Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 106.10 | ||
Character | \(\chi\) | \(=\) | 225.106 |
Dual form | 225.2.q.a.121.10 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.05398 | − | 0.224029i | −0.745273 | − | 0.158413i | −0.180403 | − | 0.983593i | \(-0.557740\pi\) |
−0.564870 | + | 0.825180i | \(0.691074\pi\) | |||||||
\(3\) | 1.71250 | − | 0.259519i | 0.988711 | − | 0.149833i | ||||
\(4\) | −0.766416 | − | 0.341231i | −0.383208 | − | 0.170615i | ||||
\(5\) | −1.13834 | + | 1.92462i | −0.509082 | + | 0.860718i | ||||
\(6\) | −1.86307 | − | 0.110124i | −0.760595 | − | 0.0449578i | ||||
\(7\) | 0.316483 | − | 0.548165i | 0.119619 | − | 0.207187i | −0.799998 | − | 0.600003i | \(-0.795166\pi\) |
0.919617 | + | 0.392817i | \(0.128499\pi\) | |||||||
\(8\) | 2.47480 | + | 1.79805i | 0.874976 | + | 0.635707i | ||||
\(9\) | 2.86530 | − | 0.888850i | 0.955100 | − | 0.296283i | ||||
\(10\) | 1.63096 | − | 1.77348i | 0.515754 | − | 0.560825i | ||||
\(11\) | 5.10644 | + | 1.08541i | 1.53965 | + | 0.327262i | 0.898090 | − | 0.439811i | \(-0.144955\pi\) |
0.641559 | + | 0.767074i | \(0.278288\pi\) | |||||||
\(12\) | −1.40104 | − | 0.385457i | −0.404446 | − | 0.111272i | ||||
\(13\) | 3.72319 | − | 0.791388i | 1.03263 | − | 0.219492i | 0.339726 | − | 0.940524i | \(-0.389666\pi\) |
0.692901 | + | 0.721033i | \(0.256332\pi\) | |||||||
\(14\) | −0.456370 | + | 0.506851i | −0.121970 | + | 0.135461i | ||||
\(15\) | −1.44993 | + | 3.59134i | −0.374371 | + | 0.927279i | ||||
\(16\) | −1.08284 | − | 1.20261i | −0.270709 | − | 0.300653i | ||||
\(17\) | −0.365368 | − | 0.265455i | −0.0886146 | − | 0.0643823i | 0.542596 | − | 0.839994i | \(-0.317442\pi\) |
−0.631210 | + | 0.775612i | \(0.717442\pi\) | |||||||
\(18\) | −3.21908 | + | 0.294915i | −0.758745 | + | 0.0695120i | ||||
\(19\) | −3.97313 | − | 2.88665i | −0.911499 | − | 0.662243i | 0.0298945 | − | 0.999553i | \(-0.490483\pi\) |
−0.941394 | + | 0.337310i | \(0.890483\pi\) | |||||||
\(20\) | 1.52918 | − | 1.08663i | 0.341936 | − | 0.242977i | ||||
\(21\) | 0.399718 | − | 1.02086i | 0.0872256 | − | 0.222771i | ||||
\(22\) | −5.13890 | − | 2.28798i | −1.09562 | − | 0.487800i | ||||
\(23\) | −0.0686557 | + | 0.0762499i | −0.0143157 | + | 0.0158992i | −0.750260 | − | 0.661143i | \(-0.770072\pi\) |
0.735944 | + | 0.677042i | \(0.236738\pi\) | |||||||
\(24\) | 4.70473 | + | 2.43690i | 0.960348 | + | 0.497430i | ||||
\(25\) | −2.40836 | − | 4.38176i | −0.481671 | − | 0.876352i | ||||
\(26\) | −4.10144 | −0.804359 | ||||||||
\(27\) | 4.67615 | − | 2.26575i | 0.899925 | − | 0.436044i | ||||
\(28\) | −0.429608 | + | 0.312129i | −0.0811883 | + | 0.0589868i | ||||
\(29\) | 1.04992 | + | 9.98932i | 0.194965 | + | 1.85497i | 0.456433 | + | 0.889758i | \(0.349127\pi\) |
−0.261467 | + | 0.965212i | \(0.584206\pi\) | |||||||
\(30\) | 2.33276 | − | 3.46035i | 0.425901 | − | 0.631771i | ||||
\(31\) | −0.422249 | + | 4.01743i | −0.0758381 | + | 0.721551i | 0.888858 | + | 0.458184i | \(0.151500\pi\) |
−0.964696 | + | 0.263367i | \(0.915167\pi\) | |||||||
\(32\) | −2.18716 | − | 3.78828i | −0.386640 | − | 0.669680i | ||||
\(33\) | 9.02645 | + | 0.533542i | 1.57130 | + | 0.0928777i | ||||
\(34\) | 0.325619 | + | 0.361636i | 0.0558431 | + | 0.0620201i | ||||
\(35\) | 0.694745 | + | 1.23311i | 0.117433 | + | 0.208434i | ||||
\(36\) | −2.49932 | − | 0.296499i | −0.416553 | − | 0.0494164i | ||||
\(37\) | 0.0800637 | − | 0.246411i | 0.0131624 | − | 0.0405097i | −0.944260 | − | 0.329202i | \(-0.893220\pi\) |
0.957422 | + | 0.288692i | \(0.0932204\pi\) | |||||||
\(38\) | 3.54089 | + | 3.93256i | 0.574408 | + | 0.637945i | ||||
\(39\) | 6.17057 | − | 2.32149i | 0.988083 | − | 0.371735i | ||||
\(40\) | −6.27775 | + | 2.71627i | −0.992599 | + | 0.429480i | ||||
\(41\) | −7.65841 | + | 1.62785i | −1.19604 | + | 0.254227i | −0.762549 | − | 0.646930i | \(-0.776053\pi\) |
−0.433493 | + | 0.901157i | \(0.642719\pi\) | |||||||
\(42\) | −0.649996 | + | 0.986417i | −0.100297 | + | 0.152207i | ||||
\(43\) | 3.68846 | − | 6.38860i | 0.562485 | − | 0.974253i | −0.434794 | − | 0.900530i | \(-0.643179\pi\) |
0.997279 | − | 0.0737227i | \(-0.0234880\pi\) | |||||||
\(44\) | −3.54328 | − | 2.57435i | −0.534170 | − | 0.388097i | ||||
\(45\) | −1.55099 | + | 6.52644i | −0.231208 | + | 0.972904i | ||||
\(46\) | 0.0894437 | − | 0.0649846i | 0.0131878 | − | 0.00958146i | ||||
\(47\) | −1.10730 | − | 10.5353i | −0.161517 | − | 1.53673i | −0.712177 | − | 0.702000i | \(-0.752291\pi\) |
0.550660 | − | 0.834730i | \(-0.314376\pi\) | |||||||
\(48\) | −2.16646 | − | 1.77845i | −0.312701 | − | 0.256698i | ||||
\(49\) | 3.29968 | + | 5.71521i | 0.471382 | + | 0.816458i | ||||
\(50\) | 1.55670 | + | 5.15781i | 0.220151 | + | 0.729424i | ||||
\(51\) | −0.694582 | − | 0.359772i | −0.0972609 | − | 0.0503781i | ||||
\(52\) | −3.12356 | − | 0.663933i | −0.433160 | − | 0.0920709i | ||||
\(53\) | −4.56626 | + | 3.31758i | −0.627224 | + | 0.455705i | −0.855437 | − | 0.517906i | \(-0.826712\pi\) |
0.228213 | + | 0.973611i | \(0.426712\pi\) | |||||||
\(54\) | −5.43614 | + | 1.34045i | −0.739765 | + | 0.182413i | ||||
\(55\) | −7.90187 | + | 8.59241i | −1.06549 | + | 1.15860i | ||||
\(56\) | 1.76886 | − | 0.787548i | 0.236374 | − | 0.105241i | ||||
\(57\) | −7.55312 | − | 3.91228i | −1.00044 | − | 0.518194i | ||||
\(58\) | 1.13131 | − | 10.7637i | 0.148548 | − | 1.41334i | ||||
\(59\) | −7.00744 | + | 1.48948i | −0.912291 | + | 0.193913i | −0.640066 | − | 0.768320i | \(-0.721093\pi\) |
−0.272225 | + | 0.962234i | \(0.587760\pi\) | |||||||
\(60\) | 2.33673 | − | 2.25770i | 0.301670 | − | 0.291467i | ||||
\(61\) | −4.51000 | − | 0.958629i | −0.577446 | − | 0.122740i | −0.0900749 | − | 0.995935i | \(-0.528711\pi\) |
−0.487371 | + | 0.873195i | \(0.662044\pi\) | |||||||
\(62\) | 1.34506 | − | 4.13967i | 0.170823 | − | 0.525739i | ||||
\(63\) | 0.419583 | − | 1.85196i | 0.0528624 | − | 0.233325i | ||||
\(64\) | 2.45668 | + | 7.56088i | 0.307085 | + | 0.945110i | ||||
\(65\) | −2.71514 | + | 8.06661i | −0.336771 | + | 1.00054i | ||||
\(66\) | −9.39412 | − | 2.58453i | −1.15634 | − | 0.318134i | ||||
\(67\) | −0.364553 | + | 3.46849i | −0.0445372 | + | 0.423743i | 0.949423 | + | 0.314001i | \(0.101669\pi\) |
−0.993960 | + | 0.109743i | \(0.964997\pi\) | |||||||
\(68\) | 0.189442 | + | 0.328124i | 0.0229732 | + | 0.0397908i | ||||
\(69\) | −0.0977846 | + | 0.148395i | −0.0117719 | + | 0.0178647i | ||||
\(70\) | −0.455991 | − | 1.45531i | −0.0545014 | − | 0.173943i | ||||
\(71\) | −3.47832 | + | 2.52715i | −0.412801 | + | 0.299917i | −0.774735 | − | 0.632286i | \(-0.782117\pi\) |
0.361934 | + | 0.932204i | \(0.382117\pi\) | |||||||
\(72\) | 8.68926 | + | 2.95223i | 1.02404 | + | 0.347923i | ||||
\(73\) | −4.75735 | − | 14.6416i | −0.556806 | − | 1.71367i | −0.691126 | − | 0.722734i | \(-0.742885\pi\) |
0.134320 | − | 0.990938i | \(-0.457115\pi\) | |||||||
\(74\) | −0.139588 | + | 0.241774i | −0.0162268 | + | 0.0281057i | ||||
\(75\) | −5.26145 | − | 6.87874i | −0.607540 | − | 0.794289i | ||||
\(76\) | 2.06006 | + | 3.56813i | 0.236305 | + | 0.409292i | ||||
\(77\) | 2.21108 | − | 2.45566i | 0.251976 | − | 0.279848i | ||||
\(78\) | −7.02371 | + | 1.06440i | −0.795279 | + | 0.120520i | ||||
\(79\) | −0.142656 | − | 1.35728i | −0.0160501 | − | 0.152706i | 0.983562 | − | 0.180573i | \(-0.0577953\pi\) |
−0.999612 | + | 0.0278667i | \(0.991129\pi\) | |||||||
\(80\) | 3.54721 | − | 0.715070i | 0.396591 | − | 0.0799473i | ||||
\(81\) | 7.41989 | − | 5.09364i | 0.824432 | − | 0.565961i | ||||
\(82\) | 8.43646 | 0.931651 | ||||||||
\(83\) | 1.95429 | − | 0.870105i | 0.214511 | − | 0.0955065i | −0.296668 | − | 0.954981i | \(-0.595876\pi\) |
0.511179 | + | 0.859474i | \(0.329209\pi\) | |||||||
\(84\) | −0.654700 | + | 0.646011i | −0.0714336 | + | 0.0704856i | ||||
\(85\) | 0.926814 | − | 0.401017i | 0.100527 | − | 0.0434964i | ||||
\(86\) | −5.31878 | + | 5.90711i | −0.573539 | + | 0.636980i | ||||
\(87\) | 4.39040 | + | 16.8342i | 0.470700 | + | 1.80482i | ||||
\(88\) | 10.6858 | + | 11.8678i | 1.13911 | + | 1.26511i | ||||
\(89\) | −5.42929 | − | 16.7096i | −0.575504 | − | 1.77122i | −0.634457 | − | 0.772958i | \(-0.718776\pi\) |
0.0589537 | − | 0.998261i | \(-0.481224\pi\) | |||||||
\(90\) | 3.09682 | − | 6.53124i | 0.326433 | − | 0.688453i | ||||
\(91\) | 0.744515 | − | 2.29138i | 0.0780464 | − | 0.240202i | ||||
\(92\) | 0.0786377 | − | 0.0350118i | 0.00819855 | − | 0.00365023i | ||||
\(93\) | 0.319497 | + | 6.98942i | 0.0331303 | + | 0.724769i | ||||
\(94\) | −1.19314 | + | 11.3520i | −0.123063 | + | 1.17087i | ||||
\(95\) | 10.0785 | − | 4.36079i | 1.03403 | − | 0.447408i | ||||
\(96\) | −4.72864 | − | 5.91981i | −0.482615 | − | 0.604188i | ||||
\(97\) | 0.637304 | + | 6.06354i | 0.0647084 | + | 0.615659i | 0.978036 | + | 0.208434i | \(0.0668368\pi\) |
−0.913328 | + | 0.407225i | \(0.866497\pi\) | |||||||
\(98\) | −2.19740 | − | 6.76291i | −0.221971 | − | 0.683157i | ||||
\(99\) | 15.5962 | − | 1.42884i | 1.56748 | − | 0.143604i | ||||
\(100\) | 0.350613 | + | 4.18006i | 0.0350613 | + | 0.418006i | ||||
\(101\) | 1.98334 | − | 3.43524i | 0.197350 | − | 0.341820i | −0.750319 | − | 0.661076i | \(-0.770100\pi\) |
0.947668 | + | 0.319257i | \(0.103433\pi\) | |||||||
\(102\) | 0.651473 | + | 0.534797i | 0.0645054 | + | 0.0529528i | ||||
\(103\) | 1.04871 | + | 0.466917i | 0.103333 | + | 0.0460067i | 0.457752 | − | 0.889080i | \(-0.348655\pi\) |
−0.354419 | + | 0.935087i | \(0.615321\pi\) | |||||||
\(104\) | 10.6371 | + | 4.73595i | 1.04306 | + | 0.464398i | ||||
\(105\) | 1.50976 | + | 1.93140i | 0.147338 | + | 0.188485i | ||||
\(106\) | 5.55596 | − | 2.47367i | 0.539643 | − | 0.240264i | ||||
\(107\) | 4.10301 | 0.396653 | 0.198326 | − | 0.980136i | \(-0.436449\pi\) | ||||
0.198326 | + | 0.980136i | \(0.436449\pi\) | |||||||
\(108\) | −4.35702 | + | 0.140865i | −0.419254 | + | 0.0135548i | ||||
\(109\) | 0.0306236 | − | 0.0942499i | 0.00293321 | − | 0.00902750i | −0.949579 | − | 0.313527i | \(-0.898489\pi\) |
0.952512 | + | 0.304500i | \(0.0984893\pi\) | |||||||
\(110\) | 10.2533 | − | 7.28594i | 0.977617 | − | 0.694687i | ||||
\(111\) | 0.0731608 | − | 0.442756i | 0.00694411 | − | 0.0420245i | ||||
\(112\) | −1.00193 | + | 0.212967i | −0.0946734 | + | 0.0201234i | ||||
\(113\) | −13.0049 | + | 2.76428i | −1.22340 | + | 0.260041i | −0.773939 | − | 0.633260i | \(-0.781716\pi\) |
−0.449459 | + | 0.893301i | \(0.648383\pi\) | |||||||
\(114\) | 7.08434 | + | 5.81557i | 0.663509 | + | 0.544678i | ||||
\(115\) | −0.0685988 | − | 0.218935i | −0.00639687 | − | 0.0204158i | ||||
\(116\) | 2.60399 | − | 8.01424i | 0.241774 | − | 0.744104i | ||||
\(117\) | 9.96463 | − | 5.57692i | 0.921230 | − | 0.515587i | ||||
\(118\) | 7.71936 | 0.710624 | ||||||||
\(119\) | −0.261146 | + | 0.116270i | −0.0239392 | + | 0.0106584i | ||||
\(120\) | −10.0457 | + | 6.28080i | −0.917043 | + | 0.573356i | ||||
\(121\) | 14.8486 | + | 6.61102i | 1.34987 | + | 0.601002i | ||||
\(122\) | 4.53866 | + | 2.02074i | 0.410911 | + | 0.182949i | ||||
\(123\) | −12.6926 | + | 4.77518i | −1.14445 | + | 0.430564i | ||||
\(124\) | 1.69449 | − | 2.93494i | 0.152169 | − | 0.263565i | ||||
\(125\) | 11.1748 | + | 0.352760i | 0.999502 | + | 0.0315518i | ||||
\(126\) | −0.857124 | + | 1.85792i | −0.0763586 | + | 0.165517i | ||||
\(127\) | 1.73383 | + | 5.33620i | 0.153853 | + | 0.473511i | 0.998043 | − | 0.0625335i | \(-0.0199180\pi\) |
−0.844190 | + | 0.536044i | \(0.819918\pi\) | |||||||
\(128\) | 0.0190639 | + | 0.181381i | 0.00168503 | + | 0.0160320i | ||||
\(129\) | 4.65852 | − | 11.8977i | 0.410160 | − | 1.04753i | ||||
\(130\) | 4.66884 | − | 7.89374i | 0.409485 | − | 0.692326i | ||||
\(131\) | 0.574155 | − | 5.46272i | 0.0501641 | − | 0.477280i | −0.940384 | − | 0.340114i | \(-0.889534\pi\) |
0.990548 | − | 0.137165i | \(-0.0437991\pi\) | |||||||
\(132\) | −6.73596 | − | 3.48902i | −0.586290 | − | 0.303680i | ||||
\(133\) | −2.83979 | + | 1.26436i | −0.246241 | + | 0.109633i | ||||
\(134\) | 1.16127 | − | 3.57403i | 0.100319 | − | 0.308749i | ||||
\(135\) | −0.962332 | + | 11.5790i | −0.0828244 | + | 0.996564i | ||||
\(136\) | −0.426912 | − | 1.31390i | −0.0366074 | − | 0.112666i | ||||
\(137\) | −6.65616 | − | 7.39241i | −0.568674 | − | 0.631576i | 0.388376 | − | 0.921501i | \(-0.373036\pi\) |
−0.957049 | + | 0.289925i | \(0.906370\pi\) | |||||||
\(138\) | 0.136307 | − | 0.134498i | 0.0116033 | − | 0.0114493i | ||||
\(139\) | 2.88198 | − | 3.20077i | 0.244447 | − | 0.271486i | −0.608419 | − | 0.793616i | \(-0.708196\pi\) |
0.852866 | + | 0.522130i | \(0.174863\pi\) | |||||||
\(140\) | −0.111689 | − | 1.18214i | −0.00943947 | − | 0.0999094i | ||||
\(141\) | −4.63036 | − | 17.7543i | −0.389947 | − | 1.49518i | ||||
\(142\) | 4.23222 | − | 1.88431i | 0.355160 | − | 0.158127i | ||||
\(143\) | 19.8712 | 1.66171 | ||||||||
\(144\) | −4.17159 | − | 2.48336i | −0.347633 | − | 0.206947i | ||||
\(145\) | −20.4209 | − | 9.35056i | −1.69586 | − | 0.776522i | ||||
\(146\) | 1.73398 | + | 16.4977i | 0.143505 | + | 1.36536i | ||||
\(147\) | 7.13389 | + | 8.93096i | 0.588394 | + | 0.736613i | ||||
\(148\) | −0.145445 | + | 0.161533i | −0.0119555 | + | 0.0132779i | ||||
\(149\) | −0.0389321 | − | 0.0674323i | −0.00318944 | − | 0.00552427i | 0.864426 | − | 0.502760i | \(-0.167682\pi\) |
−0.867616 | + | 0.497235i | \(0.834349\pi\) | |||||||
\(150\) | 4.00440 | + | 8.42874i | 0.326958 | + | 0.688204i | ||||
\(151\) | −8.59717 | + | 14.8907i | −0.699628 | + | 1.21179i | 0.268968 | + | 0.963149i | \(0.413318\pi\) |
−0.968595 | + | 0.248642i | \(0.920016\pi\) | |||||||
\(152\) | −4.64238 | − | 14.2878i | −0.376547 | − | 1.15889i | ||||
\(153\) | −1.28284 | − | 0.435851i | −0.103711 | − | 0.0352365i | ||||
\(154\) | −2.88057 | + | 2.09285i | −0.232123 | + | 0.168647i | ||||
\(155\) | −7.25137 | − | 5.38587i | −0.582444 | − | 0.432604i | ||||
\(156\) | −5.52139 | − | 0.326362i | −0.442065 | − | 0.0261299i | ||||
\(157\) | −5.71800 | − | 9.90387i | −0.456346 | − | 0.790415i | 0.542418 | − | 0.840109i | \(-0.317509\pi\) |
−0.998765 | + | 0.0496936i | \(0.984176\pi\) | |||||||
\(158\) | −0.153715 | + | 1.46250i | −0.0122289 | + | 0.116351i | ||||
\(159\) | −6.95874 | + | 6.86638i | −0.551864 | + | 0.544539i | ||||
\(160\) | 9.78076 | + | 0.102888i | 0.773237 | + | 0.00813398i | ||||
\(161\) | 0.0200691 | + | 0.0617665i | 0.00158167 | + | 0.00486788i | ||||
\(162\) | −8.96151 | + | 3.70630i | −0.704083 | + | 0.291195i | ||||
\(163\) | 1.40825 | − | 4.33413i | 0.110302 | − | 0.339476i | −0.880636 | − | 0.473793i | \(-0.842884\pi\) |
0.990938 | + | 0.134318i | \(0.0428843\pi\) | |||||||
\(164\) | 6.42500 | + | 1.36568i | 0.501708 | + | 0.106641i | ||||
\(165\) | −11.3021 | + | 16.7652i | −0.879864 | + | 1.30517i | ||||
\(166\) | −2.25470 | + | 0.479251i | −0.174999 | + | 0.0371971i | ||||
\(167\) | −1.56503 | + | 14.8903i | −0.121106 | + | 1.15225i | 0.750099 | + | 0.661326i | \(0.230006\pi\) |
−0.871205 | + | 0.490920i | \(0.836661\pi\) | |||||||
\(168\) | 2.82479 | − | 1.80773i | 0.217937 | − | 0.139469i | ||||
\(169\) | 1.35975 | − | 0.605399i | 0.104596 | − | 0.0465691i | ||||
\(170\) | −1.06668 | + | 0.215028i | −0.0818105 | + | 0.0164919i | ||||
\(171\) | −13.9500 | − | 4.73960i | −1.06678 | − | 0.362446i | ||||
\(172\) | −5.00688 | + | 3.63771i | −0.381771 | + | 0.277373i | ||||
\(173\) | −3.49543 | − | 0.742976i | −0.265753 | − | 0.0564874i | 0.0731081 | − | 0.997324i | \(-0.476708\pi\) |
−0.338861 | + | 0.940837i | \(0.610042\pi\) | |||||||
\(174\) | −0.856013 | − | 18.7264i | −0.0648942 | − | 1.41965i | ||||
\(175\) | −3.16413 | − | 0.0665768i | −0.239186 | − | 0.00503274i | ||||
\(176\) | −4.22411 | − | 7.31638i | −0.318405 | − | 0.551493i | ||||
\(177\) | −11.6137 | + | 4.36929i | −0.872938 | + | 0.328416i | ||||
\(178\) | 1.97889 | + | 18.8279i | 0.148324 | + | 1.41121i | ||||
\(179\) | −17.6257 | + | 12.8058i | −1.31741 | + | 0.957151i | −0.317445 | + | 0.948277i | \(0.602825\pi\) |
−0.999961 | + | 0.00887412i | \(0.997175\pi\) | |||||||
\(180\) | 3.41572 | − | 4.47273i | 0.254593 | − | 0.333377i | ||||
\(181\) | 14.5760 | + | 10.5901i | 1.08343 | + | 0.787155i | 0.978277 | − | 0.207302i | \(-0.0664682\pi\) |
0.105148 | + | 0.994457i | \(0.466468\pi\) | |||||||
\(182\) | −1.29804 | + | 2.24827i | −0.0962169 | + | 0.166653i | ||||
\(183\) | −7.97214 | − | 0.471223i | −0.589318 | − | 0.0348338i | ||||
\(184\) | −0.307011 | + | 0.0652572i | −0.0226331 | + | 0.00481082i | ||||
\(185\) | 0.383108 | + | 0.434592i | 0.0281667 | + | 0.0319519i | ||||
\(186\) | 1.22909 | − | 7.43825i | 0.0901215 | − | 0.545399i | ||||
\(187\) | −1.57760 | − | 1.75210i | −0.115366 | − | 0.128126i | ||||
\(188\) | −2.74631 | + | 8.45226i | −0.200295 | + | 0.616445i | ||||
\(189\) | 0.237916 | − | 3.28037i | 0.0173058 | − | 0.238612i | ||||
\(190\) | −11.5994 | + | 2.33829i | −0.841511 | + | 0.169637i | ||||
\(191\) | 6.83360 | + | 7.58948i | 0.494462 | + | 0.549156i | 0.937790 | − | 0.347204i | \(-0.112869\pi\) |
−0.443328 | + | 0.896360i | \(0.646202\pi\) | |||||||
\(192\) | 6.16925 | + | 12.3104i | 0.445227 | + | 0.888430i | ||||
\(193\) | −6.35646 | − | 11.0097i | −0.457548 | − | 0.792496i | 0.541283 | − | 0.840841i | \(-0.317939\pi\) |
−0.998831 | + | 0.0483444i | \(0.984605\pi\) | |||||||
\(194\) | 0.686709 | − | 6.53360i | 0.0493028 | − | 0.469085i | ||||
\(195\) | −2.55623 | + | 14.5187i | −0.183056 | + | 1.03970i | ||||
\(196\) | −0.578723 | − | 5.50618i | −0.0413373 | − | 0.393299i | ||||
\(197\) | 5.47291 | − | 3.97630i | 0.389929 | − | 0.283300i | −0.375498 | − | 0.926823i | \(-0.622528\pi\) |
0.765426 | + | 0.643524i | \(0.222528\pi\) | |||||||
\(198\) | −16.7582 | − | 1.98805i | −1.19095 | − | 0.141285i | ||||
\(199\) | 7.09600 | 0.503022 | 0.251511 | − | 0.967854i | \(-0.419073\pi\) | ||||
0.251511 | + | 0.967854i | \(0.419073\pi\) | |||||||
\(200\) | 1.91842 | − | 15.1743i | 0.135653 | − | 1.07299i | ||||
\(201\) | 0.275841 | + | 6.03439i | 0.0194563 | + | 0.425633i | ||||
\(202\) | −2.85999 | + | 3.17634i | −0.201228 | + | 0.223486i | ||||
\(203\) | 5.80807 | + | 2.58592i | 0.407647 | + | 0.181496i | ||||
\(204\) | 0.409574 | + | 0.512747i | 0.0286759 | + | 0.0358995i | ||||
\(205\) | 5.58490 | − | 16.5926i | 0.390066 | − | 1.15888i | ||||
\(206\) | −1.00071 | − | 0.727061i | −0.0697230 | − | 0.0506567i | ||||
\(207\) | −0.128945 | + | 0.279504i | −0.00896227 | + | 0.0194268i | ||||
\(208\) | −4.98334 | − | 3.62061i | −0.345532 | − | 0.251044i | ||||
\(209\) | −17.1554 | − | 19.0530i | −1.18666 | − | 1.31792i | ||||
\(210\) | −1.15856 | − | 2.37388i | −0.0799485 | − | 0.163813i | ||||
\(211\) | 17.7288 | − | 19.6898i | 1.22050 | − | 1.35550i | 0.305429 | − | 0.952215i | \(-0.401200\pi\) |
0.915072 | − | 0.403289i | \(-0.132133\pi\) | |||||||
\(212\) | 4.63172 | − | 0.984502i | 0.318108 | − | 0.0676158i | ||||
\(213\) | −5.30078 | + | 5.23043i | −0.363203 | + | 0.358383i | ||||
\(214\) | −4.32447 | − | 0.919195i | −0.295615 | − | 0.0628349i | ||||
\(215\) | 8.09693 | + | 14.3713i | 0.552206 | + | 0.980116i | ||||
\(216\) | 15.6465 | + | 2.80066i | 1.06461 | + | 0.190561i | ||||
\(217\) | 2.06858 | + | 1.50291i | 0.140424 | + | 0.102024i | ||||
\(218\) | −0.0533913 | + | 0.0924764i | −0.00361611 | + | 0.00626329i | ||||
\(219\) | −11.9467 | − | 23.8391i | −0.807285 | − | 1.61090i | ||||
\(220\) | 8.98812 | − | 3.88900i | 0.605979 | − | 0.262197i | ||||
\(221\) | −1.57041 | − | 0.699192i | −0.105637 | − | 0.0470327i | ||||
\(222\) | −0.176300 | + | 0.450264i | −0.0118325 | + | 0.0302197i | ||||
\(223\) | −3.85158 | − | 0.818679i | −0.257921 | − | 0.0548228i | 0.0771363 | − | 0.997021i | \(-0.475422\pi\) |
−0.335057 | + | 0.942198i | \(0.608756\pi\) | |||||||
\(224\) | −2.76880 | −0.184998 | ||||||||
\(225\) | −10.7954 | − | 10.4144i | −0.719693 | − | 0.694293i | ||||
\(226\) | 14.3261 | 0.952959 | ||||||||
\(227\) | 23.6286 | + | 5.02242i | 1.56829 | + | 0.333350i | 0.908428 | − | 0.418041i | \(-0.137283\pi\) |
0.659858 | + | 0.751390i | \(0.270616\pi\) | |||||||
\(228\) | 4.45384 | + | 5.57579i | 0.294963 | + | 0.369266i | ||||
\(229\) | −13.8340 | − | 6.15929i | −0.914175 | − | 0.407017i | −0.104924 | − | 0.994480i | \(-0.533460\pi\) |
−0.809251 | + | 0.587463i | \(0.800127\pi\) | |||||||
\(230\) | 0.0232535 | + | 0.246120i | 0.00153329 | + | 0.0162287i | ||||
\(231\) | 3.14919 | − | 4.77912i | 0.207201 | − | 0.314443i | ||||
\(232\) | −15.3630 | + | 26.6094i | −1.00863 | + | 1.74699i | ||||
\(233\) | 10.3302 | + | 7.50529i | 0.676751 | + | 0.491688i | 0.872278 | − | 0.489010i | \(-0.162642\pi\) |
−0.195527 | + | 0.980698i | \(0.562642\pi\) | |||||||
\(234\) | −11.7519 | + | 3.64557i | −0.768243 | + | 0.238318i | ||||
\(235\) | 21.5370 | + | 9.86162i | 1.40492 | + | 0.643301i | ||||
\(236\) | 5.87887 | + | 1.24959i | 0.382682 | + | 0.0813416i | ||||
\(237\) | −0.596539 | − | 2.28733i | −0.0387494 | − | 0.148578i | ||||
\(238\) | 0.301289 | − | 0.0640409i | 0.0195297 | − | 0.00415116i | ||||
\(239\) | −8.58195 | + | 9.53122i | −0.555120 | + | 0.616524i | −0.953755 | − | 0.300586i | \(-0.902818\pi\) |
0.398634 | + | 0.917110i | \(0.369484\pi\) | |||||||
\(240\) | 5.88902 | − | 2.14512i | 0.380135 | − | 0.138467i | ||||
\(241\) | 18.4961 | + | 20.5420i | 1.19144 | + | 1.32323i | 0.934145 | + | 0.356892i | \(0.116164\pi\) |
0.257293 | + | 0.966334i | \(0.417170\pi\) | |||||||
\(242\) | −14.1690 | − | 10.2944i | −0.910817 | − | 0.661748i | ||||
\(243\) | 11.3847 | − | 10.6485i | 0.730326 | − | 0.683099i | ||||
\(244\) | 3.12942 | + | 2.27366i | 0.200341 | + | 0.145556i | ||||
\(245\) | −14.7558 | − | 0.155222i | −0.942713 | − | 0.00991677i | ||||
\(246\) | 14.4474 | − | 2.18942i | 0.921134 | − | 0.139592i | ||||
\(247\) | −17.0772 | − | 7.60325i | −1.08659 | − | 0.483783i | ||||
\(248\) | −8.26852 | + | 9.18312i | −0.525052 | + | 0.583129i | ||||
\(249\) | 3.12091 | − | 1.99723i | 0.197779 | − | 0.126569i | ||||
\(250\) | −11.6989 | − | 2.87528i | −0.739904 | − | 0.181848i | ||||
\(251\) | −2.88989 | −0.182408 | −0.0912042 | − | 0.995832i | \(-0.529072\pi\) | ||||
−0.0912042 | + | 0.995832i | \(0.529072\pi\) | |||||||
\(252\) | −0.953521 | + | 1.27620i | −0.0600662 | + | 0.0803930i | ||||
\(253\) | −0.433349 | + | 0.314846i | −0.0272444 | + | 0.0197942i | ||||
\(254\) | −0.631955 | − | 6.01265i | −0.0396524 | − | 0.377267i | ||||
\(255\) | 1.48310 | − | 0.927266i | 0.0928751 | − | 0.0580676i | ||||
\(256\) | 1.68254 | − | 16.0083i | 0.105159 | − | 1.00052i | ||||
\(257\) | 3.00243 | + | 5.20037i | 0.187287 | + | 0.324390i | 0.944345 | − | 0.328958i | \(-0.106697\pi\) |
−0.757058 | + | 0.653348i | \(0.773364\pi\) | |||||||
\(258\) | −7.57540 | + | 11.4962i | −0.471624 | + | 0.715724i | ||||
\(259\) | −0.109735 | − | 0.121873i | −0.00681859 | − | 0.00757281i | ||||
\(260\) | 4.83350 | − | 5.25589i | 0.299761 | − | 0.325957i | ||||
\(261\) | 11.8873 | + | 27.6892i | 0.735808 | + | 1.71392i | ||||
\(262\) | −1.82895 | + | 5.62894i | −0.112993 | + | 0.347757i | ||||
\(263\) | 9.16815 | + | 10.1823i | 0.565332 | + | 0.627865i | 0.956247 | − | 0.292562i | \(-0.0945078\pi\) |
−0.390914 | + | 0.920427i | \(0.627841\pi\) | |||||||
\(264\) | 21.3794 | + | 17.5504i | 1.31581 | + | 1.08015i | ||||
\(265\) | −1.18713 | − | 12.5649i | −0.0729251 | − | 0.771854i | ||||
\(266\) | 3.27632 | − | 0.696403i | 0.200884 | − | 0.0426992i | ||||
\(267\) | −13.6341 | − | 27.2062i | −0.834394 | − | 1.66499i | ||||
\(268\) | 1.46295 | − | 2.53391i | 0.0893641 | − | 0.154783i | ||||
\(269\) | −13.3513 | − | 9.70027i | −0.814041 | − | 0.591436i | 0.100958 | − | 0.994891i | \(-0.467809\pi\) |
−0.915000 | + | 0.403455i | \(0.867809\pi\) | |||||||
\(270\) | 3.60832 | − | 11.9884i | 0.219595 | − | 0.729592i | ||||
\(271\) | −4.70284 | + | 3.41681i | −0.285677 | + | 0.207557i | −0.721390 | − | 0.692529i | \(-0.756496\pi\) |
0.435713 | + | 0.900086i | \(0.356496\pi\) | |||||||
\(272\) | 0.0763939 | + | 0.726840i | 0.00463206 | + | 0.0440711i | ||||
\(273\) | 0.680325 | − | 4.11720i | 0.0411751 | − | 0.249184i | ||||
\(274\) | 5.35931 | + | 9.28259i | 0.323768 | + | 0.560782i | ||||
\(275\) | −7.54213 | − | 24.9892i | −0.454807 | − | 1.50691i | ||||
\(276\) | 0.125581 | − | 0.0803655i | 0.00755907 | − | 0.00483743i | ||||
\(277\) | −21.9583 | − | 4.66738i | −1.31935 | − | 0.280436i | −0.506160 | − | 0.862440i | \(-0.668935\pi\) |
−0.813186 | + | 0.582004i | \(0.802269\pi\) | |||||||
\(278\) | −3.75461 | + | 2.72788i | −0.225186 | + | 0.163607i | ||||
\(279\) | 2.36102 | + | 11.8864i | 0.141351 | + | 0.711623i | ||||
\(280\) | −0.497835 | + | 4.30089i | −0.0297513 | + | 0.257027i | ||||
\(281\) | −21.1347 | + | 9.40979i | −1.26079 | + | 0.561341i | −0.924775 | − | 0.380514i | \(-0.875747\pi\) |
−0.336018 | + | 0.941856i | \(0.609080\pi\) | |||||||
\(282\) | 0.902799 | + | 19.7499i | 0.0537609 | + | 1.17609i | ||||
\(283\) | −1.95792 | + | 18.6284i | −0.116386 | + | 1.10734i | 0.767955 | + | 0.640503i | \(0.221274\pi\) |
−0.884342 | + | 0.466840i | \(0.845392\pi\) | |||||||
\(284\) | 3.52818 | − | 0.749938i | 0.209359 | − | 0.0445007i | ||||
\(285\) | 16.1277 | − | 10.0834i | 0.955323 | − | 0.597289i | ||||
\(286\) | −20.9438 | − | 4.45173i | −1.23843 | − | 0.263237i | ||||
\(287\) | −1.53143 | + | 4.71326i | −0.0903974 | + | 0.278215i | ||||
\(288\) | −9.63410 | − | 8.91050i | −0.567695 | − | 0.525056i | ||||
\(289\) | −5.19026 | − | 15.9740i | −0.305310 | − | 0.939646i | ||||
\(290\) | 19.4283 | + | 14.4301i | 1.14087 | + | 0.847366i | ||||
\(291\) | 2.66498 | + | 10.2184i | 0.156224 | + | 0.599014i | ||||
\(292\) | −1.35006 | + | 12.8449i | −0.0790061 | + | 0.751693i | ||||
\(293\) | −7.31930 | − | 12.6774i | −0.427598 | − | 0.740622i | 0.569061 | − | 0.822295i | \(-0.307307\pi\) |
−0.996659 | + | 0.0816737i | \(0.973973\pi\) | |||||||
\(294\) | −5.51815 | − | 11.0112i | −0.321825 | − | 0.642187i | ||||
\(295\) | 5.11018 | − | 15.1822i | 0.297526 | − | 0.883943i | ||||
\(296\) | 0.641201 | − | 0.465860i | 0.0372691 | − | 0.0270776i | ||||
\(297\) | 26.3377 | − | 6.49440i | 1.52827 | − | 0.376843i | ||||
\(298\) | 0.0259266 | + | 0.0797939i | 0.00150189 | + | 0.00462234i | ||||
\(299\) | −0.195275 | + | 0.338226i | −0.0112930 | + | 0.0195601i | ||||
\(300\) | 1.68523 | + | 7.06735i | 0.0972966 | + | 0.408034i | ||||
\(301\) | −2.33467 | − | 4.04377i | −0.134568 | − | 0.233079i | ||||
\(302\) | 12.3972 | − | 13.7685i | 0.713377 | − | 0.792285i | ||||
\(303\) | 2.50496 | − | 6.39756i | 0.143906 | − | 0.367530i | ||||
\(304\) | 0.830734 | + | 7.90390i | 0.0476459 | + | 0.453320i | ||||
\(305\) | 6.97892 | − | 7.58880i | 0.399612 | − | 0.434533i | ||||
\(306\) | 1.25444 | + | 0.746770i | 0.0717113 | + | 0.0426900i | ||||
\(307\) | 33.9350 | 1.93677 | 0.968386 | − | 0.249455i | \(-0.0802515\pi\) | ||||
0.968386 | + | 0.249455i | \(0.0802515\pi\) | |||||||
\(308\) | −2.53255 | + | 1.12757i | −0.144306 | + | 0.0642490i | ||||
\(309\) | 1.91709 | + | 0.527434i | 0.109059 | + | 0.0300047i | ||||
\(310\) | 6.43617 | + | 7.30110i | 0.365550 | + | 0.414675i | ||||
\(311\) | 6.10247 | − | 6.77748i | 0.346040 | − | 0.384316i | −0.544852 | − | 0.838532i | \(-0.683414\pi\) |
0.890891 | + | 0.454217i | \(0.150081\pi\) | |||||||
\(312\) | 19.4451 | + | 5.34978i | 1.10086 | + | 0.302872i | ||||
\(313\) | −15.8589 | − | 17.6131i | −0.896398 | − | 0.995551i | −1.00000 | 0.000932210i | \(-0.999703\pi\) | |
0.103601 | − | 0.994619i | \(-0.466963\pi\) | |||||||
\(314\) | 3.80788 | + | 11.7194i | 0.214891 | + | 0.661366i | ||||
\(315\) | 3.08670 | + | 2.91570i | 0.173916 | + | 0.164281i | ||||
\(316\) | −0.353813 | + | 1.08892i | −0.0199035 | + | 0.0612567i | ||||
\(317\) | −26.3835 | + | 11.7467i | −1.48184 | + | 0.659759i | −0.978859 | − | 0.204536i | \(-0.934432\pi\) |
−0.502985 | + | 0.864295i | \(0.667765\pi\) | |||||||
\(318\) | 8.87261 | − | 5.67803i | 0.497551 | − | 0.318408i | ||||
\(319\) | −5.48113 | + | 52.1494i | −0.306884 | + | 2.91981i | ||||
\(320\) | −17.3484 | − | 3.87868i | −0.969805 | − | 0.216825i | ||||
\(321\) | 7.02640 | − | 1.06481i | 0.392175 | − | 0.0594317i | ||||
\(322\) | −0.00731488 | − | 0.0695964i | −0.000407642 | − | 0.00387846i | ||||
\(323\) | 0.685378 | + | 2.10938i | 0.0381354 | + | 0.117369i | ||||
\(324\) | −7.42483 | + | 1.37196i | −0.412491 | + | 0.0762200i | ||||
\(325\) | −12.4344 | − | 14.4082i | −0.689739 | − | 0.799222i | ||||
\(326\) | −2.45523 | + | 4.25258i | −0.135983 | + | 0.235529i | ||||
\(327\) | 0.0279833 | − | 0.169350i | 0.00154748 | − | 0.00936508i | ||||
\(328\) | −21.8800 | − | 9.74161i | −1.20812 | − | 0.537891i | ||||
\(329\) | −6.12552 | − | 2.72726i | −0.337711 | − | 0.150358i | ||||
\(330\) | 15.6680 | − | 15.1381i | 0.862493 | − | 0.833324i | ||||
\(331\) | −22.2886 | + | 9.92350i | −1.22509 | + | 0.545445i | −0.914302 | − | 0.405034i | \(-0.867260\pi\) |
−0.310788 | + | 0.950479i | \(0.600593\pi\) | |||||||
\(332\) | −1.79470 | −0.0984972 | ||||||||
\(333\) | 0.0103843 | − | 0.777205i | 0.000569058 | − | 0.0425906i | ||||
\(334\) | 4.98537 | − | 15.3434i | 0.272787 | − | 0.839553i | ||||
\(335\) | −6.26055 | − | 4.64995i | −0.342051 | − | 0.254054i | ||||
\(336\) | −1.66053 | + | 0.624724i | −0.0905895 | + | 0.0340815i | ||||
\(337\) | 1.26985 | − | 0.269916i | 0.0691734 | − | 0.0147033i | −0.173195 | − | 0.984888i | \(-0.555409\pi\) |
0.242368 | + | 0.970184i | \(0.422076\pi\) | |||||||
\(338\) | −1.56877 | + | 0.333452i | −0.0853297 | + | 0.0181374i | ||||
\(339\) | −21.5535 | + | 8.10883i | −1.17062 | + | 0.440411i | ||||
\(340\) | −0.847165 | − | 0.00891166i | −0.0459440 | − | 0.000483303i | ||||
\(341\) | −6.51673 | + | 20.0564i | −0.352901 | + | 1.08612i | ||||
\(342\) | 13.6412 | + | 8.12063i | 0.737629 | + | 0.439113i | ||||
\(343\) | 8.60793 | 0.464784 | ||||||||
\(344\) | 20.6153 | − | 9.17850i | 1.11150 | − | 0.494872i | ||||
\(345\) | −0.174293 | − | 0.357123i | −0.00938362 | − | 0.0192269i | ||||
\(346\) | 3.51765 | + | 1.56616i | 0.189110 | + | 0.0841971i | ||||
\(347\) | 15.7936 | + | 7.03179i | 0.847847 | + | 0.377486i | 0.784216 | − | 0.620487i | \(-0.213065\pi\) |
0.0636311 | + | 0.997973i | \(0.479732\pi\) | |||||||
\(348\) | 2.37948 | − | 14.4002i | 0.127553 | − | 0.771930i | ||||
\(349\) | 14.5339 | − | 25.1734i | 0.777980 | − | 1.34750i | −0.155124 | − | 0.987895i | \(-0.549578\pi\) |
0.933104 | − | 0.359606i | \(-0.117089\pi\) | |||||||
\(350\) | 3.32000 | + | 0.779028i | 0.177461 | + | 0.0416408i | ||||
\(351\) | 15.6171 | − | 12.1365i | 0.833579 | − | 0.647797i | ||||
\(352\) | −7.05679 | − | 21.7186i | −0.376128 | − | 1.15760i | ||||
\(353\) | 1.95250 | + | 18.5768i | 0.103921 | + | 0.988745i | 0.914903 | + | 0.403674i | \(0.132267\pi\) |
−0.810982 | + | 0.585071i | \(0.801066\pi\) | |||||||
\(354\) | 13.2194 | − | 2.00332i | 0.702602 | − | 0.106475i | ||||
\(355\) | −0.904293 | − | 9.57122i | −0.0479949 | − | 0.507988i | ||||
\(356\) | −1.54074 | + | 14.6592i | −0.0816592 | + | 0.776935i | ||||
\(357\) | −0.417037 | + | 0.266884i | −0.0220720 | + | 0.0141250i | ||||
\(358\) | 21.4459 | − | 9.54833i | 1.13345 | − | 0.504645i | ||||
\(359\) | 1.18928 | − | 3.66023i | 0.0627679 | − | 0.193180i | −0.914755 | − | 0.404009i | \(-0.867616\pi\) |
0.977523 | + | 0.210829i | \(0.0676164\pi\) | |||||||
\(360\) | −15.5733 | + | 13.3629i | −0.820783 | + | 0.704287i | ||||
\(361\) | 1.58171 | + | 4.86800i | 0.0832479 | + | 0.256211i | ||||
\(362\) | −12.9903 | − | 14.4271i | −0.682752 | − | 0.758273i | ||||
\(363\) | 27.1439 | + | 7.46788i | 1.42468 | + | 0.391962i | ||||
\(364\) | −1.35250 | + | 1.50210i | −0.0708901 | + | 0.0787315i | ||||
\(365\) | 33.5951 | + | 7.51106i | 1.75845 | + | 0.393147i | ||||
\(366\) | 8.29687 | + | 2.28265i | 0.433684 | + | 0.119316i | ||||
\(367\) | 21.1594 | − | 9.42078i | 1.10451 | − | 0.491761i | 0.228254 | − | 0.973602i | \(-0.426698\pi\) |
0.876259 | + | 0.481841i | \(0.160032\pi\) | |||||||
\(368\) | 0.166042 | 0.00865554 | ||||||||
\(369\) | −20.4967 | + | 11.4714i | −1.06702 | + | 0.597180i | ||||
\(370\) | −0.306425 | − | 0.543877i | −0.0159303 | − | 0.0282748i | ||||
\(371\) | 0.373437 | + | 3.55302i | 0.0193879 | + | 0.184464i | ||||
\(372\) | 2.14013 | − | 5.46583i | 0.110961 | − | 0.283390i | ||||
\(373\) | −11.0705 | + | 12.2951i | −0.573210 | + | 0.636614i | −0.958129 | − | 0.286336i | \(-0.907563\pi\) |
0.384919 | + | 0.922950i | \(0.374229\pi\) | |||||||
\(374\) | 1.27023 | + | 2.20010i | 0.0656820 | + | 0.113765i | ||||
\(375\) | 19.2283 | − | 2.29596i | 0.992947 | − | 0.118563i | ||||
\(376\) | 16.2026 | − | 28.0638i | 0.835587 | − | 1.44728i | ||||
\(377\) | 11.8145 | + | 36.3612i | 0.608477 | + | 1.87270i | ||||
\(378\) | −0.985657 | + | 3.40413i | −0.0506967 | + | 0.175090i | ||||
\(379\) | −18.9711 | + | 13.7833i | −0.974478 | + | 0.708000i | −0.956468 | − | 0.291838i | \(-0.905733\pi\) |
−0.0180106 | + | 0.999838i | \(0.505733\pi\) | |||||||
\(380\) | −9.21236 | − | 0.0969084i | −0.472584 | − | 0.00497130i | ||||
\(381\) | 4.35403 | + | 8.68826i | 0.223064 | + | 0.445113i | ||||
\(382\) | −5.50218 | − | 9.53006i | −0.281516 | − | 0.487600i | ||||
\(383\) | 2.27612 | − | 21.6559i | 0.116304 | − | 1.10656i | −0.768258 | − | 0.640140i | \(-0.778876\pi\) |
0.884562 | − | 0.466422i | \(-0.154457\pi\) | |||||||
\(384\) | 0.0797188 | + | 0.305668i | 0.00406813 | + | 0.0155985i | ||||
\(385\) | 2.20925 | + | 7.05088i | 0.112594 | + | 0.359346i | ||||
\(386\) | 4.23305 | + | 13.0280i | 0.215457 | + | 0.663107i | ||||
\(387\) | 4.89004 | − | 21.5838i | 0.248575 | − | 1.09716i | ||||
\(388\) | 1.58063 | − | 4.86466i | 0.0802441 | − | 0.246966i | ||||
\(389\) | 1.06664 | + | 0.226720i | 0.0540805 | + | 0.0114952i | 0.234873 | − | 0.972026i | \(-0.424533\pi\) |
−0.180792 | + | 0.983521i | \(0.557866\pi\) | |||||||
\(390\) | 5.94682 | − | 14.7297i | 0.301129 | − | 0.745865i | ||||
\(391\) | 0.0453255 | − | 0.00963424i | 0.00229221 | − | 0.000487224i | ||||
\(392\) | −2.11018 | + | 20.0770i | −0.106580 | + | 1.01404i | ||||
\(393\) | −0.434437 | − | 9.50389i | −0.0219145 | − | 0.479408i | ||||
\(394\) | −6.65912 | + | 2.96483i | −0.335482 | + | 0.149366i | ||||
\(395\) | 2.77465 | + | 1.27049i | 0.139608 | + | 0.0639255i | ||||
\(396\) | −12.4408 | − | 4.22683i | −0.625173 | − | 0.212406i | ||||
\(397\) | −15.4671 | + | 11.2375i | −0.776274 | + | 0.563996i | −0.903858 | − | 0.427832i | \(-0.859278\pi\) |
0.127585 | + | 0.991828i | \(0.459278\pi\) | |||||||
\(398\) | −7.47901 | − | 1.58971i | −0.374889 | − | 0.0796850i | ||||
\(399\) | −4.53501 | + | 2.90218i | −0.227034 | + | 0.145291i | ||||
\(400\) | −2.66170 | + | 7.64105i | −0.133085 | + | 0.382052i | ||||
\(401\) | 0.466700 | + | 0.808348i | 0.0233059 | + | 0.0403670i | 0.877443 | − | 0.479681i | \(-0.159248\pi\) |
−0.854137 | + | 0.520048i | \(0.825914\pi\) | |||||||
\(402\) | 1.06115 | − | 6.42189i | 0.0529254 | − | 0.320295i | ||||
\(403\) | 1.60723 | + | 15.2918i | 0.0800620 | + | 0.761739i | ||||
\(404\) | −2.69227 | + | 1.95605i | −0.133946 | + | 0.0973172i | ||||
\(405\) | 1.35698 | + | 20.0788i | 0.0674289 | + | 0.997724i | ||||
\(406\) | −5.54224 | − | 4.02668i | −0.275057 | − | 0.199841i | ||||
\(407\) | 0.676296 | − | 1.17138i | 0.0335228 | − | 0.0580631i | ||||
\(408\) | −1.07207 | − | 2.13926i | −0.0530752 | − | 0.105909i | ||||
\(409\) | 22.3449 | − | 4.74956i | 1.10488 | − | 0.234851i | 0.380866 | − | 0.924630i | \(-0.375626\pi\) |
0.724019 | + | 0.689780i | \(0.242293\pi\) | |||||||
\(410\) | −9.60358 | + | 16.2370i | −0.474287 | + | 0.801889i | ||||
\(411\) | −13.3171 | − | 10.9321i | −0.656885 | − | 0.539240i | ||||
\(412\) | −0.644424 | − | 0.715705i | −0.0317485 | − | 0.0352603i | ||||
\(413\) | −1.40126 | + | 4.31263i | −0.0689514 | + | 0.212210i | ||||
\(414\) | 0.198521 | − | 0.265703i | 0.00975679 | − | 0.0130586i | ||||
\(415\) | −0.550022 | + | 4.75175i | −0.0269995 | + | 0.233254i | ||||
\(416\) | −11.1412 | − | 12.3736i | −0.546244 | − | 0.606665i | ||||
\(417\) | 4.10473 | − | 6.22924i | 0.201010 | − | 0.305047i | ||||
\(418\) | 13.8129 | + | 23.9247i | 0.675611 | + | 1.17019i | ||||
\(419\) | 1.10970 | − | 10.5580i | 0.0542122 | − | 0.515794i | −0.933395 | − | 0.358850i | \(-0.883169\pi\) |
0.987607 | − | 0.156944i | \(-0.0501643\pi\) | |||||||
\(420\) | −0.498056 | − | 1.99543i | −0.0243026 | − | 0.0973672i | ||||
\(421\) | −1.92171 | − | 18.2838i | −0.0936583 | − | 0.891099i | −0.935963 | − | 0.352098i | \(-0.885468\pi\) |
0.842305 | − | 0.539001i | \(-0.181198\pi\) | |||||||
\(422\) | −23.0968 | + | 16.7808i | −1.12434 | + | 0.816878i | ||||
\(423\) | −12.5370 | − | 29.2025i | −0.609572 | − | 1.41988i | ||||
\(424\) | −17.2658 | −0.838500 | ||||||||
\(425\) | −0.283225 | + | 2.24026i | −0.0137384 | + | 0.108669i | ||||
\(426\) | 6.75866 | − | 4.32521i | 0.327458 | − | 0.209557i | ||||
\(427\) | −1.95282 | + | 2.16883i | −0.0945038 | + | 0.104957i | ||||
\(428\) | −3.14461 | − | 1.40007i | −0.152001 | − | 0.0676751i | ||||
\(429\) | 34.0294 | − | 5.15695i | 1.64296 | − | 0.248980i | ||||
\(430\) | −5.31437 | − | 16.9610i | −0.256282 | − | 0.817930i | ||||
\(431\) | −5.96554 | − | 4.33422i | −0.287350 | − | 0.208772i | 0.434767 | − | 0.900543i | \(-0.356831\pi\) |
−0.722117 | + | 0.691771i | \(0.756831\pi\) | |||||||
\(432\) | −7.78833 | − | 3.17015i | −0.374716 | − | 0.152524i | ||||
\(433\) | 4.26267 | + | 3.09701i | 0.204851 | + | 0.148833i | 0.685481 | − | 0.728091i | \(-0.259592\pi\) |
−0.480630 | + | 0.876923i | \(0.659592\pi\) | |||||||
\(434\) | −1.84353 | − | 2.04745i | −0.0884924 | − | 0.0982808i | ||||
\(435\) | −37.3973 | − | 10.7132i | −1.79306 | − | 0.513660i | ||||
\(436\) | −0.0556314 | + | 0.0617849i | −0.00266426 | + | 0.00295896i | ||||
\(437\) | 0.492885 | − | 0.104766i | 0.0235779 | − | 0.00501164i | ||||
\(438\) | 7.25089 | + | 27.8023i | 0.346461 | + | 1.32844i | ||||
\(439\) | 33.0600 | + | 7.02713i | 1.57787 | + | 0.335386i | 0.911842 | − | 0.410541i | \(-0.134660\pi\) |
0.666027 | + | 0.745927i | \(0.267993\pi\) | |||||||
\(440\) | −35.0052 | + | 7.05657i | −1.66881 | + | 0.336409i | ||||
\(441\) | 14.5345 | + | 13.4429i | 0.692120 | + | 0.640137i | ||||
\(442\) | 1.49853 | + | 1.08875i | 0.0712780 | + | 0.0517865i | ||||
\(443\) | 11.5704 | − | 20.0405i | 0.549726 | − | 0.952153i | −0.448567 | − | 0.893749i | \(-0.648065\pi\) |
0.998293 | − | 0.0584042i | \(-0.0186012\pi\) | |||||||
\(444\) | −0.207153 | + | 0.314371i | −0.00983107 | + | 0.0149194i | ||||
\(445\) | 38.3402 | + | 8.57194i | 1.81750 | + | 0.406349i | ||||
\(446\) | 3.87606 | + | 1.72574i | 0.183537 | + | 0.0817159i | ||||
\(447\) | −0.0841710 | − | 0.105374i | −0.00398115 | − | 0.00498403i | ||||
\(448\) | 4.92211 | + | 1.04623i | 0.232548 | + | 0.0494295i | ||||
\(449\) | 19.7430 | 0.931731 | 0.465866 | − | 0.884856i | \(-0.345743\pi\) | ||||
0.465866 | + | 0.884856i | \(0.345743\pi\) | |||||||
\(450\) | 9.04495 | + | 13.3950i | 0.426383 | + | 0.631446i | ||||
\(451\) | −40.8741 | −1.92469 | ||||||||
\(452\) | 10.9104 | + | 2.31908i | 0.513183 | + | 0.109080i | ||||
\(453\) | −10.8582 | + | 27.7315i | −0.510164 | + | 1.30294i | ||||
\(454\) | −23.7788 | − | 10.5870i | −1.11599 | − | 0.496873i | ||||
\(455\) | 3.56254 | + | 4.04129i | 0.167014 | + | 0.189458i | ||||
\(456\) | −11.6580 | − | 23.2630i | −0.545937 | − | 1.08939i | ||||
\(457\) | −0.754881 | + | 1.30749i | −0.0353119 | + | 0.0611619i | −0.883141 | − | 0.469107i | \(-0.844576\pi\) |
0.847829 | + | 0.530269i | \(0.177909\pi\) | |||||||
\(458\) | 13.2008 | + | 9.59095i | 0.616834 | + | 0.448156i | ||||
\(459\) | −2.30997 | − | 0.413475i | −0.107820 | − | 0.0192993i | ||||
\(460\) | −0.0221321 | + | 0.191203i | −0.00103191 | + | 0.00891490i | ||||
\(461\) | −0.971865 | − | 0.206576i | −0.0452643 | − | 0.00962122i | 0.185224 | − | 0.982696i | \(-0.440699\pi\) |
−0.230488 | + | 0.973075i | \(0.574032\pi\) | |||||||
\(462\) | −4.38983 | + | 4.33157i | −0.204233 | + | 0.201523i | ||||
\(463\) | −18.7069 | + | 3.97626i | −0.869381 | + | 0.184793i | −0.620944 | − | 0.783855i | \(-0.713250\pi\) |
−0.248438 | + | 0.968648i | \(0.579917\pi\) | |||||||
\(464\) | 10.8764 | − | 12.0794i | 0.504923 | − | 0.560774i | ||||
\(465\) | −13.8157 | − | 7.34143i | −0.640688 | − | 0.340451i | ||||
\(466\) | −9.20632 | − | 10.2247i | −0.426474 | − | 0.473648i | ||||
\(467\) | −7.86342 | − | 5.71311i | −0.363875 | − | 0.264371i | 0.390791 | − | 0.920479i | \(-0.372201\pi\) |
−0.754667 | + | 0.656108i | \(0.772201\pi\) | |||||||
\(468\) | −9.54007 | + | 0.874008i | −0.440990 | + | 0.0404010i | ||||
\(469\) | 1.78593 | + | 1.29755i | 0.0824665 | + | 0.0599154i | ||||
\(470\) | −20.4901 | − | 15.2188i | −0.945139 | − | 0.701991i | ||||
\(471\) | −12.3623 | − | 15.4764i | −0.569625 | − | 0.713116i | ||||
\(472\) | −20.0202 | − | 8.91357i | −0.921505 | − | 0.410280i | ||||
\(473\) | 25.7691 | − | 28.6195i | 1.18487 | − | 1.31593i | ||||
\(474\) | 0.116310 | + | 2.54443i | 0.00534228 | + | 0.116869i | ||||
\(475\) | −3.07989 | + | 24.3614i | −0.141315 | + | 1.11778i | ||||
\(476\) | 0.239821 | 0.0109922 | ||||||||
\(477\) | −10.1349 | + | 13.5646i | −0.464044 | + | 0.621080i | ||||
\(478\) | 11.1804 | − | 8.12306i | 0.511381 | − | 0.371540i | ||||
\(479\) | 1.61586 | + | 15.3739i | 0.0738307 | + | 0.702452i | 0.967353 | + | 0.253433i | \(0.0815597\pi\) |
−0.893522 | + | 0.449019i | \(0.851774\pi\) | |||||||
\(480\) | 16.7762 | − | 2.36209i | 0.765727 | − | 0.107814i | ||||
\(481\) | 0.103086 | − | 0.980795i | 0.00470030 | − | 0.0447204i | ||||
\(482\) | −14.8924 | − | 25.7944i | −0.678331 | − | 1.17490i | ||||
\(483\) | 0.0503979 | + | 0.100567i | 0.00229318 | + | 0.00457594i | ||||
\(484\) | −9.12433 | − | 10.1336i | −0.414742 | − | 0.460618i | ||||
\(485\) | −12.3955 | − | 5.67581i | −0.562851 | − | 0.257725i | ||||
\(486\) | −14.3847 | + | 8.67271i | −0.652504 | + | 0.393402i | ||||
\(487\) | 4.43743 | − | 13.6570i | 0.201079 | − | 0.618858i | −0.798773 | − | 0.601633i | \(-0.794517\pi\) |
0.999852 | − | 0.0172246i | \(-0.00548302\pi\) | |||||||
\(488\) | −9.43769 | − | 10.4816i | −0.427224 | − | 0.474481i | ||||
\(489\) | 1.28683 | − | 7.78766i | 0.0581925 | − | 0.352170i | ||||
\(490\) | 15.5175 | + | 3.46933i | 0.701007 | + | 0.156728i | ||||
\(491\) | 3.67039 | − | 0.780165i | 0.165642 | − | 0.0352084i | −0.124344 | − | 0.992239i | \(-0.539683\pi\) |
0.289986 | + | 0.957031i | \(0.406349\pi\) | |||||||
\(492\) | 11.3572 | + | 0.671311i | 0.512023 | + | 0.0302650i | ||||
\(493\) | 2.26811 | − | 3.92848i | 0.102150 | − | 0.176930i | ||||
\(494\) | 16.2956 | + | 11.8394i | 0.733173 | + | 0.532681i | ||||
\(495\) | −15.0039 | + | 31.6434i | −0.674374 | + | 1.42227i | ||||
\(496\) | 5.28863 | − | 3.84242i | 0.237467 | − | 0.172530i | ||||
\(497\) | 0.284464 | + | 2.70649i | 0.0127599 | + | 0.121403i | ||||
\(498\) | −3.73680 | + | 1.40585i | −0.167450 | + | 0.0629978i | ||||
\(499\) | −1.24260 | − | 2.15224i | −0.0556263 | − | 0.0963476i | 0.836871 | − | 0.547400i | \(-0.184382\pi\) |
−0.892498 | + | 0.451052i | \(0.851049\pi\) | |||||||
\(500\) | −8.44416 | − | 4.08353i | −0.377634 | − | 0.182621i | ||||
\(501\) | 1.18419 | + | 25.9058i | 0.0529058 | + | 1.15738i | ||||
\(502\) | 3.04587 | + | 0.647421i | 0.135944 | + | 0.0288958i | ||||
\(503\) | −2.61295 | + | 1.89842i | −0.116506 | + | 0.0846463i | −0.644512 | − | 0.764594i | \(-0.722940\pi\) |
0.528007 | + | 0.849240i | \(0.322940\pi\) | |||||||
\(504\) | 4.36831 | − | 3.82881i | 0.194580 | − | 0.170549i | ||||
\(505\) | 4.35384 | + | 7.72766i | 0.193743 | + | 0.343877i | ||||
\(506\) | 0.527273 | − | 0.234757i | 0.0234402 | − | 0.0104362i | ||||
\(507\) | 2.17145 | − | 1.38962i | 0.0964376 | − | 0.0617154i | ||||
\(508\) | 0.492033 | − | 4.68138i | 0.0218304 | − | 0.207703i | ||||
\(509\) | −12.1415 | + | 2.58076i | −0.538163 | + | 0.114390i | −0.468972 | − | 0.883213i | \(-0.655375\pi\) |
−0.0691916 | + | 0.997603i | \(0.522042\pi\) | |||||||
\(510\) | −1.77088 | + | 0.645058i | −0.0784160 | + | 0.0285636i | ||||
\(511\) | −9.53164 | − | 2.02601i | −0.421655 | − | 0.0896255i | ||||
\(512\) | −5.24697 | + | 16.1485i | −0.231885 | + | 0.713670i | ||||
\(513\) | −25.1194 | − | 4.49627i | −1.10905 | − | 0.198515i | ||||
\(514\) | −1.99946 | − | 6.15369i | −0.0881922 | − | 0.271428i | ||||
\(515\) | −2.09243 | + | 1.48687i | −0.0922036 | + | 0.0655191i | ||||
\(516\) | −7.63022 | + | 7.52896i | −0.335902 | + | 0.331444i | ||||
\(517\) | 5.78070 | − | 54.9997i | 0.254235 | − | 2.41888i | ||||
\(518\) | 0.0883547 | + | 0.153035i | 0.00388208 | + | 0.00672397i | ||||
\(519\) | −6.17873 | − | 0.365217i | −0.271216 | − | 0.0160312i | ||||
\(520\) | −21.2236 | + | 15.0813i | −0.930717 | + | 0.661360i | ||||
\(521\) | 18.5974 | − | 13.5118i | 0.814765 | − | 0.591962i | −0.100443 | − | 0.994943i | \(-0.532026\pi\) |
0.915208 | + | 0.402981i | \(0.132026\pi\) | |||||||
\(522\) | −6.32578 | − | 31.8468i | −0.276872 | − | 1.39390i | ||||
\(523\) | −6.02620 | − | 18.5468i | −0.263508 | − | 0.810993i | −0.992033 | − | 0.125975i | \(-0.959794\pi\) |
0.728526 | − | 0.685018i | \(-0.240206\pi\) | |||||||
\(524\) | −2.30409 | + | 3.99080i | −0.100654 | + | 0.174339i | ||||
\(525\) | −5.43584 | + | 0.707138i | −0.237240 | + | 0.0308620i | ||||
\(526\) | −7.38188 | − | 12.7858i | −0.321865 | − | 0.557487i | ||||
\(527\) | 1.22072 | − | 1.35575i | 0.0531755 | − | 0.0590574i | ||||
\(528\) | −9.13252 | − | 11.4331i | −0.397442 | − | 0.497560i | ||||
\(529\) | 2.40305 | + | 22.8635i | 0.104481 | + | 0.994067i | ||||
\(530\) | −1.56369 | + | 13.5090i | −0.0679224 | + | 0.586794i | ||||
\(531\) | −18.7545 | + | 10.4964i | −0.813876 | + | 0.455503i | ||||
\(532\) | 2.60790 | 0.113067 | ||||||||
\(533\) | −27.2255 | + | 12.1216i | −1.17927 | + | 0.525043i | ||||
\(534\) | 8.27502 | + | 31.7291i | 0.358095 | + | 1.37305i | ||||
\(535\) | −4.67063 | + | 7.89675i | −0.201929 | + | 0.341406i | ||||
\(536\) | −7.13872 | + | 7.92835i | −0.308346 | + | 0.342453i | ||||
\(537\) | −26.8606 | + | 26.5041i | −1.15912 | + | 1.14374i | ||||
\(538\) | 11.8988 | + | 13.2149i | 0.512992 | + | 0.569736i | ||||
\(539\) | 10.6463 | + | 32.7658i | 0.458567 | + | 1.41132i | ||||
\(540\) | 4.68867 | − | 8.54598i | 0.201768 | − | 0.367760i | ||||
\(541\) | −4.92323 | + | 15.1521i | −0.211666 | + | 0.651442i | 0.787707 | + | 0.616050i | \(0.211268\pi\) |
−0.999374 | + | 0.0353920i | \(0.988732\pi\) | |||||||
\(542\) | 5.72214 | − | 2.54766i | 0.245787 | − | 0.109431i | ||||
\(543\) | 27.7097 | + | 14.3528i | 1.18914 | + | 0.615936i | ||||
\(544\) | −0.206499 | + | 1.96471i | −0.00885358 | + | 0.0842362i | ||||
\(545\) | 0.146535 | + | 0.166228i | 0.00627689 | + | 0.00712041i | ||||
\(546\) | −1.63942 | + | 4.18702i | −0.0701607 | + | 0.179188i | ||||
\(547\) | 1.52095 | + | 14.4708i | 0.0650310 | + | 0.618729i | 0.977697 | + | 0.210022i | \(0.0673535\pi\) |
−0.912666 | + | 0.408707i | \(0.865980\pi\) | |||||||
\(548\) | 2.57887 | + | 7.93695i | 0.110164 | + | 0.339050i | ||||
\(549\) | −13.7746 | + | 1.26195i | −0.587884 | + | 0.0538587i | ||||
\(550\) | 2.35090 | + | 28.0277i | 0.100243 | + | 1.19510i | ||||
\(551\) | 24.6642 | − | 42.7196i | 1.05073 | − | 1.81992i | ||||
\(552\) | −0.508820 | + | 0.191428i | −0.0216568 | + | 0.00814771i | ||||
\(553\) | −0.789164 | − | 0.351358i | −0.0335587 | − | 0.0149413i | ||||
\(554\) | 22.0979 | + | 9.83860i | 0.938848 | + | 0.418002i | ||||
\(555\) | 0.768857 | + | 0.644815i | 0.0326362 | + | 0.0273709i | ||||
\(556\) | −3.30100 | + | 1.46970i | −0.139994 | + | 0.0623291i | ||||
\(557\) | 31.2370 | 1.32355 | 0.661776 | − | 0.749701i | \(-0.269803\pi\) | ||||
0.661776 | + | 0.749701i | \(0.269803\pi\) | |||||||
\(558\) | 0.174456 | − | 13.0570i | 0.00738530 | − | 0.552745i | ||||
\(559\) | 8.67697 | − | 26.7050i | 0.366997 | − | 1.12950i | ||||
\(560\) | 0.730657 | − | 2.17076i | 0.0308759 | − | 0.0917316i | ||||
\(561\) | −3.15634 | − | 2.59106i | −0.133261 | − | 0.109394i | ||||
\(562\) | 24.3836 | − | 5.18289i | 1.02856 | − | 0.218627i | ||||
\(563\) | 39.2819 | − | 8.34963i | 1.65554 | − | 0.351895i | 0.716999 | − | 0.697074i | \(-0.245515\pi\) |
0.938537 | + | 0.345179i | \(0.112182\pi\) | |||||||
\(564\) | −2.50953 | + | 15.1872i | −0.105670 | + | 0.639497i | ||||
\(565\) | 9.48382 | − | 28.1762i | 0.398987 | − | 1.18538i | ||||
\(566\) | 6.23691 | − | 19.1952i | 0.262157 | − | 0.806836i | ||||
\(567\) | −0.443887 | − | 5.67937i | −0.0186415 | − | 0.238511i | ||||
\(568\) | −13.1521 | −0.551850 | ||||||||
\(569\) | 29.0226 | − | 12.9217i | 1.21669 | − | 0.541706i | 0.304910 | − | 0.952381i | \(-0.401374\pi\) |
0.911782 | + | 0.410675i | \(0.134707\pi\) | |||||||
\(570\) | −19.2572 | + | 7.01458i | −0.806594 | + | 0.293808i | ||||
\(571\) | −17.6053 | − | 7.83839i | −0.736759 | − | 0.328026i | 0.00382238 | − | 0.999993i | \(-0.498783\pi\) |
−0.740582 | + | 0.671966i | \(0.765450\pi\) | |||||||
\(572\) | −15.2296 | − | 6.78066i | −0.636782 | − | 0.283514i | ||||
\(573\) | 13.6721 | + | 11.2235i | 0.571162 | + | 0.468870i | ||||
\(574\) | 2.67000 | − | 4.62457i | 0.111444 | − | 0.193026i | ||||
\(575\) | 0.499456 | + | 0.117196i | 0.0208288 | + | 0.00488741i | ||||
\(576\) | 13.7596 | + | 19.4806i | 0.573317 | + | 0.811691i | ||||
\(577\) | 9.95121 | + | 30.6267i | 0.414274 | + | 1.27500i | 0.912898 | + | 0.408187i | \(0.133839\pi\) |
−0.498624 | + | 0.866818i | \(0.666161\pi\) | |||||||
\(578\) | 1.89177 | + | 17.9990i | 0.0786871 | + | 0.748658i | ||||
\(579\) | −13.7426 | − | 17.2045i | −0.571125 | − | 0.714994i | ||||
\(580\) | 12.4602 | + | 14.1346i | 0.517381 | + | 0.586909i | ||||
\(581\) | 0.141538 | − | 1.34665i | 0.00587199 | − | 0.0558683i | ||||
\(582\) | −0.519602 | − | 11.3670i | −0.0215382 | − | 0.471177i | ||||
\(583\) | −26.9182 | + | 11.9848i | −1.11484 | + | 0.496359i | ||||
\(584\) | 14.5529 | − | 44.7891i | 0.602202 | − | 1.85339i | ||||
\(585\) | −0.609674 | + | 25.5266i | −0.0252069 | + | 1.05540i | ||||
\(586\) | 4.87425 | + | 15.0014i | 0.201353 | + | 0.619702i | ||||
\(587\) | −7.74963 | − | 8.60684i | −0.319862 | − | 0.355242i | 0.561675 | − | 0.827358i | \(-0.310157\pi\) |
−0.881537 | + | 0.472116i | \(0.843490\pi\) | |||||||
\(588\) | −2.42002 | − | 9.27913i | −0.0997998 | − | 0.382665i | ||||
\(589\) | 13.2746 | − | 14.7429i | 0.546968 | − | 0.607470i | ||||
\(590\) | −8.78726 | + | 14.8569i | −0.361766 | + | 0.611647i | ||||
\(591\) | 8.34042 | − | 8.22973i | 0.343079 | − | 0.338526i | ||||
\(592\) | −0.383032 | + | 0.170537i | −0.0157425 | + | 0.00700903i | ||||
\(593\) | −22.3537 | −0.917955 | −0.458977 | − | 0.888448i | \(-0.651784\pi\) | ||||
−0.458977 | + | 0.888448i | \(0.651784\pi\) | |||||||
\(594\) | −29.2142 | + | 0.944516i | −1.19868 | + | 0.0387539i | ||||
\(595\) | 0.0734979 | − | 0.634962i | 0.00301312 | − | 0.0260309i | ||||
\(596\) | 0.00682821 | + | 0.0649660i | 0.000279694 | + | 0.00266111i | ||||
\(597\) | 12.1519 | − | 1.84154i | 0.497343 | − | 0.0753693i | ||||
\(598\) | 0.281588 | − | 0.312735i | 0.0115150 | − | 0.0127887i | ||||
\(599\) | −2.18765 | − | 3.78911i | −0.0893848 | − | 0.154819i | 0.817866 | − | 0.575408i | \(-0.195157\pi\) |
−0.907251 | + | 0.420589i | \(0.861823\pi\) | |||||||
\(600\) | −0.652741 | − | 26.4839i | −0.0266480 | − | 1.08120i | ||||
\(601\) | −7.07808 | + | 12.2596i | −0.288721 | + | 0.500079i | −0.973505 | − | 0.228667i | \(-0.926563\pi\) |
0.684784 | + | 0.728746i | \(0.259897\pi\) | |||||||
\(602\) | 1.55476 | + | 4.78507i | 0.0633674 | + | 0.195025i | ||||
\(603\) | 2.03841 | + | 10.2623i | 0.0830106 | + | 0.417913i | ||||
\(604\) | 11.6702 | − | 8.47889i | 0.474853 | − | 0.345001i | ||||
\(605\) | −29.6265 | + | 21.0524i | −1.20449 | + | 0.855901i | ||||
\(606\) | −4.07340 | + | 6.18169i | −0.165471 | + | 0.251114i | ||||
\(607\) | 17.2199 | + | 29.8257i | 0.698933 | + | 1.21059i | 0.968837 | + | 0.247700i | \(0.0796748\pi\) |
−0.269904 | + | 0.962887i | \(0.586992\pi\) | |||||||
\(608\) | −2.24554 | + | 21.3649i | −0.0910688 | + | 0.866462i | ||||
\(609\) | 10.6174 | + | 2.92108i | 0.430239 | + | 0.118368i | ||||
\(610\) | −9.05572 | + | 6.43492i | −0.366655 | + | 0.260542i | ||||
\(611\) | −12.4602 | − | 38.3486i | −0.504086 | − | 1.55142i | ||||
\(612\) | 0.834462 | + | 0.771787i | 0.0337311 | + | 0.0311976i | ||||
\(613\) | −2.88297 | + | 8.87288i | −0.116442 | + | 0.358372i | −0.992245 | − | 0.124297i | \(-0.960333\pi\) |
0.875803 | + | 0.482669i | \(0.160333\pi\) | |||||||
\(614\) | −35.7667 | − | 7.60244i | −1.44342 | − | 0.306809i | ||||
\(615\) | 5.25804 | − | 29.8642i | 0.212025 | − | 1.20424i | ||||
\(616\) | 9.88739 | − | 2.10163i | 0.398374 | − | 0.0846771i | ||||
\(617\) | 2.26139 | − | 21.5157i | 0.0910401 | − | 0.866189i | −0.849747 | − | 0.527191i | \(-0.823245\pi\) |
0.940787 | − | 0.338998i | \(-0.110088\pi\) | |||||||
\(618\) | −1.90241 | − | 0.985387i | −0.0765260 | − | 0.0396381i | ||||
\(619\) | 14.6861 | − | 6.53867i | 0.590284 | − | 0.262811i | −0.0897832 | − | 0.995961i | \(-0.528617\pi\) |
0.680067 | + | 0.733150i | \(0.261951\pi\) | |||||||
\(620\) | 3.71975 | + | 6.60221i | 0.149389 | + | 0.265151i | ||||
\(621\) | −0.148281 | + | 0.512113i | −0.00595031 | + | 0.0205504i | ||||
\(622\) | −7.95021 | + | 5.77617i | −0.318774 | + | 0.231603i | ||||
\(623\) | −10.8779 | − | 2.31217i | −0.435814 | − | 0.0926352i | ||||
\(624\) | −9.47357 | − | 4.90701i | −0.379246 | − | 0.196438i | ||||
\(625\) | −13.3996 | + | 21.1057i | −0.535986 | + | 0.844227i | ||||
\(626\) | 12.7690 | + | 22.1166i | 0.510354 | + | 0.883958i | ||||
\(627\) | −34.3231 | − | 28.1760i | −1.37073 | − | 1.12524i | ||||
\(628\) | 1.00287 | + | 9.54165i | 0.0400188 | + | 0.380753i | ||||
\(629\) | −0.0946637 | + | 0.0687772i | −0.00377449 | + | 0.00274233i | ||||
\(630\) | −2.60011 | − | 3.76459i | −0.103591 | − | 0.149985i | ||||
\(631\) | 36.4652 | + | 26.4935i | 1.45165 | + | 1.05469i | 0.985441 | + | 0.170017i | \(0.0543823\pi\) |
0.466214 | + | 0.884672i | \(0.345618\pi\) | |||||||
\(632\) | 2.08742 | − | 3.61552i | 0.0830331 | − | 0.143818i | ||||
\(633\) | 25.2507 | − | 38.3198i | 1.00362 | − | 1.52307i | ||||
\(634\) | 30.4391 | − | 6.47004i | 1.20889 | − | 0.256958i | ||||
\(635\) | −12.2439 | − | 2.73743i | −0.485883 | − | 0.108632i | ||||
\(636\) | 7.67631 | − | 2.88797i | 0.304385 | − | 0.114516i | ||||
\(637\) | 16.8083 | + | 18.6675i | 0.665968 | + | 0.739632i | ||||
\(638\) | 17.4600 | − | 53.7363i | 0.691247 | − | 2.12744i | ||||
\(639\) | −7.72018 | + | 10.3327i | −0.305406 | + | 0.408757i | ||||
\(640\) | −0.370792 | − | 0.169783i | −0.0146568 | − | 0.00671126i | ||||
\(641\) | −21.9255 | − | 24.3507i | −0.866005 | − | 0.961796i | 0.133567 | − | 0.991040i | \(-0.457357\pi\) |
−0.999572 | + | 0.0292433i | \(0.990690\pi\) | |||||||
\(642\) | −7.64420 | − | 0.451839i | −0.301692 | − | 0.0178327i | ||||
\(643\) | −1.00181 | − | 1.73519i | −0.0395077 | − | 0.0684294i | 0.845595 | − | 0.533824i | \(-0.179246\pi\) |
−0.885103 | + | 0.465395i | \(0.845912\pi\) | |||||||
\(644\) | 0.00569529 | − | 0.0541870i | 0.000224426 | − | 0.00213527i | ||||
\(645\) | 17.5956 | + | 22.5096i | 0.692826 | + | 0.886313i | ||||
\(646\) | −0.249809 | − | 2.37677i | −0.00982861 | − | 0.0935130i | ||||
\(647\) | 8.36159 | − | 6.07505i | 0.328728 | − | 0.238835i | −0.411163 | − | 0.911562i | \(-0.634877\pi\) |
0.739891 | + | 0.672727i | \(0.234877\pi\) | |||||||
\(648\) | 27.5214 | + | 0.735565i | 1.08114 | + | 0.0288957i | ||||
\(649\) | −37.3997 | −1.46807 | ||||||||
\(650\) | 9.87774 | + | 17.9715i | 0.387437 | + | 0.704902i | ||||
\(651\) | 3.93247 | + | 2.03690i | 0.154126 | + | 0.0798322i | ||||
\(652\) | −2.55824 | + | 2.84121i | −0.100188 | + | 0.111271i | ||||
\(653\) | 11.7357 | + | 5.22507i | 0.459253 | + | 0.204473i | 0.623305 | − | 0.781979i | \(-0.285790\pi\) |
−0.164051 | + | 0.986452i | \(0.552456\pi\) | |||||||
\(654\) | −0.0674331 | + | 0.172222i | −0.00263684 | + | 0.00673440i | ||||
\(655\) | 9.86009 | + | 7.32347i | 0.385266 | + | 0.286152i | ||||
\(656\) | 10.2505 | + | 7.44740i | 0.400214 | + | 0.290772i | ||||
\(657\) | −26.6454 | − | 37.7241i | −1.03954 | − | 1.47176i | ||||
\(658\) | 5.84516 | + | 4.24676i | 0.227868 | + | 0.165556i | ||||
\(659\) | 3.17399 | + | 3.52507i | 0.123641 | + | 0.137317i | 0.801787 | − | 0.597610i | \(-0.203883\pi\) |
−0.678146 | + | 0.734927i | \(0.737216\pi\) | |||||||
\(660\) | 14.3829 | − | 8.99249i | 0.559852 | − | 0.350032i | ||||
\(661\) | 2.71132 | − | 3.01122i | 0.105458 | − | 0.117123i | −0.688105 | − | 0.725611i | \(-0.741557\pi\) |
0.793563 | + | 0.608488i | \(0.208224\pi\) | |||||||
\(662\) | 25.7147 | − | 5.46584i | 0.999432 | − | 0.212436i | ||||
\(663\) | −2.87078 | − | 0.789814i | −0.111492 | − | 0.0306738i | ||||
\(664\) | 6.40098 | + | 1.36057i | 0.248406 | + | 0.0528003i | ||||
\(665\) | 0.799241 | − | 6.90479i | 0.0309932 | − | 0.267756i | ||||
\(666\) | −0.185062 | + | 0.816829i | −0.00717099 | + | 0.0316515i | ||||
\(667\) | −0.833768 | − | 0.605768i | −0.0322836 | − | 0.0234554i | ||||
\(668\) | 6.28049 | − | 10.8781i | 0.242999 | − | 0.420887i | ||||
\(669\) | −6.80829 | − | 0.402429i | −0.263224 | − | 0.0155588i | ||||
\(670\) | 5.55674 | + | 6.30348i | 0.214676 | + | 0.243525i | ||||
\(671\) | −21.9895 | − | 9.79036i | −0.848896 | − | 0.377953i | ||||
\(672\) | −4.74157 | + | 0.718555i | −0.182910 | + | 0.0277189i | ||||
\(673\) | 49.3370 | + | 10.4869i | 1.90180 | + | 0.404240i | 0.999632 | − | 0.0271429i | \(-0.00864092\pi\) |
0.902169 | + | 0.431383i | \(0.141974\pi\) | |||||||
\(674\) | −1.39886 | −0.0538822 | ||||||||
\(675\) | −21.1898 | − | 15.0330i | −0.815596 | − | 0.578621i | ||||
\(676\) | −1.24871 | −0.0480274 | ||||||||
\(677\) | 33.9900 | + | 7.22480i | 1.30634 | + | 0.277672i | 0.807935 | − | 0.589272i | \(-0.200585\pi\) |
0.498407 | + | 0.866943i | \(0.333919\pi\) | |||||||
\(678\) | 24.5335 | − | 3.71789i | 0.942202 | − | 0.142785i | ||||
\(679\) | 3.52552 | + | 1.56966i | 0.135297 | + | 0.0602380i | ||||
\(680\) | 3.01473 | + | 0.674022i | 0.115610 | + | 0.0258475i | ||||
\(681\) | 41.7674 | + | 2.46882i | 1.60053 | + | 0.0946053i | ||||
\(682\) | 11.3617 | − | 19.6790i | 0.435062 | − | 0.753549i | ||||
\(683\) | −33.1970 | − | 24.1191i | −1.27025 | − | 0.922890i | −0.271037 | − | 0.962569i | \(-0.587367\pi\) |
−0.999213 | + | 0.0396784i | \(0.987367\pi\) | |||||||
\(684\) | 9.07422 | + | 8.39268i | 0.346962 | + | 0.320902i | ||||
\(685\) | 21.8046 | − | 4.39551i | 0.833111 | − | 0.167944i | ||||
\(686\) | −9.07254 | − | 1.92843i | −0.346391 | − | 0.0736278i | ||||
\(687\) | −25.2891 | − | 6.95759i | −0.964840 | − | 0.265449i | ||||
\(688\) | −11.6770 | + | 2.48203i | −0.445182 | + | 0.0946263i | ||||
\(689\) | −14.3756 | + | 15.9657i | −0.547665 | + | 0.608243i | ||||
\(690\) | 0.103694 | + | 0.415446i | 0.00394758 | + | 0.0158157i | ||||
\(691\) | −14.7552 | − | 16.3873i | −0.561315 | − | 0.623403i | 0.393958 | − | 0.919128i | \(-0.371105\pi\) |
−0.955273 | + | 0.295725i | \(0.904439\pi\) | |||||||
\(692\) | 2.42543 | + | 1.76218i | 0.0922009 | + | 0.0669879i | ||||
\(693\) | 4.15271 | − | 9.00151i | 0.157748 | − | 0.341939i | ||||
\(694\) | −15.0708 | − | 10.9496i | −0.572079 | − | 0.415640i | ||||
\(695\) | 2.87959 | + | 9.19030i | 0.109229 | + | 0.348608i | ||||
\(696\) | −19.4034 | + | 49.5556i | −0.735484 | + | 1.87840i | ||||
\(697\) | 3.23025 | + | 1.43820i | 0.122355 | + | 0.0544758i | ||||
\(698\) | −20.9579 | + | 23.2761i | −0.793269 | + | 0.881014i | ||||
\(699\) | 19.6381 | + | 10.1719i | 0.742782 | + | 0.384738i | ||||
\(700\) | 2.40232 | + | 1.13072i | 0.0907993 | + | 0.0427373i | ||||
\(701\) | 0.897737 | 0.0339071 | 0.0169535 | − | 0.999856i | \(-0.494603\pi\) | ||||
0.0169535 | + | 0.999856i | \(0.494603\pi\) | |||||||
\(702\) | −19.1790 | + | 9.29286i | −0.723863 | + | 0.350736i | ||||
\(703\) | −1.02941 | + | 0.747907i | −0.0388247 | + | 0.0282078i | ||||
\(704\) | 4.33825 | + | 41.2757i | 0.163504 | + | 1.55564i | ||||
\(705\) | 39.4413 | + | 11.2988i | 1.48544 | + | 0.425536i | ||||
\(706\) | 2.10386 | − | 20.0169i | 0.0791800 | − | 0.753347i | ||||
\(707\) | −1.25539 | − | 2.17439i | −0.0472137 | − | 0.0817765i | ||||
\(708\) | 10.3918 | + | 0.614249i | 0.390550 | + | 0.0230849i | ||||
\(709\) | 27.7781 | + | 30.8507i | 1.04323 | + | 1.15862i | 0.987085 | + | 0.160199i | \(0.0512137\pi\) |
0.0561432 | + | 0.998423i | \(0.482120\pi\) | |||||||
\(710\) | −1.19113 | + | 10.2904i | −0.0447024 | + | 0.386193i | ||||
\(711\) | −1.61518 | − | 3.76223i | −0.0605738 | − | 0.141095i | ||||
\(712\) | 16.6083 | − | 51.1152i | 0.622424 | − | 1.91562i | ||||
\(713\) | −0.277339 | − | 0.308016i | −0.0103864 | − | 0.0115353i | ||||
\(714\) | 0.499337 | − | 0.187860i | 0.0186872 | − | 0.00703049i | ||||
\(715\) | −22.6202 | + | 38.2446i | −0.845949 | + | 1.43027i | ||||
\(716\) | 17.8783 | − | 3.80016i | 0.668145 | − | 0.142019i | ||||
\(717\) | −12.2230 | + | 18.5494i | −0.456478 | + | 0.692739i | ||||
\(718\) | −2.07347 | + | 3.59136i | −0.0773813 | + | 0.134028i | ||||
\(719\) | 34.2388 | + | 24.8759i | 1.27689 | + | 0.927716i | 0.999454 | − | 0.0330279i | \(-0.0105150\pi\) |
0.277437 | + | 0.960744i | \(0.410515\pi\) | |||||||
\(720\) | 9.52824 | − | 5.20183i | 0.355097 | − | 0.193861i | ||||
\(721\) | 0.587847 | − | 0.427096i | 0.0218926 | − | 0.0159059i | ||||
\(722\) | −0.576508 | − | 5.48510i | −0.0214554 | − | 0.204134i | ||||
\(723\) | 37.0056 | + | 30.3780i | 1.37625 | + | 1.12977i | ||||
\(724\) | −7.55762 | − | 13.0902i | −0.280877 | − | 0.486493i | ||||
\(725\) | 41.2422 | − | 28.6583i | 1.53170 | − | 1.06434i | ||||
\(726\) | −26.9360 | − | 13.9520i | −0.999687 | − | 0.517807i | ||||
\(727\) | −10.7038 | − | 2.27517i | −0.396983 | − | 0.0843814i | 0.00509419 | − | 0.999987i | \(-0.498378\pi\) |
−0.402078 | + | 0.915606i | \(0.631712\pi\) | |||||||
\(728\) | 5.96255 | − | 4.33205i | 0.220987 | − | 0.160556i | ||||
\(729\) | 16.7327 | − | 21.1900i | 0.619731 | − | 0.784815i | ||||
\(730\) | −33.7257 | − | 15.4428i | −1.24824 | − | 0.571562i | ||||
\(731\) | −3.04353 | + | 1.35507i | −0.112569 | + | 0.0501190i | ||||
\(732\) | 5.94918 | + | 3.08149i | 0.219888 | + | 0.113895i | ||||
\(733\) | −0.132815 | + | 1.26365i | −0.00490562 | + | 0.0466738i | −0.996701 | − | 0.0811628i | \(-0.974137\pi\) |
0.991795 | + | 0.127837i | \(0.0408033\pi\) | |||||||
\(734\) | −24.4120 | + | 5.18894i | −0.901065 | + | 0.191527i | ||||
\(735\) | −25.3095 | + | 3.56358i | −0.933557 | + | 0.131445i | ||||
\(736\) | 0.439018 | + | 0.0933161i | 0.0161824 | + | 0.00343968i | ||||
\(737\) | −5.62629 | + | 17.3159i | −0.207247 | + | 0.637841i | ||||
\(738\) | 24.1730 | − | 7.49875i | 0.889820 | − | 0.276033i | ||||
\(739\) | 5.82472 | + | 17.9267i | 0.214266 | + | 0.659443i | 0.999205 | + | 0.0398696i | \(0.0126943\pi\) |
−0.784939 | + | 0.619573i | \(0.787306\pi\) | |||||||
\(740\) | −0.145324 | − | 0.463807i | −0.00534223 | − | 0.0170499i | ||||
\(741\) | −31.2178 | − | 8.58871i | −1.14682 | − | 0.315514i | ||||
\(742\) | 0.402387 | − | 3.82846i | 0.0147721 | − | 0.140547i | ||||
\(743\) | 0.560250 | + | 0.970382i | 0.0205536 | + | 0.0355999i | 0.876119 | − | 0.482094i | \(-0.160124\pi\) |
−0.855566 | + | 0.517694i | \(0.826790\pi\) | |||||||
\(744\) | −11.7766 | + | 17.8719i | −0.431752 | + | 0.655216i | ||||
\(745\) | 0.174100 | + | 0.00183143i | 0.00637853 | + | 6.70982e-5i | ||||
\(746\) | 14.4225 | − | 10.4786i | 0.528046 | − | 0.383648i | ||||
\(747\) | 4.82623 | − | 4.23018i | 0.176583 | − | 0.154774i | ||||
\(748\) | 0.611228 | + | 1.88116i | 0.0223487 | + | 0.0687822i | ||||
\(749\) | 1.29853 | − | 2.24913i | 0.0474474 | − | 0.0821813i | ||||
\(750\) | −20.7805 | − | 1.88782i | −0.758798 | − | 0.0689336i | ||||
\(751\) | 6.69286 | + | 11.5924i | 0.244226 | + | 0.423012i | 0.961914 | − | 0.273353i | \(-0.0881328\pi\) |
−0.717688 | + | 0.696365i | \(0.754799\pi\) | |||||||
\(752\) | −11.4708 | + | 12.7397i | −0.418298 | + | 0.464567i | ||||
\(753\) | −4.94893 | + | 0.749981i | −0.180349 | + | 0.0273308i | ||||
\(754\) | −4.30619 | − | 40.9706i | −0.156822 | − | 1.49206i | ||||
\(755\) | −18.8726 | − | 33.4971i | −0.686843 | − | 1.21908i | ||||
\(756\) | −1.30171 | + | 2.43295i | −0.0473426 | + | 0.0884854i | ||||
\(757\) | 14.0336 | 0.510062 | 0.255031 | − | 0.966933i | \(-0.417914\pi\) | ||||
0.255031 | + | 0.966933i | \(0.417914\pi\) | |||||||
\(758\) | 23.0829 | − | 10.2772i | 0.838409 | − | 0.373284i | ||||
\(759\) | −0.660400 | + | 0.651635i | −0.0239710 | + | 0.0236529i | ||||
\(760\) | 32.7832 | + | 7.32954i | 1.18917 | + | 0.265870i | ||||
\(761\) | 8.86063 | − | 9.84073i | 0.321198 | − | 0.356726i | −0.560824 | − | 0.827935i | \(-0.689516\pi\) |
0.882022 | + | 0.471209i | \(0.156182\pi\) | |||||||
\(762\) | −2.64261 | − | 10.1326i | −0.0957318 | − | 0.367067i | ||||
\(763\) | −0.0419726 | − | 0.0466153i | −0.00151951 | − | 0.00168759i | ||||
\(764\) | −2.64762 | − | 8.14854i | −0.0957875 | − | 0.294804i | ||||
\(765\) | 2.29916 | − | 1.97283i | 0.0831262 | − | 0.0713279i | ||||
\(766\) | −7.25052 | + | 22.3148i | −0.261972 | + | 0.806267i | ||||
\(767\) | −24.9113 | + | 11.0912i | −0.899494 | + | 0.400480i | ||||
\(768\) | −1.27310 | − | 27.8508i | −0.0459392 | − | 1.00498i | ||||
\(769\) | −1.19628 | + | 11.3819i | −0.0431390 | + | 0.410440i | 0.951548 | + | 0.307499i | \(0.0994920\pi\) |
−0.994687 | + | 0.102941i | \(0.967175\pi\) | |||||||
\(770\) | −0.748888 | − | 7.92639i | −0.0269881 | − | 0.285647i | ||||
\(771\) | 6.49125 | + | 8.12643i | 0.233777 | + | 0.292666i | ||||
\(772\) | 1.11484 | + | 10.6070i | 0.0401241 | + | 0.381756i | ||||
\(773\) | −9.74410 | − | 29.9892i | −0.350471 | − | 1.07864i | −0.958589 | − | 0.284792i | \(-0.908075\pi\) |
0.608119 | − | 0.793846i | \(-0.291925\pi\) | |||||||
\(774\) | −9.98938 | + | 21.6532i | −0.359061 | + | 0.778309i | ||||
\(775\) | 18.6203 | − | 7.82520i | 0.668862 | − | 0.281090i | ||||
\(776\) | −9.32535 | + | 16.1520i | −0.334761 | + | 0.579823i | ||||
\(777\) | −0.219549 | − | 0.180229i | −0.00787628 | − | 0.00646568i | ||||
\(778\) | −1.07341 | − | 0.477915i | −0.0384838 | − | 0.0171341i | ||||
\(779\) | 35.1269 | + | 15.6395i | 1.25855 | + | 0.560343i | ||||
\(780\) | 6.91335 | − | 10.2551i | 0.247538 | − | 0.367191i | ||||
\(781\) | −20.5048 | + | 9.12933i | −0.733720 | + | 0.326673i | ||||
\(782\) | −0.0499303 | −0.00178550 | ||||||||
\(783\) | 27.5429 | + | 44.3327i | 0.984303 | + | 1.58432i | ||||
\(784\) | 3.30017 | − | 10.1569i | 0.117863 | − | 0.362745i | ||||
\(785\) | 25.5703 | + | 0.268984i | 0.912642 | + | 0.00960044i | ||||
\(786\) | −1.67127 | + | 10.1142i | −0.0596121 | + | 0.360761i | ||||
\(787\) | 33.4612 | − | 7.11239i | 1.19276 | − | 0.253529i | 0.431584 | − | 0.902073i | \(-0.357955\pi\) |
0.761178 | + | 0.648543i | \(0.224622\pi\) | |||||||
\(788\) | −5.55136 | + | 1.17998i | −0.197759 | + | 0.0420350i | ||||
\(789\) | 18.3429 | + | 15.0578i | 0.653025 | + | 0.536072i | ||||
\(790\) | −2.63979 | − | 1.96067i | −0.0939195 | − | 0.0697576i | ||||
\(791\) | −2.60055 | + | 8.00367i | −0.0924649 | + | 0.284578i | ||||
\(792\) | 41.1668 | + | 24.5067i | 1.46280 | + | 0.870809i | ||||
\(793\) | −17.5502 | −0.623226 | ||||||||
\(794\) | 18.8195 | − | 8.37899i | 0.667880 | − | 0.297359i | ||||
\(795\) | −5.29378 | − | 21.2092i | −0.187751 | − | 0.752214i | ||||
\(796\) | −5.43849 | − | 2.42137i | −0.192762 | − | 0.0858232i | ||||
\(797\) | −34.2521 | − | 15.2500i | −1.21327 | − | 0.540183i | −0.302522 | − | 0.953142i | \(-0.597829\pi\) |
−0.910750 | + | 0.412959i | \(0.864495\pi\) | |||||||
\(798\) | 5.42996 | − | 2.04285i | 0.192219 | − | 0.0723163i | ||||
\(799\) | −2.39207 | + | 4.14319i | −0.0846255 | + | 0.146576i | ||||
\(800\) | −11.3319 | + | 18.7072i | −0.400642 | + | 0.661398i | ||||
\(801\) | −30.4089 | − | 43.0523i | −1.07445 | − | 1.52118i | ||||
\(802\) | −0.310796 | − | 0.956533i | −0.0109746 | − | 0.0337764i | ||||
\(803\) | −8.40100 | − | 79.9302i | −0.296465 | − | 2.82068i | ||||
\(804\) | 1.84771 | − | 4.71898i | 0.0651637 | − | 0.166426i | ||||
\(805\) | −0.141723 | − | 0.0316858i | −0.00499507 | − | 0.00111678i | ||||
\(806\) | 1.73183 | − | 16.4772i | 0.0610011 | − | 0.580386i | ||||
\(807\) | −25.3814 | − | 13.1468i | −0.893469 | − | 0.462789i | ||||
\(808\) | 11.0851 | − | 4.93541i | 0.389973 | − | 0.173627i | ||||
\(809\) | −2.07744 | + | 6.39370i | −0.0730388 | + | 0.224790i | −0.980911 | − | 0.194456i | \(-0.937706\pi\) |
0.907872 | + | 0.419247i | \(0.137706\pi\) | |||||||
\(810\) | 3.06802 | − | 21.4666i | 0.107799 | − | 0.754258i | ||||
\(811\) | −0.0417238 | − | 0.128413i | −0.00146512 | − | 0.00450918i | 0.950321 | − | 0.311271i | \(-0.100755\pi\) |
−0.951786 | + | 0.306762i | \(0.900755\pi\) | |||||||
\(812\) | −3.56901 | − | 3.96378i | −0.125248 | − | 0.139102i | ||||
\(813\) | −7.16688 | + | 7.07176i | −0.251353 | + | 0.248018i | ||||
\(814\) | −0.975223 | + | 1.08309i | −0.0341815 | + | 0.0379625i | ||||
\(815\) | 6.73851 | + | 7.64407i | 0.236040 | + | 0.267760i | ||||
\(816\) | 0.319453 | + | 1.22489i | 0.0111831 | + | 0.0428796i | ||||
\(817\) | −33.0964 | + | 14.7355i | −1.15790 | + | 0.515529i | ||||
\(818\) | −24.6150 | −0.860644 | ||||||||
\(819\) | 0.0965643 | − | 7.22726i | 0.00337423 | − | 0.252541i | ||||
\(820\) | −9.94226 | + | 10.8111i | −0.347199 | + | 0.377540i | ||||
\(821\) | −0.235317 | − | 2.23889i | −0.00821263 | − | 0.0781380i | 0.989648 | − | 0.143517i | \(-0.0458411\pi\) |
−0.997861 | + | 0.0653788i | \(0.979174\pi\) | |||||||
\(822\) | 11.5868 | + | 14.5056i | 0.404136 | + | 0.505940i | ||||
\(823\) | −37.4208 | + | 41.5600i | −1.30441 | + | 1.44869i | −0.486111 | + | 0.873897i | \(0.661585\pi\) |
−0.818297 | + | 0.574795i | \(0.805082\pi\) | |||||||
\(824\) | 1.75582 | + | 3.04117i | 0.0611668 | + | 0.105944i | ||||
\(825\) | −19.4011 | − | 40.8367i | −0.675458 | − | 1.42175i | ||||
\(826\) | 2.44304 | − | 4.23148i | 0.0850044 | − | 0.147232i | ||||
\(827\) | −9.90533 | − | 30.4855i | −0.344442 | − | 1.06008i | −0.961882 | − | 0.273466i | \(-0.911830\pi\) |
0.617440 | − | 0.786618i | \(-0.288170\pi\) | |||||||
\(828\) | 0.194200 | − | 0.170216i | 0.00674893 | − | 0.00591543i | ||||
\(829\) | −27.9759 | + | 20.3257i | −0.971642 | + | 0.705939i | −0.955825 | − | 0.293936i | \(-0.905035\pi\) |
−0.0158167 | + | 0.999875i | \(0.505035\pi\) | |||||||
\(830\) | 1.64424 | − | 4.88500i | 0.0570724 | − | 0.169561i | ||||
\(831\) | −38.8148 | − | 2.29429i | −1.34647 | − | 0.0795882i | ||||
\(832\) | 15.1303 | + | 26.2064i | 0.524548 | + | 0.908544i | ||||
\(833\) | 0.311536 | − | 2.96407i | 0.0107941 | − | 0.102699i | ||||
\(834\) | −5.72182 | + | 5.64588i | −0.198130 | + | 0.195501i | ||||
\(835\) | −26.8767 | − | 19.9623i | −0.930106 | − | 0.690825i | ||||
\(836\) | 6.64670 | + | 20.4564i | 0.229881 | + | 0.707500i | ||||
\(837\) | 7.12800 | + | 19.7428i | 0.246380 | + | 0.682411i | ||||
\(838\) | −3.53490 | + | 10.8793i | −0.122111 | + | 0.375820i | ||||
\(839\) | −29.9381 | − | 6.36354i | −1.03358 | − | 0.219694i | −0.340264 | − | 0.940330i | \(-0.610517\pi\) |
−0.693314 | + | 0.720636i | \(0.743850\pi\) | |||||||
\(840\) | 0.263619 | + | 7.49447i | 0.00909574 | + | 0.258584i | ||||
\(841\) | −70.3179 | + | 14.9465i | −2.42476 | + | 0.515398i | ||||
\(842\) | −2.07068 | + | 19.7012i | −0.0713604 | + | 0.678949i | ||||
\(843\) | −33.7512 | + | 21.5991i | −1.16245 | + | 0.743913i | ||||
\(844\) | −20.3064 | + | 9.04100i | −0.698976 | + | 0.311204i | ||||
\(845\) | −0.382693 | + | 3.30615i | −0.0131650 | + | 0.113735i | ||||
\(846\) | 6.67151 | + | 33.5874i | 0.229371 | + | 1.15476i | ||||
\(847\) | 8.32326 | − | 6.04720i | 0.285991 | − | 0.207784i | ||||
\(848\) | 8.93427 | + | 1.89904i | 0.306804 | + | 0.0652133i | ||||
\(849\) | 1.48147 | + | 32.4092i | 0.0508441 | + | 1.11228i | ||||
\(850\) | 0.800397 | − | 2.29773i | 0.0274534 | − | 0.0788115i | ||||
\(851\) | 0.0132920 | + | 0.0230224i | 0.000455643 | + | 0.000789197i | ||||
\(852\) | 5.84738 | − | 2.19990i | 0.200328 | − | 0.0753672i | ||||
\(853\) | −2.79308 | − | 26.5744i | −0.0956333 | − | 0.909890i | −0.932180 | − | 0.361995i | \(-0.882096\pi\) |
0.836547 | − | 0.547895i | \(-0.184571\pi\) | |||||||
\(854\) | 2.54411 | − | 1.84840i | 0.0870576 | − | 0.0632511i | ||||
\(855\) | 25.0018 | − | 21.4533i | 0.855045 | − | 0.733686i | ||||
\(856\) | 10.1541 | + | 7.37742i | 0.347062 | + | 0.252155i | ||||
\(857\) | −14.7634 | + | 25.5710i | −0.504309 | + | 0.873488i | 0.495679 | + | 0.868506i | \(0.334919\pi\) |
−0.999988 | + | 0.00498242i | \(0.998414\pi\) | |||||||
\(858\) | −37.0215 | − | 2.18829i | −1.26389 | − | 0.0747071i | ||||
\(859\) | −5.22423 | + | 1.11044i | −0.178248 | + | 0.0378879i | −0.296171 | − | 0.955135i | \(-0.595710\pi\) |
0.117923 | + | 0.993023i | \(0.462377\pi\) | |||||||
\(860\) | −1.30169 | − | 13.7773i | −0.0443872 | − | 0.469803i | ||||
\(861\) | −1.39939 | + | 8.46888i | −0.0476912 | + | 0.288619i | ||||
\(862\) | 5.31654 | + | 5.90462i | 0.181082 | + | 0.201112i | ||||
\(863\) | −9.94721 | + | 30.6144i | −0.338607 | + | 1.04212i | 0.626311 | + | 0.779573i | \(0.284564\pi\) |
−0.964918 | + | 0.262552i | \(0.915436\pi\) | |||||||
\(864\) | −18.8108 | − | 12.7590i | −0.639957 | − | 0.434070i | ||||
\(865\) | 5.40894 | − | 5.88163i | 0.183910 | − | 0.199981i | ||||
\(866\) | −3.79893 | − | 4.21914i | −0.129093 | − | 0.143372i | ||||
\(867\) | −13.0339 | − | 26.0084i | −0.442653 | − | 0.883293i | ||||
\(868\) | −1.07255 | − | 1.85772i | −0.0364048 | − | 0.0630550i | ||||
\(869\) | 0.744740 | − | 7.08573i | 0.0252636 | − | 0.240367i | ||||
\(870\) | 37.0158 | + | 19.6696i | 1.25495 | + | 0.666861i | ||||
\(871\) | 1.38762 | + | 13.2023i | 0.0470178 | + | 0.447344i | ||||
\(872\) | 0.245254 | − | 0.178187i | 0.00830533 | − | 0.00603418i | ||||
\(873\) | 7.21565 | + | 16.8074i | 0.244213 | + | 0.568844i | ||||
\(874\) | −0.542959 | −0.0183659 | ||||||||
\(875\) | 3.73000 | − | 6.01397i | 0.126097 | − | 0.203309i | ||||
\(876\) | 1.02153 | + | 22.3473i | 0.0345142 | + | 0.755045i | ||||
\(877\) | 21.6828 | − | 24.0811i | 0.732175 | − | 0.813163i | −0.255970 | − | 0.966685i | \(-0.582395\pi\) |
0.988145 | + | 0.153522i | \(0.0490616\pi\) | |||||||
\(878\) | −33.2702 | − | 14.8128i | −1.12281 | − | 0.499909i | ||||
\(879\) | −15.8243 | − | 19.8105i | −0.533741 | − | 0.668193i | ||||
\(880\) | 18.8898 | + | 0.198709i | 0.636774 | + | 0.00669848i | ||||
\(881\) | 26.9732 | + | 19.5972i | 0.908750 | + | 0.660246i | 0.940699 | − | 0.339244i | \(-0.110171\pi\) |
−0.0319481 | + | 0.999490i | \(0.510171\pi\) | |||||||
\(882\) | −12.3074 | − | 17.4246i | −0.414413 | − | 0.586717i | ||||
\(883\) | 8.26440 | + | 6.00444i | 0.278119 | + | 0.202066i | 0.718097 | − | 0.695943i | \(-0.245014\pi\) |
−0.439977 | + | 0.898009i | \(0.645014\pi\) | |||||||
\(884\) | 0.965002 | + | 1.07174i | 0.0324565 | + | 0.0360466i | ||||
\(885\) | 4.81110 | − | 27.3257i | 0.161723 | − | 0.918544i | ||||
\(886\) | −16.6846 | + | 18.5301i | −0.560529 | + | 0.622531i | ||||
\(887\) | −35.8545 | + | 7.62112i | −1.20388 | + | 0.255892i | −0.765820 | − | 0.643055i | \(-0.777667\pi\) |
−0.438058 | + | 0.898947i | \(0.644333\pi\) | |||||||
\(888\) | 0.977156 | − | 0.964188i | 0.0327912 | − | 0.0323560i | ||||
\(889\) | 3.47384 | + | 0.738388i | 0.116509 | + | 0.0247647i | ||||
\(890\) | −38.4892 | − | 17.6239i | −1.29016 | − | 0.590756i | ||||
\(891\) | 43.4179 | − | 17.9568i | 1.45455 | − | 0.601575i | ||||
\(892\) | 2.67256 | + | 1.94173i | 0.0894838 | + | 0.0650138i | ||||
\(893\) | −26.0122 | + | 45.0545i | −0.870466 | + | 1.50769i | ||||
\(894\) | 0.0651073 | + | 0.129919i | 0.00217751 | + | 0.00434512i | ||||
\(895\) | −4.58232 | − | 48.5002i | −0.153170 | − | 1.62118i | ||||
\(896\) | 0.105460 | + | 0.0469539i | 0.00352318 | + | 0.00156862i | ||||
\(897\) | −0.246632 | + | 0.629889i | −0.00823481 | + | 0.0210314i | ||||
\(898\) | −20.8087 | − | 4.42302i | −0.694394 | − | 0.147598i | ||||
\(899\) | −40.5747 | −1.35324 | ||||||||
\(900\) | 4.72006 | + | 11.6655i | 0.157335 | + | 0.388849i | ||||
\(901\) | 2.54903 | 0.0849206 | ||||||||
\(902\) | 43.0803 | + | 9.15699i | 1.43442 | + | 0.304895i | ||||
\(903\) | −5.04755 | − | 6.31906i | −0.167972 | − | 0.210285i | ||||
\(904\) | −37.1549 | − | 16.5424i | −1.23575 | − | 0.550193i | ||||
\(905\) | −36.9744 | + | 15.9982i | −1.22907 | + | 0.531798i | ||||
\(906\) | 17.6570 | − | 26.7957i | 0.586613 | − | 0.890229i | ||||
\(907\) | −10.3737 | + | 17.9678i | −0.344454 | + | 0.596612i | −0.985254 | − | 0.171095i | \(-0.945269\pi\) |
0.640800 | + | 0.767708i | \(0.278603\pi\) | |||||||
\(908\) | −16.3956 | − | 11.9121i | −0.544106 | − | 0.395316i | ||||
\(909\) | 2.62945 | − | 11.6059i | 0.0872132 | − | 0.384943i | ||||
\(910\) | −2.84946 | − | 5.05753i | −0.0944586 | − | 0.167655i | ||||
\(911\) | 55.5454 | + | 11.8065i | 1.84030 | + | 0.391168i | 0.990678 | − | 0.136222i | \(-0.0434960\pi\) |
0.849623 | + | 0.527390i | \(0.176829\pi\) | |||||||
\(912\) | 3.47384 | + | 13.3198i | 0.115030 | + | 0.441064i | ||||
\(913\) | 10.9239 | − | 2.32194i | 0.361527 | − | 0.0768450i | ||||
\(914\) | 1.08854 | − | 1.20895i | 0.0360058 | − | 0.0399885i | ||||
\(915\) | 9.98195 | − | 14.8070i | 0.329993 | − | 0.489503i | ||||
\(916\) | 8.50085 | + | 9.44116i | 0.280876 | + | 0.311945i | ||||
\(917\) | −2.81276 | − | 2.04359i | −0.0928854 | − | 0.0674852i | ||||
\(918\) | 2.34202 | + | 0.953293i | 0.0772981 | + | 0.0314634i | ||||
\(919\) | 6.57695 | + | 4.77844i | 0.216954 | + | 0.157626i | 0.690954 | − | 0.722898i | \(-0.257191\pi\) |
−0.474001 | + | 0.880524i | \(0.657191\pi\) | |||||||
\(920\) | 0.223888 | − | 0.665165i | 0.00738136 | − | 0.0219299i | ||||
\(921\) | 58.1136 | − | 8.80676i | 1.91491 | − | 0.290193i | ||||
\(922\) | 0.978042 | + | 0.435453i | 0.0322101 | + | 0.0143409i | ||||
\(923\) | −10.9505 | + | 12.1618i | −0.360440 | + | 0.400309i | ||||
\(924\) | −4.04437 | + | 2.58820i | −0.133050 | + | 0.0851455i | ||||
\(925\) | −1.27253 | + | 0.242625i | −0.0418407 | + | 0.00797746i | ||||
\(926\) | 20.6074 | 0.677200 | ||||||||
\(927\) | 3.41989 | + | 0.405709i | 0.112324 | + | 0.0133252i | ||||
\(928\) | 35.5460 | − | 25.8257i | 1.16685 | − | 0.847769i | ||||
\(929\) | 4.04198 | + | 38.4568i | 0.132613 | + | 1.26173i | 0.835127 | + | 0.550058i | \(0.185394\pi\) |
−0.702514 | + | 0.711670i | \(0.747939\pi\) | |||||||
\(930\) | 12.9167 | + | 10.8328i | 0.423556 | + | 0.355222i | ||||
\(931\) | 3.38775 | − | 32.2323i | 0.111029 | − | 1.05637i | ||||
\(932\) | −5.35616 | − | 9.27714i | −0.175447 | − | 0.303883i | ||||
\(933\) | 8.69159 | − | 13.1901i | 0.284550 | − | 0.431826i | ||||
\(934\) | 7.00794 | + | 7.78311i | 0.229307 | + | 0.254671i | ||||
\(935\) | 5.16799 | − | 1.04180i | 0.169011 | − | 0.0340704i | ||||
\(936\) | 34.6881 | + | 4.11512i | 1.13382 | + | 0.134507i | ||||
\(937\) | 7.87414 | − | 24.2341i | 0.257237 | − | 0.791694i | −0.736144 | − | 0.676825i | \(-0.763355\pi\) |
0.993381 | − | 0.114869i | \(-0.0366447\pi\) | |||||||
\(938\) | −1.59163 | − | 1.76769i | −0.0519687 | − | 0.0577171i | ||||
\(939\) | −31.7293 | − | 26.0467i | −1.03545 | − | 0.850003i | ||||
\(940\) | −13.1412 | − | 14.9072i | −0.428618 | − | 0.486218i | ||||
\(941\) | −10.7042 | + | 2.27524i | −0.348946 | + | 0.0741707i | −0.379050 | − | 0.925376i | \(-0.623749\pi\) |
0.0301046 | + | 0.999547i | \(0.490416\pi\) | |||||||
\(942\) | 9.56239 | + | 19.0813i | 0.311560 | + | 0.621702i | ||||
\(943\) | 0.401671 | − | 0.695714i | 0.0130802 | − | 0.0226556i | ||||
\(944\) | 9.37918 | + | 6.81437i | 0.305266 | + | 0.221789i | ||||
\(945\) | 6.04265 | + | 4.19208i | 0.196568 | + | 0.136368i | ||||
\(946\) | −33.5716 | + | 24.3912i | −1.09151 | + | 0.793027i | ||||
\(947\) | 5.13830 | + | 48.8876i | 0.166972 | + | 1.58863i | 0.681929 | + | 0.731418i | \(0.261141\pi\) |
−0.514957 | + | 0.857216i | \(0.672192\pi\) | |||||||
\(948\) | −0.323308 | + | 1.95660i | −0.0105005 | + | 0.0635474i | ||||
\(949\) | −29.2997 | − | 50.7486i | −0.951109 | − | 1.64737i | ||||
\(950\) | 8.70379 | − | 24.9863i | 0.282388 | − | 0.810663i | ||||
\(951\) | −42.1332 | + | 26.9632i | −1.36626 | + | 0.874341i | ||||
\(952\) | −0.855343 | − | 0.181809i | −0.0277218 | − | 0.00589246i | ||||
\(953\) | 13.3275 | − | 9.68303i | 0.431721 | − | 0.313664i | −0.350615 | − | 0.936520i | \(-0.614028\pi\) |
0.782337 | + | 0.622856i | \(0.214028\pi\) | |||||||
\(954\) | 13.7208 | − | 12.0262i | 0.444226 | − | 0.389364i | ||||
\(955\) | −22.3859 | + | 4.51269i | −0.724390 | + | 0.146027i | ||||
\(956\) | 9.82969 | − | 4.37646i | 0.317915 | − | 0.141545i | ||||
\(957\) | 4.14733 | + | 90.7283i | 0.134064 | + | 2.93283i | ||||
\(958\) | 1.74113 | − | 16.5657i | 0.0562533 | − | 0.535214i | ||||
\(959\) | −6.15882 | + | 1.30910i | −0.198879 | + | 0.0422730i | ||||
\(960\) | −30.7157 | − | 2.14001i | −0.991345 | − | 0.0690684i | ||||
\(961\) | 14.3612 | + | 3.05256i | 0.463263 | + | 0.0984696i | ||||
\(962\) | −0.328377 | + | 1.01064i | −0.0105873 | + | 0.0325843i | ||||
\(963\) | 11.7564 | − | 3.64696i | 0.378843 | − | 0.117522i | ||||
\(964\) | −7.16615 | − | 22.0551i | −0.230806 | − | 0.710348i | ||||
\(965\) | 28.4254 | + | 0.299018i | 0.915045 | + | 0.00962572i | ||||
\(966\) | −0.0305883 | − | 0.117285i | −0.000984161 | − | 0.00377359i | ||||
\(967\) | 4.19529 | − | 39.9155i | 0.134911 | − | 1.28360i | −0.692260 | − | 0.721648i | \(-0.743385\pi\) |
0.827172 | − | 0.561949i | \(-0.189948\pi\) | |||||||
\(968\) | 24.8604 | + | 43.0595i | 0.799045 | + | 1.38399i | ||||
\(969\) | 1.72113 | + | 3.43443i | 0.0552907 | + | 0.110330i | ||||
\(970\) | 11.7930 | + | 8.75912i | 0.378651 | + | 0.281238i | ||||
\(971\) | −1.48662 | + | 1.08010i | −0.0477080 | + | 0.0346619i | −0.611384 | − | 0.791334i | \(-0.709387\pi\) |
0.563676 | + | 0.825996i | \(0.309387\pi\) | |||||||
\(972\) | −12.3590 | + | 4.27636i | −0.396414 | + | 0.137164i | ||||
\(973\) | −0.842449 | − | 2.59279i | −0.0270077 | − | 0.0831211i | ||||
\(974\) | −7.73651 | + | 13.4000i | −0.247894 | + | 0.429364i | ||||
\(975\) | −25.0331 | − | 21.4470i | −0.801702 | − | 0.686854i | ||||
\(976\) | 3.73073 | + | 6.46181i | 0.119418 | + | 0.206838i | ||||
\(977\) | −38.7931 | + | 43.0841i | −1.24110 | + | 1.37838i | −0.342559 | + | 0.939496i | \(0.611294\pi\) |
−0.898542 | + | 0.438887i | \(0.855373\pi\) | |||||||
\(978\) | −3.10095 | + | 7.91972i | −0.0991575 | + | 0.253245i | ||||
\(979\) | −9.58758 | − | 91.2197i | −0.306420 | − | 2.91540i | ||||
\(980\) | 11.2561 | + | 5.15409i | 0.359563 | + | 0.164641i | ||||
\(981\) | 0.00397191 | − | 0.297274i | 0.000126813 | − | 0.00949123i | ||||
\(982\) | −4.04328 | −0.129026 | ||||||||
\(983\) | 17.6257 | − | 7.84748i | 0.562173 | − | 0.250296i | −0.105918 | − | 0.994375i | \(-0.533778\pi\) |
0.668092 | + | 0.744079i | \(0.267111\pi\) | |||||||
\(984\) | −39.9976 | − | 11.0042i | −1.27508 | − | 0.350802i | ||||
\(985\) | 1.42284 | + | 15.0597i | 0.0453356 | + | 0.479841i | ||||
\(986\) | −3.27063 | + | 3.63240i | −0.104158 | + | 0.115679i | ||||
\(987\) | −11.1977 | − | 3.08074i | −0.356427 | − | 0.0980609i | ||||
\(988\) | 10.4938 | + | 11.6545i | 0.333851 | + | 0.370779i | ||||
\(989\) | 0.233896 | + | 0.719859i | 0.00743748 | + | 0.0228902i | ||||
\(990\) | 22.9028 | − | 29.9901i | 0.727898 | − | 0.953147i | ||||
\(991\) | 12.9369 | − | 39.8158i | 0.410956 | − | 1.26479i | −0.504863 | − | 0.863199i | \(-0.668457\pi\) |
0.915819 | − | 0.401592i | \(-0.131543\pi\) | |||||||
\(992\) | 16.1427 | − | 7.18718i | 0.512530 | − | 0.228193i | ||||
\(993\) | −35.5938 | + | 22.7783i | −1.12953 | + | 0.722847i | ||||
\(994\) | 0.306516 | − | 2.91630i | 0.00972210 | − | 0.0924996i | ||||
\(995\) | −8.07767 | + | 13.6571i | −0.256079 | + | 0.432960i | ||||
\(996\) | −3.07343 | + | 0.465759i | −0.0973853 | + | 0.0147581i | ||||
\(997\) | −3.62146 | − | 34.4559i | −0.114693 | − | 1.09123i | −0.888838 | − | 0.458221i | \(-0.848487\pi\) |
0.774146 | − | 0.633008i | \(-0.218180\pi\) | |||||||
\(998\) | 0.827501 | + | 2.54679i | 0.0261941 | + | 0.0806172i | ||||
\(999\) | −0.183916 | − | 1.33366i | −0.00581885 | − | 0.0421951i |
(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 | 225.2.q.a.106.10 | yes | 224 | |
3.2 | odd | 2 | 675.2.r.a.181.19 | 224 | |||
9.4 | even | 3 | inner | 225.2.q.a.31.19 | ✓ | 224 | |
9.5 | odd | 6 | 675.2.r.a.631.10 | 224 | |||
25.21 | even | 5 | inner | 225.2.q.a.196.19 | yes | 224 | |
75.71 | odd | 10 | 675.2.r.a.46.10 | 224 | |||
225.121 | even | 15 | inner | 225.2.q.a.121.10 | yes | 224 | |
225.221 | odd | 30 | 675.2.r.a.496.19 | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.31.19 | ✓ | 224 | 9.4 | even | 3 | inner | |
225.2.q.a.106.10 | yes | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.121.10 | yes | 224 | 225.121 | even | 15 | inner | |
225.2.q.a.196.19 | yes | 224 | 25.21 | even | 5 | inner | |
675.2.r.a.46.10 | 224 | 75.71 | odd | 10 | |||
675.2.r.a.181.19 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.496.19 | 224 | 225.221 | odd | 30 | |||
675.2.r.a.631.10 | 224 | 9.5 | odd | 6 |