Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(50,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.50");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.fy (of order \(12\), degree \(4\), 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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(84\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 344.11 | ||
Character | \(\chi\) | \(=\) | 819.344 |
Dual form | 819.2.fy.a.50.11 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{12}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.585079 | + | 2.18354i | −0.413713 | + | 1.54400i | 0.373686 | + | 0.927555i | \(0.378094\pi\) |
−0.787399 | + | 0.616443i | \(0.788573\pi\) | |||||||
\(3\) | 0.305712 | − | 1.70486i | 0.176503 | − | 0.984300i | ||||
\(4\) | −2.69350 | − | 1.55509i | −1.34675 | − | 0.777545i | ||||
\(5\) | 0.0226908 | − | 0.0846831i | 0.0101476 | − | 0.0378714i | −0.960666 | − | 0.277705i | \(-0.910426\pi\) |
0.970814 | + | 0.239834i | \(0.0770929\pi\) | |||||||
\(6\) | 3.54377 | + | 1.66501i | 1.44674 | + | 0.679738i | ||||
\(7\) | −0.707107 | − | 0.707107i | −0.267261 | − | 0.267261i | ||||
\(8\) | 1.77459 | − | 1.77459i | 0.627411 | − | 0.627411i | ||||
\(9\) | −2.81308 | − | 1.04239i | −0.937694 | − | 0.347463i | ||||
\(10\) | 0.171633 | + | 0.0990926i | 0.0542753 | + | 0.0313358i | ||||
\(11\) | 1.90998 | + | 0.511778i | 0.575881 | + | 0.154307i | 0.534993 | − | 0.844857i | \(-0.320314\pi\) |
0.0408887 | + | 0.999164i | \(0.486981\pi\) | |||||||
\(12\) | −3.47464 | + | 4.11662i | −1.00304 | + | 1.18837i | ||||
\(13\) | −3.58230 | + | 0.408798i | −0.993552 | + | 0.113380i | ||||
\(14\) | 1.95771 | − | 1.13029i | 0.523220 | − | 0.302081i | ||||
\(15\) | −0.137436 | − | 0.0645732i | −0.0354858 | − | 0.0166727i | ||||
\(16\) | −0.273568 | − | 0.473834i | −0.0683921 | − | 0.118459i | ||||
\(17\) | 1.55787 | + | 2.69831i | 0.377839 | + | 0.654436i | 0.990748 | − | 0.135718i | \(-0.0433341\pi\) |
−0.612909 | + | 0.790154i | \(0.710001\pi\) | |||||||
\(18\) | 3.92198 | − | 5.53260i | 0.924419 | − | 1.30405i | ||||
\(19\) | −2.44324 | − | 0.654663i | −0.560517 | − | 0.150190i | −0.0325730 | − | 0.999469i | \(-0.510370\pi\) |
−0.527944 | + | 0.849279i | \(0.677037\pi\) | |||||||
\(20\) | −0.192807 | + | 0.192807i | −0.0431130 | + | 0.0431130i | ||||
\(21\) | −1.42169 | + | 0.989346i | −0.310238 | + | 0.215893i | ||||
\(22\) | −2.23498 | + | 3.87110i | −0.476499 | + | 0.825321i | ||||
\(23\) | −2.36546 | −0.493232 | −0.246616 | − | 0.969113i | \(-0.579319\pi\) | ||||
−0.246616 | + | 0.969113i | \(0.579319\pi\) | |||||||
\(24\) | −2.48290 | − | 3.56793i | −0.506821 | − | 0.728300i | ||||
\(25\) | 4.32347 | + | 2.49616i | 0.864694 | + | 0.499231i | ||||
\(26\) | 1.20330 | − | 8.06129i | 0.235987 | − | 1.58095i | ||||
\(27\) | −2.63712 | + | 4.47723i | −0.507514 | + | 0.861644i | ||||
\(28\) | 0.804974 | + | 3.00420i | 0.152126 | + | 0.567741i | ||||
\(29\) | −7.62726 | + | 4.40360i | −1.41635 | + | 0.817728i | −0.995976 | − | 0.0896240i | \(-0.971433\pi\) |
−0.420371 | + | 0.907352i | \(0.638100\pi\) | |||||||
\(30\) | 0.221409 | − | 0.262317i | 0.0404236 | − | 0.0478923i | ||||
\(31\) | −6.17174 | − | 1.65371i | −1.10848 | − | 0.297016i | −0.342265 | − | 0.939603i | \(-0.611194\pi\) |
−0.766212 | + | 0.642588i | \(0.777861\pi\) | |||||||
\(32\) | 6.04295 | − | 1.61920i | 1.06825 | − | 0.286238i | ||||
\(33\) | 1.45641 | − | 3.09979i | 0.253529 | − | 0.539604i | ||||
\(34\) | −6.80335 | + | 1.82295i | −1.16676 | + | 0.312634i | ||||
\(35\) | −0.0759248 | + | 0.0438352i | −0.0128336 | + | 0.00740950i | ||||
\(36\) | 5.95601 | + | 7.18227i | 0.992668 | + | 1.19704i | ||||
\(37\) | −7.44049 | + | 1.99367i | −1.22321 | + | 0.327758i | −0.811932 | − | 0.583752i | \(-0.801584\pi\) |
−0.411278 | + | 0.911510i | \(0.634917\pi\) | |||||||
\(38\) | 2.85897 | − | 4.95188i | 0.463786 | − | 0.803301i | ||||
\(39\) | −0.398209 | + | 6.23229i | −0.0637645 | + | 0.997965i | ||||
\(40\) | −0.110011 | − | 0.190544i | −0.0173942 | − | 0.0301277i | ||||
\(41\) | −5.12248 | − | 5.12248i | −0.799997 | − | 0.799997i | 0.183098 | − | 0.983095i | \(-0.441387\pi\) |
−0.983095 | + | 0.183098i | \(0.941387\pi\) | |||||||
\(42\) | −1.32848 | − | 3.68316i | −0.204989 | − | 0.568324i | ||||
\(43\) | 5.94738i | 0.906967i | 0.891265 | + | 0.453483i | \(0.149819\pi\) | ||||
−0.891265 | + | 0.453483i | \(0.850181\pi\) | |||||||
\(44\) | −4.34867 | − | 4.34867i | −0.655586 | − | 0.655586i | ||||
\(45\) | −0.152104 | + | 0.214568i | −0.0226743 | + | 0.0319859i | ||||
\(46\) | 1.38398 | − | 5.16508i | 0.204057 | − | 0.761550i | ||||
\(47\) | 0.0184044 | + | 0.0686863i | 0.00268456 | + | 0.0100189i | 0.967255 | − | 0.253806i | \(-0.0816825\pi\) |
−0.964571 | + | 0.263825i | \(0.915016\pi\) | |||||||
\(48\) | −0.891453 | + | 0.321538i | −0.128670 | + | 0.0464101i | ||||
\(49\) | 1.00000i | 0.142857i | ||||||||
\(50\) | −7.98004 | + | 7.98004i | −1.12855 | + | 1.12855i | ||||
\(51\) | 5.07649 | − | 1.83104i | 0.710851 | − | 0.256397i | ||||
\(52\) | 10.2846 | + | 4.46971i | 1.42622 | + | 0.619837i | ||||
\(53\) | − | 7.25132i | − | 0.996045i | −0.867164 | − | 0.498023i | \(-0.834060\pi\) | ||
0.867164 | − | 0.498023i | \(-0.165940\pi\) | |||||||
\(54\) | −8.23331 | − | 8.37780i | −1.12041 | − | 1.14007i | ||||
\(55\) | 0.0866779 | − | 0.150131i | 0.0116877 | − | 0.0202436i | ||||
\(56\) | −2.50964 | −0.335365 | ||||||||
\(57\) | −1.86303 | + | 3.96523i | −0.246765 | + | 0.525208i | ||||
\(58\) | −5.15291 | − | 19.2309i | −0.676610 | − | 2.52514i | ||||
\(59\) | −0.992812 | − | 3.70523i | −0.129253 | − | 0.482379i | 0.870702 | − | 0.491810i | \(-0.163665\pi\) |
−0.999956 | + | 0.00943103i | \(0.996998\pi\) | |||||||
\(60\) | 0.269766 | + | 0.387653i | 0.0348266 | + | 0.0500458i | ||||
\(61\) | −5.39486 | −0.690741 | −0.345371 | − | 0.938466i | \(-0.612247\pi\) | ||||
−0.345371 | + | 0.938466i | \(0.612247\pi\) | |||||||
\(62\) | 7.22191 | − | 12.5087i | 0.917183 | − | 1.58861i | ||||
\(63\) | 1.25207 | + | 2.72623i | 0.157746 | + | 0.343473i | ||||
\(64\) | 13.0481i | 1.63102i | ||||||||
\(65\) | −0.0466669 | + | 0.312636i | −0.00578832 | + | 0.0387778i | ||||
\(66\) | 5.91641 | + | 4.99376i | 0.728260 | + | 0.614690i | ||||
\(67\) | −4.62147 | + | 4.62147i | −0.564603 | + | 0.564603i | −0.930611 | − | 0.366009i | \(-0.880724\pi\) |
0.366009 | + | 0.930611i | \(0.380724\pi\) | |||||||
\(68\) | − | 9.69051i | − | 1.17515i | ||||||
\(69\) | −0.723148 | + | 4.03277i | −0.0870568 | + | 0.485488i | ||||
\(70\) | −0.0512941 | − | 0.191432i | −0.00613082 | − | 0.0228805i | ||||
\(71\) | 3.39106 | − | 12.6556i | 0.402445 | − | 1.50195i | −0.406274 | − | 0.913751i | \(-0.633172\pi\) |
0.808719 | − | 0.588195i | \(-0.200161\pi\) | |||||||
\(72\) | −6.84186 | + | 3.14224i | −0.806321 | + | 0.370317i | ||||
\(73\) | −8.77428 | − | 8.77428i | −1.02695 | − | 1.02695i | −0.999627 | − | 0.0273256i | \(-0.991301\pi\) |
−0.0273256 | − | 0.999627i | \(-0.508699\pi\) | |||||||
\(74\) | − | 17.4131i | − | 2.02423i | ||||||
\(75\) | 5.57733 | − | 6.60780i | 0.644014 | − | 0.763003i | ||||
\(76\) | 5.56278 | + | 5.56278i | 0.638095 | + | 0.638095i | ||||
\(77\) | −0.988679 | − | 1.71244i | −0.112670 | − | 0.195151i | ||||
\(78\) | −13.3755 | − | 4.51589i | −1.51448 | − | 0.511324i | ||||
\(79\) | −8.51984 | + | 14.7568i | −0.958557 | + | 1.66027i | −0.232547 | + | 0.972585i | \(0.574706\pi\) |
−0.726010 | + | 0.687684i | \(0.758627\pi\) | |||||||
\(80\) | −0.0463332 | + | 0.0124150i | −0.00518021 | + | 0.00138803i | ||||
\(81\) | 6.82684 | + | 5.86466i | 0.758538 | + | 0.651628i | ||||
\(82\) | 14.1822 | − | 8.18810i | 1.56616 | − | 0.904225i | ||||
\(83\) | 10.8032 | − | 2.89471i | 1.18581 | − | 0.317736i | 0.388579 | − | 0.921415i | \(-0.372966\pi\) |
0.797227 | + | 0.603679i | \(0.206299\pi\) | |||||||
\(84\) | 5.36783 | − | 0.453946i | 0.585678 | − | 0.0495295i | ||||
\(85\) | 0.263850 | − | 0.0706985i | 0.0286186 | − | 0.00766833i | ||||
\(86\) | −12.9864 | − | 3.47969i | −1.40036 | − | 0.375224i | ||||
\(87\) | 5.17577 | + | 14.3496i | 0.554901 | + | 1.53844i | ||||
\(88\) | 4.29762 | − | 2.48123i | 0.458128 | − | 0.264500i | ||||
\(89\) | 1.29962 | + | 4.85023i | 0.137759 | + | 0.514124i | 0.999971 | + | 0.00757652i | \(0.00241170\pi\) |
−0.862212 | + | 0.506547i | \(0.830922\pi\) | |||||||
\(90\) | −0.379525 | − | 0.457664i | −0.0400055 | − | 0.0482421i | ||||
\(91\) | 2.82213 | + | 2.24401i | 0.295840 | + | 0.235236i | ||||
\(92\) | 6.37135 | + | 3.67850i | 0.664259 | + | 0.383510i | ||||
\(93\) | −4.70612 | + | 10.0164i | −0.488002 | + | 1.03865i | ||||
\(94\) | −0.160748 | −0.0165798 | ||||||||
\(95\) | −0.110878 | + | 0.192046i | −0.0113758 | + | 0.0197035i | ||||
\(96\) | −0.913111 | − | 10.7974i | −0.0931940 | − | 1.10200i | ||||
\(97\) | 1.28086 | − | 1.28086i | 0.130051 | − | 0.130051i | −0.639085 | − | 0.769136i | \(-0.720687\pi\) |
0.769136 | + | 0.639085i | \(0.220687\pi\) | |||||||
\(98\) | −2.18354 | − | 0.585079i | −0.220571 | − | 0.0591019i | ||||
\(99\) | −4.83946 | − | 3.43062i | −0.486384 | − | 0.344790i | ||||
\(100\) | −7.76350 | − | 13.4468i | −0.776350 | − | 1.34468i | ||||
\(101\) | 8.55549 | + | 14.8185i | 0.851303 | + | 1.47450i | 0.880033 | + | 0.474913i | \(0.157521\pi\) |
−0.0287295 | + | 0.999587i | \(0.509146\pi\) | |||||||
\(102\) | 1.02801 | + | 12.1560i | 0.101788 | + | 1.20363i | ||||
\(103\) | 15.2918 | − | 8.82874i | 1.50675 | − | 0.869922i | 0.506780 | − | 0.862075i | \(-0.330836\pi\) |
0.999969 | − | 0.00784662i | \(-0.00249768\pi\) | |||||||
\(104\) | −5.63165 | + | 7.08255i | −0.552229 | + | 0.694501i | ||||
\(105\) | 0.0515217 | + | 0.142842i | 0.00502800 | + | 0.0139399i | ||||
\(106\) | 15.8336 | + | 4.24259i | 1.53789 | + | 0.412077i | ||||
\(107\) | −1.85310 | − | 1.06989i | −0.179146 | − | 0.103430i | 0.407745 | − | 0.913096i | \(-0.366315\pi\) |
−0.586891 | + | 0.809666i | \(0.699648\pi\) | |||||||
\(108\) | 14.0656 | − | 7.95844i | 1.35346 | − | 0.765802i | ||||
\(109\) | −4.68158 | + | 4.68158i | −0.448414 | + | 0.448414i | −0.894827 | − | 0.446413i | \(-0.852701\pi\) |
0.446413 | + | 0.894827i | \(0.352701\pi\) | |||||||
\(110\) | 0.277103 | + | 0.277103i | 0.0264208 | + | 0.0264208i | ||||
\(111\) | 1.12428 | + | 13.2945i | 0.106712 | + | 1.26186i | ||||
\(112\) | −0.141609 | + | 0.528493i | −0.0133808 | + | 0.0499379i | ||||
\(113\) | 5.40533 | + | 3.12077i | 0.508491 | + | 0.293577i | 0.732213 | − | 0.681076i | \(-0.238488\pi\) |
−0.223722 | + | 0.974653i | \(0.571821\pi\) | |||||||
\(114\) | −7.56823 | − | 6.38799i | −0.708830 | − | 0.598290i | ||||
\(115\) | −0.0536741 | + | 0.200314i | −0.00500513 | + | 0.0186794i | ||||
\(116\) | 27.3920 | 2.54328 | ||||||||
\(117\) | 10.5034 | + | 2.58417i | 0.971042 | + | 0.238907i | ||||
\(118\) | 8.67139 | 0.798267 | ||||||||
\(119\) | 0.806412 | − | 3.00957i | 0.0739237 | − | 0.275887i | ||||
\(120\) | −0.358482 | + | 0.129301i | −0.0327248 | + | 0.0118035i | ||||
\(121\) | −6.14017 | − | 3.54503i | −0.558197 | − | 0.322275i | ||||
\(122\) | 3.15642 | − | 11.7799i | 0.285769 | − | 1.06650i | ||||
\(123\) | −10.2991 | + | 7.16709i | −0.928639 | + | 0.646235i | ||||
\(124\) | 14.0519 | + | 14.0519i | 1.26190 | + | 1.26190i | ||||
\(125\) | 0.619447 | − | 0.619447i | 0.0554050 | − | 0.0554050i | ||||
\(126\) | −6.68540 | + | 1.13888i | −0.595583 | + | 0.101460i | ||||
\(127\) | 0.491066 | + | 0.283517i | 0.0435750 | + | 0.0251581i | 0.521629 | − | 0.853172i | \(-0.325324\pi\) |
−0.478054 | + | 0.878330i | \(0.658658\pi\) | |||||||
\(128\) | −16.4053 | − | 4.39578i | −1.45004 | − | 0.388536i | ||||
\(129\) | 10.1394 | + | 1.81818i | 0.892728 | + | 0.160082i | ||||
\(130\) | −0.655352 | − | 0.284816i | −0.0574781 | − | 0.0249800i | ||||
\(131\) | 5.62317 | − | 3.24654i | 0.491298 | − | 0.283651i | −0.233815 | − | 0.972281i | \(-0.575121\pi\) |
0.725113 | + | 0.688630i | \(0.241788\pi\) | |||||||
\(132\) | −8.74330 | + | 6.08442i | −0.761006 | + | 0.529581i | ||||
\(133\) | 1.26471 | + | 2.19054i | 0.109664 | + | 0.189944i | ||||
\(134\) | −7.38726 | − | 12.7951i | −0.638162 | − | 1.10533i | ||||
\(135\) | 0.319308 | + | 0.324911i | 0.0274816 | + | 0.0279639i | ||||
\(136\) | 7.55295 | + | 2.02381i | 0.647660 | + | 0.173540i | ||||
\(137\) | 7.96257 | − | 7.96257i | 0.680288 | − | 0.680288i | −0.279777 | − | 0.960065i | \(-0.590260\pi\) |
0.960065 | + | 0.279777i | \(0.0902605\pi\) | |||||||
\(138\) | −8.38263 | − | 3.93851i | −0.713577 | − | 0.335269i | ||||
\(139\) | 5.80681 | − | 10.0577i | 0.492527 | − | 0.853082i | −0.507436 | − | 0.861690i | \(-0.669407\pi\) |
0.999963 | + | 0.00860748i | \(0.00273988\pi\) | |||||||
\(140\) | 0.272671 | 0.0230449 | ||||||||
\(141\) | 0.122727 | − | 0.0103787i | 0.0103355 | − | 0.000874047i | ||||
\(142\) | 25.6501 | + | 14.8091i | 2.15251 | + | 1.24275i | ||||
\(143\) | −7.05135 | − | 1.05255i | −0.589663 | − | 0.0880184i | ||||
\(144\) | 0.275649 | + | 1.61810i | 0.0229708 | + | 0.134842i | ||||
\(145\) | 0.199842 | + | 0.745821i | 0.0165960 | + | 0.0619371i | ||||
\(146\) | 24.2927 | − | 14.0254i | 2.01048 | − | 1.16075i | ||||
\(147\) | 1.70486 | + | 0.305712i | 0.140614 | + | 0.0252147i | ||||
\(148\) | 23.1413 | + | 6.20069i | 1.90220 | + | 0.509693i | ||||
\(149\) | −11.1182 | + | 2.97911i | −0.910839 | + | 0.244058i | −0.683665 | − | 0.729796i | \(-0.739615\pi\) |
−0.227173 | + | 0.973854i | \(0.572948\pi\) | |||||||
\(150\) | 11.1652 | + | 16.0444i | 0.911638 | + | 1.31002i | ||||
\(151\) | 6.88461 | − | 1.84472i | 0.560261 | − | 0.150122i | 0.0324349 | − | 0.999474i | \(-0.489674\pi\) |
0.527826 | + | 0.849352i | \(0.323007\pi\) | |||||||
\(152\) | −5.49748 | + | 3.17397i | −0.445905 | + | 0.257443i | ||||
\(153\) | −1.56972 | − | 9.21446i | −0.126904 | − | 0.744945i | ||||
\(154\) | 4.31765 | − | 1.15691i | 0.347926 | − | 0.0932265i | ||||
\(155\) | −0.280083 | + | 0.485118i | −0.0224968 | + | 0.0389656i | ||||
\(156\) | 10.7643 | − | 16.1674i | 0.861838 | − | 1.29443i | ||||
\(157\) | −6.99918 | − | 12.1229i | −0.558596 | − | 0.967516i | −0.997614 | − | 0.0690378i | \(-0.978007\pi\) |
0.439019 | − | 0.898478i | \(-0.355326\pi\) | |||||||
\(158\) | −27.2373 | − | 27.2373i | −2.16689 | − | 2.16689i | ||||
\(159\) | −12.3625 | − | 2.21681i | −0.980408 | − | 0.175805i | ||||
\(160\) | − | 0.548477i | − | 0.0433609i | ||||||
\(161\) | 1.67263 | + | 1.67263i | 0.131822 | + | 0.131822i | ||||
\(162\) | −16.8000 | + | 11.4754i | −1.31993 | + | 0.901595i | ||||
\(163\) | −0.0941290 | + | 0.351294i | −0.00737275 | + | 0.0275155i | −0.969514 | − | 0.245035i | \(-0.921201\pi\) |
0.962141 | + | 0.272551i | \(0.0878672\pi\) | |||||||
\(164\) | 5.83146 | + | 21.7633i | 0.455360 | + | 1.69943i | ||||
\(165\) | −0.229453 | − | 0.193670i | −0.0178629 | − | 0.0150772i | ||||
\(166\) | 25.2829i | 1.96233i | ||||||||
\(167\) | −6.97223 | + | 6.97223i | −0.539527 | + | 0.539527i | −0.923390 | − | 0.383863i | \(-0.874593\pi\) |
0.383863 | + | 0.923390i | \(0.374593\pi\) | |||||||
\(168\) | −0.767227 | + | 4.27858i | −0.0591929 | + | 0.330100i | ||||
\(169\) | 12.6658 | − | 2.92888i | 0.974290 | − | 0.225298i | ||||
\(170\) | 0.617493i | 0.0473596i | ||||||||
\(171\) | 6.19060 | + | 4.38842i | 0.473407 | + | 0.335591i | ||||
\(172\) | 9.24871 | − | 16.0192i | 0.705208 | − | 1.22146i | ||||
\(173\) | −6.44720 | −0.490171 | −0.245086 | − | 0.969501i | \(-0.578816\pi\) | ||||
−0.245086 | + | 0.969501i | \(0.578816\pi\) | |||||||
\(174\) | −34.3613 | + | 2.90586i | −2.60492 | + | 0.220292i | ||||
\(175\) | −1.29211 | − | 4.82220i | −0.0976740 | − | 0.364524i | ||||
\(176\) | −0.280013 | − | 1.04502i | −0.0211067 | − | 0.0787714i | ||||
\(177\) | −6.62040 | + | 0.559872i | −0.497619 | + | 0.0420826i | ||||
\(178\) | −11.3511 | −0.850799 | ||||||||
\(179\) | −6.02414 | + | 10.4341i | −0.450266 | + | 0.779883i | −0.998402 | − | 0.0565059i | \(-0.982004\pi\) |
0.548137 | + | 0.836389i | \(0.315337\pi\) | |||||||
\(180\) | 0.743363 | − | 0.341402i | 0.0554070 | − | 0.0254466i | ||||
\(181\) | 9.52948i | 0.708320i | 0.935185 | + | 0.354160i | \(0.115233\pi\) | ||||
−0.935185 | + | 0.354160i | \(0.884767\pi\) | |||||||
\(182\) | −6.55106 | + | 4.84933i | −0.485597 | + | 0.359456i | ||||
\(183\) | −1.64927 | + | 9.19747i | −0.121918 | + | 0.679897i | ||||
\(184\) | −4.19771 | + | 4.19771i | −0.309459 | + | 0.309459i | ||||
\(185\) | 0.675322i | 0.0496507i | ||||||||
\(186\) | −19.1177 | − | 16.1364i | −1.40178 | − | 1.18318i | ||||
\(187\) | 1.59457 | + | 5.95100i | 0.116606 | + | 0.435180i | ||||
\(188\) | 0.0572411 | − | 0.213627i | 0.00417474 | − | 0.0155803i | ||||
\(189\) | 5.03061 | − | 1.30116i | 0.365923 | − | 0.0946451i | ||||
\(190\) | −0.354469 | − | 0.354469i | −0.0257159 | − | 0.0257159i | ||||
\(191\) | 24.1986i | 1.75095i | 0.483265 | + | 0.875474i | \(0.339451\pi\) | ||||
−0.483265 | + | 0.875474i | \(0.660549\pi\) | |||||||
\(192\) | 22.2452 | + | 3.98897i | 1.60541 | + | 0.287879i | ||||
\(193\) | 6.28304 | + | 6.28304i | 0.452263 | + | 0.452263i | 0.896105 | − | 0.443842i | \(-0.146385\pi\) |
−0.443842 | + | 0.896105i | \(0.646385\pi\) | |||||||
\(194\) | 2.04740 | + | 3.54621i | 0.146995 | + | 0.254603i | ||||
\(195\) | 0.518734 | + | 0.175137i | 0.0371473 | + | 0.0125418i | ||||
\(196\) | 1.55509 | − | 2.69350i | 0.111078 | − | 0.192393i | ||||
\(197\) | −3.75223 | + | 1.00541i | −0.267336 | + | 0.0716323i | −0.389997 | − | 0.920816i | \(-0.627524\pi\) |
0.122661 | + | 0.992449i | \(0.460857\pi\) | |||||||
\(198\) | 10.3224 | − | 8.55999i | 0.733579 | − | 0.608332i | ||||
\(199\) | 12.6432 | − | 7.29957i | 0.896255 | − | 0.517453i | 0.0202714 | − | 0.999795i | \(-0.493547\pi\) |
0.875983 | + | 0.482342i | \(0.160214\pi\) | |||||||
\(200\) | 12.1020 | − | 3.24272i | 0.855741 | − | 0.229295i | ||||
\(201\) | 6.46612 | + | 9.29180i | 0.456085 | + | 0.655393i | ||||
\(202\) | −37.3626 | + | 10.0113i | −2.62882 | + | 0.704391i | ||||
\(203\) | 8.50710 | + | 2.27947i | 0.597082 | + | 0.159988i | ||||
\(204\) | −16.5209 | − | 2.96250i | −1.15670 | − | 0.207417i | ||||
\(205\) | −0.550020 | + | 0.317554i | −0.0384151 | + | 0.0221790i | ||||
\(206\) | 10.3310 | + | 38.5559i | 0.719796 | + | 2.68632i | ||||
\(207\) | 6.65422 | + | 2.46573i | 0.462501 | + | 0.171380i | ||||
\(208\) | 1.17371 | + | 1.58558i | 0.0813819 | + | 0.109940i | ||||
\(209\) | −4.33149 | − | 2.50079i | −0.299616 | − | 0.172983i | ||||
\(210\) | −0.342046 | + | 0.0289261i | −0.0236034 | + | 0.00199609i | ||||
\(211\) | −23.8468 | −1.64168 | −0.820842 | − | 0.571155i | \(-0.806496\pi\) | ||||
−0.820842 | + | 0.571155i | \(0.806496\pi\) | |||||||
\(212\) | −11.2765 | + | 19.5314i | −0.774470 | + | 1.34142i | ||||
\(213\) | −20.5394 | − | 9.65026i | −1.40733 | − | 0.661225i | ||||
\(214\) | 3.42036 | − | 3.42036i | 0.233811 | − | 0.233811i | ||||
\(215\) | 0.503643 | + | 0.134951i | 0.0343481 | + | 0.00920356i | ||||
\(216\) | 3.26544 | + | 12.6250i | 0.222185 | + | 0.859024i | ||||
\(217\) | 3.19473 | + | 5.53343i | 0.216872 | + | 0.375634i | ||||
\(218\) | −7.48334 | − | 12.9615i | −0.506836 | − | 0.877865i | ||||
\(219\) | −17.6413 | + | 12.2765i | −1.19209 | + | 0.829569i | ||||
\(220\) | −0.466933 | + | 0.269584i | −0.0314806 | + | 0.0181754i | ||||
\(221\) | −6.68382 | − | 9.02930i | −0.449602 | − | 0.607376i | ||||
\(222\) | −29.6869 | − | 5.32339i | −1.99245 | − | 0.357283i | ||||
\(223\) | −21.5109 | − | 5.76383i | −1.44048 | − | 0.385974i | −0.547776 | − | 0.836625i | \(-0.684525\pi\) |
−0.892700 | + | 0.450651i | \(0.851192\pi\) | |||||||
\(224\) | −5.41796 | − | 3.12806i | −0.362003 | − | 0.209003i | ||||
\(225\) | −9.56030 | − | 11.5286i | −0.637353 | − | 0.768576i | ||||
\(226\) | −9.97688 | + | 9.97688i | −0.663652 | + | 0.663652i | ||||
\(227\) | 11.3980 | + | 11.3980i | 0.756515 | + | 0.756515i | 0.975686 | − | 0.219171i | \(-0.0703354\pi\) |
−0.219171 | + | 0.975686i | \(0.570335\pi\) | |||||||
\(228\) | 11.1844 | − | 7.78315i | 0.740703 | − | 0.515451i | ||||
\(229\) | 4.05899 | − | 15.1484i | 0.268226 | − | 1.00103i | −0.692021 | − | 0.721878i | \(-0.743279\pi\) |
0.960246 | − | 0.279154i | \(-0.0900540\pi\) | |||||||
\(230\) | −0.405992 | − | 0.234399i | −0.0267703 | − | 0.0154558i | ||||
\(231\) | −3.22172 | + | 1.16204i | −0.211974 | + | 0.0764569i | ||||
\(232\) | −5.72066 | + | 21.3498i | −0.375580 | + | 1.40168i | ||||
\(233\) | −7.39188 | −0.484258 | −0.242129 | − | 0.970244i | \(-0.577846\pi\) | ||||
−0.242129 | + | 0.970244i | \(0.577846\pi\) | |||||||
\(234\) | −11.7880 | + | 21.4228i | −0.770605 | + | 1.40045i | ||||
\(235\) | 0.00623418 | 0.000406673 | ||||||||
\(236\) | −3.08783 | + | 11.5239i | −0.201000 | + | 0.750143i | ||||
\(237\) | 22.5536 | + | 19.0364i | 1.46502 | + | 1.23655i | ||||
\(238\) | 6.09972 | + | 3.52167i | 0.395386 | + | 0.228276i | ||||
\(239\) | 2.65725 | − | 9.91699i | 0.171883 | − | 0.641477i | −0.825178 | − | 0.564872i | \(-0.808925\pi\) |
0.997062 | − | 0.0766046i | \(-0.0244079\pi\) | |||||||
\(240\) | 0.00700111 | + | 0.0827870i | 0.000451920 | + | 0.00534388i | ||||
\(241\) | −9.92762 | − | 9.92762i | −0.639494 | − | 0.639494i | 0.310936 | − | 0.950431i | \(-0.399357\pi\) |
−0.950431 | + | 0.310936i | \(0.899357\pi\) | |||||||
\(242\) | 11.3332 | − | 11.3332i | 0.728526 | − | 0.728526i | ||||
\(243\) | 12.0855 | − | 9.84590i | 0.775282 | − | 0.631615i | ||||
\(244\) | 14.5310 | + | 8.38950i | 0.930254 | + | 0.537082i | ||||
\(245\) | 0.0846831 | + | 0.0226908i | 0.00541021 | + | 0.00144966i | ||||
\(246\) | −9.62388 | − | 26.6819i | −0.613596 | − | 1.70117i | ||||
\(247\) | 9.02003 | + | 1.34641i | 0.573931 | + | 0.0856700i | ||||
\(248\) | −13.8869 | + | 8.01762i | −0.881821 | + | 0.509120i | ||||
\(249\) | −1.63240 | − | 19.3029i | −0.103449 | − | 1.22327i | ||||
\(250\) | 0.990164 | + | 1.71501i | 0.0626235 | + | 0.108467i | ||||
\(251\) | 5.77140 | + | 9.99635i | 0.364287 | + | 0.630964i | 0.988662 | − | 0.150161i | \(-0.0479793\pi\) |
−0.624374 | + | 0.781125i | \(0.714646\pi\) | |||||||
\(252\) | 0.867097 | − | 9.29017i | 0.0546220 | − | 0.585225i | ||||
\(253\) | −4.51798 | − | 1.21059i | −0.284043 | − | 0.0761091i | ||||
\(254\) | −0.906384 | + | 0.906384i | −0.0568716 | + | 0.0568716i | ||||
\(255\) | −0.0398687 | − | 0.471441i | −0.00249668 | − | 0.0295228i | ||||
\(256\) | 6.14863 | − | 10.6497i | 0.384289 | − | 0.665608i | ||||
\(257\) | 7.72844 | 0.482087 | 0.241043 | − | 0.970514i | \(-0.422510\pi\) | ||||
0.241043 | + | 0.970514i | \(0.422510\pi\) | |||||||
\(258\) | −9.90245 | + | 21.0761i | −0.616500 | + | 1.31214i | ||||
\(259\) | 6.67096 | + | 3.85148i | 0.414514 | + | 0.239320i | ||||
\(260\) | 0.611875 | − | 0.769514i | 0.0379469 | − | 0.0477232i | ||||
\(261\) | 26.0464 | − | 4.43710i | 1.61223 | − | 0.274650i | ||||
\(262\) | 3.79896 | + | 14.1779i | 0.234700 | + | 0.875914i | ||||
\(263\) | −6.00298 | + | 3.46582i | −0.370160 | + | 0.213712i | −0.673528 | − | 0.739162i | \(-0.735222\pi\) |
0.303369 | + | 0.952873i | \(0.401889\pi\) | |||||||
\(264\) | −2.91631 | − | 8.08537i | −0.179487 | − | 0.497620i | ||||
\(265\) | −0.614064 | − | 0.164538i | −0.0377217 | − | 0.0101075i | ||||
\(266\) | −5.52311 | + | 1.47991i | −0.338643 | + | 0.0907392i | ||||
\(267\) | 8.66627 | − | 0.732887i | 0.530367 | − | 0.0448520i | ||||
\(268\) | 19.6347 | − | 5.26111i | 1.19938 | − | 0.321373i | ||||
\(269\) | 0.299119 | − | 0.172697i | 0.0182376 | − | 0.0105295i | −0.490853 | − | 0.871242i | \(-0.663315\pi\) |
0.509091 | + | 0.860713i | \(0.329982\pi\) | |||||||
\(270\) | −0.896278 | + | 0.507123i | −0.0545458 | + | 0.0308626i | ||||
\(271\) | −13.3856 | + | 3.58667i | −0.813120 | + | 0.217875i | −0.641336 | − | 0.767260i | \(-0.721620\pi\) |
−0.171784 | + | 0.985135i | \(0.554953\pi\) | |||||||
\(272\) | 0.852367 | − | 1.47634i | 0.0516823 | − | 0.0895164i | ||||
\(273\) | 4.68847 | − | 4.12532i | 0.283759 | − | 0.249676i | ||||
\(274\) | 12.7279 | + | 22.0453i | 0.768920 | + | 1.33181i | ||||
\(275\) | 6.98027 | + | 6.98027i | 0.420926 | + | 0.420926i | ||||
\(276\) | 8.21912 | − | 9.73769i | 0.494733 | − | 0.586140i | ||||
\(277\) | − | 30.8361i | − | 1.85276i | −0.376588 | − | 0.926381i | \(-0.622903\pi\) | ||
0.376588 | − | 0.926381i | \(-0.377097\pi\) | |||||||
\(278\) | 18.5640 | + | 18.5640i | 1.11339 | + | 1.11339i | ||||
\(279\) | 15.6378 | + | 11.0854i | 0.936210 | + | 0.663665i | ||||
\(280\) | −0.0569457 | + | 0.212524i | −0.00340316 | + | 0.0127008i | ||||
\(281\) | −0.0627560 | − | 0.234209i | −0.00374371 | − | 0.0139717i | 0.964029 | − | 0.265798i | \(-0.0856355\pi\) |
−0.967772 | + | 0.251826i | \(0.918969\pi\) | |||||||
\(282\) | −0.0491424 | + | 0.274052i | −0.00292639 | + | 0.0163195i | ||||
\(283\) | 11.8324i | 0.703365i | 0.936119 | + | 0.351682i | \(0.114390\pi\) | ||||
−0.936119 | + | 0.351682i | \(0.885610\pi\) | |||||||
\(284\) | −28.8145 | + | 28.8145i | −1.70982 | + | 1.70982i | ||||
\(285\) | 0.293514 | + | 0.247742i | 0.0173863 | + | 0.0146749i | ||||
\(286\) | 6.42387 | − | 14.7811i | 0.379852 | − | 0.874025i | ||||
\(287\) | 7.24428i | 0.427616i | ||||||||
\(288\) | −18.6872 | − | 1.74416i | −1.10115 | − | 0.102776i | ||||
\(289\) | 3.64609 | − | 6.31521i | 0.214476 | − | 0.371483i | ||||
\(290\) | −1.74546 | −0.102497 | ||||||||
\(291\) | −1.79210 | − | 2.57525i | −0.105055 | − | 0.150964i | ||||
\(292\) | 9.98869 | + | 37.2783i | 0.584544 | + | 2.18155i | ||||
\(293\) | 0.456027 | + | 1.70192i | 0.0266414 | + | 0.0994270i | 0.977966 | − | 0.208763i | \(-0.0669436\pi\) |
−0.951325 | + | 0.308190i | \(0.900277\pi\) | |||||||
\(294\) | −1.66501 | + | 3.54377i | −0.0971054 | + | 0.206677i | ||||
\(295\) | −0.336298 | −0.0195800 | ||||||||
\(296\) | −9.66585 | + | 16.7417i | −0.561816 | + | 0.973094i | ||||
\(297\) | −7.32820 | + | 7.20181i | −0.425225 | + | 0.417891i | ||||
\(298\) | − | 26.0201i | − | 1.50730i | ||||||
\(299\) | 8.47378 | − | 0.966995i | 0.490052 | − | 0.0559228i | ||||
\(300\) | −25.2982 | + | 9.12482i | −1.46059 | + | 0.526822i | ||||
\(301\) | 4.20543 | − | 4.20543i | 0.242397 | − | 0.242397i | ||||
\(302\) | 16.1121i | 0.927150i | ||||||||
\(303\) | 27.8790 | − | 10.0557i | 1.60161 | − | 0.577684i | ||||
\(304\) | 0.358190 | + | 1.33678i | 0.0205436 | + | 0.0766698i | ||||
\(305\) | −0.122414 | + | 0.456854i | −0.00700938 | + | 0.0261594i | ||||
\(306\) | 21.0386 | + | 1.96364i | 1.20270 | + | 0.112254i | ||||
\(307\) | 17.8862 | + | 17.8862i | 1.02082 | + | 1.02082i | 0.999779 | + | 0.0210412i | \(0.00669811\pi\) |
0.0210412 | + | 0.999779i | \(0.493302\pi\) | |||||||
\(308\) | 6.14994i | 0.350426i | ||||||||
\(309\) | −10.3769 | − | 28.7695i | −0.590319 | − | 1.63664i | ||||
\(310\) | −0.895406 | − | 0.895406i | −0.0508556 | − | 0.0508556i | ||||
\(311\) | −0.905589 | − | 1.56853i | −0.0513513 | − | 0.0889430i | 0.839207 | − | 0.543812i | \(-0.183019\pi\) |
−0.890558 | + | 0.454869i | \(0.849686\pi\) | |||||||
\(312\) | 10.3531 | + | 11.7664i | 0.586127 | + | 0.666140i | ||||
\(313\) | 6.00459 | − | 10.4003i | 0.339399 | − | 0.587857i | −0.644920 | − | 0.764250i | \(-0.723110\pi\) |
0.984320 | + | 0.176393i | \(0.0564429\pi\) | |||||||
\(314\) | 30.5660 | − | 8.19015i | 1.72494 | − | 0.462197i | ||||
\(315\) | 0.259276 | − | 0.0441687i | 0.0146085 | − | 0.00248862i | ||||
\(316\) | 45.8963 | − | 26.4982i | 2.58187 | − | 1.49064i | ||||
\(317\) | 29.0154 | − | 7.77466i | 1.62967 | − | 0.436668i | 0.675847 | − | 0.737042i | \(-0.263778\pi\) |
0.953822 | + | 0.300373i | \(0.0971113\pi\) | |||||||
\(318\) | 12.0735 | − | 25.6970i | 0.677050 | − | 1.44102i | ||||
\(319\) | −16.8216 | + | 4.50733i | −0.941829 | + | 0.252362i | ||||
\(320\) | 1.10496 | + | 0.296072i | 0.0617690 | + | 0.0165510i | ||||
\(321\) | −2.39052 | + | 2.83220i | −0.133426 | + | 0.158078i | ||||
\(322\) | −4.63089 | + | 2.67364i | −0.258069 | + | 0.148996i | ||||
\(323\) | −2.03976 | − | 7.61248i | −0.113495 | − | 0.423570i | ||||
\(324\) | −9.26800 | − | 26.4128i | −0.514889 | − | 1.46738i | ||||
\(325\) | −16.5084 | − | 7.17456i | −0.915721 | − | 0.397973i | ||||
\(326\) | −0.711993 | − | 0.411069i | −0.0394337 | − | 0.0227670i | ||||
\(327\) | 6.55021 | + | 9.41264i | 0.362227 | + | 0.520520i | ||||
\(328\) | −18.1805 | −1.00385 | ||||||||
\(329\) | 0.0355546 | − | 0.0615824i | 0.00196019 | − | 0.00339515i | ||||
\(330\) | 0.557135 | − | 0.387708i | 0.0306693 | − | 0.0213426i | ||||
\(331\) | −7.29804 | + | 7.29804i | −0.401137 | + | 0.401137i | −0.878633 | − | 0.477497i | \(-0.841544\pi\) |
0.477497 | + | 0.878633i | \(0.341544\pi\) | |||||||
\(332\) | −33.5999 | − | 9.00308i | −1.84404 | − | 0.494108i | ||||
\(333\) | 23.0089 | + | 2.14753i | 1.26088 | + | 0.117684i | ||||
\(334\) | −11.1449 | − | 19.3035i | −0.609820 | − | 1.05624i | ||||
\(335\) | 0.286496 | + | 0.496226i | 0.0156529 | + | 0.0271117i | ||||
\(336\) | 0.857714 | + | 0.402991i | 0.0467922 | + | 0.0219849i | ||||
\(337\) | −12.8631 | + | 7.42650i | −0.700696 | + | 0.404547i | −0.807607 | − | 0.589722i | \(-0.799237\pi\) |
0.106911 | + | 0.994269i | \(0.465904\pi\) | |||||||
\(338\) | −1.01514 | + | 29.3699i | −0.0552165 | + | 1.59751i | ||||
\(339\) | 6.97294 | − | 8.26126i | 0.378718 | − | 0.448690i | ||||
\(340\) | −0.820622 | − | 0.219885i | −0.0445045 | − | 0.0119249i | ||||
\(341\) | −10.9416 | − | 6.31712i | −0.592520 | − | 0.342091i | ||||
\(342\) | −13.2043 | + | 10.9499i | −0.714007 | + | 0.592102i | ||||
\(343\) | 0.707107 | − | 0.707107i | 0.0381802 | − | 0.0381802i | ||||
\(344\) | 10.5541 | + | 10.5541i | 0.569041 | + | 0.569041i | ||||
\(345\) | 0.325099 | + | 0.152745i | 0.0175027 | + | 0.00822352i | ||||
\(346\) | 3.77212 | − | 14.0777i | 0.202790 | − | 0.756824i | ||||
\(347\) | 23.9646 | + | 13.8360i | 1.28649 | + | 0.742754i | 0.978026 | − | 0.208483i | \(-0.0668526\pi\) |
0.308462 | + | 0.951237i | \(0.400186\pi\) | |||||||
\(348\) | 8.37406 | − | 46.6995i | 0.448897 | − | 2.50335i | ||||
\(349\) | 0.931805 | − | 3.47754i | 0.0498784 | − | 0.186149i | −0.936492 | − | 0.350689i | \(-0.885947\pi\) |
0.986370 | + | 0.164540i | \(0.0526141\pi\) | |||||||
\(350\) | 11.2855 | 0.603234 | ||||||||
\(351\) | 7.61667 | − | 17.1168i | 0.406548 | − | 0.913629i | ||||
\(352\) | 12.3706 | 0.659356 | ||||||||
\(353\) | 5.39162 | − | 20.1218i | 0.286967 | − | 1.07098i | −0.660423 | − | 0.750894i | \(-0.729623\pi\) |
0.947390 | − | 0.320082i | \(-0.103710\pi\) | |||||||
\(354\) | 2.65095 | − | 14.7835i | 0.140896 | − | 0.785734i | ||||
\(355\) | −0.994772 | − | 0.574332i | −0.0527970 | − | 0.0304824i | ||||
\(356\) | 4.04204 | − | 15.0851i | 0.214228 | − | 0.799509i | ||||
\(357\) | −4.88436 | − | 2.29488i | −0.258508 | − | 0.121458i | ||||
\(358\) | −19.2588 | − | 19.2588i | −1.01786 | − | 1.01786i | ||||
\(359\) | −9.96897 | + | 9.96897i | −0.526142 | + | 0.526142i | −0.919420 | − | 0.393278i | \(-0.871341\pi\) |
0.393278 | + | 0.919420i | \(0.371341\pi\) | |||||||
\(360\) | 0.110848 | + | 0.650690i | 0.00584218 | + | 0.0342944i | ||||
\(361\) | −10.9137 | − | 6.30101i | −0.574404 | − | 0.331632i | ||||
\(362\) | −20.8080 | − | 5.57550i | −1.09365 | − | 0.293042i | ||||
\(363\) | −7.92089 | + | 9.38435i | −0.415739 | + | 0.492551i | ||||
\(364\) | −4.11177 | − | 10.4329i | −0.215515 | − | 0.546832i | ||||
\(365\) | −0.942129 | + | 0.543938i | −0.0493133 | + | 0.0284710i | ||||
\(366\) | −19.1181 | − | 8.98250i | −0.999320 | − | 0.469523i | ||||
\(367\) | −7.43645 | − | 12.8803i | −0.388180 | − | 0.672347i | 0.604025 | − | 0.796965i | \(-0.293563\pi\) |
−0.992205 | + | 0.124619i | \(0.960229\pi\) | |||||||
\(368\) | 0.647114 | + | 1.12083i | 0.0337332 | + | 0.0584276i | ||||
\(369\) | 9.07032 | + | 19.7496i | 0.472182 | + | 1.02812i | ||||
\(370\) | −1.47460 | − | 0.395117i | −0.0766606 | − | 0.0205411i | ||||
\(371\) | −5.12746 | + | 5.12746i | −0.266204 | + | 0.266204i | ||||
\(372\) | 28.2523 | − | 19.6606i | 1.46481 | − | 1.01936i | ||||
\(373\) | 11.6008 | − | 20.0932i | 0.600667 | − | 1.04039i | −0.392053 | − | 0.919942i | \(-0.628235\pi\) |
0.992720 | − | 0.120443i | \(-0.0384315\pi\) | |||||||
\(374\) | −13.9272 | −0.720159 | ||||||||
\(375\) | −0.866697 | − | 1.24544i | −0.0447560 | − | 0.0643143i | ||||
\(376\) | 0.154550 | + | 0.0892294i | 0.00797030 | + | 0.00460166i | ||||
\(377\) | 25.5230 | − | 18.8930i | 1.31450 | − | 0.973041i | ||||
\(378\) | −0.102170 | + | 11.7458i | −0.00525508 | + | 0.604140i | ||||
\(379\) | 4.87506 | + | 18.1940i | 0.250415 | + | 0.934561i | 0.970584 | + | 0.240763i | \(0.0773976\pi\) |
−0.720169 | + | 0.693799i | \(0.755936\pi\) | |||||||
\(380\) | 0.597298 | − | 0.344850i | 0.0306407 | − | 0.0176904i | ||||
\(381\) | 0.633481 | − | 0.750523i | 0.0324542 | − | 0.0384505i | ||||
\(382\) | −52.8387 | − | 14.1581i | −2.70346 | − | 0.724390i | ||||
\(383\) | 16.7798 | − | 4.49615i | 0.857410 | − | 0.229742i | 0.196774 | − | 0.980449i | \(-0.436953\pi\) |
0.660636 | + | 0.750706i | \(0.270287\pi\) | |||||||
\(384\) | −12.5095 | + | 26.6248i | −0.638372 | + | 1.35869i | ||||
\(385\) | −0.167449 | + | 0.0448678i | −0.00853399 | + | 0.00228667i | ||||
\(386\) | −17.3954 | + | 10.0432i | −0.885400 | + | 0.511186i | ||||
\(387\) | 6.19949 | − | 16.7305i | 0.315138 | − | 0.850457i | ||||
\(388\) | −5.44183 | + | 1.45813i | −0.276267 | + | 0.0740255i | ||||
\(389\) | 12.2562 | − | 21.2284i | 0.621416 | − | 1.07632i | −0.367806 | − | 0.929903i | \(-0.619891\pi\) |
0.989222 | − | 0.146422i | \(-0.0467757\pi\) | |||||||
\(390\) | −0.685920 | + | 1.03021i | −0.0347329 | + | 0.0521667i | ||||
\(391\) | −3.68507 | − | 6.38273i | −0.186362 | − | 0.322789i | ||||
\(392\) | 1.77459 | + | 1.77459i | 0.0896301 | + | 0.0896301i | ||||
\(393\) | −3.81581 | − | 10.5792i | −0.192482 | − | 0.533650i | ||||
\(394\) | − | 8.78141i | − | 0.442401i | ||||||
\(395\) | 1.05633 | + | 1.05633i | 0.0531497 | + | 0.0531497i | ||||
\(396\) | 7.70014 | + | 16.7662i | 0.386947 | + | 0.842531i | ||||
\(397\) | −0.887952 | + | 3.31388i | −0.0445650 | + | 0.166319i | −0.984622 | − | 0.174699i | \(-0.944105\pi\) |
0.940057 | + | 0.341018i | \(0.110772\pi\) | |||||||
\(398\) | 8.54165 | + | 31.8779i | 0.428154 | + | 1.59789i | ||||
\(399\) | 4.12121 | − | 1.48648i | 0.206318 | − | 0.0744170i | ||||
\(400\) | − | 2.73148i | − | 0.136574i | ||||||
\(401\) | −17.5933 | + | 17.5933i | −0.878566 | + | 0.878566i | −0.993386 | − | 0.114820i | \(-0.963371\pi\) |
0.114820 | + | 0.993386i | \(0.463371\pi\) | |||||||
\(402\) | −24.0722 | + | 8.68262i | −1.20061 | + | 0.433050i | ||||
\(403\) | 22.7851 | + | 3.40110i | 1.13500 | + | 0.169421i | ||||
\(404\) | − | 53.2183i | − | 2.64771i | ||||||
\(405\) | 0.651544 | − | 0.445045i | 0.0323755 | − | 0.0221145i | ||||
\(406\) | −9.95465 | + | 17.2420i | −0.494041 | + | 0.855704i | ||||
\(407\) | −15.2315 | −0.754999 | ||||||||
\(408\) | 5.75933 | − | 12.2580i | 0.285129 | − | 0.606862i | ||||
\(409\) | −7.04501 | − | 26.2924i | −0.348354 | − | 1.30007i | −0.888645 | − | 0.458595i | \(-0.848353\pi\) |
0.540292 | − | 0.841478i | \(-0.318314\pi\) | |||||||
\(410\) | −0.371589 | − | 1.38679i | −0.0183515 | − | 0.0684886i | ||||
\(411\) | −11.1408 | − | 16.0093i | −0.549535 | − | 0.789681i | ||||
\(412\) | −54.9180 | −2.70561 | ||||||||
\(413\) | −1.91797 | + | 3.32201i | −0.0943769 | + | 0.163466i | ||||
\(414\) | −9.27728 | + | 13.0871i | −0.455953 | + | 0.643198i | ||||
\(415\) | − | 0.980533i | − | 0.0481325i | ||||||
\(416\) | −20.9858 | + | 8.27083i | −1.02891 | + | 0.405511i | ||||
\(417\) | −15.3717 | − | 12.9745i | −0.752756 | − | 0.635366i | ||||
\(418\) | 7.99485 | − | 7.99485i | 0.391041 | − | 0.391041i | ||||
\(419\) | − | 11.3138i | − | 0.552716i | −0.961055 | − | 0.276358i | \(-0.910873\pi\) | ||
0.961055 | − | 0.276358i | \(-0.0891275\pi\) | |||||||
\(420\) | 0.0833587 | − | 0.464865i | 0.00406749 | − | 0.0226831i | ||||
\(421\) | 8.52615 | + | 31.8200i | 0.415539 | + | 1.55081i | 0.783754 | + | 0.621072i | \(0.213302\pi\) |
−0.368215 | + | 0.929741i | \(0.620031\pi\) | |||||||
\(422\) | 13.9523 | − | 52.0706i | 0.679187 | − | 2.53476i | ||||
\(423\) | 0.0198248 | − | 0.212405i | 0.000963913 | − | 0.0103275i | ||||
\(424\) | −12.8681 | − | 12.8681i | −0.624930 | − | 0.624930i | ||||
\(425\) | 15.5547i | 0.754516i | ||||||||
\(426\) | 33.0889 | − | 39.2024i | 1.60316 | − | 1.89936i | ||||
\(427\) | 3.81474 | + | 3.81474i | 0.184608 | + | 0.184608i | ||||
\(428\) | 3.32755 | + | 5.76348i | 0.160843 | + | 0.278589i | ||||
\(429\) | −3.95012 | + | 11.6998i | −0.190714 | + | 0.564870i | ||||
\(430\) | −0.589341 | + | 1.02077i | −0.0284206 | + | 0.0492258i | ||||
\(431\) | −4.13746 | + | 1.10863i | −0.199295 | + | 0.0534008i | −0.357085 | − | 0.934072i | \(-0.616229\pi\) |
0.157791 | + | 0.987473i | \(0.449563\pi\) | |||||||
\(432\) | 2.84290 | + | 0.0247288i | 0.136779 | + | 0.00118976i | ||||
\(433\) | 1.32891 | − | 0.767247i | 0.0638634 | − | 0.0368716i | −0.467728 | − | 0.883872i | \(-0.654927\pi\) |
0.531592 | + | 0.847001i | \(0.321594\pi\) | |||||||
\(434\) | −13.9517 | + | 3.73833i | −0.669701 | + | 0.179446i | ||||
\(435\) | 1.33261 | − | 0.112696i | 0.0638939 | − | 0.00540337i | ||||
\(436\) | 19.8901 | − | 5.32953i | 0.952562 | − | 0.255238i | ||||
\(437\) | 5.77937 | + | 1.54858i | 0.276465 | + | 0.0740785i | ||||
\(438\) | −16.4847 | − | 45.7033i | −0.787671 | − | 2.18379i | ||||
\(439\) | 0.468303 | − | 0.270375i | 0.0223509 | − | 0.0129043i | −0.488783 | − | 0.872405i | \(-0.662559\pi\) |
0.511134 | + | 0.859501i | \(0.329226\pi\) | |||||||
\(440\) | −0.112602 | − | 0.420237i | −0.00536810 | − | 0.0200340i | ||||
\(441\) | 1.04239 | − | 2.81308i | 0.0496376 | − | 0.133956i | ||||
\(442\) | 23.6264 | − | 9.31156i | 1.12379 | − | 0.442906i | ||||
\(443\) | 1.14873 | + | 0.663219i | 0.0545778 | + | 0.0315105i | 0.527041 | − | 0.849840i | \(-0.323302\pi\) |
−0.472463 | + | 0.881351i | \(0.656635\pi\) | |||||||
\(444\) | 17.6459 | − | 37.5570i | 0.837435 | − | 1.78238i | ||||
\(445\) | 0.440222 | 0.0208685 | ||||||||
\(446\) | 25.1711 | − | 43.5977i | 1.19189 | − | 2.06441i | ||||
\(447\) | 1.68000 | + | 19.8657i | 0.0794612 | + | 0.939616i | ||||
\(448\) | 9.22643 | − | 9.22643i | 0.435908 | − | 0.435908i | ||||
\(449\) | −27.4540 | − | 7.35629i | −1.29564 | − | 0.347165i | −0.455837 | − | 0.890063i | \(-0.650660\pi\) |
−0.839798 | + | 0.542898i | \(0.817327\pi\) | |||||||
\(450\) | 30.7668 | − | 14.1302i | 1.45036 | − | 0.666103i | ||||
\(451\) | −7.16227 | − | 12.4054i | −0.337258 | − | 0.584148i | ||||
\(452\) | −9.70615 | − | 16.8116i | −0.456539 | − | 0.790749i | ||||
\(453\) | −1.04029 | − | 12.3012i | −0.0488770 | − | 0.577962i | ||||
\(454\) | −31.5569 | + | 18.2194i | −1.48104 | + | 0.855078i | ||||
\(455\) | 0.254066 | − | 0.188069i | 0.0119108 | − | 0.00881680i | ||||
\(456\) | 3.73053 | + | 10.3428i | 0.174698 | + | 0.484344i | ||||
\(457\) | 6.14339 | + | 1.64612i | 0.287376 | + | 0.0770020i | 0.399627 | − | 0.916678i | \(-0.369140\pi\) |
−0.112252 | + | 0.993680i | \(0.535806\pi\) | |||||||
\(458\) | 30.7023 | + | 17.7260i | 1.43462 | + | 0.828280i | ||||
\(459\) | −16.1892 | − | 0.140821i | −0.755649 | − | 0.00657297i | ||||
\(460\) | 0.456078 | − | 0.456078i | 0.0212647 | − | 0.0212647i | ||||
\(461\) | 26.3227 | + | 26.3227i | 1.22597 | + | 1.22597i | 0.965475 | + | 0.260497i | \(0.0838864\pi\) |
0.260497 | + | 0.965475i | \(0.416114\pi\) | |||||||
\(462\) | −0.652412 | − | 7.71466i | −0.0303529 | − | 0.358918i | ||||
\(463\) | 6.06685 | − | 22.6418i | 0.281951 | − | 1.05225i | −0.669088 | − | 0.743183i | \(-0.733315\pi\) |
0.951039 | − | 0.309071i | \(-0.100018\pi\) | |||||||
\(464\) | 4.17315 | + | 2.40937i | 0.193734 | + | 0.111852i | ||||
\(465\) | 0.741433 | + | 0.625808i | 0.0343831 | + | 0.0290212i | ||||
\(466\) | 4.32483 | − | 16.1405i | 0.200344 | − | 0.747694i | ||||
\(467\) | −9.06324 | −0.419397 | −0.209698 | − | 0.977766i | \(-0.567248\pi\) | ||||
−0.209698 | + | 0.977766i | \(0.567248\pi\) | |||||||
\(468\) | −24.2723 | − | 23.2942i | −1.12199 | − | 1.07678i | ||||
\(469\) | 6.53575 | 0.301793 | ||||||||
\(470\) | −0.00364749 | + | 0.0136126i | −0.000168246 | + | 0.000627903i | ||||
\(471\) | −22.8076 | + | 8.22648i | −1.05092 | + | 0.379056i | ||||
\(472\) | −8.33707 | − | 4.81341i | −0.383745 | − | 0.221555i | ||||
\(473\) | −3.04374 | + | 11.3594i | −0.139951 | + | 0.522305i | ||||
\(474\) | −54.7626 | + | 38.1090i | −2.51533 | + | 1.75040i | ||||
\(475\) | −8.92912 | − | 8.92912i | −0.409696 | − | 0.409696i | ||||
\(476\) | −6.85222 | + | 6.85222i | −0.314071 | + | 0.314071i | ||||
\(477\) | −7.55871 | + | 20.3985i | −0.346089 | + | 0.933985i | ||||
\(478\) | 20.0995 | + | 11.6044i | 0.919329 | + | 0.530775i | ||||
\(479\) | −40.6315 | − | 10.8872i | −1.85650 | − | 0.497448i | −0.856670 | − | 0.515865i | \(-0.827471\pi\) |
−0.999830 | + | 0.0184174i | \(0.994137\pi\) | |||||||
\(480\) | −0.935076 | − | 0.167676i | −0.0426802 | − | 0.00765333i | ||||
\(481\) | 25.8391 | − | 10.1836i | 1.17816 | − | 0.464332i | ||||
\(482\) | 27.4858 | − | 15.8690i | 1.25195 | − | 0.722811i | ||||
\(483\) | 3.36294 | − | 2.34026i | 0.153019 | − | 0.106485i | ||||
\(484\) | 11.0257 | + | 19.0970i | 0.501167 | + | 0.868047i | ||||
\(485\) | −0.0794032 | − | 0.137530i | −0.00360552 | − | 0.00624494i | ||||
\(486\) | 14.4280 | + | 32.1497i | 0.654468 | + | 1.45834i | ||||
\(487\) | −0.839487 | − | 0.224940i | −0.0380408 | − | 0.0101930i | 0.239748 | − | 0.970835i | \(-0.422935\pi\) |
−0.277789 | + | 0.960642i | \(0.589602\pi\) | |||||||
\(488\) | −9.57364 | + | 9.57364i | −0.433378 | + | 0.433378i | ||||
\(489\) | 0.570130 | + | 0.267871i | 0.0257822 | + | 0.0121136i | ||||
\(490\) | −0.0990926 | + | 0.171633i | −0.00447655 | + | 0.00775361i | ||||
\(491\) | 15.6661 | 0.706999 | 0.353500 | − | 0.935435i | \(-0.384992\pi\) | ||||
0.353500 | + | 0.935435i | \(0.384992\pi\) | |||||||
\(492\) | 38.8861 | − | 3.28851i | 1.75312 | − | 0.148257i | ||||
\(493\) | −23.7645 | − | 13.7205i | −1.07030 | − | 0.617939i | ||||
\(494\) | −8.21737 | + | 18.9079i | −0.369717 | + | 0.850706i | ||||
\(495\) | −0.400327 | + | 0.331977i | −0.0179933 | + | 0.0149213i | ||||
\(496\) | 0.904807 | + | 3.37678i | 0.0406270 | + | 0.151622i | ||||
\(497\) | −11.3467 | + | 6.55103i | −0.508970 | + | 0.293854i | ||||
\(498\) | 43.1038 | + | 7.72929i | 1.93153 | + | 0.346358i | ||||
\(499\) | 11.6828 | + | 3.13040i | 0.522995 | + | 0.140136i | 0.510652 | − | 0.859788i | \(-0.329404\pi\) |
0.0123435 | + | 0.999924i | \(0.496071\pi\) | |||||||
\(500\) | −2.63177 | + | 0.705182i | −0.117697 | + | 0.0315367i | ||||
\(501\) | 9.75516 | + | 14.0181i | 0.435829 | + | 0.626285i | ||||
\(502\) | −25.2042 | + | 6.75344i | −1.12492 | + | 0.301421i | ||||
\(503\) | −24.6430 | + | 14.2276i | −1.09878 | + | 0.634378i | −0.935899 | − | 0.352268i | \(-0.885410\pi\) |
−0.162876 | + | 0.986646i | \(0.552077\pi\) | |||||||
\(504\) | 7.05983 | + | 2.61603i | 0.314470 | + | 0.116527i | ||||
\(505\) | 1.44901 | − | 0.388261i | 0.0644802 | − | 0.0172774i | ||||
\(506\) | 5.28675 | − | 9.15692i | 0.235025 | − | 0.407075i | ||||
\(507\) | −1.12124 | − | 22.4887i | −0.0497961 | − | 0.998759i | ||||
\(508\) | −0.881789 | − | 1.52730i | −0.0391231 | − | 0.0677631i | ||||
\(509\) | −11.4868 | − | 11.4868i | −0.509144 | − | 0.509144i | 0.405120 | − | 0.914264i | \(-0.367230\pi\) |
−0.914264 | + | 0.405120i | \(0.867230\pi\) | |||||||
\(510\) | 1.05274 | + | 0.188775i | 0.0466160 | + | 0.00835909i | ||||
\(511\) | 12.4087i | 0.548929i | ||||||||
\(512\) | −4.36228 | − | 4.36228i | −0.192787 | − | 0.192787i | ||||
\(513\) | 9.37418 | − | 9.21251i | 0.413880 | − | 0.406742i | ||||
\(514\) | −4.52174 | + | 16.8754i | −0.199446 | + | 0.744341i | ||||
\(515\) | −0.400662 | − | 1.49529i | −0.0176553 | − | 0.0658904i | ||||
\(516\) | −24.4831 | − | 20.6650i | −1.07781 | − | 0.909726i | ||||
\(517\) | 0.140609i | 0.00618396i | ||||||||
\(518\) | −12.3129 | + | 12.3129i | −0.540999 | + | 0.540999i | ||||
\(519\) | −1.97098 | + | 10.9916i | −0.0865166 | + | 0.482476i | ||||
\(520\) | 0.471986 | + | 0.637614i | 0.0206979 | + | 0.0279612i | ||||
\(521\) | 8.84438i | 0.387479i | 0.981053 | + | 0.193740i | \(0.0620617\pi\) | ||||
−0.981053 | + | 0.193740i | \(0.937938\pi\) | |||||||
\(522\) | −5.55057 | + | 59.4694i | −0.242942 | + | 2.60291i | ||||
\(523\) | −13.5855 | + | 23.5308i | −0.594054 | + | 1.02893i | 0.399626 | + | 0.916678i | \(0.369140\pi\) |
−0.993680 | + | 0.112253i | \(0.964193\pi\) | |||||||
\(524\) | −20.1946 | −0.882207 | ||||||||
\(525\) | −8.61619 | + | 0.728652i | −0.376041 | + | 0.0318010i | ||||
\(526\) | −4.05556 | − | 15.1355i | −0.176831 | − | 0.659941i | ||||
\(527\) | −5.15253 | − | 19.2295i | −0.224448 | − | 0.837651i | ||||
\(528\) | −1.86722 | + | 0.157906i | −0.0812601 | + | 0.00687199i | ||||
\(529\) | −17.4046 | −0.756722 | ||||||||
\(530\) | 0.718552 | − | 1.24457i | 0.0312119 | − | 0.0540606i | ||||
\(531\) | −1.06943 | + | 11.4580i | −0.0464093 | + | 0.497235i | ||||
\(532\) | − | 7.86696i | − | 0.341076i | ||||||
\(533\) | 20.4443 | + | 16.2562i | 0.885542 | + | 0.704134i | ||||
\(534\) | −3.47016 | + | 19.3520i | −0.150168 | + | 0.837441i | ||||
\(535\) | −0.132650 | + | 0.132650i | −0.00573496 | + | 0.00573496i | ||||
\(536\) | 16.4024i | 0.708476i | ||||||||
\(537\) | 15.9470 | + | 13.4601i | 0.688166 | + | 0.580848i | ||||
\(538\) | 0.202082 | + | 0.754181i | 0.00871238 | + | 0.0325150i | ||||
\(539\) | −0.511778 | + | 1.90998i | −0.0220438 | + | 0.0822687i | ||||
\(540\) | −0.354787 | − | 1.37170i | −0.0152676 | − | 0.0590286i | ||||
\(541\) | −30.1892 | − | 30.1892i | −1.29794 | − | 1.29794i | −0.929753 | − | 0.368183i | \(-0.879980\pi\) |
−0.368183 | − | 0.929753i | \(-0.620020\pi\) | |||||||
\(542\) | − | 31.3266i | − | 1.34559i | ||||||
\(543\) | 16.2464 | + | 2.91327i | 0.697200 | + | 0.125021i | ||||
\(544\) | 13.7832 | + | 13.7832i | 0.590952 | + | 0.590952i | ||||
\(545\) | 0.290222 | + | 0.502679i | 0.0124317 | + | 0.0215324i | ||||
\(546\) | 6.26469 | + | 12.6511i | 0.268104 | + | 0.541418i | ||||
\(547\) | −7.01579 | + | 12.1517i | −0.299973 | + | 0.519569i | −0.976130 | − | 0.217189i | \(-0.930311\pi\) |
0.676156 | + | 0.736758i | \(0.263644\pi\) | |||||||
\(548\) | −33.8297 | + | 9.06463i | −1.44513 | + | 0.387222i | ||||
\(549\) | 15.1762 | + | 5.62355i | 0.647704 | + | 0.240007i | ||||
\(550\) | −19.3257 | + | 11.1577i | −0.824052 | + | 0.475767i | ||||
\(551\) | 21.5181 | − | 5.76575i | 0.916701 | − | 0.245629i | ||||
\(552\) | 5.87321 | + | 8.43978i | 0.249980 | + | 0.359221i | ||||
\(553\) | 16.4591 | − | 4.41019i | 0.699911 | − | 0.187541i | ||||
\(554\) | 67.3320 | + | 18.0415i | 2.86066 | + | 0.766512i | ||||
\(555\) | 1.15133 | + | 0.206454i | 0.0488712 | + | 0.00876348i | ||||
\(556\) | −31.2812 | + | 18.0602i | −1.32662 | + | 0.765924i | ||||
\(557\) | 2.94048 | + | 10.9740i | 0.124592 | + | 0.464984i | 0.999825 | − | 0.0187180i | \(-0.00595846\pi\) |
−0.875233 | + | 0.483702i | \(0.839292\pi\) | |||||||
\(558\) | −33.3548 | + | 27.6600i | −1.41202 | + | 1.17094i | ||||
\(559\) | −2.43128 | − | 21.3053i | −0.102832 | − | 0.901118i | ||||
\(560\) | 0.0415412 | + | 0.0239838i | 0.00175544 | + | 0.00101350i | ||||
\(561\) | 10.6331 | − | 0.899217i | 0.448929 | − | 0.0379650i | ||||
\(562\) | 0.548122 | 0.0231211 | ||||||||
\(563\) | −5.58335 | + | 9.67065i | −0.235310 | + | 0.407569i | −0.959363 | − | 0.282176i | \(-0.908944\pi\) |
0.724053 | + | 0.689745i | \(0.242277\pi\) | |||||||
\(564\) | −0.346704 | − | 0.162896i | −0.0145989 | − | 0.00685917i | ||||
\(565\) | 0.386927 | − | 0.386927i | 0.0162782 | − | 0.0162782i | ||||
\(566\) | −25.8366 | − | 6.92290i | −1.08599 | − | 0.290991i | ||||
\(567\) | −0.680370 | − | 8.97425i | −0.0285728 | − | 0.376883i | ||||
\(568\) | −16.4408 | − | 28.4762i | −0.689839 | − | 1.19484i | ||||
\(569\) | 9.15646 | + | 15.8595i | 0.383859 | + | 0.664863i | 0.991610 | − | 0.129264i | \(-0.0412616\pi\) |
−0.607751 | + | 0.794127i | \(0.707928\pi\) | |||||||
\(570\) | −0.712684 | + | 0.495953i | −0.0298510 | + | 0.0207732i | ||||
\(571\) | 13.8623 | − | 8.00340i | 0.580119 | − | 0.334932i | −0.181062 | − | 0.983472i | \(-0.557953\pi\) |
0.761181 | + | 0.648540i | \(0.224620\pi\) | |||||||
\(572\) | 17.3560 | + | 13.8005i | 0.725689 | + | 0.577028i | ||||
\(573\) | 41.2551 | + | 7.39779i | 1.72346 | + | 0.309047i | ||||
\(574\) | −15.8182 | − | 4.23847i | −0.660239 | − | 0.176910i | ||||
\(575\) | −10.2270 | − | 5.90455i | −0.426495 | − | 0.246237i | ||||
\(576\) | 13.6013 | − | 36.7055i | 0.566719 | − | 1.52940i | ||||
\(577\) | −16.9330 | + | 16.9330i | −0.704931 | + | 0.704931i | −0.965465 | − | 0.260534i | \(-0.916101\pi\) |
0.260534 | + | 0.965465i | \(0.416101\pi\) | |||||||
\(578\) | 11.6563 | + | 11.6563i | 0.484838 | + | 0.484838i | ||||
\(579\) | 12.6325 | − | 8.79088i | 0.524988 | − | 0.365337i | ||||
\(580\) | 0.621546 | − | 2.31964i | 0.0258083 | − | 0.0963178i | ||||
\(581\) | −9.68589 | − | 5.59215i | −0.401839 | − | 0.232002i | ||||
\(582\) | 6.67169 | − | 2.40641i | 0.276551 | − | 0.0997491i | ||||
\(583\) | 3.71107 | − | 13.8499i | 0.153697 | − | 0.573604i | ||||
\(584\) | −31.1414 | −1.28864 | ||||||||
\(585\) | 0.457167 | − | 0.830826i | 0.0189015 | − | 0.0343504i | ||||
\(586\) | −3.98302 | −0.164537 | ||||||||
\(587\) | 9.77558 | − | 36.4830i | 0.403481 | − | 1.50581i | −0.403358 | − | 0.915042i | \(-0.632157\pi\) |
0.806839 | − | 0.590771i | \(-0.201176\pi\) | |||||||
\(588\) | −4.11662 | − | 3.47464i | −0.169766 | − | 0.143292i | ||||
\(589\) | 13.9964 | + | 8.08082i | 0.576711 | + | 0.332964i | ||||
\(590\) | 0.196761 | − | 0.734321i | 0.00810051 | − | 0.0302315i | ||||
\(591\) | 0.566975 | + | 6.70439i | 0.0233223 | + | 0.275782i | ||||
\(592\) | 2.98015 | + | 2.98015i | 0.122484 | + | 0.122484i | ||||
\(593\) | 23.4781 | − | 23.4781i | 0.964130 | − | 0.964130i | −0.0352488 | − | 0.999379i | \(-0.511222\pi\) |
0.999379 | + | 0.0352488i | \(0.0112224\pi\) | |||||||
\(594\) | −11.4379 | − | 20.2151i | −0.469303 | − | 0.829434i | ||||
\(595\) | −0.236562 | − | 0.136579i | −0.00969809 | − | 0.00559919i | ||||
\(596\) | 34.5796 | + | 9.26558i | 1.41644 | + | 0.379533i | ||||
\(597\) | −8.57955 | − | 23.7865i | −0.351137 | − | 0.973515i | ||||
\(598\) | −2.84636 | + | 19.0686i | −0.116396 | + | 0.779775i | ||||
\(599\) | 15.9023 | − | 9.18118i | 0.649749 | − | 0.375133i | −0.138611 | − | 0.990347i | \(-0.544264\pi\) |
0.788360 | + | 0.615214i | \(0.210930\pi\) | |||||||
\(600\) | −1.82866 | − | 21.6235i | −0.0746546 | − | 0.882778i | ||||
\(601\) | −6.40795 | − | 11.0989i | −0.261386 | − | 0.452733i | 0.705225 | − | 0.708984i | \(-0.250846\pi\) |
−0.966610 | + | 0.256250i | \(0.917513\pi\) | |||||||
\(602\) | 6.72224 | + | 11.6433i | 0.273978 | + | 0.474544i | ||||
\(603\) | 17.8180 | − | 8.18320i | 0.725603 | − | 0.333246i | ||||
\(604\) | −21.4124 | − | 5.73743i | −0.871257 | − | 0.233453i | ||||
\(605\) | −0.439529 | + | 0.439529i | −0.0178694 | + | 0.0178694i | ||||
\(606\) | 5.64562 | + | 66.7585i | 0.229337 | + | 2.71188i | ||||
\(607\) | −19.6339 | + | 34.0070i | −0.796917 | + | 1.38030i | 0.124698 | + | 0.992195i | \(0.460204\pi\) |
−0.921615 | + | 0.388106i | \(0.873129\pi\) | |||||||
\(608\) | −15.8244 | −0.641764 | ||||||||
\(609\) | 6.48690 | − | 13.8065i | 0.262862 | − | 0.559469i | ||||
\(610\) | −0.925938 | − | 0.534591i | −0.0374902 | − | 0.0216449i | ||||
\(611\) | −0.0940090 | − | 0.238531i | −0.00380320 | − | 0.00964994i | ||||
\(612\) | −10.1013 | + | 27.2602i | −0.408321 | + | 1.10193i | ||||
\(613\) | −3.79080 | − | 14.1475i | −0.153109 | − | 0.571411i | −0.999260 | − | 0.0384671i | \(-0.987753\pi\) |
0.846151 | − | 0.532943i | \(-0.178914\pi\) | |||||||
\(614\) | −49.5202 | + | 28.5905i | −1.99847 | + | 1.15382i | ||||
\(615\) | 0.373237 | + | 1.03479i | 0.0150504 | + | 0.0417266i | ||||
\(616\) | −4.79337 | − | 1.28438i | −0.193130 | − | 0.0517492i | ||||
\(617\) | −31.9546 | + | 8.56220i | −1.28644 | + | 0.344701i | −0.836308 | − | 0.548259i | \(-0.815291\pi\) |
−0.450135 | + | 0.892961i | \(0.648624\pi\) | |||||||
\(618\) | 68.8906 | − | 5.82593i | 2.77119 | − | 0.234353i | ||||
\(619\) | −10.8960 | + | 2.91956i | −0.437945 | + | 0.117347i | −0.471054 | − | 0.882105i | \(-0.656126\pi\) |
0.0331080 | + | 0.999452i | \(0.489459\pi\) | |||||||
\(620\) | 1.50880 | − | 0.871109i | 0.0605951 | − | 0.0349846i | ||||
\(621\) | 6.23800 | − | 10.5907i | 0.250322 | − | 0.424990i | ||||
\(622\) | 3.95479 | − | 1.05968i | 0.158573 | − | 0.0424894i | ||||
\(623\) | 2.51067 | − | 4.34860i | 0.100588 | − | 0.174223i | ||||
\(624\) | 3.06201 | − | 1.51627i | 0.122578 | − | 0.0606994i | ||||
\(625\) | 12.4424 | + | 21.5508i | 0.497695 | + | 0.862034i | ||||
\(626\) | 19.1962 | + | 19.1962i | 0.767236 | + | 0.767236i | ||||
\(627\) | −5.58768 | + | 6.62006i | −0.223150 | + | 0.264380i | ||||
\(628\) | 43.5374i | 1.73733i | ||||||||
\(629\) | −16.9709 | − | 16.9709i | −0.676672 | − | 0.676672i | ||||
\(630\) | −0.0552526 | + | 0.591983i | −0.00220132 | + | 0.0235852i | ||||
\(631\) | −8.42144 | + | 31.4292i | −0.335252 | + | 1.25118i | 0.568343 | + | 0.822792i | \(0.307585\pi\) |
−0.903595 | + | 0.428387i | \(0.859082\pi\) | |||||||
\(632\) | 11.0680 | + | 41.3064i | 0.440262 | + | 1.64308i | ||||
\(633\) | −7.29026 | + | 40.6555i | −0.289762 | + | 1.61591i | ||||
\(634\) | 67.9052i | 2.69686i | ||||||||
\(635\) | 0.0351518 | − | 0.0351518i | 0.00139496 | − | 0.00139496i | ||||
\(636\) | 29.8509 | + | 25.1957i | 1.18367 | + | 0.999076i | ||||
\(637\) | −0.408798 | − | 3.58230i | −0.0161972 | − | 0.141936i | ||||
\(638\) | − | 39.3678i | − | 1.55859i | ||||||
\(639\) | −22.7314 | + | 32.0665i | −0.899242 | + | 1.26853i | ||||
\(640\) | −0.744497 | + | 1.28951i | −0.0294288 | + | 0.0509722i | ||||
\(641\) | −38.7291 | −1.52971 | −0.764853 | − | 0.644205i | \(-0.777189\pi\) | ||||
−0.764853 | + | 0.644205i | \(0.777189\pi\) | |||||||
\(642\) | −4.78559 | − | 6.87688i | −0.188872 | − | 0.271409i | ||||
\(643\) | 4.85286 | + | 18.1111i | 0.191378 | + | 0.714234i | 0.993175 | + | 0.116636i | \(0.0372112\pi\) |
−0.801796 | + | 0.597597i | \(0.796122\pi\) | |||||||
\(644\) | −1.90413 | − | 7.10632i | −0.0750333 | − | 0.280028i | ||||
\(645\) | 0.384041 | − | 0.817383i | 0.0151216 | − | 0.0321844i | ||||
\(646\) | 17.8156 | 0.700946 | ||||||||
\(647\) | 23.4153 | − | 40.5564i | 0.920549 | − | 1.59444i | 0.121982 | − | 0.992532i | \(-0.461075\pi\) |
0.798567 | − | 0.601906i | \(-0.205592\pi\) | |||||||
\(648\) | 22.5222 | − | 1.70748i | 0.884754 | − | 0.0670763i | ||||
\(649\) | − | 7.58501i | − | 0.297738i | ||||||
\(650\) | 25.3247 | − | 31.8491i | 0.993316 | − | 1.24923i | ||||
\(651\) | 10.4104 | − | 3.75492i | 0.408015 | − | 0.147167i | ||||
\(652\) | 0.799830 | − | 0.799830i | 0.0313238 | − | 0.0313238i | ||||
\(653\) | 3.05664i | 0.119616i | 0.998210 | + | 0.0598078i | \(0.0190488\pi\) | ||||
−0.998210 | + | 0.0598078i | \(0.980951\pi\) | |||||||
\(654\) | −24.3853 | + | 8.79554i | −0.953541 | + | 0.343933i | ||||
\(655\) | −0.147333 | − | 0.549854i | −0.00575677 | − | 0.0214846i | ||||
\(656\) | −1.02586 | + | 3.82855i | −0.0400530 | + | 0.149480i | ||||
\(657\) | 15.5365 | + | 33.8290i | 0.606138 | + | 1.31979i | ||||
\(658\) | 0.113666 | + | 0.113666i | 0.00443115 | + | 0.00443115i | ||||
\(659\) | 38.9037i | 1.51547i | 0.652560 | + | 0.757737i | \(0.273695\pi\) | ||||
−0.652560 | + | 0.757737i | \(0.726305\pi\) | |||||||
\(660\) | 0.316855 | + | 0.878470i | 0.0123336 | + | 0.0341944i | ||||
\(661\) | 3.27339 | + | 3.27339i | 0.127320 | + | 0.127320i | 0.767895 | − | 0.640575i | \(-0.221304\pi\) |
−0.640575 | + | 0.767895i | \(0.721304\pi\) | |||||||
\(662\) | −11.6657 | − | 20.2055i | −0.453399 | − | 0.785310i | ||||
\(663\) | −17.4370 | + | 8.63460i | −0.677197 | + | 0.335340i | ||||
\(664\) | 14.0343 | − | 24.3081i | 0.544637 | − | 0.943338i | ||||
\(665\) | 0.214199 | − | 0.0573946i | 0.00830630 | − | 0.00222567i | ||||
\(666\) | −18.1512 | + | 48.9845i | −0.703347 | + | 1.89811i | ||||
\(667\) | 18.0420 | − | 10.4165i | 0.698588 | − | 0.403330i | ||||
\(668\) | 29.6221 | − | 7.93722i | 1.14611 | − | 0.307100i | ||||
\(669\) | −16.4026 | + | 34.9110i | −0.634163 | + | 1.34974i | ||||
\(670\) | −1.25115 | + | 0.335245i | −0.0483363 | + | 0.0129517i | ||||
\(671\) | −10.3041 | − | 2.76097i | −0.397785 | − | 0.106586i | ||||
\(672\) | −6.98924 | + | 8.28057i | −0.269616 | + | 0.319430i | ||||
\(673\) | −11.9301 | + | 6.88784i | −0.459871 | + | 0.265507i | −0.711990 | − | 0.702190i | \(-0.752206\pi\) |
0.252119 | + | 0.967696i | \(0.418873\pi\) | |||||||
\(674\) | −8.69017 | − | 32.4322i | −0.334733 | − | 1.24924i | ||||
\(675\) | −22.5774 | + | 12.7745i | −0.869004 | + | 0.491691i | ||||
\(676\) | −38.6699 | − | 11.8075i | −1.48730 | − | 0.454135i | ||||
\(677\) | −16.1061 | − | 9.29888i | −0.619009 | − | 0.357385i | 0.157474 | − | 0.987523i | \(-0.449665\pi\) |
−0.776483 | + | 0.630138i | \(0.782998\pi\) | |||||||
\(678\) | 13.9591 | + | 20.0592i | 0.536096 | + | 0.770369i | ||||
\(679\) | −1.81140 | −0.0695153 | ||||||||
\(680\) | 0.342764 | − | 0.593686i | 0.0131444 | − | 0.0227668i | ||||
\(681\) | 22.9166 | − | 15.9475i | 0.878165 | − | 0.611111i | ||||
\(682\) | 20.1954 | − | 20.1954i | 0.773322 | − | 0.773322i | ||||
\(683\) | −14.9180 | − | 3.99726i | −0.570820 | − | 0.152951i | −0.0381474 | − | 0.999272i | \(-0.512146\pi\) |
−0.532673 | + | 0.846321i | \(0.678812\pi\) | |||||||
\(684\) | −9.84997 | − | 21.4472i | −0.376623 | − | 0.820052i | ||||
\(685\) | −0.493618 | − | 0.854972i | −0.0188602 | − | 0.0326668i | ||||
\(686\) | 1.13029 | + | 1.95771i | 0.0431545 | + | 0.0747458i | ||||
\(687\) | −24.5849 | − | 11.5510i | −0.937973 | − | 0.440699i | ||||
\(688\) | 2.81807 | − | 1.62701i | 0.107438 | − | 0.0620293i | ||||
\(689\) | 2.96433 | + | 25.9764i | 0.112932 | + | 0.989623i | ||||
\(690\) | −0.523734 | + | 0.620499i | −0.0199382 | + | 0.0236220i | ||||
\(691\) | −38.7792 | − | 10.3909i | −1.47523 | − | 0.395287i | −0.570510 | − | 0.821291i | \(-0.693254\pi\) |
−0.904721 | + | 0.426004i | \(0.859921\pi\) | |||||||
\(692\) | 17.3655 | + | 10.0260i | 0.660137 | + | 0.381130i | ||||
\(693\) | 0.996201 | + | 5.84783i | 0.0378425 | + | 0.222141i | ||||
\(694\) | −44.2326 | + | 44.2326i | −1.67905 | + | 1.67905i | ||||
\(695\) | −0.719956 | − | 0.719956i | −0.0273095 | − | 0.0273095i | ||||
\(696\) | 34.6495 | + | 16.2798i | 1.31339 | + | 0.617084i | ||||
\(697\) | 5.84187 | − | 21.8022i | 0.221277 | − | 0.825816i | ||||
\(698\) | 7.04819 | + | 4.06927i | 0.266778 | + | 0.154024i | ||||
\(699\) | −2.25978 | + | 12.6021i | −0.0854729 | + | 0.476655i | ||||
\(700\) | −4.01868 | + | 14.9979i | −0.151892 | + | 0.566868i | ||||
\(701\) | −38.7123 | −1.46214 | −0.731071 | − | 0.682302i | \(-0.760979\pi\) | ||||
−0.731071 | + | 0.682302i | \(0.760979\pi\) | |||||||
\(702\) | 32.9190 | + | 26.6460i | 1.24245 | + | 1.00569i | ||||
\(703\) | 19.4841 | 0.734855 | ||||||||
\(704\) | −6.67775 | + | 24.9217i | −0.251677 | + | 0.939273i | ||||
\(705\) | 0.00190586 | − | 0.0106284i | 7.17789e−5 | − | 0.000400288i | ||||
\(706\) | 40.7823 | + | 23.5457i | 1.53486 | + | 0.886154i | ||||
\(707\) | 4.42865 | − | 16.5279i | 0.166556 | − | 0.621597i | ||||
\(708\) | 18.7027 | + | 8.78730i | 0.702889 | + | 0.330247i | ||||
\(709\) | −17.7853 | − | 17.7853i | −0.667942 | − | 0.667942i | 0.289297 | − | 0.957239i | \(-0.406578\pi\) |
−0.957239 | + | 0.289297i | \(0.906578\pi\) | |||||||
\(710\) | 1.83610 | − | 1.83610i | 0.0689076 | − | 0.0689076i | ||||
\(711\) | 39.3493 | − | 32.6311i | 1.47572 | − | 1.22376i | ||||
\(712\) | 10.9134 | + | 6.30087i | 0.408998 | + | 0.236135i | ||||
\(713\) | 14.5990 | + | 3.91179i | 0.546736 | + | 0.146498i | ||||
\(714\) | 7.86871 | − | 9.32253i | 0.294479 | − | 0.348887i | ||||
\(715\) | −0.249133 | + | 0.573247i | −0.00931706 | + | 0.0214382i | ||||
\(716\) | 32.4520 | − | 18.7362i | 1.21279 | − | 0.700204i | ||||
\(717\) | −16.0947 | − | 7.56197i | −0.601068 | − | 0.282407i | ||||
\(718\) | −15.9350 | − | 27.6003i | −0.594691 | − | 1.03003i | ||||
\(719\) | 18.9210 | + | 32.7721i | 0.705634 | + | 1.22219i | 0.966462 | + | 0.256809i | \(0.0826711\pi\) |
−0.260828 | + | 0.965385i | \(0.583996\pi\) | |||||||
\(720\) | 0.143280 | + | 0.0133731i | 0.00533974 | + | 0.000498384i | ||||
\(721\) | −17.0558 | − | 4.57009i | −0.635192 | − | 0.170199i | ||||
\(722\) | 20.1439 | − | 20.1439i | 0.749678 | − | 0.749678i | ||||
\(723\) | −19.9602 | + | 13.8902i | −0.742327 | + | 0.516582i | ||||
\(724\) | 14.8192 | − | 25.6676i | 0.550751 | − | 0.953929i | ||||
\(725\) | −43.9683 | −1.63294 | ||||||||
\(726\) | −15.8568 | − | 22.7862i | −0.588501 | − | 0.845675i | ||||
\(727\) | −34.0851 | − | 19.6790i | −1.26414 | − | 0.729854i | −0.290271 | − | 0.956945i | \(-0.593745\pi\) |
−0.973874 | + | 0.227090i | \(0.927079\pi\) | |||||||
\(728\) | 8.99030 | − | 1.02594i | 0.333203 | − | 0.0380238i | ||||
\(729\) | −13.0912 | − | 23.6140i | −0.484859 | − | 0.874592i | ||||
\(730\) | −0.636494 | − | 2.37543i | −0.0235577 | − | 0.0879185i | ||||
\(731\) | −16.0479 | + | 9.26524i | −0.593551 | + | 0.342687i | ||||
\(732\) | 18.7452 | − | 22.2086i | 0.692843 | − | 0.820853i | ||||
\(733\) | 29.3171 | + | 7.85548i | 1.08285 | + | 0.290149i | 0.755763 | − | 0.654845i | \(-0.227266\pi\) |
0.327087 | + | 0.944994i | \(0.393933\pi\) | |||||||
\(734\) | 32.4756 | − | 8.70182i | 1.19870 | − | 0.321190i | ||||
\(735\) | 0.0645732 | − | 0.137436i | 0.00238182 | − | 0.00506940i | ||||
\(736\) | −14.2944 | + | 3.83016i | −0.526897 | + | 0.141182i | ||||
\(737\) | −11.1921 | + | 6.46176i | −0.412266 | + | 0.238022i | ||||
\(738\) | −48.4309 | + | 8.25039i | −1.78277 | + | 0.303701i | ||||
\(739\) | −31.5833 | + | 8.46272i | −1.16181 | + | 0.311306i | −0.787689 | − | 0.616073i | \(-0.788723\pi\) |
−0.374122 | + | 0.927380i | \(0.622056\pi\) | |||||||
\(740\) | 1.05019 | − | 1.81898i | 0.0386056 | − | 0.0668669i | ||||
\(741\) | 5.05297 | − | 14.9663i | 0.185625 | − | 0.549799i | ||||
\(742\) | −8.19606 | − | 14.1960i | −0.300887 | − | 0.521151i | ||||
\(743\) | −13.7383 | − | 13.7383i | −0.504009 | − | 0.504009i | 0.408672 | − | 0.912681i | \(-0.365992\pi\) |
−0.912681 | + | 0.408672i | \(0.865992\pi\) | |||||||
\(744\) | 9.42351 | + | 26.1263i | 0.345483 | + | 0.957838i | ||||
\(745\) | 1.00912i | 0.0369714i | ||||||||
\(746\) | 37.0870 | + | 37.0870i | 1.35785 | + | 1.35785i | ||||
\(747\) | −33.4077 | − | 3.11811i | −1.22232 | − | 0.114086i | ||||
\(748\) | 4.95939 | − | 18.5087i | 0.181333 | − | 0.676745i | ||||
\(749\) | 0.553815 | + | 2.06687i | 0.0202360 | + | 0.0755217i | ||||
\(750\) | 3.22656 | − | 1.16379i | 0.117817 | − | 0.0424956i | ||||
\(751\) | 34.1075i | 1.24460i | 0.782779 | + | 0.622299i | \(0.213801\pi\) | ||||
−0.782779 | + | 0.622299i | \(0.786199\pi\) | |||||||
\(752\) | 0.0275110 | − | 0.0275110i | 0.00100322 | − | 0.00100322i | ||||
\(753\) | 18.8067 | − | 6.78341i | 0.685356 | − | 0.247201i | ||||
\(754\) | 26.3208 | + | 66.7844i | 0.958548 | + | 2.43215i | ||||
\(755\) | − | 0.624868i | − | 0.0227413i | ||||||
\(756\) | −15.5733 | − | 4.31839i | −0.566397 | − | 0.157058i | ||||
\(757\) | −4.67131 | + | 8.09095i | −0.169782 | + | 0.294071i | −0.938343 | − | 0.345706i | \(-0.887640\pi\) |
0.768561 | + | 0.639776i | \(0.220973\pi\) | |||||||
\(758\) | −42.5796 | −1.54656 | ||||||||
\(759\) | −3.44508 | + | 7.33243i | −0.125049 | + | 0.266150i | ||||
\(760\) | 0.144040 | + | 0.537564i | 0.00522488 | + | 0.0194995i | ||||
\(761\) | −6.06026 | − | 22.6172i | −0.219684 | − | 0.819873i | −0.984465 | − | 0.175582i | \(-0.943819\pi\) |
0.764781 | − | 0.644291i | \(-0.222847\pi\) | |||||||
\(762\) | 1.26816 | + | 1.82235i | 0.0459407 | + | 0.0660167i | ||||
\(763\) | 6.62075 | 0.239687 | ||||||||
\(764\) | 37.6310 | − | 65.1788i | 1.36144 | − | 2.35809i | ||||
\(765\) | −0.815928 | − | 0.0761545i | −0.0294999 | − | 0.00275337i | ||||
\(766\) | 39.2701i | 1.41889i | ||||||||
\(767\) | 5.07124 | + | 12.8674i | 0.183112 | + | 0.464614i | ||||
\(768\) | −16.2766 | − | 13.7383i | −0.587330 | − | 0.495738i | ||||
\(769\) | 27.4212 | − | 27.4212i | 0.988835 | − | 0.988835i | −0.0111038 | − | 0.999938i | \(-0.503535\pi\) |
0.999938 | + | 0.0111038i | \(0.00353452\pi\) | |||||||
\(770\) | − | 0.391883i | − | 0.0141225i | ||||||
\(771\) | 2.36267 | − | 13.1759i | 0.0850896 | − | 0.474518i | ||||
\(772\) | −7.15264 | − | 26.6940i | −0.257429 | − | 0.960739i | ||||
\(773\) | 6.03203 | − | 22.5119i | 0.216957 | − | 0.809695i | −0.768511 | − | 0.639836i | \(-0.779002\pi\) |
0.985468 | − | 0.169859i | \(-0.0543312\pi\) | |||||||
\(774\) | 32.9045 | + | 23.3255i | 1.18273 | + | 0.838418i | ||||
\(775\) | −22.5554 | − | 22.5554i | −0.810214 | − | 0.810214i | ||||
\(776\) | − | 4.54598i | − | 0.163191i | ||||||
\(777\) | 8.60562 | − | 10.1956i | 0.308725 | − | 0.365765i | ||||
\(778\) | 39.1824 | + | 39.1824i | 1.40476 | + | 1.40476i | ||||
\(779\) | 9.16192 | + | 15.8689i | 0.328260 | + | 0.568563i | ||||
\(780\) | −1.12485 | − | 1.27841i | −0.0402762 | − | 0.0457744i | ||||
\(781\) | 12.9537 | − | 22.4365i | 0.463521 | − | 0.802843i | ||||
\(782\) | 16.0930 | − | 4.31212i | 0.575486 | − | 0.154201i | ||||
\(783\) | 0.398057 | − | 45.7618i | 0.0142254 | − | 1.63539i | ||||
\(784\) | 0.473834 | − | 0.273568i | 0.0169227 | − | 0.00977030i | ||||
\(785\) | −1.18543 | + | 0.317634i | −0.0423096 | + | 0.0113368i | ||||
\(786\) | 25.3327 | − | 2.14233i | 0.903588 | − | 0.0764144i | ||||
\(787\) | 8.43826 | − | 2.26103i | 0.300792 | − | 0.0805969i | −0.105267 | − | 0.994444i | \(-0.533570\pi\) |
0.406058 | + | 0.913847i | \(0.366903\pi\) | |||||||
\(788\) | 11.6701 | + | 3.12700i | 0.415731 | + | 0.111395i | ||||
\(789\) | 4.07355 | + | 11.2938i | 0.145022 | + | 0.402069i | ||||
\(790\) | −2.92458 | + | 1.68851i | −0.104052 | + | 0.0600744i | ||||
\(791\) | −1.61543 | − | 6.02886i | −0.0574380 | − | 0.214362i | ||||
\(792\) | −14.6760 | + | 2.50011i | −0.521488 | + | 0.0888375i | ||||
\(793\) | 19.3260 | − | 2.20541i | 0.686287 | − | 0.0783164i | ||||
\(794\) | −6.71648 | − | 3.87776i | −0.238359 | − | 0.137617i | ||||
\(795\) | −0.468241 | + | 0.996591i | −0.0166068 | + | 0.0353455i | ||||
\(796\) | −45.4060 | −1.60937 | ||||||||
\(797\) | −0.864344 | + | 1.49709i | −0.0306166 | + | 0.0530296i | −0.880928 | − | 0.473251i | \(-0.843080\pi\) |
0.850311 | + | 0.526280i | \(0.176414\pi\) | |||||||
\(798\) | 0.834561 | + | 9.86854i | 0.0295431 | + | 0.349342i | ||||
\(799\) | −0.156665 | + | 0.156665i | −0.00554241 | + | 0.00554241i | ||||
\(800\) | 30.1683 | + | 8.08358i | 1.06661 | + | 0.285798i | ||||
\(801\) | 1.39991 | − | 14.9988i | 0.0494634 | − | 0.529957i | ||||
\(802\) | −28.1222 | − | 48.7091i | −0.993031 | − | 1.71998i | ||||
\(803\) | −12.2682 | − | 21.2492i | −0.432937 | − | 0.749868i | ||||
\(804\) | −2.96688 | − | 35.0828i | −0.104634 | − | 1.23728i | ||||
\(805\) | 0.179597 | − | 0.103690i | 0.00632996 | − | 0.00365460i | ||||
\(806\) | −20.7575 | + | 47.7623i | −0.731152 | + | 1.68235i | ||||
\(807\) | −0.202979 | − | 0.562751i | −0.00714519 | − | 0.0198098i | ||||
\(808\) | 41.4792 | + | 11.1143i | 1.45923 | + | 0.391001i | ||||
\(809\) | 11.5815 | + | 6.68658i | 0.407184 | + | 0.235088i | 0.689579 | − | 0.724211i | \(-0.257796\pi\) |
−0.282395 | + | 0.959298i | \(0.591129\pi\) | |||||||
\(810\) | 0.590571 | + | 1.68306i | 0.0207505 | + | 0.0591367i | ||||
\(811\) | −19.7534 | + | 19.7534i | −0.693634 | + | 0.693634i | −0.963030 | − | 0.269396i | \(-0.913176\pi\) |
0.269396 | + | 0.963030i | \(0.413176\pi\) | |||||||
\(812\) | −19.3691 | − | 19.3691i | −0.679721 | − | 0.679721i | ||||
\(813\) | 2.02262 | + | 23.9171i | 0.0709363 | + | 0.838810i | ||||
\(814\) | 8.91164 | − | 33.2587i | 0.312353 | − | 1.16572i | ||||
\(815\) | 0.0276128 | + | 0.0159423i | 0.000967235 | + | 0.000558433i | ||||
\(816\) | −2.25638 | − | 1.90450i | −0.0789890 | − | 0.0666708i | ||||
\(817\) | 3.89353 | − | 14.5308i | 0.136217 | − | 0.508370i | ||||
\(818\) | 61.5324 | 2.15143 | ||||||||
\(819\) | −5.59976 | − | 9.25433i | −0.195671 | − | 0.323373i | ||||
\(820\) | 1.97530 | 0.0689806 | ||||||||
\(821\) | −0.468800 | + | 1.74959i | −0.0163612 | + | 0.0610610i | −0.973624 | − | 0.228159i | \(-0.926729\pi\) |
0.957263 | + | 0.289220i | \(0.0933960\pi\) | |||||||
\(822\) | 41.4753 | − | 14.9597i | 1.44662 | − | 0.521780i | ||||
\(823\) | −36.2557 | − | 20.9323i | −1.26380 | − | 0.729652i | −0.289989 | − | 0.957030i | \(-0.593651\pi\) |
−0.973807 | + | 0.227378i | \(0.926985\pi\) | |||||||
\(824\) | 11.4693 | − | 42.8040i | 0.399552 | − | 1.49115i | ||||
\(825\) | 14.0343 | − | 9.76642i | 0.488612 | − | 0.340023i | ||||
\(826\) | −6.13160 | − | 6.13160i | −0.213346 | − | 0.213346i | ||||
\(827\) | 6.73892 | − | 6.73892i | 0.234335 | − | 0.234335i | −0.580164 | − | 0.814499i | \(-0.697012\pi\) |
0.814499 | + | 0.580164i | \(0.197012\pi\) | |||||||
\(828\) | −14.0887 | − | 16.9894i | −0.489616 | − | 0.590421i | ||||
\(829\) | −1.79323 | − | 1.03532i | −0.0622813 | − | 0.0359581i | 0.468536 | − | 0.883444i | \(-0.344782\pi\) |
−0.530817 | + | 0.847486i | \(0.678115\pi\) | |||||||
\(830\) | 2.14104 | + | 0.573689i | 0.0743165 | + | 0.0199130i | ||||
\(831\) | −52.5712 | − | 9.42696i | −1.82367 | − | 0.327018i | ||||
\(832\) | −5.33406 | − | 46.7424i | −0.184925 | − | 1.62050i | ||||
\(833\) | −2.69831 | + | 1.55787i | −0.0934908 | + | 0.0539770i | ||||
\(834\) | 37.3241 | − | 25.9737i | 1.29243 | − | 0.899396i | ||||
\(835\) | 0.432225 | + | 0.748635i | 0.0149578 | + | 0.0259076i | ||||
\(836\) | 7.77791 | + | 13.4717i | 0.269004 | + | 0.465929i | ||||
\(837\) | 23.6797 | − | 23.2713i | 0.818489 | − | 0.804373i | ||||
\(838\) | 24.7042 | + | 6.61947i | 0.853392 | + | 0.228666i | ||||
\(839\) | −8.20551 | + | 8.20551i | −0.283286 | + | 0.283286i | −0.834418 | − | 0.551132i | \(-0.814196\pi\) |
0.551132 | + | 0.834418i | \(0.314196\pi\) | |||||||
\(840\) | 0.344915 | + | 0.162056i | 0.0119007 | + | 0.00559145i | ||||
\(841\) | 24.2834 | − | 42.0601i | 0.837359 | − | 1.45035i | ||||
\(842\) | −74.4689 | −2.56637 | ||||||||
\(843\) | −0.418477 | + | 0.0353897i | −0.0144131 | + | 0.00121889i | ||||
\(844\) | 64.2314 | + | 37.0840i | 2.21094 | + | 1.27648i | ||||
\(845\) | 0.0393697 | − | 1.13904i | 0.00135436 | − | 0.0391840i | ||||
\(846\) | 0.452196 | + | 0.167562i | 0.0155468 | + | 0.00576089i | ||||
\(847\) | 1.83504 | + | 6.84846i | 0.0630527 | + | 0.235316i | ||||
\(848\) | −3.43592 | + | 1.98373i | −0.117990 | + | 0.0681216i | ||||
\(849\) | 20.1726 | + | 3.61731i | 0.692322 | + | 0.124146i | ||||
\(850\) | −33.9645 | − | 9.10075i | −1.16497 | − | 0.312153i | ||||
\(851\) | 17.6002 | − | 4.71595i | 0.603326 | − | 0.161661i | ||||
\(852\) | 40.3156 | + | 57.9335i | 1.38119 | + | 1.98477i | ||||
\(853\) | −34.8760 | + | 9.34499i | −1.19413 | + | 0.319966i | −0.800517 | − | 0.599309i | \(-0.795442\pi\) |
−0.393614 | + | 0.919276i | \(0.628775\pi\) | |||||||
\(854\) | −10.5616 | + | 6.09773i | −0.361410 | + | 0.208660i | ||||
\(855\) | 0.512095 | − | 0.424663i | 0.0175133 | − | 0.0145232i | ||||
\(856\) | −5.18710 | + | 1.38988i | −0.177291 | + | 0.0475051i | ||||
\(857\) | 15.2129 | − | 26.3495i | 0.519663 | − | 0.900083i | −0.480075 | − | 0.877227i | \(-0.659391\pi\) |
0.999739 | − | 0.0228561i | \(-0.00727596\pi\) | |||||||
\(858\) | −23.2358 | − | 15.4705i | −0.793258 | − | 0.528156i | ||||
\(859\) | 18.2735 | + | 31.6506i | 0.623483 | + | 1.07991i | 0.988832 | + | 0.149034i | \(0.0476165\pi\) |
−0.365349 | + | 0.930871i | \(0.619050\pi\) | |||||||
\(860\) | −1.14670 | − | 1.14670i | −0.0391021 | − | 0.0391021i | ||||
\(861\) | 12.3505 | + | 2.21466i | 0.420903 | + | 0.0754755i | ||||
\(862\) | − | 9.68297i | − | 0.329803i | ||||||
\(863\) | −20.5837 | − | 20.5837i | −0.700676 | − | 0.700676i | 0.263879 | − | 0.964556i | \(-0.414998\pi\) |
−0.964556 | + | 0.263879i | \(0.914998\pi\) | |||||||
\(864\) | −8.68644 | + | 31.3257i | −0.295519 | + | 1.06572i | ||||
\(865\) | −0.146292 | + | 0.545969i | −0.00497407 | + | 0.0185635i | ||||
\(866\) | 0.897800 | + | 3.35064i | 0.0305085 | + | 0.113859i | ||||
\(867\) | −9.65189 | − | 8.14670i | −0.327795 | − | 0.276676i | ||||
\(868\) | − | 19.8724i | − | 0.674512i | ||||||
\(869\) | −23.8249 | + | 23.8249i | −0.808206 | + | 0.808206i | ||||
\(870\) | −0.533607 | + | 2.97576i | −0.0180910 | + | 0.100888i | ||||
\(871\) | 14.6663 | − | 18.4448i | 0.496947 | − | 0.624977i | ||||
\(872\) | 16.6157i | 0.562679i | ||||||||
\(873\) | −4.93830 | + | 2.26800i | −0.167136 | + | 0.0767601i | ||||
\(874\) | −6.76277 | + | 11.7135i | −0.228754 | + | 0.396214i | ||||
\(875\) | −0.876030 | −0.0296152 | ||||||||
\(876\) | 66.6079 | − | 5.63288i | 2.25047 | − | 0.190317i | ||||
\(877\) | 1.31742 | + | 4.91667i | 0.0444860 | + | 0.166024i | 0.984595 | − | 0.174849i | \(-0.0559439\pi\) |
−0.940109 | + | 0.340874i | \(0.889277\pi\) | |||||||
\(878\) | 0.316381 | + | 1.18075i | 0.0106773 | + | 0.0398484i | ||||
\(879\) | 3.04094 | − | 0.257165i | 0.102568 | − | 0.00867397i | ||||
\(880\) | −0.0948493 | −0.00319737 | ||||||||
\(881\) | −20.1440 | + | 34.8904i | −0.678668 | + | 1.17549i | 0.296714 | + | 0.954966i | \(0.404109\pi\) |
−0.975382 | + | 0.220522i | \(0.929224\pi\) | |||||||
\(882\) | 5.53260 | + | 3.92198i | 0.186292 | + | 0.132060i | ||||
\(883\) | − | 8.02363i | − | 0.270017i | −0.990844 | − | 0.135008i | \(-0.956894\pi\) | ||
0.990844 | − | 0.135008i | \(-0.0431061\pi\) | |||||||
\(884\) | 3.96146 | + | 34.7143i | 0.133238 | + | 1.16757i | ||||
\(885\) | −0.102810 | + | 0.573340i | −0.00345593 | + | 0.0192726i | ||||
\(886\) | −2.12026 | + | 2.12026i | −0.0712317 | + | 0.0712317i | ||||
\(887\) | 12.2583i | 0.411595i | 0.978595 | + | 0.205797i | \(0.0659788\pi\) | ||||
−0.978595 | + | 0.205797i | \(0.934021\pi\) | |||||||
\(888\) | 25.5873 | + | 21.5970i | 0.858654 | + | 0.724749i | ||||
\(889\) | −0.146759 | − | 0.547713i | −0.00492215 | − | 0.0183697i | ||||
\(890\) | −0.257565 | + | 0.961244i | −0.00863359 | + | 0.0322210i | ||||
\(891\) | 10.0377 | + | 14.6952i | 0.336277 | + | 0.492308i | ||||
\(892\) | 48.9762 | + | 48.9762i | 1.63985 | + | 1.63985i | ||||
\(893\) | − | 0.179865i | − | 0.00601897i | ||||||
\(894\) | −44.3606 | − | 7.95465i | −1.48364 | − | 0.266043i | ||||
\(895\) | 0.746901 | + | 0.746901i | 0.0249662 | + | 0.0249662i | ||||
\(896\) | 8.49200 | + | 14.7086i | 0.283698 | + | 0.491379i | ||||
\(897\) | 0.941947 | − | 14.7422i | 0.0314507 | − | 0.492228i | ||||
\(898\) | 32.1255 | − | 55.6431i | 1.07204 | − | 1.85683i | ||||
\(899\) | 54.3558 | − | 14.5646i | 1.81287 | − | 0.485756i | ||||
\(900\) | 7.82256 | + | 45.9195i | 0.260752 | + | 1.53065i | ||||
\(901\) | 19.5663 | − | 11.2966i | 0.651848 | − | 0.376344i | ||||
\(902\) | 31.2783 | − | 8.38098i | 1.04145 | − | 0.279056i | ||||
\(903\) | −5.88401 | − | 8.45531i | −0.195808 | − | 0.281375i | ||||
\(904\) | 15.1303 | − | 4.05415i | 0.503226 | − | 0.134839i | ||||
\(905\) | 0.806986 | + | 0.216231i | 0.0268251 | + | 0.00718777i | ||||
\(906\) | 27.4689 | + | 4.92567i | 0.912594 | + | 0.163645i | ||||
\(907\) | −4.41396 | + | 2.54840i | −0.146563 | + | 0.0846182i | −0.571488 | − | 0.820610i | \(-0.693634\pi\) |
0.424925 | + | 0.905228i | \(0.360300\pi\) | |||||||
\(908\) | −12.9756 | − | 48.4256i | −0.430610 | − | 1.60706i | ||||
\(909\) | −8.62058 | − | 50.6039i | −0.285926 | − | 1.67843i | ||||
\(910\) | 0.262008 | + | 0.664799i | 0.00868548 | + | 0.0220379i | ||||
\(911\) | 12.6395 | + | 7.29742i | 0.418765 | + | 0.241774i | 0.694549 | − | 0.719445i | \(-0.255604\pi\) |
−0.275784 | + | 0.961220i | \(0.588937\pi\) | |||||||
\(912\) | 2.38853 | − | 0.201993i | 0.0790921 | − | 0.00668864i | ||||
\(913\) | 22.1154 | 0.731912 | ||||||||
\(914\) | −7.18873 | + | 12.4512i | −0.237782 | + | 0.411851i | ||||
\(915\) | 0.741447 | + | 0.348363i | 0.0245115 | + | 0.0115165i | ||||
\(916\) | −34.4899 | + | 34.4899i | −1.13958 | + | 1.13958i | ||||
\(917\) | −6.27183 | − | 1.68053i | −0.207114 | − | 0.0554960i | ||||
\(918\) | 9.77947 | − | 35.2675i | 0.322771 | − | 1.16400i | ||||
\(919\) | 24.8027 | + | 42.9596i | 0.818167 | + | 1.41711i | 0.907032 | + | 0.421062i | \(0.138343\pi\) |
−0.0888652 | + | 0.996044i | \(0.528324\pi\) | |||||||
\(920\) | 0.260226 | + | 0.450724i | 0.00857939 | + | 0.0148599i | ||||
\(921\) | 35.9615 | − | 25.0254i | 1.18497 | − | 0.824616i | ||||
\(922\) | −72.8777 | + | 42.0760i | −2.40010 | + | 1.38570i | ||||
\(923\) | −6.97422 | + | 46.7225i | −0.229559 | + | 1.53789i | ||||
\(924\) | 10.4848 | + | 1.88011i | 0.344924 | + | 0.0618511i | ||||
\(925\) | −37.1453 | − | 9.95305i | −1.22133 | − | 0.327254i | ||||
\(926\) | 45.8898 | + | 26.4945i | 1.50803 | + | 0.870663i | ||||
\(927\) | −52.2202 | + | 8.89591i | −1.71514 | + | 0.292180i | ||||
\(928\) | −38.9609 | + | 38.9609i | −1.27895 | + | 1.27895i | ||||
\(929\) | 32.7091 | + | 32.7091i | 1.07315 | + | 1.07315i | 0.997104 | + | 0.0760451i | \(0.0242293\pi\) |
0.0760451 | + | 0.997104i | \(0.475771\pi\) | |||||||
\(930\) | −1.80028 | + | 1.25280i | −0.0590334 | + | 0.0410810i | ||||
\(931\) | 0.654663 | − | 2.44324i | 0.0214557 | − | 0.0800738i | ||||
\(932\) | 19.9100 | + | 11.4950i | 0.652173 | + | 0.376532i | ||||
\(933\) | −2.95096 | + | 1.06438i | −0.0966102 | + | 0.0348464i | ||||
\(934\) | 5.30271 | − | 19.7900i | 0.173510 | − | 0.647548i | ||||
\(935\) | 0.540131 | 0.0176642 | ||||||||
\(936\) | 23.2251 | − | 14.0534i | 0.759135 | − | 0.459350i | ||||
\(937\) | 5.16848 | 0.168847 | 0.0844235 | − | 0.996430i | \(-0.473095\pi\) | ||||
0.0844235 | + | 0.996430i | \(0.473095\pi\) | |||||||
\(938\) | −3.82393 | + | 14.2711i | −0.124856 | + | 0.465968i | ||||
\(939\) | −15.8953 | − | 13.4164i | −0.518723 | − | 0.437829i | ||||
\(940\) | −0.0167917 | − | 0.00969471i | −0.000547686 | − | 0.000316207i | ||||
\(941\) | −1.68411 | + | 6.28519i | −0.0549004 | + | 0.204891i | −0.987928 | − | 0.154914i | \(-0.950490\pi\) |
0.933028 | + | 0.359805i | \(0.117157\pi\) | |||||||
\(942\) | −4.61863 | − | 54.6146i | −0.150483 | − | 1.77944i | ||||
\(943\) | 12.1170 | + | 12.1170i | 0.394584 | + | 0.394584i | ||||
\(944\) | −1.48406 | + | 1.48406i | −0.0483021 | + | 0.0483021i | ||||
\(945\) | 0.00396242 | − | 0.455532i | 0.000128897 | − | 0.0148184i | ||||
\(946\) | −23.0229 | − | 13.2923i | −0.748539 | − | 0.432169i | ||||
\(947\) | 52.1450 | + | 13.9722i | 1.69449 | + | 0.454036i | 0.971541 | − | 0.236870i | \(-0.0761215\pi\) |
0.722945 | + | 0.690906i | \(0.242788\pi\) | |||||||
\(948\) | −31.1447 | − | 86.3475i | −1.01153 | − | 2.80444i | ||||
\(949\) | 35.0190 | + | 27.8452i | 1.13677 | + | 0.903894i | ||||
\(950\) | 24.7214 | − | 14.2729i | 0.802067 | − | 0.463073i | ||||
\(951\) | −4.38433 | − | 51.8440i | −0.142172 | − | 1.68116i | ||||
\(952\) | −3.90969 | − | 6.77179i | −0.126714 | − | 0.219475i | ||||
\(953\) | 23.1715 | + | 40.1342i | 0.750598 | + | 1.30007i | 0.947533 | + | 0.319658i | \(0.103568\pi\) |
−0.196935 | + | 0.980417i | \(0.563099\pi\) | |||||||
\(954\) | −40.1187 | − | 28.4395i | −1.29889 | − | 0.920764i | ||||
\(955\) | 2.04921 | + | 0.549085i | 0.0663109 | + | 0.0177680i | ||||
\(956\) | −22.5791 | + | 22.5791i | −0.730261 | + | 0.730261i | ||||
\(957\) | 2.54180 | + | 30.0564i | 0.0821648 | + | 0.971585i | ||||
\(958\) | 47.5452 | − | 82.3508i | 1.53612 | − | 2.66063i | ||||
\(959\) | −11.2608 | −0.363629 | ||||||||
\(960\) | 0.842560 | − | 1.79328i | 0.0271935 | − | 0.0578780i | ||||
\(961\) | 8.50881 | + | 4.91256i | 0.274478 | + | 0.158470i | ||||
\(962\) | 7.11844 | + | 62.3790i | 0.229508 | + | 2.01118i | ||||
\(963\) | 4.09768 | + | 4.94134i | 0.132046 | + | 0.159233i | ||||
\(964\) | 11.3017 | + | 42.1784i | 0.364002 | + | 1.35847i | ||||
\(965\) | 0.674634 | − | 0.389500i | 0.0217172 | − | 0.0125385i | ||||
\(966\) | 3.14246 | + | 8.71237i | 0.101107 | + | 0.280316i | ||||
\(967\) | 40.4891 | + | 10.8490i | 1.30204 | + | 0.348881i | 0.842222 | − | 0.539131i | \(-0.181247\pi\) |
0.459820 | + | 0.888012i | \(0.347914\pi\) | |||||||
\(968\) | −17.1872 | + | 4.60530i | −0.552417 | + | 0.148020i | ||||
\(969\) | −13.6018 | + | 1.15027i | −0.436952 | + | 0.0369521i | ||||
\(970\) | 0.346761 | − | 0.0929143i | 0.0111338 | − | 0.00298330i | ||||
\(971\) | 16.4936 | − | 9.52259i | 0.529305 | − | 0.305594i | −0.211428 | − | 0.977393i | \(-0.567812\pi\) |
0.740733 | + | 0.671799i | \(0.234478\pi\) | |||||||
\(972\) | −47.8634 | + | 7.72593i | −1.53522 | + | 0.247809i | ||||
\(973\) | −11.2179 | + | 3.00583i | −0.359629 | + | 0.0963624i | ||||
\(974\) | 0.982332 | − | 1.70145i | 0.0314759 | − | 0.0545179i | ||||
\(975\) | −17.2784 | + | 25.9511i | −0.553352 | + | 0.831101i | ||||
\(976\) | 1.47586 | + | 2.55627i | 0.0472412 | + | 0.0818242i | ||||
\(977\) | −24.7669 | − | 24.7669i | −0.792362 | − | 0.792362i | 0.189515 | − | 0.981878i | \(-0.439308\pi\) |
−0.981878 | + | 0.189515i | \(0.939308\pi\) | |||||||
\(978\) | −0.918480 | + | 1.08818i | −0.0293697 | + | 0.0347961i | ||||
\(979\) | 9.92897i | 0.317331i | ||||||||
\(980\) | −0.192807 | − | 0.192807i | −0.00615901 | − | 0.00615901i | ||||
\(981\) | 18.0497 | − | 8.28962i | 0.576282 | − | 0.264667i | ||||
\(982\) | −9.16588 | + | 34.2075i | −0.292495 | + | 1.09161i | ||||
\(983\) | 1.30973 | + | 4.88798i | 0.0417739 | + | 0.155902i | 0.983662 | − | 0.180024i | \(-0.0576174\pi\) |
−0.941888 | + | 0.335926i | \(0.890951\pi\) | |||||||
\(984\) | −5.55801 | + | 30.9953i | −0.177183 | + | 0.988093i | ||||
\(985\) | 0.340564i | 0.0108513i | ||||||||
\(986\) | 43.8634 | − | 43.8634i | 1.39689 | − | 1.39689i | ||||
\(987\) | −0.0941198 | − | 0.0794421i | −0.00299587 | − | 0.00252867i | ||||
\(988\) | −22.2016 | − | 17.6535i | −0.706328 | − | 0.561633i | ||||
\(989\) | − | 14.0683i | − | 0.447345i | ||||||
\(990\) | −0.490664 | − | 1.06836i | −0.0155943 | − | 0.0339548i | ||||
\(991\) | −4.96704 | + | 8.60316i | −0.157783 | + | 0.273288i | −0.934069 | − | 0.357093i | \(-0.883768\pi\) |
0.776286 | + | 0.630381i | \(0.217101\pi\) | |||||||
\(992\) | −39.9732 | −1.26915 | ||||||||
\(993\) | 10.2110 | + | 14.6732i | 0.324037 | + | 0.465641i | ||||
\(994\) | −7.66574 | − | 28.6089i | −0.243143 | − | 0.907420i | ||||
\(995\) | −0.331266 | − | 1.23630i | −0.0105018 | − | 0.0391934i | ||||
\(996\) | −25.6209 | + | 54.5308i | −0.811828 | + | 1.72787i | ||||
\(997\) | −23.3262 | −0.738750 | −0.369375 | − | 0.929281i | \(-0.620428\pi\) | ||||
−0.369375 | + | 0.929281i | \(0.620428\pi\) | |||||||
\(998\) | −13.6707 | + | 23.6784i | −0.432740 | + | 0.749528i | ||||
\(999\) | 10.6953 | − | 38.5704i | 0.338385 | − | 1.22031i |
(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 | 819.2.fy.a.344.11 | yes | 336 | |
9.5 | odd | 6 | 819.2.ew.a.617.74 | yes | 336 | ||
13.11 | odd | 12 | 819.2.ew.a.596.74 | ✓ | 336 | ||
117.50 | even | 12 | inner | 819.2.fy.a.50.11 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
819.2.ew.a.596.74 | ✓ | 336 | 13.11 | odd | 12 | ||
819.2.ew.a.617.74 | yes | 336 | 9.5 | odd | 6 | ||
819.2.fy.a.50.11 | yes | 336 | 117.50 | even | 12 | inner | |
819.2.fy.a.344.11 | yes | 336 | 1.1 | even | 1 | trivial |