Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(11,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.v (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.10 | ||
Character | \(\chi\) | \(=\) | 216.11 |
Dual form | 216.2.v.b.59.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.955634 | − | 1.04248i | −0.675735 | − | 0.737144i | ||||
\(3\) | −1.08798 | + | 1.34770i | −0.628148 | + | 0.778094i | ||||
\(4\) | −0.173527 | + | 1.99246i | −0.0867634 | + | 0.996229i | ||||
\(5\) | −2.35728 | − | 0.857979i | −1.05421 | − | 0.383700i | −0.243958 | − | 0.969786i | \(-0.578446\pi\) |
−0.810249 | + | 0.586086i | \(0.800668\pi\) | |||||||
\(6\) | 2.44466 | − | 0.153705i | 0.998029 | − | 0.0627499i | ||||
\(7\) | 2.09025 | + | 0.368567i | 0.790039 | + | 0.139305i | 0.554086 | − | 0.832459i | \(-0.313068\pi\) |
0.235953 | + | 0.971764i | \(0.424179\pi\) | |||||||
\(8\) | 2.24292 | − | 1.72316i | 0.792994 | − | 0.609230i | ||||
\(9\) | −0.632581 | − | 2.93255i | −0.210860 | − | 0.977516i | ||||
\(10\) | 1.35827 | + | 3.27733i | 0.429523 | + | 1.03638i | ||||
\(11\) | −1.11223 | − | 3.05583i | −0.335351 | − | 0.921368i | −0.986694 | − | 0.162586i | \(-0.948017\pi\) |
0.651344 | − | 0.758783i | \(-0.274206\pi\) | |||||||
\(12\) | −2.49644 | − | 2.40162i | −0.720659 | − | 0.693289i | ||||
\(13\) | −2.68370 | − | 3.19831i | −0.744325 | − | 0.887051i | 0.252425 | − | 0.967617i | \(-0.418772\pi\) |
−0.996749 | + | 0.0805651i | \(0.974328\pi\) | |||||||
\(14\) | −1.61329 | − | 2.53126i | −0.431170 | − | 0.676507i | ||||
\(15\) | 3.72098 | − | 2.24343i | 0.960753 | − | 0.579252i | ||||
\(16\) | −3.93978 | − | 0.691490i | −0.984944 | − | 0.172872i | ||||
\(17\) | −0.433413 | + | 0.250231i | −0.105118 | + | 0.0606900i | −0.551637 | − | 0.834084i | \(-0.685997\pi\) |
0.446519 | + | 0.894774i | \(0.352663\pi\) | |||||||
\(18\) | −2.45261 | + | 3.46190i | −0.578085 | + | 0.815977i | ||||
\(19\) | 2.69082 | − | 4.66064i | 0.617317 | − | 1.06922i | −0.372656 | − | 0.927969i | \(-0.621553\pi\) |
0.989973 | − | 0.141255i | \(-0.0451137\pi\) | |||||||
\(20\) | 2.11854 | − | 4.54790i | 0.473720 | − | 1.01694i | ||||
\(21\) | −2.77087 | + | 2.41603i | −0.604654 | + | 0.527221i | ||||
\(22\) | −2.12276 | + | 4.07974i | −0.452573 | + | 0.869803i | ||||
\(23\) | −0.499638 | − | 2.83359i | −0.104182 | − | 0.590844i | −0.991544 | − | 0.129771i | \(-0.958576\pi\) |
0.887362 | − | 0.461073i | \(-0.152535\pi\) | |||||||
\(24\) | −0.117963 | + | 4.89756i | −0.0240792 | + | 0.999710i | ||||
\(25\) | 0.990413 | + | 0.831055i | 0.198083 | + | 0.166211i | ||||
\(26\) | −0.769536 | + | 5.85412i | −0.150918 | + | 1.14809i | ||||
\(27\) | 4.64043 | + | 2.33804i | 0.893051 | + | 0.449956i | ||||
\(28\) | −1.09707 | + | 4.10077i | −0.207326 | + | 0.774974i | ||||
\(29\) | 0.294939 | + | 0.247483i | 0.0547687 | + | 0.0459564i | 0.669761 | − | 0.742577i | \(-0.266396\pi\) |
−0.614992 | + | 0.788533i | \(0.710841\pi\) | |||||||
\(30\) | −5.89463 | − | 1.73514i | −1.07621 | − | 0.316792i | ||||
\(31\) | −1.22873 | + | 0.216658i | −0.220686 | + | 0.0389130i | −0.282898 | − | 0.959150i | \(-0.591296\pi\) |
0.0622115 | + | 0.998063i | \(0.480185\pi\) | |||||||
\(32\) | 3.04412 | + | 4.76795i | 0.538130 | + | 0.842862i | ||||
\(33\) | 5.32843 | + | 1.82574i | 0.927561 | + | 0.317821i | ||||
\(34\) | 0.675045 | + | 0.212695i | 0.115769 | + | 0.0364769i | ||||
\(35\) | −4.61107 | − | 2.66221i | −0.779414 | − | 0.449995i | ||||
\(36\) | 5.95275 | − | 0.751515i | 0.992125 | − | 0.125252i | ||||
\(37\) | −8.56116 | + | 4.94279i | −1.40745 | + | 0.812589i | −0.995141 | − | 0.0984564i | \(-0.968609\pi\) |
−0.412305 | + | 0.911046i | \(0.635276\pi\) | |||||||
\(38\) | −7.43006 | + | 1.64874i | −1.20532 | + | 0.267461i | ||||
\(39\) | 7.23018 | − | 0.137108i | 1.15776 | − | 0.0219548i | ||||
\(40\) | −6.76564 | + | 2.13759i | −1.06974 | + | 0.337983i | ||||
\(41\) | −4.69827 | − | 5.59918i | −0.733747 | − | 0.874445i | 0.262142 | − | 0.965029i | \(-0.415571\pi\) |
−0.995889 | + | 0.0905841i | \(0.971127\pi\) | |||||||
\(42\) | 5.16660 | + | 0.579740i | 0.797224 | + | 0.0894559i | ||||
\(43\) | 10.7825 | − | 3.92450i | 1.64431 | − | 0.598480i | 0.656526 | − | 0.754303i | \(-0.272025\pi\) |
0.987785 | + | 0.155823i | \(0.0498029\pi\) | |||||||
\(44\) | 6.28162 | − | 1.68581i | 0.946990 | − | 0.254145i | ||||
\(45\) | −1.02490 | + | 7.45558i | −0.152783 | + | 1.11141i | ||||
\(46\) | −2.47649 | + | 3.22874i | −0.365138 | + | 0.476052i | ||||
\(47\) | −0.561599 | + | 3.18499i | −0.0819176 | + | 0.464578i | 0.916062 | + | 0.401037i | \(0.131350\pi\) |
−0.997979 | + | 0.0635404i | \(0.979761\pi\) | |||||||
\(48\) | 5.21833 | − | 4.55730i | 0.753202 | − | 0.657790i | ||||
\(49\) | −2.34455 | − | 0.853348i | −0.334936 | − | 0.121907i | ||||
\(50\) | −0.0801145 | − | 1.82667i | −0.0113299 | − | 0.258330i | ||||
\(51\) | 0.134311 | − | 0.856358i | 0.0188072 | − | 0.119914i | ||||
\(52\) | 6.83819 | − | 4.79217i | 0.948286 | − | 0.664554i | ||||
\(53\) | 11.9707 | 1.64430 | 0.822149 | − | 0.569273i | \(-0.192775\pi\) | ||||
0.822149 | + | 0.569273i | \(0.192775\pi\) | |||||||
\(54\) | −1.99719 | − | 7.07186i | −0.271784 | − | 0.962358i | ||||
\(55\) | 8.15772i | 1.09999i | ||||||||
\(56\) | 5.32337 | − | 2.77517i | 0.711365 | − | 0.370848i | ||||
\(57\) | 3.35356 | + | 8.69712i | 0.444190 | + | 1.15196i | ||||
\(58\) | −0.0238576 | − | 0.543970i | −0.00313265 | − | 0.0714268i | ||||
\(59\) | −2.08516 | + | 5.72892i | −0.271464 | + | 0.745842i | 0.726795 | + | 0.686855i | \(0.241009\pi\) |
−0.998259 | + | 0.0589868i | \(0.981213\pi\) | |||||||
\(60\) | 3.82425 | + | 7.80319i | 0.493709 | + | 1.00739i | ||||
\(61\) | −4.59804 | − | 0.810759i | −0.588719 | − | 0.103807i | −0.128650 | − | 0.991690i | \(-0.541064\pi\) |
−0.460069 | + | 0.887883i | \(0.652175\pi\) | |||||||
\(62\) | 1.40008 | + | 1.07388i | 0.177810 | + | 0.136383i | ||||
\(63\) | −0.241410 | − | 6.36290i | −0.0304148 | − | 0.801650i | ||||
\(64\) | 2.06142 | − | 7.72985i | 0.257678 | − | 0.966231i | ||||
\(65\) | 3.58215 | + | 9.84187i | 0.444311 | + | 1.22073i | ||||
\(66\) | −3.18873 | − | 7.29952i | −0.392506 | − | 0.898509i | ||||
\(67\) | −9.39931 | + | 7.88696i | −1.14831 | + | 0.963545i | −0.999679 | − | 0.0253476i | \(-0.991931\pi\) |
−0.148630 | + | 0.988893i | \(0.547486\pi\) | |||||||
\(68\) | −0.423366 | − | 0.906979i | −0.0513407 | − | 0.109987i | ||||
\(69\) | 4.36242 | + | 2.40954i | 0.525174 | + | 0.290075i | ||||
\(70\) | 1.63121 | + | 7.35104i | 0.194966 | + | 0.878618i | ||||
\(71\) | −2.70354 | − | 4.68267i | −0.320851 | − | 0.555731i | 0.659813 | − | 0.751430i | \(-0.270636\pi\) |
−0.980664 | + | 0.195699i | \(0.937302\pi\) | |||||||
\(72\) | −6.47209 | − | 5.48745i | −0.762743 | − | 0.646702i | ||||
\(73\) | 4.58071 | − | 7.93403i | 0.536132 | − | 0.928608i | −0.462976 | − | 0.886371i | \(-0.653218\pi\) |
0.999108 | − | 0.0422366i | \(-0.0134483\pi\) | |||||||
\(74\) | 13.3341 | + | 4.20134i | 1.55006 | + | 0.488396i | ||||
\(75\) | −2.19756 | + | 0.430603i | −0.253753 | + | 0.0497217i | ||||
\(76\) | 8.81920 | + | 6.17010i | 1.01163 | + | 0.707758i | ||||
\(77\) | −1.19856 | − | 6.79738i | −0.136589 | − | 0.774633i | ||||
\(78\) | −7.05234 | − | 7.40629i | −0.798520 | − | 0.838597i | ||||
\(79\) | 9.18302 | − | 10.9439i | 1.03317 | − | 1.23128i | 0.0607247 | − | 0.998155i | \(-0.480659\pi\) |
0.972446 | − | 0.233130i | \(-0.0748967\pi\) | |||||||
\(80\) | 8.69387 | + | 5.01028i | 0.972004 | + | 0.560166i | ||||
\(81\) | −8.19968 | + | 3.71015i | −0.911076 | + | 0.412239i | ||||
\(82\) | −1.34720 | + | 10.2486i | −0.148774 | + | 1.13177i | ||||
\(83\) | −8.89271 | + | 10.5979i | −0.976102 | + | 1.16327i | 0.0104696 | + | 0.999945i | \(0.496667\pi\) |
−0.986572 | + | 0.163328i | \(0.947777\pi\) | |||||||
\(84\) | −4.33301 | − | 5.94010i | −0.472771 | − | 0.648118i | ||||
\(85\) | 1.23637 | − | 0.218005i | 0.134103 | − | 0.0236460i | ||||
\(86\) | −14.3953 | − | 7.49012i | −1.55229 | − | 0.807680i | ||||
\(87\) | −0.654421 | + | 0.128231i | −0.0701613 | + | 0.0137478i | ||||
\(88\) | −7.76035 | − | 4.93745i | −0.827256 | − | 0.526334i | ||||
\(89\) | −12.9048 | − | 7.45058i | −1.36790 | − | 0.789760i | −0.377244 | − | 0.926114i | \(-0.623128\pi\) |
−0.990660 | + | 0.136355i | \(0.956461\pi\) | |||||||
\(90\) | 8.75171 | − | 6.05637i | 0.922511 | − | 0.638397i | ||||
\(91\) | −4.43081 | − | 7.67438i | −0.464475 | − | 0.804494i | ||||
\(92\) | 5.73251 | − | 0.503805i | 0.597656 | − | 0.0525253i | ||||
\(93\) | 1.04485 | − | 1.89168i | 0.108346 | − | 0.196158i | ||||
\(94\) | 3.85697 | − | 2.45823i | 0.397816 | − | 0.253547i | ||||
\(95\) | −10.3418 | + | 8.67776i | −1.06104 | + | 0.890319i | ||||
\(96\) | −9.73771 | − | 1.08490i | −0.993851 | − | 0.110727i | ||||
\(97\) | −0.481380 | + | 0.175208i | −0.0488767 | + | 0.0177897i | −0.366343 | − | 0.930480i | \(-0.619390\pi\) |
0.317466 | + | 0.948270i | \(0.397168\pi\) | |||||||
\(98\) | 1.35094 | + | 3.25964i | 0.136465 | + | 0.329273i | ||||
\(99\) | −8.25780 | + | 5.19474i | −0.829940 | + | 0.522091i | ||||
\(100\) | −1.82771 | + | 1.82915i | −0.182771 | + | 0.182915i | ||||
\(101\) | −2.28428 | + | 12.9548i | −0.227295 | + | 1.28905i | 0.630955 | + | 0.775820i | \(0.282663\pi\) |
−0.858249 | + | 0.513233i | \(0.828448\pi\) | |||||||
\(102\) | −1.02109 | + | 0.678349i | −0.101103 | + | 0.0671665i | ||||
\(103\) | −3.94067 | + | 10.8269i | −0.388286 | + | 1.06681i | 0.579487 | + | 0.814982i | \(0.303253\pi\) |
−0.967773 | + | 0.251826i | \(0.918969\pi\) | |||||||
\(104\) | −11.5305 | − | 2.54911i | −1.13066 | − | 0.249961i | ||||
\(105\) | 8.60463 | − | 3.31790i | 0.839725 | − | 0.323794i | ||||
\(106\) | −11.4396 | − | 12.4792i | −1.11111 | − | 1.21208i | ||||
\(107\) | − | 2.94545i | − | 0.284747i | −0.989813 | − | 0.142374i | \(-0.954527\pi\) | ||
0.989813 | − | 0.142374i | \(-0.0454734\pi\) | |||||||
\(108\) | −5.46368 | + | 8.84015i | −0.525743 | + | 0.850643i | ||||
\(109\) | − | 19.9795i | − | 1.91368i | −0.290607 | − | 0.956842i | \(-0.593857\pi\) | ||
0.290607 | − | 0.956842i | \(-0.406143\pi\) | |||||||
\(110\) | 8.50426 | − | 7.79580i | 0.810849 | − | 0.743300i | ||||
\(111\) | 2.65302 | − | 16.9155i | 0.251814 | − | 1.60555i | ||||
\(112\) | −7.98025 | − | 2.89746i | −0.754063 | − | 0.273784i | ||||
\(113\) | −1.58914 | + | 4.36612i | −0.149493 | + | 0.410730i | −0.991724 | − | 0.128387i | \(-0.959020\pi\) |
0.842231 | + | 0.539117i | \(0.181242\pi\) | |||||||
\(114\) | 5.86179 | − | 11.8073i | 0.549007 | − | 1.10585i | ||||
\(115\) | −1.25337 | + | 7.10824i | −0.116878 | + | 0.662847i | ||||
\(116\) | −0.544279 | + | 0.544708i | −0.0505350 | + | 0.0505748i | ||||
\(117\) | −7.68154 | + | 9.89327i | −0.710159 | + | 0.914633i | ||||
\(118\) | 7.96493 | − | 3.30102i | 0.733231 | − | 0.303883i | ||||
\(119\) | −0.998168 | + | 0.363303i | −0.0915019 | + | 0.0333040i | ||||
\(120\) | 4.48008 | − | 11.4437i | 0.408973 | − | 1.04466i | ||||
\(121\) | 0.325434 | − | 0.273072i | 0.0295849 | − | 0.0248247i | ||||
\(122\) | 3.54885 | + | 5.56816i | 0.321298 | + | 0.504117i | ||||
\(123\) | 12.6577 | − | 0.240030i | 1.14130 | − | 0.0216428i | ||||
\(124\) | −0.218465 | − | 2.48579i | −0.0196187 | − | 0.223230i | ||||
\(125\) | 4.64976 | + | 8.05362i | 0.415887 | + | 0.720337i | ||||
\(126\) | −6.40250 | + | 6.33227i | −0.570380 | + | 0.564124i | ||||
\(127\) | 14.8968 | + | 8.60068i | 1.32188 | + | 0.763187i | 0.984028 | − | 0.178013i | \(-0.0569670\pi\) |
0.337850 | + | 0.941200i | \(0.390300\pi\) | |||||||
\(128\) | −10.0282 | + | 5.23792i | −0.886374 | + | 0.462971i | ||||
\(129\) | −6.44212 | + | 18.8013i | −0.567197 | + | 1.65536i | ||||
\(130\) | 6.83672 | − | 13.1395i | 0.599620 | − | 1.15241i | ||||
\(131\) | 17.0826 | − | 3.01211i | 1.49251 | − | 0.263170i | 0.632945 | − | 0.774197i | \(-0.281846\pi\) |
0.859565 | + | 0.511027i | \(0.170735\pi\) | |||||||
\(132\) | −4.56235 | + | 10.2999i | −0.397101 | + | 0.896488i | ||||
\(133\) | 7.34224 | − | 8.75015i | 0.636653 | − | 0.758734i | ||||
\(134\) | 17.2043 | + | 2.26154i | 1.48622 | + | 0.195367i | ||||
\(135\) | −8.93279 | − | 9.49280i | −0.768813 | − | 0.817010i | ||||
\(136\) | −0.540924 | + | 1.30809i | −0.0463838 | + | 0.112168i | ||||
\(137\) | 1.51760 | − | 1.80861i | 0.129657 | − | 0.154520i | −0.697310 | − | 0.716770i | \(-0.745620\pi\) |
0.826967 | + | 0.562250i | \(0.190064\pi\) | |||||||
\(138\) | −1.65699 | − | 6.85038i | −0.141052 | − | 0.583143i | ||||
\(139\) | −0.553906 | − | 3.14136i | −0.0469817 | − | 0.266446i | 0.952264 | − | 0.305275i | \(-0.0987484\pi\) |
−0.999246 | + | 0.0388287i | \(0.987637\pi\) | |||||||
\(140\) | 6.10448 | − | 8.72541i | 0.515922 | − | 0.737432i | ||||
\(141\) | −3.68139 | − | 4.22208i | −0.310029 | − | 0.355563i | ||||
\(142\) | −2.29799 | + | 7.29331i | −0.192843 | + | 0.612041i | ||||
\(143\) | −6.78860 | + | 11.7582i | −0.567691 | + | 0.983270i | ||||
\(144\) | 0.464400 | + | 11.9910i | 0.0387000 | + | 0.999251i | ||||
\(145\) | −0.482917 | − | 0.836437i | −0.0401041 | − | 0.0694623i | ||||
\(146\) | −12.6485 | + | 2.80673i | −1.04680 | + | 0.232286i | ||||
\(147\) | 3.70089 | − | 2.23132i | 0.305244 | − | 0.184036i | ||||
\(148\) | −8.36271 | − | 17.9155i | −0.687410 | − | 1.47264i | ||||
\(149\) | 15.4423 | − | 12.9576i | 1.26508 | − | 1.06153i | 0.269963 | − | 0.962871i | \(-0.412989\pi\) |
0.995121 | − | 0.0986604i | \(-0.0314558\pi\) | |||||||
\(150\) | 2.54896 | + | 1.87942i | 0.208122 | + | 0.153454i | ||||
\(151\) | 0.290439 | + | 0.797974i | 0.0236356 | + | 0.0649382i | 0.950949 | − | 0.309347i | \(-0.100110\pi\) |
−0.927314 | + | 0.374285i | \(0.877888\pi\) | |||||||
\(152\) | −1.99573 | − | 15.0902i | −0.161875 | − | 1.22398i | ||||
\(153\) | 1.00798 | + | 1.11271i | 0.0814907 | + | 0.0899576i | ||||
\(154\) | −5.94074 | + | 7.74529i | −0.478719 | + | 0.624133i | ||||
\(155\) | 3.08235 | + | 0.543501i | 0.247580 | + | 0.0436551i | ||||
\(156\) | −0.981449 | + | 14.4296i | −0.0785788 | + | 1.15529i | ||||
\(157\) | 2.55481 | − | 7.01929i | 0.203896 | − | 0.560200i | −0.795028 | − | 0.606573i | \(-0.792544\pi\) |
0.998924 | + | 0.0463727i | \(0.0147662\pi\) | |||||||
\(158\) | −20.1844 | + | 0.885252i | −1.60578 | + | 0.0704268i | ||||
\(159\) | −13.0239 | + | 16.1328i | −1.03286 | + | 1.27942i | ||||
\(160\) | −3.08504 | − | 13.8512i | −0.243894 | − | 1.09503i | ||||
\(161\) | − | 6.10706i | − | 0.481304i | ||||||
\(162\) | 11.7036 | + | 5.00246i | 0.919526 | + | 0.393030i | ||||
\(163\) | 5.27568 | 0.413223 | 0.206612 | − | 0.978423i | \(-0.433756\pi\) | ||||
0.206612 | + | 0.978423i | \(0.433756\pi\) | |||||||
\(164\) | 11.9714 | − | 8.38950i | 0.934810 | − | 0.655110i | ||||
\(165\) | −10.9941 | − | 8.87547i | −0.855893 | − | 0.690955i | ||||
\(166\) | 19.5463 | − | 0.857266i | 1.51709 | − | 0.0665368i | ||||
\(167\) | 3.66882 | + | 1.33534i | 0.283902 | + | 0.103332i | 0.480046 | − | 0.877243i | \(-0.340620\pi\) |
−0.196144 | + | 0.980575i | \(0.562842\pi\) | |||||||
\(168\) | −2.05165 | + | 10.1936i | −0.158288 | + | 0.786456i | ||||
\(169\) | −0.769510 | + | 4.36411i | −0.0591931 | + | 0.335701i | ||||
\(170\) | −1.40878 | − | 1.08056i | −0.108049 | − | 0.0828748i | ||||
\(171\) | −15.3697 | − | 4.94273i | −1.17535 | − | 0.377980i | ||||
\(172\) | 5.94835 | + | 22.1646i | 0.453557 | + | 1.69004i | ||||
\(173\) | 1.17536 | − | 0.427796i | 0.0893610 | − | 0.0325248i | −0.296953 | − | 0.954892i | \(-0.595970\pi\) |
0.386314 | + | 0.922367i | \(0.373748\pi\) | |||||||
\(174\) | 0.759065 | + | 0.559678i | 0.0575445 | + | 0.0424291i | ||||
\(175\) | 1.76391 | + | 2.10214i | 0.133339 | + | 0.158907i | ||||
\(176\) | 2.26887 | + | 12.8084i | 0.171022 | + | 0.965469i | ||||
\(177\) | −5.45224 | − | 9.04313i | −0.409815 | − | 0.679724i | ||||
\(178\) | 4.56517 | + | 20.5730i | 0.342174 | + | 1.54201i | ||||
\(179\) | 11.6215 | − | 6.70967i | 0.868631 | − | 0.501504i | 0.00173797 | − | 0.999998i | \(-0.499447\pi\) |
0.866893 | + | 0.498494i | \(0.166113\pi\) | |||||||
\(180\) | −14.6771 | − | 3.33581i | −1.09396 | − | 0.248636i | ||||
\(181\) | −2.75929 | − | 1.59308i | −0.205097 | − | 0.118413i | 0.393934 | − | 0.919139i | \(-0.371114\pi\) |
−0.599031 | + | 0.800726i | \(0.704447\pi\) | |||||||
\(182\) | −3.76616 | + | 11.9529i | −0.279166 | + | 0.886010i | ||||
\(183\) | 6.09526 | − | 5.31468i | 0.450574 | − | 0.392873i | ||||
\(184\) | −6.00339 | − | 5.49457i | −0.442576 | − | 0.405065i | ||||
\(185\) | 24.4219 | − | 4.30623i | 1.79553 | − | 0.316600i | ||||
\(186\) | −2.97053 | + | 0.718519i | −0.217810 | + | 0.0526843i | ||||
\(187\) | 1.24672 | + | 1.04612i | 0.0911692 | + | 0.0765001i | ||||
\(188\) | −6.24850 | − | 1.67164i | −0.455719 | − | 0.121917i | ||||
\(189\) | 8.83792 | + | 6.59739i | 0.642864 | + | 0.479890i | ||||
\(190\) | 18.9293 | + | 2.48830i | 1.37328 | + | 0.180520i | ||||
\(191\) | −2.34242 | − | 1.96552i | −0.169491 | − | 0.142220i | 0.554096 | − | 0.832452i | \(-0.313064\pi\) |
−0.723588 | + | 0.690232i | \(0.757508\pi\) | |||||||
\(192\) | 8.17471 | + | 11.1881i | 0.589959 | + | 0.807433i | ||||
\(193\) | 1.45237 | + | 8.23682i | 0.104544 | + | 0.592899i | 0.991401 | + | 0.130856i | \(0.0417725\pi\) |
−0.886857 | + | 0.462044i | \(0.847116\pi\) | |||||||
\(194\) | 0.642674 | + | 0.334394i | 0.0461413 | + | 0.0240081i | ||||
\(195\) | −17.1612 | − | 5.88014i | −1.22894 | − | 0.421086i | ||||
\(196\) | 2.10710 | − | 4.52334i | 0.150507 | − | 0.323096i | ||||
\(197\) | 3.22383 | − | 5.58384i | 0.229688 | − | 0.397832i | −0.728027 | − | 0.685548i | \(-0.759563\pi\) |
0.957716 | + | 0.287716i | \(0.0928959\pi\) | |||||||
\(198\) | 13.3068 | + | 3.64432i | 0.945676 | + | 0.258991i | ||||
\(199\) | 6.35032 | − | 3.66636i | 0.450162 | − | 0.259901i | −0.257737 | − | 0.966215i | \(-0.582977\pi\) |
0.707899 | + | 0.706314i | \(0.249643\pi\) | |||||||
\(200\) | 3.65346 | + | 0.157351i | 0.258339 | + | 0.0111264i | ||||
\(201\) | −0.402938 | − | 21.2483i | −0.0284210 | − | 1.49874i | ||||
\(202\) | 15.6881 | − | 9.99875i | 1.10381 | − | 0.703509i | ||||
\(203\) | 0.525281 | + | 0.626005i | 0.0368675 | + | 0.0439369i | ||||
\(204\) | 1.68295 | + | 0.416209i | 0.117830 | + | 0.0291405i | ||||
\(205\) | 6.27115 | + | 17.2299i | 0.437996 | + | 1.20338i | ||||
\(206\) | 15.0527 | − | 6.23850i | 1.04877 | − | 0.434657i | ||||
\(207\) | −7.99358 | + | 3.25769i | −0.555592 | + | 0.226425i | ||||
\(208\) | 8.36158 | + | 14.4564i | 0.579771 | + | 1.00237i | ||||
\(209\) | −17.2350 | − | 3.03899i | −1.19217 | − | 0.210211i | ||||
\(210\) | −11.6817 | − | 5.79945i | −0.806115 | − | 0.400200i | ||||
\(211\) | 3.08764 | + | 1.12381i | 0.212562 | + | 0.0773662i | 0.446107 | − | 0.894980i | \(-0.352810\pi\) |
−0.233545 | + | 0.972346i | \(0.575032\pi\) | |||||||
\(212\) | −2.07723 | + | 23.8511i | −0.142665 | + | 1.63810i | ||||
\(213\) | 9.25224 | + | 1.45111i | 0.633953 | + | 0.0994287i | ||||
\(214\) | −3.07057 | + | 2.81477i | −0.209900 | + | 0.192414i | ||||
\(215\) | −28.7844 | −1.96308 | ||||||||
\(216\) | 14.4370 | − | 2.75217i | 0.982310 | − | 0.187261i | ||||
\(217\) | −2.64820 | −0.179772 | ||||||||
\(218\) | −20.8282 | + | 19.0930i | −1.41066 | + | 1.29314i | ||||
\(219\) | 5.70893 | + | 14.8055i | 0.385774 | + | 1.00046i | ||||
\(220\) | −16.2539 | − | 1.41558i | −1.09584 | − | 0.0954386i | ||||
\(221\) | 1.96347 | + | 0.714644i | 0.132077 | + | 0.0480721i | ||||
\(222\) | −20.1694 | + | 13.3993i | −1.35368 | + | 0.899305i | ||||
\(223\) | −13.8982 | − | 2.45063i | −0.930693 | − | 0.164106i | −0.312307 | − | 0.949981i | \(-0.601102\pi\) |
−0.618386 | + | 0.785875i | \(0.712213\pi\) | |||||||
\(224\) | 4.60566 | + | 11.0882i | 0.307729 | + | 0.740859i | ||||
\(225\) | 1.81059 | − | 3.43014i | 0.120706 | − | 0.228676i | ||||
\(226\) | 6.07022 | − | 2.51577i | 0.403785 | − | 0.167346i | ||||
\(227\) | 1.45117 | + | 3.98706i | 0.0963177 | + | 0.264631i | 0.978489 | − | 0.206297i | \(-0.0661414\pi\) |
−0.882172 | + | 0.470928i | \(0.843919\pi\) | |||||||
\(228\) | −17.9106 | + | 5.17265i | −1.18616 | + | 0.342567i | ||||
\(229\) | 2.88614 | + | 3.43957i | 0.190722 | + | 0.227293i | 0.852928 | − | 0.522028i | \(-0.174824\pi\) |
−0.662207 | + | 0.749321i | \(0.730380\pi\) | |||||||
\(230\) | 8.60796 | − | 5.48626i | 0.567592 | − | 0.361753i | ||||
\(231\) | 10.4648 | + | 5.78014i | 0.688536 | + | 0.380306i | ||||
\(232\) | 1.08798 | + | 0.0468582i | 0.0714293 | + | 0.00307639i | ||||
\(233\) | 13.0676 | − | 7.54460i | 0.856089 | − | 0.494263i | −0.00661180 | − | 0.999978i | \(-0.502105\pi\) |
0.862701 | + | 0.505715i | \(0.168771\pi\) | |||||||
\(234\) | 17.6543 | − | 1.44650i | 1.15410 | − | 0.0945606i | ||||
\(235\) | 4.05650 | − | 7.02606i | 0.264617 | − | 0.458330i | ||||
\(236\) | −11.0528 | − | 5.14871i | −0.719476 | − | 0.335152i | ||||
\(237\) | 4.75809 | + | 24.2827i | 0.309071 | + | 1.57733i | ||||
\(238\) | 1.33262 | + | 0.693384i | 0.0863809 | + | 0.0449454i | ||||
\(239\) | 2.20515 | + | 12.5060i | 0.142639 | + | 0.808946i | 0.969233 | + | 0.246147i | \(0.0791646\pi\) |
−0.826593 | + | 0.562799i | \(0.809724\pi\) | |||||||
\(240\) | −16.2111 | + | 6.26560i | −1.04642 | + | 0.404443i | ||||
\(241\) | 7.55053 | + | 6.33565i | 0.486373 | + | 0.408115i | 0.852724 | − | 0.522361i | \(-0.174949\pi\) |
−0.366352 | + | 0.930477i | \(0.619393\pi\) | |||||||
\(242\) | −0.595667 | − | 0.0783018i | −0.0382909 | − | 0.00503343i | ||||
\(243\) | 3.92097 | − | 15.0873i | 0.251530 | − | 0.967849i | ||||
\(244\) | 2.41329 | − | 9.02072i | 0.154495 | − | 0.577492i | ||||
\(245\) | 4.79461 | + | 4.02316i | 0.306316 | + | 0.257030i | ||||
\(246\) | −12.3463 | − | 12.9660i | −0.787172 | − | 0.826679i | ||||
\(247\) | −22.1275 | + | 3.90168i | −1.40794 | + | 0.248258i | ||||
\(248\) | −2.38261 | + | 2.60325i | −0.151296 | + | 0.165307i | ||||
\(249\) | −4.60767 | − | 23.5151i | −0.291999 | − | 1.49021i | ||||
\(250\) | 3.95226 | − | 12.5436i | 0.249963 | − | 0.793326i | ||||
\(251\) | −11.6620 | − | 6.73304i | −0.736097 | − | 0.424986i | 0.0845514 | − | 0.996419i | \(-0.473054\pi\) |
−0.820649 | + | 0.571433i | \(0.806388\pi\) | |||||||
\(252\) | 12.7197 | + | 0.623136i | 0.801266 | + | 0.0392539i | ||||
\(253\) | −8.10327 | + | 4.67842i | −0.509448 | + | 0.294130i | ||||
\(254\) | −5.26987 | − | 23.7487i | −0.330661 | − | 1.49013i | ||||
\(255\) | −1.05134 | + | 1.90344i | −0.0658377 | + | 0.119198i | ||||
\(256\) | 15.0437 | + | 5.44863i | 0.940230 | + | 0.340539i | ||||
\(257\) | 9.56428 | + | 11.3983i | 0.596603 | + | 0.711004i | 0.976861 | − | 0.213877i | \(-0.0686091\pi\) |
−0.380258 | + | 0.924881i | \(0.624165\pi\) | |||||||
\(258\) | 25.7563 | − | 11.2514i | 1.60352 | − | 0.700481i | ||||
\(259\) | −19.7167 | + | 7.17629i | −1.22514 | + | 0.445913i | ||||
\(260\) | −20.2311 | + | 5.42945i | −1.25468 | + | 0.336720i | ||||
\(261\) | 0.539183 | − | 1.02147i | 0.0333746 | − | 0.0632277i | ||||
\(262\) | −19.4647 | − | 14.9297i | −1.20254 | − | 0.922362i | ||||
\(263\) | 3.85332 | − | 21.8533i | 0.237606 | − | 1.34753i | −0.599450 | − | 0.800412i | \(-0.704614\pi\) |
0.837056 | − | 0.547118i | \(-0.184275\pi\) | |||||||
\(264\) | 15.0973 | − | 5.08675i | 0.929176 | − | 0.313068i | ||||
\(265\) | −28.2182 | − | 10.2706i | −1.73343 | − | 0.630917i | ||||
\(266\) | −16.1383 | + | 0.707799i | −0.989505 | + | 0.0433980i | ||||
\(267\) | 24.0813 | − | 9.28564i | 1.47375 | − | 0.568272i | ||||
\(268\) | −14.0834 | − | 20.0963i | −0.860281 | − | 1.22758i | ||||
\(269\) | 6.95017 | 0.423760 | 0.211880 | − | 0.977296i | \(-0.432041\pi\) | ||||
0.211880 | + | 0.977296i | \(0.432041\pi\) | |||||||
\(270\) | −1.35957 | + | 18.3839i | −0.0827406 | + | 1.11881i | ||||
\(271\) | 18.3855i | 1.11684i | 0.829559 | + | 0.558419i | \(0.188592\pi\) | ||||
−0.829559 | + | 0.558419i | \(0.811408\pi\) | |||||||
\(272\) | 1.88058 | − | 0.686154i | 0.114027 | − | 0.0416042i | ||||
\(273\) | 15.1634 | + | 2.37822i | 0.917731 | + | 0.143936i | ||||
\(274\) | −3.33571 | + | 0.146298i | −0.201517 | + | 0.00883820i | ||||
\(275\) | 1.43800 | − | 3.95086i | 0.0867144 | − | 0.238246i | ||||
\(276\) | −5.55790 | + | 8.27383i | −0.334547 | + | 0.498026i | ||||
\(277\) | −11.8225 | − | 2.08462i | −0.710343 | − | 0.125253i | −0.193210 | − | 0.981157i | \(-0.561890\pi\) |
−0.517133 | + | 0.855905i | \(0.673001\pi\) | |||||||
\(278\) | −2.74547 | + | 3.57942i | −0.164662 | + | 0.214680i | ||||
\(279\) | 1.41263 | + | 3.46626i | 0.0845721 | + | 0.207519i | ||||
\(280\) | −14.9297 | + | 1.97451i | −0.892220 | + | 0.117999i | ||||
\(281\) | 3.95786 | + | 10.8741i | 0.236106 | + | 0.648696i | 0.999994 | + | 0.00334740i | \(0.00106551\pi\) |
−0.763888 | + | 0.645348i | \(0.776712\pi\) | |||||||
\(282\) | −0.883371 | + | 7.87254i | −0.0526040 | + | 0.468803i | ||||
\(283\) | 2.63822 | − | 2.21373i | 0.156826 | − | 0.131593i | −0.560998 | − | 0.827817i | \(-0.689583\pi\) |
0.717824 | + | 0.696224i | \(0.245138\pi\) | |||||||
\(284\) | 9.79916 | − | 4.57412i | 0.581473 | − | 0.271424i | ||||
\(285\) | −0.443339 | − | 23.3788i | −0.0262611 | − | 1.38484i | ||||
\(286\) | 18.7451 | − | 4.15956i | 1.10842 | − | 0.245960i | ||||
\(287\) | −7.75688 | − | 13.4353i | −0.457874 | − | 0.793061i | ||||
\(288\) | 12.0566 | − | 11.9431i | 0.710441 | − | 0.703757i | ||||
\(289\) | −8.37477 | + | 14.5055i | −0.492633 | + | 0.853266i | ||||
\(290\) | −0.410476 | + | 1.30276i | −0.0241040 | + | 0.0765007i | ||||
\(291\) | 0.287606 | − | 0.839378i | 0.0168598 | − | 0.0492052i | ||||
\(292\) | 15.0133 | + | 10.5036i | 0.878589 | + | 0.614679i | ||||
\(293\) | −4.70231 | − | 26.6681i | −0.274712 | − | 1.55797i | −0.739876 | − | 0.672743i | \(-0.765116\pi\) |
0.465164 | − | 0.885224i | \(-0.345995\pi\) | |||||||
\(294\) | −5.86281 | − | 1.72578i | −0.341926 | − | 0.100649i | ||||
\(295\) | 9.83059 | − | 11.7156i | 0.572359 | − | 0.682111i | ||||
\(296\) | −10.6848 | + | 25.8386i | −0.621042 | + | 1.50184i | ||||
\(297\) | 1.98342 | − | 16.7808i | 0.115090 | − | 0.973722i | ||||
\(298\) | −28.2653 | − | 3.71553i | −1.63736 | − | 0.215235i | ||||
\(299\) | −7.72182 | + | 9.20251i | −0.446564 | + | 0.532195i | ||||
\(300\) | −0.476621 | − | 4.45328i | −0.0275178 | − | 0.257110i | ||||
\(301\) | 23.9845 | − | 4.22911i | 1.38244 | − | 0.243762i | ||||
\(302\) | 0.554318 | − | 1.06535i | 0.0318974 | − | 0.0613039i | ||||
\(303\) | −14.9739 | − | 17.1732i | −0.860229 | − | 0.986572i | ||||
\(304\) | −13.8240 | + | 16.5012i | −0.792862 | + | 0.946409i | ||||
\(305\) | 10.1433 | + | 5.85621i | 0.580801 | + | 0.335326i | ||||
\(306\) | 0.196717 | − | 2.11415i | 0.0112456 | − | 0.120858i | ||||
\(307\) | 3.55520 | + | 6.15780i | 0.202906 | + | 0.351444i | 0.949464 | − | 0.313877i | \(-0.101628\pi\) |
−0.746557 | + | 0.665321i | \(0.768295\pi\) | |||||||
\(308\) | 13.7515 | − | 1.20856i | 0.783563 | − | 0.0688639i | ||||
\(309\) | −10.3040 | − | 17.0903i | −0.586175 | − | 0.972236i | ||||
\(310\) | −2.37901 | − | 3.73267i | −0.135119 | − | 0.212002i | ||||
\(311\) | 3.90024 | − | 3.27269i | 0.221162 | − | 0.185577i | −0.525474 | − | 0.850810i | \(-0.676112\pi\) |
0.746636 | + | 0.665232i | \(0.231668\pi\) | |||||||
\(312\) | 15.9805 | − | 12.7663i | 0.904717 | − | 0.722749i | ||||
\(313\) | 22.0859 | − | 8.03860i | 1.24837 | − | 0.454369i | 0.368518 | − | 0.929621i | \(-0.379865\pi\) |
0.879850 | + | 0.475252i | \(0.157643\pi\) | |||||||
\(314\) | −9.75892 | + | 4.04453i | −0.550728 | + | 0.228246i | ||||
\(315\) | −4.89017 | + | 15.2063i | −0.275530 | + | 0.856776i | ||||
\(316\) | 20.2118 | + | 20.1958i | 1.13700 | + | 1.13610i | ||||
\(317\) | 1.74582 | − | 9.90105i | 0.0980551 | − | 0.556098i | −0.895713 | − | 0.444632i | \(-0.853334\pi\) |
0.993768 | − | 0.111466i | \(-0.0355546\pi\) | |||||||
\(318\) | 29.2642 | − | 1.83995i | 1.64106 | − | 0.103179i | ||||
\(319\) | 0.428226 | − | 1.17654i | 0.0239761 | − | 0.0658737i | ||||
\(320\) | −11.4914 | + | 16.4527i | −0.642388 | + | 0.919737i | ||||
\(321\) | 3.96958 | + | 3.20460i | 0.221560 | + | 0.178863i | ||||
\(322\) | −6.36648 | + | 5.83611i | −0.354790 | + | 0.325234i | ||||
\(323\) | 2.69331i | 0.149860i | ||||||||
\(324\) | −5.96945 | − | 16.9813i | −0.331636 | − | 0.943407i | ||||
\(325\) | − | 5.39795i | − | 0.299424i | ||||||
\(326\) | −5.04162 | − | 5.49979i | −0.279229 | − | 0.304605i | ||||
\(327\) | 26.9263 | + | 21.7373i | 1.48903 | + | 1.20208i | ||||
\(328\) | −20.1862 | − | 4.46266i | −1.11459 | − | 0.246409i | ||||
\(329\) | −2.34776 | + | 6.45042i | −0.129436 | + | 0.355623i | ||||
\(330\) | 1.25388 | + | 19.9429i | 0.0690241 | + | 1.09782i | ||||
\(331\) | −0.758072 | + | 4.29924i | −0.0416674 | + | 0.236308i | −0.998528 | − | 0.0542401i | \(-0.982726\pi\) |
0.956861 | + | 0.290548i | \(0.0938375\pi\) | |||||||
\(332\) | −19.5728 | − | 19.5574i | −1.07420 | − | 1.07335i | ||||
\(333\) | 19.9106 | + | 21.9793i | 1.09109 | + | 1.20446i | ||||
\(334\) | −2.11398 | − | 5.10076i | −0.115672 | − | 0.279101i | ||||
\(335\) | 28.9236 | − | 10.5273i | 1.58027 | − | 0.575170i | ||||
\(336\) | 12.5873 | − | 7.60258i | 0.686693 | − | 0.414755i | ||||
\(337\) | −15.2139 | + | 12.7660i | −0.828757 | + | 0.695409i | −0.955005 | − | 0.296589i | \(-0.904151\pi\) |
0.126249 | + | 0.991999i | \(0.459706\pi\) | |||||||
\(338\) | 5.28486 | − | 3.36829i | 0.287459 | − | 0.183211i | ||||
\(339\) | −4.15525 | − | 6.89195i | −0.225682 | − | 0.374319i | ||||
\(340\) | 0.219823 | + | 2.50124i | 0.0119216 | + | 0.135649i | ||||
\(341\) | 2.02871 | + | 3.51382i | 0.109861 | + | 0.190284i | ||||
\(342\) | 9.53513 | + | 20.7461i | 0.515601 | + | 1.12182i | ||||
\(343\) | −17.4531 | − | 10.0766i | −0.942380 | − | 0.544083i | ||||
\(344\) | 17.4217 | − | 27.3823i | 0.939316 | − | 1.47635i | ||||
\(345\) | −8.21611 | − | 9.42283i | −0.442341 | − | 0.507308i | ||||
\(346\) | −1.56918 | − | 0.816473i | −0.0843598 | − | 0.0438938i | ||||
\(347\) | 13.3624 | − | 2.35616i | 0.717334 | − | 0.126485i | 0.196945 | − | 0.980415i | \(-0.436898\pi\) |
0.520389 | + | 0.853929i | \(0.325787\pi\) | |||||||
\(348\) | −0.141935 | − | 1.32616i | −0.00760850 | − | 0.0710895i | ||||
\(349\) | −20.5757 | + | 24.5212i | −1.10139 | + | 1.31259i | −0.155598 | + | 0.987820i | \(0.549730\pi\) |
−0.945794 | + | 0.324767i | \(0.894714\pi\) | |||||||
\(350\) | 0.505791 | − | 3.84772i | 0.0270357 | − | 0.205669i | ||||
\(351\) | −4.97575 | − | 21.1161i | −0.265586 | − | 1.12710i | ||||
\(352\) | 11.1843 | − | 14.6054i | 0.596124 | − | 0.778470i | ||||
\(353\) | −2.68155 | + | 3.19575i | −0.142725 | + | 0.170093i | −0.832671 | − | 0.553768i | \(-0.813190\pi\) |
0.689947 | + | 0.723860i | \(0.257634\pi\) | |||||||
\(354\) | −4.21694 | + | 14.3258i | −0.224128 | + | 0.761406i | ||||
\(355\) | 2.35537 | + | 13.3579i | 0.125010 | + | 0.708966i | ||||
\(356\) | 17.0843 | − | 24.4194i | 0.905465 | − | 1.29422i | ||||
\(357\) | 0.596368 | − | 1.74050i | 0.0315631 | − | 0.0921169i | ||||
\(358\) | −18.1006 | − | 5.70318i | −0.956646 | − | 0.301422i | ||||
\(359\) | 5.32400 | − | 9.22145i | 0.280990 | − | 0.486689i | −0.690639 | − | 0.723200i | \(-0.742670\pi\) |
0.971629 | + | 0.236511i | \(0.0760038\pi\) | |||||||
\(360\) | 10.5484 | + | 18.4884i | 0.555950 | + | 0.974422i | ||||
\(361\) | −4.98105 | − | 8.62742i | −0.262160 | − | 0.454075i | ||||
\(362\) | 0.976122 | + | 4.39890i | 0.0513039 | + | 0.231201i | ||||
\(363\) | 0.0139510 | + | 0.735684i | 0.000732237 | + | 0.0386134i | ||||
\(364\) | 16.0598 | − | 7.49649i | 0.841760 | − | 0.392923i | ||||
\(365\) | −17.6052 | + | 14.7726i | −0.921501 | + | 0.773231i | ||||
\(366\) | −11.3653 | − | 1.27529i | −0.594073 | − | 0.0666604i | ||||
\(367\) | 1.17353 | + | 3.22425i | 0.0612578 | + | 0.168304i | 0.966546 | − | 0.256494i | \(-0.0825673\pi\) |
−0.905288 | + | 0.424798i | \(0.860345\pi\) | |||||||
\(368\) | 0.00906503 | + | 11.5092i | 0.000472547 | + | 0.599959i | ||||
\(369\) | −13.4478 | + | 17.3198i | −0.700066 | + | 0.901635i | ||||
\(370\) | −27.8275 | − | 21.3441i | −1.44668 | − | 1.10963i | ||||
\(371\) | 25.0217 | + | 4.41199i | 1.29906 | + | 0.229059i | ||||
\(372\) | 3.58778 | + | 2.41007i | 0.186018 | + | 0.124957i | ||||
\(373\) | 4.78365 | − | 13.1430i | 0.247688 | − | 0.680517i | −0.752082 | − | 0.659069i | \(-0.770950\pi\) |
0.999770 | − | 0.0214474i | \(-0.00682744\pi\) | |||||||
\(374\) | −0.100847 | − | 2.29939i | −0.00521469 | − | 0.118899i | ||||
\(375\) | −15.9127 | − | 2.49574i | −0.821729 | − | 0.128879i | ||||
\(376\) | 4.22862 | + | 8.11141i | 0.218075 | + | 0.418314i | ||||
\(377\) | − | 1.60747i | − | 0.0827891i | ||||||
\(378\) | −1.56818 | − | 15.5180i | −0.0806583 | − | 0.798162i | ||||
\(379\) | −3.34127 | −0.171629 | −0.0858147 | − | 0.996311i | \(-0.527349\pi\) | ||||
−0.0858147 | + | 0.996311i | \(0.527349\pi\) | |||||||
\(380\) | −15.4955 | − | 22.1113i | −0.794902 | − | 1.13429i | ||||
\(381\) | −27.7986 | + | 10.7190i | −1.42417 | + | 0.549151i | ||||
\(382\) | 0.189478 | + | 4.32024i | 0.00969454 | + | 0.221043i | ||||
\(383\) | 11.8647 | + | 4.31841i | 0.606260 | + | 0.220660i | 0.626866 | − | 0.779127i | \(-0.284337\pi\) |
−0.0206063 | + | 0.999788i | \(0.506560\pi\) | |||||||
\(384\) | 3.85136 | − | 19.2137i | 0.196539 | − | 0.980496i | ||||
\(385\) | −3.00667 | + | 17.0517i | −0.153234 | + | 0.869033i | ||||
\(386\) | 7.19878 | − | 9.38546i | 0.366408 | − | 0.477707i | ||||
\(387\) | −18.3296 | − | 29.1376i | −0.931744 | − | 1.48115i | ||||
\(388\) | −0.265562 | − | 0.989532i | −0.0134819 | − | 0.0502359i | ||||
\(389\) | −33.8930 | + | 12.3361i | −1.71845 | + | 0.625463i | −0.997703 | − | 0.0677397i | \(-0.978421\pi\) |
−0.720743 | + | 0.693203i | \(0.756199\pi\) | |||||||
\(390\) | 10.2699 | + | 23.5094i | 0.520036 | + | 1.19045i | ||||
\(391\) | 0.925603 | + | 1.10309i | 0.0468097 | + | 0.0557857i | ||||
\(392\) | −6.72911 | + | 2.12605i | −0.339872 | + | 0.107382i | ||||
\(393\) | −14.5261 | + | 26.2993i | −0.732746 | + | 1.32662i | ||||
\(394\) | −8.90184 | + | 1.97533i | −0.448468 | + | 0.0995157i | ||||
\(395\) | −31.0366 | + | 17.9190i | −1.56162 | + | 0.901601i | ||||
\(396\) | −8.91734 | − | 17.3547i | −0.448113 | − | 0.872109i | ||||
\(397\) | −15.9084 | − | 9.18470i | −0.798418 | − | 0.460967i | 0.0444994 | − | 0.999009i | \(-0.485831\pi\) |
−0.842918 | + | 0.538042i | \(0.819164\pi\) | |||||||
\(398\) | −9.89068 | − | 3.11638i | −0.495775 | − | 0.156210i | ||||
\(399\) | 3.80431 | + | 19.4151i | 0.190454 | + | 0.971973i | ||||
\(400\) | −3.32734 | − | 3.95903i | −0.166367 | − | 0.197952i | ||||
\(401\) | 6.51556 | − | 1.14887i | 0.325372 | − | 0.0573718i | −0.00857653 | − | 0.999963i | \(-0.502730\pi\) |
0.333948 | + | 0.942591i | \(0.391619\pi\) | |||||||
\(402\) | −21.7659 | + | 20.7257i | −1.08558 | + | 1.03370i | ||||
\(403\) | 3.99048 | + | 3.34841i | 0.198780 | + | 0.166796i | ||||
\(404\) | −25.4155 | − | 6.79935i | −1.26447 | − | 0.338280i | ||||
\(405\) | 22.5122 | − | 1.71069i | 1.11864 | − | 0.0850051i | ||||
\(406\) | 0.150621 | − | 1.14583i | 0.00747521 | − | 0.0568664i | ||||
\(407\) | 24.6263 | + | 20.6640i | 1.22068 | + | 1.02427i | ||||
\(408\) | −1.17440 | − | 2.15218i | −0.0581412 | − | 0.106549i | ||||
\(409\) | 0.528720 | + | 2.99852i | 0.0261435 | + | 0.148267i | 0.995085 | − | 0.0990218i | \(-0.0315714\pi\) |
−0.968942 | + | 0.247289i | \(0.920460\pi\) | |||||||
\(410\) | 11.9688 | − | 23.0030i | 0.591099 | − | 1.13604i | ||||
\(411\) | 0.786330 | + | 4.01300i | 0.0387868 | + | 0.197947i | ||||
\(412\) | −20.8884 | − | 9.73039i | −1.02910 | − | 0.479382i | ||||
\(413\) | −6.46998 | + | 11.2063i | −0.318367 | + | 0.551428i | ||||
\(414\) | 11.0350 | + | 5.21998i | 0.542341 | + | 0.256548i | ||||
\(415\) | 30.0554 | − | 17.3525i | 1.47536 | − | 0.851801i | ||||
\(416\) | 7.07986 | − | 22.5318i | 0.347119 | − | 1.10471i | ||||
\(417\) | 4.83624 | + | 2.67125i | 0.236832 | + | 0.130812i | ||||
\(418\) | 13.3022 | + | 20.8712i | 0.650633 | + | 1.02085i | ||||
\(419\) | −17.1887 | − | 20.4847i | −0.839723 | − | 1.00074i | −0.999907 | − | 0.0136562i | \(-0.995653\pi\) |
0.160183 | − | 0.987087i | \(-0.448791\pi\) | |||||||
\(420\) | 5.11764 | + | 17.7201i | 0.249715 | + | 0.864652i | ||||
\(421\) | 10.4312 | + | 28.6596i | 0.508387 | + | 1.39678i | 0.882900 | + | 0.469560i | \(0.155588\pi\) |
−0.374513 | + | 0.927222i | \(0.622190\pi\) | |||||||
\(422\) | −1.77911 | − | 4.29275i | −0.0866056 | − | 0.208968i | ||||
\(423\) | 9.69538 | − | 0.367845i | 0.471406 | − | 0.0178852i | ||||
\(424\) | 26.8493 | − | 20.6274i | 1.30392 | − | 1.00176i | ||||
\(425\) | −0.637214 | − | 0.112358i | −0.0309094 | − | 0.00545016i | ||||
\(426\) | −7.32900 | − | 11.0320i | −0.355091 | − | 0.534502i | ||||
\(427\) | −9.31223 | − | 3.38938i | −0.450651 | − | 0.164023i | ||||
\(428\) | 5.86868 | + | 0.511114i | 0.283673 | + | 0.0247056i | ||||
\(429\) | −8.46062 | − | 21.9417i | −0.408482 | − | 1.05936i | ||||
\(430\) | 27.5074 | + | 30.0072i | 1.32652 | + | 1.44707i | ||||
\(431\) | 9.80169 | 0.472131 | 0.236065 | − | 0.971737i | \(-0.424142\pi\) | ||||
0.236065 | + | 0.971737i | \(0.424142\pi\) | |||||||
\(432\) | −16.6655 | − | 12.4202i | −0.801820 | − | 0.597565i | ||||
\(433\) | −17.0457 | −0.819163 | −0.409582 | − | 0.912273i | \(-0.634325\pi\) | ||||
−0.409582 | + | 0.912273i | \(0.634325\pi\) | |||||||
\(434\) | 2.53071 | + | 2.76070i | 0.121478 | + | 0.132518i | ||||
\(435\) | 1.65267 | + | 0.259204i | 0.0792395 | + | 0.0124279i | ||||
\(436\) | 39.8082 | + | 3.46697i | 1.90647 | + | 0.166038i | ||||
\(437\) | −14.5508 | − | 5.29605i | −0.696058 | − | 0.253345i | ||||
\(438\) | 9.97879 | − | 20.1001i | 0.476805 | − | 0.960420i | ||||
\(439\) | 1.11745 | + | 0.197037i | 0.0533332 | + | 0.00940408i | 0.200251 | − | 0.979745i | \(-0.435824\pi\) |
−0.146918 | + | 0.989149i | \(0.546935\pi\) | |||||||
\(440\) | 14.0571 | + | 18.2972i | 0.670145 | + | 0.872283i | ||||
\(441\) | −1.01936 | + | 7.41533i | −0.0485411 | + | 0.353111i | ||||
\(442\) | −1.13136 | − | 2.72981i | −0.0538131 | − | 0.129844i | ||||
\(443\) | −4.36044 | − | 11.9802i | −0.207171 | − | 0.569198i | 0.791973 | − | 0.610556i | \(-0.209054\pi\) |
−0.999144 | + | 0.0413580i | \(0.986832\pi\) | |||||||
\(444\) | 33.2431 | + | 8.22133i | 1.57765 | + | 0.390167i | ||||
\(445\) | 24.0277 | + | 28.6351i | 1.13902 | + | 1.35743i | ||||
\(446\) | 10.7269 | + | 16.8305i | 0.507932 | + | 0.796947i | ||||
\(447\) | 0.661994 | + | 34.9093i | 0.0313113 | + | 1.65115i | ||||
\(448\) | 7.15785 | − | 15.3975i | 0.338177 | − | 0.727465i | ||||
\(449\) | −9.50475 | + | 5.48757i | −0.448557 | + | 0.258974i | −0.707221 | − | 0.706993i | \(-0.750051\pi\) |
0.258664 | + | 0.965967i | \(0.416718\pi\) | |||||||
\(450\) | −5.30612 | + | 1.39046i | −0.250133 | + | 0.0655467i | ||||
\(451\) | −11.8846 | + | 20.5847i | −0.559624 | + | 0.969297i | ||||
\(452\) | −8.42355 | − | 3.92393i | −0.396210 | − | 0.184566i | ||||
\(453\) | −1.39142 | − | 0.476759i | −0.0653746 | − | 0.0224001i | ||||
\(454\) | 2.76964 | − | 5.32299i | 0.129986 | − | 0.249820i | ||||
\(455\) | 3.86019 | + | 21.8922i | 0.180968 | + | 1.02632i | ||||
\(456\) | 22.5083 | + | 13.7282i | 1.05405 | + | 0.642884i | ||||
\(457\) | −1.04379 | − | 0.875846i | −0.0488265 | − | 0.0409703i | 0.618048 | − | 0.786140i | \(-0.287924\pi\) |
−0.666874 | + | 0.745170i | \(0.732368\pi\) | |||||||
\(458\) | 0.827586 | − | 6.29572i | 0.0386705 | − | 0.294180i | ||||
\(459\) | −2.59627 | + | 0.147843i | −0.121184 | + | 0.00690073i | ||||
\(460\) | −13.9454 | − | 3.73077i | −0.650207 | − | 0.173948i | ||||
\(461\) | −12.1576 | − | 10.2015i | −0.566237 | − | 0.475129i | 0.314158 | − | 0.949371i | \(-0.398278\pi\) |
−0.880395 | + | 0.474242i | \(0.842722\pi\) | |||||||
\(462\) | −3.97487 | − | 16.4331i | −0.184928 | − | 0.764536i | ||||
\(463\) | 3.06325 | − | 0.540133i | 0.142361 | − | 0.0251021i | −0.102013 | − | 0.994783i | \(-0.532528\pi\) |
0.244375 | + | 0.969681i | \(0.421417\pi\) | |||||||
\(464\) | −0.990860 | − | 1.17897i | −0.0459995 | − | 0.0547325i | ||||
\(465\) | −4.08602 | + | 3.56275i | −0.189485 | + | 0.165219i | ||||
\(466\) | −20.3530 | − | 6.41286i | −0.942833 | − | 0.297070i | ||||
\(467\) | 26.1173 | + | 15.0788i | 1.20857 | + | 0.697766i | 0.962446 | − | 0.271474i | \(-0.0875111\pi\) |
0.246120 | + | 0.969239i | \(0.420844\pi\) | |||||||
\(468\) | −18.3790 | − | 17.0219i | −0.849568 | − | 0.786837i | ||||
\(469\) | −22.5538 | + | 13.0214i | −1.04144 | + | 0.601273i | ||||
\(470\) | −11.2010 | + | 2.48553i | −0.516666 | + | 0.114649i | ||||
\(471\) | 6.68028 | + | 11.0800i | 0.307811 | + | 0.510539i | ||||
\(472\) | 5.19501 | + | 16.4426i | 0.239120 | + | 0.756832i | ||||
\(473\) | −23.9852 | − | 28.5845i | −1.10284 | − | 1.31432i | ||||
\(474\) | 20.7672 | − | 28.1656i | 0.953871 | − | 1.29369i | ||||
\(475\) | 6.53827 | − | 2.37974i | 0.299997 | − | 0.109190i | ||||
\(476\) | −0.550658 | − | 2.05185i | −0.0252394 | − | 0.0940464i | ||||
\(477\) | −7.57241 | − | 35.1046i | −0.346717 | − | 1.60733i | ||||
\(478\) | 10.9299 | − | 14.2500i | 0.499924 | − | 0.651779i | ||||
\(479\) | 4.70699 | − | 26.6947i | 0.215068 | − | 1.21971i | −0.665721 | − | 0.746201i | \(-0.731876\pi\) |
0.880789 | − | 0.473510i | \(-0.157013\pi\) | |||||||
\(480\) | 22.0237 | + | 10.9122i | 1.00524 | + | 0.498069i | ||||
\(481\) | 38.7842 | + | 14.1163i | 1.76841 | + | 0.643647i | ||||
\(482\) | −0.610763 | − | 13.9258i | −0.0278195 | − | 0.634305i | ||||
\(483\) | 8.23047 | + | 6.64438i | 0.374499 | + | 0.302330i | ||||
\(484\) | 0.487612 | + | 0.695799i | 0.0221642 | + | 0.0316272i | ||||
\(485\) | 1.28507 | 0.0583521 | ||||||||
\(486\) | −19.4752 | + | 10.3304i | −0.883413 | + | 0.468596i | ||||
\(487\) | 12.4692i | 0.565032i | 0.959263 | + | 0.282516i | \(0.0911691\pi\) | ||||
−0.959263 | + | 0.282516i | \(0.908831\pi\) | |||||||
\(488\) | −11.7101 | + | 6.10471i | −0.530093 | + | 0.276347i | ||||
\(489\) | −5.73986 | + | 7.11002i | −0.259565 | + | 0.321526i | ||||
\(490\) | −0.387836 | − | 8.84295i | −0.0175206 | − | 0.399484i | ||||
\(491\) | −7.94617 | + | 21.8319i | −0.358606 | + | 0.985261i | 0.620908 | + | 0.783883i | \(0.286764\pi\) |
−0.979514 | + | 0.201377i | \(0.935458\pi\) | |||||||
\(492\) | −1.71819 | + | 25.2615i | −0.0774621 | + | 1.13888i | ||||
\(493\) | −0.189758 | − | 0.0334595i | −0.00854628 | − | 0.00150694i | ||||
\(494\) | 25.2132 | + | 19.3389i | 1.13440 | + | 0.870099i | ||||
\(495\) | 23.9229 | − | 5.16042i | 1.07526 | − | 0.231944i | ||||
\(496\) | 4.99074 | − | 0.00393087i | 0.224091 | − | 0.000176501i | ||||
\(497\) | −3.92519 | − | 10.7844i | −0.176069 | − | 0.483745i | ||||
\(498\) | −20.1107 | + | 27.2752i | −0.901183 | + | 1.22223i | ||||
\(499\) | 2.97245 | − | 2.49418i | 0.133065 | − | 0.111655i | −0.573826 | − | 0.818977i | \(-0.694542\pi\) |
0.706891 | + | 0.707322i | \(0.250097\pi\) | |||||||
\(500\) | −16.8534 | + | 7.86693i | −0.753705 | + | 0.351820i | ||||
\(501\) | −5.79125 | + | 3.49163i | −0.258734 | + | 0.155994i | ||||
\(502\) | 4.12552 | + | 18.5917i | 0.184131 | + | 0.829788i | ||||
\(503\) | −4.27407 | − | 7.40291i | −0.190571 | − | 0.330079i | 0.754868 | − | 0.655876i | \(-0.227701\pi\) |
−0.945440 | + | 0.325797i | \(0.894367\pi\) | |||||||
\(504\) | −11.5058 | − | 13.8555i | −0.512508 | − | 0.617174i | ||||
\(505\) | 16.4997 | − | 28.5782i | 0.734225 | − | 1.27172i | ||||
\(506\) | 12.6209 | + | 3.97663i | 0.561068 | + | 0.176783i | ||||
\(507\) | −5.04428 | − | 5.78515i | −0.224025 | − | 0.256927i | ||||
\(508\) | −19.7215 | + | 28.1888i | −0.874999 | + | 1.25068i | ||||
\(509\) | −0.382218 | − | 2.16767i | −0.0169415 | − | 0.0960802i | 0.975165 | − | 0.221482i | \(-0.0710893\pi\) |
−0.992106 | + | 0.125401i | \(0.959978\pi\) | |||||||
\(510\) | 2.98900 | − | 0.722985i | 0.132355 | − | 0.0320143i | ||||
\(511\) | 12.4990 | − | 14.8958i | 0.552925 | − | 0.658951i | ||||
\(512\) | −8.69617 | − | 20.8896i | −0.384320 | − | 0.923200i | ||||
\(513\) | 23.3833 | − | 15.3361i | 1.03240 | − | 0.677106i | ||||
\(514\) | 2.74250 | − | 20.8631i | 0.120967 | − | 0.920233i | ||||
\(515\) | 18.5785 | − | 22.1410i | 0.818668 | − | 0.975651i | ||||
\(516\) | −36.3429 | − | 16.0982i | −1.59991 | − | 0.708683i | ||||
\(517\) | 10.3574 | − | 1.82629i | 0.455519 | − | 0.0803202i | ||||
\(518\) | 26.3231 | + | 13.6963i | 1.15657 | + | 0.601783i | ||||
\(519\) | −0.702234 | + | 2.04947i | −0.0308246 | + | 0.0899616i | ||||
\(520\) | 24.9936 | + | 15.9019i | 1.09604 | + | 0.697346i | ||||
\(521\) | 0.771434 | + | 0.445388i | 0.0337971 | + | 0.0195128i | 0.516803 | − | 0.856104i | \(-0.327122\pi\) |
−0.483006 | + | 0.875617i | \(0.660455\pi\) | |||||||
\(522\) | −1.58013 | + | 0.414069i | −0.0691603 | + | 0.0181233i | ||||
\(523\) | −3.36736 | − | 5.83244i | −0.147244 | − | 0.255035i | 0.782964 | − | 0.622067i | \(-0.213707\pi\) |
−0.930208 | + | 0.367033i | \(0.880374\pi\) | |||||||
\(524\) | 3.03723 | + | 34.5589i | 0.132682 | + | 1.50971i | ||||
\(525\) | −4.75216 | + | 0.0901165i | −0.207401 | + | 0.00393301i | ||||
\(526\) | −26.4639 | + | 16.8667i | −1.15388 | + | 0.735424i | ||||
\(527\) | 0.478333 | − | 0.401369i | 0.0208365 | − | 0.0174839i | ||||
\(528\) | −19.7303 | − | 10.8776i | −0.858653 | − | 0.473386i | ||||
\(529\) | 13.8333 | − | 5.03492i | 0.601449 | − | 0.218910i | ||||
\(530\) | 16.2594 | + | 39.2318i | 0.706263 | + | 1.70412i | ||||
\(531\) | 18.1194 | + | 2.49082i | 0.786313 | + | 0.108092i | ||||
\(532\) | 16.1602 | + | 16.1475i | 0.700634 | + | 0.700083i | ||||
\(533\) | −5.29916 | + | 30.0530i | −0.229532 | + | 1.30174i | ||||
\(534\) | −32.6930 | − | 16.2306i | −1.41477 | − | 0.702367i | ||||
\(535\) | −2.52713 | + | 6.94324i | −0.109258 | + | 0.300183i | ||||
\(536\) | −7.49143 | + | 33.8864i | −0.323581 | + | 1.46367i | ||||
\(537\) | −3.60139 | + | 22.9623i | −0.155411 | + | 0.990895i | ||||
\(538\) | −6.64182 | − | 7.24541i | −0.286349 | − | 0.312372i | ||||
\(539\) | 8.11368i | 0.349481i | ||||||||
\(540\) | 20.4641 | − | 16.1510i | 0.880634 | − | 0.695027i | ||||
\(541\) | − | 29.9430i | − | 1.28735i | −0.765299 | − | 0.643675i | \(-0.777409\pi\) | ||
0.765299 | − | 0.643675i | \(-0.222591\pi\) | |||||||
\(542\) | 19.1665 | − | 17.5698i | 0.823270 | − | 0.754687i | ||||
\(543\) | 5.14905 | − | 1.98545i | 0.220967 | − | 0.0852038i | ||||
\(544\) | −2.51245 | − | 1.30476i | −0.107720 | − | 0.0559410i | ||||
\(545\) | −17.1420 | + | 47.0971i | −0.734281 | + | 2.01742i | ||||
\(546\) | −12.0114 | − | 18.0802i | −0.514041 | − | 0.773763i | ||||
\(547\) | 0.156388 | − | 0.886918i | 0.00668665 | − | 0.0379219i | −0.981282 | − | 0.192577i | \(-0.938316\pi\) |
0.987969 | + | 0.154655i | \(0.0494266\pi\) | |||||||
\(548\) | 3.34023 | + | 3.33760i | 0.142687 | + | 0.142575i | ||||
\(549\) | 0.531043 | + | 13.9969i | 0.0226644 | + | 0.597371i | ||||
\(550\) | −5.49289 | + | 2.27650i | −0.234218 | + | 0.0970702i | ||||
\(551\) | 1.94706 | − | 0.708670i | 0.0829473 | − | 0.0301904i | ||||
\(552\) | 13.9366 | − | 2.11275i | 0.593182 | − | 0.0899246i | ||||
\(553\) | 23.2283 | − | 19.4909i | 0.987770 | − | 0.828837i | ||||
\(554\) | 9.12478 | + | 14.3168i | 0.387675 | + | 0.608263i | ||||
\(555\) | −20.7671 | + | 37.5984i | −0.881514 | + | 1.59596i | ||||
\(556\) | 6.35514 | − | 0.558525i | 0.269518 | − | 0.0236867i | ||||
\(557\) | −2.99133 | − | 5.18113i | −0.126747 | − | 0.219531i | 0.795668 | − | 0.605733i | \(-0.207120\pi\) |
−0.922414 | + | 0.386202i | \(0.873787\pi\) | |||||||
\(558\) | 2.26354 | − | 4.78511i | 0.0958234 | − | 0.202570i | ||||
\(559\) | −41.4887 | − | 23.9535i | −1.75478 | − | 1.01313i | ||||
\(560\) | 16.3257 | + | 13.6770i | 0.689887 | + | 0.577959i | ||||
\(561\) | −2.76627 | + | 0.542038i | −0.116792 | + | 0.0228849i | ||||
\(562\) | 7.55378 | − | 14.5177i | 0.318637 | − | 0.612391i | ||||
\(563\) | 33.0591 | − | 5.82922i | 1.39328 | − | 0.245672i | 0.573899 | − | 0.818926i | \(-0.305430\pi\) |
0.819378 | + | 0.573254i | \(0.194319\pi\) | |||||||
\(564\) | 9.05114 | − | 6.60237i | 0.381122 | − | 0.278010i | ||||
\(565\) | 7.49208 | − | 8.92871i | 0.315194 | − | 0.375634i | ||||
\(566\) | −4.82894 | − | 0.634775i | −0.202976 | − | 0.0266816i | ||||
\(567\) | −18.5068 | + | 4.73300i | −0.777213 | + | 0.198767i | ||||
\(568\) | −14.1328 | − | 5.84424i | −0.593001 | − | 0.245219i | ||||
\(569\) | 14.2778 | − | 17.0156i | 0.598557 | − | 0.713332i | −0.378670 | − | 0.925532i | \(-0.623618\pi\) |
0.977226 | + | 0.212200i | \(0.0680628\pi\) | |||||||
\(570\) | −23.9483 | + | 22.8038i | −1.00308 | + | 0.955145i | ||||
\(571\) | −5.16056 | − | 29.2670i | −0.215963 | − | 1.22479i | −0.879228 | − | 0.476401i | \(-0.841941\pi\) |
0.663265 | − | 0.748384i | \(-0.269170\pi\) | |||||||
\(572\) | −22.2497 | − | 15.5664i | −0.930308 | − | 0.650862i | ||||
\(573\) | 5.19744 | − | 1.01841i | 0.217126 | − | 0.0425449i | ||||
\(574\) | −6.59329 | + | 20.9256i | −0.275199 | + | 0.873419i | ||||
\(575\) | 1.86002 | − | 3.22165i | 0.0775683 | − | 0.134352i | ||||
\(576\) | −23.9722 | − | 1.15547i | −0.998840 | − | 0.0481444i | ||||
\(577\) | 4.32870 | + | 7.49753i | 0.180206 | + | 0.312126i | 0.941951 | − | 0.335751i | \(-0.108990\pi\) |
−0.761744 | + | 0.647878i | \(0.775657\pi\) | |||||||
\(578\) | 23.1249 | − | 5.13145i | 0.961870 | − | 0.213440i | ||||
\(579\) | −12.6809 | − | 7.00417i | −0.527001 | − | 0.291083i | ||||
\(580\) | 1.75036 | − | 0.817048i | 0.0726799 | − | 0.0339261i | ||||
\(581\) | −22.4940 | + | 18.8747i | −0.933209 | + | 0.783056i | ||||
\(582\) | −1.14988 | + | 0.502315i | −0.0476641 | + | 0.0208216i | ||||
\(583\) | −13.3142 | − | 36.5804i | −0.551416 | − | 1.51500i | ||||
\(584\) | −3.39743 | − | 25.6887i | −0.140586 | − | 1.06301i | ||||
\(585\) | 26.5958 | − | 16.7306i | 1.09960 | − | 0.691725i | ||||
\(586\) | −23.3073 | + | 30.3870i | −0.962814 | + | 1.25528i | ||||
\(587\) | −35.9900 | − | 6.34601i | −1.48547 | − | 0.261928i | −0.628707 | − | 0.777642i | \(-0.716415\pi\) |
−0.856760 | + | 0.515715i | \(0.827527\pi\) | |||||||
\(588\) | 3.80361 | + | 7.76107i | 0.156858 | + | 0.320061i | ||||
\(589\) | −2.29653 | + | 6.30966i | −0.0946268 | + | 0.259985i | ||||
\(590\) | −21.6078 | + | 0.947678i | −0.889577 | + | 0.0390153i | ||||
\(591\) | 4.01785 | + | 10.4199i | 0.165272 | + | 0.428617i | ||||
\(592\) | 37.1470 | − | 13.5535i | 1.52673 | − | 0.557047i | ||||
\(593\) | − | 10.8958i | − | 0.447436i | −0.974654 | − | 0.223718i | \(-0.928181\pi\) | ||
0.974654 | − | 0.223718i | \(-0.0718194\pi\) | |||||||
\(594\) | −19.3891 | + | 13.9686i | −0.795544 | + | 0.573140i | ||||
\(595\) | 2.66467 | 0.109241 | ||||||||
\(596\) | 23.1379 | + | 33.0167i | 0.947765 | + | 1.35242i | ||||
\(597\) | −1.96790 | + | 12.5473i | −0.0805409 | + | 0.513525i | ||||
\(598\) | 16.9727 | − | 0.744391i | 0.694064 | − | 0.0304404i | ||||
\(599\) | 30.9493 | + | 11.2646i | 1.26455 | + | 0.460260i | 0.885295 | − | 0.465031i | \(-0.153957\pi\) |
0.379259 | + | 0.925291i | \(0.376179\pi\) | |||||||
\(600\) | −4.18697 | + | 4.75257i | −0.170932 | + | 0.194023i | ||||
\(601\) | −0.286907 | + | 1.62713i | −0.0117032 | + | 0.0663720i | −0.990100 | − | 0.140364i | \(-0.955173\pi\) |
0.978397 | + | 0.206736i | \(0.0662840\pi\) | |||||||
\(602\) | −27.3291 | − | 20.9618i | −1.11385 | − | 0.854341i | ||||
\(603\) | 29.0747 | + | 22.5748i | 1.18401 | + | 0.919317i | ||||
\(604\) | −1.64033 | + | 0.440217i | −0.0667440 | + | 0.0179122i | ||||
\(605\) | −1.00143 | + | 0.364490i | −0.0407139 | + | 0.0148186i | ||||
\(606\) | −3.59308 | + | 32.0213i | −0.145959 | + | 1.30077i | ||||
\(607\) | −15.4385 | − | 18.3989i | −0.626628 | − | 0.746787i | 0.355567 | − | 0.934651i | \(-0.384288\pi\) |
−0.982195 | + | 0.187864i | \(0.939843\pi\) | |||||||
\(608\) | 30.4129 | − | 1.35786i | 1.23341 | − | 0.0550683i | ||||
\(609\) | −1.41516 | + | 0.0268361i | −0.0573453 | + | 0.00108745i | ||||
\(610\) | −3.58826 | − | 16.1705i | −0.145284 | − | 0.654726i | ||||
\(611\) | 11.6937 | − | 6.75138i | 0.473078 | − | 0.273132i | ||||
\(612\) | −2.39195 | + | 1.81528i | −0.0966887 | + | 0.0733783i | ||||
\(613\) | 33.2300 | + | 19.1854i | 1.34215 | + | 0.774889i | 0.987122 | − | 0.159968i | \(-0.0511390\pi\) |
0.355025 | + | 0.934857i | \(0.384472\pi\) | |||||||
\(614\) | 3.02190 | − | 9.59083i | 0.121954 | − | 0.387054i | ||||
\(615\) | −30.0436 | − | 10.2942i | −1.21147 | − | 0.415102i | ||||
\(616\) | −14.4013 | − | 13.1807i | −0.580244 | − | 0.531065i | ||||
\(617\) | −3.23994 | + | 0.571288i | −0.130435 | + | 0.0229992i | −0.238484 | − | 0.971146i | \(-0.576651\pi\) |
0.108050 | + | 0.994146i | \(0.465539\pi\) | |||||||
\(618\) | −7.96946 | + | 27.0738i | −0.320579 | + | 1.08907i | ||||
\(619\) | −13.4224 | − | 11.2627i | −0.539493 | − | 0.452688i | 0.331872 | − | 0.943325i | \(-0.392320\pi\) |
−0.871364 | + | 0.490636i | \(0.836764\pi\) | |||||||
\(620\) | −1.61777 | + | 6.04714i | −0.0649713 | + | 0.242859i | ||||
\(621\) | 4.30651 | − | 14.3172i | 0.172814 | − | 0.574531i | ||||
\(622\) | −7.13891 | − | 0.938426i | −0.286244 | − | 0.0376274i | ||||
\(623\) | −24.2281 | − | 20.3298i | −0.970680 | − | 0.814497i | ||||
\(624\) | −28.5801 | − | 4.45942i | −1.14412 | − | 0.178520i | ||||
\(625\) | −5.17348 | − | 29.3403i | −0.206939 | − | 1.17361i | ||||
\(626\) | −29.4861 | − | 15.3421i | −1.17850 | − | 0.613194i | ||||
\(627\) | 22.8470 | − | 19.9211i | 0.912421 | − | 0.795574i | ||||
\(628\) | 13.5423 | + | 6.30839i | 0.540397 | + | 0.251732i | ||||
\(629\) | 2.47368 | − | 4.28454i | 0.0986321 | − | 0.170836i | ||||
\(630\) | 20.5254 | − | 9.43372i | 0.817753 | − | 0.375848i | ||||
\(631\) | 41.4323 | − | 23.9209i | 1.64939 | − | 0.952277i | 0.672078 | − | 0.740480i | \(-0.265402\pi\) |
0.977314 | − | 0.211797i | \(-0.0679314\pi\) | |||||||
\(632\) | 1.73871 | − | 40.3702i | 0.0691621 | − | 1.60584i | ||||
\(633\) | −4.87386 | + | 2.93852i | −0.193719 | + | 0.116796i | ||||
\(634\) | −11.9900 | + | 7.64180i | −0.476184 | + | 0.303494i | ||||
\(635\) | −27.7367 | − | 33.0554i | −1.10070 | − | 1.31176i | ||||
\(636\) | −29.8840 | − | 28.7490i | −1.18498 | − | 1.13997i | ||||
\(637\) | 3.56281 | + | 9.78874i | 0.141164 | + | 0.387844i | ||||
\(638\) | −1.63575 | + | 0.677926i | −0.0647599 | + | 0.0268394i | ||||
\(639\) | −12.0220 | + | 10.8904i | −0.475581 | + | 0.430819i | ||||
\(640\) | 28.1332 | − | 3.74327i | 1.11206 | − | 0.147966i | ||||
\(641\) | 14.9095 | + | 2.62895i | 0.588891 | + | 0.103837i | 0.460150 | − | 0.887841i | \(-0.347796\pi\) |
0.128740 | + | 0.991678i | \(0.458907\pi\) | |||||||
\(642\) | −0.452731 | − | 7.20063i | −0.0178679 | − | 0.284186i | ||||
\(643\) | −6.97052 | − | 2.53706i | −0.274890 | − | 0.100052i | 0.200897 | − | 0.979612i | \(-0.435614\pi\) |
−0.475787 | + | 0.879561i | \(0.657837\pi\) | |||||||
\(644\) | 12.1681 | + | 1.05974i | 0.479489 | + | 0.0417595i | ||||
\(645\) | 31.3170 | − | 38.7927i | 1.23311 | − | 1.52746i | ||||
\(646\) | 2.80772 | − | 2.57382i | 0.110468 | − | 0.101266i | ||||
\(647\) | 6.00521 | 0.236089 | 0.118045 | − | 0.993008i | \(-0.462337\pi\) | ||||
0.118045 | + | 0.993008i | \(0.462337\pi\) | |||||||
\(648\) | −11.9981 | + | 22.4510i | −0.471329 | + | 0.881957i | ||||
\(649\) | 19.8258 | 0.778231 | ||||||||
\(650\) | −5.62725 | + | 5.15846i | −0.220719 | + | 0.202332i | ||||
\(651\) | 2.88120 | − | 3.56898i | 0.112923 | − | 0.139879i | ||||
\(652\) | −0.915472 | + | 10.5116i | −0.0358526 | + | 0.411665i | ||||
\(653\) | 37.1742 | + | 13.5303i | 1.45474 | + | 0.529482i | 0.943911 | − | 0.330201i | \(-0.107116\pi\) |
0.510829 | + | 0.859683i | \(0.329339\pi\) | |||||||
\(654\) | −3.07095 | − | 48.8430i | −0.120083 | − | 1.90991i | ||||
\(655\) | −42.8527 | − | 7.55608i | −1.67439 | − | 0.295241i | ||||
\(656\) | 14.6384 | + | 25.3083i | 0.571532 | + | 0.988124i | ||||
\(657\) | −26.1646 | − | 8.41425i | −1.02078 | − | 0.328271i | ||||
\(658\) | 8.96804 | − | 3.71675i | 0.349610 | − | 0.144894i | ||||
\(659\) | −6.31505 | − | 17.3504i | −0.245999 | − | 0.675877i | −0.999823 | − | 0.0188010i | \(-0.994015\pi\) |
0.753824 | − | 0.657076i | \(-0.228207\pi\) | |||||||
\(660\) | 19.5918 | − | 20.3652i | 0.762609 | − | 0.792716i | ||||
\(661\) | −12.6354 | − | 15.0583i | −0.491460 | − | 0.585699i | 0.462128 | − | 0.886813i | \(-0.347086\pi\) |
−0.953588 | + | 0.301114i | \(0.902642\pi\) | |||||||
\(662\) | 5.20631 | − | 3.31822i | 0.202349 | − | 0.128966i | ||||
\(663\) | −3.09935 | + | 1.86864i | −0.120369 | + | 0.0725720i | ||||
\(664\) | −1.68374 | + | 39.0939i | −0.0653418 | + | 1.51714i | ||||
\(665\) | −24.8152 | + | 14.3270i | −0.962291 | + | 0.555579i | ||||
\(666\) | 3.88573 | − | 41.7606i | 0.150569 | − | 1.61819i | ||||
\(667\) | 0.553902 | − | 0.959387i | 0.0214472 | − | 0.0371476i | ||||
\(668\) | −3.29725 | + | 7.07825i | −0.127574 | + | 0.273866i | ||||
\(669\) | 18.4237 | − | 16.0643i | 0.712303 | − | 0.621083i | ||||
\(670\) | −38.6150 | − | 20.0920i | −1.49183 | − | 0.776222i | ||||
\(671\) | 2.63655 | + | 14.9526i | 0.101783 | + | 0.577239i | ||||
\(672\) | −19.9544 | − | 5.85670i | −0.769757 | − | 0.225927i | ||||
\(673\) | −37.6088 | − | 31.5575i | −1.44971 | − | 1.21645i | −0.932790 | − | 0.360420i | \(-0.882633\pi\) |
−0.516921 | − | 0.856033i | \(-0.672922\pi\) | |||||||
\(674\) | 27.8473 | + | 3.66059i | 1.07264 | + | 0.141000i | ||||
\(675\) | 2.65290 | + | 6.17207i | 0.102110 | + | 0.237563i | ||||
\(676\) | −8.56177 | − | 2.29051i | −0.329299 | − | 0.0880964i | ||||
\(677\) | −11.6959 | − | 9.81403i | −0.449510 | − | 0.377184i | 0.389744 | − | 0.920923i | \(-0.372564\pi\) |
−0.839254 | + | 0.543739i | \(0.817008\pi\) | |||||||
\(678\) | −3.21381 | + | 10.9179i | −0.123426 | + | 0.419301i | ||||
\(679\) | −1.07078 | + | 0.188807i | −0.0410927 | + | 0.00724576i | ||||
\(680\) | 2.39742 | − | 2.61943i | 0.0919370 | − | 0.100451i | ||||
\(681\) | −6.95221 | − | 2.38212i | −0.266409 | − | 0.0912830i | ||||
\(682\) | 1.72439 | − | 5.47281i | 0.0660301 | − | 0.209565i | ||||
\(683\) | 3.01291 | + | 1.73950i | 0.115286 | + | 0.0665602i | 0.556534 | − | 0.830825i | \(-0.312131\pi\) |
−0.441248 | + | 0.897385i | \(0.645464\pi\) | |||||||
\(684\) | 12.5152 | − | 29.7658i | 0.478533 | − | 1.13812i | ||||
\(685\) | −5.12916 | + | 2.96132i | −0.195975 | + | 0.113146i | ||||
\(686\) | 6.17418 | + | 27.8240i | 0.235731 | + | 1.06233i | ||||
\(687\) | −7.77558 | + | 0.147450i | −0.296657 | + | 0.00562559i | ||||
\(688\) | −45.1943 | + | 8.00568i | −1.72302 | + | 0.305214i | ||||
\(689\) | −32.1257 | − | 38.2859i | −1.22389 | − | 1.45858i | ||||
\(690\) | −1.97150 | + | 17.5699i | −0.0750539 | + | 0.668875i | ||||
\(691\) | 29.8872 | − | 10.8781i | 1.13696 | − | 0.413821i | 0.296148 | − | 0.955142i | \(-0.404298\pi\) |
0.840816 | + | 0.541321i | \(0.182076\pi\) | |||||||
\(692\) | 0.648409 | + | 2.41609i | 0.0246488 | + | 0.0918460i | ||||
\(693\) | −19.1755 | + | 7.81473i | −0.728416 | + | 0.296857i | ||||
\(694\) | −15.2259 | − | 11.6784i | −0.577966 | − | 0.443308i | ||||
\(695\) | −1.38951 | + | 7.88029i | −0.0527071 | + | 0.298917i | ||||
\(696\) | −1.24685 | + | 1.41528i | −0.0472619 | + | 0.0536462i | ||||
\(697\) | 3.43738 | + | 1.25110i | 0.130200 | + | 0.0473890i | ||||
\(698\) | 45.2256 | − | 1.98352i | 1.71182 | − | 0.0750772i | ||||
\(699\) | −4.04953 | + | 25.8196i | −0.153167 | + | 0.976588i | ||||
\(700\) | −4.49452 | + | 3.14974i | −0.169877 | + | 0.119049i | ||||
\(701\) | −36.8471 | −1.39170 | −0.695848 | − | 0.718189i | \(-0.744971\pi\) | ||||
−0.695848 | + | 0.718189i | \(0.744971\pi\) | |||||||
\(702\) | −17.2581 | + | 25.3664i | −0.651366 | + | 0.957393i | ||||
\(703\) | 53.2007i | 2.00650i | ||||||||
\(704\) | −25.9139 | + | 2.29803i | −0.976667 | + | 0.0866101i | ||||
\(705\) | 5.05560 | + | 13.1112i | 0.190405 | + | 0.493795i | ||||
\(706\) | 5.89408 | − | 0.258504i | 0.221827 | − | 0.00972893i | ||||
\(707\) | −9.54944 | + | 26.2369i | −0.359144 | + | 0.986739i | ||||
\(708\) | 18.9642 | − | 9.29413i | 0.712717 | − | 0.349295i | ||||
\(709\) | 30.3426 | + | 5.35021i | 1.13954 | + | 0.200932i | 0.711404 | − | 0.702783i | \(-0.248060\pi\) |
0.428135 | + | 0.903715i | \(0.359171\pi\) | |||||||
\(710\) | 11.6745 | − | 15.2207i | 0.438137 | − | 0.571224i | ||||
\(711\) | −37.9025 | − | 20.0068i | −1.42146 | − | 0.750312i | ||||
\(712\) | −41.7830 | + | 5.52595i | −1.56588 | + | 0.207094i | ||||
\(713\) | 1.22784 | + | 3.37347i | 0.0459830 | + | 0.126337i | ||||
\(714\) | −2.38434 | + | 1.04158i | −0.0892318 | + | 0.0389801i | ||||
\(715\) | 26.0909 | − | 21.8929i | 0.975745 | − | 0.818747i | ||||
\(716\) | 11.3521 | + | 24.3196i | 0.424248 | + | 0.908868i | ||||
\(717\) | −19.2535 | − | 10.6345i | −0.719035 | − | 0.397151i | ||||
\(718\) | −14.7010 | + | 3.26216i | −0.548635 | + | 0.121743i | ||||
\(719\) | 17.6740 | + | 30.6122i | 0.659128 | + | 1.14164i | 0.980842 | + | 0.194807i | \(0.0624080\pi\) |
−0.321713 | + | 0.946837i | \(0.604259\pi\) | |||||||
\(720\) | 9.19332 | − | 28.6646i | 0.342615 | − | 1.06827i | ||||
\(721\) | −12.2274 | + | 21.1785i | −0.455373 | + | 0.788730i | ||||
\(722\) | −4.23385 | + | 13.4373i | −0.157568 | + | 0.500084i | ||||
\(723\) | −16.7534 | + | 3.28275i | −0.623066 | + | 0.122087i | ||||
\(724\) | 3.65295 | − | 5.22133i | 0.135761 | − | 0.194049i | ||||
\(725\) | 0.0864391 | + | 0.490220i | 0.00321027 | + | 0.0182063i | ||||
\(726\) | 0.753604 | − | 0.717589i | 0.0279689 | − | 0.0266322i | ||||
\(727\) | −15.6576 | + | 18.6601i | −0.580710 | + | 0.692063i | −0.973792 | − | 0.227440i | \(-0.926964\pi\) |
0.393082 | + | 0.919503i | \(0.371409\pi\) | |||||||
\(728\) | −23.1622 | − | 9.57806i | −0.858447 | − | 0.354987i | ||||
\(729\) | 16.0672 | + | 21.6990i | 0.595080 | + | 0.803667i | ||||
\(730\) | 32.2243 | + | 4.23595i | 1.19267 | + | 0.156780i | ||||
\(731\) | −3.69123 | + | 4.39904i | −0.136525 | + | 0.162704i | ||||
\(732\) | 9.53159 | + | 13.0668i | 0.352298 | + | 0.482962i | ||||
\(733\) | 15.9357 | − | 2.80990i | 0.588600 | − | 0.103786i | 0.128587 | − | 0.991698i | \(-0.458956\pi\) |
0.460013 | + | 0.887912i | \(0.347845\pi\) | |||||||
\(734\) | 2.23975 | − | 4.30458i | 0.0826706 | − | 0.158885i | ||||
\(735\) | −10.6385 | + | 2.08456i | −0.392406 | + | 0.0768901i | ||||
\(736\) | 11.9895 | − | 11.0080i | 0.441937 | − | 0.405762i | ||||
\(737\) | 34.5554 | + | 19.9506i | 1.27287 | + | 0.734890i | ||||
\(738\) | 30.9068 | − | 2.53234i | 1.13769 | − | 0.0932167i | ||||
\(739\) | −4.57312 | − | 7.92087i | −0.168225 | − | 0.291374i | 0.769571 | − | 0.638561i | \(-0.220470\pi\) |
−0.937796 | + | 0.347187i | \(0.887137\pi\) | |||||||
\(740\) | 4.34214 | + | 49.4068i | 0.159620 | + | 1.81623i | ||||
\(741\) | 18.8161 | − | 34.0662i | 0.691227 | − | 1.25145i | ||||
\(742\) | −19.3121 | − | 30.3008i | −0.708971 | − | 1.11238i | ||||
\(743\) | −11.2333 | + | 9.42584i | −0.412109 | + | 0.345800i | −0.825152 | − | 0.564911i | \(-0.808910\pi\) |
0.413043 | + | 0.910712i | \(0.364466\pi\) | |||||||
\(744\) | −0.916152 | − | 6.04334i | −0.0335877 | − | 0.221559i | ||||
\(745\) | −47.5192 | + | 17.2956i | −1.74097 | + | 0.633661i | ||||
\(746\) | −18.2727 | + | 7.57301i | −0.669011 | + | 0.277268i | ||||
\(747\) | 36.7043 | + | 19.3743i | 1.34294 | + | 0.708868i | ||||
\(748\) | −2.30070 | + | 2.30251i | −0.0841218 | + | 0.0841880i | ||||
\(749\) | 1.08560 | − | 6.15672i | 0.0396668 | − | 0.224962i | ||||
\(750\) | 12.6050 | + | 18.9737i | 0.460269 | + | 0.692821i | ||||
\(751\) | 1.10642 | − | 3.03986i | 0.0403737 | − | 0.110926i | −0.917868 | − | 0.396887i | \(-0.870091\pi\) |
0.958241 | + | 0.285961i | \(0.0923128\pi\) | |||||||
\(752\) | 4.41496 | − | 12.1598i | 0.160997 | − | 0.443422i | ||||
\(753\) | 21.7622 | − | 8.39137i | 0.793057 | − | 0.305799i | ||||
\(754\) | −1.67576 | + | 1.53616i | −0.0610275 | + | 0.0559436i | ||||
\(755\) | − | 2.13024i | − | 0.0775273i | ||||||
\(756\) | −14.6786 | + | 16.4644i | −0.533857 | + | 0.598803i | ||||
\(757\) | − | 20.3830i | − | 0.740831i | −0.928866 | − | 0.370415i | \(-0.879215\pi\) | ||
0.928866 | − | 0.370415i | \(-0.120785\pi\) | |||||||
\(758\) | 3.19303 | + | 3.48320i | 0.115976 | + | 0.126516i | ||||
\(759\) | 2.51112 | − | 16.0108i | 0.0911480 | − | 0.581155i | ||||
\(760\) | −8.24258 | + | 37.2841i | −0.298990 | + | 1.35244i | ||||
\(761\) | 8.81961 | − | 24.2317i | 0.319711 | − | 0.878398i | −0.670883 | − | 0.741563i | \(-0.734085\pi\) |
0.990594 | − | 0.136835i | \(-0.0436930\pi\) | |||||||
\(762\) | 37.7396 | + | 18.7360i | 1.36716 | + | 0.678735i | ||||
\(763\) | 7.36377 | − | 41.7620i | 0.266586 | − | 1.51189i | ||||
\(764\) | 4.32269 | − | 4.32610i | 0.156389 | − | 0.156513i | ||||
\(765\) | −1.42141 | − | 3.48781i | −0.0513913 | − | 0.126102i | ||||
\(766\) | −6.83649 | − | 16.4956i | −0.247012 | − | 0.596009i | ||||
\(767\) | 23.9188 | − | 8.70573i | 0.863657 | − | 0.314346i | ||||
\(768\) | −23.7104 | + | 14.3463i | −0.855575 | + | 0.517678i | ||||
\(769\) | 4.58553 | − | 3.84772i | 0.165359 | − | 0.138752i | −0.556353 | − | 0.830946i | \(-0.687800\pi\) |
0.721712 | + | 0.692193i | \(0.243355\pi\) | |||||||
\(770\) | 20.6493 | − | 13.1608i | 0.744149 | − | 0.474281i | ||||
\(771\) | −25.7672 | + | 0.488630i | −0.927983 | + | 0.0175976i | ||||
\(772\) | −16.6635 | + | 1.46448i | −0.599734 | + | 0.0527079i | ||||
\(773\) | 21.7483 | + | 37.6692i | 0.782233 | + | 1.35487i | 0.930638 | + | 0.365941i | \(0.119253\pi\) |
−0.148405 | + | 0.988927i | \(0.547414\pi\) | |||||||
\(774\) | −12.8589 | + | 46.9530i | −0.462205 | + | 1.68769i | ||||
\(775\) | −1.39701 | − | 0.806561i | −0.0501819 | − | 0.0289725i | ||||
\(776\) | −0.777787 | + | 1.22247i | −0.0279209 | + | 0.0438842i | ||||
\(777\) | 11.7800 | − | 34.3799i | 0.422605 | − | 1.23337i | ||||
\(778\) | 45.2494 | + | 23.5440i | 1.62227 | + | 0.844095i | ||||
\(779\) | −38.7380 | + | 6.83055i | −1.38793 | + | 0.244730i | ||||
\(780\) | 14.6939 | − | 33.1726i | 0.526125 | − | 1.18777i | ||||
\(781\) | −11.3025 | + | 13.4698i | −0.404435 | + | 0.481987i | ||||
\(782\) | 0.265411 | − | 2.01907i | 0.00949109 | − | 0.0722019i | ||||
\(783\) | 0.790017 | + | 1.83800i | 0.0282329 | + | 0.0656849i | ||||
\(784\) | 8.64694 | + | 4.98323i | 0.308819 | + | 0.177973i | ||||
\(785\) | −12.0448 | + | 14.3544i | −0.429897 | + | 0.512332i | ||||
\(786\) | 41.2981 | − | 9.98928i | 1.47305 | − | 0.356306i | ||||
\(787\) | 8.60165 | + | 48.7824i | 0.306616 | + | 1.73890i | 0.615801 | + | 0.787902i | \(0.288833\pi\) |
−0.309185 | + | 0.951002i | \(0.600056\pi\) | |||||||
\(788\) | 10.5661 | + | 7.39229i | 0.376403 | + | 0.263340i | ||||
\(789\) | 25.2593 | + | 28.9691i | 0.899253 | + | 1.03133i | ||||
\(790\) | 48.3398 | + | 15.2310i | 1.71985 | + | 0.541895i | ||||
\(791\) | −4.93090 | + | 8.54057i | −0.175323 | + | 0.303668i | ||||
\(792\) | −9.57025 | + | 25.8809i | −0.340064 | + | 0.919639i | ||||
\(793\) | 9.74671 | + | 16.8818i | 0.346116 | + | 0.599490i | ||||
\(794\) | 5.62772 | + | 25.3614i | 0.199720 | + | 0.900041i | ||||
\(795\) | 44.5426 | − | 26.8554i | 1.57976 | − | 0.952462i | ||||
\(796\) | 6.20311 | + | 13.2890i | 0.219863 | + | 0.471014i | ||||
\(797\) | 17.6198 | − | 14.7848i | 0.624127 | − | 0.523705i | −0.274971 | − | 0.961453i | \(-0.588668\pi\) |
0.899098 | + | 0.437748i | \(0.144224\pi\) | |||||||
\(798\) | 16.6044 | − | 22.5197i | 0.587788 | − | 0.797189i | ||||
\(799\) | −0.553578 | − | 1.52094i | −0.0195842 | − | 0.0538071i | ||||
\(800\) | −0.947490 | + | 7.25207i | −0.0334988 | + | 0.256399i | ||||
\(801\) | −13.6859 | + | 42.5570i | −0.483566 | + | 1.50368i | ||||
\(802\) | −7.42417 | − | 5.69444i | −0.262156 | − | 0.201078i | ||||
\(803\) | −29.3399 | − | 5.17341i | −1.03538 | − | 0.182566i | ||||
\(804\) | 42.4063 | + | 2.88432i | 1.49555 | + | 0.101722i | ||||
\(805\) | −5.23973 | + | 14.3960i | −0.184676 | + | 0.507394i | ||||
\(806\) | −0.322790 | − | 7.35986i | −0.0113698 | − | 0.259240i | ||||
\(807\) | −7.56168 | + | 9.36674i | −0.266184 | + | 0.329725i | ||||
\(808\) | 17.1998 | + | 32.9929i | 0.605086 | + | 1.16069i | ||||
\(809\) | 37.2955i | 1.31124i | 0.755090 | + | 0.655621i | \(0.227593\pi\) | ||||
−0.755090 | + | 0.655621i | \(0.772407\pi\) | |||||||
\(810\) | −23.2968 | − | 21.8337i | −0.818565 | − | 0.767157i | ||||
\(811\) | 34.1131 | 1.19787 | 0.598937 | − | 0.800796i | \(-0.295590\pi\) | ||||
0.598937 | + | 0.800796i | \(0.295590\pi\) | |||||||
\(812\) | −1.33844 | + | 0.937971i | −0.0469700 | + | 0.0329163i | ||||
\(813\) | −24.7781 | − | 20.0031i | −0.869005 | − | 0.701539i | ||||
\(814\) | −1.99202 | − | 45.4196i | −0.0698204 | − | 1.59196i | ||||
\(815\) | −12.4362 | − | 4.52642i | −0.435623 | − | 0.158554i | ||||
\(816\) | −1.12132 | + | 3.28098i | −0.0392539 | + | 0.114857i | ||||
\(817\) | 10.7230 | − | 60.8133i | 0.375151 | − | 2.12759i | ||||
\(818\) | 2.62063 | − | 3.41667i | 0.0916283 | − | 0.119461i | ||||
\(819\) | −19.7027 | + | 17.8482i | −0.688467 | + | 0.623667i | ||||
\(820\) | −35.4180 | + | 9.50517i | −1.23685 | + | 0.331935i | ||||
\(821\) | 4.63164 | − | 1.68578i | 0.161645 | − | 0.0588340i | −0.259930 | − | 0.965627i | \(-0.583700\pi\) |
0.421575 | + | 0.906793i | \(0.361477\pi\) | |||||||
\(822\) | 3.43203 | − | 4.65470i | 0.119706 | − | 0.162351i | ||||
\(823\) | −15.0760 | − | 17.9669i | −0.525518 | − | 0.626287i | 0.436359 | − | 0.899773i | \(-0.356268\pi\) |
−0.961876 | + | 0.273485i | \(0.911823\pi\) | |||||||
\(824\) | 9.81790 | + | 31.0744i | 0.342023 | + | 1.08253i | ||||
\(825\) | 3.76005 | + | 6.23646i | 0.130908 | + | 0.217126i | ||||
\(826\) | 17.8653 | − | 3.96434i | 0.621614 | − | 0.137937i | ||||
\(827\) | −12.0532 | + | 6.95894i | −0.419132 | + | 0.241986i | −0.694706 | − | 0.719294i | \(-0.744466\pi\) |
0.275574 | + | 0.961280i | \(0.411132\pi\) | |||||||
\(828\) | −5.10371 | − | 16.4922i | −0.177366 | − | 0.573143i | ||||
\(829\) | 44.9965 | + | 25.9788i | 1.56279 | + | 0.902279i | 0.996973 | + | 0.0777511i | \(0.0247739\pi\) |
0.565821 | + | 0.824528i | \(0.308559\pi\) | |||||||
\(830\) | −46.8116 | − | 14.7495i | −1.62485 | − | 0.511963i | ||||
\(831\) | 15.6721 | − | 13.6651i | 0.543659 | − | 0.474036i | ||||
\(832\) | −30.2547 | + | 14.1515i | −1.04889 | + | 0.490616i | ||||
\(833\) | 1.22969 | − | 0.216828i | 0.0426064 | − | 0.00751265i | ||||
\(834\) | −1.83696 | − | 7.59442i | −0.0636086 | − | 0.262973i | ||||
\(835\) | −7.50273 | − | 6.29554i | −0.259643 | − | 0.217866i | ||||
\(836\) | 9.04578 | − | 33.8126i | 0.312855 | − | 1.16943i | ||||
\(837\) | −6.20839 | − | 1.86743i | −0.214593 | − | 0.0645479i | ||||
\(838\) | −4.92877 | + | 37.4948i | −0.170261 | + | 1.29524i | ||||
\(839\) | −0.572631 | − | 0.480495i | −0.0197694 | − | 0.0165885i | 0.632849 | − | 0.774275i | \(-0.281885\pi\) |
−0.652619 | + | 0.757686i | \(0.726330\pi\) | |||||||
\(840\) | 13.5822 | − | 22.2690i | 0.468632 | − | 0.768352i | ||||
\(841\) | −5.01006 | − | 28.4134i | −0.172761 | − | 0.979774i | ||||
\(842\) | 19.9086 | − | 38.2624i | 0.686095 | − | 1.31861i | ||||
\(843\) | −18.9611 | − | 6.49688i | −0.653056 | − | 0.223764i | ||||
\(844\) | −2.77493 | + | 5.95698i | −0.0955171 | + | 0.205048i | ||||
\(845\) | 5.55826 | − | 9.62719i | 0.191210 | − | 0.331186i | ||||
\(846\) | −9.64871 | − | 9.75571i | −0.331729 | − | 0.335408i | ||||
\(847\) | 0.780883 | − | 0.450843i | 0.0268315 | − | 0.0154912i | ||||
\(848\) | −47.1618 | − | 8.27759i | −1.61954 | − | 0.284254i | ||||
\(849\) | 0.113098 | + | 5.96403i | 0.00388150 | + | 0.204685i | ||||
\(850\) | 0.491812 | + | 0.771655i | 0.0168690 | + | 0.0264676i | ||||
\(851\) | 18.2833 | + | 21.7892i | 0.626744 | + | 0.746925i | ||||
\(852\) | −4.49679 | + | 18.1829i | −0.154058 | + | 0.622935i | ||||
\(853\) | −10.5662 | − | 29.0305i | −0.361781 | − | 0.993986i | −0.978399 | − | 0.206723i | \(-0.933720\pi\) |
0.616618 | − | 0.787262i | \(-0.288502\pi\) | |||||||
\(854\) | 5.36573 | + | 12.9468i | 0.183612 | + | 0.443031i | ||||
\(855\) | 31.9899 | + | 24.8383i | 1.09403 | + | 0.849452i | ||||
\(856\) | −5.07549 | − | 6.60642i | −0.173477 | − | 0.225803i | ||||
\(857\) | 39.9870 | + | 7.05078i | 1.36593 | + | 0.240850i | 0.808070 | − | 0.589086i | \(-0.200512\pi\) |
0.557859 | + | 0.829936i | \(0.311623\pi\) | |||||||
\(858\) | −14.7885 | + | 29.7883i | −0.504873 | + | 1.01696i | ||||
\(859\) | 32.4767 | + | 11.8206i | 1.10809 | + | 0.403312i | 0.830293 | − | 0.557327i | \(-0.188173\pi\) |
0.277798 | + | 0.960639i | \(0.410395\pi\) | |||||||
\(860\) | 4.99487 | − | 57.3518i | 0.170324 | − | 1.95568i | ||||
\(861\) | 26.5461 | + | 4.16347i | 0.904689 | + | 0.141891i | ||||
\(862\) | −9.36683 | − | 10.2181i | −0.319035 | − | 0.348028i | ||||
\(863\) | −42.3075 | −1.44017 | −0.720083 | − | 0.693888i | \(-0.755896\pi\) | ||||
−0.720083 | + | 0.693888i | \(0.755896\pi\) | |||||||
\(864\) | 2.97838 | + | 29.2426i | 0.101327 | + | 0.994853i | ||||
\(865\) | −3.13769 | −0.106685 | ||||||||
\(866\) | 16.2894 | + | 17.7698i | 0.553538 | + | 0.603842i | ||||
\(867\) | −10.4375 | − | 27.0684i | −0.354475 | − | 0.919293i | ||||
\(868\) | 0.459534 | − | 5.27644i | 0.0155976 | − | 0.179094i | ||||
\(869\) | −43.6564 | − | 15.8896i | −1.48094 | − | 0.539018i | ||||
\(870\) | −1.30913 | − | 1.97058i | −0.0443838 | − | 0.0668089i | ||||
\(871\) | 50.4499 | + | 8.89567i | 1.70943 | + | 0.301418i | ||||
\(872\) | −34.4279 | − | 44.8124i | −1.16587 | − | 1.51754i | ||||
\(873\) | 0.818317 | + | 1.30084i | 0.0276958 | + | 0.0440266i | ||||
\(874\) | 8.38420 | + | 20.2300i | 0.283600 | + | 0.684289i | ||||
\(875\) | 6.75085 | + | 18.5478i | 0.228220 | + | 0.627030i | ||||
\(876\) | −30.4900 | + | 8.80565i | −1.03016 | + | 0.297515i | ||||
\(877\) | −9.16086 | − | 10.9175i | −0.309340 | − | 0.368657i | 0.588867 | − | 0.808230i | \(-0.299574\pi\) |
−0.898207 | + | 0.439573i | \(0.855130\pi\) | |||||||
\(878\) | −0.862470 | − | 1.35322i | −0.0291069 | − | 0.0456689i | ||||
\(879\) | 41.0566 | + | 22.6772i | 1.38480 | + | 0.764883i | ||||
\(880\) | 5.64098 | − | 32.1396i | 0.190157 | − | 1.08343i | ||||
\(881\) | 16.6372 | − | 9.60547i | 0.560520 | − | 0.323616i | −0.192834 | − | 0.981231i | \(-0.561768\pi\) |
0.753354 | + | 0.657615i | \(0.228435\pi\) | |||||||
\(882\) | 8.70447 | − | 6.02367i | 0.293095 | − | 0.202828i | ||||
\(883\) | −7.04315 | + | 12.1991i | −0.237021 | + | 0.410532i | −0.959858 | − | 0.280486i | \(-0.909504\pi\) |
0.722837 | + | 0.691018i | \(0.242838\pi\) | |||||||
\(884\) | −1.76461 | + | 3.78812i | −0.0593503 | + | 0.127408i | ||||
\(885\) | 5.09362 | + | 25.9951i | 0.171220 | + | 0.873816i | ||||
\(886\) | −8.32215 | + | 15.9944i | −0.279588 | + | 0.537342i | ||||
\(887\) | −6.56011 | − | 37.2043i | −0.220267 | − | 1.24920i | −0.871529 | − | 0.490344i | \(-0.836871\pi\) |
0.651262 | − | 0.758853i | \(-0.274240\pi\) | |||||||
\(888\) | −23.1977 | − | 42.5119i | −0.778464 | − | 1.42660i | ||||
\(889\) | 27.9681 | + | 23.4680i | 0.938020 | + | 0.787092i | ||||
\(890\) | 6.88982 | − | 52.4131i | 0.230947 | − | 1.75689i | ||||
\(891\) | 20.4575 | + | 20.9303i | 0.685354 | + | 0.701192i | ||||
\(892\) | 7.29449 | − | 27.2663i | 0.244237 | − | 0.912945i | ||||
\(893\) | 13.3329 | + | 11.1876i | 0.446169 | + | 0.374380i | ||||
\(894\) | 35.7596 | − | 34.0506i | 1.19598 | − | 1.13882i | ||||
\(895\) | −33.1519 | + | 5.84557i | −1.10814 | + | 0.195396i | ||||
\(896\) | −22.8919 | + | 7.25249i | −0.764764 | + | 0.242289i | ||||
\(897\) | −4.00098 | − | 20.4189i | −0.133589 | − | 0.681766i | ||||
\(898\) | 14.8037 | + | 4.66440i | 0.494007 | + | 0.155653i | ||||
\(899\) | −0.416019 | − | 0.240189i | −0.0138750 | − | 0.00801074i | ||||
\(900\) | 6.52023 | + | 4.20275i | 0.217341 | + | 0.140092i | ||||
\(901\) | −5.18824 | + | 2.99543i | −0.172845 | + | 0.0997924i | ||||
\(902\) | 32.8165 | − | 7.28202i | 1.09267 | − | 0.242465i | ||||
\(903\) | −20.3952 | + | 36.9250i | −0.678709 | + | 1.22879i | ||||
\(904\) | 3.95922 | + | 12.5312i | 0.131682 | + | 0.416782i | ||||
\(905\) | 5.13759 | + | 6.12274i | 0.170779 | + | 0.203527i | ||||
\(906\) | 0.832677 | + | 1.90613i | 0.0276639 | + | 0.0633271i | ||||
\(907\) | −35.9262 | + | 13.0761i | −1.19291 | + | 0.434184i | −0.860745 | − | 0.509037i | \(-0.830002\pi\) |
−0.332166 | + | 0.943221i | \(0.607779\pi\) | |||||||
\(908\) | −8.19587 | + | 2.19954i | −0.271990 | + | 0.0729942i | ||||
\(909\) | 39.4356 | − | 1.49619i | 1.30800 | − | 0.0496257i | ||||
\(910\) | 19.1332 | − | 24.9451i | 0.634261 | − | 0.826922i | ||||
\(911\) | −8.92255 | + | 50.6023i | −0.295617 | + | 1.67653i | 0.369065 | + | 0.929404i | \(0.379678\pi\) |
−0.664682 | + | 0.747126i | \(0.731433\pi\) | |||||||
\(912\) | −7.19833 | − | 36.5837i | −0.238360 | − | 1.21141i | ||||
\(913\) | 42.2763 | + | 15.3873i | 1.39914 | + | 0.509245i | ||||
\(914\) | 0.0844324 | + | 1.92512i | 0.00279277 | + | 0.0636773i | ||||
\(915\) | −18.9281 | + | 7.29858i | −0.625744 | + | 0.241284i | ||||
\(916\) | −7.35403 | + | 5.15366i | −0.242984 | + | 0.170282i | ||||
\(917\) | 36.8169 | 1.21580 | ||||||||
\(918\) | 2.63521 | + | 2.56528i | 0.0869749 | + | 0.0846668i | ||||
\(919\) | 7.02685i | 0.231794i | 0.993261 | + | 0.115897i | \(0.0369743\pi\) | ||||
−0.993261 | + | 0.115897i | \(0.963026\pi\) | |||||||
\(920\) | 9.43743 | + | 18.1030i | 0.311143 | + | 0.596839i | ||||
\(921\) | −12.1669 | − | 1.90824i | −0.400912 | − | 0.0628787i | ||||
\(922\) | 0.983430 | + | 22.4229i | 0.0323875 | + | 0.738460i | ||||
\(923\) | −7.72113 | + | 21.2136i | −0.254144 | + | 0.698256i | ||||
\(924\) | −13.3326 | + | 19.8477i | −0.438611 | + | 0.652942i | ||||
\(925\) | −12.5868 | − | 2.21939i | −0.413852 | − | 0.0729732i | ||||
\(926\) | −3.49042 | − | 2.67720i | −0.114702 | − | 0.0879783i | ||||
\(927\) | 34.2432 | + | 4.70732i | 1.12470 | + | 0.154609i | ||||
\(928\) | −0.282156 | + | 2.15962i | −0.00926224 | + | 0.0708930i | ||||
\(929\) | −19.0465 | − | 52.3299i | −0.624896 | − | 1.71689i | −0.694674 | − | 0.719325i | \(-0.744451\pi\) |
0.0697781 | − | 0.997563i | \(-0.477771\pi\) | |||||||
\(930\) | 7.61884 | + | 0.854904i | 0.249832 | + | 0.0280334i | ||||
\(931\) | −10.2859 | + | 8.63091i | −0.337107 | + | 0.282867i | ||||
\(932\) | 12.7647 | + | 27.3459i | 0.418122 | + | 0.895744i | ||||
\(933\) | 0.167199 | + | 8.81698i | 0.00547384 | + | 0.288655i | ||||
\(934\) | −9.23922 | − | 41.6366i | −0.302317 | − | 1.36239i | ||||
\(935\) | −2.04132 | − | 3.53566i | −0.0667582 | − | 0.115629i | ||||
\(936\) | −0.181403 | + | 35.4264i | −0.00592934 | + | 1.15795i | ||||
\(937\) | −24.5562 | + | 42.5326i | −0.802216 | + | 1.38948i | 0.115939 | + | 0.993256i | \(0.463012\pi\) |
−0.918155 | + | 0.396222i | \(0.870321\pi\) | |||||||
\(938\) | 35.1277 | + | 11.0681i | 1.14696 | + | 0.361387i | ||||
\(939\) | −13.1955 | + | 38.5110i | −0.430618 | + | 1.25676i | ||||
\(940\) | 13.2952 | + | 9.30161i | 0.433642 | + | 0.303385i | ||||
\(941\) | −3.33638 | − | 18.9215i | −0.108763 | − | 0.616825i | −0.989650 | − | 0.143499i | \(-0.954165\pi\) |
0.880888 | − | 0.473326i | \(-0.156947\pi\) | |||||||
\(942\) | 5.16675 | − | 17.5525i | 0.168342 | − | 0.571890i | ||||
\(943\) | −13.5184 | + | 16.1105i | −0.440218 | + | 0.524631i | ||||
\(944\) | 12.1765 | − | 21.1288i | 0.396313 | − | 0.687684i | ||||
\(945\) | −15.1730 | − | 23.1346i | −0.493578 | − | 0.752570i | ||||
\(946\) | −6.87763 | + | 52.3204i | −0.223611 | + | 1.70108i | ||||
\(947\) | 33.6161 | − | 40.0620i | 1.09237 | − | 1.30184i | 0.142299 | − | 0.989824i | \(-0.454551\pi\) |
0.950076 | − | 0.312018i | \(-0.101005\pi\) | |||||||
\(948\) | −49.2080 | + | 5.26659i | −1.59820 | + | 0.171051i | ||||
\(949\) | −37.6687 | + | 6.64201i | −1.22278 | + | 0.215609i | ||||
\(950\) | −8.72902 | − | 4.54186i | −0.283207 | − | 0.147357i | ||||
\(951\) | 11.4442 | + | 13.1250i | 0.371104 | + | 0.425608i | ||||
\(952\) | −1.61278 | + | 2.53487i | −0.0522706 | + | 0.0821555i | ||||
\(953\) | −27.4810 | − | 15.8662i | −0.890198 | − | 0.513956i | −0.0161907 | − | 0.999869i | \(-0.505154\pi\) |
−0.874007 | + | 0.485913i | \(0.838487\pi\) | |||||||
\(954\) | −29.3593 | + | 41.4412i | −0.950543 | + | 1.34171i | ||||
\(955\) | 3.83535 | + | 6.64303i | 0.124109 | + | 0.214963i | ||||
\(956\) | −25.3003 | + | 2.22353i | −0.818272 | + | 0.0719142i | ||||
\(957\) | 1.11972 | + | 1.85718i | 0.0361954 | + | 0.0600340i | ||||
\(958\) | −32.3268 | + | 20.6034i | −1.04443 | + | 0.665666i | ||||
\(959\) | 3.83876 | − | 3.22110i | 0.123960 | − | 0.104015i | ||||
\(960\) | −9.67088 | − | 33.3873i | −0.312126 | − | 1.07757i | ||||
\(961\) | −27.6676 | + | 10.0702i | −0.892504 | + | 0.324845i | ||||
\(962\) | −22.3475 | − | 53.9217i | −0.720513 | − | 1.73851i | ||||
\(963\) | −8.63767 | + | 1.86323i | −0.278345 | + | 0.0600419i | ||||
\(964\) | −13.9337 | + | 13.9447i | −0.448775 | + | 0.449129i | ||||
\(965\) | 3.64337 | − | 20.6626i | 0.117284 | − | 0.665152i | ||||
\(966\) | −0.938686 | − | 14.9297i | −0.0302017 | − | 0.480355i | ||||
\(967\) | −0.0970671 | + | 0.266690i | −0.00312147 | + | 0.00857616i | −0.941244 | − | 0.337729i | \(-0.890341\pi\) |
0.938122 | + | 0.346305i | \(0.112564\pi\) | |||||||
\(968\) | 0.259377 | − | 1.17325i | 0.00833670 | − | 0.0377098i | ||||
\(969\) | −3.62977 | − | 2.93028i | −0.116605 | − | 0.0941341i | ||||
\(970\) | −1.22806 | − | 1.33966i | −0.0394306 | − | 0.0430139i | ||||
\(971\) | − | 37.7792i | − | 1.21239i | −0.795315 | − | 0.606196i | \(-0.792695\pi\) | ||
0.795315 | − | 0.606196i | \(-0.207305\pi\) | |||||||
\(972\) | 29.3804 | + | 10.4304i | 0.942376 | + | 0.334556i | ||||
\(973\) | − | 6.77037i | − | 0.217048i | ||||||
\(974\) | 12.9989 | − | 11.9160i | 0.416510 | − | 0.381812i | ||||
\(975\) | 7.27481 | + | 5.87288i | 0.232980 | + | 0.188083i | ||||
\(976\) | 17.5546 | + | 6.37371i | 0.561910 | + | 0.204018i | ||||
\(977\) | −6.98432 | + | 19.1893i | −0.223448 | + | 0.613919i | −0.999867 | − | 0.0162980i | \(-0.994812\pi\) |
0.776419 | + | 0.630217i | \(0.217034\pi\) | |||||||
\(978\) | 12.8973 | − | 0.810899i | 0.412409 | − | 0.0259297i | ||||
\(979\) | −8.41461 | + | 47.7216i | −0.268932 | + | 1.52519i | ||||
\(980\) | −8.84796 | + | 8.85494i | −0.282638 | + | 0.282861i | ||||
\(981\) | −58.5907 | + | 12.6386i | −1.87066 | + | 0.403520i | ||||
\(982\) | 30.3530 | − | 12.5796i | 0.968602 | − | 0.401431i | ||||
\(983\) | −32.8266 | + | 11.9479i | −1.04700 | + | 0.381079i | −0.807532 | − | 0.589824i | \(-0.799197\pi\) |
−0.239473 | + | 0.970903i | \(0.576975\pi\) | |||||||
\(984\) | 27.9765 | − | 22.3496i | 0.891860 | − | 0.712478i | ||||
\(985\) | −12.3903 | + | 10.3967i | −0.394787 | + | 0.331266i | ||||
\(986\) | 0.146459 | + | 0.229794i | 0.00466419 | + | 0.00731813i | ||||
\(987\) | −6.13890 | − | 10.1820i | −0.195403 | − | 0.324098i | ||||
\(988\) | −3.93421 | − | 44.7652i | −0.125164 | − | 1.42417i | ||||
\(989\) | −16.5078 | − | 28.5923i | −0.524916 | − | 0.909181i | ||||
\(990\) | −28.2412 | − | 20.0077i | −0.897564 | − | 0.635886i | ||||
\(991\) | −7.41357 | − | 4.28023i | −0.235500 | − | 0.135966i | 0.377607 | − | 0.925966i | \(-0.376747\pi\) |
−0.613107 | + | 0.790000i | \(0.710080\pi\) | |||||||
\(992\) | −4.77342 | − | 5.19899i | −0.151556 | − | 0.165068i | ||||
\(993\) | −4.96931 | − | 5.69916i | −0.157696 | − | 0.180857i | ||||
\(994\) | −7.49144 | + | 14.3979i | −0.237614 | + | 0.456672i | ||||
\(995\) | −18.1151 | + | 3.19419i | −0.574288 | + | 0.101263i | ||||
\(996\) | 47.6523 | − | 5.10009i | 1.50992 | − | 0.161603i | ||||
\(997\) | −7.41930 | + | 8.84198i | −0.234972 | + | 0.280028i | −0.870626 | − | 0.491946i | \(-0.836286\pi\) |
0.635654 | + | 0.771974i | \(0.280730\pi\) | |||||||
\(998\) | −5.44070 | − | 0.715192i | −0.172222 | − | 0.0226390i | ||||
\(999\) | −51.2839 | + | 2.92033i | −1.62255 | + | 0.0923952i |
(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 | 216.2.v.b.11.10 | ✓ | 192 | |
3.2 | odd | 2 | 648.2.v.b.35.23 | 192 | |||
4.3 | odd | 2 | 864.2.bh.b.335.23 | 192 | |||
8.3 | odd | 2 | inner | 216.2.v.b.11.28 | yes | 192 | |
8.5 | even | 2 | 864.2.bh.b.335.24 | 192 | |||
24.11 | even | 2 | 648.2.v.b.35.5 | 192 | |||
27.5 | odd | 18 | inner | 216.2.v.b.59.28 | yes | 192 | |
27.22 | even | 9 | 648.2.v.b.611.5 | 192 | |||
108.59 | even | 18 | 864.2.bh.b.815.24 | 192 | |||
216.5 | odd | 18 | 864.2.bh.b.815.23 | 192 | |||
216.59 | even | 18 | inner | 216.2.v.b.59.10 | yes | 192 | |
216.211 | odd | 18 | 648.2.v.b.611.23 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.v.b.11.10 | ✓ | 192 | 1.1 | even | 1 | trivial | |
216.2.v.b.11.28 | yes | 192 | 8.3 | odd | 2 | inner | |
216.2.v.b.59.10 | yes | 192 | 216.59 | even | 18 | inner | |
216.2.v.b.59.28 | yes | 192 | 27.5 | odd | 18 | inner | |
648.2.v.b.35.5 | 192 | 24.11 | even | 2 | |||
648.2.v.b.35.23 | 192 | 3.2 | odd | 2 | |||
648.2.v.b.611.5 | 192 | 27.22 | even | 9 | |||
648.2.v.b.611.23 | 192 | 216.211 | odd | 18 | |||
864.2.bh.b.335.23 | 192 | 4.3 | odd | 2 | |||
864.2.bh.b.335.24 | 192 | 8.5 | even | 2 | |||
864.2.bh.b.815.23 | 192 | 216.5 | odd | 18 | |||
864.2.bh.b.815.24 | 192 | 108.59 | even | 18 |