Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(16,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bl (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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 16.4 | ||
Character | \(\chi\) | \(=\) | 403.16 |
Dual form | 403.2.bl.b.126.4 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.07437 | − | 0.923570i | −1.46680 | − | 0.653062i | −0.490889 | − | 0.871222i | \(-0.663328\pi\) |
−0.975913 | + | 0.218160i | \(0.929995\pi\) | |||||||
\(3\) | 0.0811184 | − | 0.771790i | 0.0468337 | − | 0.445593i | −0.945828 | − | 0.324668i | \(-0.894747\pi\) |
0.992662 | − | 0.120925i | \(-0.0385860\pi\) | |||||||
\(4\) | 2.11178 | + | 2.34536i | 1.05589 | + | 1.17268i | ||||
\(5\) | 2.89709 | 1.29562 | 0.647810 | − | 0.761802i | \(-0.275685\pi\) | ||||
0.647810 | + | 0.761802i | \(0.275685\pi\) | |||||||
\(6\) | −0.881072 | + | 1.52606i | −0.359696 | + | 0.623012i | ||||
\(7\) | −1.22242 | − | 1.35763i | −0.462030 | − | 0.513137i | 0.466435 | − | 0.884555i | \(-0.345538\pi\) |
−0.928465 | + | 0.371419i | \(0.878871\pi\) | |||||||
\(8\) | −0.811140 | − | 2.49643i | −0.286781 | − | 0.882622i | ||||
\(9\) | 2.34536 | + | 0.498522i | 0.781788 | + | 0.166174i | ||||
\(10\) | −6.00965 | − | 2.67567i | −1.90042 | − | 0.846121i | ||||
\(11\) | −0.592020 | + | 0.125838i | −0.178501 | + | 0.0379415i | −0.296295 | − | 0.955097i | \(-0.595751\pi\) |
0.117794 | + | 0.993038i | \(0.462418\pi\) | |||||||
\(12\) | 1.98143 | − | 1.43960i | 0.571990 | − | 0.415575i | ||||
\(13\) | 2.79216 | + | 2.28119i | 0.774406 | + | 0.632689i | ||||
\(14\) | 1.28188 | + | 3.94522i | 0.342597 | + | 1.05440i | ||||
\(15\) | 0.235008 | − | 2.23595i | 0.0606787 | − | 0.577320i | ||||
\(16\) | 0.0367597 | − | 0.349745i | 0.00918992 | − | 0.0874362i | ||||
\(17\) | 3.62886 | + | 0.771338i | 0.880128 | + | 0.187077i | 0.625746 | − | 0.780027i | \(-0.284795\pi\) |
0.254382 | + | 0.967104i | \(0.418128\pi\) | |||||||
\(18\) | −4.40473 | − | 3.20023i | −1.03821 | − | 0.754301i | ||||
\(19\) | 0.537735 | + | 5.11621i | 0.123365 | + | 1.17374i | 0.864588 | + | 0.502481i | \(0.167579\pi\) |
−0.741224 | + | 0.671258i | \(0.765754\pi\) | |||||||
\(20\) | 6.11801 | + | 6.79474i | 1.36803 | + | 1.51935i | ||||
\(21\) | −1.14697 | + | 0.833321i | −0.250289 | + | 0.181845i | ||||
\(22\) | 1.34429 | + | 0.285737i | 0.286603 | + | 0.0609194i | ||||
\(23\) | −4.24104 | + | 4.71015i | −0.884318 | + | 0.982135i | −0.999938 | − | 0.0111585i | \(-0.996448\pi\) |
0.115619 | + | 0.993294i | \(0.463115\pi\) | |||||||
\(24\) | −1.99252 | + | 0.423523i | −0.406722 | + | 0.0864514i | ||||
\(25\) | 3.39315 | 0.678630 | ||||||||
\(26\) | −3.68513 | − | 7.31080i | −0.722714 | − | 1.43377i | ||||
\(27\) | 1.29444 | − | 3.98387i | 0.249114 | − | 0.766696i | ||||
\(28\) | 0.602670 | − | 5.73403i | 0.113894 | − | 1.08363i | ||||
\(29\) | 8.09087 | + | 3.60229i | 1.50244 | + | 0.668928i | 0.982667 | − | 0.185378i | \(-0.0593508\pi\) |
0.519770 | + | 0.854306i | \(0.326017\pi\) | |||||||
\(30\) | −2.55255 | + | 4.42114i | −0.466029 | + | 0.807187i | ||||
\(31\) | 3.60608 | − | 4.24219i | 0.647671 | − | 0.761920i | ||||
\(32\) | −3.02417 | + | 5.23802i | −0.534603 | + | 0.925960i | ||||
\(33\) | 0.0490966 | + | 0.467123i | 0.00854662 | + | 0.0813157i | ||||
\(34\) | −6.81522 | − | 4.95155i | −1.16880 | − | 0.849184i | ||||
\(35\) | −3.54146 | − | 3.93319i | −0.598616 | − | 0.664830i | ||||
\(36\) | 3.78366 | + | 6.55350i | 0.630610 | + | 1.09225i | ||||
\(37\) | −5.91946 | − | 10.2528i | −0.973153 | − | 1.68555i | −0.685900 | − | 0.727696i | \(-0.740591\pi\) |
−0.287253 | − | 0.957855i | \(-0.592742\pi\) | |||||||
\(38\) | 3.60971 | − | 11.1096i | 0.585573 | − | 1.80221i | ||||
\(39\) | 1.98710 | − | 1.96991i | 0.318191 | − | 0.315439i | ||||
\(40\) | −2.34995 | − | 7.23240i | −0.371560 | − | 1.14354i | ||||
\(41\) | −0.274572 | − | 0.122247i | −0.0428809 | − | 0.0190918i | 0.385184 | − | 0.922840i | \(-0.374138\pi\) |
−0.428065 | + | 0.903748i | \(0.640805\pi\) | |||||||
\(42\) | 3.14887 | − | 0.669312i | 0.485881 | − | 0.103277i | ||||
\(43\) | −0.976975 | − | 9.29529i | −0.148987 | − | 1.41752i | −0.772157 | − | 0.635432i | \(-0.780822\pi\) |
0.623170 | − | 0.782087i | \(-0.285845\pi\) | |||||||
\(44\) | −1.54535 | − | 1.12276i | −0.232970 | − | 0.169263i | ||||
\(45\) | 6.79474 | + | 1.44427i | 1.01290 | + | 0.215298i | ||||
\(46\) | 13.1477 | − | 5.85371i | 1.93852 | − | 0.863083i | ||||
\(47\) | −2.48042 | − | 1.80213i | −0.361806 | − | 0.262868i | 0.391999 | − | 0.919966i | \(-0.371784\pi\) |
−0.753805 | + | 0.657098i | \(0.771784\pi\) | |||||||
\(48\) | −0.266948 | − | 0.0567415i | −0.0385306 | − | 0.00818993i | ||||
\(49\) | 0.382839 | − | 3.64247i | 0.0546913 | − | 0.520353i | ||||
\(50\) | −7.03866 | − | 3.13381i | −0.995417 | − | 0.443188i | ||||
\(51\) | 0.889679 | − | 2.73815i | 0.124580 | − | 0.383418i | ||||
\(52\) | 0.546181 | + | 11.3660i | 0.0757417 | + | 1.57618i | ||||
\(53\) | −0.363210 | − | 1.11785i | −0.0498907 | − | 0.153548i | 0.923007 | − | 0.384782i | \(-0.125724\pi\) |
−0.972898 | + | 0.231235i | \(0.925724\pi\) | |||||||
\(54\) | −6.36452 | + | 7.06852i | −0.866102 | + | 0.961903i | ||||
\(55\) | −1.71514 | + | 0.364564i | −0.231269 | + | 0.0491577i | ||||
\(56\) | −2.39769 | + | 4.15291i | −0.320404 | + | 0.554956i | ||||
\(57\) | 3.99226 | 0.528788 | ||||||||
\(58\) | −13.4565 | − | 14.9450i | −1.76693 | − | 1.96237i | ||||
\(59\) | −7.63379 | + | 3.39878i | −0.993835 | + | 0.442484i | −0.838219 | − | 0.545334i | \(-0.816403\pi\) |
−0.155616 | + | 0.987818i | \(0.549736\pi\) | |||||||
\(60\) | 5.74040 | − | 4.17064i | 0.741082 | − | 0.538428i | ||||
\(61\) | −0.326351 | + | 0.565257i | −0.0417850 | + | 0.0723737i | −0.886162 | − | 0.463376i | \(-0.846638\pi\) |
0.844377 | + | 0.535750i | \(0.179971\pi\) | |||||||
\(62\) | −11.3983 | + | 5.46941i | −1.44759 | + | 0.694616i | ||||
\(63\) | −2.19020 | − | 3.79354i | −0.275940 | − | 0.477941i | ||||
\(64\) | 10.5419 | − | 7.65915i | 1.31774 | − | 0.957394i | ||||
\(65\) | 8.08915 | + | 6.60883i | 1.00334 | + | 0.819725i | ||||
\(66\) | 0.329576 | − | 1.01433i | 0.0405680 | − | 0.124855i | ||||
\(67\) | 3.15571 | + | 5.46584i | 0.385531 | + | 0.667759i | 0.991843 | − | 0.127468i | \(-0.0406850\pi\) |
−0.606312 | + | 0.795227i | \(0.707352\pi\) | |||||||
\(68\) | 5.85427 | + | 10.1399i | 0.709935 | + | 1.22964i | ||||
\(69\) | 3.29123 | + | 3.65528i | 0.396217 | + | 0.440043i | ||||
\(70\) | 3.71373 | + | 11.4297i | 0.443875 | + | 1.36611i | ||||
\(71\) | −1.51228 | − | 0.321445i | −0.179474 | − | 0.0381485i | 0.117298 | − | 0.993097i | \(-0.462577\pi\) |
−0.296772 | + | 0.954948i | \(0.595910\pi\) | |||||||
\(72\) | −0.657891 | − | 6.25941i | −0.0775332 | − | 0.737679i | ||||
\(73\) | 2.72661 | − | 8.39165i | 0.319126 | − | 0.982169i | −0.654897 | − | 0.755718i | \(-0.727288\pi\) |
0.974023 | − | 0.226450i | \(-0.0727121\pi\) | |||||||
\(74\) | 2.80998 | + | 26.7352i | 0.326653 | + | 3.10790i | ||||
\(75\) | 0.275247 | − | 2.61880i | 0.0317828 | − | 0.302393i | ||||
\(76\) | −10.8638 | + | 12.0655i | −1.24616 | + | 1.38400i | ||||
\(77\) | 0.894537 | + | 0.649919i | 0.101942 | + | 0.0740651i | ||||
\(78\) | −5.94134 | + | 2.25111i | −0.672724 | + | 0.254888i | ||||
\(79\) | 4.97581 | + | 15.3140i | 0.559823 | + | 1.72296i | 0.682854 | + | 0.730554i | \(0.260738\pi\) |
−0.123032 | + | 0.992403i | \(0.539262\pi\) | |||||||
\(80\) | 0.106496 | − | 1.01324i | 0.0119066 | − | 0.113284i | ||||
\(81\) | 3.60168 | + | 1.60357i | 0.400187 | + | 0.178175i | ||||
\(82\) | 0.456660 | + | 0.507172i | 0.0504296 | + | 0.0560078i | ||||
\(83\) | −1.27928 | + | 0.929449i | −0.140419 | + | 0.102020i | −0.655777 | − | 0.754955i | \(-0.727659\pi\) |
0.515358 | + | 0.856975i | \(0.327659\pi\) | |||||||
\(84\) | −4.37658 | − | 0.930270i | −0.477524 | − | 0.101501i | ||||
\(85\) | 10.5132 | + | 2.23464i | 1.14031 | + | 0.242381i | ||||
\(86\) | −6.55824 | + | 20.1842i | −0.707193 | + | 2.17652i | ||||
\(87\) | 3.43653 | − | 5.95225i | 0.368435 | − | 0.638148i | ||||
\(88\) | 0.794357 | + | 1.37587i | 0.0846787 | + | 0.146668i | ||||
\(89\) | −2.91894 | + | 0.620439i | −0.309407 | + | 0.0657664i | −0.359998 | − | 0.932953i | \(-0.617223\pi\) |
0.0505916 | + | 0.998719i | \(0.483889\pi\) | |||||||
\(90\) | −12.7609 | − | 9.27136i | −1.34512 | − | 0.977287i | ||||
\(91\) | −0.316161 | − | 6.57930i | −0.0331427 | − | 0.689698i | ||||
\(92\) | −20.0032 | −2.08547 | ||||||||
\(93\) | −2.98156 | − | 3.12726i | −0.309174 | − | 0.324282i | ||||
\(94\) | 3.48092 | + | 6.02913i | 0.359029 | + | 0.621857i | ||||
\(95\) | 1.55787 | + | 14.8221i | 0.159834 | + | 1.52072i | ||||
\(96\) | 3.79734 | + | 2.75893i | 0.387564 | + | 0.281582i | ||||
\(97\) | −11.1056 | − | 12.3340i | −1.12760 | − | 1.25233i | −0.964028 | − | 0.265801i | \(-0.914364\pi\) |
−0.163577 | − | 0.986531i | \(-0.552303\pi\) | |||||||
\(98\) | −4.15822 | + | 7.20225i | −0.420044 | + | 0.727538i | ||||
\(99\) | −1.45123 | −0.145855 | ||||||||
\(100\) | 7.16557 | + | 7.95818i | 0.716557 | + | 0.795818i | ||||
\(101\) | −6.83338 | + | 7.58924i | −0.679947 | + | 0.755158i | −0.980050 | − | 0.198749i | \(-0.936312\pi\) |
0.300103 | + | 0.953907i | \(0.402979\pi\) | |||||||
\(102\) | −4.37440 | + | 4.85826i | −0.433130 | + | 0.481040i | ||||
\(103\) | 10.7734 | − | 7.82737i | 1.06154 | − | 0.771253i | 0.0871667 | − | 0.996194i | \(-0.472219\pi\) |
0.974373 | + | 0.224940i | \(0.0722187\pi\) | |||||||
\(104\) | 3.43002 | − | 8.82081i | 0.336341 | − | 0.864951i | ||||
\(105\) | −3.32287 | + | 2.41421i | −0.324279 | + | 0.235603i | ||||
\(106\) | −0.278976 | + | 2.65428i | −0.0270965 | + | 0.257806i | ||||
\(107\) | 0.167756 | − | 0.186312i | 0.0162176 | − | 0.0180114i | −0.734981 | − | 0.678087i | \(-0.762809\pi\) |
0.751199 | + | 0.660076i | \(0.229476\pi\) | |||||||
\(108\) | 12.0772 | − | 5.37711i | 1.16213 | − | 0.517412i | ||||
\(109\) | −4.34601 | − | 3.15756i | −0.416272 | − | 0.302439i | 0.359864 | − | 0.933005i | \(-0.382823\pi\) |
−0.776136 | + | 0.630566i | \(0.782823\pi\) | |||||||
\(110\) | 3.89453 | + | 0.827808i | 0.371329 | + | 0.0789284i | ||||
\(111\) | −8.39319 | + | 3.73689i | −0.796646 | + | 0.354690i | ||||
\(112\) | −0.519760 | + | 0.377628i | −0.0491127 | + | 0.0356825i | ||||
\(113\) | 10.9662 | + | 12.1792i | 1.03161 | + | 1.14572i | 0.989192 | + | 0.146624i | \(0.0468406\pi\) |
0.0424217 | + | 0.999100i | \(0.486493\pi\) | |||||||
\(114\) | −8.28143 | − | 3.68713i | −0.775627 | − | 0.345331i | ||||
\(115\) | −12.2867 | + | 13.6458i | −1.14574 | + | 1.27247i | ||||
\(116\) | 8.63743 | + | 26.5833i | 0.801965 | + | 2.46819i | ||||
\(117\) | 5.41140 | + | 6.74218i | 0.500284 | + | 0.623315i | ||||
\(118\) | 18.9743 | 1.74673 | ||||||||
\(119\) | −3.38879 | − | 5.86956i | −0.310650 | − | 0.538061i | ||||
\(120\) | −5.77252 | + | 1.22699i | −0.526957 | + | 0.112008i | ||||
\(121\) | −9.71435 | + | 4.32511i | −0.883123 | + | 0.393191i | ||||
\(122\) | 1.19903 | − | 0.871144i | 0.108555 | − | 0.0788697i | ||||
\(123\) | −0.116622 | + | 0.201995i | −0.0105154 | + | 0.0182133i | ||||
\(124\) | 17.5647 | − | 0.500977i | 1.57736 | − | 0.0449891i | ||||
\(125\) | −4.65519 | −0.416373 | ||||||||
\(126\) | 1.03969 | + | 9.89202i | 0.0926232 | + | 0.881251i | ||||
\(127\) | 0.167379 | − | 1.59250i | 0.0148525 | − | 0.141312i | −0.984583 | − | 0.174920i | \(-0.944033\pi\) |
0.999435 | + | 0.0336084i | \(0.0106999\pi\) | |||||||
\(128\) | −17.1093 | + | 3.63669i | −1.51226 | + | 0.321441i | ||||
\(129\) | −7.25327 | −0.638615 | ||||||||
\(130\) | −10.6762 | − | 21.1801i | −0.936363 | − | 1.85761i | ||||
\(131\) | 2.42031 | − | 7.44894i | 0.211463 | − | 0.650817i | −0.787923 | − | 0.615774i | \(-0.788843\pi\) |
0.999386 | − | 0.0350425i | \(-0.0111567\pi\) | |||||||
\(132\) | −0.991892 | + | 1.10161i | −0.0863331 | + | 0.0958827i | ||||
\(133\) | 6.28859 | − | 6.98419i | 0.545290 | − | 0.605606i | ||||
\(134\) | −1.49802 | − | 14.2527i | −0.129409 | − | 1.23125i | ||||
\(135\) | 3.75010 | − | 11.5416i | 0.322758 | − | 0.993346i | ||||
\(136\) | −1.01792 | − | 9.68487i | −0.0872860 | − | 0.830471i | ||||
\(137\) | −7.58216 | + | 3.37579i | −0.647787 | + | 0.288413i | −0.704208 | − | 0.709994i | \(-0.748698\pi\) |
0.0564209 | + | 0.998407i | \(0.482031\pi\) | |||||||
\(138\) | −3.45132 | − | 10.6221i | −0.293796 | − | 0.904211i | ||||
\(139\) | −3.64111 | + | 1.62113i | −0.308835 | + | 0.137502i | −0.555301 | − | 0.831649i | \(-0.687397\pi\) |
0.246467 | + | 0.969151i | \(0.420730\pi\) | |||||||
\(140\) | 1.74599 | − | 16.6120i | 0.147563 | − | 1.40397i | ||||
\(141\) | −1.59207 | + | 1.76818i | −0.134077 | + | 0.148907i | ||||
\(142\) | 2.84015 | + | 2.06349i | 0.238340 | + | 0.173164i | ||||
\(143\) | −1.94007 | − | 0.999153i | −0.162237 | − | 0.0835534i | ||||
\(144\) | 0.260570 | − | 0.801953i | 0.0217142 | − | 0.0668294i | ||||
\(145\) | 23.4400 | + | 10.4362i | 1.94659 | + | 0.866677i | ||||
\(146\) | −13.4063 | + | 14.8892i | −1.10951 | + | 1.23224i | ||||
\(147\) | −2.78017 | − | 0.590943i | −0.229304 | − | 0.0487401i | ||||
\(148\) | 11.5460 | − | 35.5349i | 0.949074 | − | 2.92095i | ||||
\(149\) | 8.66804 | − | 15.0135i | 0.710114 | − | 1.22995i | −0.254700 | − | 0.967020i | \(-0.581977\pi\) |
0.964814 | − | 0.262933i | \(-0.0846898\pi\) | |||||||
\(150\) | −2.98961 | + | 5.17816i | −0.244101 | + | 0.422795i | ||||
\(151\) | −2.02106 | + | 6.22020i | −0.164472 | + | 0.506192i | −0.998997 | − | 0.0447775i | \(-0.985742\pi\) |
0.834525 | + | 0.550970i | \(0.185742\pi\) | |||||||
\(152\) | 12.3361 | − | 5.49238i | 1.00059 | − | 0.445491i | ||||
\(153\) | 8.12647 | + | 3.61814i | 0.656986 | + | 0.292509i | ||||
\(154\) | −1.25536 | − | 2.17434i | −0.101159 | − | 0.175213i | ||||
\(155\) | 10.4472 | − | 12.2900i | 0.839136 | − | 0.987158i | ||||
\(156\) | 8.81647 | + | 0.500454i | 0.705883 | + | 0.0400684i | ||||
\(157\) | −12.2997 | + | 8.93623i | −0.981620 | + | 0.713189i | −0.958070 | − | 0.286534i | \(-0.907497\pi\) |
−0.0235499 | + | 0.999723i | \(0.507497\pi\) | |||||||
\(158\) | 3.82184 | − | 36.3624i | 0.304049 | − | 2.89284i | ||||
\(159\) | −0.892205 | + | 0.189644i | −0.0707565 | + | 0.0150398i | ||||
\(160\) | −8.76131 | + | 15.1750i | −0.692642 | + | 1.19969i | ||||
\(161\) | 11.5790 | 0.912551 | ||||||||
\(162\) | −5.99021 | − | 6.65280i | −0.470636 | − | 0.522694i | ||||
\(163\) | −14.8209 | − | 3.15027i | −1.16086 | − | 0.246748i | −0.413079 | − | 0.910695i | \(-0.635547\pi\) |
−0.747780 | + | 0.663947i | \(0.768880\pi\) | |||||||
\(164\) | −0.293119 | − | 0.902129i | −0.0228888 | − | 0.0704444i | ||||
\(165\) | 0.142237 | + | 1.35330i | 0.0110732 | + | 0.105354i | ||||
\(166\) | 3.51211 | − | 0.746522i | 0.272592 | − | 0.0579413i | ||||
\(167\) | 10.0358 | + | 4.46822i | 0.776593 | + | 0.345761i | 0.756463 | − | 0.654036i | \(-0.226926\pi\) |
0.0201294 | + | 0.999797i | \(0.493592\pi\) | |||||||
\(168\) | 3.01068 | + | 2.18739i | 0.232279 | + | 0.168761i | ||||
\(169\) | 2.59231 | + | 12.7389i | 0.199408 | + | 0.979917i | ||||
\(170\) | −19.7443 | − | 14.3451i | −1.51432 | − | 1.10022i | ||||
\(171\) | −1.28936 | + | 12.2674i | −0.0985998 | + | 0.938114i | ||||
\(172\) | 19.7377 | − | 21.9209i | 1.50498 | − | 1.67146i | ||||
\(173\) | −15.9098 | + | 7.08348i | −1.20960 | + | 0.538547i | −0.909637 | − | 0.415404i | \(-0.863640\pi\) |
−0.299960 | + | 0.953952i | \(0.596973\pi\) | |||||||
\(174\) | −12.6260 | + | 9.17329i | −0.957171 | + | 0.695426i | ||||
\(175\) | −4.14785 | − | 4.60665i | −0.313548 | − | 0.348230i | ||||
\(176\) | 0.0222486 | + | 0.211682i | 0.00167705 | + | 0.0159561i | ||||
\(177\) | 2.00391 | + | 6.16739i | 0.150623 | + | 0.463570i | ||||
\(178\) | 6.62797 | + | 1.40882i | 0.496788 | + | 0.105595i | ||||
\(179\) | 12.2140 | − | 2.59617i | 0.912918 | − | 0.194047i | 0.272574 | − | 0.962135i | \(-0.412125\pi\) |
0.640344 | + | 0.768088i | \(0.278792\pi\) | |||||||
\(180\) | 10.9616 | + | 18.9861i | 0.817031 | + | 1.41514i | ||||
\(181\) | −5.30098 | −0.394019 | −0.197010 | − | 0.980402i | \(-0.563123\pi\) | ||||
−0.197010 | + | 0.980402i | \(0.563123\pi\) | |||||||
\(182\) | −5.42060 | + | 13.9399i | −0.401802 | + | 1.03329i | ||||
\(183\) | 0.409786 | + | 0.297727i | 0.0302923 | + | 0.0220086i | ||||
\(184\) | 15.1987 | + | 6.76688i | 1.12046 | + | 0.498861i | ||||
\(185\) | −17.1492 | − | 29.7033i | −1.26084 | − | 2.18383i | ||||
\(186\) | 3.29662 | + | 9.24078i | 0.241720 | + | 0.677567i | ||||
\(187\) | −2.24542 | −0.164201 | ||||||||
\(188\) | −1.01144 | − | 9.62318i | −0.0737666 | − | 0.701842i | ||||
\(189\) | −6.99097 | + | 3.11258i | −0.508518 | + | 0.226407i | ||||
\(190\) | 10.4577 | − | 32.1854i | 0.758680 | − | 2.33498i | ||||
\(191\) | −4.09362 | + | 7.09036i | −0.296204 | + | 0.513041i | −0.975264 | − | 0.221042i | \(-0.929054\pi\) |
0.679060 | + | 0.734083i | \(0.262388\pi\) | |||||||
\(192\) | −5.05611 | − | 8.75745i | −0.364894 | − | 0.632014i | ||||
\(193\) | −2.53505 | + | 0.538842i | −0.182477 | + | 0.0387867i | −0.298244 | − | 0.954490i | \(-0.596401\pi\) |
0.115767 | + | 0.993276i | \(0.463067\pi\) | |||||||
\(194\) | 11.6458 | + | 35.8422i | 0.836122 | + | 2.57332i | ||||
\(195\) | 5.75681 | − | 5.70703i | 0.412254 | − | 0.408689i | ||||
\(196\) | 9.35138 | − | 6.79418i | 0.667956 | − | 0.485298i | ||||
\(197\) | 2.46383 | − | 0.523704i | 0.175541 | − | 0.0373124i | −0.119303 | − | 0.992858i | \(-0.538066\pi\) |
0.294843 | + | 0.955546i | \(0.404733\pi\) | |||||||
\(198\) | 3.01040 | + | 1.34032i | 0.213940 | + | 0.0952521i | ||||
\(199\) | −0.162554 | + | 0.0723737i | −0.0115231 | + | 0.00513043i | −0.412490 | − | 0.910962i | \(-0.635341\pi\) |
0.400967 | + | 0.916093i | \(0.368674\pi\) | |||||||
\(200\) | −2.75232 | − | 8.47078i | −0.194619 | − | 0.598974i | ||||
\(201\) | 4.47447 | − | 1.99216i | 0.315605 | − | 0.140516i | ||||
\(202\) | 21.1842 | − | 9.43180i | 1.49051 | − | 0.663619i | ||||
\(203\) | −4.99984 | − | 15.3879i | −0.350920 | − | 1.08002i | ||||
\(204\) | 8.30076 | − | 3.69574i | 0.581170 | − | 0.258753i | ||||
\(205\) | −0.795460 | − | 0.354161i | −0.0555573 | − | 0.0247357i | ||||
\(206\) | −29.5772 | + | 6.28684i | −2.06074 | + | 0.438025i | ||||
\(207\) | −12.2949 | + | 8.93277i | −0.854555 | + | 0.620870i | ||||
\(208\) | 0.900475 | − | 0.892687i | 0.0624367 | − | 0.0618967i | ||||
\(209\) | −0.962162 | − | 2.96123i | −0.0665541 | − | 0.204833i | ||||
\(210\) | 9.12256 | − | 1.93906i | 0.629517 | − | 0.133808i | ||||
\(211\) | −0.680983 | − | 1.17950i | −0.0468808 | − | 0.0811999i | 0.841633 | − | 0.540050i | \(-0.181595\pi\) |
−0.888514 | + | 0.458850i | \(0.848261\pi\) | |||||||
\(212\) | 1.85474 | − | 3.21250i | 0.127384 | − | 0.220635i | ||||
\(213\) | −0.370761 | + | 1.14109i | −0.0254042 | + | 0.0781860i | ||||
\(214\) | −0.520059 | + | 0.231545i | −0.0355505 | + | 0.0158281i | ||||
\(215\) | −2.83039 | − | 26.9293i | −0.193031 | − | 1.83657i | ||||
\(216\) | −10.9954 | −0.748144 | ||||||||
\(217\) | −10.1675 | + | 0.289994i | −0.690213 | + | 0.0196861i | ||||
\(218\) | 6.09900 | + | 10.5638i | 0.413077 | + | 0.715470i | ||||
\(219\) | −6.25542 | − | 2.78509i | −0.422702 | − | 0.188199i | ||||
\(220\) | −4.47702 | − | 3.25274i | −0.301840 | − | 0.219300i | ||||
\(221\) | 8.37279 | + | 10.4318i | 0.563215 | + | 0.701721i | ||||
\(222\) | 20.8619 | 1.40016 | ||||||||
\(223\) | 7.89554 | + | 13.6755i | 0.528724 | + | 0.915777i | 0.999439 | + | 0.0334918i | \(0.0106628\pi\) |
−0.470715 | + | 0.882285i | \(0.656004\pi\) | |||||||
\(224\) | 10.8081 | − | 2.29733i | 0.722147 | − | 0.153497i | ||||
\(225\) | 7.95817 | + | 1.69156i | 0.530545 | + | 0.112771i | ||||
\(226\) | −11.4996 | − | 35.3923i | −0.764945 | − | 2.35426i | ||||
\(227\) | 2.82045 | + | 26.8348i | 0.187200 | + | 1.78109i | 0.536327 | + | 0.844010i | \(0.319811\pi\) |
−0.349127 | + | 0.937075i | \(0.613522\pi\) | |||||||
\(228\) | 8.43076 | + | 9.36330i | 0.558340 | + | 0.620100i | ||||
\(229\) | −10.5239 | + | 7.64603i | −0.695436 | + | 0.505264i | −0.878443 | − | 0.477848i | \(-0.841417\pi\) |
0.183006 | + | 0.983112i | \(0.441417\pi\) | |||||||
\(230\) | 38.0900 | − | 16.9588i | 2.51158 | − | 1.11823i | ||||
\(231\) | 0.574164 | − | 0.637674i | 0.0377772 | − | 0.0419559i | ||||
\(232\) | 2.43004 | − | 23.1203i | 0.159540 | − | 1.51792i | ||||
\(233\) | −12.0033 | − | 8.72094i | −0.786365 | − | 0.571328i | 0.120517 | − | 0.992711i | \(-0.461545\pi\) |
−0.906883 | + | 0.421383i | \(0.861545\pi\) | |||||||
\(234\) | −4.99838 | − | 18.9836i | −0.326754 | − | 1.24100i | ||||
\(235\) | −7.18601 | − | 5.22094i | −0.468763 | − | 0.340576i | ||||
\(236\) | −24.0922 | − | 10.7266i | −1.56827 | − | 0.698239i | ||||
\(237\) | 12.2228 | − | 2.59804i | 0.793957 | − | 0.168761i | ||||
\(238\) | 1.60866 | + | 15.3054i | 0.104274 | + | 0.992103i | ||||
\(239\) | 1.58133 | + | 4.86684i | 0.102288 | + | 0.314809i | 0.989084 | − | 0.147351i | \(-0.0470746\pi\) |
−0.886797 | + | 0.462160i | \(0.847075\pi\) | |||||||
\(240\) | −0.773373 | − | 0.164385i | −0.0499210 | − | 0.0106110i | ||||
\(241\) | −0.619367 | − | 0.687877i | −0.0398970 | − | 0.0443101i | 0.722866 | − | 0.690988i | \(-0.242824\pi\) |
−0.762763 | + | 0.646678i | \(0.776158\pi\) | |||||||
\(242\) | 24.1457 | 1.55214 | ||||||||
\(243\) | 7.81311 | − | 13.5327i | 0.501211 | − | 0.868124i | ||||
\(244\) | −2.01491 | + | 0.428283i | −0.128992 | + | 0.0274180i | ||||
\(245\) | 1.10912 | − | 10.5526i | 0.0708591 | − | 0.674179i | ||||
\(246\) | 0.428474 | − | 0.311305i | 0.0273185 | − | 0.0198481i | ||||
\(247\) | −10.1696 | + | 15.5119i | −0.647078 | + | 0.987002i | ||||
\(248\) | −13.5154 | − | 5.56133i | −0.858228 | − | 0.353145i | ||||
\(249\) | 0.613567 | + | 1.06273i | 0.0388832 | + | 0.0673477i | ||||
\(250\) | 9.65659 | + | 4.29939i | 0.610736 | + | 0.271917i | ||||
\(251\) | 22.6179 | − | 10.0701i | 1.42763 | − | 0.635622i | 0.459982 | − | 0.887928i | \(-0.347856\pi\) |
0.967647 | + | 0.252306i | \(0.0811891\pi\) | |||||||
\(252\) | 4.27202 | − | 13.1479i | 0.269112 | − | 0.828242i | ||||
\(253\) | 1.91807 | − | 3.32219i | 0.120588 | − | 0.208864i | ||||
\(254\) | −1.81800 | + | 3.14886i | −0.114071 | + | 0.197577i | ||||
\(255\) | 2.57748 | − | 7.93268i | 0.161408 | − | 0.496764i | ||||
\(256\) | 13.3581 | + | 2.83936i | 0.834884 | + | 0.177460i | ||||
\(257\) | 2.53629 | − | 2.81684i | 0.158209 | − | 0.175709i | −0.658829 | − | 0.752293i | \(-0.728948\pi\) |
0.817038 | + | 0.576584i | \(0.195614\pi\) | |||||||
\(258\) | 15.0460 | + | 6.69890i | 0.936721 | + | 0.417055i | ||||
\(259\) | −6.68348 | + | 20.5696i | −0.415291 | + | 1.27814i | ||||
\(260\) | 1.58234 | + | 32.9284i | 0.0981325 | + | 2.04213i | ||||
\(261\) | 17.1802 | + | 12.4822i | 1.06343 | + | 0.772626i | ||||
\(262\) | −11.9002 | + | 13.2165i | −0.735199 | + | 0.816521i | ||||
\(263\) | 1.45218 | − | 13.8165i | 0.0895451 | − | 0.851965i | −0.853900 | − | 0.520437i | \(-0.825769\pi\) |
0.943445 | − | 0.331528i | \(-0.107564\pi\) | |||||||
\(264\) | 1.12632 | − | 0.501469i | 0.0693200 | − | 0.0308633i | ||||
\(265\) | −1.05225 | − | 3.23850i | −0.0646394 | − | 0.198940i | ||||
\(266\) | −19.4953 | + | 8.67985i | −1.19533 | + | 0.532196i | ||||
\(267\) | 0.242069 | + | 2.30313i | 0.0148144 | + | 0.140950i | ||||
\(268\) | −6.15525 | + | 18.9439i | −0.375992 | + | 1.15718i | ||||
\(269\) | −2.18323 | − | 20.7721i | −0.133114 | − | 1.26650i | −0.833415 | − | 0.552648i | \(-0.813618\pi\) |
0.700301 | − | 0.713848i | \(-0.253049\pi\) | |||||||
\(270\) | −18.4386 | + | 20.4782i | −1.12214 | + | 1.24626i | ||||
\(271\) | 2.33202 | − | 2.58997i | 0.141660 | − | 0.157329i | −0.668140 | − | 0.744036i | \(-0.732909\pi\) |
0.809800 | + | 0.586707i | \(0.199576\pi\) | |||||||
\(272\) | 0.403167 | − | 1.24082i | 0.0244456 | − | 0.0752359i | ||||
\(273\) | −5.10348 | − | 0.289692i | −0.308877 | − | 0.0175329i | ||||
\(274\) | 18.8460 | 1.13853 | ||||||||
\(275\) | −2.00881 | + | 0.426986i | −0.121136 | + | 0.0257483i | ||||
\(276\) | −1.62262 | + | 15.4382i | −0.0976705 | + | 0.929273i | ||||
\(277\) | −0.503784 | − | 4.79318i | −0.0302694 | − | 0.287994i | −0.999177 | − | 0.0405703i | \(-0.987083\pi\) |
0.968907 | − | 0.247424i | \(-0.0795841\pi\) | |||||||
\(278\) | 9.05023 | 0.542797 | ||||||||
\(279\) | 10.5724 | − | 8.15176i | 0.632953 | − | 0.488033i | ||||
\(280\) | −6.94632 | + | 12.0314i | −0.415122 | + | 0.719012i | ||||
\(281\) | −15.7167 | + | 11.4189i | −0.937580 | + | 0.681192i | −0.947837 | − | 0.318755i | \(-0.896735\pi\) |
0.0102566 | + | 0.999947i | \(0.496735\pi\) | |||||||
\(282\) | 4.93559 | − | 2.19747i | 0.293910 | − | 0.130857i | ||||
\(283\) | −5.65171 | + | 1.20131i | −0.335959 | + | 0.0714103i | −0.372802 | − | 0.927911i | \(-0.621603\pi\) |
0.0368433 | + | 0.999321i | \(0.488270\pi\) | |||||||
\(284\) | −2.43969 | − | 4.22566i | −0.144769 | − | 0.250747i | ||||
\(285\) | 11.5660 | 0.685108 | ||||||||
\(286\) | 3.10165 | + | 3.86441i | 0.183404 | + | 0.228507i | ||||
\(287\) | 0.169674 | + | 0.522204i | 0.0100156 | + | 0.0308247i | ||||
\(288\) | −9.70405 | + | 10.7774i | −0.571817 | + | 0.635067i | ||||
\(289\) | −2.95660 | − | 1.31636i | −0.173918 | − | 0.0774331i | ||||
\(290\) | −38.9848 | − | 43.2970i | −2.28927 | − | 2.54249i | ||||
\(291\) | −10.4202 | + | 7.57069i | −0.610841 | + | 0.443802i | ||||
\(292\) | 25.4395 | − | 11.3264i | 1.48873 | − | 0.662827i | ||||
\(293\) | 18.3219 | + | 3.89443i | 1.07038 | + | 0.227515i | 0.709218 | − | 0.704990i | \(-0.249048\pi\) |
0.361158 | + | 0.932505i | \(0.382382\pi\) | |||||||
\(294\) | 5.22132 | + | 3.79351i | 0.304514 | + | 0.221242i | ||||
\(295\) | −22.1158 | + | 9.84660i | −1.28763 | + | 0.573291i | ||||
\(296\) | −20.7939 | + | 23.0940i | −1.20862 | + | 1.34231i | ||||
\(297\) | −0.265012 | + | 2.52142i | −0.0153775 | + | 0.146307i | ||||
\(298\) | −31.8467 | + | 23.1380i | −1.84483 | + | 1.34035i | ||||
\(299\) | −22.5864 | + | 3.47686i | −1.30621 | + | 0.201072i | ||||
\(300\) | 6.72330 | − | 4.88477i | 0.388170 | − | 0.282022i | ||||
\(301\) | −11.4253 | + | 12.6891i | −0.658544 | + | 0.731387i | ||||
\(302\) | 9.93722 | − | 11.0364i | 0.571823 | − | 0.635074i | ||||
\(303\) | 5.30299 | + | 5.88957i | 0.304649 | + | 0.338347i | ||||
\(304\) | 1.80913 | 0.103761 | ||||||||
\(305\) | −0.945470 | + | 1.63760i | −0.0541374 | + | 0.0937688i | ||||
\(306\) | −13.5157 | − | 15.0107i | −0.772642 | − | 0.858106i | ||||
\(307\) | 4.08667 | + | 2.96914i | 0.233238 | + | 0.169458i | 0.698266 | − | 0.715839i | \(-0.253955\pi\) |
−0.465027 | + | 0.885296i | \(0.653955\pi\) | |||||||
\(308\) | 0.364764 | + | 3.47050i | 0.0207843 | + | 0.197750i | ||||
\(309\) | −5.16716 | − | 8.94979i | −0.293950 | − | 0.509135i | ||||
\(310\) | −33.0220 | + | 15.8454i | −1.87552 | + | 0.899958i | ||||
\(311\) | −28.7990 | −1.63304 | −0.816520 | − | 0.577316i | \(-0.804100\pi\) | ||||
−0.816520 | + | 0.577316i | \(0.804100\pi\) | |||||||
\(312\) | −6.52958 | − | 3.36278i | −0.369664 | − | 0.190380i | ||||
\(313\) | 2.30252 | + | 1.67288i | 0.130146 | + | 0.0945567i | 0.650954 | − | 0.759117i | \(-0.274369\pi\) |
−0.520808 | + | 0.853674i | \(0.674369\pi\) | |||||||
\(314\) | 33.7673 | − | 7.17746i | 1.90560 | − | 0.405048i | ||||
\(315\) | −6.34522 | − | 10.9902i | −0.357513 | − | 0.619230i | ||||
\(316\) | −25.4091 | + | 44.0098i | −1.42937 | + | 2.47574i | ||||
\(317\) | −4.55916 | + | 14.0317i | −0.256068 | + | 0.788096i | 0.737549 | + | 0.675293i | \(0.235983\pi\) |
−0.993617 | + | 0.112803i | \(0.964017\pi\) | |||||||
\(318\) | 2.02591 | + | 0.430622i | 0.113608 | + | 0.0241481i | ||||
\(319\) | −5.24326 | − | 1.11449i | −0.293566 | − | 0.0623995i | ||||
\(320\) | 30.5409 | − | 22.1893i | 1.70729 | − | 1.24042i | ||||
\(321\) | −0.130185 | − | 0.144586i | −0.00726624 | − | 0.00806998i | ||||
\(322\) | −24.0191 | − | 10.6940i | −1.33853 | − | 0.595953i | ||||
\(323\) | −1.99496 | + | 18.9808i | −0.111003 | + | 1.05612i | ||||
\(324\) | 3.84498 | + | 11.8336i | 0.213610 | + | 0.657424i | ||||
\(325\) | 9.47422 | + | 7.74044i | 0.525535 | + | 0.429362i | ||||
\(326\) | 27.8345 | + | 20.2229i | 1.54161 | + | 1.12004i | ||||
\(327\) | −2.78951 | + | 3.09807i | −0.154260 | + | 0.171324i | ||||
\(328\) | −0.0824657 | + | 0.784609i | −0.00455341 | + | 0.0433228i | ||||
\(329\) | 0.585478 | + | 5.57045i | 0.0322784 | + | 0.307109i | ||||
\(330\) | 0.954813 | − | 2.93861i | 0.0525607 | − | 0.161765i | ||||
\(331\) | −2.08393 | − | 19.8272i | −0.114543 | − | 1.08980i | −0.889230 | − | 0.457460i | \(-0.848759\pi\) |
0.774687 | − | 0.632344i | \(-0.217907\pi\) | |||||||
\(332\) | −4.88144 | − | 1.03758i | −0.267904 | − | 0.0569447i | ||||
\(333\) | −8.77203 | − | 26.9975i | −0.480704 | − | 1.47946i | ||||
\(334\) | −16.6912 | − | 18.5375i | −0.913304 | − | 1.01433i | ||||
\(335\) | 9.14238 | + | 15.8351i | 0.499502 | + | 0.865162i | ||||
\(336\) | 0.249288 | + | 0.431779i | 0.0135997 | + | 0.0235555i | ||||
\(337\) | −6.63557 | + | 20.4222i | −0.361463 | + | 1.11247i | 0.590704 | + | 0.806888i | \(0.298850\pi\) |
−0.952167 | + | 0.305579i | \(0.901150\pi\) | |||||||
\(338\) | 6.38787 | − | 28.8194i | 0.347454 | − | 1.56757i | ||||
\(339\) | 10.2894 | − | 7.47565i | 0.558841 | − | 0.406022i | ||||
\(340\) | 16.9604 | + | 29.3762i | 0.919805 | + | 1.59315i | ||||
\(341\) | −1.60104 | + | 2.96524i | −0.0867014 | + | 0.160577i | ||||
\(342\) | 14.0044 | − | 24.2564i | 0.757274 | − | 1.31164i | ||||
\(343\) | −15.7589 | + | 11.4495i | −0.850902 | + | 0.618216i | ||||
\(344\) | −22.4126 | + | 9.97874i | −1.20841 | + | 0.538017i | ||||
\(345\) | 9.53499 | + | 10.5897i | 0.513346 | + | 0.570129i | ||||
\(346\) | 39.5449 | 2.12594 | ||||||||
\(347\) | −8.20779 | + | 14.2163i | −0.440617 | + | 0.763172i | −0.997735 | − | 0.0672617i | \(-0.978574\pi\) |
0.557118 | + | 0.830433i | \(0.311907\pi\) | |||||||
\(348\) | 21.2174 | − | 4.50989i | 1.13737 | − | 0.241755i | ||||
\(349\) | 2.28220 | − | 2.53464i | 0.122163 | − | 0.135676i | −0.678960 | − | 0.734175i | \(-0.737569\pi\) |
0.801124 | + | 0.598499i | \(0.204236\pi\) | |||||||
\(350\) | 4.34961 | + | 13.3867i | 0.232497 | + | 0.715551i | ||||
\(351\) | 12.7022 | − | 8.17073i | 0.677996 | − | 0.436121i | ||||
\(352\) | 1.13123 | − | 3.48157i | 0.0602947 | − | 0.185568i | ||||
\(353\) | −12.3911 | − | 5.51689i | −0.659514 | − | 0.293635i | 0.0495572 | − | 0.998771i | \(-0.484219\pi\) |
−0.709071 | + | 0.705137i | \(0.750886\pi\) | |||||||
\(354\) | 1.53917 | − | 14.6442i | 0.0818059 | − | 0.778331i | ||||
\(355\) | −4.38121 | − | 0.931255i | −0.232531 | − | 0.0494259i | ||||
\(356\) | −7.61929 | − | 5.53574i | −0.403822 | − | 0.293394i | ||||
\(357\) | −4.80496 | + | 2.13931i | −0.254305 | + | 0.113224i | ||||
\(358\) | −27.7341 | − | 5.89507i | −1.46579 | − | 0.311564i | ||||
\(359\) | −7.09735 | − | 5.15653i | −0.374584 | − | 0.272151i | 0.384525 | − | 0.923114i | \(-0.374365\pi\) |
−0.759109 | + | 0.650963i | \(0.774365\pi\) | |||||||
\(360\) | −1.90597 | − | 18.1341i | −0.100453 | − | 0.955751i | ||||
\(361\) | −7.30163 | + | 1.55201i | −0.384296 | + | 0.0816847i | ||||
\(362\) | 10.9962 | + | 4.89583i | 0.577948 | + | 0.257319i | ||||
\(363\) | 2.55006 | + | 7.84829i | 0.133844 | + | 0.411928i | ||||
\(364\) | 14.7632 | − | 14.6355i | 0.773801 | − | 0.767109i | ||||
\(365\) | 7.89926 | − | 24.3114i | 0.413466 | − | 1.27252i | ||||
\(366\) | −0.575077 | − | 0.996063i | −0.0300598 | − | 0.0520651i | ||||
\(367\) | −15.3444 | − | 26.5773i | −0.800972 | − | 1.38732i | −0.918977 | − | 0.394312i | \(-0.870983\pi\) |
0.118005 | − | 0.993013i | \(-0.462350\pi\) | |||||||
\(368\) | 1.49145 | + | 1.65643i | 0.0777474 | + | 0.0863472i | ||||
\(369\) | −0.583027 | − | 0.423594i | −0.0303512 | − | 0.0220514i | ||||
\(370\) | 8.14077 | + | 77.4542i | 0.423218 | + | 4.02665i | ||||
\(371\) | −1.07363 | + | 1.85958i | −0.0557400 | + | 0.0965445i | ||||
\(372\) | 1.03817 | − | 13.5969i | 0.0538267 | − | 0.704967i | ||||
\(373\) | −13.3518 | + | 23.1260i | −0.691329 | + | 1.19742i | 0.280074 | + | 0.959978i | \(0.409641\pi\) |
−0.971403 | + | 0.237438i | \(0.923692\pi\) | |||||||
\(374\) | 4.65784 | + | 2.07380i | 0.240851 | + | 0.107234i | ||||
\(375\) | −0.377622 | + | 3.59283i | −0.0195003 | + | 0.185533i | ||||
\(376\) | −2.48693 | + | 7.65398i | −0.128254 | + | 0.394724i | ||||
\(377\) | 14.3735 | + | 28.5150i | 0.740272 | + | 1.46860i | ||||
\(378\) | 17.3765 | 0.893753 | ||||||||
\(379\) | 19.0005 | − | 4.03868i | 0.975989 | − | 0.207453i | 0.307806 | − | 0.951449i | \(-0.400405\pi\) |
0.668184 | + | 0.743996i | \(0.267072\pi\) | |||||||
\(380\) | −31.4734 | + | 34.9548i | −1.61455 | + | 1.79314i | ||||
\(381\) | −1.21550 | − | 0.258363i | −0.0622721 | − | 0.0132363i | ||||
\(382\) | 15.0401 | − | 10.9273i | 0.769521 | − | 0.559089i | ||||
\(383\) | −10.8192 | − | 12.0159i | −0.552833 | − | 0.613983i | 0.400355 | − | 0.916360i | \(-0.368887\pi\) |
−0.953189 | + | 0.302376i | \(0.902220\pi\) | |||||||
\(384\) | 1.41888 | + | 13.4998i | 0.0724070 | + | 0.688907i | ||||
\(385\) | 2.59156 | + | 1.88288i | 0.132078 | + | 0.0959602i | ||||
\(386\) | 5.75630 | + | 1.22354i | 0.292988 | + | 0.0622765i | ||||
\(387\) | 2.34255 | − | 22.2879i | 0.119079 | − | 1.13296i | ||||
\(388\) | 5.47524 | − | 52.0934i | 0.277963 | − | 2.64464i | ||||
\(389\) | 2.28442 | + | 7.03072i | 0.115825 | + | 0.356472i | 0.992118 | − | 0.125306i | \(-0.0399912\pi\) |
−0.876293 | + | 0.481778i | \(0.839991\pi\) | |||||||
\(390\) | −17.2126 | + | 6.52168i | −0.871594 | + | 0.330238i | ||||
\(391\) | −19.0233 | + | 13.8212i | −0.962049 | + | 0.698969i | ||||
\(392\) | −9.40371 | + | 1.99882i | −0.474959 | + | 0.100956i | ||||
\(393\) | −5.55269 | − | 2.47222i | −0.280096 | − | 0.124707i | ||||
\(394\) | −5.59458 | − | 1.18917i | −0.281851 | − | 0.0599093i | ||||
\(395\) | 14.4154 | + | 44.3660i | 0.725317 | + | 2.23230i | ||||
\(396\) | −3.06468 | − | 3.40367i | −0.154006 | − | 0.171041i | ||||
\(397\) | −2.15124 | + | 3.72606i | −0.107968 | + | 0.187006i | −0.914947 | − | 0.403574i | \(-0.867768\pi\) |
0.806979 | + | 0.590580i | \(0.201101\pi\) | |||||||
\(398\) | 0.404039 | 0.0202527 | ||||||||
\(399\) | −4.88021 | − | 5.42002i | −0.244316 | − | 0.271340i | ||||
\(400\) | 0.124731 | − | 1.18674i | 0.00623656 | − | 0.0593369i | ||||
\(401\) | 15.9600 | + | 7.10585i | 0.797004 | + | 0.354849i | 0.764501 | − | 0.644622i | \(-0.222985\pi\) |
0.0325033 | + | 0.999472i | \(0.489652\pi\) | |||||||
\(402\) | −11.1216 | −0.554696 | ||||||||
\(403\) | 19.7460 | − | 3.61870i | 0.983619 | − | 0.180260i | ||||
\(404\) | −32.2301 | −1.60351 | ||||||||
\(405\) | 10.4344 | + | 4.64570i | 0.518490 | + | 0.230846i | ||||
\(406\) | −3.84030 | + | 36.5380i | −0.190591 | + | 1.81335i | ||||
\(407\) | 4.79463 | + | 5.32497i | 0.237661 | + | 0.263949i | ||||
\(408\) | −7.55726 | −0.374140 | ||||||||
\(409\) | 12.7685 | − | 22.1156i | 0.631360 | − | 1.09355i | −0.355914 | − | 0.934519i | \(-0.615830\pi\) |
0.987274 | − | 0.159029i | \(-0.0508364\pi\) | |||||||
\(410\) | 1.32299 | + | 1.46932i | 0.0653376 | + | 0.0725648i | ||||
\(411\) | 1.99035 | + | 6.12567i | 0.0981768 | + | 0.302157i | ||||
\(412\) | 41.1091 | + | 8.73801i | 2.02530 | + | 0.430491i | ||||
\(413\) | 13.9460 | + | 6.20915i | 0.686237 | + | 0.305532i | ||||
\(414\) | 33.7542 | − | 7.17468i | 1.65893 | − | 0.352616i | ||||
\(415\) | −3.70619 | + | 2.69270i | −0.181930 | + | 0.132180i | ||||
\(416\) | −20.3929 | + | 7.72666i | −0.999845 | + | 0.378831i | ||||
\(417\) | 0.955808 | + | 2.94167i | 0.0468061 | + | 0.144054i | ||||
\(418\) | −0.739021 | + | 7.03131i | −0.0361467 | + | 0.343913i | ||||
\(419\) | 2.53633 | − | 24.1315i | 0.123908 | − | 1.17890i | −0.739058 | − | 0.673641i | \(-0.764729\pi\) |
0.862966 | − | 0.505262i | \(-0.168604\pi\) | |||||||
\(420\) | −12.6794 | − | 2.69508i | −0.618689 | − | 0.131506i | ||||
\(421\) | 30.9802 | + | 22.5084i | 1.50988 | + | 1.09699i | 0.966229 | + | 0.257684i | \(0.0829595\pi\) |
0.543654 | + | 0.839310i | \(0.317041\pi\) | |||||||
\(422\) | 0.323264 | + | 3.07565i | 0.0157362 | + | 0.149720i | ||||
\(423\) | −4.91908 | − | 5.46319i | −0.239174 | − | 0.265629i | ||||
\(424\) | −2.49601 | + | 1.81346i | −0.121217 | + | 0.0880693i | ||||
\(425\) | 12.3133 | + | 2.61727i | 0.597282 | + | 0.126956i | ||||
\(426\) | 1.82297 | − | 2.02461i | 0.0883232 | − | 0.0980928i | ||||
\(427\) | 1.16635 | − | 0.247915i | 0.0564435 | − | 0.0119974i | ||||
\(428\) | 0.791231 | 0.0382456 | ||||||||
\(429\) | −0.928513 | + | 1.41628i | −0.0448290 | + | 0.0683787i | ||||
\(430\) | −18.9998 | + | 58.4755i | −0.916254 | + | 2.81994i | ||||
\(431\) | 2.94188 | − | 27.9901i | 0.141705 | − | 1.34823i | −0.660338 | − | 0.750968i | \(-0.729587\pi\) |
0.802043 | − | 0.597266i | \(-0.203746\pi\) | |||||||
\(432\) | −1.34575 | − | 0.599168i | −0.0647476 | − | 0.0288275i | ||||
\(433\) | 9.24718 | − | 16.0166i | 0.444391 | − | 0.769708i | −0.553619 | − | 0.832770i | \(-0.686753\pi\) |
0.998010 | + | 0.0630627i | \(0.0200868\pi\) | |||||||
\(434\) | 21.3589 | + | 8.78881i | 1.02526 | + | 0.421876i | ||||
\(435\) | 9.95595 | − | 17.2442i | 0.477351 | − | 0.826797i | ||||
\(436\) | −1.77216 | − | 16.8610i | −0.0848713 | − | 0.807496i | ||||
\(437\) | −26.3787 | − | 19.1652i | −1.26186 | − | 0.916798i | ||||
\(438\) | 10.4038 | + | 11.5546i | 0.497115 | + | 0.552102i | ||||
\(439\) | −7.41529 | − | 12.8437i | −0.353912 | − | 0.612994i | 0.633019 | − | 0.774136i | \(-0.281816\pi\) |
−0.986931 | + | 0.161142i | \(0.948482\pi\) | |||||||
\(440\) | 2.30133 | + | 3.98601i | 0.109711 | + | 0.190026i | ||||
\(441\) | 2.71375 | − | 8.35206i | 0.129226 | − | 0.397717i | ||||
\(442\) | −7.73374 | − | 29.3724i | −0.367857 | − | 1.39710i | ||||
\(443\) | −9.98174 | − | 30.7206i | −0.474247 | − | 1.45958i | −0.846971 | − | 0.531639i | \(-0.821576\pi\) |
0.372725 | − | 0.927942i | \(-0.378424\pi\) | |||||||
\(444\) | −26.4889 | − | 11.7936i | −1.25711 | − | 0.559700i | ||||
\(445\) | −8.45643 | + | 1.79747i | −0.400873 | + | 0.0852082i | ||||
\(446\) | −3.74803 | − | 35.6601i | −0.177474 | − | 1.68855i | ||||
\(447\) | −10.8841 | − | 7.90778i | −0.514802 | − | 0.374025i | ||||
\(448\) | −23.2849 | − | 4.94936i | −1.10011 | − | 0.233835i | ||||
\(449\) | −2.83542 | + | 1.26241i | −0.133812 | + | 0.0595769i | −0.472550 | − | 0.881304i | \(-0.656667\pi\) |
0.338738 | + | 0.940881i | \(0.390000\pi\) | |||||||
\(450\) | −14.9459 | − | 10.8589i | −0.704558 | − | 0.511891i | ||||
\(451\) | 0.177935 | + | 0.0378213i | 0.00837864 | + | 0.00178093i | ||||
\(452\) | −5.40651 | + | 51.4395i | −0.254301 | + | 2.41951i | ||||
\(453\) | 4.63674 | + | 2.06441i | 0.217853 | + | 0.0969945i | ||||
\(454\) | 18.9331 | − | 58.2701i | 0.888575 | − | 2.73475i | ||||
\(455\) | −0.915949 | − | 19.0608i | −0.0429403 | − | 0.893586i | ||||
\(456\) | −3.23828 | − | 9.96641i | −0.151647 | − | 0.466720i | ||||
\(457\) | −0.363867 | + | 0.404115i | −0.0170210 | + | 0.0189037i | −0.751595 | − | 0.659625i | \(-0.770715\pi\) |
0.734574 | + | 0.678528i | \(0.237382\pi\) | |||||||
\(458\) | 28.8920 | − | 6.14119i | 1.35004 | − | 0.286959i | ||||
\(459\) | 7.77024 | − | 13.4585i | 0.362684 | − | 0.628187i | ||||
\(460\) | −57.9510 | −2.70198 | ||||||||
\(461\) | 2.47244 | + | 2.74592i | 0.115153 | + | 0.127890i | 0.797965 | − | 0.602704i | \(-0.205910\pi\) |
−0.682812 | + | 0.730594i | \(0.739243\pi\) | |||||||
\(462\) | −1.77997 | + | 0.792492i | −0.0828116 | + | 0.0368701i | ||||
\(463\) | 21.1976 | − | 15.4010i | 0.985137 | − | 0.715744i | 0.0262863 | − | 0.999654i | \(-0.491632\pi\) |
0.958851 | + | 0.283910i | \(0.0916318\pi\) | |||||||
\(464\) | 1.55730 | − | 2.69732i | 0.0722958 | − | 0.125220i | ||||
\(465\) | −8.63786 | − | 9.05996i | −0.400571 | − | 0.420146i | ||||
\(466\) | 16.8450 | + | 29.1764i | 0.780330 | + | 1.35157i | ||||
\(467\) | 29.3744 | − | 21.3417i | 1.35928 | − | 0.987578i | 0.360794 | − | 0.932645i | \(-0.382506\pi\) |
0.998490 | − | 0.0549327i | \(-0.0174944\pi\) | |||||||
\(468\) | −4.38521 | + | 26.9297i | −0.202706 | + | 1.24482i | ||||
\(469\) | 3.56301 | − | 10.9658i | 0.164525 | − | 0.506355i | ||||
\(470\) | 10.0845 | + | 17.4669i | 0.465165 | + | 0.805690i | ||||
\(471\) | 5.89917 | + | 10.2177i | 0.271819 | + | 0.470805i | ||||
\(472\) | 14.6769 | + | 16.3004i | 0.675560 | + | 0.750285i | ||||
\(473\) | 1.74809 | + | 5.38006i | 0.0803771 | + | 0.247375i | ||||
\(474\) | −27.7541 | − | 5.89932i | −1.27479 | − | 0.270965i | ||||
\(475\) | 1.82462 | + | 17.3601i | 0.0837192 | + | 0.796535i | ||||
\(476\) | 6.60988 | − | 20.3431i | 0.302963 | − | 0.932426i | ||||
\(477\) | −0.294588 | − | 2.80282i | −0.0134883 | − | 0.128332i | ||||
\(478\) | 1.21459 | − | 11.5561i | 0.0555543 | − | 0.528564i | ||||
\(479\) | −0.638801 | + | 0.709460i | −0.0291876 | + | 0.0324161i | −0.757562 | − | 0.652763i | \(-0.773610\pi\) |
0.728374 | + | 0.685179i | \(0.240276\pi\) | |||||||
\(480\) | 11.0012 | + | 7.99287i | 0.502136 | + | 0.364823i | ||||
\(481\) | 6.86057 | − | 42.1309i | 0.312815 | − | 1.92100i | ||||
\(482\) | 0.649495 | + | 1.99894i | 0.0295837 | + | 0.0910493i | ||||
\(483\) | 0.939269 | − | 8.93654i | 0.0427382 | − | 0.406627i | ||||
\(484\) | −30.6585 | − | 13.6500i | −1.39357 | − | 0.620456i | ||||
\(485\) | −32.1740 | − | 35.7329i | −1.46095 | − | 1.62255i | ||||
\(486\) | −28.7057 | + | 20.8559i | −1.30212 | + | 0.946043i | ||||
\(487\) | 17.4338 | + | 3.70567i | 0.790001 | + | 0.167920i | 0.585206 | − | 0.810885i | \(-0.301014\pi\) |
0.204796 | + | 0.978805i | \(0.434347\pi\) | |||||||
\(488\) | 1.67584 | + | 0.356211i | 0.0758618 | + | 0.0161249i | ||||
\(489\) | −3.63359 | + | 11.1830i | −0.164317 | + | 0.505715i | ||||
\(490\) | −12.0468 | + | 20.8656i | −0.544217 | + | 0.942612i | ||||
\(491\) | 18.1949 | + | 31.5146i | 0.821126 | + | 1.42223i | 0.904844 | + | 0.425743i | \(0.139987\pi\) |
−0.0837180 | + | 0.996489i | \(0.526679\pi\) | |||||||
\(492\) | −0.720032 | + | 0.153047i | −0.0324615 | + | 0.00689991i | ||||
\(493\) | 26.5821 | + | 19.3130i | 1.19720 | + | 0.869814i | ||||
\(494\) | 35.4219 | − | 22.7852i | 1.59371 | − | 1.02515i | ||||
\(495\) | −4.20436 | −0.188972 | ||||||||
\(496\) | −1.35113 | − | 1.41715i | −0.0606673 | − | 0.0636319i | ||||
\(497\) | 1.41223 | + | 2.44606i | 0.0633472 | + | 0.109721i | ||||
\(498\) | −0.291261 | − | 2.77117i | −0.0130517 | − | 0.124179i | ||||
\(499\) | −28.1761 | − | 20.4712i | −1.26134 | − | 0.916415i | −0.262514 | − | 0.964928i | \(-0.584552\pi\) |
−0.998823 | + | 0.0485135i | \(0.984552\pi\) | |||||||
\(500\) | −9.83071 | − | 10.9181i | −0.439643 | − | 0.488273i | ||||
\(501\) | 4.26262 | − | 7.38307i | 0.190440 | − | 0.329851i | ||||
\(502\) | −56.2184 | −2.50915 | ||||||||
\(503\) | −4.40918 | − | 4.89689i | −0.196596 | − | 0.218342i | 0.636784 | − | 0.771042i | \(-0.280264\pi\) |
−0.833380 | + | 0.552700i | \(0.813597\pi\) | |||||||
\(504\) | −7.69376 | + | 8.54479i | −0.342707 | + | 0.380615i | ||||
\(505\) | −19.7970 | + | 21.9867i | −0.880953 | + | 0.978397i | ||||
\(506\) | −7.04705 | + | 5.11998i | −0.313280 | + | 0.227611i | ||||
\(507\) | 10.0421 | − | 0.967355i | 0.445983 | − | 0.0429618i | ||||
\(508\) | 4.08847 | − | 2.97045i | 0.181397 | − | 0.131792i | ||||
\(509\) | −4.09114 | + | 38.9246i | −0.181337 | + | 1.72530i | 0.404212 | + | 0.914665i | \(0.367546\pi\) |
−0.585549 | + | 0.810637i | \(0.699121\pi\) | |||||||
\(510\) | −12.6730 | + | 14.0748i | −0.561172 | + | 0.623244i | ||||
\(511\) | −14.7258 | + | 6.55636i | −0.651433 | + | 0.290037i | ||||
\(512\) | 3.21442 | + | 2.33541i | 0.142058 | + | 0.103212i | ||||
\(513\) | 21.0784 | + | 4.48034i | 0.930632 | + | 0.197812i | ||||
\(514\) | −7.86275 | + | 3.50072i | −0.346811 | + | 0.154410i | ||||
\(515\) | 31.2117 | − | 22.6766i | 1.37535 | − | 0.999251i | ||||
\(516\) | −15.3173 | − | 17.0116i | −0.674305 | − | 0.748892i | ||||
\(517\) | 1.69523 | + | 0.754766i | 0.0745563 | + | 0.0331946i | ||||
\(518\) | 32.8615 | − | 36.4964i | 1.44385 | − | 1.60356i | ||||
\(519\) | 4.17639 | + | 12.8536i | 0.183323 | + | 0.564211i | ||||
\(520\) | 9.93708 | − | 25.5547i | 0.435770 | − | 1.12065i | ||||
\(521\) | −34.3905 | −1.50668 | −0.753338 | − | 0.657634i | \(-0.771557\pi\) | ||||
−0.753338 | + | 0.657634i | \(0.771557\pi\) | |||||||
\(522\) | −24.1100 | − | 41.7598i | −1.05527 | − | 1.82777i | ||||
\(523\) | 19.7441 | − | 4.19674i | 0.863349 | − | 0.183510i | 0.245105 | − | 0.969497i | \(-0.421178\pi\) |
0.618244 | + | 0.785986i | \(0.287844\pi\) | |||||||
\(524\) | 22.5816 | − | 10.0540i | 0.986482 | − | 0.439210i | ||||
\(525\) | −3.89184 | + | 2.82758i | −0.169854 | + | 0.123406i | ||||
\(526\) | −15.7729 | + | 27.3195i | −0.687731 | + | 1.19118i | ||||
\(527\) | 16.3581 | − | 12.6128i | 0.712572 | − | 0.549423i | ||||
\(528\) | 0.165179 | 0.00718848 | ||||||||
\(529\) | −1.79496 | − | 17.0779i | −0.0780419 | − | 0.742519i | ||||
\(530\) | −0.808219 | + | 7.68969i | −0.0351068 | + | 0.334019i | ||||
\(531\) | −19.5984 | + | 4.16576i | −0.850497 | + | 0.180779i | ||||
\(532\) | 29.6606 | 1.28595 | ||||||||
\(533\) | −0.487778 | − | 0.967685i | −0.0211280 | − | 0.0419151i | ||||
\(534\) | 1.62496 | − | 5.00113i | 0.0703191 | − | 0.216420i | ||||
\(535\) | 0.486004 | − | 0.539762i | 0.0210118 | − | 0.0233360i | ||||
\(536\) | 11.0854 | − | 12.3116i | 0.478816 | − | 0.531779i | ||||
\(537\) | −1.01292 | − | 9.63725i | −0.0437105 | − | 0.415878i | ||||
\(538\) | −14.6556 | + | 45.1054i | −0.631849 | + | 1.94463i | ||||
\(539\) | 0.231712 | + | 2.20459i | 0.00998053 | + | 0.0949584i | ||||
\(540\) | 34.9887 | − | 15.5780i | 1.50567 | − | 0.670369i | ||||
\(541\) | −0.165140 | − | 0.508250i | −0.00709994 | − | 0.0218514i | 0.947444 | − | 0.319922i | \(-0.103657\pi\) |
−0.954544 | + | 0.298071i | \(0.903657\pi\) | |||||||
\(542\) | −7.22949 | + | 3.21878i | −0.310533 | + | 0.138258i | ||||
\(543\) | −0.430007 | + | 4.09125i | −0.0184534 | + | 0.175572i | ||||
\(544\) | −15.0146 | + | 16.6754i | −0.643745 | + | 0.714951i | ||||
\(545\) | −12.5908 | − | 9.14774i | −0.539330 | − | 0.391846i | ||||
\(546\) | 10.3190 | + | 5.31435i | 0.441611 | + | 0.227433i | ||||
\(547\) | −3.85447 | + | 11.8628i | −0.164805 | + | 0.507218i | −0.999022 | − | 0.0442184i | \(-0.985920\pi\) |
0.834217 | + | 0.551437i | \(0.185920\pi\) | |||||||
\(548\) | −23.9293 | − | 10.6540i | −1.02221 | − | 0.455116i | ||||
\(549\) | −1.04720 | + | 1.16304i | −0.0446936 | + | 0.0496373i | ||||
\(550\) | 4.56138 | + | 0.969551i | 0.194498 | + | 0.0413418i | ||||
\(551\) | −14.0793 | + | 43.3317i | −0.599799 | + | 1.84599i | ||||
\(552\) | 6.45551 | − | 11.1813i | 0.274765 | − | 0.475906i | ||||
\(553\) | 14.7082 | − | 25.4754i | 0.625457 | − | 1.08332i | ||||
\(554\) | −3.38180 | + | 10.4081i | −0.143679 | + | 0.442199i | ||||
\(555\) | −24.3159 | + | 10.8261i | −1.03215 | + | 0.459543i | ||||
\(556\) | −11.4913 | − | 5.11627i | −0.487341 | − | 0.216978i | ||||
\(557\) | 7.95239 | + | 13.7740i | 0.336954 | + | 0.583621i | 0.983858 | − | 0.178950i | \(-0.0572701\pi\) |
−0.646904 | + | 0.762571i | \(0.723937\pi\) | |||||||
\(558\) | −29.4598 | + | 7.14544i | −1.24713 | + | 0.302491i | ||||
\(559\) | 18.4765 | − | 28.1826i | 0.781473 | − | 1.19200i | ||||
\(560\) | −1.50579 | + | 1.09402i | −0.0636314 | + | 0.0462309i | ||||
\(561\) | −0.182145 | + | 1.73299i | −0.00769017 | + | 0.0731671i | ||||
\(562\) | 43.1484 | − | 9.17148i | 1.82011 | − | 0.386875i | ||||
\(563\) | −5.08705 | + | 8.81103i | −0.214394 | + | 0.371340i | −0.953085 | − | 0.302703i | \(-0.902111\pi\) |
0.738691 | + | 0.674044i | \(0.235444\pi\) | |||||||
\(564\) | −7.50912 | −0.316191 | ||||||||
\(565\) | 31.7701 | + | 35.2843i | 1.33658 | + | 1.48442i | ||||
\(566\) | 12.8332 | + | 2.72779i | 0.539421 | + | 0.114658i | ||||
\(567\) | −2.22570 | − | 6.84999i | −0.0934704 | − | 0.287672i | ||||
\(568\) | 0.424205 | + | 4.03604i | 0.0177992 | + | 0.169348i | ||||
\(569\) | 13.1653 | − | 2.79837i | 0.551918 | − | 0.117314i | 0.0764930 | − | 0.997070i | \(-0.475628\pi\) |
0.475425 | + | 0.879756i | \(0.342294\pi\) | |||||||
\(570\) | −23.9921 | − | 10.6820i | −1.00492 | − | 0.447418i | ||||
\(571\) | −30.3595 | − | 22.0575i | −1.27051 | − | 0.923076i | −0.271283 | − | 0.962500i | \(-0.587448\pi\) |
−0.999223 | + | 0.0394237i | \(0.987448\pi\) | |||||||
\(572\) | −1.75362 | − | 6.66017i | −0.0733226 | − | 0.278476i | ||||
\(573\) | 5.14021 | + | 3.73458i | 0.214735 | + | 0.156014i | ||||
\(574\) | 0.130324 | − | 1.23995i | 0.00543963 | − | 0.0517546i | ||||
\(575\) | −14.3905 | + | 15.9823i | −0.600125 | + | 0.666507i | ||||
\(576\) | 28.5429 | − | 12.7081i | 1.18929 | − | 0.529504i | ||||
\(577\) | −4.50093 | + | 3.27012i | −0.187376 | + | 0.136137i | −0.677519 | − | 0.735506i | \(-0.736945\pi\) |
0.490143 | + | 0.871642i | \(0.336945\pi\) | |||||||
\(578\) | 4.91733 | + | 5.46125i | 0.204534 | + | 0.227158i | ||||
\(579\) | 0.210234 | + | 2.00024i | 0.00873701 | + | 0.0831271i | ||||
\(580\) | 25.0234 | + | 77.0142i | 1.03904 | + | 3.19784i | ||||
\(581\) | 2.82566 | + | 0.600613i | 0.117228 | + | 0.0249176i | ||||
\(582\) | 28.6073 | − | 6.08068i | 1.18581 | − | 0.252052i | ||||
\(583\) | 0.355695 | + | 0.616081i | 0.0147314 | + | 0.0255155i | ||||
\(584\) | −23.1609 | −0.958404 | ||||||||
\(585\) | 15.6773 | + | 19.5327i | 0.648178 | + | 0.807579i | ||||
\(586\) | −34.4096 | − | 25.0000i | −1.42145 | − | 1.03274i | ||||
\(587\) | −7.63647 | − | 3.39998i | −0.315191 | − | 0.140332i | 0.243043 | − | 0.970015i | \(-0.421854\pi\) |
−0.558234 | + | 0.829683i | \(0.688521\pi\) | |||||||
\(588\) | −4.48511 | − | 7.76844i | −0.184963 | − | 0.320365i | ||||
\(589\) | 23.6430 | + | 16.1683i | 0.974195 | + | 0.666203i | ||||
\(590\) | 54.9704 | 2.26310 | ||||||||
\(591\) | −0.204327 | − | 1.94404i | −0.00840490 | − | 0.0799673i | ||||
\(592\) | −3.80346 | + | 1.69341i | −0.156321 | + | 0.0695988i | ||||
\(593\) | −11.1643 | + | 34.3601i | −0.458462 | + | 1.41100i | 0.408561 | + | 0.912731i | \(0.366031\pi\) |
−0.867023 | + | 0.498269i | \(0.833969\pi\) | |||||||
\(594\) | 2.87844 | − | 4.98560i | 0.118104 | − | 0.204562i | ||||
\(595\) | −9.81764 | − | 17.0047i | −0.402484 | − | 0.697123i | ||||
\(596\) | 53.5170 | − | 11.3754i | 2.19214 | − | 0.465955i | ||||
\(597\) | 0.0426712 | + | 0.131328i | 0.00174641 | + | 0.00537491i | ||||
\(598\) | 50.0638 | + | 13.6479i | 2.04726 | + | 0.558102i | ||||
\(599\) | −17.6843 | + | 12.8484i | −0.722561 | + | 0.524971i | −0.887201 | − | 0.461383i | \(-0.847354\pi\) |
0.164641 | + | 0.986354i | \(0.447354\pi\) | |||||||
\(600\) | −6.76093 | + | 1.43708i | −0.276014 | + | 0.0586685i | ||||
\(601\) | 20.5222 | + | 9.13709i | 0.837120 | + | 0.372710i | 0.780093 | − | 0.625663i | \(-0.215172\pi\) |
0.0570261 | + | 0.998373i | \(0.481838\pi\) | |||||||
\(602\) | 35.4196 | − | 15.7698i | 1.44360 | − | 0.642730i | ||||
\(603\) | 4.67643 | + | 14.3926i | 0.190439 | + | 0.586111i | ||||
\(604\) | −18.8567 | + | 8.39552i | −0.767266 | + | 0.341609i | ||||
\(605\) | −28.1434 | + | 12.5302i | −1.14419 | + | 0.509427i | ||||
\(606\) | −5.56095 | − | 17.1148i | −0.225898 | − | 0.695242i | ||||
\(607\) | −0.362597 | + | 0.161439i | −0.0147174 | + | 0.00655259i | −0.414082 | − | 0.910240i | \(-0.635897\pi\) |
0.399365 | + | 0.916792i | \(0.369231\pi\) | |||||||
\(608\) | −28.4250 | − | 12.6556i | −1.15279 | − | 0.513253i | ||||
\(609\) | −12.2818 | + | 2.61058i | −0.497685 | + | 0.105786i | ||||
\(610\) | 3.47369 | − | 2.52379i | 0.140646 | − | 0.102185i | ||||
\(611\) | −2.81472 | − | 10.6901i | −0.113871 | − | 0.432477i | ||||
\(612\) | 8.67543 | + | 26.7002i | 0.350683 | + | 1.07929i | ||||
\(613\) | −39.3701 | + | 8.36837i | −1.59014 | + | 0.337995i | −0.916179 | − | 0.400769i | \(-0.868743\pi\) |
−0.673964 | + | 0.738765i | \(0.735410\pi\) | |||||||
\(614\) | −5.73506 | − | 9.93342i | −0.231448 | − | 0.400880i | ||||
\(615\) | −0.337865 | + | 0.585199i | −0.0136240 | + | 0.0235975i | ||||
\(616\) | 0.896884 | − | 2.76033i | 0.0361365 | − | 0.111217i | ||||
\(617\) | 22.9247 | − | 10.2067i | 0.922915 | − | 0.410908i | 0.110426 | − | 0.993884i | \(-0.464779\pi\) |
0.812489 | + | 0.582976i | \(0.198112\pi\) | |||||||
\(618\) | 2.45286 | + | 23.3374i | 0.0986685 | + | 0.938768i | ||||
\(619\) | 26.7660 | 1.07582 | 0.537908 | − | 0.843004i | \(-0.319215\pi\) | ||||
0.537908 | + | 0.843004i | \(0.319215\pi\) | |||||||
\(620\) | 50.8866 | − | 1.45138i | 2.04366 | − | 0.0582887i | ||||
\(621\) | 13.2749 | + | 22.9927i | 0.532702 | + | 0.922667i | ||||
\(622\) | 59.7398 | + | 26.5979i | 2.39535 | + | 1.06648i | ||||
\(623\) | 4.41048 | + | 3.20440i | 0.176702 | + | 0.128382i | ||||
\(624\) | −0.615922 | − | 0.767391i | −0.0246566 | − | 0.0307202i | ||||
\(625\) | −30.4523 | −1.21809 | ||||||||
\(626\) | −3.23126 | − | 5.59671i | −0.129147 | − | 0.223689i | ||||
\(627\) | −2.36350 | + | 0.502377i | −0.0943890 | + | 0.0200630i | ||||
\(628\) | −46.9328 | − | 9.97588i | −1.87282 | − | 0.398081i | ||||
\(629\) | −13.5725 | − | 41.7719i | −0.541172 | − | 1.66556i | ||||
\(630\) | 3.01209 | + | 28.6581i | 0.120004 | + | 1.14177i | ||||
\(631\) | 17.7602 | + | 19.7247i | 0.707022 | + | 0.785227i | 0.984477 | − | 0.175511i | \(-0.0561579\pi\) |
−0.277456 | + | 0.960738i | \(0.589491\pi\) | |||||||
\(632\) | 34.1942 | − | 24.8436i | 1.36017 | − | 0.988224i | ||||
\(633\) | −0.965565 | + | 0.429897i | −0.0383778 | + | 0.0170869i | ||||
\(634\) | 22.4166 | − | 24.8962i | 0.890277 | − | 0.988753i | ||||
\(635\) | 0.484913 | − | 4.61364i | 0.0192432 | − | 0.183087i | ||||
\(636\) | −2.32892 | − | 1.69206i | −0.0923477 | − | 0.0670946i | ||||
\(637\) | 9.37812 | − | 9.29702i | 0.371575 | − | 0.368361i | ||||
\(638\) | 9.84717 | + | 7.15438i | 0.389853 | + | 0.283245i | ||||
\(639\) | −3.38659 | − | 1.50781i | −0.133972 | − | 0.0596480i | ||||
\(640\) | −49.5671 | + | 10.5358i | −1.95931 | + | 0.416465i | ||||
\(641\) | −3.80301 | − | 36.1832i | −0.150210 | − | 1.42915i | −0.766810 | − | 0.641874i | \(-0.778157\pi\) |
0.616600 | − | 0.787277i | \(-0.288510\pi\) | |||||||
\(642\) | 0.136518 | + | 0.420159i | 0.00538794 | + | 0.0165824i | ||||
\(643\) | 10.2113 | + | 2.17047i | 0.402693 | + | 0.0855951i | 0.404806 | − | 0.914403i | \(-0.367339\pi\) |
−0.00211259 | + | 0.999998i | \(0.500672\pi\) | |||||||
\(644\) | 24.4522 | + | 27.1569i | 0.963552 | + | 1.07013i | ||||
\(645\) | −21.0134 | −0.827402 | ||||||||
\(646\) | 21.6684 | − | 37.5307i | 0.852531 | − | 1.47663i | ||||
\(647\) | −22.2028 | + | 4.71934i | −0.872880 | + | 0.185536i | −0.622508 | − | 0.782613i | \(-0.713886\pi\) |
−0.250372 | + | 0.968150i | \(0.580553\pi\) | |||||||
\(648\) | 1.08174 | − | 10.2921i | 0.0424948 | − | 0.404311i | ||||
\(649\) | 4.09166 | − | 2.97277i | 0.160612 | − | 0.116691i | ||||
\(650\) | −12.5042 | − | 24.8067i | −0.490456 | − | 0.972997i | ||||
\(651\) | −0.600954 | + | 7.87068i | −0.0235532 | + | 0.308476i | ||||
\(652\) | −23.9098 | − | 41.4129i | −0.936379 | − | 1.62186i | ||||
\(653\) | 21.1139 | + | 9.40050i | 0.826249 | + | 0.367870i | 0.775895 | − | 0.630862i | \(-0.217298\pi\) |
0.0503538 | + | 0.998731i | \(0.483965\pi\) | |||||||
\(654\) | 8.64777 | − | 3.85023i | 0.338155 | − | 0.150556i | ||||
\(655\) | 7.01186 | − | 21.5803i | 0.273976 | − | 0.843211i | ||||
\(656\) | −0.0528485 | + | 0.0915362i | −0.00206339 | + | 0.00357389i | ||||
\(657\) | 10.5783 | − | 18.3222i | 0.412700 | − | 0.714817i | ||||
\(658\) | 3.93020 | − | 12.0959i | 0.153215 | − | 0.471548i | ||||
\(659\) | −45.8219 | − | 9.73974i | −1.78497 | − | 0.379407i | −0.807396 | − | 0.590010i | \(-0.799124\pi\) |
−0.977572 | + | 0.210603i | \(0.932457\pi\) | |||||||
\(660\) | −2.87360 | + | 3.19146i | −0.111855 | + | 0.124227i | ||||
\(661\) | −2.67540 | − | 1.19116i | −0.104061 | − | 0.0463309i | 0.354046 | − | 0.935228i | \(-0.384806\pi\) |
−0.458107 | + | 0.888897i | \(0.651472\pi\) | |||||||
\(662\) | −13.9890 | + | 43.0537i | −0.543698 | + | 1.67333i | ||||
\(663\) | 8.73038 | − | 5.61582i | 0.339060 | − | 0.218100i | ||||
\(664\) | 3.35798 | + | 2.43972i | 0.130315 | + | 0.0946794i | ||||
\(665\) | 18.2186 | − | 20.2338i | 0.706488 | − | 0.784635i | ||||
\(666\) | −6.73765 | + | 64.1045i | −0.261079 | + | 2.48400i | ||||
\(667\) | −51.2811 | + | 22.8318i | −1.98561 | + | 0.884051i | ||||
\(668\) | 10.7137 | + | 32.9735i | 0.414527 | + | 1.27578i | ||||
\(669\) | 11.1951 | − | 4.98437i | 0.432826 | − | 0.192707i | ||||
\(670\) | −4.33990 | − | 41.2914i | −0.167665 | − | 1.59523i | ||||
\(671\) | 0.122076 | − | 0.375710i | 0.00471268 | − | 0.0145041i | ||||
\(672\) | −0.896323 | − | 8.52794i | −0.0345764 | − | 0.328973i | ||||
\(673\) | 19.7122 | − | 21.8926i | 0.759848 | − | 0.843897i | −0.231814 | − | 0.972760i | \(-0.574466\pi\) |
0.991662 | + | 0.128863i | \(0.0411328\pi\) | |||||||
\(674\) | 32.6260 | − | 36.2348i | 1.25671 | − | 1.39571i | ||||
\(675\) | 4.39222 | − | 13.5179i | 0.169057 | − | 0.520303i | ||||
\(676\) | −24.4030 | + | 32.9816i | −0.938578 | + | 1.26852i | ||||
\(677\) | −25.4385 | −0.977680 | −0.488840 | − | 0.872374i | \(-0.662580\pi\) | ||||
−0.488840 | + | 0.872374i | \(0.662580\pi\) | |||||||
\(678\) | −28.2482 | + | 6.00435i | −1.08487 | + | 0.230596i | ||||
\(679\) | −3.16938 | + | 30.1547i | −0.121630 | + | 1.15723i | ||||
\(680\) | −2.94901 | − | 28.0580i | −0.113089 | − | 1.07597i | ||||
\(681\) | 20.9396 | 0.802407 | ||||||||
\(682\) | 6.05977 | − | 4.67234i | 0.232041 | − | 0.178913i | ||||
\(683\) | −11.7002 | + | 20.2653i | −0.447694 | + | 0.775429i | −0.998236 | − | 0.0593792i | \(-0.981088\pi\) |
0.550542 | + | 0.834808i | \(0.314421\pi\) | |||||||
\(684\) | −31.4944 | + | 22.8821i | −1.20422 | + | 0.874917i | ||||
\(685\) | −21.9662 | + | 9.77999i | −0.839286 | + | 0.373674i | ||||
\(686\) | 43.2643 | − | 9.19611i | 1.65184 | − | 0.351109i | ||||
\(687\) | 5.04746 | + | 8.74245i | 0.192572 | + | 0.333545i | ||||
\(688\) | −3.28689 | −0.125312 | ||||||||
\(689\) | 1.53588 | − | 3.94976i | 0.0585125 | − | 0.150474i | ||||
\(690\) | −9.99880 | − | 30.7731i | −0.380648 | − | 1.17151i | ||||
\(691\) | −16.2422 | + | 18.0388i | −0.617884 | + | 0.686230i | −0.968136 | − | 0.250426i | \(-0.919429\pi\) |
0.350252 | + | 0.936656i | \(0.386096\pi\) | |||||||
\(692\) | −50.2112 | − | 22.3555i | −1.90874 | − | 0.849827i | ||||
\(693\) | 1.77401 | + | 1.97024i | 0.0673892 | + | 0.0748433i | ||||
\(694\) | 30.1558 | − | 21.9094i | 1.14470 | − | 0.831671i | ||||
\(695\) | −10.5486 | + | 4.69655i | −0.400132 | + | 0.178150i | ||||
\(696\) | −17.6469 | − | 3.75096i | −0.668904 | − | 0.142180i | ||||
\(697\) | −0.902088 | − | 0.655406i | −0.0341690 | − | 0.0248253i | ||||
\(698\) | −7.07503 | + | 3.15001i | −0.267794 | + | 0.119230i | ||||
\(699\) | −7.70443 | + | 8.55664i | −0.291408 | + | 0.323642i | ||||
\(700\) | 2.04495 | − | 19.4564i | 0.0772919 | − | 0.735384i | ||||
\(701\) | −13.1997 | + | 9.59017i | −0.498547 | + | 0.362216i | −0.808462 | − | 0.588549i | \(-0.799699\pi\) |
0.309915 | + | 0.950764i | \(0.399699\pi\) | |||||||
\(702\) | −33.8954 | + | 5.21771i | −1.27930 | + | 0.196930i | ||||
\(703\) | 49.2724 | − | 35.7985i | 1.85834 | − | 1.35017i | ||||
\(704\) | −5.27721 | + | 5.86094i | −0.198892 | + | 0.220892i | ||||
\(705\) | −4.61239 | + | 5.12257i | −0.173713 | + | 0.192927i | ||||
\(706\) | 20.6086 | + | 22.8882i | 0.775615 | + | 0.861408i | ||||
\(707\) | 18.6566 | 0.701655 | ||||||||
\(708\) | −10.2330 | + | 17.7240i | −0.384579 | + | 0.666110i | ||||
\(709\) | 22.9512 | + | 25.4898i | 0.861949 | + | 0.957291i | 0.999448 | − | 0.0332107i | \(-0.0105732\pi\) |
−0.137500 | + | 0.990502i | \(0.543907\pi\) | |||||||
\(710\) | 8.22818 | + | 5.97812i | 0.308798 | + | 0.224355i | ||||
\(711\) | 4.03573 | + | 38.3974i | 0.151352 | + | 1.44001i | ||||
\(712\) | 3.91655 | + | 6.78366i | 0.146779 | + | 0.254229i | ||||
\(713\) | 4.68783 | + | 34.9765i | 0.175560 | + | 1.30988i | ||||
\(714\) | 11.9431 | 0.446958 | ||||||||
\(715\) | −5.62058 | − | 2.89464i | −0.210198 | − | 0.108253i | ||||
\(716\) | 31.8822 | + | 23.1638i | 1.19149 | + | 0.865671i | ||||
\(717\) | 3.88445 | − | 0.825666i | 0.145068 | − | 0.0308351i | ||||
\(718\) | 9.96013 | + | 17.2514i | 0.371709 | + | 0.643818i | ||||
\(719\) | −19.5422 | + | 33.8482i | −0.728803 | + | 1.26232i | 0.228587 | + | 0.973523i | \(0.426589\pi\) |
−0.957390 | + | 0.288800i | \(0.906744\pi\) | |||||||
\(720\) | 0.754897 | − | 2.32333i | 0.0281333 | − | 0.0865855i | ||||
\(721\) | −23.7963 | − | 5.05807i | −0.886222 | − | 0.188372i | ||||
\(722\) | 16.5797 | + | 3.52412i | 0.617032 | + | 0.131154i | ||||
\(723\) | −0.581139 | + | 0.422222i | −0.0216128 | + | 0.0157026i | ||||
\(724\) | −11.1945 | − | 12.4327i | −0.416040 | − | 0.462059i | ||||
\(725\) | 27.4536 | + | 12.2231i | 1.01960 | + | 0.453955i | ||||
\(726\) | 1.95866 | − | 18.6354i | 0.0726927 | − | 0.691625i | ||||
\(727\) | 1.93447 | + | 5.95370i | 0.0717457 | + | 0.220810i | 0.980499 | − | 0.196523i | \(-0.0629649\pi\) |
−0.908754 | + | 0.417333i | \(0.862965\pi\) | |||||||
\(728\) | −16.1683 | + | 6.12601i | −0.599238 | + | 0.227045i | ||||
\(729\) | −0.241904 | − | 0.175754i | −0.00895942 | − | 0.00650940i | ||||
\(730\) | −38.8393 | + | 43.1354i | −1.43751 | + | 1.59651i | ||||
\(731\) | 3.62451 | − | 34.4849i | 0.134057 | − | 1.27547i | ||||
\(732\) | 0.167098 | + | 1.58983i | 0.00617612 | + | 0.0587619i | ||||
\(733\) | −2.84318 | + | 8.75040i | −0.105015 | + | 0.323203i | −0.989734 | − | 0.142922i | \(-0.954350\pi\) |
0.884719 | + | 0.466125i | \(0.154350\pi\) | |||||||
\(734\) | 7.28403 | + | 69.3029i | 0.268858 | + | 2.55802i | ||||
\(735\) | −8.05440 | − | 1.71202i | −0.297091 | − | 0.0631487i | ||||
\(736\) | −11.8462 | − | 36.4590i | −0.436658 | − | 1.34390i | ||||
\(737\) | −2.55605 | − | 2.83878i | −0.0941533 | − | 0.104568i | ||||
\(738\) | 0.818196 | + | 1.41716i | 0.0301182 | + | 0.0521663i | ||||
\(739\) | −8.21292 | − | 14.2252i | −0.302117 | − | 0.523282i | 0.674498 | − | 0.738277i | \(-0.264360\pi\) |
−0.976615 | + | 0.214994i | \(0.931027\pi\) | |||||||
\(740\) | 33.4498 | − | 102.948i | 1.22964 | − | 3.78444i | ||||
\(741\) | 11.1470 | + | 9.10712i | 0.409496 | + | 0.334558i | ||||
\(742\) | 3.94456 | − | 2.86589i | 0.144809 | − | 0.105210i | ||||
\(743\) | −8.46139 | − | 14.6556i | −0.310418 | − | 0.537660i | 0.668035 | − | 0.744130i | \(-0.267136\pi\) |
−0.978453 | + | 0.206470i | \(0.933802\pi\) | |||||||
\(744\) | −5.38853 | + | 9.97991i | −0.197553 | + | 0.365881i | ||||
\(745\) | 25.1121 | − | 43.4955i | 0.920037 | − | 1.59355i | ||||
\(746\) | 49.0550 | − | 35.6405i | 1.79603 | − | 1.30489i | ||||
\(747\) | −3.46372 | + | 1.54215i | −0.126731 | + | 0.0564242i | ||||
\(748\) | −4.74183 | − | 5.26633i | −0.173378 | − | 0.192556i | ||||
\(749\) | −0.458010 | −0.0167353 | ||||||||
\(750\) | 4.10156 | − | 7.10410i | 0.149768 | − | 0.259405i | ||||
\(751\) | −40.0045 | + | 8.50322i | −1.45979 | + | 0.310287i | −0.868304 | − | 0.496032i | \(-0.834790\pi\) |
−0.591481 | + | 0.806319i | \(0.701457\pi\) | |||||||
\(752\) | −0.721465 | + | 0.801268i | −0.0263091 | + | 0.0292192i | ||||
\(753\) | −5.93731 | − | 18.2732i | −0.216368 | − | 0.665911i | ||||
\(754\) | −3.48034 | − | 72.4257i | −0.126747 | − | 2.63759i | ||||
\(755\) | −5.85521 | + | 18.0205i | −0.213093 | + | 0.655833i | ||||
\(756\) | −22.0635 | − | 9.82329i | −0.802441 | − | 0.357270i | ||||
\(757\) | 1.41061 | − | 13.4211i | 0.0512696 | − | 0.487798i | −0.938516 | − | 0.345235i | \(-0.887799\pi\) |
0.989786 | − | 0.142563i | \(-0.0455343\pi\) | |||||||
\(758\) | −43.1441 | − | 9.17055i | −1.56706 | − | 0.333089i | ||||
\(759\) | −2.40844 | − | 1.74984i | −0.0874209 | − | 0.0635150i | ||||
\(760\) | 35.7388 | − | 15.9119i | 1.29638 | − | 0.577187i | ||||
\(761\) | −5.16854 | − | 1.09861i | −0.187360 | − | 0.0398245i | 0.113276 | − | 0.993564i | \(-0.463866\pi\) |
−0.300636 | + | 0.953739i | \(0.597199\pi\) | |||||||
\(762\) | 2.28279 | + | 1.65854i | 0.0826966 | + | 0.0600826i | ||||
\(763\) | 1.02583 | + | 9.76013i | 0.0371376 | + | 0.353340i | ||||
\(764\) | −25.2743 | + | 5.37222i | −0.914392 | + | 0.194360i | ||||
\(765\) | 23.5431 | + | 10.4821i | 0.851204 | + | 0.378980i | ||||
\(766\) | 11.3454 | + | 34.9177i | 0.409927 | + | 1.26163i | ||||
\(767\) | −29.0681 | − | 7.92422i | −1.04959 | − | 0.286127i | ||||
\(768\) | 3.27498 | − | 10.0794i | 0.118176 | − | 0.363708i | ||||
\(769\) | −19.9660 | − | 34.5821i | −0.719991 | − | 1.24706i | −0.961003 | − | 0.276539i | \(-0.910812\pi\) |
0.241012 | − | 0.970522i | \(-0.422521\pi\) | |||||||
\(770\) | −3.63688 | − | 6.29927i | −0.131064 | − | 0.227010i | ||||
\(771\) | −1.96827 | − | 2.18598i | −0.0708854 | − | 0.0787262i | ||||
\(772\) | −6.61724 | − | 4.80771i | −0.238160 | − | 0.173033i | ||||
\(773\) | 2.14681 | + | 20.4255i | 0.0772153 | + | 0.734654i | 0.962807 | + | 0.270190i | \(0.0870865\pi\) |
−0.885592 | + | 0.464464i | \(0.846247\pi\) | |||||||
\(774\) | −25.4437 | + | 44.0698i | −0.914556 | + | 1.58406i | ||||
\(775\) | 12.2360 | − | 14.3944i | 0.439530 | − | 0.517062i | ||||
\(776\) | −21.7829 | + | 37.7291i | −0.781960 | + | 1.35439i | ||||
\(777\) | 15.3333 | + | 6.82683i | 0.550079 | + | 0.244911i | ||||
\(778\) | 1.75463 | − | 16.6942i | 0.0629064 | − | 0.598514i | ||||
\(779\) | 0.477795 | − | 1.47050i | 0.0171188 | − | 0.0526862i | ||||
\(780\) | 25.5421 | + | 1.44986i | 0.914556 | + | 0.0519134i | ||||
\(781\) | 0.935749 | 0.0334837 | ||||||||
\(782\) | 52.2262 | − | 11.1010i | 1.86761 | − | 0.396972i | ||||
\(783\) | 24.8242 | − | 27.5700i | 0.887143 | − | 0.985273i | ||||
\(784\) | −1.25986 | − | 0.267792i | −0.0449951 | − | 0.00956400i | ||||
\(785\) | −35.6333 | + | 25.8891i | −1.27181 | + | 0.924021i | ||||
\(786\) | 9.23507 | + | 10.2566i | 0.329404 | + | 0.365840i | ||||
\(787\) | −2.33893 | − | 22.2534i | −0.0833738 | − | 0.793249i | −0.953697 | − | 0.300768i | \(-0.902757\pi\) |
0.870323 | − | 0.492481i | \(-0.163910\pi\) | |||||||
\(788\) | 6.43134 | + | 4.67264i | 0.229107 | + | 0.166456i | ||||
\(789\) | −10.5457 | − | 2.24155i | −0.375436 | − | 0.0798014i | ||||
\(790\) | 11.0722 | − | 105.345i | 0.393932 | − | 3.74802i | ||||
\(791\) | 3.12960 | − | 29.7761i | 0.111276 | − | 1.05872i | ||||
\(792\) | 1.17715 | + | 3.62291i | 0.0418284 | + | 0.128734i | ||||
\(793\) | −2.20068 | + | 0.833816i | −0.0781486 | + | 0.0296097i | ||||
\(794\) | 7.90375 | − | 5.74241i | 0.280494 | − | 0.203791i | ||||
\(795\) | −2.58480 | + | 0.549417i | −0.0916735 | + | 0.0194858i | ||||
\(796\) | −0.513020 | − | 0.228411i | −0.0181835 | − | 0.00809582i | ||||
\(797\) | −39.8546 | − | 8.47136i | −1.41172 | − | 0.300071i | −0.561929 | − | 0.827186i | \(-0.689941\pi\) |
−0.849794 | + | 0.527115i | \(0.823274\pi\) | |||||||
\(798\) | 5.11760 | + | 15.7503i | 0.181161 | + | 0.557556i | ||||
\(799\) | −7.61104 | − | 8.45292i | −0.269259 | − | 0.299043i | ||||
\(800\) | −10.2615 | + | 17.7734i | −0.362798 | + | 0.628384i | ||||
\(801\) | −7.15526 | −0.252819 | ||||||||
\(802\) | −26.5442 | − | 29.4803i | −0.937309 | − | 1.04099i | ||||
\(803\) | −0.558223 | + | 5.31114i | −0.0196993 | + | 0.187426i | ||||
\(804\) | 14.1214 | + | 6.28726i | 0.498024 | + | 0.221735i | ||||
\(805\) | 33.5454 | 1.18232 | ||||||||
\(806\) | −44.3027 | − | 10.7303i | −1.56050 | − | 0.377959i | ||||
\(807\) | −16.2088 | −0.570576 | ||||||||
\(808\) | 24.4889 | + | 10.9031i | 0.861515 | + | 0.383571i | ||||
\(809\) | 3.42512 | − | 32.5878i | 0.120421 | − | 1.14573i | −0.752748 | − | 0.658308i | \(-0.771272\pi\) |
0.873169 | − | 0.487418i | \(-0.162061\pi\) | |||||||
\(810\) | −17.3542 | − | 19.2738i | −0.609765 | − | 0.677212i | ||||
\(811\) | 39.9597 | 1.40318 | 0.701588 | − | 0.712583i | \(-0.252475\pi\) | ||||
0.701588 | + | 0.712583i | \(0.252475\pi\) | |||||||
\(812\) | 25.5318 | − | 44.2223i | 0.895989 | − | 1.55190i | ||||
\(813\) | −1.80974 | − | 2.00992i | −0.0634705 | − | 0.0704911i | ||||
\(814\) | −5.02785 | − | 15.4741i | −0.176226 | − | 0.542368i | ||||
\(815\) | −42.9374 | − | 9.12663i | −1.50403 | − | 0.319692i | ||||
\(816\) | −0.924950 | − | 0.411814i | −0.0323797 | − | 0.0144164i | ||||
\(817\) | 47.0313 | − | 9.99681i | 1.64542 | − | 0.349744i | ||||
\(818\) | −46.9119 | + | 34.0835i | −1.64024 | + | 1.19170i | ||||
\(819\) | 2.53841 | − | 15.5884i | 0.0886993 | − | 0.544704i | ||||
\(820\) | −0.849194 | − | 2.61355i | −0.0296552 | − | 0.0912692i | ||||
\(821\) | −3.08324 | + | 29.3351i | −0.107606 | + | 1.02380i | 0.798859 | + | 0.601519i | \(0.205438\pi\) |
−0.906464 | + | 0.422282i | \(0.861229\pi\) | |||||||
\(822\) | 1.52876 | − | 14.5451i | 0.0533215 | − | 0.507320i | ||||
\(823\) | 50.9426 | + | 10.8282i | 1.77575 | + | 0.377447i | 0.975114 | − | 0.221705i | \(-0.0711623\pi\) |
0.800635 | + | 0.599152i | \(0.204496\pi\) | |||||||
\(824\) | −28.2793 | − | 20.5461i | −0.985155 | − | 0.715757i | ||||
\(825\) | 0.166592 | + | 1.58502i | 0.00580000 | + | 0.0551833i | ||||
\(826\) | −23.1946 | − | 25.7602i | −0.807042 | − | 0.896311i | ||||
\(827\) | −13.1583 | + | 9.56008i | −0.457560 | + | 0.332436i | −0.792573 | − | 0.609777i | \(-0.791259\pi\) |
0.335014 | + | 0.942213i | \(0.391259\pi\) | |||||||
\(828\) | −46.9147 | − | 9.97202i | −1.63040 | − | 0.346552i | ||||
\(829\) | −28.0734 | + | 31.1786i | −0.975028 | + | 1.08288i | 0.0215121 | + | 0.999769i | \(0.493152\pi\) |
−0.996540 | + | 0.0831100i | \(0.973515\pi\) | |||||||
\(830\) | 10.1749 | − | 2.16274i | 0.353176 | − | 0.0750699i | ||||
\(831\) | −3.74020 | −0.129746 | ||||||||
\(832\) | 46.9067 | + | 2.66259i | 1.62620 | + | 0.0923088i | ||||
\(833\) | 4.19884 | − | 12.9227i | 0.145481 | − | 0.447746i | ||||
\(834\) | 0.734141 | − | 6.98488i | 0.0254212 | − | 0.241867i | ||||
\(835\) | 29.0746 | + | 12.9449i | 1.00617 | + | 0.447975i | ||||
\(836\) | 4.91329 | − | 8.51007i | 0.169930 | − | 0.294327i | ||||
\(837\) | −12.2325 | − | 19.8574i | −0.422816 | − | 0.686372i | ||||
\(838\) | −27.5485 | + | 47.7153i | −0.951646 | + | 1.64830i | ||||
\(839\) | −1.12850 | − | 10.7370i | −0.0389602 | − | 0.370681i | −0.996579 | − | 0.0826433i | \(-0.973664\pi\) |
0.957619 | − | 0.288038i | \(-0.0930029\pi\) | |||||||
\(840\) | 8.72222 | + | 6.33707i | 0.300945 | + | 0.218650i | ||||
\(841\) | 33.0810 | + | 36.7401i | 1.14072 | + | 1.26690i | ||||
\(842\) | −43.4763 | − | 75.3032i | −1.49829 | − | 2.59512i | ||||
\(843\) | 7.53805 | + | 13.0563i | 0.259624 | + | 0.449682i | ||||
\(844\) | 1.32827 | − | 4.08799i | 0.0457208 | − | 0.140714i | ||||
\(845\) | 7.51015 | + | 36.9058i | 0.258357 | + | 1.26960i | ||||
\(846\) | 5.15836 | + | 15.8758i | 0.177348 | + | 0.545821i | ||||
\(847\) | 17.7469 | + | 7.90142i | 0.609790 | + | 0.271496i | ||||
\(848\) | −0.404312 | + | 0.0859392i | −0.0138841 | + | 0.00295116i | ||||
\(849\) | 0.468700 | + | 4.45938i | 0.0160857 | + | 0.153046i | ||||
\(850\) | −23.1251 | − | 16.8014i | −0.793184 | − | 0.576282i | ||||
\(851\) | 73.3970 | + | 15.6010i | 2.51602 | + | 0.534796i | ||||
\(852\) | −3.45923 | + | 1.54015i | −0.118511 | + | 0.0527646i | ||||
\(853\) | 38.3354 | + | 27.8523i | 1.31258 | + | 0.953643i | 0.999993 | + | 0.00375352i | \(0.00119478\pi\) |
0.312585 | + | 0.949890i | \(0.398805\pi\) | |||||||
\(854\) | −2.64840 | − | 0.562936i | −0.0906265 | − | 0.0192633i | ||||
\(855\) | −3.73540 | + | 35.5399i | −0.127748 | + | 1.21544i | ||||
\(856\) | −0.601188 | − | 0.267666i | −0.0205482 | − | 0.00914864i | ||||
\(857\) | 5.37554 | − | 16.5442i | 0.183625 | − | 0.565139i | −0.816297 | − | 0.577632i | \(-0.803977\pi\) |
0.999922 | + | 0.0124930i | \(0.00397675\pi\) | |||||||
\(858\) | 3.23411 | − | 2.08035i | 0.110411 | − | 0.0710218i | ||||
\(859\) | 4.98436 | + | 15.3403i | 0.170064 | + | 0.523403i | 0.999374 | − | 0.0353859i | \(-0.0112660\pi\) |
−0.829310 | + | 0.558789i | \(0.811266\pi\) | |||||||
\(860\) | 57.1819 | − | 63.5070i | 1.94989 | − | 2.16557i | ||||
\(861\) | 0.416796 | − | 0.0885927i | 0.0142044 | − | 0.00301923i | ||||
\(862\) | −31.9533 | + | 55.3448i | −1.08833 | + | 1.88505i | ||||
\(863\) | 14.0008 | 0.476591 | 0.238296 | − | 0.971193i | \(-0.423411\pi\) | ||||
0.238296 | + | 0.971193i | \(0.423411\pi\) | |||||||
\(864\) | 16.9530 | + | 18.8282i | 0.576752 | + | 0.640548i | ||||
\(865\) | −46.0921 | + | 20.5215i | −1.56718 | + | 0.697753i | ||||
\(866\) | −33.9745 | + | 24.6839i | −1.15450 | + | 0.838794i | ||||
\(867\) | −1.25579 | + | 2.17509i | −0.0426489 | + | 0.0738700i | ||||
\(868\) | −22.1515 | − | 23.2340i | −0.751873 | − | 0.788614i | ||||
\(869\) | −4.87286 | − | 8.44003i | −0.165300 | − | 0.286309i | ||||
\(870\) | −36.5786 | + | 26.5759i | −1.24013 | + | 0.901007i | ||||
\(871\) | −3.65742 | + | 22.4603i | −0.123927 | + | 0.761038i | ||||
\(872\) | −4.35741 | + | 13.4107i | −0.147561 | + | 0.454145i | ||||
\(873\) | −19.8979 | − | 34.4642i | −0.673442 | − | 1.16644i | ||||
\(874\) | 37.0188 | + | 64.1184i | 1.25218 | + | 2.16884i | ||||
\(875\) | 5.69058 | + | 6.32003i | 0.192377 | + | 0.213656i | ||||
\(876\) | −6.67798 | − | 20.5527i | −0.225628 | − | 0.694412i | ||||
\(877\) | −55.1426 | − | 11.7209i | −1.86203 | − | 0.395788i | −0.867257 | − | 0.497860i | \(-0.834119\pi\) |
−0.994777 | + | 0.102072i | \(0.967453\pi\) | |||||||
\(878\) | 3.52005 | + | 33.4911i | 0.118796 | + | 1.13027i | ||||
\(879\) | 4.49193 | − | 13.8247i | 0.151509 | − | 0.466297i | ||||
\(880\) | 0.0644564 | + | 0.613262i | 0.00217282 | + | 0.0206730i | ||||
\(881\) | 0.897370 | − | 8.53791i | 0.0302332 | − | 0.287649i | −0.968951 | − | 0.247254i | \(-0.920472\pi\) |
0.999184 | − | 0.0403950i | \(-0.0128616\pi\) | |||||||
\(882\) | −13.3430 | + | 14.8189i | −0.449283 | + | 0.498979i | ||||
\(883\) | 17.6589 | + | 12.8299i | 0.594268 | + | 0.431761i | 0.843840 | − | 0.536596i | \(-0.180290\pi\) |
−0.249572 | + | 0.968356i | \(0.580290\pi\) | |||||||
\(884\) | −6.78501 | + | 41.6669i | −0.228205 | + | 1.40141i | ||||
\(885\) | 5.80551 | + | 17.8675i | 0.195150 | + | 0.600610i | ||||
\(886\) | −7.66681 | + | 72.9448i | −0.257571 | + | 2.45063i | ||||
\(887\) | −13.5302 | − | 6.02402i | −0.454298 | − | 0.202267i | 0.166814 | − | 0.985988i | \(-0.446652\pi\) |
−0.621112 | + | 0.783722i | \(0.713319\pi\) | |||||||
\(888\) | 16.1369 | + | 17.9219i | 0.541521 | + | 0.601419i | ||||
\(889\) | −2.36664 | + | 1.71947i | −0.0793746 | + | 0.0576690i | ||||
\(890\) | 19.2019 | + | 4.08148i | 0.643648 | + | 0.136812i | ||||
\(891\) | −2.33406 | − | 0.496119i | −0.0781938 | − | 0.0166206i | ||||
\(892\) | −15.4004 | + | 47.3974i | −0.515642 | + | 1.58698i | ||||
\(893\) | 7.88626 | − | 13.6594i | 0.263904 | − | 0.457095i | ||||
\(894\) | 15.2743 | + | 26.4559i | 0.510850 | + | 0.884819i | ||||
\(895\) | 35.3851 | − | 7.52134i | 1.18279 | − | 0.251411i | ||||
\(896\) | 25.8519 | + | 18.7825i | 0.863653 | + | 0.627480i | ||||
\(897\) | 0.851230 | + | 17.7140i | 0.0284217 | + | 0.591454i | ||||
\(898\) | 7.04765 | 0.235183 | ||||||||
\(899\) | 44.4580 | − | 21.3329i | 1.48276 | − | 0.711491i | ||||
\(900\) | 12.8385 | + | 22.2370i | 0.427951 | + | 0.741234i | ||||
\(901\) | −0.455802 | − | 4.33666i | −0.0151850 | − | 0.144475i | ||||
\(902\) | −0.334173 | − | 0.242791i | −0.0111267 | − | 0.00808405i | ||||
\(903\) | 8.86652 | + | 9.84727i | 0.295059 | + | 0.327697i | ||||
\(904\) | 21.5094 | − | 37.2554i | 0.715393 | − | 1.23910i | ||||
\(905\) | −15.3574 | −0.510499 | ||||||||
\(906\) | −7.71170 | − | 8.56471i | −0.256204 | − | 0.284543i | ||||
\(907\) | 9.08645 | − | 10.0915i | 0.301711 | − | 0.335084i | −0.573157 | − | 0.819445i | \(-0.694282\pi\) |
0.874868 | + | 0.484362i | \(0.160948\pi\) | |||||||
\(908\) | −56.9811 | + | 63.2840i | −1.89099 | + | 2.10015i | ||||
\(909\) | −19.8102 | + | 14.3929i | −0.657062 | + | 0.477383i | ||||
\(910\) | −15.7040 | + | 40.3852i | −0.520582 | + | 1.33876i | ||||
\(911\) | 46.7688 | − | 33.9795i | 1.54952 | − | 1.12579i | 0.605526 | − | 0.795826i | \(-0.292963\pi\) |
0.943993 | − | 0.329966i | \(-0.107037\pi\) | |||||||
\(912\) | 0.146754 | − | 1.39627i | 0.00485952 | − | 0.0462352i | ||||
\(913\) | 0.640398 | − | 0.711234i | 0.0211941 | − | 0.0235384i | ||||
\(914\) | 1.12802 | − | 0.502228i | 0.0373117 | − | 0.0166122i | ||||
\(915\) | 1.18719 | + | 0.862544i | 0.0392473 | + | 0.0285148i | ||||
\(916\) | −40.1568 | − | 8.53558i | −1.32682 | − | 0.282024i | ||||
\(917\) | −13.0715 | + | 5.81983i | −0.431660 | + | 0.192188i | ||||
\(918\) | −28.5482 | + | 20.7415i | −0.942231 | + | 0.684571i | ||||
\(919\) | 8.78717 | + | 9.75914i | 0.289862 | + | 0.321924i | 0.870435 | − | 0.492284i | \(-0.163838\pi\) |
−0.580573 | + | 0.814209i | \(0.697171\pi\) | |||||||
\(920\) | 44.0320 | + | 19.6043i | 1.45169 | + | 0.646334i | ||||
\(921\) | 2.62306 | − | 2.91320i | 0.0864326 | − | 0.0959931i | ||||
\(922\) | −2.59270 | − | 7.97952i | −0.0853862 | − | 0.262792i | ||||
\(923\) | −3.48924 | − | 4.34732i | −0.114850 | − | 0.143094i | ||||
\(924\) | 2.70808 | 0.0890894 | ||||||||
\(925\) | −20.0856 | − | 34.7893i | −0.660411 | − | 1.14387i | ||||
\(926\) | −58.1956 | + | 12.3699i | −1.91243 | + | 0.406499i | ||||
\(927\) | 29.1698 | − | 12.9872i | 0.958060 | − | 0.426556i | ||||
\(928\) | −43.3371 | + | 31.4862i | −1.42261 | + | 1.03359i | ||||
\(929\) | 5.94240 | − | 10.2925i | 0.194964 | − | 0.337687i | −0.751925 | − | 0.659249i | \(-0.770874\pi\) |
0.946889 | + | 0.321562i | \(0.104208\pi\) | |||||||
\(930\) | 9.55063 | + | 26.7714i | 0.313178 | + | 0.877869i | ||||
\(931\) | 18.8415 | 0.617505 | ||||||||
\(932\) | −4.89459 | − | 46.5689i | −0.160328 | − | 1.52541i | ||||
\(933\) | −2.33613 | + | 22.2268i | −0.0764814 | + | 0.727672i | ||||
\(934\) | −80.6440 | + | 17.1414i | −2.63875 | + | 0.560884i | ||||
\(935\) | −6.50520 | −0.212743 | ||||||||
\(936\) | 12.4420 | − | 18.9781i | 0.406679 | − | 0.620317i | ||||
\(937\) | −9.15826 | + | 28.1862i | −0.299187 | + | 0.920804i | 0.682595 | + | 0.730797i | \(0.260851\pi\) |
−0.981783 | + | 0.190007i | \(0.939149\pi\) | |||||||
\(938\) | −17.5187 | + | 19.4565i | −0.572007 | + | 0.635278i | ||||
\(939\) | 1.47789 | − | 1.64136i | 0.0482290 | − | 0.0535638i | ||||
\(940\) | −2.93023 | − | 27.8792i | −0.0955735 | − | 0.909321i | ||||
\(941\) | 11.5070 | − | 35.4150i | 0.375119 | − | 1.15450i | −0.568280 | − | 0.822835i | \(-0.692391\pi\) |
0.943399 | − | 0.331661i | \(-0.107609\pi\) | |||||||
\(942\) | −2.80034 | − | 26.6435i | −0.0912402 | − | 0.868092i | ||||
\(943\) | 1.74027 | − | 0.774819i | 0.0566711 | − | 0.0252316i | ||||
\(944\) | 0.908092 | + | 2.79482i | 0.0295559 | + | 0.0909636i | ||||
\(945\) | −20.2535 | + | 9.01743i | −0.658846 | + | 0.293337i | ||||
\(946\) | 1.34268 | − | 12.7747i | 0.0436542 | − | 0.415342i | ||||
\(947\) | 1.10473 | − | 1.22693i | 0.0358990 | − | 0.0398698i | −0.724928 | − | 0.688825i | \(-0.758127\pi\) |
0.760827 | + | 0.648955i | \(0.224794\pi\) | |||||||
\(948\) | 31.9052 | + | 23.1805i | 1.03623 | + | 0.752866i | ||||
\(949\) | 26.7561 | − | 17.2109i | 0.868541 | − | 0.558689i | ||||
\(950\) | 12.2483 | − | 37.6964i | 0.397387 | − | 1.22303i | ||||
\(951\) | 10.4597 | + | 4.65694i | 0.339178 | + | 0.151012i | ||||
\(952\) | −11.9042 | + | 13.2209i | −0.385816 | + | 0.428492i | ||||
\(953\) | −47.0366 | − | 9.99794i | −1.52366 | − | 0.323865i | −0.631428 | − | 0.775434i | \(-0.717531\pi\) |
−0.892236 | + | 0.451569i | \(0.850864\pi\) | |||||||
\(954\) | −1.97752 | + | 6.08617i | −0.0640244 | + | 0.197047i | ||||
\(955\) | −11.8596 | + | 20.5415i | −0.383768 | + | 0.664706i | ||||
\(956\) | −8.07509 | + | 13.9865i | −0.261167 | + | 0.452354i | ||||
\(957\) | −1.28548 | + | 3.95629i | −0.0415536 | + | 0.127889i | ||||
\(958\) | 1.98035 | − | 0.881707i | 0.0639821 | − | 0.0284867i | ||||
\(959\) | 13.8516 | + | 6.16715i | 0.447293 | + | 0.199148i | ||||
\(960\) | −14.6480 | − | 25.3711i | −0.472763 | − | 0.818850i | ||||
\(961\) | −4.99235 | − | 30.5954i | −0.161044 | − | 0.986947i | ||||
\(962\) | −53.1422 | + | 81.0589i | −1.71337 | + | 2.61344i | ||||
\(963\) | 0.486328 | − | 0.353338i | 0.0156717 | − | 0.0113862i | ||||
\(964\) | 0.305358 | − | 2.90528i | 0.00983490 | − | 0.0935729i | ||||
\(965\) | −7.34428 | + | 1.56108i | −0.236421 | + | 0.0502528i | ||||
\(966\) | −10.2019 | + | 17.6702i | −0.328241 | + | 0.568530i | ||||
\(967\) | −39.5141 | −1.27069 | −0.635344 | − | 0.772230i | \(-0.719142\pi\) | ||||
−0.635344 | + | 0.772230i | \(0.719142\pi\) | |||||||
\(968\) | 18.6770 | + | 20.7429i | 0.600303 | + | 0.666704i | ||||
\(969\) | 14.4874 | + | 3.07938i | 0.465401 | + | 0.0989241i | ||||
\(970\) | 33.7391 | + | 103.838i | 1.08330 | + | 3.33404i | ||||
\(971\) | −1.15678 | − | 11.0060i | −0.0371227 | − | 0.353199i | −0.997278 | − | 0.0737323i | \(-0.976509\pi\) |
0.960155 | − | 0.279467i | \(-0.0901577\pi\) | |||||||
\(972\) | 48.2387 | − | 10.2534i | 1.54726 | − | 0.328879i | ||||
\(973\) | 6.65184 | + | 2.96159i | 0.213248 | + | 0.0949443i | ||||
\(974\) | −32.7418 | − | 23.7883i | −1.04911 | − | 0.762226i | ||||
\(975\) | 6.74253 | − | 6.68422i | 0.215934 | − | 0.214066i | ||||
\(976\) | 0.185699 | + | 0.134918i | 0.00594408 | + | 0.00431863i | ||||
\(977\) | −1.45948 | + | 13.8860i | −0.0466928 | + | 0.444252i | 0.946052 | + | 0.324014i | \(0.105032\pi\) |
−0.992745 | + | 0.120238i | \(0.961634\pi\) | |||||||
\(978\) | 17.8657 | − | 19.8419i | 0.571283 | − | 0.634474i | ||||
\(979\) | 1.64999 | − | 0.734624i | 0.0527340 | − | 0.0234787i | ||||
\(980\) | 27.0918 | − | 19.6834i | 0.865417 | − | 0.628762i | ||||
\(981\) | −8.61885 | − | 9.57220i | −0.275179 | − | 0.305617i | ||||
\(982\) | −8.63717 | − | 82.1772i | −0.275623 | − | 2.62238i | ||||
\(983\) | 4.13153 | + | 12.7156i | 0.131775 | + | 0.405563i | 0.995075 | − | 0.0991295i | \(-0.0316058\pi\) |
−0.863299 | + | 0.504693i | \(0.831606\pi\) | |||||||
\(984\) | 0.598864 | + | 0.127293i | 0.0190911 | + | 0.00405794i | ||||
\(985\) | 7.13796 | − | 1.51722i | 0.227434 | − | 0.0483426i | ||||
\(986\) | −37.3042 | − | 64.6128i | −1.18801 | − | 2.05769i | ||||
\(987\) | 4.34671 | 0.138357 | ||||||||
\(988\) | −57.8571 | + | 8.90628i | −1.84068 | + | 0.283346i | ||||
\(989\) | 47.9257 | + | 34.8200i | 1.52395 | + | 1.10721i | ||||
\(990\) | 8.72141 | + | 3.88302i | 0.277185 | + | 0.123411i | ||||
\(991\) | 3.12072 | + | 5.40525i | 0.0991331 | + | 0.171703i | 0.911326 | − | 0.411685i | \(-0.135060\pi\) |
−0.812193 | + | 0.583389i | \(0.801726\pi\) | |||||||
\(992\) | 11.3153 | + | 31.7178i | 0.359260 | + | 1.00704i | ||||
\(993\) | −15.4715 | −0.490974 | ||||||||
\(994\) | −0.670389 | − | 6.37832i | −0.0212634 | − | 0.202308i | ||||
\(995\) | −0.470934 | + | 0.209673i | −0.0149296 | + | 0.00664709i | ||||
\(996\) | −1.19677 | + | 3.68328i | −0.0379211 | + | 0.116709i | ||||
\(997\) | −27.6159 | + | 47.8322i | −0.874605 | + | 1.51486i | −0.0174222 | + | 0.999848i | \(0.505546\pi\) |
−0.857183 | + | 0.515012i | \(0.827787\pi\) | |||||||
\(998\) | 39.5412 | + | 68.4874i | 1.25166 | + | 2.16793i | ||||
\(999\) | −48.5082 | + | 10.3107i | −1.53473 | + | 0.326217i |
(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 | 403.2.bl.b.16.4 | ✓ | 280 | |
13.9 | even | 3 | inner | 403.2.bl.b.295.32 | yes | 280 | |
31.2 | even | 5 | inner | 403.2.bl.b.250.32 | yes | 280 | |
403.126 | even | 15 | inner | 403.2.bl.b.126.4 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bl.b.16.4 | ✓ | 280 | 1.1 | even | 1 | trivial | |
403.2.bl.b.126.4 | yes | 280 | 403.126 | even | 15 | inner | |
403.2.bl.b.250.32 | yes | 280 | 31.2 | even | 5 | inner | |
403.2.bl.b.295.32 | yes | 280 | 13.9 | even | 3 | inner |