Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [927,2,Mod(4,927)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(927, base_ring=CyclotomicField(102))
chi = DirichletCharacter(H, H._module([34, 88]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("927.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 927 = 3^{2} \cdot 103 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 927.y (of order \(51\), degree \(32\), 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: | \(7.40213226737\) |
Analytic rank: | \(0\) |
Dimension: | \(3264\) |
Relative dimension: | \(102\) over \(\Q(\zeta_{51})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{51}]$ |
Embedding invariants
Embedding label | 781.55 | ||
Character | \(\chi\) | \(=\) | 927.781 |
Dual form | 927.2.y.a.400.55 |
$q$-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 \(\left(\mathbb{Z}/927\mathbb{Z}\right)^\times\).
\(n\) | \(722\) | \(829\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{13}{51}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.233279 | − | 0.0903728i | 0.164953 | − | 0.0639032i | −0.277349 | − | 0.960769i | \(-0.589456\pi\) |
0.442302 | + | 0.896866i | \(0.354162\pi\) | |||||||
\(3\) | 1.27778 | + | 1.16931i | 0.737724 | + | 0.675103i | ||||
\(4\) | −1.43177 | + | 1.30523i | −0.715883 | + | 0.652614i | ||||
\(5\) | −1.04782 | + | 3.68271i | −0.468600 | + | 1.64696i | 0.262683 | + | 0.964882i | \(0.415393\pi\) |
−0.731282 | + | 0.682075i | \(0.761078\pi\) | |||||||
\(6\) | 0.403752 | + | 0.157300i | 0.164831 | + | 0.0642174i | ||||
\(7\) | 0.466593 | − | 0.704159i | 0.176355 | − | 0.266147i | −0.734734 | − | 0.678355i | \(-0.762693\pi\) |
0.911090 | + | 0.412208i | \(0.135242\pi\) | |||||||
\(8\) | −0.439067 | + | 0.881766i | −0.155234 | + | 0.311751i | ||||
\(9\) | 0.265418 | + | 2.98824i | 0.0884727 | + | 0.996079i | ||||
\(10\) | 0.0883820 | + | 0.953793i | 0.0279488 | + | 0.301616i | ||||
\(11\) | 4.27924 | + | 3.44349i | 1.29024 | + | 1.03825i | 0.996605 | + | 0.0823327i | \(0.0262370\pi\) |
0.293633 | + | 0.955918i | \(0.405136\pi\) | |||||||
\(12\) | −3.35569 | − | 0.00639477i | −0.968705 | − | 0.00184601i | ||||
\(13\) | −1.65825 | + | 2.50254i | −0.459915 | + | 0.694081i | −0.987886 | − | 0.155181i | \(-0.950404\pi\) |
0.527971 | + | 0.849262i | \(0.322953\pi\) | |||||||
\(14\) | 0.0452095 | − | 0.206433i | 0.0120827 | − | 0.0551715i | ||||
\(15\) | −5.64512 | + | 3.48044i | −1.45756 | + | 0.898647i | ||||
\(16\) | 0.334786 | − | 3.61292i | 0.0836966 | − | 0.903230i | ||||
\(17\) | 2.78759 | − | 1.49690i | 0.676090 | − | 0.363052i | −0.0988371 | − | 0.995104i | \(-0.531512\pi\) |
0.774927 | + | 0.632051i | \(0.217787\pi\) | |||||||
\(18\) | 0.331972 | + | 0.673106i | 0.0782465 | + | 0.158653i | ||||
\(19\) | −1.38865 | − | 3.94069i | −0.318577 | − | 0.904056i | −0.987063 | − | 0.160331i | \(-0.948744\pi\) |
0.668486 | − | 0.743725i | \(-0.266943\pi\) | |||||||
\(20\) | −3.30654 | − | 6.64042i | −0.739364 | − | 1.48484i | ||||
\(21\) | 1.41958 | − | 0.354164i | 0.309778 | − | 0.0772850i | ||||
\(22\) | 1.30945 | + | 0.416567i | 0.279177 | + | 0.0888124i | ||||
\(23\) | −0.573391 | − | 3.69385i | −0.119560 | − | 0.770220i | −0.969814 | − | 0.243847i | \(-0.921591\pi\) |
0.850254 | − | 0.526373i | \(-0.176449\pi\) | |||||||
\(24\) | −1.59209 | + | 0.613292i | −0.324984 | + | 0.125188i | ||||
\(25\) | −8.21333 | − | 5.08548i | −1.64267 | − | 1.01710i | ||||
\(26\) | −0.160672 | + | 0.733651i | −0.0315104 | + | 0.143881i | ||||
\(27\) | −3.15504 | + | 4.12865i | −0.607187 | + | 0.794559i | ||||
\(28\) | 0.251036 | + | 1.61720i | 0.0474413 | + | 0.305622i | ||||
\(29\) | 1.52539 | − | 5.36118i | 0.283258 | − | 0.995547i | −0.681372 | − | 0.731937i | \(-0.738616\pi\) |
0.964629 | − | 0.263610i | \(-0.0849130\pi\) | |||||||
\(30\) | −1.00235 | + | 1.32208i | −0.183003 | + | 0.241378i | ||||
\(31\) | 1.18482 | − | 0.545105i | 0.212800 | − | 0.0979037i | −0.308684 | − | 0.951165i | \(-0.599888\pi\) |
0.521484 | + | 0.853261i | \(0.325379\pi\) | |||||||
\(32\) | −0.787545 | − | 2.76794i | −0.139220 | − | 0.489306i | ||||
\(33\) | 1.44139 | + | 9.40377i | 0.250913 | + | 1.63699i | ||||
\(34\) | 0.515007 | − | 0.601118i | 0.0883229 | − | 0.103091i | ||||
\(35\) | 2.10431 | + | 2.45616i | 0.355693 | + | 0.415166i | ||||
\(36\) | −4.28034 | − | 3.93202i | −0.713390 | − | 0.655337i | ||||
\(37\) | −1.89659 | + | 2.51149i | −0.311798 | + | 0.412887i | −0.926751 | − | 0.375677i | \(-0.877410\pi\) |
0.614953 | + | 0.788564i | \(0.289175\pi\) | |||||||
\(38\) | −0.680073 | − | 0.793784i | −0.110322 | − | 0.128769i | ||||
\(39\) | −5.04512 | + | 1.25868i | −0.807866 | + | 0.201550i | ||||
\(40\) | −2.78722 | − | 2.54089i | −0.440699 | − | 0.401750i | ||||
\(41\) | 6.79808 | + | 1.70979i | 1.06168 | + | 0.267024i | 0.734970 | − | 0.678100i | \(-0.237196\pi\) |
0.326712 | + | 0.945124i | \(0.394059\pi\) | |||||||
\(42\) | 0.299152 | − | 0.210911i | 0.0461602 | − | 0.0325442i | ||||
\(43\) | 4.66299 | + | 6.17479i | 0.711099 | + | 0.941647i | 0.999876 | − | 0.0157495i | \(-0.00501344\pi\) |
−0.288777 | + | 0.957396i | \(0.593249\pi\) | |||||||
\(44\) | −10.6214 | + | 0.655105i | −1.60124 | + | 0.0987609i | ||||
\(45\) | −11.2829 | − | 2.15368i | −1.68196 | − | 0.321051i | ||||
\(46\) | −0.467583 | − | 0.809878i | −0.0689414 | − | 0.119410i | ||||
\(47\) | 2.19056 | + | 3.79417i | 0.319527 | + | 0.553436i | 0.980389 | − | 0.197070i | \(-0.0631428\pi\) |
−0.660863 | + | 0.750507i | \(0.729809\pi\) | |||||||
\(48\) | 4.65241 | − | 4.22503i | 0.671518 | − | 0.609831i | ||||
\(49\) | 2.45037 | + | 5.78923i | 0.350053 | + | 0.827033i | ||||
\(50\) | −2.37559 | − | 0.444074i | −0.335959 | − | 0.0628015i | ||||
\(51\) | 5.31226 | + | 1.34686i | 0.743865 | + | 0.188597i | ||||
\(52\) | −0.892168 | − | 5.74744i | −0.123721 | − | 0.797027i | ||||
\(53\) | −1.00051 | + | 1.16780i | −0.137430 | + | 0.160409i | −0.823873 | − | 0.566775i | \(-0.808191\pi\) |
0.686443 | + | 0.727184i | \(0.259171\pi\) | |||||||
\(54\) | −0.362886 | + | 1.24826i | −0.0493826 | + | 0.169866i | ||||
\(55\) | −17.1652 | + | 12.1510i | −2.31456 | + | 1.63844i | ||||
\(56\) | 0.416038 | + | 0.720599i | 0.0555954 | + | 0.0962940i | ||||
\(57\) | 2.83352 | − | 6.65907i | 0.375309 | − | 0.882016i | ||||
\(58\) | −0.128664 | − | 1.38851i | −0.0168944 | − | 0.182320i | ||||
\(59\) | −4.92922 | − | 7.43894i | −0.641730 | − | 0.968468i | −0.999401 | − | 0.0346198i | \(-0.988978\pi\) |
0.357671 | − | 0.933848i | \(-0.383571\pi\) | |||||||
\(60\) | 3.53971 | − | 12.3513i | 0.456975 | − | 1.59455i | ||||
\(61\) | 7.04650 | − | 3.78389i | 0.902212 | − | 0.484478i | 0.0447347 | − | 0.998999i | \(-0.485756\pi\) |
0.857478 | + | 0.514521i | \(0.172030\pi\) | |||||||
\(62\) | 0.227132 | − | 0.234237i | 0.0288457 | − | 0.0297482i | ||||
\(63\) | 2.22804 | + | 1.20739i | 0.280706 | + | 0.152117i | ||||
\(64\) | 3.93933 | + | 5.21652i | 0.492417 | + | 0.652065i | ||||
\(65\) | −7.47859 | − | 8.72905i | −0.927605 | − | 1.08271i | ||||
\(66\) | 1.18609 | + | 2.06344i | 0.145998 | + | 0.253992i | ||||
\(67\) | −2.90875 | + | 5.84155i | −0.355360 | + | 0.713659i | −0.998649 | − | 0.0519642i | \(-0.983452\pi\) |
0.643289 | + | 0.765624i | \(0.277569\pi\) | |||||||
\(68\) | −2.03738 | + | 5.78165i | −0.247068 | + | 0.701128i | ||||
\(69\) | 3.58659 | − | 5.39038i | 0.431775 | − | 0.648925i | ||||
\(70\) | 0.712861 | + | 0.382798i | 0.0852031 | + | 0.0457531i | ||||
\(71\) | −13.4423 | − | 3.38088i | −1.59531 | − | 0.401237i | −0.658925 | − | 0.752208i | \(-0.728989\pi\) |
−0.936386 | + | 0.350971i | \(0.885851\pi\) | |||||||
\(72\) | −2.75146 | − | 1.07800i | −0.324263 | − | 0.127043i | ||||
\(73\) | −0.789844 | − | 2.77601i | −0.0924443 | − | 0.324908i | 0.901785 | − | 0.432185i | \(-0.142257\pi\) |
−0.994229 | + | 0.107277i | \(0.965787\pi\) | |||||||
\(74\) | −0.215464 | + | 0.757279i | −0.0250472 | + | 0.0880319i | ||||
\(75\) | −4.54827 | − | 16.1020i | −0.525189 | − | 1.85930i | ||||
\(76\) | 7.13171 | + | 3.82965i | 0.818063 | + | 0.439291i | ||||
\(77\) | 4.42142 | − | 1.40656i | 0.503868 | − | 0.160292i | ||||
\(78\) | −1.06317 | + | 0.749565i | −0.120380 | + | 0.0848716i | ||||
\(79\) | −5.27755 | − | 5.44266i | −0.593771 | − | 0.612347i | 0.352464 | − | 0.935825i | \(-0.385344\pi\) |
−0.946236 | + | 0.323479i | \(0.895148\pi\) | |||||||
\(80\) | 12.9545 | + | 5.01861i | 1.44836 | + | 0.561098i | ||||
\(81\) | −8.85911 | + | 1.58626i | −0.984345 | + | 0.176251i | ||||
\(82\) | 1.74037 | − | 0.215504i | 0.192192 | − | 0.0237985i | ||||
\(83\) | −0.514992 | − | 1.03424i | −0.0565277 | − | 0.113523i | 0.865098 | − | 0.501603i | \(-0.167256\pi\) |
−0.921626 | + | 0.388080i | \(0.873138\pi\) | |||||||
\(84\) | −1.57024 | + | 2.35996i | −0.171328 | + | 0.257493i | ||||
\(85\) | 2.59177 | + | 11.8344i | 0.281116 | + | 1.28362i | ||||
\(86\) | 1.64581 | + | 1.01904i | 0.177472 | + | 0.109886i | ||||
\(87\) | 8.21800 | − | 5.06673i | 0.881062 | − | 0.543211i | ||||
\(88\) | −4.91522 | + | 2.26136i | −0.523964 | + | 0.241062i | ||||
\(89\) | −2.59649 | − | 2.36701i | −0.275227 | − | 0.250903i | 0.524299 | − | 0.851534i | \(-0.324328\pi\) |
−0.799526 | + | 0.600632i | \(0.794916\pi\) | |||||||
\(90\) | −2.82670 | + | 0.517260i | −0.297960 | + | 0.0545240i | ||||
\(91\) | 0.988463 | + | 2.33534i | 0.103619 | + | 0.244810i | ||||
\(92\) | 5.64227 | + | 4.54032i | 0.588247 | + | 0.473361i | ||||
\(93\) | 2.15133 | + | 0.688906i | 0.223083 | + | 0.0714362i | ||||
\(94\) | 0.853902 | + | 0.687133i | 0.0880733 | + | 0.0708723i | ||||
\(95\) | 15.9675 | − | 0.984839i | 1.63823 | − | 0.101042i | ||||
\(96\) | 2.23027 | − | 4.45768i | 0.227626 | − | 0.454961i | ||||
\(97\) | 8.73682 | − | 5.40961i | 0.887090 | − | 0.549263i | −0.00557468 | − | 0.999984i | \(-0.501774\pi\) |
0.892665 | + | 0.450722i | \(0.148833\pi\) | |||||||
\(98\) | 1.09481 | + | 1.12906i | 0.110592 | + | 0.114052i | ||||
\(99\) | −9.15417 | + | 13.7013i | −0.920029 | + | 1.37704i | ||||
\(100\) | 18.3973 | − | 3.43904i | 1.83973 | − | 0.343904i | ||||
\(101\) | −1.84867 | + | 0.716180i | −0.183950 | + | 0.0712626i | −0.451455 | − | 0.892294i | \(-0.649095\pi\) |
0.267505 | + | 0.963556i | \(0.413801\pi\) | |||||||
\(102\) | 1.36096 | − | 0.165890i | 0.134755 | − | 0.0164256i | ||||
\(103\) | 5.26468 | + | 8.67659i | 0.518744 | + | 0.854929i | ||||
\(104\) | −1.47858 | − | 2.56097i | −0.144986 | − | 0.251124i | ||||
\(105\) | −0.183184 | + | 5.59901i | −0.0178769 | + | 0.546407i | ||||
\(106\) | −0.127860 | + | 0.362841i | −0.0124189 | + | 0.0352422i | ||||
\(107\) | 2.16101 | + | 9.86747i | 0.208913 | + | 0.953924i | 0.956947 | + | 0.290264i | \(0.0937431\pi\) |
−0.748034 | + | 0.663660i | \(0.769002\pi\) | |||||||
\(108\) | −0.871552 | − | 10.0293i | −0.0838651 | − | 0.965070i | ||||
\(109\) | 3.56547 | + | 1.91462i | 0.341510 | + | 0.183387i | 0.634878 | − | 0.772613i | \(-0.281050\pi\) |
−0.293367 | + | 0.956000i | \(0.594776\pi\) | |||||||
\(110\) | −2.90617 | + | 4.38585i | −0.277092 | + | 0.418174i | ||||
\(111\) | −5.36013 | + | 0.991415i | −0.508761 | + | 0.0941009i | ||||
\(112\) | −2.38786 | − | 1.92151i | −0.225632 | − | 0.181565i | ||||
\(113\) | 11.8089 | − | 8.35938i | 1.11089 | − | 0.786384i | 0.132099 | − | 0.991237i | \(-0.457828\pi\) |
0.978793 | + | 0.204852i | \(0.0656714\pi\) | |||||||
\(114\) | 0.0592017 | − | 1.80950i | 0.00554475 | − | 0.169475i | ||||
\(115\) | 14.2042 | + | 1.75886i | 1.32455 | + | 0.164014i | ||||
\(116\) | 4.81356 | + | 9.66694i | 0.446928 | + | 0.897553i | ||||
\(117\) | −7.91832 | − | 4.29101i | −0.732049 | − | 0.396704i | ||||
\(118\) | −1.82216 | − | 1.28988i | −0.167744 | − | 0.118743i | ||||
\(119\) | 0.246610 | − | 2.66135i | 0.0226067 | − | 0.243966i | ||||
\(120\) | −0.590351 | − | 6.50582i | −0.0538914 | − | 0.593897i | ||||
\(121\) | 4.10098 | + | 18.7257i | 0.372817 | + | 1.70233i | ||||
\(122\) | 1.30184 | − | 1.51952i | 0.117863 | − | 0.137570i | ||||
\(123\) | 6.68715 | + | 10.1338i | 0.602960 | + | 0.913734i | ||||
\(124\) | −0.984903 | + | 2.32692i | −0.0884469 | + | 0.208964i | ||||
\(125\) | 13.1866 | − | 12.0211i | 1.17944 | − | 1.07520i | ||||
\(126\) | 0.628870 | + | 0.0803056i | 0.0560242 | + | 0.00715419i | ||||
\(127\) | 2.14403 | − | 7.53549i | 0.190252 | − | 0.668667i | −0.806722 | − | 0.590931i | \(-0.798760\pi\) |
0.996974 | − | 0.0777356i | \(-0.0247690\pi\) | |||||||
\(128\) | 6.28389 | + | 3.89082i | 0.555423 | + | 0.343903i | ||||
\(129\) | −1.26201 | + | 13.3425i | −0.111114 | + | 1.17474i | ||||
\(130\) | −2.53347 | − | 1.36044i | −0.222200 | − | 0.119319i | ||||
\(131\) | 1.28960 | − | 1.03774i | 0.112673 | − | 0.0906677i | −0.568946 | − | 0.822375i | \(-0.692649\pi\) |
0.681619 | + | 0.731707i | \(0.261276\pi\) | |||||||
\(132\) | −14.3378 | − | 11.5827i | −1.24794 | − | 1.00814i | ||||
\(133\) | −3.42280 | − | 0.860870i | −0.296795 | − | 0.0746469i | ||||
\(134\) | −0.150633 | + | 1.62558i | −0.0130127 | + | 0.140429i | ||||
\(135\) | −11.8987 | − | 15.9452i | −1.02408 | − | 1.37234i | ||||
\(136\) | 0.0959795 | + | 3.11524i | 0.00823018 | + | 0.267130i | ||||
\(137\) | −8.88094 | + | 10.3659i | −0.758750 | + | 0.885617i | −0.996316 | − | 0.0857543i | \(-0.972670\pi\) |
0.237566 | + | 0.971371i | \(0.423650\pi\) | |||||||
\(138\) | 0.349534 | − | 1.58159i | 0.0297543 | − | 0.134634i | ||||
\(139\) | −9.55202 | + | 19.1830i | −0.810192 | + | 1.62708i | −0.0316442 | + | 0.999499i | \(0.510074\pi\) |
−0.778548 | + | 0.627585i | \(0.784043\pi\) | |||||||
\(140\) | −6.21872 | − | 0.770044i | −0.525578 | − | 0.0650806i | ||||
\(141\) | −1.63752 | + | 7.40955i | −0.137904 | + | 0.623996i | ||||
\(142\) | −3.44136 | + | 0.426132i | −0.288792 | + | 0.0357602i | ||||
\(143\) | −15.7135 | + | 4.99882i | −1.31403 | + | 0.418023i | ||||
\(144\) | 10.8851 | + | 0.0414866i | 0.907093 | + | 0.00345721i | ||||
\(145\) | 18.1453 | + | 11.2351i | 1.50689 | + | 0.933026i | ||||
\(146\) | −0.435130 | − | 0.576206i | −0.0360116 | − | 0.0476871i | ||||
\(147\) | −3.63839 | + | 10.2626i | −0.300090 | + | 0.846443i | ||||
\(148\) | −0.562593 | − | 6.07135i | −0.0462449 | − | 0.499062i | ||||
\(149\) | 9.89048 | − | 17.1308i | 0.810259 | − | 1.40341i | −0.102423 | − | 0.994741i | \(-0.532660\pi\) |
0.912682 | − | 0.408669i | \(-0.134007\pi\) | |||||||
\(150\) | −2.51620 | − | 3.34523i | −0.205447 | − | 0.273137i | ||||
\(151\) | −0.0272729 | − | 0.294321i | −0.00221943 | − | 0.0239515i | 0.994552 | − | 0.104237i | \(-0.0332402\pi\) |
−0.996772 | + | 0.0802859i | \(0.974417\pi\) | |||||||
\(152\) | 4.08447 | + | 0.505767i | 0.331294 | + | 0.0410231i | ||||
\(153\) | 5.21298 | + | 7.93267i | 0.421444 | + | 0.641318i | ||||
\(154\) | 0.904311 | − | 0.727697i | 0.0728715 | − | 0.0586395i | ||||
\(155\) | 0.765980 | + | 4.93453i | 0.0615250 | + | 0.396351i | ||||
\(156\) | 5.58057 | − | 8.38716i | 0.446803 | − | 0.671510i | ||||
\(157\) | −9.37958 | − | 22.1601i | −0.748572 | − | 1.76857i | −0.631397 | − | 0.775460i | \(-0.717518\pi\) |
−0.117175 | − | 0.993111i | \(-0.537384\pi\) | |||||||
\(158\) | −1.72301 | − | 0.792711i | −0.137075 | − | 0.0630647i | ||||
\(159\) | −2.64394 | + | 0.322276i | −0.209678 | + | 0.0255582i | ||||
\(160\) | 11.0187 | 0.871105 | ||||||||
\(161\) | −2.86859 | − | 1.31976i | −0.226077 | − | 0.104012i | ||||
\(162\) | −1.92329 | + | 1.17066i | −0.151108 | + | 0.0919761i | ||||
\(163\) | 3.21941 | − | 7.60616i | 0.252164 | − | 0.595761i | −0.745316 | − | 0.666711i | \(-0.767701\pi\) |
0.997480 | + | 0.0709508i | \(0.0226033\pi\) | |||||||
\(164\) | −11.9649 | + | 6.42503i | −0.934303 | + | 0.501710i | ||||
\(165\) | −36.1416 | − | 4.54525i | −2.81362 | − | 0.353847i | ||||
\(166\) | −0.213604 | − | 0.194726i | −0.0165789 | − | 0.0151137i | ||||
\(167\) | −0.935349 | + | 2.20985i | −0.0723794 | + | 0.171003i | −0.953117 | − | 0.302601i | \(-0.902145\pi\) |
0.880738 | + | 0.473604i | \(0.157047\pi\) | |||||||
\(168\) | −0.311002 | + | 1.40724i | −0.0239943 | + | 0.108571i | ||||
\(169\) | 1.55427 | + | 3.67211i | 0.119559 | + | 0.282470i | ||||
\(170\) | 1.67411 | + | 2.52648i | 0.128398 | + | 0.193772i | ||||
\(171\) | 11.4071 | − | 5.19553i | 0.872325 | − | 0.397312i | ||||
\(172\) | −14.7358 | − | 2.75460i | −1.12359 | − | 0.210036i | ||||
\(173\) | 14.6016 | + | 7.84088i | 1.11014 | + | 0.596131i | 0.922457 | − | 0.386099i | \(-0.126178\pi\) |
0.187680 | + | 0.982230i | \(0.439903\pi\) | |||||||
\(174\) | 1.45919 | − | 1.92465i | 0.110621 | − | 0.145907i | ||||
\(175\) | −7.41326 | + | 3.41064i | −0.560390 | + | 0.257820i | ||||
\(176\) | 13.8737 | − | 14.3077i | 1.04577 | − | 1.07848i | ||||
\(177\) | 2.40001 | − | 15.2691i | 0.180396 | − | 1.14770i | ||||
\(178\) | −0.819620 | − | 0.317522i | −0.0614331 | − | 0.0237993i | ||||
\(179\) | 17.3023 | − | 10.7131i | 1.29323 | − | 0.800735i | 0.304802 | − | 0.952416i | \(-0.401410\pi\) |
0.988430 | + | 0.151681i | \(0.0484685\pi\) | |||||||
\(180\) | 18.9655 | − | 11.6432i | 1.41361 | − | 0.867833i | ||||
\(181\) | −0.529975 | + | 17.2016i | −0.0393927 | + | 1.27858i | 0.748651 | + | 0.662964i | \(0.230702\pi\) |
−0.788044 | + | 0.615619i | \(0.788906\pi\) | |||||||
\(182\) | 0.441639 | + | 0.455455i | 0.0327364 | + | 0.0337606i | ||||
\(183\) | 13.4284 | + | 3.40460i | 0.992656 | + | 0.251675i | ||||
\(184\) | 3.50886 | + | 1.11625i | 0.258677 | + | 0.0822910i | ||||
\(185\) | −7.26180 | − | 9.61618i | −0.533898 | − | 0.706996i | ||||
\(186\) | 0.564120 | − | 0.0337147i | 0.0413632 | − | 0.00247208i | ||||
\(187\) | 17.0833 | + | 3.19343i | 1.24926 | + | 0.233526i | ||||
\(188\) | −8.08863 | − | 2.57318i | −0.589924 | − | 0.187668i | ||||
\(189\) | 1.43511 | + | 4.14805i | 0.104389 | + | 0.301726i | ||||
\(190\) | 3.63587 | − | 1.67277i | 0.263774 | − | 0.121355i | ||||
\(191\) | 1.59156 | − | 0.732234i | 0.115161 | − | 0.0529826i | −0.359539 | − | 0.933130i | \(-0.617066\pi\) |
0.474701 | + | 0.880147i | \(0.342556\pi\) | |||||||
\(192\) | −1.06616 | + | 11.2719i | −0.0769434 | + | 0.813476i | ||||
\(193\) | −5.54585 | + | 8.36953i | −0.399199 | + | 0.602452i | −0.976874 | − | 0.213815i | \(-0.931411\pi\) |
0.577675 | + | 0.816267i | \(0.303960\pi\) | |||||||
\(194\) | 1.54924 | − | 2.05152i | 0.111229 | − | 0.147291i | ||||
\(195\) | 0.651026 | − | 19.8986i | 0.0466210 | − | 1.42497i | ||||
\(196\) | −11.0646 | − | 5.09053i | −0.790330 | − | 0.363609i | ||||
\(197\) | 19.3711 | − | 7.50440i | 1.38013 | − | 0.534667i | 0.447109 | − | 0.894479i | \(-0.352454\pi\) |
0.933024 | + | 0.359813i | \(0.117159\pi\) | |||||||
\(198\) | −0.897249 | + | 4.02352i | −0.0637647 | + | 0.285939i | ||||
\(199\) | −23.1656 | − | 1.42881i | −1.64217 | − | 0.101285i | −0.786082 | − | 0.618122i | \(-0.787894\pi\) |
−0.856084 | + | 0.516837i | \(0.827109\pi\) | |||||||
\(200\) | 8.09040 | − | 5.00936i | 0.572078 | − | 0.354215i | ||||
\(201\) | −10.5473 | + | 4.06296i | −0.743951 | + | 0.286579i | ||||
\(202\) | −0.366534 | + | 0.334140i | −0.0257892 | + | 0.0235100i | ||||
\(203\) | −3.06339 | − | 3.57561i | −0.215008 | − | 0.250958i | ||||
\(204\) | −9.36386 | + | 5.00532i | −0.655602 | + | 0.350443i | ||||
\(205\) | −13.4198 | + | 23.2438i | −0.937281 | + | 1.62342i | ||||
\(206\) | 2.01227 | + | 1.54828i | 0.140201 | + | 0.107874i | ||||
\(207\) | 10.8859 | − | 2.69384i | 0.756622 | − | 0.187235i | ||||
\(208\) | 8.48633 | + | 6.82893i | 0.588421 | + | 0.473501i | ||||
\(209\) | 7.62738 | − | 21.6449i | 0.527597 | − | 1.49721i | ||||
\(210\) | 0.463265 | + | 1.32269i | 0.0319683 | + | 0.0912740i | ||||
\(211\) | −2.88611 | + | 10.1436i | −0.198688 | + | 0.698316i | 0.796869 | + | 0.604153i | \(0.206488\pi\) |
−0.995557 | + | 0.0941635i | \(0.969982\pi\) | |||||||
\(212\) | −0.0917481 | − | 2.97790i | −0.00630129 | − | 0.204523i | ||||
\(213\) | −13.2230 | − | 20.0383i | −0.906023 | − | 1.37300i | ||||
\(214\) | 1.39587 | + | 2.10658i | 0.0954196 | + | 0.144003i | ||||
\(215\) | −27.6259 | + | 10.7023i | −1.88407 | + | 0.729894i | ||||
\(216\) | −2.25523 | − | 4.59476i | −0.153449 | − | 0.312634i | ||||
\(217\) | 0.168989 | − | 1.08865i | 0.0114717 | − | 0.0739021i | ||||
\(218\) | 1.00478 | + | 0.124419i | 0.0680523 | + | 0.00842670i | ||||
\(219\) | 2.23678 | − | 4.47070i | 0.151148 | − | 0.302102i | ||||
\(220\) | 8.71676 | − | 39.8019i | 0.587684 | − | 2.68345i | ||||
\(221\) | −0.876440 | + | 9.45829i | −0.0589557 | + | 0.636234i | ||||
\(222\) | −1.16081 | + | 0.715687i | −0.0779085 | + | 0.0480337i | ||||
\(223\) | −0.768010 | + | 24.9276i | −0.0514297 | + | 1.66927i | 0.524225 | + | 0.851580i | \(0.324355\pi\) |
−0.575655 | + | 0.817693i | \(0.695253\pi\) | |||||||
\(224\) | −2.31653 | − | 0.736941i | −0.154780 | − | 0.0492389i | ||||
\(225\) | 13.0166 | − | 25.8931i | 0.867776 | − | 1.72621i | ||||
\(226\) | 1.99932 | − | 3.01728i | 0.132993 | − | 0.200706i | ||||
\(227\) | 8.54086 | − | 20.1786i | 0.566877 | − | 1.33930i | −0.348730 | − | 0.937223i | \(-0.613387\pi\) |
0.915606 | − | 0.402076i | \(-0.131711\pi\) | |||||||
\(228\) | 4.63467 | + | 13.2326i | 0.306938 | + | 0.876352i | ||||
\(229\) | −2.61615 | − | 16.8535i | −0.172880 | − | 1.11371i | −0.902762 | − | 0.430140i | \(-0.858464\pi\) |
0.729882 | − | 0.683573i | \(-0.239575\pi\) | |||||||
\(230\) | 3.47249 | − | 0.873366i | 0.228969 | − | 0.0575880i | ||||
\(231\) | 7.29429 | + | 3.37276i | 0.479929 | + | 0.221911i | ||||
\(232\) | 4.05756 | + | 3.69895i | 0.266392 | + | 0.242848i | ||||
\(233\) | 6.74698 | − | 4.17755i | 0.442009 | − | 0.273681i | −0.287331 | − | 0.957831i | \(-0.592768\pi\) |
0.729341 | + | 0.684151i | \(0.239827\pi\) | |||||||
\(234\) | −2.23497 | − | 0.285402i | −0.146104 | − | 0.0186573i | ||||
\(235\) | −16.2681 | + | 4.09160i | −1.06122 | + | 0.266907i | ||||
\(236\) | 16.7670 | + | 4.21707i | 1.09144 | + | 0.274508i | ||||
\(237\) | −0.379360 | − | 13.1256i | −0.0246421 | − | 0.852599i | ||||
\(238\) | −0.182985 | − | 0.643124i | −0.0118611 | − | 0.0416875i | ||||
\(239\) | −22.7552 | + | 14.0894i | −1.47191 | + | 0.911367i | −0.472358 | + | 0.881407i | \(0.656597\pi\) |
−0.999551 | + | 0.0299604i | \(0.990462\pi\) | |||||||
\(240\) | 10.6847 | + | 21.5606i | 0.689692 | + | 1.39173i | ||||
\(241\) | −3.64017 | + | 0.680466i | −0.234484 | + | 0.0438327i | −0.299680 | − | 0.954040i | \(-0.596880\pi\) |
0.0651958 | + | 0.997872i | \(0.479233\pi\) | |||||||
\(242\) | 2.64896 | + | 3.99769i | 0.170282 | + | 0.256981i | ||||
\(243\) | −13.1748 | − | 8.33217i | −0.845163 | − | 0.534509i | ||||
\(244\) | −5.15011 | + | 14.6149i | −0.329702 | + | 0.935625i | ||||
\(245\) | −23.8876 | + | 2.95792i | −1.52612 | + | 0.188975i | ||||
\(246\) | 2.47579 | + | 1.75967i | 0.157851 | + | 0.112192i | ||||
\(247\) | 12.1645 | + | 3.05948i | 0.774006 | + | 0.194670i | ||||
\(248\) | −0.0395619 | + | 1.28407i | −0.00251218 | + | 0.0815387i | ||||
\(249\) | 0.551309 | − | 1.92372i | 0.0349378 | − | 0.121911i | ||||
\(250\) | 1.98977 | − | 3.99599i | 0.125844 | − | 0.252728i | ||||
\(251\) | 28.4192 | + | 13.0749i | 1.79380 | + | 0.825281i | 0.963376 | + | 0.268155i | \(0.0864138\pi\) |
0.830428 | + | 0.557126i | \(0.188096\pi\) | |||||||
\(252\) | −4.76595 | + | 1.17939i | −0.300226 | + | 0.0742945i | ||||
\(253\) | 10.2660 | − | 17.7813i | 0.645420 | − | 1.11790i | ||||
\(254\) | −0.180846 | − | 1.95164i | −0.0113473 | − | 0.122456i | ||||
\(255\) | −10.5264 | + | 18.1522i | −0.659187 | + | 1.13674i | ||||
\(256\) | −11.0336 | − | 2.06253i | −0.689598 | − | 0.128908i | ||||
\(257\) | 14.5653 | + | 5.64264i | 0.908561 | + | 0.351978i | 0.769754 | − | 0.638341i | \(-0.220379\pi\) |
0.138807 | + | 0.990319i | \(0.455673\pi\) | |||||||
\(258\) | 0.911396 | + | 3.22657i | 0.0567411 | + | 0.200878i | ||||
\(259\) | 0.883554 | + | 2.50735i | 0.0549014 | + | 0.155799i | ||||
\(260\) | 22.1010 | + | 2.73670i | 1.37065 | + | 0.169723i | ||||
\(261\) | 16.4253 | + | 3.13527i | 1.01670 | + | 0.194068i | ||||
\(262\) | 0.207054 | − | 0.358628i | 0.0127918 | − | 0.0221561i | ||||
\(263\) | −13.0985 | −0.807691 | −0.403846 | − | 0.914827i | \(-0.632327\pi\) | ||||
−0.403846 | + | 0.914827i | \(0.632327\pi\) | |||||||
\(264\) | −8.92478 | − | 2.85792i | −0.549283 | − | 0.175893i | ||||
\(265\) | −3.25230 | − | 4.90822i | −0.199787 | − | 0.301509i | ||||
\(266\) | −0.876268 | + | 0.108505i | −0.0537274 | + | 0.00665290i | ||||
\(267\) | −0.549952 | − | 6.06061i | −0.0336565 | − | 0.370904i | ||||
\(268\) | −3.45991 | − | 12.1603i | −0.211348 | − | 0.742810i | ||||
\(269\) | −26.8300 | + | 8.53522i | −1.63585 | + | 0.520402i | −0.973480 | − | 0.228774i | \(-0.926528\pi\) |
−0.662372 | + | 0.749175i | \(0.730450\pi\) | |||||||
\(270\) | −4.21673 | − | 2.64435i | −0.256622 | − | 0.160930i | ||||
\(271\) | −1.95784 | + | 5.55595i | −0.118930 | + | 0.337500i | −0.987400 | − | 0.158242i | \(-0.949417\pi\) |
0.868470 | + | 0.495742i | \(0.165104\pi\) | |||||||
\(272\) | −4.47495 | − | 10.5725i | −0.271333 | − | 0.641051i | ||||
\(273\) | −1.46770 | + | 4.13986i | −0.0888295 | + | 0.250556i | ||||
\(274\) | −1.13494 | + | 3.22074i | −0.0685645 | + | 0.194572i | ||||
\(275\) | −17.6350 | − | 50.0444i | −1.06343 | − | 3.01779i | ||||
\(276\) | 1.90050 | + | 12.3991i | 0.114397 | + | 0.746337i | ||||
\(277\) | 1.89677 | − | 1.95610i | 0.113966 | − | 0.117531i | −0.658520 | − | 0.752563i | \(-0.728817\pi\) |
0.772486 | + | 0.635032i | \(0.219013\pi\) | |||||||
\(278\) | −0.494661 | + | 5.33825i | −0.0296678 | + | 0.320167i | ||||
\(279\) | 1.94337 | + | 3.39585i | 0.116347 | + | 0.203304i | ||||
\(280\) | −3.08969 | + | 0.777088i | −0.184644 | + | 0.0464399i | ||||
\(281\) | 19.5107 | + | 7.55847i | 1.16391 | + | 0.450901i | 0.864209 | − | 0.503133i | \(-0.167819\pi\) |
0.299700 | + | 0.954034i | \(0.403114\pi\) | |||||||
\(282\) | 0.287623 | + | 1.87648i | 0.0171277 | + | 0.111743i | ||||
\(283\) | −8.15138 | + | 2.59314i | −0.484549 | + | 0.154146i | −0.535466 | − | 0.844557i | \(-0.679864\pi\) |
0.0509171 | + | 0.998703i | \(0.483786\pi\) | |||||||
\(284\) | 23.6591 | − | 12.7047i | 1.40391 | − | 0.753883i | ||||
\(285\) | 21.5544 | + | 17.4125i | 1.27677 | + | 1.03143i | ||||
\(286\) | −3.21387 | + | 2.58619i | −0.190040 | + | 0.152925i | ||||
\(287\) | 4.37590 | − | 3.98916i | 0.258301 | − | 0.235473i | ||||
\(288\) | 8.06221 | − | 3.08803i | 0.475071 | − | 0.181964i | ||||
\(289\) | −3.86027 | + | 5.82574i | −0.227075 | + | 0.342691i | ||||
\(290\) | 5.24828 | + | 0.981073i | 0.308190 | + | 0.0576106i | ||||
\(291\) | 17.4892 | + | 3.30381i | 1.02524 | + | 0.193673i | ||||
\(292\) | 4.75420 | + | 2.94368i | 0.278219 | + | 0.172266i | ||||
\(293\) | 26.7924 | + | 18.9660i | 1.56523 | + | 1.10800i | 0.946642 | + | 0.322288i | \(0.104452\pi\) |
0.618588 | + | 0.785715i | \(0.287705\pi\) | |||||||
\(294\) | 0.0786969 | + | 2.72286i | 0.00458970 | + | 0.158800i | ||||
\(295\) | 32.5604 | − | 10.3582i | 1.89574 | − | 0.603078i | ||||
\(296\) | −1.38182 | − | 2.77506i | −0.0803165 | − | 0.161297i | ||||
\(297\) | −27.7181 | + | 6.80314i | −1.60837 | + | 0.394758i | ||||
\(298\) | 0.759082 | − | 4.89009i | 0.0439725 | − | 0.283275i | ||||
\(299\) | 10.1948 | + | 4.69037i | 0.589582 | + | 0.271251i | ||||
\(300\) | 27.5289 | + | 17.1178i | 1.58938 | + | 0.988298i | ||||
\(301\) | 6.52375 | − | 0.402371i | 0.376023 | − | 0.0231923i | ||||
\(302\) | −0.0329608 | − | 0.0661942i | −0.00189668 | − | 0.00380905i | ||||
\(303\) | −3.19963 | − | 1.24656i | −0.183814 | − | 0.0716130i | ||||
\(304\) | −14.7023 | + | 3.69778i | −0.843234 | + | 0.212082i | ||||
\(305\) | 6.55150 | + | 29.9151i | 0.375138 | + | 1.71293i | ||||
\(306\) | 1.93298 | + | 1.37941i | 0.110501 | + | 0.0788558i | ||||
\(307\) | −8.98281 | − | 7.22844i | −0.512676 | − | 0.412549i | 0.335679 | − | 0.941976i | \(-0.391034\pi\) |
−0.848355 | + | 0.529427i | \(0.822407\pi\) | |||||||
\(308\) | −4.49457 | + | 7.78482i | −0.256102 | + | 0.443581i | ||||
\(309\) | −3.41856 | + | 17.2428i | −0.194475 | + | 0.980907i | ||||
\(310\) | 0.624634 | + | 1.08190i | 0.0354768 | + | 0.0614477i | ||||
\(311\) | 3.28084 | − | 21.1355i | 0.186040 | − | 1.19849i | −0.692715 | − | 0.721212i | \(-0.743585\pi\) |
0.878754 | − | 0.477275i | \(-0.158375\pi\) | |||||||
\(312\) | 1.10528 | − | 5.00126i | 0.0625744 | − | 0.283140i | ||||
\(313\) | −20.4514 | − | 6.50607i | −1.15598 | − | 0.367745i | −0.336968 | − | 0.941516i | \(-0.609402\pi\) |
−0.819016 | + | 0.573771i | \(0.805480\pi\) | |||||||
\(314\) | −4.19073 | − | 4.32184i | −0.236497 | − | 0.243895i | ||||
\(315\) | −6.78106 | + | 6.94007i | −0.382069 | + | 0.391029i | ||||
\(316\) | 14.6601 | + | 0.904205i | 0.824696 | + | 0.0508655i | ||||
\(317\) | −4.19114 | − | 6.32506i | −0.235398 | − | 0.355251i | 0.696759 | − | 0.717305i | \(-0.254625\pi\) |
−0.932157 | + | 0.362054i | \(0.882076\pi\) | |||||||
\(318\) | −0.587651 | + | 0.314121i | −0.0329538 | + | 0.0176150i | ||||
\(319\) | 24.9887 | − | 17.6891i | 1.39910 | − | 0.990400i | ||||
\(320\) | −23.3386 | + | 9.04144i | −1.30467 | + | 0.505432i | ||||
\(321\) | −8.77687 | + | 15.1353i | −0.489877 | + | 0.844770i | ||||
\(322\) | −0.788454 | − | 0.0486302i | −0.0439388 | − | 0.00271005i | ||||
\(323\) | −9.76980 | − | 8.90635i | −0.543606 | − | 0.495563i | ||||
\(324\) | 10.6137 | − | 13.8343i | 0.589652 | − | 0.768572i | ||||
\(325\) | 26.3463 | − | 12.1212i | 1.46143 | − | 0.672365i | ||||
\(326\) | 0.0636314 | − | 2.06531i | 0.00352422 | − | 0.114387i | ||||
\(327\) | 2.31709 | + | 6.61560i | 0.128135 | + | 0.365844i | ||||
\(328\) | −4.49245 | + | 5.24360i | −0.248054 | + | 0.289530i | ||||
\(329\) | 3.69380 | + | 0.227826i | 0.203646 | + | 0.0125604i | ||||
\(330\) | −8.84186 | + | 2.20591i | −0.486728 | + | 0.121431i | ||||
\(331\) | −0.128642 | − | 0.587398i | −0.00707081 | − | 0.0322863i | 0.973180 | − | 0.230047i | \(-0.0738880\pi\) |
−0.980250 | + | 0.197761i | \(0.936633\pi\) | |||||||
\(332\) | 2.08727 | + | 0.808612i | 0.114554 | + | 0.0443784i | ||||
\(333\) | −8.00832 | − | 5.00086i | −0.438853 | − | 0.274046i | ||||
\(334\) | −0.0184871 | + | 0.600041i | −0.00101157 | + | 0.0328328i | ||||
\(335\) | −18.4649 | − | 16.8330i | −1.00884 | − | 0.919684i | ||||
\(336\) | −0.804311 | − | 5.24741i | −0.0438787 | − | 0.286270i | ||||
\(337\) | −22.8470 | + | 18.3849i | −1.24456 | + | 1.00149i | −0.245067 | + | 0.969506i | \(0.578810\pi\) |
−0.999488 | + | 0.0319844i | \(0.989817\pi\) | |||||||
\(338\) | 0.694438 | + | 0.716163i | 0.0377724 | + | 0.0389541i | ||||
\(339\) | 24.8639 | + | 3.12694i | 1.35042 | + | 0.169832i | ||||
\(340\) | −19.1573 | − | 13.5612i | −1.03895 | − | 0.735459i | ||||
\(341\) | 6.94720 | + | 1.74729i | 0.376212 | + | 0.0946210i | ||||
\(342\) | 2.19151 | − | 2.24290i | 0.118503 | − | 0.121282i | ||||
\(343\) | 11.0322 | + | 2.06228i | 0.595683 | + | 0.111353i | ||||
\(344\) | −7.49208 | + | 1.40051i | −0.403946 | + | 0.0755106i | ||||
\(345\) | 16.0931 | + | 18.8565i | 0.866422 | + | 1.01520i | ||||
\(346\) | 4.11485 | + | 0.509528i | 0.221215 | + | 0.0273924i | ||||
\(347\) | −3.32201 | + | 0.620991i | −0.178335 | + | 0.0333365i | −0.272159 | − | 0.962252i | \(-0.587738\pi\) |
0.0938246 | + | 0.995589i | \(0.470091\pi\) | |||||||
\(348\) | −5.15302 | + | 17.9807i | −0.276231 | + | 0.963868i | ||||
\(349\) | 5.98361 | − | 27.3220i | 0.320295 | − | 1.46251i | −0.487538 | − | 0.873102i | \(-0.662105\pi\) |
0.807833 | − | 0.589411i | \(-0.200640\pi\) | |||||||
\(350\) | −1.42113 | + | 1.46559i | −0.0759626 | + | 0.0783390i | ||||
\(351\) | −5.10030 | − | 14.7419i | −0.272234 | − | 0.786866i | ||||
\(352\) | 6.16126 | − | 14.5566i | 0.328396 | − | 0.775867i | ||||
\(353\) | 4.08346 | − | 8.20069i | 0.217340 | − | 0.436479i | −0.759482 | − | 0.650528i | \(-0.774548\pi\) |
0.976823 | + | 0.214049i | \(0.0686653\pi\) | |||||||
\(354\) | −0.820039 | − | 3.77885i | −0.0435846 | − | 0.200844i | ||||
\(355\) | 26.5360 | − | 45.9616i | 1.40838 | − | 2.43939i | ||||
\(356\) | 6.80705 | 0.360773 | ||||||||
\(357\) | 3.42706 | − | 3.11224i | 0.181379 | − | 0.164717i | ||||
\(358\) | 3.06808 | − | 4.06280i | 0.162153 | − | 0.214725i | ||||
\(359\) | 1.41329 | − | 1.64960i | 0.0745906 | − | 0.0870625i | −0.720861 | − | 0.693080i | \(-0.756253\pi\) |
0.795452 | + | 0.606017i | \(0.207234\pi\) | |||||||
\(360\) | 6.85300 | − | 9.00327i | 0.361185 | − | 0.474514i | ||||
\(361\) | 1.20184 | − | 0.967117i | 0.0632547 | − | 0.0509009i | ||||
\(362\) | 1.43092 | + | 4.06067i | 0.0752077 | + | 0.213424i | ||||
\(363\) | −16.6560 | + | 28.7225i | −0.874214 | + | 1.50754i | ||||
\(364\) | −4.46339 | − | 2.05349i | −0.233945 | − | 0.107632i | ||||
\(365\) | 11.0509 | 0.578429 | ||||||||
\(366\) | 3.44025 | − | 0.419340i | 0.179825 | − | 0.0219193i | ||||
\(367\) | −0.244061 | + | 0.172767i | −0.0127399 | + | 0.00901838i | −0.584126 | − | 0.811663i | \(-0.698563\pi\) |
0.571386 | + | 0.820681i | \(0.306406\pi\) | |||||||
\(368\) | −13.5375 | + | 0.834967i | −0.705693 | + | 0.0435256i | ||||
\(369\) | −3.30491 | + | 20.7681i | −0.172047 | + | 1.08114i | ||||
\(370\) | −2.56307 | − | 1.58698i | −0.133248 | − | 0.0825034i | ||||
\(371\) | 0.355485 | + | 1.24940i | 0.0184559 | + | 0.0648657i | ||||
\(372\) | −3.97938 | + | 1.82163i | −0.206322 | + | 0.0944470i | ||||
\(373\) | 6.51023 | − | 15.3810i | 0.337087 | − | 0.796399i | −0.661820 | − | 0.749662i | \(-0.730216\pi\) |
0.998907 | − | 0.0467366i | \(-0.0148822\pi\) | |||||||
\(374\) | 4.27378 | − | 0.798908i | 0.220992 | − | 0.0413105i | ||||
\(375\) | 30.9059 | + | 0.0588958i | 1.59598 | + | 0.00304137i | ||||
\(376\) | −4.30737 | + | 0.265670i | −0.222136 | + | 0.0137009i | ||||
\(377\) | 10.8871 | + | 12.7075i | 0.560716 | + | 0.654470i | ||||
\(378\) | 0.709651 | + | 0.837957i | 0.0365005 | + | 0.0430999i | ||||
\(379\) | −0.633409 | − | 20.5588i | −0.0325360 | − | 1.05603i | −0.864944 | − | 0.501869i | \(-0.832646\pi\) |
0.832408 | − | 0.554164i | \(-0.186962\pi\) | |||||||
\(380\) | −21.5762 | + | 22.2512i | −1.10684 | + | 1.14146i | ||||
\(381\) | 11.5509 | − | 7.12162i | 0.591772 | − | 0.364852i | ||||
\(382\) | 0.305104 | − | 0.314649i | 0.0156105 | − | 0.0160988i | ||||
\(383\) | −11.9894 | − | 12.3645i | −0.612632 | − | 0.631798i | 0.338359 | − | 0.941017i | \(-0.390128\pi\) |
−0.950991 | + | 0.309219i | \(0.899932\pi\) | |||||||
\(384\) | 3.47982 | + | 12.3194i | 0.177579 | + | 0.628673i | ||||
\(385\) | 0.547076 | + | 17.7566i | 0.0278816 | + | 0.904962i | ||||
\(386\) | −0.537353 | + | 2.45363i | −0.0273506 | + | 0.124886i | ||||
\(387\) | −17.2141 | + | 15.5730i | −0.875041 | + | 0.791620i | ||||
\(388\) | −5.44831 | + | 19.1488i | −0.276596 | + | 0.972135i | ||||
\(389\) | −29.8450 | + | 24.0162i | −1.51320 | + | 1.21767i | −0.607088 | + | 0.794635i | \(0.707662\pi\) |
−0.906114 | + | 0.423034i | \(0.860965\pi\) | |||||||
\(390\) | −1.64642 | − | 4.70076i | −0.0833697 | − | 0.238032i | ||||
\(391\) | −7.12771 | − | 9.43861i | −0.360464 | − | 0.477331i | ||||
\(392\) | −6.18062 | − | 0.381208i | −0.312168 | − | 0.0192539i | ||||
\(393\) | 2.86126 | + | 0.181951i | 0.144332 | + | 0.00917819i | ||||
\(394\) | 3.84068 | − | 3.50124i | 0.193491 | − | 0.176390i | ||||
\(395\) | 25.5736 | − | 13.7328i | 1.28675 | − | 0.690970i | ||||
\(396\) | −4.77672 | − | 31.5654i | −0.240039 | − | 1.58622i | ||||
\(397\) | −14.4417 | − | 10.2231i | −0.724808 | − | 0.513081i | 0.155292 | − | 0.987869i | \(-0.450368\pi\) |
−0.880100 | + | 0.474788i | \(0.842525\pi\) | |||||||
\(398\) | −5.53318 | + | 1.76023i | −0.277353 | + | 0.0882324i | ||||
\(399\) | −3.36695 | − | 5.10232i | −0.168558 | − | 0.255436i | ||||
\(400\) | −21.1231 | + | 27.9715i | −1.05616 | + | 1.39858i | ||||
\(401\) | −19.9582 | + | 7.73186i | −0.996666 | + | 0.386110i | −0.803661 | − | 0.595087i | \(-0.797117\pi\) |
−0.193005 | + | 0.981198i | \(0.561823\pi\) | |||||||
\(402\) | −2.09329 | + | 1.90099i | −0.104404 | + | 0.0948130i | ||||
\(403\) | −0.600578 | + | 3.86899i | −0.0299169 | + | 0.192728i | ||||
\(404\) | 1.71209 | − | 3.43834i | 0.0851797 | − | 0.171064i | ||||
\(405\) | 3.44101 | − | 34.2876i | 0.170985 | − | 1.70377i | ||||
\(406\) | −1.03776 | − | 0.557267i | −0.0515033 | − | 0.0276567i | ||||
\(407\) | −16.7643 | + | 4.21638i | −0.830973 | + | 0.208998i | ||||
\(408\) | −3.52005 | + | 4.09281i | −0.174268 | + | 0.202624i | ||||
\(409\) | 6.06609 | + | 7.08037i | 0.299949 | + | 0.350102i | 0.888928 | − | 0.458046i | \(-0.151451\pi\) |
−0.588980 | + | 0.808148i | \(0.700470\pi\) | |||||||
\(410\) | −1.02995 | + | 6.63508i | −0.0508658 | + | 0.327683i | ||||
\(411\) | −23.4688 | + | 2.86067i | −1.15763 | + | 0.141106i | ||||
\(412\) | −18.8627 | − | 5.55123i | −0.929299 | − | 0.273490i | ||||
\(413\) | −7.53814 | −0.370927 | ||||||||
\(414\) | 2.29600 | − | 1.61221i | 0.112842 | − | 0.0792356i | ||||
\(415\) | 4.34843 | − | 0.812863i | 0.213456 | − | 0.0399019i | ||||
\(416\) | 8.23282 | + | 2.61905i | 0.403647 | + | 0.128409i | ||||
\(417\) | −34.6363 | + | 13.3423i | −1.69615 | + | 0.653376i | ||||
\(418\) | −0.176805 | − | 5.73861i | −0.00864781 | − | 0.280685i | ||||
\(419\) | −10.9951 | − | 22.0811i | −0.537144 | − | 1.07873i | −0.982997 | − | 0.183624i | \(-0.941217\pi\) |
0.445853 | − | 0.895106i | \(-0.352900\pi\) | |||||||
\(420\) | −7.04570 | − | 8.25557i | −0.343795 | − | 0.402830i | ||||
\(421\) | −2.22232 | + | 14.3164i | −0.108309 | + | 0.697739i | 0.870378 | + | 0.492383i | \(0.163874\pi\) |
−0.978687 | + | 0.205355i | \(0.934165\pi\) | |||||||
\(422\) | 0.243439 | + | 2.62712i | 0.0118504 | + | 0.127886i | ||||
\(423\) | −10.7565 | + | 7.55296i | −0.522997 | + | 0.367238i | ||||
\(424\) | −0.590433 | − | 1.39495i | −0.0286740 | − | 0.0677449i | ||||
\(425\) | −30.5078 | − | 1.88166i | −1.47985 | − | 0.0912739i | ||||
\(426\) | −4.89556 | − | 3.47952i | −0.237191 | − | 0.168583i | ||||
\(427\) | 0.623385 | − | 6.72740i | 0.0301677 | − | 0.325562i | ||||
\(428\) | −15.9733 | − | 11.3073i | −0.772101 | − | 0.546559i | ||||
\(429\) | −25.9235 | − | 11.9866i | −1.25160 | − | 0.578719i | ||||
\(430\) | −5.47735 | + | 4.99326i | −0.264141 | + | 0.240797i | ||||
\(431\) | −6.05091 | − | 17.1712i | −0.291462 | − | 0.827110i | −0.993382 | − | 0.114854i | \(-0.963360\pi\) |
0.701920 | − | 0.712256i | \(-0.252326\pi\) | |||||||
\(432\) | 13.8602 | + | 12.7811i | 0.666850 | + | 0.614931i | ||||
\(433\) | −4.88515 | + | 0.604913i | −0.234765 | + | 0.0290702i | −0.239408 | − | 0.970919i | \(-0.576953\pi\) |
0.00464303 | + | 0.999989i | \(0.498522\pi\) | |||||||
\(434\) | −0.0589623 | − | 0.269230i | −0.00283028 | − | 0.0129235i | ||||
\(435\) | 10.0483 | + | 35.5735i | 0.481779 | + | 1.70562i | ||||
\(436\) | −7.60394 | + | 1.91247i | −0.364163 | + | 0.0915905i | ||||
\(437\) | −13.7601 | + | 7.38900i | −0.658233 | + | 0.353464i | ||||
\(438\) | 0.117766 | − | 1.24506i | 0.00562706 | − | 0.0594915i | ||||
\(439\) | −0.229775 | − | 7.45787i | −0.0109665 | − | 0.355945i | −0.989037 | − | 0.147669i | \(-0.952823\pi\) |
0.978070 | − | 0.208275i | \(-0.0667850\pi\) | |||||||
\(440\) | −3.17766 | − | 20.4708i | −0.151489 | − | 0.975908i | ||||
\(441\) | −16.6492 | + | 8.85885i | −0.792819 | + | 0.421850i | ||||
\(442\) | 0.650317 | + | 2.28563i | 0.0309324 | + | 0.108716i | ||||
\(443\) | 2.33672 | + | 1.65413i | 0.111021 | + | 0.0785901i | 0.631946 | − | 0.775012i | \(-0.282256\pi\) |
−0.520926 | + | 0.853602i | \(0.674413\pi\) | |||||||
\(444\) | 6.38044 | − | 8.41567i | 0.302802 | − | 0.399390i | ||||
\(445\) | 11.4377 | − | 7.08190i | 0.542197 | − | 0.335714i | ||||
\(446\) | 2.07361 | + | 5.88448i | 0.0981884 | + | 0.278638i | ||||
\(447\) | 32.6691 | − | 10.3243i | 1.54519 | − | 0.488321i | ||||
\(448\) | 5.51133 | − | 0.339927i | 0.260386 | − | 0.0160600i | ||||
\(449\) | −7.45710 | + | 9.87480i | −0.351923 | + | 0.466021i | −0.939203 | − | 0.343363i | \(-0.888434\pi\) |
0.587280 | + | 0.809384i | \(0.300199\pi\) | |||||||
\(450\) | 0.696474 | − | 7.21668i | 0.0328321 | − | 0.340197i | ||||
\(451\) | 23.2030 | + | 30.7257i | 1.09259 | + | 1.44682i | ||||
\(452\) | −5.99676 | + | 27.3820i | −0.282064 | + | 1.28794i | ||||
\(453\) | 0.309304 | − | 0.407966i | 0.0145324 | − | 0.0191679i | ||||
\(454\) | 0.168809 | − | 5.47910i | 0.00792261 | − | 0.257147i | ||||
\(455\) | −9.63610 | + | 1.19321i | −0.451747 | + | 0.0559384i | ||||
\(456\) | 4.62764 | + | 5.42228i | 0.216709 | + | 0.253922i | ||||
\(457\) | −5.86059 | + | 4.14863i | −0.274147 | + | 0.194065i | −0.706641 | − | 0.707572i | \(-0.749790\pi\) |
0.432494 | + | 0.901637i | \(0.357634\pi\) | |||||||
\(458\) | −2.13340 | − | 3.69515i | −0.0996870 | − | 0.172663i | ||||
\(459\) | −2.61475 | + | 16.2318i | −0.122046 | + | 0.757634i | ||||
\(460\) | −22.6327 | + | 16.0214i | −1.05526 | + | 0.747001i | ||||
\(461\) | 0.147738 | − | 0.195637i | 0.00688086 | − | 0.00911174i | −0.794564 | − | 0.607181i | \(-0.792300\pi\) |
0.801445 | + | 0.598069i | \(0.204065\pi\) | |||||||
\(462\) | 2.00641 | + | 0.127590i | 0.0933467 | + | 0.00593601i | ||||
\(463\) | 1.29907 | + | 0.503263i | 0.0603730 | + | 0.0233886i | 0.391239 | − | 0.920289i | \(-0.372047\pi\) |
−0.330866 | + | 0.943678i | \(0.607341\pi\) | |||||||
\(464\) | −18.8589 | − | 7.30596i | −0.875500 | − | 0.339171i | ||||
\(465\) | −4.79125 | + | 7.20088i | −0.222189 | + | 0.333933i | ||||
\(466\) | 1.19639 | − | 1.58428i | 0.0554218 | − | 0.0733903i | ||||
\(467\) | 34.6430 | − | 24.5232i | 1.60309 | − | 1.13480i | 0.692550 | − | 0.721370i | \(-0.256487\pi\) |
0.910536 | − | 0.413430i | \(-0.135669\pi\) | |||||||
\(468\) | 16.9379 | − | 4.19148i | 0.782956 | − | 0.193751i | ||||
\(469\) | 2.75618 | + | 4.77385i | 0.127269 | + | 0.220436i | ||||
\(470\) | −3.42525 | + | 2.42468i | −0.157995 | + | 0.111842i | ||||
\(471\) | 13.9271 | − | 39.2833i | 0.641728 | − | 1.81008i | ||||
\(472\) | 8.72366 | − | 1.08022i | 0.401539 | − | 0.0497213i | ||||
\(473\) | −1.30880 | + | 42.4803i | −0.0601789 | + | 1.95325i | ||||
\(474\) | −1.27469 | − | 3.02764i | −0.0585486 | − | 0.139064i | ||||
\(475\) | −8.63488 | + | 39.4281i | −0.396196 | + | 1.80908i | ||||
\(476\) | 3.12058 | + | 4.13231i | 0.143031 | + | 0.189404i | ||||
\(477\) | −3.75520 | − | 2.67980i | −0.171939 | − | 0.122699i | ||||
\(478\) | −4.03500 | + | 5.34321i | −0.184557 | + | 0.244393i | ||||
\(479\) | 28.8203 | − | 1.77758i | 1.31683 | − | 0.0812195i | 0.612150 | − | 0.790742i | \(-0.290305\pi\) |
0.704683 | + | 0.709522i | \(0.251089\pi\) | |||||||
\(480\) | 14.0794 | + | 12.8843i | 0.642635 | + | 0.588085i | ||||
\(481\) | −3.14010 | − | 8.91097i | −0.143176 | − | 0.406305i | ||||
\(482\) | −0.787680 | + | 0.487711i | −0.0358778 | + | 0.0222146i | ||||
\(483\) | −2.12220 | − | 5.04064i | −0.0965636 | − | 0.229357i | ||||
\(484\) | −30.3129 | − | 21.4581i | −1.37786 | − | 0.975366i | ||||
\(485\) | 10.7674 | + | 37.8435i | 0.488922 | + | 1.71838i | ||||
\(486\) | −3.82640 | − | 0.753080i | −0.173569 | − | 0.0341604i | ||||
\(487\) | 2.19553 | + | 14.1439i | 0.0994891 | + | 0.640919i | 0.984505 | + | 0.175358i | \(0.0561083\pi\) |
−0.885016 | + | 0.465561i | \(0.845852\pi\) | |||||||
\(488\) | 0.242618 | + | 7.87475i | 0.0109828 | + | 0.356473i | ||||
\(489\) | 13.0077 | − | 5.95447i | 0.588227 | − | 0.269270i | ||||
\(490\) | −5.30516 | + | 2.84881i | −0.239663 | + | 0.128696i | ||||
\(491\) | −30.7691 | + | 7.73873i | −1.38859 | + | 0.349244i | −0.864591 | − | 0.502476i | \(-0.832423\pi\) |
−0.523997 | + | 0.851720i | \(0.675560\pi\) | |||||||
\(492\) | −22.8013 | − | 5.78099i | −1.02796 | − | 0.260627i | ||||
\(493\) | −3.77302 | − | 17.2281i | −0.169928 | − | 0.775916i | ||||
\(494\) | 3.11421 | − | 0.385622i | 0.140115 | − | 0.0173500i | ||||
\(495\) | −40.8661 | − | 48.0687i | −1.83679 | − | 2.16053i | ||||
\(496\) | −1.57276 | − | 4.46316i | −0.0706189 | − | 0.200402i | ||||
\(497\) | −8.65278 | + | 7.88805i | −0.388130 | + | 0.353827i | ||||
\(498\) | −0.0452427 | − | 0.498586i | −0.00202737 | − | 0.0223422i | ||||
\(499\) | 28.5979 | + | 20.2440i | 1.28022 | + | 0.906247i | 0.998580 | − | 0.0532736i | \(-0.0169655\pi\) |
0.281638 | + | 0.959521i | \(0.409122\pi\) | |||||||
\(500\) | −3.18975 | + | 34.4229i | −0.142650 | + | 1.53944i | ||||
\(501\) | −3.77917 | + | 1.72997i | −0.168841 | + | 0.0772896i | ||||
\(502\) | 7.81122 | + | 0.481780i | 0.348632 | + | 0.0215029i | ||||
\(503\) | −4.55330 | − | 10.7576i | −0.203021 | − | 0.479657i | 0.787618 | − | 0.616164i | \(-0.211314\pi\) |
−0.990639 | + | 0.136507i | \(0.956412\pi\) | |||||||
\(504\) | −2.04289 | + | 1.43448i | −0.0909978 | + | 0.0638968i | ||||
\(505\) | −0.700403 | − | 7.55856i | −0.0311675 | − | 0.336351i | ||||
\(506\) | 0.787906 | − | 5.07578i | 0.0350267 | − | 0.225646i | ||||
\(507\) | −2.30783 | + | 6.50956i | −0.102495 | + | 0.289100i | ||||
\(508\) | 6.76578 | + | 13.5875i | 0.300183 | + | 0.602848i | ||||
\(509\) | −0.218556 | − | 7.09374i | −0.00968732 | − | 0.314425i | −0.991928 | − | 0.126801i | \(-0.959529\pi\) |
0.982241 | − | 0.187624i | \(-0.0600787\pi\) | |||||||
\(510\) | −0.815114 | + | 5.18583i | −0.0360938 | + | 0.229633i | ||||
\(511\) | −2.32329 | − | 0.739092i | −0.102776 | − | 0.0326955i | ||||
\(512\) | −17.2905 | + | 3.23215i | −0.764138 | + | 0.142842i | ||||
\(513\) | 20.6509 | + | 6.69979i | 0.911762 | + | 0.295803i | ||||
\(514\) | 3.90773 | 0.172363 | ||||||||
\(515\) | −37.4698 | + | 10.2968i | −1.65112 | + | 0.453730i | ||||
\(516\) | −15.6081 | − | 20.7505i | −0.687107 | − | 0.913491i | ||||
\(517\) | −3.69123 | + | 23.7793i | −0.162340 | + | 1.04581i | ||||
\(518\) | 0.432711 | + | 0.505062i | 0.0190122 | + | 0.0221911i | ||||
\(519\) | 9.48909 | + | 27.0927i | 0.416525 | + | 1.18924i | ||||
\(520\) | 10.9806 | − | 2.76173i | 0.481530 | − | 0.121110i | ||||
\(521\) | 23.4405 | + | 12.5873i | 1.02695 | + | 0.551459i | 0.897909 | − | 0.440181i | \(-0.145086\pi\) |
0.129038 | + | 0.991640i | \(0.458811\pi\) | |||||||
\(522\) | 4.11503 | − | 0.753013i | 0.180110 | − | 0.0329585i | ||||
\(523\) | 19.3627 | − | 38.8855i | 0.846672 | − | 1.70035i | 0.143116 | − | 0.989706i | \(-0.454288\pi\) |
0.703555 | − | 0.710640i | \(-0.251595\pi\) | |||||||
\(524\) | −0.491923 | + | 3.16902i | −0.0214898 | + | 0.138439i | ||||
\(525\) | −13.4606 | − | 4.31039i | −0.587468 | − | 0.188121i | ||||
\(526\) | −3.05562 | + | 1.18375i | −0.133231 | + | 0.0516141i | ||||
\(527\) | 2.48683 | − | 3.29309i | 0.108328 | − | 0.143449i | ||||
\(528\) | 34.4576 | − | 2.05937i | 1.49958 | − | 0.0896224i | ||||
\(529\) | 8.60195 | − | 2.73648i | 0.373998 | − | 0.118977i | ||||
\(530\) | −1.20226 | − | 0.851064i | −0.0522230 | − | 0.0369679i | ||||
\(531\) | 20.9210 | − | 16.7041i | 0.907894 | − | 0.724896i | ||||
\(532\) | 6.02428 | − | 3.23497i | 0.261186 | − | 0.140254i | ||||
\(533\) | −15.5517 | + | 14.1772i | −0.673619 | + | 0.614085i | ||||
\(534\) | −0.676007 | − | 1.36411i | −0.0292537 | − | 0.0590310i | ||||
\(535\) | −38.6034 | − | 2.38097i | −1.66897 | − | 0.102938i | ||||
\(536\) | −3.87375 | − | 5.12967i | −0.167320 | − | 0.221568i | ||||
\(537\) | 34.6354 | + | 6.54280i | 1.49463 | + | 0.282343i | ||||
\(538\) | −5.48752 | + | 4.41579i | −0.236584 | + | 0.190378i | ||||
\(539\) | −9.44943 | + | 33.2113i | −0.407016 | + | 1.43051i | ||||
\(540\) | 37.8482 | + | 7.29924i | 1.62873 | + | 0.314109i | ||||
\(541\) | 8.78294 | − | 40.1041i | 0.377608 | − | 1.72421i | −0.270551 | − | 0.962706i | \(-0.587206\pi\) |
0.648159 | − | 0.761505i | \(-0.275539\pi\) | |||||||
\(542\) | 0.0453834 | + | 1.47302i | 0.00194938 | + | 0.0632718i | ||||
\(543\) | −20.7912 | + | 21.3601i | −0.892236 | + | 0.916648i | ||||
\(544\) | −6.33868 | − | 6.53698i | −0.271769 | − | 0.280271i | ||||
\(545\) | −10.7870 | + | 11.1244i | −0.462063 | + | 0.476518i | ||||
\(546\) | 0.0317458 | + | 1.09838i | 0.00135860 | + | 0.0470064i | ||||
\(547\) | −4.70015 | + | 4.84719i | −0.200964 | + | 0.207251i | −0.810876 | − | 0.585218i | \(-0.801009\pi\) |
0.609912 | + | 0.792469i | \(0.291205\pi\) | |||||||
\(548\) | −0.814397 | − | 26.4332i | −0.0347893 | − | 1.12917i | ||||
\(549\) | 13.1774 | + | 20.0523i | 0.562399 | + | 0.855811i | ||||
\(550\) | −8.63653 | − | 10.0806i | −0.368263 | − | 0.429838i | ||||
\(551\) | −23.2450 | + | 1.43370i | −0.990269 | + | 0.0610777i | ||||
\(552\) | 3.17829 | + | 5.52927i | 0.135277 | + | 0.235341i | ||||
\(553\) | −6.29496 | + | 1.17673i | −0.267689 | + | 0.0500398i | ||||
\(554\) | 0.265697 | − | 0.627734i | 0.0112884 | − | 0.0266699i | ||||
\(555\) | 1.96537 | − | 20.7786i | 0.0834252 | − | 0.882004i | ||||
\(556\) | −11.3620 | − | 39.9332i | −0.481855 | − | 1.69354i | ||||
\(557\) | 25.5285 | + | 15.8066i | 1.08168 | + | 0.669746i | 0.947029 | − | 0.321148i | \(-0.104069\pi\) |
0.134647 | + | 0.990894i | \(0.457010\pi\) | |||||||
\(558\) | 0.760241 | + | 0.616552i | 0.0321836 | + | 0.0261007i | ||||
\(559\) | −23.1851 | + | 1.43001i | −0.980623 | + | 0.0604828i | ||||
\(560\) | 9.57840 | − | 6.78041i | 0.404761 | − | 0.286524i | ||||
\(561\) | 18.0945 | + | 24.0562i | 0.763951 | + | 1.01565i | ||||
\(562\) | 5.23451 | 0.220804 | ||||||||
\(563\) | 7.63493 | + | 3.51263i | 0.321774 | + | 0.148040i | 0.572241 | − | 0.820086i | \(-0.306074\pi\) |
−0.250467 | + | 0.968125i | \(0.580584\pi\) | |||||||
\(564\) | −7.32660 | − | 12.7461i | −0.308505 | − | 0.536706i | ||||
\(565\) | 18.4115 | + | 52.2480i | 0.774577 | + | 2.19809i | ||||
\(566\) | −1.66720 | + | 1.34159i | −0.0700775 | + | 0.0563911i | ||||
\(567\) | −3.01661 | + | 6.97836i | −0.126686 | + | 0.293064i | ||||
\(568\) | 8.88323 | − | 10.3686i | 0.372732 | − | 0.435055i | ||||
\(569\) | 1.10671 | − | 1.46552i | 0.0463956 | − | 0.0614377i | −0.774228 | − | 0.632907i | \(-0.781862\pi\) |
0.820624 | + | 0.571469i | \(0.193626\pi\) | |||||||
\(570\) | 6.60181 | + | 2.11405i | 0.276519 | + | 0.0885478i | ||||
\(571\) | 11.5598 | 0.483764 | 0.241882 | − | 0.970306i | \(-0.422235\pi\) | ||||
0.241882 | + | 0.970306i | \(0.422235\pi\) | |||||||
\(572\) | 15.9735 | − | 27.6668i | 0.667884 | − | 1.15681i | ||||
\(573\) | 2.88987 | + | 0.925400i | 0.120726 | + | 0.0386592i | ||||
\(574\) | 0.660294 | − | 1.32605i | 0.0275601 | − | 0.0553482i | ||||
\(575\) | −14.0755 | + | 33.2547i | −0.586990 | + | 1.38682i | ||||
\(576\) | −14.5426 | + | 13.1562i | −0.605943 | + | 0.548176i | ||||
\(577\) | −13.0960 | + | 13.5057i | −0.545195 | + | 0.562251i | −0.933178 | − | 0.359415i | \(-0.882976\pi\) |
0.387982 | + | 0.921667i | \(0.373172\pi\) | |||||||
\(578\) | −0.374033 | + | 1.70789i | −0.0155577 | + | 0.0710387i | ||||
\(579\) | −16.8729 | + | 4.20954i | −0.701216 | + | 0.174943i | ||||
\(580\) | −40.6443 | + | 7.59773i | −1.68766 | + | 0.315479i | ||||
\(581\) | −0.968563 | − | 0.119934i | −0.0401828 | − | 0.00497570i | ||||
\(582\) | 4.37844 | − | 0.809841i | 0.181492 | − | 0.0335690i | ||||
\(583\) | −8.30270 | + | 1.55204i | −0.343863 | + | 0.0642791i | ||||
\(584\) | 2.79459 | + | 0.522399i | 0.115641 | + | 0.0216170i | ||||
\(585\) | 24.0995 | − | 24.6646i | 0.996392 | − | 1.01976i | ||||
\(586\) | 7.96412 | + | 2.00306i | 0.328995 | + | 0.0827455i | ||||
\(587\) | −16.6092 | − | 11.7574i | −0.685536 | − | 0.485281i | 0.181587 | − | 0.983375i | \(-0.441877\pi\) |
−0.867123 | + | 0.498094i | \(0.834033\pi\) | |||||||
\(588\) | −8.18567 | − | 19.4425i | −0.337571 | − | 0.801797i | ||||
\(589\) | −3.79339 | − | 3.91206i | −0.156304 | − | 0.161194i | ||||
\(590\) | 6.65956 | − | 5.35893i | 0.274170 | − | 0.220623i | ||||
\(591\) | 33.5269 | + | 13.0619i | 1.37911 | + | 0.537296i | ||||
\(592\) | 8.43887 | + | 7.69304i | 0.346835 | + | 0.316182i | ||||
\(593\) | 1.04167 | − | 33.8098i | 0.0427762 | − | 1.38840i | −0.697734 | − | 0.716357i | \(-0.745808\pi\) |
0.740510 | − | 0.672045i | \(-0.234584\pi\) | |||||||
\(594\) | −5.85123 | + | 4.09199i | −0.240079 | + | 0.167896i | ||||
\(595\) | 9.54257 | + | 3.69681i | 0.391207 | + | 0.151555i | ||||
\(596\) | 8.19875 | + | 37.4366i | 0.335834 | + | 1.53346i | ||||
\(597\) | −27.9297 | − | 28.9135i | −1.14309 | − | 1.18335i | ||||
\(598\) | 2.80212 | + | 0.172829i | 0.114587 | + | 0.00706750i | ||||
\(599\) | 16.5643 | − | 19.3340i | 0.676800 | − | 0.789965i | −0.310202 | − | 0.950671i | \(-0.600397\pi\) |
0.987002 | + | 0.160706i | \(0.0513771\pi\) | |||||||
\(600\) | 16.1952 | + | 3.05936i | 0.661167 | + | 0.124898i | ||||
\(601\) | −0.580852 | + | 18.8529i | −0.0236934 | + | 0.769026i | 0.910759 | + | 0.412938i | \(0.135497\pi\) |
−0.934453 | + | 0.356088i | \(0.884110\pi\) | |||||||
\(602\) | 1.48549 | − | 0.683434i | 0.0605441 | − | 0.0278547i | ||||
\(603\) | −18.2280 | − | 7.14157i | −0.742301 | − | 0.290827i | ||||
\(604\) | 0.423204 | + | 0.385801i | 0.0172199 | + | 0.0156980i | ||||
\(605\) | −73.2583 | − | 4.51842i | −2.97837 | − | 0.183700i | ||||
\(606\) | −0.859061 | − | 0.00163707i | −0.0348970 | − | 6.65014e-5i | ||||
\(607\) | −16.3006 | + | 6.31490i | −0.661622 | + | 0.256314i | −0.668556 | − | 0.743662i | \(-0.733087\pi\) |
0.00693334 | + | 0.999976i | \(0.497793\pi\) | |||||||
\(608\) | −9.81395 | + | 6.94715i | −0.398008 | + | 0.281744i | ||||
\(609\) | 0.266674 | − | 8.15088i | 0.0108062 | − | 0.330290i | ||||
\(610\) | 4.23184 | + | 6.38648i | 0.171342 | + | 0.258581i | ||||
\(611\) | −13.1276 | − | 0.809680i | −0.531084 | − | 0.0327562i | ||||
\(612\) | −17.8177 | − | 4.55360i | −0.720238 | − | 0.184069i | ||||
\(613\) | 8.12774 | + | 8.38201i | 0.328276 | + | 0.338546i | 0.861809 | − | 0.507233i | \(-0.169332\pi\) |
−0.533532 | + | 0.845780i | \(0.679136\pi\) | |||||||
\(614\) | −2.74876 | − | 0.874443i | −0.110931 | − | 0.0352896i | ||||
\(615\) | −44.3268 | + | 14.0084i | −1.78743 | + | 0.564873i | ||||
\(616\) | −0.701049 | + | 4.51623i | −0.0282461 | + | 0.181964i | ||||
\(617\) | 11.5151 | + | 19.9448i | 0.463582 | + | 0.802948i | 0.999136 | − | 0.0415528i | \(-0.0132305\pi\) |
−0.535554 | + | 0.844501i | \(0.679897\pi\) | |||||||
\(618\) | 0.760800 | + | 4.33132i | 0.0306039 | + | 0.174231i | ||||
\(619\) | 13.0189 | − | 22.5495i | 0.523275 | − | 0.906339i | −0.476358 | − | 0.879252i | \(-0.658043\pi\) |
0.999633 | − | 0.0270878i | \(-0.00862337\pi\) | |||||||
\(620\) | −7.53738 | − | 6.06531i | −0.302709 | − | 0.243589i | ||||
\(621\) | 17.0597 | + | 9.28689i | 0.684581 | + | 0.372670i | ||||
\(622\) | −1.14473 | − | 5.22698i | −0.0458993 | − | 0.209583i | ||||
\(623\) | −2.87826 | + | 0.723910i | −0.115315 | + | 0.0290029i | ||||
\(624\) | 2.85848 | + | 18.6490i | 0.114431 | + | 0.746558i | ||||
\(625\) | 8.92344 | + | 17.9207i | 0.356937 | + | 0.716827i | ||||
\(626\) | −5.35887 | + | 0.330524i | −0.214183 | + | 0.0132104i | ||||
\(627\) | 35.0557 | − | 18.7386i | 1.39999 | − | 0.748346i | ||||
\(628\) | 42.3534 | + | 19.4856i | 1.69008 | + | 0.777562i | ||||
\(629\) | −1.52745 | + | 9.84002i | −0.0609036 | + | 0.392347i | ||||
\(630\) | −0.954685 | + | 2.23180i | −0.0380356 | + | 0.0889169i | ||||
\(631\) | −0.178710 | − | 0.358899i | −0.00711435 | − | 0.0142875i | 0.891578 | − | 0.452868i | \(-0.149599\pi\) |
−0.898692 | + | 0.438580i | \(0.855481\pi\) | |||||||
\(632\) | 7.11635 | − | 2.26387i | 0.283073 | − | 0.0900520i | ||||
\(633\) | −15.5489 | + | 9.58651i | −0.618012 | + | 0.381029i | ||||
\(634\) | −1.54932 | − | 1.09674i | −0.0615313 | − | 0.0435571i | ||||
\(635\) | 25.5045 | + | 15.7917i | 1.01211 | + | 0.626674i | ||||
\(636\) | 3.36486 | − | 3.91237i | 0.133425 | − | 0.155135i | ||||
\(637\) | −18.5511 | − | 3.46780i | −0.735022 | − | 0.137399i | ||||
\(638\) | 4.23072 | − | 6.38480i | 0.167496 | − | 0.252777i | ||||
\(639\) | 6.53504 | − | 41.0662i | 0.258522 | − | 1.62455i | ||||
\(640\) | −20.9132 | + | 19.0649i | −0.826665 | + | 0.753605i | ||||
\(641\) | 19.1773 | − | 15.4319i | 0.757459 | − | 0.609525i | −0.169133 | − | 0.985593i | \(-0.554097\pi\) |
0.926592 | + | 0.376068i | \(0.122724\pi\) | |||||||
\(642\) | −0.679640 | + | 4.32394i | −0.0268233 | + | 0.170652i | ||||
\(643\) | 29.5618 | − | 15.8744i | 1.16581 | − | 0.626024i | 0.228162 | − | 0.973623i | \(-0.426728\pi\) |
0.937643 | + | 0.347599i | \(0.113003\pi\) | |||||||
\(644\) | 5.82975 | − | 1.85458i | 0.229724 | − | 0.0730805i | ||||
\(645\) | −47.8141 | − | 18.6281i | −1.88268 | − | 0.733483i | ||||
\(646\) | −3.08398 | − | 1.19474i | −0.121338 | − | 0.0470065i | ||||
\(647\) | 20.2063 | − | 5.08208i | 0.794390 | − | 0.199797i | 0.174677 | − | 0.984626i | \(-0.444112\pi\) |
0.619713 | + | 0.784828i | \(0.287249\pi\) | |||||||
\(648\) | 2.49103 | − | 8.50813i | 0.0978569 | − | 0.334231i | ||||
\(649\) | 4.52261 | − | 48.8067i | 0.177528 | − | 1.91583i | ||||
\(650\) | 5.05062 | − | 5.20862i | 0.198102 | − | 0.204299i | ||||
\(651\) | 1.48890 | − | 1.19344i | 0.0583544 | − | 0.0467747i | ||||
\(652\) | 5.31832 | + | 15.0923i | 0.208282 | + | 0.591060i | ||||
\(653\) | 5.34543 | − | 15.1692i | 0.209183 | − | 0.593618i | −0.790643 | − | 0.612277i | \(-0.790254\pi\) |
0.999826 | + | 0.0186595i | \(0.00593985\pi\) | |||||||
\(654\) | 1.13840 | + | 1.33388i | 0.0445149 | + | 0.0521589i | ||||
\(655\) | 2.47042 | + | 5.83659i | 0.0965272 | + | 0.228055i | ||||
\(656\) | 8.45323 | − | 23.9885i | 0.330043 | − | 0.936594i | ||||
\(657\) | 8.08575 | − | 3.09705i | 0.315455 | − | 0.120827i | ||||
\(658\) | 0.882275 | − | 0.280672i | 0.0343947 | − | 0.0109417i | ||||
\(659\) | −1.80235 | − | 6.33459i | −0.0702095 | − | 0.246761i | 0.918775 | − | 0.394782i | \(-0.129180\pi\) |
−0.988984 | + | 0.148022i | \(0.952709\pi\) | |||||||
\(660\) | 57.6790 | − | 40.6653i | 2.24515 | − | 1.58290i | ||||
\(661\) | 14.6663 | − | 1.81609i | 0.570455 | − | 0.0706376i | 0.167524 | − | 0.985868i | \(-0.446423\pi\) |
0.402931 | + | 0.915230i | \(0.367992\pi\) | |||||||
\(662\) | −0.0830944 | − | 0.125402i | −0.00322955 | − | 0.00487389i | ||||
\(663\) | −12.1796 | + | 11.0607i | −0.473016 | + | 0.429564i | ||||
\(664\) | 1.13808 | 0.0441659 | ||||||||
\(665\) | 6.75682 | − | 11.7031i | 0.262018 | − | 0.453829i | ||||
\(666\) | −2.32012 | − | 0.442863i | −0.0899026 | − | 0.0171606i | ||||
\(667\) | −20.6780 | − | 2.56050i | −0.800657 | − | 0.0991428i | ||||
\(668\) | −1.54515 | − | 4.38483i | −0.0597838 | − | 0.169654i | ||||
\(669\) | −30.1294 | + | 30.9538i | −1.16487 | + | 1.19674i | ||||
\(670\) | −5.82872 | − | 2.25806i | −0.225183 | − | 0.0872363i | ||||
\(671\) | 43.1834 | + | 8.07238i | 1.66708 | + | 0.311631i | ||||
\(672\) | −2.09829 | − | 3.65039i | −0.0809433 | − | 0.140817i | ||||
\(673\) | 3.55701 | + | 38.3863i | 0.137113 | + | 1.47968i | 0.734980 | + | 0.678088i | \(0.237191\pi\) |
−0.597868 | + | 0.801595i | \(0.703985\pi\) | |||||||
\(674\) | −3.66823 | + | 6.35357i | −0.141295 | + | 0.244730i | ||||
\(675\) | 46.9095 | − | 17.8651i | 1.80555 | − | 0.687627i | ||||
\(676\) | −7.01829 | − | 3.22893i | −0.269934 | − | 0.124189i | ||||
\(677\) | 1.50433 | − | 3.02110i | 0.0578161 | − | 0.116110i | −0.864371 | − | 0.502855i | \(-0.832283\pi\) |
0.922187 | + | 0.386745i | \(0.126401\pi\) | |||||||
\(678\) | 6.08282 | − | 1.51757i | 0.233609 | − | 0.0582820i | ||||
\(679\) | 0.267311 | − | 8.67620i | 0.0102584 | − | 0.332962i | ||||
\(680\) | −11.5731 | − | 2.91075i | −0.443808 | − | 0.111622i | ||||
\(681\) | 34.5083 | − | 15.7967i | 1.32236 | − | 0.605333i | ||||
\(682\) | 1.77854 | − | 0.220231i | 0.0681039 | − | 0.00843309i | ||||
\(683\) | 10.8348 | − | 30.7470i | 0.414582 | − | 1.17650i | −0.529935 | − | 0.848038i | \(-0.677784\pi\) |
0.944517 | − | 0.328461i | \(-0.106530\pi\) | |||||||
\(684\) | −9.55100 | + | 22.3277i | −0.365192 | + | 0.853720i | ||||
\(685\) | −28.8689 | − | 43.5675i | −1.10302 | − | 1.66463i | ||||
\(686\) | 2.75996 | − | 0.515925i | 0.105376 | − | 0.0196981i | ||||
\(687\) | 16.3642 | − | 24.5941i | 0.624333 | − | 0.938325i | ||||
\(688\) | 23.8701 | − | 14.7798i | 0.910040 | − | 0.563473i | ||||
\(689\) | −1.26338 | − | 4.44030i | −0.0481308 | − | 0.169162i | ||||
\(690\) | 5.45830 | + | 2.94446i | 0.207794 | + | 0.112094i | ||||
\(691\) | −4.71586 | − | 1.18609i | −0.179400 | − | 0.0451208i | 0.153168 | − | 0.988200i | \(-0.451052\pi\) |
−0.332568 | + | 0.943079i | \(0.607915\pi\) | |||||||
\(692\) | −31.1402 | + | 7.83207i | −1.18377 | + | 0.297731i | ||||
\(693\) | 5.37665 | + | 12.8389i | 0.204242 | + | 0.487711i | ||||
\(694\) | −0.718834 | + | 0.445083i | −0.0272866 | + | 0.0168951i | ||||
\(695\) | −60.6368 | − | 55.2777i | −2.30008 | − | 2.09680i | ||||
\(696\) | 0.859416 | + | 9.47099i | 0.0325761 | + | 0.358997i | ||||
\(697\) | 21.5096 | − | 5.40989i | 0.814736 | − | 0.204914i | ||||
\(698\) | −1.07331 | − | 6.91441i | −0.0406255 | − | 0.261714i | ||||
\(699\) | 13.5060 | + | 2.55135i | 0.510843 | + | 0.0965010i | ||||
\(700\) | 6.16239 | − | 14.5592i | 0.232917 | − | 0.550287i | ||||
\(701\) | −9.34492 | + | 14.1029i | −0.352953 | + | 0.532659i | −0.966389 | − | 0.257085i | \(-0.917238\pi\) |
0.613436 | + | 0.789744i | \(0.289787\pi\) | |||||||
\(702\) | −2.52206 | − | 2.97806i | −0.0951891 | − | 0.112399i | ||||
\(703\) | 12.5307 | + | 3.98630i | 0.472604 | + | 0.150346i | ||||
\(704\) | −1.10569 | + | 35.8878i | −0.0416723 | + | 1.35257i | ||||
\(705\) | −25.5714 | − | 13.7944i | −0.963074 | − | 0.519527i | ||||
\(706\) | 0.211466 | − | 2.28208i | 0.00795863 | − | 0.0858873i | ||||
\(707\) | −0.358273 | + | 1.63593i | −0.0134742 | + | 0.0615253i | ||||
\(708\) | 16.4934 | + | 24.9943i | 0.619859 | + | 0.939344i | ||||
\(709\) | −22.1325 | − | 2.74060i | −0.831203 | − | 0.102925i | −0.304008 | − | 0.952669i | \(-0.598325\pi\) |
−0.527195 | + | 0.849744i | \(0.676756\pi\) | |||||||
\(710\) | 2.03660 | − | 13.1200i | 0.0764324 | − | 0.492386i | ||||
\(711\) | 14.8632 | − | 17.2152i | 0.557413 | − | 0.645619i | ||||
\(712\) | 3.22718 | − | 1.25022i | 0.120944 | − | 0.0468539i | ||||
\(713\) | −2.69290 | − | 4.06399i | −0.100850 | − | 0.152198i | ||||
\(714\) | 0.518200 | − | 1.03573i | 0.0193931 | − | 0.0387614i | ||||
\(715\) | −1.94428 | − | 63.1061i | −0.0727119 | − | 2.36003i | ||||
\(716\) | −10.7898 | + | 37.9220i | −0.403232 | + | 1.41721i | ||||
\(717\) | −45.5509 | − | 8.60480i | −1.70113 | − | 0.321352i | ||||
\(718\) | 0.180612 | − | 0.512540i | 0.00674038 | − | 0.0191278i | ||||
\(719\) | 23.4936 | + | 18.9052i | 0.876164 | + | 0.705046i | 0.956503 | − | 0.291721i | \(-0.0942280\pi\) |
−0.0803397 | + | 0.996768i | \(0.525601\pi\) | |||||||
\(720\) | −11.5584 | + | 40.0432i | −0.430757 | + | 1.49232i | ||||
\(721\) | 8.56616 | + | 0.341259i | 0.319020 | + | 0.0127091i | ||||
\(722\) | 0.192963 | − | 0.334222i | 0.00718134 | − | 0.0124384i | ||||
\(723\) | −5.44700 | − | 3.38701i | −0.202576 | − | 0.125964i | ||||
\(724\) | −21.6932 | − | 25.3204i | −0.806221 | − | 0.941025i | ||||
\(725\) | −39.7927 | + | 36.2758i | −1.47786 | + | 1.34725i | ||||
\(726\) | −1.28977 | + | 8.20561i | −0.0478677 | + | 0.304539i | ||||
\(727\) | −1.42766 | + | 0.883971i | −0.0529491 | + | 0.0327847i | −0.552651 | − | 0.833413i | \(-0.686384\pi\) |
0.499702 | + | 0.866197i | \(0.333443\pi\) | |||||||
\(728\) | −2.49322 | − | 0.153777i | −0.0924050 | − | 0.00569934i | ||||
\(729\) | −7.09149 | − | 26.0521i | −0.262648 | − | 0.964892i | ||||
\(730\) | 2.57794 | − | 0.998698i | 0.0954137 | − | 0.0369635i | ||||
\(731\) | 22.2415 | + | 10.2327i | 0.822633 | + | 0.378471i | ||||
\(732\) | −23.6701 | + | 12.6525i | −0.874872 | + | 0.467651i | ||||
\(733\) | 30.1943 | − | 39.9837i | 1.11525 | − | 1.47683i | 0.255015 | − | 0.966937i | \(-0.417920\pi\) |
0.860237 | − | 0.509895i | \(-0.170316\pi\) | |||||||
\(734\) | −0.0413209 | + | 0.0623595i | −0.00152518 | + | 0.00230173i | ||||
\(735\) | −33.9817 | − | 24.1525i | −1.25343 | − | 0.890878i | ||||
\(736\) | −9.77275 | + | 4.49618i | −0.360228 | + | 0.165731i | ||||
\(737\) | −32.5625 | + | 14.9811i | −1.19946 | + | 0.551838i | ||||
\(738\) | 1.10590 | + | 5.14343i | 0.0407088 | + | 0.189332i | ||||
\(739\) | −19.7728 | − | 6.29017i | −0.727353 | − | 0.231388i | −0.0834686 | − | 0.996510i | \(-0.526600\pi\) |
−0.643884 | + | 0.765123i | \(0.722678\pi\) | |||||||
\(740\) | 22.9485 | + | 4.28982i | 0.843604 | + | 0.157697i | ||||
\(741\) | 11.9659 | + | 18.1334i | 0.439580 | + | 0.666146i | ||||
\(742\) | 0.195839 | + | 0.259333i | 0.00718948 | + | 0.00952041i | ||||
\(743\) | 5.24408 | + | 1.66826i | 0.192387 | + | 0.0612026i | 0.397798 | − | 0.917473i | \(-0.369775\pi\) |
−0.205411 | + | 0.978676i | \(0.565853\pi\) | |||||||
\(744\) | −1.55203 | + | 1.59450i | −0.0569003 | + | 0.0584571i | ||||
\(745\) | 52.7243 | + | 54.3738i | 1.93167 | + | 1.99210i | ||||
\(746\) | 0.128674 | − | 4.17642i | 0.00471109 | − | 0.152910i | ||||
\(747\) | 2.95387 | − | 1.81342i | 0.108077 | − | 0.0663497i | ||||
\(748\) | −28.6275 | + | 17.7254i | −1.04672 | + | 0.648104i | ||||
\(749\) | 7.95658 | + | 3.08240i | 0.290727 | + | 0.112628i | ||||
\(750\) | 7.21503 | − | 2.77932i | 0.263456 | − | 0.101486i | ||||
\(751\) | −7.86503 | + | 8.11109i | −0.286999 | + | 0.295978i | −0.845993 | − | 0.533194i | \(-0.820992\pi\) |
0.558994 | + | 0.829172i | \(0.311188\pi\) | |||||||
\(752\) | 14.4414 | − | 6.64410i | 0.526624 | − | 0.242285i | ||||
\(753\) | 21.0247 | + | 49.9377i | 0.766182 | + | 1.81983i | ||||
\(754\) | 3.68815 | + | 1.98050i | 0.134315 | + | 0.0721254i | ||||
\(755\) | 1.11248 | + | 0.207958i | 0.0404871 | + | 0.00756835i | ||||
\(756\) | −7.46888 | − | 4.06589i | −0.271641 | − | 0.147875i | ||||
\(757\) | 12.5669 | + | 18.9654i | 0.456752 | + | 0.689308i | 0.987393 | − | 0.158289i | \(-0.0505977\pi\) |
−0.530641 | + | 0.847597i | \(0.678049\pi\) | |||||||
\(758\) | −2.00571 | − | 4.73869i | −0.0728508 | − | 0.172117i | ||||
\(759\) | 33.9096 | − | 10.7163i | 1.23084 | − | 0.388977i | ||||
\(760\) | −6.14239 | + | 14.5120i | −0.222808 | + | 0.526404i | ||||
\(761\) | 6.68238 | + | 6.09180i | 0.242236 | + | 0.220828i | 0.785704 | − | 0.618602i | \(-0.212301\pi\) |
−0.543468 | + | 0.839430i | \(0.682889\pi\) | |||||||
\(762\) | 2.05099 | − | 2.70522i | 0.0742996 | − | 0.0979996i | ||||
\(763\) | 3.01182 | − | 1.61731i | 0.109035 | − | 0.0585507i | ||||
\(764\) | −1.32301 | + | 3.12573i | −0.0478648 | + | 0.113085i | ||||
\(765\) | −34.6760 | + | 10.8859i | −1.25371 | + | 0.393579i | ||||
\(766\) | −3.91430 | − | 1.80087i | −0.141430 | − | 0.0650679i | ||||
\(767\) | 26.7901 | 0.967335 | ||||||||
\(768\) | −11.6867 | − | 15.5371i | −0.421707 | − | 0.560648i | ||||
\(769\) | −46.8595 | − | 21.5588i | −1.68980 | − | 0.777430i | −0.998494 | − | 0.0548637i | \(-0.982528\pi\) |
−0.691302 | − | 0.722566i | \(-0.742963\pi\) | |||||||
\(770\) | 1.73234 | + | 4.09281i | 0.0624291 | + | 0.147495i | ||||
\(771\) | 12.0132 | + | 24.2415i | 0.432645 | + | 0.873035i | ||||
\(772\) | −2.98378 | − | 19.2218i | −0.107388 | − | 0.691808i | ||||
\(773\) | 41.8150 | − | 33.6484i | 1.50398 | − | 1.21025i | 0.588110 | − | 0.808781i | \(-0.299872\pi\) |
0.915873 | − | 0.401469i | \(-0.131500\pi\) | |||||||
\(774\) | −2.60831 | + | 5.18854i | −0.0937538 | + | 0.186498i | ||||
\(775\) | −12.5034 | − | 1.54826i | −0.449137 | − | 0.0556152i | ||||
\(776\) | 0.933958 | + | 10.0790i | 0.0335271 | + | 0.361815i | ||||
\(777\) | −1.80289 | + | 4.23697i | −0.0646782 | + | 0.152001i | ||||
\(778\) | −4.79180 | + | 8.29965i | −0.171795 | + | 0.297557i | ||||
\(779\) | −2.70239 | − | 29.1634i | −0.0968231 | − | 1.04489i | ||||
\(780\) | 25.0400 | + | 29.3398i | 0.896577 | + | 1.05053i | ||||
\(781\) | −45.8809 | − | 60.7561i | −1.64175 | − | 2.17402i | ||||
\(782\) | −2.51574 | − | 1.55768i | −0.0899626 | − | 0.0557025i | ||||
\(783\) | 17.3218 | + | 23.2125i | 0.619030 | + | 0.829548i | ||||
\(784\) | 21.7364 | − | 6.91484i | 0.776299 | − | 0.246958i | ||||
\(785\) | 91.4374 | − | 11.3224i | 3.26354 | − | 0.404114i | ||||
\(786\) | 0.683916 | − | 0.216135i | 0.0243945 | − | 0.00770928i | ||||
\(787\) | 34.5553 | + | 4.27888i | 1.23176 | + | 0.152526i | 0.712244 | − | 0.701932i | \(-0.247679\pi\) |
0.519521 | + | 0.854458i | \(0.326110\pi\) | |||||||
\(788\) | −17.9399 | + | 36.0282i | −0.639083 | + | 1.28345i | ||||
\(789\) | −16.7370 | − | 15.3163i | −0.595853 | − | 0.545274i | ||||
\(790\) | 4.72473 | − | 5.51473i | 0.168098 | − | 0.196205i | ||||
\(791\) | −0.376365 | − | 12.2158i | −0.0133820 | − | 0.434344i | ||||
\(792\) | −8.06207 | − | 14.0876i | −0.286473 | − | 0.500582i | ||||
\(793\) | −2.21548 | + | 23.9088i | −0.0786739 | + | 0.849027i | ||||
\(794\) | −4.29283 | − | 1.07969i | −0.152347 | − | 0.0383168i | ||||
\(795\) | 1.58353 | − | 10.0746i | 0.0561619 | − | 0.357308i | ||||
\(796\) | 35.0326 | − | 28.1907i | 1.24170 | − | 0.999191i | ||||
\(797\) | 6.59648 | + | 3.54224i | 0.233659 | + | 0.125472i | 0.585745 | − | 0.810495i | \(-0.300802\pi\) |
−0.352086 | + | 0.935968i | \(0.614527\pi\) | |||||||
\(798\) | −1.24655 | − | 0.885985i | −0.0441274 | − | 0.0313635i | ||||
\(799\) | 11.7859 | + | 7.29752i | 0.416955 | + | 0.258168i | ||||
\(800\) | −7.60790 | + | 26.7390i | −0.268980 | + | 0.945366i | ||||
\(801\) | 6.38403 | − | 8.38717i | 0.225569 | − | 0.296346i | ||||
\(802\) | −3.95709 | + | 3.60736i | −0.139730 | + | 0.127380i | ||||
\(803\) | 6.17924 | − | 14.5990i | 0.218061 | − | 0.515189i | ||||
\(804\) | 9.79822 | − | 19.5839i | 0.345557 | − | 0.690670i | ||||
\(805\) | 7.86608 | − | 9.18132i | 0.277243 | − | 0.323599i | ||||
\(806\) | 0.209549 | + | 0.956829i | 0.00738104 | + | 0.0337029i | ||||
\(807\) | −44.2630 | − | 20.4665i | −1.55813 | − | 0.720455i | ||||
\(808\) | 0.180189 | − | 1.94455i | 0.00633903 | − | 0.0684090i | ||||
\(809\) | 32.2730 | + | 22.8456i | 1.13466 | + | 0.803208i | 0.982705 | − | 0.185180i | \(-0.0592869\pi\) |
0.151953 | + | 0.988388i | \(0.451444\pi\) | |||||||
\(810\) | −2.29595 | − | 8.30956i | −0.0806715 | − | 0.291968i | ||||
\(811\) | −12.7870 | − | 25.6799i | −0.449014 | − | 0.901742i | −0.997833 | − | 0.0658004i | \(-0.979040\pi\) |
0.548819 | − | 0.835941i | \(-0.315078\pi\) | |||||||
\(812\) | 9.05304 | + | 1.12101i | 0.317699 | + | 0.0393397i | ||||
\(813\) | −8.99833 | + | 4.80993i | −0.315585 | + | 0.168692i | ||||
\(814\) | −3.52970 | + | 2.49863i | −0.123716 | + | 0.0875768i | ||||
\(815\) | 24.6379 | + | 19.8261i | 0.863028 | + | 0.694476i | ||||
\(816\) | 6.64455 | − | 18.7419i | 0.232606 | − | 0.656096i | ||||
\(817\) | 17.8577 | − | 26.9500i | 0.624762 | − | 0.942860i | ||||
\(818\) | 2.05496 | + | 1.10349i | 0.0718501 | + | 0.0385827i | ||||
\(819\) | −6.71618 | + | 3.57360i | −0.234682 | + | 0.124872i | ||||
\(820\) | −11.1244 | − | 50.7956i | −0.388481 | − | 1.77386i | ||||
\(821\) | −6.96927 | + | 19.7773i | −0.243229 | + | 0.690234i | 0.756129 | + | 0.654422i | \(0.227088\pi\) |
−0.999359 | + | 0.0358120i | \(0.988598\pi\) | |||||||
\(822\) | −5.21625 | + | 2.78828i | −0.181938 | + | 0.0972523i | ||||
\(823\) | −5.75661 | − | 9.97074i | −0.200663 | − | 0.347558i | 0.748079 | − | 0.663609i | \(-0.230976\pi\) |
−0.948742 | + | 0.316051i | \(0.897643\pi\) | |||||||
\(824\) | −9.96226 | + | 0.832612i | −0.347052 | + | 0.0290054i | ||||
\(825\) | 35.9840 | − | 84.5663i | 1.25280 | − | 2.94422i | ||||
\(826\) | −1.75849 | + | 0.681242i | −0.0611857 | + | 0.0237035i | ||||
\(827\) | 6.38584 | − | 1.19372i | 0.222057 | − | 0.0415097i | −0.0715449 | − | 0.997437i | \(-0.522793\pi\) |
0.293602 | + | 0.955928i | \(0.405146\pi\) | |||||||
\(828\) | −12.0700 | + | 18.0655i | −0.419461 | + | 0.627820i | ||||
\(829\) | 15.5783 | + | 16.0657i | 0.541057 | + | 0.557984i | 0.932013 | − | 0.362426i | \(-0.118051\pi\) |
−0.390955 | + | 0.920410i | \(0.627855\pi\) | |||||||
\(830\) | 0.940938 | − | 0.582604i | 0.0326604 | − | 0.0202225i | ||||
\(831\) | 4.71094 | − | 0.281550i | 0.163421 | − | 0.00976687i | ||||
\(832\) | −19.5870 | + | 1.20808i | −0.679055 | + | 0.0418827i | ||||
\(833\) | 15.4965 | + | 12.4700i | 0.536923 | + | 0.432060i | ||||
\(834\) | −6.87414 | + | 6.24266i | −0.238032 | + | 0.216166i | ||||
\(835\) | −7.15815 | − | 5.76014i | −0.247718 | − | 0.199338i | ||||
\(836\) | 17.3309 | + | 40.9459i | 0.599402 | + | 1.41614i | ||||
\(837\) | −1.48761 | + | 6.61154i | −0.0514193 | + | 0.228528i | ||||
\(838\) | −4.56044 | − | 4.15739i | −0.157538 | − | 0.143615i | ||||
\(839\) | −19.1251 | + | 8.79894i | −0.660272 | + | 0.303773i | −0.719522 | − | 0.694470i | \(-0.755639\pi\) |
0.0592501 | + | 0.998243i | \(0.481129\pi\) | |||||||
\(840\) | −4.85658 | − | 2.61987i | −0.167568 | − | 0.0903940i | ||||
\(841\) | −1.75919 | − | 1.08924i | −0.0606617 | − | 0.0375601i | ||||
\(842\) | 0.775393 | + | 3.54055i | 0.0267218 | + | 0.122016i | ||||
\(843\) | 16.0920 | + | 32.4721i | 0.554239 | + | 1.11840i | ||||
\(844\) | −9.10750 | − | 18.2903i | −0.313493 | − | 0.629579i | ||||
\(845\) | −15.1519 | + | 1.87621i | −0.521241 | + | 0.0645437i | ||||
\(846\) | −1.82667 | + | 2.73404i | −0.0628023 | + | 0.0939982i | ||||
\(847\) | 15.0993 | + | 5.84951i | 0.518819 | + | 0.200992i | ||||
\(848\) | 3.88420 | + | 4.00571i | 0.133384 | + | 0.137557i | ||||
\(849\) | −13.4478 | − | 6.21805i | −0.461528 | − | 0.213403i | ||||
\(850\) | −7.28689 | + | 2.31813i | −0.249938 | + | 0.0795111i | ||||
\(851\) | 10.3646 | + | 5.56565i | 0.355292 | + | 0.190788i | ||||
\(852\) | 45.0867 | + | 11.4312i | 1.54465 | + | 0.391625i | ||||
\(853\) | 15.0546 | − | 52.9114i | 0.515459 | − | 1.81165i | −0.0656725 | − | 0.997841i | \(-0.520919\pi\) |
0.581132 | − | 0.813810i | \(-0.302610\pi\) | |||||||
\(854\) | −0.462551 | − | 1.62570i | −0.0158282 | − | 0.0556302i | ||||
\(855\) | 7.18098 | + | 47.4531i | 0.245584 | + | 1.62286i | ||||
\(856\) | −9.64962 | − | 2.42698i | −0.329817 | − | 0.0829524i | ||||
\(857\) | −0.0428529 | − | 0.0230115i | −0.00146383 | − | 0.000786058i | 0.472361 | − | 0.881405i | \(-0.343402\pi\) |
−0.473825 | + | 0.880619i | \(0.657127\pi\) | |||||||
\(858\) | −7.13068 | − | 0.453447i | −0.243437 | − | 0.0154804i | ||||
\(859\) | −10.9774 | + | 31.1517i | −0.374545 | + | 1.06288i | 0.591901 | + | 0.806011i | \(0.298378\pi\) |
−0.966446 | + | 0.256871i | \(0.917309\pi\) | |||||||
\(860\) | 25.5849 | − | 51.3814i | 0.872437 | − | 1.75209i | ||||
\(861\) | 10.2560 | + | 0.0195443i | 0.349523 | + | 0.000666068i | ||||
\(862\) | −2.96336 | − | 3.45885i | −0.100933 | − | 0.117809i | ||||
\(863\) | −26.9738 | − | 35.7191i | −0.918198 | − | 1.21589i | −0.976046 | − | 0.217566i | \(-0.930188\pi\) |
0.0578475 | − | 0.998325i | \(-0.481576\pi\) | |||||||
\(864\) | 13.9126 | + | 5.48144i | 0.473315 | + | 0.186482i | ||||
\(865\) | −44.1755 | + | 45.5575i | −1.50201 | + | 1.54900i | ||||
\(866\) | −1.08494 | + | 0.582598i | −0.0368676 | + | 0.0197975i | ||||
\(867\) | −11.7447 | + | 2.93012i | −0.398870 | + | 0.0995120i | ||||
\(868\) | 1.17898 | + | 1.77925i | 0.0400171 | + | 0.0603918i | ||||
\(869\) | −3.84217 | − | 41.4636i | −0.130337 | − | 1.40656i | ||||
\(870\) | 5.55894 | + | 7.39047i | 0.188466 | + | 0.250560i | ||||
\(871\) | −9.79532 | − | 16.9660i | −0.331902 | − | 0.574871i | ||||
\(872\) | −3.25373 | + | 2.30327i | −0.110185 | + | 0.0779984i | ||||
\(873\) | 18.4841 | + | 24.6719i | 0.625592 | + | 0.835016i | ||||
\(874\) | −2.54217 | + | 2.96723i | −0.0859902 | + | 0.100368i | ||||
\(875\) | −2.31204 | − | 14.8944i | −0.0781612 | − | 0.503523i | ||||
\(876\) | 2.63272 | + | 9.32050i | 0.0889515 | + | 0.314911i | ||||
\(877\) | 10.6333 | + | 1.98771i | 0.359061 | + | 0.0671202i | 0.360189 | − | 0.932879i | \(-0.382712\pi\) |
−0.00112819 | + | 0.999999i | \(0.500359\pi\) | |||||||
\(878\) | −0.727590 | − | 1.71900i | −0.0245550 | − | 0.0580134i | ||||
\(879\) | 12.0576 | + | 55.5629i | 0.406691 | + | 1.87409i | ||||
\(880\) | 38.1540 | + | 66.0846i | 1.28617 | + | 2.22771i | ||||
\(881\) | −10.6620 | − | 18.4671i | −0.359212 | − | 0.622173i | 0.628617 | − | 0.777715i | \(-0.283621\pi\) |
−0.987829 | + | 0.155541i | \(0.950288\pi\) | |||||||
\(882\) | −3.08331 | + | 3.57122i | −0.103821 | + | 0.120249i | ||||
\(883\) | −8.81746 | + | 0.543842i | −0.296731 | + | 0.0183017i | −0.209243 | − | 0.977864i | \(-0.567100\pi\) |
−0.0874886 | + | 0.996166i | \(0.527884\pi\) | |||||||
\(884\) | −11.0904 | − | 14.6860i | −0.373009 | − | 0.493944i | ||||
\(885\) | 53.7168 | + | 24.8378i | 1.80567 | + | 0.834914i | ||||
\(886\) | 0.694596 | + | 0.174698i | 0.0233354 | + | 0.00586909i | ||||
\(887\) | 10.7219 | + | 9.77427i | 0.360005 | + | 0.328188i | 0.833408 | − | 0.552658i | \(-0.186386\pi\) |
−0.473403 | + | 0.880846i | \(0.656975\pi\) | |||||||
\(888\) | 1.47926 | − | 5.16168i | 0.0496408 | − | 0.173215i | ||||
\(889\) | −4.30580 | − | 5.02575i | −0.144412 | − | 0.168558i | ||||
\(890\) | 2.02816 | − | 2.68571i | 0.0679840 | − | 0.0900253i | ||||
\(891\) | −43.3725 | − | 23.7182i | −1.45303 | − | 0.794591i | ||||
\(892\) | −31.4365 | − | 36.6928i | −1.05257 | − | 1.22857i | ||||
\(893\) | 11.9097 | − | 13.9011i | 0.398544 | − | 0.465182i | ||||
\(894\) | 6.68798 | − | 5.36083i | 0.223679 | − | 0.179293i | ||||
\(895\) | 21.3236 | + | 74.9446i | 0.712768 | + | 2.50512i | ||||
\(896\) | 5.67178 | − | 2.60943i | 0.189481 | − | 0.0871750i | ||||
\(897\) | 7.54220 | + | 17.9142i | 0.251827 | + | 0.598137i | ||||
\(898\) | −0.847173 | + | 2.97750i | −0.0282705 | + | 0.0993606i | ||||
\(899\) | −1.11509 | − | 7.18355i | −0.0371904 | − | 0.239585i | ||||
\(900\) | 15.1596 | + | 54.0626i | 0.505321 | + | 1.80209i | ||||
\(901\) | −1.04092 | + | 4.75300i | −0.0346782 | + | 0.158345i | ||||
\(902\) | 8.18953 | + | 5.07074i | 0.272682 | + | 0.168837i | ||||
\(903\) | 8.80638 | + | 7.11416i | 0.293058 | + | 0.236744i | ||||
\(904\) | 2.18609 | + | 14.0831i | 0.0727084 | + | 0.468395i | ||||
\(905\) | −62.7931 | − | 19.9759i | −2.08731 | − | 0.664022i | ||||
\(906\) | 0.0352852 | − | 0.123123i | 0.00117227 | − | 0.00409048i | ||||
\(907\) | −9.31770 | − | 18.7125i | −0.309389 | − | 0.621337i | 0.684831 | − | 0.728702i | \(-0.259876\pi\) |
−0.994220 | + | 0.107365i | \(0.965759\pi\) | |||||||
\(908\) | 14.1091 | + | 40.0388i | 0.468227 | + | 1.32873i | ||||
\(909\) | −2.63079 | − | 5.33419i | −0.0872577 | − | 0.176924i | ||||
\(910\) | −2.14007 | + | 1.14919i | −0.0709425 | + | 0.0380953i | ||||
\(911\) | 3.08967 | − | 33.3429i | 0.102365 | − | 1.10470i | −0.777308 | − | 0.629121i | \(-0.783415\pi\) |
0.879673 | − | 0.475579i | \(-0.157761\pi\) | |||||||
\(912\) | −23.1101 | − | 12.4666i | −0.765251 | − | 0.412812i | ||||
\(913\) | 1.35763 | − | 6.19914i | 0.0449311 | − | 0.205161i | ||||
\(914\) | −0.992230 | + | 1.49743i | −0.0328201 | + | 0.0495304i | ||||
\(915\) | −26.6087 | + | 45.8855i | −0.879657 | + | 1.51693i | ||||
\(916\) | 25.7434 | + | 20.7157i | 0.850587 | + | 0.684464i | ||||
\(917\) | −0.129014 | − | 1.39229i | −0.00426043 | − | 0.0459774i | ||||
\(918\) | 0.856942 | + | 4.02283i | 0.0282833 | + | 0.132773i | ||||
\(919\) | −23.5023 | + | 47.1990i | −0.775269 | + | 1.55695i | 0.0542856 | + | 0.998525i | \(0.482712\pi\) |
−0.829555 | + | 0.558425i | \(0.811406\pi\) | |||||||
\(920\) | −7.78748 | + | 11.7525i | −0.256746 | + | 0.387468i | ||||
\(921\) | −3.02571 | − | 19.7400i | −0.0997005 | − | 0.650456i | ||||
\(922\) | 0.0167840 | − | 0.0589896i | 0.000552751 | − | 0.00194272i | ||||
\(923\) | 30.7515 | − | 28.0337i | 1.01220 | − | 0.922740i | ||||
\(924\) | −14.8459 | + | 4.69170i | −0.488395 | + | 0.154345i | ||||
\(925\) | 28.3494 | − | 10.9826i | 0.932124 | − | 0.361107i | ||||
\(926\) | 0.348528 | 0.0114533 | ||||||||
\(927\) | −24.5303 | + | 18.0350i | −0.805682 | + | 0.592348i | ||||
\(928\) | −16.0407 | −0.526562 | ||||||||
\(929\) | −5.62233 | + | 2.17810i | −0.184463 | + | 0.0714612i | −0.451702 | − | 0.892169i | \(-0.649183\pi\) |
0.267239 | + | 0.963630i | \(0.413889\pi\) | |||||||
\(930\) | −0.466935 | + | 2.11281i | −0.0153114 | + | 0.0692819i | ||||
\(931\) | 19.4108 | − | 17.6953i | 0.636165 | − | 0.579941i | ||||
\(932\) | −4.20744 | + | 14.7876i | −0.137819 | + | 0.484385i | ||||
\(933\) | 28.9062 | − | 23.1701i | 0.946347 | − | 0.758556i | ||||
\(934\) | 5.86524 | − | 8.85154i | 0.191917 | − | 0.289631i | ||||
\(935\) | −29.6607 | + | 59.5667i | −0.970009 | + | 1.94804i | ||||
\(936\) | 7.26034 | − | 5.09806i | 0.237312 | − | 0.166635i | ||||
\(937\) | −2.17396 | − | 23.4608i | −0.0710202 | − | 0.766430i | −0.954549 | − | 0.298053i | \(-0.903663\pi\) |
0.883529 | − | 0.468376i | \(-0.155161\pi\) | |||||||
\(938\) | 1.07439 | + | 0.864555i | 0.0350799 | + | 0.0282287i | ||||
\(939\) | −18.5247 | − | 32.2274i | −0.604531 | − | 1.05170i | ||||
\(940\) | 17.9517 | − | 27.0918i | 0.585520 | − | 0.883638i | ||||
\(941\) | −12.8776 | + | 58.8009i | −0.419798 | + | 1.91685i | −0.0210859 | + | 0.999778i | \(0.506712\pi\) |
−0.398712 | + | 0.917076i | \(0.630543\pi\) | |||||||
\(942\) | −0.301238 | − | 10.4226i | −0.00981485 | − | 0.339587i | ||||
\(943\) | 2.41773 | − | 26.0914i | 0.0787321 | − | 0.849654i | ||||
\(944\) | −28.5265 | + | 15.3184i | −0.928460 | + | 0.498572i | ||||
\(945\) | −16.7798 | + | 0.938680i | −0.545846 | + | 0.0305353i | ||||
\(946\) | 3.53375 | + | 10.0281i | 0.114892 | + | 0.326040i | ||||
\(947\) | 3.53803 | + | 7.10533i | 0.114971 | + | 0.230892i | 0.945173 | − | 0.326570i | \(-0.105893\pi\) |
−0.830202 | + | 0.557462i | \(0.811775\pi\) | |||||||
\(948\) | 17.6750 | + | 18.2976i | 0.574059 | + | 0.594279i | ||||
\(949\) | 8.25685 | + | 2.62669i | 0.268029 | + | 0.0852661i | ||||
\(950\) | 1.54889 | + | 9.97811i | 0.0502526 | + | 0.323732i | ||||
\(951\) | 2.04064 | − | 12.9828i | 0.0661723 | − | 0.420995i | ||||
\(952\) | 2.23841 | + | 1.38596i | 0.0725472 | + | 0.0449193i | ||||
\(953\) | −11.0170 | + | 50.3052i | −0.356876 | + | 1.62955i | 0.360430 | + | 0.932786i | \(0.382630\pi\) |
−0.717306 | + | 0.696759i | \(0.754625\pi\) | |||||||
\(954\) | −1.11819 | − | 0.285772i | −0.0362028 | − | 0.00925221i | ||||
\(955\) | 1.02893 | + | 6.62850i | 0.0332955 | + | 0.214493i | ||||
\(956\) | 14.1902 | − | 49.8734i | 0.458944 | − | 1.61302i | ||||
\(957\) | 52.6140 | + | 6.61685i | 1.70077 | + | 0.213892i | ||||
\(958\) | 6.56253 | − | 3.01924i | 0.212026 | − | 0.0975473i | ||||
\(959\) | 3.15545 | + | 11.0902i | 0.101895 | + | 0.358123i | ||||
\(960\) | −40.3938 | − | 15.7372i | −1.30370 | − | 0.507917i | ||||
\(961\) | −19.0625 | + | 22.2498i | −0.614919 | + | 0.717737i | ||||
\(962\) | −1.53783 | − | 1.79496i | −0.0495816 | − | 0.0578719i | ||||
\(963\) | −28.9128 | + | 9.07661i | −0.931701 | + | 0.292490i | ||||
\(964\) | 4.32371 | − | 5.72552i | 0.139257 | − | 0.184407i | ||||
\(965\) | −25.0115 | − | 29.1935i | −0.805148 | − | 0.939773i | ||||
\(966\) | −0.950603 | − | 0.984087i | −0.0305851 | − | 0.0316625i | ||||
\(967\) | 25.1435 | + | 22.9213i | 0.808560 | + | 0.737100i | 0.968228 | − | 0.250071i | \(-0.0804539\pi\) |
−0.159667 | + | 0.987171i | \(0.551042\pi\) | |||||||
\(968\) | −18.3123 | − | 4.60572i | −0.588578 | − | 0.148033i | ||||
\(969\) | −2.06930 | − | 22.8043i | −0.0664756 | − | 0.732578i | ||||
\(970\) | 5.93183 | + | 7.85501i | 0.190460 | + | 0.252209i | ||||
\(971\) | 18.6950 | − | 1.15307i | 0.599953 | − | 0.0370038i | 0.241262 | − | 0.970460i | \(-0.422439\pi\) |
0.358691 | + | 0.933456i | \(0.383223\pi\) | |||||||
\(972\) | 29.7386 | − | 5.26636i | 0.953866 | − | 0.168919i | ||||
\(973\) | 9.05101 | + | 15.6768i | 0.290162 | + | 0.502576i | ||||
\(974\) | 1.79039 | + | 3.10105i | 0.0573678 | + | 0.0993640i | ||||
\(975\) | 47.8382 | + | 15.3189i | 1.53205 | + | 0.490597i | ||||
\(976\) | −11.3118 | − | 26.7253i | −0.362083 | − | 0.855455i | ||||
\(977\) | 20.1816 | + | 3.77260i | 0.645667 | + | 0.120696i | 0.496390 | − | 0.868099i | \(-0.334658\pi\) |
0.149276 | + | 0.988795i | \(0.452306\pi\) | |||||||
\(978\) | 2.49629 | − | 2.56459i | 0.0798227 | − | 0.0820066i | ||||
\(979\) | −2.96021 | − | 19.0700i | −0.0946087 | − | 0.609479i | ||||
\(980\) | 30.3407 | − | 35.4138i | 0.969197 | − | 1.13125i | ||||
\(981\) | −4.77499 | + | 11.1627i | −0.152454 | + | 0.356396i | ||||
\(982\) | −6.47841 | + | 4.58597i | −0.206734 | + | 0.146344i | ||||
\(983\) | 8.87384 | + | 15.3699i | 0.283031 | + | 0.490225i | 0.972130 | − | 0.234443i | \(-0.0753266\pi\) |
−0.689098 | + | 0.724668i | \(0.741993\pi\) | |||||||
\(984\) | −11.8717 | + | 1.44708i | −0.378457 | + | 0.0461311i | ||||
\(985\) | 7.33909 | + | 79.2014i | 0.233843 | + | 2.52357i | ||||
\(986\) | −2.43712 | − | 3.67798i | −0.0776138 | − | 0.117131i | ||||
\(987\) | 4.45345 | + | 4.61031i | 0.141755 | + | 0.146748i | ||||
\(988\) | −21.4100 | + | 11.4969i | −0.681142 | + | 0.365766i | ||||
\(989\) | 20.1350 | − | 20.7649i | 0.640256 | − | 0.660286i | ||||
\(990\) | −13.8773 | − | 7.52023i | −0.441050 | − | 0.239009i | ||||
\(991\) | 9.37866 | + | 12.4193i | 0.297923 | + | 0.394514i | 0.922215 | − | 0.386677i | \(-0.126377\pi\) |
−0.624292 | + | 0.781191i | \(0.714613\pi\) | |||||||
\(992\) | −2.44192 | − | 2.85022i | −0.0775309 | − | 0.0904945i | ||||
\(993\) | 0.522476 | − | 0.900986i | 0.0165803 | − | 0.0285919i | ||||
\(994\) | −1.30565 | + | 2.62209i | −0.0414126 | + | 0.0831677i | ||||
\(995\) | 29.5353 | − | 83.8150i | 0.936331 | − | 2.65712i | ||||
\(996\) | 1.72154 | + | 3.47389i | 0.0545491 | + | 0.110075i | ||||
\(997\) | 21.5052 | + | 11.5481i | 0.681077 | + | 0.365731i | 0.776862 | − | 0.629671i | \(-0.216810\pi\) |
−0.0957844 | + | 0.995402i | \(0.530536\pi\) | |||||||
\(998\) | 8.50080 | + | 2.13804i | 0.269088 | + | 0.0676784i | ||||
\(999\) | −4.38526 | − | 15.7542i | −0.138743 | − | 0.498441i |
(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 | 927.2.y.a.781.55 | yes | 3264 | |
9.4 | even | 3 | 927.2.z.a.472.48 | yes | 3264 | ||
103.91 | even | 51 | 927.2.z.a.709.48 | yes | 3264 | ||
927.400 | even | 51 | inner | 927.2.y.a.400.55 | ✓ | 3264 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
927.2.y.a.400.55 | ✓ | 3264 | 927.400 | even | 51 | inner | |
927.2.y.a.781.55 | yes | 3264 | 1.1 | even | 1 | trivial | |
927.2.z.a.472.48 | yes | 3264 | 9.4 | even | 3 | ||
927.2.z.a.709.48 | yes | 3264 | 103.91 | even | 51 |