Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), degree \(4\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 239.6 | ||
Character | \(\chi\) | \(=\) | 300.239 |
Dual form | 300.2.r.a.59.6 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.32465 | − | 0.495274i | −0.936671 | − | 0.350211i | ||||
\(3\) | 1.60045 | − | 0.662243i | 0.924019 | − | 0.382346i | ||||
\(4\) | 1.50941 | + | 1.31213i | 0.754704 | + | 0.656065i | ||||
\(5\) | 0.462356 | − | 2.18774i | 0.206772 | − | 0.978389i | ||||
\(6\) | −2.44803 | + | 0.0845826i | −0.999404 | + | 0.0345307i | ||||
\(7\) | 2.28606 | 0.864051 | 0.432025 | − | 0.901861i | \(-0.357799\pi\) | ||||
0.432025 | + | 0.901861i | \(0.357799\pi\) | |||||||
\(8\) | −1.34958 | − | 2.48569i | −0.477148 | − | 0.878823i | ||||
\(9\) | 2.12287 | − | 2.11977i | 0.707623 | − | 0.706591i | ||||
\(10\) | −1.69599 | + | 2.66901i | −0.536320 | + | 0.844015i | ||||
\(11\) | −2.72636 | + | 1.98082i | −0.822029 | + | 0.597239i | −0.917293 | − | 0.398213i | \(-0.869631\pi\) |
0.0952639 | + | 0.995452i | \(0.469631\pi\) | |||||||
\(12\) | 3.28468 | + | 1.10040i | 0.948205 | + | 0.317659i | ||||
\(13\) | 0.498773 | − | 0.686502i | 0.138335 | − | 0.190401i | −0.734229 | − | 0.678902i | \(-0.762456\pi\) |
0.872563 | + | 0.488501i | \(0.162456\pi\) | |||||||
\(14\) | −3.02824 | − | 1.13223i | −0.809331 | − | 0.302600i | ||||
\(15\) | −0.708842 | − | 3.80756i | −0.183022 | − | 0.983109i | ||||
\(16\) | 0.556627 | + | 3.96108i | 0.139157 | + | 0.990270i | ||||
\(17\) | −0.267534 | − | 0.823384i | −0.0648864 | − | 0.199700i | 0.913357 | − | 0.407159i | \(-0.133481\pi\) |
−0.978244 | + | 0.207459i | \(0.933481\pi\) | |||||||
\(18\) | −3.86193 | + | 1.75656i | −0.910265 | + | 0.414025i | ||||
\(19\) | 0.177992 | − | 0.0578330i | 0.0408341 | − | 0.0132678i | −0.288529 | − | 0.957471i | \(-0.593166\pi\) |
0.329363 | + | 0.944203i | \(0.393166\pi\) | |||||||
\(20\) | 3.56849 | − | 2.69553i | 0.797939 | − | 0.602738i | ||||
\(21\) | 3.65873 | − | 1.51393i | 0.798399 | − | 0.330367i | ||||
\(22\) | 4.59253 | − | 1.27360i | 0.979131 | − | 0.271533i | ||||
\(23\) | 3.95361 | + | 5.44167i | 0.824384 | + | 1.13467i | 0.988942 | + | 0.148300i | \(0.0473801\pi\) |
−0.164558 | + | 0.986367i | \(0.552620\pi\) | |||||||
\(24\) | −3.80606 | − | 3.08446i | −0.776908 | − | 0.629614i | ||||
\(25\) | −4.57245 | − | 2.02304i | −0.914491 | − | 0.404607i | ||||
\(26\) | −1.00071 | + | 0.662347i | −0.196255 | + | 0.129897i | ||||
\(27\) | 1.99373 | − | 4.79844i | 0.383694 | − | 0.923460i | ||||
\(28\) | 3.45060 | + | 2.99961i | 0.652103 | + | 0.566874i | ||||
\(29\) | −3.23281 | − | 1.05040i | −0.600318 | − | 0.195055i | −0.00693593 | − | 0.999976i | \(-0.502208\pi\) |
−0.593382 | + | 0.804921i | \(0.702208\pi\) | |||||||
\(30\) | −0.946817 | + | 5.39477i | −0.172864 | + | 0.984946i | ||||
\(31\) | −6.19921 | + | 2.01424i | −1.11341 | + | 0.361769i | −0.807249 | − | 0.590211i | \(-0.799045\pi\) |
−0.306161 | + | 0.951980i | \(0.599045\pi\) | |||||||
\(32\) | 1.22448 | − | 5.52274i | 0.216460 | − | 0.976292i | ||||
\(33\) | −3.05162 | + | 4.97571i | −0.531218 | + | 0.866160i | ||||
\(34\) | −0.0534112 | + | 1.22320i | −0.00915994 | + | 0.209777i | ||||
\(35\) | 1.05698 | − | 5.00132i | 0.178662 | − | 0.845378i | ||||
\(36\) | 5.98569 | − | 0.414121i | 0.997615 | − | 0.0690202i | ||||
\(37\) | 5.08496 | − | 6.99884i | 0.835962 | − | 1.15060i | −0.150822 | − | 0.988561i | \(-0.548192\pi\) |
0.986784 | − | 0.162042i | \(-0.0518079\pi\) | |||||||
\(38\) | −0.264420 | − | 0.0115459i | −0.0428946 | − | 0.00187300i | ||||
\(39\) | 0.343629 | − | 1.42902i | 0.0550246 | − | 0.228826i | ||||
\(40\) | −6.06203 | + | 1.80326i | −0.958492 | + | 0.285120i | ||||
\(41\) | 5.24265 | − | 7.21588i | 0.818764 | − | 1.12693i | −0.171148 | − | 0.985245i | \(-0.554748\pi\) |
0.989912 | − | 0.141686i | \(-0.0452524\pi\) | |||||||
\(42\) | −5.59635 | + | 0.193361i | −0.863536 | + | 0.0298363i | ||||
\(43\) | −2.72313 | −0.415273 | −0.207636 | − | 0.978206i | \(-0.566577\pi\) | ||||
−0.207636 | + | 0.978206i | \(0.566577\pi\) | |||||||
\(44\) | −6.71429 | − | 0.587480i | −1.01222 | − | 0.0885660i | ||||
\(45\) | −3.65600 | − | 5.62438i | −0.545004 | − | 0.838433i | ||||
\(46\) | −2.54204 | − | 9.16644i | −0.374803 | − | 1.35152i | ||||
\(47\) | 9.30378 | + | 3.02298i | 1.35710 | + | 0.440947i | 0.895072 | − | 0.445921i | \(-0.147124\pi\) |
0.462023 | + | 0.886868i | \(0.347124\pi\) | |||||||
\(48\) | 3.51405 | + | 5.97088i | 0.507210 | + | 0.861823i | ||||
\(49\) | −1.77391 | −0.253416 | ||||||||
\(50\) | 5.05496 | + | 4.94443i | 0.714879 | + | 0.699249i | ||||
\(51\) | −0.973454 | − | 1.14061i | −0.136311 | − | 0.159717i | ||||
\(52\) | 1.65363 | − | 0.381756i | 0.229317 | − | 0.0529401i | ||||
\(53\) | −3.90510 | + | 12.0187i | −0.536407 | + | 1.65089i | 0.204182 | + | 0.978933i | \(0.434547\pi\) |
−0.740589 | + | 0.671958i | \(0.765453\pi\) | |||||||
\(54\) | −5.01755 | + | 5.36882i | −0.682802 | + | 0.730604i | ||||
\(55\) | 3.07297 | + | 6.88043i | 0.414360 | + | 0.927757i | ||||
\(56\) | −3.08522 | − | 5.68244i | −0.412280 | − | 0.759348i | ||||
\(57\) | 0.246567 | − | 0.210433i | 0.0326586 | − | 0.0278725i | ||||
\(58\) | 3.76212 | + | 2.99255i | 0.493990 | + | 0.392941i | ||||
\(59\) | 3.25893 | + | 2.36775i | 0.424276 | + | 0.308255i | 0.779356 | − | 0.626581i | \(-0.215546\pi\) |
−0.355080 | + | 0.934836i | \(0.615546\pi\) | |||||||
\(60\) | 3.92609 | − | 6.67726i | 0.506856 | − | 0.862031i | ||||
\(61\) | −9.18852 | + | 6.67585i | −1.17647 | + | 0.854755i | −0.991769 | − | 0.128040i | \(-0.959131\pi\) |
−0.184700 | + | 0.982795i | \(0.559131\pi\) | |||||||
\(62\) | 9.20939 | + | 0.402129i | 1.16959 | + | 0.0510705i | ||||
\(63\) | 4.85301 | − | 4.84593i | 0.611422 | − | 0.610530i | ||||
\(64\) | −4.35728 | + | 6.70926i | −0.544660 | + | 0.838657i | ||||
\(65\) | −1.27128 | − | 1.40860i | −0.157683 | − | 0.174715i | ||||
\(66\) | 6.50667 | − | 5.07970i | 0.800916 | − | 0.625268i | ||||
\(67\) | 0.869054 | + | 2.67467i | 0.106172 | + | 0.326763i | 0.990004 | − | 0.141041i | \(-0.0450451\pi\) |
−0.883832 | + | 0.467805i | \(0.845045\pi\) | |||||||
\(68\) | 0.676570 | − | 1.59386i | 0.0820461 | − | 0.193284i | ||||
\(69\) | 9.93125 | + | 6.09087i | 1.19558 | + | 0.733254i | ||||
\(70\) | −3.87715 | + | 6.10152i | −0.463408 | + | 0.729271i | ||||
\(71\) | −4.05022 | + | 12.4653i | −0.480672 | + | 1.47936i | 0.357480 | + | 0.933921i | \(0.383636\pi\) |
−0.838152 | + | 0.545437i | \(0.816364\pi\) | |||||||
\(72\) | −8.13406 | − | 2.41599i | −0.958609 | − | 0.284727i | ||||
\(73\) | 2.89931 | + | 3.99055i | 0.339338 | + | 0.467059i | 0.944248 | − | 0.329235i | \(-0.106791\pi\) |
−0.604910 | + | 0.796294i | \(0.706791\pi\) | |||||||
\(74\) | −10.2021 | + | 6.75259i | −1.18597 | + | 0.784973i | ||||
\(75\) | −8.65772 | − | 0.209687i | −0.999707 | − | 0.0242126i | ||||
\(76\) | 0.344547 | + | 0.146255i | 0.0395222 | + | 0.0167766i | ||||
\(77\) | −6.23264 | + | 4.52828i | −0.710275 | + | 0.516045i | ||||
\(78\) | −1.16294 | + | 1.72276i | −0.131677 | + | 0.195065i | ||||
\(79\) | 5.38950 | + | 1.75115i | 0.606366 | + | 0.197020i | 0.596078 | − | 0.802927i | \(-0.296725\pi\) |
0.0102884 | + | 0.999947i | \(0.496725\pi\) | |||||||
\(80\) | 8.92319 | + | 0.613675i | 0.997643 | + | 0.0686109i | ||||
\(81\) | 0.0131352 | − | 8.99999i | 0.00145946 | − | 0.999999i | ||||
\(82\) | −10.5185 | + | 6.96199i | −1.16158 | + | 0.768824i | ||||
\(83\) | −11.0706 | + | 3.59706i | −1.21516 | + | 0.394829i | −0.845317 | − | 0.534266i | \(-0.820588\pi\) |
−0.369842 | + | 0.929095i | \(0.620588\pi\) | |||||||
\(84\) | 7.50899 | + | 2.51559i | 0.819297 | + | 0.274473i | ||||
\(85\) | −1.92505 | + | 0.204598i | −0.208801 | + | 0.0221918i | ||||
\(86\) | 3.60720 | + | 1.34869i | 0.388974 | + | 0.145433i | ||||
\(87\) | −5.86957 | + | 0.459791i | −0.629284 | + | 0.0492947i | ||||
\(88\) | 8.60313 | + | 4.10361i | 0.917097 | + | 0.437447i | ||||
\(89\) | −0.0803153 | − | 0.110545i | −0.00851341 | − | 0.0117177i | 0.804739 | − | 0.593629i | \(-0.202305\pi\) |
−0.813252 | + | 0.581911i | \(0.802305\pi\) | |||||||
\(90\) | 2.05732 | + | 9.26107i | 0.216860 | + | 0.976203i | ||||
\(91\) | 1.14023 | − | 1.56939i | 0.119528 | − | 0.164516i | ||||
\(92\) | −1.17258 | + | 13.4014i | −0.122250 | + | 1.39719i | ||||
\(93\) | −8.58759 | + | 7.32907i | −0.890491 | + | 0.759990i | ||||
\(94\) | −10.8271 | − | 8.61231i | −1.11673 | − | 0.888292i | ||||
\(95\) | −0.0442282 | − | 0.416140i | −0.00453772 | − | 0.0426951i | ||||
\(96\) | −1.69768 | − | 9.64976i | −0.173268 | − | 0.984875i | ||||
\(97\) | 14.4712 | + | 4.70199i | 1.46933 | + | 0.477415i | 0.930906 | − | 0.365259i | \(-0.119020\pi\) |
0.538425 | + | 0.842674i | \(0.319020\pi\) | |||||||
\(98\) | 2.34982 | + | 0.878572i | 0.237368 | + | 0.0887492i | ||||
\(99\) | −1.58882 | + | 9.98428i | −0.159683 | + | 1.00346i | ||||
\(100\) | −4.24721 | − | 9.05324i | −0.424721 | − | 0.905324i | ||||
\(101\) | 13.1506i | 1.30853i | 0.756264 | + | 0.654267i | \(0.227023\pi\) | ||||
−0.756264 | + | 0.654267i | \(0.772977\pi\) | |||||||
\(102\) | 0.724574 | + | 1.99304i | 0.0717435 | + | 0.197340i | ||||
\(103\) | 2.75138 | − | 8.46789i | 0.271102 | − | 0.834366i | −0.719122 | − | 0.694883i | \(-0.755456\pi\) |
0.990224 | − | 0.139483i | \(-0.0445440\pi\) | |||||||
\(104\) | −2.37956 | − | 0.313305i | −0.233335 | − | 0.0307221i | ||||
\(105\) | −1.62046 | − | 8.70433i | −0.158140 | − | 0.849456i | ||||
\(106\) | 11.1254 | − | 13.9865i | 1.08060 | − | 1.35849i | ||||
\(107\) | − | 8.26976i | − | 0.799468i | −0.916631 | − | 0.399734i | \(-0.869103\pi\) | ||
0.916631 | − | 0.399734i | \(-0.130897\pi\) | |||||||
\(108\) | 9.30554 | − | 4.62676i | 0.895426 | − | 0.445211i | ||||
\(109\) | 5.20389 | + | 3.78085i | 0.498443 | + | 0.362140i | 0.808422 | − | 0.588604i | \(-0.200322\pi\) |
−0.309979 | + | 0.950743i | \(0.600322\pi\) | |||||||
\(110\) | −0.662927 | − | 10.6361i | −0.0632076 | − | 1.01412i | ||||
\(111\) | 3.50327 | − | 14.5688i | 0.332516 | − | 1.38281i | ||||
\(112\) | 1.27248 | + | 9.05528i | 0.120238 | + | 0.855644i | ||||
\(113\) | 3.16393 | + | 2.29873i | 0.297637 | + | 0.216246i | 0.726574 | − | 0.687089i | \(-0.241112\pi\) |
−0.428936 | + | 0.903335i | \(0.641112\pi\) | |||||||
\(114\) | −0.430837 | + | 0.156632i | −0.0403516 | + | 0.0146699i | ||||
\(115\) | 13.7330 | − | 6.13349i | 1.28061 | − | 0.571951i | ||||
\(116\) | −3.50137 | − | 5.82736i | −0.325094 | − | 0.541057i | ||||
\(117\) | −0.396398 | − | 2.51464i | −0.0366471 | − | 0.232478i | ||||
\(118\) | −3.14426 | − | 4.75051i | −0.289453 | − | 0.437319i | ||||
\(119\) | −0.611599 | − | 1.88231i | −0.0560652 | − | 0.172551i | ||||
\(120\) | −8.50778 | + | 6.90056i | −0.776650 | + | 0.629932i | ||||
\(121\) | 0.110224 | − | 0.339233i | 0.0100203 | − | 0.0308394i | ||||
\(122\) | 15.4780 | − | 4.29235i | 1.40131 | − | 0.388611i | ||||
\(123\) | 3.61191 | − | 15.0206i | 0.325675 | − | 1.35436i | ||||
\(124\) | −12.0001 | − | 5.09385i | −1.07764 | − | 0.457441i | ||||
\(125\) | −6.53999 | + | 9.06800i | −0.584954 | + | 0.811066i | ||||
\(126\) | −8.82861 | + | 4.01561i | −0.786516 | + | 0.357739i | ||||
\(127\) | −14.5810 | + | 10.5937i | −1.29386 | + | 0.940041i | −0.999876 | − | 0.0157707i | \(-0.994980\pi\) |
−0.293980 | + | 0.955812i | \(0.594980\pi\) | |||||||
\(128\) | 9.09480 | − | 6.72939i | 0.803874 | − | 0.594799i | ||||
\(129\) | −4.35822 | + | 1.80337i | −0.383720 | + | 0.158778i | ||||
\(130\) | 0.986363 | + | 2.49553i | 0.0865098 | + | 0.218873i | ||||
\(131\) | −3.06096 | − | 9.42068i | −0.267438 | − | 0.823088i | −0.991122 | − | 0.132957i | \(-0.957553\pi\) |
0.723684 | − | 0.690131i | \(-0.242447\pi\) | |||||||
\(132\) | −11.1349 | + | 3.50626i | −0.969170 | + | 0.305181i | ||||
\(133\) | 0.406900 | − | 0.132210i | 0.0352827 | − | 0.0114641i | ||||
\(134\) | 0.173500 | − | 3.97343i | 0.0149881 | − | 0.343252i | ||||
\(135\) | −9.57594 | − | 6.58037i | −0.824166 | − | 0.566348i | ||||
\(136\) | −1.68562 | + | 1.77623i | −0.144540 | + | 0.152310i | ||||
\(137\) | −11.7961 | − | 8.57033i | −1.00780 | − | 0.732213i | −0.0440573 | − | 0.999029i | \(-0.514028\pi\) |
−0.963748 | + | 0.266816i | \(0.914028\pi\) | |||||||
\(138\) | −10.1388 | − | 12.9870i | −0.863073 | − | 1.10552i | ||||
\(139\) | −10.8962 | − | 14.9973i | −0.924203 | − | 1.27206i | −0.962078 | − | 0.272773i | \(-0.912059\pi\) |
0.0378758 | − | 0.999282i | \(-0.487941\pi\) | |||||||
\(140\) | 8.15780 | − | 6.16215i | 0.689460 | − | 0.520797i | ||||
\(141\) | 16.8922 | − | 1.32324i | 1.42258 | − | 0.111437i | ||||
\(142\) | 11.5389 | − | 14.5062i | 0.968319 | − | 1.21733i | ||||
\(143\) | 2.85963i | 0.239134i | ||||||||
\(144\) | 9.57823 | + | 7.22893i | 0.798186 | + | 0.602411i | ||||
\(145\) | −3.79273 | + | 6.58691i | −0.314969 | + | 0.547013i | ||||
\(146\) | −1.86416 | − | 6.72204i | −0.154279 | − | 0.556320i | ||||
\(147\) | −2.83906 | + | 1.17476i | −0.234161 | + | 0.0968928i | ||||
\(148\) | 16.8587 | − | 3.89198i | 1.38577 | − | 0.319919i | ||||
\(149\) | − | 14.1823i | − | 1.16186i | −0.813953 | − | 0.580931i | \(-0.802689\pi\) | ||
0.813953 | − | 0.580931i | \(-0.197311\pi\) | |||||||
\(150\) | 11.3646 | + | 4.56570i | 0.927917 | + | 0.372788i | ||||
\(151\) | 4.00292i | 0.325753i | 0.986646 | + | 0.162877i | \(0.0520772\pi\) | ||||
−0.986646 | + | 0.162877i | \(0.947923\pi\) | |||||||
\(152\) | −0.383968 | − | 0.364382i | −0.0311440 | − | 0.0295552i | ||||
\(153\) | −2.31332 | − | 1.18083i | −0.187021 | − | 0.0954640i | ||||
\(154\) | 10.4988 | − | 2.91153i | 0.846019 | − | 0.234618i | ||||
\(155\) | 1.54041 | + | 14.4936i | 0.123729 | + | 1.16415i | ||||
\(156\) | 2.39374 | − | 1.70609i | 0.191652 | − | 0.136596i | ||||
\(157\) | − | 12.3551i | − | 0.986047i | −0.870016 | − | 0.493023i | \(-0.835892\pi\) | ||
0.870016 | − | 0.493023i | \(-0.164108\pi\) | |||||||
\(158\) | −6.27191 | − | 4.98895i | −0.498967 | − | 0.396899i | ||||
\(159\) | 1.70937 | + | 21.8214i | 0.135562 | + | 1.73055i | ||||
\(160\) | −11.5162 | − | 5.23233i | −0.910435 | − | 0.413652i | ||||
\(161\) | 9.03820 | + | 12.4400i | 0.712310 | + | 0.980410i | ||||
\(162\) | −4.47486 | + | 11.9154i | −0.351578 | + | 0.936159i | ||||
\(163\) | −9.46340 | − | 6.87556i | −0.741231 | − | 0.538536i | 0.151866 | − | 0.988401i | \(-0.451472\pi\) |
−0.893096 | + | 0.449866i | \(0.851472\pi\) | |||||||
\(164\) | 17.3815 | − | 4.01268i | 1.35727 | − | 0.313337i | ||||
\(165\) | 9.47465 | + | 8.97671i | 0.737601 | + | 0.698836i | ||||
\(166\) | 16.4463 | + | 0.718128i | 1.27648 | + | 0.0557375i | ||||
\(167\) | 11.0182 | − | 3.58004i | 0.852617 | − | 0.277032i | 0.150075 | − | 0.988675i | \(-0.452048\pi\) |
0.702542 | + | 0.711642i | \(0.252048\pi\) | |||||||
\(168\) | −8.70089 | − | 7.05128i | −0.671288 | − | 0.544018i | ||||
\(169\) | 3.79471 | + | 11.6789i | 0.291901 | + | 0.898378i | ||||
\(170\) | 2.65135 | + | 0.682404i | 0.203350 | + | 0.0523380i | ||||
\(171\) | 0.255260 | − | 0.500074i | 0.0195202 | − | 0.0382416i | ||||
\(172\) | −4.11031 | − | 3.57310i | −0.313408 | − | 0.272446i | ||||
\(173\) | 3.43425 | − | 2.49513i | 0.261101 | − | 0.189701i | −0.449531 | − | 0.893265i | \(-0.648409\pi\) |
0.710632 | + | 0.703563i | \(0.248409\pi\) | |||||||
\(174\) | 8.00287 | + | 2.29798i | 0.606696 | + | 0.174210i | ||||
\(175\) | −10.4529 | − | 4.62479i | −0.790166 | − | 0.349601i | ||||
\(176\) | −9.36375 | − | 9.69677i | −0.705819 | − | 0.730921i | ||||
\(177\) | 6.78377 | + | 1.63126i | 0.509899 | + | 0.122613i | ||||
\(178\) | 0.0516401 | + | 0.186211i | 0.00387059 | + | 0.0139571i | ||||
\(179\) | 0.715917 | − | 2.20337i | 0.0535102 | − | 0.164687i | −0.920730 | − | 0.390200i | \(-0.872406\pi\) |
0.974240 | + | 0.225513i | \(0.0724058\pi\) | |||||||
\(180\) | 1.86153 | − | 13.2866i | 0.138750 | − | 0.990327i | ||||
\(181\) | 6.65807 | + | 20.4914i | 0.494891 | + | 1.52312i | 0.817127 | + | 0.576458i | \(0.195565\pi\) |
−0.322236 | + | 0.946659i | \(0.604435\pi\) | |||||||
\(182\) | −2.28768 | + | 1.51417i | −0.169574 | + | 0.112238i | ||||
\(183\) | −10.2847 | + | 16.7694i | −0.760268 | + | 1.23963i | ||||
\(184\) | 8.19060 | − | 17.1714i | 0.603819 | − | 1.26589i | ||||
\(185\) | −12.9606 | − | 14.3605i | −0.952883 | − | 1.05581i | ||||
\(186\) | 15.0055 | − | 5.45527i | 1.10025 | − | 0.400000i | ||||
\(187\) | 2.36037 | + | 1.71491i | 0.172607 | + | 0.125406i | ||||
\(188\) | 10.0767 | + | 16.7707i | 0.734915 | + | 1.22313i | ||||
\(189\) | 4.55780 | − | 10.9695i | 0.331532 | − | 0.797916i | ||||
\(190\) | −0.147516 | + | 0.573146i | −0.0107019 | + | 0.0415804i | ||||
\(191\) | −2.37422 | − | 1.72497i | −0.171793 | − | 0.124815i | 0.498567 | − | 0.866851i | \(-0.333860\pi\) |
−0.670359 | + | 0.742037i | \(0.733860\pi\) | |||||||
\(192\) | −2.53044 | + | 13.6234i | −0.182619 | + | 0.983184i | ||||
\(193\) | − | 21.4466i | − | 1.54376i | −0.635767 | − | 0.771881i | \(-0.719316\pi\) | ||
0.635767 | − | 0.771881i | \(-0.280684\pi\) | |||||||
\(194\) | −16.8406 | − | 13.3957i | −1.20908 | − | 0.961756i | ||||
\(195\) | −2.96745 | − | 1.41249i | −0.212503 | − | 0.101150i | ||||
\(196\) | −2.67756 | − | 2.32761i | −0.191254 | − | 0.166258i | ||||
\(197\) | 2.77791 | − | 8.54953i | 0.197918 | − | 0.609128i | −0.802012 | − | 0.597308i | \(-0.796237\pi\) |
0.999930 | − | 0.0118209i | \(-0.00376281\pi\) | |||||||
\(198\) | 7.04959 | − | 12.4388i | 0.500993 | − | 0.883987i | ||||
\(199\) | 19.3922i | 1.37467i | 0.726339 | + | 0.687337i | \(0.241220\pi\) | ||||
−0.726339 | + | 0.687337i | \(0.758780\pi\) | |||||||
\(200\) | 1.14225 | + | 14.0959i | 0.0807691 | + | 0.996733i | ||||
\(201\) | 3.16216 | + | 3.70515i | 0.223042 | + | 0.261341i | ||||
\(202\) | 6.51314 | − | 17.4200i | 0.458263 | − | 1.22566i | ||||
\(203\) | −7.39042 | − | 2.40129i | −0.518706 | − | 0.168538i | ||||
\(204\) | 0.0272906 | − | 2.99895i | 0.00191073 | − | 0.209968i | ||||
\(205\) | −13.3625 | − | 14.8059i | −0.933280 | − | 1.03409i | ||||
\(206\) | −7.83855 | + | 9.85433i | −0.546138 | + | 0.686583i | ||||
\(207\) | 19.9281 | + | 3.17121i | 1.38510 | + | 0.220414i | ||||
\(208\) | 2.99692 | + | 1.59355i | 0.207799 | + | 0.110493i | ||||
\(209\) | −0.370713 | + | 0.510243i | −0.0256428 | + | 0.0352942i | ||||
\(210\) | −2.16448 | + | 12.3328i | −0.149364 | + | 0.851043i | ||||
\(211\) | 9.04161 | + | 12.4447i | 0.622450 | + | 0.856729i | 0.997528 | − | 0.0702639i | \(-0.0223841\pi\) |
−0.375078 | + | 0.926993i | \(0.622384\pi\) | |||||||
\(212\) | −21.6645 | + | 13.0171i | −1.48792 | + | 0.894016i | ||||
\(213\) | 1.77289 | + | 22.6323i | 0.121476 | + | 1.55074i | ||||
\(214\) | −4.09579 | + | 10.9546i | −0.279983 | + | 0.748838i | ||||
\(215\) | −1.25906 | + | 5.95751i | −0.0858668 | + | 0.406298i | ||||
\(216\) | −14.6181 | + | 1.52007i | −0.994637 | + | 0.103427i | ||||
\(217\) | −14.1718 | + | 4.60469i | −0.962043 | + | 0.312587i | ||||
\(218\) | −5.02080 | − | 7.58566i | −0.340051 | − | 0.513766i | ||||
\(219\) | 7.28290 | + | 4.46662i | 0.492133 | + | 0.301827i | ||||
\(220\) | −4.38965 | + | 14.4175i | −0.295950 | + | 0.972029i | ||||
\(221\) | −0.698693 | − | 0.227019i | −0.0469992 | − | 0.0152710i | ||||
\(222\) | −11.8561 | + | 17.5635i | −0.795732 | + | 1.17878i | ||||
\(223\) | 1.02230 | − | 0.742747i | 0.0684585 | − | 0.0497380i | −0.553030 | − | 0.833162i | \(-0.686528\pi\) |
0.621488 | + | 0.783424i | \(0.286528\pi\) | |||||||
\(224\) | 2.79924 | − | 12.6253i | 0.187032 | − | 0.843565i | ||||
\(225\) | −13.9951 | + | 5.39792i | −0.933006 | + | 0.359861i | ||||
\(226\) | −3.05261 | − | 4.61203i | −0.203056 | − | 0.306787i | ||||
\(227\) | −3.84597 | − | 5.29352i | −0.255266 | − | 0.351343i | 0.662081 | − | 0.749432i | \(-0.269673\pi\) |
−0.917347 | + | 0.398089i | \(0.869673\pi\) | |||||||
\(228\) | 0.648285 | + | 0.00589944i | 0.0429337 | + | 0.000390700i | ||||
\(229\) | 3.63799 | − | 11.1966i | 0.240405 | − | 0.739891i | −0.755953 | − | 0.654626i | \(-0.772826\pi\) |
0.996358 | − | 0.0852650i | \(-0.0271737\pi\) | |||||||
\(230\) | −21.2292 | + | 1.32317i | −1.39981 | + | 0.0872471i | ||||
\(231\) | −6.97619 | + | 11.3748i | −0.459000 | + | 0.748406i | ||||
\(232\) | 1.75196 | + | 9.45336i | 0.115022 | + | 0.620644i | ||||
\(233\) | −1.41795 | − | 4.36399i | −0.0928928 | − | 0.285895i | 0.893806 | − | 0.448454i | \(-0.148025\pi\) |
−0.986699 | + | 0.162559i | \(0.948025\pi\) | |||||||
\(234\) | −0.720343 | + | 3.52735i | −0.0470903 | + | 0.230590i | ||||
\(235\) | 10.9152 | − | 18.9566i | 0.712027 | − | 1.23659i | ||||
\(236\) | 1.81226 | + | 7.85004i | 0.117968 | + | 0.510994i | ||||
\(237\) | 9.78530 | − | 0.766528i | 0.635624 | − | 0.0497913i | ||||
\(238\) | −0.122101 | + | 2.79631i | −0.00791465 | + | 0.181258i | ||||
\(239\) | 0.561814 | − | 0.408181i | 0.0363407 | − | 0.0264031i | −0.569467 | − | 0.822014i | \(-0.692850\pi\) |
0.605807 | + | 0.795611i | \(0.292850\pi\) | |||||||
\(240\) | 14.6875 | − | 4.92717i | 0.948075 | − | 0.318048i | ||||
\(241\) | −5.97327 | − | 4.33983i | −0.384772 | − | 0.279553i | 0.378538 | − | 0.925586i | \(-0.376427\pi\) |
−0.763310 | + | 0.646033i | \(0.776427\pi\) | |||||||
\(242\) | −0.314021 | + | 0.394776i | −0.0201861 | + | 0.0253771i | ||||
\(243\) | −5.93916 | − | 14.4127i | −0.380997 | − | 0.924576i | ||||
\(244\) | −22.6288 | − | 1.97995i | −1.44866 | − | 0.126754i | ||||
\(245\) | −0.820180 | + | 3.88087i | −0.0523994 | + | 0.247940i | ||||
\(246\) | −12.2238 | + | 18.1081i | −0.779362 | + | 1.15453i | ||||
\(247\) | 0.0490749 | − | 0.151037i | 0.00312256 | − | 0.00961026i | ||||
\(248\) | 13.3731 | + | 12.6909i | 0.849192 | + | 0.805873i | ||||
\(249\) | −15.3358 | + | 13.0884i | −0.971869 | + | 0.829441i | ||||
\(250\) | 13.1544 | − | 8.77286i | 0.831954 | − | 0.554844i | ||||
\(251\) | −3.40810 | −0.215118 | −0.107559 | − | 0.994199i | \(-0.534303\pi\) | ||||
−0.107559 | + | 0.994199i | \(0.534303\pi\) | |||||||
\(252\) | 13.6837 | − | 0.946708i | 0.861990 | − | 0.0596370i | ||||
\(253\) | −21.5579 | − | 7.00460i | −1.35534 | − | 0.440375i | ||||
\(254\) | 24.5616 | − | 6.81141i | 1.54113 | − | 0.427386i | ||||
\(255\) | −2.94545 | + | 1.60230i | −0.184451 | + | 0.100340i | ||||
\(256\) | −15.3803 | + | 4.40969i | −0.961271 | + | 0.275605i | ||||
\(257\) | 14.2944 | 0.891660 | 0.445830 | − | 0.895118i | \(-0.352909\pi\) | ||||
0.445830 | + | 0.895118i | \(0.352909\pi\) | |||||||
\(258\) | 6.66629 | − | 0.230329i | 0.415025 | − | 0.0143397i | ||||
\(259\) | 11.6245 | − | 15.9998i | 0.722313 | − | 0.994179i | ||||
\(260\) | −0.0706184 | − | 3.79423i | −0.00437957 | − | 0.235308i | ||||
\(261\) | −9.08945 | + | 4.62296i | −0.562623 | + | 0.286154i | ||||
\(262\) | −0.611099 | + | 13.9951i | −0.0377538 | + | 0.864622i | ||||
\(263\) | −6.45346 | + | 8.88242i | −0.397937 | + | 0.547714i | −0.960225 | − | 0.279228i | \(-0.909921\pi\) |
0.562288 | + | 0.826942i | \(0.309921\pi\) | |||||||
\(264\) | 16.4865 | + | 0.870256i | 1.01467 | + | 0.0535606i | ||||
\(265\) | 24.4882 | + | 14.1003i | 1.50430 | + | 0.866173i | ||||
\(266\) | −0.604482 | − | 0.0263948i | −0.0370631 | − | 0.00161837i | ||||
\(267\) | −0.201748 | − | 0.123733i | −0.0123468 | − | 0.00757231i | ||||
\(268\) | −2.19776 | + | 5.17749i | −0.134250 | + | 0.316265i | ||||
\(269\) | −1.94224 | + | 0.631071i | −0.118420 | + | 0.0384771i | −0.367628 | − | 0.929973i | \(-0.619830\pi\) |
0.249207 | + | 0.968450i | \(0.419830\pi\) | |||||||
\(270\) | 9.42571 | + | 13.4594i | 0.573631 | + | 0.819114i | ||||
\(271\) | −2.88220 | − | 0.936483i | −0.175081 | − | 0.0568873i | 0.220165 | − | 0.975463i | \(-0.429341\pi\) |
−0.395246 | + | 0.918575i | \(0.629341\pi\) | |||||||
\(272\) | 3.11257 | − | 1.51804i | 0.188728 | − | 0.0920447i | ||||
\(273\) | 0.785557 | − | 3.26683i | 0.0475441 | − | 0.197717i | ||||
\(274\) | 11.3810 | + | 17.1950i | 0.687552 | + | 1.03879i | ||||
\(275\) | 16.4734 | − | 3.54167i | 0.993385 | − | 0.213571i | ||||
\(276\) | 6.99831 | + | 22.2247i | 0.421248 | + | 1.33777i | ||||
\(277\) | −12.9016 | − | 17.7575i | −0.775183 | − | 1.06695i | −0.995797 | − | 0.0915865i | \(-0.970806\pi\) |
0.220614 | − | 0.975361i | \(-0.429194\pi\) | |||||||
\(278\) | 7.00589 | + | 25.2628i | 0.420185 | + | 1.51516i | ||||
\(279\) | −8.89036 | + | 17.4169i | −0.532252 | + | 1.04272i | ||||
\(280\) | −13.8582 | + | 4.12236i | −0.828186 | + | 0.246358i | ||||
\(281\) | −6.14816 | + | 1.99766i | −0.366768 | + | 0.119170i | −0.486602 | − | 0.873624i | \(-0.661764\pi\) |
0.119834 | + | 0.992794i | \(0.461764\pi\) | |||||||
\(282\) | −23.0316 | − | 6.61341i | −1.37151 | − | 0.393823i | ||||
\(283\) | −2.96392 | − | 9.12201i | −0.176187 | − | 0.542247i | 0.823499 | − | 0.567318i | \(-0.192019\pi\) |
−0.999686 | + | 0.0250708i | \(0.992019\pi\) | |||||||
\(284\) | −22.4695 | + | 13.5008i | −1.33332 | + | 0.801125i | ||||
\(285\) | −0.346371 | − | 0.636720i | −0.0205172 | − | 0.0377161i | ||||
\(286\) | 1.41630 | − | 3.78802i | 0.0837475 | − | 0.223990i | ||||
\(287\) | 11.9850 | − | 16.4960i | 0.707454 | − | 0.973726i | ||||
\(288\) | −9.10753 | − | 14.3197i | −0.536667 | − | 0.843794i | ||||
\(289\) | 13.1469 | − | 9.55178i | 0.773347 | − | 0.561870i | ||||
\(290\) | 8.28637 | − | 6.84693i | 0.486592 | − | 0.402065i | ||||
\(291\) | 26.2743 | − | 2.05819i | 1.54023 | − | 0.120653i | ||||
\(292\) | −0.859889 | + | 9.82764i | −0.0503212 | + | 0.575119i | ||||
\(293\) | 12.5626 | 0.733914 | 0.366957 | − | 0.930238i | \(-0.380400\pi\) | ||||
0.366957 | + | 0.930238i | \(0.380400\pi\) | |||||||
\(294\) | 4.34259 | − | 0.150042i | 0.253265 | − | 0.00875064i | ||||
\(295\) | 6.68682 | − | 6.03496i | 0.389322 | − | 0.351369i | ||||
\(296\) | −24.2595 | − | 3.19413i | −1.41005 | − | 0.185655i | ||||
\(297\) | 4.06919 | + | 17.0315i | 0.236118 | + | 0.988268i | ||||
\(298\) | −7.02414 | + | 18.7867i | −0.406897 | + | 1.08828i | ||||
\(299\) | 5.70767 | 0.330083 | ||||||||
\(300\) | −12.7929 | − | 11.6766i | −0.738598 | − | 0.674146i | ||||
\(301\) | −6.22524 | −0.358817 | ||||||||
\(302\) | 1.98254 | − | 5.30248i | 0.114082 | − | 0.305123i | ||||
\(303\) | 8.70889 | + | 21.0468i | 0.500313 | + | 1.20911i | ||||
\(304\) | 0.328156 | + | 0.672848i | 0.0188210 | + | 0.0385905i | ||||
\(305\) | 10.3567 | + | 23.1888i | 0.593022 | + | 1.32778i | ||||
\(306\) | 2.47952 | + | 2.70991i | 0.141745 | + | 0.154915i | ||||
\(307\) | 7.49974 | 0.428033 | 0.214016 | − | 0.976830i | \(-0.431345\pi\) | ||||
0.214016 | + | 0.976830i | \(0.431345\pi\) | |||||||
\(308\) | −15.3493 | − | 1.34302i | −0.874607 | − | 0.0765255i | ||||
\(309\) | −1.20436 | − | 15.3745i | −0.0685134 | − | 0.874625i | ||||
\(310\) | 5.13778 | − | 19.9619i | 0.291806 | − | 1.13376i | ||||
\(311\) | 14.4584 | − | 10.5046i | 0.819860 | − | 0.595663i | −0.0968125 | − | 0.995303i | \(-0.530865\pi\) |
0.916672 | + | 0.399640i | \(0.130865\pi\) | |||||||
\(312\) | −4.01585 | + | 1.07442i | −0.227353 | + | 0.0608270i | ||||
\(313\) | −1.77730 | + | 2.44625i | −0.100459 | + | 0.138270i | −0.856287 | − | 0.516500i | \(-0.827235\pi\) |
0.755828 | + | 0.654770i | \(0.227235\pi\) | |||||||
\(314\) | −6.11917 | + | 16.3663i | −0.345325 | + | 0.923601i | ||||
\(315\) | −8.35784 | − | 12.8577i | −0.470911 | − | 0.724449i | ||||
\(316\) | 5.83721 | + | 9.71493i | 0.328369 | + | 0.546508i | ||||
\(317\) | −8.26871 | − | 25.4485i | −0.464417 | − | 1.42933i | −0.859714 | − | 0.510775i | \(-0.829359\pi\) |
0.395298 | − | 0.918553i | \(-0.370641\pi\) | |||||||
\(318\) | 8.54323 | − | 29.7524i | 0.479081 | − | 1.66843i | ||||
\(319\) | 10.8945 | − | 3.53983i | 0.609974 | − | 0.198192i | ||||
\(320\) | 12.6635 | + | 12.6347i | 0.707912 | + | 0.706300i | ||||
\(321\) | −5.47659 | − | 13.2353i | −0.305674 | − | 0.738724i | ||||
\(322\) | −5.81126 | − | 20.9551i | −0.323849 | − | 1.16778i | ||||
\(323\) | −0.0952376 | − | 0.131083i | −0.00529916 | − | 0.00729367i | ||||
\(324\) | 11.8290 | − | 13.5674i | 0.657166 | − | 0.753746i | ||||
\(325\) | −3.66943 | + | 2.12996i | −0.203543 | + | 0.118149i | ||||
\(326\) | 9.13043 | + | 13.7947i | 0.505688 | + | 0.764018i | ||||
\(327\) | 10.8324 | + | 2.60481i | 0.599033 | + | 0.144046i | ||||
\(328\) | −25.0118 | − | 3.29318i | −1.38104 | − | 0.181836i | ||||
\(329\) | 21.2690 | + | 6.91073i | 1.17260 | + | 0.381001i | ||||
\(330\) | −8.10469 | − | 16.5836i | −0.446149 | − | 0.912895i | ||||
\(331\) | 5.34359 | − | 1.73624i | 0.293710 | − | 0.0954322i | −0.158456 | − | 0.987366i | \(-0.550652\pi\) |
0.452166 | + | 0.891934i | \(0.350652\pi\) | |||||||
\(332\) | −21.4299 | − | 9.09667i | −1.17612 | − | 0.499244i | ||||
\(333\) | −4.04126 | − | 25.6366i | −0.221460 | − | 1.40487i | ||||
\(334\) | −16.3684 | − | 0.714730i | −0.895641 | − | 0.0391083i | ||||
\(335\) | 6.25331 | − | 0.664616i | 0.341655 | − | 0.0363118i | ||||
\(336\) | 8.03334 | + | 13.6498i | 0.438255 | + | 0.744659i | ||||
\(337\) | −17.1205 | + | 23.5644i | −0.932615 | + | 1.28363i | 0.0262154 | + | 0.999656i | \(0.491654\pi\) |
−0.958831 | + | 0.283979i | \(0.908346\pi\) | |||||||
\(338\) | 0.757586 | − | 17.3499i | 0.0412073 | − | 0.943712i | ||||
\(339\) | 6.58602 | + | 1.58371i | 0.357704 | + | 0.0860151i | ||||
\(340\) | −3.17415 | − | 2.21709i | −0.172142 | − | 0.120239i | ||||
\(341\) | 12.9114 | − | 17.7711i | 0.699193 | − | 0.962357i | ||||
\(342\) | −0.585804 | + | 0.536000i | −0.0316767 | + | 0.0289836i | ||||
\(343\) | −20.0577 | −1.08302 | ||||||||
\(344\) | 3.67507 | + | 6.76884i | 0.198147 | + | 0.364951i | ||||
\(345\) | 17.9170 | − | 18.9109i | 0.964621 | − | 1.01813i | ||||
\(346\) | −5.78496 | + | 1.60429i | −0.311002 | + | 0.0862470i | ||||
\(347\) | −31.7731 | − | 10.3237i | −1.70567 | − | 0.554205i | −0.716066 | − | 0.698033i | \(-0.754059\pi\) |
−0.989603 | + | 0.143828i | \(0.954059\pi\) | |||||||
\(348\) | −9.46289 | − | 7.00763i | −0.507264 | − | 0.375649i | ||||
\(349\) | 19.2600 | 1.03096 | 0.515482 | − | 0.856900i | \(-0.327613\pi\) | ||||
0.515482 | + | 0.856900i | \(0.327613\pi\) | |||||||
\(350\) | 11.5559 | + | 11.3033i | 0.617691 | + | 0.604186i | ||||
\(351\) | −2.29972 | − | 3.76203i | −0.122750 | − | 0.200802i | ||||
\(352\) | 7.60116 | + | 17.4825i | 0.405143 | + | 0.931818i | ||||
\(353\) | 1.29250 | − | 3.97789i | 0.0687926 | − | 0.211722i | −0.910750 | − | 0.412958i | \(-0.864496\pi\) |
0.979543 | + | 0.201236i | \(0.0644958\pi\) | |||||||
\(354\) | −8.17822 | − | 5.52067i | −0.434667 | − | 0.293420i | ||||
\(355\) | 25.3982 | + | 14.6242i | 1.34800 | + | 0.776174i | ||||
\(356\) | 0.0238203 | − | 0.272241i | 0.00126247 | − | 0.0144287i | ||||
\(357\) | −2.22538 | − | 2.60751i | −0.117780 | − | 0.138004i | ||||
\(358\) | −2.03961 | + | 2.56412i | −0.107797 | + | 0.135518i | ||||
\(359\) | −19.3619 | − | 14.0673i | −1.02188 | − | 0.742442i | −0.0552152 | − | 0.998474i | \(-0.517584\pi\) |
−0.966668 | + | 0.256033i | \(0.917584\pi\) | |||||||
\(360\) | −9.04640 | + | 16.6782i | −0.476787 | + | 0.879019i | ||||
\(361\) | −15.3430 | + | 11.1473i | −0.807526 | + | 0.586702i | ||||
\(362\) | 1.32924 | − | 30.4416i | 0.0698631 | − | 1.59998i | ||||
\(363\) | −0.0482479 | − | 0.615920i | −0.00253236 | − | 0.0323274i | ||||
\(364\) | 3.78031 | − | 0.872719i | 0.198142 | − | 0.0457429i | ||||
\(365\) | 10.0708 | − | 4.49788i | 0.527131 | − | 0.235430i | ||||
\(366\) | 21.9291 | − | 17.1199i | 1.14625 | − | 0.894870i | ||||
\(367\) | 0.174088 | + | 0.535788i | 0.00908733 | + | 0.0279679i | 0.955497 | − | 0.295000i | \(-0.0953195\pi\) |
−0.946410 | + | 0.322968i | \(0.895320\pi\) | |||||||
\(368\) | −19.3542 | + | 18.6895i | −1.00891 | + | 0.974260i | ||||
\(369\) | −4.16658 | − | 26.4316i | −0.216904 | − | 1.37597i | ||||
\(370\) | 10.0559 | + | 25.4418i | 0.522782 | + | 1.32266i | ||||
\(371\) | −8.92731 | + | 27.4754i | −0.463483 | + | 1.42645i | ||||
\(372\) | −22.5789 | − | 0.205469i | −1.17066 | − | 0.0106531i | ||||
\(373\) | 1.25499 | + | 1.72734i | 0.0649809 | + | 0.0894385i | 0.840271 | − | 0.542167i | \(-0.182396\pi\) |
−0.775290 | + | 0.631606i | \(0.782396\pi\) | |||||||
\(374\) | −2.27732 | − | 3.44068i | −0.117757 | − | 0.177914i | ||||
\(375\) | −4.46169 | + | 18.8439i | −0.230401 | + | 0.973096i | ||||
\(376\) | −5.04199 | − | 27.2060i | −0.260021 | − | 1.40304i | ||||
\(377\) | −2.33354 | + | 1.69542i | −0.120184 | + | 0.0873185i | ||||
\(378\) | −11.4704 | + | 12.2735i | −0.589975 | + | 0.631279i | ||||
\(379\) | −13.4079 | − | 4.35649i | −0.688718 | − | 0.223778i | −0.0563096 | − | 0.998413i | \(-0.517933\pi\) |
−0.632408 | + | 0.774635i | \(0.717933\pi\) | |||||||
\(380\) | 0.479271 | − | 0.686158i | 0.0245861 | − | 0.0351992i | ||||
\(381\) | −16.3205 | + | 26.6109i | −0.836126 | + | 1.36332i | ||||
\(382\) | 2.29068 | + | 3.46088i | 0.117202 | + | 0.177074i | ||||
\(383\) | 13.6774 | − | 4.44407i | 0.698885 | − | 0.227081i | 0.0620403 | − | 0.998074i | \(-0.480239\pi\) |
0.636845 | + | 0.770992i | \(0.280239\pi\) | |||||||
\(384\) | 10.0993 | − | 16.7930i | 0.515376 | − | 0.856964i | ||||
\(385\) | 7.02501 | + | 15.7291i | 0.358028 | + | 0.801629i | ||||
\(386\) | −10.6219 | + | 28.4093i | −0.540643 | + | 1.44600i | ||||
\(387\) | −5.78084 | + | 5.77241i | −0.293856 | + | 0.293428i | ||||
\(388\) | 15.6734 | + | 26.0854i | 0.795695 | + | 1.32428i | ||||
\(389\) | 8.42096 | + | 11.5905i | 0.426960 | + | 0.587659i | 0.967252 | − | 0.253818i | \(-0.0816864\pi\) |
−0.540292 | + | 0.841477i | \(0.681686\pi\) | |||||||
\(390\) | 3.23127 | + | 3.34075i | 0.163622 | + | 0.169166i | ||||
\(391\) | 3.42286 | − | 4.71117i | 0.173102 | − | 0.238254i | ||||
\(392\) | 2.39403 | + | 4.40939i | 0.120917 | + | 0.222708i | ||||
\(393\) | −11.1377 | − | 13.0502i | −0.561822 | − | 0.658296i | ||||
\(394\) | −7.91412 | + | 9.94933i | −0.398708 | + | 0.501240i | ||||
\(395\) | 6.32295 | − | 10.9812i | 0.318142 | − | 0.552524i | ||||
\(396\) | −15.4989 | + | 12.9856i | −0.778847 | + | 0.652551i | ||||
\(397\) | 4.16039 | + | 1.35179i | 0.208804 | + | 0.0678445i | 0.411551 | − | 0.911387i | \(-0.364987\pi\) |
−0.202748 | + | 0.979231i | \(0.564987\pi\) | |||||||
\(398\) | 9.60443 | − | 25.6879i | 0.481426 | − | 1.28762i | ||||
\(399\) | 0.563668 | − | 0.481062i | 0.0282187 | − | 0.0240832i | ||||
\(400\) | 5.46826 | − | 19.2379i | 0.273413 | − | 0.961897i | ||||
\(401\) | 11.1310i | 0.555854i | 0.960602 | + | 0.277927i | \(0.0896473\pi\) | ||||
−0.960602 | + | 0.277927i | \(0.910353\pi\) | |||||||
\(402\) | −2.35370 | − | 6.47417i | −0.117392 | − | 0.322902i | ||||
\(403\) | −1.70921 | + | 5.26041i | −0.0851419 | + | 0.262040i | ||||
\(404\) | −17.2553 | + | 19.8496i | −0.858483 | + | 0.987555i | ||||
\(405\) | −19.6836 | − | 4.18994i | −0.978086 | − | 0.208200i | ||||
\(406\) | 8.60044 | + | 6.84115i | 0.426833 | + | 0.339521i | ||||
\(407\) | 29.1538i | 1.44510i | ||||||||
\(408\) | −1.52145 | + | 3.95905i | −0.0753230 | + | 0.196002i | ||||
\(409\) | −0.474369 | − | 0.344649i | −0.0234560 | − | 0.0170418i | 0.575995 | − | 0.817453i | \(-0.304615\pi\) |
−0.599451 | + | 0.800411i | \(0.704615\pi\) | |||||||
\(410\) | 10.3678 | + | 26.2308i | 0.512027 | + | 1.29544i | ||||
\(411\) | −24.5546 | − | 5.90452i | −1.21119 | − | 0.291248i | ||||
\(412\) | 15.2639 | − | 9.17133i | 0.752000 | − | 0.451839i | ||||
\(413\) | 7.45011 | + | 5.41283i | 0.366596 | + | 0.266348i | ||||
\(414\) | −24.8272 | − | 14.0706i | −1.22019 | − | 0.691532i | ||||
\(415\) | 2.75088 | + | 25.8828i | 0.135036 | + | 1.27054i | ||||
\(416\) | −3.18063 | − | 3.59520i | −0.155943 | − | 0.176269i | ||||
\(417\) | −27.3707 | − | 16.7865i | −1.34035 | − | 0.822038i | ||||
\(418\) | 0.743776 | − | 0.492290i | 0.0363793 | − | 0.0240787i | ||||
\(419\) | −9.15687 | − | 28.1820i | −0.447343 | − | 1.37678i | −0.879894 | − | 0.475170i | \(-0.842387\pi\) |
0.432552 | − | 0.901609i | \(-0.357613\pi\) | |||||||
\(420\) | 8.97529 | − | 15.2646i | 0.437949 | − | 0.744838i | ||||
\(421\) | 11.0740 | − | 34.0823i | 0.539715 | − | 1.66107i | −0.193520 | − | 0.981096i | \(-0.561990\pi\) |
0.733235 | − | 0.679975i | \(-0.238010\pi\) | |||||||
\(422\) | −5.81346 | − | 20.9630i | −0.282995 | − | 1.02046i | ||||
\(423\) | 26.1587 | − | 13.3045i | 1.27188 | − | 0.646887i | ||||
\(424\) | 35.1449 | − | 6.51327i | 1.70679 | − | 0.316312i | ||||
\(425\) | −0.442450 | + | 4.30611i | −0.0214620 | + | 0.208877i | ||||
\(426\) | 8.86070 | − | 30.8580i | 0.429302 | − | 1.49507i | ||||
\(427\) | −21.0055 | + | 15.2614i | −1.01653 | + | 0.738552i | ||||
\(428\) | 10.8510 | − | 12.4824i | 0.524503 | − | 0.603362i | ||||
\(429\) | 1.89377 | + | 4.57669i | 0.0914321 | + | 0.220965i | ||||
\(430\) | 4.61840 | − | 7.26805i | 0.222719 | − | 0.350496i | ||||
\(431\) | 0.769841 | + | 2.36933i | 0.0370819 | + | 0.114126i | 0.967884 | − | 0.251397i | \(-0.0808900\pi\) |
−0.930802 | + | 0.365523i | \(0.880890\pi\) | |||||||
\(432\) | 20.1168 | + | 5.22641i | 0.967869 | + | 0.251456i | ||||
\(433\) | 23.8128 | − | 7.73723i | 1.14437 | − | 0.371828i | 0.325349 | − | 0.945594i | \(-0.394518\pi\) |
0.819019 | + | 0.573766i | \(0.194518\pi\) | |||||||
\(434\) | 21.0533 | + | 0.919293i | 1.01059 | + | 0.0441275i | ||||
\(435\) | −1.70793 | + | 13.0537i | −0.0818890 | + | 0.625878i | ||||
\(436\) | 2.89383 | + | 12.5350i | 0.138589 | + | 0.600319i | ||||
\(437\) | 1.01842 | + | 0.739924i | 0.0487175 | + | 0.0353954i | ||||
\(438\) | −7.43511 | − | 9.52375i | −0.355263 | − | 0.455063i | ||||
\(439\) | −14.3650 | − | 19.7717i | −0.685604 | − | 0.943653i | 0.314380 | − | 0.949297i | \(-0.398203\pi\) |
−0.999984 | + | 0.00564459i | \(0.998203\pi\) | |||||||
\(440\) | 12.9554 | − | 16.9241i | 0.617623 | − | 0.806826i | ||||
\(441\) | −3.76578 | + | 3.76029i | −0.179323 | + | 0.179062i | ||||
\(442\) | 0.813089 | + | 0.646766i | 0.0386747 | + | 0.0307635i | ||||
\(443\) | 3.46679i | 0.164712i | 0.996603 | + | 0.0823561i | \(0.0262445\pi\) | ||||
−0.996603 | + | 0.0823561i | \(0.973756\pi\) | |||||||
\(444\) | 24.4040 | − | 17.3935i | 1.15816 | − | 0.825457i | ||||
\(445\) | −0.278978 | + | 0.124598i | −0.0132248 | + | 0.00590653i | ||||
\(446\) | −1.72206 | + | 0.477562i | −0.0815419 | + | 0.0226132i | ||||
\(447\) | −9.39216 | − | 22.6981i | −0.444234 | − | 1.07358i | ||||
\(448\) | −9.96102 | + | 15.3378i | −0.470614 | + | 0.724642i | ||||
\(449\) | − | 7.76424i | − | 0.366417i | −0.983074 | − | 0.183209i | \(-0.941352\pi\) | ||
0.983074 | − | 0.183209i | \(-0.0586484\pi\) | |||||||
\(450\) | 21.2121 | − | 0.218971i | 0.999947 | − | 0.0103224i | ||||
\(451\) | 30.0578i | 1.41537i | ||||||||
\(452\) | 1.75943 | + | 7.62121i | 0.0827565 | + | 0.358471i | ||||
\(453\) | 2.65091 | + | 6.40647i | 0.124551 | + | 0.301002i | ||||
\(454\) | 2.47283 | + | 8.91688i | 0.116056 | + | 0.418490i | ||||
\(455\) | −2.90623 | − | 3.22014i | −0.136246 | − | 0.150962i | ||||
\(456\) | −0.855831 | − | 0.328893i | −0.0400779 | − | 0.0154018i | ||||
\(457\) | − | 22.5468i | − | 1.05470i | −0.849649 | − | 0.527349i | \(-0.823186\pi\) | ||
0.849649 | − | 0.527349i | \(-0.176814\pi\) | |||||||
\(458\) | −10.3644 | + | 13.0298i | −0.484298 | + | 0.608841i | ||||
\(459\) | −4.48435 | − | 0.357865i | −0.209312 | − | 0.0167037i | ||||
\(460\) | 28.7766 | + | 8.76151i | 1.34172 | + | 0.408507i | ||||
\(461\) | −7.95325 | − | 10.9467i | −0.370420 | − | 0.509839i | 0.582595 | − | 0.812763i | \(-0.302037\pi\) |
−0.953015 | + | 0.302923i | \(0.902037\pi\) | |||||||
\(462\) | 14.8747 | − | 11.6125i | 0.692032 | − | 0.540263i | ||||
\(463\) | 22.8067 | + | 16.5701i | 1.05992 | + | 0.770076i | 0.974073 | − | 0.226232i | \(-0.0726409\pi\) |
0.0858455 | + | 0.996308i | \(0.472641\pi\) | |||||||
\(464\) | 2.36127 | − | 13.3901i | 0.109619 | − | 0.621621i | ||||
\(465\) | 12.0636 | + | 22.1761i | 0.559437 | + | 1.02839i | ||||
\(466\) | −0.283083 | + | 6.48305i | −0.0131136 | + | 0.300321i | ||||
\(467\) | 11.0844 | − | 3.60154i | 0.512925 | − | 0.166660i | −0.0411068 | − | 0.999155i | \(-0.513088\pi\) |
0.554032 | + | 0.832495i | \(0.313088\pi\) | |||||||
\(468\) | 2.70120 | − | 4.31574i | 0.124863 | − | 0.199495i | ||||
\(469\) | 1.98671 | + | 6.11447i | 0.0917379 | + | 0.282340i | ||||
\(470\) | −23.8475 | + | 19.7049i | −1.10000 | + | 0.908919i | ||||
\(471\) | −8.18210 | − | 19.7737i | −0.377011 | − | 0.911126i | ||||
\(472\) | 1.48731 | − | 11.2961i | 0.0684589 | − | 0.519947i | ||||
\(473\) | 7.42423 | − | 5.39402i | 0.341366 | − | 0.248017i | ||||
\(474\) | −13.3418 | − | 3.83102i | −0.612808 | − | 0.175965i | ||||
\(475\) | −0.930857 | − | 0.0956449i | −0.0427106 | − | 0.00438849i | ||||
\(476\) | 1.54668 | − | 3.64367i | 0.0708920 | − | 0.167007i | ||||
\(477\) | 17.1868 | + | 33.7920i | 0.786931 | + | 1.54723i | ||||
\(478\) | −0.946369 | + | 0.262447i | −0.0432859 | + | 0.0120041i | ||||
\(479\) | −0.987209 | + | 3.03832i | −0.0451067 | + | 0.138824i | −0.971074 | − | 0.238781i | \(-0.923252\pi\) |
0.925967 | + | 0.377605i | \(0.123252\pi\) | |||||||
\(480\) | −21.8961 | − | 0.747546i | −0.999418 | − | 0.0341207i | ||||
\(481\) | −2.26848 | − | 6.98166i | −0.103434 | − | 0.318336i | ||||
\(482\) | 5.76310 | + | 8.70717i | 0.262502 | + | 0.396601i | ||||
\(483\) | 22.7035 | + | 13.9241i | 1.03304 | + | 0.633569i | ||||
\(484\) | 0.611491 | − | 0.367414i | 0.0277950 | − | 0.0167006i | ||||
\(485\) | 16.9776 | − | 29.4854i | 0.770914 | − | 1.33886i | ||||
\(486\) | 0.729087 | + | 22.0333i | 0.0330721 | + | 0.999453i | ||||
\(487\) | −19.7614 | − | 14.3575i | −0.895474 | − | 0.650600i | 0.0418254 | − | 0.999125i | \(-0.486683\pi\) |
−0.937300 | + | 0.348525i | \(0.886683\pi\) | |||||||
\(488\) | 28.9947 | + | 13.8302i | 1.31253 | + | 0.626064i | ||||
\(489\) | −19.6990 | − | 4.73691i | −0.890818 | − | 0.214210i | ||||
\(490\) | 3.00855 | − | 4.73459i | 0.135912 | − | 0.213887i | ||||
\(491\) | −29.3515 | − | 21.3251i | −1.32461 | − | 0.962387i | −0.999862 | − | 0.0165877i | \(-0.994720\pi\) |
−0.324750 | − | 0.945800i | \(-0.605280\pi\) | |||||||
\(492\) | 25.1608 | − | 17.9328i | 1.13434 | − | 0.808475i | ||||
\(493\) | 2.94287i | 0.132540i | ||||||||
\(494\) | −0.139812 | + | 0.175766i | −0.00629044 | + | 0.00790809i | ||||
\(495\) | 21.1085 | + | 8.09224i | 0.948754 | + | 0.363719i | ||||
\(496\) | −11.4292 | − | 23.4344i | −0.513187 | − | 1.05223i | ||||
\(497\) | −9.25905 | + | 28.4964i | −0.415325 | + | 1.27824i | ||||
\(498\) | 26.7970 | − | 9.74210i | 1.20080 | − | 0.436554i | ||||
\(499\) | − | 22.8784i | − | 1.02418i | −0.858933 | − | 0.512088i | \(-0.828872\pi\) | ||
0.858933 | − | 0.512088i | \(-0.171128\pi\) | |||||||
\(500\) | −21.7699 | + | 5.10599i | −0.973580 | + | 0.228347i | ||||
\(501\) | 15.2633 | − | 13.0264i | 0.681912 | − | 0.581978i | ||||
\(502\) | 4.51455 | + | 1.68794i | 0.201494 | + | 0.0753366i | ||||
\(503\) | 0.859969 | + | 0.279421i | 0.0383441 | + | 0.0124588i | 0.328126 | − | 0.944634i | \(-0.393583\pi\) |
−0.289782 | + | 0.957093i | \(0.593583\pi\) | |||||||
\(504\) | −18.5950 | − | 5.52310i | −0.828287 | − | 0.246018i | ||||
\(505\) | 28.7701 | + | 6.08026i | 1.28025 | + | 0.270568i | ||||
\(506\) | 25.0876 | + | 19.9557i | 1.11528 | + | 0.887140i | ||||
\(507\) | 13.8075 | + | 16.1785i | 0.613214 | + | 0.718512i | ||||
\(508\) | −35.9090 | − | 3.14193i | −1.59321 | − | 0.139401i | ||||
\(509\) | −18.7143 | + | 25.7581i | −0.829498 | + | 1.14171i | 0.158518 | + | 0.987356i | \(0.449328\pi\) |
−0.988016 | + | 0.154350i | \(0.950672\pi\) | |||||||
\(510\) | 4.69527 | − | 0.663689i | 0.207910 | − | 0.0293886i | ||||
\(511\) | 6.62800 | + | 9.12265i | 0.293205 | + | 0.403562i | ||||
\(512\) | 22.5576 | + | 1.77617i | 0.996914 | + | 0.0784963i | ||||
\(513\) | 0.0773601 | − | 0.969386i | 0.00341553 | − | 0.0427994i | ||||
\(514\) | −18.9351 | − | 7.07963i | −0.835191 | − | 0.312269i | ||||
\(515\) | −17.2535 | − | 9.93451i | −0.760278 | − | 0.437767i | ||||
\(516\) | −8.94460 | − | 2.99653i | −0.393764 | − | 0.131915i | ||||
\(517\) | −31.3534 | + | 10.1874i | −1.37892 | + | 0.448039i | ||||
\(518\) | −23.3227 | + | 15.4368i | −1.02474 | + | 0.678256i | ||||
\(519\) | 3.84396 | − | 6.26764i | 0.168731 | − | 0.275119i | ||||
\(520\) | −1.78564 | + | 5.06101i | −0.0783054 | + | 0.221940i | ||||
\(521\) | −36.5052 | − | 11.8612i | −1.59932 | − | 0.519651i | −0.632381 | − | 0.774658i | \(-0.717922\pi\) |
−0.966939 | + | 0.255007i | \(0.917922\pi\) | |||||||
\(522\) | 14.3300 | − | 1.62204i | 0.627207 | − | 0.0709950i | ||||
\(523\) | −34.5326 | + | 25.0894i | −1.51001 | + | 1.09708i | −0.543833 | + | 0.839193i | \(0.683028\pi\) |
−0.966174 | + | 0.257891i | \(0.916972\pi\) | |||||||
\(524\) | 7.74091 | − | 18.2360i | 0.338163 | − | 0.796645i | ||||
\(525\) | −19.7921 | − | 0.479359i | −0.863797 | − | 0.0209209i | ||||
\(526\) | 12.9478 | − | 8.56990i | 0.564552 | − | 0.373665i | ||||
\(527\) | 3.31699 | + | 4.56545i | 0.144490 | + | 0.198874i | ||||
\(528\) | −21.4078 | − | 9.31809i | −0.931655 | − | 0.405518i | ||||
\(529\) | −6.87341 | + | 21.1542i | −0.298844 | + | 0.919747i | ||||
\(530\) | −25.4549 | − | 30.8063i | −1.10569 | − | 1.33814i | ||||
\(531\) | 11.9374 | − | 1.88176i | 0.518037 | − | 0.0816616i | ||||
\(532\) | 0.787655 | + | 0.334348i | 0.0341492 | + | 0.0144958i | ||||
\(533\) | −2.33883 | − | 7.19817i | −0.101306 | − | 0.311787i | ||||
\(534\) | 0.205964 | + | 0.263823i | 0.00891295 | + | 0.0114167i | ||||
\(535\) | −18.0921 | − | 3.82358i | −0.782191 | − | 0.165308i | ||||
\(536\) | 5.47554 | − | 5.76988i | 0.236507 | − | 0.249221i | ||||
\(537\) | −0.313376 | − | 4.00048i | −0.0135232 | − | 0.172634i | ||||
\(538\) | 2.88534 | + | 0.125989i | 0.124396 | + | 0.00543176i | ||||
\(539\) | 4.83633 | − | 3.51380i | 0.208316 | − | 0.151350i | ||||
\(540\) | −5.81970 | − | 22.4974i | −0.250440 | − | 0.968132i | ||||
\(541\) | 5.28126 | + | 3.83706i | 0.227059 | + | 0.164968i | 0.695499 | − | 0.718528i | \(-0.255184\pi\) |
−0.468439 | + | 0.883496i | \(0.655184\pi\) | |||||||
\(542\) | 3.35409 | + | 2.66799i | 0.144071 | + | 0.114600i | ||||
\(543\) | 24.2262 | + | 28.3862i | 1.03965 | + | 1.21817i | ||||
\(544\) | −4.87492 | + | 0.469300i | −0.209011 | + | 0.0201211i | ||||
\(545\) | 10.6776 | − | 9.63669i | 0.457378 | − | 0.412791i | ||||
\(546\) | −2.65856 | + | 3.93835i | −0.113776 | + | 0.168546i | ||||
\(547\) | −10.9042 | + | 33.5598i | −0.466232 | + | 1.43491i | 0.391195 | + | 0.920308i | \(0.372062\pi\) |
−0.857427 | + | 0.514606i | \(0.827938\pi\) | |||||||
\(548\) | −6.55966 | − | 28.4141i | −0.280215 | − | 1.21379i | ||||
\(549\) | −5.35473 | + | 33.6495i | −0.228534 | + | 1.43613i | ||||
\(550\) | −23.5757 | − | 3.46737i | −1.00527 | − | 0.147849i | ||||
\(551\) | −0.636162 | −0.0271014 | ||||||||
\(552\) | 1.73699 | − | 32.9061i | 0.0739310 | − | 1.40058i | ||||
\(553\) | 12.3207 | + | 4.00325i | 0.523931 | + | 0.170236i | ||||
\(554\) | 8.29531 | + | 29.9124i | 0.352434 | + | 1.27086i | ||||
\(555\) | −30.2530 | − | 14.4002i | −1.28417 | − | 0.611256i | ||||
\(556\) | 3.23164 | − | 36.9343i | 0.137052 | − | 1.56636i | ||||
\(557\) | 44.8167 | 1.89894 | 0.949472 | − | 0.313851i | \(-0.101619\pi\) | ||||
0.949472 | + | 0.313851i | \(0.101619\pi\) | |||||||
\(558\) | 20.4027 | − | 18.6681i | 0.863717 | − | 0.790286i | ||||
\(559\) | −1.35822 | + | 1.86943i | −0.0574466 | + | 0.0790685i | ||||
\(560\) | 20.3990 | + | 1.40290i | 0.862015 | + | 0.0592833i | ||||
\(561\) | 4.91333 | + | 1.18148i | 0.207441 | + | 0.0498822i | ||||
\(562\) | 9.13356 | + | 0.398818i | 0.385276 | + | 0.0168231i | ||||
\(563\) | 17.0659 | − | 23.4892i | 0.719241 | − | 0.989951i | −0.280307 | − | 0.959910i | \(-0.590436\pi\) |
0.999549 | − | 0.0300405i | \(-0.00956363\pi\) | |||||||
\(564\) | 27.2334 | + | 20.1674i | 1.14673 | + | 0.849201i | ||||
\(565\) | 6.49189 | − | 5.85904i | 0.273116 | − | 0.246491i | ||||
\(566\) | −0.591725 | + | 13.5514i | −0.0248721 | + | 0.569610i | ||||
\(567\) | 0.0300278 | − | 20.5746i | 0.00126105 | − | 0.864050i | ||||
\(568\) | 36.4509 | − | 6.75530i | 1.52945 | − | 0.283446i | ||||
\(569\) | −23.6422 | + | 7.68181i | −0.991132 | + | 0.322038i | −0.759317 | − | 0.650721i | \(-0.774467\pi\) |
−0.231816 | + | 0.972760i | \(0.574467\pi\) | |||||||
\(570\) | 0.143470 | + | 1.01498i | 0.00600931 | + | 0.0425129i | ||||
\(571\) | 23.5466 | + | 7.65077i | 0.985396 | + | 0.320175i | 0.757015 | − | 0.653397i | \(-0.226657\pi\) |
0.228381 | + | 0.973572i | \(0.426657\pi\) | |||||||
\(572\) | −3.75221 | + | 4.31635i | −0.156888 | + | 0.180476i | ||||
\(573\) | −4.94217 | − | 1.18842i | −0.206462 | − | 0.0496468i | ||||
\(574\) | −24.0460 | + | 15.9156i | −1.00366 | + | 0.664303i | ||||
\(575\) | −7.06898 | − | 32.8801i | −0.294797 | − | 1.37119i | ||||
\(576\) | 4.97216 | + | 23.4793i | 0.207173 | + | 0.978304i | ||||
\(577\) | 10.1397 | + | 13.9561i | 0.422122 | + | 0.581001i | 0.966123 | − | 0.258084i | \(-0.0830910\pi\) |
−0.544000 | + | 0.839085i | \(0.683091\pi\) | |||||||
\(578\) | −22.1458 | + | 6.14148i | −0.921145 | + | 0.255452i | ||||
\(579\) | −14.2029 | − | 34.3242i | −0.590252 | − | 1.42647i | ||||
\(580\) | −14.3677 | + | 4.96578i | −0.596585 | + | 0.206193i | ||||
\(581\) | −25.3082 | + | 8.22312i | −1.04996 | + | 0.341152i | ||||
\(582\) | −35.8237 | − | 10.2866i | −1.48494 | − | 0.426393i | ||||
\(583\) | −13.1601 | − | 40.5025i | −0.545035 | − | 1.67744i | ||||
\(584\) | 6.00642 | − | 12.5923i | 0.248548 | − | 0.521074i | ||||
\(585\) | −5.68466 | − | 0.295440i | −0.235032 | − | 0.0122149i | ||||
\(586\) | −16.6410 | − | 6.22191i | −0.687435 | − | 0.257025i | ||||
\(587\) | −9.92667 | + | 13.6629i | −0.409718 | + | 0.563928i | −0.963150 | − | 0.268967i | \(-0.913318\pi\) |
0.553432 | + | 0.832894i | \(0.313318\pi\) | |||||||
\(588\) | −5.82674 | − | 1.95202i | −0.240291 | − | 0.0804998i | ||||
\(589\) | −0.986917 | + | 0.717037i | −0.0406652 | + | 0.0295450i | ||||
\(590\) | −11.8467 | + | 4.68242i | −0.487719 | + | 0.192772i | ||||
\(591\) | −1.21597 | − | 15.5227i | −0.0500182 | − | 0.638520i | ||||
\(592\) | 30.5534 | + | 16.2462i | 1.25574 | + | 0.667714i | ||||
\(593\) | −15.9897 | −0.656617 | −0.328309 | − | 0.944570i | \(-0.606479\pi\) | ||||
−0.328309 | + | 0.944570i | \(0.606479\pi\) | |||||||
\(594\) | 3.04499 | − | 24.5762i | 0.124937 | − | 1.00837i | ||||
\(595\) | −4.40079 | + | 0.467725i | −0.180415 | + | 0.0191749i | ||||
\(596\) | 18.6091 | − | 21.4069i | 0.762258 | − | 0.876862i | ||||
\(597\) | 12.8423 | + | 31.0362i | 0.525602 | + | 1.27023i | ||||
\(598\) | −7.56068 | − | 2.82686i | −0.309179 | − | 0.115599i | ||||
\(599\) | −5.55768 | −0.227081 | −0.113540 | − | 0.993533i | \(-0.536219\pi\) | ||||
−0.113540 | + | 0.993533i | \(0.536219\pi\) | |||||||
\(600\) | 11.1630 | + | 21.8034i | 0.455729 | + | 0.890118i | ||||
\(601\) | 5.78248 | 0.235872 | 0.117936 | − | 0.993021i | \(-0.462372\pi\) | ||||
0.117936 | + | 0.993021i | \(0.462372\pi\) | |||||||
\(602\) | 8.24628 | + | 3.08320i | 0.336093 | + | 0.125662i | ||||
\(603\) | 7.51458 | + | 3.83578i | 0.306018 | + | 0.156205i | ||||
\(604\) | −5.25236 | + | 6.04204i | −0.213715 | + | 0.245847i | ||||
\(605\) | −0.691194 | − | 0.397988i | −0.0281010 | − | 0.0161805i | ||||
\(606\) | −1.11231 | − | 32.1930i | −0.0451846 | − | 1.30775i | ||||
\(607\) | 11.0484 | 0.448440 | 0.224220 | − | 0.974539i | \(-0.428017\pi\) | ||||
0.224220 | + | 0.974539i | \(0.428017\pi\) | |||||||
\(608\) | −0.101449 | − | 1.05382i | −0.00411430 | − | 0.0427379i | ||||
\(609\) | −13.4182 | + | 1.05111i | −0.543734 | + | 0.0425931i | ||||
\(610\) | −2.23423 | − | 35.8464i | −0.0904613 | − | 1.45138i | ||||
\(611\) | 6.71575 | − | 4.87928i | 0.271690 | − | 0.197394i | ||||
\(612\) | −1.94235 | − | 4.81773i | −0.0785150 | − | 0.194745i | ||||
\(613\) | 5.84025 | − | 8.03842i | 0.235886 | − | 0.324669i | −0.674620 | − | 0.738165i | \(-0.735693\pi\) |
0.910506 | + | 0.413496i | \(0.135693\pi\) | |||||||
\(614\) | −9.93455 | − | 3.71442i | −0.400926 | − | 0.149902i | ||||
\(615\) | −31.1911 | − | 14.8468i | −1.25775 | − | 0.598680i | ||||
\(616\) | 19.6673 | + | 9.38112i | 0.792418 | + | 0.377976i | ||||
\(617\) | 11.7447 | + | 36.1464i | 0.472823 | + | 1.45520i | 0.848871 | + | 0.528600i | \(0.177283\pi\) |
−0.376048 | + | 0.926600i | \(0.622717\pi\) | |||||||
\(618\) | −6.01923 | + | 20.9624i | −0.242129 | + | 0.843230i | ||||
\(619\) | 2.22515 | − | 0.722994i | 0.0894362 | − | 0.0290596i | −0.263957 | − | 0.964534i | \(-0.585028\pi\) |
0.353393 | + | 0.935475i | \(0.385028\pi\) | |||||||
\(620\) | −16.6924 | + | 23.8979i | −0.670381 | + | 0.959764i | ||||
\(621\) | 33.9940 | − | 8.12189i | 1.36413 | − | 0.325920i | ||||
\(622\) | −24.3550 | + | 6.75413i | −0.976547 | + | 0.270816i | ||||
\(623\) | −0.183606 | − | 0.252712i | −0.00735602 | − | 0.0101247i | ||||
\(624\) | 5.85173 | + | 0.565711i | 0.234257 | + | 0.0226466i | ||||
\(625\) | 16.8147 | + | 18.5005i | 0.672586 | + | 0.740019i | ||||
\(626\) | 3.56587 | − | 2.36017i | 0.142521 | − | 0.0943315i | ||||
\(627\) | −0.255402 | + | 1.06212i | −0.0101998 | + | 0.0424170i | ||||
\(628\) | 16.2115 | − | 18.6489i | 0.646911 | − | 0.744174i | ||||
\(629\) | −7.12313 | − | 2.31445i | −0.284018 | − | 0.0922830i | ||||
\(630\) | 4.70316 | + | 21.1714i | 0.187378 | + | 0.843489i | ||||
\(631\) | −1.58098 | + | 0.513690i | −0.0629377 | + | 0.0204497i | −0.340317 | − | 0.940311i | \(-0.610534\pi\) |
0.277379 | + | 0.960761i | \(0.410534\pi\) | |||||||
\(632\) | −2.92073 | − | 15.7599i | −0.116180 | − | 0.626896i | ||||
\(633\) | 22.7121 | + | 13.9294i | 0.902723 | + | 0.553643i | ||||
\(634\) | −1.65079 | + | 37.8056i | −0.0655611 | + | 1.50145i | ||||
\(635\) | 16.4347 | + | 36.7976i | 0.652193 | + | 1.46027i | ||||
\(636\) | −26.0524 | + | 35.1803i | −1.03304 | + | 1.39499i | ||||
\(637\) | −0.884780 | + | 1.21779i | −0.0350562 | + | 0.0482508i | ||||
\(638\) | −16.1846 | − | 0.706702i | −0.640754 | − | 0.0279786i | ||||
\(639\) | 17.8255 | + | 35.0477i | 0.705165 | + | 1.38647i | ||||
\(640\) | −10.5171 | − | 23.0085i | −0.415727 | − | 0.909490i | ||||
\(641\) | 20.0303 | − | 27.5693i | 0.791149 | − | 1.08892i | −0.202815 | − | 0.979217i | \(-0.565009\pi\) |
0.993964 | − | 0.109706i | \(-0.0349909\pi\) | |||||||
\(642\) | 0.699478 | + | 20.2446i | 0.0276062 | + | 0.798991i | ||||
\(643\) | 2.81696 | 0.111090 | 0.0555450 | − | 0.998456i | \(-0.482310\pi\) | ||||
0.0555450 | + | 0.998456i | \(0.482310\pi\) | |||||||
\(644\) | −2.68059 | + | 30.6363i | −0.105630 | + | 1.20724i | ||||
\(645\) | 1.93027 | + | 10.3685i | 0.0760041 | + | 0.408258i | ||||
\(646\) | 0.0612346 | + | 0.220808i | 0.00240924 | + | 0.00868759i | ||||
\(647\) | −3.15738 | − | 1.02590i | −0.124130 | − | 0.0403321i | 0.246293 | − | 0.969195i | \(-0.420787\pi\) |
−0.370423 | + | 0.928863i | \(0.620787\pi\) | |||||||
\(648\) | −22.3889 | + | 12.1135i | −0.879518 | + | 0.475865i | ||||
\(649\) | −13.5751 | −0.532869 | ||||||||
\(650\) | 5.91564 | − | 1.00409i | 0.232030 | − | 0.0393835i | ||||
\(651\) | −19.6318 | + | 16.7547i | −0.769430 | + | 0.656670i | ||||
\(652\) | −5.26250 | − | 22.7952i | −0.206095 | − | 0.892731i | ||||
\(653\) | 3.06640 | − | 9.43740i | 0.119997 | − | 0.369314i | −0.872959 | − | 0.487793i | \(-0.837802\pi\) |
0.992957 | + | 0.118479i | \(0.0378019\pi\) | |||||||
\(654\) | −13.0591 | − | 8.81547i | −0.510650 | − | 0.344712i | ||||
\(655\) | −22.0253 | + | 2.34090i | −0.860599 | + | 0.0914664i | ||||
\(656\) | 31.5009 | + | 16.7500i | 1.22990 | + | 0.653977i | ||||
\(657\) | 14.6139 | + | 2.32555i | 0.570142 | + | 0.0907282i | ||||
\(658\) | −24.7514 | − | 19.6883i | −0.964909 | − | 0.767530i | ||||
\(659\) | 21.9911 | + | 15.9775i | 0.856651 | + | 0.622393i | 0.926972 | − | 0.375131i | \(-0.122402\pi\) |
−0.0703207 | + | 0.997524i | \(0.522402\pi\) | |||||||
\(660\) | 2.52250 | + | 25.9815i | 0.0981881 | + | 1.01133i | ||||
\(661\) | −22.8499 | + | 16.6015i | −0.888760 | + | 0.645722i | −0.935554 | − | 0.353183i | \(-0.885099\pi\) |
0.0467945 | + | 0.998905i | \(0.485099\pi\) | |||||||
\(662\) | −7.93831 | − | 0.346627i | −0.308531 | − | 0.0134720i | ||||
\(663\) | −1.26856 | + | 0.0993724i | −0.0492669 | + | 0.00385930i | ||||
\(664\) | 23.8818 | + | 22.6636i | 0.926795 | + | 0.879518i | ||||
\(665\) | −0.101109 | − | 0.951322i | −0.00392082 | − | 0.0368907i | ||||
\(666\) | −7.34385 | + | 35.9611i | −0.284568 | + | 1.39346i | ||||
\(667\) | −7.06531 | − | 21.7448i | −0.273570 | − | 0.841962i | ||||
\(668\) | 21.3285 | + | 9.05363i | 0.825225 | + | 0.350295i | ||||
\(669\) | 1.14426 | − | 1.86574i | 0.0442398 | − | 0.0721337i | ||||
\(670\) | −8.61264 | − | 2.21672i | −0.332735 | − | 0.0856392i | ||||
\(671\) | 11.8276 | − | 36.4016i | 0.456599 | − | 1.40527i | ||||
\(672\) | −3.88100 | − | 22.0600i | −0.149713 | − | 0.850982i | ||||
\(673\) | 24.6608 | + | 33.9427i | 0.950604 | + | 1.30839i | 0.951259 | + | 0.308394i | \(0.0997916\pi\) |
−0.000654775 | 1.00000i | \(0.500208\pi\) | ||||||||
\(674\) | 34.3496 | − | 22.7353i | 1.32310 | − | 0.875731i | ||||
\(675\) | −18.8237 | + | 17.9072i | −0.724524 | + | 0.689250i | ||||
\(676\) | −9.59650 | + | 22.6074i | −0.369096 | + | 0.869516i | ||||
\(677\) | −25.9856 | + | 18.8796i | −0.998706 | + | 0.725602i | −0.961810 | − | 0.273717i | \(-0.911747\pi\) |
−0.0368956 | + | 0.999319i | \(0.511747\pi\) | |||||||
\(678\) | −7.93982 | − | 5.35974i | −0.304927 | − | 0.205840i | ||||
\(679\) | 33.0822 | + | 10.7490i | 1.26958 | + | 0.412510i | ||||
\(680\) | 3.10657 | + | 4.50895i | 0.119132 | + | 0.172910i | ||||
\(681\) | −9.66087 | − | 5.92504i | −0.370205 | − | 0.227048i | ||||
\(682\) | −25.9047 | + | 17.1458i | −0.991942 | + | 0.656546i | ||||
\(683\) | 24.8738 | − | 8.08199i | 0.951769 | − | 0.309249i | 0.208335 | − | 0.978058i | \(-0.433196\pi\) |
0.743434 | + | 0.668809i | \(0.233196\pi\) | |||||||
\(684\) | 1.04145 | − | 0.419881i | 0.0398210 | − | 0.0160545i | ||||
\(685\) | −24.2037 | + | 21.8442i | −0.924775 | + | 0.834624i | ||||
\(686\) | 26.5695 | + | 9.93406i | 1.01443 | + | 0.379284i | ||||
\(687\) | −1.59245 | − | 20.3288i | −0.0607556 | − | 0.775591i | ||||
\(688\) | −1.51576 | − | 10.7865i | −0.0577880 | − | 0.411232i | ||||
\(689\) | 6.30308 | + | 8.67544i | 0.240128 | + | 0.330508i | ||||
\(690\) | −33.0999 | + | 16.1765i | −1.26009 | + | 0.615830i | ||||
\(691\) | 0.161287 | − | 0.221992i | 0.00613565 | − | 0.00844499i | −0.805938 | − | 0.592000i | \(-0.798339\pi\) |
0.812074 | + | 0.583555i | \(0.198339\pi\) | |||||||
\(692\) | 8.45763 | + | 0.740017i | 0.321511 | + | 0.0281312i | ||||
\(693\) | −3.63215 | + | 22.8247i | −0.137974 | + | 0.867039i | ||||
\(694\) | 36.9752 | + | 29.4117i | 1.40356 | + | 1.11645i | ||||
\(695\) | −37.8482 | + | 16.9040i | −1.43566 | + | 0.641204i | ||||
\(696\) | 9.06434 | + | 13.9694i | 0.343583 | + | 0.529509i | ||||
\(697\) | −7.34403 | − | 2.38622i | −0.278175 | − | 0.0903845i | ||||
\(698\) | −25.5128 | − | 9.53897i | −0.965674 | − | 0.361055i | ||||
\(699\) | −5.15938 | − | 6.04532i | −0.195146 | − | 0.228655i | ||||
\(700\) | −9.70940 | − | 20.6963i | −0.366981 | − | 0.782246i | ||||
\(701\) | 22.8666i | 0.863658i | 0.901956 | + | 0.431829i | \(0.142132\pi\) | ||||
−0.901956 | + | 0.431829i | \(0.857868\pi\) | |||||||
\(702\) | 1.18309 | + | 6.12237i | 0.0446528 | + | 0.231074i | ||||
\(703\) | 0.500316 | − | 1.53981i | 0.0188698 | − | 0.0580752i | ||||
\(704\) | −1.41029 | − | 26.9228i | −0.0531524 | − | 1.01469i | ||||
\(705\) | 4.91529 | − | 37.5675i | 0.185120 | − | 1.41488i | ||||
\(706\) | −3.68225 | + | 4.62918i | −0.138583 | + | 0.174222i | ||||
\(707\) | 30.0631i | 1.13064i | ||||||||
\(708\) | 8.09906 | + | 11.3634i | 0.304381 | + | 0.427064i | ||||
\(709\) | −19.2091 | − | 13.9562i | −0.721414 | − | 0.524138i | 0.165422 | − | 0.986223i | \(-0.447101\pi\) |
−0.886836 | + | 0.462085i | \(0.847101\pi\) | |||||||
\(710\) | −26.4008 | − | 31.9511i | −0.990805 | − | 1.19910i | ||||
\(711\) | 15.1532 | − | 7.70704i | 0.568291 | − | 0.289037i | ||||
\(712\) | −0.166387 | + | 0.348827i | −0.00623563 | + | 0.0130729i | ||||
\(713\) | −35.4701 | − | 25.7705i | −1.32836 | − | 0.965113i | ||||
\(714\) | 1.65642 | + | 4.55621i | 0.0619901 | + | 0.170512i | ||||
\(715\) | 6.25614 | + | 1.32217i | 0.233966 | + | 0.0494463i | ||||
\(716\) | 3.97172 | − | 2.38640i | 0.148430 | − | 0.0891841i | ||||
\(717\) | 0.628838 | − | 1.02533i | 0.0234844 | − | 0.0382917i | ||||
\(718\) | 18.6807 | + | 28.2237i | 0.697157 | + | 1.05330i | ||||
\(719\) | 11.4382 | + | 35.2032i | 0.426574 | + | 1.31286i | 0.901479 | + | 0.432823i | \(0.142482\pi\) |
−0.474905 | + | 0.880037i | \(0.657518\pi\) | |||||||
\(720\) | 20.2436 | − | 17.6124i | 0.754435 | − | 0.656375i | ||||
\(721\) | 6.28984 | − | 19.3581i | 0.234246 | − | 0.720935i | ||||
\(722\) | 25.8451 | − | 7.16737i | 0.961855 | − | 0.266742i | ||||
\(723\) | −12.4339 | − | 2.98992i | −0.462423 | − | 0.111196i | ||||
\(724\) | −16.8377 | + | 39.6662i | −0.625768 | + | 1.47418i | ||||
\(725\) | 12.6569 | + | 11.3430i | 0.470065 | + | 0.421269i | ||||
\(726\) | −0.241137 | + | 0.839776i | −0.00894945 | + | 0.0311670i | ||||
\(727\) | 20.8586 | − | 15.1546i | 0.773601 | − | 0.562054i | −0.129451 | − | 0.991586i | \(-0.541321\pi\) |
0.903052 | + | 0.429532i | \(0.141321\pi\) | |||||||
\(728\) | −5.43983 | − | 0.716236i | −0.201613 | − | 0.0265455i | ||||
\(729\) | −19.0500 | − | 19.1336i | −0.705557 | − | 0.708653i | ||||
\(730\) | −15.5680 | + | 0.970320i | −0.576198 | + | 0.0359132i | ||||
\(731\) | 0.728528 | + | 2.24218i | 0.0269456 | + | 0.0829300i | ||||
\(732\) | −37.5274 | + | 11.8170i | −1.38705 | + | 0.436768i | ||||
\(733\) | −21.0828 | + | 6.85020i | −0.778710 | + | 0.253018i | −0.671289 | − | 0.741196i | \(-0.734259\pi\) |
−0.107420 | + | 0.994214i | \(0.534259\pi\) | |||||||
\(734\) | 0.0347554 | − | 0.795954i | 0.00128285 | − | 0.0293792i | ||||
\(735\) | 1.25742 | + | 6.75429i | 0.0463808 | + | 0.249136i | ||||
\(736\) | 34.8941 | − | 15.1715i | 1.28621 | − | 0.559229i | ||||
\(737\) | −7.66740 | − | 5.57069i | −0.282432 | − | 0.205199i | ||||
\(738\) | −7.57159 | + | 37.0763i | −0.278714 | + | 1.36480i | ||||
\(739\) | 13.7389 | + | 18.9100i | 0.505394 | + | 0.695615i | 0.983134 | − | 0.182886i | \(-0.0585441\pi\) |
−0.477740 | + | 0.878501i | \(0.658544\pi\) | |||||||
\(740\) | −0.719950 | − | 38.6819i | −0.0264659 | − | 1.42198i | ||||
\(741\) | −0.0214814 | − | 0.274227i | −0.000789140 | − | 0.0100740i | ||||
\(742\) | 25.4334 | − | 31.9740i | 0.933691 | − | 1.17380i | ||||
\(743\) | − | 7.47309i | − | 0.274161i | −0.990560 | − | 0.137081i | \(-0.956228\pi\) | ||
0.990560 | − | 0.137081i | \(-0.0437719\pi\) | |||||||
\(744\) | 29.8074 | + | 11.4549i | 1.09279 | + | 0.419957i | ||||
\(745\) | −31.0273 | − | 6.55730i | −1.13675 | − | 0.240241i | ||||
\(746\) | −0.806917 | − | 2.90969i | −0.0295433 | − | 0.106531i | ||||
\(747\) | −15.8765 | + | 31.1033i | −0.580891 | + | 1.13801i | ||||
\(748\) | 1.31258 | + | 5.68561i | 0.0479925 | + | 0.207886i | ||||
\(749\) | − | 18.9052i | − | 0.690781i | ||||||
\(750\) | 15.2431 | − | 22.7519i | 0.556599 | − | 0.830781i | ||||
\(751\) | 0.966789i | 0.0352786i | 0.999844 | + | 0.0176393i | \(0.00561506\pi\) | ||||
−0.999844 | + | 0.0176393i | \(0.994385\pi\) | |||||||
\(752\) | −6.79554 | + | 38.5357i | −0.247808 | + | 1.40525i | ||||
\(753\) | −5.45449 | + | 2.25699i | −0.198773 | + | 0.0822494i | ||||
\(754\) | 3.93083 | − | 1.09010i | 0.143152 | − | 0.0396990i | ||||
\(755\) | 8.75737 | + | 1.85078i | 0.318713 | + | 0.0673567i | ||||
\(756\) | 21.2731 | − | 10.5771i | 0.773693 | − | 0.384685i | ||||
\(757\) | − | 44.9790i | − | 1.63479i | −0.576078 | − | 0.817395i | \(-0.695418\pi\) | ||
0.576078 | − | 0.817395i | \(-0.304582\pi\) | |||||||
\(758\) | 15.6032 | + | 12.4114i | 0.566732 | + | 0.450803i | ||||
\(759\) | −39.1411 | + | 3.06610i | −1.42073 | + | 0.111292i | ||||
\(760\) | −0.974704 | + | 0.671551i | −0.0353562 | + | 0.0243597i | ||||
\(761\) | −6.51206 | − | 8.96308i | −0.236062 | − | 0.324911i | 0.674507 | − | 0.738268i | \(-0.264356\pi\) |
−0.910569 | + | 0.413357i | \(0.864356\pi\) | |||||||
\(762\) | 34.7987 | − | 27.1670i | 1.26062 | − | 0.984158i | ||||
\(763\) | 11.8964 | + | 8.64326i | 0.430680 | + | 0.312907i | ||||
\(764\) | −1.32028 | − | 5.71897i | −0.0477660 | − | 0.206905i | ||||
\(765\) | −3.65292 | + | 4.51500i | −0.132072 | + | 0.163240i | ||||
\(766\) | −20.3189 | − | 0.887227i | −0.734152 | − | 0.0320568i | ||||
\(767\) | 3.25093 | − | 1.05629i | 0.117384 | − | 0.0381404i | ||||
\(768\) | −21.6951 | + | 17.2430i | −0.782856 | + | 0.622203i | ||||
\(769\) | 0.391531 | + | 1.20501i | 0.0141190 | + | 0.0434537i | 0.957868 | − | 0.287209i | \(-0.0927276\pi\) |
−0.943749 | + | 0.330663i | \(0.892728\pi\) | |||||||
\(770\) | −1.51549 | − | 24.3149i | −0.0546146 | − | 0.876248i | ||||
\(771\) | 22.8774 | − | 9.46636i | 0.823910 | − | 0.340923i | ||||
\(772\) | 28.1408 | − | 32.3717i | 1.01281 | − | 1.16508i | ||||
\(773\) | −4.22661 | + | 3.07081i | −0.152021 | + | 0.110449i | −0.661195 | − | 0.750214i | \(-0.729951\pi\) |
0.509175 | + | 0.860663i | \(0.329951\pi\) | |||||||
\(774\) | 10.5165 | − | 4.78334i | 0.378009 | − | 0.171933i | ||||
\(775\) | 32.4205 | + | 3.33118i | 1.16458 | + | 0.119659i | ||||
\(776\) | −7.84238 | − | 42.3166i | −0.281525 | − | 1.51908i | ||||
\(777\) | 8.00870 | − | 33.3051i | 0.287311 | − | 1.19481i | ||||
\(778\) | −5.41440 | − | 19.5240i | −0.194116 | − | 0.699969i | ||||
\(779\) | 0.515831 | − | 1.58757i | 0.0184816 | − | 0.0568804i | ||||
\(780\) | −2.62572 | − | 6.02570i | −0.0940160 | − | 0.215755i | ||||
\(781\) | −13.6491 | − | 42.0076i | −0.488403 | − | 1.50315i | ||||
\(782\) | −6.86742 | + | 4.54541i | −0.245578 | + | 0.162543i | ||||
\(783\) | −11.4857 | + | 13.4182i | −0.410465 | + | 0.479528i | ||||
\(784\) | −0.987407 | − | 7.02662i | −0.0352646 | − | 0.250951i | ||||
\(785\) | −27.0299 | − | 5.71247i | −0.964737 | − | 0.203887i | ||||
\(786\) | 8.29015 | + | 22.8032i | 0.295700 | + | 0.813363i | ||||
\(787\) | −4.24469 | − | 3.08395i | −0.151307 | − | 0.109931i | 0.509556 | − | 0.860437i | \(-0.329810\pi\) |
−0.660863 | + | 0.750506i | \(0.729810\pi\) | |||||||
\(788\) | 15.4111 | − | 9.25974i | 0.548997 | − | 0.329865i | ||||
\(789\) | −4.44610 | + | 18.4896i | −0.158285 | + | 0.658248i | ||||
\(790\) | −13.8144 | + | 11.4147i | −0.491494 | + | 0.406116i | ||||
\(791\) | 7.23294 | + | 5.25504i | 0.257174 | + | 0.186848i | ||||
\(792\) | 26.9620 | − | 9.52524i | 0.958054 | − | 0.338465i | ||||
\(793\) | 9.63766i | 0.342244i | ||||||||
\(794\) | −4.84156 | − | 3.85118i | −0.171820 | − | 0.136673i | ||||
\(795\) | 48.5300 | + | 6.34960i | 1.72118 | + | 0.225197i | ||||
\(796\) | −25.4451 | + | 29.2707i | −0.901876 | + | 1.03747i | ||||
\(797\) | −7.22886 | + | 22.2481i | −0.256059 | + | 0.788070i | 0.737560 | + | 0.675282i | \(0.235978\pi\) |
−0.993619 | + | 0.112788i | \(0.964022\pi\) | |||||||
\(798\) | −0.984921 | + | 0.358070i | −0.0348658 | + | 0.0126756i | ||||
\(799\) | − | 8.46933i | − | 0.299623i | ||||||
\(800\) | −16.7716 | + | 22.7753i | −0.592965 | + | 0.805228i | ||||
\(801\) | −0.404828 | − | 0.0644213i | −0.0143039 | − | 0.00227622i | ||||
\(802\) | 5.51287 | − | 14.7447i | 0.194666 | − | 0.520652i | ||||
\(803\) | −15.8091 | − | 5.13669i | −0.557891 | − | 0.181270i | ||||
\(804\) | −0.0886506 | + | 9.74175i | −0.00312647 | + | 0.343565i | ||||
\(805\) | 31.3944 | − | 14.0215i | 1.10651 | − | 0.494195i | ||||
\(806\) | 4.86946 | − | 6.12169i | 0.171519 | − | 0.215627i | ||||
\(807\) | −2.69053 | + | 2.29623i | −0.0947110 | + | 0.0808311i | ||||
\(808\) | 32.6883 | − | 17.7478i | 1.14997 | − | 0.624364i | ||||
\(809\) | 9.80814 | − | 13.4998i | 0.344836 | − | 0.474626i | −0.601010 | − | 0.799241i | \(-0.705235\pi\) |
0.945846 | + | 0.324615i | \(0.105235\pi\) | |||||||
\(810\) | 23.9988 | + | 15.2990i | 0.843231 | + | 0.537552i | ||||
\(811\) | −14.8052 | − | 20.3776i | −0.519881 | − | 0.715554i | 0.465666 | − | 0.884961i | \(-0.345815\pi\) |
−0.985546 | + | 0.169406i | \(0.945815\pi\) | |||||||
\(812\) | −8.00435 | − | 13.3217i | −0.280898 | − | 0.467501i | ||||
\(813\) | −5.23299 | + | 0.409924i | −0.183529 | + | 0.0143767i | ||||
\(814\) | 14.4391 | − | 38.6186i | 0.506090 | − | 1.35358i | ||||
\(815\) | −19.4174 | + | 17.5245i | −0.680163 | + | 0.613858i | ||||
\(816\) | 3.97620 | − | 4.49083i | 0.139195 | − | 0.157210i | ||||
\(817\) | −0.484694 | + | 0.157487i | −0.0169573 | + | 0.00550976i | ||||
\(818\) | 0.457678 | + | 0.691482i | 0.0160023 | + | 0.0241771i | ||||
\(819\) | −0.906192 | − | 5.74862i | −0.0316649 | − | 0.200873i | ||||
\(820\) | −0.742277 | − | 39.8815i | −0.0259214 | − | 1.39272i | ||||
\(821\) | 13.6576 | + | 4.43764i | 0.476655 | + | 0.154875i | 0.537485 | − | 0.843274i | \(-0.319375\pi\) |
−0.0608295 | + | 0.998148i | \(0.519375\pi\) | |||||||
\(822\) | 29.6020 | + | 19.9827i | 1.03249 | + | 0.696976i | ||||
\(823\) | −9.76177 | + | 7.09234i | −0.340274 | + | 0.247223i | −0.744777 | − | 0.667313i | \(-0.767444\pi\) |
0.404504 | + | 0.914536i | \(0.367444\pi\) | |||||||
\(824\) | −24.7617 | + | 4.58900i | −0.862616 | + | 0.159865i | ||||
\(825\) | 24.0194 | − | 16.5777i | 0.836249 | − | 0.577161i | ||||
\(826\) | −7.18798 | − | 10.8600i | −0.250102 | − | 0.377866i | ||||
\(827\) | −9.58173 | − | 13.1881i | −0.333190 | − | 0.458596i | 0.609247 | − | 0.792980i | \(-0.291472\pi\) |
−0.942437 | + | 0.334384i | \(0.891472\pi\) | |||||||
\(828\) | 25.9186 | + | 30.9349i | 0.900733 | + | 1.07506i | ||||
\(829\) | 7.98660 | − | 24.5802i | 0.277386 | − | 0.853706i | −0.711192 | − | 0.702998i | \(-0.751844\pi\) |
0.988578 | − | 0.150709i | \(-0.0481556\pi\) | |||||||
\(830\) | 9.17511 | − | 35.6482i | 0.318473 | − | 1.23737i | ||||
\(831\) | −32.4082 | − | 19.8760i | −1.12423 | − | 0.689492i | ||||
\(832\) | 2.43262 | + | 6.33767i | 0.0843361 | + | 0.219719i | ||||
\(833\) | 0.474582 | + | 1.46061i | 0.0164433 | + | 0.0506072i | ||||
\(834\) | 27.9427 | + | 35.7922i | 0.967576 | + | 1.23938i | ||||
\(835\) | −2.73787 | − | 25.7604i | −0.0947478 | − | 0.891474i | ||||
\(836\) | −1.22906 | + | 0.283741i | −0.0425080 | + | 0.00981338i | ||||
\(837\) | −2.69435 | + | 33.7624i | −0.0931302 | + | 1.16700i | ||||
\(838\) | −1.82810 | + | 41.8665i | −0.0631508 | + | 1.44625i | ||||
\(839\) | −33.8929 | + | 24.6246i | −1.17011 | + | 0.850136i | −0.991022 | − | 0.133697i | \(-0.957315\pi\) |
−0.179090 | + | 0.983833i | \(0.557315\pi\) | |||||||
\(840\) | −19.4493 | + | 15.7751i | −0.671065 | + | 0.544293i | ||||
\(841\) | −14.1138 | − | 10.2542i | −0.486681 | − | 0.353595i | ||||
\(842\) | −31.5493 | + | 39.6626i | −1.08726 | + | 1.36686i | ||||
\(843\) | −8.51687 | + | 7.26872i | −0.293337 | + | 0.250348i | ||||
\(844\) | −2.68160 | + | 30.6479i | −0.0923046 | + | 1.05495i | ||||
\(845\) | 27.3050 | − | 2.90203i | 0.939321 | − | 0.0998330i | ||||
\(846\) | −41.2406 | + | 4.66811i | −1.41788 | + | 0.160493i | ||||
\(847\) | 0.251978 | − | 0.775509i | 0.00865807 | − | 0.0266468i | ||||
\(848\) | −49.7806 | − | 8.77852i | −1.70947 | − | 0.301456i | ||||
\(849\) | −10.7846 | − | 12.6365i | −0.370126 | − | 0.433682i | ||||
\(850\) | 2.71880 | − | 5.48497i | 0.0932540 | − | 0.188133i | ||||
\(851\) | 58.1893 | 1.99470 | ||||||||
\(852\) | −27.0205 | + | 36.4876i | −0.925707 | + | 1.25004i | ||||
\(853\) | 44.2133 | + | 14.3658i | 1.51383 | + | 0.491875i | 0.944017 | − | 0.329897i | \(-0.107014\pi\) |
0.569817 | + | 0.821771i | \(0.307014\pi\) | |||||||
\(854\) | 35.3836 | − | 9.81259i | 1.21080 | − | 0.335780i | ||||
\(855\) | −0.976012 | − | 0.789656i | −0.0333789 | − | 0.0270057i | ||||
\(856\) | −20.5560 | + | 11.1607i | −0.702591 | + | 0.381464i | ||||
\(857\) | 26.0908 | 0.891246 | 0.445623 | − | 0.895221i | \(-0.352982\pi\) | ||||
0.445623 | + | 0.895221i | \(0.352982\pi\) | |||||||
\(858\) | −0.241875 | − | 7.00046i | −0.00825747 | − | 0.238992i | ||||
\(859\) | 22.3920 | − | 30.8199i | 0.764004 | − | 1.05156i | −0.232866 | − | 0.972509i | \(-0.574810\pi\) |
0.996870 | − | 0.0790529i | \(-0.0251896\pi\) | |||||||
\(860\) | −9.71745 | + | 7.34026i | −0.331362 | + | 0.250301i | ||||
\(861\) | 8.25706 | − | 34.3379i | 0.281400 | − | 1.17023i | ||||
\(862\) | 0.153693 | − | 3.51982i | 0.00523481 | − | 0.119885i | ||||
\(863\) | −18.0669 | + | 24.8670i | −0.615006 | + | 0.846483i | −0.996977 | − | 0.0776909i | \(-0.975245\pi\) |
0.381971 | + | 0.924174i | \(0.375245\pi\) | |||||||
\(864\) | −24.0592 | − | 16.8865i | −0.818512 | − | 0.574490i | ||||
\(865\) | −3.87086 | − | 8.66691i | −0.131613 | − | 0.294684i | ||||
\(866\) | −35.3757 | − | 1.54468i | −1.20211 | − | 0.0524904i | ||||
\(867\) | 14.7153 | − | 23.9936i | 0.499759 | − | 0.814865i | ||||
\(868\) | −27.4330 | − | 11.6449i | −0.931135 | − | 0.395252i | ||||
\(869\) | −18.1624 | + | 5.90134i | −0.616119 | + | 0.200189i | ||||
\(870\) | 8.72757 | − | 16.4457i | 0.295892 | − | 0.557563i | ||||
\(871\) | 2.26963 | + | 0.737447i | 0.0769034 | + | 0.0249874i | ||||
\(872\) | 2.37495 | − | 18.0378i | 0.0804260 | − | 0.610837i | ||||
\(873\) | 40.6877 | − | 20.6940i | 1.37707 | − | 0.700386i | ||||
\(874\) | −0.982585 | − | 1.48454i | −0.0332364 | − | 0.0502152i | ||||
\(875\) | −14.9508 | + | 20.7300i | −0.505430 | + | 0.700802i | ||||
\(876\) | 5.13208 | + | 16.2981i | 0.173397 | + | 0.550661i | ||||
\(877\) | 16.2212 | + | 22.3266i | 0.547751 | + | 0.753915i | 0.989705 | − | 0.143123i | \(-0.0457145\pi\) |
−0.441954 | + | 0.897038i | \(0.645714\pi\) | |||||||
\(878\) | 9.23621 | + | 33.3053i | 0.311707 | + | 1.12400i | ||||
\(879\) | 20.1058 | − | 8.31948i | 0.678150 | − | 0.280609i | ||||
\(880\) | −25.5434 | + | 16.0021i | −0.861069 | + | 0.539432i | ||||
\(881\) | 21.0484 | − | 6.83904i | 0.709139 | − | 0.230413i | 0.0678309 | − | 0.997697i | \(-0.478392\pi\) |
0.641308 | + | 0.767284i | \(0.278392\pi\) | |||||||
\(882\) | 6.85073 | − | 3.11599i | 0.230676 | − | 0.104921i | ||||
\(883\) | −12.1612 | − | 37.4282i | −0.409256 | − | 1.25956i | −0.917289 | − | 0.398223i | \(-0.869627\pi\) |
0.508033 | − | 0.861338i | \(-0.330373\pi\) | |||||||
\(884\) | −0.756734 | − | 1.25944i | −0.0254517 | − | 0.0423596i | ||||
\(885\) | 6.70529 | − | 14.0869i | 0.225396 | − | 0.473527i | ||||
\(886\) | 1.71701 | − | 4.59229i | 0.0576841 | − | 0.154281i | ||||
\(887\) | −5.23139 | + | 7.20039i | −0.175653 | + | 0.241765i | −0.887761 | − | 0.460304i | \(-0.847740\pi\) |
0.712108 | + | 0.702069i | \(0.247740\pi\) | |||||||
\(888\) | −40.9413 | + | 10.9536i | −1.37390 | + | 0.367580i | ||||
\(889\) | −33.3331 | + | 24.2179i | −1.11796 | + | 0.812243i | ||||
\(890\) | 0.431259 | − | 0.0268794i | 0.0144558 | − | 0.000901000i | ||||
\(891\) | 17.7915 | + | 24.5633i | 0.596039 | + | 0.822900i | ||||
\(892\) | 2.51765 | + | 0.220287i | 0.0842973 | + | 0.00737577i | ||||
\(893\) | 1.83082 | 0.0612662 | ||||||||
\(894\) | 1.19958 | + | 34.7188i | 0.0401199 | + | 1.16117i | ||||
\(895\) | −4.48939 | − | 2.58498i | −0.150064 | − | 0.0864065i | ||||
\(896\) | 20.7913 | − | 15.3838i | 0.694588 | − | 0.513937i | ||||
\(897\) | 9.13483 | − | 3.77986i | 0.305003 | − | 0.126206i | ||||
\(898\) | −3.84542 | + | 10.2849i | −0.128323 | + | 0.343212i | ||||
\(899\) | 22.1566 | 0.738965 | ||||||||
\(900\) | −28.2071 | − | 10.2157i | −0.940236 | − | 0.340524i | ||||
\(901\) | 10.9407 | 0.364488 | ||||||||
\(902\) | 14.8869 | − | 39.8162i | 0.495678 | − | 1.32573i | ||||
\(903\) | −9.96317 | + | 4.12262i | −0.331554 | + | 0.137192i | ||||
\(904\) | 1.44395 | − | 10.9668i | 0.0480251 | − | 0.364752i | ||||
\(905\) | 47.9085 | − | 5.09181i | 1.59253 | − | 0.169258i | ||||
\(906\) | −0.338578 | − | 9.79927i | −0.0112485 | − | 0.325559i | ||||
\(907\) | −19.6330 | −0.651903 | −0.325952 | − | 0.945386i | \(-0.605685\pi\) | ||||
−0.325952 | + | 0.945386i | \(0.605685\pi\) | |||||||
\(908\) | 1.14065 | − | 13.0365i | 0.0378540 | − | 0.432631i | ||||
\(909\) | 27.8763 | + | 27.9170i | 0.924597 | + | 0.925948i | ||||
\(910\) | 2.25489 | + | 5.70494i | 0.0747489 | + | 0.189117i | ||||
\(911\) | 24.7089 | − | 17.9521i | 0.818644 | − | 0.594779i | −0.0976801 | − | 0.995218i | \(-0.531142\pi\) |
0.916324 | + | 0.400438i | \(0.131142\pi\) | |||||||
\(912\) | 0.970786 | + | 0.859539i | 0.0321459 | + | 0.0284622i | ||||
\(913\) | 23.0574 | − | 31.7358i | 0.763089 | − | 1.05030i | ||||
\(914\) | −11.1669 | + | 29.8667i | −0.369367 | + | 0.987904i | ||||
\(915\) | 31.9319 | + | 30.2538i | 1.05564 | + | 1.00016i | ||||
\(916\) | 20.1826 | − | 12.1267i | 0.666851 | − | 0.400677i | ||||
\(917\) | −6.99756 | − | 21.5363i | −0.231080 | − | 0.711190i | ||||
\(918\) | 5.76296 | + | 2.69503i | 0.190206 | + | 0.0889491i | ||||
\(919\) | −20.4636 | + | 6.64904i | −0.675033 | + | 0.219331i | −0.626419 | − | 0.779486i | \(-0.715480\pi\) |
−0.0486134 | + | 0.998818i | \(0.515480\pi\) | |||||||
\(920\) | −33.7796 | − | 25.8582i | −1.11368 | − | 0.852521i | ||||
\(921\) | 12.0029 | − | 4.96665i | 0.395511 | − | 0.163657i | ||||
\(922\) | 5.11368 | + | 18.4396i | 0.168410 | + | 0.607277i | ||||
\(923\) | 6.53730 | + | 8.99783i | 0.215178 | + | 0.296167i | ||||
\(924\) | −25.4551 | + | 8.01553i | −0.837412 | + | 0.263692i | ||||
\(925\) | −37.4096 | + | 21.7148i | −1.23002 | + | 0.713979i | ||||
\(926\) | −22.0043 | − | 33.2451i | −0.723106 | − | 1.09250i | ||||
\(927\) | −12.1092 | − | 23.8085i | −0.397717 | − | 0.781974i | ||||
\(928\) | −9.75963 | + | 16.5678i | −0.320376 | + | 0.543864i | ||||
\(929\) | −1.49415 | − | 0.485479i | −0.0490215 | − | 0.0159280i | 0.284404 | − | 0.958705i | \(-0.408204\pi\) |
−0.333425 | + | 0.942777i | \(0.608204\pi\) | |||||||
\(930\) | −4.99687 | − | 35.3504i | −0.163854 | − | 1.15919i | ||||
\(931\) | −0.315742 | + | 0.102591i | −0.0103480 | + | 0.00336228i | ||||
\(932\) | 3.58587 | − | 8.44758i | 0.117459 | − | 0.276710i | ||||
\(933\) | 16.1833 | − | 26.3871i | 0.529817 | − | 0.863874i | ||||
\(934\) | −16.4667 | − | 0.719022i | −0.538808 | − | 0.0235271i | ||||
\(935\) | 4.84311 | − | 4.37098i | 0.158387 | − | 0.142946i | ||||
\(936\) | −5.71563 | + | 4.37902i | −0.186821 | + | 0.143133i | ||||
\(937\) | 6.15188 | − | 8.46734i | 0.200973 | − | 0.276616i | −0.696620 | − | 0.717440i | \(-0.745314\pi\) |
0.897593 | + | 0.440824i | \(0.145314\pi\) | |||||||
\(938\) | 0.396633 | − | 9.08352i | 0.0129505 | − | 0.296587i | ||||
\(939\) | −1.22447 | + | 5.09209i | −0.0399590 | + | 0.166174i | ||||
\(940\) | 41.3490 | − | 14.2911i | 1.34865 | − | 0.466125i | ||||
\(941\) | −2.37616 | + | 3.27050i | −0.0774606 | + | 0.106615i | −0.845989 | − | 0.533200i | \(-0.820989\pi\) |
0.768529 | + | 0.639816i | \(0.220989\pi\) | |||||||
\(942\) | 1.04503 | + | 30.2457i | 0.0340489 | + | 0.985459i | ||||
\(943\) | 59.9938 | 1.95367 | ||||||||
\(944\) | −7.56484 | + | 14.2268i | −0.246215 | + | 0.463044i | ||||
\(945\) | −21.8912 | − | 15.0431i | −0.712121 | − | 0.489354i | ||||
\(946\) | −12.5060 | + | 3.46818i | −0.406606 | + | 0.112760i | ||||
\(947\) | 0.508301 | + | 0.165157i | 0.0165176 | + | 0.00536688i | 0.317264 | − | 0.948337i | \(-0.397236\pi\) |
−0.300747 | + | 0.953704i | \(0.597236\pi\) | |||||||
\(948\) | 15.7758 | + | 11.6826i | 0.512374 | + | 0.379433i | ||||
\(949\) | 4.18561 | 0.135871 | ||||||||
\(950\) | 1.18569 | + | 0.587725i | 0.0384689 | + | 0.0190683i | ||||
\(951\) | −30.0867 | − | 35.2530i | −0.975628 | − | 1.14316i | ||||
\(952\) | −3.85343 | + | 4.06056i | −0.124890 | + | 0.131604i | ||||
\(953\) | 3.60565 | − | 11.0971i | 0.116799 | − | 0.359469i | −0.875519 | − | 0.483183i | \(-0.839481\pi\) |
0.992318 | + | 0.123714i | \(0.0394805\pi\) | |||||||
\(954\) | −6.03030 | − | 53.2748i | −0.195238 | − | 1.72484i | ||||
\(955\) | −4.87153 | + | 4.39663i | −0.157639 | + | 0.142272i | ||||
\(956\) | 1.38359 | + | 0.121060i | 0.0447486 | + | 0.00391537i | ||||
\(957\) | 15.0918 | − | 12.8801i | 0.487849 | − | 0.416355i | ||||
\(958\) | 2.81251 | − | 3.53578i | 0.0908680 | − | 0.114236i | ||||
\(959\) | −26.9665 | − | 19.5923i | −0.870795 | − | 0.632669i | ||||
\(960\) | 28.6345 | + | 11.8348i | 0.924176 | + | 0.381967i | ||||
\(961\) | 9.29344 | − | 6.75208i | 0.299788 | − | 0.217809i | ||||
\(962\) | −0.452885 | + | 10.3718i | −0.0146016 | + | 0.334400i | ||||
\(963\) | −17.5300 | − | 17.5556i | −0.564896 | − | 0.565722i | ||||
\(964\) | −3.32167 | − | 14.3883i | −0.106984 | − | 0.463416i | ||||
\(965\) | −46.9197 | − | 9.91599i | −1.51040 | − | 0.319207i | ||||
\(966\) | −23.1780 | − | 29.6890i | −0.745739 | − | 0.955229i | ||||
\(967\) | −18.1984 | − | 56.0088i | −0.585220 | − | 1.80112i | −0.598386 | − | 0.801208i | \(-0.704191\pi\) |
0.0131662 | − | 0.999913i | \(-0.495809\pi\) | |||||||
\(968\) | −0.991983 | + | 0.183840i | −0.0318836 | + | 0.00590886i | ||||
\(969\) | −0.239232 | − | 0.146722i | −0.00768523 | − | 0.00471337i | ||||
\(970\) | −37.0928 | + | 30.6493i | −1.19098 | + | 0.984090i | ||||
\(971\) | −18.1505 | + | 55.8616i | −0.582478 | + | 1.79268i | 0.0266902 | + | 0.999644i | \(0.491503\pi\) |
−0.609169 | + | 0.793041i | \(0.708497\pi\) | |||||||
\(972\) | 9.94675 | − | 29.5476i | 0.319042 | − | 0.947741i | ||||
\(973\) | −24.9094 | − | 34.2848i | −0.798558 | − | 1.09912i | ||||
\(974\) | 19.0661 | + | 28.8060i | 0.610917 | + | 0.923003i | ||||
\(975\) | −4.46218 | + | 5.83895i | −0.142904 | + | 0.186996i | ||||
\(976\) | −31.5582 | − | 32.6805i | −1.01015 | − | 1.04608i | ||||
\(977\) | 25.9775 | − | 18.8738i | 0.831095 | − | 0.603826i | −0.0887737 | − | 0.996052i | \(-0.528295\pi\) |
0.919869 | + | 0.392226i | \(0.128295\pi\) | |||||||
\(978\) | 23.7482 | + | 16.0311i | 0.759385 | + | 0.512619i | ||||
\(979\) | 0.437937 | + | 0.142294i | 0.0139965 | + | 0.00454775i | ||||
\(980\) | −6.33019 | + | 4.78163i | −0.202211 | + | 0.152744i | ||||
\(981\) | 19.0617 | − | 3.00482i | 0.608594 | − | 0.0959366i | ||||
\(982\) | 28.3187 | + | 42.7853i | 0.903687 | + | 1.36533i | ||||
\(983\) | 10.5794 | − | 3.43747i | 0.337431 | − | 0.109638i | −0.135400 | − | 0.990791i | \(-0.543232\pi\) |
0.472831 | + | 0.881153i | \(0.343232\pi\) | |||||||
\(984\) | −42.2110 | + | 11.2933i | −1.34564 | + | 0.360018i | ||||
\(985\) | −17.4198 | − | 10.0303i | −0.555041 | − | 0.319591i | ||||
\(986\) | 1.45752 | − | 3.89827i | 0.0464170 | − | 0.124146i | ||||
\(987\) | 38.6166 | − | 3.02501i | 1.22918 | − | 0.0962872i | ||||
\(988\) | 0.272255 | − | 0.163584i | 0.00866157 | − | 0.00520430i | ||||
\(989\) | −10.7662 | − | 14.8184i | −0.342344 | − | 0.471197i | ||||
\(990\) | −23.9535 | − | 21.1739i | −0.761292 | − | 0.672949i | ||||
\(991\) | 11.9981 | − | 16.5140i | 0.381133 | − | 0.524584i | −0.574752 | − | 0.818328i | \(-0.694901\pi\) |
0.955884 | + | 0.293744i | \(0.0949013\pi\) | |||||||
\(992\) | 3.53333 | + | 36.7030i | 0.112183 | + | 1.16532i | ||||
\(993\) | 7.40232 | − | 6.31751i | 0.234906 | − | 0.200480i | ||||
\(994\) | 26.3786 | − | 33.1621i | 0.836677 | − | 1.05184i | ||||
\(995\) | 42.4251 | + | 8.96609i | 1.34497 | + | 0.284244i | ||||
\(996\) | −40.3217 | − | 0.366930i | −1.27764 | − | 0.0116266i | ||||
\(997\) | 14.4703 | + | 4.70169i | 0.458280 | + | 0.148904i | 0.529054 | − | 0.848588i | \(-0.322547\pi\) |
−0.0707741 | + | 0.997492i | \(0.522547\pi\) | |||||||
\(998\) | −11.3310 | + | 30.3059i | −0.358678 | + | 0.959316i | ||||
\(999\) | −23.4455 | − | 38.3537i | −0.741782 | − | 1.21346i |
(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 | 300.2.r.a.239.6 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.239.51 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.239.29 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.239.28 | yes | 224 | |
25.9 | even | 10 | inner | 300.2.r.a.59.28 | yes | 224 | |
75.59 | odd | 10 | inner | 300.2.r.a.59.29 | yes | 224 | |
100.59 | odd | 10 | inner | 300.2.r.a.59.51 | yes | 224 | |
300.59 | even | 10 | inner | 300.2.r.a.59.6 | ✓ | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.6 | ✓ | 224 | 300.59 | even | 10 | inner | |
300.2.r.a.59.28 | yes | 224 | 25.9 | even | 10 | inner | |
300.2.r.a.59.29 | yes | 224 | 75.59 | odd | 10 | inner | |
300.2.r.a.59.51 | yes | 224 | 100.59 | odd | 10 | inner | |
300.2.r.a.239.6 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.239.28 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.239.29 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.239.51 | yes | 224 | 3.2 | odd | 2 | inner |