Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [414,2,Mod(13,414)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(414, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([22, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("414.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 414 = 2 \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 414.m (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.30580664368\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 25.2 | ||
Character | \(\chi\) | \(=\) | 414.25 |
Dual form | 414.2.m.a.265.2 |
$q$-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 \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(235\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.888835 | − | 0.458227i | 0.628502 | − | 0.324015i | ||||
\(3\) | −1.33859 | − | 1.09917i | −0.772835 | − | 0.634607i | ||||
\(4\) | 0.580057 | − | 0.814576i | 0.290028 | − | 0.407288i | ||||
\(5\) | 0.448804 | + | 1.84999i | 0.200711 | + | 0.827342i | 0.979727 | + | 0.200338i | \(0.0642040\pi\) |
−0.779016 | + | 0.627004i | \(0.784281\pi\) | |||||||
\(6\) | −1.69346 | − | 0.363606i | −0.691350 | − | 0.148442i | ||||
\(7\) | 1.59879 | + | 4.61941i | 0.604287 | + | 1.74597i | 0.663975 | + | 0.747755i | \(0.268868\pi\) |
−0.0596880 | + | 0.998217i | \(0.519011\pi\) | |||||||
\(8\) | 0.142315 | − | 0.989821i | 0.0503159 | − | 0.349955i | ||||
\(9\) | 0.583642 | + | 2.94268i | 0.194547 | + | 0.980893i | ||||
\(10\) | 1.24663 | + | 1.43869i | 0.394219 | + | 0.454952i | ||||
\(11\) | −0.0108972 | − | 0.228760i | −0.00328562 | − | 0.0689737i | 0.996629 | − | 0.0820404i | \(-0.0261436\pi\) |
−0.999915 | + | 0.0130667i | \(0.995841\pi\) | |||||||
\(12\) | −1.67182 | + | 0.452800i | −0.482612 | + | 0.130712i | ||||
\(13\) | −1.76863 | + | 5.11011i | −0.490529 | + | 1.41729i | 0.379914 | + | 0.925022i | \(0.375954\pi\) |
−0.870443 | + | 0.492269i | \(0.836168\pi\) | |||||||
\(14\) | 3.53780 | + | 3.37328i | 0.945516 | + | 0.901548i | ||||
\(15\) | 1.43270 | − | 2.96969i | 0.369921 | − | 0.766772i | ||||
\(16\) | −0.327068 | − | 0.945001i | −0.0817670 | − | 0.236250i | ||||
\(17\) | 0.938641 | − | 2.05534i | 0.227654 | − | 0.498492i | −0.760991 | − | 0.648762i | \(-0.775287\pi\) |
0.988645 | + | 0.150270i | \(0.0480143\pi\) | |||||||
\(18\) | 1.86718 | + | 2.34812i | 0.440097 | + | 0.553457i | ||||
\(19\) | −1.96310 | − | 4.29858i | −0.450365 | − | 0.986162i | −0.989579 | − | 0.143993i | \(-0.954006\pi\) |
0.539214 | − | 0.842169i | \(-0.318721\pi\) | |||||||
\(20\) | 1.76729 | + | 0.707517i | 0.395178 | + | 0.158206i | ||||
\(21\) | 2.93740 | − | 7.94084i | 0.640993 | − | 1.73283i | ||||
\(22\) | −0.114510 | − | 0.198336i | −0.0244135 | − | 0.0422855i | ||||
\(23\) | 4.79107 | + | 0.213736i | 0.999006 | + | 0.0445670i | ||||
\(24\) | −1.27849 | + | 1.16854i | −0.260970 | + | 0.238526i | ||||
\(25\) | 1.22313 | − | 0.630565i | 0.244625 | − | 0.126113i | ||||
\(26\) | 0.769571 | + | 5.35248i | 0.150925 | + | 1.04971i | ||||
\(27\) | 2.45325 | − | 4.58056i | 0.472129 | − | 0.881529i | ||||
\(28\) | 4.69025 | + | 1.37718i | 0.886374 | + | 0.260263i | ||||
\(29\) | 2.11897 | + | 2.97568i | 0.393483 | + | 0.552570i | 0.963032 | − | 0.269388i | \(-0.0868213\pi\) |
−0.569549 | + | 0.821958i | \(0.692882\pi\) | |||||||
\(30\) | −0.0873601 | − | 3.29607i | −0.0159497 | − | 0.601777i | ||||
\(31\) | −4.65707 | + | 1.86441i | −0.836435 | + | 0.334858i | −0.750031 | − | 0.661402i | \(-0.769962\pi\) |
−0.0864034 | + | 0.996260i | \(0.527537\pi\) | |||||||
\(32\) | −0.723734 | − | 0.690079i | −0.127939 | − | 0.121990i | ||||
\(33\) | −0.236859 | + | 0.318193i | −0.0412319 | + | 0.0553903i | ||||
\(34\) | −0.107513 | − | 2.25697i | −0.0184382 | − | 0.387066i | ||||
\(35\) | −7.82833 | + | 5.03096i | −1.32323 | + | 0.850388i | ||||
\(36\) | 2.73558 | + | 1.23150i | 0.455930 | + | 0.205250i | ||||
\(37\) | 3.86467 | − | 1.13477i | 0.635348 | − | 0.186555i | 0.0518311 | − | 0.998656i | \(-0.483494\pi\) |
0.583517 | + | 0.812101i | \(0.301676\pi\) | |||||||
\(38\) | −3.71459 | − | 2.92119i | −0.602586 | − | 0.473879i | ||||
\(39\) | 7.98436 | − | 4.89632i | 1.27852 | − | 0.784038i | ||||
\(40\) | 1.89503 | − | 0.180954i | 0.299631 | − | 0.0286113i | ||||
\(41\) | 0.295248 | + | 1.21703i | 0.0461100 | + | 0.190068i | 0.990209 | − | 0.139595i | \(-0.0445800\pi\) |
−0.944099 | + | 0.329663i | \(0.893065\pi\) | |||||||
\(42\) | −1.02784 | − | 8.40409i | −0.158599 | − | 1.29678i | ||||
\(43\) | −4.70773 | − | 1.88469i | −0.717922 | − | 0.287413i | −0.0162052 | − | 0.999869i | \(-0.505158\pi\) |
−0.701717 | + | 0.712456i | \(0.747583\pi\) | |||||||
\(44\) | −0.192663 | − | 0.123817i | −0.0290451 | − | 0.0186661i | ||||
\(45\) | −5.18200 | + | 2.40042i | −0.772486 | + | 0.357833i | ||||
\(46\) | 4.35641 | − | 2.00542i | 0.642317 | − | 0.295683i | ||||
\(47\) | 5.55942 | − | 9.62920i | 0.810925 | − | 1.40456i | −0.101292 | − | 0.994857i | \(-0.532298\pi\) |
0.912217 | − | 0.409707i | \(-0.134369\pi\) | |||||||
\(48\) | −0.600909 | + | 1.62447i | −0.0867337 | + | 0.234472i | ||||
\(49\) | −13.2804 | + | 10.4438i | −1.89720 | + | 1.49198i | ||||
\(50\) | 0.798216 | − | 1.12094i | 0.112885 | − | 0.158525i | ||||
\(51\) | −3.51562 | + | 1.71952i | −0.492286 | + | 0.240781i | ||||
\(52\) | 3.13667 | + | 4.40484i | 0.434978 | + | 0.610841i | ||||
\(53\) | −3.90795 | + | 4.51002i | −0.536799 | + | 0.619499i | −0.957756 | − | 0.287582i | \(-0.907149\pi\) |
0.420957 | + | 0.907080i | \(0.361694\pi\) | |||||||
\(54\) | 0.0816043 | − | 5.19551i | 0.0111049 | − | 0.707020i | ||||
\(55\) | 0.418313 | − | 0.122828i | 0.0564054 | − | 0.0165621i | ||||
\(56\) | 4.79992 | − | 0.925109i | 0.641416 | − | 0.123623i | ||||
\(57\) | −2.09710 | + | 7.91181i | −0.277768 | + | 1.04794i | ||||
\(58\) | 3.24695 | + | 1.67392i | 0.426346 | + | 0.219797i | ||||
\(59\) | 3.64188 | − | 10.5225i | 0.474132 | − | 1.36991i | −0.413980 | − | 0.910286i | \(-0.635862\pi\) |
0.888112 | − | 0.459628i | \(-0.152017\pi\) | |||||||
\(60\) | −1.58799 | − | 2.88963i | −0.205009 | − | 0.373050i | ||||
\(61\) | −7.88094 | − | 6.19764i | −1.00905 | − | 0.793526i | −0.0305002 | − | 0.999535i | \(-0.509710\pi\) |
−0.978550 | + | 0.206009i | \(0.933952\pi\) | |||||||
\(62\) | −3.28505 | + | 3.79115i | −0.417201 | + | 0.481476i | ||||
\(63\) | −12.6603 | + | 7.40081i | −1.59505 | + | 0.932415i | ||||
\(64\) | −0.959493 | − | 0.281733i | −0.119937 | − | 0.0352166i | ||||
\(65\) | −10.2474 | − | 0.978512i | −1.27104 | − | 0.121369i | ||||
\(66\) | −0.0647245 | + | 0.391357i | −0.00796704 | + | 0.0481727i | ||||
\(67\) | −0.316723 | + | 6.64883i | −0.0386938 | + | 0.812284i | 0.893223 | + | 0.449613i | \(0.148438\pi\) |
−0.931917 | + | 0.362671i | \(0.881865\pi\) | |||||||
\(68\) | −1.12976 | − | 1.95681i | −0.137004 | − | 0.237298i | ||||
\(69\) | −6.17834 | − | 5.55231i | −0.743784 | − | 0.668420i | ||||
\(70\) | −4.65278 | + | 8.05885i | −0.556113 | + | 0.963216i | ||||
\(71\) | 7.34237 | + | 4.71865i | 0.871379 | + | 0.560001i | 0.898174 | − | 0.439640i | \(-0.144894\pi\) |
−0.0267952 | + | 0.999641i | \(0.508530\pi\) | |||||||
\(72\) | 2.99579 | − | 0.158914i | 0.353057 | − | 0.0187282i | ||||
\(73\) | 5.97584 | + | 13.0853i | 0.699419 | + | 1.53151i | 0.840674 | + | 0.541541i | \(0.182159\pi\) |
−0.141255 | + | 0.989973i | \(0.545114\pi\) | |||||||
\(74\) | 2.91508 | − | 2.77952i | 0.338871 | − | 0.323113i | ||||
\(75\) | −2.33036 | − | 0.500358i | −0.269087 | − | 0.0577764i | ||||
\(76\) | −4.64023 | − | 0.894330i | −0.532270 | − | 0.102587i | ||||
\(77\) | 1.03931 | − | 0.416078i | 0.118441 | − | 0.0474165i | ||||
\(78\) | 4.85316 | − | 8.01067i | 0.549512 | − | 0.907029i | ||||
\(79\) | 10.8392 | − | 2.08908i | 1.21950 | − | 0.235040i | 0.461411 | − | 0.887187i | \(-0.347343\pi\) |
0.758093 | + | 0.652146i | \(0.226131\pi\) | |||||||
\(80\) | 1.60146 | − | 1.02919i | 0.179048 | − | 0.115067i | ||||
\(81\) | −8.31872 | + | 3.43494i | −0.924303 | + | 0.381660i | ||||
\(82\) | 0.820102 | + | 0.946448i | 0.0905651 | + | 0.104518i | ||||
\(83\) | 0.586047 | − | 2.41572i | 0.0643270 | − | 0.265160i | −0.930562 | − | 0.366134i | \(-0.880681\pi\) |
0.994889 | + | 0.100975i | \(0.0321962\pi\) | |||||||
\(84\) | −4.76456 | − | 6.99887i | −0.519856 | − | 0.763639i | ||||
\(85\) | 4.22362 | + | 0.814037i | 0.458116 | + | 0.0882947i | ||||
\(86\) | −5.04801 | + | 0.482027i | −0.544341 | + | 0.0519783i | ||||
\(87\) | 0.434351 | − | 6.31233i | 0.0465673 | − | 0.676753i | ||||
\(88\) | −0.227982 | − | 0.0217697i | −0.0243030 | − | 0.00232065i | ||||
\(89\) | −1.73267 | − | 12.0510i | −0.183663 | − | 1.27740i | −0.848010 | − | 0.529980i | \(-0.822199\pi\) |
0.664347 | − | 0.747424i | \(-0.268710\pi\) | |||||||
\(90\) | −3.50601 | + | 4.50811i | −0.369566 | + | 0.475196i | ||||
\(91\) | −26.4334 | −2.77097 | ||||||||
\(92\) | 2.95320 | − | 3.77871i | 0.307892 | − | 0.393958i | ||||
\(93\) | 8.28321 | + | 2.62324i | 0.858929 | + | 0.272018i | ||||
\(94\) | 0.529056 | − | 11.1062i | 0.0545679 | − | 1.14552i | ||||
\(95\) | 7.07130 | − | 5.56093i | 0.725500 | − | 0.570539i | ||||
\(96\) | 0.210267 | + | 1.71924i | 0.0214603 | + | 0.175469i | ||||
\(97\) | −2.39513 | + | 2.28375i | −0.243188 | + | 0.231880i | −0.801864 | − | 0.597507i | \(-0.796158\pi\) |
0.558676 | + | 0.829386i | \(0.311310\pi\) | |||||||
\(98\) | −7.01846 | + | 15.3683i | −0.708972 | + | 1.55243i | ||||
\(99\) | 0.666807 | − | 0.165581i | 0.0670166 | − | 0.0166415i | ||||
\(100\) | 0.195839 | − | 1.36209i | 0.0195839 | − | 0.136209i | ||||
\(101\) | −2.21338 | + | 9.12367i | −0.220239 | + | 0.907839i | 0.749168 | + | 0.662380i | \(0.230454\pi\) |
−0.969407 | + | 0.245458i | \(0.921062\pi\) | |||||||
\(102\) | −2.33688 | + | 3.13932i | −0.231385 | + | 0.310839i | ||||
\(103\) | −12.0905 | − | 6.23310i | −1.19132 | − | 0.614166i | −0.255552 | − | 0.966795i | \(-0.582257\pi\) |
−0.935763 | + | 0.352630i | \(0.885288\pi\) | |||||||
\(104\) | 4.80640 | + | 2.47787i | 0.471306 | + | 0.242975i | ||||
\(105\) | 16.0088 | + | 1.87029i | 1.56230 | + | 0.182522i | ||||
\(106\) | −1.40692 | + | 5.79939i | −0.136652 | + | 0.563287i | ||||
\(107\) | 2.29139 | − | 15.9370i | 0.221517 | − | 1.54069i | −0.510786 | − | 0.859708i | \(-0.670645\pi\) |
0.732303 | − | 0.680979i | \(-0.238445\pi\) | |||||||
\(108\) | −2.30819 | − | 4.65535i | −0.222106 | − | 0.447961i | ||||
\(109\) | 0.118735 | − | 0.259994i | 0.0113728 | − | 0.0249029i | −0.903860 | − | 0.427828i | \(-0.859279\pi\) |
0.915233 | + | 0.402925i | \(0.132006\pi\) | |||||||
\(110\) | 0.315529 | − | 0.300856i | 0.0300845 | − | 0.0286855i | ||||
\(111\) | −6.42052 | − | 2.72895i | −0.609409 | − | 0.259020i | ||||
\(112\) | 3.84243 | − | 3.02172i | 0.363076 | − | 0.285526i | ||||
\(113\) | 0.121549 | − | 2.55164i | 0.0114344 | − | 0.240038i | −0.985913 | − | 0.167256i | \(-0.946509\pi\) |
0.997348 | − | 0.0727817i | \(-0.0231876\pi\) | |||||||
\(114\) | 1.76142 | + | 7.99324i | 0.164973 | + | 0.748636i | ||||
\(115\) | 1.75484 | + | 8.95937i | 0.163639 | + | 0.835465i | ||||
\(116\) | 3.65304 | 0.339176 | ||||||||
\(117\) | −16.0697 | − | 2.22203i | −1.48564 | − | 0.205427i | ||||
\(118\) | −1.58466 | − | 11.0216i | −0.145880 | − | 1.01462i | ||||
\(119\) | 10.9951 | + | 1.04991i | 1.00792 | + | 0.0962449i | ||||
\(120\) | −2.73557 | − | 1.84075i | −0.249722 | − | 0.168036i | ||||
\(121\) | 10.8980 | − | 1.04063i | 0.990725 | − | 0.0946028i | ||||
\(122\) | −9.84478 | − | 1.89743i | −0.891304 | − | 0.171785i | ||||
\(123\) | 0.942508 | − | 1.95363i | 0.0849831 | − | 0.176153i | ||||
\(124\) | −1.18266 | + | 4.87500i | −0.106206 | + | 0.437788i | ||||
\(125\) | 7.94863 | + | 9.17321i | 0.710947 | + | 0.820476i | ||||
\(126\) | −7.86169 | + | 12.3794i | −0.700375 | + | 1.10284i | ||||
\(127\) | 13.4744 | − | 8.65948i | 1.19566 | − | 0.768405i | 0.217461 | − | 0.976069i | \(-0.430222\pi\) |
0.978200 | + | 0.207664i | \(0.0665861\pi\) | |||||||
\(128\) | −0.981929 | + | 0.189251i | −0.0867911 | + | 0.0167276i | ||||
\(129\) | 4.23012 | + | 7.69743i | 0.372441 | + | 0.677721i | ||||
\(130\) | −9.55667 | + | 3.82591i | −0.838175 | + | 0.335555i | ||||
\(131\) | −1.40564 | − | 0.270914i | −0.122811 | − | 0.0236699i | 0.127475 | − | 0.991842i | \(-0.459313\pi\) |
−0.250286 | + | 0.968172i | \(0.580525\pi\) | |||||||
\(132\) | 0.121801 | + | 0.377510i | 0.0106014 | + | 0.0328580i | ||||
\(133\) | 16.7183 | − | 15.9409i | 1.44966 | − | 1.38225i | ||||
\(134\) | 2.76516 | + | 6.05485i | 0.238873 | + | 0.523059i | ||||
\(135\) | 9.57504 | + | 2.48273i | 0.824088 | + | 0.213680i | ||||
\(136\) | −1.90083 | − | 1.22159i | −0.162995 | − | 0.104751i | ||||
\(137\) | 4.27720 | − | 7.40833i | 0.365426 | − | 0.632936i | −0.623419 | − | 0.781888i | \(-0.714257\pi\) |
0.988844 | + | 0.148952i | \(0.0475900\pi\) | |||||||
\(138\) | −8.03574 | − | 2.10401i | −0.684048 | − | 0.179105i | ||||
\(139\) | −1.22776 | − | 2.12654i | −0.104137 | − | 0.180371i | 0.809248 | − | 0.587467i | \(-0.199875\pi\) |
−0.913385 | + | 0.407096i | \(0.866541\pi\) | |||||||
\(140\) | −0.442776 | + | 9.29501i | −0.0374214 | + | 0.785572i | ||||
\(141\) | −18.0259 | + | 6.77878i | −1.51806 | + | 0.570877i | ||||
\(142\) | 8.68837 | + | 0.829639i | 0.729112 | + | 0.0696217i | ||||
\(143\) | 1.18826 | + | 0.348905i | 0.0993674 | + | 0.0291769i | ||||
\(144\) | 2.58994 | − | 1.51400i | 0.215829 | − | 0.126167i | ||||
\(145\) | −4.55399 | + | 5.25558i | −0.378188 | + | 0.436452i | ||||
\(146\) | 11.3076 | + | 8.89236i | 0.935820 | + | 0.735937i | ||||
\(147\) | 29.2566 | + | 0.617457i | 2.41304 | + | 0.0509270i | ||||
\(148\) | 1.31737 | − | 3.80630i | 0.108287 | − | 0.312876i | ||||
\(149\) | 2.36180 | + | 1.21759i | 0.193486 | + | 0.0997491i | 0.552247 | − | 0.833680i | \(-0.313770\pi\) |
−0.358761 | + | 0.933429i | \(0.616801\pi\) | |||||||
\(150\) | −2.30059 | + | 0.623098i | −0.187842 | + | 0.0508758i | ||||
\(151\) | −15.3629 | + | 2.96095i | −1.25021 | + | 0.240959i | −0.771054 | − | 0.636770i | \(-0.780270\pi\) |
−0.479158 | + | 0.877728i | \(0.659058\pi\) | |||||||
\(152\) | −4.53420 | + | 1.33136i | −0.367772 | + | 0.107988i | ||||
\(153\) | 6.59603 | + | 1.56254i | 0.533257 | + | 0.126324i | ||||
\(154\) | 0.733120 | − | 0.846065i | 0.0590765 | − | 0.0681779i | ||||
\(155\) | −5.53926 | − | 7.77880i | −0.444924 | − | 0.624808i | ||||
\(156\) | 0.642961 | − | 9.34401i | 0.0514781 | − | 0.748120i | ||||
\(157\) | 5.05525 | − | 7.09910i | 0.403453 | − | 0.566570i | −0.562004 | − | 0.827135i | \(-0.689969\pi\) |
0.965456 | + | 0.260565i | \(0.0839088\pi\) | |||||||
\(158\) | 8.67698 | − | 6.82365i | 0.690304 | − | 0.542861i | ||||
\(159\) | 10.1884 | − | 1.74155i | 0.807995 | − | 0.138114i | ||||
\(160\) | 0.951827 | − | 1.64861i | 0.0752485 | − | 0.130334i | ||||
\(161\) | 6.67259 | + | 22.4736i | 0.525874 | + | 1.77117i | ||||
\(162\) | −5.82000 | + | 6.86496i | −0.457262 | + | 0.539362i | ||||
\(163\) | −4.64904 | − | 2.98775i | −0.364141 | − | 0.234019i | 0.345757 | − | 0.938324i | \(-0.387622\pi\) |
−0.709897 | + | 0.704305i | \(0.751259\pi\) | |||||||
\(164\) | 1.16262 | + | 0.465444i | 0.0907856 | + | 0.0363451i | ||||
\(165\) | −0.694959 | − | 0.295382i | −0.0541025 | − | 0.0229955i | ||||
\(166\) | −0.586047 | − | 2.41572i | −0.0454861 | − | 0.187496i | ||||
\(167\) | 3.52075 | − | 0.336191i | 0.272444 | − | 0.0260152i | 0.0420601 | − | 0.999115i | \(-0.486608\pi\) |
0.230384 | + | 0.973100i | \(0.426002\pi\) | |||||||
\(168\) | −7.44198 | − | 4.03760i | −0.574161 | − | 0.311507i | ||||
\(169\) | −12.7665 | − | 10.0397i | −0.982041 | − | 0.772285i | ||||
\(170\) | 4.12712 | − | 1.21183i | 0.316536 | − | 0.0929433i | ||||
\(171\) | 11.5036 | − | 8.28559i | 0.879702 | − | 0.633615i | ||||
\(172\) | −4.26597 | + | 2.74157i | −0.325277 | + | 0.209043i | ||||
\(173\) | −0.608200 | − | 12.7677i | −0.0462406 | − | 0.970709i | −0.896142 | − | 0.443767i | \(-0.853642\pi\) |
0.849902 | − | 0.526942i | \(-0.176661\pi\) | |||||||
\(174\) | −2.50641 | − | 5.80965i | −0.190010 | − | 0.440429i | ||||
\(175\) | 4.86836 | + | 4.64198i | 0.368014 | + | 0.350900i | ||||
\(176\) | −0.212614 | + | 0.0851178i | −0.0160264 | + | 0.00641600i | ||||
\(177\) | −16.4410 | + | 10.0823i | −1.23578 | + | 0.757830i | ||||
\(178\) | −7.06216 | − | 9.91741i | −0.529331 | − | 0.743341i | ||||
\(179\) | −16.7149 | − | 4.90794i | −1.24933 | − | 0.366837i | −0.410818 | − | 0.911717i | \(-0.634757\pi\) |
−0.838514 | + | 0.544880i | \(0.816575\pi\) | |||||||
\(180\) | −1.05053 | + | 5.61351i | −0.0783019 | + | 0.418406i | ||||
\(181\) | 0.276939 | + | 1.92615i | 0.0205847 | + | 0.143170i | 0.997522 | − | 0.0703573i | \(-0.0224139\pi\) |
−0.976937 | + | 0.213527i | \(0.931505\pi\) | |||||||
\(182\) | −23.4949 | + | 12.1125i | −1.74156 | + | 0.897836i | ||||
\(183\) | 3.73707 | + | 16.9586i | 0.276252 | + | 1.25362i | ||||
\(184\) | 0.893400 | − | 4.71188i | 0.0658623 | − | 0.347365i | ||||
\(185\) | 3.83380 | + | 6.64033i | 0.281866 | + | 0.488207i | ||||
\(186\) | 8.56445 | − | 1.46396i | 0.627976 | − | 0.107342i | ||||
\(187\) | −0.480407 | − | 0.192326i | −0.0351308 | − | 0.0140643i | ||||
\(188\) | −4.61893 | − | 10.1141i | −0.336870 | − | 0.737643i | ||||
\(189\) | 25.0817 | + | 4.00921i | 1.82443 | + | 0.291627i | ||||
\(190\) | 3.73705 | − | 8.18301i | 0.271114 | − | 0.593658i | ||||
\(191\) | −2.59934 | − | 7.51030i | −0.188082 | − | 0.543426i | 0.811055 | − | 0.584970i | \(-0.198894\pi\) |
−0.999137 | + | 0.0415436i | \(0.986772\pi\) | |||||||
\(192\) | 0.974694 | + | 1.43177i | 0.0703425 | + | 0.103329i | ||||
\(193\) | −3.31413 | − | 3.16002i | −0.238557 | − | 0.227463i | 0.561364 | − | 0.827569i | \(-0.310277\pi\) |
−0.799921 | + | 0.600106i | \(0.795125\pi\) | |||||||
\(194\) | −1.08240 | + | 3.12739i | −0.0777117 | + | 0.224533i | ||||
\(195\) | 12.6416 | + | 12.5735i | 0.905281 | + | 0.900409i | ||||
\(196\) | 0.803900 | + | 16.8759i | 0.0574214 | + | 1.20542i | ||||
\(197\) | 0.127865 | + | 0.147564i | 0.00910998 | + | 0.0105135i | 0.760286 | − | 0.649588i | \(-0.225059\pi\) |
−0.751176 | + | 0.660102i | \(0.770513\pi\) | |||||||
\(198\) | 0.516808 | − | 0.452722i | 0.0367279 | − | 0.0321736i | ||||
\(199\) | −2.07777 | + | 14.4512i | −0.147290 | + | 1.02442i | 0.773342 | + | 0.633989i | \(0.218584\pi\) |
−0.920632 | + | 0.390432i | \(0.872326\pi\) | |||||||
\(200\) | −0.450078 | − | 1.30042i | −0.0318253 | − | 0.0919533i | ||||
\(201\) | 7.73217 | − | 8.55192i | 0.545385 | − | 0.603206i | ||||
\(202\) | 2.21338 | + | 9.12367i | 0.155733 | + | 0.641939i | ||||
\(203\) | −10.3581 | + | 14.5459i | −0.726995 | + | 1.02092i | ||||
\(204\) | −0.638579 | + | 3.86116i | −0.0447094 | + | 0.270335i | ||||
\(205\) | −2.11899 | + | 1.09241i | −0.147996 | + | 0.0762975i | ||||
\(206\) | −13.6027 | −0.947742 | ||||||||
\(207\) | 2.16731 | + | 14.2233i | 0.150639 | + | 0.988589i | ||||
\(208\) | 5.40752 | 0.374944 | ||||||||
\(209\) | −0.961950 | + | 0.495919i | −0.0665394 | + | 0.0343035i | ||||
\(210\) | 15.0862 | − | 5.67328i | 1.04105 | − | 0.391494i | ||||
\(211\) | −2.02456 | + | 2.84310i | −0.139377 | + | 0.195727i | −0.878364 | − | 0.477992i | \(-0.841365\pi\) |
0.738988 | + | 0.673719i | \(0.235304\pi\) | |||||||
\(212\) | 1.40692 | + | 5.79939i | 0.0966275 | + | 0.398304i | ||||
\(213\) | −4.64180 | − | 14.3869i | −0.318051 | − | 0.985772i | ||||
\(214\) | −5.26608 | − | 15.2153i | −0.359982 | − | 1.04010i | ||||
\(215\) | 1.37382 | − | 9.55512i | 0.0936937 | − | 0.651654i | ||||
\(216\) | −4.18480 | − | 3.08017i | −0.284740 | − | 0.209579i | ||||
\(217\) | −16.0582 | − | 18.5321i | −1.09010 | − | 1.25804i | ||||
\(218\) | −0.0136000 | − | 0.285499i | −0.000921108 | − | 0.0193364i | ||||
\(219\) | 6.38376 | − | 24.0843i | 0.431375 | − | 1.62746i | ||||
\(220\) | 0.142593 | − | 0.411995i | 0.00961361 | − | 0.0277767i | ||||
\(221\) | 8.84290 | + | 8.43169i | 0.594838 | + | 0.567177i | ||||
\(222\) | −6.95726 | + | 0.516465i | −0.466941 | + | 0.0346628i | ||||
\(223\) | 1.61658 | + | 4.67079i | 0.108254 | + | 0.312779i | 0.986097 | − | 0.166168i | \(-0.0531395\pi\) |
−0.877843 | + | 0.478948i | \(0.841018\pi\) | |||||||
\(224\) | 2.03066 | − | 4.44652i | 0.135679 | − | 0.297095i | ||||
\(225\) | 2.56942 | + | 3.23124i | 0.171295 | + | 0.215416i | ||||
\(226\) | −1.06119 | − | 2.32368i | −0.0705893 | − | 0.154569i | ||||
\(227\) | −10.1604 | − | 4.06763i | −0.674372 | − | 0.269978i | 0.00909543 | − | 0.999959i | \(-0.497105\pi\) |
−0.683468 | + | 0.729981i | \(0.739529\pi\) | |||||||
\(228\) | 5.22833 | + | 6.29755i | 0.346255 | + | 0.417065i | ||||
\(229\) | 7.25794 | + | 12.5711i | 0.479618 | + | 0.830723i | 0.999727 | − | 0.0233769i | \(-0.00744177\pi\) |
−0.520108 | + | 0.854100i | \(0.674108\pi\) | |||||||
\(230\) | 5.66518 | + | 7.15929i | 0.373551 | + | 0.472070i | ||||
\(231\) | −1.84855 | − | 0.585426i | −0.121626 | − | 0.0385182i | ||||
\(232\) | 3.24695 | − | 1.67392i | 0.213173 | − | 0.109898i | ||||
\(233\) | −2.14093 | − | 14.8905i | −0.140257 | − | 0.975508i | −0.931431 | − | 0.363918i | \(-0.881439\pi\) |
0.791174 | − | 0.611591i | \(-0.209470\pi\) | |||||||
\(234\) | −15.3015 | + | 5.38853i | −1.00029 | + | 0.352259i | ||||
\(235\) | 20.3090 | + | 5.96327i | 1.32482 | + | 0.389001i | ||||
\(236\) | −6.45889 | − | 9.07024i | −0.420438 | − | 0.590422i | ||||
\(237\) | −16.8055 | − | 9.11771i | −1.09163 | − | 0.592259i | ||||
\(238\) | 10.2540 | − | 4.10506i | 0.664665 | − | 0.266092i | ||||
\(239\) | 17.4635 | + | 16.6515i | 1.12962 | + | 1.07709i | 0.996293 | + | 0.0860217i | \(0.0274154\pi\) |
0.133330 | + | 0.991072i | \(0.457433\pi\) | |||||||
\(240\) | −3.27495 | − | 0.382609i | −0.211397 | − | 0.0246973i | ||||
\(241\) | −0.237004 | − | 4.97533i | −0.0152668 | − | 0.320489i | −0.993563 | − | 0.113279i | \(-0.963865\pi\) |
0.978296 | − | 0.207210i | \(-0.0664384\pi\) | |||||||
\(242\) | 9.20967 | − | 5.91869i | 0.592020 | − | 0.380468i | ||||
\(243\) | 14.9109 | + | 4.54573i | 0.956538 | + | 0.291609i | ||||
\(244\) | −9.61984 | + | 2.82464i | −0.615847 | + | 0.180829i | ||||
\(245\) | −25.2813 | − | 19.8815i | −1.61516 | − | 1.27018i | ||||
\(246\) | −0.0574703 | − | 2.16834i | −0.00366418 | − | 0.138248i | ||||
\(247\) | 25.4382 | − | 2.42905i | 1.61859 | − | 0.154557i | ||||
\(248\) | 1.18266 | + | 4.87500i | 0.0750992 | + | 0.309563i | ||||
\(249\) | −3.43977 | + | 2.58949i | −0.217986 | + | 0.164102i | ||||
\(250\) | 11.2684 | + | 4.51120i | 0.712678 | + | 0.285313i | ||||
\(251\) | −17.1761 | − | 11.0384i | −1.08415 | − | 0.696739i | −0.128636 | − | 0.991692i | \(-0.541060\pi\) |
−0.955512 | + | 0.294953i | \(0.904696\pi\) | |||||||
\(252\) | −1.31518 | + | 14.6057i | −0.0828484 | + | 0.920071i | ||||
\(253\) | −0.00331493 | − | 1.09833i | −0.000208408 | − | 0.0690516i | ||||
\(254\) | 8.00854 | − | 13.8712i | 0.502500 | − | 0.870356i | ||||
\(255\) | −4.75893 | − | 5.73215i | −0.298016 | − | 0.358961i | ||||
\(256\) | −0.786053 | + | 0.618159i | −0.0491283 | + | 0.0386349i | ||||
\(257\) | −0.707692 | + | 0.993814i | −0.0441446 | + | 0.0619924i | −0.836058 | − | 0.548641i | \(-0.815146\pi\) |
0.791914 | + | 0.610633i | \(0.209085\pi\) | |||||||
\(258\) | 7.28704 | + | 4.90340i | 0.453671 | + | 0.305272i | ||||
\(259\) | 11.4208 | + | 16.0382i | 0.709653 | + | 0.996568i | ||||
\(260\) | −6.74117 | + | 7.77973i | −0.418070 | + | 0.482478i | ||||
\(261\) | −7.51975 | + | 7.97219i | −0.465461 | + | 0.493466i | ||||
\(262\) | −1.37352 | + | 0.403302i | −0.0848563 | + | 0.0249161i | ||||
\(263\) | 18.6603 | − | 3.59647i | 1.15064 | − | 0.221768i | 0.421956 | − | 0.906616i | \(-0.361344\pi\) |
0.728686 | + | 0.684848i | \(0.240132\pi\) | |||||||
\(264\) | 0.281246 | + | 0.279732i | 0.0173095 | + | 0.0172163i | ||||
\(265\) | −10.0974 | − | 5.20558i | −0.620279 | − | 0.319776i | ||||
\(266\) | 7.55529 | − | 21.8296i | 0.463245 | − | 1.33846i | ||||
\(267\) | −10.9268 | + | 18.0359i | −0.668709 | + | 1.10378i | ||||
\(268\) | 5.23226 | + | 4.11469i | 0.319611 | + | 0.251345i | ||||
\(269\) | −18.5317 | + | 21.3867i | −1.12990 | + | 1.30397i | −0.182754 | + | 0.983159i | \(0.558501\pi\) |
−0.947143 | + | 0.320812i | \(0.896044\pi\) | |||||||
\(270\) | 9.64829 | − | 2.18080i | 0.587176 | − | 0.132719i | ||||
\(271\) | 9.28768 | + | 2.72711i | 0.564186 | + | 0.165660i | 0.551374 | − | 0.834258i | \(-0.314104\pi\) |
0.0128118 | + | 0.999918i | \(0.495922\pi\) | |||||||
\(272\) | −2.24929 | − | 0.214782i | −0.136383 | − | 0.0130230i | ||||
\(273\) | 35.3834 | + | 29.0548i | 2.14150 | + | 1.75848i | ||||
\(274\) | 0.407035 | − | 8.54471i | 0.0245899 | − | 0.516205i | ||||
\(275\) | −0.157577 | − | 0.272931i | −0.00950223 | − | 0.0164583i | ||||
\(276\) | −8.10657 | + | 1.81207i | −0.487958 | + | 0.109074i | ||||
\(277\) | 7.68047 | − | 13.3030i | 0.461475 | − | 0.799298i | −0.537560 | − | 0.843226i | \(-0.680654\pi\) |
0.999035 | + | 0.0439278i | \(0.0139871\pi\) | |||||||
\(278\) | −2.06571 | − | 1.32755i | −0.123893 | − | 0.0796212i | ||||
\(279\) | −8.20442 | − | 12.6161i | −0.491186 | − | 0.755307i | ||||
\(280\) | 3.86567 | + | 8.46463i | 0.231018 | + | 0.505858i | ||||
\(281\) | −15.6363 | + | 14.9091i | −0.932781 | + | 0.889405i | −0.994073 | − | 0.108715i | \(-0.965326\pi\) |
0.0612918 | + | 0.998120i | \(0.480478\pi\) | |||||||
\(282\) | −12.9159 | + | 14.2852i | −0.769129 | + | 0.850670i | ||||
\(283\) | 29.9000 | + | 5.76276i | 1.77737 | + | 0.342560i | 0.969179 | − | 0.246357i | \(-0.0792335\pi\) |
0.808193 | + | 0.588917i | \(0.200446\pi\) | |||||||
\(284\) | 8.10270 | − | 3.24383i | 0.480807 | − | 0.192486i | ||||
\(285\) | −15.5780 | − | 0.328772i | −0.922760 | − | 0.0194748i | ||||
\(286\) | 1.21605 | − | 0.234374i | 0.0719063 | − | 0.0138588i | ||||
\(287\) | −5.14991 | + | 3.30965i | −0.303990 | + | 0.195362i | ||||
\(288\) | 1.60828 | − | 2.53248i | 0.0947688 | − | 0.149228i | ||||
\(289\) | 7.78927 | + | 8.98930i | 0.458192 | + | 0.528782i | ||||
\(290\) | −1.63950 | + | 6.75810i | −0.0962746 | + | 0.396849i | ||||
\(291\) | 5.71632 | − | 0.424345i | 0.335097 | − | 0.0248755i | ||||
\(292\) | 14.1253 | + | 2.72242i | 0.826619 | + | 0.159318i | ||||
\(293\) | 2.73896 | − | 0.261539i | 0.160012 | − | 0.0152793i | −0.0147425 | − | 0.999891i | \(-0.504693\pi\) |
0.174755 | + | 0.984612i | \(0.444087\pi\) | |||||||
\(294\) | 26.2872 | − | 12.8573i | 1.53310 | − | 0.749855i | ||||
\(295\) | 21.1011 | + | 2.01491i | 1.22855 | + | 0.117312i | ||||
\(296\) | −0.573220 | − | 3.98683i | −0.0333177 | − | 0.231730i | ||||
\(297\) | −1.07458 | − | 0.511291i | −0.0623536 | − | 0.0296681i | ||||
\(298\) | 2.65719 | 0.153927 | ||||||||
\(299\) | −9.56583 | + | 24.1049i | −0.553206 | + | 1.39402i | ||||
\(300\) | −1.75932 | + | 1.60802i | −0.101575 | + | 0.0928392i | ||||
\(301\) | 1.17947 | − | 24.7601i | 0.0679836 | − | 1.42715i | ||||
\(302\) | −12.2983 | + | 9.67147i | −0.707686 | + | 0.556531i | ||||
\(303\) | 12.9913 | − | 9.77996i | 0.746330 | − | 0.561844i | ||||
\(304\) | −3.42009 | + | 3.26105i | −0.196156 | + | 0.187034i | ||||
\(305\) | 7.92859 | − | 17.3612i | 0.453990 | − | 0.994099i | ||||
\(306\) | 6.57878 | − | 1.63363i | 0.376084 | − | 0.0933887i | ||||
\(307\) | −0.866325 | + | 6.02542i | −0.0494438 | + | 0.343889i | 0.950051 | + | 0.312096i | \(0.101031\pi\) |
−0.999494 | + | 0.0317933i | \(0.989878\pi\) | |||||||
\(308\) | 0.263933 | − | 1.08795i | 0.0150390 | − | 0.0619916i | ||||
\(309\) | 9.33300 | + | 21.6331i | 0.530936 | + | 1.23067i | ||||
\(310\) | −8.48794 | − | 4.37584i | −0.482083 | − | 0.248531i | ||||
\(311\) | −27.5408 | − | 14.1982i | −1.56169 | − | 0.805109i | −0.561937 | − | 0.827180i | \(-0.689944\pi\) |
−0.999756 | + | 0.0220716i | \(0.992974\pi\) | |||||||
\(312\) | −3.71019 | − | 8.59991i | −0.210048 | − | 0.486874i | ||||
\(313\) | 3.92837 | − | 16.1930i | 0.222044 | − | 0.915280i | −0.746290 | − | 0.665621i | \(-0.768167\pi\) |
0.968334 | − | 0.249658i | \(-0.0803183\pi\) | |||||||
\(314\) | 1.24029 | − | 8.62638i | 0.0699934 | − | 0.486815i | ||||
\(315\) | −19.3735 | − | 20.1000i | −1.09157 | − | 1.13251i | ||||
\(316\) | 4.58563 | − | 10.0411i | 0.257962 | − | 0.564858i | ||||
\(317\) | 21.8267 | − | 20.8117i | 1.22591 | − | 1.16890i | 0.246043 | − | 0.969259i | \(-0.420869\pi\) |
0.979868 | − | 0.199645i | \(-0.0639790\pi\) | |||||||
\(318\) | 8.25781 | − | 6.21656i | 0.463075 | − | 0.348607i | ||||
\(319\) | 0.657625 | − | 0.517162i | 0.0368199 | − | 0.0289555i | ||||
\(320\) | 0.0905795 | − | 1.90150i | 0.00506355 | − | 0.106297i | ||||
\(321\) | −20.5847 | + | 18.8144i | −1.14893 | + | 1.05012i | ||||
\(322\) | 16.2288 | + | 16.9178i | 0.904398 | + | 0.942791i | ||||
\(323\) | −10.6777 | −0.594121 | ||||||||
\(324\) | −2.02731 | + | 8.76869i | −0.112628 | + | 0.487150i | ||||
\(325\) | 1.05901 | + | 7.36555i | 0.0587431 | + | 0.408567i | ||||
\(326\) | −5.50130 | − | 0.525310i | −0.304689 | − | 0.0290942i | ||||
\(327\) | −0.444715 | + | 0.217514i | −0.0245928 | + | 0.0120286i | ||||
\(328\) | 1.24666 | − | 0.119042i | 0.0688353 | − | 0.00657297i | ||||
\(329\) | 53.3696 | + | 10.2861i | 2.94236 | + | 0.567093i | ||||
\(330\) | −0.753056 | + | 0.0559023i | −0.0414544 | + | 0.00307732i | ||||
\(331\) | 4.08120 | − | 16.8229i | 0.224323 | − | 0.924672i | −0.742627 | − | 0.669706i | \(-0.766420\pi\) |
0.966950 | − | 0.254967i | \(-0.0820645\pi\) | |||||||
\(332\) | −1.62785 | − | 1.87863i | −0.0893396 | − | 0.103103i | ||||
\(333\) | 5.59485 | + | 10.7102i | 0.306596 | + | 0.586915i | ||||
\(334\) | 2.97532 | − | 1.91212i | 0.162802 | − | 0.104627i | ||||
\(335\) | −12.4424 | + | 2.39808i | −0.679803 | + | 0.131021i | ||||
\(336\) | −8.46483 | − | 0.178649i | −0.461794 | − | 0.00974612i | ||||
\(337\) | −23.0357 | + | 9.22212i | −1.25484 | + | 0.502361i | −0.901355 | − | 0.433081i | \(-0.857427\pi\) |
−0.353482 | + | 0.935442i | \(0.615002\pi\) | |||||||
\(338\) | −15.9478 | − | 3.07369i | −0.867446 | − | 0.167187i | ||||
\(339\) | −2.96739 | + | 3.28199i | −0.161167 | + | 0.178253i | ||||
\(340\) | 3.11304 | − | 2.96827i | 0.168828 | − | 0.160977i | ||||
\(341\) | 0.477251 | + | 1.04503i | 0.0258446 | + | 0.0565917i | ||||
\(342\) | 6.42812 | − | 12.6358i | 0.347593 | − | 0.683265i | ||||
\(343\) | −40.6911 | − | 26.1506i | −2.19711 | − | 1.41200i | ||||
\(344\) | −2.53549 | + | 4.39159i | −0.136704 | + | 0.236779i | ||||
\(345\) | 7.49888 | − | 13.9218i | 0.403726 | − | 0.749523i | ||||
\(346\) | −6.39108 | − | 11.0697i | −0.343587 | − | 0.595109i | ||||
\(347\) | −1.32905 | + | 27.9001i | −0.0713469 | + | 1.49776i | 0.625324 | + | 0.780365i | \(0.284967\pi\) |
−0.696671 | + | 0.717391i | \(0.745336\pi\) | |||||||
\(348\) | −4.88992 | − | 4.01532i | −0.262127 | − | 0.215244i | ||||
\(349\) | −14.1951 | − | 1.35547i | −0.759848 | − | 0.0725567i | −0.292063 | − | 0.956399i | \(-0.594342\pi\) |
−0.467785 | + | 0.883842i | \(0.654948\pi\) | |||||||
\(350\) | 6.45425 | + | 1.89514i | 0.344994 | + | 0.101299i | ||||
\(351\) | 19.0683 | + | 20.6377i | 1.01779 | + | 1.10156i | ||||
\(352\) | −0.149976 | + | 0.173081i | −0.00799373 | + | 0.00922525i | ||||
\(353\) | 20.3369 | + | 15.9931i | 1.08242 | + | 0.851228i | 0.989513 | − | 0.144446i | \(-0.0461401\pi\) |
0.0929120 | + | 0.995674i | \(0.470382\pi\) | |||||||
\(354\) | −9.99340 | + | 16.4952i | −0.531143 | + | 0.876709i | ||||
\(355\) | −5.43420 | + | 15.7011i | −0.288417 | + | 0.833327i | ||||
\(356\) | −10.8215 | − | 5.57888i | −0.573539 | − | 0.295680i | ||||
\(357\) | −13.5639 | − | 13.4909i | −0.717879 | − | 0.714016i | ||||
\(358\) | −17.1058 | + | 3.29687i | −0.904068 | + | 0.174245i | ||||
\(359\) | −27.8856 | + | 8.18794i | −1.47174 | + | 0.432143i | −0.916666 | − | 0.399655i | \(-0.869130\pi\) |
−0.555079 | + | 0.831798i | \(0.687312\pi\) | |||||||
\(360\) | 1.63851 | + | 5.47087i | 0.0863571 | + | 0.288340i | ||||
\(361\) | −2.18168 | + | 2.51779i | −0.114825 | + | 0.132515i | ||||
\(362\) | 1.12877 | + | 1.58513i | 0.0593267 | + | 0.0833127i | ||||
\(363\) | −15.7317 | − | 10.5858i | −0.825703 | − | 0.555609i | ||||
\(364\) | −15.3329 | + | 21.5320i | −0.803660 | + | 1.12858i | ||||
\(365\) | −21.5257 | + | 16.9280i | −1.12671 | + | 0.886051i | ||||
\(366\) | 11.0925 | + | 13.3610i | 0.579815 | + | 0.698389i | ||||
\(367\) | −5.77589 | + | 10.0041i | −0.301499 | + | 0.522212i | −0.976476 | − | 0.215627i | \(-0.930820\pi\) |
0.674977 | + | 0.737839i | \(0.264154\pi\) | |||||||
\(368\) | −1.36502 | − | 4.59747i | −0.0711568 | − | 0.239660i | ||||
\(369\) | −3.40901 | + | 1.57913i | −0.177466 | + | 0.0822062i | ||||
\(370\) | 6.45039 | + | 4.14541i | 0.335340 | + | 0.215510i | ||||
\(371\) | −27.0816 | − | 10.8418i | −1.40601 | − | 0.562881i | ||||
\(372\) | 6.94157 | − | 5.22568i | 0.359903 | − | 0.270939i | ||||
\(373\) | −5.99459 | − | 24.7100i | −0.310388 | − | 1.27944i | −0.886753 | − | 0.462244i | \(-0.847044\pi\) |
0.576365 | − | 0.817192i | \(-0.304471\pi\) | |||||||
\(374\) | −0.515131 | + | 0.0491891i | −0.0266368 | + | 0.00254351i | ||||
\(375\) | −0.557017 | − | 21.0161i | −0.0287642 | − | 1.08526i | ||||
\(376\) | −8.74000 | − | 6.87321i | −0.450731 | − | 0.354459i | ||||
\(377\) | −18.9537 | + | 5.56532i | −0.976167 | + | 0.286628i | ||||
\(378\) | 24.1307 | − | 7.92958i | 1.24115 | − | 0.407854i | ||||
\(379\) | 5.02736 | − | 3.23089i | 0.258238 | − | 0.165960i | −0.405116 | − | 0.914265i | \(-0.632769\pi\) |
0.663354 | + | 0.748306i | \(0.269132\pi\) | |||||||
\(380\) | −0.428045 | − | 8.98577i | −0.0219582 | − | 0.460960i | ||||
\(381\) | −27.5550 | − | 3.21921i | −1.41168 | − | 0.164925i | ||||
\(382\) | −5.75180 | − | 5.48433i | −0.294288 | − | 0.280603i | ||||
\(383\) | −28.6714 | + | 11.4783i | −1.46504 | + | 0.586514i | −0.960848 | − | 0.277077i | \(-0.910634\pi\) |
−0.504193 | + | 0.863591i | \(0.668210\pi\) | |||||||
\(384\) | 1.52242 | + | 0.825979i | 0.0776906 | + | 0.0421506i | ||||
\(385\) | 1.23619 | + | 1.73598i | 0.0630020 | + | 0.0884739i | ||||
\(386\) | −4.39373 | − | 1.29011i | −0.223635 | − | 0.0656651i | ||||
\(387\) | 2.79841 | − | 14.9533i | 0.142251 | − | 0.760120i | ||||
\(388\) | 0.470977 | + | 3.27572i | 0.0239102 | + | 0.166299i | ||||
\(389\) | 9.99307 | − | 5.15178i | 0.506669 | − | 0.261206i | −0.185886 | − | 0.982571i | \(-0.559516\pi\) |
0.692555 | + | 0.721366i | \(0.256485\pi\) | |||||||
\(390\) | 16.9978 | + | 5.38310i | 0.860717 | + | 0.272584i | ||||
\(391\) | 4.93639 | − | 9.64663i | 0.249644 | − | 0.487851i | ||||
\(392\) | 8.44753 | + | 14.6316i | 0.426665 | + | 0.739005i | ||||
\(393\) | 1.58379 | + | 1.90768i | 0.0798915 | + | 0.0962297i | ||||
\(394\) | 0.181268 | + | 0.0725689i | 0.00913217 | + | 0.00365597i | ||||
\(395\) | 8.72945 | + | 19.1148i | 0.439227 | + | 0.961772i | ||||
\(396\) | 0.251908 | − | 0.639211i | 0.0126588 | − | 0.0321216i | ||||
\(397\) | 7.46929 | − | 16.3555i | 0.374873 | − | 0.820858i | −0.624338 | − | 0.781154i | \(-0.714631\pi\) |
0.999212 | − | 0.0397035i | \(-0.0126414\pi\) | |||||||
\(398\) | 4.77514 | + | 13.7969i | 0.239356 | + | 0.691574i | ||||
\(399\) | −39.9007 | + | 2.96199i | −1.99753 | + | 0.148285i | ||||
\(400\) | −0.995930 | − | 0.949618i | −0.0497965 | − | 0.0474809i | ||||
\(401\) | 1.60947 | − | 4.65027i | 0.0803733 | − | 0.232223i | −0.897654 | − | 0.440701i | \(-0.854730\pi\) |
0.978027 | + | 0.208478i | \(0.0668510\pi\) | |||||||
\(402\) | 2.95391 | − | 11.1443i | 0.147328 | − | 0.555829i | ||||
\(403\) | −1.29072 | − | 27.0956i | −0.0642955 | − | 1.34973i | ||||
\(404\) | 6.14803 | + | 7.09521i | 0.305876 | + | 0.353000i | ||||
\(405\) | −10.0881 | − | 13.8480i | −0.501281 | − | 0.688111i | ||||
\(406\) | −2.54132 | + | 17.6753i | −0.126123 | + | 0.877208i | ||||
\(407\) | −0.301704 | − | 0.871716i | −0.0149549 | − | 0.0432094i | ||||
\(408\) | 1.20170 | + | 3.72455i | 0.0594928 | + | 0.184393i | ||||
\(409\) | 2.33421 | + | 9.62173i | 0.115419 | + | 0.475764i | 0.999957 | + | 0.00929538i | \(0.00295885\pi\) |
−0.884538 | + | 0.466469i | \(0.845526\pi\) | |||||||
\(410\) | −1.38286 | + | 1.94195i | −0.0682945 | + | 0.0959062i | ||||
\(411\) | −13.8684 | + | 5.21533i | −0.684080 | + | 0.257253i | ||||
\(412\) | −12.0905 | + | 6.23310i | −0.595658 | + | 0.307083i | ||||
\(413\) | 54.4304 | 2.67834 | ||||||||
\(414\) | 8.44388 | + | 11.6491i | 0.414994 | + | 0.572521i | ||||
\(415\) | 4.73208 | 0.232289 | ||||||||
\(416\) | 4.80640 | − | 2.47787i | 0.235653 | − | 0.121488i | ||||
\(417\) | −0.693968 | + | 4.19608i | −0.0339838 | + | 0.205483i | ||||
\(418\) | −0.627771 | + | 0.881582i | −0.0307053 | + | 0.0431196i | ||||
\(419\) | −5.59583 | − | 23.0663i | −0.273374 | − | 1.12686i | −0.928497 | − | 0.371341i | \(-0.878898\pi\) |
0.655122 | − | 0.755523i | \(-0.272617\pi\) | |||||||
\(420\) | 10.8095 | − | 11.9555i | 0.527450 | − | 0.583370i | ||||
\(421\) | −0.0721045 | − | 0.208332i | −0.00351416 | − | 0.0101535i | 0.943230 | − | 0.332140i | \(-0.107771\pi\) |
−0.946744 | + | 0.321986i | \(0.895649\pi\) | |||||||
\(422\) | −0.496719 | + | 3.45476i | −0.0241799 | + | 0.168175i | ||||
\(423\) | 31.5804 | + | 10.7396i | 1.53549 | + | 0.522177i | ||||
\(424\) | 3.90795 | + | 4.51002i | 0.189787 | + | 0.219026i | ||||
\(425\) | −0.147948 | − | 3.10581i | −0.00717653 | − | 0.150654i | ||||
\(426\) | −10.7182 | − | 10.6606i | −0.519301 | − | 0.516506i | ||||
\(427\) | 16.0294 | − | 46.3140i | 0.775718 | − | 2.24129i | ||||
\(428\) | −11.6527 | − | 11.1109i | −0.563257 | − | 0.537064i | ||||
\(429\) | −1.20709 | − | 1.77314i | −0.0582787 | − | 0.0856082i | ||||
\(430\) | −3.15731 | − | 9.12245i | −0.152259 | − | 0.439924i | ||||
\(431\) | −5.43861 | + | 11.9089i | −0.261968 | + | 0.573631i | −0.994215 | − | 0.107409i | \(-0.965745\pi\) |
0.732246 | + | 0.681040i | \(0.238472\pi\) | |||||||
\(432\) | −5.13102 | − | 0.820172i | −0.246866 | − | 0.0394605i | ||||
\(433\) | −9.53419 | − | 20.8770i | −0.458184 | − | 1.00328i | −0.987898 | − | 0.155106i | \(-0.950428\pi\) |
0.529714 | − | 0.848176i | \(-0.322299\pi\) | |||||||
\(434\) | −22.7650 | − | 9.11372i | −1.09275 | − | 0.437472i | ||||
\(435\) | 11.8727 | − | 2.02945i | 0.569253 | − | 0.0973046i | ||||
\(436\) | −0.142911 | − | 0.247530i | −0.00684421 | − | 0.0118545i | ||||
\(437\) | −8.48656 | − | 21.0144i | −0.405967 | − | 1.00525i | ||||
\(438\) | −5.36194 | − | 24.3322i | −0.256203 | − | 1.16264i | ||||
\(439\) | −22.2407 | + | 11.4659i | −1.06149 | + | 0.547237i | −0.898311 | − | 0.439359i | \(-0.855206\pi\) |
−0.163180 | + | 0.986596i | \(0.552175\pi\) | |||||||
\(440\) | −0.0620455 | − | 0.431536i | −0.00295790 | − | 0.0205727i | ||||
\(441\) | −38.4839 | − | 32.9846i | −1.83257 | − | 1.57069i | ||||
\(442\) | 11.7235 | + | 3.44233i | 0.557630 | + | 0.163735i | ||||
\(443\) | 2.03509 | + | 2.85789i | 0.0966901 | + | 0.135782i | 0.860087 | − | 0.510148i | \(-0.170409\pi\) |
−0.763397 | + | 0.645930i | \(0.776470\pi\) | |||||||
\(444\) | −5.94720 | + | 3.64705i | −0.282242 | + | 0.173082i | ||||
\(445\) | 21.5167 | − | 8.61397i | 1.01999 | − | 0.408341i | ||||
\(446\) | 3.57715 | + | 3.41081i | 0.169383 | + | 0.161506i | ||||
\(447\) | −1.82314 | − | 4.22588i | −0.0862314 | − | 0.199877i | ||||
\(448\) | −0.232593 | − | 4.88272i | −0.0109890 | − | 0.230687i | ||||
\(449\) | −3.91025 | + | 2.51297i | −0.184536 | + | 0.118594i | −0.629647 | − | 0.776881i | \(-0.716801\pi\) |
0.445111 | + | 0.895475i | \(0.353164\pi\) | |||||||
\(450\) | 3.76443 | + | 1.69467i | 0.177457 | + | 0.0798874i | ||||
\(451\) | 0.275190 | − | 0.0808030i | 0.0129582 | − | 0.00380487i | ||||
\(452\) | −2.00800 | − | 1.57911i | −0.0944482 | − | 0.0742749i | ||||
\(453\) | 23.8192 | + | 12.9229i | 1.11912 | + | 0.607173i | ||||
\(454\) | −10.8949 | + | 1.04033i | −0.511321 | + | 0.0488252i | ||||
\(455\) | −11.8634 | − | 48.9016i | −0.556164 | − | 2.29254i | ||||
\(456\) | 7.53283 | + | 3.20172i | 0.352757 | + | 0.149934i | ||||
\(457\) | 37.3572 | + | 14.9556i | 1.74750 | + | 0.699592i | 0.999350 | + | 0.0360586i | \(0.0114803\pi\) |
0.748147 | + | 0.663533i | \(0.230944\pi\) | |||||||
\(458\) | 12.2115 | + | 7.84788i | 0.570608 | + | 0.366707i | ||||
\(459\) | −7.11187 | − | 9.34176i | −0.331954 | − | 0.436036i | ||||
\(460\) | 8.31599 | + | 3.76749i | 0.387735 | + | 0.175660i | ||||
\(461\) | −16.3445 | + | 28.3094i | −0.761237 | + | 1.31850i | 0.180976 | + | 0.983487i | \(0.442074\pi\) |
−0.942213 | + | 0.335014i | \(0.891259\pi\) | |||||||
\(462\) | −1.91132 | + | 0.326709i | −0.0889225 | + | 0.0151999i | ||||
\(463\) | −23.9964 | + | 18.8710i | −1.11521 | + | 0.877009i | −0.993304 | − | 0.115533i | \(-0.963142\pi\) |
−0.121904 | + | 0.992542i | \(0.538900\pi\) | |||||||
\(464\) | 2.11897 | − | 2.97568i | 0.0983708 | − | 0.138142i | ||||
\(465\) | −1.13545 | + | 16.5012i | −0.0526551 | + | 0.765225i | ||||
\(466\) | −8.72615 | − | 12.2542i | −0.404231 | − | 0.567663i | ||||
\(467\) | 8.48521 | − | 9.79246i | 0.392649 | − | 0.453141i | −0.524663 | − | 0.851310i | \(-0.675809\pi\) |
0.917312 | + | 0.398169i | \(0.130354\pi\) | |||||||
\(468\) | −11.1313 | + | 11.8011i | −0.514546 | + | 0.545504i | ||||
\(469\) | −31.2200 | + | 9.16703i | −1.44161 | + | 0.423294i | ||||
\(470\) | 20.7839 | − | 4.00577i | 0.958691 | − | 0.184773i | ||||
\(471\) | −14.5700 | + | 3.94619i | −0.671351 | + | 0.181831i | ||||
\(472\) | −9.89711 | − | 5.10232i | −0.455551 | − | 0.234853i | ||||
\(473\) | −0.379840 | + | 1.09748i | −0.0174651 | + | 0.0504620i | ||||
\(474\) | −19.1153 | − | 0.403426i | −0.877994 | − | 0.0185300i | ||||
\(475\) | −5.11165 | − | 4.01984i | −0.234538 | − | 0.184443i | ||||
\(476\) | 7.23303 | − | 8.34736i | 0.331525 | − | 0.382601i | ||||
\(477\) | −15.5524 | − | 8.86762i | −0.712095 | − | 0.406020i | ||||
\(478\) | 23.1524 | + | 6.79815i | 1.05896 | + | 0.310940i | ||||
\(479\) | 9.56463 | + | 0.913312i | 0.437019 | + | 0.0417303i | 0.311247 | − | 0.950329i | \(-0.399253\pi\) |
0.125772 | + | 0.992059i | \(0.459859\pi\) | |||||||
\(480\) | −3.08621 | + | 1.16059i | −0.140866 | + | 0.0529736i | ||||
\(481\) | −1.03636 | + | 21.7559i | −0.0472540 | + | 0.991984i | ||||
\(482\) | −2.49048 | − | 4.31365i | −0.113438 | − | 0.196481i | ||||
\(483\) | 15.7705 | − | 37.4173i | 0.717583 | − | 1.70254i | ||||
\(484\) | 5.47378 | − | 9.48086i | 0.248808 | − | 0.430948i | ||||
\(485\) | −5.29986 | − | 3.40601i | −0.240654 | − | 0.154659i | ||||
\(486\) | 15.3364 | − | 2.79218i | 0.695671 | − | 0.126656i | ||||
\(487\) | 15.4725 | + | 33.8801i | 0.701127 | + | 1.53525i | 0.838600 | + | 0.544748i | \(0.183375\pi\) |
−0.137473 | + | 0.990506i | \(0.543898\pi\) | |||||||
\(488\) | −7.25613 | + | 6.91870i | −0.328469 | + | 0.313195i | ||||
\(489\) | 2.93909 | + | 9.10946i | 0.132910 | + | 0.411944i | ||||
\(490\) | −31.5812 | − | 6.08677i | −1.42669 | − | 0.274972i | ||||
\(491\) | 13.9019 | − | 5.56546i | 0.627382 | − | 0.251166i | −0.0361116 | − | 0.999348i | \(-0.511497\pi\) |
0.663494 | + | 0.748182i | \(0.269073\pi\) | |||||||
\(492\) | −1.04467 | − | 1.90096i | −0.0470974 | − | 0.0857019i | ||||
\(493\) | 8.10498 | − | 1.56211i | 0.365030 | − | 0.0703537i | ||||
\(494\) | 21.4973 | − | 13.8155i | 0.967210 | − | 0.621588i | ||||
\(495\) | 0.605588 | + | 1.15927i | 0.0272192 | + | 0.0521055i | ||||
\(496\) | 3.28505 | + | 3.79115i | 0.147503 | + | 0.170228i | ||||
\(497\) | −10.0585 | + | 41.4616i | −0.451184 | + | 1.85980i | ||||
\(498\) | −1.87081 | + | 3.87782i | −0.0838332 | + | 0.173769i | ||||
\(499\) | 11.3738 | + | 2.19212i | 0.509161 | + | 0.0981327i | 0.437360 | − | 0.899286i | \(-0.355913\pi\) |
0.0718005 | + | 0.997419i | \(0.477126\pi\) | |||||||
\(500\) | 12.0829 | − | 1.15378i | 0.540365 | − | 0.0515986i | ||||
\(501\) | −5.08237 | − | 3.41989i | −0.227064 | − | 0.152789i | ||||
\(502\) | −20.3249 | − | 1.94079i | −0.907142 | − | 0.0866216i | ||||
\(503\) | 1.51919 | + | 10.5662i | 0.0677374 | + | 0.471124i | 0.995252 | + | 0.0973362i | \(0.0310322\pi\) |
−0.927514 | + | 0.373788i | \(0.878059\pi\) | |||||||
\(504\) | 5.52373 | + | 13.5847i | 0.246047 | + | 0.605110i | ||||
\(505\) | −17.8721 | −0.795298 | ||||||||
\(506\) | −0.506231 | − | 0.974718i | −0.0225047 | − | 0.0433315i | ||||
\(507\) | 6.05377 | + | 27.4717i | 0.268857 | + | 1.22006i | ||||
\(508\) | 0.762123 | − | 15.9989i | 0.0338137 | − | 0.709838i | ||||
\(509\) | 8.05995 | − | 6.33841i | 0.357251 | − | 0.280945i | −0.423361 | − | 0.905961i | \(-0.639150\pi\) |
0.780612 | + | 0.625016i | \(0.214907\pi\) | |||||||
\(510\) | −6.85653 | − | 2.91427i | −0.303612 | − | 0.129046i | ||||
\(511\) | −50.8921 | + | 48.5255i | −2.25133 | + | 2.14664i | ||||
\(512\) | −0.415415 | + | 0.909632i | −0.0183589 | + | 0.0402004i | ||||
\(513\) | −24.5059 | − | 1.55343i | −1.08196 | − | 0.0685855i | ||||
\(514\) | −0.173630 | + | 1.20762i | −0.00765847 | + | 0.0532659i | ||||
\(515\) | 6.10492 | − | 25.1648i | 0.269015 | − | 1.10890i | ||||
\(516\) | 8.72385 | + | 1.01920i | 0.384046 | + | 0.0448676i | ||||
\(517\) | −2.26336 | − | 1.16684i | −0.0995423 | − | 0.0513176i | ||||
\(518\) | 17.5003 | + | 9.02205i | 0.768921 | + | 0.396406i | ||||
\(519\) | −13.2197 | + | 17.7592i | −0.580283 | + | 0.779542i | ||||
\(520\) | −2.42692 | + | 10.0039i | −0.106427 | + | 0.438699i | ||||
\(521\) | 2.93437 | − | 20.4090i | 0.128557 | − | 0.894133i | −0.818829 | − | 0.574038i | \(-0.805376\pi\) |
0.947386 | − | 0.320095i | \(-0.103715\pi\) | |||||||
\(522\) | −3.03075 | + | 10.5317i | −0.132652 | + | 0.460960i | ||||
\(523\) | −14.4524 | + | 31.6463i | −0.631959 | + | 1.38380i | 0.274534 | + | 0.961577i | \(0.411476\pi\) |
−0.906493 | + | 0.422220i | \(0.861251\pi\) | |||||||
\(524\) | −1.03603 | + | 0.987852i | −0.0452591 | + | 0.0431545i | ||||
\(525\) | −1.41441 | − | 11.5649i | −0.0617299 | − | 0.504732i | ||||
\(526\) | 14.9379 | − | 11.7473i | 0.651324 | − | 0.512207i | ||||
\(527\) | −0.539327 | + | 11.3219i | −0.0234934 | + | 0.493188i | ||||
\(528\) | 0.378162 | + | 0.119762i | 0.0164574 | + | 0.00521195i | ||||
\(529\) | 22.9086 | + | 2.04804i | 0.996028 | + | 0.0890454i | ||||
\(530\) | −11.3603 | −0.493458 | ||||||||
\(531\) | 33.0899 | + | 4.57550i | 1.43598 | + | 0.198560i | ||||
\(532\) | −3.28748 | − | 22.8649i | −0.142530 | − | 0.991321i | ||||
\(533\) | −6.74134 | − | 0.643720i | −0.292000 | − | 0.0278826i | ||||
\(534\) | −1.44761 | + | 21.0379i | −0.0626444 | + | 0.910397i | ||||
\(535\) | 30.5117 | − | 2.91351i | 1.31914 | − | 0.125962i | ||||
\(536\) | 6.53608 | + | 1.25973i | 0.282316 | + | 0.0544119i | ||||
\(537\) | 16.9797 | + | 24.9423i | 0.732730 | + | 1.07634i | ||||
\(538\) | −6.67166 | + | 27.5010i | −0.287636 | + | 1.18565i | ||||
\(539\) | 2.53385 | + | 2.92422i | 0.109141 | + | 0.125955i | ||||
\(540\) | 7.57644 | − | 6.35947i | 0.326038 | − | 0.273668i | ||||
\(541\) | −18.9830 | + | 12.1997i | −0.816145 | + | 0.524504i | −0.880847 | − | 0.473400i | \(-0.843026\pi\) |
0.0647027 | + | 0.997905i | \(0.479390\pi\) | |||||||
\(542\) | 9.50485 | − | 1.83191i | 0.408268 | − | 0.0786873i | ||||
\(543\) | 1.74647 | − | 2.88273i | 0.0749480 | − | 0.123710i | ||||
\(544\) | −2.09767 | + | 0.839781i | −0.0899369 | + | 0.0360053i | ||||
\(545\) | 0.534275 | + | 0.102973i | 0.0228858 | + | 0.00441088i | ||||
\(546\) | 44.7637 | + | 9.61133i | 1.91571 | + | 0.411327i | ||||
\(547\) | 14.6114 | − | 13.9320i | 0.624740 | − | 0.595689i | −0.310123 | − | 0.950696i | \(-0.600370\pi\) |
0.934863 | + | 0.355008i | \(0.115522\pi\) | |||||||
\(548\) | −3.55363 | − | 7.78136i | −0.151803 | − | 0.332403i | ||||
\(549\) | 13.6380 | − | 26.8083i | 0.582056 | − | 1.14415i | ||||
\(550\) | −0.265124 | − | 0.170385i | −0.0113049 | − | 0.00726523i | ||||
\(551\) | 8.63145 | − | 14.9501i | 0.367712 | − | 0.636896i | ||||
\(552\) | −6.37506 | + | 5.32527i | −0.271341 | + | 0.226659i | ||||
\(553\) | 26.9799 | + | 46.7306i | 1.14730 | + | 1.98719i | ||||
\(554\) | 0.730903 | − | 15.3435i | 0.0310531 | − | 0.651885i | ||||
\(555\) | 2.16699 | − | 13.1027i | 0.0919835 | − | 0.556178i | ||||
\(556\) | −2.44440 | − | 0.233411i | −0.103665 | − | 0.00989885i | ||||
\(557\) | −9.14477 | − | 2.68515i | −0.387477 | − | 0.113773i | 0.0821913 | − | 0.996617i | \(-0.473808\pi\) |
−0.469668 | + | 0.882843i | \(0.655626\pi\) | |||||||
\(558\) | −13.0734 | − | 7.45417i | −0.553442 | − | 0.315560i | ||||
\(559\) | 17.9572 | − | 20.7237i | 0.759509 | − | 0.876520i | ||||
\(560\) | 7.31466 | + | 5.75231i | 0.309101 | + | 0.243080i | ||||
\(561\) | 0.431668 | + | 0.785495i | 0.0182250 | + | 0.0331636i | ||||
\(562\) | −7.06630 | + | 20.4167i | −0.298074 | + | 0.861228i | ||||
\(563\) | −25.7660 | − | 13.2833i | −1.08591 | − | 0.559825i | −0.180159 | − | 0.983637i | \(-0.557661\pi\) |
−0.905750 | + | 0.423812i | \(0.860692\pi\) | |||||||
\(564\) | −4.93423 | + | 18.6156i | −0.207769 | + | 0.783857i | ||||
\(565\) | 4.77506 | − | 0.920318i | 0.200888 | − | 0.0387181i | ||||
\(566\) | 29.2169 | − | 8.57884i | 1.22808 | − | 0.360596i | ||||
\(567\) | −29.1673 | − | 32.9358i | −1.22491 | − | 1.38317i | ||||
\(568\) | 5.71555 | − | 6.59610i | 0.239819 | − | 0.276766i | ||||
\(569\) | 7.49049 | + | 10.5189i | 0.314018 | + | 0.440976i | 0.941177 | − | 0.337915i | \(-0.109722\pi\) |
−0.627159 | + | 0.778891i | \(0.715782\pi\) | |||||||
\(570\) | −13.9969 | + | 6.84602i | −0.586266 | + | 0.286748i | ||||
\(571\) | −13.6554 | + | 19.1764i | −0.571462 | + | 0.802506i | −0.994624 | − | 0.103548i | \(-0.966981\pi\) |
0.423162 | + | 0.906054i | \(0.360920\pi\) | |||||||
\(572\) | 0.973469 | − | 0.765544i | 0.0407028 | − | 0.0320090i | ||||
\(573\) | −4.77566 | + | 12.9103i | −0.199506 | + | 0.539337i | ||||
\(574\) | −3.06086 | + | 5.30156i | −0.127758 | + | 0.221283i | ||||
\(575\) | 5.99485 | − | 2.75965i | 0.250003 | − | 0.115086i | ||||
\(576\) | 0.269048 | − | 2.98791i | 0.0112103 | − | 0.124496i | ||||
\(577\) | −8.91791 | − | 5.73119i | −0.371257 | − | 0.238593i | 0.341686 | − | 0.939814i | \(-0.389002\pi\) |
−0.712943 | + | 0.701222i | \(0.752638\pi\) | |||||||
\(578\) | 11.0425 | + | 4.42076i | 0.459308 | + | 0.183879i | ||||
\(579\) | 0.962858 | + | 7.87277i | 0.0400150 | + | 0.327181i | ||||
\(580\) | 1.63950 | + | 6.75810i | 0.0680764 | + | 0.280615i | ||||
\(581\) | 12.0962 | − | 1.15504i | 0.501833 | − | 0.0479193i | ||||
\(582\) | 4.88642 | − | 2.99654i | 0.202549 | − | 0.124211i | ||||
\(583\) | 1.07430 | + | 0.844836i | 0.0444928 | + | 0.0349895i | ||||
\(584\) | 13.8025 | − | 4.05279i | 0.571153 | − | 0.167706i | ||||
\(585\) | −3.10139 | − | 30.7260i | −0.128227 | − | 1.27037i | ||||
\(586\) | 2.31464 | − | 1.48753i | 0.0956171 | − | 0.0614494i | ||||
\(587\) | 0.219921 | + | 4.61671i | 0.00907710 | + | 0.190552i | 0.998852 | + | 0.0479110i | \(0.0152564\pi\) |
−0.989775 | + | 0.142641i | \(0.954441\pi\) | |||||||
\(588\) | 17.4735 | − | 23.4736i | 0.720593 | − | 0.968033i | ||||
\(589\) | 17.1566 | + | 16.3588i | 0.706925 | + | 0.674051i | ||||
\(590\) | 19.6787 | − | 7.87814i | 0.810157 | − | 0.324338i | ||||
\(591\) | −0.00896039 | − | 0.338073i | −0.000368581 | − | 0.0139064i | ||||
\(592\) | −2.33637 | − | 3.28097i | −0.0960242 | − | 0.134847i | ||||
\(593\) | 27.7643 | + | 8.15233i | 1.14014 | + | 0.334776i | 0.796686 | − | 0.604393i | \(-0.206584\pi\) |
0.343456 | + | 0.939169i | \(0.388402\pi\) | |||||||
\(594\) | −1.18941 | + | 0.0379486i | −0.0488022 | + | 0.00155705i | ||||
\(595\) | 2.99233 | + | 20.8121i | 0.122674 | + | 0.853214i | ||||
\(596\) | 2.36180 | − | 1.21759i | 0.0967431 | − | 0.0498745i | ||||
\(597\) | 18.6657 | − | 17.0604i | 0.763936 | − | 0.698237i | ||||
\(598\) | 2.54305 | + | 25.8086i | 0.103993 | + | 1.05539i | ||||
\(599\) | −12.4076 | − | 21.4906i | −0.506961 | − | 0.878081i | −0.999968 | − | 0.00805605i | \(-0.997436\pi\) |
0.493007 | − | 0.870025i | \(-0.335898\pi\) | |||||||
\(600\) | −0.826910 | + | 2.23544i | −0.0337585 | + | 0.0912613i | ||||
\(601\) | 35.2331 | + | 14.1052i | 1.43719 | + | 0.575364i | 0.953908 | − | 0.300101i | \(-0.0970202\pi\) |
0.483282 | + | 0.875465i | \(0.339444\pi\) | |||||||
\(602\) | −10.2974 | − | 22.5482i | −0.419691 | − | 0.918994i | ||||
\(603\) | −19.7502 | + | 2.94852i | −0.804291 | + | 0.120073i | ||||
\(604\) | −6.49942 | + | 14.2317i | −0.264458 | + | 0.579081i | ||||
\(605\) | 6.81621 | + | 19.6942i | 0.277118 | + | 0.800681i | ||||
\(606\) | 7.06568 | − | 14.6457i | 0.287023 | − | 0.594942i | ||||
\(607\) | −12.6881 | − | 12.0981i | −0.514994 | − | 0.491046i | 0.387428 | − | 0.921900i | \(-0.373364\pi\) |
−0.902421 | + | 0.430854i | \(0.858212\pi\) | |||||||
\(608\) | −1.54560 | + | 4.46572i | −0.0626824 | + | 0.181109i | ||||
\(609\) | 29.8537 | − | 8.08566i | 1.20973 | − | 0.327647i | ||||
\(610\) | −0.908147 | − | 19.0643i | −0.0367698 | − | 0.771893i | ||||
\(611\) | 39.3738 | + | 45.4397i | 1.59289 | + | 1.83830i | ||||
\(612\) | 5.09888 | − | 4.46660i | 0.206110 | − | 0.180552i | ||||
\(613\) | 3.37697 | − | 23.4873i | 0.136395 | − | 0.948645i | −0.800575 | − | 0.599233i | \(-0.795472\pi\) |
0.936969 | − | 0.349412i | \(-0.113619\pi\) | |||||||
\(614\) | 1.99099 | + | 5.75258i | 0.0803497 | + | 0.232155i | ||||
\(615\) | 4.03720 | + | 0.866838i | 0.162796 | + | 0.0349543i | ||||
\(616\) | −0.263933 | − | 1.08795i | −0.0106342 | − | 0.0438347i | ||||
\(617\) | 0.841796 | − | 1.18214i | 0.0338894 | − | 0.0475911i | −0.797284 | − | 0.603605i | \(-0.793730\pi\) |
0.831173 | + | 0.556014i | \(0.187670\pi\) | |||||||
\(618\) | 18.2084 | + | 14.9517i | 0.732448 | + | 0.601444i | ||||
\(619\) | −10.7190 | + | 5.52601i | −0.430831 | + | 0.222109i | −0.659981 | − | 0.751282i | \(-0.729436\pi\) |
0.229150 | + | 0.973391i | \(0.426405\pi\) | |||||||
\(620\) | −9.54951 | −0.383517 | ||||||||
\(621\) | 12.7327 | − | 21.4214i | 0.510947 | − | 0.859612i | ||||
\(622\) | −30.9852 | −1.24239 | ||||||||
\(623\) | 52.8984 | − | 27.2710i | 2.11933 | − | 1.09259i | ||||
\(624\) | −7.23845 | − | 5.94380i | −0.289770 | − | 0.237942i | ||||
\(625\) | −9.41192 | + | 13.2172i | −0.376477 | + | 0.528688i | ||||
\(626\) | −3.92837 | − | 16.1930i | −0.157009 | − | 0.647201i | ||||
\(627\) | 1.83276 | + | 0.393516i | 0.0731932 | + | 0.0157155i | ||||
\(628\) | −2.85043 | − | 8.23576i | −0.113744 | − | 0.328643i | ||||
\(629\) | 1.29520 | − | 9.00835i | 0.0516432 | − | 0.359186i | ||||
\(630\) | −26.4302 | − | 8.98815i | −1.05300 | − | 0.358096i | ||||
\(631\) | −16.7408 | − | 19.3200i | −0.666442 | − | 0.769116i | 0.317373 | − | 0.948301i | \(-0.397199\pi\) |
−0.983815 | + | 0.179185i | \(0.942654\pi\) | |||||||
\(632\) | −0.525241 | − | 11.0262i | −0.0208930 | − | 0.438597i | ||||
\(633\) | 5.83511 | − | 1.58040i | 0.231925 | − | 0.0628153i | ||||
\(634\) | 9.86388 | − | 28.4998i | 0.391745 | − | 1.13187i | ||||
\(635\) | 22.0674 | + | 21.0412i | 0.875716 | + | 0.834994i | ||||
\(636\) | 4.49125 | − | 9.30945i | 0.178089 | − | 0.369144i | ||||
\(637\) | −29.8811 | − | 86.3357i | −1.18393 | − | 3.42075i | ||||
\(638\) | 0.347543 | − | 0.761013i | 0.0137594 | − | 0.0301288i | ||||
\(639\) | −9.60017 | + | 24.3602i | −0.379777 | + | 0.963676i | ||||
\(640\) | −0.790807 | − | 1.73162i | −0.0312594 | − | 0.0684485i | ||||
\(641\) | 13.6377 | + | 5.45970i | 0.538656 | + | 0.215645i | 0.625006 | − | 0.780620i | \(-0.285096\pi\) |
−0.0863508 | + | 0.996265i | \(0.527521\pi\) | |||||||
\(642\) | −9.67516 | + | 26.1554i | −0.381848 | + | 1.03227i | ||||
\(643\) | 21.8770 | + | 37.8921i | 0.862746 | + | 1.49432i | 0.869268 | + | 0.494340i | \(0.164590\pi\) |
−0.00652287 | + | 0.999979i | \(0.502076\pi\) | |||||||
\(644\) | 22.1769 | + | 7.60064i | 0.873894 | + | 0.299507i | ||||
\(645\) | −12.3417 | + | 11.2803i | −0.485954 | + | 0.444162i | ||||
\(646\) | −9.49069 | + | 4.89279i | −0.373406 | + | 0.192504i | ||||
\(647\) | 4.90609 | + | 34.1226i | 0.192878 | + | 1.34150i | 0.824342 | + | 0.566092i | \(0.191545\pi\) |
−0.631464 | + | 0.775405i | \(0.717546\pi\) | |||||||
\(648\) | 2.21610 | + | 8.72289i | 0.0870567 | + | 0.342668i | ||||
\(649\) | −2.44681 | − | 0.718449i | −0.0960458 | − | 0.0282016i | ||||
\(650\) | 4.31637 | + | 6.06150i | 0.169302 | + | 0.237751i | ||||
\(651\) | 1.12531 | + | 42.4576i | 0.0441043 | + | 1.66404i | ||||
\(652\) | −5.13046 | + | 2.05393i | −0.200924 | + | 0.0804379i | ||||
\(653\) | 14.1963 | + | 13.5362i | 0.555546 | + | 0.529712i | 0.915001 | − | 0.403450i | \(-0.132189\pi\) |
−0.359456 | + | 0.933162i | \(0.617038\pi\) | |||||||
\(654\) | −0.295608 | + | 0.397115i | −0.0115592 | + | 0.0155284i | ||||
\(655\) | −0.129665 | − | 2.72200i | −0.00506643 | − | 0.106358i | ||||
\(656\) | 1.05353 | − | 0.677061i | 0.0411333 | − | 0.0264348i | ||||
\(657\) | −35.0180 | + | 25.2221i | −1.36618 | + | 0.984008i | ||||
\(658\) | 52.1501 | − | 15.3127i | 2.03302 | − | 0.596950i | ||||
\(659\) | 23.4488 | + | 18.4404i | 0.913437 | + | 0.718335i | 0.959828 | − | 0.280588i | \(-0.0905295\pi\) |
−0.0463908 | + | 0.998923i | \(0.514772\pi\) | |||||||
\(660\) | −0.643727 | + | 0.394758i | −0.0250570 | + | 0.0153659i | ||||
\(661\) | 6.83353 | − | 0.652523i | 0.265794 | − | 0.0253802i | 0.0386917 | − | 0.999251i | \(-0.487681\pi\) |
0.227102 | + | 0.973871i | \(0.427075\pi\) | |||||||
\(662\) | −4.08120 | − | 16.8229i | −0.158620 | − | 0.653842i | ||||
\(663\) | −2.56913 | − | 21.0064i | −0.0997769 | − | 0.815822i | ||||
\(664\) | −2.30773 | − | 0.923874i | −0.0895572 | − | 0.0358533i | ||||
\(665\) | 36.9937 | + | 23.7744i | 1.43456 | + | 0.921933i | ||||
\(666\) | 9.88060 | + | 6.95589i | 0.382865 | + | 0.269535i | ||||
\(667\) | 9.51613 | + | 14.7096i | 0.368466 | + | 0.569557i | ||||
\(668\) | 1.76838 | − | 3.06293i | 0.0684208 | − | 0.118508i | ||||
\(669\) | 2.97007 | − | 8.02917i | 0.114830 | − | 0.310426i | ||||
\(670\) | −9.96041 | + | 7.83296i | −0.384804 | + | 0.302613i | ||||
\(671\) | −1.33189 | + | 1.87038i | −0.0514170 | + | 0.0722051i | ||||
\(672\) | −7.60570 | + | 3.72002i | −0.293396 | + | 0.143503i | ||||
\(673\) | −9.95305 | − | 13.9771i | −0.383662 | − | 0.538778i | 0.576911 | − | 0.816807i | \(-0.304258\pi\) |
−0.960573 | + | 0.278029i | \(0.910319\pi\) | |||||||
\(674\) | −16.2492 | + | 18.7525i | −0.625894 | + | 0.722321i | ||||
\(675\) | 0.112296 | − | 7.14954i | 0.00432226 | − | 0.275186i | ||||
\(676\) | −15.5834 | + | 4.57570i | −0.599362 | + | 0.175989i | ||||
\(677\) | −19.0433 | + | 3.67029i | −0.731893 | + | 0.141061i | −0.541564 | − | 0.840659i | \(-0.682168\pi\) |
−0.190329 | + | 0.981720i | \(0.560956\pi\) | |||||||
\(678\) | −1.13363 | + | 4.27689i | −0.0435368 | + | 0.164253i | ||||
\(679\) | −14.3789 | − | 7.41283i | −0.551811 | − | 0.284478i | ||||
\(680\) | 1.40684 | − | 4.06478i | 0.0539497 | − | 0.155877i | ||||
\(681\) | 9.12964 | + | 16.6130i | 0.349848 | + | 0.636610i | ||||
\(682\) | 0.903060 | + | 0.710174i | 0.0345799 | + | 0.0271940i | ||||
\(683\) | 3.28984 | − | 3.79668i | 0.125882 | − | 0.145276i | −0.689310 | − | 0.724467i | \(-0.742086\pi\) |
0.815192 | + | 0.579191i | \(0.196631\pi\) | |||||||
\(684\) | −0.0765031 | − | 14.1767i | −0.00292517 | − | 0.542058i | ||||
\(685\) | 15.6250 | + | 4.58791i | 0.597000 | + | 0.175295i | ||||
\(686\) | −48.1506 | − | 4.59783i | −1.83840 | − | 0.175546i | ||||
\(687\) | 4.10243 | − | 24.8053i | 0.156517 | − | 0.946381i | ||||
\(688\) | −0.241287 | + | 5.06523i | −0.00919897 | + | 0.193110i | ||||
\(689\) | −16.1350 | − | 27.9466i | −0.614694 | − | 1.06468i | ||||
\(690\) | 0.285940 | − | 15.8104i | 0.0108855 | − | 0.601890i | ||||
\(691\) | 4.58560 | − | 7.94249i | 0.174445 | − | 0.302147i | −0.765524 | − | 0.643407i | \(-0.777520\pi\) |
0.939969 | + | 0.341260i | \(0.110854\pi\) | |||||||
\(692\) | −10.7530 | − | 6.91056i | −0.408769 | − | 0.262700i | ||||
\(693\) | 1.83097 | + | 2.81552i | 0.0695528 | + | 0.106953i | ||||
\(694\) | 11.6033 | + | 25.4076i | 0.440454 | + | 0.964459i | ||||
\(695\) | 3.38306 | − | 3.22574i | 0.128327 | − | 0.122359i | ||||
\(696\) | −6.18626 | − | 1.32827i | −0.234490 | − | 0.0503479i | ||||
\(697\) | 2.77854 | + | 0.535519i | 0.105245 | + | 0.0202842i | ||||
\(698\) | −13.2382 | + | 5.29979i | −0.501075 | + | 0.200600i | ||||
\(699\) | −13.5014 | + | 22.2855i | −0.510669 | + | 0.842915i | ||||
\(700\) | 6.60517 | − | 1.27304i | 0.249652 | − | 0.0481165i | ||||
\(701\) | −32.9775 | + | 21.1933i | −1.24554 | + | 0.800461i | −0.986237 | − | 0.165335i | \(-0.947130\pi\) |
−0.259304 | + | 0.965796i | \(0.583493\pi\) | |||||||
\(702\) | 26.4053 | + | 9.60593i | 0.996605 | + | 0.362553i | ||||
\(703\) | −12.4646 | − | 14.3849i | −0.470112 | − | 0.542538i | ||||
\(704\) | −0.0539933 | + | 0.222563i | −0.00203495 | + | 0.00838818i | ||||
\(705\) | −20.6308 | − | 30.3055i | −0.777001 | − | 1.14137i | ||||
\(706\) | 25.4046 | + | 4.89634i | 0.956116 | + | 0.184276i | ||||
\(707\) | −45.6847 | + | 4.36236i | −1.71815 | + | 0.164063i | ||||
\(708\) | −1.32395 | + | 19.2407i | −0.0497573 | + | 0.723112i | ||||
\(709\) | −4.76953 | − | 0.455435i | −0.179123 | − | 0.0171042i | 0.00510888 | − | 0.999987i | \(-0.498374\pi\) |
−0.184232 | + | 0.982883i | \(0.558980\pi\) | |||||||
\(710\) | 2.36455 | + | 16.4458i | 0.0887398 | + | 0.617199i | ||||
\(711\) | 12.4737 | + | 30.6770i | 0.467800 | + | 1.15048i | ||||
\(712\) | −12.1749 | −0.456275 | ||||||||
\(713\) | −22.7108 | + | 7.93713i | −0.850527 | + | 0.297248i | ||||
\(714\) | −18.2380 | − | 5.77587i | −0.682540 | − | 0.216156i | ||||
\(715\) | −0.112176 | + | 2.35487i | −0.00419515 | + | 0.0880670i | ||||
\(716\) | −13.6935 | + | 10.7687i | −0.511750 | + | 0.402445i | ||||
\(717\) | −5.07370 | − | 41.4849i | −0.189481 | − | 1.54928i | ||||
\(718\) | −21.0338 | + | 20.0556i | −0.784973 | + | 0.748470i | ||||
\(719\) | 10.6347 | − | 23.2867i | 0.396607 | − | 0.868449i | −0.600996 | − | 0.799252i | \(-0.705229\pi\) |
0.997603 | − | 0.0691965i | \(-0.0220435\pi\) | |||||||
\(720\) | 3.96326 | + | 4.11189i | 0.147702 | + | 0.153241i | ||||
\(721\) | 9.46299 | − | 65.8165i | 0.352420 | − | 2.45114i | ||||
\(722\) | −0.785435 | + | 3.23761i | −0.0292309 | + | 0.120491i | ||||
\(723\) | −5.15149 | + | 6.92043i | −0.191586 | + | 0.257373i | ||||
\(724\) | 1.72964 | + | 0.891691i | 0.0642815 | + | 0.0331394i | ||||
\(725\) | 4.46813 | + | 2.30348i | 0.165942 | + | 0.0855492i | ||||
\(726\) | −18.8336 | − | 2.20031i | −0.698981 | − | 0.0816611i | ||||
\(727\) | −7.53140 | + | 31.0448i | −0.279324 | + | 1.15139i | 0.643277 | + | 0.765634i | \(0.277574\pi\) |
−0.922601 | + | 0.385756i | \(0.873941\pi\) | |||||||
\(728\) | −3.76186 | + | 26.1643i | −0.139424 | + | 0.969714i | ||||
\(729\) | −14.9631 | − | 22.4746i | −0.554188 | − | 0.832391i | ||||
\(730\) | −11.3759 | + | 24.9098i | −0.421042 | + | 0.921954i | ||||
\(731\) | −8.29254 | + | 7.90692i | −0.306711 | + | 0.292448i | ||||
\(732\) | 15.9818 | + | 6.79282i | 0.590703 | + | 0.251070i | ||||
\(733\) | −21.6727 | + | 17.0436i | −0.800500 | + | 0.629520i | −0.932271 | − | 0.361760i | \(-0.882176\pi\) |
0.131771 | + | 0.991280i | \(0.457934\pi\) | |||||||
\(734\) | −0.549656 | + | 11.5387i | −0.0202882 | + | 0.425901i | ||||
\(735\) | 11.9882 | + | 54.4016i | 0.442190 | + | 2.00663i | ||||
\(736\) | −3.31996 | − | 3.46090i | −0.122375 | − | 0.127571i | ||||
\(737\) | 1.52444 | 0.0561533 | ||||||||
\(738\) | −2.30645 | + | 2.96568i | −0.0849015 | + | 0.109168i | ||||
\(739\) | 4.00237 | + | 27.8371i | 0.147230 | + | 1.02400i | 0.920728 | + | 0.390206i | \(0.127596\pi\) |
−0.773498 | + | 0.633798i | \(0.781495\pi\) | |||||||
\(740\) | 7.63287 | + | 0.728851i | 0.280590 | + | 0.0267931i | ||||
\(741\) | −36.7213 | − | 24.7095i | −1.34899 | − | 0.907725i | ||||
\(742\) | −29.0391 | + | 2.77290i | −1.06606 | + | 0.101796i | ||||
\(743\) | −17.9480 | − | 3.45920i | −0.658449 | − | 0.126906i | −0.150928 | − | 0.988545i | \(-0.548226\pi\) |
−0.507521 | + | 0.861639i | \(0.669438\pi\) | |||||||
\(744\) | 3.77537 | − | 7.82557i | 0.138412 | − | 0.286899i | ||||
\(745\) | −1.19255 | + | 4.91578i | −0.0436918 | + | 0.180100i | ||||
\(746\) | −16.6510 | − | 19.2163i | −0.609636 | − | 0.703557i | ||||
\(747\) | 7.45073 | + | 0.314634i | 0.272608 | + | 0.0115118i | ||||
\(748\) | −0.435327 | + | 0.279768i | −0.0159171 | + | 0.0102293i | ||||
\(749\) | 77.2829 | − | 14.8951i | 2.82386 | − | 0.544254i | ||||
\(750\) | −10.1252 | − | 18.4246i | −0.369721 | − | 0.672771i | ||||
\(751\) | −11.7344 | + | 4.69773i | −0.428193 | + | 0.171422i | −0.575741 | − | 0.817632i | \(-0.695286\pi\) |
0.147548 | + | 0.989055i | \(0.452862\pi\) | |||||||
\(752\) | −10.9179 | − | 2.10426i | −0.398135 | − | 0.0767343i | ||||
\(753\) | 10.8586 | + | 33.6554i | 0.395711 | + | 1.22647i | ||||
\(754\) | −14.2966 | + | 13.6318i | −0.520651 | + | 0.496439i | ||||
\(755\) | −12.3726 | − | 27.0923i | −0.450287 | − | 0.985990i | ||||
\(756\) | 17.8146 | − | 18.1054i | 0.647912 | − | 0.658487i | ||||
\(757\) | 18.0412 | + | 11.5943i | 0.655717 | + | 0.421404i | 0.825751 | − | 0.564034i | \(-0.190751\pi\) |
−0.170034 | + | 0.985438i | \(0.554388\pi\) | |||||||
\(758\) | 2.98802 | − | 5.17540i | 0.108530 | − | 0.187979i | ||||
\(759\) | −1.20282 | + | 1.47386i | −0.0436596 | + | 0.0534977i | ||||
\(760\) | −4.49798 | − | 7.79073i | −0.163159 | − | 0.282599i | ||||
\(761\) | −0.960656 | + | 20.1666i | −0.0348237 | + | 0.731040i | 0.912175 | + | 0.409802i | \(0.134402\pi\) |
−0.946998 | + | 0.321239i | \(0.895901\pi\) | |||||||
\(762\) | −25.9670 | + | 9.76507i | −0.940684 | + | 0.353751i | ||||
\(763\) | 1.39085 | + | 0.132810i | 0.0503521 | + | 0.00480804i | ||||
\(764\) | −7.62547 | − | 2.23904i | −0.275880 | − | 0.0810057i | ||||
\(765\) | 0.0696347 | + | 12.9039i | 0.00251765 | + | 0.466541i | ||||
\(766\) | −20.2245 | + | 23.3403i | −0.730741 | + | 0.843320i | ||||
\(767\) | 47.3301 | + | 37.2208i | 1.70899 | + | 1.34397i | ||||
\(768\) | 1.73167 | + | 0.0365466i | 0.0624861 | + | 0.00131876i | ||||
\(769\) | 9.50089 | − | 27.4510i | 0.342611 | − | 0.989909i | −0.633708 | − | 0.773572i | \(-0.718468\pi\) |
0.976319 | − | 0.216337i | \(-0.0694109\pi\) | |||||||
\(770\) | 1.89424 | + | 0.976549i | 0.0682637 | + | 0.0351924i | ||||
\(771\) | 2.03968 | − | 0.552434i | 0.0734573 | − | 0.0198954i | ||||
\(772\) | −4.49646 | + | 0.866622i | −0.161831 | + | 0.0311904i | ||||
\(773\) | 11.8780 | − | 3.48770i | 0.427222 | − | 0.125444i | −0.0610510 | − | 0.998135i | \(-0.519445\pi\) |
0.488273 | + | 0.872691i | \(0.337627\pi\) | |||||||
\(774\) | −4.36468 | − | 14.5733i | −0.156885 | − | 0.523828i | ||||
\(775\) | −4.52055 | + | 5.21700i | −0.162383 | + | 0.187400i | ||||
\(776\) | 1.91964 | + | 2.69576i | 0.0689111 | + | 0.0967721i | ||||
\(777\) | 2.34105 | − | 34.0220i | 0.0839848 | − | 1.22053i | ||||
\(778\) | 6.52151 | − | 9.15818i | 0.233807 | − | 0.328336i | ||||
\(779\) | 4.65189 | − | 3.65829i | 0.166671 | − | 0.131072i | ||||
\(780\) | 17.5749 | − | 3.00415i | 0.629283 | − | 0.107566i | ||||
\(781\) | 0.999427 | − | 1.73106i | 0.0357623 | − | 0.0619422i | ||||
\(782\) | −0.0327054 | − | 10.8363i | −0.00116954 | − | 0.387504i | ||||
\(783\) | 18.8287 | − | 2.40598i | 0.672881 | − | 0.0859828i | ||||
\(784\) | 14.2130 | + | 9.13416i | 0.507608 | + | 0.326220i | ||||
\(785\) | 15.4021 | + | 6.16607i | 0.549725 | + | 0.220076i | ||||
\(786\) | 2.28188 | + | 0.969879i | 0.0813918 | + | 0.0345944i | ||||
\(787\) | −10.1252 | − | 41.7367i | −0.360925 | − | 1.48775i | −0.805814 | − | 0.592168i | \(-0.798272\pi\) |
0.444889 | − | 0.895586i | \(-0.353243\pi\) | |||||||
\(788\) | 0.194371 | − | 0.0185601i | 0.00692417 | − | 0.000661178i | ||||
\(789\) | −28.9316 | − | 15.6966i | −1.02999 | − | 0.558815i | ||||
\(790\) | 16.5180 | + | 12.9899i | 0.587683 | + | 0.462159i | ||||
\(791\) | 11.9814 | − | 3.51805i | 0.426009 | − | 0.125088i | ||||
\(792\) | −0.0689988 | − | 0.683584i | −0.00245177 | − | 0.0242901i | ||||
\(793\) | 45.6091 | − | 29.3112i | 1.61963 | − | 1.04087i | ||||
\(794\) | −0.855538 | − | 17.9599i | −0.0303619 | − | 0.637375i | ||||
\(795\) | 7.79446 | + | 18.0669i | 0.276441 | + | 0.640767i | ||||
\(796\) | 10.5664 | + | 10.0750i | 0.374516 | + | 0.357101i | ||||
\(797\) | −32.2033 | + | 12.8922i | −1.14070 | + | 0.456667i | −0.863601 | − | 0.504175i | \(-0.831797\pi\) |
−0.277097 | + | 0.960842i | \(0.589372\pi\) | |||||||
\(798\) | −34.1079 | + | 20.9163i | −1.20741 | + | 0.740428i | ||||
\(799\) | −14.5729 | − | 20.4648i | −0.515554 | − | 0.723994i | ||||
\(800\) | −1.32036 | − | 0.387692i | −0.0466817 | − | 0.0137070i | ||||
\(801\) | 34.4510 | − | 12.1322i | 1.21727 | − | 0.428670i | ||||
\(802\) | −0.700319 | − | 4.87083i | −0.0247291 | − | 0.171995i | ||||
\(803\) | 2.92826 | − | 1.50962i | 0.103336 | − | 0.0532735i | ||||
\(804\) | −2.48109 | − | 11.2590i | −0.0875013 | − | 0.397076i | ||||
\(805\) | −38.5813 | + | 22.4305i | −1.35981 | + | 0.790571i | ||||
\(806\) | −13.5632 | − | 23.4921i | −0.477742 | − | 0.827474i | ||||
\(807\) | 48.3140 | − | 8.25850i | 1.70073 | − | 0.290713i | ||||
\(808\) | 8.71580 | + | 3.48928i | 0.306621 | + | 0.122752i | ||||
\(809\) | −17.7988 | − | 38.9738i | −0.625771 | − | 1.37025i | −0.911246 | − | 0.411861i | \(-0.864879\pi\) |
0.285475 | − | 0.958386i | \(-0.407849\pi\) | |||||||
\(810\) | −15.3122 | − | 7.68594i | −0.538015 | − | 0.270056i | ||||
\(811\) | 0.301638 | − | 0.660495i | 0.0105919 | − | 0.0231931i | −0.904262 | − | 0.426978i | \(-0.859578\pi\) |
0.914854 | + | 0.403785i | \(0.132306\pi\) | |||||||
\(812\) | 5.84046 | + | 16.8749i | 0.204960 | + | 0.592192i | ||||
\(813\) | −9.43482 | − | 13.8592i | −0.330894 | − | 0.486065i | ||||
\(814\) | −0.667608 | − | 0.636563i | −0.0233997 | − | 0.0223115i | ||||
\(815\) | 3.44082 | − | 9.94160i | 0.120527 | − | 0.348239i | ||||
\(816\) | 2.77480 | + | 2.75987i | 0.0971374 | + | 0.0966146i | ||||
\(817\) | 1.14023 | + | 23.9364i | 0.0398916 | + | 0.837427i | ||||
\(818\) | 6.48366 | + | 7.48254i | 0.226696 | + | 0.261621i | ||||
\(819\) | −15.4276 | − | 77.7849i | −0.539085 | − | 2.71803i | ||||
\(820\) | −0.339279 | + | 2.35974i | −0.0118481 | + | 0.0824056i | ||||
\(821\) | −7.10818 | − | 20.5377i | −0.248077 | − | 0.716772i | −0.998445 | − | 0.0557512i | \(-0.982245\pi\) |
0.750367 | − | 0.661021i | \(-0.229877\pi\) | |||||||
\(822\) | −9.93696 | + | 10.9905i | −0.346591 | + | 0.383336i | ||||
\(823\) | −7.78054 | − | 32.0718i | −0.271213 | − | 1.11795i | −0.930567 | − | 0.366121i | \(-0.880686\pi\) |
0.659355 | − | 0.751832i | \(-0.270830\pi\) | |||||||
\(824\) | −7.89032 | + | 11.0804i | −0.274872 | + | 0.386004i | ||||
\(825\) | −0.0890674 | + | 0.538546i | −0.00310093 | + | 0.0187498i | ||||
\(826\) | 48.3796 | − | 24.9414i | 1.68334 | − | 0.867823i | ||||
\(827\) | −2.81837 | −0.0980045 | −0.0490022 | − | 0.998799i | \(-0.515604\pi\) | ||||
−0.0490022 | + | 0.998799i | \(0.515604\pi\) | |||||||
\(828\) | 12.8431 | + | 6.48489i | 0.446330 | + | 0.225366i | ||||
\(829\) | 9.01001 | 0.312931 | 0.156465 | − | 0.987683i | \(-0.449990\pi\) | ||||
0.156465 | + | 0.987683i | \(0.449990\pi\) | |||||||
\(830\) | 4.20604 | − | 2.16837i | 0.145994 | − | 0.0752651i | ||||
\(831\) | −24.9032 | + | 9.36505i | −0.863884 | + | 0.324870i | ||||
\(832\) | 3.13667 | − | 4.40484i | 0.108745 | − | 0.152710i | ||||
\(833\) | 9.00006 | + | 37.0987i | 0.311833 | + | 1.28540i | ||||
\(834\) | 1.30593 | + | 4.04762i | 0.0452207 | + | 0.140157i | ||||
\(835\) | 2.20208 | + | 6.36248i | 0.0762060 | + | 0.220183i | ||||
\(836\) | −0.154021 | + | 1.07124i | −0.00532694 | + | 0.0370497i | ||||
\(837\) | −2.88493 | + | 25.9059i | −0.0997179 | + | 0.895438i | ||||
\(838\) | −15.5434 | − | 17.9380i | −0.536937 | − | 0.619658i | ||||
\(839\) | −2.64014 | − | 55.4235i | −0.0911479 | − | 1.91343i | −0.332684 | − | 0.943038i | \(-0.607954\pi\) |
0.241536 | − | 0.970392i | \(-0.422349\pi\) | |||||||
\(840\) | 4.12954 | − | 15.5797i | 0.142483 | − | 0.537551i | ||||
\(841\) | 5.12034 | − | 14.7943i | 0.176564 | − | 0.510147i | ||||
\(842\) | −0.159552 | − | 0.152133i | −0.00549854 | − | 0.00524285i | ||||
\(843\) | 37.3182 | − | 2.77028i | 1.28531 | − | 0.0954135i | ||||
\(844\) | 1.14156 | + | 3.29832i | 0.0392941 | + | 0.113533i | ||||
\(845\) | 12.8437 | − | 28.1239i | 0.441838 | − | 0.967490i | ||||
\(846\) | 32.9909 | − | 4.92523i | 1.13425 | − | 0.169333i | ||||
\(847\) | 22.2307 | + | 48.6785i | 0.763856 | + | 1.67261i | ||||
\(848\) | 5.54014 | + | 2.21794i | 0.190249 | + | 0.0761643i | ||||
\(849\) | −33.6896 | − | 40.5792i | −1.15622 | − | 1.39268i | ||||
\(850\) | −1.55467 | − | 2.69276i | −0.0533246 | − | 0.0923609i | ||||
\(851\) | 18.7584 | − | 4.61074i | 0.643031 | − | 0.158054i | ||||
\(852\) | −14.4117 | − | 4.56410i | −0.493737 | − | 0.156363i | ||||
\(853\) | 11.3346 | − | 5.84337i | 0.388088 | − | 0.200073i | −0.253130 | − | 0.967432i | \(-0.581460\pi\) |
0.641218 | + | 0.767359i | \(0.278430\pi\) | |||||||
\(854\) | −6.97477 | − | 48.5106i | −0.238672 | − | 1.66000i | ||||
\(855\) | 20.4911 | + | 17.5630i | 0.700782 | + | 0.600641i | ||||
\(856\) | −15.4487 | − | 4.53614i | −0.528025 | − | 0.155042i | ||||
\(857\) | 25.2931 | + | 35.5192i | 0.863996 | + | 1.21331i | 0.975599 | + | 0.219560i | \(0.0704620\pi\) |
−0.111603 | + | 0.993753i | \(0.535599\pi\) | |||||||
\(858\) | −1.88540 | − | 1.02291i | −0.0643666 | − | 0.0349217i | ||||
\(859\) | −19.9825 | + | 7.99977i | −0.681793 | + | 0.272949i | −0.686595 | − | 0.727040i | \(-0.740896\pi\) |
0.00480236 | + | 0.999988i | \(0.498471\pi\) | |||||||
\(860\) | −6.98648 | − | 6.66159i | −0.238237 | − | 0.227158i | ||||
\(861\) | 10.5315 | + | 1.23038i | 0.358912 | + | 0.0419313i | ||||
\(862\) | 0.622942 | + | 13.0772i | 0.0212175 | + | 0.445410i | ||||
\(863\) | 29.1406 | − | 18.7275i | 0.991957 | − | 0.637492i | 0.0592938 | − | 0.998241i | \(-0.481115\pi\) |
0.932663 | + | 0.360749i | \(0.117479\pi\) | |||||||
\(864\) | −4.93645 | + | 1.62217i | −0.167942 | + | 0.0551873i | ||||
\(865\) | 23.3472 | − | 6.85535i | 0.793827 | − | 0.233089i | ||||
\(866\) | −18.0407 | − | 14.1874i | −0.613048 | − | 0.482106i | ||||
\(867\) | −0.545849 | − | 20.5947i | −0.0185380 | − | 0.699434i | ||||
\(868\) | −24.4105 | + | 2.33092i | −0.828545 | + | 0.0791164i | ||||
\(869\) | −0.596014 | − | 2.45680i | −0.0202184 | − | 0.0833414i | ||||
\(870\) | 9.62293 | − | 7.24423i | 0.326248 | − | 0.245602i | ||||
\(871\) | −33.4161 | − | 13.3778i | −1.13226 | − | 0.453289i | ||||
\(872\) | −0.240449 | − | 0.154527i | −0.00814264 | − | 0.00523296i | ||||
\(873\) | −8.11824 | − | 5.71520i | −0.274761 | − | 0.193430i | ||||
\(874\) | −17.1725 | − | 14.7895i | −0.580868 | − | 0.500264i | ||||
\(875\) | −29.6666 | + | 51.3840i | −1.00291 | + | 1.73710i | ||||
\(876\) | −15.9155 | − | 19.1703i | −0.537736 | − | 0.647705i | ||||
\(877\) | 1.03992 | − | 0.817799i | 0.0351154 | − | 0.0276151i | −0.600447 | − | 0.799665i | \(-0.705011\pi\) |
0.635562 | + | 0.772049i | \(0.280768\pi\) | |||||||
\(878\) | −14.5144 | + | 20.3826i | −0.489836 | + | 0.687879i | ||||
\(879\) | −3.95382 | − | 2.66050i | −0.133359 | − | 0.0897364i | ||||
\(880\) | −0.252889 | − | 0.355133i | −0.00852490 | − | 0.0119715i | ||||
\(881\) | 7.54574 | − | 8.70824i | 0.254222 | − | 0.293388i | −0.614265 | − | 0.789100i | \(-0.710547\pi\) |
0.868487 | + | 0.495712i | \(0.165093\pi\) | |||||||
\(882\) | −49.3202 | − | 11.6835i | −1.66070 | − | 0.393404i | ||||
\(883\) | −18.7069 | + | 5.49285i | −0.629538 | + | 0.184849i | −0.580910 | − | 0.813968i | \(-0.697303\pi\) |
−0.0486284 | + | 0.998817i | \(0.515485\pi\) | |||||||
\(884\) | 11.9976 | − | 2.31235i | 0.403524 | − | 0.0777729i | ||||
\(885\) | −26.0309 | − | 25.8908i | −0.875020 | − | 0.870310i | ||||
\(886\) | 3.11842 | + | 1.60766i | 0.104765 | + | 0.0540103i | ||||
\(887\) | −4.90579 | + | 14.1743i | −0.164720 | + | 0.475928i | −0.996909 | − | 0.0785645i | \(-0.974966\pi\) |
0.832189 | + | 0.554492i | \(0.187088\pi\) | |||||||
\(888\) | −3.61491 | + | 5.96680i | −0.121308 | + | 0.200233i | ||||
\(889\) | 61.5445 | + | 48.3991i | 2.06414 | + | 1.62325i | ||||
\(890\) | 15.1776 | − | 17.5159i | 0.508755 | − | 0.587135i | ||||
\(891\) | 0.876427 | + | 1.86556i | 0.0293614 | + | 0.0624985i | ||||
\(892\) | 4.74242 | + | 1.39250i | 0.158788 | + | 0.0466244i | ||||
\(893\) | −52.3056 | − | 4.99457i | −1.75034 | − | 0.167137i | ||||
\(894\) | −3.55688 | − | 2.92070i | −0.118960 | − | 0.0976829i | ||||
\(895\) | 1.57795 | − | 33.1252i | 0.0527450 | − | 1.10725i | ||||
\(896\) | −2.44413 | − | 4.23336i | −0.0816526 | − | 0.141426i | ||||
\(897\) | 39.3001 | − | 21.7520i | 1.31219 | − | 0.726279i | ||||
\(898\) | −2.32406 | + | 4.02540i | −0.0775550 | + | 0.134329i | ||||
\(899\) | −15.4161 | − | 9.90732i | −0.514155 | − | 0.330428i | ||||
\(900\) | 4.12250 | − | 0.218682i | 0.137417 | − | 0.00728940i | ||||
\(901\) | 5.60144 | + | 12.2654i | 0.186611 | + | 0.408621i | ||||
\(902\) | 0.207572 | − | 0.197920i | 0.00691140 | − | 0.00659001i | ||||
\(903\) | −28.7945 | + | 31.8472i | −0.958220 | + | 1.05981i | ||||
\(904\) | −2.50837 | − | 0.483448i | −0.0834270 | − | 0.0160792i | ||||
\(905\) | −3.43908 | + | 1.37680i | −0.114319 | + | 0.0457664i | ||||
\(906\) | 27.0929 | + | 0.571794i | 0.900103 | + | 0.0189966i | ||||
\(907\) | −2.78471 | + | 0.536709i | −0.0924648 | + | 0.0178211i | −0.235274 | − | 0.971929i | \(-0.575599\pi\) |
0.142809 | + | 0.989750i | \(0.454387\pi\) | |||||||
\(908\) | −9.20703 | + | 5.91700i | −0.305546 | + | 0.196362i | ||||
\(909\) | −28.1398 | − | 1.18831i | −0.933340 | − | 0.0394136i | ||||
\(910\) | −32.9526 | − | 38.0293i | −1.09237 | − | 1.26066i | ||||
\(911\) | −13.9827 | + | 57.6375i | −0.463267 | + | 1.90961i | −0.0506333 | + | 0.998717i | \(0.516124\pi\) |
−0.412634 | + | 0.910897i | \(0.635391\pi\) | |||||||
\(912\) | 8.16256 | − | 0.605939i | 0.270289 | − | 0.0200646i | ||||
\(913\) | −0.559005 | − | 0.107739i | −0.0185004 | − | 0.00356566i | ||||
\(914\) | 40.0574 | − | 3.82502i | 1.32498 | − | 0.126520i | ||||
\(915\) | −29.6961 | + | 14.5246i | −0.981722 | + | 0.480169i | ||||
\(916\) | 14.4502 | + | 1.37982i | 0.477447 | + | 0.0455906i | ||||
\(917\) | −0.995858 | − | 6.92634i | −0.0328861 | − | 0.228728i | ||||
\(918\) | −10.6019 | − | 5.04444i | −0.349916 | − | 0.166491i | ||||
\(919\) | −35.5764 | −1.17356 | −0.586779 | − | 0.809747i | \(-0.699604\pi\) | ||||
−0.586779 | + | 0.809747i | \(0.699604\pi\) | |||||||
\(920\) | 9.11791 | − | 0.461925i | 0.300609 | − | 0.0152292i | ||||
\(921\) | 7.78263 | − | 7.11332i | 0.256446 | − | 0.234392i | ||||
\(922\) | −1.55540 | + | 32.6519i | −0.0512244 | + | 1.07533i | ||||
\(923\) | −37.0988 | + | 29.1748i | −1.22112 | + | 0.960300i | ||||
\(924\) | −1.54914 | + | 1.16621i | −0.0509630 | + | 0.0383654i | ||||
\(925\) | 4.01144 | − | 3.82490i | 0.131895 | − | 0.125762i | ||||
\(926\) | −12.6817 | + | 27.7690i | −0.416746 | + | 0.912545i | ||||
\(927\) | 11.2855 | − | 39.2164i | 0.370664 | − | 1.28804i | ||||
\(928\) | 0.519882 | − | 3.61586i | 0.0170660 | − | 0.118696i | ||||
\(929\) | 2.21414 | − | 9.12681i | 0.0726436 | − | 0.299441i | −0.923887 | − | 0.382665i | \(-0.875006\pi\) |
0.996531 | + | 0.0832238i | \(0.0265216\pi\) | |||||||
\(930\) | 6.55207 | + | 15.1872i | 0.214851 | + | 0.498006i | ||||
\(931\) | 70.9644 | + | 36.5847i | 2.32576 | + | 1.19901i | ||||
\(932\) | −13.3713 | − | 6.89338i | −0.437991 | − | 0.225800i | ||||
\(933\) | 21.2594 | + | 49.2776i | 0.696003 | + | 1.61328i | ||||
\(934\) | 3.05479 | − | 12.5920i | 0.0999559 | − | 0.412024i | ||||
\(935\) | 0.140193 | − | 0.975066i | 0.00458481 | − | 0.0318881i | ||||
\(936\) | −4.48636 | + | 15.5899i | −0.146641 | + | 0.509571i | ||||
\(937\) | −3.53457 | + | 7.73963i | −0.115469 | + | 0.252843i | −0.958539 | − | 0.284962i | \(-0.908019\pi\) |
0.843069 | + | 0.537805i | \(0.180746\pi\) | |||||||
\(938\) | −23.5489 | + | 22.4538i | −0.768899 | + | 0.733143i | ||||
\(939\) | −23.0573 | + | 17.3578i | −0.752447 | + | 0.566449i | ||||
\(940\) | 16.6379 | − | 13.0842i | 0.542670 | − | 0.426760i | ||||
\(941\) | 1.59635 | − | 33.5115i | 0.0520395 | − | 1.09244i | −0.810268 | − | 0.586059i | \(-0.800679\pi\) |
0.862308 | − | 0.506384i | \(-0.169018\pi\) | |||||||
\(942\) | −11.1421 | + | 10.1839i | −0.363029 | + | 0.331809i | ||||
\(943\) | 1.15443 | + | 5.89397i | 0.0375934 | + | 0.191934i | ||||
\(944\) | −11.1349 | −0.362411 | ||||||||
\(945\) | 3.83975 | + | 48.2004i | 0.124907 | + | 1.56796i | ||||
\(946\) | 0.165277 | + | 1.14953i | 0.00537363 | + | 0.0373744i | ||||
\(947\) | −27.3756 | − | 2.61406i | −0.889589 | − | 0.0849455i | −0.359755 | − | 0.933047i | \(-0.617140\pi\) |
−0.529834 | + | 0.848101i | \(0.677746\pi\) | |||||||
\(948\) | −17.1752 | + | 8.40055i | −0.557825 | + | 0.272837i | ||||
\(949\) | −77.4362 | + | 7.39427i | −2.51369 | + | 0.240028i | ||||
\(950\) | −6.38541 | − | 1.23069i | −0.207170 | − | 0.0399288i | ||||
\(951\) | −52.0927 | + | 3.86705i | −1.68922 | + | 0.125398i | ||||
\(952\) | 2.60399 | − | 10.7338i | 0.0843958 | − | 0.347884i | ||||
\(953\) | −19.3807 | − | 22.3665i | −0.627803 | − | 0.724523i | 0.349366 | − | 0.936986i | \(-0.386397\pi\) |
−0.977169 | + | 0.212463i | \(0.931851\pi\) | |||||||
\(954\) | −17.8869 | − | 0.755338i | −0.579109 | − | 0.0244550i | ||||
\(955\) | 12.7274 | − | 8.17941i | 0.411849 | − | 0.264680i | ||||
\(956\) | 23.6937 | − | 4.56659i | 0.766310 | − | 0.147694i | ||||
\(957\) | −1.44874 | − | 0.0305755i | −0.0468311 | − | 0.000988366i | ||||
\(958\) | 8.91989 | − | 3.57099i | 0.288189 | − | 0.115373i | ||||
\(959\) | 41.0604 | + | 7.91375i | 1.32591 | + | 0.255548i | ||||
\(960\) | −2.21132 | + | 2.44576i | −0.0713701 | + | 0.0789366i | ||||
\(961\) | −4.22347 | + | 4.02707i | −0.136241 | + | 0.129905i | ||||
\(962\) | 9.04798 | + | 19.8123i | 0.291719 | + | 0.638775i | ||||
\(963\) | 48.2348 | − | 2.55866i | 1.55434 | − | 0.0824516i | ||||
\(964\) | −4.19026 | − | 2.69292i | −0.134959 | − | 0.0867330i | ||||
\(965\) | 4.35862 | − | 7.54936i | 0.140309 | − | 0.243022i | ||||
\(966\) | −3.12819 | − | 40.4842i | −0.100648 | − | 1.30256i | ||||
\(967\) | 21.7889 | + | 37.7395i | 0.700684 | + | 1.21362i | 0.968227 | + | 0.250074i | \(0.0804551\pi\) |
−0.267543 | + | 0.963546i | \(0.586212\pi\) | |||||||
\(968\) | 0.520905 | − | 10.9352i | 0.0167425 | − | 0.351469i | ||||
\(969\) | 14.2930 | + | 11.7366i | 0.459158 | + | 0.377034i | ||||
\(970\) | −6.27143 | − | 0.598849i | −0.201363 | − | 0.0192279i | ||||
\(971\) | −32.3796 | − | 9.50751i | −1.03911 | − | 0.305111i | −0.282701 | − | 0.959208i | \(-0.591230\pi\) |
−0.756410 | + | 0.654097i | \(0.773049\pi\) | |||||||
\(972\) | 12.3520 | − | 9.50931i | 0.396192 | − | 0.305011i | ||||
\(973\) | 7.86042 | − | 9.07140i | 0.251993 | − | 0.290816i | ||||
\(974\) | 29.2773 | + | 23.0239i | 0.938105 | + | 0.737734i | ||||
\(975\) | 6.67843 | − | 11.0235i | 0.213881 | − | 0.353034i | ||||
\(976\) | −3.27917 | + | 9.47454i | −0.104964 | + | 0.303273i | ||||
\(977\) | −26.8254 | − | 13.8295i | −0.858222 | − | 0.442444i | −0.0278227 | − | 0.999613i | \(-0.508857\pi\) |
−0.830399 | + | 0.557169i | \(0.811888\pi\) | |||||||
\(978\) | 6.78657 | + | 6.75004i | 0.217011 | + | 0.215843i | ||||
\(979\) | −2.73791 | + | 0.527688i | −0.0875038 | + | 0.0168650i | ||||
\(980\) | −30.8596 | + | 9.06119i | −0.985773 | + | 0.289449i | ||||
\(981\) | 0.834376 | + | 0.197656i | 0.0266396 | + | 0.00631067i | ||||
\(982\) | 9.80622 | − | 11.3170i | 0.312929 | − | 0.361139i | ||||
\(983\) | −24.4763 | − | 34.3722i | −0.780673 | − | 1.09630i | −0.992885 | − | 0.119078i | \(-0.962006\pi\) |
0.212212 | − | 0.977224i | \(-0.431933\pi\) | |||||||
\(984\) | −1.79961 | − | 1.21095i | −0.0573695 | − | 0.0386035i | ||||
\(985\) | −0.215606 | + | 0.302776i | −0.00686977 | + | 0.00964725i | ||||
\(986\) | 6.48819 | − | 5.10237i | 0.206626 | − | 0.162493i | ||||
\(987\) | −60.1337 | − | 72.4313i | −1.91408 | − | 2.30551i | ||||
\(988\) | 12.7770 | − | 22.1303i | 0.406489 | − | 0.704060i | ||||
\(989\) | −22.1522 | − | 10.0359i | −0.704399 | − | 0.319123i | ||||
\(990\) | 1.06948 | + | 0.752908i | 0.0339903 | + | 0.0239290i | ||||
\(991\) | −22.8613 | − | 14.6920i | −0.726212 | − | 0.466708i | 0.124581 | − | 0.992209i | \(-0.460241\pi\) |
−0.850793 | + | 0.525501i | \(0.823878\pi\) | |||||||
\(992\) | 4.65707 | + | 1.86441i | 0.147862 | + | 0.0591951i | ||||
\(993\) | −23.9544 | + | 18.0331i | −0.760168 | + | 0.572262i | ||||
\(994\) | 10.0585 | + | 41.4616i | 0.319035 | + | 1.31508i | ||||
\(995\) | −27.6672 | + | 2.64190i | −0.877110 | + | 0.0837538i | ||||
\(996\) | 0.114075 | + | 4.30400i | 0.00361459 | + | 0.136378i | ||||
\(997\) | 36.8424 | + | 28.9732i | 1.16681 | + | 0.917590i | 0.997685 | − | 0.0680039i | \(-0.0216630\pi\) |
0.169126 | + | 0.985594i | \(0.445905\pi\) | |||||||
\(998\) | 11.1139 | − | 3.26334i | 0.351805 | − | 0.103299i | ||||
\(999\) | 4.28314 | − | 20.4863i | 0.135513 | − | 0.648156i |
(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 | 414.2.m.a.25.2 | ✓ | 240 | |
9.4 | even | 3 | inner | 414.2.m.a.301.10 | yes | 240 | |
23.12 | even | 11 | inner | 414.2.m.a.403.10 | yes | 240 | |
207.58 | even | 33 | inner | 414.2.m.a.265.2 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
414.2.m.a.25.2 | ✓ | 240 | 1.1 | even | 1 | trivial | |
414.2.m.a.265.2 | yes | 240 | 207.58 | even | 33 | inner | |
414.2.m.a.301.10 | yes | 240 | 9.4 | even | 3 | inner | |
414.2.m.a.403.10 | yes | 240 | 23.12 | even | 11 | inner |