Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(13,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([19, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.s (of order \(20\), degree \(8\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 13.9 | ||
Character | \(\chi\) | \(=\) | 175.13 |
Dual form | 175.2.s.a.27.9 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{19}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.437303 | + | 0.0692620i | −0.309220 | + | 0.0489756i | −0.309116 | − | 0.951024i | \(-0.600033\pi\) |
−0.000103993 | 1.00000i | \(0.500033\pi\) | ||||||||
\(3\) | −2.82799 | − | 1.44093i | −1.63274 | − | 0.831924i | −0.998259 | − | 0.0589881i | \(-0.981213\pi\) |
−0.634484 | − | 0.772936i | \(-0.718787\pi\) | |||||||
\(4\) | −1.71568 | + | 0.557457i | −0.857838 | + | 0.278729i | ||||
\(5\) | 2.19504 | − | 0.426380i | 0.981652 | − | 0.190683i | ||||
\(6\) | 1.33649 | + | 0.434253i | 0.545621 | + | 0.177283i | ||||
\(7\) | −2.15975 | + | 1.52822i | −0.816310 | + | 0.577614i | ||||
\(8\) | 1.50065 | − | 0.764621i | 0.530561 | − | 0.270334i | ||||
\(9\) | 4.15790 | + | 5.72286i | 1.38597 | + | 1.90762i | ||||
\(10\) | −0.930365 | + | 0.338490i | −0.294207 | + | 0.107040i | ||||
\(11\) | 2.41860 | + | 1.75722i | 0.729235 | + | 0.529821i | 0.889321 | − | 0.457283i | \(-0.151177\pi\) |
−0.160086 | + | 0.987103i | \(0.551177\pi\) | |||||||
\(12\) | 5.65518 | + | 0.895693i | 1.63251 | + | 0.258564i | ||||
\(13\) | −0.482157 | + | 3.04422i | −0.133726 | + | 0.844315i | 0.826060 | + | 0.563583i | \(0.190577\pi\) |
−0.959786 | + | 0.280733i | \(0.909423\pi\) | |||||||
\(14\) | 0.838618 | − | 0.817886i | 0.224130 | − | 0.218589i | ||||
\(15\) | −6.82194 | − | 1.95711i | −1.76142 | − | 0.505323i | ||||
\(16\) | 2.31560 | − | 1.68238i | 0.578901 | − | 0.420596i | ||||
\(17\) | −0.763071 | + | 0.388804i | −0.185072 | + | 0.0942989i | −0.544071 | − | 0.839039i | \(-0.683118\pi\) |
0.358999 | + | 0.933338i | \(0.383118\pi\) | |||||||
\(18\) | −2.21464 | − | 2.21464i | −0.521995 | − | 0.521995i | ||||
\(19\) | −1.72594 | + | 5.31191i | −0.395959 | + | 1.21864i | 0.532254 | + | 0.846585i | \(0.321345\pi\) |
−0.928213 | + | 0.372050i | \(0.878655\pi\) | |||||||
\(20\) | −3.52829 | + | 1.95517i | −0.788949 | + | 0.437190i | ||||
\(21\) | 8.30984 | − | 1.20974i | 1.81336 | − | 0.263988i | ||||
\(22\) | −1.17937 | − | 0.600919i | −0.251442 | − | 0.128116i | ||||
\(23\) | 0.214665 | + | 1.35534i | 0.0447607 | + | 0.282608i | 0.999909 | − | 0.0135212i | \(-0.00430406\pi\) |
−0.955148 | + | 0.296129i | \(0.904304\pi\) | |||||||
\(24\) | −5.34561 | −1.09117 | ||||||||
\(25\) | 4.63640 | − | 1.87184i | 0.927280 | − | 0.374369i | ||||
\(26\) | − | 1.36464i | − | 0.267628i | ||||||
\(27\) | −2.02271 | − | 12.7709i | −0.389271 | − | 2.45776i | ||||
\(28\) | 2.85352 | − | 3.82591i | 0.539264 | − | 0.723028i | ||||
\(29\) | −4.22812 | + | 1.37380i | −0.785142 | + | 0.255108i | −0.674034 | − | 0.738700i | \(-0.735440\pi\) |
−0.111108 | + | 0.993808i | \(0.535440\pi\) | |||||||
\(30\) | 3.11881 | + | 0.383348i | 0.569414 | + | 0.0699894i | ||||
\(31\) | −5.16783 | − | 1.67913i | −0.928169 | − | 0.301581i | −0.194356 | − | 0.980931i | \(-0.562262\pi\) |
−0.733814 | + | 0.679351i | \(0.762262\pi\) | |||||||
\(32\) | −3.27794 | + | 3.27794i | −0.579464 | + | 0.579464i | ||||
\(33\) | −4.30775 | − | 8.45444i | −0.749883 | − | 1.47173i | ||||
\(34\) | 0.306764 | − | 0.222877i | 0.0526096 | − | 0.0382231i | ||||
\(35\) | −4.08914 | + | 4.27539i | −0.691191 | + | 0.722673i | ||||
\(36\) | −10.3239 | − | 7.50072i | −1.72064 | − | 1.25012i | ||||
\(37\) | 0.429395 | − | 2.71109i | 0.0705921 | − | 0.445701i | −0.926923 | − | 0.375251i | \(-0.877556\pi\) |
0.997515 | − | 0.0704500i | \(-0.0224435\pi\) | |||||||
\(38\) | 0.386847 | − | 2.44245i | 0.0627548 | − | 0.396219i | ||||
\(39\) | 5.75006 | − | 7.91428i | 0.920747 | − | 1.26730i | ||||
\(40\) | 2.96797 | − | 2.31822i | 0.469278 | − | 0.366543i | ||||
\(41\) | 6.23753 | + | 8.58522i | 0.974138 | + | 1.34079i | 0.939928 | + | 0.341371i | \(0.110891\pi\) |
0.0342096 | + | 0.999415i | \(0.489109\pi\) | |||||||
\(42\) | −3.55013 | + | 1.10458i | −0.547797 | + | 0.170440i | ||||
\(43\) | 4.86378 | + | 4.86378i | 0.741720 | + | 0.741720i | 0.972909 | − | 0.231189i | \(-0.0742616\pi\) |
−0.231189 | + | 0.972909i | \(0.574262\pi\) | |||||||
\(44\) | −5.12911 | − | 1.66655i | −0.773242 | − | 0.251242i | ||||
\(45\) | 11.5669 | + | 10.7891i | 1.72429 | + | 1.60834i | ||||
\(46\) | −0.187747 | − | 0.577827i | −0.0276818 | − | 0.0851959i | ||||
\(47\) | −0.788291 | + | 1.54711i | −0.114984 | + | 0.225669i | −0.941325 | − | 0.337501i | \(-0.890418\pi\) |
0.826341 | + | 0.563170i | \(0.190418\pi\) | |||||||
\(48\) | −8.97271 | + | 1.42114i | −1.29510 | + | 0.205124i | ||||
\(49\) | 2.32906 | − | 6.60117i | 0.332723 | − | 0.943024i | ||||
\(50\) | −1.89786 | + | 1.13969i | −0.268398 | + | 0.161176i | ||||
\(51\) | 2.71820 | 0.380624 | ||||||||
\(52\) | −0.869797 | − | 5.49168i | −0.120619 | − | 0.761559i | ||||
\(53\) | −5.16846 | + | 10.1437i | −0.709943 | + | 1.39334i | 0.200494 | + | 0.979695i | \(0.435745\pi\) |
−0.910437 | + | 0.413647i | \(0.864255\pi\) | |||||||
\(54\) | 1.76908 | + | 5.44465i | 0.240741 | + | 0.740923i | ||||
\(55\) | 6.05817 | + | 2.82592i | 0.816883 | + | 0.381046i | ||||
\(56\) | −2.07253 | + | 3.94473i | −0.276953 | + | 0.527136i | ||||
\(57\) | 12.5351 | − | 12.5351i | 1.66031 | − | 1.66031i | ||||
\(58\) | 1.75382 | − | 0.893614i | 0.230287 | − | 0.117337i | ||||
\(59\) | −0.0470722 | + | 0.0342000i | −0.00612828 | + | 0.00445246i | −0.590845 | − | 0.806785i | \(-0.701206\pi\) |
0.584717 | + | 0.811237i | \(0.301206\pi\) | |||||||
\(60\) | 12.7953 | − | 0.445177i | 1.65186 | − | 0.0574721i | ||||
\(61\) | −3.65341 | + | 5.02849i | −0.467771 | + | 0.643832i | −0.976098 | − | 0.217333i | \(-0.930264\pi\) |
0.508326 | + | 0.861164i | \(0.330264\pi\) | |||||||
\(62\) | 2.37621 | + | 0.376354i | 0.301779 | + | 0.0477970i | ||||
\(63\) | −17.7258 | − | 6.00576i | −2.23325 | − | 0.756654i | ||||
\(64\) | −2.15835 | + | 2.97071i | −0.269794 | + | 0.371339i | ||||
\(65\) | 0.239642 | + | 6.88777i | 0.0297239 | + | 0.854323i | ||||
\(66\) | 2.46936 | + | 3.39879i | 0.303958 | + | 0.418362i | ||||
\(67\) | −0.445112 | − | 0.873581i | −0.0543791 | − | 0.106725i | 0.862218 | − | 0.506538i | \(-0.169075\pi\) |
−0.916597 | + | 0.399813i | \(0.869075\pi\) | |||||||
\(68\) | 1.09244 | − | 1.09244i | 0.132478 | − | 0.132478i | ||||
\(69\) | 1.34589 | − | 4.14221i | 0.162026 | − | 0.498664i | ||||
\(70\) | 1.49207 | − | 2.15286i | 0.178337 | − | 0.257316i | ||||
\(71\) | −2.53019 | − | 7.78713i | −0.300279 | − | 0.924162i | −0.981397 | − | 0.191989i | \(-0.938506\pi\) |
0.681118 | − | 0.732173i | \(-0.261494\pi\) | |||||||
\(72\) | 10.6154 | + | 5.40881i | 1.25103 | + | 0.637434i | ||||
\(73\) | 4.88695 | − | 0.774018i | 0.571975 | − | 0.0905919i | 0.136254 | − | 0.990674i | \(-0.456494\pi\) |
0.435721 | + | 0.900082i | \(0.356494\pi\) | |||||||
\(74\) | 1.21531i | 0.141277i | ||||||||
\(75\) | −15.8089 | − | 1.38719i | −1.82546 | − | 0.160179i | ||||
\(76\) | − | 10.0757i | − | 1.15576i | ||||||
\(77\) | −7.90900 | − | 0.0989895i | −0.901314 | − | 0.0112809i | ||||
\(78\) | −1.96636 | + | 3.85920i | −0.222647 | + | 0.436968i | ||||
\(79\) | 8.47048 | − | 2.75222i | 0.953003 | − | 0.309649i | 0.209068 | − | 0.977901i | \(-0.432957\pi\) |
0.743935 | + | 0.668252i | \(0.232957\pi\) | |||||||
\(80\) | 4.36550 | − | 4.68023i | 0.488078 | − | 0.523265i | ||||
\(81\) | −6.12400 | + | 18.8477i | −0.680445 | + | 2.09419i | ||||
\(82\) | −3.32232 | − | 3.32232i | −0.366889 | − | 0.366889i | ||||
\(83\) | 0.465755 | + | 0.914096i | 0.0511233 | + | 0.100335i | 0.915155 | − | 0.403103i | \(-0.132068\pi\) |
−0.864031 | + | 0.503438i | \(0.832068\pi\) | |||||||
\(84\) | −13.5826 | + | 6.70791i | −1.48198 | + | 0.731893i | ||||
\(85\) | −1.50919 | + | 1.17880i | −0.163695 | + | 0.127859i | ||||
\(86\) | −2.46382 | − | 1.79007i | −0.265681 | − | 0.193028i | ||||
\(87\) | 13.9366 | + | 2.20735i | 1.49416 | + | 0.236652i | ||||
\(88\) | 4.97308 | + | 0.787659i | 0.530133 | + | 0.0839648i | ||||
\(89\) | −8.07045 | − | 5.86353i | −0.855466 | − | 0.621533i | 0.0711814 | − | 0.997463i | \(-0.477323\pi\) |
−0.926648 | + | 0.375931i | \(0.877323\pi\) | |||||||
\(90\) | −5.80550 | − | 3.91694i | −0.611953 | − | 0.412882i | ||||
\(91\) | −3.61091 | − | 7.31161i | −0.378526 | − | 0.766465i | ||||
\(92\) | −1.12384 | − | 2.20566i | −0.117168 | − | 0.229956i | ||||
\(93\) | 12.1951 | + | 12.1951i | 1.26457 | + | 1.26457i | ||||
\(94\) | 0.237566 | − | 0.731153i | 0.0245031 | − | 0.0754127i | ||||
\(95\) | −1.52362 | + | 12.3958i | −0.156320 | + | 1.27178i | ||||
\(96\) | 13.9933 | − | 4.54670i | 1.42819 | − | 0.464046i | ||||
\(97\) | −0.309632 | + | 0.607687i | −0.0314384 | + | 0.0617013i | −0.906191 | − | 0.422868i | \(-0.861024\pi\) |
0.874753 | + | 0.484569i | \(0.161024\pi\) | |||||||
\(98\) | −0.561296 | + | 3.04803i | −0.0566995 | + | 0.307897i | ||||
\(99\) | 21.1476i | 2.12542i | ||||||||
\(100\) | −6.91109 | + | 5.79607i | −0.691109 | + | 0.579607i | ||||
\(101\) | − | 6.52607i | − | 0.649368i | −0.945823 | − | 0.324684i | \(-0.894742\pi\) | ||
0.945823 | − | 0.324684i | \(-0.105258\pi\) | |||||||
\(102\) | −1.18868 | + | 0.188268i | −0.117697 | + | 0.0186413i | ||||
\(103\) | 6.23891 | + | 3.17888i | 0.614738 | + | 0.313224i | 0.733491 | − | 0.679699i | \(-0.237890\pi\) |
−0.118753 | + | 0.992924i | \(0.537890\pi\) | |||||||
\(104\) | 1.60413 | + | 4.93699i | 0.157297 | + | 0.484112i | ||||
\(105\) | 17.7246 | − | 6.19859i | 1.72975 | − | 0.604920i | ||||
\(106\) | 1.55761 | − | 4.79384i | 0.151289 | − | 0.465619i | ||||
\(107\) | −2.79953 | + | 2.79953i | −0.270641 | + | 0.270641i | −0.829358 | − | 0.558718i | \(-0.811294\pi\) |
0.558718 | + | 0.829358i | \(0.311294\pi\) | |||||||
\(108\) | 10.5895 | + | 20.7831i | 1.01898 | + | 1.99986i | ||||
\(109\) | −10.3895 | − | 14.3000i | −0.995138 | − | 1.36969i | −0.928262 | − | 0.371928i | \(-0.878697\pi\) |
−0.0668759 | − | 0.997761i | \(-0.521303\pi\) | |||||||
\(110\) | −2.84498 | − | 0.816181i | −0.271258 | − | 0.0778198i | ||||
\(111\) | −5.12084 | + | 7.04823i | −0.486048 | + | 0.668988i | ||||
\(112\) | −2.43007 | + | 7.17229i | −0.229620 | + | 0.677718i | ||||
\(113\) | 6.00704 | + | 0.951422i | 0.565095 | + | 0.0895023i | 0.432444 | − | 0.901661i | \(-0.357651\pi\) |
0.132651 | + | 0.991163i | \(0.457651\pi\) | |||||||
\(114\) | −4.61342 | + | 6.34983i | −0.432086 | + | 0.594716i | ||||
\(115\) | 1.04909 | + | 2.88350i | 0.0978280 | + | 0.268888i | ||||
\(116\) | 6.48825 | − | 4.71399i | 0.602419 | − | 0.437683i | ||||
\(117\) | −19.4264 | + | 9.89825i | −1.79597 | + | 0.915093i | ||||
\(118\) | 0.0182161 | − | 0.0182161i | 0.00167692 | − | 0.00167692i | ||||
\(119\) | 1.05387 | − | 2.00587i | 0.0966077 | − | 0.183877i | ||||
\(120\) | −11.7338 | + | 2.27926i | −1.07115 | + | 0.208067i | ||||
\(121\) | −0.637367 | − | 1.96162i | −0.0579425 | − | 0.178329i | ||||
\(122\) | 1.24936 | − | 2.45201i | 0.113112 | − | 0.221995i | ||||
\(123\) | −5.26895 | − | 33.2668i | −0.475085 | − | 2.99957i | ||||
\(124\) | 9.80236 | 0.880278 | ||||||||
\(125\) | 9.37896 | − | 6.08564i | 0.838880 | − | 0.544316i | ||||
\(126\) | 8.16753 | + | 1.39861i | 0.727622 | + | 0.124598i | ||||
\(127\) | −3.09449 | + | 0.490120i | −0.274592 | + | 0.0434911i | −0.292212 | − | 0.956354i | \(-0.594391\pi\) |
0.0176197 | + | 0.999845i | \(0.494391\pi\) | |||||||
\(128\) | 4.94723 | − | 9.70950i | 0.437278 | − | 0.858206i | ||||
\(129\) | −6.74635 | − | 20.7631i | −0.593983 | − | 1.82809i | ||||
\(130\) | −0.581857 | − | 2.99544i | −0.0510322 | − | 0.262718i | ||||
\(131\) | 7.46859 | + | 2.42669i | 0.652534 | + | 0.212021i | 0.616531 | − | 0.787331i | \(-0.288537\pi\) |
0.0360029 | + | 0.999352i | \(0.488537\pi\) | |||||||
\(132\) | 12.1037 | + | 12.1037i | 1.05349 | + | 1.05349i | ||||
\(133\) | −4.39017 | − | 14.1100i | −0.380676 | − | 1.22350i | ||||
\(134\) | 0.255155 | + | 0.351190i | 0.0220420 | + | 0.0303382i | ||||
\(135\) | −9.88519 | − | 27.1702i | −0.850782 | − | 2.33844i | ||||
\(136\) | −0.847818 | + | 1.16692i | −0.0726998 | + | 0.100063i | ||||
\(137\) | −1.88413 | + | 11.8960i | −0.160972 | + | 1.01634i | 0.766444 | + | 0.642311i | \(0.222024\pi\) |
−0.927417 | + | 0.374029i | \(0.877976\pi\) | |||||||
\(138\) | −0.301662 | + | 1.90462i | −0.0256792 | + | 0.162132i | ||||
\(139\) | 10.2633 | + | 7.45673i | 0.870522 | + | 0.632472i | 0.930727 | − | 0.365715i | \(-0.119175\pi\) |
−0.0602047 | + | 0.998186i | \(0.519175\pi\) | |||||||
\(140\) | 4.63229 | − | 9.61470i | 0.391500 | − | 0.812591i | ||||
\(141\) | 4.45856 | − | 3.23933i | 0.375479 | − | 0.272801i | ||||
\(142\) | 1.64581 | + | 3.23009i | 0.138114 | + | 0.271063i | ||||
\(143\) | −6.51550 | + | 6.51550i | −0.544854 | + | 0.544854i | ||||
\(144\) | 19.2561 | + | 6.25668i | 1.60467 | + | 0.521390i | ||||
\(145\) | −8.69512 | + | 4.81833i | −0.722091 | + | 0.400140i | ||||
\(146\) | −2.08347 | + | 0.676960i | −0.172429 | + | 0.0560256i | ||||
\(147\) | −16.0984 | + | 15.3120i | −1.32778 | + | 1.26292i | ||||
\(148\) | 0.774616 | + | 4.89073i | 0.0636730 | + | 0.402016i | ||||
\(149\) | − | 3.07944i | − | 0.252278i | −0.992013 | − | 0.126139i | \(-0.959741\pi\) | ||
0.992013 | − | 0.126139i | \(-0.0402585\pi\) | |||||||
\(150\) | 7.00936 | − | 0.488335i | 0.572312 | − | 0.0398724i | ||||
\(151\) | 10.5337 | 0.857222 | 0.428611 | − | 0.903489i | \(-0.359003\pi\) | ||||
0.428611 | + | 0.903489i | \(0.359003\pi\) | |||||||
\(152\) | 1.47155 | + | 9.29102i | 0.119359 | + | 0.753601i | ||||
\(153\) | −5.39784 | − | 2.75034i | −0.436390 | − | 0.222352i | ||||
\(154\) | 3.46548 | − | 0.504504i | 0.279257 | − | 0.0406541i | ||||
\(155\) | −12.0595 | − | 1.48230i | −0.968645 | − | 0.119061i | ||||
\(156\) | −5.45337 | + | 16.7838i | −0.436619 | + | 1.34378i | ||||
\(157\) | −8.81242 | − | 8.81242i | −0.703307 | − | 0.703307i | 0.261812 | − | 0.965119i | \(-0.415680\pi\) |
−0.965119 | + | 0.261812i | \(0.915680\pi\) | |||||||
\(158\) | −3.51354 | + | 1.79024i | −0.279522 | + | 0.142424i | ||||
\(159\) | 29.2328 | − | 21.2388i | 2.31831 | − | 1.68435i | ||||
\(160\) | −5.79757 | + | 8.59287i | −0.458338 | + | 0.679326i | ||||
\(161\) | −2.53489 | − | 2.59915i | −0.199777 | − | 0.204841i | ||||
\(162\) | 1.37261 | − | 8.66633i | 0.107843 | − | 0.680891i | ||||
\(163\) | −13.1076 | − | 2.07604i | −1.02667 | − | 0.162608i | −0.379686 | − | 0.925115i | \(-0.623968\pi\) |
−0.646979 | + | 0.762508i | \(0.723968\pi\) | |||||||
\(164\) | −15.4875 | − | 11.2523i | −1.20937 | − | 0.878657i | ||||
\(165\) | −13.0605 | − | 16.7211i | −1.01676 | − | 1.30174i | ||||
\(166\) | −0.266988 | − | 0.367478i | −0.0207223 | − | 0.0285218i | ||||
\(167\) | 5.99531 | − | 3.05476i | 0.463931 | − | 0.236385i | −0.206370 | − | 0.978474i | \(-0.566165\pi\) |
0.670301 | + | 0.742089i | \(0.266165\pi\) | |||||||
\(168\) | 11.5452 | − | 8.16928i | 0.890731 | − | 0.630274i | ||||
\(169\) | 3.32892 | + | 1.08163i | 0.256071 | + | 0.0832025i | ||||
\(170\) | 0.578329 | − | 0.620022i | 0.0443558 | − | 0.0475535i | ||||
\(171\) | −37.5756 | + | 12.2090i | −2.87348 | + | 0.933649i | ||||
\(172\) | −11.0560 | − | 5.63333i | −0.843014 | − | 0.429537i | ||||
\(173\) | 7.01830 | − | 1.11159i | 0.533592 | − | 0.0845126i | 0.116177 | − | 0.993229i | \(-0.462936\pi\) |
0.417415 | + | 0.908716i | \(0.362936\pi\) | |||||||
\(174\) | −6.24742 | −0.473616 | ||||||||
\(175\) | −7.15288 | + | 11.1282i | −0.540707 | + | 0.841211i | ||||
\(176\) | 8.55683 | 0.644995 | ||||||||
\(177\) | 0.182400 | − | 0.0288893i | 0.0137100 | − | 0.00217145i | ||||
\(178\) | 3.93535 | + | 2.00516i | 0.294967 | + | 0.150293i | ||||
\(179\) | −11.1912 | + | 3.63625i | −0.836472 | + | 0.271786i | −0.695769 | − | 0.718266i | \(-0.744936\pi\) |
−0.140703 | + | 0.990052i | \(0.544936\pi\) | |||||||
\(180\) | −25.8594 | − | 12.0625i | −1.92745 | − | 0.899085i | ||||
\(181\) | −15.3486 | − | 4.98705i | −1.14085 | − | 0.370684i | −0.323160 | − | 0.946344i | \(-0.604745\pi\) |
−0.817689 | + | 0.575660i | \(0.804745\pi\) | |||||||
\(182\) | 2.08548 | + | 2.94729i | 0.154586 | + | 0.218468i | ||||
\(183\) | 17.5775 | − | 8.95620i | 1.29937 | − | 0.662062i | ||||
\(184\) | 1.35846 | + | 1.86976i | 0.100147 | + | 0.137840i | ||||
\(185\) | −0.213418 | − | 6.13405i | −0.0156908 | − | 0.450984i | ||||
\(186\) | −6.17759 | − | 4.48829i | −0.452963 | − | 0.329097i | ||||
\(187\) | −2.52878 | − | 0.400519i | −0.184923 | − | 0.0292889i | ||||
\(188\) | 0.490006 | − | 3.09377i | 0.0357373 | − | 0.225637i | ||||
\(189\) | 23.8853 | + | 24.4908i | 1.73740 | + | 1.78145i | ||||
\(190\) | −0.192270 | − | 5.52623i | −0.0139488 | − | 0.400915i | ||||
\(191\) | 9.19433 | − | 6.68007i | 0.665278 | − | 0.483353i | −0.203163 | − | 0.979145i | \(-0.565122\pi\) |
0.868441 | + | 0.495792i | \(0.165122\pi\) | |||||||
\(192\) | 10.3844 | − | 5.29112i | 0.749429 | − | 0.381853i | ||||
\(193\) | −2.14105 | − | 2.14105i | −0.154116 | − | 0.154116i | 0.625837 | − | 0.779954i | \(-0.284757\pi\) |
−0.779954 | + | 0.625837i | \(0.784757\pi\) | |||||||
\(194\) | 0.0933134 | − | 0.287189i | 0.00669951 | − | 0.0206190i | ||||
\(195\) | 9.24712 | − | 19.8239i | 0.662200 | − | 1.41962i | ||||
\(196\) | −0.316051 | + | 12.6238i | −0.0225751 | + | 0.901702i | ||||
\(197\) | 10.9562 | + | 5.58244i | 0.780594 | + | 0.397733i | 0.798414 | − | 0.602109i | \(-0.205673\pi\) |
−0.0178200 | + | 0.999841i | \(0.505673\pi\) | |||||||
\(198\) | −1.46473 | − | 9.24792i | −0.104094 | − | 0.657221i | ||||
\(199\) | 6.17091 | 0.437444 | 0.218722 | − | 0.975787i | \(-0.429811\pi\) | ||||
0.218722 | + | 0.975787i | \(0.429811\pi\) | |||||||
\(200\) | 5.52638 | − | 6.35408i | 0.390774 | − | 0.449301i | ||||
\(201\) | 3.11186i | 0.219494i | ||||||||
\(202\) | 0.452008 | + | 2.85387i | 0.0318032 | + | 0.200797i | ||||
\(203\) | 7.03222 | − | 9.42857i | 0.493565 | − | 0.661756i | ||||
\(204\) | −4.66356 | + | 1.51528i | −0.326514 | + | 0.106091i | ||||
\(205\) | 17.3522 | + | 16.1853i | 1.21193 | + | 1.13043i | ||||
\(206\) | −2.94847 | − | 0.958015i | −0.205429 | − | 0.0667481i | ||||
\(207\) | −6.86387 | + | 6.86387i | −0.477072 | + | 0.477072i | ||||
\(208\) | 4.00506 | + | 7.86038i | 0.277701 | + | 0.545019i | ||||
\(209\) | −13.5085 | + | 9.81453i | −0.934405 | + | 0.678885i | ||||
\(210\) | −7.32170 | + | 3.93830i | −0.505245 | + | 0.271769i | ||||
\(211\) | −8.75641 | − | 6.36190i | −0.602816 | − | 0.437971i | 0.244061 | − | 0.969760i | \(-0.421520\pi\) |
−0.846877 | + | 0.531788i | \(0.821520\pi\) | |||||||
\(212\) | 3.21274 | − | 20.2845i | 0.220652 | − | 1.39314i | ||||
\(213\) | −4.06538 | + | 25.6678i | −0.278555 | + | 1.75873i | ||||
\(214\) | 1.03034 | − | 1.41814i | 0.0704326 | − | 0.0969422i | ||||
\(215\) | 12.7500 | + | 8.60237i | 0.869544 | + | 0.586677i | ||||
\(216\) | −12.8003 | − | 17.6181i | −0.870949 | − | 1.19876i | ||||
\(217\) | 13.7273 | − | 4.27109i | 0.931871 | − | 0.289941i | ||||
\(218\) | 5.53382 | + | 5.53382i | 0.374798 | + | 0.374798i | ||||
\(219\) | −14.9356 | − | 4.85287i | −1.00925 | − | 0.327926i | ||||
\(220\) | −11.9692 | − | 1.47119i | −0.806962 | − | 0.0991875i | ||||
\(221\) | −0.815686 | − | 2.51042i | −0.0548690 | − | 0.168869i | ||||
\(222\) | 1.75118 | − | 3.43689i | 0.117532 | − | 0.230669i | ||||
\(223\) | 21.7024 | − | 3.43732i | 1.45330 | − | 0.230180i | 0.620697 | − | 0.784050i | \(-0.286850\pi\) |
0.832603 | + | 0.553870i | \(0.186850\pi\) | |||||||
\(224\) | 2.07012 | − | 12.0890i | 0.138316 | − | 0.807729i | ||||
\(225\) | 29.9900 | + | 18.7505i | 1.99933 | + | 1.25003i | ||||
\(226\) | −2.69279 | −0.179122 | ||||||||
\(227\) | 2.32135 | + | 14.6564i | 0.154073 | + | 0.972781i | 0.936660 | + | 0.350240i | \(0.113900\pi\) |
−0.782587 | + | 0.622542i | \(0.786100\pi\) | |||||||
\(228\) | −14.5184 | + | 28.4939i | −0.961502 | + | 1.88705i | ||||
\(229\) | 9.06535 | + | 27.9003i | 0.599055 | + | 1.84370i | 0.533405 | + | 0.845860i | \(0.320912\pi\) |
0.0656503 | + | 0.997843i | \(0.479088\pi\) | |||||||
\(230\) | −0.658486 | − | 1.18830i | −0.0434193 | − | 0.0783542i | ||||
\(231\) | 22.2240 | + | 11.6763i | 1.46223 | + | 0.768244i | ||||
\(232\) | −5.29450 | + | 5.29450i | −0.347601 | + | 0.347601i | ||||
\(233\) | −9.85778 | + | 5.02279i | −0.645804 | + | 0.329054i | −0.746031 | − | 0.665911i | \(-0.768043\pi\) |
0.100227 | + | 0.994965i | \(0.468043\pi\) | |||||||
\(234\) | 7.80965 | − | 5.67405i | 0.510533 | − | 0.370924i | ||||
\(235\) | −1.07067 | + | 3.73207i | −0.0698430 | + | 0.243454i | ||||
\(236\) | 0.0616957 | − | 0.0849168i | 0.00401605 | − | 0.00552762i | ||||
\(237\) | −27.9202 | − | 4.42213i | −1.81361 | − | 0.287248i | ||||
\(238\) | −0.321928 | + | 0.950164i | −0.0208675 | + | 0.0615900i | ||||
\(239\) | 11.2435 | − | 15.4754i | 0.727283 | − | 1.00102i | −0.271967 | − | 0.962307i | \(-0.587674\pi\) |
0.999250 | − | 0.0387131i | \(-0.0123259\pi\) | |||||||
\(240\) | −19.0895 | + | 6.94524i | −1.23222 | + | 0.448313i | ||||
\(241\) | −3.30581 | − | 4.55006i | −0.212946 | − | 0.293095i | 0.689160 | − | 0.724609i | \(-0.257980\pi\) |
−0.902106 | + | 0.431514i | \(0.857980\pi\) | |||||||
\(242\) | 0.414588 | + | 0.813675i | 0.0266507 | + | 0.0523050i | ||||
\(243\) | 17.0481 | − | 17.0481i | 1.09364 | − | 1.09364i | ||||
\(244\) | 3.46490 | − | 10.6639i | 0.221818 | − | 0.682685i | ||||
\(245\) | 2.29778 | − | 15.4829i | 0.146800 | − | 0.989166i | ||||
\(246\) | 4.60825 | + | 14.1827i | 0.293811 | + | 0.904258i | ||||
\(247\) | −15.3384 | − | 7.81533i | −0.975962 | − | 0.497278i | ||||
\(248\) | −9.03902 | + | 1.43164i | −0.573978 | + | 0.0909092i | ||||
\(249\) | − | 3.25618i | − | 0.206352i | ||||||
\(250\) | −3.67995 | + | 3.31087i | −0.232740 | + | 0.209398i | ||||
\(251\) | 19.7255i | 1.24506i | 0.782596 | + | 0.622530i | \(0.213895\pi\) | ||||
−0.782596 | + | 0.622530i | \(0.786105\pi\) | |||||||
\(252\) | 33.7598 | + | 0.422539i | 2.12666 | + | 0.0266175i | ||||
\(253\) | −1.86244 | + | 3.65524i | −0.117090 | + | 0.229803i | ||||
\(254\) | 1.31928 | − | 0.428662i | 0.0827793 | − | 0.0268966i | ||||
\(255\) | 5.96656 | − | 1.15899i | 0.373641 | − | 0.0725787i | ||||
\(256\) | 0.778481 | − | 2.39592i | 0.0486550 | − | 0.149745i | ||||
\(257\) | 2.76628 | + | 2.76628i | 0.172556 | + | 0.172556i | 0.788101 | − | 0.615546i | \(-0.211064\pi\) |
−0.615546 | + | 0.788101i | \(0.711064\pi\) | |||||||
\(258\) | 4.38829 | + | 8.61251i | 0.273203 | + | 0.536192i | ||||
\(259\) | 3.21577 | + | 6.51151i | 0.199818 | + | 0.404605i | ||||
\(260\) | −4.25078 | − | 11.6836i | −0.263622 | − | 0.724586i | ||||
\(261\) | −25.4421 | − | 18.4848i | −1.57483 | − | 1.14418i | ||||
\(262\) | −3.43412 | − | 0.543911i | −0.212160 | − | 0.0336029i | ||||
\(263\) | 12.8706 | + | 2.03851i | 0.793638 | + | 0.125700i | 0.540073 | − | 0.841618i | \(-0.318397\pi\) |
0.253565 | + | 0.967318i | \(0.418397\pi\) | |||||||
\(264\) | −12.9289 | − | 9.39338i | −0.795718 | − | 0.578123i | ||||
\(265\) | −7.01992 | + | 24.4695i | −0.431230 | + | 1.50315i | ||||
\(266\) | 2.89712 | + | 5.86629i | 0.177634 | + | 0.359685i | ||||
\(267\) | 14.3742 | + | 28.2110i | 0.879689 | + | 1.72649i | ||||
\(268\) | 1.25065 | + | 1.25065i | 0.0763957 | + | 0.0763957i | ||||
\(269\) | 2.20892 | − | 6.79836i | 0.134680 | − | 0.414503i | −0.860860 | − | 0.508842i | \(-0.830074\pi\) |
0.995540 | + | 0.0943389i | \(0.0300737\pi\) | |||||||
\(270\) | 6.20468 | + | 11.1969i | 0.377605 | + | 0.681424i | ||||
\(271\) | −2.05858 | + | 0.668873i | −0.125050 | + | 0.0406311i | −0.370873 | − | 0.928683i | \(-0.620942\pi\) |
0.245824 | + | 0.969315i | \(0.420942\pi\) | |||||||
\(272\) | −1.11285 | + | 2.18409i | −0.0674766 | + | 0.132430i | ||||
\(273\) | −0.323919 | + | 25.8803i | −0.0196045 | + | 1.56635i | ||||
\(274\) | − | 5.33263i | − | 0.322156i | ||||||
\(275\) | 14.5028 | + | 3.61991i | 0.874554 | + | 0.218289i | ||||
\(276\) | 7.85697i | 0.472934i | ||||||||
\(277\) | 26.5717 | − | 4.20855i | 1.59654 | − | 0.252867i | 0.706148 | − | 0.708064i | \(-0.250431\pi\) |
0.890391 | + | 0.455197i | \(0.150431\pi\) | |||||||
\(278\) | −5.00464 | − | 2.54999i | −0.300159 | − | 0.152938i | ||||
\(279\) | −11.8779 | − | 36.5564i | −0.711111 | − | 2.18857i | ||||
\(280\) | −2.86733 | + | 9.54252i | −0.171356 | + | 0.570274i | ||||
\(281\) | −7.74687 | + | 23.8424i | −0.462139 | + | 1.42232i | 0.400406 | + | 0.916338i | \(0.368869\pi\) |
−0.862545 | + | 0.505980i | \(0.831131\pi\) | |||||||
\(282\) | −1.72538 | + | 1.72538i | −0.102745 | + | 0.102745i | ||||
\(283\) | −7.41454 | − | 14.5519i | −0.440749 | − | 0.865018i | −0.999366 | − | 0.0355926i | \(-0.988668\pi\) |
0.558618 | − | 0.829425i | \(-0.311332\pi\) | |||||||
\(284\) | 8.68198 | + | 11.9497i | 0.515181 | + | 0.709086i | ||||
\(285\) | 22.1703 | − | 32.8597i | 1.31325 | − | 1.94644i | ||||
\(286\) | 2.39797 | − | 3.30052i | 0.141795 | − | 0.195164i | ||||
\(287\) | −26.5917 | − | 9.00961i | −1.56966 | − | 0.531821i | ||||
\(288\) | −32.3886 | − | 5.12985i | −1.90851 | − | 0.302279i | ||||
\(289\) | −9.56124 | + | 13.1599i | −0.562426 | + | 0.774113i | ||||
\(290\) | 3.46868 | − | 2.70931i | 0.203688 | − | 0.159096i | ||||
\(291\) | 1.75128 | − | 1.27238i | 0.102662 | − | 0.0745880i | ||||
\(292\) | −7.95295 | + | 4.05223i | −0.465411 | + | 0.237139i | ||||
\(293\) | −16.2278 | + | 16.2278i | −0.948038 | + | 0.948038i | −0.998715 | − | 0.0506772i | \(-0.983862\pi\) |
0.0506772 | + | 0.998715i | \(0.483862\pi\) | |||||||
\(294\) | 5.97935 | − | 7.81101i | 0.348723 | − | 0.455547i | ||||
\(295\) | −0.0887432 | + | 0.0951410i | −0.00516683 | + | 0.00553932i | ||||
\(296\) | −1.42859 | − | 4.39674i | −0.0830349 | − | 0.255555i | ||||
\(297\) | 17.5491 | − | 34.4420i | 1.01830 | − | 1.99853i | ||||
\(298\) | 0.213288 | + | 1.34665i | 0.0123555 | + | 0.0780093i | ||||
\(299\) | −4.22946 | −0.244596 | ||||||||
\(300\) | 27.8963 | − | 6.43282i | 1.61059 | − | 0.371399i | ||||
\(301\) | −17.9375 | − | 3.07162i | −1.03390 | − | 0.177045i | ||||
\(302\) | −4.60643 | + | 0.729586i | −0.265070 | + | 0.0419830i | ||||
\(303\) | −9.40363 | + | 18.4557i | −0.540225 | + | 1.06025i | ||||
\(304\) | 4.94007 | + | 15.2040i | 0.283332 | + | 0.872007i | ||||
\(305\) | −5.87533 | + | 12.5955i | −0.336421 | + | 0.721215i | ||||
\(306\) | 2.55099 | + | 0.828866i | 0.145830 | + | 0.0473831i | ||||
\(307\) | 3.94765 | + | 3.94765i | 0.225304 | + | 0.225304i | 0.810728 | − | 0.585424i | \(-0.199072\pi\) |
−0.585424 | + | 0.810728i | \(0.699072\pi\) | |||||||
\(308\) | 13.6245 | − | 4.23909i | 0.776326 | − | 0.241545i | ||||
\(309\) | −13.0630 | − | 17.9797i | −0.743129 | − | 1.02283i | ||||
\(310\) | 5.37634 | − | 0.187055i | 0.305355 | − | 0.0106240i | ||||
\(311\) | −6.50647 | + | 8.95539i | −0.368948 | + | 0.507814i | −0.952615 | − | 0.304180i | \(-0.901618\pi\) |
0.583666 | + | 0.811994i | \(0.301618\pi\) | |||||||
\(312\) | 2.57742 | − | 16.2732i | 0.145918 | − | 0.921289i | ||||
\(313\) | 4.95706 | − | 31.2977i | 0.280190 | − | 1.76905i | −0.299388 | − | 0.954132i | \(-0.596782\pi\) |
0.579578 | − | 0.814917i | \(-0.303218\pi\) | |||||||
\(314\) | 4.46406 | + | 3.24333i | 0.251922 | + | 0.183032i | ||||
\(315\) | −41.4697 | − | 5.62492i | −2.33655 | − | 0.316929i | ||||
\(316\) | −12.9983 | + | 9.44385i | −0.731214 | + | 0.531258i | ||||
\(317\) | −12.2250 | − | 23.9929i | −0.686625 | − | 1.34758i | −0.926323 | − | 0.376729i | \(-0.877049\pi\) |
0.239699 | − | 0.970847i | \(-0.422951\pi\) | |||||||
\(318\) | −11.3125 | + | 11.3125i | −0.634375 | + | 0.634375i | ||||
\(319\) | −12.6402 | − | 4.10705i | −0.707715 | − | 0.229950i | ||||
\(320\) | −3.47101 | + | 7.44111i | −0.194035 | + | 0.415971i | ||||
\(321\) | 11.9510 | − | 3.88311i | 0.667039 | − | 0.216734i | ||||
\(322\) | 1.28854 | + | 0.961043i | 0.0718073 | + | 0.0535568i | ||||
\(323\) | −0.748274 | − | 4.72442i | −0.0416351 | − | 0.262874i | ||||
\(324\) | − | 35.7505i | − | 1.98614i | ||||||
\(325\) | 3.46283 | + | 15.0168i | 0.192083 | + | 0.832980i | ||||
\(326\) | 5.87578 | 0.325429 | ||||||||
\(327\) | 8.77622 | + | 55.4109i | 0.485326 | + | 3.06423i | ||||
\(328\) | 15.9248 | + | 8.11409i | 0.879300 | + | 0.448026i | ||||
\(329\) | −0.661814 | − | 4.54605i | −0.0364870 | − | 0.250632i | ||||
\(330\) | 6.86953 | + | 6.40759i | 0.378155 | + | 0.352726i | ||||
\(331\) | 2.72188 | − | 8.37709i | 0.149608 | − | 0.460447i | −0.847967 | − | 0.530050i | \(-0.822173\pi\) |
0.997575 | + | 0.0696030i | \(0.0221733\pi\) | |||||||
\(332\) | −1.30865 | − | 1.30865i | −0.0718217 | − | 0.0718217i | ||||
\(333\) | 17.3006 | − | 8.81509i | 0.948066 | − | 0.483064i | ||||
\(334\) | −2.41019 | + | 1.75110i | −0.131880 | + | 0.0958161i | ||||
\(335\) | −1.34952 | − | 1.72776i | −0.0737319 | − | 0.0943975i | ||||
\(336\) | 17.2070 | − | 16.7816i | 0.938720 | − | 0.915512i | ||||
\(337\) | −0.873192 | + | 5.51312i | −0.0475658 | + | 0.300319i | −0.999990 | − | 0.00445672i | \(-0.998581\pi\) |
0.952424 | + | 0.304775i | \(0.0985814\pi\) | |||||||
\(338\) | −1.53066 | − | 0.242433i | −0.0832571 | − | 0.0131866i | ||||
\(339\) | −15.6169 | − | 11.3464i | −0.848196 | − | 0.616250i | ||||
\(340\) | 1.93216 | − | 2.86375i | 0.104786 | − | 0.155309i | ||||
\(341\) | −9.54832 | − | 13.1421i | −0.517070 | − | 0.711686i | ||||
\(342\) | 15.5863 | − | 7.94161i | 0.842810 | − | 0.429433i | ||||
\(343\) | 5.05786 | + | 17.8162i | 0.273099 | + | 0.961986i | ||||
\(344\) | 11.0178 | + | 3.57990i | 0.594040 | + | 0.193015i | ||||
\(345\) | 1.18812 | − | 9.66618i | 0.0639661 | − | 0.520410i | ||||
\(346\) | −2.99213 | + | 0.972203i | −0.160858 | + | 0.0522660i | ||||
\(347\) | 20.1228 | + | 10.2531i | 1.08025 | + | 0.550415i | 0.901191 | − | 0.433423i | \(-0.142694\pi\) |
0.179060 | + | 0.983838i | \(0.442694\pi\) | |||||||
\(348\) | −25.1413 | + | 3.98199i | −1.34771 | + | 0.213457i | ||||
\(349\) | −2.68079 | −0.143500 | −0.0717498 | − | 0.997423i | \(-0.522858\pi\) | ||||
−0.0717498 | + | 0.997423i | \(0.522858\pi\) | |||||||
\(350\) | 2.35722 | − | 5.36181i | 0.125999 | − | 0.286601i | ||||
\(351\) | 39.8527 | 2.12718 | ||||||||
\(352\) | −13.6881 | + | 2.16798i | −0.729578 | + | 0.115554i | ||||
\(353\) | 25.4558 | + | 12.9704i | 1.35488 | + | 0.690344i | 0.972334 | − | 0.233594i | \(-0.0750487\pi\) |
0.382542 | + | 0.923938i | \(0.375049\pi\) | |||||||
\(354\) | −0.0777631 | + | 0.0252668i | −0.00413306 | + | 0.00134291i | ||||
\(355\) | −8.87415 | − | 16.0142i | −0.470991 | − | 0.849948i | ||||
\(356\) | 17.1150 | + | 5.56098i | 0.907091 | + | 0.294732i | ||||
\(357\) | −5.87065 | + | 4.15402i | −0.310708 | + | 0.219854i | ||||
\(358\) | 4.64211 | − | 2.36527i | 0.245343 | − | 0.125008i | ||||
\(359\) | 4.45197 | + | 6.12761i | 0.234966 | + | 0.323403i | 0.910175 | − | 0.414223i | \(-0.135947\pi\) |
−0.675209 | + | 0.737626i | \(0.735947\pi\) | |||||||
\(360\) | 25.6074 | + | 7.34636i | 1.34963 | + | 0.387187i | ||||
\(361\) | −9.86615 | − | 7.16818i | −0.519271 | − | 0.377273i | ||||
\(362\) | 7.05738 | + | 1.11778i | 0.370928 | + | 0.0587492i | ||||
\(363\) | −1.02409 | + | 6.46584i | −0.0537507 | + | 0.339369i | ||||
\(364\) | 10.2711 | + | 10.5314i | 0.538350 | + | 0.551997i | ||||
\(365\) | 10.3970 | − | 3.78270i | 0.544206 | − | 0.197996i | ||||
\(366\) | −7.06639 | + | 5.13403i | −0.369366 | + | 0.268360i | ||||
\(367\) | 30.0325 | − | 15.3023i | 1.56768 | − | 0.798774i | 0.567976 | − | 0.823045i | \(-0.307727\pi\) |
0.999705 | + | 0.0242713i | \(0.00772657\pi\) | |||||||
\(368\) | 2.77728 | + | 2.77728i | 0.144776 | + | 0.144776i | ||||
\(369\) | −23.1970 | + | 71.3929i | −1.20759 | + | 3.71657i | ||||
\(370\) | 0.518184 | + | 2.66765i | 0.0269391 | + | 0.138685i | ||||
\(371\) | −4.33921 | − | 29.8064i | −0.225281 | − | 1.54747i | ||||
\(372\) | −27.7210 | − | 14.1246i | −1.43727 | − | 0.732325i | ||||
\(373\) | −3.04834 | − | 19.2465i | −0.157837 | − | 0.996544i | −0.931710 | − | 0.363203i | \(-0.881683\pi\) |
0.773873 | − | 0.633341i | \(-0.218317\pi\) | |||||||
\(374\) | 1.13358 | 0.0586162 | ||||||||
\(375\) | −35.2927 | + | 3.69568i | −1.82251 | + | 0.190844i | ||||
\(376\) | 2.92442i | 0.150815i | ||||||||
\(377\) | −2.14353 | − | 13.5337i | −0.110397 | − | 0.697022i | ||||
\(378\) | −12.1414 | − | 9.05556i | −0.624487 | − | 0.465768i | ||||
\(379\) | 19.0116 | − | 6.17725i | 0.976562 | − | 0.317304i | 0.223100 | − | 0.974796i | \(-0.428382\pi\) |
0.753462 | + | 0.657491i | \(0.228382\pi\) | |||||||
\(380\) | −4.29606 | − | 22.1165i | −0.220383 | − | 1.13455i | ||||
\(381\) | 9.45744 | + | 3.07291i | 0.484519 | + | 0.157430i | ||||
\(382\) | −3.55803 | + | 3.55803i | −0.182045 | + | 0.182045i | ||||
\(383\) | −9.67059 | − | 18.9796i | −0.494144 | − | 0.969813i | −0.994574 | − | 0.104035i | \(-0.966825\pi\) |
0.500429 | − | 0.865777i | \(-0.333175\pi\) | |||||||
\(384\) | −27.9815 | + | 20.3297i | −1.42792 | + | 1.03745i | ||||
\(385\) | −17.4028 | + | 3.15496i | −0.886927 | + | 0.160791i | ||||
\(386\) | 1.08458 | + | 0.787995i | 0.0552037 | + | 0.0401079i | ||||
\(387\) | −7.61161 | + | 48.0578i | −0.386920 | + | 2.44292i | ||||
\(388\) | 0.192469 | − | 1.21520i | 0.00977113 | − | 0.0616925i | ||||
\(389\) | −15.4924 | + | 21.3234i | −0.785495 | + | 1.08114i | 0.209159 | + | 0.977882i | \(0.432927\pi\) |
−0.994654 | + | 0.103260i | \(0.967073\pi\) | |||||||
\(390\) | −2.67075 | + | 9.30952i | −0.135239 | + | 0.471406i | ||||
\(391\) | −0.690767 | − | 0.950759i | −0.0349336 | − | 0.0480820i | ||||
\(392\) | −1.55228 | − | 11.6869i | −0.0784018 | − | 0.590279i | ||||
\(393\) | −17.6244 | − | 17.6244i | −0.889035 | − | 0.889035i | ||||
\(394\) | −5.17781 | − | 1.68237i | −0.260854 | − | 0.0847568i | ||||
\(395\) | 17.4195 | − | 9.65289i | 0.876472 | − | 0.485689i | ||||
\(396\) | −11.7889 | − | 36.2825i | −0.592414 | − | 1.82326i | ||||
\(397\) | 11.0445 | − | 21.6760i | 0.554306 | − | 1.08789i | −0.428551 | − | 0.903517i | \(-0.640976\pi\) |
0.982857 | − | 0.184369i | \(-0.0590241\pi\) | |||||||
\(398\) | −2.69856 | + | 0.427409i | −0.135266 | + | 0.0214241i | ||||
\(399\) | −7.91626 | + | 46.2290i | −0.396309 | + | 2.31435i | ||||
\(400\) | 7.58690 | − | 12.1346i | 0.379345 | − | 0.606732i | ||||
\(401\) | 16.0932 | 0.803655 | 0.401827 | − | 0.915715i | \(-0.368375\pi\) | ||||
0.401827 | + | 0.915715i | \(0.368375\pi\) | |||||||
\(402\) | −0.215534 | − | 1.36083i | −0.0107498 | − | 0.0678718i | ||||
\(403\) | 7.60335 | − | 14.9224i | 0.378750 | − | 0.743338i | ||||
\(404\) | 3.63800 | + | 11.1966i | 0.180997 | + | 0.557053i | ||||
\(405\) | −5.40612 | + | 43.9827i | −0.268632 | + | 2.18552i | ||||
\(406\) | −2.42217 | + | 4.61021i | −0.120210 | + | 0.228801i | ||||
\(407\) | 5.80251 | − | 5.80251i | 0.287620 | − | 0.287620i | ||||
\(408\) | 4.07908 | − | 2.07839i | 0.201945 | − | 0.102896i | ||||
\(409\) | 5.69426 | − | 4.13712i | 0.281563 | − | 0.204568i | −0.438036 | − | 0.898958i | \(-0.644326\pi\) |
0.719599 | + | 0.694390i | \(0.244326\pi\) | |||||||
\(410\) | −8.70919 | − | 5.87605i | −0.430116 | − | 0.290197i | ||||
\(411\) | 22.4696 | − | 30.9268i | 1.10834 | − | 1.52550i | ||||
\(412\) | −12.4760 | − | 1.97601i | −0.614650 | − | 0.0973510i | ||||
\(413\) | 0.0493992 | − | 0.145800i | 0.00243077 | − | 0.00717437i | ||||
\(414\) | 2.52618 | − | 3.47699i | 0.124155 | − | 0.170885i | ||||
\(415\) | 1.41210 | + | 1.80789i | 0.0693174 | + | 0.0887457i | ||||
\(416\) | −8.39831 | − | 11.5593i | −0.411761 | − | 0.566740i | ||||
\(417\) | −18.2799 | − | 35.8763i | −0.895171 | − | 1.75687i | ||||
\(418\) | 5.22755 | − | 5.22755i | 0.255688 | − | 0.255688i | ||||
\(419\) | 9.23428 | − | 28.4202i | 0.451124 | − | 1.38842i | −0.424502 | − | 0.905427i | \(-0.639551\pi\) |
0.875626 | − | 0.482990i | \(-0.160449\pi\) | |||||||
\(420\) | −26.9543 | + | 20.5155i | −1.31523 | + | 1.00105i | ||||
\(421\) | 9.81104 | + | 30.1953i | 0.478161 | + | 1.47163i | 0.841647 | + | 0.540028i | \(0.181586\pi\) |
−0.363486 | + | 0.931600i | \(0.618414\pi\) | |||||||
\(422\) | 4.26984 | + | 2.17559i | 0.207853 | + | 0.105906i | ||||
\(423\) | −12.1315 | + | 1.92144i | −0.589854 | + | 0.0934237i | ||||
\(424\) | 19.1741i | 0.931175i | ||||||||
\(425\) | −2.81012 | + | 3.23100i | −0.136311 | + | 0.156727i | ||||
\(426\) | − | 11.5062i | − | 0.557476i | ||||||
\(427\) | 0.205808 | − | 16.4435i | 0.00995975 | − | 0.795758i | ||||
\(428\) | 3.24247 | − | 6.36370i | 0.156731 | − | 0.307601i | ||||
\(429\) | 27.8142 | − | 9.03738i | 1.34288 | − | 0.436329i | ||||
\(430\) | −6.17144 | − | 2.87875i | −0.297613 | − | 0.138826i | ||||
\(431\) | −5.13268 | + | 15.7968i | −0.247233 | + | 0.760904i | 0.748029 | + | 0.663666i | \(0.231001\pi\) |
−0.995261 | + | 0.0972373i | \(0.968999\pi\) | |||||||
\(432\) | −26.1693 | − | 26.1693i | −1.25907 | − | 1.25907i | ||||
\(433\) | −6.10599 | − | 11.9837i | −0.293435 | − | 0.575899i | 0.696477 | − | 0.717579i | \(-0.254750\pi\) |
−0.989913 | + | 0.141680i | \(0.954750\pi\) | |||||||
\(434\) | −5.70717 | + | 2.81854i | −0.273953 | + | 0.135294i | ||||
\(435\) | 31.5327 | − | 1.09709i | 1.51187 | − | 0.0526017i | ||||
\(436\) | 25.7967 | + | 18.7424i | 1.23544 | + | 0.897599i | ||||
\(437\) | −7.56994 | − | 1.19896i | −0.362120 | − | 0.0573541i | ||||
\(438\) | 6.86749 | + | 1.08770i | 0.328142 | + | 0.0519725i | ||||
\(439\) | −27.6583 | − | 20.0949i | −1.32006 | − | 0.959079i | −0.999931 | − | 0.0117051i | \(-0.996274\pi\) |
−0.320128 | − | 0.947374i | \(-0.603726\pi\) | |||||||
\(440\) | 11.2520 | − | 0.391482i | 0.536416 | − | 0.0186632i | ||||
\(441\) | 47.4616 | − | 14.1181i | 2.26007 | − | 0.672291i | ||||
\(442\) | 0.530579 | + | 1.04132i | 0.0252371 | + | 0.0495305i | ||||
\(443\) | −25.4171 | − | 25.4171i | −1.20760 | − | 1.20760i | −0.971801 | − | 0.235804i | \(-0.924228\pi\) |
−0.235804 | − | 0.971801i | \(-0.575772\pi\) | |||||||
\(444\) | 4.85661 | − | 14.9471i | 0.230485 | − | 0.709359i | ||||
\(445\) | −20.2151 | − | 9.42959i | −0.958286 | − | 0.447006i | ||||
\(446\) | −9.25245 | + | 3.00630i | −0.438116 | + | 0.142353i | ||||
\(447\) | −4.43728 | + | 8.70865i | −0.209876 | + | 0.411905i | ||||
\(448\) | 0.121587 | − | 9.71444i | 0.00574443 | − | 0.458964i | ||||
\(449\) | − | 10.9088i | − | 0.514817i | −0.966303 | − | 0.257409i | \(-0.917131\pi\) | ||
0.966303 | − | 0.257409i | \(-0.0828687\pi\) | |||||||
\(450\) | −14.4134 | − | 6.12249i | −0.679454 | − | 0.288617i | ||||
\(451\) | 31.7249i | 1.49387i | ||||||||
\(452\) | −10.8365 | + | 1.71634i | −0.509707 | + | 0.0807296i | ||||
\(453\) | −29.7893 | − | 15.1784i | −1.39962 | − | 0.713143i | ||||
\(454\) | −2.03027 | − | 6.24852i | −0.0952851 | − | 0.293257i | ||||
\(455\) | −11.0436 | − | 14.5097i | −0.517733 | − | 0.680223i | ||||
\(456\) | 9.22621 | − | 28.3954i | 0.432057 | − | 1.32973i | ||||
\(457\) | 18.0865 | − | 18.0865i | 0.846053 | − | 0.846053i | −0.143585 | − | 0.989638i | \(-0.545863\pi\) |
0.989638 | + | 0.143585i | \(0.0458630\pi\) | |||||||
\(458\) | −5.89673 | − | 11.5730i | −0.275536 | − | 0.540770i | ||||
\(459\) | 6.50885 | + | 8.95867i | 0.303807 | + | 0.418155i | ||||
\(460\) | −3.40732 | − | 4.36233i | −0.158867 | − | 0.203395i | ||||
\(461\) | 13.1276 | − | 18.0685i | 0.611411 | − | 0.841535i | −0.385281 | − | 0.922799i | \(-0.625896\pi\) |
0.996693 | + | 0.0812637i | \(0.0258956\pi\) | |||||||
\(462\) | −10.5273 | − | 3.56680i | −0.489776 | − | 0.165943i | ||||
\(463\) | −19.9895 | − | 3.16603i | −0.928991 | − | 0.147138i | −0.326440 | − | 0.945218i | \(-0.605849\pi\) |
−0.602551 | + | 0.798080i | \(0.705849\pi\) | |||||||
\(464\) | −7.47938 | + | 10.2945i | −0.347222 | + | 0.477909i | ||||
\(465\) | 31.9684 | + | 21.5689i | 1.48250 | + | 1.00023i | ||||
\(466\) | 3.96295 | − | 2.87925i | 0.183580 | − | 0.133379i | ||||
\(467\) | −20.9396 | + | 10.6693i | −0.968970 | + | 0.493715i | −0.865495 | − | 0.500917i | \(-0.832996\pi\) |
−0.103475 | + | 0.994632i | \(0.532996\pi\) | |||||||
\(468\) | 27.8116 | − | 27.8116i | 1.28559 | − | 1.28559i | ||||
\(469\) | 2.29636 | + | 1.20649i | 0.106036 | + | 0.0557105i | ||||
\(470\) | 0.209718 | − | 1.70620i | 0.00967355 | − | 0.0787013i | ||||
\(471\) | 12.2233 | + | 37.6196i | 0.563222 | + | 1.73342i | ||||
\(472\) | −0.0444891 | + | 0.0873147i | −0.00204778 | + | 0.00401899i | ||||
\(473\) | 3.21683 | + | 20.3103i | 0.147910 | + | 0.933867i | ||||
\(474\) | 12.5159 | 0.574874 | ||||||||
\(475\) | 1.94090 | + | 27.8588i | 0.0890544 | + | 1.27825i | ||||
\(476\) | −0.689909 | + | 4.02890i | −0.0316219 | + | 0.184664i | ||||
\(477\) | −79.5408 | + | 12.5980i | −3.64192 | + | 0.576824i | ||||
\(478\) | −3.84497 | + | 7.54618i | −0.175865 | + | 0.345154i | ||||
\(479\) | 3.77957 | + | 11.6323i | 0.172693 | + | 0.531494i | 0.999521 | − | 0.0309613i | \(-0.00985687\pi\) |
−0.826828 | + | 0.562455i | \(0.809857\pi\) | |||||||
\(480\) | 28.7772 | − | 15.9467i | 1.31350 | − | 0.727862i | ||||
\(481\) | 8.04614 | + | 2.61435i | 0.366872 | + | 0.119204i | ||||
\(482\) | 1.76079 | + | 1.76079i | 0.0802017 | + | 0.0802017i | ||||
\(483\) | 3.42345 | + | 11.0030i | 0.155772 | + | 0.500653i | ||||
\(484\) | 2.18703 | + | 3.01019i | 0.0994106 | + | 0.136827i | ||||
\(485\) | −0.420549 | + | 1.46592i | −0.0190961 | + | 0.0665640i | ||||
\(486\) | −6.27442 | + | 8.63599i | −0.284613 | + | 0.391737i | ||||
\(487\) | −0.212746 | + | 1.34323i | −0.00964045 | + | 0.0608674i | −0.992040 | − | 0.125926i | \(-0.959810\pi\) |
0.982399 | + | 0.186794i | \(0.0598097\pi\) | |||||||
\(488\) | −1.63761 | + | 10.3395i | −0.0741313 | + | 0.468047i | ||||
\(489\) | 34.0767 | + | 24.7582i | 1.54100 | + | 1.11960i | ||||
\(490\) | 0.0675510 | + | 6.92987i | 0.00305164 | + | 0.313059i | ||||
\(491\) | −15.0688 | + | 10.9482i | −0.680048 | + | 0.494084i | −0.873373 | − | 0.487051i | \(-0.838073\pi\) |
0.193326 | + | 0.981135i | \(0.438073\pi\) | |||||||
\(492\) | 27.5846 | + | 54.1379i | 1.24361 | + | 2.44072i | ||||
\(493\) | 2.69222 | − | 2.69222i | 0.121251 | − | 0.121251i | ||||
\(494\) | 7.24885 | + | 2.35530i | 0.326141 | + | 0.105970i | ||||
\(495\) | 9.01693 | + | 46.4199i | 0.405281 | + | 2.08642i | ||||
\(496\) | −14.7916 | + | 4.80607i | −0.664161 | + | 0.215799i | ||||
\(497\) | 17.3651 | + | 12.9516i | 0.778930 | + | 0.580958i | ||||
\(498\) | 0.225529 | + | 1.42394i | 0.0101062 | + | 0.0638081i | ||||
\(499\) | 22.7838i | 1.01994i | 0.860191 | + | 0.509971i | \(0.170344\pi\) | ||||
−0.860191 | + | 0.509971i | \(0.829656\pi\) | |||||||
\(500\) | −12.6988 | + | 15.6694i | −0.567907 | + | 0.700755i | ||||
\(501\) | −21.3564 | −0.954134 | ||||||||
\(502\) | −1.36623 | − | 8.62601i | −0.0609776 | − | 0.384998i | ||||
\(503\) | −7.59633 | − | 3.87053i | −0.338704 | − | 0.172578i | 0.276363 | − | 0.961053i | \(-0.410871\pi\) |
−0.615067 | + | 0.788475i | \(0.710871\pi\) | |||||||
\(504\) | −31.1925 | + | 4.54099i | −1.38942 | + | 0.202272i | ||||
\(505\) | −2.78259 | − | 14.3250i | −0.123823 | − | 0.637453i | ||||
\(506\) | 0.561281 | − | 1.72744i | 0.0249520 | − | 0.0767942i | ||||
\(507\) | −7.85561 | − | 7.85561i | −0.348880 | − | 0.348880i | ||||
\(508\) | 5.03593 | − | 2.56593i | 0.223433 | − | 0.113845i | ||||
\(509\) | 22.4839 | − | 16.3355i | 0.996581 | − | 0.724059i | 0.0352289 | − | 0.999379i | \(-0.488784\pi\) |
0.961353 | + | 0.275320i | \(0.0887840\pi\) | |||||||
\(510\) | −2.52892 | + | 0.920085i | −0.111983 | + | 0.0407420i | ||||
\(511\) | −9.37174 | + | 9.14005i | −0.414581 | + | 0.404332i | ||||
\(512\) | −3.58389 | + | 22.6278i | −0.158387 | + | 1.00002i | ||||
\(513\) | 71.3289 | + | 11.2974i | 3.14925 | + | 0.498792i | ||||
\(514\) | −1.40130 | − | 1.01810i | −0.0618087 | − | 0.0449067i | ||||
\(515\) | 15.0501 | + | 4.31762i | 0.663185 | + | 0.190257i | ||||
\(516\) | 23.1491 | + | 31.8620i | 1.01908 | + | 1.40265i | ||||
\(517\) | −4.62516 | + | 2.35664i | −0.203414 | + | 0.103645i | ||||
\(518\) | −1.85727 | − | 2.62477i | −0.0816036 | − | 0.115326i | ||||
\(519\) | −21.4494 | − | 6.96935i | −0.941526 | − | 0.305920i | ||||
\(520\) | 5.62615 | + | 10.1529i | 0.246723 | + | 0.445235i | ||||
\(521\) | 42.5775 | − | 13.8343i | 1.86535 | − | 0.606090i | 0.872219 | − | 0.489116i | \(-0.162681\pi\) |
0.993135 | − | 0.116974i | \(-0.0373194\pi\) | |||||||
\(522\) | 12.4062 | + | 6.32128i | 0.543005 | + | 0.276675i | ||||
\(523\) | 32.7999 | − | 5.19499i | 1.43424 | − | 0.227161i | 0.609550 | − | 0.792748i | \(-0.291350\pi\) |
0.824689 | + | 0.565587i | \(0.191350\pi\) | |||||||
\(524\) | −14.1665 | −0.618865 | ||||||||
\(525\) | 36.2633 | − | 21.1636i | 1.58266 | − | 0.923654i | ||||
\(526\) | −5.76956 | −0.251565 | ||||||||
\(527\) | 4.59627 | − | 0.727978i | 0.200217 | − | 0.0317112i | ||||
\(528\) | −24.1987 | − | 12.3298i | −1.05311 | − | 0.536587i | ||||
\(529\) | 20.0834 | − | 6.52550i | 0.873193 | − | 0.283718i | ||||
\(530\) | 1.37502 | − | 11.1868i | 0.0597272 | − | 0.485924i | ||||
\(531\) | −0.391443 | − | 0.127188i | −0.0169872 | − | 0.00551947i | ||||
\(532\) | 15.3979 | + | 21.7609i | 0.667582 | + | 0.943455i | ||||
\(533\) | −29.1428 | + | 14.8490i | −1.26231 | + | 0.643181i | ||||
\(534\) | −8.23984 | − | 11.3412i | −0.356573 | − | 0.490781i | ||||
\(535\) | −4.95141 | + | 7.33874i | −0.214068 | + | 0.317281i | ||||
\(536\) | −1.33592 | − | 0.970600i | −0.0577028 | − | 0.0419236i | ||||
\(537\) | 36.8883 | + | 5.84254i | 1.59185 | + | 0.252124i | ||||
\(538\) | −0.495100 | + | 3.12594i | −0.0213453 | + | 0.134769i | ||||
\(539\) | 17.2328 | − | 11.8729i | 0.742267 | − | 0.511403i | ||||
\(540\) | 32.1060 | + | 41.1047i | 1.38162 | + | 1.76886i | ||||
\(541\) | −7.16628 | + | 5.20661i | −0.308103 | + | 0.223850i | −0.731082 | − | 0.682290i | \(-0.760984\pi\) |
0.422979 | + | 0.906139i | \(0.360984\pi\) | |||||||
\(542\) | 0.853895 | − | 0.435081i | 0.0366779 | − | 0.0186883i | ||||
\(543\) | 36.2196 | + | 36.2196i | 1.55433 | + | 1.55433i | ||||
\(544\) | 1.22683 | − | 3.77578i | 0.0525998 | − | 0.161885i | ||||
\(545\) | −28.9027 | − | 26.9591i | −1.23805 | − | 1.15480i | ||||
\(546\) | −1.65087 | − | 11.3400i | −0.0706507 | − | 0.485305i | ||||
\(547\) | 11.0624 | + | 5.63659i | 0.472995 | + | 0.241003i | 0.674204 | − | 0.738545i | \(-0.264487\pi\) |
−0.201209 | + | 0.979548i | \(0.564487\pi\) | |||||||
\(548\) | −3.39892 | − | 21.4599i | −0.145195 | − | 0.916723i | ||||
\(549\) | −43.9678 | −1.87650 | ||||||||
\(550\) | −6.59285 | − | 0.578504i | −0.281120 | − | 0.0246675i | ||||
\(551\) | − | 24.8305i | − | 1.05781i | ||||||
\(552\) | −1.14751 | − | 7.24512i | −0.0488414 | − | 0.308373i | ||||
\(553\) | −14.0881 | + | 18.8889i | −0.599088 | + | 0.803238i | ||||
\(554\) | −11.3284 | + | 3.68082i | −0.481297 | + | 0.156383i | ||||
\(555\) | −8.23522 | + | 17.6546i | −0.349565 | + | 0.749394i | ||||
\(556\) | −21.7653 | − | 7.07198i | −0.923055 | − | 0.299919i | ||||
\(557\) | 19.7643 | − | 19.7643i | 0.837438 | − | 0.837438i | −0.151083 | − | 0.988521i | \(-0.548276\pi\) |
0.988521 | + | 0.151083i | \(0.0482760\pi\) | |||||||
\(558\) | 7.72620 | + | 15.1635i | 0.327076 | + | 0.641923i | ||||
\(559\) | −17.1515 | + | 12.4613i | −0.725433 | + | 0.527058i | ||||
\(560\) | −2.27598 | + | 16.7796i | −0.0961775 | + | 0.709067i | ||||
\(561\) | 6.57425 | + | 4.77647i | 0.277565 | + | 0.201663i | ||||
\(562\) | 1.73636 | − | 10.9629i | 0.0732437 | − | 0.462443i | ||||
\(563\) | −3.79742 | + | 23.9760i | −0.160042 | + | 1.01047i | 0.768664 | + | 0.639652i | \(0.220922\pi\) |
−0.928707 | + | 0.370815i | \(0.879078\pi\) | |||||||
\(564\) | −5.84366 | + | 8.04311i | −0.246062 | + | 0.338676i | ||||
\(565\) | 13.5914 | − | 0.472875i | 0.571793 | − | 0.0198940i | ||||
\(566\) | 4.25029 | + | 5.85002i | 0.178653 | + | 0.245895i | ||||
\(567\) | −15.5772 | − | 50.0653i | −0.654182 | − | 2.10255i | ||||
\(568\) | −9.75115 | − | 9.75115i | −0.409149 | − | 0.409149i | ||||
\(569\) | 21.2622 | + | 6.90849i | 0.891356 | + | 0.289619i | 0.718665 | − | 0.695357i | \(-0.244754\pi\) |
0.172691 | + | 0.984976i | \(0.444754\pi\) | |||||||
\(570\) | −7.41920 | + | 15.9052i | −0.310756 | + | 0.666195i | ||||
\(571\) | −3.46064 | − | 10.6507i | −0.144823 | − | 0.445720i | 0.852165 | − | 0.523273i | \(-0.175289\pi\) |
−0.996988 | + | 0.0775532i | \(0.975289\pi\) | |||||||
\(572\) | 7.54638 | − | 14.8106i | 0.315530 | − | 0.619263i | ||||
\(573\) | −35.6270 | + | 5.64277i | −1.48834 | + | 0.235730i | ||||
\(574\) | 12.2526 | + | 2.09814i | 0.511415 | + | 0.0875747i | ||||
\(575\) | 3.53226 | + | 5.88208i | 0.147305 | + | 0.245300i | ||||
\(576\) | −25.9752 | −1.08230 | ||||||||
\(577\) | −6.29545 | − | 39.7479i | −0.262083 | − | 1.65473i | −0.670484 | − | 0.741924i | \(-0.733914\pi\) |
0.408402 | − | 0.912802i | \(-0.366086\pi\) | |||||||
\(578\) | 3.26968 | − | 6.41710i | 0.136001 | − | 0.266916i | ||||
\(579\) | 2.96976 | + | 9.13999i | 0.123419 | + | 0.379845i | ||||
\(580\) | 12.2320 | − | 13.1139i | 0.507907 | − | 0.544523i | ||||
\(581\) | −2.40286 | − | 1.26244i | −0.0996874 | − | 0.0523749i | ||||
\(582\) | −0.677711 | + | 0.677711i | −0.0280920 | + | 0.0280920i | ||||
\(583\) | −30.3251 | + | 15.4514i | −1.25594 | + | 0.639932i | ||||
\(584\) | 6.74179 | − | 4.89820i | 0.278977 | − | 0.202689i | ||||
\(585\) | −38.4213 | + | 30.0101i | −1.58853 | + | 1.24076i | ||||
\(586\) | 5.97249 | − | 8.22043i | 0.246721 | − | 0.339583i | ||||
\(587\) | 32.8107 | + | 5.19670i | 1.35424 | + | 0.214491i | 0.791008 | − | 0.611806i | \(-0.209557\pi\) |
0.563235 | + | 0.826297i | \(0.309557\pi\) | |||||||
\(588\) | 19.0839 | − | 35.2447i | 0.787007 | − | 1.45347i | ||||
\(589\) | 17.8388 | − | 24.5529i | 0.735033 | − | 1.01169i | ||||
\(590\) | 0.0322180 | − | 0.0477520i | 0.00132639 | − | 0.00196592i | ||||
\(591\) | −22.9400 | − | 31.5742i | −0.943626 | − | 1.29879i | ||||
\(592\) | −3.56679 | − | 7.00022i | −0.146594 | − | 0.287707i | ||||
\(593\) | −32.3722 | + | 32.3722i | −1.32937 | + | 1.32937i | −0.423445 | + | 0.905922i | \(0.639179\pi\) |
−0.905922 | + | 0.423445i | \(0.860821\pi\) | |||||||
\(594\) | −5.28875 | + | 16.2771i | −0.217000 | + | 0.667857i | ||||
\(595\) | 1.45802 | − | 4.85230i | 0.0597728 | − | 0.198925i | ||||
\(596\) | 1.71666 | + | 5.28333i | 0.0703170 | + | 0.216414i | ||||
\(597\) | −17.4513 | − | 8.89188i | −0.714234 | − | 0.363920i | ||||
\(598\) | 1.84956 | − | 0.292941i | 0.0756340 | − | 0.0119792i | ||||
\(599\) | − | 21.7950i | − | 0.890520i | −0.895401 | − | 0.445260i | \(-0.853111\pi\) | ||
0.895401 | − | 0.445260i | \(-0.146889\pi\) | |||||||
\(600\) | −24.7844 | + | 10.0061i | −1.01182 | + | 0.408499i | ||||
\(601\) | − | 27.7666i | − | 1.13262i | −0.824191 | − | 0.566312i | \(-0.808370\pi\) | ||
0.824191 | − | 0.566312i | \(-0.191630\pi\) | |||||||
\(602\) | 8.05687 | + | 0.100840i | 0.328374 | + | 0.00410995i | ||||
\(603\) | 3.14865 | − | 6.17957i | 0.128223 | − | 0.251652i | ||||
\(604\) | −18.0725 | + | 5.87210i | −0.735358 | + | 0.238932i | ||||
\(605\) | −2.23544 | − | 4.03406i | −0.0908836 | − | 0.164008i | ||||
\(606\) | 2.83396 | − | 8.72203i | 0.115122 | − | 0.354308i | ||||
\(607\) | −24.6559 | − | 24.6559i | −1.00075 | − | 1.00075i | −1.00000 | 0.000750532i | \(-0.999761\pi\) | |
−0.000750532 | − | 1.00000i | \(-0.500239\pi\) | |||||||
\(608\) | −11.7546 | − | 23.0697i | −0.476712 | − | 0.935599i | ||||
\(609\) | −33.4730 | + | 16.5310i | −1.35640 | + | 0.669869i | ||||
\(610\) | 1.69691 | − | 5.91497i | 0.0687060 | − | 0.239490i | ||||
\(611\) | −4.32966 | − | 3.14568i | −0.175159 | − | 0.127261i | ||||
\(612\) | 10.7942 | + | 1.70963i | 0.436328 | + | 0.0691075i | ||||
\(613\) | −46.5842 | − | 7.37822i | −1.88152 | − | 0.298003i | −0.893113 | − | 0.449833i | \(-0.851484\pi\) |
−0.988407 | + | 0.151829i | \(0.951484\pi\) | |||||||
\(614\) | −1.99974 | − | 1.45290i | −0.0807029 | − | 0.0586341i | ||||
\(615\) | −25.7499 | − | 70.7754i | −1.03833 | − | 2.85394i | ||||
\(616\) | −11.9444 | + | 5.89884i | −0.481252 | + | 0.237671i | ||||
\(617\) | 14.1085 | + | 27.6895i | 0.567987 | + | 1.11474i | 0.979143 | + | 0.203172i | \(0.0651250\pi\) |
−0.411156 | + | 0.911565i | \(0.634875\pi\) | |||||||
\(618\) | 6.95781 | + | 6.95781i | 0.279884 | + | 0.279884i | ||||
\(619\) | −10.2075 | + | 31.4153i | −0.410272 | + | 1.26269i | 0.506140 | + | 0.862451i | \(0.331072\pi\) |
−0.916412 | + | 0.400236i | \(0.868928\pi\) | |||||||
\(620\) | 21.5166 | − | 4.17954i | 0.864127 | − | 0.167854i | ||||
\(621\) | 16.8747 | − | 5.48293i | 0.677159 | − | 0.220022i | ||||
\(622\) | 2.22503 | − | 4.36687i | 0.0892157 | − | 0.175096i | ||||
\(623\) | 26.3910 | + | 0.330311i | 1.05733 | + | 0.0132336i | ||||
\(624\) | − | 28.0001i | − | 1.12090i | ||||||
\(625\) | 17.9924 | − | 17.3572i | 0.719696 | − | 0.694289i | ||||
\(626\) | 14.0299i | 0.560747i | ||||||||
\(627\) | 52.3441 | − | 8.29050i | 2.09042 | − | 0.331091i | ||||
\(628\) | 20.0318 | + | 10.2067i | 0.799356 | + | 0.407292i | ||||
\(629\) | 0.726426 | + | 2.23571i | 0.0289645 | + | 0.0891436i | ||||
\(630\) | 18.5244 | − | 0.412475i | 0.738030 | − | 0.0164334i | ||||
\(631\) | −0.569361 | + | 1.75231i | −0.0226659 | + | 0.0697584i | −0.961750 | − | 0.273930i | \(-0.911676\pi\) |
0.939084 | + | 0.343688i | \(0.111676\pi\) | |||||||
\(632\) | 10.6068 | − | 10.6068i | 0.421917 | − | 0.421917i | ||||
\(633\) | 15.5960 | + | 30.6088i | 0.619885 | + | 1.21659i | ||||
\(634\) | 7.00783 | + | 9.64545i | 0.278316 | + | 0.383070i | ||||
\(635\) | −6.58356 | + | 2.39526i | −0.261261 | + | 0.0950531i | ||||
\(636\) | −38.3142 | + | 52.7350i | −1.51926 | + | 2.09108i | ||||
\(637\) | 18.9725 | + | 10.2730i | 0.751716 | + | 0.407031i | ||||
\(638\) | 5.81205 | + | 0.920539i | 0.230101 | + | 0.0364445i | ||||
\(639\) | 34.0444 | − | 46.8580i | 1.34677 | − | 1.85368i | ||||
\(640\) | 6.71944 | − | 23.4221i | 0.265609 | − | 0.925841i | ||||
\(641\) | −12.4103 | + | 9.01658i | −0.490176 | + | 0.356133i | −0.805252 | − | 0.592933i | \(-0.797970\pi\) |
0.315076 | + | 0.949066i | \(0.397970\pi\) | |||||||
\(642\) | −4.95725 | + | 2.52584i | −0.195647 | + | 0.0996871i | ||||
\(643\) | −4.15929 | + | 4.15929i | −0.164027 | + | 0.164027i | −0.784348 | − | 0.620321i | \(-0.787002\pi\) |
0.620321 | + | 0.784348i | \(0.287002\pi\) | |||||||
\(644\) | 5.79796 | + | 3.04620i | 0.228472 | + | 0.120037i | ||||
\(645\) | −23.6615 | − | 42.6994i | −0.931671 | − | 1.68129i | ||||
\(646\) | 0.654445 | + | 2.01418i | 0.0257488 | + | 0.0792467i | ||||
\(647\) | −12.4207 | + | 24.3771i | −0.488310 | + | 0.958362i | 0.507029 | + | 0.861929i | \(0.330744\pi\) |
−0.995339 | + | 0.0964335i | \(0.969256\pi\) | |||||||
\(648\) | 5.22137 | + | 32.9665i | 0.205115 | + | 1.29504i | ||||
\(649\) | −0.173946 | −0.00682796 | ||||||||
\(650\) | −2.55440 | − | 6.32703i | −0.100192 | − | 0.248166i | ||||
\(651\) | −44.9751 | − | 7.70154i | −1.76271 | − | 0.301847i | ||||
\(652\) | 23.6457 | − | 3.74511i | 0.926036 | − | 0.146670i | ||||
\(653\) | −9.49843 | + | 18.6417i | −0.371702 | + | 0.729507i | −0.998776 | − | 0.0494529i | \(-0.984252\pi\) |
0.627074 | + | 0.778959i | \(0.284252\pi\) | |||||||
\(654\) | −7.67574 | − | 23.6235i | −0.300145 | − | 0.923751i | ||||
\(655\) | 17.4286 | + | 2.14223i | 0.680990 | + | 0.0837037i | ||||
\(656\) | 28.8873 | + | 9.38604i | 1.12786 | + | 0.366463i | ||||
\(657\) | 24.7491 | + | 24.7491i | 0.965553 | + | 0.965553i | ||||
\(658\) | 0.604282 | + | 1.94216i | 0.0235574 | + | 0.0757134i | ||||
\(659\) | 5.15199 | + | 7.09111i | 0.200693 | + | 0.276230i | 0.897487 | − | 0.441041i | \(-0.145391\pi\) |
−0.696794 | + | 0.717272i | \(0.745391\pi\) | |||||||
\(660\) | 31.7289 | + | 21.4073i | 1.23504 | + | 0.833279i | ||||
\(661\) | −14.7218 | + | 20.2629i | −0.572613 | + | 0.788134i | −0.992861 | − | 0.119275i | \(-0.961943\pi\) |
0.420248 | + | 0.907409i | \(0.361943\pi\) | |||||||
\(662\) | −0.610073 | + | 3.85185i | −0.0237112 | + | 0.149706i | ||||
\(663\) | −1.31060 | + | 8.27481i | −0.0508995 | + | 0.321367i | ||||
\(664\) | 1.39787 | + | 1.01561i | 0.0542480 | + | 0.0394135i | ||||
\(665\) | −15.6528 | − | 29.1002i | −0.606991 | − | 1.12846i | ||||
\(666\) | −6.95505 | + | 5.05314i | −0.269503 | + | 0.195805i | ||||
\(667\) | −2.76959 | − | 5.43563i | −0.107239 | − | 0.210469i | ||||
\(668\) | −8.58311 | + | 8.58311i | −0.332091 | + | 0.332091i | ||||
\(669\) | −66.3272 | − | 21.5510i | −2.56436 | − | 0.833210i | ||||
\(670\) | 0.709815 | + | 0.662084i | 0.0274226 | + | 0.0255785i | ||||
\(671\) | −17.6723 | + | 5.74207i | −0.682231 | + | 0.221670i | ||||
\(672\) | −23.2737 | + | 31.2047i | −0.897803 | + | 1.20375i | ||||
\(673\) | −0.908113 | − | 5.73360i | −0.0350052 | − | 0.221014i | 0.963984 | − | 0.265959i | \(-0.0856887\pi\) |
−0.998989 | + | 0.0449453i | \(0.985689\pi\) | |||||||
\(674\) | − | 2.47138i | − | 0.0951941i | ||||||
\(675\) | −33.2832 | − | 55.4248i | −1.28107 | − | 2.13330i | ||||
\(676\) | −6.31432 | −0.242858 | ||||||||
\(677\) | −0.858091 | − | 5.41777i | −0.0329791 | − | 0.208222i | 0.965696 | − | 0.259674i | \(-0.0836151\pi\) |
−0.998675 | + | 0.0514520i | \(0.983615\pi\) | |||||||
\(678\) | 7.61521 | + | 3.88014i | 0.292460 | + | 0.149016i | ||||
\(679\) | −0.259953 | − | 1.78564i | −0.00997609 | − | 0.0685266i | ||||
\(680\) | −1.36344 | + | 2.92293i | −0.0522856 | + | 0.112089i | ||||
\(681\) | 14.5542 | − | 44.7932i | 0.557718 | − | 1.71648i | ||||
\(682\) | 5.08576 | + | 5.08576i | 0.194744 | + | 0.194744i | ||||
\(683\) | −7.85213 | + | 4.00086i | −0.300454 | + | 0.153089i | −0.597718 | − | 0.801706i | \(-0.703926\pi\) |
0.297264 | + | 0.954795i | \(0.403926\pi\) | |||||||
\(684\) | 57.6615 | − | 41.8935i | 2.20474 | − | 1.60184i | ||||
\(685\) | 0.936451 | + | 26.9154i | 0.0357800 | + | 1.02839i | ||||
\(686\) | −3.44581 | − | 7.44077i | −0.131562 | − | 0.284090i | ||||
\(687\) | 14.5657 | − | 91.9644i | 0.555717 | − | 3.50866i | ||||
\(688\) | 19.4453 | + | 3.07984i | 0.741346 | + | 0.117418i | ||||
\(689\) | −28.3876 | − | 20.6248i | −1.08148 | − | 0.785742i | ||||
\(690\) | 0.149932 | + | 4.30934i | 0.00570782 | + | 0.164054i | ||||
\(691\) | 13.7324 | + | 18.9010i | 0.522405 | + | 0.719029i | 0.985949 | − | 0.167045i | \(-0.0534225\pi\) |
−0.463544 | + | 0.886074i | \(0.653423\pi\) | |||||||
\(692\) | −11.4215 | + | 5.81953i | −0.434179 | + | 0.221225i | ||||
\(693\) | −32.3183 | − | 45.6736i | −1.22767 | − | 1.73500i | ||||
\(694\) | −9.50993 | − | 3.08996i | −0.360992 | − | 0.117293i | ||||
\(695\) | 25.7078 | + | 11.9917i | 0.975151 | + | 0.454873i | ||||
\(696\) | 22.6018 | − | 7.34379i | 0.856721 | − | 0.278365i | ||||
\(697\) | −8.09765 | − | 4.12596i | −0.306720 | − | 0.156282i | ||||
\(698\) | 1.17232 | − | 0.185677i | 0.0443729 | − | 0.00702798i | ||||
\(699\) | 35.1152 | 1.32818 | ||||||||
\(700\) | 6.06855 | − | 23.0798i | 0.229370 | − | 0.872333i | ||||
\(701\) | −26.2540 | −0.991601 | −0.495800 | − | 0.868437i | \(-0.665125\pi\) | ||||
−0.495800 | + | 0.868437i | \(0.665125\pi\) | |||||||
\(702\) | −17.4277 | + | 2.76028i | −0.657766 | + | 0.104180i | ||||
\(703\) | 13.6600 | + | 6.96010i | 0.515196 | + | 0.262505i | ||||
\(704\) | −10.4404 | + | 3.39228i | −0.393486 | + | 0.127851i | ||||
\(705\) | 8.40553 | − | 9.01151i | 0.316571 | − | 0.339393i | ||||
\(706\) | −12.0303 | − | 3.90887i | −0.452765 | − | 0.147112i | ||||
\(707\) | 9.97329 | + | 14.0947i | 0.375084 | + | 0.530085i | ||||
\(708\) | −0.296835 | + | 0.151245i | −0.0111557 | + | 0.00568413i | ||||
\(709\) | 14.7378 | + | 20.2849i | 0.553490 | + | 0.761814i | 0.990481 | − | 0.137652i | \(-0.0439557\pi\) |
−0.436991 | + | 0.899466i | \(0.643956\pi\) | |||||||
\(710\) | 4.98987 | + | 6.38843i | 0.187267 | + | 0.239754i | ||||
\(711\) | 50.9700 | + | 37.0318i | 1.91152 | + | 1.38880i | ||||
\(712\) | −16.5943 | − | 2.62828i | −0.621899 | − | 0.0984991i | ||||
\(713\) | 1.16644 | − | 7.36462i | 0.0436836 | − | 0.275807i | ||||
\(714\) | 2.27953 | − | 2.22318i | 0.0853094 | − | 0.0832004i | ||||
\(715\) | −11.5237 | + | 17.0799i | −0.430962 | + | 0.638751i | ||||
\(716\) | 17.1735 | − | 12.4773i | 0.641803 | − | 0.466297i | ||||
\(717\) | −54.0957 | + | 27.5631i | −2.02024 | + | 1.02936i | ||||
\(718\) | −2.37127 | − | 2.37127i | −0.0884950 | − | 0.0884950i | ||||
\(719\) | 1.82953 | − | 5.63072i | 0.0682300 | − | 0.209990i | −0.911128 | − | 0.412123i | \(-0.864787\pi\) |
0.979358 | + | 0.202133i | \(0.0647873\pi\) | |||||||
\(720\) | 44.9356 | + | 5.52325i | 1.67465 | + | 0.205839i | ||||
\(721\) | −18.3325 | + | 2.66885i | −0.682739 | + | 0.0993930i | ||||
\(722\) | 4.81098 | + | 2.45132i | 0.179046 | + | 0.0912286i | ||||
\(723\) | 2.79248 | + | 17.6310i | 0.103853 | + | 0.655704i | ||||
\(724\) | 29.1132 | 1.08198 | ||||||||
\(725\) | −17.0317 | + | 14.2839i | −0.632542 | + | 0.530489i | ||||
\(726\) | − | 2.89846i | − | 0.107572i | ||||||
\(727\) | −0.672407 | − | 4.24541i | −0.0249382 | − | 0.157454i | 0.972077 | − | 0.234663i | \(-0.0753988\pi\) |
−0.997015 | + | 0.0772100i | \(0.975399\pi\) | |||||||
\(728\) | −11.0093 | − | 8.21121i | −0.408033 | − | 0.304328i | ||||
\(729\) | −16.2341 | + | 5.27477i | −0.601262 | + | 0.195362i | ||||
\(730\) | −4.28466 | + | 2.37431i | −0.158582 | + | 0.0878770i | ||||
\(731\) | −5.60247 | − | 1.82035i | −0.207215 | − | 0.0673282i | ||||
\(732\) | −25.1647 | + | 25.1647i | −0.930113 | + | 0.930113i | ||||
\(733\) | 1.43780 | + | 2.82184i | 0.0531063 | + | 0.104227i | 0.916034 | − | 0.401100i | \(-0.131372\pi\) |
−0.862928 | + | 0.505327i | \(0.831372\pi\) | |||||||
\(734\) | −12.0734 | + | 8.77185i | −0.445638 | + | 0.323775i | ||||
\(735\) | −28.8080 | + | 40.4746i | −1.06260 | + | 1.49293i | ||||
\(736\) | −5.14639 | − | 3.73907i | −0.189699 | − | 0.137824i | ||||
\(737\) | 0.458523 | − | 2.89500i | 0.0168899 | − | 0.106639i | ||||
\(738\) | 5.19929 | − | 32.8270i | 0.191388 | − | 1.20838i | ||||
\(739\) | 3.02368 | − | 4.16174i | 0.111228 | − | 0.153092i | −0.749774 | − | 0.661694i | \(-0.769838\pi\) |
0.861002 | + | 0.508602i | \(0.169838\pi\) | |||||||
\(740\) | 3.78562 | + | 10.4051i | 0.139162 | + | 0.382498i | ||||
\(741\) | 32.1157 | + | 44.2034i | 1.17980 | + | 1.62385i | ||||
\(742\) | 3.96200 | + | 12.7339i | 0.145450 | + | 0.467476i | ||||
\(743\) | 9.62030 | + | 9.62030i | 0.352935 | + | 0.352935i | 0.861200 | − | 0.508266i | \(-0.169713\pi\) |
−0.508266 | + | 0.861200i | \(0.669713\pi\) | |||||||
\(744\) | 27.6252 | + | 8.97596i | 1.01279 | + | 0.329075i | ||||
\(745\) | −1.31301 | − | 6.75950i | −0.0481051 | − | 0.247649i | ||||
\(746\) | 2.66610 | + | 8.20540i | 0.0976128 | + | 0.300421i | ||||
\(747\) | −3.29468 | + | 6.46617i | −0.120546 | + | 0.236585i | ||||
\(748\) | 4.56184 | − | 0.722524i | 0.166797 | − | 0.0264181i | ||||
\(749\) | 1.76798 | − | 10.3246i | 0.0646007 | − | 0.377252i | ||||
\(750\) | 15.1776 | − | 4.06057i | 0.554208 | − | 0.148271i | ||||
\(751\) | 24.2819 | 0.886058 | 0.443029 | − | 0.896507i | \(-0.353904\pi\) | ||||
0.443029 | + | 0.896507i | \(0.353904\pi\) | |||||||
\(752\) | 0.777460 | + | 4.90869i | 0.0283511 | + | 0.179002i | ||||
\(753\) | 28.4231 | − | 55.7835i | 1.03580 | − | 2.03286i | ||||
\(754\) | 1.87474 | + | 5.76987i | 0.0682741 | + | 0.210126i | ||||
\(755\) | 23.1219 | − | 4.49137i | 0.841493 | − | 0.163458i | ||||
\(756\) | −54.6321 | − | 28.7033i | −1.98695 | − | 1.04393i | ||||
\(757\) | −4.83512 | + | 4.83512i | −0.175736 | + | 0.175736i | −0.789494 | − | 0.613758i | \(-0.789657\pi\) |
0.613758 | + | 0.789494i | \(0.289657\pi\) | |||||||
\(758\) | −7.88599 | + | 4.01811i | −0.286432 | + | 0.145944i | ||||
\(759\) | 10.5339 | − | 7.65335i | 0.382357 | − | 0.277799i | ||||
\(760\) | 7.19163 | + | 19.7667i | 0.260868 | + | 0.717014i | ||||
\(761\) | −18.0919 | + | 24.9013i | −0.655830 | + | 0.902672i | −0.999334 | − | 0.0364788i | \(-0.988386\pi\) |
0.343505 | + | 0.939151i | \(0.388386\pi\) | |||||||
\(762\) | −4.34860 | − | 0.688751i | −0.157533 | − | 0.0249508i | ||||
\(763\) | 44.2924 | + | 15.0069i | 1.60349 | + | 0.543285i | ||||
\(764\) | −12.0506 | + | 16.5863i | −0.435977 | + | 0.600071i | ||||
\(765\) | −13.0212 | − | 3.73557i | −0.470782 | − | 0.135060i | ||||
\(766\) | 5.54354 | + | 7.63003i | 0.200296 | + | 0.275684i | ||||
\(767\) | −0.0814161 | − | 0.159788i | −0.00293977 | − | 0.00576961i | ||||
\(768\) | −5.65390 | + | 5.65390i | −0.204017 | + | 0.204017i | ||||
\(769\) | 15.2426 | − | 46.9119i | 0.549662 | − | 1.69169i | −0.159976 | − | 0.987121i | \(-0.551142\pi\) |
0.709639 | − | 0.704566i | \(-0.248858\pi\) | |||||||
\(770\) | 7.39177 | − | 2.58502i | 0.266381 | − | 0.0931577i | ||||
\(771\) | −3.83699 | − | 11.8090i | −0.138186 | − | 0.425292i | ||||
\(772\) | 4.86690 | + | 2.47981i | 0.175163 | + | 0.0892502i | ||||
\(773\) | −3.51573 | + | 0.556836i | −0.126452 | + | 0.0200280i | −0.219340 | − | 0.975649i | \(-0.570390\pi\) |
0.0928877 | + | 0.995677i | \(0.470390\pi\) | |||||||
\(774\) | − | 21.5430i | − | 0.774348i | ||||||
\(775\) | −27.1032 | + | 1.88825i | −0.973575 | + | 0.0678280i | ||||
\(776\) | 1.14868i | 0.0412352i | ||||||||
\(777\) | 0.288473 | − | 23.0482i | 0.0103489 | − | 0.826850i | ||||
\(778\) | 5.29796 | − | 10.3978i | 0.189941 | − | 0.372780i | ||||
\(779\) | −56.3695 | + | 18.3156i | −2.01965 | + | 0.656223i | ||||
\(780\) | −4.81411 | + | 39.1662i | −0.172373 | + | 1.40238i | ||||
\(781\) | 7.56415 | − | 23.2801i | 0.270666 | − | 0.833026i | ||||
\(782\) | 0.367926 | + | 0.367926i | 0.0131570 | + | 0.0131570i | ||||
\(783\) | 26.0969 | + | 51.2180i | 0.932627 | + | 1.83038i | ||||
\(784\) | −5.71252 | − | 19.2041i | −0.204018 | − | 0.685859i | ||||
\(785\) | −23.1010 | − | 15.5862i | −0.824512 | − | 0.556294i | ||||
\(786\) | 8.92792 | + | 6.48651i | 0.318448 | + | 0.231366i | ||||
\(787\) | 43.2919 | + | 6.85676i | 1.54319 | + | 0.244417i | 0.869251 | − | 0.494371i | \(-0.164601\pi\) |
0.673938 | + | 0.738788i | \(0.264601\pi\) | |||||||
\(788\) | −21.9092 | − | 3.47008i | −0.780483 | − | 0.123616i | ||||
\(789\) | −33.4607 | − | 24.3107i | −1.19123 | − | 0.865482i | ||||
\(790\) | −6.94904 | + | 5.42775i | −0.247236 | + | 0.193111i | ||||
\(791\) | −14.4277 | + | 7.12527i | −0.512990 | + | 0.253345i | ||||
\(792\) | 16.1699 | + | 31.7353i | 0.574573 | + | 1.12766i | ||||
\(793\) | −13.5463 | − | 13.5463i | −0.481044 | − | 0.481044i | ||||
\(794\) | −3.32846 | + | 10.2439i | −0.118122 | + | 0.363544i | ||||
\(795\) | 55.1113 | − | 59.0844i | 1.95459 | − | 2.09551i | ||||
\(796\) | −10.5873 | + | 3.44002i | −0.375256 | + | 0.121928i | ||||
\(797\) | −6.92880 | + | 13.5985i | −0.245431 | + | 0.481685i | −0.980554 | − | 0.196248i | \(-0.937124\pi\) |
0.735124 | + | 0.677933i | \(0.237124\pi\) | |||||||
\(798\) | 0.259888 | − | 20.7644i | 0.00919995 | − | 0.735051i | ||||
\(799\) | − | 1.48704i | − | 0.0526078i | ||||||
\(800\) | −9.06206 | + | 21.3337i | −0.320392 | + | 0.754259i | ||||
\(801\) | − | 70.5660i | − | 2.49333i | ||||||
\(802\) | −7.03759 | + | 1.11465i | −0.248506 | + | 0.0393595i | ||||
\(803\) | 13.1797 | + | 6.71540i | 0.465102 | + | 0.236981i | ||||
\(804\) | −1.73473 | − | 5.33894i | −0.0611791 | − | 0.188290i | ||||
\(805\) | −6.67240 | − | 4.62440i | −0.235171 | − | 0.162989i | ||||
\(806\) | −2.29141 | + | 7.05224i | −0.0807115 | + | 0.248405i | ||||
\(807\) | −16.0428 | + | 16.0428i | −0.564733 | + | 0.564733i | ||||
\(808\) | −4.98997 | − | 9.79336i | −0.175546 | − | 0.344529i | ||||
\(809\) | 29.5073 | + | 40.6133i | 1.03742 | + | 1.42789i | 0.899226 | + | 0.437484i | \(0.144130\pi\) |
0.138196 | + | 0.990405i | \(0.455870\pi\) | |||||||
\(810\) | −0.682215 | − | 19.6082i | −0.0239706 | − | 0.688962i | ||||
\(811\) | 11.4410 | − | 15.7472i | 0.401749 | − | 0.552961i | −0.559433 | − | 0.828876i | \(-0.688981\pi\) |
0.961182 | + | 0.275915i | \(0.0889809\pi\) | |||||||
\(812\) | −6.80898 | + | 20.0965i | −0.238948 | + | 0.705250i | ||||
\(813\) | 6.78545 | + | 1.07471i | 0.237976 | + | 0.0376917i | ||||
\(814\) | −2.13556 | + | 2.93935i | −0.0748514 | + | 0.103024i | ||||
\(815\) | −29.6568 | + | 1.03183i | −1.03883 | + | 0.0361435i | ||||
\(816\) | 6.29428 | − | 4.57306i | 0.220344 | − | 0.160089i | ||||
\(817\) | −34.2306 | + | 17.4413i | −1.19758 | + | 0.610195i | ||||
\(818\) | −2.20357 | + | 2.20357i | −0.0770461 | + | 0.0770461i | ||||
\(819\) | 26.8295 | − | 51.0657i | 0.937499 | − | 1.78438i | ||||
\(820\) | −38.7934 | − | 18.0957i | −1.35472 | − | 0.631929i | ||||
\(821\) | 1.67476 | + | 5.15438i | 0.0584495 | + | 0.179889i | 0.976019 | − | 0.217687i | \(-0.0698513\pi\) |
−0.917569 | + | 0.397576i | \(0.869851\pi\) | |||||||
\(822\) | −7.68398 | + | 15.0807i | −0.268009 | + | 0.525998i | ||||
\(823\) | 0.777653 | + | 4.90991i | 0.0271073 | + | 0.171149i | 0.997528 | − | 0.0702719i | \(-0.0223867\pi\) |
−0.970421 | + | 0.241420i | \(0.922387\pi\) | |||||||
\(824\) | 11.7931 | 0.410831 | ||||||||
\(825\) | −35.7979 | − | 31.1347i | −1.24632 | − | 1.08397i | ||||
\(826\) | −0.0115040 | + | 0.0671804i | −0.000400274 | + | 0.00233751i | ||||
\(827\) | −33.9914 | + | 5.38372i | −1.18200 | + | 0.187210i | −0.716338 | − | 0.697753i | \(-0.754183\pi\) |
−0.465660 | + | 0.884964i | \(0.654183\pi\) | |||||||
\(828\) | 7.94986 | − | 15.6025i | 0.276277 | − | 0.542224i | ||||
\(829\) | 10.3277 | + | 31.7855i | 0.358697 | + | 1.10396i | 0.953835 | + | 0.300332i | \(0.0970975\pi\) |
−0.595138 | + | 0.803624i | \(0.702902\pi\) | |||||||
\(830\) | −0.742735 | − | 0.692790i | −0.0257807 | − | 0.0240471i | ||||
\(831\) | −81.2089 | − | 26.3864i | −2.81710 | − | 0.915333i | ||||
\(832\) | −8.00284 | − | 8.00284i | −0.277449 | − | 0.277449i | ||||
\(833\) | 0.789322 | + | 5.94272i | 0.0273484 | + | 0.205903i | ||||
\(834\) | 10.4787 | + | 14.4227i | 0.362849 | + | 0.499418i | ||||
\(835\) | 11.8575 | − | 9.26161i | 0.410344 | − | 0.320511i | ||||
\(836\) | 17.7051 | − | 24.3690i | 0.612344 | − | 0.842819i | ||||
\(837\) | −10.9910 | + | 69.3942i | −0.379903 | + | 2.39861i | ||||
\(838\) | −2.06974 | + | 13.0678i | −0.0714979 | + | 0.451420i | ||||
\(839\) | 19.1479 | + | 13.9117i | 0.661058 | + | 0.480286i | 0.867020 | − | 0.498273i | \(-0.166032\pi\) |
−0.205962 | + | 0.978560i | \(0.566032\pi\) | |||||||
\(840\) | 21.8589 | − | 22.8545i | 0.754205 | − | 0.788557i | ||||
\(841\) | −7.47184 | + | 5.42861i | −0.257650 | + | 0.187193i | ||||
\(842\) | −6.38178 | − | 12.5250i | −0.219931 | − | 0.431638i | ||||
\(843\) | 56.2634 | − | 56.2634i | 1.93782 | − | 1.93782i | ||||
\(844\) | 18.5697 | + | 6.03365i | 0.639194 | + | 0.207687i | ||||
\(845\) | 7.76830 | + | 0.954839i | 0.267238 | + | 0.0328475i | ||||
\(846\) | 5.17206 | − | 1.68050i | 0.177819 | − | 0.0577769i | ||||
\(847\) | 4.37434 | + | 3.26256i | 0.150304 | + | 0.112103i | ||||
\(848\) | 5.09746 | + | 32.1841i | 0.175047 | + | 1.10521i | ||||
\(849\) | 51.8364i | 1.77902i | ||||||||
\(850\) | 1.00509 | − | 1.60756i | 0.0344743 | − | 0.0551389i | ||||
\(851\) | 3.76663 | 0.129119 | ||||||||
\(852\) | −7.33382 | − | 46.3039i | −0.251253 | − | 1.58635i | ||||
\(853\) | 0.962940 | + | 0.490642i | 0.0329704 | + | 0.0167993i | 0.470398 | − | 0.882454i | \(-0.344110\pi\) |
−0.437428 | + | 0.899254i | \(0.644110\pi\) | |||||||
\(854\) | 1.04891 | + | 7.20505i | 0.0358930 | + | 0.246552i | ||||
\(855\) | −77.2742 | + | 42.8208i | −2.64272 | + | 1.46444i | ||||
\(856\) | −2.06054 | + | 6.34170i | −0.0704279 | + | 0.216755i | ||||
\(857\) | 29.3167 | + | 29.3167i | 1.00144 | + | 1.00144i | 0.999999 | + | 0.00143911i | \(0.000458083\pi\) |
0.00143911 | + | 0.999999i | \(0.499542\pi\) | |||||||
\(858\) | −11.5373 | + | 5.87854i | −0.393877 | + | 0.200690i | ||||
\(859\) | −36.9931 | + | 26.8770i | −1.26219 | + | 0.917033i | −0.998863 | − | 0.0476742i | \(-0.984819\pi\) |
−0.263325 | + | 0.964707i | \(0.584819\pi\) | |||||||
\(860\) | −26.6704 | − | 7.65130i | −0.909451 | − | 0.260907i | ||||
\(861\) | 62.2188 | + | 63.7960i | 2.12041 | + | 2.17416i | ||||
\(862\) | 1.15042 | − | 7.26347i | 0.0391835 | − | 0.247395i | ||||
\(863\) | −6.36436 | − | 1.00802i | −0.216645 | − | 0.0343133i | 0.0471681 | − | 0.998887i | \(-0.484980\pi\) |
−0.263814 | + | 0.964574i | \(0.584980\pi\) | |||||||
\(864\) | 48.4926 | + | 35.2320i | 1.64975 | + | 1.19862i | ||||
\(865\) | 14.9315 | − | 5.43245i | 0.507686 | − | 0.184709i | ||||
\(866\) | 3.50018 | + | 4.81759i | 0.118941 | + | 0.163708i | ||||
\(867\) | 46.0017 | − | 23.4390i | 1.56230 | − | 0.796032i | ||||
\(868\) | −21.1707 | + | 14.9802i | −0.718580 | + | 0.508461i | ||||
\(869\) | 25.3229 | + | 8.22792i | 0.859022 | + | 0.279113i | ||||
\(870\) | −13.7133 | + | 2.66378i | −0.464926 | + | 0.0903105i | ||||
\(871\) | 2.87399 | − | 0.933816i | 0.0973814 | − | 0.0316411i | ||||
\(872\) | −26.5252 | − | 13.5152i | −0.898255 | − | 0.457684i | ||||
\(873\) | −4.76513 | + | 0.754722i | −0.161275 | + | 0.0255435i | ||||
\(874\) | 3.39340 | 0.114784 | ||||||||
\(875\) | −10.9560 | + | 27.4766i | −0.370381 | + | 0.928880i | ||||
\(876\) | 28.3299 | 0.957178 | ||||||||
\(877\) | 26.0262 | − | 4.12215i | 0.878844 | − | 0.139195i | 0.299322 | − | 0.954152i | \(-0.403239\pi\) |
0.579522 | + | 0.814957i | \(0.303239\pi\) | |||||||
\(878\) | 13.4869 | + | 6.87191i | 0.455160 | + | 0.231916i | ||||
\(879\) | 69.2753 | − | 22.5089i | 2.33660 | − | 0.759207i | ||||
\(880\) | 18.7826 | − | 3.64846i | 0.633161 | − | 0.122990i | ||||
\(881\) | −27.5787 | − | 8.96086i | −0.929150 | − | 0.301899i | −0.194935 | − | 0.980816i | \(-0.562449\pi\) |
−0.734215 | + | 0.678917i | \(0.762449\pi\) | |||||||
\(882\) | −19.7772 | + | 9.46117i | −0.665934 | + | 0.318574i | ||||
\(883\) | 42.0851 | − | 21.4434i | 1.41628 | − | 0.721629i | 0.432602 | − | 0.901585i | \(-0.357596\pi\) |
0.983675 | + | 0.179956i | \(0.0575956\pi\) | |||||||
\(884\) | 2.79891 | + | 3.85236i | 0.0941374 | + | 0.129569i | ||||
\(885\) | 0.388057 | − | 0.141185i | 0.0130444 | − | 0.00474588i | ||||
\(886\) | 12.8754 | + | 9.35455i | 0.432559 | + | 0.314272i | ||||
\(887\) | 41.5454 | + | 6.58015i | 1.39496 | + | 0.220940i | 0.808241 | − | 0.588852i | \(-0.200420\pi\) |
0.586718 | + | 0.809791i | \(0.300420\pi\) | |||||||
\(888\) | −2.29538 | + | 14.4924i | −0.0770278 | + | 0.486335i | ||||
\(889\) | 5.93433 | − | 5.78762i | 0.199031 | − | 0.194110i | ||||
\(890\) | 9.49322 | + | 2.72345i | 0.318213 | + | 0.0912904i | ||||
\(891\) | −47.9311 | + | 34.8240i | −1.60575 | + | 1.16665i | ||||
\(892\) | −35.3181 | + | 17.9955i | −1.18254 | + | 0.602533i | ||||
\(893\) | −6.85755 | − | 6.85755i | −0.229479 | − | 0.229479i | ||||
\(894\) | 1.33726 | − | 4.11565i | 0.0447245 | − | 0.137648i | ||||
\(895\) | −23.0148 | + | 12.7534i | −0.769299 | + | 0.426300i | ||||
\(896\) | 4.15348 | + | 28.5306i | 0.138758 | + | 0.953140i | ||||
\(897\) | 11.9609 | + | 6.09438i | 0.399362 | + | 0.203485i | ||||
\(898\) | 0.755564 | + | 4.77044i | 0.0252135 | + | 0.159192i | ||||
\(899\) | 24.1570 | 0.805680 | ||||||||
\(900\) | −61.9057 | − | 15.4517i | −2.06352 | − | 0.515056i | ||||
\(901\) | − | 9.74988i | − | 0.324815i | ||||||
\(902\) | −2.19733 | − | 13.8734i | −0.0731631 | − | 0.461933i | ||||
\(903\) | 46.3012 | + | 34.5333i | 1.54081 | + | 1.14920i | ||||
\(904\) | 9.74196 | − | 3.16536i | 0.324013 | − | 0.105278i | ||||
\(905\) | −35.8171 | − | 4.40245i | −1.19060 | − | 0.146342i | ||||
\(906\) | 14.0782 | + | 4.57429i | 0.467718 | + | 0.151971i | ||||
\(907\) | −14.6541 | + | 14.6541i | −0.486582 | + | 0.486582i | −0.907226 | − | 0.420644i | \(-0.861804\pi\) |
0.420644 | + | 0.907226i | \(0.361804\pi\) | |||||||
\(908\) | −12.1530 | − | 23.8516i | −0.403312 | − | 0.791544i | ||||
\(909\) | 37.3477 | − | 27.1347i | 1.23875 | − | 0.900002i | ||||
\(910\) | 5.83438 | + | 5.58021i | 0.193408 | + | 0.184982i | ||||
\(911\) | −8.97934 | − | 6.52388i | −0.297499 | − | 0.216146i | 0.429015 | − | 0.903297i | \(-0.358861\pi\) |
−0.726514 | + | 0.687152i | \(0.758861\pi\) | |||||||
\(912\) | 7.93744 | − | 50.1150i | 0.262835 | − | 1.65947i | ||||
\(913\) | −0.479788 | + | 3.02926i | −0.0158787 | + | 0.100254i | ||||
\(914\) | −6.65659 | + | 9.16201i | −0.220180 | + | 0.303052i | ||||
\(915\) | 34.7647 | − | 27.1539i | 1.14928 | − | 0.897682i | ||||
\(916\) | −31.1064 | − | 42.8143i | −1.02779 | − | 1.41462i | ||||
\(917\) | −19.8388 | + | 6.17263i | −0.655136 | + | 0.203838i | ||||
\(918\) | −3.46684 | − | 3.46684i | −0.114423 | − | 0.114423i | ||||
\(919\) | −27.9059 | − | 9.06719i | −0.920532 | − | 0.299099i | −0.189847 | − | 0.981814i | \(-0.560799\pi\) |
−0.730685 | + | 0.682715i | \(0.760799\pi\) | |||||||
\(920\) | 3.77910 | + | 3.52498i | 0.124593 | + | 0.116215i | ||||
\(921\) | −5.47562 | − | 16.8522i | −0.180428 | − | 0.555300i | ||||
\(922\) | −4.48926 | + | 8.81066i | −0.147846 | + | 0.290164i | ||||
\(923\) | 24.9257 | − | 3.94784i | 0.820440 | − | 0.129945i | ||||
\(924\) | −44.6381 | − | 7.64383i | −1.46849 | − | 0.251464i | ||||
\(925\) | −3.08390 | − | 13.3735i | −0.101398 | − | 0.439717i | ||||
\(926\) | 8.96075 | 0.294469 | ||||||||
\(927\) | 7.74846 | + | 48.9218i | 0.254493 | + | 1.60680i | ||||
\(928\) | 9.35630 | − | 18.3628i | 0.307136 | − | 0.602787i | ||||
\(929\) | 4.42172 | + | 13.6087i | 0.145072 | + | 0.446486i | 0.997020 | − | 0.0771402i | \(-0.0245789\pi\) |
−0.851948 | + | 0.523626i | \(0.824579\pi\) | |||||||
\(930\) | −15.4738 | − | 7.21796i | −0.507405 | − | 0.236686i | ||||
\(931\) | 31.0450 | + | 23.7650i | 1.01746 | + | 0.778867i | ||||
\(932\) | 14.1128 | − | 14.1128i | 0.462279 | − | 0.462279i | ||||
\(933\) | 31.3044 | − | 15.9504i | 1.02486 | − | 0.522192i | ||||
\(934\) | 8.41799 | − | 6.11602i | 0.275445 | − | 0.200122i | ||||
\(935\) | −5.72154 | + | 0.199066i | −0.187114 | + | 0.00651015i | ||||
\(936\) | −21.5839 | + | 29.7077i | −0.705492 | + | 0.971026i | ||||
\(937\) | −14.0017 | − | 2.21764i | −0.457414 | − | 0.0724473i | −0.0765244 | − | 0.997068i | \(-0.524382\pi\) |
−0.380890 | + | 0.924620i | \(0.624382\pi\) | |||||||
\(938\) | −1.08777 | − | 0.368551i | −0.0355169 | − | 0.0120336i | ||||
\(939\) | −59.1164 | + | 81.3668i | −1.92919 | + | 2.65530i | ||||
\(940\) | −0.243542 | − | 6.99989i | −0.00794348 | − | 0.228311i | ||||
\(941\) | 20.6293 | + | 28.3938i | 0.672496 | + | 0.925611i | 0.999814 | − | 0.0193033i | \(-0.00614482\pi\) |
−0.327318 | + | 0.944914i | \(0.606145\pi\) | |||||||
\(942\) | −7.95091 | − | 15.6045i | −0.259055 | − | 0.508423i | ||||
\(943\) | −10.2969 | + | 10.2969i | −0.335314 | + | 0.335314i | ||||
\(944\) | −0.0514631 | + | 0.158387i | −0.00167498 | + | 0.00515506i | ||||
\(945\) | 62.8717 | + | 43.5741i | 2.04522 | + | 1.41747i | ||||
\(946\) | −2.81346 | − | 8.65893i | −0.0914734 | − | 0.281526i | ||||
\(947\) | 13.6010 | + | 6.93008i | 0.441974 | + | 0.225197i | 0.660793 | − | 0.750568i | \(-0.270220\pi\) |
−0.218818 | + | 0.975766i | \(0.570220\pi\) | |||||||
\(948\) | 50.3672 | − | 7.97738i | 1.63585 | − | 0.259093i | ||||
\(949\) | 15.2502i | 0.495042i | ||||||||
\(950\) | −2.77832 | − | 12.0483i | −0.0901405 | − | 0.390899i | ||||
\(951\) | 85.4672i | 2.77147i | ||||||||
\(952\) | 0.0477602 | − | 3.81592i | 0.00154792 | − | 0.123675i | ||||
\(953\) | 11.5341 | − | 22.6369i | 0.373625 | − | 0.733280i | −0.625264 | − | 0.780413i | \(-0.715009\pi\) |
0.998889 | + | 0.0471336i | \(0.0150086\pi\) | |||||||
\(954\) | 33.9109 | − | 11.0183i | 1.09790 | − | 0.356731i | ||||
\(955\) | 17.3337 | − | 18.5833i | 0.560904 | − | 0.601341i | ||||
\(956\) | −10.6634 | + | 32.8185i | −0.344879 | + | 1.06143i | ||||
\(957\) | 29.8284 | + | 29.8284i | 0.964215 | + | 0.964215i | ||||
\(958\) | −2.45849 | − | 4.82506i | −0.0794303 | − | 0.155891i | ||||
\(959\) | −14.1104 | − | 28.5717i | −0.455649 | − | 0.922628i | ||||
\(960\) | 20.5381 | − | 16.0419i | 0.662866 | − | 0.517750i | ||||
\(961\) | −1.19255 | − | 0.866439i | −0.0384694 | − | 0.0279496i | ||||
\(962\) | −3.69967 | − | 0.585971i | −0.119282 | − | 0.0188925i | ||||
\(963\) | −27.6614 | − | 4.38114i | −0.891378 | − | 0.141180i | ||||
\(964\) | 8.20817 | + | 5.96358i | 0.264367 | + | 0.192074i | ||||
\(965\) | −5.61260 | − | 3.78679i | −0.180676 | − | 0.121901i | ||||
\(966\) | −2.25917 | − | 4.57452i | −0.0726876 | − | 0.147183i | ||||
\(967\) | 5.00859 | + | 9.82991i | 0.161065 | + | 0.316109i | 0.957409 | − | 0.288736i | \(-0.0932351\pi\) |
−0.796343 | + | 0.604845i | \(0.793235\pi\) | |||||||
\(968\) | −2.45636 | − | 2.45636i | −0.0789504 | − | 0.0789504i | ||||
\(969\) | −4.69146 | + | 14.4388i | −0.150712 | + | 0.463842i | ||||
\(970\) | 0.0823749 | − | 0.670179i | 0.00264490 | − | 0.0215181i | ||||
\(971\) | −33.5408 | + | 10.8981i | −1.07638 | + | 0.349736i | −0.792968 | − | 0.609263i | \(-0.791465\pi\) |
−0.283409 | + | 0.958999i | \(0.591465\pi\) | |||||||
\(972\) | −19.7455 | + | 38.7527i | −0.633337 | + | 1.24299i | ||||
\(973\) | −33.5618 | − | 0.420061i | −1.07594 | − | 0.0134665i | ||||
\(974\) | − | 0.602132i | − | 0.0192936i | ||||||
\(975\) | 11.8453 | − | 47.4570i | 0.379353 | − | 1.51984i | ||||
\(976\) | 17.7904i | 0.569457i | ||||||||
\(977\) | −28.5499 | + | 4.52186i | −0.913393 | + | 0.144667i | −0.595403 | − | 0.803427i | \(-0.703008\pi\) |
−0.317990 | + | 0.948094i | \(0.603008\pi\) | |||||||
\(978\) | −16.6167 | − | 8.46661i | −0.531342 | − | 0.270732i | ||||
\(979\) | −9.21572 | − | 28.3631i | −0.294536 | − | 0.906487i | ||||
\(980\) | 4.68881 | + | 27.8446i | 0.149778 | + | 0.889462i | ||||
\(981\) | 38.6381 | − | 118.916i | 1.23362 | − | 3.79669i | ||||
\(982\) | 5.83136 | − | 5.83136i | 0.186086 | − | 0.186086i | ||||
\(983\) | −8.98984 | − | 17.6435i | −0.286731 | − | 0.562742i | 0.702047 | − | 0.712130i | \(-0.252269\pi\) |
−0.988779 | + | 0.149389i | \(0.952269\pi\) | |||||||
\(984\) | −33.3434 | − | 45.8932i | −1.06295 | − | 1.46302i | ||||
\(985\) | 26.4295 | + | 7.58219i | 0.842112 | + | 0.241589i | ||||
\(986\) | −0.990846 | + | 1.36378i | −0.0315550 | + | 0.0434317i | ||||
\(987\) | −4.67896 | + | 13.8098i | −0.148933 | + | 0.439572i | ||||
\(988\) | 30.6725 | + | 4.85805i | 0.975823 | + | 0.154555i | ||||
\(989\) | −5.54800 | + | 7.63617i | −0.176416 | + | 0.242816i | ||||
\(990\) | −7.15826 | − | 19.6750i | −0.227505 | − | 0.625313i | ||||
\(991\) | −3.58816 | + | 2.60695i | −0.113982 | + | 0.0828125i | −0.643316 | − | 0.765601i | \(-0.722442\pi\) |
0.529334 | + | 0.848413i | \(0.322442\pi\) | |||||||
\(992\) | 22.4439 | − | 11.4358i | 0.712596 | − | 0.363086i | ||||
\(993\) | −19.7683 | + | 19.7683i | −0.627328 | + | 0.627328i | ||||
\(994\) | −8.49085 | − | 4.46102i | −0.269313 | − | 0.141495i | ||||
\(995\) | 13.5454 | − | 2.63115i | 0.429418 | − | 0.0834132i | ||||
\(996\) | 1.81518 | + | 5.58655i | 0.0575162 | + | 0.177017i | ||||
\(997\) | −3.85288 | + | 7.56170i | −0.122022 | + | 0.239481i | −0.943935 | − | 0.330132i | \(-0.892907\pi\) |
0.821913 | + | 0.569613i | \(0.192907\pi\) | |||||||
\(998\) | −1.57805 | − | 9.96342i | −0.0499523 | − | 0.315387i | ||||
\(999\) | −35.4916 | −1.12291 |
(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 | 175.2.s.a.13.9 | ✓ | 144 | |
5.2 | odd | 4 | 875.2.s.b.832.9 | 144 | |||
5.3 | odd | 4 | 875.2.s.a.832.10 | 144 | |||
5.4 | even | 2 | 875.2.s.c.293.10 | 144 | |||
7.6 | odd | 2 | inner | 175.2.s.a.13.10 | yes | 144 | |
25.2 | odd | 20 | inner | 175.2.s.a.27.10 | yes | 144 | |
25.11 | even | 5 | 875.2.s.b.468.10 | 144 | |||
25.14 | even | 10 | 875.2.s.a.468.9 | 144 | |||
25.23 | odd | 20 | 875.2.s.c.657.9 | 144 | |||
35.13 | even | 4 | 875.2.s.a.832.9 | 144 | |||
35.27 | even | 4 | 875.2.s.b.832.10 | 144 | |||
35.34 | odd | 2 | 875.2.s.c.293.9 | 144 | |||
175.27 | even | 20 | inner | 175.2.s.a.27.9 | yes | 144 | |
175.48 | even | 20 | 875.2.s.c.657.10 | 144 | |||
175.111 | odd | 10 | 875.2.s.b.468.9 | 144 | |||
175.139 | odd | 10 | 875.2.s.a.468.10 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.s.a.13.9 | ✓ | 144 | 1.1 | even | 1 | trivial | |
175.2.s.a.13.10 | yes | 144 | 7.6 | odd | 2 | inner | |
175.2.s.a.27.9 | yes | 144 | 175.27 | even | 20 | inner | |
175.2.s.a.27.10 | yes | 144 | 25.2 | odd | 20 | inner | |
875.2.s.a.468.9 | 144 | 25.14 | even | 10 | |||
875.2.s.a.468.10 | 144 | 175.139 | odd | 10 | |||
875.2.s.a.832.9 | 144 | 35.13 | even | 4 | |||
875.2.s.a.832.10 | 144 | 5.3 | odd | 4 | |||
875.2.s.b.468.9 | 144 | 175.111 | odd | 10 | |||
875.2.s.b.468.10 | 144 | 25.11 | even | 5 | |||
875.2.s.b.832.9 | 144 | 5.2 | odd | 4 | |||
875.2.s.b.832.10 | 144 | 35.27 | even | 4 | |||
875.2.s.c.293.9 | 144 | 35.34 | odd | 2 | |||
875.2.s.c.293.10 | 144 | 5.4 | even | 2 | |||
875.2.s.c.657.9 | 144 | 25.23 | odd | 20 | |||
875.2.s.c.657.10 | 144 | 175.48 | even | 20 |