Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(11,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([24, 15, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bl (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 11.12 | ||
Character | \(\chi\) | \(=\) | 576.11 |
Dual form | 576.2.bl.a.419.12 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{5}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30367 | − | 0.548138i | −0.921831 | − | 0.387592i | ||||
\(3\) | 1.29483 | − | 1.15039i | 0.747572 | − | 0.664180i | ||||
\(4\) | 1.39909 | + | 1.42918i | 0.699545 | + | 0.714589i | ||||
\(5\) | −1.03041 | − | 0.508143i | −0.460814 | − | 0.227248i | 0.197037 | − | 0.980396i | \(-0.436868\pi\) |
−0.657852 | + | 0.753148i | \(0.728535\pi\) | |||||||
\(6\) | −2.31860 | + | 0.789982i | −0.946566 | + | 0.322509i | ||||
\(7\) | 1.75332 | + | 2.28498i | 0.662694 | + | 0.863640i | 0.996885 | − | 0.0788654i | \(-0.0251297\pi\) |
−0.334191 | + | 0.942505i | \(0.608463\pi\) | |||||||
\(8\) | −1.04056 | − | 2.63006i | −0.367893 | − | 0.929868i | ||||
\(9\) | 0.353186 | − | 2.97914i | 0.117729 | − | 0.993046i | ||||
\(10\) | 1.06478 | + | 1.22726i | 0.336713 | + | 0.388093i | ||||
\(11\) | −3.86405 | − | 3.38868i | −1.16505 | − | 1.02172i | −0.999368 | − | 0.0355459i | \(-0.988683\pi\) |
−0.165686 | − | 0.986179i | \(-0.552984\pi\) | |||||||
\(12\) | 3.45571 | + | 0.241042i | 0.997576 | + | 0.0695829i | ||||
\(13\) | −5.56641 | − | 0.364842i | −1.54385 | − | 0.101189i | −0.730477 | − | 0.682938i | \(-0.760702\pi\) |
−0.813368 | + | 0.581749i | \(0.802369\pi\) | |||||||
\(14\) | −1.03327 | − | 3.93991i | −0.276152 | − | 1.05299i | ||||
\(15\) | −1.91878 | + | 0.527420i | −0.495426 | + | 0.136179i | ||||
\(16\) | −0.0850976 | + | 3.99909i | −0.0212744 | + | 0.999774i | ||||
\(17\) | 0.422740 | + | 0.422740i | 0.102529 | + | 0.102529i | 0.756511 | − | 0.653981i | \(-0.226902\pi\) |
−0.653981 | + | 0.756511i | \(0.726902\pi\) | |||||||
\(18\) | −2.09342 | + | 3.69020i | −0.493423 | + | 0.869790i | ||||
\(19\) | 4.18242 | − | 6.25943i | 0.959513 | − | 1.43601i | 0.0604607 | − | 0.998171i | \(-0.480743\pi\) |
0.899052 | − | 0.437842i | \(-0.144257\pi\) | |||||||
\(20\) | −0.715412 | − | 2.18358i | −0.159971 | − | 0.488263i | ||||
\(21\) | 4.89889 | + | 0.941650i | 1.06902 | + | 0.205485i | ||||
\(22\) | 3.17996 | + | 6.53573i | 0.677970 | + | 1.39342i | ||||
\(23\) | 2.49143 | − | 3.24690i | 0.519500 | − | 0.677025i | −0.457759 | − | 0.889076i | \(-0.651348\pi\) |
0.977259 | + | 0.212051i | \(0.0680144\pi\) | |||||||
\(24\) | −4.37296 | − | 2.20844i | −0.892627 | − | 0.450796i | ||||
\(25\) | −2.24027 | − | 2.91957i | −0.448053 | − | 0.583915i | ||||
\(26\) | 7.05676 | + | 3.52679i | 1.38394 | + | 0.691661i | ||||
\(27\) | −2.96987 | − | 4.26379i | −0.571551 | − | 0.820567i | ||||
\(28\) | −0.812580 | + | 5.70270i | −0.153563 | + | 1.07771i | ||||
\(29\) | 1.73601 | − | 5.11412i | 0.322369 | − | 0.949669i | −0.658089 | − | 0.752940i | \(-0.728635\pi\) |
0.980458 | − | 0.196728i | \(-0.0630317\pi\) | |||||||
\(30\) | 2.79054 | + | 0.364175i | 0.509481 | + | 0.0664890i | ||||
\(31\) | 0.836001 | + | 1.44800i | 0.150150 | + | 0.260068i | 0.931283 | − | 0.364298i | \(-0.118691\pi\) |
−0.781132 | + | 0.624365i | \(0.785358\pi\) | |||||||
\(32\) | 2.30299 | − | 5.16684i | 0.407116 | − | 0.913377i | ||||
\(33\) | −8.90161 | + | 0.0574041i | −1.54957 | + | 0.00999277i | ||||
\(34\) | −0.319392 | − | 0.782831i | −0.0547752 | − | 0.134254i | ||||
\(35\) | −0.645551 | − | 3.24541i | −0.109118 | − | 0.548574i | ||||
\(36\) | 4.75186 | − | 3.66331i | 0.791976 | − | 0.610552i | ||||
\(37\) | 6.04294 | − | 4.03776i | 0.993452 | − | 0.663804i | 0.0511935 | − | 0.998689i | \(-0.483697\pi\) |
0.942259 | + | 0.334885i | \(0.108697\pi\) | |||||||
\(38\) | −8.88351 | + | 5.86767i | −1.44110 | + | 0.951861i | ||||
\(39\) | −7.62729 | + | 5.93116i | −1.22134 | + | 0.949746i | ||||
\(40\) | −0.264245 | + | 3.23880i | −0.0417808 | + | 0.512100i | ||||
\(41\) | 4.08599 | + | 3.13529i | 0.638124 | + | 0.489650i | 0.876423 | − | 0.481542i | \(-0.159923\pi\) |
−0.238299 | + | 0.971192i | \(0.576590\pi\) | |||||||
\(42\) | −5.87036 | − | 3.91286i | −0.905816 | − | 0.603768i | ||||
\(43\) | −3.22453 | − | 2.82784i | −0.491737 | − | 0.431241i | 0.377225 | − | 0.926122i | \(-0.376879\pi\) |
−0.868961 | + | 0.494880i | \(0.835212\pi\) | |||||||
\(44\) | −0.563124 | − | 10.2635i | −0.0848941 | − | 1.54728i | ||||
\(45\) | −1.87776 | + | 2.89027i | −0.279919 | + | 0.430856i | ||||
\(46\) | −5.02774 | + | 2.86722i | −0.741300 | + | 0.422749i | ||||
\(47\) | 2.07557 | + | 7.74614i | 0.302753 | + | 1.12989i | 0.934862 | + | 0.355011i | \(0.115523\pi\) |
−0.632109 | + | 0.774880i | \(0.717810\pi\) | |||||||
\(48\) | 4.49035 | + | 5.27606i | 0.648126 | + | 0.761533i | ||||
\(49\) | −0.335239 | + | 1.25113i | −0.0478912 | + | 0.178733i | ||||
\(50\) | 1.32023 | + | 5.03412i | 0.186709 | + | 0.711933i | ||||
\(51\) | 1.03369 | + | 0.0610601i | 0.144746 | + | 0.00855013i | ||||
\(52\) | −7.26648 | − | 8.46584i | −1.00768 | − | 1.17400i | ||||
\(53\) | −2.33893 | − | 0.465242i | −0.321277 | − | 0.0639059i | 0.0318175 | − | 0.999494i | \(-0.489870\pi\) |
−0.353094 | + | 0.935588i | \(0.614870\pi\) | |||||||
\(54\) | 1.53457 | + | 7.18645i | 0.208828 | + | 0.977952i | ||||
\(55\) | 2.25963 | + | 5.45522i | 0.304688 | + | 0.735582i | ||||
\(56\) | 4.18520 | − | 6.98901i | 0.559271 | − | 0.933945i | ||||
\(57\) | −1.78528 | − | 12.9164i | −0.236466 | − | 1.71081i | ||||
\(58\) | −5.06642 | + | 5.71553i | −0.665254 | + | 0.750486i | ||||
\(59\) | −3.59555 | + | 7.29105i | −0.468100 | + | 0.949214i | 0.526955 | + | 0.849893i | \(0.323334\pi\) |
−0.995055 | + | 0.0993205i | \(0.968333\pi\) | |||||||
\(60\) | −3.43832 | − | 2.00437i | −0.443885 | − | 0.258762i | ||||
\(61\) | −3.03612 | + | 8.94413i | −0.388736 | + | 1.14518i | 0.559832 | + | 0.828606i | \(0.310866\pi\) |
−0.948568 | + | 0.316573i | \(0.897468\pi\) | |||||||
\(62\) | −0.296164 | − | 2.34595i | −0.0376129 | − | 0.297936i | ||||
\(63\) | 7.42651 | − | 4.41637i | 0.935652 | − | 0.556410i | ||||
\(64\) | −5.83448 | + | 5.47347i | −0.729309 | + | 0.684184i | ||||
\(65\) | 5.55031 | + | 3.20447i | 0.688431 | + | 0.397466i | ||||
\(66\) | 11.6362 | + | 4.80447i | 1.43232 | + | 0.591390i | ||||
\(67\) | −7.78019 | + | 6.82304i | −0.950501 | + | 0.833567i | −0.986160 | − | 0.165797i | \(-0.946980\pi\) |
0.0356586 | + | 0.999364i | \(0.488647\pi\) | |||||||
\(68\) | −0.0127195 | + | 1.19562i | −0.00154247 | + | 0.144990i | ||||
\(69\) | −0.509223 | − | 7.07032i | −0.0613033 | − | 0.851167i | ||||
\(70\) | −0.937347 | + | 4.58478i | −0.112034 | + | 0.547986i | ||||
\(71\) | −5.65020 | − | 2.34039i | −0.670555 | − | 0.277753i | 0.0213175 | − | 0.999773i | \(-0.493214\pi\) |
−0.691872 | + | 0.722020i | \(0.743214\pi\) | |||||||
\(72\) | −8.20283 | + | 2.17106i | −0.966713 | + | 0.255862i | ||||
\(73\) | 12.6614 | − | 5.24454i | 1.48191 | − | 0.613827i | 0.512371 | − | 0.858764i | \(-0.328767\pi\) |
0.969539 | + | 0.244937i | \(0.0787672\pi\) | |||||||
\(74\) | −10.0912 | + | 1.95153i | −1.17308 | + | 0.226860i | ||||
\(75\) | −6.25943 | − | 1.20317i | −0.722777 | − | 0.138930i | ||||
\(76\) | 14.7974 | − | 2.78009i | 1.69738 | − | 0.318898i | ||||
\(77\) | 0.968123 | − | 14.7707i | 0.110328 | − | 1.68328i | ||||
\(78\) | 13.1945 | − | 3.55144i | 1.49399 | − | 0.402122i | ||||
\(79\) | −2.18810 | − | 8.16611i | −0.246181 | − | 0.918759i | −0.972786 | − | 0.231704i | \(-0.925570\pi\) |
0.726606 | − | 0.687055i | \(-0.241097\pi\) | |||||||
\(80\) | 2.11980 | − | 4.07747i | 0.237001 | − | 0.455875i | ||||
\(81\) | −8.75052 | − | 2.10438i | −0.972280 | − | 0.233820i | ||||
\(82\) | −3.60819 | − | 6.32706i | −0.398458 | − | 0.698706i | ||||
\(83\) | −4.43087 | + | 2.18507i | −0.486352 | + | 0.239842i | −0.668897 | − | 0.743355i | \(-0.733233\pi\) |
0.182545 | + | 0.983198i | \(0.441566\pi\) | |||||||
\(84\) | 5.50820 | + | 8.31883i | 0.600993 | + | 0.907659i | ||||
\(85\) | −0.220784 | − | 0.650408i | −0.0239474 | − | 0.0705467i | ||||
\(86\) | 2.65367 | + | 5.45405i | 0.286152 | + | 0.588125i | ||||
\(87\) | −3.63541 | − | 8.61903i | −0.389757 | − | 0.924057i | ||||
\(88\) | −4.89167 | + | 13.6888i | −0.521454 | + | 1.45923i | ||||
\(89\) | −10.2912 | − | 4.26277i | −1.09087 | − | 0.451853i | −0.236560 | − | 0.971617i | \(-0.576020\pi\) |
−0.854310 | + | 0.519764i | \(0.826020\pi\) | |||||||
\(90\) | 4.03223 | − | 2.73868i | 0.425035 | − | 0.288682i | ||||
\(91\) | −8.92607 | − | 13.3588i | −0.935706 | − | 1.40038i | ||||
\(92\) | 8.12613 | − | 0.982001i | 0.847208 | − | 0.102381i | ||||
\(93\) | 2.74825 | + | 0.913183i | 0.284980 | + | 0.0946926i | ||||
\(94\) | 1.54010 | − | 11.2361i | 0.158849 | − | 1.15891i | ||||
\(95\) | −7.49030 | + | 4.32453i | −0.768489 | + | 0.443687i | ||||
\(96\) | −2.96191 | − | 9.33955i | −0.302298 | − | 0.953213i | ||||
\(97\) | 15.8206 | + | 9.13404i | 1.60634 | + | 0.927422i | 0.990179 | + | 0.139802i | \(0.0446467\pi\) |
0.616162 | + | 0.787619i | \(0.288687\pi\) | |||||||
\(98\) | 1.12283 | − | 1.44730i | 0.113423 | − | 0.146199i | ||||
\(99\) | −11.4601 | + | 10.3147i | −1.15178 | + | 1.03667i | ||||
\(100\) | 1.03825 | − | 7.28648i | 0.103825 | − | 0.728648i | ||||
\(101\) | 8.52855 | − | 0.558990i | 0.848622 | − | 0.0556216i | 0.365115 | − | 0.930962i | \(-0.381030\pi\) |
0.483507 | + | 0.875341i | \(0.339363\pi\) | |||||||
\(102\) | −1.31412 | − | 0.646210i | −0.130118 | − | 0.0639843i | ||||
\(103\) | 0.493237 | + | 3.74651i | 0.0486001 | + | 0.369155i | 0.998412 | + | 0.0563330i | \(0.0179409\pi\) |
−0.949812 | + | 0.312822i | \(0.898726\pi\) | |||||||
\(104\) | 4.83262 | + | 15.0197i | 0.473877 | + | 1.47280i | ||||
\(105\) | −4.56938 | − | 3.45962i | −0.445926 | − | 0.337624i | ||||
\(106\) | 2.79417 | + | 1.88858i | 0.271393 | + | 0.183435i | ||||
\(107\) | 10.2072 | + | 2.03033i | 0.986763 | + | 0.196279i | 0.661990 | − | 0.749513i | \(-0.269712\pi\) |
0.324773 | + | 0.945792i | \(0.394712\pi\) | |||||||
\(108\) | 1.93861 | − | 10.2099i | 0.186542 | − | 0.982447i | ||||
\(109\) | 12.5877 | + | 8.41081i | 1.20568 | + | 0.805609i | 0.985471 | − | 0.169844i | \(-0.0543263\pi\) |
0.220208 | + | 0.975453i | \(0.429326\pi\) | |||||||
\(110\) | 0.0444161 | − | 8.35037i | 0.00423491 | − | 0.796177i | ||||
\(111\) | 3.17958 | − | 12.1800i | 0.301792 | − | 1.15607i | ||||
\(112\) | −9.28704 | + | 6.81726i | −0.877543 | + | 0.644171i | ||||
\(113\) | −6.99057 | − | 1.87312i | −0.657618 | − | 0.176208i | −0.0854472 | − | 0.996343i | \(-0.527232\pi\) |
−0.572171 | + | 0.820135i | \(0.693899\pi\) | |||||||
\(114\) | −4.75254 | + | 17.8172i | −0.445116 | + | 1.66873i | ||||
\(115\) | −4.21709 | + | 2.07964i | −0.393246 | + | 0.193927i | ||||
\(116\) | 9.73782 | − | 4.67405i | 0.904134 | − | 0.433974i | ||||
\(117\) | −3.05289 | + | 16.4543i | −0.282240 | + | 1.52120i | ||||
\(118\) | 8.68389 | − | 7.53423i | 0.799417 | − | 0.693583i | ||||
\(119\) | −0.224751 | + | 1.70715i | −0.0206029 | + | 0.156494i | ||||
\(120\) | 3.38375 | + | 4.49769i | 0.308892 | + | 0.410581i | ||||
\(121\) | 2.01193 | + | 15.2821i | 0.182903 | + | 1.38928i | ||||
\(122\) | 8.86071 | − | 9.99595i | 0.802211 | − | 0.904990i | ||||
\(123\) | 8.89749 | − | 0.640821i | 0.802260 | − | 0.0577809i | ||||
\(124\) | −0.899804 | + | 3.22067i | −0.0808047 | + | 0.289225i | ||||
\(125\) | 1.94553 | + | 9.78083i | 0.174013 | + | 0.874824i | ||||
\(126\) | −12.1025 | + | 1.68672i | −1.07817 | + | 0.150265i | ||||
\(127\) | 11.4658i | 1.01743i | 0.860936 | + | 0.508714i | \(0.169879\pi\) | ||||
−0.860936 | + | 0.508714i | \(0.830121\pi\) | |||||||
\(128\) | 10.6064 | − | 3.93748i | 0.937484 | − | 0.348027i | ||||
\(129\) | −7.42836 | + | 0.0479035i | −0.654031 | + | 0.00421767i | ||||
\(130\) | −5.47925 | − | 7.21989i | −0.480562 | − | 0.633227i | ||||
\(131\) | −5.28220 | − | 6.02320i | −0.461508 | − | 0.526249i | 0.473539 | − | 0.880773i | \(-0.342976\pi\) |
−0.935047 | + | 0.354524i | \(0.884643\pi\) | |||||||
\(132\) | −12.5362 | − | 12.6417i | −1.09114 | − | 1.10032i | ||||
\(133\) | 21.6358 | − | 1.41808i | 1.87606 | − | 0.122964i | ||||
\(134\) | 13.8827 | − | 4.63035i | 1.19929 | − | 0.400001i | ||||
\(135\) | 0.893570 | + | 5.90258i | 0.0769063 | + | 0.508013i | ||||
\(136\) | 0.671947 | − | 1.55172i | 0.0576190 | − | 0.133059i | ||||
\(137\) | 12.1434 | + | 1.59871i | 1.03748 | + | 0.136587i | 0.629975 | − | 0.776616i | \(-0.283065\pi\) |
0.407506 | + | 0.913203i | \(0.366399\pi\) | |||||||
\(138\) | −3.21165 | + | 9.49646i | −0.273394 | + | 0.808392i | ||||
\(139\) | −1.61567 | − | 4.75960i | −0.137039 | − | 0.403704i | 0.856647 | − | 0.515904i | \(-0.172544\pi\) |
−0.993686 | + | 0.112200i | \(0.964210\pi\) | |||||||
\(140\) | 3.73508 | − | 5.46322i | 0.315672 | − | 0.461727i | ||||
\(141\) | 11.5986 | + | 7.64224i | 0.976782 | + | 0.643592i | ||||
\(142\) | 6.08311 | + | 6.14817i | 0.510483 | + | 0.515943i | ||||
\(143\) | 20.2725 | + | 20.2725i | 1.69527 | + | 1.69527i | ||||
\(144\) | 11.8838 | + | 1.66594i | 0.990316 | + | 0.138829i | ||||
\(145\) | −4.38751 | + | 4.38751i | −0.364363 | + | 0.364363i | ||||
\(146\) | −19.3810 | − | 0.103089i | −1.60399 | − | 0.00853168i | ||||
\(147\) | 1.00521 | + | 2.00566i | 0.0829085 | + | 0.165424i | ||||
\(148\) | 14.2253 | + | 2.98724i | 1.16931 | + | 0.245550i | ||||
\(149\) | 0.680952 | − | 0.231152i | 0.0557858 | − | 0.0189367i | −0.293407 | − | 0.955988i | \(-0.594789\pi\) |
0.349193 | + | 0.937051i | \(0.386456\pi\) | |||||||
\(150\) | 7.50071 | + | 4.99956i | 0.612430 | + | 0.408213i | ||||
\(151\) | 1.11381 | − | 8.46026i | 0.0906409 | − | 0.688486i | −0.884443 | − | 0.466649i | \(-0.845461\pi\) |
0.975084 | − | 0.221837i | \(-0.0712054\pi\) | |||||||
\(152\) | −20.8148 | − | 4.48673i | −1.68830 | − | 0.363921i | ||||
\(153\) | 1.40871 | − | 1.11009i | 0.113887 | − | 0.0897458i | ||||
\(154\) | −9.35849 | + | 18.7254i | −0.754129 | + | 1.50894i | ||||
\(155\) | −0.125636 | − | 1.91684i | −0.0100914 | − | 0.153964i | ||||
\(156\) | −19.1479 | − | 2.60253i | −1.53306 | − | 0.208369i | ||||
\(157\) | 1.24579 | − | 1.09253i | 0.0994246 | − | 0.0871930i | −0.608191 | − | 0.793791i | \(-0.708104\pi\) |
0.707615 | + | 0.706598i | \(0.249771\pi\) | |||||||
\(158\) | −1.62360 | + | 11.8453i | −0.129167 | + | 0.942358i | ||||
\(159\) | −3.56374 | + | 2.08828i | −0.282623 | + | 0.165611i | ||||
\(160\) | −4.99853 | + | 4.15372i | −0.395168 | + | 0.328381i | ||||
\(161\) | 11.7874 | 0.928975 | ||||||||
\(162\) | 10.2543 | + | 7.53990i | 0.805651 | + | 0.592391i | ||||
\(163\) | −9.89718 | + | 1.96867i | −0.775207 | + | 0.154198i | −0.566813 | − | 0.823847i | \(-0.691824\pi\) |
−0.208394 | + | 0.978045i | \(0.566824\pi\) | |||||||
\(164\) | 1.23578 | + | 10.2262i | 0.0964980 | + | 0.798528i | ||||
\(165\) | 9.20149 | + | 4.46414i | 0.716335 | + | 0.347533i | ||||
\(166\) | 6.97410 | − | 0.419865i | 0.541295 | − | 0.0325878i | ||||
\(167\) | 11.6189 | − | 1.52966i | 0.899101 | − | 0.118369i | 0.333214 | − | 0.942851i | \(-0.391867\pi\) |
0.565887 | + | 0.824483i | \(0.308534\pi\) | |||||||
\(168\) | −2.62098 | − | 13.8642i | −0.202213 | − | 1.06965i | ||||
\(169\) | 17.9631 | + | 2.36488i | 1.38177 | + | 0.181914i | ||||
\(170\) | −0.0686851 | + | 0.968935i | −0.00526791 | + | 0.0743139i | ||||
\(171\) | −17.1705 | − | 14.6707i | −1.31306 | − | 1.12190i | ||||
\(172\) | −0.469925 | − | 8.56483i | −0.0358314 | − | 0.653062i | ||||
\(173\) | 6.56523 | + | 13.3130i | 0.499145 | + | 1.01217i | 0.990019 | + | 0.140935i | \(0.0450110\pi\) |
−0.490874 | + | 0.871231i | \(0.663322\pi\) | |||||||
\(174\) | 0.0149441 | + | 13.2290i | 0.00113291 | + | 1.00289i | ||||
\(175\) | 2.74324 | − | 10.2379i | 0.207370 | − | 0.773914i | ||||
\(176\) | 13.8805 | − | 15.1643i | 1.04628 | − | 1.14305i | ||||
\(177\) | 3.73195 | + | 13.5770i | 0.280510 | + | 1.02051i | ||||
\(178\) | 11.0798 | + | 11.1983i | 0.830463 | + | 0.839345i | ||||
\(179\) | −1.09628 | + | 1.64071i | −0.0819402 | + | 0.122632i | −0.870176 | − | 0.492741i | \(-0.835995\pi\) |
0.788236 | + | 0.615374i | \(0.210995\pi\) | |||||||
\(180\) | −6.75786 | + | 1.36010i | −0.503701 | + | 0.101376i | ||||
\(181\) | 2.98273 | − | 14.9952i | 0.221705 | − | 1.11458i | −0.696220 | − | 0.717829i | \(-0.745136\pi\) |
0.917924 | − | 0.396755i | \(-0.129864\pi\) | |||||||
\(182\) | 4.31414 | + | 22.3081i | 0.319785 | + | 1.65359i | ||||
\(183\) | 6.35800 | + | 15.0739i | 0.469997 | + | 1.11429i | ||||
\(184\) | −11.1320 | − | 3.17404i | −0.820664 | − | 0.233993i | ||||
\(185\) | −8.27847 | + | 1.08988i | −0.608645 | + | 0.0801297i | ||||
\(186\) | −3.08225 | − | 2.69690i | −0.226001 | − | 0.197747i | ||||
\(187\) | −0.200957 | − | 3.06601i | −0.0146954 | − | 0.224209i | ||||
\(188\) | −8.16670 | + | 13.8039i | −0.595618 | + | 1.00675i | ||||
\(189\) | 4.53552 | − | 14.2619i | 0.329911 | − | 1.03740i | ||||
\(190\) | 12.1353 | − | 1.53202i | 0.880386 | − | 0.111144i | ||||
\(191\) | −6.15847 | + | 10.6668i | −0.445611 | + | 0.771821i | −0.998095 | − | 0.0617028i | \(-0.980347\pi\) |
0.552483 | + | 0.833524i | \(0.313680\pi\) | |||||||
\(192\) | −1.25802 | + | 13.7992i | −0.0907900 | + | 0.995870i | ||||
\(193\) | −11.9976 | − | 20.7804i | −0.863603 | − | 1.49580i | −0.868427 | − | 0.495817i | \(-0.834869\pi\) |
0.00482384 | − | 0.999988i | \(-0.498465\pi\) | |||||||
\(194\) | −15.6181 | − | 20.5796i | −1.12131 | − | 1.47753i | ||||
\(195\) | 10.8731 | − | 2.23579i | 0.778641 | − | 0.160108i | ||||
\(196\) | −2.25711 | + | 1.27132i | −0.161222 | + | 0.0908088i | ||||
\(197\) | 2.41298 | − | 1.61230i | 0.171918 | − | 0.114872i | −0.466634 | − | 0.884450i | \(-0.654534\pi\) |
0.638552 | + | 0.769578i | \(0.279534\pi\) | |||||||
\(198\) | 20.5940 | − | 7.16521i | 1.46355 | − | 0.509209i | ||||
\(199\) | 5.46670 | − | 13.1978i | 0.387524 | − | 0.935566i | −0.602939 | − | 0.797787i | \(-0.706004\pi\) |
0.990463 | − | 0.137779i | \(-0.0439963\pi\) | |||||||
\(200\) | −5.34754 | + | 8.93003i | −0.378128 | + | 0.631449i | ||||
\(201\) | −2.22486 | + | 17.7850i | −0.156929 | + | 1.25446i | ||||
\(202\) | −11.4248 | − | 3.94608i | −0.803845 | − | 0.277645i | ||||
\(203\) | 14.7294 | − | 4.99997i | 1.03380 | − | 0.350929i | ||||
\(204\) | 1.35897 | + | 1.56276i | 0.0951466 | + | 0.109415i | ||||
\(205\) | −2.61708 | − | 5.30691i | −0.182785 | − | 0.370650i | ||||
\(206\) | 1.41059 | − | 5.15456i | 0.0982803 | − | 0.359135i | ||||
\(207\) | −8.79302 | − | 8.56908i | −0.611157 | − | 0.595592i | ||||
\(208\) | 1.93273 | − | 22.2296i | 0.134010 | − | 1.54134i | ||||
\(209\) | −37.3723 | + | 10.0139i | −2.58509 | + | 0.692674i | ||||
\(210\) | 4.06059 | + | 7.01484i | 0.280208 | + | 0.484070i | ||||
\(211\) | −2.00227 | − | 0.131236i | −0.137842 | − | 0.00903466i | −0.00367419 | − | 0.999993i | \(-0.501170\pi\) |
−0.134168 | + | 0.990959i | \(0.542836\pi\) | |||||||
\(212\) | −2.60746 | − | 3.99366i | −0.179081 | − | 0.274286i | ||||
\(213\) | −10.0084 | + | 3.46954i | −0.685766 | + | 0.237729i | ||||
\(214\) | −12.1938 | − | 8.24180i | −0.833552 | − | 0.563398i | ||||
\(215\) | 1.88565 | + | 4.55236i | 0.128600 | + | 0.310469i | ||||
\(216\) | −8.12372 | + | 12.2477i | −0.552749 | + | 0.833348i | ||||
\(217\) | −1.84286 | + | 4.44905i | −0.125101 | + | 0.302021i | ||||
\(218\) | −11.7998 | − | 17.8647i | −0.799185 | − | 1.20995i | ||||
\(219\) | 10.3612 | − | 21.3565i | 0.700143 | − | 1.44314i | ||||
\(220\) | −4.63506 | + | 10.8618i | −0.312496 | + | 0.732299i | ||||
\(221\) | −2.19891 | − | 2.50738i | −0.147915 | − | 0.168664i | ||||
\(222\) | −10.8214 | + | 14.1358i | −0.726286 | + | 0.948732i | ||||
\(223\) | −2.52907 | + | 4.38048i | −0.169359 | + | 0.293338i | −0.938195 | − | 0.346108i | \(-0.887503\pi\) |
0.768836 | + | 0.639446i | \(0.220836\pi\) | |||||||
\(224\) | 15.8440 | − | 3.79685i | 1.05862 | − | 0.253688i | ||||
\(225\) | −9.48904 | + | 5.64291i | −0.632603 | + | 0.376194i | ||||
\(226\) | 8.08665 | + | 6.27372i | 0.537916 | + | 0.417322i | ||||
\(227\) | 18.8668 | + | 6.40440i | 1.25223 | + | 0.425075i | 0.867261 | − | 0.497854i | \(-0.165878\pi\) |
0.384970 | + | 0.922929i | \(0.374212\pi\) | |||||||
\(228\) | 15.9620 | − | 20.6226i | 1.05711 | − | 1.36577i | ||||
\(229\) | 11.0261 | + | 5.43749i | 0.728628 | + | 0.359319i | 0.768469 | − | 0.639887i | \(-0.221019\pi\) |
−0.0398416 | + | 0.999206i | \(0.512685\pi\) | |||||||
\(230\) | 6.63761 | − | 0.399607i | 0.437671 | − | 0.0263493i | ||||
\(231\) | −15.7386 | − | 20.2393i | −1.03552 | − | 1.33165i | ||||
\(232\) | −15.2569 | + | 0.755724i | −1.00166 | + | 0.0496157i | ||||
\(233\) | 12.4937 | − | 5.17506i | 0.818489 | − | 0.339029i | 0.0661538 | − | 0.997809i | \(-0.478927\pi\) |
0.752336 | + | 0.658780i | \(0.228927\pi\) | |||||||
\(234\) | 12.9992 | − | 19.7774i | 0.849781 | − | 1.29289i | ||||
\(235\) | 1.79745 | − | 9.03641i | 0.117253 | − | 0.589470i | ||||
\(236\) | −15.4507 | + | 5.06215i | −1.00575 | + | 0.329518i | ||||
\(237\) | −12.2275 | − | 8.05657i | −0.794259 | − | 0.523330i | ||||
\(238\) | 1.22875 | − | 2.10236i | 0.0796483 | − | 0.136276i | ||||
\(239\) | −9.51714 | − | 2.55011i | −0.615613 | − | 0.164953i | −0.0624801 | − | 0.998046i | \(-0.519901\pi\) |
−0.553132 | + | 0.833093i | \(0.686568\pi\) | |||||||
\(240\) | −1.94592 | − | 7.71825i | −0.125608 | − | 0.498211i | ||||
\(241\) | 13.9374 | − | 3.73451i | 0.897786 | − | 0.240561i | 0.219721 | − | 0.975563i | \(-0.429485\pi\) |
0.678065 | + | 0.735002i | \(0.262819\pi\) | |||||||
\(242\) | 5.75382 | − | 21.0256i | 0.369870 | − | 1.35158i | ||||
\(243\) | −13.7513 | + | 7.34172i | −0.882148 | + | 0.470972i | ||||
\(244\) | −17.0306 | + | 8.17448i | −1.09027 | + | 0.523318i | ||||
\(245\) | 0.981186 | − | 1.11883i | 0.0626856 | − | 0.0714793i | ||||
\(246\) | −11.9506 | − | 4.04164i | −0.761943 | − | 0.257685i | ||||
\(247\) | −25.5648 | + | 33.3167i | −1.62665 | + | 2.11989i | ||||
\(248\) | 2.93841 | − | 3.70546i | 0.186590 | − | 0.235297i | ||||
\(249\) | −3.22356 | + | 7.92655i | −0.204285 | + | 0.502325i | ||||
\(250\) | 2.82493 | − | 13.8174i | 0.178664 | − | 0.873886i | ||||
\(251\) | −6.26404 | − | 9.37480i | −0.395383 | − | 0.591732i | 0.579357 | − | 0.815074i | \(-0.303304\pi\) |
−0.974740 | + | 0.223341i | \(0.928304\pi\) | |||||||
\(252\) | 16.7021 | + | 4.43490i | 1.05214 | + | 0.279373i | ||||
\(253\) | −20.6297 | + | 4.10350i | −1.29698 | + | 0.257985i | ||||
\(254\) | 6.28485 | − | 14.9476i | 0.394347 | − | 0.937896i | ||||
\(255\) | −1.03410 | − | 0.588182i | −0.0647581 | − | 0.0368334i | ||||
\(256\) | −15.9855 | − | 0.680627i | −0.999095 | − | 0.0425392i | ||||
\(257\) | −13.1793 | + | 7.60907i | −0.822101 | + | 0.474640i | −0.851141 | − | 0.524938i | \(-0.824089\pi\) |
0.0290392 | + | 0.999578i | \(0.490755\pi\) | |||||||
\(258\) | 9.71036 | + | 4.00932i | 0.604540 | + | 0.249609i | ||||
\(259\) | 19.8214 | + | 6.72846i | 1.23164 | + | 0.418086i | ||||
\(260\) | 3.18562 | + | 12.4157i | 0.197564 | + | 0.769990i | ||||
\(261\) | −14.6225 | − | 6.97805i | −0.905112 | − | 0.431931i | ||||
\(262\) | 3.58468 | + | 10.7476i | 0.221462 | + | 0.663990i | ||||
\(263\) | −25.0225 | + | 19.2004i | −1.54295 | + | 1.18395i | −0.629498 | + | 0.777002i | \(0.716739\pi\) |
−0.913452 | + | 0.406945i | \(0.866594\pi\) | |||||||
\(264\) | 9.41362 | + | 23.3521i | 0.579368 | + | 1.43722i | ||||
\(265\) | 2.17365 | + | 1.66790i | 0.133526 | + | 0.102458i | ||||
\(266\) | −28.9831 | − | 10.0107i | −1.77707 | − | 0.613795i | ||||
\(267\) | −18.2293 | + | 6.31941i | −1.11562 | + | 0.386742i | ||||
\(268\) | −20.6365 | − | 1.57323i | −1.26058 | − | 0.0961001i | ||||
\(269\) | −0.939423 | − | 0.627703i | −0.0572777 | − | 0.0382717i | 0.526602 | − | 0.850112i | \(-0.323466\pi\) |
−0.583879 | + | 0.811840i | \(0.698466\pi\) | |||||||
\(270\) | 2.07051 | − | 8.18479i | 0.126007 | − | 0.498110i | ||||
\(271\) | 1.11050 | − | 1.11050i | 0.0674578 | − | 0.0674578i | −0.672573 | − | 0.740031i | \(-0.734811\pi\) |
0.740031 | + | 0.672573i | \(0.234811\pi\) | |||||||
\(272\) | −1.72655 | + | 1.65460i | −0.104688 | + | 0.100325i | ||||
\(273\) | −26.9257 | − | 7.02893i | −1.62962 | − | 0.425410i | ||||
\(274\) | −14.9546 | − | 8.74044i | −0.903441 | − | 0.528029i | ||||
\(275\) | −1.23700 | + | 18.8729i | −0.0745936 | + | 1.13808i | ||||
\(276\) | 9.39230 | − | 10.6198i | 0.565350 | − | 0.639236i | ||||
\(277\) | 10.1241 | − | 11.5444i | 0.608301 | − | 0.693634i | −0.362919 | − | 0.931821i | \(-0.618220\pi\) |
0.971219 | + | 0.238187i | \(0.0765530\pi\) | |||||||
\(278\) | −0.502629 | + | 7.09054i | −0.0301457 | + | 0.425262i | ||||
\(279\) | 4.60904 | − | 1.97915i | 0.275936 | − | 0.118489i | ||||
\(280\) | −7.86389 | + | 5.07488i | −0.469958 | + | 0.303282i | ||||
\(281\) | 12.3475 | − | 9.47459i | 0.736592 | − | 0.565207i | −0.170894 | − | 0.985289i | \(-0.554666\pi\) |
0.907486 | + | 0.420083i | \(0.137999\pi\) | |||||||
\(282\) | −10.9317 | − | 16.3206i | −0.650976 | − | 0.971876i | ||||
\(283\) | 14.3254 | − | 29.0489i | 0.851554 | − | 1.72678i | 0.183005 | − | 0.983112i | \(-0.441418\pi\) |
0.668549 | − | 0.743668i | \(-0.266916\pi\) | |||||||
\(284\) | −4.56030 | − | 11.3495i | −0.270604 | − | 0.673472i | ||||
\(285\) | −4.72378 | + | 14.2163i | −0.279813 | + | 0.842103i | ||||
\(286\) | −15.3165 | − | 37.5408i | −0.905682 | − | 2.21983i | ||||
\(287\) | 14.8336i | 0.875598i | ||||||||
\(288\) | −14.5793 | − | 8.68579i | −0.859096 | − | 0.511815i | ||||
\(289\) | − | 16.6426i | − | 0.978975i | ||||||
\(290\) | 8.12481 | − | 3.31489i | 0.477105 | − | 0.194657i | ||||
\(291\) | 30.9928 | − | 6.37290i | 1.81683 | − | 0.373586i | ||||
\(292\) | 25.2099 | + | 10.7579i | 1.47530 | + | 0.629557i | ||||
\(293\) | 10.0972 | − | 20.4751i | 0.589884 | − | 1.19617i | −0.373397 | − | 0.927672i | \(-0.621807\pi\) |
0.963281 | − | 0.268495i | \(-0.0865264\pi\) | |||||||
\(294\) | −0.211083 | − | 3.16570i | −0.0123106 | − | 0.184628i | ||||
\(295\) | 7.40979 | − | 5.68573i | 0.431415 | − | 0.331036i | ||||
\(296\) | −16.9076 | − | 11.6918i | −0.982734 | − | 0.679571i | ||||
\(297\) | −2.97291 | + | 26.5394i | −0.172506 | + | 1.53997i | ||||
\(298\) | −1.01444 | − | 0.0719107i | −0.0587648 | − | 0.00416567i | ||||
\(299\) | −15.0529 | + | 17.1646i | −0.870534 | + | 0.992654i | ||||
\(300\) | −7.03796 | − | 10.6292i | −0.406337 | − | 0.613676i | ||||
\(301\) | 0.807895 | − | 12.3261i | 0.0465663 | − | 0.710464i | ||||
\(302\) | −6.08943 | + | 10.4188i | −0.350407 | + | 0.599536i | ||||
\(303\) | 10.4000 | − | 10.5350i | 0.597463 | − | 0.605219i | ||||
\(304\) | 24.6761 | + | 17.2586i | 1.41527 | + | 0.989846i | ||||
\(305\) | 7.67336 | − | 7.67336i | 0.439375 | − | 0.439375i | ||||
\(306\) | −2.44497 | + | 0.675027i | −0.139769 | + | 0.0385887i | ||||
\(307\) | 9.55557 | + | 6.38483i | 0.545365 | + | 0.364401i | 0.797526 | − | 0.603284i | \(-0.206141\pi\) |
−0.252162 | + | 0.967685i | \(0.581141\pi\) | |||||||
\(308\) | 22.4644 | − | 19.2819i | 1.28003 | − | 1.09869i | ||||
\(309\) | 4.94862 | + | 4.28369i | 0.281517 | + | 0.243691i | ||||
\(310\) | −0.886905 | + | 2.56779i | −0.0503728 | + | 0.145840i | ||||
\(311\) | −6.31617 | − | 4.84656i | −0.358157 | − | 0.274823i | 0.413972 | − | 0.910290i | \(-0.364141\pi\) |
−0.772129 | + | 0.635466i | \(0.780808\pi\) | |||||||
\(312\) | 23.5360 | + | 13.8885i | 1.33246 | + | 0.786284i | ||||
\(313\) | 2.04276 | − | 1.56747i | 0.115464 | − | 0.0885984i | −0.549416 | − | 0.835549i | \(-0.685150\pi\) |
0.664879 | + | 0.746951i | \(0.268483\pi\) | |||||||
\(314\) | −2.22294 | + | 0.741425i | −0.125448 | + | 0.0418410i | ||||
\(315\) | −9.89651 | + | 0.776954i | −0.557605 | + | 0.0437764i | ||||
\(316\) | 8.60947 | − | 14.5523i | 0.484320 | − | 0.818631i | ||||
\(317\) | 24.6042 | + | 8.35199i | 1.38191 | + | 0.469094i | 0.910751 | − | 0.412955i | \(-0.135503\pi\) |
0.471156 | + | 0.882050i | \(0.343837\pi\) | |||||||
\(318\) | 5.79059 | − | 0.769001i | 0.324720 | − | 0.0431234i | ||||
\(319\) | −24.0381 | + | 13.8784i | −1.34588 | + | 0.777042i | ||||
\(320\) | 8.79322 | − | 2.67518i | 0.491556 | − | 0.149547i | ||||
\(321\) | 15.5522 | − | 9.11331i | 0.868042 | − | 0.508656i | ||||
\(322\) | −15.3668 | − | 6.46111i | −0.856358 | − | 0.360063i | ||||
\(323\) | 4.41419 | − | 0.878036i | 0.245612 | − | 0.0488552i | ||||
\(324\) | −9.23522 | − | 15.4503i | −0.513068 | − | 0.858348i | ||||
\(325\) | 11.4051 | + | 17.0689i | 0.632639 | + | 0.946812i | ||||
\(326\) | 13.9817 | + | 2.85853i | 0.774376 | + | 0.158319i | ||||
\(327\) | 25.9747 | − | 3.59018i | 1.43640 | − | 0.198537i | ||||
\(328\) | 3.99430 | − | 14.0089i | 0.220548 | − | 0.773510i | ||||
\(329\) | −14.0606 | + | 18.3241i | −0.775186 | + | 1.01024i | ||||
\(330\) | −9.54871 | − | 10.8634i | −0.525639 | − | 0.598012i | ||||
\(331\) | 5.46578 | − | 6.23253i | 0.300427 | − | 0.342571i | −0.581855 | − | 0.813292i | \(-0.697673\pi\) |
0.882282 | + | 0.470721i | \(0.156006\pi\) | |||||||
\(332\) | −9.32204 | − | 3.27541i | −0.511613 | − | 0.179761i | ||||
\(333\) | −9.89476 | − | 19.4288i | −0.542230 | − | 1.06469i | ||||
\(334\) | −15.9857 | − | 4.37462i | −0.874698 | − | 0.239368i | ||||
\(335\) | 11.4839 | − | 3.07710i | 0.627431 | − | 0.168120i | ||||
\(336\) | −4.18263 | + | 19.5110i | −0.228181 | + | 1.06441i | ||||
\(337\) | 7.61810 | + | 2.04126i | 0.414984 | + | 0.111195i | 0.460269 | − | 0.887779i | \(-0.347753\pi\) |
−0.0452850 | + | 0.998974i | \(0.514420\pi\) | |||||||
\(338\) | −22.1215 | − | 12.9292i | −1.20325 | − | 0.703258i | ||||
\(339\) | −11.2065 | + | 5.61654i | −0.608651 | + | 0.305049i | ||||
\(340\) | 0.620653 | − | 1.22552i | 0.0336596 | − | 0.0664631i | ||||
\(341\) | 1.67645 | − | 8.42806i | 0.0907846 | − | 0.456405i | ||||
\(342\) | 14.3430 | + | 28.5376i | 0.775583 | + | 1.54314i | ||||
\(343\) | 15.1798 | − | 6.28768i | 0.819632 | − | 0.339503i | ||||
\(344\) | −4.08208 | + | 11.4233i | −0.220091 | + | 0.615901i | ||||
\(345\) | −3.06802 | + | 7.54410i | −0.165177 | + | 0.406161i | ||||
\(346\) | −1.26152 | − | 20.9543i | −0.0678198 | − | 1.12651i | ||||
\(347\) | 14.2597 | + | 7.03211i | 0.765502 | + | 0.377504i | 0.782741 | − | 0.622348i | \(-0.213821\pi\) |
−0.0172393 | + | 0.999851i | \(0.505488\pi\) | |||||||
\(348\) | 7.23186 | − | 17.2544i | 0.387668 | − | 0.924935i | ||||
\(349\) | −19.0083 | − | 6.45246i | −1.01749 | − | 0.345393i | −0.237639 | − | 0.971353i | \(-0.576374\pi\) |
−0.779854 | + | 0.625961i | \(0.784707\pi\) | |||||||
\(350\) | −9.18806 | + | 11.8431i | −0.491123 | + | 0.633043i | ||||
\(351\) | 14.9759 | + | 24.8175i | 0.799354 | + | 1.32466i | ||||
\(352\) | −26.4076 | + | 12.1608i | −1.40753 | + | 0.648172i | ||||
\(353\) | 7.48200 | − | 12.9592i | 0.398227 | − | 0.689749i | −0.595281 | − | 0.803518i | \(-0.702959\pi\) |
0.993507 | + | 0.113769i | \(0.0362924\pi\) | |||||||
\(354\) | 2.57685 | − | 19.7455i | 0.136958 | − | 1.04946i | ||||
\(355\) | 4.63278 | + | 5.28267i | 0.245882 | + | 0.280375i | ||||
\(356\) | −8.30611 | − | 20.6720i | −0.440223 | − | 1.09562i | ||||
\(357\) | 1.67288 | + | 2.46903i | 0.0885383 | + | 0.130675i | ||||
\(358\) | 2.32852 | − | 1.53802i | 0.123066 | − | 0.0812867i | ||||
\(359\) | −10.7802 | + | 26.0256i | −0.568956 | + | 1.37358i | 0.333480 | + | 0.942757i | \(0.391777\pi\) |
−0.902436 | + | 0.430824i | \(0.858223\pi\) | |||||||
\(360\) | 9.55551 | + | 1.93112i | 0.503620 | + | 0.101779i | ||||
\(361\) | −14.4169 | − | 34.8054i | −0.758783 | − | 1.83186i | ||||
\(362\) | −12.1079 | + | 17.9138i | −0.636378 | + | 0.941527i | ||||
\(363\) | 20.1856 | + | 17.4733i | 1.05947 | + | 0.917109i | ||||
\(364\) | 6.60374 | − | 31.4471i | 0.346130 | − | 1.64828i | ||||
\(365\) | −15.7115 | − | 1.02979i | −0.822377 | − | 0.0539014i | ||||
\(366\) | −0.0261358 | − | 23.1364i | −0.00136614 | − | 1.20936i | ||||
\(367\) | −13.7675 | + | 3.68898i | −0.718656 | + | 0.192563i | −0.599572 | − | 0.800321i | \(-0.704662\pi\) |
−0.119084 | + | 0.992884i | \(0.537996\pi\) | |||||||
\(368\) | 12.7726 | + | 10.2398i | 0.665820 | + | 0.533785i | ||||
\(369\) | 10.7836 | − | 11.0654i | 0.561370 | − | 0.576041i | ||||
\(370\) | 11.3898 | + | 3.11690i | 0.592126 | + | 0.162040i | ||||
\(371\) | −3.03783 | − | 6.16012i | −0.157717 | − | 0.319817i | ||||
\(372\) | 2.53994 | + | 5.20536i | 0.131690 | + | 0.269885i | ||||
\(373\) | −10.3349 | + | 3.50823i | −0.535122 | + | 0.181649i | −0.575902 | − | 0.817519i | \(-0.695349\pi\) |
0.0407800 | + | 0.999168i | \(0.487016\pi\) | |||||||
\(374\) | −1.41862 | + | 4.10721i | −0.0733550 | + | 0.212379i | ||||
\(375\) | 13.7709 | + | 10.4264i | 0.711129 | + | 0.538418i | ||||
\(376\) | 18.2131 | − | 13.5192i | 0.939269 | − | 0.697200i | ||||
\(377\) | −11.5292 | + | 27.8339i | −0.593784 | + | 1.43352i | ||||
\(378\) | −13.7303 | + | 16.1066i | −0.706210 | + | 0.828436i | ||||
\(379\) | −15.3042 | + | 10.2259i | −0.786121 | + | 0.525270i | −0.882633 | − | 0.470062i | \(-0.844231\pi\) |
0.0965118 | + | 0.995332i | \(0.469231\pi\) | |||||||
\(380\) | −16.6601 | − | 4.65457i | −0.854646 | − | 0.238774i | ||||
\(381\) | 13.1902 | + | 14.8463i | 0.675755 | + | 0.760601i | ||||
\(382\) | 13.8755 | − | 10.5302i | 0.709930 | − | 0.538773i | ||||
\(383\) | −11.1730 | − | 19.3522i | −0.570913 | − | 0.988851i | −0.996472 | − | 0.0839202i | \(-0.973256\pi\) |
0.425559 | − | 0.904931i | \(-0.360077\pi\) | |||||||
\(384\) | 9.20390 | − | 17.2999i | 0.469684 | − | 0.882834i | ||||
\(385\) | −8.50319 | + | 14.7280i | −0.433363 | + | 0.750607i | ||||
\(386\) | 4.25029 | + | 33.6670i | 0.216334 | + | 1.71361i | ||||
\(387\) | −9.56338 | + | 8.60757i | −0.486134 | + | 0.437547i | ||||
\(388\) | 9.08030 | + | 35.3898i | 0.460982 | + | 1.79665i | ||||
\(389\) | −1.61447 | − | 24.6321i | −0.0818569 | − | 1.24889i | −0.819252 | − | 0.573433i | \(-0.805611\pi\) |
0.737395 | − | 0.675461i | \(-0.236056\pi\) | |||||||
\(390\) | −15.4004 | − | 3.04526i | −0.779832 | − | 0.154203i | ||||
\(391\) | 2.42582 | − | 0.319365i | 0.122679 | − | 0.0161510i | ||||
\(392\) | 3.63938 | − | 0.420172i | 0.183817 | − | 0.0212219i | ||||
\(393\) | −13.7686 | − | 1.72242i | −0.694535 | − | 0.0868846i | ||||
\(394\) | −4.02949 | + | 0.779258i | −0.203003 | + | 0.0392584i | ||||
\(395\) | −1.89490 | + | 9.52632i | −0.0953429 | + | 0.479321i | ||||
\(396\) | −30.7752 | − | 1.94729i | −1.54651 | − | 0.0978552i | ||||
\(397\) | −18.5224 | + | 27.7207i | −0.929612 | + | 1.39126i | −0.00935165 | + | 0.999956i | \(0.502977\pi\) |
−0.920260 | + | 0.391306i | \(0.872023\pi\) | |||||||
\(398\) | −14.3610 | + | 14.2090i | −0.719850 | + | 0.712233i | ||||
\(399\) | 26.3834 | − | 26.7259i | 1.32082 | − | 1.33797i | ||||
\(400\) | 11.8663 | − | 8.71059i | 0.593315 | − | 0.435530i | ||||
\(401\) | 1.28329 | − | 4.78929i | 0.0640843 | − | 0.239166i | −0.926453 | − | 0.376411i | \(-0.877158\pi\) |
0.990537 | + | 0.137245i | \(0.0438248\pi\) | |||||||
\(402\) | 12.6491 | − | 21.9662i | 0.630880 | − | 1.09557i | ||||
\(403\) | −4.12524 | − | 8.36515i | −0.205493 | − | 0.416698i | ||||
\(404\) | 12.7311 | + | 11.4067i | 0.633396 | + | 0.567506i | ||||
\(405\) | 7.94731 | + | 6.61489i | 0.394905 | + | 0.328697i | ||||
\(406\) | −21.9429 | − | 1.55547i | −1.08901 | − | 0.0771969i | ||||
\(407\) | −37.0328 | − | 4.87547i | −1.83565 | − | 0.241668i | ||||
\(408\) | −0.915028 | − | 2.78222i | −0.0453006 | − | 0.137740i | ||||
\(409\) | 3.96268 | − | 0.521697i | 0.195942 | − | 0.0257963i | −0.0319163 | − | 0.999491i | \(-0.510161\pi\) |
0.227858 | + | 0.973694i | \(0.426828\pi\) | |||||||
\(410\) | 0.502876 | + | 8.35295i | 0.0248353 | + | 0.412523i | ||||
\(411\) | 17.5628 | − | 11.8996i | 0.866310 | − | 0.586965i | ||||
\(412\) | −4.66435 | + | 5.94663i | −0.229796 | + | 0.292969i | ||||
\(413\) | −22.9640 | + | 4.56783i | −1.12999 | + | 0.224768i | ||||
\(414\) | 6.76612 | + | 15.9910i | 0.332536 | + | 0.785915i | ||||
\(415\) | 5.67595 | 0.278622 | ||||||||
\(416\) | −14.7045 | + | 27.9205i | −0.720947 | + | 1.36892i | ||||
\(417\) | −7.56744 | − | 4.30424i | −0.370579 | − | 0.210779i | ||||
\(418\) | 54.2099 | + | 7.43042i | 2.65149 | + | 0.363434i | ||||
\(419\) | 7.08187 | − | 6.21063i | 0.345972 | − | 0.303409i | −0.468670 | − | 0.883373i | \(-0.655267\pi\) |
0.814642 | + | 0.579964i | \(0.196933\pi\) | |||||||
\(420\) | −1.44856 | − | 11.3708i | −0.0706823 | − | 0.554837i | ||||
\(421\) | 1.20883 | + | 18.4432i | 0.0589147 | + | 0.898864i | 0.920374 | + | 0.391038i | \(0.127884\pi\) |
−0.861460 | + | 0.507826i | \(0.830449\pi\) | |||||||
\(422\) | 2.53836 | + | 1.26861i | 0.123565 | + | 0.0617550i | ||||
\(423\) | 23.8099 | − | 3.44759i | 1.15768 | − | 0.167627i | ||||
\(424\) | 1.21018 | + | 6.63565i | 0.0587714 | + | 0.322255i | ||||
\(425\) | 0.287170 | − | 2.18127i | 0.0139298 | − | 0.105807i | ||||
\(426\) | 14.9494 | + | 0.962879i | 0.724302 | + | 0.0466516i | ||||
\(427\) | −25.7604 | + | 8.74449i | −1.24664 | + | 0.423176i | ||||
\(428\) | 11.3790 | + | 17.4285i | 0.550026 | + | 0.842436i | ||||
\(429\) | 49.5710 | + | 2.92815i | 2.39331 | + | 0.141372i | ||||
\(430\) | 0.0370650 | − | 6.96836i | 0.00178744 | − | 0.336044i | ||||
\(431\) | 19.6354 | − | 19.6354i | 0.945805 | − | 0.945805i | −0.0528005 | − | 0.998605i | \(-0.516815\pi\) |
0.998605 | + | 0.0528005i | \(0.0168147\pi\) | |||||||
\(432\) | 17.3040 | − | 11.5139i | 0.832540 | − | 0.553964i | ||||
\(433\) | 0.766640 | + | 0.766640i | 0.0368424 | + | 0.0368424i | 0.725288 | − | 0.688446i | \(-0.241707\pi\) |
−0.688446 | + | 0.725288i | \(0.741707\pi\) | |||||||
\(434\) | 4.84116 | − | 4.78993i | 0.232383 | − | 0.229924i | ||||
\(435\) | −0.633728 | + | 10.7285i | −0.0303849 | + | 0.514390i | ||||
\(436\) | 5.59073 | + | 29.7575i | 0.267747 | + | 1.42512i | ||||
\(437\) | −9.90352 | − | 29.1748i | −0.473750 | − | 1.39562i | ||||
\(438\) | −25.2138 | + | 22.1623i | −1.20476 | + | 1.05896i | ||||
\(439\) | −18.9251 | − | 2.49154i | −0.903246 | − | 0.118915i | −0.335425 | − | 0.942067i | \(-0.608880\pi\) |
−0.567821 | + | 0.823152i | \(0.692213\pi\) | |||||||
\(440\) | 11.9963 | − | 11.6194i | 0.571902 | − | 0.553935i | ||||
\(441\) | 3.60888 | + | 1.44060i | 0.171851 | + | 0.0686001i | ||||
\(442\) | 1.49226 | + | 4.47409i | 0.0709794 | + | 0.212811i | ||||
\(443\) | −10.4461 | + | 0.684670i | −0.496307 | + | 0.0325297i | −0.311502 | − | 0.950246i | \(-0.600832\pi\) |
−0.184805 | + | 0.982775i | \(0.559165\pi\) | |||||||
\(444\) | 21.8559 | − | 12.4967i | 1.03723 | − | 0.593067i | ||||
\(445\) | 8.43813 | + | 9.62184i | 0.400006 | + | 0.456119i | ||||
\(446\) | 5.69817 | − | 4.32440i | 0.269816 | − | 0.204766i | ||||
\(447\) | 0.615804 | − | 1.08267i | 0.0291265 | − | 0.0512084i | ||||
\(448\) | −22.7365 | − | 3.73487i | −1.07420 | − | 0.176456i | ||||
\(449\) | 29.9797i | 1.41483i | 0.706798 | + | 0.707416i | \(0.250139\pi\) | ||||
−0.706798 | + | 0.707416i | \(0.749861\pi\) | |||||||
\(450\) | 15.4636 | − | 2.15517i | 0.728963 | − | 0.101596i | ||||
\(451\) | −5.16396 | − | 25.9610i | −0.243162 | − | 1.22246i | ||||
\(452\) | −7.10342 | − | 12.6114i | −0.334117 | − | 0.593192i | ||||
\(453\) | −8.29043 | − | 12.2360i | −0.389518 | − | 0.574895i | ||||
\(454\) | −21.0855 | − | 18.6908i | −0.989590 | − | 0.877202i | ||||
\(455\) | 2.40935 | + | 18.3008i | 0.112952 | + | 0.857955i | ||||
\(456\) | −32.1131 | + | 18.1356i | −1.50384 | + | 0.849278i | ||||
\(457\) | −1.79299 | + | 13.6191i | −0.0838725 | + | 0.637075i | 0.896944 | + | 0.442144i | \(0.145782\pi\) |
−0.980817 | + | 0.194932i | \(0.937552\pi\) | |||||||
\(458\) | −11.3939 | − | 13.1325i | −0.532402 | − | 0.613642i | ||||
\(459\) | 0.546993 | − | 3.05795i | 0.0255315 | − | 0.142733i | ||||
\(460\) | −8.87226 | − | 3.11737i | −0.413671 | − | 0.145348i | ||||
\(461\) | −11.3371 | + | 5.59083i | −0.528020 | + | 0.260391i | −0.686702 | − | 0.726939i | \(-0.740942\pi\) |
0.158682 | + | 0.987330i | \(0.449276\pi\) | |||||||
\(462\) | 9.42390 | + | 35.0122i | 0.438439 | + | 1.62892i | ||||
\(463\) | 18.9583 | + | 5.07987i | 0.881069 | + | 0.236082i | 0.670868 | − | 0.741577i | \(-0.265922\pi\) |
0.210200 | + | 0.977658i | \(0.432588\pi\) | |||||||
\(464\) | 20.3041 | + | 7.37767i | 0.942595 | + | 0.342500i | ||||
\(465\) | −2.36780 | − | 2.33746i | −0.109804 | − | 0.108397i | ||||
\(466\) | −19.1243 | − | 0.101723i | −0.885914 | − | 0.00471222i | ||||
\(467\) | 30.0060 | + | 20.0494i | 1.38851 | + | 0.927774i | 0.999980 | + | 0.00633907i | \(0.00201780\pi\) |
0.388532 | + | 0.921435i | \(0.372982\pi\) | |||||||
\(468\) | −27.7873 | + | 18.6578i | −1.28447 | + | 0.862459i | ||||
\(469\) | −29.2317 | − | 5.81454i | −1.34979 | − | 0.268491i | ||||
\(470\) | −7.29648 | + | 10.7952i | −0.336561 | + | 0.497946i | ||||
\(471\) | 0.356251 | − | 2.84778i | 0.0164152 | − | 0.131219i | ||||
\(472\) | 22.9173 | + | 1.86976i | 1.05485 | + | 0.0860626i | ||||
\(473\) | 2.87711 | + | 21.8538i | 0.132290 | + | 1.00484i | ||||
\(474\) | 11.5244 | + | 17.2054i | 0.529334 | + | 0.790271i | ||||
\(475\) | −27.6446 | + | 1.81192i | −1.26842 | + | 0.0831368i | ||||
\(476\) | −2.75427 | + | 2.06725i | −0.126242 | + | 0.0947521i | ||||
\(477\) | −2.21210 | + | 6.80368i | −0.101285 | + | 0.311519i | ||||
\(478\) | 11.0094 | + | 8.54120i | 0.503556 | + | 0.390665i | ||||
\(479\) | 19.8906 | + | 11.4838i | 0.908825 | + | 0.524710i | 0.880053 | − | 0.474876i | \(-0.157507\pi\) |
0.0287718 | + | 0.999586i | \(0.490840\pi\) | |||||||
\(480\) | −1.69384 | + | 11.1287i | −0.0773129 | + | 0.507951i | ||||
\(481\) | −35.1106 | + | 20.2711i | −1.60091 | + | 0.924284i | ||||
\(482\) | −20.2167 | − | 2.77105i | −0.920846 | − | 0.126218i | ||||
\(483\) | 15.2627 | − | 13.5601i | 0.694476 | − | 0.617007i | ||||
\(484\) | −19.0260 | + | 24.2564i | −0.864818 | + | 1.10257i | ||||
\(485\) | −11.6604 | − | 17.4510i | −0.529470 | − | 0.792408i | ||||
\(486\) | 21.9514 | − | 2.03353i | 0.995737 | − | 0.0922427i | ||||
\(487\) | 14.3576 | + | 5.94713i | 0.650607 | + | 0.269490i | 0.683480 | − | 0.729969i | \(-0.260466\pi\) |
−0.0328730 | + | 0.999460i | \(0.510466\pi\) | |||||||
\(488\) | 26.6829 | − | 1.32169i | 1.20788 | − | 0.0598302i | ||||
\(489\) | −10.5504 | + | 13.9348i | −0.477108 | + | 0.630151i | ||||
\(490\) | −1.89241 | + | 0.920752i | −0.0854904 | + | 0.0415954i | ||||
\(491\) | 0.0818100 | + | 0.241004i | 0.00369203 | + | 0.0108764i | 0.948761 | − | 0.315996i | \(-0.102339\pi\) |
−0.945068 | + | 0.326872i | \(0.894005\pi\) | |||||||
\(492\) | 13.3642 | + | 11.8195i | 0.602506 | + | 0.532866i | ||||
\(493\) | 2.89582 | − | 1.42806i | 0.130421 | − | 0.0643167i | ||||
\(494\) | 51.5901 | − | 29.4208i | 2.32115 | − | 1.32370i | ||||
\(495\) | 17.0499 | − | 4.80503i | 0.766337 | − | 0.215970i | ||||
\(496\) | −5.86181 | + | 3.22003i | −0.263203 | + | 0.144583i | ||||
\(497\) | −4.55889 | − | 17.0140i | −0.204494 | − | 0.763183i | ||||
\(498\) | 8.54728 | − | 8.56662i | 0.383013 | − | 0.383879i | ||||
\(499\) | 1.55325 | − | 23.6980i | 0.0695331 | − | 1.06087i | −0.810432 | − | 0.585832i | \(-0.800768\pi\) |
0.879966 | − | 0.475038i | \(-0.157566\pi\) | |||||||
\(500\) | −11.2566 | + | 16.4648i | −0.503410 | + | 0.736327i | ||||
\(501\) | 13.2849 | − | 15.3470i | 0.593525 | − | 0.685655i | ||||
\(502\) | 3.02753 | + | 15.6552i | 0.135125 | + | 0.698724i | ||||
\(503\) | −9.95335 | + | 4.12281i | −0.443798 | + | 0.183827i | −0.593380 | − | 0.804922i | \(-0.702207\pi\) |
0.149583 | + | 0.988749i | \(0.452207\pi\) | |||||||
\(504\) | −19.3431 | − | 14.9367i | −0.861608 | − | 0.665334i | ||||
\(505\) | −9.07196 | − | 3.75773i | −0.403697 | − | 0.167217i | ||||
\(506\) | 29.1435 | + | 5.95833i | 1.29559 | + | 0.264880i | ||||
\(507\) | 25.9797 | − | 17.6025i | 1.15380 | − | 0.781753i | ||||
\(508\) | −16.3867 | + | 16.0417i | −0.727042 | + | 0.711736i | ||||
\(509\) | 0.711175 | − | 0.623683i | 0.0315223 | − | 0.0276443i | −0.643440 | − | 0.765497i | \(-0.722493\pi\) |
0.674962 | + | 0.737852i | \(0.264160\pi\) | |||||||
\(510\) | 1.02572 | + | 1.33362i | 0.0454197 | + | 0.0590539i | ||||
\(511\) | 34.1833 | + | 19.7357i | 1.51218 | + | 0.873057i | ||||
\(512\) | 20.4667 | + | 9.64958i | 0.904509 | + | 0.426455i | ||||
\(513\) | −39.1101 | + | 0.756716i | −1.72675 | + | 0.0334098i | ||||
\(514\) | 21.3522 | − | 2.69561i | 0.941805 | − | 0.118898i | ||||
\(515\) | 1.39553 | − | 4.11108i | 0.0614942 | − | 0.181156i | ||||
\(516\) | −10.4614 | − | 10.5494i | −0.460538 | − | 0.464413i | ||||
\(517\) | 18.2291 | − | 36.9649i | 0.801714 | − | 1.62571i | ||||
\(518\) | −22.1524 | − | 19.6365i | −0.973319 | − | 0.862780i | ||||
\(519\) | 23.8160 | + | 9.68547i | 1.04541 | + | 0.425145i | ||||
\(520\) | 2.65255 | − | 17.9321i | 0.116322 | − | 0.786375i | ||||
\(521\) | −8.98375 | − | 21.6887i | −0.393585 | − | 0.950199i | −0.989152 | − | 0.146893i | \(-0.953073\pi\) |
0.595567 | − | 0.803306i | \(-0.296927\pi\) | |||||||
\(522\) | 15.2380 | + | 17.1122i | 0.666948 | + | 0.748981i | ||||
\(523\) | −16.4070 | − | 3.26356i | −0.717430 | − | 0.142706i | −0.177141 | − | 0.984185i | \(-0.556685\pi\) |
−0.540289 | + | 0.841480i | \(0.681685\pi\) | |||||||
\(524\) | 1.21795 | − | 15.9762i | 0.0532062 | − | 0.697923i | ||||
\(525\) | −8.22560 | − | 16.4122i | −0.358995 | − | 0.716287i | ||||
\(526\) | 43.1454 | − | 11.3152i | 1.88123 | − | 0.493364i | ||||
\(527\) | −0.258715 | + | 0.965536i | −0.0112698 | + | 0.0420594i | ||||
\(528\) | 0.527941 | − | 35.6033i | 0.0229757 | − | 1.54943i | ||||
\(529\) | 1.61773 | + | 6.03744i | 0.0703360 | + | 0.262497i | ||||
\(530\) | −1.91948 | − | 3.36585i | −0.0833767 | − | 0.146203i | ||||
\(531\) | 20.4511 | + | 13.2867i | 0.887504 | + | 0.576595i | ||||
\(532\) | 32.2971 | + | 28.9374i | 1.40026 | + | 1.25459i | ||||
\(533\) | −21.6004 | − | 18.9431i | −0.935618 | − | 0.820515i | ||||
\(534\) | 27.2289 | + | 1.75378i | 1.17831 | + | 0.0758937i | ||||
\(535\) | −9.48588 | − | 7.27877i | −0.410110 | − | 0.314689i | ||||
\(536\) | 26.0408 | + | 13.3626i | 1.12479 | + | 0.577177i | ||||
\(537\) | 0.467953 | + | 3.38560i | 0.0201937 | + | 0.146099i | ||||
\(538\) | 0.880627 | + | 1.33325i | 0.0379665 | + | 0.0574804i | ||||
\(539\) | 5.53504 | − | 3.69840i | 0.238411 | − | 0.159301i | ||||
\(540\) | −7.18565 | + | 9.53530i | −0.309221 | + | 0.410334i | ||||
\(541\) | 1.93768 | + | 9.74140i | 0.0833075 | + | 0.418815i | 0.999823 | + | 0.0188160i | \(0.00598966\pi\) |
−0.916515 | + | 0.399999i | \(0.869010\pi\) | |||||||
\(542\) | −2.05642 | + | 0.839010i | −0.0883308 | + | 0.0360386i | ||||
\(543\) | −13.3882 | − | 22.8476i | −0.574545 | − | 0.980484i | ||||
\(544\) | 3.15780 | − | 1.21066i | 0.135389 | − | 0.0519066i | ||||
\(545\) | −8.69658 | − | 15.0629i | −0.372521 | − | 0.645225i | ||||
\(546\) | 31.2492 | + | 23.9224i | 1.33734 | + | 1.02378i | ||||
\(547\) | 7.16103 | − | 21.0957i | 0.306184 | − | 0.901988i | −0.679543 | − | 0.733635i | \(-0.737822\pi\) |
0.985727 | − | 0.168352i | \(-0.0538447\pi\) | |||||||
\(548\) | 14.7049 | + | 19.5918i | 0.628160 | + | 0.836920i | ||||
\(549\) | 25.5735 | + | 12.2040i | 1.09145 | + | 0.520853i | ||||
\(550\) | 11.9576 | − | 23.9259i | 0.509873 | − | 1.02020i | ||||
\(551\) | −24.7508 | − | 32.2558i | −1.05442 | − | 1.37415i | ||||
\(552\) | −18.0655 | + | 8.69637i | −0.768920 | + | 0.370142i | ||||
\(553\) | 14.8229 | − | 19.3176i | 0.630334 | − | 0.821468i | ||||
\(554\) | −19.5264 | + | 9.50058i | −0.829598 | + | 0.403641i | ||||
\(555\) | −9.46545 | + | 10.9347i | −0.401786 | + | 0.464153i | ||||
\(556\) | 4.54185 | − | 8.96818i | 0.192617 | − | 0.380336i | ||||
\(557\) | 6.36163 | − | 9.52086i | 0.269551 | − | 0.403412i | −0.671857 | − | 0.740681i | \(-0.734503\pi\) |
0.941408 | + | 0.337269i | \(0.109503\pi\) | |||||||
\(558\) | −7.09350 | + | 0.0537575i | −0.300292 | + | 0.00227574i | ||||
\(559\) | 16.9174 | + | 16.9174i | 0.715528 | + | 0.715528i | ||||
\(560\) | 13.0336 | − | 2.30545i | 0.550771 | − | 0.0974228i | ||||
\(561\) | −3.78733 | − | 3.73880i | −0.159901 | − | 0.157852i | ||||
\(562\) | −21.2904 | + | 5.58355i | −0.898082 | + | 0.235528i | ||||
\(563\) | 41.2309 | + | 2.70242i | 1.73768 | + | 0.113893i | 0.901005 | − | 0.433810i | \(-0.142831\pi\) |
0.836673 | + | 0.547703i | \(0.184498\pi\) | |||||||
\(564\) | 5.30542 | + | 27.2687i | 0.223398 | + | 1.14822i | ||||
\(565\) | 6.25136 | + | 5.48230i | 0.262997 | + | 0.230642i | ||||
\(566\) | −34.5983 | + | 30.0178i | −1.45427 | + | 1.26174i | ||||
\(567\) | −10.5340 | − | 23.6844i | −0.442388 | − | 0.994651i | ||||
\(568\) | −0.276011 | + | 17.2957i | −0.0115812 | + | 0.725711i | ||||
\(569\) | 6.12675 | + | 7.98454i | 0.256847 | + | 0.334729i | 0.903922 | − | 0.427697i | \(-0.140675\pi\) |
−0.647075 | + | 0.762426i | \(0.724008\pi\) | |||||||
\(570\) | 13.9507 | − | 15.9441i | 0.584333 | − | 0.667824i | ||||
\(571\) | 17.0190 | + | 8.39285i | 0.712224 | + | 0.351230i | 0.762041 | − | 0.647528i | \(-0.224197\pi\) |
−0.0498175 | + | 0.998758i | \(0.515864\pi\) | |||||||
\(572\) | −0.609965 | + | 57.3362i | −0.0255039 | + | 2.39735i | ||||
\(573\) | 4.29681 | + | 20.8964i | 0.179502 | + | 0.872958i | ||||
\(574\) | 8.13084 | − | 19.3380i | 0.339375 | − | 0.807153i | ||||
\(575\) | −15.0610 | −0.628088 | ||||||||
\(576\) | 14.2456 | + | 19.3149i | 0.593565 | + | 0.804786i | ||||
\(577\) | 16.5518 | 0.689061 | 0.344531 | − | 0.938775i | \(-0.388038\pi\) | ||||
0.344531 | + | 0.938775i | \(0.388038\pi\) | |||||||
\(578\) | −9.12243 | + | 21.6964i | −0.379443 | + | 0.902450i | ||||
\(579\) | −39.4405 | − | 13.1052i | −1.63909 | − | 0.544634i | ||||
\(580\) | −12.4091 | − | 0.132013i | −0.515258 | − | 0.00548152i | ||||
\(581\) | −12.7616 | − | 6.29332i | −0.529440 | − | 0.261091i | ||||
\(582\) | −43.8975 | − | 8.68022i | −1.81961 | − | 0.359807i | ||||
\(583\) | 7.46118 | + | 9.72359i | 0.309010 | + | 0.402710i | ||||
\(584\) | −26.9685 | − | 27.8432i | −1.11596 | − | 1.15216i | ||||
\(585\) | 11.5069 | − | 15.4034i | 0.475750 | − | 0.636850i | ||||
\(586\) | −24.3865 | + | 21.1580i | −1.00740 | + | 0.874029i | ||||
\(587\) | 25.1892 | + | 22.0903i | 1.03967 | + | 0.911766i | 0.996183 | − | 0.0872880i | \(-0.0278200\pi\) |
0.0434868 | + | 0.999054i | \(0.486153\pi\) | |||||||
\(588\) | −1.46006 | + | 4.24272i | −0.0602119 | + | 0.174967i | ||||
\(589\) | 12.5601 | + | 0.823235i | 0.517532 | + | 0.0339208i | ||||
\(590\) | −12.7765 | + | 3.35071i | −0.525998 | + | 0.137946i | ||||
\(591\) | 1.26963 | − | 4.86355i | 0.0522254 | − | 0.200060i | ||||
\(592\) | 15.6331 | + | 24.5099i | 0.642518 | + | 1.00735i | ||||
\(593\) | −13.3996 | − | 13.3996i | −0.550258 | − | 0.550258i | 0.376258 | − | 0.926515i | \(-0.377211\pi\) |
−0.926515 | + | 0.376258i | \(0.877211\pi\) | |||||||
\(594\) | 18.4229 | − | 32.9689i | 0.755902 | − | 1.35273i | ||||
\(595\) | 1.09906 | − | 1.64486i | 0.0450572 | − | 0.0674328i | ||||
\(596\) | 1.28307 | + | 0.649799i | 0.0525566 | + | 0.0266168i | ||||
\(597\) | −8.10419 | − | 23.3778i | −0.331682 | − | 0.956789i | ||||
\(598\) | 29.0326 | − | 14.1258i | 1.18723 | − | 0.577647i | ||||
\(599\) | −3.89191 | + | 5.07204i | −0.159019 | + | 0.207238i | −0.866067 | − | 0.499928i | \(-0.833360\pi\) |
0.707048 | + | 0.707166i | \(0.250027\pi\) | |||||||
\(600\) | 3.34889 | + | 17.7147i | 0.136718 | + | 0.723199i | ||||
\(601\) | −2.73118 | − | 3.55934i | −0.111407 | − | 0.145188i | 0.734322 | − | 0.678802i | \(-0.237500\pi\) |
−0.845729 | + | 0.533613i | \(0.820834\pi\) | |||||||
\(602\) | −7.80963 | + | 15.6263i | −0.318297 | + | 0.636879i | ||||
\(603\) | 17.5789 | + | 25.5881i | 0.715869 | + | 1.04203i | ||||
\(604\) | 13.6495 | − | 10.2448i | 0.555392 | − | 0.416856i | ||||
\(605\) | 5.69238 | − | 16.7692i | 0.231428 | − | 0.681766i | ||||
\(606\) | −19.3327 | + | 8.03348i | −0.785339 | + | 0.326338i | ||||
\(607\) | −4.73110 | − | 8.19450i | −0.192029 | − | 0.332604i | 0.753893 | − | 0.656997i | \(-0.228174\pi\) |
−0.945923 | + | 0.324392i | \(0.894840\pi\) | |||||||
\(608\) | −22.7094 | − | 36.0253i | −0.920987 | − | 1.46102i | ||||
\(609\) | 13.3202 | − | 23.4188i | 0.539763 | − | 0.948977i | ||||
\(610\) | −14.2096 | + | 5.79744i | −0.575328 | + | 0.234731i | ||||
\(611\) | −8.72738 | − | 43.8755i | −0.353072 | − | 1.77501i | ||||
\(612\) | 3.55743 | + | 0.460170i | 0.143800 | + | 0.0186013i | ||||
\(613\) | −26.5343 | + | 17.7297i | −1.07171 | + | 0.716094i | −0.960662 | − | 0.277721i | \(-0.910421\pi\) |
−0.111049 | + | 0.993815i | \(0.535421\pi\) | |||||||
\(614\) | −8.95750 | − | 13.5614i | −0.361495 | − | 0.547295i | ||||
\(615\) | −9.49371 | − | 3.86089i | −0.382823 | − | 0.155686i | ||||
\(616\) | −39.8553 | + | 12.8236i | −1.60582 | + | 0.516676i | ||||
\(617\) | 2.66679 | + | 2.04630i | 0.107361 | + | 0.0823808i | 0.661047 | − | 0.750345i | \(-0.270113\pi\) |
−0.553686 | + | 0.832726i | \(0.686779\pi\) | |||||||
\(618\) | −4.10330 | − | 8.29703i | −0.165059 | − | 0.333755i | ||||
\(619\) | −22.8363 | − | 20.0269i | −0.917870 | − | 0.804950i | 0.0633207 | − | 0.997993i | \(-0.479831\pi\) |
−0.981190 | + | 0.193043i | \(0.938164\pi\) | |||||||
\(620\) | 2.56373 | − | 2.86139i | 0.102962 | − | 0.114916i | ||||
\(621\) | −21.2433 | − | 0.980094i | −0.852465 | − | 0.0393298i | ||||
\(622\) | 5.57758 | + | 9.78043i | 0.223641 | + | 0.392160i | ||||
\(623\) | −8.30355 | − | 30.9893i | −0.332675 | − | 1.24156i | ||||
\(624\) | −23.0702 | − | 31.0070i | −0.923547 | − | 1.24127i | ||||
\(625\) | −1.79696 | + | 6.70634i | −0.0718784 | + | 0.268254i | ||||
\(626\) | −3.52226 | + | 0.923736i | −0.140778 | + | 0.0369199i | ||||
\(627\) | −36.8709 | + | 55.9591i | −1.47248 | + | 2.23479i | ||||
\(628\) | 3.30438 | + | 0.251909i | 0.131859 | + | 0.0100523i | ||||
\(629\) | 4.26151 | + | 0.847667i | 0.169918 | + | 0.0337987i | ||||
\(630\) | 13.3276 | + | 4.41177i | 0.530985 | + | 0.175769i | ||||
\(631\) | −3.08391 | − | 7.44521i | −0.122768 | − | 0.296389i | 0.850532 | − | 0.525923i | \(-0.176280\pi\) |
−0.973301 | + | 0.229534i | \(0.926280\pi\) | |||||||
\(632\) | −19.2005 | + | 14.2522i | −0.763756 | + | 0.566920i | ||||
\(633\) | −2.74358 | + | 2.13348i | −0.109048 | + | 0.0847981i | ||||
\(634\) | −27.4976 | − | 24.3747i | −1.09207 | − | 0.968042i | ||||
\(635\) | 5.82628 | − | 11.8145i | 0.231209 | − | 0.468845i | ||||
\(636\) | −7.97051 | − | 2.17152i | −0.316051 | − | 0.0861064i | ||||
\(637\) | 2.32254 | − | 6.84198i | 0.0920224 | − | 0.271089i | ||||
\(638\) | 38.9450 | − | 4.91661i | 1.54185 | − | 0.194650i | ||||
\(639\) | −8.96791 | + | 16.0061i | −0.354765 | + | 0.633192i | ||||
\(640\) | −12.9298 | − | 1.33235i | −0.511095 | − | 0.0526659i | ||||
\(641\) | 18.1576 | + | 10.4833i | 0.717181 | + | 0.414065i | 0.813714 | − | 0.581265i | \(-0.197442\pi\) |
−0.0965332 | + | 0.995330i | \(0.530775\pi\) | |||||||
\(642\) | −25.2703 | + | 3.35594i | −0.997339 | + | 0.132448i | ||||
\(643\) | −18.0506 | + | 15.8299i | −0.711844 | + | 0.624271i | −0.936705 | − | 0.350120i | \(-0.886141\pi\) |
0.224860 | + | 0.974391i | \(0.427807\pi\) | |||||||
\(644\) | 16.4916 | + | 16.8463i | 0.649860 | + | 0.663835i | ||||
\(645\) | 7.67861 | + | 3.72531i | 0.302345 | + | 0.146684i | ||||
\(646\) | −6.23591 | − | 1.27492i | −0.245349 | − | 0.0501610i | ||||
\(647\) | −14.5168 | − | 6.01307i | −0.570715 | − | 0.236398i | 0.0786143 | − | 0.996905i | \(-0.474950\pi\) |
−0.649330 | + | 0.760507i | \(0.724950\pi\) | |||||||
\(648\) | 3.57077 | + | 25.2042i | 0.140273 | + | 0.990113i | ||||
\(649\) | 38.6004 | − | 15.9888i | 1.51520 | − | 0.627615i | ||||
\(650\) | −5.51229 | − | 28.5037i | −0.216210 | − | 1.11801i | ||||
\(651\) | 2.73197 | + | 7.88079i | 0.107074 | + | 0.308872i | ||||
\(652\) | −16.6606 | − | 11.3905i | −0.652480 | − | 0.446086i | ||||
\(653\) | −2.67590 | + | 40.8264i | −0.104716 | + | 1.59766i | 0.545633 | + | 0.838024i | \(0.316289\pi\) |
−0.650349 | + | 0.759636i | \(0.725377\pi\) | |||||||
\(654\) | −35.8302 | − | 9.55730i | −1.40107 | − | 0.373720i | ||||
\(655\) | 2.38220 | + | 8.89049i | 0.0930802 | + | 0.347380i | ||||
\(656\) | −12.8860 | + | 16.0734i | −0.503115 | + | 0.627563i | ||||
\(657\) | −11.1524 | − | 39.5725i | −0.435095 | − | 1.54387i | ||||
\(658\) | 28.3745 | − | 16.1814i | 1.10615 | − | 0.630817i | ||||
\(659\) | 14.9616 | − | 7.37824i | 0.582821 | − | 0.287416i | −0.126880 | − | 0.991918i | \(-0.540496\pi\) |
0.709702 | + | 0.704502i | \(0.248830\pi\) | |||||||
\(660\) | 6.49366 | + | 19.3963i | 0.252766 | + | 0.755000i | ||||
\(661\) | 6.53813 | + | 19.2607i | 0.254304 | + | 0.749155i | 0.996846 | + | 0.0793561i | \(0.0252864\pi\) |
−0.742542 | + | 0.669799i | \(0.766380\pi\) | |||||||
\(662\) | −10.5418 | + | 5.12913i | −0.409720 | + | 0.199349i | ||||
\(663\) | −5.73170 | − | 0.717021i | −0.222601 | − | 0.0278468i | ||||
\(664\) | 10.3574 | + | 9.37980i | 0.401947 | + | 0.364007i | ||||
\(665\) | −23.0144 | − | 9.53286i | −0.892459 | − | 0.369669i | ||||
\(666\) | 2.24979 | + | 30.7524i | 0.0871776 | + | 1.19163i | ||||
\(667\) | −12.2799 | − | 18.3781i | −0.475479 | − | 0.711604i | ||||
\(668\) | 18.4421 | + | 14.4654i | 0.713546 | + | 0.559683i | ||||
\(669\) | 1.76455 | + | 8.58141i | 0.0682215 | + | 0.331777i | ||||
\(670\) | −16.6578 | − | 2.28325i | −0.643548 | − | 0.0882095i | ||||
\(671\) | 42.0405 | − | 24.2721i | 1.62296 | − | 0.937014i | ||||
\(672\) | 16.1475 | − | 23.1431i | 0.622902 | − | 0.892766i | ||||
\(673\) | 20.0011 | + | 11.5476i | 0.770984 | + | 0.445128i | 0.833225 | − | 0.552933i | \(-0.186492\pi\) |
−0.0622416 | + | 0.998061i | \(0.519825\pi\) | |||||||
\(674\) | −8.81256 | − | 6.83689i | −0.339447 | − | 0.263347i | ||||
\(675\) | −5.79515 | + | 18.2228i | −0.223056 | + | 0.701395i | ||||
\(676\) | 21.7521 | + | 28.9811i | 0.836619 | + | 1.11466i | ||||
\(677\) | 18.9060 | − | 1.23916i | 0.726616 | − | 0.0476249i | 0.302394 | − | 0.953183i | \(-0.402214\pi\) |
0.424222 | + | 0.905558i | \(0.360548\pi\) | |||||||
\(678\) | 17.6881 | − | 1.17941i | 0.679308 | − | 0.0452949i | ||||
\(679\) | 6.86761 | + | 52.1647i | 0.263555 | + | 2.00190i | ||||
\(680\) | −1.48088 | + | 1.25746i | −0.0567891 | + | 0.0482215i | ||||
\(681\) | 31.7969 | − | 13.4116i | 1.21846 | − | 0.513933i | ||||
\(682\) | −6.80526 | + | 10.0684i | −0.260587 | + | 0.385541i | ||||
\(683\) | −3.43597 | − | 0.683457i | −0.131474 | − | 0.0261518i | 0.128915 | − | 0.991656i | \(-0.458851\pi\) |
−0.260389 | + | 0.965504i | \(0.583851\pi\) | |||||||
\(684\) | −3.05601 | − | 45.0654i | −0.116850 | − | 1.72312i | ||||
\(685\) | −11.7003 | − | 7.81791i | −0.447047 | − | 0.298707i | ||||
\(686\) | −23.2359 | − | 0.123593i | −0.887151 | − | 0.00471880i | ||||
\(687\) | 20.5323 | − | 5.64376i | 0.783355 | − | 0.215323i | ||||
\(688\) | 11.5832 | − | 12.6546i | 0.441605 | − | 0.482451i | ||||
\(689\) | 12.8497 | + | 3.44307i | 0.489535 | + | 0.131170i | ||||
\(690\) | 8.13489 | − | 8.15329i | 0.309690 | − | 0.310390i | ||||
\(691\) | −29.4478 | + | 14.5220i | −1.12025 | + | 0.552444i | −0.905551 | − | 0.424237i | \(-0.860542\pi\) |
−0.214695 | + | 0.976681i | \(0.568876\pi\) | |||||||
\(692\) | −9.84125 | + | 28.0089i | −0.374108 | + | 1.06474i | ||||
\(693\) | −43.6620 | − | 8.10098i | −1.65858 | − | 0.307731i | ||||
\(694\) | −14.7353 | − | 16.9838i | −0.559346 | − | 0.644697i | ||||
\(695\) | −0.753755 | + | 5.72534i | −0.0285916 | + | 0.217175i | ||||
\(696\) | −18.8857 | + | 18.5300i | −0.715862 | + | 0.702377i | ||||
\(697\) | 0.401898 | + | 3.05272i | 0.0152230 | + | 0.115630i | ||||
\(698\) | 21.2437 | + | 18.8311i | 0.804086 | + | 0.712766i | ||||
\(699\) | 10.2239 | − | 21.0735i | 0.386703 | − | 0.797074i | ||||
\(700\) | 18.4698 | − | 10.4032i | 0.698094 | − | 0.393203i | ||||
\(701\) | −8.14265 | − | 40.9358i | −0.307543 | − | 1.54613i | −0.757356 | − | 0.653002i | \(-0.773509\pi\) |
0.449812 | − | 0.893123i | \(-0.351491\pi\) | |||||||
\(702\) | −5.92011 | − | 40.5626i | −0.223440 | − | 1.53094i | ||||
\(703\) | − | 54.7130i | − | 2.06354i | ||||||
\(704\) | 41.0925 | − | 1.37859i | 1.54873 | − | 0.0519575i | ||||
\(705\) | −8.06803 | − | 13.7684i | −0.303860 | − | 0.518549i | ||||
\(706\) | −16.8575 | + | 12.7933i | −0.634439 | + | 0.481482i | ||||
\(707\) | 16.2306 | + | 18.5074i | 0.610414 | + | 0.696044i | ||||
\(708\) | −14.1826 | + | 24.3290i | −0.533015 | + | 0.914341i | ||||
\(709\) | −15.6379 | + | 1.02496i | −0.587292 | + | 0.0384932i | −0.356153 | − | 0.934428i | \(-0.615912\pi\) |
−0.231139 | + | 0.972921i | \(0.574245\pi\) | |||||||
\(710\) | −3.14396 | − | 9.42624i | −0.117991 | − | 0.353760i | ||||
\(711\) | −25.1008 | + | 3.63450i | −0.941352 | + | 0.136304i | ||||
\(712\) | −0.502725 | + | 31.5023i | −0.0188404 | + | 1.18060i | ||||
\(713\) | 6.78433 | + | 0.893175i | 0.254075 | + | 0.0334497i | ||||
\(714\) | −0.827511 | − | 4.13576i | −0.0309688 | − | 0.154777i | ||||
\(715\) | −10.5877 | − | 31.1904i | −0.395958 | − | 1.16646i | ||||
\(716\) | −3.87866 | + | 0.728709i | −0.144952 | + | 0.0272331i | ||||
\(717\) | −15.2567 | + | 7.64650i | −0.569773 | + | 0.285564i | ||||
\(718\) | 28.3194 | − | 28.0197i | 1.05687 | − | 1.04569i | ||||
\(719\) | −23.3799 | − | 23.3799i | −0.871923 | − | 0.871923i | 0.120759 | − | 0.992682i | \(-0.461467\pi\) |
−0.992682 | + | 0.120759i | \(0.961467\pi\) | |||||||
\(720\) | −11.3987 | − | 7.75528i | −0.424803 | − | 0.289022i | ||||
\(721\) | −7.69588 | + | 7.69588i | −0.286610 | + | 0.286610i | ||||
\(722\) | −0.283384 | + | 53.2771i | −0.0105464 | + | 1.98277i | ||||
\(723\) | 13.7504 | − | 20.8690i | 0.511384 | − | 0.776128i | ||||
\(724\) | 25.6039 | − | 16.7168i | 0.951561 | − | 0.621274i | ||||
\(725\) | −18.8202 | + | 6.38859i | −0.698964 | + | 0.237266i | ||||
\(726\) | −16.7375 | − | 33.8438i | −0.621186 | − | 1.25606i | ||||
\(727\) | 2.40742 | − | 18.2862i | 0.0892863 | − | 0.678197i | −0.887009 | − | 0.461753i | \(-0.847221\pi\) |
0.976295 | − | 0.216444i | \(-0.0694459\pi\) | |||||||
\(728\) | −25.8464 | + | 37.3768i | −0.957932 | + | 1.38527i | ||||
\(729\) | −9.35980 | + | 25.3258i | −0.346659 | + | 0.937991i | ||||
\(730\) | 19.9181 | + | 9.95456i | 0.737201 | + | 0.368435i | ||||
\(731\) | −0.167698 | − | 2.55858i | −0.00620254 | − | 0.0946324i | ||||
\(732\) | −12.6479 | + | 30.1765i | −0.467479 | + | 1.11535i | ||||
\(733\) | −16.2315 | + | 14.2347i | −0.599526 | + | 0.525770i | −0.904435 | − | 0.426611i | \(-0.859707\pi\) |
0.304909 | + | 0.952381i | \(0.401374\pi\) | |||||||
\(734\) | 19.9702 | + | 2.73727i | 0.737115 | + | 0.101035i | ||||
\(735\) | −0.0166213 | − | 2.57745i | −0.000613084 | − | 0.0950705i | ||||
\(736\) | −11.0384 | − | 20.3504i | −0.406882 | − | 0.750126i | ||||
\(737\) | 53.1841 | 1.95906 | ||||||||
\(738\) | −20.1235 | + | 8.51467i | −0.740757 | + | 0.313429i | ||||
\(739\) | 21.5274 | − | 4.28208i | 0.791900 | − | 0.157519i | 0.217464 | − | 0.976068i | \(-0.430221\pi\) |
0.574436 | + | 0.818550i | \(0.305221\pi\) | |||||||
\(740\) | −13.1400 | − | 10.3066i | −0.483034 | − | 0.378877i | ||||
\(741\) | 5.22518 | + | 72.5491i | 0.191952 | + | 2.66516i | ||||
\(742\) | 0.583726 | + | 9.69589i | 0.0214292 | + | 0.355947i | ||||
\(743\) | −11.8712 | + | 1.56287i | −0.435511 | + | 0.0573361i | −0.345094 | − | 0.938568i | \(-0.612153\pi\) |
−0.0904164 | + | 0.995904i | \(0.528820\pi\) | |||||||
\(744\) | −0.457983 | − | 8.17829i | −0.0167905 | − | 0.299831i | ||||
\(745\) | −0.819120 | − | 0.107839i | −0.0300102 | − | 0.00395092i | ||||
\(746\) | 15.3963 | + | 1.09140i | 0.563698 | + | 0.0399590i | ||||
\(747\) | 4.94469 | + | 13.9719i | 0.180917 | + | 0.511206i | ||||
\(748\) | 4.10072 | − | 4.57683i | 0.149937 | − | 0.167346i | ||||
\(749\) | 13.2572 | + | 26.8829i | 0.484407 | + | 0.982281i | ||||
\(750\) | −12.2376 | − | 21.1410i | −0.446854 | − | 0.771958i | ||||
\(751\) | −7.51215 | + | 28.0357i | −0.274122 | + | 1.02304i | 0.682305 | + | 0.731067i | \(0.260978\pi\) |
−0.956427 | + | 0.291970i | \(0.905689\pi\) | |||||||
\(752\) | −31.1542 | + | 7.64123i | −1.13608 | + | 0.278647i | ||||
\(753\) | −18.8956 | − | 4.93269i | −0.688594 | − | 0.179757i | ||||
\(754\) | 30.2871 | − | 29.9666i | 1.10299 | − | 1.09132i | ||||
\(755\) | −5.44671 | + | 8.15158i | −0.198226 | + | 0.296666i | ||||
\(756\) | 26.7284 | − | 13.4716i | 0.972101 | − | 0.489956i | ||||
\(757\) | −5.92284 | + | 29.7761i | −0.215269 | + | 1.08223i | 0.710371 | + | 0.703827i | \(0.248527\pi\) |
−0.925640 | + | 0.378404i | \(0.876473\pi\) | |||||||
\(758\) | 25.5567 | − | 4.94238i | 0.928261 | − | 0.179515i | ||||
\(759\) | −21.9914 | + | 29.0456i | −0.798236 | + | 1.05429i | ||||
\(760\) | 19.1679 | + | 15.2001i | 0.695292 | + | 0.551364i | ||||
\(761\) | 5.18055 | − | 0.682032i | 0.187795 | − | 0.0247236i | −0.0360421 | − | 0.999350i | \(-0.511475\pi\) |
0.223837 | + | 0.974627i | \(0.428142\pi\) | |||||||
\(762\) | −9.05780 | − | 26.5847i | −0.328129 | − | 0.963063i | ||||
\(763\) | 2.85176 | + | 43.5094i | 0.103240 | + | 1.57515i | ||||
\(764\) | −23.8610 | + | 6.12223i | −0.863260 | + | 0.221495i | ||||
\(765\) | −2.01563 | + | 0.428030i | −0.0728754 | + | 0.0154755i | ||||
\(766\) | 3.95818 | + | 31.3531i | 0.143015 | + | 1.13283i | ||||
\(767\) | 22.6744 | − | 39.2732i | 0.818724 | − | 1.41807i | ||||
\(768\) | −21.4816 | + | 17.5083i | −0.775149 | + | 0.631778i | ||||
\(769\) | 5.65877 | + | 9.80127i | 0.204060 | + | 0.353443i | 0.949833 | − | 0.312758i | \(-0.101253\pi\) |
−0.745773 | + | 0.666201i | \(0.767919\pi\) | |||||||
\(770\) | 19.1583 | − | 14.5394i | 0.690417 | − | 0.523964i | ||||
\(771\) | −8.31155 | + | 25.0138i | −0.299333 | + | 0.900852i | ||||
\(772\) | 12.9132 | − | 46.2203i | 0.464756 | − | 1.66350i | ||||
\(773\) | 42.5606 | − | 28.4381i | 1.53080 | − | 1.02285i | 0.548363 | − | 0.836240i | \(-0.315251\pi\) |
0.982435 | − | 0.186607i | \(-0.0597490\pi\) | |||||||
\(774\) | 17.1856 | − | 5.97934i | 0.617723 | − | 0.214923i | ||||
\(775\) | 2.35466 | − | 5.68466i | 0.0845821 | − | 0.204199i | ||||
\(776\) | 7.56083 | − | 51.1138i | 0.271418 | − | 1.83488i | ||||
\(777\) | 33.4058 | − | 14.0902i | 1.19843 | − | 0.505483i | ||||
\(778\) | −11.3970 | + | 32.9969i | −0.408604 | + | 1.18300i | ||||
\(779\) | 36.7144 | − | 12.4629i | 1.31543 | − | 0.446529i | ||||
\(780\) | 18.4078 | + | 12.4116i | 0.659105 | + | 0.444405i | ||||
\(781\) | 13.9018 | + | 28.1901i | 0.497445 | + | 1.00872i | ||||
\(782\) | −3.33752 | − | 0.913339i | −0.119349 | − | 0.0326609i | ||||
\(783\) | −26.9613 | + | 7.78627i | −0.963517 | + | 0.278259i | ||||
\(784\) | −4.97485 | − | 1.44712i | −0.177673 | − | 0.0516828i | ||||
\(785\) | −1.83883 | + | 0.492714i | −0.0656307 | + | 0.0175857i | ||||
\(786\) | 17.0056 | + | 9.79257i | 0.606568 | + | 0.349289i | ||||
\(787\) | −8.32157 | − | 0.545425i | −0.296632 | − | 0.0194423i | −0.0836394 | − | 0.996496i | \(-0.526654\pi\) |
−0.212993 | + | 0.977054i | \(0.568321\pi\) | |||||||
\(788\) | 5.68025 | + | 1.19282i | 0.202351 | + | 0.0424926i | ||||
\(789\) | −10.3119 | + | 53.6470i | −0.367112 | + | 1.90988i | ||||
\(790\) | 7.69206 | − | 11.3805i | 0.273671 | − | 0.404899i | ||||
\(791\) | −7.97671 | − | 19.2575i | −0.283619 | − | 0.684717i | ||||
\(792\) | 39.0532 | + | 19.4077i | 1.38769 | + | 0.689621i | ||||
\(793\) | 20.1635 | − | 48.6790i | 0.716027 | − | 1.72864i | ||||
\(794\) | 39.3418 | − | 25.9857i | 1.39619 | − | 0.922199i | ||||
\(795\) | 4.73326 | − | 0.340902i | 0.167871 | − | 0.0120905i | ||||
\(796\) | 26.5104 | − | 10.6520i | 0.939636 | − | 0.377550i | ||||
\(797\) | −26.6013 | − | 30.3330i | −0.942267 | − | 1.07445i | −0.997111 | − | 0.0759548i | \(-0.975800\pi\) |
0.0548442 | − | 0.998495i | \(-0.482534\pi\) | |||||||
\(798\) | −49.0446 | + | 20.3799i | −1.73616 | + | 0.721440i | ||||
\(799\) | −2.39718 | + | 4.15203i | −0.0848060 | + | 0.146888i | ||||
\(800\) | −20.2443 | + | 4.85134i | −0.715744 | + | 0.171521i | ||||
\(801\) | −16.3341 | + | 29.1535i | −0.577138 | + | 1.03009i | ||||
\(802\) | −4.29817 | + | 5.54021i | −0.151774 | + | 0.195632i | ||||
\(803\) | −66.6965 | − | 22.6404i | −2.35367 | − | 0.798962i | ||||
\(804\) | −28.5307 | + | 21.7031i | −1.00620 | + | 0.765408i | ||||
\(805\) | −12.1459 | − | 5.98967i | −0.428085 | − | 0.211108i | ||||
\(806\) | 0.792672 | + | 13.1666i | 0.0279207 | + | 0.463772i | ||||
\(807\) | −1.93850 | + | 0.267937i | −0.0682385 | + | 0.00943183i | ||||
\(808\) | −10.3446 | − | 21.8490i | −0.363923 | − | 0.768644i | ||||
\(809\) | −7.04484 | + | 2.91807i | −0.247683 | + | 0.102594i | −0.503071 | − | 0.864245i | \(-0.667797\pi\) |
0.255388 | + | 0.966839i | \(0.417797\pi\) | |||||||
\(810\) | −6.73477 | − | 12.9798i | −0.236636 | − | 0.456065i | ||||
\(811\) | −2.06277 | + | 10.3702i | −0.0724335 | + | 0.364148i | −0.999954 | − | 0.00962527i | \(-0.996936\pi\) |
0.927520 | + | 0.373773i | \(0.121936\pi\) | |||||||
\(812\) | 27.7536 | + | 14.0556i | 0.973962 | + | 0.493254i | ||||
\(813\) | 0.160399 | − | 2.71541i | 0.00562543 | − | 0.0952337i | ||||
\(814\) | 45.6060 | + | 26.6551i | 1.59849 | + | 0.934260i | ||||
\(815\) | 11.1985 | + | 3.00064i | 0.392268 | + | 0.105108i | ||||
\(816\) | −0.332150 | + | 4.12865i | −0.0116276 | + | 0.144532i | ||||
\(817\) | −31.1870 | + | 8.35653i | −1.09110 | + | 0.292358i | ||||
\(818\) | −5.45198 | − | 1.49198i | −0.190624 | − | 0.0521658i | ||||
\(819\) | −42.9503 | + | 21.8738i | −1.50080 | + | 0.764334i | ||||
\(820\) | 3.92299 | − | 11.1651i | 0.136997 | − | 0.389902i | ||||
\(821\) | −13.0260 | + | 14.8534i | −0.454612 | + | 0.518386i | −0.933055 | − | 0.359733i | \(-0.882868\pi\) |
0.478443 | + | 0.878119i | \(0.341201\pi\) | |||||||
\(822\) | −29.4187 | + | 5.88630i | −1.02609 | + | 0.205308i | ||||
\(823\) | 8.89368 | − | 11.5905i | 0.310014 | − | 0.404018i | −0.612197 | − | 0.790705i | \(-0.709714\pi\) |
0.922211 | + | 0.386687i | \(0.126381\pi\) | |||||||
\(824\) | 9.34032 | − | 5.19571i | 0.325385 | − | 0.181001i | ||||
\(825\) | 20.1096 | + | 25.8603i | 0.700126 | + | 0.900340i | ||||
\(826\) | 32.4412 | + | 6.63254i | 1.12877 | + | 0.230775i | ||||
\(827\) | 1.23866 | + | 1.85378i | 0.0430724 | + | 0.0644624i | 0.852381 | − | 0.522921i | \(-0.175158\pi\) |
−0.809308 | + | 0.587384i | \(0.800158\pi\) | |||||||
\(828\) | −0.0554782 | − | 24.5557i | −0.00192800 | − | 0.853369i | ||||
\(829\) | −25.3036 | + | 5.03320i | −0.878830 | + | 0.174810i | −0.613830 | − | 0.789438i | \(-0.710372\pi\) |
−0.265000 | + | 0.964248i | \(0.585372\pi\) | |||||||
\(830\) | −7.39955 | − | 3.11121i | −0.256842 | − | 0.107992i | ||||
\(831\) | −0.171503 | − | 26.5948i | −0.00594936 | − | 0.922563i | ||||
\(832\) | 34.4741 | − | 28.3389i | 1.19517 | − | 0.982476i | ||||
\(833\) | −0.670620 | + | 0.387183i | −0.0232356 | + | 0.0134151i | ||||
\(834\) | 7.50609 | + | 9.75929i | 0.259915 | + | 0.337936i | ||||
\(835\) | −12.7496 | − | 4.32790i | −0.441218 | − | 0.149773i | ||||
\(836\) | −66.5987 | − | 39.4013i | −2.30336 | − | 1.36272i | ||||
\(837\) | 3.69114 | − | 7.86488i | 0.127584 | − | 0.271850i | ||||
\(838\) | −12.6367 | + | 4.21475i | −0.436527 | + | 0.145596i | ||||
\(839\) | 9.54600 | − | 7.32490i | 0.329565 | − | 0.252884i | −0.430703 | − | 0.902494i | \(-0.641734\pi\) |
0.760268 | + | 0.649610i | \(0.225068\pi\) | |||||||
\(840\) | −4.34432 | + | 15.6177i | −0.149893 | + | 0.538862i | ||||
\(841\) | −0.133263 | − | 0.102256i | −0.00459527 | − | 0.00352608i | ||||
\(842\) | 8.53349 | − | 24.7063i | 0.294083 | − | 0.851436i | ||||
\(843\) | 5.08847 | − | 26.4725i | 0.175256 | − | 0.911762i | ||||
\(844\) | −2.61380 | − | 3.04522i | −0.0899708 | − | 0.104821i | ||||
\(845\) | −17.3076 | − | 11.5646i | −0.595401 | − | 0.397834i | ||||
\(846\) | −32.9299 | − | 8.55661i | −1.13215 | − | 0.294182i | ||||
\(847\) | −31.3917 | + | 31.3917i | −1.07863 | + | 1.07863i | ||||
\(848\) | 2.05958 | − | 9.31401i | 0.0707264 | − | 0.319844i | ||||
\(849\) | −14.8688 | − | 54.0933i | −0.510296 | − | 1.85648i | ||||
\(850\) | −1.57001 | + | 2.68624i | −0.0538509 | + | 0.0921372i | ||||
\(851\) | 1.94537 | − | 29.6806i | 0.0666864 | − | 1.01744i | ||||
\(852\) | −18.9613 | − | 9.44963i | −0.649603 | − | 0.323739i | ||||
\(853\) | 9.02824 | − | 10.2947i | 0.309121 | − | 0.352485i | −0.576330 | − | 0.817217i | \(-0.695516\pi\) |
0.885452 | + | 0.464732i | \(0.153849\pi\) | |||||||
\(854\) | 38.3762 | + | 2.72038i | 1.31321 | + | 0.0930896i | ||||
\(855\) | 10.2379 | + | 23.8420i | 0.350128 | + | 0.815379i | ||||
\(856\) | −5.28125 | − | 28.9582i | −0.180509 | − | 0.989769i | ||||
\(857\) | −14.6433 | + | 11.2362i | −0.500205 | + | 0.383821i | −0.827823 | − | 0.560989i | \(-0.810421\pi\) |
0.327618 | + | 0.944810i | \(0.393754\pi\) | |||||||
\(858\) | −63.0190 | − | 30.9891i | −2.15143 | − | 1.05795i | ||||
\(859\) | 20.5751 | − | 41.7223i | 0.702015 | − | 1.42355i | −0.194667 | − | 0.980869i | \(-0.562363\pi\) |
0.896682 | − | 0.442676i | \(-0.145971\pi\) | |||||||
\(860\) | −3.86794 | + | 9.06409i | −0.131896 | + | 0.309083i | ||||
\(861\) | 17.0644 | + | 19.2070i | 0.581555 | + | 0.654573i | ||||
\(862\) | −36.3609 | + | 14.8351i | −1.23846 | + | 0.505286i | ||||
\(863\) | 47.4154i | 1.61404i | 0.590525 | + | 0.807020i | \(0.298921\pi\) | ||||
−0.590525 | + | 0.807020i | \(0.701079\pi\) | |||||||
\(864\) | −28.8699 | + | 5.52533i | −0.982174 | + | 0.187975i | ||||
\(865\) | − | 17.0539i | − | 0.579851i | ||||||
\(866\) | −0.579218 | − | 1.41967i | −0.0196826 | − | 0.0482423i | ||||
\(867\) | −19.1455 | − | 21.5494i | −0.650216 | − | 0.731855i | ||||
\(868\) | −8.93680 | + | 3.59085i | −0.303335 | + | 0.121881i | ||||
\(869\) | −19.2174 | + | 38.9690i | −0.651905 | + | 1.32193i | ||||
\(870\) | 6.70685 | − | 13.6390i | 0.227383 | − | 0.462404i | ||||
\(871\) | 45.7971 | − | 35.1413i | 1.55177 | − | 1.19072i | ||||
\(872\) | 9.02276 | − | 41.8583i | 0.305549 | − | 1.41750i | ||||
\(873\) | 32.7992 | − | 43.9058i | 1.11008 | − | 1.48599i | ||||
\(874\) | −3.08095 | + | 43.4627i | −0.104215 | + | 1.47015i | ||||
\(875\) | −18.9378 | + | 21.5945i | −0.640216 | + | 0.730026i | ||||
\(876\) | 45.0184 | − | 15.0717i | 1.52103 | − | 0.509224i | ||||
\(877\) | −0.238649 | + | 3.64108i | −0.00805859 | + | 0.122950i | −0.999993 | − | 0.00380371i | \(-0.998789\pi\) |
0.991934 | + | 0.126754i | \(0.0404559\pi\) | |||||||
\(878\) | 23.3063 | + | 13.6217i | 0.786550 | + | 0.459710i | ||||
\(879\) | −10.4802 | − | 38.1276i | −0.353490 | − | 1.28601i | ||||
\(880\) | −22.0082 | + | 8.57223i | −0.741897 | + | 0.288970i | ||||
\(881\) | 11.6261 | − | 11.6261i | 0.391693 | − | 0.391693i | −0.483597 | − | 0.875291i | \(-0.660670\pi\) |
0.875291 | + | 0.483597i | \(0.160670\pi\) | |||||||
\(882\) | −3.91512 | − | 3.85623i | −0.131829 | − | 0.129846i | ||||
\(883\) | 15.7611 | + | 10.5313i | 0.530404 | + | 0.354405i | 0.791755 | − | 0.610839i | \(-0.209168\pi\) |
−0.261350 | + | 0.965244i | \(0.584168\pi\) | |||||||
\(884\) | 0.507015 | − | 6.65068i | 0.0170527 | − | 0.223687i | ||||
\(885\) | 3.05361 | − | 15.8863i | 0.102646 | − | 0.534011i | ||||
\(886\) | 13.9935 | + | 4.83330i | 0.470119 | + | 0.162378i | ||||
\(887\) | −17.2429 | − | 13.2309i | −0.578960 | − | 0.444252i | 0.277310 | − | 0.960781i | \(-0.410557\pi\) |
−0.856270 | + | 0.516529i | \(0.827224\pi\) | |||||||
\(888\) | −35.3427 | + | 4.31149i | −1.18602 | + | 0.144684i | ||||
\(889\) | −26.1991 | + | 20.1033i | −0.878691 | + | 0.674243i | ||||
\(890\) | −5.72640 | − | 17.1689i | −0.191949 | − | 0.575504i | ||||
\(891\) | 26.6813 | + | 37.7841i | 0.893858 | + | 1.26582i | ||||
\(892\) | −9.79887 | + | 2.51419i | −0.328091 | + | 0.0841813i | ||||
\(893\) | 57.1674 | + | 19.4057i | 1.91303 | + | 0.649387i | ||||
\(894\) | −1.39625 | + | 1.07389i | −0.0466977 | + | 0.0359163i | ||||
\(895\) | 1.96334 | − | 1.13353i | 0.0656272 | − | 0.0378899i | ||||
\(896\) | 27.5935 | + | 17.3318i | 0.921836 | + | 0.579013i | ||||
\(897\) | 0.254996 | + | 39.5421i | 0.00851408 | + | 1.32027i | ||||
\(898\) | 16.4330 | − | 39.0836i | 0.548377 | − | 1.30424i | ||||
\(899\) | 8.85653 | − | 1.76167i | 0.295382 | − | 0.0587551i | ||||
\(900\) | −21.3407 | − | 5.66659i | −0.711358 | − | 0.188886i | ||||
\(901\) | −0.792082 | − | 1.18543i | −0.0263881 | − | 0.0394926i | ||||
\(902\) | −7.49813 | + | 36.6750i | −0.249660 | + | 1.22114i | ||||
\(903\) | −13.1338 | − | 16.8896i | −0.437065 | − | 0.562052i | ||||
\(904\) | 2.34768 | + | 20.3348i | 0.0780826 | + | 0.676324i | ||||
\(905\) | −10.6931 | + | 13.9356i | −0.355452 | + | 0.463234i | ||||
\(906\) | 4.10096 | + | 20.4959i | 0.136245 | + | 0.680930i | ||||
\(907\) | −24.4624 | + | 27.8940i | −0.812261 | + | 0.926206i | −0.998413 | − | 0.0563146i | \(-0.982065\pi\) |
0.186152 | + | 0.982521i | \(0.440398\pi\) | |||||||
\(908\) | 17.2433 | + | 35.9243i | 0.572238 | + | 1.19219i | ||||
\(909\) | 1.34686 | − | 25.6051i | 0.0446724 | − | 0.849269i | ||||
\(910\) | 6.89038 | − | 25.1788i | 0.228414 | − | 0.834668i | ||||
\(911\) | 21.7798 | − | 5.83588i | 0.721597 | − | 0.193351i | 0.120713 | − | 0.992687i | \(-0.461482\pi\) |
0.600884 | + | 0.799336i | \(0.294815\pi\) | |||||||
\(912\) | 51.8056 | − | 6.04035i | 1.71546 | − | 0.200016i | ||||
\(913\) | 24.5256 | + | 6.57161i | 0.811678 | + | 0.217489i | ||||
\(914\) | 9.80261 | − | 16.7720i | 0.324242 | − | 0.554767i | ||||
\(915\) | 1.10833 | − | 18.7631i | 0.0366403 | − | 0.620289i | ||||
\(916\) | 7.65542 | + | 23.3658i | 0.252942 | + | 0.772029i | ||||
\(917\) | 4.50145 | − | 22.6303i | 0.148651 | − | 0.747319i | ||||
\(918\) | −2.38928 | + | 3.68672i | −0.0788579 | + | 0.121680i | ||||
\(919\) | −22.3547 | + | 9.25962i | −0.737414 | + | 0.305447i | −0.719594 | − | 0.694395i | \(-0.755672\pi\) |
−0.0178190 | + | 0.999841i | \(0.505672\pi\) | |||||||
\(920\) | 9.85771 | + | 8.92723i | 0.324999 | + | 0.294322i | ||||
\(921\) | 19.7179 | − | 2.72538i | 0.649728 | − | 0.0898045i | ||||
\(922\) | 17.8443 | − | 1.07429i | 0.587671 | − | 0.0353798i | ||||
\(923\) | 30.5974 | + | 15.0890i | 1.00713 | + | 0.496660i | ||||
\(924\) | 6.90591 | − | 50.8098i | 0.227188 | − | 1.67152i | ||||
\(925\) | −25.3263 | − | 8.59713i | −0.832725 | − | 0.282672i | ||||
\(926\) | −21.9309 | − | 17.0142i | −0.720693 | − | 0.559123i | ||||
\(927\) | 11.3356 | − | 0.146206i | 0.372309 | − | 0.00480204i | ||||
\(928\) | −22.4258 | − | 20.7475i | −0.736163 | − | 0.681069i | ||||
\(929\) | 13.8179 | − | 23.9334i | 0.453352 | − | 0.785229i | −0.545240 | − | 0.838280i | \(-0.683561\pi\) |
0.998592 | + | 0.0530515i | \(0.0168947\pi\) | |||||||
\(930\) | 1.80557 | + | 4.34514i | 0.0592070 | + | 0.142483i | ||||
\(931\) | 6.42924 | + | 7.33114i | 0.210710 | + | 0.240269i | ||||
\(932\) | 24.8759 | + | 10.6153i | 0.814837 | + | 0.347717i | ||||
\(933\) | −13.7538 | + | 0.990588i | −0.450281 | + | 0.0324304i | ||||
\(934\) | −28.1280 | − | 42.5851i | −0.920376 | − | 1.39343i | ||||
\(935\) | −1.35091 | + | 3.26137i | −0.0441793 | + | 0.106658i | ||||
\(936\) | 46.4525 | − | 9.09230i | 1.51835 | − | 0.297191i | ||||
\(937\) | −10.5127 | − | 25.3800i | −0.343436 | − | 0.829129i | −0.997363 | − | 0.0725709i | \(-0.976880\pi\) |
0.653927 | − | 0.756558i | \(-0.273120\pi\) | |||||||
\(938\) | 34.9212 | + | 23.6032i | 1.14022 | + | 0.770672i | ||||
\(939\) | 0.841831 | − | 4.37959i | 0.0274721 | − | 0.142922i | ||||
\(940\) | 15.4294 | − | 10.0739i | 0.503252 | − | 0.328573i | ||||
\(941\) | 18.3715 | + | 1.20413i | 0.598894 | + | 0.0392536i | 0.361836 | − | 0.932242i | \(-0.382150\pi\) |
0.237058 | + | 0.971495i | \(0.423817\pi\) | |||||||
\(942\) | −2.02541 | + | 3.51728i | −0.0659914 | + | 0.114599i | ||||
\(943\) | 20.3599 | − | 5.45543i | 0.663010 | − | 0.177653i | ||||
\(944\) | −28.8516 | − | 14.9994i | −0.939040 | − | 0.488188i | ||||
\(945\) | −11.9205 | + | 12.3909i | −0.387775 | + | 0.403077i | ||||
\(946\) | 8.22811 | − | 30.0671i | 0.267519 | − | 0.977566i | ||||
\(947\) | 18.6230 | + | 37.7637i | 0.605167 | + | 1.22716i | 0.956726 | + | 0.290991i | \(0.0939849\pi\) |
−0.351559 | + | 0.936166i | \(0.614348\pi\) | |||||||
\(948\) | −5.59306 | − | 28.7471i | −0.181654 | − | 0.933662i | ||||
\(949\) | −72.3923 | + | 24.5739i | −2.34995 | + | 0.797701i | ||||
\(950\) | 37.0325 | + | 12.7909i | 1.20149 | + | 0.414992i | ||||
\(951\) | 41.4664 | − | 17.4901i | 1.34464 | − | 0.567154i | ||||
\(952\) | 4.72378 | − | 1.18528i | 0.153099 | − | 0.0384152i | ||||
\(953\) | 13.8171 | − | 33.3575i | 0.447581 | − | 1.08056i | −0.525644 | − | 0.850705i | \(-0.676176\pi\) |
0.973226 | − | 0.229852i | \(-0.0738243\pi\) | |||||||
\(954\) | 6.61319 | − | 7.65718i | 0.214110 | − | 0.247911i | ||||
\(955\) | 11.7660 | − | 7.86180i | 0.380739 | − | 0.254402i | ||||
\(956\) | −9.67077 | − | 17.1695i | −0.312775 | − | 0.555302i | ||||
\(957\) | −15.1597 | + | 45.6236i | −0.490044 | + | 1.47480i | ||||
\(958\) | −19.6360 | − | 25.8739i | −0.634409 | − | 0.835947i | ||||
\(959\) | 17.6383 | + | 30.5504i | 0.569570 | + | 0.986525i | ||||
\(960\) | 8.30824 | − | 13.5796i | 0.268147 | − | 0.438279i | ||||
\(961\) | 14.1022 | − | 24.4257i | 0.454910 | − | 0.787927i | ||||
\(962\) | 56.8839 | − | 7.18131i | 1.83401 | − | 0.231535i | ||||
\(963\) | 9.65366 | − | 29.6914i | 0.311085 | − | 0.956793i | ||||
\(964\) | 24.8369 | + | 14.6941i | 0.799943 | + | 0.473264i | ||||
\(965\) | 1.80302 | + | 27.5088i | 0.0580414 | + | 0.885541i | ||||
\(966\) | −27.3303 | + | 9.31182i | −0.879337 | + | 0.299603i | ||||
\(967\) | 0.952632 | − | 0.125416i | 0.0306346 | − | 0.00403312i | −0.115193 | − | 0.993343i | \(-0.536749\pi\) |
0.145828 | + | 0.989310i | \(0.453415\pi\) | |||||||
\(968\) | 38.0994 | − | 21.1934i | 1.22456 | − | 0.681183i | ||||
\(969\) | 4.70555 | − | 6.21497i | 0.151164 | − | 0.199653i | ||||
\(970\) | 5.63568 | + | 29.1417i | 0.180951 | + | 0.935684i | ||||
\(971\) | −10.2829 | + | 51.6954i | −0.329993 | + | 1.65899i | 0.358341 | + | 0.933591i | \(0.383343\pi\) |
−0.688334 | + | 0.725394i | \(0.741657\pi\) | |||||||
\(972\) | −29.7320 | − | 9.38136i | −0.953653 | − | 0.300907i | ||||
\(973\) | 8.04279 | − | 12.0369i | 0.257840 | − | 0.385885i | ||||
\(974\) | −15.4577 | − | 15.6230i | −0.495297 | − | 0.500594i | ||||
\(975\) | 34.4036 | + | 8.98104i | 1.10180 | + | 0.287624i | ||||
\(976\) | −35.5101 | − | 12.9029i | −1.13665 | − | 0.413011i | ||||
\(977\) | 6.39130 | − | 23.8527i | 0.204476 | − | 0.763114i | −0.785133 | − | 0.619327i | \(-0.787405\pi\) |
0.989609 | − | 0.143787i | \(-0.0459279\pi\) | |||||||
\(978\) | 21.3924 | − | 12.3832i | 0.684054 | − | 0.395970i | ||||
\(979\) | 25.3207 | + | 51.3453i | 0.809253 | + | 1.64100i | ||||
\(980\) | 2.97177 | − | 0.163052i | 0.0949297 | − | 0.00520849i | ||||
\(981\) | 29.5027 | − | 34.5298i | 0.941950 | − | 1.10245i | ||||
\(982\) | 0.0254508 | − | 0.359032i | 0.000812168 | − | 0.0114572i | ||||
\(983\) | −21.0500 | − | 2.77129i | −0.671391 | − | 0.0883903i | −0.212879 | − | 0.977079i | \(-0.568284\pi\) |
−0.458512 | + | 0.888688i | \(0.651617\pi\) | |||||||
\(984\) | −10.9438 | − | 22.7342i | −0.348874 | − | 0.724739i | ||||
\(985\) | −3.30565 | + | 0.435197i | −0.105327 | + | 0.0138665i | ||||
\(986\) | −4.55796 | + | 0.274405i | −0.145155 | + | 0.00873883i | ||||
\(987\) | 2.87384 | + | 39.9019i | 0.0914754 | + | 1.27009i | ||||
\(988\) | −83.3828 | + | 10.0764i | −2.65276 | + | 0.320573i | ||||
\(989\) | −17.2154 | + | 3.42436i | −0.547418 | + | 0.108888i | ||||
\(990\) | −24.8612 | − | 3.08156i | −0.790141 | − | 0.0979384i | ||||
\(991\) | −43.5764 | −1.38425 | −0.692125 | − | 0.721778i | \(-0.743325\pi\) | ||||
−0.692125 | + | 0.721778i | \(0.743325\pi\) | |||||||
\(992\) | 9.40687 | − | 0.984754i | 0.298668 | − | 0.0312660i | ||||
\(993\) | −0.0925902 | − | 14.3579i | −0.00293826 | − | 0.455634i | ||||
\(994\) | −3.38276 | + | 24.6795i | −0.107295 | + | 0.782786i | ||||
\(995\) | −12.3393 | + | 10.8213i | −0.391183 | + | 0.343058i | ||||
\(996\) | −15.8385 | + | 6.48291i | −0.501862 | + | 0.205419i | ||||
\(997\) | −2.66749 | − | 40.6980i | −0.0844802 | − | 1.28892i | −0.804076 | − | 0.594526i | \(-0.797340\pi\) |
0.719596 | − | 0.694393i | \(-0.244327\pi\) | |||||||
\(998\) | −15.0147 | + | 30.0429i | −0.475282 | + | 0.950992i | ||||
\(999\) | −35.1629 | − | 13.7742i | −1.11250 | − | 0.435796i |
(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 | 576.2.bl.a.11.12 | ✓ | 1504 | |
9.5 | odd | 6 | inner | 576.2.bl.a.203.21 | yes | 1504 | |
64.35 | odd | 16 | inner | 576.2.bl.a.227.21 | yes | 1504 | |
576.419 | even | 48 | inner | 576.2.bl.a.419.12 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bl.a.11.12 | ✓ | 1504 | 1.1 | even | 1 | trivial | |
576.2.bl.a.203.21 | yes | 1504 | 9.5 | odd | 6 | inner | |
576.2.bl.a.227.21 | yes | 1504 | 64.35 | odd | 16 | inner | |
576.2.bl.a.419.12 | yes | 1504 | 576.419 | even | 48 | inner |