Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [700,2,Mod(127,700)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(700, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("700.127");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 700 = 2^{2} \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 700.bj (of order \(20\), 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: | \(5.58952814149\) |
Analytic rank: | \(0\) |
Dimension: | \(720\) |
Relative dimension: | \(90\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 323.17 | ||
Character | \(\chi\) | \(=\) | 700.323 |
Dual form | 700.2.bj.a.687.17 |
$q$-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 \(\left(\mathbb{Z}/700\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(351\) | \(477\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{11}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.13428 | + | 0.844633i | −0.802058 | + | 0.597246i | ||||
\(3\) | −1.44006 | − | 2.82629i | −0.831422 | − | 1.63176i | −0.773810 | − | 0.633418i | \(-0.781651\pi\) |
−0.0576121 | − | 0.998339i | \(-0.518349\pi\) | |||||||
\(4\) | 0.573189 | − | 1.91610i | 0.286594 | − | 0.958052i | ||||
\(5\) | 1.37788 | − | 1.76109i | 0.616208 | − | 0.787584i | ||||
\(6\) | 4.02061 | + | 1.98948i | 1.64141 | + | 0.812201i | ||||
\(7\) | −0.707107 | − | 0.707107i | −0.267261 | − | 0.267261i | ||||
\(8\) | 0.968248 | + | 2.65754i | 0.342327 | + | 0.939581i | ||||
\(9\) | −4.15075 | + | 5.71302i | −1.38358 | + | 1.90434i | ||||
\(10\) | −0.0754309 | + | 3.16138i | −0.0238534 | + | 0.999715i | ||||
\(11\) | −2.81431 | − | 3.87356i | −0.848545 | − | 1.16792i | −0.984181 | − | 0.177164i | \(-0.943308\pi\) |
0.135636 | − | 0.990759i | \(-0.456692\pi\) | |||||||
\(12\) | −6.24089 | + | 1.13932i | −1.80159 | + | 0.328893i | ||||
\(13\) | −1.01495 | − | 6.40812i | −0.281495 | − | 1.77729i | −0.571835 | − | 0.820368i | \(-0.693768\pi\) |
0.290340 | − | 0.956924i | \(-0.406232\pi\) | |||||||
\(14\) | 1.39930 | + | 0.204812i | 0.373980 | + | 0.0547383i | ||||
\(15\) | −6.96159 | − | 1.35821i | −1.79747 | − | 0.350687i | ||||
\(16\) | −3.34291 | − | 2.19658i | −0.835727 | − | 0.549145i | ||||
\(17\) | 1.84432 | + | 0.939727i | 0.447313 | + | 0.227917i | 0.663112 | − | 0.748521i | \(-0.269236\pi\) |
−0.215799 | + | 0.976438i | \(0.569236\pi\) | |||||||
\(18\) | −0.117287 | − | 9.98604i | −0.0276448 | − | 2.35373i | ||||
\(19\) | 1.91643 | + | 5.89817i | 0.439660 | + | 1.35313i | 0.888235 | + | 0.459389i | \(0.151931\pi\) |
−0.448576 | + | 0.893745i | \(0.648069\pi\) | |||||||
\(20\) | −2.58465 | − | 3.64960i | −0.577944 | − | 0.816076i | ||||
\(21\) | −0.980207 | + | 3.01677i | −0.213899 | + | 0.658312i | ||||
\(22\) | 6.46395 | + | 2.01665i | 1.37812 | + | 0.429951i | ||||
\(23\) | 0.775307 | − | 4.89509i | 0.161663 | − | 1.02070i | −0.764788 | − | 0.644282i | \(-0.777156\pi\) |
0.926451 | − | 0.376416i | \(-0.122844\pi\) | |||||||
\(24\) | 6.11662 | − | 6.56357i | 1.24855 | − | 1.33978i | ||||
\(25\) | −1.20288 | − | 4.85315i | −0.240576 | − | 0.970630i | ||||
\(26\) | 6.56374 | + | 6.41135i | 1.28726 | + | 1.25737i | ||||
\(27\) | 12.7251 | + | 2.01546i | 2.44895 | + | 0.387875i | ||||
\(28\) | −1.76020 | + | 0.949585i | −0.332646 | + | 0.179455i | ||||
\(29\) | 1.53543 | + | 0.498892i | 0.285123 | + | 0.0926419i | 0.448087 | − | 0.893990i | \(-0.352106\pi\) |
−0.162964 | + | 0.986632i | \(0.552106\pi\) | |||||||
\(30\) | 9.04358 | − | 4.33940i | 1.65113 | − | 0.792262i | ||||
\(31\) | −3.93661 | + | 1.27908i | −0.707036 | + | 0.229730i | −0.640393 | − | 0.768047i | \(-0.721229\pi\) |
−0.0666425 | + | 0.997777i | \(0.521229\pi\) | |||||||
\(32\) | 5.64710 | − | 0.331995i | 0.998276 | − | 0.0586890i | ||||
\(33\) | −6.89501 | + | 13.5322i | −1.20027 | + | 2.35566i | ||||
\(34\) | −2.88570 | + | 0.491858i | −0.494894 | + | 0.0843529i | ||||
\(35\) | −2.21959 | + | 0.270969i | −0.375179 | + | 0.0458021i | ||||
\(36\) | 8.56758 | + | 11.2279i | 1.42793 | + | 1.87132i | ||||
\(37\) | −0.987853 | + | 0.156460i | −0.162402 | + | 0.0257219i | −0.237106 | − | 0.971484i | \(-0.576199\pi\) |
0.0747039 | + | 0.997206i | \(0.476199\pi\) | |||||||
\(38\) | −7.15557 | − | 5.07150i | −1.16079 | − | 0.822707i | ||||
\(39\) | −16.6496 | + | 12.0966i | −2.66607 | + | 1.93701i | ||||
\(40\) | 6.01429 | + | 1.95660i | 0.950943 | + | 0.309366i | ||||
\(41\) | 1.40272 | + | 1.01914i | 0.219069 | + | 0.159163i | 0.691907 | − | 0.721986i | \(-0.256771\pi\) |
−0.472839 | + | 0.881149i | \(0.656771\pi\) | |||||||
\(42\) | −1.43623 | − | 4.24978i | −0.221615 | − | 0.655755i | ||||
\(43\) | 1.72822 | − | 1.72822i | 0.263551 | − | 0.263551i | −0.562944 | − | 0.826495i | \(-0.690331\pi\) |
0.826495 | + | 0.562944i | \(0.190331\pi\) | |||||||
\(44\) | −9.03527 | + | 3.17222i | −1.36212 | + | 0.478231i | ||||
\(45\) | 4.34190 | + | 15.1817i | 0.647252 | + | 2.26316i | ||||
\(46\) | 3.25514 | + | 6.20726i | 0.479945 | + | 0.915211i | ||||
\(47\) | −4.01870 | + | 2.04763i | −0.586188 | + | 0.298678i | −0.721819 | − | 0.692082i | \(-0.756694\pi\) |
0.135631 | + | 0.990759i | \(0.456694\pi\) | |||||||
\(48\) | −1.39415 | + | 12.6112i | −0.201229 | + | 1.82027i | ||||
\(49\) | 1.00000i | 0.142857i | ||||||||
\(50\) | 5.46354 | + | 4.48885i | 0.772661 | + | 0.634819i | ||||
\(51\) | − | 6.56584i | − | 0.919401i | ||||||
\(52\) | −12.8604 | − | 1.72832i | −1.78341 | − | 0.239675i | ||||
\(53\) | 5.09119 | − | 2.59409i | 0.699329 | − | 0.356326i | −0.0679065 | − | 0.997692i | \(-0.521632\pi\) |
0.767235 | + | 0.641366i | \(0.221632\pi\) | |||||||
\(54\) | −16.1362 | + | 8.46195i | −2.19585 | + | 1.15152i | ||||
\(55\) | −10.6995 | − | 0.381064i | −1.44272 | − | 0.0513827i | ||||
\(56\) | 1.19451 | − | 2.56382i | 0.159623 | − | 0.342604i | ||||
\(57\) | 13.9101 | − | 13.9101i | 1.84244 | − | 1.84244i | ||||
\(58\) | −2.16299 | + | 0.730993i | −0.284015 | + | 0.0959841i | ||||
\(59\) | 10.8930 | + | 7.91425i | 1.41815 | + | 1.03035i | 0.992073 | + | 0.125661i | \(0.0401052\pi\) |
0.426078 | + | 0.904686i | \(0.359895\pi\) | |||||||
\(60\) | −6.59277 | + | 12.5606i | −0.851123 | + | 1.62157i | ||||
\(61\) | −4.26690 | + | 3.10008i | −0.546320 | + | 0.396925i | −0.826427 | − | 0.563044i | \(-0.809630\pi\) |
0.280107 | + | 0.959969i | \(0.409630\pi\) | |||||||
\(62\) | 3.38487 | − | 4.77583i | 0.429879 | − | 0.606531i | ||||
\(63\) | 6.97474 | − | 1.10469i | 0.878735 | − | 0.139178i | ||||
\(64\) | −6.12499 | + | 5.14631i | −0.765624 | + | 0.643289i | ||||
\(65\) | −12.6838 | − | 7.04222i | −1.57323 | − | 0.873480i | ||||
\(66\) | −3.60888 | − | 21.1731i | −0.444223 | − | 2.60623i | ||||
\(67\) | −2.64628 | + | 5.19361i | −0.323294 | + | 0.634500i | −0.994260 | − | 0.106988i | \(-0.965879\pi\) |
0.670966 | + | 0.741488i | \(0.265879\pi\) | |||||||
\(68\) | 2.85776 | − | 2.99526i | 0.346554 | − | 0.363229i | ||||
\(69\) | −14.9514 | + | 4.85801i | −1.79994 | + | 0.584836i | ||||
\(70\) | 2.28877 | − | 2.18209i | 0.273560 | − | 0.260810i | ||||
\(71\) | 1.52754 | + | 0.496328i | 0.181286 | + | 0.0589033i | 0.398253 | − | 0.917276i | \(-0.369617\pi\) |
−0.216967 | + | 0.976179i | \(0.569617\pi\) | |||||||
\(72\) | −19.2015 | − | 5.49915i | −2.26292 | − | 0.648081i | ||||
\(73\) | −2.38621 | − | 0.377939i | −0.279285 | − | 0.0442344i | 0.0152205 | − | 0.999884i | \(-0.495155\pi\) |
−0.294506 | + | 0.955650i | \(0.595155\pi\) | |||||||
\(74\) | 0.988351 | − | 1.01184i | 0.114893 | − | 0.117624i | ||||
\(75\) | −11.9842 | + | 10.3885i | −1.38381 | + | 1.19956i | ||||
\(76\) | 12.4000 | − | 0.291318i | 1.42238 | − | 0.0334165i | ||||
\(77\) | −0.749006 | + | 4.72904i | −0.0853571 | + | 0.538924i | ||||
\(78\) | 8.66810 | − | 27.7838i | 0.981469 | − | 3.14589i | ||||
\(79\) | −0.0968314 | + | 0.298017i | −0.0108944 | + | 0.0335295i | −0.956356 | − | 0.292204i | \(-0.905611\pi\) |
0.945462 | + | 0.325734i | \(0.105611\pi\) | |||||||
\(80\) | −8.47451 | + | 2.86054i | −0.947479 | + | 0.319818i | ||||
\(81\) | −6.08216 | − | 18.7190i | −0.675796 | − | 2.07989i | ||||
\(82\) | −2.45188 | + | 0.0287975i | −0.270765 | + | 0.00318016i | ||||
\(83\) | −2.91432 | − | 1.48492i | −0.319888 | − | 0.162991i | 0.286672 | − | 0.958029i | \(-0.407451\pi\) |
−0.606560 | + | 0.795038i | \(0.707451\pi\) | |||||||
\(84\) | 5.21859 | + | 3.60735i | 0.569395 | + | 0.393595i | ||||
\(85\) | 4.19620 | − | 1.95318i | 0.455142 | − | 0.211852i | ||||
\(86\) | −0.500575 | + | 3.42000i | −0.0539784 | + | 0.368788i | ||||
\(87\) | −0.801110 | − | 5.05801i | −0.0858880 | − | 0.542275i | ||||
\(88\) | 7.56918 | − | 11.2297i | 0.806877 | − | 1.19709i | ||||
\(89\) | −4.94014 | − | 6.79952i | −0.523654 | − | 0.720748i | 0.462493 | − | 0.886623i | \(-0.346955\pi\) |
−0.986147 | + | 0.165875i | \(0.946955\pi\) | |||||||
\(90\) | −17.7479 | − | 13.5530i | −1.87080 | − | 1.42862i | ||||
\(91\) | −3.81355 | + | 5.24890i | −0.399768 | + | 0.550234i | ||||
\(92\) | −8.93511 | − | 4.29138i | −0.931550 | − | 0.447407i | ||||
\(93\) | 9.28403 | + | 9.28403i | 0.962709 | + | 0.962709i | ||||
\(94\) | 2.82884 | − | 5.71692i | 0.291773 | − | 0.589655i | ||||
\(95\) | 13.0278 | + | 4.75198i | 1.33663 | + | 0.487543i | ||||
\(96\) | −9.07051 | − | 15.4822i | −0.925755 | − | 1.58015i | ||||
\(97\) | 4.74023 | + | 9.30322i | 0.481297 | + | 0.944599i | 0.996179 | + | 0.0873378i | \(0.0278359\pi\) |
−0.514881 | + | 0.857261i | \(0.672164\pi\) | |||||||
\(98\) | −0.844633 | − | 1.13428i | −0.0853209 | − | 0.114580i | ||||
\(99\) | 33.8112 | 3.39815 | ||||||||
\(100\) | −9.98862 | − | 0.476931i | −0.998862 | − | 0.0476931i | ||||
\(101\) | 16.0248 | 1.59453 | 0.797264 | − | 0.603630i | \(-0.206280\pi\) | ||||
0.797264 | + | 0.603630i | \(0.206280\pi\) | |||||||
\(102\) | 5.54573 | + | 7.44751i | 0.549109 | + | 0.737413i | ||||
\(103\) | −1.95534 | − | 3.83757i | −0.192665 | − | 0.378127i | 0.774384 | − | 0.632716i | \(-0.218060\pi\) |
−0.967049 | + | 0.254589i | \(0.918060\pi\) | |||||||
\(104\) | 16.0471 | − | 8.90190i | 1.57355 | − | 0.872904i | ||||
\(105\) | 3.96219 | + | 5.88298i | 0.386670 | + | 0.574120i | ||||
\(106\) | −3.58379 | + | 7.24262i | −0.348088 | + | 0.703465i | ||||
\(107\) | −6.99644 | − | 6.99644i | −0.676372 | − | 0.676372i | 0.282806 | − | 0.959177i | \(-0.408735\pi\) |
−0.959177 | + | 0.282806i | \(0.908735\pi\) | |||||||
\(108\) | 11.1557 | − | 23.2274i | 1.07346 | − | 2.23505i | ||||
\(109\) | −7.16177 | + | 9.85733i | −0.685973 | + | 0.944161i | −0.999986 | − | 0.00525740i | \(-0.998327\pi\) |
0.314013 | + | 0.949419i | \(0.398327\pi\) | |||||||
\(110\) | 12.4581 | − | 8.60490i | 1.18783 | − | 0.820445i | ||||
\(111\) | 1.86477 | + | 2.56664i | 0.176996 | + | 0.243615i | ||||
\(112\) | 0.810578 | + | 3.91701i | 0.0765925 | + | 0.370123i | ||||
\(113\) | 0.363258 | + | 2.29352i | 0.0341724 | + | 0.215756i | 0.998866 | − | 0.0476205i | \(-0.0151638\pi\) |
−0.964693 | + | 0.263377i | \(0.915164\pi\) | |||||||
\(114\) | −4.02904 | + | 27.5270i | −0.377354 | + | 2.57814i | ||||
\(115\) | −7.55242 | − | 8.11025i | −0.704267 | − | 0.756285i | ||||
\(116\) | 1.83602 | − | 2.65609i | 0.170470 | − | 0.246612i | ||||
\(117\) | 40.8225 | + | 20.8001i | 3.77404 | + | 1.92297i | ||||
\(118\) | −19.0404 | + | 0.223631i | −1.75281 | + | 0.0205869i | ||||
\(119\) | −0.639642 | − | 1.96862i | −0.0586359 | − | 0.180463i | ||||
\(120\) | −3.13106 | − | 19.8157i | −0.285825 | − | 1.80892i | ||||
\(121\) | −3.68496 | + | 11.3411i | −0.334996 | + | 1.03101i | ||||
\(122\) | 2.22143 | − | 7.12033i | 0.201119 | − | 0.644645i | ||||
\(123\) | 0.860364 | − | 5.43212i | 0.0775764 | − | 0.489798i | ||||
\(124\) | 0.194434 | + | 8.27611i | 0.0174607 | + | 0.743217i | ||||
\(125\) | −10.2043 | − | 4.56870i | −0.912697 | − | 0.408637i | ||||
\(126\) | −6.97826 | + | 7.14413i | −0.621673 | + | 0.636450i | ||||
\(127\) | −12.0903 | − | 1.91491i | −1.07284 | − | 0.169921i | −0.405066 | − | 0.914288i | \(-0.632751\pi\) |
−0.667771 | + | 0.744367i | \(0.732751\pi\) | |||||||
\(128\) | 2.60072 | − | 11.0107i | 0.229873 | − | 0.973221i | ||||
\(129\) | −7.37319 | − | 2.39569i | −0.649173 | − | 0.210929i | ||||
\(130\) | 20.3350 | − | 2.72526i | 1.78350 | − | 0.239021i | ||||
\(131\) | 4.42435 | − | 1.43756i | 0.386557 | − | 0.125600i | −0.109290 | − | 0.994010i | \(-0.534858\pi\) |
0.495847 | + | 0.868410i | \(0.334858\pi\) | |||||||
\(132\) | 21.9770 | + | 20.9681i | 1.91285 | + | 1.82504i | ||||
\(133\) | 2.81552 | − | 5.52576i | 0.244136 | − | 0.479144i | ||||
\(134\) | −1.38507 | − | 8.12615i | −0.119652 | − | 0.701992i | ||||
\(135\) | 21.0831 | − | 19.6330i | 1.81454 | − | 1.68974i | ||||
\(136\) | −0.711600 | + | 5.81123i | −0.0610192 | + | 0.498309i | ||||
\(137\) | −11.2058 | + | 1.77482i | −0.957374 | + | 0.151633i | −0.615521 | − | 0.788120i | \(-0.711055\pi\) |
−0.341853 | + | 0.939753i | \(0.611055\pi\) | |||||||
\(138\) | 12.8559 | − | 18.1388i | 1.09437 | − | 1.54408i | ||||
\(139\) | 0.747812 | − | 0.543317i | 0.0634286 | − | 0.0460835i | −0.555619 | − | 0.831437i | \(-0.687519\pi\) |
0.619048 | + | 0.785353i | \(0.287519\pi\) | |||||||
\(140\) | −0.753039 | + | 4.40828i | −0.0636434 | + | 0.372568i | ||||
\(141\) | 11.5744 | + | 8.40928i | 0.974739 | + | 0.708189i | ||||
\(142\) | −2.15188 | + | 0.727236i | −0.180581 | + | 0.0610283i | ||||
\(143\) | −21.9659 | + | 21.9659i | −1.83688 | + | 1.83688i | ||||
\(144\) | 26.4247 | − | 9.98066i | 2.20206 | − | 0.831721i | ||||
\(145\) | 2.99424 | − | 2.01662i | 0.248658 | − | 0.167471i | ||||
\(146\) | 3.02586 | − | 1.58679i | 0.250422 | − | 0.131323i | ||||
\(147\) | 2.82629 | − | 1.44006i | 0.233108 | − | 0.118775i | ||||
\(148\) | −0.266431 | + | 1.98251i | −0.0219005 | + | 0.162961i | ||||
\(149\) | − | 21.0747i | − | 1.72651i | −0.504768 | − | 0.863255i | \(-0.668422\pi\) | ||
0.504768 | − | 0.863255i | \(-0.331578\pi\) | |||||||
\(150\) | 4.81892 | − | 21.9058i | 0.393463 | − | 1.78860i | ||||
\(151\) | − | 8.20346i | − | 0.667588i | −0.942646 | − | 0.333794i | \(-0.891671\pi\) | ||
0.942646 | − | 0.333794i | \(-0.108329\pi\) | |||||||
\(152\) | −13.8190 | + | 10.8039i | −1.12087 | + | 0.876310i | ||||
\(153\) | −13.0240 | + | 6.63605i | −1.05293 | + | 0.536493i | ||||
\(154\) | −3.14472 | − | 5.99669i | −0.253409 | − | 0.483227i | ||||
\(155\) | −3.17161 | + | 8.69515i | −0.254750 | + | 0.698411i | ||||
\(156\) | 13.6351 | + | 38.8360i | 1.09168 | + | 3.10937i | ||||
\(157\) | −4.32704 | + | 4.32704i | −0.345335 | + | 0.345335i | −0.858369 | − | 0.513033i | \(-0.828522\pi\) |
0.513033 | + | 0.858369i | \(0.328522\pi\) | |||||||
\(158\) | −0.141881 | − | 0.419822i | −0.0112874 | − | 0.0333992i | ||||
\(159\) | −14.6633 | − | 10.6535i | −1.16287 | − | 0.844877i | ||||
\(160\) | 7.19637 | − | 10.4025i | 0.568923 | − | 0.822391i | ||||
\(161\) | −4.00958 | + | 2.91313i | −0.315999 | + | 0.229587i | ||||
\(162\) | 22.7096 | + | 16.0954i | 1.78423 | + | 1.26457i | ||||
\(163\) | 16.5730 | − | 2.62491i | 1.29810 | − | 0.205599i | 0.531135 | − | 0.847287i | \(-0.321766\pi\) |
0.766966 | + | 0.641688i | \(0.221766\pi\) | |||||||
\(164\) | 2.75680 | − | 2.10361i | 0.215270 | − | 0.164264i | ||||
\(165\) | 14.3309 | + | 30.7885i | 1.11566 | + | 2.39688i | ||||
\(166\) | 4.55987 | − | 0.777215i | 0.353915 | − | 0.0603236i | ||||
\(167\) | 8.49539 | − | 16.6731i | 0.657393 | − | 1.29021i | −0.285905 | − | 0.958258i | \(-0.592294\pi\) |
0.943298 | − | 0.331948i | \(-0.107706\pi\) | |||||||
\(168\) | −8.96625 | + | 0.316044i | −0.691761 | + | 0.0243833i | ||||
\(169\) | −27.6701 | + | 8.99057i | −2.12847 | + | 0.691582i | ||||
\(170\) | −3.10995 | + | 5.75970i | −0.238522 | + | 0.441749i | ||||
\(171\) | −41.6510 | − | 13.5332i | −3.18513 | − | 1.03491i | ||||
\(172\) | −2.32085 | − | 4.30204i | −0.176963 | − | 0.328028i | ||||
\(173\) | 7.31078 | + | 1.15791i | 0.555828 | + | 0.0880345i | 0.428028 | − | 0.903765i | \(-0.359208\pi\) |
0.127800 | + | 0.991800i | \(0.459208\pi\) | |||||||
\(174\) | 5.18085 | + | 5.06056i | 0.392759 | + | 0.383640i | ||||
\(175\) | −2.58113 | + | 4.28226i | −0.195115 | + | 0.323708i | ||||
\(176\) | 0.899392 | + | 19.1308i | 0.0677942 | + | 1.44204i | ||||
\(177\) | 6.68127 | − | 42.1839i | 0.502195 | − | 3.17073i | ||||
\(178\) | 11.3466 | + | 3.53996i | 0.850465 | + | 0.265331i | ||||
\(179\) | 6.29778 | − | 19.3826i | 0.470718 | − | 1.44872i | −0.380928 | − | 0.924605i | \(-0.624395\pi\) |
0.851646 | − | 0.524117i | \(-0.175605\pi\) | |||||||
\(180\) | 31.5785 | + | 0.382468i | 2.35372 | + | 0.0285075i | ||||
\(181\) | −5.04185 | − | 15.5172i | −0.374758 | − | 1.15339i | −0.943642 | − | 0.330968i | \(-0.892625\pi\) |
0.568884 | − | 0.822418i | \(-0.307375\pi\) | |||||||
\(182\) | −0.107759 | − | 9.17478i | −0.00798759 | − | 0.680080i | ||||
\(183\) | 14.9063 | + | 7.59516i | 1.10191 | + | 0.561450i | ||||
\(184\) | 13.7596 | − | 2.67926i | 1.01437 | − | 0.197518i | ||||
\(185\) | −1.08560 | + | 1.95528i | −0.0798152 | + | 0.143755i | ||||
\(186\) | −18.3723 | − | 2.68910i | −1.34712 | − | 0.197174i | ||||
\(187\) | −1.55039 | − | 9.78876i | −0.113375 | − | 0.715825i | ||||
\(188\) | 1.62000 | + | 8.87393i | 0.118151 | + | 0.647198i | ||||
\(189\) | −7.57286 | − | 10.4231i | −0.550844 | − | 0.758172i | ||||
\(190\) | −18.7909 | + | 5.61366i | −1.36324 | + | 0.407258i | ||||
\(191\) | −3.56327 | + | 4.90442i | −0.257829 | + | 0.354871i | −0.918234 | − | 0.396039i | \(-0.870385\pi\) |
0.660405 | + | 0.750910i | \(0.270385\pi\) | |||||||
\(192\) | 23.3653 | + | 9.89996i | 1.68625 | + | 0.714468i | ||||
\(193\) | 1.04718 | + | 1.04718i | 0.0753780 | + | 0.0753780i | 0.743791 | − | 0.668413i | \(-0.233026\pi\) |
−0.668413 | + | 0.743791i | \(0.733026\pi\) | |||||||
\(194\) | −13.2346 | − | 6.54872i | −0.950187 | − | 0.470170i | ||||
\(195\) | −1.63791 | + | 45.9892i | −0.117293 | + | 3.29335i | ||||
\(196\) | 1.91610 | + | 0.573189i | 0.136865 | + | 0.0409421i | ||||
\(197\) | −1.54301 | − | 3.02833i | −0.109935 | − | 0.215759i | 0.829484 | − | 0.558530i | \(-0.188635\pi\) |
−0.939419 | + | 0.342771i | \(0.888635\pi\) | |||||||
\(198\) | −38.3514 | + | 28.5581i | −2.72552 | + | 2.02953i | ||||
\(199\) | 3.70837 | 0.262879 | 0.131440 | − | 0.991324i | \(-0.458040\pi\) | ||||
0.131440 | + | 0.991324i | \(0.458040\pi\) | |||||||
\(200\) | 11.7327 | − | 7.89575i | 0.829630 | − | 0.558314i | ||||
\(201\) | 18.4894 | 1.30414 | ||||||||
\(202\) | −18.1766 | + | 13.5351i | −1.27890 | + | 0.952326i | ||||
\(203\) | −0.732944 | − | 1.43848i | −0.0514426 | − | 0.100962i | ||||
\(204\) | −12.5808 | − | 3.76346i | −0.880834 | − | 0.263495i | ||||
\(205\) | 3.72758 | − | 1.06607i | 0.260346 | − | 0.0744575i | ||||
\(206\) | 5.45924 | + | 2.70134i | 0.380363 | + | 0.188211i | ||||
\(207\) | 24.7477 | + | 24.7477i | 1.72008 | + | 1.72008i | ||||
\(208\) | −10.6831 | + | 23.6512i | −0.740737 | + | 1.63991i | ||||
\(209\) | 17.4535 | − | 24.0227i | 1.20728 | − | 1.66168i | ||||
\(210\) | −9.46320 | − | 3.32636i | −0.653023 | − | 0.229541i | ||||
\(211\) | 2.84398 | + | 3.91440i | 0.195787 | + | 0.269478i | 0.895612 | − | 0.444837i | \(-0.146738\pi\) |
−0.699824 | + | 0.714315i | \(0.746738\pi\) | |||||||
\(212\) | −2.05233 | − | 11.2422i | −0.140955 | − | 0.772114i | ||||
\(213\) | −0.796992 | − | 5.03201i | −0.0546090 | − | 0.344788i | ||||
\(214\) | 13.8454 | + | 2.02651i | 0.946450 | + | 0.138529i | ||||
\(215\) | −0.662266 | − | 5.42483i | −0.0451662 | − | 0.369970i | ||||
\(216\) | 6.96490 | + | 35.7689i | 0.473902 | + | 2.43376i | ||||
\(217\) | 3.68805 | + | 1.87916i | 0.250361 | + | 0.127565i | ||||
\(218\) | −0.202369 | − | 17.2301i | −0.0137061 | − | 1.16697i | ||||
\(219\) | 2.36814 | + | 7.28838i | 0.160024 | + | 0.492503i | ||||
\(220\) | −6.86298 | + | 20.2829i | −0.462702 | + | 1.36747i | ||||
\(221\) | 4.15000 | − | 12.7724i | 0.279159 | − | 0.859163i | ||||
\(222\) | −4.28305 | − | 1.33624i | −0.287459 | − | 0.0896827i | ||||
\(223\) | −3.18215 | + | 20.0913i | −0.213093 | + | 1.34541i | 0.616637 | + | 0.787248i | \(0.288495\pi\) |
−0.829730 | + | 0.558166i | \(0.811505\pi\) | |||||||
\(224\) | −4.22786 | − | 3.75835i | −0.282486 | − | 0.251115i | ||||
\(225\) | 32.7190 | + | 13.2722i | 2.18127 | + | 0.884811i | ||||
\(226\) | −2.34922 | − | 2.29468i | −0.156268 | − | 0.152640i | ||||
\(227\) | 2.24145 | + | 0.355011i | 0.148770 | + | 0.0235629i | 0.230375 | − | 0.973102i | \(-0.426005\pi\) |
−0.0816051 | + | 0.996665i | \(0.526005\pi\) | |||||||
\(228\) | −18.6801 | − | 34.6264i | −1.23712 | − | 2.29319i | ||||
\(229\) | −18.1470 | − | 5.89633i | −1.19919 | − | 0.389641i | −0.359727 | − | 0.933057i | \(-0.617130\pi\) |
−0.839463 | + | 0.543417i | \(0.817130\pi\) | |||||||
\(230\) | 15.4168 | + | 2.82028i | 1.01655 | + | 0.185964i | ||||
\(231\) | 14.4442 | − | 4.69321i | 0.950360 | − | 0.308791i | ||||
\(232\) | 0.160856 | + | 4.56352i | 0.0105607 | + | 0.299610i | ||||
\(233\) | 8.46698 | − | 16.6174i | 0.554690 | − | 1.08864i | −0.428068 | − | 0.903746i | \(-0.640806\pi\) |
0.982758 | − | 0.184894i | \(-0.0591942\pi\) | |||||||
\(234\) | −63.8727 | + | 10.8869i | −4.17549 | + | 0.711697i | ||||
\(235\) | −1.93124 | + | 9.89869i | −0.125980 | + | 0.645719i | ||||
\(236\) | 21.4083 | − | 16.3358i | 1.39356 | − | 1.06337i | ||||
\(237\) | 0.981724 | − | 0.155490i | 0.0637698 | − | 0.0101001i | ||||
\(238\) | 2.38829 | + | 1.69270i | 0.154810 | + | 0.109722i | ||||
\(239\) | 21.0781 | − | 15.3141i | 1.36343 | − | 0.990587i | 0.365208 | − | 0.930926i | \(-0.380998\pi\) |
0.998219 | − | 0.0596612i | \(-0.0190020\pi\) | |||||||
\(240\) | 20.2885 | + | 19.8320i | 1.30962 | + | 1.28015i | ||||
\(241\) | −12.3627 | − | 8.98203i | −0.796352 | − | 0.578583i | 0.113490 | − | 0.993539i | \(-0.463797\pi\) |
−0.909842 | + | 0.414956i | \(0.863797\pi\) | |||||||
\(242\) | −5.39933 | − | 15.9765i | −0.347082 | − | 1.02701i | ||||
\(243\) | −16.8160 | + | 16.8160i | −1.07875 | + | 1.07875i | ||||
\(244\) | 3.49434 | + | 9.95275i | 0.223702 | + | 0.637160i | ||||
\(245\) | 1.76109 | + | 1.37788i | 0.112512 | + | 0.0880297i | ||||
\(246\) | 3.61226 | + | 6.88825i | 0.230309 | + | 0.439179i | ||||
\(247\) | 35.8511 | − | 18.2670i | 2.28115 | − | 1.16230i | ||||
\(248\) | −7.21082 | − | 9.22321i | −0.457888 | − | 0.585675i | ||||
\(249\) | 10.3751i | 0.657494i | ||||||||
\(250\) | 15.4334 | − | 3.43668i | 0.976093 | − | 0.217354i | ||||
\(251\) | 10.7779i | 0.680296i | 0.940372 | + | 0.340148i | \(0.110477\pi\) | ||||
−0.940372 | + | 0.340148i | \(0.889523\pi\) | |||||||
\(252\) | 1.88114 | − | 13.9975i | 0.118501 | − | 0.881761i | ||||
\(253\) | −21.1434 | + | 10.7731i | −1.32927 | + | 0.677299i | ||||
\(254\) | 15.3311 | − | 8.03979i | 0.961961 | − | 0.504461i | ||||
\(255\) | −11.5630 | − | 9.04695i | −0.724105 | − | 0.566542i | ||||
\(256\) | 6.35009 | + | 14.6859i | 0.396880 | + | 0.917870i | ||||
\(257\) | 0.180215 | − | 0.180215i | 0.0112415 | − | 0.0112415i | −0.701464 | − | 0.712705i | \(-0.747470\pi\) |
0.712705 | + | 0.701464i | \(0.247470\pi\) | |||||||
\(258\) | 10.3868 | − | 3.51025i | 0.646651 | − | 0.218539i | ||||
\(259\) | 0.809151 | + | 0.587883i | 0.0502782 | + | 0.0365293i | ||||
\(260\) | −20.7638 | + | 20.2669i | −1.28772 | + | 1.25690i | ||||
\(261\) | −9.22338 | + | 6.70118i | −0.570913 | + | 0.414792i | ||||
\(262\) | −3.80425 | + | 5.36755i | −0.235027 | + | 0.331608i | ||||
\(263\) | −21.1457 | + | 3.34915i | −1.30390 | + | 0.206517i | −0.769463 | − | 0.638692i | \(-0.779476\pi\) |
−0.534436 | + | 0.845209i | \(0.679476\pi\) | |||||||
\(264\) | −42.6384 | − | 5.22118i | −2.62421 | − | 0.321342i | ||||
\(265\) | 2.44663 | − | 12.5404i | 0.150296 | − | 0.770350i | ||||
\(266\) | 1.47365 | + | 8.64584i | 0.0903556 | + | 0.530111i | ||||
\(267\) | −12.1033 | + | 23.7540i | −0.740708 | + | 1.45372i | ||||
\(268\) | 8.43468 | + | 8.04746i | 0.515230 | + | 0.491577i | ||||
\(269\) | 28.9984 | − | 9.42215i | 1.76806 | − | 0.574478i | 0.770079 | − | 0.637948i | \(-0.220217\pi\) |
0.997984 | + | 0.0634700i | \(0.0202167\pi\) | |||||||
\(270\) | −7.33149 | + | 40.0768i | −0.446180 | + | 2.43900i | ||||
\(271\) | 3.43606 | + | 1.11644i | 0.208726 | + | 0.0678192i | 0.411514 | − | 0.911404i | \(-0.365000\pi\) |
−0.202788 | + | 0.979223i | \(0.565000\pi\) | |||||||
\(272\) | −4.10120 | − | 7.19261i | −0.248672 | − | 0.436116i | ||||
\(273\) | 20.3266 | + | 3.21942i | 1.23022 | + | 0.194848i | ||||
\(274\) | 11.2114 | − | 11.4779i | 0.677308 | − | 0.693407i | ||||
\(275\) | −15.4137 | + | 18.3177i | −0.929481 | + | 1.10460i | ||||
\(276\) | 0.738470 | + | 31.4331i | 0.0444506 | + | 1.89205i | ||||
\(277\) | 2.69753 | − | 17.0315i | 0.162079 | − | 1.02333i | −0.763785 | − | 0.645470i | \(-0.776661\pi\) |
0.925864 | − | 0.377856i | \(-0.123339\pi\) | |||||||
\(278\) | −0.389325 | + | 1.24790i | −0.0233502 | + | 0.0748441i | ||||
\(279\) | 9.03247 | − | 27.7991i | 0.540760 | − | 1.66429i | ||||
\(280\) | −2.86922 | − | 5.63627i | −0.171469 | − | 0.336832i | ||||
\(281\) | −4.93995 | − | 15.2036i | −0.294693 | − | 0.906971i | −0.983324 | − | 0.181860i | \(-0.941788\pi\) |
0.688632 | − | 0.725111i | \(-0.258212\pi\) | |||||||
\(282\) | −20.2314 | + | 0.237619i | −1.20476 | + | 0.0141500i | ||||
\(283\) | −27.2768 | − | 13.8982i | −1.62144 | − | 0.826164i | −0.999056 | − | 0.0434496i | \(-0.986165\pi\) |
−0.622382 | − | 0.782714i | \(-0.713835\pi\) | |||||||
\(284\) | 1.82658 | − | 2.64244i | 0.108388 | − | 0.156800i | ||||
\(285\) | −5.33047 | − | 43.6635i | −0.315750 | − | 2.58640i | ||||
\(286\) | 6.36237 | − | 43.4686i | 0.376215 | − | 2.57035i | ||||
\(287\) | −0.271236 | − | 1.71251i | −0.0160105 | − | 0.101087i | ||||
\(288\) | −21.5430 | + | 33.6400i | −1.26944 | + | 1.98226i | ||||
\(289\) | −7.47393 | − | 10.2870i | −0.439643 | − | 0.605116i | ||||
\(290\) | −1.69301 | + | 4.81645i | −0.0994167 | + | 0.282832i | ||||
\(291\) | 19.4673 | − | 26.7945i | 1.14120 | − | 1.57072i | ||||
\(292\) | −2.09192 | + | 4.35560i | −0.122420 | + | 0.254892i | ||||
\(293\) | −13.0237 | − | 13.0237i | −0.760854 | − | 0.760854i | 0.215623 | − | 0.976477i | \(-0.430822\pi\) |
−0.976477 | + | 0.215623i | \(0.930822\pi\) | |||||||
\(294\) | −1.98948 | + | 4.02061i | −0.116029 | + | 0.234487i | ||||
\(295\) | 28.9470 | − | 8.27870i | 1.68536 | − | 0.482005i | ||||
\(296\) | −1.37229 | − | 2.47376i | −0.0797625 | − | 0.143784i | ||||
\(297\) | −28.0053 | − | 54.9635i | −1.62503 | − | 3.18931i | ||||
\(298\) | 17.8004 | + | 23.9047i | 1.03115 | + | 1.38476i | ||||
\(299\) | −32.1552 | −1.85959 | ||||||||
\(300\) | 13.0363 | + | 28.9175i | 0.752652 | + | 1.66955i | ||||
\(301\) | −2.44407 | −0.140874 | ||||||||
\(302\) | 6.92892 | + | 9.30503i | 0.398714 | + | 0.535444i | ||||
\(303\) | −23.0768 | − | 45.2907i | −1.32573 | − | 2.60188i | ||||
\(304\) | 6.54934 | − | 23.9266i | 0.375630 | − | 1.37229i | ||||
\(305\) | −0.419759 | + | 11.7859i | −0.0240353 | + | 0.674861i | ||||
\(306\) | 9.16783 | − | 18.5276i | 0.524090 | − | 1.05915i | ||||
\(307\) | −3.93091 | − | 3.93091i | −0.224349 | − | 0.224349i | 0.585978 | − | 0.810327i | \(-0.300711\pi\) |
−0.810327 | + | 0.585978i | \(0.800711\pi\) | |||||||
\(308\) | 8.63200 | + | 4.14580i | 0.491854 | + | 0.236229i | ||||
\(309\) | −8.03025 | + | 11.0527i | −0.456825 | + | 0.628766i | ||||
\(310\) | −3.74672 | − | 12.5416i | −0.212799 | − | 0.712315i | ||||
\(311\) | 11.5422 | + | 15.8865i | 0.654498 | + | 0.900839i | 0.999284 | − | 0.0378424i | \(-0.0120485\pi\) |
−0.344786 | + | 0.938681i | \(0.612048\pi\) | |||||||
\(312\) | −48.2682 | − | 32.5343i | −2.73265 | − | 1.84189i | ||||
\(313\) | 3.20753 | + | 20.2516i | 0.181300 | + | 1.14469i | 0.895605 | + | 0.444850i | \(0.146743\pi\) |
−0.714304 | + | 0.699835i | \(0.753257\pi\) | |||||||
\(314\) | 1.25332 | − | 8.56284i | 0.0707289 | − | 0.483229i | ||||
\(315\) | 7.66491 | − | 13.8053i | 0.431869 | − | 0.777839i | ||||
\(316\) | 0.515528 | + | 0.356359i | 0.0290007 | + | 0.0200468i | ||||
\(317\) | −0.956207 | − | 0.487212i | −0.0537059 | − | 0.0273645i | 0.426931 | − | 0.904284i | \(-0.359595\pi\) |
−0.480637 | + | 0.876920i | \(0.659595\pi\) | |||||||
\(318\) | 25.6306 | − | 0.301033i | 1.43729 | − | 0.0168811i | ||||
\(319\) | −2.38869 | − | 7.35162i | −0.133741 | − | 0.411612i | ||||
\(320\) | 0.623595 | + | 17.8777i | 0.0348600 | + | 0.999392i | ||||
\(321\) | −9.69862 | + | 29.8493i | −0.541324 | + | 1.66602i | ||||
\(322\) | 2.08746 | − | 6.69093i | 0.116330 | − | 0.372871i | ||||
\(323\) | −2.00816 | + | 12.6790i | −0.111737 | + | 0.705480i | ||||
\(324\) | −39.3537 | + | 0.924553i | −2.18632 | + | 0.0513641i | ||||
\(325\) | −29.8787 | + | 12.6339i | −1.65737 | + | 0.700801i | ||||
\(326\) | −16.5814 | + | 16.9755i | −0.918359 | + | 0.940188i | ||||
\(327\) | 38.1731 | + | 6.04602i | 2.11098 | + | 0.334346i | ||||
\(328\) | −1.35021 | + | 4.71457i | −0.0745529 | + | 0.260318i | ||||
\(329\) | 4.28954 | + | 1.39376i | 0.236490 | + | 0.0768403i | ||||
\(330\) | −42.2603 | − | 22.8185i | −2.32636 | − | 1.25612i | ||||
\(331\) | −21.3503 | + | 6.93715i | −1.17352 | + | 0.381300i | −0.829956 | − | 0.557829i | \(-0.811635\pi\) |
−0.343565 | + | 0.939129i | \(0.611635\pi\) | |||||||
\(332\) | −4.51572 | + | 4.73300i | −0.247832 | + | 0.259757i | ||||
\(333\) | 3.20647 | − | 6.29305i | 0.175713 | − | 0.344857i | ||||
\(334\) | 4.44653 | + | 26.0875i | 0.243303 | + | 1.42745i | ||||
\(335\) | 5.50016 | + | 11.8165i | 0.300506 | + | 0.645605i | ||||
\(336\) | 9.90330 | − | 7.93167i | 0.540270 | − | 0.432708i | ||||
\(337\) | 2.83788 | − | 0.449476i | 0.154589 | − | 0.0244845i | −0.0786602 | − | 0.996901i | \(-0.525064\pi\) |
0.233249 | + | 0.972417i | \(0.425064\pi\) | |||||||
\(338\) | 23.7920 | − | 33.5689i | 1.29411 | − | 1.82591i | ||||
\(339\) | 5.95903 | − | 4.32949i | 0.323650 | − | 0.235145i | ||||
\(340\) | −1.33728 | − | 9.15989i | −0.0725240 | − | 0.496765i | ||||
\(341\) | 16.0334 | + | 11.6490i | 0.868259 | + | 0.630827i | ||||
\(342\) | 58.6746 | − | 19.8293i | 3.17276 | − | 1.07225i | ||||
\(343\) | 0.707107 | − | 0.707107i | 0.0381802 | − | 0.0381802i | ||||
\(344\) | 6.26615 | + | 2.91946i | 0.337848 | + | 0.157407i | ||||
\(345\) | −12.0459 | + | 33.0246i | −0.648530 | + | 1.77798i | ||||
\(346\) | −9.27049 | + | 4.86153i | −0.498385 | + | 0.261357i | ||||
\(347\) | −13.5526 | + | 6.90539i | −0.727542 | + | 0.370701i | −0.778201 | − | 0.628015i | \(-0.783868\pi\) |
0.0506596 | + | 0.998716i | \(0.483868\pi\) | |||||||
\(348\) | −10.1509 | − | 1.36418i | −0.544143 | − | 0.0731279i | ||||
\(349\) | 11.4942i | 0.615270i | 0.951504 | + | 0.307635i | \(0.0995376\pi\) | ||||
−0.951504 | + | 0.307635i | \(0.900462\pi\) | |||||||
\(350\) | −0.689209 | − | 7.03740i | −0.0368398 | − | 0.376165i | ||||
\(351\) | − | 83.5895i | − | 4.46168i | ||||||
\(352\) | −17.1787 | − | 20.9401i | −0.915627 | − | 1.11611i | ||||
\(353\) | −27.2386 | + | 13.8787i | −1.44976 | + | 0.738691i | −0.988872 | − | 0.148766i | \(-0.952470\pi\) |
−0.460890 | + | 0.887457i | \(0.652470\pi\) | |||||||
\(354\) | 28.0515 | + | 53.4916i | 1.49092 | + | 2.84305i | ||||
\(355\) | 2.97885 | − | 2.00625i | 0.158101 | − | 0.106481i | ||||
\(356\) | −15.8602 | + | 5.56842i | −0.840590 | + | 0.295125i | ||||
\(357\) | −4.64275 | + | 4.64275i | −0.245720 | + | 0.245720i | ||||
\(358\) | 9.22771 | + | 27.3046i | 0.487700 | + | 1.44309i | ||||
\(359\) | −12.6061 | − | 9.15889i | −0.665326 | − | 0.483387i | 0.203132 | − | 0.979151i | \(-0.434888\pi\) |
−0.868457 | + | 0.495764i | \(0.834888\pi\) | |||||||
\(360\) | −36.1419 | + | 26.2384i | −1.90485 | + | 1.38289i | ||||
\(361\) | −15.7444 | + | 11.4390i | −0.828652 | + | 0.602051i | ||||
\(362\) | 18.8252 | + | 13.3424i | 0.989433 | + | 0.701260i | ||||
\(363\) | 37.3599 | − | 5.91723i | 1.96089 | − | 0.310574i | ||||
\(364\) | 7.87155 | + | 10.3158i | 0.412581 | + | 0.540693i | ||||
\(365\) | −3.95351 | + | 3.68158i | −0.206936 | + | 0.192703i | ||||
\(366\) | −23.3231 | + | 3.97534i | −1.21912 | + | 0.207794i | ||||
\(367\) | −6.27850 | + | 12.3222i | −0.327735 | + | 0.643216i | −0.994807 | − | 0.101777i | \(-0.967547\pi\) |
0.667072 | + | 0.744993i | \(0.267547\pi\) | |||||||
\(368\) | −13.3442 | + | 14.6608i | −0.695616 | + | 0.764249i | ||||
\(369\) | −11.6447 | + | 3.78360i | −0.606199 | + | 0.196966i | ||||
\(370\) | −0.420116 | − | 3.13478i | −0.0218408 | − | 0.162969i | ||||
\(371\) | −5.43431 | − | 1.76572i | −0.282135 | − | 0.0916714i | ||||
\(372\) | 23.1107 | − | 12.4677i | 1.19823 | − | 0.646418i | ||||
\(373\) | −11.5734 | − | 1.83305i | −0.599249 | − | 0.0949118i | −0.150562 | − | 0.988601i | \(-0.548108\pi\) |
−0.448687 | + | 0.893689i | \(0.648108\pi\) | |||||||
\(374\) | 10.0265 | + | 9.79369i | 0.518457 | + | 0.506420i | ||||
\(375\) | 1.78236 | + | 35.4194i | 0.0920406 | + | 1.82905i | ||||
\(376\) | −9.33275 | − | 8.69723i | −0.481300 | − | 0.448525i | ||||
\(377\) | 1.63858 | − | 10.3456i | 0.0843911 | − | 0.532824i | ||||
\(378\) | 17.3935 | + | 5.42649i | 0.894624 | + | 0.279109i | ||||
\(379\) | −3.62300 | + | 11.1505i | −0.186101 | + | 0.572761i | −0.999966 | − | 0.00829415i | \(-0.997360\pi\) |
0.813864 | + | 0.581055i | \(0.197360\pi\) | |||||||
\(380\) | 16.5727 | − | 22.2389i | 0.850161 | − | 1.14083i | ||||
\(381\) | 11.9987 | + | 36.9281i | 0.614710 | + | 1.89188i | ||||
\(382\) | −0.100686 | − | 8.57264i | −0.00515156 | − | 0.438615i | ||||
\(383\) | 12.6689 | + | 6.45511i | 0.647348 | + | 0.329840i | 0.746650 | − | 0.665217i | \(-0.231661\pi\) |
−0.0993018 | + | 0.995057i | \(0.531661\pi\) | |||||||
\(384\) | −34.8647 | + | 8.50579i | −1.77918 | + | 0.434059i | ||||
\(385\) | 7.29622 | + | 7.83512i | 0.371850 | + | 0.399315i | ||||
\(386\) | −2.07229 | − | 0.303315i | −0.105477 | − | 0.0154383i | ||||
\(387\) | 2.69994 | + | 17.0468i | 0.137246 | + | 0.866535i | ||||
\(388\) | 20.5430 | − | 3.75027i | 1.04291 | − | 0.190391i | ||||
\(389\) | −2.83460 | − | 3.90150i | −0.143720 | − | 0.197814i | 0.731088 | − | 0.682283i | \(-0.239013\pi\) |
−0.874808 | + | 0.484469i | \(0.839013\pi\) | |||||||
\(390\) | −36.9861 | − | 53.5481i | −1.87287 | − | 2.71151i | ||||
\(391\) | 6.02996 | − | 8.29953i | 0.304948 | − | 0.419725i | ||||
\(392\) | −2.65754 | + | 0.968248i | −0.134226 | + | 0.0489039i | ||||
\(393\) | −10.4343 | − | 10.4343i | −0.526341 | − | 0.526341i | ||||
\(394\) | 4.30803 | + | 2.13170i | 0.217036 | + | 0.107393i | ||||
\(395\) | 0.391412 | + | 0.581161i | 0.0196941 | + | 0.0292414i | ||||
\(396\) | 19.3802 | − | 64.7858i | 0.973892 | − | 3.25561i | ||||
\(397\) | −3.58022 | − | 7.02658i | −0.179686 | − | 0.352654i | 0.783542 | − | 0.621339i | \(-0.213411\pi\) |
−0.963228 | + | 0.268685i | \(0.913411\pi\) | |||||||
\(398\) | −4.20634 | + | 3.13221i | −0.210845 | + | 0.157004i | ||||
\(399\) | −19.6719 | −0.984827 | ||||||||
\(400\) | −6.63921 | + | 18.8659i | −0.331961 | + | 0.943293i | ||||
\(401\) | −23.1049 | −1.15380 | −0.576901 | − | 0.816814i | \(-0.695738\pi\) | ||||
−0.576901 | + | 0.816814i | \(0.695738\pi\) | |||||||
\(402\) | −20.9722 | + | 15.6168i | −1.04600 | + | 0.778895i | ||||
\(403\) | 12.1920 | + | 23.9281i | 0.607325 | + | 1.19194i | ||||
\(404\) | 9.18524 | − | 30.7052i | 0.456983 | − | 1.52764i | ||||
\(405\) | −41.3463 | − | 15.0813i | −2.05452 | − | 0.749396i | ||||
\(406\) | 2.04636 | + | 1.01258i | 0.101559 | + | 0.0502533i | ||||
\(407\) | 3.38618 | + | 3.38618i | 0.167847 | + | 0.167847i | ||||
\(408\) | 17.4489 | − | 6.35736i | 0.863852 | − | 0.314736i | ||||
\(409\) | −0.618639 | + | 0.851484i | −0.0305897 | + | 0.0421032i | −0.824038 | − | 0.566535i | \(-0.808284\pi\) |
0.793448 | + | 0.608638i | \(0.208284\pi\) | |||||||
\(410\) | −3.32769 | + | 4.35766i | −0.164343 | + | 0.215210i | ||||
\(411\) | 21.1532 | + | 29.1149i | 1.04341 | + | 1.43613i | ||||
\(412\) | −8.47396 | + | 1.54698i | −0.417482 | + | 0.0762143i | ||||
\(413\) | −2.10632 | − | 13.2988i | −0.103645 | − | 0.654389i | ||||
\(414\) | −48.9735 | − | 7.16811i | −2.40692 | − | 0.352293i | ||||
\(415\) | −6.63067 | + | 3.08633i | −0.325487 | + | 0.151502i | ||||
\(416\) | −7.85897 | − | 35.8503i | −0.385318 | − | 1.75771i | ||||
\(417\) | −2.61247 | − | 1.33112i | −0.127933 | − | 0.0651851i | ||||
\(418\) | 0.493179 | + | 41.9903i | 0.0241222 | + | 2.05381i | ||||
\(419\) | 4.13019 | + | 12.7114i | 0.201773 | + | 0.620994i | 0.999830 | + | 0.0184124i | \(0.00586117\pi\) |
−0.798057 | + | 0.602582i | \(0.794139\pi\) | |||||||
\(420\) | 13.5435 | − | 4.21990i | 0.660854 | − | 0.205910i | ||||
\(421\) | 5.79859 | − | 17.8462i | 0.282606 | − | 0.869772i | −0.704500 | − | 0.709704i | \(-0.748829\pi\) |
0.987106 | − | 0.160068i | \(-0.0511713\pi\) | |||||||
\(422\) | −6.53210 | − | 2.03791i | −0.317978 | − | 0.0992039i | ||||
\(423\) | 4.98248 | − | 31.4581i | 0.242256 | − | 1.52955i | ||||
\(424\) | 11.8234 | + | 11.0183i | 0.574196 | + | 0.535096i | ||||
\(425\) | 2.34215 | − | 10.0811i | 0.113611 | − | 0.489007i | ||||
\(426\) | 5.15422 | + | 5.03455i | 0.249723 | + | 0.243925i | ||||
\(427\) | 5.20924 | + | 0.825063i | 0.252093 | + | 0.0399276i | ||||
\(428\) | −17.4162 | + | 9.39563i | −0.841844 | + | 0.454155i | ||||
\(429\) | 93.7141 | + | 30.4495i | 4.52456 | + | 1.47012i | ||||
\(430\) | 5.33319 | + | 5.59391i | 0.257189 | + | 0.269762i | ||||
\(431\) | 15.8813 | − | 5.16015i | 0.764975 | − | 0.248556i | 0.0995627 | − | 0.995031i | \(-0.468256\pi\) |
0.665413 | + | 0.746476i | \(0.268256\pi\) | |||||||
\(432\) | −38.1117 | − | 34.6892i | −1.83365 | − | 1.66898i | ||||
\(433\) | 13.8251 | − | 27.1333i | 0.664393 | − | 1.30395i | −0.275112 | − | 0.961412i | \(-0.588715\pi\) |
0.939506 | − | 0.342533i | \(-0.111285\pi\) | |||||||
\(434\) | −5.77049 | + | 0.983560i | −0.276992 | + | 0.0472124i | ||||
\(435\) | −10.0114 | − | 5.55851i | −0.480012 | − | 0.266510i | ||||
\(436\) | 14.7826 | + | 19.3728i | 0.707960 | + | 0.927789i | ||||
\(437\) | 30.3579 | − | 4.80822i | 1.45222 | − | 0.230009i | ||||
\(438\) | −8.84214 | − | 6.26686i | −0.422494 | − | 0.299442i | ||||
\(439\) | 17.7130 | − | 12.8693i | 0.845397 | − | 0.614217i | −0.0784763 | − | 0.996916i | \(-0.525006\pi\) |
0.923873 | + | 0.382699i | \(0.125006\pi\) | |||||||
\(440\) | −9.34705 | − | 28.8032i | −0.445603 | − | 1.37314i | ||||
\(441\) | −5.71302 | − | 4.15075i | −0.272049 | − | 0.197655i | ||||
\(442\) | 6.08071 | + | 17.9927i | 0.289230 | + | 0.855825i | ||||
\(443\) | −9.56903 | + | 9.56903i | −0.454638 | + | 0.454638i | −0.896891 | − | 0.442252i | \(-0.854180\pi\) |
0.442252 | + | 0.896891i | \(0.354180\pi\) | |||||||
\(444\) | 5.98682 | − | 2.10193i | 0.284122 | − | 0.0997532i | ||||
\(445\) | −18.7815 | − | 0.668907i | −0.890329 | − | 0.0317092i | ||||
\(446\) | −13.3603 | − | 25.4769i | −0.632630 | − | 1.20637i | ||||
\(447\) | −59.5633 | + | 30.3490i | −2.81725 | + | 1.43546i | ||||
\(448\) | 7.97001 | + | 0.692033i | 0.376548 | + | 0.0326955i | ||||
\(449\) | 17.3680i | 0.819647i | 0.912165 | + | 0.409824i | \(0.134410\pi\) | ||||
−0.912165 | + | 0.409824i | \(0.865590\pi\) | |||||||
\(450\) | −48.3227 | + | 12.5812i | −2.27795 | + | 0.593083i | ||||
\(451\) | − | 8.30170i | − | 0.390912i | ||||||
\(452\) | 4.60284 | + | 0.618580i | 0.216499 | + | 0.0290955i | ||||
\(453\) | −23.1853 | + | 11.8135i | −1.08934 | + | 0.555047i | ||||
\(454\) | −2.84229 | + | 1.49052i | −0.133395 | + | 0.0699536i | ||||
\(455\) | 3.98916 | + | 13.9484i | 0.187015 | + | 0.653910i | ||||
\(456\) | 50.4351 | + | 23.4982i | 2.36184 | + | 1.10040i | ||||
\(457\) | 8.33149 | − | 8.33149i | 0.389731 | − | 0.389731i | −0.484861 | − | 0.874591i | \(-0.661130\pi\) |
0.874591 | + | 0.484861i | \(0.161130\pi\) | |||||||
\(458\) | 25.5641 | − | 8.63950i | 1.19453 | − | 0.403697i | ||||
\(459\) | 21.5751 | + | 15.6753i | 1.00704 | + | 0.731658i | ||||
\(460\) | −19.8690 | + | 9.82252i | −0.926399 | + | 0.457977i | ||||
\(461\) | −12.1429 | + | 8.82233i | −0.565551 | + | 0.410897i | −0.833486 | − | 0.552540i | \(-0.813659\pi\) |
0.267935 | + | 0.963437i | \(0.413659\pi\) | |||||||
\(462\) | −12.4198 | + | 17.5235i | −0.577820 | + | 0.815267i | ||||
\(463\) | 5.13421 | − | 0.813180i | 0.238607 | − | 0.0377917i | −0.0359855 | − | 0.999352i | \(-0.511457\pi\) |
0.274593 | + | 0.961561i | \(0.411457\pi\) | |||||||
\(464\) | −4.03695 | − | 5.04045i | −0.187411 | − | 0.233997i | ||||
\(465\) | 29.1423 | − | 3.55771i | 1.35144 | − | 0.164985i | ||||
\(466\) | 4.43166 | + | 26.0003i | 0.205293 | + | 1.20444i | ||||
\(467\) | 17.0631 | − | 33.4882i | 0.789585 | − | 1.54965i | −0.0451396 | − | 0.998981i | \(-0.514373\pi\) |
0.834725 | − | 0.550667i | \(-0.185627\pi\) | |||||||
\(468\) | 63.2541 | − | 66.2978i | 2.92392 | − | 3.06462i | ||||
\(469\) | 5.54363 | − | 1.80124i | 0.255981 | − | 0.0831734i | ||||
\(470\) | −6.17020 | − | 12.8591i | −0.284610 | − | 0.593145i | ||||
\(471\) | 18.4607 | + | 5.99824i | 0.850623 | + | 0.276384i | ||||
\(472\) | −10.4852 | + | 36.6116i | −0.482622 | + | 1.68518i | ||||
\(473\) | −11.5581 | − | 1.83062i | −0.531442 | − | 0.0841721i | ||||
\(474\) | −0.982219 | + | 1.00557i | −0.0451148 | + | 0.0461872i | ||||
\(475\) | 26.3195 | − | 16.3955i | 1.20762 | − | 0.752278i | ||||
\(476\) | −4.13871 | + | 0.0972324i | −0.189697 | + | 0.00445664i | ||||
\(477\) | −6.31217 | + | 39.8535i | −0.289015 | + | 1.82477i | ||||
\(478\) | −10.9736 | + | 35.1737i | −0.501923 | + | 1.60881i | ||||
\(479\) | −6.07768 | + | 18.7052i | −0.277696 | + | 0.854662i | 0.710797 | + | 0.703397i | \(0.248335\pi\) |
−0.988493 | + | 0.151264i | \(0.951665\pi\) | |||||||
\(480\) | −39.7637 | − | 5.35872i | −1.81496 | − | 0.244591i | ||||
\(481\) | 2.00523 | + | 6.17148i | 0.0914308 | + | 0.281395i | ||||
\(482\) | 21.6093 | − | 0.253803i | 0.984277 | − | 0.0115604i | ||||
\(483\) | 14.0074 | + | 7.13712i | 0.637358 | + | 0.324750i | ||||
\(484\) | 19.6186 | + | 13.5614i | 0.891756 | + | 0.616427i | ||||
\(485\) | 22.9153 | + | 4.47078i | 1.04053 | + | 0.203008i | ||||
\(486\) | 4.87072 | − | 33.2774i | 0.220940 | − | 1.50949i | ||||
\(487\) | −1.11792 | − | 7.05827i | −0.0506578 | − | 0.319841i | −0.999985 | − | 0.00555016i | \(-0.998233\pi\) |
0.949327 | − | 0.314291i | \(-0.101767\pi\) | |||||||
\(488\) | −12.3700 | − | 8.33778i | −0.559963 | − | 0.377434i | ||||
\(489\) | −31.2850 | − | 43.0601i | −1.41476 | − | 1.94725i | ||||
\(490\) | −3.16138 | − | 0.0754309i | −0.142816 | − | 0.00340762i | ||||
\(491\) | −2.75207 | + | 3.78790i | −0.124199 | + | 0.170946i | −0.866589 | − | 0.499023i | \(-0.833692\pi\) |
0.742390 | + | 0.669968i | \(0.233692\pi\) | |||||||
\(492\) | −9.91536 | − | 4.76218i | −0.447019 | − | 0.214696i | ||||
\(493\) | 2.36300 | + | 2.36300i | 0.106424 | + | 0.106424i | ||||
\(494\) | −25.2363 | + | 51.0010i | −1.13543 | + | 2.29464i | ||||
\(495\) | 46.5879 | − | 59.5446i | 2.09397 | − | 2.67633i | ||||
\(496\) | 15.9693 | + | 4.37122i | 0.717044 | + | 0.196273i | ||||
\(497\) | −0.729177 | − | 1.43109i | −0.0327081 | − | 0.0641932i | ||||
\(498\) | −8.76314 | − | 11.7683i | −0.392686 | − | 0.527349i | ||||
\(499\) | 37.4379 | 1.67595 | 0.837975 | − | 0.545708i | \(-0.183739\pi\) | ||||
0.837975 | + | 0.545708i | \(0.183739\pi\) | |||||||
\(500\) | −14.6031 | + | 16.9337i | −0.653069 | + | 0.757298i | ||||
\(501\) | −59.3570 | −2.65187 | ||||||||
\(502\) | −9.10338 | − | 12.2252i | −0.406304 | − | 0.545637i | ||||
\(503\) | −3.31549 | − | 6.50702i | −0.147830 | − | 0.290133i | 0.805203 | − | 0.593000i | \(-0.202056\pi\) |
−0.953033 | + | 0.302866i | \(0.902056\pi\) | |||||||
\(504\) | 9.68903 | + | 17.4660i | 0.431584 | + | 0.777998i | ||||
\(505\) | 22.0803 | − | 28.2211i | 0.982561 | − | 1.25582i | ||||
\(506\) | 14.8832 | − | 30.0781i | 0.661641 | − | 1.33714i | ||||
\(507\) | 65.2567 | + | 65.2567i | 2.89815 | + | 2.89815i | ||||
\(508\) | −10.5992 | + | 22.0686i | −0.470262 | + | 0.979135i | ||||
\(509\) | 7.15079 | − | 9.84222i | 0.316953 | − | 0.436249i | −0.620581 | − | 0.784143i | \(-0.713103\pi\) |
0.937534 | + | 0.347894i | \(0.113103\pi\) | |||||||
\(510\) | 20.7571 | + | 0.495267i | 0.919140 | + | 0.0219308i | ||||
\(511\) | 1.42006 | + | 1.95455i | 0.0628199 | + | 0.0864642i | ||||
\(512\) | −19.6070 | − | 11.2945i | −0.866516 | − | 0.499150i | ||||
\(513\) | 12.4993 | + | 78.9173i | 0.551856 | + | 3.48428i | ||||
\(514\) | −0.0521989 | + | 0.356630i | −0.00230239 | + | 0.0157303i | ||||
\(515\) | −9.45253 | − | 1.84419i | −0.416528 | − | 0.0812647i | ||||
\(516\) | −8.81662 | + | 12.7546i | −0.388130 | + | 0.561490i | ||||
\(517\) | 19.2415 | + | 9.80402i | 0.846239 | + | 0.431180i | ||||
\(518\) | −1.41435 | + | 0.0166117i | −0.0621430 | + | 0.000729875i | ||||
\(519\) | −7.25540 | − | 22.3298i | −0.318477 | − | 0.980170i | ||||
\(520\) | 6.43394 | − | 40.5261i | 0.282147 | − | 1.77719i | ||||
\(521\) | −13.4655 | + | 41.4426i | −0.589935 | + | 1.81563i | −0.0114573 | + | 0.999934i | \(0.503647\pi\) |
−0.578478 | + | 0.815698i | \(0.696353\pi\) | |||||||
\(522\) | 4.80187 | − | 15.3914i | 0.210172 | − | 0.673663i | ||||
\(523\) | 6.04288 | − | 38.1532i | 0.264237 | − | 1.66832i | −0.396750 | − | 0.917927i | \(-0.629862\pi\) |
0.660987 | − | 0.750398i | \(-0.270138\pi\) | |||||||
\(524\) | −0.218524 | − | 9.30150i | −0.00954627 | − | 0.406338i | ||||
\(525\) | 15.8199 | + | 1.12829i | 0.690437 | + | 0.0492426i | ||||
\(526\) | 21.1563 | − | 21.6592i | 0.922461 | − | 0.944387i | ||||
\(527\) | −8.46235 | − | 1.34030i | −0.368626 | − | 0.0583846i | ||||
\(528\) | 52.7739 | − | 30.0915i | 2.29669 | − | 1.30957i | ||||
\(529\) | −1.48654 | − | 0.483007i | −0.0646323 | − | 0.0210003i | ||||
\(530\) | 7.81687 | + | 16.2908i | 0.339543 | + | 0.707629i | ||||
\(531\) | −90.4285 | + | 29.3820i | −3.92426 | + | 1.27507i | ||||
\(532\) | −8.97411 | − | 8.56212i | −0.389077 | − | 0.371215i | ||||
\(533\) | 5.10707 | − | 10.0232i | 0.221212 | − | 0.434152i | ||||
\(534\) | −6.33491 | − | 37.1666i | −0.274138 | − | 1.60835i | ||||
\(535\) | −21.9616 | + | 2.68109i | −0.949485 | + | 0.115914i | ||||
\(536\) | −16.3644 | − | 2.00387i | −0.706837 | − | 0.0865540i | ||||
\(537\) | −63.8499 | + | 10.1128i | −2.75533 | + | 0.436401i | ||||
\(538\) | −24.9341 | + | 35.1804i | −1.07498 | + | 1.51673i | ||||
\(539\) | 3.87356 | − | 2.81431i | 0.166846 | − | 0.121221i | ||||
\(540\) | −25.5342 | − | 51.6508i | −1.09882 | − | 2.22270i | ||||
\(541\) | 14.2984 | + | 10.3884i | 0.614735 | + | 0.446631i | 0.851078 | − | 0.525039i | \(-0.175949\pi\) |
−0.236344 | + | 0.971670i | \(0.575949\pi\) | |||||||
\(542\) | −4.84045 | + | 1.63585i | −0.207915 | + | 0.0702658i | ||||
\(543\) | −36.5955 | + | 36.5955i | −1.57046 | + | 1.57046i | ||||
\(544\) | 10.7270 | + | 4.69443i | 0.459918 | + | 0.201272i | ||||
\(545\) | 7.49157 | + | 26.1948i | 0.320904 | + | 1.12206i | ||||
\(546\) | −25.7754 | + | 13.5168i | −1.10308 | + | 0.578467i | ||||
\(547\) | −21.5984 | + | 11.0049i | −0.923482 | + | 0.470538i | −0.850014 | − | 0.526760i | \(-0.823407\pi\) |
−0.0734679 | + | 0.997298i | \(0.523407\pi\) | |||||||
\(548\) | −3.02228 | + | 22.4887i | −0.129106 | + | 0.960672i | ||||
\(549\) | − | 37.2446i | − | 1.58956i | ||||||
\(550\) | 2.01176 | − | 33.7963i | 0.0857817 | − | 1.44108i | ||||
\(551\) | 10.0123i | 0.426540i | ||||||||
\(552\) | −27.3870 | − | 35.0302i | −1.16567 | − | 1.49098i | ||||
\(553\) | 0.279200 | − | 0.142259i | 0.0118728 | − | 0.00604948i | ||||
\(554\) | 11.3257 | + | 21.5970i | 0.481181 | + | 0.917568i | ||||
\(555\) | 7.08953 | + | 0.252495i | 0.300934 | + | 0.0107178i | ||||
\(556\) | −0.612415 | − | 1.74431i | −0.0259722 | − | 0.0739751i | ||||
\(557\) | −28.8530 | + | 28.8530i | −1.22254 | + | 1.22254i | −0.255812 | + | 0.966726i | \(0.582343\pi\) |
−0.966726 | + | 0.255812i | \(0.917657\pi\) | |||||||
\(558\) | 13.2347 | + | 39.1611i | 0.560268 | + | 1.65782i | ||||
\(559\) | −12.8287 | − | 9.32058i | −0.542595 | − | 0.394218i | ||||
\(560\) | 8.01509 | + | 3.96968i | 0.338699 | + | 0.167749i | ||||
\(561\) | −25.4332 | + | 18.4783i | −1.07379 | + | 0.780154i | ||||
\(562\) | 18.4448 | + | 13.0727i | 0.778045 | + | 0.551439i | ||||
\(563\) | 20.0573 | − | 3.17676i | 0.845314 | − | 0.133885i | 0.281269 | − | 0.959629i | \(-0.409245\pi\) |
0.564045 | + | 0.825744i | \(0.309245\pi\) | |||||||
\(564\) | 22.7474 | − | 17.3576i | 0.957836 | − | 0.730887i | ||||
\(565\) | 4.53962 | + | 2.52047i | 0.190983 | + | 0.106037i | ||||
\(566\) | 42.6785 | − | 7.27440i | 1.79391 | − | 0.305766i | ||||
\(567\) | −8.93558 | + | 17.5371i | −0.375259 | + | 0.736487i | ||||
\(568\) | 0.160029 | + | 4.54006i | 0.00671467 | + | 0.190497i | ||||
\(569\) | 37.8776 | − | 12.3072i | 1.58791 | − | 0.515943i | 0.623831 | − | 0.781559i | \(-0.285575\pi\) |
0.964079 | + | 0.265616i | \(0.0855753\pi\) | |||||||
\(570\) | 42.9259 | + | 45.0244i | 1.79797 | + | 1.88587i | ||||
\(571\) | 41.8795 | + | 13.6075i | 1.75260 | + | 0.569455i | 0.996392 | − | 0.0848726i | \(-0.0270483\pi\) |
0.756211 | + | 0.654328i | \(0.227048\pi\) | |||||||
\(572\) | 29.4983 | + | 54.6795i | 1.23339 | + | 2.28626i | ||||
\(573\) | 18.9926 | + | 3.00814i | 0.793428 | + | 0.125667i | ||||
\(574\) | 1.75410 | + | 1.71338i | 0.0732149 | + | 0.0715150i | ||||
\(575\) | −24.6892 | + | 2.12552i | −1.02961 | + | 0.0886404i | ||||
\(576\) | −3.97764 | − | 56.3532i | −0.165735 | − | 2.34805i | ||||
\(577\) | −4.81224 | + | 30.3833i | −0.200336 | + | 1.26487i | 0.658484 | + | 0.752595i | \(0.271198\pi\) |
−0.858820 | + | 0.512277i | \(0.828802\pi\) | |||||||
\(578\) | 17.1663 | + | 5.35560i | 0.714022 | + | 0.222764i | ||||
\(579\) | 1.45163 | − | 4.46765i | 0.0603276 | − | 0.185669i | ||||
\(580\) | −2.14779 | − | 6.89318i | −0.0891821 | − | 0.286224i | ||||
\(581\) | 1.01074 | + | 3.11073i | 0.0419325 | + | 0.129055i | ||||
\(582\) | 0.550084 | + | 46.8353i | 0.0228017 | + | 1.94138i | ||||
\(583\) | −24.3765 | − | 12.4205i | −1.00957 | − | 0.514403i | ||||
\(584\) | −1.30606 | − | 6.70738i | −0.0540452 | − | 0.277554i | ||||
\(585\) | 92.8795 | − | 43.2320i | 3.84009 | − | 1.78742i | ||||
\(586\) | 25.7728 | + | 3.77229i | 1.06467 | + | 0.155832i | ||||
\(587\) | 3.85648 | + | 24.3488i | 0.159174 | + | 1.00498i | 0.929899 | + | 0.367816i | \(0.119894\pi\) |
−0.770725 | + | 0.637168i | \(0.780106\pi\) | |||||||
\(588\) | −1.13932 | − | 6.24089i | −0.0469847 | − | 0.257370i | ||||
\(589\) | −15.0885 | − | 20.7675i | −0.621710 | − | 0.855711i | ||||
\(590\) | −25.8416 | + | 33.8400i | −1.06388 | + | 1.39317i | ||||
\(591\) | −6.33689 | + | 8.72198i | −0.260665 | + | 0.358774i | ||||
\(592\) | 3.64598 | + | 1.64686i | 0.149849 | + | 0.0676856i | ||||
\(593\) | 24.6746 | + | 24.6746i | 1.01326 | + | 1.01326i | 0.999911 | + | 0.0133516i | \(0.00425006\pi\) |
0.0133516 | + | 0.999911i | \(0.495750\pi\) | |||||||
\(594\) | 78.1899 | + | 38.6899i | 3.20817 | + | 1.58747i | ||||
\(595\) | −4.34826 | − | 1.58606i | −0.178261 | − | 0.0650219i | ||||
\(596\) | −40.3814 | − | 12.0798i | −1.65409 | − | 0.494808i | ||||
\(597\) | −5.34029 | − | 10.4809i | −0.218564 | − | 0.428955i | ||||
\(598\) | 36.4731 | − | 27.1594i | 1.49150 | − | 1.11063i | ||||
\(599\) | 5.27029 | 0.215338 | 0.107669 | − | 0.994187i | \(-0.465661\pi\) | ||||
0.107669 | + | 0.994187i | \(0.465661\pi\) | |||||||
\(600\) | −39.2115 | − | 21.7897i | −1.60080 | − | 0.889560i | ||||
\(601\) | 36.8839 | 1.50452 | 0.752262 | − | 0.658864i | \(-0.228963\pi\) | ||||
0.752262 | + | 0.658864i | \(0.228963\pi\) | |||||||
\(602\) | 2.77226 | − | 2.06434i | 0.112989 | − | 0.0841363i | ||||
\(603\) | −18.6872 | − | 36.6756i | −0.761000 | − | 1.49355i | ||||
\(604\) | −15.7187 | − | 4.70213i | −0.639584 | − | 0.191327i | ||||
\(605\) | 14.8953 | + | 22.1163i | 0.605582 | + | 0.899156i | ||||
\(606\) | 64.4296 | + | 31.8810i | 2.61727 | + | 1.29508i | ||||
\(607\) | −32.5171 | − | 32.5171i | −1.31983 | − | 1.31983i | −0.913907 | − | 0.405923i | \(-0.866950\pi\) |
−0.405923 | − | 0.913907i | \(-0.633050\pi\) | |||||||
\(608\) | 12.7805 | + | 32.6713i | 0.518316 | + | 1.32500i | ||||
\(609\) | −3.01008 | + | 4.14302i | −0.121975 | + | 0.167884i | ||||
\(610\) | −9.47868 | − | 13.7231i | −0.383780 | − | 0.555633i | ||||
\(611\) | 17.2002 | + | 23.6741i | 0.695846 | + | 0.957750i | ||||
\(612\) | 5.25016 | + | 28.7590i | 0.212225 | + | 1.16251i | ||||
\(613\) | −1.96818 | − | 12.4266i | −0.0794940 | − | 0.501905i | −0.995022 | − | 0.0996518i | \(-0.968227\pi\) |
0.915528 | − | 0.402253i | \(-0.131773\pi\) | |||||||
\(614\) | 7.77894 | + | 1.13858i | 0.313933 | + | 0.0459494i | ||||
\(615\) | −8.38098 | − | 9.00001i | −0.337954 | − | 0.362915i | ||||
\(616\) | −13.2928 | + | 2.58837i | −0.535582 | + | 0.104288i | ||||
\(617\) | 10.1452 | + | 5.16924i | 0.408430 | + | 0.208106i | 0.646121 | − | 0.763235i | \(-0.276390\pi\) |
−0.237690 | + | 0.971341i | \(0.576390\pi\) | |||||||
\(618\) | −0.226909 | − | 19.3195i | −0.00912761 | − | 0.777143i | ||||
\(619\) | −4.07194 | − | 12.5321i | −0.163665 | − | 0.503709i | 0.835271 | − | 0.549839i | \(-0.185311\pi\) |
−0.998935 | + | 0.0461305i | \(0.985311\pi\) | |||||||
\(620\) | 14.8429 | + | 11.0611i | 0.596105 | + | 0.444224i | ||||
\(621\) | 19.7317 | − | 60.7279i | 0.791806 | − | 2.43693i | ||||
\(622\) | −26.5103 | − | 8.27080i | −1.06297 | − | 0.331629i | ||||
\(623\) | −1.31478 | + | 8.30119i | −0.0526755 | + | 0.332580i | ||||
\(624\) | 82.2293 | − | 3.86583i | 3.29181 | − | 0.154757i | ||||
\(625\) | −22.1062 | + | 11.6755i | −0.884247 | + | 0.467020i | ||||
\(626\) | −20.7434 | − | 20.2618i | −0.829072 | − | 0.809823i | ||||
\(627\) | −93.0291 | − | 14.7344i | −3.71523 | − | 0.588434i | ||||
\(628\) | 5.81085 | + | 10.7713i | 0.231878 | + | 0.429820i | ||||
\(629\) | −1.96894 | − | 0.639749i | −0.0785069 | − | 0.0255085i | ||||
\(630\) | 2.96623 | + | 22.1331i | 0.118178 | + | 0.881804i | ||||
\(631\) | 42.8178 | − | 13.9124i | 1.70455 | − | 0.553842i | 0.715140 | − | 0.698981i | \(-0.246363\pi\) |
0.989411 | + | 0.145139i | \(0.0463629\pi\) | |||||||
\(632\) | −0.885746 | + | 0.0312210i | −0.0352331 | + | 0.00124190i | ||||
\(633\) | 6.96770 | − | 13.6749i | 0.276941 | − | 0.543527i | ||||
\(634\) | 1.49612 | − | 0.255009i | 0.0594186 | − | 0.0101277i | ||||
\(635\) | −20.0313 | + | 18.6535i | −0.794917 | + | 0.740242i | ||||
\(636\) | −28.8180 | + | 21.9899i | −1.14271 | + | 0.871957i | ||||
\(637\) | 6.40812 | − | 1.01495i | 0.253899 | − | 0.0402136i | ||||
\(638\) | 8.91887 | + | 6.32124i | 0.353101 | + | 0.250260i | ||||
\(639\) | −9.17597 | + | 6.66673i | −0.362996 | + | 0.263732i | ||||
\(640\) | −15.8074 | − | 19.7516i | −0.624843 | − | 0.780751i | ||||
\(641\) | −2.67467 | − | 1.94326i | −0.105643 | − | 0.0767541i | 0.533710 | − | 0.845668i | \(-0.320798\pi\) |
−0.639353 | + | 0.768914i | \(0.720798\pi\) | |||||||
\(642\) | −14.2107 | − | 42.0493i | −0.560853 | − | 1.65955i | ||||
\(643\) | −7.66154 | + | 7.66154i | −0.302142 | + | 0.302142i | −0.841851 | − | 0.539710i | \(-0.818534\pi\) |
0.539710 | + | 0.841851i | \(0.318534\pi\) | |||||||
\(644\) | 3.28361 | + | 9.35254i | 0.129393 | + | 0.368542i | ||||
\(645\) | −14.3784 | + | 9.68386i | −0.566150 | + | 0.381302i | ||||
\(646\) | −8.43131 | − | 16.0777i | −0.331725 | − | 0.632570i | ||||
\(647\) | 18.9305 | − | 9.64557i | 0.744234 | − | 0.379206i | −0.0403850 | − | 0.999184i | \(-0.512858\pi\) |
0.784619 | + | 0.619978i | \(0.212858\pi\) | |||||||
\(648\) | 43.8573 | − | 34.2882i | 1.72288 | − | 1.34697i | ||||
\(649\) | − | 64.4679i | − | 2.53059i | ||||||
\(650\) | 23.2199 | − | 39.5669i | 0.910758 | − | 1.55194i | ||||
\(651\) | − | 13.1296i | − | 0.514589i | ||||||
\(652\) | 4.46988 | − | 33.2602i | 0.175054 | − | 1.30257i | ||||
\(653\) | −3.14663 | + | 1.60329i | −0.123137 | + | 0.0627415i | −0.514474 | − | 0.857506i | \(-0.672013\pi\) |
0.391337 | + | 0.920248i | \(0.372013\pi\) | |||||||
\(654\) | −48.4057 | + | 25.3844i | −1.89281 | + | 0.992607i | ||||
\(655\) | 3.56456 | − | 9.77246i | 0.139279 | − | 0.381842i | ||||
\(656\) | −2.45056 | − | 6.48808i | −0.0956783 | − | 0.253317i | ||||
\(657\) | 12.0638 | − | 12.0638i | 0.470652 | − | 0.470652i | ||||
\(658\) | −6.04276 | + | 2.04218i | −0.235571 | + | 0.0796124i | ||||
\(659\) | −26.8795 | − | 19.5291i | −1.04708 | − | 0.760746i | −0.0754227 | − | 0.997152i | \(-0.524031\pi\) |
−0.971654 | + | 0.236406i | \(0.924031\pi\) | |||||||
\(660\) | 67.2084 | − | 9.81193i | 2.61608 | − | 0.381929i | ||||
\(661\) | 0.0680960 | − | 0.0494746i | 0.00264863 | − | 0.00192434i | −0.586460 | − | 0.809978i | \(-0.699479\pi\) |
0.589109 | + | 0.808054i | \(0.299479\pi\) | |||||||
\(662\) | 18.3580 | − | 25.9019i | 0.713502 | − | 1.00671i | ||||
\(663\) | −42.0747 | + | 6.66397i | −1.63404 | + | 0.258807i | ||||
\(664\) | 1.12444 | − | 9.18268i | 0.0436369 | − | 0.356357i | ||||
\(665\) | −5.85191 | − | 12.5722i | −0.226927 | − | 0.487530i | ||||
\(666\) | 1.67828 | + | 9.84638i | 0.0650321 | + | 0.381540i | ||||
\(667\) | 3.63255 | − | 7.12929i | 0.140653 | − | 0.276047i | ||||
\(668\) | −27.0780 | − | 25.8349i | −1.04768 | − | 0.999582i | ||||
\(669\) | 61.3663 | − | 19.9391i | 2.37256 | − | 0.770891i | ||||
\(670\) | −16.2193 | − | 8.75764i | −0.626608 | − | 0.338337i | ||||
\(671\) | 24.0167 | + | 7.80350i | 0.927155 | + | 0.301251i | ||||
\(672\) | −4.53378 | + | 17.3614i | −0.174894 | + | 0.669731i | ||||
\(673\) | 33.1922 | + | 5.25712i | 1.27946 | + | 0.202647i | 0.758918 | − | 0.651187i | \(-0.225728\pi\) |
0.520546 | + | 0.853834i | \(0.325728\pi\) | |||||||
\(674\) | −2.83931 | + | 2.90680i | −0.109366 | + | 0.111966i | ||||
\(675\) | −5.52542 | − | 64.1812i | −0.212674 | − | 2.47033i | ||||
\(676\) | 1.36666 | + | 58.1721i | 0.0525639 | + | 2.23739i | ||||
\(677\) | −4.48623 | + | 28.3250i | −0.172420 | + | 1.08862i | 0.737960 | + | 0.674844i | \(0.235789\pi\) |
−0.910380 | + | 0.413773i | \(0.864211\pi\) | |||||||
\(678\) | −3.10239 | + | 9.94405i | −0.119146 | + | 0.381899i | ||||
\(679\) | 3.22652 | − | 9.93022i | 0.123823 | − | 0.381087i | ||||
\(680\) | 9.25360 | + | 9.26038i | 0.354859 | + | 0.355120i | ||||
\(681\) | −2.22447 | − | 6.84622i | −0.0852419 | − | 0.262348i | ||||
\(682\) | −28.0255 | + | 0.329162i | −1.07315 | + | 0.0126043i | ||||
\(683\) | −10.3680 | − | 5.28278i | −0.396722 | − | 0.202140i | 0.244236 | − | 0.969716i | \(-0.421463\pi\) |
−0.640958 | + | 0.767576i | \(0.721463\pi\) | |||||||
\(684\) | −49.8050 | + | 72.0506i | −1.90434 | + | 2.75492i | ||||
\(685\) | −12.3146 | + | 22.1799i | −0.470518 | + | 0.847450i | ||||
\(686\) | −0.204812 | + | 1.39930i | −0.00781976 | + | 0.0534257i | ||||
\(687\) | 9.46820 | + | 59.7798i | 0.361234 | + | 2.28074i | ||||
\(688\) | −9.57344 | + | 1.98111i | −0.364984 | + | 0.0755291i | ||||
\(689\) | −21.7905 | − | 29.9921i | −0.830153 | − | 1.14261i | ||||
\(690\) | −14.2302 | − | 47.6336i | −0.541735 | − | 1.81338i | ||||
\(691\) | 24.5852 | − | 33.8386i | 0.935264 | − | 1.28728i | −0.0225069 | − | 0.999747i | \(-0.507165\pi\) |
0.957771 | − | 0.287533i | \(-0.0928352\pi\) | |||||||
\(692\) | 6.40914 | − | 13.3445i | 0.243639 | − | 0.507282i | ||||
\(693\) | −23.9081 | − | 23.9081i | −0.908195 | − | 0.908195i | ||||
\(694\) | 9.53993 | − | 19.2796i | 0.362131 | − | 0.731845i | ||||
\(695\) | 0.0735665 | − | 2.06559i | 0.00279053 | − | 0.0783523i | ||||
\(696\) | 12.6662 | − | 7.02638i | 0.480110 | − | 0.266334i | ||||
\(697\) | 1.62936 | + | 3.19779i | 0.0617163 | + | 0.121125i | ||||
\(698\) | −9.70838 | − | 13.0376i | −0.367468 | − | 0.493482i | ||||
\(699\) | −59.1585 | −2.23758 | ||||||||
\(700\) | 6.72578 | + | 7.40026i | 0.254211 | + | 0.279704i | ||||
\(701\) | 42.7530 | 1.61476 | 0.807379 | − | 0.590034i | \(-0.200885\pi\) | ||||
0.807379 | + | 0.590034i | \(0.200885\pi\) | |||||||
\(702\) | 70.6025 | + | 94.8140i | 2.66472 | + | 3.57852i | ||||
\(703\) | −2.81598 | − | 5.52668i | −0.106207 | − | 0.208443i | ||||
\(704\) | 37.1721 | + | 9.24223i | 1.40098 | + | 0.348330i | ||||
\(705\) | 30.7576 | − | 8.79653i | 1.15840 | − | 0.331296i | ||||
\(706\) | 19.1737 | − | 38.7490i | 0.721613 | − | 1.45834i | ||||
\(707\) | −11.3313 | − | 11.3313i | −0.426156 | − | 0.426156i | ||||
\(708\) | −76.9990 | − | 36.9813i | −2.89380 | − | 1.38984i | ||||
\(709\) | −16.3516 | + | 22.5061i | −0.614098 | + | 0.845233i | −0.996907 | − | 0.0785944i | \(-0.974957\pi\) |
0.382809 | + | 0.923828i | \(0.374957\pi\) | |||||||
\(710\) | −1.68430 | + | 4.79169i | −0.0632108 | + | 0.179829i | ||||
\(711\) | −1.30065 | − | 1.79019i | −0.0487782 | − | 0.0671375i | ||||
\(712\) | 13.2867 | − | 19.7122i | 0.497940 | − | 0.738747i | ||||
\(713\) | 3.20915 | + | 20.2618i | 0.120183 | + | 0.758809i | ||||
\(714\) | 1.34476 | − | 9.18760i | 0.0503265 | − | 0.343837i | ||||
\(715\) | 8.41749 | + | 68.9502i | 0.314796 | + | 2.57859i | ||||
\(716\) | −33.5292 | − | 23.1771i | −1.25305 | − | 0.866168i | ||||
\(717\) | −73.6358 | − | 37.5193i | −2.74998 | − | 1.40118i | ||||
\(718\) | 22.0348 | − | 0.258801i | 0.822331 | − | 0.00965835i | ||||
\(719\) | 13.6516 | + | 42.0152i | 0.509118 | + | 1.56690i | 0.793736 | + | 0.608262i | \(0.208133\pi\) |
−0.284618 | + | 0.958641i | \(0.591867\pi\) | |||||||
\(720\) | 18.8333 | − | 60.2884i | 0.701875 | − | 2.24682i | ||||
\(721\) | −1.33094 | + | 4.09620i | −0.0495667 | + | 0.152551i | ||||
\(722\) | 8.19684 | − | 26.2733i | 0.305055 | − | 0.977789i | ||||
\(723\) | −7.58269 | + | 47.8752i | −0.282003 | + | 1.78050i | ||||
\(724\) | −32.6225 | + | 0.766415i | −1.21241 | + | 0.0284836i | ||||
\(725\) | 0.574261 | − | 8.05179i | 0.0213275 | − | 0.299036i | ||||
\(726\) | −37.3788 | + | 38.2672i | −1.38726 | + | 1.42023i | ||||
\(727\) | −23.8231 | − | 3.77321i | −0.883549 | − | 0.139940i | −0.301861 | − | 0.953352i | \(-0.597608\pi\) |
−0.581689 | + | 0.813412i | \(0.697608\pi\) | |||||||
\(728\) | −17.6416 | − | 5.05240i | −0.653841 | − | 0.187255i | ||||
\(729\) | 15.5860 | + | 5.06420i | 0.577259 | + | 0.187563i | ||||
\(730\) | 1.37480 | − | 7.51521i | 0.0508837 | − | 0.278150i | ||||
\(731\) | 4.81144 | − | 1.56333i | 0.177957 | − | 0.0578219i | ||||
\(732\) | 23.0972 | − | 24.2086i | 0.853699 | − | 0.894777i | ||||
\(733\) | −1.10995 | + | 2.17840i | −0.0409969 | + | 0.0804610i | −0.910596 | − | 0.413297i | \(-0.864377\pi\) |
0.869599 | + | 0.493758i | \(0.164377\pi\) | |||||||
\(734\) | −3.28620 | − | 19.2799i | −0.121296 | − | 0.711635i | ||||
\(735\) | 1.35821 | − | 6.96159i | 0.0500982 | − | 0.256782i | ||||
\(736\) | 2.75309 | − | 27.9005i | 0.101480 | − | 1.02843i | ||||
\(737\) | 27.5652 | − | 4.36590i | 1.01538 | − | 0.160820i | ||||
\(738\) | 10.0126 | − | 14.1272i | 0.368570 | − | 0.520029i | ||||
\(739\) | 3.31825 | − | 2.41085i | 0.122064 | − | 0.0886845i | −0.525078 | − | 0.851054i | \(-0.675964\pi\) |
0.647142 | + | 0.762369i | \(0.275964\pi\) | |||||||
\(740\) | 3.12427 | + | 3.20088i | 0.114850 | + | 0.117667i | ||||
\(741\) | −103.256 | − | 75.0197i | −3.79320 | − | 2.75592i | ||||
\(742\) | 7.65542 | − | 2.58718i | 0.281039 | − | 0.0949785i | ||||
\(743\) | 2.80035 | − | 2.80035i | 0.102735 | − | 0.102735i | −0.653871 | − | 0.756606i | \(-0.726856\pi\) |
0.756606 | + | 0.653871i | \(0.226856\pi\) | |||||||
\(744\) | −15.6834 | + | 33.6619i | −0.574981 | + | 1.23410i | ||||
\(745\) | −37.1145 | − | 29.0385i | −1.35977 | − | 1.06389i | ||||
\(746\) | 14.6758 | − | 7.69611i | 0.537319 | − | 0.281775i | ||||
\(747\) | 20.5800 | − | 10.4860i | 0.752983 | − | 0.383664i | ||||
\(748\) | −19.6449 | − | 2.64010i | −0.718290 | − | 0.0965317i | ||||
\(749\) | 9.89446i | 0.361536i | ||||||||
\(750\) | −31.9381 | − | 38.6701i | −1.16621 | − | 1.41203i | ||||
\(751\) | − | 1.88935i | − | 0.0689432i | −0.999406 | − | 0.0344716i | \(-0.989025\pi\) | ||
0.999406 | − | 0.0344716i | \(-0.0109748\pi\) | |||||||
\(752\) | 17.9319 | + | 1.98235i | 0.653910 | + | 0.0722888i | ||||
\(753\) | 30.4615 | − | 15.5209i | 1.11008 | − | 0.565613i | ||||
\(754\) | 6.87961 | + | 13.1188i | 0.250541 | + | 0.477758i | ||||
\(755\) | −14.4470 | − | 11.3034i | −0.525781 | − | 0.411373i | ||||
\(756\) | −24.3125 | + | 8.53595i | −0.884237 | + | 0.310450i | ||||
\(757\) | 21.7904 | − | 21.7904i | 0.791984 | − | 0.791984i | −0.189832 | − | 0.981817i | \(-0.560794\pi\) |
0.981817 | + | 0.189832i | \(0.0607945\pi\) | |||||||
\(758\) | −5.30855 | − | 15.7079i | −0.192815 | − | 0.570536i | ||||
\(759\) | 60.8957 | + | 44.2433i | 2.21037 | + | 1.60593i | ||||
\(760\) | −0.0143766 | + | 39.2230i | −0.000521495 | + | 1.42277i | ||||
\(761\) | −33.2180 | + | 24.1343i | −1.20415 | + | 0.874867i | −0.994687 | − | 0.102950i | \(-0.967172\pi\) |
−0.209464 | + | 0.977816i | \(0.567172\pi\) | |||||||
\(762\) | −44.8006 | − | 31.7524i | −1.62295 | − | 1.15027i | ||||
\(763\) | 12.0343 | − | 1.90605i | 0.435672 | − | 0.0690036i | ||||
\(764\) | 7.35495 | + | 9.63875i | 0.266093 | + | 0.348718i | ||||
\(765\) | −6.25884 | + | 32.0801i | −0.226289 | + | 1.15986i | ||||
\(766\) | −19.8222 | + | 3.37863i | −0.716207 | + | 0.122075i | ||||
\(767\) | 39.6596 | − | 77.8363i | 1.43203 | − | 2.81051i | ||||
\(768\) | 32.3621 | − | 39.0958i | 1.16777 | − | 1.41075i | ||||
\(769\) | −21.8213 | + | 7.09017i | −0.786896 | + | 0.255678i | −0.674782 | − | 0.738017i | \(-0.735762\pi\) |
−0.112114 | + | 0.993695i | \(0.535762\pi\) | |||||||
\(770\) | −14.8938 | − | 2.72461i | −0.536734 | − | 0.0981880i | ||||
\(771\) | −0.768860 | − | 0.249818i | −0.0276898 | − | 0.00899696i | ||||
\(772\) | 2.60675 | − | 1.40628i | 0.0938189 | − | 0.0506131i | ||||
\(773\) | 27.8997 | + | 4.41887i | 1.00348 | + | 0.158936i | 0.636487 | − | 0.771287i | \(-0.280387\pi\) |
0.366994 | + | 0.930223i | \(0.380387\pi\) | |||||||
\(774\) | −17.4607 | − | 17.0554i | −0.627614 | − | 0.613042i | ||||
\(775\) | 10.9428 | + | 17.5664i | 0.393079 | + | 0.631003i | ||||
\(776\) | −20.1339 | + | 21.6052i | −0.722766 | + | 0.775580i | ||||
\(777\) | 0.496295 | − | 3.13348i | 0.0178045 | − | 0.112413i | ||||
\(778\) | 6.51057 | + | 2.03119i | 0.233415 | + | 0.0728218i | ||||
\(779\) | −3.32283 | + | 10.2266i | −0.119053 | + | 0.366406i | ||||
\(780\) | 87.1812 | + | 29.4989i | 3.12159 | + | 1.05623i | ||||
\(781\) | −2.37641 | − | 7.31384i | −0.0850346 | − | 0.261710i | ||||
\(782\) | 0.170387 | + | 14.5071i | 0.00609304 | + | 0.518773i | ||||
\(783\) | 18.5330 | + | 9.44305i | 0.662316 | + | 0.337467i | ||||
\(784\) | 2.19658 | − | 3.34291i | 0.0784492 | − | 0.119390i | ||||
\(785\) | 1.65815 | + | 13.5825i | 0.0591821 | + | 0.484779i | ||||
\(786\) | 20.6486 | + | 3.02227i | 0.736511 | + | 0.107801i | ||||
\(787\) | 1.29771 | + | 8.19343i | 0.0462584 | + | 0.292064i | 0.999962 | − | 0.00868309i | \(-0.00276395\pi\) |
−0.953704 | + | 0.300747i | \(0.902764\pi\) | |||||||
\(788\) | −6.68703 | + | 1.22076i | −0.238215 | + | 0.0434879i | ||||
\(789\) | 39.9168 | + | 54.9408i | 1.42108 | + | 1.95594i | ||||
\(790\) | −0.934839 | − | 0.328600i | −0.0332601 | − | 0.0116911i | ||||
\(791\) | 1.36490 | − | 1.87863i | 0.0485303 | − | 0.0667962i | ||||
\(792\) | 32.7376 | + | 89.8545i | 1.16328 | + | 3.19284i | ||||
\(793\) | 24.1964 | + | 24.1964i | 0.859238 | + | 0.859238i | ||||
\(794\) | 9.99586 | + | 4.94614i | 0.354740 | + | 0.175532i | ||||
\(795\) | −38.9661 | + | 11.1441i | −1.38198 | + | 0.395240i | ||||
\(796\) | 2.12560 | − | 7.10562i | 0.0753397 | − | 0.251852i | ||||
\(797\) | −10.5974 | − | 20.7985i | −0.375379 | − | 0.736722i | 0.623608 | − | 0.781737i | \(-0.285666\pi\) |
−0.998986 | + | 0.0450156i | \(0.985666\pi\) | |||||||
\(798\) | 22.3135 | − | 16.6155i | 0.789888 | − | 0.588184i | ||||
\(799\) | −9.33597 | −0.330283 | ||||||||
\(800\) | −8.40400 | − | 27.0069i | −0.297126 | − | 0.954838i | ||||
\(801\) | 59.3511 | 2.09707 | ||||||||
\(802\) | 26.2074 | − | 19.5151i | 0.925416 | − | 0.689103i | ||||
\(803\) | 5.25156 | + | 10.3068i | 0.185324 | + | 0.363718i | ||||
\(804\) | 10.5979 | − | 35.4277i | 0.373760 | − | 1.24944i | ||||
\(805\) | −0.394445 | + | 11.0752i | −0.0139024 | + | 0.390349i | ||||
\(806\) | −34.0395 | − | 16.8434i | −1.19899 | − | 0.593284i | ||||
\(807\) | −68.3892 | − | 68.3892i | −2.40742 | − | 2.40742i | ||||
\(808\) | 15.5160 | + | 42.5865i | 0.545851 | + | 1.49819i | ||||
\(809\) | −13.9776 | + | 19.2385i | −0.491427 | + | 0.676391i | −0.980650 | − | 0.195768i | \(-0.937280\pi\) |
0.489224 | + | 0.872158i | \(0.337280\pi\) | |||||||
\(810\) | 59.6365 | − | 17.8160i | 2.09541 | − | 0.625991i | ||||
\(811\) | 12.4619 | + | 17.1523i | 0.437595 | + | 0.602298i | 0.969675 | − | 0.244396i | \(-0.0785897\pi\) |
−0.532081 | + | 0.846694i | \(0.678590\pi\) | |||||||
\(812\) | −3.17640 | + | 0.579875i | −0.111470 | + | 0.0203496i | ||||
\(813\) | −1.79276 | − | 11.3190i | −0.0628749 | − | 0.396976i | ||||
\(814\) | −6.70096 | − | 0.980800i | −0.234868 | − | 0.0343770i | ||||
\(815\) | 18.2130 | − | 32.8034i | 0.637973 | − | 1.14905i | ||||
\(816\) | −14.4224 | + | 21.9490i | −0.504884 | + | 0.768369i | ||||
\(817\) | 13.5053 | + | 6.88131i | 0.472492 | + | 0.240747i | ||||
\(818\) | −0.0174807 | − | 1.48835i | −0.000611200 | − | 0.0520388i | ||||
\(819\) | −14.1580 | − | 43.5738i | −0.494720 | − | 1.52259i | ||||
\(820\) | 0.0939078 | − | 7.75349i | 0.00327940 | − | 0.270764i | ||||
\(821\) | 6.65400 | − | 20.4789i | 0.232226 | − | 0.714719i | −0.765251 | − | 0.643732i | \(-0.777385\pi\) |
0.997477 | − | 0.0709867i | \(-0.0226148\pi\) | |||||||
\(822\) | −48.5851 | − | 15.1578i | −1.69460 | − | 0.528688i | ||||
\(823\) | 3.41792 | − | 21.5799i | 0.119141 | − | 0.752228i | −0.853702 | − | 0.520762i | \(-0.825648\pi\) |
0.972843 | − | 0.231466i | \(-0.0743522\pi\) | |||||||
\(824\) | 8.30522 | − | 8.91210i | 0.289326 | − | 0.310468i | ||||
\(825\) | 73.9677 | + | 17.1849i | 2.57523 | + | 0.598302i | ||||
\(826\) | 13.6217 | + | 13.3055i | 0.473960 | + | 0.462956i | ||||
\(827\) | 25.5666 | + | 4.04935i | 0.889038 | + | 0.140810i | 0.584215 | − | 0.811599i | \(-0.301403\pi\) |
0.304823 | + | 0.952409i | \(0.401403\pi\) | |||||||
\(828\) | 61.6042 | − | 33.2340i | 2.14089 | − | 1.15496i | ||||
\(829\) | 25.1133 | + | 8.15980i | 0.872220 | + | 0.283401i | 0.710723 | − | 0.703472i | \(-0.248368\pi\) |
0.161497 | + | 0.986873i | \(0.448368\pi\) | |||||||
\(830\) | 4.91422 | − | 9.10126i | 0.170575 | − | 0.315909i | ||||
\(831\) | −52.0206 | + | 16.9025i | −1.80458 | + | 0.586342i | ||||
\(832\) | 39.1947 | + | 34.0264i | 1.35883 | + | 1.17965i | ||||
\(833\) | −0.939727 | + | 1.84432i | −0.0325596 | + | 0.0639018i | ||||
\(834\) | 4.08758 | − | 0.696714i | 0.141541 | − | 0.0241252i | ||||
\(835\) | −17.6573 | − | 37.9348i | −0.611054 | − | 1.31279i | ||||
\(836\) | −36.0258 | − | 47.2122i | −1.24598 | − | 1.63287i | ||||
\(837\) | −52.6717 | + | 8.34237i | −1.82060 | + | 0.288355i | ||||
\(838\) | −15.4213 | − | 10.9298i | −0.532720 | − | 0.377565i | ||||
\(839\) | 9.26651 | − | 6.73251i | 0.319915 | − | 0.232432i | −0.416224 | − | 0.909262i | \(-0.636647\pi\) |
0.736139 | + | 0.676830i | \(0.236647\pi\) | |||||||
\(840\) | −11.7979 | + | 16.2258i | −0.407065 | + | 0.559845i | ||||
\(841\) | −21.3528 | − | 15.5137i | −0.736305 | − | 0.534957i | ||||
\(842\) | 8.49629 | + | 25.1403i | 0.292801 | + | 0.866393i | ||||
\(843\) | −35.8559 | + | 35.8559i | −1.23494 | + | 1.23494i | ||||
\(844\) | 9.13052 | − | 3.20566i | 0.314286 | − | 0.110344i | ||||
\(845\) | −22.2930 | + | 61.1175i | −0.766902 | + | 2.10251i | ||||
\(846\) | 20.9191 | + | 39.8907i | 0.719212 | + | 1.37147i | ||||
\(847\) | 10.6251 | − | 5.41374i | 0.365081 | − | 0.186018i | ||||
\(848\) | −22.7175 | − | 2.51139i | −0.780122 | − | 0.0862414i | ||||
\(849\) | 97.1064i | 3.33268i | ||||||||
\(850\) | 5.85821 | + | 13.4131i | 0.200935 | + | 0.460065i | ||||
\(851\) | 4.95694i | 0.169922i | ||||||||
\(852\) | −10.0987 | − | 1.35717i | −0.345975 | − | 0.0464959i | ||||
\(853\) | 19.8817 | − | 10.1302i | 0.680737 | − | 0.346853i | −0.0791914 | − | 0.996859i | \(-0.525234\pi\) |
0.759929 | + | 0.650006i | \(0.225234\pi\) | |||||||
\(854\) | −6.60562 | + | 3.46405i | −0.226040 | + | 0.118537i | ||||
\(855\) | −81.2234 | + | 54.7040i | −2.77778 | + | 1.87084i | ||||
\(856\) | 11.8190 | − | 25.3676i | 0.403965 | − | 0.867046i | ||||
\(857\) | 25.3066 | − | 25.3066i | 0.864457 | − | 0.864457i | −0.127395 | − | 0.991852i | \(-0.540662\pi\) |
0.991852 | + | 0.127395i | \(0.0406615\pi\) | |||||||
\(858\) | −132.017 | + | 44.6157i | −4.50698 | + | 1.52315i | ||||
\(859\) | −8.16067 | − | 5.92908i | −0.278439 | − | 0.202297i | 0.439797 | − | 0.898097i | \(-0.355050\pi\) |
−0.718236 | + | 0.695800i | \(0.755050\pi\) | |||||||
\(860\) | −10.7741 | − | 1.84048i | −0.367395 | − | 0.0627599i | ||||
\(861\) | −4.44946 | + | 3.23272i | −0.151637 | + | 0.110171i | ||||
\(862\) | −13.6554 | + | 19.2669i | −0.465106 | + | 0.656234i | ||||
\(863\) | −9.34438 | + | 1.48000i | −0.318086 | + | 0.0503799i | −0.313436 | − | 0.949609i | \(-0.601480\pi\) |
−0.00465018 | + | 0.999989i | \(0.501480\pi\) | |||||||
\(864\) | 72.5291 | + | 7.15683i | 2.46749 | + | 0.243480i | ||||
\(865\) | 12.1126 | − | 11.2795i | 0.411840 | − | 0.383513i | ||||
\(866\) | 7.23614 | + | 42.4540i | 0.245894 | + | 1.44265i | ||||
\(867\) | −18.3110 | + | 35.9374i | −0.621874 | + | 1.22050i | ||||
\(868\) | 5.71461 | − | 5.98958i | 0.193966 | − | 0.203300i | ||||
\(869\) | 1.42690 | − | 0.463627i | 0.0484042 | − | 0.0157275i | ||||
\(870\) | 16.0507 | − | 2.15108i | 0.544170 | − | 0.0729285i | ||||
\(871\) | 35.9671 | + | 11.6864i | 1.21870 | + | 0.395979i | ||||
\(872\) | −33.1306 | − | 9.48832i | −1.12194 | − | 0.321315i | ||||
\(873\) | −72.8250 | − | 11.5343i | −2.46475 | − | 0.390379i | ||||
\(874\) | −30.3732 | + | 31.0952i | −1.02739 | + | 1.05181i | ||||
\(875\) | 3.98495 | + | 10.4461i | 0.134716 | + | 0.353141i | ||||
\(876\) | 15.3227 | − | 0.359982i | 0.517705 | − | 0.0121627i | ||||
\(877\) | −0.897709 | + | 5.66791i | −0.0303135 | + | 0.191392i | −0.998198 | − | 0.0600025i | \(-0.980889\pi\) |
0.967885 | + | 0.251394i | \(0.0808891\pi\) | |||||||
\(878\) | −9.22174 | + | 29.5584i | −0.311219 | + | 0.997547i | ||||
\(879\) | −18.0538 | + | 55.5637i | −0.608938 | + | 1.87412i | ||||
\(880\) | 34.9303 | + | 24.7761i | 1.17750 | + | 0.835202i | ||||
\(881\) | 0.132106 | + | 0.406581i | 0.00445078 | + | 0.0136981i | 0.953257 | − | 0.302160i | \(-0.0977077\pi\) |
−0.948806 | + | 0.315858i | \(0.897708\pi\) | |||||||
\(882\) | 9.98604 | − | 0.117287i | 0.336247 | − | 0.00394925i | ||||
\(883\) | −32.3838 | − | 16.5004i | −1.08980 | − | 0.555281i | −0.185703 | − | 0.982606i | \(-0.559456\pi\) |
−0.904098 | + | 0.427325i | \(0.859456\pi\) | |||||||
\(884\) | −22.0945 | − | 15.2728i | −0.743118 | − | 0.513680i | ||||
\(885\) | −65.0836 | − | 69.8907i | −2.18776 | − | 2.34935i | ||||
\(886\) | 2.77165 | − | 18.9363i | 0.0931154 | − | 0.636177i | ||||
\(887\) | 7.80291 | + | 49.2657i | 0.261996 | + | 1.65418i | 0.670860 | + | 0.741584i | \(0.265925\pi\) |
−0.408864 | + | 0.912595i | \(0.634075\pi\) | |||||||
\(888\) | −5.01538 | + | 7.44085i | −0.168305 | + | 0.249699i | ||||
\(889\) | 7.19505 | + | 9.90314i | 0.241314 | + | 0.332141i | ||||
\(890\) | 21.8685 | − | 15.1048i | 0.733034 | − | 0.506313i | ||||
\(891\) | −55.3920 | + | 76.2406i | −1.85570 | + | 2.55415i | ||||
\(892\) | 36.6731 | + | 17.6134i | 1.22790 | + | 0.589742i | ||||
\(893\) | −19.7788 | − | 19.7788i | −0.661874 | − | 0.661874i | ||||
\(894\) | 41.9277 | − | 84.7334i | 1.40227 | − | 2.83391i | ||||
\(895\) | −25.4569 | − | 37.7979i | −0.850929 | − | 1.26344i | ||||
\(896\) | −9.62475 | + | 5.94678i | −0.321540 | + | 0.198668i | ||||
\(897\) | 46.3056 | + | 90.8799i | 1.54610 | + | 3.03439i | ||||
\(898\) | −14.6696 | − | 19.7002i | −0.489531 | − | 0.657405i | ||||
\(899\) | −6.68252 | −0.222875 | ||||||||
\(900\) | 44.1850 | − | 55.0856i | 1.47283 | − | 1.83619i | ||||
\(901\) | 11.8275 | 0.394031 | ||||||||
\(902\) | 7.01189 | + | 9.41646i | 0.233470 | + | 0.313534i | ||||
\(903\) | 3.51962 | + | 6.90764i | 0.117126 | + | 0.229872i | ||||
\(904\) | −5.74339 | + | 3.18607i | −0.191022 | + | 0.105967i | ||||
\(905\) | −34.2743 | − | 12.5018i | −1.13932 | − | 0.415572i | ||||
\(906\) | 16.3206 | − | 32.9829i | 0.542215 | − | 1.09579i | ||||
\(907\) | 18.8483 | + | 18.8483i | 0.625847 | + | 0.625847i | 0.947020 | − | 0.321173i | \(-0.104077\pi\) |
−0.321173 | + | 0.947020i | \(0.604077\pi\) | |||||||
\(908\) | 1.96501 | − | 4.09136i | 0.0652112 | − | 0.135777i | ||||
\(909\) | −66.5150 | + | 91.5501i | −2.20616 | + | 3.03652i | ||||
\(910\) | −16.3061 | − | 12.4520i | −0.540542 | − | 0.412780i | ||||
\(911\) | −17.3124 | − | 23.8285i | −0.573585 | − | 0.789472i | 0.419389 | − | 0.907807i | \(-0.362244\pi\) |
−0.992974 | + | 0.118335i | \(0.962244\pi\) | |||||||
\(912\) | −77.0550 | + | 15.9456i | −2.55155 | + | 0.528012i | ||||
\(913\) | 2.44986 | + | 15.4678i | 0.0810786 | + | 0.511910i | ||||
\(914\) | −2.41320 | + | 16.4873i | −0.0798216 | + | 0.545352i | ||||
\(915\) | 33.9149 | − | 15.7862i | 1.12119 | − | 0.521874i | ||||
\(916\) | −21.6997 | + | 31.3919i | −0.716977 | + | 1.03722i | ||||
\(917\) | −4.14499 | − | 2.11198i | −0.136880 | − | 0.0697437i | ||||
\(918\) | −37.7121 | + | 0.442932i | −1.24469 | + | 0.0146189i | ||||
\(919\) | −11.9201 | − | 36.6862i | −0.393206 | − | 1.21016i | −0.930350 | − | 0.366674i | \(-0.880497\pi\) |
0.537143 | − | 0.843491i | \(-0.319503\pi\) | |||||||
\(920\) | 14.2407 | − | 27.9236i | 0.469501 | − | 0.920613i | ||||
\(921\) | −5.44912 | + | 16.7707i | −0.179555 | + | 0.552612i | ||||
\(922\) | 6.32183 | − | 20.2633i | 0.208198 | − | 0.667337i | ||||
\(923\) | 1.63016 | − | 10.2924i | 0.0536573 | − | 0.338779i | ||||
\(924\) | −0.713418 | − | 30.3667i | −0.0234697 | − | 0.998992i | ||||
\(925\) | 1.94759 | + | 4.60600i | 0.0640365 | + | 0.151444i | ||||
\(926\) | −5.13680 | + | 5.25890i | −0.168806 | + | 0.172818i | ||||
\(927\) | 30.0402 | + | 4.75790i | 0.986650 | + | 0.156270i | ||||
\(928\) | 8.83637 | + | 2.30754i | 0.290068 | + | 0.0757487i | ||||
\(929\) | −6.91506 | − | 2.24684i | −0.226876 | − | 0.0737164i | 0.193373 | − | 0.981125i | \(-0.438057\pi\) |
−0.420249 | + | 0.907409i | \(0.638057\pi\) | |||||||
\(930\) | −30.0506 | + | 28.6500i | −0.985398 | + | 0.939471i | ||||
\(931\) | −5.89817 | + | 1.91643i | −0.193305 | + | 0.0628085i | ||||
\(932\) | −26.9874 | − | 25.7485i | −0.884003 | − | 0.843420i | ||||
\(933\) | 28.2782 | − | 55.4991i | 0.925787 | − | 1.81696i | ||||
\(934\) | 8.93090 | + | 52.3971i | 0.292228 | + | 1.71448i | ||||
\(935\) | −19.3751 | − | 10.7574i | −0.633635 | − | 0.351804i | ||||
\(936\) | −15.7507 | + | 128.627i | −0.514828 | + | 4.20430i | ||||
\(937\) | −19.8676 | + | 3.14671i | −0.649045 | + | 0.102799i | −0.472272 | − | 0.881453i | \(-0.656566\pi\) |
−0.176773 | + | 0.984252i | \(0.556566\pi\) | |||||||
\(938\) | −4.76666 | + | 6.72545i | −0.155637 | + | 0.219594i | ||||
\(939\) | 52.6176 | − | 38.2290i | 1.71711 | − | 1.24755i | ||||
\(940\) | 17.8600 | + | 9.37427i | 0.582528 | + | 0.305755i | ||||
\(941\) | 2.10450 | + | 1.52901i | 0.0686047 | + | 0.0498442i | 0.621559 | − | 0.783367i | \(-0.286500\pi\) |
−0.552954 | + | 0.833212i | \(0.686500\pi\) | |||||||
\(942\) | −26.0059 | + | 8.78881i | −0.847318 | + | 0.286355i | ||||
\(943\) | 6.07632 | − | 6.07632i | 0.197872 | − | 0.197872i | ||||
\(944\) | −19.0301 | − | 50.3840i | −0.619378 | − | 1.63986i | ||||
\(945\) | −28.7906 | − | 1.02538i | −0.936559 | − | 0.0333557i | ||||
\(946\) | 14.6563 | − | 7.68591i | 0.476519 | − | 0.249891i | ||||
\(947\) | 0.269663 | − | 0.137400i | 0.00876288 | − | 0.00446491i | −0.449604 | − | 0.893228i | \(-0.648435\pi\) |
0.458366 | + | 0.888763i | \(0.348435\pi\) | |||||||
\(948\) | 0.264778 | − | 1.97021i | 0.00859960 | − | 0.0639894i | ||||
\(949\) | 15.6747i | 0.508823i | ||||||||
\(950\) | −16.0055 | + | 40.8275i | −0.519287 | + | 1.32462i | ||||
\(951\) | 3.40413i | 0.110387i | ||||||||
\(952\) | 4.61234 | − | 3.60598i | 0.149487 | − | 0.116871i | ||||
\(953\) | 26.1586 | − | 13.3285i | 0.847359 | − | 0.431751i | 0.0242986 | − | 0.999705i | \(-0.492265\pi\) |
0.823060 | + | 0.567954i | \(0.192265\pi\) | |||||||
\(954\) | −26.5018 | − | 50.5365i | −0.858028 | − | 1.63618i | ||||
\(955\) | 3.72736 | + | 13.0329i | 0.120614 | + | 0.421736i | ||||
\(956\) | −17.2617 | − | 49.1656i | −0.558284 | − | 1.59013i | ||||
\(957\) | −17.3379 | + | 17.3379i | −0.560456 | + | 0.560456i | ||||
\(958\) | −8.90522 | − | 26.3504i | −0.287715 | − | 0.851342i | ||||
\(959\) | 9.17867 | + | 6.66869i | 0.296395 | + | 0.215343i | ||||
\(960\) | 49.6294 | − | 27.5075i | 1.60178 | − | 0.887800i | ||||
\(961\) | −11.2187 | + | 8.15085i | −0.361893 | + | 0.262931i | ||||
\(962\) | −7.48714 | − | 5.30650i | −0.241395 | − | 0.171089i | ||||
\(963\) | 69.0113 | − | 10.9303i | 2.22386 | − | 0.352225i | ||||
\(964\) | −24.2967 | + | 18.5398i | −0.782543 | + | 0.597128i | ||||
\(965\) | 3.28708 | − | 0.401289i | 0.105815 | − | 0.0129179i | ||||
\(966\) | −21.9166 | + | 3.73561i | −0.705154 | + | 0.120191i | ||||
\(967\) | 13.4398 | − | 26.3772i | 0.432196 | − | 0.848232i | −0.567495 | − | 0.823377i | \(-0.692087\pi\) |
0.999691 | − | 0.0248557i | \(-0.00791262\pi\) | |||||||
\(968\) | −33.7075 | + | 1.18813i | −1.08340 | + | 0.0381879i | ||||
\(969\) | 38.7264 | − | 12.5830i | 1.24407 | − | 0.404224i | ||||
\(970\) | −29.7686 | + | 14.2839i | −0.955811 | + | 0.458629i | ||||
\(971\) | −14.1321 | − | 4.59180i | −0.453521 | − | 0.147358i | 0.0733446 | − | 0.997307i | \(-0.476633\pi\) |
−0.526865 | + | 0.849949i | \(0.676633\pi\) | |||||||
\(972\) | 22.5825 | + | 41.8599i | 0.724333 | + | 1.34266i | ||||
\(973\) | −0.912966 | − | 0.144600i | −0.0292683 | − | 0.00463565i | ||||
\(974\) | 7.22969 | + | 7.06184i | 0.231654 | + | 0.226276i | ||||
\(975\) | 78.7342 | + | 66.2522i | 2.52151 | + | 2.12177i | ||||
\(976\) | 21.0734 | − | 0.990720i | 0.674544 | − | 0.0317122i | ||||
\(977\) | −2.44688 | + | 15.4490i | −0.0782826 | + | 0.494257i | 0.917131 | + | 0.398587i | \(0.130499\pi\) |
−0.995413 | + | 0.0956697i | \(0.969501\pi\) | |||||||
\(978\) | 71.8560 | + | 22.4179i | 2.29770 | + | 0.716846i | ||||
\(979\) | −12.4353 | + | 38.2719i | −0.397433 | + | 1.22317i | ||||
\(980\) | 3.64960 | − | 2.58465i | 0.116582 | − | 0.0825635i | ||||
\(981\) | −26.5884 | − | 81.8307i | −0.848902 | − | 2.61265i | ||||
\(982\) | −0.0777647 | − | 6.62104i | −0.00248157 | − | 0.211286i | ||||
\(983\) | −20.5248 | − | 10.4579i | −0.654639 | − | 0.333555i | 0.0949274 | − | 0.995484i | \(-0.469738\pi\) |
−0.749567 | + | 0.661929i | \(0.769738\pi\) | |||||||
\(984\) | 15.2691 | − | 2.97320i | 0.486761 | − | 0.0947820i | ||||
\(985\) | −7.45924 | − | 1.45530i | −0.237671 | − | 0.0463697i | ||||
\(986\) | −4.67618 | − | 0.684439i | −0.148920 | − | 0.0217970i | ||||
\(987\) | −2.23806 | − | 14.1306i | −0.0712384 | − | 0.449781i | ||||
\(988\) | −14.4521 | − | 79.1649i | −0.459783 | − | 2.51857i | ||||
\(989\) | −7.11989 | − | 9.79969i | −0.226399 | − | 0.311612i | ||||
\(990\) | −2.55041 | + | 106.890i | −0.0810574 | + | 3.39719i | ||||
\(991\) | 10.7889 | − | 14.8496i | 0.342720 | − | 0.471714i | −0.602513 | − | 0.798109i | \(-0.705834\pi\) |
0.945234 | + | 0.326395i | \(0.105834\pi\) | |||||||
\(992\) | −21.8058 | + | 8.53004i | −0.692335 | + | 0.270829i | ||||
\(993\) | 50.3522 | + | 50.3522i | 1.59788 | + | 1.59788i | ||||
\(994\) | 2.03584 | + | 1.00737i | 0.0645729 | + | 0.0319519i | ||||
\(995\) | 5.10970 | − | 6.53077i | 0.161988 | − | 0.207039i | ||||
\(996\) | 19.8797 | + | 5.94688i | 0.629914 | + | 0.188434i | ||||
\(997\) | 16.0047 | + | 31.4111i | 0.506875 | + | 0.994798i | 0.992685 | + | 0.120734i | \(0.0385247\pi\) |
−0.485810 | + | 0.874064i | \(0.661475\pi\) | |||||||
\(998\) | −42.4651 | + | 31.6213i | −1.34421 | + | 1.00095i | ||||
\(999\) | −12.8859 | −0.407690 |
(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 | 700.2.bj.a.323.17 | ✓ | 720 | |
4.3 | odd | 2 | inner | 700.2.bj.a.323.65 | yes | 720 | |
25.12 | odd | 20 | inner | 700.2.bj.a.687.65 | yes | 720 | |
100.87 | even | 20 | inner | 700.2.bj.a.687.17 | yes | 720 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
700.2.bj.a.323.17 | ✓ | 720 | 1.1 | even | 1 | trivial | |
700.2.bj.a.323.65 | yes | 720 | 4.3 | odd | 2 | inner | |
700.2.bj.a.687.17 | yes | 720 | 100.87 | even | 20 | inner | |
700.2.bj.a.687.65 | yes | 720 | 25.12 | odd | 20 | inner |