Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,2,Mod(4,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.j (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: | \(0.918279623245\) |
Analytic rank: | \(0\) |
Dimension: | \(100\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 4.7 | ||
Character | \(\chi\) | \(=\) | 115.4 |
Dual form | 115.2.j.a.29.7 |
$q$-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 \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.477984 | − | 0.218288i | 0.337986 | − | 0.154353i | −0.239190 | − | 0.970973i | \(-0.576882\pi\) |
0.577176 | + | 0.816620i | \(0.304155\pi\) | |||||||
\(3\) | 0.663307 | + | 2.25902i | 0.382961 | + | 1.30424i | 0.895301 | + | 0.445461i | \(0.146960\pi\) |
−0.512341 | + | 0.858782i | \(0.671221\pi\) | |||||||
\(4\) | −1.12890 | + | 1.30282i | −0.564451 | + | 0.651411i | ||||
\(5\) | −2.15745 | − | 0.587726i | −0.964840 | − | 0.262839i | ||||
\(6\) | 0.810167 | + | 0.934983i | 0.330749 | + | 0.381705i | ||||
\(7\) | 3.03882 | − | 0.436916i | 1.14856 | − | 0.165139i | 0.458369 | − | 0.888762i | \(-0.348434\pi\) |
0.690195 | + | 0.723623i | \(0.257525\pi\) | |||||||
\(8\) | −0.551291 | + | 1.87752i | −0.194911 | + | 0.663805i | ||||
\(9\) | −2.13942 | + | 1.37492i | −0.713139 | + | 0.458307i | ||||
\(10\) | −1.15952 | + | 0.190022i | −0.366672 | + | 0.0600901i | ||||
\(11\) | 0.639358 | − | 1.40000i | 0.192774 | − | 0.422116i | −0.788421 | − | 0.615136i | \(-0.789101\pi\) |
0.981195 | + | 0.193020i | \(0.0618284\pi\) | |||||||
\(12\) | −3.69191 | − | 1.68604i | −1.06576 | − | 0.486717i | ||||
\(13\) | 2.46613 | + | 0.354576i | 0.683982 | + | 0.0983417i | 0.475541 | − | 0.879693i | \(-0.342252\pi\) |
0.208440 | + | 0.978035i | \(0.433161\pi\) | |||||||
\(14\) | 1.35713 | − | 0.872177i | 0.362709 | − | 0.233099i | ||||
\(15\) | −0.103368 | − | 5.26355i | −0.0266896 | − | 1.35904i | ||||
\(16\) | −0.344335 | − | 2.39490i | −0.0860837 | − | 0.598725i | ||||
\(17\) | −0.765539 | + | 0.663343i | −0.185671 | + | 0.160884i | −0.742737 | − | 0.669584i | \(-0.766472\pi\) |
0.557066 | + | 0.830468i | \(0.311927\pi\) | |||||||
\(18\) | −0.722480 | + | 1.12420i | −0.170290 | + | 0.264977i | ||||
\(19\) | 4.34173 | − | 5.01062i | 0.996061 | − | 1.14952i | 0.00730613 | − | 0.999973i | \(-0.497674\pi\) |
0.988755 | − | 0.149543i | \(-0.0477802\pi\) | |||||||
\(20\) | 3.20125 | − | 2.14729i | 0.715821 | − | 0.480148i | ||||
\(21\) | 3.00267 | + | 6.57493i | 0.655236 | + | 1.43477i | ||||
\(22\) | − | 0.808742i | − | 0.172424i | ||||||
\(23\) | −4.70182 | − | 0.944904i | −0.980398 | − | 0.197026i | ||||
\(24\) | −4.60703 | −0.940407 | ||||||||
\(25\) | 4.30916 | + | 2.53597i | 0.861831 | + | 0.507195i | ||||
\(26\) | 1.25617 | − | 0.368845i | 0.246356 | − | 0.0723365i | ||||
\(27\) | 0.812918 | + | 0.704397i | 0.156446 | + | 0.135561i | ||||
\(28\) | −2.86130 | + | 4.45227i | −0.540735 | + | 0.841401i | ||||
\(29\) | 1.91799 | + | 2.21348i | 0.356161 | + | 0.411032i | 0.905350 | − | 0.424666i | \(-0.139609\pi\) |
−0.549188 | + | 0.835699i | \(0.685063\pi\) | |||||||
\(30\) | −1.19838 | − | 2.49333i | −0.218793 | − | 0.455218i | ||||
\(31\) | −8.97455 | − | 2.63517i | −1.61188 | − | 0.473290i | −0.653058 | − | 0.757308i | \(-0.726514\pi\) |
−0.958819 | + | 0.284018i | \(0.908332\pi\) | |||||||
\(32\) | −2.80320 | − | 4.36187i | −0.495541 | − | 0.771077i | ||||
\(33\) | 3.58671 | + | 0.515691i | 0.624366 | + | 0.0897703i | ||||
\(34\) | −0.221116 | + | 0.484176i | −0.0379210 | + | 0.0830355i | ||||
\(35\) | −6.81287 | − | 0.843367i | −1.15159 | − | 0.142555i | ||||
\(36\) | 0.623916 | − | 4.33943i | 0.103986 | − | 0.723239i | ||||
\(37\) | −4.50401 | − | 7.00838i | −0.740455 | − | 1.15217i | −0.983280 | − | 0.182100i | \(-0.941711\pi\) |
0.242825 | − | 0.970070i | \(-0.421926\pi\) | |||||||
\(38\) | 0.981520 | − | 3.34275i | 0.159224 | − | 0.542266i | ||||
\(39\) | 0.834809 | + | 5.80622i | 0.133676 | + | 0.929740i | ||||
\(40\) | 2.29285 | − | 3.72665i | 0.362531 | − | 0.589235i | ||||
\(41\) | −2.93712 | − | 1.88758i | −0.458702 | − | 0.294790i | 0.290810 | − | 0.956781i | \(-0.406075\pi\) |
−0.749512 | + | 0.661991i | \(0.769712\pi\) | |||||||
\(42\) | 2.87046 | + | 2.48727i | 0.442921 | + | 0.383793i | ||||
\(43\) | 3.05193 | + | 10.3939i | 0.465415 | + | 1.58506i | 0.773562 | + | 0.633720i | \(0.218473\pi\) |
−0.308147 | + | 0.951339i | \(0.599709\pi\) | |||||||
\(44\) | 1.10218 | + | 2.41343i | 0.166159 | + | 0.363839i | ||||
\(45\) | 5.42376 | − | 1.70893i | 0.808526 | − | 0.254752i | ||||
\(46\) | −2.45366 | + | 0.574703i | −0.361772 | + | 0.0847354i | ||||
\(47\) | 6.01433i | 0.877281i | 0.898663 | + | 0.438640i | \(0.144540\pi\) | ||||
−0.898663 | + | 0.438640i | \(0.855460\pi\) | |||||||
\(48\) | 5.18172 | − | 2.36641i | 0.747917 | − | 0.341562i | ||||
\(49\) | 2.32706 | − | 0.683286i | 0.332437 | − | 0.0976123i | ||||
\(50\) | 2.61328 | + | 0.271518i | 0.369574 | + | 0.0383984i | ||||
\(51\) | −2.00629 | − | 1.28937i | −0.280937 | − | 0.180547i | ||||
\(52\) | −3.24597 | + | 2.81265i | −0.450135 | + | 0.390044i | ||||
\(53\) | −0.472909 | + | 0.0679941i | −0.0649591 | + | 0.00933970i | −0.174718 | − | 0.984619i | \(-0.555901\pi\) |
0.109759 | + | 0.993958i | \(0.464992\pi\) | |||||||
\(54\) | 0.542324 | + | 0.159241i | 0.0738009 | + | 0.0216699i | ||||
\(55\) | −2.20220 | + | 2.64466i | −0.296944 | + | 0.356605i | ||||
\(56\) | −0.854952 | + | 5.94632i | −0.114248 | + | 0.794610i | ||||
\(57\) | 14.1990 | + | 6.48446i | 1.88070 | + | 0.858888i | ||||
\(58\) | 1.39994 | + | 0.639333i | 0.183822 | + | 0.0839486i | ||||
\(59\) | 1.15651 | − | 8.04367i | 0.150564 | − | 1.04720i | −0.764713 | − | 0.644371i | \(-0.777119\pi\) |
0.915277 | − | 0.402825i | \(-0.131972\pi\) | |||||||
\(60\) | 6.97417 | + | 5.80736i | 0.900361 | + | 0.749727i | ||||
\(61\) | 2.28378 | + | 0.670578i | 0.292408 | + | 0.0858587i | 0.424647 | − | 0.905359i | \(-0.360398\pi\) |
−0.132239 | + | 0.991218i | \(0.542217\pi\) | |||||||
\(62\) | −4.86492 | + | 0.699470i | −0.617846 | + | 0.0888328i | ||||
\(63\) | −5.90058 | + | 5.11288i | −0.743403 | + | 0.644162i | ||||
\(64\) | 1.77884 | + | 1.14319i | 0.222355 | + | 0.142899i | ||||
\(65\) | −5.11216 | − | 2.21439i | −0.634085 | − | 0.274661i | ||||
\(66\) | 1.82696 | − | 0.536444i | 0.224883 | − | 0.0660317i | ||||
\(67\) | 4.81628 | − | 2.19952i | 0.588402 | − | 0.268714i | −0.0988867 | − | 0.995099i | \(-0.531528\pi\) |
0.687288 | + | 0.726385i | \(0.258801\pi\) | |||||||
\(68\) | − | 1.74621i | − | 0.211759i | ||||||
\(69\) | −0.984201 | − | 11.2483i | −0.118484 | − | 1.35413i | ||||
\(70\) | −3.44054 | + | 1.08405i | −0.411224 | + | 0.129569i | ||||
\(71\) | −3.69107 | − | 8.08231i | −0.438049 | − | 0.959194i | −0.991952 | − | 0.126613i | \(-0.959589\pi\) |
0.553903 | − | 0.832581i | \(-0.313138\pi\) | |||||||
\(72\) | −1.40201 | − | 4.77479i | −0.165228 | − | 0.562715i | ||||
\(73\) | 3.01277 | + | 2.61058i | 0.352619 | + | 0.305546i | 0.813101 | − | 0.582123i | \(-0.197778\pi\) |
−0.460482 | + | 0.887669i | \(0.652323\pi\) | |||||||
\(74\) | −3.68269 | − | 2.36672i | −0.428104 | − | 0.275126i | ||||
\(75\) | −2.87051 | + | 11.4166i | −0.331458 | + | 1.31827i | ||||
\(76\) | 1.62657 | + | 11.3130i | 0.186580 | + | 1.29769i | ||||
\(77\) | 1.33121 | − | 4.53369i | 0.151705 | − | 0.516661i | ||||
\(78\) | 1.66646 | + | 2.59306i | 0.188689 | + | 0.293606i | ||||
\(79\) | −1.08101 | + | 7.51856i | −0.121623 | + | 0.845904i | 0.834096 | + | 0.551620i | \(0.185990\pi\) |
−0.955718 | + | 0.294284i | \(0.904919\pi\) | |||||||
\(80\) | −0.664661 | + | 5.36925i | −0.0743113 | + | 0.600300i | ||||
\(81\) | −4.22140 | + | 9.24357i | −0.469044 | + | 1.02706i | ||||
\(82\) | −1.81594 | − | 0.261092i | −0.200536 | − | 0.0288328i | ||||
\(83\) | −8.17334 | − | 12.7180i | −0.897140 | − | 1.39598i | −0.918165 | − | 0.396199i | \(-0.870329\pi\) |
0.0210242 | − | 0.999779i | \(-0.493307\pi\) | |||||||
\(84\) | −11.9557 | − | 3.51050i | −1.30447 | − | 0.383027i | ||||
\(85\) | 2.04147 | − | 0.981202i | 0.221429 | − | 0.106426i | ||||
\(86\) | 3.72765 | + | 4.30193i | 0.401963 | + | 0.463890i | ||||
\(87\) | −3.72806 | + | 5.80098i | −0.399690 | + | 0.621931i | ||||
\(88\) | 2.27606 | + | 1.97222i | 0.242629 | + | 0.210239i | ||||
\(89\) | 7.12317 | − | 2.09155i | 0.755055 | − | 0.221704i | 0.118519 | − | 0.992952i | \(-0.462185\pi\) |
0.636535 | + | 0.771248i | \(0.280367\pi\) | |||||||
\(90\) | 2.21943 | − | 2.00078i | 0.233949 | − | 0.210901i | ||||
\(91\) | 7.64904 | 0.801837 | ||||||||
\(92\) | 6.53894 | − | 5.05894i | 0.681732 | − | 0.527431i | ||||
\(93\) | − | 22.0216i | − | 2.28353i | ||||||
\(94\) | 1.31286 | + | 2.87476i | 0.135411 | + | 0.296509i | ||||
\(95\) | −12.3119 | + | 8.25841i | −1.26318 | + | 0.847295i | ||||
\(96\) | 7.99415 | − | 9.22575i | 0.815900 | − | 0.941599i | ||||
\(97\) | 2.20825 | − | 3.43610i | 0.224214 | − | 0.348883i | −0.710862 | − | 0.703332i | \(-0.751695\pi\) |
0.935076 | + | 0.354448i | \(0.115331\pi\) | |||||||
\(98\) | 0.963144 | − | 0.834569i | 0.0972923 | − | 0.0843042i | ||||
\(99\) | 0.557033 | + | 3.87425i | 0.0559839 | + | 0.389377i | ||||
\(100\) | −8.16854 | + | 2.75120i | −0.816854 | + | 0.275120i | ||||
\(101\) | 6.75893 | − | 4.34370i | 0.672539 | − | 0.432214i | −0.159301 | − | 0.987230i | \(-0.550924\pi\) |
0.831840 | + | 0.555016i | \(0.187288\pi\) | |||||||
\(102\) | −1.24043 | − | 0.178347i | −0.122821 | − | 0.0176590i | ||||
\(103\) | −11.0603 | − | 5.05109i | −1.08981 | − | 0.497699i | −0.212273 | − | 0.977210i | \(-0.568087\pi\) |
−0.877536 | + | 0.479512i | \(0.840814\pi\) | |||||||
\(104\) | −2.02528 | + | 4.43475i | −0.198595 | + | 0.434863i | ||||
\(105\) | −2.61385 | − | 15.9498i | −0.255085 | − | 1.55654i | ||||
\(106\) | −0.211201 | + | 0.135731i | −0.0205136 | + | 0.0131833i | ||||
\(107\) | −3.45137 | + | 11.7543i | −0.333656 | + | 1.13633i | 0.606358 | + | 0.795192i | \(0.292630\pi\) |
−0.940014 | + | 0.341137i | \(0.889188\pi\) | |||||||
\(108\) | −1.83541 | + | 0.263892i | −0.176612 | + | 0.0253930i | ||||
\(109\) | −1.07876 | − | 1.24495i | −0.103326 | − | 0.119245i | 0.701731 | − | 0.712442i | \(-0.252411\pi\) |
−0.805057 | + | 0.593197i | \(0.797865\pi\) | |||||||
\(110\) | −0.475318 | + | 1.74482i | −0.0453198 | + | 0.166362i | ||||
\(111\) | 12.8445 | − | 14.8233i | 1.21915 | − | 1.40697i | ||||
\(112\) | −2.09274 | − | 7.12722i | −0.197745 | − | 0.673459i | ||||
\(113\) | −8.19242 | + | 3.74135i | −0.770678 | + | 0.351957i | −0.761638 | − | 0.648002i | \(-0.775605\pi\) |
−0.00903961 | + | 0.999959i | \(0.502877\pi\) | |||||||
\(114\) | 8.20237 | 0.768223 | ||||||||
\(115\) | 9.58859 | + | 4.80196i | 0.894141 | + | 0.447785i | ||||
\(116\) | −5.04899 | −0.468787 | ||||||||
\(117\) | −5.76360 | + | 2.63215i | −0.532845 | + | 0.243342i | ||||
\(118\) | −1.20305 | − | 4.09720i | −0.110749 | − | 0.377178i | ||||
\(119\) | −2.03651 | + | 2.35026i | −0.186686 | + | 0.215448i | ||||
\(120\) | 9.93943 | + | 2.70767i | 0.907342 | + | 0.247176i | ||||
\(121\) | 5.65225 | + | 6.52304i | 0.513841 | + | 0.593004i | ||||
\(122\) | 1.23799 | − | 0.177996i | 0.112082 | − | 0.0161150i | ||||
\(123\) | 2.31585 | − | 7.88705i | 0.208813 | − | 0.711152i | ||||
\(124\) | 13.5645 | − | 8.71740i | 1.21813 | − | 0.782846i | ||||
\(125\) | −7.80632 | − | 8.00383i | −0.698219 | − | 0.715885i | ||||
\(126\) | −1.70430 | + | 3.73190i | −0.151831 | + | 0.332464i | ||||
\(127\) | −6.03439 | − | 2.75582i | −0.535466 | − | 0.244539i | 0.129281 | − | 0.991608i | \(-0.458733\pi\) |
−0.664747 | + | 0.747069i | \(0.731460\pi\) | |||||||
\(128\) | 11.3642 | + | 1.63392i | 1.00446 | + | 0.144420i | ||||
\(129\) | −21.4557 | + | 13.7887i | −1.88907 | + | 1.21403i | ||||
\(130\) | −2.92691 | + | 0.0574800i | −0.256707 | + | 0.00504133i | ||||
\(131\) | −0.0907186 | − | 0.630962i | −0.00792612 | − | 0.0551274i | 0.985475 | − | 0.169823i | \(-0.0543197\pi\) |
−0.993401 | + | 0.114696i | \(0.963411\pi\) | |||||||
\(132\) | −4.72090 | + | 4.09068i | −0.410902 | + | 0.356048i | ||||
\(133\) | 11.0045 | − | 17.1233i | 0.954211 | − | 1.48478i | ||||
\(134\) | 1.82198 | − | 2.10267i | 0.157395 | − | 0.181643i | ||||
\(135\) | −1.33983 | − | 1.99747i | −0.115315 | − | 0.171915i | ||||
\(136\) | −0.823409 | − | 1.80301i | −0.0706067 | − | 0.154607i | ||||
\(137\) | 16.8911i | 1.44310i | 0.692360 | + | 0.721552i | \(0.256571\pi\) | ||||
−0.692360 | + | 0.721552i | \(0.743429\pi\) | |||||||
\(138\) | −2.92579 | − | 5.16165i | −0.249060 | − | 0.439389i | ||||
\(139\) | −9.84075 | −0.834681 | −0.417341 | − | 0.908750i | \(-0.637038\pi\) | ||||
−0.417341 | + | 0.908750i | \(0.637038\pi\) | |||||||
\(140\) | 8.78982 | − | 7.92388i | 0.742876 | − | 0.669690i | ||||
\(141\) | −13.5865 | + | 3.98935i | −1.14419 | + | 0.335964i | ||||
\(142\) | −3.52855 | − | 3.05750i | −0.296109 | − | 0.256580i | ||||
\(143\) | 2.07315 | − | 3.22588i | 0.173365 | − | 0.269762i | ||||
\(144\) | 4.02948 | + | 4.65026i | 0.335790 | + | 0.387522i | ||||
\(145\) | −2.83704 | − | 5.90271i | −0.235604 | − | 0.490193i | ||||
\(146\) | 2.00992 | + | 0.590165i | 0.166342 | + | 0.0488424i | ||||
\(147\) | 3.08711 | + | 4.80363i | 0.254620 | + | 0.396197i | ||||
\(148\) | 14.2153 | + | 2.04385i | 1.16849 | + | 0.168003i | ||||
\(149\) | 0.273366 | − | 0.598589i | 0.0223950 | − | 0.0490383i | −0.898104 | − | 0.439783i | \(-0.855055\pi\) |
0.920499 | + | 0.390745i | \(0.127783\pi\) | |||||||
\(150\) | 1.12005 | + | 6.08355i | 0.0914513 | + | 0.496720i | ||||
\(151\) | −0.627769 | + | 4.36623i | −0.0510871 | + | 0.355319i | 0.948204 | + | 0.317663i | \(0.102898\pi\) |
−0.999291 | + | 0.0376556i | \(0.988011\pi\) | |||||||
\(152\) | 7.01401 | + | 10.9140i | 0.568912 | + | 0.885244i | ||||
\(153\) | 0.725764 | − | 2.47172i | 0.0586745 | − | 0.199827i | ||||
\(154\) | −0.353352 | − | 2.45762i | −0.0284739 | − | 0.198041i | ||||
\(155\) | 17.8134 | + | 10.9598i | 1.43080 | + | 0.880313i | ||||
\(156\) | −8.50690 | − | 5.46705i | −0.681097 | − | 0.437714i | ||||
\(157\) | −0.541721 | − | 0.469404i | −0.0432340 | − | 0.0374625i | 0.632976 | − | 0.774172i | \(-0.281833\pi\) |
−0.676210 | + | 0.736709i | \(0.736379\pi\) | |||||||
\(158\) | 1.12451 | + | 3.82972i | 0.0894611 | + | 0.304676i | ||||
\(159\) | −0.467284 | − | 1.02321i | −0.0370580 | − | 0.0811457i | ||||
\(160\) | 3.48418 | + | 11.0580i | 0.275449 | + | 0.874213i | ||||
\(161\) | −14.7008 | − | 0.817087i | −1.15859 | − | 0.0643955i | ||||
\(162\) | 5.33976i | 0.419531i | ||||||||
\(163\) | −22.9342 | + | 10.4737i | −1.79634 | + | 0.820362i | −0.832434 | + | 0.554124i | \(0.813053\pi\) |
−0.963907 | + | 0.266237i | \(0.914219\pi\) | |||||||
\(164\) | 5.77490 | − | 1.69566i | 0.450944 | − | 0.132409i | ||||
\(165\) | −7.43506 | − | 3.22058i | −0.578818 | − | 0.250722i | ||||
\(166\) | −6.68291 | − | 4.29485i | −0.518694 | − | 0.333345i | ||||
\(167\) | 4.26661 | − | 3.69704i | 0.330160 | − | 0.286085i | −0.473967 | − | 0.880542i | \(-0.657179\pi\) |
0.804127 | + | 0.594457i | \(0.202633\pi\) | |||||||
\(168\) | −13.9999 | + | 2.01289i | −1.08012 | + | 0.155298i | ||||
\(169\) | −6.51733 | − | 1.91366i | −0.501333 | − | 0.147205i | ||||
\(170\) | 0.761608 | − | 0.914629i | 0.0584127 | − | 0.0701488i | ||||
\(171\) | −2.39957 | + | 16.6894i | −0.183500 | + | 1.27627i | ||||
\(172\) | −16.9868 | − | 7.75760i | −1.29523 | − | 0.591512i | ||||
\(173\) | 14.0330 | + | 6.40867i | 1.06691 | + | 0.487242i | 0.869935 | − | 0.493166i | \(-0.164160\pi\) |
0.196977 | + | 0.980408i | \(0.436888\pi\) | |||||||
\(174\) | −0.515671 | + | 3.58657i | −0.0390929 | + | 0.271897i | ||||
\(175\) | 14.2027 | + | 5.82362i | 1.07363 | + | 0.440224i | ||||
\(176\) | −3.57301 | − | 1.04913i | −0.269326 | − | 0.0790812i | ||||
\(177\) | 18.9379 | − | 2.72286i | 1.42346 | − | 0.204663i | ||||
\(178\) | 2.94820 | − | 2.55463i | 0.220977 | − | 0.191478i | ||||
\(179\) | 20.9513 | + | 13.4646i | 1.56598 | + | 1.00639i | 0.980691 | + | 0.195564i | \(0.0626537\pi\) |
0.585285 | + | 0.810828i | \(0.300983\pi\) | |||||||
\(180\) | −3.89646 | + | 8.99541i | −0.290425 | + | 0.670478i | ||||
\(181\) | 7.92021 | − | 2.32558i | 0.588704 | − | 0.172859i | 0.0262045 | − | 0.999657i | \(-0.491658\pi\) |
0.562500 | + | 0.826797i | \(0.309840\pi\) | |||||||
\(182\) | 3.65612 | − | 1.66970i | 0.271010 | − | 0.123766i | ||||
\(183\) | 5.60389i | 0.414252i | ||||||||
\(184\) | 4.36615 | − | 8.30687i | 0.321877 | − | 0.612391i | ||||
\(185\) | 5.59816 | + | 17.7673i | 0.411585 | + | 1.30628i | ||||
\(186\) | −4.80705 | − | 10.5260i | −0.352470 | − | 0.771802i | ||||
\(187\) | 0.439226 | + | 1.49587i | 0.0321194 | + | 0.109389i | ||||
\(188\) | −7.83561 | − | 6.78959i | −0.571471 | − | 0.495182i | ||||
\(189\) | 2.77807 | + | 1.78536i | 0.202075 | + | 0.129866i | ||||
\(190\) | −4.08220 | + | 6.63494i | −0.296154 | + | 0.481349i | ||||
\(191\) | −2.29599 | − | 15.9689i | −0.166132 | − | 1.15547i | −0.886787 | − | 0.462179i | \(-0.847068\pi\) |
0.720655 | − | 0.693294i | \(-0.243841\pi\) | |||||||
\(192\) | −1.40257 | + | 4.77672i | −0.101222 | + | 0.344730i | ||||
\(193\) | 6.51962 | + | 10.1447i | 0.469293 | + | 0.730234i | 0.992536 | − | 0.121949i | \(-0.0389145\pi\) |
−0.523243 | + | 0.852183i | \(0.675278\pi\) | |||||||
\(194\) | 0.305448 | − | 2.12444i | 0.0219299 | − | 0.152526i | ||||
\(195\) | 1.61141 | − | 13.0173i | 0.115396 | − | 0.932186i | ||||
\(196\) | −1.73682 | + | 3.80311i | −0.124059 | + | 0.271650i | ||||
\(197\) | 20.5909 | + | 2.96053i | 1.46704 | + | 0.210929i | 0.829076 | − | 0.559136i | \(-0.188867\pi\) |
0.637966 | + | 0.770065i | \(0.279776\pi\) | |||||||
\(198\) | 1.11196 | + | 1.73024i | 0.0790233 | + | 0.122963i | ||||
\(199\) | −6.66748 | − | 1.95775i | −0.472645 | − | 0.138781i | 0.0367310 | − | 0.999325i | \(-0.488306\pi\) |
−0.509376 | + | 0.860544i | \(0.670124\pi\) | |||||||
\(200\) | −7.13695 | + | 6.69249i | −0.504659 | + | 0.473230i | ||||
\(201\) | 8.16342 | + | 9.42109i | 0.575803 | + | 0.664512i | ||||
\(202\) | 2.28249 | − | 3.55162i | 0.160595 | − | 0.249891i | ||||
\(203\) | 6.79552 | + | 5.88835i | 0.476952 | + | 0.413281i | ||||
\(204\) | 3.94472 | − | 1.15827i | 0.276186 | − | 0.0810954i | ||||
\(205\) | 5.22731 | + | 5.79857i | 0.365092 | + | 0.404990i | ||||
\(206\) | −6.38927 | −0.445161 | ||||||||
\(207\) | 11.3583 | − | 4.44309i | 0.789459 | − | 0.308816i | ||||
\(208\) | − | 6.02823i | − | 0.417983i | ||||||
\(209\) | −4.23895 | − | 9.28200i | −0.293214 | − | 0.642049i | ||||
\(210\) | −4.73103 | − | 7.05319i | −0.326472 | − | 0.486716i | ||||
\(211\) | 2.41845 | − | 2.79104i | 0.166493 | − | 0.192143i | −0.666372 | − | 0.745620i | \(-0.732154\pi\) |
0.832865 | + | 0.553476i | \(0.186699\pi\) | |||||||
\(212\) | 0.445284 | − | 0.692875i | 0.0305822 | − | 0.0475869i | ||||
\(213\) | 15.8098 | − | 13.6992i | 1.08327 | − | 0.938657i | ||||
\(214\) | 0.916120 | + | 6.37175i | 0.0626247 | + | 0.435564i | ||||
\(215\) | −0.475606 | − | 24.2181i | −0.0324361 | − | 1.65166i | ||||
\(216\) | −1.77068 | + | 1.13795i | −0.120479 | + | 0.0774274i | ||||
\(217\) | −28.4234 | − | 4.08666i | −1.92950 | − | 0.277421i | ||||
\(218\) | −0.787387 | − | 0.359588i | −0.0533286 | − | 0.0243543i | ||||
\(219\) | −3.89896 | + | 8.53753i | −0.263467 | + | 0.576913i | ||||
\(220\) | −0.959454 | − | 5.85463i | −0.0646864 | − | 0.394719i | ||||
\(221\) | −2.12313 | + | 1.36445i | −0.142817 | + | 0.0917829i | ||||
\(222\) | 2.90371 | − | 9.88913i | 0.194884 | − | 0.663715i | ||||
\(223\) | −5.00283 | + | 0.719299i | −0.335014 | + | 0.0481678i | −0.307769 | − | 0.951461i | \(-0.599583\pi\) |
−0.0272450 | + | 0.999629i | \(0.508673\pi\) | |||||||
\(224\) | −10.4242 | − | 12.0302i | −0.696496 | − | 0.803799i | ||||
\(225\) | −12.7059 | + | 0.499240i | −0.847057 | + | 0.0332827i | ||||
\(226\) | −3.09916 | + | 3.57662i | −0.206153 | + | 0.237913i | ||||
\(227\) | −3.20844 | − | 10.9270i | −0.212952 | − | 0.725248i | −0.994806 | − | 0.101787i | \(-0.967544\pi\) |
0.781854 | − | 0.623461i | \(-0.214274\pi\) | |||||||
\(228\) | −24.4774 | + | 11.1784i | −1.62105 | + | 0.740310i | ||||
\(229\) | 16.4731 | 1.08857 | 0.544285 | − | 0.838900i | \(-0.316801\pi\) | ||||
0.544285 | + | 0.838900i | \(0.316801\pi\) | |||||||
\(230\) | 5.63141 | + | 0.202187i | 0.371324 | + | 0.0133318i | ||||
\(231\) | 11.1247 | 0.731950 | ||||||||
\(232\) | −5.21323 | + | 2.38080i | −0.342265 | + | 0.156307i | ||||
\(233\) | 1.81503 | + | 6.18143i | 0.118907 | + | 0.404959i | 0.997339 | − | 0.0729086i | \(-0.0232281\pi\) |
−0.878432 | + | 0.477867i | \(0.841410\pi\) | |||||||
\(234\) | −2.18034 | + | 2.51625i | −0.142534 | + | 0.164493i | ||||
\(235\) | 3.53478 | − | 12.9756i | 0.230584 | − | 0.846435i | ||||
\(236\) | 9.17390 | + | 10.5872i | 0.597170 | + | 0.689171i | ||||
\(237\) | −17.7016 | + | 2.54510i | −1.14984 | + | 0.165322i | ||||
\(238\) | −0.460386 | + | 1.56793i | −0.0298424 | + | 0.101634i | ||||
\(239\) | −24.2672 | + | 15.5956i | −1.56972 | + | 1.00880i | −0.590241 | + | 0.807227i | \(0.700967\pi\) |
−0.979474 | + | 0.201568i | \(0.935396\pi\) | |||||||
\(240\) | −12.5701 | + | 2.05998i | −0.811396 | + | 0.132971i | ||||
\(241\) | 4.31309 | − | 9.44435i | 0.277831 | − | 0.608364i | −0.718350 | − | 0.695682i | \(-0.755102\pi\) |
0.996181 | + | 0.0873177i | \(0.0278295\pi\) | |||||||
\(242\) | 4.12559 | + | 1.88409i | 0.265203 | + | 0.121114i | ||||
\(243\) | −20.4874 | − | 2.94564i | −1.31427 | − | 0.188963i | ||||
\(244\) | −3.45181 | + | 2.21834i | −0.220979 | + | 0.142015i | ||||
\(245\) | −5.42209 | + | 0.106482i | −0.346405 | + | 0.00680286i | ||||
\(246\) | −0.614711 | − | 4.27541i | −0.0391926 | − | 0.272590i | ||||
\(247\) | 12.4839 | − | 10.8174i | 0.794333 | − | 0.688294i | ||||
\(248\) | 9.89518 | − | 15.3972i | 0.628344 | − | 0.977723i | ||||
\(249\) | 23.3087 | − | 26.8996i | 1.47713 | − | 1.70469i | ||||
\(250\) | −5.47844 | − | 2.12168i | −0.346487 | − | 0.134187i | ||||
\(251\) | 1.27745 | + | 2.79723i | 0.0806321 | + | 0.176560i | 0.945654 | − | 0.325174i | \(-0.105423\pi\) |
−0.865022 | + | 0.501734i | \(0.832696\pi\) | |||||||
\(252\) | − | 13.4593i | − | 0.847859i | ||||||
\(253\) | −4.32901 | + | 5.97842i | −0.272163 | + | 0.375860i | ||||
\(254\) | −3.48591 | −0.218725 | ||||||||
\(255\) | 3.57067 | + | 3.96089i | 0.223604 | + | 0.248040i | ||||
\(256\) | 1.73085 | − | 0.508224i | 0.108178 | − | 0.0317640i | ||||
\(257\) | −4.74288 | − | 4.10973i | −0.295853 | − | 0.256358i | 0.494267 | − | 0.869310i | \(-0.335436\pi\) |
−0.790120 | + | 0.612952i | \(0.789982\pi\) | |||||||
\(258\) | −7.24557 | + | 11.2743i | −0.451089 | + | 0.701909i | ||||
\(259\) | −16.7489 | − | 19.3293i | −1.04073 | − | 1.20106i | ||||
\(260\) | 8.65608 | − | 4.16040i | 0.536827 | − | 0.258017i | ||||
\(261\) | −7.14673 | − | 2.09847i | −0.442372 | − | 0.129892i | ||||
\(262\) | −0.181094 | − | 0.281787i | −0.0111880 | − | 0.0174089i | ||||
\(263\) | 6.29360 | + | 0.904884i | 0.388080 | + | 0.0557975i | 0.333594 | − | 0.942717i | \(-0.391739\pi\) |
0.0544867 | + | 0.998514i | \(0.482648\pi\) | |||||||
\(264\) | −2.94554 | + | 6.44984i | −0.181286 | + | 0.396960i | ||||
\(265\) | 1.06024 | + | 0.131247i | 0.0651299 | + | 0.00806245i | ||||
\(266\) | 1.52216 | − | 10.5868i | 0.0933295 | − | 0.649121i | ||||
\(267\) | 9.44970 | + | 14.7040i | 0.578312 | + | 0.899871i | ||||
\(268\) | −2.57152 | + | 8.75779i | −0.157081 | + | 0.534967i | ||||
\(269\) | 2.17960 | + | 15.1595i | 0.132893 | + | 0.924289i | 0.941757 | + | 0.336294i | \(0.109174\pi\) |
−0.808864 | + | 0.587995i | \(0.799917\pi\) | |||||||
\(270\) | −1.07644 | − | 0.662291i | −0.0655103 | − | 0.0403057i | ||||
\(271\) | −15.5629 | − | 10.0017i | −0.945379 | − | 0.607558i | −0.0254636 | − | 0.999676i | \(-0.508106\pi\) |
−0.919915 | + | 0.392118i | \(0.871743\pi\) | |||||||
\(272\) | 1.85224 | + | 1.60498i | 0.112309 | + | 0.0973161i | ||||
\(273\) | 5.07366 | + | 17.2793i | 0.307072 | + | 1.04579i | ||||
\(274\) | 3.68713 | + | 8.07369i | 0.222748 | + | 0.487749i | ||||
\(275\) | 6.30546 | − | 4.41142i | 0.380233 | − | 0.266019i | ||||
\(276\) | 15.7656 | + | 11.4159i | 0.948975 | + | 0.687159i | ||||
\(277\) | − | 11.8719i | − | 0.713316i | −0.934235 | − | 0.356658i | \(-0.883916\pi\) | ||
0.934235 | − | 0.356658i | \(-0.116084\pi\) | |||||||
\(278\) | −4.70372 | + | 2.14812i | −0.282111 | + | 0.128836i | ||||
\(279\) | 22.8235 | − | 6.70157i | 1.36640 | − | 0.401213i | ||||
\(280\) | 5.33932 | − | 12.3264i | 0.319085 | − | 0.736643i | ||||
\(281\) | 21.1782 | + | 13.6104i | 1.26339 | + | 0.811930i | 0.988744 | − | 0.149615i | \(-0.0478036\pi\) |
0.274644 | + | 0.961546i | \(0.411440\pi\) | |||||||
\(282\) | −5.62330 | + | 4.87262i | −0.334863 | + | 0.290160i | ||||
\(283\) | 27.0263 | − | 3.88580i | 1.60655 | − | 0.230987i | 0.720118 | − | 0.693851i | \(-0.244087\pi\) |
0.886429 | + | 0.462865i | \(0.153178\pi\) | |||||||
\(284\) | 14.6967 | + | 4.31533i | 0.872087 | + | 0.256068i | ||||
\(285\) | −26.8225 | − | 22.3350i | −1.58883 | − | 1.32301i | ||||
\(286\) | 0.286761 | − | 1.99446i | 0.0169565 | − | 0.117935i | ||||
\(287\) | −9.75009 | − | 4.45272i | −0.575530 | − | 0.262836i | ||||
\(288\) | 11.9945 | + | 5.47768i | 0.706780 | + | 0.322776i | ||||
\(289\) | −2.27333 | + | 15.8113i | −0.133725 | + | 0.930078i | ||||
\(290\) | −2.64455 | − | 2.20211i | −0.155294 | − | 0.129312i | ||||
\(291\) | 9.22695 | + | 2.70928i | 0.540894 | + | 0.158821i | ||||
\(292\) | −6.80226 | + | 0.978017i | −0.398072 | + | 0.0572341i | ||||
\(293\) | −15.8403 | + | 13.7257i | −0.925401 | + | 0.801864i | −0.980480 | − | 0.196617i | \(-0.937004\pi\) |
0.0550793 | + | 0.998482i | \(0.482459\pi\) | |||||||
\(294\) | 2.52417 | + | 1.62218i | 0.147212 | + | 0.0946076i | ||||
\(295\) | −7.22257 | + | 16.6741i | −0.420514 | + | 0.970803i | ||||
\(296\) | 15.6414 | − | 4.59274i | 0.909139 | − | 0.266947i | ||||
\(297\) | 1.50590 | − | 0.687722i | 0.0873812 | − | 0.0399057i | ||||
\(298\) | − | 0.345789i | − | 0.0200310i | ||||||
\(299\) | −11.2603 | − | 3.99741i | −0.651199 | − | 0.231176i | ||||
\(300\) | −11.6333 | − | 16.6280i | −0.671646 | − | 0.960017i | ||||
\(301\) | 13.8155 | + | 30.2518i | 0.796314 | + | 1.74368i | ||||
\(302\) | 0.653032 | + | 2.22402i | 0.0375778 | + | 0.127978i | ||||
\(303\) | 14.2957 | + | 12.3873i | 0.821269 | + | 0.711633i | ||||
\(304\) | −13.4950 | − | 8.67268i | −0.773989 | − | 0.497413i | ||||
\(305\) | −4.53301 | − | 2.78897i | −0.259560 | − | 0.159696i | ||||
\(306\) | −0.192644 | − | 1.33987i | −0.0110128 | − | 0.0765954i | ||||
\(307\) | 1.58859 | − | 5.41026i | 0.0906659 | − | 0.308780i | −0.901657 | − | 0.432451i | \(-0.857649\pi\) |
0.992323 | + | 0.123672i | \(0.0394669\pi\) | |||||||
\(308\) | 4.40378 | + | 6.85242i | 0.250929 | + | 0.390453i | ||||
\(309\) | 4.07409 | − | 28.3359i | 0.231767 | − | 1.61197i | ||||
\(310\) | 10.9069 | + | 1.35017i | 0.619471 | + | 0.0766844i | ||||
\(311\) | 1.59274 | − | 3.48762i | 0.0903161 | − | 0.197765i | −0.859083 | − | 0.511836i | \(-0.828966\pi\) |
0.949400 | + | 0.314071i | \(0.101693\pi\) | |||||||
\(312\) | −11.3616 | − | 1.63354i | −0.643221 | − | 0.0924813i | ||||
\(313\) | −5.85616 | − | 9.11237i | −0.331010 | − | 0.515061i | 0.635361 | − | 0.772216i | \(-0.280852\pi\) |
−0.966370 | + | 0.257154i | \(0.917215\pi\) | |||||||
\(314\) | −0.361399 | − | 0.106116i | −0.0203949 | − | 0.00598850i | ||||
\(315\) | 15.7351 | − | 7.56284i | 0.886575 | − | 0.426118i | ||||
\(316\) | −8.57500 | − | 9.89607i | −0.482381 | − | 0.556698i | ||||
\(317\) | −11.6299 | + | 18.0965i | −0.653201 | + | 1.01640i | 0.343803 | + | 0.939042i | \(0.388285\pi\) |
−0.997003 | + | 0.0773584i | \(0.975351\pi\) | |||||||
\(318\) | −0.446709 | − | 0.387075i | −0.0250502 | − | 0.0217061i | ||||
\(319\) | 4.32515 | − | 1.26998i | 0.242162 | − | 0.0711051i | ||||
\(320\) | −3.16587 | − | 3.51185i | −0.176978 | − | 0.196318i | ||||
\(321\) | −28.8424 | −1.60983 | ||||||||
\(322\) | −7.20513 | + | 2.81846i | −0.401526 | + | 0.157067i | ||||
\(323\) | 6.71589i | 0.373682i | ||||||||
\(324\) | −7.27719 | − | 15.9348i | −0.404288 | − | 0.885267i | ||||
\(325\) | 9.72775 | + | 7.78197i | 0.539599 | + | 0.431666i | ||||
\(326\) | −8.67589 | + | 10.0125i | −0.480513 | + | 0.554542i | ||||
\(327\) | 2.09682 | − | 3.26271i | 0.115954 | − | 0.180429i | ||||
\(328\) | 5.16318 | − | 4.47392i | 0.285089 | − | 0.247031i | ||||
\(329\) | 2.62776 | + | 18.2765i | 0.144873 | + | 1.00761i | ||||
\(330\) | −4.25686 | + | 0.0835982i | −0.234332 | + | 0.00460193i | ||||
\(331\) | −2.54261 | + | 1.63404i | −0.139755 | + | 0.0898148i | −0.608650 | − | 0.793439i | \(-0.708289\pi\) |
0.468895 | + | 0.883254i | \(0.344652\pi\) | |||||||
\(332\) | 25.7961 | + | 3.70893i | 1.41575 | + | 0.203554i | ||||
\(333\) | 19.2719 | + | 8.80119i | 1.05610 | + | 0.482302i | ||||
\(334\) | 1.23235 | − | 2.69848i | 0.0674313 | − | 0.147654i | ||||
\(335\) | −11.6836 | + | 1.91470i | −0.638342 | + | 0.104611i | ||||
\(336\) | 14.7124 | − | 9.45507i | 0.802626 | − | 0.515816i | ||||
\(337\) | −1.01201 | + | 3.44658i | −0.0551275 | + | 0.187747i | −0.982454 | − | 0.186507i | \(-0.940283\pi\) |
0.927326 | + | 0.374254i | \(0.122101\pi\) | |||||||
\(338\) | −3.53291 | + | 0.507956i | −0.192165 | + | 0.0276292i | ||||
\(339\) | −13.8859 | − | 16.0251i | −0.754177 | − | 0.870366i | ||||
\(340\) | −1.02629 | + | 3.76736i | −0.0556586 | + | 0.204314i | ||||
\(341\) | −9.42718 | + | 10.8795i | −0.510510 | + | 0.589160i | ||||
\(342\) | 2.49613 | + | 8.50105i | 0.134975 | + | 0.459684i | ||||
\(343\) | −12.7754 | + | 5.83435i | −0.689809 | + | 0.315025i | ||||
\(344\) | −21.1974 | −1.14288 | ||||||||
\(345\) | −4.48753 | + | 24.8460i | −0.241601 | + | 1.33766i | ||||
\(346\) | 8.10651 | 0.435809 | ||||||||
\(347\) | 23.3033 | − | 10.6423i | 1.25099 | − | 0.571307i | 0.323879 | − | 0.946098i | \(-0.395013\pi\) |
0.927109 | + | 0.374791i | \(0.122286\pi\) | |||||||
\(348\) | −3.34903 | − | 11.4057i | −0.179527 | − | 0.611412i | ||||
\(349\) | −17.5804 | + | 20.2888i | −0.941055 | + | 1.08604i | 0.0551047 | + | 0.998481i | \(0.482451\pi\) |
−0.996160 | + | 0.0875548i | \(0.972095\pi\) | |||||||
\(350\) | 8.05992 | − | 0.316691i | 0.430821 | − | 0.0169279i | ||||
\(351\) | 1.75500 | + | 2.02538i | 0.0936750 | + | 0.108107i | ||||
\(352\) | −7.89887 | + | 1.13569i | −0.421011 | + | 0.0605322i | ||||
\(353\) | −7.57423 | + | 25.7955i | −0.403135 | + | 1.37295i | 0.468788 | + | 0.883311i | \(0.344691\pi\) |
−0.871923 | + | 0.489643i | \(0.837127\pi\) | |||||||
\(354\) | 8.45766 | − | 5.43541i | 0.449519 | − | 0.288889i | ||||
\(355\) | 3.21310 | + | 19.6065i | 0.170534 | + | 1.04061i | ||||
\(356\) | −5.31644 | + | 11.6414i | −0.281771 | + | 0.616992i | ||||
\(357\) | −6.66009 | − | 3.04156i | −0.352490 | − | 0.160977i | ||||
\(358\) | 12.9536 | + | 1.86244i | 0.684618 | + | 0.0984331i | ||||
\(359\) | 9.14059 | − | 5.87430i | 0.482422 | − | 0.310034i | −0.276729 | − | 0.960948i | \(-0.589251\pi\) |
0.759151 | + | 0.650914i | \(0.225614\pi\) | |||||||
\(360\) | 0.218485 | + | 11.1254i | 0.0115152 | + | 0.586358i | ||||
\(361\) | −3.55175 | − | 24.7030i | −0.186934 | − | 1.30016i | ||||
\(362\) | 3.27809 | − | 2.84048i | 0.172293 | − | 0.149292i | ||||
\(363\) | −10.9865 | + | 17.0953i | −0.576641 | + | 0.897271i | ||||
\(364\) | −8.63502 | + | 9.96534i | −0.452598 | + | 0.522326i | ||||
\(365\) | −4.96560 | − | 7.40288i | −0.259911 | − | 0.387485i | ||||
\(366\) | 1.22326 | + | 2.67857i | 0.0639410 | + | 0.140011i | ||||
\(367\) | − | 8.18732i | − | 0.427375i | −0.976902 | − | 0.213687i | \(-0.931453\pi\) | ||
0.976902 | − | 0.213687i | \(-0.0685474\pi\) | |||||||
\(368\) | −0.643949 | + | 11.5858i | −0.0335682 | + | 0.603950i | ||||
\(369\) | 8.87900 | 0.462223 | ||||||||
\(370\) | 6.55423 | + | 7.27049i | 0.340738 | + | 0.377975i | ||||
\(371\) | −1.40738 | + | 0.413243i | −0.0730673 | + | 0.0214545i | ||||
\(372\) | 28.6902 | + | 24.8602i | 1.48752 | + | 1.28894i | ||||
\(373\) | 9.68809 | − | 15.0750i | 0.501630 | − | 0.780552i | −0.494431 | − | 0.869217i | \(-0.664624\pi\) |
0.996062 | + | 0.0886647i | \(0.0282600\pi\) | |||||||
\(374\) | 0.536474 | + | 0.619124i | 0.0277404 | + | 0.0320141i | ||||
\(375\) | 12.9028 | − | 22.9436i | 0.666298 | − | 1.18480i | ||||
\(376\) | −11.2921 | − | 3.31565i | −0.582344 | − | 0.170991i | ||||
\(377\) | 3.94517 | + | 6.13880i | 0.203186 | + | 0.316164i | ||||
\(378\) | 1.71760 | + | 0.246953i | 0.0883436 | + | 0.0127019i | ||||
\(379\) | 0.532421 | − | 1.16584i | 0.0273486 | − | 0.0598852i | −0.895465 | − | 0.445132i | \(-0.853157\pi\) |
0.922813 | + | 0.385247i | \(0.125884\pi\) | |||||||
\(380\) | 3.13972 | − | 25.3632i | 0.161064 | − | 1.30110i | ||||
\(381\) | 2.22278 | − | 15.4597i | 0.113876 | − | 0.792027i | ||||
\(382\) | −4.58328 | − | 7.13172i | −0.234501 | − | 0.364891i | ||||
\(383\) | 2.22024 | − | 7.56145i | 0.113449 | − | 0.386372i | −0.883119 | − | 0.469149i | \(-0.844561\pi\) |
0.996568 | + | 0.0827770i | \(0.0263789\pi\) | |||||||
\(384\) | 3.84689 | + | 26.7557i | 0.196311 | + | 1.36537i | ||||
\(385\) | −5.53658 | + | 8.99880i | −0.282170 | + | 0.458621i | ||||
\(386\) | 5.33075 | + | 3.42587i | 0.271328 | + | 0.174372i | ||||
\(387\) | −20.8202 | − | 18.0408i | −1.05835 | − | 0.917065i | ||||
\(388\) | 1.98373 | + | 6.75598i | 0.100709 | + | 0.342983i | ||||
\(389\) | −3.37997 | − | 7.40110i | −0.171371 | − | 0.375251i | 0.804386 | − | 0.594107i | \(-0.202495\pi\) |
−0.975757 | + | 0.218857i | \(0.929767\pi\) | |||||||
\(390\) | −2.07129 | − | 6.57380i | −0.104884 | − | 0.332877i | ||||
\(391\) | 4.22623 | − | 2.39556i | 0.213729 | − | 0.121149i | ||||
\(392\) | 4.74580i | 0.239699i | ||||||||
\(393\) | 1.36518 | − | 0.623456i | 0.0688642 | − | 0.0314492i | ||||
\(394\) | 10.4884 | − | 3.07967i | 0.528397 | − | 0.155151i | ||||
\(395\) | 6.75106 | − | 15.5856i | 0.339683 | − | 0.784194i | ||||
\(396\) | −5.67630 | − | 3.64793i | −0.285245 | − | 0.183316i | ||||
\(397\) | −10.1351 | + | 8.78210i | −0.508665 | + | 0.440761i | −0.870997 | − | 0.491288i | \(-0.836526\pi\) |
0.362332 | + | 0.932049i | \(0.381981\pi\) | |||||||
\(398\) | −3.61430 | + | 0.519658i | −0.181169 | + | 0.0260481i | ||||
\(399\) | 45.9813 | + | 13.5013i | 2.30194 | + | 0.675911i | ||||
\(400\) | 4.58961 | − | 11.1932i | 0.229481 | − | 0.559662i | ||||
\(401\) | 1.28352 | − | 8.92707i | 0.0640959 | − | 0.445797i | −0.932350 | − | 0.361558i | \(-0.882245\pi\) |
0.996446 | − | 0.0842389i | \(-0.0268459\pi\) | |||||||
\(402\) | 5.95850 | + | 2.72116i | 0.297183 | + | 0.135719i | ||||
\(403\) | −21.1981 | − | 9.68083i | −1.05595 | − | 0.482236i | ||||
\(404\) | −1.97110 | + | 13.7093i | −0.0980659 | + | 0.682063i | ||||
\(405\) | 14.5401 | − | 17.4615i | 0.722504 | − | 0.867668i | ||||
\(406\) | 4.53351 | + | 1.33116i | 0.224994 | + | 0.0660643i | ||||
\(407\) | −12.6914 | + | 1.82475i | −0.629089 | + | 0.0904494i | ||||
\(408\) | 3.52687 | − | 3.05605i | 0.174606 | − | 0.151297i | ||||
\(409\) | 10.8926 | + | 7.00028i | 0.538606 | + | 0.346141i | 0.781494 | − | 0.623913i | \(-0.214458\pi\) |
−0.242887 | + | 0.970055i | \(0.578094\pi\) | |||||||
\(410\) | 3.76433 | + | 1.63056i | 0.185907 | + | 0.0805278i | ||||
\(411\) | −38.1573 | + | 11.2040i | −1.88216 | + | 0.552652i | ||||
\(412\) | 19.0667 | − | 8.70748i | 0.939350 | − | 0.428987i | ||||
\(413\) | − | 24.9485i | − | 1.22764i | ||||||
\(414\) | 4.45923 | − | 4.60312i | 0.219159 | − | 0.226231i | ||||
\(415\) | 10.1589 | + | 32.2420i | 0.498680 | + | 1.58270i | ||||
\(416\) | −5.36646 | − | 11.7509i | −0.263112 | − | 0.576135i | ||||
\(417\) | −6.52744 | − | 22.2304i | −0.319650 | − | 1.08863i | ||||
\(418\) | −4.05230 | − | 3.51134i | −0.198205 | − | 0.171745i | ||||
\(419\) | −29.6874 | − | 19.0790i | −1.45033 | − | 0.932068i | −0.999216 | − | 0.0396003i | \(-0.987392\pi\) |
−0.451111 | − | 0.892468i | \(-0.648972\pi\) | |||||||
\(420\) | 23.7305 | + | 14.6004i | 1.15793 | + | 0.712426i | ||||
\(421\) | −1.72809 | − | 12.0192i | −0.0842222 | − | 0.585778i | −0.987607 | − | 0.156947i | \(-0.949835\pi\) |
0.903385 | − | 0.428831i | \(-0.141074\pi\) | |||||||
\(422\) | 0.546731 | − | 1.86199i | 0.0266144 | − | 0.0906405i | ||||
\(423\) | −8.26923 | − | 12.8672i | −0.402064 | − | 0.625624i | ||||
\(424\) | 0.133050 | − | 0.925383i | 0.00646148 | − | 0.0449406i | ||||
\(425\) | −4.98105 | + | 0.917064i | −0.241616 | + | 0.0444841i | ||||
\(426\) | 4.56644 | − | 9.99911i | 0.221245 | − | 0.484458i | ||||
\(427\) | 7.23297 | + | 1.03994i | 0.350028 | + | 0.0503264i | ||||
\(428\) | −11.4175 | − | 17.7659i | −0.551885 | − | 0.858749i | ||||
\(429\) | 8.66245 | + | 2.54352i | 0.418227 | + | 0.122803i | ||||
\(430\) | −5.51385 | − | 11.4720i | −0.265901 | − | 0.553231i | ||||
\(431\) | −0.506299 | − | 0.584300i | −0.0243876 | − | 0.0281448i | 0.743425 | − | 0.668820i | \(-0.233200\pi\) |
−0.767812 | + | 0.640675i | \(0.778655\pi\) | |||||||
\(432\) | 1.40705 | − | 2.18941i | 0.0676965 | − | 0.105338i | ||||
\(433\) | 1.30139 | + | 1.12766i | 0.0625407 | + | 0.0541918i | 0.685570 | − | 0.728006i | \(-0.259553\pi\) |
−0.623030 | + | 0.782198i | \(0.714098\pi\) | |||||||
\(434\) | −14.4780 | + | 4.25112i | −0.694966 | + | 0.204060i | ||||
\(435\) | 11.4525 | − | 10.3242i | 0.549105 | − | 0.495009i | ||||
\(436\) | 2.83976 | 0.136000 | ||||||||
\(437\) | −25.1486 | + | 19.4566i | −1.20302 | + | 0.930734i | ||||
\(438\) | 4.93190i | 0.235655i | ||||||||
\(439\) | 10.6923 | + | 23.4129i | 0.510315 | + | 1.11743i | 0.972977 | + | 0.230900i | \(0.0741671\pi\) |
−0.462662 | + | 0.886535i | \(0.653106\pi\) | |||||||
\(440\) | −3.75136 | − | 5.59265i | −0.178839 | − | 0.266619i | ||||
\(441\) | −4.03909 | + | 4.66136i | −0.192337 | + | 0.221969i | ||||
\(442\) | −0.716978 | + | 1.11564i | −0.0341032 | + | 0.0530656i | ||||
\(443\) | −1.69719 | + | 1.47062i | −0.0806358 | + | 0.0698713i | −0.694246 | − | 0.719738i | \(-0.744262\pi\) |
0.613610 | + | 0.789609i | \(0.289717\pi\) | |||||||
\(444\) | 4.81200 | + | 33.4682i | 0.228367 | + | 1.58833i | ||||
\(445\) | −16.5971 | + | 0.325942i | −0.786779 | + | 0.0154512i | ||||
\(446\) | −2.23426 | + | 1.43587i | −0.105795 | + | 0.0679905i | ||||
\(447\) | 1.53355 | + | 0.220491i | 0.0725343 | + | 0.0104289i | ||||
\(448\) | 5.90505 | + | 2.69675i | 0.278987 | + | 0.127409i | ||||
\(449\) | −2.53888 | + | 5.55938i | −0.119817 | + | 0.262363i | −0.960032 | − | 0.279891i | \(-0.909702\pi\) |
0.840215 | + | 0.542254i | \(0.182429\pi\) | |||||||
\(450\) | −5.96422 | + | 3.01217i | −0.281156 | + | 0.141995i | ||||
\(451\) | −4.52048 | + | 2.90513i | −0.212861 | + | 0.136797i | ||||
\(452\) | 4.37412 | − | 14.8969i | 0.205741 | − | 0.700691i | ||||
\(453\) | −10.2798 | + | 1.47801i | −0.482987 | + | 0.0694430i | ||||
\(454\) | −3.91881 | − | 4.52255i | −0.183919 | − | 0.212254i | ||||
\(455\) | −16.5024 | − | 4.49554i | −0.773645 | − | 0.210754i | ||||
\(456\) | −20.0025 | + | 23.0841i | −0.936703 | + | 1.08101i | ||||
\(457\) | −7.20377 | − | 24.5338i | −0.336978 | − | 1.14764i | −0.937486 | − | 0.348024i | \(-0.886853\pi\) |
0.600507 | − | 0.799619i | \(-0.294965\pi\) | |||||||
\(458\) | 7.87386 | − | 3.59587i | 0.367921 | − | 0.168024i | ||||
\(459\) | −1.08958 | −0.0508571 | ||||||||
\(460\) | −17.0807 | + | 7.07129i | −0.796391 | + | 0.329701i | ||||
\(461\) | −4.39468 | −0.204681 | −0.102340 | − | 0.994749i | \(-0.532633\pi\) | ||||
−0.102340 | + | 0.994749i | \(0.532633\pi\) | |||||||
\(462\) | 5.31742 | − | 2.42838i | 0.247389 | − | 0.112979i | ||||
\(463\) | 0.762267 | + | 2.59604i | 0.0354256 | + | 0.120648i | 0.975308 | − | 0.220851i | \(-0.0708835\pi\) |
−0.939882 | + | 0.341499i | \(0.889065\pi\) | |||||||
\(464\) | 4.64063 | − | 5.35557i | 0.215436 | − | 0.248626i | ||||
\(465\) | −12.9426 | + | 47.5104i | −0.600201 | + | 2.20324i | ||||
\(466\) | 2.21689 | + | 2.55843i | 0.102695 | + | 0.118517i | ||||
\(467\) | −0.202233 | + | 0.0290767i | −0.00935823 | + | 0.00134551i | −0.146992 | − | 0.989138i | \(-0.546959\pi\) |
0.137634 | + | 0.990483i | \(0.456050\pi\) | |||||||
\(468\) | 3.07732 | − | 10.4804i | 0.142249 | − | 0.484456i | ||||
\(469\) | 13.6748 | − | 8.78824i | 0.631442 | − | 0.405803i | ||||
\(470\) | −1.14285 | − | 6.97374i | −0.0527159 | − | 0.321675i | ||||
\(471\) | 0.701063 | − | 1.53511i | 0.0323033 | − | 0.0707343i | ||||
\(472\) | 14.4646 | + | 6.60577i | 0.665788 | + | 0.304055i | ||||
\(473\) | 16.5028 | + | 2.37274i | 0.758798 | + | 0.109099i | ||||
\(474\) | −7.90552 | + | 5.08057i | −0.363112 | + | 0.233358i | ||||
\(475\) | 31.4160 | − | 10.5811i | 1.44147 | − | 0.485492i | ||||
\(476\) | −0.762947 | − | 5.30642i | −0.0349696 | − | 0.243219i | ||||
\(477\) | 0.918264 | − | 0.795680i | 0.0420444 | − | 0.0364317i | ||||
\(478\) | −8.19502 | + | 12.7517i | −0.374831 | + | 0.583249i | ||||
\(479\) | 15.0671 | − | 17.3884i | 0.688434 | − | 0.794496i | −0.298707 | − | 0.954345i | \(-0.596555\pi\) |
0.987141 | + | 0.159849i | \(0.0511008\pi\) | |||||||
\(480\) | −22.6692 | + | 15.2057i | −1.03470 | + | 0.694042i | ||||
\(481\) | −8.62248 | − | 18.8806i | −0.393151 | − | 0.860881i | ||||
\(482\) | − | 5.45575i | − | 0.248503i | ||||||
\(483\) | −7.90535 | − | 33.7514i | −0.359706 | − | 1.53574i | ||||
\(484\) | −14.8792 | −0.676327 | ||||||||
\(485\) | −6.78366 | + | 6.11536i | −0.308030 | + | 0.277684i | ||||
\(486\) | −10.4356 | + | 3.06418i | −0.473370 | + | 0.138994i | ||||
\(487\) | 5.04925 | + | 4.37520i | 0.228803 | + | 0.198259i | 0.761716 | − | 0.647911i | \(-0.224357\pi\) |
−0.532913 | + | 0.846170i | \(0.678903\pi\) | |||||||
\(488\) | −2.51805 | + | 3.91817i | −0.113987 | + | 0.177367i | ||||
\(489\) | −38.8726 | − | 44.8614i | −1.75788 | − | 2.02870i | ||||
\(490\) | −2.56843 | + | 1.23447i | −0.116030 | + | 0.0557679i | ||||
\(491\) | 33.2530 | + | 9.76397i | 1.50069 | + | 0.440642i | 0.925934 | − | 0.377685i | \(-0.123280\pi\) |
0.574754 | + | 0.818326i | \(0.305098\pi\) | |||||||
\(492\) | 7.66107 | + | 11.9209i | 0.345388 | + | 0.537433i | ||||
\(493\) | −2.93659 | − | 0.422218i | −0.132257 | − | 0.0190157i | ||||
\(494\) | 3.60582 | − | 7.89564i | 0.162233 | − | 0.355241i | ||||
\(495\) | 1.07523 | − | 8.68587i | 0.0483278 | − | 0.390401i | ||||
\(496\) | −3.22071 | + | 22.4005i | −0.144614 | + | 1.00581i | ||||
\(497\) | −14.7478 | − | 22.9480i | −0.661528 | − | 1.02936i | ||||
\(498\) | 5.26930 | − | 17.9456i | 0.236123 | − | 0.804162i | ||||
\(499\) | −4.70441 | − | 32.7199i | −0.210598 | − | 1.46474i | −0.771166 | − | 0.636634i | \(-0.780326\pi\) |
0.560568 | − | 0.828109i | \(-0.310583\pi\) | |||||||
\(500\) | 19.2401 | − | 1.13471i | 0.860445 | − | 0.0507457i | ||||
\(501\) | 11.1817 | + | 7.18606i | 0.499563 | + | 0.321050i | ||||
\(502\) | 1.22120 | + | 1.05818i | 0.0545050 | + | 0.0472289i | ||||
\(503\) | −4.54106 | − | 15.4654i | −0.202476 | − | 0.689569i | −0.996643 | − | 0.0818698i | \(-0.973911\pi\) |
0.794167 | − | 0.607699i | \(-0.207907\pi\) | |||||||
\(504\) | −6.34662 | − | 13.8972i | −0.282701 | − | 0.619029i | ||||
\(505\) | −17.1349 | + | 5.39891i | −0.762495 | + | 0.240248i | ||||
\(506\) | −0.764183 | + | 3.80256i | −0.0339721 | + | 0.169045i | ||||
\(507\) | − | 15.9921i | − | 0.710234i | ||||||
\(508\) | 10.4026 | − | 4.75070i | 0.461540 | − | 0.210778i | ||||
\(509\) | 11.0638 | − | 3.24862i | 0.490393 | − | 0.143993i | −0.0271813 | − | 0.999631i | \(-0.508653\pi\) |
0.517575 | + | 0.855638i | \(0.326835\pi\) | |||||||
\(510\) | 2.57134 | + | 1.11381i | 0.113861 | + | 0.0493202i | ||||
\(511\) | 10.2959 | + | 6.61676i | 0.455463 | + | 0.292708i | ||||
\(512\) | −16.6372 | + | 14.4162i | −0.735268 | + | 0.637113i | ||||
\(513\) | 7.05894 | − | 1.01492i | 0.311660 | − | 0.0448099i | ||||
\(514\) | −3.16413 | − | 0.929072i | −0.139564 | − | 0.0409796i | ||||
\(515\) | 20.8935 | + | 17.3979i | 0.920676 | + | 0.766644i | ||||
\(516\) | 6.25710 | − | 43.5191i | 0.275453 | − | 1.91582i | ||||
\(517\) | 8.42006 | + | 3.84531i | 0.370314 | + | 0.169117i | ||||
\(518\) | −12.2251 | − | 5.58301i | −0.537139 | − | 0.245303i | ||||
\(519\) | −5.16909 | + | 35.9518i | −0.226898 | + | 1.57811i | ||||
\(520\) | 6.97585 | − | 8.37743i | 0.305911 | − | 0.367374i | ||||
\(521\) | 18.7400 | + | 5.50256i | 0.821014 | + | 0.241072i | 0.665153 | − | 0.746707i | \(-0.268366\pi\) |
0.155862 | + | 0.987779i | \(0.450185\pi\) | |||||||
\(522\) | −3.87410 | + | 0.557011i | −0.169565 | + | 0.0243797i | ||||
\(523\) | 7.20785 | − | 6.24564i | 0.315177 | − | 0.273103i | −0.482877 | − | 0.875688i | \(-0.660408\pi\) |
0.798054 | + | 0.602585i | \(0.205863\pi\) | |||||||
\(524\) | 0.924444 | + | 0.594104i | 0.0403845 | + | 0.0259536i | ||||
\(525\) | −3.73487 | + | 35.9471i | −0.163003 | + | 1.56886i | ||||
\(526\) | 3.20577 | − | 0.941299i | 0.139778 | − | 0.0410426i | ||||
\(527\) | 8.61839 | − | 3.93589i | 0.375423 | − | 0.171450i | ||||
\(528\) | − | 8.76739i | − | 0.381552i | ||||||
\(529\) | 21.2143 | + | 8.88554i | 0.922361 | + | 0.386328i | ||||
\(530\) | 0.535427 | − | 0.168703i | 0.0232575 | − | 0.00732801i | ||||
\(531\) | 8.58516 | + | 18.7989i | 0.372564 | + | 0.815802i | ||||
\(532\) | 9.88567 | + | 33.6675i | 0.428598 | + | 1.45967i | ||||
\(533\) | −6.57405 | − | 5.69644i | −0.284754 | − | 0.246740i | ||||
\(534\) | 7.72652 | + | 4.96553i | 0.334359 | + | 0.214880i | ||||
\(535\) | 14.3544 | − | 23.3308i | 0.620596 | − | 1.00868i | ||||
\(536\) | 1.47448 | + | 10.2553i | 0.0636879 | + | 0.442959i | ||||
\(537\) | −16.5196 | + | 56.2606i | −0.712873 | + | 2.42782i | ||||
\(538\) | 4.35095 | + | 6.77021i | 0.187583 | + | 0.291884i | ||||
\(539\) | 0.531224 | − | 3.69474i | 0.0228814 | − | 0.159144i | ||||
\(540\) | 4.11489 | + | 0.509384i | 0.177077 | + | 0.0219204i | ||||
\(541\) | 15.3460 | − | 33.6032i | 0.659778 | − | 1.44471i | −0.222951 | − | 0.974830i | \(-0.571569\pi\) |
0.882729 | − | 0.469883i | \(-0.155704\pi\) | |||||||
\(542\) | −9.62207 | − | 1.38344i | −0.413303 | − | 0.0594240i | ||||
\(543\) | 10.5071 | + | 16.3493i | 0.450901 | + | 0.701616i | ||||
\(544\) | 5.03938 | + | 1.47970i | 0.216062 | + | 0.0634414i | ||||
\(545\) | 1.59567 | + | 3.31993i | 0.0683510 | + | 0.142210i | ||||
\(546\) | 6.19700 | + | 7.15172i | 0.265207 | + | 0.306065i | ||||
\(547\) | −3.28103 | + | 5.10538i | −0.140287 | + | 0.218290i | −0.904287 | − | 0.426926i | \(-0.859596\pi\) |
0.764000 | + | 0.645216i | \(0.223233\pi\) | |||||||
\(548\) | −22.0061 | − | 19.0684i | −0.940055 | − | 0.814562i | ||||
\(549\) | −5.80795 | + | 1.70537i | −0.247877 | + | 0.0727833i | ||||
\(550\) | 2.05095 | − | 3.48500i | 0.0874527 | − | 0.148601i | ||||
\(551\) | 19.4183 | 0.827247 | ||||||||
\(552\) | 21.6615 | + | 4.35320i | 0.921973 | + | 0.185285i | ||||
\(553\) | 23.3198i | 0.991660i | ||||||||
\(554\) | −2.59151 | − | 5.67461i | −0.110103 | − | 0.241091i | ||||
\(555\) | −36.4234 | + | 24.4315i | −1.54609 | + | 1.03706i | ||||
\(556\) | 11.1092 | − | 12.8207i | 0.471137 | − | 0.543721i | ||||
\(557\) | −12.3856 | + | 19.2723i | −0.524793 | + | 0.816595i | −0.997924 | − | 0.0643976i | \(-0.979487\pi\) |
0.473131 | + | 0.880992i | \(0.343124\pi\) | |||||||
\(558\) | 9.44639 | − | 8.18534i | 0.399897 | − | 0.346513i | ||||
\(559\) | 3.84103 | + | 26.7149i | 0.162458 | + | 1.12992i | ||||
\(560\) | 0.326128 | + | 16.6066i | 0.0137814 | + | 0.701755i | ||||
\(561\) | −3.08785 | + | 1.98444i | −0.130369 | + | 0.0837831i | ||||
\(562\) | 13.0939 | + | 1.88261i | 0.552332 | + | 0.0794133i | ||||
\(563\) | −13.3397 | − | 6.09204i | −0.562201 | − | 0.256749i | 0.113981 | − | 0.993483i | \(-0.463640\pi\) |
−0.676182 | + | 0.736734i | \(0.736367\pi\) | |||||||
\(564\) | 10.1404 | − | 22.2044i | 0.426987 | − | 0.934972i | ||||
\(565\) | 19.8736 | − | 3.25688i | 0.836089 | − | 0.137018i | ||||
\(566\) | 12.0699 | − | 7.75687i | 0.507337 | − | 0.326046i | ||||
\(567\) | −8.78939 | + | 29.9339i | −0.369120 | + | 1.25711i | ||||
\(568\) | 17.2096 | − | 2.47437i | 0.722099 | − | 0.103822i | ||||
\(569\) | −8.74206 | − | 10.0889i | −0.366486 | − | 0.422948i | 0.542316 | − | 0.840175i | \(-0.317548\pi\) |
−0.908802 | + | 0.417227i | \(0.863002\pi\) | |||||||
\(570\) | −17.6962 | − | 4.82075i | −0.741212 | − | 0.201919i | ||||
\(571\) | −19.9506 | + | 23.0243i | −0.834908 | + | 0.963536i | −0.999740 | − | 0.0227861i | \(-0.992746\pi\) |
0.164832 | + | 0.986322i | \(0.447292\pi\) | |||||||
\(572\) | 1.86237 | + | 6.34265i | 0.0778696 | + | 0.265199i | ||||
\(573\) | 34.5512 | − | 15.7790i | 1.44340 | − | 0.659177i | ||||
\(574\) | −5.63237 | −0.235091 | ||||||||
\(575\) | −17.8647 | − | 15.9954i | −0.745007 | − | 0.667056i | ||||
\(576\) | −5.37748 | −0.224062 | ||||||||
\(577\) | 5.92612 | − | 2.70637i | 0.246708 | − | 0.112668i | −0.288224 | − | 0.957563i | \(-0.593065\pi\) |
0.534931 | + | 0.844896i | \(0.320337\pi\) | |||||||
\(578\) | 2.36481 | + | 8.05381i | 0.0983632 | + | 0.334994i | ||||
\(579\) | −18.5926 | + | 21.4570i | −0.772682 | + | 0.891723i | ||||
\(580\) | 10.8929 | + | 2.96742i | 0.452304 | + | 0.123215i | ||||
\(581\) | −30.3940 | − | 35.0765i | −1.26095 | − | 1.45522i | ||||
\(582\) | 5.00174 | − | 0.719142i | 0.207329 | − | 0.0298094i | ||||
\(583\) | −0.207167 | + | 0.705545i | −0.00857996 | + | 0.0292207i | ||||
\(584\) | −6.56235 | + | 4.21737i | −0.271552 | + | 0.174516i | ||||
\(585\) | 13.9816 | − | 2.29131i | 0.578070 | − | 0.0947338i | ||||
\(586\) | −4.57526 | + | 10.0184i | −0.189002 | + | 0.413857i | ||||
\(587\) | −13.8185 | − | 6.31069i | −0.570350 | − | 0.260470i | 0.109298 | − | 0.994009i | \(-0.465140\pi\) |
−0.679647 | + | 0.733539i | \(0.737867\pi\) | |||||||
\(588\) | −9.74333 | − | 1.40088i | −0.401808 | − | 0.0577713i | ||||
\(589\) | −52.1689 | + | 33.5269i | −2.14958 | + | 1.38145i | ||||
\(590\) | 0.187480 | + | 9.54656i | 0.00771843 | + | 0.393026i | ||||
\(591\) | 6.97022 | + | 48.4789i | 0.286717 | + | 1.99416i | ||||
\(592\) | −15.2335 | + | 13.1999i | −0.626092 | + | 0.542512i | ||||
\(593\) | 17.9256 | − | 27.8928i | 0.736116 | − | 1.14542i | −0.248149 | − | 0.968722i | \(-0.579822\pi\) |
0.984265 | − | 0.176697i | \(-0.0565413\pi\) | |||||||
\(594\) | 0.569676 | − | 0.657441i | 0.0233741 | − | 0.0269751i | ||||
\(595\) | 5.77496 | − | 3.87364i | 0.236750 | − | 0.158804i | ||||
\(596\) | 0.471251 | + | 1.03190i | 0.0193032 | + | 0.0422681i | ||||
\(597\) | − | 16.3605i | − | 0.669592i | ||||||
\(598\) | −6.25483 | + | 0.547285i | −0.255779 | + | 0.0223801i | ||||
\(599\) | 36.1116 | 1.47548 | 0.737740 | − | 0.675085i | \(-0.235893\pi\) | ||||
0.737740 | + | 0.675085i | \(0.235893\pi\) | |||||||
\(600\) | −19.8524 | − | 11.6833i | −0.810472 | − | 0.476969i | ||||
\(601\) | 18.2738 | − | 5.36568i | 0.745405 | − | 0.218871i | 0.113093 | − | 0.993584i | \(-0.463924\pi\) |
0.632312 | + | 0.774714i | \(0.282106\pi\) | |||||||
\(602\) | 13.2072 | + | 11.4441i | 0.538286 | + | 0.466428i | ||||
\(603\) | −7.27986 | + | 11.3277i | −0.296459 | + | 0.461299i | ||||
\(604\) | −4.97973 | − | 5.74692i | −0.202622 | − | 0.233839i | ||||
\(605\) | −8.36067 | − | 17.3951i | −0.339910 | − | 0.707211i | ||||
\(606\) | 9.53715 | + | 2.80036i | 0.387420 | + | 0.113757i | ||||
\(607\) | 3.45175 | + | 5.37103i | 0.140102 | + | 0.218004i | 0.904213 | − | 0.427082i | \(-0.140458\pi\) |
−0.764111 | + | 0.645085i | \(0.776822\pi\) | |||||||
\(608\) | −34.0265 | − | 4.89227i | −1.37996 | − | 0.198408i | ||||
\(609\) | −8.79436 | + | 19.2570i | −0.356366 | + | 0.780332i | ||||
\(610\) | −2.77551 | − | 0.343581i | −0.112377 | − | 0.0139112i | ||||
\(611\) | −2.13254 | + | 14.8321i | −0.0862733 | + | 0.600044i | ||||
\(612\) | 2.40090 | + | 3.73588i | 0.0970507 | + | 0.151014i | ||||
\(613\) | −0.242639 | + | 0.826353i | −0.00980010 | + | 0.0333761i | −0.964248 | − | 0.265002i | \(-0.914627\pi\) |
0.954448 | + | 0.298378i | \(0.0964456\pi\) | |||||||
\(614\) | −0.421672 | − | 2.93279i | −0.0170173 | − | 0.118358i | ||||
\(615\) | −9.63174 | + | 15.6548i | −0.388389 | + | 0.631263i | ||||
\(616\) | 7.77822 | + | 4.99876i | 0.313393 | + | 0.201406i | ||||
\(617\) | 2.20182 | + | 1.90789i | 0.0886418 | + | 0.0768086i | 0.698055 | − | 0.716045i | \(-0.254049\pi\) |
−0.609413 | + | 0.792853i | \(0.708595\pi\) | |||||||
\(618\) | −4.23805 | − | 14.4335i | −0.170479 | − | 0.580599i | ||||
\(619\) | −15.8446 | − | 34.6948i | −0.636848 | − | 1.39450i | −0.902608 | − | 0.430463i | \(-0.858350\pi\) |
0.265760 | − | 0.964039i | \(-0.414377\pi\) | |||||||
\(620\) | −34.3882 | + | 10.8351i | −1.38106 | + | 0.435148i | ||||
\(621\) | −3.15661 | − | 4.08008i | −0.126670 | − | 0.163728i | ||||
\(622\) | − | 2.01470i | − | 0.0807822i | ||||||
\(623\) | 20.7322 | − | 9.46807i | 0.830617 | − | 0.379330i | ||||
\(624\) | 13.6179 | − | 3.99857i | 0.545152 | − | 0.160071i | ||||
\(625\) | 12.1377 | + | 21.8558i | 0.485507 | + | 0.874233i | ||||
\(626\) | −4.78828 | − | 3.07724i | −0.191378 | − | 0.122991i | ||||
\(627\) | 18.1565 | − | 15.7327i | 0.725100 | − | 0.628302i | ||||
\(628\) | 1.22310 | − | 0.175855i | 0.0488070 | − | 0.00701738i | ||||
\(629\) | 8.09696 | + | 2.37748i | 0.322847 | + | 0.0947964i | ||||
\(630\) | 5.87028 | − | 7.04972i | 0.233877 | − | 0.280868i | ||||
\(631\) | −5.07436 | + | 35.2929i | −0.202007 | + | 1.40499i | 0.596311 | + | 0.802753i | \(0.296632\pi\) |
−0.798318 | + | 0.602236i | \(0.794277\pi\) | |||||||
\(632\) | −13.5203 | − | 6.17453i | −0.537810 | − | 0.245609i | ||||
\(633\) | 7.90919 | + | 3.61200i | 0.314362 | + | 0.143564i | ||||
\(634\) | −1.60867 | + | 11.1885i | −0.0638883 | + | 0.444353i | ||||
\(635\) | 11.3992 | + | 9.49210i | 0.452364 | + | 0.376682i | ||||
\(636\) | 1.86058 | + | 0.546314i | 0.0737766 | + | 0.0216628i | ||||
\(637\) | 5.98111 | − | 0.859954i | 0.236980 | − | 0.0340726i | ||||
\(638\) | 1.79013 | − | 1.55116i | 0.0708720 | − | 0.0614109i | ||||
\(639\) | 19.0093 | + | 12.2165i | 0.751996 | + | 0.483278i | ||||
\(640\) | −23.5573 | − | 10.2041i | −0.931185 | − | 0.403353i | ||||
\(641\) | −34.3483 | + | 10.0856i | −1.35668 | + | 0.398357i | −0.877591 | − | 0.479411i | \(-0.840850\pi\) |
−0.479087 | + | 0.877767i | \(0.659032\pi\) | |||||||
\(642\) | −13.7862 | + | 6.29596i | −0.544099 | + | 0.248482i | ||||
\(643\) | 32.2543i | 1.27198i | 0.771695 | + | 0.635992i | \(0.219409\pi\) | ||||
−0.771695 | + | 0.635992i | \(0.780591\pi\) | |||||||
\(644\) | 17.6603 | − | 18.2302i | 0.695914 | − | 0.718369i | ||||
\(645\) | 54.3935 | − | 17.1384i | 2.14174 | − | 0.674824i | ||||
\(646\) | 1.46600 | + | 3.21009i | 0.0576790 | + | 0.126299i | ||||
\(647\) | −7.66212 | − | 26.0948i | −0.301229 | − | 1.02589i | −0.961486 | − | 0.274853i | \(-0.911371\pi\) |
0.660257 | − | 0.751040i | \(-0.270447\pi\) | |||||||
\(648\) | −15.0278 | − | 13.0217i | −0.590348 | − | 0.511540i | ||||
\(649\) | −10.5217 | − | 6.76189i | −0.413013 | − | 0.265428i | ||||
\(650\) | 6.34843 | + | 1.59621i | 0.249006 | + | 0.0626084i | ||||
\(651\) | −9.62158 | − | 66.9195i | −0.377099 | − | 2.62278i | ||||
\(652\) | 12.2451 | − | 41.7029i | 0.479554 | − | 1.63321i | ||||
\(653\) | −19.6286 | − | 30.5427i | −0.768128 | − | 1.19523i | −0.976148 | − | 0.217106i | \(-0.930338\pi\) |
0.208020 | − | 0.978124i | \(-0.433298\pi\) | |||||||
\(654\) | 0.290035 | − | 2.01724i | 0.0113413 | − | 0.0788802i | ||||
\(655\) | −0.175112 | + | 1.41458i | −0.00684219 | + | 0.0552724i | ||||
\(656\) | −3.50920 | + | 7.68408i | −0.137011 | + | 0.300013i | ||||
\(657\) | −10.0349 | − | 1.44281i | −0.391500 | − | 0.0562892i | ||||
\(658\) | 5.24556 | + | 8.16225i | 0.204493 | + | 0.318198i | ||||
\(659\) | 8.72342 | + | 2.56143i | 0.339816 | + | 0.0997791i | 0.447188 | − | 0.894440i | \(-0.352425\pi\) |
−0.107372 | + | 0.994219i | \(0.534244\pi\) | |||||||
\(660\) | 12.5893 | − | 6.05084i | 0.490038 | − | 0.235529i | ||||
\(661\) | 7.75591 | + | 8.95079i | 0.301670 | + | 0.348145i | 0.886264 | − | 0.463180i | \(-0.153292\pi\) |
−0.584594 | + | 0.811326i | \(0.698746\pi\) | |||||||
\(662\) | −0.858638 | + | 1.33607i | −0.0333719 | + | 0.0519277i | ||||
\(663\) | −4.49060 | − | 3.89113i | −0.174400 | − | 0.151119i | ||||
\(664\) | 28.3842 | − | 8.33435i | 1.10152 | − | 0.323435i | ||||
\(665\) | −33.8055 | + | 30.4751i | −1.31092 | + | 1.18177i | ||||
\(666\) | 11.1329 | 0.431390 | ||||||||
\(667\) | −6.92652 | − | 12.2197i | −0.268196 | − | 0.473148i | ||||
\(668\) | 9.73222i | 0.376551i | ||||||||
\(669\) | −4.94332 | − | 10.8244i | −0.191120 | − | 0.418494i | ||||
\(670\) | −5.16661 | + | 3.46558i | −0.199604 | + | 0.133887i | ||||
\(671\) | 2.39896 | − | 2.76855i | 0.0926108 | − | 0.106879i | ||||
\(672\) | 20.2619 | − | 31.5281i | 0.781619 | − | 1.21622i | ||||
\(673\) | −1.91911 | + | 1.66292i | −0.0739764 | + | 0.0641009i | −0.691064 | − | 0.722793i | \(-0.742858\pi\) |
0.617088 | + | 0.786894i | \(0.288312\pi\) | |||||||
\(674\) | 0.268624 | + | 1.86832i | 0.0103470 | + | 0.0719649i | ||||
\(675\) | 1.71666 | + | 5.09690i | 0.0660742 | + | 0.196180i | ||||
\(676\) | 9.85058 | − | 6.33059i | 0.378869 | − | 0.243484i | ||||
\(677\) | 23.8649 | + | 3.43125i | 0.917201 | + | 0.131874i | 0.584719 | − | 0.811236i | \(-0.301205\pi\) |
0.332482 | + | 0.943109i | \(0.392114\pi\) | |||||||
\(678\) | −10.1353 | − | 4.62865i | −0.389245 | − | 0.177762i | ||||
\(679\) | 5.20917 | − | 11.4065i | 0.199910 | − | 0.437741i | ||||
\(680\) | 0.716784 | + | 4.37385i | 0.0274874 | + | 0.167729i | ||||
\(681\) | 22.5560 | − | 14.4959i | 0.864348 | − | 0.555482i | ||||
\(682\) | −2.13117 | + | 7.25810i | −0.0816067 | + | 0.277927i | ||||
\(683\) | 7.78103 | − | 1.11874i | 0.297733 | − | 0.0428075i | 0.00817029 | − | 0.999967i | \(-0.497399\pi\) |
0.289562 | + | 0.957159i | \(0.406490\pi\) | |||||||
\(684\) | −19.0344 | − | 21.9669i | −0.727798 | − | 0.839924i | ||||
\(685\) | 9.92734 | − | 36.4417i | 0.379304 | − | 1.39236i | ||||
\(686\) | −4.83289 | + | 5.57746i | −0.184521 | + | 0.212948i | ||||
\(687\) | 10.9267 | + | 37.2129i | 0.416879 | + | 1.41976i | ||||
\(688\) | 23.8415 | − | 10.8881i | 0.908950 | − | 0.415104i | ||||
\(689\) | −1.19037 | −0.0453493 | ||||||||
\(690\) | 3.27861 | + | 12.8556i | 0.124815 | + | 0.489403i | ||||
\(691\) | 2.06699 | 0.0786319 | 0.0393159 | − | 0.999227i | \(-0.487482\pi\) | ||||
0.0393159 | + | 0.999227i | \(0.487482\pi\) | |||||||
\(692\) | −24.1913 | + | 11.0478i | −0.919615 | + | 0.419974i | ||||
\(693\) | 3.38544 | + | 11.5298i | 0.128602 | + | 0.437979i | ||||
\(694\) | 8.81555 | − | 10.1737i | 0.334634 | − | 0.386188i | ||||
\(695\) | 21.2309 | + | 5.78366i | 0.805334 | + | 0.219387i | ||||
\(696\) | −8.83624 | − | 10.1976i | −0.334937 | − | 0.386538i | ||||
\(697\) | 3.50059 | − | 0.503310i | 0.132594 | − | 0.0190642i | ||||
\(698\) | −3.97433 | + | 13.5353i | −0.150431 | + | 0.512320i | ||||
\(699\) | −12.7600 | + | 8.20037i | −0.482628 | + | 0.310166i | ||||
\(700\) | −23.6207 | + | 11.9294i | −0.892777 | + | 0.450887i | ||||
\(701\) | 14.2799 | − | 31.2686i | 0.539344 | − | 1.18100i | −0.422239 | − | 0.906484i | \(-0.638756\pi\) |
0.961583 | − | 0.274514i | \(-0.0885169\pi\) | |||||||
\(702\) | 1.28098 | + | 0.585003i | 0.0483474 | + | 0.0220795i | ||||
\(703\) | −54.6716 | − | 7.86058i | −2.06198 | − | 0.296467i | ||||
\(704\) | 2.73778 | − | 1.75947i | 0.103184 | − | 0.0663124i | ||||
\(705\) | 31.6568 | − | 0.621691i | 1.19226 | − | 0.0234142i | ||||
\(706\) | 2.01048 | + | 13.9832i | 0.0756654 | + | 0.526264i | ||||
\(707\) | 18.6413 | − | 16.1528i | 0.701079 | − | 0.607488i | ||||
\(708\) | −17.8316 | + | 27.7466i | −0.670154 | + | 1.04278i | ||||
\(709\) | 6.80487 | − | 7.85324i | 0.255562 | − | 0.294935i | −0.613441 | − | 0.789740i | \(-0.710215\pi\) |
0.869004 | + | 0.494806i | \(0.164761\pi\) | |||||||
\(710\) | 5.81568 | + | 8.67022i | 0.218259 | + | 0.325388i | ||||
\(711\) | −8.02470 | − | 17.5716i | −0.300950 | − | 0.658988i | ||||
\(712\) | 14.5270i | 0.544422i | ||||||||
\(713\) | 39.7068 | + | 20.8702i | 1.48703 | + | 0.781594i | ||||
\(714\) | −3.84736 | −0.143984 | ||||||||
\(715\) | −6.36864 | + | 5.74123i | −0.238174 | + | 0.214710i | ||||
\(716\) | −41.1940 | + | 12.0956i | −1.53949 | + | 0.452035i | ||||
\(717\) | −51.3273 | − | 44.4754i | −1.91685 | − | 1.66096i | ||||
\(718\) | 3.08677 | − | 4.80311i | 0.115197 | − | 0.179250i | ||||
\(719\) | −5.56998 | − | 6.42810i | −0.207725 | − | 0.239728i | 0.642321 | − | 0.766436i | \(-0.277972\pi\) |
−0.850046 | + | 0.526708i | \(0.823426\pi\) | |||||||
\(720\) | −5.96030 | − | 12.4009i | −0.222127 | − | 0.462155i | ||||
\(721\) | −35.8173 | − | 10.5169i | −1.33390 | − | 0.391670i | ||||
\(722\) | −7.09005 | − | 11.0323i | −0.263864 | − | 0.410581i | ||||
\(723\) | 24.1959 | + | 3.47884i | 0.899854 | + | 0.129379i | ||||
\(724\) | −5.91132 | + | 12.9440i | −0.219692 | + | 0.481059i | ||||
\(725\) | 2.65159 | + | 14.4022i | 0.0984777 | + | 0.534884i | ||||
\(726\) | −1.51967 | + | 10.5695i | −0.0564001 | + | 0.392271i | ||||
\(727\) | 0.180663 | + | 0.281118i | 0.00670043 | + | 0.0104261i | 0.844588 | − | 0.535417i | \(-0.179846\pi\) |
−0.837887 | + | 0.545843i | \(0.816209\pi\) | |||||||
\(728\) | −4.21685 | + | 14.3613i | −0.156287 | + | 0.532264i | ||||
\(729\) | −2.59661 | − | 18.0598i | −0.0961708 | − | 0.668883i | ||||
\(730\) | −3.98944 | − | 2.45453i | −0.147656 | − | 0.0908463i | ||||
\(731\) | −9.23112 | − | 5.93248i | −0.341425 | − | 0.219421i | ||||
\(732\) | −7.30088 | − | 6.32624i | −0.269848 | − | 0.233825i | ||||
\(733\) | −8.10144 | − | 27.5910i | −0.299233 | − | 1.01910i | −0.962628 | − | 0.270826i | \(-0.912703\pi\) |
0.663395 | − | 0.748270i | \(-0.269115\pi\) | |||||||
\(734\) | −1.78720 | − | 3.91341i | −0.0659666 | − | 0.144447i | ||||
\(735\) | −3.83705 | − | 12.1780i | −0.141532 | − | 0.449191i | ||||
\(736\) | 9.05863 | + | 23.1575i | 0.333905 | + | 0.853597i | ||||
\(737\) | − | 8.14906i | − | 0.300175i | ||||||
\(738\) | 4.24403 | − | 1.93818i | 0.156225 | − | 0.0713455i | ||||
\(739\) | 36.4744 | − | 10.7099i | 1.34173 | − | 0.393968i | 0.469445 | − | 0.882962i | \(-0.344454\pi\) |
0.872288 | + | 0.488993i | \(0.162636\pi\) | |||||||
\(740\) | −29.4675 | − | 12.7642i | −1.08325 | − | 0.469220i | ||||
\(741\) | 32.7173 | + | 21.0262i | 1.20190 | + | 0.772415i | ||||
\(742\) | −0.582498 | + | 0.504737i | −0.0213842 | + | 0.0185295i | ||||
\(743\) | −16.2257 | + | 2.33291i | −0.595264 | + | 0.0855860i | −0.433361 | − | 0.901221i | \(-0.642672\pi\) |
−0.161903 | + | 0.986807i | \(0.551763\pi\) | |||||||
\(744\) | 41.3461 | + | 12.1403i | 1.51582 | + | 0.445085i | ||||
\(745\) | −0.941579 | + | 1.13076i | −0.0344968 | + | 0.0414278i | ||||
\(746\) | 1.34007 | − | 9.32039i | 0.0490635 | − | 0.341244i | ||||
\(747\) | 34.9724 | + | 15.9714i | 1.27957 | + | 0.584361i | ||||
\(748\) | −2.44469 | − | 1.11645i | −0.0893869 | − | 0.0408216i | ||||
\(749\) | −5.35244 | + | 37.2270i | −0.195574 | + | 1.36025i | ||||
\(750\) | 1.15902 | − | 13.7832i | 0.0423214 | − | 0.503292i | ||||
\(751\) | −43.4954 | − | 12.7714i | −1.58717 | − | 0.466035i | −0.635230 | − | 0.772323i | \(-0.719095\pi\) |
−0.951939 | + | 0.306288i | \(0.900913\pi\) | |||||||
\(752\) | 14.4037 | − | 2.07094i | 0.525250 | − | 0.0755196i | ||||
\(753\) | −5.47165 | + | 4.74121i | −0.199398 | + | 0.172779i | ||||
\(754\) | 3.22575 | + | 2.07307i | 0.117475 | + | 0.0754966i | ||||
\(755\) | 3.92052 | − | 9.05095i | 0.142682 | − | 0.329398i | ||||
\(756\) | −5.46217 | + | 1.60384i | −0.198657 | + | 0.0583310i | ||||
\(757\) | −17.9408 | + | 8.19331i | −0.652071 | + | 0.297791i | −0.713850 | − | 0.700299i | \(-0.753050\pi\) |
0.0617787 | + | 0.998090i | \(0.480323\pi\) | |||||||
\(758\) | − | 0.673475i | − | 0.0244617i | ||||||
\(759\) | −16.3768 | − | 5.81379i | −0.594441 | − | 0.211027i | ||||
\(760\) | −8.71792 | − | 27.6687i | −0.316232 | − | 1.00365i | ||||
\(761\) | 0.991707 | + | 2.17153i | 0.0359493 | + | 0.0787181i | 0.926755 | − | 0.375667i | \(-0.122586\pi\) |
−0.890805 | + | 0.454385i | \(0.849859\pi\) | |||||||
\(762\) | −2.31223 | − | 7.87472i | −0.0837632 | − | 0.285271i | ||||
\(763\) | −3.82208 | − | 3.31185i | −0.138369 | − | 0.119897i | ||||
\(764\) | 23.3966 | + | 15.0361i | 0.846461 | + | 0.543987i | ||||
\(765\) | −3.01849 | + | 4.90607i | −0.109134 | + | 0.177379i | ||||
\(766\) | −0.589334 | − | 4.09891i | −0.0212935 | − | 0.148100i | ||||
\(767\) | 5.70419 | − | 19.4267i | 0.205966 | − | 0.701457i | ||||
\(768\) | 2.29617 | + | 3.57291i | 0.0828559 | + | 0.128926i | ||||
\(769\) | 0.273803 | − | 1.90434i | 0.00987359 | − | 0.0686723i | −0.984289 | − | 0.176565i | \(-0.943501\pi\) |
0.994163 | + | 0.107893i | \(0.0344104\pi\) | |||||||
\(770\) | −0.682067 | + | 5.50986i | −0.0245800 | + | 0.198561i | ||||
\(771\) | 6.13796 | − | 13.4403i | 0.221053 | − | 0.484039i | ||||
\(772\) | −20.5768 | − | 2.95850i | −0.740575 | − | 0.106479i | ||||
\(773\) | 26.9567 | + | 41.9454i | 0.969565 | + | 1.50867i | 0.857186 | + | 0.515006i | \(0.172210\pi\) |
0.112378 | + | 0.993666i | \(0.464153\pi\) | |||||||
\(774\) | −13.8898 | − | 4.07842i | −0.499259 | − | 0.146596i | ||||
\(775\) | −31.9900 | − | 34.1146i | −1.14912 | − | 1.22543i | ||||
\(776\) | 5.23398 | + | 6.04033i | 0.187889 | + | 0.216835i | ||||
\(777\) | 32.5555 | − | 50.6574i | 1.16792 | − | 1.81732i | ||||
\(778\) | −3.23115 | − | 2.79981i | −0.115842 | − | 0.100378i | ||||
\(779\) | −22.2101 | + | 6.52148i | −0.795761 | + | 0.233656i | ||||
\(780\) | 15.1401 | + | 16.7946i | 0.542101 | + | 0.601343i | ||||
\(781\) | −13.6751 | −0.489335 | ||||||||
\(782\) | 1.49715 | − | 2.06758i | 0.0535379 | − | 0.0739364i | ||||
\(783\) | 3.15040i | 0.112586i | ||||||||
\(784\) | −2.43769 | − | 5.33780i | −0.0870603 | − | 0.190636i | ||||
\(785\) | 0.892853 | + | 1.33110i | 0.0318673 | + | 0.0475089i | ||||
\(786\) | 0.516441 | − | 0.596005i | 0.0184208 | − | 0.0212588i | ||||
\(787\) | −9.82653 | + | 15.2904i | −0.350278 | + | 0.545043i | −0.971028 | − | 0.238965i | \(-0.923192\pi\) |
0.620750 | + | 0.784009i | \(0.286828\pi\) | |||||||
\(788\) | −27.1022 | + | 23.4842i | −0.965475 | + | 0.836589i | ||||
\(789\) | 2.13045 | + | 14.8176i | 0.0758459 | + | 0.527520i | ||||
\(790\) | −0.175241 | − | 8.92333i | −0.00623478 | − | 0.317478i | ||||
\(791\) | −23.2606 | + | 14.9487i | −0.827052 | + | 0.531514i | ||||
\(792\) | −7.58109 | − | 1.09000i | −0.269382 | − | 0.0387313i | ||||
\(793\) | 5.39433 | + | 2.46351i | 0.191558 | + | 0.0874817i | ||||
\(794\) | −2.92738 | + | 6.41008i | −0.103889 | + | 0.227485i | ||||
\(795\) | 0.406774 | + | 2.48215i | 0.0144268 | + | 0.0880329i | ||||
\(796\) | 10.0775 | − | 6.47643i | 0.357188 | − | 0.229551i | ||||
\(797\) | −3.13318 | + | 10.6706i | −0.110983 | + | 0.377973i | −0.996188 | − | 0.0872273i | \(-0.972199\pi\) |
0.885206 | + | 0.465200i | \(0.154018\pi\) | |||||||
\(798\) | 24.9255 | − | 3.58375i | 0.882353 | − | 0.126863i | ||||
\(799\) | −3.98957 | − | 4.60421i | −0.141141 | − | 0.162885i | ||||
\(800\) | −1.01786 | − | 25.9048i | −0.0359867 | − | 0.915875i | ||||
\(801\) | −12.3637 | + | 14.2685i | −0.436851 | + | 0.504153i | ||||
\(802\) | −1.33517 | − | 4.54718i | −0.0471466 | − | 0.160566i | ||||
\(803\) | 5.58106 | − | 2.54878i | 0.196951 | − | 0.0899446i | ||||
\(804\) | −21.4897 | −0.757884 | ||||||||
\(805\) | 31.2360 | + | 10.4029i | 1.10093 | + | 0.366653i | ||||
\(806\) | −12.2456 | −0.431331 | ||||||||
\(807\) | −32.7997 | + | 14.9791i | −1.15461 | + | 0.527291i | ||||
\(808\) | 4.42927 | + | 15.0847i | 0.155821 | + | 0.530678i | ||||
\(809\) | −18.6232 | + | 21.4923i | −0.654756 | + | 0.755629i | −0.981911 | − | 0.189342i | \(-0.939365\pi\) |
0.327155 | + | 0.944971i | \(0.393910\pi\) | |||||||
\(810\) | 3.13832 | − | 11.5203i | 0.110269 | − | 0.404781i | ||||
\(811\) | 5.89977 | + | 6.80870i | 0.207169 | + | 0.239086i | 0.849820 | − | 0.527074i | \(-0.176711\pi\) |
−0.642651 | + | 0.766159i | \(0.722165\pi\) | |||||||
\(812\) | −15.3429 | + | 2.20598i | −0.538432 | + | 0.0774148i | ||||
\(813\) | 12.2709 | − | 41.7910i | 0.430361 | − | 1.46567i | ||||
\(814\) | −5.66797 | + | 3.64258i | −0.198662 | + | 0.127672i | ||||
\(815\) | 55.6349 | − | 9.11742i | 1.94880 | − | 0.319369i | ||||
\(816\) | −2.39707 | + | 5.24884i | −0.0839141 | + | 0.183746i | ||||
\(817\) | 65.3307 | + | 29.8356i | 2.28563 | + | 1.04381i | ||||
\(818\) | 6.73459 | + | 0.968288i | 0.235469 | + | 0.0338554i | ||||
\(819\) | −16.3645 | + | 10.5168i | −0.571822 | + | 0.367488i | ||||
\(820\) | −13.4556 | + | 0.264248i | −0.469891 | + | 0.00922795i | ||||
\(821\) | −0.131655 | − | 0.915677i | −0.00459477 | − | 0.0319574i | 0.987395 | − | 0.158275i | \(-0.0505932\pi\) |
−0.991990 | + | 0.126318i | \(0.959684\pi\) | |||||||
\(822\) | −15.7929 | + | 13.6846i | −0.550840 | + | 0.477306i | ||||
\(823\) | −15.2019 | + | 23.6547i | −0.529907 | + | 0.824551i | −0.998259 | − | 0.0589912i | \(-0.981212\pi\) |
0.468352 | + | 0.883542i | \(0.344848\pi\) | |||||||
\(824\) | 15.5810 | − | 17.9815i | 0.542790 | − | 0.626414i | ||||
\(825\) | 14.1479 | + | 11.3180i | 0.492567 | + | 0.394042i | ||||
\(826\) | −5.44597 | − | 11.9250i | −0.189490 | − | 0.414924i | ||||
\(827\) | 23.9505i | 0.832840i | 0.909172 | + | 0.416420i | \(0.136715\pi\) | ||||
−0.909172 | + | 0.416420i | \(0.863285\pi\) | |||||||
\(828\) | −7.03389 | + | 19.8137i | −0.244445 | + | 0.688574i | ||||
\(829\) | 16.1895 | 0.562283 | 0.281142 | − | 0.959666i | \(-0.409287\pi\) | ||||
0.281142 | + | 0.959666i | \(0.409287\pi\) | |||||||
\(830\) | 11.8938 | + | 13.1936i | 0.412841 | + | 0.457957i | ||||
\(831\) | 26.8189 | − | 7.87475i | 0.930338 | − | 0.273172i | ||||
\(832\) | 3.98151 | + | 3.45000i | 0.138034 | + | 0.119607i | ||||
\(833\) | −1.32820 | + | 2.06672i | −0.0460194 | + | 0.0716076i | ||||
\(834\) | −7.97265 | − | 9.20093i | −0.276070 | − | 0.318602i | ||||
\(835\) | −11.3778 | + | 5.46857i | −0.393746 | + | 0.189248i | ||||
\(836\) | 16.8782 | + | 4.95587i | 0.583743 | + | 0.171402i | ||||
\(837\) | −5.43937 | − | 8.46382i | −0.188012 | − | 0.292552i | ||||
\(838\) | −18.3548 | − | 2.63903i | −0.634058 | − | 0.0911637i | ||||
\(839\) | 2.37584 | − | 5.20236i | 0.0820230 | − | 0.179605i | −0.864177 | − | 0.503188i | \(-0.832160\pi\) |
0.946200 | + | 0.323583i | \(0.104887\pi\) | |||||||
\(840\) | 31.3871 | + | 3.88542i | 1.08296 | + | 0.134060i | ||||
\(841\) | 2.90633 | − | 20.2140i | 0.100218 | − | 0.697034i | ||||
\(842\) | −3.44964 | − | 5.36775i | −0.118883 | − | 0.184985i | ||||
\(843\) | −16.6985 | + | 56.8699i | −0.575127 | + | 1.95870i | ||||
\(844\) | 0.906037 | + | 6.30163i | 0.0311871 | + | 0.216911i | ||||
\(845\) | 12.9361 | + | 7.95902i | 0.445015 | + | 0.273799i | ||||
\(846\) | −6.76132 | − | 4.34523i | −0.232459 | − | 0.149392i | ||||
\(847\) | 20.0262 | + | 17.3528i | 0.688107 | + | 0.596248i | ||||
\(848\) | 0.325678 | + | 1.10916i | 0.0111838 | + | 0.0380886i | ||||
\(849\) | 26.7048 | + | 58.4754i | 0.916507 | + | 2.00687i | ||||
\(850\) | −2.18068 | + | 1.52565i | −0.0747967 | + | 0.0523292i | ||||
\(851\) | 14.5548 | + | 37.2080i | 0.498933 | + | 1.27547i | ||||
\(852\) | 36.0624i | 1.23548i | ||||||||
\(853\) | −7.15627 | + | 3.26816i | −0.245026 | + | 0.111900i | −0.534143 | − | 0.845394i | \(-0.679366\pi\) |
0.289117 | + | 0.957294i | \(0.406638\pi\) | |||||||
\(854\) | 3.68425 | − | 1.08179i | 0.126073 | − | 0.0370182i | ||||
\(855\) | 14.9857 | − | 34.5961i | 0.512500 | − | 1.18316i | ||||
\(856\) | −20.1662 | − | 12.9601i | −0.689268 | − | 0.442965i | ||||
\(857\) | 21.5800 | − | 18.6992i | 0.737158 | − | 0.638751i | −0.203122 | − | 0.979154i | \(-0.565109\pi\) |
0.940280 | + | 0.340402i | \(0.110563\pi\) | |||||||
\(858\) | 4.69574 | − | 0.675145i | 0.160310 | − | 0.0230491i | ||||
\(859\) | 36.3981 | + | 10.6875i | 1.24189 | + | 0.364651i | 0.835724 | − | 0.549149i | \(-0.185048\pi\) |
0.406164 | + | 0.913800i | \(0.366866\pi\) | |||||||
\(860\) | 32.0887 | + | 26.7202i | 1.09422 | + | 0.911150i | ||||
\(861\) | 3.59146 | − | 24.9791i | 0.122397 | − | 0.851287i | ||||
\(862\) | −0.369549 | − | 0.168767i | −0.0125869 | − | 0.00574824i | ||||
\(863\) | 37.7563 | + | 17.2427i | 1.28524 | + | 0.586949i | 0.936631 | − | 0.350319i | \(-0.113927\pi\) |
0.348609 | + | 0.937268i | \(0.386654\pi\) | |||||||
\(864\) | 0.793715 | − | 5.52041i | 0.0270027 | − | 0.187808i | ||||
\(865\) | −26.5090 | − | 22.0739i | −0.901333 | − | 0.750537i | ||||
\(866\) | 0.868198 | + | 0.254926i | 0.0295026 | + | 0.00866273i | ||||
\(867\) | −37.2260 | + | 5.35229i | −1.26426 | + | 0.181773i | ||||
\(868\) | 37.4114 | − | 32.4171i | 1.26982 | − | 1.10031i | ||||
\(869\) | 9.83482 | + | 6.32046i | 0.333624 | + | 0.214407i | ||||
\(870\) | 3.22045 | − | 7.43477i | 0.109184 | − | 0.252062i | ||||
\(871\) | 12.6575 | − | 3.71657i | 0.428882 | − | 0.125931i | ||||
\(872\) | 2.93214 | − | 1.33906i | 0.0992947 | − | 0.0453463i | ||||
\(873\) | 10.3874i | 0.351561i | ||||||||
\(874\) | −7.77351 | + | 14.7896i | −0.262943 | + | 0.500265i | ||||
\(875\) | −27.2190 | − | 20.9115i | −0.920169 | − | 0.706937i | ||||
\(876\) | −6.72134 | − | 14.7177i | −0.227093 | − | 0.497264i | ||||
\(877\) | 2.17580 | + | 7.41009i | 0.0734715 | + | 0.250221i | 0.988037 | − | 0.154217i | \(-0.0492854\pi\) |
−0.914566 | + | 0.404438i | \(0.867467\pi\) | |||||||
\(878\) | 10.2215 | + | 8.85698i | 0.344959 | + | 0.298909i | ||||
\(879\) | −41.5136 | − | 26.6792i | −1.40022 | − | 0.899866i | ||||
\(880\) | 7.09198 | + | 4.36340i | 0.239071 | + | 0.147090i | ||||
\(881\) | 0.832011 | + | 5.78677i | 0.0280312 | + | 0.194961i | 0.999025 | − | 0.0441425i | \(-0.0140556\pi\) |
−0.970994 | + | 0.239104i | \(0.923146\pi\) | |||||||
\(882\) | −0.913102 | + | 3.10974i | −0.0307457 | + | 0.104710i | ||||
\(883\) | −3.44715 | − | 5.36386i | −0.116006 | − | 0.180508i | 0.778395 | − | 0.627775i | \(-0.216034\pi\) |
−0.894401 | + | 0.447266i | \(0.852398\pi\) | |||||||
\(884\) | 0.619165 | − | 4.30639i | 0.0208248 | − | 0.144839i | ||||
\(885\) | −42.4578 | − | 5.25587i | −1.42720 | − | 0.176674i | ||||
\(886\) | −0.490210 | + | 1.07341i | −0.0164689 | + | 0.0360619i | ||||
\(887\) | 15.8064 | + | 2.27261i | 0.530726 | + | 0.0763069i | 0.402468 | − | 0.915434i | \(-0.368152\pi\) |
0.128258 | + | 0.991741i | \(0.459062\pi\) | |||||||
\(888\) | 20.7501 | + | 32.2878i | 0.696329 | + | 1.08351i | ||||
\(889\) | −19.5415 | − | 5.73789i | −0.655400 | − | 0.192443i | ||||
\(890\) | −7.86202 | + | 3.77875i | −0.263535 | + | 0.126664i | ||||
\(891\) | 10.2420 | + | 11.8199i | 0.343120 | + | 0.395982i | ||||
\(892\) | 4.71059 | − | 7.32982i | 0.157722 | − | 0.245420i | ||||
\(893\) | 30.1356 | + | 26.1126i | 1.00845 | + | 0.873826i | ||||
\(894\) | 0.781143 | − | 0.229364i | 0.0261253 | − | 0.00767108i | ||||
\(895\) | −37.2879 | − | 41.3628i | −1.24640 | − | 1.38261i | ||||
\(896\) | 35.2476 | 1.17754 | ||||||||
\(897\) | 1.56120 | − | 28.0887i | 0.0521269 | − | 0.937853i | ||||
\(898\) | 3.21151i | 0.107169i | ||||||||
\(899\) | −11.3802 | − | 24.9192i | −0.379551 | − | 0.831101i | ||||
\(900\) | 13.6932 | − | 17.1171i | 0.456441 | − | 0.570569i | ||||
\(901\) | 0.316927 | − | 0.365753i | 0.0105584 | − | 0.0121850i | ||||
\(902\) | −1.52656 | + | 2.37538i | −0.0508289 | + | 0.0790914i | ||||
\(903\) | −59.1754 | + | 51.2758i | −1.96923 | + | 1.70635i | ||||
\(904\) | −2.50807 | − | 17.4440i | −0.0834173 | − | 0.580180i | ||||
\(905\) | −18.4542 | + | 0.362413i | −0.613439 | + | 0.0120470i | ||||
\(906\) | −4.59095 | + | 2.95042i | −0.152524 | + | 0.0980212i | ||||
\(907\) | −28.9335 | − | 4.16001i | −0.960720 | − | 0.138131i | −0.355928 | − | 0.934514i | \(-0.615835\pi\) |
−0.604793 | + | 0.796383i | \(0.706744\pi\) | |||||||
\(908\) | 17.8579 | + | 8.15543i | 0.592635 | + | 0.270648i | ||||
\(909\) | −8.48794 | + | 18.5860i | −0.281527 | + | 0.616458i | ||||
\(910\) | −8.86921 | + | 1.45348i | −0.294012 | + | 0.0481825i | ||||
\(911\) | 6.67603 | − | 4.29043i | 0.221187 | − | 0.142148i | −0.425355 | − | 0.905026i | \(-0.639851\pi\) |
0.646542 | + | 0.762878i | \(0.276214\pi\) | |||||||
\(912\) | 10.6404 | − | 36.2380i | 0.352340 | − | 1.19996i | ||||
\(913\) | −23.0308 | + | 3.31133i | −0.762209 | + | 0.109589i | ||||
\(914\) | −8.79873 | − | 10.1543i | −0.291036 | − | 0.335874i | ||||
\(915\) | 3.29355 | − | 12.0901i | 0.108881 | − | 0.399686i | ||||
\(916\) | −18.5965 | + | 21.4615i | −0.614444 | + | 0.709107i | ||||
\(917\) | −0.551354 | − | 1.87774i | −0.0182073 | − | 0.0620085i | ||||
\(918\) | −0.520801 | + | 0.237842i | −0.0171890 | + | 0.00784995i | ||||
\(919\) | −21.0042 | −0.692863 | −0.346432 | − | 0.938075i | \(-0.612607\pi\) | ||||
−0.346432 | + | 0.938075i | \(0.612607\pi\) | |||||||
\(920\) | −14.3019 | + | 15.3555i | −0.471520 | + | 0.506257i | ||||
\(921\) | 13.2756 | 0.437445 | ||||||||
\(922\) | −2.10059 | + | 0.959307i | −0.0691792 | + | 0.0315931i | ||||
\(923\) | −6.23687 | − | 21.2408i | −0.205289 | − | 0.699150i | ||||
\(924\) | −12.5587 | + | 14.4935i | −0.413150 | + | 0.476800i | ||||
\(925\) | −1.63543 | − | 41.6223i | −0.0537725 | − | 1.36853i | ||||
\(926\) | 0.931037 | + | 1.07447i | 0.0305958 | + | 0.0353094i | ||||
\(927\) | 30.6076 | − | 4.40070i | 1.00528 | − | 0.144538i | ||||
\(928\) | 4.27839 | − | 14.5708i | 0.140445 | − | 0.478311i | ||||
\(929\) | 11.9377 | − | 7.67189i | 0.391663 | − | 0.251706i | −0.329957 | − | 0.943996i | \(-0.607034\pi\) |
0.721620 | + | 0.692289i | \(0.243398\pi\) | |||||||
\(930\) | 4.18457 | + | 25.5345i | 0.137218 | + | 0.837308i | ||||
\(931\) | 6.67977 | − | 14.6267i | 0.218921 | − | 0.479369i | ||||
\(932\) | −10.1023 | − | 4.61356i | −0.330912 | − | 0.151122i | ||||
\(933\) | 8.93506 | + | 1.28467i | 0.292521 | + | 0.0420581i | ||||
\(934\) | −0.0903172 | + | 0.0580433i | −0.00295527 | + | 0.00189924i | ||||
\(935\) | −0.0684480 | − | 3.48540i | −0.00223849 | − | 0.113985i | ||||
\(936\) | −1.76450 | − | 12.2724i | −0.0576746 | − | 0.401135i | ||||
\(937\) | −15.8661 | + | 13.7481i | −0.518323 | + | 0.449129i | −0.874315 | − | 0.485360i | \(-0.838689\pi\) |
0.355992 | + | 0.934489i | \(0.384143\pi\) | |||||||
\(938\) | 4.61796 | − | 7.18568i | 0.150782 | − | 0.234621i | ||||
\(939\) | 16.7006 | − | 19.2735i | 0.545002 | − | 0.628966i | ||||
\(940\) | 12.9145 | + | 19.2534i | 0.421224 | + | 0.627976i | ||||
\(941\) | 22.7195 | + | 49.7487i | 0.740634 | + | 1.62176i | 0.782509 | + | 0.622639i | \(0.213939\pi\) |
−0.0418756 | + | 0.999123i | \(0.513333\pi\) | |||||||
\(942\) | − | 0.886795i | − | 0.0288933i | ||||||
\(943\) | 12.0263 | + | 11.6503i | 0.391629 | + | 0.379388i | ||||
\(944\) | −19.6620 | −0.639944 | ||||||||
\(945\) | −4.94424 | − | 5.48456i | −0.160836 | − | 0.178413i | ||||
\(946\) | 8.40601 | − | 2.46823i | 0.273303 | − | 0.0802490i | ||||
\(947\) | −21.2187 | − | 18.3861i | −0.689515 | − | 0.597468i | 0.237995 | − | 0.971266i | \(-0.423510\pi\) |
−0.927510 | + | 0.373798i | \(0.878055\pi\) | |||||||
\(948\) | 16.6675 | − | 25.9352i | 0.541336 | − | 0.842336i | ||||
\(949\) | 6.50425 | + | 7.50630i | 0.211137 | + | 0.243665i | ||||
\(950\) | 12.7066 | − | 11.9153i | 0.412258 | − | 0.386584i | ||||
\(951\) | −48.5945 | − | 14.2686i | −1.57578 | − | 0.462692i | ||||
\(952\) | −3.28995 | − | 5.11927i | −0.106628 | − | 0.165916i | ||||
\(953\) | −21.6043 | − | 3.10623i | −0.699833 | − | 0.100621i | −0.216791 | − | 0.976218i | \(-0.569559\pi\) |
−0.483042 | + | 0.875597i | \(0.660468\pi\) | |||||||
\(954\) | 0.265228 | − | 0.580769i | 0.00858708 | − | 0.0188031i | ||||
\(955\) | −4.43189 | + | 35.8016i | −0.143412 | + | 1.15851i | ||||
\(956\) | 7.07702 | − | 49.2218i | 0.228887 | − | 1.59195i | ||||
\(957\) | 5.73780 | + | 8.92819i | 0.185477 | + | 0.288607i | ||||
\(958\) | 3.40617 | − | 11.6004i | 0.110048 | − | 0.374790i | ||||
\(959\) | 7.37999 | + | 51.3290i | 0.238312 | + | 1.65750i | ||||
\(960\) | 5.83337 | − | 9.48119i | 0.188271 | − | 0.306004i | ||||
\(961\) | 47.5196 | + | 30.5390i | 1.53289 | + | 0.985129i | ||||
\(962\) | −8.24282 | − | 7.14245i | −0.265759 | − | 0.230282i | ||||
\(963\) | −8.77728 | − | 29.8927i | −0.282844 | − | 0.963278i | ||||
\(964\) | 7.43526 | + | 16.2809i | 0.239474 | + | 0.524374i | ||||
\(965\) | −8.10343 | − | 25.7185i | −0.260859 | − | 0.827907i | ||||
\(966\) | −11.1462 | − | 14.4070i | −0.358622 | − | 0.463537i | ||||
\(967\) | − | 16.4287i | − | 0.528313i | −0.964480 | − | 0.264156i | \(-0.914907\pi\) | ||
0.964480 | − | 0.264156i | \(-0.0850935\pi\) | |||||||
\(968\) | −15.3632 | + | 7.01614i | −0.493792 | + | 0.225507i | ||||
\(969\) | −15.1713 | + | 4.45470i | −0.487372 | + | 0.143105i | ||||
\(970\) | −1.90757 | + | 4.40384i | −0.0612485 | + | 0.141399i | ||||
\(971\) | 10.9236 | + | 7.02018i | 0.350555 | + | 0.225288i | 0.704053 | − | 0.710147i | \(-0.251372\pi\) |
−0.353498 | + | 0.935435i | \(0.615008\pi\) | |||||||
\(972\) | 26.9659 | − | 23.3661i | 0.864931 | − | 0.749467i | ||||
\(973\) | −29.9042 | + | 4.29958i | −0.958685 | + | 0.137838i | ||||
\(974\) | 3.36852 | + | 0.989086i | 0.107934 | + | 0.0316923i | ||||
\(975\) | −11.1271 | + | 27.1370i | −0.356353 | + | 0.869079i | ||||
\(976\) | 0.819583 | − | 5.70033i | 0.0262342 | − | 0.182463i | ||||
\(977\) | −18.9608 | − | 8.65912i | −0.606611 | − | 0.277030i | 0.0883363 | − | 0.996091i | \(-0.471845\pi\) |
−0.694947 | + | 0.719061i | \(0.744572\pi\) | |||||||
\(978\) | −28.3732 | − | 12.9576i | −0.907275 | − | 0.414339i | ||||
\(979\) | 1.62609 | − | 11.3097i | 0.0519700 | − | 0.361459i | ||||
\(980\) | 5.98228 | − | 7.18423i | 0.191097 | − | 0.229492i | ||||
\(981\) | 4.01962 | + | 1.18027i | 0.128337 | + | 0.0376830i | ||||
\(982\) | 18.0258 | − | 2.59172i | 0.575226 | − | 0.0827050i | ||||
\(983\) | 26.7818 | − | 23.2065i | 0.854205 | − | 0.740173i | −0.113155 | − | 0.993577i | \(-0.536096\pi\) |
0.967360 | + | 0.253404i | \(0.0815503\pi\) | |||||||
\(984\) | 13.5314 | + | 8.69612i | 0.431366 | + | 0.277222i | ||||
\(985\) | −42.6838 | − | 18.4890i | −1.36002 | − | 0.589108i | ||||
\(986\) | −1.49581 | + | 0.439209i | −0.0476363 | + | 0.0139873i | ||||
\(987\) | −39.5438 | + | 18.0591i | −1.25869 | + | 0.574826i | ||||
\(988\) | 28.4761i | 0.905946i | ||||||||
\(989\) | −4.52839 | − | 51.7542i | −0.143994 | − | 1.64569i | ||||
\(990\) | −1.38208 | − | 4.38642i | −0.0439254 | − | 0.139410i | ||||
\(991\) | 11.6431 | + | 25.4948i | 0.369854 | + | 0.809868i | 0.999457 | + | 0.0329508i | \(0.0104904\pi\) |
−0.629603 | + | 0.776917i | \(0.716782\pi\) | |||||||
\(992\) | 13.6632 | + | 46.5327i | 0.433808 | + | 1.47742i | ||||
\(993\) | −5.37785 | − | 4.65993i | −0.170661 | − | 0.147878i | ||||
\(994\) | −12.0585 | − | 7.74951i | −0.382472 | − | 0.245800i | ||||
\(995\) | 13.2341 | + | 8.14238i | 0.419549 | + | 0.258131i | ||||
\(996\) | 8.73224 | + | 60.7341i | 0.276692 | + | 1.92443i | ||||
\(997\) | −8.62198 | + | 29.3638i | −0.273061 | + | 0.929959i | 0.702767 | + | 0.711420i | \(0.251947\pi\) |
−0.975828 | + | 0.218540i | \(0.929871\pi\) | |||||||
\(998\) | −9.39099 | − | 14.6127i | −0.297267 | − | 0.462556i | ||||
\(999\) | 1.27529 | − | 8.86985i | 0.0403484 | − | 0.280630i |
(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 | 115.2.j.a.4.7 | yes | 100 | |
5.2 | odd | 4 | 575.2.k.g.326.7 | 100 | |||
5.3 | odd | 4 | 575.2.k.g.326.4 | 100 | |||
5.4 | even | 2 | inner | 115.2.j.a.4.4 | ✓ | 100 | |
23.6 | even | 11 | inner | 115.2.j.a.29.4 | yes | 100 | |
115.29 | even | 22 | inner | 115.2.j.a.29.7 | yes | 100 | |
115.52 | odd | 44 | 575.2.k.g.351.7 | 100 | |||
115.98 | odd | 44 | 575.2.k.g.351.4 | 100 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.2.j.a.4.4 | ✓ | 100 | 5.4 | even | 2 | inner | |
115.2.j.a.4.7 | yes | 100 | 1.1 | even | 1 | trivial | |
115.2.j.a.29.4 | yes | 100 | 23.6 | even | 11 | inner | |
115.2.j.a.29.7 | yes | 100 | 115.29 | even | 22 | inner | |
575.2.k.g.326.4 | 100 | 5.3 | odd | 4 | |||
575.2.k.g.326.7 | 100 | 5.2 | odd | 4 | |||
575.2.k.g.351.4 | 100 | 115.98 | odd | 44 | |||
575.2.k.g.351.7 | 100 | 115.52 | odd | 44 |