Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(11,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.r (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 11.19 | ||
Character | \(\chi\) | \(=\) | 950.11 |
Dual form | 950.2.r.b.691.19 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.104528 | − | 0.994522i | −0.0739128 | − | 0.703233i | ||||
\(3\) | 0.942721 | + | 1.04700i | 0.544280 | + | 0.604484i | 0.951046 | − | 0.309048i | \(-0.100010\pi\) |
−0.406766 | + | 0.913532i | \(0.633344\pi\) | |||||||
\(4\) | −0.978148 | + | 0.207912i | −0.489074 | + | 0.103956i | ||||
\(5\) | −0.192905 | − | 2.22773i | −0.0862696 | − | 0.996272i | ||||
\(6\) | 0.942721 | − | 1.04700i | 0.384864 | − | 0.427435i | ||||
\(7\) | −0.469500 | −0.177454 | −0.0887272 | − | 0.996056i | \(-0.528280\pi\) | ||||
−0.0887272 | + | 0.996056i | \(0.528280\pi\) | |||||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | 0.106104 | − | 1.00951i | 0.0353680 | − | 0.336504i | ||||
\(10\) | −2.19536 | + | 0.424709i | −0.694235 | + | 0.134305i | ||||
\(11\) | −2.43821 | + | 1.77146i | −0.735148 | + | 0.534117i | −0.891188 | − | 0.453634i | \(-0.850127\pi\) |
0.156039 | + | 0.987751i | \(0.450127\pi\) | |||||||
\(12\) | −1.13980 | − | 0.828116i | −0.329033 | − | 0.239056i | ||||
\(13\) | 0.275955 | − | 2.62554i | 0.0765363 | − | 0.728194i | −0.887209 | − | 0.461368i | \(-0.847359\pi\) |
0.963745 | − | 0.266825i | \(-0.0859747\pi\) | |||||||
\(14\) | 0.0490761 | + | 0.466928i | 0.0131161 | + | 0.124792i | ||||
\(15\) | 2.15057 | − | 2.30210i | 0.555276 | − | 0.594400i | ||||
\(16\) | 0.913545 | − | 0.406737i | 0.228386 | − | 0.101684i | ||||
\(17\) | 1.06644 | + | 0.226679i | 0.258650 | + | 0.0549777i | 0.335411 | − | 0.942072i | \(-0.391125\pi\) |
−0.0767616 | + | 0.997049i | \(0.524458\pi\) | |||||||
\(18\) | −1.01507 | −0.239255 | ||||||||
\(19\) | 1.40110 | − | 4.12758i | 0.321433 | − | 0.946932i | ||||
\(20\) | 0.651861 | + | 2.13894i | 0.145760 | + | 0.478282i | ||||
\(21\) | −0.442608 | − | 0.491566i | −0.0965849 | − | 0.107268i | ||||
\(22\) | 2.01662 | + | 2.23969i | 0.429945 | + | 0.477503i | ||||
\(23\) | −6.69911 | − | 2.98264i | −1.39686 | − | 0.621923i | −0.436252 | − | 0.899825i | \(-0.643694\pi\) |
−0.960609 | + | 0.277902i | \(0.910361\pi\) | |||||||
\(24\) | −0.704437 | + | 1.22012i | −0.143793 | + | 0.249056i | ||||
\(25\) | −4.92558 | + | 0.859480i | −0.985115 | + | 0.171896i | ||||
\(26\) | −2.64000 | −0.517747 | ||||||||
\(27\) | 4.57639 | − | 3.32494i | 0.880727 | − | 0.639886i | ||||
\(28\) | 0.459241 | − | 0.0976146i | 0.0867883 | − | 0.0184474i | ||||
\(29\) | −2.80886 | + | 0.597042i | −0.521592 | + | 0.110868i | −0.461182 | − | 0.887306i | \(-0.652574\pi\) |
−0.0604106 | + | 0.998174i | \(0.519241\pi\) | |||||||
\(30\) | −2.51429 | − | 1.89816i | −0.459044 | − | 0.346555i | ||||
\(31\) | −1.23295 | − | 3.79462i | −0.221444 | − | 0.681534i | −0.998633 | − | 0.0522674i | \(-0.983355\pi\) |
0.777189 | − | 0.629267i | \(-0.216645\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | −4.15327 | − | 0.882805i | −0.722992 | − | 0.153677i | ||||
\(34\) | 0.113964 | − | 1.08429i | 0.0195446 | − | 0.185955i | ||||
\(35\) | 0.0905688 | + | 1.04592i | 0.0153089 | + | 0.176793i | ||||
\(36\) | 0.106104 | + | 1.00951i | 0.0176840 | + | 0.168252i | ||||
\(37\) | 0.287378 | + | 0.208792i | 0.0472446 | + | 0.0343252i | 0.611157 | − | 0.791509i | \(-0.290704\pi\) |
−0.563912 | + | 0.825835i | \(0.690704\pi\) | |||||||
\(38\) | −4.25142 | − | 0.961971i | −0.689672 | − | 0.156052i | ||||
\(39\) | 3.00908 | − | 2.18623i | 0.481839 | − | 0.350077i | ||||
\(40\) | 2.05909 | − | 0.871870i | 0.325570 | − | 0.137855i | ||||
\(41\) | 3.43154 | − | 1.52782i | 0.535916 | − | 0.238605i | −0.120888 | − | 0.992666i | \(-0.538574\pi\) |
0.656805 | + | 0.754061i | \(0.271908\pi\) | |||||||
\(42\) | −0.442608 | + | 0.491566i | −0.0682959 | + | 0.0758502i | ||||
\(43\) | −0.328737 | + | 0.569390i | −0.0501320 | + | 0.0868312i | −0.890002 | − | 0.455956i | \(-0.849298\pi\) |
0.839870 | + | 0.542787i | \(0.182631\pi\) | |||||||
\(44\) | 2.01662 | − | 2.23969i | 0.304017 | − | 0.337645i | ||||
\(45\) | −2.26939 | − | 0.0416316i | −0.338301 | − | 0.00620607i | ||||
\(46\) | −2.26605 | + | 6.97418i | −0.334111 | + | 1.02829i | ||||
\(47\) | 9.01672 | − | 1.91656i | 1.31522 | − | 0.279559i | 0.503700 | − | 0.863879i | \(-0.331972\pi\) |
0.811524 | + | 0.584320i | \(0.198639\pi\) | |||||||
\(48\) | 1.28707 | + | 0.573041i | 0.185773 | + | 0.0827113i | ||||
\(49\) | −6.77957 | −0.968510 | ||||||||
\(50\) | 1.36963 | + | 4.80875i | 0.193696 | + | 0.680060i | ||||
\(51\) | 0.768024 | + | 1.33026i | 0.107545 | + | 0.186273i | ||||
\(52\) | 0.275955 | + | 2.62554i | 0.0382681 | + | 0.364097i | ||||
\(53\) | −7.54192 | + | 1.60308i | −1.03596 | + | 0.220201i | −0.694348 | − | 0.719640i | \(-0.744307\pi\) |
−0.341615 | + | 0.939840i | \(0.610974\pi\) | |||||||
\(54\) | −3.78509 | − | 4.20377i | −0.515086 | − | 0.572061i | ||||
\(55\) | 4.41669 | + | 5.08996i | 0.595546 | + | 0.686330i | ||||
\(56\) | −0.145084 | − | 0.446521i | −0.0193876 | − | 0.0596689i | ||||
\(57\) | 5.64241 | − | 2.42421i | 0.747356 | − | 0.321095i | ||||
\(58\) | 0.887377 | + | 2.73107i | 0.116518 | + | 0.358606i | ||||
\(59\) | 6.83891 | − | 3.04488i | 0.890350 | − | 0.396409i | 0.0899994 | − | 0.995942i | \(-0.471313\pi\) |
0.800350 | + | 0.599533i | \(0.204647\pi\) | |||||||
\(60\) | −1.62495 | + | 2.69892i | −0.209780 | + | 0.348429i | ||||
\(61\) | −7.72127 | − | 3.43773i | −0.988607 | − | 0.440156i | −0.152250 | − | 0.988342i | \(-0.548652\pi\) |
−0.836357 | + | 0.548186i | \(0.815319\pi\) | |||||||
\(62\) | −3.64496 | + | 1.62284i | −0.462910 | + | 0.206101i | ||||
\(63\) | −0.0498159 | + | 0.473966i | −0.00627621 | + | 0.0597141i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −5.90223 | − | 0.108275i | −0.732082 | − | 0.0134299i | ||||
\(66\) | −0.443834 | + | 4.22280i | −0.0546322 | + | 0.519791i | ||||
\(67\) | 3.10707 | − | 3.45075i | 0.379589 | − | 0.421577i | −0.522829 | − | 0.852438i | \(-0.675123\pi\) |
0.902418 | + | 0.430861i | \(0.141790\pi\) | |||||||
\(68\) | −1.09027 | −0.132214 | ||||||||
\(69\) | −3.19258 | − | 9.82575i | −0.384341 | − | 1.18288i | ||||
\(70\) | 1.03072 | − | 0.199401i | 0.123195 | − | 0.0238330i | ||||
\(71\) | 5.41543 | + | 6.01444i | 0.642693 | + | 0.713783i | 0.973184 | − | 0.230026i | \(-0.0738811\pi\) |
−0.330491 | + | 0.943809i | \(0.607214\pi\) | |||||||
\(72\) | 0.992891 | − | 0.211046i | 0.117013 | − | 0.0248720i | ||||
\(73\) | −1.22144 | − | 11.6212i | −0.142958 | − | 1.36016i | −0.797128 | − | 0.603810i | \(-0.793648\pi\) |
0.654170 | − | 0.756348i | \(-0.273018\pi\) | |||||||
\(74\) | 0.177609 | − | 0.307628i | 0.0206467 | − | 0.0357611i | ||||
\(75\) | −5.54332 | − | 4.34682i | −0.640087 | − | 0.501927i | ||||
\(76\) | −0.512306 | + | 4.32869i | −0.0587656 | + | 0.496535i | ||||
\(77\) | 1.14474 | − | 0.831703i | 0.130455 | − | 0.0947814i | ||||
\(78\) | −2.48879 | − | 2.76408i | −0.281800 | − | 0.312970i | ||||
\(79\) | −3.52171 | − | 3.91125i | −0.396223 | − | 0.440050i | 0.511715 | − | 0.859155i | \(-0.329010\pi\) |
−0.907938 | + | 0.419105i | \(0.862344\pi\) | |||||||
\(80\) | −1.08233 | − | 1.95667i | −0.121008 | − | 0.218763i | ||||
\(81\) | 4.81680 | + | 1.02384i | 0.535200 | + | 0.113760i | ||||
\(82\) | −1.87814 | − | 3.25304i | −0.207406 | − | 0.359238i | ||||
\(83\) | 0.866993 | + | 2.66833i | 0.0951648 | + | 0.292887i | 0.987297 | − | 0.158888i | \(-0.0507909\pi\) |
−0.892132 | + | 0.451775i | \(0.850791\pi\) | |||||||
\(84\) | 0.535138 | + | 0.388800i | 0.0583883 | + | 0.0424216i | ||||
\(85\) | 0.299258 | − | 2.41947i | 0.0324591 | − | 0.262428i | ||||
\(86\) | 0.600633 | + | 0.267419i | 0.0647679 | + | 0.0288365i | ||||
\(87\) | −3.27307 | − | 2.37803i | −0.350910 | − | 0.254951i | ||||
\(88\) | −2.43821 | − | 1.77146i | −0.259914 | − | 0.188839i | ||||
\(89\) | 6.04628 | + | 2.69198i | 0.640904 | + | 0.285349i | 0.701344 | − | 0.712823i | \(-0.252584\pi\) |
−0.0604399 | + | 0.998172i | \(0.519250\pi\) | |||||||
\(90\) | 0.195812 | + | 2.26131i | 0.0206404 | + | 0.238363i | ||||
\(91\) | −0.129561 | + | 1.23269i | −0.0135817 | + | 0.129221i | ||||
\(92\) | 7.17284 | + | 1.52464i | 0.747821 | + | 0.158954i | ||||
\(93\) | 2.81064 | − | 4.86816i | 0.291449 | − | 0.504805i | ||||
\(94\) | −2.84857 | − | 8.76699i | −0.293807 | − | 0.904246i | ||||
\(95\) | −9.46542 | − | 2.32504i | −0.971132 | − | 0.238544i | ||||
\(96\) | 0.435366 | − | 1.33992i | 0.0444344 | − | 0.136755i | ||||
\(97\) | −5.03176 | − | 5.58834i | −0.510898 | − | 0.567410i | 0.431410 | − | 0.902156i | \(-0.358016\pi\) |
−0.942308 | + | 0.334746i | \(0.891349\pi\) | |||||||
\(98\) | 0.708658 | + | 6.74243i | 0.0715853 | + | 0.681088i | ||||
\(99\) | 1.52961 | + | 2.64936i | 0.153732 | + | 0.266271i | ||||
\(100\) | 4.63924 | − | 1.86478i | 0.463924 | − | 0.186478i | ||||
\(101\) | 1.09596 | + | 1.89827i | 0.109053 | + | 0.188885i | 0.915387 | − | 0.402576i | \(-0.131885\pi\) |
−0.806334 | + | 0.591460i | \(0.798552\pi\) | |||||||
\(102\) | 1.24269 | − | 0.902866i | 0.123044 | − | 0.0893970i | ||||
\(103\) | 1.78929 | − | 5.50686i | 0.176304 | − | 0.542607i | −0.823387 | − | 0.567480i | \(-0.807918\pi\) |
0.999691 | + | 0.0248735i | \(0.00791830\pi\) | |||||||
\(104\) | 2.58231 | − | 0.548887i | 0.253217 | − | 0.0538228i | ||||
\(105\) | −1.00970 | + | 1.08084i | −0.0985362 | + | 0.105479i | ||||
\(106\) | 2.38265 | + | 7.33304i | 0.231423 | + | 0.712248i | ||||
\(107\) | 15.3436 | 1.48332 | 0.741661 | − | 0.670775i | \(-0.234038\pi\) | ||||
0.741661 | + | 0.670775i | \(0.234038\pi\) | |||||||
\(108\) | −3.78509 | + | 4.20377i | −0.364221 | + | 0.404508i | ||||
\(109\) | −9.60191 | + | 4.27505i | −0.919696 | + | 0.409475i | −0.811298 | − | 0.584633i | \(-0.801239\pi\) |
−0.108398 | + | 0.994108i | \(0.534572\pi\) | |||||||
\(110\) | 4.60040 | − | 4.92454i | 0.438631 | − | 0.469536i | ||||
\(111\) | 0.0523122 | + | 0.497717i | 0.00496525 | + | 0.0472412i | ||||
\(112\) | −0.428910 | + | 0.190963i | −0.0405282 | + | 0.0180443i | ||||
\(113\) | 8.82422 | + | 6.41117i | 0.830113 | + | 0.603112i | 0.919591 | − | 0.392876i | \(-0.128520\pi\) |
−0.0894782 | + | 0.995989i | \(0.528520\pi\) | |||||||
\(114\) | −3.00073 | − | 5.35810i | −0.281044 | − | 0.501832i | ||||
\(115\) | −5.35222 | + | 15.4992i | −0.499097 | + | 1.44531i | ||||
\(116\) | 2.62335 | − | 1.16799i | 0.243572 | − | 0.108445i | ||||
\(117\) | −2.62124 | − | 0.557161i | −0.242333 | − | 0.0515095i | ||||
\(118\) | −3.74306 | − | 6.48317i | −0.344576 | − | 0.596824i | ||||
\(119\) | −0.500694 | − | 0.106426i | −0.0458986 | − | 0.00975604i | ||||
\(120\) | 2.85399 | + | 1.33393i | 0.260533 | + | 0.121771i | ||||
\(121\) | −0.592397 | + | 1.82321i | −0.0538543 | + | 0.165746i | ||||
\(122\) | −2.61181 | + | 8.03831i | −0.236462 | + | 0.727754i | ||||
\(123\) | 4.83461 | + | 2.15251i | 0.435922 | + | 0.194085i | ||||
\(124\) | 1.99495 | + | 3.45536i | 0.179152 | + | 0.310300i | ||||
\(125\) | 2.86486 | + | 10.8071i | 0.256241 | + | 0.966613i | ||||
\(126\) | 0.476577 | 0.0424568 | ||||||||
\(127\) | −3.89669 | − | 1.73492i | −0.345775 | − | 0.153949i | 0.226499 | − | 0.974011i | \(-0.427272\pi\) |
−0.572274 | + | 0.820062i | \(0.693939\pi\) | |||||||
\(128\) | 0.669131 | + | 0.743145i | 0.0591433 | + | 0.0656853i | ||||
\(129\) | −0.906058 | + | 0.192589i | −0.0797739 | + | 0.0169565i | ||||
\(130\) | 0.509269 | + | 5.88122i | 0.0446658 | + | 0.515817i | ||||
\(131\) | 10.0938 | + | 2.14551i | 0.881903 | + | 0.187454i | 0.626538 | − | 0.779391i | \(-0.284471\pi\) |
0.255365 | + | 0.966845i | \(0.417805\pi\) | |||||||
\(132\) | 4.24606 | 0.369572 | ||||||||
\(133\) | −0.657815 | + | 1.93790i | −0.0570398 | + | 0.168037i | ||||
\(134\) | −3.75663 | − | 2.72935i | −0.324523 | − | 0.235780i | ||||
\(135\) | −8.28989 | − | 9.55358i | −0.713480 | − | 0.822241i | ||||
\(136\) | 0.113964 | + | 1.08429i | 0.00977231 | + | 0.0929774i | ||||
\(137\) | −1.75734 | + | 16.7200i | −0.150140 | + | 1.42848i | 0.616979 | + | 0.786980i | \(0.288356\pi\) |
−0.767119 | + | 0.641505i | \(0.778310\pi\) | |||||||
\(138\) | −9.43821 | + | 4.20216i | −0.803433 | + | 0.357712i | ||||
\(139\) | 14.4227 | + | 6.42139i | 1.22331 | + | 0.544655i | 0.913771 | − | 0.406230i | \(-0.133157\pi\) |
0.309544 | + | 0.950885i | \(0.399824\pi\) | |||||||
\(140\) | −0.306049 | − | 1.00423i | −0.0258658 | − | 0.0848733i | ||||
\(141\) | 10.5069 | + | 7.63370i | 0.884839 | + | 0.642873i | ||||
\(142\) | 5.41543 | − | 6.01444i | 0.454453 | − | 0.504721i | ||||
\(143\) | 3.97821 | + | 6.89047i | 0.332675 | + | 0.576210i | ||||
\(144\) | −0.313675 | − | 0.965392i | −0.0261396 | − | 0.0804493i | ||||
\(145\) | 1.87189 | + | 6.14221i | 0.155452 | + | 0.510083i | ||||
\(146\) | −11.4299 | + | 2.42949i | −0.945942 | + | 0.201066i | ||||
\(147\) | −6.39124 | − | 7.09819i | −0.527141 | − | 0.585449i | ||||
\(148\) | −0.324508 | − | 0.144480i | −0.0266744 | − | 0.0118762i | ||||
\(149\) | −8.32086 | + | 14.4122i | −0.681672 | + | 1.18069i | 0.292799 | + | 0.956174i | \(0.405413\pi\) |
−0.974470 | + | 0.224516i | \(0.927920\pi\) | |||||||
\(150\) | −3.74357 | + | 5.96732i | −0.305661 | + | 0.487229i | ||||
\(151\) | 4.14501 | 0.337316 | 0.168658 | − | 0.985675i | \(-0.446057\pi\) | ||||
0.168658 | + | 0.985675i | \(0.446057\pi\) | |||||||
\(152\) | 4.35853 | + | 0.0570286i | 0.353523 | + | 0.00462563i | ||||
\(153\) | 0.341989 | − | 1.05253i | 0.0276482 | − | 0.0850923i | ||||
\(154\) | −0.946805 | − | 1.05153i | −0.0762957 | − | 0.0847350i | ||||
\(155\) | −8.21556 | + | 3.47868i | −0.659890 | + | 0.279414i | ||||
\(156\) | −2.48879 | + | 2.76408i | −0.199262 | + | 0.221303i | ||||
\(157\) | 9.15353 | − | 15.8544i | 0.730532 | − | 1.26532i | −0.226125 | − | 0.974098i | \(-0.572606\pi\) |
0.956656 | − | 0.291219i | \(-0.0940610\pi\) | |||||||
\(158\) | −3.52171 | + | 3.91125i | −0.280172 | + | 0.311162i | ||||
\(159\) | −8.78835 | − | 6.38511i | −0.696962 | − | 0.506372i | ||||
\(160\) | −1.83282 | + | 1.28093i | −0.144897 | + | 0.101266i | ||||
\(161\) | 3.14523 | + | 1.40035i | 0.247879 | + | 0.110363i | ||||
\(162\) | 0.514741 | − | 4.89743i | 0.0404419 | − | 0.384779i | ||||
\(163\) | −2.53103 | − | 1.83890i | −0.198245 | − | 0.144034i | 0.484234 | − | 0.874938i | \(-0.339098\pi\) |
−0.682479 | + | 0.730905i | \(0.739098\pi\) | |||||||
\(164\) | −3.03890 | + | 2.20789i | −0.237298 | + | 0.172407i | ||||
\(165\) | −1.16547 | + | 9.42267i | −0.0907315 | + | 0.733554i | ||||
\(166\) | 2.56309 | − | 1.14116i | 0.198934 | − | 0.0885712i | ||||
\(167\) | −1.78279 | + | 1.97999i | −0.137957 | + | 0.153217i | −0.808164 | − | 0.588957i | \(-0.799539\pi\) |
0.670207 | + | 0.742174i | \(0.266205\pi\) | |||||||
\(168\) | 0.330733 | − | 0.572847i | 0.0255166 | − | 0.0441961i | ||||
\(169\) | 5.89861 | + | 1.25379i | 0.453739 | + | 0.0964452i | ||||
\(170\) | −2.43750 | − | 0.0447155i | −0.186948 | − | 0.00342952i | ||||
\(171\) | −4.01818 | − | 1.85238i | −0.307278 | − | 0.141655i | ||||
\(172\) | 0.203171 | − | 0.625296i | 0.0154916 | − | 0.0476784i | ||||
\(173\) | −2.26220 | − | 21.5234i | −0.171992 | − | 1.63640i | −0.651350 | − | 0.758777i | \(-0.725797\pi\) |
0.479358 | − | 0.877619i | \(-0.340869\pi\) | |||||||
\(174\) | −2.02287 | + | 3.50371i | −0.153353 | + | 0.265616i | ||||
\(175\) | 2.31256 | − | 0.403526i | 0.174813 | − | 0.0305037i | ||||
\(176\) | −1.50690 | + | 2.61002i | −0.113587 | + | 0.196738i | ||||
\(177\) | 9.63516 | + | 4.28985i | 0.724223 | + | 0.322445i | ||||
\(178\) | 2.04522 | − | 6.29454i | 0.153296 | − | 0.471796i | ||||
\(179\) | −5.27362 | + | 16.2305i | −0.394169 | + | 1.21313i | 0.535438 | + | 0.844575i | \(0.320147\pi\) |
−0.929607 | + | 0.368553i | \(0.879853\pi\) | |||||||
\(180\) | 2.22845 | − | 0.431111i | 0.166099 | − | 0.0321331i | ||||
\(181\) | −1.44325 | + | 1.60289i | −0.107276 | + | 0.119142i | −0.794391 | − | 0.607406i | \(-0.792210\pi\) |
0.687115 | + | 0.726548i | \(0.258877\pi\) | |||||||
\(182\) | 1.23948 | 0.0918765 | ||||||||
\(183\) | −3.67971 | − | 11.3250i | −0.272012 | − | 0.837166i | ||||
\(184\) | 0.766517 | − | 7.29292i | 0.0565084 | − | 0.537641i | ||||
\(185\) | 0.409697 | − | 0.680478i | 0.0301215 | − | 0.0500297i | ||||
\(186\) | −5.13529 | − | 2.28638i | −0.376538 | − | 0.167645i | ||||
\(187\) | −3.00176 | + | 1.33647i | −0.219511 | + | 0.0977324i | ||||
\(188\) | −8.42120 | + | 3.74936i | −0.614179 | + | 0.273450i | ||||
\(189\) | −2.14862 | + | 1.56106i | −0.156289 | + | 0.113551i | ||||
\(190\) | −1.32289 | + | 9.65660i | −0.0959727 | + | 0.700564i | ||||
\(191\) | 9.58826 | + | 6.96628i | 0.693782 | + | 0.504062i | 0.877901 | − | 0.478842i | \(-0.158943\pi\) |
−0.184119 | + | 0.982904i | \(0.558943\pi\) | |||||||
\(192\) | −1.37809 | − | 0.292921i | −0.0994549 | − | 0.0211398i | ||||
\(193\) | 3.71371 | − | 6.43233i | 0.267318 | − | 0.463009i | −0.700850 | − | 0.713309i | \(-0.747196\pi\) |
0.968168 | + | 0.250300i | \(0.0805291\pi\) | |||||||
\(194\) | −5.03176 | + | 5.58834i | −0.361259 | + | 0.401219i | ||||
\(195\) | −5.45079 | − | 6.28170i | −0.390339 | − | 0.449842i | ||||
\(196\) | 6.63142 | − | 1.40955i | 0.473673 | − | 0.100682i | ||||
\(197\) | 0.398389 | − | 1.22611i | 0.0283840 | − | 0.0873571i | −0.935861 | − | 0.352369i | \(-0.885376\pi\) |
0.964245 | + | 0.265012i | \(0.0853761\pi\) | |||||||
\(198\) | 2.47496 | − | 1.79817i | 0.175888 | − | 0.127790i | ||||
\(199\) | 13.4674 | + | 23.3262i | 0.954679 | + | 1.65355i | 0.735101 | + | 0.677957i | \(0.237135\pi\) |
0.219578 | + | 0.975595i | \(0.429532\pi\) | |||||||
\(200\) | −2.33950 | − | 4.41891i | −0.165428 | − | 0.312464i | ||||
\(201\) | 6.54203 | 0.461439 | ||||||||
\(202\) | 1.77331 | − | 1.28838i | 0.124770 | − | 0.0906504i | ||||
\(203\) | 1.31876 | − | 0.280311i | 0.0925589 | − | 0.0196740i | ||||
\(204\) | −1.02782 | − | 1.14151i | −0.0719615 | − | 0.0799214i | ||||
\(205\) | −4.06553 | − | 7.34982i | −0.283949 | − | 0.513334i | ||||
\(206\) | −5.66372 | − | 1.20386i | −0.394610 | − | 0.0838770i | ||||
\(207\) | −3.72181 | + | 6.44636i | −0.258684 | + | 0.448053i | ||||
\(208\) | −0.815806 | − | 2.51079i | −0.0565659 | − | 0.174092i | ||||
\(209\) | 3.89570 | + | 12.5459i | 0.269471 | + | 0.867819i | ||||
\(210\) | 1.18046 | + | 0.891186i | 0.0814593 | + | 0.0614977i | ||||
\(211\) | 0.576741 | + | 5.48732i | 0.0397045 | + | 0.377763i | 0.996273 | + | 0.0862554i | \(0.0274901\pi\) |
−0.956569 | + | 0.291507i | \(0.905843\pi\) | |||||||
\(212\) | 7.04381 | − | 3.13611i | 0.483771 | − | 0.215389i | ||||
\(213\) | −1.19187 | + | 11.3399i | −0.0816656 | + | 0.776996i | ||||
\(214\) | −1.60384 | − | 15.2596i | −0.109637 | − | 1.04312i | ||||
\(215\) | 1.33186 | + | 0.622501i | 0.0908323 | + | 0.0424542i | ||||
\(216\) | 4.57639 | + | 3.32494i | 0.311384 | + | 0.226234i | ||||
\(217\) | 0.578869 | + | 1.78158i | 0.0392962 | + | 0.120941i | ||||
\(218\) | 5.25530 | + | 9.10244i | 0.355934 | + | 0.616495i | ||||
\(219\) | 11.0159 | − | 12.2344i | 0.744385 | − | 0.826723i | ||||
\(220\) | −5.37844 | − | 4.06045i | −0.362614 | − | 0.273755i | ||||
\(221\) | 0.889445 | − | 2.73743i | 0.0598305 | − | 0.184139i | ||||
\(222\) | 0.489522 | − | 0.104051i | 0.0328546 | − | 0.00698346i | ||||
\(223\) | −0.612739 | − | 5.82982i | −0.0410321 | − | 0.390394i | −0.995694 | − | 0.0927016i | \(-0.970450\pi\) |
0.954662 | − | 0.297692i | \(-0.0962169\pi\) | |||||||
\(224\) | 0.234750 | + | 0.406599i | 0.0156849 | + | 0.0271670i | ||||
\(225\) | 0.345032 | + | 5.06362i | 0.0230021 | + | 0.337575i | ||||
\(226\) | 5.45367 | − | 9.44603i | 0.362773 | − | 0.628341i | ||||
\(227\) | 13.5308 | − | 9.83070i | 0.898071 | − | 0.652487i | −0.0398990 | − | 0.999204i | \(-0.512704\pi\) |
0.937970 | + | 0.346717i | \(0.112704\pi\) | |||||||
\(228\) | −5.01509 | + | 3.54436i | −0.332132 | + | 0.234731i | ||||
\(229\) | 4.40388 | − | 13.5538i | 0.291017 | − | 0.895657i | −0.693514 | − | 0.720443i | \(-0.743938\pi\) |
0.984530 | − | 0.175214i | \(-0.0560616\pi\) | |||||||
\(230\) | 15.9737 | + | 3.70280i | 1.05328 | + | 0.244155i | ||||
\(231\) | 1.94996 | + | 0.414477i | 0.128298 | + | 0.0272706i | ||||
\(232\) | −1.43581 | − | 2.48689i | −0.0942653 | − | 0.163272i | ||||
\(233\) | 3.91659 | + | 0.832496i | 0.256584 | + | 0.0545386i | 0.334408 | − | 0.942429i | \(-0.391464\pi\) |
−0.0778236 | + | 0.996967i | \(0.524797\pi\) | |||||||
\(234\) | −0.280115 | + | 2.66511i | −0.0183117 | + | 0.174224i | ||||
\(235\) | −6.00895 | − | 19.7171i | −0.391981 | − | 1.28620i | ||||
\(236\) | −6.05639 | + | 4.40023i | −0.394238 | + | 0.286430i | ||||
\(237\) | 0.775085 | − | 7.37444i | 0.0503472 | − | 0.479021i | ||||
\(238\) | −0.0535060 | + | 0.509076i | −0.00346828 | + | 0.0329985i | ||||
\(239\) | 2.91818 | − | 2.12018i | 0.188761 | − | 0.137143i | −0.489391 | − | 0.872064i | \(-0.662781\pi\) |
0.678152 | + | 0.734921i | \(0.262781\pi\) | |||||||
\(240\) | 1.02830 | − | 2.97779i | 0.0663764 | − | 0.192216i | ||||
\(241\) | −1.82879 | + | 17.3997i | −0.117803 | + | 1.12082i | 0.762693 | + | 0.646761i | \(0.223877\pi\) |
−0.880495 | + | 0.474055i | \(0.842790\pi\) | |||||||
\(242\) | 1.87515 | + | 0.398574i | 0.120539 | + | 0.0256213i | ||||
\(243\) | −5.01616 | − | 8.68825i | −0.321787 | − | 0.557352i | ||||
\(244\) | 8.26728 | + | 1.75727i | 0.529259 | + | 0.112497i | ||||
\(245\) | 1.30781 | + | 15.1031i | 0.0835530 | + | 0.964899i | ||||
\(246\) | 1.63536 | − | 5.03312i | 0.104267 | − | 0.320900i | ||||
\(247\) | −10.4505 | − | 4.81766i | −0.664949 | − | 0.306541i | ||||
\(248\) | 3.22790 | − | 2.34521i | 0.204972 | − | 0.148921i | ||||
\(249\) | −1.97640 | + | 3.42323i | −0.125249 | + | 0.216938i | ||||
\(250\) | 10.4484 | − | 3.97881i | 0.660815 | − | 0.251642i | ||||
\(251\) | −9.20391 | − | 15.9416i | −0.580946 | − | 1.00623i | −0.995368 | − | 0.0961426i | \(-0.969350\pi\) |
0.414422 | − | 0.910085i | \(-0.363984\pi\) | |||||||
\(252\) | −0.0498159 | − | 0.473966i | −0.00313810 | − | 0.0298571i | ||||
\(253\) | 21.6175 | − | 4.59494i | 1.35908 | − | 0.288881i | ||||
\(254\) | −1.31810 | + | 4.05669i | −0.0827049 | + | 0.254539i | ||||
\(255\) | 2.81530 | − | 1.96756i | 0.176301 | − | 0.123214i | ||||
\(256\) | 0.669131 | − | 0.743145i | 0.0418207 | − | 0.0464466i | ||||
\(257\) | 4.46392 | + | 7.73173i | 0.278452 | + | 0.482292i | 0.971000 | − | 0.239079i | \(-0.0768455\pi\) |
−0.692549 | + | 0.721371i | \(0.743512\pi\) | |||||||
\(258\) | 0.286242 | + | 0.880963i | 0.0178207 | + | 0.0548464i | ||||
\(259\) | −0.134924 | − | 0.0980280i | −0.00838377 | − | 0.00609117i | ||||
\(260\) | 5.79577 | − | 1.12123i | 0.359438 | − | 0.0695360i | ||||
\(261\) | 0.304690 | + | 2.89893i | 0.0188598 | + | 0.179439i | ||||
\(262\) | 1.07867 | − | 10.2628i | 0.0666401 | − | 0.634039i | ||||
\(263\) | −0.123617 | + | 0.0550377i | −0.00762253 | + | 0.00339377i | −0.410544 | − | 0.911841i | \(-0.634661\pi\) |
0.402922 | + | 0.915234i | \(0.367995\pi\) | |||||||
\(264\) | −0.443834 | − | 4.22280i | −0.0273161 | − | 0.259895i | ||||
\(265\) | 5.02611 | + | 16.4921i | 0.308752 | + | 1.01310i | ||||
\(266\) | 1.99604 | + | 0.451646i | 0.122385 | + | 0.0276922i | ||||
\(267\) | 2.88146 | + | 8.86822i | 0.176342 | + | 0.542726i | ||||
\(268\) | −2.32172 | + | 4.02134i | −0.141822 | + | 0.245643i | ||||
\(269\) | 1.38225 | + | 0.293807i | 0.0842775 | + | 0.0179137i | 0.249857 | − | 0.968283i | \(-0.419616\pi\) |
−0.165580 | + | 0.986196i | \(0.552950\pi\) | |||||||
\(270\) | −8.63471 | + | 9.24310i | −0.525492 | + | 0.562517i | ||||
\(271\) | 19.6696 | + | 21.8453i | 1.19484 | + | 1.32701i | 0.932126 | + | 0.362134i | \(0.117952\pi\) |
0.262716 | + | 0.964873i | \(0.415382\pi\) | |||||||
\(272\) | 1.06644 | − | 0.226679i | 0.0646625 | − | 0.0137444i | ||||
\(273\) | −1.41277 | + | 1.02643i | −0.0855045 | + | 0.0621226i | ||||
\(274\) | 16.8121 | 1.01566 | ||||||||
\(275\) | 10.4871 | − | 10.8211i | 0.632393 | − | 0.652535i | ||||
\(276\) | 5.16570 | + | 8.94726i | 0.310939 | + | 0.538562i | ||||
\(277\) | −7.34880 | + | 5.33922i | −0.441547 | + | 0.320802i | −0.786249 | − | 0.617910i | \(-0.787980\pi\) |
0.344703 | + | 0.938712i | \(0.387980\pi\) | |||||||
\(278\) | 4.87863 | − | 15.0149i | 0.292601 | − | 0.900533i | ||||
\(279\) | −3.96154 | + | 0.842051i | −0.237171 | + | 0.0504123i | ||||
\(280\) | −0.966742 | + | 0.409343i | −0.0577739 | + | 0.0244629i | ||||
\(281\) | 2.56106 | − | 2.84435i | 0.152780 | − | 0.169680i | −0.661896 | − | 0.749596i | \(-0.730248\pi\) |
0.814676 | + | 0.579916i | \(0.196915\pi\) | |||||||
\(282\) | 6.49361 | − | 11.2473i | 0.386689 | − | 0.669765i | ||||
\(283\) | 22.8170 | + | 4.84991i | 1.35633 | + | 0.288297i | 0.827994 | − | 0.560737i | \(-0.189482\pi\) |
0.528338 | + | 0.849034i | \(0.322815\pi\) | |||||||
\(284\) | −6.54756 | − | 4.75708i | −0.388526 | − | 0.282281i | ||||
\(285\) | −6.48894 | − | 12.1021i | −0.384372 | − | 0.716869i | ||||
\(286\) | 6.43689 | − | 4.67667i | 0.380621 | − | 0.276537i | ||||
\(287\) | −1.61111 | + | 0.717312i | −0.0951007 | + | 0.0423416i | ||||
\(288\) | −0.927315 | + | 0.412867i | −0.0546426 | + | 0.0243284i | ||||
\(289\) | −14.4444 | − | 6.43104i | −0.849668 | − | 0.378297i | ||||
\(290\) | 5.91290 | − | 2.50367i | 0.347218 | − | 0.147021i | ||||
\(291\) | 1.10743 | − | 10.5365i | 0.0649186 | − | 0.617660i | ||||
\(292\) | 3.61093 | + | 11.1133i | 0.211314 | + | 0.650356i | ||||
\(293\) | −11.3001 | −0.660158 | −0.330079 | − | 0.943953i | \(-0.607075\pi\) | ||||
−0.330079 | + | 0.943953i | \(0.607075\pi\) | |||||||
\(294\) | −6.39124 | + | 7.09819i | −0.372745 | + | 0.413975i | ||||
\(295\) | −8.10243 | − | 14.6479i | −0.471741 | − | 0.852832i | ||||
\(296\) | −0.109769 | + | 0.337833i | −0.00638017 | + | 0.0196361i | ||||
\(297\) | −5.26820 | + | 16.2138i | −0.305692 | + | 0.940822i | ||||
\(298\) | 15.2030 | + | 6.76880i | 0.880685 | + | 0.392106i | ||||
\(299\) | −9.67969 | + | 16.7657i | −0.559791 | + | 0.969586i | ||||
\(300\) | 6.32594 | + | 3.09931i | 0.365228 | + | 0.178939i | ||||
\(301\) | 0.154342 | − | 0.267329i | 0.00889614 | − | 0.0154086i | ||||
\(302\) | −0.433272 | − | 4.12231i | −0.0249320 | − | 0.237212i | ||||
\(303\) | −0.954292 | + | 2.93701i | −0.0548226 | + | 0.168727i | ||||
\(304\) | −0.398874 | − | 4.34061i | −0.0228770 | − | 0.248951i | ||||
\(305\) | −6.16887 | + | 17.8641i | −0.353228 | + | 1.02289i | ||||
\(306\) | −1.08251 | − | 0.230096i | −0.0618833 | − | 0.0131537i | ||||
\(307\) | 12.6461 | − | 21.9037i | 0.721752 | − | 1.25011i | −0.238545 | − | 0.971131i | \(-0.576670\pi\) |
0.960297 | − | 0.278980i | \(-0.0899963\pi\) | |||||||
\(308\) | −0.946805 | + | 1.05153i | −0.0539492 | + | 0.0599167i | ||||
\(309\) | 7.45247 | − | 3.31805i | 0.423956 | − | 0.188757i | ||||
\(310\) | 4.31838 | + | 7.80693i | 0.245268 | + | 0.443404i | ||||
\(311\) | 22.2712 | − | 16.1809i | 1.26288 | − | 0.917537i | 0.263986 | − | 0.964527i | \(-0.414963\pi\) |
0.998895 | + | 0.0469895i | \(0.0149627\pi\) | |||||||
\(312\) | 3.00908 | + | 2.18623i | 0.170356 | + | 0.123771i | ||||
\(313\) | 2.51816 | − | 23.9587i | 0.142335 | − | 1.35422i | −0.657251 | − | 0.753672i | \(-0.728281\pi\) |
0.799586 | − | 0.600552i | \(-0.205052\pi\) | |||||||
\(314\) | −16.7243 | − | 7.44616i | −0.943809 | − | 0.420211i | ||||
\(315\) | 1.06548 | + | 0.0195460i | 0.0600330 | + | 0.00110129i | ||||
\(316\) | 4.25794 | + | 3.09358i | 0.239528 | + | 0.174027i | ||||
\(317\) | 6.25896 | − | 6.95128i | 0.351538 | − | 0.390423i | −0.541278 | − | 0.840844i | \(-0.682059\pi\) |
0.892816 | + | 0.450421i | \(0.148726\pi\) | |||||||
\(318\) | −5.43150 | + | 9.40764i | −0.304583 | + | 0.527554i | ||||
\(319\) | 5.79096 | − | 6.43151i | 0.324231 | − | 0.360095i | ||||
\(320\) | 1.46549 | + | 1.68889i | 0.0819234 | + | 0.0944116i | ||||
\(321\) | 14.4647 | + | 16.0647i | 0.807343 | + | 0.896645i | ||||
\(322\) | 1.06391 | − | 3.27438i | 0.0592894 | − | 0.182474i | ||||
\(323\) | 2.42982 | − | 4.08422i | 0.135199 | − | 0.227252i | ||||
\(324\) | −4.92441 | −0.273578 | ||||||||
\(325\) | 0.897360 | + | 13.1695i | 0.0497766 | + | 0.730511i | ||||
\(326\) | −1.56426 | + | 2.70938i | −0.0866363 | + | 0.150059i | ||||
\(327\) | −13.5279 | − | 6.02300i | −0.748094 | − | 0.333073i | ||||
\(328\) | 2.51345 | + | 2.79147i | 0.138782 | + | 0.154133i | ||||
\(329\) | −4.23335 | + | 0.899826i | −0.233392 | + | 0.0496090i | ||||
\(330\) | 9.49288 | + | 0.174145i | 0.522566 | + | 0.00958638i | ||||
\(331\) | −0.308839 | − | 0.950509i | −0.0169753 | − | 0.0522447i | 0.942210 | − | 0.335023i | \(-0.108744\pi\) |
−0.959185 | + | 0.282778i | \(0.908744\pi\) | |||||||
\(332\) | −1.40282 | − | 2.42976i | −0.0769900 | − | 0.133351i | ||||
\(333\) | 0.241270 | − | 0.267958i | 0.0132215 | − | 0.0146840i | ||||
\(334\) | 2.15550 | + | 1.56606i | 0.117944 | + | 0.0856911i | ||||
\(335\) | −8.28672 | − | 6.25606i | −0.452752 | − | 0.341805i | ||||
\(336\) | −0.604280 | − | 0.269043i | −0.0329662 | − | 0.0146775i | ||||
\(337\) | 7.00904 | − | 3.12063i | 0.381807 | − | 0.169991i | −0.206853 | − | 0.978372i | \(-0.566322\pi\) |
0.588660 | + | 0.808381i | \(0.299656\pi\) | |||||||
\(338\) | 0.630347 | − | 5.99735i | 0.0342864 | − | 0.326213i | ||||
\(339\) | 1.60630 | + | 15.2829i | 0.0872420 | + | 0.830053i | ||||
\(340\) | 0.210317 | + | 2.42882i | 0.0114061 | + | 0.131721i | ||||
\(341\) | 9.72823 | + | 7.06797i | 0.526813 | + | 0.382752i | ||||
\(342\) | −1.42221 | + | 4.18980i | −0.0769046 | + | 0.226558i | ||||
\(343\) | 6.46951 | 0.349321 | ||||||||
\(344\) | −0.643108 | − | 0.136697i | −0.0346740 | − | 0.00737019i | ||||
\(345\) | −21.2733 | + | 9.00764i | −1.14531 | + | 0.484955i | ||||
\(346\) | −21.1691 | + | 4.49962i | −1.13806 | + | 0.241901i | ||||
\(347\) | −2.37991 | − | 2.64316i | −0.127760 | − | 0.141892i | 0.675870 | − | 0.737020i | \(-0.263768\pi\) |
−0.803631 | + | 0.595128i | \(0.797101\pi\) | |||||||
\(348\) | 3.69597 | + | 1.64555i | 0.198125 | + | 0.0882108i | ||||
\(349\) | −29.2998 | −1.56838 | −0.784191 | − | 0.620519i | \(-0.786922\pi\) | ||||
−0.784191 | + | 0.620519i | \(0.786922\pi\) | |||||||
\(350\) | −0.643044 | − | 2.25771i | −0.0343721 | − | 0.120680i | ||||
\(351\) | −7.46690 | − | 12.9330i | −0.398553 | − | 0.690315i | ||||
\(352\) | 2.75324 | + | 1.22582i | 0.146748 | + | 0.0653365i | ||||
\(353\) | 9.36659 | − | 28.8274i | 0.498533 | − | 1.53433i | −0.312844 | − | 0.949805i | \(-0.601282\pi\) |
0.811377 | − | 0.584523i | \(-0.198718\pi\) | |||||||
\(354\) | 3.25920 | − | 10.0308i | 0.173225 | − | 0.533130i | ||||
\(355\) | 12.3539 | − | 13.2243i | 0.655677 | − | 0.701875i | ||||
\(356\) | −6.47385 | − | 1.37606i | −0.343113 | − | 0.0729310i | ||||
\(357\) | −0.360587 | − | 0.624555i | −0.0190843 | − | 0.0330550i | ||||
\(358\) | 16.6929 | + | 3.54818i | 0.882245 | + | 0.187527i | ||||
\(359\) | −22.6981 | + | 10.1059i | −1.19796 | + | 0.533367i | −0.906088 | − | 0.423090i | \(-0.860945\pi\) |
−0.291874 | + | 0.956457i | \(0.594279\pi\) | |||||||
\(360\) | −0.661686 | − | 2.17118i | −0.0348739 | − | 0.114431i | ||||
\(361\) | −15.0739 | − | 11.5663i | −0.793361 | − | 0.608751i | ||||
\(362\) | 1.74497 | + | 1.26780i | 0.0917137 | + | 0.0666339i | ||||
\(363\) | −2.46736 | + | 1.09854i | −0.129503 | + | 0.0576584i | ||||
\(364\) | −0.129561 | − | 1.23269i | −0.00679085 | − | 0.0646106i | ||||
\(365\) | −25.6533 | + | 4.96282i | −1.34275 | + | 0.259766i | ||||
\(366\) | −10.8783 | + | 4.84333i | −0.568618 | + | 0.253165i | ||||
\(367\) | −0.552075 | + | 0.613142i | −0.0288181 | + | 0.0320057i | −0.757382 | − | 0.652973i | \(-0.773522\pi\) |
0.728563 | + | 0.684978i | \(0.240188\pi\) | |||||||
\(368\) | −7.33309 | −0.382264 | ||||||||
\(369\) | −1.17825 | − | 3.62629i | −0.0613374 | − | 0.188777i | ||||
\(370\) | −0.719575 | − | 0.336323i | −0.0374089 | − | 0.0174846i | ||||
\(371\) | 3.54093 | − | 0.752649i | 0.183836 | − | 0.0390756i | ||||
\(372\) | −1.73707 | + | 5.34615i | −0.0900628 | + | 0.277185i | ||||
\(373\) | 16.0271 | − | 11.6444i | 0.829851 | − | 0.602922i | −0.0896664 | − | 0.995972i | \(-0.528580\pi\) |
0.919517 | + | 0.393050i | \(0.128580\pi\) | |||||||
\(374\) | 1.64292 | + | 2.84562i | 0.0849533 | + | 0.147143i | ||||
\(375\) | −8.61421 | + | 13.1875i | −0.444836 | + | 0.681002i | ||||
\(376\) | 4.60908 | + | 7.98316i | 0.237695 | + | 0.411700i | ||||
\(377\) | 0.792437 | + | 7.53953i | 0.0408126 | + | 0.388306i | ||||
\(378\) | 1.77710 | + | 1.97367i | 0.0914043 | + | 0.101515i | ||||
\(379\) | −6.22404 | + | 19.1556i | −0.319708 | + | 0.983959i | 0.654065 | + | 0.756438i | \(0.273062\pi\) |
−0.973773 | + | 0.227521i | \(0.926938\pi\) | |||||||
\(380\) | 9.74198 | + | 0.306256i | 0.499753 | + | 0.0157106i | ||||
\(381\) | −1.85704 | − | 5.71537i | −0.0951388 | − | 0.292807i | ||||
\(382\) | 5.92587 | − | 10.2639i | 0.303194 | − | 0.525147i | ||||
\(383\) | 0.900303 | + | 0.191365i | 0.0460033 | + | 0.00977831i | 0.230856 | − | 0.972988i | \(-0.425847\pi\) |
−0.184853 | + | 0.982766i | \(0.559181\pi\) | |||||||
\(384\) | −0.147267 | + | 1.40116i | −0.00751521 | + | 0.0715025i | ||||
\(385\) | −2.07364 | − | 2.38974i | −0.105682 | − | 0.121792i | ||||
\(386\) | −6.78528 | − | 3.02100i | −0.345362 | − | 0.153765i | ||||
\(387\) | 0.539926 | + | 0.392279i | 0.0274460 | + | 0.0199407i | ||||
\(388\) | 6.08369 | + | 4.42006i | 0.308852 | + | 0.224394i | ||||
\(389\) | −18.2242 | − | 8.11392i | −0.924002 | − | 0.411392i | −0.111111 | − | 0.993808i | \(-0.535441\pi\) |
−0.812891 | + | 0.582416i | \(0.802108\pi\) | |||||||
\(390\) | −5.67752 | + | 6.07755i | −0.287493 | + | 0.307749i | ||||
\(391\) | −6.46810 | − | 4.69935i | −0.327106 | − | 0.237656i | ||||
\(392\) | −2.09500 | − | 6.44775i | −0.105814 | − | 0.325661i | ||||
\(393\) | 7.26933 | + | 12.5908i | 0.366689 | + | 0.635124i | ||||
\(394\) | −1.26104 | − | 0.268043i | −0.0635303 | − | 0.0135038i | ||||
\(395\) | −8.03386 | + | 8.59992i | −0.404228 | + | 0.432709i | ||||
\(396\) | −2.04702 | − | 2.27344i | −0.102867 | − | 0.114245i | ||||
\(397\) | 24.6272 | + | 27.3512i | 1.23600 | + | 1.37272i | 0.902913 | + | 0.429823i | \(0.141424\pi\) |
0.333089 | + | 0.942896i | \(0.391909\pi\) | |||||||
\(398\) | 21.7907 | − | 15.8319i | 1.09227 | − | 0.793581i | ||||
\(399\) | −2.64911 | + | 1.13817i | −0.132622 | + | 0.0569797i | ||||
\(400\) | −4.15016 | + | 2.78859i | −0.207508 | + | 0.139429i | ||||
\(401\) | −19.1236 | + | 33.1230i | −0.954985 | + | 1.65408i | −0.220581 | + | 0.975369i | \(0.570795\pi\) |
−0.734403 | + | 0.678713i | \(0.762538\pi\) | |||||||
\(402\) | −0.683829 | − | 6.50620i | −0.0341063 | − | 0.324500i | ||||
\(403\) | −10.3032 | + | 2.19001i | −0.513238 | + | 0.109092i | ||||
\(404\) | −1.46669 | − | 1.62892i | −0.0729704 | − | 0.0810418i | ||||
\(405\) | 1.35166 | − | 10.9280i | 0.0671646 | − | 0.543019i | ||||
\(406\) | −0.416624 | − | 1.28224i | −0.0206767 | − | 0.0636363i | ||||
\(407\) | −1.07056 | −0.0530655 | ||||||||
\(408\) | −1.02782 | + | 1.14151i | −0.0508845 | + | 0.0565129i | ||||
\(409\) | −1.64467 | + | 15.6480i | −0.0813239 | + | 0.773745i | 0.875528 | + | 0.483168i | \(0.160514\pi\) |
−0.956852 | + | 0.290577i | \(0.906153\pi\) | |||||||
\(410\) | −6.88460 | + | 4.81153i | −0.340006 | + | 0.237624i | ||||
\(411\) | −19.1625 | + | 13.9224i | −0.945215 | + | 0.686739i | ||||
\(412\) | −0.605246 | + | 5.75853i | −0.0298183 | + | 0.283703i | ||||
\(413\) | −3.21087 | + | 1.42957i | −0.157996 | + | 0.0703446i | ||||
\(414\) | 6.80009 | + | 3.02759i | 0.334206 | + | 0.148798i | ||||
\(415\) | 5.77708 | − | 2.44616i | 0.283586 | − | 0.120077i | ||||
\(416\) | −2.41176 | + | 1.07379i | −0.118246 | + | 0.0526467i | ||||
\(417\) | 6.87338 | + | 21.1541i | 0.336591 | + | 1.03592i | ||||
\(418\) | 12.0700 | − | 5.18576i | 0.590362 | − | 0.253644i | ||||
\(419\) | −5.79139 | − | 17.8241i | −0.282928 | − | 0.870762i | −0.987012 | − | 0.160646i | \(-0.948642\pi\) |
0.704084 | − | 0.710116i | \(-0.251358\pi\) | |||||||
\(420\) | 0.762912 | − | 1.26715i | 0.0372263 | − | 0.0618304i | ||||
\(421\) | 4.54355 | + | 5.04612i | 0.221439 | + | 0.245933i | 0.843620 | − | 0.536940i | \(-0.180420\pi\) |
−0.622181 | + | 0.782873i | \(0.713753\pi\) | |||||||
\(422\) | 5.39698 | − | 1.14716i | 0.262721 | − | 0.0558430i | ||||
\(423\) | −0.978083 | − | 9.30584i | −0.0475560 | − | 0.452465i | ||||
\(424\) | −3.85521 | − | 6.67741i | −0.187225 | − | 0.324284i | ||||
\(425\) | −5.44766 | − | 0.199940i | −0.264250 | − | 0.00969851i | ||||
\(426\) | 11.4023 | 0.552446 | ||||||||
\(427\) | 3.62514 | + | 1.61401i | 0.175433 | + | 0.0781076i | ||||
\(428\) | −15.0083 | + | 3.19012i | −0.725454 | + | 0.154200i | ||||
\(429\) | −3.46396 | + | 10.6610i | −0.167242 | + | 0.514716i | ||||
\(430\) | 0.479873 | − | 1.38964i | 0.0231415 | − | 0.0670142i | ||||
\(431\) | −3.93503 | + | 4.37029i | −0.189544 | + | 0.210510i | −0.830425 | − | 0.557130i | \(-0.811902\pi\) |
0.640881 | + | 0.767640i | \(0.278569\pi\) | |||||||
\(432\) | 2.82837 | − | 4.89887i | 0.136080 | − | 0.235697i | ||||
\(433\) | −8.41138 | + | 9.34178i | −0.404225 | + | 0.448937i | −0.910546 | − | 0.413408i | \(-0.864338\pi\) |
0.506321 | + | 0.862345i | \(0.331005\pi\) | |||||||
\(434\) | 1.71131 | − | 0.761924i | 0.0821454 | − | 0.0365735i | ||||
\(435\) | −4.66621 | + | 7.75026i | −0.223728 | + | 0.371597i | ||||
\(436\) | 8.50325 | − | 6.17797i | 0.407232 | − | 0.295871i | ||||
\(437\) | −21.6972 | + | 23.4722i | −1.03792 | + | 1.12283i | ||||
\(438\) | −13.3188 | − | 9.67670i | −0.636399 | − | 0.462371i | ||||
\(439\) | −4.02982 | − | 38.3412i | −0.192333 | − | 1.82993i | −0.485932 | − | 0.873997i | \(-0.661520\pi\) |
0.293599 | − | 0.955929i | \(-0.405147\pi\) | |||||||
\(440\) | −3.47600 | + | 5.77341i | −0.165712 | + | 0.275236i | ||||
\(441\) | −0.719339 | + | 6.84406i | −0.0342543 | + | 0.325908i | ||||
\(442\) | −2.81541 | − | 0.598433i | −0.133915 | − | 0.0284646i | ||||
\(443\) | 3.10481 | + | 5.37769i | 0.147514 | + | 0.255502i | 0.930308 | − | 0.366779i | \(-0.119540\pi\) |
−0.782794 | + | 0.622281i | \(0.786206\pi\) | |||||||
\(444\) | −0.154650 | − | 0.475964i | −0.00733937 | − | 0.0225883i | ||||
\(445\) | 4.83065 | − | 13.9888i | 0.228995 | − | 0.663132i | ||||
\(446\) | −5.73384 | + | 1.21877i | −0.271505 | + | 0.0577102i | ||||
\(447\) | −22.9338 | + | 4.87472i | −1.08473 | + | 0.230566i | ||||
\(448\) | 0.379834 | − | 0.275965i | 0.0179455 | − | 0.0130381i | ||||
\(449\) | −13.7456 | −0.648695 | −0.324348 | − | 0.945938i | \(-0.605145\pi\) | ||||
−0.324348 | + | 0.945938i | \(0.605145\pi\) | |||||||
\(450\) | 4.99982 | − | 0.872435i | 0.235694 | − | 0.0411270i | ||||
\(451\) | −5.66034 | + | 9.80400i | −0.266535 | + | 0.461652i | ||||
\(452\) | −9.96435 | − | 4.43641i | −0.468684 | − | 0.208671i | ||||
\(453\) | 3.90759 | + | 4.33982i | 0.183595 | + | 0.203903i | ||||
\(454\) | −11.1912 | − | 12.4291i | −0.525229 | − | 0.583326i | ||||
\(455\) | 2.77110 | + | 0.0508353i | 0.129911 | + | 0.00238320i | ||||
\(456\) | 4.04917 | + | 4.61713i | 0.189620 | + | 0.216217i | ||||
\(457\) | −18.6745 | −0.873558 | −0.436779 | − | 0.899569i | \(-0.643881\pi\) | ||||
−0.436779 | + | 0.899569i | \(0.643881\pi\) | |||||||
\(458\) | −13.9398 | − | 2.96300i | −0.651366 | − | 0.138452i | ||||
\(459\) | 5.63415 | − | 2.50848i | 0.262979 | − | 0.117086i | ||||
\(460\) | 2.01280 | − | 16.2733i | 0.0938474 | − | 0.758746i | ||||
\(461\) | −1.57352 | − | 14.9711i | −0.0732863 | − | 0.697272i | −0.968054 | − | 0.250741i | \(-0.919326\pi\) |
0.894768 | − | 0.446531i | \(-0.147341\pi\) | |||||||
\(462\) | 0.208380 | − | 1.98261i | 0.00969472 | − | 0.0922391i | ||||
\(463\) | −31.7301 | − | 23.0533i | −1.47462 | − | 1.07138i | −0.979241 | − | 0.202702i | \(-0.935028\pi\) |
−0.495383 | − | 0.868675i | \(-0.664972\pi\) | |||||||
\(464\) | −2.32318 | + | 1.68789i | −0.107851 | + | 0.0783584i | ||||
\(465\) | −11.3871 | − | 5.32225i | −0.528066 | − | 0.246813i | ||||
\(466\) | 0.418541 | − | 3.98215i | 0.0193885 | − | 0.184470i | ||||
\(467\) | −3.89605 | − | 11.9908i | −0.180288 | − | 0.554869i | 0.819548 | − | 0.573011i | \(-0.194225\pi\) |
−0.999835 | + | 0.0181423i | \(0.994225\pi\) | |||||||
\(468\) | 2.67980 | 0.123874 | ||||||||
\(469\) | −1.45877 | + | 1.62013i | −0.0673598 | + | 0.0748106i | ||||
\(470\) | −18.9810 | + | 8.03704i | −0.875528 | + | 0.370721i | ||||
\(471\) | 25.2287 | − | 5.36253i | 1.16248 | − | 0.247093i | ||||
\(472\) | 5.00919 | + | 5.56327i | 0.230567 | + | 0.256070i | ||||
\(473\) | −0.207123 | − | 1.97064i | −0.00952351 | − | 0.0906101i | ||||
\(474\) | −7.41506 | −0.340585 | ||||||||
\(475\) | −3.35363 | + | 21.5349i | −0.153875 | + | 0.988090i | ||||
\(476\) | 0.511880 | 0.0234620 | ||||||||
\(477\) | 0.818106 | + | 7.78375i | 0.0374585 | + | 0.356394i | ||||
\(478\) | −2.41360 | − | 2.68057i | −0.110395 | − | 0.122607i | ||||
\(479\) | −30.7971 | + | 6.54613i | −1.40716 | + | 0.299100i | −0.848015 | − | 0.529973i | \(-0.822202\pi\) |
−0.559141 | + | 0.829073i | \(0.688869\pi\) | |||||||
\(480\) | −3.06896 | − | 0.711402i | −0.140078 | − | 0.0324709i | ||||
\(481\) | 0.627496 | − | 0.696905i | 0.0286114 | − | 0.0317761i | ||||
\(482\) | 17.4956 | 0.796902 | ||||||||
\(483\) | 1.49892 | + | 4.61319i | 0.0682031 | + | 0.209907i | ||||
\(484\) | 0.200385 | − | 1.90654i | 0.00910841 | − | 0.0866607i | ||||
\(485\) | −11.4787 | + | 12.2874i | −0.521219 | + | 0.557943i | ||||
\(486\) | −8.11632 | + | 5.89685i | −0.368164 | + | 0.267487i | ||||
\(487\) | −25.2272 | − | 18.3286i | −1.14315 | − | 0.830548i | −0.155596 | − | 0.987821i | \(-0.549730\pi\) |
−0.987555 | + | 0.157272i | \(0.949730\pi\) | |||||||
\(488\) | 0.883472 | − | 8.40568i | 0.0399929 | − | 0.380507i | ||||
\(489\) | −0.460729 | − | 4.38355i | −0.0208349 | − | 0.198231i | ||||
\(490\) | 14.8836 | − | 2.87935i | 0.672373 | − | 0.130076i | ||||
\(491\) | 28.8183 | − | 12.8308i | 1.30055 | − | 0.579044i | 0.364599 | − | 0.931165i | \(-0.381206\pi\) |
0.935955 | + | 0.352121i | \(0.114539\pi\) | |||||||
\(492\) | −5.17649 | − | 1.10030i | −0.233374 | − | 0.0496052i | ||||
\(493\) | −3.13082 | −0.141005 | ||||||||
\(494\) | −3.69890 | + | 10.8968i | −0.166421 | + | 0.490271i | ||||
\(495\) | 5.60700 | − | 3.91864i | 0.252016 | − | 0.176130i | ||||
\(496\) | −2.66977 | − | 2.96508i | −0.119876 | − | 0.133136i | ||||
\(497\) | −2.54255 | − | 2.82378i | −0.114049 | − | 0.126664i | ||||
\(498\) | 3.61107 | + | 1.60775i | 0.161816 | + | 0.0720450i | ||||
\(499\) | 7.10710 | − | 12.3099i | 0.318157 | − | 0.551065i | −0.661946 | − | 0.749551i | \(-0.730269\pi\) |
0.980104 | + | 0.198487i | \(0.0636026\pi\) | |||||||
\(500\) | −5.04917 | − | 9.97526i | −0.225806 | − | 0.446107i | ||||
\(501\) | −3.75373 | −0.167704 | ||||||||
\(502\) | −14.8922 | + | 10.8198i | −0.664673 | + | 0.482913i | ||||
\(503\) | −6.49622 | + | 1.38081i | −0.289652 | + | 0.0615674i | −0.350446 | − | 0.936583i | \(-0.613970\pi\) |
0.0607941 | + | 0.998150i | \(0.480637\pi\) | |||||||
\(504\) | −0.466163 | + | 0.0990859i | −0.0207645 | + | 0.00441364i | ||||
\(505\) | 4.01741 | − | 2.80770i | 0.178772 | − | 0.124941i | ||||
\(506\) | −6.82941 | − | 21.0188i | −0.303604 | − | 0.934398i | ||||
\(507\) | 4.24803 | + | 7.35780i | 0.188662 | + | 0.326771i | ||||
\(508\) | 4.17225 | + | 0.886839i | 0.185114 | + | 0.0393471i | ||||
\(509\) | 2.05043 | − | 19.5086i | 0.0908839 | − | 0.864703i | −0.850184 | − | 0.526485i | \(-0.823509\pi\) |
0.941068 | − | 0.338217i | \(-0.109824\pi\) | |||||||
\(510\) | −2.25106 | − | 2.59421i | −0.0996788 | − | 0.114873i | ||||
\(511\) | 0.573465 | + | 5.45615i | 0.0253686 | + | 0.241366i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | −7.31201 | − | 23.5480i | −0.322833 | − | 1.03967i | ||||
\(514\) | 7.22277 | − | 5.24765i | 0.318583 | − | 0.231464i | ||||
\(515\) | −12.6130 | − | 2.92375i | −0.555794 | − | 0.128836i | ||||
\(516\) | 0.846217 | − | 0.376760i | 0.0372526 | − | 0.0165859i | ||||
\(517\) | −18.5895 | + | 20.6458i | −0.817567 | + | 0.908000i | ||||
\(518\) | −0.0833876 | + | 0.144432i | −0.00366384 | + | 0.00634596i | ||||
\(519\) | 20.4024 | − | 22.6591i | 0.895564 | − | 0.994625i | ||||
\(520\) | −1.72091 | − | 5.64682i | −0.0754671 | − | 0.247629i | ||||
\(521\) | −0.878410 | + | 2.70347i | −0.0384839 | + | 0.118441i | −0.968453 | − | 0.249197i | \(-0.919833\pi\) |
0.929969 | + | 0.367638i | \(0.119833\pi\) | |||||||
\(522\) | 2.85120 | − | 0.606041i | 0.124794 | − | 0.0265257i | ||||
\(523\) | −17.9524 | − | 7.99294i | −0.785006 | − | 0.349507i | −0.0252210 | − | 0.999682i | \(-0.508029\pi\) |
−0.759785 | + | 0.650175i | \(0.774696\pi\) | |||||||
\(524\) | −10.3193 | −0.450803 | ||||||||
\(525\) | 2.60259 | + | 2.04083i | 0.113586 | + | 0.0890692i | ||||
\(526\) | 0.0676577 | + | 0.117186i | 0.00295001 | + | 0.00510957i | ||||
\(527\) | −0.454704 | − | 4.32622i | −0.0198072 | − | 0.188453i | ||||
\(528\) | −4.15327 | + | 0.882805i | −0.180748 | + | 0.0384192i | ||||
\(529\) | 20.5920 | + | 22.8697i | 0.895303 | + | 0.994334i | ||||
\(530\) | 15.8764 | − | 6.72248i | 0.689627 | − | 0.292006i | ||||
\(531\) | −2.34821 | − | 7.22703i | −0.101903 | − | 0.313627i | ||||
\(532\) | 0.240528 | − | 2.03232i | 0.0104282 | − | 0.0881123i | ||||
\(533\) | −3.06440 | − | 9.43125i | −0.132734 | − | 0.408513i | ||||
\(534\) | 8.51845 | − | 3.79266i | 0.368629 | − | 0.164124i | ||||
\(535\) | −2.95985 | − | 34.1814i | −0.127966 | − | 1.47779i | ||||
\(536\) | 4.24200 | + | 1.88866i | 0.183226 | + | 0.0815777i | ||||
\(537\) | −21.9649 | + | 9.77940i | −0.947855 | + | 0.422012i | ||||
\(538\) | 0.147713 | − | 1.40539i | 0.00636834 | − | 0.0605908i | ||||
\(539\) | 16.5300 | − | 12.0098i | 0.711999 | − | 0.517297i | ||||
\(540\) | 10.0950 | + | 7.62124i | 0.434421 | + | 0.327966i | ||||
\(541\) | 3.30794 | − | 31.4729i | 0.142219 | − | 1.35313i | −0.657818 | − | 0.753177i | \(-0.728520\pi\) |
0.800037 | − | 0.599950i | \(-0.204813\pi\) | |||||||
\(542\) | 19.6696 | − | 21.8453i | 0.844881 | − | 0.938336i | ||||
\(543\) | −3.03881 | −0.130408 | ||||||||
\(544\) | −0.336911 | − | 1.03690i | −0.0144449 | − | 0.0444569i | ||||
\(545\) | 11.3759 | + | 20.5658i | 0.487290 | + | 0.880942i | ||||
\(546\) | 1.16849 | + | 1.29773i | 0.0500066 | + | 0.0555379i | ||||
\(547\) | −24.2223 | + | 5.14862i | −1.03567 | + | 0.220139i | −0.694222 | − | 0.719761i | \(-0.744251\pi\) |
−0.341450 | + | 0.939900i | \(0.610918\pi\) | |||||||
\(548\) | −1.75734 | − | 16.7200i | −0.0750699 | − | 0.714242i | ||||
\(549\) | −4.28969 | + | 7.42996i | −0.183079 | + | 0.317103i | ||||
\(550\) | −11.8580 | − | 9.29850i | −0.505627 | − | 0.396489i | ||||
\(551\) | −1.47114 | + | 12.4303i | −0.0626729 | + | 0.529549i | ||||
\(552\) | 8.35828 | − | 6.07265i | 0.355752 | − | 0.258469i | ||||
\(553\) | 1.65344 | + | 1.83633i | 0.0703115 | + | 0.0780888i | ||||
\(554\) | 6.07813 | + | 6.75044i | 0.258235 | + | 0.286799i | ||||
\(555\) | 1.09869 | − | 0.212549i | 0.0466367 | − | 0.00902222i | ||||
\(556\) | −15.4426 | − | 3.28242i | −0.654911 | − | 0.139206i | ||||
\(557\) | 7.38594 | + | 12.7928i | 0.312952 | + | 0.542049i | 0.979000 | − | 0.203860i | \(-0.0653487\pi\) |
−0.666048 | + | 0.745909i | \(0.732015\pi\) | |||||||
\(558\) | 1.25153 | + | 3.85182i | 0.0529816 | + | 0.163060i | ||||
\(559\) | 1.40424 | + | 1.02024i | 0.0593930 | + | 0.0431515i | ||||
\(560\) | 0.508153 | + | 0.918658i | 0.0214734 | + | 0.0388204i | ||||
\(561\) | −4.22911 | − | 1.88292i | −0.178553 | − | 0.0794969i | ||||
\(562\) | −3.09647 | − | 2.24972i | −0.130617 | − | 0.0948986i | ||||
\(563\) | 0.856673 | + | 0.622409i | 0.0361044 | + | 0.0262314i | 0.605691 | − | 0.795700i | \(-0.292897\pi\) |
−0.569587 | + | 0.821931i | \(0.692897\pi\) | |||||||
\(564\) | −11.8644 | − | 5.28238i | −0.499582 | − | 0.222428i | ||||
\(565\) | 12.5801 | − | 20.8947i | 0.529250 | − | 0.879049i | ||||
\(566\) | 2.43831 | − | 23.1990i | 0.102490 | − | 0.975126i | ||||
\(567\) | −2.26149 | − | 0.480694i | −0.0949736 | − | 0.0201873i | ||||
\(568\) | −4.04662 | + | 7.00894i | −0.169792 | + | 0.294089i | ||||
\(569\) | 5.17193 | + | 15.9176i | 0.216819 | + | 0.667299i | 0.999019 | + | 0.0442729i | \(0.0140971\pi\) |
−0.782201 | + | 0.623026i | \(0.785903\pi\) | |||||||
\(570\) | −11.3576 | + | 7.71842i | −0.475716 | + | 0.323289i | ||||
\(571\) | −8.04800 | + | 24.7692i | −0.336799 | + | 1.03656i | 0.629031 | + | 0.777380i | \(0.283452\pi\) |
−0.965829 | + | 0.259179i | \(0.916548\pi\) | |||||||
\(572\) | −5.32389 | − | 5.91278i | −0.222603 | − | 0.247226i | ||||
\(573\) | 1.74538 | + | 16.6061i | 0.0729141 | + | 0.693732i | ||||
\(574\) | 0.881789 | + | 1.52730i | 0.0368052 | + | 0.0637484i | ||||
\(575\) | 35.5605 | + | 8.93345i | 1.48297 | + | 0.372551i | ||||
\(576\) | 0.507536 | + | 0.879079i | 0.0211474 | + | 0.0366283i | ||||
\(577\) | 36.1646 | − | 26.2751i | 1.50555 | − | 1.09385i | 0.537450 | − | 0.843296i | \(-0.319388\pi\) |
0.968103 | − | 0.250553i | \(-0.0806124\pi\) | |||||||
\(578\) | −4.88597 | + | 15.0375i | −0.203229 | + | 0.625476i | ||||
\(579\) | 10.2356 | − | 2.17565i | 0.425378 | − | 0.0904169i | ||||
\(580\) | −3.10802 | − | 5.61880i | −0.129054 | − | 0.233308i | ||||
\(581\) | −0.407053 | − | 1.25278i | −0.0168874 | − | 0.0519741i | ||||
\(582\) | −10.5945 | −0.439157 | ||||||||
\(583\) | 15.5490 | − | 17.2689i | 0.643973 | − | 0.715205i | ||||
\(584\) | 10.6750 | − | 4.75280i | 0.441733 | − | 0.196672i | ||||
\(585\) | −0.735556 | + | 5.94689i | −0.0304115 | + | 0.245874i | ||||
\(586\) | 1.18118 | + | 11.2382i | 0.0487941 | + | 0.464245i | ||||
\(587\) | −26.4049 | + | 11.7562i | −1.08985 | + | 0.485232i | −0.871378 | − | 0.490612i | \(-0.836773\pi\) |
−0.218470 | + | 0.975844i | \(0.570107\pi\) | |||||||
\(588\) | 7.72738 | + | 5.61427i | 0.318672 | + | 0.231528i | ||||
\(589\) | −17.3901 | − | 0.227539i | −0.716546 | − | 0.00937556i | ||||
\(590\) | −13.7207 | + | 9.58916i | −0.564872 | + | 0.394779i | ||||
\(591\) | 1.65931 | − | 0.738772i | 0.0682548 | − | 0.0303890i | ||||
\(592\) | 0.347456 | + | 0.0738541i | 0.0142804 | + | 0.00303539i | ||||
\(593\) | −0.220213 | − | 0.381419i | −0.00904305 | − | 0.0156630i | 0.861468 | − | 0.507811i | \(-0.169545\pi\) |
−0.870512 | + | 0.492148i | \(0.836212\pi\) | |||||||
\(594\) | 16.6757 | + | 3.54453i | 0.684212 | + | 0.145434i | ||||
\(595\) | −0.140502 | + | 1.13594i | −0.00576002 | + | 0.0465691i | ||||
\(596\) | 5.14258 | − | 15.8272i | 0.210648 | − | 0.648308i | ||||
\(597\) | −11.7265 | + | 36.0905i | −0.479934 | + | 1.47708i | ||||
\(598\) | 17.6857 | + | 7.87417i | 0.723221 | + | 0.321999i | ||||
\(599\) | 7.47102 | + | 12.9402i | 0.305258 | + | 0.528722i | 0.977319 | − | 0.211774i | \(-0.0679241\pi\) |
−0.672061 | + | 0.740496i | \(0.734591\pi\) | |||||||
\(600\) | 2.42109 | − | 6.61525i | 0.0988405 | − | 0.270066i | ||||
\(601\) | −2.61920 | −0.106840 | −0.0534198 | − | 0.998572i | \(-0.517012\pi\) | ||||
−0.0534198 | + | 0.998572i | \(0.517012\pi\) | |||||||
\(602\) | −0.281997 | − | 0.125553i | −0.0114934 | − | 0.00511717i | ||||
\(603\) | −3.15390 | − | 3.50277i | −0.128437 | − | 0.142644i | ||||
\(604\) | −4.05444 | + | 0.861797i | −0.164973 | + | 0.0350660i | ||||
\(605\) | 4.17590 | + | 0.967996i | 0.169774 | + | 0.0393546i | ||||
\(606\) | 3.02067 | + | 0.642063i | 0.122706 | + | 0.0260820i | ||||
\(607\) | −26.8794 | −1.09100 | −0.545500 | − | 0.838111i | \(-0.683660\pi\) | ||||
−0.545500 | + | 0.838111i | \(0.683660\pi\) | |||||||
\(608\) | −4.27514 | + | 0.850406i | −0.173380 | + | 0.0344885i | ||||
\(609\) | 1.53671 | + | 1.11648i | 0.0622706 | + | 0.0452422i | ||||
\(610\) | 18.4110 | + | 4.26777i | 0.745441 | + | 0.172797i | ||||
\(611\) | −2.54380 | − | 24.2026i | −0.102911 | − | 0.979134i | ||||
\(612\) | −0.115682 | + | 1.10064i | −0.00467615 | + | 0.0444906i | ||||
\(613\) | 29.0700 | − | 12.9428i | 1.17413 | − | 0.522754i | 0.275427 | − | 0.961322i | \(-0.411181\pi\) |
0.898698 | + | 0.438568i | \(0.144514\pi\) | |||||||
\(614\) | −23.1056 | − | 10.2873i | −0.932466 | − | 0.415161i | ||||
\(615\) | 3.86259 | − | 11.1854i | 0.155755 | − | 0.451040i | ||||
\(616\) | 1.14474 | + | 0.831703i | 0.0461229 | + | 0.0335103i | ||||
\(617\) | 5.87446 | − | 6.52425i | 0.236497 | − | 0.262656i | −0.613200 | − | 0.789927i | \(-0.710118\pi\) |
0.849697 | + | 0.527271i | \(0.176785\pi\) | |||||||
\(618\) | −4.07887 | − | 7.06481i | −0.164076 | − | 0.284188i | ||||
\(619\) | 3.77839 | + | 11.6287i | 0.151866 | + | 0.467396i | 0.997830 | − | 0.0658442i | \(-0.0209740\pi\) |
−0.845964 | + | 0.533241i | \(0.820974\pi\) | |||||||
\(620\) | 7.31277 | − | 5.11077i | 0.293688 | − | 0.205253i | ||||
\(621\) | −40.5749 | + | 8.62445i | −1.62821 | + | 0.346087i | ||||
\(622\) | −18.4203 | − | 20.4578i | −0.738586 | − | 0.820282i | ||||
\(623\) | −2.83873 | − | 1.26388i | −0.113731 | − | 0.0506364i | ||||
\(624\) | 1.85972 | − | 3.22112i | 0.0744482 | − | 0.128948i | ||||
\(625\) | 23.5226 | − | 8.46687i | 0.940904 | − | 0.338675i | ||||
\(626\) | −24.0906 | −0.962855 | ||||||||
\(627\) | −9.46298 | + | 15.9061i | −0.377915 | + | 0.635228i | ||||
\(628\) | −5.65720 | + | 17.4111i | −0.225747 | + | 0.694777i | ||||
\(629\) | 0.259143 | + | 0.287807i | 0.0103327 | + | 0.0114756i | ||||
\(630\) | −0.0919340 | − | 1.06169i | −0.00366274 | − | 0.0422986i | ||||
\(631\) | 32.3700 | − | 35.9505i | 1.28863 | − | 1.43117i | 0.443806 | − | 0.896123i | \(-0.353628\pi\) |
0.844823 | − | 0.535045i | \(-0.179705\pi\) | |||||||
\(632\) | 2.63155 | − | 4.55799i | 0.104678 | − | 0.181307i | ||||
\(633\) | −5.20151 | + | 5.77686i | −0.206741 | + | 0.229610i | ||||
\(634\) | −7.56744 | − | 5.49807i | −0.300541 | − | 0.218356i | ||||
\(635\) | −3.11324 | + | 9.01545i | −0.123545 | + | 0.357767i | ||||
\(636\) | 9.92385 | + | 4.41838i | 0.393506 | + | 0.175200i | ||||
\(637\) | −1.87086 | + | 17.8000i | −0.0741261 | + | 0.705263i | ||||
\(638\) | −7.00160 | − | 5.08696i | −0.277196 | − | 0.201395i | ||||
\(639\) | 6.64625 | − | 4.82879i | 0.262922 | − | 0.191024i | ||||
\(640\) | 1.52645 | − | 1.63400i | 0.0603382 | − | 0.0645895i | ||||
\(641\) | −26.6732 | + | 11.8757i | −1.05353 | + | 0.469061i | −0.859075 | − | 0.511850i | \(-0.828960\pi\) |
−0.194454 | + | 0.980912i | \(0.562294\pi\) | |||||||
\(642\) | 14.4647 | − | 16.0647i | 0.570878 | − | 0.634024i | ||||
\(643\) | 1.22051 | − | 2.11398i | 0.0481320 | − | 0.0833671i | −0.840956 | − | 0.541104i | \(-0.818007\pi\) |
0.889088 | + | 0.457737i | \(0.151340\pi\) | |||||||
\(644\) | −3.36765 | − | 0.715816i | −0.132704 | − | 0.0282071i | ||||
\(645\) | 0.603818 | + | 1.98130i | 0.0237753 | + | 0.0780137i | ||||
\(646\) | −4.31583 | − | 1.98959i | −0.169804 | − | 0.0782795i | ||||
\(647\) | 0.337248 | − | 1.03794i | 0.0132586 | − | 0.0408057i | −0.944208 | − | 0.329349i | \(-0.893171\pi\) |
0.957467 | + | 0.288543i | \(0.0931708\pi\) | |||||||
\(648\) | 0.514741 | + | 4.89743i | 0.0202209 | + | 0.192389i | ||||
\(649\) | −11.2808 | + | 19.5389i | −0.442810 | + | 0.766970i | ||||
\(650\) | 13.0035 | − | 2.26903i | 0.510040 | − | 0.0889987i | ||||
\(651\) | −1.31959 | + | 2.28560i | −0.0517190 | + | 0.0895799i | ||||
\(652\) | 2.85805 | + | 1.27248i | 0.111930 | + | 0.0498343i | ||||
\(653\) | 0.161632 | − | 0.497453i | 0.00632516 | − | 0.0194668i | −0.947844 | − | 0.318734i | \(-0.896742\pi\) |
0.954169 | + | 0.299267i | \(0.0967423\pi\) | |||||||
\(654\) | −4.57596 | + | 14.0834i | −0.178934 | + | 0.550703i | ||||
\(655\) | 2.83248 | − | 22.9002i | 0.110674 | − | 0.894787i | ||||
\(656\) | 2.51345 | − | 2.79147i | 0.0981336 | − | 0.108988i | ||||
\(657\) | −11.8613 | −0.462755 | ||||||||
\(658\) | 1.33740 | + | 4.11610i | 0.0521374 | + | 0.160462i | ||||
\(659\) | −1.82163 | + | 17.3316i | −0.0709605 | + | 0.675144i | 0.899998 | + | 0.435895i | \(0.143568\pi\) |
−0.970958 | + | 0.239249i | \(0.923099\pi\) | |||||||
\(660\) | −0.819085 | − | 9.45908i | −0.0318828 | − | 0.368194i | ||||
\(661\) | 41.0975 | + | 18.2978i | 1.59851 | + | 0.711701i | 0.996244 | − | 0.0865961i | \(-0.0275990\pi\) |
0.602264 | + | 0.798297i | \(0.294266\pi\) | |||||||
\(662\) | −0.913020 | + | 0.406503i | −0.0354855 | + | 0.0157992i | ||||
\(663\) | 3.70458 | − | 1.64939i | 0.143874 | − | 0.0640568i | ||||
\(664\) | −2.26982 | + | 1.64912i | −0.0880860 | + | 0.0639982i | ||||
\(665\) | 4.44402 | + | 1.09160i | 0.172332 | + | 0.0423306i | ||||
\(666\) | −0.291710 | − | 0.211939i | −0.0113035 | − | 0.00821249i | ||||
\(667\) | 20.5976 | + | 4.37816i | 0.797543 | + | 0.169523i | ||||
\(668\) | 1.33217 | − | 2.30739i | 0.0515433 | − | 0.0892756i | ||||
\(669\) | 5.52617 | − | 6.13744i | 0.213654 | − | 0.237287i | ||||
\(670\) | −5.35559 | + | 8.89526i | −0.206904 | + | 0.343654i | ||||
\(671\) | 24.9159 | − | 5.29604i | 0.961868 | − | 0.204451i | ||||
\(672\) | −0.204405 | + | 0.629092i | −0.00788507 | + | 0.0242678i | ||||
\(673\) | −5.29074 | + | 3.84395i | −0.203943 | + | 0.148173i | −0.685069 | − | 0.728478i | \(-0.740228\pi\) |
0.481126 | + | 0.876651i | \(0.340228\pi\) | |||||||
\(674\) | −3.83618 | − | 6.64445i | −0.147764 | − | 0.255935i | ||||
\(675\) | −19.6836 | + | 20.3106i | −0.757624 | + | 0.781755i | ||||
\(676\) | −6.03039 | −0.231938 | ||||||||
\(677\) | 2.23331 | − | 1.62260i | 0.0858331 | − | 0.0623614i | −0.544041 | − | 0.839059i | \(-0.683106\pi\) |
0.629874 | + | 0.776697i | \(0.283106\pi\) | |||||||
\(678\) | 15.0313 | − | 3.19499i | 0.577272 | − | 0.122703i | ||||
\(679\) | 2.36241 | + | 2.62373i | 0.0906611 | + | 0.100689i | ||||
\(680\) | 2.39353 | − | 0.463046i | 0.0917877 | − | 0.0177570i | ||||
\(681\) | 23.0485 | + | 4.89911i | 0.883220 | + | 0.187734i | ||||
\(682\) | 6.01238 | − | 10.4137i | 0.230226 | − | 0.398763i | ||||
\(683\) | 11.2977 | + | 34.7707i | 0.432293 | + | 1.33046i | 0.895835 | + | 0.444387i | \(0.146579\pi\) |
−0.463541 | + | 0.886075i | \(0.653421\pi\) | |||||||
\(684\) | 4.31551 | + | 0.976471i | 0.165007 | + | 0.0373363i | ||||
\(685\) | 37.5866 | + | 0.689520i | 1.43611 | + | 0.0263452i | ||||
\(686\) | −0.676248 | − | 6.43407i | −0.0258193 | − | 0.245654i | ||||
\(687\) | 18.3424 | − | 8.16655i | 0.699805 | − | 0.311573i | ||||
\(688\) | −0.0687248 | + | 0.653873i | −0.00262011 | + | 0.0249287i | ||||
\(689\) | 2.12773 | + | 20.2440i | 0.0810600 | + | 0.771235i | ||||
\(690\) | 11.1820 | + | 20.2152i | 0.425690 | + | 0.769578i | ||||
\(691\) | 4.62061 | + | 3.35707i | 0.175776 | + | 0.127709i | 0.672195 | − | 0.740375i | \(-0.265352\pi\) |
−0.496418 | + | 0.868083i | \(0.665352\pi\) | |||||||
\(692\) | 6.68774 | + | 20.5828i | 0.254230 | + | 0.782439i | ||||
\(693\) | −0.718153 | − | 1.24388i | −0.0272804 | − | 0.0472510i | ||||
\(694\) | −2.37991 | + | 2.64316i | −0.0903402 | + | 0.100333i | ||||
\(695\) | 11.5229 | − | 33.3686i | 0.437089 | − | 1.26574i | ||||
\(696\) | 1.25020 | − | 3.84773i | 0.0473888 | − | 0.145848i | ||||
\(697\) | 4.00586 | − | 0.851471i | 0.151733 | − | 0.0322518i | ||||
\(698\) | 3.06266 | + | 29.1393i | 0.115923 | + | 1.10294i | ||||
\(699\) | 2.82063 | + | 4.88547i | 0.106686 | + | 0.184785i | ||||
\(700\) | −2.17813 | + | 0.875516i | −0.0823254 | + | 0.0330914i | ||||
\(701\) | 25.4051 | − | 44.0029i | 0.959536 | − | 1.66197i | 0.235909 | − | 0.971775i | \(-0.424193\pi\) |
0.723627 | − | 0.690191i | \(-0.242473\pi\) | |||||||
\(702\) | −12.0817 | + | 8.77786i | −0.455994 | + | 0.331299i | ||||
\(703\) | 1.26445 | − | 0.893638i | 0.0476897 | − | 0.0337042i | ||||
\(704\) | 0.931314 | − | 2.86629i | 0.0351002 | − | 0.108027i | ||||
\(705\) | 14.9790 | − | 24.8791i | 0.564142 | − | 0.937001i | ||||
\(706\) | −29.6486 | − | 6.30200i | −1.11584 | − | 0.237179i | ||||
\(707\) | −0.514556 | − | 0.891237i | −0.0193519 | − | 0.0335184i | ||||
\(708\) | −10.3165 | − | 2.19284i | −0.387719 | − | 0.0824121i | ||||
\(709\) | −0.272859 | + | 2.59608i | −0.0102474 | + | 0.0974980i | −0.998450 | − | 0.0556538i | \(-0.982276\pi\) |
0.988203 | + | 0.153152i | \(0.0489423\pi\) | |||||||
\(710\) | −14.4432 | − | 10.9039i | −0.542045 | − | 0.409216i | ||||
\(711\) | −4.32212 | + | 3.14021i | −0.162092 | + | 0.117767i | ||||
\(712\) | −0.691819 | + | 6.58222i | −0.0259270 | + | 0.246679i | ||||
\(713\) | −3.05833 | + | 29.0980i | −0.114535 | + | 1.08973i | ||||
\(714\) | −0.583442 | + | 0.423896i | −0.0218348 | + | 0.0158639i | ||||
\(715\) | 14.5827 | − | 10.1916i | 0.545362 | − | 0.381144i | ||||
\(716\) | 1.78386 | − | 16.9723i | 0.0666660 | − | 0.634285i | ||||
\(717\) | 4.97085 | + | 1.05659i | 0.185640 | + | 0.0394590i | ||||
\(718\) | 12.4231 | + | 21.5174i | 0.463626 | + | 0.803024i | ||||
\(719\) | 39.3502 | + | 8.36414i | 1.46751 | + | 0.311930i | 0.871242 | − | 0.490853i | \(-0.163315\pi\) |
0.596271 | + | 0.802783i | \(0.296648\pi\) | |||||||
\(720\) | −2.09012 | + | 0.885012i | −0.0778943 | + | 0.0329824i | ||||
\(721\) | −0.840070 | + | 2.58547i | −0.0312859 | + | 0.0962880i | ||||
\(722\) | −9.92727 | + | 16.2003i | −0.369455 | + | 0.602912i | ||||
\(723\) | −19.9415 | + | 14.4884i | −0.741634 | + | 0.538828i | ||||
\(724\) | 1.07845 | − | 1.86793i | 0.0400804 | − | 0.0694212i | ||||
\(725\) | 13.3221 | − | 5.35493i | 0.494771 | − | 0.198877i | ||||
\(726\) | 1.35043 | + | 2.33902i | 0.0501192 | + | 0.0868091i | ||||
\(727\) | 3.01042 | + | 28.6422i | 0.111650 | + | 1.06228i | 0.896636 | + | 0.442768i | \(0.146003\pi\) |
−0.784986 | + | 0.619514i | \(0.787330\pi\) | |||||||
\(728\) | −1.21240 | + | 0.257703i | −0.0449344 | + | 0.00955110i | ||||
\(729\) | 8.93291 | − | 27.4927i | 0.330849 | − | 1.01825i | ||||
\(730\) | 7.61713 | + | 24.9940i | 0.281923 | + | 0.925069i | ||||
\(731\) | −0.479648 | + | 0.532703i | −0.0177404 | + | 0.0197027i | ||||
\(732\) | 5.95389 | + | 10.3124i | 0.220062 | + | 0.381159i | ||||
\(733\) | −4.94484 | − | 15.2187i | −0.182642 | − | 0.562114i | 0.817258 | − | 0.576272i | \(-0.195493\pi\) |
−0.999900 | + | 0.0141583i | \(0.995493\pi\) | |||||||
\(734\) | 0.667490 | + | 0.484960i | 0.0246375 | + | 0.0179002i | ||||
\(735\) | −14.5800 | + | 15.6072i | −0.537790 | + | 0.575682i | ||||
\(736\) | 0.766517 | + | 7.29292i | 0.0282542 | + | 0.268821i | ||||
\(737\) | −1.46281 | + | 13.9177i | −0.0538834 | + | 0.512666i | ||||
\(738\) | −3.48326 | + | 1.55085i | −0.128221 | + | 0.0570875i | ||||
\(739\) | −2.09108 | − | 19.8953i | −0.0769215 | − | 0.731860i | −0.963214 | − | 0.268734i | \(-0.913395\pi\) |
0.886293 | − | 0.463125i | \(-0.153272\pi\) | |||||||
\(740\) | −0.259264 | + | 0.750789i | −0.00953075 | + | 0.0275995i | ||||
\(741\) | −4.80782 | − | 15.4834i | −0.176620 | − | 0.568795i | ||||
\(742\) | −1.11865 | − | 3.44286i | −0.0410671 | − | 0.126391i | ||||
\(743\) | −15.4635 | + | 26.7835i | −0.567299 | + | 0.982591i | 0.429533 | + | 0.903051i | \(0.358678\pi\) |
−0.996832 | + | 0.0795396i | \(0.974655\pi\) | |||||||
\(744\) | 5.49843 | + | 1.16873i | 0.201582 | + | 0.0428477i | ||||
\(745\) | 33.7116 | + | 15.7565i | 1.23510 | + | 0.577273i | ||||
\(746\) | −13.2559 | − | 14.7221i | −0.485331 | − | 0.539015i | ||||
\(747\) | 2.78570 | − | 0.592119i | 0.101924 | − | 0.0216645i | ||||
\(748\) | 2.65830 | − | 1.93137i | 0.0971970 | − | 0.0706178i | ||||
\(749\) | −7.20383 | −0.263222 | ||||||||
\(750\) | 14.0157 | + | 7.18855i | 0.511782 | + | 0.262489i | ||||
\(751\) | −18.0341 | − | 31.2360i | −0.658075 | − | 1.13982i | −0.981113 | − | 0.193433i | \(-0.938038\pi\) |
0.323039 | − | 0.946386i | \(-0.395296\pi\) | |||||||
\(752\) | 7.45764 | − | 5.41830i | 0.271952 | − | 0.197585i | ||||
\(753\) | 8.01414 | − | 24.6650i | 0.292052 | − | 0.898842i | ||||
\(754\) | 7.41540 | − | 1.57619i | 0.270053 | − | 0.0574015i | ||||
\(755\) | −0.799593 | − | 9.23398i | −0.0291002 | − | 0.336059i | ||||
\(756\) | 1.77710 | − | 1.97367i | 0.0646326 | − | 0.0717818i | ||||
\(757\) | 25.3716 | − | 43.9449i | 0.922147 | − | 1.59721i | 0.126061 | − | 0.992022i | \(-0.459766\pi\) |
0.796086 | − | 0.605184i | \(-0.206900\pi\) | |||||||
\(758\) | 19.7013 | + | 4.18764i | 0.715583 | + | 0.152102i | ||||
\(759\) | 25.1901 | + | 18.3017i | 0.914344 | + | 0.664310i | ||||
\(760\) | −0.713736 | − | 9.72063i | −0.0258899 | − | 0.352604i | ||||
\(761\) | 5.52774 | − | 4.01613i | 0.200380 | − | 0.145585i | −0.483070 | − | 0.875582i | \(-0.660478\pi\) |
0.683451 | + | 0.729997i | \(0.260478\pi\) | |||||||
\(762\) | −5.48995 | + | 2.44428i | −0.198880 | + | 0.0885470i | ||||
\(763\) | 4.50810 | − | 2.00713i | 0.163204 | − | 0.0726632i | ||||
\(764\) | −10.8271 | − | 4.82054i | −0.391711 | − | 0.174401i | ||||
\(765\) | −2.41073 | − | 0.558821i | −0.0871602 | − | 0.0202042i | ||||
\(766\) | 0.0962097 | − | 0.915374i | 0.00347620 | − | 0.0330738i | ||||
\(767\) | −6.10721 | − | 18.7961i | −0.220519 | − | 0.678687i | ||||
\(768\) | 1.40887 | 0.0508384 | ||||||||
\(769\) | 7.99608 | − | 8.88054i | 0.288346 | − | 0.320241i | −0.581517 | − | 0.813534i | \(-0.697541\pi\) |
0.869863 | + | 0.493294i | \(0.164207\pi\) | |||||||
\(770\) | −2.15989 | + | 2.31207i | −0.0778371 | + | 0.0833213i | ||||
\(771\) | −3.88688 | + | 11.9626i | −0.139982 | + | 0.430822i | ||||
\(772\) | −2.29520 | + | 7.06389i | −0.0826059 | + | 0.254235i | ||||
\(773\) | −35.9206 | − | 15.9929i | −1.29197 | − | 0.575224i | −0.358386 | − | 0.933574i | \(-0.616673\pi\) |
−0.933587 | + | 0.358350i | \(0.883339\pi\) | |||||||
\(774\) | 0.333692 | − | 0.577972i | 0.0119943 | − | 0.0207748i | ||||
\(775\) | 9.33438 | + | 17.6310i | 0.335301 | + | 0.633325i | ||||
\(776\) | 3.75992 | − | 6.51238i | 0.134973 | − | 0.233781i | ||||
\(777\) | −0.0245606 | − | 0.233678i | −0.000881106 | − | 0.00838316i | ||||
\(778\) | −6.16453 | + | 18.9725i | −0.221009 | + | 0.680196i | ||||
\(779\) | −1.49828 | − | 16.3046i | −0.0536816 | − | 0.584172i | ||||
\(780\) | 6.63772 | + | 5.01114i | 0.237668 | + | 0.179428i | ||||
\(781\) | −23.8583 | − | 5.07125i | −0.853718 | − | 0.181463i | ||||
\(782\) | −3.99751 | + | 6.92389i | −0.142951 | + | 0.247598i | ||||
\(783\) | −10.8693 | + | 12.0716i | −0.388438 | + | 0.431404i | ||||
\(784\) | −6.19344 | + | 2.75750i | −0.221194 | + | 0.0984821i | ||||
\(785\) | −37.0851 | − | 17.3332i | −1.32362 | − | 0.618650i | ||||
\(786\) | 11.7620 | − | 8.54561i | 0.419537 | − | 0.304812i | ||||
\(787\) | −26.7158 | − | 19.4101i | −0.952314 | − | 0.691896i | −0.000960833 | − | 1.00000i | \(-0.500306\pi\) |
−0.951353 | + | 0.308103i | \(0.900306\pi\) | |||||||
\(788\) | −0.134759 | + | 1.28215i | −0.00480061 | + | 0.0456747i | ||||
\(789\) | −0.174160 | − | 0.0775412i | −0.00620027 | − | 0.00276054i | ||||
\(790\) | 9.39257 | + | 7.09092i | 0.334173 | + | 0.252284i | ||||
\(791\) | −4.14297 | − | 3.01005i | −0.147307 | − | 0.107025i | ||||
\(792\) | −2.04702 | + | 2.27344i | −0.0727377 | + | 0.0807833i | ||||
\(793\) | −11.1566 | + | 19.3238i | −0.396183 | + | 0.686210i | ||||
\(794\) | 24.6272 | − | 27.3512i | 0.873985 | − | 0.970659i | ||||
\(795\) | −12.5290 | + | 20.8098i | −0.444358 | + | 0.738048i | ||||
\(796\) | −18.0229 | − | 20.0165i | −0.638805 | − | 0.709465i | ||||
\(797\) | 11.6483 | − | 35.8499i | 0.412605 | − | 1.26987i | −0.501770 | − | 0.865001i | \(-0.667318\pi\) |
0.914375 | − | 0.404867i | \(-0.132682\pi\) | |||||||
\(798\) | 1.40884 | + | 2.51563i | 0.0498725 | + | 0.0890523i | ||||
\(799\) | 10.0502 | 0.355552 | ||||||||
\(800\) | 3.20712 | + | 3.83593i | 0.113389 | + | 0.135621i | ||||
\(801\) | 3.35912 | − | 5.81816i | 0.118689 | − | 0.205575i | ||||
\(802\) | 34.9405 | + | 15.5565i | 1.23379 | + | 0.549319i | ||||
\(803\) | 23.5647 | + | 26.1712i | 0.831579 | + | 0.923562i | ||||
\(804\) | −6.39907 | + | 1.36017i | −0.225678 | + | 0.0479693i | ||||
\(805\) | 2.51287 | − | 7.27687i | 0.0885670 | − | 0.256476i | ||||
\(806\) | 3.25499 | + | 10.0178i | 0.114652 | + | 0.352862i | ||||
\(807\) | 0.995464 | + | 1.72419i | 0.0350420 | + | 0.0606945i | ||||
\(808\) | −1.46669 | + | 1.62892i | −0.0515979 | + | 0.0573052i | ||||
\(809\) | 6.27738 | + | 4.56079i | 0.220701 | + | 0.160349i | 0.692642 | − | 0.721281i | \(-0.256447\pi\) |
−0.471941 | + | 0.881630i | \(0.656447\pi\) | |||||||
\(810\) | −11.0095 | − | 0.201967i | −0.386833 | − | 0.00709638i | ||||
\(811\) | −13.8701 | − | 6.17537i | −0.487045 | − | 0.216846i | 0.148497 | − | 0.988913i | \(-0.452557\pi\) |
−0.635542 | + | 0.772066i | \(0.719223\pi\) | |||||||
\(812\) | −1.23166 | + | 0.548371i | −0.0432229 | + | 0.0192441i | ||||
\(813\) | −4.32904 | + | 41.1880i | −0.151826 | + | 1.44453i | ||||
\(814\) | 0.111904 | + | 1.06469i | 0.00392222 | + | 0.0373174i | ||||
\(815\) | −3.60832 | + | 5.99318i | −0.126394 | + | 0.209932i | ||||
\(816\) | 1.24269 | + | 0.902866i | 0.0435028 | + | 0.0316066i | ||||
\(817\) | 1.88961 | + | 2.15466i | 0.0661091 | + | 0.0753820i | ||||
\(818\) | 15.7342 | 0.550134 | ||||||||
\(819\) | 1.23067 | + | 0.261587i | 0.0430031 | + | 0.00914059i | ||||
\(820\) | 5.50480 | + | 6.34394i | 0.192236 | + | 0.221540i | ||||
\(821\) | 3.02467 | − | 0.642913i | 0.105562 | − | 0.0224378i | −0.154828 | − | 0.987941i | \(-0.549482\pi\) |
0.260390 | + | 0.965504i | \(0.416149\pi\) | |||||||
\(822\) | 15.8491 | + | 17.6022i | 0.552801 | + | 0.613948i | ||||
\(823\) | −23.0863 | − | 10.2787i | −0.804739 | − | 0.358293i | −0.0372103 | − | 0.999307i | \(-0.511847\pi\) |
−0.767529 | + | 0.641015i | \(0.778514\pi\) | |||||||
\(824\) | 5.79025 | 0.201713 | ||||||||
\(825\) | 21.2160 | + | 0.778670i | 0.738647 | + | 0.0271098i | ||||
\(826\) | 1.75737 | + | 3.04385i | 0.0611466 | + | 0.105909i | ||||
\(827\) | 44.0218 | + | 19.5998i | 1.53079 | + | 0.681551i | 0.987446 | − | 0.157960i | \(-0.0504917\pi\) |
0.543343 | + | 0.839511i | \(0.317158\pi\) | |||||||
\(828\) | 2.30021 | − | 7.07930i | 0.0799377 | − | 0.246023i | ||||
\(829\) | 10.3717 | − | 31.9207i | 0.360223 | − | 1.10865i | −0.592696 | − | 0.805426i | \(-0.701936\pi\) |
0.952919 | − | 0.303226i | \(-0.0980636\pi\) | |||||||
\(830\) | −3.03663 | − | 5.48973i | −0.105403 | − | 0.190551i | ||||
\(831\) | −12.5180 | − | 2.66079i | −0.434245 | − | 0.0923017i | ||||
\(832\) | 1.32000 | + | 2.28631i | 0.0457628 | + | 0.0792635i | ||||
\(833\) | −7.23001 | − | 1.53679i | −0.250505 | − | 0.0532465i | ||||
\(834\) | 20.3197 | − | 9.04693i | 0.703615 | − | 0.313269i | ||||
\(835\) | 4.75480 | + | 3.58964i | 0.164547 | + | 0.124225i | ||||
\(836\) | −6.41901 | − | 11.4618i | −0.222006 | − | 0.396414i | ||||
\(837\) | −18.2594 | − | 13.2662i | −0.631136 | − | 0.458547i | ||||
\(838\) | −17.1210 | + | 7.62278i | −0.591437 | + | 0.263325i | ||||
\(839\) | −2.37453 | − | 22.5921i | −0.0819778 | − | 0.779967i | −0.955859 | − | 0.293827i | \(-0.905071\pi\) |
0.873881 | − | 0.486140i | \(-0.161596\pi\) | |||||||
\(840\) | −1.33995 | − | 0.626280i | −0.0462327 | − | 0.0216087i | ||||
\(841\) | −18.9596 | + | 8.44135i | −0.653779 | + | 0.291081i | ||||
\(842\) | 4.54355 | − | 5.04612i | 0.156581 | − | 0.173901i | ||||
\(843\) | 5.39240 | 0.185724 | ||||||||
\(844\) | −1.70502 | − | 5.24750i | −0.0586891 | − | 0.180626i | ||||
\(845\) | 1.65523 | − | 13.3824i | 0.0569418 | − | 0.460368i | ||||
\(846\) | −9.15262 | + | 1.94545i | −0.314674 | + | 0.0668860i | ||||
\(847\) | 0.278131 | − | 0.855998i | 0.00955668 | − | 0.0294124i | ||||
\(848\) | −6.23785 | + | 4.53207i | −0.214209 | + | 0.155632i | ||||
\(849\) | 16.4323 | + | 28.4615i | 0.563953 | + | 0.976796i | ||||
\(850\) | 0.370591 | + | 5.43872i | 0.0127112 | + | 0.186546i | ||||
\(851\) | −1.30243 | − | 2.25587i | −0.0446466 | − | 0.0773301i | ||||
\(852\) | −1.19187 | − | 11.3399i | −0.0408328 | − | 0.388498i | ||||
\(853\) | 2.26724 | + | 2.51803i | 0.0776290 | + | 0.0862157i | 0.780708 | − | 0.624896i | \(-0.214859\pi\) |
−0.703079 | + | 0.711112i | \(0.748192\pi\) | |||||||
\(854\) | 1.22624 | − | 3.77399i | 0.0419612 | − | 0.129143i | ||||
\(855\) | −3.35147 | + | 9.30876i | −0.114618 | + | 0.318353i | ||||
\(856\) | 4.74144 | + | 14.5926i | 0.162059 | + | 0.498766i | ||||
\(857\) | −20.5375 | + | 35.5720i | −0.701547 | + | 1.21512i | 0.266376 | + | 0.963869i | \(0.414174\pi\) |
−0.967923 | + | 0.251246i | \(0.919160\pi\) | |||||||
\(858\) | 10.9647 | + | 2.33061i | 0.374327 | + | 0.0795657i | ||||
\(859\) | −0.906358 | + | 8.62342i | −0.0309245 | + | 0.294227i | 0.968119 | + | 0.250492i | \(0.0805924\pi\) |
−0.999043 | + | 0.0437351i | \(0.986074\pi\) | |||||||
\(860\) | −1.43218 | − | 0.331988i | −0.0488371 | − | 0.0113207i | ||||
\(861\) | −2.26985 | − | 1.01060i | −0.0773563 | − | 0.0344412i | ||||
\(862\) | 4.75768 | + | 3.45665i | 0.162047 | + | 0.117734i | ||||
\(863\) | 33.4630 | + | 24.3123i | 1.13909 | + | 0.827601i | 0.986993 | − | 0.160764i | \(-0.0513958\pi\) |
0.152102 | + | 0.988365i | \(0.451396\pi\) | |||||||
\(864\) | −5.16768 | − | 2.30080i | −0.175808 | − | 0.0782748i | ||||
\(865\) | −47.5120 | + | 9.19156i | −1.61546 | + | 0.312522i | ||||
\(866\) | 10.1698 | + | 7.38882i | 0.345585 | + | 0.251082i | ||||
\(867\) | −6.88371 | − | 21.1859i | −0.233783 | − | 0.719511i | ||||
\(868\) | −0.936630 | − | 1.62229i | −0.0317913 | − | 0.0550641i | ||||
\(869\) | 15.5153 | + | 3.29788i | 0.526321 | + | 0.111873i | ||||
\(870\) | 8.19556 | + | 3.83053i | 0.277855 | + | 0.129867i | ||||
\(871\) | −8.20268 | − | 9.11000i | −0.277937 | − | 0.308681i | ||||
\(872\) | −7.03296 | − | 7.81090i | −0.238166 | − | 0.264510i | ||||
\(873\) | −6.17538 | + | 4.48668i | −0.209005 | + | 0.151851i | ||||
\(874\) | 25.6116 | + | 19.1248i | 0.866324 | + | 0.646906i | ||||
\(875\) | −1.34505 | − | 5.07392i | −0.0454710 | − | 0.171530i | ||||
\(876\) | −8.23150 | + | 14.2574i | −0.278116 | + | 0.481712i | ||||
\(877\) | 1.24094 | + | 11.8068i | 0.0419037 | + | 0.398687i | 0.995291 | + | 0.0969366i | \(0.0309044\pi\) |
−0.953387 | + | 0.301751i | \(0.902429\pi\) | |||||||
\(878\) | −37.7099 | + | 8.01549i | −1.27265 | + | 0.270510i | ||||
\(879\) | −10.6528 | − | 11.8312i | −0.359311 | − | 0.399055i | ||||
\(880\) | 6.10512 | + | 2.85348i | 0.205804 | + | 0.0961907i | ||||
\(881\) | −11.2289 | − | 34.5590i | −0.378311 | − | 1.16432i | −0.941218 | − | 0.337801i | \(-0.890317\pi\) |
0.562907 | − | 0.826521i | \(-0.309683\pi\) | |||||||
\(882\) | 6.88176 | 0.231721 | ||||||||
\(883\) | 2.08590 | − | 2.31662i | 0.0701960 | − | 0.0779605i | −0.707024 | − | 0.707190i | \(-0.749963\pi\) |
0.777220 | + | 0.629229i | \(0.216629\pi\) | |||||||
\(884\) | −0.300865 | + | 2.86254i | −0.0101192 | + | 0.0962775i | ||||
\(885\) | 7.69797 | − | 22.2921i | 0.258764 | − | 0.749340i | ||||
\(886\) | 5.02369 | − | 3.64992i | 0.168774 | − | 0.122622i | ||||
\(887\) | −2.93063 | + | 27.8831i | −0.0984008 | + | 0.936221i | 0.828265 | + | 0.560336i | \(0.189328\pi\) |
−0.926666 | + | 0.375885i | \(0.877339\pi\) | |||||||
\(888\) | −0.457192 | + | 0.203555i | −0.0153423 | + | 0.00683085i | ||||
\(889\) | 1.82950 | + | 0.814544i | 0.0613594 | + | 0.0273189i | ||||
\(890\) | −14.4171 | − | 3.34196i | −0.483262 | − | 0.112023i | ||||
\(891\) | −13.5581 | + | 6.03644i | −0.454213 | + | 0.202228i | ||||
\(892\) | 1.81144 | + | 5.57503i | 0.0606514 | + | 0.186666i | ||||
\(893\) | 4.72252 | − | 39.9025i | 0.158033 | − | 1.33529i | ||||
\(894\) | 7.24525 | + | 22.2986i | 0.242317 | + | 0.745776i | ||||
\(895\) | 37.1746 | + | 8.61726i | 1.24261 | + | 0.288043i | ||||
\(896\) | −0.314157 | − | 0.348907i | −0.0104952 | − | 0.0116562i | ||||
\(897\) | −26.6789 | + | 5.67078i | −0.890783 | + | 0.189342i | ||||
\(898\) | 1.43681 | + | 13.6703i | 0.0479469 | + | 0.456184i | ||||
\(899\) | 5.72873 | + | 9.92245i | 0.191064 | + | 0.330932i | ||||
\(900\) | −1.39028 | − | 4.88123i | −0.0463426 | − | 0.162708i | ||||
\(901\) | −8.40640 | −0.280058 | ||||||||
\(902\) | 10.3420 | + | 4.60454i | 0.344349 | + | 0.153314i | ||||
\(903\) | 0.425394 | − | 0.0904204i | 0.0141562 | − | 0.00300900i | ||||
\(904\) | −3.37055 | + | 10.3735i | −0.112103 | + | 0.345017i | ||||
\(905\) | 3.84922 | + | 2.90597i | 0.127953 | + | 0.0965977i | ||||
\(906\) | 3.90759 | − | 4.33982i | 0.129821 | − | 0.144181i | ||||
\(907\) | 22.8276 | − | 39.5386i | 0.757979 | − | 1.31286i | −0.185900 | − | 0.982569i | \(-0.559520\pi\) |
0.943880 | − | 0.330290i | \(-0.107146\pi\) | |||||||
\(908\) | −11.1912 | + | 12.4291i | −0.371393 | + | 0.412474i | ||||
\(909\) | 2.03261 | − | 0.904976i | 0.0674174 | − | 0.0300162i | ||||
\(910\) | −0.239102 | − | 2.76123i | −0.00792615 | − | 0.0915340i | ||||
\(911\) | 15.8495 | − | 11.5153i | 0.525117 | − | 0.381520i | −0.293411 | − | 0.955986i | \(-0.594791\pi\) |
0.818528 | + | 0.574467i | \(0.194791\pi\) | |||||||
\(912\) | 4.16858 | − | 4.50960i | 0.138036 | − | 0.149328i | ||||
\(913\) | −6.84076 | − | 4.97011i | −0.226396 | − | 0.164487i | ||||
\(914\) | 1.95202 | + | 18.5722i | 0.0645671 | + | 0.614315i | ||||
\(915\) | −24.5192 | + | 10.3820i | −0.810578 | + | 0.343220i | ||||
\(916\) | −1.48966 | + | 14.1732i | −0.0492198 | + | 0.468295i | ||||
\(917\) | −4.73906 | − | 1.00732i | −0.156498 | − | 0.0332646i | ||||
\(918\) | −3.08367 | − | 5.34107i | −0.101776 | − | 0.176282i | ||||
\(919\) | 1.64171 | + | 5.05267i | 0.0541550 | + | 0.166672i | 0.974476 | − | 0.224492i | \(-0.0720724\pi\) |
−0.920321 | + | 0.391164i | \(0.872072\pi\) | |||||||
\(920\) | −16.3945 | − | 0.300755i | −0.540512 | − | 0.00991559i | ||||
\(921\) | 34.8549 | − | 7.40864i | 1.14851 | − | 0.244123i | ||||
\(922\) | −14.7246 | + | 3.12981i | −0.484928 | + | 0.103075i | ||||
\(923\) | 17.2856 | − | 12.5587i | 0.568962 | − | 0.413375i | ||||
\(924\) | −1.99353 | −0.0655822 | ||||||||
\(925\) | −1.59495 | − | 0.781427i | −0.0524418 | − | 0.0256932i | ||||
\(926\) | −19.6103 | + | 33.9660i | −0.644434 | + | 1.11619i | ||||
\(927\) | −5.36939 | − | 2.39061i | −0.176354 | − | 0.0785178i | ||||
\(928\) | 1.92148 | + | 2.13402i | 0.0630758 | + | 0.0700528i | ||||
\(929\) | −22.4117 | − | 24.8907i | −0.735303 | − | 0.816637i | 0.253268 | − | 0.967396i | \(-0.418495\pi\) |
−0.988570 | + | 0.150760i | \(0.951828\pi\) | |||||||
\(930\) | −4.10281 | + | 11.8811i | −0.134537 | + | 0.389596i | ||||
\(931\) | −9.49883 | + | 27.9832i | −0.311312 | + | 0.917113i | ||||
\(932\) | −4.00408 | −0.131158 | ||||||||
\(933\) | 37.9369 | + | 8.06374i | 1.24200 | + | 0.263995i | ||||
\(934\) | −11.5179 | + | 5.12809i | −0.376877 | + | 0.167796i | ||||
\(935\) | 3.55635 | + | 6.42931i | 0.116305 | + | 0.210261i | ||||
\(936\) | −0.280115 | − | 2.66511i | −0.00915584 | − | 0.0871120i | ||||
\(937\) | −2.85453 | + | 27.1591i | −0.0932536 | + | 0.887249i | 0.843469 | + | 0.537177i | \(0.180509\pi\) |
−0.936723 | + | 0.350071i | \(0.886157\pi\) | |||||||
\(938\) | 1.76374 | + | 1.28143i | 0.0575881 | + | 0.0418402i | ||||
\(939\) | 27.4586 | − | 19.9498i | 0.896077 | − | 0.651038i | ||||
\(940\) | 9.97706 | + | 18.0369i | 0.325416 | + | 0.588299i | ||||
\(941\) | −1.66138 | + | 15.8070i | −0.0541596 | + | 0.515294i | 0.933489 | + | 0.358607i | \(0.116748\pi\) |
−0.987648 | + | 0.156687i | \(0.949919\pi\) | |||||||
\(942\) | −7.97028 | − | 24.5300i | −0.259686 | − | 0.799230i | ||||
\(943\) | −27.5452 | −0.896995 | ||||||||
\(944\) | 5.00919 | − | 5.56327i | 0.163035 | − | 0.181069i | ||||
\(945\) | 3.89211 | + | 4.48541i | 0.126610 | + | 0.145910i | ||||
\(946\) | −1.93819 | + | 0.411976i | −0.0630161 | + | 0.0133945i | ||||
\(947\) | 4.08012 | + | 4.53144i | 0.132586 | + | 0.147252i | 0.805782 | − | 0.592213i | \(-0.201745\pi\) |
−0.673196 | + | 0.739465i | \(0.735079\pi\) | |||||||
\(948\) | 0.775085 | + | 7.37444i | 0.0251736 | + | 0.239511i | ||||
\(949\) | −30.8490 | −1.00140 | ||||||||
\(950\) | 21.7675 | + | 1.08425i | 0.706231 | + | 0.0351776i | ||||
\(951\) | 13.1784 | 0.427340 | ||||||||
\(952\) | −0.0535060 | − | 0.509076i | −0.00173414 | − | 0.0164992i | ||||
\(953\) | 25.1621 | + | 27.9453i | 0.815081 | + | 0.905239i | 0.996947 | − | 0.0780846i | \(-0.0248804\pi\) |
−0.181866 | + | 0.983323i | \(0.558214\pi\) | |||||||
\(954\) | 7.65560 | − | 1.62725i | 0.247859 | − | 0.0526841i | ||||
\(955\) | 13.6694 | − | 22.7039i | 0.442331 | − | 0.734681i | ||||
\(956\) | −2.41360 | + | 2.68057i | −0.0780614 | + | 0.0866959i | ||||
\(957\) | 12.1930 | 0.394145 | ||||||||
\(958\) | 9.72944 | + | 29.9441i | 0.314344 | + | 0.967451i | ||||
\(959\) | 0.825072 | − | 7.85004i | 0.0266430 | − | 0.253491i | ||||
\(960\) | −0.386711 | + | 3.12651i | −0.0124810 | + | 0.100908i | ||||
\(961\) | 12.2005 | − | 8.86420i | 0.393565 | − | 0.285942i | ||||
\(962\) | −0.758679 | − | 0.551212i | −0.0244608 | − | 0.0177718i | ||||
\(963\) | 1.62802 | − | 15.4896i | 0.0524622 | − | 0.499144i | ||||
\(964\) | −1.82879 | − | 17.3997i | −0.0589013 | − | 0.560408i | ||||
\(965\) | −15.0459 | − | 7.03231i | −0.484344 | − | 0.226378i | ||||
\(966\) | 4.43124 | − | 1.97292i | 0.142573 | − | 0.0634775i | ||||
\(967\) | 13.5778 | + | 2.88606i | 0.436634 | + | 0.0928093i | 0.420984 | − | 0.907068i | \(-0.361685\pi\) |
0.0156498 | + | 0.999878i | \(0.495018\pi\) | |||||||
\(968\) | −1.91704 | −0.0616159 | ||||||||
\(969\) | 6.56681 | − | 1.30626i | 0.210956 | − | 0.0419632i | ||||
\(970\) | 13.4200 | + | 10.1314i | 0.430889 | + | 0.325300i | ||||
\(971\) | 3.69258 | + | 4.10103i | 0.118501 | + | 0.131608i | 0.799476 | − | 0.600698i | \(-0.205111\pi\) |
−0.680975 | + | 0.732306i | \(0.738444\pi\) | |||||||
\(972\) | 6.71294 | + | 7.45547i | 0.215318 | + | 0.239134i | ||||
\(973\) | −6.77145 | − | 3.01484i | −0.217083 | − | 0.0966514i | ||||
\(974\) | −15.5912 | + | 27.0048i | −0.499576 | + | 0.865290i | ||||
\(975\) | −12.9425 | + | 13.3547i | −0.414490 | + | 0.427692i | ||||
\(976\) | −8.45198 | −0.270541 | ||||||||
\(977\) | −10.8157 | + | 7.85808i | −0.346026 | + | 0.251402i | −0.747200 | − | 0.664599i | \(-0.768602\pi\) |
0.401174 | + | 0.916002i | \(0.368602\pi\) | |||||||
\(978\) | −4.31137 | + | 0.916411i | −0.137863 | + | 0.0293036i | ||||
\(979\) | −19.5108 | + | 4.14716i | −0.623569 | + | 0.132544i | ||||
\(980\) | −4.41934 | − | 14.5011i | −0.141170 | − | 0.463221i | ||||
\(981\) | 3.29691 | + | 10.1468i | 0.105262 | + | 0.323964i | ||||
\(982\) | −15.7728 | − | 27.3193i | −0.503330 | − | 0.871794i | ||||
\(983\) | −33.5322 | − | 7.12749i | −1.06951 | − | 0.227332i | −0.360666 | − | 0.932695i | \(-0.617451\pi\) |
−0.708846 | + | 0.705363i | \(0.750784\pi\) | |||||||
\(984\) | −0.553179 | + | 5.26315i | −0.0176347 | + | 0.167783i | ||||
\(985\) | −2.80831 | − | 0.650980i | −0.0894801 | − | 0.0207419i | ||||
\(986\) | 0.327260 | + | 3.11367i | 0.0104221 | + | 0.0991594i | ||||
\(987\) | −4.93298 | − | 3.58402i | −0.157019 | − | 0.114081i | ||||
\(988\) | 11.2238 | + | 2.53961i | 0.357076 | + | 0.0807956i | ||||
\(989\) | 3.90053 | − | 2.83390i | 0.124030 | − | 0.0901128i | ||||
\(990\) | −4.48326 | − | 5.16668i | −0.142487 | − | 0.164208i | ||||
\(991\) | −26.3346 | + | 11.7249i | −0.836547 | + | 0.372455i | −0.779873 | − | 0.625938i | \(-0.784716\pi\) |
−0.0566744 | + | 0.998393i | \(0.518050\pi\) | |||||||
\(992\) | −2.66977 | + | 2.96508i | −0.0847652 | + | 0.0941412i | ||||
\(993\) | 0.704032 | − | 1.21942i | 0.0223418 | − | 0.0386971i | ||||
\(994\) | −2.54255 | + | 2.82378i | −0.0806446 | + | 0.0895649i | ||||
\(995\) | 49.3666 | − | 34.5015i | 1.56503 | − | 1.09377i | ||||
\(996\) | 1.22148 | − | 3.75934i | 0.0387042 | − | 0.119119i | ||||
\(997\) | −20.1703 | + | 4.28733i | −0.638800 | + | 0.135781i | −0.515915 | − | 0.856640i | \(-0.672548\pi\) |
−0.122885 | + | 0.992421i | \(0.539215\pi\) | |||||||
\(998\) | −12.9853 | − | 5.78143i | −0.411043 | − | 0.183008i | ||||
\(999\) | 2.00938 | 0.0635739 |
(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 | 950.2.r.b.11.19 | ✓ | 200 | |
19.7 | even | 3 | inner | 950.2.r.b.311.7 | yes | 200 | |
25.16 | even | 5 | inner | 950.2.r.b.391.7 | yes | 200 | |
475.216 | even | 15 | inner | 950.2.r.b.691.19 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.r.b.11.19 | ✓ | 200 | 1.1 | even | 1 | trivial | |
950.2.r.b.311.7 | yes | 200 | 19.7 | even | 3 | inner | |
950.2.r.b.391.7 | yes | 200 | 25.16 | even | 5 | inner | |
950.2.r.b.691.19 | yes | 200 | 475.216 | even | 15 | inner |