Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 211.2 | ||
Character | \(\chi\) | \(=\) | 225.211 |
Dual form | 225.2.q.a.16.2 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.43895 | − | 1.08589i | −1.72460 | − | 0.767840i | −0.996612 | − | 0.0822469i | \(-0.973790\pi\) |
−0.727985 | − | 0.685593i | \(-0.759543\pi\) | |||||||
\(3\) | −1.70795 | + | 0.287957i | −0.986083 | + | 0.166252i | ||||
\(4\) | 3.43105 | + | 3.81057i | 1.71553 | + | 1.90528i | ||||
\(5\) | 0.156246 | + | 2.23060i | 0.0698755 | + | 0.997556i | ||||
\(6\) | 4.47828 | + | 1.15233i | 1.82825 | + | 0.470436i | ||||
\(7\) | 0.0677783 | + | 0.117395i | 0.0256178 | + | 0.0443713i | 0.878550 | − | 0.477650i | \(-0.158511\pi\) |
−0.852932 | + | 0.522022i | \(0.825178\pi\) | |||||||
\(8\) | −2.58030 | − | 7.94134i | −0.912272 | − | 2.80769i | ||||
\(9\) | 2.83416 | − | 0.983632i | 0.944720 | − | 0.327877i | ||||
\(10\) | 2.04111 | − | 5.60999i | 0.645456 | − | 1.77403i | ||||
\(11\) | −3.84795 | − | 1.71322i | −1.16020 | − | 0.516554i | −0.265891 | − | 0.964003i | \(-0.585666\pi\) |
−0.894310 | + | 0.447449i | \(0.852333\pi\) | |||||||
\(12\) | −6.95733 | − | 5.52025i | −2.00841 | − | 1.59356i | ||||
\(13\) | −1.38801 | + | 0.617982i | −0.384965 | + | 0.171398i | −0.590088 | − | 0.807339i | \(-0.700907\pi\) |
0.205123 | + | 0.978736i | \(0.434240\pi\) | |||||||
\(14\) | −0.0378292 | − | 0.359921i | −0.0101103 | − | 0.0961930i | ||||
\(15\) | −0.909179 | − | 3.76476i | −0.234749 | − | 0.972056i | ||||
\(16\) | −1.25824 | + | 11.9714i | −0.314560 | + | 2.99284i | ||||
\(17\) | 1.49050 | + | 4.58730i | 0.361500 | + | 1.11258i | 0.952144 | + | 0.305651i | \(0.0988741\pi\) |
−0.590643 | + | 0.806933i | \(0.701126\pi\) | |||||||
\(18\) | −7.98049 | − | 0.678560i | −1.88102 | − | 0.159938i | ||||
\(19\) | −0.0886646 | − | 0.272882i | −0.0203411 | − | 0.0626033i | 0.940371 | − | 0.340151i | \(-0.110478\pi\) |
−0.960712 | + | 0.277548i | \(0.910478\pi\) | |||||||
\(20\) | −7.96377 | + | 8.24870i | −1.78075 | + | 1.84447i | ||||
\(21\) | −0.149567 | − | 0.180988i | −0.0326381 | − | 0.0394948i | ||||
\(22\) | 7.52458 | + | 8.35690i | 1.60425 | + | 1.78170i | ||||
\(23\) | −0.581968 | − | 5.53705i | −0.121349 | − | 1.15456i | −0.870504 | − | 0.492161i | \(-0.836207\pi\) |
0.749155 | − | 0.662394i | \(-0.230460\pi\) | |||||||
\(24\) | 6.69377 | + | 12.8204i | 1.36636 | + | 2.61694i | ||||
\(25\) | −4.95117 | + | 0.697047i | −0.990235 | + | 0.139409i | ||||
\(26\) | 4.05635 | 0.795515 | ||||||||
\(27\) | −4.55735 | + | 2.49611i | −0.877063 | + | 0.480376i | ||||
\(28\) | −0.214793 | + | 0.661064i | −0.0405920 | + | 0.124929i | ||||
\(29\) | −4.07656 | + | 0.866500i | −0.756998 | + | 0.160905i | −0.570214 | − | 0.821496i | \(-0.693140\pi\) |
−0.186784 | + | 0.982401i | \(0.559806\pi\) | |||||||
\(30\) | −1.87067 | + | 10.1693i | −0.341536 | + | 1.85665i | ||||
\(31\) | −9.47469 | − | 2.01391i | −1.70170 | − | 0.361708i | −0.748290 | − | 0.663372i | \(-0.769125\pi\) |
−0.953414 | + | 0.301663i | \(0.902458\pi\) | |||||||
\(32\) | 7.71834 | − | 13.3686i | 1.36442 | − | 2.36325i | ||||
\(33\) | 7.06542 | + | 1.81804i | 1.22993 | + | 0.316480i | ||||
\(34\) | 1.34604 | − | 12.8067i | 0.230844 | − | 2.19633i | ||||
\(35\) | −0.251272 | + | 0.169529i | −0.0424728 | + | 0.0286556i | ||||
\(36\) | 13.4723 | + | 7.42487i | 2.24539 | + | 1.23748i | ||||
\(37\) | −8.14328 | − | 5.91644i | −1.33875 | − | 0.972657i | −0.999489 | − | 0.0319638i | \(-0.989824\pi\) |
−0.339258 | − | 0.940693i | \(-0.610176\pi\) | |||||||
\(38\) | −0.0800710 | + | 0.761824i | −0.0129892 | + | 0.123584i | ||||
\(39\) | 2.19270 | − | 1.45517i | 0.351112 | − | 0.233014i | ||||
\(40\) | 17.3108 | − | 6.99642i | 2.73708 | − | 1.10623i | ||||
\(41\) | −6.23965 | + | 2.77807i | −0.974470 | + | 0.433862i | −0.831293 | − | 0.555835i | \(-0.812399\pi\) |
−0.143177 | + | 0.989697i | \(0.545732\pi\) | |||||||
\(42\) | 0.168252 | + | 0.603833i | 0.0259619 | + | 0.0931734i | ||||
\(43\) | 2.22316 | + | 3.85063i | 0.339029 | + | 0.587216i | 0.984250 | − | 0.176780i | \(-0.0565682\pi\) |
−0.645221 | + | 0.763996i | \(0.723235\pi\) | |||||||
\(44\) | −6.67418 | − | 20.5410i | −1.00617 | − | 3.09667i | ||||
\(45\) | 2.63692 | + | 6.16820i | 0.393089 | + | 0.919501i | ||||
\(46\) | −4.59324 | + | 14.1365i | −0.677237 | + | 2.08432i | ||||
\(47\) | 6.81762 | − | 1.44913i | 0.994453 | − | 0.211377i | 0.318181 | − | 0.948030i | \(-0.396928\pi\) |
0.676272 | + | 0.736652i | \(0.263595\pi\) | |||||||
\(48\) | −1.29823 | − | 20.8087i | −0.187384 | − | 3.00348i | ||||
\(49\) | 3.49081 | − | 6.04626i | 0.498687 | − | 0.863752i | ||||
\(50\) | 12.8326 | + | 3.67637i | 1.81480 | + | 0.519917i | ||||
\(51\) | −3.86665 | − | 7.40566i | −0.541439 | − | 1.03700i | ||||
\(52\) | −7.11720 | − | 3.16878i | −0.986978 | − | 0.439431i | ||||
\(53\) | −1.22682 | + | 3.77578i | −0.168517 | + | 0.518643i | −0.999278 | − | 0.0379864i | \(-0.987906\pi\) |
0.830761 | + | 0.556629i | \(0.187906\pi\) | |||||||
\(54\) | 13.8256 | − | 1.13910i | 1.88143 | − | 0.155011i | ||||
\(55\) | 3.22028 | − | 8.85093i | 0.434222 | − | 1.19346i | ||||
\(56\) | 0.757388 | − | 0.841165i | 0.101210 | − | 0.112405i | ||||
\(57\) | 0.230013 | + | 0.440536i | 0.0304659 | + | 0.0583504i | ||||
\(58\) | 10.8834 | + | 2.31335i | 1.42907 | + | 0.303757i | ||||
\(59\) | 2.28974 | − | 1.01946i | 0.298098 | − | 0.132722i | −0.252237 | − | 0.967665i | \(-0.581166\pi\) |
0.550336 | + | 0.834943i | \(0.314500\pi\) | |||||||
\(60\) | 11.2264 | − | 16.3816i | 1.44933 | − | 2.11485i | ||||
\(61\) | −0.993544 | − | 0.442354i | −0.127210 | − | 0.0566377i | 0.342144 | − | 0.939647i | \(-0.388847\pi\) |
−0.469355 | + | 0.883010i | \(0.655513\pi\) | |||||||
\(62\) | 20.9214 | + | 15.2003i | 2.65702 | + | 1.93044i | ||||
\(63\) | 0.307568 | + | 0.266049i | 0.0387500 | + | 0.0335190i | ||||
\(64\) | −13.8646 | + | 10.0733i | −1.73308 | + | 1.25916i | ||||
\(65\) | −1.59535 | − | 2.99954i | −0.197878 | − | 0.372048i | ||||
\(66\) | −15.2580 | − | 12.1064i | −1.87813 | − | 1.49019i | ||||
\(67\) | −8.73827 | − | 1.85738i | −1.06755 | − | 0.226915i | −0.359548 | − | 0.933126i | \(-0.617069\pi\) |
−0.708001 | + | 0.706212i | \(0.750403\pi\) | |||||||
\(68\) | −12.3662 | + | 21.4189i | −1.49963 | + | 2.59743i | ||||
\(69\) | 2.58841 | + | 9.28941i | 0.311607 | + | 1.11831i | ||||
\(70\) | 0.796930 | − | 0.140618i | 0.0952514 | − | 0.0168071i | ||||
\(71\) | −0.994371 | + | 3.06036i | −0.118010 | + | 0.363198i | −0.992563 | − | 0.121732i | \(-0.961155\pi\) |
0.874553 | + | 0.484930i | \(0.161155\pi\) | |||||||
\(72\) | −15.1243 | − | 19.9690i | −1.78242 | − | 2.35336i | ||||
\(73\) | −2.15376 | + | 1.56480i | −0.252079 | + | 0.183146i | −0.706647 | − | 0.707566i | \(-0.749793\pi\) |
0.454569 | + | 0.890712i | \(0.349793\pi\) | |||||||
\(74\) | 13.4364 | + | 23.2726i | 1.56195 | + | 2.70539i | ||||
\(75\) | 8.25562 | − | 2.61625i | 0.953277 | − | 0.302098i | ||||
\(76\) | 0.735621 | − | 1.27413i | 0.0843816 | − | 0.146153i | ||||
\(77\) | −0.0596835 | − | 0.567851i | −0.00680157 | − | 0.0647126i | ||||
\(78\) | −6.92803 | + | 1.16806i | −0.784445 | + | 0.132256i | ||||
\(79\) | −3.63910 | + | 0.773514i | −0.409431 | + | 0.0870272i | −0.408023 | − | 0.912972i | \(-0.633782\pi\) |
−0.00140804 | + | 0.999999i | \(0.500448\pi\) | |||||||
\(80\) | −26.8999 | − | 0.936151i | −3.00750 | − | 0.104665i | ||||
\(81\) | 7.06494 | − | 5.57554i | 0.784993 | − | 0.619504i | ||||
\(82\) | 18.2349 | 2.01370 | ||||||||
\(83\) | −0.682979 | + | 0.758525i | −0.0749667 | + | 0.0832589i | −0.779461 | − | 0.626450i | \(-0.784507\pi\) |
0.704495 | + | 0.709709i | \(0.251174\pi\) | |||||||
\(84\) | 0.176496 | − | 1.19091i | 0.0192573 | − | 0.129939i | ||||
\(85\) | −9.99956 | + | 4.04147i | −1.08460 | + | 0.438359i | ||||
\(86\) | −1.24082 | − | 11.8056i | −0.133801 | − | 1.27303i | ||||
\(87\) | 6.71303 | − | 2.65381i | 0.719712 | − | 0.284518i | ||||
\(88\) | −3.67638 | + | 34.9785i | −0.391904 | + | 3.72872i | ||||
\(89\) | 5.75217 | − | 4.17920i | 0.609729 | − | 0.442994i | −0.239590 | − | 0.970874i | \(-0.577013\pi\) |
0.849319 | + | 0.527880i | \(0.177013\pi\) | |||||||
\(90\) | 0.266675 | − | 17.9073i | 0.0281100 | − | 1.88760i | ||||
\(91\) | −0.166625 | − | 0.121060i | −0.0174671 | − | 0.0126906i | ||||
\(92\) | 19.1026 | − | 21.2155i | 1.99158 | − | 2.21187i | ||||
\(93\) | 16.7622 | + | 0.711339i | 1.73816 | + | 0.0737624i | ||||
\(94\) | −18.2014 | − | 3.86883i | −1.87733 | − | 0.399040i | ||||
\(95\) | 0.594837 | − | 0.240412i | 0.0610290 | − | 0.0246658i | ||||
\(96\) | −9.33293 | + | 25.0553i | −0.952538 | + | 2.55720i | ||||
\(97\) | −2.06543 | + | 0.439021i | −0.209713 | + | 0.0445758i | −0.311570 | − | 0.950223i | \(-0.600855\pi\) |
0.101857 | + | 0.994799i | \(0.467522\pi\) | |||||||
\(98\) | −15.0795 | + | 10.9559i | −1.52326 | + | 1.10671i | ||||
\(99\) | −12.5909 | − | 1.07057i | −1.26543 | − | 0.107596i | ||||
\(100\) | −19.6439 | − | 16.4752i | −1.96439 | − | 1.64752i | ||||
\(101\) | 5.35748 | + | 9.27942i | 0.533089 | + | 0.923337i | 0.999253 | + | 0.0386390i | \(0.0123022\pi\) |
−0.466164 | + | 0.884698i | \(0.654364\pi\) | |||||||
\(102\) | 1.38882 | + | 22.2608i | 0.137514 | + | 2.20415i | ||||
\(103\) | 7.81798 | + | 8.68274i | 0.770328 | + | 0.855536i | 0.992847 | − | 0.119392i | \(-0.0380946\pi\) |
−0.222519 | + | 0.974928i | \(0.571428\pi\) | |||||||
\(104\) | 8.48909 | + | 9.42809i | 0.832423 | + | 0.924500i | ||||
\(105\) | 0.380343 | − | 0.361902i | 0.0371176 | − | 0.0353180i | ||||
\(106\) | 7.09224 | − | 7.87673i | 0.688859 | − | 0.765056i | ||||
\(107\) | −16.9444 | −1.63808 | −0.819040 | − | 0.573736i | \(-0.805494\pi\) | ||||
−0.819040 | + | 0.573736i | \(0.805494\pi\) | |||||||
\(108\) | −25.1481 | − | 8.80183i | −2.41988 | − | 0.846956i | ||||
\(109\) | 12.8760 | + | 9.35498i | 1.23330 | + | 0.896045i | 0.997133 | − | 0.0756679i | \(-0.0241089\pi\) |
0.236167 | + | 0.971713i | \(0.424109\pi\) | |||||||
\(110\) | −17.4652 | + | 18.0901i | −1.66524 | + | 1.72482i | ||||
\(111\) | 15.6120 | + | 7.76005i | 1.48182 | + | 0.736551i | ||||
\(112\) | −1.49066 | + | 0.663686i | −0.140854 | + | 0.0627124i | ||||
\(113\) | 5.23305 | − | 2.32990i | 0.492284 | − | 0.219179i | −0.145553 | − | 0.989350i | \(-0.546496\pi\) |
0.637837 | + | 0.770172i | \(0.279829\pi\) | |||||||
\(114\) | −0.0826160 | − | 1.32421i | −0.00773770 | − | 0.124024i | ||||
\(115\) | 12.2600 | − | 2.16328i | 1.14325 | − | 0.201727i | ||||
\(116\) | −17.2887 | − | 12.5610i | −1.60522 | − | 1.16626i | ||||
\(117\) | −3.32598 | + | 3.11675i | −0.307487 | + | 0.288144i | ||||
\(118\) | −6.69157 | −0.616009 | ||||||||
\(119\) | −0.437504 | + | 0.485898i | −0.0401060 | + | 0.0445422i | ||||
\(120\) | −27.5512 | + | 16.9343i | −2.51507 | + | 1.54588i | ||||
\(121\) | 4.51116 | + | 5.01015i | 0.410106 | + | 0.455468i | ||||
\(122\) | 1.94285 | + | 2.15776i | 0.175898 | + | 0.195354i | ||||
\(123\) | 9.85702 | − | 6.54155i | 0.888778 | − | 0.589832i | ||||
\(124\) | −24.8340 | − | 43.0138i | −2.23016 | − | 3.86275i | ||||
\(125\) | −2.32844 | − | 10.9352i | −0.208262 | − | 0.978073i | ||||
\(126\) | −0.461244 | − | 0.982865i | −0.0410909 | − | 0.0875605i | ||||
\(127\) | 8.56598 | − | 6.22355i | 0.760108 | − | 0.552251i | −0.138835 | − | 0.990315i | \(-0.544336\pi\) |
0.898944 | + | 0.438065i | \(0.144336\pi\) | |||||||
\(128\) | 14.5549 | − | 3.09374i | 1.28648 | − | 0.273451i | ||||
\(129\) | −4.90586 | − | 5.93649i | −0.431937 | − | 0.522679i | ||||
\(130\) | 0.633790 | + | 9.04810i | 0.0555871 | + | 0.793571i | ||||
\(131\) | −14.0896 | − | 2.99484i | −1.23102 | − | 0.261661i | −0.453920 | − | 0.891042i | \(-0.649975\pi\) |
−0.777096 | + | 0.629382i | \(0.783308\pi\) | |||||||
\(132\) | 17.3141 | + | 33.1611i | 1.50700 | + | 2.88630i | ||||
\(133\) | 0.0260255 | − | 0.0289043i | 0.00225670 | − | 0.00250632i | ||||
\(134\) | 19.2953 | + | 14.0188i | 1.66686 | + | 1.21104i | ||||
\(135\) | −6.27989 | − | 9.77563i | −0.540487 | − | 0.841352i | ||||
\(136\) | 32.5833 | − | 23.6732i | 2.79400 | − | 2.02996i | ||||
\(137\) | −0.657469 | + | 6.25540i | −0.0561714 | + | 0.534435i | 0.929865 | + | 0.367902i | \(0.119924\pi\) |
−0.986036 | + | 0.166533i | \(0.946743\pi\) | |||||||
\(138\) | 3.77429 | − | 25.4671i | 0.321289 | − | 2.16790i | ||||
\(139\) | 1.27730 | + | 12.1527i | 0.108339 | + | 1.03078i | 0.904726 | + | 0.425993i | \(0.140075\pi\) |
−0.796387 | + | 0.604787i | \(0.793258\pi\) | |||||||
\(140\) | −1.50813 | − | 0.375828i | −0.127460 | − | 0.0317633i | ||||
\(141\) | −11.2268 | + | 4.43822i | −0.945471 | + | 0.373766i | ||||
\(142\) | 5.74843 | − | 6.38428i | 0.482398 | − | 0.535757i | ||||
\(143\) | 6.39974 | 0.535173 | ||||||||
\(144\) | 8.20934 | + | 35.1664i | 0.684112 | + | 2.93053i | ||||
\(145\) | −2.56976 | − | 8.95780i | −0.213407 | − | 0.743905i | ||||
\(146\) | 6.95211 | − | 1.47772i | 0.575360 | − | 0.122297i | ||||
\(147\) | −4.22105 | + | 11.3319i | −0.348147 | + | 0.934639i | ||||
\(148\) | −5.39502 | − | 51.3302i | −0.443468 | − | 4.21931i | ||||
\(149\) | 1.29104 | − | 2.23615i | 0.105766 | − | 0.183193i | −0.808285 | − | 0.588792i | \(-0.799604\pi\) |
0.914051 | + | 0.405599i | \(0.132937\pi\) | |||||||
\(150\) | −22.9760 | − | 2.58380i | −1.87598 | − | 0.210967i | ||||
\(151\) | −0.949443 | − | 1.64448i | −0.0772646 | − | 0.133826i | 0.824804 | − | 0.565418i | \(-0.191285\pi\) |
−0.902069 | + | 0.431592i | \(0.857952\pi\) | |||||||
\(152\) | −1.93826 | + | 1.40823i | −0.157214 | + | 0.114223i | ||||
\(153\) | 8.73654 | + | 11.5350i | 0.706308 | + | 0.932553i | ||||
\(154\) | −0.471058 | + | 1.44977i | −0.0379590 | + | 0.116826i | ||||
\(155\) | 3.01184 | − | 21.4489i | 0.241917 | − | 1.72282i | ||||
\(156\) | 13.0683 | + | 3.36266i | 1.04630 | + | 0.269228i | ||||
\(157\) | −4.79460 | + | 8.30449i | −0.382651 | + | 0.662771i | −0.991440 | − | 0.130561i | \(-0.958322\pi\) |
0.608789 | + | 0.793332i | \(0.291655\pi\) | |||||||
\(158\) | 9.71552 | + | 2.06510i | 0.772926 | + | 0.164290i | ||||
\(159\) | 1.00809 | − | 6.80210i | 0.0799465 | − | 0.539442i | ||||
\(160\) | 31.0259 | + | 15.1278i | 2.45281 | + | 1.19595i | ||||
\(161\) | 0.610580 | − | 0.443612i | 0.0481205 | − | 0.0349616i | ||||
\(162\) | −23.2854 | + | 5.92671i | −1.82948 | + | 0.465646i | ||||
\(163\) | −2.81593 | − | 2.04590i | −0.220561 | − | 0.160247i | 0.472018 | − | 0.881589i | \(-0.343526\pi\) |
−0.692579 | + | 0.721342i | \(0.743526\pi\) | |||||||
\(164\) | −31.9946 | − | 14.2449i | −2.49836 | − | 1.11234i | ||||
\(165\) | −2.95137 | + | 16.0442i | −0.229764 | + | 1.24904i | ||||
\(166\) | 2.48943 | − | 1.10836i | 0.193217 | − | 0.0860257i | ||||
\(167\) | 3.16977 | + | 0.673754i | 0.245284 | + | 0.0521367i | 0.328913 | − | 0.944360i | \(-0.393318\pi\) |
−0.0836291 | + | 0.996497i | \(0.526651\pi\) | |||||||
\(168\) | −1.05136 | + | 1.65476i | −0.0811141 | + | 0.127668i | ||||
\(169\) | −7.15402 | + | 7.94535i | −0.550310 | + | 0.611181i | ||||
\(170\) | 28.7770 | + | 1.00148i | 2.20709 | + | 0.0768097i | ||||
\(171\) | −0.519705 | − | 0.686177i | −0.0397428 | − | 0.0524733i | ||||
\(172\) | −7.04530 | + | 21.6832i | −0.537199 | + | 1.65333i | ||||
\(173\) | 8.06575 | + | 3.59110i | 0.613228 | + | 0.273026i | 0.689757 | − | 0.724041i | \(-0.257717\pi\) |
−0.0765296 | + | 0.997067i | \(0.524384\pi\) | |||||||
\(174\) | −19.2545 | − | 0.817105i | −1.45968 | − | 0.0619446i | ||||
\(175\) | −0.417412 | − | 0.534001i | −0.0315534 | − | 0.0403666i | ||||
\(176\) | 25.3512 | − | 43.9095i | 1.91092 | − | 3.30980i | ||||
\(177\) | −3.61719 | + | 2.40052i | −0.271885 | + | 0.180434i | ||||
\(178\) | −18.5674 | + | 3.94662i | −1.39169 | + | 0.295812i | ||||
\(179\) | −2.38835 | + | 7.35058i | −0.178513 | + | 0.549408i | −0.999776 | − | 0.0211418i | \(-0.993270\pi\) |
0.821263 | + | 0.570550i | \(0.193270\pi\) | |||||||
\(180\) | −14.4569 | + | 31.2116i | −1.07756 | + | 2.32637i | ||||
\(181\) | 5.40260 | + | 16.6275i | 0.401572 | + | 1.23591i | 0.923724 | + | 0.383059i | \(0.125129\pi\) |
−0.522152 | + | 0.852852i | \(0.674871\pi\) | |||||||
\(182\) | 0.274932 | + | 0.476197i | 0.0203793 | + | 0.0352981i | ||||
\(183\) | 1.82430 | + | 0.469419i | 0.134856 | + | 0.0347005i | ||||
\(184\) | −42.4700 | + | 18.9088i | −3.13093 | + | 1.39398i | ||||
\(185\) | 11.9249 | − | 19.0888i | 0.876734 | − | 1.40344i | ||||
\(186\) | −40.1097 | − | 19.9368i | −2.94098 | − | 1.46184i | ||||
\(187\) | 2.12366 | − | 20.2053i | 0.155297 | − | 1.47755i | ||||
\(188\) | 28.9136 | + | 21.0070i | 2.10874 | + | 1.53209i | ||||
\(189\) | −0.601921 | − | 0.365830i | −0.0437833 | − | 0.0266102i | ||||
\(190\) | −1.71184 | − | 0.0595741i | −0.124190 | − | 0.00432196i | ||||
\(191\) | 1.35520 | − | 12.8939i | 0.0980588 | − | 0.932967i | −0.829302 | − | 0.558800i | \(-0.811262\pi\) |
0.927361 | − | 0.374167i | \(-0.122071\pi\) | |||||||
\(192\) | 20.7794 | − | 21.1970i | 1.49962 | − | 1.52976i | ||||
\(193\) | −5.50484 | + | 9.53467i | −0.396247 | + | 0.686321i | −0.993260 | − | 0.115912i | \(-0.963021\pi\) |
0.597012 | + | 0.802232i | \(0.296354\pi\) | |||||||
\(194\) | 5.51421 | + | 1.17208i | 0.395897 | + | 0.0841505i | ||||
\(195\) | 3.58850 | + | 4.66367i | 0.256978 | + | 0.333972i | ||||
\(196\) | 35.0169 | − | 7.44306i | 2.50120 | − | 0.531647i | ||||
\(197\) | −2.44849 | + | 7.53567i | −0.174447 | + | 0.536894i | −0.999608 | − | 0.0280045i | \(-0.991085\pi\) |
0.825160 | + | 0.564899i | \(0.191085\pi\) | |||||||
\(198\) | 29.5460 | + | 16.2834i | 2.09974 | + | 1.15721i | ||||
\(199\) | 16.8130 | 1.19184 | 0.595919 | − | 0.803044i | \(-0.296788\pi\) | ||||
0.595919 | + | 0.803044i | \(0.296788\pi\) | |||||||
\(200\) | 18.3110 | + | 37.5203i | 1.29478 | + | 2.65309i | ||||
\(201\) | 15.4593 | + | 0.656050i | 1.09042 | + | 0.0462742i | ||||
\(202\) | −2.99018 | − | 28.4497i | −0.210388 | − | 2.00171i | ||||
\(203\) | −0.378025 | − | 0.419840i | −0.0265322 | − | 0.0294670i | ||||
\(204\) | 14.9531 | − | 40.1433i | 1.04693 | − | 2.81060i | ||||
\(205\) | −7.17170 | − | 13.4841i | −0.500893 | − | 0.941772i | ||||
\(206\) | −9.63914 | − | 29.6662i | −0.671591 | − | 2.06694i | ||||
\(207\) | −7.09581 | − | 15.1205i | −0.493193 | − | 1.05094i | ||||
\(208\) | −5.65163 | − | 17.3939i | −0.391870 | − | 1.20605i | ||||
\(209\) | −0.126329 | + | 1.20194i | −0.00873833 | + | 0.0831397i | ||||
\(210\) | −1.32062 | + | 0.469651i | −0.0911316 | + | 0.0324090i | ||||
\(211\) | 0.579817 | + | 5.51659i | 0.0399163 | + | 0.379778i | 0.996184 | + | 0.0872836i | \(0.0278186\pi\) |
−0.956267 | + | 0.292494i | \(0.905515\pi\) | |||||||
\(212\) | −18.5972 | + | 8.27999i | −1.27726 | + | 0.568672i | ||||
\(213\) | 0.817079 | − | 5.51327i | 0.0559853 | − | 0.377763i | ||||
\(214\) | 41.3266 | + | 18.3998i | 2.82503 | + | 1.25778i | ||||
\(215\) | −8.24186 | + | 5.56064i | −0.562090 | + | 0.379232i | ||||
\(216\) | 31.5817 | + | 29.7508i | 2.14887 | + | 2.02428i | ||||
\(217\) | −0.405755 | − | 1.24878i | −0.0275444 | − | 0.0847730i | ||||
\(218\) | −21.2455 | − | 36.7983i | −1.43893 | − | 2.49229i | ||||
\(219\) | 3.22791 | − | 3.29278i | 0.218122 | − | 0.222506i | ||||
\(220\) | 44.7760 | − | 18.0969i | 3.01880 | − | 1.22009i | ||||
\(221\) | −4.90371 | − | 5.44612i | −0.329859 | − | 0.366346i | ||||
\(222\) | −29.6502 | − | 35.8792i | −1.98999 | − | 2.40806i | ||||
\(223\) | −0.394418 | − | 0.175606i | −0.0264122 | − | 0.0117595i | 0.393488 | − | 0.919330i | \(-0.371268\pi\) |
−0.419900 | + | 0.907570i | \(0.637935\pi\) | |||||||
\(224\) | 2.09254 | 0.139814 | ||||||||
\(225\) | −13.3468 | + | 6.84568i | −0.889786 | + | 0.456378i | ||||
\(226\) | −15.2932 | −1.01729 | ||||||||
\(227\) | 3.42683 | + | 1.52572i | 0.227447 | + | 0.101266i | 0.517296 | − | 0.855806i | \(-0.326939\pi\) |
−0.289849 | + | 0.957072i | \(0.593605\pi\) | |||||||
\(228\) | −0.889506 | + | 2.38798i | −0.0589089 | + | 0.158148i | ||||
\(229\) | −8.37065 | − | 9.29655i | −0.553148 | − | 0.614333i | 0.400119 | − | 0.916463i | \(-0.368969\pi\) |
−0.953267 | + | 0.302130i | \(0.902302\pi\) | |||||||
\(230\) | −32.2507 | − | 8.03691i | −2.12655 | − | 0.529938i | ||||
\(231\) | 0.265453 | + | 0.952672i | 0.0174655 | + | 0.0626812i | ||||
\(232\) | 17.3999 | + | 30.1375i | 1.14236 | + | 1.97862i | ||||
\(233\) | −3.16431 | − | 9.73874i | −0.207301 | − | 0.638006i | −0.999611 | − | 0.0278877i | \(-0.991122\pi\) |
0.792310 | − | 0.610118i | \(-0.208878\pi\) | |||||||
\(234\) | 11.4963 | − | 3.98995i | 0.751540 | − | 0.260831i | ||||
\(235\) | 4.29766 | + | 14.9810i | 0.280349 | + | 0.977252i | ||||
\(236\) | 11.7409 | + | 5.22739i | 0.764269 | + | 0.340274i | ||||
\(237\) | 5.99265 | − | 2.36903i | 0.389264 | − | 0.153885i | ||||
\(238\) | 1.59468 | − | 0.709998i | 0.103368 | − | 0.0460223i | ||||
\(239\) | 3.03062 | + | 28.8345i | 0.196035 | + | 1.86515i | 0.443534 | + | 0.896258i | \(0.353725\pi\) |
−0.247499 | + | 0.968888i | \(0.579609\pi\) | |||||||
\(240\) | 46.2132 | − | 6.14714i | 2.98305 | − | 0.396796i | ||||
\(241\) | −1.07447 | + | 10.2229i | −0.0692130 | + | 0.658517i | 0.903830 | + | 0.427892i | \(0.140744\pi\) |
−0.973043 | + | 0.230625i | \(0.925923\pi\) | |||||||
\(242\) | −5.56202 | − | 17.1181i | −0.357540 | − | 1.10040i | ||||
\(243\) | −10.4610 | + | 11.5571i | −0.671075 | + | 0.741390i | ||||
\(244\) | −1.72328 | − | 5.30371i | −0.110322 | − | 0.339535i | ||||
\(245\) | 14.0322 | + | 6.84191i | 0.896487 | + | 0.437113i | ||||
\(246\) | −31.1442 | + | 5.25087i | −1.98568 | + | 0.334783i | ||||
\(247\) | 0.291704 | + | 0.323970i | 0.0185607 | + | 0.0206137i | ||||
\(248\) | 8.45439 | + | 80.4382i | 0.536854 | + | 5.10783i | ||||
\(249\) | 0.948069 | − | 1.49219i | 0.0600814 | − | 0.0945636i | ||||
\(250\) | −6.19547 | + | 29.1988i | −0.391836 | + | 1.84669i | ||||
\(251\) | −21.4617 | −1.35465 | −0.677325 | − | 0.735684i | \(-0.736861\pi\) | ||||
−0.677325 | + | 0.735684i | \(0.736861\pi\) | |||||||
\(252\) | 0.0414862 | + | 2.08484i | 0.00261339 | + | 0.131332i | ||||
\(253\) | −7.24680 | + | 22.3033i | −0.455602 | + | 1.40220i | ||||
\(254\) | −27.6501 | + | 5.87721i | −1.73492 | + | 0.368769i | ||||
\(255\) | 15.9149 | − | 9.78206i | 0.996632 | − | 0.612577i | ||||
\(256\) | −5.33185 | − | 1.13332i | −0.333240 | − | 0.0708325i | ||||
\(257\) | −2.60345 | + | 4.50931i | −0.162399 | + | 0.281283i | −0.935729 | − | 0.352721i | \(-0.885256\pi\) |
0.773330 | + | 0.634004i | \(0.218590\pi\) | |||||||
\(258\) | 5.51876 | + | 19.8060i | 0.343583 | + | 1.23307i | ||||
\(259\) | 0.142625 | − | 1.35699i | 0.00886231 | − | 0.0843193i | ||||
\(260\) | 5.95626 | − | 16.3708i | 0.369391 | − | 1.01527i | ||||
\(261\) | −10.7013 | + | 6.46563i | −0.662395 | + | 0.400213i | ||||
\(262\) | 31.1118 | + | 22.6040i | 1.92209 | + | 1.39648i | ||||
\(263\) | 1.03927 | − | 9.88798i | 0.0640841 | − | 0.609719i | −0.914602 | − | 0.404356i | \(-0.867496\pi\) |
0.978686 | − | 0.205363i | \(-0.0658376\pi\) | |||||||
\(264\) | −3.79324 | − | 60.8000i | −0.233458 | − | 3.74198i | ||||
\(265\) | −8.61395 | − | 2.14661i | −0.529150 | − | 0.131865i | ||||
\(266\) | −0.0948618 | + | 0.0422352i | −0.00581635 | + | 0.00258960i | ||||
\(267\) | −8.62097 | + | 8.79423i | −0.527595 | + | 0.538198i | ||||
\(268\) | −22.9038 | − | 39.6705i | −1.39907 | − | 2.42326i | ||||
\(269\) | −9.33714 | − | 28.7368i | −0.569295 | − | 1.75211i | −0.654830 | − | 0.755776i | \(-0.727260\pi\) |
0.0855346 | − | 0.996335i | \(-0.472740\pi\) | |||||||
\(270\) | 4.70108 | + | 30.6615i | 0.286099 | + | 1.86600i | ||||
\(271\) | −2.74971 | + | 8.46274i | −0.167033 | + | 0.514075i | −0.999180 | − | 0.0404798i | \(-0.987111\pi\) |
0.832147 | + | 0.554555i | \(0.187111\pi\) | |||||||
\(272\) | −56.7916 | + | 12.0714i | −3.44350 | + | 0.731938i | ||||
\(273\) | 0.319447 | + | 0.158784i | 0.0193338 | + | 0.00961003i | ||||
\(274\) | 8.39621 | − | 14.5427i | 0.507233 | − | 0.878554i | ||||
\(275\) | 20.2461 | + | 5.80023i | 1.22088 | + | 0.349767i | ||||
\(276\) | −26.5170 | + | 41.7357i | −1.59613 | + | 2.51220i | ||||
\(277\) | −7.47005 | − | 3.32588i | −0.448832 | − | 0.199833i | 0.169858 | − | 0.985469i | \(-0.445669\pi\) |
−0.618689 | + | 0.785636i | \(0.712336\pi\) | |||||||
\(278\) | 10.0812 | − | 31.0269i | 0.604633 | − | 1.86087i | ||||
\(279\) | −28.8337 | + | 3.61186i | −1.72623 | + | 0.216237i | ||||
\(280\) | 1.99464 | + | 1.55800i | 0.119203 | + | 0.0931085i | ||||
\(281\) | −17.0445 | + | 18.9299i | −1.01679 | + | 1.12926i | −0.0252237 | + | 0.999682i | \(0.508030\pi\) |
−0.991569 | + | 0.129581i | \(0.958637\pi\) | |||||||
\(282\) | 32.2011 | + | 1.36652i | 1.91755 | + | 0.0813753i | ||||
\(283\) | −10.4407 | − | 2.21925i | −0.620637 | − | 0.131920i | −0.113147 | − | 0.993578i | \(-0.536093\pi\) |
−0.507490 | + | 0.861658i | \(0.669426\pi\) | |||||||
\(284\) | −15.0734 | + | 6.71113i | −0.894445 | + | 0.398232i | ||||
\(285\) | −0.946721 | + | 0.581899i | −0.0560789 | + | 0.0344687i | ||||
\(286\) | −15.6086 | − | 6.94941i | −0.922957 | − | 0.410927i | ||||
\(287\) | −0.749046 | − | 0.544214i | −0.0442148 | − | 0.0321239i | ||||
\(288\) | 8.72528 | − | 45.4806i | 0.514142 | − | 2.67997i | ||||
\(289\) | −5.06843 | + | 3.68243i | −0.298143 | + | 0.216614i | ||||
\(290\) | −3.45966 | + | 24.6381i | −0.203158 | + | 1.44680i | ||||
\(291\) | 3.40123 | − | 1.34458i | 0.199383 | − | 0.0788207i | ||||
\(292\) | −13.3524 | − | 2.83815i | −0.781392 | − | 0.166090i | ||||
\(293\) | 9.74076 | − | 16.8715i | 0.569061 | − | 0.985643i | −0.427598 | − | 0.903969i | \(-0.640640\pi\) |
0.996659 | − | 0.0816741i | \(-0.0260267\pi\) | |||||||
\(294\) | 22.6001 | − | 23.0543i | 1.31807 | − | 1.34456i | ||||
\(295\) | 2.63177 | + | 4.94821i | 0.153227 | + | 0.288096i | ||||
\(296\) | −25.9724 | + | 79.9347i | −1.50961 | + | 4.64611i | ||||
\(297\) | 21.8128 | − | 1.79716i | 1.26571 | − | 0.104282i | ||||
\(298\) | −5.57701 | + | 4.05193i | −0.323067 | + | 0.234722i | ||||
\(299\) | 4.22958 | + | 7.32585i | 0.244603 | + | 0.423665i | ||||
\(300\) | 38.2948 | + | 22.4821i | 2.21095 | + | 1.29801i | ||||
\(301\) | −0.301364 | + | 0.521978i | −0.0173703 | + | 0.0300863i | ||||
\(302\) | 0.529915 | + | 5.04180i | 0.0304932 | + | 0.290123i | ||||
\(303\) | −11.8224 | − | 14.3060i | −0.679177 | − | 0.821860i | ||||
\(304\) | 3.37832 | − | 0.718085i | 0.193760 | − | 0.0411850i | ||||
\(305\) | 0.831479 | − | 2.28532i | 0.0476103 | − | 0.130857i | ||||
\(306\) | −8.78219 | − | 37.6203i | −0.502045 | − | 2.15061i | ||||
\(307\) | −4.81680 | −0.274909 | −0.137455 | − | 0.990508i | \(-0.543892\pi\) | ||||
−0.137455 | + | 0.990508i | \(0.543892\pi\) | |||||||
\(308\) | 1.95906 | − | 2.17575i | 0.111628 | − | 0.123975i | ||||
\(309\) | −15.8529 | − | 12.5784i | −0.901842 | − | 0.715561i | ||||
\(310\) | −30.6369 | + | 49.0423i | −1.74006 | + | 2.78542i | ||||
\(311\) | −0.259321 | − | 2.46728i | −0.0147048 | − | 0.139907i | 0.984706 | − | 0.174223i | \(-0.0557413\pi\) |
−0.999411 | + | 0.0343163i | \(0.989075\pi\) | |||||||
\(312\) | −17.2138 | − | 13.6582i | −0.974539 | − | 0.773242i | ||||
\(313\) | 1.23582 | − | 11.7580i | 0.0698524 | − | 0.664601i | −0.902437 | − | 0.430822i | \(-0.858224\pi\) |
0.972290 | − | 0.233780i | \(-0.0751095\pi\) | |||||||
\(314\) | 20.7115 | − | 15.0478i | 1.16882 | − | 0.849198i | ||||
\(315\) | −0.545392 | + | 0.727632i | −0.0307294 | + | 0.0409974i | ||||
\(316\) | −15.4335 | − | 11.2131i | −0.868200 | − | 0.630784i | ||||
\(317\) | 19.4738 | − | 21.6279i | 1.09376 | − | 1.21474i | 0.118670 | − | 0.992934i | \(-0.462137\pi\) |
0.975090 | − | 0.221809i | \(-0.0711963\pi\) | |||||||
\(318\) | −9.84500 | + | 15.4953i | −0.552080 | + | 0.868933i | ||||
\(319\) | 17.1709 | + | 3.64979i | 0.961386 | + | 0.204349i | ||||
\(320\) | −24.6357 | − | 29.3526i | −1.37718 | − | 1.64086i | ||||
\(321\) | 28.9402 | − | 4.87928i | 1.61528 | − | 0.272335i | ||||
\(322\) | −1.97089 | + | 0.418925i | −0.109833 | + | 0.0233458i | ||||
\(323\) | 1.11964 | − | 0.813463i | 0.0622982 | − | 0.0452623i | ||||
\(324\) | 45.4861 | + | 7.79147i | 2.52701 | + | 0.432859i | ||||
\(325\) | 6.44152 | − | 4.02725i | 0.357311 | − | 0.223392i | ||||
\(326\) | 4.64630 | + | 8.04763i | 0.257335 | + | 0.445717i | ||||
\(327\) | −24.6854 | − | 12.2701i | −1.36511 | − | 0.678536i | ||||
\(328\) | 38.1618 | + | 42.3829i | 2.10713 | + | 2.34021i | ||||
\(329\) | 0.632208 | + | 0.702138i | 0.0348548 | + | 0.0387101i | ||||
\(330\) | 24.6205 | − | 35.9261i | 1.35531 | − | 1.97767i | ||||
\(331\) | 6.75763 | − | 7.50511i | 0.371433 | − | 0.412518i | −0.528231 | − | 0.849100i | \(-0.677145\pi\) |
0.899664 | + | 0.436583i | \(0.143811\pi\) | |||||||
\(332\) | −5.23375 | −0.287239 | ||||||||
\(333\) | −28.8990 | − | 8.75816i | −1.58365 | − | 0.479944i | ||||
\(334\) | −6.99927 | − | 5.08527i | −0.382983 | − | 0.278254i | ||||
\(335\) | 2.77774 | − | 19.7818i | 0.151764 | − | 1.08080i | ||||
\(336\) | 2.35486 | − | 1.56279i | 0.128468 | − | 0.0852571i | ||||
\(337\) | 11.0106 | − | 4.90222i | 0.599784 | − | 0.267041i | −0.0843046 | − | 0.996440i | \(-0.526867\pi\) |
0.684088 | + | 0.729399i | \(0.260200\pi\) | |||||||
\(338\) | 26.0761 | − | 11.6098i | 1.41835 | − | 0.631491i | ||||
\(339\) | −8.26685 | + | 5.48624i | −0.448994 | + | 0.297972i | ||||
\(340\) | −49.7093 | − | 24.2375i | −2.69587 | − | 1.31446i | ||||
\(341\) | 33.0079 | + | 23.9816i | 1.78748 | + | 1.29868i | ||||
\(342\) | 0.522420 | + | 2.23789i | 0.0282493 | + | 0.121011i | ||||
\(343\) | 1.89530 | 0.102337 | ||||||||
\(344\) | 24.8427 | − | 27.5906i | 1.33943 | − | 1.48759i | ||||
\(345\) | −20.3166 | + | 7.22514i | −1.09381 | + | 0.388989i | ||||
\(346\) | −15.7724 | − | 17.5170i | −0.847930 | − | 0.941721i | ||||
\(347\) | 7.31074 | + | 8.11940i | 0.392461 | + | 0.435872i | 0.906701 | − | 0.421774i | \(-0.138593\pi\) |
−0.514240 | + | 0.857646i | \(0.671926\pi\) | |||||||
\(348\) | 33.1453 | + | 16.4751i | 1.77677 | + | 0.883158i | ||||
\(349\) | −6.04219 | − | 10.4654i | −0.323431 | − | 0.560199i | 0.657763 | − | 0.753225i | \(-0.271503\pi\) |
−0.981194 | + | 0.193026i | \(0.938170\pi\) | |||||||
\(350\) | 0.438181 | + | 1.75566i | 0.0234218 | + | 0.0938442i | ||||
\(351\) | 4.78310 | − | 6.28099i | 0.255303 | − | 0.335254i | ||||
\(352\) | −52.6030 | + | 38.2183i | −2.80375 | + | 2.03704i | ||||
\(353\) | −5.22268 | + | 1.11012i | −0.277975 | + | 0.0590855i | −0.344790 | − | 0.938680i | \(-0.612050\pi\) |
0.0668144 | + | 0.997765i | \(0.478716\pi\) | |||||||
\(354\) | 11.4288 | − | 1.92689i | 0.607436 | − | 0.102413i | ||||
\(355\) | −6.98181 | − | 1.73988i | −0.370556 | − | 0.0923430i | ||||
\(356\) | 35.6611 | + | 7.58001i | 1.89004 | + | 0.401740i | ||||
\(357\) | 0.607316 | − | 0.955870i | 0.0321426 | − | 0.0505900i | ||||
\(358\) | 13.8070 | − | 15.3342i | 0.729721 | − | 0.810437i | ||||
\(359\) | −10.7786 | − | 7.83115i | −0.568875 | − | 0.413312i | 0.265821 | − | 0.964022i | \(-0.414357\pi\) |
−0.834697 | + | 0.550710i | \(0.814357\pi\) | |||||||
\(360\) | 42.1797 | − | 36.8564i | 2.22307 | − | 1.94250i | ||||
\(361\) | 15.3047 | − | 11.1195i | 0.805512 | − | 0.585238i | ||||
\(362\) | 4.87896 | − | 46.4202i | 0.256432 | − | 2.43979i | ||||
\(363\) | −9.14753 | − | 7.25805i | −0.480121 | − | 0.380949i | ||||
\(364\) | −0.110391 | − | 1.05030i | −0.00578607 | − | 0.0550508i | ||||
\(365\) | −3.82696 | − | 4.55969i | −0.200312 | − | 0.238665i | ||||
\(366\) | −3.93963 | − | 3.12588i | −0.205928 | − | 0.163392i | ||||
\(367\) | −20.1860 | + | 22.4188i | −1.05370 | + | 1.17025i | −0.0687125 | + | 0.997637i | \(0.521889\pi\) |
−0.984989 | + | 0.172617i | \(0.944778\pi\) | |||||||
\(368\) | 67.0183 | 3.49357 | ||||||||
\(369\) | −14.9516 | + | 14.0110i | −0.778348 | + | 0.729385i | ||||
\(370\) | −49.8125 | + | 33.6076i | −2.58963 | + | 1.74718i | ||||
\(371\) | −0.526411 | + | 0.111892i | −0.0273299 | + | 0.00580915i | ||||
\(372\) | 54.8013 | + | 66.3141i | 2.84131 | + | 3.43822i | ||||
\(373\) | 2.31816 | + | 22.0558i | 0.120030 | + | 1.14201i | 0.874280 | + | 0.485422i | \(0.161334\pi\) |
−0.754250 | + | 0.656587i | \(0.771999\pi\) | |||||||
\(374\) | −27.1202 | + | 46.9735i | −1.40235 | + | 2.42894i | ||||
\(375\) | 7.12572 | + | 18.0062i | 0.367970 | + | 0.929837i | ||||
\(376\) | −29.0995 | − | 50.4019i | −1.50069 | − | 2.59928i | ||||
\(377\) | 5.12283 | − | 3.72195i | 0.263839 | − | 0.191690i | ||||
\(378\) | 1.07080 | + | 1.54586i | 0.0550762 | + | 0.0795105i | ||||
\(379\) | 0.203894 | − | 0.627522i | 0.0104734 | − | 0.0322337i | −0.945683 | − | 0.325089i | \(-0.894606\pi\) |
0.956157 | + | 0.292856i | \(0.0946056\pi\) | |||||||
\(380\) | 2.95702 | + | 1.44180i | 0.151692 | + | 0.0739628i | ||||
\(381\) | −12.8381 | + | 13.0961i | −0.657717 | + | 0.670935i | ||||
\(382\) | −17.3066 | + | 29.9759i | −0.885482 | + | 1.53370i | ||||
\(383\) | −34.2266 | − | 7.27509i | −1.74890 | − | 0.371740i | −0.781285 | − | 0.624175i | \(-0.785435\pi\) |
−0.967614 | + | 0.252435i | \(0.918769\pi\) | |||||||
\(384\) | −23.9681 | + | 9.47514i | −1.22312 | + | 0.483526i | ||||
\(385\) | 1.25732 | − | 0.221855i | 0.0640791 | − | 0.0113068i | ||||
\(386\) | 23.7796 | − | 17.2769i | 1.21035 | − | 0.879372i | ||||
\(387\) | 10.0884 | + | 8.72653i | 0.512822 | + | 0.443595i | ||||
\(388\) | −8.75952 | − | 6.36416i | −0.444697 | − | 0.323091i | ||||
\(389\) | 14.9067 | + | 6.63687i | 0.755797 | + | 0.336503i | 0.748204 | − | 0.663468i | \(-0.230916\pi\) |
0.00759323 | + | 0.999971i | \(0.497583\pi\) | |||||||
\(390\) | −3.68795 | − | 15.2712i | −0.186746 | − | 0.773286i | ||||
\(391\) | 24.5327 | − | 10.9227i | 1.24067 | − | 0.552383i | ||||
\(392\) | −57.0227 | − | 12.1206i | −2.88008 | − | 0.612181i | ||||
\(393\) | 24.9267 | + | 1.05782i | 1.25739 | + | 0.0533599i | ||||
\(394\) | 14.1546 | − | 15.7203i | 0.713100 | − | 0.791978i | ||||
\(395\) | −2.29400 | − | 7.99652i | −0.115424 | − | 0.402349i | ||||
\(396\) | −39.1205 | − | 51.6516i | −1.96588 | − | 2.59559i | ||||
\(397\) | 9.36909 | − | 28.8351i | 0.470221 | − | 1.44719i | −0.382074 | − | 0.924132i | \(-0.624790\pi\) |
0.852295 | − | 0.523061i | \(-0.175210\pi\) | |||||||
\(398\) | −41.0059 | − | 18.2570i | −2.05544 | − | 0.915142i | ||||
\(399\) | −0.0361270 | + | 0.0568612i | −0.00180861 | + | 0.00284662i | ||||
\(400\) | −2.11484 | − | 60.1493i | −0.105742 | − | 3.00747i | ||||
\(401\) | 10.2811 | − | 17.8074i | 0.513413 | − | 0.889258i | −0.486466 | − | 0.873700i | \(-0.661714\pi\) |
0.999879 | − | 0.0155583i | \(-0.00495256\pi\) | |||||||
\(402\) | −36.9921 | − | 18.3872i | −1.84500 | − | 0.917070i | ||||
\(403\) | 14.3955 | − | 3.05987i | 0.717093 | − | 0.152423i | ||||
\(404\) | −16.9781 | + | 52.2532i | −0.844692 | + | 2.59969i | ||||
\(405\) | 13.5407 | + | 14.8879i | 0.672842 | + | 0.739786i | ||||
\(406\) | 0.466085 | + | 1.43446i | 0.0231314 | + | 0.0711911i | ||||
\(407\) | 21.1988 | + | 36.7174i | 1.05078 | + | 1.82001i | ||||
\(408\) | −48.8337 | + | 49.8152i | −2.41763 | + | 2.46622i | ||||
\(409\) | 33.2039 | − | 14.7833i | 1.64183 | − | 0.730989i | 0.642453 | − | 0.766325i | \(-0.277917\pi\) |
0.999375 | + | 0.0353363i | \(0.0112502\pi\) | |||||||
\(410\) | 2.84913 | + | 40.6747i | 0.140709 | + | 2.00878i | ||||
\(411\) | −0.678367 | − | 10.8732i | −0.0334614 | − | 0.536336i | ||||
\(412\) | −6.26231 | + | 59.5819i | −0.308522 | + | 2.93539i | ||||
\(413\) | 0.274874 | + | 0.199708i | 0.0135257 | + | 0.00982697i | ||||
\(414\) | 0.887164 | + | 44.5833i | 0.0436017 | + | 2.19115i | ||||
\(415\) | −1.79868 | − | 1.40494i | −0.0882938 | − | 0.0689657i | ||||
\(416\) | −2.45161 | + | 23.3255i | −0.120200 | + | 1.14363i | ||||
\(417\) | −5.68103 | − | 20.3884i | −0.278201 | − | 0.998424i | ||||
\(418\) | 1.61328 | − | 2.79428i | 0.0789081 | − | 0.136673i | ||||
\(419\) | −8.65750 | − | 1.84021i | −0.422947 | − | 0.0899001i | −0.00847886 | − | 0.999964i | \(-0.502699\pi\) |
−0.414468 | + | 0.910064i | \(0.636032\pi\) | |||||||
\(420\) | 2.68403 | + | 0.207617i | 0.130967 | + | 0.0101307i | ||||
\(421\) | −17.0085 | + | 3.61527i | −0.828944 | + | 0.176197i | −0.602796 | − | 0.797896i | \(-0.705947\pi\) |
−0.226148 | + | 0.974093i | \(0.572613\pi\) | |||||||
\(422\) | 4.57627 | − | 14.0843i | 0.222769 | − | 0.685613i | ||||
\(423\) | 17.8968 | − | 10.8131i | 0.870174 | − | 0.525751i | ||||
\(424\) | 33.1503 | 1.60992 | ||||||||
\(425\) | −10.5773 | − | 21.6736i | −0.513075 | − | 1.05132i | ||||
\(426\) | −7.97961 | + | 12.5593i | −0.386614 | + | 0.608501i | ||||
\(427\) | −0.0154103 | − | 0.146620i | −0.000745759 | − | 0.00709542i | ||||
\(428\) | −58.1372 | − | 64.5680i | −2.81017 | − | 3.12101i | ||||
\(429\) | −10.9304 | + | 1.84285i | −0.527725 | + | 0.0889737i | ||||
\(430\) | 26.1397 | − | 4.61235i | 1.26057 | − | 0.222427i | ||||
\(431\) | 7.00874 | + | 21.5707i | 0.337599 | + | 1.03902i | 0.965428 | + | 0.260671i | \(0.0839439\pi\) |
−0.627829 | + | 0.778352i | \(0.716056\pi\) | |||||||
\(432\) | −24.1475 | − | 57.6984i | −1.16180 | − | 2.77601i | ||||
\(433\) | 3.84650 | + | 11.8383i | 0.184851 | + | 0.568912i | 0.999946 | − | 0.0104152i | \(-0.00331531\pi\) |
−0.815095 | + | 0.579327i | \(0.803315\pi\) | |||||||
\(434\) | −0.366428 | + | 3.48633i | −0.0175891 | + | 0.167349i | ||||
\(435\) | 6.96848 | + | 14.5595i | 0.334113 | + | 0.698072i | ||||
\(436\) | 8.53051 | + | 81.1624i | 0.408537 | + | 3.88697i | ||||
\(437\) | −1.45936 | + | 0.649749i | −0.0698107 | + | 0.0310817i | ||||
\(438\) | −11.4483 | + | 4.52577i | −0.547021 | + | 0.216250i | ||||
\(439\) | 19.6180 | + | 8.73448i | 0.936314 | + | 0.416874i | 0.817426 | − | 0.576034i | \(-0.195400\pi\) |
0.118888 | + | 0.992908i | \(0.462067\pi\) | |||||||
\(440\) | −78.5975 | − | 2.73529i | −3.74699 | − | 0.130400i | ||||
\(441\) | 3.94623 | − | 20.5698i | 0.187916 | − | 0.979512i | ||||
\(442\) | 6.04601 | + | 18.6077i | 0.287579 | + | 0.885078i | ||||
\(443\) | 17.1128 | + | 29.6402i | 0.813053 | + | 1.40825i | 0.910718 | + | 0.413029i | \(0.135529\pi\) |
−0.0976653 | + | 0.995219i | \(0.531137\pi\) | |||||||
\(444\) | 23.9953 | + | 86.1156i | 1.13877 | + | 4.08687i | ||||
\(445\) | 10.2209 | + | 12.1778i | 0.484517 | + | 0.577284i | ||||
\(446\) | 0.771277 | + | 0.856590i | 0.0365210 | + | 0.0405607i | ||||
\(447\) | −1.56112 | + | 4.19100i | −0.0738383 | + | 0.198227i | ||||
\(448\) | −2.12228 | − | 0.944898i | −0.100268 | − | 0.0446422i | ||||
\(449\) | −14.0727 | −0.664132 | −0.332066 | − | 0.943256i | \(-0.607746\pi\) | ||||
−0.332066 | + | 0.943256i | \(0.607746\pi\) | |||||||
\(450\) | 39.9858 | − | 2.20311i | 1.88495 | − | 0.103856i | ||||
\(451\) | 28.7693 | 1.35469 | ||||||||
\(452\) | 26.8331 | + | 11.9469i | 1.26212 | + | 0.561933i | ||||
\(453\) | 2.09514 | + | 2.53529i | 0.0984382 | + | 0.119118i | ||||
\(454\) | −6.70110 | − | 7.44233i | −0.314498 | − | 0.349286i | ||||
\(455\) | 0.244003 | − | 0.390590i | 0.0114390 | − | 0.0183112i | ||||
\(456\) | 2.90494 | − | 2.96332i | 0.136036 | − | 0.138770i | ||||
\(457\) | 3.44104 | + | 5.96005i | 0.160965 | + | 0.278799i | 0.935215 | − | 0.354080i | \(-0.115206\pi\) |
−0.774250 | + | 0.632880i | \(0.781873\pi\) | |||||||
\(458\) | 10.3206 | + | 31.7634i | 0.482248 | + | 1.48421i | ||||
\(459\) | −18.2431 | − | 17.1855i | −0.851517 | − | 0.802149i | ||||
\(460\) | 50.3082 | + | 39.2954i | 2.34563 | + | 1.83216i | ||||
\(461\) | −11.1884 | − | 4.98140i | −0.521096 | − | 0.232007i | 0.129295 | − | 0.991606i | \(-0.458728\pi\) |
−0.650392 | + | 0.759599i | \(0.725395\pi\) | |||||||
\(462\) | 0.387071 | − | 2.61177i | 0.0180082 | − | 0.121511i | ||||
\(463\) | −27.3439 | + | 12.1743i | −1.27078 | + | 0.565788i | −0.927633 | − | 0.373493i | \(-0.878160\pi\) |
−0.343148 | + | 0.939281i | \(0.611493\pi\) | |||||||
\(464\) | −5.24388 | − | 49.8922i | −0.243441 | − | 2.31619i | ||||
\(465\) | 1.03232 | + | 37.5009i | 0.0478726 | + | 1.73906i | ||||
\(466\) | −2.85761 | + | 27.1884i | −0.132376 | + | 1.25948i | ||||
\(467\) | 10.7168 | + | 32.9830i | 0.495915 | + | 1.52627i | 0.815526 | + | 0.578720i | \(0.196448\pi\) |
−0.319611 | + | 0.947549i | \(0.603552\pi\) | |||||||
\(468\) | −23.2882 | − | 1.98014i | −1.07650 | − | 0.0915318i | ||||
\(469\) | −0.374217 | − | 1.15172i | −0.0172797 | − | 0.0531816i | ||||
\(470\) | 5.78592 | − | 41.2046i | 0.266885 | − | 1.90063i | ||||
\(471\) | 5.79758 | − | 15.5643i | 0.267138 | − | 0.717164i | ||||
\(472\) | −14.0040 | − | 15.5531i | −0.644589 | − | 0.715888i | ||||
\(473\) | −1.95765 | − | 18.6258i | −0.0900128 | − | 0.856415i | ||||
\(474\) | −17.1883 | − | 0.729420i | −0.789483 | − | 0.0335034i | ||||
\(475\) | 0.629205 | + | 1.28928i | 0.0288699 | + | 0.0591563i | ||||
\(476\) | −3.35265 | −0.153668 | ||||||||
\(477\) | 0.236956 | + | 11.9079i | 0.0108494 | + | 0.545226i | ||||
\(478\) | 23.9195 | − | 73.6167i | 1.09405 | − | 3.36715i | ||||
\(479\) | 5.22924 | − | 1.11151i | 0.238930 | − | 0.0507862i | −0.0868901 | − | 0.996218i | \(-0.527693\pi\) |
0.325820 | + | 0.945432i | \(0.394360\pi\) | |||||||
\(480\) | −57.3467 | − | 16.9033i | −2.61751 | − | 0.771524i | ||||
\(481\) | 14.9592 | + | 3.17968i | 0.682082 | + | 0.144981i | ||||
\(482\) | 13.7216 | − | 23.7665i | 0.625000 | − | 1.08253i | ||||
\(483\) | −0.915097 | + | 0.933487i | −0.0416383 | + | 0.0424751i | ||||
\(484\) | −3.61350 | + | 34.3802i | −0.164250 | + | 1.56274i | ||||
\(485\) | −1.30200 | − | 4.53856i | −0.0591207 | − | 0.206085i | ||||
\(486\) | 38.0636 | − | 16.8277i | 1.72660 | − | 0.763321i | ||||
\(487\) | −14.9722 | − | 10.8779i | −0.678455 | − | 0.492926i | 0.194390 | − | 0.980924i | \(-0.437727\pi\) |
−0.872845 | + | 0.487998i | \(0.837727\pi\) | |||||||
\(488\) | −0.949246 | + | 9.03147i | −0.0429703 | + | 0.408836i | ||||
\(489\) | 5.39860 | + | 2.68341i | 0.244133 | + | 0.121348i | ||||
\(490\) | −26.7943 | − | 31.9245i | −1.21045 | − | 1.44220i | ||||
\(491\) | −30.9697 | + | 13.7886i | −1.39764 | + | 0.622270i | −0.960794 | − | 0.277264i | \(-0.910572\pi\) |
−0.436849 | + | 0.899535i | \(0.643906\pi\) | |||||||
\(492\) | 58.7470 | + | 15.1165i | 2.64852 | + | 0.681503i | ||||
\(493\) | −10.0510 | − | 17.4089i | −0.452675 | − | 0.784057i | ||||
\(494\) | −0.359655 | − | 1.10690i | −0.0161816 | − | 0.0498019i | ||||
\(495\) | 0.420735 | − | 28.2525i | 0.0189106 | − | 1.26986i | ||||
\(496\) | 36.0306 | − | 110.891i | 1.61782 | − | 4.97915i | ||||
\(497\) | −0.426669 | + | 0.0906913i | −0.0191387 | + | 0.00406806i | ||||
\(498\) | −3.93264 | + | 2.60987i | −0.176226 | + | 0.116951i | ||||
\(499\) | −1.25899 | + | 2.18064i | −0.0563603 | + | 0.0976189i | −0.892829 | − | 0.450396i | \(-0.851283\pi\) |
0.836469 | + | 0.548015i | \(0.184616\pi\) | |||||||
\(500\) | 33.6803 | − | 46.3919i | 1.50623 | − | 2.07471i | ||||
\(501\) | −5.60780 | − | 0.237979i | −0.250538 | − | 0.0106321i | ||||
\(502\) | 52.3439 | + | 23.3050i | 2.33622 | + | 1.04015i | ||||
\(503\) | 7.30399 | − | 22.4794i | 0.325669 | − | 1.00231i | −0.645469 | − | 0.763787i | \(-0.723338\pi\) |
0.971138 | − | 0.238519i | \(-0.0766620\pi\) | |||||||
\(504\) | 1.31916 | − | 3.12899i | 0.0587603 | − | 0.139376i | ||||
\(505\) | −19.8616 | + | 13.4003i | −0.883830 | + | 0.596305i | ||||
\(506\) | 41.8935 | − | 46.5275i | 1.86239 | − | 2.06840i | ||||
\(507\) | 9.93077 | − | 15.6303i | 0.441041 | − | 0.694165i | ||||
\(508\) | 53.1056 | + | 11.2879i | 2.35618 | + | 0.500822i | ||||
\(509\) | 17.2765 | − | 7.69197i | 0.765766 | − | 0.340941i | 0.0135935 | − | 0.999908i | \(-0.495673\pi\) |
0.752172 | + | 0.658967i | \(0.229006\pi\) | |||||||
\(510\) | −49.4379 | + | 6.57608i | −2.18915 | + | 0.291194i | ||||
\(511\) | −0.329678 | − | 0.146782i | −0.0145841 | − | 0.00649326i | ||||
\(512\) | −12.3030 | − | 8.93867i | −0.543722 | − | 0.395037i | ||||
\(513\) | 1.08522 | + | 1.02230i | 0.0479135 | + | 0.0451357i | ||||
\(514\) | 11.2463 | − | 8.17091i | 0.496053 | − | 0.360404i | ||||
\(515\) | −18.1462 | + | 18.7954i | −0.799618 | + | 0.828226i | ||||
\(516\) | 5.78916 | − | 39.0625i | 0.254854 | − | 1.71963i | ||||
\(517\) | −28.7165 | − | 6.10389i | −1.26295 | − | 0.268449i | ||||
\(518\) | −1.82140 | + | 3.15475i | −0.0800276 | + | 0.138612i | ||||
\(519\) | −14.8100 | − | 3.81082i | −0.650085 | − | 0.167276i | ||||
\(520\) | −19.7039 | + | 20.4089i | −0.864074 | + | 0.894989i | ||||
\(521\) | −0.835113 | + | 2.57021i | −0.0365870 | + | 0.112603i | −0.967682 | − | 0.252174i | \(-0.918855\pi\) |
0.931095 | + | 0.364777i | \(0.118855\pi\) | |||||||
\(522\) | 33.1209 | − | 4.14890i | 1.44966 | − | 0.181592i | ||||
\(523\) | −10.4857 | + | 7.61829i | −0.458507 | + | 0.333125i | −0.792945 | − | 0.609293i | \(-0.791453\pi\) |
0.334438 | + | 0.942418i | \(0.391453\pi\) | |||||||
\(524\) | −36.9302 | − | 63.9649i | −1.61330 | − | 2.79432i | ||||
\(525\) | 0.866687 | + | 0.791847i | 0.0378253 | + | 0.0345591i | ||||
\(526\) | −13.2720 | + | 22.9877i | −0.578686 | + | 1.00231i | ||||
\(527\) | −4.88367 | − | 46.4650i | −0.212736 | − | 2.02405i | ||||
\(528\) | −30.6544 | + | 82.2952i | −1.33406 | + | 3.58144i | ||||
\(529\) | −7.82290 | + | 1.66281i | −0.340126 | + | 0.0722960i | ||||
\(530\) | 18.6780 | + | 14.5893i | 0.811320 | + | 0.633717i | ||||
\(531\) | 5.48672 | − | 5.14156i | 0.238103 | − | 0.223125i | ||||
\(532\) | 0.199437 | 0.00864667 | ||||||||
\(533\) | 6.94391 | − | 7.71199i | 0.300774 | − | 0.334043i | ||||
\(534\) | 30.5757 | − | 12.0872i | 1.32314 | − | 0.523066i | ||||
\(535\) | −2.64751 | − | 37.7963i | −0.114462 | − | 1.63408i | ||||
\(536\) | 7.79727 | + | 74.1861i | 0.336791 | + | 3.20435i | ||||
\(537\) | 1.96252 | − | 13.2421i | 0.0846888 | − | 0.571440i | ||||
\(538\) | −8.43215 | + | 80.2266i | −0.363536 | + | 3.45881i | ||||
\(539\) | −23.7910 | + | 17.2852i | −1.02475 | + | 0.744526i | ||||
\(540\) | 15.7041 | − | 57.4707i | 0.675796 | − | 2.47314i | ||||
\(541\) | 0.557272 | + | 0.404882i | 0.0239590 | + | 0.0174072i | 0.599700 | − | 0.800225i | \(-0.295286\pi\) |
−0.575741 | + | 0.817632i | \(0.695286\pi\) | |||||||
\(542\) | 15.8960 | − | 17.6543i | 0.682792 | − | 0.758317i | ||||
\(543\) | −14.0153 | − | 26.8431i | −0.601456 | − | 1.15195i | ||||
\(544\) | 72.8298 | + | 15.4804i | 3.12255 | + | 0.663719i | ||||
\(545\) | −18.8554 | + | 30.1830i | −0.807677 | + | 1.29290i | ||||
\(546\) | −0.606694 | − | 0.734150i | −0.0259641 | − | 0.0314187i | ||||
\(547\) | 38.4262 | − | 8.16774i | 1.64299 | − | 0.349227i | 0.708633 | − | 0.705577i | \(-0.249312\pi\) |
0.934353 | + | 0.356350i | \(0.115979\pi\) | |||||||
\(548\) | −26.0924 | + | 18.9573i | −1.11461 | + | 0.809814i | ||||
\(549\) | −3.25098 | − | 0.276422i | −0.138748 | − | 0.0117974i | ||||
\(550\) | −43.0807 | − | 36.1315i | −1.83697 | − | 1.54065i | ||||
\(551\) | 0.597899 | + | 1.03559i | 0.0254713 | + | 0.0441176i | ||||
\(552\) | 67.0915 | − | 44.5248i | 2.85560 | − | 1.89510i | ||||
\(553\) | −0.337459 | − | 0.374786i | −0.0143502 | − | 0.0159375i | ||||
\(554\) | 14.6075 | + | 16.2233i | 0.620614 | + | 0.689262i | ||||
\(555\) | −14.8703 | + | 36.0366i | −0.631207 | + | 1.52967i | ||||
\(556\) | −41.9263 | + | 46.5639i | −1.77807 | + | 1.97475i | ||||
\(557\) | 17.5295 | 0.742748 | 0.371374 | − | 0.928483i | \(-0.378887\pi\) | ||||
0.371374 | + | 0.928483i | \(0.378887\pi\) | |||||||
\(558\) | 74.2461 | + | 22.5011i | 3.14309 | + | 0.952548i | ||||
\(559\) | −5.46540 | − | 3.97084i | −0.231162 | − | 0.167949i | ||||
\(560\) | −1.71333 | − | 3.22138i | −0.0724014 | − | 0.136128i | ||||
\(561\) | 2.19116 | + | 35.1210i | 0.0925108 | + | 1.48281i | ||||
\(562\) | 62.1265 | − | 27.6605i | 2.62065 | − | 1.16679i | ||||
\(563\) | 14.4900 | − | 6.45136i | 0.610681 | − | 0.271893i | −0.0780046 | − | 0.996953i | \(-0.524855\pi\) |
0.688685 | + | 0.725060i | \(0.258188\pi\) | |||||||
\(564\) | −55.4320 | − | 27.5529i | −2.33411 | − | 1.16019i | ||||
\(565\) | 6.01473 | + | 11.3088i | 0.253042 | + | 0.475765i | ||||
\(566\) | 23.0545 | + | 16.7501i | 0.969055 | + | 0.704059i | ||||
\(567\) | 1.13339 | + | 0.451491i | 0.0475980 | + | 0.0189608i | ||||
\(568\) | 26.8691 | 1.12740 | ||||||||
\(569\) | −28.3146 | + | 31.4465i | −1.18701 | + | 1.31831i | −0.250311 | + | 0.968165i | \(0.580533\pi\) |
−0.936697 | + | 0.350141i | \(0.886134\pi\) | |||||||
\(570\) | 2.94088 | − | 0.391187i | 0.123180 | − | 0.0163850i | ||||
\(571\) | −9.09406 | − | 10.1000i | −0.380574 | − | 0.422671i | 0.522174 | − | 0.852839i | \(-0.325121\pi\) |
−0.902749 | + | 0.430168i | \(0.858454\pi\) | |||||||
\(572\) | 21.9578 | + | 24.3866i | 0.918103 | + | 1.01966i | ||||
\(573\) | 1.39828 | + | 22.4123i | 0.0584138 | + | 0.936286i | ||||
\(574\) | 1.23593 | + | 2.14069i | 0.0515867 | + | 0.0893507i | ||||
\(575\) | 6.74101 | + | 27.0093i | 0.281120 | + | 1.12636i | ||||
\(576\) | −29.3863 | + | 42.1869i | −1.22443 | + | 1.75779i | ||||
\(577\) | 8.62008 | − | 6.26285i | 0.358858 | − | 0.260726i | −0.393717 | − | 0.919232i | \(-0.628811\pi\) |
0.752576 | + | 0.658506i | \(0.228811\pi\) | |||||||
\(578\) | 16.3604 | − | 3.47750i | 0.680501 | − | 0.144645i | ||||
\(579\) | 6.65640 | − | 17.8699i | 0.276631 | − | 0.742646i | ||||
\(580\) | 25.3173 | − | 40.5269i | 1.05124 | − | 1.68279i | ||||
\(581\) | −0.135339 | − | 0.0287671i | −0.00561479 | − | 0.00119346i | ||||
\(582\) | −9.75548 | − | 0.413995i | −0.404378 | − | 0.0171606i | ||||
\(583\) | 11.1895 | − | 12.4272i | 0.463421 | − | 0.514681i | ||||
\(584\) | 17.9839 | + | 13.0661i | 0.744180 | + | 0.540678i | ||||
\(585\) | −7.47191 | − | 6.93196i | −0.308925 | − | 0.286601i | ||||
\(586\) | −42.0778 | + | 30.5713i | −1.73822 | + | 1.26289i | ||||
\(587\) | 0.698379 | − | 6.64463i | 0.0288252 | − | 0.274253i | −0.970610 | − | 0.240657i | \(-0.922637\pi\) |
0.999435 | − | 0.0335965i | \(-0.0106961\pi\) | |||||||
\(588\) | −57.6636 | + | 22.7957i | −2.37801 | + | 0.940079i | ||||
\(589\) | 0.290511 | + | 2.76403i | 0.0119703 | + | 0.113890i | ||||
\(590\) | −1.04553 | − | 14.9262i | −0.0430440 | − | 0.614503i | ||||
\(591\) | 2.01193 | − | 13.5756i | 0.0827599 | − | 0.558425i | ||||
\(592\) | 81.0740 | − | 90.0418i | 3.33212 | − | 3.70070i | ||||
\(593\) | −13.1850 | −0.541442 | −0.270721 | − | 0.962658i | \(-0.587262\pi\) | ||||
−0.270721 | + | 0.962658i | \(0.587262\pi\) | |||||||
\(594\) | −55.1519 | − | 19.3031i | −2.26291 | − | 0.792018i | ||||
\(595\) | −1.15220 | − | 0.899978i | −0.0472357 | − | 0.0368955i | ||||
\(596\) | 12.9507 | − | 2.75275i | 0.530480 | − | 0.112757i | ||||
\(597\) | −28.7156 | + | 4.84141i | −1.17525 | + | 0.198146i | ||||
\(598\) | −2.36066 | − | 22.4602i | −0.0965348 | − | 0.918467i | ||||
\(599\) | −4.22052 | + | 7.31016i | −0.172446 | + | 0.298685i | −0.939274 | − | 0.343167i | \(-0.888500\pi\) |
0.766829 | + | 0.641852i | \(0.221834\pi\) | |||||||
\(600\) | −42.0784 | − | 58.8100i | −1.71784 | − | 2.40091i | ||||
\(601\) | −13.2046 | − | 22.8711i | −0.538628 | − | 0.932931i | −0.998978 | − | 0.0451933i | \(-0.985610\pi\) |
0.460351 | − | 0.887737i | \(-0.347724\pi\) | |||||||
\(602\) | 1.30182 | − | 0.945829i | 0.0530583 | − | 0.0385491i | ||||
\(603\) | −26.5926 | + | 3.33113i | −1.08294 | + | 0.135654i | ||||
\(604\) | 3.00883 | − | 9.26023i | 0.122428 | − | 0.376793i | ||||
\(605\) | −10.4708 | + | 10.8454i | −0.425699 | + | 0.440929i | ||||
\(606\) | 13.2994 | + | 47.7295i | 0.540250 | + | 1.93888i | ||||
\(607\) | 15.9189 | − | 27.5724i | 0.646129 | − | 1.11913i | −0.337910 | − | 0.941178i | \(-0.609720\pi\) |
0.984040 | − | 0.177950i | \(-0.0569466\pi\) | |||||||
\(608\) | −4.33238 | − | 0.920875i | −0.175701 | − | 0.0373464i | ||||
\(609\) | 0.766543 | + | 0.608208i | 0.0310619 | + | 0.0246459i | ||||
\(610\) | −4.50954 | + | 4.67088i | −0.182586 | + | 0.189118i | ||||
\(611\) | −8.56740 | + | 6.22458i | −0.346600 | + | 0.251820i | ||||
\(612\) | −13.9795 | + | 72.8685i | −0.565089 | + | 2.94554i | ||||
\(613\) | −16.4747 | − | 11.9696i | −0.665407 | − | 0.483446i | 0.203078 | − | 0.979163i | \(-0.434906\pi\) |
−0.868485 | + | 0.495716i | \(0.834906\pi\) | |||||||
\(614\) | 11.7479 | + | 5.23051i | 0.474107 | + | 0.211086i | ||||
\(615\) | 16.1317 | + | 20.9650i | 0.650494 | + | 0.845391i | ||||
\(616\) | −4.35549 | + | 1.93919i | −0.175488 | + | 0.0781322i | ||||
\(617\) | −26.7830 | − | 5.69291i | −1.07824 | − | 0.229188i | −0.365642 | − | 0.930756i | \(-0.619151\pi\) |
−0.712603 | + | 0.701568i | \(0.752484\pi\) | |||||||
\(618\) | 25.0057 | + | 47.8927i | 1.00588 | + | 1.92652i | ||||
\(619\) | −20.1573 | + | 22.3869i | −0.810190 | + | 0.899807i | −0.996577 | − | 0.0826697i | \(-0.973655\pi\) |
0.186387 | + | 0.982476i | \(0.440322\pi\) | |||||||
\(620\) | 92.0664 | − | 62.1156i | 3.69748 | − | 2.49462i | ||||
\(621\) | 16.4733 | + | 23.7816i | 0.661051 | + | 0.954325i | ||||
\(622\) | −2.04672 | + | 6.29916i | −0.0820661 | + | 0.252573i | ||||
\(623\) | 0.880491 | + | 0.392020i | 0.0352761 | + | 0.0157060i | ||||
\(624\) | 14.6614 | + | 28.0805i | 0.586926 | + | 1.12412i | ||||
\(625\) | 24.0282 | − | 6.90241i | 0.961130 | − | 0.276096i | ||||
\(626\) | −15.7820 | + | 27.3352i | −0.630775 | + | 1.09253i | ||||
\(627\) | −0.130344 | − | 2.08922i | −0.00520544 | − | 0.0834354i | ||||
\(628\) | −48.0954 | + | 10.2230i | −1.91921 | + | 0.407941i | ||||
\(629\) | 15.0029 | − | 46.1742i | 0.598205 | − | 1.84108i | ||||
\(630\) | 2.12031 | − | 1.18242i | 0.0844753 | − | 0.0471088i | ||||
\(631\) | −14.5309 | − | 44.7216i | −0.578466 | − | 1.78034i | −0.624060 | − | 0.781377i | \(-0.714518\pi\) |
0.0455932 | − | 0.998960i | \(-0.485482\pi\) | |||||||
\(632\) | 15.5327 | + | 26.9034i | 0.617857 | + | 1.07016i | ||||
\(633\) | −2.57884 | − | 9.25508i | −0.102500 | − | 0.367857i | ||||
\(634\) | −70.9812 | + | 31.6029i | −2.81902 | + | 1.25511i | ||||
\(635\) | 15.2207 | + | 18.1349i | 0.604014 | + | 0.719661i | ||||
\(636\) | 29.3787 | − | 19.4970i | 1.16494 | − | 0.773105i | ||||
\(637\) | −1.10880 | + | 10.5495i | −0.0439323 | + | 0.417988i | ||||
\(638\) | −37.9157 | − | 27.5473i | −1.50110 | − | 1.09061i | ||||
\(639\) | 0.192058 | + | 9.65165i | 0.00759771 | + | 0.381813i | ||||
\(640\) | 9.17506 | + | 31.9828i | 0.362676 | + | 1.26423i | ||||
\(641\) | 2.31632 | − | 22.0383i | 0.0914891 | − | 0.870460i | −0.848486 | − | 0.529218i | \(-0.822486\pi\) |
0.939975 | − | 0.341243i | \(-0.110848\pi\) | |||||||
\(642\) | −75.8820 | − | 19.5256i | −2.99482 | − | 0.770612i | ||||
\(643\) | −2.55849 | + | 4.43143i | −0.100897 | + | 0.174759i | −0.912054 | − | 0.410069i | \(-0.865505\pi\) |
0.811157 | + | 0.584828i | \(0.198838\pi\) | |||||||
\(644\) | 3.78535 | + | 0.804600i | 0.149164 | + | 0.0317057i | ||||
\(645\) | 12.4754 | − | 11.8706i | 0.491220 | − | 0.467403i | ||||
\(646\) | −3.61406 | + | 0.768193i | −0.142193 | + | 0.0302241i | ||||
\(647\) | −2.24133 | + | 6.89811i | −0.0881158 | + | 0.271193i | −0.985399 | − | 0.170264i | \(-0.945538\pi\) |
0.897283 | + | 0.441456i | \(0.145538\pi\) | |||||||
\(648\) | −62.5069 | − | 41.7185i | −2.45550 | − | 1.63886i | ||||
\(649\) | −10.5573 | −0.414412 | ||||||||
\(650\) | −20.0837 | + | 2.82747i | −0.787747 | + | 0.110902i | ||||
\(651\) | 1.05260 | + | 2.01602i | 0.0412548 | + | 0.0790139i | ||||
\(652\) | −1.86559 | − | 17.7499i | −0.0730621 | − | 0.695139i | ||||
\(653\) | 15.2667 | + | 16.9554i | 0.597434 | + | 0.663517i | 0.963698 | − | 0.266993i | \(-0.0860302\pi\) |
−0.366265 | + | 0.930511i | \(0.619364\pi\) | |||||||
\(654\) | 46.8825 | + | 56.7317i | 1.83325 | + | 2.21838i | ||||
\(655\) | 4.47885 | − | 31.8963i | 0.175003 | − | 1.24629i | ||||
\(656\) | −25.4063 | − | 78.1926i | −0.991949 | − | 3.05291i | ||||
\(657\) | −4.56492 | + | 6.55340i | −0.178094 | + | 0.255672i | ||||
\(658\) | −0.779478 | − | 2.39899i | −0.0303872 | − | 0.0935223i | ||||
\(659\) | −0.318857 | + | 3.03372i | −0.0124209 | + | 0.118177i | −0.998975 | − | 0.0452553i | \(-0.985590\pi\) |
0.986555 | + | 0.163432i | \(0.0522565\pi\) | |||||||
\(660\) | −71.2639 | + | 43.8021i | −2.77394 | + | 1.70500i | ||||
\(661\) | 0.769037 | + | 7.31690i | 0.0299121 | + | 0.284594i | 0.999245 | + | 0.0388442i | \(0.0123676\pi\) |
−0.969333 | + | 0.245750i | \(0.920966\pi\) | |||||||
\(662\) | −24.6312 | + | 10.9665i | −0.957320 | + | 0.426226i | ||||
\(663\) | 9.94352 | + | 7.88962i | 0.386174 | + | 0.306407i | ||||
\(664\) | 7.78599 | + | 3.46655i | 0.302155 | + | 0.134528i | ||||
\(665\) | 0.0685403 | + | 0.0535364i | 0.00265788 | + | 0.00207605i | ||||
\(666\) | 60.9727 | + | 52.7418i | 2.36264 | + | 2.04370i | ||||
\(667\) | 7.17028 | + | 22.0679i | 0.277634 | + | 0.854471i | ||||
\(668\) | 8.30824 | + | 14.3903i | 0.321455 | + | 0.556777i | ||||
\(669\) | 0.724213 | + | 0.186351i | 0.0279997 | + | 0.00720473i | ||||
\(670\) | −28.2556 | + | 45.2305i | −1.09161 | + | 1.74741i | ||||
\(671\) | 3.06526 | + | 3.40431i | 0.118333 | + | 0.131422i | ||||
\(672\) | −3.57395 | + | 0.602563i | −0.137868 | + | 0.0232444i | ||||
\(673\) | −44.7482 | − | 19.9232i | −1.72492 | − | 0.767983i | −0.996568 | − | 0.0827765i | \(-0.973621\pi\) |
−0.728349 | − | 0.685206i | \(-0.759712\pi\) | |||||||
\(674\) | −32.1775 | −1.23943 | ||||||||
\(675\) | 20.8243 | − | 15.5354i | 0.801529 | − | 0.597956i | ||||
\(676\) | −54.8221 | −2.10854 | ||||||||
\(677\) | −12.9325 | − | 5.75790i | −0.497035 | − | 0.221294i | 0.142880 | − | 0.989740i | \(-0.454364\pi\) |
−0.639915 | + | 0.768446i | \(0.721030\pi\) | |||||||
\(678\) | 26.1199 | − | 4.40378i | 1.00313 | − | 0.169126i | ||||
\(679\) | −0.191530 | − | 0.212716i | −0.00735026 | − | 0.00816329i | ||||
\(680\) | 57.8965 | + | 68.9816i | 2.22023 | + | 2.64533i | ||||
\(681\) | −6.29219 | − | 1.61907i | −0.241117 | − | 0.0620430i | ||||
\(682\) | −54.4631 | − | 94.3328i | −2.08550 | − | 3.61219i | ||||
\(683\) | 2.59574 | + | 7.98887i | 0.0993233 | + | 0.305686i | 0.988356 | − | 0.152158i | \(-0.0486221\pi\) |
−0.889033 | + | 0.457843i | \(0.848622\pi\) | |||||||
\(684\) | 0.831591 | − | 4.33468i | 0.0317967 | − | 0.165741i | ||||
\(685\) | −14.0560 | − | 0.489168i | −0.537053 | − | 0.0186901i | ||||
\(686\) | −4.62254 | − | 2.05809i | −0.176489 | − | 0.0785782i | ||||
\(687\) | 16.9736 | + | 13.4676i | 0.647584 | + | 0.513822i | ||||
\(688\) | −48.8945 | + | 21.7692i | −1.86409 | + | 0.829944i | ||||
\(689\) | −0.630518 | − | 5.99898i | −0.0240208 | − | 0.228543i | ||||
\(690\) | 57.3967 | + | 4.43979i | 2.18506 | + | 0.169020i | ||||
\(691\) | −2.66759 | + | 25.3804i | −0.101480 | + | 0.965517i | 0.818753 | + | 0.574146i | \(0.194666\pi\) |
−0.920233 | + | 0.391371i | \(0.872001\pi\) | |||||||
\(692\) | 13.9899 | + | 43.0563i | 0.531814 | + | 1.63676i | ||||
\(693\) | −0.727708 | − | 1.55067i | −0.0276434 | − | 0.0589052i | ||||
\(694\) | −9.01374 | − | 27.7415i | −0.342157 | − | 1.05305i | ||||
\(695\) | −26.9083 | + | 4.74798i | −1.02069 | + | 0.180101i | ||||
\(696\) | −38.3964 | − | 46.4628i | −1.45541 | − | 1.76117i | ||||
\(697\) | −22.0441 | − | 24.4824i | −0.834979 | − | 0.927338i | ||||
\(698\) | 3.37234 | + | 32.0857i | 0.127645 | + | 1.21446i | ||||
\(699\) | 8.20881 | + | 15.7221i | 0.310486 | + | 0.594663i | ||||
\(700\) | 0.602683 | − | 3.42276i | 0.0227793 | − | 0.129368i | ||||
\(701\) | 11.4130 | 0.431063 | 0.215532 | − | 0.976497i | \(-0.430852\pi\) | ||||
0.215532 | + | 0.976497i | \(0.430852\pi\) | |||||||
\(702\) | −18.4862 | + | 10.1251i | −0.697717 | + | 0.382147i | ||||
\(703\) | −0.892467 | + | 2.74673i | −0.0336600 | + | 0.103595i | ||||
\(704\) | 70.6081 | − | 15.0082i | 2.66114 | − | 0.565644i | ||||
\(705\) | −11.6541 | − | 24.3492i | −0.438918 | − | 0.917043i | ||||
\(706\) | 13.9433 | + | 2.96374i | 0.524764 | + | 0.111542i | ||||
\(707\) | −0.726241 | + | 1.25789i | −0.0273131 | + | 0.0473077i | ||||
\(708\) | −21.5581 | − | 5.54722i | −0.810204 | − | 0.208477i | ||||
\(709\) | 0.940531 | − | 8.94855i | 0.0353224 | − | 0.336070i | −0.962562 | − | 0.271061i | \(-0.912626\pi\) |
0.997885 | − | 0.0650093i | \(-0.0207077\pi\) | |||||||
\(710\) | 15.1390 | + | 11.8249i | 0.568155 | + | 0.443782i | ||||
\(711\) | −9.55294 | + | 5.77180i | −0.358263 | + | 0.216459i | ||||
\(712\) | −48.0307 | − | 34.8964i | −1.80003 | − | 1.30780i | ||||
\(713\) | −5.63715 | + | 53.6339i | −0.211113 | + | 2.00861i | ||||
\(714\) | −2.51918 | + | 1.67184i | −0.0942780 | + | 0.0625670i | ||||
\(715\) | 0.999936 | + | 14.2753i | 0.0373955 | + | 0.533865i | ||||
\(716\) | −36.2044 | + | 16.1192i | −1.35302 | + | 0.602404i | ||||
\(717\) | −13.4792 | − | 48.3750i | −0.503391 | − | 1.80660i | ||||
\(718\) | 17.7848 | + | 30.8042i | 0.663723 | + | 1.14960i | ||||
\(719\) | 9.37500 | + | 28.8533i | 0.349629 | + | 1.07605i | 0.959059 | + | 0.283207i | \(0.0913982\pi\) |
−0.609430 | + | 0.792840i | \(0.708602\pi\) | |||||||
\(720\) | −77.1595 | + | 23.8064i | −2.87557 | + | 0.887212i | ||||
\(721\) | −0.489425 | + | 1.50630i | −0.0182272 | + | 0.0560974i | ||||
\(722\) | −49.4020 | + | 10.5007i | −1.83855 | + | 0.390796i | ||||
\(723\) | −1.10863 | − | 17.7696i | −0.0412303 | − | 0.660860i | ||||
\(724\) | −44.8236 | + | 77.6367i | −1.66585 | + | 2.88534i | ||||
\(725\) | 19.5798 | − | 7.13175i | 0.727174 | − | 0.264866i | ||||
\(726\) | 14.4289 | + | 27.6352i | 0.535507 | + | 1.02564i | ||||
\(727\) | 25.1041 | + | 11.1771i | 0.931061 | + | 0.414535i | 0.815495 | − | 0.578765i | \(-0.196465\pi\) |
0.115566 | + | 0.993300i | \(0.463132\pi\) | |||||||
\(728\) | −0.531439 | + | 1.63560i | −0.0196964 | + | 0.0606194i | ||||
\(729\) | 14.5389 | − | 22.7513i | 0.538478 | − | 0.842640i | ||||
\(730\) | 4.38244 | + | 15.2765i | 0.162201 | + | 0.565409i | ||||
\(731\) | −14.3504 | + | 15.9377i | −0.530767 | + | 0.589477i | ||||
\(732\) | 4.47051 | + | 8.56222i | 0.165235 | + | 0.316469i | ||||
\(733\) | 6.48313 | + | 1.37803i | 0.239460 | + | 0.0508988i | 0.326078 | − | 0.945343i | \(-0.394273\pi\) |
−0.0866183 | + | 0.996242i | \(0.527606\pi\) | |||||||
\(734\) | 73.5770 | − | 32.7586i | 2.71578 | − | 1.20914i | ||||
\(735\) | −25.9365 | − | 7.64492i | −0.956682 | − | 0.281987i | ||||
\(736\) | −78.5142 | − | 34.9568i | −2.89407 | − | 1.28852i | ||||
\(737\) | 30.4423 | + | 22.1176i | 1.12136 | + | 0.814714i | ||||
\(738\) | 51.6806 | − | 17.9364i | 1.90239 | − | 0.660248i | ||||
\(739\) | −38.6512 | + | 28.0817i | −1.42181 | + | 1.03300i | −0.430337 | + | 0.902668i | \(0.641605\pi\) |
−0.991470 | + | 0.130335i | \(0.958395\pi\) | |||||||
\(740\) | 113.654 | − | 20.0543i | 4.17801 | − | 0.737210i | ||||
\(741\) | −0.591504 | − | 0.469325i | −0.0217294 | − | 0.0172411i | ||||
\(742\) | 1.40539 | + | 0.298725i | 0.0515936 | + | 0.0109666i | ||||
\(743\) | 17.2283 | − | 29.8402i | 0.632044 | − | 1.09473i | −0.355090 | − | 0.934832i | \(-0.615550\pi\) |
0.987133 | − | 0.159900i | \(-0.0511170\pi\) | |||||||
\(744\) | −37.6024 | − | 134.950i | −1.37857 | − | 4.94749i | ||||
\(745\) | 5.18969 | + | 2.53041i | 0.190136 | + | 0.0927072i | ||||
\(746\) | 18.2963 | − | 56.3103i | 0.669877 | − | 2.06167i | ||||
\(747\) | −1.18956 | + | 2.82158i | −0.0435239 | + | 0.103236i | ||||
\(748\) | 84.2799 | − | 61.2329i | 3.08158 | − | 2.23890i | ||||
\(749\) | −1.14847 | − | 1.98920i | −0.0419640 | − | 0.0726838i | ||||
\(750\) | 2.17352 | − | 51.6540i | 0.0793657 | − | 1.88614i | ||||
\(751\) | 0.682040 | − | 1.18133i | 0.0248880 | − | 0.0431072i | −0.853313 | − | 0.521399i | \(-0.825410\pi\) |
0.878201 | + | 0.478292i | \(0.158744\pi\) | |||||||
\(752\) | 8.76985 | + | 83.4395i | 0.319803 | + | 3.04273i | ||||
\(753\) | 36.6554 | − | 6.18005i | 1.33580 | − | 0.225214i | ||||
\(754\) | −16.5360 | + | 3.51482i | −0.602204 | + | 0.128002i | ||||
\(755\) | 3.51984 | − | 2.37478i | 0.128100 | − | 0.0864269i | ||||
\(756\) | −0.671201 | − | 3.54884i | −0.0244113 | − | 0.129070i | ||||
\(757\) | −46.5288 | −1.69112 | −0.845559 | − | 0.533882i | \(-0.820733\pi\) | ||||
−0.845559 | + | 0.533882i | \(0.820733\pi\) | |||||||
\(758\) | −1.17871 | + | 1.30909i | −0.0428126 | + | 0.0475482i | ||||
\(759\) | 5.95473 | − | 40.1797i | 0.216143 | − | 1.45843i | ||||
\(760\) | −3.44405 | − | 4.10346i | −0.124929 | − | 0.148848i | ||||
\(761\) | −2.05258 | − | 19.5290i | −0.0744058 | − | 0.707924i | −0.966603 | − | 0.256278i | \(-0.917504\pi\) |
0.892197 | − | 0.451646i | \(-0.149163\pi\) | |||||||
\(762\) | 45.5325 | − | 18.0000i | 1.64947 | − | 0.652071i | ||||
\(763\) | −0.225517 | + | 2.14565i | −0.00816427 | + | 0.0776778i | ||||
\(764\) | 53.7827 | − | 39.0754i | 1.94579 | − | 1.41370i | ||||
\(765\) | −24.3650 | + | 21.2901i | −0.880920 | + | 0.769744i | ||||
\(766\) | 75.5770 | + | 54.9099i | 2.73071 | + | 1.98398i | ||||
\(767\) | −2.54818 | + | 2.83004i | −0.0920093 | + | 0.102187i | ||||
\(768\) | 9.43286 | + | 0.400303i | 0.340379 | + | 0.0144447i | ||||
\(769\) | 31.3047 | + | 6.65402i | 1.12888 | + | 0.239950i | 0.734242 | − | 0.678888i | \(-0.237538\pi\) |
0.394635 | + | 0.918838i | \(0.370871\pi\) | |||||||
\(770\) | −3.30746 | − | 0.824222i | −0.119192 | − | 0.0297029i | ||||
\(771\) | 3.14807 | − | 8.45134i | 0.113375 | − | 0.304368i | ||||
\(772\) | −55.2199 | + | 11.7374i | −1.98741 | + | 0.422437i | ||||
\(773\) | −28.9715 | + | 21.0490i | −1.04203 | + | 0.757080i | −0.970681 | − | 0.240371i | \(-0.922731\pi\) |
−0.0713505 | + | 0.997451i | \(0.522731\pi\) | |||||||
\(774\) | −15.1290 | − | 32.2385i | −0.543802 | − | 1.15879i | ||||
\(775\) | 48.3146 | + | 3.36690i | 1.73551 | + | 0.120943i | ||||
\(776\) | 8.81584 | + | 15.2695i | 0.316470 | + | 0.548142i | ||||
\(777\) | 0.147159 | + | 2.35874i | 0.00527929 | + | 0.0846192i | ||||
\(778\) | −29.1497 | − | 32.3740i | −1.04507 | − | 1.16066i | ||||
\(779\) | 1.31132 | + | 1.45637i | 0.0469830 | + | 0.0521799i | ||||
\(780\) | −5.45889 | + | 29.6755i | −0.195459 | + | 1.06255i | ||||
\(781\) | 9.06935 | − | 10.0725i | 0.324527 | − | 0.360424i | ||||
\(782\) | −71.6948 | −2.56380 | ||||||||
\(783\) | 16.4154 | − | 14.1245i | 0.586640 | − | 0.504768i | ||||
\(784\) | 67.9897 | + | 49.3974i | 2.42820 | + | 1.76419i | ||||
\(785\) | −19.2732 | − | 9.39730i | −0.687889 | − | 0.335404i | ||||
\(786\) | −59.6463 | − | 29.6476i | −2.12751 | − | 1.05750i | ||||
\(787\) | −5.63966 | + | 2.51094i | −0.201032 | + | 0.0895052i | −0.504783 | − | 0.863246i | \(-0.668428\pi\) |
0.303751 | + | 0.952751i | \(0.401761\pi\) | |||||||
\(788\) | −37.1161 | + | 16.5251i | −1.32220 | + | 0.588684i | ||||
\(789\) | 1.07230 | + | 17.1874i | 0.0381750 | + | 0.611888i | ||||
\(790\) | −3.08840 | + | 21.9941i | −0.109880 | + | 0.782516i | ||||
\(791\) | 0.628207 | + | 0.456419i | 0.0223365 | + | 0.0162284i | ||||
\(792\) | 23.9865 | + | 102.751i | 0.852321 | + | 3.65109i | ||||
\(793\) | 1.65242 | 0.0586791 | ||||||||
\(794\) | −54.1625 | + | 60.1535i | −1.92215 | + | 2.13477i | ||||
\(795\) | 15.3303 | + | 1.18584i | 0.543709 | + | 0.0420573i | ||||
\(796\) | 57.6861 | + | 64.0669i | 2.04463 | + | 2.27079i | ||||
\(797\) | 22.5944 | + | 25.0936i | 0.800334 | + | 0.888861i | 0.995772 | − | 0.0918548i | \(-0.0292796\pi\) |
−0.195438 | + | 0.980716i | \(0.562613\pi\) | |||||||
\(798\) | 0.149857 | − | 0.0994516i | 0.00530488 | − | 0.00352055i | ||||
\(799\) | 16.8093 | + | 29.1146i | 0.594670 | + | 1.03000i | ||||
\(800\) | −28.8963 | + | 71.5701i | −1.02164 | + | 2.53038i | ||||
\(801\) | 12.1918 | − | 17.5025i | 0.430776 | − | 0.618422i | ||||
\(802\) | −44.4119 | + | 32.2671i | −1.56824 | + | 1.13939i | ||||
\(803\) | 10.9684 | − | 2.33140i | 0.387066 | − | 0.0822735i | ||||
\(804\) | 50.5418 | + | 61.1598i | 1.78247 | + | 2.15694i | ||||
\(805\) | 1.08492 | + | 1.29265i | 0.0382385 | + | 0.0455599i | ||||
\(806\) | −38.4326 | − | 8.16911i | −1.35373 | − | 0.287745i | ||||
\(807\) | 24.2223 | + | 46.3921i | 0.852665 | + | 1.63308i | ||||
\(808\) | 59.8671 | − | 66.4892i | 2.10612 | − | 2.33908i | ||||
\(809\) | −20.7943 | − | 15.1079i | −0.731089 | − | 0.531167i | 0.158819 | − | 0.987308i | \(-0.449231\pi\) |
−0.889908 | + | 0.456141i | \(0.849231\pi\) | |||||||
\(810\) | −16.8584 | − | 51.0145i | −0.592344 | − | 1.79247i | ||||
\(811\) | 5.81417 | − | 4.22424i | 0.204163 | − | 0.148333i | −0.481006 | − | 0.876717i | \(-0.659728\pi\) |
0.685169 | + | 0.728384i | \(0.259728\pi\) | |||||||
\(812\) | 0.302804 | − | 2.88098i | 0.0106263 | − | 0.101103i | ||||
\(813\) | 2.25945 | − | 15.2457i | 0.0792424 | − | 0.534690i | ||||
\(814\) | −11.8317 | − | 112.571i | −0.414702 | − | 3.94562i | ||||
\(815\) | 4.12360 | − | 6.60089i | 0.144443 | − | 0.231219i | ||||
\(816\) | 93.5209 | − | 36.9709i | 3.27389 | − | 1.29424i | ||||
\(817\) | 0.853650 | − | 0.948075i | 0.0298654 | − | 0.0331689i | ||||
\(818\) | −97.0357 | −3.39277 | ||||||||
\(819\) | −0.591322 | − | 0.179207i | −0.0206625 | − | 0.00626199i | ||||
\(820\) | 26.7757 | − | 73.5930i | 0.935048 | − | 2.56998i | ||||
\(821\) | 0.496319 | − | 0.105496i | 0.0173217 | − | 0.00368183i | −0.199243 | − | 0.979950i | \(-0.563848\pi\) |
0.216564 | + | 0.976268i | \(0.430515\pi\) | |||||||
\(822\) | −10.1526 | + | 27.2558i | −0.354113 | + | 0.950656i | ||||
\(823\) | −1.61052 | − | 15.3230i | −0.0561391 | − | 0.534128i | −0.986063 | − | 0.166375i | \(-0.946794\pi\) |
0.929923 | − | 0.367753i | \(-0.119873\pi\) | |||||||
\(824\) | 48.7799 | − | 84.4892i | 1.69933 | − | 2.94332i | ||||
\(825\) | −36.2494 | − | 4.07649i | −1.26204 | − | 0.141925i | ||||
\(826\) | −0.453543 | − | 0.785560i | −0.0157808 | − | 0.0273331i | ||||
\(827\) | −35.2637 | + | 25.6206i | −1.22624 | + | 0.890915i | −0.996603 | − | 0.0823613i | \(-0.973754\pi\) |
−0.229637 | + | 0.973276i | \(0.573754\pi\) | |||||||
\(828\) | 33.2715 | − | 78.9182i | 1.15626 | − | 2.74260i | ||||
\(829\) | 11.6434 | − | 35.8348i | 0.404394 | − | 1.24460i | −0.517007 | − | 0.855981i | \(-0.672954\pi\) |
0.921401 | − | 0.388614i | \(-0.127046\pi\) | |||||||
\(830\) | 2.86128 | + | 5.37974i | 0.0993166 | + | 0.186734i | ||||
\(831\) | 13.7161 | + | 3.52937i | 0.475808 | + | 0.122432i | ||||
\(832\) | 13.0192 | − | 22.5499i | 0.451359 | − | 0.781777i | ||||
\(833\) | 32.9391 | + | 7.00142i | 1.14127 | + | 0.242585i | ||||
\(834\) | −8.28380 | + | 55.8952i | −0.286845 | + | 1.93549i | ||||
\(835\) | −1.00761 | + | 7.17576i | −0.0348699 | + | 0.248327i | ||||
\(836\) | −5.01350 | + | 3.64252i | −0.173396 | + | 0.125979i | ||||
\(837\) | 48.2064 | − | 14.4718i | 1.66626 | − | 0.500217i | ||||
\(838\) | 19.1169 | + | 13.8893i | 0.660384 | + | 0.479797i | ||||
\(839\) | 25.5368 | + | 11.3697i | 0.881630 | + | 0.392527i | 0.797067 | − | 0.603891i | \(-0.206384\pi\) |
0.0845629 | + | 0.996418i | \(0.473051\pi\) | |||||||
\(840\) | −3.85538 | − | 2.08661i | −0.133023 | − | 0.0719950i | ||||
\(841\) | −10.6253 | + | 4.73069i | −0.366390 | + | 0.163127i | ||||
\(842\) | 45.4086 | + | 9.65190i | 1.56489 | + | 0.332627i | ||||
\(843\) | 23.6602 | − | 37.2393i | 0.814900 | − | 1.28259i | ||||
\(844\) | −19.0320 | + | 21.1371i | −0.655108 | + | 0.727571i | ||||
\(845\) | −18.8407 | − | 14.7164i | −0.648140 | − | 0.506258i | ||||
\(846\) | −55.3913 | + | 6.93860i | −1.90439 | + | 0.238554i | ||||
\(847\) | −0.282410 | + | 0.869169i | −0.00970373 | + | 0.0298650i | ||||
\(848\) | −43.6575 | − | 19.4376i | −1.49921 | − | 0.667489i | ||||
\(849\) | 18.4712 | + | 0.783867i | 0.633932 | + | 0.0269022i | ||||
\(850\) | 2.26241 | + | 64.3465i | 0.0776000 | + | 2.20707i | ||||
\(851\) | −28.0205 | + | 48.5330i | −0.960531 | + | 1.66369i | ||||
\(852\) | 23.8121 | − | 15.8028i | 0.815790 | − | 0.541394i | ||||
\(853\) | 23.1484 | − | 4.92035i | 0.792587 | − | 0.168470i | 0.206210 | − | 0.978508i | \(-0.433887\pi\) |
0.586377 | + | 0.810038i | \(0.300554\pi\) | |||||||
\(854\) | −0.121628 | + | 0.374332i | −0.00416201 | + | 0.0128094i | ||||
\(855\) | 1.44939 | − | 1.26647i | 0.0495680 | − | 0.0433123i | ||||
\(856\) | 43.7217 | + | 134.561i | 1.49438 | + | 4.59922i | ||||
\(857\) | 24.1294 | + | 41.7934i | 0.824245 | + | 1.42763i | 0.902495 | + | 0.430701i | \(0.141734\pi\) |
−0.0782494 | + | 0.996934i | \(0.524933\pi\) | |||||||
\(858\) | 28.6598 | + | 7.37460i | 0.978430 | + | 0.251765i | ||||
\(859\) | 8.83897 | − | 3.93536i | 0.301582 | − | 0.134273i | −0.250367 | − | 0.968151i | \(-0.580551\pi\) |
0.551948 | + | 0.833878i | \(0.313884\pi\) | |||||||
\(860\) | −49.4674 | − | 12.3273i | −1.68683 | − | 0.420359i | ||||
\(861\) | 1.43604 | + | 0.713795i | 0.0489401 | + | 0.0243261i | ||||
\(862\) | 6.32943 | − | 60.2205i | 0.215581 | − | 2.05112i | ||||
\(863\) | −7.67590 | − | 5.57686i | −0.261291 | − | 0.189839i | 0.449425 | − | 0.893318i | \(-0.351629\pi\) |
−0.710716 | + | 0.703479i | \(0.751629\pi\) | |||||||
\(864\) | −1.80583 | + | 80.1910i | −0.0614356 | + | 2.72815i | ||||
\(865\) | −6.75008 | + | 18.5526i | −0.229510 | + | 0.630807i | ||||
\(866\) | 3.47368 | − | 33.0499i | 0.118040 | − | 1.12308i | ||||
\(867\) | 7.59623 | − | 7.74889i | 0.257981 | − | 0.263166i | ||||
\(868\) | 3.36641 | − | 5.83080i | 0.114264 | − | 0.197910i | ||||
\(869\) | 15.3283 | + | 3.25812i | 0.519976 | + | 0.110524i | ||||
\(870\) | −1.18581 | − | 43.0768i | −0.0402027 | − | 1.46044i | ||||
\(871\) | 13.2766 | − | 2.82204i | 0.449862 | − | 0.0956211i | ||||
\(872\) | 41.0671 | − | 126.391i | 1.39071 | − | 4.28016i | ||||
\(873\) | −5.42193 | + | 3.27588i | −0.183505 | + | 0.110872i | ||||
\(874\) | 4.26486 | 0.144261 | ||||||||
\(875\) | 1.12592 | − | 1.01452i | 0.0380632 | − | 0.0342969i | ||||
\(876\) | 23.6225 | + | 1.00247i | 0.798130 | + | 0.0338704i | ||||
\(877\) | −2.11673 | − | 20.1393i | −0.0714769 | − | 0.680057i | −0.970326 | − | 0.241800i | \(-0.922262\pi\) |
0.898849 | − | 0.438258i | \(-0.144404\pi\) | |||||||
\(878\) | −38.3625 | − | 42.6059i | −1.29467 | − | 1.43788i | ||||
\(879\) | −11.7784 | + | 31.6205i | −0.397276 | + | 1.06653i | ||||
\(880\) | 101.906 | + | 49.6877i | 3.43524 | + | 1.67497i | ||||
\(881\) | −5.94159 | − | 18.2863i | −0.200177 | − | 0.616083i | −0.999877 | − | 0.0156823i | \(-0.995008\pi\) |
0.799700 | − | 0.600400i | \(-0.204992\pi\) | |||||||
\(882\) | −31.9611 | + | 45.8834i | −1.07619 | + | 1.54497i | ||||
\(883\) | −1.91625 | − | 5.89762i | −0.0644870 | − | 0.198471i | 0.913622 | − | 0.406566i | \(-0.133274\pi\) |
−0.978109 | + | 0.208095i | \(0.933274\pi\) | |||||||
\(884\) | 3.92794 | − | 37.3718i | 0.132111 | − | 1.25695i | ||||
\(885\) | −5.91979 | − | 7.69344i | −0.198992 | − | 0.258612i | ||||
\(886\) | −9.55119 | − | 90.8735i | −0.320879 | − | 3.05296i | ||||
\(887\) | −32.9404 | + | 14.6660i | −1.10603 | + | 0.492437i | −0.876761 | − | 0.480926i | \(-0.840301\pi\) |
−0.229270 | + | 0.973363i | \(0.573634\pi\) | |||||||
\(888\) | 21.3416 | − | 144.003i | 0.716178 | − | 4.83243i | ||||
\(889\) | 1.31120 | + | 0.583786i | 0.0439764 | + | 0.0195795i | ||||
\(890\) | −11.7044 | − | 40.7999i | −0.392334 | − | 1.36761i | ||||
\(891\) | −36.7376 | + | 9.35062i | −1.23076 | + | 0.313258i | ||||
\(892\) | −0.684110 | − | 2.10547i | −0.0229057 | − | 0.0704964i | ||||
\(893\) | −0.999923 | − | 1.73192i | −0.0334612 | − | 0.0579564i | ||||
\(894\) | 8.35844 | − | 8.52642i | 0.279548 | − | 0.285166i | ||||
\(895\) | −16.7694 | − | 4.17895i | −0.560539 | − | 0.139687i | ||||
\(896\) | 1.34970 | + | 1.49899i | 0.0450903 | + | 0.0500778i | ||||
\(897\) | −9.33343 | − | 11.2942i | −0.311634 | − | 0.377103i | ||||
\(898\) | 34.3226 | + | 15.2814i | 1.14536 | + | 0.509947i | ||||
\(899\) | 40.3692 | 1.34639 | ||||||||
\(900\) | −71.8794 | − | 27.3710i | −2.39598 | − | 0.912366i | ||||
\(901\) | −19.1492 | −0.637953 | ||||||||
\(902\) | −70.1669 | − | 31.2403i | −2.33630 | − | 1.04019i | ||||
\(903\) | 0.364406 | − | 0.978291i | 0.0121267 | − | 0.0325555i | ||||
\(904\) | −32.0054 | − | 35.5455i | −1.06448 | − | 1.18223i | ||||
\(905\) | −36.2452 | + | 14.6490i | −1.20483 | + | 0.486950i | ||||
\(906\) | −2.35689 | − | 8.45854i | −0.0783024 | − | 0.281016i | ||||
\(907\) | 4.37588 | + | 7.57925i | 0.145299 | + | 0.251665i | 0.929484 | − | 0.368862i | \(-0.120252\pi\) |
−0.784186 | + | 0.620526i | \(0.786919\pi\) | |||||||
\(908\) | 5.94376 | + | 18.2930i | 0.197251 | + | 0.607075i | ||||
\(909\) | 24.3115 | + | 21.0296i | 0.806361 | + | 0.697508i | ||||
\(910\) | −1.01925 | + | 0.687669i | −0.0337878 | + | 0.0227960i | ||||
\(911\) | −17.5961 | − | 7.83427i | −0.582984 | − | 0.259561i | 0.0939841 | − | 0.995574i | \(-0.470040\pi\) |
−0.676968 | + | 0.736013i | \(0.736706\pi\) | |||||||
\(912\) | −5.56322 | + | 2.19926i | −0.184217 | + | 0.0728249i | ||||
\(913\) | 3.92759 | − | 1.74867i | 0.129984 | − | 0.0578727i | ||||
\(914\) | −1.92055 | − | 18.2728i | −0.0635263 | − | 0.604412i | ||||
\(915\) | −0.762047 | + | 4.14263i | −0.0251925 | + | 0.136951i | ||||
\(916\) | 6.70501 | − | 63.7939i | 0.221540 | − | 2.10781i | ||||
\(917\) | −0.603390 | − | 1.85704i | −0.0199257 | − | 0.0613250i | ||||
\(918\) | 25.8326 | + | 61.7245i | 0.852601 | + | 2.03721i | ||||
\(919\) | −5.09770 | − | 15.6891i | −0.168158 | − | 0.517536i | 0.831097 | − | 0.556127i | \(-0.187713\pi\) |
−0.999255 | + | 0.0385906i | \(0.987713\pi\) | |||||||
\(920\) | −48.8139 | − | 91.7792i | −1.60935 | − | 3.02587i | ||||
\(921\) | 8.22683 | − | 1.38703i | 0.271083 | − | 0.0457043i | ||||
\(922\) | 21.8787 | + | 24.2988i | 0.720537 | + | 0.800237i | ||||
\(923\) | −0.511050 | − | 4.86232i | −0.0168214 | − | 0.160045i | ||||
\(924\) | −2.71944 | + | 4.28019i | −0.0894630 | + | 0.140808i | ||||
\(925\) | 44.4429 | + | 23.6171i | 1.46127 | + | 0.776525i | ||||
\(926\) | 79.9104 | 2.62602 | ||||||||
\(927\) | 30.6980 | + | 16.9183i | 1.00826 | + | 0.555669i | ||||
\(928\) | −19.8804 | + | 61.1856i | −0.652607 | + | 2.00852i | ||||
\(929\) | 22.1301 | − | 4.70389i | 0.726064 | − | 0.154330i | 0.169970 | − | 0.985449i | \(-0.445633\pi\) |
0.556094 | + | 0.831120i | \(0.312300\pi\) | |||||||
\(930\) | 38.2041 | − | 92.5837i | 1.25276 | − | 3.03594i | ||||
\(931\) | −1.95943 | − | 0.416489i | −0.0642176 | − | 0.0136499i | ||||
\(932\) | 26.2532 | − | 45.4719i | 0.859953 | − | 1.48948i | ||||
\(933\) | 1.15338 | + | 4.13931i | 0.0377599 | + | 0.135515i | ||||
\(934\) | 9.67810 | − | 92.0810i | 0.316677 | − | 3.01298i | ||||
\(935\) | 45.4017 | + | 1.58004i | 1.48479 | + | 0.0516727i | ||||
\(936\) | 33.3332 | + | 18.3706i | 1.08953 | + | 0.600461i | ||||
\(937\) | −43.9818 | − | 31.9547i | −1.43682 | − | 1.04391i | −0.988694 | − | 0.149944i | \(-0.952091\pi\) |
−0.448129 | − | 0.893969i | \(-0.647909\pi\) | |||||||
\(938\) | −0.337947 | + | 3.21535i | −0.0110344 | + | 0.104985i | ||||
\(939\) | 1.27510 | + | 20.4379i | 0.0416112 | + | 0.666966i | ||||
\(940\) | −42.3406 | + | 67.7771i | −1.38100 | + | 2.21064i | ||||
\(941\) | 45.7840 | − | 20.3843i | 1.49252 | − | 0.664511i | 0.511649 | − | 0.859195i | \(-0.329035\pi\) |
0.980866 | + | 0.194684i | \(0.0623682\pi\) | |||||||
\(942\) | −31.0411 | + | 31.6649i | −1.01137 | + | 1.03170i | ||||
\(943\) | 19.0136 | + | 32.9325i | 0.619169 | + | 1.07243i | ||||
\(944\) | 9.32324 | + | 28.6940i | 0.303446 | + | 0.933909i | ||||
\(945\) | 0.721974 | − | 1.39981i | 0.0234858 | − | 0.0455357i | ||||
\(946\) | −15.4509 | + | 47.5531i | −0.502354 | + | 1.54609i | ||||
\(947\) | 33.7933 | − | 7.18299i | 1.09813 | − | 0.233416i | 0.377002 | − | 0.926213i | \(-0.376955\pi\) |
0.721133 | + | 0.692797i | \(0.243622\pi\) | |||||||
\(948\) | 29.5884 | + | 14.7071i | 0.960987 | + | 0.477666i | ||||
\(949\) | 2.02243 | − | 3.50294i | 0.0656507 | − | 0.113710i | ||||
\(950\) | −0.134582 | − | 3.82774i | −0.00436643 | − | 0.124188i | ||||
\(951\) | −27.0324 | + | 42.5469i | −0.876584 | + | 1.37968i | ||||
\(952\) | 4.98757 | + | 2.22061i | 0.161648 | + | 0.0719703i | ||||
\(953\) | −9.45452 | + | 29.0980i | −0.306262 | + | 0.942577i | 0.672941 | + | 0.739696i | \(0.265031\pi\) |
−0.979203 | + | 0.202881i | \(0.934969\pi\) | |||||||
\(954\) | 12.3528 | − | 29.3001i | 0.399935 | − | 0.948625i | ||||
\(955\) | 28.9728 | + | 1.00829i | 0.937539 | + | 0.0326275i | ||||
\(956\) | −99.4774 | + | 110.481i | −3.21733 | + | 3.57321i | ||||
\(957\) | −30.3780 | − | 1.28915i | −0.981980 | − | 0.0416724i | ||||
\(958\) | −13.9608 | − | 2.96747i | −0.451054 | − | 0.0958745i | ||||
\(959\) | −0.778917 | + | 0.346796i | −0.0251526 | + | 0.0111986i | ||||
\(960\) | 50.5288 | + | 43.0386i | 1.63081 | + | 1.38907i | ||||
\(961\) | 57.3940 | + | 25.5535i | 1.85142 | + | 0.824305i | ||||
\(962\) | −33.0320 | − | 23.9992i | −1.06499 | − | 0.773764i | ||||
\(963\) | −48.0233 | + | 16.6671i | −1.54753 | + | 0.537089i | ||||
\(964\) | −42.6418 | + | 30.9811i | −1.37340 | + | 0.997833i | ||||
\(965\) | −22.1282 | − | 10.7894i | −0.712331 | − | 0.347322i | ||||
\(966\) | 3.24554 | − | 1.28303i | 0.104423 | − | 0.0412809i | ||||
\(967\) | 37.9711 | + | 8.07100i | 1.22107 | + | 0.259546i | 0.772972 | − | 0.634440i | \(-0.218769\pi\) |
0.448095 | + | 0.893986i | \(0.352103\pi\) | |||||||
\(968\) | 28.1472 | − | 48.7523i | 0.904684 | − | 1.56696i | ||||
\(969\) | −1.67803 | + | 1.71176i | −0.0539062 | + | 0.0549896i | ||||
\(970\) | −1.75287 | + | 12.4831i | −0.0562813 | + | 0.400809i | ||||
\(971\) | −2.15683 | + | 6.63803i | −0.0692158 | + | 0.213024i | −0.979681 | − | 0.200561i | \(-0.935724\pi\) |
0.910465 | + | 0.413585i | \(0.135724\pi\) | |||||||
\(972\) | −79.9315 | − | 0.209334i | −2.56380 | − | 0.00671440i | ||||
\(973\) | −1.34010 | + | 0.973640i | −0.0429617 | + | 0.0312135i | ||||
\(974\) | 24.7042 | + | 42.7889i | 0.791573 | + | 1.37104i | ||||
\(975\) | −9.84210 | + | 8.73321i | −0.315199 | + | 0.279687i | ||||
\(976\) | 6.54570 | − | 11.3375i | 0.209523 | − | 0.362904i | ||||
\(977\) | −4.88978 | − | 46.5231i | −0.156438 | − | 1.48841i | −0.737942 | − | 0.674864i | \(-0.764202\pi\) |
0.581504 | − | 0.813543i | \(-0.302464\pi\) | |||||||
\(978\) | −10.2530 | − | 12.4070i | −0.327855 | − | 0.396732i | ||||
\(979\) | −29.2940 | + | 6.22662i | −0.936239 | + | 0.199004i | ||||
\(980\) | 22.0738 | + | 76.9457i | 0.705121 | + | 2.45794i | ||||
\(981\) | 45.6946 | + | 13.8483i | 1.45892 | + | 0.442141i | ||||
\(982\) | 90.5064 | 2.88817 | ||||||||
\(983\) | 2.06002 | − | 2.28788i | 0.0657044 | − | 0.0729721i | −0.709396 | − | 0.704810i | \(-0.751032\pi\) |
0.775101 | + | 0.631838i | \(0.217699\pi\) | |||||||
\(984\) | −77.3827 | − | 61.3988i | −2.46687 | − | 1.95732i | ||||
\(985\) | −17.1916 | − | 4.28418i | −0.547771 | − | 0.136505i | ||||
\(986\) | 5.60980 | + | 53.3737i | 0.178652 | + | 1.69976i | ||||
\(987\) | −1.28196 | − | 1.01717i | −0.0408054 | − | 0.0323767i | ||||
\(988\) | −0.233659 | + | 2.22311i | −0.00743367 | + | 0.0707266i | ||||
\(989\) | 20.0273 | − | 14.5507i | 0.636832 | − | 0.462686i | ||||
\(990\) | −31.7053 | + | 68.4496i | −1.00766 | + | 2.17547i | ||||
\(991\) | −17.0227 | − | 12.3677i | −0.540744 | − | 0.392874i | 0.283617 | − | 0.958938i | \(-0.408466\pi\) |
−0.824361 | + | 0.566064i | \(0.808466\pi\) | |||||||
\(992\) | −100.052 | + | 111.119i | −3.17665 | + | 3.52803i | ||||
\(993\) | −9.38051 | + | 14.7642i | −0.297682 | + | 0.468529i | ||||
\(994\) | 1.13910 | + | 0.242124i | 0.0361302 | + | 0.00767971i | ||||
\(995\) | 2.62696 | + | 37.5030i | 0.0832804 | + | 1.18893i | ||||
\(996\) | 8.93896 | − | 1.50710i | 0.283242 | − | 0.0477542i | ||||
\(997\) | −54.1067 | + | 11.5007i | −1.71358 | + | 0.364232i | −0.957093 | − | 0.289781i | \(-0.906418\pi\) |
−0.756483 | + | 0.654013i | \(0.773084\pi\) | |||||||
\(998\) | 5.43856 | − | 3.95134i | 0.172155 | − | 0.125078i | ||||
\(999\) | 51.8799 | + | 6.63679i | 1.64141 | + | 0.209979i |
(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 | 225.2.q.a.211.2 | yes | 224 | |
3.2 | odd | 2 | 675.2.r.a.361.27 | 224 | |||
9.2 | odd | 6 | 675.2.r.a.586.2 | 224 | |||
9.7 | even | 3 | inner | 225.2.q.a.61.27 | yes | 224 | |
25.16 | even | 5 | inner | 225.2.q.a.166.27 | yes | 224 | |
75.41 | odd | 10 | 675.2.r.a.91.2 | 224 | |||
225.16 | even | 15 | inner | 225.2.q.a.16.2 | ✓ | 224 | |
225.191 | odd | 30 | 675.2.r.a.316.27 | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.16.2 | ✓ | 224 | 225.16 | even | 15 | inner | |
225.2.q.a.61.27 | yes | 224 | 9.7 | even | 3 | inner | |
225.2.q.a.166.27 | yes | 224 | 25.16 | even | 5 | inner | |
225.2.q.a.211.2 | yes | 224 | 1.1 | even | 1 | trivial | |
675.2.r.a.91.2 | 224 | 75.41 | odd | 10 | |||
675.2.r.a.316.27 | 224 | 225.191 | odd | 30 | |||
675.2.r.a.361.27 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.586.2 | 224 | 9.2 | odd | 6 |