Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(23,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 33, 28]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.bd (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(2640\) |
Relative dimension: | \(132\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 23.11 | ||
Character | \(\chi\) | \(=\) | 804.23 |
Dual form | 804.2.bd.a.35.11 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{14}{33}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.35898 | − | 0.391381i | −0.960942 | − | 0.276748i | ||||
\(3\) | −0.812487 | − | 1.52966i | −0.469090 | − | 0.883151i | ||||
\(4\) | 1.69364 | + | 1.06376i | 0.846821 | + | 0.531879i | ||||
\(5\) | 0.160397 | − | 0.0732507i | 0.0717315 | − | 0.0327587i | −0.379226 | − | 0.925304i | \(-0.623810\pi\) |
0.450958 | + | 0.892545i | \(0.351083\pi\) | |||||||
\(6\) | 0.505471 | + | 2.39677i | 0.206358 | + | 0.978477i | ||||
\(7\) | 0.691946 | + | 0.725692i | 0.261531 | + | 0.274286i | 0.841387 | − | 0.540433i | \(-0.181740\pi\) |
−0.579856 | + | 0.814719i | \(0.696891\pi\) | |||||||
\(8\) | −1.88529 | − | 2.10848i | −0.666549 | − | 0.745461i | ||||
\(9\) | −1.67973 | + | 2.48566i | −0.559910 | + | 0.828554i | ||||
\(10\) | −0.246644 | + | 0.0367698i | −0.0779958 | + | 0.0116276i | ||||
\(11\) | −2.26424 | − | 0.216209i | −0.682694 | − | 0.0651894i | −0.252054 | − | 0.967713i | \(-0.581106\pi\) |
−0.430640 | + | 0.902524i | \(0.641712\pi\) | |||||||
\(12\) | 0.251126 | − | 3.45499i | 0.0724939 | − | 0.997369i | ||||
\(13\) | 5.00663 | + | 0.964949i | 1.38859 | + | 0.267629i | 0.828122 | − | 0.560548i | \(-0.189409\pi\) |
0.560468 | + | 0.828176i | \(0.310621\pi\) | |||||||
\(14\) | −0.656317 | − | 1.25701i | −0.175408 | − | 0.335951i | ||||
\(15\) | −0.242369 | − | 0.185837i | −0.0625794 | − | 0.0479830i | ||||
\(16\) | 1.73684 | + | 3.60325i | 0.434211 | + | 0.900811i | ||||
\(17\) | 0.321641 | − | 0.623897i | 0.0780095 | − | 0.151317i | −0.846605 | − | 0.532222i | \(-0.821357\pi\) |
0.924614 | + | 0.380905i | \(0.124387\pi\) | |||||||
\(18\) | 3.25556 | − | 2.72054i | 0.767342 | − | 0.641238i | ||||
\(19\) | −2.71243 | + | 2.84472i | −0.622275 | + | 0.652623i | −0.957134 | − | 0.289645i | \(-0.906463\pi\) |
0.334859 | + | 0.942268i | \(0.391311\pi\) | |||||||
\(20\) | 0.349575 | + | 0.0465626i | 0.0781674 | + | 0.0104117i | ||||
\(21\) | 0.547866 | − | 1.64806i | 0.119554 | − | 0.359636i | ||||
\(22\) | 2.99243 | + | 1.18000i | 0.637989 | + | 0.251578i | ||||
\(23\) | 1.92334 | − | 0.769989i | 0.401044 | − | 0.160554i | −0.162367 | − | 0.986730i | \(-0.551913\pi\) |
0.563411 | + | 0.826177i | \(0.309489\pi\) | |||||||
\(24\) | −1.69349 | + | 4.59696i | −0.345683 | + | 0.938351i | ||||
\(25\) | −3.25394 | + | 3.75525i | −0.650788 | + | 0.751050i | ||||
\(26\) | −6.42624 | − | 3.27085i | −1.26029 | − | 0.641466i | ||||
\(27\) | 5.16698 | + | 0.549850i | 0.994385 | + | 0.105819i | ||||
\(28\) | 0.399948 | + | 1.96512i | 0.0755831 | + | 0.371373i | ||||
\(29\) | 8.45402 | + | 4.88093i | 1.56987 | + | 0.906366i | 0.996183 | + | 0.0872929i | \(0.0278216\pi\) |
0.573689 | + | 0.819073i | \(0.305512\pi\) | |||||||
\(30\) | 0.256641 | + | 0.347407i | 0.0468560 | + | 0.0634276i | ||||
\(31\) | −0.119922 | − | 0.622212i | −0.0215386 | − | 0.111753i | 0.969568 | − | 0.244821i | \(-0.0787292\pi\) |
−0.991107 | + | 0.133068i | \(0.957517\pi\) | |||||||
\(32\) | −0.950087 | − | 5.57650i | −0.167953 | − | 0.985795i | ||||
\(33\) | 1.50894 | + | 3.63919i | 0.262673 | + | 0.633501i | ||||
\(34\) | −0.681285 | + | 0.721978i | −0.116839 | + | 0.123818i | ||||
\(35\) | 0.164143 | + | 0.0657130i | 0.0277453 | + | 0.0111075i | ||||
\(36\) | −5.48900 | + | 2.42299i | −0.914833 | + | 0.403832i | ||||
\(37\) | 4.73750 | + | 8.20558i | 0.778839 | + | 1.34899i | 0.932611 | + | 0.360883i | \(0.117525\pi\) |
−0.153772 | + | 0.988106i | \(0.549142\pi\) | |||||||
\(38\) | 4.79950 | − | 2.80431i | 0.778582 | − | 0.454920i | ||||
\(39\) | −2.59178 | − | 8.44246i | −0.415017 | − | 1.35188i | ||||
\(40\) | −0.456841 | − | 0.200095i | −0.0722329 | − | 0.0316378i | ||||
\(41\) | −5.67873 | + | 0.270511i | −0.886869 | + | 0.0422468i | −0.486071 | − | 0.873919i | \(-0.661570\pi\) |
−0.400799 | + | 0.916166i | \(0.631267\pi\) | |||||||
\(42\) | −1.38956 | + | 2.02525i | −0.214413 | + | 0.312503i | ||||
\(43\) | −2.10676 | − | 3.27818i | −0.321278 | − | 0.499918i | 0.642622 | − | 0.766184i | \(-0.277847\pi\) |
−0.963900 | + | 0.266265i | \(0.914210\pi\) | |||||||
\(44\) | −3.60482 | − | 2.77478i | −0.543447 | − | 0.418314i | ||||
\(45\) | −0.0873465 | + | 0.521733i | −0.0130208 | + | 0.0777753i | ||||
\(46\) | −2.91514 | + | 0.293639i | −0.429813 | + | 0.0432947i | ||||
\(47\) | 5.45594 | + | 4.29060i | 0.795831 | + | 0.625848i | 0.931019 | − | 0.364972i | \(-0.118921\pi\) |
−0.135188 | + | 0.990820i | \(0.543164\pi\) | |||||||
\(48\) | 4.10058 | − | 5.58437i | 0.591868 | − | 0.806035i | ||||
\(49\) | 0.285234 | − | 5.98779i | 0.0407477 | − | 0.855399i | ||||
\(50\) | 5.89177 | − | 3.82977i | 0.833222 | − | 0.541611i | ||||
\(51\) | −1.21568 | + | 0.0149060i | −0.170229 | + | 0.00208726i | ||||
\(52\) | 7.45297 | + | 6.96012i | 1.03354 | + | 0.965195i | ||||
\(53\) | −2.99370 | + | 4.65829i | −0.411217 | + | 0.639865i | −0.983651 | − | 0.180085i | \(-0.942363\pi\) |
0.572434 | + | 0.819950i | \(0.305999\pi\) | |||||||
\(54\) | −6.80661 | − | 2.76949i | −0.926262 | − | 0.376880i | ||||
\(55\) | −0.379014 | + | 0.131178i | −0.0511062 | + | 0.0176880i | ||||
\(56\) | 0.225592 | − | 2.82709i | 0.0301460 | − | 0.377786i | ||||
\(57\) | 6.55527 | + | 1.83781i | 0.868267 | + | 0.243424i | ||||
\(58\) | −9.57852 | − | 9.94182i | −1.25772 | − | 1.30542i | ||||
\(59\) | −1.30299 | − | 1.50373i | −0.169634 | − | 0.195768i | 0.664567 | − | 0.747229i | \(-0.268616\pi\) |
−0.834201 | + | 0.551461i | \(0.814071\pi\) | |||||||
\(60\) | −0.212800 | − | 0.572563i | −0.0274724 | − | 0.0739176i | ||||
\(61\) | 5.61122 | − | 0.535806i | 0.718443 | − | 0.0686030i | 0.270570 | − | 0.962700i | \(-0.412788\pi\) |
0.447873 | + | 0.894097i | \(0.352182\pi\) | |||||||
\(62\) | −0.0805515 | + | 0.892508i | −0.0102300 | + | 0.113349i | ||||
\(63\) | −2.96611 | + | 0.500977i | −0.373694 | + | 0.0631171i | ||||
\(64\) | −0.891390 | + | 7.95018i | −0.111424 | + | 0.993773i | ||||
\(65\) | 0.873730 | − | 0.211965i | 0.108373 | − | 0.0262910i | ||||
\(66\) | −0.626306 | − | 5.53615i | −0.0770929 | − | 0.681453i | ||||
\(67\) | −0.304851 | − | 8.17967i | −0.0372435 | − | 0.999306i | ||||
\(68\) | 1.20842 | − | 0.714510i | 0.146542 | − | 0.0866470i | ||||
\(69\) | −2.74051 | − | 2.31645i | −0.329919 | − | 0.278868i | ||||
\(70\) | −0.197348 | − | 0.153545i | −0.0235876 | − | 0.0183521i | ||||
\(71\) | 13.4473 | − | 6.93258i | 1.59590 | − | 0.822746i | 0.596102 | − | 0.802909i | \(-0.296716\pi\) |
0.999803 | − | 0.0198371i | \(-0.00631477\pi\) | |||||||
\(72\) | 8.40774 | − | 1.14450i | 0.990862 | − | 0.134881i | ||||
\(73\) | 16.0234 | − | 1.53005i | 1.87540 | − | 0.179079i | 0.905789 | − | 0.423728i | \(-0.139279\pi\) |
0.969612 | + | 0.244649i | \(0.0786727\pi\) | |||||||
\(74\) | −3.22664 | − | 13.0054i | −0.375089 | − | 1.51184i | ||||
\(75\) | 8.38805 | + | 1.92634i | 0.968568 | + | 0.222434i | ||||
\(76\) | −7.61998 | + | 1.93256i | −0.874071 | + | 0.221680i | ||||
\(77\) | −1.40983 | − | 1.79275i | −0.160665 | − | 0.204302i | ||||
\(78\) | 0.217948 | + | 12.4875i | 0.0246777 | + | 1.41393i | ||||
\(79\) | 13.5337 | − | 4.68407i | 1.52266 | − | 0.526999i | 0.567576 | − | 0.823321i | \(-0.307881\pi\) |
0.955088 | + | 0.296322i | \(0.0957603\pi\) | |||||||
\(80\) | 0.542524 | + | 0.450723i | 0.0606560 | + | 0.0503924i | ||||
\(81\) | −3.35702 | − | 8.35047i | −0.373002 | − | 0.927830i | ||||
\(82\) | 7.82315 | + | 1.85493i | 0.863922 | + | 0.204843i | ||||
\(83\) | −3.90482 | + | 5.48356i | −0.428610 | + | 0.601898i | −0.971249 | − | 0.238068i | \(-0.923486\pi\) |
0.542639 | + | 0.839966i | \(0.317425\pi\) | |||||||
\(84\) | 2.68102 | − | 2.20842i | 0.292523 | − | 0.240959i | ||||
\(85\) | 0.00588929 | − | 0.123631i | 0.000638783 | − | 0.0134097i | ||||
\(86\) | 1.58002 | + | 5.27953i | 0.170378 | + | 0.569306i | ||||
\(87\) | 0.597389 | − | 16.8975i | 0.0640469 | − | 1.81160i | ||||
\(88\) | 3.81287 | + | 5.18172i | 0.406453 | + | 0.552374i | ||||
\(89\) | 7.93037 | − | 1.14022i | 0.840618 | − | 0.120863i | 0.291462 | − | 0.956582i | \(-0.405858\pi\) |
0.549156 | + | 0.835720i | \(0.314949\pi\) | |||||||
\(90\) | 0.322898 | − | 0.674837i | 0.0340365 | − | 0.0711341i | ||||
\(91\) | 2.76406 | + | 4.30096i | 0.289752 | + | 0.450864i | ||||
\(92\) | 4.07653 | + | 0.741881i | 0.425008 | + | 0.0773464i | ||||
\(93\) | −0.854339 | + | 0.688979i | −0.0885909 | + | 0.0714438i | ||||
\(94\) | −5.73524 | − | 7.96618i | −0.591545 | − | 0.821649i | ||||
\(95\) | −0.226687 | + | 0.654970i | −0.0232576 | + | 0.0671985i | ||||
\(96\) | −7.75822 | + | 5.98414i | −0.791820 | + | 0.610754i | ||||
\(97\) | 0.872259 | + | 1.51080i | 0.0885645 | + | 0.153398i | 0.906905 | − | 0.421336i | \(-0.138439\pi\) |
−0.818340 | + | 0.574734i | \(0.805105\pi\) | |||||||
\(98\) | −2.73114 | + | 8.02564i | −0.275886 | + | 0.810712i | ||||
\(99\) | 4.34073 | − | 5.26496i | 0.436260 | − | 0.529149i | ||||
\(100\) | −9.50568 | + | 2.89864i | −0.950568 | + | 0.289864i | ||||
\(101\) | −13.4224 | − | 3.25623i | −1.33558 | − | 0.324007i | −0.496507 | − | 0.868033i | \(-0.665384\pi\) |
−0.839069 | + | 0.544026i | \(0.816899\pi\) | |||||||
\(102\) | 1.65792 | + | 0.455538i | 0.164158 | + | 0.0451050i | ||||
\(103\) | 2.80151 | + | 14.5356i | 0.276041 | + | 1.43224i | 0.809853 | + | 0.586633i | \(0.199547\pi\) |
−0.533812 | + | 0.845603i | \(0.679241\pi\) | |||||||
\(104\) | −7.40436 | − | 12.3756i | −0.726057 | − | 1.21353i | ||||
\(105\) | −0.0328455 | − | 0.304474i | −0.00320540 | − | 0.0297137i | ||||
\(106\) | 5.89154 | − | 5.15884i | 0.572237 | − | 0.501070i | ||||
\(107\) | −3.38328 | + | 7.40834i | −0.327074 | + | 0.716192i | −0.999717 | − | 0.0237750i | \(-0.992431\pi\) |
0.672644 | + | 0.739967i | \(0.265159\pi\) | |||||||
\(108\) | 8.16610 | + | 6.42766i | 0.785784 | + | 0.618502i | ||||
\(109\) | 3.10610 | − | 3.58463i | 0.297510 | − | 0.343345i | −0.587238 | − | 0.809414i | \(-0.699785\pi\) |
0.884748 | + | 0.466069i | \(0.154330\pi\) | |||||||
\(110\) | 0.566412 | − | 0.0299290i | 0.0540053 | − | 0.00285362i | ||||
\(111\) | 8.70261 | − | 13.9137i | 0.826015 | − | 1.32063i | ||||
\(112\) | −1.41305 | + | 3.75366i | −0.133520 | + | 0.354688i | ||||
\(113\) | −0.124982 | + | 0.0889992i | −0.0117573 | + | 0.00837234i | −0.585920 | − | 0.810369i | \(-0.699267\pi\) |
0.574163 | + | 0.818741i | \(0.305328\pi\) | |||||||
\(114\) | −8.18918 | − | 5.06315i | −0.766987 | − | 0.474207i | ||||
\(115\) | 0.252095 | − | 0.264390i | 0.0235080 | − | 0.0246545i | ||||
\(116\) | 9.12595 | + | 17.2596i | 0.847323 | + | 1.60251i | ||||
\(117\) | −10.8083 | + | 10.8239i | −0.999230 | + | 1.00067i | ||||
\(118\) | 1.18220 | + | 2.55349i | 0.108830 | + | 0.235068i | ||||
\(119\) | 0.675315 | − | 0.198291i | 0.0619061 | − | 0.0181773i | ||||
\(120\) | 0.0651003 | + | 0.861387i | 0.00594282 | + | 0.0786335i | ||||
\(121\) | −5.72118 | − | 1.10267i | −0.520107 | − | 0.100242i | ||||
\(122\) | −7.83522 | − | 1.46798i | −0.709368 | − | 0.132904i | ||||
\(123\) | 5.02769 | + | 8.46676i | 0.453332 | + | 0.763422i | ||||
\(124\) | 0.458779 | − | 1.18137i | 0.0411995 | − | 0.106090i | ||||
\(125\) | −0.495238 | + | 1.68663i | −0.0442954 | + | 0.150856i | ||||
\(126\) | 4.22694 | + | 0.480062i | 0.376566 | + | 0.0427673i | ||||
\(127\) | −10.7197 | − | 11.2425i | −0.951219 | − | 0.997610i | 0.0487801 | − | 0.998810i | \(-0.484467\pi\) |
−0.999999 | + | 0.00119955i | \(0.999618\pi\) | |||||||
\(128\) | 4.32293 | − | 10.4552i | 0.382097 | − | 0.924122i | ||||
\(129\) | −3.30280 | + | 5.88611i | −0.290795 | + | 0.518244i | ||||
\(130\) | −1.27034 | − | 0.0539064i | −0.111416 | − | 0.00472790i | ||||
\(131\) | −0.825912 | + | 5.74435i | −0.0721603 | + | 0.501886i | 0.921403 | + | 0.388608i | \(0.127044\pi\) |
−0.993563 | + | 0.113278i | \(0.963865\pi\) | |||||||
\(132\) | −1.31561 | + | 7.76863i | −0.114509 | + | 0.676172i | ||||
\(133\) | −3.94124 | −0.341749 | ||||||||
\(134\) | −2.78709 | + | 11.2353i | −0.240768 | + | 0.970583i | ||||
\(135\) | 0.869042 | − | 0.290291i | 0.0747953 | − | 0.0249842i | ||||
\(136\) | −1.92186 | + | 0.498050i | −0.164798 | + | 0.0427074i | ||||
\(137\) | 9.07899 | + | 1.30536i | 0.775670 | + | 0.111525i | 0.518770 | − | 0.854914i | \(-0.326390\pi\) |
0.256900 | + | 0.966438i | \(0.417299\pi\) | |||||||
\(138\) | 2.81768 | + | 4.22059i | 0.239857 | + | 0.359281i | ||||
\(139\) | −3.64796 | + | 1.66597i | −0.309416 | + | 0.141306i | −0.564071 | − | 0.825726i | \(-0.690766\pi\) |
0.254655 | + | 0.967032i | \(0.418038\pi\) | |||||||
\(140\) | 0.208097 | + | 0.285903i | 0.0175874 | + | 0.0241632i | ||||
\(141\) | 2.13028 | − | 11.8318i | 0.179402 | − | 0.996417i | ||||
\(142\) | −20.9879 | + | 4.15819i | −1.76127 | + | 0.348948i | ||||
\(143\) | −11.1276 | − | 3.26735i | −0.930536 | − | 0.273230i | ||||
\(144\) | −11.8739 | − | 1.73528i | −0.989489 | − | 0.144606i | ||||
\(145\) | 1.71353 | + | 0.163622i | 0.142301 | + | 0.0135881i | ||||
\(146\) | −22.3743 | − | 4.19197i | −1.85171 | − | 0.346930i | ||||
\(147\) | −9.39105 | + | 4.42869i | −0.774560 | + | 0.365272i | ||||
\(148\) | −0.705128 | + | 18.9369i | −0.0579612 | + | 1.55660i | ||||
\(149\) | 1.77600 | + | 6.04850i | 0.145496 | + | 0.495512i | 0.999702 | − | 0.0244220i | \(-0.00777454\pi\) |
−0.854206 | + | 0.519934i | \(0.825956\pi\) | |||||||
\(150\) | −10.6452 | − | 5.90078i | −0.869180 | − | 0.481796i | ||||
\(151\) | 0.429257 | − | 0.832643i | 0.0349325 | − | 0.0677595i | −0.870723 | − | 0.491773i | \(-0.836349\pi\) |
0.905656 | + | 0.424014i | \(0.139379\pi\) | |||||||
\(152\) | 11.1117 | + | 0.356008i | 0.901282 | + | 0.0288760i | ||||
\(153\) | 1.01053 | + | 1.84747i | 0.0816962 | + | 0.149359i | ||||
\(154\) | 1.21428 | + | 2.98808i | 0.0978496 | + | 0.240787i | ||||
\(155\) | −0.0648125 | − | 0.0910164i | −0.00520586 | − | 0.00731061i | ||||
\(156\) | 4.59118 | − | 17.0555i | 0.367589 | − | 1.36553i | ||||
\(157\) | 7.96009 | − | 3.18674i | 0.635284 | − | 0.254329i | −0.0315887 | − | 0.999501i | \(-0.510057\pi\) |
0.666873 | + | 0.745172i | \(0.267632\pi\) | |||||||
\(158\) | −20.2253 | + | 1.06870i | −1.60904 | + | 0.0850210i | ||||
\(159\) | 9.55795 | + | 0.794549i | 0.757995 | + | 0.0630118i | ||||
\(160\) | −0.560873 | − | 0.824857i | −0.0443409 | − | 0.0652107i | ||||
\(161\) | 1.88962 | + | 0.862962i | 0.148923 | + | 0.0680109i | ||||
\(162\) | 1.29390 | + | 12.6620i | 0.101658 | + | 0.994819i | ||||
\(163\) | 2.23085 | + | 1.28798i | 0.174734 | + | 0.100883i | 0.584816 | − | 0.811166i | \(-0.301167\pi\) |
−0.410082 | + | 0.912049i | \(0.634500\pi\) | |||||||
\(164\) | −9.90550 | − | 5.58264i | −0.773489 | − | 0.435931i | ||||
\(165\) | 0.508602 | + | 0.473182i | 0.0395946 | + | 0.0368372i | ||||
\(166\) | 7.45273 | − | 5.92376i | 0.578444 | − | 0.459773i | ||||
\(167\) | −3.44120 | + | 14.1848i | −0.266288 | + | 1.09765i | 0.668858 | + | 0.743390i | \(0.266783\pi\) |
−0.935146 | + | 0.354263i | \(0.884732\pi\) | |||||||
\(168\) | −4.50778 | + | 1.95190i | −0.347783 | + | 0.150592i | ||||
\(169\) | 12.0665 | + | 4.83068i | 0.928189 | + | 0.371591i | ||||
\(170\) | −0.0563904 | + | 0.165707i | −0.00432495 | + | 0.0127092i | ||||
\(171\) | −2.51485 | − | 11.5205i | −0.192315 | − | 0.880998i | ||||
\(172\) | −0.0809062 | − | 7.79315i | −0.00616904 | − | 0.594222i | ||||
\(173\) | −4.94576 | − | 1.71175i | −0.376019 | − | 0.130142i | 0.132520 | − | 0.991180i | \(-0.457693\pi\) |
−0.508539 | + | 0.861039i | \(0.669814\pi\) | |||||||
\(174\) | −7.42520 | + | 22.7295i | −0.562903 | + | 1.72312i | ||||
\(175\) | −4.97671 | + | 0.237070i | −0.376204 | + | 0.0179208i | ||||
\(176\) | −3.15357 | − | 8.53413i | −0.237710 | − | 0.643285i | ||||
\(177\) | −1.24153 | + | 3.21488i | −0.0933193 | + | 0.241645i | ||||
\(178\) | −11.2235 | − | 1.55427i | −0.841234 | − | 0.116498i | ||||
\(179\) | 2.75234 | + | 19.1430i | 0.205720 | + | 1.43081i | 0.786921 | + | 0.617053i | \(0.211674\pi\) |
−0.581202 | + | 0.813760i | \(0.697417\pi\) | |||||||
\(180\) | −0.702931 | + | 0.790713i | −0.0523933 | + | 0.0589362i | ||||
\(181\) | −13.8132 | − | 10.8628i | −1.02672 | − | 0.807424i | −0.0452411 | − | 0.998976i | \(-0.514406\pi\) |
−0.981483 | + | 0.191552i | \(0.938648\pi\) | |||||||
\(182\) | −2.07298 | − | 6.92672i | −0.153660 | − | 0.513442i | ||||
\(183\) | −5.37864 | − | 8.14793i | −0.397601 | − | 0.602312i | ||||
\(184\) | −5.24956 | − | 2.60368i | −0.387002 | − | 0.191946i | ||||
\(185\) | 1.36094 | + | 0.969123i | 0.100058 | + | 0.0712513i | ||||
\(186\) | 1.43068 | − | 0.601935i | 0.104903 | − | 0.0441360i | ||||
\(187\) | −0.863165 | + | 1.34311i | −0.0631209 | + | 0.0982180i | ||||
\(188\) | 4.67625 | + | 13.0705i | 0.341051 | + | 0.953266i | ||||
\(189\) | 3.17625 | + | 4.13010i | 0.231038 | + | 0.300421i | ||||
\(190\) | 0.564406 | − | 0.801369i | 0.0409463 | − | 0.0581374i | ||||
\(191\) | −10.5771 | + | 8.31794i | −0.765333 | + | 0.601865i | −0.922630 | − | 0.385687i | \(-0.873965\pi\) |
0.157296 | + | 0.987551i | \(0.449722\pi\) | |||||||
\(192\) | 12.8853 | − | 5.09590i | 0.929919 | − | 0.367765i | ||||
\(193\) | −2.30601 | − | 2.66128i | −0.165990 | − | 0.191563i | 0.666660 | − | 0.745362i | \(-0.267723\pi\) |
−0.832651 | + | 0.553799i | \(0.813178\pi\) | |||||||
\(194\) | −0.594083 | − | 2.39453i | −0.0426527 | − | 0.171917i | ||||
\(195\) | −1.03413 | − | 1.16429i | −0.0740555 | − | 0.0833767i | ||||
\(196\) | 6.85264 | − | 9.83775i | 0.489474 | − | 0.702697i | ||||
\(197\) | 11.0594 | + | 21.4523i | 0.787951 | + | 1.52841i | 0.847868 | + | 0.530208i | \(0.177886\pi\) |
−0.0599172 | + | 0.998203i | \(0.519084\pi\) | |||||||
\(198\) | −7.95957 | + | 5.45608i | −0.565662 | + | 0.387747i | ||||
\(199\) | −10.7457 | + | 2.60688i | −0.761742 | + | 0.184797i | −0.597769 | − | 0.801668i | \(-0.703946\pi\) |
−0.163973 | + | 0.986465i | \(0.552431\pi\) | |||||||
\(200\) | 14.0525 | − | 0.218843i | 0.993661 | − | 0.0154745i | ||||
\(201\) | −12.2644 | + | 7.11220i | −0.865067 | + | 0.501656i | ||||
\(202\) | 16.9663 | + | 9.67841i | 1.19374 | + | 0.680971i | ||||
\(203\) | 2.30767 | + | 9.51235i | 0.161967 | + | 0.667636i | ||||
\(204\) | −2.07478 | − | 1.26794i | −0.145264 | − | 0.0887738i | ||||
\(205\) | −0.891034 | + | 0.459360i | −0.0622325 | + | 0.0320831i | ||||
\(206\) | 1.88178 | − | 20.8500i | 0.131110 | − | 1.45269i | ||||
\(207\) | −1.31676 | + | 6.07415i | −0.0915211 | + | 0.422182i | ||||
\(208\) | 5.21878 | + | 19.7161i | 0.361857 | + | 1.36706i | ||||
\(209\) | 6.75665 | − | 5.85467i | 0.467367 | − | 0.404976i | ||||
\(210\) | −0.0745292 | + | 0.426629i | −0.00514301 | + | 0.0294402i | ||||
\(211\) | 0.141609 | + | 0.180071i | 0.00974878 | + | 0.0123966i | 0.790903 | − | 0.611941i | \(-0.209611\pi\) |
−0.781154 | + | 0.624338i | \(0.785369\pi\) | |||||||
\(212\) | −10.0255 | + | 4.70490i | −0.688557 | + | 0.323134i | ||||
\(213\) | −21.5303 | − | 14.9372i | −1.47523 | − | 1.02348i | ||||
\(214\) | 7.49729 | − | 8.74362i | 0.512504 | − | 0.597702i | ||||
\(215\) | −0.578046 | − | 0.371488i | −0.0394224 | − | 0.0253353i | ||||
\(216\) | −8.58189 | − | 11.9311i | −0.583923 | − | 0.811809i | ||||
\(217\) | 0.368555 | − | 0.517563i | 0.0250192 | − | 0.0351345i | ||||
\(218\) | −5.62407 | + | 3.65576i | −0.380910 | + | 0.247599i | ||||
\(219\) | −15.3593 | − | 23.2673i | −1.03789 | − | 1.57226i | ||||
\(220\) | −0.781455 | − | 0.181010i | −0.0526857 | − | 0.0122037i | ||||
\(221\) | 2.21237 | − | 2.81326i | 0.148820 | − | 0.189240i | ||||
\(222\) | −17.2722 | + | 15.5024i | −1.15924 | + | 1.04045i | ||||
\(223\) | −10.9108 | + | 1.56873i | −0.730639 | + | 0.105050i | −0.497587 | − | 0.867414i | \(-0.665780\pi\) |
−0.233052 | + | 0.972464i | \(0.574871\pi\) | |||||||
\(224\) | 3.38941 | − | 4.54810i | 0.226465 | − | 0.303883i | ||||
\(225\) | −3.86854 | − | 14.3960i | −0.257902 | − | 0.959733i | ||||
\(226\) | 0.204680 | − | 0.0720324i | 0.0136151 | − | 0.00479152i | ||||
\(227\) | 1.18414 | + | 24.8581i | 0.0785939 | + | 1.64989i | 0.602504 | + | 0.798116i | \(0.294170\pi\) |
−0.523910 | + | 0.851774i | \(0.675527\pi\) | |||||||
\(228\) | 9.14730 | + | 10.0858i | 0.605795 | + | 0.667949i | ||||
\(229\) | 2.41055 | − | 6.96483i | 0.159294 | − | 0.460249i | −0.836906 | − | 0.547347i | \(-0.815638\pi\) |
0.996200 | + | 0.0870975i | \(0.0277592\pi\) | |||||||
\(230\) | −0.446069 | + | 0.260634i | −0.0294129 | + | 0.0171857i | ||||
\(231\) | −1.59682 | + | 3.61315i | −0.105063 | + | 0.237728i | ||||
\(232\) | −5.64689 | − | 27.0271i | −0.370737 | − | 1.77442i | ||||
\(233\) | 4.68679 | − | 11.7070i | 0.307042 | − | 0.766954i | −0.691945 | − | 0.721950i | \(-0.743246\pi\) |
0.998987 | − | 0.0450034i | \(-0.0143299\pi\) | |||||||
\(234\) | 18.9246 | − | 10.4793i | 1.23714 | − | 0.685054i | ||||
\(235\) | 1.18940 | + | 0.288546i | 0.0775881 | + | 0.0188227i | ||||
\(236\) | −0.607192 | − | 3.93283i | −0.0395248 | − | 0.256006i | ||||
\(237\) | −18.1610 | − | 16.8963i | −1.17969 | − | 1.09753i | ||||
\(238\) | −0.995346 | + | 0.00516655i | −0.0645187 | + | 0.000334898i | ||||
\(239\) | 3.28973 | − | 5.69798i | 0.212795 | − | 0.368572i | −0.739793 | − | 0.672834i | \(-0.765077\pi\) |
0.952588 | + | 0.304263i | \(0.0984100\pi\) | |||||||
\(240\) | 0.248661 | − | 1.19608i | 0.0160510 | − | 0.0772069i | ||||
\(241\) | −6.84114 | + | 14.9800i | −0.440677 | + | 0.964948i | 0.550797 | + | 0.834639i | \(0.314324\pi\) |
−0.991474 | + | 0.130308i | \(0.958403\pi\) | |||||||
\(242\) | 7.34339 | + | 3.73766i | 0.472051 | + | 0.240266i | ||||
\(243\) | −10.0459 | + | 11.9198i | −0.644442 | + | 0.764653i | ||||
\(244\) | 10.0734 | + | 5.06151i | 0.644881 | + | 0.324030i | ||||
\(245\) | −0.392859 | − | 0.981315i | −0.0250989 | − | 0.0626939i | ||||
\(246\) | −3.51879 | − | 13.4739i | −0.224350 | − | 0.859063i | ||||
\(247\) | −16.3252 | + | 11.6251i | −1.03874 | + | 0.739687i | ||||
\(248\) | −1.08584 | + | 1.42590i | −0.0689507 | + | 0.0905448i | ||||
\(249\) | 11.5606 | + | 1.51774i | 0.732623 | + | 0.0961827i | ||||
\(250\) | 1.33313 | − | 2.09826i | 0.0843146 | − | 0.132706i | ||||
\(251\) | −19.7290 | − | 10.1710i | −1.24528 | − | 0.641987i | −0.295632 | − | 0.955302i | \(-0.595530\pi\) |
−0.949649 | + | 0.313315i | \(0.898560\pi\) | |||||||
\(252\) | −5.55644 | − | 2.30674i | −0.350023 | − | 0.145311i | ||||
\(253\) | −4.52138 | + | 1.32760i | −0.284257 | + | 0.0834654i | ||||
\(254\) | 10.1677 | + | 19.4738i | 0.637980 | + | 1.22189i | ||||
\(255\) | −0.193899 | + | 0.0914403i | −0.0121424 | + | 0.00572621i | ||||
\(256\) | −9.96676 | + | 12.5165i | −0.622922 | + | 0.782284i | ||||
\(257\) | 1.96644 | − | 20.5935i | 0.122663 | − | 1.28459i | −0.699211 | − | 0.714916i | \(-0.746465\pi\) |
0.821874 | − | 0.569670i | \(-0.192929\pi\) | |||||||
\(258\) | 6.79214 | − | 6.70645i | 0.422860 | − | 0.417525i | ||||
\(259\) | −2.67663 | + | 9.11578i | −0.166318 | + | 0.566427i | ||||
\(260\) | 1.70526 | + | 0.570444i | 0.105756 | + | 0.0353774i | ||||
\(261\) | −26.3328 | + | 12.8152i | −1.62996 | + | 0.793240i | ||||
\(262\) | 3.37063 | − | 7.48319i | 0.208238 | − | 0.462313i | ||||
\(263\) | −0.141204 | − | 0.309195i | −0.00870704 | − | 0.0190658i | 0.905229 | − | 0.424925i | \(-0.139700\pi\) |
−0.913936 | + | 0.405859i | \(0.866972\pi\) | |||||||
\(264\) | 4.82838 | − | 10.0425i | 0.297166 | − | 0.618072i | ||||
\(265\) | −0.138957 | + | 0.966465i | −0.00853604 | + | 0.0593694i | ||||
\(266\) | 5.35606 | + | 1.54253i | 0.328401 | + | 0.0945785i | ||||
\(267\) | −8.18747 | − | 11.2044i | −0.501065 | − | 0.685697i | ||||
\(268\) | 8.18488 | − | 14.1777i | 0.499971 | − | 0.866042i | ||||
\(269\) | 8.41841i | 0.513279i | 0.966507 | + | 0.256640i | \(0.0826154\pi\) | ||||
−0.966507 | + | 0.256640i | \(0.917385\pi\) | |||||||
\(270\) | −1.29462 | + | 0.0543715i | −0.0787883 | + | 0.00330894i | ||||
\(271\) | 11.8695 | + | 1.70658i | 0.721021 | + | 0.103667i | 0.493050 | − | 0.870001i | \(-0.335882\pi\) |
0.227971 | + | 0.973668i | \(0.426791\pi\) | |||||||
\(272\) | 2.80670 | + | 0.0753420i | 0.170181 | + | 0.00456828i | ||||
\(273\) | 4.33325 | − | 7.72256i | 0.262261 | − | 0.467390i | ||||
\(274\) | −11.8272 | − | 5.32730i | −0.714510 | − | 0.321834i | ||||
\(275\) | 8.17962 | − | 7.79926i | 0.493250 | − | 0.470313i | ||||
\(276\) | −2.17730 | − | 6.83848i | −0.131058 | − | 0.411628i | ||||
\(277\) | −12.1676 | − | 3.57274i | −0.731082 | − | 0.214665i | −0.105055 | − | 0.994466i | \(-0.533502\pi\) |
−0.626027 | + | 0.779801i | \(0.715320\pi\) | |||||||
\(278\) | 5.60953 | − | 0.836271i | 0.336437 | − | 0.0501562i | ||||
\(279\) | 1.74804 | + | 0.747064i | 0.104653 | + | 0.0447255i | ||||
\(280\) | −0.170902 | − | 0.469981i | −0.0102134 | − | 0.0280867i | ||||
\(281\) | 3.52655 | − | 18.2975i | 0.210376 | − | 1.09154i | −0.711097 | − | 0.703094i | \(-0.751801\pi\) |
0.921473 | − | 0.388441i | \(-0.126986\pi\) | |||||||
\(282\) | −7.52575 | + | 15.2454i | −0.448152 | + | 0.907850i | ||||
\(283\) | 1.63824 | + | 5.57935i | 0.0973835 | + | 0.331658i | 0.993746 | − | 0.111664i | \(-0.0356181\pi\) |
−0.896362 | + | 0.443322i | \(0.853800\pi\) | |||||||
\(284\) | 30.1495 | + | 2.56339i | 1.78905 | + | 0.152109i | ||||
\(285\) | 1.18606 | − | 0.185400i | 0.0702563 | − | 0.0109821i | ||||
\(286\) | 13.8434 | + | 8.79539i | 0.818575 | + | 0.520082i | ||||
\(287\) | −4.12568 | − | 3.93383i | −0.243531 | − | 0.232207i | ||||
\(288\) | 15.4572 | + | 7.00541i | 0.910823 | + | 0.412798i | ||||
\(289\) | 9.57517 | + | 13.4464i | 0.563245 | + | 0.790968i | ||||
\(290\) | −2.26461 | − | 0.893001i | −0.132982 | − | 0.0524388i | ||||
\(291\) | 1.60231 | − | 2.56176i | 0.0939290 | − | 0.150173i | ||||
\(292\) | 28.7656 | + | 14.4537i | 1.68338 | + | 0.845838i | ||||
\(293\) | 5.35983 | + | 4.64432i | 0.313125 | + | 0.271324i | 0.797217 | − | 0.603693i | \(-0.206305\pi\) |
−0.484092 | + | 0.875017i | \(0.660850\pi\) | |||||||
\(294\) | 14.4955 | − | 2.34302i | 0.845396 | − | 0.136648i | ||||
\(295\) | −0.319143 | − | 0.145748i | −0.0185812 | − | 0.00848577i | ||||
\(296\) | 8.36979 | − | 25.4588i | 0.486484 | − | 1.47976i | ||||
\(297\) | −11.5804 | − | 2.36214i | −0.671963 | − | 0.137065i | ||||
\(298\) | −0.0462745 | − | 8.91487i | −0.00268061 | − | 0.516425i | ||||
\(299\) | 10.3725 | − | 1.99913i | 0.599855 | − | 0.115613i | ||||
\(300\) | 12.1572 | + | 12.1854i | 0.701896 | + | 0.703523i | ||||
\(301\) | 0.921187 | − | 3.79719i | 0.0530963 | − | 0.218866i | ||||
\(302\) | −0.909232 | + | 0.963540i | −0.0523204 | + | 0.0554455i | ||||
\(303\) | 5.92457 | + | 23.1773i | 0.340358 | + | 1.33150i | ||||
\(304\) | −14.9613 | − | 4.83274i | −0.858088 | − | 0.277176i | ||||
\(305\) | 0.860772 | − | 0.496967i | 0.0492877 | − | 0.0284562i | ||||
\(306\) | −0.650218 | − | 2.90617i | −0.0371705 | − | 0.166135i | ||||
\(307\) | 16.7430 | + | 5.79482i | 0.955575 | + | 0.330728i | 0.759972 | − | 0.649955i | \(-0.225212\pi\) |
0.195603 | + | 0.980683i | \(0.437334\pi\) | |||||||
\(308\) | −0.480702 | − | 4.53598i | −0.0273905 | − | 0.258462i | ||||
\(309\) | 19.9584 | − | 16.0954i | 1.13539 | − | 0.915633i | ||||
\(310\) | 0.0524566 | + | 0.149056i | 0.00297933 | + | 0.00846579i | ||||
\(311\) | 4.44214 | − | 2.85479i | 0.251891 | − | 0.161880i | −0.408602 | − | 0.912713i | \(-0.633984\pi\) |
0.660493 | + | 0.750832i | \(0.270347\pi\) | |||||||
\(312\) | −12.9145 | + | 21.3812i | −0.731141 | + | 1.21047i | ||||
\(313\) | 1.00298 | + | 6.97590i | 0.0566919 | + | 0.394301i | 0.998335 | + | 0.0576872i | \(0.0183726\pi\) |
−0.941643 | + | 0.336614i | \(0.890718\pi\) | |||||||
\(314\) | −12.0648 | + | 1.21528i | −0.680857 | + | 0.0685820i | ||||
\(315\) | −0.439056 | + | 0.297624i | −0.0247380 | + | 0.0167692i | ||||
\(316\) | 27.9040 | + | 6.46347i | 1.56972 | + | 0.363598i | ||||
\(317\) | −3.04171 | − | 0.144895i | −0.170840 | − | 0.00813810i | −0.0380122 | − | 0.999277i | \(-0.512103\pi\) |
−0.132827 | + | 0.991139i | \(0.542406\pi\) | |||||||
\(318\) | −12.6781 | − | 4.82058i | −0.710951 | − | 0.270325i | ||||
\(319\) | −18.0866 | − | 12.8794i | −1.01266 | − | 0.721110i | ||||
\(320\) | 0.439380 | + | 1.34048i | 0.0245621 | + | 0.0749350i | ||||
\(321\) | 14.0811 | − | 0.843915i | 0.785932 | − | 0.0471027i | ||||
\(322\) | −2.23021 | − | 1.91231i | −0.124285 | − | 0.106569i | ||||
\(323\) | 0.902381 | + | 2.60726i | 0.0502098 | + | 0.145072i | ||||
\(324\) | 3.19729 | − | 17.7138i | 0.177627 | − | 0.984098i | ||||
\(325\) | −19.9149 | + | 15.6613i | −1.10468 | + | 0.868731i | ||||
\(326\) | −2.52759 | − | 2.62346i | −0.139990 | − | 0.145300i | ||||
\(327\) | −8.00693 | − | 1.83881i | −0.442784 | − | 0.101687i | ||||
\(328\) | 11.2764 | + | 11.4635i | 0.622636 | + | 0.632967i | ||||
\(329\) | 0.661562 | + | 6.92819i | 0.0364731 | + | 0.381964i | ||||
\(330\) | −0.505984 | − | 0.842102i | −0.0278535 | − | 0.0463562i | ||||
\(331\) | 11.0951 | + | 21.5214i | 0.609840 | + | 1.18293i | 0.968396 | + | 0.249417i | \(0.0802390\pi\) |
−0.358556 | + | 0.933508i | \(0.616731\pi\) | |||||||
\(332\) | −12.4465 | + | 5.13339i | −0.683093 | + | 0.281732i | ||||
\(333\) | −28.3540 | − | 2.00735i | −1.55379 | − | 0.110002i | ||||
\(334\) | 10.2282 | − | 17.9300i | 0.559661 | − | 0.981087i | ||||
\(335\) | −0.648064 | − | 1.28966i | −0.0354075 | − | 0.0704617i | ||||
\(336\) | 6.88991 | − | 0.888321i | 0.375876 | − | 0.0484619i | ||||
\(337\) | −0.594747 | − | 2.45158i | −0.0323979 | − | 0.133546i | 0.953316 | − | 0.301975i | \(-0.0976458\pi\) |
−0.985714 | + | 0.168429i | \(0.946131\pi\) | |||||||
\(338\) | −14.5074 | − | 11.2874i | −0.789099 | − | 0.613952i | ||||
\(339\) | 0.237685 | + | 0.118869i | 0.0129093 | + | 0.00645609i | ||||
\(340\) | 0.141488 | − | 0.203122i | 0.00767327 | − | 0.0110159i | ||||
\(341\) | 0.137004 | + | 1.43477i | 0.00741916 | + | 0.0776969i | ||||
\(342\) | −1.09130 | + | 16.6404i | −0.0590107 | + | 0.899811i | ||||
\(343\) | 9.84722 | − | 8.53266i | 0.531700 | − | 0.460720i | ||||
\(344\) | −2.94014 | + | 10.6224i | −0.158522 | + | 0.572721i | ||||
\(345\) | −0.609251 | − | 0.170807i | −0.0328009 | − | 0.00919593i | ||||
\(346\) | 6.05124 | + | 4.26190i | 0.325317 | + | 0.229121i | ||||
\(347\) | 0.377733 | + | 1.09139i | 0.0202778 | + | 0.0585887i | 0.954686 | − | 0.297616i | \(-0.0961916\pi\) |
−0.934408 | + | 0.356205i | \(0.884070\pi\) | |||||||
\(348\) | 18.9866 | − | 27.9828i | 1.01779 | − | 1.50004i | ||||
\(349\) | −14.5044 | − | 9.32141i | −0.776402 | − | 0.498964i | 0.0914355 | − | 0.995811i | \(-0.470854\pi\) |
−0.867838 | + | 0.496847i | \(0.834491\pi\) | |||||||
\(350\) | 6.85602 | + | 1.62562i | 0.366470 | + | 0.0868929i | ||||
\(351\) | 25.3386 | + | 7.73877i | 1.35247 | + | 0.413065i | ||||
\(352\) | 0.945537 | + | 12.8319i | 0.0503973 | + | 0.683945i | ||||
\(353\) | −2.49592 | − | 0.118895i | −0.132844 | − | 0.00632815i | −0.0189455 | − | 0.999821i | \(-0.506031\pi\) |
−0.113899 | + | 0.993492i | \(0.536334\pi\) | |||||||
\(354\) | 2.94546 | − | 3.88304i | 0.156549 | − | 0.206381i | ||||
\(355\) | 1.64909 | − | 2.09699i | 0.0875246 | − | 0.111297i | ||||
\(356\) | 14.6441 | + | 6.50487i | 0.776137 | + | 0.344758i | ||||
\(357\) | −0.852003 | − | 0.871896i | −0.0450928 | − | 0.0461456i | ||||
\(358\) | 3.75183 | − | 27.0921i | 0.198290 | − | 1.43186i | ||||
\(359\) | 12.8654 | − | 8.26812i | 0.679012 | − | 0.436375i | −0.155152 | − | 0.987891i | \(-0.549587\pi\) |
0.834164 | + | 0.551516i | \(0.185950\pi\) | |||||||
\(360\) | 1.26474 | − | 0.799447i | 0.0666575 | − | 0.0421346i | ||||
\(361\) | 0.168930 | + | 3.54627i | 0.00889104 | + | 0.186646i | ||||
\(362\) | 14.5203 | + | 20.1685i | 0.763169 | + | 1.06003i | ||||
\(363\) | 2.96168 | + | 9.64737i | 0.155448 | + | 0.506356i | ||||
\(364\) | 0.106149 | + | 10.2246i | 0.00556370 | + | 0.535914i | ||||
\(365\) | 2.45803 | − | 1.41914i | 0.128659 | − | 0.0742813i | ||||
\(366\) | 4.12051 | + | 13.1780i | 0.215383 | + | 0.688823i | ||||
\(367\) | 11.3216 | − | 28.2801i | 0.590985 | − | 1.47621i | −0.267596 | − | 0.963531i | \(-0.586229\pi\) |
0.858581 | − | 0.512678i | \(-0.171347\pi\) | |||||||
\(368\) | 6.11500 | + | 5.59292i | 0.318766 | + | 0.291551i | ||||
\(369\) | 8.86634 | − | 14.5698i | 0.461563 | − | 0.758473i | ||||
\(370\) | −1.47019 | − | 1.84966i | −0.0764317 | − | 0.0961594i | ||||
\(371\) | −5.45196 | + | 1.05078i | −0.283052 | + | 0.0545538i | ||||
\(372\) | −2.17985 | + | 0.258074i | −0.113020 | + | 0.0133805i | ||||
\(373\) | 0.272493 | − | 0.471971i | 0.0141091 | − | 0.0244377i | −0.858885 | − | 0.512169i | \(-0.828842\pi\) |
0.872994 | + | 0.487731i | \(0.162175\pi\) | |||||||
\(374\) | 1.69869 | − | 1.48743i | 0.0878372 | − | 0.0769133i | ||||
\(375\) | 2.98234 | − | 0.612815i | 0.154007 | − | 0.0316456i | ||||
\(376\) | −1.23936 | − | 19.5928i | −0.0639151 | − | 1.01042i | ||||
\(377\) | 37.6163 | + | 32.5947i | 1.93734 | + | 1.67871i | ||||
\(378\) | −2.70001 | − | 6.85584i | −0.138873 | − | 0.352626i | ||||
\(379\) | −5.49241 | − | 13.7194i | −0.282126 | − | 0.704718i | −0.999964 | − | 0.00850682i | \(-0.997292\pi\) |
0.717837 | − | 0.696211i | \(-0.245132\pi\) | |||||||
\(380\) | −1.08066 | + | 0.868144i | −0.0554365 | + | 0.0445349i | ||||
\(381\) | −8.48760 | + | 25.5319i | −0.434833 | + | 1.30804i | ||||
\(382\) | 17.6296 | − | 7.16421i | 0.902006 | − | 0.366553i | ||||
\(383\) | 10.5181 | + | 10.0290i | 0.537449 | + | 0.512456i | 0.909471 | − | 0.415768i | \(-0.136487\pi\) |
−0.372022 | + | 0.928224i | \(0.621335\pi\) | |||||||
\(384\) | −19.5053 | + | 1.88213i | −0.995377 | + | 0.0960471i | ||||
\(385\) | −0.357452 | − | 0.184279i | −0.0182174 | − | 0.00939174i | ||||
\(386\) | 2.09224 | + | 4.51914i | 0.106492 | + | 0.230018i | ||||
\(387\) | 11.6872 | + | 0.269768i | 0.594096 | + | 0.0137131i | ||||
\(388\) | −0.129827 | + | 3.48662i | −0.00659096 | + | 0.177006i | ||||
\(389\) | 3.06746 | − | 15.9155i | 0.155526 | − | 0.806947i | −0.817442 | − | 0.576010i | \(-0.804609\pi\) |
0.972969 | − | 0.230937i | \(-0.0741791\pi\) | |||||||
\(390\) | 0.949675 | + | 1.98699i | 0.0480887 | + | 0.100615i | ||||
\(391\) | 0.138232 | − | 1.44763i | 0.00699067 | − | 0.0732097i | ||||
\(392\) | −13.1629 | + | 10.6873i | −0.664827 | + | 0.539790i | ||||
\(393\) | 9.45795 | − | 3.40384i | 0.477090 | − | 0.171701i | ||||
\(394\) | −6.63348 | − | 33.4816i | −0.334190 | − | 1.68678i | ||||
\(395\) | 1.82765 | − | 1.74266i | 0.0919592 | − | 0.0876829i | ||||
\(396\) | 12.9523 | − | 4.29947i | 0.650877 | − | 0.216057i | ||||
\(397\) | 4.01891 | + | 8.80019i | 0.201703 | + | 0.441669i | 0.983270 | − | 0.182153i | \(-0.0583065\pi\) |
−0.781567 | + | 0.623822i | \(0.785579\pi\) | |||||||
\(398\) | 15.6235 | + | 0.662976i | 0.783133 | + | 0.0332320i | ||||
\(399\) | 3.20221 | + | 6.02877i | 0.160311 | + | 0.301816i | ||||
\(400\) | −19.1827 | − | 5.20248i | −0.959134 | − | 0.260124i | ||||
\(401\) | − | 18.8043i | − | 0.939043i | −0.882921 | − | 0.469522i | \(-0.844426\pi\) | ||
0.882921 | − | 0.469522i | \(-0.155574\pi\) | |||||||
\(402\) | 19.4507 | − | 4.86525i | 0.970112 | − | 0.242656i | ||||
\(403\) | − | 3.23091i | − | 0.160943i | ||||||
\(404\) | −19.2688 | − | 19.7930i | −0.958661 | − | 0.984740i | ||||
\(405\) | −1.15013 | − | 1.09348i | −0.0571505 | − | 0.0543356i | ||||
\(406\) | 0.586882 | − | 13.8303i | 0.0291265 | − | 0.686384i | ||||
\(407\) | −8.95271 | − | 19.6037i | −0.443769 | − | 0.971719i | ||||
\(408\) | 2.32334 | + | 2.53514i | 0.115022 | + | 0.125508i | ||||
\(409\) | −10.1278 | + | 9.65686i | −0.500788 | + | 0.477501i | −0.897856 | − | 0.440288i | \(-0.854876\pi\) |
0.397068 | + | 0.917789i | \(0.370028\pi\) | |||||||
\(410\) | 1.39068 | − | 0.275526i | 0.0686808 | − | 0.0136073i | ||||
\(411\) | −5.37980 | − | 14.9484i | −0.265366 | − | 0.737349i | ||||
\(412\) | −10.7176 | + | 27.5982i | −0.528018 | + | 1.35967i | ||||
\(413\) | 0.189646 | − | 1.98606i | 0.00933187 | − | 0.0977277i | ||||
\(414\) | 4.16675 | − | 7.73927i | 0.204785 | − | 0.380365i | ||||
\(415\) | −0.224646 | + | 1.16557i | −0.0110274 | + | 0.0572158i | ||||
\(416\) | 0.624303 | − | 28.8363i | 0.0306090 | − | 1.41381i | ||||
\(417\) | 5.51229 | + | 4.22657i | 0.269938 | + | 0.206976i | ||||
\(418\) | −11.4735 | + | 5.31194i | −0.561190 | + | 0.259816i | ||||
\(419\) | −30.4273 | − | 15.6864i | −1.48647 | − | 0.766329i | −0.491926 | − | 0.870637i | \(-0.663707\pi\) |
−0.994545 | + | 0.104308i | \(0.966737\pi\) | |||||||
\(420\) | 0.268258 | − | 0.550610i | 0.0130897 | − | 0.0268670i | ||||
\(421\) | −28.4327 | − | 27.1105i | −1.38573 | − | 1.32129i | −0.892260 | − | 0.451521i | \(-0.850881\pi\) |
−0.493465 | − | 0.869765i | \(-0.664270\pi\) | |||||||
\(422\) | −0.121967 | − | 0.300135i | −0.00593728 | − | 0.0146104i | ||||
\(423\) | −19.8295 | + | 6.35457i | −0.964142 | + | 0.308970i | ||||
\(424\) | 15.4659 | − | 2.47005i | 0.751091 | − | 0.119956i | ||||
\(425\) | 1.29629 | + | 3.23797i | 0.0628792 | + | 0.157065i | ||||
\(426\) | 23.4130 | + | 28.7259i | 1.13437 | + | 1.39178i | ||||
\(427\) | 4.27149 | + | 3.70127i | 0.206712 | + | 0.179117i | ||||
\(428\) | −13.6107 | + | 8.94809i | −0.657900 | + | 0.432522i | ||||
\(429\) | 4.04308 | + | 19.6761i | 0.195202 | + | 0.949972i | ||||
\(430\) | 0.640159 | + | 0.731080i | 0.0308712 | + | 0.0352558i | ||||
\(431\) | −7.54229 | + | 13.0636i | −0.363299 | + | 0.629253i | −0.988502 | − | 0.151210i | \(-0.951683\pi\) |
0.625202 | + | 0.780463i | \(0.285016\pi\) | |||||||
\(432\) | 6.99298 | + | 19.5729i | 0.336450 | + | 0.941701i | ||||
\(433\) | −25.6112 | + | 4.93616i | −1.23080 | + | 0.237217i | −0.762871 | − | 0.646551i | \(-0.776211\pi\) |
−0.467927 | + | 0.883767i | \(0.654999\pi\) | |||||||
\(434\) | −0.703423 | + | 0.559111i | −0.0337654 | + | 0.0268382i | ||||
\(435\) | −1.14193 | − | 2.75406i | −0.0547515 | − | 0.132047i | ||||
\(436\) | 9.07378 | − | 2.76694i | 0.434555 | − | 0.132512i | ||||
\(437\) | −3.02653 | + | 7.55990i | −0.144779 | + | 0.361639i | ||||
\(438\) | 11.7666 | + | 37.6311i | 0.562228 | + | 1.79808i | ||||
\(439\) | 15.7093 | − | 9.06977i | 0.749764 | − | 0.432876i | −0.0758447 | − | 0.997120i | \(-0.524165\pi\) |
0.825609 | + | 0.564243i | \(0.190832\pi\) | |||||||
\(440\) | 0.991136 | + | 0.551836i | 0.0472505 | + | 0.0263077i | ||||
\(441\) | 14.4045 | + | 10.7669i | 0.685929 | + | 0.512708i | ||||
\(442\) | −4.10762 | + | 2.95727i | −0.195379 | + | 0.140663i | ||||
\(443\) | 0.734514 | + | 15.4194i | 0.0348978 | + | 0.732596i | 0.946729 | + | 0.322031i | \(0.104365\pi\) |
−0.911831 | + | 0.410565i | \(0.865332\pi\) | |||||||
\(444\) | 29.5399 | − | 14.3073i | 1.40190 | − | 0.678997i | ||||
\(445\) | 1.18848 | − | 0.763791i | 0.0563395 | − | 0.0362072i | ||||
\(446\) | 15.4415 | + | 2.13840i | 0.731174 | + | 0.101256i | ||||
\(447\) | 7.80918 | − | 7.63101i | 0.369362 | − | 0.360934i | ||||
\(448\) | −6.38618 | + | 4.85422i | −0.301719 | + | 0.229340i | ||||
\(449\) | −8.67903 | + | 11.0363i | −0.409589 | + | 0.520835i | −0.946456 | − | 0.322832i | \(-0.895365\pi\) |
0.536867 | + | 0.843667i | \(0.319608\pi\) | |||||||
\(450\) | −0.377072 | + | 21.0779i | −0.0177753 | + | 0.993622i | ||||
\(451\) | 12.9165 | + | 0.615289i | 0.608215 | + | 0.0289728i | ||||
\(452\) | −0.306348 | + | 0.0177824i | −0.0144094 | + | 0.000836412i | ||||
\(453\) | −1.62243 | + | 0.0198934i | −0.0762283 | + | 0.000934671i | ||||
\(454\) | 8.11978 | − | 34.2451i | 0.381080 | − | 1.60720i | ||||
\(455\) | 0.758394 | + | 0.487391i | 0.0355541 | + | 0.0228492i | ||||
\(456\) | −8.48358 | − | 17.2865i | −0.397280 | − | 0.809513i | ||||
\(457\) | −13.5873 | − | 39.2579i | −0.635587 | − | 1.83641i | −0.541238 | − | 0.840870i | \(-0.682044\pi\) |
−0.0943497 | − | 0.995539i | \(-0.530077\pi\) | |||||||
\(458\) | −6.00179 | + | 8.52161i | −0.280445 | + | 0.398189i | ||||
\(459\) | 2.00496 | − | 3.04681i | 0.0935837 | − | 0.142213i | ||||
\(460\) | 0.708205 | − | 0.179613i | 0.0330202 | − | 0.00837452i | ||||
\(461\) | 1.30873 | − | 1.13402i | 0.0609538 | − | 0.0528168i | −0.623851 | − | 0.781543i | \(-0.714433\pi\) |
0.684805 | + | 0.728726i | \(0.259887\pi\) | |||||||
\(462\) | 3.58417 | − | 4.28522i | 0.166751 | − | 0.199366i | ||||
\(463\) | 2.76673 | + | 28.9745i | 0.128581 | + | 1.34656i | 0.797543 | + | 0.603263i | \(0.206133\pi\) |
−0.668962 | + | 0.743297i | \(0.733261\pi\) | |||||||
\(464\) | −2.90390 | + | 38.9393i | −0.134810 | + | 1.80771i | ||||
\(465\) | −0.0865650 | + | 0.173091i | −0.00401435 | + | 0.00802689i | ||||
\(466\) | −10.9512 | + | 14.0753i | −0.507303 | + | 0.652025i | ||||
\(467\) | 1.19749 | + | 4.93611i | 0.0554131 | + | 0.228416i | 0.992784 | − | 0.119917i | \(-0.0382629\pi\) |
−0.937371 | + | 0.348333i | \(0.886748\pi\) | |||||||
\(468\) | −29.8195 | + | 6.83444i | −1.37840 | + | 0.315922i | ||||
\(469\) | 5.72498 | − | 5.88112i | 0.264355 | − | 0.271565i | ||||
\(470\) | −1.50344 | − | 0.857638i | −0.0693486 | − | 0.0395599i | ||||
\(471\) | −11.3421 | − | 9.58705i | −0.522616 | − | 0.441748i | ||||
\(472\) | −0.714077 | + | 5.58227i | −0.0328680 | + | 0.256945i | ||||
\(473\) | 4.06144 | + | 7.87810i | 0.186745 | + | 0.362235i | ||||
\(474\) | 18.0675 | + | 30.0696i | 0.829870 | + | 1.38114i | ||||
\(475\) | −1.85652 | − | 19.4424i | −0.0851832 | − | 0.892079i | ||||
\(476\) | 1.35468 | + | 0.382539i | 0.0620914 | + | 0.0175336i | ||||
\(477\) | −6.55032 | − | 15.2660i | −0.299919 | − | 0.698982i | ||||
\(478\) | −6.70075 | + | 6.45589i | −0.306485 | + | 0.295285i | ||||
\(479\) | 8.42156 | − | 6.62279i | 0.384791 | − | 0.302603i | −0.406961 | − | 0.913445i | \(-0.633412\pi\) |
0.791752 | + | 0.610842i | \(0.209169\pi\) | |||||||
\(480\) | −0.806050 | + | 1.52813i | −0.0367910 | + | 0.0697493i | ||||
\(481\) | 15.8009 | + | 45.6538i | 0.720460 | + | 2.08163i | ||||
\(482\) | 15.1599 | − | 17.6800i | 0.690513 | − | 0.805303i | ||||
\(483\) | −0.215255 | − | 3.59163i | −0.00979443 | − | 0.163425i | ||||
\(484\) | −8.51665 | − | 7.95346i | −0.387121 | − | 0.361521i | ||||
\(485\) | 0.250574 | + | 0.178433i | 0.0113780 | + | 0.00810223i | ||||
\(486\) | 18.3173 | − | 12.2669i | 0.830889 | − | 0.556439i | ||||
\(487\) | 18.8244 | + | 0.896716i | 0.853015 | + | 0.0406341i | 0.469534 | − | 0.882915i | \(-0.344422\pi\) |
0.383481 | + | 0.923549i | \(0.374725\pi\) | |||||||
\(488\) | −11.7085 | − | 10.8210i | −0.530018 | − | 0.489844i | ||||
\(489\) | 0.157640 | − | 4.45892i | 0.00712871 | − | 0.201640i | ||||
\(490\) | 0.149819 | + | 1.48734i | 0.00676812 | + | 0.0671913i | ||||
\(491\) | −5.65312 | − | 39.3183i | −0.255122 | − | 1.77441i | −0.566439 | − | 0.824103i | \(-0.691679\pi\) |
0.311318 | − | 0.950306i | \(-0.399230\pi\) | |||||||
\(492\) | −0.491466 | + | 19.6879i | −0.0221570 | + | 0.887599i | ||||
\(493\) | 5.76436 | − | 3.70453i | 0.259614 | − | 0.166844i | ||||
\(494\) | 26.7354 | − | 9.40888i | 1.20288 | − | 0.423326i | ||||
\(495\) | 0.310577 | − | 1.16244i | 0.0139594 | − | 0.0522479i | ||||
\(496\) | 2.03370 | − | 1.51279i | 0.0913158 | − | 0.0679263i | ||||
\(497\) | 14.3357 | + | 4.96165i | 0.643046 | + | 0.222560i | ||||
\(498\) | −15.1166 | − | 6.58718i | −0.677391 | − | 0.295178i | ||||
\(499\) | 9.08086 | − | 5.24284i | 0.406515 | − | 0.234702i | −0.282776 | − | 0.959186i | \(-0.591255\pi\) |
0.689291 | + | 0.724484i | \(0.257922\pi\) | |||||||
\(500\) | −2.63292 | + | 2.32973i | −0.117748 | + | 0.104189i | ||||
\(501\) | 24.4939 | − | 6.26111i | 1.09431 | − | 0.279726i | ||||
\(502\) | 22.8305 | + | 21.5437i | 1.01897 | + | 0.961542i | ||||
\(503\) | −5.77205 | + | 23.7927i | −0.257363 | + | 1.06086i | 0.685603 | + | 0.727975i | \(0.259538\pi\) |
−0.942966 | + | 0.332889i | \(0.891977\pi\) | |||||||
\(504\) | 6.64826 | + | 5.30949i | 0.296137 | + | 0.236504i | ||||
\(505\) | −2.39142 | + | 0.460909i | −0.106417 | + | 0.0205102i | ||||
\(506\) | 6.66406 | − | 0.0345912i | 0.296253 | − | 0.00153777i | ||||
\(507\) | −2.41453 | − | 22.3825i | −0.107233 | − | 0.994040i | ||||
\(508\) | −6.19604 | − | 30.4439i | −0.274905 | − | 1.35073i | ||||
\(509\) | −31.9375 | − | 14.5854i | −1.41560 | − | 0.646485i | −0.446873 | − | 0.894597i | \(-0.647462\pi\) |
−0.968731 | + | 0.248113i | \(0.920190\pi\) | |||||||
\(510\) | 0.299293 | − | 0.0483768i | 0.0132529 | − | 0.00214216i | ||||
\(511\) | 12.1977 | + | 10.5694i | 0.539594 | + | 0.467561i | ||||
\(512\) | 18.4433 | − | 13.1089i | 0.815088 | − | 0.579337i | ||||
\(513\) | −15.5792 | + | 13.2072i | −0.687841 | + | 0.583110i | ||||
\(514\) | −10.7322 | + | 27.2164i | −0.473379 | + | 1.20047i | ||||
\(515\) | 1.51409 | + | 2.12625i | 0.0667190 | + | 0.0936937i | ||||
\(516\) | −11.8551 | + | 6.45559i | −0.521894 | + | 0.284192i | ||||
\(517\) | −11.4259 | − | 10.8946i | −0.502510 | − | 0.479143i | ||||
\(518\) | 7.20523 | − | 11.3406i | 0.316580 | − | 0.498276i | ||||
\(519\) | 1.39998 | + | 8.95612i | 0.0614522 | + | 0.393130i | ||||
\(520\) | −2.09415 | − | 1.44263i | −0.0918347 | − | 0.0632635i | ||||
\(521\) | −11.7776 | − | 40.1109i | −0.515987 | − | 1.75729i | −0.643493 | − | 0.765452i | \(-0.722516\pi\) |
0.127506 | − | 0.991838i | \(-0.459303\pi\) | |||||||
\(522\) | 40.8013 | − | 7.10938i | 1.78582 | − | 0.311169i | ||||
\(523\) | −8.29244 | + | 43.0253i | −0.362603 | + | 1.88136i | 0.100304 | + | 0.994957i | \(0.468018\pi\) |
−0.462907 | + | 0.886407i | \(0.653194\pi\) | |||||||
\(524\) | −7.50939 | + | 8.85029i | −0.328049 | + | 0.386627i | ||||
\(525\) | 4.40615 | + | 7.42006i | 0.192300 | + | 0.323838i | ||||
\(526\) | 0.0708807 | + | 0.475453i | 0.00309055 | + | 0.0207308i | ||||
\(527\) | −0.426768 | − | 0.125310i | −0.0185903 | − | 0.00545861i | ||||
\(528\) | −10.4921 | + | 11.7578i | −0.456610 | + | 0.511692i | ||||
\(529\) | −13.5395 | + | 12.9099i | −0.588675 | + | 0.561301i | ||||
\(530\) | 0.567095 | − | 1.25902i | 0.0246330 | − | 0.0546883i | ||||
\(531\) | 5.92641 | − | 0.712929i | 0.257184 | − | 0.0309385i | ||||
\(532\) | −6.67505 | − | 4.19253i | −0.289400 | − | 0.181769i | ||||
\(533\) | −28.6924 | − | 4.12534i | −1.24280 | − | 0.178688i | ||||
\(534\) | 6.74141 | + | 18.4309i | 0.291729 | + | 0.797584i | ||||
\(535\) | 1.43610i | 0.0620880i | ||||||||
\(536\) | −16.6720 | + | 16.0638i | −0.720119 | + | 0.693851i | ||||
\(537\) | 27.0460 | − | 19.7636i | 1.16712 | − | 0.852861i | ||||
\(538\) | 3.29481 | − | 11.4404i | 0.142049 | − | 0.493232i | ||||
\(539\) | −1.94045 | + | 13.4961i | −0.0835811 | + | 0.581320i | ||||
\(540\) | 1.78064 | + | 0.432802i | 0.0766268 | + | 0.0186248i | ||||
\(541\) | 0.679516 | + | 1.48793i | 0.0292147 | + | 0.0639712i | 0.923677 | − | 0.383173i | \(-0.125169\pi\) |
−0.894462 | + | 0.447144i | \(0.852441\pi\) | |||||||
\(542\) | −15.4625 | − | 6.96471i | −0.664170 | − | 0.299160i | ||||
\(543\) | −5.39337 | + | 29.9553i | −0.231452 | + | 1.28551i | ||||
\(544\) | −3.78475 | − | 1.20088i | −0.162270 | − | 0.0514871i | ||||
\(545\) | 0.235631 | − | 0.802485i | 0.0100933 | − | 0.0343747i | ||||
\(546\) | −8.91126 | + | 8.79883i | −0.381367 | + | 0.376555i | ||||
\(547\) | −2.18862 | + | 22.9202i | −0.0935785 | + | 0.979999i | 0.819735 | + | 0.572742i | \(0.194120\pi\) |
−0.913314 | + | 0.407256i | \(0.866486\pi\) | |||||||
\(548\) | 13.9880 | + | 11.8686i | 0.597536 | + | 0.507004i | ||||
\(549\) | −8.09349 | + | 14.8476i | −0.345422 | + | 0.633680i | ||||
\(550\) | −14.1684 | + | 7.39766i | −0.604143 | + | 0.315437i | ||||
\(551\) | −36.8158 | + | 10.8101i | −1.56841 | + | 0.460526i | ||||
\(552\) | 0.282451 | + | 10.1455i | 0.0120219 | + | 0.431821i | ||||
\(553\) | 12.7638 | + | 6.58019i | 0.542772 | + | 0.279818i | ||||
\(554\) | 15.1372 | + | 9.61745i | 0.643119 | + | 0.408606i | ||||
\(555\) | 0.376682 | − | 2.86918i | 0.0159892 | − | 0.121790i | ||||
\(556\) | −7.95053 | − | 1.05899i | −0.337178 | − | 0.0449113i | ||||
\(557\) | 14.5090 | − | 10.3318i | 0.614765 | − | 0.437772i | −0.229791 | − | 0.973240i | \(-0.573804\pi\) |
0.844556 | + | 0.535468i | \(0.179865\pi\) | |||||||
\(558\) | −2.08317 | − | 1.69939i | −0.0881875 | − | 0.0719411i | ||||
\(559\) | −7.38450 | − | 18.4456i | −0.312331 | − | 0.780165i | ||||
\(560\) | 0.0483106 | + | 0.705581i | 0.00204150 | + | 0.0298162i | ||||
\(561\) | 2.75582 | + | 0.229090i | 0.116351 | + | 0.00967219i | ||||
\(562\) | −11.9538 | + | 23.4856i | −0.504240 | + | 0.990681i | ||||
\(563\) | 15.6725 | − | 34.3180i | 0.660516 | − | 1.44633i | −0.221524 | − | 0.975155i | \(-0.571103\pi\) |
0.882040 | − | 0.471174i | \(-0.156170\pi\) | |||||||
\(564\) | 16.1941 | − | 17.7727i | 0.681894 | − | 0.748367i | ||||
\(565\) | −0.0135274 | + | 0.0234302i | −0.000569103 | + | 0.000985715i | ||||
\(566\) | −0.0426852 | − | 8.22339i | −0.00179419 | − | 0.345655i | ||||
\(567\) | 3.73700 | − | 8.21424i | 0.156939 | − | 0.344966i | ||||
\(568\) | −39.9693 | − | 15.2836i | −1.67707 | − | 0.641284i | ||||
\(569\) | −25.4589 | − | 6.17625i | −1.06729 | − | 0.258922i | −0.336612 | − | 0.941643i | \(-0.609281\pi\) |
−0.730679 | + | 0.682721i | \(0.760796\pi\) | |||||||
\(570\) | −1.68440 | − | 0.212249i | −0.0705516 | − | 0.00889012i | ||||
\(571\) | −1.15622 | + | 2.88810i | −0.0483864 | + | 0.120863i | −0.950592 | − | 0.310443i | \(-0.899523\pi\) |
0.902206 | + | 0.431306i | \(0.141947\pi\) | |||||||
\(572\) | −15.3705 | − | 17.3708i | −0.642672 | − | 0.726309i | ||||
\(573\) | 21.3174 | + | 9.42119i | 0.890547 | + | 0.393576i | ||||
\(574\) | 4.06709 | + | 6.96071i | 0.169757 | + | 0.290534i | ||||
\(575\) | −3.36694 | + | 9.72812i | −0.140411 | + | 0.405691i | ||||
\(576\) | −18.2642 | − | 15.5699i | −0.761007 | − | 0.648744i | ||||
\(577\) | −1.29309 | − | 27.1453i | −0.0538321 | − | 1.13007i | −0.850608 | − | 0.525800i | \(-0.823766\pi\) |
0.796776 | − | 0.604275i | \(-0.206537\pi\) | |||||||
\(578\) | −7.74976 | − | 22.0210i | −0.322347 | − | 0.915952i | ||||
\(579\) | −2.19725 | + | 5.68967i | −0.0913145 | + | 0.236454i | ||||
\(580\) | 2.72805 | + | 2.09989i | 0.113276 | + | 0.0871933i | ||||
\(581\) | −6.68130 | + | 0.960625i | −0.277187 | + | 0.0398535i | ||||
\(582\) | −3.18013 | + | 2.85427i | −0.131821 | + | 0.118313i | ||||
\(583\) | 7.78562 | − | 9.90023i | 0.322448 | − | 0.410025i | ||||
\(584\) | −33.4349 | − | 30.9005i | −1.38354 | − | 1.27867i | ||||
\(585\) | −0.940757 | + | 2.52784i | −0.0388955 | + | 0.104513i | ||||
\(586\) | −5.46619 | − | 8.40926i | −0.225806 | − | 0.347383i | ||||
\(587\) | 12.8239 | − | 18.0087i | 0.529300 | − | 0.743298i | −0.460202 | − | 0.887814i | \(-0.652223\pi\) |
0.989502 | + | 0.144516i | \(0.0461625\pi\) | |||||||
\(588\) | −20.6161 | − | 2.48917i | −0.850194 | − | 0.102652i | ||||
\(589\) | 2.09530 | + | 1.34657i | 0.0863352 | + | 0.0554843i | ||||
\(590\) | 0.376666 | + | 0.322975i | 0.0155071 | + | 0.0132967i | ||||
\(591\) | 23.8291 | − | 34.3469i | 0.980197 | − | 1.41284i | ||||
\(592\) | −21.3385 | + | 31.3222i | −0.877005 | + | 1.28733i | ||||
\(593\) | 13.1177 | + | 16.6805i | 0.538678 | + | 0.684985i | 0.976855 | − | 0.213904i | \(-0.0686179\pi\) |
−0.438176 | + | 0.898889i | \(0.644375\pi\) | |||||||
\(594\) | 14.8130 | + | 7.74244i | 0.607785 | + | 0.317676i | ||||
\(595\) | 0.0937934 | − | 0.0812724i | 0.00384515 | − | 0.00333184i | ||||
\(596\) | −3.42623 | + | 12.1332i | −0.140344 | + | 0.496996i | ||||
\(597\) | 12.7184 | + | 14.3192i | 0.520529 | + | 0.586047i | ||||
\(598\) | −14.8784 | − | 1.34282i | −0.608421 | − | 0.0549118i | ||||
\(599\) | 39.6289 | − | 20.4301i | 1.61919 | − | 0.834753i | 0.620472 | − | 0.784229i | \(-0.286941\pi\) |
0.998723 | − | 0.0505241i | \(-0.0160892\pi\) | |||||||
\(600\) | −11.7522 | − | 21.3177i | −0.479782 | − | 0.870293i | ||||
\(601\) | −1.38036 | − | 5.68993i | −0.0563061 | − | 0.232097i | 0.936705 | − | 0.350120i | \(-0.113859\pi\) |
−0.993011 | + | 0.118023i | \(0.962344\pi\) | |||||||
\(602\) | −2.73802 | + | 4.79976i | −0.111593 | + | 0.195623i | ||||
\(603\) | 20.8440 | + | 12.9819i | 0.848832 | + | 0.528663i | ||||
\(604\) | 1.61274 | − | 0.953573i | 0.0656214 | − | 0.0388003i | ||||
\(605\) | −0.998428 | + | 0.242216i | −0.0405919 | + | 0.00984748i | ||||
\(606\) | 1.01981 | − | 33.8162i | 0.0414271 | − | 1.37369i | ||||
\(607\) | −20.4820 | − | 39.7295i | −0.831338 | − | 1.61257i | −0.789745 | − | 0.613435i | \(-0.789787\pi\) |
−0.0415927 | − | 0.999135i | \(-0.513243\pi\) | |||||||
\(608\) | 18.4406 | + | 12.4231i | 0.747865 | + | 0.503825i | ||||
\(609\) | 12.6757 | − | 11.2586i | 0.513646 | − | 0.456222i | ||||
\(610\) | −1.36427 | + | 0.338477i | −0.0552378 | + | 0.0137045i | ||||
\(611\) | 23.1757 | + | 26.7462i | 0.937587 | + | 1.08203i | ||||
\(612\) | −0.253789 | + | 4.20391i | −0.0102588 | + | 0.169933i | ||||
\(613\) | 9.14933 | − | 7.19512i | 0.369538 | − | 0.290608i | −0.416070 | − | 0.909333i | \(-0.636593\pi\) |
0.785608 | + | 0.618725i | \(0.212350\pi\) | |||||||
\(614\) | −20.4854 | − | 14.4279i | −0.826724 | − | 0.582264i | ||||
\(615\) | 1.42662 | + | 0.989757i | 0.0575269 | + | 0.0399109i | ||||
\(616\) | −1.12204 | + | 6.35244i | −0.0452081 | + | 0.255947i | ||||
\(617\) | 16.7998 | − | 26.1410i | 0.676334 | − | 1.05240i | −0.318205 | − | 0.948022i | \(-0.603080\pi\) |
0.994538 | − | 0.104374i | \(-0.0332838\pi\) | |||||||
\(618\) | −33.4224 | + | 14.0619i | −1.34445 | + | 0.565652i | ||||
\(619\) | −14.1562 | − | 10.0806i | −0.568985 | − | 0.405173i | 0.259037 | − | 0.965867i | \(-0.416595\pi\) |
−0.828023 | + | 0.560695i | \(0.810534\pi\) | |||||||
\(620\) | −0.0129498 | − | 0.223094i | −0.000520075 | − | 0.00895966i | ||||
\(621\) | 10.3612 | − | 2.92097i | 0.415782 | − | 0.117215i | ||||
\(622\) | −7.15408 | + | 2.14103i | −0.286853 | + | 0.0858473i | ||||
\(623\) | 6.31483 | + | 4.96604i | 0.252998 | + | 0.198960i | ||||
\(624\) | 25.9188 | − | 24.0020i | 1.03758 | − | 0.960850i | ||||
\(625\) | −3.49163 | − | 24.2848i | −0.139665 | − | 0.971394i | ||||
\(626\) | 1.36720 | − | 9.87264i | 0.0546445 | − | 0.394590i | ||||
\(627\) | −14.4454 | − | 5.57854i | −0.576892 | − | 0.222786i | ||||
\(628\) | 16.8714 | + | 3.07041i | 0.673244 | + | 0.122523i | ||||
\(629\) | 6.64321 | − | 0.316455i | 0.264882 | − | 0.0126179i | ||||
\(630\) | 0.713152 | − | 0.232626i | 0.0284127 | − | 0.00926805i | ||||
\(631\) | −31.1243 | − | 10.7722i | −1.23904 | − | 0.428835i | −0.372540 | − | 0.928016i | \(-0.621513\pi\) |
−0.866498 | + | 0.499181i | \(0.833634\pi\) | |||||||
\(632\) | −35.3912 | − | 19.7048i | −1.40779 | − | 0.783815i | ||||
\(633\) | 0.160392 | − | 0.362919i | 0.00637500 | − | 0.0144248i | ||||
\(634\) | 4.07691 | + | 1.38738i | 0.161915 | + | 0.0550998i | ||||
\(635\) | −2.54292 | − | 1.01803i | −0.100913 | − | 0.0403994i | ||||
\(636\) | 15.3425 | + | 11.5130i | 0.608371 | + | 0.456521i | ||||
\(637\) | 7.20598 | − | 29.7034i | 0.285511 | − | 1.17689i | ||||
\(638\) | 19.5386 | + | 24.5816i | 0.773539 | + | 0.973196i | ||||
\(639\) | −5.35583 | + | 45.0704i | −0.211873 | + | 1.78296i | ||||
\(640\) | −0.0724703 | − | 1.99364i | −0.00286464 | − | 0.0788057i | ||||
\(641\) | −0.0176115 | − | 0.0101680i | −0.000695611 | − | 0.000401611i | 0.499652 | − | 0.866226i | \(-0.333461\pi\) |
−0.500348 | + | 0.865825i | \(0.666795\pi\) | |||||||
\(642\) | −19.4662 | − | 4.36423i | −0.768271 | − | 0.172242i | ||||
\(643\) | 15.8118 | + | 7.22099i | 0.623555 | + | 0.284768i | 0.702029 | − | 0.712148i | \(-0.252277\pi\) |
−0.0784740 | + | 0.996916i | \(0.525005\pi\) | |||||||
\(644\) | 2.28236 | + | 3.47165i | 0.0899376 | + | 0.136802i | ||||
\(645\) | −0.0985954 | + | 1.18604i | −0.00388219 | + | 0.0467005i | ||||
\(646\) | −0.205883 | − | 3.89638i | −0.00810037 | − | 0.153301i | ||||
\(647\) | 9.92309 | − | 3.97260i | 0.390117 | − | 0.156179i | −0.168308 | − | 0.985734i | \(-0.553830\pi\) |
0.558425 | + | 0.829555i | \(0.311406\pi\) | |||||||
\(648\) | −11.2779 | + | 22.8213i | −0.443037 | + | 0.896503i | ||||
\(649\) | 2.62515 | + | 3.68651i | 0.103046 | + | 0.144708i | ||||
\(650\) | 33.1935 | − | 13.4890i | 1.30195 | − | 0.529081i | ||||
\(651\) | −1.09114 | − | 0.143251i | −0.0427653 | − | 0.00561445i | ||||
\(652\) | 2.40817 | + | 4.55447i | 0.0943110 | + | 0.178367i | ||||
\(653\) | 0.0950101 | − | 0.184294i | 0.00371803 | − | 0.00721198i | −0.886969 | − | 0.461829i | \(-0.847193\pi\) |
0.890687 | + | 0.454617i | \(0.150224\pi\) | |||||||
\(654\) | 10.1616 | + | 5.63267i | 0.397348 | + | 0.220255i | ||||
\(655\) | 0.288304 | + | 0.981872i | 0.0112650 | + | 0.0383649i | ||||
\(656\) | −10.8378 | − | 19.9920i | −0.423144 | − | 0.780558i | ||||
\(657\) | −23.1118 | + | 42.3989i | −0.901679 | + | 1.65414i | ||||
\(658\) | 1.81252 | − | 9.67418i | 0.0706593 | − | 0.377139i | ||||
\(659\) | 30.1829 | + | 2.88212i | 1.17576 | + | 0.112271i | 0.664590 | − | 0.747208i | \(-0.268606\pi\) |
0.511170 | + | 0.859480i | \(0.329212\pi\) | |||||||
\(660\) | 0.358038 | + | 1.34243i | 0.0139366 | + | 0.0522540i | ||||
\(661\) | −24.1599 | − | 7.09398i | −0.939711 | − | 0.275924i | −0.224214 | − | 0.974540i | \(-0.571981\pi\) |
−0.715497 | + | 0.698616i | \(0.753800\pi\) | |||||||
\(662\) | −6.65487 | − | 33.5896i | −0.258649 | − | 1.30550i | ||||
\(663\) | −6.10085 | − | 1.09844i | −0.236937 | − | 0.0426599i | ||||
\(664\) | 18.9237 | − | 2.10483i | 0.734381 | − | 0.0816831i | ||||
\(665\) | −0.632162 | + | 0.288699i | −0.0245142 | + | 0.0111953i | ||||
\(666\) | 37.7468 | + | 13.8252i | 1.46266 | + | 0.535715i | ||||
\(667\) | 20.0182 | + | 2.87819i | 0.775109 | + | 0.111444i | ||||
\(668\) | −20.9173 | + | 20.3634i | −0.809316 | + | 0.787883i | ||||
\(669\) | 11.2645 | + | 15.4152i | 0.435510 | + | 0.595986i | ||||
\(670\) | 0.375955 | + | 2.00626i | 0.0145244 | + | 0.0775086i | ||||
\(671\) | −12.8210 | −0.494949 | ||||||||
\(672\) | −9.71091 | − | 1.48937i | −0.374607 | − | 0.0574539i | ||||
\(673\) | 4.03278 | − | 28.0486i | 0.155452 | − | 1.08119i | −0.751431 | − | 0.659812i | \(-0.770636\pi\) |
0.906883 | − | 0.421382i | \(-0.138455\pi\) | |||||||
\(674\) | −0.151255 | + | 3.56441i | −0.00582611 | + | 0.137296i | ||||
\(675\) | −18.8779 | + | 17.6141i | −0.726610 | + | 0.677968i | ||||
\(676\) | 15.2976 | + | 21.0172i | 0.588368 | + | 0.808354i | ||||
\(677\) | −19.0975 | − | 20.0289i | −0.733977 | − | 0.769773i | 0.245917 | − | 0.969291i | \(-0.420911\pi\) |
−0.979894 | + | 0.199518i | \(0.936062\pi\) | |||||||
\(678\) | −0.276485 | − | 0.254566i | −0.0106183 | − | 0.00977655i | ||||
\(679\) | −0.492817 | + | 1.67838i | −0.0189126 | + | 0.0644103i | ||||
\(680\) | −0.271778 | + | 0.220663i | −0.0104222 | + | 0.00846205i | ||||
\(681\) | 37.0624 | − | 22.0082i | 1.42023 | − | 0.843357i | ||||
\(682\) | 0.375356 | − | 2.00344i | 0.0143731 | − | 0.0767155i | ||||
\(683\) | −42.9654 | − | 8.28090i | −1.64402 | − | 0.316860i | −0.718494 | − | 0.695533i | \(-0.755168\pi\) |
−0.925530 | + | 0.378673i | \(0.876380\pi\) | |||||||
\(684\) | 7.99580 | − | 22.1869i | 0.305727 | − | 0.848336i | ||||
\(685\) | 1.55186 | − | 0.455666i | 0.0592934 | − | 0.0174101i | ||||
\(686\) | −16.7217 | + | 7.74168i | −0.638436 | + | 0.295579i | ||||
\(687\) | −12.6124 | + | 1.97151i | −0.481192 | + | 0.0752177i | ||||
\(688\) | 8.15299 | − | 13.2849i | 0.310830 | − | 0.506481i | ||||
\(689\) | −19.4834 | + | 20.4336i | −0.742258 | + | 0.778457i | ||||
\(690\) | 0.761107 | + | 0.470572i | 0.0289749 | + | 0.0179144i | ||||
\(691\) | 0.533132 | − | 0.379642i | 0.0202813 | − | 0.0144423i | −0.569871 | − | 0.821734i | \(-0.693007\pi\) |
0.590153 | + | 0.807292i | \(0.299068\pi\) | |||||||
\(692\) | −6.55547 | − | 8.16017i | −0.249202 | − | 0.310203i | ||||
\(693\) | 6.82429 | − | 0.493034i | 0.259233 | − | 0.0187288i | ||||
\(694\) | −0.0861819 | − | 1.63101i | −0.00327142 | − | 0.0619122i | ||||
\(695\) | −0.463088 | + | 0.534432i | −0.0175659 | + | 0.0202721i | ||||
\(696\) | −36.7543 | + | 30.5970i | −1.39317 | + | 1.15978i | ||||
\(697\) | −1.65774 | + | 3.62995i | −0.0627916 | + | 0.137494i | ||||
\(698\) | 16.0629 | + | 18.3443i | 0.607991 | + | 0.694343i | ||||
\(699\) | −21.7158 | + | 2.34261i | −0.821366 | + | 0.0886058i | ||||
\(700\) | −8.68094 | − | 4.89249i | −0.328109 | − | 0.184919i | ||||
\(701\) | 8.29812 | + | 43.0547i | 0.313416 | + | 1.62616i | 0.707243 | + | 0.706971i | \(0.249939\pi\) |
−0.393827 | + | 0.919185i | \(0.628849\pi\) | |||||||
\(702\) | −31.4058 | − | 20.4339i | −1.18533 | − | 0.771226i | ||||
\(703\) | −36.1927 | − | 8.78025i | −1.36503 | − | 0.331154i | ||||
\(704\) | 3.73722 | − | 17.8084i | 0.140852 | − | 0.671179i | ||||
\(705\) | −0.524997 | − | 2.05382i | −0.0197725 | − | 0.0773515i | ||||
\(706\) | 3.34536 | + | 1.13843i | 0.125904 | + | 0.0428454i | ||||
\(707\) | −6.92453 | − | 11.9936i | −0.260424 | − | 0.451067i | ||||
\(708\) | −5.52257 | + | 4.12417i | −0.207551 | + | 0.154996i | ||||
\(709\) | −9.21990 | + | 26.6392i | −0.346261 | + | 1.00045i | 0.628617 | + | 0.777715i | \(0.283621\pi\) |
−0.974878 | + | 0.222740i | \(0.928500\pi\) | |||||||
\(710\) | −3.06180 | + | 2.20434i | −0.114907 | + | 0.0827273i | ||||
\(711\) | −11.0900 | + | 41.5082i | −0.415907 | + | 1.55668i | ||||
\(712\) | −17.3551 | − | 14.5714i | −0.650411 | − | 0.546087i | ||||
\(713\) | −0.709747 | − | 1.10439i | −0.0265802 | − | 0.0413596i | ||||
\(714\) | 0.816609 | + | 1.51834i | 0.0305608 | + | 0.0568226i | ||||
\(715\) | −2.02416 | + | 0.291031i | −0.0756994 | + | 0.0108839i | ||||
\(716\) | −15.7020 | + | 35.3492i | −0.586811 | + | 1.32106i | ||||
\(717\) | −11.3888 | − | 0.402638i | −0.425324 | − | 0.0150368i | ||||
\(718\) | −20.7198 | + | 6.20089i | −0.773257 | + | 0.231415i | ||||
\(719\) | −1.80042 | + | 37.7956i | −0.0671445 | + | 1.40954i | 0.674268 | + | 0.738487i | \(0.264459\pi\) |
−0.741412 | + | 0.671050i | \(0.765844\pi\) | |||||||
\(720\) | −2.03164 | + | 0.591436i | −0.0757147 | + | 0.0220415i | ||||
\(721\) | −8.60988 | + | 12.0909i | −0.320649 | + | 0.450288i | ||||
\(722\) | 1.15837 | − | 4.88542i | 0.0431102 | − | 0.181817i | ||||
\(723\) | 28.4727 | − | 1.70644i | 1.05891 | − | 0.0634630i | ||||
\(724\) | −11.8392 | − | 33.0915i | −0.439999 | − | 1.22984i | ||||
\(725\) | −45.8380 | + | 15.8647i | −1.70238 | + | 0.589200i | ||||
\(726\) | −0.249053 | − | 14.2697i | −0.00924324 | − | 0.529598i | ||||
\(727\) | −24.7514 | − | 31.4739i | −0.917978 | − | 1.16730i | −0.985515 | − | 0.169587i | \(-0.945757\pi\) |
0.0675374 | − | 0.997717i | \(-0.478486\pi\) | |||||||
\(728\) | 3.85746 | − | 13.9365i | 0.142967 | − | 0.516522i | ||||
\(729\) | 26.3953 | + | 5.68212i | 0.977605 | + | 0.210449i | ||||
\(730\) | −3.89583 | + | 0.966557i | −0.144191 | + | 0.0357739i | ||||
\(731\) | −2.72287 | + | 0.260003i | −0.100709 | + | 0.00961655i | ||||
\(732\) | −0.442079 | − | 19.5212i | −0.0163397 | − | 0.721526i | ||||
\(733\) | 10.7130 | − | 5.52292i | 0.395692 | − | 0.203994i | −0.248884 | − | 0.968533i | \(-0.580064\pi\) |
0.644577 | + | 0.764540i | \(0.277034\pi\) | |||||||
\(734\) | −26.4542 | + | 34.0010i | −0.976441 | + | 1.25500i | ||||
\(735\) | −1.18189 | + | 1.39825i | −0.0435945 | + | 0.0515751i | ||||
\(736\) | −6.12118 | − | 9.99395i | −0.225630 | − | 0.368382i | ||||
\(737\) | −1.07826 | + | 18.5867i | −0.0397182 | + | 0.684648i | ||||
\(738\) | −17.7515 | + | 16.3299i | −0.653442 | + | 0.601112i | ||||
\(739\) | −8.13050 | + | 1.97244i | −0.299085 | + | 0.0725573i | −0.382494 | − | 0.923958i | \(-0.624935\pi\) |
0.0834084 | + | 0.996515i | \(0.473419\pi\) | |||||||
\(740\) | 1.27404 | + | 3.08906i | 0.0468345 | + | 0.113556i | ||||
\(741\) | 31.0464 | + | 15.5267i | 1.14052 | + | 0.570389i | ||||
\(742\) | 7.82035 | + | 0.705810i | 0.287094 | + | 0.0259111i | ||||
\(743\) | −16.0844 | + | 1.53588i | −0.590081 | + | 0.0563459i | −0.385825 | − | 0.922572i | \(-0.626083\pi\) |
−0.204255 | + | 0.978918i | \(0.565477\pi\) | |||||||
\(744\) | 3.06337 | + | 0.502437i | 0.112309 | + | 0.0184202i | ||||
\(745\) | 0.727921 | + | 0.840065i | 0.0266690 | + | 0.0307776i | ||||
\(746\) | −0.555032 | + | 0.534750i | −0.0203212 | + | 0.0195786i | ||||
\(747\) | −7.07122 | − | 18.9170i | −0.258722 | − | 0.692135i | ||||
\(748\) | −2.89064 | + | 1.35655i | −0.105692 | + | 0.0496004i | ||||
\(749\) | −7.71722 | + | 2.67096i | −0.281981 | + | 0.0975946i | ||||
\(750\) | −4.29278 | − | 0.334430i | −0.156750 | − | 0.0122117i | ||||
\(751\) | −15.1552 | + | 23.5820i | −0.553023 | + | 0.860520i | −0.999411 | − | 0.0343194i | \(-0.989074\pi\) |
0.446388 | + | 0.894839i | \(0.352710\pi\) | |||||||
\(752\) | −5.98398 | + | 27.1112i | −0.218213 | + | 0.988643i | ||||
\(753\) | 0.471361 | + | 38.4424i | 0.0171773 | + | 1.40092i | ||||
\(754\) | −38.3628 | − | 59.0178i | −1.39709 | − | 2.14930i | ||||
\(755\) | 0.00785975 | − | 0.164996i | 0.000286046 | − | 0.00600484i | ||||
\(756\) | 0.986001 | + | 10.3737i | 0.0358605 | + | 0.377286i | ||||
\(757\) | 38.7082 | + | 30.4404i | 1.40687 | + | 1.10638i | 0.979304 | + | 0.202393i | \(0.0648720\pi\) |
0.427568 | + | 0.903983i | \(0.359370\pi\) | |||||||
\(758\) | 2.09456 | + | 20.7940i | 0.0760777 | + | 0.755271i | ||||
\(759\) | 5.70434 | + | 5.83753i | 0.207054 | + | 0.211889i | ||||
\(760\) | 1.80836 | − | 0.756840i | 0.0655962 | − | 0.0274535i | ||||
\(761\) | −16.1117 | − | 25.0704i | −0.584050 | − | 0.908800i | 0.415950 | − | 0.909388i | \(-0.363449\pi\) |
−1.00000 | 0.000587689i | \(0.999813\pi\) | ||||||||
\(762\) | 21.5272 | − | 31.3754i | 0.779847 | − | 1.13661i | ||||
\(763\) | 4.75058 | − | 0.226298i | 0.171983 | − | 0.00819254i | ||||
\(764\) | −26.7621 | + | 2.83612i | −0.968219 | + | 0.102607i | ||||
\(765\) | 0.297413 | + | 0.222306i | 0.0107530 | + | 0.00803749i | ||||
\(766\) | −10.3687 | − | 17.7457i | −0.374636 | − | 0.641179i | ||||
\(767\) | −5.07255 | − | 8.78591i | −0.183159 | − | 0.317241i | ||||
\(768\) | 27.2439 | + | 5.07624i | 0.983081 | + | 0.183173i | ||||
\(769\) | 9.77170 | + | 3.91200i | 0.352377 | + | 0.141070i | 0.541096 | − | 0.840961i | \(-0.318009\pi\) |
−0.188720 | + | 0.982031i | \(0.560434\pi\) | |||||||
\(770\) | 0.413646 | + | 0.390331i | 0.0149068 | + | 0.0140666i | ||||
\(771\) | −33.0987 | + | 13.7239i | −1.19202 | + | 0.494256i | ||||
\(772\) | −1.07460 | − | 6.96028i | −0.0386757 | − | 0.250506i | ||||
\(773\) | 3.34239 | + | 17.3420i | 0.120217 | + | 0.623747i | 0.991193 | + | 0.132422i | \(0.0422753\pi\) |
−0.870976 | + | 0.491325i | \(0.836513\pi\) | |||||||
\(774\) | −15.7771 | − | 4.94078i | −0.567097 | − | 0.177593i | ||||
\(775\) | 2.72678 | + | 1.57431i | 0.0979488 | + | 0.0565508i | ||||
\(776\) | 1.54103 | − | 4.68743i | 0.0553197 | − | 0.168269i | ||||
\(777\) | 16.1188 | − | 3.31211i | 0.578258 | − | 0.118821i | ||||
\(778\) | −10.3976 | + | 20.4282i | −0.372773 | + | 0.732388i | ||||
\(779\) | 14.6337 | − | 16.8881i | 0.524305 | − | 0.605080i | ||||
\(780\) | −0.512918 | − | 3.07195i | −0.0183654 | − | 0.109994i | ||||
\(781\) | −31.9469 | + | 12.7896i | −1.14315 | + | 0.457648i | ||||
\(782\) | −0.754428 | + | 1.91319i | −0.0269783 | + | 0.0684156i | ||||
\(783\) | 40.9980 | + | 29.8681i | 1.46515 | + | 1.06740i | ||||
\(784\) | 22.0709 | − | 9.37208i | 0.788246 | − | 0.334717i | ||||
\(785\) | 1.04334 | − | 1.09422i | 0.0372384 | − | 0.0390545i | ||||
\(786\) | −14.1853 | + | 0.924080i | −0.505974 | + | 0.0329609i | ||||
\(787\) | 10.8642 | − | 21.0736i | 0.387267 | − | 0.751194i | −0.611944 | − | 0.790901i | \(-0.709612\pi\) |
0.999211 | + | 0.0397072i | \(0.0126425\pi\) | |||||||
\(788\) | −4.08932 | + | 48.0970i | −0.145676 | + | 1.71338i | ||||
\(789\) | −0.358236 | + | 0.467212i | −0.0127536 | + | 0.0166332i | ||||
\(790\) | −3.16579 | + | 1.65293i | −0.112634 | + | 0.0588087i | ||||
\(791\) | −0.151067 | − | 0.0291157i | −0.00537131 | − | 0.00103524i | ||||
\(792\) | −19.2846 | + | 0.773606i | −0.685248 | + | 0.0274889i | ||||
\(793\) | 28.6103 | + | 2.73195i | 1.01598 | + | 0.0970146i | ||||
\(794\) | −2.01738 | − | 13.5322i | −0.0715942 | − | 0.480240i | ||||
\(795\) | 1.59126 | − | 0.572683i | 0.0564363 | − | 0.0203110i | ||||
\(796\) | −20.9724 | − | 7.01570i | −0.743349 | − | 0.248665i | ||||
\(797\) | 14.0922 | + | 14.7794i | 0.499170 | + | 0.523514i | 0.924325 | − | 0.381606i | \(-0.124629\pi\) |
−0.425155 | + | 0.905121i | \(0.639780\pi\) | |||||||
\(798\) | −1.99218 | − | 9.44625i | −0.0705226 | − | 0.334394i | ||||
\(799\) | 4.43175 | − | 2.02391i | 0.156784 | − | 0.0716009i | ||||
\(800\) | 24.0327 | + | 14.5778i | 0.849683 | + | 0.515403i | ||||
\(801\) | −10.4867 | + | 21.6275i | −0.370529 | + | 0.764169i | ||||
\(802\) | −7.35966 | + | 25.5547i | −0.259879 | + | 0.902367i | ||||
\(803\) | −36.6117 | −1.29200 | ||||||||
\(804\) | −28.3372 | − | 1.00087i | −0.999377 | − | 0.0352981i | ||||
\(805\) | 0.366301 | 0.0129104 | ||||||||
\(806\) | −1.26452 | + | 4.39073i | −0.0445407 | + | 0.154657i | ||||
\(807\) | 12.8773 | − | 6.83985i | 0.453303 | − | 0.240774i | ||||
\(808\) | 18.4393 | + | 34.4397i | 0.648692 | + | 1.21159i | ||||
\(809\) | 18.4195 | − | 8.41192i | 0.647597 | − | 0.295748i | −0.0644065 | − | 0.997924i | \(-0.520515\pi\) |
0.712003 | + | 0.702176i | \(0.247788\pi\) | |||||||
\(810\) | 1.13504 | + | 1.93616i | 0.0398811 | + | 0.0680297i | ||||
\(811\) | 5.90660 | + | 6.19466i | 0.207409 | + | 0.217524i | 0.819219 | − | 0.573480i | \(-0.194407\pi\) |
−0.611811 | + | 0.791004i | \(0.709559\pi\) | |||||||
\(812\) | −6.21046 | + | 18.5653i | −0.217945 | + | 0.651515i | ||||
\(813\) | −7.03334 | − | 19.5429i | −0.246670 | − | 0.685400i | ||||
\(814\) | 4.49401 | + | 30.1449i | 0.157515 | + | 1.05658i | ||||
\(815\) | 0.452167 | + | 0.0431767i | 0.0158387 | + | 0.00151241i | ||||
\(816\) | −2.16516 | − | 4.35451i | −0.0757956 | − | 0.152438i | ||||
\(817\) | 15.0400 | + | 2.89871i | 0.526181 | + | 0.101413i | ||||
\(818\) | 17.5430 | − | 9.15961i | 0.613376 | − | 0.320258i | ||||
\(819\) | −15.3336 | − | 0.353935i | −0.535800 | − | 0.0123675i | ||||
\(820\) | −1.99774 | − | 0.169853i | −0.0697641 | − | 0.00593152i | ||||
\(821\) | −15.8100 | + | 30.6671i | −0.551772 | + | 1.07029i | 0.433796 | + | 0.901011i | \(0.357174\pi\) |
−0.985568 | + | 0.169278i | \(0.945857\pi\) | |||||||
\(822\) | 1.46052 | + | 22.4201i | 0.0509414 | + | 0.781989i | ||||
\(823\) | 8.45774 | − | 8.87023i | 0.294818 | − | 0.309197i | −0.559620 | − | 0.828749i | \(-0.689053\pi\) |
0.854438 | + | 0.519553i | \(0.173901\pi\) | |||||||
\(824\) | 25.3664 | − | 33.3107i | 0.883681 | − | 1.16043i | ||||
\(825\) | −18.5761 | − | 6.17526i | −0.646736 | − | 0.214995i | ||||
\(826\) | −1.03503 | + | 2.62479i | −0.0360134 | + | 0.0913281i | ||||
\(827\) | 3.09175 | − | 1.23775i | 0.107511 | − | 0.0430408i | −0.317283 | − | 0.948331i | \(-0.602771\pi\) |
0.424794 | + | 0.905290i | \(0.360346\pi\) | |||||||
\(828\) | −8.69153 | + | 8.88671i | −0.302052 | + | 0.308835i | ||||
\(829\) | 19.8043 | − | 22.8554i | 0.687833 | − | 0.793802i | −0.299222 | − | 0.954184i | \(-0.596727\pi\) |
0.987055 | + | 0.160382i | \(0.0512725\pi\) | |||||||
\(830\) | 0.761473 | − | 1.49607i | 0.0264311 | − | 0.0519293i | ||||
\(831\) | 4.42096 | + | 21.5152i | 0.153361 | + | 0.746352i | ||||
\(832\) | −12.1344 | + | 38.9435i | −0.420684 | + | 1.35012i | ||||
\(833\) | −3.64402 | − | 2.10388i | −0.126258 | − | 0.0728951i | ||||
\(834\) | −5.83688 | − | 7.90123i | −0.202115 | − | 0.273597i | ||||
\(835\) | 0.487090 | + | 2.52726i | 0.0168565 | + | 0.0874596i | ||||
\(836\) | 17.6713 | − | 2.72828i | 0.611174 | − | 0.0943595i | ||||
\(837\) | −0.277509 | − | 3.28090i | −0.00959212 | − | 0.113404i | ||||
\(838\) | 35.2107 | + | 33.2261i | 1.21633 | + | 1.14778i | ||||
\(839\) | −4.44145 | − | 1.77809i | −0.153336 | − | 0.0613864i | 0.293725 | − | 0.955890i | \(-0.405105\pi\) |
−0.447061 | + | 0.894504i | \(0.647529\pi\) | |||||||
\(840\) | −0.580055 | + | 0.643276i | −0.0200138 | + | 0.0221951i | ||||
\(841\) | 33.1470 | + | 57.4122i | 1.14300 | + | 1.97973i | ||||
\(842\) | 28.0289 | + | 47.9707i | 0.965939 | + | 1.65318i | ||||
\(843\) | −30.8542 | + | 9.47203i | −1.06268 | + | 0.326234i | ||||
\(844\) | 0.0482837 | + | 0.455613i | 0.00166199 | + | 0.0156829i | ||||
\(845\) | 2.28927 | − | 0.109051i | 0.0787532 | − | 0.00375148i | ||||
\(846\) | 29.4349 | − | 0.874838i | 1.01199 | − | 0.0300775i | ||||
\(847\) | −3.15855 | − | 4.91480i | −0.108529 | − | 0.168874i | ||||
\(848\) | −21.9846 | − | 2.69633i | −0.754953 | − | 0.0925923i | ||||
\(849\) | 7.20346 | − | 7.03911i | 0.247222 | − | 0.241582i | ||||
\(850\) | −0.494345 | − | 4.90767i | −0.0169559 | − | 0.168332i | ||||
\(851\) | 15.4300 | + | 12.1343i | 0.528935 | + | 0.415959i | ||||
\(852\) | −20.5750 | − | 48.2013i | −0.704888 | − | 1.65135i | ||||
\(853\) | 0.294063 | − | 6.17315i | 0.0100685 | − | 0.211364i | −0.988227 | − | 0.152997i | \(-0.951107\pi\) |
0.998295 | − | 0.0583674i | \(-0.0185895\pi\) | |||||||
\(854\) | −4.35625 | − | 6.70172i | −0.149068 | − | 0.229328i | ||||
\(855\) | −1.24726 | − | 1.66364i | −0.0426554 | − | 0.0568953i | ||||
\(856\) | 21.9988 | − | 6.83327i | 0.751904 | − | 0.233556i | ||||
\(857\) | 23.3646 | − | 36.3561i | 0.798121 | − | 1.24190i | −0.168503 | − | 0.985701i | \(-0.553893\pi\) |
0.966624 | − | 0.256199i | \(-0.0824704\pi\) | |||||||
\(858\) | 2.20642 | − | 28.3218i | 0.0753259 | − | 0.966890i | ||||
\(859\) | −18.3222 | + | 6.34138i | −0.625146 | + | 0.216365i | −0.621231 | − | 0.783627i | \(-0.713367\pi\) |
−0.00391439 | + | 0.999992i | \(0.501246\pi\) | |||||||
\(860\) | −0.583831 | − | 1.24407i | −0.0199085 | − | 0.0424224i | ||||
\(861\) | −2.66537 | + | 9.50709i | −0.0908354 | + | 0.324001i | ||||
\(862\) | 15.3627 | − | 14.8013i | 0.523254 | − | 0.504133i | ||||
\(863\) | 20.2821 | + | 23.4068i | 0.690412 | + | 0.796778i | 0.987424 | − | 0.158096i | \(-0.0505355\pi\) |
−0.297012 | + | 0.954874i | \(0.595990\pi\) | |||||||
\(864\) | −1.84284 | − | 29.3361i | −0.0626948 | − | 0.998033i | ||||
\(865\) | −0.918670 | + | 0.0877224i | −0.0312357 | + | 0.00298265i | ||||
\(866\) | 36.7370 | + | 3.31563i | 1.24838 | + | 0.112670i | ||||
\(867\) | 12.7888 | − | 25.5718i | 0.434331 | − | 0.868465i | ||||
\(868\) | 1.17476 | − | 0.484513i | 0.0398740 | − | 0.0164455i | ||||
\(869\) | −31.6564 | + | 7.67975i | −1.07387 | + | 0.260518i | ||||
\(870\) | 0.473974 | + | 4.18963i | 0.0160692 | + | 0.142042i | ||||
\(871\) | 6.36669 | − | 41.2468i | 0.215727 | − | 1.39759i | ||||
\(872\) | −13.4140 | + | 0.208900i | −0.454255 | + | 0.00707424i | ||||
\(873\) | −5.22049 | − | 0.369590i | −0.176687 | − | 0.0125087i | ||||
\(874\) | 7.07179 | − | 9.08921i | 0.239207 | − | 0.307447i | ||||
\(875\) | −1.56665 | + | 0.807663i | −0.0529624 | + | 0.0273040i | ||||
\(876\) | −1.26240 | − | 55.7450i | −0.0426527 | − | 1.88345i | ||||
\(877\) | 20.9728 | − | 2.00266i | 0.708202 | − | 0.0676251i | 0.265262 | − | 0.964176i | \(-0.414541\pi\) |
0.442940 | + | 0.896551i | \(0.353935\pi\) | |||||||
\(878\) | −24.8983 | + | 6.17729i | −0.840278 | + | 0.208473i | ||||
\(879\) | 2.74944 | − | 11.9722i | 0.0927364 | − | 0.403811i | ||||
\(880\) | −1.13095 | − | 1.13784i | −0.0381244 | − | 0.0383567i | ||||
\(881\) | 8.52073 | + | 10.8350i | 0.287071 | + | 0.365040i | 0.908104 | − | 0.418744i | \(-0.137529\pi\) |
−0.621034 | + | 0.783784i | \(0.713287\pi\) | |||||||
\(882\) | −15.3615 | − | 20.2696i | −0.517247 | − | 0.682512i | ||||
\(883\) | −39.8611 | + | 13.7961i | −1.34143 | + | 0.464275i | −0.901120 | − | 0.433569i | \(-0.857254\pi\) |
−0.440314 | + | 0.897844i | \(0.645133\pi\) | |||||||
\(884\) | 6.73958 | − | 2.41122i | 0.226677 | − | 0.0810982i | ||||
\(885\) | 0.0363549 | + | 0.606599i | 0.00122206 | + | 0.0203906i | ||||
\(886\) | 5.03666 | − | 21.2420i | 0.169210 | − | 0.713640i | ||||
\(887\) | 21.9290 | − | 30.7949i | 0.736303 | − | 1.03399i | −0.261331 | − | 0.965249i | \(-0.584162\pi\) |
0.997634 | − | 0.0687438i | \(-0.0218991\pi\) | |||||||
\(888\) | −45.7437 | + | 7.88201i | −1.53506 | + | 0.264503i | ||||
\(889\) | 0.741138 | − | 15.5584i | 0.0248570 | − | 0.521812i | ||||
\(890\) | −1.91406 | + | 0.572826i | −0.0641593 | + | 0.0192012i | ||||
\(891\) | 5.79565 | + | 19.6333i | 0.194162 | + | 0.657740i | ||||
\(892\) | −20.1477 | − | 8.94953i | −0.674594 | − | 0.299652i | ||||
\(893\) | −27.0044 | + | 3.88265i | −0.903668 | + | 0.129928i | ||||
\(894\) | −13.5991 | + | 7.31400i | −0.454823 | + | 0.244617i | ||||
\(895\) | 1.84370 | + | 2.86886i | 0.0616282 | + | 0.0958953i | ||||
\(896\) | 10.5785 | − | 4.09735i | 0.353404 | − | 0.136883i | ||||
\(897\) | −11.4855 | − | 14.2421i | −0.383489 | − | 0.475529i | ||||
\(898\) | 16.1140 | − | 11.6013i | 0.537732 | − | 0.387139i | ||||
\(899\) | 2.02316 | − | 5.84552i | 0.0674760 | − | 0.194959i | ||||
\(900\) | 8.76193 | − | 28.4968i | 0.292064 | − | 0.949895i | ||||
\(901\) | 1.94340 | + | 3.36606i | 0.0647439 | + | 0.112140i | ||||
\(902\) | −17.3124 | − | 5.89144i | −0.576441 | − | 0.196164i | ||||
\(903\) | −6.55686 | + | 1.67606i | −0.218199 | + | 0.0557758i | ||||
\(904\) | 0.423280 | + | 0.0957330i | 0.0140781 | + | 0.00318403i | ||||
\(905\) | −3.01129 | − | 0.730531i | −0.100099 | − | 0.0242837i | ||||
\(906\) | 2.21263 | + | 0.607953i | 0.0735097 | + | 0.0201979i | ||||
\(907\) | −8.47915 | − | 43.9940i | −0.281546 | − | 1.46080i | −0.797051 | − | 0.603912i | \(-0.793608\pi\) |
0.515506 | − | 0.856886i | \(-0.327604\pi\) | |||||||
\(908\) | −24.4375 | + | 43.3603i | −0.810986 | + | 1.43896i | ||||
\(909\) | 30.6398 | − | 27.8939i | 1.01626 | − | 0.925181i | ||||
\(910\) | −0.839886 | − | 0.959174i | −0.0278419 | − | 0.0317963i | ||||
\(911\) | −11.1971 | + | 24.5182i | −0.370976 | + | 0.812325i | 0.628430 | + | 0.777866i | \(0.283698\pi\) |
−0.999406 | + | 0.0344584i | \(0.989029\pi\) | |||||||
\(912\) | 4.76340 | + | 26.8122i | 0.157732 | + | 0.887842i | ||||
\(913\) | 10.0270 | − | 11.5718i | 0.331847 | − | 0.382972i | ||||
\(914\) | 3.10002 | + | 58.6685i | 0.102540 | + | 1.94058i | ||||
\(915\) | −1.45956 | − | 0.912910i | −0.0482515 | − | 0.0301799i | ||||
\(916\) | 11.4915 | − | 9.23169i | 0.379690 | − | 0.305024i | ||||
\(917\) | −4.74011 | + | 3.37542i | −0.156532 | + | 0.111466i | ||||
\(918\) | −3.91717 | + | 3.35584i | −0.129286 | + | 0.110759i | ||||
\(919\) | 10.6694 | − | 11.1898i | 0.351952 | − | 0.369117i | −0.523831 | − | 0.851822i | \(-0.675497\pi\) |
0.875783 | + | 0.482706i | \(0.160346\pi\) | |||||||
\(920\) | −1.03273 | − | 0.0330875i | −0.0340482 | − | 0.00109086i | ||||
\(921\) | −4.73938 | − | 30.3194i | −0.156168 | − | 0.999058i | ||||
\(922\) | −2.22238 | + | 1.02890i | −0.0731901 | + | 0.0338850i | ||||
\(923\) | 74.0154 | − | 21.7329i | 2.43625 | − | 0.715347i | ||||
\(924\) | −6.54796 | + | 4.42074i | −0.215412 | + | 0.145432i | ||||
\(925\) | −46.2295 | − | 8.91002i | −1.52002 | − | 0.292959i | ||||
\(926\) | 7.58015 | − | 40.4586i | 0.249099 | − | 1.32955i | ||||
\(927\) | −40.8364 | − | 17.4523i | −1.34124 | − | 0.573208i | ||||
\(928\) | 19.1864 | − | 51.7811i | 0.629826 | − | 1.69980i | ||||
\(929\) | 8.73187 | − | 29.7380i | 0.286483 | − | 0.975673i | −0.682980 | − | 0.730437i | \(-0.739316\pi\) |
0.969463 | − | 0.245236i | \(-0.0788654\pi\) | |||||||
\(930\) | 0.185384 | − | 0.201347i | 0.00607899 | − | 0.00660242i | ||||
\(931\) | 16.2599 | + | 17.0529i | 0.532897 | + | 0.558886i | ||||
\(932\) | 20.3912 | − | 14.8419i | 0.667936 | − | 0.486163i | ||||
\(933\) | −7.97605 | − | 4.47549i | −0.261124 | − | 0.146521i | ||||
\(934\) | 0.304542 | − | 7.17674i | 0.00996493 | − | 0.234830i | ||||
\(935\) | −0.0400650 | + | 0.278658i | −0.00131026 | + | 0.00911309i | ||||
\(936\) | 43.1989 | + | 2.38293i | 1.41200 | + | 0.0778885i | ||||
\(937\) | 31.6811 | 1.03497 | 0.517487 | − | 0.855691i | \(-0.326867\pi\) | ||||
0.517487 | + | 0.855691i | \(0.326867\pi\) | |||||||
\(938\) | −10.0819 | + | 5.75166i | −0.329185 | + | 0.187798i | ||||
\(939\) | 9.85585 | − | 7.20205i | 0.321634 | − | 0.235030i | ||||
\(940\) | 1.70748 | + | 1.75393i | 0.0556918 | + | 0.0572069i | ||||
\(941\) | 5.11334 | + | 0.735188i | 0.166690 | + | 0.0239664i | 0.225155 | − | 0.974323i | \(-0.427711\pi\) |
−0.0584643 | + | 0.998289i | \(0.518620\pi\) | |||||||
\(942\) | 11.6615 | + | 17.4677i | 0.379951 | + | 0.569128i | ||||
\(943\) | −10.7138 | + | 4.89285i | −0.348891 | + | 0.159333i | ||||
\(944\) | 3.15521 | − | 7.30671i | 0.102693 | − | 0.237813i | ||||
\(945\) | 0.811992 | + | 0.429792i | 0.0264141 | + | 0.0139811i | ||||
\(946\) | −2.43607 | − | 12.2957i | −0.0792034 | − | 0.399769i | ||||
\(947\) | −1.36041 | − | 0.399453i | −0.0442075 | − | 0.0129805i | 0.259554 | − | 0.965729i | \(-0.416424\pi\) |
−0.303762 | + | 0.952748i | \(0.598243\pi\) | |||||||
\(948\) | −12.7847 | − | 47.9352i | −0.415228 | − | 1.55686i | ||||
\(949\) | 81.6999 | + | 7.80139i | 2.65209 | + | 0.253244i | ||||
\(950\) | −5.08642 | + | 27.1484i | −0.165025 | + | 0.880811i | ||||
\(951\) | 2.24971 | + | 4.77052i | 0.0729520 | + | 0.154695i | ||||
\(952\) | −1.69125 | − | 1.05006i | −0.0548139 | − | 0.0340325i | ||||
\(953\) | 11.9448 | + | 40.6801i | 0.386929 | + | 1.31776i | 0.890964 | + | 0.454075i | \(0.150030\pi\) |
−0.504035 | + | 0.863683i | \(0.668152\pi\) | |||||||
\(954\) | 2.92692 | + | 23.3098i | 0.0947625 | + | 0.754683i | ||||
\(955\) | −1.08724 | + | 2.10895i | −0.0351822 | + | 0.0682440i | ||||
\(956\) | 11.6329 | − | 6.15086i | 0.376234 | − | 0.198933i | ||||
\(957\) | −5.00602 | + | 38.1308i | −0.161822 | + | 1.23259i | ||||
\(958\) | −14.0368 | + | 5.70418i | −0.453507 | + | 0.184294i | ||||
\(959\) | 5.33488 | + | 7.49179i | 0.172272 | + | 0.241922i | ||||
\(960\) | 1.69349 | − | 1.76122i | 0.0546570 | − | 0.0568432i | ||||
\(961\) | 28.4066 | − | 11.3723i | 0.916343 | − | 0.366848i | ||||
\(962\) | −3.60507 | − | 68.2267i | −0.116232 | − | 2.19972i | ||||
\(963\) | −12.7316 | − | 20.8537i | −0.410271 | − | 0.672001i | ||||
\(964\) | −27.5215 | + | 18.0935i | −0.886409 | + | 0.582751i | ||||
\(965\) | −0.564816 | − | 0.257943i | −0.0181821 | − | 0.00830347i | ||||
\(966\) | −1.11317 | + | 4.96519i | −0.0358156 | + | 0.159752i | ||||
\(967\) | 30.7810 | + | 17.7714i | 0.989850 | + | 0.571490i | 0.905229 | − | 0.424923i | \(-0.139699\pi\) |
0.0846204 | + | 0.996413i | \(0.473032\pi\) | |||||||
\(968\) | 8.46111 | + | 14.1418i | 0.271950 | + | 0.454536i | ||||
\(969\) | 3.25505 | − | 3.49870i | 0.104567 | − | 0.112394i | ||||
\(970\) | −0.270689 | − | 0.340557i | −0.00869131 | − | 0.0109346i | ||||
\(971\) | 6.32751 | − | 26.0824i | 0.203060 | − | 0.837023i | −0.775548 | − | 0.631288i | \(-0.782526\pi\) |
0.978608 | − | 0.205735i | \(-0.0659584\pi\) | |||||||
\(972\) | −29.6938 | + | 9.50144i | −0.952430 | + | 0.304759i | ||||
\(973\) | −3.73317 | − | 1.49454i | −0.119680 | − | 0.0479127i | ||||
\(974\) | −25.2310 | − | 8.58613i | −0.808453 | − | 0.275117i | ||||
\(975\) | 40.1370 | + | 17.7385i | 1.28541 | + | 0.568087i | ||||
\(976\) | 11.6764 | + | 19.2880i | 0.373754 | + | 0.617393i | ||||
\(977\) | −7.72982 | − | 2.67532i | −0.247299 | − | 0.0855910i | 0.200607 | − | 0.979672i | \(-0.435709\pi\) |
−0.447906 | + | 0.894081i | \(0.647830\pi\) | |||||||
\(978\) | −1.95937 | + | 5.99788i | −0.0626537 | + | 0.191791i | ||||
\(979\) | −18.2028 | + | 0.867106i | −0.581764 | + | 0.0277128i | ||||
\(980\) | 0.378518 | − | 2.07990i | 0.0120913 | − | 0.0664400i | ||||
\(981\) | 3.69276 | + | 13.7419i | 0.117901 | + | 0.438745i | ||||
\(982\) | −7.70598 | + | 55.6452i | −0.245908 | + | 1.77571i | ||||
\(983\) | −6.28177 | − | 43.6907i | −0.200357 | − | 1.39352i | −0.803225 | − | 0.595676i | \(-0.796884\pi\) |
0.602868 | − | 0.797841i | \(-0.294025\pi\) | |||||||
\(984\) | 8.37336 | − | 26.5631i | 0.266933 | − | 0.846799i | ||||
\(985\) | 3.34528 | + | 2.63076i | 0.106590 | + | 0.0838230i | ||||
\(986\) | −9.28352 | + | 2.77831i | −0.295648 | + | 0.0884794i | ||||
\(987\) | 10.0603 | − | 6.64103i | 0.320222 | − | 0.211386i | ||||
\(988\) | −40.0152 | + | 2.32274i | −1.27305 | + | 0.0738961i | ||||
\(989\) | −6.57619 | − | 4.68288i | −0.209111 | − | 0.148907i | ||||
\(990\) | −0.877025 | + | 1.45818i | −0.0278737 | + | 0.0463440i | ||||
\(991\) | −5.79237 | + | 9.01311i | −0.184001 | + | 0.286311i | −0.920984 | − | 0.389600i | \(-0.872613\pi\) |
0.736983 | + | 0.675911i | \(0.236250\pi\) | |||||||
\(992\) | −3.35583 | + | 1.25990i | −0.106548 | + | 0.0400018i | ||||
\(993\) | 23.9059 | − | 34.4576i | 0.758631 | − | 1.09348i | ||||
\(994\) | −17.5401 | − | 12.3535i | −0.556337 | − | 0.391830i | ||||
\(995\) | −1.53262 | + | 1.20526i | −0.0485873 | + | 0.0382094i | ||||
\(996\) | 17.9650 | + | 14.8682i | 0.569243 | + | 0.471116i | ||||
\(997\) | 0.620647 | + | 0.716265i | 0.0196561 | + | 0.0226843i | 0.765493 | − | 0.643445i | \(-0.222495\pi\) |
−0.745836 | + | 0.666129i | \(0.767950\pi\) | |||||||
\(998\) | −14.3926 | + | 3.57082i | −0.455591 | + | 0.113032i | ||||
\(999\) | 19.9667 | + | 45.0030i | 0.631718 | + | 1.42383i |
(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 | 804.2.bd.a.23.11 | ✓ | 2640 | |
3.2 | odd | 2 | inner | 804.2.bd.a.23.122 | yes | 2640 | |
4.3 | odd | 2 | inner | 804.2.bd.a.23.31 | yes | 2640 | |
12.11 | even | 2 | inner | 804.2.bd.a.23.102 | yes | 2640 | |
67.35 | even | 33 | inner | 804.2.bd.a.35.102 | yes | 2640 | |
201.35 | odd | 66 | inner | 804.2.bd.a.35.31 | yes | 2640 | |
268.35 | odd | 66 | inner | 804.2.bd.a.35.122 | yes | 2640 | |
804.35 | even | 66 | inner | 804.2.bd.a.35.11 | yes | 2640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.bd.a.23.11 | ✓ | 2640 | 1.1 | even | 1 | trivial | |
804.2.bd.a.23.31 | yes | 2640 | 4.3 | odd | 2 | inner | |
804.2.bd.a.23.102 | yes | 2640 | 12.11 | even | 2 | inner | |
804.2.bd.a.23.122 | yes | 2640 | 3.2 | odd | 2 | inner | |
804.2.bd.a.35.11 | yes | 2640 | 804.35 | even | 66 | inner | |
804.2.bd.a.35.31 | yes | 2640 | 201.35 | odd | 66 | inner | |
804.2.bd.a.35.102 | yes | 2640 | 67.35 | even | 33 | inner | |
804.2.bd.a.35.122 | yes | 2640 | 268.35 | odd | 66 | inner |