Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(504\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 38.11 | ||
Character | \(\chi\) | \(=\) | 177.38 |
Dual form | 177.2.f.a.14.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{39}{58}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.277115 | + | 0.166734i | 0.195950 | + | 0.117899i | 0.610147 | − | 0.792288i | \(-0.291110\pi\) |
−0.414198 | + | 0.910187i | \(0.635938\pi\) | |||||||
\(3\) | 1.51687 | − | 0.836130i | 0.875764 | − | 0.482740i | ||||
\(4\) | −0.887825 | − | 1.67461i | −0.443912 | − | 0.837307i | ||||
\(5\) | 0.0154306 | − | 0.141882i | 0.00690077 | − | 0.0634516i | −0.990181 | − | 0.139790i | \(-0.955357\pi\) |
0.997082 | + | 0.0763382i | \(0.0243229\pi\) | |||||||
\(6\) | 0.559758 | + | 0.0212100i | 0.228520 | + | 0.00865894i | ||||
\(7\) | −0.858133 | − | 0.289139i | −0.324344 | − | 0.109284i | 0.152420 | − | 0.988316i | \(-0.451294\pi\) |
−0.476763 | + | 0.879032i | \(0.658190\pi\) | |||||||
\(8\) | 0.0682046 | − | 1.25796i | 0.0241140 | − | 0.444756i | ||||
\(9\) | 1.60177 | − | 2.53660i | 0.533924 | − | 0.845532i | ||||
\(10\) | 0.0279327 | − | 0.0367448i | 0.00883309 | − | 0.0116197i | ||||
\(11\) | 1.74490 | + | 2.57353i | 0.526107 | + | 0.775949i | 0.994179 | − | 0.107741i | \(-0.0343617\pi\) |
−0.468072 | + | 0.883690i | \(0.655051\pi\) | |||||||
\(12\) | −2.74691 | − | 1.79783i | −0.792964 | − | 0.518989i | ||||
\(13\) | −0.152764 | − | 0.161271i | −0.0423691 | − | 0.0447286i | 0.704466 | − | 0.709737i | \(-0.251186\pi\) |
−0.746836 | + | 0.665009i | \(0.768428\pi\) | |||||||
\(14\) | −0.189592 | − | 0.223205i | −0.0506706 | − | 0.0596540i | ||||
\(15\) | −0.0952257 | − | 0.228118i | −0.0245872 | − | 0.0588999i | ||||
\(16\) | −1.89871 | + | 2.80039i | −0.474678 | + | 0.700097i | ||||
\(17\) | 0.541626 | + | 1.60749i | 0.131364 | + | 0.389873i | 0.993069 | − | 0.117536i | \(-0.0374997\pi\) |
−0.861705 | + | 0.507410i | \(0.830603\pi\) | |||||||
\(18\) | 0.866813 | − | 0.435858i | 0.204310 | − | 0.102733i | ||||
\(19\) | 0.332767 | − | 2.02979i | 0.0763419 | − | 0.465665i | −0.920795 | − | 0.390047i | \(-0.872459\pi\) |
0.997137 | − | 0.0756181i | \(-0.0240930\pi\) | |||||||
\(20\) | −0.251297 | + | 0.100126i | −0.0561918 | + | 0.0223889i | ||||
\(21\) | −1.54343 | + | 0.278926i | −0.336804 | + | 0.0608666i | ||||
\(22\) | 0.0544406 | + | 1.00410i | 0.0116068 | + | 0.214075i | ||||
\(23\) | −2.08199 | + | 7.49865i | −0.434125 | + | 1.56358i | 0.346175 | + | 0.938170i | \(0.387480\pi\) |
−0.780299 | + | 0.625406i | \(0.784933\pi\) | |||||||
\(24\) | −0.948361 | − | 1.96519i | −0.193583 | − | 0.401142i | ||||
\(25\) | 4.86321 | + | 1.07047i | 0.972642 | + | 0.214095i | ||||
\(26\) | −0.0154437 | − | 0.0701616i | −0.00302877 | − | 0.0137598i | ||||
\(27\) | 0.308752 | − | 5.18697i | 0.0594193 | − | 0.998233i | ||||
\(28\) | 0.277676 | + | 1.69375i | 0.0524757 | + | 0.320088i | ||||
\(29\) | 1.29490 | + | 2.15214i | 0.240457 | + | 0.399643i | 0.953461 | − | 0.301517i | \(-0.0974932\pi\) |
−0.713003 | + | 0.701161i | \(0.752666\pi\) | |||||||
\(30\) | 0.0116467 | − | 0.0790923i | 0.00212639 | − | 0.0144402i | ||||
\(31\) | 3.42768 | − | 0.561939i | 0.615629 | − | 0.100927i | 0.154104 | − | 0.988055i | \(-0.450751\pi\) |
0.461525 | + | 0.887127i | \(0.347303\pi\) | |||||||
\(32\) | −3.27982 | + | 1.51741i | −0.579796 | + | 0.268242i | ||||
\(33\) | 4.79859 | + | 2.44474i | 0.835327 | + | 0.425575i | ||||
\(34\) | −0.117931 | + | 0.535767i | −0.0202250 | + | 0.0918832i | ||||
\(35\) | −0.0542651 | + | 0.117292i | −0.00917247 | + | 0.0198260i | ||||
\(36\) | −5.66992 | − | 0.430299i | −0.944986 | − | 0.0717166i | ||||
\(37\) | −4.70214 | + | 0.254943i | −0.773028 | + | 0.0419124i | −0.436432 | − | 0.899737i | \(-0.643758\pi\) |
−0.336595 | + | 0.941649i | \(0.609275\pi\) | |||||||
\(38\) | 0.430650 | − | 0.507000i | 0.0698607 | − | 0.0822463i | ||||
\(39\) | −0.366566 | − | 0.116896i | −0.0586976 | − | 0.0187184i | ||||
\(40\) | −0.177429 | − | 0.0290881i | −0.0280541 | − | 0.00459923i | ||||
\(41\) | −7.40832 | + | 2.05691i | −1.15698 | + | 0.321235i | −0.792439 | − | 0.609951i | \(-0.791189\pi\) |
−0.364545 | + | 0.931186i | \(0.618775\pi\) | |||||||
\(42\) | −0.474214 | − | 0.180049i | −0.0731728 | − | 0.0277821i | ||||
\(43\) | 1.53414 | + | 1.04017i | 0.233954 | + | 0.158625i | 0.672531 | − | 0.740069i | \(-0.265207\pi\) |
−0.438577 | + | 0.898693i | \(0.644517\pi\) | |||||||
\(44\) | 2.76051 | − | 5.20688i | 0.416163 | − | 0.784966i | ||||
\(45\) | −0.335181 | − | 0.266404i | −0.0499659 | − | 0.0397132i | ||||
\(46\) | −1.82723 | + | 1.73085i | −0.269411 | + | 0.255199i | ||||
\(47\) | −1.35308 | + | 0.147156i | −0.197367 | + | 0.0214650i | −0.206269 | − | 0.978495i | \(-0.566132\pi\) |
0.00890144 | + | 0.999960i | \(0.497167\pi\) | |||||||
\(48\) | −0.538603 | + | 5.83539i | −0.0777406 | + | 0.842265i | ||||
\(49\) | −4.91986 | − | 3.73998i | −0.702837 | − | 0.534283i | ||||
\(50\) | 1.16918 | + | 1.10751i | 0.165347 | + | 0.156625i | ||||
\(51\) | 2.16564 | + | 1.98548i | 0.303251 | + | 0.278022i | ||||
\(52\) | −0.134439 | + | 0.399001i | −0.0186434 | + | 0.0553315i | ||||
\(53\) | −6.14412 | − | 8.08245i | −0.843960 | − | 1.11021i | −0.992613 | − | 0.121320i | \(-0.961287\pi\) |
0.148654 | − | 0.988889i | \(-0.452506\pi\) | |||||||
\(54\) | 0.950407 | − | 1.38591i | 0.129334 | − | 0.188598i | ||||
\(55\) | 0.392063 | − | 0.207859i | 0.0528657 | − | 0.0280276i | ||||
\(56\) | −0.422253 | + | 1.05978i | −0.0564260 | + | 0.141618i | ||||
\(57\) | −1.19240 | − | 3.35715i | −0.157938 | − | 0.444666i | ||||
\(58\) | 0.812296i | 0.106660i | ||||||||
\(59\) | 3.93158 | + | 6.59869i | 0.511848 | + | 0.859076i | ||||
\(60\) | −0.297466 | + | 0.361995i | −0.0384028 | + | 0.0467334i | ||||
\(61\) | −3.68790 | + | 6.12933i | −0.472187 | + | 0.784781i | −0.997824 | − | 0.0659281i | \(-0.978999\pi\) |
0.525638 | + | 0.850709i | \(0.323827\pi\) | |||||||
\(62\) | 1.04355 | + | 0.415790i | 0.132532 | + | 0.0528054i | ||||
\(63\) | −2.10796 | + | 1.71360i | −0.265578 | + | 0.215894i | ||||
\(64\) | 5.56520 | + | 0.605252i | 0.695651 | + | 0.0756566i | ||||
\(65\) | −0.0252387 | + | 0.0191860i | −0.00313048 | + | 0.00237973i | ||||
\(66\) | 0.922136 | + | 1.47756i | 0.113507 | + | 0.181876i | ||||
\(67\) | 4.55323 | + | 0.246869i | 0.556266 | + | 0.0301599i | 0.330129 | − | 0.943936i | \(-0.392908\pi\) |
0.226137 | + | 0.974096i | \(0.427390\pi\) | |||||||
\(68\) | 2.21106 | − | 2.33418i | 0.268130 | − | 0.283061i | ||||
\(69\) | 3.11174 | + | 13.1153i | 0.374610 | + | 1.57889i | ||||
\(70\) | −0.0345943 | + | 0.0234555i | −0.00413481 | + | 0.00280347i | ||||
\(71\) | 0.00120099 | + | 0.0110429i | 0.000142531 | + | 0.00131055i | 0.994209 | − | 0.107464i | \(-0.0342729\pi\) |
−0.994066 | + | 0.108774i | \(0.965307\pi\) | |||||||
\(72\) | −3.08169 | − | 2.18797i | −0.363180 | − | 0.257855i | ||||
\(73\) | 6.41918 | − | 5.45250i | 0.751309 | − | 0.638167i | −0.187635 | − | 0.982239i | \(-0.560082\pi\) |
0.938943 | + | 0.344072i | \(0.111806\pi\) | |||||||
\(74\) | −1.34554 | − | 0.713361i | −0.156416 | − | 0.0829265i | ||||
\(75\) | 8.27190 | − | 2.44251i | 0.955157 | − | 0.282037i | ||||
\(76\) | −3.69455 | + | 1.24484i | −0.423794 | + | 0.142793i | ||||
\(77\) | −0.753247 | − | 2.71295i | −0.0858404 | − | 0.309169i | ||||
\(78\) | −0.0820904 | − | 0.0935129i | −0.00929491 | − | 0.0105883i | ||||
\(79\) | −4.43599 | − | 11.1335i | −0.499088 | − | 1.25262i | −0.935646 | − | 0.352940i | \(-0.885182\pi\) |
0.436558 | − | 0.899676i | \(-0.356197\pi\) | |||||||
\(80\) | 0.368026 | + | 0.312604i | 0.0411466 | + | 0.0349502i | ||||
\(81\) | −3.86865 | − | 8.12610i | −0.429850 | − | 0.902900i | ||||
\(82\) | −2.39591 | − | 0.665222i | −0.264584 | − | 0.0734614i | ||||
\(83\) | −8.16761 | − | 3.77874i | −0.896512 | − | 0.414771i | −0.0831556 | − | 0.996537i | \(-0.526500\pi\) |
−0.813356 | + | 0.581766i | \(0.802362\pi\) | |||||||
\(84\) | 1.83739 | + | 2.33701i | 0.200476 | + | 0.254989i | ||||
\(85\) | 0.236431 | − | 0.0520425i | 0.0256446 | − | 0.00564480i | ||||
\(86\) | 0.251700 | + | 0.544041i | 0.0271415 | + | 0.0586654i | ||||
\(87\) | 3.76367 | + | 2.18181i | 0.403507 | + | 0.233915i | ||||
\(88\) | 3.35641 | − | 2.01948i | 0.357795 | − | 0.215278i | ||||
\(89\) | 15.2583 | − | 9.18064i | 1.61738 | − | 0.973146i | 0.638272 | − | 0.769811i | \(-0.279650\pi\) |
0.979109 | − | 0.203335i | \(-0.0651779\pi\) | |||||||
\(90\) | −0.0484650 | − | 0.129711i | −0.00510865 | − | 0.0136727i | ||||
\(91\) | 0.0844621 | + | 0.182562i | 0.00885404 | + | 0.0191377i | ||||
\(92\) | 14.4058 | − | 3.17095i | 1.50191 | − | 0.330595i | ||||
\(93\) | 4.72948 | − | 3.71837i | 0.490424 | − | 0.385577i | ||||
\(94\) | −0.399495 | − | 0.184826i | −0.0412048 | − | 0.0190633i | ||||
\(95\) | −0.282855 | − | 0.0785344i | −0.0290204 | − | 0.00805746i | ||||
\(96\) | −3.70631 | + | 5.04406i | −0.378273 | + | 0.514808i | ||||
\(97\) | −2.61486 | − | 2.22108i | −0.265499 | − | 0.225517i | 0.504741 | − | 0.863271i | \(-0.331588\pi\) |
−0.770240 | + | 0.637754i | \(0.779864\pi\) | |||||||
\(98\) | −0.739783 | − | 1.85671i | −0.0747293 | − | 0.187557i | ||||
\(99\) | 9.32294 | − | 0.303889i | 0.936991 | − | 0.0305420i | ||||
\(100\) | −2.52505 | − | 9.09440i | −0.252505 | − | 0.909440i | ||||
\(101\) | 7.01322 | − | 2.36303i | 0.697841 | − | 0.235130i | 0.0520504 | − | 0.998644i | \(-0.483424\pi\) |
0.645791 | + | 0.763514i | \(0.276528\pi\) | |||||||
\(102\) | 0.269085 | + | 0.911293i | 0.0266434 | + | 0.0902314i | ||||
\(103\) | 3.30477 | + | 1.75208i | 0.325629 | + | 0.172637i | 0.623201 | − | 0.782062i | \(-0.285832\pi\) |
−0.297572 | + | 0.954699i | \(0.596177\pi\) | |||||||
\(104\) | −0.213292 | + | 0.181172i | −0.0209150 | + | 0.0177653i | ||||
\(105\) | 0.0157585 | + | 0.223289i | 0.00153787 | + | 0.0217908i | ||||
\(106\) | −0.355003 | − | 3.26420i | −0.0344810 | − | 0.317047i | ||||
\(107\) | 6.75605 | − | 4.58072i | 0.653132 | − | 0.442835i | −0.189094 | − | 0.981959i | \(-0.560555\pi\) |
0.842226 | + | 0.539124i | \(0.181245\pi\) | |||||||
\(108\) | −8.96030 | + | 4.08808i | −0.862205 | + | 0.393376i | ||||
\(109\) | −9.82571 | + | 10.3729i | −0.941132 | + | 0.993541i | −0.999989 | − | 0.00472531i | \(-0.998496\pi\) |
0.0588567 | + | 0.998266i | \(0.481255\pi\) | |||||||
\(110\) | 0.143304 | + | 0.00776969i | 0.0136635 | + | 0.000740811i | ||||
\(111\) | −6.91936 | + | 4.31832i | −0.656757 | + | 0.409877i | ||||
\(112\) | 2.43904 | − | 1.85411i | 0.230468 | − | 0.175197i | ||||
\(113\) | −11.4009 | − | 1.23992i | −1.07251 | − | 0.116642i | −0.445213 | − | 0.895425i | \(-0.646872\pi\) |
−0.627294 | + | 0.778782i | \(0.715838\pi\) | |||||||
\(114\) | 0.229321 | − | 1.12913i | 0.0214778 | − | 0.105753i | ||||
\(115\) | 1.03180 | + | 0.411105i | 0.0962156 | + | 0.0383358i | ||||
\(116\) | 2.45437 | − | 4.07919i | 0.227882 | − | 0.378743i | ||||
\(117\) | −0.653773 | + | 0.129181i | −0.0604413 | + | 0.0119428i | ||||
\(118\) | −0.0107292 | + | 2.48412i | −0.000987702 | + | 0.228682i | ||||
\(119\) | − | 1.53604i | − | 0.140809i | ||||||
\(120\) | −0.293458 | + | 0.104231i | −0.0267890 | + | 0.00951498i | ||||
\(121\) | 0.493121 | − | 1.23764i | 0.0448292 | − | 0.112513i | ||||
\(122\) | −2.04394 | + | 1.08363i | −0.185050 | + | 0.0981072i | ||||
\(123\) | −9.51759 | + | 9.31437i | −0.858172 | + | 0.839849i | ||||
\(124\) | −3.98421 | − | 5.24114i | −0.357792 | − | 0.470668i | ||||
\(125\) | 0.454775 | − | 1.34972i | 0.0406763 | − | 0.120723i | ||||
\(126\) | −0.869864 | + | 0.123395i | −0.0774936 | + | 0.0109929i | ||||
\(127\) | 8.05570 | + | 7.63076i | 0.714828 | + | 0.677121i | 0.956002 | − | 0.293361i | \(-0.0947739\pi\) |
−0.241174 | + | 0.970482i | \(0.577532\pi\) | |||||||
\(128\) | 7.19517 | + | 5.46963i | 0.635969 | + | 0.483451i | ||||
\(129\) | 3.19680 | + | 0.295063i | 0.281463 | + | 0.0259788i | ||||
\(130\) | −0.0101930 | + | 0.00110855i | −0.000893984 | + | 9.72266e-5i | ||||
\(131\) | −7.96000 | + | 7.54011i | −0.695468 | + | 0.658782i | −0.951416 | − | 0.307908i | \(-0.900371\pi\) |
0.255948 | + | 0.966691i | \(0.417612\pi\) | |||||||
\(132\) | −0.166297 | − | 10.2063i | −0.0144743 | − | 0.888343i | ||||
\(133\) | −0.872447 | + | 1.64561i | −0.0756508 | + | 0.142693i | ||||
\(134\) | 1.22061 | + | 0.827592i | 0.105444 | + | 0.0714930i | ||||
\(135\) | −0.731174 | − | 0.123844i | −0.0629294 | − | 0.0106588i | ||||
\(136\) | 2.05910 | − | 0.571705i | 0.176566 | − | 0.0490233i | ||||
\(137\) | −11.5074 | − | 1.88655i | −0.983147 | − | 0.161179i | −0.351292 | − | 0.936266i | \(-0.614258\pi\) |
−0.631854 | + | 0.775087i | \(0.717706\pi\) | |||||||
\(138\) | −1.32446 | + | 4.15327i | −0.112745 | + | 0.353550i | ||||
\(139\) | −3.39387 | + | 3.99558i | −0.287865 | + | 0.338900i | −0.887019 | − | 0.461733i | \(-0.847228\pi\) |
0.599154 | + | 0.800634i | \(0.295504\pi\) | |||||||
\(140\) | 0.244597 | − | 0.0132617i | 0.0206722 | − | 0.00112081i | ||||
\(141\) | −1.92940 | + | 1.35457i | −0.162485 | + | 0.114075i | ||||
\(142\) | −0.00150842 | + | 0.00326040i | −0.000126584 | + | 0.000273607i | ||||
\(143\) | 0.148479 | − | 0.674545i | 0.0124164 | − | 0.0564083i | ||||
\(144\) | 4.06215 | + | 9.30185i | 0.338513 | + | 0.775154i | ||||
\(145\) | 0.325332 | − | 0.150514i | 0.0270173 | − | 0.0124995i | ||||
\(146\) | 2.68797 | − | 0.440670i | 0.222458 | − | 0.0364701i | ||||
\(147\) | −10.5899 | − | 1.55941i | −0.873439 | − | 0.128618i | ||||
\(148\) | 4.60161 | + | 7.64794i | 0.378250 | + | 0.628657i | ||||
\(149\) | −2.31259 | − | 14.1062i | −0.189455 | − | 1.15562i | −0.894702 | − | 0.446663i | \(-0.852612\pi\) |
0.705247 | − | 0.708961i | \(-0.250836\pi\) | |||||||
\(150\) | 2.69952 | + | 0.702355i | 0.220415 | + | 0.0573470i | ||||
\(151\) | 4.87446 | + | 22.1449i | 0.396678 | + | 1.80213i | 0.575000 | + | 0.818153i | \(0.305002\pi\) |
−0.178322 | + | 0.983972i | \(0.557067\pi\) | |||||||
\(152\) | −2.53069 | − | 0.557048i | −0.205266 | − | 0.0451826i | ||||
\(153\) | 4.94511 | + | 1.20094i | 0.399789 | + | 0.0970906i | ||||
\(154\) | 0.243606 | − | 0.877391i | 0.0196304 | − | 0.0707021i | ||||
\(155\) | −0.0268379 | − | 0.494997i | −0.00215568 | − | 0.0397591i | ||||
\(156\) | 0.129691 | + | 0.717641i | 0.0103836 | + | 0.0574573i | ||||
\(157\) | 3.22115 | − | 1.28343i | 0.257076 | − | 0.102428i | −0.238040 | − | 0.971255i | \(-0.576505\pi\) |
0.495116 | + | 0.868827i | \(0.335126\pi\) | |||||||
\(158\) | 0.627059 | − | 3.82489i | 0.0498861 | − | 0.304292i | ||||
\(159\) | −16.0778 | − | 7.12272i | −1.27505 | − | 0.564868i | ||||
\(160\) | 0.164683 | + | 0.488762i | 0.0130194 | + | 0.0386401i | ||||
\(161\) | 3.95477 | − | 5.83285i | 0.311680 | − | 0.459693i | ||||
\(162\) | 0.282842 | − | 2.89690i | 0.0222222 | − | 0.227602i | ||||
\(163\) | 2.42841 | + | 2.85895i | 0.190208 | + | 0.223930i | 0.848997 | − | 0.528398i | \(-0.177207\pi\) |
−0.658789 | + | 0.752328i | \(0.728931\pi\) | |||||||
\(164\) | 10.0218 | + | 10.5799i | 0.782572 | + | 0.826151i | ||||
\(165\) | 0.420910 | − | 0.643109i | 0.0327678 | − | 0.0500660i | ||||
\(166\) | −1.63332 | − | 2.40897i | −0.126770 | − | 0.186972i | ||||
\(167\) | −15.5960 | + | 20.5162i | −1.20685 | + | 1.58759i | −0.542973 | + | 0.839750i | \(0.682701\pi\) |
−0.663881 | + | 0.747838i | \(0.731092\pi\) | |||||||
\(168\) | 0.245608 | + | 1.96060i | 0.0189491 | + | 0.151263i | ||||
\(169\) | 0.701134 | − | 12.9317i | 0.0539334 | − | 0.994743i | ||||
\(170\) | 0.0741959 | + | 0.0249995i | 0.00569057 | + | 0.00191737i | ||||
\(171\) | −4.61573 | − | 4.09535i | −0.352974 | − | 0.313179i | ||||
\(172\) | 0.379841 | − | 3.49258i | 0.0289626 | − | 0.266307i | ||||
\(173\) | −9.21716 | − | 17.3854i | −0.700768 | − | 1.32179i | −0.936739 | − | 0.350028i | \(-0.886172\pi\) |
0.235972 | − | 0.971760i | \(-0.424173\pi\) | |||||||
\(174\) | 0.679185 | + | 1.23215i | 0.0514889 | + | 0.0934087i | ||||
\(175\) | −3.86376 | − | 2.32475i | −0.292073 | − | 0.175735i | ||||
\(176\) | −10.5199 | −0.792971 | ||||||||
\(177\) | 11.4810 | + | 6.72202i | 0.862968 | + | 0.505258i | ||||
\(178\) | 5.75904 | 0.431658 | ||||||||
\(179\) | 9.56452 | + | 5.75478i | 0.714886 | + | 0.430132i | 0.825996 | − | 0.563676i | \(-0.190613\pi\) |
−0.111111 | + | 0.993808i | \(0.535441\pi\) | |||||||
\(180\) | −0.148542 | + | 0.797819i | −0.0110717 | + | 0.0594659i | ||||
\(181\) | −8.55072 | − | 16.1284i | −0.635570 | − | 1.19881i | −0.966866 | − | 0.255285i | \(-0.917831\pi\) |
0.331296 | − | 0.943527i | \(-0.392514\pi\) | |||||||
\(182\) | −0.00703365 | + | 0.0646734i | −0.000521369 | + | 0.00479391i | ||||
\(183\) | −0.469131 | + | 12.3809i | −0.0346791 | + | 0.915226i | ||||
\(184\) | 9.29100 | + | 3.13050i | 0.684941 | + | 0.230784i | ||||
\(185\) | −0.0363851 | + | 0.671084i | −0.00267509 | + | 0.0493391i | ||||
\(186\) | 1.93059 | − | 0.241849i | 0.141558 | − | 0.0177332i | ||||
\(187\) | −3.19184 | + | 4.19879i | −0.233411 | + | 0.307046i | ||||
\(188\) | 1.44773 | + | 2.13524i | 0.105586 | + | 0.155728i | ||||
\(189\) | −1.76470 | + | 4.36184i | −0.128363 | + | 0.317277i | ||||
\(190\) | −0.0652891 | − | 0.0689248i | −0.00473657 | − | 0.00500033i | ||||
\(191\) | −4.95313 | − | 5.83127i | −0.358396 | − | 0.421936i | 0.553184 | − | 0.833059i | \(-0.313413\pi\) |
−0.911580 | + | 0.411123i | \(0.865137\pi\) | |||||||
\(192\) | 8.94775 | − | 3.73515i | 0.645748 | − | 0.269561i | ||||
\(193\) | −11.8115 | + | 17.4207i | −0.850210 | + | 1.25397i | 0.115229 | + | 0.993339i | \(0.463240\pi\) |
−0.965439 | + | 0.260628i | \(0.916071\pi\) | |||||||
\(194\) | −0.354285 | − | 1.05148i | −0.0254362 | − | 0.0754920i | ||||
\(195\) | −0.0222418 | + | 0.0502054i | −0.00159277 | + | 0.00359528i | ||||
\(196\) | −1.89505 | + | 11.5593i | −0.135361 | + | 0.825666i | ||||
\(197\) | −16.2729 | + | 6.48373i | −1.15940 | + | 0.461947i | −0.868929 | − | 0.494937i | \(-0.835191\pi\) |
−0.290470 | + | 0.956884i | \(0.593812\pi\) | |||||||
\(198\) | 2.63419 | + | 1.47024i | 0.187204 | + | 0.104486i | ||||
\(199\) | −0.181169 | − | 3.34147i | −0.0128428 | − | 0.236871i | −0.997906 | − | 0.0646786i | \(-0.979398\pi\) |
0.985063 | − | 0.172192i | \(-0.0550850\pi\) | |||||||
\(200\) | 1.67831 | − | 6.04471i | 0.118674 | − | 0.427426i | ||||
\(201\) | 7.11306 | − | 3.43263i | 0.501717 | − | 0.242119i | ||||
\(202\) | 2.33746 | + | 0.514515i | 0.164463 | + | 0.0362011i | ||||
\(203\) | −0.488930 | − | 2.22123i | −0.0343162 | − | 0.155900i | ||||
\(204\) | 1.40220 | − | 5.38937i | 0.0981734 | − | 0.377332i | ||||
\(205\) | 0.177524 | + | 1.08285i | 0.0123988 | + | 0.0756293i | ||||
\(206\) | 0.623669 | + | 1.03655i | 0.0434531 | + | 0.0722196i | ||||
\(207\) | 15.6862 | + | 17.2923i | 1.09026 | + | 1.20190i | ||||
\(208\) | 0.741676 | − | 0.121592i | 0.0514260 | − | 0.00843086i | ||||
\(209\) | 5.80437 | − | 2.68539i | 0.401496 | − | 0.185752i | ||||
\(210\) | −0.0328631 | + | 0.0645042i | −0.00226777 | + | 0.00445121i | ||||
\(211\) | 1.74142 | − | 7.91134i | 0.119884 | − | 0.544639i | −0.877944 | − | 0.478764i | \(-0.841085\pi\) |
0.997828 | − | 0.0658754i | \(-0.0209840\pi\) | |||||||
\(212\) | −8.08009 | + | 17.4648i | −0.554943 | + | 1.19949i | ||||
\(213\) | 0.0110550 | + | 0.0157464i | 0.000757479 | + | 0.00107893i | ||||
\(214\) | 2.63597 | − | 0.142918i | 0.180191 | − | 0.00976967i | ||||
\(215\) | 0.171254 | − | 0.201616i | 0.0116794 | − | 0.0137501i | ||||
\(216\) | −6.50394 | − | 0.742173i | −0.442537 | − | 0.0504984i | ||||
\(217\) | −3.10388 | − | 0.508855i | −0.210705 | − | 0.0345433i | ||||
\(218\) | −4.45236 | + | 1.23619i | −0.301552 | + | 0.0837256i | ||||
\(219\) | 5.17805 | − | 13.6380i | 0.349900 | − | 0.921570i | ||||
\(220\) | −0.696166 | − | 0.472012i | −0.0469355 | − | 0.0318231i | ||||
\(221\) | 0.176500 | − | 0.332915i | 0.0118727 | − | 0.0223943i | ||||
\(222\) | −2.63747 | + | 0.0429739i | −0.177015 | + | 0.00288422i | ||||
\(223\) | −13.9077 | + | 13.1741i | −0.931330 | + | 0.882203i | −0.993264 | − | 0.115877i | \(-0.963032\pi\) |
0.0619332 | + | 0.998080i | \(0.480273\pi\) | |||||||
\(224\) | 3.25326 | − | 0.353814i | 0.217368 | − | 0.0236402i | ||||
\(225\) | 10.5051 | − | 10.6213i | 0.700341 | − | 0.708090i | ||||
\(226\) | −2.95262 | − | 2.24453i | −0.196406 | − | 0.149304i | ||||
\(227\) | 13.0991 | + | 12.4081i | 0.869416 | + | 0.823555i | 0.985498 | − | 0.169685i | \(-0.0542750\pi\) |
−0.116082 | + | 0.993240i | \(0.537034\pi\) | |||||||
\(228\) | −4.56329 | + | 4.97738i | −0.302212 | + | 0.329635i | ||||
\(229\) | 8.19093 | − | 24.3098i | 0.541272 | − | 1.60644i | −0.232241 | − | 0.972658i | \(-0.574606\pi\) |
0.773513 | − | 0.633780i | \(-0.218497\pi\) | |||||||
\(230\) | 0.217381 | + | 0.285960i | 0.0143337 | + | 0.0188556i | ||||
\(231\) | −3.41095 | − | 3.48537i | −0.224424 | − | 0.229321i | ||||
\(232\) | 2.79563 | − | 1.48215i | 0.183542 | − | 0.0973078i | ||||
\(233\) | −2.68119 | + | 6.72927i | −0.175650 | + | 0.440849i | −0.990272 | − | 0.139143i | \(-0.955565\pi\) |
0.814622 | + | 0.579992i | \(0.196944\pi\) | |||||||
\(234\) | −0.202709 | − | 0.0732085i | −0.0132515 | − | 0.00478579i | ||||
\(235\) | 0.194249i | 0.0126714i | ||||||||
\(236\) | 7.55971 | − | 12.4424i | 0.492095 | − | 0.809929i | ||||
\(237\) | −16.0379 | − | 13.1790i | −1.04177 | − | 0.856067i | ||||
\(238\) | 0.256111 | − | 0.425660i | 0.0166012 | − | 0.0275915i | ||||
\(239\) | −6.35846 | − | 2.53344i | −0.411295 | − | 0.163875i | 0.155308 | − | 0.987866i | \(-0.450363\pi\) |
−0.566602 | + | 0.823991i | \(0.691742\pi\) | |||||||
\(240\) | 0.819625 | + | 0.166462i | 0.0529066 | + | 0.0107450i | ||||
\(241\) | 8.06104 | + | 0.876691i | 0.519257 | + | 0.0564726i | 0.363995 | − | 0.931401i | \(-0.381412\pi\) |
0.155262 | + | 0.987873i | \(0.450378\pi\) | |||||||
\(242\) | 0.343009 | − | 0.260748i | 0.0220494 | − | 0.0167615i | ||||
\(243\) | −12.6627 | − | 9.09153i | −0.812313 | − | 0.583222i | ||||
\(244\) | 13.5385 | + | 0.734035i | 0.866712 | + | 0.0469918i | ||||
\(245\) | −0.606553 | + | 0.640330i | −0.0387512 | + | 0.0409092i | ||||
\(246\) | −4.19049 | + | 0.994241i | −0.267176 | + | 0.0633905i | ||||
\(247\) | −0.378181 | + | 0.256413i | −0.0240631 | + | 0.0163152i | ||||
\(248\) | −0.473113 | − | 4.35021i | −0.0300427 | − | 0.276238i | ||||
\(249\) | −15.5487 | + | 1.09734i | −0.985359 | + | 0.0695411i | ||||
\(250\) | 0.351070 | − | 0.298202i | 0.0222036 | − | 0.0188599i | ||||
\(251\) | 18.8980 | + | 10.0191i | 1.19283 | + | 0.632398i | 0.941993 | − | 0.335632i | \(-0.108950\pi\) |
0.250835 | + | 0.968030i | \(0.419295\pi\) | |||||||
\(252\) | 4.74112 | + | 2.00865i | 0.298663 | + | 0.126533i | ||||
\(253\) | −22.9309 | + | 7.72631i | −1.44165 | + | 0.485749i | ||||
\(254\) | 0.960042 | + | 3.45776i | 0.0602384 | + | 0.216959i | ||||
\(255\) | 0.315121 | − | 0.276629i | 0.0197336 | − | 0.0173232i | ||||
\(256\) | −3.06217 | − | 7.68546i | −0.191386 | − | 0.480341i | ||||
\(257\) | 10.3085 | + | 8.75615i | 0.643029 | + | 0.546194i | 0.908479 | − | 0.417931i | \(-0.137245\pi\) |
−0.265450 | + | 0.964125i | \(0.585520\pi\) | |||||||
\(258\) | 0.836684 | + | 0.614783i | 0.0520897 | + | 0.0382747i | ||||
\(259\) | 4.10878 | + | 1.14080i | 0.255307 | + | 0.0708856i | ||||
\(260\) | 0.0545367 | + | 0.0252313i | 0.00338222 | + | 0.00156478i | ||||
\(261\) | 7.53326 | + | 0.162601i | 0.466297 | + | 0.0100648i | ||||
\(262\) | −3.46303 | + | 0.762270i | −0.213947 | + | 0.0470932i | ||||
\(263\) | −3.98600 | − | 8.61560i | −0.245787 | − | 0.531260i | 0.744939 | − | 0.667132i | \(-0.232478\pi\) |
−0.990726 | + | 0.135872i | \(0.956616\pi\) | |||||||
\(264\) | 3.40268 | − | 5.86969i | 0.209420 | − | 0.361254i | ||||
\(265\) | −1.24156 | + | 0.747023i | −0.0762685 | + | 0.0458893i | ||||
\(266\) | −0.516148 | + | 0.310556i | −0.0316471 | + | 0.0190414i | ||||
\(267\) | 15.4687 | − | 26.6838i | 0.946667 | − | 1.63302i | ||||
\(268\) | −3.62906 | − | 7.84409i | −0.221680 | − | 0.479154i | ||||
\(269\) | 21.3895 | − | 4.70818i | 1.30414 | − | 0.287063i | 0.492035 | − | 0.870575i | \(-0.336253\pi\) |
0.812104 | + | 0.583513i | \(0.198322\pi\) | |||||||
\(270\) | −0.181970 | − | 0.156231i | −0.0110743 | − | 0.00950792i | ||||
\(271\) | 16.0661 | + | 7.43295i | 0.975944 | + | 0.451520i | 0.842005 | − | 0.539470i | \(-0.181375\pi\) |
0.133939 | + | 0.990990i | \(0.457237\pi\) | |||||||
\(272\) | −5.52998 | − | 1.53539i | −0.335304 | − | 0.0930968i | ||||
\(273\) | 0.280763 | + | 0.206301i | 0.0169926 | + | 0.0124859i | ||||
\(274\) | −2.87433 | − | 2.44148i | −0.173645 | − | 0.147495i | ||||
\(275\) | 5.73091 | + | 14.3835i | 0.345587 | + | 0.867357i | ||||
\(276\) | 19.2003 | − | 16.8550i | 1.15572 | − | 1.01455i | ||||
\(277\) | −5.26197 | − | 18.9519i | −0.316161 | − | 1.13871i | −0.935424 | − | 0.353527i | \(-0.884982\pi\) |
0.619263 | − | 0.785183i | \(-0.287431\pi\) | |||||||
\(278\) | −1.60669 | + | 0.541358i | −0.0963630 | + | 0.0324685i | ||||
\(279\) | 4.06495 | − | 9.59473i | 0.243362 | − | 0.574422i | ||||
\(280\) | 0.143847 | + | 0.0762631i | 0.00859653 | + | 0.00455759i | ||||
\(281\) | −3.39992 | + | 2.88792i | −0.202822 | + | 0.172279i | −0.743041 | − | 0.669246i | \(-0.766617\pi\) |
0.540219 | + | 0.841525i | \(0.318341\pi\) | |||||||
\(282\) | −0.760519 | + | 0.0536732i | −0.0452883 | + | 0.00319619i | ||||
\(283\) | −2.42278 | − | 22.2771i | −0.144019 | − | 1.32424i | −0.813569 | − | 0.581468i | \(-0.802478\pi\) |
0.669550 | − | 0.742767i | \(-0.266487\pi\) | |||||||
\(284\) | 0.0174263 | − | 0.0118154i | 0.00103406 | − | 0.000701112i | ||||
\(285\) | −0.494719 | + | 0.117378i | −0.0293046 | + | 0.00695285i | ||||
\(286\) | 0.153615 | − | 0.162170i | 0.00908347 | − | 0.00958931i | ||||
\(287\) | 6.95205 | + | 0.376929i | 0.410366 | + | 0.0222494i | ||||
\(288\) | −1.40448 | + | 10.7501i | −0.0827597 | + | 0.633457i | ||||
\(289\) | 11.2429 | − | 8.54665i | 0.661348 | − | 0.502744i | ||||
\(290\) | 0.115250 | + | 0.0125342i | 0.00676772 | + | 0.000736034i | ||||
\(291\) | −5.82351 | − | 1.18272i | −0.341380 | − | 0.0693325i | ||||
\(292\) | −14.8300 | − | 5.90879i | −0.867857 | − | 0.345786i | ||||
\(293\) | −9.05424 | + | 15.0483i | −0.528954 | + | 0.879129i | −0.999996 | − | 0.00298219i | \(-0.999051\pi\) |
0.471041 | + | 0.882111i | \(0.343878\pi\) | |||||||
\(294\) | −2.67461 | − | 2.19784i | −0.155986 | − | 0.128180i | ||||
\(295\) | 0.996902 | − | 0.455999i | 0.0580419 | − | 0.0265493i | ||||
\(296\) | 5.93250i | 0.344819i | ||||||||
\(297\) | 13.8876 | − | 8.25615i | 0.805839 | − | 0.479071i | ||||
\(298\) | 1.71113 | − | 4.29462i | 0.0991233 | − | 0.248781i | ||||
\(299\) | 1.52737 | − | 0.809759i | 0.0883300 | − | 0.0468296i | ||||
\(300\) | −11.4343 | − | 11.6837i | −0.660157 | − | 0.674560i | ||||
\(301\) | −1.01574 | − | 1.33618i | −0.0585463 | − | 0.0770163i | ||||
\(302\) | −2.34153 | + | 6.94942i | −0.134740 | + | 0.399894i | ||||
\(303\) | 8.66232 | − | 9.44836i | 0.497637 | − | 0.542794i | ||||
\(304\) | 5.05236 | + | 4.78585i | 0.289773 | + | 0.274487i | ||||
\(305\) | 0.812736 | + | 0.617825i | 0.0465371 | + | 0.0353766i | ||||
\(306\) | 1.17012 | + | 1.15732i | 0.0668916 | + | 0.0661596i | ||||
\(307\) | 19.8687 | − | 2.16085i | 1.13397 | − | 0.123326i | 0.478173 | − | 0.878266i | \(-0.341299\pi\) |
0.655795 | + | 0.754939i | \(0.272334\pi\) | |||||||
\(308\) | −3.87439 | + | 3.67002i | −0.220764 | + | 0.209119i | ||||
\(309\) | 6.47787 | − | 0.105548i | 0.368513 | − | 0.00600440i | ||||
\(310\) | 0.0750958 | − | 0.141646i | 0.00426516 | − | 0.00804494i | ||||
\(311\) | 10.0077 | + | 6.78538i | 0.567484 | + | 0.384763i | 0.810923 | − | 0.585153i | \(-0.198965\pi\) |
−0.243440 | + | 0.969916i | \(0.578276\pi\) | |||||||
\(312\) | −0.172052 | + | 0.453153i | −0.00974054 | + | 0.0256547i | ||||
\(313\) | −0.600864 | + | 0.166829i | −0.0339628 | + | 0.00942974i | −0.284468 | − | 0.958685i | \(-0.591817\pi\) |
0.250505 | + | 0.968115i | \(0.419403\pi\) | |||||||
\(314\) | 1.10662 | + | 0.181421i | 0.0624502 | + | 0.0102382i | ||||
\(315\) | 0.210602 | + | 0.325524i | 0.0118661 | + | 0.0183412i | ||||
\(316\) | −14.7059 | + | 17.3132i | −0.827274 | + | 0.973942i | ||||
\(317\) | −4.54041 | + | 0.246174i | −0.255015 | + | 0.0138265i | −0.181203 | − | 0.983446i | \(-0.557999\pi\) |
−0.0738118 | + | 0.997272i | \(0.523516\pi\) | |||||||
\(318\) | −3.26779 | − | 4.65453i | −0.183249 | − | 0.261013i | ||||
\(319\) | −3.27914 | + | 7.08774i | −0.183597 | + | 0.396838i | ||||
\(320\) | 0.171749 | − | 0.780263i | 0.00960106 | − | 0.0436180i | ||||
\(321\) | 6.41796 | − | 12.5973i | 0.358216 | − | 0.703112i | ||||
\(322\) | 2.06846 | − | 0.956973i | 0.115271 | − | 0.0533300i | ||||
\(323\) | 3.44309 | − | 0.564467i | 0.191579 | − | 0.0314078i | ||||
\(324\) | −10.1734 | + | 13.6931i | −0.565190 | + | 0.760725i | ||||
\(325\) | −0.570287 | − | 0.947825i | −0.0316339 | − | 0.0525759i | ||||
\(326\) | 0.196264 | + | 1.19716i | 0.0108701 | + | 0.0663044i | ||||
\(327\) | −6.23122 | + | 23.9498i | −0.344587 | + | 1.32443i | ||||
\(328\) | 2.08223 | + | 9.45965i | 0.114972 | + | 0.522322i | ||||
\(329\) | 1.20367 | + | 0.264948i | 0.0663606 | + | 0.0146071i | ||||
\(330\) | 0.223869 | − | 0.108035i | 0.0123236 | − | 0.00594712i | ||||
\(331\) | 2.75927 | − | 9.93800i | 0.151663 | − | 0.546242i | −0.848199 | − | 0.529677i | \(-0.822313\pi\) |
0.999863 | − | 0.0165650i | \(-0.00527305\pi\) | |||||||
\(332\) | 0.923473 | + | 17.0325i | 0.0506822 | + | 0.934778i | ||||
\(333\) | −6.88508 | + | 12.3358i | −0.377300 | + | 0.675998i | ||||
\(334\) | −7.74263 | + | 3.08495i | −0.423658 | + | 0.168801i | ||||
\(335\) | 0.105285 | − | 0.642212i | 0.00575235 | − | 0.0350878i | ||||
\(336\) | 2.14943 | − | 4.85180i | 0.117261 | − | 0.264688i | ||||
\(337\) | 8.72315 | + | 25.8894i | 0.475180 | + | 1.41028i | 0.870694 | + | 0.491825i | \(0.163670\pi\) |
−0.395514 | + | 0.918460i | \(0.629434\pi\) | |||||||
\(338\) | 2.35045 | − | 3.46665i | 0.127848 | − | 0.188561i | ||||
\(339\) | −18.3304 | + | 7.65184i | −0.995571 | + | 0.415591i | ||||
\(340\) | −0.297061 | − | 0.349727i | −0.0161104 | − | 0.0189666i | ||||
\(341\) | 7.42711 | + | 7.84071i | 0.402201 | + | 0.424598i | ||||
\(342\) | −0.596252 | − | 1.90448i | −0.0322416 | − | 0.102983i | ||||
\(343\) | 6.69774 | + | 9.87843i | 0.361644 | + | 0.533385i | ||||
\(344\) | 1.41313 | − | 1.85894i | 0.0761908 | − | 0.100227i | ||||
\(345\) | 1.90884 | − | 0.239124i | 0.102768 | − | 0.0128740i | ||||
\(346\) | 0.344535 | − | 6.35457i | 0.0185223 | − | 0.341624i | ||||
\(347\) | −25.2730 | − | 8.51545i | −1.35672 | − | 0.457133i | −0.455403 | − | 0.890286i | \(-0.650505\pi\) |
−0.901321 | + | 0.433152i | \(0.857401\pi\) | |||||||
\(348\) | 0.312216 | − | 8.23976i | 0.0167365 | − | 0.441697i | ||||
\(349\) | −2.13877 | + | 19.6657i | −0.114486 | + | 1.05268i | 0.786129 | + | 0.618062i | \(0.212082\pi\) |
−0.900615 | + | 0.434618i | \(0.856883\pi\) | |||||||
\(350\) | −0.683090 | − | 1.28845i | −0.0365127 | − | 0.0688703i | ||||
\(351\) | −0.883675 | + | 0.742590i | −0.0471671 | + | 0.0396365i | ||||
\(352\) | −9.62805 | − | 5.79301i | −0.513177 | − | 0.308768i | ||||
\(353\) | −0.456126 | −0.0242771 | −0.0121386 | − | 0.999926i | \(-0.503864\pi\) | ||||
−0.0121386 | + | 0.999926i | \(0.503864\pi\) | |||||||
\(354\) | 2.06078 | + | 3.77706i | 0.109529 | + | 0.200748i | ||||
\(355\) | 0.00158532 | 8.41401e−5 | ||||||||
\(356\) | −28.9208 | − | 17.4010i | −1.53280 | − | 0.922254i | ||||
\(357\) | −1.28433 | − | 2.32997i | −0.0679740 | − | 0.123315i | ||||
\(358\) | 1.69095 | + | 3.18947i | 0.0893695 | + | 0.168569i | ||||
\(359\) | −1.40524 | + | 12.9210i | −0.0741659 | + | 0.681944i | 0.896752 | + | 0.442533i | \(0.145920\pi\) |
−0.970918 | + | 0.239411i | \(0.923046\pi\) | |||||||
\(360\) | −0.357986 | + | 0.403474i | −0.0188675 | + | 0.0212650i | ||||
\(361\) | 13.9961 | + | 4.71584i | 0.736637 | + | 0.248202i | ||||
\(362\) | 0.319623 | − | 5.89511i | 0.0167990 | − | 0.309840i | ||||
\(363\) | −0.286829 | − | 2.28965i | −0.0150546 | − | 0.120176i | ||||
\(364\) | 0.230733 | − | 0.303525i | 0.0120937 | − | 0.0159090i | ||||
\(365\) | −0.674560 | − | 0.994902i | −0.0353081 | − | 0.0520756i | ||||
\(366\) | −2.19433 | + | 3.35272i | −0.114700 | + | 0.175250i | ||||
\(367\) | −19.5554 | − | 20.6444i | −1.02078 | − | 1.07763i | −0.996960 | − | 0.0779131i | \(-0.975174\pi\) |
−0.0238245 | − | 0.999716i | \(-0.507584\pi\) | |||||||
\(368\) | −17.0460 | − | 20.0681i | −0.888586 | − | 1.04612i | ||||
\(369\) | −6.64889 | + | 22.0866i | −0.346127 | + | 1.14978i | ||||
\(370\) | −0.121976 | + | 0.179901i | −0.00634121 | + | 0.00935259i | ||||
\(371\) | 2.93552 | + | 8.71231i | 0.152405 | + | 0.452321i | ||||
\(372\) | −10.4258 | − | 4.61879i | −0.540552 | − | 0.239473i | ||||
\(373\) | −4.94299 | + | 30.1509i | −0.255938 | + | 1.56115i | 0.475791 | + | 0.879559i | \(0.342162\pi\) |
−0.731729 | + | 0.681596i | \(0.761286\pi\) | |||||||
\(374\) | −1.58459 | + | 0.631358i | −0.0819372 | + | 0.0326468i | ||||
\(375\) | −0.438711 | − | 2.42760i | −0.0226550 | − | 0.125361i | ||||
\(376\) | 0.0928305 | + | 1.71216i | 0.00478737 | + | 0.0882978i | ||||
\(377\) | 0.149264 | − | 0.537601i | 0.00768749 | − | 0.0276878i | ||||
\(378\) | −1.21629 | + | 0.914493i | −0.0625594 | + | 0.0470364i | ||||
\(379\) | −12.3674 | − | 2.72227i | −0.635270 | − | 0.139834i | −0.114352 | − | 0.993440i | \(-0.536479\pi\) |
−0.520918 | + | 0.853607i | \(0.674410\pi\) | |||||||
\(380\) | 0.119611 | + | 0.543399i | 0.00613592 | + | 0.0278758i | ||||
\(381\) | 18.5997 | + | 4.83924i | 0.952893 | + | 0.247922i | ||||
\(382\) | −0.400311 | − | 2.44179i | −0.0204817 | − | 0.124933i | ||||
\(383\) | 5.88982 | + | 9.78896i | 0.300956 | + | 0.500193i | 0.970024 | − | 0.243008i | \(-0.0781342\pi\) |
−0.669068 | + | 0.743201i | \(0.733307\pi\) | |||||||
\(384\) | 15.4874 | + | 2.28060i | 0.790340 | + | 0.116381i | ||||
\(385\) | −0.396542 | + | 0.0650097i | −0.0202096 | + | 0.00331320i | ||||
\(386\) | −6.17777 | + | 2.85814i | −0.314440 | + | 0.145475i | ||||
\(387\) | 5.09584 | − | 2.22537i | 0.259036 | − | 0.113122i | ||||
\(388\) | −1.39792 | + | 6.35081i | −0.0709686 | + | 0.322414i | ||||
\(389\) | 12.4534 | − | 26.9177i | 0.631414 | − | 1.36478i | −0.282655 | − | 0.959222i | \(-0.591215\pi\) |
0.914069 | − | 0.405558i | \(-0.132923\pi\) | |||||||
\(390\) | −0.0145345 | + | 0.0102042i | −0.000735983 | + | 0.000516709i | ||||
\(391\) | −13.1816 | + | 0.714688i | −0.666625 | + | 0.0361433i | ||||
\(392\) | −5.04030 | + | 5.93390i | −0.254574 | + | 0.299707i | ||||
\(393\) | −5.76975 | + | 18.0929i | −0.291045 | + | 0.912668i | ||||
\(394\) | −5.59054 | − | 0.916522i | −0.281647 | − | 0.0461737i | ||||
\(395\) | −1.64809 | + | 0.457591i | −0.0829246 | + | 0.0230239i | ||||
\(396\) | −8.78604 | − | 15.3425i | −0.441515 | − | 0.770992i | ||||
\(397\) | 25.3694 | + | 17.2009i | 1.27326 | + | 0.863289i | 0.995256 | − | 0.0972926i | \(-0.0310183\pi\) |
0.278000 | + | 0.960581i | \(0.410329\pi\) | |||||||
\(398\) | 0.506934 | − | 0.956178i | 0.0254103 | − | 0.0479289i | ||||
\(399\) | 0.0525575 | + | 3.22565i | 0.00263116 | + | 0.161485i | ||||
\(400\) | −12.2316 | + | 11.5864i | −0.611578 | + | 0.579318i | ||||
\(401\) | −26.7448 | + | 2.90868i | −1.33557 | + | 0.145252i | −0.747881 | − | 0.663832i | \(-0.768929\pi\) |
−0.587692 | + | 0.809085i | \(0.699963\pi\) | |||||||
\(402\) | 2.54347 | + | 0.234761i | 0.126857 | + | 0.0117088i | ||||
\(403\) | −0.614250 | − | 0.466941i | −0.0305980 | − | 0.0232600i | ||||
\(404\) | −10.1837 | − | 9.64648i | −0.506657 | − | 0.479931i | ||||
\(405\) | −1.21264 | + | 0.423501i | −0.0602567 | + | 0.0210439i | ||||
\(406\) | 0.234866 | − | 0.697057i | 0.0116562 | − | 0.0345944i | ||||
\(407\) | −8.86087 | − | 11.6563i | −0.439217 | − | 0.577780i | ||||
\(408\) | 2.64536 | − | 2.58887i | 0.130965 | − | 0.128168i | ||||
\(409\) | 23.7881 | − | 12.6117i | 1.17625 | − | 0.623607i | 0.238574 | − | 0.971124i | \(-0.423320\pi\) |
0.937673 | + | 0.347518i | \(0.112975\pi\) | |||||||
\(410\) | −0.131353 | + | 0.329672i | −0.00648708 | + | 0.0162813i | ||||
\(411\) | −19.0327 | + | 6.76007i | −0.938811 | + | 0.333450i | ||||
\(412\) | − | 7.08976i | − | 0.349287i | ||||||
\(413\) | −1.46588 | − | 6.79932i | −0.0721314 | − | 0.334573i | ||||
\(414\) | 1.46365 | + | 7.40738i | 0.0719344 | + | 0.364053i | ||||
\(415\) | −0.662166 | + | 1.10053i | −0.0325045 | + | 0.0540228i | ||||
\(416\) | 0.745753 | + | 0.297135i | 0.0365635 | + | 0.0145682i | ||||
\(417\) | −1.80723 | + | 8.89848i | −0.0885006 | + | 0.435760i | ||||
\(418\) | 2.05622 | + | 0.223628i | 0.100573 | + | 0.0109380i | ||||
\(419\) | 20.7951 | − | 15.8080i | 1.01591 | − | 0.772271i | 0.0419754 | − | 0.999119i | \(-0.486635\pi\) |
0.973930 | + | 0.226847i | \(0.0728418\pi\) | |||||||
\(420\) | 0.359932 | − | 0.224631i | 0.0175629 | − | 0.0109609i | ||||
\(421\) | 26.2414 | + | 1.42277i | 1.27893 | + | 0.0693415i | 0.681045 | − | 0.732242i | \(-0.261526\pi\) |
0.597883 | + | 0.801583i | \(0.296009\pi\) | |||||||
\(422\) | 1.80167 | − | 1.90200i | 0.0877038 | − | 0.0925877i | ||||
\(423\) | −1.79405 | + | 3.66793i | −0.0872298 | + | 0.178341i | ||||
\(424\) | −10.5865 | + | 7.17779i | −0.514124 | + | 0.348584i | ||||
\(425\) | 0.913267 | + | 8.39735i | 0.0442999 | + | 0.407331i | ||||
\(426\) | 0.000438043 | 0.00620683i | 2.12233e−5 | 0.000300722i | ||||||
\(427\) | 4.93693 | − | 4.19347i | 0.238915 | − | 0.202936i | ||||
\(428\) | −13.6691 | − | 7.24691i | −0.660722 | − | 0.350293i | ||||
\(429\) | −0.338785 | − | 1.14734i | −0.0163567 | − | 0.0553942i | ||||
\(430\) | 0.0810735 | − | 0.0273168i | 0.00390971 | − | 0.00131733i | ||||
\(431\) | −0.755849 | − | 2.72232i | −0.0364080 | − | 0.131130i | 0.943113 | − | 0.332473i | \(-0.107883\pi\) |
−0.979521 | + | 0.201343i | \(0.935469\pi\) | |||||||
\(432\) | 13.9393 | + | 10.7132i | 0.670655 | + | 0.515438i | ||||
\(433\) | −11.0665 | − | 27.7748i | −0.531821 | − | 1.33477i | −0.912126 | − | 0.409910i | \(-0.865560\pi\) |
0.380305 | − | 0.924861i | \(-0.375819\pi\) | |||||||
\(434\) | −0.775287 | − | 0.658535i | −0.0372150 | − | 0.0316107i | ||||
\(435\) | 0.367635 | − | 0.500330i | 0.0176268 | − | 0.0239890i | ||||
\(436\) | 26.0941 | + | 7.24498i | 1.24968 | + | 0.346972i | ||||
\(437\) | 14.5278 | + | 6.72129i | 0.694961 | + | 0.321523i | ||||
\(438\) | 3.70884 | − | 2.91593i | 0.177215 | − | 0.139329i | ||||
\(439\) | 28.1886 | − | 6.20477i | 1.34537 | − | 0.296138i | 0.516838 | − | 0.856083i | \(-0.327109\pi\) |
0.828529 | + | 0.559946i | \(0.189178\pi\) | |||||||
\(440\) | −0.234737 | − | 0.507376i | −0.0111907 | − | 0.0241882i | ||||
\(441\) | −17.3673 | + | 6.48910i | −0.827015 | + | 0.309005i | ||||
\(442\) | 0.104419 | − | 0.0628270i | 0.00496672 | − | 0.00298838i | ||||
\(443\) | 16.4283 | − | 9.88458i | 0.780532 | − | 0.469630i | −0.0687087 | − | 0.997637i | \(-0.521888\pi\) |
0.849240 | + | 0.528006i | \(0.177060\pi\) | |||||||
\(444\) | 13.3747 | + | 7.75336i | 0.634735 | + | 0.367958i | ||||
\(445\) | −1.06712 | − | 2.30655i | −0.0505864 | − | 0.109341i | ||||
\(446\) | −6.05061 | + | 1.33184i | −0.286505 | + | 0.0630645i | ||||
\(447\) | −15.3025 | − | 19.4636i | −0.723784 | − | 0.920596i | ||||
\(448\) | −4.60068 | − | 2.12850i | −0.217362 | − | 0.100562i | ||||
\(449\) | −21.8771 | − | 6.07415i | −1.03244 | − | 0.286657i | −0.290328 | − | 0.956927i | \(-0.593764\pi\) |
−0.742117 | + | 0.670270i | \(0.766178\pi\) | |||||||
\(450\) | 4.68207 | − | 1.19177i | 0.220715 | − | 0.0561805i | ||||
\(451\) | −18.2203 | − | 15.4764i | −0.857959 | − | 0.728757i | ||||
\(452\) | 8.04561 | + | 20.1930i | 0.378434 | + | 0.949797i | ||||
\(453\) | 25.9099 | + | 29.5152i | 1.21735 | + | 1.38674i | ||||
\(454\) | 1.56109 | + | 5.62254i | 0.0732656 | + | 0.263879i | ||||
\(455\) | 0.0272056 | − | 0.00916662i | 0.00127542 | − | 0.000429738i | ||||
\(456\) | −4.30449 | + | 1.27102i | −0.201576 | + | 0.0595211i | ||||
\(457\) | −0.716507 | − | 0.379868i | −0.0335168 | − | 0.0177695i | 0.451566 | − | 0.892238i | \(-0.350866\pi\) |
−0.485083 | + | 0.874468i | \(0.661210\pi\) | |||||||
\(458\) | 6.32311 | − | 5.37090i | 0.295460 | − | 0.250966i | ||||
\(459\) | 8.50522 | − | 2.31308i | 0.396990 | − | 0.107965i | ||||
\(460\) | −0.227611 | − | 2.09285i | −0.0106124 | − | 0.0975797i | ||||
\(461\) | −2.47274 | + | 1.67656i | −0.115167 | + | 0.0780851i | −0.617411 | − | 0.786641i | \(-0.711818\pi\) |
0.502244 | + | 0.864726i | \(0.332508\pi\) | |||||||
\(462\) | −0.364094 | − | 1.53457i | −0.0169392 | − | 0.0713947i | ||||
\(463\) | −12.0735 | + | 12.7459i | −0.561104 | + | 0.592351i | −0.943387 | − | 0.331695i | \(-0.892380\pi\) |
0.382282 | + | 0.924046i | \(0.375138\pi\) | |||||||
\(464\) | −8.48548 | − | 0.460069i | −0.393929 | − | 0.0213582i | ||||
\(465\) | −0.454591 | − | 0.728404i | −0.0210812 | − | 0.0337789i | ||||
\(466\) | −1.86500 | + | 1.41773i | −0.0863944 | + | 0.0656753i | ||||
\(467\) | 27.6344 | + | 3.00542i | 1.27877 | + | 0.139074i | 0.722173 | − | 0.691712i | \(-0.243143\pi\) |
0.556592 | + | 0.830786i | \(0.312109\pi\) | |||||||
\(468\) | 0.796765 | + | 0.980128i | 0.0368305 | + | 0.0453064i | ||||
\(469\) | −3.83590 | − | 1.52836i | −0.177125 | − | 0.0705732i | ||||
\(470\) | −0.0323879 | + | 0.0538292i | −0.00149394 | + | 0.00248295i | ||||
\(471\) | 3.81295 | − | 4.64009i | 0.175692 | − | 0.213804i | ||||
\(472\) | 8.56904 | − | 4.49571i | 0.394422 | − | 0.206932i | ||||
\(473\) | 5.76315i | 0.264990i | ||||||||
\(474\) | −2.24694 | − | 6.32615i | −0.103205 | − | 0.290570i | ||||
\(475\) | 3.79115 | − | 9.51506i | 0.173950 | − | 0.436581i | ||||
\(476\) | −2.57228 | + | 1.36374i | −0.117900 | + | 0.0625068i | ||||
\(477\) | −30.3434 | + | 2.63890i | −1.38933 | + | 0.120827i | ||||
\(478\) | −1.33961 | − | 1.76223i | −0.0612724 | − | 0.0806025i | ||||
\(479\) | 4.87558 | − | 14.4702i | 0.222771 | − | 0.661160i | −0.776738 | − | 0.629824i | \(-0.783127\pi\) |
0.999509 | − | 0.0313363i | \(-0.00997629\pi\) | |||||||
\(480\) | 0.658471 | + | 0.603691i | 0.0300550 | + | 0.0275546i | ||||
\(481\) | 0.759434 | + | 0.719374i | 0.0346272 | + | 0.0328006i | ||||
\(482\) | 2.08766 | + | 1.58700i | 0.0950902 | + | 0.0722857i | ||||
\(483\) | 1.12184 | − | 12.1544i | 0.0510455 | − | 0.553043i | ||||
\(484\) | −2.51038 | + | 0.273020i | −0.114108 | + | 0.0124100i | ||||
\(485\) | −0.355480 | + | 0.336729i | −0.0161415 | + | 0.0152901i | ||||
\(486\) | −1.99315 | − | 4.63071i | −0.0904112 | − | 0.210053i | ||||
\(487\) | −5.17725 | + | 9.76532i | −0.234603 | + | 0.442509i | −0.972661 | − | 0.232228i | \(-0.925398\pi\) |
0.738058 | + | 0.674737i | \(0.235743\pi\) | |||||||
\(488\) | 7.45892 | + | 5.05727i | 0.337650 | + | 0.228932i | ||||
\(489\) | 6.07403 | + | 2.30618i | 0.274677 | + | 0.104289i | ||||
\(490\) | −0.274850 | + | 0.0763116i | −0.0124164 | + | 0.00344741i | ||||
\(491\) | 40.0419 | + | 6.56454i | 1.80707 | + | 0.296253i | 0.968586 | − | 0.248679i | \(-0.0799964\pi\) |
0.838480 | + | 0.544932i | \(0.183445\pi\) | |||||||
\(492\) | 24.0479 | + | 7.66876i | 1.08416 | + | 0.345735i | ||||
\(493\) | −2.75819 | + | 3.24720i | −0.124223 | + | 0.146246i | ||||
\(494\) | −0.147552 | + | 0.00800006i | −0.00663869 | + | 0.000359940i | ||||
\(495\) | 0.100742 | − | 1.32745i | 0.00452803 | − | 0.0596643i | ||||
\(496\) | −4.93452 | + | 10.6658i | −0.221566 | + | 0.478908i | ||||
\(497\) | 0.00216232 | − | 0.00982353i | 9.69934e−5 | − | 0.000440645i | ||||
\(498\) | −4.49174 | − | 2.28842i | −0.201280 | − | 0.102546i | ||||
\(499\) | −18.8054 | + | 8.70031i | −0.841846 | + | 0.389479i | −0.792922 | − | 0.609323i | \(-0.791441\pi\) |
−0.0489239 | + | 0.998803i | \(0.515579\pi\) | |||||||
\(500\) | −2.66403 | + | 0.436745i | −0.119139 | + | 0.0195318i | ||||
\(501\) | −6.50285 | + | 44.1606i | −0.290526 | + | 1.97295i | ||||
\(502\) | 3.56638 | + | 5.92737i | 0.159175 | + | 0.264552i | ||||
\(503\) | −2.37667 | − | 14.4971i | −0.105971 | − | 0.646392i | −0.985386 | − | 0.170336i | \(-0.945515\pi\) |
0.879415 | − | 0.476055i | \(-0.157934\pi\) | |||||||
\(504\) | 2.01187 | + | 2.76861i | 0.0896158 | + | 0.123324i | ||||
\(505\) | −0.227053 | − | 1.03151i | −0.0101037 | − | 0.0459017i | ||||
\(506\) | −7.64273 | − | 1.68229i | −0.339761 | − | 0.0747870i | ||||
\(507\) | −9.74902 | − | 20.2019i | −0.432969 | − | 0.897196i | ||||
\(508\) | 5.62654 | − | 20.2650i | 0.249637 | − | 0.899113i | ||||
\(509\) | −0.848813 | − | 15.6554i | −0.0376230 | − | 0.693915i | −0.955129 | − | 0.296192i | \(-0.904283\pi\) |
0.917506 | − | 0.397723i | \(-0.130199\pi\) | |||||||
\(510\) | 0.133448 | − | 0.0241165i | 0.00590918 | − | 0.00106790i | ||||
\(511\) | −7.08504 | + | 2.82294i | −0.313424 | + | 0.124879i | ||||
\(512\) | 3.35726 | − | 20.4784i | 0.148372 | − | 0.905026i | ||||
\(513\) | −10.4257 | − | 2.35275i | −0.460306 | − | 0.103877i | ||||
\(514\) | 1.39670 | + | 4.14525i | 0.0616057 | + | 0.182839i | ||||
\(515\) | 0.299583 | − | 0.441852i | 0.0132012 | − | 0.0194703i | ||||
\(516\) | −2.34408 | − | 5.61538i | −0.103193 | − | 0.247203i | ||||
\(517\) | −2.73970 | − | 3.22542i | −0.120492 | − | 0.141854i | ||||
\(518\) | 0.948393 | + | 1.00121i | 0.0416700 | + | 0.0439905i | ||||
\(519\) | −28.5177 | − | 18.6646i | −1.25179 | − | 0.819285i | ||||
\(520\) | 0.0224138 | + | 0.0330579i | 0.000982909 | + | 0.00144968i | ||||
\(521\) | 22.0485 | − | 29.0042i | 0.965960 | − | 1.27070i | 0.00329768 | − | 0.999995i | \(-0.498950\pi\) |
0.962663 | − | 0.270704i | \(-0.0872566\pi\) | |||||||
\(522\) | 2.06047 | + | 1.30111i | 0.0901842 | + | 0.0569482i | ||||
\(523\) | 2.07946 | − | 38.3534i | 0.0909284 | − | 1.67708i | −0.496682 | − | 0.867932i | \(-0.665449\pi\) |
0.587611 | − | 0.809144i | \(-0.300069\pi\) | |||||||
\(524\) | 19.6939 | + | 6.63563i | 0.860330 | + | 0.289879i | ||||
\(525\) | −7.80461 | − | 0.295727i | −0.340621 | − | 0.0129066i | ||||
\(526\) | 0.331937 | − | 3.05211i | 0.0144732 | − | 0.133078i | ||||
\(527\) | 2.75983 | + | 5.20559i | 0.120220 | + | 0.226759i | ||||
\(528\) | −15.9574 | + | 8.79604i | −0.694455 | + | 0.382799i | ||||
\(529\) | −32.1873 | − | 19.3665i | −1.39945 | − | 0.842020i | ||||
\(530\) | −0.468610 | −0.0203551 | ||||||||
\(531\) | 23.0357 | + | 0.596762i | 0.999665 | + | 0.0258973i | ||||
\(532\) | 3.53034 | 0.153060 | ||||||||
\(533\) | 1.46344 | + | 0.880525i | 0.0633888 | + | 0.0381398i | ||||
\(534\) | 8.73570 | − | 4.81531i | 0.378031 | − | 0.208379i | ||||
\(535\) | −0.545672 | − | 1.02925i | −0.0235914 | − | 0.0444982i | ||||
\(536\) | 0.621103 | − | 5.71094i | 0.0268276 | − | 0.246675i | ||||
\(537\) | 19.3198 | + | 0.732055i | 0.833713 | + | 0.0315905i | ||||
\(538\) | 6.71235 | + | 2.26166i | 0.289390 | + | 0.0975069i | ||||
\(539\) | 1.04031 | − | 19.1873i | 0.0448091 | − | 0.826456i | ||||
\(540\) | 0.441762 | + | 1.33439i | 0.0190104 | + | 0.0574229i | ||||
\(541\) | 7.00856 | − | 9.21960i | 0.301321 | − | 0.396381i | −0.620368 | − | 0.784311i | \(-0.713017\pi\) |
0.921689 | + | 0.387930i | \(0.126810\pi\) | |||||||
\(542\) | 3.21282 | + | 4.73855i | 0.138002 | + | 0.203538i | ||||
\(543\) | −26.4557 | − | 17.3151i | −1.13532 | − | 0.743061i | ||||
\(544\) | −4.21565 | − | 4.45041i | −0.180745 | − | 0.190810i | ||||
\(545\) | 1.32011 | + | 1.55415i | 0.0565472 | + | 0.0665725i | ||||
\(546\) | 0.0434062 | + | 0.103982i | 0.00185762 | + | 0.00445002i | ||||
\(547\) | −15.1844 | + | 22.3953i | −0.649237 | + | 0.957553i | 0.350542 | + | 0.936547i | \(0.385997\pi\) |
−0.999779 | + | 0.0210060i | \(0.993313\pi\) | |||||||
\(548\) | 7.05734 | + | 20.9454i | 0.301475 | + | 0.894745i | ||||
\(549\) | 9.64047 | + | 19.1725i | 0.411445 | + | 0.818263i | ||||
\(550\) | −0.810105 | + | 4.94142i | −0.0345430 | + | 0.210703i | ||||
\(551\) | 4.79929 | − | 1.91221i | 0.204457 | − | 0.0814630i | ||||
\(552\) | 16.7107 | − | 3.01993i | 0.711255 | − | 0.128537i | ||||
\(553\) | 0.587545 | + | 10.8366i | 0.0249850 | + | 0.460821i | ||||
\(554\) | 1.70177 | − | 6.12921i | 0.0723011 | − | 0.260405i | ||||
\(555\) | 0.505922 | + | 1.04837i | 0.0214752 | + | 0.0445007i | ||||
\(556\) | 9.70422 | + | 2.13606i | 0.411550 | + | 0.0905891i | ||||
\(557\) | −6.88660 | − | 31.2862i | −0.291795 | − | 1.32564i | −0.863156 | − | 0.504938i | \(-0.831515\pi\) |
0.571361 | − | 0.820699i | \(-0.306416\pi\) | |||||||
\(558\) | 2.72623 | − | 1.98108i | 0.115411 | − | 0.0838656i | ||||
\(559\) | −0.0666116 | − | 0.406313i | −0.00281737 | − | 0.0171852i | ||||
\(560\) | −0.225429 | − | 0.374667i | −0.00952613 | − | 0.0158326i | ||||
\(561\) | −1.33086 | + | 9.03781i | −0.0561890 | + | 0.381577i | ||||
\(562\) | −1.42368 | + | 0.233401i | −0.0600545 | + | 0.00984543i | ||||
\(563\) | 32.8911 | − | 15.2170i | 1.38619 | − | 0.641321i | 0.422018 | − | 0.906588i | \(-0.361322\pi\) |
0.964175 | + | 0.265267i | \(0.0854600\pi\) | |||||||
\(564\) | 3.98135 | + | 2.02839i | 0.167645 | + | 0.0854105i | ||||
\(565\) | −0.351846 | + | 1.59845i | −0.0148023 | + | 0.0672474i | ||||
\(566\) | 3.04297 | − | 6.57727i | 0.127906 | − | 0.276463i | ||||
\(567\) | 0.970243 | + | 8.09185i | 0.0407464 | + | 0.339826i | ||||
\(568\) | 0.0139734 | 0.000757618i | 0.000586313 | 3.17889e-5i | ||||||
\(569\) | −25.0415 | + | 29.4811i | −1.04979 | + | 1.23591i | −0.0787778 | + | 0.996892i | \(0.525102\pi\) |
−0.971015 | + | 0.239019i | \(0.923174\pi\) | |||||||
\(570\) | −0.156665 | − | 0.0499597i | −0.00656197 | − | 0.00209258i | ||||
\(571\) | −14.7760 | − | 2.42240i | −0.618356 | − | 0.101374i | −0.155541 | − | 0.987829i | \(-0.549712\pi\) |
−0.462815 | + | 0.886455i | \(0.653161\pi\) | |||||||
\(572\) | −1.26143 | + | 0.350233i | −0.0527429 | + | 0.0146440i | ||||
\(573\) | −12.3889 | − | 4.70381i | −0.517555 | − | 0.196504i | ||||
\(574\) | 1.86367 | + | 1.26360i | 0.0777880 | + | 0.0527416i | ||||
\(575\) | −18.1523 | + | 34.2388i | −0.757001 | + | 1.42786i | ||||
\(576\) | 10.4495 | − | 13.1472i | 0.435395 | − | 0.547800i | ||||
\(577\) | −15.2417 | + | 14.4377i | −0.634522 | + | 0.601051i | −0.935820 | − | 0.352479i | \(-0.885339\pi\) |
0.301298 | + | 0.953530i | \(0.402580\pi\) | |||||||
\(578\) | 4.54060 | − | 0.493820i | 0.188864 | − | 0.0205402i | ||||
\(579\) | −3.35054 | + | 36.3008i | −0.139244 | + | 1.50861i | ||||
\(580\) | −0.540891 | − | 0.411175i | −0.0224593 | − | 0.0170731i | ||||
\(581\) | 5.91631 | + | 5.60423i | 0.245450 | + | 0.232503i | ||||
\(582\) | −1.41658 | − | 1.29873i | −0.0587191 | − | 0.0538341i | ||||
\(583\) | 10.0796 | − | 29.9151i | 0.417454 | − | 1.23896i | ||||
\(584\) | −6.42121 | − | 8.44696i | −0.265712 | − | 0.349538i | ||||
\(585\) | 0.00824039 | + | 0.0947520i | 0.000340698 | + | 0.00391751i | ||||
\(586\) | −5.01813 | + | 2.66044i | −0.207297 | + | 0.109902i | ||||
\(587\) | 4.07042 | − | 10.2160i | 0.168004 | − | 0.421659i | −0.820735 | − | 0.571309i | \(-0.806436\pi\) |
0.988739 | + | 0.149651i | \(0.0478149\pi\) | |||||||
\(588\) | 6.79055 | + | 19.1185i | 0.280038 | + | 0.788432i | ||||
\(589\) | − | 7.14445i | − | 0.294382i | ||||||
\(590\) | 0.352287 | + | 0.0398538i | 0.0145034 | + | 0.00164076i | ||||
\(591\) | −19.2627 | + | 23.4413i | −0.792360 | + | 0.964245i | ||||
\(592\) | 8.21407 | − | 13.6519i | 0.337596 | − | 0.561089i | ||||
\(593\) | 1.45771 | + | 0.580806i | 0.0598611 | + | 0.0238508i | 0.399877 | − | 0.916569i | \(-0.369053\pi\) |
−0.340015 | + | 0.940420i | \(0.610432\pi\) | |||||||
\(594\) | 5.22504 | + | 0.0276351i | 0.214386 | + | 0.00113388i | ||||
\(595\) | −0.217937 | − | 0.0237021i | −0.00893454 | − | 0.000971690i | ||||
\(596\) | −21.5693 | + | 16.3965i | −0.883511 | + | 0.671628i | ||||
\(597\) | −3.06871 | − | 4.91709i | −0.125594 | − | 0.201243i | ||||
\(598\) | 0.558271 | + | 0.0302686i | 0.0228294 | + | 0.00123777i | ||||
\(599\) | 19.9777 | − | 21.0902i | 0.816267 | − | 0.861722i | −0.176185 | − | 0.984357i | \(-0.556376\pi\) |
0.992452 | + | 0.122635i | \(0.0391343\pi\) | |||||||
\(600\) | −2.50840 | − | 10.5723i | −0.102405 | − | 0.431613i | ||||
\(601\) | 4.52798 | − | 3.07005i | 0.184700 | − | 0.125230i | −0.465333 | − | 0.885136i | \(-0.654065\pi\) |
0.650033 | + | 0.759906i | \(0.274755\pi\) | |||||||
\(602\) | −0.0586888 | − | 0.539635i | −0.00239198 | − | 0.0219939i | ||||
\(603\) | 7.91945 | − | 11.1543i | 0.322505 | − | 0.454238i | ||||
\(604\) | 32.7565 | − | 27.8236i | 1.33284 | − | 1.13213i | ||||
\(605\) | −0.167990 | − | 0.0890626i | −0.00682976 | − | 0.00362091i | ||||
\(606\) | 3.97583 | − | 1.17397i | 0.161507 | − | 0.0476894i | ||||
\(607\) | −16.0387 | + | 5.40406i | −0.650990 | + | 0.219344i | −0.625371 | − | 0.780328i | \(-0.715052\pi\) |
−0.0256192 | + | 0.999672i | \(0.508156\pi\) | |||||||
\(608\) | 1.98860 | + | 7.16228i | 0.0806483 | + | 0.290469i | ||||
\(609\) | −2.59888 | − | 2.96050i | −0.105312 | − | 0.119966i | ||||
\(610\) | 0.122208 | + | 0.306720i | 0.00494807 | + | 0.0124187i | ||||
\(611\) | 0.230434 | + | 0.195733i | 0.00932237 | + | 0.00791849i | ||||
\(612\) | −2.37927 | − | 9.34739i | −0.0961764 | − | 0.377846i | ||||
\(613\) | 37.7879 | + | 10.4918i | 1.52624 | + | 0.423758i | 0.926456 | − | 0.376404i | \(-0.122839\pi\) |
0.599784 | + | 0.800162i | \(0.295253\pi\) | |||||||
\(614\) | 5.86621 | + | 2.71400i | 0.236741 | + | 0.109528i | ||||
\(615\) | 1.17468 | + | 1.49410i | 0.0473677 | + | 0.0602480i | ||||
\(616\) | −3.46416 | + | 0.762518i | −0.139575 | + | 0.0307227i | ||||
\(617\) | 2.92093 | + | 6.31348i | 0.117592 | + | 0.254171i | 0.957430 | − | 0.288667i | \(-0.0932119\pi\) |
−0.839838 | + | 0.542838i | \(0.817350\pi\) | |||||||
\(618\) | 1.81271 | + | 1.05083i | 0.0729179 | + | 0.0422708i | ||||
\(619\) | −1.59031 | + | 0.956859i | −0.0639200 | + | 0.0384594i | −0.547155 | − | 0.837031i | \(-0.684289\pi\) |
0.483235 | + | 0.875491i | \(0.339462\pi\) | |||||||
\(620\) | −0.805102 | + | 0.484414i | −0.0323337 | + | 0.0194545i | ||||
\(621\) | 38.2525 | + | 13.1144i | 1.53502 | + | 0.526264i | ||||
\(622\) | 1.64192 | + | 3.54895i | 0.0658350 | + | 0.142300i | ||||
\(623\) | −15.7482 | + | 3.46643i | −0.630936 | + | 0.138880i | ||||
\(624\) | 1.02336 | − | 0.804576i | 0.0409671 | − | 0.0322088i | ||||
\(625\) | 22.4125 | + | 10.3691i | 0.896499 | + | 0.414765i | ||||
\(626\) | −0.194324 | − | 0.0539539i | −0.00776677 | − | 0.00215643i | ||||
\(627\) | 6.55912 | − | 8.92658i | 0.261946 | − | 0.356493i | ||||
\(628\) | −5.00906 | − | 4.25474i | −0.199883 | − | 0.169783i | ||||
\(629\) | −2.95662 | − | 7.42056i | −0.117888 | − | 0.295877i | ||||
\(630\) | 0.00408498 | + | 0.125322i | 0.000162749 | + | 0.00499295i | ||||
\(631\) | 5.54998 | + | 19.9892i | 0.220941 | + | 0.795758i | 0.988036 | + | 0.154224i | \(0.0492878\pi\) |
−0.767095 | + | 0.641534i | \(0.778298\pi\) | |||||||
\(632\) | −14.3081 | + | 4.82094i | −0.569144 | + | 0.191767i | ||||
\(633\) | −3.97341 | − | 13.4565i | −0.157929 | − | 0.534848i | ||||
\(634\) | −1.29926 | − | 0.688825i | −0.0516003 | − | 0.0273567i | ||||
\(635\) | 1.20697 | − | 1.02521i | 0.0478972 | − | 0.0406843i | ||||
\(636\) | 2.34644 | + | 33.2478i | 0.0930426 | + | 1.31836i | ||||
\(637\) | 0.148427 | + | 1.36477i | 0.00588090 | + | 0.0540740i | ||||
\(638\) | −2.09047 | + | 1.41737i | −0.0827625 | + | 0.0561144i | ||||
\(639\) | 0.0299351 | + | 0.0146418i | 0.00118421 | + | 0.000579221i | ||||
\(640\) | 0.887068 | − | 0.936466i | 0.0350644 | − | 0.0370171i | ||||
\(641\) | −38.5829 | − | 2.09190i | −1.52393 | − | 0.0826252i | −0.726976 | − | 0.686663i | \(-0.759075\pi\) |
−0.796956 | + | 0.604038i | \(0.793558\pi\) | |||||||
\(642\) | 3.87891 | − | 2.42080i | 0.153089 | − | 0.0955413i | ||||
\(643\) | 32.1740 | − | 24.4581i | 1.26882 | − | 0.964532i | 0.268821 | − | 0.963190i | \(-0.413366\pi\) |
0.999999 | − | 0.00134166i | \(-0.000427064\pi\) | |||||||
\(644\) | −13.2789 | − | 1.44417i | −0.523263 | − | 0.0569083i | ||||
\(645\) | 0.0911927 | − | 0.449016i | 0.00359071 | − | 0.0176800i | ||||
\(646\) | 1.04825 | + | 0.417660i | 0.0412428 | + | 0.0164326i | ||||
\(647\) | −13.4599 | + | 22.3705i | −0.529162 | + | 0.879475i | −0.999996 | − | 0.00274723i | \(-0.999126\pi\) |
0.470834 | + | 0.882222i | \(0.343953\pi\) | |||||||
\(648\) | −10.4862 | + | 4.31237i | −0.411936 | + | 0.169406i | ||||
\(649\) | −10.1217 | + | 21.6321i | −0.397312 | + | 0.849134i | ||||
\(650\) | − | 0.357743i | − | 0.0140318i | ||||||
\(651\) | −5.13364 | + | 1.82338i | −0.201203 | + | 0.0714639i | ||||
\(652\) | 2.63163 | − | 6.60490i | 0.103063 | − | 0.258668i | ||||
\(653\) | 2.07815 | − | 1.10176i | 0.0813241 | − | 0.0431153i | −0.427250 | − | 0.904134i | \(-0.640518\pi\) |
0.508574 | + | 0.861018i | \(0.330173\pi\) | |||||||
\(654\) | −5.72003 | + | 5.59790i | −0.223671 | + | 0.218895i | ||||
\(655\) | 0.946978 | + | 1.24573i | 0.0370015 | + | 0.0486746i | ||||
\(656\) | 8.30610 | − | 24.6516i | 0.324299 | − | 0.962484i | ||||
\(657\) | −3.54873 | − | 25.0166i | −0.138449 | − | 0.975989i | ||||
\(658\) | 0.289379 | + | 0.274115i | 0.0112812 | + | 0.0106861i | ||||
\(659\) | −26.0932 | − | 19.8355i | −1.01645 | − | 0.772682i | −0.0424160 | − | 0.999100i | \(-0.513505\pi\) |
−0.974030 | + | 0.226418i | \(0.927299\pi\) | |||||||
\(660\) | −1.45066 | − | 0.133895i | −0.0564667 | − | 0.00521184i | ||||
\(661\) | 6.78606 | − | 0.738029i | 0.263947 | − | 0.0287060i | 0.0248116 | − | 0.999692i | \(-0.492101\pi\) |
0.239136 | + | 0.970986i | \(0.423136\pi\) | |||||||
\(662\) | 2.42164 | − | 2.29390i | 0.0941198 | − | 0.0891550i | ||||
\(663\) | −0.0106326 | − | 0.652565i | −0.000412937 | − | 0.0253435i | ||||
\(664\) | −5.31057 | + | 10.0168i | −0.206090 | + | 0.388727i | ||||
\(665\) | 0.220020 | + | 0.149177i | 0.00853202 | + | 0.00578485i | ||||
\(666\) | −3.96476 | + | 2.27045i | −0.153631 | + | 0.0879783i | ||||
\(667\) | −18.8341 | + | 5.22927i | −0.729261 | + | 0.202478i | ||||
\(668\) | 48.2032 | + | 7.90251i | 1.86504 | + | 0.305757i | ||||
\(669\) | −10.0809 | + | 31.6120i | −0.389751 | + | 1.22219i | ||||
\(670\) | 0.136255 | − | 0.160412i | 0.00526399 | − | 0.00619725i | ||||
\(671\) | −22.2090 | + | 1.20414i | −0.857370 | + | 0.0464853i | ||||
\(672\) | 4.63893 | − | 3.25684i | 0.178951 | − | 0.125635i | ||||
\(673\) | −15.5451 | + | 33.6002i | −0.599220 | + | 1.29519i | 0.336245 | + | 0.941775i | \(0.390843\pi\) |
−0.935465 | + | 0.353419i | \(0.885019\pi\) | |||||||
\(674\) | −1.89934 | + | 8.62878i | −0.0731598 | + | 0.332368i | ||||
\(675\) | 7.05404 | − | 24.8948i | 0.271510 | − | 0.958202i | ||||
\(676\) | −22.2780 | + | 10.3069i | −0.856848 | + | 0.396420i | ||||
\(677\) | −27.7240 | + | 4.54512i | −1.06552 | + | 0.174683i | −0.668940 | − | 0.743316i | \(-0.733252\pi\) |
−0.396581 | + | 0.918000i | \(0.629803\pi\) | |||||||
\(678\) | −6.35545 | − | 0.935871i | −0.244080 | − | 0.0359419i | ||||
\(679\) | 1.60170 | + | 2.66204i | 0.0614674 | + | 0.102160i | ||||
\(680\) | −0.0493416 | − | 0.300971i | −0.00189217 | − | 0.0115417i | ||||
\(681\) | 30.2444 | + | 7.86892i | 1.15897 | + | 0.301538i | ||||
\(682\) | 0.750847 | + | 3.41113i | 0.0287514 | + | 0.130619i | ||||
\(683\) | 1.06173 | + | 0.233705i | 0.0406261 | + | 0.00894249i | 0.235237 | − | 0.971938i | \(-0.424413\pi\) |
−0.194611 | + | 0.980881i | \(0.562344\pi\) | |||||||
\(684\) | −2.76018 | + | 11.3655i | −0.105538 | + | 0.434572i | ||||
\(685\) | −0.445234 | + | 1.60359i | −0.0170115 | + | 0.0612699i | ||||
\(686\) | 0.208969 | + | 3.85420i | 0.00797847 | + | 0.147154i | ||||
\(687\) | −7.90162 | − | 43.7235i | −0.301465 | − | 1.66815i | ||||
\(688\) | −5.82577 | + | 2.32120i | −0.222105 | + | 0.0884948i | ||||
\(689\) | −0.364865 | + | 2.22558i | −0.0139002 | + | 0.0847877i | ||||
\(690\) | 0.568837 | + | 0.252004i | 0.0216553 | + | 0.00959363i | ||||
\(691\) | 4.26059 | + | 12.6450i | 0.162081 | + | 0.481038i | 0.997663 | − | 0.0683270i | \(-0.0217661\pi\) |
−0.835582 | + | 0.549365i | \(0.814870\pi\) | |||||||
\(692\) | −20.9306 | + | 30.8704i | −0.795663 | + | 1.17352i | ||||
\(693\) | −8.08819 | − | 2.43484i | −0.307245 | − | 0.0924921i | ||||
\(694\) | −5.58369 | − | 6.57363i | −0.211954 | − | 0.249532i | ||||
\(695\) | 0.514531 | + | 0.543184i | 0.0195173 | + | 0.0206041i | ||||
\(696\) | 3.00133 | − | 4.58573i | 0.113765 | − | 0.173822i | ||||
\(697\) | −7.31899 | − | 10.7947i | −0.277227 | − | 0.408879i | ||||
\(698\) | −3.87163 | + | 5.09305i | −0.146543 | + | 0.192775i | ||||
\(699\) | 1.55954 | + | 12.4492i | 0.0589873 | + | 0.470873i | ||||
\(700\) | −0.462716 | + | 8.53429i | −0.0174890 | + | 0.322566i | ||||
\(701\) | −15.0522 | − | 5.07166i | −0.568512 | − | 0.191554i | 0.0203424 | − | 0.999793i | \(-0.493524\pi\) |
−0.588855 | + | 0.808239i | \(0.700421\pi\) | |||||||
\(702\) | −0.368695 | + | 0.0584437i | −0.0139155 | + | 0.00220582i | ||||
\(703\) | −1.04724 | + | 9.62919i | −0.0394973 | + | 0.363172i | ||||
\(704\) | 8.15308 | + | 15.3783i | 0.307281 | + | 0.579593i | ||||
\(705\) | 0.162417 | + | 0.294649i | 0.00611698 | + | 0.0110971i | ||||
\(706\) | −0.126399 | − | 0.0760519i | −0.00475710 | − | 0.00286225i | ||||
\(707\) | −6.70151 | −0.252036 | ||||||||
\(708\) | 1.06364 | − | 25.1943i | 0.0399739 | − | 0.946860i | ||||
\(709\) | 2.21963 | 0.0833598 | 0.0416799 | − | 0.999131i | \(-0.486729\pi\) | ||||
0.0416799 | + | 0.999131i | \(0.486729\pi\) | |||||||
\(710\) | 0.000439316 | 0 | 0.000264328i | 1.64872e−5 | 0 | 9.92004e-6i | ||||
\(711\) | −35.3467 | − | 6.58102i | −1.32560 | − | 0.246807i | ||||
\(712\) | −10.5082 | − | 19.8205i | −0.393811 | − | 0.742806i | ||||
\(713\) | −2.92260 | + | 26.8729i | −0.109452 | + | 1.00640i | ||||
\(714\) | 0.0325795 | − | 0.859812i | 0.00121926 | − | 0.0321777i | ||||
\(715\) | −0.0934147 | − | 0.0314751i | −0.00349351 | − | 0.00117710i | ||||
\(716\) | 1.14542 | − | 21.1261i | 0.0428065 | − | 0.789520i | ||||
\(717\) | −11.7632 | + | 1.47361i | −0.439306 | + | 0.0550328i | ||||
\(718\) | −2.54379 | + | 3.34630i | −0.0949334 | + | 0.124883i | ||||
\(719\) | −17.3758 | − | 25.6275i | −0.648010 | − | 0.955743i | −0.999807 | − | 0.0196666i | \(-0.993740\pi\) |
0.351797 | − | 0.936076i | \(-0.385571\pi\) | |||||||
\(720\) | 1.38245 | − | 0.432813i | 0.0515207 | − | 0.0161300i | ||||
\(721\) | −2.32934 | − | 2.45905i | −0.0867491 | − | 0.0915799i | ||||
\(722\) | 3.09224 | + | 3.64046i | 0.115081 | + | 0.135484i | ||||
\(723\) | 12.9606 | − | 5.41025i | 0.482008 | − | 0.201209i | ||||
\(724\) | −19.4173 | + | 28.6383i | −0.721637 | + | 1.06433i | ||||
\(725\) | 3.99357 | + | 11.8525i | 0.148317 | + | 0.440190i | ||||
\(726\) | 0.302279 | − | 0.682321i | 0.0112186 | − | 0.0253233i | ||||
\(727\) | −3.17922 | + | 19.3924i | −0.117911 | + | 0.719224i | 0.860015 | + | 0.510270i | \(0.170454\pi\) |
−0.977925 | + | 0.208955i | \(0.932994\pi\) | |||||||
\(728\) | 0.235416 | − | 0.0937984i | 0.00872511 | − | 0.00347640i | ||||
\(729\) | −26.8093 | − | 3.20297i | −0.992939 | − | 0.118629i | ||||
\(730\) | −0.0210462 | − | 0.388175i | −0.000778955 | − | 0.0143670i | ||||
\(731\) | −0.841134 | + | 3.02949i | −0.0311105 | + | 0.112050i | ||||
\(732\) | 21.1498 | − | 10.2065i | 0.781720 | − | 0.377243i | ||||
\(733\) | −2.72454 | − | 0.599718i | −0.100633 | − | 0.0221511i | 0.164368 | − | 0.986399i | \(-0.447441\pi\) |
−0.265002 | + | 0.964248i | \(0.585372\pi\) | |||||||
\(734\) | −1.97696 | − | 8.98143i | −0.0729710 | − | 0.331511i | ||||
\(735\) | −0.384661 | + | 1.47845i | −0.0141884 | + | 0.0545335i | ||||
\(736\) | −4.54995 | − | 27.7535i | −0.167713 | − | 1.02301i | ||||
\(737\) | 7.30960 | + | 12.1486i | 0.269253 | + | 0.447501i | ||||
\(738\) | −5.52511 | + | 5.01193i | −0.203382 | + | 0.184492i | ||||
\(739\) | 4.04164 | − | 0.662593i | 0.148674 | − | 0.0243739i | −0.0869852 | − | 0.996210i | \(-0.527723\pi\) |
0.235659 | + | 0.971836i | \(0.424275\pi\) | |||||||
\(740\) | 1.15611 | − | 0.534874i | 0.0424995 | − | 0.0196623i | ||||
\(741\) | −0.359255 | + | 0.705153i | −0.0131976 | + | 0.0259044i | ||||
\(742\) | −0.639167 | + | 2.90376i | −0.0234645 | + | 0.106601i | ||||
\(743\) | 15.0777 | − | 32.5899i | 0.553147 | − | 1.19561i | −0.406305 | − | 0.913737i | \(-0.633183\pi\) |
0.959452 | − | 0.281871i | \(-0.0909549\pi\) | |||||||
\(744\) | −4.35499 | − | 6.20310i | −0.159662 | − | 0.227417i | ||||
\(745\) | −2.03710 | + | 0.110448i | −0.0746335 | + | 0.00404651i | ||||
\(746\) | −6.39697 | + | 7.53109i | −0.234210 | + | 0.275733i | ||||
\(747\) | −22.6678 | + | 14.6653i | −0.829371 | + | 0.536574i | ||||
\(748\) | 9.86516 | + | 1.61731i | 0.360706 | + | 0.0591347i | ||||
\(749\) | −7.12205 | + | 1.97743i | −0.260234 | + | 0.0722536i | ||||
\(750\) | 0.283191 | − | 0.745873i | 0.0103407 | − | 0.0272354i | ||||
\(751\) | 10.0404 | + | 6.80758i | 0.366381 | + | 0.248412i | 0.730460 | − | 0.682956i | \(-0.239306\pi\) |
−0.364079 | + | 0.931368i | \(0.618616\pi\) | |||||||
\(752\) | 2.15701 | − | 4.06856i | 0.0786582 | − | 0.148365i | ||||
\(753\) | 37.0429 | − | 0.603562i | 1.34992 | − | 0.0219950i | ||||
\(754\) | 0.131000 | − | 0.124090i | 0.00477073 | − | 0.00451908i | ||||
\(755\) | 3.21718 | − | 0.349889i | 0.117085 | − | 0.0127338i | ||||
\(756\) | 8.87114 | − | 0.917348i | 0.322640 | − | 0.0333636i | ||||
\(757\) | −5.90592 | − | 4.48956i | −0.214654 | − | 0.163176i | 0.492322 | − | 0.870413i | \(-0.336148\pi\) |
−0.706976 | + | 0.707237i | \(0.749941\pi\) | |||||||
\(758\) | −2.97329 | − | 2.81645i | −0.107995 | − | 0.102298i | ||||
\(759\) | −28.3229 | + | 30.8930i | −1.02806 | + | 1.12134i | ||||
\(760\) | −0.118085 | + | 0.350464i | −0.00428340 | + | 0.0127127i | ||||
\(761\) | 31.7738 | + | 41.7977i | 1.15180 | + | 1.51517i | 0.820506 | + | 0.571639i | \(0.193692\pi\) |
0.331294 | + | 0.943528i | \(0.392515\pi\) | |||||||
\(762\) | 4.34739 | + | 4.44224i | 0.157489 | + | 0.160925i | ||||
\(763\) | 11.4310 | − | 6.06031i | 0.413828 | − | 0.219398i | ||||
\(764\) | −5.36763 | + | 13.4717i | −0.194194 | + | 0.487390i | ||||
\(765\) | 0.246698 | − | 0.683091i | 0.00891940 | − | 0.0246972i | ||||
\(766\) | 3.69470i | 0.133495i | ||||||||
\(767\) | 0.463573 | − | 1.64209i | 0.0167387 | − | 0.0592925i | ||||
\(768\) | −11.0710 | − | 9.09746i | −0.399489 | − | 0.328276i | ||||
\(769\) | −15.7219 | + | 26.1300i | −0.566946 | + | 0.942272i | 0.432233 | + | 0.901762i | \(0.357726\pi\) |
−0.999179 | + | 0.0405097i | \(0.987102\pi\) | |||||||
\(770\) | −0.120727 | − | 0.0481020i | −0.00435070 | − | 0.00173348i | ||||
\(771\) | 22.9580 | + | 4.66264i | 0.826811 | + | 0.167921i | ||||
\(772\) | 39.6594 | + | 4.31322i | 1.42737 | + | 0.155236i | ||||
\(773\) | −15.1472 | + | 11.5146i | −0.544808 | + | 0.414152i | −0.841047 | − | 0.540962i | \(-0.818060\pi\) |
0.296239 | + | 0.955114i | \(0.404267\pi\) | |||||||
\(774\) | 1.78318 | + | 0.232968i | 0.0640950 | + | 0.00837386i | ||||
\(775\) | 17.2711 | + | 0.936409i | 0.620395 | + | 0.0336368i | ||||
\(776\) | −2.97238 | + | 3.13790i | −0.106702 | + | 0.112644i | ||||
\(777\) | 7.18632 | − | 1.70504i | 0.257808 | − | 0.0611678i | ||||
\(778\) | 7.93913 | − | 5.38286i | 0.284632 | − | 0.192985i | ||||
\(779\) | 1.70985 | + | 15.7218i | 0.0612616 | + | 0.563291i | ||||
\(780\) | 0.103822 | − | 0.00732714i | 0.00371741 | − | 0.000262354i | ||||
\(781\) | −0.0263237 | + | 0.0223595i | −0.000941935 | + | 0.000800087i | ||||
\(782\) | −3.77199 | − | 1.99978i | −0.134886 | − | 0.0715121i | ||||
\(783\) | 11.5629 | − | 6.05214i | 0.413225 | − | 0.216286i | ||||
\(784\) | 19.8148 | − | 6.67638i | 0.707671 | − | 0.238442i | ||||
\(785\) | −0.132391 | − | 0.476828i | −0.00472522 | − | 0.0170187i | ||||
\(786\) | −4.61560 | + | 4.05181i | −0.164633 | + | 0.144523i | ||||
\(787\) | −9.06772 | − | 22.7583i | −0.323229 | − | 0.811244i | −0.997359 | − | 0.0726312i | \(-0.976860\pi\) |
0.674130 | − | 0.738613i | \(-0.264519\pi\) | |||||||
\(788\) | 25.3053 | + | 21.4945i | 0.901463 | + | 0.765710i | ||||
\(789\) | −13.2500 | − | 9.73590i | −0.471712 | − | 0.346607i | ||||
\(790\) | −0.533007 | − | 0.147989i | −0.0189636 | − | 0.00526520i | ||||
\(791\) | 9.42498 | + | 4.36046i | 0.335114 | + | 0.155040i | ||||
\(792\) | 0.253587 | − | 11.7486i | 0.00901083 | − | 0.417469i | ||||
\(793\) | 1.55186 | − | 0.341591i | 0.0551082 | − | 0.0121302i | ||||
\(794\) | 4.16226 | + | 8.99658i | 0.147713 | + | 0.319277i | ||||
\(795\) | −1.25868 | + | 2.17124i | −0.0446406 | + | 0.0770060i | ||||
\(796\) | −5.43483 | + | 3.27003i | −0.192632 | + | 0.115903i | ||||
\(797\) | −17.2090 | + | 10.3543i | −0.609573 | + | 0.366768i | −0.786623 | − | 0.617434i | \(-0.788172\pi\) |
0.177050 | + | 0.984202i | \(0.443345\pi\) | |||||||
\(798\) | −0.523263 | + | 0.902639i | −0.0185233 | + | 0.0319531i | ||||
\(799\) | −0.969416 | − | 2.09536i | −0.0342955 | − | 0.0741284i | ||||
\(800\) | −17.5748 | + | 3.86851i | −0.621363 | + | 0.136772i | ||||
\(801\) | 1.15282 | − | 53.4096i | 0.0407327 | − | 1.88713i | ||||
\(802\) | −7.89637 | − | 3.65325i | −0.278830 | − | 0.129001i | ||||
\(803\) | 25.2330 | + | 7.00591i | 0.890454 | + | 0.247233i | ||||
\(804\) | −12.0635 | − | 8.86407i | −0.425446 | − | 0.312612i | ||||
\(805\) | −0.766552 | − | 0.651115i | −0.0270174 | − | 0.0229488i | ||||
\(806\) | −0.0923627 | − | 0.231813i | −0.00325334 | − | 0.00816526i | ||||
\(807\) | 28.5083 | − | 25.0261i | 1.00354 | − | 0.880959i | ||||
\(808\) | −2.49426 | − | 8.98352i | −0.0877478 | − | 0.316039i | ||||
\(809\) | 1.88811 | − | 0.636179i | 0.0663825 | − | 0.0223669i | −0.285914 | − | 0.958255i | \(-0.592297\pi\) |
0.352297 | + | 0.935888i | \(0.385401\pi\) | |||||||
\(810\) | −0.406654 | − | 0.0848311i | −0.0142884 | − | 0.00298066i | ||||
\(811\) | −22.8610 | − | 12.1201i | −0.802758 | − | 0.425595i | 0.0159022 | − | 0.999874i | \(-0.494938\pi\) |
−0.818660 | + | 0.574278i | \(0.805283\pi\) | |||||||
\(812\) | −3.28562 | + | 2.79083i | −0.115303 | + | 0.0979390i | ||||
\(813\) | 30.5850 | − | 2.15852i | 1.07266 | − | 0.0757025i | ||||
\(814\) | −0.511976 | − | 4.70754i | −0.0179447 | − | 0.164999i | ||||
\(815\) | 0.443105 | − | 0.300433i | 0.0155213 | − | 0.0105237i | ||||
\(816\) | −9.67203 | + | 2.29480i | −0.338589 | + | 0.0803340i | ||||
\(817\) | 2.62184 | − | 2.76784i | 0.0917264 | − | 0.0968344i | ||||
\(818\) | 8.69484 | + | 0.471421i | 0.304008 | + | 0.0164828i | ||||
\(819\) | 0.598375 | + | 0.0781763i | 0.0209089 | + | 0.00273170i | ||||
\(820\) | 1.65574 | − | 1.25866i | 0.0578210 | − | 0.0439544i | ||||
\(821\) | 31.8398 | + | 3.46279i | 1.11122 | + | 0.120852i | 0.645266 | − | 0.763958i | \(-0.276746\pi\) |
0.465952 | + | 0.884810i | \(0.345712\pi\) | |||||||
\(822\) | −6.40137 | − | 1.30008i | −0.223273 | − | 0.0453456i | ||||
\(823\) | 11.6212 | + | 4.63033i | 0.405091 | + | 0.161403i | 0.563779 | − | 0.825926i | \(-0.309347\pi\) |
−0.158688 | + | 0.987329i | \(0.550726\pi\) | |||||||
\(824\) | 2.42945 | − | 4.03777i | 0.0846338 | − | 0.140662i | ||||
\(825\) | 20.7195 | + | 17.0261i | 0.721360 | + | 0.592772i | ||||
\(826\) | 0.727463 | − | 2.12861i | 0.0253117 | − | 0.0740637i | ||||
\(827\) | 44.1958i | 1.53684i | 0.639946 | + | 0.768420i | \(0.278957\pi\) | ||||
−0.639946 | + | 0.768420i | \(0.721043\pi\) | |||||||
\(828\) | 15.0314 | − | 41.6208i | 0.522376 | − | 1.44642i | ||||
\(829\) | 1.79623 | − | 4.50821i | 0.0623858 | − | 0.156576i | −0.894479 | − | 0.447110i | \(-0.852453\pi\) |
0.956865 | + | 0.290533i | \(0.0938327\pi\) | |||||||
\(830\) | −0.366992 | + | 0.194567i | −0.0127385 | + | 0.00675352i | ||||
\(831\) | −23.8280 | − | 24.3478i | −0.826583 | − | 0.844617i | ||||
\(832\) | −0.752554 | − | 0.989967i | −0.0260901 | − | 0.0343209i | ||||
\(833\) | 3.34725 | − | 9.93429i | 0.115975 | − | 0.344203i | ||||
\(834\) | −1.98449 | + | 2.16457i | −0.0687174 | + | 0.0749530i | ||||
\(835\) | 2.67022 | + | 2.52937i | 0.0924068 | + | 0.0875323i | ||||
\(836\) | −9.65025 | − | 7.33593i | −0.333761 | − | 0.253718i | ||||
\(837\) | −1.85646 | − | 17.9528i | −0.0641687 | − | 0.620538i | ||||
\(838\) | 8.39836 | − | 0.913377i | 0.290117 | − | 0.0315521i | ||||
\(839\) | −28.4645 | + | 26.9631i | −0.982705 | + | 0.930868i | −0.997615 | − | 0.0690210i | \(-0.978012\pi\) |
0.0149099 | + | 0.999889i | \(0.495254\pi\) | |||||||
\(840\) | 0.281963 | − | 0.00459420i | 0.00972866 | − | 0.000158515i | ||||
\(841\) | 10.6289 | − | 20.0482i | 0.366514 | − | 0.691318i | ||||
\(842\) | 7.03466 | + | 4.76962i | 0.242430 | + | 0.164372i | ||||
\(843\) | −2.74255 | + | 7.22337i | −0.0944585 | + | 0.248786i | ||||
\(844\) | −14.7945 | + | 4.10768i | −0.509249 | + | 0.141392i | ||||
\(845\) | −1.82395 | − | 0.299022i | −0.0627458 | − | 0.0102867i | ||||
\(846\) | −1.10873 | + | 0.717308i | −0.0381189 | + | 0.0246616i | ||||
\(847\) | −0.781013 | + | 0.919480i | −0.0268359 | + | 0.0315937i | ||||
\(848\) | 34.2999 | − | 1.85969i | 1.17786 | − | 0.0638619i | ||||
\(849\) | −22.3016 | − | 31.7656i | −0.765388 | − | 1.09019i | ||||
\(850\) | −1.14705 | + | 2.47930i | −0.0393434 | + | 0.0850394i | ||||
\(851\) | 7.87809 | − | 35.7905i | 0.270057 | − | 1.22688i | ||||
\(852\) | 0.0165543 | − | 0.0324930i | 0.000567140 | − | 0.00111319i | ||||
\(853\) | 23.4094 | − | 10.8303i | 0.801522 | − | 0.370823i | 0.0240256 | − | 0.999711i | \(-0.492352\pi\) |
0.777496 | + | 0.628888i | \(0.216490\pi\) | |||||||
\(854\) | 2.06729 | − | 0.338915i | 0.0707413 | − | 0.0115974i | ||||
\(855\) | −0.652280 | + | 0.591696i | −0.0223075 | + | 0.0202356i | ||||
\(856\) | −5.30157 | − | 8.81127i | −0.181204 | − | 0.301163i | ||||
\(857\) | −2.65602 | − | 16.2010i | −0.0907280 | − | 0.553416i | −0.992602 | − | 0.121416i | \(-0.961256\pi\) |
0.901874 | − | 0.432000i | \(-0.142192\pi\) | |||||||
\(858\) | 0.0974192 | − | 0.374433i | 0.00332584 | − | 0.0127829i | ||||
\(859\) | 3.92469 | + | 17.8300i | 0.133909 | + | 0.608353i | 0.994998 | + | 0.0998988i | \(0.0318519\pi\) |
−0.861089 | + | 0.508454i | \(0.830217\pi\) | |||||||
\(860\) | −0.489673 | − | 0.107785i | −0.0166977 | − | 0.00367545i | ||||
\(861\) | 10.8605 | − | 5.24107i | 0.370125 | − | 0.178615i | ||||
\(862\) | 0.244448 | − | 0.880422i | 0.00832593 | − | 0.0299873i | ||||
\(863\) | 0.873927 | + | 16.1186i | 0.0297488 | + | 0.548685i | 0.974981 | + | 0.222287i | \(0.0713522\pi\) |
−0.945232 | + | 0.326398i | \(0.894165\pi\) | |||||||
\(864\) | 6.85810 | + | 17.4808i | 0.233317 | + | 0.594710i | ||||
\(865\) | −2.60890 | + | 1.03948i | −0.0887053 | + | 0.0353434i | ||||
\(866\) | 1.56433 | − | 9.54197i | 0.0531580 | − | 0.324249i | ||||
\(867\) | 9.90791 | − | 22.3647i | 0.336490 | − | 0.759544i | ||||
\(868\) | 1.90356 | + | 5.64958i | 0.0646112 | + | 0.191759i | ||||
\(869\) | 20.9121 | − | 30.8430i | 0.709393 | − | 1.04628i | ||||
\(870\) | 0.185299 | − | 0.0773514i | 0.00628224 | − | 0.00262246i | ||||
\(871\) | −0.655757 | − | 0.772017i | −0.0222195 | − | 0.0261588i | ||||
\(872\) | 12.3785 | + | 13.0678i | 0.419189 | + | 0.442532i | ||||
\(873\) | −9.82240 | + | 3.07518i | −0.332438 | + | 0.104079i | ||||
\(874\) | 2.90521 | + | 4.28486i | 0.0982701 | + | 0.144938i | ||||
\(875\) | −0.780514 | + | 1.02675i | −0.0263862 | + | 0.0347104i | ||||
\(876\) | −27.4356 | + | 3.43691i | −0.926963 | + | 0.116123i | ||||
\(877\) | 1.28827 | − | 23.7607i | 0.0435017 | − | 0.802342i | −0.892651 | − | 0.450748i | \(-0.851157\pi\) |
0.936153 | − | 0.351594i | \(-0.114360\pi\) | |||||||
\(878\) | 8.84602 | + | 2.98057i | 0.298539 | + | 0.100589i | ||||
\(879\) | −1.15177 | + | 30.3967i | −0.0388484 | + | 1.02526i | ||||
\(880\) | −0.162329 | + | 1.49259i | −0.00547211 | + | 0.0503152i | ||||
\(881\) | 2.93771 | + | 5.54110i | 0.0989738 | + | 0.186684i | 0.928054 | − | 0.372445i | \(-0.121480\pi\) |
−0.829081 | + | 0.559129i | \(0.811136\pi\) | |||||||
\(882\) | −5.89470 | − | 1.09750i | −0.198485 | − | 0.0369549i | ||||
\(883\) | −37.0000 | − | 22.2622i | −1.24515 | − | 0.749181i | −0.268346 | − | 0.963323i | \(-0.586477\pi\) |
−0.976803 | + | 0.214141i | \(0.931305\pi\) | |||||||
\(884\) | −0.714206 | −0.0240213 | ||||||||
\(885\) | 1.13089 | − | 1.52523i | 0.0380146 | − | 0.0512700i | ||||
\(886\) | 6.20062 | 0.208314 | ||||||||
\(887\) | 9.41450 | + | 5.66452i | 0.316108 | + | 0.190196i | 0.664761 | − | 0.747056i | \(-0.268533\pi\) |
−0.348653 | + | 0.937252i | \(0.613361\pi\) | |||||||
\(888\) | 4.96034 | + | 8.99881i | 0.166458 | + | 0.301980i | ||||
\(889\) | −4.70651 | − | 8.87742i | −0.157851 | − | 0.297739i | ||||
\(890\) | 0.0888655 | − | 0.817104i | 0.00297878 | − | 0.0273894i | ||||
\(891\) | 14.1624 | − | 24.1353i | 0.474458 | − | 0.808563i | ||||
\(892\) | 34.4092 | + | 11.5938i | 1.15210 | + | 0.388189i | ||||
\(893\) | −0.151564 | + | 2.79544i | −0.00507190 | + | 0.0935457i | ||||
\(894\) | −0.995300 | − | 7.94510i | −0.0332878 | − | 0.265724i | ||||
\(895\) | 0.964086 | − | 1.26823i | 0.0322258 | − | 0.0423924i | ||||
\(896\) | −4.59293 | − | 6.77407i | −0.153439 | − | 0.226306i | ||||
\(897\) | 1.63975 | − | 2.50538i | 0.0547497 | − | 0.0836521i | ||||
\(898\) | −5.04970 | − | 5.33091i | −0.168511 | − | 0.177895i | ||||
\(899\) | 5.64788 | + | 6.64920i | 0.188367 | + | 0.221763i | ||||
\(900\) | −27.1134 | − | 8.16213i | −0.903779 | − | 0.272071i | ||||
\(901\) | 9.66463 | − | 14.2543i | 0.321975 | − | 0.474878i | ||||
\(902\) | −2.46865 | − | 7.32670i | −0.0821971 | − | 0.243952i | ||||
\(903\) | −2.65797 | − | 1.17752i | −0.0884516 | − | 0.0391855i | ||||
\(904\) | −2.33737 | + | 14.2573i | −0.0777397 | + | 0.474191i | ||||
\(905\) | −2.42027 | + | 0.964323i | −0.0804524 | + | 0.0320552i | ||||
\(906\) | 2.25882 | + | 12.4992i | 0.0750444 | + | 0.415257i | ||||
\(907\) | 0.818565 | + | 15.0976i | 0.0271800 | + | 0.501306i | 0.980152 | + | 0.198248i | \(0.0635250\pi\) |
−0.952972 | + | 0.303058i | \(0.901992\pi\) | |||||||
\(908\) | 9.14911 | − | 32.9521i | 0.303624 | − | 1.09355i | ||||
\(909\) | 5.23953 | − | 21.5747i | 0.173784 | − | 0.715589i | ||||
\(910\) | 0.00906746 | + | 0.00199590i | 0.000300583 | + | 6.61634e-5i | ||||
\(911\) | 1.40050 | + | 6.36252i | 0.0464005 | + | 0.210800i | 0.994117 | − | 0.108315i | \(-0.0345455\pi\) |
−0.947716 | + | 0.319115i | \(0.896614\pi\) | |||||||
\(912\) | 11.6654 | + | 3.03507i | 0.386279 | + | 0.100501i | ||||
\(913\) | −4.52694 | − | 27.6131i | −0.149820 | − | 0.913861i | ||||
\(914\) | −0.135218 | − | 0.224733i | −0.00447260 | − | 0.00743352i | ||||
\(915\) | 1.74939 | + | 0.257607i | 0.0578332 | + | 0.00851621i | ||||
\(916\) | −47.9817 | + | 7.86620i | −1.58536 | + | 0.259907i | ||||
\(917\) | 9.01087 | − | 4.16887i | 0.297565 | − | 0.137668i | ||||
\(918\) | 2.74259 | + | 0.777124i | 0.0905191 | + | 0.0256489i | ||||
\(919\) | −8.90700 | + | 40.4649i | −0.293815 | + | 1.33481i | 0.566083 | + | 0.824348i | \(0.308458\pi\) |
−0.859898 | + | 0.510466i | \(0.829473\pi\) | |||||||
\(920\) | 0.587527 | − | 1.26992i | 0.0193702 | − | 0.0418680i | ||||
\(921\) | 28.3315 | − | 19.8906i | 0.933553 | − | 0.655416i | ||||
\(922\) | −0.964773 | + | 0.0523085i | −0.0317731 | + | 0.00172269i | ||||
\(923\) | 0.00159743 | − | 0.00188064i | 5.25802e−5 | − | 6.19021e-5i | ||||
\(924\) | −2.80833 | + | 8.80643i | −0.0923872 | + | 0.289710i | ||||
\(925\) | −23.1404 | − | 3.79368i | −0.760853 | − | 0.124735i | ||||
\(926\) | −5.47093 | + | 1.51900i | −0.179786 | + | 0.0499173i | ||||
\(927\) | 9.73781 | − | 5.57644i | 0.319832 | − | 0.183154i | ||||
\(928\) | −7.51273 | − | 5.09376i | −0.246617 | − | 0.167211i | ||||
\(929\) | −4.98782 | + | 9.40802i | −0.163645 | + | 0.308667i | −0.951750 | − | 0.306873i | \(-0.900717\pi\) |
0.788105 | + | 0.615540i | \(0.211062\pi\) | |||||||
\(930\) | −0.00452388 | − | 0.277648i | −0.000148344 | − | 0.00910443i | ||||
\(931\) | −9.22853 | + | 8.74173i | −0.302453 | + | 0.286499i | ||||
\(932\) | 13.6494 | − | 1.48446i | 0.447100 | − | 0.0486250i | ||||
\(933\) | 20.8538 | + | 1.92479i | 0.682722 | + | 0.0630149i | ||||
\(934\) | 7.15678 | + | 5.44044i | 0.234177 | + | 0.178017i | ||||
\(935\) | 0.546482 | + | 0.517655i | 0.0178719 | + | 0.0169291i | ||||
\(936\) | 0.117915 | + | 0.831231i | 0.00385416 | + | 0.0271696i | ||||
\(937\) | −1.04829 | + | 3.11120i | −0.0342460 | + | 0.101638i | −0.963413 | − | 0.268023i | \(-0.913630\pi\) |
0.929167 | + | 0.369661i | \(0.120526\pi\) | |||||||
\(938\) | −0.808153 | − | 1.06311i | −0.0263871 | − | 0.0347117i | ||||
\(939\) | −0.771940 | + | 0.755458i | −0.0251913 | + | 0.0246534i | ||||
\(940\) | 0.325292 | − | 0.172459i | 0.0106098 | − | 0.00562498i | ||||
\(941\) | 15.3358 | − | 38.4900i | 0.499933 | − | 1.25474i | −0.435166 | − | 0.900350i | \(-0.643310\pi\) |
0.935099 | − | 0.354387i | \(-0.115310\pi\) | |||||||
\(942\) | 1.83029 | − | 0.650087i | 0.0596340 | − | 0.0211810i | ||||
\(943\) | − | 59.8348i | − | 1.94849i | ||||||
\(944\) | −25.9438 | − | 1.51904i | −0.844399 | − | 0.0494406i | ||||
\(945\) | 0.591636 | + | 0.317685i | 0.0192459 | + | 0.0103343i | ||||
\(946\) | −0.960915 | + | 1.59705i | −0.0312420 | + | 0.0519247i | ||||
\(947\) | −49.5760 | − | 19.7529i | −1.61101 | − | 0.641883i | −0.621115 | − | 0.783719i | \(-0.713320\pi\) |
−0.989890 | + | 0.141836i | \(0.954699\pi\) | |||||||
\(948\) | −7.83090 | + | 38.5579i | −0.254336 | + | 1.25230i | ||||
\(949\) | −1.85995 | − | 0.202282i | −0.0603766 | − | 0.00656635i | ||||
\(950\) | 2.63707 | − | 2.00465i | 0.0855579 | − | 0.0650394i | ||||
\(951\) | −6.68137 | + | 4.16979i | −0.216658 | + | 0.135215i | ||||
\(952\) | −1.93228 | − | 0.104765i | −0.0626256 | − | 0.00339546i | ||||
\(953\) | −29.6062 | + | 31.2549i | −0.959040 | + | 1.01245i | 0.0408715 | + | 0.999164i | \(0.486987\pi\) |
−0.999912 | + | 0.0132821i | \(0.995772\pi\) | |||||||
\(954\) | −8.84860 | − | 4.32801i | −0.286484 | − | 0.140125i | ||||
\(955\) | −0.903783 | + | 0.612780i | −0.0292457 | + | 0.0198291i | ||||
\(956\) | 1.40266 | + | 12.8972i | 0.0453652 | + | 0.417126i | ||||
\(957\) | 0.952257 | + | 13.4930i | 0.0307821 | + | 0.436165i | ||||
\(958\) | 3.76377 | − | 3.19698i | 0.121602 | − | 0.103290i | ||||
\(959\) | 9.32943 | + | 4.94615i | 0.301263 | + | 0.159720i | ||||
\(960\) | −0.391881 | − | 1.32716i | −0.0126479 | − | 0.0428339i | ||||
\(961\) | −17.9441 | + | 6.04606i | −0.578841 | + | 0.195034i | ||||
\(962\) | 0.0905059 | + | 0.325973i | 0.00291803 | + | 0.0105098i | ||||
\(963\) | −0.797772 | − | 24.4747i | −0.0257078 | − | 0.788685i | ||||
\(964\) | −5.68867 | − | 14.2775i | −0.183220 | − | 0.459847i | ||||
\(965\) | 2.28942 | + | 1.94465i | 0.0736990 | + | 0.0626005i | ||||
\(966\) | 2.33743 | − | 3.18110i | 0.0752056 | − | 0.102350i | ||||
\(967\) | −32.7889 | − | 9.10381i | −1.05442 | − | 0.292759i | −0.303281 | − | 0.952901i | \(-0.598082\pi\) |
−0.751140 | + | 0.660142i | \(0.770496\pi\) | |||||||
\(968\) | −1.52327 | − | 0.704740i | −0.0489597 | − | 0.0226512i | ||||
\(969\) | 4.75075 | − | 3.73510i | 0.152616 | − | 0.119989i | ||||
\(970\) | −0.154653 | + | 0.0340417i | −0.00496562 | + | 0.00109301i | ||||
\(971\) | 1.26690 | + | 2.73837i | 0.0406569 | + | 0.0878784i | 0.926840 | − | 0.375458i | \(-0.122514\pi\) |
−0.886183 | + | 0.463336i | \(0.846652\pi\) | |||||||
\(972\) | −3.98255 | + | 29.2768i | −0.127740 | + | 0.939055i | ||||
\(973\) | 4.06767 | − | 2.44743i | 0.130403 | − | 0.0784611i | ||||
\(974\) | −3.06291 | + | 1.84289i | −0.0981419 | + | 0.0590500i | ||||
\(975\) | −1.65756 | − | 0.960890i | −0.0530843 | − | 0.0307731i | ||||
\(976\) | −10.1623 | − | 21.9654i | −0.325286 | − | 0.703094i | ||||
\(977\) | 14.6672 | − | 3.22849i | 0.469245 | − | 0.103289i | 0.0259475 | − | 0.999663i | \(-0.491740\pi\) |
0.443297 | + | 0.896375i | \(0.353809\pi\) | |||||||
\(978\) | 1.29869 | + | 1.65183i | 0.0415274 | + | 0.0528196i | ||||
\(979\) | 50.2509 | + | 23.2486i | 1.60603 | + | 0.743027i | ||||
\(980\) | 1.61082 | + | 0.447241i | 0.0514557 | + | 0.0142866i | ||||
\(981\) | 10.5732 | + | 41.5388i | 0.337578 | + | 1.32623i | ||||
\(982\) | 10.0017 | + | 8.49550i | 0.319166 | + | 0.271102i | ||||
\(983\) | 0.282648 | + | 0.709393i | 0.00901507 | + | 0.0226261i | 0.933415 | − | 0.358798i | \(-0.116813\pi\) |
−0.924400 | + | 0.381424i | \(0.875434\pi\) | |||||||
\(984\) | 11.0680 | + | 12.6080i | 0.352834 | + | 0.401929i | ||||
\(985\) | 0.668824 | + | 2.40889i | 0.0213105 | + | 0.0767535i | ||||
\(986\) | −1.30576 | + | 0.439960i | −0.0415837 | + | 0.0140112i | ||||
\(987\) | 2.04734 | − | 0.604535i | 0.0651676 | − | 0.0192426i | ||||
\(988\) | 0.765151 | + | 0.405657i | 0.0243427 | + | 0.0129057i | ||||
\(989\) | −10.9939 | + | 9.33833i | −0.349587 | + | 0.296942i | ||||
\(990\) | 0.249248 | − | 0.351058i | 0.00792163 | − | 0.0111574i | ||||
\(991\) | 2.63456 | + | 24.2244i | 0.0836896 | + | 0.769513i | 0.958509 | + | 0.285063i | \(0.0920146\pi\) |
−0.874819 | + | 0.484450i | \(0.839020\pi\) | |||||||
\(992\) | −10.3895 | + | 7.04424i | −0.329866 | + | 0.223655i | ||||
\(993\) | −4.12401 | − | 17.3817i | −0.130872 | − | 0.551593i | ||||
\(994\) | 0.00223713 | − | 0.00236171i | 7.09575e−5 | − | 7.49089e-5i | ||||
\(995\) | −0.476890 | − | 0.0258562i | −0.0151184 | − | 0.000819698i | ||||
\(996\) | 15.6421 | + | 25.0638i | 0.495640 | + | 0.794178i | ||||
\(997\) | 18.0940 | − | 13.7547i | 0.573041 | − | 0.435615i | −0.278099 | − | 0.960552i | \(-0.589704\pi\) |
0.851141 | + | 0.524938i | \(0.175911\pi\) | |||||||
\(998\) | −6.66190 | − | 0.724525i | −0.210879 | − | 0.0229344i | ||||
\(999\) | −0.129414 | + | 24.4686i | −0.00409448 | + | 0.774152i |
(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 | 177.2.f.a.38.11 | yes | 504 | |
3.2 | odd | 2 | inner | 177.2.f.a.38.8 | yes | 504 | |
59.14 | odd | 58 | inner | 177.2.f.a.14.8 | ✓ | 504 | |
177.14 | even | 58 | inner | 177.2.f.a.14.11 | yes | 504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.f.a.14.8 | ✓ | 504 | 59.14 | odd | 58 | inner | |
177.2.f.a.14.11 | yes | 504 | 177.14 | even | 58 | inner | |
177.2.f.a.38.8 | yes | 504 | 3.2 | odd | 2 | inner | |
177.2.f.a.38.11 | yes | 504 | 1.1 | even | 1 | trivial |