Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(24,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([35, 26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.24");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.cc (of order \(60\), degree \(16\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(560\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 24.11 | ||
Character | \(\chi\) | \(=\) | 403.24 |
Dual form | 403.2.cc.a.84.11 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{13}{30}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.22640 | + | 0.0642731i | −0.867198 | + | 0.0454479i | −0.480744 | − | 0.876861i | \(-0.659634\pi\) |
−0.386454 | + | 0.922309i | \(0.626300\pi\) | |||||||
\(3\) | −0.451855 | + | 0.406852i | −0.260878 | + | 0.234896i | −0.789182 | − | 0.614160i | \(-0.789495\pi\) |
0.528303 | + | 0.849056i | \(0.322828\pi\) | |||||||
\(4\) | −0.489109 | + | 0.0514074i | −0.244554 | + | 0.0257037i | ||||
\(5\) | −1.63845 | + | 0.439022i | −0.732739 | + | 0.196337i | −0.605849 | − | 0.795580i | \(-0.707166\pi\) |
−0.126890 | + | 0.991917i | \(0.540500\pi\) | |||||||
\(6\) | 0.528007 | − | 0.528007i | 0.215558 | − | 0.215558i | ||||
\(7\) | 0.600453 | − | 3.79111i | 0.226950 | − | 1.43290i | −0.566396 | − | 0.824133i | \(-0.691663\pi\) |
0.793346 | − | 0.608771i | \(-0.208337\pi\) | |||||||
\(8\) | 3.02247 | − | 0.478713i | 1.06861 | − | 0.169251i | ||||
\(9\) | −0.274941 | + | 2.61589i | −0.0916470 | + | 0.871963i | ||||
\(10\) | 1.98119 | − | 0.643727i | 0.626507 | − | 0.203564i | ||||
\(11\) | −0.682823 | − | 0.108149i | −0.205879 | − | 0.0326080i | 0.0526430 | − | 0.998613i | \(-0.483235\pi\) |
−0.258522 | + | 0.966005i | \(0.583235\pi\) | |||||||
\(12\) | 0.200091 | − | 0.222223i | 0.0577612 | − | 0.0641503i | ||||
\(13\) | −0.0728947 | − | 3.60481i | −0.0202174 | − | 0.999796i | ||||
\(14\) | −0.492731 | + | 4.68802i | −0.131688 | + | 1.25293i | ||||
\(15\) | 0.561726 | − | 0.864982i | 0.145037 | − | 0.223337i | ||||
\(16\) | −2.71389 | + | 0.576856i | −0.678474 | + | 0.144214i | ||||
\(17\) | 5.85498 | + | 4.25389i | 1.42004 | + | 1.03172i | 0.991765 | + | 0.128072i | \(0.0408788\pi\) |
0.428276 | + | 0.903648i | \(0.359121\pi\) | |||||||
\(18\) | 0.169057 | − | 3.22581i | 0.0398472 | − | 0.760330i | ||||
\(19\) | −3.74464 | + | 7.34926i | −0.859079 | + | 1.68604i | −0.141073 | + | 0.989999i | \(0.545055\pi\) |
−0.718006 | + | 0.696037i | \(0.754945\pi\) | |||||||
\(20\) | 0.778813 | − | 0.298958i | 0.174148 | − | 0.0668491i | ||||
\(21\) | 1.27110 | + | 1.95732i | 0.277377 | + | 0.427123i | ||||
\(22\) | 0.844368 | + | 0.0887467i | 0.180020 | + | 0.0189209i | ||||
\(23\) | 0.0961035 | − | 0.914364i | 0.0200390 | − | 0.190658i | −0.979923 | − | 0.199376i | \(-0.936108\pi\) |
0.999962 | + | 0.00871813i | \(0.00277510\pi\) | |||||||
\(24\) | −1.17095 | + | 1.44601i | −0.239020 | + | 0.295165i | ||||
\(25\) | −1.83834 | + | 1.06136i | −0.367668 | + | 0.212273i | ||||
\(26\) | 0.321091 | + | 4.41627i | 0.0629711 | + | 0.866102i | ||||
\(27\) | −2.01222 | − | 2.76958i | −0.387252 | − | 0.533006i | ||||
\(28\) | −0.0987955 | + | 1.88513i | −0.0186706 | + | 0.356256i | ||||
\(29\) | 7.37849 | + | 6.64362i | 1.37015 | + | 1.23369i | 0.944379 | + | 0.328858i | \(0.106664\pi\) |
0.425771 | + | 0.904831i | \(0.360003\pi\) | |||||||
\(30\) | −0.633308 | + | 1.09692i | −0.115626 | + | 0.200269i | ||||
\(31\) | −1.69760 | + | 5.30266i | −0.304898 | + | 0.952385i | ||||
\(32\) | −2.62050 | + | 0.702161i | −0.463244 | + | 0.124126i | ||||
\(33\) | 0.352537 | − | 0.228940i | 0.0613689 | − | 0.0398534i | ||||
\(34\) | −7.45398 | − | 4.84067i | −1.27835 | − | 0.830168i | ||||
\(35\) | 0.680567 | + | 6.47517i | 0.115037 | + | 1.09450i | ||||
\(36\) | − | 1.29359i | − | 0.215598i | ||||||
\(37\) | 3.91053 | − | 1.04782i | 0.642887 | − | 0.172261i | 0.0773761 | − | 0.997002i | \(-0.475346\pi\) |
0.565511 | + | 0.824741i | \(0.308679\pi\) | |||||||
\(38\) | 4.12008 | − | 9.25384i | 0.668365 | − | 1.50117i | ||||
\(39\) | 1.49956 | + | 1.59919i | 0.240122 | + | 0.256076i | ||||
\(40\) | −4.74202 | + | 2.11128i | −0.749779 | + | 0.333823i | ||||
\(41\) | 3.18929 | − | 6.25934i | 0.498084 | − | 0.977545i | −0.495937 | − | 0.868358i | \(-0.665175\pi\) |
0.994021 | − | 0.109187i | \(-0.0348246\pi\) | |||||||
\(42\) | −1.68469 | − | 2.31877i | −0.259953 | − | 0.357794i | ||||
\(43\) | 2.99956 | + | 9.23169i | 0.457428 | + | 1.40782i | 0.868261 | + | 0.496108i | \(0.165238\pi\) |
−0.410833 | + | 0.911711i | \(0.634762\pi\) | |||||||
\(44\) | 0.339534 | + | 0.0177942i | 0.0511867 | + | 0.00268258i | ||||
\(45\) | −0.697956 | − | 4.40672i | −0.104045 | − | 0.656915i | ||||
\(46\) | −0.0590927 | + | 1.12756i | −0.00871275 | + | 0.166249i | ||||
\(47\) | −0.638069 | − | 1.25228i | −0.0930719 | − | 0.182664i | 0.839777 | − | 0.542931i | \(-0.182686\pi\) |
−0.932849 | + | 0.360267i | \(0.882686\pi\) | |||||||
\(48\) | 0.991591 | − | 1.36481i | 0.143124 | − | 0.196993i | ||||
\(49\) | −7.35456 | − | 2.38964i | −1.05065 | − | 0.341378i | ||||
\(50\) | 2.18633 | − | 1.41982i | 0.309193 | − | 0.200793i | ||||
\(51\) | −4.37630 | + | 0.459968i | −0.612805 | + | 0.0644084i | ||||
\(52\) | 0.220967 | + | 1.75940i | 0.0306427 | + | 0.243985i | ||||
\(53\) | 1.63510 | + | 3.67250i | 0.224598 | + | 0.504456i | 0.990335 | − | 0.138698i | \(-0.0442919\pi\) |
−0.765736 | + | 0.643155i | \(0.777625\pi\) | |||||||
\(54\) | 2.64580 | + | 3.26730i | 0.360048 | + | 0.444623i | ||||
\(55\) | 1.16625 | − | 0.122578i | 0.157258 | − | 0.0165284i | ||||
\(56\) | − | 11.7460i | − | 1.56962i | ||||||
\(57\) | −1.29803 | − | 4.84431i | −0.171928 | − | 0.641645i | ||||
\(58\) | −9.47601 | − | 7.67352i | −1.24426 | − | 1.00758i | ||||
\(59\) | 1.02145 | + | 2.00470i | 0.132981 | + | 0.260990i | 0.947889 | − | 0.318600i | \(-0.103213\pi\) |
−0.814908 | + | 0.579590i | \(0.803213\pi\) | |||||||
\(60\) | −0.230278 | + | 0.451947i | −0.0297288 | + | 0.0583461i | ||||
\(61\) | 7.62846 | + | 4.40429i | 0.976724 | + | 0.563912i | 0.901279 | − | 0.433238i | \(-0.142629\pi\) |
0.0754445 | + | 0.997150i | \(0.475962\pi\) | |||||||
\(62\) | 1.74112 | − | 6.61231i | 0.221123 | − | 0.839764i | ||||
\(63\) | 9.75203 | + | 2.61305i | 1.22864 | + | 0.329213i | ||||
\(64\) | 8.44612 | − | 2.74431i | 1.05577 | − | 0.343039i | ||||
\(65\) | 1.70203 | + | 5.87432i | 0.211111 | + | 0.728620i | ||||
\(66\) | −0.417638 | + | 0.303432i | −0.0514077 | + | 0.0373499i | ||||
\(67\) | 1.31318 | + | 1.31318i | 0.160430 | + | 0.160430i | 0.782757 | − | 0.622327i | \(-0.213813\pi\) |
−0.622327 | + | 0.782757i | \(0.713813\pi\) | |||||||
\(68\) | −3.08240 | − | 1.77962i | −0.373796 | − | 0.215811i | ||||
\(69\) | 0.328586 | + | 0.452259i | 0.0395571 | + | 0.0544456i | ||||
\(70\) | −1.25083 | − | 7.89743i | −0.149503 | − | 0.943923i | ||||
\(71\) | 1.54844 | − | 1.25390i | 0.183766 | − | 0.148811i | −0.533023 | − | 0.846100i | \(-0.678944\pi\) |
0.716789 | + | 0.697290i | \(0.245611\pi\) | |||||||
\(72\) | 0.421258 | + | 8.03808i | 0.0496457 | + | 0.947297i | ||||
\(73\) | −2.51291 | + | 3.10318i | −0.294114 | + | 0.363200i | −0.902687 | − | 0.430297i | \(-0.858409\pi\) |
0.608574 | + | 0.793497i | \(0.291742\pi\) | |||||||
\(74\) | −4.72854 | + | 1.53640i | −0.549682 | + | 0.178602i | ||||
\(75\) | 0.398843 | − | 1.22751i | 0.0460545 | − | 0.141741i | ||||
\(76\) | 1.45373 | − | 3.78709i | 0.166754 | − | 0.434409i | ||||
\(77\) | −0.820006 | + | 2.52372i | −0.0934484 | + | 0.287604i | ||||
\(78\) | −1.94185 | − | 1.86488i | −0.219872 | − | 0.211156i | ||||
\(79\) | −4.89072 | − | 0.514035i | −0.550249 | − | 0.0578335i | −0.174675 | − | 0.984626i | \(-0.555888\pi\) |
−0.375574 | + | 0.926793i | \(0.622554\pi\) | |||||||
\(80\) | 4.19334 | − | 2.13661i | 0.468829 | − | 0.238881i | ||||
\(81\) | −5.68242 | − | 1.20784i | −0.631380 | − | 0.134204i | ||||
\(82\) | −3.50906 | + | 7.88147i | −0.387510 | + | 0.870363i | ||||
\(83\) | 8.98767 | − | 5.83666i | 0.986525 | − | 0.640657i | 0.0527840 | − | 0.998606i | \(-0.483191\pi\) |
0.933741 | + | 0.357949i | \(0.116524\pi\) | |||||||
\(84\) | −0.722328 | − | 0.892000i | −0.0788124 | − | 0.0973252i | ||||
\(85\) | −11.4607 | − | 4.39934i | −1.24308 | − | 0.477175i | ||||
\(86\) | −4.27202 | − | 11.1290i | −0.460663 | − | 1.20007i | ||||
\(87\) | −6.03697 | −0.647231 | ||||||||
\(88\) | −2.11559 | −0.225522 | ||||||||
\(89\) | 0.908564 | + | 2.36689i | 0.0963076 | + | 0.250890i | 0.973268 | − | 0.229673i | \(-0.0737657\pi\) |
−0.876960 | + | 0.480563i | \(0.840432\pi\) | |||||||
\(90\) | 1.13921 | + | 5.35956i | 0.120083 | + | 0.564947i | ||||
\(91\) | −13.7100 | − | 1.88817i | −1.43720 | − | 0.197934i | ||||
\(92\) | 0.452164i | 0.0471413i | ||||||||
\(93\) | −1.39033 | − | 3.08670i | −0.144170 | − | 0.320076i | ||||
\(94\) | 0.863018 | + | 1.49479i | 0.0890135 | + | 0.154176i | ||||
\(95\) | 2.90892 | − | 13.6854i | 0.298449 | − | 1.40409i | ||||
\(96\) | 0.898410 | − | 1.38343i | 0.0916936 | − | 0.141196i | ||||
\(97\) | −2.43014 | + | 3.00098i | −0.246744 | + | 0.304703i | −0.885438 | − | 0.464758i | \(-0.846141\pi\) |
0.638694 | + | 0.769461i | \(0.279475\pi\) | |||||||
\(98\) | 9.17325 | + | 2.45797i | 0.926639 | + | 0.248292i | ||||
\(99\) | 0.470641 | − | 1.75646i | 0.0473012 | − | 0.176530i | ||||
\(100\) | 0.844585 | − | 0.613627i | 0.0844585 | − | 0.0613627i | ||||
\(101\) | −10.0691 | − | 1.05831i | −1.00192 | − | 0.105306i | −0.410659 | − | 0.911789i | \(-0.634701\pi\) |
−0.591257 | + | 0.806483i | \(0.701368\pi\) | |||||||
\(102\) | 5.33755 | − | 0.845385i | 0.528496 | − | 0.0837056i | ||||
\(103\) | 1.36057 | − | 6.40097i | 0.134061 | − | 0.630706i | −0.858888 | − | 0.512163i | \(-0.828844\pi\) |
0.992949 | − | 0.118543i | \(-0.0378224\pi\) | |||||||
\(104\) | −1.94599 | − | 10.8606i | −0.190820 | − | 1.06497i | ||||
\(105\) | −2.94195 | − | 2.64894i | −0.287105 | − | 0.258510i | ||||
\(106\) | −2.24134 | − | 4.39887i | −0.217698 | − | 0.427256i | ||||
\(107\) | −15.8676 | + | 7.06470i | −1.53398 | + | 0.682971i | −0.987947 | − | 0.154795i | \(-0.950528\pi\) |
−0.546030 | + | 0.837765i | \(0.683862\pi\) | |||||||
\(108\) | 1.12657 | + | 1.25118i | 0.108404 | + | 0.120395i | ||||
\(109\) | 15.0412 | − | 7.66389i | 1.44069 | − | 0.734067i | 0.453148 | − | 0.891435i | \(-0.350301\pi\) |
0.987540 | + | 0.157368i | \(0.0503007\pi\) | |||||||
\(110\) | −1.42242 | + | 0.225289i | −0.135622 | + | 0.0214805i | ||||
\(111\) | −1.34068 | + | 2.06447i | −0.127252 | + | 0.195951i | ||||
\(112\) | 0.557359 | + | 10.6350i | 0.0526655 | + | 1.00492i | ||||
\(113\) | 3.04167 | + | 1.35424i | 0.286137 | + | 0.127396i | 0.544786 | − | 0.838575i | \(-0.316611\pi\) |
−0.258650 | + | 0.965971i | \(0.583277\pi\) | |||||||
\(114\) | 1.90327 | + | 5.85765i | 0.178257 | + | 0.548619i | ||||
\(115\) | 0.243965 | + | 1.54033i | 0.0227499 | + | 0.143637i | ||||
\(116\) | −3.95041 | − | 2.87014i | −0.366787 | − | 0.266486i | ||||
\(117\) | 9.44984 | + | 0.800427i | 0.873638 | + | 0.0739995i | ||||
\(118\) | −1.38155 | − | 2.39292i | −0.127182 | − | 0.220286i | ||||
\(119\) | 19.6426 | − | 19.6426i | 1.80063 | − | 1.80063i | ||||
\(120\) | 1.28372 | − | 2.88329i | 0.117187 | − | 0.263207i | ||||
\(121\) | −10.0071 | − | 3.25149i | −0.909734 | − | 0.295590i | ||||
\(122\) | −9.63865 | − | 4.91114i | −0.872642 | − | 0.444633i | ||||
\(123\) | 1.10553 | + | 4.12588i | 0.0996820 | + | 0.372018i | ||||
\(124\) | 0.557714 | − | 2.68084i | 0.0500842 | − | 0.240747i | ||||
\(125\) | 8.54322 | − | 8.54322i | 0.764129 | − | 0.764129i | ||||
\(126\) | −12.1279 | − | 2.57786i | −1.08044 | − | 0.229654i | ||||
\(127\) | −9.63739 | − | 10.7034i | −0.855180 | − | 0.949773i | 0.144028 | − | 0.989574i | \(-0.453995\pi\) |
−0.999208 | + | 0.0398002i | \(0.987328\pi\) | |||||||
\(128\) | −5.11647 | + | 1.96403i | −0.452236 | + | 0.173597i | ||||
\(129\) | −5.11129 | − | 2.95100i | −0.450024 | − | 0.259821i | ||||
\(130\) | −2.46493 | − | 7.09489i | −0.216189 | − | 0.622263i | ||||
\(131\) | 4.51976 | + | 2.01233i | 0.394893 | + | 0.175818i | 0.594570 | − | 0.804044i | \(-0.297322\pi\) |
−0.199677 | + | 0.979862i | \(0.563989\pi\) | |||||||
\(132\) | −0.160660 | + | 0.130100i | −0.0139836 | + | 0.0113237i | ||||
\(133\) | 25.6134 | + | 18.6092i | 2.22096 | + | 1.61362i | ||||
\(134\) | −1.69489 | − | 1.52609i | −0.146416 | − | 0.131834i | ||||
\(135\) | 4.51284 | + | 3.65442i | 0.388403 | + | 0.314523i | ||||
\(136\) | 19.7329 | + | 10.0544i | 1.69208 | + | 0.862160i | ||||
\(137\) | 10.6225 | + | 6.89832i | 0.907540 | + | 0.589363i | 0.911803 | − | 0.410627i | \(-0.134690\pi\) |
−0.00426307 | + | 0.999991i | \(0.501357\pi\) | |||||||
\(138\) | −0.432047 | − | 0.533533i | −0.0367783 | − | 0.0454174i | ||||
\(139\) | −2.62607 | + | 2.36453i | −0.222741 | + | 0.200557i | −0.772944 | − | 0.634474i | \(-0.781217\pi\) |
0.550204 | + | 0.835031i | \(0.314550\pi\) | |||||||
\(140\) | −0.665743 | − | 3.13207i | −0.0562655 | − | 0.264708i | ||||
\(141\) | 0.797806 | + | 0.306249i | 0.0671874 | + | 0.0257908i | ||||
\(142\) | −1.81842 | + | 1.63731i | −0.152598 | + | 0.137400i | ||||
\(143\) | −0.340081 | + | 2.46933i | −0.0284390 | + | 0.206496i | ||||
\(144\) | −0.762831 | − | 7.25785i | −0.0635692 | − | 0.604821i | ||||
\(145\) | −15.0060 | − | 7.64594i | −1.24618 | − | 0.634961i | ||||
\(146\) | 2.88239 | − | 3.96727i | 0.238548 | − | 0.328333i | ||||
\(147\) | 4.29542 | − | 1.91245i | 0.354281 | − | 0.157736i | ||||
\(148\) | −1.85881 | + | 0.713529i | −0.152793 | + | 0.0586517i | ||||
\(149\) | 16.1356 | + | 16.1356i | 1.32188 | + | 1.32188i | 0.912252 | + | 0.409630i | \(0.134342\pi\) |
0.409630 | + | 0.912252i | \(0.365658\pi\) | |||||||
\(150\) | −0.410247 | + | 1.53106i | −0.0334965 | + | 0.125011i | ||||
\(151\) | −15.2260 | − | 2.41156i | −1.23908 | − | 0.196250i | −0.497705 | − | 0.867346i | \(-0.665824\pi\) |
−0.741370 | + | 0.671096i | \(0.765824\pi\) | |||||||
\(152\) | −7.79988 | + | 24.0056i | −0.632654 | + | 1.94711i | ||||
\(153\) | −12.7375 | + | 14.1464i | −1.02976 | + | 1.14367i | ||||
\(154\) | 0.843451 | − | 3.14780i | 0.0679672 | − | 0.253657i | ||||
\(155\) | 0.453452 | − | 9.43344i | 0.0364221 | − | 0.757712i | ||||
\(156\) | −0.815659 | − | 0.705091i | −0.0653050 | − | 0.0564525i | ||||
\(157\) | −0.753727 | − | 2.31973i | −0.0601539 | − | 0.185135i | 0.916464 | − | 0.400117i | \(-0.131031\pi\) |
−0.976618 | + | 0.214982i | \(0.931031\pi\) | |||||||
\(158\) | 6.03103 | + | 0.316073i | 0.479803 | + | 0.0251454i | ||||
\(159\) | −2.23299 | − | 0.994191i | −0.177088 | − | 0.0788445i | ||||
\(160\) | 3.98531 | − | 2.30092i | 0.315066 | − | 0.181903i | ||||
\(161\) | −3.40875 | − | 0.913371i | −0.268647 | − | 0.0719837i | ||||
\(162\) | 7.04658 | + | 1.11607i | 0.553631 | + | 0.0876866i | ||||
\(163\) | −2.11157 | + | 5.50083i | −0.165391 | + | 0.430859i | −0.991080 | − | 0.133267i | \(-0.957453\pi\) |
0.825689 | + | 0.564125i | \(0.190787\pi\) | |||||||
\(164\) | −1.23813 | + | 3.22545i | −0.0966821 | + | 0.251865i | ||||
\(165\) | −0.477106 | + | 0.529880i | −0.0371427 | + | 0.0412511i | ||||
\(166\) | −10.6474 | + | 7.73577i | −0.826397 | + | 0.600412i | ||||
\(167\) | −0.894947 | − | 1.37810i | −0.0692531 | − | 0.106640i | 0.802347 | − | 0.596857i | \(-0.203584\pi\) |
−0.871600 | + | 0.490217i | \(0.836918\pi\) | |||||||
\(168\) | 4.77887 | + | 5.30747i | 0.368698 | + | 0.409480i | ||||
\(169\) | −12.9894 | + | 0.525544i | −0.999183 | + | 0.0404264i | ||||
\(170\) | 14.3382 | + | 4.65875i | 1.09969 | + | 0.357310i | ||||
\(171\) | −18.1953 | − | 11.8162i | −1.39143 | − | 0.903605i | ||||
\(172\) | −1.94169 | − | 4.36110i | −0.148052 | − | 0.332530i | ||||
\(173\) | 4.59611 | + | 21.6230i | 0.349436 | + | 1.64397i | 0.704923 | + | 0.709284i | \(0.250982\pi\) |
−0.355487 | + | 0.934681i | \(0.615685\pi\) | |||||||
\(174\) | 7.40376 | − | 0.388015i | 0.561278 | − | 0.0294153i | ||||
\(175\) | 2.91991 | + | 7.60664i | 0.220725 | + | 0.575008i | ||||
\(176\) | 1.91550 | − | 0.100387i | 0.144386 | − | 0.00756695i | ||||
\(177\) | −1.27716 | − | 0.490256i | −0.0959972 | − | 0.0368499i | ||||
\(178\) | −1.26639 | − | 2.84437i | −0.0949202 | − | 0.213194i | ||||
\(179\) | 1.74772 | + | 16.6284i | 0.130631 | + | 1.24287i | 0.841778 | + | 0.539824i | \(0.181509\pi\) |
−0.711148 | + | 0.703043i | \(0.751824\pi\) | |||||||
\(180\) | 0.567914 | + | 2.11948i | 0.0423298 | + | 0.157977i | ||||
\(181\) | −4.13652 | + | 7.16466i | −0.307465 | + | 0.532545i | −0.977807 | − | 0.209507i | \(-0.932814\pi\) |
0.670342 | + | 0.742052i | \(0.266147\pi\) | |||||||
\(182\) | 16.9354 | + | 1.43447i | 1.25533 | + | 0.106330i | ||||
\(183\) | −5.23885 | + | 1.11355i | −0.387267 | + | 0.0823161i | ||||
\(184\) | −0.147247 | − | 2.80965i | −0.0108552 | − | 0.207130i | ||||
\(185\) | −5.94720 | + | 3.43362i | −0.437247 | + | 0.252445i | ||||
\(186\) | 1.90349 | + | 3.69618i | 0.139571 | + | 0.271017i | ||||
\(187\) | −3.53786 | − | 3.53786i | −0.258714 | − | 0.258714i | ||||
\(188\) | 0.376461 | + | 0.579699i | 0.0274563 | + | 0.0422789i | ||||
\(189\) | −11.7080 | + | 5.96554i | −0.851634 | + | 0.433929i | ||||
\(190\) | −2.68791 | + | 16.9708i | −0.195002 | + | 1.23119i | ||||
\(191\) | 1.33482 | + | 2.31197i | 0.0965841 | + | 0.167289i | 0.910269 | − | 0.414018i | \(-0.135875\pi\) |
−0.813685 | + | 0.581307i | \(0.802542\pi\) | |||||||
\(192\) | −2.69989 | + | 4.67635i | −0.194848 | + | 0.337486i | ||||
\(193\) | −3.80421 | − | 3.08058i | −0.273833 | − | 0.221745i | 0.482560 | − | 0.875863i | \(-0.339707\pi\) |
−0.756393 | + | 0.654117i | \(0.773040\pi\) | |||||||
\(194\) | 2.78745 | − | 3.83660i | 0.200128 | − | 0.275452i | ||||
\(195\) | −3.15905 | − | 1.96186i | −0.226224 | − | 0.140492i | ||||
\(196\) | 3.72002 | + | 0.790716i | 0.265716 | + | 0.0564797i | ||||
\(197\) | −3.34065 | + | 21.0920i | −0.238012 | + | 1.50275i | 0.522061 | + | 0.852908i | \(0.325163\pi\) |
−0.760073 | + | 0.649838i | \(0.774837\pi\) | |||||||
\(198\) | −0.464303 | + | 2.18437i | −0.0329966 | + | 0.155237i | ||||
\(199\) | 17.6499 | − | 3.75161i | 1.25117 | − | 0.265944i | 0.465755 | − | 0.884914i | \(-0.345783\pi\) |
0.785415 | + | 0.618969i | \(0.212449\pi\) | |||||||
\(200\) | −5.04824 | + | 4.08798i | −0.356964 | + | 0.289064i | ||||
\(201\) | −1.12763 | − | 0.0590968i | −0.0795372 | − | 0.00416837i | ||||
\(202\) | 12.4168 | + | 0.650739i | 0.873646 | + | 0.0457858i | ||||
\(203\) | 29.6171 | − | 23.9835i | 2.07871 | − | 1.68331i | ||||
\(204\) | 2.11684 | − | 0.449948i | 0.148208 | − | 0.0315027i | ||||
\(205\) | −2.47752 | + | 11.6558i | −0.173037 | + | 0.814077i | ||||
\(206\) | −1.25720 | + | 7.93762i | −0.0875930 | + | 0.553040i | ||||
\(207\) | 2.36545 | + | 0.502792i | 0.164410 | + | 0.0349465i | ||||
\(208\) | 2.27729 | + | 9.74104i | 0.157902 | + | 0.675419i | ||||
\(209\) | 3.35174 | − | 4.61327i | 0.231845 | − | 0.319107i | ||||
\(210\) | 3.77827 | + | 3.05959i | 0.260726 | + | 0.211132i | ||||
\(211\) | 5.17602 | − | 8.96512i | 0.356332 | − | 0.617184i | −0.631013 | − | 0.775772i | \(-0.717361\pi\) |
0.987345 | + | 0.158588i | \(0.0506940\pi\) | |||||||
\(212\) | −0.988535 | − | 1.71219i | −0.0678929 | − | 0.117594i | ||||
\(213\) | −0.189517 | + | 1.19657i | −0.0129855 | + | 0.0819874i | ||||
\(214\) | 19.0060 | − | 9.68404i | 1.29922 | − | 0.661987i | ||||
\(215\) | −8.96755 | − | 13.8088i | −0.611582 | − | 0.941753i | ||||
\(216\) | −7.40772 | − | 7.40772i | −0.504031 | − | 0.504031i | ||||
\(217\) | 19.0836 | + | 9.61977i | 1.29548 | + | 0.653033i | ||||
\(218\) | −17.9540 | + | 10.3658i | −1.21600 | + | 0.702059i | ||||
\(219\) | −0.127066 | − | 2.42457i | −0.00858634 | − | 0.163837i | ||||
\(220\) | −0.564123 | + | 0.119908i | −0.0380332 | + | 0.00808420i | ||||
\(221\) | 14.9077 | − | 21.4162i | 1.00280 | − | 1.44061i | ||||
\(222\) | 1.51153 | − | 2.61804i | 0.101447 | − | 0.175711i | ||||
\(223\) | −4.08399 | − | 15.2417i | −0.273484 | − | 1.02066i | −0.956850 | − | 0.290581i | \(-0.906151\pi\) |
0.683366 | − | 0.730076i | \(-0.260515\pi\) | |||||||
\(224\) | 1.08848 | + | 10.3562i | 0.0727273 | + | 0.691954i | ||||
\(225\) | −2.27098 | − | 5.10070i | −0.151399 | − | 0.340047i | ||||
\(226\) | −3.81736 | − | 1.46535i | −0.253927 | − | 0.0974735i | ||||
\(227\) | −6.18221 | + | 0.323996i | −0.410328 | + | 0.0215044i | −0.256383 | − | 0.966575i | \(-0.582531\pi\) |
−0.153944 | + | 0.988080i | \(0.549198\pi\) | |||||||
\(228\) | 0.883910 | + | 2.30267i | 0.0585384 | + | 0.152498i | ||||
\(229\) | −18.7052 | + | 0.980299i | −1.23608 | + | 0.0647800i | −0.659147 | − | 0.752014i | \(-0.729082\pi\) |
−0.576929 | + | 0.816794i | \(0.695749\pi\) | |||||||
\(230\) | −0.398202 | − | 1.87339i | −0.0262566 | − | 0.123528i | ||||
\(231\) | −0.656256 | − | 1.47397i | −0.0431785 | − | 0.0969804i | ||||
\(232\) | 25.4817 | + | 16.5480i | 1.67295 | + | 1.08643i | ||||
\(233\) | 11.3958 | + | 3.70272i | 0.746563 | + | 0.242573i | 0.657502 | − | 0.753453i | \(-0.271613\pi\) |
0.0890613 | + | 0.996026i | \(0.471613\pi\) | |||||||
\(234\) | −11.6408 | − | 0.374276i | −0.760981 | − | 0.0244672i | ||||
\(235\) | 1.59522 | + | 1.77168i | 0.104061 | + | 0.115571i | ||||
\(236\) | −0.602654 | − | 0.928006i | −0.0392294 | − | 0.0604080i | ||||
\(237\) | 2.41903 | − | 1.75753i | 0.157133 | − | 0.114164i | ||||
\(238\) | −22.8273 | + | 25.3522i | −1.47967 | + | 1.64334i | ||||
\(239\) | 3.58742 | − | 9.34555i | 0.232051 | − | 0.604513i | −0.767271 | − | 0.641323i | \(-0.778386\pi\) |
0.999322 | + | 0.0368092i | \(0.0117194\pi\) | |||||||
\(240\) | −1.02549 | + | 2.67150i | −0.0661954 | + | 0.172445i | ||||
\(241\) | −9.57564 | − | 1.51663i | −0.616821 | − | 0.0976949i | −0.159798 | − | 0.987150i | \(-0.551084\pi\) |
−0.457023 | + | 0.889455i | \(0.651084\pi\) | |||||||
\(242\) | 12.4817 | + | 3.34446i | 0.802354 | + | 0.214990i | ||||
\(243\) | 11.9533 | − | 6.90123i | 0.766803 | − | 0.442714i | ||||
\(244\) | −3.95756 | − | 1.76202i | −0.253357 | − | 0.112802i | ||||
\(245\) | 13.0992 | + | 0.686501i | 0.836878 | + | 0.0438589i | ||||
\(246\) | −1.62101 | − | 4.98894i | −0.103352 | − | 0.318083i | ||||
\(247\) | 26.7657 | + | 12.9630i | 1.70306 | + | 0.824816i | ||||
\(248\) | −2.59250 | + | 16.8398i | −0.164624 | + | 1.06933i | ||||
\(249\) | −1.68646 | + | 6.29397i | −0.106875 | + | 0.398864i | ||||
\(250\) | −9.92834 | + | 11.0265i | −0.627924 | + | 0.697380i | ||||
\(251\) | −1.70492 | + | 5.24719i | −0.107613 | + | 0.331200i | −0.990335 | − | 0.138697i | \(-0.955709\pi\) |
0.882722 | + | 0.469896i | \(0.155709\pi\) | |||||||
\(252\) | −4.90413 | − | 0.776738i | −0.308931 | − | 0.0489299i | ||||
\(253\) | −0.164509 | + | 0.613955i | −0.0103426 | + | 0.0385990i | ||||
\(254\) | 12.5073 | + | 12.5073i | 0.784776 | + | 0.784776i | ||||
\(255\) | 6.96843 | − | 2.67493i | 0.436380 | − | 0.167511i | ||||
\(256\) | −10.0774 | + | 4.48673i | −0.629835 | + | 0.280421i | ||||
\(257\) | 10.0648 | − | 13.8530i | 0.627825 | − | 0.864127i | −0.370068 | − | 0.929005i | \(-0.620666\pi\) |
0.997893 | + | 0.0648777i | \(0.0206657\pi\) | |||||||
\(258\) | 6.45818 | + | 3.29061i | 0.402068 | + | 0.204864i | ||||
\(259\) | −1.62432 | − | 15.4544i | −0.100931 | − | 0.960290i | ||||
\(260\) | −1.13446 | − | 2.78568i | −0.0703562 | − | 0.172761i | ||||
\(261\) | −19.4076 | + | 17.4747i | −1.20130 | + | 1.08166i | ||||
\(262\) | −5.67239 | − | 2.17743i | −0.350441 | − | 0.134522i | ||||
\(263\) | 0.292256 | + | 1.37496i | 0.0180213 | + | 0.0847835i | 0.986239 | − | 0.165325i | \(-0.0528672\pi\) |
−0.968218 | + | 0.250108i | \(0.919534\pi\) | |||||||
\(264\) | 0.955938 | − | 0.860731i | 0.0588339 | − | 0.0529743i | ||||
\(265\) | −4.29134 | − | 5.29937i | −0.263615 | − | 0.325538i | ||||
\(266\) | −32.6084 | − | 21.1762i | −1.99935 | − | 1.29839i | ||||
\(267\) | −1.37351 | − | 0.699839i | −0.0840576 | − | 0.0428295i | ||||
\(268\) | −0.709794 | − | 0.574780i | −0.0433576 | − | 0.0351103i | ||||
\(269\) | −12.2397 | − | 11.0207i | −0.746267 | − | 0.671942i | 0.205537 | − | 0.978649i | \(-0.434106\pi\) |
−0.951804 | + | 0.306707i | \(0.900773\pi\) | |||||||
\(270\) | −5.76944 | − | 4.19174i | −0.351117 | − | 0.255101i | ||||
\(271\) | 11.0586 | − | 8.95510i | 0.671764 | − | 0.543984i | −0.231625 | − | 0.972805i | \(-0.574404\pi\) |
0.903389 | + | 0.428821i | \(0.141071\pi\) | |||||||
\(272\) | −18.3437 | − | 8.16713i | −1.11225 | − | 0.495205i | ||||
\(273\) | 6.96314 | − | 4.72476i | 0.421428 | − | 0.285956i | ||||
\(274\) | −13.4708 | − | 7.77739i | −0.813803 | − | 0.469849i | ||||
\(275\) | 1.37004 | − | 0.525911i | 0.0826168 | − | 0.0317136i | ||||
\(276\) | −0.183964 | − | 0.204312i | −0.0110733 | − | 0.0122981i | ||||
\(277\) | −5.08364 | − | 1.08056i | −0.305446 | − | 0.0649246i | 0.0526387 | − | 0.998614i | \(-0.483237\pi\) |
−0.358085 | + | 0.933689i | \(0.616570\pi\) | |||||||
\(278\) | 3.06865 | − | 3.06865i | 0.184045 | − | 0.184045i | ||||
\(279\) | −13.4044 | − | 5.89865i | −0.802502 | − | 0.353143i | ||||
\(280\) | 5.15674 | + | 19.2452i | 0.308174 | + | 1.15012i | ||||
\(281\) | 14.8481 | + | 7.56548i | 0.885762 | + | 0.451318i | 0.836817 | − | 0.547483i | \(-0.184414\pi\) |
0.0489455 | + | 0.998801i | \(0.484414\pi\) | |||||||
\(282\) | −0.998116 | − | 0.324308i | −0.0594370 | − | 0.0193122i | ||||
\(283\) | 5.22082 | − | 11.7261i | 0.310345 | − | 0.697047i | −0.689278 | − | 0.724497i | \(-0.742072\pi\) |
0.999623 | + | 0.0274502i | \(0.00873875\pi\) | |||||||
\(284\) | −0.692895 | + | 0.692895i | −0.0411158 | + | 0.0411158i | ||||
\(285\) | 4.25352 | + | 7.36731i | 0.251957 | + | 0.436402i | ||||
\(286\) | 0.258365 | − | 3.05026i | 0.0152775 | − | 0.180366i | ||||
\(287\) | −21.8148 | − | 15.8494i | −1.28769 | − | 0.935561i | ||||
\(288\) | −1.11629 | − | 7.04800i | −0.0657782 | − | 0.415307i | ||||
\(289\) | 10.9319 | + | 33.6449i | 0.643052 | + | 1.97911i | ||||
\(290\) | 18.8949 | + | 8.41253i | 1.10954 | + | 0.494001i | ||||
\(291\) | −0.122881 | − | 2.34471i | −0.00720342 | − | 0.137449i | ||||
\(292\) | 1.06956 | − | 1.64698i | 0.0625912 | − | 0.0963819i | ||||
\(293\) | −28.9006 | + | 4.57741i | −1.68839 | + | 0.267415i | −0.925400 | − | 0.378992i | \(-0.876271\pi\) |
−0.762993 | + | 0.646407i | \(0.776271\pi\) | |||||||
\(294\) | −5.14501 | + | 2.62151i | −0.300063 | + | 0.152890i | ||||
\(295\) | −2.55370 | − | 2.83617i | −0.148682 | − | 0.165128i | ||||
\(296\) | 11.3179 | − | 5.03904i | 0.657838 | − | 0.292888i | ||||
\(297\) | 1.07446 | + | 2.10875i | 0.0623467 | + | 0.122362i | ||||
\(298\) | −20.8259 | − | 18.7517i | −1.20641 | − | 1.08626i | ||||
\(299\) | −3.30312 | − | 0.279783i | −0.191024 | − | 0.0161803i | ||||
\(300\) | −0.131974 | + | 0.620891i | −0.00761955 | + | 0.0358471i | ||||
\(301\) | 36.7994 | − | 5.82845i | 2.12108 | − | 0.335946i | ||||
\(302\) | 18.8282 | + | 1.97893i | 1.08344 | + | 0.113874i | ||||
\(303\) | 4.98036 | − | 3.61844i | 0.286114 | − | 0.207874i | ||||
\(304\) | 5.92308 | − | 22.1052i | 0.339712 | − | 1.26782i | ||||
\(305\) | −14.4325 | − | 3.86716i | −0.826400 | − | 0.221433i | ||||
\(306\) | 14.7121 | − | 18.1679i | 0.841033 | − | 1.03859i | ||||
\(307\) | −8.09548 | + | 12.4660i | −0.462034 | + | 0.711470i | −0.990504 | − | 0.137482i | \(-0.956099\pi\) |
0.528471 | + | 0.848952i | \(0.322766\pi\) | |||||||
\(308\) | 0.271334 | − | 1.27653i | 0.0154607 | − | 0.0727369i | ||||
\(309\) | 1.98947 | + | 3.44586i | 0.113177 | + | 0.196028i | ||||
\(310\) | 0.0502015 | + | 11.5983i | 0.00285125 | + | 0.658742i | ||||
\(311\) | 9.30048i | 0.527382i | 0.964607 | + | 0.263691i | \(0.0849399\pi\) | ||||
−0.964607 | + | 0.263691i | \(0.915060\pi\) | |||||||
\(312\) | 5.29795 | + | 4.11567i | 0.299937 | + | 0.233004i | ||||
\(313\) | −0.561167 | − | 2.64009i | −0.0317191 | − | 0.149226i | 0.959438 | − | 0.281919i | \(-0.0909710\pi\) |
−0.991157 | + | 0.132693i | \(0.957638\pi\) | |||||||
\(314\) | 1.07347 | + | 2.79648i | 0.0605794 | + | 0.157815i | ||||
\(315\) | −17.1254 | −0.964909 | ||||||||
\(316\) | 2.41852 | 0.136052 | ||||||||
\(317\) | −10.4684 | − | 27.2710i | −0.587962 | − | 1.53169i | −0.827883 | − | 0.560900i | \(-0.810455\pi\) |
0.239922 | − | 0.970792i | \(-0.422878\pi\) | |||||||
\(318\) | 2.80245 | + | 1.07576i | 0.157153 | + | 0.0603255i | ||||
\(319\) | −4.31970 | − | 5.33439i | −0.241857 | − | 0.298669i | ||||
\(320\) | −12.6338 | + | 8.20446i | −0.706249 | + | 0.458643i | ||||
\(321\) | 4.29555 | − | 9.64797i | 0.239754 | − | 0.538497i | ||||
\(322\) | 4.23921 | + | 0.901071i | 0.236242 | + | 0.0502147i | ||||
\(323\) | −53.1877 | + | 27.1005i | −2.95944 | + | 1.50791i | ||||
\(324\) | 2.84141 | + | 0.298645i | 0.157856 | + | 0.0165914i | ||||
\(325\) | 3.96003 | + | 6.54950i | 0.219663 | + | 0.363301i | ||||
\(326\) | 2.23608 | − | 6.88196i | 0.123845 | − | 0.381157i | ||||
\(327\) | −3.67838 | + | 9.58251i | −0.203415 | + | 0.529914i | ||||
\(328\) | 6.64313 | − | 20.4455i | 0.366806 | − | 1.12891i | ||||
\(329\) | −5.13066 | + | 1.66705i | −0.282862 | + | 0.0919076i | ||||
\(330\) | 0.551068 | − | 0.680512i | 0.0303353 | − | 0.0374609i | ||||
\(331\) | −1.19549 | − | 22.8114i | −0.0657102 | − | 1.25383i | −0.810185 | − | 0.586175i | \(-0.800633\pi\) |
0.744474 | − | 0.667651i | \(-0.232700\pi\) | |||||||
\(332\) | −4.09590 | + | 3.31679i | −0.224792 | + | 0.182033i | ||||
\(333\) | 1.66582 | + | 10.5176i | 0.0912866 | + | 0.576361i | ||||
\(334\) | 1.18614 | + | 1.63258i | 0.0649027 | + | 0.0893309i | ||||
\(335\) | −2.72810 | − | 1.57507i | −0.149052 | − | 0.0860551i | ||||
\(336\) | −4.57873 | − | 4.57873i | −0.249790 | − | 0.249790i | ||||
\(337\) | 21.1063 | − | 15.3346i | 1.14973 | − | 0.835330i | 0.161288 | − | 0.986907i | \(-0.448435\pi\) |
0.988445 | + | 0.151577i | \(0.0484351\pi\) | |||||||
\(338\) | 15.8964 | − | 1.47940i | 0.864652 | − | 0.0804685i | ||||
\(339\) | −1.92537 | + | 0.625590i | −0.104572 | + | 0.0339774i | ||||
\(340\) | 5.83167 | + | 1.56259i | 0.316266 | + | 0.0847433i | ||||
\(341\) | 1.73263 | − | 3.43718i | 0.0938274 | − | 0.186134i | ||||
\(342\) | 23.0743 | + | 13.3219i | 1.24771 | + | 0.720367i | ||||
\(343\) | −1.27739 | + | 2.50702i | −0.0689727 | + | 0.135367i | ||||
\(344\) | 13.4854 | + | 26.4666i | 0.727085 | + | 1.42698i | ||||
\(345\) | −0.736924 | − | 0.596750i | −0.0396747 | − | 0.0321279i | ||||
\(346\) | −7.02646 | − | 26.2231i | −0.377745 | − | 1.40976i | ||||
\(347\) | 1.28911i | 0.0692030i | 0.999401 | + | 0.0346015i | \(0.0110162\pi\) | ||||
−0.999401 | + | 0.0346015i | \(0.988984\pi\) | |||||||
\(348\) | 2.95273 | − | 0.310345i | 0.158283 | − | 0.0166362i | ||||
\(349\) | −5.67001 | − | 7.00188i | −0.303509 | − | 0.374802i | 0.602458 | − | 0.798150i | \(-0.294188\pi\) |
−0.905967 | + | 0.423348i | \(0.860855\pi\) | |||||||
\(350\) | −4.06990 | − | 9.14114i | −0.217545 | − | 0.488614i | ||||
\(351\) | −9.83715 | + | 7.45557i | −0.525068 | + | 0.397949i | ||||
\(352\) | 1.86528 | − | 0.196049i | 0.0994196 | − | 0.0104494i | ||||
\(353\) | 4.60977 | − | 2.99362i | 0.245353 | − | 0.159334i | −0.416104 | − | 0.909317i | \(-0.636605\pi\) |
0.661458 | + | 0.749983i | \(0.269938\pi\) | |||||||
\(354\) | 1.59782 | + | 0.519165i | 0.0849234 | + | 0.0275933i | ||||
\(355\) | −1.98656 | + | 2.73426i | −0.105435 | + | 0.145119i | ||||
\(356\) | −0.566062 | − | 1.11096i | −0.0300012 | − | 0.0588807i | ||||
\(357\) | −0.883974 | + | 16.8672i | −0.0467848 | + | 0.892708i | ||||
\(358\) | −3.21217 | − | 20.2808i | −0.169768 | − | 1.07188i | ||||
\(359\) | 2.43460 | + | 0.127592i | 0.128493 | + | 0.00673405i | 0.116474 | − | 0.993194i | \(-0.462841\pi\) |
0.0120191 | + | 0.999928i | \(0.496174\pi\) | |||||||
\(360\) | −4.21911 | − | 12.9851i | −0.222366 | − | 0.684374i | ||||
\(361\) | −28.8214 | − | 39.6693i | −1.51692 | − | 2.08786i | ||||
\(362\) | 4.61255 | − | 9.05263i | 0.242430 | − | 0.475796i | ||||
\(363\) | 5.84462 | − | 2.60219i | 0.306763 | − | 0.136580i | ||||
\(364\) | 6.80275 | + | 0.218723i | 0.356561 | + | 0.0114642i | ||||
\(365\) | 2.75492 | − | 6.18764i | 0.144199 | − | 0.323876i | ||||
\(366\) | 6.35337 | − | 1.70238i | 0.332096 | − | 0.0889849i | ||||
\(367\) | − | 28.9586i | − | 1.51162i | −0.654789 | − | 0.755812i | \(-0.727242\pi\) | ||
0.654789 | − | 0.755812i | \(-0.272758\pi\) | |||||||
\(368\) | 0.266642 | + | 2.53693i | 0.0138997 | + | 0.132246i | ||||
\(369\) | 15.4969 | + | 10.0638i | 0.806736 | + | 0.523900i | ||||
\(370\) | 7.07298 | − | 4.59325i | 0.367707 | − | 0.238792i | ||||
\(371\) | 14.9046 | − | 3.99368i | 0.773810 | − | 0.207342i | ||||
\(372\) | 0.838700 | + | 1.43826i | 0.0434846 | + | 0.0745702i | ||||
\(373\) | −16.1101 | + | 27.9034i | −0.834147 | + | 1.44479i | 0.0605754 | + | 0.998164i | \(0.480706\pi\) |
−0.894723 | + | 0.446622i | \(0.852627\pi\) | |||||||
\(374\) | 4.56624 | + | 4.11146i | 0.236115 | + | 0.212598i | ||||
\(375\) | −0.384470 | + | 7.33612i | −0.0198539 | + | 0.378836i | ||||
\(376\) | −2.52803 | − | 3.47953i | −0.130373 | − | 0.179443i | ||||
\(377\) | 23.4112 | − | 27.0824i | 1.20574 | − | 1.39481i | ||||
\(378\) | 13.9754 | − | 8.06867i | 0.718814 | − | 0.415008i | ||||
\(379\) | −12.5877 | + | 15.5445i | −0.646585 | + | 0.798466i | −0.990052 | − | 0.140698i | \(-0.955065\pi\) |
0.343467 | + | 0.939165i | \(0.388399\pi\) | |||||||
\(380\) | −0.719248 | + | 6.84319i | −0.0368966 | + | 0.351048i | ||||
\(381\) | 8.70940 | + | 0.915394i | 0.446196 | + | 0.0468971i | ||||
\(382\) | −1.78562 | − | 2.74962i | −0.0913605 | − | 0.140683i | ||||
\(383\) | −12.5446 | + | 4.81543i | −0.641000 | + | 0.246057i | −0.657088 | − | 0.753814i | \(-0.728212\pi\) |
0.0160880 | + | 0.999871i | \(0.494879\pi\) | |||||||
\(384\) | 1.51283 | − | 2.96910i | 0.0772014 | − | 0.151516i | ||||
\(385\) | 0.235573 | − | 4.49500i | 0.0120059 | − | 0.229086i | ||||
\(386\) | 4.86349 | + | 3.53353i | 0.247545 | + | 0.179852i | ||||
\(387\) | −24.9738 | + | 5.30834i | −1.26949 | + | 0.269838i | ||||
\(388\) | 1.03433 | − | 1.59273i | 0.0525102 | − | 0.0808586i | ||||
\(389\) | −0.507443 | + | 4.82800i | −0.0257284 | + | 0.244789i | 0.974097 | + | 0.226128i | \(0.0726069\pi\) |
−0.999826 | + | 0.0186608i | \(0.994060\pi\) | |||||||
\(390\) | 4.00036 | + | 2.20300i | 0.202566 | + | 0.111553i | ||||
\(391\) | 4.45229 | − | 4.94477i | 0.225162 | − | 0.250068i | ||||
\(392\) | −23.3729 | − | 3.70191i | −1.18051 | − | 0.186975i | ||||
\(393\) | −2.86099 | + | 0.929593i | −0.144318 | + | 0.0468917i | ||||
\(394\) | 2.74134 | − | 26.0821i | 0.138107 | − | 1.31400i | ||||
\(395\) | 8.23889 | − | 1.30491i | 0.414543 | − | 0.0656572i | ||||
\(396\) | −0.139900 | + | 0.883292i | −0.00703023 | + | 0.0443871i | ||||
\(397\) | 3.35623 | − | 3.35623i | 0.168444 | − | 0.168444i | −0.617851 | − | 0.786295i | \(-0.711997\pi\) |
0.786295 | + | 0.617851i | \(0.211997\pi\) | |||||||
\(398\) | −21.4048 | + | 5.73540i | −1.07293 | + | 0.287490i | ||||
\(399\) | −19.1447 | + | 2.01219i | −0.958434 | + | 0.100735i | ||||
\(400\) | 4.37680 | − | 3.94089i | 0.218840 | − | 0.197044i | ||||
\(401\) | 1.88467 | − | 0.0987715i | 0.0941160 | − | 0.00493241i | −0.00521981 | − | 0.999986i | \(-0.501662\pi\) |
0.0993358 | + | 0.995054i | \(0.468328\pi\) | |||||||
\(402\) | 1.38673 | 0.0691640 | ||||||||
\(403\) | 19.2388 | + | 5.73299i | 0.958355 | + | 0.285581i | ||||
\(404\) | 4.97930 | 0.247730 | ||||||||
\(405\) | 9.84065 | − | 0.515727i | 0.488986 | − | 0.0256267i | ||||
\(406\) | −34.7810 | + | 31.3170i | −1.72615 | + | 1.55424i | ||||
\(407\) | −2.78352 | + | 0.292560i | −0.137974 | + | 0.0145016i | ||||
\(408\) | −13.0071 | + | 3.48523i | −0.643946 | + | 0.172545i | ||||
\(409\) | 8.95307 | − | 8.95307i | 0.442701 | − | 0.442701i | −0.450218 | − | 0.892919i | \(-0.648654\pi\) |
0.892919 | + | 0.450218i | \(0.148654\pi\) | |||||||
\(410\) | 2.28928 | − | 14.4540i | 0.113060 | − | 0.713831i | ||||
\(411\) | −7.60641 | + | 1.20474i | −0.375197 | + | 0.0594253i | ||||
\(412\) | −0.336408 | + | 3.20071i | −0.0165737 | + | 0.157688i | ||||
\(413\) | 8.21336 | − | 2.66868i | 0.404153 | − | 0.131317i | ||||
\(414\) | −2.93332 | − | 0.464592i | −0.144165 | − | 0.0228334i | ||||
\(415\) | −12.1635 | + | 13.5089i | −0.597081 | + | 0.663125i | ||||
\(416\) | 2.72218 | + | 9.39524i | 0.133466 | + | 0.460639i | ||||
\(417\) | 0.224591 | − | 2.13684i | 0.0109983 | − | 0.104642i | ||||
\(418\) | −3.81407 | + | 5.87316i | −0.186552 | + | 0.287266i | ||||
\(419\) | −3.43602 | + | 0.730348i | −0.167860 | + | 0.0356798i | −0.291075 | − | 0.956700i | \(-0.594013\pi\) |
0.123215 | + | 0.992380i | \(0.460680\pi\) | |||||||
\(420\) | 1.57511 | + | 1.14438i | 0.0768574 | + | 0.0558402i | ||||
\(421\) | 0.560507 | − | 10.6951i | 0.0273174 | − | 0.521248i | −0.950362 | − | 0.311146i | \(-0.899287\pi\) |
0.977680 | − | 0.210102i | \(-0.0673795\pi\) | |||||||
\(422\) | −5.77167 | + | 11.3275i | −0.280960 | + | 0.551416i | ||||
\(423\) | 3.45126 | − | 1.32481i | 0.167806 | − | 0.0644147i | ||||
\(424\) | 6.70012 | + | 10.3173i | 0.325387 | + | 0.501052i | ||||
\(425\) | −15.2784 | − | 1.60582i | −0.741109 | − | 0.0778937i | ||||
\(426\) | 0.155518 | − | 1.47965i | 0.00753487 | − | 0.0716895i | ||||
\(427\) | 21.2777 | − | 26.2757i | 1.02970 | − | 1.27157i | ||||
\(428\) | 7.39779 | − | 4.27112i | 0.357586 | − | 0.206452i | ||||
\(429\) | −0.850986 | − | 1.25414i | −0.0410860 | − | 0.0605506i | ||||
\(430\) | 11.8854 | + | 16.3588i | 0.573164 | + | 0.788892i | ||||
\(431\) | −0.00224824 | + | 0.0428989i | −0.000108294 | + | 0.00206637i | −0.998683 | − | 0.0513027i | \(-0.983663\pi\) |
0.998575 | + | 0.0533691i | \(0.0169960\pi\) | |||||||
\(432\) | 7.05860 | + | 6.35560i | 0.339607 | + | 0.305784i | ||||
\(433\) | −11.3779 | + | 19.7071i | −0.546787 | + | 0.947063i | 0.451705 | + | 0.892167i | \(0.350816\pi\) |
−0.998492 | + | 0.0548956i | \(0.982517\pi\) | |||||||
\(434\) | −24.0225 | − | 10.5712i | −1.15312 | − | 0.507432i | ||||
\(435\) | 9.89130 | − | 2.65037i | 0.474251 | − | 0.127075i | ||||
\(436\) | −6.96281 | + | 4.52170i | −0.333458 | + | 0.216550i | ||||
\(437\) | 6.36003 | + | 4.13025i | 0.304241 | + | 0.197577i | ||||
\(438\) | 0.311669 | + | 2.96533i | 0.0148921 | + | 0.141689i | ||||
\(439\) | 19.4988i | 0.930627i | 0.885146 | + | 0.465314i | \(0.154058\pi\) | ||||
−0.885146 | + | 0.465314i | \(0.845942\pi\) | |||||||
\(440\) | 3.46629 | − | 0.928790i | 0.165249 | − | 0.0442783i | ||||
\(441\) | 8.27311 | − | 18.5817i | 0.393958 | − | 0.884844i | ||||
\(442\) | −16.9064 | + | 27.2231i | −0.804154 | + | 1.29487i | ||||
\(443\) | −7.60522 | + | 3.38606i | −0.361335 | + | 0.160877i | −0.579371 | − | 0.815064i | \(-0.696702\pi\) |
0.218036 | + | 0.975941i | \(0.430035\pi\) | |||||||
\(444\) | 0.549610 | − | 1.07867i | 0.0260833 | − | 0.0511914i | ||||
\(445\) | −2.52776 | − | 3.47916i | −0.119827 | − | 0.164928i | ||||
\(446\) | 5.98825 | + | 18.4299i | 0.283552 | + | 0.872682i | ||||
\(447\) | −13.8558 | − | 0.726150i | −0.655355 | − | 0.0343457i | ||||
\(448\) | −5.33249 | − | 33.6680i | −0.251936 | − | 1.59066i | ||||
\(449\) | 0.870346 | − | 16.6072i | 0.0410742 | − | 0.783742i | −0.897993 | − | 0.440009i | \(-0.854975\pi\) |
0.939068 | − | 0.343733i | \(-0.111691\pi\) | |||||||
\(450\) | 3.11298 | + | 6.10956i | 0.146747 | + | 0.288007i | ||||
\(451\) | −2.85466 | + | 3.92911i | −0.134421 | + | 0.185014i | ||||
\(452\) | −1.55733 | − | 0.506006i | −0.0732505 | − | 0.0238005i | ||||
\(453\) | 7.86109 | − | 5.10505i | 0.369346 | − | 0.239856i | ||||
\(454\) | 7.56106 | − | 0.794700i | 0.354858 | − | 0.0372971i | ||||
\(455\) | 23.2922 | − | 2.92532i | 1.09195 | − | 0.137141i | ||||
\(456\) | −6.24229 | − | 14.0204i | −0.292322 | − | 0.656566i | ||||
\(457\) | 8.78684 | + | 10.8508i | 0.411031 | + | 0.507581i | 0.940054 | − | 0.341027i | \(-0.110775\pi\) |
−0.529023 | + | 0.848608i | \(0.677441\pi\) | |||||||
\(458\) | 22.8772 | − | 2.40449i | 1.06898 | − | 0.112354i | ||||
\(459\) | − | 24.7756i | − | 1.15643i | ||||||
\(460\) | −0.198510 | − | 0.740849i | −0.00925557 | − | 0.0345423i | ||||
\(461\) | −4.39828 | − | 3.56166i | −0.204848 | − | 0.165883i | 0.521407 | − | 0.853308i | \(-0.325408\pi\) |
−0.726255 | + | 0.687425i | \(0.758741\pi\) | |||||||
\(462\) | 0.899572 | + | 1.76551i | 0.0418519 | + | 0.0821389i | ||||
\(463\) | −7.99052 | + | 15.6823i | −0.371351 | + | 0.728817i | −0.998755 | − | 0.0498763i | \(-0.984117\pi\) |
0.627404 | + | 0.778694i | \(0.284117\pi\) | |||||||
\(464\) | −23.8569 | − | 13.7738i | −1.10753 | − | 0.639431i | ||||
\(465\) | 3.63312 | + | 4.44703i | 0.168482 | + | 0.206226i | ||||
\(466\) | −14.2138 | − | 3.80858i | −0.658443 | − | 0.176429i | ||||
\(467\) | 27.2934 | − | 8.86817i | 1.26299 | − | 0.410370i | 0.400430 | − | 0.916327i | \(-0.368861\pi\) |
0.862558 | + | 0.505957i | \(0.168861\pi\) | |||||||
\(468\) | −4.66314 | + | 0.0942957i | −0.215554 | + | 0.00435882i | ||||
\(469\) | 5.76690 | − | 4.18990i | 0.266291 | − | 0.193472i | ||||
\(470\) | −2.07026 | − | 2.07026i | −0.0954940 | − | 0.0954940i | ||||
\(471\) | 1.28436 | + | 0.741527i | 0.0591803 | + | 0.0341677i | ||||
\(472\) | 4.04697 | + | 5.57017i | 0.186277 | + | 0.256388i | ||||
\(473\) | −1.04977 | − | 6.62801i | −0.0482686 | − | 0.304756i | ||||
\(474\) | −2.85375 | + | 2.31092i | −0.131077 | + | 0.106144i | ||||
\(475\) | −0.916342 | − | 17.4849i | −0.0420447 | − | 0.802260i | ||||
\(476\) | −8.59759 | + | 10.6171i | −0.394070 | + | 0.486636i | ||||
\(477\) | −10.0564 | + | 3.26752i | −0.460451 | + | 0.149610i | ||||
\(478\) | −3.79896 | + | 11.6920i | −0.173760 | + | 0.534779i | ||||
\(479\) | −5.64919 | + | 14.7167i | −0.258118 | + | 0.672421i | 0.741880 | + | 0.670533i | \(0.233934\pi\) |
−0.999998 | + | 0.00188834i | \(0.999399\pi\) | |||||||
\(480\) | −0.864647 | + | 2.66111i | −0.0394655 | + | 0.121462i | ||||
\(481\) | −4.06226 | − | 14.0203i | −0.185223 | − | 0.639273i | ||||
\(482\) | 11.8411 | + | 1.24455i | 0.539347 | + | 0.0566876i | ||||
\(483\) | 1.91186 | − | 0.974144i | 0.0869928 | − | 0.0443251i | ||||
\(484\) | 5.06169 | + | 1.07590i | 0.230077 | + | 0.0489044i | ||||
\(485\) | 2.66418 | − | 5.98385i | 0.120974 | − | 0.271712i | ||||
\(486\) | −14.2160 | + | 9.23196i | −0.644850 | + | 0.418770i | ||||
\(487\) | 5.97695 | + | 7.38092i | 0.270841 | + | 0.334461i | 0.894361 | − | 0.447347i | \(-0.147631\pi\) |
−0.623519 | + | 0.781808i | \(0.714298\pi\) | |||||||
\(488\) | 25.1652 | + | 9.66002i | 1.13918 | + | 0.437289i | ||||
\(489\) | −1.28390 | − | 3.34467i | −0.0580600 | − | 0.151251i | ||||
\(490\) | −16.1091 | −0.727733 | ||||||||
\(491\) | −11.4902 | −0.518547 | −0.259273 | − | 0.965804i | \(-0.583483\pi\) | ||||
−0.259273 | + | 0.965804i | \(0.583483\pi\) | |||||||
\(492\) | −0.752824 | − | 1.96117i | −0.0339399 | − | 0.0884165i | ||||
\(493\) | 14.9396 | + | 70.2855i | 0.672848 | + | 3.16550i | ||||
\(494\) | −33.6587 | − | 14.1776i | −1.51438 | − | 0.637878i | ||||
\(495\) | 3.08449i | 0.138638i | ||||||||
\(496\) | 1.54823 | − | 15.3701i | 0.0695177 | − | 0.690139i | ||||
\(497\) | −3.82391 | − | 6.62321i | −0.171526 | − | 0.297092i | ||||
\(498\) | 1.66375 | − | 7.82735i | 0.0745546 | − | 0.350752i | ||||
\(499\) | −11.9463 | + | 18.3957i | −0.534789 | + | 0.823503i | −0.998031 | − | 0.0627294i | \(-0.980020\pi\) |
0.463242 | + | 0.886232i | \(0.346686\pi\) | |||||||
\(500\) | −3.73938 | + | 4.61775i | −0.167230 | + | 0.206512i | ||||
\(501\) | 0.965067 | + | 0.258589i | 0.0431160 | + | 0.0115529i | ||||
\(502\) | 1.75366 | − | 6.54476i | 0.0782698 | − | 0.292107i | ||||
\(503\) | 22.9307 | − | 16.6602i | 1.02243 | − | 0.742840i | 0.0556513 | − | 0.998450i | \(-0.482276\pi\) |
0.966780 | + | 0.255611i | \(0.0822765\pi\) | |||||||
\(504\) | 30.7262 | + | 3.22945i | 1.36865 | + | 0.143851i | ||||
\(505\) | 16.9624 | − | 2.68658i | 0.754818 | − | 0.119551i | ||||
\(506\) | 0.162293 | − | 0.763531i | 0.00721483 | − | 0.0339431i | ||||
\(507\) | 5.65549 | − | 5.52222i | 0.251169 | − | 0.245250i | ||||
\(508\) | 5.26396 | + | 4.73969i | 0.233551 | + | 0.210290i | ||||
\(509\) | 8.45087 | + | 16.5858i | 0.374578 | + | 0.735151i | 0.998942 | − | 0.0459823i | \(-0.0146418\pi\) |
−0.624364 | + | 0.781134i | \(0.714642\pi\) | |||||||
\(510\) | −8.37418 | + | 3.72843i | −0.370815 | + | 0.165097i | ||||
\(511\) | 10.2556 | + | 11.3900i | 0.453682 | + | 0.503865i | ||||
\(512\) | 21.8368 | − | 11.1264i | 0.965061 | − | 0.491723i | ||||
\(513\) | 27.8894 | − | 4.41725i | 1.23135 | − | 0.195026i | ||||
\(514\) | −11.4531 | + | 17.6363i | −0.505176 | + | 0.777903i | ||||
\(515\) | 0.580941 | + | 11.0850i | 0.0255993 | + | 0.488464i | ||||
\(516\) | 2.65168 | + | 1.18060i | 0.116734 | + | 0.0519732i | ||||
\(517\) | 0.300256 | + | 0.924092i | 0.0132052 | + | 0.0406415i | ||||
\(518\) | 2.98538 | + | 18.8489i | 0.131170 | + | 0.828175i | ||||
\(519\) | −10.8741 | − | 7.90051i | −0.477321 | − | 0.346794i | ||||
\(520\) | 7.95645 | + | 16.9402i | 0.348913 | + | 0.742877i | ||||
\(521\) | 9.43583 | + | 16.3433i | 0.413391 | + | 0.716015i | 0.995258 | − | 0.0972692i | \(-0.0310108\pi\) |
−0.581867 | + | 0.813284i | \(0.697677\pi\) | |||||||
\(522\) | 22.6784 | − | 22.6784i | 0.992608 | − | 0.992608i | ||||
\(523\) | 10.8772 | − | 24.4307i | 0.475628 | − | 1.06828i | −0.503307 | − | 0.864108i | \(-0.667883\pi\) |
0.978935 | − | 0.204171i | \(-0.0654499\pi\) | |||||||
\(524\) | −2.31410 | − | 0.751897i | −0.101092 | − | 0.0328468i | ||||
\(525\) | −4.41415 | − | 2.24912i | −0.192649 | − | 0.0981597i | ||||
\(526\) | −0.446797 | − | 1.66747i | −0.0194813 | − | 0.0727051i | ||||
\(527\) | −32.4963 | + | 23.8255i | −1.41556 | + | 1.03786i | ||||
\(528\) | −0.824683 | + | 0.824683i | −0.0358897 | + | 0.0358897i | ||||
\(529\) | 21.6706 | + | 4.60622i | 0.942199 | + | 0.200271i | ||||
\(530\) | 5.60353 | + | 6.22335i | 0.243402 | + | 0.270325i | ||||
\(531\) | −5.52491 | + | 2.12081i | −0.239761 | + | 0.0920355i | ||||
\(532\) | −13.4844 | − | 7.78520i | −0.584622 | − | 0.337531i | ||||
\(533\) | −22.7963 | − | 11.0405i | −0.987415 | − | 0.478219i | ||||
\(534\) | 1.72946 | + | 0.770006i | 0.0748411 | + | 0.0333214i | ||||
\(535\) | 22.8967 | − | 18.5414i | 0.989912 | − | 0.801615i | ||||
\(536\) | 4.59769 | + | 3.34041i | 0.198590 | + | 0.144284i | ||||
\(537\) | −7.55502 | − | 6.80257i | −0.326023 | − | 0.293552i | ||||
\(538\) | 15.7191 | + | 12.7291i | 0.677700 | + | 0.548791i | ||||
\(539\) | 4.76343 | + | 2.42709i | 0.205175 | + | 0.104542i | ||||
\(540\) | −2.39513 | − | 1.55542i | −0.103070 | − | 0.0669345i | ||||
\(541\) | 10.4295 | + | 12.8794i | 0.448400 | + | 0.553727i | 0.950356 | − | 0.311166i | \(-0.100719\pi\) |
−0.501956 | + | 0.864893i | \(0.667386\pi\) | |||||||
\(542\) | −12.9868 | + | 11.6933i | −0.557830 | + | 0.502272i | ||||
\(543\) | −1.04585 | − | 4.92033i | −0.0448817 | − | 0.211152i | ||||
\(544\) | −18.3299 | − | 7.03619i | −0.785888 | − | 0.301674i | ||||
\(545\) | −21.2797 | + | 19.1604i | −0.911524 | + | 0.820740i | ||||
\(546\) | −8.23594 | + | 6.24201i | −0.352466 | + | 0.267133i | ||||
\(547\) | 3.25056 | + | 30.9270i | 0.138984 | + | 1.32234i | 0.812408 | + | 0.583089i | \(0.198156\pi\) |
−0.673424 | + | 0.739256i | \(0.735177\pi\) | |||||||
\(548\) | −5.55017 | − | 2.82795i | −0.237092 | − | 0.120804i | ||||
\(549\) | −13.6185 | + | 18.7443i | −0.581224 | + | 0.799987i | ||||
\(550\) | −1.64643 | + | 0.733036i | −0.0702039 | + | 0.0312568i | ||||
\(551\) | −76.4555 | + | 29.3485i | −3.25711 | + | 1.25029i | ||||
\(552\) | 1.20964 | + | 1.20964i | 0.0514859 | + | 0.0514859i | ||||
\(553\) | −4.88541 | + | 18.2326i | −0.207749 | + | 0.775329i | ||||
\(554\) | 6.30404 | + | 0.998463i | 0.267833 | + | 0.0424206i | ||||
\(555\) | 1.29030 | − | 3.97112i | 0.0547700 | − | 0.168565i | ||||
\(556\) | 1.16288 | − | 1.29151i | 0.0493171 | − | 0.0547722i | ||||
\(557\) | 3.68225 | − | 13.7423i | 0.156022 | − | 0.582282i | −0.842994 | − | 0.537923i | \(-0.819209\pi\) |
0.999016 | − | 0.0443584i | \(-0.0141244\pi\) | |||||||
\(558\) | 16.8184 | + | 6.37258i | 0.711978 | + | 0.269773i | ||||
\(559\) | 33.0599 | − | 11.4858i | 1.39828 | − | 0.485797i | ||||
\(560\) | −5.58223 | − | 17.1803i | −0.235892 | − | 0.726002i | ||||
\(561\) | 3.03799 | + | 0.159214i | 0.128264 | + | 0.00672202i | ||||
\(562\) | −18.6960 | − | 8.32400i | −0.788643 | − | 0.351127i | ||||
\(563\) | 34.4934 | − | 19.9148i | 1.45372 | − | 0.839308i | 0.455034 | − | 0.890474i | \(-0.349627\pi\) |
0.998690 | + | 0.0511655i | \(0.0162936\pi\) | |||||||
\(564\) | −0.405957 | − | 0.108776i | −0.0170939 | − | 0.00458029i | ||||
\(565\) | −5.57818 | − | 0.883497i | −0.234676 | − | 0.0371690i | ||||
\(566\) | −5.64915 | + | 14.7165i | −0.237452 | + | 0.618583i | ||||
\(567\) | −7.99106 | + | 20.8174i | −0.335593 | + | 0.874250i | ||||
\(568\) | 4.07986 | − | 4.53114i | 0.171187 | − | 0.190123i | ||||
\(569\) | 15.9059 | − | 11.5563i | 0.666810 | − | 0.484465i | −0.202146 | − | 0.979355i | \(-0.564792\pi\) |
0.868956 | + | 0.494890i | \(0.164792\pi\) | |||||||
\(570\) | −5.69005 | − | 8.76191i | −0.238330 | − | 0.366996i | ||||
\(571\) | −22.8778 | − | 25.4084i | −0.957407 | − | 1.06331i | −0.997942 | − | 0.0641306i | \(-0.979573\pi\) |
0.0405340 | − | 0.999178i | \(-0.487094\pi\) | |||||||
\(572\) | 0.0393947 | − | 1.22526i | 0.00164717 | − | 0.0512305i | ||||
\(573\) | −1.54377 | − | 0.501603i | −0.0644921 | − | 0.0209548i | ||||
\(574\) | 27.7725 | + | 18.0357i | 1.15920 | + | 0.752794i | ||||
\(575\) | 0.793803 | + | 1.78291i | 0.0331039 | + | 0.0743525i | ||||
\(576\) | 4.85663 | + | 22.8487i | 0.202360 | + | 0.952027i | ||||
\(577\) | −4.25993 | + | 0.223253i | −0.177343 | + | 0.00929415i | −0.140801 | − | 0.990038i | \(-0.544968\pi\) |
−0.0365423 | + | 0.999332i | \(0.511634\pi\) | |||||||
\(578\) | −15.5694 | − | 40.5596i | −0.647601 | − | 1.68706i | ||||
\(579\) | 2.97229 | − | 0.155771i | 0.123524 | − | 0.00647362i | ||||
\(580\) | 7.73262 | + | 2.96828i | 0.321080 | + | 0.123251i | ||||
\(581\) | −16.7307 | − | 37.5779i | −0.694108 | − | 1.55899i | ||||
\(582\) | 0.301404 | + | 2.86767i | 0.0124936 | + | 0.118869i | ||||
\(583\) | −0.719310 | − | 2.68450i | −0.0297908 | − | 0.111181i | ||||
\(584\) | −6.10967 | + | 10.5823i | −0.252820 | + | 0.437897i | ||||
\(585\) | −15.8345 | + | 2.83723i | −0.654677 | + | 0.117305i | ||||
\(586\) | 35.1496 | − | 7.47129i | 1.45202 | − | 0.308636i | ||||
\(587\) | 0.365939 | + | 6.98253i | 0.0151039 | + | 0.288200i | 0.995730 | + | 0.0923116i | \(0.0294256\pi\) |
−0.980626 | + | 0.195888i | \(0.937241\pi\) | |||||||
\(588\) | −2.00261 | + | 1.15621i | −0.0825864 | + | 0.0476813i | ||||
\(589\) | −32.6137 | − | 32.3326i | −1.34383 | − | 1.33224i | ||||
\(590\) | 3.31416 | + | 3.31416i | 0.136442 | + | 0.136442i | ||||
\(591\) | −7.07185 | − | 10.8897i | −0.290897 | − | 0.447942i | ||||
\(592\) | −10.0083 | + | 5.09949i | −0.411339 | + | 0.209588i | ||||
\(593\) | 4.18717 | − | 26.4368i | 0.171947 | − | 1.08563i | −0.739182 | − | 0.673506i | \(-0.764788\pi\) |
0.911128 | − | 0.412122i | \(-0.135212\pi\) | |||||||
\(594\) | −1.45326 | − | 2.51713i | −0.0596281 | − | 0.103279i | ||||
\(595\) | −23.5599 | + | 40.8070i | −0.965863 | + | 1.67292i | ||||
\(596\) | −8.72156 | − | 7.06258i | −0.357249 | − | 0.289295i | ||||
\(597\) | −6.44885 | + | 8.87609i | −0.263934 | + | 0.363274i | ||||
\(598\) | 4.06894 | + | 0.130825i | 0.166391 | + | 0.00534985i | ||||
\(599\) | −19.9583 | − | 4.24226i | −0.815473 | − | 0.173334i | −0.218750 | − | 0.975781i | \(-0.570198\pi\) |
−0.596724 | + | 0.802447i | \(0.703531\pi\) | |||||||
\(600\) | 0.617867 | − | 3.90106i | 0.0252243 | − | 0.159260i | ||||
\(601\) | 3.04179 | − | 14.3105i | 0.124077 | − | 0.583738i | −0.871549 | − | 0.490309i | \(-0.836884\pi\) |
0.995626 | − | 0.0934288i | \(-0.0297827\pi\) | |||||||
\(602\) | −44.7563 | + | 9.51325i | −1.82413 | + | 0.387731i | ||||
\(603\) | −3.79618 | + | 3.07408i | −0.154592 | + | 0.125186i | ||||
\(604\) | 7.57114 | + | 0.396787i | 0.308065 | + | 0.0161450i | ||||
\(605\) | 17.8236 | + | 0.934095i | 0.724632 | + | 0.0379764i | ||||
\(606\) | −5.87536 | + | 4.75777i | −0.238670 | + | 0.193271i | ||||
\(607\) | 43.3120 | − | 9.20625i | 1.75798 | − | 0.373670i | 0.787777 | − | 0.615961i | \(-0.211232\pi\) |
0.970204 | + | 0.242290i | \(0.0778987\pi\) | |||||||
\(608\) | 4.65246 | − | 21.8881i | 0.188682 | − | 0.887679i | ||||
\(609\) | −3.62492 | + | 22.8868i | −0.146889 | + | 0.927420i | ||||
\(610\) | 17.9486 | + | 3.81509i | 0.726716 | + | 0.154468i | ||||
\(611\) | −4.46772 | + | 2.39140i | −0.180745 | + | 0.0967458i | ||||
\(612\) | 5.50278 | − | 7.57393i | 0.222437 | − | 0.306158i | ||||
\(613\) | 21.4817 | + | 17.3955i | 0.867636 | + | 0.702598i | 0.955961 | − | 0.293494i | \(-0.0948181\pi\) |
−0.0883251 | + | 0.996092i | \(0.528151\pi\) | |||||||
\(614\) | 9.12711 | − | 15.8086i | 0.368340 | − | 0.637984i | ||||
\(615\) | −3.62271 | − | 6.27472i | −0.146082 | − | 0.253021i | ||||
\(616\) | −1.27031 | + | 8.02042i | −0.0511823 | + | 0.323152i | ||||
\(617\) | 24.9523 | − | 12.7138i | 1.00454 | − | 0.511839i | 0.127287 | − | 0.991866i | \(-0.459373\pi\) |
0.877254 | + | 0.480027i | \(0.159373\pi\) | |||||||
\(618\) | −2.66137 | − | 4.09814i | −0.107056 | − | 0.164852i | ||||
\(619\) | −9.19259 | − | 9.19259i | −0.369481 | − | 0.369481i | 0.497807 | − | 0.867288i | \(-0.334139\pi\) |
−0.867288 | + | 0.497807i | \(0.834139\pi\) | |||||||
\(620\) | 0.263161 | + | 4.63729i | 0.0105688 | + | 0.186238i | ||||
\(621\) | −2.72579 | + | 1.57373i | −0.109382 | + | 0.0631518i | ||||
\(622\) | −0.597771 | − | 11.4061i | −0.0239684 | − | 0.457345i | ||||
\(623\) | 9.51869 | − | 2.02326i | 0.381358 | − | 0.0810602i | ||||
\(624\) | −4.99216 | − | 3.47501i | −0.199846 | − | 0.139112i | ||||
\(625\) | −4.94019 | + | 8.55665i | −0.197607 | + | 0.342266i | ||||
\(626\) | 0.857904 | + | 3.20174i | 0.0342888 | + | 0.127967i | ||||
\(627\) | 0.362419 | + | 3.44819i | 0.0144736 | + | 0.137707i | ||||
\(628\) | 0.487906 | + | 1.09585i | 0.0194695 | + | 0.0437293i | ||||
\(629\) | 27.3534 | + | 10.5000i | 1.09065 | + | 0.418661i | ||||
\(630\) | 21.0027 | − | 1.10071i | 0.836768 | − | 0.0438531i | ||||
\(631\) | −12.5711 | − | 32.7487i | −0.500446 | − | 1.30371i | −0.918549 | − | 0.395307i | \(-0.870638\pi\) |
0.418103 | − | 0.908399i | \(-0.362695\pi\) | |||||||
\(632\) | −15.0281 | + | 0.787592i | −0.597788 | + | 0.0313287i | ||||
\(633\) | 1.30867 | + | 6.15680i | 0.0520149 | + | 0.244711i | ||||
\(634\) | 14.5912 | + | 32.7724i | 0.579492 | + | 1.30156i | ||||
\(635\) | 20.4894 | + | 13.3060i | 0.813099 | + | 0.528032i | ||||
\(636\) | 1.14328 | + | 0.371475i | 0.0453341 | + | 0.0147299i | ||||
\(637\) | −8.07811 | + | 26.6860i | −0.320066 | + | 1.05734i | ||||
\(638\) | 5.64056 | + | 6.26448i | 0.223312 | + | 0.248013i | ||||
\(639\) | 2.85434 | + | 4.39530i | 0.112916 | + | 0.173875i | ||||
\(640\) | 7.52085 | − | 5.46422i | 0.297288 | − | 0.215992i | ||||
\(641\) | −22.4550 | + | 24.9388i | −0.886918 | + | 0.985022i | −0.999963 | − | 0.00856737i | \(-0.997273\pi\) |
0.113045 | + | 0.993590i | \(0.463940\pi\) | |||||||
\(642\) | −4.64798 | + | 12.1084i | −0.183441 | + | 0.477880i | ||||
\(643\) | 4.32666 | − | 11.2713i | 0.170627 | − | 0.444498i | −0.821427 | − | 0.570314i | \(-0.806821\pi\) |
0.992054 | + | 0.125816i | \(0.0401548\pi\) | |||||||
\(644\) | 1.71420 | + | 0.271503i | 0.0675490 | + | 0.0106987i | ||||
\(645\) | 9.67017 | + | 2.59111i | 0.380763 | + | 0.102025i | ||||
\(646\) | 63.4878 | − | 36.6547i | 2.49789 | − | 1.44216i | ||||
\(647\) | −14.1729 | − | 6.31018i | −0.557194 | − | 0.248079i | 0.108765 | − | 0.994068i | \(-0.465311\pi\) |
−0.665958 | + | 0.745989i | \(0.731977\pi\) | |||||||
\(648\) | −17.7532 | − | 0.930405i | −0.697411 | − | 0.0365498i | ||||
\(649\) | −0.480661 | − | 1.47932i | −0.0188676 | − | 0.0580685i | ||||
\(650\) | −5.27755 | − | 7.77781i | −0.207003 | − | 0.305071i | ||||
\(651\) | −12.5368 | + | 3.41746i | −0.491358 | + | 0.133941i | ||||
\(652\) | 0.750005 | − | 2.79906i | 0.0293724 | − | 0.109619i | ||||
\(653\) | 3.95018 | − | 4.38712i | 0.154583 | − | 0.171681i | −0.660879 | − | 0.750492i | \(-0.729816\pi\) |
0.815462 | + | 0.578811i | \(0.196483\pi\) | |||||||
\(654\) | 3.89528 | − | 11.9885i | 0.152318 | − | 0.468786i | ||||
\(655\) | −8.28887 | − | 1.31283i | −0.323873 | − | 0.0512964i | ||||
\(656\) | −5.04467 | + | 18.8270i | −0.196961 | + | 0.735069i | ||||
\(657\) | −7.42668 | − | 7.42668i | −0.289743 | − | 0.289743i | ||||
\(658\) | 6.18511 | − | 2.37424i | 0.241121 | − | 0.0925576i | ||||
\(659\) | 11.4044 | − | 5.07758i | 0.444254 | − | 0.197794i | −0.172403 | − | 0.985026i | \(-0.555153\pi\) |
0.616657 | + | 0.787232i | \(0.288487\pi\) | |||||||
\(660\) | 0.206117 | − | 0.283696i | 0.00802309 | − | 0.0110428i | ||||
\(661\) | 40.0391 | + | 20.4010i | 1.55734 | + | 0.793506i | 0.999340 | − | 0.0363335i | \(-0.0115679\pi\) |
0.558003 | + | 0.829839i | \(0.311568\pi\) | |||||||
\(662\) | 2.93231 | + | 27.8991i | 0.113968 | + | 1.08433i | ||||
\(663\) | 1.97711 | + | 15.7422i | 0.0767845 | + | 0.611377i | ||||
\(664\) | 24.3709 | − | 21.9437i | 0.945775 | − | 0.851580i | ||||
\(665\) | −50.1362 | − | 19.2455i | −1.94420 | − | 0.746308i | ||||
\(666\) | −2.71897 | − | 12.7918i | −0.105358 | − | 0.495671i | ||||
\(667\) | 6.78378 | − | 6.10815i | 0.262669 | − | 0.236508i | ||||
\(668\) | 0.508570 | + | 0.628032i | 0.0196772 | + | 0.0242993i | ||||
\(669\) | 8.04646 | + | 5.22543i | 0.311094 | + | 0.202027i | ||||
\(670\) | 3.44698 | + | 1.75633i | 0.133169 | + | 0.0678528i | ||||
\(671\) | −4.73257 | − | 3.83236i | −0.182699 | − | 0.147947i | ||||
\(672\) | −4.70528 | − | 4.23665i | −0.181510 | − | 0.163432i | ||||
\(673\) | 8.13560 | + | 5.91086i | 0.313605 | + | 0.227847i | 0.733442 | − | 0.679752i | \(-0.237913\pi\) |
−0.419837 | + | 0.907599i | \(0.637913\pi\) | |||||||
\(674\) | −24.8992 | + | 20.1630i | −0.959083 | + | 0.776650i | ||||
\(675\) | 6.63868 | + | 2.95573i | 0.255523 | + | 0.113766i | ||||
\(676\) | 6.32620 | − | 0.924797i | 0.243315 | − | 0.0355691i | ||||
\(677\) | −24.3025 | − | 14.0310i | −0.934019 | − | 0.539256i | −0.0459389 | − | 0.998944i | \(-0.514628\pi\) |
−0.888081 | + | 0.459688i | \(0.847961\pi\) | |||||||
\(678\) | 2.32107 | − | 0.890976i | 0.0891402 | − | 0.0342177i | ||||
\(679\) | 9.91784 | + | 11.0149i | 0.380612 | + | 0.422712i | ||||
\(680\) | −36.7456 | − | 7.81051i | −1.40913 | − | 0.299520i | ||||
\(681\) | 2.66164 | − | 2.66164i | 0.101994 | − | 0.101994i | ||||
\(682\) | −1.90399 | + | 4.32674i | −0.0729076 | + | 0.165679i | ||||
\(683\) | 7.72632 | + | 28.8350i | 0.295639 | + | 1.10334i | 0.940708 | + | 0.339217i | \(0.110162\pi\) |
−0.645069 | + | 0.764124i | \(0.723171\pi\) | |||||||
\(684\) | 9.50692 | + | 4.84402i | 0.363506 | + | 0.185216i | ||||
\(685\) | −20.4330 | − | 6.63907i | −0.780703 | − | 0.253666i | ||||
\(686\) | 1.40546 | − | 3.15672i | 0.0536609 | − | 0.120524i | ||||
\(687\) | 8.05321 | − | 8.05321i | 0.307249 | − | 0.307249i | ||||
\(688\) | −13.4658 | − | 23.3235i | −0.513380 | − | 0.889200i | ||||
\(689\) | 13.1195 | − | 6.16194i | 0.499812 | − | 0.234751i | ||||
\(690\) | 0.942122 | + | 0.684491i | 0.0358660 | + | 0.0260581i | ||||
\(691\) | 2.14143 | + | 13.5205i | 0.0814638 | + | 0.514342i | 0.994352 | + | 0.106133i | \(0.0338468\pi\) |
−0.912888 | + | 0.408210i | \(0.866153\pi\) | |||||||
\(692\) | −3.35958 | − | 10.3397i | −0.127712 | − | 0.393057i | ||||
\(693\) | −6.37632 | − | 2.83892i | −0.242216 | − | 0.107842i | ||||
\(694\) | −0.0828550 | − | 1.58097i | −0.00314513 | − | 0.0600127i | ||||
\(695\) | 3.26462 | − | 5.02707i | 0.123834 | − | 0.190688i | ||||
\(696\) | −18.2466 | + | 2.88998i | −0.691635 | + | 0.109544i | ||||
\(697\) | 45.2998 | − | 23.0814i | 1.71585 | − | 0.874271i | ||||
\(698\) | 7.40375 | + | 8.22270i | 0.280236 | + | 0.311234i | ||||
\(699\) | −6.65570 | + | 2.96331i | −0.251742 | + | 0.112083i | ||||
\(700\) | −1.81919 | − | 3.57037i | −0.0687590 | − | 0.134947i | ||||
\(701\) | 11.6698 | + | 10.5076i | 0.440763 | + | 0.396865i | 0.859412 | − | 0.511283i | \(-0.170830\pi\) |
−0.418649 | + | 0.908148i | \(0.637496\pi\) | |||||||
\(702\) | 11.5851 | − | 9.77580i | 0.437252 | − | 0.368964i | ||||
\(703\) | −6.94278 | + | 32.6632i | −0.261852 | + | 1.23192i | ||||
\(704\) | −6.06400 | + | 0.960444i | −0.228546 | + | 0.0361981i | ||||
\(705\) | −1.44162 | − | 0.151520i | −0.0542945 | − | 0.00570658i | ||||
\(706\) | −5.46103 | + | 3.96767i | −0.205529 | + | 0.149325i | ||||
\(707\) | −10.0582 | + | 37.5377i | −0.378277 | + | 1.41175i | ||||
\(708\) | 0.649873 | + | 0.174133i | 0.0244237 | + | 0.00654431i | ||||
\(709\) | 3.78946 | − | 4.67960i | 0.142316 | − | 0.175746i | −0.701004 | − | 0.713157i | \(-0.747264\pi\) |
0.843320 | + | 0.537412i | \(0.180598\pi\) | |||||||
\(710\) | 2.26058 | − | 3.48099i | 0.0848380 | − | 0.130639i | ||||
\(711\) | 2.68932 | − | 12.6523i | 0.100857 | − | 0.474497i | ||||
\(712\) | 3.87917 | + | 6.71892i | 0.145378 | + | 0.251802i | ||||
\(713\) | 4.68541 | + | 2.06183i | 0.175470 | + | 0.0772160i | ||||
\(714\) | − | 20.7428i | − | 0.776281i | ||||||
\(715\) | −0.526885 | − | 4.19519i | −0.0197044 | − | 0.156891i | ||||
\(716\) | −1.70965 | − | 8.04326i | −0.0638925 | − | 0.300591i | ||||
\(717\) | 2.18126 | + | 5.68238i | 0.0814607 | + | 0.212212i | ||||
\(718\) | −2.99400 | −0.111735 | ||||||||
\(719\) | 23.7169 | 0.884492 | 0.442246 | − | 0.896894i | \(-0.354182\pi\) | ||||
0.442246 | + | 0.896894i | \(0.354182\pi\) | |||||||
\(720\) | 4.43622 | + | 11.5568i | 0.165328 | + | 0.430695i | ||||
\(721\) | −23.4498 | − | 9.00154i | −0.873317 | − | 0.335235i | ||||
\(722\) | 37.8964 | + | 46.7982i | 1.41036 | + | 1.74165i | ||||
\(723\) | 4.94384 | − | 3.21057i | 0.183864 | − | 0.119402i | ||||
\(724\) | 1.65489 | − | 3.71694i | 0.0615035 | − | 0.138139i | ||||
\(725\) | −20.6155 | − | 4.38195i | −0.765639 | − | 0.162742i | ||||
\(726\) | −7.00061 | + | 3.56699i | −0.259817 | + | 0.132383i | ||||
\(727\) | −5.11061 | − | 0.537147i | −0.189542 | − | 0.0199217i | 0.00928172 | − | 0.999957i | \(-0.497045\pi\) |
−0.198824 | + | 0.980035i | \(0.563712\pi\) | |||||||
\(728\) | −42.3421 | + | 0.856219i | −1.56930 | + | 0.0317336i | ||||
\(729\) | 2.79222 | − | 8.59356i | 0.103415 | − | 0.318280i | ||||
\(730\) | −2.98094 | + | 7.76562i | −0.110330 | + | 0.287418i | ||||
\(731\) | −21.7082 | + | 66.8111i | −0.802908 | + | 2.47110i | ||||
\(732\) | 2.50512 | − | 0.813963i | 0.0925919 | − | 0.0300849i | ||||
\(733\) | −13.9593 | + | 17.2384i | −0.515600 | + | 0.636713i | −0.966746 | − | 0.255737i | \(-0.917682\pi\) |
0.451146 | + | 0.892450i | \(0.351015\pi\) | |||||||
\(734\) | 1.86126 | + | 35.5149i | 0.0687002 | + | 1.31088i | ||||
\(735\) | −6.19825 | + | 5.01924i | −0.228626 | + | 0.185137i | ||||
\(736\) | 0.390191 | + | 2.46357i | 0.0143826 | + | 0.0908085i | ||||
\(737\) | −0.754651 | − | 1.03869i | −0.0277979 | − | 0.0382605i | ||||
\(738\) | −19.6523 | − | 11.3462i | −0.723410 | − | 0.417661i | ||||
\(739\) | 19.8345 | + | 19.8345i | 0.729625 | + | 0.729625i | 0.970545 | − | 0.240920i | \(-0.0774491\pi\) |
−0.240920 | + | 0.970545i | \(0.577449\pi\) | |||||||
\(740\) | 2.73231 | − | 1.98514i | 0.100442 | − | 0.0729753i | ||||
\(741\) | −17.3682 | + | 5.03228i | −0.638037 | + | 0.184865i | ||||
\(742\) | −18.0224 | + | 5.85584i | −0.661624 | + | 0.214975i | ||||
\(743\) | 14.5887 | + | 3.90902i | 0.535206 | + | 0.143408i | 0.516291 | − | 0.856413i | \(-0.327312\pi\) |
0.0189147 | + | 0.999821i | \(0.493979\pi\) | |||||||
\(744\) | −5.67987 | − | 8.66391i | −0.208234 | − | 0.317634i | ||||
\(745\) | −33.5214 | − | 19.3536i | −1.22813 | − | 0.709060i | ||||
\(746\) | 17.9640 | − | 35.2563i | 0.657709 | − | 1.29083i | ||||
\(747\) | 12.7970 | + | 25.1155i | 0.468217 | + | 0.918928i | ||||
\(748\) | 1.91227 | + | 1.54853i | 0.0699196 | + | 0.0566197i | ||||
\(749\) | 17.2553 | + | 64.3977i | 0.630496 | + | 2.35304i | ||||
\(750\) | − | 9.02176i | − | 0.329428i | ||||||
\(751\) | −15.7683 | + | 1.65731i | −0.575393 | + | 0.0604762i | −0.387756 | − | 0.921762i | \(-0.626750\pi\) |
−0.187637 | + | 0.982238i | \(0.560083\pi\) | |||||||
\(752\) | 2.45404 | + | 3.03048i | 0.0894895 | + | 0.110510i | ||||
\(753\) | −1.36446 | − | 3.06462i | −0.0497235 | − | 0.111681i | ||||
\(754\) | −26.9709 | + | 34.7186i | −0.982221 | + | 1.26438i | ||||
\(755\) | 26.0058 | − | 2.73332i | 0.946449 | − | 0.0994758i | ||||
\(756\) | 5.41983 | − | 3.51968i | 0.197117 | − | 0.128009i | ||||
\(757\) | 26.0713 | + | 8.47108i | 0.947578 | + | 0.307887i | 0.741731 | − | 0.670698i | \(-0.234005\pi\) |
0.205847 | + | 0.978584i | \(0.434005\pi\) | |||||||
\(758\) | 14.4385 | − | 19.8729i | 0.524429 | − | 0.721815i | ||||
\(759\) | −0.175455 | − | 0.344349i | −0.00636860 | − | 0.0124991i | ||||
\(760\) | 2.24076 | − | 42.7563i | 0.0812811 | − | 1.55093i | ||||
\(761\) | −2.86767 | − | 18.1058i | −0.103953 | − | 0.656334i | −0.983553 | − | 0.180620i | \(-0.942190\pi\) |
0.879600 | − | 0.475714i | \(-0.157810\pi\) | |||||||
\(762\) | −10.7401 | − | 0.562863i | −0.389072 | − | 0.0203904i | ||||
\(763\) | −20.0231 | − | 61.6247i | −0.724885 | − | 2.23097i | ||||
\(764\) | −0.771724 | − | 1.06219i | −0.0279200 | − | 0.0384286i | ||||
\(765\) | 14.6592 | − | 28.7703i | 0.530004 | − | 1.04019i | ||||
\(766\) | 15.0753 | − | 6.71194i | 0.544692 | − | 0.242512i | ||||
\(767\) | 7.15211 | − | 3.82825i | 0.258248 | − | 0.138230i | ||||
\(768\) | 2.72807 | − | 6.12734i | 0.0984407 | − | 0.221101i | ||||
\(769\) | −32.7248 | + | 8.76857i | −1.18009 | + | 0.316203i | −0.794960 | − | 0.606662i | \(-0.792508\pi\) |
−0.385125 | + | 0.922864i | \(0.625842\pi\) | |||||||
\(770\) | 5.52782i | 0.199209i | ||||||||
\(771\) | 1.08829 | + | 10.3544i | 0.0391940 | + | 0.372906i | ||||
\(772\) | 2.01903 | + | 1.31118i | 0.0726666 | + | 0.0471903i | ||||
\(773\) | −11.1960 | + | 7.27078i | −0.402693 | + | 0.261512i | −0.730057 | − | 0.683387i | \(-0.760506\pi\) |
0.327364 | + | 0.944898i | \(0.393840\pi\) | |||||||
\(774\) | 30.2867 | − | 8.11531i | 1.08863 | − | 0.291699i | ||||
\(775\) | −2.50729 | − | 11.5498i | −0.0900646 | − | 0.414883i | ||||
\(776\) | −5.90844 | + | 10.2337i | −0.212101 | + | 0.367369i | ||||
\(777\) | 7.02161 | + | 6.32228i | 0.251899 | + | 0.226811i | ||||
\(778\) | 0.312020 | − | 5.95369i | 0.0111865 | − | 0.213450i | ||||
\(779\) | 34.0588 | + | 46.8779i | 1.22028 | + | 1.67958i | ||||
\(780\) | 1.64597 | + | 0.797166i | 0.0589352 | + | 0.0285431i | ||||
\(781\) | −1.19292 | + | 0.688732i | −0.0426860 | + | 0.0246448i | ||||
\(782\) | −5.14249 | + | 6.35044i | −0.183895 | + | 0.227091i | ||||
\(783\) | 3.55292 | − | 33.8038i | 0.126971 | − | 1.20805i | ||||
\(784\) | 21.3380 | + | 2.24271i | 0.762071 | + | 0.0800969i | ||||
\(785\) | 2.25336 | + | 3.46987i | 0.0804259 | + | 0.123845i | ||||
\(786\) | 3.44898 | − | 1.32394i | 0.123021 | − | 0.0472234i | ||||
\(787\) | 9.15873 | − | 17.9750i | 0.326473 | − | 0.640740i | −0.668181 | − | 0.743999i | \(-0.732927\pi\) |
0.994655 | + | 0.103258i | \(0.0329269\pi\) | |||||||
\(788\) | 0.549655 | − | 10.4880i | 0.0195806 | − | 0.373621i | ||||
\(789\) | −0.691461 | − | 0.502376i | −0.0246167 | − | 0.0178851i | ||||
\(790\) | −10.0203 | + | 2.12989i | −0.356507 | + | 0.0757780i | ||||
\(791\) | 6.96045 | − | 10.7182i | 0.247485 | − | 0.381094i | ||||
\(792\) | 0.581662 | − | 5.53415i | 0.0206685 | − | 0.196647i | ||||
\(793\) | 15.3206 | − | 27.8202i | 0.544050 | − | 0.987925i | ||||
\(794\) | −3.90038 | + | 4.33181i | −0.138419 | + | 0.153730i | ||||
\(795\) | 4.09512 | + | 0.648603i | 0.145239 | + | 0.0230036i | ||||
\(796\) | −8.43987 | + | 2.74228i | −0.299143 | + | 0.0971976i | ||||
\(797\) | 1.95457 | − | 18.5965i | 0.0692343 | − | 0.658721i | −0.903783 | − | 0.427990i | \(-0.859222\pi\) |
0.973018 | − | 0.230730i | \(-0.0741116\pi\) | |||||||
\(798\) | 23.3498 | − | 3.69825i | 0.826574 | − | 0.130917i | ||||
\(799\) | 1.59118 | − | 10.0463i | 0.0562921 | − | 0.355414i | ||||
\(800\) | 4.07212 | − | 4.07212i | 0.143971 | − | 0.143971i | ||||
\(801\) | −6.44133 | + | 1.72595i | −0.227593 | + | 0.0609834i | ||||
\(802\) | −2.30502 | + | 0.242267i | −0.0813931 | + | 0.00855476i | ||||
\(803\) | 2.05148 | − | 1.84716i | 0.0723950 | − | 0.0651848i | ||||
\(804\) | 0.554574 | − | 0.0290640i | 0.0195583 | − | 0.00102501i | ||||
\(805\) | 5.98606 | 0.210981 | ||||||||
\(806\) | −23.9631 | − | 5.79442i | −0.844063 | − | 0.204100i | ||||
\(807\) | 10.0143 | 0.352521 | ||||||||
\(808\) | −30.9403 | + | 1.62151i | −1.08848 | + | 0.0570446i | ||||
\(809\) | −40.1841 | + | 36.1820i | −1.41280 | + | 1.27209i | −0.498596 | + | 0.866835i | \(0.666151\pi\) |
−0.914203 | + | 0.405256i | \(0.867183\pi\) | |||||||
\(810\) | −12.0355 | + | 1.26498i | −0.422883 | + | 0.0444468i | ||||
\(811\) | 49.5849 | − | 13.2862i | 1.74116 | − | 0.466542i | 0.758456 | − | 0.651725i | \(-0.225954\pi\) |
0.982704 | + | 0.185182i | \(0.0592875\pi\) | |||||||
\(812\) | −13.2531 | + | 13.2531i | −0.465091 | + | 0.465091i | ||||
\(813\) | −1.35349 | + | 8.54563i | −0.0474691 | + | 0.299708i | ||||
\(814\) | 3.39492 | − | 0.537702i | 0.118992 | − | 0.0188464i | ||||
\(815\) | 1.04472 | − | 9.93989i | 0.0365951 | − | 0.348179i | ||||
\(816\) | 11.6115 | − | 3.77280i | 0.406483 | − | 0.132074i | ||||
\(817\) | −79.0783 | − | 12.5248i | −2.76660 | − | 0.438186i | ||||
\(818\) | −10.4046 | + | 11.5555i | −0.363790 | + | 0.404029i | ||||
\(819\) | 8.70869 | − | 35.3447i | 0.304306 | − | 1.23505i | ||||
\(820\) | 0.612581 | − | 5.82832i | 0.0213923 | − | 0.203534i | ||||
\(821\) | −0.884431 | + | 1.36190i | −0.0308668 | + | 0.0475308i | −0.853767 | − | 0.520655i | \(-0.825688\pi\) |
0.822900 | + | 0.568186i | \(0.192354\pi\) | |||||||
\(822\) | 9.25110 | − | 1.96638i | 0.322669 | − | 0.0685855i | ||||
\(823\) | 15.0468 | + | 10.9322i | 0.524499 | + | 0.381071i | 0.818296 | − | 0.574797i | \(-0.194919\pi\) |
−0.293797 | + | 0.955868i | \(0.594919\pi\) | |||||||
\(824\) | 1.04806 | − | 19.9981i | 0.0365108 | − | 0.696667i | ||||
\(825\) | −0.405093 | + | 0.795040i | −0.0141035 | + | 0.0276798i | ||||
\(826\) | −9.90138 | + | 3.80078i | −0.344513 | + | 0.132246i | ||||
\(827\) | −14.1309 | − | 21.7597i | −0.491379 | − | 0.756657i | 0.502799 | − | 0.864403i | \(-0.332303\pi\) |
−0.994178 | + | 0.107746i | \(0.965637\pi\) | |||||||
\(828\) | −1.18281 | − | 0.124318i | −0.0411055 | − | 0.00432036i | ||||
\(829\) | 3.85575 | − | 36.6850i | 0.133916 | − | 1.27412i | −0.696735 | − | 0.717329i | \(-0.745365\pi\) |
0.830650 | − | 0.556794i | \(-0.187969\pi\) | |||||||
\(830\) | 14.0491 | − | 17.3491i | 0.487650 | − | 0.602197i | ||||
\(831\) | 2.73669 | − | 1.58003i | 0.0949348 | − | 0.0548107i | ||||
\(832\) | −10.5084 | − | 30.2467i | −0.364314 | − | 1.04861i | ||||
\(833\) | −32.8955 | − | 45.2768i | −1.13976 | − | 1.56875i | ||||
\(834\) | −0.138098 | + | 2.63507i | −0.00478195 | + | 0.0912450i | ||||
\(835\) | 2.07134 | + | 1.86505i | 0.0716818 | + | 0.0645426i | ||||
\(836\) | −1.40221 | + | 2.42869i | −0.0484963 | + | 0.0839981i | ||||
\(837\) | 18.1021 | − | 5.96847i | 0.625700 | − | 0.206300i | ||||
\(838\) | 4.16700 | − | 1.11654i | 0.143947 | − | 0.0385704i | ||||
\(839\) | −4.78695 | + | 3.10868i | −0.165264 | + | 0.107324i | −0.624621 | − | 0.780928i | \(-0.714747\pi\) |
0.459357 | + | 0.888252i | \(0.348080\pi\) | |||||||
\(840\) | −10.1601 | − | 6.59802i | −0.350555 | − | 0.227653i | ||||
\(841\) | 7.27306 | + | 69.1986i | 0.250795 | + | 2.38616i | ||||
\(842\) | 13.1525i | 0.453267i | ||||||||
\(843\) | −9.78720 | + | 2.62247i | −0.337089 | + | 0.0903228i | ||||
\(844\) | −2.07076 | + | 4.65100i | −0.0712785 | + | 0.160094i | ||||
\(845\) | 21.0518 | − | 6.56370i | 0.724202 | − | 0.225798i | ||||
\(846\) | −4.14749 | + | 1.84658i | −0.142594 | + | 0.0634867i | ||||
\(847\) | −18.3355 | + | 35.9855i | −0.630017 | + | 1.23648i | ||||
\(848\) | −6.55599 | − | 9.02355i | −0.225134 | − | 0.309870i | ||||
\(849\) | 2.41175 | + | 7.42261i | 0.0827711 | + | 0.254743i | ||||
\(850\) | 18.8406 | + | 0.987396i | 0.646229 | + | 0.0338674i | ||||
\(851\) | −0.582276 | − | 3.67634i | −0.0199602 | − | 0.126023i | ||||
\(852\) | 0.0311823 | − | 0.594993i | 0.00106829 | − | 0.0203841i | ||||
\(853\) | −2.72404 | − | 5.34623i | −0.0932694 | − | 0.183051i | 0.839659 | − | 0.543115i | \(-0.182755\pi\) |
−0.932928 | + | 0.360063i | \(0.882755\pi\) | |||||||
\(854\) | −24.4062 | + | 33.5923i | −0.835163 | + | 1.14950i | ||||
\(855\) | 34.9997 | + | 11.3721i | 1.19697 | + | 0.388918i | ||||
\(856\) | −44.5774 | + | 28.9489i | −1.52362 | + | 0.989453i | ||||
\(857\) | 0.642389 | − | 0.0675178i | 0.0219436 | − | 0.00230637i | −0.0935503 | − | 0.995615i | \(-0.529822\pi\) |
0.115494 | + | 0.993308i | \(0.463155\pi\) | |||||||
\(858\) | 1.12426 | + | 1.48339i | 0.0383816 | + | 0.0506421i | ||||
\(859\) | −16.4955 | − | 37.0494i | −0.562818 | − | 1.26411i | −0.941009 | − | 0.338382i | \(-0.890120\pi\) |
0.378191 | − | 0.925728i | \(-0.376546\pi\) | |||||||
\(860\) | 5.09598 | + | 6.29301i | 0.173771 | + | 0.214590i | ||||
\(861\) | 16.3055 | − | 1.71378i | 0.555689 | − | 0.0584053i | ||||
\(862\) | − | 0.0527559i | − | 0.00179687i | ||||||
\(863\) | 3.40147 | + | 12.6945i | 0.115787 | + | 0.432125i | 0.999345 | − | 0.0361986i | \(-0.0115249\pi\) |
−0.883557 | + | 0.468323i | \(0.844858\pi\) | |||||||
\(864\) | 7.21772 | + | 5.84479i | 0.245552 | + | 0.198844i | ||||
\(865\) | −17.0235 | − | 33.4105i | −0.578816 | − | 1.13599i | ||||
\(866\) | 12.6873 | − | 24.9002i | 0.431131 | − | 0.846142i | ||||
\(867\) | −18.6281 | − | 10.7549i | −0.632644 | − | 0.365257i | ||||
\(868\) | −9.82849 | − | 3.72407i | −0.333601 | − | 0.126403i | ||||
\(869\) | 3.28390 | + | 0.879920i | 0.111399 | + | 0.0298492i | ||||
\(870\) | −11.9604 | + | 3.88616i | −0.405495 | + | 0.131753i | ||||
\(871\) | 4.63804 | − | 4.82949i | 0.157154 | − | 0.163641i | ||||
\(872\) | 41.7929 | − | 30.3643i | 1.41529 | − | 1.02827i | ||||
\(873\) | −7.18208 | − | 7.18208i | −0.243077 | − | 0.243077i | ||||
\(874\) | −8.06543 | − | 4.65658i | −0.272817 | − | 0.157511i | ||||
\(875\) | −27.2585 | − | 37.5181i | −0.921505 | − | 1.26834i | ||||
\(876\) | 0.186790 | + | 1.17934i | 0.00631104 | + | 0.0398464i | ||||
\(877\) | −12.8691 | + | 10.4212i | −0.434558 | + | 0.351898i | −0.821502 | − | 0.570205i | \(-0.806864\pi\) |
0.386945 | + | 0.922103i | \(0.373530\pi\) | |||||||
\(878\) | −1.25325 | − | 23.9134i | −0.0422951 | − | 0.807038i | ||||
\(879\) | 11.1966 | − | 13.8266i | 0.377650 | − | 0.466359i | ||||
\(880\) | −3.09438 | + | 1.00543i | −0.104312 | + | 0.0338929i | ||||
\(881\) | 11.1046 | − | 34.1764i | 0.374123 | − | 1.15143i | −0.569946 | − | 0.821682i | \(-0.693036\pi\) |
0.944069 | − | 0.329749i | \(-0.106964\pi\) | |||||||
\(882\) | −8.95187 | + | 23.3204i | −0.301425 | + | 0.785240i | ||||
\(883\) | −11.8662 | + | 36.5203i | −0.399328 | + | 1.22901i | 0.526211 | + | 0.850354i | \(0.323612\pi\) |
−0.925539 | + | 0.378652i | \(0.876388\pi\) | |||||||
\(884\) | −6.19053 | + | 11.2412i | −0.208210 | + | 0.378083i | ||||
\(885\) | 2.30780 | + | 0.242560i | 0.0775759 | + | 0.00815355i | ||||
\(886\) | 9.10944 | − | 4.64149i | 0.306037 | − | 0.155934i | ||||
\(887\) | 2.05219 | + | 0.436206i | 0.0689057 | + | 0.0146463i | 0.242236 | − | 0.970217i | \(-0.422119\pi\) |
−0.173330 | + | 0.984864i | \(0.555453\pi\) | |||||||
\(888\) | −3.06389 | + | 6.88161i | −0.102817 | + | 0.230932i | ||||
\(889\) | −46.3646 | + | 30.1095i | −1.55502 | + | 1.00984i | ||||
\(890\) | 3.32367 | + | 4.10439i | 0.111410 | + | 0.137579i | ||||
\(891\) | 3.74946 | + | 1.43928i | 0.125612 | + | 0.0482178i | ||||
\(892\) | 2.78105 | + | 7.24487i | 0.0931163 | + | 0.242576i | ||||
\(893\) | 11.5927 | 0.387934 | ||||||||
\(894\) | 17.0394 | 0.569884 | ||||||||
\(895\) | −10.1638 | − | 26.4776i | −0.339738 | − | 0.885049i | ||||
\(896\) | 4.37365 | + | 20.5764i | 0.146113 | + | 0.687409i | ||||
\(897\) | 1.60636 | − | 1.21746i | 0.0536348 | − | 0.0406497i | ||||
\(898\) | 20.4231i | 0.681526i | ||||||||
\(899\) | −47.7545 | + | 27.8474i | −1.59270 | + | 0.928762i | ||||
\(900\) | 1.37297 | + | 2.37805i | 0.0457656 | + | 0.0792684i | ||||
\(901\) | −6.04892 | + | 28.4579i | −0.201519 | + | 0.948071i | ||||
\(902\) | 3.24843 | − | 5.00215i | 0.108161 | − | 0.166553i | ||||
\(903\) | −14.2567 | + | 17.6055i | −0.474432 | + | 0.585875i | ||||
\(904\) | 9.84167 | + | 2.63707i | 0.327329 | + | 0.0877076i | ||||
\(905\) | 3.63205 | − | 13.5550i | 0.120733 | − | 0.450583i | ||||
\(906\) | −9.31275 | + | 6.76611i | −0.309396 | + | 0.224789i | ||||
\(907\) | 49.9786 | + | 5.25296i | 1.65951 | + | 0.174422i | 0.887379 | − | 0.461040i | \(-0.152524\pi\) |
0.772132 | + | 0.635462i | \(0.219190\pi\) | |||||||
\(908\) | 3.00712 | − | 0.476280i | 0.0997946 | − | 0.0158059i | ||||
\(909\) | 5.53684 | − | 26.0488i | 0.183645 | − | 0.863983i | ||||
\(910\) | −28.3776 | + | 5.08469i | −0.940708 | + | 0.168556i | ||||
\(911\) | 41.5562 | + | 37.4174i | 1.37682 | + | 1.23969i | 0.940452 | + | 0.339925i | \(0.110402\pi\) |
0.436367 | + | 0.899769i | \(0.356265\pi\) | |||||||
\(912\) | 6.31718 | + | 12.3982i | 0.209183 | + | 0.410544i | ||||
\(913\) | −6.76822 | + | 3.01340i | −0.223995 | + | 0.0997291i | ||||
\(914\) | −11.4736 | − | 12.7428i | −0.379514 | − | 0.421493i | ||||
\(915\) | 8.09473 | − | 4.12447i | 0.267604 | − | 0.136351i | ||||
\(916\) | 9.09849 | − | 1.44106i | 0.300623 | − | 0.0476139i | ||||
\(917\) | 10.3428 | − | 15.9266i | 0.341551 | − | 0.525942i | ||||
\(918\) | 1.59241 | + | 30.3849i | 0.0525572 | + | 1.00285i | ||||
\(919\) | 19.3958 | + | 8.63558i | 0.639809 | + | 0.284861i | 0.700888 | − | 0.713272i | \(-0.252787\pi\) |
−0.0610787 | + | 0.998133i | \(0.519454\pi\) | |||||||
\(920\) | 1.47476 | + | 4.53883i | 0.0486213 | + | 0.149641i | ||||
\(921\) | −1.41381 | − | 8.92646i | −0.0465867 | − | 0.294137i | ||||
\(922\) | 5.62299 | + | 4.08534i | 0.185183 | + | 0.134544i | ||||
\(923\) | −4.63295 | − | 5.49043i | −0.152496 | − | 0.180720i | ||||
\(924\) | 0.396754 | + | 0.687197i | 0.0130522 | + | 0.0226071i | ||||
\(925\) | −6.07675 | + | 6.07675i | −0.199802 | + | 0.199802i | ||||
\(926\) | 8.79165 | − | 19.7464i | 0.288912 | − | 0.648906i | ||||
\(927\) | 16.3702 | + | 5.31899i | 0.537667 | + | 0.174698i | ||||
\(928\) | −24.0002 | − | 12.2287i | −0.787846 | − | 0.401428i | ||||
\(929\) | −2.58103 | − | 9.63255i | −0.0846810 | − | 0.316034i | 0.910573 | − | 0.413349i | \(-0.135641\pi\) |
−0.995254 | + | 0.0973155i | \(0.968974\pi\) | |||||||
\(930\) | −4.74149 | − | 5.22034i | −0.155480 | − | 0.171182i | ||||
\(931\) | 45.1023 | − | 45.1023i | 1.47817 | − | 1.47817i | ||||
\(932\) | −5.76412 | − | 1.22520i | −0.188810 | − | 0.0401328i | ||||
\(933\) | −3.78392 | − | 4.20246i | −0.123880 | − | 0.137583i | ||||
\(934\) | −32.9028 | + | 12.6302i | −1.07661 | + | 0.413272i | ||||
\(935\) | 7.34982 | + | 4.24342i | 0.240365 | + | 0.138775i | ||||
\(936\) | 28.9451 | − | 2.10449i | 0.946099 | − | 0.0687874i | ||||
\(937\) | 17.0131 | + | 7.57472i | 0.555793 | + | 0.247455i | 0.665358 | − | 0.746524i | \(-0.268279\pi\) |
−0.109564 | + | 0.993980i | \(0.534946\pi\) | |||||||
\(938\) | −6.80326 | + | 5.50917i | −0.222134 | + | 0.179881i | ||||
\(939\) | 1.32769 | + | 0.964623i | 0.0433275 | + | 0.0314793i | ||||
\(940\) | −0.871315 | − | 0.784536i | −0.0284192 | − | 0.0255887i | ||||
\(941\) | 12.6564 | + | 10.2490i | 0.412588 | + | 0.334107i | 0.813037 | − | 0.582212i | \(-0.197813\pi\) |
−0.400449 | + | 0.916319i | \(0.631146\pi\) | |||||||
\(942\) | −1.62281 | − | 0.826861i | −0.0528739 | − | 0.0269406i | ||||
\(943\) | −5.41681 | − | 3.51772i | −0.176396 | − | 0.114553i | ||||
\(944\) | −3.92852 | − | 4.85132i | −0.127862 | − | 0.157897i | ||||
\(945\) | 16.5641 | − | 14.9143i | 0.538829 | − | 0.485164i | ||||
\(946\) | 1.71345 | + | 8.06114i | 0.0557090 | + | 0.262090i | ||||
\(947\) | −25.2327 | − | 9.68593i | −0.819953 | − | 0.314751i | −0.0880129 | − | 0.996119i | \(-0.528052\pi\) |
−0.731940 | + | 0.681369i | \(0.761385\pi\) | |||||||
\(948\) | −1.09282 | + | 0.983978i | −0.0354931 | + | 0.0319581i | ||||
\(949\) | 11.3696 | + | 8.83236i | 0.369072 | + | 0.286711i | ||||
\(950\) | 2.24761 | + | 21.3846i | 0.0729221 | + | 0.693808i | ||||
\(951\) | 15.8254 | + | 8.06346i | 0.513175 | + | 0.261476i | ||||
\(952\) | 49.9661 | − | 68.7724i | 1.61941 | − | 2.22893i | ||||
\(953\) | 13.5752 | − | 6.04409i | 0.439745 | − | 0.195787i | −0.174908 | − | 0.984585i | \(-0.555963\pi\) |
0.614653 | + | 0.788798i | \(0.289296\pi\) | |||||||
\(954\) | 12.1232 | − | 4.65366i | 0.392503 | − | 0.150668i | ||||
\(955\) | −3.20205 | − | 3.20205i | −0.103616 | − | 0.103616i | ||||
\(956\) | −1.27421 | + | 4.75541i | −0.0412108 | + | 0.153801i | ||||
\(957\) | 4.12218 | + | 0.652890i | 0.133251 | + | 0.0211049i | ||||
\(958\) | 5.98231 | − | 18.4117i | 0.193280 | − | 0.594853i | ||||
\(959\) | 32.5306 | − | 36.1289i | 1.05047 | − | 1.16666i | ||||
\(960\) | 2.37063 | − | 8.84729i | 0.0765116 | − | 0.285545i | ||||
\(961\) | −25.2363 | − | 18.0036i | −0.814075 | − | 0.580760i | ||||
\(962\) | 5.88311 | + | 16.9335i | 0.189679 | + | 0.545958i | ||||
\(963\) | −14.1178 | − | 43.4502i | −0.454941 | − | 1.40016i | ||||
\(964\) | 4.76149 | + | 0.249539i | 0.153357 | + | 0.00803712i | ||||
\(965\) | 7.58546 | + | 3.37726i | 0.244185 | + | 0.108718i | ||||
\(966\) | −2.28211 | + | 1.31757i | −0.0734256 | + | 0.0423923i | ||||
\(967\) | 20.2034 | + | 5.41348i | 0.649697 | + | 0.174086i | 0.568592 | − | 0.822620i | \(-0.307488\pi\) |
0.0811051 | + | 0.996706i | \(0.474155\pi\) | |||||||
\(968\) | −31.8026 | − | 5.03704i | −1.02218 | − | 0.161897i | ||||
\(969\) | 13.0072 | − | 33.8850i | 0.417853 | − | 1.08854i | ||||
\(970\) | −2.88276 | + | 7.50985i | −0.0925599 | + | 0.241127i | ||||
\(971\) | 22.6465 | − | 25.1515i | 0.726761 | − | 0.807150i | −0.260632 | − | 0.965438i | \(-0.583931\pi\) |
0.987393 | + | 0.158288i | \(0.0505975\pi\) | |||||||
\(972\) | −5.49167 | + | 3.98993i | −0.176146 | + | 0.127977i | ||||
\(973\) | 7.38735 | + | 11.3755i | 0.236827 | + | 0.364682i | ||||
\(974\) | −7.80455 | − | 8.66783i | −0.250074 | − | 0.277735i | ||||
\(975\) | −4.45403 | − | 1.34828i | −0.142643 | − | 0.0431794i | ||||
\(976\) | −23.2435 | − | 7.55226i | −0.744005 | − | 0.241742i | ||||
\(977\) | −12.2829 | − | 7.97663i | −0.392966 | − | 0.255195i | 0.332998 | − | 0.942927i | \(-0.391940\pi\) |
−0.725964 | + | 0.687732i | \(0.758606\pi\) | |||||||
\(978\) | 1.78955 | + | 4.01940i | 0.0572236 | + | 0.128526i | ||||
\(979\) | −0.364413 | − | 1.71443i | −0.0116467 | − | 0.0547933i | ||||
\(980\) | −6.44223 | + | 0.337623i | −0.205789 | + | 0.0107850i | ||||
\(981\) | 15.9124 | + | 41.4533i | 0.508045 | + | 1.32350i | ||||
\(982\) | 14.0917 | − | 0.738512i | 0.449683 | − | 0.0235669i | ||||
\(983\) | −30.2454 | − | 11.6101i | −0.964678 | − | 0.370305i | −0.175507 | − | 0.984478i | \(-0.556156\pi\) |
−0.789171 | + | 0.614173i | \(0.789490\pi\) | |||||||
\(984\) | 5.31654 | + | 11.9411i | 0.169485 | + | 0.380670i | ||||
\(985\) | −3.78638 | − | 36.0250i | −0.120644 | − | 1.14785i | ||||
\(986\) | −22.8395 | − | 85.2382i | −0.727358 | − | 2.71454i | ||||
\(987\) | 1.64007 | − | 2.84068i | 0.0522040 | − | 0.0904199i | ||||
\(988\) | −13.7577 | − | 4.96436i | −0.437691 | − | 0.157937i | ||||
\(989\) | 8.72939 | − | 1.85549i | 0.277578 | − | 0.0590011i | ||||
\(990\) | −0.198250 | − | 3.78283i | −0.00630080 | − | 0.120226i | ||||
\(991\) | −3.25851 | + | 1.88130i | −0.103510 | + | 0.0597615i | −0.550861 | − | 0.834597i | \(-0.685701\pi\) |
0.447351 | + | 0.894358i | \(0.352367\pi\) | |||||||
\(992\) | 0.725239 | − | 15.0876i | 0.0230264 | − | 0.479032i | ||||
\(993\) | 9.82103 | + | 9.82103i | 0.311661 | + | 0.311661i | ||||
\(994\) | 5.11535 | + | 7.87695i | 0.162249 | + | 0.249842i | ||||
\(995\) | −27.2716 | + | 13.8955i | −0.864566 | + | 0.440519i | ||||
\(996\) | 0.501308 | − | 3.16513i | 0.0158845 | − | 0.100291i | ||||
\(997\) | 0.417515 | + | 0.723157i | 0.0132228 | + | 0.0229026i | 0.872561 | − | 0.488505i | \(-0.162458\pi\) |
−0.859338 | + | 0.511408i | \(0.829124\pi\) | |||||||
\(998\) | 13.4686 | − | 23.3283i | 0.426342 | − | 0.738445i | ||||
\(999\) | −10.7709 | − | 8.72208i | −0.340775 | − | 0.275954i |
(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 | 403.2.cc.a.24.11 | ✓ | 560 | |
13.6 | odd | 12 | 403.2.ch.a.396.25 | yes | 560 | ||
31.22 | odd | 30 | 403.2.ch.a.115.25 | yes | 560 | ||
403.84 | even | 60 | inner | 403.2.cc.a.84.11 | yes | 560 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.cc.a.24.11 | ✓ | 560 | 1.1 | even | 1 | trivial | |
403.2.cc.a.84.11 | yes | 560 | 403.84 | even | 60 | inner | |
403.2.ch.a.115.25 | yes | 560 | 31.22 | odd | 30 | ||
403.2.ch.a.396.25 | yes | 560 | 13.6 | odd | 12 |