Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(2,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bx (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 2.10 | ||
Character | \(\chi\) | \(=\) | 315.2 |
Dual form | 315.2.bx.a.158.10 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.62572 | − | 0.435610i | −1.14956 | − | 0.308023i | −0.366769 | − | 0.930312i | \(-0.619536\pi\) |
−0.782787 | + | 0.622290i | \(0.786203\pi\) | |||||||
\(3\) | 0.558438 | − | 1.63956i | 0.322414 | − | 0.946599i | ||||
\(4\) | 0.721151 | + | 0.416356i | 0.360575 | + | 0.208178i | ||||
\(5\) | 1.01641 | + | 1.99171i | 0.454551 | + | 0.890720i | ||||
\(6\) | −1.62207 | + | 2.42220i | −0.662207 | + | 0.988857i | ||||
\(7\) | −2.57976 | + | 0.587246i | −0.975056 | + | 0.221958i | ||||
\(8\) | 1.38920 | + | 1.38920i | 0.491155 | + | 0.491155i | ||||
\(9\) | −2.37629 | − | 1.83118i | −0.792098 | − | 0.610394i | ||||
\(10\) | −0.784783 | − | 3.68072i | −0.248170 | − | 1.16395i | ||||
\(11\) | − | 5.77995i | − | 1.74272i | −0.490645 | − | 0.871360i | \(-0.663239\pi\) | ||
0.490645 | − | 0.871360i | \(-0.336761\pi\) | |||||||
\(12\) | 1.08536 | − | 0.949858i | 0.313316 | − | 0.274200i | ||||
\(13\) | −4.95511 | − | 1.32772i | −1.37430 | − | 0.368243i | −0.505253 | − | 0.862971i | \(-0.668601\pi\) |
−0.869047 | + | 0.494729i | \(0.835267\pi\) | |||||||
\(14\) | 4.44976 | + | 0.169071i | 1.18925 | + | 0.0451860i | ||||
\(15\) | 3.83313 | − | 0.554211i | 0.989709 | − | 0.143097i | ||||
\(16\) | −2.48601 | − | 4.30589i | −0.621502 | − | 1.07647i | ||||
\(17\) | −2.70643 | − | 0.725185i | −0.656405 | − | 0.175883i | −0.0847821 | − | 0.996400i | \(-0.527019\pi\) |
−0.571623 | + | 0.820516i | \(0.693686\pi\) | |||||||
\(18\) | 3.06550 | + | 4.01212i | 0.722546 | + | 0.945666i | ||||
\(19\) | −3.19812 | − | 1.84643i | −0.733699 | − | 0.423601i | 0.0860751 | − | 0.996289i | \(-0.472567\pi\) |
−0.819774 | + | 0.572688i | \(0.805901\pi\) | |||||||
\(20\) | −0.0962789 | + | 1.85951i | −0.0215286 | + | 0.415800i | ||||
\(21\) | −0.477810 | + | 4.55760i | −0.104267 | + | 0.994549i | ||||
\(22\) | −2.51780 | + | 9.39656i | −0.536797 | + | 2.00335i | ||||
\(23\) | 2.75969 | + | 2.75969i | 0.575435 | + | 0.575435i | 0.933642 | − | 0.358207i | \(-0.116612\pi\) |
−0.358207 | + | 0.933642i | \(0.616612\pi\) | |||||||
\(24\) | 3.05345 | − | 1.50189i | 0.623283 | − | 0.306572i | ||||
\(25\) | −2.93383 | + | 4.04878i | −0.586766 | + | 0.809757i | ||||
\(26\) | 7.47724 | + | 4.31699i | 1.46641 | + | 0.846631i | ||||
\(27\) | −4.32934 | + | 2.87347i | −0.833182 | + | 0.552999i | ||||
\(28\) | −2.10490 | − | 0.650605i | −0.397788 | − | 0.122953i | ||||
\(29\) | 0.300752 | − | 0.520917i | 0.0558482 | − | 0.0967319i | −0.836750 | − | 0.547586i | \(-0.815547\pi\) |
0.892598 | + | 0.450854i | \(0.148880\pi\) | |||||||
\(30\) | −6.47300 | − | 0.768756i | −1.18180 | − | 0.140355i | ||||
\(31\) | 2.14479 | − | 3.71489i | 0.385216 | − | 0.667214i | −0.606583 | − | 0.795020i | \(-0.707460\pi\) |
0.991799 | + | 0.127806i | \(0.0407936\pi\) | |||||||
\(32\) | 1.14889 | + | 4.28773i | 0.203098 | + | 0.757971i | ||||
\(33\) | −9.47655 | − | 3.22774i | −1.64966 | − | 0.561878i | ||||
\(34\) | 4.08399 | + | 2.35789i | 0.700398 | + | 0.404375i | ||||
\(35\) | −3.79171 | − | 4.54125i | −0.640916 | − | 0.767611i | ||||
\(36\) | −0.951241 | − | 2.30994i | −0.158540 | − | 0.384991i | ||||
\(37\) | −6.58701 | + | 1.76498i | −1.08290 | + | 0.290162i | −0.755782 | − | 0.654823i | \(-0.772743\pi\) |
−0.327115 | + | 0.944984i | \(0.606077\pi\) | |||||||
\(38\) | 4.39491 | + | 4.39491i | 0.712949 | + | 0.712949i | ||||
\(39\) | −4.94399 | + | 7.38274i | −0.791672 | + | 1.18218i | ||||
\(40\) | −1.35489 | + | 4.17887i | −0.214227 | + | 0.660738i | ||||
\(41\) | 0.0402002 | − | 0.0232096i | 0.00627822 | − | 0.00362473i | −0.496858 | − | 0.867832i | \(-0.665513\pi\) |
0.503136 | + | 0.864207i | \(0.332180\pi\) | |||||||
\(42\) | 2.76212 | − | 7.20123i | 0.426204 | − | 1.11117i | ||||
\(43\) | −0.636185 | − | 2.37427i | −0.0970173 | − | 0.362073i | 0.900300 | − | 0.435269i | \(-0.143347\pi\) |
−0.997318 | + | 0.0731959i | \(0.976680\pi\) | |||||||
\(44\) | 2.40652 | − | 4.16821i | 0.362796 | − | 0.628381i | ||||
\(45\) | 1.23190 | − | 6.59412i | 0.183641 | − | 0.982993i | ||||
\(46\) | −3.28433 | − | 5.68862i | −0.484248 | − | 0.838742i | ||||
\(47\) | 4.27999 | + | 1.14682i | 0.624300 | + | 0.167281i | 0.557082 | − | 0.830458i | \(-0.311921\pi\) |
0.0672183 | + | 0.997738i | \(0.478588\pi\) | |||||||
\(48\) | −8.44804 | + | 1.67138i | −1.21937 | + | 0.241243i | ||||
\(49\) | 6.31028 | − | 3.02990i | 0.901469 | − | 0.432843i | ||||
\(50\) | 6.53327 | − | 5.30417i | 0.923944 | − | 0.750123i | ||||
\(51\) | −2.70035 | + | 4.03237i | −0.378125 | + | 0.564645i | ||||
\(52\) | −3.02058 | − | 3.02058i | −0.418879 | − | 0.418879i | ||||
\(53\) | 2.68751 | − | 10.0299i | 0.369158 | − | 1.37772i | −0.492539 | − | 0.870291i | \(-0.663931\pi\) |
0.861696 | − | 0.507425i | \(-0.169402\pi\) | |||||||
\(54\) | 8.28999 | − | 2.78554i | 1.12813 | − | 0.379065i | ||||
\(55\) | 11.5120 | − | 5.87478i | 1.55228 | − | 0.792155i | ||||
\(56\) | −4.39959 | − | 2.76799i | −0.587920 | − | 0.369888i | ||||
\(57\) | −4.81328 | + | 4.21238i | −0.637535 | + | 0.557943i | ||||
\(58\) | −0.715854 | + | 0.715854i | −0.0939963 | + | 0.0939963i | ||||
\(59\) | −2.99060 | + | 5.17987i | −0.389343 | + | 0.674361i | −0.992361 | − | 0.123366i | \(-0.960631\pi\) |
0.603019 | + | 0.797727i | \(0.293964\pi\) | |||||||
\(60\) | 2.99501 | + | 1.19628i | 0.386654 | + | 0.154439i | ||||
\(61\) | 0.130166 | + | 0.225454i | 0.0166660 | + | 0.0288664i | 0.874238 | − | 0.485497i | \(-0.161361\pi\) |
−0.857572 | + | 0.514364i | \(0.828028\pi\) | |||||||
\(62\) | −5.10507 | + | 5.10507i | −0.648344 | + | 0.648344i | ||||
\(63\) | 7.20561 | + | 3.32853i | 0.907822 | + | 0.419356i | ||||
\(64\) | 2.47292i | 0.309115i | ||||||||
\(65\) | −2.39198 | − | 11.2187i | −0.296689 | − | 1.39150i | ||||
\(66\) | 14.0002 | + | 9.37547i | 1.72330 | + | 1.15404i | ||||
\(67\) | 3.68051 | − | 0.986190i | 0.449646 | − | 0.120482i | −0.0268877 | − | 0.999638i | \(-0.508560\pi\) |
0.476534 | + | 0.879156i | \(0.341893\pi\) | |||||||
\(68\) | −1.64981 | − | 1.64981i | −0.200068 | − | 0.200068i | ||||
\(69\) | 6.06578 | − | 2.98355i | 0.730234 | − | 0.359177i | ||||
\(70\) | 4.18604 | + | 9.03449i | 0.500327 | + | 1.07983i | ||||
\(71\) | 4.98768i | 0.591929i | 0.955199 | + | 0.295965i | \(0.0956410\pi\) | ||||
−0.955199 | + | 0.295965i | \(0.904359\pi\) | |||||||
\(72\) | −0.757268 | − | 5.84501i | −0.0892449 | − | 0.688842i | ||||
\(73\) | −9.64567 | − | 2.58455i | −1.12894 | − | 0.302499i | −0.354444 | − | 0.935077i | \(-0.615330\pi\) |
−0.774496 | + | 0.632578i | \(0.781997\pi\) | |||||||
\(74\) | 11.4775 | 1.33423 | ||||||||
\(75\) | 4.99985 | + | 7.07118i | 0.577333 | + | 0.816509i | ||||
\(76\) | −1.53755 | − | 2.66311i | −0.176369 | − | 0.305480i | ||||
\(77\) | 3.39425 | + | 14.9108i | 0.386811 | + | 1.69925i | ||||
\(78\) | 11.2535 | − | 9.84859i | 1.27421 | − | 1.11513i | ||||
\(79\) | 11.7918 | − | 6.80798i | 1.32668 | − | 0.765958i | 0.341893 | − | 0.939739i | \(-0.388932\pi\) |
0.984784 | + | 0.173781i | \(0.0555985\pi\) | |||||||
\(80\) | 6.04930 | − | 9.32795i | 0.676332 | − | 1.04290i | ||||
\(81\) | 2.29355 | + | 8.70285i | 0.254838 | + | 0.966984i | ||||
\(82\) | −0.0754645 | + | 0.0202207i | −0.00833366 | + | 0.00223300i | ||||
\(83\) | −5.20761 | + | 1.39537i | −0.571609 | + | 0.153162i | −0.533035 | − | 0.846093i | \(-0.678948\pi\) |
−0.0385748 | + | 0.999256i | \(0.512282\pi\) | |||||||
\(84\) | −2.24216 | + | 3.08777i | −0.244640 | + | 0.336904i | ||||
\(85\) | −1.30648 | − | 6.12751i | −0.141707 | − | 0.664622i | ||||
\(86\) | 4.13703i | 0.446107i | ||||||||
\(87\) | −0.686123 | − | 0.784000i | −0.0735601 | − | 0.0840536i | ||||
\(88\) | 8.02948 | − | 8.02948i | 0.855946 | − | 0.855946i | ||||
\(89\) | −0.475414 | + | 0.823442i | −0.0503938 | + | 0.0872846i | −0.890122 | − | 0.455722i | \(-0.849381\pi\) |
0.839728 | + | 0.543007i | \(0.182714\pi\) | |||||||
\(90\) | −4.87519 | + | 10.1835i | −0.513890 | + | 1.07344i | ||||
\(91\) | 13.5627 | + | 0.515319i | 1.42175 | + | 0.0540201i | ||||
\(92\) | 0.841137 | + | 3.13917i | 0.0876946 | + | 0.327281i | ||||
\(93\) | −4.89304 | − | 5.59104i | −0.507385 | − | 0.579764i | ||||
\(94\) | −6.45848 | − | 3.72881i | −0.666142 | − | 0.384597i | ||||
\(95\) | 0.426972 | − | 8.24646i | 0.0438064 | − | 0.846069i | ||||
\(96\) | 7.67157 | + | 0.510755i | 0.782976 | + | 0.0521287i | ||||
\(97\) | 8.57351 | − | 2.29726i | 0.870508 | − | 0.233252i | 0.204201 | − | 0.978929i | \(-0.434541\pi\) |
0.666307 | + | 0.745677i | \(0.267874\pi\) | |||||||
\(98\) | −11.5786 | + | 2.17695i | −1.16961 | + | 0.219905i | ||||
\(99\) | −10.5841 | + | 13.7348i | −1.06375 | + | 1.38040i | ||||
\(100\) | −3.80147 | + | 1.69826i | −0.380147 | + | 0.169826i | ||||
\(101\) | − | 6.05894i | − | 0.602887i | −0.953484 | − | 0.301444i | \(-0.902531\pi\) | ||
0.953484 | − | 0.301444i | \(-0.0974685\pi\) | |||||||
\(102\) | 6.14655 | − | 5.37920i | 0.608600 | − | 0.532620i | ||||
\(103\) | 9.89409 | − | 9.89409i | 0.974893 | − | 0.974893i | −0.0247990 | − | 0.999692i | \(-0.507895\pi\) |
0.999692 | + | 0.0247990i | \(0.00789458\pi\) | |||||||
\(104\) | −5.03916 | − | 8.72809i | −0.494131 | − | 0.855859i | ||||
\(105\) | −9.56307 | + | 3.68072i | −0.933260 | + | 0.359201i | ||||
\(106\) | −8.73826 | + | 15.1351i | −0.848735 | + | 1.47005i | ||||
\(107\) | 0.607225 | + | 2.26620i | 0.0587027 | + | 0.219081i | 0.989046 | − | 0.147609i | \(-0.0471576\pi\) |
−0.930343 | + | 0.366690i | \(0.880491\pi\) | |||||||
\(108\) | −4.31849 | + | 0.269654i | −0.415547 | + | 0.0259475i | ||||
\(109\) | −0.0677925 | + | 0.0391400i | −0.00649334 | + | 0.00374893i | −0.503243 | − | 0.864145i | \(-0.667860\pi\) |
0.496750 | + | 0.867894i | \(0.334527\pi\) | |||||||
\(110\) | −21.2743 | + | 4.53600i | −2.02843 | + | 0.432491i | ||||
\(111\) | −0.784645 | + | 11.7854i | −0.0744752 | + | 1.11862i | ||||
\(112\) | 8.94191 | + | 9.64825i | 0.844931 | + | 0.911674i | ||||
\(113\) | −0.841853 | + | 3.14184i | −0.0791949 | + | 0.295559i | −0.994152 | − | 0.107992i | \(-0.965558\pi\) |
0.914957 | + | 0.403552i | \(0.132224\pi\) | |||||||
\(114\) | 9.65999 | − | 4.75142i | 0.904741 | − | 0.445011i | ||||
\(115\) | −2.69153 | + | 8.30147i | −0.250987 | + | 0.774116i | ||||
\(116\) | 0.433775 | − | 0.250440i | 0.0402750 | − | 0.0232528i | ||||
\(117\) | 9.34350 | + | 12.2288i | 0.863807 | + | 1.13055i | ||||
\(118\) | 7.11827 | − | 7.11827i | 0.655290 | − | 0.655290i | ||||
\(119\) | 7.40779 | + | 0.281462i | 0.679071 | + | 0.0258015i | ||||
\(120\) | 6.09488 | + | 4.55506i | 0.556384 | + | 0.415818i | ||||
\(121\) | −22.4078 | −2.03707 | ||||||||
\(122\) | −0.113403 | − | 0.423226i | −0.0102670 | − | 0.0383171i | ||||
\(123\) | −0.0156041 | − | 0.0788716i | −0.00140698 | − | 0.00711162i | ||||
\(124\) | 3.09344 | − | 1.78600i | 0.277799 | − | 0.160387i | ||||
\(125\) | −11.0460 | − | 1.72813i | −0.987982 | − | 0.154568i | ||||
\(126\) | −10.2644 | − | 8.55009i | −0.914421 | − | 0.761703i | ||||
\(127\) | −7.99553 | − | 7.99553i | −0.709489 | − | 0.709489i | 0.256939 | − | 0.966428i | \(-0.417286\pi\) |
−0.966428 | + | 0.256939i | \(0.917286\pi\) | |||||||
\(128\) | 3.37502 | − | 12.5957i | 0.298312 | − | 1.11332i | ||||
\(129\) | −4.24803 | − | 0.282824i | −0.374018 | − | 0.0249012i | ||||
\(130\) | −0.998266 | + | 19.2803i | −0.0875537 | + | 1.69100i | ||||
\(131\) | − | 11.7087i | − | 1.02300i | −0.859284 | − | 0.511499i | \(-0.829090\pi\) | ||
0.859284 | − | 0.511499i | \(-0.170910\pi\) | |||||||
\(132\) | −5.49013 | − | 6.27331i | −0.477854 | − | 0.546022i | ||||
\(133\) | 9.33468 | + | 2.88527i | 0.809419 | + | 0.250184i | ||||
\(134\) | −6.41307 | −0.554005 | ||||||||
\(135\) | −10.1235 | − | 5.70218i | −0.871292 | − | 0.490766i | ||||
\(136\) | −2.75234 | − | 4.76719i | −0.236011 | − | 0.408783i | ||||
\(137\) | 9.44890 | − | 9.44890i | 0.807274 | − | 0.807274i | −0.176946 | − | 0.984220i | \(-0.556622\pi\) |
0.984220 | + | 0.176946i | \(0.0566219\pi\) | |||||||
\(138\) | −11.1609 | + | 2.20810i | −0.950080 | + | 0.187966i | ||||
\(139\) | −5.41128 | + | 3.12420i | −0.458978 | + | 0.264991i | −0.711615 | − | 0.702570i | \(-0.752036\pi\) |
0.252636 | + | 0.967561i | \(0.418702\pi\) | |||||||
\(140\) | −0.843615 | − | 4.85363i | −0.0712985 | − | 0.410206i | ||||
\(141\) | 4.27038 | − | 6.37685i | 0.359631 | − | 0.537028i | ||||
\(142\) | 2.17268 | − | 8.10856i | 0.182327 | − | 0.680455i | ||||
\(143\) | −7.67413 | + | 28.6403i | −0.641743 | + | 2.39502i | ||||
\(144\) | −1.97739 | + | 14.7844i | −0.164782 | + | 1.23203i | ||||
\(145\) | 1.34320 | + | 0.0695463i | 0.111547 | + | 0.00577550i | ||||
\(146\) | 14.5553 | + | 8.40350i | 1.20460 | + | 0.695478i | ||||
\(147\) | −1.44380 | − | 12.0381i | −0.119082 | − | 0.992884i | ||||
\(148\) | −5.48509 | − | 1.46972i | −0.450871 | − | 0.120811i | ||||
\(149\) | 8.98476 | 0.736060 | 0.368030 | − | 0.929814i | \(-0.380032\pi\) | ||||
0.368030 | + | 0.929814i | \(0.380032\pi\) | |||||||
\(150\) | −5.04807 | − | 13.6737i | −0.412173 | − | 1.11645i | ||||
\(151\) | 0.804270 | 0.0654506 | 0.0327253 | − | 0.999464i | \(-0.489581\pi\) | ||||
0.0327253 | + | 0.999464i | \(0.489581\pi\) | |||||||
\(152\) | −1.87776 | − | 7.00788i | −0.152306 | − | 0.568414i | ||||
\(153\) | 5.10332 | + | 6.67922i | 0.412579 | + | 0.539983i | ||||
\(154\) | 0.977218 | − | 25.7194i | 0.0787465 | − | 2.07253i | ||||
\(155\) | 9.57897 | + | 0.495965i | 0.769402 | + | 0.0398369i | ||||
\(156\) | −6.63921 | + | 3.26560i | −0.531562 | + | 0.261457i | ||||
\(157\) | −19.8113 | + | 5.30842i | −1.58111 | + | 0.423658i | −0.939270 | − | 0.343178i | \(-0.888497\pi\) |
−0.641843 | + | 0.766836i | \(0.721830\pi\) | |||||||
\(158\) | −22.1357 | + | 5.93125i | −1.76102 | + | 0.471865i | ||||
\(159\) | −14.9438 | − | 10.0074i | −1.18512 | − | 0.793639i | ||||
\(160\) | −7.37218 | + | 6.64635i | −0.582822 | + | 0.525440i | ||||
\(161\) | −8.73994 | − | 5.49871i | −0.688804 | − | 0.433359i | ||||
\(162\) | 0.0623893 | − | 15.1475i | 0.00490177 | − | 1.19010i | ||||
\(163\) | 3.73310 | + | 13.9321i | 0.292399 | + | 1.09125i | 0.943261 | + | 0.332052i | \(0.107741\pi\) |
−0.650862 | + | 0.759196i | \(0.725592\pi\) | |||||||
\(164\) | 0.0386539 | 0.00301836 | ||||||||
\(165\) | −3.20331 | − | 22.1553i | −0.249377 | − | 1.72478i | ||||
\(166\) | 9.07394 | 0.704274 | ||||||||
\(167\) | 8.78402 | + | 2.35367i | 0.679728 | + | 0.182133i | 0.582133 | − | 0.813094i | \(-0.302218\pi\) |
0.0975951 | + | 0.995226i | \(0.468885\pi\) | |||||||
\(168\) | −6.99518 | + | 5.66763i | −0.539690 | + | 0.437267i | ||||
\(169\) | 11.5319 | + | 6.65797i | 0.887073 | + | 0.512152i | ||||
\(170\) | −0.545242 | + | 10.5307i | −0.0418182 | + | 0.807669i | ||||
\(171\) | 4.21851 | + | 10.2440i | 0.322598 | + | 0.783379i | ||||
\(172\) | 0.529759 | − | 1.97709i | 0.0403938 | − | 0.150752i | ||||
\(173\) | −5.43521 | + | 20.2845i | −0.413231 | + | 1.54220i | 0.375121 | + | 0.926976i | \(0.377601\pi\) |
−0.788352 | + | 0.615224i | \(0.789066\pi\) | |||||||
\(174\) | 0.773923 | + | 1.57344i | 0.0586710 | + | 0.119282i | ||||
\(175\) | 5.19093 | − | 12.1678i | 0.392398 | − | 0.919796i | ||||
\(176\) | −24.8878 | + | 14.3690i | −1.87599 | + | 1.08310i | ||||
\(177\) | 6.82262 | + | 7.79589i | 0.512820 | + | 0.585975i | ||||
\(178\) | 1.13159 | − | 1.13159i | 0.0848161 | − | 0.0848161i | ||||
\(179\) | −3.62325 | − | 6.27565i | −0.270814 | − | 0.469064i | 0.698256 | − | 0.715848i | \(-0.253960\pi\) |
−0.969071 | + | 0.246784i | \(0.920626\pi\) | |||||||
\(180\) | 3.63389 | − | 4.24244i | 0.270854 | − | 0.316213i | ||||
\(181\) | −7.42740 | −0.552075 | −0.276037 | − | 0.961147i | \(-0.589021\pi\) | ||||
−0.276037 | + | 0.961147i | \(0.589021\pi\) | |||||||
\(182\) | −21.8246 | − | 6.74579i | −1.61775 | − | 0.500031i | ||||
\(183\) | 0.442334 | − | 0.0875123i | 0.0326983 | − | 0.00646910i | ||||
\(184\) | 7.66751i | 0.565256i | ||||||||
\(185\) | −10.2104 | − | 11.3255i | −0.750686 | − | 0.832666i | ||||
\(186\) | 5.51919 | + | 11.2209i | 0.404686 | + | 0.822757i | ||||
\(187\) | −4.19153 | + | 15.6430i | −0.306515 | + | 1.14393i | ||||
\(188\) | 2.60903 | + | 2.60903i | 0.190283 | + | 0.190283i | ||||
\(189\) | 9.48121 | − | 9.95523i | 0.689656 | − | 0.724137i | ||||
\(190\) | −4.28637 | + | 13.2204i | −0.310966 | + | 0.959110i | ||||
\(191\) | 23.3890 | − | 13.5036i | 1.69237 | − | 0.977088i | 0.739764 | − | 0.672867i | \(-0.234937\pi\) |
0.952601 | − | 0.304221i | \(-0.0983962\pi\) | |||||||
\(192\) | 4.05449 | + | 1.38097i | 0.292607 | + | 0.0996630i | ||||
\(193\) | 1.82752 | + | 6.82039i | 0.131548 | + | 0.490943i | 0.999988 | − | 0.00485068i | \(-0.00154402\pi\) |
−0.868441 | + | 0.495793i | \(0.834877\pi\) | |||||||
\(194\) | −14.9388 | −1.07254 | ||||||||
\(195\) | −19.7294 | − | 2.34313i | −1.41285 | − | 0.167795i | ||||
\(196\) | 5.81218 | + | 0.442311i | 0.415156 | + | 0.0315936i | ||||
\(197\) | 17.3124 | − | 17.3124i | 1.23346 | − | 1.23346i | 0.270831 | − | 0.962627i | \(-0.412701\pi\) |
0.962627 | − | 0.270831i | \(-0.0872986\pi\) | |||||||
\(198\) | 23.1898 | − | 17.7184i | 1.64803 | − | 1.25919i | ||||
\(199\) | 4.51831 | − | 2.60865i | 0.320295 | − | 0.184922i | −0.331229 | − | 0.943550i | \(-0.607463\pi\) |
0.651524 | + | 0.758628i | \(0.274130\pi\) | |||||||
\(200\) | −9.70023 | + | 1.54889i | −0.685910 | + | 0.109523i | ||||
\(201\) | 0.438423 | − | 6.58513i | 0.0309240 | − | 0.464480i | ||||
\(202\) | −2.63933 | + | 9.85013i | −0.185703 | + | 0.693053i | ||||
\(203\) | −0.469960 | + | 1.52046i | −0.0329847 | + | 0.106715i | ||||
\(204\) | −3.62627 | + | 1.78364i | −0.253889 | + | 0.124880i | ||||
\(205\) | 0.0870866 | + | 0.0564768i | 0.00608239 | + | 0.00394451i | ||||
\(206\) | −20.3950 | + | 11.7750i | −1.42098 | + | 0.820405i | ||||
\(207\) | −1.50434 | − | 11.6113i | −0.104559 | − | 0.807043i | ||||
\(208\) | 6.60143 | + | 24.6369i | 0.457727 | + | 1.70826i | ||||
\(209\) | −10.6723 | + | 18.4849i | −0.738218 | + | 1.27863i | ||||
\(210\) | 17.1502 | − | 1.81804i | 1.18348 | − | 0.125457i | ||||
\(211\) | −8.18572 | − | 14.1781i | −0.563528 | − | 0.976059i | −0.997185 | − | 0.0749813i | \(-0.976110\pi\) |
0.433657 | − | 0.901078i | \(-0.357223\pi\) | |||||||
\(212\) | 6.11412 | − | 6.11412i | 0.419919 | − | 0.419919i | ||||
\(213\) | 8.17759 | + | 2.78531i | 0.560319 | + | 0.190846i | ||||
\(214\) | − | 3.94871i | − | 0.269928i | ||||||
\(215\) | 4.08225 | − | 3.68033i | 0.278407 | − | 0.250996i | ||||
\(216\) | −10.0061 | − | 2.02249i | −0.680830 | − | 0.137613i | ||||
\(217\) | −3.35149 | + | 10.8430i | −0.227514 | + | 0.736073i | ||||
\(218\) | 0.127261 | − | 0.0340995i | 0.00861921 | − | 0.00230951i | ||||
\(219\) | −9.62403 | + | 14.3713i | −0.650332 | + | 0.971124i | ||||
\(220\) | 10.7479 | + | 0.556487i | 0.724622 | + | 0.0375183i | ||||
\(221\) | 12.4478 | + | 7.18674i | 0.837330 | + | 0.483433i | ||||
\(222\) | 6.40945 | − | 18.8180i | 0.430174 | − | 1.26298i | ||||
\(223\) | −4.79865 | − | 17.9088i | −0.321341 | − | 1.19926i | −0.917939 | − | 0.396721i | \(-0.870148\pi\) |
0.596598 | − | 0.802540i | \(-0.296519\pi\) | |||||||
\(224\) | −5.48182 | − | 10.3866i | −0.366270 | − | 0.693985i | ||||
\(225\) | 14.3857 | − | 4.24872i | 0.959047 | − | 0.283248i | ||||
\(226\) | 2.73723 | − | 4.74102i | 0.182078 | − | 0.315368i | ||||
\(227\) | −13.9460 | + | 13.9460i | −0.925631 | + | 0.925631i | −0.997420 | − | 0.0717885i | \(-0.977129\pi\) |
0.0717885 | + | 0.997420i | \(0.477129\pi\) | |||||||
\(228\) | −5.22495 | + | 1.03372i | −0.346031 | + | 0.0684595i | ||||
\(229\) | 24.7606i | 1.63623i | 0.575057 | + | 0.818113i | \(0.304980\pi\) | ||||
−0.575057 | + | 0.818113i | \(0.695020\pi\) | |||||||
\(230\) | 7.99188 | − | 12.3234i | 0.526969 | − | 0.812580i | ||||
\(231\) | 26.3427 | + | 2.76172i | 1.73322 | + | 0.181708i | ||||
\(232\) | 1.14146 | − | 0.305854i | 0.0749406 | − | 0.0200803i | ||||
\(233\) | 9.80067 | − | 2.62608i | 0.642064 | − | 0.172040i | 0.0769256 | − | 0.997037i | \(-0.475490\pi\) |
0.565138 | + | 0.824996i | \(0.308823\pi\) | |||||||
\(234\) | −9.86293 | − | 23.9506i | −0.644760 | − | 1.56570i | ||||
\(235\) | 2.06608 | + | 9.69014i | 0.134776 | + | 0.632115i | ||||
\(236\) | −4.31334 | + | 2.49031i | −0.280775 | + | 0.162105i | ||||
\(237\) | −4.57710 | − | 23.1351i | −0.297315 | − | 1.50279i | ||||
\(238\) | −11.9204 | − | 3.68448i | −0.772682 | − | 0.238829i | ||||
\(239\) | −2.63822 | − | 4.56953i | −0.170652 | − | 0.295578i | 0.767996 | − | 0.640455i | \(-0.221254\pi\) |
−0.938648 | + | 0.344877i | \(0.887921\pi\) | |||||||
\(240\) | −11.9156 | − | 15.1272i | −0.769146 | − | 0.976460i | ||||
\(241\) | 3.63556 | 0.234187 | 0.117094 | − | 0.993121i | \(-0.462642\pi\) | ||||
0.117094 | + | 0.993121i | \(0.462642\pi\) | |||||||
\(242\) | 36.4287 | + | 9.76104i | 2.34173 | + | 0.627463i | ||||
\(243\) | 15.5496 | + | 1.09960i | 0.997509 | + | 0.0705397i | ||||
\(244\) | 0.216782i | 0.0138780i | ||||||||
\(245\) | 12.4485 | + | 9.48865i | 0.795307 | + | 0.606207i | ||||
\(246\) | −0.00898934 | + | 0.135020i | −0.000573139 | + | 0.00860858i | ||||
\(247\) | 13.3955 | + | 13.3955i | 0.852334 | + | 0.852334i | ||||
\(248\) | 8.14025 | − | 2.18117i | 0.516907 | − | 0.138505i | ||||
\(249\) | −0.620331 | + | 9.31740i | −0.0393119 | + | 0.590466i | ||||
\(250\) | 17.2048 | + | 7.62118i | 1.08813 | + | 0.482006i | ||||
\(251\) | 10.0487i | 0.634268i | 0.948381 | + | 0.317134i | \(0.102720\pi\) | ||||
−0.948381 | + | 0.317134i | \(0.897280\pi\) | |||||||
\(252\) | 3.81048 | + | 5.40048i | 0.240037 | + | 0.340198i | ||||
\(253\) | 15.9509 | − | 15.9509i | 1.00282 | − | 1.00282i | ||||
\(254\) | 9.51554 | + | 16.4814i | 0.597058 | + | 1.03414i | ||||
\(255\) | −10.7760 | − | 1.27979i | −0.674818 | − | 0.0801438i | ||||
\(256\) | −8.50073 | + | 14.7237i | −0.531296 | + | 0.920231i | ||||
\(257\) | 9.83080 | − | 9.83080i | 0.613228 | − | 0.613228i | −0.330557 | − | 0.943786i | \(-0.607237\pi\) |
0.943786 | + | 0.330557i | \(0.107237\pi\) | |||||||
\(258\) | 6.78289 | + | 2.31027i | 0.422284 | + | 0.143831i | ||||
\(259\) | 15.9564 | − | 8.42142i | 0.991482 | − | 0.523282i | ||||
\(260\) | 2.94598 | − | 9.08625i | 0.182702 | − | 0.563506i | ||||
\(261\) | −1.66857 | + | 0.687122i | −0.103282 | + | 0.0425318i | ||||
\(262\) | −5.10044 | + | 19.0351i | −0.315106 | + | 1.17599i | ||||
\(263\) | 6.04934 | + | 6.04934i | 0.373018 | + | 0.373018i | 0.868575 | − | 0.495557i | \(-0.165036\pi\) |
−0.495557 | + | 0.868575i | \(0.665036\pi\) | |||||||
\(264\) | −8.68083 | − | 17.6488i | −0.534268 | − | 1.08621i | ||||
\(265\) | 22.7083 | − | 4.84175i | 1.39496 | − | 0.297426i | ||||
\(266\) | −13.9187 | − | 8.75691i | −0.853410 | − | 0.536920i | ||||
\(267\) | 1.08459 | + | 1.23931i | 0.0663758 | + | 0.0758445i | ||||
\(268\) | 3.06481 | + | 0.821213i | 0.187213 | + | 0.0501636i | ||||
\(269\) | 6.48075 | + | 11.2250i | 0.395138 | + | 0.684399i | 0.993119 | − | 0.117111i | \(-0.0373634\pi\) |
−0.597981 | + | 0.801511i | \(0.704030\pi\) | |||||||
\(270\) | 13.9740 | + | 13.6800i | 0.850432 | + | 0.832540i | ||||
\(271\) | −8.50968 | + | 14.7392i | −0.516926 | + | 0.895342i | 0.482881 | + | 0.875686i | \(0.339590\pi\) |
−0.999807 | + | 0.0196561i | \(0.993743\pi\) | |||||||
\(272\) | 3.60563 | + | 13.4564i | 0.218624 | + | 0.815914i | ||||
\(273\) | 8.41881 | − | 21.9490i | 0.509529 | − | 1.32841i | ||||
\(274\) | −19.4773 | + | 11.2452i | −1.17667 | + | 0.679348i | ||||
\(275\) | 23.4017 | + | 16.9574i | 1.41118 | + | 1.02257i | ||||
\(276\) | 5.61656 | + | 0.373938i | 0.338077 | + | 0.0225084i | ||||
\(277\) | −18.3199 | − | 18.3199i | −1.10074 | − | 1.10074i | −0.994322 | − | 0.106417i | \(-0.966062\pi\) |
−0.106417 | − | 0.994322i | \(-0.533938\pi\) | |||||||
\(278\) | 10.1581 | − | 2.72187i | 0.609245 | − | 0.163247i | ||||
\(279\) | −11.8993 | + | 4.90016i | −0.712392 | + | 0.293365i | ||||
\(280\) | 1.04126 | − | 11.5761i | 0.0622271 | − | 0.691806i | ||||
\(281\) | −25.6887 | − | 14.8314i | −1.53246 | − | 0.884767i | −0.999247 | − | 0.0387873i | \(-0.987651\pi\) |
−0.533215 | − | 0.845980i | \(-0.679016\pi\) | |||||||
\(282\) | −9.72026 | + | 8.50674i | −0.578833 | + | 0.506569i | ||||
\(283\) | −1.71860 | − | 6.41388i | −0.102160 | − | 0.381266i | 0.895848 | − | 0.444361i | \(-0.146569\pi\) |
−0.998007 | + | 0.0630955i | \(0.979903\pi\) | |||||||
\(284\) | −2.07665 | + | 3.59687i | −0.123227 | + | 0.213435i | ||||
\(285\) | −13.2821 | − | 5.30518i | −0.786764 | − | 0.314252i | ||||
\(286\) | 24.9519 | − | 43.2180i | 1.47544 | − | 2.55554i | ||||
\(287\) | −0.0900770 | + | 0.0834825i | −0.00531708 | + | 0.00492782i | ||||
\(288\) | 5.12151 | − | 12.2928i | 0.301788 | − | 0.724357i | ||||
\(289\) | −7.92357 | − | 4.57468i | −0.466092 | − | 0.269099i | ||||
\(290\) | −2.15337 | − | 0.698175i | −0.126451 | − | 0.0409983i | ||||
\(291\) | 1.02128 | − | 15.3396i | 0.0598683 | − | 0.899225i | ||||
\(292\) | −5.87989 | − | 5.87989i | −0.344094 | − | 0.344094i | ||||
\(293\) | −1.20343 | + | 4.49127i | −0.0703052 | + | 0.262383i | −0.992128 | − | 0.125229i | \(-0.960033\pi\) |
0.921823 | + | 0.387612i | \(0.126700\pi\) | |||||||
\(294\) | −2.89670 | + | 20.1995i | −0.168939 | + | 1.17806i | ||||
\(295\) | −13.3565 | − | 0.691550i | −0.777644 | − | 0.0402636i | ||||
\(296\) | −11.6026 | − | 6.69875i | −0.674386 | − | 0.389357i | ||||
\(297\) | 16.6085 | + | 25.0233i | 0.963722 | + | 1.45200i | ||||
\(298\) | −14.6067 | − | 3.91385i | −0.846143 | − | 0.226723i | ||||
\(299\) | −10.0105 | − | 17.3386i | −0.578921 | − | 1.00272i | ||||
\(300\) | 0.661513 | + | 7.18110i | 0.0381925 | + | 0.414601i | ||||
\(301\) | 3.03548 | + | 5.75145i | 0.174962 | + | 0.331508i | ||||
\(302\) | −1.30752 | − | 0.350348i | −0.0752391 | − | 0.0201602i | ||||
\(303\) | −9.93398 | − | 3.38354i | −0.570692 | − | 0.194380i | ||||
\(304\) | 18.3610i | 1.05308i | ||||||||
\(305\) | −0.316737 | + | 0.488406i | −0.0181363 | + | 0.0279660i | ||||
\(306\) | −5.38703 | − | 13.0816i | −0.307956 | − | 0.747824i | ||||
\(307\) | −3.42180 | − | 3.42180i | −0.195292 | − | 0.195292i | 0.602686 | − | 0.797978i | \(-0.294097\pi\) |
−0.797978 | + | 0.602686i | \(0.794097\pi\) | |||||||
\(308\) | −3.76046 | + | 12.1662i | −0.214272 | + | 0.693233i | ||||
\(309\) | −10.6967 | − | 21.7472i | −0.608513 | − | 1.23715i | ||||
\(310\) | −15.3567 | − | 4.97899i | −0.872199 | − | 0.282788i | ||||
\(311\) | 21.7248 | + | 12.5428i | 1.23190 | + | 0.711239i | 0.967426 | − | 0.253154i | \(-0.0814679\pi\) |
0.264475 | + | 0.964392i | \(0.414801\pi\) | |||||||
\(312\) | −17.1243 | + | 3.38790i | −0.969470 | + | 0.191802i | ||||
\(313\) | −25.8953 | − | 6.93863i | −1.46369 | − | 0.392195i | −0.562927 | − | 0.826506i | \(-0.690325\pi\) |
−0.900763 | + | 0.434312i | \(0.856992\pi\) | |||||||
\(314\) | 34.5200 | 1.94807 | ||||||||
\(315\) | 0.694364 | + | 17.7347i | 0.0391230 | + | 0.999234i | ||||
\(316\) | 11.3382 | 0.637823 | ||||||||
\(317\) | −24.5981 | − | 6.59104i | −1.38157 | − | 0.370189i | −0.509876 | − | 0.860248i | \(-0.670309\pi\) |
−0.871690 | + | 0.490058i | \(0.836975\pi\) | |||||||
\(318\) | 19.9351 | + | 22.7789i | 1.11790 | + | 1.27738i | ||||
\(319\) | −3.01087 | − | 1.73833i | −0.168577 | − | 0.0973277i | ||||
\(320\) | −4.92534 | + | 2.51349i | −0.275335 | + | 0.140508i | ||||
\(321\) | 4.05465 | + | 0.269949i | 0.226309 | + | 0.0150671i | ||||
\(322\) | 11.8134 | + | 12.7465i | 0.658334 | + | 0.710337i | ||||
\(323\) | 7.31647 | + | 7.31647i | 0.407099 | + | 0.407099i | ||||
\(324\) | −1.96950 | + | 7.23100i | −0.109417 | + | 0.401722i | ||||
\(325\) | 19.9131 | − | 16.1669i | 1.10458 | − | 0.896776i | ||||
\(326\) | − | 24.2759i | − | 1.34452i | ||||||
\(327\) | 0.0263144 | + | 0.133007i | 0.00145519 | + | 0.00735530i | ||||
\(328\) | 0.0880887 | + | 0.0236033i | 0.00486389 | + | 0.00130327i | ||||
\(329\) | −11.7148 | − | 0.445108i | −0.645857 | − | 0.0245396i | ||||
\(330\) | −4.44337 | + | 37.4136i | −0.244599 | + | 2.05955i | ||||
\(331\) | 7.91445 | + | 13.7082i | 0.435017 | + | 0.753472i | 0.997297 | − | 0.0734750i | \(-0.0234089\pi\) |
−0.562280 | + | 0.826947i | \(0.690076\pi\) | |||||||
\(332\) | −4.33644 | − | 1.16195i | −0.237993 | − | 0.0637701i | ||||
\(333\) | 18.8847 | + | 7.86789i | 1.03487 | + | 0.431158i | ||||
\(334\) | −13.2551 | − | 7.65281i | −0.725284 | − | 0.418743i | ||||
\(335\) | 5.70511 | + | 6.32815i | 0.311703 | + | 0.345744i | ||||
\(336\) | 20.8124 | − | 9.27282i | 1.13541 | − | 0.505874i | ||||
\(337\) | 5.89322 | − | 21.9938i | 0.321024 | − | 1.19808i | −0.597225 | − | 0.802074i | \(-0.703730\pi\) |
0.918249 | − | 0.396004i | \(-0.129603\pi\) | |||||||
\(338\) | −15.8474 | − | 15.8474i | −0.861985 | − | 0.861985i | ||||
\(339\) | 4.68110 | + | 3.13479i | 0.254243 | + | 0.170258i | ||||
\(340\) | 1.60906 | − | 4.96282i | 0.0872637 | − | 0.269146i | ||||
\(341\) | −21.4719 | − | 12.3968i | −1.16277 | − | 0.671323i | ||||
\(342\) | −2.39572 | − | 18.4915i | −0.129546 | − | 0.999905i | ||||
\(343\) | −14.4997 | + | 11.5221i | −0.782910 | + | 0.622135i | ||||
\(344\) | 2.41455 | − | 4.18212i | 0.130184 | − | 0.225485i | ||||
\(345\) | 12.1077 | + | 9.04878i | 0.651856 | + | 0.487170i | ||||
\(346\) | 17.6722 | − | 30.6092i | 0.950064 | − | 1.64556i | ||||
\(347\) | −3.09853 | − | 11.5639i | −0.166338 | − | 0.620782i | −0.997866 | − | 0.0652987i | \(-0.979200\pi\) |
0.831528 | − | 0.555483i | \(-0.187467\pi\) | |||||||
\(348\) | −0.168374 | − | 0.851054i | −0.00902581 | − | 0.0456213i | ||||
\(349\) | 9.21413 | + | 5.31978i | 0.493221 | + | 0.284761i | 0.725910 | − | 0.687790i | \(-0.241419\pi\) |
−0.232689 | + | 0.972551i | \(0.574752\pi\) | |||||||
\(350\) | −13.7394 | + | 17.5201i | −0.734401 | + | 0.936489i | ||||
\(351\) | 25.2675 | − | 8.49021i | 1.34868 | − | 0.453174i | ||||
\(352\) | 24.7829 | − | 6.64055i | 1.32093 | − | 0.353942i | ||||
\(353\) | −0.402327 | − | 0.402327i | −0.0214137 | − | 0.0214137i | 0.696319 | − | 0.717733i | \(-0.254820\pi\) |
−0.717733 | + | 0.696319i | \(0.754820\pi\) | |||||||
\(354\) | −7.69569 | − | 15.6459i | −0.409022 | − | 0.831571i | ||||
\(355\) | −9.93402 | + | 5.06952i | −0.527243 | + | 0.269062i | ||||
\(356\) | −0.685691 | + | 0.395884i | −0.0363415 | + | 0.0209818i | ||||
\(357\) | 4.59826 | − | 11.9883i | 0.243366 | − | 0.634489i | ||||
\(358\) | 3.15665 | + | 11.7808i | 0.166834 | + | 0.622633i | ||||
\(359\) | −14.6803 | + | 25.4271i | −0.774798 | + | 1.34199i | 0.160110 | + | 0.987099i | \(0.448815\pi\) |
−0.934908 | + | 0.354890i | \(0.884518\pi\) | |||||||
\(360\) | 10.8719 | − | 7.44918i | 0.572999 | − | 0.392606i | ||||
\(361\) | −2.68136 | − | 4.64425i | −0.141124 | − | 0.244434i | ||||
\(362\) | 12.0749 | + | 3.23545i | 0.634641 | + | 0.170051i | ||||
\(363\) | −12.5133 | + | 36.7388i | −0.656781 | + | 1.92829i | ||||
\(364\) | 9.56617 | + | 6.01853i | 0.501404 | + | 0.315457i | ||||
\(365\) | −4.65626 | − | 21.8384i | −0.243720 | − | 1.14307i | ||||
\(366\) | −0.757231 | − | 0.0504147i | −0.0395811 | − | 0.00263522i | ||||
\(367\) | −23.2628 | − | 23.2628i | −1.21431 | − | 1.21431i | −0.969595 | − | 0.244714i | \(-0.921306\pi\) |
−0.244714 | − | 0.969595i | \(-0.578694\pi\) | |||||||
\(368\) | 5.02231 | − | 18.7435i | 0.261806 | − | 0.977074i | ||||
\(369\) | −0.138028 | − | 0.0184611i | −0.00718548 | − | 0.000961044i | ||||
\(370\) | 11.6658 | + | 22.8598i | 0.606475 | + | 1.18842i | ||||
\(371\) | −1.04309 | + | 27.4530i | −0.0541543 | + | 1.42529i | ||||
\(372\) | −1.20075 | − | 6.06923i | −0.0622560 | − | 0.314675i | ||||
\(373\) | 13.7523 | − | 13.7523i | 0.712067 | − | 0.712067i | −0.254900 | − | 0.966967i | \(-0.582043\pi\) |
0.966967 | + | 0.254900i | \(0.0820426\pi\) | |||||||
\(374\) | 13.6285 | − | 23.6052i | 0.704712 | − | 1.22060i | ||||
\(375\) | −9.00186 | + | 17.1455i | −0.464854 | + | 0.885387i | ||||
\(376\) | 4.35259 | + | 7.53890i | 0.224468 | + | 0.388789i | ||||
\(377\) | −2.18189 | + | 2.18189i | −0.112373 | + | 0.112373i | ||||
\(378\) | −19.7504 | + | 12.0543i | −1.01585 | + | 0.620006i | ||||
\(379\) | 11.3129i | 0.581104i | 0.956859 | + | 0.290552i | \(0.0938390\pi\) | ||||
−0.956859 | + | 0.290552i | \(0.906161\pi\) | |||||||
\(380\) | 3.74138 | − | 5.76917i | 0.191929 | − | 0.295952i | ||||
\(381\) | −17.5741 | + | 8.64412i | −0.900350 | + | 0.442852i | ||||
\(382\) | −43.9061 | + | 11.7646i | −2.24643 | + | 0.601930i | ||||
\(383\) | 2.43811 | + | 2.43811i | 0.124582 | + | 0.124582i | 0.766649 | − | 0.642067i | \(-0.221923\pi\) |
−0.642067 | + | 0.766649i | \(0.721923\pi\) | |||||||
\(384\) | −18.7667 | − | 12.5675i | −0.957683 | − | 0.641331i | ||||
\(385\) | −26.2482 | + | 21.9159i | −1.33773 | + | 1.11694i | ||||
\(386\) | − | 11.8841i | − | 0.604886i | ||||||
\(387\) | −2.83597 | + | 6.80694i | −0.144160 | + | 0.346016i | ||||
\(388\) | 7.13927 | + | 1.91296i | 0.362442 | + | 0.0971159i | ||||
\(389\) | −25.1775 | −1.27655 | −0.638274 | − | 0.769809i | \(-0.720351\pi\) | ||||
−0.638274 | + | 0.769809i | \(0.720351\pi\) | |||||||
\(390\) | 31.0537 | + | 12.4036i | 1.57247 | + | 0.628080i | ||||
\(391\) | −5.46761 | − | 9.47019i | −0.276509 | − | 0.478928i | ||||
\(392\) | 12.9754 | + | 4.55710i | 0.655355 | + | 0.230168i | ||||
\(393\) | −19.1972 | − | 6.53861i | −0.968368 | − | 0.329829i | ||||
\(394\) | −35.6865 | + | 20.6036i | −1.79786 | + | 1.03800i | ||||
\(395\) | 25.5448 | + | 16.5661i | 1.28530 | + | 0.833532i | ||||
\(396\) | −13.3513 | + | 5.49812i | −0.670930 | + | 0.276291i | ||||
\(397\) | 14.4004 | − | 3.85859i | 0.722738 | − | 0.193657i | 0.121345 | − | 0.992610i | \(-0.461279\pi\) |
0.601393 | + | 0.798953i | \(0.294613\pi\) | |||||||
\(398\) | −8.48186 | + | 2.27271i | −0.425157 | + | 0.113920i | ||||
\(399\) | 9.94340 | − | 13.6935i | 0.497793 | − | 0.685532i | ||||
\(400\) | 24.7271 | + | 2.56745i | 1.23636 | + | 0.128372i | ||||
\(401\) | − | 10.1707i | − | 0.507900i | −0.967217 | − | 0.253950i | \(-0.918270\pi\) | ||
0.967217 | − | 0.253950i | \(-0.0817299\pi\) | |||||||
\(402\) | −3.58130 | + | 10.5146i | −0.178619 | + | 0.524420i | ||||
\(403\) | −15.5600 | + | 15.5600i | −0.775099 | + | 0.775099i | ||||
\(404\) | 2.52268 | − | 4.36941i | 0.125508 | − | 0.217386i | ||||
\(405\) | −15.0024 | + | 13.4137i | −0.745475 | + | 0.666534i | ||||
\(406\) | 1.42635 | − | 2.26711i | 0.0707884 | − | 0.112515i | ||||
\(407\) | 10.2015 | + | 38.0726i | 0.505670 | + | 1.88719i | ||||
\(408\) | −9.35309 | + | 1.85043i | −0.463047 | + | 0.0916102i | ||||
\(409\) | 9.91700 | + | 5.72558i | 0.490364 | + | 0.283112i | 0.724726 | − | 0.689038i | \(-0.241967\pi\) |
−0.234361 | + | 0.972150i | \(0.575300\pi\) | |||||||
\(410\) | −0.116976 | − | 0.129751i | −0.00577705 | − | 0.00640795i | ||||
\(411\) | −10.2154 | − | 20.7686i | −0.503888 | − | 1.02444i | ||||
\(412\) | 11.2546 | − | 3.01566i | 0.554474 | − | 0.148571i | ||||
\(413\) | 4.67316 | − | 15.1190i | 0.229951 | − | 0.743958i | ||||
\(414\) | −2.61237 | + | 19.5320i | −0.128391 | + | 0.959947i | ||||
\(415\) | −8.07224 | − | 8.95379i | −0.396251 | − | 0.439524i | ||||
\(416\) | − | 22.7716i | − | 1.11647i | ||||||
\(417\) | 2.10044 | + | 10.6168i | 0.102859 | + | 0.519905i | ||||
\(418\) | 25.4023 | − | 25.4023i | 1.24247 | − | 1.24247i | ||||
\(419\) | −14.8220 | − | 25.6724i | −0.724100 | − | 1.25418i | −0.959343 | − | 0.282242i | \(-0.908922\pi\) |
0.235243 | − | 0.971937i | \(-0.424411\pi\) | |||||||
\(420\) | −8.42890 | − | 1.32729i | −0.411288 | − | 0.0647653i | ||||
\(421\) | −5.47489 | + | 9.48279i | −0.266830 | + | 0.462163i | −0.968041 | − | 0.250790i | \(-0.919310\pi\) |
0.701211 | + | 0.712953i | \(0.252643\pi\) | |||||||
\(422\) | 7.13156 | + | 26.6153i | 0.347159 | + | 1.29561i | ||||
\(423\) | −8.07047 | − | 10.5626i | −0.392400 | − | 0.513572i | ||||
\(424\) | 17.6670 | − | 10.2001i | 0.857986 | − | 0.495359i | ||||
\(425\) | 10.8763 | − | 8.83017i | 0.527579 | − | 0.428326i | ||||
\(426\) | −12.0811 | − | 8.09037i | −0.585333 | − | 0.391980i | ||||
\(427\) | −0.468193 | − | 0.505177i | −0.0226574 | − | 0.0244472i | ||||
\(428\) | −0.505644 | + | 1.88709i | −0.0244412 | + | 0.0912160i | ||||
\(429\) | 42.6718 | + | 28.5760i | 2.06021 | + | 1.37966i | ||||
\(430\) | −8.23976 | + | 4.20491i | −0.397357 | + | 0.202779i | ||||
\(431\) | −1.68217 | + | 0.971200i | −0.0810271 | + | 0.0467810i | −0.539966 | − | 0.841687i | \(-0.681563\pi\) |
0.458939 | + | 0.888468i | \(0.348230\pi\) | |||||||
\(432\) | 23.1356 | + | 11.4982i | 1.11311 | + | 0.553208i | ||||
\(433\) | −18.4087 | + | 18.4087i | −0.884664 | + | 0.884664i | −0.994004 | − | 0.109341i | \(-0.965126\pi\) |
0.109341 | + | 0.994004i | \(0.465126\pi\) | |||||||
\(434\) | 10.1719 | − | 16.1678i | 0.488267 | − | 0.776077i | ||||
\(435\) | 0.864121 | − | 2.16342i | 0.0414314 | − | 0.103728i | ||||
\(436\) | −0.0651848 | −0.00312178 | ||||||||
\(437\) | −3.73023 | − | 13.9214i | −0.178441 | − | 0.665951i | ||||
\(438\) | 21.9062 | − | 19.1714i | 1.04672 | − | 0.916044i | ||||
\(439\) | −11.9970 | + | 6.92649i | −0.572587 | + | 0.330583i | −0.758182 | − | 0.652043i | \(-0.773912\pi\) |
0.185595 | + | 0.982626i | \(0.440579\pi\) | |||||||
\(440\) | 24.1536 | + | 7.83119i | 1.15148 | + | 0.373337i | ||||
\(441\) | −20.5434 | − | 4.35534i | −0.978257 | − | 0.207397i | ||||
\(442\) | −17.1060 | − | 17.1060i | −0.813649 | − | 0.813649i | ||||
\(443\) | 7.64150 | − | 28.5185i | 0.363059 | − | 1.35495i | −0.506975 | − | 0.861961i | \(-0.669236\pi\) |
0.870034 | − | 0.492992i | \(-0.164097\pi\) | |||||||
\(444\) | −5.47278 | + | 8.17236i | −0.259727 | + | 0.387843i | ||||
\(445\) | −2.12327 | − | 0.109935i | −0.100653 | − | 0.00521144i | ||||
\(446\) | 31.2050i | 1.47760i | ||||||||
\(447\) | 5.01743 | − | 14.7310i | 0.237316 | − | 0.696754i | ||||
\(448\) | −1.45221 | − | 6.37952i | −0.0686105 | − | 0.301404i | ||||
\(449\) | −16.2033 | −0.764681 | −0.382340 | − | 0.924022i | \(-0.624882\pi\) | ||||
−0.382340 | + | 0.924022i | \(0.624882\pi\) | |||||||
\(450\) | −25.2379 | + | 0.640671i | −1.18972 | + | 0.0302015i | ||||
\(451\) | −0.134150 | − | 0.232355i | −0.00631689 | − | 0.0109412i | ||||
\(452\) | −1.91523 | + | 1.91523i | −0.0900848 | + | 0.0900848i | ||||
\(453\) | 0.449135 | − | 1.31865i | 0.0211022 | − | 0.0619554i | ||||
\(454\) | 28.7474 | − | 16.5973i | 1.34918 | − | 0.778950i | ||||
\(455\) | 12.7588 | + | 27.5367i | 0.598144 | + | 1.29094i | ||||
\(456\) | −12.5384 | − | 0.834779i | −0.587166 | − | 0.0390921i | ||||
\(457\) | 4.03576 | − | 15.0617i | 0.188785 | − | 0.704555i | −0.805004 | − | 0.593270i | \(-0.797837\pi\) |
0.993789 | − | 0.111285i | \(-0.0354966\pi\) | |||||||
\(458\) | 10.7860 | − | 40.2537i | 0.503995 | − | 1.88093i | ||||
\(459\) | 13.8008 | − | 4.63726i | 0.644168 | − | 0.216449i | ||||
\(460\) | −5.39737 | + | 4.86597i | −0.251654 | + | 0.226877i | ||||
\(461\) | 20.9053 | + | 12.0697i | 0.973658 | + | 0.562142i | 0.900349 | − | 0.435168i | \(-0.143311\pi\) |
0.0733083 | + | 0.997309i | \(0.476644\pi\) | |||||||
\(462\) | −41.6227 | − | 15.9649i | −1.93646 | − | 0.742754i | ||||
\(463\) | 32.8113 | + | 8.79175i | 1.52487 | + | 0.408587i | 0.921341 | − | 0.388755i | \(-0.127095\pi\) |
0.603527 | + | 0.797342i | \(0.293761\pi\) | |||||||
\(464\) | −2.99069 | −0.138839 | ||||||||
\(465\) | 6.16242 | − | 15.4283i | 0.285776 | − | 0.715470i | ||||
\(466\) | −17.0771 | −0.791080 | ||||||||
\(467\) | 0.169822 | + | 0.633783i | 0.00785841 | + | 0.0293280i | 0.969744 | − | 0.244125i | \(-0.0785008\pi\) |
−0.961885 | + | 0.273453i | \(0.911834\pi\) | |||||||
\(468\) | 1.64655 | + | 12.7090i | 0.0761119 | + | 0.587474i | ||||
\(469\) | −8.91569 | + | 4.70550i | −0.411688 | + | 0.217280i | ||||
\(470\) | 0.862255 | − | 16.6534i | 0.0397728 | − | 0.768165i | ||||
\(471\) | −2.35992 | + | 35.4462i | −0.108740 | + | 1.63327i | ||||
\(472\) | −11.3504 | + | 3.04133i | −0.522444 | + | 0.139988i | ||||
\(473\) | −13.7232 | + | 3.67711i | −0.630992 | + | 0.169074i | ||||
\(474\) | −2.63681 | + | 39.6050i | −0.121113 | + | 1.81912i | ||||
\(475\) | 16.8585 | − | 7.53136i | 0.773523 | − | 0.345563i | ||||
\(476\) | 5.22494 | + | 3.28726i | 0.239485 | + | 0.150671i | ||||
\(477\) | −24.7529 | + | 18.9127i | −1.13336 | + | 0.865954i | ||||
\(478\) | 2.29847 | + | 8.57799i | 0.105129 | + | 0.392348i | ||||
\(479\) | −2.65985 | −0.121532 | −0.0607659 | − | 0.998152i | \(-0.519354\pi\) | ||||
−0.0607659 | + | 0.998152i | \(0.519354\pi\) | |||||||
\(480\) | 6.78017 | + | 15.7987i | 0.309471 | + | 0.721108i | ||||
\(481\) | 34.9828 | 1.59508 | ||||||||
\(482\) | −5.91040 | − | 1.58369i | −0.269211 | − | 0.0721349i | ||||
\(483\) | −13.8962 | + | 11.2589i | −0.632297 | + | 0.512300i | ||||
\(484\) | −16.1594 | − | 9.32962i | −0.734517 | − | 0.424074i | ||||
\(485\) | 13.2897 | + | 14.7410i | 0.603453 | + | 0.669354i | ||||
\(486\) | −24.8003 | − | 8.56121i | −1.12496 | − | 0.388345i | ||||
\(487\) | 0.768573 | − | 2.86836i | 0.0348274 | − | 0.129978i | −0.946323 | − | 0.323221i | \(-0.895234\pi\) |
0.981151 | + | 0.193244i | \(0.0619008\pi\) | |||||||
\(488\) | −0.132374 | + | 0.494026i | −0.00599228 | + | 0.0223635i | ||||
\(489\) | 24.9272 | + | 1.65960i | 1.12725 | + | 0.0750495i | ||||
\(490\) | −16.1044 | − | 20.8486i | −0.727524 | − | 0.941842i | ||||
\(491\) | −7.73296 | + | 4.46462i | −0.348983 | + | 0.201486i | −0.664237 | − | 0.747522i | \(-0.731244\pi\) |
0.315254 | + | 0.949007i | \(0.397910\pi\) | |||||||
\(492\) | 0.0215858 | − | 0.0633752i | 0.000973163 | − | 0.00285718i | ||||
\(493\) | −1.19172 | + | 1.19172i | −0.0536726 | + | 0.0536726i | ||||
\(494\) | −15.9421 | − | 27.6125i | −0.717267 | − | 1.24234i | ||||
\(495\) | −38.1137 | − | 7.12033i | −1.71308 | − | 0.320035i | ||||
\(496\) | −21.3279 | −0.957650 | ||||||||
\(497\) | −2.92900 | − | 12.8670i | −0.131383 | − | 0.577164i | ||||
\(498\) | 5.06723 | − | 14.8772i | 0.227068 | − | 0.666665i | ||||
\(499\) | − | 26.4915i | − | 1.18592i | −0.805231 | − | 0.592961i | \(-0.797959\pi\) | ||
0.805231 | − | 0.592961i | \(-0.202041\pi\) | |||||||
\(500\) | −7.24629 | − | 5.84530i | −0.324064 | − | 0.261410i | ||||
\(501\) | 8.76431 | − | 13.0875i | 0.391560 | − | 0.584707i | ||||
\(502\) | 4.37731 | − | 16.3363i | 0.195369 | − | 0.729126i | ||||
\(503\) | 1.46414 | + | 1.46414i | 0.0652830 | + | 0.0652830i | 0.738994 | − | 0.673711i | \(-0.235301\pi\) |
−0.673711 | + | 0.738994i | \(0.735301\pi\) | |||||||
\(504\) | 5.38603 | + | 14.6340i | 0.239913 | + | 0.651851i | ||||
\(505\) | 12.0677 | − | 6.15836i | 0.537004 | − | 0.274043i | ||||
\(506\) | −32.8799 | + | 18.9832i | −1.46169 | + | 0.843908i | ||||
\(507\) | 17.3560 | − | 15.1892i | 0.770807 | − | 0.674577i | ||||
\(508\) | −2.43699 | − | 9.09497i | −0.108124 | − | 0.403524i | ||||
\(509\) | 3.67812 | 0.163030 | 0.0815148 | − | 0.996672i | \(-0.474024\pi\) | ||||
0.0815148 | + | 0.996672i | \(0.474024\pi\) | |||||||
\(510\) | 16.9612 | + | 6.77470i | 0.751055 | + | 0.299989i | ||||
\(511\) | 26.4013 | + | 1.00313i | 1.16792 | + | 0.0443757i | ||||
\(512\) | 1.79213 | − | 1.79213i | 0.0792019 | − | 0.0792019i | ||||
\(513\) | 19.1514 | − | 1.19585i | 0.845555 | − | 0.0527979i | ||||
\(514\) | −20.2645 | + | 11.6997i | −0.893829 | + | 0.516052i | ||||
\(515\) | 29.7626 | + | 9.64974i | 1.31150 | + | 0.425218i | ||||
\(516\) | −2.94571 | − | 1.97265i | −0.129678 | − | 0.0868412i | ||||
\(517\) | 6.62855 | − | 24.7381i | 0.291523 | − | 1.08798i | ||||
\(518\) | −29.6090 | + | 6.74009i | −1.30095 | + | 0.296143i | ||||
\(519\) | 30.2223 | + | 20.2389i | 1.32661 | + | 0.888391i | ||||
\(520\) | 12.2620 | − | 18.9079i | 0.537724 | − | 0.829164i | ||||
\(521\) | 9.81608 | − | 5.66732i | 0.430050 | − | 0.248290i | −0.269318 | − | 0.963051i | \(-0.586798\pi\) |
0.699368 | + | 0.714762i | \(0.253465\pi\) | |||||||
\(522\) | 3.01194 | − | 0.390221i | 0.131829 | − | 0.0170795i | ||||
\(523\) | −5.30960 | − | 19.8157i | −0.232173 | − | 0.866480i | −0.979403 | − | 0.201915i | \(-0.935283\pi\) |
0.747230 | − | 0.664565i | \(-0.231383\pi\) | |||||||
\(524\) | 4.87501 | − | 8.44377i | 0.212966 | − | 0.368868i | ||||
\(525\) | −17.0509 | − | 15.3058i | −0.744163 | − | 0.667998i | ||||
\(526\) | −7.19937 | − | 12.4697i | −0.313907 | − | 0.543704i | ||||
\(527\) | −8.49871 | + | 8.49871i | −0.370210 | + | 0.370210i | ||||
\(528\) | 9.66047 | + | 48.8292i | 0.420418 | + | 2.12502i | ||||
\(529\) | − | 7.76823i | − | 0.337749i | ||||||
\(530\) | −39.0264 | − | 2.02065i | −1.69520 | − | 0.0877713i | ||||
\(531\) | 16.5918 | − | 6.83256i | 0.720024 | − | 0.296508i | ||||
\(532\) | 5.53041 | + | 5.96727i | 0.239774 | + | 0.258714i | ||||
\(533\) | −0.230012 | + | 0.0616316i | −0.00996293 | + | 0.00266956i | ||||
\(534\) | −1.22338 | − | 2.48723i | −0.0529409 | − | 0.107633i | ||||
\(535\) | −3.89642 | + | 3.51280i | −0.168457 | + | 0.151871i | ||||
\(536\) | 6.48297 | + | 3.74294i | 0.280022 | + | 0.161671i | ||||
\(537\) | −12.3127 | + | 2.43596i | −0.531330 | + | 0.105120i | ||||
\(538\) | −5.64615 | − | 21.0717i | −0.243423 | − | 0.908467i | ||||
\(539\) | −17.5127 | − | 36.4731i | −0.754324 | − | 1.57101i | ||||
\(540\) | −4.92642 | − | 8.32711i | −0.212000 | − | 0.358342i | ||||
\(541\) | 6.49741 | − | 11.2538i | 0.279346 | − | 0.483841i | −0.691877 | − | 0.722016i | \(-0.743216\pi\) |
0.971222 | + | 0.238175i | \(0.0765492\pi\) | |||||||
\(542\) | 20.2549 | − | 20.2549i | 0.870021 | − | 0.870021i | ||||
\(543\) | −4.14774 | + | 12.1777i | −0.177997 | + | 0.522593i | ||||
\(544\) | − | 12.4376i | − | 0.533258i | ||||||
\(545\) | −0.146860 | − | 0.0952408i | −0.00629081 | − | 0.00407967i | ||||
\(546\) | −23.2478 | + | 32.0156i | −0.994914 | + | 1.37014i | ||||
\(547\) | 7.26209 | − | 1.94587i | 0.310505 | − | 0.0831995i | −0.100202 | − | 0.994967i | \(-0.531949\pi\) |
0.410706 | + | 0.911768i | \(0.365282\pi\) | |||||||
\(548\) | 10.7482 | − | 2.87997i | 0.459140 | − | 0.123026i | ||||
\(549\) | 0.103535 | − | 0.774102i | 0.00441875 | − | 0.0330379i | ||||
\(550\) | −30.6578 | − | 37.7619i | −1.30725 | − | 1.61017i | ||||
\(551\) | −1.92368 | + | 1.11064i | −0.0819515 | + | 0.0473147i | ||||
\(552\) | 12.5713 | + | 4.28183i | 0.535071 | + | 0.182247i | ||||
\(553\) | −26.4219 | + | 24.4876i | −1.12357 | + | 1.04132i | ||||
\(554\) | 21.8027 | + | 37.7634i | 0.926308 | + | 1.60441i | ||||
\(555\) | −24.2707 | + | 10.4160i | −1.03023 | + | 0.442135i | ||||
\(556\) | −5.20313 | −0.220662 | ||||||||
\(557\) | −19.3115 | − | 5.17450i | −0.818254 | − | 0.219251i | −0.174671 | − | 0.984627i | \(-0.555886\pi\) |
−0.643583 | + | 0.765376i | \(0.722553\pi\) | |||||||
\(558\) | 21.4795 | − | 2.78283i | 0.909298 | − | 0.117807i | ||||
\(559\) | 12.6095i | 0.533323i | ||||||||
\(560\) | −10.1279 | + | 27.6163i | −0.427982 | + | 1.16700i | ||||
\(561\) | 23.3069 | + | 15.6079i | 0.984018 | + | 0.658966i | ||||
\(562\) | 35.3019 | + | 35.3019i | 1.48912 | + | 1.48912i | ||||
\(563\) | 0.975092 | − | 0.261275i | 0.0410952 | − | 0.0110114i | −0.238213 | − | 0.971213i | \(-0.576562\pi\) |
0.279308 | + | 0.960202i | \(0.409895\pi\) | |||||||
\(564\) | 5.73463 | − | 2.82067i | 0.241472 | − | 0.118772i | ||||
\(565\) | −7.11330 | + | 1.51666i | −0.299259 | + | 0.0638064i | ||||
\(566\) | 11.1758i | 0.469754i | ||||||||
\(567\) | −11.0275 | − | 21.1044i | −0.463112 | − | 0.886300i | ||||
\(568\) | −6.92888 | + | 6.92888i | −0.290729 | + | 0.290729i | ||||
\(569\) | 14.7365 | + | 25.5244i | 0.617786 | + | 1.07004i | 0.989889 | + | 0.141846i | \(0.0453037\pi\) |
−0.372102 | + | 0.928192i | \(0.621363\pi\) | |||||||
\(570\) | 19.2820 | + | 14.4105i | 0.807632 | + | 0.603591i | ||||
\(571\) | 4.40154 | − | 7.62369i | 0.184199 | − | 0.319041i | −0.759108 | − | 0.650965i | \(-0.774364\pi\) |
0.943306 | + | 0.331924i | \(0.107698\pi\) | |||||||
\(572\) | −17.4588 | + | 17.4588i | −0.729988 | + | 0.729988i | ||||
\(573\) | −9.07867 | − | 45.8885i | −0.379267 | − | 1.91702i | ||||
\(574\) | 0.182806 | − | 0.0964806i | 0.00763015 | − | 0.00402702i | ||||
\(575\) | −19.2698 | + | 3.07692i | −0.803608 | + | 0.128317i | ||||
\(576\) | 4.52836 | − | 5.87638i | 0.188682 | − | 0.244849i | ||||
\(577\) | −4.96336 | + | 18.5235i | −0.206627 | + | 0.771144i | 0.782320 | + | 0.622877i | \(0.214036\pi\) |
−0.988947 | + | 0.148267i | \(0.952630\pi\) | |||||||
\(578\) | 10.8887 | + | 10.8887i | 0.452911 | + | 0.452911i | ||||
\(579\) | 12.2030 | + | 0.812446i | 0.507138 | + | 0.0337641i | ||||
\(580\) | 0.939696 | + | 0.609405i | 0.0390188 | + | 0.0253042i | ||||
\(581\) | 12.6149 | − | 6.65787i | 0.523356 | − | 0.276215i | ||||
\(582\) | −8.34240 | + | 24.4930i | −0.345804 | + | 1.01527i | ||||
\(583\) | −57.9724 | − | 15.5337i | −2.40097 | − | 0.643338i | ||||
\(584\) | −9.80929 | − | 16.9902i | −0.405911 | − | 0.703059i | ||||
\(585\) | −14.8593 | + | 31.0390i | −0.614358 | + | 1.28330i | ||||
\(586\) | 3.91288 | − | 6.77730i | 0.161640 | − | 0.279968i | ||||
\(587\) | −8.22432 | − | 30.6936i | −0.339454 | − | 1.26686i | −0.898959 | − | 0.438032i | \(-0.855676\pi\) |
0.559505 | − | 0.828827i | \(-0.310991\pi\) | |||||||
\(588\) | 3.97094 | − | 9.28240i | 0.163759 | − | 0.382800i | ||||
\(589\) | −13.7186 | + | 7.92044i | −0.565265 | + | 0.326356i | ||||
\(590\) | 21.4126 | + | 6.94247i | 0.881543 | + | 0.285817i | ||||
\(591\) | −18.7168 | − | 38.0526i | −0.769905 | − | 1.56527i | ||||
\(592\) | 23.9752 | + | 23.9752i | 0.985374 | + | 0.985374i | ||||
\(593\) | 18.9385 | − | 5.07456i | 0.777712 | − | 0.208387i | 0.151936 | − | 0.988390i | \(-0.451449\pi\) |
0.625776 | + | 0.780003i | \(0.284782\pi\) | |||||||
\(594\) | −16.1003 | − | 47.9157i | −0.660603 | − | 1.96601i | ||||
\(595\) | 6.96874 | + | 15.0403i | 0.285691 | + | 0.616590i | ||||
\(596\) | 6.47937 | + | 3.74086i | 0.265405 | + | 0.153232i | ||||
\(597\) | −1.75383 | − | 8.86480i | −0.0717796 | − | 0.362812i | ||||
\(598\) | 8.72132 | + | 32.5484i | 0.356641 | + | 1.33100i | ||||
\(599\) | −11.9813 | + | 20.7522i | −0.489543 | + | 0.847914i | −0.999928 | − | 0.0120326i | \(-0.996170\pi\) |
0.510384 | + | 0.859946i | \(0.329503\pi\) | |||||||
\(600\) | −2.87748 | + | 16.7690i | −0.117473 | + | 0.684593i | ||||
\(601\) | −17.9459 | + | 31.0833i | −0.732030 | + | 1.26791i | 0.223985 | + | 0.974593i | \(0.428093\pi\) |
−0.956014 | + | 0.293320i | \(0.905240\pi\) | |||||||
\(602\) | −2.42945 | − | 10.6725i | −0.0990171 | − | 0.434979i | ||||
\(603\) | −10.5519 | − | 4.39621i | −0.429705 | − | 0.179027i | ||||
\(604\) | 0.580000 | + | 0.334863i | 0.0235999 | + | 0.0136254i | ||||
\(605\) | −22.7754 | − | 44.6298i | −0.925953 | − | 1.81446i | ||||
\(606\) | 14.6759 | + | 9.82802i | 0.596169 | + | 0.399236i | ||||
\(607\) | −3.78919 | − | 3.78919i | −0.153798 | − | 0.153798i | 0.626014 | − | 0.779812i | \(-0.284685\pi\) |
−0.779812 | + | 0.626014i | \(0.784685\pi\) | |||||||
\(608\) | 4.24272 | − | 15.8340i | 0.172065 | − | 0.642155i | ||||
\(609\) | 2.23043 | + | 1.61961i | 0.0903816 | + | 0.0656297i | ||||
\(610\) | 0.727680 | − | 0.656036i | 0.0294629 | − | 0.0265621i | ||||
\(611\) | −19.6852 | − | 11.3652i | −0.796376 | − | 0.459788i | ||||
\(612\) | 0.899330 | + | 6.94152i | 0.0363532 | + | 0.280594i | ||||
\(613\) | −37.4975 | − | 10.0474i | −1.51451 | − | 0.405812i | −0.596580 | − | 0.802554i | \(-0.703474\pi\) |
−0.917930 | + | 0.396742i | \(0.870141\pi\) | |||||||
\(614\) | 4.07231 | + | 7.05345i | 0.164345 | + | 0.284654i | ||||
\(615\) | 0.141229 | − | 0.111245i | 0.00569492 | − | 0.00448582i | ||||
\(616\) | −15.9988 | + | 25.4294i | −0.644611 | + | 1.02458i | ||||
\(617\) | 29.4318 | + | 7.88624i | 1.18488 | + | 0.317488i | 0.796861 | − | 0.604163i | \(-0.206492\pi\) |
0.388020 | + | 0.921651i | \(0.373159\pi\) | |||||||
\(618\) | 7.91652 | + | 40.0143i | 0.318449 | + | 1.60961i | ||||
\(619\) | − | 13.7469i | − | 0.552533i | −0.961081 | − | 0.276266i | \(-0.910903\pi\) | ||
0.961081 | − | 0.276266i | \(-0.0890972\pi\) | |||||||
\(620\) | 6.70138 | + | 4.34593i | 0.269134 | + | 0.174537i | ||||
\(621\) | −19.8775 | − | 4.01775i | −0.797657 | − | 0.161227i | ||||
\(622\) | −29.8546 | − | 29.8546i | −1.19706 | − | 1.19706i | ||||
\(623\) | 0.742890 | − | 2.40346i | 0.0297633 | − | 0.0962928i | ||||
\(624\) | 44.0801 | + | 2.93475i | 1.76461 | + | 0.117484i | ||||
\(625\) | −7.78528 | − | 23.7569i | −0.311411 | − | 0.950275i | ||||
\(626\) | 39.0759 | + | 22.5605i | 1.56179 | + | 0.901699i | ||||
\(627\) | 24.3473 | + | 27.8205i | 0.972338 | + | 1.11104i | ||||
\(628\) | −16.4971 | − | 4.42039i | −0.658307 | − | 0.176393i | ||||
\(629\) | 19.1072 | 0.761854 | ||||||||
\(630\) | 6.59655 | − | 29.1340i | 0.262813 | − | 1.16073i | ||||
\(631\) | 48.8664 | 1.94534 | 0.972670 | − | 0.232192i | \(-0.0745897\pi\) | ||||
0.972670 | + | 0.232192i | \(0.0745897\pi\) | |||||||
\(632\) | 25.8387 | + | 6.92347i | 1.02781 | + | 0.275401i | ||||
\(633\) | −27.8170 | + | 5.50337i | −1.10563 | + | 0.218739i | ||||
\(634\) | 37.1184 | + | 21.4303i | 1.47416 | + | 0.851107i | ||||
\(635\) | 7.79807 | − | 24.0515i | 0.309457 | − | 0.954455i | ||||
\(636\) | −6.61009 | − | 13.4388i | −0.262107 | − | 0.532883i | ||||
\(637\) | −35.2910 | + | 6.63523i | −1.39828 | + | 0.262897i | ||||
\(638\) | 4.13760 | + | 4.13760i | 0.163809 | + | 0.163809i | ||||
\(639\) | 9.13335 | − | 11.8522i | 0.361310 | − | 0.468866i | ||||
\(640\) | 28.5175 | − | 6.08034i | 1.12725 | − | 0.240347i | ||||
\(641\) | 8.31450i | 0.328403i | 0.986427 | + | 0.164202i | \(0.0525047\pi\) | ||||
−0.986427 | + | 0.164202i | \(0.947495\pi\) | |||||||
\(642\) | −6.47413 | − | 2.20511i | −0.255514 | − | 0.0870287i | ||||
\(643\) | −13.2363 | − | 3.54665i | −0.521988 | − | 0.139866i | −0.0118018 | − | 0.999930i | \(-0.503757\pi\) |
−0.510186 | + | 0.860064i | \(0.670423\pi\) | |||||||
\(644\) | −4.01339 | − | 7.60433i | −0.158150 | − | 0.299652i | ||||
\(645\) | −3.75442 | − | 8.74831i | −0.147830 | − | 0.344464i | ||||
\(646\) | −8.70739 | − | 15.0816i | −0.342588 | − | 0.593379i | ||||
\(647\) | 26.8036 | + | 7.18200i | 1.05376 | + | 0.282354i | 0.743804 | − | 0.668398i | \(-0.233020\pi\) |
0.309954 | + | 0.950751i | \(0.399686\pi\) | |||||||
\(648\) | −8.90379 | + | 15.2762i | −0.349774 | + | 0.600105i | ||||
\(649\) | 29.9394 | + | 17.2855i | 1.17522 | + | 0.678515i | ||||
\(650\) | −39.4155 | + | 17.6084i | −1.54600 | + | 0.690659i | ||||
\(651\) | 15.9062 | + | 11.5501i | 0.623412 | + | 0.452685i | ||||
\(652\) | −3.10860 | + | 11.6015i | −0.121742 | + | 0.454348i | ||||
\(653\) | 20.8214 | + | 20.8214i | 0.814806 | + | 0.814806i | 0.985350 | − | 0.170544i | \(-0.0545525\pi\) |
−0.170544 | + | 0.985350i | \(0.554552\pi\) | |||||||
\(654\) | 0.0151594 | − | 0.227694i | 0.000592778 | − | 0.00890355i | ||||
\(655\) | 23.3204 | − | 11.9009i | 0.911205 | − | 0.465005i | ||||
\(656\) | −0.199876 | − | 0.115398i | −0.00780385 | − | 0.00450555i | ||||
\(657\) | 18.1882 | + | 23.8046i | 0.709588 | + | 0.928707i | ||||
\(658\) | 18.8510 | + | 5.82669i | 0.734890 | + | 0.227148i | ||||
\(659\) | 10.3246 | − | 17.8827i | 0.402190 | − | 0.696613i | −0.591800 | − | 0.806085i | \(-0.701583\pi\) |
0.993990 | + | 0.109472i | \(0.0349160\pi\) | |||||||
\(660\) | 6.91441 | − | 17.3110i | 0.269143 | − | 0.673830i | ||||
\(661\) | 1.15797 | − | 2.00567i | 0.0450399 | − | 0.0780114i | −0.842627 | − | 0.538498i | \(-0.818992\pi\) |
0.887667 | + | 0.460487i | \(0.152325\pi\) | |||||||
\(662\) | −6.89522 | − | 25.7333i | −0.267990 | − | 1.00015i | ||||
\(663\) | 18.7344 | − | 16.3955i | 0.727584 | − | 0.636750i | ||||
\(664\) | −9.17285 | − | 5.29595i | −0.355976 | − | 0.205523i | ||||
\(665\) | 3.74122 | + | 21.5246i | 0.145078 | + | 0.834688i | ||||
\(666\) | −27.2738 | − | 21.0173i | −1.05684 | − | 0.814405i | ||||
\(667\) | 2.26755 | − | 0.607589i | 0.0878000 | − | 0.0235259i | ||||
\(668\) | 5.35464 | + | 5.35464i | 0.207177 | + | 0.207177i | ||||
\(669\) | −32.0422 | − | 2.13330i | −1.23882 | − | 0.0824780i | ||||
\(670\) | −6.51829 | − | 12.7730i | −0.251824 | − | 0.493463i | ||||
\(671\) | 1.30311 | − | 0.752351i | 0.0503060 | − | 0.0290442i | ||||
\(672\) | −20.0907 | + | 3.18748i | −0.775016 | + | 0.122960i | ||||
\(673\) | 4.69845 | + | 17.5349i | 0.181112 | + | 0.675919i | 0.995429 | + | 0.0954995i | \(0.0304448\pi\) |
−0.814317 | + | 0.580420i | \(0.802889\pi\) | |||||||
\(674\) | −19.1614 | + | 33.1886i | −0.738070 | + | 1.27838i | ||||
\(675\) | 1.06750 | − | 25.9588i | 0.0410881 | − | 0.999156i | ||||
\(676\) | 5.54418 | + | 9.60280i | 0.213238 | + | 0.369338i | ||||
\(677\) | −19.2800 | − | 5.16605i | −0.740989 | − | 0.198547i | −0.131471 | − | 0.991320i | \(-0.541970\pi\) |
−0.609518 | + | 0.792773i | \(0.708637\pi\) | |||||||
\(678\) | −6.24460 | − | 7.13541i | −0.239823 | − | 0.274034i | ||||
\(679\) | −20.7685 | + | 10.9611i | −0.797022 | + | 0.420650i | ||||
\(680\) | 6.69737 | − | 10.3273i | 0.256832 | − | 0.396033i | ||||
\(681\) | 15.0773 | + | 30.6533i | 0.577765 | + | 1.17464i | ||||
\(682\) | 29.5070 | + | 29.5070i | 1.12988 | + | 1.12988i | ||||
\(683\) | 1.07869 | − | 4.02574i | 0.0412751 | − | 0.154041i | −0.942213 | − | 0.335015i | \(-0.891259\pi\) |
0.983488 | + | 0.180975i | \(0.0579252\pi\) | |||||||
\(684\) | −1.22298 | + | 9.14388i | −0.0467617 | + | 0.349625i | ||||
\(685\) | 28.4234 | + | 9.21555i | 1.08600 | + | 0.352108i | ||||
\(686\) | 28.5915 | − | 12.4155i | 1.09163 | − | 0.474025i | ||||
\(687\) | 40.5964 | + | 13.8273i | 1.54885 | + | 0.527543i | ||||
\(688\) | −8.64180 | + | 8.64180i | −0.329466 | + | 0.329466i | ||||
\(689\) | −26.6338 | + | 46.1311i | −1.01467 | + | 1.75745i | ||||
\(690\) | −15.7419 | − | 19.9850i | −0.599285 | − | 0.760816i | ||||
\(691\) | −3.42870 | − | 5.93869i | −0.130434 | − | 0.225918i | 0.793410 | − | 0.608688i | \(-0.208304\pi\) |
−0.923844 | + | 0.382769i | \(0.874970\pi\) | |||||||
\(692\) | −12.3652 | + | 12.3652i | −0.470053 | + | 0.470053i | ||||
\(693\) | 19.2387 | − | 41.6481i | 0.730819 | − | 1.58208i | ||||
\(694\) | 20.1494i | 0.764859i | ||||||||
\(695\) | −11.7226 | − | 7.60224i | −0.444663 | − | 0.288369i | ||||
\(696\) | 0.135971 | − | 2.04229i | 0.00515396 | − | 0.0774128i | ||||
\(697\) | −0.125630 | + | 0.0336625i | −0.00475858 | + | 0.00127506i | ||||
\(698\) | −12.6622 | − | 12.6622i | −0.479272 | − | 0.479272i | ||||
\(699\) | 1.16746 | − | 17.5353i | 0.0441573 | − | 0.663245i | ||||
\(700\) | 8.80957 | − | 6.61350i | 0.332970 | − | 0.249967i | ||||
\(701\) | 13.3434i | 0.503972i | 0.967731 | + | 0.251986i | \(0.0810837\pi\) | ||||
−0.967731 | + | 0.251986i | \(0.918916\pi\) | |||||||
\(702\) | −44.7762 | + | 2.79591i | −1.68997 | + | 0.105525i | ||||
\(703\) | 24.3250 | + | 6.51785i | 0.917433 | + | 0.245826i | ||||
\(704\) | 14.2933 | 0.538700 | ||||||||
\(705\) | 17.0413 | + | 2.02388i | 0.641813 | + | 0.0762239i | ||||
\(706\) | 0.478812 | + | 0.829327i | 0.0180203 | + | 0.0312121i | ||||
\(707\) | 3.55809 | + | 15.6306i | 0.133816 | + | 0.587849i | ||||
\(708\) | 1.67427 | + | 8.46265i | 0.0629229 | + | 0.318046i | ||||
\(709\) | −12.2000 | + | 7.04367i | −0.458180 | + | 0.264530i | −0.711279 | − | 0.702910i | \(-0.751884\pi\) |
0.253099 | + | 0.967440i | \(0.418550\pi\) | |||||||
\(710\) | 18.3582 | − | 3.91425i | 0.688973 | − | 0.146899i | ||||
\(711\) | −40.4874 | − | 5.41511i | −1.51839 | − | 0.203082i | ||||
\(712\) | −1.80437 | + | 0.483479i | −0.0676215 | + | 0.0181191i | ||||
\(713\) | 16.1709 | − | 4.33298i | 0.605605 | − | 0.162271i | ||||
\(714\) | −12.6977 | + | 17.4866i | −0.475199 | + | 0.654418i | ||||
\(715\) | −64.8432 | + | 13.8255i | −2.42500 | + | 0.517045i | ||||
\(716\) | − | 6.03426i | − | 0.225511i | ||||||
\(717\) | −8.96528 | + | 1.77371i | −0.334815 | + | 0.0662404i | ||||
\(718\) | 34.9423 | − | 34.9423i | 1.30404 | − | 1.30404i | ||||
\(719\) | 22.2556 | − | 38.5479i | 0.829995 | − | 1.43759i | −0.0680454 | − | 0.997682i | \(-0.521676\pi\) |
0.898041 | − | 0.439912i | \(-0.144990\pi\) | |||||||
\(720\) | −31.4561 | + | 11.0886i | −1.17230 | + | 0.413248i | ||||
\(721\) | −19.7141 | + | 31.3346i | −0.734190 | + | 1.16696i | ||||
\(722\) | 2.33605 | + | 8.71827i | 0.0869389 | + | 0.324460i | ||||
\(723\) | 2.03024 | − | 5.96071i | 0.0755053 | − | 0.221681i | ||||
\(724\) | −5.35628 | − | 3.09245i | −0.199064 | − | 0.114930i | ||||
\(725\) | 1.22673 | + | 2.74596i | 0.0455595 | + | 0.101982i | ||||
\(726\) | 36.3470 | − | 54.2760i | 1.34896 | − | 2.01437i | ||||
\(727\) | −3.75157 | + | 1.00523i | −0.139138 | + | 0.0372819i | −0.327716 | − | 0.944776i | \(-0.606279\pi\) |
0.188578 | + | 0.982058i | \(0.439612\pi\) | |||||||
\(728\) | 18.1253 | + | 19.5571i | 0.671770 | + | 0.724835i | ||||
\(729\) | 10.4864 | − | 24.8804i | 0.388384 | − | 0.921498i | ||||
\(730\) | −1.94324 | + | 37.5313i | −0.0719224 | + | 1.38910i | ||||
\(731\) | 6.88715i | 0.254731i | ||||||||
\(732\) | 0.355426 | + | 0.121059i | 0.0131369 | + | 0.00447447i | ||||
\(733\) | 2.40923 | − | 2.40923i | 0.0889868 | − | 0.0889868i | −0.661212 | − | 0.750199i | \(-0.729958\pi\) |
0.750199 | + | 0.661212i | \(0.229958\pi\) | |||||||
\(734\) | 27.6853 | + | 47.9523i | 1.02188 | + | 1.76995i | ||||
\(735\) | 22.5089 | − | 15.1112i | 0.830253 | − | 0.557386i | ||||
\(736\) | −8.66222 | + | 15.0034i | −0.319294 | + | 0.553033i | ||||
\(737\) | −5.70013 | − | 21.2732i | −0.209967 | − | 0.783607i | ||||
\(738\) | 0.216354 | + | 0.0901390i | 0.00796408 | + | 0.00331806i | ||||
\(739\) | −0.421830 | + | 0.243543i | −0.0155173 | + | 0.00895889i | −0.507739 | − | 0.861511i | \(-0.669518\pi\) |
0.492221 | + | 0.870470i | \(0.336185\pi\) | |||||||
\(740\) | −2.64782 | − | 12.4186i | −0.0973358 | − | 0.456515i | ||||
\(741\) | 29.4432 | − | 14.4821i | 1.08162 | − | 0.532014i | ||||
\(742\) | 13.6545 | − | 44.1764i | 0.501274 | − | 1.62177i | ||||
\(743\) | 2.85872 | − | 10.6689i | 0.104876 | − | 0.391404i | −0.893455 | − | 0.449153i | \(-0.851726\pi\) |
0.998331 | + | 0.0577492i | \(0.0183924\pi\) | |||||||
\(744\) | 0.969668 | − | 14.5645i | 0.0355497 | − | 0.533959i | ||||
\(745\) | 9.13218 | + | 17.8951i | 0.334577 | + | 0.655624i | ||||
\(746\) | −28.3480 | + | 16.3667i | −1.03789 | + | 0.599228i | ||||
\(747\) | 14.9300 | + | 6.22026i | 0.546260 | + | 0.227587i | ||||
\(748\) | −9.53579 | + | 9.53579i | −0.348663 | + | 0.348663i | ||||
\(749\) | −2.89731 | − | 5.48964i | −0.105865 | − | 0.200587i | ||||
\(750\) | 22.1032 | − | 23.9524i | 0.807095 | − | 0.874617i | ||||
\(751\) | 22.0136 | 0.803287 | 0.401643 | − | 0.915796i | \(-0.368439\pi\) | ||||
0.401643 | + | 0.915796i | \(0.368439\pi\) | |||||||
\(752\) | −5.70200 | − | 21.2802i | −0.207931 | − | 0.776008i | ||||
\(753\) | 16.4754 | + | 5.61157i | 0.600397 | + | 0.204497i | ||||
\(754\) | 4.49759 | − | 2.59668i | 0.163792 | − | 0.0945656i | ||||
\(755\) | 0.817466 | + | 1.60187i | 0.0297506 | + | 0.0582982i | ||||
\(756\) | 10.9823 | − | 3.23166i | 0.399423 | − | 0.117534i | ||||
\(757\) | −7.72069 | − | 7.72069i | −0.280613 | − | 0.280613i | 0.552740 | − | 0.833354i | \(-0.313582\pi\) |
−0.833354 | + | 0.552740i | \(0.813582\pi\) | |||||||
\(758\) | 4.92801 | − | 18.3916i | 0.178993 | − | 0.668012i | ||||
\(759\) | −17.2448 | − | 35.0599i | −0.625945 | − | 1.27259i | ||||
\(760\) | 12.0491 | − | 10.8628i | 0.437067 | − | 0.394036i | ||||
\(761\) | 30.7854i | 1.11597i | 0.829851 | + | 0.557985i | \(0.188425\pi\) | ||||
−0.829851 | + | 0.557985i | \(0.811575\pi\) | |||||||
\(762\) | 32.3360 | − | 6.39743i | 1.17141 | − | 0.231754i | ||||
\(763\) | 0.151903 | − | 0.140783i | 0.00549927 | − | 0.00509667i | ||||
\(764\) | 22.4893 | 0.813633 | ||||||||
\(765\) | −8.11601 | + | 16.9532i | −0.293435 | + | 0.612943i | ||||
\(766\) | −2.90162 | − | 5.02575i | −0.104840 | − | 0.181588i | ||||
\(767\) | 21.6961 | − | 21.6961i | 0.783402 | − | 0.783402i | ||||
\(768\) | 19.3932 | + | 22.1597i | 0.699792 | + | 0.799619i | ||||
\(769\) | −23.4329 | + | 13.5290i | −0.845011 | + | 0.487867i | −0.858964 | − | 0.512035i | \(-0.828892\pi\) |
0.0139534 | + | 0.999903i | \(0.495558\pi\) | |||||||
\(770\) | 52.2189 | − | 24.1951i | 1.88184 | − | 0.871929i | ||||
\(771\) | −10.6283 | − | 21.6081i | −0.382768 | − | 0.778195i | ||||
\(772\) | −1.52180 | + | 5.67943i | −0.0547707 | + | 0.204407i | ||||
\(773\) | 3.10421 | − | 11.5851i | 0.111651 | − | 0.416686i | −0.887364 | − | 0.461070i | \(-0.847466\pi\) |
0.999015 | + | 0.0443838i | \(0.0141325\pi\) | |||||||
\(774\) | 7.57565 | − | 9.83079i | 0.272301 | − | 0.353360i | ||||
\(775\) | 8.74832 | + | 19.5827i | 0.314249 | + | 0.703430i | ||||
\(776\) | 15.1017 | + | 8.71894i | 0.542118 | + | 0.312992i | ||||
\(777\) | −4.89674 | − | 30.8643i | −0.175670 | − | 1.10725i | ||||
\(778\) | 40.9314 | + | 10.9675i | 1.46746 | + | 0.393206i | ||||
\(779\) | −0.171420 | −0.00614176 | ||||||||
\(780\) | −13.2523 | − | 9.90421i | −0.474508 | − | 0.354628i | ||||
\(781\) | 28.8285 | 1.03157 | ||||||||
\(782\) | 4.76349 | + | 17.7776i | 0.170342 | + | 0.635725i | ||||
\(783\) | 0.194783 | + | 3.11943i | 0.00696096 | + | 0.111479i | ||||
\(784\) | −28.7338 | − | 19.6390i | −1.02621 | − | 0.701394i | ||||
\(785\) | −30.7092 | − | 34.0629i | −1.09606 | − | 1.21576i | ||||
\(786\) | 28.3609 | + | 18.9924i | 1.01160 | + | 0.677436i | ||||
\(787\) | 10.8833 | − | 2.91618i | 0.387948 | − | 0.103950i | −0.0595724 | − | 0.998224i | \(-0.518974\pi\) |
0.447521 | + | 0.894274i | \(0.352307\pi\) | |||||||
\(788\) | 19.6930 | − | 5.27672i | 0.701534 | − | 0.187975i | ||||
\(789\) | 13.2964 | − | 6.54006i | 0.473365 | − | 0.232832i | ||||
\(790\) | −34.3122 | − | 38.0594i | −1.22077 | − | 1.35409i | ||||
\(791\) | 0.326743 | − | 8.59956i | 0.0116177 | − | 0.305765i | ||||
\(792\) | −33.7839 | + | 4.37697i | −1.20046 | + | 0.155529i | ||||
\(793\) | −0.345647 | − | 1.28997i | −0.0122743 | − | 0.0458082i | ||||
\(794\) | −25.0919 | −0.890478 | ||||||||
\(795\) | 4.74286 | − | 39.9354i | 0.168212 | − | 1.41636i | ||||
\(796\) | 4.34451 | 0.153987 | ||||||||
\(797\) | −36.2663 | − | 9.71753i | −1.28462 | − | 0.344212i | −0.449004 | − | 0.893530i | \(-0.648221\pi\) |
−0.835614 | + | 0.549317i | \(0.814888\pi\) | |||||||
\(798\) | −22.1302 | + | 17.9303i | −0.783400 | + | 0.634726i | ||||
\(799\) | −10.7518 | − | 6.20757i | −0.380372 | − | 0.219608i | ||||
\(800\) | −20.7308 | − | 7.92786i | −0.732943 | − | 0.280292i | ||||
\(801\) | 2.63760 | − | 1.08617i | 0.0931949 | − | 0.0383779i | ||||
\(802\) | −4.43045 | + | 16.5347i | −0.156445 | + | 0.583860i | ||||
\(803\) | −14.9386 | + | 55.7515i | −0.527170 | + | 1.96743i | ||||
\(804\) | 3.05793 | − | 4.56633i | 0.107845 | − | 0.161042i | ||||
\(805\) | 2.06849 | − | 22.9964i | 0.0729049 | − | 0.810516i | ||||
\(806\) | 32.0743 | − | 18.5181i | 1.12977 | − | 0.652272i | ||||
\(807\) | 22.0231 | − | 4.35710i | 0.775250 | − | 0.153377i | ||||
\(808\) | 8.41707 | − | 8.41707i | 0.296111 | − | 0.296111i | ||||
\(809\) | 1.38873 | + | 2.40535i | 0.0488251 | + | 0.0845675i | 0.889405 | − | 0.457120i | \(-0.151119\pi\) |
−0.840580 | + | 0.541687i | \(0.817786\pi\) | |||||||
\(810\) | 30.2328 | − | 15.2717i | 1.06227 | − | 0.536594i | ||||
\(811\) | −25.3407 | −0.889834 | −0.444917 | − | 0.895572i | \(-0.646767\pi\) | ||||
−0.444917 | + | 0.895572i | \(0.646767\pi\) | |||||||
\(812\) | −0.971963 | + | 0.900807i | −0.0341092 | + | 0.0316121i | ||||
\(813\) | 19.4136 | + | 22.1830i | 0.680865 | + | 0.777993i | ||||
\(814\) | − | 66.3391i | − | 2.32518i | ||||||
\(815\) | −23.9544 | + | 21.5960i | −0.839087 | + | 0.756474i | ||||
\(816\) | 24.0761 | + | 1.60293i | 0.842831 | + | 0.0561137i | ||||
\(817\) | −2.34935 | + | 8.76788i | −0.0821932 | + | 0.306749i | ||||
\(818\) | −13.6281 | − | 13.6281i | −0.476496 | − | 0.476496i | ||||
\(819\) | −31.2853 | − | 26.0603i | −1.09320 | − | 0.910619i | ||||
\(820\) | 0.0392881 | + | 0.0769874i | 0.00137200 | + | 0.00268851i | ||||
\(821\) | −2.30068 | + | 1.32830i | −0.0802942 | + | 0.0463579i | −0.539610 | − | 0.841915i | \(-0.681428\pi\) |
0.459315 | + | 0.888273i | \(0.348095\pi\) | |||||||
\(822\) | 7.56031 | + | 38.2139i | 0.263696 | + | 1.33286i | ||||
\(823\) | 3.73451 | + | 13.9374i | 0.130177 | + | 0.485827i | 0.999971 | − | 0.00758776i | \(-0.00241528\pi\) |
−0.869794 | + | 0.493414i | \(0.835749\pi\) | |||||||
\(824\) | 27.4897 | 0.957648 | ||||||||
\(825\) | 40.8710 | − | 28.8988i | 1.42295 | − | 1.00613i | ||||
\(826\) | −14.1832 | + | 22.5436i | −0.493497 | + | 0.784391i | ||||
\(827\) | −21.3382 | + | 21.3382i | −0.742001 | + | 0.742001i | −0.972963 | − | 0.230962i | \(-0.925813\pi\) |
0.230962 | + | 0.972963i | \(0.425813\pi\) | |||||||
\(828\) | 3.74959 | − | 8.99985i | 0.130307 | − | 0.312767i | ||||
\(829\) | 23.1488 | − | 13.3650i | 0.803990 | − | 0.464184i | −0.0408744 | − | 0.999164i | \(-0.513014\pi\) |
0.844864 | + | 0.534980i | \(0.179681\pi\) | |||||||
\(830\) | 9.22282 | + | 18.0727i | 0.320129 | + | 0.627312i | ||||
\(831\) | −40.2671 | + | 19.8060i | −1.39685 | + | 0.687064i | ||||
\(832\) | 3.28334 | − | 12.2536i | 0.113829 | − | 0.424816i | ||||
\(833\) | −19.2756 | + | 3.62409i | −0.667859 | + | 0.125567i | ||||
\(834\) | 1.21004 | − | 18.1748i | 0.0419002 | − | 0.629343i | ||||
\(835\) | 4.24031 | + | 19.8875i | 0.146742 | + | 0.688236i | ||||
\(836\) | −15.3927 | + | 8.88695i | −0.532366 | + | 0.307362i | ||||
\(837\) | 1.38908 | + | 22.2460i | 0.0480136 | + | 0.768935i | ||||
\(838\) | 12.9132 | + | 48.1926i | 0.446078 | + | 1.66479i | ||||
\(839\) | 7.24965 | − | 12.5568i | 0.250286 | − | 0.433508i | −0.713319 | − | 0.700840i | \(-0.752809\pi\) |
0.963604 | + | 0.267332i | \(0.0861421\pi\) | |||||||
\(840\) | −18.3982 | − | 8.17175i | −0.634799 | − | 0.281952i | ||||
\(841\) | 14.3191 | + | 24.8014i | 0.493762 | + | 0.855221i | ||||
\(842\) | 13.0314 | − | 13.0314i | 0.449093 | − | 0.449093i | ||||
\(843\) | −38.6625 | + | 33.8357i | −1.33161 | + | 1.16536i | ||||
\(844\) | − | 13.6327i | − | 0.469257i | ||||||
\(845\) | −1.53960 | + | 29.7355i | −0.0529638 | + | 1.02293i | ||||
\(846\) | 8.51913 | + | 20.6874i | 0.292894 | + | 0.711248i | ||||
\(847\) | 57.8066 | − | 13.1589i | 1.98626 | − | 0.452144i | ||||
\(848\) | −49.8689 | + | 13.3623i | −1.71251 | + | 0.458864i | ||||
\(849\) | −11.4757 | − | 0.764022i | −0.393844 | − | 0.0262212i | ||||
\(850\) | −21.5283 | + | 9.61753i | −0.738415 | + | 0.329879i | ||||
\(851\) | −23.0489 | − | 13.3073i | −0.790106 | − | 0.456168i | ||||
\(852\) | 4.73759 | + | 5.41342i | 0.162307 | + | 0.185461i | ||||
\(853\) | 5.16052 | + | 19.2593i | 0.176693 | + | 0.659426i | 0.996257 | + | 0.0864391i | \(0.0275488\pi\) |
−0.819564 | + | 0.572987i | \(0.805785\pi\) | |||||||
\(854\) | 0.541090 | + | 1.02522i | 0.0185157 | + | 0.0350824i | ||||
\(855\) | −16.1154 | + | 18.8141i | −0.551134 | + | 0.643430i | ||||
\(856\) | −2.30464 | + | 3.99175i | −0.0787709 | + | 0.136435i | ||||
\(857\) | −15.8490 | + | 15.8490i | −0.541390 | + | 0.541390i | −0.923936 | − | 0.382546i | \(-0.875047\pi\) |
0.382546 | + | 0.923936i | \(0.375047\pi\) | |||||||
\(858\) | −56.9243 | − | 65.0447i | −1.94336 | − | 2.22059i | ||||
\(859\) | − | 36.6814i | − | 1.25155i | −0.780003 | − | 0.625776i | \(-0.784782\pi\) | ||
0.780003 | − | 0.625776i | \(-0.215218\pi\) | |||||||
\(860\) | 4.47624 | − | 0.954401i | 0.152639 | − | 0.0325448i | ||||
\(861\) | 0.0865719 | + | 0.194306i | 0.00295036 | + | 0.00662194i | ||||
\(862\) | 3.15779 | − | 0.846128i | 0.107555 | − | 0.0288192i | ||||
\(863\) | −40.0009 | + | 10.7182i | −1.36165 | + | 0.364852i | −0.864421 | − | 0.502768i | \(-0.832315\pi\) |
−0.497227 | + | 0.867621i | \(0.665648\pi\) | |||||||
\(864\) | −17.2946 | − | 15.2617i | −0.588375 | − | 0.519215i | ||||
\(865\) | −45.9252 | + | 9.79193i | −1.56150 | + | 0.332936i | ||||
\(866\) | 37.9463 | − | 21.9083i | 1.28947 | − | 0.744474i | ||||
\(867\) | −11.9253 | + | 10.4365i | −0.405003 | + | 0.354441i | ||||
\(868\) | −6.93149 | + | 6.42404i | −0.235270 | + | 0.218046i | ||||
\(869\) | −39.3498 | − | 68.1558i | −1.33485 | − | 2.31203i | ||||
\(870\) | −2.34722 | + | 3.14069i | −0.0795784 | + | 0.106479i | ||||
\(871\) | −19.5467 | −0.662315 | ||||||||
\(872\) | −0.148550 | − | 0.0398039i | −0.00503055 | − | 0.00134793i | ||||
\(873\) | −24.5799 | − | 10.2407i | −0.831903 | − | 0.346594i | ||||
\(874\) | 24.2572i | 0.820511i | ||||||||
\(875\) | 29.5108 | − | 2.02856i | 0.997646 | − | 0.0685777i | ||||
\(876\) | −12.9240 | + | 6.35686i | −0.436660 | + | 0.214778i | ||||
\(877\) | 22.4304 | + | 22.4304i | 0.757422 | + | 0.757422i | 0.975852 | − | 0.218431i | \(-0.0700937\pi\) |
−0.218431 | + | 0.975852i | \(0.570094\pi\) | |||||||
\(878\) | 22.5210 | − | 6.03449i | 0.760048 | − | 0.203654i | ||||
\(879\) | 6.69165 | + | 4.48119i | 0.225704 | + | 0.151147i | ||||
\(880\) | −53.9151 | − | 34.9646i | −1.81748 | − | 1.17866i | ||||
\(881\) | 26.6329i | 0.897286i | 0.893711 | + | 0.448643i | \(0.148092\pi\) | ||||
−0.893711 | + | 0.448643i | \(0.851908\pi\) | |||||||
\(882\) | 31.5005 | + | 16.0294i | 1.06068 | + | 0.539740i | ||||
\(883\) | 11.9623 | − | 11.9623i | 0.402563 | − | 0.402563i | −0.476572 | − | 0.879135i | \(-0.658121\pi\) |
0.879135 | + | 0.476572i | \(0.158121\pi\) | |||||||
\(884\) | 5.98449 | + | 10.3654i | 0.201280 | + | 0.348628i | ||||
\(885\) | −8.59260 | + | 21.5125i | −0.288837 | + | 0.723135i | ||||
\(886\) | −24.8458 | + | 43.0342i | −0.834712 | + | 1.44576i | ||||
\(887\) | −2.74179 | + | 2.74179i | −0.0920603 | + | 0.0920603i | −0.751637 | − | 0.659577i | \(-0.770736\pi\) |
0.659577 | + | 0.751637i | \(0.270736\pi\) | |||||||
\(888\) | −17.4623 | + | 15.2822i | −0.585996 | + | 0.512838i | ||||
\(889\) | 25.3219 | + | 15.9312i | 0.849268 | + | 0.534314i | ||||
\(890\) | 3.40395 | + | 1.10364i | 0.114101 | + | 0.0369942i | ||||
\(891\) | 50.3020 | − | 13.2566i | 1.68518 | − | 0.444112i | ||||
\(892\) | 3.99589 | − | 14.9129i | 0.133792 | − | 0.499320i | ||||
\(893\) | −11.5704 | − | 11.5704i | −0.387188 | − | 0.387188i | ||||
\(894\) | −14.5739 | + | 21.7629i | −0.487424 | + | 0.727859i | ||||
\(895\) | 8.81659 | − | 13.5951i | 0.294706 | − | 0.454434i | ||||
\(896\) | −1.30992 | + | 34.4759i | −0.0437615 | + | 1.15176i | ||||
\(897\) | −34.0179 | + | 6.73018i | −1.13583 | + | 0.224714i | ||||
\(898\) | 26.3420 | + | 7.05831i | 0.879043 | + | 0.235539i | ||||
\(899\) | −1.29010 | − | 2.23452i | −0.0430273 | − | 0.0745254i | ||||
\(900\) | 12.1432 | + | 2.92561i | 0.404775 | + | 0.0975204i | ||||
\(901\) | −14.5471 | + | 25.1963i | −0.484634 | + | 0.839411i | ||||
\(902\) | 0.116874 | + | 0.436181i | 0.00389149 | + | 0.0145232i | ||||
\(903\) | 11.1250 | − | 1.76502i | 0.370215 | − | 0.0587362i | ||||
\(904\) | −5.53414 | + | 3.19513i | −0.184063 | + | 0.106269i | ||||
\(905\) | −7.54927 | − | 14.7932i | −0.250946 | − | 0.491744i | ||||
\(906\) | −1.30458 | + | 1.94810i | −0.0433418 | + | 0.0647212i | ||||
\(907\) | 6.93324 | + | 6.93324i | 0.230215 | + | 0.230215i | 0.812782 | − | 0.582568i | \(-0.197952\pi\) |
−0.582568 | + | 0.812782i | \(0.697952\pi\) | |||||||
\(908\) | −15.8637 | + | 4.25067i | −0.526456 | + | 0.141063i | ||||
\(909\) | −11.0950 | + | 14.3978i | −0.367999 | + | 0.477546i | ||||
\(910\) | −8.74701 | − | 50.3248i | −0.289961 | − | 1.66825i | ||||
\(911\) | −37.0302 | − | 21.3794i | −1.22686 | − | 0.708330i | −0.260491 | − | 0.965476i | \(-0.583885\pi\) |
−0.966373 | + | 0.257146i | \(0.917218\pi\) | |||||||
\(912\) | 30.1039 | + | 10.2535i | 0.996840 | + | 0.339527i | ||||
\(913\) | 8.06519 | + | 30.0997i | 0.266919 | + | 0.996155i | ||||
\(914\) | −13.1220 | + | 22.7280i | −0.434037 | + | 0.751775i | ||||
\(915\) | 0.623891 | + | 0.792054i | 0.0206252 | + | 0.0261845i | ||||
\(916\) | −10.3092 | + | 17.8561i | −0.340627 | + | 0.589983i | ||||
\(917\) | 6.87592 | + | 30.2057i | 0.227063 | + | 0.997480i | ||||
\(918\) | −24.4563 | + | 1.52709i | −0.807178 | + | 0.0504016i | ||||
\(919\) | 10.2115 | + | 5.89559i | 0.336845 | + | 0.194478i | 0.658876 | − | 0.752252i | \(-0.271032\pi\) |
−0.322031 | + | 0.946729i | \(0.604365\pi\) | |||||||
\(920\) | −15.2715 | + | 7.79331i | −0.503485 | + | 0.256938i | ||||
\(921\) | −7.52110 | + | 3.69937i | −0.247829 | + | 0.121898i | ||||
\(922\) | −28.7285 | − | 28.7285i | −0.946122 | − | 0.946122i | ||||
\(923\) | 6.62223 | − | 24.7145i | 0.217973 | − | 0.813488i | ||||
\(924\) | 17.8472 | + | 12.9596i | 0.587129 | + | 0.426338i | ||||
\(925\) | 12.1791 | − | 31.8475i | 0.400447 | − | 1.04714i | ||||
\(926\) | −49.5121 | − | 28.5858i | −1.62707 | − | 0.939388i | ||||
\(927\) | −41.6291 | + | 5.39339i | −1.36728 | + | 0.177142i | ||||
\(928\) | 2.57909 | + | 0.691064i | 0.0846627 | + | 0.0226853i | ||||
\(929\) | 11.0927 | + | 19.2131i | 0.363940 | + | 0.630362i | 0.988605 | − | 0.150530i | \(-0.0480981\pi\) |
−0.624666 | + | 0.780892i | \(0.714765\pi\) | |||||||
\(930\) | −16.7391 | + | 22.3977i | −0.548896 | + | 0.734448i | ||||
\(931\) | −25.7755 | − | 1.96154i | −0.844760 | − | 0.0642867i | ||||
\(932\) | 8.16115 | + | 2.18677i | 0.267327 | + | 0.0716301i | ||||
\(933\) | 32.6966 | − | 28.6147i | 1.07044 | − | 0.936803i | ||||
\(934\) | − | 1.10433i | − | 0.0361347i | ||||||
\(935\) | −35.4167 | + | 7.55135i | −1.15825 | + | 0.246956i | ||||
\(936\) | −4.00818 | + | 29.9681i | −0.131011 | + | 0.979539i | ||||
\(937\) | 30.7803 | + | 30.7803i | 1.00555 | + | 1.00555i | 0.999985 | + | 0.00556508i | \(0.00177143\pi\) |
0.00556508 | + | 0.999985i | \(0.498229\pi\) | |||||||
\(938\) | 16.5441 | − | 3.76605i | 0.540186 | − | 0.122966i | ||||
\(939\) | −25.8372 | + | 38.5821i | −0.843166 | + | 1.25908i | ||||
\(940\) | −2.54460 | + | 7.84827i | −0.0829956 | + | 0.255982i | ||||
\(941\) | −39.0671 | − | 22.5554i | −1.27355 | − | 0.735285i | −0.297896 | − | 0.954598i | \(-0.596285\pi\) |
−0.975654 | + | 0.219314i | \(0.929618\pi\) | |||||||
\(942\) | 19.2773 | − | 56.5975i | 0.628087 | − | 1.84404i | ||||
\(943\) | 0.174991 | + | 0.0468888i | 0.00569850 | + | 0.00152691i | ||||
\(944\) | 29.7386 | 0.967909 | ||||||||
\(945\) | 29.4647 | + | 8.76525i | 0.958488 | + | 0.285134i | ||||
\(946\) | 23.9118 | 0.777439 | ||||||||
\(947\) | −56.5670 | − | 15.1571i | −1.83818 | − | 0.492539i | −0.839475 | − | 0.543398i | \(-0.817137\pi\) |
−0.998706 | + | 0.0508592i | \(0.983804\pi\) | |||||||
\(948\) | 6.33168 | − | 18.5896i | 0.205643 | − | 0.603762i | ||||
\(949\) | 44.3638 | + | 25.6135i | 1.44011 | + | 0.831448i | ||||
\(950\) | −30.6880 | + | 4.90012i | −0.995649 | + | 0.158981i | ||||
\(951\) | −24.5429 | + | 36.6493i | −0.795858 | + | 1.18843i | ||||
\(952\) | 9.89987 | + | 10.6819i | 0.320857 | + | 0.346202i | ||||
\(953\) | 3.24815 | + | 3.24815i | 0.105218 | + | 0.105218i | 0.757756 | − | 0.652538i | \(-0.226296\pi\) |
−0.652538 | + | 0.757756i | \(0.726296\pi\) | |||||||
\(954\) | 48.4798 | − | 19.9641i | 1.56959 | − | 0.646362i | ||||
\(955\) | 50.6680 | + | 32.8589i | 1.63958 | + | 1.06329i | ||||
\(956\) | − | 4.39376i | − | 0.142104i | ||||||
\(957\) | −4.53148 | + | 3.96575i | −0.146482 | + | 0.128195i | ||||
\(958\) | 4.32417 | + | 1.15866i | 0.139708 | + | 0.0374345i | ||||
\(959\) | −18.8270 | + | 29.9247i | −0.607957 | + | 0.966319i | ||||
\(960\) | 1.37052 | + | 9.47900i | 0.0442333 | + | 0.305933i | ||||
\(961\) | 6.29973 | + | 10.9115i | 0.203217 | + | 0.351982i | ||||
\(962\) | −56.8721 | − | 15.2388i | −1.83363 | − | 0.491319i | ||||
\(963\) | 2.70687 | − | 6.49709i | 0.0872277 | − | 0.209366i | ||||
\(964\) | 2.62179 | + | 1.51369i | 0.0844421 | + | 0.0487527i | ||||
\(965\) | −11.7268 | + | 10.5722i | −0.377497 | + | 0.340331i | ||||
\(966\) | 27.4957 | − | 12.2506i | 0.884661 | − | 0.394155i | ||||
\(967\) | 14.4423 | − | 53.8993i | 0.464432 | − | 1.73329i | −0.194332 | − | 0.980936i | \(-0.562254\pi\) |
0.658764 | − | 0.752350i | \(-0.271080\pi\) | |||||||
\(968\) | −31.1288 | − | 31.1288i | −1.00052 | − | 1.00052i | ||||
\(969\) | 16.0816 | − | 7.90997i | 0.516614 | − | 0.254105i | ||||
\(970\) | −15.1839 | − | 29.7538i | −0.487527 | − | 0.955337i | ||||
\(971\) | −9.60350 | − | 5.54459i | −0.308191 | − | 0.177934i | 0.337926 | − | 0.941173i | \(-0.390275\pi\) |
−0.646117 | + | 0.763239i | \(0.723608\pi\) | |||||||
\(972\) | 10.7558 | + | 7.26717i | 0.344992 | + | 0.233095i | ||||
\(973\) | 12.1251 | − | 11.2374i | 0.388713 | − | 0.360255i | ||||
\(974\) | −2.49897 | + | 4.32834i | −0.0800721 | + | 0.138689i | ||||
\(975\) | −15.3863 | − | 41.6768i | −0.492755 | − | 1.33473i | ||||
\(976\) | 0.647187 | − | 1.12096i | 0.0207159 | − | 0.0358811i | ||||
\(977\) | −1.54327 | − | 5.75956i | −0.0493736 | − | 0.184265i | 0.936835 | − | 0.349771i | \(-0.113741\pi\) |
−0.986209 | + | 0.165507i | \(0.947074\pi\) | |||||||
\(978\) | −39.8017 | − | 13.5566i | −1.27272 | − | 0.433491i | ||||
\(979\) | 4.75945 | + | 2.74787i | 0.152113 | + | 0.0878223i | ||||
\(980\) | 5.02659 | + | 12.0258i | 0.160569 | + | 0.384149i | ||||
\(981\) | 0.232767 | + | 0.0311322i | 0.00743169 | + | 0.000993974i | ||||
\(982\) | 14.5164 | − | 3.88967i | 0.463238 | − | 0.124124i | ||||
\(983\) | 42.4890 | + | 42.4890i | 1.35519 | + | 1.35519i | 0.879747 | + | 0.475443i | \(0.157712\pi\) |
0.475443 | + | 0.879747i | \(0.342288\pi\) | |||||||
\(984\) | 0.0878911 | − | 0.131246i | 0.00280186 | − | 0.00418395i | ||||
\(985\) | 52.0778 | + | 16.8849i | 1.65934 | + | 0.537996i | ||||
\(986\) | 2.45653 | − | 1.41828i | 0.0782320 | − | 0.0451673i | ||||
\(987\) | −7.27176 | + | 18.9585i | −0.231463 | + | 0.603456i | ||||
\(988\) | 4.08286 | + | 15.2375i | 0.129893 | + | 0.484768i | ||||
\(989\) | 4.79658 | − | 8.30793i | 0.152523 | − | 0.264177i | ||||
\(990\) | 58.8603 | + | 28.1783i | 1.87070 | + | 0.895566i | ||||
\(991\) | −3.47124 | − | 6.01236i | −0.110268 | − | 0.190989i | 0.805611 | − | 0.592445i | \(-0.201837\pi\) |
−0.915878 | + | 0.401456i | \(0.868504\pi\) | |||||||
\(992\) | 18.3926 | + | 4.92828i | 0.583966 | + | 0.156473i | ||||
\(993\) | 26.8951 | − | 5.32099i | 0.853491 | − | 0.168857i | ||||
\(994\) | −0.843270 | + | 22.1940i | −0.0267469 | + | 0.703951i | ||||
\(995\) | 9.78813 | + | 6.34773i | 0.310305 | + | 0.201236i | ||||
\(996\) | −4.32671 | + | 6.46097i | −0.137097 | + | 0.204724i | ||||
\(997\) | −15.8613 | − | 15.8613i | −0.502333 | − | 0.502333i | 0.409829 | − | 0.912162i | \(-0.365588\pi\) |
−0.912162 | + | 0.409829i | \(0.865588\pi\) | |||||||
\(998\) | −11.5399 | + | 43.0677i | −0.365291 | + | 1.36328i | ||||
\(999\) | 23.4458 | − | 26.5688i | 0.741792 | − | 0.840599i |
(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 | 315.2.bx.a.2.10 | yes | 176 | |
3.2 | odd | 2 | 945.2.ca.a.737.35 | 176 | |||
5.3 | odd | 4 | inner | 315.2.bx.a.128.10 | yes | 176 | |
7.4 | even | 3 | 315.2.bv.a.137.35 | yes | 176 | ||
9.4 | even | 3 | 945.2.by.a.422.35 | 176 | |||
9.5 | odd | 6 | 315.2.bv.a.212.10 | yes | 176 | ||
15.8 | even | 4 | 945.2.ca.a.548.35 | 176 | |||
21.11 | odd | 6 | 945.2.by.a.872.10 | 176 | |||
35.18 | odd | 12 | 315.2.bv.a.263.10 | yes | 176 | ||
45.13 | odd | 12 | 945.2.by.a.233.10 | 176 | |||
45.23 | even | 12 | 315.2.bv.a.23.35 | ✓ | 176 | ||
63.4 | even | 3 | 945.2.ca.a.557.35 | 176 | |||
63.32 | odd | 6 | inner | 315.2.bx.a.32.10 | yes | 176 | |
105.53 | even | 12 | 945.2.by.a.683.35 | 176 | |||
315.158 | even | 12 | inner | 315.2.bx.a.158.10 | yes | 176 | |
315.193 | odd | 12 | 945.2.ca.a.368.35 | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bv.a.23.35 | ✓ | 176 | 45.23 | even | 12 | ||
315.2.bv.a.137.35 | yes | 176 | 7.4 | even | 3 | ||
315.2.bv.a.212.10 | yes | 176 | 9.5 | odd | 6 | ||
315.2.bv.a.263.10 | yes | 176 | 35.18 | odd | 12 | ||
315.2.bx.a.2.10 | yes | 176 | 1.1 | even | 1 | trivial | |
315.2.bx.a.32.10 | yes | 176 | 63.32 | odd | 6 | inner | |
315.2.bx.a.128.10 | yes | 176 | 5.3 | odd | 4 | inner | |
315.2.bx.a.158.10 | yes | 176 | 315.158 | even | 12 | inner | |
945.2.by.a.233.10 | 176 | 45.13 | odd | 12 | |||
945.2.by.a.422.35 | 176 | 9.4 | even | 3 | |||
945.2.by.a.683.35 | 176 | 105.53 | even | 12 | |||
945.2.by.a.872.10 | 176 | 21.11 | odd | 6 | |||
945.2.ca.a.368.35 | 176 | 315.193 | odd | 12 | |||
945.2.ca.a.548.35 | 176 | 15.8 | even | 4 | |||
945.2.ca.a.557.35 | 176 | 63.4 | even | 3 | |||
945.2.ca.a.737.35 | 176 | 3.2 | odd | 2 |