Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 13.14 | ||
Character | \(\chi\) | \(=\) | 144.13 |
Dual form | 144.2.x.e.133.14 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.06791 | + | 0.927124i | 0.755129 | + | 0.655576i | ||||
\(3\) | 1.71768 | − | 0.222657i | 0.991703 | − | 0.128551i | ||||
\(4\) | 0.280882 | + | 1.98018i | 0.140441 | + | 0.990089i | ||||
\(5\) | −0.798307 | − | 2.97932i | −0.357014 | − | 1.33239i | −0.877932 | − | 0.478786i | \(-0.841077\pi\) |
0.520918 | − | 0.853607i | \(-0.325590\pi\) | |||||||
\(6\) | 2.04077 | + | 1.35472i | 0.833139 | + | 0.553064i | ||||
\(7\) | −1.78208 | + | 1.02889i | −0.673564 | + | 0.388882i | −0.797426 | − | 0.603417i | \(-0.793805\pi\) |
0.123862 | + | 0.992299i | \(0.460472\pi\) | |||||||
\(8\) | −1.53591 | + | 2.37507i | −0.543027 | + | 0.839715i | ||||
\(9\) | 2.90085 | − | 0.764906i | 0.966949 | − | 0.254969i | ||||
\(10\) | 1.90968 | − | 3.92179i | 0.603893 | − | 1.24018i | ||||
\(11\) | −0.446347 | − | 0.119598i | −0.134579 | − | 0.0360602i | 0.190901 | − | 0.981609i | \(-0.438859\pi\) |
−0.325480 | + | 0.945549i | \(0.605526\pi\) | |||||||
\(12\) | 0.923366 | + | 3.33877i | 0.266553 | + | 0.963820i | ||||
\(13\) | −5.67550 | + | 1.52075i | −1.57410 | + | 0.421779i | −0.937094 | − | 0.349078i | \(-0.886495\pi\) |
−0.637008 | + | 0.770857i | \(0.719828\pi\) | |||||||
\(14\) | −2.85702 | − | 0.553449i | −0.763570 | − | 0.147916i | ||||
\(15\) | −2.03460 | − | 4.93977i | −0.525332 | − | 1.27544i | ||||
\(16\) | −3.84221 | + | 1.11239i | −0.960553 | + | 0.278098i | ||||
\(17\) | 0.0443921 | 0.0107667 | 0.00538333 | − | 0.999986i | \(-0.498286\pi\) | ||||
0.00538333 | + | 0.999986i | \(0.498286\pi\) | |||||||
\(18\) | 3.80702 | + | 1.87259i | 0.897323 | + | 0.441374i | ||||
\(19\) | −1.10726 | − | 1.10726i | −0.254023 | − | 0.254023i | 0.568595 | − | 0.822618i | \(-0.307487\pi\) |
−0.822618 | + | 0.568595i | \(0.807487\pi\) | |||||||
\(20\) | 5.67536 | − | 2.41763i | 1.26905 | − | 0.540598i | ||||
\(21\) | −2.83196 | + | 2.16409i | −0.617984 | + | 0.472243i | ||||
\(22\) | −0.365778 | − | 0.541540i | −0.0779841 | − | 0.115457i | ||||
\(23\) | 7.89263 | + | 4.55681i | 1.64573 | + | 0.950161i | 0.978743 | + | 0.205089i | \(0.0657485\pi\) |
0.666984 | + | 0.745072i | \(0.267585\pi\) | |||||||
\(24\) | −2.10938 | + | 4.42160i | −0.430575 | + | 0.902555i | ||||
\(25\) | −3.90893 | + | 2.25682i | −0.781786 | + | 0.451364i | ||||
\(26\) | −7.47087 | − | 3.63787i | −1.46516 | − | 0.713445i | ||||
\(27\) | 4.81242 | − | 1.95976i | 0.926150 | − | 0.377155i | ||||
\(28\) | −2.53793 | − | 3.23984i | −0.479624 | − | 0.612273i | ||||
\(29\) | 1.86402 | − | 6.95662i | 0.346140 | − | 1.29181i | −0.545134 | − | 0.838349i | \(-0.683521\pi\) |
0.891275 | − | 0.453464i | \(-0.149812\pi\) | |||||||
\(30\) | 2.40700 | − | 7.16158i | 0.439456 | − | 1.30752i | ||||
\(31\) | 0.542236 | − | 0.939180i | 0.0973884 | − | 0.168682i | −0.813214 | − | 0.581964i | \(-0.802284\pi\) |
0.910603 | + | 0.413282i | \(0.135618\pi\) | |||||||
\(32\) | −5.13448 | − | 2.37426i | −0.907656 | − | 0.419715i | ||||
\(33\) | −0.793310 | − | 0.106049i | −0.138098 | − | 0.0184608i | ||||
\(34\) | 0.0474070 | + | 0.0411570i | 0.00813023 | + | 0.00705836i | ||||
\(35\) | 4.48803 | + | 4.48803i | 0.758615 | + | 0.758615i | ||||
\(36\) | 2.32945 | + | 5.52935i | 0.388241 | + | 0.921558i | ||||
\(37\) | −0.769054 | + | 0.769054i | −0.126432 | + | 0.126432i | −0.767491 | − | 0.641060i | \(-0.778495\pi\) |
0.641060 | + | 0.767491i | \(0.278495\pi\) | |||||||
\(38\) | −0.155892 | − | 2.20903i | −0.0252890 | − | 0.358352i | ||||
\(39\) | −9.41009 | + | 3.87585i | −1.50682 | + | 0.620632i | ||||
\(40\) | 8.30223 | + | 2.67994i | 1.31270 | + | 0.423736i | ||||
\(41\) | −5.77193 | − | 3.33242i | −0.901423 | − | 0.520437i | −0.0237617 | − | 0.999718i | \(-0.507564\pi\) |
−0.877662 | + | 0.479281i | \(0.840898\pi\) | |||||||
\(42\) | −5.03067 | − | 0.314515i | −0.776249 | − | 0.0485307i | ||||
\(43\) | 11.0600 | + | 2.96351i | 1.68663 | + | 0.451932i | 0.969517 | − | 0.245023i | \(-0.0787956\pi\) |
0.717115 | + | 0.696955i | \(0.245462\pi\) | |||||||
\(44\) | 0.111455 | − | 0.917439i | 0.0168025 | − | 0.138309i | ||||
\(45\) | −4.59467 | − | 8.03193i | −0.684932 | − | 1.19733i | ||||
\(46\) | 4.20392 | + | 12.1837i | 0.619835 | + | 1.79639i | ||||
\(47\) | −1.22453 | − | 2.12095i | −0.178617 | − | 0.309373i | 0.762790 | − | 0.646646i | \(-0.223829\pi\) |
−0.941407 | + | 0.337273i | \(0.890496\pi\) | |||||||
\(48\) | −6.35201 | + | 2.76623i | −0.916833 | + | 0.399271i | ||||
\(49\) | −1.38279 | + | 2.39506i | −0.197541 | + | 0.342151i | ||||
\(50\) | −6.26676 | − | 1.21397i | −0.886253 | − | 0.171681i | ||||
\(51\) | 0.0762514 | − | 0.00988420i | 0.0106773 | − | 0.00138406i | ||||
\(52\) | −4.60550 | − | 10.8114i | −0.638668 | − | 1.49927i | ||||
\(53\) | 2.44801 | − | 2.44801i | 0.336260 | − | 0.336260i | −0.518698 | − | 0.854958i | \(-0.673583\pi\) |
0.854958 | + | 0.518698i | \(0.173583\pi\) | |||||||
\(54\) | 6.95619 | + | 2.36885i | 0.946617 | + | 0.322360i | ||||
\(55\) | 1.42529i | 0.192186i | ||||||||
\(56\) | 0.293444 | − | 5.81285i | 0.0392131 | − | 0.776775i | ||||
\(57\) | −2.14846 | − | 1.65538i | −0.284570 | − | 0.219260i | ||||
\(58\) | 8.44027 | − | 5.70090i | 1.10826 | − | 0.748565i | ||||
\(59\) | −0.962265 | − | 3.59122i | −0.125276 | − | 0.467537i | 0.874573 | − | 0.484894i | \(-0.161142\pi\) |
−0.999849 | + | 0.0173563i | \(0.994475\pi\) | |||||||
\(60\) | 9.21014 | − | 5.41637i | 1.18902 | − | 0.699250i | ||||
\(61\) | 0.318210 | − | 1.18758i | 0.0407426 | − | 0.152054i | −0.942558 | − | 0.334043i | \(-0.891587\pi\) |
0.983301 | + | 0.181989i | \(0.0582536\pi\) | |||||||
\(62\) | 1.44980 | − | 0.500244i | 0.184124 | − | 0.0635310i | ||||
\(63\) | −4.38255 | + | 4.34777i | −0.552149 | + | 0.547767i | ||||
\(64\) | −3.28195 | − | 7.29581i | −0.410243 | − | 0.911976i | ||||
\(65\) | 9.06158 | + | 15.6951i | 1.12395 | + | 1.94674i | ||||
\(66\) | −0.748867 | − | 0.848749i | −0.0921791 | − | 0.104474i | ||||
\(67\) | −5.52723 | + | 1.48102i | −0.675258 | + | 0.180935i | −0.580122 | − | 0.814529i | \(-0.696995\pi\) |
−0.0951361 | + | 0.995464i | \(0.530329\pi\) | |||||||
\(68\) | 0.0124689 | + | 0.0879043i | 0.00151208 | + | 0.0106600i | ||||
\(69\) | 14.5716 | + | 6.06980i | 1.75422 | + | 0.730718i | ||||
\(70\) | 0.631871 | + | 8.95379i | 0.0755230 | + | 1.07018i | ||||
\(71\) | 6.88571i | 0.817184i | 0.912717 | + | 0.408592i | \(0.133980\pi\) | ||||
−0.912717 | + | 0.408592i | \(0.866020\pi\) | |||||||
\(72\) | −2.63874 | + | 8.06455i | −0.310979 | + | 0.950417i | ||||
\(73\) | 13.1963i | 1.54451i | 0.635312 | + | 0.772255i | \(0.280871\pi\) | ||||
−0.635312 | + | 0.772255i | \(0.719129\pi\) | |||||||
\(74\) | −1.53429 | + | 0.108275i | −0.178358 | + | 0.0125868i | ||||
\(75\) | −6.21180 | + | 4.74685i | −0.717276 | + | 0.548119i | ||||
\(76\) | 1.88156 | − | 2.50358i | 0.215830 | − | 0.287181i | ||||
\(77\) | 0.918480 | − | 0.246106i | 0.104670 | − | 0.0280464i | ||||
\(78\) | −13.6426 | − | 4.58525i | −1.54472 | − | 0.519178i | ||||
\(79\) | 3.46441 | + | 6.00054i | 0.389777 | + | 0.675113i | 0.992419 | − | 0.122898i | \(-0.0392188\pi\) |
−0.602643 | + | 0.798011i | \(0.705885\pi\) | |||||||
\(80\) | 6.38144 | + | 10.5591i | 0.713466 | + | 1.18055i | ||||
\(81\) | 7.82984 | − | 4.43775i | 0.869982 | − | 0.493084i | ||||
\(82\) | −3.07435 | − | 8.91003i | −0.339506 | − | 0.983949i | ||||
\(83\) | 0.157584 | − | 0.588112i | 0.0172971 | − | 0.0645537i | −0.956738 | − | 0.290951i | \(-0.906028\pi\) |
0.974035 | + | 0.226398i | \(0.0726949\pi\) | |||||||
\(84\) | −5.08073 | − | 4.99993i | −0.554353 | − | 0.545537i | ||||
\(85\) | −0.0354385 | − | 0.132258i | −0.00384385 | − | 0.0143454i | ||||
\(86\) | 9.06357 | + | 13.4188i | 0.977350 | + | 1.44698i | ||||
\(87\) | 1.65285 | − | 12.3643i | 0.177205 | − | 1.32559i | ||||
\(88\) | 0.969604 | − | 0.876414i | 0.103360 | − | 0.0934260i | ||||
\(89\) | 5.30004i | 0.561803i | 0.959737 | + | 0.280902i | \(0.0906335\pi\) | ||||
−0.959737 | + | 0.280902i | \(0.909367\pi\) | |||||||
\(90\) | 2.53988 | − | 12.8372i | 0.267727 | − | 1.35316i | ||||
\(91\) | 8.54954 | − | 8.54954i | 0.896235 | − | 0.896235i | ||||
\(92\) | −6.80640 | + | 16.9087i | −0.709616 | + | 1.76286i | ||||
\(93\) | 0.722273 | − | 1.73394i | 0.0748962 | − | 0.179802i | ||||
\(94\) | 0.658691 | − | 3.40029i | 0.0679388 | − | 0.350713i | ||||
\(95\) | −2.41495 | + | 4.18282i | −0.247769 | + | 0.429148i | ||||
\(96\) | −9.34804 | − | 2.93500i | −0.954080 | − | 0.299552i | ||||
\(97\) | −5.88304 | − | 10.1897i | −0.597333 | − | 1.03461i | −0.993213 | − | 0.116309i | \(-0.962894\pi\) |
0.395880 | − | 0.918302i | \(-0.370439\pi\) | |||||||
\(98\) | −3.69722 | + | 1.27570i | −0.373475 | + | 0.128865i | ||||
\(99\) | −1.38627 | − | 0.00552307i | −0.139325 | − | 0.000555089i | ||||
\(100\) | −5.56686 | − | 7.10648i | −0.556686 | − | 0.710648i | ||||
\(101\) | −5.65271 | − | 1.51464i | −0.562466 | − | 0.150712i | −0.0336269 | − | 0.999434i | \(-0.510706\pi\) |
−0.528839 | + | 0.848722i | \(0.677372\pi\) | |||||||
\(102\) | 0.0905939 | + | 0.0601390i | 0.00897013 | + | 0.00595465i | ||||
\(103\) | −1.13680 | − | 0.656334i | −0.112013 | − | 0.0646705i | 0.442947 | − | 0.896548i | \(-0.353933\pi\) |
−0.554960 | + | 0.831877i | \(0.687266\pi\) | |||||||
\(104\) | 5.10519 | − | 15.8155i | 0.500605 | − | 1.55083i | ||||
\(105\) | 8.70829 | + | 6.70971i | 0.849842 | + | 0.654800i | ||||
\(106\) | 4.88387 | − | 0.344656i | 0.474364 | − | 0.0334760i | ||||
\(107\) | −2.92966 | + | 2.92966i | −0.283221 | + | 0.283221i | −0.834392 | − | 0.551171i | \(-0.814181\pi\) |
0.551171 | + | 0.834392i | \(0.314181\pi\) | |||||||
\(108\) | 5.23239 | + | 8.97898i | 0.503487 | + | 0.864003i | ||||
\(109\) | 11.5193 | + | 11.5193i | 1.10335 | + | 1.10335i | 0.994004 | + | 0.109344i | \(0.0348750\pi\) |
0.109344 | + | 0.994004i | \(0.465125\pi\) | |||||||
\(110\) | −1.32142 | + | 1.52208i | −0.125992 | + | 0.145125i | ||||
\(111\) | −1.14975 | + | 1.49222i | −0.109130 | + | 0.141636i | ||||
\(112\) | 5.70261 | − | 5.93557i | 0.538846 | − | 0.560859i | ||||
\(113\) | 3.79250 | − | 6.56880i | 0.356768 | − | 0.617941i | −0.630651 | − | 0.776067i | \(-0.717212\pi\) |
0.987419 | + | 0.158126i | \(0.0505452\pi\) | |||||||
\(114\) | −0.759627 | − | 3.75969i | −0.0711456 | − | 0.352127i | ||||
\(115\) | 7.27547 | − | 27.1524i | 0.678441 | − | 2.53198i | ||||
\(116\) | 14.2989 | + | 1.73710i | 1.32762 | + | 0.161286i | ||||
\(117\) | −15.3005 | + | 8.75268i | −1.41454 | + | 0.809186i | ||||
\(118\) | 2.30189 | − | 4.72726i | 0.211906 | − | 0.435179i | ||||
\(119\) | −0.0791104 | + | 0.0456744i | −0.00725204 | + | 0.00418696i | ||||
\(120\) | 14.8573 | + | 2.75473i | 1.35628 | + | 0.251471i | ||||
\(121\) | −9.34136 | − | 5.39324i | −0.849214 | − | 0.490294i | ||||
\(122\) | 1.44085 | − | 0.973209i | 0.130449 | − | 0.0881102i | ||||
\(123\) | −10.6563 | − | 4.43888i | −0.960847 | − | 0.400240i | ||||
\(124\) | 2.01205 | + | 0.809925i | 0.180687 | + | 0.0727334i | ||||
\(125\) | −1.06075 | − | 1.06075i | −0.0948761 | − | 0.0948761i | ||||
\(126\) | −8.71111 | + | 0.579876i | −0.776047 | + | 0.0516594i | ||||
\(127\) | −10.6374 | −0.943915 | −0.471958 | − | 0.881621i | \(-0.656452\pi\) | ||||
−0.471958 | + | 0.881621i | \(0.656452\pi\) | |||||||
\(128\) | 3.25928 | − | 10.8341i | 0.288083 | − | 0.957606i | ||||
\(129\) | 19.6574 | + | 2.62779i | 1.73073 | + | 0.231364i | ||||
\(130\) | −4.87433 | + | 25.1623i | −0.427507 | + | 2.20688i | ||||
\(131\) | −18.5982 | + | 4.98338i | −1.62493 | + | 0.435400i | −0.952446 | − | 0.304708i | \(-0.901441\pi\) |
−0.672488 | + | 0.740108i | \(0.734774\pi\) | |||||||
\(132\) | −0.0128300 | − | 1.60068i | −0.00111671 | − | 0.139322i | ||||
\(133\) | 3.11247 | + | 0.833985i | 0.269886 | + | 0.0723157i | ||||
\(134\) | −7.27569 | − | 3.54283i | −0.628524 | − | 0.306054i | ||||
\(135\) | −9.68053 | − | 12.7732i | −0.833167 | − | 1.09935i | ||||
\(136\) | −0.0681824 | + | 0.105434i | −0.00584659 | + | 0.00904093i | ||||
\(137\) | 8.30213 | − | 4.79324i | 0.709299 | − | 0.409514i | −0.101502 | − | 0.994835i | \(-0.532365\pi\) |
0.810802 | + | 0.585321i | \(0.199032\pi\) | |||||||
\(138\) | 9.93379 | + | 19.9917i | 0.845620 | + | 1.70181i | ||||
\(139\) | −1.82598 | − | 6.81465i | −0.154878 | − | 0.578011i | −0.999116 | − | 0.0420428i | \(-0.986613\pi\) |
0.844238 | − | 0.535968i | \(-0.180053\pi\) | |||||||
\(140\) | −7.62649 | + | 10.1477i | −0.644556 | + | 0.857637i | ||||
\(141\) | −2.57560 | − | 3.37047i | −0.216905 | − | 0.283845i | ||||
\(142\) | −6.38391 | + | 7.35335i | −0.535726 | + | 0.617080i | ||||
\(143\) | 2.71512 | 0.227050 | ||||||||
\(144\) | −10.2948 | + | 6.16581i | −0.857899 | + | 0.513818i | ||||
\(145\) | −22.2141 | −1.84478 | ||||||||
\(146\) | −12.2346 | + | 14.0925i | −1.01254 | + | 1.16631i | ||||
\(147\) | −1.84191 | + | 4.42183i | −0.151918 | + | 0.364707i | ||||
\(148\) | −1.73888 | − | 1.30685i | −0.142935 | − | 0.107422i | ||||
\(149\) | −5.22476 | − | 19.4991i | −0.428029 | − | 1.59743i | −0.757218 | − | 0.653162i | \(-0.773442\pi\) |
0.329189 | − | 0.944264i | \(-0.393225\pi\) | |||||||
\(150\) | −11.0346 | − | 0.689877i | −0.900970 | − | 0.0563283i | ||||
\(151\) | −3.86699 | + | 2.23261i | −0.314691 | + | 0.181687i | −0.649024 | − | 0.760768i | \(-0.724822\pi\) |
0.334333 | + | 0.942455i | \(0.391489\pi\) | |||||||
\(152\) | 4.33048 | − | 0.929169i | 0.351248 | − | 0.0753656i | ||||
\(153\) | 0.128775 | − | 0.0339558i | 0.0104108 | − | 0.00274516i | ||||
\(154\) | 1.20903 | + | 0.588725i | 0.0974263 | + | 0.0474408i | ||||
\(155\) | −3.23099 | − | 0.865741i | −0.259519 | − | 0.0695380i | ||||
\(156\) | −10.3180 | − | 17.5450i | −0.826100 | − | 1.40472i | ||||
\(157\) | 15.9143 | − | 4.26421i | 1.27010 | − | 0.340321i | 0.440029 | − | 0.897984i | \(-0.354968\pi\) |
0.830068 | + | 0.557662i | \(0.188302\pi\) | |||||||
\(158\) | −1.86355 | + | 9.62000i | −0.148256 | + | 0.765326i | ||||
\(159\) | 3.65983 | − | 4.74996i | 0.290243 | − | 0.376696i | ||||
\(160\) | −2.97481 | + | 17.1926i | −0.235179 | + | 1.35920i | ||||
\(161\) | −18.7538 | −1.47800 | ||||||||
\(162\) | 12.4759 | + | 2.52009i | 0.980203 | + | 0.197997i | ||||
\(163\) | 5.24124 | + | 5.24124i | 0.410525 | + | 0.410525i | 0.881922 | − | 0.471396i | \(-0.156250\pi\) |
−0.471396 | + | 0.881922i | \(0.656250\pi\) | |||||||
\(164\) | 4.97756 | − | 12.3655i | 0.388682 | − | 0.965580i | ||||
\(165\) | 0.317350 | + | 2.44819i | 0.0247056 | + | 0.190591i | ||||
\(166\) | 0.713539 | − | 0.481953i | 0.0553814 | − | 0.0374068i | ||||
\(167\) | 11.2974 | + | 6.52257i | 0.874220 | + | 0.504731i | 0.868748 | − | 0.495254i | \(-0.164925\pi\) |
0.00547195 | + | 0.999985i | \(0.498258\pi\) | |||||||
\(168\) | −0.790229 | − | 10.0500i | −0.0609675 | − | 0.775371i | ||||
\(169\) | 18.6403 | − | 10.7620i | 1.43387 | − | 0.827847i | ||||
\(170\) | 0.0847745 | − | 0.174096i | 0.00650191 | − | 0.0133526i | ||||
\(171\) | −4.05894 | − | 2.36504i | −0.310395 | − | 0.180859i | ||||
\(172\) | −2.76173 | + | 22.7331i | −0.210580 | + | 1.73339i | ||||
\(173\) | −0.371831 | + | 1.38769i | −0.0282698 | + | 0.105504i | −0.978619 | − | 0.205681i | \(-0.934059\pi\) |
0.950349 | + | 0.311185i | \(0.100726\pi\) | |||||||
\(174\) | 13.2283 | − | 11.6716i | 1.00284 | − | 0.884822i | ||||
\(175\) | 4.64402 | − | 8.04369i | 0.351055 | − | 0.608046i | ||||
\(176\) | 1.84800 | − | 0.0369915i | 0.139298 | − | 0.00278834i | ||||
\(177\) | −2.45247 | − | 5.95432i | −0.184339 | − | 0.447554i | ||||
\(178\) | −4.91380 | + | 5.65999i | −0.368305 | + | 0.424234i | ||||
\(179\) | −2.50772 | − | 2.50772i | −0.187436 | − | 0.187436i | 0.607151 | − | 0.794587i | \(-0.292312\pi\) |
−0.794587 | + | 0.607151i | \(0.792312\pi\) | |||||||
\(180\) | 14.6141 | − | 11.3543i | 1.08927 | − | 0.846298i | ||||
\(181\) | 10.8795 | − | 10.8795i | 0.808666 | − | 0.808666i | −0.175766 | − | 0.984432i | \(-0.556240\pi\) |
0.984432 | + | 0.175766i | \(0.0562403\pi\) | |||||||
\(182\) | 17.0567 | − | 1.20369i | 1.26432 | − | 0.0892236i | ||||
\(183\) | 0.282161 | − | 2.11073i | 0.0208580 | − | 0.156029i | ||||
\(184\) | −22.9452 | + | 11.7467i | −1.69154 | + | 0.865979i | ||||
\(185\) | 2.90520 | + | 1.67732i | 0.213594 | + | 0.123319i | ||||
\(186\) | 2.37891 | − | 1.18207i | 0.174430 | − | 0.0866733i | ||||
\(187\) | −0.0198143 | − | 0.00530922i | −0.00144896 | − | 0.000388248i | ||||
\(188\) | 3.85592 | − | 3.02053i | 0.281222 | − | 0.220295i | ||||
\(189\) | −6.55976 | + | 8.44387i | −0.477152 | + | 0.614201i | ||||
\(190\) | −6.45695 | + | 2.22793i | −0.468436 | + | 0.161631i | ||||
\(191\) | −6.59227 | − | 11.4182i | −0.477000 | − | 0.826188i | 0.522653 | − | 0.852546i | \(-0.324943\pi\) |
−0.999653 | + | 0.0263575i | \(0.991609\pi\) | |||||||
\(192\) | −7.26179 | − | 11.8011i | −0.524075 | − | 0.851672i | ||||
\(193\) | 8.71808 | − | 15.1002i | 0.627541 | − | 1.08693i | −0.360503 | − | 0.932758i | \(-0.617395\pi\) |
0.988044 | − | 0.154175i | \(-0.0492718\pi\) | |||||||
\(194\) | 3.16456 | − | 16.3361i | 0.227202 | − | 1.17286i | ||||
\(195\) | 19.0595 | + | 24.9416i | 1.36488 | + | 1.78610i | ||||
\(196\) | −5.13105 | − | 2.06544i | −0.366503 | − | 0.147531i | ||||
\(197\) | −8.36275 | + | 8.36275i | −0.595822 | + | 0.595822i | −0.939198 | − | 0.343376i | \(-0.888429\pi\) |
0.343376 | + | 0.939198i | \(0.388429\pi\) | |||||||
\(198\) | −1.47529 | − | 1.29114i | −0.104844 | − | 0.0917572i | ||||
\(199\) | 15.6420i | 1.10883i | 0.832240 | + | 0.554416i | \(0.187058\pi\) | ||||
−0.832240 | + | 0.554416i | \(0.812942\pi\) | |||||||
\(200\) | 0.643658 | − | 12.7503i | 0.0455135 | − | 0.901581i | ||||
\(201\) | −9.16425 | + | 3.77459i | −0.646396 | + | 0.266239i | ||||
\(202\) | −4.63235 | − | 6.85827i | −0.325931 | − | 0.482546i | ||||
\(203\) | 3.83573 | + | 14.3151i | 0.269216 | + | 1.00473i | ||||
\(204\) | 0.0409901 | + | 0.148215i | 0.00286988 | + | 0.0103771i | ||||
\(205\) | −5.32059 | + | 19.8567i | −0.371606 | + | 1.38685i | ||||
\(206\) | −0.605506 | − | 1.75487i | −0.0421876 | − | 0.122267i | ||||
\(207\) | 26.3809 | + | 7.18150i | 1.83360 | + | 0.499149i | ||||
\(208\) | 20.1148 | − | 12.1564i | 1.39471 | − | 0.842896i | ||||
\(209\) | 0.361796 | + | 0.626649i | 0.0250259 | + | 0.0433462i | ||||
\(210\) | 3.07897 | + | 15.2391i | 0.212469 | + | 1.05159i | ||||
\(211\) | −18.6925 | + | 5.00865i | −1.28685 | + | 0.344810i | −0.836462 | − | 0.548024i | \(-0.815380\pi\) |
−0.450386 | + | 0.892834i | \(0.648713\pi\) | |||||||
\(212\) | 5.53510 | + | 4.15989i | 0.380152 | + | 0.285703i | ||||
\(213\) | 1.53315 | + | 11.8275i | 0.105050 | + | 0.810404i | ||||
\(214\) | −5.84479 | + | 0.412468i | −0.399542 | + | 0.0281957i | ||||
\(215\) | − | 35.3170i | − | 2.40860i | ||||||
\(216\) | −2.73689 | + | 14.4399i | −0.186221 | + | 0.982508i | ||||
\(217\) | 2.23159i | 0.151491i | ||||||||
\(218\) | 1.62181 | + | 22.9814i | 0.109842 | + | 1.55650i | ||||
\(219\) | 2.93825 | + | 22.6670i | 0.198548 | + | 1.53170i | ||||
\(220\) | −2.82232 | + | 0.400338i | −0.190281 | + | 0.0269908i | ||||
\(221\) | −0.251948 | + | 0.0675091i | −0.0169478 | + | 0.00454116i | ||||
\(222\) | −2.61131 | + | 0.527603i | −0.175260 | + | 0.0354104i | ||||
\(223\) | −2.07790 | − | 3.59904i | −0.139147 | − | 0.241009i | 0.788027 | − | 0.615641i | \(-0.211103\pi\) |
−0.927174 | + | 0.374631i | \(0.877769\pi\) | |||||||
\(224\) | 11.5929 | − | 1.05166i | 0.774584 | − | 0.0702667i | ||||
\(225\) | −9.61296 | + | 9.53666i | −0.640864 | + | 0.635778i | ||||
\(226\) | 10.1402 | − | 3.49880i | 0.674513 | − | 0.232737i | ||||
\(227\) | −1.66928 | + | 6.22983i | −0.110794 | + | 0.413488i | −0.998938 | − | 0.0460768i | \(-0.985328\pi\) |
0.888144 | + | 0.459565i | \(0.151995\pi\) | |||||||
\(228\) | 2.67448 | − | 4.71930i | 0.177122 | − | 0.312543i | ||||
\(229\) | 2.51329 | + | 9.37974i | 0.166083 | + | 0.619831i | 0.997900 | + | 0.0647799i | \(0.0206345\pi\) |
−0.831816 | + | 0.555051i | \(0.812699\pi\) | |||||||
\(230\) | 32.9432 | − | 22.2512i | 2.17221 | − | 1.46720i | ||||
\(231\) | 1.52286 | − | 0.627237i | 0.100197 | − | 0.0412692i | ||||
\(232\) | 13.6595 | + | 15.1120i | 0.896791 | + | 0.992149i | ||||
\(233\) | − | 22.2096i | − | 1.45500i | −0.686108 | − | 0.727499i | \(-0.740682\pi\) | ||
0.686108 | − | 0.727499i | \(-0.259318\pi\) | |||||||
\(234\) | −24.4545 | − | 4.83839i | −1.59864 | − | 0.316295i | ||||
\(235\) | −5.34145 | + | 5.34145i | −0.348438 | + | 0.348438i | ||||
\(236\) | 6.84098 | − | 2.91417i | 0.445310 | − | 0.189696i | ||||
\(237\) | 7.28681 | + | 9.53563i | 0.473329 | + | 0.619406i | ||||
\(238\) | −0.126829 | − | 0.0245688i | −0.00822110 | − | 0.00159256i | ||||
\(239\) | −4.02723 | + | 6.97537i | −0.260500 | + | 0.451199i | −0.966375 | − | 0.257137i | \(-0.917221\pi\) |
0.705875 | + | 0.708337i | \(0.250554\pi\) | |||||||
\(240\) | 13.3123 | + | 16.7164i | 0.859307 | + | 1.07904i | ||||
\(241\) | 5.07653 | + | 8.79280i | 0.327008 | + | 0.566394i | 0.981917 | − | 0.189314i | \(-0.0606263\pi\) |
−0.654909 | + | 0.755708i | \(0.727293\pi\) | |||||||
\(242\) | −4.97557 | − | 14.4201i | −0.319842 | − | 0.926960i | ||||
\(243\) | 12.4611 | − | 9.36600i | 0.799377 | − | 0.600829i | ||||
\(244\) | 2.44099 | + | 0.296544i | 0.156268 | + | 0.0189843i | ||||
\(245\) | 8.23954 | + | 2.20778i | 0.526405 | + | 0.141050i | ||||
\(246\) | −7.26463 | − | 14.6201i | −0.463176 | − | 0.932141i | ||||
\(247\) | 7.96812 | + | 4.60040i | 0.507000 | + | 0.292716i | ||||
\(248\) | 1.39779 | + | 2.73035i | 0.0887600 | + | 0.173377i | ||||
\(249\) | 0.139732 | − | 1.04528i | 0.00885516 | − | 0.0662417i | ||||
\(250\) | −0.149343 | − | 2.11623i | −0.00944528 | − | 0.133842i | ||||
\(251\) | 11.0682 | − | 11.0682i | 0.698617 | − | 0.698617i | −0.265495 | − | 0.964112i | \(-0.585535\pi\) |
0.964112 | + | 0.265495i | \(0.0855355\pi\) | |||||||
\(252\) | −9.84033 | − | 7.45702i | −0.619883 | − | 0.469748i | ||||
\(253\) | −2.97786 | − | 2.97786i | −0.187217 | − | 0.187217i | ||||
\(254\) | −11.3598 | − | 9.86217i | −0.712778 | − | 0.618808i | ||||
\(255\) | −0.0903202 | − | 0.219287i | −0.00565607 | − | 0.0137323i | ||||
\(256\) | 13.5252 | − | 8.54810i | 0.845323 | − | 0.534256i | ||||
\(257\) | −10.3807 | + | 17.9800i | −0.647533 | + | 1.12156i | 0.336177 | + | 0.941799i | \(0.390866\pi\) |
−0.983710 | + | 0.179761i | \(0.942467\pi\) | |||||||
\(258\) | 18.5561 | + | 21.0311i | 1.15525 | + | 1.30934i | ||||
\(259\) | 0.579249 | − | 2.16179i | 0.0359928 | − | 0.134327i | ||||
\(260\) | −28.5339 | + | 22.3520i | −1.76960 | + | 1.38621i | ||||
\(261\) | 0.0860808 | − | 21.6059i | 0.00532827 | − | 1.33737i | ||||
\(262\) | −24.4815 | − | 11.9210i | −1.51247 | − | 0.736484i | ||||
\(263\) | 9.13436 | − | 5.27373i | 0.563249 | − | 0.325192i | −0.191200 | − | 0.981551i | \(-0.561238\pi\) |
0.754448 | + | 0.656359i | \(0.227904\pi\) | |||||||
\(264\) | 1.47033 | − | 1.72129i | 0.0904926 | − | 0.105938i | ||||
\(265\) | −9.24767 | − | 5.33914i | −0.568080 | − | 0.327981i | ||||
\(266\) | 2.55065 | + | 3.77627i | 0.156390 | + | 0.231538i | ||||
\(267\) | 1.18009 | + | 9.10377i | 0.0722203 | + | 0.557142i | ||||
\(268\) | −4.48518 | − | 10.5289i | −0.273976 | − | 0.643155i | ||||
\(269\) | −0.529850 | − | 0.529850i | −0.0323055 | − | 0.0323055i | 0.690770 | − | 0.723075i | \(-0.257272\pi\) |
−0.723075 | + | 0.690770i | \(0.757272\pi\) | |||||||
\(270\) | 1.50441 | − | 22.6158i | 0.0915554 | − | 1.37635i | ||||
\(271\) | 14.3682 | 0.872804 | 0.436402 | − | 0.899752i | \(-0.356253\pi\) | ||||
0.436402 | + | 0.899752i | \(0.356253\pi\) | |||||||
\(272\) | −0.170564 | + | 0.0493815i | −0.0103419 | + | 0.00299419i | ||||
\(273\) | 12.7818 | − | 16.5890i | 0.773587 | − | 1.00401i | ||||
\(274\) | 13.3099 | + | 2.57834i | 0.804080 | + | 0.155763i | ||||
\(275\) | 2.01465 | − | 0.539824i | 0.121488 | − | 0.0325526i | ||||
\(276\) | −7.92637 | + | 30.5593i | −0.477112 | + | 1.83945i | ||||
\(277\) | −8.19567 | − | 2.19602i | −0.492430 | − | 0.131946i | 0.00405455 | − | 0.999992i | \(-0.498709\pi\) |
−0.496485 | + | 0.868046i | \(0.665376\pi\) | |||||||
\(278\) | 4.36803 | − | 8.97037i | 0.261977 | − | 0.538007i | ||||
\(279\) | 0.854559 | − | 3.13918i | 0.0511611 | − | 0.187938i | ||||
\(280\) | −17.5526 | + | 3.76618i | −1.04897 | + | 0.225072i | ||||
\(281\) | −6.21827 | + | 3.59012i | −0.370951 | + | 0.214169i | −0.673874 | − | 0.738847i | \(-0.735371\pi\) |
0.302923 | + | 0.953015i | \(0.402038\pi\) | |||||||
\(282\) | 0.374322 | − | 5.98728i | 0.0222905 | − | 0.356537i | ||||
\(283\) | 3.98753 | + | 14.8817i | 0.237034 | + | 0.884623i | 0.977221 | + | 0.212222i | \(0.0680701\pi\) |
−0.740187 | + | 0.672401i | \(0.765263\pi\) | |||||||
\(284\) | −13.6349 | + | 1.93407i | −0.809085 | + | 0.114766i | ||||
\(285\) | −3.21678 | + | 7.72245i | −0.190546 | + | 0.457438i | ||||
\(286\) | 2.89952 | + | 2.51725i | 0.171452 | + | 0.148848i | ||||
\(287\) | 13.7147 | 0.809555 | ||||||||
\(288\) | −16.7104 | − | 2.95999i | −0.984672 | − | 0.174419i | ||||
\(289\) | −16.9980 | −0.999884 | ||||||||
\(290\) | −23.7227 | − | 20.5952i | −1.39305 | − | 1.20939i | ||||
\(291\) | −12.3740 | − | 16.1928i | −0.725377 | − | 0.949239i | ||||
\(292\) | −26.1310 | + | 3.70661i | −1.52920 | + | 0.216913i | ||||
\(293\) | 4.11281 | + | 15.3492i | 0.240273 | + | 0.896711i | 0.975701 | + | 0.219108i | \(0.0703146\pi\) |
−0.735428 | + | 0.677603i | \(0.763019\pi\) | |||||||
\(294\) | −6.06659 | + | 3.01446i | −0.353811 | + | 0.175807i | ||||
\(295\) | −9.93122 | + | 5.73379i | −0.578218 | + | 0.333834i | ||||
\(296\) | −0.645360 | − | 3.00776i | −0.0375108 | − | 0.174822i | ||||
\(297\) | −2.38239 | + | 0.299175i | −0.138240 | + | 0.0173599i | ||||
\(298\) | 12.4985 | − | 25.6673i | 0.724016 | − | 1.48687i | ||||
\(299\) | −51.7244 | − | 13.8595i | −2.99130 | − | 0.801517i | ||||
\(300\) | −11.1444 | − | 10.9672i | −0.643421 | − | 0.633189i | ||||
\(301\) | −22.7589 | + | 6.09824i | −1.31180 | + | 0.351496i | ||||
\(302\) | −6.19951 | − | 1.20094i | −0.356742 | − | 0.0691066i | ||||
\(303\) | −10.0468 | − | 1.34305i | −0.577173 | − | 0.0771563i | ||||
\(304\) | 5.48604 | + | 3.02262i | 0.314646 | + | 0.173359i | ||||
\(305\) | −3.79220 | −0.217141 | ||||||||
\(306\) | 0.169002 | + | 0.0831283i | 0.00966118 | + | 0.00475213i | ||||
\(307\) | 7.37130 | + | 7.37130i | 0.420702 | + | 0.420702i | 0.885446 | − | 0.464743i | \(-0.153853\pi\) |
−0.464743 | + | 0.885446i | \(0.653853\pi\) | |||||||
\(308\) | 0.745318 | + | 1.74963i | 0.0424684 | + | 0.0996942i | ||||
\(309\) | −2.09880 | − | 0.874254i | −0.119397 | − | 0.0497346i | ||||
\(310\) | −2.64777 | − | 3.92006i | −0.150383 | − | 0.222645i | ||||
\(311\) | 6.23360 | + | 3.59897i | 0.353475 | + | 0.204079i | 0.666215 | − | 0.745760i | \(-0.267913\pi\) |
−0.312740 | + | 0.949839i | \(0.601247\pi\) | |||||||
\(312\) | 5.24767 | − | 28.3026i | 0.297091 | − | 1.60232i | ||||
\(313\) | 9.23161 | − | 5.32987i | 0.521801 | − | 0.301262i | −0.215870 | − | 0.976422i | \(-0.569259\pi\) |
0.737671 | + | 0.675160i | \(0.235925\pi\) | |||||||
\(314\) | 20.9485 | + | 10.2007i | 1.18219 | + | 0.575658i | ||||
\(315\) | 16.4520 | + | 9.58617i | 0.926966 | + | 0.540119i | ||||
\(316\) | −10.9090 | + | 8.54560i | −0.613681 | + | 0.480727i | ||||
\(317\) | −3.89052 | + | 14.5196i | −0.218513 | + | 0.815503i | 0.766387 | + | 0.642379i | \(0.222053\pi\) |
−0.984900 | + | 0.173123i | \(0.944614\pi\) | |||||||
\(318\) | 8.31219 | − | 1.67944i | 0.466124 | − | 0.0941781i | ||||
\(319\) | −1.66400 | + | 2.88213i | −0.0931662 | + | 0.161369i | ||||
\(320\) | −19.1166 | + | 15.6023i | −1.06865 | + | 0.872193i | ||||
\(321\) | −4.37991 | + | 5.68453i | −0.244463 | + | 0.317280i | ||||
\(322\) | −20.0274 | − | 17.3871i | −1.11608 | − | 0.968943i | ||||
\(323\) | −0.0491536 | − | 0.0491536i | −0.00273498 | − | 0.00273498i | ||||
\(324\) | 10.9868 | + | 14.2580i | 0.610378 | + | 0.792110i | ||||
\(325\) | 18.7531 | − | 18.7531i | 1.04023 | − | 1.04023i | ||||
\(326\) | 0.737916 | + | 10.4565i | 0.0408694 | + | 0.579130i | ||||
\(327\) | 22.3513 | + | 17.2216i | 1.23603 | + | 0.952357i | ||||
\(328\) | 16.7799 | − | 8.59044i | 0.926516 | − | 0.474328i | ||||
\(329\) | 4.36444 | + | 2.51981i | 0.240619 | + | 0.138922i | ||||
\(330\) | −1.93087 | + | 2.90868i | −0.106291 | + | 0.160117i | ||||
\(331\) | −24.3818 | − | 6.53309i | −1.34015 | − | 0.359091i | −0.483658 | − | 0.875257i | \(-0.660692\pi\) |
−0.856488 | + | 0.516166i | \(0.827359\pi\) | |||||||
\(332\) | 1.20883 | + | 0.146855i | 0.0663431 | + | 0.00805969i | ||||
\(333\) | −1.64265 | + | 2.81916i | −0.0900169 | + | 0.154489i | ||||
\(334\) | 6.01745 | + | 17.4396i | 0.329260 | + | 0.954255i | ||||
\(335\) | 8.82485 | + | 15.2851i | 0.482153 | + | 0.835113i | ||||
\(336\) | 8.47366 | − | 11.4651i | 0.462276 | − | 0.625474i | ||||
\(337\) | 1.80217 | − | 3.12146i | 0.0981707 | − | 0.170037i | −0.812757 | − | 0.582603i | \(-0.802034\pi\) |
0.910928 | + | 0.412566i | \(0.135368\pi\) | |||||||
\(338\) | 29.8840 | + | 5.78901i | 1.62548 | + | 0.314881i | ||||
\(339\) | 5.05171 | − | 12.1275i | 0.274371 | − | 0.658677i | ||||
\(340\) | 0.251941 | − | 0.107324i | 0.0136634 | − | 0.00582044i | ||||
\(341\) | −0.354350 | + | 0.354350i | −0.0191891 | + | 0.0191891i | ||||
\(342\) | −2.14192 | − | 6.28881i | −0.115822 | − | 0.340060i | ||||
\(343\) | − | 20.0953i | − | 1.08505i | ||||||
\(344\) | −24.0257 | + | 21.7166i | −1.29538 | + | 1.17088i | ||||
\(345\) | 6.45126 | − | 48.2591i | 0.347324 | − | 2.59818i | ||||
\(346\) | −1.68365 | + | 1.13720i | −0.0905134 | + | 0.0611364i | ||||
\(347\) | −4.13293 | − | 15.4243i | −0.221867 | − | 0.828020i | −0.983635 | − | 0.180170i | \(-0.942335\pi\) |
0.761768 | − | 0.647850i | \(-0.224331\pi\) | |||||||
\(348\) | 24.9478 | − | 0.199964i | 1.33734 | − | 0.0107192i | ||||
\(349\) | 4.05477 | − | 15.1326i | 0.217047 | − | 0.810029i | −0.768389 | − | 0.639983i | \(-0.778942\pi\) |
0.985436 | − | 0.170047i | \(-0.0543918\pi\) | |||||||
\(350\) | 12.4169 | − | 4.28438i | 0.663712 | − | 0.229010i | ||||
\(351\) | −24.3326 | + | 18.4411i | −1.29878 | + | 0.984312i | ||||
\(352\) | 2.00780 | + | 1.67382i | 0.107016 | + | 0.0892149i | ||||
\(353\) | 2.05577 | + | 3.56070i | 0.109418 | + | 0.189517i | 0.915534 | − | 0.402239i | \(-0.131768\pi\) |
−0.806117 | + | 0.591756i | \(0.798435\pi\) | |||||||
\(354\) | 2.90136 | − | 8.63245i | 0.154205 | − | 0.458809i | ||||
\(355\) | 20.5147 | − | 5.49691i | 1.08881 | − | 0.291746i | ||||
\(356\) | −10.4950 | + | 1.48869i | −0.556235 | + | 0.0789003i | ||||
\(357\) | −0.125717 | + | 0.0960684i | −0.00665363 | + | 0.00508448i | ||||
\(358\) | −0.353063 | − | 5.00300i | −0.0186600 | − | 0.264417i | ||||
\(359\) | 20.1902i | 1.06560i | 0.846242 | + | 0.532800i | \(0.178860\pi\) | ||||
−0.846242 | + | 0.532800i | \(0.821140\pi\) | |||||||
\(360\) | 26.1334 | + | 1.42367i | 1.37735 | + | 0.0750340i | ||||
\(361\) | − | 16.5479i | − | 0.870945i | ||||||
\(362\) | 21.7050 | − | 1.53173i | 1.14079 | − | 0.0805058i | ||||
\(363\) | −17.2463 | − | 7.18394i | −0.905196 | − | 0.377059i | ||||
\(364\) | 19.3310 | + | 14.5282i | 1.01322 | + | 0.761485i | ||||
\(365\) | 39.3160 | − | 10.5347i | 2.05789 | − | 0.551411i | ||||
\(366\) | 2.25823 | − | 1.99248i | 0.118040 | − | 0.104148i | ||||
\(367\) | 11.2398 | + | 19.4679i | 0.586714 | + | 1.01622i | 0.994659 | + | 0.103212i | \(0.0329120\pi\) |
−0.407946 | + | 0.913006i | \(0.633755\pi\) | |||||||
\(368\) | −35.3941 | − | 8.72852i | −1.84505 | − | 0.455006i | ||||
\(369\) | −19.2925 | − | 5.25187i | −1.00433 | − | 0.273402i | ||||
\(370\) | 1.54742 | + | 4.48471i | 0.0804466 | + | 0.233149i | ||||
\(371\) | −1.84383 | + | 6.88128i | −0.0957270 | + | 0.357258i | ||||
\(372\) | 3.63639 | + | 0.943195i | 0.188538 | + | 0.0489024i | ||||
\(373\) | 6.87405 | + | 25.6543i | 0.355925 | + | 1.32833i | 0.879317 | + | 0.476237i | \(0.158000\pi\) |
−0.523392 | + | 0.852092i | \(0.675334\pi\) | |||||||
\(374\) | −0.0162376 | − | 0.0240401i | −0.000839628 | − | 0.00124308i | ||||
\(375\) | −2.05821 | − | 1.58584i | −0.106285 | − | 0.0818925i | ||||
\(376\) | 6.91820 | + | 0.349244i | 0.356779 | + | 0.0180109i | ||||
\(377\) | 42.3171i | 2.17944i | ||||||||
\(378\) | −14.8338 | + | 2.93563i | −0.762967 | + | 0.150992i | ||||
\(379\) | −6.62881 | + | 6.62881i | −0.340499 | + | 0.340499i | −0.856555 | − | 0.516056i | \(-0.827400\pi\) |
0.516056 | + | 0.856555i | \(0.327400\pi\) | |||||||
\(380\) | −8.96104 | − | 3.60715i | −0.459692 | − | 0.185043i | ||||
\(381\) | −18.2716 | + | 2.36848i | −0.936083 | + | 0.121341i | ||||
\(382\) | 3.54606 | − | 18.3055i | 0.181432 | − | 0.936589i | ||||
\(383\) | 1.98902 | − | 3.44509i | 0.101634 | − | 0.176036i | −0.810724 | − | 0.585429i | \(-0.800926\pi\) |
0.912358 | + | 0.409393i | \(0.134259\pi\) | |||||||
\(384\) | 3.18613 | − | 19.3352i | 0.162591 | − | 0.986693i | ||||
\(385\) | −1.46646 | − | 2.53998i | −0.0747376 | − | 0.129449i | ||||
\(386\) | 23.3099 | − | 8.04293i | 1.18644 | − | 0.409374i | ||||
\(387\) | 34.3502 | + | 0.136856i | 1.74612 | + | 0.00695676i | ||||
\(388\) | 18.5250 | − | 14.5116i | 0.940467 | − | 0.736714i | ||||
\(389\) | −4.54738 | − | 1.21847i | −0.230561 | − | 0.0617787i | 0.141688 | − | 0.989911i | \(-0.454747\pi\) |
−0.372250 | + | 0.928133i | \(0.621414\pi\) | |||||||
\(390\) | −2.76999 | + | 44.3060i | −0.140264 | + | 2.24352i | ||||
\(391\) | 0.350370 | + | 0.202286i | 0.0177190 | + | 0.0102301i | ||||
\(392\) | −3.56460 | − | 6.96283i | −0.180040 | − | 0.351676i | ||||
\(393\) | −30.8362 | + | 12.7009i | −1.55548 | + | 0.640674i | ||||
\(394\) | −16.6840 | + | 1.17740i | −0.840529 | + | 0.0593163i | ||||
\(395\) | 15.1119 | − | 15.1119i | 0.760360 | − | 0.760360i | ||||
\(396\) | −0.378441 | − | 2.74660i | −0.0190174 | − | 0.138022i | ||||
\(397\) | −18.1361 | − | 18.1361i | −0.910223 | − | 0.910223i | 0.0860661 | − | 0.996289i | \(-0.472570\pi\) |
−0.996289 | + | 0.0860661i | \(0.972570\pi\) | |||||||
\(398\) | −14.5021 | + | 16.7043i | −0.726923 | + | 0.837311i | ||||
\(399\) | 5.53193 | + | 0.739506i | 0.276943 | + | 0.0370216i | ||||
\(400\) | 12.5085 | − | 13.0195i | 0.625423 | − | 0.650973i | ||||
\(401\) | −2.47526 | + | 4.28727i | −0.123608 | + | 0.214096i | −0.921188 | − | 0.389118i | \(-0.872780\pi\) |
0.797580 | + | 0.603214i | \(0.206113\pi\) | |||||||
\(402\) | −13.2861 | − | 4.46546i | −0.662653 | − | 0.222717i | ||||
\(403\) | −1.64921 | + | 6.15492i | −0.0821528 | + | 0.306599i | ||||
\(404\) | 1.41151 | − | 11.6188i | 0.0702253 | − | 0.578057i | ||||
\(405\) | −19.4721 | − | 19.7849i | −0.967576 | − | 0.983120i | ||||
\(406\) | −9.17568 | + | 18.8435i | −0.455381 | + | 0.935189i | ||||
\(407\) | 0.435242 | − | 0.251287i | 0.0215742 | − | 0.0124558i | ||||
\(408\) | −0.0936398 | + | 0.196284i | −0.00463586 | + | 0.00971750i | ||||
\(409\) | 12.4390 | + | 7.18164i | 0.615067 | + | 0.355109i | 0.774946 | − | 0.632027i | \(-0.217777\pi\) |
−0.159879 | + | 0.987137i | \(0.551110\pi\) | |||||||
\(410\) | −24.0916 | + | 16.2724i | −1.18980 | + | 0.803638i | ||||
\(411\) | 13.1932 | − | 10.0818i | 0.650771 | − | 0.497297i | ||||
\(412\) | 0.980350 | − | 2.43543i | 0.0482984 | − | 0.119985i | ||||
\(413\) | 5.40979 | + | 5.40979i | 0.266199 | + | 0.266199i | ||||
\(414\) | 21.5144 | + | 32.1276i | 1.05737 | + | 1.57898i | ||||
\(415\) | −1.87798 | −0.0921862 | ||||||||
\(416\) | 32.7514 | + | 5.66691i | 1.60577 | + | 0.277843i | ||||
\(417\) | −4.65378 | − | 11.2988i | −0.227896 | − | 0.553305i | ||||
\(418\) | −0.194614 | + | 1.00464i | −0.00951889 | + | 0.0491384i | ||||
\(419\) | 24.4257 | − | 6.54483i | 1.19327 | − | 0.319736i | 0.393093 | − | 0.919499i | \(-0.371405\pi\) |
0.800178 | + | 0.599763i | \(0.204738\pi\) | |||||||
\(420\) | −10.8404 | + | 19.1286i | −0.528958 | + | 0.933380i | ||||
\(421\) | −4.96853 | − | 1.33131i | −0.242151 | − | 0.0648842i | 0.135702 | − | 0.990750i | \(-0.456671\pi\) |
−0.377853 | + | 0.925865i | \(0.623338\pi\) | |||||||
\(422\) | −24.6057 | − | 11.9815i | −1.19779 | − | 0.583250i | ||||
\(423\) | −5.17452 | − | 5.21591i | −0.251594 | − | 0.253606i | ||||
\(424\) | 2.05427 | + | 9.57413i | 0.0997643 | + | 0.464961i | ||||
\(425\) | −0.173526 | + | 0.100185i | −0.00841723 | + | 0.00485969i | ||||
\(426\) | −9.32824 | + | 14.0521i | −0.451955 | + | 0.680828i | ||||
\(427\) | 0.654803 | + | 2.44376i | 0.0316882 | + | 0.118262i | ||||
\(428\) | −6.62414 | − | 4.97836i | −0.320190 | − | 0.240638i | ||||
\(429\) | 4.66371 | − | 0.604540i | 0.225166 | − | 0.0291875i | ||||
\(430\) | 32.7433 | − | 37.7156i | 1.57902 | − | 1.81881i | ||||
\(431\) | 20.0912 | 0.967760 | 0.483880 | − | 0.875134i | \(-0.339227\pi\) | ||||
0.483880 | + | 0.875134i | \(0.339227\pi\) | |||||||
\(432\) | −16.3103 | + | 12.8831i | −0.784730 | + | 0.619838i | ||||
\(433\) | 21.8262 | 1.04890 | 0.524449 | − | 0.851442i | \(-0.324271\pi\) | ||||
0.524449 | + | 0.851442i | \(0.324271\pi\) | |||||||
\(434\) | −2.06897 | + | 2.38315i | −0.0993135 | + | 0.114395i | ||||
\(435\) | −38.1567 | + | 4.94611i | −1.82947 | + | 0.237148i | ||||
\(436\) | −19.5747 | + | 26.0458i | −0.937457 | + | 1.24737i | ||||
\(437\) | −3.69362 | − | 13.7848i | −0.176690 | − | 0.659415i | ||||
\(438\) | −17.8773 | + | 26.9306i | −0.854213 | + | 1.28679i | ||||
\(439\) | −25.7554 | + | 14.8699i | −1.22924 | + | 0.709700i | −0.966870 | − | 0.255268i | \(-0.917836\pi\) |
−0.262367 | + | 0.964968i | \(0.584503\pi\) | |||||||
\(440\) | −3.38516 | − | 2.18912i | −0.161381 | − | 0.104362i | ||||
\(441\) | −2.17926 | + | 8.00541i | −0.103774 | + | 0.381210i | ||||
\(442\) | −0.331648 | − | 0.161493i | −0.0157749 | − | 0.00768142i | ||||
\(443\) | 33.8185 | + | 9.06164i | 1.60677 | + | 0.430532i | 0.947077 | − | 0.321007i | \(-0.104021\pi\) |
0.659689 | + | 0.751539i | \(0.270688\pi\) | |||||||
\(444\) | −3.27781 | − | 1.85758i | −0.155558 | − | 0.0881567i | ||||
\(445\) | 15.7905 | − | 4.23106i | 0.748543 | − | 0.200571i | ||||
\(446\) | 1.11773 | − | 5.76994i | 0.0529260 | − | 0.273214i | ||||
\(447\) | −13.3161 | − | 32.3298i | −0.629828 | − | 1.52915i | ||||
\(448\) | 13.3553 | + | 9.62499i | 0.630976 | + | 0.454738i | ||||
\(449\) | 27.6805 | 1.30633 | 0.653163 | − | 0.757217i | \(-0.273442\pi\) | ||||
0.653163 | + | 0.757217i | \(0.273442\pi\) | |||||||
\(450\) | −19.1075 | + | 1.27194i | −0.900736 | + | 0.0599596i | ||||
\(451\) | 2.17773 | + | 2.17773i | 0.102545 | + | 0.102545i | ||||
\(452\) | 14.0726 | + | 5.66476i | 0.661921 | + | 0.266448i | ||||
\(453\) | −6.14514 | + | 4.69591i | −0.288724 | + | 0.220633i | ||||
\(454\) | −7.55847 | + | 5.10530i | −0.354737 | + | 0.239604i | ||||
\(455\) | −32.2970 | − | 18.6467i | −1.51411 | − | 0.874169i | ||||
\(456\) | 7.23149 | − | 2.56023i | 0.338646 | − | 0.119894i | ||||
\(457\) | −13.8114 | + | 7.97402i | −0.646070 | + | 0.373009i | −0.786949 | − | 0.617018i | \(-0.788341\pi\) |
0.140879 | + | 0.990027i | \(0.455007\pi\) | |||||||
\(458\) | −6.01220 | + | 12.3469i | −0.280932 | + | 0.576932i | ||||
\(459\) | 0.213633 | − | 0.0869977i | 0.00997155 | − | 0.00406071i | ||||
\(460\) | 55.8102 | + | 6.78009i | 2.60216 | + | 0.316123i | ||||
\(461\) | 4.87059 | − | 18.1773i | 0.226846 | − | 0.846600i | −0.754811 | − | 0.655943i | \(-0.772271\pi\) |
0.981657 | − | 0.190658i | \(-0.0610620\pi\) | |||||||
\(462\) | 2.20781 | + | 0.742042i | 0.102716 | + | 0.0345229i | ||||
\(463\) | 6.07529 | − | 10.5227i | 0.282343 | − | 0.489032i | −0.689619 | − | 0.724173i | \(-0.742222\pi\) |
0.971961 | + | 0.235141i | \(0.0755552\pi\) | |||||||
\(464\) | 0.576538 | + | 28.8023i | 0.0267651 | + | 1.33712i | ||||
\(465\) | −5.74257 | − | 0.767664i | −0.266305 | − | 0.0355996i | ||||
\(466\) | 20.5910 | − | 23.7179i | 0.953862 | − | 1.09871i | ||||
\(467\) | −15.9698 | − | 15.9698i | −0.738992 | − | 0.738992i | 0.233391 | − | 0.972383i | \(-0.425018\pi\) |
−0.972383 | + | 0.233391i | \(0.925018\pi\) | |||||||
\(468\) | −21.6295 | − | 27.8393i | −0.999825 | − | 1.28687i | ||||
\(469\) | 8.32618 | − | 8.32618i | 0.384467 | − | 0.384467i | ||||
\(470\) | −10.6564 | + | 0.752025i | −0.491543 | + | 0.0346883i | ||||
\(471\) | 26.3862 | − | 10.8680i | 1.21581 | − | 0.500770i | ||||
\(472\) | 10.0074 | + | 3.23035i | 0.460627 | + | 0.148689i | ||||
\(473\) | −4.58216 | − | 2.64551i | −0.210688 | − | 0.121641i | ||||
\(474\) | −1.05902 | + | 16.9390i | −0.0486424 | + | 0.778034i | ||||
\(475\) | 6.82710 | + | 1.82931i | 0.313249 | + | 0.0839347i | ||||
\(476\) | −0.112664 | − | 0.143823i | −0.00516395 | − | 0.00659214i | ||||
\(477\) | 5.22881 | − | 8.97380i | 0.239411 | − | 0.410882i | ||||
\(478\) | −10.7678 | + | 3.71536i | −0.492507 | + | 0.169936i | ||||
\(479\) | −9.27240 | − | 16.0603i | −0.423667 | − | 0.733813i | 0.572628 | − | 0.819815i | \(-0.305924\pi\) |
−0.996295 | + | 0.0860026i | \(0.972591\pi\) | |||||||
\(480\) | −1.28171 | + | 30.1938i | −0.0585018 | + | 1.37815i | ||||
\(481\) | 3.19523 | − | 5.53430i | 0.145690 | − | 0.252343i | ||||
\(482\) | −2.73072 | + | 14.0965i | −0.124381 | + | 0.642079i | ||||
\(483\) | −32.2130 | + | 4.17565i | −1.46574 | + | 0.189999i | ||||
\(484\) | 8.05575 | − | 20.0124i | 0.366170 | − | 0.909655i | ||||
\(485\) | −25.6620 | + | 25.6620i | −1.16525 | + | 1.16525i | ||||
\(486\) | 21.9908 | + | 1.55086i | 0.997522 | + | 0.0703484i | ||||
\(487\) | − | 6.58835i | − | 0.298547i | −0.988796 | − | 0.149273i | \(-0.952307\pi\) | ||
0.988796 | − | 0.149273i | \(-0.0476934\pi\) | |||||||
\(488\) | 2.33184 | + | 2.57978i | 0.105557 | + | 0.116781i | ||||
\(489\) | 10.1698 | + | 7.83577i | 0.459893 | + | 0.354346i | ||||
\(490\) | 6.75224 | + | 9.99679i | 0.305035 | + | 0.451609i | ||||
\(491\) | 1.30320 | + | 4.86361i | 0.0588126 | + | 0.219491i | 0.989077 | − | 0.147397i | \(-0.0470896\pi\) |
−0.930265 | + | 0.366889i | \(0.880423\pi\) | |||||||
\(492\) | 5.79660 | − | 22.3482i | 0.261331 | − | 1.00753i | ||||
\(493\) | 0.0827478 | − | 0.308819i | 0.00372678 | − | 0.0139085i | ||||
\(494\) | 4.24413 | + | 12.3003i | 0.190953 | + | 0.553415i | ||||
\(495\) | 1.09021 | + | 4.13454i | 0.0490013 | + | 0.185834i | ||||
\(496\) | −1.03865 | + | 4.21171i | −0.0466366 | + | 0.189111i | ||||
\(497\) | −7.08461 | − | 12.2709i | −0.317788 | − | 0.550425i | ||||
\(498\) | 1.11832 | − | 0.986716i | 0.0501132 | − | 0.0442158i | ||||
\(499\) | −20.9744 | + | 5.62008i | −0.938944 | + | 0.251589i | −0.695664 | − | 0.718367i | \(-0.744890\pi\) |
−0.243279 | + | 0.969956i | \(0.578223\pi\) | |||||||
\(500\) | 1.80252 | − | 2.39841i | 0.0806113 | − | 0.107260i | ||||
\(501\) | 20.8576 | + | 8.68824i | 0.931851 | + | 0.388162i | ||||
\(502\) | 22.0814 | − | 1.55829i | 0.985542 | − | 0.0695500i | ||||
\(503\) | 9.04140i | 0.403136i | 0.979475 | + | 0.201568i | \(0.0646037\pi\) | ||||
−0.979475 | + | 0.201568i | \(0.935396\pi\) | |||||||
\(504\) | −3.59505 | − | 17.0867i | −0.160136 | − | 0.761100i | ||||
\(505\) | 18.0504i | 0.803232i | ||||||||
\(506\) | −0.419255 | − | 5.94095i | −0.0186381 | − | 0.264108i | ||||
\(507\) | 29.6219 | − | 22.6361i | 1.31556 | − | 1.00530i | ||||
\(508\) | −2.98785 | − | 21.0639i | −0.132564 | − | 0.934560i | ||||
\(509\) | −14.1941 | + | 3.80331i | −0.629144 | + | 0.168579i | −0.559281 | − | 0.828978i | \(-0.688923\pi\) |
−0.0698626 | + | 0.997557i | \(0.522256\pi\) | |||||||
\(510\) | 0.106852 | − | 0.317918i | 0.00473148 | − | 0.0140776i | ||||
\(511\) | −13.5775 | − | 23.5169i | −0.600633 | − | 1.04033i | ||||
\(512\) | 22.3689 | + | 3.41087i | 0.988573 | + | 0.150740i | ||||
\(513\) | −7.49856 | − | 3.15864i | −0.331070 | − | 0.139457i | ||||
\(514\) | −27.7554 | + | 9.57684i | −1.22424 | + | 0.422416i | ||||
\(515\) | −1.04791 | + | 3.91086i | −0.0461765 | + | 0.172333i | ||||
\(516\) | 0.317913 | + | 39.6632i | 0.0139953 | + | 1.74607i | ||||
\(517\) | 0.292904 | + | 1.09313i | 0.0128819 | + | 0.0480760i | ||||
\(518\) | 2.62283 | − | 1.77157i | 0.115241 | − | 0.0778382i | ||||
\(519\) | −0.329708 | + | 2.46640i | −0.0144726 | + | 0.108263i | ||||
\(520\) | −51.1949 | − | 2.58441i | −2.24504 | − | 0.113334i | ||||
\(521\) | 7.25761i | 0.317962i | 0.987282 | + | 0.158981i | \(0.0508208\pi\) | ||||
−0.987282 | + | 0.158981i | \(0.949179\pi\) | |||||||
\(522\) | 20.1233 | − | 22.9935i | 0.880772 | − | 1.00640i | ||||
\(523\) | −19.0736 | + | 19.0736i | −0.834028 | + | 0.834028i | −0.988065 | − | 0.154037i | \(-0.950773\pi\) |
0.154037 | + | 0.988065i | \(0.450773\pi\) | |||||||
\(524\) | −15.0919 | − | 35.4280i | −0.659292 | − | 1.54768i | ||||
\(525\) | 6.18597 | − | 14.8505i | 0.269978 | − | 0.648129i | ||||
\(526\) | 14.6441 | + | 2.83680i | 0.638514 | + | 0.123690i | ||||
\(527\) | 0.0240710 | − | 0.0416922i | 0.00104855 | − | 0.00181614i | ||||
\(528\) | 3.16603 | − | 0.475009i | 0.137784 | − | 0.0206721i | ||||
\(529\) | 30.0291 | + | 52.0119i | 1.30561 | + | 2.26139i | ||||
\(530\) | −4.92567 | − | 14.2755i | −0.213957 | − | 0.620087i | ||||
\(531\) | −5.53833 | − | 9.68155i | −0.240343 | − | 0.420143i | ||||
\(532\) | −0.777200 | + | 6.39750i | −0.0336959 | + | 0.277367i | ||||
\(533\) | 37.8264 | + | 10.1355i | 1.63844 | + | 0.439019i | ||||
\(534\) | −7.18009 | + | 10.8161i | −0.310713 | + | 0.468060i | ||||
\(535\) | 11.0672 | + | 6.38963i | 0.478476 | + | 0.276248i | ||||
\(536\) | 4.97182 | − | 15.4023i | 0.214750 | − | 0.665277i | ||||
\(537\) | −4.86582 | − | 3.74910i | −0.209976 | − | 0.161786i | ||||
\(538\) | −0.0745977 | − | 1.05707i | −0.00321614 | − | 0.0455735i | ||||
\(539\) | 0.903648 | − | 0.903648i | 0.0389229 | − | 0.0389229i | ||||
\(540\) | 22.5742 | − | 22.7569i | 0.971439 | − | 0.979303i | ||||
\(541\) | 12.1246 | + | 12.1246i | 0.521279 | + | 0.521279i | 0.917957 | − | 0.396679i | \(-0.129837\pi\) |
−0.396679 | + | 0.917957i | \(0.629837\pi\) | |||||||
\(542\) | 15.3440 | + | 13.3211i | 0.659080 | + | 0.572189i | ||||
\(543\) | 16.2651 | − | 21.1099i | 0.698001 | − | 0.905911i | ||||
\(544\) | −0.227930 | − | 0.105399i | −0.00977243 | − | 0.00451893i | ||||
\(545\) | 25.1237 | − | 43.5156i | 1.07618 | − | 1.86400i | ||||
\(546\) | 29.0299 | − | 5.86534i | 1.24236 | − | 0.251013i | ||||
\(547\) | −9.94693 | + | 37.1224i | −0.425300 | + | 1.58724i | 0.337967 | + | 0.941158i | \(0.390261\pi\) |
−0.763267 | + | 0.646083i | \(0.776406\pi\) | |||||||
\(548\) | 11.8234 | + | 15.0934i | 0.505070 | + | 0.644757i | ||||
\(549\) | 0.0146950 | − | 3.68838i | 0.000627167 | − | 0.157416i | ||||
\(550\) | 2.65196 | + | 1.29135i | 0.113080 | + | 0.0550632i | ||||
\(551\) | −9.76675 | + | 5.63884i | −0.416078 | + | 0.240223i | ||||
\(552\) | −36.7969 | + | 25.2860i | −1.56618 | + | 1.07624i | ||||
\(553\) | −12.3477 | − | 7.12897i | −0.525079 | − | 0.303155i | ||||
\(554\) | −6.71629 | − | 9.94357i | −0.285348 | − | 0.422462i | ||||
\(555\) | 5.36367 | + | 2.23423i | 0.227675 | + | 0.0948379i | ||||
\(556\) | 12.9813 | − | 5.52988i | 0.550531 | − | 0.234519i | ||||
\(557\) | −7.00897 | − | 7.00897i | −0.296979 | − | 0.296979i | 0.542850 | − | 0.839830i | \(-0.317345\pi\) |
−0.839830 | + | 0.542850i | \(0.817345\pi\) | |||||||
\(558\) | 3.82300 | − | 2.56009i | 0.161841 | − | 0.108377i | ||||
\(559\) | −67.2778 | −2.84555 | ||||||||
\(560\) | −22.2364 | − | 12.2515i | −0.939660 | − | 0.517720i | ||||
\(561\) | −0.0352167 | − | 0.00470776i | −0.00148685 | − | 0.000198762i | ||||
\(562\) | −9.96906 | − | 1.93117i | −0.420520 | − | 0.0814613i | ||||
\(563\) | −6.06076 | + | 1.62398i | −0.255430 | + | 0.0684424i | −0.384262 | − | 0.923224i | \(-0.625544\pi\) |
0.128831 | + | 0.991667i | \(0.458877\pi\) | |||||||
\(564\) | 5.95069 | − | 6.04686i | 0.250569 | − | 0.254619i | ||||
\(565\) | −22.5981 | − | 6.05515i | −0.950711 | − | 0.254742i | ||||
\(566\) | −9.53881 | + | 19.5893i | −0.400946 | + | 0.823399i | ||||
\(567\) | −9.38748 | + | 15.9644i | −0.394237 | + | 0.670444i | ||||
\(568\) | −16.3541 | − | 10.5759i | −0.686202 | − | 0.443753i | ||||
\(569\) | 5.33529 | − | 3.08033i | 0.223667 | − | 0.129134i | −0.383980 | − | 0.923341i | \(-0.625447\pi\) |
0.607647 | + | 0.794207i | \(0.292113\pi\) | |||||||
\(570\) | −10.5949 | + | 5.26456i | −0.443772 | + | 0.220508i | ||||
\(571\) | −4.83727 | − | 18.0529i | −0.202433 | − | 0.755491i | −0.990217 | − | 0.139539i | \(-0.955438\pi\) |
0.787783 | − | 0.615952i | \(-0.211229\pi\) | |||||||
\(572\) | 0.762629 | + | 5.37643i | 0.0318871 | + | 0.224800i | ||||
\(573\) | −13.8657 | − | 18.1449i | −0.579250 | − | 0.758015i | ||||
\(574\) | 14.6462 | + | 12.7153i | 0.611319 | + | 0.530725i | ||||
\(575\) | −41.1357 | −1.71548 | ||||||||
\(576\) | −15.1010 | − | 18.6537i | −0.629210 | − | 0.777236i | ||||
\(577\) | 11.2964 | 0.470277 | 0.235138 | − | 0.971962i | \(-0.424446\pi\) | ||||
0.235138 | + | 0.971962i | \(0.424446\pi\) | |||||||
\(578\) | −18.1524 | − | 15.7593i | −0.755042 | − | 0.655500i | ||||
\(579\) | 11.6127 | − | 27.8784i | 0.482608 | − | 1.15859i | ||||
\(580\) | −6.23954 | − | 43.9878i | −0.259083 | − | 1.82650i | ||||
\(581\) | 0.324272 | + | 1.21020i | 0.0134531 | + | 0.0502076i | ||||
\(582\) | 1.79836 | − | 28.7648i | 0.0745444 | − | 1.19234i | ||||
\(583\) | −1.38544 | + | 0.799884i | −0.0573790 | + | 0.0331278i | ||||
\(584\) | −31.3422 | − | 20.2684i | −1.29695 | − | 0.838711i | ||||
\(585\) | 38.2916 | + | 38.5979i | 1.58316 | + | 1.59583i | ||||
\(586\) | −9.83850 | + | 20.2047i | −0.406425 | + | 0.834650i | ||||
\(587\) | 37.0905 | + | 9.93836i | 1.53089 | + | 0.410200i | 0.923309 | − | 0.384059i | \(-0.125474\pi\) |
0.607579 | + | 0.794259i | \(0.292141\pi\) | |||||||
\(588\) | −9.27338 | − | 2.40530i | −0.382428 | − | 0.0991929i | ||||
\(589\) | −1.64031 | + | 0.439521i | −0.0675879 | + | 0.0181101i | ||||
\(590\) | −15.9216 | − | 3.08427i | −0.655483 | − | 0.126978i | ||||
\(591\) | −12.5025 | + | 16.2266i | −0.514285 | + | 0.667471i | ||||
\(592\) | 2.09938 | − | 3.81036i | 0.0862838 | − | 0.156605i | ||||
\(593\) | 7.39166 | 0.303539 | 0.151770 | − | 0.988416i | \(-0.451503\pi\) | ||||
0.151770 | + | 0.988416i | \(0.451503\pi\) | |||||||
\(594\) | −2.82156 | − | 1.88928i | −0.115770 | − | 0.0775180i | ||||
\(595\) | 0.199233 | + | 0.199233i | 0.00816776 | + | 0.00816776i | ||||
\(596\) | 37.1441 | − | 15.8229i | 1.52148 | − | 0.648131i | ||||
\(597\) | 3.48280 | + | 26.8679i | 0.142541 | + | 1.09963i | ||||
\(598\) | −42.3878 | − | 62.7557i | −1.73336 | − | 2.56627i | ||||
\(599\) | −22.9017 | − | 13.2223i | −0.935739 | − | 0.540249i | −0.0471171 | − | 0.998889i | \(-0.515003\pi\) |
−0.888622 | + | 0.458640i | \(0.848337\pi\) | |||||||
\(600\) | −1.73334 | − | 22.0442i | −0.0707632 | − | 0.899951i | ||||
\(601\) | 33.6284 | − | 19.4154i | 1.37173 | − | 0.791970i | 0.380587 | − | 0.924745i | \(-0.375722\pi\) |
0.991146 | + | 0.132775i | \(0.0423887\pi\) | |||||||
\(602\) | −29.9584 | − | 14.5880i | −1.22101 | − | 0.594561i | ||||
\(603\) | −14.9008 | + | 8.52401i | −0.606808 | + | 0.347125i | ||||
\(604\) | −5.50713 | − | 7.03022i | −0.224082 | − | 0.286056i | ||||
\(605\) | −8.61091 | + | 32.1364i | −0.350083 | + | 1.30653i | ||||
\(606\) | −9.48394 | − | 10.7489i | −0.385259 | − | 0.436644i | ||||
\(607\) | 1.86964 | − | 3.23831i | 0.0758863 | − | 0.131439i | −0.825585 | − | 0.564278i | \(-0.809155\pi\) |
0.901471 | + | 0.432839i | \(0.142488\pi\) | |||||||
\(608\) | 3.05628 | + | 8.31414i | 0.123948 | + | 0.337183i | ||||
\(609\) | 9.77592 | + | 23.7348i | 0.396140 | + | 0.961782i | ||||
\(610\) | −4.04974 | − | 3.51584i | −0.163969 | − | 0.142352i | ||||
\(611\) | 10.1753 | + | 10.1753i | 0.411648 | + | 0.411648i | ||||
\(612\) | 0.103409 | + | 0.245459i | 0.00418006 | + | 0.00992210i | ||||
\(613\) | −4.21378 | + | 4.21378i | −0.170193 | + | 0.170193i | −0.787064 | − | 0.616871i | \(-0.788400\pi\) |
0.616871 | + | 0.787064i | \(0.288400\pi\) | |||||||
\(614\) | 1.03781 | + | 14.7060i | 0.0418825 | + | 0.593487i | ||||
\(615\) | −4.71784 | + | 35.2921i | −0.190242 | + | 1.42312i | ||||
\(616\) | −0.826185 | + | 2.55945i | −0.0332879 | + | 0.103123i | ||||
\(617\) | 19.3833 | + | 11.1910i | 0.780343 | + | 0.450531i | 0.836552 | − | 0.547888i | \(-0.184568\pi\) |
−0.0562088 | + | 0.998419i | \(0.517901\pi\) | |||||||
\(618\) | −1.43080 | − | 2.87948i | −0.0575551 | − | 0.115830i | ||||
\(619\) | 15.3149 | + | 4.10361i | 0.615557 | + | 0.164938i | 0.553107 | − | 0.833110i | \(-0.313442\pi\) |
0.0624496 | + | 0.998048i | \(0.480109\pi\) | |||||||
\(620\) | 0.806794 | − | 6.64110i | 0.0324016 | − | 0.266713i | ||||
\(621\) | 46.9129 | + | 6.46164i | 1.88255 | + | 0.259297i | ||||
\(622\) | 3.32026 | + | 9.62271i | 0.133130 | + | 0.385836i | ||||
\(623\) | −5.45314 | − | 9.44511i | −0.218475 | − | 0.378410i | ||||
\(624\) | 31.8441 | − | 25.3595i | 1.27478 | − | 1.01519i | ||||
\(625\) | −13.5976 | + | 23.5518i | −0.543905 | + | 0.942071i | ||||
\(626\) | 14.8000 | + | 2.86700i | 0.591528 | + | 0.114588i | ||||
\(627\) | 0.760977 | + | 0.995826i | 0.0303905 | + | 0.0397694i | ||||
\(628\) | 12.9139 | + | 30.3153i | 0.515322 | + | 1.20971i | ||||
\(629\) | −0.0341399 | + | 0.0341399i | −0.00136125 | + | 0.00136125i | ||||
\(630\) | 8.68177 | + | 25.4903i | 0.345890 | + | 1.01556i | ||||
\(631\) | − | 38.2887i | − | 1.52425i | −0.647429 | − | 0.762125i | \(-0.724156\pi\) | ||
0.647429 | − | 0.762125i | \(-0.275844\pi\) | |||||||
\(632\) | −19.5727 | − | 0.988069i | −0.778562 | − | 0.0393033i | ||||
\(633\) | −30.9926 | + | 12.7653i | −1.23185 | + | 0.507374i | ||||
\(634\) | −17.6162 | + | 11.8987i | −0.699629 | + | 0.472558i | ||||
\(635\) | 8.49189 | + | 31.6922i | 0.336990 | + | 1.25767i | ||||
\(636\) | 10.4338 | + | 5.91294i | 0.413725 | + | 0.234463i | ||||
\(637\) | 4.20574 | − | 15.6960i | 0.166638 | − | 0.621900i | ||||
\(638\) | −4.44911 | + | 1.53514i | −0.176142 | + | 0.0607767i | ||||
\(639\) | 5.26692 | + | 19.9744i | 0.208356 | + | 0.790175i | ||||
\(640\) | −34.8801 | − | 1.06154i | −1.37876 | − | 0.0419611i | ||||
\(641\) | −8.82135 | − | 15.2790i | −0.348422 | − | 0.603485i | 0.637547 | − | 0.770412i | \(-0.279949\pi\) |
−0.985969 | + | 0.166926i | \(0.946616\pi\) | |||||||
\(642\) | −9.94764 | + | 2.00987i | −0.392602 | + | 0.0793232i | ||||
\(643\) | −27.9805 | + | 7.49737i | −1.10345 | + | 0.295667i | −0.764167 | − | 0.645019i | \(-0.776850\pi\) |
−0.339278 | + | 0.940686i | \(0.610183\pi\) | |||||||
\(644\) | −5.26760 | − | 37.1358i | −0.207572 | − | 1.46335i | ||||
\(645\) | −7.86358 | − | 60.6634i | −0.309628 | − | 2.38862i | ||||
\(646\) | −0.00692035 | − | 0.0980634i | −0.000272278 | − | 0.00385825i | ||||
\(647\) | 5.73725i | 0.225555i | 0.993620 | + | 0.112777i | \(0.0359747\pi\) | ||||
−0.993620 | + | 0.112777i | \(0.964025\pi\) | |||||||
\(648\) | −1.48596 | + | 25.4124i | −0.0583741 | + | 0.998295i | ||||
\(649\) | 1.71802i | 0.0674380i | ||||||||
\(650\) | 37.4132 | − | 2.64026i | 1.46746 | − | 0.103559i | ||||
\(651\) | 0.496880 | + | 3.83317i | 0.0194742 | + | 0.150234i | ||||
\(652\) | −8.90641 | + | 11.8508i | −0.348802 | + | 0.464111i | ||||
\(653\) | −37.5980 | + | 10.0743i | −1.47132 | + | 0.394239i | −0.903384 | − | 0.428832i | \(-0.858925\pi\) |
−0.567938 | + | 0.823072i | \(0.692259\pi\) | |||||||
\(654\) | 7.90271 | + | 39.1136i | 0.309020 | + | 1.52946i | ||||
\(655\) | 29.6942 | + | 51.4318i | 1.16025 | + | 2.00961i | ||||
\(656\) | 25.8839 | + | 6.38322i | 1.01060 | + | 0.249223i | ||||
\(657\) | 10.0939 | + | 38.2805i | 0.393802 | + | 1.49346i | ||||
\(658\) | 2.32467 | + | 6.73732i | 0.0906251 | + | 0.262648i | ||||
\(659\) | 10.2644 | − | 38.3072i | 0.399844 | − | 1.49224i | −0.413528 | − | 0.910492i | \(-0.635703\pi\) |
0.813371 | − | 0.581745i | \(-0.197630\pi\) | |||||||
\(660\) | −4.75871 | + | 1.31606i | −0.185232 | + | 0.0512276i | ||||
\(661\) | −1.47348 | − | 5.49909i | −0.0573116 | − | 0.213890i | 0.931331 | − | 0.364173i | \(-0.118648\pi\) |
−0.988643 | + | 0.150283i | \(0.951982\pi\) | |||||||
\(662\) | −19.9807 | − | 29.5817i | −0.776572 | − | 1.14973i | ||||
\(663\) | −0.417734 | + | 0.172057i | −0.0162234 | + | 0.00668214i | ||||
\(664\) | 1.15477 | + | 1.27756i | 0.0448139 | + | 0.0495791i | ||||
\(665\) | − | 9.93883i | − | 0.385411i | ||||||
\(666\) | −4.36793 | + | 1.48768i | −0.169254 | + | 0.0576464i | ||||
\(667\) | 46.4121 | − | 46.4121i | 1.79708 | − | 1.79708i | ||||
\(668\) | −9.74260 | + | 24.2030i | −0.376953 | + | 0.936441i | ||||
\(669\) | −4.37052 | − | 5.71933i | −0.168974 | − | 0.221122i | ||||
\(670\) | −4.74699 | + | 24.5049i | −0.183392 | + | 0.946706i | ||||
\(671\) | −0.284064 | + | 0.492013i | −0.0109662 | + | 0.0189940i | ||||
\(672\) | 19.6787 | − | 4.38765i | 0.759124 | − | 0.169257i | ||||
\(673\) | −2.23206 | − | 3.86604i | −0.0860396 | − | 0.149025i | 0.819794 | − | 0.572658i | \(-0.194088\pi\) |
−0.905834 | + | 0.423633i | \(0.860754\pi\) | |||||||
\(674\) | 4.81855 | − | 1.66261i | 0.185604 | − | 0.0640414i | ||||
\(675\) | −14.3886 | + | 18.5213i | −0.553817 | + | 0.712886i | ||||
\(676\) | 26.5464 | + | 33.8883i | 1.02102 | + | 1.30340i | ||||
\(677\) | −8.06369 | − | 2.16066i | −0.309913 | − | 0.0830409i | 0.100511 | − | 0.994936i | \(-0.467952\pi\) |
−0.410423 | + | 0.911895i | \(0.634619\pi\) | |||||||
\(678\) | 16.6385 | − | 8.26759i | 0.638998 | − | 0.317515i | ||||
\(679\) | 20.9681 | + | 12.1060i | 0.804683 | + | 0.464584i | ||||
\(680\) | 0.368554 | + | 0.118968i | 0.0141334 | + | 0.00456222i | ||||
\(681\) | −1.48017 | + | 11.0725i | −0.0567203 | + | 0.424300i | ||||
\(682\) | −0.706941 | + | 0.0498890i | −0.0270702 | + | 0.00191035i | ||||
\(683\) | 3.00972 | − | 3.00972i | 0.115164 | − | 0.115164i | −0.647177 | − | 0.762340i | \(-0.724050\pi\) |
0.762340 | + | 0.647177i | \(0.224050\pi\) | |||||||
\(684\) | 3.54312 | − | 8.70173i | 0.135475 | − | 0.332719i | ||||
\(685\) | −20.9082 | − | 20.9082i | −0.798863 | − | 0.798863i | ||||
\(686\) | 18.6309 | − | 21.4601i | 0.711329 | − | 0.819350i | ||||
\(687\) | 6.40550 | + | 15.5518i | 0.244385 | + | 0.593338i | ||||
\(688\) | −45.7914 | + | 0.916609i | −1.74578 | + | 0.0349454i | ||||
\(689\) | −10.1709 | + | 17.6165i | −0.387480 | + | 0.671135i | ||||
\(690\) | 51.6315 | − | 45.5555i | 1.96558 | − | 1.73427i | ||||
\(691\) | 7.65924 | − | 28.5847i | 0.291371 | − | 1.08741i | −0.652686 | − | 0.757629i | \(-0.726358\pi\) |
0.944057 | − | 0.329783i | \(-0.106976\pi\) | |||||||
\(692\) | −2.85232 | − | 0.346514i | −0.108429 | − | 0.0131725i | ||||
\(693\) | 2.47612 | − | 1.41647i | 0.0940601 | − | 0.0538071i | ||||
\(694\) | 9.88662 | − | 20.3036i | 0.375291 | − | 0.770713i | ||||
\(695\) | −18.8453 | + | 10.8804i | −0.714844 | + | 0.412715i | ||||
\(696\) | 26.8275 | + | 22.9161i | 1.01689 | + | 0.868633i | ||||
\(697\) | −0.256228 | − | 0.147933i | −0.00970532 | − | 0.00560337i | ||||
\(698\) | 18.3599 | − | 12.4010i | 0.694934 | − | 0.469386i | ||||
\(699\) | −4.94511 | − | 38.1490i | −0.187041 | − | 1.44293i | ||||
\(700\) | 17.2324 | + | 6.93667i | 0.651322 | + | 0.262181i | ||||
\(701\) | −1.29990 | − | 1.29990i | −0.0490966 | − | 0.0490966i | 0.682132 | − | 0.731229i | \(-0.261053\pi\) |
−0.731229 | + | 0.682132i | \(0.761053\pi\) | |||||||
\(702\) | −43.0823 | − | 2.86585i | −1.62604 | − | 0.108164i | ||||
\(703\) | 1.70309 | 0.0642331 | ||||||||
\(704\) | 0.592320 | + | 3.64898i | 0.0223239 | + | 0.137526i | ||||
\(705\) | −7.98559 | + | 10.3642i | −0.300755 | + | 0.390339i | ||||
\(706\) | −1.10582 | + | 5.70848i | −0.0416182 | + | 0.214841i | ||||
\(707\) | 11.6320 | − | 3.11678i | 0.437466 | − | 0.117219i | ||||
\(708\) | 11.1018 | − | 6.52880i | 0.417229 | − | 0.245367i | ||||
\(709\) | −36.6010 | − | 9.80720i | −1.37458 | − | 0.368317i | −0.505429 | − | 0.862868i | \(-0.668666\pi\) |
−0.869149 | + | 0.494551i | \(0.835333\pi\) | |||||||
\(710\) | 27.0043 | + | 13.1495i | 1.01345 | + | 0.493491i | ||||
\(711\) | 14.6396 | + | 14.7567i | 0.549027 | + | 0.553419i | ||||
\(712\) | −12.5880 | − | 8.14040i | −0.471755 | − | 0.305074i | ||||
\(713\) | 8.55933 | − | 4.94173i | 0.320550 | − | 0.185069i | ||||
\(714\) | −0.223322 | − | 0.0139620i | −0.00835761 | − | 0.000522514i | ||||
\(715\) | −2.16750 | − | 8.08922i | −0.0810599 | − | 0.302520i | ||||
\(716\) | 4.26136 | − | 5.67011i | 0.159255 | − | 0.211902i | ||||
\(717\) | −5.36438 | + | 12.8782i | −0.200337 | + | 0.480943i | ||||
\(718\) | −18.7188 | + | 21.5614i | −0.698581 | + | 0.804665i | ||||
\(719\) | 5.11125 | 0.190617 | 0.0953087 | − | 0.995448i | \(-0.469616\pi\) | ||||
0.0953087 | + | 0.995448i | \(0.469616\pi\) | |||||||
\(720\) | 26.5883 | + | 25.7493i | 0.990889 | + | 0.959619i | ||||
\(721\) | 2.70117 | 0.100597 | ||||||||
\(722\) | 15.3420 | − | 17.6718i | 0.570970 | − | 0.657676i | ||||
\(723\) | 10.6776 | + | 13.9729i | 0.397105 | + | 0.519658i | ||||
\(724\) | 24.5992 | + | 18.4875i | 0.914221 | + | 0.687081i | ||||
\(725\) | 8.41353 | + | 31.3997i | 0.312471 | + | 1.16616i | ||||
\(726\) | −11.7572 | − | 23.6613i | −0.436350 | − | 0.878153i | ||||
\(727\) | 18.6355 | − | 10.7592i | 0.691154 | − | 0.399038i | −0.112890 | − | 0.993607i | \(-0.536011\pi\) |
0.804044 | + | 0.594570i | \(0.202678\pi\) | |||||||
\(728\) | 7.17444 | + | 33.4371i | 0.265902 | + | 1.23926i | ||||
\(729\) | 19.3187 | − | 18.8623i | 0.715508 | − | 0.698605i | ||||
\(730\) | 51.7531 | + | 25.2007i | 1.91547 | + | 0.932719i | ||||
\(731\) | 0.490976 | + | 0.131557i | 0.0181594 | + | 0.00486580i | ||||
\(732\) | 4.25887 | − | 0.0341362i | 0.157412 | − | 0.00126171i | ||||
\(733\) | 2.98220 | − | 0.799079i | 0.110150 | − | 0.0295147i | −0.203323 | − | 0.979112i | \(-0.565174\pi\) |
0.313473 | + | 0.949597i | \(0.398507\pi\) | |||||||
\(734\) | −6.04603 | + | 31.2108i | −0.223163 | + | 1.15201i | ||||
\(735\) | 14.6445 | + | 1.95767i | 0.540169 | + | 0.0722096i | ||||
\(736\) | −29.7055 | − | 42.1361i | −1.09496 | − | 1.55316i | ||||
\(737\) | 2.64419 | 0.0973999 | ||||||||
\(738\) | −15.7336 | − | 23.4951i | −0.579161 | − | 0.864865i | ||||
\(739\) | 23.9990 | + | 23.9990i | 0.882818 | + | 0.882818i | 0.993820 | − | 0.111002i | \(-0.0354060\pi\) |
−0.111002 | + | 0.993820i | \(0.535406\pi\) | |||||||
\(740\) | −2.50537 | + | 6.22394i | −0.0920992 | + | 0.228797i | ||||
\(741\) | 14.7110 | + | 6.12786i | 0.540422 | + | 0.225112i | ||||
\(742\) | −8.34885 | + | 5.63915i | −0.306496 | + | 0.207020i | ||||
\(743\) | −14.4499 | − | 8.34266i | −0.530116 | − | 0.306062i | 0.210948 | − | 0.977497i | \(-0.432345\pi\) |
−0.741064 | + | 0.671435i | \(0.765678\pi\) | |||||||
\(744\) | 3.00889 | + | 4.37864i | 0.110311 | + | 0.160529i | ||||
\(745\) | −53.9230 | + | 31.1325i | −1.97559 | + | 1.14061i | ||||
\(746\) | −16.4438 | + | 33.7697i | −0.602051 | + | 1.23640i | ||||
\(747\) | 0.00727726 | − | 1.82656i | 0.000266261 | − | 0.0668304i | ||||
\(748\) | 0.00494772 | − | 0.0407271i | 0.000180907 | − | 0.00148913i | ||||
\(749\) | 2.20661 | − | 8.23519i | 0.0806278 | − | 0.300907i | ||||
\(750\) | −0.727717 | − | 3.60176i | −0.0265725 | − | 0.131518i | ||||
\(751\) | 17.1635 | − | 29.7281i | 0.626305 | − | 1.08479i | −0.361982 | − | 0.932185i | \(-0.617900\pi\) |
0.988287 | − | 0.152607i | \(-0.0487669\pi\) | |||||||
\(752\) | 7.06425 | + | 6.78699i | 0.257607 | + | 0.247496i | ||||
\(753\) | 16.5472 | − | 21.4760i | 0.603012 | − | 0.782628i | ||||
\(754\) | −39.2332 | + | 45.1910i | −1.42879 | + | 1.64576i | ||||
\(755\) | 9.73869 | + | 9.73869i | 0.354427 | + | 0.354427i | ||||
\(756\) | −18.5629 | − | 10.6178i | −0.675126 | − | 0.386164i | ||||
\(757\) | −24.0162 | + | 24.0162i | −0.872884 | + | 0.872884i | −0.992786 | − | 0.119902i | \(-0.961742\pi\) |
0.119902 | + | 0.992786i | \(0.461742\pi\) | |||||||
\(758\) | −13.2247 | + | 0.933273i | −0.480344 | + | 0.0338980i | ||||
\(759\) | −5.77806 | − | 4.45198i | −0.209730 | − | 0.161596i | ||||
\(760\) | −6.22534 | − | 12.1601i | −0.225817 | − | 0.441094i | ||||
\(761\) | −13.2713 | − | 7.66221i | −0.481086 | − | 0.277755i | 0.239783 | − | 0.970826i | \(-0.422924\pi\) |
−0.720869 | + | 0.693072i | \(0.756257\pi\) | |||||||
\(762\) | −21.7084 | − | 14.4107i | −0.786412 | − | 0.522045i | ||||
\(763\) | −32.3804 | − | 8.67629i | −1.17225 | − | 0.314103i | ||||
\(764\) | 20.7583 | − | 16.2610i | 0.751010 | − | 0.588303i | ||||
\(765\) | −0.203967 | − | 0.356554i | −0.00737444 | − | 0.0128912i | ||||
\(766\) | 5.31813 | − | 1.83499i | 0.192152 | − | 0.0663009i | ||||
\(767\) | 10.9227 | + | 18.9186i | 0.394395 | + | 0.683112i | ||||
\(768\) | 21.3286 | − | 17.6944i | 0.769630 | − | 0.638490i | ||||
\(769\) | 20.6394 | − | 35.7485i | 0.744276 | − | 1.28912i | −0.206256 | − | 0.978498i | \(-0.566128\pi\) |
0.950532 | − | 0.310626i | \(-0.100539\pi\) | |||||||
\(770\) | 0.788824 | − | 4.07207i | 0.0284272 | − | 0.146747i | ||||
\(771\) | −13.8274 | + | 33.1952i | −0.497983 | + | 1.19550i | ||||
\(772\) | 32.3497 | + | 13.0220i | 1.16429 | + | 0.468671i | ||||
\(773\) | 36.3711 | − | 36.3711i | 1.30818 | − | 1.30818i | 0.385448 | − | 0.922730i | \(-0.374047\pi\) |
0.922730 | − | 0.385448i | \(-0.125953\pi\) | |||||||
\(774\) | 36.5561 | + | 31.9930i | 1.31398 | + | 1.14996i | ||||
\(775\) | 4.89492i | 0.175831i | ||||||||
\(776\) | 33.2372 | + | 1.67788i | 1.19315 | + | 0.0602322i | ||||
\(777\) | 0.513628 | − | 3.84223i | 0.0184263 | − | 0.137839i | ||||
\(778\) | −3.72654 | − | 5.51720i | −0.133603 | − | 0.197801i | ||||
\(779\) | 2.70117 | + | 10.0809i | 0.0967793 | + | 0.361185i | ||||
\(780\) | −44.0353 | + | 44.7469i | −1.57672 | + | 1.60220i | ||||
\(781\) | 0.823519 | − | 3.07342i | 0.0294678 | − | 0.109975i | ||||
\(782\) | 0.186621 | + | 0.540861i | 0.00667355 | + | 0.0193412i | ||||
\(783\) | −4.66284 | − | 37.1312i | −0.166636 | − | 1.32696i | ||||
\(784\) | 2.64872 | − | 10.7405i | 0.0945970 | − | 0.383590i | ||||
\(785\) | −25.4089 | − | 44.0096i | −0.906883 | − | 1.57077i | ||||
\(786\) | −44.7057 | − | 15.0255i | −1.59460 | − | 0.535943i | ||||
\(787\) | 29.8060 | − | 7.98650i | 1.06247 | − | 0.284688i | 0.315074 | − | 0.949067i | \(-0.397971\pi\) |
0.747396 | + | 0.664379i | \(0.231304\pi\) | |||||||
\(788\) | −18.9087 | − | 14.2108i | −0.673594 | − | 0.506239i | ||||
\(789\) | 14.5157 | − | 11.0924i | 0.516772 | − | 0.394900i | ||||
\(790\) | 30.1487 | − | 2.12760i | 1.07264 | − | 0.0756968i | ||||
\(791\) | 15.6082i | 0.554963i | ||||||||
\(792\) | 2.14230 | − | 3.28400i | 0.0761233 | − | 0.116692i | ||||
\(793\) | 7.22401i | 0.256532i | ||||||||
\(794\) | −2.55338 | − | 36.1822i | −0.0906162 | − | 1.28406i | ||||
\(795\) | −17.0733 | − | 7.11188i | −0.605528 | − | 0.252232i | ||||
\(796\) | −30.9739 | + | 4.39356i | −1.09784 | + | 0.155725i | ||||
\(797\) | −25.7854 | + | 6.90917i | −0.913364 | + | 0.244735i | −0.684747 | − | 0.728781i | \(-0.740087\pi\) |
−0.228617 | + | 0.973516i | \(0.573420\pi\) | |||||||
\(798\) | 5.22201 | + | 5.91851i | 0.184857 | + | 0.209513i | ||||
\(799\) | −0.0543596 | − | 0.0941536i | −0.00192311 | − | 0.00333092i | ||||
\(800\) | 25.4286 | − | 2.30677i | 0.899037 | − | 0.0815566i | ||||
\(801\) | 4.05403 | + | 15.3746i | 0.143242 | + | 0.543235i | ||||
\(802\) | −6.61819 | + | 2.28357i | −0.233697 | + | 0.0806356i | ||||
\(803\) | 1.57826 | − | 5.89013i | 0.0556954 | − | 0.207858i | ||||
\(804\) | −10.0484 | − | 17.0866i | −0.354381 | − | 0.602599i | ||||
\(805\) | 14.9712 | + | 55.8735i | 0.527667 | + | 1.96928i | ||||
\(806\) | −7.46759 | + | 5.04391i | −0.263035 | + | 0.177664i | ||||
\(807\) | −1.02809 | − | 0.792137i | −0.0361904 | − | 0.0278846i | ||||
\(808\) | 12.2794 | − | 11.0992i | 0.431990 | − | 0.390470i | ||||
\(809\) | − | 41.9379i | − | 1.47446i | −0.675644 | − | 0.737228i | \(-0.736134\pi\) | ||
0.675644 | − | 0.737228i | \(-0.263866\pi\) | |||||||
\(810\) | −2.45146 | − | 39.1816i | −0.0861357 | − | 1.37670i | ||||
\(811\) | 0.250947 | − | 0.250947i | 0.00881196 | − | 0.00881196i | −0.702687 | − | 0.711499i | \(-0.748017\pi\) |
0.711499 | + | 0.702687i | \(0.248017\pi\) | |||||||
\(812\) | −27.2691 | + | 11.6163i | −0.956959 | + | 0.407652i | ||||
\(813\) | 24.6799 | − | 3.19917i | 0.865562 | − | 0.112200i | ||||
\(814\) | 0.697776 | + | 0.135170i | 0.0244570 | + | 0.00473772i | ||||
\(815\) | 11.4312 | − | 19.7994i | 0.400418 | − | 0.693544i | ||||
\(816\) | −0.281979 | + | 0.122799i | −0.00987123 | + | 0.00429882i | ||||
\(817\) | −8.96490 | − | 15.5277i | −0.313642 | − | 0.543244i | ||||
\(818\) | 6.62548 | + | 19.2018i | 0.231654 | + | 0.671377i | ||||
\(819\) | 18.2613 | − | 31.3405i | 0.638102 | − | 1.09513i | ||||
\(820\) | −40.8143 | − | 4.95832i | −1.42530 | − | 0.173152i | ||||
\(821\) | 18.7959 | + | 5.03635i | 0.655982 | + | 0.175770i | 0.571432 | − | 0.820650i | \(-0.306388\pi\) |
0.0845497 | + | 0.996419i | \(0.473055\pi\) | |||||||
\(822\) | 23.4362 | + | 1.46522i | 0.817432 | + | 0.0511055i | ||||
\(823\) | 34.7295 | + | 20.0511i | 1.21059 | + | 0.698936i | 0.962889 | − | 0.269899i | \(-0.0869904\pi\) |
0.247705 | + | 0.968836i | \(0.420324\pi\) | |||||||
\(824\) | 3.30487 | − | 1.69192i | 0.115131 | − | 0.0589408i | ||||
\(825\) | 3.34033 | − | 1.37582i | 0.116295 | − | 0.0478999i | ||||
\(826\) | 0.761647 | + | 10.7927i | 0.0265011 | + | 0.375528i | ||||
\(827\) | −39.0429 | + | 39.0429i | −1.35765 | + | 1.35765i | −0.480853 | + | 0.876801i | \(0.659673\pi\) |
−0.876801 | + | 0.480853i | \(0.840327\pi\) | |||||||
\(828\) | −6.81074 | + | 54.2560i | −0.236690 | + | 1.88552i | ||||
\(829\) | −18.5103 | − | 18.5103i | −0.642891 | − | 0.642891i | 0.308374 | − | 0.951265i | \(-0.400215\pi\) |
−0.951265 | + | 0.308374i | \(0.900215\pi\) | |||||||
\(830\) | −2.00552 | − | 1.74112i | −0.0696125 | − | 0.0604350i | ||||
\(831\) | −14.5665 | − | 1.94724i | −0.505306 | − | 0.0675491i | ||||
\(832\) | 29.7218 | + | 36.4164i | 1.03042 | + | 1.26251i | ||||
\(833\) | −0.0613849 | + | 0.106322i | −0.00212686 | + | 0.00368383i | ||||
\(834\) | 5.50557 | − | 16.3808i | 0.190642 | − | 0.567221i | ||||
\(835\) | 10.4140 | − | 38.8656i | 0.360392 | − | 1.34500i | ||||
\(836\) | −1.13925 | + | 0.892435i | −0.0394019 | + | 0.0308655i | ||||
\(837\) | 0.768900 | − | 5.58238i | 0.0265771 | − | 0.192955i | ||||
\(838\) | 32.1524 | + | 15.6563i | 1.11069 | + | 0.540837i | ||||
\(839\) | −9.12331 | + | 5.26735i | −0.314972 | + | 0.181849i | −0.649149 | − | 0.760661i | \(-0.724875\pi\) |
0.334177 | + | 0.942510i | \(0.391542\pi\) | |||||||
\(840\) | −29.3112 | + | 10.3773i | −1.01133 | + | 0.358051i | ||||
\(841\) | −19.8053 | − | 11.4346i | −0.682942 | − | 0.394297i | ||||
\(842\) | −4.07167 | − | 6.02817i | −0.140319 | − | 0.207744i | ||||
\(843\) | −9.88163 | + | 7.55121i | −0.340341 | + | 0.260078i | ||||
\(844\) | −15.1684 | − | 35.6077i | −0.522119 | − | 1.22567i | ||||
\(845\) | −46.9442 | − | 46.9442i | −1.61493 | − | 1.61493i | ||||
\(846\) | −0.690142 | − | 10.3676i | −0.0237276 | − | 0.356444i | ||||
\(847\) | 22.1961 | 0.762667 | ||||||||
\(848\) | −6.68262 | + | 12.1289i | −0.229482 | + | 0.416509i | ||||
\(849\) | 10.1628 | + | 24.6741i | 0.348787 | + | 0.846812i | ||||
\(850\) | −0.278195 | − | 0.0538907i | −0.00954199 | − | 0.00184844i | ||||
\(851\) | −9.57429 | + | 2.56542i | −0.328203 | + | 0.0879416i | ||||
\(852\) | −22.9898 | + | 6.35803i | −0.787618 | + | 0.217823i | ||||
\(853\) | −31.7237 | − | 8.50035i | −1.08620 | − | 0.291046i | −0.329067 | − | 0.944307i | \(-0.606734\pi\) |
−0.757133 | + | 0.653260i | \(0.773401\pi\) | |||||||
\(854\) | −1.56639 | + | 3.21681i | −0.0536009 | + | 0.110077i | ||||
\(855\) | −3.80594 | + | 13.9809i | −0.130161 | + | 0.478138i | ||||
\(856\) | −2.45846 | − | 11.4579i | −0.0840283 | − | 0.391622i | ||||
\(857\) | −32.9302 | + | 19.0123i | −1.12487 | + | 0.649447i | −0.942641 | − | 0.333808i | \(-0.891666\pi\) |
−0.182234 | + | 0.983255i | \(0.558333\pi\) | |||||||
\(858\) | 5.54093 | + | 3.67824i | 0.189164 | + | 0.125573i | ||||
\(859\) | 11.2230 | + | 41.8849i | 0.382925 | + | 1.42910i | 0.841412 | + | 0.540395i | \(0.181725\pi\) |
−0.458487 | + | 0.888701i | \(0.651608\pi\) | |||||||
\(860\) | 69.9340 | − | 9.91993i | 2.38473 | − | 0.338267i | ||||
\(861\) | 23.5575 | − | 3.05368i | 0.802838 | − | 0.104069i | ||||
\(862\) | 21.4557 | + | 18.6270i | 0.730784 | + | 0.634440i | ||||
\(863\) | −19.8437 | −0.675487 | −0.337744 | − | 0.941238i | \(-0.609664\pi\) | ||||
−0.337744 | + | 0.941238i | \(0.609664\pi\) | |||||||
\(864\) | −29.3622 | − | 1.36362i | −0.998923 | − | 0.0463914i | ||||
\(865\) | 4.43121 | 0.150666 | ||||||||
\(866\) | 23.3085 | + | 20.2355i | 0.792054 | + | 0.687632i | ||||
\(867\) | −29.1972 | + | 3.78473i | −0.991588 | + | 0.128536i | ||||
\(868\) | −4.41895 | + | 0.626815i | −0.149989 | + | 0.0212755i | ||||
\(869\) | −0.828675 | − | 3.09266i | −0.0281109 | − | 0.104911i | ||||
\(870\) | −45.3337 | − | 30.0939i | −1.53696 | − | 1.02028i | ||||
\(871\) | 29.1176 | − | 16.8110i | 0.986611 | − | 0.569620i | ||||
\(872\) | −45.0518 | + | 9.66654i | −1.52565 | + | 0.327350i | ||||
\(873\) | −24.8600 | − | 25.0589i | −0.841384 | − | 0.848115i | ||||
\(874\) | 8.83573 | − | 18.1454i | 0.298873 | − | 0.613778i | ||||
\(875\) | 2.98173 | + | 0.798951i | 0.100801 | + | 0.0270095i | ||||
\(876\) | −44.0594 | + | 12.1850i | −1.48863 | + | 0.411693i | ||||
\(877\) | 49.5131 | − | 13.2670i | 1.67194 | − | 0.447995i | 0.706307 | − | 0.707906i | \(-0.250360\pi\) |
0.965633 | + | 0.259911i | \(0.0836931\pi\) | |||||||
\(878\) | −41.2908 | − | 7.99868i | −1.39350 | − | 0.269942i | ||||
\(879\) | 10.4821 | + | 25.4493i | 0.353552 | + | 0.858384i | ||||
\(880\) | −1.58548 | − | 5.47625i | −0.0534465 | − | 0.184604i | ||||
\(881\) | −31.7902 | −1.07104 | −0.535519 | − | 0.844523i | \(-0.679884\pi\) | ||||
−0.535519 | + | 0.844523i | \(0.679884\pi\) | |||||||
\(882\) | −9.74927 | + | 6.52864i | −0.328275 | + | 0.219831i | ||||
\(883\) | 28.7423 | + | 28.7423i | 0.967255 | + | 0.967255i | 0.999481 | − | 0.0322259i | \(-0.0102596\pi\) |
−0.0322259 | + | 0.999481i | \(0.510260\pi\) | |||||||
\(884\) | −0.204448 | − | 0.479939i | −0.00687632 | − | 0.0161421i | ||||
\(885\) | −15.7820 | + | 12.0601i | −0.530506 | + | 0.405395i | ||||
\(886\) | 27.7140 | + | 41.0310i | 0.931070 | + | 1.37846i | ||||
\(887\) | 23.1996 | + | 13.3943i | 0.778966 | + | 0.449736i | 0.836064 | − | 0.548632i | \(-0.184851\pi\) |
−0.0570976 | + | 0.998369i | \(0.518185\pi\) | |||||||
\(888\) | −1.77822 | − | 5.02267i | −0.0596731 | − | 0.168550i | ||||
\(889\) | 18.9567 | − | 10.9447i | 0.635787 | − | 0.367072i | ||||
\(890\) | 20.7856 | + | 10.1214i | 0.696736 | + | 0.339269i | ||||
\(891\) | −4.02557 | + | 1.04434i | −0.134862 | + | 0.0349868i | ||||
\(892\) | 6.54309 | − | 5.12553i | 0.219079 | − | 0.171615i | ||||
\(893\) | −0.992572 | + | 3.70433i | −0.0332151 | + | 0.123961i | ||||
\(894\) | 15.7533 | − | 46.8711i | 0.526871 | − | 1.56761i | ||||
\(895\) | −5.46938 | + | 9.47324i | −0.182821 | + | 0.316655i | ||||
\(896\) | 5.33871 | + | 22.6606i | 0.178354 | + | 0.757039i | ||||
\(897\) | −91.9319 | − | 12.2894i | −3.06952 | − | 0.410332i | ||||
\(898\) | 29.5605 | + | 25.6633i | 0.986445 | + | 0.856395i | ||||
\(899\) | −5.52278 | − | 5.52278i | −0.184195 | − | 0.184195i | ||||
\(900\) | −21.5844 | − | 16.3567i | −0.719480 | − | 0.545223i | ||||
\(901\) | 0.108672 | − | 0.108672i | 0.00362040 | − | 0.00362040i | ||||
\(902\) | 0.306603 | + | 4.34465i | 0.0102088 | + | 0.144661i | ||||
\(903\) | −37.7347 | + | 15.5422i | −1.25573 | + | 0.517213i | ||||
\(904\) | 9.77644 | + | 19.0966i | 0.325159 | + | 0.635142i | ||||
\(905\) | −41.0986 | − | 23.7283i | −1.36616 | − | 0.788756i | ||||
\(906\) | −10.9162 | − | 0.682475i | −0.362666 | − | 0.0226737i | ||||
\(907\) | −15.9995 | − | 4.28704i | −0.531253 | − | 0.142349i | −0.0167863 | − | 0.999859i | \(-0.505343\pi\) |
−0.514467 | + | 0.857510i | \(0.672010\pi\) | |||||||
\(908\) | −12.8050 | − | 1.55562i | −0.424950 | − | 0.0516251i | ||||
\(909\) | −17.5562 | − | 0.0699463i | −0.582303 | − | 0.00231997i | ||||
\(910\) | −17.2026 | − | 49.8563i | −0.570262 | − | 1.65272i | ||||
\(911\) | 0.940538 | + | 1.62906i | 0.0311614 | + | 0.0539731i | 0.881186 | − | 0.472771i | \(-0.156746\pi\) |
−0.850024 | + | 0.526744i | \(0.823413\pi\) | |||||||
\(912\) | 10.0963 | + | 3.97039i | 0.334321 | + | 0.131473i | ||||
\(913\) | −0.140674 | + | 0.243655i | −0.00465564 | + | 0.00806381i | ||||
\(914\) | −22.1423 | − | 4.28932i | −0.732402 | − | 0.141878i | ||||
\(915\) | −6.51378 | + | 0.844358i | −0.215339 | + | 0.0279136i | ||||
\(916\) | −17.8676 | + | 7.61137i | −0.590363 | + | 0.251487i | ||||
\(917\) | 28.0162 | − | 28.0162i | 0.925177 | − | 0.925177i | ||||
\(918\) | 0.308800 | + | 0.105158i | 0.0101919 | + | 0.00347074i | ||||
\(919\) | − | 58.7898i | − | 1.93930i | −0.244501 | − | 0.969649i | \(-0.578624\pi\) | ||
0.244501 | − | 0.969649i | \(-0.421376\pi\) | |||||||
\(920\) | 53.3145 | + | 58.9835i | 1.75773 | + | 1.94463i | ||||
\(921\) | 14.3028 | + | 11.0203i | 0.471293 | + | 0.363130i | ||||
\(922\) | 22.0540 | − | 14.8961i | 0.726309 | − | 0.490578i | ||||
\(923\) | −10.4714 | − | 39.0799i | −0.344671 | − | 1.28633i | ||||
\(924\) | 1.66978 | + | 2.83935i | 0.0549319 | + | 0.0934077i | ||||
\(925\) | 1.27056 | − | 4.74180i | 0.0417758 | − | 0.155909i | ||||
\(926\) | 16.2437 | − | 5.60480i | 0.533802 | − | 0.184185i | ||||
\(927\) | −3.79973 | − | 1.03438i | −0.124799 | − | 0.0339734i | ||||
\(928\) | −26.0876 | + | 31.2930i | −0.856369 | + | 1.02724i | ||||
\(929\) | 17.0265 | + | 29.4908i | 0.558622 | + | 0.967562i | 0.997612 | + | 0.0690699i | \(0.0220032\pi\) |
−0.438990 | + | 0.898492i | \(0.644664\pi\) | |||||||
\(930\) | −5.42085 | − | 6.14387i | −0.177757 | − | 0.201465i | ||||
\(931\) | 4.18306 | − | 1.12085i | 0.137094 | − | 0.0367343i | ||||
\(932\) | 43.9789 | − | 6.23828i | 1.44058 | − | 0.204342i | ||||
\(933\) | 11.5087 | + | 4.79393i | 0.376777 | + | 0.156946i | ||||
\(934\) | −2.24839 | − | 31.8603i | −0.0735695 | − | 1.04250i | ||||
\(935\) | 0.0632715i | 0.00206920i | ||||||||
\(936\) | 2.71204 | − | 49.7833i | 0.0886458 | − | 1.62722i | ||||
\(937\) | 23.8098i | 0.777833i | 0.921273 | + | 0.388916i | \(0.127151\pi\) | ||||
−0.921273 | + | 0.388916i | \(0.872849\pi\) | |||||||
\(938\) | 16.6110 | − | 1.17225i | 0.542370 | − | 0.0382752i | ||||
\(939\) | 14.6702 | − | 11.2105i | 0.478744 | − | 0.365841i | ||||
\(940\) | −12.0773 | − | 9.07671i | −0.393919 | − | 0.296049i | ||||
\(941\) | −13.1052 | + | 3.51153i | −0.427217 | + | 0.114473i | −0.466020 | − | 0.884774i | \(-0.654312\pi\) |
0.0388023 | + | 0.999247i | \(0.487646\pi\) | |||||||
\(942\) | 38.2541 | + | 12.8572i | 1.24639 | + | 0.418909i | ||||
\(943\) | −30.3705 | − | 52.6032i | −0.988998 | − | 1.71300i | ||||
\(944\) | 7.69208 | + | 12.7278i | 0.250356 | + | 0.414255i | ||||
\(945\) | 30.3937 | + | 12.8028i | 0.988707 | + | 0.416476i | ||||
\(946\) | −2.44064 | − | 7.07341i | −0.0793519 | − | 0.229976i | ||||
\(947\) | 5.14006 | − | 19.1830i | 0.167030 | − | 0.623363i | −0.830743 | − | 0.556656i | \(-0.812084\pi\) |
0.997773 | − | 0.0667069i | \(-0.0212493\pi\) | |||||||
\(948\) | −16.8355 | + | 17.1076i | −0.546792 | + | 0.555628i | ||||
\(949\) | −20.0682 | − | 74.8957i | −0.651442 | − | 2.43122i | ||||
\(950\) | 5.59475 | + | 8.28312i | 0.181518 | + | 0.268740i | ||||
\(951\) | −3.44978 | + | 25.8063i | −0.111867 | + | 0.836826i | ||||
\(952\) | 0.0130266 | − | 0.258045i | 0.000422194 | − | 0.00836328i | ||||
\(953\) | − | 13.2336i | − | 0.428678i | −0.976759 | − | 0.214339i | \(-0.931240\pi\) | ||
0.976759 | − | 0.214339i | \(-0.0687598\pi\) | |||||||
\(954\) | 13.9037 | − | 4.73550i | 0.450150 | − | 0.153317i | ||||
\(955\) | −28.7557 | + | 28.7557i | −0.930512 | + | 0.930512i | ||||
\(956\) | −14.9437 | − | 6.01538i | −0.483313 | − | 0.194551i | ||||
\(957\) | −2.21649 | + | 5.32108i | −0.0716491 | + | 0.172006i | ||||
\(958\) | 4.98773 | − | 25.7477i | 0.161146 | − | 0.831869i | ||||
\(959\) | −9.86339 | + | 17.0839i | −0.318506 | + | 0.551668i | ||||
\(960\) | −29.3622 | + | 31.0561i | −0.947660 | + | 1.00233i | ||||
\(961\) | 14.9120 | + | 25.8283i | 0.481031 | + | 0.833170i | ||||
\(962\) | 8.54322 | − | 2.94779i | 0.275444 | − | 0.0950404i | ||||
\(963\) | −6.25759 | + | 10.7394i | −0.201648 | + | 0.346073i | ||||
\(964\) | −15.9854 | + | 12.5222i | −0.514855 | + | 0.403312i | ||||
\(965\) | −51.9479 | − | 13.9194i | −1.67226 | − | 0.448081i | ||||
\(966\) | −38.2720 | − | 25.4062i | −1.23138 | − | 0.817430i | ||||
\(967\) | −45.2656 | − | 26.1341i | −1.45564 | − | 0.840417i | −0.456852 | − | 0.889543i | \(-0.651023\pi\) |
−0.998793 | + | 0.0491262i | \(0.984356\pi\) | |||||||
\(968\) | 27.1568 | − | 13.9029i | 0.872854 | − | 0.446855i | ||||
\(969\) | −0.0953746 | − | 0.0734858i | −0.00306387 | − | 0.00236070i | ||||
\(970\) | −51.1967 | + | 3.61296i | −1.64383 | + | 0.116005i | ||||
\(971\) | −33.2081 | + | 33.2081i | −1.06570 | + | 1.06570i | −0.0680139 | + | 0.997684i | \(0.521666\pi\) |
−0.997684 | + | 0.0680139i | \(0.978334\pi\) | |||||||
\(972\) | 22.0464 | + | 22.0444i | 0.707140 | + | 0.707074i | ||||
\(973\) | 10.2655 | + | 10.2655i | 0.329098 | + | 0.329098i | ||||
\(974\) | 6.10822 | − | 7.03579i | 0.195720 | − | 0.225441i | ||||
\(975\) | 28.0363 | − | 36.3873i | 0.897881 | − | 1.16533i | ||||
\(976\) | 0.0984217 | + | 4.91689i | 0.00315040 | + | 0.157386i | ||||
\(977\) | 15.0366 | − | 26.0441i | 0.481063 | − | 0.833226i | −0.518701 | − | 0.854956i | \(-0.673584\pi\) |
0.999764 | + | 0.0217300i | \(0.00691743\pi\) | |||||||
\(978\) | 3.59571 | + | 17.7966i | 0.114978 | + | 0.569071i | ||||
\(979\) | 0.633876 | − | 2.36566i | 0.0202588 | − | 0.0756067i | ||||
\(980\) | −2.05745 | + | 16.9359i | −0.0657230 | + | 0.540997i | ||||
\(981\) | 42.2269 | + | 24.6045i | 1.34820 | + | 0.785562i | ||||
\(982\) | −3.11746 | + | 6.40214i | −0.0994822 | + | 0.204301i | ||||
\(983\) | 18.8575 | − | 10.8874i | 0.601460 | − | 0.347253i | −0.168155 | − | 0.985760i | \(-0.553781\pi\) |
0.769616 | + | 0.638507i | \(0.220448\pi\) | |||||||
\(984\) | 26.9098 | − | 18.4918i | 0.857854 | − | 0.589497i | ||||
\(985\) | 31.5914 | + | 18.2393i | 1.00658 | + | 0.581152i | ||||
\(986\) | 0.374681 | − | 0.253075i | 0.0119323 | − | 0.00805955i | ||||
\(987\) | 8.05776 | + | 3.35646i | 0.256481 | + | 0.106837i | ||||
\(988\) | −6.87151 | + | 17.0705i | −0.218612 | + | 0.543084i | ||||
\(989\) | 73.7882 | + | 73.7882i | 2.34633 | + | 2.34633i | ||||
\(990\) | −2.66898 | + | 5.42609i | −0.0848257 | + | 0.172453i | ||||
\(991\) | 21.5288 | 0.683884 | 0.341942 | − | 0.939721i | \(-0.388915\pi\) | ||||
0.341942 | + | 0.939721i | \(0.388915\pi\) | |||||||
\(992\) | −5.01396 | + | 3.53479i | −0.159193 | + | 0.112230i | ||||
\(993\) | −43.3348 | − | 5.79298i | −1.37519 | − | 0.183835i | ||||
\(994\) | 3.81089 | − | 19.6726i | 0.120874 | − | 0.623977i | ||||
\(995\) | 46.6025 | − | 12.4871i | 1.47740 | − | 0.395868i | ||||
\(996\) | 2.10908 | − | 0.0169049i | 0.0668288 | − | 0.000535653i | ||||
\(997\) | 30.6713 | + | 8.21836i | 0.971371 | + | 0.260278i | 0.709407 | − | 0.704799i | \(-0.248963\pi\) |
0.261964 | + | 0.965078i | \(0.415630\pi\) | |||||||
\(998\) | −27.6094 | − | 13.4441i | −0.873960 | − | 0.425566i | ||||
\(999\) | −2.19385 | + | 5.20817i | −0.0694103 | + | 0.164779i |
(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 | 144.2.x.e.13.14 | ✓ | 72 | |
3.2 | odd | 2 | 432.2.y.e.253.5 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.337.2 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.397.8 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.61.11 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.145.16 | 72 | |||
16.5 | even | 4 | inner | 144.2.x.e.85.11 | yes | 72 | |
16.11 | odd | 4 | 576.2.bb.e.49.9 | 72 | |||
36.7 | odd | 6 | 576.2.bb.e.529.9 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.721.3 | 72 | |||
48.5 | odd | 4 | 432.2.y.e.37.8 | 72 | |||
48.11 | even | 4 | 1728.2.bc.e.1009.3 | 72 | |||
144.11 | even | 12 | 1728.2.bc.e.1585.16 | 72 | |||
144.43 | odd | 12 | 576.2.bb.e.241.2 | 72 | |||
144.101 | odd | 12 | 432.2.y.e.181.5 | 72 | |||
144.133 | even | 12 | inner | 144.2.x.e.133.14 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.14 | ✓ | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.61.11 | yes | 72 | 9.7 | even | 3 | inner | |
144.2.x.e.85.11 | yes | 72 | 16.5 | even | 4 | inner | |
144.2.x.e.133.14 | yes | 72 | 144.133 | even | 12 | inner | |
432.2.y.e.37.8 | 72 | 48.5 | odd | 4 | |||
432.2.y.e.181.5 | 72 | 144.101 | odd | 12 | |||
432.2.y.e.253.5 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.397.8 | 72 | 9.2 | odd | 6 | |||
576.2.bb.e.49.9 | 72 | 16.11 | odd | 4 | |||
576.2.bb.e.241.2 | 72 | 144.43 | odd | 12 | |||
576.2.bb.e.337.2 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.529.9 | 72 | 36.7 | odd | 6 | |||
1728.2.bc.e.145.16 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.721.3 | 72 | 36.11 | even | 6 | |||
1728.2.bc.e.1009.3 | 72 | 48.11 | even | 4 | |||
1728.2.bc.e.1585.16 | 72 | 144.11 | even | 12 |