Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [93,2,Mod(7,93)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(93, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 28]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("93.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 93 = 3 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 93.m (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: | \(0.742608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 76.3 | ||
Character | \(\chi\) | \(=\) | 93.76 |
Dual form | 93.2.m.b.82.3 |
$q$-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 \(\left(\mathbb{Z}/93\mathbb{Z}\right)^\times\).
\(n\) | \(32\) | \(34\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{11}{15}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.704349 | − | 2.16776i | 0.498050 | − | 1.53284i | −0.314099 | − | 0.949390i | \(-0.601702\pi\) |
0.812149 | − | 0.583450i | \(-0.198298\pi\) | |||||||
\(3\) | 0.669131 | − | 0.743145i | 0.386323 | − | 0.429055i | ||||
\(4\) | −2.58506 | − | 1.87816i | −1.29253 | − | 0.939078i | ||||
\(5\) | −0.398612 | + | 0.690417i | −0.178265 | + | 0.308764i | −0.941286 | − | 0.337609i | \(-0.890382\pi\) |
0.763021 | + | 0.646373i | \(0.223715\pi\) | |||||||
\(6\) | −1.13966 | − | 1.97395i | −0.465265 | − | 0.805862i | ||||
\(7\) | −0.477794 | + | 4.54591i | −0.180589 | + | 1.71819i | 0.410733 | + | 0.911756i | \(0.365273\pi\) |
−0.591322 | + | 0.806436i | \(0.701394\pi\) | |||||||
\(8\) | −2.20416 | + | 1.60142i | −0.779289 | + | 0.566186i | ||||
\(9\) | −0.104528 | − | 0.994522i | −0.0348428 | − | 0.331507i | ||||
\(10\) | 1.21590 | + | 1.35039i | 0.384501 | + | 0.427031i | ||||
\(11\) | 2.06856 | − | 0.920981i | 0.623693 | − | 0.277686i | −0.0704586 | − | 0.997515i | \(-0.522446\pi\) |
0.694152 | + | 0.719829i | \(0.255780\pi\) | |||||||
\(12\) | −3.12548 | + | 0.664342i | −0.902249 | + | 0.191779i | ||||
\(13\) | −2.23546 | − | 0.475161i | −0.620004 | − | 0.131786i | −0.112808 | − | 0.993617i | \(-0.535985\pi\) |
−0.507196 | + | 0.861831i | \(0.669318\pi\) | |||||||
\(14\) | 9.51792 | + | 4.23765i | 2.54377 | + | 1.13256i | ||||
\(15\) | 0.246356 | + | 0.758205i | 0.0636088 | + | 0.195768i | ||||
\(16\) | −0.0558146 | − | 0.171780i | −0.0139536 | − | 0.0429449i | ||||
\(17\) | −2.35281 | − | 1.04754i | −0.570641 | − | 0.254066i | 0.101070 | − | 0.994879i | \(-0.467773\pi\) |
−0.671711 | + | 0.740814i | \(0.734440\pi\) | |||||||
\(18\) | −2.22951 | − | 0.473898i | −0.525501 | − | 0.111699i | ||||
\(19\) | −4.27578 | + | 0.908845i | −0.980932 | + | 0.208503i | −0.670351 | − | 0.742044i | \(-0.733857\pi\) |
−0.310580 | + | 0.950547i | \(0.600523\pi\) | |||||||
\(20\) | 2.32715 | − | 1.03611i | 0.520366 | − | 0.231682i | ||||
\(21\) | 3.05856 | + | 3.39688i | 0.667433 | + | 0.741259i | ||||
\(22\) | −0.539483 | − | 5.13283i | −0.115018 | − | 1.09432i | ||||
\(23\) | 5.65996 | − | 4.11220i | 1.18018 | − | 0.857454i | 0.187991 | − | 0.982171i | \(-0.439802\pi\) |
0.992192 | + | 0.124717i | \(0.0398023\pi\) | |||||||
\(24\) | −0.284787 | + | 2.70957i | −0.0581319 | + | 0.553088i | ||||
\(25\) | 2.18222 | + | 3.77971i | 0.436443 | + | 0.755942i | ||||
\(26\) | −2.60458 | + | 4.51126i | −0.510800 | + | 0.884732i | ||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | 9.77304 | − | 10.8541i | 1.84693 | − | 2.05123i | ||||
\(29\) | −2.52855 | + | 7.78207i | −0.469540 | + | 1.44510i | 0.383642 | + | 0.923482i | \(0.374670\pi\) |
−0.853182 | + | 0.521613i | \(0.825330\pi\) | |||||||
\(30\) | 1.81713 | 0.331761 | ||||||||
\(31\) | 2.24947 | − | 5.09312i | 0.404016 | − | 0.914752i | ||||
\(32\) | −5.86068 | −1.03603 | ||||||||
\(33\) | 0.699712 | − | 2.15349i | 0.121804 | − | 0.374875i | ||||
\(34\) | −3.92802 | + | 4.36251i | −0.673650 | + | 0.748164i | ||||
\(35\) | −2.94811 | − | 2.14193i | −0.498322 | − | 0.362052i | ||||
\(36\) | −1.59765 | + | 2.76722i | −0.266276 | + | 0.461203i | ||||
\(37\) | 4.36455 | + | 7.55962i | 0.717528 | + | 1.24279i | 0.961976 | + | 0.273132i | \(0.0880597\pi\) |
−0.244449 | + | 0.969662i | \(0.578607\pi\) | |||||||
\(38\) | −1.04148 | + | 9.90903i | −0.168951 | + | 1.60746i | ||||
\(39\) | −1.84893 | + | 1.34332i | −0.296065 | + | 0.215104i | ||||
\(40\) | −0.227039 | − | 2.16013i | −0.0358981 | − | 0.341547i | ||||
\(41\) | −7.08260 | − | 7.86602i | −1.10612 | − | 1.22847i | −0.971366 | − | 0.237587i | \(-0.923644\pi\) |
−0.134750 | − | 0.990880i | \(-0.543023\pi\) | |||||||
\(42\) | 9.51792 | − | 4.23765i | 1.46865 | − | 0.653884i | ||||
\(43\) | −1.92913 | + | 0.410048i | −0.294189 | + | 0.0625318i | −0.352642 | − | 0.935758i | \(-0.614717\pi\) |
0.0584529 | + | 0.998290i | \(0.481383\pi\) | |||||||
\(44\) | −7.07709 | − | 1.50428i | −1.06691 | − | 0.226779i | ||||
\(45\) | 0.728301 | + | 0.324260i | 0.108569 | + | 0.0483379i | ||||
\(46\) | −4.92770 | − | 15.1659i | −0.726549 | − | 2.23609i | ||||
\(47\) | −1.09764 | − | 3.37820i | −0.160108 | − | 0.492761i | 0.838535 | − | 0.544848i | \(-0.183413\pi\) |
−0.998643 | + | 0.0520869i | \(0.983413\pi\) | |||||||
\(48\) | −0.165004 | − | 0.0734647i | −0.0238163 | − | 0.0106037i | ||||
\(49\) | −13.5899 | − | 2.88863i | −1.94142 | − | 0.412662i | ||||
\(50\) | 9.73056 | − | 2.06829i | 1.37611 | − | 0.292501i | ||||
\(51\) | −2.35281 | + | 1.04754i | −0.329460 | + | 0.146685i | ||||
\(52\) | 4.88636 | + | 5.42686i | 0.677617 | + | 0.752569i | ||||
\(53\) | 0.106558 | + | 1.01383i | 0.0146368 | + | 0.139260i | 0.999400 | − | 0.0346420i | \(-0.0110291\pi\) |
−0.984763 | + | 0.173902i | \(0.944362\pi\) | |||||||
\(54\) | −1.84401 | + | 1.33975i | −0.250938 | + | 0.182317i | ||||
\(55\) | −0.188692 | + | 1.79528i | −0.0254432 | + | 0.242075i | ||||
\(56\) | −6.22676 | − | 10.7851i | −0.832085 | − | 1.44121i | ||||
\(57\) | −2.18565 | + | 3.78566i | −0.289497 | + | 0.501423i | ||||
\(58\) | 15.0887 | + | 10.9626i | 1.98125 | + | 1.43946i | ||||
\(59\) | 3.07829 | − | 3.41879i | 0.400760 | − | 0.445089i | −0.508661 | − | 0.860967i | \(-0.669859\pi\) |
0.909420 | + | 0.415879i | \(0.136526\pi\) | |||||||
\(60\) | 0.787183 | − | 2.42270i | 0.101625 | − | 0.312769i | ||||
\(61\) | 0.251899 | 0.0322523 | 0.0161262 | − | 0.999870i | \(-0.494867\pi\) | ||||
0.0161262 | + | 0.999870i | \(0.494867\pi\) | |||||||
\(62\) | −9.45628 | − | 8.46365i | −1.20095 | − | 1.07488i | ||||
\(63\) | 4.57095 | 0.575885 | ||||||||
\(64\) | −4.01633 | + | 12.3610i | −0.502042 | + | 1.54513i | ||||
\(65\) | 1.21914 | − | 1.35399i | 0.151216 | − | 0.167942i | ||||
\(66\) | −4.17542 | − | 3.03362i | −0.513959 | − | 0.373413i | ||||
\(67\) | 1.98619 | − | 3.44018i | 0.242652 | − | 0.420285i | −0.718817 | − | 0.695199i | \(-0.755316\pi\) |
0.961469 | + | 0.274914i | \(0.0886494\pi\) | |||||||
\(68\) | 4.11472 | + | 7.12690i | 0.498983 | + | 0.864263i | ||||
\(69\) | 0.731291 | − | 6.95777i | 0.0880371 | − | 0.837617i | ||||
\(70\) | −6.71970 | + | 4.88215i | −0.803158 | + | 0.583529i | ||||
\(71\) | −0.804058 | − | 7.65010i | −0.0954241 | − | 0.907900i | −0.932587 | − | 0.360946i | \(-0.882454\pi\) |
0.837163 | − | 0.546954i | \(-0.184213\pi\) | |||||||
\(72\) | 1.82304 | + | 2.02469i | 0.214848 | + | 0.238612i | ||||
\(73\) | 8.35045 | − | 3.71786i | 0.977346 | − | 0.435143i | 0.145020 | − | 0.989429i | \(-0.453675\pi\) |
0.832326 | + | 0.554286i | \(0.187009\pi\) | |||||||
\(74\) | 19.4617 | − | 4.13670i | 2.26237 | − | 0.480882i | ||||
\(75\) | 4.26906 | + | 0.907417i | 0.492949 | + | 0.104779i | ||||
\(76\) | 12.7601 | + | 5.68116i | 1.46368 | + | 0.651674i | ||||
\(77\) | 3.19835 | + | 9.84350i | 0.364486 | + | 1.12177i | ||||
\(78\) | 1.60972 | + | 4.95421i | 0.182265 | + | 0.560953i | ||||
\(79\) | 8.02362 | + | 3.57235i | 0.902728 | + | 0.401920i | 0.804988 | − | 0.593292i | \(-0.202172\pi\) |
0.0977404 | + | 0.995212i | \(0.468839\pi\) | |||||||
\(80\) | 0.140848 | + | 0.0299381i | 0.0157473 | + | 0.00334719i | ||||
\(81\) | −0.978148 | + | 0.207912i | −0.108683 | + | 0.0231013i | ||||
\(82\) | −22.0403 | + | 9.81297i | −2.43394 | + | 1.08366i | ||||
\(83\) | −1.85000 | − | 2.05463i | −0.203064 | − | 0.225525i | 0.633008 | − | 0.774145i | \(-0.281820\pi\) |
−0.836072 | + | 0.548620i | \(0.815153\pi\) | |||||||
\(84\) | −1.52670 | − | 14.5256i | −0.166577 | − | 1.58487i | ||||
\(85\) | 1.66110 | − | 1.20686i | 0.180171 | − | 0.130902i | ||||
\(86\) | −0.469890 | + | 4.47071i | −0.0506696 | + | 0.482089i | ||||
\(87\) | 4.09128 | + | 7.08630i | 0.438631 | + | 0.759731i | ||||
\(88\) | −3.08456 | + | 5.34261i | −0.328815 | + | 0.569524i | ||||
\(89\) | −1.10573 | − | 0.803361i | −0.117207 | − | 0.0851561i | 0.527637 | − | 0.849470i | \(-0.323078\pi\) |
−0.644845 | + | 0.764314i | \(0.723078\pi\) | |||||||
\(90\) | 1.21590 | − | 1.35039i | 0.128167 | − | 0.142344i | ||||
\(91\) | 3.22813 | − | 9.93515i | 0.338400 | − | 1.04149i | ||||
\(92\) | −22.3547 | −2.33064 | ||||||||
\(93\) | −2.27974 | − | 5.07964i | −0.236398 | − | 0.526735i | ||||
\(94\) | −8.09627 | −0.835066 | ||||||||
\(95\) | 1.07690 | − | 3.31435i | 0.110487 | − | 0.340045i | ||||
\(96\) | −3.92156 | + | 4.35533i | −0.400242 | + | 0.444514i | ||||
\(97\) | −0.0532738 | − | 0.0387057i | −0.00540914 | − | 0.00392997i | 0.585077 | − | 0.810977i | \(-0.301064\pi\) |
−0.590487 | + | 0.807047i | \(0.701064\pi\) | |||||||
\(98\) | −15.8339 | + | 27.4252i | −1.59947 | + | 2.77036i | ||||
\(99\) | −1.13216 | − | 1.96096i | −0.113786 | − | 0.197083i | ||||
\(100\) | 1.45772 | − | 13.8693i | 0.145772 | − | 1.38693i | ||||
\(101\) | −9.55254 | + | 6.94033i | −0.950513 | + | 0.690588i | −0.950928 | − | 0.309411i | \(-0.899868\pi\) |
0.000414784 | 1.00000i | \(0.499868\pi\) | ||||||||
\(102\) | 0.613617 | + | 5.83817i | 0.0607571 | + | 0.578065i | ||||
\(103\) | 12.1843 | + | 13.5320i | 1.20055 | + | 1.33335i | 0.928621 | + | 0.371030i | \(0.120995\pi\) |
0.271931 | + | 0.962317i | \(0.412338\pi\) | |||||||
\(104\) | 5.68824 | − | 2.53257i | 0.557778 | − | 0.248339i | ||||
\(105\) | −3.56444 | + | 0.757645i | −0.347854 | + | 0.0739386i | ||||
\(106\) | 2.27279 | + | 0.483097i | 0.220753 | + | 0.0469225i | ||||
\(107\) | 5.71321 | + | 2.54368i | 0.552317 | + | 0.245907i | 0.663866 | − | 0.747852i | \(-0.268915\pi\) |
−0.111549 | + | 0.993759i | \(0.535581\pi\) | |||||||
\(108\) | 0.987405 | + | 3.03892i | 0.0950131 | + | 0.292420i | ||||
\(109\) | −2.99731 | − | 9.22477i | −0.287090 | − | 0.883573i | −0.985764 | − | 0.168133i | \(-0.946226\pi\) |
0.698674 | − | 0.715440i | \(-0.253774\pi\) | |||||||
\(110\) | 3.75884 | + | 1.67354i | 0.358391 | + | 0.159566i | ||||
\(111\) | 8.53835 | + | 1.81488i | 0.810424 | + | 0.172261i | ||||
\(112\) | 0.807562 | − | 0.171653i | 0.0763075 | − | 0.0162196i | ||||
\(113\) | −3.81080 | + | 1.69668i | −0.358490 | + | 0.159610i | −0.578076 | − | 0.815983i | \(-0.696196\pi\) |
0.219585 | + | 0.975593i | \(0.429530\pi\) | |||||||
\(114\) | 6.66696 | + | 7.40441i | 0.624418 | + | 0.693486i | ||||
\(115\) | 0.583003 | + | 5.54691i | 0.0543653 | + | 0.517252i | ||||
\(116\) | 21.1524 | − | 15.3681i | 1.96395 | − | 1.42689i | ||||
\(117\) | −0.238889 | + | 2.27288i | −0.0220853 | + | 0.210128i | ||||
\(118\) | −5.24294 | − | 9.08104i | −0.482652 | − | 0.835977i | ||||
\(119\) | 5.88618 | − | 10.1952i | 0.539585 | − | 0.934588i | ||||
\(120\) | −1.75721 | − | 1.27669i | −0.160411 | − | 0.116545i | ||||
\(121\) | −3.92972 | + | 4.36439i | −0.357247 | + | 0.396763i | ||||
\(122\) | 0.177425 | − | 0.546057i | 0.0160633 | − | 0.0494377i | ||||
\(123\) | −10.5848 | −0.954397 | ||||||||
\(124\) | −15.3807 | + | 8.94117i | −1.38123 | + | 0.802941i | ||||
\(125\) | −7.46555 | −0.667739 | ||||||||
\(126\) | 3.21954 | − | 9.90873i | 0.286820 | − | 0.882740i | ||||
\(127\) | 13.6658 | − | 15.1774i | 1.21264 | − | 1.34678i | 0.291978 | − | 0.956425i | \(-0.405687\pi\) |
0.920666 | − | 0.390352i | \(-0.127647\pi\) | |||||||
\(128\) | 14.4841 | + | 10.5233i | 1.28022 | + | 0.930136i | ||||
\(129\) | −0.986112 | + | 1.70800i | −0.0868223 | + | 0.150381i | ||||
\(130\) | −2.07643 | − | 3.59649i | −0.182115 | − | 0.315433i | ||||
\(131\) | −0.245534 | + | 2.33610i | −0.0214524 | + | 0.204106i | −0.999998 | − | 0.00192351i | \(-0.999388\pi\) |
0.978546 | + | 0.206030i | \(0.0660544\pi\) | |||||||
\(132\) | −5.85339 | + | 4.25274i | −0.509472 | + | 0.370153i | ||||
\(133\) | −2.08858 | − | 19.8715i | −0.181103 | − | 1.72308i | ||||
\(134\) | −6.05853 | − | 6.72868i | −0.523378 | − | 0.581270i | ||||
\(135\) | 0.728301 | − | 0.324260i | 0.0626821 | − | 0.0279079i | ||||
\(136\) | 6.86352 | − | 1.45889i | 0.588542 | − | 0.125099i | ||||
\(137\) | 17.7257 | + | 3.76772i | 1.51441 | + | 0.321898i | 0.888822 | − | 0.458253i | \(-0.151525\pi\) |
0.625591 | + | 0.780151i | \(0.284858\pi\) | |||||||
\(138\) | −14.5677 | − | 6.48597i | −1.24009 | − | 0.552122i | ||||
\(139\) | −1.11458 | − | 3.43033i | −0.0945377 | − | 0.290957i | 0.892595 | − | 0.450859i | \(-0.148882\pi\) |
−0.987133 | + | 0.159902i | \(0.948882\pi\) | |||||||
\(140\) | 3.59817 | + | 11.0740i | 0.304101 | + | 0.935927i | ||||
\(141\) | −3.24496 | − | 1.44475i | −0.273275 | − | 0.121670i | ||||
\(142\) | −17.1499 | − | 3.64533i | −1.43919 | − | 0.305910i | ||||
\(143\) | −5.06178 | + | 1.07592i | −0.423288 | + | 0.0899726i | ||||
\(144\) | −0.165004 | + | 0.0734647i | −0.0137504 | + | 0.00612206i | ||||
\(145\) | −4.36496 | − | 4.84778i | −0.362490 | − | 0.402586i | ||||
\(146\) | −2.17781 | − | 20.7205i | −0.180237 | − | 1.71484i | ||||
\(147\) | −11.2401 | + | 8.16643i | −0.927070 | + | 0.673556i | ||||
\(148\) | 2.91553 | − | 27.7394i | 0.239655 | − | 2.28016i | ||||
\(149\) | −6.12004 | − | 10.6002i | −0.501373 | − | 0.868403i | −0.999999 | − | 0.00158608i | \(-0.999495\pi\) |
0.498626 | − | 0.866817i | \(-0.333838\pi\) | |||||||
\(150\) | 4.97397 | − | 8.61518i | 0.406123 | − | 0.703426i | ||||
\(151\) | −0.444224 | − | 0.322748i | −0.0361504 | − | 0.0262648i | 0.569563 | − | 0.821947i | \(-0.307112\pi\) |
−0.605714 | + | 0.795683i | \(0.707112\pi\) | |||||||
\(152\) | 7.96907 | − | 8.85055i | 0.646377 | − | 0.717875i | ||||
\(153\) | −0.795865 | + | 2.44942i | −0.0643419 | + | 0.198024i | ||||
\(154\) | 23.5911 | 1.90103 | ||||||||
\(155\) | 2.61971 | + | 3.58325i | 0.210420 | + | 0.287814i | ||||
\(156\) | 7.30255 | 0.584672 | ||||||||
\(157\) | −2.61513 | + | 8.04854i | −0.208710 | + | 0.642343i | 0.790831 | + | 0.612035i | \(0.209649\pi\) |
−0.999541 | + | 0.0303083i | \(0.990351\pi\) | |||||||
\(158\) | 13.3954 | − | 14.8771i | 1.06568 | − | 1.18356i | ||||
\(159\) | 0.824721 | + | 0.599195i | 0.0654047 | + | 0.0475193i | ||||
\(160\) | 2.33614 | − | 4.04631i | 0.184688 | − | 0.319889i | ||||
\(161\) | 15.9894 | + | 27.6944i | 1.26014 | + | 2.18263i | ||||
\(162\) | −0.238254 | + | 2.26684i | −0.0187190 | + | 0.178099i | ||||
\(163\) | −6.23819 | + | 4.53231i | −0.488613 | + | 0.354998i | −0.804651 | − | 0.593748i | \(-0.797647\pi\) |
0.316038 | + | 0.948747i | \(0.397647\pi\) | |||||||
\(164\) | 3.53532 | + | 33.6364i | 0.276062 | + | 2.62656i | ||||
\(165\) | 1.20789 | + | 1.34150i | 0.0940344 | + | 0.104436i | ||||
\(166\) | −5.75700 | + | 2.56318i | −0.446830 | + | 0.198941i | ||||
\(167\) | −17.2546 | + | 3.66757i | −1.33520 | + | 0.283805i | −0.819556 | − | 0.572999i | \(-0.805780\pi\) |
−0.515642 | + | 0.856804i | \(0.672447\pi\) | |||||||
\(168\) | −12.1814 | − | 2.58923i | −0.939814 | − | 0.199764i | ||||
\(169\) | −7.10460 | − | 3.16317i | −0.546508 | − | 0.243321i | ||||
\(170\) | −1.44619 | − | 4.45092i | −0.110918 | − | 0.341370i | ||||
\(171\) | 1.35081 | + | 4.15736i | 0.103299 | + | 0.317921i | ||||
\(172\) | 5.75704 | + | 2.56320i | 0.438970 | + | 0.195442i | ||||
\(173\) | 21.5097 | + | 4.57204i | 1.63536 | + | 0.347605i | 0.931782 | − | 0.363018i | \(-0.118254\pi\) |
0.703573 | + | 0.710623i | \(0.251587\pi\) | |||||||
\(174\) | 18.2431 | − | 3.87770i | 1.38301 | − | 0.293967i | ||||
\(175\) | −18.2249 | + | 8.11423i | −1.37767 | + | 0.613378i | ||||
\(176\) | −0.273661 | − | 0.303932i | −0.0206280 | − | 0.0229097i | ||||
\(177\) | −0.480877 | − | 4.57523i | −0.0361449 | − | 0.343896i | ||||
\(178\) | −2.52032 | + | 1.83112i | −0.188906 | + | 0.137248i | ||||
\(179\) | −0.902491 | + | 8.58663i | −0.0674553 | + | 0.641795i | 0.907600 | + | 0.419835i | \(0.137912\pi\) |
−0.975056 | + | 0.221960i | \(0.928755\pi\) | |||||||
\(180\) | −1.27369 | − | 2.20609i | −0.0949352 | − | 0.164433i | ||||
\(181\) | −7.83047 | + | 13.5628i | −0.582034 | + | 1.00811i | 0.413204 | + | 0.910639i | \(0.364410\pi\) |
−0.995238 | + | 0.0974742i | \(0.968924\pi\) | |||||||
\(182\) | −19.2633 | − | 13.9956i | −1.42789 | − | 1.03743i | ||||
\(183\) | 0.168553 | − | 0.187197i | 0.0124598 | − | 0.0138380i | ||||
\(184\) | −5.89012 | + | 18.1279i | −0.434225 | + | 1.33641i | ||||
\(185\) | −6.95905 | −0.511640 | ||||||||
\(186\) | −12.6172 | + | 1.36409i | −0.925138 | + | 0.100020i | ||||
\(187\) | −5.83169 | −0.426455 | ||||||||
\(188\) | −3.50731 | + | 10.7944i | −0.255797 | + | 0.787262i | ||||
\(189\) | 3.05856 | − | 3.39688i | 0.222478 | − | 0.247086i | ||||
\(190\) | −6.42621 | − | 4.66892i | −0.466206 | − | 0.338719i | ||||
\(191\) | 4.38724 | − | 7.59893i | 0.317450 | − | 0.549839i | −0.662505 | − | 0.749057i | \(-0.730507\pi\) |
0.979955 | + | 0.199218i | \(0.0638402\pi\) | |||||||
\(192\) | 6.49857 | + | 11.2558i | 0.468994 | + | 0.812321i | ||||
\(193\) | −0.234416 | + | 2.23032i | −0.0168737 | + | 0.160542i | −0.999714 | − | 0.0239164i | \(-0.992386\pi\) |
0.982840 | + | 0.184458i | \(0.0590531\pi\) | |||||||
\(194\) | −0.121428 | + | 0.0882228i | −0.00871804 | + | 0.00633403i | ||||
\(195\) | −0.190448 | − | 1.81199i | −0.0136383 | − | 0.129760i | ||||
\(196\) | 29.7055 | + | 32.9913i | 2.12182 | + | 2.35652i | ||||
\(197\) | −6.87851 | + | 3.06251i | −0.490074 | + | 0.218195i | −0.636869 | − | 0.770972i | \(-0.719771\pi\) |
0.146795 | + | 0.989167i | \(0.453104\pi\) | |||||||
\(198\) | −5.04832 | + | 1.07305i | −0.358769 | + | 0.0762587i | ||||
\(199\) | −5.48522 | − | 1.16592i | −0.388837 | − | 0.0826499i | 0.00934480 | − | 0.999956i | \(-0.497025\pi\) |
−0.398182 | + | 0.917306i | \(0.630359\pi\) | |||||||
\(200\) | −10.8628 | − | 4.83645i | −0.768119 | − | 0.341989i | ||||
\(201\) | −1.22753 | − | 3.77796i | −0.0865835 | − | 0.266477i | ||||
\(202\) | 8.31667 | + | 25.5961i | 0.585159 | + | 1.80093i | ||||
\(203\) | −34.1685 | − | 15.2128i | −2.39816 | − | 1.06773i | ||||
\(204\) | 8.04960 | + | 1.71100i | 0.563585 | + | 0.119794i | ||||
\(205\) | 8.25404 | − | 1.75445i | 0.576487 | − | 0.122536i | ||||
\(206\) | 37.9162 | − | 16.8814i | 2.64174 | − | 1.17618i | ||||
\(207\) | −4.68130 | − | 5.19911i | −0.325373 | − | 0.361363i | ||||
\(208\) | 0.0431481 | + | 0.410527i | 0.00299178 | + | 0.0284649i | ||||
\(209\) | −8.00767 | + | 5.81791i | −0.553902 | + | 0.402433i | ||||
\(210\) | −0.868214 | + | 8.26051i | −0.0599125 | + | 0.570029i | ||||
\(211\) | 1.35528 | + | 2.34741i | 0.0933010 | + | 0.161602i | 0.908898 | − | 0.417018i | \(-0.136925\pi\) |
−0.815597 | + | 0.578620i | \(0.803591\pi\) | |||||||
\(212\) | 1.62867 | − | 2.82094i | 0.111857 | − | 0.193743i | ||||
\(213\) | −6.22315 | − | 4.52138i | −0.426403 | − | 0.309800i | ||||
\(214\) | 9.53820 | − | 10.5932i | 0.652018 | − | 0.724139i | ||||
\(215\) | 0.485869 | − | 1.49535i | 0.0331360 | − | 0.101982i | ||||
\(216\) | 2.72449 | 0.185378 | ||||||||
\(217\) | 22.0781 | + | 12.6593i | 1.49876 | + | 0.859372i | ||||
\(218\) | −22.1083 | −1.49736 | ||||||||
\(219\) | 2.82463 | − | 8.69333i | 0.190871 | − | 0.587441i | ||||
\(220\) | 3.85959 | − | 4.28651i | 0.260214 | − | 0.288997i | ||||
\(221\) | 4.76186 | + | 3.45969i | 0.320317 | + | 0.232724i | ||||
\(222\) | 9.94822 | − | 17.2308i | 0.667681 | − | 1.15646i | ||||
\(223\) | 3.14107 | + | 5.44050i | 0.210342 | + | 0.364323i | 0.951822 | − | 0.306652i | \(-0.0992089\pi\) |
−0.741480 | + | 0.670975i | \(0.765876\pi\) | |||||||
\(224\) | 2.80020 | − | 26.6421i | 0.187096 | − | 1.78010i | ||||
\(225\) | 3.53090 | − | 2.56535i | 0.235393 | − | 0.171023i | ||||
\(226\) | 0.993864 | + | 9.45598i | 0.0661108 | + | 0.629002i | ||||
\(227\) | 6.45159 | + | 7.16521i | 0.428207 | + | 0.475572i | 0.918179 | − | 0.396166i | \(-0.129660\pi\) |
−0.489972 | + | 0.871738i | \(0.662993\pi\) | |||||||
\(228\) | 12.7601 | − | 5.68116i | 0.845058 | − | 0.376244i | ||||
\(229\) | 3.48220 | − | 0.740164i | 0.230110 | − | 0.0489114i | −0.0914134 | − | 0.995813i | \(-0.529138\pi\) |
0.321523 | + | 0.946902i | \(0.395805\pi\) | |||||||
\(230\) | 12.4350 | + | 2.64315i | 0.819941 | + | 0.174284i | ||||
\(231\) | 9.45526 | + | 4.20975i | 0.622111 | + | 0.276981i | ||||
\(232\) | −6.88902 | − | 21.2022i | −0.452286 | − | 1.39199i | ||||
\(233\) | 0.691952 | + | 2.12961i | 0.0453313 | + | 0.139515i | 0.971160 | − | 0.238427i | \(-0.0766318\pi\) |
−0.925829 | + | 0.377942i | \(0.876632\pi\) | |||||||
\(234\) | 4.75880 | + | 2.11876i | 0.311093 | + | 0.138507i | ||||
\(235\) | 2.76990 | + | 0.588760i | 0.180688 | + | 0.0384065i | ||||
\(236\) | −14.3786 | + | 3.05626i | −0.935966 | + | 0.198946i | ||||
\(237\) | 8.02362 | − | 3.57235i | 0.521190 | − | 0.232049i | ||||
\(238\) | −17.9548 | − | 19.9408i | −1.16383 | − | 1.29257i | ||||
\(239\) | 1.56290 | + | 14.8700i | 0.101096 | + | 0.961860i | 0.921053 | + | 0.389436i | \(0.127330\pi\) |
−0.819958 | + | 0.572424i | \(0.806003\pi\) | |||||||
\(240\) | 0.116494 | − | 0.0846379i | 0.00751966 | − | 0.00546335i | ||||
\(241\) | 0.0972398 | − | 0.925175i | 0.00626377 | − | 0.0595958i | −0.990944 | − | 0.134279i | \(-0.957128\pi\) |
0.997207 | + | 0.0746837i | \(0.0237947\pi\) | |||||||
\(242\) | 6.69308 | + | 11.5928i | 0.430247 | + | 0.745210i | ||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −0.651173 | − | 0.473105i | −0.0416871 | − | 0.0302874i | ||||
\(245\) | 7.41148 | − | 8.23128i | 0.473502 | − | 0.525877i | ||||
\(246\) | −7.45538 | + | 22.9453i | −0.475338 | + | 1.46294i | ||||
\(247\) | 9.99018 | 0.635660 | ||||||||
\(248\) | 3.19802 | + | 14.8284i | 0.203075 | + | 0.941604i | ||||
\(249\) | −2.76478 | −0.175211 | ||||||||
\(250\) | −5.25836 | + | 16.1836i | −0.332568 | + | 1.02354i | ||||
\(251\) | 9.74726 | − | 10.8254i | 0.615241 | − | 0.683295i | −0.352335 | − | 0.935874i | \(-0.614612\pi\) |
0.967576 | + | 0.252579i | \(0.0812788\pi\) | |||||||
\(252\) | −11.8162 | − | 8.58495i | −0.744349 | − | 0.540801i | ||||
\(253\) | 7.92069 | − | 13.7190i | 0.497970 | − | 0.862509i | ||||
\(254\) | −23.2755 | − | 40.3144i | −1.46044 | − | 2.52955i | ||||
\(255\) | 0.214621 | − | 2.04198i | 0.0134401 | − | 0.127874i | ||||
\(256\) | 11.9841 | − | 8.70692i | 0.749003 | − | 0.544183i | ||||
\(257\) | −0.350300 | − | 3.33288i | −0.0218511 | − | 0.207899i | 0.978149 | − | 0.207906i | \(-0.0666647\pi\) |
−1.00000 | 6.32408e-6i | \(0.999998\pi\) | ||||||||
\(258\) | 3.00796 | + | 3.34068i | 0.187268 | + | 0.207982i | ||||
\(259\) | −36.4507 | + | 16.2289i | −2.26494 | + | 1.00841i | ||||
\(260\) | −5.69455 | + | 1.21042i | −0.353161 | + | 0.0750668i | ||||
\(261\) | 8.00375 | + | 1.70125i | 0.495420 | + | 0.105305i | ||||
\(262\) | 4.89118 | + | 2.17769i | 0.302178 | + | 0.134538i | ||||
\(263\) | 5.79482 | + | 17.8346i | 0.357324 | + | 1.09973i | 0.954650 | + | 0.297731i | \(0.0962299\pi\) |
−0.597326 | + | 0.801999i | \(0.703770\pi\) | |||||||
\(264\) | 1.90636 | + | 5.86718i | 0.117328 | + | 0.361100i | ||||
\(265\) | −0.742438 | − | 0.330555i | −0.0456076 | − | 0.0203058i | ||||
\(266\) | −44.5479 | − | 9.46895i | −2.73141 | − | 0.580579i | ||||
\(267\) | −1.33689 | + | 0.284165i | −0.0818165 | + | 0.0173906i | ||||
\(268\) | −11.5956 | + | 5.16270i | −0.708315 | + | 0.315362i | ||||
\(269\) | 10.2024 | + | 11.3309i | 0.622049 | + | 0.690856i | 0.969009 | − | 0.247024i | \(-0.0794527\pi\) |
−0.346960 | + | 0.937880i | \(0.612786\pi\) | |||||||
\(270\) | −0.189942 | − | 1.80718i | −0.0115595 | − | 0.109981i | ||||
\(271\) | 11.0514 | − | 8.02930i | 0.671324 | − | 0.487745i | −0.199144 | − | 0.979970i | \(-0.563816\pi\) |
0.870468 | + | 0.492225i | \(0.163816\pi\) | |||||||
\(272\) | −0.0486247 | + | 0.462633i | −0.00294831 | + | 0.0280513i | ||||
\(273\) | −5.22322 | − | 9.04688i | −0.316124 | − | 0.547542i | ||||
\(274\) | 20.6527 | − | 35.7714i | 1.24767 | − | 2.16103i | ||||
\(275\) | 7.99508 | + | 5.80876i | 0.482121 | + | 0.350282i | ||||
\(276\) | −14.9582 | + | 16.6128i | −0.900378 | + | 0.999971i | ||||
\(277\) | 2.94103 | − | 9.05156i | 0.176709 | − | 0.543855i | −0.822998 | − | 0.568044i | \(-0.807700\pi\) |
0.999707 | + | 0.0241888i | \(0.00770030\pi\) | |||||||
\(278\) | −8.22121 | −0.493075 | ||||||||
\(279\) | −5.30035 | − | 1.70477i | −0.317324 | − | 0.102062i | ||||
\(280\) | 9.92825 | 0.593326 | ||||||||
\(281\) | 4.26083 | − | 13.1135i | 0.254180 | − | 0.782286i | −0.739810 | − | 0.672816i | \(-0.765085\pi\) |
0.993990 | − | 0.109470i | \(-0.0349153\pi\) | |||||||
\(282\) | −5.41746 | + | 6.01670i | −0.322605 | + | 0.358289i | ||||
\(283\) | −9.86758 | − | 7.16922i | −0.586567 | − | 0.426166i | 0.254519 | − | 0.967068i | \(-0.418083\pi\) |
−0.841086 | + | 0.540902i | \(0.818083\pi\) | |||||||
\(284\) | −12.2895 | + | 21.2861i | −0.729250 | + | 1.26310i | ||||
\(285\) | −1.74246 | − | 3.01802i | −0.103214 | − | 0.178772i | ||||
\(286\) | −1.23293 | + | 11.7306i | −0.0729049 | + | 0.693643i | ||||
\(287\) | 39.1422 | − | 28.4385i | 2.31049 | − | 1.67867i | ||||
\(288\) | 0.612608 | + | 5.82857i | 0.0360982 | + | 0.343452i | ||||
\(289\) | −6.93684 | − | 7.70414i | −0.408049 | − | 0.453184i | ||||
\(290\) | −13.5833 | + | 6.04768i | −0.797639 | + | 0.355132i | ||||
\(291\) | −0.0644111 | + | 0.0136910i | −0.00377585 | + | 0.000802581i | ||||
\(292\) | −28.5691 | − | 6.07255i | −1.67188 | − | 0.355369i | ||||
\(293\) | −15.5981 | − | 6.94474i | −0.911253 | − | 0.405716i | −0.103088 | − | 0.994672i | \(-0.532872\pi\) |
−0.808165 | + | 0.588956i | \(0.799539\pi\) | |||||||
\(294\) | 9.78592 | + | 30.1180i | 0.570726 | + | 1.75651i | ||||
\(295\) | 1.13334 | + | 3.48808i | 0.0659859 | + | 0.203084i | ||||
\(296\) | −21.7263 | − | 9.67317i | −1.26281 | − | 0.562241i | ||||
\(297\) | −2.21484 | − | 0.470778i | −0.128518 | − | 0.0273173i | ||||
\(298\) | −27.2894 | + | 5.80054i | −1.58083 | + | 0.336016i | ||||
\(299\) | −14.6066 | + | 6.50326i | −0.844719 | + | 0.376093i | ||||
\(300\) | −9.33150 | − | 10.3637i | −0.538755 | − | 0.598348i | ||||
\(301\) | −0.942317 | − | 8.96554i | −0.0543142 | − | 0.516765i | ||||
\(302\) | −1.01253 | + | 0.735646i | −0.0582645 | + | 0.0423317i | ||||
\(303\) | −1.23423 | + | 11.7429i | −0.0709046 | + | 0.674612i | ||||
\(304\) | 0.394772 | + | 0.683765i | 0.0226417 | + | 0.0392166i | ||||
\(305\) | −0.100410 | + | 0.173915i | −0.00574945 | + | 0.00995834i | ||||
\(306\) | 4.74920 | + | 3.45050i | 0.271494 | + | 0.197252i | ||||
\(307\) | −20.1382 | + | 22.3657i | −1.14935 | + | 1.27648i | −0.193998 | + | 0.981002i | \(0.562146\pi\) |
−0.955349 | + | 0.295478i | \(0.904521\pi\) | |||||||
\(308\) | 10.2197 | − | 31.4530i | 0.582322 | − | 1.79220i | ||||
\(309\) | 18.2091 | 1.03588 | ||||||||
\(310\) | 9.61283 | − | 3.15505i | 0.545972 | − | 0.179195i | ||||
\(311\) | 4.97560 | 0.282141 | 0.141070 | − | 0.990000i | \(-0.454946\pi\) | ||||
0.141070 | + | 0.990000i | \(0.454946\pi\) | |||||||
\(312\) | 1.92411 | − | 5.92180i | 0.108931 | − | 0.335256i | ||||
\(313\) | 9.79194 | − | 10.8751i | 0.553473 | − | 0.614694i | −0.399874 | − | 0.916570i | \(-0.630946\pi\) |
0.953347 | + | 0.301876i | \(0.0976128\pi\) | |||||||
\(314\) | 15.6054 | + | 11.3380i | 0.880662 | + | 0.639838i | ||||
\(315\) | −1.82204 | + | 3.15586i | −0.102660 | + | 0.177812i | ||||
\(316\) | −14.0321 | − | 24.3043i | −0.789368 | − | 1.36723i | ||||
\(317\) | −3.33739 | + | 31.7532i | −0.187447 | + | 1.78344i | 0.346633 | + | 0.938001i | \(0.387325\pi\) |
−0.534079 | + | 0.845434i | \(0.679342\pi\) | |||||||
\(318\) | 1.87981 | − | 1.36576i | 0.105414 | − | 0.0765880i | ||||
\(319\) | 1.93669 | + | 18.4264i | 0.108434 | + | 1.03168i | ||||
\(320\) | −6.93328 | − | 7.70019i | −0.387582 | − | 0.430454i | ||||
\(321\) | 5.71321 | − | 2.54368i | 0.318880 | − | 0.141975i | ||||
\(322\) | 71.2971 | − | 15.1547i | 3.97323 | − | 0.844537i | ||||
\(323\) | 11.0122 | + | 2.34071i | 0.612733 | + | 0.130240i | ||||
\(324\) | 2.91906 | + | 1.29965i | 0.162170 | + | 0.0722027i | ||||
\(325\) | −3.08228 | − | 9.48629i | −0.170974 | − | 0.526204i | ||||
\(326\) | 5.43112 | + | 16.7153i | 0.300802 | + | 0.925773i | ||||
\(327\) | −8.86093 | − | 3.94514i | −0.490011 | − | 0.218167i | ||||
\(328\) | 28.2080 | + | 5.99579i | 1.55752 | + | 0.331062i | ||||
\(329\) | 15.8814 | − | 3.37570i | 0.875572 | − | 0.186109i | ||||
\(330\) | 3.75884 | − | 1.67354i | 0.206917 | − | 0.0921255i | ||||
\(331\) | 5.03356 | + | 5.59033i | 0.276669 | + | 0.307272i | 0.865425 | − | 0.501039i | \(-0.167049\pi\) |
−0.588756 | + | 0.808311i | \(0.700382\pi\) | |||||||
\(332\) | 0.923438 | + | 8.78593i | 0.0506802 | + | 0.482190i | ||||
\(333\) | 7.06199 | − | 5.13084i | 0.386995 | − | 0.281168i | ||||
\(334\) | −4.20281 | + | 39.9871i | −0.229968 | + | 2.18800i | ||||
\(335\) | 1.58344 | + | 2.74260i | 0.0865125 | + | 0.149844i | ||||
\(336\) | 0.412802 | − | 0.714994i | 0.0225202 | − | 0.0390061i | ||||
\(337\) | −6.38542 | − | 4.63928i | −0.347836 | − | 0.252717i | 0.400125 | − | 0.916461i | \(-0.368967\pi\) |
−0.747961 | + | 0.663743i | \(0.768967\pi\) | |||||||
\(338\) | −11.8611 | + | 13.1731i | −0.645160 | + | 0.716523i | ||||
\(339\) | −1.28905 | + | 3.96728i | −0.0700114 | + | 0.215473i | ||||
\(340\) | −6.56070 | −0.355804 | ||||||||
\(341\) | −0.0375157 | − | 12.6071i | −0.00203159 | − | 0.682714i | ||||
\(342\) | 9.96361 | 0.538770 | ||||||||
\(343\) | 9.73715 | − | 29.9679i | 0.525757 | − | 1.61811i | ||||
\(344\) | 3.59545 | − | 3.99315i | 0.193853 | − | 0.215296i | ||||
\(345\) | 4.51226 | + | 3.27835i | 0.242932 | + | 0.176500i | ||||
\(346\) | 25.0615 | − | 43.4077i | 1.34731 | − | 2.33361i | ||||
\(347\) | −16.7024 | − | 28.9294i | −0.896632 | − | 1.55301i | −0.831771 | − | 0.555119i | \(-0.812673\pi\) |
−0.0648612 | − | 0.997894i | \(-0.520660\pi\) | |||||||
\(348\) | 2.73298 | − | 26.0026i | 0.146503 | − | 1.39388i | ||||
\(349\) | 6.03663 | − | 4.38587i | 0.323134 | − | 0.234770i | −0.414378 | − | 0.910105i | \(-0.636001\pi\) |
0.737511 | + | 0.675335i | \(0.236001\pi\) | |||||||
\(350\) | 4.75307 | + | 45.2224i | 0.254062 | + | 2.41724i | ||||
\(351\) | 1.52923 | + | 1.69838i | 0.0816243 | + | 0.0906529i | ||||
\(352\) | −12.1231 | + | 5.39757i | −0.646166 | + | 0.287691i | ||||
\(353\) | −3.48905 | + | 0.741620i | −0.185703 | + | 0.0394725i | −0.299825 | − | 0.953994i | \(-0.596928\pi\) |
0.114121 | + | 0.993467i | \(0.463595\pi\) | |||||||
\(354\) | −10.2567 | − | 2.18014i | −0.545139 | − | 0.115873i | ||||
\(355\) | 5.60226 | + | 2.49429i | 0.297337 | + | 0.132383i | ||||
\(356\) | 1.34955 | + | 4.15347i | 0.0715258 | + | 0.220134i | ||||
\(357\) | −3.63786 | − | 11.1962i | −0.192536 | − | 0.592564i | ||||
\(358\) | 17.9781 | + | 8.00437i | 0.950173 | + | 0.423044i | ||||
\(359\) | −23.1016 | − | 4.91039i | −1.21925 | − | 0.259161i | −0.447035 | − | 0.894516i | \(-0.647520\pi\) |
−0.772220 | + | 0.635356i | \(0.780853\pi\) | |||||||
\(360\) | −2.12457 | + | 0.451591i | −0.111975 | + | 0.0238009i | ||||
\(361\) | 0.0989471 | − | 0.0440541i | 0.00520774 | − | 0.00231864i | ||||
\(362\) | 23.8855 | + | 26.5275i | 1.25539 | + | 1.39426i | ||||
\(363\) | 0.613882 | + | 5.84070i | 0.0322204 | + | 0.306557i | ||||
\(364\) | −27.0047 | + | 19.6200i | −1.41543 | + | 1.02837i | ||||
\(365\) | −0.761719 | + | 7.24727i | −0.0398702 | + | 0.379340i | ||||
\(366\) | −0.287079 | − | 0.497236i | −0.0150059 | − | 0.0259909i | ||||
\(367\) | −10.8521 | + | 18.7965i | −0.566477 | + | 0.981167i | 0.430433 | + | 0.902622i | \(0.358361\pi\) |
−0.996911 | + | 0.0785449i | \(0.974973\pi\) | |||||||
\(368\) | −1.02230 | − | 0.742745i | −0.0532911 | − | 0.0387183i | ||||
\(369\) | −7.08260 | + | 7.86602i | −0.368705 | + | 0.409489i | ||||
\(370\) | −4.90160 | + | 15.0856i | −0.254822 | + | 0.784262i | ||||
\(371\) | −4.65968 | −0.241918 | ||||||||
\(372\) | −3.64710 | + | 17.4129i | −0.189093 | + | 0.902816i | ||||
\(373\) | −15.7335 | −0.814648 | −0.407324 | − | 0.913284i | \(-0.633538\pi\) | ||||
−0.407324 | + | 0.913284i | \(0.633538\pi\) | |||||||
\(374\) | −4.10754 | + | 12.6417i | −0.212396 | + | 0.653688i | ||||
\(375\) | −4.99543 | + | 5.54799i | −0.257963 | + | 0.286497i | ||||
\(376\) | 7.82929 | + | 5.68831i | 0.403765 | + | 0.293352i | ||||
\(377\) | 9.35020 | − | 16.1950i | 0.481560 | − | 0.834086i | ||||
\(378\) | −5.20933 | − | 9.02282i | −0.267939 | − | 0.464084i | ||||
\(379\) | 0.674334 | − | 6.41586i | 0.0346382 | − | 0.329560i | −0.963457 | − | 0.267864i | \(-0.913682\pi\) |
0.998095 | − | 0.0616965i | \(-0.0196511\pi\) | |||||||
\(380\) | −9.00870 | + | 6.54520i | −0.462137 | + | 0.335762i | ||||
\(381\) | −2.13481 | − | 20.3113i | −0.109370 | − | 1.04058i | ||||
\(382\) | −13.3825 | − | 14.8628i | −0.684710 | − | 0.760448i | ||||
\(383\) | 23.6292 | − | 10.5204i | 1.20740 | − | 0.537568i | 0.298428 | − | 0.954432i | \(-0.403538\pi\) |
0.908969 | + | 0.416864i | \(0.136871\pi\) | |||||||
\(384\) | 17.5121 | − | 3.72230i | 0.893659 | − | 0.189953i | ||||
\(385\) | −8.07102 | − | 1.71555i | −0.411337 | − | 0.0874324i | ||||
\(386\) | 4.66970 | + | 2.07909i | 0.237682 | + | 0.105823i | ||||
\(387\) | 0.609451 | + | 1.87570i | 0.0309801 | + | 0.0953470i | ||||
\(388\) | 0.0650207 | + | 0.200113i | 0.00330093 | + | 0.0101592i | ||||
\(389\) | −21.3927 | − | 9.52463i | −1.08465 | − | 0.482918i | −0.215015 | − | 0.976611i | \(-0.568980\pi\) |
−0.869636 | + | 0.493693i | \(0.835647\pi\) | |||||||
\(390\) | −4.06212 | − | 0.863430i | −0.205693 | − | 0.0437215i | ||||
\(391\) | −17.6245 | + | 3.74621i | −0.891310 | + | 0.189454i | ||||
\(392\) | 34.5803 | − | 15.3962i | 1.74657 | − | 0.777624i | ||||
\(393\) | 1.57177 | + | 1.74563i | 0.0792852 | + | 0.0880552i | ||||
\(394\) | 1.79393 | + | 17.0681i | 0.0903767 | + | 0.859877i | ||||
\(395\) | −5.66472 | + | 4.11566i | −0.285023 | + | 0.207081i | ||||
\(396\) | −0.756283 | + | 7.19556i | −0.0380047 | + | 0.361590i | ||||
\(397\) | 8.92563 | + | 15.4596i | 0.447964 | + | 0.775897i | 0.998253 | − | 0.0590773i | \(-0.0188158\pi\) |
−0.550289 | + | 0.834974i | \(0.685482\pi\) | |||||||
\(398\) | −6.39095 | + | 11.0695i | −0.320350 | + | 0.554862i | ||||
\(399\) | −16.1650 | − | 11.7445i | −0.809261 | − | 0.587962i | ||||
\(400\) | 0.527478 | − | 0.585823i | 0.0263739 | − | 0.0292912i | ||||
\(401\) | 2.83024 | − | 8.71058i | 0.141335 | − | 0.434986i | −0.855186 | − | 0.518321i | \(-0.826557\pi\) |
0.996522 | + | 0.0833353i | \(0.0265573\pi\) | |||||||
\(402\) | −9.05433 | −0.451589 | ||||||||
\(403\) | −7.44864 | + | 10.3166i | −0.371043 | + | 0.513906i | ||||
\(404\) | 37.7289 | 1.87708 | ||||||||
\(405\) | 0.246356 | − | 0.758205i | 0.0122415 | − | 0.0376755i | ||||
\(406\) | −57.0442 | + | 63.3541i | −2.83106 | + | 3.14421i | ||||
\(407\) | 15.9906 | + | 11.6178i | 0.792624 | + | 0.575875i | ||||
\(408\) | 3.50843 | − | 6.07678i | 0.173693 | − | 0.300845i | ||||
\(409\) | 18.2182 | + | 31.5548i | 0.900830 | + | 1.56028i | 0.826419 | + | 0.563055i | \(0.190374\pi\) |
0.0744102 | + | 0.997228i | \(0.476293\pi\) | |||||||
\(410\) | 2.01049 | − | 19.1286i | 0.0992912 | − | 0.944692i | ||||
\(411\) | 14.6608 | − | 10.6517i | 0.723164 | − | 0.525410i | ||||
\(412\) | −6.08185 | − | 57.8650i | −0.299631 | − | 2.85080i | ||||
\(413\) | 14.0707 | + | 15.6271i | 0.692375 | + | 0.768960i | ||||
\(414\) | −14.5677 | + | 6.48597i | −0.715965 | + | 0.318768i | ||||
\(415\) | 2.15598 | − | 0.458268i | 0.105833 | − | 0.0224955i | ||||
\(416\) | 13.1013 | + | 2.78477i | 0.642344 | + | 0.136534i | ||||
\(417\) | −3.29504 | − | 1.46704i | −0.161359 | − | 0.0718415i | ||||
\(418\) | 6.97166 | + | 21.4566i | 0.340995 | + | 1.04948i | ||||
\(419\) | −5.84627 | − | 17.9930i | −0.285609 | − | 0.879015i | −0.986215 | − | 0.165467i | \(-0.947087\pi\) |
0.700606 | − | 0.713548i | \(-0.252913\pi\) | |||||||
\(420\) | 10.6373 | + | 4.73601i | 0.519045 | + | 0.231094i | ||||
\(421\) | −6.01043 | − | 1.27756i | −0.292931 | − | 0.0622643i | 0.0591024 | − | 0.998252i | \(-0.481176\pi\) |
−0.352033 | + | 0.935988i | \(0.614509\pi\) | |||||||
\(422\) | 6.04321 | − | 1.28452i | 0.294179 | − | 0.0625296i | ||||
\(423\) | −3.24496 | + | 1.44475i | −0.157775 | + | 0.0702461i | ||||
\(424\) | −1.85843 | − | 2.06400i | −0.0902534 | − | 0.100237i | ||||
\(425\) | −1.17495 | − | 11.1789i | −0.0569935 | − | 0.542257i | ||||
\(426\) | −14.1846 | + | 10.3057i | −0.687244 | + | 0.499312i | ||||
\(427\) | −0.120356 | + | 1.14511i | −0.00582442 | + | 0.0554157i | ||||
\(428\) | −9.99155 | − | 17.3059i | −0.482960 | − | 0.836511i | ||||
\(429\) | −2.58743 | + | 4.48157i | −0.124922 | + | 0.216372i | ||||
\(430\) | −2.89935 | − | 2.10650i | −0.139819 | − | 0.101584i | ||||
\(431\) | −23.9890 | + | 26.6425i | −1.15551 | + | 1.28333i | −0.202878 | + | 0.979204i | \(0.565029\pi\) |
−0.952633 | + | 0.304121i | \(0.901637\pi\) | |||||||
\(432\) | −0.0558146 | + | 0.171780i | −0.00268538 | + | 0.00826475i | ||||
\(433\) | 19.1352 | 0.919578 | 0.459789 | − | 0.888028i | \(-0.347925\pi\) | ||||
0.459789 | + | 0.888028i | \(0.347925\pi\) | |||||||
\(434\) | 42.9931 | − | 38.9435i | 2.06374 | − | 1.86935i | ||||
\(435\) | −6.52333 | −0.312770 | ||||||||
\(436\) | −9.57733 | + | 29.4760i | −0.458671 | + | 1.41164i | ||||
\(437\) | −20.4634 | + | 22.7269i | −0.978897 | + | 1.08718i | ||||
\(438\) | −16.8556 | − | 12.2463i | −0.805390 | − | 0.585150i | ||||
\(439\) | 11.6441 | − | 20.1682i | 0.555743 | − | 0.962574i | −0.442103 | − | 0.896964i | \(-0.645767\pi\) |
0.997845 | − | 0.0656099i | \(-0.0208993\pi\) | |||||||
\(440\) | −2.45909 | − | 4.25926i | −0.117232 | − | 0.203052i | ||||
\(441\) | −1.45227 | + | 13.8174i | −0.0691558 | + | 0.657974i | ||||
\(442\) | 10.8538 | − | 7.88576i | 0.516263 | − | 0.375087i | ||||
\(443\) | 1.04224 | + | 9.91621i | 0.0495181 | + | 0.471133i | 0.990980 | + | 0.134013i | \(0.0427863\pi\) |
−0.941461 | + | 0.337121i | \(0.890547\pi\) | |||||||
\(444\) | −18.6635 | − | 20.7279i | −0.885731 | − | 0.983704i | ||||
\(445\) | 0.995412 | − | 0.443186i | 0.0471871 | − | 0.0210090i | ||||
\(446\) | 14.0061 | − | 2.97710i | 0.663210 | − | 0.140970i | ||||
\(447\) | −11.9726 | − | 2.54485i | −0.566284 | − | 0.120367i | ||||
\(448\) | −54.2730 | − | 24.1639i | −2.56416 | − | 1.14164i | ||||
\(449\) | −11.1274 | − | 34.2467i | −0.525136 | − | 1.61620i | −0.764046 | − | 0.645161i | \(-0.776790\pi\) |
0.238910 | − | 0.971042i | \(-0.423210\pi\) | |||||||
\(450\) | −3.07409 | − | 9.46106i | −0.144914 | − | 0.445999i | ||||
\(451\) | −21.8952 | − | 9.74838i | −1.03101 | − | 0.459033i | ||||
\(452\) | 13.0378 | + | 2.77127i | 0.613246 | + | 0.130349i | ||||
\(453\) | −0.537092 | + | 0.114162i | −0.0252348 | + | 0.00536382i | ||||
\(454\) | 20.0767 | − | 8.93870i | 0.942244 | − | 0.419514i | ||||
\(455\) | 5.57262 | + | 6.18902i | 0.261249 | + | 0.290146i | ||||
\(456\) | −1.24489 | − | 11.8444i | −0.0582974 | − | 0.554663i | ||||
\(457\) | −4.02430 | + | 2.92383i | −0.188249 | + | 0.136771i | −0.677918 | − | 0.735137i | \(-0.737118\pi\) |
0.489669 | + | 0.871908i | \(0.337118\pi\) | |||||||
\(458\) | 0.848182 | − | 8.06991i | 0.0396329 | − | 0.377082i | ||||
\(459\) | 1.28774 | + | 2.23043i | 0.0601064 | + | 0.104107i | ||||
\(460\) | 8.91085 | − | 15.4340i | 0.415471 | − | 0.719616i | ||||
\(461\) | −1.94226 | − | 1.41114i | −0.0904602 | − | 0.0657232i | 0.541636 | − | 0.840613i | \(-0.317805\pi\) |
−0.632096 | + | 0.774890i | \(0.717805\pi\) | |||||||
\(462\) | 15.7856 | − | 17.5316i | 0.734411 | − | 0.815646i | ||||
\(463\) | −0.662128 | + | 2.03782i | −0.0307717 | + | 0.0947055i | −0.965263 | − | 0.261281i | \(-0.915855\pi\) |
0.934491 | + | 0.355986i | \(0.115855\pi\) | |||||||
\(464\) | 1.47793 | 0.0686113 | ||||||||
\(465\) | 4.41580 | + | 0.450838i | 0.204778 | + | 0.0209071i | ||||
\(466\) | 5.10387 | 0.236432 | ||||||||
\(467\) | 1.79375 | − | 5.52060i | 0.0830049 | − | 0.255463i | −0.900938 | − | 0.433949i | \(-0.857120\pi\) |
0.983942 | + | 0.178486i | \(0.0571199\pi\) | |||||||
\(468\) | 4.88636 | − | 5.42686i | 0.225872 | − | 0.250856i | ||||
\(469\) | 14.6898 | + | 10.6727i | 0.678310 | + | 0.492821i | ||||
\(470\) | 3.22727 | − | 5.58980i | 0.148863 | − | 0.257838i | ||||
\(471\) | 4.23137 | + | 7.32894i | 0.194971 | + | 0.337700i | ||||
\(472\) | −1.31014 | + | 12.4652i | −0.0603043 | + | 0.573757i | ||||
\(473\) | −3.61286 | + | 2.62490i | −0.166119 | + | 0.120693i | ||||
\(474\) | −2.09257 | − | 19.9095i | −0.0961150 | − | 0.914474i | ||||
\(475\) | −12.7659 | − | 14.1779i | −0.585738 | − | 0.650528i | ||||
\(476\) | −34.3642 | + | 15.2999i | −1.57508 | + | 0.701271i | ||||
\(477\) | 0.997135 | − | 0.211948i | 0.0456557 | − | 0.00970442i | ||||
\(478\) | 33.3355 | + | 7.08567i | 1.52473 | + | 0.324091i | ||||
\(479\) | −9.45267 | − | 4.20860i | −0.431903 | − | 0.192296i | 0.179257 | − | 0.983802i | \(-0.442630\pi\) |
−0.611161 | + | 0.791506i | \(0.709297\pi\) | |||||||
\(480\) | −1.44381 | − | 4.44360i | −0.0659007 | − | 0.202822i | ||||
\(481\) | −6.16473 | − | 18.9731i | −0.281087 | − | 0.865098i | ||||
\(482\) | −1.93707 | − | 0.862439i | −0.0882311 | − | 0.0392830i | ||||
\(483\) | 31.2800 | + | 6.64876i | 1.42329 | + | 0.302529i | ||||
\(484\) | 18.3556 | − | 3.90159i | 0.834343 | − | 0.177345i | ||||
\(485\) | 0.0479587 | − | 0.0213526i | 0.00217769 | − | 0.000969571i | ||||
\(486\) | 1.52516 | + | 1.69387i | 0.0691828 | + | 0.0768353i | ||||
\(487\) | −2.90167 | − | 27.6076i | −0.131487 | − | 1.25102i | −0.838927 | − | 0.544244i | \(-0.816816\pi\) |
0.707440 | − | 0.706774i | \(-0.249850\pi\) | |||||||
\(488\) | −0.555225 | + | 0.403395i | −0.0251339 | + | 0.0182608i | ||||
\(489\) | −0.806001 | + | 7.66859i | −0.0364486 | + | 0.346786i | ||||
\(490\) | −12.6232 | − | 21.8640i | −0.570258 | − | 0.987716i | ||||
\(491\) | −8.79259 | + | 15.2292i | −0.396804 | + | 0.687285i | −0.993330 | − | 0.115309i | \(-0.963214\pi\) |
0.596526 | + | 0.802594i | \(0.296547\pi\) | |||||||
\(492\) | 27.3623 | + | 19.8799i | 1.23359 | + | 0.896253i | ||||
\(493\) | 14.1012 | − | 15.6610i | 0.635087 | − | 0.705336i | ||||
\(494\) | 7.03657 | − | 21.6563i | 0.316590 | − | 0.974365i | ||||
\(495\) | 1.80517 | 0.0811363 | ||||||||
\(496\) | −1.00045 | − | 0.102142i | −0.0449214 | − | 0.00458632i | ||||
\(497\) | 35.1608 | 1.57718 | ||||||||
\(498\) | −1.94737 | + | 5.99339i | −0.0872637 | + | 0.268570i | ||||
\(499\) | 24.6905 | − | 27.4215i | 1.10530 | − | 1.22756i | 0.133672 | − | 0.991026i | \(-0.457323\pi\) |
0.971624 | − | 0.236531i | \(-0.0760104\pi\) | |||||||
\(500\) | 19.2989 | + | 14.0215i | 0.863073 | + | 0.627059i | ||||
\(501\) | −8.82002 | + | 15.2767i | −0.394049 | + | 0.682514i | ||||
\(502\) | −16.6015 | − | 28.7546i | −0.740961 | − | 1.28338i | ||||
\(503\) | −0.596021 | + | 5.67076i | −0.0265753 | + | 0.252847i | 0.973166 | + | 0.230104i | \(0.0739066\pi\) |
−0.999741 | + | 0.0227430i | \(0.992760\pi\) | |||||||
\(504\) | −10.0751 | + | 7.31999i | −0.448781 | + | 0.326058i | ||||
\(505\) | −0.983958 | − | 9.36173i | −0.0437855 | − | 0.416592i | ||||
\(506\) | −24.1607 | − | 26.8332i | −1.07407 | − | 1.19288i | ||||
\(507\) | −7.10460 | + | 3.16317i | −0.315526 | + | 0.140481i | ||||
\(508\) | −63.8324 | + | 13.5680i | −2.83211 | + | 0.601983i | ||||
\(509\) | −11.8744 | − | 2.52398i | −0.526323 | − | 0.111873i | −0.0629159 | − | 0.998019i | \(-0.520040\pi\) |
−0.463407 | + | 0.886145i | \(0.653373\pi\) | |||||||
\(510\) | −4.27537 | − | 1.90352i | −0.189316 | − | 0.0842891i | ||||
\(511\) | 12.9112 | + | 39.7367i | 0.571160 | + | 1.75785i | ||||
\(512\) | 0.631244 | + | 1.94277i | 0.0278973 | + | 0.0858591i | ||||
\(513\) | 3.99339 | + | 1.77797i | 0.176312 | + | 0.0784993i | ||||
\(514\) | −7.47162 | − | 1.58814i | −0.329559 | − | 0.0700500i | ||||
\(515\) | −14.1995 | + | 3.01820i | −0.625705 | + | 0.132998i | ||||
\(516\) | 5.75704 | − | 2.56320i | 0.253439 | − | 0.112839i | ||||
\(517\) | −5.38180 | − | 5.97709i | −0.236691 | − | 0.262872i | ||||
\(518\) | 9.50640 | + | 90.4473i | 0.417687 | + | 3.97403i | ||||
\(519\) | 17.7905 | − | 12.9256i | 0.780917 | − | 0.567369i | ||||
\(520\) | −0.518875 | + | 4.93677i | −0.0227542 | + | 0.216492i | ||||
\(521\) | 8.96419 | + | 15.5264i | 0.392728 | + | 0.680225i | 0.992808 | − | 0.119715i | \(-0.0381980\pi\) |
−0.600080 | + | 0.799940i | \(0.704865\pi\) | |||||||
\(522\) | 9.32534 | − | 16.1520i | 0.408159 | − | 0.706952i | ||||
\(523\) | 34.5751 | + | 25.1203i | 1.51186 | + | 1.09843i | 0.965341 | + | 0.260990i | \(0.0840490\pi\) |
0.546523 | + | 0.837444i | \(0.315951\pi\) | |||||||
\(524\) | 5.02229 | − | 5.57781i | 0.219400 | − | 0.243668i | ||||
\(525\) | −6.16476 | + | 18.9732i | −0.269052 | + | 0.828058i | ||||
\(526\) | 42.7428 | 1.86368 | ||||||||
\(527\) | −10.6278 | + | 9.62675i | −0.462955 | + | 0.419348i | ||||
\(528\) | −0.408981 | −0.0177986 | ||||||||
\(529\) | 8.01756 | − | 24.6755i | 0.348590 | − | 1.07285i | ||||
\(530\) | −1.23950 | + | 1.37661i | −0.0538405 | + | 0.0597959i | ||||
\(531\) | −3.72183 | − | 2.70407i | −0.161514 | − | 0.117347i | ||||
\(532\) | −31.9227 | + | 55.2918i | −1.38403 | + | 2.39720i | ||||
\(533\) | 12.0952 | + | 20.9495i | 0.523902 | + | 0.907425i | ||||
\(534\) | −0.325636 | + | 3.09822i | −0.0140917 | + | 0.134073i | ||||
\(535\) | −4.03356 | + | 2.93055i | −0.174386 | + | 0.126699i | ||||
\(536\) | 1.13128 | + | 10.7634i | 0.0488640 | + | 0.464910i | ||||
\(537\) | 5.77722 | + | 6.41626i | 0.249306 | + | 0.276882i | ||||
\(538\) | 31.7487 | − | 14.1354i | 1.36878 | − | 0.609422i | ||||
\(539\) | −30.7720 | + | 6.54078i | −1.32544 | + | 0.281731i | ||||
\(540\) | −2.49171 | − | 0.529630i | −0.107226 | − | 0.0227916i | ||||
\(541\) | 12.7300 | + | 5.66776i | 0.547305 | + | 0.243676i | 0.661712 | − | 0.749758i | \(-0.269830\pi\) |
−0.114407 | + | 0.993434i | \(0.536497\pi\) | |||||||
\(542\) | −9.62159 | − | 29.6122i | −0.413283 | − | 1.27195i | ||||
\(543\) | 4.83950 | + | 14.8944i | 0.207683 | + | 0.639181i | ||||
\(544\) | 13.7891 | + | 6.13929i | 0.591202 | + | 0.263220i | ||||
\(545\) | 7.56370 | + | 1.60771i | 0.323993 | + | 0.0688669i | ||||
\(546\) | −23.2905 | + | 4.95054i | −0.996740 | + | 0.211864i | ||||
\(547\) | 32.0565 | − | 14.2725i | 1.37064 | − | 0.610248i | 0.416369 | − | 0.909196i | \(-0.363302\pi\) |
0.954269 | + | 0.298948i | \(0.0966357\pi\) | |||||||
\(548\) | −38.7457 | − | 43.0315i | −1.65514 | − | 1.83821i | ||||
\(549\) | −0.0263306 | − | 0.250519i | −0.00112376 | − | 0.0106919i | ||||
\(550\) | 18.2234 | − | 13.2400i | 0.777047 | − | 0.564557i | ||||
\(551\) | 3.73882 | − | 35.5725i | 0.159279 | − | 1.51544i | ||||
\(552\) | 9.53041 | + | 16.5072i | 0.405641 | + | 0.702591i | ||||
\(553\) | −20.0732 | + | 34.7678i | −0.853599 | + | 1.47848i | ||||
\(554\) | −17.5501 | − | 12.7509i | −0.745633 | − | 0.541734i | ||||
\(555\) | −4.65652 | + | 5.17158i | −0.197658 | + | 0.219522i | ||||
\(556\) | −3.56144 | + | 10.9610i | −0.151039 | + | 0.464849i | ||||
\(557\) | −43.7230 | −1.85260 | −0.926301 | − | 0.376784i | \(-0.877030\pi\) | ||||
−0.926301 | + | 0.376784i | \(0.877030\pi\) | |||||||
\(558\) | −7.42884 | + | 10.2892i | −0.314488 | + | 0.435575i | ||||
\(559\) | 4.50732 | 0.190639 | ||||||||
\(560\) | −0.203392 | + | 0.625977i | −0.00859489 | + | 0.0264524i | ||||
\(561\) | −3.90216 | + | 4.33379i | −0.164749 | + | 0.182973i | ||||
\(562\) | −25.4259 | − | 18.4730i | −1.07252 | − | 0.779235i | ||||
\(563\) | 8.80229 | − | 15.2460i | 0.370972 | − | 0.642543i | −0.618743 | − | 0.785593i | \(-0.712358\pi\) |
0.989715 | + | 0.143051i | \(0.0456912\pi\) | |||||||
\(564\) | 5.67495 | + | 9.82930i | 0.238958 | + | 0.413888i | ||||
\(565\) | 0.347618 | − | 3.30736i | 0.0146244 | − | 0.139142i | ||||
\(566\) | −22.4914 | + | 16.3410i | −0.945384 | + | 0.686862i | ||||
\(567\) | −0.477794 | − | 4.54591i | −0.0200655 | − | 0.190910i | ||||
\(568\) | 14.0233 | + | 15.5744i | 0.588403 | + | 0.653488i | ||||
\(569\) | −14.8350 | + | 6.60498i | −0.621916 | + | 0.276895i | −0.693407 | − | 0.720546i | \(-0.743891\pi\) |
0.0714905 | + | 0.997441i | \(0.477224\pi\) | |||||||
\(570\) | −7.76966 | + | 1.65149i | −0.325435 | + | 0.0691734i | ||||
\(571\) | 3.82722 | + | 0.813500i | 0.160164 | + | 0.0340439i | 0.287296 | − | 0.957842i | \(-0.407244\pi\) |
−0.127132 | + | 0.991886i | \(0.540577\pi\) | |||||||
\(572\) | 15.1057 | + | 6.72551i | 0.631603 | + | 0.281208i | ||||
\(573\) | −2.71147 | − | 8.34503i | −0.113273 | − | 0.348619i | ||||
\(574\) | −34.0781 | − | 104.882i | −1.42239 | − | 4.37768i | ||||
\(575\) | 27.8942 | + | 12.4193i | 1.16327 | + | 0.517920i | ||||
\(576\) | 12.7131 | + | 2.70226i | 0.529713 | + | 0.112594i | ||||
\(577\) | −0.546751 | + | 0.116216i | −0.0227615 | + | 0.00483811i | −0.219278 | − | 0.975662i | \(-0.570370\pi\) |
0.196517 | + | 0.980500i | \(0.437037\pi\) | |||||||
\(578\) | −21.5867 | + | 9.61102i | −0.897888 | + | 0.399766i | ||||
\(579\) | 1.50060 | + | 1.66658i | 0.0623627 | + | 0.0692608i | ||||
\(580\) | 2.17880 | + | 20.7299i | 0.0904697 | + | 0.860761i | ||||
\(581\) | 10.2241 | − | 7.42823i | 0.424166 | − | 0.308175i | ||||
\(582\) | −0.0156891 | + | 0.149271i | −0.000650332 | + | 0.00618750i | ||||
\(583\) | 1.15414 | + | 1.99902i | 0.0477994 | + | 0.0827910i | ||||
\(584\) | −12.4519 | + | 21.5673i | −0.515263 | + | 0.892462i | ||||
\(585\) | −1.47401 | − | 1.07093i | −0.0609428 | − | 0.0442775i | ||||
\(586\) | −26.0411 | + | 28.9216i | −1.07575 | + | 1.19474i | ||||
\(587\) | 5.25895 | − | 16.1854i | 0.217060 | − | 0.668042i | −0.781941 | − | 0.623353i | \(-0.785770\pi\) |
0.999001 | − | 0.0446895i | \(-0.0142298\pi\) | |||||||
\(588\) | 44.3942 | 1.83079 | ||||||||
\(589\) | −4.98937 | + | 23.8215i | −0.205584 | + | 0.981548i | ||||
\(590\) | 8.35960 | 0.344159 | ||||||||
\(591\) | −2.32673 | + | 7.16095i | −0.0957090 | + | 0.294562i | ||||
\(592\) | 1.05498 | − | 1.17168i | 0.0433596 | − | 0.0481557i | ||||
\(593\) | −4.55171 | − | 3.30701i | −0.186916 | − | 0.135803i | 0.490392 | − | 0.871502i | \(-0.336854\pi\) |
−0.677308 | + | 0.735699i | \(0.736854\pi\) | |||||||
\(594\) | −2.58055 | + | 4.46965i | −0.105881 | + | 0.183392i | ||||
\(595\) | 4.69260 | + | 8.12783i | 0.192378 | + | 0.333208i | ||||
\(596\) | −4.08819 | + | 38.8966i | −0.167459 | + | 1.59327i | ||||
\(597\) | −4.53678 | + | 3.29616i | −0.185678 | + | 0.134903i | ||||
\(598\) | 3.80941 | + | 36.2441i | 0.155778 | + | 1.48213i | ||||
\(599\) | 23.7618 | + | 26.3901i | 0.970881 | + | 1.07827i | 0.996905 | + | 0.0786108i | \(0.0250484\pi\) |
−0.0260249 | + | 0.999661i | \(0.508285\pi\) | |||||||
\(600\) | −10.8628 | + | 4.83645i | −0.443474 | + | 0.197447i | ||||
\(601\) | −33.3120 | + | 7.08069i | −1.35883 | + | 0.288828i | −0.828986 | − | 0.559270i | \(-0.811082\pi\) |
−0.529841 | + | 0.848097i | \(0.677748\pi\) | |||||||
\(602\) | −20.0989 | − | 4.27215i | −0.819170 | − | 0.174120i | ||||
\(603\) | −3.62895 | − | 1.61571i | −0.147782 | − | 0.0657969i | ||||
\(604\) | 0.542175 | + | 1.66864i | 0.0220608 | + | 0.0678961i | ||||
\(605\) | −1.44682 | − | 4.45284i | −0.0588214 | − | 0.181034i | ||||
\(606\) | 24.5865 | + | 10.9466i | 0.998759 | + | 0.444676i | ||||
\(607\) | 15.8914 | + | 3.37783i | 0.645013 | + | 0.137102i | 0.518792 | − | 0.854900i | \(-0.326382\pi\) |
0.126221 | + | 0.992002i | \(0.459715\pi\) | |||||||
\(608\) | 25.0590 | − | 5.32645i | 1.01628 | − | 0.216016i | ||||
\(609\) | −34.1685 | + | 15.2128i | −1.38458 | + | 0.616453i | ||||
\(610\) | 0.306283 | + | 0.340162i | 0.0124010 | + | 0.0137727i | ||||
\(611\) | 0.848547 | + | 8.07338i | 0.0343285 | + | 0.326614i | ||||
\(612\) | 6.65775 | − | 4.83714i | 0.269124 | − | 0.195530i | ||||
\(613\) | 2.71534 | − | 25.8347i | 0.109672 | − | 1.04346i | −0.791848 | − | 0.610718i | \(-0.790881\pi\) |
0.901520 | − | 0.432738i | \(-0.142452\pi\) | |||||||
\(614\) | 34.2993 | + | 59.4082i | 1.38421 | + | 2.39752i | ||||
\(615\) | 4.21922 | − | 7.30791i | 0.170135 | − | 0.294683i | ||||
\(616\) | −22.8132 | − | 16.5748i | −0.919171 | − | 0.667817i | ||||
\(617\) | 22.1162 | − | 24.5625i | 0.890363 | − | 0.988849i | −0.109623 | − | 0.993973i | \(-0.534964\pi\) |
0.999987 | + | 0.00512437i | \(0.00163114\pi\) | |||||||
\(618\) | 12.8256 | − | 39.4730i | 0.515920 | − | 1.58784i | ||||
\(619\) | −31.5958 | −1.26994 | −0.634970 | − | 0.772536i | \(-0.718988\pi\) | ||||
−0.634970 | + | 0.772536i | \(0.718988\pi\) | |||||||
\(620\) | −0.0422055 | − | 14.1831i | −0.00169501 | − | 0.569609i | ||||
\(621\) | −6.99610 | −0.280744 | ||||||||
\(622\) | 3.50456 | − | 10.7859i | 0.140520 | − | 0.432477i | ||||
\(623\) | 4.18032 | − | 4.64271i | 0.167481 | − | 0.186006i | ||||
\(624\) | 0.333953 | + | 0.242631i | 0.0133688 | + | 0.00971301i | ||||
\(625\) | −7.93522 | + | 13.7442i | −0.317409 | + | 0.549768i | ||||
\(626\) | −16.6776 | − | 28.8864i | −0.666571 | − | 1.15453i | ||||
\(627\) | −1.03462 | + | 9.84380i | −0.0413189 | + | 0.393123i | ||||
\(628\) | 21.8767 | − | 15.8943i | 0.872974 | − | 0.634253i | ||||
\(629\) | −2.34996 | − | 22.3584i | −0.0936992 | − | 0.891488i | ||||
\(630\) | 5.55781 | + | 6.17257i | 0.221428 | + | 0.245921i | ||||
\(631\) | 14.5383 | − | 6.47286i | 0.578759 | − | 0.257680i | −0.0964116 | − | 0.995342i | \(-0.530737\pi\) |
0.675171 | + | 0.737661i | \(0.264070\pi\) | |||||||
\(632\) | −23.4062 | + | 4.97514i | −0.931048 | + | 0.197900i | ||||
\(633\) | 2.65132 | + | 0.563555i | 0.105380 | + | 0.0223993i | ||||
\(634\) | 66.4827 | + | 29.6000i | 2.64036 | + | 1.17557i | ||||
\(635\) | 5.03138 | + | 15.4850i | 0.199664 | + | 0.614503i | ||||
\(636\) | −1.00657 | − | 3.09791i | −0.0399132 | − | 0.122840i | ||||
\(637\) | 29.0072 | + | 12.9148i | 1.14931 | + | 0.511704i | ||||
\(638\) | 41.3082 | + | 8.78033i | 1.63541 | + | 0.347617i | ||||
\(639\) | −7.52414 | + | 1.59931i | −0.297650 | + | 0.0632676i | ||||
\(640\) | −13.0390 | + | 5.80533i | −0.515411 | + | 0.229476i | ||||
\(641\) | −4.53972 | − | 5.04187i | −0.179308 | − | 0.199142i | 0.646790 | − | 0.762668i | \(-0.276111\pi\) |
−0.826098 | + | 0.563526i | \(0.809444\pi\) | |||||||
\(642\) | −1.49001 | − | 14.1765i | −0.0588061 | − | 0.559503i | ||||
\(643\) | −10.9460 | + | 7.95276i | −0.431670 | + | 0.313626i | −0.782316 | − | 0.622882i | \(-0.785962\pi\) |
0.350647 | + | 0.936508i | \(0.385962\pi\) | |||||||
\(644\) | 10.6809 | − | 101.622i | 0.420888 | − | 4.00448i | ||||
\(645\) | −0.786152 | − | 1.36166i | −0.0309547 | − | 0.0536151i | ||||
\(646\) | 12.8305 | − | 22.2231i | 0.504810 | − | 0.874356i | ||||
\(647\) | −18.0763 | − | 13.1332i | −0.710653 | − | 0.516320i | 0.172731 | − | 0.984969i | \(-0.444741\pi\) |
−0.883384 | + | 0.468649i | \(0.844741\pi\) | |||||||
\(648\) | 1.82304 | − | 2.02469i | 0.0716158 | − | 0.0795375i | ||||
\(649\) | 3.21898 | − | 9.90701i | 0.126356 | − | 0.388884i | ||||
\(650\) | −22.7350 | −0.891741 | ||||||||
\(651\) | 24.1808 | − | 7.93646i | 0.947722 | − | 0.311054i | ||||
\(652\) | 24.6385 | 0.964918 | ||||||||
\(653\) | −1.53687 | + | 4.72998i | −0.0601422 | + | 0.185099i | −0.976614 | − | 0.215001i | \(-0.931024\pi\) |
0.916472 | + | 0.400100i | \(0.131024\pi\) | |||||||
\(654\) | −14.7933 | + | 16.4297i | −0.578465 | + | 0.642450i | ||||
\(655\) | −1.51501 | − | 1.10072i | −0.0591964 | − | 0.0430087i | ||||
\(656\) | −0.955910 | + | 1.65569i | −0.0373220 | + | 0.0646436i | ||||
\(657\) | −4.57035 | − | 7.91608i | −0.178306 | − | 0.308836i | ||||
\(658\) | 3.86835 | − | 36.8049i | 0.150804 | − | 1.43480i | ||||
\(659\) | −15.7824 | + | 11.4666i | −0.614797 | + | 0.446676i | −0.851100 | − | 0.525003i | \(-0.824064\pi\) |
0.236304 | + | 0.971679i | \(0.424064\pi\) | |||||||
\(660\) | −0.602928 | − | 5.73647i | −0.0234689 | − | 0.223292i | ||||
\(661\) | −30.2738 | − | 33.6224i | −1.17751 | − | 1.30776i | −0.941892 | − | 0.335916i | \(-0.890954\pi\) |
−0.235621 | − | 0.971845i | \(-0.575713\pi\) | |||||||
\(662\) | 15.6639 | − | 6.97402i | 0.608795 | − | 0.271053i | ||||
\(663\) | 5.75736 | − | 1.22376i | 0.223597 | − | 0.0475271i | ||||
\(664\) | 7.36801 | + | 1.56612i | 0.285934 | + | 0.0607772i | ||||
\(665\) | 14.5522 | + | 6.47905i | 0.564309 | + | 0.251247i | ||||
\(666\) | −6.14834 | − | 18.9226i | −0.238243 | − | 0.733237i | ||||
\(667\) | 17.6900 | + | 54.4442i | 0.684959 | + | 2.10809i | ||||
\(668\) | 51.4923 | + | 22.9259i | 1.99230 | + | 0.887028i | ||||
\(669\) | 6.14487 | + | 1.30613i | 0.237574 | + | 0.0504980i | ||||
\(670\) | 7.06060 | − | 1.50078i | 0.272775 | − | 0.0579801i | ||||
\(671\) | 0.521067 | − | 0.231994i | 0.0201156 | − | 0.00895602i | ||||
\(672\) | −17.9252 | − | 19.9080i | −0.691481 | − | 0.767967i | ||||
\(673\) | 2.48181 | + | 23.6129i | 0.0956669 | + | 0.910210i | 0.932115 | + | 0.362163i | \(0.117962\pi\) |
−0.836448 | + | 0.548047i | \(0.815372\pi\) | |||||||
\(674\) | −14.5544 | + | 10.5744i | −0.560615 | + | 0.407311i | ||||
\(675\) | 0.456208 | − | 4.34052i | 0.0175594 | − | 0.167067i | ||||
\(676\) | 12.4249 | + | 21.5205i | 0.477880 | + | 0.827713i | ||||
\(677\) | 10.3651 | − | 17.9529i | 0.398365 | − | 0.689988i | −0.595160 | − | 0.803607i | \(-0.702911\pi\) |
0.993524 | + | 0.113620i | \(0.0362446\pi\) | |||||||
\(678\) | 7.69219 | + | 5.58870i | 0.295417 | + | 0.214633i | ||||
\(679\) | 0.201407 | − | 0.223685i | 0.00772927 | − | 0.00858423i | ||||
\(680\) | −1.72864 | + | 5.32022i | −0.0662905 | + | 0.204021i | ||||
\(681\) | 9.64174 | 0.369472 | ||||||||
\(682\) | −27.3557 | − | 8.79850i | −1.04750 | − | 0.336912i | ||||
\(683\) | −36.1171 | −1.38198 | −0.690991 | − | 0.722863i | \(-0.742826\pi\) | ||||
−0.690991 | + | 0.722863i | \(0.742826\pi\) | |||||||
\(684\) | 4.31625 | − | 13.2840i | 0.165036 | − | 0.507928i | ||||
\(685\) | −9.66700 | + | 10.7363i | −0.369357 | + | 0.410213i | ||||
\(686\) | −58.1049 | − | 42.2157i | −2.21846 | − | 1.61180i | ||||
\(687\) | 1.77999 | − | 3.08304i | 0.0679110 | − | 0.117625i | ||||
\(688\) | 0.178111 | + | 0.308498i | 0.00679043 | + | 0.0117614i | ||||
\(689\) | 0.243527 | − | 2.31700i | 0.00927762 | − | 0.0882707i | ||||
\(690\) | 10.2849 | − | 7.47241i | 0.391539 | − | 0.284470i | ||||
\(691\) | −2.85500 | − | 27.1635i | −0.108609 | − | 1.03335i | −0.904082 | − | 0.427359i | \(-0.859444\pi\) |
0.795472 | − | 0.605990i | \(-0.207223\pi\) | |||||||
\(692\) | −47.0169 | − | 52.2176i | −1.78732 | − | 1.98502i | ||||
\(693\) | 9.45526 | − | 4.20975i | 0.359176 | − | 0.159915i | ||||
\(694\) | −74.4765 | + | 15.8305i | −2.82709 | + | 0.600916i | ||||
\(695\) | 2.81264 | + | 0.597846i | 0.106690 | + | 0.0226776i | ||||
\(696\) | −20.3660 | − | 9.06751i | −0.771970 | − | 0.343703i | ||||
\(697\) | 8.42405 | + | 25.9266i | 0.319084 | + | 0.982039i | ||||
\(698\) | −5.25564 | − | 16.1752i | −0.198929 | − | 0.612240i | ||||
\(699\) | 2.04561 | + | 0.910766i | 0.0773723 | + | 0.0344483i | ||||
\(700\) | 62.3521 | + | 13.2534i | 2.35669 | + | 0.500930i | ||||
\(701\) | −9.24866 | + | 1.96586i | −0.349317 | + | 0.0742496i | −0.379229 | − | 0.925303i | \(-0.623811\pi\) |
0.0299119 | + | 0.999553i | \(0.490477\pi\) | |||||||
\(702\) | 4.75880 | − | 2.11876i | 0.179609 | − | 0.0799673i | ||||
\(703\) | −25.5324 | − | 28.3566i | −0.962973 | − | 1.06949i | ||||
\(704\) | 3.07623 | + | 29.2684i | 0.115940 | + | 1.10309i | ||||
\(705\) | 2.29096 | − | 1.66448i | 0.0862825 | − | 0.0626879i | ||||
\(706\) | −0.849851 | + | 8.08579i | −0.0319846 | + | 0.304313i | ||||
\(707\) | −26.9859 | − | 46.7410i | −1.01491 | − | 1.75788i | ||||
\(708\) | −7.34991 | + | 12.7304i | −0.276226 | + | 0.478438i | ||||
\(709\) | 17.1142 | + | 12.4342i | 0.642739 | + | 0.466977i | 0.860790 | − | 0.508960i | \(-0.169970\pi\) |
−0.218051 | + | 0.975937i | \(0.569970\pi\) | |||||||
\(710\) | 9.35297 | − | 10.3875i | 0.351011 | − | 0.389837i | ||||
\(711\) | 2.71408 | − | 8.35308i | 0.101786 | − | 0.313265i | ||||
\(712\) | 3.72373 | 0.139553 | ||||||||
\(713\) | −8.21205 | − | 38.0771i | −0.307544 | − | 1.42600i | ||||
\(714\) | −26.8330 | −1.00420 | ||||||||
\(715\) | 1.27486 | − | 3.92361i | 0.0476770 | − | 0.146735i | ||||
\(716\) | 18.4600 | − | 20.5019i | 0.689883 | − | 0.766193i | ||||
\(717\) | 12.0963 | + | 8.78851i | 0.451746 | + | 0.328213i | ||||
\(718\) | −26.9162 | + | 46.6201i | −1.00450 | + | 1.73985i | ||||
\(719\) | 2.51335 | + | 4.35324i | 0.0937320 | + | 0.162349i | 0.909079 | − | 0.416624i | \(-0.136787\pi\) |
−0.815347 | + | 0.578973i | \(0.803454\pi\) | |||||||
\(720\) | 0.0150515 | − | 0.143206i | 0.000560937 | − | 0.00533696i | ||||
\(721\) | −67.3368 | + | 48.9230i | −2.50775 | + | 1.82199i | ||||
\(722\) | −0.0258055 | − | 0.245523i | −0.000960383 | − | 0.00913743i | ||||
\(723\) | −0.622473 | − | 0.691326i | −0.0231500 | − | 0.0257107i | ||||
\(724\) | 45.7152 | − | 20.3537i | 1.69899 | − | 0.756440i | ||||
\(725\) | −34.9318 | + | 7.42499i | −1.29734 | + | 0.275757i | ||||
\(726\) | 13.0936 | + | 2.78314i | 0.485951 | + | 0.103292i | ||||
\(727\) | −45.8048 | − | 20.3936i | −1.69880 | − | 0.756356i | −0.999122 | − | 0.0419028i | \(-0.986658\pi\) |
−0.699683 | − | 0.714454i | \(-0.746675\pi\) | |||||||
\(728\) | 8.79501 | + | 27.0683i | 0.325965 | + | 1.00322i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | 15.1739 | + | 6.75584i | 0.561610 | + | 0.250045i | ||||
\(731\) | 4.96841 | + | 1.05607i | 0.183763 | + | 0.0390601i | ||||
\(732\) | −0.787305 | + | 0.167347i | −0.0290996 | + | 0.00618532i | ||||
\(733\) | 12.6915 | − | 5.65061i | 0.468770 | − | 0.208710i | −0.158737 | − | 0.987321i | \(-0.550742\pi\) |
0.627507 | + | 0.778611i | \(0.284075\pi\) | |||||||
\(734\) | 33.1026 | + | 36.7642i | 1.22184 | + | 1.35699i | ||||
\(735\) | −1.15779 | − | 11.0156i | −0.0427056 | − | 0.406317i | ||||
\(736\) | −33.1712 | + | 24.1003i | −1.22271 | + | 0.888349i | ||||
\(737\) | 0.940205 | − | 8.94546i | 0.0346329 | − | 0.329510i | ||||
\(738\) | 12.0631 | + | 20.8938i | 0.444047 | + | 0.769112i | ||||
\(739\) | 18.8073 | − | 32.5753i | 0.691839 | − | 1.19830i | −0.279395 | − | 0.960176i | \(-0.590134\pi\) |
0.971235 | − | 0.238125i | \(-0.0765327\pi\) | |||||||
\(740\) | 17.9896 | + | 13.0702i | 0.661310 | + | 0.480469i | ||||
\(741\) | 6.68473 | − | 7.42415i | 0.245570 | − | 0.272733i | ||||
\(742\) | −3.28204 | + | 10.1011i | −0.120487 | + | 0.370822i | ||||
\(743\) | 37.5735 | 1.37844 | 0.689219 | − | 0.724553i | \(-0.257954\pi\) | ||||
0.689219 | + | 0.724553i | \(0.257954\pi\) | |||||||
\(744\) | 13.1595 | + | 7.54554i | 0.482452 | + | 0.276633i | ||||
\(745\) | 9.75809 | 0.357509 | ||||||||
\(746\) | −11.0819 | + | 34.1064i | −0.405735 | + | 1.24873i | ||||
\(747\) | −1.85000 | + | 2.05463i | −0.0676879 | + | 0.0751750i | ||||
\(748\) | 15.0753 | + | 10.9528i | 0.551206 | + | 0.400475i | ||||
\(749\) | −14.2931 | + | 24.7564i | −0.522258 | + | 0.904578i | ||||
\(750\) | 8.50820 | + | 14.7366i | 0.310676 | + | 0.538106i | ||||
\(751\) | −1.36433 | + | 12.9807i | −0.0497849 | + | 0.473672i | 0.941018 | + | 0.338357i | \(0.109871\pi\) |
−0.990803 | + | 0.135315i | \(0.956795\pi\) | |||||||
\(752\) | −0.519042 | + | 0.377106i | −0.0189275 | + | 0.0137516i | ||||
\(753\) | −1.52267 | − | 14.4872i | −0.0554892 | − | 0.527945i | ||||
\(754\) | −28.5212 | − | 31.6760i | −1.03868 | − | 1.15357i | ||||
\(755\) | 0.399903 | − | 0.178048i | 0.0145540 | − | 0.00647985i | ||||
\(756\) | −14.2864 | + | 3.03667i | −0.519592 | + | 0.110443i | ||||
\(757\) | 6.14241 | + | 1.30561i | 0.223250 | + | 0.0474532i | 0.318178 | − | 0.948031i | \(-0.396929\pi\) |
−0.0949286 | + | 0.995484i | \(0.530262\pi\) | |||||||
\(758\) | −13.4331 | − | 5.98080i | −0.487912 | − | 0.217232i | ||||
\(759\) | −4.89526 | − | 15.0661i | −0.177687 | − | 0.546863i | ||||
\(760\) | 2.93400 | + | 9.02992i | 0.106427 | + | 0.327550i | ||||
\(761\) | 17.5388 | + | 7.80876i | 0.635779 | + | 0.283067i | 0.699207 | − | 0.714919i | \(-0.253537\pi\) |
−0.0634276 | + | 0.997986i | \(0.520203\pi\) | |||||||
\(762\) | −45.5338 | − | 9.67852i | −1.64952 | − | 0.350616i | ||||
\(763\) | 43.3670 | − | 9.21795i | 1.56999 | − | 0.333712i | ||||
\(764\) | −25.6133 | + | 11.4038i | −0.926655 | + | 0.412573i | ||||
\(765\) | −1.37388 | − | 1.52585i | −0.0496727 | − | 0.0551671i | ||||
\(766\) | −6.16254 | − | 58.6326i | −0.222661 | − | 2.11848i | ||||
\(767\) | −8.50587 | + | 6.17988i | −0.307129 | + | 0.223142i | ||||
\(768\) | 1.54839 | − | 14.7320i | 0.0558727 | − | 0.531594i | ||||
\(769\) | −8.75467 | − | 15.1635i | −0.315701 | − | 0.546811i | 0.663885 | − | 0.747835i | \(-0.268906\pi\) |
−0.979586 | + | 0.201024i | \(0.935573\pi\) | |||||||
\(770\) | −9.40372 | + | 16.2877i | −0.338887 | + | 0.586969i | ||||
\(771\) | −2.71121 | − | 1.96981i | −0.0976417 | − | 0.0709409i | ||||
\(772\) | 4.79487 | − | 5.32525i | 0.172571 | − | 0.191660i | ||||
\(773\) | −8.17429 | + | 25.1579i | −0.294009 | + | 0.904866i | 0.689544 | + | 0.724244i | \(0.257811\pi\) |
−0.983553 | + | 0.180622i | \(0.942189\pi\) | |||||||
\(774\) | 4.49533 | 0.161581 | ||||||||
\(775\) | 24.1594 | − | 2.61196i | 0.867830 | − | 0.0938244i | ||||
\(776\) | 0.179408 | 0.00644038 | ||||||||
\(777\) | −12.3299 | + | 37.9474i | −0.442331 | + | 1.36136i | ||||
\(778\) | −35.7151 | + | 39.6656i | −1.28045 | + | 1.42208i | ||||
\(779\) | 37.4326 | + | 27.1964i | 1.34116 | + | 0.974412i | ||||
\(780\) | −2.91089 | + | 5.04180i | −0.104226 | + | 0.180526i | ||||
\(781\) | −8.70883 | − | 15.0841i | −0.311626 | − | 0.539753i | ||||
\(782\) | −4.29292 | + | 40.8444i | −0.153515 | + | 1.46059i | ||||
\(783\) | 6.61983 | − | 4.80959i | 0.236573 | − | 0.171881i | ||||
\(784\) | 0.262309 | + | 2.49570i | 0.00936818 | + | 0.0891323i | ||||
\(785\) | −4.51442 | − | 5.01377i | −0.161127 | − | 0.178949i | ||||
\(786\) | 4.89118 | − | 2.17769i | 0.174463 | − | 0.0776758i | ||||
\(787\) | 5.20019 | − | 1.10533i | 0.185367 | − | 0.0394009i | −0.114293 | − | 0.993447i | \(-0.536460\pi\) |
0.299660 | + | 0.954046i | \(0.403127\pi\) | |||||||
\(788\) | 23.5332 | + | 5.00214i | 0.838337 | + | 0.178194i | ||||
\(789\) | 17.1312 | + | 7.62730i | 0.609887 | + | 0.271539i | ||||
\(790\) | 4.93184 | + | 15.1786i | 0.175467 | + | 0.540032i | ||||
\(791\) | −5.89217 | − | 18.1342i | −0.209501 | − | 0.644779i | ||||
\(792\) | 5.63577 | + | 2.50921i | 0.200258 | + | 0.0891607i | ||||
\(793\) | −0.563109 | − | 0.119692i | −0.0199966 | − | 0.00425040i | ||||
\(794\) | 39.7996 | − | 8.45967i | 1.41244 | − | 0.300222i | ||||
\(795\) | −0.742438 | + | 0.330555i | −0.0263316 | + | 0.0117236i | ||||
\(796\) | 11.9898 | + | 13.3161i | 0.424969 | + | 0.471976i | ||||
\(797\) | 0.864143 | + | 8.22177i | 0.0306095 | + | 0.291230i | 0.999109 | + | 0.0422131i | \(0.0134408\pi\) |
−0.968499 | + | 0.249017i | \(0.919892\pi\) | |||||||
\(798\) | −36.8452 | + | 26.7696i | −1.30431 | + | 0.947633i | ||||
\(799\) | −0.956248 | + | 9.09810i | −0.0338296 | + | 0.321868i | ||||
\(800\) | −12.7893 | − | 22.1517i | −0.452169 | − | 0.783180i | ||||
\(801\) | −0.683380 | + | 1.18365i | −0.0241460 | + | 0.0418222i | ||||
\(802\) | −16.8890 | − | 12.2706i | −0.596372 | − | 0.433289i | ||||
\(803\) | 13.8493 | − | 15.3812i | 0.488731 | − | 0.542791i | ||||
\(804\) | −3.92235 | + | 12.0717i | −0.138331 | + | 0.425738i | ||||
\(805\) | −25.4943 | −0.898555 | ||||||||
\(806\) | 17.1175 | + | 23.4134i | 0.602938 | + | 0.824701i | ||||
\(807\) | 15.2472 | 0.536727 | ||||||||
\(808\) | 9.94099 | − | 30.5952i | 0.349723 | − | 1.07634i | ||||
\(809\) | −6.33303 | + | 7.03354i | −0.222657 | + | 0.247286i | −0.844116 | − | 0.536161i | \(-0.819874\pi\) |
0.621458 | + | 0.783447i | \(0.286541\pi\) | |||||||
\(810\) | −1.47009 | − | 1.06808i | −0.0516537 | − | 0.0375286i | ||||
\(811\) | −10.2253 | + | 17.7108i | −0.359060 | + | 0.621910i | −0.987804 | − | 0.155702i | \(-0.950236\pi\) |
0.628744 | + | 0.777612i | \(0.283569\pi\) | |||||||
\(812\) | 59.7555 | + | 103.500i | 2.09701 | + | 3.63212i | ||||
\(813\) | 1.42789 | − | 13.5854i | 0.0500781 | − | 0.476462i | ||||
\(814\) | 36.4477 | − | 26.4808i | 1.27749 | − | 0.928152i | ||||
\(815\) | −0.642564 | − | 6.11359i | −0.0225080 | − | 0.214150i | ||||
\(816\) | 0.311267 | + | 0.345697i | 0.0108965 | + | 0.0121018i | ||||
\(817\) | 7.87585 | − | 3.50655i | 0.275541 | − | 0.122679i | ||||
\(818\) | 81.2352 | − | 17.2671i | 2.84032 | − | 0.603729i | ||||
\(819\) | −10.2182 | − | 2.17194i | −0.357051 | − | 0.0758936i | ||||
\(820\) | −24.6323 | − | 10.9670i | −0.860198 | − | 0.382985i | ||||
\(821\) | −14.2309 | − | 43.7981i | −0.496660 | − | 1.52856i | −0.814353 | − | 0.580369i | \(-0.802908\pi\) |
0.317693 | − | 0.948194i | \(-0.397092\pi\) | |||||||
\(822\) | −12.7640 | − | 39.2837i | −0.445197 | − | 1.37018i | ||||
\(823\) | −2.31682 | − | 1.03151i | −0.0807592 | − | 0.0359563i | 0.365960 | − | 0.930631i | \(-0.380741\pi\) |
−0.446719 | + | 0.894674i | \(0.647408\pi\) | |||||||
\(824\) | −48.5265 | − | 10.3146i | −1.69050 | − | 0.359327i | ||||
\(825\) | 9.66651 | − | 2.05468i | 0.336545 | − | 0.0715347i | ||||
\(826\) | 43.7866 | − | 19.4950i | 1.52353 | − | 0.678319i | ||||
\(827\) | −29.1206 | − | 32.3417i | −1.01262 | − | 1.12463i | −0.992177 | − | 0.124841i | \(-0.960158\pi\) |
−0.0204461 | − | 0.999791i | \(-0.506509\pi\) | |||||||
\(828\) | 2.33670 | + | 22.2322i | 0.0812060 | + | 0.772623i | ||||
\(829\) | 20.5250 | − | 14.9123i | 0.712863 | − | 0.517926i | −0.171233 | − | 0.985231i | \(-0.554775\pi\) |
0.884096 | + | 0.467305i | \(0.154775\pi\) | |||||||
\(830\) | 0.525147 | − | 4.99644i | 0.0182281 | − | 0.173429i | ||||
\(831\) | −4.75868 | − | 8.24228i | −0.165077 | − | 0.285922i | ||||
\(832\) | 14.8518 | − | 25.7241i | 0.514894 | − | 0.891823i | ||||
\(833\) | 28.9486 | + | 21.0324i | 1.00301 | + | 0.728730i | ||||
\(834\) | −5.50106 | + | 6.10955i | −0.190486 | + | 0.211556i | ||||
\(835\) | 4.34573 | − | 13.3748i | 0.150390 | − | 0.462853i | ||||
\(836\) | 31.6272 | 1.09385 | ||||||||
\(837\) | −4.81352 | + | 2.79822i | −0.166380 | + | 0.0967206i | ||||
\(838\) | −43.1224 | −1.48964 | ||||||||
\(839\) | −8.53245 | + | 26.2602i | −0.294573 | + | 0.906602i | 0.688792 | + | 0.724959i | \(0.258141\pi\) |
−0.983365 | + | 0.181643i | \(0.941859\pi\) | |||||||
\(840\) | 6.64329 | − | 7.37812i | 0.229215 | − | 0.254569i | ||||
\(841\) | −30.7056 | − | 22.3089i | −1.05881 | − | 0.769274i | ||||
\(842\) | −7.00288 | + | 12.1294i | −0.241335 | + | 0.418005i | ||||
\(843\) | −6.89417 | − | 11.9411i | −0.237448 | − | 0.411272i | ||||
\(844\) | 0.905326 | − | 8.61360i | 0.0311626 | − | 0.296492i | ||||
\(845\) | 5.01589 | − | 3.64425i | 0.172552 | − | 0.125366i | ||||
\(846\) | 0.846290 | + | 8.05191i | 0.0290961 | + | 0.276831i | ||||
\(847\) | −17.9625 | − | 19.9494i | −0.617200 | − | 0.685470i | ||||
\(848\) | 0.168207 | − | 0.0748908i | 0.00577627 | − | 0.00257176i | ||||
\(849\) | −11.9305 | + | 2.53590i | −0.409453 | + | 0.0870318i | ||||
\(850\) | −25.0608 | − | 5.32684i | −0.859578 | − | 0.182709i | ||||
\(851\) | 55.7899 | + | 24.8393i | 1.91245 | + | 0.851479i | ||||
\(852\) | 7.59535 | + | 23.3761i | 0.260212 | + | 0.800851i | ||||
\(853\) | 11.0375 | + | 33.9700i | 0.377917 | + | 1.16311i | 0.941489 | + | 0.337043i | \(0.109427\pi\) |
−0.563572 | + | 0.826067i | \(0.690573\pi\) | |||||||
\(854\) | 2.39755 | + | 1.06746i | 0.0820425 | + | 0.0365277i | ||||
\(855\) | −3.40876 | − | 0.724554i | −0.116577 | − | 0.0247792i | ||||
\(856\) | −16.6663 | + | 3.54254i | −0.569644 | + | 0.121081i | ||||
\(857\) | 23.1301 | − | 10.2982i | 0.790108 | − | 0.351779i | 0.0283146 | − | 0.999599i | \(-0.490986\pi\) |
0.761793 | + | 0.647820i | \(0.224319\pi\) | |||||||
\(858\) | 7.89252 | + | 8.76553i | 0.269446 | + | 0.299250i | ||||
\(859\) | −2.97861 | − | 28.3396i | −0.101629 | − | 0.966934i | −0.919914 | − | 0.392121i | \(-0.871742\pi\) |
0.818285 | − | 0.574813i | \(-0.194925\pi\) | |||||||
\(860\) | −4.06450 | + | 2.95303i | −0.138598 | + | 0.100698i | ||||
\(861\) | 5.05734 | − | 48.1174i | 0.172354 | − | 1.63984i | ||||
\(862\) | 40.8580 | + | 70.7682i | 1.39163 | + | 2.41037i | ||||
\(863\) | 2.40701 | − | 4.16906i | 0.0819355 | − | 0.141916i | −0.822146 | − | 0.569277i | \(-0.807223\pi\) |
0.904081 | + | 0.427361i | \(0.140557\pi\) | |||||||
\(864\) | 4.74139 | + | 3.44482i | 0.161305 | + | 0.117195i | ||||
\(865\) | −11.7307 | + | 13.0282i | −0.398854 | + | 0.442972i | ||||
\(866\) | 13.4778 | − | 41.4805i | 0.457996 | − | 1.40957i | ||||
\(867\) | −10.3669 | −0.352080 | ||||||||
\(868\) | −33.2969 | − | 74.1912i | −1.13017 | − | 2.51821i | ||||
\(869\) | 19.8874 | 0.674633 | ||||||||
\(870\) | −4.59471 | + | 14.1410i | −0.155775 | + | 0.479426i | ||||
\(871\) | −6.07469 | + | 6.74662i | −0.205833 | + | 0.228601i | ||||
\(872\) | 21.3793 | + | 15.5329i | 0.723993 | + | 0.526012i | ||||
\(873\) | −0.0329250 | + | 0.0570279i | −0.00111434 | + | 0.00193010i | ||||
\(874\) | 34.8532 | + | 60.3675i | 1.17893 | + | 2.04196i | ||||
\(875\) | 3.56700 | − | 33.9377i | 0.120587 | − | 1.14730i | ||||
\(876\) | −23.6293 | + | 17.1677i | −0.798359 | + | 0.580042i | ||||
\(877\) | −1.28910 | − | 12.2650i | −0.0435299 | − | 0.414159i | −0.994489 | − | 0.104842i | \(-0.966566\pi\) |
0.950959 | − | 0.309317i | \(-0.100100\pi\) | |||||||
\(878\) | −35.5183 | − | 39.4471i | −1.19869 | − | 1.33127i | ||||
\(879\) | −15.5981 | + | 6.94474i | −0.526112 | + | 0.234240i | ||||
\(880\) | 0.318924 | − | 0.0677894i | 0.0107509 | − | 0.00228518i | ||||
\(881\) | 31.2620 | + | 6.64494i | 1.05324 | + | 0.223874i | 0.701828 | − | 0.712346i | \(-0.252367\pi\) |
0.351415 | + | 0.936220i | \(0.385701\pi\) | |||||||
\(882\) | 28.9301 | + | 12.8805i | 0.974126 | + | 0.433709i | ||||
\(883\) | −4.01391 | − | 12.3535i | −0.135079 | − | 0.415729i | 0.860524 | − | 0.509411i | \(-0.170137\pi\) |
−0.995602 | + | 0.0936812i | \(0.970137\pi\) | |||||||
\(884\) | −5.81185 | − | 17.8870i | −0.195474 | − | 0.601606i | ||||
\(885\) | 3.35050 | + | 1.49174i | 0.112626 | + | 0.0501443i | ||||
\(886\) | 22.2301 | + | 4.72515i | 0.746835 | + | 0.158745i | ||||
\(887\) | −35.6625 | + | 7.58030i | −1.19743 | + | 0.254522i | −0.763129 | − | 0.646246i | \(-0.776338\pi\) |
−0.434301 | + | 0.900768i | \(0.643005\pi\) | |||||||
\(888\) | −21.7263 | + | 9.67317i | −0.729086 | + | 0.324610i | ||||
\(889\) | 62.4656 | + | 69.3751i | 2.09503 | + | 2.32677i | ||||
\(890\) | −0.259605 | − | 2.46998i | −0.00870198 | − | 0.0827938i | ||||
\(891\) | −1.83187 | + | 1.33093i | −0.0613700 | + | 0.0445879i | ||||
\(892\) | 2.09824 | − | 19.9634i | 0.0702544 | − | 0.668426i | ||||
\(893\) | 7.76355 | + | 13.4469i | 0.259797 | + | 0.449982i | ||||
\(894\) | −13.9495 | + | 24.1613i | −0.466542 | + | 0.808075i | ||||
\(895\) | −5.56861 | − | 4.04583i | −0.186138 | − | 0.135237i | ||||
\(896\) | −54.7583 | + | 60.8153i | −1.82935 | + | 2.03170i | ||||
\(897\) | −4.94083 | + | 15.2063i | −0.164970 | + | 0.507724i | ||||
\(898\) | −82.0764 | −2.73893 | ||||||||
\(899\) | 33.9472 | + | 30.3837i | 1.13220 | + | 1.01335i | ||||
\(900\) | −13.9457 | −0.464857 | ||||||||
\(901\) | 0.811314 | − | 2.49697i | 0.0270288 | − | 0.0831861i | ||||
\(902\) | −36.5541 | + | 40.5974i | −1.21712 | + | 1.35175i | ||||
\(903\) | −7.29323 | − | 5.29884i | −0.242704 | − | 0.176334i | ||||
\(904\) | 5.68254 | − | 9.84244i | 0.188998 | − | 0.327355i | ||||
\(905\) | −6.24264 | − | 10.8126i | −0.207512 | − | 0.359422i | ||||
\(906\) | −0.130823 | + | 1.24470i | −0.00434631 | + | 0.0413524i | ||||
\(907\) | −3.01894 | + | 2.19339i | −0.100242 | + | 0.0728304i | −0.636777 | − | 0.771048i | \(-0.719733\pi\) |
0.536535 | + | 0.843878i | \(0.319733\pi\) | |||||||
\(908\) | −3.22035 | − | 30.6396i | −0.106871 | − | 1.01681i | ||||
\(909\) | 7.90082 | + | 8.77475i | 0.262054 | + | 0.291040i | ||||
\(910\) | 17.3414 | − | 7.72090i | 0.574862 | − | 0.255945i | ||||
\(911\) | 20.6527 | − | 4.38986i | 0.684253 | − | 0.145443i | 0.147348 | − | 0.989085i | \(-0.452926\pi\) |
0.536906 | + | 0.843642i | \(0.319593\pi\) | |||||||
\(912\) | 0.772291 | + | 0.164156i | 0.0255731 | + | 0.00543573i | ||||
\(913\) | −5.71910 | − | 2.54631i | −0.189275 | − | 0.0842705i | ||||
\(914\) | 3.50365 | + | 10.7831i | 0.115891 | + | 0.356674i | ||||
\(915\) | 0.0620567 | + | 0.190991i | 0.00205153 | + | 0.00631397i | ||||
\(916\) | −10.3918 | − | 4.62674i | −0.343355 | − | 0.152872i | ||||
\(917\) | −10.5024 | − | 2.23235i | −0.346820 | − | 0.0737188i | ||||
\(918\) | 5.74205 | − | 1.22051i | 0.189516 | − | 0.0402829i | ||||
\(919\) | 14.2973 | − | 6.36558i | 0.471626 | − | 0.209981i | −0.157140 | − | 0.987576i | \(-0.550227\pi\) |
0.628765 | + | 0.777595i | \(0.283561\pi\) | |||||||
\(920\) | −10.1679 | − | 11.2926i | −0.335227 | − | 0.372307i | ||||
\(921\) | 3.14590 | + | 29.9312i | 0.103661 | + | 0.986267i | ||||
\(922\) | −4.42704 | + | 3.21644i | −0.145797 | + | 0.105928i | ||||
\(923\) | −1.83759 | + | 17.4835i | −0.0604851 | + | 0.575477i | ||||
\(924\) | −16.5358 | − | 28.6409i | −0.543989 | − | 0.942217i | ||||
\(925\) | −19.0488 | + | 32.9935i | −0.626320 | + | 1.08482i | ||||
\(926\) | 3.95114 | + | 2.87067i | 0.129843 | + | 0.0943362i | ||||
\(927\) | 12.1843 | − | 13.5320i | 0.400184 | − | 0.444449i | ||||
\(928\) | 14.8190 | − | 45.6082i | 0.486458 | − | 1.49716i | ||||
\(929\) | −55.1450 | −1.80925 | −0.904624 | − | 0.426211i | \(-0.859848\pi\) | ||||
−0.904624 | + | 0.426211i | \(0.859848\pi\) | |||||||
\(930\) | 4.08758 | − | 9.25487i | 0.134037 | − | 0.303479i | ||||
\(931\) | 60.7330 | 1.99044 | ||||||||
\(932\) | 2.21100 | − | 6.80476i | 0.0724237 | − | 0.222897i | ||||
\(933\) | 3.32933 | − | 3.69759i | 0.108997 | − | 0.121054i | ||||
\(934\) | −10.7039 | − | 7.77685i | −0.350243 | − | 0.254466i | ||||
\(935\) | 2.32458 | − | 4.02629i | 0.0760220 | − | 0.131674i | ||||
\(936\) | −3.11328 | − | 5.39235i | −0.101761 | − | 0.176255i | ||||
\(937\) | 1.53783 | − | 14.6315i | 0.0502388 | − | 0.477990i | −0.940259 | − | 0.340460i | \(-0.889417\pi\) |
0.990498 | − | 0.137530i | \(-0.0439163\pi\) | |||||||
\(938\) | 33.4827 | − | 24.3266i | 1.09325 | − | 0.794292i | ||||
\(939\) | −1.52965 | − | 14.5537i | −0.0499183 | − | 0.474941i | ||||
\(940\) | −6.05457 | − | 6.72428i | −0.197478 | − | 0.219322i | ||||
\(941\) | 39.1925 | − | 17.4496i | 1.27764 | − | 0.568842i | 0.348063 | − | 0.937471i | \(-0.386840\pi\) |
0.929576 | + | 0.368630i | \(0.120173\pi\) | |||||||
\(942\) | 18.8678 | − | 4.01047i | 0.614746 | − | 0.130668i | ||||
\(943\) | −72.4339 | − | 15.3963i | −2.35877 | − | 0.501373i | ||||
\(944\) | −0.759092 | − | 0.337970i | −0.0247064 | − | 0.0110000i | ||||
\(945\) | 1.12608 | + | 3.46572i | 0.0366314 | + | 0.112740i | ||||
\(946\) | 3.14544 | + | 9.68067i | 0.102267 | + | 0.314746i | ||||
\(947\) | −8.81007 | − | 3.92249i | −0.286289 | − | 0.127464i | 0.258568 | − | 0.965993i | \(-0.416749\pi\) |
−0.544857 | + | 0.838529i | \(0.683416\pi\) | |||||||
\(948\) | −27.4510 | − | 5.83488i | −0.891566 | − | 0.189508i | ||||
\(949\) | −20.4337 | + | 4.34331i | −0.663305 | + | 0.140990i | ||||
\(950\) | −39.7260 | + | 17.6872i | −1.28888 | + | 0.573847i | ||||
\(951\) | 21.3640 | + | 23.7272i | 0.692777 | + | 0.769406i | ||||
\(952\) | 3.35261 | + | 31.8980i | 0.108659 | + | 1.03382i | ||||
\(953\) | −2.89137 | + | 2.10071i | −0.0936608 | + | 0.0680485i | −0.633630 | − | 0.773636i | \(-0.718436\pi\) |
0.539969 | + | 0.841685i | \(0.318436\pi\) | |||||||
\(954\) | 0.242879 | − | 2.31084i | 0.00786350 | − | 0.0748162i | ||||
\(955\) | 3.49762 | + | 6.05805i | 0.113180 | + | 0.196034i | ||||
\(956\) | 23.8880 | − | 41.3752i | 0.772592 | − | 1.33817i | ||||
\(957\) | 14.9894 | + | 10.8904i | 0.484538 | + | 0.352038i | ||||
\(958\) | −15.7812 | + | 17.5268i | −0.509868 | + | 0.566266i | ||||
\(959\) | −25.5970 | + | 78.7794i | −0.826570 | + | 2.54392i | ||||
\(960\) | −10.3616 | −0.334420 | ||||||||
\(961\) | −20.8798 | − | 22.9136i | −0.673542 | − | 0.739149i | ||||
\(962\) | −45.4713 | −1.46605 | ||||||||
\(963\) | 1.93256 | − | 5.94780i | 0.0622758 | − | 0.191665i | ||||
\(964\) | −1.98899 | + | 2.20900i | −0.0640612 | + | 0.0711471i | ||||
\(965\) | −1.44641 | − | 1.05088i | −0.0465616 | − | 0.0338290i | ||||
\(966\) | 36.4450 | − | 63.1246i | 1.17260 | − | 2.03100i | ||||
\(967\) | −9.22296 | − | 15.9746i | −0.296591 | − | 0.513710i | 0.678763 | − | 0.734357i | \(-0.262516\pi\) |
−0.975354 | + | 0.220647i | \(0.929183\pi\) | |||||||
\(968\) | 1.67252 | − | 15.9129i | 0.0537567 | − | 0.511461i | ||||
\(969\) | 9.10806 | − | 6.61739i | 0.292593 | − | 0.212581i | ||||
\(970\) | −0.0125077 | − | 0.119003i | −0.000401598 | − | 0.00382095i | ||||
\(971\) | 29.3554 | + | 32.6025i | 0.942059 | + | 1.04626i | 0.998853 | + | 0.0478770i | \(0.0152456\pi\) |
−0.0567938 | + | 0.998386i | \(0.518088\pi\) | |||||||
\(972\) | 2.91906 | − | 1.29965i | 0.0936289 | − | 0.0416863i | ||||
\(973\) | 16.1265 | − | 3.42780i | 0.516992 | − | 0.109890i | ||||
\(974\) | −61.8905 | − | 13.1552i | −1.98310 | − | 0.421521i | ||||
\(975\) | −9.11213 | − | 4.05698i | −0.291822 | − | 0.129927i | ||||
\(976\) | −0.0140596 | − | 0.0432711i | −0.000450037 | − | 0.00138507i | ||||
\(977\) | −14.8680 | − | 45.7590i | −0.475670 | − | 1.46396i | −0.845052 | − | 0.534684i | \(-0.820431\pi\) |
0.369382 | − | 0.929278i | \(-0.379569\pi\) | |||||||
\(978\) | 16.0560 | + | 7.14859i | 0.513414 | + | 0.228587i | ||||
\(979\) | −3.02715 | − | 0.643441i | −0.0967481 | − | 0.0205644i | ||||
\(980\) | −34.6187 | + | 7.35844i | −1.10585 | + | 0.235057i | ||||
\(981\) | −8.86093 | + | 3.94514i | −0.282908 | + | 0.125959i | ||||
\(982\) | 26.8203 | + | 29.7869i | 0.855870 | + | 0.950540i | ||||
\(983\) | 0.919652 | + | 8.74990i | 0.0293323 | + | 0.279078i | 0.999350 | + | 0.0360448i | \(0.0114759\pi\) |
−0.970018 | + | 0.243034i | \(0.921857\pi\) | |||||||
\(984\) | 23.3306 | − | 16.9506i | 0.743751 | − | 0.540367i | ||||
\(985\) | 0.627450 | − | 5.96979i | 0.0199922 | − | 0.190213i | ||||
\(986\) | −24.0172 | − | 41.5990i | −0.764862 | − | 1.32478i | ||||
\(987\) | 8.11812 | − | 14.0610i | 0.258403 | − | 0.447566i | ||||
\(988\) | −25.8252 | − | 18.7631i | −0.821609 | − | 0.596934i | ||||
\(989\) | −9.23258 | + | 10.2538i | −0.293579 | + | 0.326052i | ||||
\(990\) | 1.27147 | − | 3.91318i | 0.0404099 | − | 0.124369i | ||||
\(991\) | 9.56580 | 0.303868 | 0.151934 | − | 0.988391i | \(-0.451450\pi\) | ||||
0.151934 | + | 0.988391i | \(0.451450\pi\) | |||||||
\(992\) | −13.1834 | + | 29.8491i | −0.418574 | + | 0.947711i | ||||
\(993\) | 7.52253 | 0.238720 | ||||||||
\(994\) | 24.7655 | − | 76.2203i | 0.785513 | − | 2.41756i | ||||
\(995\) | 2.99145 | − | 3.32234i | 0.0948353 | − | 0.105325i | ||||
\(996\) | 7.14712 | + | 5.19268i | 0.226465 | + | 0.164536i | ||||
\(997\) | −11.7010 | + | 20.2668i | −0.370576 | + | 0.641856i | −0.989654 | − | 0.143473i | \(-0.954173\pi\) |
0.619079 | + | 0.785329i | \(0.287506\pi\) | |||||||
\(998\) | −42.0527 | − | 72.8374i | −1.33115 | − | 2.30563i | ||||
\(999\) | 0.912440 | − | 8.68128i | 0.0288683 | − | 0.274664i |
(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 | 93.2.m.b.76.3 | ✓ | 24 | |
3.2 | odd | 2 | 279.2.y.d.262.1 | 24 | |||
31.12 | odd | 30 | 2883.2.a.s.1.10 | 12 | |||
31.19 | even | 15 | 2883.2.a.t.1.10 | 12 | |||
31.20 | even | 15 | inner | 93.2.m.b.82.3 | yes | 24 | |
93.20 | odd | 30 | 279.2.y.d.82.1 | 24 | |||
93.50 | odd | 30 | 8649.2.a.bk.1.3 | 12 | |||
93.74 | even | 30 | 8649.2.a.bl.1.3 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
93.2.m.b.76.3 | ✓ | 24 | 1.1 | even | 1 | trivial | |
93.2.m.b.82.3 | yes | 24 | 31.20 | even | 15 | inner | |
279.2.y.d.82.1 | 24 | 93.20 | odd | 30 | |||
279.2.y.d.262.1 | 24 | 3.2 | odd | 2 | |||
2883.2.a.s.1.10 | 12 | 31.12 | odd | 30 | |||
2883.2.a.t.1.10 | 12 | 31.19 | even | 15 | |||
8649.2.a.bk.1.3 | 12 | 93.50 | odd | 30 | |||
8649.2.a.bl.1.3 | 12 | 93.74 | even | 30 |