Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 121.13 | ||
Character | \(\chi\) | \(=\) | 225.121 |
Dual form | 225.2.q.a.106.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.511634 | + | 0.108751i | −0.361780 | + | 0.0768986i | −0.385215 | − | 0.922827i | \(-0.625873\pi\) |
0.0234357 | + | 0.999725i | \(0.492539\pi\) | |||||||
\(3\) | 1.18489 | − | 1.26334i | 0.684099 | − | 0.729389i | ||||
\(4\) | −1.57715 | + | 0.702192i | −0.788574 | + | 0.351096i | ||||
\(5\) | 1.99861 | − | 1.00277i | 0.893807 | − | 0.448452i | ||||
\(6\) | −0.468843 | + | 0.775225i | −0.191404 | + | 0.316484i | ||||
\(7\) | −1.68864 | − | 2.92481i | −0.638246 | − | 1.10547i | −0.985817 | − | 0.167821i | \(-0.946327\pi\) |
0.347571 | − | 0.937654i | \(-0.387006\pi\) | |||||||
\(8\) | 1.57689 | − | 1.14568i | 0.557516 | − | 0.405059i | ||||
\(9\) | −0.192048 | − | 2.99385i | −0.0640161 | − | 0.997949i | ||||
\(10\) | −0.913505 | + | 0.730402i | −0.288876 | + | 0.230973i | ||||
\(11\) | −4.04299 | + | 0.859364i | −1.21901 | + | 0.259108i | −0.772117 | − | 0.635481i | \(-0.780802\pi\) |
−0.446890 | + | 0.894589i | \(0.647469\pi\) | |||||||
\(12\) | −0.981649 | + | 2.82450i | −0.283378 | + | 0.815362i | ||||
\(13\) | 4.96974 | + | 1.05635i | 1.37836 | + | 0.292979i | 0.836719 | − | 0.547632i | \(-0.184471\pi\) |
0.541639 | + | 0.840611i | \(0.317804\pi\) | |||||||
\(14\) | 1.18204 | + | 1.31279i | 0.315914 | + | 0.350858i | ||||
\(15\) | 1.10131 | − | 3.71310i | 0.284357 | − | 0.958719i | ||||
\(16\) | 1.62818 | − | 1.80828i | 0.407045 | − | 0.452070i | ||||
\(17\) | 0.0810977 | − | 0.0589209i | 0.0196691 | − | 0.0142904i | −0.577907 | − | 0.816102i | \(-0.696130\pi\) |
0.597576 | + | 0.801812i | \(0.296130\pi\) | |||||||
\(18\) | 0.423842 | + | 1.51087i | 0.0999006 | + | 0.356115i | ||||
\(19\) | 2.55513 | − | 1.85641i | 0.586188 | − | 0.425890i | −0.254762 | − | 0.967004i | \(-0.581997\pi\) |
0.840950 | + | 0.541113i | \(0.181997\pi\) | |||||||
\(20\) | −2.44797 | + | 2.98493i | −0.547383 | + | 0.667450i | ||||
\(21\) | −5.69589 | − | 1.33227i | −1.24294 | − | 0.290725i | ||||
\(22\) | 1.97507 | − | 0.879359i | 0.421087 | − | 0.187480i | ||||
\(23\) | −1.31885 | − | 1.46473i | −0.274998 | − | 0.305417i | 0.589786 | − | 0.807559i | \(-0.299212\pi\) |
−0.864785 | + | 0.502143i | \(0.832545\pi\) | |||||||
\(24\) | 0.421071 | − | 3.34966i | 0.0859508 | − | 0.683747i | ||||
\(25\) | 2.98891 | − | 4.00830i | 0.597781 | − | 0.801659i | ||||
\(26\) | −2.65757 | −0.521192 | ||||||||
\(27\) | −4.00980 | − | 3.30477i | −0.771686 | − | 0.636004i | ||||
\(28\) | 4.71702 | + | 3.42711i | 0.891432 | + | 0.647663i | ||||
\(29\) | −0.709179 | + | 6.74738i | −0.131691 | + | 1.25296i | 0.706552 | + | 0.707661i | \(0.250250\pi\) |
−0.838243 | + | 0.545297i | \(0.816417\pi\) | |||||||
\(30\) | −0.159663 | + | 2.01952i | −0.0291503 | + | 0.368712i | ||||
\(31\) | −0.254537 | − | 2.42176i | −0.0457162 | − | 0.434961i | −0.993310 | − | 0.115482i | \(-0.963159\pi\) |
0.947593 | − | 0.319479i | \(-0.103508\pi\) | |||||||
\(32\) | −2.58553 | + | 4.47827i | −0.457061 | + | 0.791653i | ||||
\(33\) | −3.70485 | + | 6.12592i | −0.644931 | + | 1.06639i | ||||
\(34\) | −0.0350846 | + | 0.0389654i | −0.00601696 | + | 0.00668251i | ||||
\(35\) | −6.30785 | − | 4.15225i | −1.06622 | − | 0.701858i | ||||
\(36\) | 2.40514 | + | 4.58689i | 0.400857 | + | 0.764481i | ||||
\(37\) | 0.930291 | + | 2.86314i | 0.152939 | + | 0.470698i | 0.997946 | − | 0.0640571i | \(-0.0204040\pi\) |
−0.845007 | + | 0.534755i | \(0.820404\pi\) | |||||||
\(38\) | −1.10541 | + | 1.22768i | −0.179320 | + | 0.199156i | ||||
\(39\) | 7.22315 | − | 5.02680i | 1.15663 | − | 0.804932i | ||||
\(40\) | 2.00275 | − | 3.87103i | 0.316662 | − | 0.612064i | ||||
\(41\) | 5.68382 | + | 1.20813i | 0.887663 | + | 0.188679i | 0.629108 | − | 0.777318i | \(-0.283420\pi\) |
0.258555 | + | 0.965996i | \(0.416754\pi\) | |||||||
\(42\) | 3.05909 | + | 0.0621998i | 0.472028 | + | 0.00959763i | ||||
\(43\) | 5.61908 | + | 9.73253i | 0.856902 | + | 1.48420i | 0.874869 | + | 0.484359i | \(0.160947\pi\) |
−0.0179676 | + | 0.999839i | \(0.505720\pi\) | |||||||
\(44\) | 5.77296 | − | 4.19430i | 0.870306 | − | 0.632314i | ||||
\(45\) | −3.38597 | − | 5.79096i | −0.504750 | − | 0.863265i | ||||
\(46\) | 0.834057 | + | 0.605978i | 0.122975 | + | 0.0893465i | ||||
\(47\) | −0.973397 | + | 9.26125i | −0.141985 | + | 1.35089i | 0.658971 | + | 0.752168i | \(0.270992\pi\) |
−0.800955 | + | 0.598724i | \(0.795675\pi\) | |||||||
\(48\) | −0.355244 | − | 4.19957i | −0.0512751 | − | 0.606155i | ||||
\(49\) | −2.20301 | + | 3.81573i | −0.314716 | + | 0.545105i | ||||
\(50\) | −1.09332 | + | 2.37583i | −0.154619 | + | 0.335993i | ||||
\(51\) | 0.0216552 | − | 0.172269i | 0.00303233 | − | 0.0241225i | ||||
\(52\) | −8.57978 | + | 1.82369i | −1.18980 | + | 0.252900i | ||||
\(53\) | 1.84804 | + | 1.34268i | 0.253848 | + | 0.184432i | 0.707431 | − | 0.706783i | \(-0.249854\pi\) |
−0.453582 | + | 0.891214i | \(0.649854\pi\) | |||||||
\(54\) | 2.41095 | + | 1.25476i | 0.328088 | + | 0.170752i | ||||
\(55\) | −7.21862 | + | 5.77172i | −0.973359 | + | 0.778259i | ||||
\(56\) | −6.01370 | − | 2.67747i | −0.803615 | − | 0.357792i | ||||
\(57\) | 0.682287 | − | 5.42765i | 0.0903711 | − | 0.718910i | ||||
\(58\) | −0.370946 | − | 3.52931i | −0.0487076 | − | 0.463421i | ||||
\(59\) | −8.28217 | − | 1.76043i | −1.07825 | − | 0.229188i | −0.365643 | − | 0.930755i | \(-0.619151\pi\) |
−0.712604 | + | 0.701567i | \(0.752484\pi\) | |||||||
\(60\) | 0.870382 | + | 6.62944i | 0.112366 | + | 0.855857i | ||||
\(61\) | −3.39787 | + | 0.722239i | −0.435052 | + | 0.0924732i | −0.420231 | − | 0.907417i | \(-0.638051\pi\) |
−0.0148208 | + | 0.999890i | \(0.504718\pi\) | |||||||
\(62\) | 0.393599 | + | 1.21137i | 0.0499871 | + | 0.153844i | ||||
\(63\) | −8.43214 | + | 5.61724i | −1.06235 | + | 0.707705i | ||||
\(64\) | −0.668023 | + | 2.05596i | −0.0835028 | + | 0.256995i | ||||
\(65\) | 10.9919 | − | 2.87227i | 1.36337 | − | 0.356261i | ||||
\(66\) | 1.22933 | − | 3.53713i | 0.151319 | − | 0.435391i | ||||
\(67\) | 1.41822 | + | 13.4935i | 0.173264 | + | 1.64849i | 0.643132 | + | 0.765756i | \(0.277635\pi\) |
−0.469868 | + | 0.882737i | \(0.655699\pi\) | |||||||
\(68\) | −0.0865293 | + | 0.149873i | −0.0104932 | + | 0.0181748i | ||||
\(69\) | −3.41314 | − | 0.0693985i | −0.410894 | − | 0.00835460i | ||||
\(70\) | 3.67887 | + | 1.43844i | 0.439709 | + | 0.171927i | ||||
\(71\) | 6.75154 | + | 4.90528i | 0.801260 | + | 0.582149i | 0.911283 | − | 0.411780i | \(-0.135093\pi\) |
−0.110024 | + | 0.993929i | \(0.535093\pi\) | |||||||
\(72\) | −3.73283 | − | 4.50095i | −0.439918 | − | 0.530442i | ||||
\(73\) | 3.28345 | − | 10.1054i | 0.384299 | − | 1.18275i | −0.552689 | − | 0.833387i | \(-0.686398\pi\) |
0.936988 | − | 0.349362i | \(-0.113602\pi\) | |||||||
\(74\) | −0.787338 | − | 1.36371i | −0.0915262 | − | 0.158528i | ||||
\(75\) | −1.52230 | − | 8.52541i | −0.175780 | − | 0.984430i | ||||
\(76\) | −2.72627 | + | 4.72203i | −0.312724 | + | 0.541654i | ||||
\(77\) | 9.34063 | + | 10.3738i | 1.06446 | + | 1.18221i | ||||
\(78\) | −3.14894 | + | 3.35741i | −0.356547 | + | 0.380151i | ||||
\(79\) | 1.50231 | − | 14.2935i | 0.169023 | − | 1.60815i | −0.500757 | − | 0.865588i | \(-0.666945\pi\) |
0.669780 | − | 0.742559i | \(-0.266388\pi\) | |||||||
\(80\) | 1.44082 | − | 5.24674i | 0.161088 | − | 0.586604i | ||||
\(81\) | −8.92623 | + | 1.14993i | −0.991804 | + | 0.127770i | ||||
\(82\) | −3.03942 | −0.335648 | ||||||||
\(83\) | −5.66643 | − | 2.52286i | −0.621971 | − | 0.276919i | 0.0714586 | − | 0.997444i | \(-0.477235\pi\) |
−0.693430 | + | 0.720524i | \(0.743901\pi\) | |||||||
\(84\) | 9.91877 | − | 1.89842i | 1.08223 | − | 0.207135i | ||||
\(85\) | 0.102999 | − | 0.199082i | 0.0111718 | − | 0.0215935i | ||||
\(86\) | −3.93333 | − | 4.36841i | −0.424142 | − | 0.471058i | ||||
\(87\) | 7.68393 | + | 8.89087i | 0.823803 | + | 0.953202i | ||||
\(88\) | −5.39081 | + | 5.98710i | −0.574662 | + | 0.638227i | ||||
\(89\) | −2.14728 | + | 6.60864i | −0.227611 | + | 0.700514i | 0.770405 | + | 0.637555i | \(0.220054\pi\) |
−0.998016 | + | 0.0629597i | \(0.979946\pi\) | |||||||
\(90\) | 2.36215 | + | 2.59462i | 0.248992 | + | 0.273497i | ||||
\(91\) | −5.30248 | − | 16.3193i | −0.555851 | − | 1.71073i | ||||
\(92\) | 3.10854 | + | 1.38401i | 0.324087 | + | 0.144293i | ||||
\(93\) | −3.36110 | − | 2.54796i | −0.348530 | − | 0.264211i | ||||
\(94\) | −0.509149 | − | 4.84423i | −0.0525147 | − | 0.499644i | ||||
\(95\) | 3.24517 | − | 6.27246i | 0.332947 | − | 0.643541i | ||||
\(96\) | 2.59399 | + | 8.57267i | 0.264748 | + | 0.874945i | ||||
\(97\) | 0.182492 | − | 1.73630i | 0.0185293 | − | 0.176294i | −0.981343 | − | 0.192264i | \(-0.938417\pi\) |
0.999872 | + | 0.0159700i | \(0.00508364\pi\) | |||||||
\(98\) | 0.712171 | − | 2.19184i | 0.0719402 | − | 0.221409i | ||||
\(99\) | 3.34925 | + | 11.9390i | 0.336612 | + | 1.19992i | ||||
\(100\) | −1.89935 | + | 8.42047i | −0.189935 | + | 0.842047i | ||||
\(101\) | −6.20087 | − | 10.7402i | −0.617010 | − | 1.06869i | −0.990028 | − | 0.140868i | \(-0.955011\pi\) |
0.373019 | − | 0.927824i | \(-0.378323\pi\) | |||||||
\(102\) | 0.00765492 | + | 0.0904936i | 0.000757950 | + | 0.00896020i | ||||
\(103\) | 8.00291 | − | 3.56312i | 0.788550 | − | 0.351085i | 0.0273697 | − | 0.999625i | \(-0.491287\pi\) |
0.761180 | + | 0.648540i | \(0.224620\pi\) | |||||||
\(104\) | 9.04699 | − | 4.02798i | 0.887130 | − | 0.394976i | ||||
\(105\) | −12.7198 | + | 3.04897i | −1.24133 | + | 0.297549i | ||||
\(106\) | −1.09154 | − | 0.485985i | −0.106020 | − | 0.0472030i | ||||
\(107\) | 3.09879 | 0.299571 | 0.149786 | − | 0.988718i | \(-0.452142\pi\) | ||||
0.149786 | + | 0.988718i | \(0.452142\pi\) | |||||||
\(108\) | 8.64463 | + | 2.39647i | 0.831830 | + | 0.230600i | ||||
\(109\) | −0.863050 | − | 2.65620i | −0.0826652 | − | 0.254417i | 0.901178 | − | 0.433449i | \(-0.142704\pi\) |
−0.983843 | + | 0.179032i | \(0.942704\pi\) | |||||||
\(110\) | 3.06561 | − | 3.73804i | 0.292294 | − | 0.356408i | ||||
\(111\) | 4.71942 | + | 2.21725i | 0.447947 | + | 0.210452i | ||||
\(112\) | −8.03829 | − | 1.70859i | −0.759547 | − | 0.161447i | ||||
\(113\) | 8.15534 | + | 1.73347i | 0.767190 | + | 0.163071i | 0.574852 | − | 0.818257i | \(-0.305060\pi\) |
0.192338 | + | 0.981329i | \(0.438393\pi\) | |||||||
\(114\) | 0.241183 | + | 2.85117i | 0.0225888 | + | 0.267037i | ||||
\(115\) | −4.10465 | − | 1.60492i | −0.382760 | − | 0.149660i | ||||
\(116\) | −3.61948 | − | 11.1396i | −0.336060 | − | 1.03429i | ||||
\(117\) | 2.20812 | − | 15.0815i | 0.204141 | − | 1.39429i | ||||
\(118\) | 4.42888 | 0.407712 | ||||||||
\(119\) | −0.309277 | − | 0.137699i | −0.0283514 | − | 0.0126229i | ||||
\(120\) | −2.51738 | − | 7.11691i | −0.229804 | − | 0.649682i | ||||
\(121\) | 5.55825 | − | 2.47469i | 0.505295 | − | 0.224972i | ||||
\(122\) | 1.65992 | − | 0.739043i | 0.150282 | − | 0.0669098i | ||||
\(123\) | 8.26101 | − | 5.74908i | 0.744870 | − | 0.518377i | ||||
\(124\) | 2.10198 | + | 3.64074i | 0.188764 | + | 0.326948i | ||||
\(125\) | 1.95426 | − | 11.0082i | 0.174795 | − | 0.984605i | ||||
\(126\) | 3.70328 | − | 3.79097i | 0.329915 | − | 0.337727i | ||||
\(127\) | 2.69804 | − | 8.30372i | 0.239412 | − | 0.736836i | −0.757093 | − | 0.653307i | \(-0.773381\pi\) |
0.996505 | − | 0.0835285i | \(-0.0266189\pi\) | |||||||
\(128\) | 1.19924 | − | 11.4100i | 0.105999 | − | 1.00851i | ||||
\(129\) | 18.9535 | + | 4.43323i | 1.66876 | + | 0.390324i | ||||
\(130\) | −5.31144 | + | 2.66493i | −0.465845 | + | 0.233730i | ||||
\(131\) | −0.0976235 | − | 0.928826i | −0.00852941 | − | 0.0811519i | 0.989429 | − | 0.145017i | \(-0.0463238\pi\) |
−0.997959 | + | 0.0638655i | \(0.979657\pi\) | |||||||
\(132\) | 1.54153 | − | 12.2630i | 0.134173 | − | 1.06736i | ||||
\(133\) | −9.74436 | − | 4.33847i | −0.844943 | − | 0.376193i | ||||
\(134\) | −2.19304 | − | 6.74949i | −0.189450 | − | 0.583067i | ||||
\(135\) | −11.3280 | − | 2.58405i | −0.974956 | − | 0.222400i | ||||
\(136\) | 0.0603779 | − | 0.185824i | 0.00517736 | − | 0.0159343i | ||||
\(137\) | 4.15156 | − | 4.61078i | 0.354692 | − | 0.393925i | −0.539222 | − | 0.842163i | \(-0.681282\pi\) |
0.893914 | + | 0.448238i | \(0.147948\pi\) | |||||||
\(138\) | 1.75382 | − | 0.335676i | 0.149295 | − | 0.0285746i | ||||
\(139\) | −3.82314 | − | 4.24603i | −0.324275 | − | 0.360143i | 0.558861 | − | 0.829261i | \(-0.311239\pi\) |
−0.883136 | + | 0.469118i | \(0.844572\pi\) | |||||||
\(140\) | 12.8641 | + | 2.11939i | 1.08721 | + | 0.179121i | ||||
\(141\) | 10.5467 | + | 12.2033i | 0.888194 | + | 1.02771i | ||||
\(142\) | −3.98777 | − | 1.77547i | −0.334646 | − | 0.148994i | ||||
\(143\) | −21.0004 | −1.75614 | ||||||||
\(144\) | −5.72640 | − | 4.52725i | −0.477200 | − | 0.377271i | ||||
\(145\) | 5.34870 | + | 14.1965i | 0.444185 | + | 1.17896i | ||||
\(146\) | −0.580948 | + | 5.52735i | −0.0480796 | + | 0.457447i | ||||
\(147\) | 2.21022 | + | 7.30439i | 0.182296 | + | 0.602456i | ||||
\(148\) | −3.47768 | − | 3.86236i | −0.285864 | − | 0.317484i | ||||
\(149\) | −10.5541 | + | 18.2802i | −0.864623 | + | 1.49757i | 0.00279771 | + | 0.999996i | \(0.499109\pi\) |
−0.867421 | + | 0.497575i | \(0.834224\pi\) | |||||||
\(150\) | 1.70601 | + | 4.19634i | 0.139295 | + | 0.342629i | ||||
\(151\) | 8.84475 | + | 15.3196i | 0.719776 | + | 1.24669i | 0.961088 | + | 0.276241i | \(0.0890888\pi\) |
−0.241313 | + | 0.970447i | \(0.577578\pi\) | |||||||
\(152\) | 1.90232 | − | 5.85473i | 0.154298 | − | 0.474882i | ||||
\(153\) | −0.191975 | − | 0.231478i | −0.0155202 | − | 0.0187139i | ||||
\(154\) | −5.90715 | − | 4.29179i | −0.476011 | − | 0.345843i | ||||
\(155\) | −2.93719 | − | 4.58491i | −0.235921 | − | 0.368269i | ||||
\(156\) | −7.86220 | + | 13.0000i | −0.629480 | + | 1.04084i | ||||
\(157\) | 0.489023 | − | 0.847013i | 0.0390283 | − | 0.0675990i | −0.845851 | − | 0.533419i | \(-0.820907\pi\) |
0.884880 | + | 0.465820i | \(0.154240\pi\) | |||||||
\(158\) | 0.785804 | + | 7.47643i | 0.0625152 | + | 0.594793i | ||||
\(159\) | 3.88600 | − | 0.743767i | 0.308180 | − | 0.0589846i | ||||
\(160\) | −0.676799 | + | 11.5430i | −0.0535057 | + | 0.912555i | ||||
\(161\) | −2.05699 | + | 6.33077i | −0.162114 | + | 0.498935i | ||||
\(162\) | 4.44191 | − | 1.55908i | 0.348989 | − | 0.122493i | ||||
\(163\) | 3.86004 | + | 11.8800i | 0.302341 | + | 0.930511i | 0.980656 | + | 0.195740i | \(0.0627107\pi\) |
−0.678314 | + | 0.734772i | \(0.737289\pi\) | |||||||
\(164\) | −9.81257 | + | 2.08573i | −0.766233 | + | 0.162868i | ||||
\(165\) | −1.26167 | + | 15.9584i | −0.0982210 | + | 1.24236i | ||||
\(166\) | 3.17350 | + | 0.674548i | 0.246311 | + | 0.0523551i | ||||
\(167\) | −2.05606 | − | 19.5621i | −0.159103 | − | 1.51376i | −0.724691 | − | 0.689074i | \(-0.758018\pi\) |
0.565588 | − | 0.824688i | \(-0.308649\pi\) | |||||||
\(168\) | −10.5082 | + | 4.42482i | −0.810722 | + | 0.341382i | ||||
\(169\) | 11.7063 | + | 5.21200i | 0.900488 | + | 0.400923i | ||||
\(170\) | −0.0310472 | + | 0.113058i | −0.00238121 | + | 0.00867119i | ||||
\(171\) | −6.04853 | − | 7.29316i | −0.462542 | − | 0.557722i | ||||
\(172\) | −15.6962 | − | 11.4040i | −1.19683 | − | 0.869545i | ||||
\(173\) | −3.71248 | + | 0.789111i | −0.282254 | + | 0.0599950i | −0.346864 | − | 0.937916i | \(-0.612753\pi\) |
0.0646091 | + | 0.997911i | \(0.479420\pi\) | |||||||
\(174\) | −4.89825 | − | 3.71323i | −0.371335 | − | 0.281500i | ||||
\(175\) | −16.7707 | − | 1.97341i | −1.26775 | − | 0.149176i | ||||
\(176\) | −5.02875 | + | 8.71005i | −0.379056 | + | 0.656545i | ||||
\(177\) | −12.0375 | + | 8.37726i | −0.904795 | + | 0.629673i | ||||
\(178\) | 0.379922 | − | 3.61472i | 0.0284764 | − | 0.270935i | ||||
\(179\) | 3.68369 | + | 2.67636i | 0.275332 | + | 0.200040i | 0.716879 | − | 0.697198i | \(-0.245570\pi\) |
−0.441547 | + | 0.897238i | \(0.645570\pi\) | |||||||
\(180\) | 9.40654 | + | 6.75560i | 0.701122 | + | 0.503533i | ||||
\(181\) | 15.5083 | − | 11.2674i | 1.15272 | − | 0.837501i | 0.163881 | − | 0.986480i | \(-0.447599\pi\) |
0.988840 | + | 0.148979i | \(0.0475988\pi\) | |||||||
\(182\) | 4.48767 | + | 7.77288i | 0.332648 | + | 0.576164i | ||||
\(183\) | −3.11368 | + | 5.14843i | −0.230170 | + | 0.380583i | ||||
\(184\) | −3.75779 | − | 0.798743i | −0.277028 | − | 0.0588841i | ||||
\(185\) | 4.73036 | + | 4.78944i | 0.347783 | + | 0.352127i | ||||
\(186\) | 1.99675 | + | 0.938100i | 0.146409 | + | 0.0687848i | ||||
\(187\) | −0.277242 | + | 0.307909i | −0.0202740 | + | 0.0225165i | ||||
\(188\) | −4.96798 | − | 15.2899i | −0.362328 | − | 1.11513i | ||||
\(189\) | −2.89473 | + | 17.3085i | −0.210560 | + | 1.25901i | ||||
\(190\) | −0.978200 | + | 3.56212i | −0.0709661 | + | 0.258423i | ||||
\(191\) | −11.7657 | + | 13.0671i | −0.851336 | + | 0.945504i | −0.999052 | − | 0.0435258i | \(-0.986141\pi\) |
0.147717 | + | 0.989030i | \(0.452808\pi\) | |||||||
\(192\) | 1.80584 | + | 3.28004i | 0.130325 | + | 0.236716i | ||||
\(193\) | −9.88753 | + | 17.1257i | −0.711720 | + | 1.23273i | 0.252491 | + | 0.967599i | \(0.418750\pi\) |
−0.964211 | + | 0.265136i | \(0.914583\pi\) | |||||||
\(194\) | 0.0954550 | + | 0.908193i | 0.00685327 | + | 0.0652045i | ||||
\(195\) | 9.39555 | − | 17.2898i | 0.672830 | − | 1.23815i | ||||
\(196\) | 0.795105 | − | 7.56492i | 0.0567932 | − | 0.540351i | ||||
\(197\) | 0.487820 | + | 0.354422i | 0.0347558 | + | 0.0252515i | 0.605028 | − | 0.796205i | \(-0.293162\pi\) |
−0.570272 | + | 0.821456i | \(0.693162\pi\) | |||||||
\(198\) | −3.01197 | − | 5.74418i | −0.214052 | − | 0.408221i | ||||
\(199\) | −18.7806 | −1.33132 | −0.665659 | − | 0.746256i | \(-0.731850\pi\) | ||||
−0.665659 | + | 0.746256i | \(0.731850\pi\) | |||||||
\(200\) | 0.120959 | − | 9.74499i | 0.00855308 | − | 0.689075i | ||||
\(201\) | 18.7273 | + | 14.1967i | 1.32092 | + | 1.00136i | ||||
\(202\) | 4.34059 | + | 4.82071i | 0.305403 | + | 0.339184i | ||||
\(203\) | 20.9324 | − | 9.31969i | 1.46916 | − | 0.654114i | ||||
\(204\) | 0.0868124 | + | 0.286900i | 0.00607808 | + | 0.0200870i | ||||
\(205\) | 12.5712 | − | 3.28497i | 0.878013 | − | 0.229432i | ||||
\(206\) | −3.70706 | + | 2.69334i | −0.258283 | + | 0.187654i | ||||
\(207\) | −4.13189 | + | 4.22972i | −0.287186 | + | 0.293986i | ||||
\(208\) | 10.0018 | − | 7.26675i | 0.693501 | − | 0.503858i | ||||
\(209\) | −8.73504 | + | 9.70125i | −0.604216 | + | 0.671049i | ||||
\(210\) | 6.17632 | − | 2.94325i | 0.426206 | − | 0.203104i | ||||
\(211\) | −11.1072 | − | 12.3358i | −0.764650 | − | 0.849229i | 0.227566 | − | 0.973763i | \(-0.426923\pi\) |
−0.992215 | + | 0.124533i | \(0.960257\pi\) | |||||||
\(212\) | −3.85746 | − | 0.819929i | −0.264931 | − | 0.0563129i | ||||
\(213\) | 14.1969 | − | 2.71724i | 0.972755 | − | 0.186182i | ||||
\(214\) | −1.58545 | + | 0.336997i | −0.108379 | + | 0.0230366i | ||||
\(215\) | 20.9899 | + | 13.8169i | 1.43150 | + | 0.942306i | ||||
\(216\) | −10.1092 | − | 0.617326i | −0.687846 | − | 0.0420037i | ||||
\(217\) | −6.65336 | + | 4.83395i | −0.451660 | + | 0.328150i | ||||
\(218\) | 0.730430 | + | 1.26514i | 0.0494709 | + | 0.0856862i | ||||
\(219\) | −8.87602 | − | 16.1220i | −0.599786 | − | 1.08942i | ||||
\(220\) | 7.33199 | − | 14.1717i | 0.494322 | − | 0.955457i | ||||
\(221\) | 0.465275 | − | 0.207154i | 0.0312978 | − | 0.0139347i | ||||
\(222\) | −2.65574 | − | 0.621178i | −0.178242 | − | 0.0416907i | ||||
\(223\) | −2.86581 | + | 0.609147i | −0.191909 | + | 0.0407915i | −0.302863 | − | 0.953034i | \(-0.597943\pi\) |
0.110954 | + | 0.993825i | \(0.464609\pi\) | |||||||
\(224\) | 17.4641 | 1.16687 | ||||||||
\(225\) | −12.5742 | − | 8.17854i | −0.838283 | − | 0.545236i | ||||
\(226\) | −4.36106 | −0.290094 | ||||||||
\(227\) | 21.6311 | − | 4.59782i | 1.43570 | − | 0.305168i | 0.576624 | − | 0.817010i | \(-0.304370\pi\) |
0.859080 | + | 0.511842i | \(0.171037\pi\) | |||||||
\(228\) | 2.73519 | + | 9.03931i | 0.181142 | + | 0.598643i | ||||
\(229\) | −16.5508 | + | 7.36890i | −1.09371 | + | 0.486950i | −0.872668 | − | 0.488314i | \(-0.837612\pi\) |
−0.221041 | + | 0.975265i | \(0.570945\pi\) | |||||||
\(230\) | 2.27461 | + | 0.374748i | 0.149984 | + | 0.0247101i | ||||
\(231\) | 24.1733 | + | 0.491510i | 1.59049 | + | 0.0323390i | ||||
\(232\) | 6.61204 | + | 11.4524i | 0.434102 | + | 0.751887i | ||||
\(233\) | 6.92161 | − | 5.02884i | 0.453450 | − | 0.329450i | −0.337507 | − | 0.941323i | \(-0.609584\pi\) |
0.790956 | + | 0.611873i | \(0.209584\pi\) | |||||||
\(234\) | 0.510381 | + | 7.95634i | 0.0333646 | + | 0.520122i | ||||
\(235\) | 7.34146 | + | 19.4858i | 0.478904 | + | 1.27111i | ||||
\(236\) | 14.2984 | − | 3.03921i | 0.930745 | − | 0.197836i | ||||
\(237\) | −16.2775 | − | 18.8343i | −1.05734 | − | 1.22342i | ||||
\(238\) | 0.173212 | + | 0.0368173i | 0.0112276 | + | 0.00238651i | ||||
\(239\) | −14.2452 | − | 15.8209i | −0.921443 | − | 1.02337i | −0.999651 | − | 0.0264295i | \(-0.991586\pi\) |
0.0782072 | − | 0.996937i | \(-0.475080\pi\) | |||||||
\(240\) | −4.92119 | − | 8.03708i | −0.317662 | − | 0.518791i | ||||
\(241\) | 1.90768 | − | 2.11869i | 0.122884 | − | 0.136477i | −0.678563 | − | 0.734542i | \(-0.737397\pi\) |
0.801447 | + | 0.598065i | \(0.204064\pi\) | |||||||
\(242\) | −2.57466 | + | 1.87060i | −0.165506 | + | 0.120247i | ||||
\(243\) | −9.12390 | + | 12.6394i | −0.585299 | + | 0.810818i | ||||
\(244\) | 4.85179 | − | 3.52503i | 0.310604 | − | 0.225667i | ||||
\(245\) | −0.576671 | + | 9.83529i | −0.0368421 | + | 0.628353i | ||||
\(246\) | −3.60139 | + | 3.83982i | −0.229616 | + | 0.244818i | ||||
\(247\) | 14.6594 | − | 6.52677i | 0.932754 | − | 0.415289i | ||||
\(248\) | −3.17594 | − | 3.52724i | −0.201672 | − | 0.223980i | ||||
\(249\) | −9.90134 | + | 4.16930i | −0.627472 | + | 0.264218i | ||||
\(250\) | 0.197288 | + | 5.84470i | 0.0124776 | + | 0.369651i | ||||
\(251\) | 1.54809 | 0.0977144 | 0.0488572 | − | 0.998806i | \(-0.484442\pi\) | ||||
0.0488572 | + | 0.998806i | \(0.484442\pi\) | |||||||
\(252\) | 9.35436 | − | 14.7802i | 0.589269 | − | 0.931065i | ||||
\(253\) | 6.59081 | + | 4.78851i | 0.414361 | + | 0.301051i | ||||
\(254\) | −0.477370 | + | 4.54188i | −0.0299529 | + | 0.284983i | ||||
\(255\) | −0.129466 | − | 0.366014i | −0.00810746 | − | 0.0229207i | ||||
\(256\) | 0.175347 | + | 1.66831i | 0.0109592 | + | 0.104269i | ||||
\(257\) | −5.00583 | + | 8.67035i | −0.312255 | + | 0.540842i | −0.978850 | − | 0.204578i | \(-0.934418\pi\) |
0.666595 | + | 0.745420i | \(0.267751\pi\) | |||||||
\(258\) | −10.1794 | − | 0.206975i | −0.633740 | − | 0.0128857i | ||||
\(259\) | 6.80322 | − | 7.55575i | 0.422732 | − | 0.469491i | ||||
\(260\) | −15.3189 | + | 12.2484i | −0.950039 | + | 0.759613i | ||||
\(261\) | 20.3368 | + | 0.827349i | 1.25882 | + | 0.0512116i | ||||
\(262\) | 0.150958 | + | 0.464602i | 0.00932623 | + | 0.0287032i | ||||
\(263\) | 9.67179 | − | 10.7416i | 0.596388 | − | 0.662356i | −0.367077 | − | 0.930191i | \(-0.619641\pi\) |
0.963465 | + | 0.267834i | \(0.0863080\pi\) | |||||||
\(264\) | 1.17619 | + | 13.9045i | 0.0723895 | + | 0.855762i | ||||
\(265\) | 5.03993 | + | 0.830340i | 0.309600 | + | 0.0510074i | ||||
\(266\) | 5.45736 | + | 1.16000i | 0.334612 | + | 0.0711240i | ||||
\(267\) | 5.80465 | + | 10.5433i | 0.355239 | + | 0.645238i | ||||
\(268\) | −11.7118 | − | 20.2854i | −0.715410 | − | 1.23913i | ||||
\(269\) | −24.3691 | + | 17.7052i | −1.48581 | + | 1.07951i | −0.510187 | + | 0.860064i | \(0.670424\pi\) |
−0.975626 | + | 0.219442i | \(0.929576\pi\) | |||||||
\(270\) | 6.07678 | + | 0.0901608i | 0.369821 | + | 0.00548701i | ||||
\(271\) | −7.60294 | − | 5.52386i | −0.461846 | − | 0.335551i | 0.332409 | − | 0.943135i | \(-0.392139\pi\) |
−0.794255 | + | 0.607585i | \(0.792139\pi\) | |||||||
\(272\) | 0.0254963 | − | 0.242581i | 0.00154594 | − | 0.0147086i | ||||
\(273\) | −26.8997 | − | 12.6379i | −1.62805 | − | 0.764880i | ||||
\(274\) | −1.62265 | + | 2.81051i | −0.0980280 | + | 0.169789i | ||||
\(275\) | −8.63952 | + | 18.7741i | −0.520983 | + | 1.13212i | ||||
\(276\) | 5.43176 | − | 2.28723i | 0.326954 | − | 0.137675i | ||||
\(277\) | −10.0183 | + | 2.12946i | −0.601943 | + | 0.127947i | −0.498796 | − | 0.866719i | \(-0.666224\pi\) |
−0.103147 | + | 0.994666i | \(0.532891\pi\) | |||||||
\(278\) | 2.41781 | + | 1.75664i | 0.145011 | + | 0.105356i | ||||
\(279\) | −7.20149 | + | 1.22714i | −0.431142 | + | 0.0734669i | ||||
\(280\) | −14.7040 | + | 0.679129i | −0.878729 | + | 0.0405857i | ||||
\(281\) | 1.38210 | + | 0.615351i | 0.0824492 | + | 0.0367087i | 0.447547 | − | 0.894260i | \(-0.352298\pi\) |
−0.365098 | + | 0.930969i | \(0.618964\pi\) | |||||||
\(282\) | −6.72319 | − | 5.09667i | −0.400360 | − | 0.303502i | ||||
\(283\) | 2.49158 | + | 23.7058i | 0.148109 | + | 1.40916i | 0.775938 | + | 0.630810i | \(0.217277\pi\) |
−0.627829 | + | 0.778351i | \(0.716056\pi\) | |||||||
\(284\) | −14.0926 | − | 2.99548i | −0.836243 | − | 0.177749i | ||||
\(285\) | −4.07906 | − | 11.5320i | −0.241623 | − | 0.683094i | ||||
\(286\) | 10.7445 | − | 2.28382i | 0.635336 | − | 0.135045i | ||||
\(287\) | −6.06437 | − | 18.6642i | −0.357968 | − | 1.10171i | ||||
\(288\) | 13.9038 | + | 6.88063i | 0.819288 | + | 0.405445i | ||||
\(289\) | −5.25018 | + | 16.1584i | −0.308834 | + | 0.950494i | ||||
\(290\) | −4.28046 | − | 6.68176i | −0.251358 | − | 0.392366i | ||||
\(291\) | −1.97729 | − | 2.28788i | −0.115911 | − | 0.134118i | ||||
\(292\) | 1.91745 | + | 18.2434i | 0.112210 | + | 1.06761i | ||||
\(293\) | −0.224026 | + | 0.388025i | −0.0130878 | + | 0.0226687i | −0.872495 | − | 0.488623i | \(-0.837499\pi\) |
0.859407 | + | 0.511292i | \(0.170833\pi\) | |||||||
\(294\) | −1.92518 | − | 3.49681i | −0.112279 | − | 0.203938i | ||||
\(295\) | −18.3182 | + | 4.78669i | −1.06652 | + | 0.278692i | ||||
\(296\) | 4.74722 | + | 3.44905i | 0.275926 | + | 0.200472i | ||||
\(297\) | 19.0516 | + | 9.91528i | 1.10548 | + | 0.575343i | ||||
\(298\) | 3.41183 | − | 10.5005i | 0.197642 | − | 0.608279i | ||||
\(299\) | −5.00706 | − | 8.67248i | −0.289566 | − | 0.501542i | ||||
\(300\) | 8.38736 | + | 12.3769i | 0.484245 | + | 0.714580i | ||||
\(301\) | 18.9772 | − | 32.8695i | 1.09383 | − | 1.89457i | ||||
\(302\) | −6.19129 | − | 6.87613i | −0.356269 | − | 0.395677i | ||||
\(303\) | −20.9159 | − | 4.89224i | −1.20159 | − | 0.281052i | ||||
\(304\) | 0.803309 | − | 7.64297i | 0.0460729 | − | 0.438355i | ||||
\(305\) | −6.06678 | + | 4.85075i | −0.347383 | + | 0.277753i | ||||
\(306\) | 0.123394 | + | 0.0975546i | 0.00705398 | + | 0.00557683i | ||||
\(307\) | 5.99405 | 0.342099 | 0.171049 | − | 0.985262i | \(-0.445284\pi\) | ||||
0.171049 | + | 0.985262i | \(0.445284\pi\) | |||||||
\(308\) | −22.0160 | − | 9.80214i | −1.25448 | − | 0.558529i | ||||
\(309\) | 4.98117 | − | 14.3323i | 0.283369 | − | 0.815337i | ||||
\(310\) | 2.00138 | + | 2.02637i | 0.113671 | + | 0.115090i | ||||
\(311\) | −14.8967 | − | 16.5445i | −0.844716 | − | 0.938152i | 0.154037 | − | 0.988065i | \(-0.450772\pi\) |
−0.998754 | + | 0.0499127i | \(0.984106\pi\) | |||||||
\(312\) | 5.63103 | − | 16.2021i | 0.318794 | − | 0.917266i | ||||
\(313\) | 2.35212 | − | 2.61229i | 0.132949 | − | 0.147655i | −0.672994 | − | 0.739648i | \(-0.734992\pi\) |
0.805943 | + | 0.591993i | \(0.201659\pi\) | |||||||
\(314\) | −0.158087 | + | 0.486542i | −0.00892137 | + | 0.0274572i | ||||
\(315\) | −11.2198 | + | 19.6822i | −0.632163 | + | 1.10896i | ||||
\(316\) | 7.66743 | + | 23.5979i | 0.431327 | + | 1.32749i | ||||
\(317\) | 3.76678 | + | 1.67708i | 0.211564 | + | 0.0941942i | 0.509783 | − | 0.860303i | \(-0.329726\pi\) |
−0.298219 | + | 0.954498i | \(0.596393\pi\) | |||||||
\(318\) | −1.90732 | + | 0.803143i | −0.106957 | + | 0.0450380i | ||||
\(319\) | −2.93126 | − | 27.8890i | −0.164119 | − | 1.56149i | ||||
\(320\) | 0.726539 | + | 4.77895i | 0.0406147 | + | 0.267151i | ||||
\(321\) | 3.67174 | − | 3.91482i | 0.204937 | − | 0.218504i | ||||
\(322\) | 0.363948 | − | 3.46274i | 0.0202820 | − | 0.192971i | ||||
\(323\) | 0.0978338 | − | 0.301102i | 0.00544362 | − | 0.0167537i | ||||
\(324\) | 13.2705 | − | 8.08153i | 0.737252 | − | 0.448974i | ||||
\(325\) | 19.0883 | − | 16.7629i | 1.05883 | − | 0.929836i | ||||
\(326\) | −3.26689 | − | 5.65841i | −0.180936 | − | 0.313390i | ||||
\(327\) | −4.37830 | − | 2.05699i | −0.242120 | − | 0.113752i | ||||
\(328\) | 10.3469 | − | 4.60674i | 0.571313 | − | 0.254365i | ||||
\(329\) | 28.7311 | − | 12.7919i | 1.58400 | − | 0.705242i | ||||
\(330\) | −1.08998 | − | 8.30209i | −0.0600017 | − | 0.457015i | ||||
\(331\) | 14.3453 | + | 6.38692i | 0.788487 | + | 0.351057i | 0.761155 | − | 0.648569i | \(-0.224632\pi\) |
0.0273314 | + | 0.999626i | \(0.491299\pi\) | |||||||
\(332\) | 10.7083 | 0.587696 | ||||||||
\(333\) | 8.39315 | − | 3.33501i | 0.459942 | − | 0.182757i | ||||
\(334\) | 3.17935 | + | 9.78504i | 0.173966 | + | 0.535413i | ||||
\(335\) | 16.3653 | + | 25.5461i | 0.894134 | + | 1.39573i | ||||
\(336\) | −11.6831 | + | 8.13058i | −0.637363 | + | 0.443559i | ||||
\(337\) | 25.4247 | + | 5.40419i | 1.38497 | + | 0.294385i | 0.839325 | − | 0.543629i | \(-0.182950\pi\) |
0.545648 | + | 0.838014i | \(0.316284\pi\) | |||||||
\(338\) | −6.55617 | − | 1.39356i | −0.356609 | − | 0.0757995i | ||||
\(339\) | 11.8532 | − | 8.24898i | 0.643777 | − | 0.448023i | ||||
\(340\) | −0.0226503 | + | 0.386307i | −0.00122838 | + | 0.0209505i | ||||
\(341\) | 3.11026 | + | 9.57240i | 0.168430 | + | 0.518375i | ||||
\(342\) | 3.88777 | + | 3.07364i | 0.210226 | + | 0.166204i | ||||
\(343\) | −8.76057 | −0.473026 | ||||||||
\(344\) | 20.0111 | + | 8.90950i | 1.07892 | + | 0.480368i | ||||
\(345\) | −6.89114 | + | 3.28389i | −0.371006 | + | 0.176799i | ||||
\(346\) | 1.81361 | − | 0.807472i | 0.0975004 | − | 0.0434100i | ||||
\(347\) | −11.2161 | + | 4.99372i | −0.602111 | + | 0.268077i | −0.685071 | − | 0.728476i | \(-0.740229\pi\) |
0.0829607 | + | 0.996553i | \(0.473562\pi\) | |||||||
\(348\) | −18.3618 | − | 8.62664i | −0.984295 | − | 0.462436i | ||||
\(349\) | −12.3258 | − | 21.3489i | −0.659784 | − | 1.14278i | −0.980671 | − | 0.195662i | \(-0.937314\pi\) |
0.320888 | − | 0.947117i | \(-0.396019\pi\) | |||||||
\(350\) | 8.79507 | − | 0.814168i | 0.470116 | − | 0.0435191i | ||||
\(351\) | −16.4367 | − | 20.6596i | −0.877324 | − | 1.10273i | ||||
\(352\) | 6.60480 | − | 20.3275i | 0.352037 | − | 1.08346i | ||||
\(353\) | −2.66609 | + | 25.3662i | −0.141902 | + | 1.35011i | 0.659376 | + | 0.751813i | \(0.270821\pi\) |
−0.801278 | + | 0.598292i | \(0.795846\pi\) | |||||||
\(354\) | 5.24776 | − | 5.59518i | 0.278915 | − | 0.297380i | ||||
\(355\) | 18.4126 | + | 3.03351i | 0.977238 | + | 0.161002i | ||||
\(356\) | −1.25396 | − | 11.9306i | −0.0664596 | − | 0.632321i | ||||
\(357\) | −0.540422 | + | 0.227563i | −0.0286021 | + | 0.0120439i | ||||
\(358\) | −2.17576 | − | 0.968709i | −0.114992 | − | 0.0511978i | ||||
\(359\) | 2.79781 | + | 8.61076i | 0.147663 | + | 0.454459i | 0.997344 | − | 0.0728380i | \(-0.0232056\pi\) |
−0.849681 | + | 0.527297i | \(0.823206\pi\) | |||||||
\(360\) | −11.9739 | − | 5.25249i | −0.631080 | − | 0.276830i | ||||
\(361\) | −2.78888 | + | 8.58330i | −0.146783 | + | 0.451753i | ||||
\(362\) | −6.70921 | + | 7.45133i | −0.352628 | + | 0.391633i | ||||
\(363\) | 3.45957 | − | 9.95420i | 0.181580 | − | 0.522460i | ||||
\(364\) | 19.8221 | + | 22.0147i | 1.03896 | + | 1.15388i | ||||
\(365\) | −3.57106 | − | 23.4894i | −0.186918 | − | 1.22949i | ||||
\(366\) | 1.03317 | − | 2.97273i | 0.0540045 | − | 0.155387i | ||||
\(367\) | −21.5890 | − | 9.61205i | −1.12694 | − | 0.501745i | −0.243316 | − | 0.969947i | \(-0.578235\pi\) |
−0.883621 | + | 0.468202i | \(0.844902\pi\) | |||||||
\(368\) | −4.79596 | −0.250007 | ||||||||
\(369\) | 2.52540 | − | 17.2485i | 0.131467 | − | 0.897921i | ||||
\(370\) | −2.94107 | − | 1.93601i | −0.152899 | − | 0.100648i | ||||
\(371\) | 0.806411 | − | 7.67249i | 0.0418668 | − | 0.398336i | ||||
\(372\) | 7.09011 | + | 1.65838i | 0.367605 | + | 0.0859829i | ||||
\(373\) | −1.10252 | − | 1.22447i | −0.0570864 | − | 0.0634009i | 0.713925 | − | 0.700222i | \(-0.246916\pi\) |
−0.771012 | + | 0.636821i | \(0.780249\pi\) | |||||||
\(374\) | 0.108361 | − | 0.187687i | 0.00560322 | − | 0.00970506i | ||||
\(375\) | −11.5915 | − | 15.5125i | −0.598583 | − | 0.801061i | ||||
\(376\) | 9.07549 | + | 15.7192i | 0.468033 | + | 0.810656i | ||||
\(377\) | −10.6520 | + | 32.7836i | −0.548608 | + | 1.68844i | ||||
\(378\) | −0.401277 | − | 9.17040i | −0.0206395 | − | 0.471675i | ||||
\(379\) | 17.3280 | + | 12.5895i | 0.890077 | + | 0.646679i | 0.935898 | − | 0.352271i | \(-0.114590\pi\) |
−0.0458208 | + | 0.998950i | \(0.514590\pi\) | |||||||
\(380\) | −0.713640 | + | 12.1713i | −0.0366089 | + | 0.624376i | ||||
\(381\) | −7.29351 | − | 13.2476i | −0.373658 | − | 0.678693i | ||||
\(382\) | 4.59866 | − | 7.96511i | 0.235288 | − | 0.407531i | ||||
\(383\) | 1.18840 | + | 11.3069i | 0.0607244 | + | 0.577755i | 0.982005 | + | 0.188856i | \(0.0604778\pi\) |
−0.921280 | + | 0.388899i | \(0.872856\pi\) | |||||||
\(384\) | −12.9937 | − | 15.0347i | −0.663083 | − | 0.767236i | ||||
\(385\) | 29.0709 | + | 11.3667i | 1.48159 | + | 0.579303i | ||||
\(386\) | 3.19635 | − | 9.83736i | 0.162690 | − | 0.500709i | ||||
\(387\) | 28.0586 | − | 18.6918i | 1.42630 | − | 0.950157i | ||||
\(388\) | 0.931395 | + | 2.86654i | 0.0472844 | + | 0.145527i | ||||
\(389\) | 14.2155 | − | 3.02160i | 0.720755 | − | 0.153201i | 0.167091 | − | 0.985941i | \(-0.446563\pi\) |
0.553664 | + | 0.832740i | \(0.313229\pi\) | |||||||
\(390\) | −2.92680 | + | 9.86781i | −0.148204 | + | 0.499676i | ||||
\(391\) | −0.193258 | − | 0.0410783i | −0.00977349 | − | 0.00207742i | ||||
\(392\) | 0.897690 | + | 8.54095i | 0.0453402 | + | 0.431383i | ||||
\(393\) | −1.28909 | − | 0.977229i | −0.0650262 | − | 0.0492947i | ||||
\(394\) | −0.288129 | − | 0.128283i | −0.0145157 | − | 0.00646282i | ||||
\(395\) | −11.3306 | − | 30.0737i | −0.570103 | − | 1.51317i | ||||
\(396\) | −13.6658 | − | 16.4778i | −0.686731 | − | 0.828042i | ||||
\(397\) | −22.7814 | − | 16.5516i | −1.14336 | − | 0.830703i | −0.155780 | − | 0.987792i | \(-0.549789\pi\) |
−0.987584 | + | 0.157089i | \(0.949789\pi\) | |||||||
\(398\) | 9.60876 | − | 2.04241i | 0.481644 | − | 0.102377i | ||||
\(399\) | −17.0270 | + | 7.16980i | −0.852416 | + | 0.358939i | ||||
\(400\) | −2.38164 | − | 11.9310i | −0.119082 | − | 0.596551i | ||||
\(401\) | −4.58244 | + | 7.93701i | −0.228836 | + | 0.396356i | −0.957463 | − | 0.288555i | \(-0.906825\pi\) |
0.728627 | + | 0.684910i | \(0.240159\pi\) | |||||||
\(402\) | −11.1254 | − | 5.22688i | −0.554885 | − | 0.260693i | ||||
\(403\) | 1.29324 | − | 12.3044i | 0.0644210 | − | 0.612925i | ||||
\(404\) | 17.3214 | + | 12.5847i | 0.861772 | + | 0.626114i | ||||
\(405\) | −16.6870 | + | 11.2492i | −0.829182 | + | 0.558978i | ||||
\(406\) | −9.69618 | + | 7.04469i | −0.481213 | + | 0.349622i | ||||
\(407\) | −6.22164 | − | 10.7762i | −0.308395 | − | 0.534156i | ||||
\(408\) | −0.163217 | − | 0.296460i | −0.00808045 | − | 0.0146769i | ||||
\(409\) | −15.6809 | − | 3.33308i | −0.775371 | − | 0.164810i | −0.196802 | − | 0.980443i | \(-0.563056\pi\) |
−0.578570 | + | 0.815633i | \(0.696389\pi\) | |||||||
\(410\) | −6.07462 | + | 3.04784i | −0.300004 | + | 0.150522i | ||||
\(411\) | −0.905807 | − | 10.7081i | −0.0446802 | − | 0.528192i | ||||
\(412\) | −10.1198 | + | 11.2392i | −0.498566 | + | 0.553713i | ||||
\(413\) | 8.83668 | + | 27.1965i | 0.434825 | + | 1.33825i | ||||
\(414\) | 1.65403 | − | 2.61341i | 0.0812909 | − | 0.128442i | ||||
\(415\) | −13.8548 | + | 0.639911i | −0.680107 | + | 0.0314120i | ||||
\(416\) | −17.5800 | + | 19.5246i | −0.861931 | + | 0.957272i | ||||
\(417\) | −9.89419 | − | 0.201176i | −0.484521 | − | 0.00985164i | ||||
\(418\) | 3.41412 | − | 5.91343i | 0.166990 | − | 0.289235i | ||||
\(419\) | 3.08754 | + | 29.3760i | 0.150836 | + | 1.43511i | 0.764032 | + | 0.645179i | \(0.223217\pi\) |
−0.613196 | + | 0.789931i | \(0.710116\pi\) | |||||||
\(420\) | 17.9201 | − | 13.7405i | 0.874412 | − | 0.670465i | ||||
\(421\) | −2.80431 | + | 26.6813i | −0.136674 | + | 1.30037i | 0.684216 | + | 0.729279i | \(0.260145\pi\) |
−0.820890 | + | 0.571086i | \(0.806522\pi\) | |||||||
\(422\) | 7.02433 | + | 5.10348i | 0.341939 | + | 0.248433i | ||||
\(423\) | 27.9137 | + | 1.13559i | 1.35721 | + | 0.0552145i | ||||
\(424\) | 4.45245 | 0.216230 | ||||||||
\(425\) | 0.00622076 | − | 0.501172i | 0.000301751 | − | 0.0243104i | ||||
\(426\) | −6.96810 | + | 2.93416i | −0.337606 | + | 0.142160i | ||||
\(427\) | 7.85019 | + | 8.71852i | 0.379897 | + | 0.421919i | ||||
\(428\) | −4.88726 | + | 2.17595i | −0.236234 | + | 0.105178i | ||||
\(429\) | −24.8833 | + | 26.5306i | −1.20137 | + | 1.28091i | ||||
\(430\) | −12.2417 | − | 4.78653i | −0.590348 | − | 0.230827i | ||||
\(431\) | 7.77127 | − | 5.64616i | 0.374329 | − | 0.271966i | −0.384675 | − | 0.923052i | \(-0.625686\pi\) |
0.759004 | + | 0.651086i | \(0.225686\pi\) | |||||||
\(432\) | −12.5046 | + | 1.87007i | −0.601629 | + | 0.0899736i | ||||
\(433\) | 10.7896 | − | 7.83912i | 0.518516 | − | 0.376724i | −0.297529 | − | 0.954713i | \(-0.596162\pi\) |
0.816045 | + | 0.577989i | \(0.196162\pi\) | |||||||
\(434\) | 2.87839 | − | 3.19677i | 0.138167 | − | 0.153450i | ||||
\(435\) | 24.2727 | + | 10.0642i | 1.16379 | + | 0.482541i | ||||
\(436\) | 3.22632 | + | 3.58319i | 0.154513 | + | 0.171604i | ||||
\(437\) | −6.08897 | − | 1.29425i | −0.291275 | − | 0.0619124i | ||||
\(438\) | 6.29455 | + | 7.28326i | 0.300765 | + | 0.348008i | ||||
\(439\) | 7.13546 | − | 1.51669i | 0.340557 | − | 0.0723876i | −0.0344588 | − | 0.999406i | \(-0.510971\pi\) |
0.375015 | + | 0.927019i | \(0.377637\pi\) | |||||||
\(440\) | −4.77045 | + | 17.3716i | −0.227422 | + | 0.828160i | ||||
\(441\) | 11.8468 | + | 5.86268i | 0.564133 | + | 0.279175i | ||||
\(442\) | −0.215522 | + | 0.156586i | −0.0102514 | + | 0.00744804i | ||||
\(443\) | −5.86605 | − | 10.1603i | −0.278704 | − | 0.482730i | 0.692359 | − | 0.721554i | \(-0.256572\pi\) |
−0.971063 | + | 0.238823i | \(0.923238\pi\) | |||||||
\(444\) | −9.00015 | − | 0.182998i | −0.427128 | − | 0.00868469i | ||||
\(445\) | 2.33537 | + | 15.3613i | 0.110707 | + | 0.728197i | ||||
\(446\) | 1.40000 | − | 0.623320i | 0.0662919 | − | 0.0295151i | ||||
\(447\) | 10.5886 | + | 34.9935i | 0.500824 | + | 1.65513i | ||||
\(448\) | 7.14135 | − | 1.51794i | 0.337397 | − | 0.0717160i | ||||
\(449\) | −11.6170 | −0.548239 | −0.274120 | − | 0.961696i | \(-0.588386\pi\) | ||||
−0.274120 | + | 0.961696i | \(0.588386\pi\) | |||||||
\(450\) | 7.32283 | + | 2.81695i | 0.345202 | + | 0.132792i | ||||
\(451\) | −24.0178 | −1.13096 | ||||||||
\(452\) | −14.0794 | + | 2.99267i | −0.662240 | + | 0.140763i | ||||
\(453\) | 29.8339 | + | 6.97815i | 1.40172 | + | 0.327862i | ||||
\(454\) | −10.5672 | + | 4.70480i | −0.495941 | + | 0.220807i | ||||
\(455\) | −26.9622 | − | 27.2989i | −1.26401 | − | 1.27979i | ||||
\(456\) | −5.14246 | − | 9.34051i | −0.240818 | − | 0.437410i | ||||
\(457\) | 5.87515 | + | 10.1761i | 0.274828 | + | 0.476016i | 0.970092 | − | 0.242739i | \(-0.0780457\pi\) |
−0.695264 | + | 0.718755i | \(0.744712\pi\) | |||||||
\(458\) | 7.66658 | − | 5.57009i | 0.358236 | − | 0.260273i | ||||
\(459\) | −0.519905 | − | 0.0317483i | −0.0242671 | − | 0.00148188i | ||||
\(460\) | 7.60060 | − | 0.351047i | 0.354380 | − | 0.0163677i | ||||
\(461\) | 24.6800 | − | 5.24590i | 1.14946 | − | 0.244326i | 0.406495 | − | 0.913653i | \(-0.366751\pi\) |
0.742968 | + | 0.669327i | \(0.233418\pi\) | |||||||
\(462\) | −12.4213 | + | 2.37740i | −0.577893 | + | 0.110607i | ||||
\(463\) | −20.1283 | − | 4.27840i | −0.935442 | − | 0.198834i | −0.285119 | − | 0.958492i | \(-0.592033\pi\) |
−0.650323 | + | 0.759658i | \(0.725366\pi\) | |||||||
\(464\) | 11.0465 | + | 12.2684i | 0.512820 | + | 0.569544i | ||||
\(465\) | −9.27256 | − | 1.72198i | −0.430005 | − | 0.0798549i | ||||
\(466\) | −2.99444 | + | 3.32566i | −0.138715 | + | 0.154058i | ||||
\(467\) | 9.19766 | − | 6.68249i | 0.425617 | − | 0.309229i | −0.354277 | − | 0.935141i | \(-0.615273\pi\) |
0.779894 | + | 0.625912i | \(0.215273\pi\) | |||||||
\(468\) | 7.10758 | + | 25.3363i | 0.328548 | + | 1.17117i | ||||
\(469\) | 37.0710 | − | 26.9337i | 1.71178 | − | 1.24368i | ||||
\(470\) | −5.87524 | − | 9.17117i | −0.271004 | − | 0.423035i | ||||
\(471\) | −0.490623 | − | 1.62142i | −0.0226067 | − | 0.0747112i | ||||
\(472\) | −15.0770 | + | 6.71271i | −0.693974 | + | 0.308977i | ||||
\(473\) | −31.0817 | − | 34.5197i | −1.42914 | − | 1.58722i | ||||
\(474\) | 10.3764 | + | 7.86604i | 0.476602 | + | 0.361299i | ||||
\(475\) | 0.195997 | − | 15.7904i | 0.00899295 | − | 0.724512i | ||||
\(476\) | 0.584467 | 0.0267890 | ||||||||
\(477\) | 3.66487 | − | 5.79062i | 0.167803 | − | 0.265134i | ||||
\(478\) | 9.00885 | + | 6.54531i | 0.412055 | + | 0.299375i | ||||
\(479\) | 4.40749 | − | 41.9345i | 0.201383 | − | 1.91604i | −0.166284 | − | 0.986078i | \(-0.553177\pi\) |
0.367668 | − | 0.929957i | \(-0.380156\pi\) | |||||||
\(480\) | 13.7808 | + | 14.5323i | 0.629004 | + | 0.663305i | ||||
\(481\) | 1.59882 | + | 15.2118i | 0.0729001 | + | 0.693598i | ||||
\(482\) | −0.745621 | + | 1.29145i | −0.0339621 | + | 0.0588241i | ||||
\(483\) | 5.56059 | + | 10.1000i | 0.253016 | + | 0.459565i | ||||
\(484\) | −7.02848 | + | 7.80591i | −0.319476 | + | 0.354814i | ||||
\(485\) | −1.37637 | − | 3.65318i | −0.0624979 | − | 0.165882i | ||||
\(486\) | 3.29355 | − | 7.45898i | 0.149398 | − | 0.338346i | ||||
\(487\) | 5.00668 | + | 15.4090i | 0.226874 | + | 0.698248i | 0.998096 | + | 0.0616809i | \(0.0196461\pi\) |
−0.771221 | + | 0.636567i | \(0.780354\pi\) | |||||||
\(488\) | −4.53062 | + | 5.03176i | −0.205091 | + | 0.227777i | ||||
\(489\) | 19.5822 | + | 9.19999i | 0.885536 | + | 0.416038i | ||||
\(490\) | −0.774554 | − | 5.09478i | −0.0349908 | − | 0.230159i | ||||
\(491\) | −3.78682 | − | 0.804914i | −0.170897 | − | 0.0363253i | 0.121668 | − | 0.992571i | \(-0.461176\pi\) |
−0.292565 | + | 0.956246i | \(0.594509\pi\) | |||||||
\(492\) | −8.99189 | + | 14.8680i | −0.405385 | + | 0.670300i | ||||
\(493\) | 0.340049 | + | 0.588982i | 0.0153150 | + | 0.0265264i | ||||
\(494\) | −6.79044 | + | 4.93354i | −0.305516 | + | 0.221971i | ||||
\(495\) | 18.6660 | + | 20.5030i | 0.838973 | + | 0.921541i | ||||
\(496\) | −4.79365 | − | 3.48279i | −0.215241 | − | 0.156382i | ||||
\(497\) | 2.94609 | − | 28.0302i | 0.132150 | − | 1.25733i | ||||
\(498\) | 4.61245 | − | 3.20993i | 0.206689 | − | 0.143841i | ||||
\(499\) | −5.14142 | + | 8.90521i | −0.230162 | + | 0.398652i | −0.957856 | − | 0.287250i | \(-0.907259\pi\) |
0.727694 | + | 0.685902i | \(0.240592\pi\) | |||||||
\(500\) | 4.64771 | + | 18.7339i | 0.207852 | + | 0.837804i | ||||
\(501\) | −27.1498 | − | 20.5815i | −1.21296 | − | 0.919516i | ||||
\(502\) | −0.792054 | + | 0.168356i | −0.0353511 | + | 0.00751411i | ||||
\(503\) | 16.4188 | + | 11.9290i | 0.732078 | + | 0.531886i | 0.890220 | − | 0.455531i | \(-0.150550\pi\) |
−0.158142 | + | 0.987416i | \(0.550550\pi\) | |||||||
\(504\) | −6.86102 | + | 18.5183i | −0.305614 | + | 0.824871i | ||||
\(505\) | −23.1631 | − | 15.2475i | −1.03075 | − | 0.678505i | ||||
\(506\) | −3.89284 | − | 1.73320i | −0.173058 | − | 0.0770503i | ||||
\(507\) | 20.4553 | − | 8.61341i | 0.908452 | − | 0.382535i | ||||
\(508\) | 1.57559 | + | 14.9907i | 0.0699055 | + | 0.665106i | ||||
\(509\) | −36.2239 | − | 7.69962i | −1.60559 | − | 0.341280i | −0.684014 | − | 0.729468i | \(-0.739767\pi\) |
−0.921580 | + | 0.388189i | \(0.873101\pi\) | |||||||
\(510\) | 0.106043 | + | 0.173185i | 0.00469568 | + | 0.00766878i | ||||
\(511\) | −35.1010 | + | 7.46095i | −1.55278 | + | 0.330053i | ||||
\(512\) | 6.81947 | + | 20.9882i | 0.301381 | + | 0.927555i | ||||
\(513\) | −16.3806 | − | 1.00029i | −0.723221 | − | 0.0441639i | ||||
\(514\) | 1.61824 | − | 4.98044i | 0.0713776 | − | 0.219678i | ||||
\(515\) | 12.4217 | − | 15.1464i | 0.547366 | − | 0.667429i | ||||
\(516\) | −33.0055 | + | 6.31714i | −1.45298 | + | 0.278096i | ||||
\(517\) | −4.02335 | − | 38.2796i | −0.176947 | − | 1.68354i | ||||
\(518\) | −2.65906 | + | 4.60563i | −0.116833 | + | 0.202360i | ||||
\(519\) | −3.40198 | + | 5.62513i | −0.149330 | + | 0.246916i | ||||
\(520\) | 14.0423 | − | 17.1224i | 0.615795 | − | 0.750868i | ||||
\(521\) | −11.4682 | − | 8.33217i | −0.502433 | − | 0.365039i | 0.307513 | − | 0.951544i | \(-0.400503\pi\) |
−0.809946 | + | 0.586505i | \(0.800503\pi\) | |||||||
\(522\) | −10.4950 | + | 1.78835i | −0.459353 | + | 0.0782741i | ||||
\(523\) | −3.47821 | + | 10.7048i | −0.152092 | + | 0.468090i | −0.997855 | − | 0.0654688i | \(-0.979146\pi\) |
0.845763 | + | 0.533559i | \(0.179146\pi\) | |||||||
\(524\) | 0.806181 | + | 1.39635i | 0.0352182 | + | 0.0609996i | ||||
\(525\) | −22.3646 | + | 18.8488i | −0.976071 | + | 0.822628i | ||||
\(526\) | −3.78025 | + | 6.54759i | −0.164827 | + | 0.285488i | ||||
\(527\) | −0.163335 | − | 0.181401i | −0.00711496 | − | 0.00790197i | ||||
\(528\) | 5.04520 | + | 16.6735i | 0.219564 | + | 0.725621i | ||||
\(529\) | 1.99808 | − | 19.0105i | 0.0868732 | − | 0.826544i | ||||
\(530\) | −2.66890 | + | 0.123268i | −0.115929 | + | 0.00535441i | ||||
\(531\) | −3.67988 | + | 25.1336i | −0.159693 | + | 1.09071i | ||||
\(532\) | 18.4147 | 0.798381 | ||||||||
\(533\) | 26.9709 | + | 12.0082i | 1.16824 | + | 0.520134i | ||||
\(534\) | −4.11645 | − | 4.76303i | −0.178136 | − | 0.206117i | ||||
\(535\) | 6.19328 | − | 3.10737i | 0.267759 | − | 0.134344i | ||||
\(536\) | 17.6956 | + | 19.6530i | 0.764334 | + | 0.848879i | ||||
\(537\) | 7.74593 | − | 1.48254i | 0.334261 | − | 0.0639765i | ||||
\(538\) | 10.5426 | − | 11.7088i | 0.454524 | − | 0.504800i | ||||
\(539\) | 5.62766 | − | 17.3202i | 0.242400 | − | 0.746032i | ||||
\(540\) | 19.6804 | − | 3.87896i | 0.846909 | − | 0.166924i | ||||
\(541\) | −4.62861 | − | 14.2454i | −0.199000 | − | 0.612458i | −0.999907 | − | 0.0136691i | \(-0.995649\pi\) |
0.800907 | − | 0.598789i | \(-0.204351\pi\) | |||||||
\(542\) | 4.49065 | + | 1.99937i | 0.192890 | + | 0.0858801i | ||||
\(543\) | 4.14111 | − | 32.9429i | 0.177712 | − | 1.41372i | ||||
\(544\) | 0.0541832 | + | 0.515518i | 0.00232308 | + | 0.0221027i | ||||
\(545\) | −4.38846 | − | 4.44327i | −0.187981 | − | 0.190329i | ||||
\(546\) | 15.1372 | + | 3.54059i | 0.647812 | + | 0.151523i | ||||
\(547\) | −1.39143 | + | 13.2386i | −0.0594932 | + | 0.566040i | 0.923654 | + | 0.383226i | \(0.125187\pi\) |
−0.983148 | + | 0.182813i | \(0.941480\pi\) | |||||||
\(548\) | −3.30998 | + | 10.1871i | −0.141395 | + | 0.435170i | ||||
\(549\) | 2.81483 | + | 10.0340i | 0.120134 | + | 0.428240i | ||||
\(550\) | 2.37857 | − | 10.5450i | 0.101423 | − | 0.449640i | ||||
\(551\) | 10.7139 | + | 18.5570i | 0.456427 | + | 0.790555i | ||||
\(552\) | −5.46167 | + | 3.80093i | −0.232464 | + | 0.161778i | ||||
\(553\) | −44.3427 | + | 19.7427i | −1.88564 | + | 0.839543i | ||||
\(554\) | 4.89413 | − | 2.17901i | 0.207932 | − | 0.0925772i | ||||
\(555\) | 11.6557 | − | 0.301064i | 0.494756 | − | 0.0127794i | ||||
\(556\) | 9.01119 | + | 4.01204i | 0.382160 | + | 0.170148i | ||||
\(557\) | −11.7342 | −0.497192 | −0.248596 | − | 0.968607i | \(-0.579969\pi\) | ||||
−0.248596 | + | 0.968607i | \(0.579969\pi\) | |||||||
\(558\) | 3.55107 | − | 1.41102i | 0.150329 | − | 0.0597331i | ||||
\(559\) | 17.6444 | + | 54.3039i | 0.746279 | + | 2.29681i | ||||
\(560\) | −17.7788 | + | 4.64574i | −0.751289 | + | 0.196318i | ||||
\(561\) | 0.0604900 | + | 0.715091i | 0.00255389 | + | 0.0301912i | ||||
\(562\) | −0.774049 | − | 0.164529i | −0.0326513 | − | 0.00694025i | ||||
\(563\) | 1.67720 | + | 0.356499i | 0.0706854 | + | 0.0150247i | 0.243119 | − | 0.969997i | \(-0.421830\pi\) |
−0.172433 | + | 0.985021i | \(0.555163\pi\) | |||||||
\(564\) | −25.2028 | − | 11.8407i | −1.06123 | − | 0.498582i | ||||
\(565\) | 18.0376 | − | 4.71339i | 0.758849 | − | 0.198294i | ||||
\(566\) | −3.85280 | − | 11.8577i | −0.161945 | − | 0.498416i | ||||
\(567\) | 18.4365 | + | 24.1657i | 0.774261 | + | 1.01487i | ||||
\(568\) | 16.2663 | 0.682520 | ||||||||
\(569\) | 15.7340 | + | 7.00522i | 0.659603 | + | 0.293674i | 0.709108 | − | 0.705100i | \(-0.249098\pi\) |
−0.0495050 | + | 0.998774i | \(0.515764\pi\) | |||||||
\(570\) | 3.34110 | + | 5.45653i | 0.139943 | + | 0.228549i | ||||
\(571\) | −0.892675 | + | 0.397445i | −0.0373573 | + | 0.0166325i | −0.425330 | − | 0.905038i | \(-0.639842\pi\) |
0.387973 | + | 0.921671i | \(0.373175\pi\) | |||||||
\(572\) | 33.1207 | − | 14.7463i | 1.38485 | − | 0.616574i | ||||
\(573\) | 2.56709 | + | 30.3472i | 0.107242 | + | 1.26777i | ||||
\(574\) | 5.13249 | + | 8.88973i | 0.214226 | + | 0.371050i | ||||
\(575\) | −9.81297 | + | 0.908397i | −0.409229 | + | 0.0378828i | ||||
\(576\) | 6.28353 | + | 1.60511i | 0.261814 | + | 0.0668797i | ||||
\(577\) | −1.42881 | + | 4.39743i | −0.0594822 | + | 0.183067i | −0.976383 | − | 0.216049i | \(-0.930683\pi\) |
0.916900 | + | 0.399116i | \(0.130683\pi\) | |||||||
\(578\) | 0.928927 | − | 8.83815i | 0.0386383 | − | 0.367618i | ||||
\(579\) | 9.91987 | + | 32.7834i | 0.412256 | + | 1.36243i | ||||
\(580\) | −18.4044 | − | 18.6343i | −0.764201 | − | 0.773745i | ||||
\(581\) | 2.18968 | + | 20.8334i | 0.0908433 | + | 0.864316i | ||||
\(582\) | 1.26046 | + | 0.955522i | 0.0522477 | + | 0.0396076i | ||||
\(583\) | −8.62547 | − | 3.84031i | −0.357231 | − | 0.159049i | ||||
\(584\) | −6.39992 | − | 19.6969i | −0.264831 | − | 0.815065i | ||||
\(585\) | −10.7101 | − | 32.3563i | −0.442808 | − | 1.33777i | ||||
\(586\) | 0.0724213 | − | 0.222890i | 0.00299170 | − | 0.00920749i | ||||
\(587\) | −26.1074 | + | 28.9952i | −1.07757 | + | 1.19676i | −0.0980972 | + | 0.995177i | \(0.531276\pi\) |
−0.979471 | + | 0.201584i | \(0.935391\pi\) | |||||||
\(588\) | −8.61493 | − | 9.96812i | −0.355274 | − | 0.411078i | ||||
\(589\) | −5.14616 | − | 5.71539i | −0.212044 | − | 0.235499i | ||||
\(590\) | 8.85163 | − | 4.44115i | 0.364416 | − | 0.182839i | ||||
\(591\) | 1.02577 | − | 0.196329i | 0.0421946 | − | 0.00807590i | ||||
\(592\) | 6.69204 | + | 2.97949i | 0.275041 | + | 0.122456i | ||||
\(593\) | −0.233927 | −0.00960624 | −0.00480312 | − | 0.999988i | \(-0.501529\pi\) | ||||
−0.00480312 | + | 0.999988i | \(0.501529\pi\) | |||||||
\(594\) | −10.8257 | − | 3.00111i | −0.444185 | − | 0.123137i | ||||
\(595\) | −0.756206 | + | 0.0349267i | −0.0310014 | + | 0.00143186i | ||||
\(596\) | 3.80914 | − | 36.2416i | 0.156028 | − | 1.48451i | ||||
\(597\) | −22.2530 | + | 23.7262i | −0.910754 | + | 0.971049i | ||||
\(598\) | 3.50492 | + | 3.89261i | 0.143327 | + | 0.159181i | ||||
\(599\) | 17.3587 | − | 30.0662i | 0.709258 | − | 1.22847i | −0.255875 | − | 0.966710i | \(-0.582363\pi\) |
0.965133 | − | 0.261761i | \(-0.0843032\pi\) | |||||||
\(600\) | −12.1679 | − | 11.6996i | −0.496752 | − | 0.477634i | ||||
\(601\) | −15.4400 | − | 26.7429i | −0.629811 | − | 1.09086i | −0.987589 | − | 0.157058i | \(-0.949799\pi\) |
0.357779 | − | 0.933806i | \(-0.383534\pi\) | |||||||
\(602\) | −6.13479 | + | 18.8809i | −0.250035 | + | 0.769530i | ||||
\(603\) | 40.1251 | − | 6.83734i | 1.63402 | − | 0.278438i | ||||
\(604\) | −24.7068 | − | 17.9505i | −1.00530 | − | 0.730396i | ||||
\(605\) | 8.62724 | − | 10.5196i | 0.350747 | − | 0.427682i | ||||
\(606\) | 11.2333 | + | 0.228404i | 0.456323 | + | 0.00927829i | ||||
\(607\) | −3.80766 | + | 6.59506i | −0.154548 | + | 0.267685i | −0.932894 | − | 0.360150i | \(-0.882725\pi\) |
0.778346 | + | 0.627835i | \(0.216059\pi\) | |||||||
\(608\) | 1.70714 | + | 16.2424i | 0.0692338 | + | 0.658715i | ||||
\(609\) | 13.0287 | − | 37.4875i | 0.527951 | − | 1.51907i | ||||
\(610\) | 2.57644 | − | 3.14158i | 0.104317 | − | 0.127199i | ||||
\(611\) | −14.6207 | + | 44.9978i | −0.591489 | + | 1.82041i | ||||
\(612\) | 0.465315 | + | 0.230273i | 0.0188092 | + | 0.00930822i | ||||
\(613\) | −9.39803 | − | 28.9242i | −0.379583 | − | 1.16824i | −0.940334 | − | 0.340252i | \(-0.889488\pi\) |
0.560752 | − | 0.827984i | \(-0.310512\pi\) | |||||||
\(614\) | −3.06676 | + | 0.651860i | −0.123764 | + | 0.0263069i | ||||
\(615\) | 10.7456 | − | 19.7741i | 0.433303 | − | 0.797367i | ||||
\(616\) | 26.6143 | + | 5.65704i | 1.07232 | + | 0.227928i | ||||
\(617\) | −4.85610 | − | 46.2027i | −0.195499 | − | 1.86005i | −0.450064 | − | 0.892996i | \(-0.648599\pi\) |
0.254565 | − | 0.967056i | \(-0.418068\pi\) | |||||||
\(618\) | −0.989882 | + | 7.87460i | −0.0398189 | + | 0.316763i | ||||
\(619\) | 11.6372 | + | 5.18120i | 0.467737 | + | 0.208250i | 0.627051 | − | 0.778978i | \(-0.284262\pi\) |
−0.159314 | + | 0.987228i | \(0.550928\pi\) | |||||||
\(620\) | 7.85187 | + | 5.16862i | 0.315339 | + | 0.207577i | ||||
\(621\) | 0.447719 | + | 10.2317i | 0.0179663 | + | 0.410586i | ||||
\(622\) | 9.42090 | + | 6.84469i | 0.377744 | + | 0.274447i | ||||
\(623\) | 22.9550 | − | 4.87924i | 0.919673 | − | 0.195482i | ||||
\(624\) | 2.67074 | − | 21.2460i | 0.106915 | − | 0.850521i | ||||
\(625\) | −7.13289 | − | 23.9608i | −0.285316 | − | 0.958434i | ||||
\(626\) | −0.919333 | + | 1.59233i | −0.0367439 | + | 0.0636423i | ||||
\(627\) | 1.90585 | + | 22.5303i | 0.0761124 | + | 0.899772i | ||||
\(628\) | −0.176497 | + | 1.67925i | −0.00704298 | + | 0.0670095i | ||||
\(629\) | 0.244143 | + | 0.177381i | 0.00973463 | + | 0.00707263i | ||||
\(630\) | 3.59996 | − | 11.2902i | 0.143426 | − | 0.449813i | ||||
\(631\) | −31.3529 | + | 22.7792i | −1.24814 | + | 0.906827i | −0.998113 | − | 0.0614115i | \(-0.980440\pi\) |
−0.250028 | + | 0.968239i | \(0.580440\pi\) | |||||||
\(632\) | −14.0068 | − | 24.2605i | −0.557162 | − | 0.965032i | ||||
\(633\) | −28.7451 | − | 0.584466i | −1.14251 | − | 0.0232305i | ||||
\(634\) | −2.10960 | − | 0.448409i | −0.0837828 | − | 0.0178086i | ||||
\(635\) | −2.93438 | − | 19.3014i | −0.116447 | − | 0.765954i | ||||
\(636\) | −5.60653 | + | 3.90175i | −0.222313 | + | 0.154714i | ||||
\(637\) | −14.9792 | + | 16.6360i | −0.593496 | + | 0.659144i | ||||
\(638\) | 4.53269 | + | 13.9502i | 0.179451 | + | 0.552293i | ||||
\(639\) | 13.3890 | − | 21.1551i | 0.529662 | − | 0.836883i | ||||
\(640\) | −9.04479 | − | 24.0067i | −0.357527 | − | 0.948950i | ||||
\(641\) | 22.4290 | − | 24.9100i | 0.885894 | − | 0.983885i | −0.114060 | − | 0.993474i | \(-0.536386\pi\) |
0.999954 | + | 0.00958888i | \(0.00305228\pi\) | |||||||
\(642\) | −1.45285 | + | 2.40226i | −0.0573393 | + | 0.0948097i | ||||
\(643\) | −12.4860 | + | 21.6263i | −0.492399 | + | 0.852860i | −0.999962 | − | 0.00875512i | \(-0.997213\pi\) |
0.507563 | + | 0.861615i | \(0.330546\pi\) | |||||||
\(644\) | −1.20123 | − | 11.4290i | −0.0473352 | − | 0.450365i | ||||
\(645\) | 42.3262 | − | 10.1457i | 1.66659 | − | 0.399486i | ||||
\(646\) | −0.0173100 | + | 0.164693i | −0.000681051 | + | 0.00647977i | ||||
\(647\) | −17.8362 | − | 12.9588i | −0.701214 | − | 0.509462i | 0.179114 | − | 0.983828i | \(-0.442677\pi\) |
−0.880327 | + | 0.474367i | \(0.842677\pi\) | |||||||
\(648\) | −12.7583 | + | 12.0399i | −0.501192 | + | 0.472973i | ||||
\(649\) | 34.9976 | 1.37377 | ||||||||
\(650\) | −7.94321 | + | 10.6523i | −0.311558 | + | 0.417818i | ||||
\(651\) | −1.77662 | + | 14.1332i | −0.0696312 | + | 0.553923i | ||||
\(652\) | −14.4299 | − | 16.0260i | −0.565117 | − | 0.627627i | ||||
\(653\) | −5.01165 | + | 2.23133i | −0.196121 | + | 0.0873186i | −0.502447 | − | 0.864608i | \(-0.667567\pi\) |
0.306326 | + | 0.951927i | \(0.400900\pi\) | |||||||
\(654\) | 2.46378 | + | 0.576280i | 0.0963416 | + | 0.0225343i | ||||
\(655\) | −1.12651 | − | 1.75847i | −0.0440164 | − | 0.0687091i | ||||
\(656\) | 11.4389 | − | 8.31087i | 0.446615 | − | 0.324485i | ||||
\(657\) | −30.8846 | − | 7.88941i | −1.20492 | − | 0.307795i | ||||
\(658\) | −13.3087 | + | 9.66932i | −0.518826 | + | 0.376949i | ||||
\(659\) | 13.5361 | − | 15.0334i | 0.527292 | − | 0.585617i | −0.419382 | − | 0.907810i | \(-0.637753\pi\) |
0.946674 | + | 0.322193i | \(0.104420\pi\) | |||||||
\(660\) | −9.21605 | − | 26.0548i | −0.358734 | − | 1.01418i | ||||
\(661\) | 9.09626 | + | 10.1024i | 0.353803 | + | 0.392939i | 0.893605 | − | 0.448854i | \(-0.148168\pi\) |
−0.539802 | + | 0.841792i | \(0.681501\pi\) | |||||||
\(662\) | −8.03410 | − | 1.70770i | −0.312254 | − | 0.0663717i | ||||
\(663\) | 0.289597 | − | 0.833256i | 0.0112470 | − | 0.0323610i | ||||
\(664\) | −11.8257 | + | 2.51364i | −0.458928 | + | 0.0975481i | ||||
\(665\) | −23.8257 | + | 1.10043i | −0.923921 | + | 0.0426729i | ||||
\(666\) | −3.93153 | + | 2.61907i | −0.152344 | + | 0.101487i | ||||
\(667\) | 10.8184 | − | 7.86001i | 0.418889 | − | 0.304341i | ||||
\(668\) | 16.9791 | + | 29.4086i | 0.656940 | + | 1.13785i | ||||
\(669\) | −2.62613 | + | 4.34227i | −0.101532 | + | 0.167882i | ||||
\(670\) | −11.1512 | − | 11.2905i | −0.430810 | − | 0.436190i | ||||
\(671\) | 13.1169 | − | 5.84001i | 0.506371 | − | 0.225451i | ||||
\(672\) | 20.6931 | − | 22.0631i | 0.798255 | − | 0.851102i | ||||
\(673\) | −23.2455 | + | 4.94099i | −0.896049 | + | 0.190461i | −0.632845 | − | 0.774279i | \(-0.718113\pi\) |
−0.263205 | + | 0.964740i | \(0.584779\pi\) | |||||||
\(674\) | −13.5959 | −0.523693 | ||||||||
\(675\) | −25.2314 | + | 6.19481i | −0.971158 | + | 0.238439i | ||||
\(676\) | −22.1225 | −0.850865 | ||||||||
\(677\) | 34.3311 | − | 7.29729i | 1.31945 | − | 0.280458i | 0.506222 | − | 0.862403i | \(-0.331042\pi\) |
0.813228 | + | 0.581946i | \(0.197708\pi\) | |||||||
\(678\) | −5.16740 | + | 5.50950i | −0.198453 | + | 0.211591i | ||||
\(679\) | −5.38650 | + | 2.39822i | −0.206715 | + | 0.0920354i | ||||
\(680\) | −0.0656667 | − | 0.431935i | −0.00251820 | − | 0.0165640i | ||||
\(681\) | 19.8219 | − | 32.7753i | 0.759578 | − | 1.25595i | ||||
\(682\) | −2.63232 | − | 4.55932i | −0.100797 | − | 0.174585i | ||||
\(683\) | 35.4803 | − | 25.7779i | 1.35762 | − | 0.986365i | 0.359023 | − | 0.933329i | \(-0.383110\pi\) |
0.998593 | − | 0.0530363i | \(-0.0168899\pi\) | |||||||
\(684\) | 14.6606 | + | 7.25517i | 0.560563 | + | 0.277408i | ||||
\(685\) | 3.67382 | − | 13.3782i | 0.140369 | − | 0.511155i | ||||
\(686\) | 4.48220 | − | 0.952722i | 0.171131 | − | 0.0363751i | ||||
\(687\) | −10.3016 | + | 29.6406i | −0.393029 | + | 1.13086i | ||||
\(688\) | 26.7480 | + | 5.68547i | 1.01976 | + | 0.216756i | ||||
\(689\) | 7.76595 | + | 8.62497i | 0.295859 | + | 0.328585i | ||||
\(690\) | 3.16861 | − | 2.42957i | 0.120627 | − | 0.0924921i | ||||
\(691\) | −16.7862 | + | 18.6430i | −0.638579 | + | 0.709214i | −0.972373 | − | 0.233432i | \(-0.925004\pi\) |
0.333794 | + | 0.942646i | \(0.391671\pi\) | |||||||
\(692\) | 5.30102 | − | 3.85142i | 0.201515 | − | 0.146409i | ||||
\(693\) | 29.2638 | − | 29.9567i | 1.11164 | − | 1.13796i | ||||
\(694\) | 5.19545 | − | 3.77472i | 0.197217 | − | 0.143286i | ||||
\(695\) | −11.8988 | − | 4.65244i | −0.451346 | − | 0.176477i | ||||
\(696\) | 22.3028 | + | 5.21664i | 0.845387 | + | 0.197736i | ||||
\(697\) | 0.532129 | − | 0.236919i | 0.0201558 | − | 0.00897395i | ||||
\(698\) | 8.62800 | + | 9.58236i | 0.326575 | + | 0.362698i | ||||
\(699\) | 1.84825 | − | 14.7030i | 0.0699071 | − | 0.556118i | ||||
\(700\) | 27.8356 | − | 8.66389i | 1.05209 | − | 0.327464i | ||||
\(701\) | 4.91096 | 0.185485 | 0.0927423 | − | 0.995690i | \(-0.470437\pi\) | ||||
0.0927423 | + | 0.995690i | \(0.470437\pi\) | |||||||
\(702\) | 10.6563 | + | 8.78265i | 0.402196 | + | 0.331480i | ||||
\(703\) | 7.69220 | + | 5.58871i | 0.290117 | + | 0.210782i | ||||
\(704\) | 0.933989 | − | 8.88631i | 0.0352010 | − | 0.334915i | ||||
\(705\) | 33.3160 | + | 13.8138i | 1.25475 | + | 0.520258i | ||||
\(706\) | −1.39454 | − | 13.2681i | −0.0524841 | − | 0.499353i | ||||
\(707\) | −20.9421 | + | 36.2728i | −0.787608 | + | 1.36418i | ||||
\(708\) | 13.1025 | − | 21.6648i | 0.492423 | − | 0.814214i | ||||
\(709\) | −12.4749 | + | 13.8548i | −0.468505 | + | 0.520328i | −0.930370 | − | 0.366623i | \(-0.880514\pi\) |
0.461865 | + | 0.886950i | \(0.347181\pi\) | |||||||
\(710\) | −9.75039 | + | 0.450339i | −0.365926 | + | 0.0169009i | ||||
\(711\) | −43.0811 | − | 1.75264i | −1.61567 | − | 0.0657291i | ||||
\(712\) | 4.18536 | + | 12.8812i | 0.156853 | + | 0.482744i | ||||
\(713\) | −3.21152 | + | 3.56675i | −0.120272 | + | 0.133576i | ||||
\(714\) | 0.251750 | − | 0.175200i | 0.00942152 | − | 0.00655671i | ||||
\(715\) | −41.9716 | + | 21.0586i | −1.56965 | + | 0.787545i | ||||
\(716\) | −7.68904 | − | 1.63436i | −0.287353 | − | 0.0610787i | ||||
\(717\) | −36.8661 | − | 0.749590i | −1.37679 | − | 0.0279939i | ||||
\(718\) | −2.36788 | − | 4.10129i | −0.0883686 | − | 0.153059i | ||||
\(719\) | 12.2939 | − | 8.93208i | 0.458487 | − | 0.333110i | −0.334451 | − | 0.942413i | \(-0.608551\pi\) |
0.792937 | + | 0.609303i | \(0.208551\pi\) | |||||||
\(720\) | −15.9846 | − | 3.30596i | −0.595713 | − | 0.123206i | ||||
\(721\) | −23.9355 | − | 17.3902i | −0.891405 | − | 0.647643i | ||||
\(722\) | 0.493443 | − | 4.69480i | 0.0183641 | − | 0.174722i | ||||
\(723\) | −0.416225 | − | 4.92046i | −0.0154796 | − | 0.182994i | ||||
\(724\) | −16.5470 | + | 28.6602i | −0.614963 | + | 1.06515i | ||||
\(725\) | 24.9258 | + | 23.0099i | 0.925723 | + | 0.854566i | ||||
\(726\) | −0.687501 | + | 5.46913i | −0.0255156 | + | 0.202979i | ||||
\(727\) | 31.3004 | − | 6.65310i | 1.16087 | − | 0.246750i | 0.413084 | − | 0.910693i | \(-0.364452\pi\) |
0.747783 | + | 0.663943i | \(0.231118\pi\) | |||||||
\(728\) | −27.0582 | − | 19.6589i | −1.00284 | − | 0.728608i | ||||
\(729\) | 5.15697 | + | 26.5029i | 0.190999 | + | 0.981590i | ||||
\(730\) | 4.38157 | + | 11.6296i | 0.162169 | + | 0.430430i | ||||
\(731\) | 1.02914 | + | 0.458204i | 0.0380643 | + | 0.0169473i | ||||
\(732\) | 1.29555 | − | 10.3062i | 0.0478850 | − | 0.380930i | ||||
\(733\) | −2.13492 | − | 20.3124i | −0.0788549 | − | 0.750254i | −0.960488 | − | 0.278320i | \(-0.910223\pi\) |
0.881634 | − | 0.471935i | \(-0.156444\pi\) | |||||||
\(734\) | 12.0910 | + | 2.57002i | 0.446286 | + | 0.0948611i | ||||
\(735\) | 11.7420 | + | 12.3823i | 0.433110 | + | 0.456728i | ||||
\(736\) | 9.96935 | − | 2.11905i | 0.367475 | − | 0.0781092i | ||||
\(737\) | −17.3297 | − | 53.3353i | −0.638347 | − | 1.96463i | ||||
\(738\) | 0.583715 | + | 9.09955i | 0.0214868 | + | 0.334959i | ||||
\(739\) | −9.35272 | + | 28.7847i | −0.344045 | + | 1.05886i | 0.618048 | + | 0.786141i | \(0.287924\pi\) |
−0.962093 | + | 0.272722i | \(0.912076\pi\) | |||||||
\(740\) | −10.8236 | − | 4.23204i | −0.397883 | − | 0.155573i | ||||
\(741\) | 9.12429 | − | 26.2533i | 0.335189 | − | 0.964439i | ||||
\(742\) | 0.421804 | + | 4.01320i | 0.0154849 | + | 0.147329i | ||||
\(743\) | −2.81735 | + | 4.87980i | −0.103359 | + | 0.179022i | −0.913066 | − | 0.407811i | \(-0.866292\pi\) |
0.809708 | + | 0.586833i | \(0.199626\pi\) | |||||||
\(744\) | −8.21925 | − | 0.167120i | −0.301332 | − | 0.00612691i | ||||
\(745\) | −2.76268 | + | 47.1183i | −0.101217 | + | 1.72628i | ||||
\(746\) | 0.697250 | + | 0.506582i | 0.0255281 | + | 0.0185473i | ||||
\(747\) | −6.46482 | + | 17.4489i | −0.236535 | + | 0.638423i | ||||
\(748\) | 0.221041 | − | 0.680295i | 0.00808207 | − | 0.0248741i | ||||
\(749\) | −5.23275 | − | 9.06338i | −0.191200 | − | 0.331169i | ||||
\(750\) | 7.61760 | + | 6.67612i | 0.278156 | + | 0.243777i | ||||
\(751\) | 11.3957 | − | 19.7379i | 0.415835 | − | 0.720247i | −0.579681 | − | 0.814844i | \(-0.696823\pi\) |
0.995516 | + | 0.0945967i | \(0.0301561\pi\) | |||||||
\(752\) | 15.1621 | + | 16.8392i | 0.552904 | + | 0.614062i | ||||
\(753\) | 1.83432 | − | 1.95576i | 0.0668464 | − | 0.0712718i | ||||
\(754\) | 1.88469 | − | 17.9316i | 0.0686363 | − | 0.653031i | ||||
\(755\) | 33.0392 | + | 21.7486i | 1.20242 | + | 0.791513i | ||||
\(756\) | −7.58846 | − | 29.3307i | −0.275990 | − | 1.06675i | ||||
\(757\) | 41.0082 | 1.49047 | 0.745234 | − | 0.666803i | \(-0.232338\pi\) | ||||
0.745234 | + | 0.666803i | \(0.232338\pi\) | |||||||
\(758\) | −10.2347 | − | 4.55678i | −0.371741 | − | 0.165510i | ||||
\(759\) | 13.8589 | − | 2.65255i | 0.503047 | − | 0.0962815i | ||||
\(760\) | −2.06895 | − | 13.6089i | −0.0750488 | − | 0.493648i | ||||
\(761\) | −2.79394 | − | 3.10299i | −0.101280 | − | 0.112483i | 0.690373 | − | 0.723453i | \(-0.257446\pi\) |
−0.791654 | + | 0.610970i | \(0.790780\pi\) | |||||||
\(762\) | 5.17229 | + | 5.98472i | 0.187372 | + | 0.216804i | ||||
\(763\) | −6.31149 | + | 7.00962i | −0.228491 | + | 0.253765i | ||||
\(764\) | 9.38062 | − | 28.8706i | 0.339379 | − | 1.04450i | ||||
\(765\) | −0.615803 | − | 0.270129i | −0.0222644 | − | 0.00976653i | ||||
\(766\) | −1.83766 | − | 5.65574i | −0.0663974 | − | 0.204350i | ||||
\(767\) | −39.3006 | − | 17.4978i | −1.41906 | − | 0.631807i | ||||
\(768\) | 2.31541 | + | 1.75525i | 0.0835501 | + | 0.0633372i | ||||
\(769\) | 0.728689 | + | 6.93301i | 0.0262772 | + | 0.250011i | 0.999773 | + | 0.0213059i | \(0.00678240\pi\) |
−0.973496 | + | 0.228705i | \(0.926551\pi\) | |||||||
\(770\) | −16.1098 | − | 2.65412i | −0.580556 | − | 0.0956480i | ||||
\(771\) | 5.02221 | + | 16.5975i | 0.180870 | + | 0.597745i | ||||
\(772\) | 3.56857 | − | 33.9527i | 0.128436 | − | 1.22198i | ||||
\(773\) | −3.04988 | + | 9.38657i | −0.109697 | + | 0.337611i | −0.990804 | − | 0.135305i | \(-0.956799\pi\) |
0.881107 | + | 0.472916i | \(0.156799\pi\) | |||||||
\(774\) | −12.3230 | + | 12.6147i | −0.442940 | + | 0.453428i | ||||
\(775\) | −10.4679 | − | 6.21815i | −0.376019 | − | 0.223362i | ||||
\(776\) | −1.70147 | − | 2.94703i | −0.0610792 | − | 0.105792i | ||||
\(777\) | −1.48436 | − | 17.5475i | −0.0532511 | − | 0.629514i | ||||
\(778\) | −6.94454 | + | 3.09191i | −0.248974 | + | 0.110850i | ||||
\(779\) | 16.7657 | − | 7.46458i | 0.600694 | − | 0.267446i | ||||
\(780\) | −2.67744 | + | 33.8660i | −0.0958678 | + | 1.21260i | ||||
\(781\) | −31.5118 | − | 14.0300i | −1.12758 | − | 0.502031i | ||||
\(782\) | 0.103345 | 0.00369560 | ||||||||
\(783\) | 25.1422 | − | 24.7120i | 0.898510 | − | 0.883134i | ||||
\(784\) | 3.31300 | + | 10.1964i | 0.118322 | + | 0.364156i | ||||
\(785\) | 0.128009 | − | 2.18323i | 0.00456883 | − | 0.0779228i | ||||
\(786\) | 0.765819 | + | 0.359793i | 0.0273159 | + | 0.0128334i | ||||
\(787\) | 34.6614 | + | 7.36750i | 1.23554 | + | 0.262623i | 0.778969 | − | 0.627062i | \(-0.215743\pi\) |
0.456575 | + | 0.889685i | \(0.349076\pi\) | |||||||
\(788\) | −1.01824 | − | 0.216433i | −0.0362732 | − | 0.00771011i | ||||
\(789\) | −2.11024 | − | 24.9464i | −0.0751264 | − | 0.888116i | ||||
\(790\) | 9.06765 | + | 14.1545i | 0.322613 | + | 0.503595i | ||||
\(791\) | −8.70136 | − | 26.7800i | −0.309385 | − | 0.952189i | ||||
\(792\) | 18.9597 | + | 14.9894i | 0.673705 | + | 0.532626i | ||||
\(793\) | −17.6494 | −0.626750 | ||||||||
\(794\) | 13.4557 | + | 5.99088i | 0.477526 | + | 0.212608i | ||||
\(795\) | 7.02078 | − | 5.38327i | 0.249001 | − | 0.190925i | ||||
\(796\) | 29.6197 | − | 13.1876i | 1.04984 | − | 0.467420i | ||||
\(797\) | 32.3072 | − | 14.3841i | 1.14438 | − | 0.509510i | 0.255117 | − | 0.966910i | \(-0.417886\pi\) |
0.889261 | + | 0.457400i | \(0.151219\pi\) | |||||||
\(798\) | 7.93186 | − | 5.52001i | 0.280785 | − | 0.195406i | ||||
\(799\) | 0.466741 | + | 0.808419i | 0.0165121 | + | 0.0285998i | ||||
\(800\) | 10.2223 | + | 23.7487i | 0.361414 | + | 0.839642i | ||||
\(801\) | 20.1976 | + | 5.15944i | 0.713648 | + | 0.182300i | ||||
\(802\) | 1.48137 | − | 4.55919i | 0.0523090 | − | 0.160991i | ||||
\(803\) | −4.59072 | + | 43.6777i | −0.162003 | + | 1.54135i | ||||
\(804\) | −39.5045 | − | 9.24011i | −1.39322 | − | 0.325874i | ||||
\(805\) | 2.23718 | + | 14.7155i | 0.0788501 | + | 0.518652i | ||||
\(806\) | 0.676449 | + | 6.43598i | 0.0238269 | + | 0.226698i | ||||
\(807\) | −6.50719 | + | 51.7653i | −0.229064 | + | 1.82222i | ||||
\(808\) | −22.0830 | − | 9.83197i | −0.776876 | − | 0.345888i | ||||
\(809\) | −4.45186 | − | 13.7014i | −0.156519 | − | 0.481716i | 0.841793 | − | 0.539801i | \(-0.181500\pi\) |
−0.998312 | + | 0.0580852i | \(0.981500\pi\) | |||||||
\(810\) | 7.31425 | − | 7.57020i | 0.256997 | − | 0.265990i | ||||
\(811\) | 5.51450 | − | 16.9719i | 0.193640 | − | 0.595964i | −0.806349 | − | 0.591440i | \(-0.798560\pi\) |
0.999990 | − | 0.00452443i | \(-0.00144017\pi\) | |||||||
\(812\) | −26.4692 | + | 29.3971i | −0.928889 | + | 1.03164i | ||||
\(813\) | −15.9872 | + | 3.05990i | −0.560695 | + | 0.107315i | ||||
\(814\) | 4.35512 | + | 4.83685i | 0.152647 | + | 0.169532i | ||||
\(815\) | 19.6276 | + | 19.8727i | 0.687525 | + | 0.696112i | ||||
\(816\) | −0.276252 | − | 0.319644i | −0.00967074 | − | 0.0111898i | ||||
\(817\) | 32.4251 | + | 14.4366i | 1.13441 | + | 0.505072i | ||||
\(818\) | 8.38536 | 0.293187 | ||||||||
\(819\) | −47.8393 | + | 19.0089i | −1.67164 | + | 0.664225i | ||||
\(820\) | −17.5200 | + | 14.0083i | −0.611826 | + | 0.489191i | ||||
\(821\) | −2.78340 | + | 26.4823i | −0.0971414 | + | 0.924239i | 0.832065 | + | 0.554678i | \(0.187159\pi\) |
−0.929207 | + | 0.369561i | \(0.879508\pi\) | |||||||
\(822\) | 1.62796 | + | 5.38012i | 0.0567816 | + | 0.187653i | ||||
\(823\) | −1.84785 | − | 2.05225i | −0.0644122 | − | 0.0715369i | 0.710077 | − | 0.704124i | \(-0.248660\pi\) |
−0.774490 | + | 0.632587i | \(0.781993\pi\) | |||||||
\(824\) | 8.53753 | − | 14.7874i | 0.297419 | − | 0.515145i | ||||
\(825\) | 13.4811 | + | 33.1599i | 0.469350 | + | 1.15448i | ||||
\(826\) | −7.47879 | − | 12.9537i | −0.260221 | − | 0.450715i | ||||
\(827\) | −5.30684 | + | 16.3328i | −0.184537 | + | 0.567946i | −0.999940 | − | 0.0109475i | \(-0.996515\pi\) |
0.815403 | + | 0.578893i | \(0.196515\pi\) | |||||||
\(828\) | 3.54652 | − | 9.57228i | 0.123250 | − | 0.332660i | ||||
\(829\) | −7.77371 | − | 5.64793i | −0.269992 | − | 0.196161i | 0.444548 | − | 0.895755i | \(-0.353364\pi\) |
−0.714541 | + | 0.699594i | \(0.753364\pi\) | |||||||
\(830\) | 7.01901 | − | 1.83413i | 0.243633 | − | 0.0636635i | ||||
\(831\) | −9.18044 | + | 15.1797i | −0.318466 | + | 0.526579i | ||||
\(832\) | −5.49172 | + | 9.51193i | −0.190391 | + | 0.329767i | ||||
\(833\) | 0.0461671 | + | 0.439251i | 0.00159959 | + | 0.0152191i | ||||
\(834\) | 5.08408 | − | 0.973076i | 0.176047 | − | 0.0336949i | ||||
\(835\) | −23.7256 | − | 37.0353i | −0.821057 | − | 1.28166i | ||||
\(836\) | 6.96432 | − | 21.4340i | 0.240866 | − | 0.741310i | ||||
\(837\) | −6.98272 | + | 10.5519i | −0.241358 | + | 0.364729i | ||||
\(838\) | −4.77436 | − | 14.6940i | −0.164927 | − | 0.507594i | ||||
\(839\) | −41.7253 | + | 8.86899i | −1.44052 | + | 0.306192i | −0.860932 | − | 0.508720i | \(-0.830119\pi\) |
−0.579586 | + | 0.814911i | \(0.696786\pi\) | |||||||
\(840\) | −16.5647 | + | 19.3808i | −0.571536 | + | 0.668700i | ||||
\(841\) | −16.6580 | − | 3.54076i | −0.574413 | − | 0.122095i | ||||
\(842\) | −1.46684 | − | 13.9560i | −0.0505505 | − | 0.480956i | ||||
\(843\) | 2.41504 | − | 1.01693i | 0.0831784 | − | 0.0350251i | ||||
\(844\) | 26.1797 | + | 11.6560i | 0.901144 | + | 0.401215i | ||||
\(845\) | 28.6229 | − | 1.32200i | 0.984658 | − | 0.0454782i | ||||
\(846\) | −14.4051 | + | 2.45464i | −0.495257 | + | 0.0843922i | ||||
\(847\) | −16.6239 | − | 12.0780i | −0.571204 | − | 0.415004i | ||||
\(848\) | 5.43690 | − | 1.15565i | 0.186704 | − | 0.0396851i | ||||
\(849\) | 32.9007 | + | 24.9411i | 1.12915 | + | 0.855977i | ||||
\(850\) | 0.0513203 | + | 0.257093i | 0.00176027 | + | 0.00881823i | ||||
\(851\) | 2.96681 | − | 5.13867i | 0.101701 | − | 0.176151i | ||||
\(852\) | −20.4826 | + | 14.2544i | −0.701722 | + | 0.488348i | ||||
\(853\) | 2.19324 | − | 20.8673i | 0.0750951 | − | 0.714483i | −0.890597 | − | 0.454793i | \(-0.849713\pi\) |
0.965692 | − | 0.259689i | \(-0.0836202\pi\) | |||||||
\(854\) | −4.96457 | − | 3.60697i | −0.169884 | − | 0.123428i | ||||
\(855\) | −19.4020 | − | 8.51092i | −0.663535 | − | 0.291067i | ||||
\(856\) | 4.88646 | − | 3.55022i | 0.167016 | − | 0.121344i | ||||
\(857\) | −7.64159 | − | 13.2356i | −0.261032 | − | 0.452120i | 0.705485 | − | 0.708725i | \(-0.250729\pi\) |
−0.966516 | + | 0.256605i | \(0.917396\pi\) | |||||||
\(858\) | 9.84588 | − | 16.2800i | 0.336133 | − | 0.555791i | ||||
\(859\) | 42.5046 | + | 9.03462i | 1.45024 | + | 0.308257i | 0.864659 | − | 0.502359i | \(-0.167534\pi\) |
0.585578 | + | 0.810616i | \(0.300868\pi\) | |||||||
\(860\) | −42.8063 | − | 7.05243i | −1.45968 | − | 0.240486i | ||||
\(861\) | −30.7648 | − | 14.4538i | −1.04846 | − | 0.492583i | ||||
\(862\) | −3.36202 | + | 3.73390i | −0.114511 | + | 0.127177i | ||||
\(863\) | 2.99160 | + | 9.20721i | 0.101835 | + | 0.313417i | 0.988975 | − | 0.148085i | \(-0.0473108\pi\) |
−0.887139 | + | 0.461502i | \(0.847311\pi\) | |||||||
\(864\) | 25.1671 | − | 9.41236i | 0.856202 | − | 0.320215i | ||||
\(865\) | −6.62851 | + | 5.29989i | −0.225376 | + | 0.180202i | ||||
\(866\) | −4.66782 | + | 5.18414i | −0.158619 | + | 0.176164i | ||||
\(867\) | 14.1926 | + | 25.7788i | 0.482007 | + | 0.875493i | ||||
\(868\) | 7.09898 | − | 12.2958i | 0.240955 | − | 0.417347i | ||||
\(869\) | 6.20952 | + | 59.0796i | 0.210643 | + | 2.00414i | ||||
\(870\) | −13.5132 | − | 2.50950i | −0.458141 | − | 0.0850801i | ||||
\(871\) | −7.20566 | + | 68.5573i | −0.244154 | + | 2.32297i | ||||
\(872\) | −4.40409 | − | 3.19976i | −0.149141 | − | 0.108357i | ||||
\(873\) | −5.23325 | − | 0.212901i | −0.177119 | − | 0.00720559i | ||||
\(874\) | 3.25607 | 0.110138 | ||||||||
\(875\) | −35.4970 | + | 12.8731i | −1.20002 | + | 0.435189i | ||||
\(876\) | 25.3195 | + | 19.1941i | 0.855467 | + | 0.648507i | ||||
\(877\) | −9.39196 | − | 10.4308i | −0.317144 | − | 0.352224i | 0.563404 | − | 0.826182i | \(-0.309492\pi\) |
−0.880548 | + | 0.473958i | \(0.842825\pi\) | |||||||
\(878\) | −3.48580 | + | 1.55198i | −0.117640 | + | 0.0523767i | ||||
\(879\) | 0.224759 | + | 0.742790i | 0.00758094 | + | 0.0250537i | ||||
\(880\) | −1.31635 | + | 22.4507i | −0.0443741 | + | 0.756813i | ||||
\(881\) | −6.11208 | + | 4.44068i | −0.205921 | + | 0.149610i | −0.685966 | − | 0.727633i | \(-0.740620\pi\) |
0.480045 | + | 0.877244i | \(0.340620\pi\) | |||||||
\(882\) | −6.69880 | − | 1.71119i | −0.225560 | − | 0.0576189i | ||||
\(883\) | −7.80285 | + | 5.66910i | −0.262587 | + | 0.190781i | −0.711287 | − | 0.702902i | \(-0.751887\pi\) |
0.448700 | + | 0.893683i | \(0.351887\pi\) | |||||||
\(884\) | −0.588347 | + | 0.653425i | −0.0197882 | + | 0.0219771i | ||||
\(885\) | −15.6579 | + | 28.8138i | −0.526334 | + | 0.968564i | ||||
\(886\) | 4.10621 | + | 4.56041i | 0.137951 | + | 0.153210i | ||||
\(887\) | 32.2257 | + | 6.84979i | 1.08203 | + | 0.229994i | 0.714231 | − | 0.699910i | \(-0.246777\pi\) |
0.367804 | + | 0.929904i | \(0.380110\pi\) | |||||||
\(888\) | 9.98227 | − | 1.91057i | 0.334983 | − | 0.0641147i | ||||
\(889\) | −28.8428 | + | 6.13073i | −0.967357 | + | 0.205618i | ||||
\(890\) | −2.86542 | − | 7.60540i | −0.0960489 | − | 0.254934i | ||||
\(891\) | 35.1005 | − | 12.3200i | 1.17591 | − | 0.412736i | ||||
\(892\) | 4.09207 | − | 2.97307i | 0.137013 | − | 0.0995456i | ||||
\(893\) | 14.7056 | + | 25.4708i | 0.492103 | + | 0.852347i | ||||
\(894\) | −9.22306 | − | 16.7523i | −0.308465 | − | 0.560281i | ||||
\(895\) | 10.0460 | + | 1.65511i | 0.335802 | + | 0.0553241i | ||||
\(896\) | −35.3972 | + | 15.7598i | −1.18254 | + | 0.526500i | ||||
\(897\) | −16.8891 | − | 3.95037i | −0.563911 | − | 0.131899i | ||||
\(898\) | 5.94364 | − | 1.26336i | 0.198342 | − | 0.0421589i | ||||
\(899\) | 16.5210 | 0.551008 | ||||||||
\(900\) | 25.5743 | + | 4.06924i | 0.852478 | + | 0.135641i | ||||
\(901\) | 0.228984 | 0.00762857 | ||||||||
\(902\) | 12.2883 | − | 2.61197i | 0.409157 | − | 0.0869690i | ||||
\(903\) | −19.0393 | − | 62.9216i | −0.633588 | − | 2.09390i | ||||
\(904\) | 14.8461 | − | 6.60991i | 0.493774 | − | 0.219842i | ||||
\(905\) | 19.6964 | − | 38.0704i | 0.654731 | − | 1.26550i | ||||
\(906\) | −16.0229 | − | 0.325790i | −0.532325 | − | 0.0108236i | ||||
\(907\) | 13.7736 | + | 23.8565i | 0.457344 | + | 0.792144i | 0.998820 | − | 0.0485730i | \(-0.0154673\pi\) |
−0.541475 | + | 0.840717i | \(0.682134\pi\) | |||||||
\(908\) | −30.8868 | + | 22.4406i | −1.02502 | + | 0.744717i | ||||
\(909\) | −30.9637 | + | 20.6271i | −1.02700 | + | 0.684158i | ||||
\(910\) | 16.7635 | + | 11.0349i | 0.555706 | + | 0.365802i | ||||
\(911\) | −11.0714 | + | 2.35329i | −0.366810 | + | 0.0779679i | −0.387629 | − | 0.921815i | \(-0.626706\pi\) |
0.0208191 | + | 0.999783i | \(0.493373\pi\) | |||||||
\(912\) | −8.70383 | − | 10.0710i | −0.288213 | − | 0.333483i | ||||
\(913\) | 25.0774 | + | 5.33036i | 0.829939 | + | 0.176409i | ||||
\(914\) | −4.11258 | − | 4.56749i | −0.136032 | − | 0.151079i | ||||
\(915\) | −1.06035 | + | 13.4120i | −0.0350542 | + | 0.443388i | ||||
\(916\) | 20.9287 | − | 23.2437i | 0.691504 | − | 0.767993i | ||||
\(917\) | −2.55179 | + | 1.85398i | −0.0842675 | + | 0.0612239i | ||||
\(918\) | 0.269454 | − | 0.0402968i | 0.00889330 | − | 0.00132999i | ||||
\(919\) | 25.7130 | − | 18.6816i | 0.848195 | − | 0.616250i | −0.0764527 | − | 0.997073i | \(-0.524359\pi\) |
0.924648 | + | 0.380823i | \(0.124359\pi\) | |||||||
\(920\) | −8.31132 | + | 2.17182i | −0.274016 | + | 0.0716028i | ||||
\(921\) | 7.10232 | − | 7.57252i | 0.234030 | − | 0.249523i | ||||
\(922\) | −12.0566 | + | 5.36796i | −0.397064 | + | 0.176784i | ||||
\(923\) | 28.3717 | + | 31.5099i | 0.933865 | + | 1.03716i | ||||
\(924\) | −38.4700 | + | 16.1991i | −1.26557 | + | 0.532912i | ||||
\(925\) | 14.2569 | + | 4.82878i | 0.468763 | + | 0.158769i | ||||
\(926\) | 10.7636 | 0.353714 | ||||||||
\(927\) | −12.2044 | − | 23.2752i | −0.400845 | − | 0.764457i | ||||
\(928\) | −28.3830 | − | 20.6214i | −0.931717 | − | 0.676932i | ||||
\(929\) | −2.03561 | + | 19.3676i | −0.0667863 | + | 0.635429i | 0.909014 | + | 0.416766i | \(0.136836\pi\) |
−0.975800 | + | 0.218664i | \(0.929830\pi\) | |||||||
\(930\) | 4.93142 | − | 0.127378i | 0.161708 | − | 0.00417687i | ||||
\(931\) | 1.45458 | + | 13.8394i | 0.0476720 | + | 0.453568i | ||||
\(932\) | −7.38519 | + | 12.7915i | −0.241910 | + | 0.419000i | ||||
\(933\) | −38.5524 | − | 0.783875i | −1.26215 | − | 0.0256629i | ||||
\(934\) | −3.97910 | + | 4.41924i | −0.130200 | + | 0.144602i | ||||
\(935\) | −0.245338 | + | 0.893401i | −0.00802342 | + | 0.0292173i | ||||
\(936\) | −13.7966 | − | 26.3117i | −0.450956 | − | 0.860026i | ||||
\(937\) | −6.71741 | − | 20.6741i | −0.219448 | − | 0.675393i | −0.998808 | − | 0.0488155i | \(-0.984455\pi\) |
0.779359 | − | 0.626577i | \(-0.215545\pi\) | |||||||
\(938\) | −16.0377 | + | 17.8117i | −0.523650 | + | 0.581573i | ||||
\(939\) | −0.513196 | − | 6.06681i | −0.0167475 | − | 0.197983i | ||||
\(940\) | −25.2613 | − | 25.5768i | −0.823933 | − | 0.834224i | ||||
\(941\) | 41.2306 | + | 8.76383i | 1.34408 | + | 0.285693i | 0.823109 | − | 0.567883i | \(-0.192238\pi\) |
0.520969 | + | 0.853576i | \(0.325571\pi\) | |||||||
\(942\) | 0.427351 | + | 0.776219i | 0.0139238 | + | 0.0252906i | ||||
\(943\) | −5.72650 | − | 9.91858i | −0.186480 | − | 0.322994i | ||||
\(944\) | −16.6682 | + | 12.1102i | −0.542504 | + | 0.394153i | ||||
\(945\) | 11.5710 | + | 37.4957i | 0.376404 | + | 1.21973i | ||||
\(946\) | 19.6565 | + | 14.2813i | 0.639087 | + | 0.464324i | ||||
\(947\) | −0.396586 | + | 3.77326i | −0.0128873 | + | 0.122615i | −0.999074 | − | 0.0430224i | \(-0.986301\pi\) |
0.986187 | + | 0.165637i | \(0.0529680\pi\) | |||||||
\(948\) | 38.8973 | + | 18.2745i | 1.26332 | + | 0.593528i | ||||
\(949\) | 26.9927 | − | 46.7528i | 0.876222 | − | 1.51766i | ||||
\(950\) | 1.61694 | + | 8.10021i | 0.0524605 | + | 0.262805i | ||||
\(951\) | 6.58196 | − | 2.77156i | 0.213435 | − | 0.0898740i | ||||
\(952\) | −0.645456 | + | 0.137196i | −0.0209194 | + | 0.00444655i | ||||
\(953\) | −43.1844 | − | 31.3753i | −1.39888 | − | 1.01635i | −0.994824 | − | 0.101612i | \(-0.967600\pi\) |
−0.404056 | − | 0.914734i | \(-0.632400\pi\) | |||||||
\(954\) | −1.24534 | + | 3.36123i | −0.0403192 | + | 0.108824i | ||||
\(955\) | −10.4117 | + | 37.9144i | −0.336916 | + | 1.22688i | ||||
\(956\) | 33.5760 | + | 14.9490i | 1.08593 | + | 0.483486i | ||||
\(957\) | −38.7065 | − | 29.3424i | −1.25120 | − | 0.948505i | ||||
\(958\) | 2.30540 | + | 21.9344i | 0.0744841 | + | 0.708669i | ||||
\(959\) | −20.4961 | − | 4.35659i | −0.661855 | − | 0.140682i | ||||
\(960\) | 6.89830 | + | 4.74468i | 0.222642 | + | 0.153134i | ||||
\(961\) | 24.5225 | − | 5.21241i | 0.791047 | − | 0.168142i | ||||
\(962\) | −2.47231 | − | 7.60899i | −0.0797105 | − | 0.245324i | ||||
\(963\) | −0.595117 | − | 9.27731i | −0.0191774 | − | 0.298957i | ||||
\(964\) | −1.52096 | + | 4.68104i | −0.0489869 | + | 0.150766i | ||||
\(965\) | −2.58820 | + | 44.1426i | −0.0833172 | + | 1.42100i | ||||
\(966\) | −3.94337 | − | 4.56277i | −0.126876 | − | 0.146805i | ||||
\(967\) | 1.59455 | + | 15.1711i | 0.0512772 | + | 0.487870i | 0.989780 | + | 0.142599i | \(0.0455461\pi\) |
−0.938503 | + | 0.345270i | \(0.887787\pi\) | |||||||
\(968\) | 5.92956 | − | 10.2703i | 0.190583 | − | 0.330100i | ||||
\(969\) | −0.264470 | − | 0.480371i | −0.00849601 | − | 0.0154317i | ||||
\(970\) | 1.10149 | + | 1.71941i | 0.0353666 | + | 0.0552068i | ||||
\(971\) | 15.5289 | + | 11.2824i | 0.498345 | + | 0.362069i | 0.808384 | − | 0.588655i | \(-0.200342\pi\) |
−0.310040 | + | 0.950724i | \(0.600342\pi\) | |||||||
\(972\) | 5.51447 | − | 26.3409i | 0.176877 | − | 0.844886i | ||||
\(973\) | −5.96292 | + | 18.3520i | −0.191162 | + | 0.588338i | ||||
\(974\) | −4.23733 | − | 7.33927i | −0.135773 | − | 0.235166i | ||||
\(975\) | 1.44040 | − | 43.9772i | 0.0461298 | − | 1.40840i | ||||
\(976\) | −4.22633 | + | 7.32023i | −0.135282 | + | 0.234315i | ||||
\(977\) | −25.5421 | − | 28.3674i | −0.817165 | − | 0.907554i | 0.179933 | − | 0.983679i | \(-0.442412\pi\) |
−0.997098 | + | 0.0761249i | \(0.975745\pi\) | |||||||
\(978\) | −11.0194 | − | 2.57744i | −0.352362 | − | 0.0824175i | ||||
\(979\) | 3.00219 | − | 28.5639i | 0.0959504 | − | 0.912907i | ||||
\(980\) | −5.99676 | − | 15.9166i | −0.191560 | − | 0.508439i | ||||
\(981\) | −7.78649 | + | 3.09396i | −0.248604 | + | 0.0987825i | ||||
\(982\) | 2.02500 | 0.0646204 | ||||||||
\(983\) | −42.0157 | − | 18.7066i | −1.34009 | − | 0.596648i | −0.393574 | − | 0.919293i | \(-0.628761\pi\) |
−0.946520 | + | 0.322645i | \(0.895428\pi\) | |||||||
\(984\) | 6.44013 | − | 18.5302i | 0.205304 | − | 0.590720i | ||||
\(985\) | 1.33037 | + | 0.219181i | 0.0423890 | + | 0.00698370i | ||||
\(986\) | −0.238033 | − | 0.264363i | −0.00758052 | − | 0.00841902i | ||||
\(987\) | 17.8828 | − | 51.4542i | 0.569217 | − | 1.63781i | ||||
\(988\) | −18.5370 | + | 20.5874i | −0.589740 | + | 0.654972i | ||||
\(989\) | 6.84480 | − | 21.0661i | 0.217652 | − | 0.669864i | ||||
\(990\) | −11.7799 | − | 8.46008i | −0.374389 | − | 0.268879i | ||||
\(991\) | 12.7035 | + | 39.0974i | 0.403541 | + | 1.24197i | 0.922107 | + | 0.386934i | \(0.126466\pi\) |
−0.518567 | + | 0.855037i | \(0.673534\pi\) | |||||||
\(992\) | 11.5034 | + | 5.12164i | 0.365233 | + | 0.162612i | ||||
\(993\) | 25.0665 | − | 10.5551i | 0.795460 | − | 0.334956i | ||||
\(994\) | 1.54100 | + | 14.6616i | 0.0488774 | + | 0.465038i | ||||
\(995\) | −37.5351 | + | 18.8326i | −1.18994 | + | 0.597033i | ||||
\(996\) | 12.6882 | − | 13.5282i | 0.402042 | − | 0.428659i | ||||
\(997\) | −2.31258 | + | 22.0028i | −0.0732403 | + | 0.696835i | 0.894873 | + | 0.446321i | \(0.147266\pi\) |
−0.968113 | + | 0.250514i | \(0.919401\pi\) | |||||||
\(998\) | 1.66207 | − | 5.11534i | 0.0526120 | − | 0.161923i | ||||
\(999\) | 5.73175 | − | 14.5550i | 0.181345 | − | 0.460501i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 225.2.q.a.121.13 | yes | 224 | |
3.2 | odd | 2 | 675.2.r.a.496.16 | 224 | |||
9.2 | odd | 6 | 675.2.r.a.46.13 | 224 | |||
9.7 | even | 3 | inner | 225.2.q.a.196.16 | yes | 224 | |
25.6 | even | 5 | inner | 225.2.q.a.31.16 | ✓ | 224 | |
75.56 | odd | 10 | 675.2.r.a.631.13 | 224 | |||
225.56 | odd | 30 | 675.2.r.a.181.16 | 224 | |||
225.106 | even | 15 | inner | 225.2.q.a.106.13 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.31.16 | ✓ | 224 | 25.6 | even | 5 | inner | |
225.2.q.a.106.13 | yes | 224 | 225.106 | even | 15 | inner | |
225.2.q.a.121.13 | yes | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.196.16 | yes | 224 | 9.7 | even | 3 | inner | |
675.2.r.a.46.13 | 224 | 9.2 | odd | 6 | |||
675.2.r.a.181.16 | 224 | 225.56 | odd | 30 | |||
675.2.r.a.496.16 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.631.13 | 224 | 75.56 | odd | 10 |