Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), 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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 169.5 | ||
Character | \(\chi\) | \(=\) | 177.169 |
Dual form | 177.2.e.b.22.5 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{16}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.302557 | − | 1.84551i | 0.213940 | − | 1.30498i | −0.633359 | − | 0.773858i | \(-0.718324\pi\) |
0.847299 | − | 0.531117i | \(-0.178227\pi\) | |||||||
\(3\) | −0.267528 | + | 0.963550i | −0.154458 | + | 0.556306i | ||||
\(4\) | −1.41907 | − | 0.478141i | −0.709536 | − | 0.239071i | ||||
\(5\) | 1.62093 | + | 2.39070i | 0.724903 | + | 1.06915i | 0.994352 | + | 0.106137i | \(0.0338482\pi\) |
−0.269449 | + | 0.963015i | \(0.586841\pi\) | |||||||
\(6\) | 1.69730 | + | 0.785256i | 0.692921 | + | 0.320579i | ||||
\(7\) | 1.15886 | − | 0.255085i | 0.438009 | − | 0.0964130i | 0.00950872 | − | 0.999955i | \(-0.496973\pi\) |
0.428500 | + | 0.903542i | \(0.359042\pi\) | |||||||
\(8\) | 0.440222 | − | 0.830346i | 0.155642 | − | 0.293572i | ||||
\(9\) | −0.856857 | − | 0.515554i | −0.285619 | − | 0.171851i | ||||
\(10\) | 4.90248 | − | 2.26813i | 1.55030 | − | 0.717246i | ||||
\(11\) | 3.14625 | − | 2.39171i | 0.948629 | − | 0.721129i | −0.0117196 | − | 0.999931i | \(-0.503731\pi\) |
0.960348 | + | 0.278802i | \(0.0899374\pi\) | |||||||
\(12\) | 0.840355 | − | 1.23943i | 0.242590 | − | 0.357793i | ||||
\(13\) | −3.86478 | + | 2.32536i | −1.07190 | + | 0.644940i | −0.938204 | − | 0.346083i | \(-0.887512\pi\) |
−0.133694 | + | 0.991023i | \(0.542684\pi\) | |||||||
\(14\) | −0.120141 | − | 2.21587i | −0.0321091 | − | 0.592217i | ||||
\(15\) | −2.73720 | + | 0.922270i | −0.706742 | + | 0.238129i | ||||
\(16\) | −3.78346 | − | 2.87611i | −0.945865 | − | 0.719028i | ||||
\(17\) | 0.853899 | + | 0.187957i | 0.207101 | + | 0.0455864i | 0.317309 | − | 0.948322i | \(-0.397221\pi\) |
−0.110208 | + | 0.993909i | \(0.535152\pi\) | |||||||
\(18\) | −1.21071 | + | 1.42536i | −0.285367 | + | 0.335960i | ||||
\(19\) | −3.75273 | + | 0.408134i | −0.860935 | + | 0.0936323i | −0.527925 | − | 0.849291i | \(-0.677030\pi\) |
−0.333010 | + | 0.942923i | \(0.608064\pi\) | |||||||
\(20\) | −1.15713 | − | 4.16761i | −0.258742 | − | 0.931905i | ||||
\(21\) | −0.0642415 | + | 1.18486i | −0.0140186 | + | 0.258559i | ||||
\(22\) | −3.46202 | − | 6.53007i | −0.738106 | − | 1.39222i | ||||
\(23\) | 2.31962 | + | 2.73087i | 0.483674 | + | 0.569425i | 0.948823 | − | 0.315807i | \(-0.102275\pi\) |
−0.465149 | + | 0.885232i | \(0.653999\pi\) | |||||||
\(24\) | 0.682308 | + | 0.646317i | 0.139276 | + | 0.131929i | ||||
\(25\) | −1.23732 | + | 3.10543i | −0.247463 | + | 0.621085i | ||||
\(26\) | 3.12217 | + | 7.83606i | 0.612308 | + | 1.53678i | ||||
\(27\) | 0.725995 | − | 0.687699i | 0.139718 | − | 0.132348i | ||||
\(28\) | −1.76648 | − | 0.192116i | −0.333833 | − | 0.0363065i | ||||
\(29\) | −0.671290 | − | 4.09469i | −0.124655 | − | 0.760365i | −0.972980 | − | 0.230888i | \(-0.925837\pi\) |
0.848325 | − | 0.529476i | \(-0.177612\pi\) | |||||||
\(30\) | 0.873904 | + | 5.33058i | 0.159552 | + | 0.973226i | ||||
\(31\) | −5.65169 | − | 0.614658i | −1.01507 | − | 0.110396i | −0.414570 | − | 0.910018i | \(-0.636068\pi\) |
−0.600504 | + | 0.799622i | \(0.705033\pi\) | |||||||
\(32\) | −5.08799 | + | 4.81960i | −0.899439 | + | 0.851994i | ||||
\(33\) | 1.46283 | + | 3.67142i | 0.254645 | + | 0.639112i | ||||
\(34\) | 0.605231 | − | 1.51901i | 0.103796 | − | 0.260509i | ||||
\(35\) | 2.48827 | + | 2.35701i | 0.420594 | + | 0.398408i | ||||
\(36\) | 0.969435 | + | 1.14131i | 0.161573 | + | 0.190218i | ||||
\(37\) | −2.58442 | − | 4.87473i | −0.424876 | − | 0.801401i | 0.574984 | − | 0.818165i | \(-0.305008\pi\) |
−0.999859 | + | 0.0167639i | \(0.994664\pi\) | |||||||
\(38\) | −0.382196 | + | 7.04920i | −0.0620004 | + | 1.14353i | ||||
\(39\) | −1.20666 | − | 4.34601i | −0.193221 | − | 0.695919i | ||||
\(40\) | 2.69868 | − | 0.293499i | 0.426698 | − | 0.0464062i | ||||
\(41\) | −4.30020 | + | 5.06259i | −0.671579 | + | 0.790644i | −0.987412 | − | 0.158171i | \(-0.949440\pi\) |
0.315833 | + | 0.948815i | \(0.397716\pi\) | |||||||
\(42\) | 2.16725 | + | 0.477047i | 0.334413 | + | 0.0736099i | ||||
\(43\) | 7.31003 | + | 5.55694i | 1.11477 | + | 0.847426i | 0.989476 | − | 0.144694i | \(-0.0462199\pi\) |
0.125293 | + | 0.992120i | \(0.460013\pi\) | |||||||
\(44\) | −5.60833 | + | 1.88967i | −0.845488 | + | 0.284878i | ||||
\(45\) | −0.156375 | − | 2.88416i | −0.0233110 | − | 0.429946i | ||||
\(46\) | 5.74167 | − | 3.45465i | 0.846563 | − | 0.509360i | ||||
\(47\) | 5.31007 | − | 7.83177i | 0.774554 | − | 1.14238i | −0.211731 | − | 0.977328i | \(-0.567910\pi\) |
0.986285 | − | 0.165053i | \(-0.0527796\pi\) | |||||||
\(48\) | 3.78346 | − | 2.87611i | 0.546095 | − | 0.415131i | ||||
\(49\) | −5.07513 | + | 2.34801i | −0.725019 | + | 0.335430i | ||||
\(50\) | 5.35675 | + | 3.22305i | 0.757559 | + | 0.455808i | ||||
\(51\) | −0.409549 | + | 0.772491i | −0.0573483 | + | 0.108170i | ||||
\(52\) | 6.59626 | − | 1.45195i | 0.914737 | − | 0.201349i | ||||
\(53\) | −9.18831 | − | 4.25096i | −1.26211 | − | 0.583915i | −0.329281 | − | 0.944232i | \(-0.606806\pi\) |
−0.932830 | + | 0.360317i | \(0.882668\pi\) | |||||||
\(54\) | −1.04950 | − | 1.54790i | −0.142819 | − | 0.210643i | ||||
\(55\) | 10.8177 | + | 3.64491i | 1.45866 | + | 0.491480i | ||||
\(56\) | 0.298348 | − | 1.07455i | 0.0398684 | − | 0.143593i | ||||
\(57\) | 0.610704 | − | 3.72513i | 0.0808897 | − | 0.493406i | ||||
\(58\) | −7.75991 | −1.01893 | ||||||||
\(59\) | −3.84234 | + | 6.65105i | −0.500230 | + | 0.865893i | ||||
\(60\) | 4.32526 | 0.558389 | ||||||||
\(61\) | −1.88706 | + | 11.5105i | −0.241613 | + | 1.47377i | 0.535566 | + | 0.844494i | \(0.320098\pi\) |
−0.777179 | + | 0.629280i | \(0.783350\pi\) | |||||||
\(62\) | −2.84432 | + | 10.2443i | −0.361229 | + | 1.30103i | ||||
\(63\) | −1.12449 | − | 0.378885i | −0.141672 | − | 0.0477350i | ||||
\(64\) | 2.02112 | + | 2.98093i | 0.252640 | + | 0.372616i | ||||
\(65\) | −11.8238 | − | 5.47027i | −1.46656 | − | 0.678503i | ||||
\(66\) | 7.21824 | − | 1.58885i | 0.888503 | − | 0.195574i | ||||
\(67\) | −0.875003 | + | 1.65043i | −0.106899 | + | 0.201632i | −0.931191 | − | 0.364533i | \(-0.881229\pi\) |
0.824292 | + | 0.566165i | \(0.191574\pi\) | |||||||
\(68\) | −1.12187 | − | 0.675010i | −0.136047 | − | 0.0818570i | ||||
\(69\) | −3.25189 | + | 1.50448i | −0.391482 | + | 0.181119i | ||||
\(70\) | 5.10274 | − | 3.87900i | 0.609894 | − | 0.463629i | ||||
\(71\) | 2.55264 | − | 3.76487i | 0.302943 | − | 0.446808i | −0.645498 | − | 0.763762i | \(-0.723350\pi\) |
0.948441 | + | 0.316955i | \(0.102660\pi\) | |||||||
\(72\) | −0.805296 | + | 0.484530i | −0.0949050 | + | 0.0571024i | ||||
\(73\) | −0.451075 | − | 8.31958i | −0.0527943 | − | 0.973733i | −0.898194 | − | 0.439599i | \(-0.855121\pi\) |
0.845400 | − | 0.534134i | \(-0.179362\pi\) | |||||||
\(74\) | −9.77832 | + | 3.29470i | −1.13671 | + | 0.383001i | ||||
\(75\) | −2.66122 | − | 2.02300i | −0.307291 | − | 0.233596i | ||||
\(76\) | 5.52054 | + | 1.21516i | 0.633250 | + | 0.139389i | ||||
\(77\) | 3.03598 | − | 3.57423i | 0.345982 | − | 0.407321i | ||||
\(78\) | −8.38571 | + | 0.912001i | −0.949494 | + | 0.103264i | ||||
\(79\) | −3.71762 | − | 13.3896i | −0.418264 | − | 1.50645i | −0.810031 | − | 0.586387i | \(-0.800550\pi\) |
0.391766 | − | 0.920065i | \(-0.371864\pi\) | |||||||
\(80\) | 0.743176 | − | 13.7071i | 0.0830896 | − | 1.53250i | ||||
\(81\) | 0.468408 | + | 0.883512i | 0.0520454 | + | 0.0981680i | ||||
\(82\) | 8.04202 | + | 9.46780i | 0.888093 | + | 1.04554i | ||||
\(83\) | 11.1642 | + | 10.5753i | 1.22543 | + | 1.16079i | 0.981594 | + | 0.190978i | \(0.0611658\pi\) |
0.243840 | + | 0.969815i | \(0.421593\pi\) | |||||||
\(84\) | 0.657696 | − | 1.65069i | 0.0717605 | − | 0.180105i | ||||
\(85\) | 0.934763 | + | 2.34608i | 0.101389 | + | 0.254468i | ||||
\(86\) | 12.4671 | − | 11.8095i | 1.34436 | − | 1.27345i | ||||
\(87\) | 4.12503 | + | 0.448624i | 0.442249 | + | 0.0480975i | ||||
\(88\) | −0.600905 | − | 3.66536i | −0.0640567 | − | 0.390729i | ||||
\(89\) | −0.307465 | − | 1.87545i | −0.0325912 | − | 0.198798i | 0.965512 | − | 0.260358i | \(-0.0838406\pi\) |
−0.998103 | + | 0.0615604i | \(0.980392\pi\) | |||||||
\(90\) | −5.37007 | − | 0.584031i | −0.566055 | − | 0.0615622i | ||||
\(91\) | −3.88559 | + | 3.68062i | −0.407320 | + | 0.385834i | ||||
\(92\) | −1.98597 | − | 4.98441i | −0.207052 | − | 0.519660i | ||||
\(93\) | 2.10424 | − | 5.28125i | 0.218200 | − | 0.547640i | ||||
\(94\) | −12.8470 | − | 12.1694i | −1.32507 | − | 1.25517i | ||||
\(95\) | −7.05864 | − | 8.31008i | −0.724202 | − | 0.852596i | ||||
\(96\) | −3.28275 | − | 6.19192i | −0.335044 | − | 0.631960i | ||||
\(97\) | 0.436458 | − | 8.04999i | 0.0443156 | − | 0.817353i | −0.888914 | − | 0.458073i | \(-0.848540\pi\) |
0.933230 | − | 0.359279i | \(-0.116977\pi\) | |||||||
\(98\) | 2.79776 | + | 10.0766i | 0.282617 | + | 1.01789i | ||||
\(99\) | −3.92894 | + | 0.427298i | −0.394873 | + | 0.0429451i | ||||
\(100\) | 3.24067 | − | 3.81522i | 0.324067 | − | 0.381522i | ||||
\(101\) | −12.7461 | − | 2.80564i | −1.26829 | − | 0.279171i | −0.470656 | − | 0.882317i | \(-0.655983\pi\) |
−0.797631 | + | 0.603145i | \(0.793914\pi\) | |||||||
\(102\) | 1.30173 | + | 0.989550i | 0.128890 | + | 0.0979800i | ||||
\(103\) | 5.37770 | − | 1.81196i | 0.529881 | − | 0.178538i | −0.0416285 | − | 0.999133i | \(-0.513255\pi\) |
0.571509 | + | 0.820595i | \(0.306358\pi\) | |||||||
\(104\) | 0.229495 | + | 4.23278i | 0.0225038 | + | 0.415059i | ||||
\(105\) | −2.93678 | + | 1.76700i | −0.286600 | + | 0.172442i | ||||
\(106\) | −10.6252 | + | 15.6710i | −1.03201 | + | 1.52210i | ||||
\(107\) | 10.2068 | − | 7.75903i | 0.986731 | − | 0.750093i | 0.0184172 | − | 0.999830i | \(-0.494137\pi\) |
0.968314 | + | 0.249737i | \(0.0803442\pi\) | |||||||
\(108\) | −1.35906 | + | 0.628767i | −0.130775 | + | 0.0605032i | ||||
\(109\) | 15.9202 | + | 9.57886i | 1.52488 | + | 0.917489i | 0.997704 | + | 0.0677313i | \(0.0215761\pi\) |
0.527174 | + | 0.849757i | \(0.323252\pi\) | |||||||
\(110\) | 9.99970 | − | 18.8614i | 0.953434 | − | 1.79837i | ||||
\(111\) | 5.38845 | − | 1.18609i | 0.511449 | − | 0.112579i | ||||
\(112\) | −5.11816 | − | 2.36791i | −0.483621 | − | 0.223747i | ||||
\(113\) | 0.800441 | + | 1.18056i | 0.0752991 | + | 0.111058i | 0.863474 | − | 0.504394i | \(-0.168284\pi\) |
−0.788175 | + | 0.615452i | \(0.788974\pi\) | |||||||
\(114\) | −6.69000 | − | 2.25412i | −0.626576 | − | 0.211118i | ||||
\(115\) | −2.76873 | + | 9.97205i | −0.258185 | + | 0.929899i | ||||
\(116\) | −1.00523 | + | 6.13163i | −0.0933333 | + | 0.569308i | ||||
\(117\) | 4.51042 | 0.416988 | ||||||||
\(118\) | 11.1121 | + | 9.10341i | 1.02295 | + | 0.838036i | ||||
\(119\) | 1.03750 | 0.0951071 | ||||||||
\(120\) | −0.439172 | + | 2.67883i | −0.0400907 | + | 0.244542i | ||||
\(121\) | 1.23576 | − | 4.45079i | 0.112341 | − | 0.404617i | ||||
\(122\) | 20.6719 | + | 6.96518i | 1.87155 | + | 0.630598i | ||||
\(123\) | −3.72763 | − | 5.49785i | −0.336109 | − | 0.495724i | ||||
\(124\) | 7.72627 | + | 3.57455i | 0.693839 | + | 0.321004i | ||||
\(125\) | 4.67461 | − | 1.02896i | 0.418110 | − | 0.0920330i | ||||
\(126\) | −1.03946 | + | 1.96063i | −0.0926023 | + | 0.174666i | ||||
\(127\) | 2.81601 | + | 1.69434i | 0.249881 | + | 0.150348i | 0.634984 | − | 0.772525i | \(-0.281007\pi\) |
−0.385103 | + | 0.922873i | \(0.625834\pi\) | |||||||
\(128\) | −6.60828 | + | 3.05732i | −0.584095 | + | 0.270231i | ||||
\(129\) | −7.31003 | + | 5.55694i | −0.643612 | + | 0.489261i | ||||
\(130\) | −13.6728 | + | 20.1659i | −1.19918 | + | 1.76867i | ||||
\(131\) | 13.2655 | − | 7.98156i | 1.15901 | − | 0.697352i | 0.199740 | − | 0.979849i | \(-0.435990\pi\) |
0.959268 | + | 0.282496i | \(0.0911625\pi\) | |||||||
\(132\) | −0.320401 | − | 5.90945i | −0.0278873 | − | 0.514351i | ||||
\(133\) | −4.24479 | + | 1.43024i | −0.368070 | + | 0.124017i | ||||
\(134\) | 2.78115 | + | 2.11418i | 0.240255 | + | 0.182637i | ||||
\(135\) | 2.82087 | + | 0.620920i | 0.242782 | + | 0.0534403i | ||||
\(136\) | 0.531975 | − | 0.626289i | 0.0456165 | − | 0.0537039i | ||||
\(137\) | 11.8886 | − | 1.29296i | 1.01571 | − | 0.110465i | 0.414908 | − | 0.909863i | \(-0.363814\pi\) |
0.600802 | + | 0.799398i | \(0.294848\pi\) | |||||||
\(138\) | 1.79267 | + | 6.45660i | 0.152602 | + | 0.549622i | ||||
\(139\) | −0.490886 | + | 9.05387i | −0.0416364 | + | 0.767939i | 0.900939 | + | 0.433946i | \(0.142879\pi\) |
−0.942575 | + | 0.333993i | \(0.891604\pi\) | |||||||
\(140\) | −2.40405 | − | 4.53451i | −0.203179 | − | 0.383236i | ||||
\(141\) | 6.12571 | + | 7.21174i | 0.515878 | + | 0.607338i | ||||
\(142\) | −6.17580 | − | 5.85003i | −0.518261 | − | 0.490923i | ||||
\(143\) | −6.59796 | + | 16.5596i | −0.551749 | + | 1.38478i | ||||
\(144\) | 1.75909 | + | 4.41499i | 0.146591 | + | 0.367916i | ||||
\(145\) | 8.70104 | − | 8.24206i | 0.722582 | − | 0.684466i | ||||
\(146\) | −15.4904 | − | 1.68468i | −1.28199 | − | 0.139425i | ||||
\(147\) | −0.904680 | − | 5.51830i | −0.0746168 | − | 0.455142i | ||||
\(148\) | 1.33667 | + | 8.15332i | 0.109873 | + | 0.670199i | ||||
\(149\) | −3.05282 | − | 0.332014i | −0.250097 | − | 0.0271997i | −0.0177882 | − | 0.999842i | \(-0.505662\pi\) |
−0.232309 | + | 0.972642i | \(0.574628\pi\) | |||||||
\(150\) | −4.53865 | + | 4.29924i | −0.370579 | + | 0.351031i | ||||
\(151\) | 7.92992 | + | 19.9026i | 0.645328 | + | 1.61965i | 0.777835 | + | 0.628468i | \(0.216318\pi\) |
−0.132507 | + | 0.991182i | \(0.542303\pi\) | |||||||
\(152\) | −1.31314 | + | 3.29573i | −0.106510 | + | 0.267319i | ||||
\(153\) | −0.634767 | − | 0.601284i | −0.0513179 | − | 0.0486109i | ||||
\(154\) | −5.67773 | − | 6.68434i | −0.457524 | − | 0.538639i | ||||
\(155\) | −7.69154 | − | 14.5078i | −0.617800 | − | 1.16529i | ||||
\(156\) | −0.365663 | + | 6.74426i | −0.0292765 | + | 0.539973i | ||||
\(157\) | 1.59809 | + | 5.75580i | 0.127542 | + | 0.459363i | 0.999546 | − | 0.0301351i | \(-0.00959377\pi\) |
−0.872004 | + | 0.489498i | \(0.837180\pi\) | |||||||
\(158\) | −25.8355 | + | 2.80979i | −2.05537 | + | 0.223535i | ||||
\(159\) | 6.55415 | − | 7.71614i | 0.519778 | − | 0.611930i | ||||
\(160\) | −19.7695 | − | 4.35160i | −1.56292 | − | 0.344024i | ||||
\(161\) | 3.38472 | + | 2.57300i | 0.266753 | + | 0.202781i | ||||
\(162\) | 1.77225 | − | 0.597142i | 0.139241 | − | 0.0469159i | ||||
\(163\) | 0.00987540 | + | 0.182141i | 0.000773501 | + | 0.0142664i | 0.998895 | − | 0.0470043i | \(-0.0149675\pi\) |
−0.998121 | + | 0.0612707i | \(0.980485\pi\) | |||||||
\(164\) | 8.52293 | − | 5.12808i | 0.665529 | − | 0.400436i | ||||
\(165\) | −6.40610 | + | 9.44829i | −0.498714 | + | 0.735548i | ||||
\(166\) | 22.8947 | − | 17.4041i | 1.77698 | − | 1.35082i | ||||
\(167\) | −13.4410 | + | 6.21845i | −1.04009 | + | 0.481198i | −0.864167 | − | 0.503205i | \(-0.832154\pi\) |
−0.175926 | + | 0.984403i | \(0.556292\pi\) | |||||||
\(168\) | 0.955567 | + | 0.574946i | 0.0737236 | + | 0.0443580i | ||||
\(169\) | 3.43993 | − | 6.48839i | 0.264610 | − | 0.499107i | ||||
\(170\) | 4.61254 | − | 1.01530i | 0.353766 | − | 0.0778697i | ||||
\(171\) | 3.42597 | + | 1.58502i | 0.261990 | + | 0.121210i | ||||
\(172\) | −7.71646 | − | 11.3809i | −0.588375 | − | 0.867788i | ||||
\(173\) | 11.2785 | + | 3.80016i | 0.857485 | + | 0.288920i | 0.713496 | − | 0.700659i | \(-0.247110\pi\) |
0.143989 | + | 0.989579i | \(0.454007\pi\) | |||||||
\(174\) | 2.07599 | − | 7.47706i | 0.157381 | − | 0.566834i | ||||
\(175\) | −0.641730 | + | 3.91438i | −0.0485103 | + | 0.295899i | ||||
\(176\) | −18.7825 | −1.41579 | ||||||||
\(177\) | −5.38068 | − | 5.48163i | −0.404437 | − | 0.412024i | ||||
\(178\) | −3.55420 | −0.266399 | ||||||||
\(179\) | 0.849504 | − | 5.18175i | 0.0634949 | − | 0.387302i | −0.935892 | − | 0.352287i | \(-0.885404\pi\) |
0.999387 | − | 0.0350145i | \(-0.0111477\pi\) | |||||||
\(180\) | −1.15713 | + | 4.16761i | −0.0862474 | + | 0.310635i | ||||
\(181\) | −16.2009 | − | 5.45871i | −1.20420 | − | 0.405743i | −0.355531 | − | 0.934665i | \(-0.615700\pi\) |
−0.848670 | + | 0.528922i | \(0.822596\pi\) | |||||||
\(182\) | 5.61703 | + | 8.28450i | 0.416362 | + | 0.614088i | ||||
\(183\) | −10.5861 | − | 4.89767i | −0.782550 | − | 0.362046i | ||||
\(184\) | 3.28871 | − | 0.723900i | 0.242447 | − | 0.0533666i | ||||
\(185\) | 7.46483 | − | 14.0802i | 0.548825 | − | 1.03519i | ||||
\(186\) | −9.10996 | − | 5.48128i | −0.667975 | − | 0.401907i | ||||
\(187\) | 3.13612 | − | 1.45092i | 0.229336 | − | 0.106102i | ||||
\(188\) | −11.2801 | + | 8.57489i | −0.822684 | + | 0.625388i | ||||
\(189\) | 0.665907 | − | 0.982139i | 0.0484376 | − | 0.0714401i | ||||
\(190\) | −17.4720 | + | 10.5126i | −1.26755 | + | 0.762661i | ||||
\(191\) | −1.13544 | − | 20.9420i | −0.0821578 | − | 1.51531i | −0.691484 | − | 0.722392i | \(-0.743043\pi\) |
0.609326 | − | 0.792920i | \(-0.291440\pi\) | |||||||
\(192\) | −3.41298 | + | 1.14997i | −0.246310 | + | 0.0829916i | ||||
\(193\) | 7.85441 | + | 5.97077i | 0.565373 | + | 0.429785i | 0.848422 | − | 0.529320i | \(-0.177553\pi\) |
−0.283049 | + | 0.959105i | \(0.591346\pi\) | |||||||
\(194\) | −14.7243 | − | 3.24107i | −1.05714 | − | 0.232695i | ||||
\(195\) | 8.43407 | − | 9.92936i | 0.603976 | − | 0.711056i | ||||
\(196\) | 8.32467 | − | 0.905362i | 0.594619 | − | 0.0646687i | ||||
\(197\) | 3.85177 | + | 13.8728i | 0.274427 | + | 0.988397i | 0.964375 | + | 0.264538i | \(0.0852196\pi\) |
−0.689948 | + | 0.723859i | \(0.742367\pi\) | |||||||
\(198\) | −0.400143 | + | 7.38020i | −0.0284369 | + | 0.524488i | ||||
\(199\) | 1.07304 | + | 2.02396i | 0.0760654 | + | 0.143475i | 0.918628 | − | 0.395125i | \(-0.129299\pi\) |
−0.842562 | + | 0.538599i | \(0.818954\pi\) | |||||||
\(200\) | 2.03389 | + | 2.39448i | 0.143818 | + | 0.169315i | ||||
\(201\) | −1.35618 | − | 1.28465i | −0.0956579 | − | 0.0906120i | ||||
\(202\) | −9.03426 | + | 22.6743i | −0.635649 | + | 1.59536i | ||||
\(203\) | −1.82243 | − | 4.57394i | −0.127909 | − | 0.321028i | ||||
\(204\) | 0.950539 | − | 0.900398i | 0.0665510 | − | 0.0630405i | ||||
\(205\) | −19.0734 | − | 2.07436i | −1.33215 | − | 0.144880i | ||||
\(206\) | −1.71694 | − | 10.4728i | −0.119625 | − | 0.729678i | ||||
\(207\) | −0.579673 | − | 3.53585i | −0.0402901 | − | 0.245759i | ||||
\(208\) | 21.3102 | + | 2.31763i | 1.47760 | + | 0.160699i | ||||
\(209\) | −10.8309 | + | 10.2595i | −0.749187 | + | 0.709668i | ||||
\(210\) | 2.37248 | + | 5.95449i | 0.163717 | + | 0.410899i | ||||
\(211\) | −6.90875 | + | 17.3396i | −0.475618 | + | 1.19371i | 0.474063 | + | 0.880491i | \(0.342787\pi\) |
−0.949681 | + | 0.313220i | \(0.898592\pi\) | |||||||
\(212\) | 11.0063 | + | 10.4257i | 0.755917 | + | 0.716043i | ||||
\(213\) | 2.94473 | + | 3.46681i | 0.201770 | + | 0.237542i | ||||
\(214\) | −11.2312 | − | 21.1844i | −0.767752 | − | 1.44813i | ||||
\(215\) | −1.43589 | + | 26.4835i | −0.0979271 | + | 1.80616i | ||||
\(216\) | −0.251430 | − | 0.905568i | −0.0171076 | − | 0.0616161i | ||||
\(217\) | −6.70632 | + | 0.729356i | −0.455255 | + | 0.0495119i | ||||
\(218\) | 22.4947 | − | 26.4828i | 1.52353 | − | 1.79364i | ||||
\(219\) | 8.13701 | + | 1.79109i | 0.549848 | + | 0.121031i | ||||
\(220\) | −13.6083 | − | 10.3448i | −0.917474 | − | 0.697446i | ||||
\(221\) | −3.73720 | + | 1.25921i | −0.251392 | + | 0.0847037i | ||||
\(222\) | −0.558630 | − | 10.3033i | −0.0374928 | − | 0.691514i | ||||
\(223\) | 12.1848 | − | 7.33135i | 0.815954 | − | 0.490943i | −0.0453876 | − | 0.998969i | \(-0.514452\pi\) |
0.861342 | + | 0.508026i | \(0.169625\pi\) | |||||||
\(224\) | −4.66688 | + | 6.88313i | −0.311819 | + | 0.459898i | ||||
\(225\) | 2.66122 | − | 2.02300i | 0.177414 | − | 0.134867i | ||||
\(226\) | 2.42092 | − | 1.12004i | 0.161037 | − | 0.0745038i | ||||
\(227\) | 3.62467 | + | 2.18089i | 0.240578 | + | 0.144751i | 0.630737 | − | 0.775996i | \(-0.282753\pi\) |
−0.390159 | + | 0.920747i | \(0.627580\pi\) | |||||||
\(228\) | −2.64777 | + | 4.99423i | −0.175353 | + | 0.330751i | ||||
\(229\) | 14.3527 | − | 3.15926i | 0.948450 | − | 0.208770i | 0.286299 | − | 0.958140i | \(-0.407575\pi\) |
0.662151 | + | 0.749370i | \(0.269644\pi\) | |||||||
\(230\) | 17.5659 | + | 8.12683i | 1.15826 | + | 0.535868i | ||||
\(231\) | 2.63174 | + | 3.88152i | 0.173156 | + | 0.255385i | ||||
\(232\) | −3.69553 | − | 1.24517i | −0.242623 | − | 0.0817493i | ||||
\(233\) | −7.16169 | + | 25.7941i | −0.469178 | + | 1.68983i | 0.228608 | + | 0.973519i | \(0.426583\pi\) |
−0.697786 | + | 0.716307i | \(0.745831\pi\) | |||||||
\(234\) | 1.36466 | − | 8.32403i | 0.0892104 | − | 0.544159i | ||||
\(235\) | 27.3306 | 1.78286 | ||||||||
\(236\) | 8.63270 | − | 7.60114i | 0.561941 | − | 0.494792i | ||||
\(237\) | 13.8962 | 0.902652 | ||||||||
\(238\) | 0.313901 | − | 1.91471i | 0.0203472 | − | 0.124112i | ||||
\(239\) | −0.476138 | + | 1.71489i | −0.0307988 | + | 0.110927i | −0.977352 | − | 0.211621i | \(-0.932126\pi\) |
0.946553 | + | 0.322548i | \(0.104540\pi\) | |||||||
\(240\) | 13.0086 | + | 4.38312i | 0.839704 | + | 0.282929i | ||||
\(241\) | −8.01002 | − | 11.8139i | −0.515971 | − | 0.761000i | 0.477058 | − | 0.878872i | \(-0.341703\pi\) |
−0.993029 | + | 0.117872i | \(0.962393\pi\) | |||||||
\(242\) | −7.84011 | − | 3.62722i | −0.503981 | − | 0.233167i | ||||
\(243\) | −0.976621 | + | 0.214970i | −0.0626502 | + | 0.0137904i | ||||
\(244\) | 8.18154 | − | 15.4320i | 0.523769 | − | 0.987934i | ||||
\(245\) | −13.8398 | − | 8.32714i | −0.884194 | − | 0.532002i | ||||
\(246\) | −11.2742 | + | 5.21599i | −0.718815 | + | 0.332559i | ||||
\(247\) | 13.5544 | − | 10.3038i | 0.862447 | − | 0.655616i | ||||
\(248\) | −2.99838 | + | 4.42227i | −0.190397 | + | 0.280815i | ||||
\(249\) | −13.1766 | + | 7.92810i | −0.835034 | + | 0.502423i | ||||
\(250\) | −0.484625 | − | 8.93838i | −0.0306504 | − | 0.565313i | ||||
\(251\) | 10.4444 | − | 3.51914i | 0.659246 | − | 0.222126i | 0.0302597 | − | 0.999542i | \(-0.490367\pi\) |
0.628987 | + | 0.777416i | \(0.283470\pi\) | |||||||
\(252\) | 1.41457 | + | 1.07533i | 0.0891097 | + | 0.0677394i | ||||
\(253\) | 13.8295 | + | 3.04411i | 0.869456 | + | 0.191382i | ||||
\(254\) | 3.97893 | − | 4.68436i | 0.249660 | − | 0.293923i | ||||
\(255\) | −2.51064 | + | 0.273049i | −0.157222 | + | 0.0170990i | ||||
\(256\) | 5.56995 | + | 20.0611i | 0.348122 | + | 1.25382i | ||||
\(257\) | −0.699976 | + | 12.9103i | −0.0436633 | + | 0.805322i | 0.891915 | + | 0.452203i | \(0.149362\pi\) |
−0.935578 | + | 0.353119i | \(0.885121\pi\) | |||||||
\(258\) | 8.04371 | + | 15.1720i | 0.500780 | + | 0.944571i | ||||
\(259\) | −4.23846 | − | 4.98990i | −0.263365 | − | 0.310057i | ||||
\(260\) | 14.1633 | + | 13.4161i | 0.878368 | + | 0.832034i | ||||
\(261\) | −1.53583 | + | 3.85465i | −0.0950657 | + | 0.238597i | ||||
\(262\) | −10.7165 | − | 26.8965i | −0.662069 | − | 1.66167i | ||||
\(263\) | 17.2907 | − | 16.3786i | 1.06619 | − | 1.00995i | 0.0662646 | − | 0.997802i | \(-0.478892\pi\) |
0.999926 | − | 0.0121475i | \(-0.00386677\pi\) | |||||||
\(264\) | 3.69252 | + | 0.401585i | 0.227259 | + | 0.0247159i | ||||
\(265\) | −4.73086 | − | 28.8570i | −0.290614 | − | 1.77267i | ||||
\(266\) | 1.35523 | + | 8.26654i | 0.0830945 | + | 0.506854i | ||||
\(267\) | 1.88935 | + | 0.205479i | 0.115626 | + | 0.0125751i | ||||
\(268\) | 2.03083 | − | 1.92371i | 0.124053 | − | 0.117509i | ||||
\(269\) | −2.85747 | − | 7.17171i | −0.174223 | − | 0.437267i | 0.815771 | − | 0.578375i | \(-0.196313\pi\) |
−0.989994 | + | 0.141108i | \(0.954934\pi\) | |||||||
\(270\) | 1.99939 | − | 5.01809i | 0.121679 | − | 0.305391i | ||||
\(271\) | −22.3118 | − | 21.1349i | −1.35535 | − | 1.28385i | −0.924373 | − | 0.381489i | \(-0.875411\pi\) |
−0.430974 | − | 0.902364i | \(-0.641830\pi\) | |||||||
\(272\) | −2.69011 | − | 3.16704i | −0.163112 | − | 0.192030i | ||||
\(273\) | −2.50696 | − | 4.72863i | −0.151728 | − | 0.286190i | ||||
\(274\) | 1.21079 | − | 22.3317i | 0.0731466 | − | 1.34911i | ||||
\(275\) | 3.53439 | + | 12.7297i | 0.213132 | + | 0.767632i | ||||
\(276\) | 5.33403 | − | 0.580110i | 0.321071 | − | 0.0349185i | ||||
\(277\) | −9.15014 | + | 10.7724i | −0.549779 | + | 0.647250i | −0.964931 | − | 0.262502i | \(-0.915452\pi\) |
0.415153 | + | 0.909752i | \(0.363728\pi\) | |||||||
\(278\) | 16.5605 | + | 3.64524i | 0.993233 | + | 0.218627i | ||||
\(279\) | 4.52580 | + | 3.44043i | 0.270953 | + | 0.205973i | ||||
\(280\) | 3.05253 | − | 1.02852i | 0.182423 | − | 0.0614656i | ||||
\(281\) | 1.37726 | + | 25.4021i | 0.0821607 | + | 1.51537i | 0.691454 | + | 0.722420i | \(0.256970\pi\) |
−0.609294 | + | 0.792945i | \(0.708547\pi\) | |||||||
\(282\) | 15.1627 | − | 9.12312i | 0.902928 | − | 0.543274i | ||||
\(283\) | 6.48088 | − | 9.55858i | 0.385248 | − | 0.568199i | −0.584780 | − | 0.811192i | \(-0.698819\pi\) |
0.970028 | + | 0.242994i | \(0.0781294\pi\) | |||||||
\(284\) | −5.42253 | + | 4.12210i | −0.321768 | + | 0.244602i | ||||
\(285\) | 9.89556 | − | 4.57817i | 0.586162 | − | 0.271188i | ||||
\(286\) | 28.5647 | + | 17.1868i | 1.68907 | + | 1.01628i | ||||
\(287\) | −3.69195 | + | 6.96376i | −0.217929 | + | 0.411058i | ||||
\(288\) | 6.84445 | − | 1.50658i | 0.403313 | − | 0.0887759i | ||||
\(289\) | −14.7350 | − | 6.81712i | −0.866763 | − | 0.401007i | ||||
\(290\) | −12.5783 | − | 18.5516i | −0.738622 | − | 1.08939i | ||||
\(291\) | 7.63980 | + | 2.57415i | 0.447853 | + | 0.150899i | ||||
\(292\) | −3.33783 | + | 12.0218i | −0.195332 | + | 0.703521i | ||||
\(293\) | 1.76218 | − | 10.7488i | 0.102947 | − | 0.627952i | −0.884072 | − | 0.467351i | \(-0.845209\pi\) |
0.987019 | − | 0.160601i | \(-0.0513432\pi\) | |||||||
\(294\) | −10.4578 | −0.609913 | ||||||||
\(295\) | −22.1288 | + | 1.59503i | −1.28839 | + | 0.0928664i | ||||
\(296\) | −5.18543 | −0.301397 | ||||||||
\(297\) | 0.639380 | − | 3.90005i | 0.0371006 | − | 0.226304i | ||||
\(298\) | −1.53639 | + | 5.53357i | −0.0890006 | + | 0.320551i | ||||
\(299\) | −15.3151 | − | 5.16025i | −0.885694 | − | 0.298425i | ||||
\(300\) | 2.80918 | + | 4.14323i | 0.162188 | + | 0.239209i | ||||
\(301\) | 9.88881 | + | 4.57505i | 0.569982 | + | 0.263702i | ||||
\(302\) | 39.1298 | − | 8.61311i | 2.25166 | − | 0.495629i | ||||
\(303\) | 6.11332 | − | 11.5309i | 0.351201 | − | 0.662436i | ||||
\(304\) | 15.3721 | + | 9.24911i | 0.881652 | + | 0.530473i | ||||
\(305\) | −30.5770 | + | 14.1464i | −1.75083 | + | 0.810022i | ||||
\(306\) | −1.30173 | + | 0.989550i | −0.0744150 | + | 0.0565688i | ||||
\(307\) | 0.881102 | − | 1.29953i | 0.0502872 | − | 0.0741680i | −0.801714 | − | 0.597708i | \(-0.796078\pi\) |
0.852001 | + | 0.523539i | \(0.175389\pi\) | |||||||
\(308\) | −6.01726 | + | 3.62046i | −0.342865 | + | 0.206295i | ||||
\(309\) | 0.307225 | + | 5.66644i | 0.0174774 | + | 0.322352i | ||||
\(310\) | −29.1015 | + | 9.80542i | −1.65285 | + | 0.556910i | ||||
\(311\) | −20.3931 | − | 15.5024i | −1.15639 | − | 0.879062i | −0.162202 | − | 0.986758i | \(-0.551860\pi\) |
−0.994184 | + | 0.107695i | \(0.965653\pi\) | |||||||
\(312\) | −4.13990 | − | 0.911260i | −0.234375 | − | 0.0515899i | ||||
\(313\) | 11.3386 | − | 13.3489i | 0.640897 | − | 0.754522i | −0.341794 | − | 0.939775i | \(-0.611034\pi\) |
0.982691 | + | 0.185252i | \(0.0593103\pi\) | |||||||
\(314\) | 11.1059 | − | 1.20784i | 0.626744 | − | 0.0681625i | ||||
\(315\) | −0.916923 | − | 3.30246i | −0.0516628 | − | 0.186072i | ||||
\(316\) | −1.12657 | + | 20.7784i | −0.0633747 | + | 1.16888i | ||||
\(317\) | 9.00923 | + | 16.9932i | 0.506009 | + | 0.954433i | 0.996548 | + | 0.0830145i | \(0.0264548\pi\) |
−0.490540 | + | 0.871419i | \(0.663200\pi\) | |||||||
\(318\) | −12.2572 | − | 14.4303i | −0.687352 | − | 0.809213i | ||||
\(319\) | −11.9054 | − | 11.2774i | −0.666573 | − | 0.631411i | ||||
\(320\) | −3.85039 | + | 9.66375i | −0.215243 | + | 0.540220i | ||||
\(321\) | 4.74559 | + | 11.9105i | 0.264873 | + | 0.664782i | ||||
\(322\) | 5.77257 | − | 5.46807i | 0.321693 | − | 0.304724i | ||||
\(323\) | −3.28116 | − | 0.356848i | −0.182569 | − | 0.0198556i | ||||
\(324\) | −0.242262 | − | 1.47773i | −0.0134590 | − | 0.0820963i | ||||
\(325\) | −2.43929 | − | 14.8790i | −0.135307 | − | 0.825339i | ||||
\(326\) | 0.339131 | + | 0.0368828i | 0.0187828 | + | 0.00204275i | ||||
\(327\) | −13.4888 | + | 12.7773i | −0.745933 | + | 0.706585i | ||||
\(328\) | 2.31066 | + | 5.79932i | 0.127585 | + | 0.320214i | ||||
\(329\) | 4.15588 | − | 10.4305i | 0.229121 | − | 0.575050i | ||||
\(330\) | 15.4987 | + | 14.6812i | 0.853177 | + | 0.808173i | ||||
\(331\) | −1.58762 | − | 1.86909i | −0.0872634 | − | 0.102734i | 0.716797 | − | 0.697281i | \(-0.245607\pi\) |
−0.804061 | + | 0.594547i | \(0.797331\pi\) | |||||||
\(332\) | −10.7864 | − | 20.3452i | −0.591979 | − | 1.11659i | ||||
\(333\) | −0.298709 | + | 5.50936i | −0.0163691 | + | 0.301911i | ||||
\(334\) | 7.40958 | + | 26.6869i | 0.405434 | + | 1.46024i | ||||
\(335\) | −5.36400 | + | 0.583370i | −0.293067 | + | 0.0318729i | ||||
\(336\) | 3.65085 | − | 4.29812i | 0.199170 | − | 0.234482i | ||||
\(337\) | −4.18445 | − | 0.921067i | −0.227942 | − | 0.0501737i | 0.0995308 | − | 0.995034i | \(-0.468266\pi\) |
−0.327472 | + | 0.944861i | \(0.606197\pi\) | |||||||
\(338\) | −10.9336 | − | 8.31154i | −0.594711 | − | 0.452088i | ||||
\(339\) | −1.35167 | + | 0.455431i | −0.0734127 | + | 0.0247356i | ||||
\(340\) | −0.204740 | − | 3.77621i | −0.0111036 | − | 0.204794i | ||||
\(341\) | −19.2517 | + | 11.5834i | −1.04254 | + | 0.627274i | ||||
\(342\) | 3.96173 | − | 5.84311i | 0.214226 | − | 0.315959i | ||||
\(343\) | −11.8950 | + | 9.04232i | −0.642268 | + | 0.488240i | ||||
\(344\) | 7.83222 | − | 3.62357i | 0.422285 | − | 0.195370i | ||||
\(345\) | −8.86786 | − | 5.33561i | −0.477430 | − | 0.287260i | ||||
\(346\) | 10.4256 | − | 19.6648i | 0.560484 | − | 1.05719i | ||||
\(347\) | 4.50870 | − | 0.992440i | 0.242040 | − | 0.0532770i | −0.0922938 | − | 0.995732i | \(-0.529420\pi\) |
0.334333 | + | 0.942455i | \(0.391489\pi\) | |||||||
\(348\) | −5.63921 | − | 2.60898i | −0.302293 | − | 0.139856i | ||||
\(349\) | −1.37485 | − | 2.02775i | −0.0735941 | − | 0.108543i | 0.789111 | − | 0.614251i | \(-0.210542\pi\) |
−0.862705 | + | 0.505708i | \(0.831231\pi\) | |||||||
\(350\) | 7.02988 | + | 2.36864i | 0.375763 | + | 0.126609i | ||||
\(351\) | −1.20666 | + | 4.34601i | −0.0644070 | + | 0.231973i | ||||
\(352\) | −4.48097 | + | 27.3327i | −0.238836 | + | 1.45684i | ||||
\(353\) | 6.40798 | 0.341063 | 0.170531 | − | 0.985352i | \(-0.445452\pi\) | ||||
0.170531 | + | 0.985352i | \(0.445452\pi\) | |||||||
\(354\) | −11.7444 | + | 8.27162i | −0.624207 | + | 0.439632i | ||||
\(355\) | 13.1383 | 0.697310 | ||||||||
\(356\) | −0.460417 | + | 2.80842i | −0.0244020 | + | 0.148846i | ||||
\(357\) | −0.277560 | + | 0.999680i | −0.0146900 | + | 0.0529087i | ||||
\(358\) | −9.30596 | − | 3.13554i | −0.491835 | − | 0.165719i | ||||
\(359\) | −13.8222 | − | 20.3862i | −0.729508 | − | 1.07594i | −0.993765 | − | 0.111491i | \(-0.964437\pi\) |
0.264258 | − | 0.964452i | \(-0.414873\pi\) | |||||||
\(360\) | −2.46369 | − | 1.13983i | −0.129848 | − | 0.0600741i | ||||
\(361\) | −4.63939 | + | 1.02121i | −0.244178 | + | 0.0537477i | ||||
\(362\) | −14.9758 | + | 28.2474i | −0.787111 | + | 1.48465i | ||||
\(363\) | 3.95796 | + | 2.38143i | 0.207739 | + | 0.124992i | ||||
\(364\) | 7.27379 | − | 3.36521i | 0.381250 | − | 0.176385i | ||||
\(365\) | 19.1584 | − | 14.5639i | 1.00280 | − | 0.762307i | ||||
\(366\) | −12.2416 | + | 18.0550i | −0.639880 | + | 0.943752i | ||||
\(367\) | −27.2409 | + | 16.3903i | −1.42196 | + | 0.855566i | −0.998726 | − | 0.0504541i | \(-0.983933\pi\) |
−0.423235 | + | 0.906020i | \(0.639106\pi\) | |||||||
\(368\) | −0.921909 | − | 17.0036i | −0.0480578 | − | 0.886374i | ||||
\(369\) | 6.29470 | − | 2.12093i | 0.327689 | − | 0.110411i | ||||
\(370\) | −23.7266 | − | 18.0365i | −1.23349 | − | 0.937673i | ||||
\(371\) | −11.7323 | − | 2.58248i | −0.609113 | − | 0.134076i | ||||
\(372\) | −5.51125 | + | 6.48835i | −0.285745 | + | 0.336405i | ||||
\(373\) | 11.5338 | − | 1.25438i | 0.597199 | − | 0.0649493i | 0.195473 | − | 0.980709i | \(-0.437376\pi\) |
0.401726 | + | 0.915760i | \(0.368410\pi\) | |||||||
\(374\) | −1.72884 | − | 6.22673i | −0.0893964 | − | 0.321977i | ||||
\(375\) | −0.259137 | + | 4.77950i | −0.0133818 | + | 0.246812i | ||||
\(376\) | −4.16547 | − | 7.85692i | −0.214818 | − | 0.405190i | ||||
\(377\) | 12.1160 | + | 14.2641i | 0.624007 | + | 0.734638i | ||||
\(378\) | −1.61108 | − | 1.52609i | −0.0828648 | − | 0.0784938i | ||||
\(379\) | −4.78732 | + | 12.0153i | −0.245908 | + | 0.617183i | −0.999178 | − | 0.0405283i | \(-0.987096\pi\) |
0.753270 | + | 0.657711i | \(0.228475\pi\) | |||||||
\(380\) | 6.04334 | + | 15.1676i | 0.310017 | + | 0.778083i | ||||
\(381\) | −2.38594 | + | 2.26009i | −0.122236 | + | 0.115788i | ||||
\(382\) | −38.9923 | − | 4.24067i | −1.99502 | − | 0.216972i | ||||
\(383\) | 0.913356 | + | 5.57122i | 0.0466703 | + | 0.284676i | 0.999842 | − | 0.0177521i | \(-0.00565098\pi\) |
−0.953172 | + | 0.302428i | \(0.902203\pi\) | |||||||
\(384\) | −1.17797 | − | 7.18533i | −0.0601133 | − | 0.366675i | ||||
\(385\) | 13.4660 | + | 1.46452i | 0.686291 | + | 0.0746386i | ||||
\(386\) | 13.3955 | − | 12.6889i | 0.681815 | − | 0.645849i | ||||
\(387\) | −3.39875 | − | 8.53022i | −0.172768 | − | 0.433615i | ||||
\(388\) | −4.46840 | + | 11.2148i | −0.226849 | + | 0.569347i | ||||
\(389\) | 8.02265 | + | 7.59946i | 0.406764 | + | 0.385308i | 0.863545 | − | 0.504272i | \(-0.168239\pi\) |
−0.456781 | + | 0.889579i | \(0.650998\pi\) | |||||||
\(390\) | −15.7730 | − | 18.5694i | −0.798696 | − | 0.940297i | ||||
\(391\) | 1.46743 | + | 2.76787i | 0.0742113 | + | 0.139977i | ||||
\(392\) | −0.284525 | + | 5.24776i | −0.0143707 | + | 0.265052i | ||||
\(393\) | 4.14175 | + | 14.9172i | 0.208924 | + | 0.752475i | ||||
\(394\) | 26.7678 | − | 2.91118i | 1.34854 | − | 0.146663i | ||||
\(395\) | 25.9846 | − | 30.5914i | 1.30742 | − | 1.53922i | ||||
\(396\) | 5.77976 | + | 1.27222i | 0.290444 | + | 0.0639316i | ||||
\(397\) | −26.8202 | − | 20.3882i | −1.34607 | − | 1.02325i | −0.996258 | − | 0.0864304i | \(-0.972454\pi\) |
−0.349807 | − | 0.936822i | \(-0.613753\pi\) | |||||||
\(398\) | 4.05990 | − | 1.36794i | 0.203504 | − | 0.0685686i | ||||
\(399\) | −0.242502 | − | 4.47269i | −0.0121403 | − | 0.223915i | ||||
\(400\) | 13.6129 | − | 8.19060i | 0.680644 | − | 0.409530i | ||||
\(401\) | 21.5174 | − | 31.7358i | 1.07453 | − | 1.58481i | 0.298174 | − | 0.954512i | \(-0.403623\pi\) |
0.776354 | − | 0.630298i | \(-0.217067\pi\) | |||||||
\(402\) | −2.78115 | + | 2.11418i | −0.138711 | + | 0.105446i | ||||
\(403\) | 23.2719 | − | 10.7667i | 1.15925 | − | 0.536328i | ||||
\(404\) | 16.7462 | + | 10.0759i | 0.833155 | + | 0.501292i | ||||
\(405\) | −1.35295 | + | 2.55193i | −0.0672286 | + | 0.126807i | ||||
\(406\) | −8.99266 | + | 1.97943i | −0.446298 | + | 0.0982377i | ||||
\(407\) | −19.7902 | − | 9.15591i | −0.980963 | − | 0.453842i | ||||
\(408\) | 0.461143 | + | 0.680134i | 0.0228300 | + | 0.0336717i | ||||
\(409\) | 19.2455 | + | 6.48456i | 0.951628 | + | 0.320641i | 0.751949 | − | 0.659221i | \(-0.229114\pi\) |
0.199678 | + | 0.979862i | \(0.436010\pi\) | |||||||
\(410\) | −9.59906 | + | 34.5727i | −0.474064 | + | 1.70742i | ||||
\(411\) | −1.93470 | + | 11.8011i | −0.0954317 | + | 0.582108i | ||||
\(412\) | −8.49773 | −0.418653 | ||||||||
\(413\) | −2.75616 | + | 8.68777i | −0.135622 | + | 0.427497i | ||||
\(414\) | −6.70085 | −0.329329 | ||||||||
\(415\) | −7.18592 | + | 43.8322i | −0.352743 | + | 2.15164i | ||||
\(416\) | 8.45667 | − | 30.4582i | 0.414622 | − | 1.49333i | ||||
\(417\) | −8.59253 | − | 2.89516i | −0.420778 | − | 0.141777i | ||||
\(418\) | 15.6572 | + | 23.0926i | 0.765818 | + | 1.12950i | ||||
\(419\) | 6.55876 | + | 3.03441i | 0.320417 | + | 0.148241i | 0.573504 | − | 0.819203i | \(-0.305584\pi\) |
−0.253087 | + | 0.967444i | \(0.581446\pi\) | |||||||
\(420\) | 5.01238 | − | 1.10331i | 0.244579 | − | 0.0538360i | ||||
\(421\) | −17.8034 | + | 33.5808i | −0.867684 | + | 1.63663i | −0.100739 | + | 0.994913i | \(0.532121\pi\) |
−0.766945 | + | 0.641713i | \(0.778224\pi\) | |||||||
\(422\) | 29.9103 | + | 17.9964i | 1.45601 | + | 0.876051i | ||||
\(423\) | −8.58767 | + | 3.97308i | −0.417547 | + | 0.193178i | ||||
\(424\) | −7.57467 | + | 5.75811i | −0.367858 | + | 0.279639i | ||||
\(425\) | −1.64023 | + | 2.41916i | −0.0795629 | + | 0.117346i | ||||
\(426\) | 7.28899 | − | 4.38564i | 0.353153 | − | 0.212485i | ||||
\(427\) | 0.749325 | + | 13.8205i | 0.0362624 | + | 0.668820i | ||||
\(428\) | −18.1941 | + | 6.13032i | −0.879447 | + | 0.296320i | ||||
\(429\) | −14.1909 | − | 10.7876i | −0.685142 | − | 0.520832i | ||||
\(430\) | 48.4412 | + | 10.6627i | 2.33604 | + | 0.514202i | ||||
\(431\) | −15.3179 | + | 18.0336i | −0.737836 | + | 0.868648i | −0.995220 | − | 0.0976615i | \(-0.968864\pi\) |
0.257384 | + | 0.966309i | \(0.417140\pi\) | |||||||
\(432\) | −4.72467 | + | 0.513839i | −0.227316 | + | 0.0247221i | ||||
\(433\) | −5.78217 | − | 20.8255i | −0.277873 | − | 1.00081i | −0.962359 | − | 0.271783i | \(-0.912387\pi\) |
0.684485 | − | 0.729027i | \(-0.260027\pi\) | |||||||
\(434\) | −0.683004 | + | 12.5973i | −0.0327853 | + | 0.604689i | ||||
\(435\) | 5.61386 | + | 10.5889i | 0.269164 | + | 0.507698i | ||||
\(436\) | −18.0119 | − | 21.2052i | −0.862612 | − | 1.01555i | ||||
\(437\) | −9.81946 | − | 9.30149i | −0.469729 | − | 0.444951i | ||||
\(438\) | 5.76739 | − | 14.4750i | 0.275576 | − | 0.691645i | ||||
\(439\) | 2.93715 | + | 7.37168i | 0.140182 | + | 0.351831i | 0.982260 | − | 0.187526i | \(-0.0600467\pi\) |
−0.842077 | + | 0.539357i | \(0.818667\pi\) | |||||||
\(440\) | 7.78873 | − | 7.37788i | 0.371313 | − | 0.351727i | ||||
\(441\) | 5.55919 | + | 0.604598i | 0.264723 | + | 0.0287904i | ||||
\(442\) | 1.19317 | + | 7.27804i | 0.0567535 | + | 0.346181i | ||||
\(443\) | 3.38241 | + | 20.6318i | 0.160703 | + | 0.980245i | 0.936860 | + | 0.349705i | \(0.113718\pi\) |
−0.776157 | + | 0.630540i | \(0.782834\pi\) | |||||||
\(444\) | −8.21373 | − | 0.893297i | −0.389806 | − | 0.0423940i | ||||
\(445\) | 3.98526 | − | 3.77504i | 0.188919 | − | 0.178954i | ||||
\(446\) | −9.84351 | − | 24.7053i | −0.466104 | − | 1.16983i | ||||
\(447\) | 1.13663 | − | 2.85272i | 0.0537607 | − | 0.134929i | ||||
\(448\) | 3.10259 | + | 2.93892i | 0.146583 | + | 0.138851i | ||||
\(449\) | 16.6475 | + | 19.5990i | 0.785644 | + | 0.924932i | 0.998641 | − | 0.0521212i | \(-0.0165982\pi\) |
−0.212997 | + | 0.977053i | \(0.568322\pi\) | |||||||
\(450\) | −2.92831 | − | 5.52338i | −0.138042 | − | 0.260375i | ||||
\(451\) | −1.42123 | + | 26.2130i | −0.0669230 | + | 1.23432i | ||||
\(452\) | −0.571408 | − | 2.05803i | −0.0268768 | − | 0.0968014i | ||||
\(453\) | −21.2986 | + | 2.31637i | −1.00070 | + | 0.108832i | ||||
\(454\) | 5.12153 | − | 6.02954i | 0.240365 | − | 0.282980i | ||||
\(455\) | −15.0975 | − | 3.32322i | −0.707783 | − | 0.155795i | ||||
\(456\) | −2.82430 | − | 2.14698i | −0.132260 | − | 0.100542i | ||||
\(457\) | −29.5864 | + | 9.96883i | −1.38400 | + | 0.466322i | −0.910147 | − | 0.414284i | \(-0.864032\pi\) |
−0.473848 | + | 0.880607i | \(0.657135\pi\) | |||||||
\(458\) | −1.48796 | − | 27.4439i | −0.0695280 | − | 1.28237i | ||||
\(459\) | 0.749185 | − | 0.450770i | 0.0349690 | − | 0.0210401i | ||||
\(460\) | 8.69708 | − | 12.8272i | 0.405503 | − | 0.598073i | ||||
\(461\) | −25.9676 | + | 19.7400i | −1.20943 | + | 0.919386i | −0.998312 | − | 0.0580747i | \(-0.981504\pi\) |
−0.211119 | + | 0.977460i | \(0.567711\pi\) | |||||||
\(462\) | 7.95965 | − | 3.68253i | 0.370316 | − | 0.171327i | ||||
\(463\) | 9.88101 | + | 5.94521i | 0.459210 | + | 0.276297i | 0.726305 | − | 0.687373i | \(-0.241236\pi\) |
−0.267095 | + | 0.963670i | \(0.586064\pi\) | |||||||
\(464\) | −9.23698 | + | 17.4228i | −0.428816 | + | 0.808833i | ||||
\(465\) | 16.0367 | − | 3.52994i | 0.743684 | − | 0.163697i | ||||
\(466\) | 45.4365 | + | 21.0211i | 2.10480 | + | 0.973786i | ||||
\(467\) | −5.53352 | − | 8.16133i | −0.256061 | − | 0.377661i | 0.677831 | − | 0.735218i | \(-0.262920\pi\) |
−0.933891 | + | 0.357557i | \(0.883610\pi\) | |||||||
\(468\) | −6.40061 | − | 2.15662i | −0.295868 | − | 0.0996896i | ||||
\(469\) | −0.593008 | + | 2.13582i | −0.0273826 | + | 0.0986231i | ||||
\(470\) | 8.26907 | − | 50.4391i | 0.381424 | − | 2.32658i | ||||
\(471\) | −5.97354 | −0.275246 | ||||||||
\(472\) | 3.83119 | + | 6.11841i | 0.176345 | + | 0.281623i | ||||
\(473\) | 36.2898 | 1.66861 | ||||||||
\(474\) | 4.20437 | − | 25.6455i | 0.193113 | − | 1.17794i | ||||
\(475\) | 3.37588 | − | 12.1588i | 0.154896 | − | 0.557885i | ||||
\(476\) | −1.47228 | − | 0.496070i | −0.0674820 | − | 0.0227373i | ||||
\(477\) | 5.68147 | + | 8.37954i | 0.260136 | + | 0.383673i | ||||
\(478\) | 3.02080 | + | 1.39757i | 0.138168 | + | 0.0639235i | ||||
\(479\) | 25.1716 | − | 5.54068i | 1.15012 | − | 0.253160i | 0.401308 | − | 0.915943i | \(-0.368556\pi\) |
0.748811 | + | 0.662783i | \(0.230625\pi\) | |||||||
\(480\) | 9.48188 | − | 17.8847i | 0.432787 | − | 0.816322i | ||||
\(481\) | 21.3237 | + | 12.8301i | 0.972279 | + | 0.585001i | ||||
\(482\) | −24.2262 | + | 11.2082i | −1.10347 | + | 0.510521i | ||||
\(483\) | −3.38472 | + | 2.57300i | −0.154010 | + | 0.117075i | ||||
\(484\) | −3.88174 | + | 5.72513i | −0.176443 | + | 0.260233i | ||||
\(485\) | 19.9525 | − | 12.0050i | 0.905998 | − | 0.545121i | ||||
\(486\) | 0.101248 | + | 1.86741i | 0.00459270 | + | 0.0847073i | ||||
\(487\) | −27.7445 | + | 9.34820i | −1.25722 | + | 0.423608i | −0.867552 | − | 0.497347i | \(-0.834308\pi\) |
−0.389671 | + | 0.920954i | \(0.627411\pi\) | |||||||
\(488\) | 8.72701 | + | 6.63410i | 0.395053 | + | 0.300312i | ||||
\(489\) | −0.178144 | − | 0.0392124i | −0.00805594 | − | 0.00177325i | ||||
\(490\) | −19.5552 | + | 23.0221i | −0.883413 | + | 1.04003i | ||||
\(491\) | −5.10061 | + | 0.554725i | −0.230187 | + | 0.0250344i | −0.222486 | − | 0.974936i | \(-0.571417\pi\) |
−0.00770174 | + | 0.999970i | \(0.502452\pi\) | |||||||
\(492\) | 2.66103 | + | 9.58418i | 0.119969 | + | 0.432088i | ||||
\(493\) | 0.196413 | − | 3.62263i | 0.00884600 | − | 0.163155i | ||||
\(494\) | −14.9148 | − | 28.1324i | −0.671050 | − | 1.26573i | ||||
\(495\) | −7.39009 | − | 8.70028i | −0.332160 | − | 0.391049i | ||||
\(496\) | 19.6151 | + | 18.5804i | 0.880745 | + | 0.834286i | ||||
\(497\) | 1.99780 | − | 5.01411i | 0.0896137 | − | 0.224913i | ||||
\(498\) | 10.6447 | + | 26.7163i | 0.477003 | + | 1.19719i | ||||
\(499\) | 24.8248 | − | 23.5153i | 1.11131 | − | 1.05269i | 0.113060 | − | 0.993588i | \(-0.463935\pi\) |
0.998252 | − | 0.0591025i | \(-0.0188239\pi\) | |||||||
\(500\) | −7.12561 | − | 0.774956i | −0.318667 | − | 0.0346571i | ||||
\(501\) | −2.39595 | − | 14.6146i | −0.107043 | − | 0.652934i | ||||
\(502\) | −3.33458 | − | 20.3401i | −0.148830 | − | 0.907822i | ||||
\(503\) | −4.65227 | − | 0.505965i | −0.207435 | − | 0.0225599i | 0.00381172 | − | 0.999993i | \(-0.498787\pi\) |
−0.211246 | + | 0.977433i | \(0.567752\pi\) | |||||||
\(504\) | −0.809630 | + | 0.766922i | −0.0360638 | + | 0.0341614i | ||||
\(505\) | −13.9532 | − | 35.0199i | −0.620909 | − | 1.55836i | ||||
\(506\) | 9.80217 | − | 24.6016i | 0.435760 | − | 1.09367i | ||||
\(507\) | 5.33161 | + | 5.05037i | 0.236785 | + | 0.224295i | ||||
\(508\) | −3.18599 | − | 3.75084i | −0.141356 | − | 0.166417i | ||||
\(509\) | −17.4886 | − | 32.9870i | −0.775169 | − | 1.46212i | −0.883712 | − | 0.468031i | \(-0.844963\pi\) |
0.108543 | − | 0.994092i | \(-0.465381\pi\) | |||||||
\(510\) | −0.255696 | + | 4.71603i | −0.0113224 | + | 0.208829i | ||||
\(511\) | −2.64493 | − | 9.52618i | −0.117005 | − | 0.421414i | ||||
\(512\) | 24.2312 | − | 2.63530i | 1.07088 | − | 0.116465i | ||||
\(513\) | −2.44379 | + | 2.87705i | −0.107896 | + | 0.127025i | ||||
\(514\) | 23.6143 | + | 5.19791i | 1.04158 | + | 0.229270i | ||||
\(515\) | 13.0487 | + | 9.91939i | 0.574996 | + | 0.437101i | ||||
\(516\) | 13.0305 | − | 4.39048i | 0.573634 | − | 0.193280i | ||||
\(517\) | −2.02456 | − | 37.3409i | −0.0890402 | − | 1.64225i | ||||
\(518\) | −10.4913 | + | 6.31240i | −0.460961 | + | 0.277351i | ||||
\(519\) | −6.67895 | + | 9.85071i | −0.293173 | + | 0.432398i | ||||
\(520\) | −9.74730 | + | 7.40971i | −0.427448 | + | 0.324937i | ||||
\(521\) | 10.5812 | − | 4.89536i | 0.463569 | − | 0.214470i | −0.174181 | − | 0.984714i | \(-0.555728\pi\) |
0.637749 | + | 0.770244i | \(0.279866\pi\) | |||||||
\(522\) | 6.64913 | + | 4.00065i | 0.291025 | + | 0.175104i | ||||
\(523\) | −7.69401 | + | 14.5124i | −0.336435 | + | 0.634584i | −0.992790 | − | 0.119868i | \(-0.961753\pi\) |
0.656354 | + | 0.754453i | \(0.272098\pi\) | |||||||
\(524\) | −22.6410 | + | 4.98366i | −0.989076 | + | 0.217712i | ||||
\(525\) | −3.60002 | − | 1.66555i | −0.157118 | − | 0.0726904i | ||||
\(526\) | −24.9956 | − | 36.8657i | −1.08986 | − | 1.60742i | ||||
\(527\) | −4.71044 | − | 1.58713i | −0.205190 | − | 0.0691366i | ||||
\(528\) | 5.02486 | − | 18.0979i | 0.218679 | − | 0.787610i | ||||
\(529\) | 1.64399 | − | 10.0279i | 0.0714776 | − | 0.435994i | ||||
\(530\) | −54.6873 | −2.37546 | ||||||||
\(531\) | 6.72131 | − | 3.71807i | 0.291680 | − | 0.161350i | ||||
\(532\) | 6.70752 | 0.290808 | ||||||||
\(533\) | 4.84699 | − | 29.5653i | 0.209947 | − | 1.28062i | ||||
\(534\) | 0.950849 | − | 3.42465i | 0.0411473 | − | 0.148199i | ||||
\(535\) | 35.0940 | + | 11.8246i | 1.51725 | + | 0.511220i | ||||
\(536\) | 0.985234 | + | 1.45311i | 0.0425556 | + | 0.0627649i | ||||
\(537\) | 4.76560 | + | 2.20480i | 0.205651 | + | 0.0951443i | ||||
\(538\) | −14.1000 | + | 3.10365i | −0.607895 | + | 0.133808i | ||||
\(539\) | −10.3519 | + | 19.5257i | −0.445886 | + | 0.841031i | ||||
\(540\) | −3.70613 | − | 2.22991i | −0.159487 | − | 0.0959599i | ||||
\(541\) | 35.4118 | − | 16.3832i | 1.52247 | − | 0.704370i | 0.532603 | − | 0.846365i | \(-0.321214\pi\) |
0.989867 | + | 0.141995i | \(0.0453517\pi\) | |||||||
\(542\) | −45.7553 | + | 34.7823i | −1.96536 | + | 1.49403i | ||||
\(543\) | 9.59393 | − | 14.1500i | 0.411715 | − | 0.607234i | ||||
\(544\) | −5.25051 | + | 3.15913i | −0.225114 | + | 0.135447i | ||||
\(545\) | 2.90540 | + | 53.5870i | 0.124454 | + | 2.29542i | ||||
\(546\) | −9.48524 | + | 3.19595i | −0.405931 | + | 0.136774i | ||||
\(547\) | 2.47782 | + | 1.88359i | 0.105944 | + | 0.0805364i | 0.656805 | − | 0.754061i | \(-0.271908\pi\) |
−0.550861 | + | 0.834597i | \(0.685701\pi\) | |||||||
\(548\) | −17.4890 | − | 3.84962i | −0.747092 | − | 0.164447i | ||||
\(549\) | 7.55124 | − | 8.89001i | 0.322279 | − | 0.379416i | ||||
\(550\) | 24.5623 | − | 2.67131i | 1.04734 | − | 0.113905i | ||||
\(551\) | 4.19035 | + | 15.0923i | 0.178515 | + | 0.642953i | ||||
\(552\) | −0.182310 | + | 3.36250i | −0.00775961 | + | 0.143118i | ||||
\(553\) | −7.72370 | − | 14.5684i | −0.328445 | − | 0.619513i | ||||
\(554\) | 17.1121 | + | 20.1460i | 0.727025 | + | 0.855920i | ||||
\(555\) | 11.5699 | + | 10.9596i | 0.491115 | + | 0.465208i | ||||
\(556\) | 5.02563 | − | 12.6134i | 0.213134 | − | 0.534927i | ||||
\(557\) | −2.56271 | − | 6.43191i | −0.108585 | − | 0.272529i | 0.864636 | − | 0.502399i | \(-0.167549\pi\) |
−0.973221 | + | 0.229870i | \(0.926170\pi\) | |||||||
\(558\) | 7.71866 | − | 7.31150i | 0.326757 | − | 0.309521i | ||||
\(559\) | −41.1736 | − | 4.47790i | −1.74146 | − | 0.189395i | ||||
\(560\) | −2.63523 | − | 16.0742i | −0.111359 | − | 0.679258i | ||||
\(561\) | 0.559036 | + | 3.40997i | 0.0236025 | + | 0.143969i | ||||
\(562\) | 47.2967 | + | 5.14383i | 1.99509 | + | 0.216979i | ||||
\(563\) | 19.9925 | − | 18.9379i | 0.842584 | − | 0.798138i | −0.138775 | − | 0.990324i | \(-0.544316\pi\) |
0.981358 | + | 0.192186i | \(0.0615577\pi\) | |||||||
\(564\) | −5.24460 | − | 13.1629i | −0.220837 | − | 0.554260i | ||||
\(565\) | −1.52490 | + | 3.82722i | −0.0641532 | + | 0.161012i | ||||
\(566\) | −15.6797 | − | 14.8526i | −0.659065 | − | 0.624300i | ||||
\(567\) | 0.768191 | + | 0.904385i | 0.0322610 | + | 0.0379806i | ||||
\(568\) | −2.00242 | − | 3.77696i | −0.0840195 | − | 0.158478i | ||||
\(569\) | 1.00837 | − | 18.5984i | 0.0422733 | − | 0.779684i | −0.898152 | − | 0.439685i | \(-0.855090\pi\) |
0.940426 | − | 0.340000i | \(-0.110427\pi\) | |||||||
\(570\) | −5.45512 | − | 19.6475i | −0.228490 | − | 0.822945i | ||||
\(571\) | 12.2363 | − | 1.33078i | 0.512074 | − | 0.0556914i | 0.151565 | − | 0.988447i | \(-0.451569\pi\) |
0.360509 | + | 0.932756i | \(0.382603\pi\) | |||||||
\(572\) | 17.2808 | − | 20.3446i | 0.722547 | − | 0.850648i | ||||
\(573\) | 20.4825 | + | 4.50853i | 0.855667 | + | 0.188347i | ||||
\(574\) | 11.7347 | + | 8.92048i | 0.489796 | + | 0.372334i | ||||
\(575\) | −11.3506 | + | 3.82446i | −0.473353 | + | 0.159491i | ||||
\(576\) | −0.194981 | − | 3.59622i | −0.00812423 | − | 0.149843i | ||||
\(577\) | 20.4141 | − | 12.2828i | 0.849851 | − | 0.511338i | −0.0227675 | − | 0.999741i | \(-0.507248\pi\) |
0.872619 | + | 0.488402i | \(0.162420\pi\) | |||||||
\(578\) | −17.0392 | + | 25.1310i | −0.708739 | + | 1.04531i | ||||
\(579\) | −7.85441 | + | 5.97077i | −0.326418 | + | 0.248137i | ||||
\(580\) | −16.2883 | + | 7.53576i | −0.676334 | + | 0.312905i | ||||
\(581\) | 15.6354 | + | 9.40752i | 0.648667 | + | 0.390290i | ||||
\(582\) | 7.06210 | − | 13.3205i | 0.292733 | − | 0.552154i | ||||
\(583\) | −39.0758 | + | 8.60123i | −1.61835 | + | 0.356226i | ||||
\(584\) | −7.10671 | − | 3.28791i | −0.294078 | − | 0.136055i | ||||
\(585\) | 7.31108 | + | 10.7830i | 0.302276 | + | 0.445824i | ||||
\(586\) | −19.3039 | − | 6.50424i | −0.797437 | − | 0.268688i | ||||
\(587\) | 3.65289 | − | 13.1565i | 0.150771 | − | 0.543028i | −0.849119 | − | 0.528201i | \(-0.822867\pi\) |
0.999890 | − | 0.0148263i | \(-0.00471953\pi\) | |||||||
\(588\) | −1.35472 | + | 8.26344i | −0.0558678 | + | 0.340779i | ||||
\(589\) | 21.4601 | 0.884249 | ||||||||
\(590\) | −3.75156 | + | 41.3216i | −0.154449 | + | 1.70118i | ||||
\(591\) | −14.3976 | −0.592239 | ||||||||
\(592\) | −4.24222 | + | 25.8764i | −0.174354 | + | 1.06351i | ||||
\(593\) | −6.78804 | + | 24.4483i | −0.278751 | + | 1.00397i | 0.683083 | + | 0.730340i | \(0.260639\pi\) |
−0.961835 | + | 0.273631i | \(0.911775\pi\) | |||||||
\(594\) | −7.00414 | − | 2.35997i | −0.287383 | − | 0.0968307i | ||||
\(595\) | 1.68171 | + | 2.48034i | 0.0689434 | + | 0.101684i | ||||
\(596\) | 4.17343 | + | 1.93083i | 0.170950 | + | 0.0790900i | ||||
\(597\) | −2.23725 | + | 0.492457i | −0.0915647 | + | 0.0201549i | ||||
\(598\) | −14.1570 | + | 26.7029i | −0.578923 | + | 1.09196i | ||||
\(599\) | −5.90112 | − | 3.55058i | −0.241113 | − | 0.145073i | 0.389869 | − | 0.920870i | \(-0.372520\pi\) |
−0.630982 | + | 0.775797i | \(0.717348\pi\) | |||||||
\(600\) | −2.85132 | + | 1.31916i | −0.116405 | + | 0.0538545i | ||||
\(601\) | 34.5482 | − | 26.2629i | 1.40925 | − | 1.07129i | 0.422984 | − | 0.906137i | \(-0.360983\pi\) |
0.986269 | − | 0.165149i | \(-0.0528104\pi\) | |||||||
\(602\) | 11.4352 | − | 16.8657i | 0.466066 | − | 0.687395i | ||||
\(603\) | 1.60064 | − | 0.963072i | 0.0651831 | − | 0.0392193i | ||||
\(604\) | −1.73688 | − | 32.0349i | −0.0706726 | − | 1.30348i | ||||
\(605\) | 12.6436 | − | 4.26011i | 0.514034 | − | 0.173198i | ||||
\(606\) | −19.4309 | − | 14.7710i | −0.789326 | − | 0.600030i | ||||
\(607\) | −37.6243 | − | 8.28173i | −1.52712 | − | 0.336145i | −0.629531 | − | 0.776975i | \(-0.716753\pi\) |
−0.897591 | + | 0.440830i | \(0.854684\pi\) | |||||||
\(608\) | 17.1268 | − | 20.1633i | 0.694584 | − | 0.817728i | ||||
\(609\) | 4.89477 | − | 0.532339i | 0.198346 | − | 0.0215715i | ||||
\(610\) | 16.8561 | + | 60.7103i | 0.682485 | + | 2.45809i | ||||
\(611\) | −2.31057 | + | 42.6159i | −0.0934756 | + | 1.72406i | ||||
\(612\) | 0.613283 | + | 1.15677i | 0.0247905 | + | 0.0467598i | ||||
\(613\) | −7.44202 | − | 8.76142i | −0.300580 | − | 0.353870i | 0.591050 | − | 0.806635i | \(-0.298714\pi\) |
−0.891630 | + | 0.452765i | \(0.850438\pi\) | |||||||
\(614\) | −2.13171 | − | 2.01927i | −0.0860290 | − | 0.0814910i | ||||
\(615\) | 7.10144 | − | 17.8233i | 0.286358 | − | 0.718704i | ||||
\(616\) | −1.63134 | − | 4.09436i | −0.0657287 | − | 0.164967i | ||||
\(617\) | −16.2580 | + | 15.4004i | −0.654523 | + | 0.619998i | −0.941128 | − | 0.338052i | \(-0.890232\pi\) |
0.286604 | + | 0.958049i | \(0.407474\pi\) | |||||||
\(618\) | 10.5504 | + | 1.14743i | 0.424401 | + | 0.0461564i | ||||
\(619\) | −4.39859 | − | 26.8302i | −0.176794 | − | 1.07840i | −0.914891 | − | 0.403702i | \(-0.867723\pi\) |
0.738096 | − | 0.674695i | \(-0.235725\pi\) | |||||||
\(620\) | 3.97809 | + | 24.2653i | 0.159764 | + | 0.974516i | ||||
\(621\) | 3.56205 | + | 0.387396i | 0.142940 | + | 0.0155457i | ||||
\(622\) | −34.7800 | + | 32.9454i | −1.39455 | + | 1.32099i | ||||
\(623\) | −0.834709 | − | 2.09496i | −0.0334419 | − | 0.0839329i | ||||
\(624\) | −7.93425 | + | 19.9135i | −0.317624 | + | 0.797176i | ||||
\(625\) | 22.1716 | + | 21.0021i | 0.886865 | + | 0.840083i | ||||
\(626\) | −21.2049 | − | 24.9644i | −0.847520 | − | 0.997777i | ||||
\(627\) | −6.98802 | − | 13.1808i | −0.279075 | − | 0.526391i | ||||
\(628\) | 0.484280 | − | 8.93202i | 0.0193249 | − | 0.356426i | ||||
\(629\) | −1.29059 | − | 4.64829i | −0.0514593 | − | 0.185339i | ||||
\(630\) | −6.37215 | + | 0.693013i | −0.253873 | + | 0.0276103i | ||||
\(631\) | −13.2758 | + | 15.6295i | −0.528501 | + | 0.622200i | −0.960029 | − | 0.279900i | \(-0.909699\pi\) |
0.431528 | + | 0.902100i | \(0.357975\pi\) | |||||||
\(632\) | −12.7546 | − | 2.80750i | −0.507351 | − | 0.111676i | ||||
\(633\) | −14.8593 | − | 11.2958i | −0.590605 | − | 0.448967i | ||||
\(634\) | 34.0870 | − | 11.4852i | 1.35377 | − | 0.456137i | ||||
\(635\) | 0.513917 | + | 9.47864i | 0.0203942 | + | 0.376148i | ||||
\(636\) | −12.9902 | + | 7.81596i | −0.515096 | + | 0.309923i | ||||
\(637\) | 14.1543 | − | 20.8761i | 0.560815 | − | 0.827140i | ||||
\(638\) | −24.4146 | + | 18.5595i | −0.966582 | + | 0.734777i | ||||
\(639\) | −4.12824 | + | 1.90993i | −0.163311 | + | 0.0755556i | ||||
\(640\) | −18.0207 | − | 10.8427i | −0.712330 | − | 0.428595i | ||||
\(641\) | 4.19457 | − | 7.91179i | 0.165675 | − | 0.312497i | −0.786748 | − | 0.617274i | \(-0.788237\pi\) |
0.952424 | + | 0.304777i | \(0.0985819\pi\) | |||||||
\(642\) | 23.4169 | − | 5.15445i | 0.924191 | − | 0.203430i | ||||
\(643\) | 7.46527 | + | 3.45380i | 0.294401 | + | 0.136205i | 0.561530 | − | 0.827456i | \(-0.310213\pi\) |
−0.267129 | + | 0.963661i | \(0.586075\pi\) | |||||||
\(644\) | −3.57291 | − | 5.26965i | −0.140792 | − | 0.207653i | ||||
\(645\) | −25.1340 | − | 8.46864i | −0.989651 | − | 0.333452i | ||||
\(646\) | −1.65131 | + | 5.94747i | −0.0649698 | + | 0.234000i | ||||
\(647\) | 2.86088 | − | 17.4506i | 0.112473 | − | 0.686053i | −0.869053 | − | 0.494720i | \(-0.835271\pi\) |
0.981525 | − | 0.191333i | \(-0.0612810\pi\) | |||||||
\(648\) | 0.939825 | 0.0369198 | ||||||||
\(649\) | 3.81846 | + | 30.1156i | 0.149888 | + | 1.18214i | ||||
\(650\) | −28.1974 | −1.10599 | ||||||||
\(651\) | 1.09136 | − | 6.65700i | 0.0427737 | − | 0.260908i | ||||
\(652\) | 0.0730752 | − | 0.263193i | 0.00286185 | − | 0.0103074i | ||||
\(653\) | 3.63705 | + | 1.22547i | 0.142329 | + | 0.0479562i | 0.389564 | − | 0.920999i | \(-0.372626\pi\) |
−0.247236 | + | 0.968955i | \(0.579522\pi\) | |||||||
\(654\) | 19.4995 | + | 28.7596i | 0.762492 | + | 1.12459i | ||||
\(655\) | 40.5839 | + | 18.7761i | 1.58574 | + | 0.733643i | ||||
\(656\) | 30.8302 | − | 6.78624i | 1.20372 | − | 0.264958i | ||||
\(657\) | −3.90268 | + | 7.36124i | −0.152258 | + | 0.287190i | ||||
\(658\) | −17.9922 | − | 10.8255i | −0.701408 | − | 0.422023i | ||||
\(659\) | 15.5712 | − | 7.20400i | 0.606567 | − | 0.280628i | −0.0924674 | − | 0.995716i | \(-0.529475\pi\) |
0.699035 | + | 0.715088i | \(0.253613\pi\) | |||||||
\(660\) | 13.6083 | − | 10.3448i | 0.529704 | − | 0.402670i | ||||
\(661\) | −21.6587 | + | 31.9442i | −0.842425 | + | 1.24248i | 0.125713 | + | 0.992067i | \(0.459878\pi\) |
−0.968138 | + | 0.250417i | \(0.919432\pi\) | |||||||
\(662\) | −3.92977 | + | 2.36447i | −0.152735 | + | 0.0918976i | ||||
\(663\) | −0.213504 | − | 3.93786i | −0.00829183 | − | 0.152934i | ||||
\(664\) | 13.6959 | − | 4.61470i | 0.531505 | − | 0.179085i | ||||
\(665\) | −10.2998 | − | 7.82968i | −0.399408 | − | 0.303622i | ||||
\(666\) | 10.0772 | + | 2.21816i | 0.390484 | + | 0.0859521i | ||||
\(667\) | 9.62491 | − | 11.3313i | 0.372678 | − | 0.438751i | ||||
\(668\) | 22.0470 | − | 2.39776i | 0.853024 | − | 0.0927719i | ||||
\(669\) | 3.80434 | + | 13.7020i | 0.147084 | + | 0.529750i | ||||
\(670\) | −0.546296 | + | 10.0758i | −0.0211053 | + | 0.389263i | ||||
\(671\) | 21.5928 | + | 40.7283i | 0.833580 | + | 1.57230i | ||||
\(672\) | −5.38372 | − | 6.33820i | −0.207681 | − | 0.244501i | ||||
\(673\) | −21.5786 | − | 20.4404i | −0.831795 | − | 0.787918i | 0.147775 | − | 0.989021i | \(-0.452789\pi\) |
−0.979570 | + | 0.201103i | \(0.935547\pi\) | |||||||
\(674\) | −2.96588 | + | 7.44379i | −0.114241 | + | 0.286724i | ||||
\(675\) | 1.23732 | + | 3.10543i | 0.0476243 | + | 0.119528i | ||||
\(676\) | −7.98387 | + | 7.56273i | −0.307072 | + | 0.290874i | ||||
\(677\) | 25.7297 | + | 2.79828i | 0.988874 | + | 0.107547i | 0.588235 | − | 0.808690i | \(-0.299823\pi\) |
0.400638 | + | 0.916236i | \(0.368788\pi\) | |||||||
\(678\) | 0.431547 | + | 2.63232i | 0.0165735 | + | 0.101094i | ||||
\(679\) | −1.54764 | − | 9.44016i | −0.0593928 | − | 0.362280i | ||||
\(680\) | 2.35956 | + | 0.256618i | 0.0904851 | + | 0.00984084i | ||||
\(681\) | −3.07110 | + | 2.90910i | −0.117685 | + | 0.111477i | ||||
\(682\) | 15.5525 | + | 39.0339i | 0.595537 | + | 1.49468i | ||||
\(683\) | 12.9974 | − | 32.6211i | 0.497333 | − | 1.24821i | −0.439440 | − | 0.898272i | \(-0.644823\pi\) |
0.936772 | − | 0.349939i | \(-0.113798\pi\) | |||||||
\(684\) | −4.10383 | − | 3.88736i | −0.156914 | − | 0.148637i | ||||
\(685\) | 22.3617 | + | 26.3262i | 0.854395 | + | 1.00587i | ||||
\(686\) | 13.0888 | + | 24.6881i | 0.499734 | + | 0.942598i | ||||
\(687\) | −0.795639 | + | 14.6747i | −0.0303555 | + | 0.559875i | ||||
\(688\) | −11.6748 | − | 42.0489i | −0.445098 | − | 1.60310i | ||||
\(689\) | 45.3958 | − | 4.93710i | 1.72944 | − | 0.188088i | ||||
\(690\) | −12.5300 | + | 14.7514i | −0.477008 | + | 0.561577i | ||||
\(691\) | −17.1678 | − | 3.77892i | −0.653094 | − | 0.143757i | −0.123949 | − | 0.992289i | \(-0.539556\pi\) |
−0.529145 | + | 0.848532i | \(0.677487\pi\) | |||||||
\(692\) | −14.1879 | − | 10.7854i | −0.539345 | − | 0.409999i | ||||
\(693\) | −4.44410 | + | 1.49739i | −0.168818 | + | 0.0568813i | ||||
\(694\) | −0.467424 | − | 8.62113i | −0.0177432 | − | 0.327254i | ||||
\(695\) | −22.4407 | + | 13.5021i | −0.851225 | + | 0.512165i | ||||
\(696\) | 2.18844 | − | 3.22771i | 0.0829526 | − | 0.122346i | ||||
\(697\) | −4.62349 | + | 3.51469i | −0.175127 | + | 0.133128i | ||||
\(698\) | −4.15822 | + | 1.92380i | −0.157391 | + | 0.0728167i | ||||
\(699\) | −22.9379 | − | 13.8013i | −0.867592 | − | 0.522013i | ||||
\(700\) | 2.78229 | − | 5.24796i | 0.105161 | − | 0.198354i | ||||
\(701\) | 14.5880 | − | 3.21106i | 0.550980 | − | 0.121280i | 0.0692499 | − | 0.997599i | \(-0.477939\pi\) |
0.481731 | + | 0.876319i | \(0.340008\pi\) | |||||||
\(702\) | 7.65554 | + | 3.54183i | 0.288940 | + | 0.133678i | ||||
\(703\) | 11.6882 | + | 17.2388i | 0.440828 | + | 0.650172i | ||||
\(704\) | 13.4885 | + | 4.54479i | 0.508365 | + | 0.171288i | ||||
\(705\) | −7.31172 | + | 26.3344i | −0.275375 | + | 0.991813i | ||||
\(706\) | 1.93878 | − | 11.8260i | 0.0729669 | − | 0.445078i | ||||
\(707\) | −15.4867 | −0.582437 | ||||||||
\(708\) | 5.01459 | + | 10.3516i | 0.188460 | + | 0.389035i | ||||
\(709\) | 2.80753 | 0.105439 | 0.0527195 | − | 0.998609i | \(-0.483211\pi\) | ||||
0.0527195 | + | 0.998609i | \(0.483211\pi\) | |||||||
\(710\) | 3.97509 | − | 24.2469i | 0.149182 | − | 0.909972i | ||||
\(711\) | −3.71762 | + | 13.3896i | −0.139421 | + | 0.502151i | ||||
\(712\) | −1.69263 | − | 0.570313i | −0.0634340 | − | 0.0213734i | ||||
\(713\) | −11.4312 | − | 16.8598i | −0.428103 | − | 0.631404i | ||||
\(714\) | 1.76094 | + | 0.814700i | 0.0659017 | + | 0.0304894i | ||||
\(715\) | −50.2839 | + | 11.0683i | −1.88051 | + | 0.413931i | ||||
\(716\) | −3.68312 | + | 6.94709i | −0.137644 | + | 0.259625i | ||||
\(717\) | −1.52501 | − | 0.917566i | −0.0569524 | − | 0.0342671i | ||||
\(718\) | −41.8050 | + | 19.3411i | −1.56015 | + | 0.721802i | ||||
\(719\) | 18.4061 | − | 13.9919i | 0.686431 | − | 0.521811i | −0.202829 | − | 0.979214i | \(-0.565013\pi\) |
0.889260 | + | 0.457403i | \(0.151220\pi\) | |||||||
\(720\) | −7.70353 | + | 11.3619i | −0.287094 | + | 0.423432i | ||||
\(721\) | 5.76981 | − | 3.47158i | 0.214879 | − | 0.129288i | ||||
\(722\) | 0.480973 | + | 8.87102i | 0.0179000 | + | 0.330145i | ||||
\(723\) | 13.5262 | − | 4.55750i | 0.503045 | − | 0.169495i | ||||
\(724\) | 20.3802 | + | 15.4926i | 0.757423 | + | 0.575778i | ||||
\(725\) | 13.5464 | + | 2.98178i | 0.503099 | + | 0.110740i | ||||
\(726\) | 5.59246 | − | 6.58395i | 0.207556 | − | 0.244353i | ||||
\(727\) | −12.7587 | + | 1.38759i | −0.473194 | + | 0.0514630i | −0.341610 | − | 0.939842i | \(-0.610972\pi\) |
−0.131585 | + | 0.991305i | \(0.542007\pi\) | |||||||
\(728\) | 1.34567 | + | 4.84667i | 0.0498739 | + | 0.179630i | ||||
\(729\) | 0.0541389 | − | 0.998533i | 0.00200514 | − | 0.0369827i | ||||
\(730\) | −21.0813 | − | 39.7635i | −0.780253 | − | 1.47171i | ||||
\(731\) | 5.19756 | + | 6.11904i | 0.192239 | + | 0.226321i | ||||
\(732\) | 12.6807 | + | 12.0118i | 0.468693 | + | 0.443970i | ||||
\(733\) | 3.42572 | − | 8.59791i | 0.126532 | − | 0.317571i | −0.852040 | − | 0.523477i | \(-0.824635\pi\) |
0.978572 | + | 0.205906i | \(0.0660140\pi\) | |||||||
\(734\) | 22.0066 | + | 55.2324i | 0.812278 | + | 2.03866i | ||||
\(735\) | 11.7262 | − | 11.1076i | 0.432526 | − | 0.409710i | ||||
\(736\) | −24.9639 | − | 2.71499i | −0.920182 | − | 0.100076i | ||||
\(737\) | 1.19438 | + | 7.28542i | 0.0439957 | + | 0.268362i | ||||
\(738\) | −2.00970 | − | 12.2586i | −0.0739782 | − | 0.451247i | ||||
\(739\) | 0.746198 | + | 0.0811539i | 0.0274493 | + | 0.00298530i | 0.121833 | − | 0.992551i | \(-0.461123\pi\) |
−0.0943840 | + | 0.995536i | \(0.530088\pi\) | |||||||
\(740\) | −17.3255 | + | 16.4115i | −0.636896 | + | 0.603300i | ||||
\(741\) | 6.30204 | + | 15.8169i | 0.231511 | + | 0.581049i | ||||
\(742\) | −8.31570 | + | 20.8708i | −0.305279 | + | 0.766193i | ||||
\(743\) | −17.9691 | − | 17.0212i | −0.659222 | − | 0.624448i | 0.283126 | − | 0.959083i | \(-0.408629\pi\) |
−0.942348 | + | 0.334634i | \(0.891387\pi\) | |||||||
\(744\) | −3.45893 | − | 4.07217i | −0.126811 | − | 0.149293i | ||||
\(745\) | −4.15467 | − | 7.83654i | −0.152215 | − | 0.287109i | ||||
\(746\) | 1.17466 | − | 21.6654i | 0.0430074 | − | 0.793225i | ||||
\(747\) | −4.11401 | − | 14.8173i | −0.150524 | − | 0.542137i | ||||
\(748\) | −5.14413 | + | 0.559457i | −0.188088 | + | 0.0204558i | ||||
\(749\) | 9.84909 | − | 11.5952i | 0.359878 | − | 0.423681i | ||||
\(750\) | 8.74223 | + | 1.92431i | 0.319221 | + | 0.0702659i | ||||
\(751\) | −18.8673 | − | 14.3426i | −0.688478 | − | 0.523368i | 0.201432 | − | 0.979502i | \(-0.435440\pi\) |
−0.889911 | + | 0.456135i | \(0.849233\pi\) | |||||||
\(752\) | −42.6155 | + | 14.3588i | −1.55403 | + | 0.523613i | ||||
\(753\) | 0.596684 | + | 11.0052i | 0.0217444 | + | 0.401052i | ||||
\(754\) | 29.9904 | − | 18.0446i | 1.09218 | − | 0.657146i | ||||
\(755\) | −34.7272 | + | 51.2188i | −1.26385 | + | 1.86404i | ||||
\(756\) | −1.41457 | + | 1.07533i | −0.0514475 | + | 0.0391094i | ||||
\(757\) | 4.90510 | − | 2.26934i | 0.178279 | − | 0.0824806i | −0.328719 | − | 0.944428i | \(-0.606617\pi\) |
0.506998 | + | 0.861947i | \(0.330755\pi\) | |||||||
\(758\) | 20.7259 | + | 12.4704i | 0.752799 | + | 0.452944i | ||||
\(759\) | −6.63295 | + | 12.5111i | −0.240761 | + | 0.454123i | ||||
\(760\) | −10.0076 | + | 2.20284i | −0.363014 | + | 0.0799055i | ||||
\(761\) | −3.70010 | − | 1.71185i | −0.134128 | − | 0.0620544i | 0.351677 | − | 0.936121i | \(-0.385612\pi\) |
−0.485805 | + | 0.874067i | \(0.661474\pi\) | |||||||
\(762\) | 3.44914 | + | 5.08710i | 0.124949 | + | 0.184286i | ||||
\(763\) | 20.8927 | + | 7.03958i | 0.756368 | + | 0.254850i | ||||
\(764\) | −8.40197 | + | 30.2612i | −0.303973 | + | 1.09481i | ||||
\(765\) | 0.408571 | − | 2.49218i | 0.0147719 | − | 0.0901048i | ||||
\(766\) | 10.5581 | 0.381480 | ||||||||
\(767\) | −0.616293 | − | 34.6397i | −0.0222531 | − | 1.25077i | ||||
\(768\) | −20.8200 | −0.751278 | ||||||||
\(769\) | −6.18583 | + | 37.7319i | −0.223067 | + | 1.36065i | 0.603300 | + | 0.797515i | \(0.293852\pi\) |
−0.826366 | + | 0.563133i | \(0.809596\pi\) | |||||||
\(770\) | 6.77701 | − | 24.4086i | 0.244226 | − | 0.879624i | ||||
\(771\) | −12.2525 | − | 4.12833i | −0.441261 | − | 0.148678i | ||||
\(772\) | −8.29111 | − | 12.2285i | −0.298404 | − | 0.440112i | ||||
\(773\) | 1.52185 | + | 0.704084i | 0.0547372 | + | 0.0253241i | 0.447067 | − | 0.894501i | \(-0.352469\pi\) |
−0.392330 | + | 0.919825i | \(0.628331\pi\) | |||||||
\(774\) | −16.7709 | + | 3.69156i | −0.602819 | + | 0.132691i | ||||
\(775\) | 8.90170 | − | 16.7904i | 0.319758 | − | 0.603128i | ||||
\(776\) | −6.49214 | − | 3.90619i | −0.233054 | − | 0.140224i | ||||
\(777\) | 5.94192 | − | 2.74903i | 0.213165 | − | 0.0986207i | ||||
\(778\) | 16.4522 | − | 12.5066i | 0.589840 | − | 0.448385i | ||||
\(779\) | 14.0713 | − | 20.7536i | 0.504156 | − | 0.743574i | ||||
\(780\) | −16.7162 | + | 10.0578i | −0.598536 | + | 0.360127i | ||||
\(781\) | −0.973242 | − | 17.9504i | −0.0348254 | − | 0.642316i | ||||
\(782\) | 5.55213 | − | 1.87073i | 0.198544 | − | 0.0668972i | ||||
\(783\) | −3.30327 | − | 2.51108i | −0.118049 | − | 0.0897387i | ||||
\(784\) | 25.9547 | + | 5.71306i | 0.926953 | + | 0.204038i | ||||
\(785\) | −11.1700 | + | 13.1503i | −0.398674 | + | 0.469355i | ||||
\(786\) | 28.7831 | − | 3.13035i | 1.02666 | − | 0.111656i | ||||
\(787\) | −9.96886 | − | 35.9046i | −0.355352 | − | 1.27986i | −0.898035 | − | 0.439923i | \(-0.855006\pi\) |
0.542684 | − | 0.839937i | \(-0.317408\pi\) | |||||||
\(788\) | 1.16723 | − | 21.5282i | 0.0415807 | − | 0.766911i | ||||
\(789\) | 11.1559 | + | 21.0422i | 0.397160 | + | 0.749123i | ||||
\(790\) | −48.5950 | − | 57.2105i | −1.72893 | − | 2.03546i | ||||
\(791\) | 1.22874 | + | 1.16393i | 0.0436891 | + | 0.0413845i | ||||
\(792\) | −1.37480 | + | 3.45049i | −0.0488514 | + | 0.122608i | ||||
\(793\) | −19.4731 | − | 48.8738i | −0.691511 | − | 1.73556i | ||||
\(794\) | −45.7412 | + | 43.3284i | −1.62330 | + | 1.53767i | ||||
\(795\) | 29.0708 | + | 3.16164i | 1.03103 | + | 0.112132i | ||||
\(796\) | −0.554977 | − | 3.38521i | −0.0196706 | − | 0.119986i | ||||
\(797\) | −3.59183 | − | 21.9092i | −0.127229 | − | 0.776063i | −0.970950 | − | 0.239281i | \(-0.923088\pi\) |
0.843721 | − | 0.536782i | \(-0.180360\pi\) | |||||||
\(798\) | −8.32779 | − | 0.905701i | −0.294800 | − | 0.0320615i | ||||
\(799\) | 6.00631 | − | 5.68948i | 0.212488 | − | 0.201279i | ||||
\(800\) | −8.67147 | − | 21.7638i | −0.306583 | − | 0.769465i | ||||
\(801\) | −0.703444 | + | 1.76551i | −0.0248550 | + | 0.0623813i | ||||
\(802\) | −52.0586 | − | 49.3125i | −1.83825 | − | 1.74129i | ||||
\(803\) | −21.3172 | − | 25.0966i | −0.752269 | − | 0.885640i | ||||
\(804\) | 1.31028 | + | 2.47145i | 0.0462101 | + | 0.0871615i | ||||
\(805\) | −0.664853 | + | 12.2625i | −0.0234330 | + | 0.432196i | ||||
\(806\) | −12.8291 | − | 46.2061i | −0.451884 | − | 1.62754i | ||||
\(807\) | 7.67475 | − | 0.834680i | 0.270164 | − | 0.0293821i | ||||
\(808\) | −7.94077 | + | 9.34860i | −0.279355 | + | 0.328883i | ||||
\(809\) | −21.9054 | − | 4.82174i | −0.770153 | − | 0.169523i | −0.187522 | − | 0.982260i | \(-0.560046\pi\) |
−0.582631 | + | 0.812737i | \(0.697977\pi\) | |||||||
\(810\) | 4.30029 | + | 3.26899i | 0.151097 | + | 0.114861i | ||||
\(811\) | 7.44156 | − | 2.50735i | 0.261308 | − | 0.0880450i | −0.185598 | − | 0.982626i | \(-0.559422\pi\) |
0.446906 | + | 0.894581i | \(0.352526\pi\) | |||||||
\(812\) | 0.399163 | + | 7.36214i | 0.0140079 | + | 0.258360i | ||||
\(813\) | 26.3336 | − | 15.8444i | 0.923559 | − | 0.555687i | ||||
\(814\) | −22.8850 | + | 33.7529i | −0.802119 | + | 1.18304i | ||||
\(815\) | −0.419436 | + | 0.318847i | −0.0146922 | + | 0.0111687i | ||||
\(816\) | 3.77128 | − | 1.74478i | 0.132021 | − | 0.0610795i | ||||
\(817\) | −29.7005 | − | 17.8702i | −1.03909 | − | 0.625200i | ||||
\(818\) | 17.7902 | − | 33.5558i | 0.622019 | − | 1.17325i | ||||
\(819\) | 5.22695 | − | 1.15054i | 0.182644 | − | 0.0402031i | ||||
\(820\) | 26.0748 | + | 12.0635i | 0.910571 | + | 0.421275i | ||||
\(821\) | −1.85474 | − | 2.73554i | −0.0647308 | − | 0.0954709i | 0.793946 | − | 0.607988i | \(-0.208023\pi\) |
−0.858677 | + | 0.512518i | \(0.828713\pi\) | |||||||
\(822\) | 21.1938 | + | 7.14103i | 0.739219 | + | 0.249072i | ||||
\(823\) | 8.19430 | − | 29.5132i | 0.285635 | − | 1.02877i | −0.671945 | − | 0.740601i | \(-0.734541\pi\) |
0.957581 | − | 0.288165i | \(-0.0930452\pi\) | |||||||
\(824\) | 0.862829 | − | 5.26302i | 0.0300581 | − | 0.183346i | ||||
\(825\) | −13.2113 | −0.459958 | ||||||||
\(826\) | 15.1995 | + | 7.71507i | 0.528858 | + | 0.268442i | ||||
\(827\) | 4.53150 | 0.157576 | 0.0787879 | − | 0.996891i | \(-0.474895\pi\) | ||||
0.0787879 | + | 0.996891i | \(0.474895\pi\) | |||||||
\(828\) | −0.868038 | + | 5.29480i | −0.0301664 | + | 0.184007i | ||||
\(829\) | −14.3774 | + | 51.7828i | −0.499348 | + | 1.79849i | 0.0964280 | + | 0.995340i | \(0.469258\pi\) |
−0.595776 | + | 0.803150i | \(0.703156\pi\) | |||||||
\(830\) | 78.7187 | + | 26.5234i | 2.73237 | + | 0.920642i | ||||
\(831\) | −7.93181 | − | 11.6985i | −0.275151 | − | 0.405818i | ||||
\(832\) | −14.7429 | − | 6.82080i | −0.511119 | − | 0.236469i | ||||
\(833\) | −4.77498 | + | 1.05105i | −0.165443 | + | 0.0364168i | ||||
\(834\) | −7.94278 | + | 14.9817i | −0.275036 | + | 0.518773i | ||||
\(835\) | −36.6533 | − | 22.0536i | −1.26844 | − | 0.763195i | ||||
\(836\) | 20.2753 | − | 9.38036i | 0.701236 | − | 0.324426i | ||||
\(837\) | −4.52580 | + | 3.44043i | −0.156435 | + | 0.118918i | ||||
\(838\) | 7.58444 | − | 11.1862i | 0.262000 | − | 0.386421i | ||||
\(839\) | 22.3234 | − | 13.4315i | 0.770688 | − | 0.463708i | −0.0751335 | − | 0.997173i | \(-0.523938\pi\) |
0.845822 | + | 0.533466i | \(0.179111\pi\) | |||||||
\(840\) | 0.174389 | + | 3.21642i | 0.00601700 | + | 0.110977i | ||||
\(841\) | 11.1661 | − | 3.76230i | 0.385038 | − | 0.129734i | ||||
\(842\) | 56.5872 | + | 43.0165i | 1.95012 | + | 1.48245i | ||||
\(843\) | −24.8447 | − | 5.46873i | −0.855697 | − | 0.188353i | ||||
\(844\) | 18.0948 | − | 21.3029i | 0.622849 | − | 0.733275i | ||||
\(845\) | 21.0877 | − | 2.29342i | 0.725437 | − | 0.0788961i | ||||
\(846\) | 4.73412 | + | 17.0507i | 0.162762 | + | 0.586217i | ||||
\(847\) | 0.296742 | − | 5.47308i | 0.0101962 | − | 0.188057i | ||||
\(848\) | 22.5373 | + | 42.5099i | 0.773935 | + | 1.45980i | ||||
\(849\) | 7.47635 | + | 8.80184i | 0.256588 | + | 0.302078i | ||||
\(850\) | 3.96833 | + | 3.75900i | 0.136113 | + | 0.128933i | ||||
\(851\) | 7.31738 | − | 18.3652i | 0.250836 | − | 0.629552i | ||||
\(852\) | −2.52117 | − | 6.32766i | −0.0863738 | − | 0.216782i | ||||
\(853\) | −25.2700 | + | 23.9370i | −0.865229 | + | 0.819588i | −0.984882 | − | 0.173228i | \(-0.944580\pi\) |
0.119653 | + | 0.992816i | \(0.461822\pi\) | |||||||
\(854\) | 25.7326 | + | 2.79859i | 0.880552 | + | 0.0957658i | ||||
\(855\) | 1.76396 | + | 10.7597i | 0.0603260 | + | 0.367973i | ||||
\(856\) | −1.94941 | − | 11.8909i | −0.0666296 | − | 0.406422i | ||||
\(857\) | 24.0640 | + | 2.61712i | 0.822012 | + | 0.0893991i | 0.509452 | − | 0.860499i | \(-0.329848\pi\) |
0.312560 | + | 0.949898i | \(0.398814\pi\) | |||||||
\(858\) | −24.2023 | + | 22.9256i | −0.826251 | + | 0.782667i | ||||
\(859\) | 6.31870 | + | 15.8588i | 0.215591 | + | 0.541094i | 0.996504 | − | 0.0835469i | \(-0.0266248\pi\) |
−0.780912 | + | 0.624641i | \(0.785246\pi\) | |||||||
\(860\) | 14.7005 | − | 36.8954i | 0.501282 | − | 1.25812i | ||||
\(861\) | −5.72223 | − | 5.42038i | −0.195013 | − | 0.184726i | ||||
\(862\) | 28.6467 | + | 33.7255i | 0.975711 | + | 1.14870i | ||||
\(863\) | −6.52130 | − | 12.3005i | −0.221988 | − | 0.418713i | 0.747355 | − | 0.664425i | \(-0.231323\pi\) |
−0.969343 | + | 0.245711i | \(0.920979\pi\) | |||||||
\(864\) | −0.379422 | + | 6.99802i | −0.0129082 | + | 0.238078i | ||||
\(865\) | 9.19660 | + | 33.1232i | 0.312694 | + | 1.12622i | ||||
\(866\) | −40.1832 | + | 4.37018i | −1.36548 | + | 0.148505i | ||||
\(867\) | 10.5107 | − | 12.3741i | 0.356961 | − | 0.420247i | ||||
\(868\) | 9.86549 | + | 2.17156i | 0.334857 | + | 0.0737075i | ||||
\(869\) | −43.7207 | − | 33.2356i | −1.48312 | − | 1.12744i | ||||
\(870\) | 21.2404 | − | 7.15673i | 0.720118 | − | 0.242636i | ||||
\(871\) | −0.456154 | − | 8.41326i | −0.0154562 | − | 0.285072i | ||||
\(872\) | 14.9622 | − | 9.00245i | 0.506684 | − | 0.304861i | ||||
\(873\) | −4.52419 | + | 6.67267i | −0.153120 | + | 0.225836i | ||||
\(874\) | −20.1370 | + | 15.3077i | −0.681143 | + | 0.517792i | ||||
\(875\) | 5.15476 | − | 2.38485i | 0.174263 | − | 0.0806225i | ||||
\(876\) | −10.6906 | − | 6.43233i | −0.361202 | − | 0.217328i | ||||
\(877\) | 13.0110 | − | 24.5414i | 0.439350 | − | 0.828703i | −0.560649 | − | 0.828053i | \(-0.689448\pi\) |
1.00000 | 0.000649567i | \(-0.000206764\pi\) | ||||||||
\(878\) | 14.4932 | − | 3.19019i | 0.489122 | − | 0.107664i | ||||
\(879\) | 9.88557 | + | 4.57355i | 0.333432 | + | 0.154262i | ||||
\(880\) | −30.4452 | − | 44.9033i | −1.02631 | − | 1.51369i | ||||
\(881\) | −18.1915 | − | 6.12944i | −0.612888 | − | 0.206506i | −0.00429793 | − | 0.999991i | \(-0.501368\pi\) |
−0.608590 | + | 0.793485i | \(0.708265\pi\) | |||||||
\(882\) | 2.79776 | − | 10.0766i | 0.0942056 | − | 0.339298i | ||||
\(883\) | −6.12345 | + | 37.3514i | −0.206070 | + | 1.25697i | 0.657774 | + | 0.753215i | \(0.271498\pi\) |
−0.863845 | + | 0.503759i | \(0.831950\pi\) | |||||||
\(884\) | 5.90545 | 0.198622 | ||||||||
\(885\) | 4.38319 | − | 21.7489i | 0.147339 | − | 0.731082i | ||||
\(886\) | 39.0996 | 1.31358 | ||||||||
\(887\) | 0.380446 | − | 2.32062i | 0.0127741 | − | 0.0779187i | −0.979670 | − | 0.200615i | \(-0.935706\pi\) |
0.992444 | + | 0.122697i | \(0.0391542\pi\) | |||||||
\(888\) | 1.38725 | − | 4.99643i | 0.0465531 | − | 0.167669i | ||||
\(889\) | 3.69557 | + | 1.24518i | 0.123945 | + | 0.0417621i | ||||
\(890\) | −5.76112 | − | 8.49701i | −0.193113 | − | 0.284821i | ||||
\(891\) | 3.58684 | + | 1.65945i | 0.120164 | + | 0.0555936i | ||||
\(892\) | −20.7965 | + | 4.57766i | −0.696319 | + | 0.153271i | ||||
\(893\) | −16.7309 | + | 31.5577i | −0.559877 | + | 1.05604i | ||||
\(894\) | −4.92084 | − | 2.96077i | −0.164578 | − | 0.0990231i | ||||
\(895\) | 13.7650 | − | 6.36835i | 0.460112 | − | 0.212871i | ||||
\(896\) | −6.87821 | + | 5.22868i | −0.229785 | + | 0.174678i | ||||
\(897\) | 9.06938 | − | 13.3763i | 0.302818 | − | 0.446623i | ||||
\(898\) | 41.2069 | − | 24.7934i | 1.37509 | − | 0.827366i | ||||
\(899\) | 1.27709 | + | 23.5545i | 0.0425933 | + | 0.785587i | ||||
\(900\) | −4.74374 | + | 1.59835i | −0.158125 | + | 0.0532784i | ||||
\(901\) | −7.04689 | − | 5.35690i | −0.234766 | − | 0.178464i | ||||
\(902\) | 47.9465 | + | 10.5538i | 1.59644 | + | 0.351404i | ||||
\(903\) | −7.05383 | + | 8.30441i | −0.234737 | + | 0.276353i | ||||
\(904\) | 1.33265 | − | 0.144934i | 0.0443232 | − | 0.00482043i | ||||
\(905\) | −13.2104 | − | 47.5795i | −0.439128 | − | 1.58160i | ||||
\(906\) | −2.16916 | + | 40.0077i | −0.0720654 | + | 1.32917i | ||||
\(907\) | 19.5695 | + | 36.9119i | 0.649793 | + | 1.22564i | 0.961328 | + | 0.275405i | \(0.0888121\pi\) |
−0.311535 | + | 0.950235i | \(0.600843\pi\) | |||||||
\(908\) | −4.10090 | − | 4.82795i | −0.136093 | − | 0.160221i | ||||
\(909\) | 9.47516 | + | 8.97535i | 0.314271 | + | 0.297693i | ||||
\(910\) | −10.7009 | + | 26.8572i | −0.354731 | + | 0.890308i | ||||
\(911\) | 2.93208 | + | 7.35897i | 0.0971442 | + | 0.243814i | 0.969515 | − | 0.245031i | \(-0.0787980\pi\) |
−0.872371 | + | 0.488844i | \(0.837419\pi\) | |||||||
\(912\) | −13.0245 | + | 12.3374i | −0.431283 | + | 0.408533i | ||||
\(913\) | 60.4186 | + | 6.57092i | 1.99956 | + | 0.217466i | ||||
\(914\) | 9.44604 | + | 57.6183i | 0.312447 | + | 1.90584i | ||||
\(915\) | −5.45057 | − | 33.2470i | −0.180190 | − | 1.09911i | ||||
\(916\) | −21.8780 | − | 2.37938i | −0.722871 | − | 0.0786169i | ||||
\(917\) | 13.3369 | − | 12.6334i | 0.440422 | − | 0.417190i | ||||
\(918\) | −0.605231 | − | 1.51901i | −0.0199756 | − | 0.0501350i | ||||
\(919\) | 8.39388 | − | 21.0670i | 0.276888 | − | 0.694938i | −0.723103 | − | 0.690740i | \(-0.757285\pi\) |
0.999991 | − | 0.00419707i | \(-0.00133597\pi\) | |||||||
\(920\) | 7.06140 | + | 6.68892i | 0.232808 | + | 0.220527i | ||||
\(921\) | 1.01644 | + | 1.19665i | 0.0334929 | + | 0.0394309i | ||||
\(922\) | 28.5739 | + | 53.8960i | 0.941030 | + | 1.77497i | ||||
\(923\) | −1.11073 | + | 20.4862i | −0.0365602 | + | 0.674312i | ||||
\(924\) | −1.87871 | − | 6.76650i | −0.0618050 | − | 0.222602i | ||||
\(925\) | 18.3359 | − | 1.99415i | 0.602880 | − | 0.0655671i | ||||
\(926\) | 13.9615 | − | 16.4368i | 0.458804 | − | 0.540146i | ||||
\(927\) | −5.54209 | − | 1.21991i | −0.182026 | − | 0.0400670i | ||||
\(928\) | 23.1503 | + | 17.5984i | 0.759946 | + | 0.577696i | ||||
\(929\) | −48.0436 | + | 16.1878i | −1.57626 | + | 0.531103i | −0.965431 | − | 0.260660i | \(-0.916060\pi\) |
−0.610828 | + | 0.791763i | \(0.709163\pi\) | |||||||
\(930\) | −1.66255 | − | 30.6639i | −0.0545172 | − | 1.00551i | ||||
\(931\) | 18.0873 | − | 10.8828i | 0.592788 | − | 0.356668i | ||||
\(932\) | 22.4962 | − | 33.1794i | 0.736886 | − | 1.08683i | ||||
\(933\) | 20.3931 | − | 15.5024i | 0.667640 | − | 0.507527i | ||||
\(934\) | −16.7360 | + | 7.74292i | −0.547620 | + | 0.253356i | ||||
\(935\) | 8.55215 | + | 5.14566i | 0.279685 | + | 0.168281i | ||||
\(936\) | 1.98558 | − | 3.74521i | 0.0649008 | − | 0.122416i | ||||
\(937\) | −5.42599 | + | 1.19435i | −0.177259 | + | 0.0390177i | −0.302713 | − | 0.953082i | \(-0.597892\pi\) |
0.125454 | + | 0.992099i | \(0.459961\pi\) | |||||||
\(938\) | 3.76227 | + | 1.74061i | 0.122842 | + | 0.0568330i | ||||
\(939\) | 9.82889 | + | 14.4965i | 0.320754 | + | 0.473077i | ||||
\(940\) | −38.7842 | − | 13.0679i | −1.26500 | − | 0.426228i | ||||
\(941\) | −3.55331 | + | 12.7979i | −0.115835 | + | 0.417199i | −0.998616 | − | 0.0525843i | \(-0.983254\pi\) |
0.882782 | + | 0.469783i | \(0.155668\pi\) | |||||||
\(942\) | −1.80733 | + | 11.0242i | −0.0588861 | + | 0.359189i | ||||
\(943\) | −23.8001 | −0.775038 | ||||||||
\(944\) | 33.6665 | − | 14.1130i | 1.09575 | − | 0.459338i | ||||
\(945\) | 3.42739 | 0.111493 | ||||||||
\(946\) | 10.9797 | − | 66.9733i | 0.356981 | − | 2.17749i | ||||
\(947\) | −5.15880 | + | 18.5803i | −0.167638 | + | 0.603779i | 0.831217 | + | 0.555948i | \(0.187645\pi\) |
−0.998855 | + | 0.0478311i | \(0.984769\pi\) | |||||||
\(948\) | −19.7197 | − | 6.64433i | −0.640465 | − | 0.215798i | ||||
\(949\) | 21.0893 | + | 31.1045i | 0.684589 | + | 1.00969i | ||||
\(950\) | −21.4179 | − | 9.90896i | −0.694887 | − | 0.321489i | ||||
\(951\) | −18.7840 | + | 4.13468i | −0.609114 | + | 0.134076i | ||||
\(952\) | 0.456729 | − | 0.861481i | 0.0148027 | − | 0.0279208i | ||||
\(953\) | −18.6656 | − | 11.2307i | −0.604639 | − | 0.363799i | 0.180079 | − | 0.983652i | \(-0.442365\pi\) |
−0.784718 | + | 0.619853i | \(0.787192\pi\) | |||||||
\(954\) | 17.1835 | − | 7.94994i | 0.556337 | − | 0.257389i | ||||
\(955\) | 48.2255 | − | 36.6601i | 1.56054 | − | 1.18629i | ||||
\(956\) | 1.49564 | − | 2.20590i | 0.0483724 | − | 0.0713439i | ||||
\(957\) | 14.0513 | − | 8.45440i | 0.454215 | − | 0.273292i | ||||
\(958\) | −2.60958 | − | 48.1309i | −0.0843117 | − | 1.55504i | ||||
\(959\) | 13.4474 | − | 4.53096i | 0.434240 | − | 0.146312i | ||||
\(960\) | −8.28142 | − | 6.29537i | −0.267282 | − | 0.203182i | ||||
\(961\) | 1.28856 | + | 0.283634i | 0.0415665 | + | 0.00914947i | ||||
\(962\) | 30.1297 | − | 35.4714i | 0.971421 | − | 1.14364i | ||||
\(963\) | −12.7460 | + | 1.38621i | −0.410734 | + | 0.0446700i | ||||
\(964\) | 5.71809 | + | 20.5947i | 0.184167 | + | 0.663311i | ||||
\(965\) | −1.54282 | + | 28.4557i | −0.0496653 | + | 0.916022i | ||||
\(966\) | 3.72443 | + | 7.02503i | 0.119832 | + | 0.226027i | ||||
\(967\) | −7.95439 | − | 9.36464i | −0.255796 | − | 0.301146i | 0.619242 | − | 0.785200i | \(-0.287440\pi\) |
−0.875038 | + | 0.484054i | \(0.839164\pi\) | |||||||
\(968\) | −3.15169 | − | 2.98544i | −0.101299 | − | 0.0959557i | ||||
\(969\) | 1.22165 | − | 3.06610i | 0.0392449 | − | 0.0984973i | ||||
\(970\) | −16.1187 | − | 40.4549i | −0.517540 | − | 1.29893i | ||||
\(971\) | −25.2258 | + | 23.8951i | −0.809534 | + | 0.766831i | −0.975664 | − | 0.219273i | \(-0.929632\pi\) |
0.166130 | + | 0.986104i | \(0.446873\pi\) | |||||||
\(972\) | 1.48868 | + | 0.161904i | 0.0477495 | + | 0.00519307i | ||||
\(973\) | 1.74063 | + | 10.6174i | 0.0558022 | + | 0.340378i | ||||
\(974\) | 8.85796 | + | 54.0312i | 0.283827 | + | 1.73127i | ||||
\(975\) | 14.9892 | + | 1.63018i | 0.480040 | + | 0.0522075i | ||||
\(976\) | 40.2452 | − | 38.1223i | 1.28822 | − | 1.22026i | ||||
\(977\) | −3.47589 | − | 8.72382i | −0.111204 | − | 0.279100i | 0.862834 | − | 0.505488i | \(-0.168688\pi\) |
−0.974037 | + | 0.226388i | \(0.927308\pi\) | |||||||
\(978\) | −0.126266 | + | 0.316903i | −0.00403753 | + | 0.0101334i | ||||
\(979\) | −5.45291 | − | 5.16527i | −0.174276 | − | 0.165083i | ||||
\(980\) | 15.6582 | + | 18.4342i | 0.500182 | + | 0.588859i | ||||
\(981\) | −8.70291 | − | 16.4154i | −0.277863 | − | 0.524104i | ||||
\(982\) | −0.519471 | + | 9.58109i | −0.0165770 | + | 0.305745i | ||||
\(983\) | 7.52091 | + | 27.0879i | 0.239880 | + | 0.863969i | 0.981228 | + | 0.192849i | \(0.0617727\pi\) |
−0.741349 | + | 0.671120i | \(0.765814\pi\) | |||||||
\(984\) | −6.20610 | + | 0.674954i | −0.197843 | + | 0.0215168i | ||||
\(985\) | −26.9222 | + | 31.6953i | −0.857814 | + | 1.00990i | ||||
\(986\) | −6.62618 | − | 1.45853i | −0.211020 | − | 0.0464491i | ||||
\(987\) | 8.93846 | + | 6.79484i | 0.284514 | + | 0.216282i | ||||
\(988\) | −24.1614 | + | 8.14092i | −0.768676 | + | 0.258997i | ||||
\(989\) | 1.78122 | + | 32.8527i | 0.0566396 | + | 1.04466i | ||||
\(990\) | −18.2924 | + | 11.0062i | −0.581371 | + | 0.349799i | ||||
\(991\) | −7.32453 | + | 10.8029i | −0.232671 | + | 0.343164i | −0.926045 | − | 0.377414i | \(-0.876813\pi\) |
0.693373 | + | 0.720579i | \(0.256124\pi\) | |||||||
\(992\) | 31.7182 | − | 24.1115i | 1.00705 | − | 0.765542i | ||||
\(993\) | 2.22569 | − | 1.02972i | 0.0706302 | − | 0.0326770i | ||||
\(994\) | −8.64915 | − | 5.20402i | −0.274334 | − | 0.165062i | ||||
\(995\) | −3.09935 | + | 5.84600i | −0.0982561 | + | 0.185331i | ||||
\(996\) | 22.4893 | − | 4.95027i | 0.712601 | − | 0.156855i | ||||
\(997\) | 24.3829 | + | 11.2807i | 0.772215 | + | 0.357265i | 0.766104 | − | 0.642717i | \(-0.222193\pi\) |
0.00611111 | + | 0.999981i | \(0.498055\pi\) | |||||||
\(998\) | −35.8869 | − | 52.9293i | −1.13598 | − | 1.67545i | ||||
\(999\) | −5.22863 | − | 1.76173i | −0.165426 | − | 0.0557387i |
(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 | 177.2.e.b.169.5 | yes | 140 | |
3.2 | odd | 2 | 531.2.i.b.523.1 | 140 | |||
59.22 | even | 29 | inner | 177.2.e.b.22.5 | ✓ | 140 | |
177.140 | odd | 58 | 531.2.i.b.199.1 | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.e.b.22.5 | ✓ | 140 | 59.22 | even | 29 | inner | |
177.2.e.b.169.5 | yes | 140 | 1.1 | even | 1 | trivial | |
531.2.i.b.199.1 | 140 | 177.140 | odd | 58 | |||
531.2.i.b.523.1 | 140 | 3.2 | odd | 2 |