Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(157,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.157");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.cg (of order \(12\), 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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 157.18 | ||
Character | \(\chi\) | \(=\) | 315.157 |
Dual form | 315.2.cg.e.313.18 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.409914 | + | 0.109836i | −0.289853 | + | 0.0776660i | −0.400816 | − | 0.916159i | \(-0.631273\pi\) |
0.110963 | + | 0.993825i | \(0.464607\pi\) | |||||||
\(3\) | 1.73004 | + | 0.0834602i | 0.998838 | + | 0.0481858i | ||||
\(4\) | −1.57608 | + | 0.909953i | −0.788042 | + | 0.454977i | ||||
\(5\) | 0.861800 | − | 2.06332i | 0.385408 | − | 0.922746i | ||||
\(6\) | −0.718335 | + | 0.155809i | −0.293259 | + | 0.0636089i | ||||
\(7\) | −2.64547 | − | 0.0385118i | −0.999894 | − | 0.0145561i | ||||
\(8\) | 1.14627 | − | 1.14627i | 0.405268 | − | 0.405268i | ||||
\(9\) | 2.98607 | + | 0.288779i | 0.995356 | + | 0.0962596i | ||||
\(10\) | −0.126636 | + | 0.940443i | −0.0400460 | + | 0.297394i | ||||
\(11\) | 4.74328 | 1.43015 | 0.715077 | − | 0.699046i | \(-0.246392\pi\) | ||||
0.715077 | + | 0.699046i | \(0.246392\pi\) | |||||||
\(12\) | −2.80263 | + | 1.44271i | −0.809050 | + | 0.416476i | ||||
\(13\) | 6.02186 | − | 1.61355i | 1.67016 | − | 0.447519i | 0.705009 | − | 0.709199i | \(-0.250943\pi\) |
0.965155 | + | 0.261680i | \(0.0842765\pi\) | |||||||
\(14\) | 1.08865 | − | 0.274782i | 0.290953 | − | 0.0734386i | ||||
\(15\) | 1.66315 | − | 3.49770i | 0.429424 | − | 0.903103i | ||||
\(16\) | 1.47594 | − | 2.55639i | 0.368984 | − | 0.639099i | ||||
\(17\) | 0.411248 | + | 1.53480i | 0.0997422 | + | 0.372243i | 0.997696 | − | 0.0678473i | \(-0.0216131\pi\) |
−0.897954 | + | 0.440090i | \(0.854946\pi\) | |||||||
\(18\) | −1.25575 | + | 0.209604i | −0.295983 | + | 0.0494041i | ||||
\(19\) | −0.399589 | − | 0.692108i | −0.0916720 | − | 0.158781i | 0.816543 | − | 0.577285i | \(-0.195888\pi\) |
−0.908215 | + | 0.418504i | \(0.862554\pi\) | |||||||
\(20\) | 0.519258 | + | 4.03617i | 0.116110 | + | 0.902515i | ||||
\(21\) | −4.57355 | − | 0.287419i | −0.998031 | − | 0.0627199i | ||||
\(22\) | −1.94434 | + | 0.520985i | −0.414535 | + | 0.111074i | ||||
\(23\) | −4.51021 | + | 4.51021i | −0.940444 | + | 0.940444i | −0.998324 | − | 0.0578798i | \(-0.981566\pi\) |
0.0578798 | + | 0.998324i | \(0.481566\pi\) | |||||||
\(24\) | 2.07876 | − | 1.88742i | 0.424325 | − | 0.385269i | ||||
\(25\) | −3.51460 | − | 3.55634i | −0.702921 | − | 0.711268i | ||||
\(26\) | −2.29122 | + | 1.32284i | −0.449345 | + | 0.259430i | ||||
\(27\) | 5.14191 | + | 0.748816i | 0.989562 | + | 0.144110i | ||||
\(28\) | 4.20453 | − | 2.34656i | 0.794582 | − | 0.443458i | ||||
\(29\) | −1.99163 | + | 1.14987i | −0.369836 | + | 0.213525i | −0.673387 | − | 0.739290i | \(-0.735161\pi\) |
0.303551 | + | 0.952815i | \(0.401828\pi\) | |||||||
\(30\) | −0.297576 | + | 1.61643i | −0.0543296 | + | 0.295119i | ||||
\(31\) | −1.92515 | + | 1.11148i | −0.345767 | + | 0.199629i | −0.662819 | − | 0.748779i | \(-0.730640\pi\) |
0.317052 | + | 0.948408i | \(0.397307\pi\) | |||||||
\(32\) | −1.16335 | + | 4.34168i | −0.205653 | + | 0.767509i | ||||
\(33\) | 8.20607 | + | 0.395875i | 1.42849 | + | 0.0689131i | ||||
\(34\) | −0.337153 | − | 0.583966i | −0.0578212 | − | 0.100149i | ||||
\(35\) | −2.35933 | + | 5.42527i | −0.398799 | + | 0.917038i | ||||
\(36\) | −4.96907 | + | 2.26204i | −0.828179 | + | 0.377007i | ||||
\(37\) | 0.936164 | − | 3.49381i | 0.153904 | − | 0.574379i | −0.845292 | − | 0.534304i | \(-0.820574\pi\) |
0.999197 | − | 0.0400750i | \(-0.0127597\pi\) | |||||||
\(38\) | 0.239816 | + | 0.239816i | 0.0389033 | + | 0.0389033i | ||||
\(39\) | 10.5527 | − | 2.28892i | 1.68979 | − | 0.366521i | ||||
\(40\) | −1.37727 | − | 3.35298i | −0.217766 | − | 0.530153i | ||||
\(41\) | −0.00325903 | − | 0.00188160i | −0.000508974 | − | 0.000293856i | 0.499745 | − | 0.866172i | \(-0.333427\pi\) |
−0.500254 | + | 0.865878i | \(0.666760\pi\) | |||||||
\(42\) | 1.90633 | − | 0.384525i | 0.294154 | − | 0.0593335i | ||||
\(43\) | −11.6286 | − | 3.11588i | −1.77335 | − | 0.475167i | −0.784003 | − | 0.620757i | \(-0.786825\pi\) |
−0.989345 | + | 0.145589i | \(0.953492\pi\) | |||||||
\(44\) | −7.47582 | + | 4.31617i | −1.12702 | + | 0.650687i | ||||
\(45\) | 3.16924 | − | 5.91235i | 0.472442 | − | 0.881362i | ||||
\(46\) | 1.35342 | − | 2.34418i | 0.199550 | − | 0.345631i | ||||
\(47\) | −2.06640 | − | 7.71191i | −0.301415 | − | 1.12490i | −0.935987 | − | 0.352034i | \(-0.885490\pi\) |
0.634572 | − | 0.772864i | \(-0.281176\pi\) | |||||||
\(48\) | 2.76678 | − | 4.29948i | 0.399351 | − | 0.620577i | ||||
\(49\) | 6.99703 | + | 0.203764i | 0.999576 | + | 0.0291091i | ||||
\(50\) | 1.83130 | + | 1.07177i | 0.258985 | + | 0.151570i | ||||
\(51\) | 0.583380 | + | 2.68958i | 0.0816895 | + | 0.376617i | ||||
\(52\) | −8.02271 | + | 8.02271i | −1.11255 | + | 1.11255i | ||||
\(53\) | 0.0258195 | + | 0.0963598i | 0.00354659 | + | 0.0132360i | 0.967676 | − | 0.252195i | \(-0.0811524\pi\) |
−0.964130 | + | 0.265431i | \(0.914486\pi\) | |||||||
\(54\) | −2.18999 | + | 0.257818i | −0.298020 | + | 0.0350846i | ||||
\(55\) | 4.08776 | − | 9.78693i | 0.551193 | − | 1.31967i | ||||
\(56\) | −3.07657 | + | 2.98828i | −0.411124 | + | 0.399326i | ||||
\(57\) | −0.633541 | − | 1.23072i | −0.0839145 | − | 0.163013i | ||||
\(58\) | 0.690100 | − | 0.690100i | 0.0906146 | − | 0.0906146i | ||||
\(59\) | 5.86526 | + | 10.1589i | 0.763592 | + | 1.32258i | 0.940988 | + | 0.338440i | \(0.109899\pi\) |
−0.177396 | + | 0.984140i | \(0.556767\pi\) | |||||||
\(60\) | 0.561476 | + | 7.02607i | 0.0724863 | + | 0.907061i | ||||
\(61\) | 0.603072 | + | 0.348184i | 0.0772155 | + | 0.0445804i | 0.538111 | − | 0.842874i | \(-0.319138\pi\) |
−0.460895 | + | 0.887455i | \(0.652472\pi\) | |||||||
\(62\) | 0.667065 | − | 0.667065i | 0.0847173 | − | 0.0847173i | ||||
\(63\) | −7.88844 | − | 0.878955i | −0.993850 | − | 0.110738i | ||||
\(64\) | 3.99624i | 0.499531i | ||||||||
\(65\) | 1.86036 | − | 13.8156i | 0.230749 | − | 1.71361i | ||||
\(66\) | −3.40727 | + | 0.739048i | −0.419406 | + | 0.0909706i | ||||
\(67\) | −2.30380 | + | 8.59789i | −0.281454 | + | 1.05040i | 0.669938 | + | 0.742417i | \(0.266321\pi\) |
−0.951392 | + | 0.307983i | \(0.900346\pi\) | |||||||
\(68\) | −2.04475 | − | 2.04475i | −0.247963 | − | 0.247963i | ||||
\(69\) | −8.17926 | + | 7.42642i | −0.984667 | + | 0.894035i | ||||
\(70\) | 0.371231 | − | 2.48304i | 0.0443706 | − | 0.296780i | ||||
\(71\) | 0.879215 | 0.104344 | 0.0521718 | − | 0.998638i | \(-0.483386\pi\) | ||||
0.0521718 | + | 0.998638i | \(0.483386\pi\) | |||||||
\(72\) | 3.75386 | − | 3.09182i | 0.442397 | − | 0.364375i | ||||
\(73\) | −5.47169 | + | 1.46613i | −0.640413 | + | 0.171598i | −0.564390 | − | 0.825508i | \(-0.690889\pi\) |
−0.0760223 | + | 0.997106i | \(0.524222\pi\) | |||||||
\(74\) | 1.53499i | 0.178439i | ||||||||
\(75\) | −5.78359 | − | 6.44594i | −0.667831 | − | 0.744313i | ||||
\(76\) | 1.25957 | + | 0.727214i | 0.144483 | + | 0.0834172i | ||||
\(77\) | −12.5482 | − | 0.182673i | −1.43000 | − | 0.0208175i | ||||
\(78\) | −4.07431 | + | 2.09733i | −0.461324 | + | 0.237476i | ||||
\(79\) | −4.96663 | − | 2.86749i | −0.558790 | − | 0.322617i | 0.193870 | − | 0.981027i | \(-0.437896\pi\) |
−0.752660 | + | 0.658410i | \(0.771229\pi\) | |||||||
\(80\) | −4.00271 | − | 5.24843i | −0.447516 | − | 0.586792i | ||||
\(81\) | 8.83321 | + | 1.72463i | 0.981468 | + | 0.191625i | ||||
\(82\) | 0.00154259 | 0.000413336i | 0.000170351 | 4.56453e-5i | ||||||
\(83\) | −2.29563 | + | 8.56741i | −0.251978 | + | 0.940395i | 0.717769 | + | 0.696282i | \(0.245164\pi\) |
−0.969747 | + | 0.244113i | \(0.921503\pi\) | |||||||
\(84\) | 7.46985 | − | 3.70872i | 0.815027 | − | 0.404655i | ||||
\(85\) | 3.52120 | + | 0.474151i | 0.381927 | + | 0.0514289i | ||||
\(86\) | 5.10898 | 0.550915 | ||||||||
\(87\) | −3.54156 | + | 1.82309i | −0.379695 | + | 0.195456i | ||||
\(88\) | 5.43709 | − | 5.43709i | 0.579595 | − | 0.579595i | ||||
\(89\) | 3.90601 | + | 6.76541i | 0.414036 | + | 0.717132i | 0.995327 | − | 0.0965640i | \(-0.0307853\pi\) |
−0.581290 | + | 0.813696i | \(0.697452\pi\) | |||||||
\(90\) | −0.649725 | + | 2.77166i | −0.0684870 | + | 0.292158i | ||||
\(91\) | −15.9928 | + | 4.03669i | −1.67650 | + | 0.423160i | ||||
\(92\) | 3.00439 | − | 11.2126i | 0.313230 | − | 1.16899i | ||||
\(93\) | −3.42335 | + | 1.76224i | −0.354984 | + | 0.182736i | ||||
\(94\) | 1.69409 | + | 2.93426i | 0.174732 | + | 0.302646i | ||||
\(95\) | −1.77241 | + | 0.228022i | −0.181845 | + | 0.0233946i | ||||
\(96\) | −2.37500 | + | 7.41419i | −0.242397 | + | 0.756707i | ||||
\(97\) | −7.85062 | − | 2.10357i | −0.797109 | − | 0.213585i | −0.162795 | − | 0.986660i | \(-0.552051\pi\) |
−0.634314 | + | 0.773075i | \(0.718718\pi\) | |||||||
\(98\) | −2.89057 | + | 0.685002i | −0.291991 | + | 0.0691957i | ||||
\(99\) | 14.1638 | + | 1.36976i | 1.42351 | + | 0.137666i | ||||
\(100\) | 8.77542 | + | 2.40697i | 0.877542 | + | 0.240697i | ||||
\(101\) | 14.7969i | 1.47235i | 0.676791 | + | 0.736176i | \(0.263370\pi\) | ||||
−0.676791 | + | 0.736176i | \(0.736630\pi\) | |||||||
\(102\) | −0.534549 | − | 1.03842i | −0.0529283 | − | 0.102819i | ||||
\(103\) | −13.1388 | − | 13.1388i | −1.29461 | − | 1.29461i | −0.931905 | − | 0.362702i | \(-0.881854\pi\) |
−0.362702 | − | 0.931905i | \(-0.618146\pi\) | |||||||
\(104\) | 5.05311 | − | 8.75225i | 0.495498 | − | 0.858229i | ||||
\(105\) | −4.53452 | + | 9.18902i | −0.442524 | + | 0.896757i | ||||
\(106\) | −0.0211676 | − | 0.0366634i | −0.00205598 | − | 0.00356106i | ||||
\(107\) | 3.31381 | − | 12.3673i | 0.320358 | − | 1.19559i | −0.598539 | − | 0.801093i | \(-0.704252\pi\) |
0.918897 | − | 0.394498i | \(-0.129081\pi\) | |||||||
\(108\) | −8.78548 | + | 3.49870i | −0.845383 | + | 0.336663i | ||||
\(109\) | 2.22867 | + | 1.28673i | 0.213468 | + | 0.123246i | 0.602922 | − | 0.797800i | \(-0.294003\pi\) |
−0.389454 | + | 0.921046i | \(0.627336\pi\) | |||||||
\(110\) | −0.600673 | + | 4.46079i | −0.0572719 | + | 0.425319i | ||||
\(111\) | 1.91119 | − | 5.96630i | 0.181403 | − | 0.566296i | ||||
\(112\) | −4.00300 | + | 6.70603i | −0.378248 | + | 0.633660i | ||||
\(113\) | 0.0755994 | + | 0.282141i | 0.00711179 | + | 0.0265416i | 0.969391 | − | 0.245524i | \(-0.0789600\pi\) |
−0.962279 | + | 0.272065i | \(0.912293\pi\) | |||||||
\(114\) | 0.394876 | + | 0.434906i | 0.0369835 | + | 0.0407327i | ||||
\(115\) | 5.41912 | + | 13.1929i | 0.505336 | + | 1.23025i | ||||
\(116\) | 2.09265 | − | 3.62458i | 0.194298 | − | 0.336533i | ||||
\(117\) | 18.4476 | − | 3.07919i | 1.70549 | − | 0.284671i | ||||
\(118\) | −3.52007 | − | 3.52007i | −0.324049 | − | 0.324049i | ||||
\(119\) | −1.02884 | − | 4.07610i | −0.0943132 | − | 0.373655i | ||||
\(120\) | −2.10289 | − | 5.91574i | −0.191967 | − | 0.540030i | ||||
\(121\) | 11.4987 | 1.04534 | ||||||||
\(122\) | −0.285451 | − | 0.0764865i | −0.0258435 | − | 0.00692476i | ||||
\(123\) | −0.00548120 | − | 0.00352724i | −0.000494223 | − | 0.000318040i | ||||
\(124\) | 2.02280 | − | 3.50359i | 0.181653 | − | 0.314632i | ||||
\(125\) | −10.3668 | + | 4.18691i | −0.927232 | + | 0.374488i | ||||
\(126\) | 3.33013 | − | 0.506140i | 0.296671 | − | 0.0450905i | ||||
\(127\) | −2.01936 | − | 2.01936i | −0.179189 | − | 0.179189i | 0.611813 | − | 0.791002i | \(-0.290440\pi\) |
−0.791002 | + | 0.611813i | \(0.790440\pi\) | |||||||
\(128\) | −2.76563 | − | 10.3215i | −0.244450 | − | 0.912299i | ||||
\(129\) | −19.8579 | − | 6.36112i | −1.74839 | − | 0.560065i | ||||
\(130\) | 0.754867 | + | 5.86755i | 0.0662062 | + | 0.514618i | ||||
\(131\) | 8.89310i | 0.776994i | 0.921450 | + | 0.388497i | \(0.127006\pi\) | ||||
−0.921450 | + | 0.388497i | \(0.872994\pi\) | |||||||
\(132\) | −13.2937 | + | 6.84320i | −1.15707 | + | 0.595624i | ||||
\(133\) | 1.03045 | + | 1.84634i | 0.0893510 | + | 0.160098i | ||||
\(134\) | − | 3.77744i | − | 0.326321i | ||||||
\(135\) | 5.97635 | − | 9.96410i | 0.514362 | − | 0.857573i | ||||
\(136\) | 2.23069 | + | 1.28789i | 0.191280 | + | 0.110436i | ||||
\(137\) | 3.34121 | + | 3.34121i | 0.285459 | + | 0.285459i | 0.835282 | − | 0.549822i | \(-0.185305\pi\) |
−0.549822 | + | 0.835282i | \(0.685305\pi\) | |||||||
\(138\) | 2.53711 | − | 3.94257i | 0.215973 | − | 0.335614i | ||||
\(139\) | −5.48076 | + | 9.49295i | −0.464872 | + | 0.805181i | −0.999196 | − | 0.0400984i | \(-0.987233\pi\) |
0.534324 | + | 0.845280i | \(0.320566\pi\) | |||||||
\(140\) | −1.21824 | − | 10.6976i | −0.102960 | − | 0.904109i | ||||
\(141\) | −2.93131 | − | 13.5144i | −0.246861 | − | 1.13811i | ||||
\(142\) | −0.360403 | + | 0.0965697i | −0.0302443 | + | 0.00810395i | ||||
\(143\) | 28.5634 | − | 7.65354i | 2.38859 | − | 0.640021i | ||||
\(144\) | 5.14548 | − | 7.20735i | 0.428790 | − | 0.600613i | ||||
\(145\) | 0.656163 | + | 5.10033i | 0.0544913 | + | 0.423559i | ||||
\(146\) | 2.08189 | − | 1.20198i | 0.172298 | − | 0.0994765i | ||||
\(147\) | 12.0881 | + | 0.936493i | 0.997012 | + | 0.0772407i | ||||
\(148\) | 1.70373 | + | 6.35841i | 0.140046 | + | 0.522658i | ||||
\(149\) | − | 2.81161i | − | 0.230336i | −0.993346 | − | 0.115168i | \(-0.963259\pi\) | ||
0.993346 | − | 0.115168i | \(-0.0367406\pi\) | |||||||
\(150\) | 3.07877 | + | 2.00704i | 0.251381 | + | 0.163874i | ||||
\(151\) | −1.12702 | −0.0917155 | −0.0458578 | − | 0.998948i | \(-0.514602\pi\) | ||||
−0.0458578 | + | 0.998948i | \(0.514602\pi\) | |||||||
\(152\) | −1.25138 | − | 0.335306i | −0.101500 | − | 0.0271969i | ||||
\(153\) | 0.784797 | + | 4.70177i | 0.0634471 | + | 0.380116i | ||||
\(154\) | 5.16376 | − | 1.30337i | 0.416108 | − | 0.105028i | ||||
\(155\) | 0.634260 | + | 4.93008i | 0.0509450 | + | 0.395993i | ||||
\(156\) | −14.5492 | + | 13.2100i | −1.16487 | + | 1.05765i | ||||
\(157\) | −3.04326 | − | 0.815440i | −0.242879 | − | 0.0650792i | 0.135326 | − | 0.990801i | \(-0.456792\pi\) |
−0.378205 | + | 0.925722i | \(0.623458\pi\) | |||||||
\(158\) | 2.35085 | + | 0.629908i | 0.187023 | + | 0.0501128i | ||||
\(159\) | 0.0366266 | + | 0.168861i | 0.00290468 | + | 0.0133916i | ||||
\(160\) | 7.95572 | + | 6.14203i | 0.628955 | + | 0.485570i | ||||
\(161\) | 12.1053 | − | 11.7579i | 0.954033 | − | 0.926655i | ||||
\(162\) | −3.81029 | + | 0.263258i | −0.299365 | + | 0.0206835i | ||||
\(163\) | 19.6169 | + | 5.25634i | 1.53652 | + | 0.411708i | 0.925138 | − | 0.379630i | \(-0.123949\pi\) |
0.611378 | + | 0.791338i | \(0.290615\pi\) | |||||||
\(164\) | 0.00684867 | 0.000534791 | ||||||||
\(165\) | 7.88880 | − | 16.5906i | 0.614142 | − | 1.29158i | ||||
\(166\) | − | 3.76405i | − | 0.292147i | ||||||
\(167\) | 1.39052 | + | 5.18948i | 0.107601 | + | 0.401574i | 0.998627 | − | 0.0523786i | \(-0.0166802\pi\) |
−0.891026 | + | 0.453952i | \(0.850014\pi\) | |||||||
\(168\) | −5.57199 | + | 4.91307i | −0.429888 | + | 0.379052i | ||||
\(169\) | 22.4009 | − | 12.9332i | 1.72315 | − | 0.994859i | ||||
\(170\) | −1.49547 | + | 0.192394i | −0.114697 | + | 0.0147559i | ||||
\(171\) | −0.993334 | − | 2.18208i | −0.0759621 | − | 0.166867i | ||||
\(172\) | 21.1630 | − | 5.67061i | 1.61366 | − | 0.432380i | ||||
\(173\) | 1.58973 | − | 0.425966i | 0.120865 | − | 0.0323856i | −0.197880 | − | 0.980226i | \(-0.563406\pi\) |
0.318744 | + | 0.947841i | \(0.396739\pi\) | |||||||
\(174\) | 1.25150 | − | 1.13630i | 0.0948756 | − | 0.0861430i | ||||
\(175\) | 9.16082 | + | 9.54355i | 0.692493 | + | 0.721425i | ||||
\(176\) | 7.00078 | − | 12.1257i | 0.527704 | − | 0.914010i | ||||
\(177\) | 9.29926 | + | 18.0649i | 0.698975 | + | 1.35784i | ||||
\(178\) | −2.34422 | − | 2.34422i | −0.175707 | − | 0.175707i | ||||
\(179\) | 8.15175 | + | 4.70641i | 0.609290 | + | 0.351774i | 0.772688 | − | 0.634786i | \(-0.218912\pi\) |
−0.163397 | + | 0.986560i | \(0.552245\pi\) | |||||||
\(180\) | 0.384979 | + | 12.2022i | 0.0286946 | + | 0.909501i | ||||
\(181\) | − | 6.30948i | − | 0.468980i | −0.972119 | − | 0.234490i | \(-0.924658\pi\) | ||
0.972119 | − | 0.234490i | \(-0.0753420\pi\) | |||||||
\(182\) | 6.11230 | − | 3.41129i | 0.453074 | − | 0.252861i | ||||
\(183\) | 1.01428 | + | 0.652704i | 0.0749777 | + | 0.0482493i | ||||
\(184\) | 10.3398i | 0.762263i | ||||||||
\(185\) | −6.40208 | − | 4.94258i | −0.470690 | − | 0.363385i | ||||
\(186\) | 1.20972 | − | 1.09837i | 0.0887010 | − | 0.0805367i | ||||
\(187\) | 1.95066 | + | 7.27998i | 0.142647 | + | 0.532365i | ||||
\(188\) | 10.2743 | + | 10.2743i | 0.749330 | + | 0.749330i | ||||
\(189\) | −13.5739 | − | 2.17900i | −0.987359 | − | 0.158499i | ||||
\(190\) | 0.701491 | − | 0.288144i | 0.0508915 | − | 0.0209042i | ||||
\(191\) | −6.26047 | + | 10.8435i | −0.452992 | + | 0.784605i | −0.998570 | − | 0.0534548i | \(-0.982977\pi\) |
0.545578 | + | 0.838060i | \(0.316310\pi\) | |||||||
\(192\) | −0.333527 | + | 6.91366i | −0.0240703 | + | 0.498950i | ||||
\(193\) | −3.44161 | − | 0.922177i | −0.247732 | − | 0.0663797i | 0.132816 | − | 0.991141i | \(-0.457598\pi\) |
−0.380548 | + | 0.924761i | \(0.624265\pi\) | |||||||
\(194\) | 3.44913 | 0.247633 | ||||||||
\(195\) | 4.37154 | − | 23.7463i | 0.313053 | − | 1.70050i | ||||
\(196\) | −11.2133 | + | 6.04582i | −0.800953 | + | 0.431845i | ||||
\(197\) | −10.2927 | − | 10.2927i | −0.733323 | − | 0.733323i | 0.237953 | − | 0.971277i | \(-0.423523\pi\) |
−0.971277 | + | 0.237953i | \(0.923523\pi\) | |||||||
\(198\) | −5.95638 | + | 0.994211i | −0.423302 | + | 0.0706555i | ||||
\(199\) | 2.95570 | − | 5.11943i | 0.209524 | − | 0.362907i | −0.742040 | − | 0.670355i | \(-0.766142\pi\) |
0.951565 | + | 0.307448i | \(0.0994751\pi\) | |||||||
\(200\) | −8.10522 | − | 0.0478439i | −0.573125 | − | 0.00338307i | ||||
\(201\) | −4.70324 | + | 14.6824i | −0.331741 | + | 1.03562i | ||||
\(202\) | −1.62524 | − | 6.06548i | −0.114352 | − | 0.426766i | ||||
\(203\) | 5.31308 | − | 2.96524i | 0.372905 | − | 0.208119i | ||||
\(204\) | −3.36685 | − | 3.70816i | −0.235727 | − | 0.259623i | ||||
\(205\) | −0.00669098 | + | 0.00510286i | −0.000467318 | + | 0.000356399i | ||||
\(206\) | 6.82892 | + | 3.94268i | 0.475793 | + | 0.274699i | ||||
\(207\) | −14.7703 | + | 12.1653i | −1.02660 | + | 0.845550i | ||||
\(208\) | 4.76300 | − | 17.7758i | 0.330254 | − | 1.23253i | ||||
\(209\) | −1.89536 | − | 3.28287i | −0.131105 | − | 0.227081i | ||||
\(210\) | 0.849479 | − | 4.26477i | 0.0586196 | − | 0.294297i | ||||
\(211\) | 2.99176 | − | 5.18187i | 0.205961 | − | 0.356735i | −0.744477 | − | 0.667648i | \(-0.767301\pi\) |
0.950438 | + | 0.310913i | \(0.100635\pi\) | |||||||
\(212\) | −0.128377 | − | 0.128377i | −0.00881695 | − | 0.00881695i | ||||
\(213\) | 1.52108 | + | 0.0733795i | 0.104222 | + | 0.00502788i | ||||
\(214\) | 5.43351i | 0.371427i | ||||||||
\(215\) | −16.4506 | + | 21.3083i | −1.12192 | + | 1.45322i | ||||
\(216\) | 6.75237 | − | 5.03568i | 0.459441 | − | 0.342634i | ||||
\(217\) | 5.13573 | − | 2.86626i | 0.348636 | − | 0.194574i | ||||
\(218\) | −1.05489 | − | 0.282658i | −0.0714465 | − | 0.0191440i | ||||
\(219\) | −9.58860 | + | 2.07980i | −0.647937 | + | 0.140540i | ||||
\(220\) | 2.46299 | + | 19.1447i | 0.166055 | + | 1.29074i | ||||
\(221\) | 4.95295 | + | 8.57876i | 0.333172 | + | 0.577070i | ||||
\(222\) | −0.128111 | + | 2.65559i | −0.00859821 | + | 0.178232i | ||||
\(223\) | −3.22978 | + | 12.0537i | −0.216282 | + | 0.807175i | 0.769429 | + | 0.638732i | \(0.220541\pi\) |
−0.985711 | + | 0.168443i | \(0.946126\pi\) | |||||||
\(224\) | 3.24482 | − | 11.4410i | 0.216803 | − | 0.764434i | ||||
\(225\) | −9.46785 | − | 11.6344i | −0.631190 | − | 0.775628i | ||||
\(226\) | −0.0619786 | − | 0.107350i | −0.00412275 | − | 0.00714082i | ||||
\(227\) | −4.43838 | + | 4.43838i | −0.294586 | + | 0.294586i | −0.838889 | − | 0.544303i | \(-0.816794\pi\) |
0.544303 | + | 0.838889i | \(0.316794\pi\) | |||||||
\(228\) | 2.11841 | + | 1.36323i | 0.140295 | + | 0.0902823i | ||||
\(229\) | −9.56138 | −0.631834 | −0.315917 | − | 0.948787i | \(-0.602312\pi\) | ||||
−0.315917 | + | 0.948787i | \(0.602312\pi\) | |||||||
\(230\) | −3.67044 | − | 4.81275i | −0.242021 | − | 0.317343i | ||||
\(231\) | −21.6937 | − | 1.36331i | −1.42734 | − | 0.0896991i | ||||
\(232\) | −0.964886 | + | 3.60100i | −0.0633479 | + | 0.236417i | ||||
\(233\) | −8.04546 | − | 2.15577i | −0.527075 | − | 0.141229i | −0.0145380 | − | 0.999894i | \(-0.504628\pi\) |
−0.512537 | + | 0.858665i | \(0.671294\pi\) | |||||||
\(234\) | −7.22375 | + | 3.28843i | −0.472231 | + | 0.214971i | ||||
\(235\) | −17.6930 | − | 2.38247i | −1.15416 | − | 0.155415i | ||||
\(236\) | −18.4883 | − | 10.6742i | −1.20349 | − | 0.694833i | ||||
\(237\) | −8.35314 | − | 5.37538i | −0.542595 | − | 0.349168i | ||||
\(238\) | 0.869438 | + | 1.55785i | 0.0563573 | + | 0.100980i | ||||
\(239\) | −20.3376 | − | 11.7419i | −1.31553 | − | 0.759521i | −0.332523 | − | 0.943095i | \(-0.607900\pi\) |
−0.983006 | + | 0.183574i | \(0.941233\pi\) | |||||||
\(240\) | −6.48680 | − | 9.41406i | −0.418721 | − | 0.607675i | ||||
\(241\) | − | 22.8751i | − | 1.47351i | −0.676157 | − | 0.736757i | \(-0.736356\pi\) | ||
0.676157 | − | 0.736757i | \(-0.263644\pi\) | |||||||
\(242\) | −4.71350 | + | 1.26298i | −0.302995 | + | 0.0811874i | ||||
\(243\) | 15.1379 | + | 3.72089i | 0.971094 | + | 0.238695i | ||||
\(244\) | −1.26732 | −0.0811321 | ||||||||
\(245\) | 6.45047 | − | 14.2615i | 0.412105 | − | 0.911136i | ||||
\(246\) | 0.00263424 | 0.000843832i | 0.000167953 | 5.38007e-5i | ||||||
\(247\) | −3.52302 | − | 3.52302i | −0.224164 | − | 0.224164i | ||||
\(248\) | −0.932678 | + | 3.48080i | −0.0592251 | + | 0.221031i | ||||
\(249\) | −4.68657 | + | 14.6304i | −0.296999 | + | 0.927161i | ||||
\(250\) | 3.78961 | − | 2.85492i | 0.239676 | − | 0.180561i | ||||
\(251\) | − | 8.30932i | − | 0.524480i | −0.965003 | − | 0.262240i | \(-0.915539\pi\) | ||
0.965003 | − | 0.262240i | \(-0.0844612\pi\) | |||||||
\(252\) | 13.2327 | − | 5.79280i | 0.833579 | − | 0.364912i | ||||
\(253\) | −21.3932 | + | 21.3932i | −1.34498 | + | 1.34498i | ||||
\(254\) | 1.04956 | + | 0.605965i | 0.0658554 | + | 0.0380216i | ||||
\(255\) | 6.05223 | + | 1.11418i | 0.379005 | + | 0.0697726i | ||||
\(256\) | −1.72890 | − | 2.99454i | −0.108056 | − | 0.187159i | ||||
\(257\) | 4.91070 | − | 4.91070i | 0.306321 | − | 0.306321i | −0.537160 | − | 0.843481i | \(-0.680503\pi\) |
0.843481 | + | 0.537160i | \(0.180503\pi\) | |||||||
\(258\) | 8.83873 | + | 0.426396i | 0.550275 | + | 0.0265463i | ||||
\(259\) | −2.61115 | + | 9.20673i | −0.162249 | + | 0.572078i | ||||
\(260\) | 9.63947 | + | 23.4674i | 0.597814 | + | 1.45539i | ||||
\(261\) | −6.27919 | + | 2.85844i | −0.388672 | + | 0.176933i | ||||
\(262\) | −0.976785 | − | 3.64541i | −0.0603460 | − | 0.225214i | ||||
\(263\) | 6.18245 | − | 6.18245i | 0.381226 | − | 0.381226i | −0.490318 | − | 0.871544i | \(-0.663119\pi\) |
0.871544 | + | 0.490318i | \(0.163119\pi\) | |||||||
\(264\) | 9.86015 | − | 8.95259i | 0.606850 | − | 0.550994i | ||||
\(265\) | 0.221073 | + | 0.0297688i | 0.0135804 | + | 0.00182868i | ||||
\(266\) | −0.625190 | − | 0.643662i | −0.0383329 | − | 0.0394654i | ||||
\(267\) | 6.19291 | + | 12.0304i | 0.379000 | + | 0.736250i | ||||
\(268\) | −4.19270 | − | 15.6474i | −0.256110 | − | 0.955815i | ||||
\(269\) | 2.49727 | − | 4.32540i | 0.152261 | − | 0.263724i | −0.779797 | − | 0.626032i | \(-0.784678\pi\) |
0.932058 | + | 0.362308i | \(0.118011\pi\) | |||||||
\(270\) | −1.35537 | + | 4.74085i | −0.0824854 | + | 0.288519i | ||||
\(271\) | 4.53316 | − | 2.61722i | 0.275370 | − | 0.158985i | −0.355956 | − | 0.934503i | \(-0.615845\pi\) |
0.631325 | + | 0.775518i | \(0.282511\pi\) | |||||||
\(272\) | 4.53052 | + | 1.21395i | 0.274703 | + | 0.0736065i | ||||
\(273\) | −28.0051 | + | 5.64887i | −1.69494 | + | 0.341885i | ||||
\(274\) | −1.73660 | − | 1.00263i | −0.104912 | − | 0.0605708i | ||||
\(275\) | −16.6708 | − | 16.8687i | −1.00528 | − | 1.01722i | ||||
\(276\) | 6.13352 | − | 19.1474i | 0.369195 | − | 1.15254i | ||||
\(277\) | −7.22737 | − | 7.22737i | −0.434251 | − | 0.434251i | 0.455821 | − | 0.890072i | \(-0.349346\pi\) |
−0.890072 | + | 0.455821i | \(0.849346\pi\) | |||||||
\(278\) | 1.20397 | − | 4.49328i | 0.0722094 | − | 0.269489i | ||||
\(279\) | −6.06960 | + | 2.76303i | −0.363377 | + | 0.165418i | ||||
\(280\) | 3.51440 | + | 8.92326i | 0.210026 | + | 0.533267i | ||||
\(281\) | 10.0861 | + | 17.4697i | 0.601687 | + | 1.04215i | 0.992566 | + | 0.121711i | \(0.0388380\pi\) |
−0.390878 | + | 0.920442i | \(0.627829\pi\) | |||||||
\(282\) | 2.68596 | + | 5.21777i | 0.159946 | + | 0.310714i | ||||
\(283\) | −6.90135 | + | 25.7562i | −0.410243 | + | 1.53105i | 0.383935 | + | 0.923360i | \(0.374569\pi\) |
−0.794177 | + | 0.607686i | \(0.792098\pi\) | |||||||
\(284\) | −1.38572 | + | 0.800044i | −0.0822272 | + | 0.0474739i | ||||
\(285\) | −3.08537 | + | 0.246562i | −0.182761 | + | 0.0146051i | ||||
\(286\) | −10.8679 | + | 6.27459i | −0.642633 | + | 0.371024i | ||||
\(287\) | 0.00854920 | + | 0.00510323i | 0.000504643 | + | 0.000301234i | ||||
\(288\) | −4.72763 | + | 12.6286i | −0.278578 | + | 0.744148i | ||||
\(289\) | 12.5360 | − | 7.23764i | 0.737409 | − | 0.425743i | ||||
\(290\) | −0.829171 | − | 2.01863i | −0.0486906 | − | 0.118538i | ||||
\(291\) | −13.4063 | − | 4.29447i | −0.785892 | − | 0.251746i | ||||
\(292\) | 7.28973 | − | 7.28973i | 0.426599 | − | 0.426599i | ||||
\(293\) | 11.7249 | − | 3.14169i | 0.684978 | − | 0.183539i | 0.100486 | − | 0.994939i | \(-0.467960\pi\) |
0.584492 | + | 0.811399i | \(0.301294\pi\) | |||||||
\(294\) | −5.05796 | + | 0.943833i | −0.294986 | + | 0.0550455i | ||||
\(295\) | 26.0158 | − | 3.34697i | 1.51470 | − | 0.194868i | ||||
\(296\) | −2.93176 | − | 5.07795i | −0.170405 | − | 0.295150i | ||||
\(297\) | 24.3896 | + | 3.55185i | 1.41523 | + | 0.206099i | ||||
\(298\) | 0.308816 | + | 1.15252i | 0.0178892 | + | 0.0667636i | ||||
\(299\) | −19.8824 | + | 34.4373i | −1.14983 | + | 1.99156i | ||||
\(300\) | 14.9809 | + | 4.89655i | 0.864924 | + | 0.282703i | ||||
\(301\) | 30.6432 | + | 8.69081i | 1.76624 | + | 0.500930i | ||||
\(302\) | 0.461981 | − | 0.123788i | 0.0265840 | − | 0.00712317i | ||||
\(303\) | −1.23496 | + | 25.5993i | −0.0709464 | + | 1.47064i | ||||
\(304\) | −2.35907 | −0.135302 | ||||||||
\(305\) | 1.23814 | − | 0.944268i | 0.0708959 | − | 0.0540686i | ||||
\(306\) | −0.838124 | − | 1.84112i | −0.0479124 | − | 0.105250i | ||||
\(307\) | −13.5943 | + | 13.5943i | −0.775866 | + | 0.775866i | −0.979125 | − | 0.203259i | \(-0.934847\pi\) |
0.203259 | + | 0.979125i | \(0.434847\pi\) | |||||||
\(308\) | 19.9433 | − | 11.1304i | 1.13637 | − | 0.634213i | ||||
\(309\) | −21.6341 | − | 23.8273i | −1.23072 | − | 1.35549i | ||||
\(310\) | −0.801494 | − | 1.95125i | −0.0455218 | − | 0.110823i | ||||
\(311\) | 14.8800 | − | 8.59095i | 0.843766 | − | 0.487148i | −0.0147768 | − | 0.999891i | \(-0.504704\pi\) |
0.858542 | + | 0.512742i | \(0.171370\pi\) | |||||||
\(312\) | 9.47255 | − | 14.7200i | 0.536277 | − | 0.833356i | ||||
\(313\) | 1.98160 | − | 0.530967i | 0.112006 | − | 0.0300120i | −0.202380 | − | 0.979307i | \(-0.564868\pi\) |
0.314387 | + | 0.949295i | \(0.398201\pi\) | |||||||
\(314\) | 1.33704 | 0.0754537 | ||||||||
\(315\) | −8.61182 | + | 15.5189i | −0.485221 | + | 0.874392i | ||||
\(316\) | 10.4371 | 0.587133 | ||||||||
\(317\) | 23.8037 | − | 6.37819i | 1.33695 | − | 0.358235i | 0.481648 | − | 0.876365i | \(-0.340038\pi\) |
0.855302 | + | 0.518130i | \(0.173372\pi\) | |||||||
\(318\) | −0.0335608 | − | 0.0651957i | −0.00188200 | − | 0.00365599i | ||||
\(319\) | −9.44686 | + | 5.45414i | −0.528922 | + | 0.305373i | ||||
\(320\) | 8.24554 | + | 3.44396i | 0.460940 | + | 0.192523i | ||||
\(321\) | 6.76519 | − | 21.1193i | 0.377596 | − | 1.17877i | ||||
\(322\) | −3.67070 | + | 6.14935i | −0.204560 | + | 0.342690i | ||||
\(323\) | 0.897916 | − | 0.897916i | 0.0499614 | − | 0.0499614i | ||||
\(324\) | −15.4912 | + | 5.31965i | −0.860624 | + | 0.295536i | ||||
\(325\) | −26.9028 | − | 15.7448i | −1.49230 | − | 0.873364i | ||||
\(326\) | −8.61860 | −0.477340 | ||||||||
\(327\) | 3.74830 | + | 2.41209i | 0.207282 | + | 0.133389i | ||||
\(328\) | −0.00589255 | + | 0.00157890i | −0.000325362 | + | 8.71804e-5i | ||||
\(329\) | 5.16960 | + | 20.4812i | 0.285009 | + | 1.12917i | ||||
\(330\) | −1.41149 | + | 7.66720i | −0.0776997 | + | 0.422066i | ||||
\(331\) | 7.04177 | − | 12.1967i | 0.387051 | − | 0.670391i | −0.605001 | − | 0.796225i | \(-0.706827\pi\) |
0.992051 | + | 0.125834i | \(0.0401606\pi\) | |||||||
\(332\) | −4.17783 | − | 15.5919i | −0.229288 | − | 0.855715i | ||||
\(333\) | 3.80439 | − | 10.1624i | 0.208479 | − | 0.556897i | ||||
\(334\) | −1.13999 | − | 1.97451i | −0.0623772 | − | 0.108041i | ||||
\(335\) | 15.7548 | + | 12.1631i | 0.860778 | + | 0.664543i | ||||
\(336\) | −7.48502 | + | 11.2676i | −0.408342 | + | 0.614698i | ||||
\(337\) | −19.3168 | + | 5.17591i | −1.05225 | + | 0.281950i | −0.743182 | − | 0.669090i | \(-0.766684\pi\) |
−0.309069 | + | 0.951040i | \(0.600017\pi\) | |||||||
\(338\) | −7.76193 | + | 7.76193i | −0.422193 | + | 0.422193i | ||||
\(339\) | 0.107242 | + | 0.494424i | 0.00582460 | + | 0.0268534i | ||||
\(340\) | −5.98116 | + | 2.45682i | −0.324374 | + | 0.133240i | ||||
\(341\) | −9.13152 | + | 5.27209i | −0.494500 | + | 0.285500i | ||||
\(342\) | 0.646853 | + | 0.785360i | 0.0349778 | + | 0.0424674i | ||||
\(343\) | −18.5026 | − | 0.808520i | −0.999047 | − | 0.0436560i | ||||
\(344\) | −16.9012 | + | 9.75791i | −0.911251 | + | 0.526111i | ||||
\(345\) | 8.27421 | + | 23.2765i | 0.445468 | + | 1.25317i | ||||
\(346\) | −0.604866 | + | 0.349219i | −0.0325178 | + | 0.0187741i | ||||
\(347\) | 6.76150 | − | 25.2343i | 0.362976 | − | 1.35465i | −0.507167 | − | 0.861848i | \(-0.669307\pi\) |
0.870143 | − | 0.492798i | \(-0.164026\pi\) | |||||||
\(348\) | 3.92287 | − | 6.09600i | 0.210288 | − | 0.326780i | ||||
\(349\) | −4.03755 | − | 6.99324i | −0.216125 | − | 0.374340i | 0.737495 | − | 0.675353i | \(-0.236009\pi\) |
−0.953620 | + | 0.301013i | \(0.902675\pi\) | |||||||
\(350\) | −4.80338 | − | 2.90585i | −0.256751 | − | 0.155324i | ||||
\(351\) | 32.1721 | − | 3.78748i | 1.71722 | − | 0.202161i | ||||
\(352\) | −5.51810 | + | 20.5938i | −0.294116 | + | 1.09766i | ||||
\(353\) | −5.53993 | − | 5.53993i | −0.294861 | − | 0.294861i | 0.544136 | − | 0.838997i | \(-0.316857\pi\) |
−0.838997 | + | 0.544136i | \(0.816857\pi\) | |||||||
\(354\) | −5.79608 | − | 6.38365i | −0.308058 | − | 0.339287i | ||||
\(355\) | 0.757707 | − | 1.81410i | 0.0402149 | − | 0.0962827i | ||||
\(356\) | −12.3124 | − | 7.10858i | −0.652557 | − | 0.376754i | ||||
\(357\) | −1.43973 | − | 7.13768i | −0.0761988 | − | 0.377766i | ||||
\(358\) | −3.85845 | − | 1.03387i | −0.203926 | − | 0.0546417i | ||||
\(359\) | −17.6690 | + | 10.2012i | −0.932535 | + | 0.538400i | −0.887613 | − | 0.460591i | \(-0.847638\pi\) |
−0.0449229 | + | 0.998990i | \(0.514304\pi\) | |||||||
\(360\) | −3.14436 | − | 10.4100i | −0.165722 | − | 0.548653i | ||||
\(361\) | 9.18066 | − | 15.9014i | 0.483192 | − | 0.836914i | ||||
\(362\) | 0.693010 | + | 2.58635i | 0.0364238 | + | 0.135935i | ||||
\(363\) | 19.8933 | + | 0.959688i | 1.04413 | + | 0.0503705i | ||||
\(364\) | 21.5328 | − | 20.9149i | 1.12863 | − | 1.09624i | ||||
\(365\) | −1.69039 | + | 12.5534i | −0.0884790 | + | 0.657074i | ||||
\(366\) | −0.487458 | − | 0.156148i | −0.0254799 | − | 0.00816201i | ||||
\(367\) | 0.650789 | − | 0.650789i | 0.0339709 | − | 0.0339709i | −0.689917 | − | 0.723888i | \(-0.742353\pi\) |
0.723888 | + | 0.689917i | \(0.242353\pi\) | |||||||
\(368\) | 4.87310 | + | 18.1867i | 0.254028 | + | 0.948045i | ||||
\(369\) | −0.00918831 | − | 0.00655972i | −0.000478324 | − | 0.000341486i | ||||
\(370\) | 3.16718 | + | 1.32285i | 0.164654 | + | 0.0687719i | ||||
\(371\) | −0.0645939 | − | 0.255912i | −0.00335355 | − | 0.0132863i | ||||
\(372\) | 3.79193 | − | 5.89252i | 0.196602 | − | 0.305513i | ||||
\(373\) | 19.1218 | − | 19.1218i | 0.990090 | − | 0.990090i | −0.00986092 | − | 0.999951i | \(-0.503139\pi\) |
0.999951 | + | 0.00986092i | \(0.00313888\pi\) | |||||||
\(374\) | −1.59921 | − | 2.76992i | −0.0826932 | − | 0.143229i | ||||
\(375\) | −18.2843 | + | 6.37830i | −0.944200 | + | 0.329374i | ||||
\(376\) | −11.2086 | − | 6.47128i | −0.578039 | − | 0.333731i | ||||
\(377\) | −10.1379 | + | 10.1379i | −0.522130 | + | 0.522130i | ||||
\(378\) | 5.80349 | − | 0.597709i | 0.298499 | − | 0.0307428i | ||||
\(379\) | 19.3642i | 0.994673i | 0.867558 | + | 0.497337i | \(0.165689\pi\) | ||||
−0.867558 | + | 0.497337i | \(0.834311\pi\) | |||||||
\(380\) | 2.58598 | − | 1.97219i | 0.132658 | − | 0.101171i | ||||
\(381\) | −3.32503 | − | 3.66210i | −0.170346 | − | 0.187615i | ||||
\(382\) | 1.37525 | − | 5.13252i | 0.0703641 | − | 0.262602i | ||||
\(383\) | −3.00257 | − | 3.00257i | −0.153424 | − | 0.153424i | 0.626221 | − | 0.779645i | \(-0.284601\pi\) |
−0.779645 | + | 0.626221i | \(0.784601\pi\) | |||||||
\(384\) | −3.92322 | − | 18.0874i | −0.200206 | − | 0.923018i | ||||
\(385\) | −11.1910 | + | 25.7336i | −0.570344 | + | 1.31151i | ||||
\(386\) | 1.51205 | 0.0769615 | ||||||||
\(387\) | −33.8241 | − | 12.6623i | −1.71937 | − | 0.643663i | ||||
\(388\) | 14.2874 | − | 3.82829i | 0.725332 | − | 0.194352i | ||||
\(389\) | − | 28.4612i | − | 1.44304i | −0.692393 | − | 0.721520i | \(-0.743444\pi\) | ||
0.692393 | − | 0.721520i | \(-0.256556\pi\) | |||||||
\(390\) | 0.816242 | + | 10.2141i | 0.0413320 | + | 0.517210i | ||||
\(391\) | −8.77707 | − | 5.06744i | −0.443876 | − | 0.256272i | ||||
\(392\) | 8.25406 | − | 7.78693i | 0.416893 | − | 0.393299i | ||||
\(393\) | −0.742220 | + | 15.3854i | −0.0374401 | + | 0.776091i | ||||
\(394\) | 5.34963 | + | 3.08861i | 0.269510 | + | 0.155602i | ||||
\(395\) | −10.1968 | + | 7.77657i | −0.513056 | + | 0.391281i | ||||
\(396\) | −23.5697 | + | 10.7295i | −1.18442 | + | 0.539178i | ||||
\(397\) | −8.35620 | − | 2.23904i | −0.419386 | − | 0.112374i | 0.0429537 | − | 0.999077i | \(-0.486323\pi\) |
−0.462340 | + | 0.886703i | \(0.652990\pi\) | |||||||
\(398\) | −0.649287 | + | 2.42317i | −0.0325458 | + | 0.121463i | ||||
\(399\) | 1.62862 | + | 3.28024i | 0.0815328 | + | 0.164218i | ||||
\(400\) | −14.2787 | + | 3.73578i | −0.713937 | + | 0.186789i | ||||
\(401\) | 34.7704 | 1.73635 | 0.868176 | − | 0.496256i | \(-0.165292\pi\) | ||||
0.868176 | + | 0.496256i | \(0.165292\pi\) | |||||||
\(402\) | 0.315266 | − | 6.53512i | 0.0157240 | − | 0.325942i | ||||
\(403\) | −9.79953 | + | 9.79953i | −0.488149 | + | 0.488149i | ||||
\(404\) | −13.4645 | − | 23.3212i | −0.669885 | − | 1.16028i | ||||
\(405\) | 11.1709 | − | 16.7395i | 0.555088 | − | 0.831792i | ||||
\(406\) | −1.85222 | + | 1.79906i | −0.0919239 | + | 0.0892860i | ||||
\(407\) | 4.44049 | − | 16.5721i | 0.220107 | − | 0.821451i | ||||
\(408\) | 3.75170 | + | 2.41428i | 0.185737 | + | 0.119525i | ||||
\(409\) | −8.83548 | − | 15.3035i | −0.436887 | − | 0.756710i | 0.560561 | − | 0.828113i | \(-0.310586\pi\) |
−0.997448 | + | 0.0714034i | \(0.977252\pi\) | |||||||
\(410\) | 0.00218225 | − | 0.00282665i | 0.000107774 | − | 0.000139598i | ||||
\(411\) | 5.50157 | + | 6.05929i | 0.271372 | + | 0.298883i | ||||
\(412\) | 32.6636 | + | 8.75219i | 1.60922 | + | 0.431190i | ||||
\(413\) | −15.1251 | − | 27.1010i | −0.744259 | − | 1.33355i | ||||
\(414\) | 4.71834 | − | 6.60906i | 0.231894 | − | 0.324818i | ||||
\(415\) | 15.6990 | + | 12.1200i | 0.770631 | + | 0.594948i | ||||
\(416\) | 28.0221i | 1.37390i | ||||||||
\(417\) | −10.2742 | + | 15.9657i | −0.503130 | + | 0.781846i | ||||
\(418\) | 1.13751 | + | 1.13751i | 0.0556377 | + | 0.0556377i | ||||
\(419\) | −15.6322 | + | 27.0757i | −0.763681 | + | 1.32273i | 0.177260 | + | 0.984164i | \(0.443277\pi\) |
−0.940941 | + | 0.338570i | \(0.890057\pi\) | |||||||
\(420\) | −1.21478 | − | 18.6089i | −0.0592753 | − | 0.908020i | ||||
\(421\) | 15.0659 | + | 26.0949i | 0.734266 | + | 1.27179i | 0.955045 | + | 0.296462i | \(0.0958069\pi\) |
−0.220778 | + | 0.975324i | \(0.570860\pi\) | |||||||
\(422\) | −0.657207 | + | 2.45273i | −0.0319923 | + | 0.119397i | ||||
\(423\) | −3.94338 | − | 23.6250i | −0.191733 | − | 1.14869i | ||||
\(424\) | 0.140051 | + | 0.0808583i | 0.00680146 | + | 0.00392682i | ||||
\(425\) | 4.01289 | − | 6.85674i | 0.194654 | − | 0.332601i | ||||
\(426\) | −0.631571 | + | 0.136990i | −0.0305997 | + | 0.00663719i | ||||
\(427\) | −1.58200 | − | 0.944336i | −0.0765584 | − | 0.0456996i | ||||
\(428\) | 6.03081 | + | 22.5073i | 0.291510 | + | 1.08793i | ||||
\(429\) | 50.0545 | − | 10.8570i | 2.41666 | − | 0.524181i | ||||
\(430\) | 4.40291 | − | 10.5415i | 0.212327 | − | 0.508355i | ||||
\(431\) | −6.92653 | + | 11.9971i | −0.333639 | + | 0.577880i | −0.983222 | − | 0.182410i | \(-0.941610\pi\) |
0.649583 | + | 0.760290i | \(0.274943\pi\) | |||||||
\(432\) | 9.50340 | − | 12.0396i | 0.457233 | − | 0.579253i | ||||
\(433\) | −7.47379 | − | 7.47379i | −0.359167 | − | 0.359167i | 0.504339 | − | 0.863506i | \(-0.331736\pi\) |
−0.863506 | + | 0.504339i | \(0.831736\pi\) | |||||||
\(434\) | −1.79039 | + | 1.73901i | −0.0859415 | + | 0.0834752i | ||||
\(435\) | 0.709512 | + | 8.87852i | 0.0340185 | + | 0.425693i | ||||
\(436\) | −4.68344 | −0.224296 | ||||||||
\(437\) | 4.92378 | + | 1.31932i | 0.235536 | + | 0.0631118i | ||||
\(438\) | 3.70207 | − | 1.90572i | 0.176892 | − | 0.0910586i | ||||
\(439\) | −4.79891 | + | 8.31195i | −0.229039 | + | 0.396708i | −0.957524 | − | 0.288355i | \(-0.906892\pi\) |
0.728484 | + | 0.685063i | \(0.240225\pi\) | |||||||
\(440\) | −6.53279 | − | 15.9041i | −0.311438 | − | 0.758200i | ||||
\(441\) | 20.8348 | + | 2.62905i | 0.992132 | + | 0.125193i | ||||
\(442\) | −2.97255 | − | 2.97255i | −0.141390 | − | 0.141390i | ||||
\(443\) | 3.45343 | + | 12.8884i | 0.164078 | + | 0.612346i | 0.998156 | + | 0.0607001i | \(0.0193333\pi\) |
−0.834078 | + | 0.551646i | \(0.814000\pi\) | |||||||
\(444\) | 2.41685 | + | 11.1425i | 0.114698 | + | 0.528799i | ||||
\(445\) | 17.3254 | − | 2.22894i | 0.821304 | − | 0.105662i | ||||
\(446\) | − | 5.29573i | − | 0.250760i | ||||||
\(447\) | 0.234657 | − | 4.86419i | 0.0110989 | − | 0.230068i | ||||
\(448\) | 0.153903 | − | 10.5719i | 0.00727122 | − | 0.499478i | ||||
\(449\) | − | 13.1414i | − | 0.620180i | −0.950707 | − | 0.310090i | \(-0.899641\pi\) | ||
0.950707 | − | 0.310090i | \(-0.100359\pi\) | |||||||
\(450\) | 5.15889 | + | 3.72921i | 0.243192 | + | 0.175796i | ||||
\(451\) | −0.0154585 | − | 0.00892496i | −0.000727912 | − | 0.000420260i | ||||
\(452\) | −0.375886 | − | 0.375886i | −0.0176802 | − | 0.0176802i | ||||
\(453\) | −1.94979 | − | 0.0940613i | −0.0916090 | − | 0.00441938i | ||||
\(454\) | 1.33186 | − | 2.30685i | 0.0625074 | − | 0.108266i | ||||
\(455\) | −5.45358 | + | 36.4771i | −0.255668 | + | 1.71007i | ||||
\(456\) | −2.13695 | − | 0.684533i | −0.100072 | − | 0.0320562i | ||||
\(457\) | −29.3647 | + | 7.86826i | −1.37362 | + | 0.368062i | −0.868801 | − | 0.495161i | \(-0.835109\pi\) |
−0.504823 | + | 0.863223i | \(0.668442\pi\) | |||||||
\(458\) | 3.91935 | − | 1.05019i | 0.183139 | − | 0.0490720i | ||||
\(459\) | 0.965318 | + | 8.19974i | 0.0450572 | + | 0.382731i | ||||
\(460\) | −20.5459 | − | 15.8620i | −0.957959 | − | 0.739570i | ||||
\(461\) | −8.41800 | + | 4.86013i | −0.392065 | + | 0.226359i | −0.683055 | − | 0.730367i | \(-0.739349\pi\) |
0.290989 | + | 0.956726i | \(0.406016\pi\) | |||||||
\(462\) | 9.04229 | − | 1.82391i | 0.420685 | − | 0.0848560i | ||||
\(463\) | −4.33415 | − | 16.1753i | −0.201425 | − | 0.751729i | −0.990510 | − | 0.137444i | \(-0.956111\pi\) |
0.789084 | − | 0.614285i | \(-0.210555\pi\) | |||||||
\(464\) | 6.78852i | 0.315149i | ||||||||
\(465\) | 0.685829 | + | 8.58216i | 0.0318046 | + | 0.397988i | ||||
\(466\) | 3.53473 | 0.163743 | ||||||||
\(467\) | 30.4192 | + | 8.15079i | 1.40763 | + | 0.377174i | 0.881079 | − | 0.472969i | \(-0.156818\pi\) |
0.526552 | + | 0.850143i | \(0.323485\pi\) | |||||||
\(468\) | −26.2731 | + | 21.6396i | −1.21448 | + | 1.00029i | ||||
\(469\) | 6.42575 | − | 22.6568i | 0.296714 | − | 1.04619i | ||||
\(470\) | 7.51429 | − | 0.966722i | 0.346608 | − | 0.0445915i | ||||
\(471\) | −5.19691 | − | 1.66473i | −0.239461 | − | 0.0767069i | ||||
\(472\) | 18.3681 | + | 4.92171i | 0.845458 | + | 0.226540i | ||||
\(473\) | −55.1579 | − | 14.7795i | −2.53616 | − | 0.679562i | ||||
\(474\) | 4.01449 | + | 1.28597i | 0.184391 | + | 0.0590664i | ||||
\(475\) | −1.05698 | + | 3.85356i | −0.0484974 | + | 0.176813i | ||||
\(476\) | 5.33059 | + | 5.48809i | 0.244327 | + | 0.251546i | ||||
\(477\) | 0.0492722 | + | 0.295193i | 0.00225602 | + | 0.0135160i | ||||
\(478\) | 9.62636 | + | 2.57937i | 0.440299 | + | 0.117978i | ||||
\(479\) | 21.1613 | 0.966883 | 0.483441 | − | 0.875377i | \(-0.339387\pi\) | ||||
0.483441 | + | 0.875377i | \(0.339387\pi\) | |||||||
\(480\) | 13.2511 | + | 11.2899i | 0.604827 | + | 0.515313i | ||||
\(481\) | − | 22.5498i | − | 1.02818i | ||||||
\(482\) | 2.51251 | + | 9.37683i | 0.114442 | + | 0.427103i | ||||
\(483\) | 21.9240 | − | 19.3314i | 0.997577 | − | 0.879608i | ||||
\(484\) | −18.1230 | + | 10.4633i | −0.823773 | + | 0.475605i | ||||
\(485\) | −11.1060 | + | 14.3855i | −0.504297 | + | 0.653212i | ||||
\(486\) | −6.61392 | + | 0.137438i | −0.300013 | + | 0.00623433i | ||||
\(487\) | 4.84683 | − | 1.29870i | 0.219631 | − | 0.0588499i | −0.147326 | − | 0.989088i | \(-0.547066\pi\) |
0.366956 | + | 0.930238i | \(0.380400\pi\) | |||||||
\(488\) | 1.09040 | − | 0.292171i | 0.0493600 | − | 0.0132260i | ||||
\(489\) | 33.4994 | + | 10.7309i | 1.51489 | + | 0.485268i | ||||
\(490\) | −1.07771 | + | 6.55451i | −0.0486859 | + | 0.296102i | ||||
\(491\) | −7.09012 | + | 12.2804i | −0.319973 | + | 0.554209i | −0.980482 | − | 0.196609i | \(-0.937007\pi\) |
0.660509 | + | 0.750818i | \(0.270340\pi\) | |||||||
\(492\) | 0.0118485 | 0.000571591i | 0.000534170 | 2.57693e-5i | ||||||
\(493\) | −2.58386 | − | 2.58386i | −0.116371 | − | 0.116371i | ||||
\(494\) | 1.83109 | + | 1.05718i | 0.0823847 | + | 0.0475649i | ||||
\(495\) | 15.0326 | − | 28.0440i | 0.675665 | − | 1.26048i | ||||
\(496\) | 6.56192i | 0.294639i | ||||||||
\(497\) | −2.32594 | − | 0.0338602i | −0.104333 | − | 0.00151884i | ||||
\(498\) | 0.314148 | − | 6.51195i | 0.0140773 | − | 0.291807i | ||||
\(499\) | − | 8.99781i | − | 0.402797i | −0.979509 | − | 0.201399i | \(-0.935451\pi\) | ||
0.979509 | − | 0.201399i | \(-0.0645487\pi\) | |||||||
\(500\) | 12.5290 | − | 16.0322i | 0.560314 | − | 0.716981i | ||||
\(501\) | 1.97253 | + | 9.09405i | 0.0881263 | + | 0.406292i | ||||
\(502\) | 0.912665 | + | 3.40611i | 0.0407342 | + | 0.152022i | ||||
\(503\) | 26.2812 | + | 26.2812i | 1.17182 | + | 1.17182i | 0.981776 | + | 0.190043i | \(0.0608628\pi\) |
0.190043 | + | 0.981776i | \(0.439137\pi\) | |||||||
\(504\) | −10.0498 | + | 8.03476i | −0.447654 | + | 0.357897i | ||||
\(505\) | 30.5309 | + | 12.7520i | 1.35861 | + | 0.567457i | ||||
\(506\) | 6.41964 | − | 11.1191i | 0.285388 | − | 0.494306i | ||||
\(507\) | 39.8338 | − | 20.5053i | 1.76908 | − | 0.910673i | ||||
\(508\) | 5.02020 | + | 1.34516i | 0.222735 | + | 0.0596817i | ||||
\(509\) | 25.4456 | 1.12786 | 0.563928 | − | 0.825824i | \(-0.309290\pi\) | ||||
0.563928 | + | 0.825824i | \(0.309290\pi\) | |||||||
\(510\) | −2.60327 | + | 0.208036i | −0.115275 | + | 0.00921200i | ||||
\(511\) | 14.5317 | − | 3.66789i | 0.642843 | − | 0.162258i | ||||
\(512\) | 16.1493 | + | 16.1493i | 0.713706 | + | 0.713706i | ||||
\(513\) | −1.53639 | − | 3.85798i | −0.0678332 | − | 0.170334i | ||||
\(514\) | −1.47359 | + | 2.55234i | −0.0649975 | + | 0.112579i | ||||
\(515\) | −38.4327 | + | 15.7866i | −1.69355 | + | 0.695641i | ||||
\(516\) | 37.0861 | − | 8.04411i | 1.63262 | − | 0.354122i | ||||
\(517\) | −9.80152 | − | 36.5798i | −0.431070 | − | 1.60878i | ||||
\(518\) | 0.0591152 | − | 4.06077i | 0.00259737 | − | 0.178420i | ||||
\(519\) | 2.78584 | − | 0.604259i | 0.122285 | − | 0.0265240i | ||||
\(520\) | −13.7039 | − | 17.9689i | −0.600958 | − | 0.787988i | ||||
\(521\) | −16.0858 | − | 9.28716i | −0.704733 | − | 0.406878i | 0.104375 | − | 0.994538i | \(-0.466716\pi\) |
−0.809108 | + | 0.587660i | \(0.800049\pi\) | |||||||
\(522\) | 2.25997 | − | 1.86140i | 0.0989163 | − | 0.0814712i | ||||
\(523\) | 4.55801 | − | 17.0107i | 0.199308 | − | 0.743827i | −0.791802 | − | 0.610778i | \(-0.790857\pi\) |
0.991110 | − | 0.133049i | \(-0.0424766\pi\) | |||||||
\(524\) | −8.09231 | − | 14.0163i | −0.353514 | − | 0.612304i | ||||
\(525\) | 15.0521 | + | 17.2753i | 0.656926 | + | 0.753955i | ||||
\(526\) | −1.85522 | + | 3.21333i | −0.0808914 | + | 0.140108i | ||||
\(527\) | −2.49762 | − | 2.49762i | −0.108798 | − | 0.108798i | ||||
\(528\) | 13.1236 | − | 20.3937i | 0.571133 | − | 0.887520i | ||||
\(529\) | − | 17.6840i | − | 0.768869i | ||||||
\(530\) | −0.0938906 | + | 0.0120791i | −0.00407835 | + | 0.000524684i | ||||
\(531\) | 14.5804 | + | 32.0290i | 0.632735 | + | 1.38994i | ||||
\(532\) | −3.30415 | − | 1.97233i | −0.143253 | − | 0.0855115i | ||||
\(533\) | −0.0226615 | − | 0.00607212i | −0.000981577 | − | 0.000263013i | ||||
\(534\) | −3.85994 | − | 4.25124i | −0.167036 | − | 0.183969i | ||||
\(535\) | −22.6619 | − | 17.4956i | −0.979758 | − | 0.756400i | ||||
\(536\) | 7.21474 | + | 12.4963i | 0.311629 | + | 0.539758i | ||||
\(537\) | 13.7100 | + | 8.82262i | 0.591632 | + | 0.380724i | ||||
\(538\) | −0.548582 | + | 2.04734i | −0.0236510 | + | 0.0882669i | ||||
\(539\) | 33.1889 | + | 0.966510i | 1.42955 | + | 0.0416305i | ||||
\(540\) | −0.352372 | + | 21.1425i | −0.0151637 | + | 0.909827i | ||||
\(541\) | −1.02066 | − | 1.76783i | −0.0438815 | − | 0.0760050i | 0.843250 | − | 0.537521i | \(-0.180639\pi\) |
−0.887132 | + | 0.461516i | \(0.847306\pi\) | |||||||
\(542\) | −1.57074 | + | 1.57074i | −0.0674691 | + | 0.0674691i | ||||
\(543\) | 0.526590 | − | 10.9156i | 0.0225982 | − | 0.468435i | ||||
\(544\) | −7.14203 | −0.306212 | ||||||||
\(545\) | 4.57560 | − | 3.48957i | 0.195997 | − | 0.149477i | ||||
\(546\) | 10.8592 | − | 5.39153i | 0.464732 | − | 0.230736i | ||||
\(547\) | 6.99530 | − | 26.1068i | 0.299097 | − | 1.11625i | −0.638811 | − | 0.769364i | \(-0.720573\pi\) |
0.937908 | − | 0.346883i | \(-0.112760\pi\) | |||||||
\(548\) | −8.30638 | − | 2.22569i | −0.354831 | − | 0.0950767i | ||||
\(549\) | 1.70027 | + | 1.21386i | 0.0725657 | + | 0.0518061i | ||||
\(550\) | 8.68638 | + | 5.08369i | 0.370389 | + | 0.216769i | ||||
\(551\) | 1.59166 | + | 0.918948i | 0.0678072 | + | 0.0391485i | ||||
\(552\) | −0.862965 | + | 17.8883i | −0.0367302 | + | 0.761378i | ||||
\(553\) | 13.0286 | + | 7.77712i | 0.554034 | + | 0.330717i | ||||
\(554\) | 3.75643 | + | 2.16878i | 0.159596 | + | 0.0921425i | ||||
\(555\) | −10.6633 | − | 9.08517i | −0.452633 | − | 0.385644i | ||||
\(556\) | − | 19.9489i | − | 0.846023i | ||||||
\(557\) | −12.5622 | + | 3.36603i | −0.532277 | + | 0.142623i | −0.514940 | − | 0.857226i | \(-0.672186\pi\) |
−0.0173375 | + | 0.999850i | \(0.505519\pi\) | |||||||
\(558\) | 2.18453 | − | 1.79927i | 0.0924787 | − | 0.0761690i | ||||
\(559\) | −75.0536 | −3.17443 | ||||||||
\(560\) | 10.3869 | + | 14.0387i | 0.438928 | + | 0.593244i | ||||
\(561\) | 2.76714 | + | 12.7575i | 0.116829 | + | 0.538620i | ||||
\(562\) | −6.05325 | − | 6.05325i | −0.255341 | − | 0.255341i | ||||
\(563\) | −7.35013 | + | 27.4311i | −0.309771 | + | 1.15608i | 0.618989 | + | 0.785400i | \(0.287543\pi\) |
−0.928760 | + | 0.370681i | \(0.879124\pi\) | |||||||
\(564\) | 16.9174 | + | 18.6324i | 0.712353 | + | 0.784567i | ||||
\(565\) | 0.647299 | + | 0.0871628i | 0.0272321 | + | 0.00366697i | ||||
\(566\) | − | 11.3159i | − | 0.475641i | ||||||
\(567\) | −23.3016 | − | 4.90263i | −0.978575 | − | 0.205891i | ||||
\(568\) | 1.00782 | − | 1.00782i | 0.0422871 | − | 0.0422871i | ||||
\(569\) | −39.1042 | − | 22.5768i | −1.63933 | − | 0.946470i | −0.981063 | − | 0.193689i | \(-0.937955\pi\) |
−0.658271 | − | 0.752781i | \(-0.728712\pi\) | |||||||
\(570\) | 1.23765 | − | 0.439954i | 0.0518396 | − | 0.0184277i | ||||
\(571\) | −17.7105 | − | 30.6755i | −0.741162 | − | 1.28373i | −0.951966 | − | 0.306203i | \(-0.900942\pi\) |
0.210804 | − | 0.977528i | \(-0.432392\pi\) | |||||||
\(572\) | −38.0540 | + | 38.0540i | −1.59112 | + | 1.59112i | ||||
\(573\) | −11.7359 | + | 18.2371i | −0.490273 | + | 0.761866i | ||||
\(574\) | −0.00406496 | − | 0.00115288i | −0.000169668 | − | 4.81201e-5i | ||||
\(575\) | 31.8914 | + | 0.188250i | 1.32997 | + | 0.00785058i | ||||
\(576\) | −1.15403 | + | 11.9331i | −0.0480846 | + | 0.497211i | ||||
\(577\) | 10.2024 | + | 38.0760i | 0.424733 | + | 1.58512i | 0.764506 | + | 0.644617i | \(0.222983\pi\) |
−0.339773 | + | 0.940507i | \(0.610350\pi\) | |||||||
\(578\) | −4.34371 | + | 4.34371i | −0.180675 | + | 0.180675i | ||||
\(579\) | −5.87715 | − | 1.88264i | −0.244246 | − | 0.0782398i | ||||
\(580\) | −5.67522 | − | 7.44147i | −0.235651 | − | 0.308990i | ||||
\(581\) | 6.40297 | − | 22.5764i | 0.265640 | − | 0.936628i | ||||
\(582\) | 5.96713 | + | 0.287865i | 0.247345 | + | 0.0119324i | ||||
\(583\) | 0.122469 | + | 0.457062i | 0.00507217 | + | 0.0189296i | ||||
\(584\) | −4.59145 | + | 7.95262i | −0.189995 | + | 0.329082i | ||||
\(585\) | 9.54480 | − | 40.7171i | 0.394629 | − | 1.68344i | ||||
\(586\) | −4.46115 | + | 2.57565i | −0.184288 | + | 0.106399i | ||||
\(587\) | −23.4064 | − | 6.27173i | −0.966086 | − | 0.258862i | −0.258912 | − | 0.965901i | \(-0.583364\pi\) |
−0.707175 | + | 0.707039i | \(0.750031\pi\) | |||||||
\(588\) | −19.9041 | + | 9.52364i | −0.820831 | + | 0.392748i | ||||
\(589\) | 1.53854 | + | 0.888274i | 0.0633942 | + | 0.0366007i | ||||
\(590\) | −10.2966 | + | 4.22945i | −0.423906 | + | 0.174124i | ||||
\(591\) | −16.9477 | − | 18.6658i | −0.697136 | − | 0.767807i | ||||
\(592\) | −7.54985 | − | 7.54985i | −0.310297 | − | 0.310297i | ||||
\(593\) | −4.86169 | + | 18.1441i | −0.199646 | + | 0.745088i | 0.791369 | + | 0.611338i | \(0.209369\pi\) |
−0.991015 | + | 0.133750i | \(0.957298\pi\) | |||||||
\(594\) | −10.3878 | + | 1.22290i | −0.426215 | + | 0.0501763i | ||||
\(595\) | −9.29696 | − | 1.38996i | −0.381138 | − | 0.0569828i | ||||
\(596\) | 2.55843 | + | 4.43133i | 0.104797 | + | 0.181514i | ||||
\(597\) | 5.54075 | − | 8.61013i | 0.226768 | − | 0.352389i | ||||
\(598\) | 4.36761 | − | 16.3002i | 0.178605 | − | 0.666563i | ||||
\(599\) | 31.1911 | − | 18.0082i | 1.27443 | − | 0.735795i | 0.298615 | − | 0.954374i | \(-0.403475\pi\) |
0.975819 | + | 0.218578i | \(0.0701419\pi\) | |||||||
\(600\) | −14.0183 | − | 0.759235i | −0.572297 | − | 0.0309956i | ||||
\(601\) | −3.32436 | + | 1.91932i | −0.135603 | + | 0.0782907i | −0.566267 | − | 0.824222i | \(-0.691613\pi\) |
0.430664 | + | 0.902513i | \(0.358280\pi\) | |||||||
\(602\) | −13.5157 | − | 0.196756i | −0.550857 | − | 0.00801918i | ||||
\(603\) | −9.36219 | + | 25.0086i | −0.381258 | + | 1.01843i | ||||
\(604\) | 1.77628 | − | 1.02553i | 0.0722757 | − | 0.0417284i | ||||
\(605\) | 9.90961 | − | 23.7256i | 0.402883 | − | 0.964584i | ||||
\(606\) | −2.30550 | − | 10.6292i | −0.0936547 | − | 0.431780i | ||||
\(607\) | −7.32400 | + | 7.32400i | −0.297272 | + | 0.297272i | −0.839944 | − | 0.542672i | \(-0.817413\pi\) |
0.542672 | + | 0.839944i | \(0.317413\pi\) | |||||||
\(608\) | 3.46978 | − | 0.929724i | 0.140718 | − | 0.0377053i | ||||
\(609\) | 9.43931 | − | 4.68655i | 0.382500 | − | 0.189908i | ||||
\(610\) | −0.403818 | + | 0.523062i | −0.0163501 | + | 0.0211782i | ||||
\(611\) | −24.8871 | − | 43.1058i | −1.00683 | − | 1.74387i | ||||
\(612\) | −5.51530 | − | 6.69626i | −0.222943 | − | 0.270680i | ||||
\(613\) | 10.8496 | + | 40.4914i | 0.438212 | + | 1.63543i | 0.733260 | + | 0.679948i | \(0.237998\pi\) |
−0.295047 | + | 0.955483i | \(0.595335\pi\) | |||||||
\(614\) | 4.07934 | − | 7.06563i | 0.164629 | − | 0.285146i | ||||
\(615\) | −0.0120015 | + | 0.00826972i | −0.000483949 | + | 0.000333467i | ||||
\(616\) | −14.5930 | + | 14.1743i | −0.587971 | + | 0.571097i | ||||
\(617\) | 1.63280 | − | 0.437506i | 0.0657339 | − | 0.0176133i | −0.225802 | − | 0.974173i | \(-0.572500\pi\) |
0.291536 | + | 0.956560i | \(0.405834\pi\) | |||||||
\(618\) | 11.4852 | + | 7.39093i | 0.462004 | + | 0.297307i | ||||
\(619\) | 2.86103 | 0.114994 | 0.0574972 | − | 0.998346i | \(-0.481688\pi\) | ||||
0.0574972 | + | 0.998346i | \(0.481688\pi\) | |||||||
\(620\) | −5.48579 | − | 7.19308i | −0.220315 | − | 0.288881i | ||||
\(621\) | −26.5684 | + | 19.8138i | −1.06615 | + | 0.795100i | ||||
\(622\) | −5.15592 | + | 5.15592i | −0.206733 | + | 0.206733i | ||||
\(623\) | −10.0727 | − | 18.0481i | −0.403554 | − | 0.723083i | ||||
\(624\) | 9.72374 | − | 30.3552i | 0.389261 | − | 1.21518i | ||||
\(625\) | −0.295132 | + | 24.9983i | −0.0118053 | + | 0.999930i | ||||
\(626\) | −0.753966 | + | 0.435302i | −0.0301345 | + | 0.0173982i | ||||
\(627\) | −3.00506 | − | 5.83767i | −0.120011 | − | 0.233134i | ||||
\(628\) | 5.53845 | − | 1.48402i | 0.221008 | − | 0.0592190i | ||||
\(629\) | 5.74729 | 0.229159 | ||||||||
\(630\) | 1.82557 | − | 7.30732i | 0.0727325 | − | 0.291130i | ||||
\(631\) | −29.9238 | −1.19125 | −0.595624 | − | 0.803264i | \(-0.703095\pi\) | ||||
−0.595624 | + | 0.803264i | \(0.703095\pi\) | |||||||
\(632\) | −8.98002 | + | 2.40619i | −0.357206 | + | 0.0957130i | ||||
\(633\) | 5.60834 | − | 8.71515i | 0.222911 | − | 0.346396i | ||||
\(634\) | −9.05693 | + | 5.22902i | −0.359697 | + | 0.207671i | ||||
\(635\) | −5.90686 | + | 2.42630i | −0.234407 | + | 0.0962849i | ||||
\(636\) | −0.211382 | − | 0.232811i | −0.00838186 | − | 0.00923156i | ||||
\(637\) | 42.4639 | − | 10.0630i | 1.68248 | − | 0.398712i | ||||
\(638\) | 3.27334 | − | 3.27334i | 0.129593 | − | 0.129593i | ||||
\(639\) | 2.62540 | + | 0.253899i | 0.103859 | + | 0.0100441i | ||||
\(640\) | −23.6800 | − | 3.18866i | −0.936033 | − | 0.126043i | ||||
\(641\) | 7.33565 | 0.289741 | 0.144870 | − | 0.989451i | \(-0.453723\pi\) | ||||
0.144870 | + | 0.989451i | \(0.453723\pi\) | |||||||
\(642\) | −0.453482 | + | 9.40018i | −0.0178975 | + | 0.370995i | ||||
\(643\) | 43.3407 | − | 11.6131i | 1.70919 | − | 0.457976i | 0.733964 | − | 0.679189i | \(-0.237668\pi\) |
0.975226 | + | 0.221213i | \(0.0710015\pi\) | |||||||
\(644\) | −8.37985 | + | 29.5468i | −0.330213 | + | 1.16431i | ||||
\(645\) | −30.2386 | + | 35.4913i | −1.19064 | + | 1.39747i | ||||
\(646\) | −0.269445 | + | 0.466692i | −0.0106012 | + | 0.0183618i | ||||
\(647\) | 5.56880 | + | 20.7830i | 0.218932 | + | 0.817066i | 0.984745 | + | 0.174003i | \(0.0556701\pi\) |
−0.765813 | + | 0.643063i | \(0.777663\pi\) | |||||||
\(648\) | 12.1021 | − | 8.14836i | 0.475417 | − | 0.320098i | ||||
\(649\) | 27.8206 | + | 48.1867i | 1.09205 | + | 1.89149i | ||||
\(650\) | 12.7572 | + | 3.49912i | 0.500378 | + | 0.137247i | ||||
\(651\) | 9.12423 | − | 4.53011i | 0.357607 | − | 0.177549i | ||||
\(652\) | −35.7010 | + | 9.56605i | −1.39816 | + | 0.374635i | ||||
\(653\) | −1.12036 | + | 1.12036i | −0.0438430 | + | 0.0438430i | −0.728688 | − | 0.684845i | \(-0.759870\pi\) |
0.684845 | + | 0.728688i | \(0.259870\pi\) | |||||||
\(654\) | −1.80142 | − | 0.577051i | −0.0704410 | − | 0.0225645i | ||||
\(655\) | 18.3493 | + | 7.66407i | 0.716968 | + | 0.299460i | ||||
\(656\) | −0.00962022 | + | 0.00555424i | −0.000375607 | + | 0.000216857i | ||||
\(657\) | −16.7622 | + | 2.79787i | −0.653957 | + | 0.109155i | ||||
\(658\) | −4.36867 | − | 7.82773i | −0.170309 | − | 0.305157i | ||||
\(659\) | 33.4367 | − | 19.3047i | 1.30251 | − | 0.752005i | 0.321676 | − | 0.946850i | \(-0.395754\pi\) |
0.980834 | + | 0.194845i | \(0.0624203\pi\) | |||||||
\(660\) | 2.66324 | + | 33.3266i | 0.103667 | + | 1.29724i | ||||
\(661\) | −12.0665 | + | 6.96659i | −0.469332 | + | 0.270969i | −0.715960 | − | 0.698141i | \(-0.754011\pi\) |
0.246628 | + | 0.969110i | \(0.420677\pi\) | |||||||
\(662\) | −1.54688 | + | 5.77304i | −0.0601213 | + | 0.224376i | ||||
\(663\) | 7.85281 | + | 15.2550i | 0.304978 | + | 0.592454i | ||||
\(664\) | 7.18915 | + | 12.4520i | 0.278993 | + | 0.483231i | ||||
\(665\) | 4.69764 | − | 0.534968i | 0.182167 | − | 0.0207452i | ||||
\(666\) | −0.443272 | + | 4.58358i | −0.0171765 | + | 0.177610i | ||||
\(667\) | 3.79652 | − | 14.1688i | 0.147002 | − | 0.548618i | ||||
\(668\) | −6.91375 | − | 6.91375i | −0.267501 | − | 0.267501i | ||||
\(669\) | −6.59365 | + | 20.5838i | −0.254925 | + | 0.795816i | ||||
\(670\) | −7.79408 | − | 3.25540i | −0.301112 | − | 0.125767i | ||||
\(671\) | 2.86054 | + | 1.65154i | 0.110430 | + | 0.0637568i | ||||
\(672\) | 6.56853 | − | 19.5226i | 0.253386 | − | 0.753099i | ||||
\(673\) | 15.8006 | + | 4.23376i | 0.609069 | + | 0.163199i | 0.550154 | − | 0.835064i | \(-0.314569\pi\) |
0.0589152 | + | 0.998263i | \(0.481236\pi\) | |||||||
\(674\) | 7.34972 | − | 4.24336i | 0.283100 | − | 0.163448i | ||||
\(675\) | −15.4087 | − | 20.9182i | −0.593083 | − | 0.805142i | ||||
\(676\) | −23.5372 | + | 40.7676i | −0.905275 | + | 1.56798i | ||||
\(677\) | −1.61713 | − | 6.03519i | −0.0621512 | − | 0.231951i | 0.927863 | − | 0.372922i | \(-0.121644\pi\) |
−0.990014 | + | 0.140971i | \(0.954978\pi\) | |||||||
\(678\) | −0.0982659 | − | 0.190892i | −0.00377388 | − | 0.00733118i | ||||
\(679\) | 20.6876 | + | 5.86727i | 0.793916 | + | 0.225165i | ||||
\(680\) | 4.57975 | − | 3.49274i | 0.175625 | − | 0.133940i | ||||
\(681\) | −8.04900 | + | 7.30815i | −0.308438 | + | 0.280049i | ||||
\(682\) | 3.16408 | − | 3.16408i | 0.121159 | − | 0.121159i | ||||
\(683\) | −10.3789 | − | 38.7345i | −0.397137 | − | 1.48213i | −0.818110 | − | 0.575061i | \(-0.804978\pi\) |
0.420973 | − | 0.907073i | \(-0.361689\pi\) | |||||||
\(684\) | 3.55116 | + | 2.53525i | 0.135782 | + | 0.0969377i | ||||
\(685\) | 9.77346 | − | 4.01455i | 0.373425 | − | 0.153388i | ||||
\(686\) | 7.67329 | − | 1.70083i | 0.292968 | − | 0.0649381i | ||||
\(687\) | −16.5416 | − | 0.797995i | −0.631100 | − | 0.0304454i | ||||
\(688\) | −25.1285 | + | 25.1285i | −0.958016 | + | 0.958016i | ||||
\(689\) | 0.310963 | + | 0.538604i | 0.0118468 | + | 0.0205192i | ||||
\(690\) | −5.94833 | − | 8.63258i | −0.226449 | − | 0.328637i | ||||
\(691\) | 31.2011 | + | 18.0140i | 1.18695 | + | 0.685284i | 0.957611 | − | 0.288063i | \(-0.0930114\pi\) |
0.229335 | + | 0.973347i | \(0.426345\pi\) | |||||||
\(692\) | −2.11794 | + | 2.11794i | −0.0805118 | + | 0.0805118i | ||||
\(693\) | −37.4171 | − | 4.16913i | −1.42136 | − | 0.158372i | ||||
\(694\) | 11.0865i | 0.420840i | ||||||||
\(695\) | 14.8637 | + | 19.4896i | 0.563812 | + | 0.739282i | ||||
\(696\) | −1.96983 | + | 6.14934i | −0.0746662 | + | 0.233090i | ||||
\(697\) | 0.00154761 | − | 0.00577575i | 5.86198e−5 | − | 0.000218772i | ||||
\(698\) | 2.42316 | + | 2.42316i | 0.0917180 | + | 0.0917180i | ||||
\(699\) | −13.7390 | − | 4.40105i | −0.519658 | − | 0.166463i | ||||
\(700\) | −23.1224 | − | 6.70553i | −0.873945 | − | 0.253445i | ||||
\(701\) | −24.5912 | −0.928796 | −0.464398 | − | 0.885627i | \(-0.653729\pi\) | ||||
−0.464398 | + | 0.885627i | \(0.653729\pi\) | |||||||
\(702\) | −12.7718 | + | 5.08621i | −0.482041 | + | 0.191967i | ||||
\(703\) | −2.79218 | + | 0.748162i | −0.105309 | + | 0.0282175i | ||||
\(704\) | 18.9553i | 0.714406i | ||||||||
\(705\) | −30.4107 | − | 5.59843i | −1.14533 | − | 0.210849i | ||||
\(706\) | 2.87938 | + | 1.66241i | 0.108367 | + | 0.0625657i | ||||
\(707\) | 0.569857 | − | 39.1449i | 0.0214317 | − | 1.47220i | ||||
\(708\) | −31.0946 | − | 20.0099i | −1.16861 | − | 0.752017i | ||||
\(709\) | 19.3877 | + | 11.1935i | 0.728122 | + | 0.420381i | 0.817735 | − | 0.575595i | \(-0.195230\pi\) |
−0.0896127 | + | 0.995977i | \(0.528563\pi\) | |||||||
\(710\) | −0.111341 | + | 0.826851i | −0.00417854 | + | 0.0310312i | ||||
\(711\) | −14.0026 | − | 9.99677i | −0.525140 | − | 0.374908i | ||||
\(712\) | 12.2323 | + | 3.27765i | 0.458426 | + | 0.122835i | ||||
\(713\) | 3.66979 | − | 13.6958i | 0.137435 | − | 0.512914i | ||||
\(714\) | 1.37414 | + | 2.76770i | 0.0514260 | + | 0.103579i | ||||
\(715\) | 8.82420 | − | 65.5313i | 0.330006 | − | 2.45073i | ||||
\(716\) | −17.1305 | −0.640195 | ||||||||
\(717\) | −34.2048 | − | 22.0113i | −1.27740 | − | 0.822029i | ||||
\(718\) | 6.12233 | − | 6.12233i | 0.228483 | − | 0.228483i | ||||
\(719\) | 19.3130 | + | 33.4510i | 0.720252 | + | 1.24751i | 0.960899 | + | 0.276900i | \(0.0893072\pi\) |
−0.240646 | + | 0.970613i | \(0.577359\pi\) | |||||||
\(720\) | −10.4367 | − | 16.8281i | −0.388954 | − | 0.627145i | ||||
\(721\) | 34.2524 | + | 35.2644i | 1.27563 | + | 1.31331i | ||||
\(722\) | −2.01674 | + | 7.52657i | −0.0750552 | + | 0.280110i | ||||
\(723\) | 1.90916 | − | 39.5748i | 0.0710024 | − | 1.47180i | ||||
\(724\) | 5.74133 | + | 9.94428i | 0.213375 | + | 0.369576i | ||||
\(725\) | 11.0891 | + | 3.04158i | 0.411839 | + | 0.112962i | ||||
\(726\) | −8.25995 | + | 1.79161i | −0.306555 | + | 0.0664930i | ||||
\(727\) | 18.9630 | + | 5.08111i | 0.703298 | + | 0.188448i | 0.592707 | − | 0.805418i | \(-0.298059\pi\) |
0.110591 | + | 0.993866i | \(0.464726\pi\) | |||||||
\(728\) | −13.7049 | + | 22.9592i | −0.507938 | + | 0.850925i | ||||
\(729\) | 25.8785 | + | 7.70070i | 0.958465 | + | 0.285211i | ||||
\(730\) | −0.685900 | − | 5.33147i | −0.0253863 | − | 0.197327i | ||||
\(731\) | − | 19.1290i | − | 0.707511i | ||||||
\(732\) | −2.19252 | − | 0.105771i | −0.0810379 | − | 0.00390941i | ||||
\(733\) | 0.457484 | + | 0.457484i | 0.0168976 | + | 0.0168976i | 0.715505 | − | 0.698608i | \(-0.246197\pi\) |
−0.698608 | + | 0.715505i | \(0.746197\pi\) | |||||||
\(734\) | −0.195288 | + | 0.338248i | −0.00720819 | + | 0.0124850i | ||||
\(735\) | 12.3498 | − | 24.1347i | 0.455531 | − | 0.890220i | ||||
\(736\) | −14.3350 | − | 24.8289i | −0.528393 | − | 0.915204i | ||||
\(737\) | −10.9276 | + | 40.7823i | −0.402522 | + | 1.50223i | ||||
\(738\) | 0.00448692 | + | 0.00167972i | 0.000165166 | + | 6.18312e-5i | ||||
\(739\) | −30.0382 | − | 17.3425i | −1.10497 | − | 0.637956i | −0.167450 | − | 0.985881i | \(-0.553553\pi\) |
−0.937522 | + | 0.347925i | \(0.886886\pi\) | |||||||
\(740\) | 14.5877 | + | 1.96433i | 0.536256 | + | 0.0722102i | ||||
\(741\) | −5.80093 | − | 6.38899i | −0.213103 | − | 0.234706i | ||||
\(742\) | 0.0545863 | + | 0.0978071i | 0.00200393 | + | 0.00359061i | ||||
\(743\) | −1.55139 | − | 5.78988i | −0.0569151 | − | 0.212410i | 0.931612 | − | 0.363455i | \(-0.118403\pi\) |
−0.988527 | + | 0.151045i | \(0.951736\pi\) | |||||||
\(744\) | −1.90408 | + | 5.94408i | −0.0698069 | + | 0.217921i | ||||
\(745\) | −5.80125 | − | 2.42304i | −0.212541 | − | 0.0887734i | ||||
\(746\) | −5.73804 | + | 9.93858i | −0.210085 | + | 0.363877i | ||||
\(747\) | −9.32899 | + | 24.9199i | −0.341330 | + | 0.911773i | ||||
\(748\) | −9.69885 | − | 9.69885i | −0.354625 | − | 0.354625i | ||||
\(749\) | −9.24286 | + | 32.5897i | −0.337727 | + | 1.19080i | ||||
\(750\) | 6.79445 | − | 4.62284i | 0.248098 | − | 0.168802i | ||||
\(751\) | −21.8389 | −0.796914 | −0.398457 | − | 0.917187i | \(-0.630454\pi\) | ||||
−0.398457 | + | 0.917187i | \(0.630454\pi\) | |||||||
\(752\) | −22.7646 | − | 6.09974i | −0.830138 | − | 0.222435i | ||||
\(753\) | 0.693498 | − | 14.3754i | 0.0252725 | − | 0.523871i | ||||
\(754\) | 3.04217 | − | 5.26920i | 0.110789 | − | 0.191893i | ||||
\(755\) | −0.971265 | + | 2.32540i | −0.0353479 | + | 0.0846301i | ||||
\(756\) | 23.3765 | − | 8.91737i | 0.850194 | − | 0.324322i | ||||
\(757\) | −14.0966 | − | 14.0966i | −0.512348 | − | 0.512348i | 0.402897 | − | 0.915245i | \(-0.368003\pi\) |
−0.915245 | + | 0.402897i | \(0.868003\pi\) | |||||||
\(758\) | −2.12689 | − | 7.93768i | −0.0772523 | − | 0.288309i | ||||
\(759\) | −38.7966 | + | 35.2256i | −1.40823 | + | 1.27861i | ||||
\(760\) | −1.77028 | + | 2.29303i | −0.0642150 | + | 0.0831771i | ||||
\(761\) | − | 31.2414i | − | 1.13250i | −0.824233 | − | 0.566251i | \(-0.808393\pi\) | ||
0.824233 | − | 0.566251i | \(-0.191607\pi\) | |||||||
\(762\) | 1.76521 | + | 1.13594i | 0.0639468 | + | 0.0411507i | ||||
\(763\) | −5.84634 | − | 3.48982i | −0.211652 | − | 0.126340i | ||||
\(764\) | − | 22.7869i | − | 0.824403i | ||||||
\(765\) | 10.3776 | + | 2.43269i | 0.375203 | + | 0.0879542i | ||||
\(766\) | 1.56059 | + | 0.901006i | 0.0563863 | + | 0.0325547i | ||||
\(767\) | 51.7117 | + | 51.7117i | 1.86720 | + | 1.86720i | ||||
\(768\) | −2.74114 | − | 5.32496i | −0.0989122 | − | 0.192148i | ||||
\(769\) | 19.1163 | − | 33.1105i | 0.689353 | − | 1.19399i | −0.282695 | − | 0.959210i | \(-0.591228\pi\) |
0.972048 | − | 0.234784i | \(-0.0754383\pi\) | |||||||
\(770\) | 1.76086 | − | 11.7777i | 0.0634568 | − | 0.424441i | ||||
\(771\) | 8.90555 | − | 8.08586i | 0.320726 | − | 0.291205i | ||||
\(772\) | 6.26341 | − | 1.67827i | 0.225425 | − | 0.0604024i | ||||
\(773\) | 10.8993 | − | 2.92047i | 0.392022 | − | 0.105042i | −0.0574232 | − | 0.998350i | \(-0.518288\pi\) |
0.449445 | + | 0.893308i | \(0.351622\pi\) | |||||||
\(774\) | 15.2558 | + | 1.47536i | 0.548357 | + | 0.0530309i | ||||
\(775\) | 10.7189 | + | 2.94006i | 0.385036 | + | 0.105610i | ||||
\(776\) | −11.4102 | + | 6.58767i | −0.409602 | + | 0.236484i | ||||
\(777\) | −5.28578 | + | 15.7101i | −0.189626 | + | 0.563596i | ||||
\(778\) | 3.12607 | + | 11.6667i | 0.112075 | + | 0.418270i | ||||
\(779\) | 0.00300747i | 0.000107754i | ||||||||
\(780\) | 14.7181 | + | 41.4040i | 0.526991 | + | 1.48250i | ||||
\(781\) | 4.17037 | 0.149227 | ||||||||
\(782\) | 4.15444 | + | 1.11318i | 0.148562 | + | 0.0398072i | ||||
\(783\) | −11.1018 | + | 4.42115i | −0.396747 | + | 0.157999i | ||||
\(784\) | 10.8481 | − | 17.5864i | 0.387431 | − | 0.628087i | ||||
\(785\) | −4.30520 | + | 5.57649i | −0.153659 | + | 0.199033i | ||||
\(786\) | −1.38563 | − | 6.38823i | −0.0494238 | − | 0.227860i | ||||
\(787\) | 46.3649 | + | 12.4234i | 1.65273 | + | 0.442848i | 0.960375 | − | 0.278709i | \(-0.0899066\pi\) |
0.692355 | + | 0.721557i | \(0.256573\pi\) | |||||||
\(788\) | 25.5880 | + | 6.85628i | 0.911535 | + | 0.244245i | ||||
\(789\) | 11.2119 | − | 10.1799i | 0.399153 | − | 0.362414i | ||||
\(790\) | 3.32566 | − | 4.30770i | 0.118322 | − | 0.153261i | ||||
\(791\) | −0.189130 | − | 0.749307i | −0.00672470 | − | 0.0266423i | ||||
\(792\) | 17.8056 | − | 14.6654i | 0.632696 | − | 0.521112i | ||||
\(793\) | 4.19343 | + | 1.12363i | 0.148913 | + | 0.0399011i | ||||
\(794\) | 3.67126 | 0.130288 | ||||||||
\(795\) | 0.379980 | + | 0.0699520i | 0.0134765 | + | 0.00248094i | ||||
\(796\) | 10.7582i | 0.381315i | ||||||||
\(797\) | −3.43103 | − | 12.8048i | −0.121533 | − | 0.453568i | 0.878159 | − | 0.478369i | \(-0.158772\pi\) |
−0.999692 | + | 0.0248003i | \(0.992105\pi\) | |||||||
\(798\) | −1.02788 | − | 1.16574i | −0.0363867 | − | 0.0412667i | ||||
\(799\) | 10.9864 | − | 6.34301i | 0.388671 | − | 0.224400i | ||||
\(800\) | 19.5292 | − | 11.1220i | 0.690462 | − | 0.393223i | ||||
\(801\) | 9.70991 | + | 21.3300i | 0.343083 | + | 0.753657i | ||||
\(802\) | −14.2529 | + | 3.81905i | −0.503287 | + | 0.134855i | ||||
\(803\) | −25.9538 | + | 6.95429i | −0.915889 | + | 0.245412i | ||||
\(804\) | −5.94760 | − | 27.4205i | −0.209756 | − | 0.967045i | ||||
\(805\) | −13.8280 | − | 35.1102i | −0.487375 | − | 1.23747i | ||||
\(806\) | 2.94063 | − | 5.09331i | 0.103579 | − | 0.179404i | ||||
\(807\) | 4.68138 | − | 7.27469i | 0.164792 | − | 0.256081i | ||||
\(808\) | 16.9613 | + | 16.9613i | 0.596697 | + | 0.596697i | ||||
\(809\) | −19.0619 | − | 11.0054i | −0.670179 | − | 0.386928i | 0.125965 | − | 0.992035i | \(-0.459797\pi\) |
−0.796145 | + | 0.605106i | \(0.793131\pi\) | |||||||
\(810\) | −2.74052 | + | 8.08873i | −0.0962920 | + | 0.284209i | ||||
\(811\) | − | 8.53866i | − | 0.299833i | −0.988699 | − | 0.149916i | \(-0.952100\pi\) | ||
0.988699 | − | 0.149916i | \(-0.0479005\pi\) | |||||||
\(812\) | −5.67563 | + | 9.50812i | −0.199176 | + | 0.333669i | ||||
\(813\) | 8.06097 | − | 4.14955i | 0.282711 | − | 0.145531i | ||||
\(814\) | 7.28089i | 0.255195i | ||||||||
\(815\) | 27.7514 | − | 35.9462i | 0.972089 | − | 1.25914i | ||||
\(816\) | 7.73666 | + | 2.47830i | 0.270837 | + | 0.0867578i | ||||
\(817\) | 2.49014 | + | 9.29334i | 0.0871190 | + | 0.325133i | ||||
\(818\) | 5.30267 | + | 5.30267i | 0.185404 | + | 0.185404i | ||||
\(819\) | −48.9213 | + | 7.43546i | −1.70945 | + | 0.259816i | ||||
\(820\) | 0.00590218 | − | 0.0141310i | 0.000206113 | − | 0.000493477i | ||||
\(821\) | −9.02493 | + | 15.6316i | −0.314972 | + | 0.545548i | −0.979432 | − | 0.201777i | \(-0.935329\pi\) |
0.664459 | + | 0.747324i | \(0.268662\pi\) | |||||||
\(822\) | −2.92070 | − | 1.87952i | −0.101871 | − | 0.0655557i | ||||
\(823\) | −29.9502 | − | 8.02514i | −1.04400 | − | 0.279739i | −0.304230 | − | 0.952599i | \(-0.598399\pi\) |
−0.739770 | + | 0.672860i | \(0.765066\pi\) | |||||||
\(824\) | −30.1213 | −1.04933 | ||||||||
\(825\) | −27.4332 | − | 30.5749i | −0.955101 | − | 1.06448i | ||||
\(826\) | 9.17669 | + | 9.44782i | 0.319298 | + | 0.328732i | ||||
\(827\) | −14.5474 | − | 14.5474i | −0.505864 | − | 0.505864i | 0.407390 | − | 0.913254i | \(-0.366439\pi\) |
−0.913254 | + | 0.407390i | \(0.866439\pi\) | |||||||
\(828\) | 12.2093 | − | 32.6139i | 0.424302 | − | 1.13341i | ||||
\(829\) | 5.48833 | − | 9.50607i | 0.190618 | − | 0.330159i | −0.754837 | − | 0.655912i | \(-0.772284\pi\) |
0.945455 | + | 0.325752i | \(0.105618\pi\) | |||||||
\(830\) | −7.76645 | − | 3.24385i | −0.269577 | − | 0.112596i | ||||
\(831\) | −11.9004 | − | 13.1068i | −0.412822 | − | 0.454671i | ||||
\(832\) | 6.44815 | + | 24.0648i | 0.223549 | + | 0.834298i | ||||
\(833\) | 2.56478 | + | 10.8228i | 0.0888643 | + | 0.374989i | ||||
\(834\) | 2.45793 | − | 7.67307i | 0.0851111 | − | 0.265697i | ||||
\(835\) | 11.9059 | + | 1.60321i | 0.412021 | + | 0.0554812i | ||||
\(836\) | 5.97451 | + | 3.44938i | 0.206633 | + | 0.119299i | ||||
\(837\) | −10.7312 | + | 4.27358i | −0.370926 | + | 0.147716i | ||||
\(838\) | 3.43396 | − | 12.8157i | 0.118624 | − | 0.442711i | ||||
\(839\) | −11.2176 | − | 19.4295i | −0.387276 | − | 0.670782i | 0.604806 | − | 0.796373i | \(-0.293251\pi\) |
−0.992082 | + | 0.125591i | \(0.959917\pi\) | |||||||
\(840\) | 5.33531 | + | 15.7309i | 0.184086 | + | 0.542767i | ||||
\(841\) | −11.8556 | + | 20.5345i | −0.408814 | + | 0.708087i | ||||
\(842\) | −9.04189 | − | 9.04189i | −0.311604 | − | 0.311604i | ||||
\(843\) | 15.9914 | + | 31.0650i | 0.550771 | + | 1.06994i | ||||
\(844\) | 10.8894i | 0.374830i | ||||||||
\(845\) | −7.38021 | − | 57.3661i | −0.253887 | − | 1.97345i | ||||
\(846\) | 4.21133 | + | 9.25111i | 0.144789 | + | 0.318060i | ||||
\(847\) | −30.4196 | − | 0.442838i | −1.04523 | − | 0.0152161i | ||||
\(848\) | 0.284442 | + | 0.0762159i | 0.00976777 | + | 0.00261727i | ||||
\(849\) | −14.0892 | + | 43.9832i | −0.483541 | + | 1.50950i | ||||
\(850\) | −0.891823 | + | 3.25144i | −0.0305893 | + | 0.111523i | ||||
\(851\) | 11.5355 | + | 19.9801i | 0.395433 | + | 0.684910i | ||||
\(852\) | −2.46412 | + | 1.26846i | −0.0844192 | + | 0.0434566i | ||||
\(853\) | −13.3993 | + | 50.0067i | −0.458782 | + | 1.71220i | 0.217942 | + | 0.975962i | \(0.430066\pi\) |
−0.676724 | + | 0.736237i | \(0.736601\pi\) | |||||||
\(854\) | 0.752208 | + | 0.213336i | 0.0257400 | + | 0.00730021i | ||||
\(855\) | −5.35838 | + | 0.169056i | −0.183253 | + | 0.00578160i | ||||
\(856\) | −10.3777 | − | 17.9748i | −0.354704 | − | 0.614365i | ||||
\(857\) | −11.3042 | + | 11.3042i | −0.386143 | + | 0.386143i | −0.873309 | − | 0.487167i | \(-0.838030\pi\) |
0.487167 | + | 0.873309i | \(0.338030\pi\) | |||||||
\(858\) | −19.3256 | + | 9.94825i | −0.659765 | + | 0.339628i | ||||
\(859\) | 30.8970 | 1.05419 | 0.527096 | − | 0.849805i | \(-0.323281\pi\) | ||||
0.527096 | + | 0.849805i | \(0.323281\pi\) | |||||||
\(860\) | 6.53797 | − | 48.5530i | 0.222943 | − | 1.65564i | ||||
\(861\) | 0.0143645 | + | 0.00954230i | 0.000489542 | + | 0.000325201i | ||||
\(862\) | 1.52157 | − | 5.67857i | 0.0518248 | − | 0.193413i | ||||
\(863\) | 36.6009 | + | 9.80717i | 1.24591 | + | 0.333840i | 0.820754 | − | 0.571281i | \(-0.193553\pi\) |
0.425153 | + | 0.905121i | \(0.360220\pi\) | |||||||
\(864\) | −9.23297 | + | 21.4534i | −0.314112 | + | 0.729860i | ||||
\(865\) | 0.491120 | − | 3.64722i | 0.0166986 | − | 0.124009i | ||||
\(866\) | 3.88451 | + | 2.24272i | 0.132001 | + | 0.0762107i | ||||
\(867\) | 22.2917 | − | 11.4751i | 0.757067 | − | 0.389716i | ||||
\(868\) | −5.48618 | + | 9.19074i | −0.186213 | + | 0.311954i | ||||
\(869\) | −23.5581 | − | 13.6013i | −0.799155 | − | 0.461393i | ||||
\(870\) | −1.26602 | − | 3.56151i | −0.0429222 | − | 0.120746i | ||||
\(871\) | 55.4926i | 1.88030i | ||||||||
\(872\) | 4.02960 | − | 1.07973i | 0.136459 | − | 0.0365642i | ||||
\(873\) | −22.8350 | − | 8.54849i | −0.772848 | − | 0.289322i | ||||
\(874\) | −2.16324 | −0.0731727 | ||||||||
\(875\) | 27.5862 | − | 10.6771i | 0.932584 | − | 0.360952i | ||||
\(876\) | 13.2199 | − | 12.0031i | 0.446660 | − | 0.405548i | ||||
\(877\) | 31.6505 | + | 31.6505i | 1.06876 | + | 1.06876i | 0.997454 | + | 0.0713073i | \(0.0227171\pi\) |
0.0713073 | + | 0.997454i | \(0.477283\pi\) | |||||||
\(878\) | 1.05419 | − | 3.93428i | 0.0355771 | − | 0.132776i | ||||
\(879\) | 20.5468 | − | 4.45667i | 0.693026 | − | 0.150320i | ||||
\(880\) | −18.9860 | − | 24.8948i | −0.640017 | − | 0.839204i | ||||
\(881\) | 23.7201i | 0.799149i | 0.916701 | + | 0.399575i | \(0.130842\pi\) | ||||
−0.916701 | + | 0.399575i | \(0.869158\pi\) | |||||||
\(882\) | −8.82924 | + | 1.21073i | −0.297296 | + | 0.0407674i | ||||
\(883\) | 3.24238 | − | 3.24238i | 0.109115 | − | 0.109115i | −0.650442 | − | 0.759556i | \(-0.725416\pi\) |
0.759556 | + | 0.650442i | \(0.225416\pi\) | |||||||
\(884\) | −15.6125 | − | 9.01391i | −0.525107 | − | 0.303170i | ||||
\(885\) | 45.2877 | − | 3.61909i | 1.52233 | − | 0.121654i | ||||
\(886\) | −2.83122 | − | 4.90383i | −0.0951169 | − | 0.164747i | ||||
\(887\) | 15.1907 | − | 15.1907i | 0.510055 | − | 0.510055i | −0.404488 | − | 0.914543i | \(-0.632550\pi\) |
0.914543 | + | 0.404488i | \(0.132550\pi\) | |||||||
\(888\) | −4.64825 | − | 9.02974i | −0.155985 | − | 0.303018i | ||||
\(889\) | 5.26438 | + | 5.41992i | 0.176562 | + | 0.181778i | ||||
\(890\) | −6.85713 | + | 2.81663i | −0.229851 | + | 0.0944138i | ||||
\(891\) | 41.8984 | + | 8.18039i | 1.40365 | + | 0.274054i | ||||
\(892\) | −5.87789 | − | 21.9366i | −0.196806 | − | 0.734492i | ||||
\(893\) | −4.51176 | + | 4.51176i | −0.150980 | + | 0.150980i | ||||
\(894\) | 0.438075 | + | 2.01968i | 0.0146514 | + | 0.0675480i | ||||
\(895\) | 16.7360 | − | 12.7637i | 0.559424 | − | 0.426644i | ||||
\(896\) | 6.91890 | + | 27.4117i | 0.231144 | + | 0.915761i | ||||
\(897\) | −37.2715 | + | 57.9185i | −1.24446 | + | 1.93384i | ||||
\(898\) | 1.44340 | + | 5.38684i | 0.0481669 | + | 0.179761i | ||||
\(899\) | 2.55612 | − | 4.42733i | 0.0852513 | − | 0.147660i | ||||
\(900\) | 25.5089 | + | 9.72154i | 0.850297 | + | 0.324051i | ||||
\(901\) | −0.137275 | + | 0.0792555i | −0.00457328 | + | 0.00264038i | ||||
\(902\) | 0.00731694 | + | 0.00196057i | 0.000243628 | + | 6.52798e-5i | ||||
\(903\) | 52.2886 | + | 17.5929i | 1.74005 | + | 0.585456i | ||||
\(904\) | 0.410067 | + | 0.236752i | 0.0136386 | + | 0.00787426i | ||||
\(905\) | −13.0185 | − | 5.43751i | −0.432749 | − | 0.180749i | ||||
\(906\) | 0.809577 | − | 0.175600i | 0.0268964 | − | 0.00583393i | ||||
\(907\) | 3.69546 | + | 3.69546i | 0.122706 | + | 0.122706i | 0.765793 | − | 0.643087i | \(-0.222347\pi\) |
−0.643087 | + | 0.765793i | \(0.722347\pi\) | |||||||
\(908\) | 2.95655 | − | 11.0340i | 0.0981165 | − | 0.366176i | ||||
\(909\) | −4.27304 | + | 44.1847i | −0.141728 | + | 1.46551i | ||||
\(910\) | −1.77101 | − | 15.5515i | −0.0587083 | − | 0.515527i | ||||
\(911\) | −15.2554 | − | 26.4231i | −0.505433 | − | 0.875436i | −0.999980 | − | 0.00628502i | \(-0.997999\pi\) |
0.494547 | − | 0.869151i | \(-0.335334\pi\) | |||||||
\(912\) | −4.08128 | − | 0.196888i | −0.135145 | − | 0.00651963i | ||||
\(913\) | −10.8888 | + | 40.6376i | −0.360367 | + | 1.34491i | ||||
\(914\) | 11.1728 | − | 6.45062i | 0.369564 | − | 0.213368i | ||||
\(915\) | 2.22085 | − | 1.53029i | 0.0734189 | − | 0.0505897i | ||||
\(916\) | 15.0695 | − | 8.70040i | 0.497912 | − | 0.287469i | ||||
\(917\) | 0.342490 | − | 23.5264i | 0.0113100 | − | 0.776912i | ||||
\(918\) | −1.29633 | − | 3.25517i | −0.0427852 | − | 0.107437i | ||||
\(919\) | −4.39965 | + | 2.54014i | −0.145131 | + | 0.0837914i | −0.570807 | − | 0.821084i | \(-0.693370\pi\) |
0.425676 | + | 0.904876i | \(0.360036\pi\) | |||||||
\(920\) | 21.3344 | + | 8.91087i | 0.703375 | + | 0.293783i | ||||
\(921\) | −24.6532 | + | 22.3840i | −0.812350 | + | 0.737579i | ||||
\(922\) | 2.91684 | − | 2.91684i | 0.0960610 | − | 0.0960610i | ||||
\(923\) | 5.29451 | − | 1.41866i | 0.174271 | − | 0.0466957i | ||||
\(924\) | 35.4316 | − | 17.5915i | 1.16561 | − | 0.578719i | ||||
\(925\) | −15.7154 | + | 8.95004i | −0.516720 | + | 0.294276i | ||||
\(926\) | 3.55326 | + | 6.15443i | 0.116768 | + | 0.202247i | ||||
\(927\) | −35.4392 | − | 43.0277i | −1.16398 | − | 1.41321i | ||||
\(928\) | −2.67540 | − | 9.98472i | −0.0878242 | − | 0.327764i | ||||
\(929\) | 25.0524 | − | 43.3921i | 0.821943 | − | 1.42365i | −0.0822900 | − | 0.996608i | \(-0.526223\pi\) |
0.904233 | − | 0.427039i | \(-0.140443\pi\) | |||||||
\(930\) | −1.22376 | − | 3.44262i | −0.0401288 | − | 0.112888i | ||||
\(931\) | −2.65491 | − | 4.92413i | −0.0870112 | − | 0.161382i | ||||
\(932\) | 14.6420 | − | 3.92331i | 0.479614 | − | 0.128512i | ||||
\(933\) | 26.4599 | − | 13.6208i | 0.866259 | − | 0.445925i | ||||
\(934\) | −13.3645 | −0.437300 | ||||||||
\(935\) | 16.7020 | + | 2.24903i | 0.546215 | + | 0.0735512i | ||||
\(936\) | 17.6164 | − | 24.6756i | 0.575810 | − | 0.806547i | ||||
\(937\) | 10.2181 | − | 10.2181i | 0.333810 | − | 0.333810i | −0.520222 | − | 0.854031i | \(-0.674151\pi\) |
0.854031 | + | 0.520222i | \(0.174151\pi\) | |||||||
\(938\) | −0.145476 | + | 9.99311i | −0.00474997 | + | 0.326287i | ||||
\(939\) | 3.47255 | − | 0.753209i | 0.113323 | − | 0.0245801i | ||||
\(940\) | 30.0536 | − | 12.3448i | 0.980240 | − | 0.402643i | ||||
\(941\) | −20.0273 | + | 11.5628i | −0.652871 | + | 0.376935i | −0.789555 | − | 0.613679i | \(-0.789689\pi\) |
0.136684 | + | 0.990615i | \(0.456355\pi\) | |||||||
\(942\) | 2.31313 | + | 0.111590i | 0.0753660 | + | 0.00363579i | ||||
\(943\) | 0.0231853 | − | 0.00621248i | 0.000755017 | − | 0.000202306i | ||||
\(944\) | 34.6270 | 1.12701 | ||||||||
\(945\) | −16.1940 | + | 26.1296i | −0.526791 | + | 0.849995i | ||||
\(946\) | 24.2333 | 0.787894 | ||||||||
\(947\) | 23.1524 | − | 6.20367i | 0.752353 | − | 0.201592i | 0.137791 | − | 0.990461i | \(-0.456000\pi\) |
0.614561 | + | 0.788869i | \(0.289333\pi\) | |||||||
\(948\) | 18.0566 | + | 0.871083i | 0.586451 | + | 0.0282915i | ||||
\(949\) | −30.5840 | + | 17.6577i | −0.992800 | + | 0.573193i | ||||
\(950\) | 0.0100096 | − | 1.69572i | 0.000324755 | − | 0.0550166i | ||||
\(951\) | 41.7137 | − | 9.04785i | 1.35266 | − | 0.293396i | ||||
\(952\) | −5.85164 | − | 3.49299i | −0.189653 | − | 0.113208i | ||||
\(953\) | 11.4820 | − | 11.4820i | 0.371939 | − | 0.371939i | −0.496244 | − | 0.868183i | \(-0.665288\pi\) |
0.868183 | + | 0.496244i | \(0.165288\pi\) | |||||||
\(954\) | −0.0526203 | − | 0.115592i | −0.00170365 | − | 0.00374243i | ||||
\(955\) | 16.9783 | + | 22.2623i | 0.549404 | + | 0.720390i | ||||
\(956\) | 42.7384 | 1.38226 | ||||||||
\(957\) | −16.7986 | + | 8.64745i | −0.543023 | + | 0.279532i | ||||
\(958\) | −8.67431 | + | 2.32427i | −0.280254 | + | 0.0750939i | ||||
\(959\) | −8.71041 | − | 8.96776i | −0.281274 | − | 0.289584i | ||||
\(960\) | 13.9777 | + | 6.64636i | 0.451128 | + | 0.214510i | ||||
\(961\) | −13.0292 | + | 22.5672i | −0.420297 | + | 0.727976i | ||||
\(962\) | 2.47679 | + | 9.24349i | 0.0798548 | + | 0.298022i | ||||
\(963\) | 13.4667 | − | 35.9726i | 0.433957 | − | 1.15920i | ||||
\(964\) | 20.8153 | + | 36.0531i | 0.670414 | + | 1.16119i | ||||
\(965\) | −4.86873 | + | 6.30642i | −0.156730 | + | 0.203011i | ||||
\(966\) | −6.86368 | + | 10.3323i | −0.220835 | + | 0.332435i | ||||
\(967\) | 15.7828 | − | 4.22899i | 0.507541 | − | 0.135995i | 0.00404348 | − | 0.999992i | \(-0.498713\pi\) |
0.503498 | + | 0.863997i | \(0.332046\pi\) | |||||||
\(968\) | 13.1807 | − | 13.1807i | 0.423643 | − | 0.423643i | ||||
\(969\) | 1.62837 | − | 1.47849i | 0.0523108 | − | 0.0474959i | ||||
\(970\) | 2.97246 | − | 7.11667i | 0.0954399 | − | 0.228502i | ||||
\(971\) | −24.1614 | + | 13.9496i | −0.775378 | + | 0.447665i | −0.834790 | − | 0.550569i | \(-0.814411\pi\) |
0.0594119 | + | 0.998234i | \(0.481077\pi\) | |||||||
\(972\) | −27.2444 | + | 7.91030i | −0.873865 | + | 0.253723i | ||||
\(973\) | 14.8648 | − | 24.9022i | 0.476543 | − | 0.798329i | ||||
\(974\) | −1.84414 | + | 1.06472i | −0.0590901 | + | 0.0341157i | ||||
\(975\) | −45.2288 | − | 29.4844i | −1.44848 | − | 0.944257i | ||||
\(976\) | 1.78019 | − | 1.02779i | 0.0569826 | − | 0.0328989i | ||||
\(977\) | −1.68765 | + | 6.29841i | −0.0539928 | + | 0.201504i | −0.987653 | − | 0.156655i | \(-0.949929\pi\) |
0.933661 | + | 0.358159i | \(0.116596\pi\) | |||||||
\(978\) | −14.9105 | − | 0.719310i | −0.476786 | − | 0.0230010i | ||||
\(979\) | 18.5273 | + | 32.0903i | 0.592136 | + | 1.02561i | ||||
\(980\) | 2.81084 | + | 28.3470i | 0.0897889 | + | 0.905512i | ||||
\(981\) | 6.28339 | + | 4.48584i | 0.200613 | + | 0.143222i | ||||
\(982\) | 1.55750 | − | 5.81268i | 0.0497020 | − | 0.185490i | ||||
\(983\) | −41.5722 | − | 41.5722i | −1.32595 | − | 1.32595i | −0.908873 | − | 0.417073i | \(-0.863056\pi\) |
−0.417073 | − | 0.908873i | \(-0.636944\pi\) | |||||||
\(984\) | −0.0103261 | + | 0.00223977i | −0.000329184 | + | 7.14013e-5i | ||||
\(985\) | −30.1074 | + | 12.3669i | −0.959300 | + | 0.394042i | ||||
\(986\) | 1.34297 | + | 0.775361i | 0.0427687 | + | 0.0246925i | ||||
\(987\) | 7.23424 | + | 35.8647i | 0.230269 | + | 1.14159i | ||||
\(988\) | 8.75836 | + | 2.34680i | 0.278641 | + | 0.0746615i | ||||
\(989\) | 66.5008 | − | 38.3943i | 2.11460 | − | 1.22087i | ||||
\(990\) | −3.08183 | + | 13.1468i | −0.0979470 | + | 0.417831i | ||||
\(991\) | 13.4627 | − | 23.3181i | 0.427658 | − | 0.740725i | −0.569007 | − | 0.822333i | \(-0.692672\pi\) |
0.996664 | + | 0.0816081i | \(0.0260056\pi\) | |||||||
\(992\) | −2.58609 | − | 9.65143i | −0.0821085 | − | 0.306433i | ||||
\(993\) | 13.2005 | − | 20.5131i | 0.418904 | − | 0.650962i | ||||
\(994\) | 0.957154 | − | 0.241592i | 0.0303591 | − | 0.00766285i | ||||
\(995\) | −8.01581 | − | 10.5105i | −0.254118 | − | 0.333205i | ||||
\(996\) | −5.92651 | − | 27.3232i | −0.187789 | − | 0.865770i | ||||
\(997\) | −4.52222 | + | 4.52222i | −0.143220 | + | 0.143220i | −0.775081 | − | 0.631861i | \(-0.782291\pi\) |
0.631861 | + | 0.775081i | \(0.282291\pi\) | |||||||
\(998\) | 0.988286 | + | 3.68833i | 0.0312836 | + | 0.116752i | ||||
\(999\) | 7.42990 | − | 17.2639i | 0.235072 | − | 0.546205i |
(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 | 315.2.cg.e.157.18 | yes | 160 | |
3.2 | odd | 2 | 945.2.cj.e.577.23 | 160 | |||
5.3 | odd | 4 | inner | 315.2.cg.e.283.23 | yes | 160 | |
7.5 | odd | 6 | 315.2.bs.e.292.23 | yes | 160 | ||
9.2 | odd | 6 | 945.2.bv.e.262.18 | 160 | |||
9.7 | even | 3 | 315.2.bs.e.52.23 | ✓ | 160 | ||
15.8 | even | 4 | 945.2.cj.e.388.18 | 160 | |||
21.5 | even | 6 | 945.2.bv.e.712.18 | 160 | |||
35.33 | even | 12 | 315.2.bs.e.103.23 | yes | 160 | ||
45.38 | even | 12 | 945.2.bv.e.73.18 | 160 | |||
45.43 | odd | 12 | 315.2.bs.e.178.23 | yes | 160 | ||
63.47 | even | 6 | 945.2.cj.e.397.18 | 160 | |||
63.61 | odd | 6 | inner | 315.2.cg.e.187.23 | yes | 160 | |
105.68 | odd | 12 | 945.2.bv.e.523.18 | 160 | |||
315.173 | odd | 12 | 945.2.cj.e.208.23 | 160 | |||
315.313 | even | 12 | inner | 315.2.cg.e.313.18 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.23 | ✓ | 160 | 9.7 | even | 3 | ||
315.2.bs.e.103.23 | yes | 160 | 35.33 | even | 12 | ||
315.2.bs.e.178.23 | yes | 160 | 45.43 | odd | 12 | ||
315.2.bs.e.292.23 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.157.18 | yes | 160 | 1.1 | even | 1 | trivial | |
315.2.cg.e.187.23 | yes | 160 | 63.61 | odd | 6 | inner | |
315.2.cg.e.283.23 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.cg.e.313.18 | yes | 160 | 315.313 | even | 12 | inner | |
945.2.bv.e.73.18 | 160 | 45.38 | even | 12 | |||
945.2.bv.e.262.18 | 160 | 9.2 | odd | 6 | |||
945.2.bv.e.523.18 | 160 | 105.68 | odd | 12 | |||
945.2.bv.e.712.18 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.208.23 | 160 | 315.173 | odd | 12 | |||
945.2.cj.e.388.18 | 160 | 15.8 | even | 4 | |||
945.2.cj.e.397.18 | 160 | 63.47 | even | 6 | |||
945.2.cj.e.577.23 | 160 | 3.2 | odd | 2 |