Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(125,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 3, 4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.125");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.bo (of order \(8\), degree \(4\), 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: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(496\) |
Relative dimension: | \(124\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 125.7 | ||
Character | \(\chi\) | \(=\) | 672.125 |
Dual form | 672.2.bo.a.629.7 |
$q$-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 \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{8}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39544 | − | 0.229683i | −0.986723 | − | 0.162410i | ||||
\(3\) | −1.71200 | − | 0.262778i | −0.988424 | − | 0.151715i | ||||
\(4\) | 1.89449 | + | 0.641017i | 0.947246 | + | 0.320508i | ||||
\(5\) | −0.321849 | − | 0.777011i | −0.143935 | − | 0.347490i | 0.835428 | − | 0.549600i | \(-0.185220\pi\) |
−0.979363 | + | 0.202110i | \(0.935220\pi\) | |||||||
\(6\) | 2.32863 | + | 0.759907i | 0.950661 | + | 0.310231i | ||||
\(7\) | −2.46255 | − | 0.967393i | −0.930756 | − | 0.365640i | ||||
\(8\) | −2.49641 | − | 1.32963i | −0.882615 | − | 0.470096i | ||||
\(9\) | 2.86190 | + | 0.899751i | 0.953965 | + | 0.299917i | ||||
\(10\) | 0.270653 | + | 1.15819i | 0.0855881 | + | 0.366253i | ||||
\(11\) | −0.599335 | − | 1.44692i | −0.180706 | − | 0.436264i | 0.807406 | − | 0.589996i | \(-0.200871\pi\) |
−0.988113 | + | 0.153732i | \(0.950871\pi\) | |||||||
\(12\) | −3.07493 | − | 1.59525i | −0.887655 | − | 0.460509i | ||||
\(13\) | −1.13642 | − | 0.470719i | −0.315185 | − | 0.130554i | 0.219483 | − | 0.975616i | \(-0.429563\pi\) |
−0.534667 | + | 0.845063i | \(0.679563\pi\) | |||||||
\(14\) | 3.21414 | + | 1.91554i | 0.859015 | + | 0.511950i | ||||
\(15\) | 0.346824 | + | 1.41482i | 0.0895495 | + | 0.365305i | ||||
\(16\) | 3.17820 | + | 2.42880i | 0.794549 | + | 0.607200i | ||||
\(17\) | − | 0.165815i | − | 0.0402161i | −0.999798 | − | 0.0201080i | \(-0.993599\pi\) | ||
0.999798 | − | 0.0201080i | \(-0.00640102\pi\) | |||||||
\(18\) | −3.78694 | − | 1.91288i | −0.892590 | − | 0.450869i | ||||
\(19\) | −1.27301 | − | 0.527297i | −0.292048 | − | 0.120970i | 0.231849 | − | 0.972752i | \(-0.425522\pi\) |
−0.523897 | + | 0.851781i | \(0.675522\pi\) | |||||||
\(20\) | −0.111662 | − | 1.67835i | −0.0249684 | − | 0.375291i | ||||
\(21\) | 3.96168 | + | 2.30328i | 0.864509 | + | 0.502617i | ||||
\(22\) | 0.504001 | + | 2.15675i | 0.107453 | + | 0.459820i | ||||
\(23\) | −1.24300 | + | 1.24300i | −0.259184 | + | 0.259184i | −0.824722 | − | 0.565538i | \(-0.808669\pi\) |
0.565538 | + | 0.824722i | \(0.308669\pi\) | |||||||
\(24\) | 3.92447 | + | 2.93233i | 0.801078 | + | 0.598560i | ||||
\(25\) | 3.03537 | − | 3.03537i | 0.607075 | − | 0.607075i | ||||
\(26\) | 1.47768 | + | 0.917874i | 0.289797 | + | 0.180010i | ||||
\(27\) | −4.66313 | − | 2.29242i | −0.897421 | − | 0.441176i | ||||
\(28\) | −4.04516 | − | 3.41125i | −0.764464 | − | 0.644666i | ||||
\(29\) | −2.41071 | + | 5.81996i | −0.447657 | + | 1.08074i | 0.525540 | + | 0.850769i | \(0.323863\pi\) |
−0.973197 | + | 0.229971i | \(0.926137\pi\) | |||||||
\(30\) | −0.159011 | − | 2.05395i | −0.0290313 | − | 0.374998i | ||||
\(31\) | − | 2.57708i | − | 0.462857i | −0.972852 | − | 0.231428i | \(-0.925660\pi\) | ||
0.972852 | − | 0.231428i | \(-0.0743399\pi\) | |||||||
\(32\) | −3.87712 | − | 4.11922i | −0.685384 | − | 0.728182i | ||||
\(33\) | 0.645844 | + | 2.63463i | 0.112427 | + | 0.458630i | ||||
\(34\) | −0.0380849 | + | 0.231385i | −0.00653151 | + | 0.0396821i | ||||
\(35\) | 0.0408932 | + | 2.22478i | 0.00691221 | + | 0.376057i | ||||
\(36\) | 4.84508 | + | 3.53909i | 0.807514 | + | 0.589849i | ||||
\(37\) | 0.423455 | + | 1.02231i | 0.0696156 | + | 0.168067i | 0.954858 | − | 0.297064i | \(-0.0960074\pi\) |
−0.885242 | + | 0.465131i | \(0.846007\pi\) | |||||||
\(38\) | 1.65529 | + | 1.02820i | 0.268524 | + | 0.166796i | ||||
\(39\) | 1.82185 | + | 1.10450i | 0.291729 | + | 0.176861i | ||||
\(40\) | −0.229671 | + | 2.36768i | −0.0363142 | + | 0.374363i | ||||
\(41\) | 1.44212 | + | 1.44212i | 0.225221 | + | 0.225221i | 0.810693 | − | 0.585472i | \(-0.199091\pi\) |
−0.585472 | + | 0.810693i | \(0.699091\pi\) | |||||||
\(42\) | −4.99925 | − | 4.12401i | −0.771401 | − | 0.636349i | ||||
\(43\) | −5.03594 | + | 2.08595i | −0.767973 | + | 0.318105i | −0.732051 | − | 0.681250i | \(-0.761437\pi\) |
−0.0359221 | + | 0.999355i | \(0.511437\pi\) | |||||||
\(44\) | −0.207933 | − | 3.12537i | −0.0313471 | − | 0.471167i | ||||
\(45\) | −0.221980 | − | 2.51331i | −0.0330909 | − | 0.374662i | ||||
\(46\) | 2.02003 | − | 1.44904i | 0.297837 | − | 0.213649i | ||||
\(47\) | 12.1909i | 1.77822i | 0.457690 | + | 0.889112i | \(0.348677\pi\) | ||||
−0.457690 | + | 0.889112i | \(0.651323\pi\) | |||||||
\(48\) | −4.80284 | − | 4.99327i | −0.693230 | − | 0.720716i | ||||
\(49\) | 5.12830 | + | 4.76451i | 0.732615 | + | 0.680644i | ||||
\(50\) | −4.93285 | + | 3.53850i | −0.697610 | + | 0.500420i | ||||
\(51\) | −0.0435725 | + | 0.283876i | −0.00610137 | + | 0.0397505i | ||||
\(52\) | −1.85119 | − | 1.62023i | −0.256714 | − | 0.224686i | ||||
\(53\) | 2.78926 | + | 6.73386i | 0.383134 | + | 0.924967i | 0.991356 | + | 0.131200i | \(0.0418830\pi\) |
−0.608222 | + | 0.793767i | \(0.708117\pi\) | |||||||
\(54\) | 5.98058 | + | 4.26997i | 0.813854 | + | 0.581069i | ||||
\(55\) | −0.931380 | + | 0.931380i | −0.125587 | + | 0.125587i | ||||
\(56\) | 4.86127 | + | 5.68930i | 0.649614 | + | 0.760264i | ||||
\(57\) | 2.04083 | + | 1.23725i | 0.270315 | + | 0.163878i | ||||
\(58\) | 4.70074 | − | 7.56769i | 0.617237 | − | 0.993687i | ||||
\(59\) | −0.184087 | − | 0.444425i | −0.0239661 | − | 0.0578592i | 0.911443 | − | 0.411425i | \(-0.134969\pi\) |
−0.935410 | + | 0.353566i | \(0.884969\pi\) | |||||||
\(60\) | −0.249867 | + | 2.90268i | −0.0322577 | + | 0.374735i | ||||
\(61\) | −4.35156 | + | 10.5056i | −0.557161 | + | 1.34511i | 0.354844 | + | 0.934926i | \(0.384534\pi\) |
−0.912005 | + | 0.410180i | \(0.865466\pi\) | |||||||
\(62\) | −0.591911 | + | 3.59615i | −0.0751728 | + | 0.456711i | ||||
\(63\) | −6.17715 | − | 4.98426i | −0.778248 | − | 0.627958i | ||||
\(64\) | 4.46416 | + | 6.63862i | 0.558020 | + | 0.829827i | ||||
\(65\) | 1.03451i | 0.128315i | ||||||||
\(66\) | −0.296105 | − | 3.82480i | −0.0364480 | − | 0.470800i | ||||
\(67\) | −5.54325 | − | 2.29609i | −0.677216 | − | 0.280512i | 0.0174468 | − | 0.999848i | \(-0.494446\pi\) |
−0.694662 | + | 0.719336i | \(0.744446\pi\) | |||||||
\(68\) | 0.106290 | − | 0.314135i | 0.0128896 | − | 0.0380945i | ||||
\(69\) | 2.45466 | − | 1.80139i | 0.295506 | − | 0.216862i | ||||
\(70\) | 0.453931 | − | 3.11394i | 0.0542551 | − | 0.372187i | ||||
\(71\) | 9.01557 | + | 9.01557i | 1.06995 | + | 1.06995i | 0.997362 | + | 0.0725895i | \(0.0231263\pi\) |
0.0725895 | + | 0.997362i | \(0.476874\pi\) | |||||||
\(72\) | −5.94814 | − | 6.05142i | −0.700995 | − | 0.713166i | ||||
\(73\) | 1.36391 | − | 1.36391i | 0.159633 | − | 0.159633i | −0.622771 | − | 0.782404i | \(-0.713993\pi\) |
0.782404 | + | 0.622771i | \(0.213993\pi\) | |||||||
\(74\) | −0.356098 | − | 1.52383i | −0.0413955 | − | 0.177142i | ||||
\(75\) | −5.99419 | + | 4.39894i | −0.692150 | + | 0.507945i | ||||
\(76\) | −2.07370 | − | 1.81498i | −0.237869 | − | 0.208192i | ||||
\(77\) | 0.0761498 | + | 4.14291i | 0.00867808 | + | 0.472129i | ||||
\(78\) | −2.28859 | − | 1.95970i | −0.259132 | − | 0.221893i | ||||
\(79\) | 10.0284i | 1.12828i | 0.825679 | + | 0.564141i | \(0.190792\pi\) | ||||
−0.825679 | + | 0.564141i | \(0.809208\pi\) | |||||||
\(80\) | 0.864308 | − | 3.25120i | 0.0966326 | − | 0.363495i | ||||
\(81\) | 7.38090 | + | 5.14999i | 0.820099 | + | 0.572221i | ||||
\(82\) | −1.68116 | − | 2.34362i | −0.185653 | − | 0.258809i | ||||
\(83\) | −0.535926 | + | 1.29384i | −0.0588255 | + | 0.142017i | −0.950559 | − | 0.310543i | \(-0.899489\pi\) |
0.891734 | + | 0.452560i | \(0.149489\pi\) | |||||||
\(84\) | 6.02892 | + | 6.90305i | 0.657810 | + | 0.753184i | ||||
\(85\) | −0.128840 | + | 0.0533673i | −0.0139747 | + | 0.00578850i | ||||
\(86\) | 7.50644 | − | 1.75415i | 0.809441 | − | 0.189155i | ||||
\(87\) | 5.65649 | − | 9.33030i | 0.606439 | − | 1.00031i | ||||
\(88\) | −0.427686 | + | 4.40901i | −0.0455915 | + | 0.470002i | ||||
\(89\) | −10.2497 | + | 10.2497i | −1.08647 | + | 1.08647i | −0.0905795 | + | 0.995889i | \(0.528872\pi\) |
−0.995889 | + | 0.0905795i | \(0.971128\pi\) | |||||||
\(90\) | −0.267505 | + | 3.55815i | −0.0281975 | + | 0.375062i | ||||
\(91\) | 2.34311 | + | 2.25853i | 0.245625 | + | 0.236758i | ||||
\(92\) | −3.15165 | + | 1.55807i | −0.328582 | + | 0.162440i | ||||
\(93\) | −0.677198 | + | 4.41196i | −0.0702222 | + | 0.457499i | ||||
\(94\) | 2.80004 | − | 17.0116i | 0.288802 | − | 1.75461i | ||||
\(95\) | 1.15885i | 0.118896i | ||||||||
\(96\) | 5.55519 | + | 8.07093i | 0.566974 | + | 0.823735i | ||||
\(97\) | 13.1901i | 1.33925i | 0.742697 | + | 0.669627i | \(0.233546\pi\) | ||||
−0.742697 | + | 0.669627i | \(0.766454\pi\) | |||||||
\(98\) | −6.06190 | − | 7.82645i | −0.612344 | − | 0.790591i | ||||
\(99\) | −0.413364 | − | 4.68020i | −0.0415446 | − | 0.470377i | ||||
\(100\) | 7.69622 | − | 3.80476i | 0.769622 | − | 0.380476i | ||||
\(101\) | −5.05862 | − | 12.2126i | −0.503351 | − | 1.21520i | −0.947648 | − | 0.319318i | \(-0.896546\pi\) |
0.444296 | − | 0.895880i | \(-0.353454\pi\) | |||||||
\(102\) | 0.126004 | − | 0.386123i | 0.0124763 | − | 0.0382318i | ||||
\(103\) | −0.491789 | − | 0.491789i | −0.0484574 | − | 0.0484574i | 0.682463 | − | 0.730920i | \(-0.260909\pi\) |
−0.730920 | + | 0.682463i | \(0.760909\pi\) | |||||||
\(104\) | 2.21108 | + | 2.68612i | 0.216814 | + | 0.263396i | ||||
\(105\) | 0.514614 | − | 3.81958i | 0.0502212 | − | 0.372752i | ||||
\(106\) | −2.34558 | − | 10.0373i | −0.227823 | − | 0.974911i | ||||
\(107\) | −3.25308 | − | 7.85363i | −0.314487 | − | 0.759239i | −0.999528 | − | 0.0307338i | \(-0.990216\pi\) |
0.685041 | − | 0.728505i | \(-0.259784\pi\) | |||||||
\(108\) | −7.36479 | − | 7.33211i | −0.708677 | − | 0.705533i | ||||
\(109\) | 3.97252 | − | 9.59052i | 0.380499 | − | 0.918605i | −0.611371 | − | 0.791344i | \(-0.709382\pi\) |
0.991869 | − | 0.127261i | \(-0.0406185\pi\) | |||||||
\(110\) | 1.51361 | − | 1.08576i | 0.144317 | − | 0.103523i | ||||
\(111\) | −0.456315 | − | 1.86147i | −0.0433115 | − | 0.176683i | ||||
\(112\) | −5.47686 | − | 9.05561i | −0.517514 | − | 0.855674i | ||||
\(113\) | 0.277797 | 0.0261330 | 0.0130665 | − | 0.999915i | \(-0.495841\pi\) | ||||
0.0130665 | + | 0.999915i | \(0.495841\pi\) | |||||||
\(114\) | −2.56367 | − | 2.19525i | −0.240110 | − | 0.205604i | ||||
\(115\) | 1.36589 | + | 0.565769i | 0.127370 | + | 0.0527582i | ||||
\(116\) | −8.29776 | + | 9.48056i | −0.770427 | + | 0.880248i | ||||
\(117\) | −2.82877 | − | 2.36964i | −0.261520 | − | 0.219073i | ||||
\(118\) | 0.154805 | + | 0.662449i | 0.0142509 | + | 0.0609834i | ||||
\(119\) | −0.160408 | + | 0.408328i | −0.0147046 | + | 0.0374313i | ||||
\(120\) | 1.01537 | − | 3.99312i | 0.0926903 | − | 0.364520i | ||||
\(121\) | 6.04379 | − | 6.04379i | 0.549435 | − | 0.549435i | ||||
\(122\) | 8.48530 | − | 13.6604i | 0.768223 | − | 1.23676i | ||||
\(123\) | −2.08995 | − | 2.84787i | −0.188445 | − | 0.256784i | ||||
\(124\) | 1.65195 | − | 4.88225i | 0.148349 | − | 0.438439i | ||||
\(125\) | −7.22051 | − | 2.99083i | −0.645822 | − | 0.267508i | ||||
\(126\) | 7.47502 | + | 8.37401i | 0.665928 | + | 0.746016i | ||||
\(127\) | −10.2436 | −0.908969 | −0.454485 | − | 0.890755i | \(-0.650177\pi\) | ||||
−0.454485 | + | 0.890755i | \(0.650177\pi\) | |||||||
\(128\) | −4.70468 | − | 10.2891i | −0.415839 | − | 0.909438i | ||||
\(129\) | 9.16967 | − | 2.24782i | 0.807345 | − | 0.197910i | ||||
\(130\) | 0.237609 | − | 1.44359i | 0.0208397 | − | 0.126611i | ||||
\(131\) | 8.30158 | + | 3.43863i | 0.725313 | + | 0.300434i | 0.714624 | − | 0.699509i | \(-0.246598\pi\) |
0.0106884 | + | 0.999943i | \(0.496598\pi\) | |||||||
\(132\) | −0.465295 | + | 5.40527i | −0.0404987 | + | 0.470469i | ||||
\(133\) | 2.62474 | + | 2.53000i | 0.227594 | + | 0.219378i | ||||
\(134\) | 7.20788 | + | 4.47724i | 0.622666 | + | 0.386774i | ||||
\(135\) | −0.280411 | + | 4.36112i | −0.0241339 | + | 0.375345i | ||||
\(136\) | −0.220473 | + | 0.413943i | −0.0189054 | + | 0.0354953i | ||||
\(137\) | 6.44132 | − | 6.44132i | 0.550319 | − | 0.550319i | −0.376214 | − | 0.926533i | \(-0.622774\pi\) |
0.926533 | + | 0.376214i | \(0.122774\pi\) | |||||||
\(138\) | −3.83907 | + | 1.94993i | −0.326803 | + | 0.165989i | ||||
\(139\) | 2.60635 | + | 6.29230i | 0.221068 | + | 0.533706i | 0.995036 | − | 0.0995197i | \(-0.0317306\pi\) |
−0.773967 | + | 0.633225i | \(0.781731\pi\) | |||||||
\(140\) | −1.34865 | + | 4.24104i | −0.113982 | + | 0.358434i | ||||
\(141\) | 3.20349 | − | 20.8708i | 0.269783 | − | 1.75764i | ||||
\(142\) | −10.5099 | − | 14.6514i | −0.881975 | − | 1.22952i | ||||
\(143\) | 1.92642i | 0.161096i | ||||||||
\(144\) | 6.91035 | + | 9.81056i | 0.575862 | + | 0.817547i | ||||
\(145\) | 5.29806 | 0.439980 | ||||||||
\(146\) | −2.21651 | + | 1.58998i | −0.183440 | + | 0.131588i | ||||
\(147\) | −7.52765 | − | 9.50444i | −0.620870 | − | 0.783913i | ||||
\(148\) | 0.146914 | + | 2.20820i | 0.0120762 | + | 0.181513i | ||||
\(149\) | −3.40062 | − | 8.20983i | −0.278590 | − | 0.672575i | 0.721207 | − | 0.692719i | \(-0.243588\pi\) |
−0.999797 | + | 0.0201440i | \(0.993588\pi\) | |||||||
\(150\) | 9.37488 | − | 4.76167i | 0.765456 | − | 0.388789i | ||||
\(151\) | −11.4450 | − | 11.4450i | −0.931379 | − | 0.931379i | 0.0664134 | − | 0.997792i | \(-0.478844\pi\) |
−0.997792 | + | 0.0664134i | \(0.978844\pi\) | |||||||
\(152\) | 2.47684 | + | 3.00898i | 0.200899 | + | 0.244061i | ||||
\(153\) | 0.149192 | − | 0.474545i | 0.0120615 | − | 0.0383647i | ||||
\(154\) | 0.845295 | − | 5.79867i | 0.0681158 | − | 0.467270i | ||||
\(155\) | −2.00242 | + | 0.829428i | −0.160838 | + | 0.0666213i | ||||
\(156\) | 2.74348 | + | 3.26029i | 0.219654 | + | 0.261032i | ||||
\(157\) | 1.88745 | − | 4.55670i | 0.150635 | − | 0.363664i | −0.830492 | − | 0.557030i | \(-0.811941\pi\) |
0.981127 | + | 0.193367i | \(0.0619406\pi\) | |||||||
\(158\) | 2.30335 | − | 13.9940i | 0.183245 | − | 1.11330i | ||||
\(159\) | −3.00570 | − | 12.2613i | −0.238368 | − | 0.972387i | ||||
\(160\) | −1.95283 | + | 4.33833i | −0.154385 | + | 0.342975i | ||||
\(161\) | 4.26343 | − | 1.85849i | 0.336006 | − | 0.146469i | ||||
\(162\) | −9.11671 | − | 8.88175i | −0.716277 | − | 0.697816i | ||||
\(163\) | −17.6484 | − | 7.31021i | −1.38233 | − | 0.572580i | −0.437227 | − | 0.899351i | \(-0.644039\pi\) |
−0.945104 | + | 0.326771i | \(0.894039\pi\) | |||||||
\(164\) | 1.80766 | + | 3.65651i | 0.141155 | + | 0.285525i | ||||
\(165\) | 1.83927 | − | 1.34978i | 0.143187 | − | 0.105080i | ||||
\(166\) | 1.04502 | − | 1.68238i | 0.0811096 | − | 0.130578i | ||||
\(167\) | 13.2264 | − | 13.2264i | 1.02349 | − | 1.02349i | 0.0237746 | − | 0.999717i | \(-0.492432\pi\) |
0.999717 | − | 0.0237746i | \(-0.00756841\pi\) | |||||||
\(168\) | −6.82747 | − | 11.0175i | −0.526751 | − | 0.850020i | ||||
\(169\) | −8.12252 | − | 8.12252i | −0.624810 | − | 0.624810i | ||||
\(170\) | 0.192046 | − | 0.0448784i | 0.0147293 | − | 0.00344201i | ||||
\(171\) | −3.16878 | − | 2.65446i | −0.242323 | − | 0.202992i | ||||
\(172\) | −10.8777 | + | 0.723701i | −0.829415 | + | 0.0551817i | ||||
\(173\) | −5.91916 | + | 14.2901i | −0.450025 | + | 1.08646i | 0.522286 | + | 0.852770i | \(0.325079\pi\) |
−0.972312 | + | 0.233687i | \(0.924921\pi\) | |||||||
\(174\) | −10.0363 | + | 11.7207i | −0.760849 | + | 0.888540i | ||||
\(175\) | −10.4112 | + | 4.53836i | −0.787010 | + | 0.343068i | ||||
\(176\) | 1.60949 | − | 6.05427i | 0.121319 | − | 0.456358i | ||||
\(177\) | 0.198372 | + | 0.809230i | 0.0149105 | + | 0.0608254i | ||||
\(178\) | 16.6570 | − | 11.9487i | 1.24850 | − | 0.895590i | ||||
\(179\) | −13.8650 | − | 5.74307i | −1.03632 | − | 0.429257i | −0.201330 | − | 0.979524i | \(-0.564526\pi\) |
−0.834989 | + | 0.550266i | \(0.814526\pi\) | |||||||
\(180\) | 1.19053 | − | 4.90373i | 0.0887371 | − | 0.365503i | ||||
\(181\) | 4.66611 | + | 11.2650i | 0.346829 | + | 0.837320i | 0.996990 | + | 0.0775239i | \(0.0247014\pi\) |
−0.650161 | + | 0.759796i | \(0.725299\pi\) | |||||||
\(182\) | −2.75092 | − | 3.68981i | −0.203911 | − | 0.273507i | ||||
\(183\) | 10.2105 | − | 16.8421i | 0.754784 | − | 1.24501i | ||||
\(184\) | 4.75579 | − | 1.45032i | 0.350601 | − | 0.106919i | ||||
\(185\) | 0.658059 | − | 0.658059i | 0.0483815 | − | 0.0483815i | ||||
\(186\) | 1.95834 | − | 6.00107i | 0.143592 | − | 0.440020i | ||||
\(187\) | −0.239922 | + | 0.0993788i | −0.0175448 | + | 0.00726730i | ||||
\(188\) | −7.81456 | + | 23.0955i | −0.569936 | + | 1.68441i | ||||
\(189\) | 9.26553 | + | 10.1563i | 0.673968 | + | 0.738760i | ||||
\(190\) | 0.266169 | − | 1.61710i | 0.0193099 | − | 0.117317i | ||||
\(191\) | 8.44039i | 0.610725i | 0.952236 | + | 0.305362i | \(0.0987776\pi\) | ||||
−0.952236 | + | 0.305362i | \(0.901222\pi\) | |||||||
\(192\) | −5.89817 | − | 12.5384i | −0.425664 | − | 0.904882i | ||||
\(193\) | 17.4061 | 1.25292 | 0.626460 | − | 0.779454i | \(-0.284503\pi\) | ||||
0.626460 | + | 0.779454i | \(0.284503\pi\) | |||||||
\(194\) | 3.02955 | − | 18.4060i | 0.217509 | − | 1.32147i | ||||
\(195\) | 0.271845 | − | 1.77108i | 0.0194673 | − | 0.126829i | ||||
\(196\) | 6.66140 | + | 12.3136i | 0.475814 | + | 0.879546i | ||||
\(197\) | −12.5900 | + | 5.21494i | −0.896999 | + | 0.371549i | −0.783066 | − | 0.621939i | \(-0.786345\pi\) |
−0.113933 | + | 0.993488i | \(0.536345\pi\) | |||||||
\(198\) | −0.498138 | + | 6.62586i | −0.0354011 | + | 0.470880i | ||||
\(199\) | 11.6249 | + | 11.6249i | 0.824068 | + | 0.824068i | 0.986689 | − | 0.162620i | \(-0.0519946\pi\) |
−0.162620 | + | 0.986689i | \(0.551995\pi\) | |||||||
\(200\) | −11.6135 | + | 3.54162i | −0.821197 | + | 0.250430i | ||||
\(201\) | 8.88669 | + | 5.38755i | 0.626819 | + | 0.380008i | ||||
\(202\) | 4.25396 | + | 18.2038i | 0.299308 | + | 1.28081i | ||||
\(203\) | 11.5667 | − | 11.9998i | 0.811821 | − | 0.842224i | ||||
\(204\) | −0.264517 | + | 0.509869i | −0.0185199 | + | 0.0356980i | ||||
\(205\) | 0.656399 | − | 1.58469i | 0.0458449 | − | 0.110679i | ||||
\(206\) | 0.573305 | + | 0.799216i | 0.0399440 | + | 0.0556840i | ||||
\(207\) | −4.67574 | + | 2.43895i | −0.324987 | + | 0.169519i | ||||
\(208\) | −2.46847 | − | 4.25616i | −0.171157 | − | 0.295112i | ||||
\(209\) | 2.15797i | 0.149270i | ||||||||
\(210\) | −1.59540 | + | 5.21178i | −0.110093 | + | 0.359647i | ||||
\(211\) | −4.97946 | + | 12.0215i | −0.342800 | + | 0.827592i | 0.654630 | + | 0.755949i | \(0.272824\pi\) |
−0.997430 | + | 0.0716433i | \(0.977176\pi\) | |||||||
\(212\) | 0.967705 | + | 14.5452i | 0.0664622 | + | 0.998968i | ||||
\(213\) | −13.0656 | − | 17.8038i | −0.895239 | − | 1.21989i | ||||
\(214\) | 2.73562 | + | 11.7064i | 0.187003 | + | 0.800234i | ||||
\(215\) | 3.24162 | + | 3.24162i | 0.221077 | + | 0.221077i | ||||
\(216\) | 8.59304 | + | 11.9231i | 0.584682 | + | 0.811262i | ||||
\(217\) | −2.49305 | + | 6.34618i | −0.169239 | + | 0.430807i | ||||
\(218\) | −7.74619 | + | 12.4705i | −0.524638 | + | 0.844612i | ||||
\(219\) | −2.69342 | + | 1.97661i | −0.182004 | + | 0.133567i | ||||
\(220\) | −2.36152 | + | 1.16746i | −0.159214 | + | 0.0787102i | ||||
\(221\) | −0.0780522 | + | 0.188435i | −0.00525036 | + | 0.0126755i | ||||
\(222\) | 0.209211 | + | 2.70238i | 0.0140413 | + | 0.181372i | ||||
\(223\) | 20.3447i | 1.36238i | 0.732106 | + | 0.681191i | \(0.238538\pi\) | ||||
−0.732106 | + | 0.681191i | \(0.761462\pi\) | |||||||
\(224\) | 5.56269 | + | 13.8945i | 0.371673 | + | 0.928364i | ||||
\(225\) | 11.4180 | − | 5.95584i | 0.761200 | − | 0.397056i | ||||
\(226\) | −0.387649 | − | 0.0638053i | −0.0257860 | − | 0.00424427i | ||||
\(227\) | 16.0142 | + | 6.63330i | 1.06290 | + | 0.440267i | 0.844480 | − | 0.535588i | \(-0.179910\pi\) |
0.218420 | + | 0.975855i | \(0.429910\pi\) | |||||||
\(228\) | 3.07324 | + | 3.65217i | 0.203530 | + | 0.241871i | ||||
\(229\) | −2.06190 | + | 0.854066i | −0.136254 | + | 0.0564383i | −0.449769 | − | 0.893145i | \(-0.648494\pi\) |
0.313515 | + | 0.949583i | \(0.398494\pi\) | |||||||
\(230\) | −1.77606 | − | 1.10322i | −0.117110 | − | 0.0727439i | ||||
\(231\) | 0.958296 | − | 7.11268i | 0.0630513 | − | 0.467980i | ||||
\(232\) | 13.7565 | − | 11.3237i | 0.903160 | − | 0.743436i | ||||
\(233\) | 11.2099 | − | 11.2099i | 0.734386 | − | 0.734386i | −0.237100 | − | 0.971485i | \(-0.576197\pi\) |
0.971485 | + | 0.237100i | \(0.0761968\pi\) | |||||||
\(234\) | 3.40311 | + | 3.95640i | 0.222468 | + | 0.258638i | ||||
\(235\) | 9.47245 | − | 3.92362i | 0.617915 | − | 0.255949i | ||||
\(236\) | −0.0638671 | − | 0.959962i | −0.00415739 | − | 0.0624882i | ||||
\(237\) | 2.63524 | − | 17.1686i | 0.171177 | − | 1.11522i | ||||
\(238\) | 0.317626 | − | 0.532953i | 0.0205886 | − | 0.0345462i | ||||
\(239\) | 12.5593 | 0.812394 | 0.406197 | − | 0.913785i | \(-0.366855\pi\) | ||||
0.406197 | + | 0.913785i | \(0.366855\pi\) | |||||||
\(240\) | −2.33404 | + | 5.33894i | −0.150662 | + | 0.344627i | ||||
\(241\) | −21.5549 | −1.38847 | −0.694236 | − | 0.719747i | \(-0.744258\pi\) | ||||
−0.694236 | + | 0.719747i | \(0.744258\pi\) | |||||||
\(242\) | −9.82189 | + | 7.04557i | −0.631375 | + | 0.452907i | ||||
\(243\) | −11.2828 | − | 10.7563i | −0.723792 | − | 0.690018i | ||||
\(244\) | −14.9783 | + | 17.1134i | −0.958886 | + | 1.09557i | ||||
\(245\) | 2.05154 | − | 5.51820i | 0.131068 | − | 0.352545i | ||||
\(246\) | 2.26229 | + | 4.45405i | 0.144239 | + | 0.283980i | ||||
\(247\) | 1.19846 | + | 1.19846i | 0.0762560 | + | 0.0762560i | ||||
\(248\) | −3.42656 | + | 6.43345i | −0.217587 | + | 0.408524i | ||||
\(249\) | 1.25750 | − | 2.07422i | 0.0796907 | − | 0.131449i | ||||
\(250\) | 9.38882 | + | 5.83195i | 0.593801 | + | 0.368845i | ||||
\(251\) | −7.78437 | − | 18.7931i | −0.491345 | − | 1.18621i | −0.954036 | − | 0.299692i | \(-0.903116\pi\) |
0.462691 | − | 0.886520i | \(-0.346884\pi\) | |||||||
\(252\) | −8.50756 | − | 13.4023i | −0.535926 | − | 0.844265i | ||||
\(253\) | 2.54351 | + | 1.05356i | 0.159909 | + | 0.0662365i | ||||
\(254\) | 14.2942 | + | 2.35277i | 0.896901 | + | 0.147626i | ||||
\(255\) | 0.234598 | − | 0.0575086i | 0.0146911 | − | 0.00360133i | ||||
\(256\) | 4.20185 | + | 15.4384i | 0.262615 | + | 0.964901i | ||||
\(257\) | 0.508541 | 0.0317219 | 0.0158610 | − | 0.999874i | \(-0.494951\pi\) | ||||
0.0158610 | + | 0.999874i | \(0.494951\pi\) | |||||||
\(258\) | −13.3120 | + | 1.03058i | −0.828768 | + | 0.0641610i | ||||
\(259\) | −0.0538030 | − | 2.92714i | −0.00334316 | − | 0.181884i | ||||
\(260\) | −0.663136 | + | 1.95986i | −0.0411260 | + | 0.121546i | ||||
\(261\) | −12.1357 | + | 14.4871i | −0.751182 | + | 0.896728i | ||||
\(262\) | −10.7945 | − | 6.70512i | −0.666889 | − | 0.414244i | ||||
\(263\) | 12.9789 | + | 12.9789i | 0.800313 | + | 0.800313i | 0.983144 | − | 0.182831i | \(-0.0585261\pi\) |
−0.182831 | + | 0.983144i | \(0.558526\pi\) | |||||||
\(264\) | 1.89079 | − | 7.43585i | 0.116370 | − | 0.457645i | ||||
\(265\) | 4.33457 | − | 4.33457i | 0.266270 | − | 0.266270i | ||||
\(266\) | −3.08157 | − | 4.13331i | −0.188943 | − | 0.253429i | ||||
\(267\) | 20.2409 | − | 14.8541i | 1.23873 | − | 0.909059i | ||||
\(268\) | −9.02980 | − | 7.90323i | −0.551583 | − | 0.482767i | ||||
\(269\) | −8.45970 | + | 20.4235i | −0.515797 | + | 1.24524i | 0.424667 | + | 0.905350i | \(0.360391\pi\) |
−0.940464 | + | 0.339894i | \(0.889609\pi\) | |||||||
\(270\) | 1.39297 | − | 6.02126i | 0.0847735 | − | 0.366442i | ||||
\(271\) | −23.6001 | −1.43360 | −0.716801 | − | 0.697278i | \(-0.754394\pi\) | ||||
−0.716801 | + | 0.697278i | \(0.754394\pi\) | |||||||
\(272\) | 0.402732 | − | 0.526993i | 0.0244192 | − | 0.0319536i | ||||
\(273\) | −3.41791 | − | 4.48232i | −0.206862 | − | 0.271282i | ||||
\(274\) | −10.4679 | + | 7.50899i | −0.632390 | + | 0.453635i | ||||
\(275\) | −6.21116 | − | 2.57275i | −0.374547 | − | 0.155142i | ||||
\(276\) | 5.80505 | − | 1.83924i | 0.349423 | − | 0.110709i | ||||
\(277\) | −20.6432 | + | 8.55070i | −1.24033 | + | 0.513762i | −0.903818 | − | 0.427917i | \(-0.859248\pi\) |
−0.336513 | + | 0.941679i | \(0.609248\pi\) | |||||||
\(278\) | −2.19177 | − | 9.37914i | −0.131454 | − | 0.562524i | ||||
\(279\) | 2.31873 | − | 7.37533i | 0.138819 | − | 0.441549i | ||||
\(280\) | 2.85605 | − | 5.60835i | 0.170682 | − | 0.335163i | ||||
\(281\) | −21.0524 | − | 21.0524i | −1.25588 | − | 1.25588i | −0.953042 | − | 0.302837i | \(-0.902066\pi\) |
−0.302837 | − | 0.953042i | \(-0.597934\pi\) | |||||||
\(282\) | −9.26395 | + | 28.3881i | −0.551660 | + | 1.69049i | ||||
\(283\) | 16.9455 | − | 7.01905i | 1.00730 | − | 0.417239i | 0.182834 | − | 0.983144i | \(-0.441473\pi\) |
0.824471 | + | 0.565904i | \(0.191473\pi\) | |||||||
\(284\) | 11.3008 | + | 22.8591i | 0.670578 | + | 1.35644i | ||||
\(285\) | 0.304520 | − | 1.98396i | 0.0180382 | − | 0.117519i | ||||
\(286\) | 0.442467 | − | 2.68820i | 0.0261636 | − | 0.158957i | ||||
\(287\) | −2.15620 | − | 4.94639i | −0.127276 | − | 0.291976i | ||||
\(288\) | −7.38964 | − | 15.2772i | −0.435438 | − | 0.900219i | ||||
\(289\) | 16.9725 | 0.998383 | ||||||||
\(290\) | −7.39311 | − | 1.21687i | −0.434138 | − | 0.0714573i | ||||
\(291\) | 3.46607 | − | 22.5815i | 0.203185 | − | 1.32375i | ||||
\(292\) | 3.45820 | − | 1.70962i | 0.202376 | − | 0.100048i | ||||
\(293\) | −9.03760 | − | 21.8187i | −0.527982 | − | 1.27466i | −0.932843 | − | 0.360283i | \(-0.882680\pi\) |
0.404861 | − | 0.914378i | \(-0.367320\pi\) | |||||||
\(294\) | 8.32136 | + | 14.9918i | 0.485312 | + | 0.874341i | ||||
\(295\) | −0.286075 | + | 0.286075i | −0.0166559 | + | 0.0166559i | ||||
\(296\) | 0.302178 | − | 3.11515i | 0.0175637 | − | 0.181065i | ||||
\(297\) | −0.522171 | + | 8.12112i | −0.0302995 | + | 0.471235i | ||||
\(298\) | 2.85970 | + | 12.2374i | 0.165658 | + | 0.708892i | ||||
\(299\) | 1.99767 | − | 0.827464i | 0.115528 | − | 0.0478535i | ||||
\(300\) | −14.1757 | + | 4.49137i | −0.818437 | + | 0.259309i | ||||
\(301\) | 14.4192 | − | 0.265035i | 0.831108 | − | 0.0152764i | ||||
\(302\) | 13.3420 | + | 18.5995i | 0.767748 | + | 1.07028i | ||||
\(303\) | 5.45117 | + | 22.2373i | 0.313161 | + | 1.27750i | ||||
\(304\) | −2.76517 | − | 4.76774i | −0.158593 | − | 0.273449i | ||||
\(305\) | 9.56352 | 0.547605 | ||||||||
\(306\) | −0.317184 | + | 0.627931i | −0.0181322 | + | 0.0358965i | ||||
\(307\) | 17.0929 | + | 7.08010i | 0.975542 | + | 0.404083i | 0.812772 | − | 0.582582i | \(-0.197957\pi\) |
0.162769 | + | 0.986664i | \(0.447957\pi\) | |||||||
\(308\) | −2.51141 | + | 7.89753i | −0.143101 | + | 0.450003i | ||||
\(309\) | 0.712712 | + | 0.971174i | 0.0405448 | + | 0.0552482i | ||||
\(310\) | 2.98475 | − | 0.697494i | 0.169523 | − | 0.0396150i | ||||
\(311\) | −0.0872943 | − | 0.0872943i | −0.00495000 | − | 0.00495000i | 0.704627 | − | 0.709577i | \(-0.251114\pi\) |
−0.709577 | + | 0.704627i | \(0.751114\pi\) | |||||||
\(312\) | −3.07952 | − | 5.17966i | −0.174343 | − | 0.293241i | ||||
\(313\) | −4.13430 | − | 4.13430i | −0.233684 | − | 0.233684i | 0.580544 | − | 0.814229i | \(-0.302840\pi\) |
−0.814229 | + | 0.580544i | \(0.802840\pi\) | |||||||
\(314\) | −3.68041 | + | 5.92507i | −0.207697 | + | 0.334371i | ||||
\(315\) | −1.88472 | + | 6.40389i | −0.106192 | + | 0.360818i | ||||
\(316\) | −6.42836 | + | 18.9987i | −0.361624 | + | 1.06876i | ||||
\(317\) | −4.16797 | + | 10.0624i | −0.234097 | + | 0.565159i | −0.996652 | − | 0.0817641i | \(-0.973945\pi\) |
0.762555 | + | 0.646923i | \(0.223945\pi\) | |||||||
\(318\) | 1.37805 | + | 17.8003i | 0.0772771 | + | 0.998190i | ||||
\(319\) | 9.86586 | 0.552382 | ||||||||
\(320\) | 3.72150 | − | 5.60533i | 0.208038 | − | 0.313348i | ||||
\(321\) | 3.50552 | + | 14.3003i | 0.195659 | + | 0.798162i | ||||
\(322\) | −6.37622 | + | 1.61416i | −0.355333 | + | 0.0899538i | ||||
\(323\) | −0.0874338 | + | 0.211084i | −0.00486495 | + | 0.0117450i | ||||
\(324\) | 10.6818 | + | 14.4879i | 0.593434 | + | 0.804883i | ||||
\(325\) | −4.87825 | + | 2.02064i | −0.270597 | + | 0.112085i | ||||
\(326\) | 22.9482 | + | 14.2545i | 1.27098 | + | 0.789483i | ||||
\(327\) | −9.32114 | + | 15.3751i | −0.515460 | + | 0.850244i | ||||
\(328\) | −1.68264 | − | 5.51762i | −0.0929083 | − | 0.304659i | ||||
\(329\) | 11.7934 | − | 30.0207i | 0.650190 | − | 1.65509i | ||||
\(330\) | −2.87661 | + | 1.46108i | −0.158352 | + | 0.0804299i | ||||
\(331\) | 24.3963 | − | 10.1053i | 1.34094 | − | 0.555437i | 0.407187 | − | 0.913345i | \(-0.366510\pi\) |
0.933757 | + | 0.357907i | \(0.116510\pi\) | |||||||
\(332\) | −1.84468 | + | 2.10763i | −0.101240 | + | 0.115671i | ||||
\(333\) | 0.292059 | + | 3.30675i | 0.0160047 | + | 0.181209i | ||||
\(334\) | −21.4945 | + | 15.4188i | −1.17613 | + | 0.843678i | ||||
\(335\) | 5.04616i | 0.275701i | ||||||||
\(336\) | 6.99678 | + | 16.9424i | 0.381705 | + | 0.924284i | ||||
\(337\) | 21.2947i | 1.16000i | 0.814617 | + | 0.579999i | \(0.196947\pi\) | ||||
−0.814617 | + | 0.579999i | \(0.803053\pi\) | |||||||
\(338\) | 9.46887 | + | 13.2001i | 0.515039 | + | 0.717990i | ||||
\(339\) | −0.475589 | − | 0.0729989i | −0.0258305 | − | 0.00396475i | ||||
\(340\) | −0.278296 | + | 0.0185153i | −0.0150927 | + | 0.00100413i | ||||
\(341\) | −3.72883 | + | 1.54453i | −0.201928 | + | 0.0836411i | ||||
\(342\) | 3.81215 | + | 4.43195i | 0.206138 | + | 0.239652i | ||||
\(343\) | −8.01955 | − | 16.6939i | −0.433015 | − | 0.901387i | ||||
\(344\) | 15.3453 | + | 1.48854i | 0.827365 | + | 0.0802566i | ||||
\(345\) | −2.18973 | − | 1.32752i | −0.117891 | − | 0.0714714i | ||||
\(346\) | 11.5420 | − | 18.5814i | 0.620503 | − | 0.998944i | ||||
\(347\) | −20.2939 | + | 8.40601i | −1.08943 | + | 0.451258i | −0.853809 | − | 0.520586i | \(-0.825714\pi\) |
−0.235625 | + | 0.971844i | \(0.575714\pi\) | |||||||
\(348\) | 16.6970 | − | 14.0503i | 0.895056 | − | 0.753173i | ||||
\(349\) | −4.99299 | + | 12.0541i | −0.267269 | + | 0.645243i | −0.999353 | − | 0.0359707i | \(-0.988548\pi\) |
0.732084 | + | 0.681214i | \(0.238548\pi\) | |||||||
\(350\) | 15.5705 | − | 3.94173i | 0.832279 | − | 0.210694i | ||||
\(351\) | 4.22017 | + | 4.80016i | 0.225256 | + | 0.256214i | ||||
\(352\) | −3.63650 | + | 8.07868i | −0.193826 | + | 0.430595i | ||||
\(353\) | 4.43402 | 0.235999 | 0.118000 | − | 0.993014i | \(-0.462352\pi\) | ||||
0.118000 | + | 0.993014i | \(0.462352\pi\) | |||||||
\(354\) | −0.0909492 | − | 1.17479i | −0.00483390 | − | 0.0624395i | ||||
\(355\) | 4.10355 | − | 9.90685i | 0.217794 | − | 0.525801i | ||||
\(356\) | −25.9883 | + | 12.8478i | −1.37738 | + | 0.680930i | ||||
\(357\) | 0.381919 | − | 0.656906i | 0.0202133 | − | 0.0347672i | ||||
\(358\) | 18.0287 | + | 11.1987i | 0.952844 | + | 0.591867i | ||||
\(359\) | −1.91654 | − | 1.91654i | −0.101151 | − | 0.101151i | 0.654720 | − | 0.755871i | \(-0.272786\pi\) |
−0.755871 | + | 0.654720i | \(0.772786\pi\) | |||||||
\(360\) | −2.78762 | + | 6.56941i | −0.146920 | + | 0.346238i | ||||
\(361\) | −12.0925 | − | 12.0925i | −0.636448 | − | 0.636448i | ||||
\(362\) | −3.92389 | − | 16.7913i | −0.206235 | − | 0.882532i | ||||
\(363\) | −11.9351 | + | 8.75880i | −0.626433 | + | 0.459718i | ||||
\(364\) | 2.99125 | + | 5.78073i | 0.156784 | + | 0.302993i | ||||
\(365\) | −1.49874 | − | 0.620800i | −0.0784478 | − | 0.0324941i | ||||
\(366\) | −18.1165 | + | 21.1569i | −0.946964 | + | 1.10589i | ||||
\(367\) | −6.41751 | −0.334991 | −0.167496 | − | 0.985873i | \(-0.553568\pi\) | ||||
−0.167496 | + | 0.985873i | \(0.553568\pi\) | |||||||
\(368\) | −6.96952 | + | 0.931499i | −0.363311 | + | 0.0485578i | ||||
\(369\) | 2.82965 | + | 5.42475i | 0.147306 | + | 0.282401i | ||||
\(370\) | −1.06943 | + | 0.767135i | −0.0555968 | + | 0.0398815i | ||||
\(371\) | −0.354395 | − | 19.2808i | −0.0183993 | − | 1.00101i | ||||
\(372\) | −4.11109 | + | 7.92432i | −0.213150 | + | 0.410857i | ||||
\(373\) | −30.3347 | + | 12.5651i | −1.57067 | + | 0.650594i | −0.986902 | − | 0.161324i | \(-0.948424\pi\) |
−0.583772 | + | 0.811918i | \(0.698424\pi\) | |||||||
\(374\) | 0.357621 | − | 0.0835710i | 0.0184922 | − | 0.00432135i | ||||
\(375\) | 11.5756 | + | 7.01769i | 0.597761 | + | 0.362392i | ||||
\(376\) | 16.2094 | − | 30.4335i | 0.835935 | − | 1.56949i | ||||
\(377\) | 5.47913 | − | 5.47913i | 0.282189 | − | 0.282189i | ||||
\(378\) | −10.5967 | − | 16.3006i | −0.545038 | − | 0.838411i | ||||
\(379\) | 13.1729 | + | 31.8022i | 0.676646 | + | 1.63357i | 0.770084 | + | 0.637943i | \(0.220214\pi\) |
−0.0934376 | + | 0.995625i | \(0.529786\pi\) | |||||||
\(380\) | −0.742843 | + | 2.19543i | −0.0381071 | + | 0.112623i | ||||
\(381\) | 17.5370 | + | 2.69178i | 0.898447 | + | 0.137904i | ||||
\(382\) | 1.93861 | − | 11.7780i | 0.0991881 | − | 0.602617i | ||||
\(383\) | −8.61741 | −0.440329 | −0.220164 | − | 0.975463i | \(-0.570659\pi\) | ||||
−0.220164 | + | 0.975463i | \(0.570659\pi\) | |||||||
\(384\) | 5.35066 | + | 18.8513i | 0.273050 | + | 0.962000i | ||||
\(385\) | 3.19458 | − | 1.39256i | 0.162811 | − | 0.0709714i | ||||
\(386\) | −24.2891 | − | 3.99789i | −1.23628 | − | 0.203487i | ||||
\(387\) | −16.2892 | + | 1.43869i | −0.828025 | + | 0.0731328i | ||||
\(388\) | −8.45509 | + | 24.9886i | −0.429242 | + | 1.26860i | ||||
\(389\) | −3.79626 | + | 1.57246i | −0.192478 | + | 0.0797270i | −0.476840 | − | 0.878990i | \(-0.658218\pi\) |
0.284363 | + | 0.958717i | \(0.408218\pi\) | |||||||
\(390\) | −0.786130 | + | 2.40899i | −0.0398072 | + | 0.121984i | ||||
\(391\) | 0.206109 | + | 0.206109i | 0.0104234 | + | 0.0104234i | ||||
\(392\) | −6.46733 | − | 18.7129i | −0.326649 | − | 0.945146i | ||||
\(393\) | −13.3087 | − | 8.06841i | −0.671336 | − | 0.406997i | ||||
\(394\) | 18.7663 | − | 4.38542i | 0.945433 | − | 0.220934i | ||||
\(395\) | 7.79217 | − | 3.22762i | 0.392066 | − | 0.162399i | ||||
\(396\) | 2.21697 | − | 9.13156i | 0.111407 | − | 0.458878i | ||||
\(397\) | 35.0256 | + | 14.5081i | 1.75789 | + | 0.728140i | 0.996840 | + | 0.0794414i | \(0.0253136\pi\) |
0.761046 | + | 0.648698i | \(0.224686\pi\) | |||||||
\(398\) | −13.5518 | − | 18.8919i | −0.679290 | − | 0.946965i | ||||
\(399\) | −3.82874 | − | 5.02108i | −0.191677 | − | 0.251368i | ||||
\(400\) | 17.0193 | − | 2.27469i | 0.850967 | − | 0.113735i | ||||
\(401\) | −1.11939 | −0.0558999 | −0.0279500 | − | 0.999609i | \(-0.508898\pi\) | ||||
−0.0279500 | + | 0.999609i | \(0.508898\pi\) | |||||||
\(402\) | −11.1634 | − | 9.55911i | −0.556779 | − | 0.476765i | ||||
\(403\) | −1.21308 | + | 2.92863i | −0.0604277 | + | 0.145885i | ||||
\(404\) | −1.75504 | − | 26.3793i | −0.0873164 | − | 1.31242i | ||||
\(405\) | 1.62607 | − | 7.39255i | 0.0808000 | − | 0.367339i | ||||
\(406\) | −18.8967 | + | 14.0884i | −0.937829 | + | 0.699194i | ||||
\(407\) | 1.22541 | − | 1.22541i | 0.0607416 | − | 0.0607416i | ||||
\(408\) | 0.486225 | − | 0.650735i | 0.0240717 | − | 0.0322162i | ||||
\(409\) | −11.7970 | − | 11.7970i | −0.583322 | − | 0.583322i | 0.352493 | − | 0.935815i | \(-0.385334\pi\) |
−0.935815 | + | 0.352493i | \(0.885334\pi\) | |||||||
\(410\) | −1.27994 | + | 2.06057i | −0.0632117 | + | 0.101764i | ||||
\(411\) | −12.7202 | + | 9.33491i | −0.627440 | + | 0.460457i | ||||
\(412\) | −0.616445 | − | 1.24693i | −0.0303701 | − | 0.0614320i | ||||
\(413\) | 0.0233895 | + | 1.27250i | 0.00115092 | + | 0.0626158i | ||||
\(414\) | 7.08489 | − | 2.32947i | 0.348204 | − | 0.114487i | ||||
\(415\) | 1.17781 | 0.0578166 | ||||||||
\(416\) | 2.46702 | + | 6.50617i | 0.120956 | + | 0.318991i | ||||
\(417\) | −2.80861 | − | 11.4573i | −0.137538 | − | 0.561067i | ||||
\(418\) | 0.495650 | − | 3.01132i | 0.0242430 | − | 0.147288i | ||||
\(419\) | 3.98473 | + | 1.65053i | 0.194667 | + | 0.0806337i | 0.477887 | − | 0.878421i | \(-0.341403\pi\) |
−0.283220 | + | 0.959055i | \(0.591403\pi\) | |||||||
\(420\) | 3.42334 | − | 6.90628i | 0.167042 | − | 0.336992i | ||||
\(421\) | −0.829840 | − | 2.00341i | −0.0404439 | − | 0.0976403i | 0.902367 | − | 0.430969i | \(-0.141828\pi\) |
−0.942811 | + | 0.333329i | \(0.891828\pi\) | |||||||
\(422\) | 9.70965 | − | 15.6315i | 0.472658 | − | 0.760930i | ||||
\(423\) | −10.9688 | + | 34.8890i | −0.533320 | + | 1.69636i | ||||
\(424\) | 1.99042 | − | 20.5192i | 0.0966631 | − | 0.996500i | ||||
\(425\) | −0.503311 | − | 0.503311i | −0.0244142 | − | 0.0244142i | ||||
\(426\) | 14.1430 | + | 27.8450i | 0.685229 | + | 1.34909i | ||||
\(427\) | 20.8790 | − | 21.6609i | 1.01041 | − | 1.04824i | ||||
\(428\) | −1.12862 | − | 16.9639i | −0.0545541 | − | 0.819981i | ||||
\(429\) | 0.506221 | − | 3.29804i | 0.0244406 | − | 0.159231i | ||||
\(430\) | −3.77893 | − | 5.26802i | −0.182236 | − | 0.254047i | ||||
\(431\) | −21.7012 | −1.04531 | −0.522654 | − | 0.852545i | \(-0.675058\pi\) | ||||
−0.522654 | + | 0.852545i | \(0.675058\pi\) | |||||||
\(432\) | −9.25252 | − | 18.6116i | −0.445162 | − | 0.895450i | ||||
\(433\) | −35.7603 | −1.71853 | −0.859264 | − | 0.511532i | \(-0.829078\pi\) | ||||
−0.859264 | + | 0.511532i | \(0.829078\pi\) | |||||||
\(434\) | 4.93650 | − | 8.28309i | 0.236960 | − | 0.397601i | ||||
\(435\) | −9.07028 | − | 1.39221i | −0.434887 | − | 0.0667514i | ||||
\(436\) | 13.6736 | − | 15.6227i | 0.654846 | − | 0.748192i | ||||
\(437\) | 2.23779 | − | 0.926922i | 0.107048 | − | 0.0443407i | ||||
\(438\) | 4.21249 | − | 2.13960i | 0.201280 | − | 0.102234i | ||||
\(439\) | −15.6600 | + | 15.6600i | −0.747409 | + | 0.747409i | −0.973992 | − | 0.226583i | \(-0.927245\pi\) |
0.226583 | + | 0.973992i | \(0.427245\pi\) | |||||||
\(440\) | 3.56350 | − | 1.08672i | 0.169883 | − | 0.0518072i | ||||
\(441\) | 10.3898 | + | 18.2497i | 0.494752 | + | 0.869034i | ||||
\(442\) | 0.152197 | − | 0.245022i | 0.00723929 | − | 0.0116545i | ||||
\(443\) | 22.4961 | − | 9.31817i | 1.06882 | − | 0.442720i | 0.222246 | − | 0.974991i | \(-0.428661\pi\) |
0.846574 | + | 0.532271i | \(0.178661\pi\) | |||||||
\(444\) | 0.328750 | − | 3.81905i | 0.0156018 | − | 0.181244i | ||||
\(445\) | 11.2630 | + | 4.66529i | 0.533918 | + | 0.221156i | ||||
\(446\) | 4.67283 | − | 28.3898i | 0.221265 | − | 1.34429i | ||||
\(447\) | 3.66451 | + | 14.9488i | 0.173325 | + | 0.707056i | ||||
\(448\) | −4.57107 | − | 20.6665i | −0.215963 | − | 0.976402i | ||||
\(449\) | − | 7.72616i | − | 0.364620i | −0.983241 | − | 0.182310i | \(-0.941643\pi\) | ||
0.983241 | − | 0.182310i | \(-0.0583574\pi\) | |||||||
\(450\) | −17.3011 | + | 5.68848i | −0.815580 | + | 0.268158i | ||||
\(451\) | 1.22232 | − | 2.95095i | 0.0575570 | − | 0.138955i | ||||
\(452\) | 0.526284 | + | 0.178073i | 0.0247543 | + | 0.00837583i | ||||
\(453\) | 16.5863 | + | 22.6013i | 0.779294 | + | 1.06190i | ||||
\(454\) | −20.8232 | − | 12.9345i | −0.977283 | − | 0.607048i | ||||
\(455\) | 1.00077 | − | 2.54753i | 0.0469170 | − | 0.119430i | ||||
\(456\) | −3.44967 | − | 5.80224i | −0.161545 | − | 0.271715i | ||||
\(457\) | −5.84818 | − | 5.84818i | −0.273566 | − | 0.273566i | 0.556968 | − | 0.830534i | \(-0.311965\pi\) |
−0.830534 | + | 0.556968i | \(0.811965\pi\) | |||||||
\(458\) | 3.07341 | − | 0.718213i | 0.143611 | − | 0.0335599i | ||||
\(459\) | −0.380117 | + | 0.773218i | −0.0177424 | + | 0.0360907i | ||||
\(460\) | 2.22499 | + | 1.94740i | 0.103741 | + | 0.0907980i | ||||
\(461\) | 10.7031 | − | 25.8395i | 0.498493 | − | 1.20347i | −0.451803 | − | 0.892118i | \(-0.649219\pi\) |
0.950295 | − | 0.311350i | \(-0.100781\pi\) | |||||||
\(462\) | −2.97091 | + | 9.70520i | −0.138219 | + | 0.451527i | ||||
\(463\) | 13.8579i | 0.644030i | 0.946735 | + | 0.322015i | \(0.104360\pi\) | ||||
−0.946735 | + | 0.322015i | \(0.895640\pi\) | |||||||
\(464\) | −21.7972 | + | 12.6418i | −1.01191 | + | 0.586883i | ||||
\(465\) | 3.64610 | − | 0.893792i | 0.169084 | − | 0.0414486i | ||||
\(466\) | −18.2175 | + | 13.0680i | −0.843907 | + | 0.605364i | ||||
\(467\) | −6.39245 | + | 15.4327i | −0.295807 | + | 0.714142i | 0.704184 | + | 0.710017i | \(0.251313\pi\) |
−0.999991 | + | 0.00412456i | \(0.998687\pi\) | |||||||
\(468\) | −3.84011 | − | 6.30255i | −0.177509 | − | 0.291335i | ||||
\(469\) | 11.4293 | + | 11.0167i | 0.527756 | + | 0.508705i | ||||
\(470\) | −14.1194 | + | 3.29950i | −0.651280 | + | 0.152195i | ||||
\(471\) | −4.42871 | + | 7.30509i | −0.204064 | + | 0.336601i | ||||
\(472\) | −0.131364 | + | 1.35424i | −0.00604654 | + | 0.0623338i | ||||
\(473\) | 6.03643 | + | 6.03643i | 0.277555 | + | 0.277555i | ||||
\(474\) | −7.62064 | + | 23.3524i | −0.350028 | + | 1.07261i | ||||
\(475\) | −5.46460 | + | 2.26351i | −0.250733 | + | 0.103857i | ||||
\(476\) | −0.565637 | + | 0.670749i | −0.0259259 | + | 0.0307437i | ||||
\(477\) | 1.92376 | + | 21.7812i | 0.0880830 | + | 0.997295i | ||||
\(478\) | −17.5257 | − | 2.88466i | −0.801608 | − | 0.131941i | ||||
\(479\) | −7.64704 | −0.349402 | −0.174701 | − | 0.984622i | \(-0.555896\pi\) | ||||
−0.174701 | + | 0.984622i | \(0.555896\pi\) | |||||||
\(480\) | 4.48327 | − | 6.91406i | 0.204632 | − | 0.315582i | ||||
\(481\) | − | 1.36110i | − | 0.0620608i | ||||||
\(482\) | 30.0785 | + | 4.95079i | 1.37004 | + | 0.225502i | ||||
\(483\) | −7.78737 | + | 2.06140i | −0.354338 | + | 0.0937968i | ||||
\(484\) | 15.3241 | − | 7.57574i | 0.696549 | − | 0.344352i | ||||
\(485\) | 10.2489 | − | 4.24522i | 0.465377 | − | 0.192766i | ||||
\(486\) | 13.2739 | + | 17.6012i | 0.602116 | + | 0.798409i | ||||
\(487\) | 15.7143 | − | 15.7143i | 0.712082 | − | 0.712082i | −0.254888 | − | 0.966971i | \(-0.582039\pi\) |
0.966971 | + | 0.254888i | \(0.0820387\pi\) | |||||||
\(488\) | 24.8319 | − | 20.4404i | 1.12409 | − | 0.925292i | ||||
\(489\) | 28.2931 | + | 17.1527i | 1.27946 | + | 0.775672i | ||||
\(490\) | −4.13023 | + | 7.22910i | −0.186585 | + | 0.326577i | ||||
\(491\) | 2.59925 | + | 6.27514i | 0.117302 | + | 0.283193i | 0.971616 | − | 0.236566i | \(-0.0760218\pi\) |
−0.854313 | + | 0.519759i | \(0.826022\pi\) | |||||||
\(492\) | −2.13387 | − | 6.73496i | −0.0962023 | − | 0.303635i | ||||
\(493\) | 0.965037 | + | 0.399731i | 0.0434631 | + | 0.0180030i | ||||
\(494\) | −1.39711 | − | 1.94764i | −0.0628588 | − | 0.0876284i | ||||
\(495\) | −3.50352 | + | 1.82750i | −0.157472 | + | 0.0821401i | ||||
\(496\) | 6.25921 | − | 8.19045i | 0.281047 | − | 0.367762i | ||||
\(497\) | −13.4797 | − | 30.9229i | −0.604647 | − | 1.38708i | ||||
\(498\) | −2.23117 | + | 2.60563i | −0.0999813 | + | 0.116761i | ||||
\(499\) | 7.36689 | − | 17.7852i | 0.329787 | − | 0.796177i | −0.668820 | − | 0.743424i | \(-0.733200\pi\) |
0.998608 | − | 0.0527529i | \(-0.0167996\pi\) | |||||||
\(500\) | −11.7620 | − | 10.2946i | −0.526013 | − | 0.460387i | ||||
\(501\) | −26.1193 | + | 19.1681i | −1.16692 | + | 0.856366i | ||||
\(502\) | 6.54613 | + | 28.0126i | 0.292168 | + | 1.25026i | ||||
\(503\) | 15.3002 | + | 15.3002i | 0.682200 | + | 0.682200i | 0.960496 | − | 0.278295i | \(-0.0897694\pi\) |
−0.278295 | + | 0.960496i | \(0.589769\pi\) | |||||||
\(504\) | 8.79349 | + | 20.6561i | 0.391693 | + | 0.920096i | ||||
\(505\) | −7.86121 | + | 7.86121i | −0.349819 | + | 0.349819i | ||||
\(506\) | −3.30732 | − | 2.05437i | −0.147028 | − | 0.0913280i | ||||
\(507\) | 11.7714 | + | 16.0402i | 0.522784 | + | 0.712370i | ||||
\(508\) | −19.4063 | − | 6.56629i | −0.861017 | − | 0.291332i | ||||
\(509\) | −17.2973 | − | 7.16476i | −0.766688 | − | 0.317572i | −0.0351578 | − | 0.999382i | \(-0.511193\pi\) |
−0.731530 | + | 0.681809i | \(0.761193\pi\) | |||||||
\(510\) | −0.340576 | + | 0.0263665i | −0.0150810 | + | 0.00116753i | ||||
\(511\) | −4.67812 | + | 2.03926i | −0.206948 | + | 0.0902114i | ||||
\(512\) | −2.31747 | − | 22.5084i | −0.102419 | − | 0.994741i | ||||
\(513\) | 4.72742 | + | 5.37713i | 0.208721 | + | 0.237406i | ||||
\(514\) | −0.709637 | − | 0.116803i | −0.0313007 | − | 0.00515197i | ||||
\(515\) | −0.223844 | + | 0.540407i | −0.00986374 | + | 0.0238132i | ||||
\(516\) | 18.8128 | + | 1.61943i | 0.828186 | + | 0.0712915i | ||||
\(517\) | 17.6393 | − | 7.30643i | 0.775774 | − | 0.321336i | ||||
\(518\) | −0.597236 | + | 4.09700i | −0.0262410 | + | 0.180012i | ||||
\(519\) | 13.8887 | − | 22.9093i | 0.609648 | − | 1.00561i | ||||
\(520\) | 1.37551 | − | 2.58256i | 0.0603202 | − | 0.113253i | ||||
\(521\) | −19.2217 | − | 19.2217i | −0.842118 | − | 0.842118i | 0.147016 | − | 0.989134i | \(-0.453033\pi\) |
−0.989134 | + | 0.147016i | \(0.953033\pi\) | |||||||
\(522\) | 20.2621 | − | 17.4285i | 0.886846 | − | 0.762823i | ||||
\(523\) | −0.00283245 | − | 0.00683815i | −0.000123855 | − | 0.000299011i | 0.923818 | − | 0.382833i | \(-0.125052\pi\) |
−0.923941 | + | 0.382534i | \(0.875052\pi\) | |||||||
\(524\) | 13.5231 | + | 11.8359i | 0.590758 | + | 0.517054i | ||||
\(525\) | 19.0165 | − | 5.03386i | 0.829948 | − | 0.219696i | ||||
\(526\) | −15.1302 | − | 21.0923i | −0.659709 | − | 0.919667i | ||||
\(527\) | −0.427318 | −0.0186143 | ||||||||
\(528\) | −4.34637 | + | 9.94198i | −0.189151 | + | 0.432669i | ||||
\(529\) | 19.9099i | 0.865647i | ||||||||
\(530\) | −7.04419 | + | 5.05304i | −0.305980 | + | 0.219490i | ||||
\(531\) | −0.126965 | − | 1.43753i | −0.00550983 | − | 0.0623835i | ||||
\(532\) | 3.35078 | + | 6.47556i | 0.145275 | + | 0.280751i | ||||
\(533\) | −0.960014 | − | 2.31768i | −0.0415828 | − | 0.100390i | ||||
\(534\) | −31.6567 | + | 16.0790i | −1.36992 | + | 0.695807i | ||||
\(535\) | −5.05536 | + | 5.05536i | −0.218562 | + | 0.218562i | ||||
\(536\) | 10.7853 | + | 13.1025i | 0.465853 | + | 0.565940i | ||||
\(537\) | 22.2277 | + | 13.4756i | 0.959198 | + | 0.581513i | ||||
\(538\) | 16.4959 | − | 26.5567i | 0.711190 | − | 1.14494i | ||||
\(539\) | 3.82030 | − | 10.2758i | 0.164552 | − | 0.442610i | ||||
\(540\) | −3.32679 | + | 8.08235i | −0.143162 | + | 0.347809i | ||||
\(541\) | −17.9108 | − | 7.41888i | −0.770043 | − | 0.318962i | −0.0371533 | − | 0.999310i | \(-0.511829\pi\) |
−0.732890 | + | 0.680347i | \(0.761829\pi\) | |||||||
\(542\) | 32.9324 | + | 5.42054i | 1.41457 | + | 0.232832i | ||||
\(543\) | −5.02820 | − | 20.5118i | −0.215781 | − | 0.880247i | ||||
\(544\) | −0.683028 | + | 0.642884i | −0.0292846 | + | 0.0275634i | ||||
\(545\) | −8.73049 | −0.373973 | ||||||||
\(546\) | 3.73997 | + | 7.03983i | 0.160056 | + | 0.301277i | ||||
\(547\) | 5.04265 | + | 2.08874i | 0.215608 | + | 0.0893079i | 0.487873 | − | 0.872914i | \(-0.337773\pi\) |
−0.272265 | + | 0.962222i | \(0.587773\pi\) | |||||||
\(548\) | 16.3320 | − | 8.07403i | 0.697669 | − | 0.344905i | ||||
\(549\) | −21.9062 | + | 26.1506i | −0.934932 | + | 1.11608i | ||||
\(550\) | 8.07637 | + | 5.01671i | 0.344378 | + | 0.213913i | ||||
\(551\) | 6.13770 | − | 6.13770i | 0.261475 | − | 0.261475i | ||||
\(552\) | −8.52303 | + | 1.23323i | −0.362764 | + | 0.0524896i | ||||
\(553\) | 9.70139 | − | 24.6954i | 0.412545 | − | 1.05016i | ||||
\(554\) | 30.7703 | − | 7.19057i | 1.30730 | − | 0.305498i | ||||
\(555\) | −1.29952 | + | 0.953675i | −0.0551616 | + | 0.0404812i | ||||
\(556\) | 0.904249 | + | 13.5914i | 0.0383487 | + | 0.576405i | ||||
\(557\) | −22.6781 | − | 9.39358i | −0.960902 | − | 0.398019i | −0.153584 | − | 0.988136i | \(-0.549082\pi\) |
−0.807318 | + | 0.590117i | \(0.799082\pi\) | |||||||
\(558\) | −4.92963 | + | 9.75923i | −0.208688 | + | 0.413141i | ||||
\(559\) | 6.70481 | 0.283583 | ||||||||
\(560\) | −5.27359 | + | 7.17011i | −0.222850 | + | 0.302993i | ||||
\(561\) | 0.436861 | − | 0.107091i | 0.0184443 | − | 0.00452137i | ||||
\(562\) | 24.5419 | + | 34.2126i | 1.03524 | + | 1.44317i | ||||
\(563\) | −3.60981 | + | 8.71484i | −0.152135 | + | 0.367287i | −0.981511 | − | 0.191404i | \(-0.938696\pi\) |
0.829376 | + | 0.558691i | \(0.188696\pi\) | |||||||
\(564\) | 19.4475 | − | 37.4861i | 0.818889 | − | 1.57845i | ||||
\(565\) | −0.0894086 | − | 0.215851i | −0.00376145 | − | 0.00908094i | ||||
\(566\) | −25.2585 | + | 5.90256i | −1.06170 | + | 0.248103i | ||||
\(567\) | −13.1938 | − | 19.8223i | −0.554086 | − | 0.832460i | ||||
\(568\) | −10.5192 | − | 34.4940i | −0.441376 | − | 1.44734i | ||||
\(569\) | 20.5804 | + | 20.5804i | 0.862776 | + | 0.862776i | 0.991660 | − | 0.128884i | \(-0.0411394\pi\) |
−0.128884 | + | 0.991660i | \(0.541139\pi\) | |||||||
\(570\) | −0.880620 | + | 2.69854i | −0.0368851 | + | 0.113029i | ||||
\(571\) | 1.34168 | + | 3.23910i | 0.0561474 | + | 0.135552i | 0.949464 | − | 0.313876i | \(-0.101628\pi\) |
−0.893316 | + | 0.449428i | \(0.851628\pi\) | |||||||
\(572\) | −1.23487 | + | 3.64959i | −0.0516325 | + | 0.152597i | ||||
\(573\) | 2.21794 | − | 14.4500i | 0.0926560 | − | 0.603655i | ||||
\(574\) | 1.87274 | + | 7.39762i | 0.0781665 | + | 0.308771i | ||||
\(575\) | 7.54597i | 0.314689i | ||||||||
\(576\) | 6.80286 | + | 23.0157i | 0.283452 | + | 0.958986i | ||||
\(577\) | − | 42.4713i | − | 1.76810i | −0.467389 | − | 0.884052i | \(-0.654805\pi\) | ||
0.467389 | − | 0.884052i | \(-0.345195\pi\) | |||||||
\(578\) | −23.6841 | − | 3.89830i | −0.985127 | − | 0.162148i | ||||
\(579\) | −29.7993 | − | 4.57394i | −1.23842 | − | 0.190086i | ||||
\(580\) | 10.0371 | + | 3.39614i | 0.416769 | + | 0.141017i | ||||
\(581\) | 2.57139 | − | 2.66769i | 0.106679 | − | 0.110675i | ||||
\(582\) | −10.0233 | + | 30.7150i | −0.415478 | + | 1.27318i | ||||
\(583\) | 8.07168 | − | 8.07168i | 0.334295 | − | 0.334295i | ||||
\(584\) | −5.21837 | + | 1.59138i | −0.215938 | + | 0.0658519i | ||||
\(585\) | −0.930799 | + | 2.96065i | −0.0384838 | + | 0.122408i | ||||
\(586\) | 7.60002 | + | 32.5224i | 0.313954 | + | 1.34349i | ||||
\(587\) | −10.2412 | + | 4.24204i | −0.422699 | + | 0.175088i | −0.583885 | − | 0.811836i | \(-0.698468\pi\) |
0.161186 | + | 0.986924i | \(0.448468\pi\) | |||||||
\(588\) | −8.16857 | − | 22.8314i | −0.336866 | − | 0.941553i | ||||
\(589\) | −1.35889 | + | 3.28064i | −0.0559919 | + | 0.135176i | ||||
\(590\) | 0.464906 | − | 0.333493i | 0.0191399 | − | 0.0137297i | ||||
\(591\) | 22.9244 | − | 5.61962i | 0.942985 | − | 0.231160i | ||||
\(592\) | −1.13717 | + | 4.27759i | −0.0467373 | + | 0.175808i | ||||
\(593\) | 43.7639i | 1.79717i | 0.438803 | + | 0.898583i | \(0.355403\pi\) | ||||
−0.438803 | + | 0.898583i | \(0.644597\pi\) | |||||||
\(594\) | 2.59394 | − | 11.2126i | 0.106431 | − | 0.460058i | ||||
\(595\) | 0.368902 | − | 0.00678070i | 0.0151235 | − | 0.000277982i | ||||
\(596\) | −1.17981 | − | 17.7333i | −0.0483270 | − | 0.726384i | ||||
\(597\) | −16.8471 | − | 22.9566i | −0.689506 | − | 0.939553i | ||||
\(598\) | −2.97768 | + | 0.695842i | −0.121767 | + | 0.0284551i | ||||
\(599\) | −6.42233 | + | 6.42233i | −0.262409 | + | 0.262409i | −0.826032 | − | 0.563623i | \(-0.809407\pi\) |
0.563623 | + | 0.826032i | \(0.309407\pi\) | |||||||
\(600\) | 20.8129 | − | 3.01150i | 0.849685 | − | 0.122944i | ||||
\(601\) | −23.6557 | − | 23.6557i | −0.964938 | − | 0.964938i | 0.0344681 | − | 0.999406i | \(-0.489026\pi\) |
−0.999406 | + | 0.0344681i | \(0.989026\pi\) | |||||||
\(602\) | −20.1819 | − | 2.94200i | −0.822555 | − | 0.119907i | ||||
\(603\) | −13.7983 | − | 11.5587i | −0.561910 | − | 0.470707i | ||||
\(604\) | −14.3460 | − | 29.0188i | −0.583730 | − | 1.18076i | ||||
\(605\) | −6.64128 | − | 2.75091i | −0.270006 | − | 0.111840i | ||||
\(606\) | −2.49924 | − | 32.2827i | −0.101525 | − | 1.31140i | ||||
\(607\) | − | 12.7373i | − | 0.516989i | −0.966013 | − | 0.258495i | \(-0.916774\pi\) | ||
0.966013 | − | 0.258495i | \(-0.0832264\pi\) | |||||||
\(608\) | 2.76355 | + | 7.28819i | 0.112077 | + | 0.295575i | ||||
\(609\) | −22.9554 | + | 17.5043i | −0.930202 | + | 0.709309i | ||||
\(610\) | −13.3453 | − | 2.19658i | −0.540335 | − | 0.0889369i | ||||
\(611\) | 5.73848 | − | 13.8539i | 0.232154 | − | 0.560469i | ||||
\(612\) | 0.586835 | − | 0.803387i | 0.0237214 | − | 0.0324750i | ||||
\(613\) | 4.02386 | + | 9.71446i | 0.162522 | + | 0.392363i | 0.984071 | − | 0.177774i | \(-0.0568897\pi\) |
−0.821549 | + | 0.570138i | \(0.806890\pi\) | |||||||
\(614\) | −22.2259 | − | 13.8058i | −0.896962 | − | 0.557156i | ||||
\(615\) | −1.54018 | + | 2.54050i | −0.0621059 | + | 0.102443i | ||||
\(616\) | 5.31845 | − | 10.4437i | 0.214286 | − | 0.420788i | ||||
\(617\) | 1.88885 | − | 1.88885i | 0.0760424 | − | 0.0760424i | −0.668063 | − | 0.744105i | \(-0.732876\pi\) |
0.744105 | + | 0.668063i | \(0.232876\pi\) | |||||||
\(618\) | −0.771482 | − | 1.51891i | −0.0310336 | − | 0.0610995i | ||||
\(619\) | 18.0088 | + | 43.4771i | 0.723835 | + | 1.74749i | 0.662120 | + | 0.749398i | \(0.269657\pi\) |
0.0617149 | + | 0.998094i | \(0.480343\pi\) | |||||||
\(620\) | −4.32524 | + | 0.287762i | −0.173706 | + | 0.0115568i | ||||
\(621\) | 8.64578 | − | 2.94681i | 0.346943 | − | 0.118251i | ||||
\(622\) | 0.101764 | + | 0.141864i | 0.00408035 | + | 0.00568822i | ||||
\(623\) | 35.1560 | − | 15.3249i | 1.40849 | − | 0.613981i | ||||
\(624\) | 3.10759 | + | 7.93521i | 0.124403 | + | 0.317663i | ||||
\(625\) | − | 14.8903i | − | 0.595613i | ||||||
\(626\) | 4.81958 | + | 6.71873i | 0.192629 | + | 0.268535i | ||||
\(627\) | 0.567067 | − | 3.69445i | 0.0226465 | − | 0.147542i | ||||
\(628\) | 6.49667 | − | 7.42274i | 0.259245 | − | 0.296199i | ||||
\(629\) | 0.169515 | − | 0.0702153i | 0.00675899 | − | 0.00279967i | ||||
\(630\) | 4.10087 | − | 8.50334i | 0.163383 | − | 0.338781i | ||||
\(631\) | −22.2010 | − | 22.2010i | −0.883809 | − | 0.883809i | 0.110110 | − | 0.993919i | \(-0.464880\pi\) |
−0.993919 | + | 0.110110i | \(0.964880\pi\) | |||||||
\(632\) | 13.3341 | − | 25.0350i | 0.530400 | − | 0.995839i | ||||
\(633\) | 11.6838 | − | 19.2723i | 0.464390 | − | 0.766005i | ||||
\(634\) | 8.12730 | − | 13.0841i | 0.322776 | − | 0.519636i | ||||
\(635\) | 3.29687 | + | 7.95936i | 0.130832 | + | 0.315858i | ||||
\(636\) | 2.16544 | − | 25.1557i | 0.0858654 | − | 0.997488i | ||||
\(637\) | −3.58514 | − | 7.82844i | −0.142048 | − | 0.310174i | ||||
\(638\) | −13.7672 | − | 2.26602i | −0.545048 | − | 0.0897126i | ||||
\(639\) | 17.6899 | + | 33.9134i | 0.699800 | + | 1.34159i | ||||
\(640\) | −6.48057 | + | 6.96713i | −0.256167 | + | 0.275400i | ||||
\(641\) | 12.5846i | 0.497062i | 0.968624 | + | 0.248531i | \(0.0799477\pi\) | ||||
−0.968624 | + | 0.248531i | \(0.920052\pi\) | |||||||
\(642\) | −1.60720 | − | 20.7603i | −0.0634312 | − | 0.819342i | ||||
\(643\) | 18.8376 | − | 45.4779i | 0.742882 | − | 1.79347i | 0.149145 | − | 0.988815i | \(-0.452348\pi\) |
0.593737 | − | 0.804659i | \(-0.297652\pi\) | |||||||
\(644\) | 9.26836 | − | 0.787955i | 0.365224 | − | 0.0310498i | ||||
\(645\) | −4.69783 | − | 6.40148i | −0.184977 | − | 0.252058i | ||||
\(646\) | 0.170491 | − | 0.274472i | 0.00670787 | − | 0.0107990i | ||||
\(647\) | −23.9078 | + | 23.9078i | −0.939913 | + | 0.939913i | −0.998294 | − | 0.0583813i | \(-0.981406\pi\) |
0.0583813 | + | 0.998294i | \(0.481406\pi\) | |||||||
\(648\) | −11.5782 | − | 22.6704i | −0.454834 | − | 0.890576i | ||||
\(649\) | −0.532719 | + | 0.532719i | −0.0209111 | + | 0.0209111i | ||||
\(650\) | 7.27140 | − | 1.69922i | 0.285208 | − | 0.0666490i | ||||
\(651\) | 5.93573 | − | 10.2096i | 0.232640 | − | 0.400144i | ||||
\(652\) | −28.7488 | − | 25.1621i | −1.12589 | − | 0.985423i | ||||
\(653\) | 9.21532 | + | 3.81711i | 0.360623 | + | 0.149375i | 0.555636 | − | 0.831426i | \(-0.312475\pi\) |
−0.195013 | + | 0.980801i | \(0.562475\pi\) | |||||||
\(654\) | 16.5385 | − | 19.3141i | 0.646705 | − | 0.755240i | ||||
\(655\) | − | 7.55714i | − | 0.295282i | ||||||
\(656\) | 1.08072 | + | 8.08596i | 0.0421949 | + | 0.315704i | ||||
\(657\) | 5.13054 | − | 2.67618i | 0.200161 | − | 0.104408i | ||||
\(658\) | −23.3522 | + | 39.1832i | −0.910362 | + | 1.52752i | ||||
\(659\) | 30.3877 | + | 12.5870i | 1.18374 | + | 0.490320i | 0.885711 | − | 0.464238i | \(-0.153672\pi\) |
0.298026 | + | 0.954558i | \(0.403672\pi\) | |||||||
\(660\) | 4.34971 | − | 1.37814i | 0.169312 | − | 0.0536440i | ||||
\(661\) | −15.2627 | − | 36.8475i | −0.593652 | − | 1.43320i | −0.879952 | − | 0.475063i | \(-0.842425\pi\) |
0.286300 | − | 0.958140i | \(-0.407575\pi\) | |||||||
\(662\) | −36.3646 | + | 8.49788i | −1.41335 | + | 0.330280i | ||||
\(663\) | 0.183142 | − | 0.302090i | 0.00711264 | − | 0.0117322i | ||||
\(664\) | 3.05822 | − | 2.51737i | 0.118682 | − | 0.0976931i | ||||
\(665\) | 1.12106 | − | 2.85373i | 0.0434730 | − | 0.110663i | ||||
\(666\) | 0.351956 | − | 4.68145i | 0.0136380 | − | 0.181402i | ||||
\(667\) | −4.23772 | − | 10.2308i | −0.164085 | − | 0.396136i | ||||
\(668\) | 33.5357 | − | 16.5790i | 1.29754 | − | 0.641461i | ||||
\(669\) | 5.34613 | − | 34.8301i | 0.206693 | − | 1.34661i | ||||
\(670\) | 1.15902 | − | 7.04160i | 0.0447767 | − | 0.272041i | ||||
\(671\) | 17.8089 | 0.687503 | ||||||||
\(672\) | −5.87218 | − | 25.2491i | −0.226524 | − | 0.974006i | ||||
\(673\) | −20.4498 | −0.788280 | −0.394140 | − | 0.919050i | \(-0.628958\pi\) | ||||
−0.394140 | + | 0.919050i | \(0.628958\pi\) | |||||||
\(674\) | 4.89104 | − | 29.7154i | 0.188396 | − | 1.14460i | ||||
\(675\) | −21.1127 | + | 7.19601i | −0.812628 | + | 0.276975i | ||||
\(676\) | −10.1814 | − | 20.5947i | −0.391591 | − | 0.792105i | ||||
\(677\) | −4.72921 | − | 11.4173i | −0.181758 | − | 0.438803i | 0.806571 | − | 0.591138i | \(-0.201321\pi\) |
−0.988329 | + | 0.152334i | \(0.951321\pi\) | |||||||
\(678\) | 0.646888 | + | 0.211100i | 0.0248436 | + | 0.00810725i | ||||
\(679\) | 12.7600 | − | 32.4813i | 0.489685 | − | 1.24652i | ||||
\(680\) | 0.392597 | + | 0.0380830i | 0.0150554 | + | 0.00146042i | ||||
\(681\) | −25.6732 | − | 15.5644i | −0.983800 | − | 0.596428i | ||||
\(682\) | 5.55811 | − | 1.29885i | 0.212831 | − | 0.0497355i | ||||
\(683\) | 17.1700 | + | 41.4519i | 0.656990 | + | 1.58611i | 0.802429 | + | 0.596747i | \(0.203540\pi\) |
−0.145439 | + | 0.989367i | \(0.546460\pi\) | |||||||
\(684\) | −4.30167 | − | 7.06010i | −0.164479 | − | 0.269949i | ||||
\(685\) | −7.07810 | − | 2.93185i | −0.270440 | − | 0.112020i | ||||
\(686\) | 7.35647 | + | 25.1373i | 0.280872 | + | 0.959745i | ||||
\(687\) | 3.75440 | − | 0.920342i | 0.143239 | − | 0.0351132i | ||||
\(688\) | −21.0716 | − | 5.60172i | −0.803346 | − | 0.213564i | ||||
\(689\) | − | 8.96541i | − | 0.341555i | ||||||
\(690\) | 2.75072 | + | 2.35542i | 0.104718 | + | 0.0896692i | ||||
\(691\) | −36.7355 | − | 15.2163i | −1.39748 | − | 0.578856i | −0.448386 | − | 0.893840i | \(-0.648001\pi\) |
−0.949097 | + | 0.314984i | \(0.898001\pi\) | |||||||
\(692\) | −20.3740 | + | 23.2782i | −0.774503 | + | 0.884905i | ||||
\(693\) | −3.50966 | + | 11.9251i | −0.133321 | + | 0.452997i | ||||
\(694\) | 30.2496 | − | 7.06890i | 1.14826 | − | 0.268332i | ||||
\(695\) | 4.05033 | − | 4.05033i | 0.153638 | − | 0.153638i | ||||
\(696\) | −26.5268 | + | 15.7712i | −1.00550 | + | 0.597807i | ||||
\(697\) | 0.239125 | − | 0.239125i | 0.00905752 | − | 0.00905752i | ||||
\(698\) | 9.73604 | − | 15.6740i | 0.368514 | − | 0.593269i | ||||
\(699\) | −22.1371 | + | 16.2457i | −0.837302 | + | 0.614468i | ||||
\(700\) | −22.6330 | + | 1.92416i | −0.855448 | + | 0.0727264i | ||||
\(701\) | 5.34836 | − | 12.9121i | 0.202005 | − | 0.487683i | −0.790118 | − | 0.612955i | \(-0.789981\pi\) |
0.992122 | + | 0.125273i | \(0.0399806\pi\) | |||||||
\(702\) | −4.78647 | − | 7.66763i | −0.180654 | − | 0.289396i | ||||
\(703\) | − | 1.52470i | − | 0.0575051i | ||||||
\(704\) | 6.93004 | − | 10.4381i | 0.261186 | − | 0.393399i | ||||
\(705\) | −17.2479 | + | 4.22809i | −0.649593 | + | 0.159239i | ||||
\(706\) | −6.18740 | − | 1.01842i | −0.232866 | − | 0.0383288i | ||||
\(707\) | 0.642734 | + | 34.9678i | 0.0241725 | + | 1.31510i | ||||
\(708\) | −0.142916 | + | 1.66024i | −0.00537111 | + | 0.0623956i | ||||
\(709\) | 0.680550 | + | 1.64299i | 0.0255586 | + | 0.0617039i | 0.936144 | − | 0.351618i | \(-0.114368\pi\) |
−0.910585 | + | 0.413322i | \(0.864368\pi\) | |||||||
\(710\) | −8.00168 | + | 12.8819i | −0.300298 | + | 0.483448i | ||||
\(711\) | −9.02305 | + | 28.7002i | −0.338391 | + | 1.07634i | ||||
\(712\) | 39.2159 | − | 11.9592i | 1.46968 | − | 0.448190i | ||||
\(713\) | 3.20332 | + | 3.20332i | 0.119965 | + | 0.119965i | ||||
\(714\) | −0.683824 | + | 0.828951i | −0.0255915 | + | 0.0310227i | ||||
\(715\) | 1.49685 | − | 0.620017i | 0.0559791 | − | 0.0231873i | ||||
\(716\) | −22.5857 | − | 19.7679i | −0.844068 | − | 0.738761i | ||||
\(717\) | −21.5016 | − | 3.30031i | −0.802990 | − | 0.123252i | ||||
\(718\) | 2.23421 | + | 3.11460i | 0.0833800 | + | 0.116236i | ||||
\(719\) | − | 23.0656i | − | 0.860201i | −0.902781 | − | 0.430100i | \(-0.858478\pi\) | ||
0.902781 | − | 0.430100i | \(-0.141522\pi\) | |||||||
\(720\) | 5.39883 | − | 8.52693i | 0.201203 | − | 0.317780i | ||||
\(721\) | 0.735301 | + | 1.68681i | 0.0273841 | + | 0.0628200i | ||||
\(722\) | 14.0969 | + | 19.6518i | 0.524633 | + | 0.731364i | ||||
\(723\) | 36.9020 | + | 5.66414i | 1.37240 | + | 0.210652i | ||||
\(724\) | 1.61886 | + | 24.3325i | 0.0601645 | + | 0.904310i | ||||
\(725\) | 10.3484 | + | 24.9832i | 0.384329 | + | 0.927851i | ||||
\(726\) | 18.6665 | − | 9.48106i | 0.692779 | − | 0.351875i | ||||
\(727\) | 9.52897 | − | 9.52897i | 0.353410 | − | 0.353410i | −0.507967 | − | 0.861377i | \(-0.669603\pi\) |
0.861377 | + | 0.507967i | \(0.169603\pi\) | |||||||
\(728\) | −2.84636 | − | 8.75369i | −0.105493 | − | 0.324433i | ||||
\(729\) | 16.4896 | + | 21.3797i | 0.610728 | + | 0.791841i | ||||
\(730\) | 1.94881 | + | 1.21052i | 0.0721289 | + | 0.0448035i | ||||
\(731\) | 0.345883 | + | 0.835034i | 0.0127929 | + | 0.0308849i | ||||
\(732\) | 30.1398 | − | 25.3621i | 1.11400 | − | 0.937411i | ||||
\(733\) | 3.17917 | − | 7.67520i | 0.117425 | − | 0.283490i | −0.854229 | − | 0.519898i | \(-0.825970\pi\) |
0.971654 | + | 0.236408i | \(0.0759701\pi\) | |||||||
\(734\) | 8.95523 | + | 1.47399i | 0.330543 | + | 0.0544061i | ||||
\(735\) | −4.96229 | + | 8.90806i | −0.183037 | + | 0.328579i | ||||
\(736\) | 9.93948 | + | 0.300932i | 0.366374 | + | 0.0110925i | ||||
\(737\) | 9.39678i | 0.346135i | ||||||||
\(738\) | −2.70262 | − | 8.21982i | −0.0994850 | − | 0.302576i | ||||
\(739\) | 22.1450 | + | 9.17275i | 0.814616 | + | 0.337425i | 0.750794 | − | 0.660536i | \(-0.229671\pi\) |
0.0638218 | + | 0.997961i | \(0.479671\pi\) | |||||||
\(740\) | 1.66851 | − | 0.824860i | 0.0613358 | − | 0.0303225i | ||||
\(741\) | −1.73683 | − | 2.36669i | −0.0638041 | − | 0.0869425i | ||||
\(742\) | −3.93393 | + | 26.9865i | −0.144419 | + | 0.990706i | ||||
\(743\) | 19.1540 | + | 19.1540i | 0.702690 | + | 0.702690i | 0.964987 | − | 0.262297i | \(-0.0844800\pi\) |
−0.262297 | + | 0.964987i | \(0.584480\pi\) | |||||||
\(744\) | 7.55685 | − | 10.1136i | 0.277047 | − | 0.370784i | ||||
\(745\) | −5.28464 | + | 5.28464i | −0.193614 | + | 0.193614i | ||||
\(746\) | 45.2162 | − | 10.5664i | 1.65548 | − | 0.386863i | ||||
\(747\) | −2.69790 | + | 3.22063i | −0.0987109 | + | 0.117837i | ||||
\(748\) | −0.518233 | + | 0.0344785i | −0.0189485 | + | 0.00126066i | ||||
\(749\) | 0.413327 | + | 22.4869i | 0.0151026 | + | 0.821655i | ||||
\(750\) | −14.5412 | − | 12.4515i | −0.530968 | − | 0.454663i | ||||
\(751\) | 29.3567i | 1.07124i | 0.844459 | + | 0.535620i | \(0.179922\pi\) | ||||
−0.844459 | + | 0.535620i | \(0.820078\pi\) | |||||||
\(752\) | −29.6092 | + | 38.7450i | −1.07974 | + | 1.41289i | ||||
\(753\) | 8.38843 | + | 34.2194i | 0.305691 | + | 1.24702i | ||||
\(754\) | −8.90424 | + | 6.38732i | −0.324273 | + | 0.232612i | ||||
\(755\) | −5.20932 | + | 12.5764i | −0.189587 | + | 0.457703i | ||||
\(756\) | 11.0431 | + | 25.1803i | 0.401635 | + | 0.915800i | ||||
\(757\) | −25.7976 | + | 10.6857i | −0.937631 | + | 0.388379i | −0.798568 | − | 0.601904i | \(-0.794409\pi\) |
−0.139063 | + | 0.990284i | \(0.544409\pi\) | |||||||
\(758\) | −11.0775 | − | 47.4035i | −0.402354 | − | 1.72177i | ||||
\(759\) | −4.07764 | − | 2.47207i | −0.148009 | − | 0.0897303i | ||||
\(760\) | 1.54085 | − | 2.89297i | 0.0558923 | − | 0.104939i | ||||
\(761\) | −13.7440 | + | 13.7440i | −0.498219 | + | 0.498219i | −0.910883 | − | 0.412664i | \(-0.864598\pi\) |
0.412664 | + | 0.910883i | \(0.364598\pi\) | |||||||
\(762\) | −23.8535 | − | 7.78416i | −0.864122 | − | 0.281990i | ||||
\(763\) | −19.0603 | + | 19.7741i | −0.690030 | + | 0.715872i | ||||
\(764\) | −5.41043 | + | 15.9902i | −0.195742 | + | 0.578507i | ||||
\(765\) | −0.416744 | + | 0.0368077i | −0.0150674 | + | 0.00133078i | ||||
\(766\) | 12.0251 | + | 1.97927i | 0.434483 | + | 0.0715140i | ||||
\(767\) | 0.591704i | 0.0213652i | ||||||||
\(768\) | −3.13670 | − | 27.5347i | −0.113186 | − | 0.993574i | ||||
\(769\) | − | 17.4378i | − | 0.628822i | −0.949287 | − | 0.314411i | \(-0.898193\pi\) | ||
0.949287 | − | 0.314411i | \(-0.101807\pi\) | |||||||
\(770\) | −4.77769 | + | 1.20949i | −0.172176 | + | 0.0435870i | ||||
\(771\) | −0.870623 | − | 0.133633i | −0.0313547 | − | 0.00481268i | ||||
\(772\) | 32.9757 | + | 11.1576i | 1.18682 | + | 0.401571i | ||||
\(773\) | 17.4037 | + | 42.0162i | 0.625967 | + | 1.51122i | 0.844593 | + | 0.535409i | \(0.179843\pi\) |
−0.218626 | + | 0.975809i | \(0.570157\pi\) | |||||||
\(774\) | 23.0610 | + | 1.73374i | 0.828909 | + | 0.0623181i | ||||
\(775\) | −7.82239 | − | 7.82239i | −0.280989 | − | 0.280989i | ||||
\(776\) | 17.5380 | − | 32.9280i | 0.629578 | − | 1.18205i | ||||
\(777\) | −0.677076 | + | 5.02541i | −0.0242900 | + | 0.180285i | ||||
\(778\) | 5.65861 | − | 1.32234i | 0.202871 | − | 0.0474080i | ||||
\(779\) | −1.07541 | − | 2.59626i | −0.0385304 | − | 0.0930206i | ||||
\(780\) | 1.65030 | − | 3.18103i | 0.0590902 | − | 0.113899i | ||||
\(781\) | 7.64149 | − | 18.4482i | 0.273434 | − | 0.660128i | ||||
\(782\) | −0.240272 | − | 0.334952i | −0.00859212 | − | 0.0119778i | ||||
\(783\) | 24.5832 | − | 21.6129i | 0.878533 | − | 0.772383i | ||||
\(784\) | 4.72671 | + | 27.5982i | 0.168811 | + | 0.985648i | ||||
\(785\) | −4.14807 | −0.148051 | ||||||||
\(786\) | 16.7183 | + | 14.3157i | 0.596323 | + | 0.510626i | ||||
\(787\) | 35.0364 | + | 14.5126i | 1.24891 | + | 0.517317i | 0.906490 | − | 0.422228i | \(-0.138752\pi\) |
0.342425 | + | 0.939545i | \(0.388752\pi\) | |||||||
\(788\) | −27.1945 | + | 1.80927i | −0.968763 | + | 0.0644526i | ||||
\(789\) | −18.8093 | − | 25.6305i | −0.669630 | − | 0.912469i | ||||
\(790\) | −11.6148 | + | 2.71421i | −0.413236 | + | 0.0965674i | ||||
\(791\) | −0.684089 | − | 0.268739i | −0.0243234 | − | 0.00955526i | ||||
\(792\) | −5.19101 | + | 12.2333i | −0.184454 | + | 0.434692i | ||||
\(793\) | 9.89037 | − | 9.89037i | 0.351217 | − | 0.351217i | ||||
\(794\) | −45.5438 | − | 28.2899i | −1.61629 | − | 1.00397i | ||||
\(795\) | −8.55981 | + | 6.28176i | −0.303585 | + | 0.222791i | ||||
\(796\) | 14.5715 | + | 29.4751i | 0.516474 | + | 1.04472i | ||||
\(797\) | −12.2065 | − | 5.05611i | −0.432377 | − | 0.179097i | 0.155870 | − | 0.987778i | \(-0.450182\pi\) |
−0.588247 | + | 0.808681i | \(0.700182\pi\) | |||||||
\(798\) | 4.18951 | + | 7.88600i | 0.148307 | + | 0.279161i | ||||
\(799\) | 2.02143 | 0.0715131 | ||||||||
\(800\) | −24.2719 | − | 0.734865i | −0.858140 | − | 0.0259814i | ||||
\(801\) | −38.5558 | + | 20.1114i | −1.36230 | + | 0.710603i | ||||
\(802\) | 1.56205 | + | 0.257106i | 0.0551577 | + | 0.00907873i | ||||
\(803\) | −2.79091 | − | 1.15603i | −0.0984890 | − | 0.0407955i | ||||
\(804\) | 13.3822 | + | 15.9032i | 0.471955 | + | 0.560862i | ||||
\(805\) | −2.81624 | − | 2.71458i | −0.0992596 | − | 0.0956765i | ||||
\(806\) | 2.36543 | − | 3.80809i | 0.0833187 | − | 0.134134i | ||||
\(807\) | 19.8499 | − | 32.7421i | 0.698748 | − | 1.15258i | ||||
\(808\) | −3.60983 | + | 37.2138i | −0.126994 | + | 1.30918i | ||||
\(809\) | −38.8991 | + | 38.8991i | −1.36762 | + | 1.36762i | −0.503796 | + | 0.863823i | \(0.668064\pi\) |
−0.863823 | + | 0.503796i | \(0.831936\pi\) | |||||||
\(810\) | −3.96702 | + | 9.94237i | −0.139387 | + | 0.349339i | ||||
\(811\) | −3.15699 | − | 7.62165i | −0.110857 | − | 0.267632i | 0.858709 | − | 0.512464i | \(-0.171267\pi\) |
−0.969566 | + | 0.244832i | \(0.921267\pi\) | |||||||
\(812\) | 29.6051 | − | 15.3192i | 1.03893 | − | 0.537597i | ||||
\(813\) | 40.4033 | + | 6.20157i | 1.41701 | + | 0.217499i | ||||
\(814\) | −1.99145 | + | 1.42853i | −0.0698002 | + | 0.0500700i | ||||
\(815\) | 16.0658i | 0.562760i | ||||||||
\(816\) | −0.827959 | + | 0.796383i | −0.0289844 | + | 0.0278790i | ||||
\(817\) | 7.51071 | 0.262766 | ||||||||
\(818\) | 13.7523 | + | 19.1715i | 0.480840 | + | 0.670315i | ||||
\(819\) | 4.67362 | + | 8.57189i | 0.163310 | + | 0.299526i | ||||
\(820\) | 2.25935 | − | 2.58141i | 0.0789001 | − | 0.0901469i | ||||
\(821\) | −4.37037 | − | 10.5510i | −0.152527 | − | 0.368233i | 0.829084 | − | 0.559124i | \(-0.188862\pi\) |
−0.981611 | + | 0.190891i | \(0.938862\pi\) | |||||||
\(822\) | 19.8943 | − | 10.1047i | 0.693893 | − | 0.352441i | ||||
\(823\) | 6.73214 | + | 6.73214i | 0.234668 | + | 0.234668i | 0.814638 | − | 0.579970i | \(-0.196936\pi\) |
−0.579970 | + | 0.814638i | \(0.696936\pi\) | |||||||
\(824\) | 0.573810 | + | 1.88161i | 0.0199896 | + | 0.0655488i | ||||
\(825\) | 9.95745 | + | 6.03670i | 0.346674 | + | 0.210171i | ||||
\(826\) | 0.259634 | − | 1.78107i | 0.00903381 | − | 0.0619714i | ||||
\(827\) | −28.5233 | + | 11.8147i | −0.991851 | + | 0.410838i | −0.818803 | − | 0.574075i | \(-0.805362\pi\) |
−0.173048 | + | 0.984913i | \(0.555362\pi\) | |||||||
\(828\) | −10.4216 | + | 1.62335i | −0.362174 | + | 0.0564152i | ||||
\(829\) | −17.2497 | + | 41.6444i | −0.599106 | + | 1.44637i | 0.275389 | + | 0.961333i | \(0.411193\pi\) |
−0.874494 | + | 0.485036i | \(0.838807\pi\) | |||||||
\(830\) | −1.64357 | − | 0.270524i | −0.0570490 | − | 0.00939003i | ||||
\(831\) | 37.5882 | − | 9.21424i | 1.30392 | − | 0.319638i | ||||
\(832\) | −1.94822 | − | 9.64559i | −0.0675423 | − | 0.334401i | ||||
\(833\) | 0.790027 | − | 0.850350i | 0.0273728 | − | 0.0294629i | ||||
\(834\) | 1.28769 | + | 16.6331i | 0.0445889 | + | 0.575955i | ||||
\(835\) | −14.5340 | − | 6.02018i | −0.502970 | − | 0.208337i | ||||
\(836\) | −1.38330 | + | 4.08826i | −0.0478423 | + | 0.141396i | ||||
\(837\) | −5.90774 | + | 12.0173i | −0.204201 | + | 0.415377i | ||||
\(838\) | −5.18135 | − | 3.21844i | −0.178987 | − | 0.111179i | ||||
\(839\) | 35.8955 | − | 35.8955i | 1.23925 | − | 1.23925i | 0.278940 | − | 0.960308i | \(-0.410017\pi\) |
0.960308 | − | 0.278940i | \(-0.0899832\pi\) | |||||||
\(840\) | −6.36332 | + | 8.85099i | −0.219555 | + | 0.305388i | ||||
\(841\) | −7.55434 | − | 7.55434i | −0.260495 | − | 0.260495i | ||||
\(842\) | 0.697840 | + | 2.98623i | 0.0240492 | + | 0.102912i | ||||
\(843\) | 30.5096 | + | 41.5738i | 1.05081 | + | 1.43188i | ||||
\(844\) | −17.1395 | + | 19.5827i | −0.589966 | + | 0.674063i | ||||
\(845\) | −3.69707 | + | 8.92551i | −0.127183 | + | 0.307047i | ||||
\(846\) | 23.3196 | − | 46.1661i | 0.801746 | − | 1.58722i | ||||
\(847\) | −20.7299 | + | 9.03642i | −0.712286 | + | 0.310495i | ||||
\(848\) | −7.49041 | + | 28.1761i | −0.257222 | + | 0.967570i | ||||
\(849\) | −30.8551 | + | 7.56373i | −1.05895 | + | 0.259586i | ||||
\(850\) | 0.586737 | + | 0.817941i | 0.0201249 | + | 0.0280551i | ||||
\(851\) | −1.79709 | − | 0.744381i | −0.0616036 | − | 0.0255170i | ||||
\(852\) | −13.3401 | − | 42.1043i | −0.457025 | − | 1.44247i | ||||
\(853\) | −0.723413 | − | 1.74647i | −0.0247692 | − | 0.0597981i | 0.911011 | − | 0.412382i | \(-0.135303\pi\) |
−0.935780 | + | 0.352584i | \(0.885303\pi\) | |||||||
\(854\) | −34.1105 | + | 25.4309i | −1.16724 | + | 0.870227i | ||||
\(855\) | −1.04268 | + | 3.31651i | −0.0356588 | + | 0.113422i | ||||
\(856\) | −2.32140 | + | 23.9313i | −0.0793438 | + | 0.817955i | ||||
\(857\) | 4.56010 | − | 4.56010i | 0.155770 | − | 0.155770i | −0.624919 | − | 0.780689i | \(-0.714868\pi\) |
0.780689 | + | 0.624919i | \(0.214868\pi\) | |||||||
\(858\) | −1.46390 | + | 4.48594i | −0.0499768 | + | 0.153147i | ||||
\(859\) | 30.7556 | − | 12.7394i | 1.04937 | − | 0.434663i | 0.209702 | − | 0.977765i | \(-0.432750\pi\) |
0.839666 | + | 0.543102i | \(0.182750\pi\) | |||||||
\(860\) | 4.06329 | + | 8.21915i | 0.138557 | + | 0.280271i | ||||
\(861\) | 2.39161 | + | 9.03483i | 0.0815059 | + | 0.307906i | ||||
\(862\) | 30.2826 | + | 4.98439i | 1.03143 | + | 0.169769i | ||||
\(863\) | − | 31.8382i | − | 1.08378i | −0.840448 | − | 0.541892i | \(-0.817708\pi\) | ||
0.840448 | − | 0.541892i | \(-0.182292\pi\) | |||||||
\(864\) | 8.63655 | + | 28.0964i | 0.293822 | + | 0.955860i | ||||
\(865\) | 13.0087 | 0.442308 | ||||||||
\(866\) | 49.9012 | + | 8.21353i | 1.69571 | + | 0.279107i | ||||
\(867\) | −29.0569 | − | 4.45999i | −0.986826 | − | 0.151469i | ||||
\(868\) | −8.79106 | + | 10.4247i | −0.298388 | + | 0.353837i | ||||
\(869\) | 14.5103 | − | 6.01036i | 0.492228 | − | 0.203888i | ||||
\(870\) | 12.3372 | + | 4.02603i | 0.418272 | + | 0.136495i | ||||
\(871\) | 5.21862 | + | 5.21862i | 0.176826 | + | 0.176826i | ||||
\(872\) | −22.6689 | + | 18.6599i | −0.767666 | + | 0.631904i | ||||
\(873\) | −11.8678 | + | 37.7488i | −0.401665 | + | 1.27760i | ||||
\(874\) | −3.33559 | + | 0.779480i | −0.112828 | + | 0.0263663i | ||||
\(875\) | 14.8875 | + | 14.3501i | 0.503291 | + | 0.485123i | ||||
\(876\) | −6.36969 | + | 2.01814i | −0.215212 | + | 0.0681866i | ||||
\(877\) | −5.50635 | + | 13.2935i | −0.185936 | + | 0.448889i | −0.989170 | − | 0.146774i | \(-0.953111\pi\) |
0.803234 | + | 0.595664i | \(0.203111\pi\) | |||||||
\(878\) | 25.4493 | − | 18.2557i | 0.858873 | − | 0.616099i | ||||
\(879\) | 9.73891 | + | 39.7285i | 0.328485 | + | 1.34001i | ||||
\(880\) | −5.22225 | + | 0.697970i | −0.176042 | + | 0.0235286i | ||||
\(881\) | 40.9679i | 1.38024i | 0.723693 | + | 0.690122i | \(0.242443\pi\) | ||||
−0.723693 | + | 0.690122i | \(0.757557\pi\) | |||||||
\(882\) | −10.3067 | − | 27.8527i | −0.347043 | − | 0.937849i | ||||
\(883\) | −8.85150 | + | 21.3694i | −0.297877 | + | 0.719138i | 0.702099 | + | 0.712080i | \(0.252247\pi\) |
−0.999975 | + | 0.00705786i | \(0.997753\pi\) | |||||||
\(884\) | −0.268659 | + | 0.306955i | −0.00903598 | + | 0.0103240i | ||||
\(885\) | 0.564935 | − | 0.414587i | 0.0189901 | − | 0.0139362i | ||||
\(886\) | −33.5321 | + | 7.83596i | −1.12653 | + | 0.263254i | ||||
\(887\) | 18.5518 | + | 18.5518i | 0.622908 | + | 0.622908i | 0.946274 | − | 0.323366i | \(-0.104814\pi\) |
−0.323366 | + | 0.946274i | \(0.604814\pi\) | |||||||
\(888\) | −1.33592 | + | 5.25374i | −0.0448306 | + | 0.176304i | ||||
\(889\) | 25.2253 | + | 9.90955i | 0.846029 | + | 0.332355i | ||||
\(890\) | −14.6453 | − | 9.09704i | −0.490911 | − | 0.304934i | ||||
\(891\) | 3.02801 | − | 13.7662i | 0.101442 | − | 0.461184i | ||||
\(892\) | −13.0413 | + | 38.5429i | −0.436655 | + | 1.29051i | ||||
\(893\) | 6.42822 | − | 15.5191i | 0.215112 | − | 0.519327i | ||||
\(894\) | −1.68010 | − | 21.7019i | −0.0561909 | − | 0.725819i | ||||
\(895\) | 12.6217i | 0.421896i | ||||||||
\(896\) | 1.63188 | + | 29.8887i | 0.0545174 | + | 0.998513i | ||||
\(897\) | −3.63746 | + | 0.891675i | −0.121451 | + | 0.0297721i | ||||
\(898\) | −1.77457 | + | 10.7814i | −0.0592181 | + | 0.359779i | ||||
\(899\) | 14.9985 | + | 6.21258i | 0.500228 | + | 0.207201i | ||||
\(900\) | 25.4491 | − | 3.96416i | 0.848304 | − | 0.132139i | ||||
\(901\) | 1.11658 | − | 0.462501i | 0.0371985 | − | 0.0154081i | ||||
\(902\) | −2.38346 | + | 3.83712i | −0.0793605 | + | 0.127762i | ||||
\(903\) | −24.7553 | − | 3.33530i | −0.823805 | − | 0.110992i | ||||
\(904\) | −0.693497 | − | 0.369368i | −0.0230654 | − | 0.0122850i | ||||
\(905\) | 7.25124 | − | 7.25124i | 0.241039 | − | 0.241039i | ||||
\(906\) | −17.9540 | − | 35.3483i | −0.596483 | − | 1.17437i | ||||
\(907\) | −10.6666 | + | 4.41826i | −0.354180 | + | 0.146706i | −0.552677 | − | 0.833395i | \(-0.686394\pi\) |
0.198498 | + | 0.980101i | \(0.436394\pi\) | |||||||
\(908\) | 26.0867 | + | 22.8321i | 0.865717 | + | 0.757709i | ||||
\(909\) | −3.48895 | − | 39.5026i | −0.115721 | − | 1.31022i | ||||
\(910\) | −1.98164 | + | 3.32505i | −0.0656908 | + | 0.110224i | ||||
\(911\) | −53.2305 | −1.76361 | −0.881803 | − | 0.471619i | \(-0.843670\pi\) | ||||
−0.881803 | + | 0.471619i | \(0.843670\pi\) | |||||||
\(912\) | 3.48112 | + | 8.88900i | 0.115271 | + | 0.294344i | ||||
\(913\) | 2.19329 | 0.0725871 | ||||||||
\(914\) | 6.81754 | + | 9.50399i | 0.225504 | + | 0.314364i | ||||
\(915\) | −16.3728 | − | 2.51308i | −0.541267 | − | 0.0830798i | ||||
\(916\) | −4.45372 | + | 0.296310i | −0.147155 | + | 0.00979035i | ||||
\(917\) | −17.1166 | − | 16.4987i | −0.565239 | − | 0.544835i | ||||
\(918\) | 0.708025 | − | 0.991671i | 0.0233683 | − | 0.0327300i | ||||
\(919\) | 14.6794 | + | 14.6794i | 0.484229 | + | 0.484229i | 0.906479 | − | 0.422250i | \(-0.138760\pi\) |
−0.422250 | + | 0.906479i | \(0.638760\pi\) | |||||||
\(920\) | −2.65756 | − | 3.22852i | −0.0876170 | − | 0.106441i | ||||
\(921\) | −27.4025 | − | 16.6128i | −0.902944 | − | 0.547409i | ||||
\(922\) | −20.8704 | + | 33.5992i | −0.687330 | + | 1.10653i | ||||
\(923\) | −6.00163 | − | 14.4892i | −0.197546 | − | 0.476919i | ||||
\(924\) | 6.37483 | − | 12.8606i | 0.209717 | − | 0.423084i | ||||
\(925\) | 4.38844 | + | 1.81775i | 0.144291 | + | 0.0597673i | ||||
\(926\) | 3.18292 | − | 19.3378i | 0.104597 | − | 0.635480i | ||||
\(927\) | −0.964961 | − | 1.84994i | −0.0316935 | − | 0.0607599i | ||||
\(928\) | 33.3203 | − | 12.6344i | 1.09379 | − | 0.414746i | ||||
\(929\) | −2.05983 | −0.0675808 | −0.0337904 | − | 0.999429i | \(-0.510758\pi\) | ||||
−0.0337904 | + | 0.999429i | \(0.510758\pi\) | |||||||
\(930\) | −5.29319 | + | 0.409784i | −0.173570 | + | 0.0134373i | ||||
\(931\) | −4.01606 | − | 8.76940i | −0.131621 | − | 0.287405i | ||||
\(932\) | 28.4228 | − | 14.0513i | 0.931021 | − | 0.460267i | ||||
\(933\) | 0.126509 | + | 0.172387i | 0.00414172 | + | 0.00564369i | ||||
\(934\) | 12.4649 | − | 20.0672i | 0.407864 | − | 0.656618i | ||||
\(935\) | 0.154437 | + | 0.154437i | 0.00505063 | + | 0.00505063i | ||||
\(936\) | 3.91104 | + | 9.67682i | 0.127836 | + | 0.316297i | ||||
\(937\) | 30.7612 | − | 30.7612i | 1.00493 | − | 1.00493i | 0.00493835 | − | 0.999988i | \(-0.498428\pi\) |
0.999988 | − | 0.00493835i | \(-0.00157193\pi\) | |||||||
\(938\) | −13.4185 | − | 17.9983i | −0.438130 | − | 0.587665i | ||||
\(939\) | 5.99152 | + | 8.16432i | 0.195526 | + | 0.266433i | ||||
\(940\) | 20.4606 | − | 1.36126i | 0.667351 | − | 0.0443994i | ||||
\(941\) | −1.12969 | + | 2.72731i | −0.0368268 | + | 0.0889078i | −0.941223 | − | 0.337786i | \(-0.890322\pi\) |
0.904396 | + | 0.426694i | \(0.140322\pi\) | |||||||
\(942\) | 7.85784 | − | 9.17660i | 0.256022 | − | 0.298990i | ||||
\(943\) | −3.58512 | −0.116748 | ||||||||
\(944\) | 0.494356 | − | 1.85958i | 0.0160899 | − | 0.0605242i | ||||
\(945\) | 4.90944 | − | 10.4682i | 0.159704 | − | 0.340531i | ||||
\(946\) | −7.03699 | − | 9.80993i | −0.228792 | − | 0.318948i | ||||
\(947\) | −11.4757 | − | 4.75338i | −0.372909 | − | 0.154464i | 0.188354 | − | 0.982101i | \(-0.439685\pi\) |
−0.561264 | + | 0.827637i | \(0.689685\pi\) | |||||||
\(948\) | 15.9978 | − | 30.8365i | 0.519584 | − | 1.00152i | ||||
\(949\) | −2.19198 | + | 0.907948i | −0.0711547 | + | 0.0294733i | ||||
\(950\) | 8.14540 | − | 1.90346i | 0.264272 | − | 0.0617565i | ||||
\(951\) | 9.77974 | − | 16.1315i | 0.317130 | − | 0.523101i | ||||
\(952\) | 0.943371 | − | 0.806071i | 0.0305748 | − | 0.0261249i | ||||
\(953\) | −6.95641 | − | 6.95641i | −0.225340 | − | 0.225340i | 0.585403 | − | 0.810743i | \(-0.300936\pi\) |
−0.810743 | + | 0.585403i | \(0.800936\pi\) | |||||||
\(954\) | 2.31829 | − | 30.8362i | 0.0750575 | − | 0.998359i | ||||
\(955\) | 6.55827 | − | 2.71653i | 0.212221 | − | 0.0879047i | ||||
\(956\) | 23.7935 | + | 8.05073i | 0.769537 | + | 0.260379i | ||||
\(957\) | −16.8904 | − | 2.59253i | −0.545988 | − | 0.0838045i | ||||
\(958\) | 10.6710 | + | 1.75640i | 0.344763 | + | 0.0567466i | ||||
\(959\) | −22.0933 | + | 9.63078i | −0.713431 | + | 0.310994i | ||||
\(960\) | −7.84416 | + | 8.61841i | −0.253169 | + | 0.278158i | ||||
\(961\) | 24.3587 | 0.785764 | ||||||||
\(962\) | −0.312621 | + | 1.89933i | −0.0100793 | + | 0.0612368i | ||||
\(963\) | −2.24366 | − | 25.4032i | −0.0723010 | − | 0.818607i | ||||
\(964\) | −40.8355 | − | 13.8170i | −1.31522 | − | 0.445017i | ||||
\(965\) | −5.60213 | − | 13.5247i | −0.180339 | − | 0.435377i | ||||
\(966\) | 11.3403 | − | 1.08792i | 0.364867 | − | 0.0350033i | ||||
\(967\) | −0.135613 | + | 0.135613i | −0.00436103 | + | 0.00436103i | −0.709284 | − | 0.704923i | \(-0.750982\pi\) |
0.704923 | + | 0.709284i | \(0.250982\pi\) | |||||||
\(968\) | −23.1238 | + | 7.05179i | −0.743228 | + | 0.226653i | ||||
\(969\) | 0.205155 | − | 0.338400i | 0.00659053 | − | 0.0108710i | ||||
\(970\) | −15.2767 | + | 3.56995i | −0.490506 | + | 0.114624i | ||||
\(971\) | −28.4585 | + | 11.7879i | −0.913277 | + | 0.378292i | −0.789310 | − | 0.613995i | \(-0.789562\pi\) |
−0.123967 | + | 0.992286i | \(0.539562\pi\) | |||||||
\(972\) | −14.4802 | − | 27.6102i | −0.464452 | − | 0.885598i | ||||
\(973\) | −0.331156 | − | 18.0165i | −0.0106164 | − | 0.577581i | ||||
\(974\) | −25.5376 | + | 18.3190i | −0.818278 | + | 0.586979i | ||||
\(975\) | 8.88255 | − | 2.17744i | 0.284469 | − | 0.0697339i | ||||
\(976\) | −39.3462 | + | 22.8198i | −1.25944 | + | 0.730443i | ||||
\(977\) | −7.14929 | −0.228726 | −0.114363 | − | 0.993439i | \(-0.536483\pi\) | ||||
−0.114363 | + | 0.993439i | \(0.536483\pi\) | |||||||
\(978\) | −35.5416 | − | 30.4340i | −1.13650 | − | 0.973171i | ||||
\(979\) | 20.9736 | + | 8.68754i | 0.670319 | + | 0.277655i | ||||
\(980\) | 7.42388 | − | 9.13911i | 0.237147 | − | 0.291938i | ||||
\(981\) | 19.9980 | − | 23.8728i | 0.638488 | − | 0.762199i | ||||
\(982\) | −2.18580 | − | 9.35357i | −0.0697515 | − | 0.298484i | ||||
\(983\) | −5.87649 | − | 5.87649i | −0.187431 | − | 0.187431i | 0.607154 | − | 0.794584i | \(-0.292311\pi\) |
−0.794584 | + | 0.607154i | \(0.792311\pi\) | |||||||
\(984\) | 1.43078 | + | 9.88833i | 0.0456115 | + | 0.315228i | ||||
\(985\) | 8.10413 | + | 8.10413i | 0.258219 | + | 0.258219i | ||||
\(986\) | −1.25484 | − | 0.779453i | −0.0399622 | − | 0.0248228i | ||||
\(987\) | −28.0790 | + | 48.2964i | −0.893765 | + | 1.53729i | ||||
\(988\) | 1.50224 | + | 3.03870i | 0.0477925 | + | 0.0966739i | ||||
\(989\) | 3.66684 | − | 8.85254i | 0.116599 | − | 0.281494i | ||||
\(990\) | 5.30869 | − | 1.74547i | 0.168721 | − | 0.0554745i | ||||
\(991\) | 23.6616 | 0.751636 | 0.375818 | − | 0.926694i | \(-0.377362\pi\) | ||||
0.375818 | + | 0.926694i | \(0.377362\pi\) | |||||||
\(992\) | −10.6155 | + | 9.99163i | −0.337044 | + | 0.317235i | ||||
\(993\) | −44.4220 | + | 10.8895i | −1.40969 | + | 0.345567i | ||||
\(994\) | 11.7076 | + | 46.2470i | 0.371343 | + | 1.46687i | ||||
\(995\) | 5.29123 | − | 12.7741i | 0.167743 | − | 0.404968i | ||||
\(996\) | 3.71193 | − | 3.12352i | 0.117617 | − | 0.0989727i | ||||
\(997\) | −38.1577 | + | 15.8054i | −1.20847 | + | 0.500563i | −0.893725 | − | 0.448614i | \(-0.851918\pi\) |
−0.314741 | + | 0.949178i | \(0.601918\pi\) | |||||||
\(998\) | −14.3650 | + | 23.1262i | −0.454716 | + | 0.732046i | ||||
\(999\) | 0.368936 | − | 5.73791i | 0.0116726 | − | 0.181540i |
(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 | 672.2.bo.a.125.7 | ✓ | 496 | |
3.2 | odd | 2 | inner | 672.2.bo.a.125.118 | yes | 496 | |
7.6 | odd | 2 | inner | 672.2.bo.a.125.8 | yes | 496 | |
21.20 | even | 2 | inner | 672.2.bo.a.125.117 | yes | 496 | |
32.21 | even | 8 | inner | 672.2.bo.a.629.117 | yes | 496 | |
96.53 | odd | 8 | inner | 672.2.bo.a.629.8 | yes | 496 | |
224.181 | odd | 8 | inner | 672.2.bo.a.629.118 | yes | 496 | |
672.629 | even | 8 | inner | 672.2.bo.a.629.7 | yes | 496 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
672.2.bo.a.125.7 | ✓ | 496 | 1.1 | even | 1 | trivial | |
672.2.bo.a.125.8 | yes | 496 | 7.6 | odd | 2 | inner | |
672.2.bo.a.125.117 | yes | 496 | 21.20 | even | 2 | inner | |
672.2.bo.a.125.118 | yes | 496 | 3.2 | odd | 2 | inner | |
672.2.bo.a.629.7 | yes | 496 | 672.629 | even | 8 | inner | |
672.2.bo.a.629.8 | yes | 496 | 96.53 | odd | 8 | inner | |
672.2.bo.a.629.117 | yes | 496 | 32.21 | even | 8 | inner | |
672.2.bo.a.629.118 | yes | 496 | 224.181 | odd | 8 | inner |