Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(34,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.r (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 34.1 | ||
Character | \(\chi\) | \(=\) | 483.34 |
Dual form | 483.2.r.a.412.1 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.18339 | + | 1.40318i | −1.54389 | + | 0.992197i | −0.557051 | + | 0.830478i | \(0.688067\pi\) |
−0.986837 | + | 0.161718i | \(0.948296\pi\) | |||||||
\(3\) | −0.989821 | − | 0.142315i | −0.571474 | − | 0.0821655i | ||||
\(4\) | 1.96744 | − | 4.30810i | 0.983721 | − | 2.15405i | ||||
\(5\) | −1.99005 | + | 0.584333i | −0.889979 | + | 0.261321i | −0.694591 | − | 0.719405i | \(-0.744415\pi\) |
−0.195388 | + | 0.980726i | \(0.562597\pi\) | |||||||
\(6\) | 2.36086 | − | 1.07817i | 0.963816 | − | 0.440160i | ||||
\(7\) | 1.49161 | − | 2.18520i | 0.563775 | − | 0.825928i | ||||
\(8\) | 1.01061 | + | 7.02895i | 0.357305 | + | 2.48511i | ||||
\(9\) | 0.959493 | + | 0.281733i | 0.319831 | + | 0.0939109i | ||||
\(10\) | 3.52514 | − | 4.06822i | 1.11475 | − | 1.28649i | ||||
\(11\) | −0.546146 | + | 0.849820i | −0.164669 | + | 0.256230i | −0.913776 | − | 0.406219i | \(-0.866847\pi\) |
0.749106 | + | 0.662450i | \(0.230483\pi\) | |||||||
\(12\) | −2.56052 | + | 3.98425i | −0.739159 | + | 1.15015i | ||||
\(13\) | 2.07798 | + | 1.80058i | 0.576327 | + | 0.499390i | 0.893552 | − | 0.448960i | \(-0.148205\pi\) |
−0.317225 | + | 0.948350i | \(0.602751\pi\) | |||||||
\(14\) | −0.190534 | + | 6.86413i | −0.0509224 | + | 1.83452i | ||||
\(15\) | 2.05296 | − | 0.295171i | 0.530071 | − | 0.0762127i | ||||
\(16\) | −5.86647 | − | 6.77027i | −1.46662 | − | 1.69257i | ||||
\(17\) | −1.29960 | − | 2.84573i | −0.315200 | − | 0.690191i | 0.684029 | − | 0.729455i | \(-0.260226\pi\) |
−0.999229 | + | 0.0392637i | \(0.987499\pi\) | |||||||
\(18\) | −2.49027 | + | 0.731208i | −0.586961 | + | 0.172347i | ||||
\(19\) | −2.30797 | + | 5.05375i | −0.529484 | + | 1.15941i | 0.436238 | + | 0.899831i | \(0.356311\pi\) |
−0.965722 | + | 0.259578i | \(0.916417\pi\) | |||||||
\(20\) | −1.39795 | + | 9.72299i | −0.312592 | + | 2.17413i | ||||
\(21\) | −1.78741 | + | 1.95068i | −0.390045 | + | 0.425673i | ||||
\(22\) | − | 2.62183i | − | 0.558975i | ||||||
\(23\) | 1.55518 | − | 4.53667i | 0.324278 | − | 0.945962i | ||||
\(24\) | − | 7.10123i | − | 1.44953i | ||||||
\(25\) | −0.587398 | + | 0.377498i | −0.117480 | + | 0.0754995i | ||||
\(26\) | −7.06356 | − | 1.01559i | −1.38528 | − | 0.199173i | ||||
\(27\) | −0.909632 | − | 0.415415i | −0.175059 | − | 0.0799467i | ||||
\(28\) | −6.47940 | − | 10.7253i | −1.22449 | − | 2.02688i | ||||
\(29\) | −0.204348 | − | 0.447459i | −0.0379464 | − | 0.0830911i | 0.889710 | − | 0.456527i | \(-0.150907\pi\) |
−0.927656 | + | 0.373436i | \(0.878180\pi\) | |||||||
\(30\) | −4.06822 | + | 3.52514i | −0.742753 | + | 0.643599i | ||||
\(31\) | −6.70072 | + | 0.963419i | −1.20349 | + | 0.173035i | −0.714739 | − | 0.699391i | \(-0.753455\pi\) |
−0.488746 | + | 0.872426i | \(0.662546\pi\) | |||||||
\(32\) | 8.68150 | + | 2.54912i | 1.53469 | + | 0.450625i | ||||
\(33\) | 0.661529 | − | 0.763445i | 0.115157 | − | 0.132899i | ||||
\(34\) | 6.83060 | + | 4.38976i | 1.17144 | + | 0.752837i | ||||
\(35\) | −1.69150 | + | 5.22026i | −0.285915 | + | 0.882386i | ||||
\(36\) | 3.10148 | − | 3.57930i | 0.516913 | − | 0.596549i | ||||
\(37\) | 0.106468 | − | 0.362596i | 0.0175032 | − | 0.0596104i | −0.950278 | − | 0.311402i | \(-0.899202\pi\) |
0.967782 | + | 0.251791i | \(0.0810197\pi\) | |||||||
\(38\) | −2.05212 | − | 14.2728i | −0.332897 | − | 2.31535i | ||||
\(39\) | −1.80058 | − | 2.07798i | −0.288323 | − | 0.332743i | ||||
\(40\) | −6.11842 | − | 13.3975i | −0.967407 | − | 2.11833i | ||||
\(41\) | 1.45543 | + | 4.95673i | 0.227299 | + | 0.774111i | 0.991610 | + | 0.129263i | \(0.0412611\pi\) |
−0.764311 | + | 0.644848i | \(0.776921\pi\) | |||||||
\(42\) | 1.16546 | − | 6.76715i | 0.179835 | − | 1.04419i | ||||
\(43\) | −8.56131 | − | 1.23093i | −1.30559 | − | 0.187715i | −0.545816 | − | 0.837905i | \(-0.683780\pi\) |
−0.759771 | + | 0.650190i | \(0.774689\pi\) | |||||||
\(44\) | 2.58660 | + | 4.02482i | 0.389944 | + | 0.606765i | ||||
\(45\) | −2.07407 | −0.309184 | ||||||||
\(46\) | 2.97019 | + | 12.0875i | 0.437931 | + | 1.78221i | ||||
\(47\) | − | 12.1543i | − | 1.77289i | −0.462837 | − | 0.886443i | \(-0.653169\pi\) | ||
0.462837 | − | 0.886443i | \(-0.346831\pi\) | |||||||
\(48\) | 4.84325 | + | 7.53624i | 0.699063 | + | 1.08776i | ||||
\(49\) | −2.55021 | − | 6.51893i | −0.364315 | − | 0.931276i | ||||
\(50\) | 0.752820 | − | 1.64845i | 0.106465 | − | 0.233126i | ||||
\(51\) | 0.881384 | + | 3.00172i | 0.123418 | + | 0.420324i | ||||
\(52\) | 11.8454 | − | 5.40960i | 1.64266 | − | 0.750176i | ||||
\(53\) | −0.165449 | + | 0.143362i | −0.0227261 | + | 0.0196923i | −0.666150 | − | 0.745818i | \(-0.732059\pi\) |
0.643424 | + | 0.765510i | \(0.277513\pi\) | |||||||
\(54\) | 2.56898 | − | 0.369364i | 0.349594 | − | 0.0502640i | ||||
\(55\) | 0.590283 | − | 2.01032i | 0.0795937 | − | 0.271071i | ||||
\(56\) | 16.8671 | + | 8.27606i | 2.25396 | + | 1.10594i | ||||
\(57\) | 3.00370 | − | 4.67385i | 0.397850 | − | 0.619066i | ||||
\(58\) | 1.07404 | + | 0.690241i | 0.141028 | + | 0.0906331i | ||||
\(59\) | −3.18828 | − | 2.76266i | −0.415079 | − | 0.359668i | 0.422145 | − | 0.906528i | \(-0.361277\pi\) |
−0.837224 | + | 0.546860i | \(0.815823\pi\) | |||||||
\(60\) | 2.76745 | − | 9.42507i | 0.357276 | − | 1.21677i | ||||
\(61\) | −1.30317 | − | 9.06375i | −0.166854 | − | 1.16049i | −0.885337 | − | 0.464950i | \(-0.846072\pi\) |
0.718483 | − | 0.695545i | \(-0.244837\pi\) | |||||||
\(62\) | 13.2784 | − | 11.5058i | 1.68636 | − | 1.46124i | ||||
\(63\) | 2.04683 | − | 1.67645i | 0.257876 | − | 0.211213i | ||||
\(64\) | −5.34100 | + | 1.56826i | −0.667625 | + | 0.196032i | ||||
\(65\) | −5.18742 | − | 2.36902i | −0.643421 | − | 0.293840i | ||||
\(66\) | −0.373125 | + | 2.59514i | −0.0459285 | + | 0.319440i | ||||
\(67\) | 5.08137 | + | 7.90677i | 0.620789 | + | 0.965966i | 0.999187 | + | 0.0403230i | \(0.0128387\pi\) |
−0.378398 | + | 0.925643i | \(0.623525\pi\) | |||||||
\(68\) | −14.8166 | −1.79677 | ||||||||
\(69\) | −2.18499 | + | 4.26917i | −0.263042 | + | 0.513948i | ||||
\(70\) | −3.63176 | − | 13.7713i | −0.434079 | − | 1.64599i | ||||
\(71\) | −8.80148 | + | 5.65636i | −1.04454 | + | 0.671287i | −0.946106 | − | 0.323856i | \(-0.895021\pi\) |
−0.0984367 | + | 0.995143i | \(0.531384\pi\) | |||||||
\(72\) | −1.01061 | + | 7.02895i | −0.119102 | + | 0.828370i | ||||
\(73\) | −10.4960 | − | 4.79338i | −1.22847 | − | 0.561022i | −0.307830 | − | 0.951441i | \(-0.599603\pi\) |
−0.920637 | + | 0.390419i | \(0.872330\pi\) | |||||||
\(74\) | 0.276326 | + | 0.941081i | 0.0321223 | + | 0.109398i | ||||
\(75\) | 0.635142 | − | 0.290060i | 0.0733399 | − | 0.0334932i | ||||
\(76\) | 17.2312 | + | 19.8859i | 1.97656 | + | 2.28107i | ||||
\(77\) | 1.04239 | + | 2.46104i | 0.118791 | + | 0.280461i | ||||
\(78\) | 6.84713 | + | 2.01050i | 0.775285 | + | 0.227644i | ||||
\(79\) | −5.51326 | − | 4.77727i | −0.620291 | − | 0.537485i | 0.287031 | − | 0.957921i | \(-0.407332\pi\) |
−0.907322 | + | 0.420436i | \(0.861877\pi\) | |||||||
\(80\) | 15.6307 | + | 10.0452i | 1.74756 | + | 1.12309i | ||||
\(81\) | 0.841254 | + | 0.540641i | 0.0934726 | + | 0.0600712i | ||||
\(82\) | −10.1329 | − | 8.78023i | −1.11899 | − | 0.969615i | ||||
\(83\) | −4.57899 | − | 1.34451i | −0.502610 | − | 0.147580i | 0.0205926 | − | 0.999788i | \(-0.493445\pi\) |
−0.523203 | + | 0.852208i | \(0.675263\pi\) | |||||||
\(84\) | 4.88709 | + | 11.5382i | 0.533225 | + | 1.25892i | ||||
\(85\) | 4.24913 | + | 4.90376i | 0.460883 | + | 0.531887i | ||||
\(86\) | 20.4199 | − | 9.32544i | 2.20193 | − | 1.00559i | ||||
\(87\) | 0.138588 | + | 0.471987i | 0.0148582 | + | 0.0506023i | ||||
\(88\) | −6.52529 | − | 2.98000i | −0.695598 | − | 0.317669i | ||||
\(89\) | −2.41840 | + | 16.8203i | −0.256349 | + | 1.78295i | 0.301964 | + | 0.953319i | \(0.402358\pi\) |
−0.558313 | + | 0.829630i | \(0.688551\pi\) | |||||||
\(90\) | 4.52849 | − | 2.91029i | 0.477345 | − | 0.306771i | ||||
\(91\) | 7.03415 | − | 1.85504i | 0.737380 | − | 0.194461i | ||||
\(92\) | −16.4847 | − | 15.6255i | −1.71865 | − | 1.62907i | ||||
\(93\) | 6.76963 | 0.701978 | ||||||||
\(94\) | 17.0546 | + | 26.5375i | 1.75905 | + | 2.73714i | ||||
\(95\) | 1.63991 | − | 11.4058i | 0.168252 | − | 1.17022i | ||||
\(96\) | −8.23036 | − | 3.75868i | −0.840008 | − | 0.383619i | ||||
\(97\) | −0.968153 | + | 0.284275i | −0.0983011 | + | 0.0288638i | −0.330513 | − | 0.943801i | \(-0.607222\pi\) |
0.232212 | + | 0.972665i | \(0.425404\pi\) | |||||||
\(98\) | 14.7153 | + | 10.6550i | 1.48647 | + | 1.07631i | ||||
\(99\) | −0.763445 | + | 0.661529i | −0.0767291 | + | 0.0664862i | ||||
\(100\) | 0.470625 | + | 3.27327i | 0.0470625 | + | 0.327327i | ||||
\(101\) | −4.17046 | + | 14.2033i | −0.414977 | + | 1.41328i | 0.441577 | + | 0.897223i | \(0.354419\pi\) |
−0.856554 | + | 0.516058i | \(0.827399\pi\) | |||||||
\(102\) | −6.13634 | − | 5.31717i | −0.607589 | − | 0.526479i | ||||
\(103\) | −11.7082 | − | 7.52441i | −1.15364 | − | 0.741402i | −0.183282 | − | 0.983060i | \(-0.558672\pi\) |
−0.970361 | + | 0.241659i | \(0.922309\pi\) | |||||||
\(104\) | −10.5562 | + | 16.4257i | −1.03512 | + | 1.61067i | ||||
\(105\) | 2.41720 | − | 4.92640i | 0.235895 | − | 0.480768i | ||||
\(106\) | 0.160076 | − | 0.545169i | 0.0155480 | − | 0.0529515i | ||||
\(107\) | −15.2327 | + | 2.19013i | −1.47260 | + | 0.211728i | −0.831413 | − | 0.555654i | \(-0.812468\pi\) |
−0.641189 | + | 0.767383i | \(0.721559\pi\) | |||||||
\(108\) | −3.57930 | + | 3.10148i | −0.344418 | + | 0.298440i | ||||
\(109\) | −18.0655 | + | 8.25026i | −1.73037 | + | 0.790232i | −0.736913 | + | 0.675988i | \(0.763717\pi\) |
−0.993453 | + | 0.114244i | \(0.963555\pi\) | |||||||
\(110\) | 1.53202 | + | 5.21758i | 0.146072 | + | 0.497476i | ||||
\(111\) | −0.156987 | + | 0.343753i | −0.0149005 | + | 0.0326276i | ||||
\(112\) | −23.5449 | + | 2.72083i | −2.22478 | + | 0.257094i | ||||
\(113\) | −4.05541 | − | 6.31035i | −0.381501 | − | 0.593627i | 0.596402 | − | 0.802686i | \(-0.296596\pi\) |
−0.977903 | + | 0.209058i | \(0.932960\pi\) | |||||||
\(114\) | 14.4195i | 1.35051i | ||||||||
\(115\) | −0.443975 | + | 9.93697i | −0.0414008 | + | 0.926627i | ||||
\(116\) | −2.32974 | −0.216311 | ||||||||
\(117\) | 1.48652 | + | 2.31308i | 0.137429 | + | 0.213844i | ||||
\(118\) | 10.8378 | + | 1.55823i | 0.997697 | + | 0.143447i | ||||
\(119\) | −8.15699 | − | 1.40483i | −0.747750 | − | 0.128780i | ||||
\(120\) | 4.14948 | + | 14.1318i | 0.378794 | + | 1.29005i | ||||
\(121\) | 4.14565 | + | 9.07770i | 0.376877 | + | 0.825245i | ||||
\(122\) | 15.5634 | + | 17.9611i | 1.40904 | + | 1.62612i | ||||
\(123\) | −0.735197 | − | 5.11340i | −0.0662904 | − | 0.461060i | ||||
\(124\) | −9.03278 | + | 30.7628i | −0.811168 | + | 2.76258i | ||||
\(125\) | 7.73950 | − | 8.93186i | 0.692242 | − | 0.798890i | ||||
\(126\) | −2.11667 | + | 6.53241i | −0.188568 | + | 0.581953i | ||||
\(127\) | 11.1692 | + | 7.17799i | 0.991104 | + | 0.636944i | 0.932437 | − | 0.361334i | \(-0.117678\pi\) |
0.0586676 | + | 0.998278i | \(0.481315\pi\) | |||||||
\(128\) | −2.38945 | + | 2.75757i | −0.211199 | + | 0.243737i | ||||
\(129\) | 8.29899 | + | 2.43680i | 0.730685 | + | 0.214548i | ||||
\(130\) | 14.6503 | − | 2.10640i | 1.28492 | − | 0.184743i | ||||
\(131\) | 12.8762 | − | 11.1573i | 1.12500 | − | 0.974814i | 0.125146 | − | 0.992138i | \(-0.460060\pi\) |
0.999850 | + | 0.0173243i | \(0.00551477\pi\) | |||||||
\(132\) | −1.98748 | − | 4.35197i | −0.172988 | − | 0.378790i | ||||
\(133\) | 7.60086 | + | 12.5816i | 0.659079 | + | 1.09096i | ||||
\(134\) | −22.1892 | − | 10.1335i | −1.91686 | − | 0.875399i | ||||
\(135\) | 2.05296 | + | 0.295171i | 0.176690 | + | 0.0254042i | ||||
\(136\) | 18.6891 | − | 12.0108i | 1.60258 | − | 1.02991i | ||||
\(137\) | − | 4.27656i | − | 0.365372i | −0.983171 | − | 0.182686i | \(-0.941521\pi\) | ||
0.983171 | − | 0.182686i | \(-0.0584791\pi\) | |||||||
\(138\) | −1.21972 | − | 12.3872i | −0.103830 | − | 1.05447i | ||||
\(139\) | 1.66501i | 0.141225i | 0.997504 | + | 0.0706123i | \(0.0224953\pi\) | ||||
−0.997504 | + | 0.0706123i | \(0.977505\pi\) | |||||||
\(140\) | 19.1615 | + | 17.5577i | 1.61944 | + | 1.48390i | ||||
\(141\) | −1.72974 | + | 12.0306i | −0.145670 | + | 1.01316i | ||||
\(142\) | 11.2801 | − | 24.7001i | 0.946609 | − | 2.07278i | ||||
\(143\) | −2.66505 | + | 0.782528i | −0.222862 | + | 0.0654383i | ||||
\(144\) | −3.72143 | − | 8.14880i | −0.310119 | − | 0.679067i | ||||
\(145\) | 0.668128 | + | 0.771061i | 0.0554850 | + | 0.0640332i | ||||
\(146\) | 29.6429 | − | 4.26200i | 2.45326 | − | 0.352726i | ||||
\(147\) | 1.59651 | + | 6.81551i | 0.131678 | + | 0.562134i | ||||
\(148\) | −1.35263 | − | 1.17206i | −0.111185 | − | 0.0963427i | ||||
\(149\) | −1.32442 | + | 2.06084i | −0.108501 | + | 0.168831i | −0.891258 | − | 0.453497i | \(-0.850176\pi\) |
0.782757 | + | 0.622328i | \(0.213813\pi\) | |||||||
\(150\) | −0.979756 | + | 1.52453i | −0.0799968 | + | 0.124477i | ||||
\(151\) | 0.444442 | − | 0.512914i | 0.0361682 | − | 0.0417403i | −0.737377 | − | 0.675481i | \(-0.763936\pi\) |
0.773545 | + | 0.633741i | \(0.218481\pi\) | |||||||
\(152\) | −37.8550 | − | 11.1152i | −3.07045 | − | 0.901565i | ||||
\(153\) | −0.445224 | − | 3.09660i | −0.0359942 | − | 0.250345i | ||||
\(154\) | −5.72922 | − | 3.91074i | −0.461673 | − | 0.315136i | ||||
\(155\) | 12.7718 | − | 5.83271i | 1.02586 | − | 0.468494i | ||||
\(156\) | −12.4947 | + | 3.66876i | −1.00037 | + | 0.293736i | ||||
\(157\) | −3.78997 | + | 8.29888i | −0.302473 | + | 0.662323i | −0.998445 | − | 0.0557456i | \(-0.982246\pi\) |
0.695972 | + | 0.718069i | \(0.254974\pi\) | |||||||
\(158\) | 18.7410 | + | 2.69454i | 1.49095 | + | 0.214366i | ||||
\(159\) | 0.184167 | − | 0.118357i | 0.0146054 | − | 0.00938633i | ||||
\(160\) | −18.7662 | −1.48360 | ||||||||
\(161\) | −7.59382 | − | 10.1653i | −0.598477 | − | 0.801140i | ||||
\(162\) | −2.59540 | −0.203914 | ||||||||
\(163\) | 8.09016 | − | 5.19923i | 0.633670 | − | 0.407235i | −0.183997 | − | 0.982927i | \(-0.558904\pi\) |
0.817667 | + | 0.575692i | \(0.195267\pi\) | |||||||
\(164\) | 24.2175 | + | 3.48196i | 1.89107 | + | 0.271895i | ||||
\(165\) | −0.870373 | + | 1.90585i | −0.0677584 | + | 0.148370i | ||||
\(166\) | 11.8843 | − | 3.48955i | 0.922401 | − | 0.270841i | ||||
\(167\) | 6.72684 | − | 3.07204i | 0.520538 | − | 0.237722i | −0.137778 | − | 0.990463i | \(-0.543996\pi\) |
0.658316 | + | 0.752741i | \(0.271269\pi\) | |||||||
\(168\) | −15.5176 | − | 10.5923i | −1.19721 | − | 0.817211i | ||||
\(169\) | −0.774183 | − | 5.38456i | −0.0595525 | − | 0.414197i | ||||
\(170\) | −16.1583 | − | 4.74452i | −1.23929 | − | 0.363888i | ||||
\(171\) | −3.63828 | + | 4.19880i | −0.278227 | + | 0.321091i | ||||
\(172\) | −22.1468 | + | 34.4612i | −1.68868 | + | 2.62764i | ||||
\(173\) | 3.24569 | − | 5.05039i | 0.246765 | − | 0.383974i | −0.695671 | − | 0.718361i | \(-0.744893\pi\) |
0.942436 | + | 0.334386i | \(0.108529\pi\) | |||||||
\(174\) | −0.964872 | − | 0.836066i | −0.0731468 | − | 0.0633820i | ||||
\(175\) | −0.0512595 | + | 1.84666i | −0.00387486 | + | 0.139594i | ||||
\(176\) | 8.95746 | − | 1.28789i | 0.675194 | − | 0.0970782i | ||||
\(177\) | 2.76266 | + | 3.18828i | 0.207654 | + | 0.239646i | ||||
\(178\) | −18.3216 | − | 40.1187i | −1.37326 | − | 3.00702i | ||||
\(179\) | −0.984461 | + | 0.289064i | −0.0735820 | + | 0.0216056i | −0.318316 | − | 0.947985i | \(-0.603117\pi\) |
0.244734 | + | 0.969590i | \(0.421299\pi\) | |||||||
\(180\) | −4.08061 | + | 8.93529i | −0.304151 | + | 0.665997i | ||||
\(181\) | 1.24975 | − | 8.69219i | 0.0928930 | − | 0.646085i | −0.889176 | − | 0.457565i | \(-0.848722\pi\) |
0.982069 | − | 0.188520i | \(-0.0603691\pi\) | |||||||
\(182\) | −12.7553 | + | 13.9204i | −0.945488 | + | 1.03185i | ||||
\(183\) | 9.15696i | 0.676902i | ||||||||
\(184\) | 33.4598 | + | 6.34651i | 2.46669 | + | 0.467871i | ||||
\(185\) | 0.783798i | 0.0576260i | ||||||||
\(186\) | −14.7807 | + | 9.49899i | −1.08377 | + | 0.696500i | ||||
\(187\) | 3.12813 | + | 0.449757i | 0.228752 | + | 0.0328895i | ||||
\(188\) | −52.3619 | − | 23.9129i | −3.81888 | − | 1.74403i | ||||
\(189\) | −2.26458 | + | 1.36809i | −0.164724 | + | 0.0995141i | ||||
\(190\) | 12.4239 | + | 27.2045i | 0.901322 | + | 1.97362i | ||||
\(191\) | 5.49422 | − | 4.76077i | 0.397548 | − | 0.344477i | −0.433030 | − | 0.901379i | \(-0.642556\pi\) |
0.830578 | + | 0.556902i | \(0.188010\pi\) | |||||||
\(192\) | 5.50982 | − | 0.792193i | 0.397637 | − | 0.0571716i | ||||
\(193\) | −10.2382 | − | 3.00619i | −0.736958 | − | 0.216390i | −0.108350 | − | 0.994113i | \(-0.534557\pi\) |
−0.628608 | + | 0.777722i | \(0.716375\pi\) | |||||||
\(194\) | 1.71496 | − | 1.97917i | 0.123127 | − | 0.142096i | ||||
\(195\) | 4.79748 | + | 3.08315i | 0.343554 | + | 0.220789i | ||||
\(196\) | −33.1016 | − | 1.83908i | −2.36440 | − | 0.131363i | ||||
\(197\) | −3.58337 | + | 4.13543i | −0.255305 | + | 0.294637i | −0.868904 | − | 0.494980i | \(-0.835175\pi\) |
0.613600 | + | 0.789617i | \(0.289721\pi\) | |||||||
\(198\) | 0.738654 | − | 2.51562i | 0.0524938 | − | 0.178778i | ||||
\(199\) | −1.40482 | − | 9.77074i | −0.0995851 | − | 0.692629i | −0.977053 | − | 0.212995i | \(-0.931678\pi\) |
0.877468 | − | 0.479635i | \(-0.159231\pi\) | |||||||
\(200\) | −3.24704 | − | 3.74729i | −0.229601 | − | 0.264973i | ||||
\(201\) | −3.90440 | − | 8.54945i | −0.275395 | − | 0.603031i | ||||
\(202\) | −10.8240 | − | 36.8632i | −0.761575 | − | 2.59369i | ||||
\(203\) | −1.28260 | − | 0.220893i | −0.0900206 | − | 0.0155037i | ||||
\(204\) | 14.6658 | + | 2.10862i | 1.02681 | + | 0.147633i | ||||
\(205\) | −5.79275 | − | 9.01370i | −0.404584 | − | 0.629544i | ||||
\(206\) | 36.1216 | 2.51671 | ||||||||
\(207\) | 2.77032 | − | 3.91476i | 0.192550 | − | 0.272095i | ||||
\(208\) | − | 24.6315i | − | 1.70789i | ||||||
\(209\) | −3.03429 | − | 4.72144i | −0.209886 | − | 0.326589i | ||||
\(210\) | 1.63493 | + | 14.1480i | 0.112821 | + | 0.976305i | ||||
\(211\) | 2.31217 | − | 5.06294i | 0.159176 | − | 0.348547i | −0.813194 | − | 0.581993i | \(-0.802273\pi\) |
0.972370 | + | 0.233446i | \(0.0750002\pi\) | |||||||
\(212\) | 0.292107 | + | 0.994826i | 0.0200620 | + | 0.0683249i | ||||
\(213\) | 9.51687 | − | 4.34621i | 0.652085 | − | 0.297797i | ||||
\(214\) | 30.1858 | − | 26.1561i | 2.06346 | − | 1.78800i | ||||
\(215\) | 17.7567 | − | 2.55303i | 1.21100 | − | 0.174115i | ||||
\(216\) | 2.00065 | − | 6.81358i | 0.136127 | − | 0.463606i | ||||
\(217\) | −7.88959 | + | 16.0795i | −0.535581 | + | 1.09155i | ||||
\(218\) | 27.8675 | − | 43.3627i | 1.88743 | − | 2.93689i | ||||
\(219\) | 9.70703 | + | 6.23833i | 0.655940 | + | 0.421547i | ||||
\(220\) | −7.49930 | − | 6.49818i | −0.505603 | − | 0.438107i | ||||
\(221\) | 2.42342 | − | 8.25340i | 0.163017 | − | 0.555183i | ||||
\(222\) | −0.139584 | − | 0.970827i | −0.00936826 | − | 0.0651577i | ||||
\(223\) | 20.4316 | − | 17.7041i | 1.36820 | − | 1.18556i | 0.405790 | − | 0.913966i | \(-0.366996\pi\) |
0.962413 | − | 0.271589i | \(-0.0875491\pi\) | |||||||
\(224\) | 18.5197 | − | 15.1685i | 1.23740 | − | 1.01349i | ||||
\(225\) | −0.669957 | + | 0.196717i | −0.0446638 | + | 0.0131145i | ||||
\(226\) | 17.7091 | + | 8.08746i | 1.17799 | + | 0.537970i | ||||
\(227\) | 1.74273 | − | 12.1210i | 0.115669 | − | 0.804496i | −0.846568 | − | 0.532281i | \(-0.821335\pi\) |
0.962237 | − | 0.272215i | \(-0.0877560\pi\) | |||||||
\(228\) | −14.2258 | − | 22.1358i | −0.942126 | − | 1.46598i | ||||
\(229\) | 14.1871 | 0.937511 | 0.468755 | − | 0.883328i | \(-0.344703\pi\) | ||||
0.468755 | + | 0.883328i | \(0.344703\pi\) | |||||||
\(230\) | −12.9740 | − | 22.3192i | −0.855478 | − | 1.47169i | ||||
\(231\) | −0.681539 | − | 2.58434i | −0.0448420 | − | 0.170037i | ||||
\(232\) | 2.93866 | − | 1.88856i | 0.192932 | − | 0.123990i | ||||
\(233\) | −4.07104 | + | 28.3147i | −0.266703 | + | 1.85496i | 0.212377 | + | 0.977188i | \(0.431879\pi\) |
−0.479080 | + | 0.877771i | \(0.659030\pi\) | |||||||
\(234\) | −6.49131 | − | 2.96448i | −0.424350 | − | 0.193794i | ||||
\(235\) | 7.10215 | + | 24.1877i | 0.463293 | + | 1.57783i | ||||
\(236\) | −18.1746 | + | 8.30005i | −1.18306 | + | 0.540287i | ||||
\(237\) | 4.77727 | + | 5.51326i | 0.310317 | + | 0.358125i | ||||
\(238\) | 19.7811 | − | 8.37843i | 1.28222 | − | 0.543093i | ||||
\(239\) | −27.3504 | − | 8.03080i | −1.76915 | − | 0.519469i | −0.775436 | − | 0.631426i | \(-0.782470\pi\) |
−0.993713 | + | 0.111957i | \(0.964288\pi\) | |||||||
\(240\) | −14.0420 | − | 12.1675i | −0.906407 | − | 0.785406i | ||||
\(241\) | 20.8894 | + | 13.4248i | 1.34560 | + | 0.864766i | 0.997358 | − | 0.0726373i | \(-0.0231416\pi\) |
0.348244 | + | 0.937404i | \(0.386778\pi\) | |||||||
\(242\) | −21.7892 | − | 14.0031i | −1.40066 | − | 0.900150i | ||||
\(243\) | −0.755750 | − | 0.654861i | −0.0484814 | − | 0.0420093i | ||||
\(244\) | −41.6114 | − | 12.2182i | −2.66390 | − | 0.782191i | ||||
\(245\) | 8.88427 | + | 11.4829i | 0.567595 | + | 0.733613i | ||||
\(246\) | 8.78023 | + | 10.1329i | 0.559807 | + | 0.646052i | ||||
\(247\) | −13.8956 | + | 6.34589i | −0.884154 | + | 0.403780i | ||||
\(248\) | −13.5436 | − | 46.1254i | −0.860023 | − | 2.92897i | ||||
\(249\) | 4.34104 | + | 1.98249i | 0.275102 | + | 0.125635i | ||||
\(250\) | −4.36534 | + | 30.3616i | −0.276088 | + | 1.92024i | ||||
\(251\) | 1.75130 | − | 1.12549i | 0.110541 | − | 0.0710405i | −0.484202 | − | 0.874956i | \(-0.660890\pi\) |
0.594743 | + | 0.803916i | \(0.297254\pi\) | |||||||
\(252\) | −3.19529 | − | 12.1163i | −0.201284 | − | 0.763253i | ||||
\(253\) | 3.00600 | + | 3.79931i | 0.188985 | + | 0.238861i | ||||
\(254\) | −34.4586 | −2.16213 | ||||||||
\(255\) | −3.50800 | − | 5.45856i | −0.219680 | − | 0.341828i | ||||
\(256\) | 2.93212 | − | 20.3933i | 0.183257 | − | 1.27458i | ||||
\(257\) | 7.63411 | + | 3.48638i | 0.476203 | + | 0.217474i | 0.639032 | − | 0.769180i | \(-0.279335\pi\) |
−0.162830 | + | 0.986654i | \(0.552062\pi\) | |||||||
\(258\) | −21.5392 | + | 6.32447i | −1.34097 | + | 0.393744i | ||||
\(259\) | −0.633537 | − | 0.773505i | −0.0393661 | − | 0.0480633i | ||||
\(260\) | −20.4119 | + | 17.6870i | −1.26589 | + | 1.09690i | ||||
\(261\) | −0.0700065 | − | 0.486906i | −0.00433329 | − | 0.0301387i | ||||
\(262\) | −12.4580 | + | 42.4282i | −0.769660 | + | 2.62122i | ||||
\(263\) | 16.2655 | + | 14.0942i | 1.00298 | + | 0.869084i | 0.991402 | − | 0.130849i | \(-0.0417703\pi\) |
0.0115742 | + | 0.999933i | \(0.496316\pi\) | |||||||
\(264\) | 6.03477 | + | 3.87831i | 0.371414 | + | 0.238694i | ||||
\(265\) | 0.245481 | − | 0.381975i | 0.0150798 | − | 0.0234646i | ||||
\(266\) | −34.2498 | − | 16.8051i | −2.09999 | − | 1.03039i | ||||
\(267\) | 4.78756 | − | 16.3049i | 0.292994 | − | 0.997846i | ||||
\(268\) | 44.0604 | − | 6.33494i | 2.69142 | − | 0.386968i | ||||
\(269\) | −16.3033 | + | 14.1269i | −0.994031 | + | 0.861333i | −0.990340 | − | 0.138660i | \(-0.955720\pi\) |
−0.00369140 | + | 0.999993i | \(0.501175\pi\) | |||||||
\(270\) | −4.89658 | + | 2.23619i | −0.297996 | + | 0.136090i | ||||
\(271\) | 3.61685 | + | 12.3179i | 0.219708 | + | 0.748257i | 0.993401 | + | 0.114696i | \(0.0365894\pi\) |
−0.773692 | + | 0.633561i | \(0.781592\pi\) | |||||||
\(272\) | −11.6423 | + | 25.4930i | −0.705917 | + | 1.54574i | ||||
\(273\) | −7.22656 | + | 0.835095i | −0.437371 | + | 0.0505422i | ||||
\(274\) | 6.00078 | + | 9.33740i | 0.362520 | + | 0.564093i | ||||
\(275\) | − | 0.705351i | − | 0.0425343i | ||||||
\(276\) | 14.0932 | + | 17.8125i | 0.848308 | + | 1.07219i | ||||
\(277\) | 7.49972 | 0.450615 | 0.225307 | − | 0.974288i | \(-0.427661\pi\) | ||||
0.225307 | + | 0.974288i | \(0.427661\pi\) | |||||||
\(278\) | −2.33631 | − | 3.63537i | −0.140123 | − | 0.218035i | ||||
\(279\) | −6.70072 | − | 0.963419i | −0.401162 | − | 0.0576784i | ||||
\(280\) | −38.4024 | − | 6.61381i | −2.29498 | − | 0.395250i | ||||
\(281\) | −5.47619 | − | 18.6502i | −0.326682 | − | 1.11258i | −0.945115 | − | 0.326739i | \(-0.894050\pi\) |
0.618433 | − | 0.785838i | \(-0.287768\pi\) | |||||||
\(282\) | −13.1044 | − | 28.6946i | −0.780353 | − | 1.70874i | ||||
\(283\) | −10.3526 | − | 11.9476i | −0.615400 | − | 0.710210i | 0.359427 | − | 0.933173i | \(-0.382972\pi\) |
−0.974827 | + | 0.222964i | \(0.928427\pi\) | |||||||
\(284\) | 7.05178 | + | 49.0462i | 0.418446 | + | 2.91036i | ||||
\(285\) | −3.24644 | + | 11.0564i | −0.192303 | + | 0.654923i | ||||
\(286\) | 4.72080 | − | 5.44810i | 0.279147 | − | 0.322153i | ||||
\(287\) | 13.0024 | + | 4.21310i | 0.767506 | + | 0.248691i | ||||
\(288\) | 7.61167 | + | 4.89172i | 0.448522 | + | 0.288248i | ||||
\(289\) | 4.72342 | − | 5.45111i | 0.277848 | − | 0.320654i | ||||
\(290\) | −2.54072 | − | 0.746022i | −0.149196 | − | 0.0438079i | ||||
\(291\) | 0.998755 | − | 0.143599i | 0.0585481 | − | 0.00841794i | ||||
\(292\) | −41.3007 | + | 35.7872i | −2.41694 | + | 2.09429i | ||||
\(293\) | 12.6884 | + | 27.7838i | 0.741265 | + | 1.62314i | 0.781462 | + | 0.623952i | \(0.214474\pi\) |
−0.0401972 | + | 0.999192i | \(0.512799\pi\) | |||||||
\(294\) | −13.0492 | − | 12.6407i | −0.761043 | − | 0.737221i | ||||
\(295\) | 7.95917 | + | 3.63483i | 0.463401 | + | 0.211628i | ||||
\(296\) | 2.65627 | + | 0.381914i | 0.154392 | + | 0.0221983i | ||||
\(297\) | 0.849820 | − | 0.546146i | 0.0493116 | − | 0.0316906i | ||||
\(298\) | − | 6.35803i | − | 0.368311i | ||||||
\(299\) | 11.4003 | − | 6.62687i | 0.659295 | − | 0.383242i | ||||
\(300\) | − | 3.30693i | − | 0.190926i | ||||||
\(301\) | −15.4599 | + | 16.8721i | −0.891097 | + | 0.972492i | ||||
\(302\) | −0.250680 | + | 1.74352i | −0.0144250 | + | 0.100328i | ||||
\(303\) | 6.14936 | − | 13.4652i | 0.353271 | − | 0.773556i | ||||
\(304\) | 47.7549 | − | 14.0221i | 2.73893 | − | 0.804222i | ||||
\(305\) | 7.88963 | + | 17.2759i | 0.451759 | + | 0.989214i | ||||
\(306\) | 5.31717 | + | 6.13634i | 0.303963 | + | 0.350791i | ||||
\(307\) | 30.6844 | − | 4.41175i | 1.75125 | − | 0.251792i | 0.809264 | − | 0.587445i | \(-0.199866\pi\) |
0.941985 | + | 0.335654i | \(0.108957\pi\) | |||||||
\(308\) | 12.6532 | + | 0.351228i | 0.720985 | + | 0.0200131i | ||||
\(309\) | 10.5182 | + | 9.11407i | 0.598359 | + | 0.518481i | ||||
\(310\) | −19.7016 | + | 30.6562i | −1.11897 | + | 1.74116i | ||||
\(311\) | 0.645723 | − | 1.00476i | 0.0366156 | − | 0.0569750i | −0.822463 | − | 0.568818i | \(-0.807401\pi\) |
0.859079 | + | 0.511843i | \(0.171037\pi\) | |||||||
\(312\) | 12.7863 | − | 14.7562i | 0.723883 | − | 0.835406i | ||||
\(313\) | −13.4674 | − | 3.95440i | −0.761224 | − | 0.223516i | −0.121994 | − | 0.992531i | \(-0.538929\pi\) |
−0.639231 | + | 0.769015i | \(0.720747\pi\) | |||||||
\(314\) | −3.36983 | − | 23.4377i | −0.190171 | − | 1.32267i | ||||
\(315\) | −3.09370 | + | 4.53226i | −0.174310 | + | 0.255364i | ||||
\(316\) | −31.4280 | + | 14.3527i | −1.76796 | + | 0.807401i | ||||
\(317\) | −12.9750 | + | 3.80980i | −0.728748 | + | 0.213980i | −0.625001 | − | 0.780624i | \(-0.714901\pi\) |
−0.103747 | + | 0.994604i | \(0.533083\pi\) | |||||||
\(318\) | −0.236032 | + | 0.516839i | −0.0132360 | + | 0.0289829i | ||||
\(319\) | 0.491864 | + | 0.0707193i | 0.0275391 | + | 0.00395952i | ||||
\(320\) | 9.71249 | − | 6.24184i | 0.542945 | − | 0.348930i | ||||
\(321\) | 15.3894 | 0.858951 | ||||||||
\(322\) | 30.8440 | + | 11.5394i | 1.71887 | + | 0.643065i | ||||
\(323\) | 17.3810 | 0.967107 | ||||||||
\(324\) | 3.98425 | − | 2.56052i | 0.221347 | − | 0.142251i | ||||
\(325\) | −1.90031 | − | 0.273224i | −0.105410 | − | 0.0151557i | ||||
\(326\) | −10.3685 | + | 22.7039i | −0.574259 | + | 1.25745i | ||||
\(327\) | 19.0558 | − | 5.59529i | 1.05379 | − | 0.309420i | ||||
\(328\) | −33.3697 | + | 15.2395i | −1.84254 | + | 0.841458i | ||||
\(329\) | −26.5596 | − | 18.1295i | −1.46428 | − | 0.999509i | ||||
\(330\) | −0.773886 | − | 5.38250i | −0.0426010 | − | 0.296297i | ||||
\(331\) | −11.8353 | − | 3.47516i | −0.650527 | − | 0.191012i | −0.0602126 | − | 0.998186i | \(-0.519178\pi\) |
−0.590314 | + | 0.807174i | \(0.700996\pi\) | |||||||
\(332\) | −14.8012 | + | 17.0815i | −0.812322 | + | 0.937469i | ||||
\(333\) | 0.204310 | − | 0.317913i | 0.0111961 | − | 0.0174215i | ||||
\(334\) | −10.3767 | + | 16.1464i | −0.567786 | + | 0.883492i | ||||
\(335\) | −14.7324 | − | 12.7657i | −0.804917 | − | 0.697464i | ||||
\(336\) | 23.6924 | + | 0.657654i | 1.29253 | + | 0.0358779i | ||||
\(337\) | −32.2360 | + | 4.63483i | −1.75600 | + | 0.252475i | −0.943710 | − | 0.330773i | \(-0.892691\pi\) |
−0.812294 | + | 0.583248i | \(0.801781\pi\) | |||||||
\(338\) | 9.24583 | + | 10.6703i | 0.502907 | + | 0.580386i | ||||
\(339\) | 3.11608 | + | 6.82326i | 0.169242 | + | 0.370589i | ||||
\(340\) | 29.4858 | − | 8.65780i | 1.59909 | − | 0.469535i | ||||
\(341\) | 2.84084 | − | 6.22058i | 0.153840 | − | 0.336863i | ||||
\(342\) | 2.05212 | − | 14.2728i | 0.110966 | − | 0.771783i | ||||
\(343\) | −18.0491 | − | 4.15098i | −0.974559 | − | 0.224132i | ||||
\(344\) | − | 61.4210i | − | 3.31160i | ||||||
\(345\) | 1.85363 | − | 9.77264i | 0.0997963 | − | 0.526141i | ||||
\(346\) | 15.5812i | 0.837653i | ||||||||
\(347\) | 20.0947 | − | 12.9141i | 1.07874 | − | 0.693265i | 0.124475 | − | 0.992223i | \(-0.460275\pi\) |
0.954266 | + | 0.298957i | \(0.0966389\pi\) | |||||||
\(348\) | 2.30603 | + | 0.331557i | 0.123616 | + | 0.0177733i | ||||
\(349\) | 12.3410 | + | 5.63593i | 0.660597 | + | 0.301685i | 0.717360 | − | 0.696703i | \(-0.245350\pi\) |
−0.0567624 | + | 0.998388i | \(0.518078\pi\) | |||||||
\(350\) | −2.47927 | − | 4.10390i | −0.132523 | − | 0.219363i | ||||
\(351\) | −1.14221 | − | 2.50109i | −0.0609665 | − | 0.133498i | ||||
\(352\) | −6.90766 | + | 5.98552i | −0.368180 | + | 0.319029i | ||||
\(353\) | −25.5982 | + | 3.68047i | −1.36246 | + | 0.195892i | −0.784476 | − | 0.620159i | \(-0.787068\pi\) |
−0.577980 | + | 0.816051i | \(0.696159\pi\) | |||||||
\(354\) | −10.5057 | − | 3.08475i | −0.558371 | − | 0.163953i | ||||
\(355\) | 14.2102 | − | 16.3995i | 0.754200 | − | 0.870393i | ||||
\(356\) | 67.7055 | + | 43.5117i | 3.58838 | + | 2.30611i | ||||
\(357\) | 7.87403 | + | 2.55139i | 0.416738 | + | 0.135034i | ||||
\(358\) | 1.74385 | − | 2.01251i | 0.0921654 | − | 0.106365i | ||||
\(359\) | 1.51344 | − | 5.15429i | 0.0798761 | − | 0.272033i | −0.909865 | − | 0.414904i | \(-0.863815\pi\) |
0.989741 | + | 0.142871i | \(0.0456334\pi\) | |||||||
\(360\) | −2.09608 | − | 14.5785i | −0.110473 | − | 0.768356i | ||||
\(361\) | −7.77128 | − | 8.96853i | −0.409015 | − | 0.472028i | ||||
\(362\) | 9.46800 | + | 20.7320i | 0.497627 | + | 1.08965i | ||||
\(363\) | −2.81156 | − | 9.57529i | −0.147569 | − | 0.502572i | ||||
\(364\) | 5.84759 | − | 33.9535i | 0.306497 | − | 1.77965i | ||||
\(365\) | 23.6886 | + | 3.40591i | 1.23992 | + | 0.178273i | ||||
\(366\) | −12.8488 | − | 19.9932i | −0.671620 | − | 1.04506i | ||||
\(367\) | 11.6178 | 0.606446 | 0.303223 | − | 0.952920i | \(-0.401937\pi\) | ||||
0.303223 | + | 0.952920i | \(0.401937\pi\) | |||||||
\(368\) | −39.8379 | + | 16.0852i | −2.07670 | + | 0.838502i | ||||
\(369\) | 5.16599i | 0.268931i | ||||||||
\(370\) | −1.09981 | − | 1.71133i | −0.0571763 | − | 0.0889681i | ||||
\(371\) | 0.0664903 | + | 0.575379i | 0.00345200 | + | 0.0298722i | ||||
\(372\) | 13.3188 | − | 29.1642i | 0.690550 | − | 1.51209i | ||||
\(373\) | −2.67715 | − | 9.11753i | −0.138618 | − | 0.472088i | 0.860697 | − | 0.509118i | \(-0.170028\pi\) |
−0.999314 | + | 0.0370302i | \(0.988210\pi\) | |||||||
\(374\) | −7.46101 | + | 3.40733i | −0.385800 | + | 0.176189i | ||||
\(375\) | −8.93186 | + | 7.73950i | −0.461239 | + | 0.399666i | ||||
\(376\) | 85.4320 | − | 12.2833i | 4.40582 | − | 0.633461i | ||||
\(377\) | 0.381055 | − | 1.29775i | 0.0196253 | − | 0.0668378i | ||||
\(378\) | 3.02478 | − | 6.16468i | 0.155578 | − | 0.317077i | ||||
\(379\) | −14.4188 | + | 22.4361i | −0.740646 | + | 1.15247i | 0.242590 | + | 0.970129i | \(0.422003\pi\) |
−0.983236 | + | 0.182338i | \(0.941633\pi\) | |||||||
\(380\) | −45.9111 | − | 29.5053i | −2.35519 | − | 1.51359i | ||||
\(381\) | −10.0340 | − | 8.69447i | −0.514055 | − | 0.445431i | ||||
\(382\) | −5.31580 | + | 18.1040i | −0.271980 | + | 0.926279i | ||||
\(383\) | −1.85296 | − | 12.8877i | −0.0946821 | − | 0.658528i | −0.980792 | − | 0.195054i | \(-0.937512\pi\) |
0.886110 | − | 0.463474i | \(-0.153397\pi\) | |||||||
\(384\) | 2.75757 | − | 2.38945i | 0.140722 | − | 0.121936i | ||||
\(385\) | −3.51248 | − | 4.28850i | −0.179012 | − | 0.218562i | ||||
\(386\) | 26.5721 | − | 7.80226i | 1.35248 | − | 0.397125i | ||||
\(387\) | −7.86772 | − | 3.59307i | −0.399939 | − | 0.182646i | ||||
\(388\) | −0.680099 | + | 4.73019i | −0.0345268 | + | 0.240139i | ||||
\(389\) | 6.99119 | + | 10.8785i | 0.354467 | + | 0.551562i | 0.971999 | − | 0.234984i | \(-0.0755037\pi\) |
−0.617532 | + | 0.786546i | \(0.711867\pi\) | |||||||
\(390\) | −14.8010 | −0.749476 | ||||||||
\(391\) | −14.9313 | + | 1.47023i | −0.755107 | + | 0.0743528i | ||||
\(392\) | 43.2440 | − | 24.5134i | 2.18415 | − | 1.23811i | ||||
\(393\) | −14.3329 | + | 9.21122i | −0.723001 | + | 0.464645i | ||||
\(394\) | 2.02114 | − | 14.0573i | 0.101824 | − | 0.708199i | ||||
\(395\) | 13.7632 | + | 6.28545i | 0.692502 | + | 0.316255i | ||||
\(396\) | 1.34790 | + | 4.59052i | 0.0677344 | + | 0.230682i | ||||
\(397\) | 18.5180 | − | 8.45688i | 0.929391 | − | 0.424439i | 0.107579 | − | 0.994197i | \(-0.465690\pi\) |
0.821813 | + | 0.569758i | \(0.192963\pi\) | |||||||
\(398\) | 16.7774 | + | 19.3621i | 0.840973 | + | 0.970534i | ||||
\(399\) | −5.73295 | − | 13.5352i | −0.287007 | − | 0.677610i | ||||
\(400\) | 6.00171 | + | 1.76226i | 0.300086 | + | 0.0881131i | ||||
\(401\) | 0.173162 | + | 0.150046i | 0.00864729 | + | 0.00749292i | 0.659174 | − | 0.751991i | \(-0.270906\pi\) |
−0.650526 | + | 0.759484i | \(0.725452\pi\) | |||||||
\(402\) | 20.5212 | + | 13.1882i | 1.02351 | + | 0.657767i | ||||
\(403\) | −15.6587 | − | 10.0632i | −0.780013 | − | 0.501284i | ||||
\(404\) | 52.9840 | + | 45.9109i | 2.63605 | + | 2.28415i | ||||
\(405\) | −1.99005 | − | 0.584333i | −0.0988866 | − | 0.0290357i | ||||
\(406\) | 3.11036 | − | 1.31741i | 0.154364 | − | 0.0653822i | ||||
\(407\) | 0.249994 | + | 0.288509i | 0.0123918 | + | 0.0143009i | ||||
\(408\) | −20.2082 | + | 9.22877i | −1.00045 | + | 0.456892i | ||||
\(409\) | −5.22976 | − | 17.8109i | −0.258595 | − | 0.880694i | −0.981777 | − | 0.190037i | \(-0.939139\pi\) |
0.723182 | − | 0.690658i | \(-0.242679\pi\) | |||||||
\(410\) | 25.2957 | + | 11.5521i | 1.24926 | + | 0.570519i | ||||
\(411\) | −0.608619 | + | 4.23303i | −0.0300209 | + | 0.208800i | ||||
\(412\) | −55.4511 | + | 35.6362i | −2.73188 | + | 1.75567i | ||||
\(413\) | −10.7926 | + | 2.84623i | −0.531071 | + | 0.140054i | ||||
\(414\) | −0.555570 | + | 12.4347i | −0.0273048 | + | 0.611131i | ||||
\(415\) | 9.89809 | 0.485878 | ||||||||
\(416\) | 13.4501 | + | 20.9287i | 0.659444 | + | 1.02612i | ||||
\(417\) | 0.236956 | − | 1.64807i | 0.0116038 | − | 0.0807062i | ||||
\(418\) | 13.2500 | + | 6.05109i | 0.648081 | + | 0.295969i | ||||
\(419\) | −9.30302 | + | 2.73161i | −0.454482 | + | 0.133448i | −0.500958 | − | 0.865471i | \(-0.667019\pi\) |
0.0464761 | + | 0.998919i | \(0.485201\pi\) | |||||||
\(420\) | −16.4677 | − | 20.1060i | −0.803542 | − | 0.981070i | ||||
\(421\) | 3.80770 | − | 3.29939i | 0.185576 | − | 0.160802i | −0.557118 | − | 0.830433i | \(-0.688093\pi\) |
0.742694 | + | 0.669631i | \(0.233548\pi\) | |||||||
\(422\) | 2.05585 | + | 14.2987i | 0.100077 | + | 0.696052i | ||||
\(423\) | 3.42426 | − | 11.6620i | 0.166493 | − | 0.567024i | ||||
\(424\) | −1.17489 | − | 1.01805i | −0.0570577 | − | 0.0494408i | ||||
\(425\) | 1.83764 | + | 1.18098i | 0.0891386 | + | 0.0572859i | ||||
\(426\) | −14.6805 | + | 22.8433i | −0.711273 | + | 1.10676i | ||||
\(427\) | −21.7499 | − | 10.6719i | −1.05255 | − | 0.516449i | ||||
\(428\) | −20.5342 | + | 69.9330i | −0.992557 | + | 3.38034i | ||||
\(429\) | 2.74929 | − | 0.395288i | 0.132737 | − | 0.0190847i | ||||
\(430\) | −35.1875 | + | 30.4901i | −1.69689 | + | 1.47036i | ||||
\(431\) | 26.9270 | − | 12.2971i | 1.29703 | − | 0.592333i | 0.357215 | − | 0.934022i | \(-0.383726\pi\) |
0.939813 | + | 0.341689i | \(0.110999\pi\) | |||||||
\(432\) | 2.52386 | + | 8.59547i | 0.121429 | + | 0.413550i | ||||
\(433\) | −12.7693 | + | 27.9609i | −0.613655 | + | 1.34372i | 0.306391 | + | 0.951906i | \(0.400878\pi\) |
−0.920046 | + | 0.391811i | \(0.871849\pi\) | |||||||
\(434\) | −5.33631 | − | 46.1782i | −0.256151 | − | 2.21663i | ||||
\(435\) | −0.551594 | − | 0.858298i | −0.0264469 | − | 0.0411522i | ||||
\(436\) | 94.0600i | 4.50466i | ||||||||
\(437\) | 19.3379 | + | 18.3300i | 0.925056 | + | 0.876843i | ||||
\(438\) | −29.9477 | −1.43096 | ||||||||
\(439\) | −20.0437 | − | 31.1886i | −0.956635 | − | 1.48855i | −0.870440 | − | 0.492274i | \(-0.836166\pi\) |
−0.0861944 | − | 0.996278i | \(-0.527471\pi\) | |||||||
\(440\) | 14.7270 | + | 2.11742i | 0.702081 | + | 0.100944i | ||||
\(441\) | −0.610310 | − | 6.97334i | −0.0290624 | − | 0.332064i | ||||
\(442\) | 6.28973 | + | 21.4208i | 0.299172 | + | 1.01889i | ||||
\(443\) | −7.05817 | − | 15.4552i | −0.335344 | − | 0.734301i | 0.664573 | − | 0.747224i | \(-0.268614\pi\) |
−0.999916 | + | 0.0129231i | \(0.995886\pi\) | |||||||
\(444\) | 1.17206 | + | 1.35263i | 0.0556235 | + | 0.0641930i | ||||
\(445\) | −5.01592 | − | 34.8865i | −0.237777 | − | 1.65378i | ||||
\(446\) | −19.7682 | + | 67.3242i | −0.936049 | + | 3.18789i | ||||
\(447\) | 1.60423 | − | 1.85138i | 0.0758776 | − | 0.0875674i | ||||
\(448\) | −4.53972 | + | 14.0104i | −0.214482 | + | 0.661929i | ||||
\(449\) | 5.61401 | + | 3.60791i | 0.264942 | + | 0.170268i | 0.666367 | − | 0.745624i | \(-0.267849\pi\) |
−0.401425 | + | 0.915892i | \(0.631485\pi\) | |||||||
\(450\) | 1.18675 | − | 1.36958i | 0.0559438 | − | 0.0645626i | ||||
\(451\) | −5.00720 | − | 1.47025i | −0.235780 | − | 0.0692312i | ||||
\(452\) | −35.1644 | + | 5.05587i | −1.65399 | + | 0.237808i | ||||
\(453\) | −0.512914 | + | 0.444442i | −0.0240988 | + | 0.0208817i | ||||
\(454\) | 13.2028 | + | 28.9101i | 0.619638 | + | 1.35682i | ||||
\(455\) | −12.9144 | + | 7.80192i | −0.605436 | + | 0.365759i | ||||
\(456\) | 35.8878 | + | 16.3894i | 1.68060 | + | 0.767505i | ||||
\(457\) | 14.6726 | + | 2.10960i | 0.686355 | + | 0.0986829i | 0.476665 | − | 0.879085i | \(-0.341846\pi\) |
0.209690 | + | 0.977768i | \(0.432755\pi\) | |||||||
\(458\) | −30.9760 | + | 19.9070i | −1.44741 | + | 0.930195i | ||||
\(459\) | 3.12844i | 0.146023i | ||||||||
\(460\) | 41.9359 | + | 21.4631i | 1.95527 | + | 1.00072i | ||||
\(461\) | 19.3620i | 0.901780i | 0.892580 | + | 0.450890i | \(0.148893\pi\) | ||||
−0.892580 | + | 0.450890i | \(0.851107\pi\) | |||||||
\(462\) | 5.11435 | + | 4.68629i | 0.237941 | + | 0.218026i | ||||
\(463\) | 1.84806 | − | 12.8535i | 0.0858865 | − | 0.597354i | −0.900740 | − | 0.434358i | \(-0.856975\pi\) |
0.986627 | − | 0.162996i | \(-0.0521157\pi\) | |||||||
\(464\) | −1.83062 | + | 4.00850i | −0.0849844 | + | 0.186090i | ||||
\(465\) | −13.4719 | + | 3.95571i | −0.624746 | + | 0.183442i | ||||
\(466\) | −30.8419 | − | 67.5344i | −1.42872 | − | 3.12847i | ||||
\(467\) | −18.3242 | − | 21.1472i | −0.847942 | − | 0.978577i | 0.152010 | − | 0.988379i | \(-0.451425\pi\) |
−0.999952 | + | 0.00980155i | \(0.996880\pi\) | |||||||
\(468\) | 12.8896 | − | 1.85325i | 0.595822 | − | 0.0856663i | ||||
\(469\) | 24.8573 | + | 0.689988i | 1.14780 | + | 0.0318607i | ||||
\(470\) | −49.4464 | − | 42.8455i | −2.28079 | − | 1.97632i | ||||
\(471\) | 4.93245 | − | 7.67504i | 0.227275 | − | 0.353647i | ||||
\(472\) | 16.1965 | − | 25.2023i | 0.745505 | − | 1.16003i | ||||
\(473\) | 5.72179 | − | 6.60330i | 0.263088 | − | 0.303620i | ||||
\(474\) | −18.1667 | − | 5.33423i | −0.834425 | − | 0.245009i | ||||
\(475\) | −0.552082 | − | 3.83981i | −0.0253312 | − | 0.176183i | ||||
\(476\) | −22.1005 | + | 32.3772i | −1.01298 | + | 1.48401i | ||||
\(477\) | −0.199137 | + | 0.0909426i | −0.00911784 | + | 0.00416398i | ||||
\(478\) | 70.9851 | − | 20.8431i | 3.24678 | − | 0.953342i | ||||
\(479\) | −3.88339 | + | 8.50345i | −0.177437 | + | 0.388532i | −0.977364 | − | 0.211565i | \(-0.932144\pi\) |
0.799927 | + | 0.600097i | \(0.204871\pi\) | |||||||
\(480\) | 18.5752 | + | 2.67071i | 0.847837 | + | 0.121901i | ||||
\(481\) | 0.874120 | − | 0.561763i | 0.0398564 | − | 0.0256142i | ||||
\(482\) | −64.4470 | −2.93548 | ||||||||
\(483\) | 6.06984 | + | 11.1426i | 0.276187 | + | 0.507005i | ||||
\(484\) | 47.2639 | 2.14836 | ||||||||
\(485\) | 1.76057 | − | 1.13145i | 0.0799432 | − | 0.0513764i | ||||
\(486\) | 2.56898 | + | 0.369364i | 0.116531 | + | 0.0167547i | ||||
\(487\) | −17.9230 | + | 39.2460i | −0.812170 | + | 1.77840i | −0.214384 | + | 0.976749i | \(0.568774\pi\) |
−0.597786 | + | 0.801655i | \(0.703953\pi\) | |||||||
\(488\) | 62.3917 | − | 18.3199i | 2.82434 | − | 0.829301i | ||||
\(489\) | −8.74774 | + | 3.99496i | −0.395587 | + | 0.180658i | ||||
\(490\) | −35.5103 | − | 12.6053i | −1.60419 | − | 0.569450i | ||||
\(491\) | 4.22050 | + | 29.3542i | 0.190468 | + | 1.32474i | 0.830771 | + | 0.556614i | \(0.187900\pi\) |
−0.640303 | + | 0.768123i | \(0.721191\pi\) | |||||||
\(492\) | −23.4755 | − | 6.89303i | −1.05836 | − | 0.310762i | ||||
\(493\) | −1.00778 | + | 1.16304i | −0.0453880 | + | 0.0523806i | ||||
\(494\) | 21.4350 | − | 33.3535i | 0.964406 | − | 1.50064i | ||||
\(495\) | 1.13274 | − | 1.76258i | 0.0509131 | − | 0.0792223i | ||||
\(496\) | 45.8322 | + | 39.7138i | 2.05793 | + | 1.78320i | ||||
\(497\) | −0.768065 | + | 27.6701i | −0.0344524 | + | 1.24117i | ||||
\(498\) | −12.2600 | + | 1.76272i | −0.549382 | + | 0.0789892i | ||||
\(499\) | −5.33474 | − | 6.15662i | −0.238816 | − | 0.275608i | 0.623672 | − | 0.781686i | \(-0.285640\pi\) |
−0.862488 | + | 0.506078i | \(0.831095\pi\) | |||||||
\(500\) | −23.2523 | − | 50.9154i | −1.03987 | − | 2.27701i | ||||
\(501\) | −7.09556 | + | 2.08345i | −0.317006 | + | 0.0930815i | ||||
\(502\) | −2.24450 | + | 4.91478i | −0.100177 | + | 0.219357i | ||||
\(503\) | −1.29185 | + | 8.98504i | −0.0576009 | + | 0.400623i | 0.940540 | + | 0.339682i | \(0.110319\pi\) |
−0.998141 | + | 0.0609413i | \(0.980590\pi\) | |||||||
\(504\) | 13.8522 | + | 12.6928i | 0.617028 | + | 0.565384i | ||||
\(505\) | − | 30.7023i | − | 1.36623i | ||||||
\(506\) | −11.8944 | − | 4.07742i | −0.528769 | − | 0.181264i | ||||
\(507\) | 5.43993i | 0.241596i | ||||||||
\(508\) | 52.8982 | − | 33.9956i | 2.34698 | − | 1.50831i | ||||
\(509\) | 16.1695 | + | 2.32482i | 0.716701 | + | 0.103046i | 0.491011 | − | 0.871153i | \(-0.336627\pi\) |
0.225690 | + | 0.974199i | \(0.427536\pi\) | |||||||
\(510\) | 15.3187 | + | 6.99579i | 0.678321 | + | 0.309779i | ||||
\(511\) | −26.1305 | + | 15.7861i | −1.15594 | + | 0.698336i | ||||
\(512\) | 19.1820 | + | 42.0027i | 0.847732 | + | 1.85627i | ||||
\(513\) | 4.19880 | − | 3.63828i | 0.185382 | − | 0.160634i | ||||
\(514\) | −21.5602 | + | 3.09989i | −0.950981 | + | 0.136730i | ||||
\(515\) | 27.6967 | + | 8.13249i | 1.22046 | + | 0.358360i | ||||
\(516\) | 26.8258 | − | 30.9586i | 1.18094 | − | 1.36287i | ||||
\(517\) | 10.3290 | + | 6.63802i | 0.454267 | + | 0.291940i | ||||
\(518\) | 2.46862 | + | 0.799896i | 0.108465 | + | 0.0351454i | ||||
\(519\) | −3.93140 | + | 4.53708i | −0.172569 | + | 0.199156i | ||||
\(520\) | 11.4092 | − | 38.8563i | 0.500328 | − | 1.70396i | ||||
\(521\) | −0.822922 | − | 5.72355i | −0.0360529 | − | 0.250753i | 0.963822 | − | 0.266545i | \(-0.0858822\pi\) |
−0.999875 | + | 0.0157919i | \(0.994973\pi\) | |||||||
\(522\) | 0.836066 | + | 0.964872i | 0.0365936 | + | 0.0422313i | ||||
\(523\) | 0.508065 | + | 1.11251i | 0.0222161 | + | 0.0486465i | 0.920415 | − | 0.390943i | \(-0.127851\pi\) |
−0.898199 | + | 0.439590i | \(0.855124\pi\) | |||||||
\(524\) | −22.7334 | − | 77.4230i | −0.993115 | − | 3.38224i | ||||
\(525\) | 0.313545 | − | 1.82057i | 0.0136842 | − | 0.0794562i | ||||
\(526\) | −55.2906 | − | 7.94959i | −2.41079 | − | 0.346619i | ||||
\(527\) | 11.4499 | + | 17.8164i | 0.498765 | + | 0.776094i | ||||
\(528\) | −9.04957 | −0.393832 | ||||||||
\(529\) | −18.1628 | − | 14.1107i | −0.789687 | − | 0.613510i | ||||
\(530\) | 1.17845i | 0.0511887i | ||||||||
\(531\) | −2.28080 | − | 3.54900i | −0.0989784 | − | 0.154013i | ||||
\(532\) | 69.1570 | − | 7.99172i | 2.99833 | − | 0.346485i | ||||
\(533\) | −5.90063 | + | 12.9206i | −0.255585 | + | 0.559652i | ||||
\(534\) | 12.4256 | + | 42.3178i | 0.537709 | + | 1.83127i | ||||
\(535\) | 29.0342 | − | 13.2595i | 1.25526 | − | 0.573257i | ||||
\(536\) | −50.4410 | + | 43.7074i | −2.17872 | + | 1.88787i | ||||
\(537\) | 1.01558 | − | 0.146018i | 0.0438254 | − | 0.00630115i | ||||
\(538\) | 15.7739 | − | 53.7210i | 0.680061 | − | 2.31608i | ||||
\(539\) | 6.93270 | + | 1.39307i | 0.298613 | + | 0.0600039i | ||||
\(540\) | 5.31070 | − | 8.26361i | 0.228536 | − | 0.355609i | ||||
\(541\) | 26.8117 | + | 17.2308i | 1.15272 | + | 0.740810i | 0.970180 | − | 0.242388i | \(-0.0779305\pi\) |
0.182544 | + | 0.983198i | \(0.441567\pi\) | |||||||
\(542\) | −25.1812 | − | 21.8196i | −1.08162 | − | 0.937232i | ||||
\(543\) | −2.47405 | + | 8.42585i | −0.106172 | + | 0.361588i | ||||
\(544\) | −4.02839 | − | 28.0180i | −0.172716 | − | 1.20126i | ||||
\(545\) | 31.1305 | − | 26.9748i | 1.33349 | − | 1.15547i | ||||
\(546\) | 14.6066 | − | 11.9635i | 0.625104 | − | 0.511990i | ||||
\(547\) | 23.4102 | − | 6.87386i | 1.00095 | − | 0.293905i | 0.260104 | − | 0.965581i | \(-0.416243\pi\) |
0.740845 | + | 0.671676i | \(0.234425\pi\) | |||||||
\(548\) | −18.4239 | − | 8.41389i | −0.787028 | − | 0.359424i | ||||
\(549\) | 1.30317 | − | 9.06375i | 0.0556180 | − | 0.386832i | ||||
\(550\) | 0.989733 | + | 1.54005i | 0.0422024 | + | 0.0656681i | ||||
\(551\) | 2.73298 | 0.116429 | ||||||||
\(552\) | −32.2160 | − | 11.0437i | −1.37120 | − | 0.470052i | ||||
\(553\) | −18.6629 | + | 4.92177i | −0.793629 | + | 0.209295i | ||||
\(554\) | −16.3748 | + | 10.5234i | −0.695699 | + | 0.447098i | ||||
\(555\) | 0.111546 | − | 0.775820i | 0.00473487 | − | 0.0329317i | ||||
\(556\) | 7.17304 | + | 3.27582i | 0.304205 | + | 0.138926i | ||||
\(557\) | −3.63224 | − | 12.3703i | −0.153903 | − | 0.524145i | 0.846057 | − | 0.533092i | \(-0.178970\pi\) |
−0.999960 | + | 0.00894714i | \(0.997152\pi\) | |||||||
\(558\) | 15.9821 | − | 7.29879i | 0.676577 | − | 0.308982i | ||||
\(559\) | −15.5738 | − | 17.9731i | −0.658702 | − | 0.760183i | ||||
\(560\) | 45.2657 | − | 19.1726i | 1.91283 | − | 0.810192i | ||||
\(561\) | −3.03228 | − | 0.890359i | −0.128023 | − | 0.0375910i | ||||
\(562\) | 38.1262 | + | 33.0365i | 1.60826 | + | 1.39356i | ||||
\(563\) | −33.1104 | − | 21.2787i | −1.39544 | − | 0.896792i | −0.395669 | − | 0.918393i | \(-0.629487\pi\) |
−0.999767 | + | 0.0216015i | \(0.993124\pi\) | |||||||
\(564\) | 48.4258 | + | 31.1213i | 2.03909 | + | 1.31045i | ||||
\(565\) | 11.7578 | + | 10.1882i | 0.494656 | + | 0.428622i | ||||
\(566\) | 39.3684 | + | 11.5596i | 1.65478 | + | 0.485886i | ||||
\(567\) | 2.43623 | − | 1.03188i | 0.102312 | − | 0.0433350i | ||||
\(568\) | −48.6532 | − | 56.1488i | −2.04144 | − | 2.35595i | ||||
\(569\) | 23.1176 | − | 10.5575i | 0.969141 | − | 0.442592i | 0.133006 | − | 0.991115i | \(-0.457537\pi\) |
0.836135 | + | 0.548523i | \(0.184810\pi\) | |||||||
\(570\) | −8.42581 | − | 28.6957i | −0.352918 | − | 1.20193i | ||||
\(571\) | −29.0788 | − | 13.2799i | −1.21691 | − | 0.555745i | −0.299657 | − | 0.954047i | \(-0.596872\pi\) |
−0.917254 | + | 0.398302i | \(0.869600\pi\) | |||||||
\(572\) | −1.87212 | + | 13.0209i | −0.0782771 | + | 0.544429i | ||||
\(573\) | −6.11582 | + | 3.93040i | −0.255492 | + | 0.164195i | ||||
\(574\) | −34.3009 | + | 9.04581i | −1.43169 | + | 0.377565i | ||||
\(575\) | 0.799072 | + | 3.25191i | 0.0333236 | + | 0.135614i | ||||
\(576\) | −5.56648 | −0.231937 | ||||||||
\(577\) | −2.55491 | − | 3.97552i | −0.106362 | − | 0.165503i | 0.783992 | − | 0.620770i | \(-0.213180\pi\) |
−0.890355 | + | 0.455267i | \(0.849544\pi\) | |||||||
\(578\) | −2.66417 | + | 18.5297i | −0.110815 | + | 0.770733i | ||||
\(579\) | 9.70612 | + | 4.43263i | 0.403372 | + | 0.184214i | ||||
\(580\) | 4.63631 | − | 1.36134i | 0.192512 | − | 0.0565267i | ||||
\(581\) | −9.76810 | + | 8.00053i | −0.405249 | + | 0.331918i | ||||
\(582\) | −1.97917 | + | 1.71496i | −0.0820394 | + | 0.0710876i | ||||
\(583\) | −0.0314728 | − | 0.218898i | −0.00130347 | − | 0.00906584i | ||||
\(584\) | 23.0850 | − | 78.6204i | 0.955265 | − | 3.25333i | ||||
\(585\) | −4.30987 | − | 3.73452i | −0.178191 | − | 0.154403i | ||||
\(586\) | −66.6893 | − | 42.8586i | −2.75491 | − | 1.77047i | ||||
\(587\) | 8.23270 | − | 12.8103i | 0.339800 | − | 0.528739i | −0.628734 | − | 0.777620i | \(-0.716427\pi\) |
0.968534 | + | 0.248881i | \(0.0800629\pi\) | |||||||
\(588\) | 32.5029 | + | 6.53120i | 1.34040 | + | 0.269342i | ||||
\(589\) | 10.5962 | − | 36.0873i | 0.436608 | − | 1.48695i | ||||
\(590\) | −22.4783 | + | 3.23189i | −0.925415 | + | 0.133055i | ||||
\(591\) | 4.13543 | − | 3.58337i | 0.170109 | − | 0.147400i | ||||
\(592\) | −3.07946 | + | 1.40634i | −0.126565 | + | 0.0578004i | ||||
\(593\) | 1.49731 | + | 5.09936i | 0.0614871 | + | 0.209406i | 0.984507 | − | 0.175347i | \(-0.0561048\pi\) |
−0.923020 | + | 0.384753i | \(0.874287\pi\) | |||||||
\(594\) | −1.08915 | + | 2.38490i | −0.0446882 | + | 0.0978535i | ||||
\(595\) | 17.0537 | − | 1.97071i | 0.699135 | − | 0.0807914i | ||||
\(596\) | 6.27259 | + | 9.76034i | 0.256935 | + | 0.399799i | ||||
\(597\) | 9.87121i | 0.404002i | ||||||||
\(598\) | −15.5925 | + | 30.4656i | −0.637626 | + | 1.24583i | ||||
\(599\) | −26.2794 | −1.07375 | −0.536874 | − | 0.843663i | \(-0.680395\pi\) | ||||
−0.536874 | + | 0.843663i | \(0.680395\pi\) | |||||||
\(600\) | 2.68070 | + | 4.17125i | 0.109439 | + | 0.170291i | ||||
\(601\) | 12.9958 | + | 1.86852i | 0.530111 | + | 0.0762184i | 0.402173 | − | 0.915564i | \(-0.368255\pi\) |
0.127938 | + | 0.991782i | \(0.459164\pi\) | |||||||
\(602\) | 10.0805 | − | 58.5314i | 0.410850 | − | 2.38556i | ||||
\(603\) | 2.64795 | + | 9.01808i | 0.107833 | + | 0.367245i | ||||
\(604\) | −1.33527 | − | 2.92383i | −0.0543313 | − | 0.118969i | ||||
\(605\) | −13.5545 | − | 15.6427i | −0.551067 | − | 0.635965i | ||||
\(606\) | 5.46766 | + | 38.0284i | 0.222108 | + | 1.54480i | ||||
\(607\) | −3.06319 | + | 10.4323i | −0.124331 | + | 0.423433i | −0.998009 | − | 0.0630720i | \(-0.979910\pi\) |
0.873678 | + | 0.486505i | \(0.161728\pi\) | |||||||
\(608\) | −32.9192 | + | 37.9908i | −1.33505 | + | 1.54073i | ||||
\(609\) | 1.23810 | + | 0.401177i | 0.0501705 | + | 0.0162565i | ||||
\(610\) | −41.4672 | − | 26.6494i | −1.67896 | − | 1.07900i | ||||
\(611\) | 21.8848 | − | 25.2564i | 0.885363 | − | 1.02176i | ||||
\(612\) | −14.2164 | − | 4.17431i | −0.574664 | − | 0.168736i | ||||
\(613\) | 4.19384 | − | 0.602984i | 0.169388 | − | 0.0243543i | −0.0570990 | − | 0.998369i | \(-0.518185\pi\) |
0.226487 | + | 0.974014i | \(0.427276\pi\) | |||||||
\(614\) | −60.8054 | + | 52.6882i | −2.45391 | + | 2.12632i | ||||
\(615\) | 4.45101 | + | 9.74635i | 0.179482 | + | 0.393011i | ||||
\(616\) | −16.2451 | + | 9.81407i | −0.654533 | + | 0.395420i | ||||
\(617\) | −11.9294 | − | 5.44798i | −0.480260 | − | 0.219327i | 0.160549 | − | 0.987028i | \(-0.448674\pi\) |
−0.640809 | + | 0.767700i | \(0.721401\pi\) | |||||||
\(618\) | −35.7540 | − | 5.14064i | −1.43824 | − | 0.206787i | ||||
\(619\) | −26.1921 | + | 16.8326i | −1.05275 | + | 0.676560i | −0.948107 | − | 0.317950i | \(-0.897006\pi\) |
−0.104641 | + | 0.994510i | \(0.533369\pi\) | |||||||
\(620\) | − | 66.4978i | − | 2.67062i | ||||||
\(621\) | −3.29925 | + | 3.48066i | −0.132394 | + | 0.139674i | ||||
\(622\) | 3.09985i | 0.124293i | ||||||||
\(623\) | 33.1485 | + | 30.3740i | 1.32806 | + | 1.21691i | ||||
\(624\) | −3.50543 | + | 24.3808i | −0.140329 | + | 0.976013i | ||||
\(625\) | −8.73254 | + | 19.1216i | −0.349302 | + | 0.764864i | ||||
\(626\) | 34.9533 | − | 10.2632i | 1.39702 | − | 0.410201i | ||||
\(627\) | 2.33147 | + | 5.10521i | 0.0931100 | + | 0.203882i | ||||
\(628\) | 28.2958 | + | 32.6551i | 1.12913 | + | 1.30308i | ||||
\(629\) | −1.17022 | + | 0.168252i | −0.0466596 | + | 0.00670863i | ||||
\(630\) | 0.395181 | − | 14.2367i | 0.0157444 | − | 0.567203i | ||||
\(631\) | 15.8261 | + | 13.7134i | 0.630029 | + | 0.545923i | 0.910274 | − | 0.414005i | \(-0.135871\pi\) |
−0.280246 | + | 0.959928i | \(0.590416\pi\) | |||||||
\(632\) | 28.0075 | − | 43.5804i | 1.11408 | − | 1.73354i | ||||
\(633\) | −3.00917 | + | 4.68235i | −0.119604 | + | 0.186107i | ||||
\(634\) | 22.9836 | − | 26.5245i | 0.912795 | − | 1.05342i | ||||
\(635\) | −26.4216 | − | 7.75808i | −1.04851 | − | 0.307870i | ||||
\(636\) | −0.147555 | − | 1.02627i | −0.00585096 | − | 0.0406943i | ||||
\(637\) | 6.43857 | − | 18.1380i | 0.255105 | − | 0.718655i | ||||
\(638\) | −1.17316 | + | 0.535765i | −0.0464459 | + | 0.0212111i | ||||
\(639\) | −10.0385 | + | 2.94758i | −0.397118 | + | 0.116604i | ||||
\(640\) | 3.14379 | − | 6.88395i | 0.124269 | − | 0.272112i | ||||
\(641\) | 8.85888 | + | 1.27372i | 0.349905 | + | 0.0503087i | 0.315027 | − | 0.949083i | \(-0.397987\pi\) |
0.0348783 | + | 0.999392i | \(0.488896\pi\) | |||||||
\(642\) | −33.6009 | + | 21.5940i | −1.32612 | + | 0.852248i | ||||
\(643\) | −41.3988 | −1.63261 | −0.816304 | − | 0.577622i | \(-0.803981\pi\) | ||||
−0.816304 | + | 0.577622i | \(0.803981\pi\) | |||||||
\(644\) | −58.7336 | + | 12.7152i | −2.31443 | + | 0.501049i | ||||
\(645\) | −17.9393 | −0.706360 | ||||||||
\(646\) | −37.9495 | + | 24.3887i | −1.49310 | + | 0.959560i | ||||
\(647\) | 28.4763 | + | 4.09427i | 1.11952 | + | 0.160962i | 0.677132 | − | 0.735862i | \(-0.263223\pi\) |
0.442387 | + | 0.896824i | \(0.354132\pi\) | |||||||
\(648\) | −2.94996 | + | 6.45951i | −0.115885 | + | 0.253754i | ||||
\(649\) | 4.08903 | − | 1.20065i | 0.160509 | − | 0.0471296i | ||||
\(650\) | 4.53250 | − | 2.06992i | 0.177779 | − | 0.0811891i | ||||
\(651\) | 10.0976 | − | 14.7930i | 0.395758 | − | 0.579783i | ||||
\(652\) | −6.48187 | − | 45.0824i | −0.253850 | − | 1.76556i | ||||
\(653\) | −8.76888 | − | 2.57478i | −0.343153 | − | 0.100759i | 0.105615 | − | 0.994407i | \(-0.466319\pi\) |
−0.448768 | + | 0.893648i | \(0.648137\pi\) | |||||||
\(654\) | −33.7550 | + | 38.9554i | −1.31993 | + | 1.52328i | ||||
\(655\) | −19.1047 | + | 29.7275i | −0.746483 | + | 1.16155i | ||||
\(656\) | 25.0202 | − | 38.9321i | 0.976873 | − | 1.52004i | ||||
\(657\) | −8.72042 | − | 7.55629i | −0.340216 | − | 0.294799i | ||||
\(658\) | 83.4287 | + | 2.31581i | 3.25239 | + | 0.0902797i | ||||
\(659\) | 31.5462 | − | 4.53566i | 1.22887 | − | 0.176684i | 0.502857 | − | 0.864369i | \(-0.332282\pi\) |
0.726009 | + | 0.687685i | \(0.241373\pi\) | |||||||
\(660\) | 6.49818 | + | 7.49930i | 0.252941 | + | 0.291910i | ||||
\(661\) | −7.85300 | − | 17.1957i | −0.305446 | − | 0.668834i | 0.693206 | − | 0.720740i | \(-0.256198\pi\) |
−0.998652 | + | 0.0519056i | \(0.983470\pi\) | |||||||
\(662\) | 30.7173 | − | 9.01941i | 1.19386 | − | 0.350549i | ||||
\(663\) | −3.57333 | + | 7.82450i | −0.138777 | + | 0.303878i | ||||
\(664\) | 4.82295 | − | 33.5443i | 0.187167 | − | 1.30177i | ||||
\(665\) | −22.4780 | − | 20.5966i | −0.871658 | − | 0.798702i | ||||
\(666\) | 0.980810i | 0.0380056i | ||||||||
\(667\) | −2.34778 | + | 0.231178i | −0.0909062 | + | 0.00895124i | ||||
\(668\) | − | 35.0239i | − | 1.35512i | ||||||
\(669\) | −22.7432 | + | 14.6162i | −0.879304 | + | 0.565094i | ||||
\(670\) | 50.0790 | + | 7.20028i | 1.93472 | + | 0.278171i | ||||
\(671\) | 8.41428 | + | 3.84267i | 0.324830 | + | 0.148345i | ||||
\(672\) | −20.4899 | + | 12.3785i | −0.790417 | + | 0.477511i | ||||
\(673\) | 3.15616 | + | 6.91103i | 0.121661 | + | 0.266401i | 0.960657 | − | 0.277737i | \(-0.0895843\pi\) |
−0.838996 | + | 0.544137i | \(0.816857\pi\) | |||||||
\(674\) | 63.8801 | − | 55.3524i | 2.46057 | − | 2.13209i | ||||
\(675\) | 0.691134 | − | 0.0993701i | 0.0266018 | − | 0.00382476i | ||||
\(676\) | −24.7204 | − | 7.25855i | −0.950783 | − | 0.279175i | ||||
\(677\) | 19.4910 | − | 22.4938i | 0.749099 | − | 0.864506i | −0.245382 | − | 0.969427i | \(-0.578913\pi\) |
0.994481 | + | 0.104920i | \(0.0334587\pi\) | |||||||
\(678\) | −16.3779 | − | 10.5254i | −0.628988 | − | 0.404226i | ||||
\(679\) | −0.822907 | + | 2.53964i | −0.0315803 | + | 0.0974623i | ||||
\(680\) | −30.1741 | + | 34.8227i | −1.15712 | + | 1.33539i | ||||
\(681\) | −3.44998 | + | 11.7496i | −0.132204 | + | 0.450244i | ||||
\(682\) | 2.52592 | + | 17.5681i | 0.0967223 | + | 0.672718i | ||||
\(683\) | 1.49058 | + | 1.72022i | 0.0570354 | + | 0.0658224i | 0.783550 | − | 0.621328i | \(-0.213407\pi\) |
−0.726515 | + | 0.687151i | \(0.758861\pi\) | |||||||
\(684\) | 10.9307 | + | 23.9350i | 0.417947 | + | 0.915177i | ||||
\(685\) | 2.49894 | + | 8.51059i | 0.0954794 | + | 0.325173i | ||||
\(686\) | 45.2327 | − | 16.2629i | 1.72699 | − | 0.620919i | ||||
\(687\) | −14.0427 | − | 2.01904i | −0.535763 | − | 0.0770310i | ||||
\(688\) | 41.8909 | + | 65.1836i | 1.59708 | + | 2.48510i | ||||
\(689\) | −0.601933 | −0.0229318 | ||||||||
\(690\) | 9.66555 | + | 23.9384i | 0.367961 | + | 0.911321i | ||||
\(691\) | 12.7125i | 0.483608i | 0.970325 | + | 0.241804i | \(0.0777391\pi\) | ||||
−0.970325 | + | 0.241804i | \(0.922261\pi\) | |||||||
\(692\) | −15.3719 | − | 23.9191i | −0.584351 | − | 0.909268i | ||||
\(693\) | 0.306812 | + | 2.65502i | 0.0116548 | + | 0.100856i | ||||
\(694\) | −25.7538 | + | 56.3930i | −0.977601 | + | 2.14065i | ||||
\(695\) | −0.972922 | − | 3.31347i | −0.0369050 | − | 0.125687i | ||||
\(696\) | −3.17751 | + | 1.45112i | −0.120443 | + | 0.0550046i | ||||
\(697\) | 12.2140 | − | 10.5835i | 0.462640 | − | 0.400879i | ||||
\(698\) | −34.8533 | + | 5.01115i | −1.31922 | + | 0.189675i | ||||
\(699\) | 8.05921 | − | 27.4471i | 0.304827 | − | 1.03815i | ||||
\(700\) | 7.85474 | + | 3.85403i | 0.296881 | + | 0.145669i | ||||
\(701\) | −10.4228 | + | 16.2182i | −0.393663 | + | 0.612552i | −0.980351 | − | 0.197261i | \(-0.936795\pi\) |
0.586688 | + | 0.809813i | \(0.300432\pi\) | |||||||
\(702\) | 6.00335 | + | 3.85812i | 0.226582 | + | 0.145615i | ||||
\(703\) | 1.58674 | + | 1.37492i | 0.0598452 | + | 0.0518561i | ||||
\(704\) | 1.58423 | − | 5.39539i | 0.0597079 | − | 0.203346i | ||||
\(705\) | −3.58759 | − | 24.9523i | −0.135117 | − | 0.939756i | ||||
\(706\) | 50.7265 | − | 43.9548i | 1.90912 | − | 1.65426i | ||||
\(707\) | 24.8164 | + | 30.2991i | 0.933315 | + | 1.13951i | ||||
\(708\) | 19.1708 | − | 5.62906i | 0.720483 | − | 0.211553i | ||||
\(709\) | −4.93459 | − | 2.25355i | −0.185322 | − | 0.0846339i | 0.320593 | − | 0.947217i | \(-0.396118\pi\) |
−0.505915 | + | 0.862583i | \(0.668845\pi\) | |||||||
\(710\) | −8.01504 | + | 55.7458i | −0.300799 | + | 2.09210i | ||||
\(711\) | −3.94403 | − | 6.13702i | −0.147913 | − | 0.230156i | ||||
\(712\) | −120.673 | −4.52242 | ||||||||
\(713\) | −6.05014 | + | 31.8973i | −0.226580 | + | 1.19456i | ||||
\(714\) | −20.7721 | + | 5.47800i | −0.777377 | + | 0.205009i | ||||
\(715\) | 4.84633 | − | 3.11455i | 0.181242 | − | 0.116477i | ||||
\(716\) | −0.691555 | + | 4.80987i | −0.0258446 | + | 0.179753i | ||||
\(717\) | 25.9291 | + | 11.8414i | 0.968340 | + | 0.442226i | ||||
\(718\) | 3.92797 | + | 13.3774i | 0.146591 | + | 0.499241i | ||||
\(719\) | 12.2401 | − | 5.58987i | 0.456479 | − | 0.208467i | −0.173886 | − | 0.984766i | \(-0.555632\pi\) |
0.630365 | + | 0.776299i | \(0.282905\pi\) | |||||||
\(720\) | 12.1675 | + | 14.0420i | 0.453455 | + | 0.523314i | ||||
\(721\) | −33.9064 | + | 14.3613i | −1.26274 | + | 0.534843i | ||||
\(722\) | 29.5522 | + | 8.67730i | 1.09982 | + | 0.322936i | ||||
\(723\) | −18.7662 | − | 16.2610i | −0.697923 | − | 0.604753i | ||||
\(724\) | −34.9880 | − | 22.4854i | −1.30032 | − | 0.835663i | ||||
\(725\) | 0.288948 | + | 0.185696i | 0.0107313 | + | 0.00689657i | ||||
\(726\) | 19.5746 | + | 16.9614i | 0.726480 | + | 0.629498i | ||||
\(727\) | −21.7072 | − | 6.37380i | −0.805074 | − | 0.236391i | −0.146797 | − | 0.989167i | \(-0.546896\pi\) |
−0.658277 | + | 0.752776i | \(0.728715\pi\) | |||||||
\(728\) | 20.1478 | + | 47.5680i | 0.746727 | + | 1.76299i | ||||
\(729\) | 0.654861 | + | 0.755750i | 0.0242541 | + | 0.0279907i | ||||
\(730\) | −56.5005 | + | 25.8029i | −2.09118 | + | 0.955008i | ||||
\(731\) | 7.62339 | + | 25.9629i | 0.281961 | + | 0.960272i | ||||
\(732\) | 39.4491 | + | 18.0158i | 1.45808 | + | 0.665882i | ||||
\(733\) | −1.68799 | + | 11.7402i | −0.0623473 | + | 0.433635i | 0.934609 | + | 0.355676i | \(0.115749\pi\) |
−0.996957 | + | 0.0779588i | \(0.975160\pi\) | |||||||
\(734\) | −25.3662 | + | 16.3019i | −0.936285 | + | 0.601714i | ||||
\(735\) | −7.15966 | − | 12.6303i | −0.264088 | − | 0.465877i | ||||
\(736\) | 25.0659 | − | 35.4208i | 0.923940 | − | 1.30563i | ||||
\(737\) | −9.49450 | −0.349735 | ||||||||
\(738\) | −7.24880 | − | 11.2793i | −0.266832 | − | 0.415199i | ||||
\(739\) | −6.67249 | + | 46.4082i | −0.245451 | + | 1.70715i | 0.378427 | + | 0.925631i | \(0.376465\pi\) |
−0.623879 | + | 0.781521i | \(0.714444\pi\) | |||||||
\(740\) | 3.37668 | + | 1.54208i | 0.124129 | + | 0.0566879i | ||||
\(741\) | 14.6572 | − | 4.30376i | 0.538447 | − | 0.158102i | ||||
\(742\) | −0.952533 | − | 1.16298i | −0.0349686 | − | 0.0426942i | ||||
\(743\) | 2.74294 | − | 2.37677i | 0.100629 | − | 0.0871952i | −0.603094 | − | 0.797670i | \(-0.706065\pi\) |
0.703722 | + | 0.710475i | \(0.251520\pi\) | |||||||
\(744\) | 6.84146 | + | 47.5834i | 0.250820 | + | 1.74449i | ||||
\(745\) | 1.43146 | − | 4.87510i | 0.0524445 | − | 0.178610i | ||||
\(746\) | 18.6388 | + | 16.1506i | 0.682414 | + | 0.591315i | ||||
\(747\) | −4.01472 | − | 2.58010i | −0.146891 | − | 0.0944011i | ||||
\(748\) | 8.09201 | − | 12.5914i | 0.295873 | − | 0.460388i | ||||
\(749\) | −17.9354 | + | 36.5534i | −0.655344 | + | 1.33563i | ||||
\(750\) | 8.64181 | − | 29.4313i | 0.315554 | − | 1.07468i | ||||
\(751\) | 10.4135 | − | 1.49723i | 0.379993 | − | 0.0546347i | 0.0503278 | − | 0.998733i | \(-0.483973\pi\) |
0.329665 | + | 0.944098i | \(0.393064\pi\) | |||||||
\(752\) | −82.2879 | + | 71.3028i | −3.00073 | + | 2.60015i | ||||
\(753\) | −1.89365 | + | 0.864802i | −0.0690085 | + | 0.0315151i | ||||
\(754\) | 0.988990 | + | 3.36819i | 0.0360169 | + | 0.122662i | ||||
\(755\) | −0.584752 | + | 1.28043i | −0.0212813 | + | 0.0465995i | ||||
\(756\) | 1.43844 | + | 12.4477i | 0.0523156 | + | 0.452717i | ||||
\(757\) | −17.6822 | − | 27.5140i | −0.642669 | − | 1.00001i | −0.997871 | − | 0.0652231i | \(-0.979224\pi\) |
0.355201 | − | 0.934790i | \(-0.384412\pi\) | |||||||
\(758\) | − | 69.2190i | − | 2.51415i | ||||||
\(759\) | −2.43470 | − | 4.18844i | −0.0883741 | − | 0.152031i | ||||
\(760\) | 81.8285 | 2.96823 | ||||||||
\(761\) | −13.6250 | − | 21.2010i | −0.493907 | − | 0.768535i | 0.501408 | − | 0.865211i | \(-0.332815\pi\) |
−0.995316 | + | 0.0966757i | \(0.969179\pi\) | |||||||
\(762\) | 34.1079 | + | 4.90398i | 1.23560 | + | 0.177652i | ||||
\(763\) | −8.91826 | + | 51.7830i | −0.322863 | + | 1.87467i | ||||
\(764\) | −9.70029 | − | 33.0362i | −0.350944 | − | 1.19521i | ||||
\(765\) | 2.69546 | + | 5.90224i | 0.0974546 | + | 0.213396i | ||||
\(766\) | 22.1294 | + | 25.5387i | 0.799568 | + | 0.922751i | ||||
\(767\) | −1.65079 | − | 11.4815i | −0.0596066 | − | 0.414573i | ||||
\(768\) | −5.80454 | + | 19.7685i | −0.209453 | + | 0.713333i | ||||
\(769\) | −7.94297 | + | 9.16667i | −0.286431 | + | 0.330559i | −0.880671 | − | 0.473729i | \(-0.842908\pi\) |
0.594240 | + | 0.804288i | \(0.297453\pi\) | |||||||
\(770\) | 13.6866 | + | 4.43481i | 0.493232 | + | 0.159820i | ||||
\(771\) | −7.06024 | − | 4.53734i | −0.254268 | − | 0.163408i | ||||
\(772\) | −33.0939 | + | 38.1924i | −1.19108 | + | 1.37458i | ||||
\(773\) | −17.2032 | − | 5.05132i | −0.618756 | − | 0.181683i | −0.0426928 | − | 0.999088i | \(-0.513594\pi\) |
−0.576063 | + | 0.817405i | \(0.695412\pi\) | |||||||
\(774\) | 22.2200 | − | 3.19475i | 0.798681 | − | 0.114833i | ||||
\(775\) | 3.57230 | − | 3.09542i | 0.128321 | − | 0.111191i | ||||
\(776\) | −2.97659 | − | 6.51781i | −0.106853 | − | 0.233976i | ||||
\(777\) | 0.517007 | + | 0.855793i | 0.0185475 | + | 0.0307014i | ||||
\(778\) | −30.5290 | − | 13.9421i | −1.09452 | − | 0.499849i | ||||
\(779\) | −28.4091 | − | 4.08462i | −1.01786 | − | 0.146347i | ||||
\(780\) | 22.7213 | − | 14.6021i | 0.813552 | − | 0.522838i | ||||
\(781\) | − | 10.5689i | − | 0.378184i | ||||||
\(782\) | 30.5377 | − | 24.1613i | 1.09203 | − | 0.864007i | ||||
\(783\) | 0.491913i | 0.0175795i | ||||||||
\(784\) | −29.1742 | + | 55.5087i | −1.04194 | + | 1.98245i | ||||
\(785\) | 2.69294 | − | 18.7298i | 0.0961153 | − | 0.668496i | ||||
\(786\) | 18.3694 | − | 40.2233i | 0.655214 | − | 1.43472i | ||||
\(787\) | 39.3249 | − | 11.5468i | 1.40178 | − | 0.411600i | 0.508486 | − | 0.861070i | \(-0.330205\pi\) |
0.893295 | + | 0.449470i | \(0.148387\pi\) | |||||||
\(788\) | 10.7658 | + | 23.5737i | 0.383514 | + | 0.839779i | ||||
\(789\) | −14.0942 | − | 16.2655i | −0.501766 | − | 0.579069i | ||||
\(790\) | −38.8700 | + | 5.58866i | −1.38293 | + | 0.198836i | ||||
\(791\) | −19.8385 | − | 0.550675i | −0.705375 | − | 0.0195798i | ||||
\(792\) | −5.42140 | − | 4.69767i | −0.192641 | − | 0.166925i | ||||
\(793\) | 13.6120 | − | 21.1807i | 0.483377 | − | 0.752150i | ||||
\(794\) | −28.5654 | + | 44.4487i | −1.01375 | + | 1.57742i | ||||
\(795\) | −0.297343 | + | 0.343152i | −0.0105457 | + | 0.0121703i | ||||
\(796\) | −44.8572 | − | 13.1713i | −1.58992 | − | 0.466843i | ||||
\(797\) | 3.24842 | + | 22.5932i | 0.115065 | + | 0.800293i | 0.962866 | + | 0.269979i | \(0.0870168\pi\) |
−0.847801 | + | 0.530314i | \(0.822074\pi\) | |||||||
\(798\) | 31.5096 | + | 21.5083i | 1.11543 | + | 0.761386i | ||||
\(799\) | −34.5878 | + | 15.7957i | −1.22363 | + | 0.558813i | ||||
\(800\) | −6.06178 | + | 1.77990i | −0.214316 | + | 0.0629290i | ||||
\(801\) | −7.05926 | + | 15.4576i | −0.249427 | + | 0.546168i | ||||
\(802\) | −0.588620 | − | 0.0846308i | −0.0207849 | − | 0.00298842i | ||||
\(803\) | 9.80588 | − | 6.30185i | 0.346042 | − | 0.222388i | ||||
\(804\) | −44.5135 | −1.56987 | ||||||||
\(805\) | 21.0520 | + | 15.7922i | 0.741987 | + | 0.556603i | ||||
\(806\) | 48.3094 | 1.70163 | ||||||||
\(807\) | 18.1479 | − | 11.6629i | 0.638835 | − | 0.410554i | ||||
\(808\) | −104.049 | − | 14.9600i | −3.66043 | − | 0.526291i | ||||
\(809\) | 19.8180 | − | 43.3954i | 0.696764 | − | 1.52570i | −0.147088 | − | 0.989123i | \(-0.546990\pi\) |
0.843852 | − | 0.536576i | \(-0.180283\pi\) | |||||||
\(810\) | 5.16498 | − | 1.51658i | 0.181479 | − | 0.0532870i | ||||
\(811\) | 22.5396 | − | 10.2935i | 0.791473 | − | 0.361454i | 0.0216944 | − | 0.999765i | \(-0.493094\pi\) |
0.769779 | + | 0.638311i | \(0.220367\pi\) | |||||||
\(812\) | −3.47506 | + | 5.09095i | −0.121951 | + | 0.178657i | ||||
\(813\) | −1.82702 | − | 12.7072i | −0.0640765 | − | 0.445662i | ||||
\(814\) | −0.950664 | − | 0.279140i | −0.0333207 | − | 0.00978385i | ||||
\(815\) | −13.0618 | + | 15.0741i | −0.457534 | + | 0.528022i | ||||
\(816\) | 15.1518 | − | 23.5767i | 0.530420 | − | 0.825349i | ||||
\(817\) | 25.9800 | − | 40.4257i | 0.908926 | − | 1.41432i | ||||
\(818\) | 36.4105 | + | 31.5499i | 1.27306 | + | 1.10312i | ||||
\(819\) | 7.27185 | + | 0.201852i | 0.254099 | + | 0.00705326i | ||||
\(820\) | −50.2288 | + | 7.22181i | −1.75407 | + | 0.252197i | ||||
\(821\) | 21.3374 | + | 24.6247i | 0.744680 | + | 0.859406i | 0.994041 | − | 0.109004i | \(-0.0347662\pi\) |
−0.249361 | + | 0.968410i | \(0.580221\pi\) | |||||||
\(822\) | −4.61085 | − | 10.0964i | −0.160822 | − | 0.352151i | ||||
\(823\) | −43.3994 | + | 12.7432i | −1.51281 | + | 0.444200i | −0.929738 | − | 0.368222i | \(-0.879967\pi\) |
−0.583070 | + | 0.812422i | \(0.698149\pi\) | |||||||
\(824\) | 41.0563 | − | 89.9007i | 1.43026 | − | 3.13184i | ||||
\(825\) | −0.100382 | + | 0.698172i | −0.00349485 | + | 0.0243072i | ||||
\(826\) | 19.5708 | − | 21.3584i | 0.680954 | − | 0.743154i | ||||
\(827\) | 8.18535i | 0.284633i | 0.989821 | + | 0.142316i | \(0.0454550\pi\) | ||||
−0.989821 | + | 0.142316i | \(0.954545\pi\) | |||||||
\(828\) | −11.4147 | − | 19.6369i | −0.396689 | − | 0.682428i | ||||
\(829\) | 33.8674i | 1.17626i | 0.808765 | + | 0.588131i | \(0.200136\pi\) | ||||
−0.808765 | + | 0.588131i | \(0.799864\pi\) | |||||||
\(830\) | −21.6114 | + | 13.8888i | −0.750141 | + | 0.482087i | ||||
\(831\) | −7.42339 | − | 1.06732i | −0.257514 | − | 0.0370250i | ||||
\(832\) | −13.9223 | − | 6.35808i | −0.482667 | − | 0.220427i | ||||
\(833\) | −15.2369 | + | 15.7292i | −0.527926 | + | 0.544985i | ||||
\(834\) | 1.79516 | + | 3.93086i | 0.0621614 | + | 0.136115i | ||||
\(835\) | −11.5917 | + | 10.0442i | −0.401146 | + | 0.347595i | ||||
\(836\) | −26.3102 | + | 3.78284i | −0.909958 | + | 0.130832i | ||||
\(837\) | 6.49541 | + | 1.90722i | 0.224514 | + | 0.0659233i | ||||
\(838\) | 16.4792 | − | 19.0180i | 0.569263 | − | 0.656965i | ||||
\(839\) | 2.15079 | + | 1.38223i | 0.0742534 | + | 0.0477197i | 0.577241 | − | 0.816574i | \(-0.304129\pi\) |
−0.502987 | + | 0.864294i | \(0.667766\pi\) | |||||||
\(840\) | 37.0703 | + | 12.0117i | 1.27905 | + | 0.414444i | ||||
\(841\) | 18.8325 | − | 21.7339i | 0.649397 | − | 0.749444i | ||||
\(842\) | −3.68405 | + | 12.5467i | −0.126961 | + | 0.432388i | ||||
\(843\) | 2.76625 | + | 19.2397i | 0.0952747 | + | 0.662650i | ||||
\(844\) | −17.2626 | − | 19.9221i | −0.594203 | − | 0.685747i | ||||
\(845\) | 4.68704 | + | 10.2632i | 0.161239 | + | 0.353064i | ||||
\(846\) | 8.88732 | + | 30.2674i | 0.305552 | + | 1.04062i | ||||
\(847\) | 26.0203 | + | 4.48131i | 0.894067 | + | 0.153980i | ||||
\(848\) | 1.94120 | + | 0.279102i | 0.0666611 | + | 0.00958442i | ||||
\(849\) | 8.54694 | + | 13.2993i | 0.293330 | + | 0.456431i | ||||
\(850\) | −5.66940 | −0.194459 | ||||||||
\(851\) | −1.47940 | − | 1.04691i | −0.0507133 | − | 0.0358877i | ||||
\(852\) | − | 49.5505i | − | 1.69757i | ||||||
\(853\) | 17.2584 | + | 26.8546i | 0.590916 | + | 0.919483i | 0.999976 | + | 0.00697553i | \(0.00222040\pi\) |
−0.409060 | + | 0.912508i | \(0.634143\pi\) | |||||||
\(854\) | 62.4631 | − | 7.21818i | 2.13744 | − | 0.247001i | ||||
\(855\) | 4.78688 | − | 10.4818i | 0.163708 | − | 0.358471i | ||||
\(856\) | −30.7887 | − | 104.857i | −1.05234 | − | 3.58393i | ||||
\(857\) | 31.5223 | − | 14.3958i | 1.07678 | − | 0.491750i | 0.203555 | − | 0.979063i | \(-0.434750\pi\) |
0.873227 | + | 0.487313i | \(0.162023\pi\) | |||||||
\(858\) | −5.44810 | + | 4.72080i | −0.185995 | + | 0.161166i | ||||
\(859\) | −14.3908 | + | 2.06909i | −0.491009 | + | 0.0705965i | −0.383373 | − | 0.923594i | \(-0.625237\pi\) |
−0.107637 | + | 0.994190i | \(0.534328\pi\) | |||||||
\(860\) | 23.9366 | − | 81.5207i | 0.816232 | − | 2.77983i | ||||
\(861\) | −12.2704 | − | 6.02065i | −0.418176 | − | 0.205183i | ||||
\(862\) | −41.5370 | + | 64.6328i | −1.41476 | + | 2.20140i | ||||
\(863\) | −9.47920 | − | 6.09191i | −0.322676 | − | 0.207371i | 0.369267 | − | 0.929323i | \(-0.379609\pi\) |
−0.691943 | + | 0.721952i | \(0.743245\pi\) | |||||||
\(864\) | −6.83803 | − | 5.92519i | −0.232635 | − | 0.201579i | ||||
\(865\) | −3.50799 | + | 11.9471i | −0.119275 | + | 0.406214i | ||||
\(866\) | −11.3538 | − | 78.9672i | −0.385817 | − | 2.68341i | ||||
\(867\) | −5.45111 | + | 4.72342i | −0.185130 | + | 0.160416i | ||||
\(868\) | 53.7496 | + | 65.6246i | 1.82438 | + | 2.22744i | ||||
\(869\) | 7.07087 | − | 2.07619i | 0.239863 | − | 0.0704301i | ||||
\(870\) | 2.40869 | + | 1.10001i | 0.0816622 | + | 0.0372939i | ||||
\(871\) | −3.67778 | + | 25.5795i | −0.124617 | + | 0.866728i | ||||
\(872\) | −76.2479 | − | 118.644i | −2.58208 | − | 4.01780i | ||||
\(873\) | −1.00903 | −0.0341504 | ||||||||
\(874\) | −67.9423 | − | 12.8870i | −2.29818 | − | 0.435910i | ||||
\(875\) | −7.97360 | − | 30.2352i | −0.269557 | − | 1.02214i | ||||
\(876\) | 45.9733 | − | 29.5453i | 1.55330 | − | 0.998242i | ||||
\(877\) | 4.65874 | − | 32.4022i | 0.157314 | − | 1.09415i | −0.746242 | − | 0.665675i | \(-0.768144\pi\) |
0.903556 | − | 0.428470i | \(-0.140947\pi\) | |||||||
\(878\) | 87.5264 | + | 39.9720i | 2.95387 | + | 1.34899i | ||||
\(879\) | −8.60523 | − | 29.3067i | −0.290247 | − | 0.988491i | ||||
\(880\) | −17.0733 | + | 7.79710i | −0.575540 | + | 0.262840i | ||||
\(881\) | −30.7484 | − | 35.4855i | −1.03594 | − | 1.19554i | −0.980387 | − | 0.197082i | \(-0.936853\pi\) |
−0.0555526 | − | 0.998456i | \(-0.517692\pi\) | |||||||
\(882\) | 11.1174 | + | 14.3691i | 0.374342 | + | 0.483834i | ||||
\(883\) | 14.9672 | + | 4.39477i | 0.503687 | + | 0.147896i | 0.523698 | − | 0.851904i | \(-0.324552\pi\) |
−0.0200111 | + | 0.999800i | \(0.506370\pi\) | |||||||
\(884\) | −30.7885 | − | 26.6784i | −1.03553 | − | 0.897291i | ||||
\(885\) | −7.36086 | − | 4.73054i | −0.247433 | − | 0.159015i | ||||
\(886\) | 37.0972 | + | 23.8409i | 1.24630 | + | 0.800951i | ||||
\(887\) | −15.0036 | − | 13.0007i | −0.503770 | − | 0.436519i | 0.365533 | − | 0.930798i | \(-0.380887\pi\) |
−0.869303 | + | 0.494279i | \(0.835432\pi\) | |||||||
\(888\) | −2.57488 | − | 0.756053i | −0.0864073 | − | 0.0253715i | ||||
\(889\) | 32.3454 | − | 13.7001i | 1.08483 | − | 0.459488i | ||||
\(890\) | 59.9036 | + | 69.1325i | 2.00797 | + | 2.31733i | ||||
\(891\) | −0.918895 | + | 0.419645i | −0.0307841 | + | 0.0140586i | ||||
\(892\) | −36.0730 | − | 122.853i | −1.20781 | − | 4.11343i | ||||
\(893\) | 61.4247 | + | 28.0517i | 2.05550 | + | 0.938716i | ||||
\(894\) | −0.904841 | + | 6.29331i | −0.0302624 | + | 0.210480i | ||||
\(895\) | 1.79022 | − | 1.15050i | 0.0598405 | − | 0.0384571i | ||||
\(896\) | 2.46172 | + | 9.33464i | 0.0822404 | + | 0.311848i | ||||
\(897\) | −12.2273 | + | 4.93699i | −0.408259 | + | 0.164841i | ||||
\(898\) | −17.3201 | −0.577979 | ||||||||
\(899\) | 1.80037 | + | 2.80143i | 0.0600457 | + | 0.0934329i | ||||
\(900\) | −0.470625 | + | 3.27327i | −0.0156875 | + | 0.109109i | ||||
\(901\) | 0.622987 | + | 0.284509i | 0.0207547 | + | 0.00947836i | ||||
\(902\) | 12.9957 | − | 3.81588i | 0.432709 | − | 0.127055i | ||||
\(903\) | 17.7037 | − | 14.5002i | 0.589144 | − | 0.482536i | ||||
\(904\) | 40.2567 | − | 34.8826i | 1.33892 | − | 1.16018i | ||||
\(905\) | 2.59206 | + | 18.0282i | 0.0861630 | + | 0.599277i | ||||
\(906\) | 0.496258 | − | 1.69010i | 0.0164871 | − | 0.0561498i | ||||
\(907\) | 9.78799 | + | 8.48135i | 0.325005 | + | 0.281618i | 0.802046 | − | 0.597263i | \(-0.203745\pi\) |
−0.477041 | + | 0.878881i | \(0.658291\pi\) | |||||||
\(908\) | −48.7895 | − | 31.3551i | −1.61914 | − | 1.04056i | ||||
\(909\) | −8.00306 | + | 12.4530i | −0.265445 | + | 0.413040i | ||||
\(910\) | 17.2496 | − | 35.1558i | 0.571820 | − | 1.16540i | ||||
\(911\) | 0.319247 | − | 1.08726i | 0.0105771 | − | 0.0360224i | −0.954035 | − | 0.299694i | \(-0.903115\pi\) |
0.964612 | + | 0.263672i | \(0.0849336\pi\) | |||||||
\(912\) | −49.2643 | + | 7.08314i | −1.63131 | + | 0.234546i | ||||
\(913\) | 3.64339 | − | 3.15702i | 0.120579 | − | 0.104482i | ||||
\(914\) | −34.9961 | + | 15.9822i | −1.15757 | + | 0.528643i | ||||
\(915\) | −5.35071 | − | 18.2228i | −0.176889 | − | 0.602429i | ||||
\(916\) | 27.9123 | − | 61.1194i | 0.922249 | − | 2.01944i | ||||
\(917\) | −5.17465 | − | 44.7793i | −0.170882 | − | 1.47874i | ||||
\(918\) | −4.38976 | − | 6.83060i | −0.144884 | − | 0.225443i | ||||
\(919\) | 1.08435i | 0.0357695i | 0.999840 | + | 0.0178848i | \(0.00569320\pi\) | ||||
−0.999840 | + | 0.0178848i | \(0.994307\pi\) | |||||||
\(920\) | −70.2952 | + | 6.92173i | −2.31756 | + | 0.228203i | ||||
\(921\) | −30.9999 | −1.02148 | ||||||||
\(922\) | −27.1684 | − | 42.2748i | −0.894743 | − | 1.39225i | ||||
\(923\) | −28.4740 | − | 4.09394i | −0.937233 | − | 0.134754i | ||||
\(924\) | −12.4745 | − | 2.14840i | −0.410379 | − | 0.0706770i | ||||
\(925\) | 0.0743402 | + | 0.253179i | 0.00244429 | + | 0.00832449i | ||||
\(926\) | 14.0007 | + | 30.6574i | 0.460093 | + | 1.00746i | ||||
\(927\) | −9.11407 | − | 10.5182i | −0.299345 | − | 0.345463i | ||||
\(928\) | −0.633419 | − | 4.40553i | −0.0207930 | − | 0.144619i | ||||
\(929\) | −5.83587 | + | 19.8751i | −0.191469 | + | 0.652082i | 0.806665 | + | 0.591009i | \(0.201270\pi\) |
−0.998133 | + | 0.0610728i | \(0.980548\pi\) | |||||||
\(930\) | 23.8639 | − | 27.5404i | 0.782527 | − | 0.903084i | ||||
\(931\) | 38.8308 | + | 2.15739i | 1.27263 | + | 0.0707056i | ||||
\(932\) | 113.973 | + | 73.2460i | 3.73331 | + | 2.39925i | ||||
\(933\) | −0.782143 | + | 0.902641i | −0.0256062 | + | 0.0295512i | ||||
\(934\) | 69.6821 | + | 20.4605i | 2.28007 | + | 0.669489i | ||||
\(935\) | −6.48796 | + | 0.932827i | −0.212179 | + | 0.0305067i | ||||
\(936\) | −14.7562 | + | 12.7863i | −0.482322 | + | 0.417934i | ||||
\(937\) | 12.4005 | + | 27.1533i | 0.405106 | + | 0.887058i | 0.996727 | + | 0.0808422i | \(0.0257610\pi\) |
−0.591621 | + | 0.806216i | \(0.701512\pi\) | |||||||
\(938\) | −55.2413 | + | 33.3727i | −1.80369 | + | 1.08966i | ||||
\(939\) | 12.7676 | + | 5.83076i | 0.416654 | + | 0.190280i | ||||
\(940\) | 118.176 | + | 16.9912i | 3.85448 | + | 0.554190i | ||||
\(941\) | 27.8113 | − | 17.8732i | 0.906621 | − | 0.582650i | −0.00212552 | − | 0.999998i | \(-0.500677\pi\) |
0.908747 | + | 0.417348i | \(0.137040\pi\) | |||||||
\(942\) | 23.6787i | 0.771494i | ||||||||
\(943\) | 24.7505 | + | 1.10583i | 0.805988 | + | 0.0360108i | ||||
\(944\) | 37.7926i | 1.23004i | ||||||||
\(945\) | 3.70722 | − | 4.04584i | 0.120596 | − | 0.131611i | ||||
\(946\) | −3.22728 | + | 22.4463i | −0.104928 | + | 0.729791i | ||||
\(947\) | −13.6006 | + | 29.7812i | −0.441961 | + | 0.967761i | 0.549273 | + | 0.835643i | \(0.314905\pi\) |
−0.991234 | + | 0.132117i | \(0.957822\pi\) | |||||||
\(948\) | 33.1507 | − | 9.73392i | 1.07668 | − | 0.316143i | ||||
\(949\) | −13.1797 | − | 28.8595i | −0.427830 | − | 0.936818i | ||||
\(950\) | 6.59335 | + | 7.60913i | 0.213916 | + | 0.246873i | ||||
\(951\) | 13.3851 | − | 1.92449i | 0.434042 | − | 0.0624058i | ||||
\(952\) | 1.63091 | − | 58.7548i | 0.0528582 | − | 1.90425i | ||||
\(953\) | 25.7824 | + | 22.3406i | 0.835175 | + | 0.723684i | 0.963402 | − | 0.268061i | \(-0.0863830\pi\) |
−0.128226 | + | 0.991745i | \(0.540928\pi\) | |||||||
\(954\) | 0.307184 | − | 0.477987i | 0.00994544 | − | 0.0154754i | ||||
\(955\) | −8.15192 | + | 12.6846i | −0.263790 | + | 0.410465i | ||||
\(956\) | −88.4077 | + | 102.028i | −2.85931 | + | 3.29982i | ||||
\(957\) | −0.476793 | − | 0.139999i | −0.0154125 | − | 0.00452553i | ||||
\(958\) | −3.45289 | − | 24.0154i | −0.111558 | − | 0.775903i | ||||
\(959\) | −9.34515 | − | 6.37896i | −0.301771 | − | 0.205987i | ||||
\(960\) | −10.5019 | + | 4.79608i | −0.338949 | + | 0.154793i | ||||
\(961\) | 14.2272 | − | 4.17749i | 0.458943 | − | 0.134758i | ||||
\(962\) | −1.12029 | + | 2.45309i | −0.0361196 | + | 0.0790908i | ||||
\(963\) | −15.2327 | − | 2.19013i | −0.490868 | − | 0.0705761i | ||||
\(964\) | 98.9339 | − | 63.5810i | 3.18645 | − | 2.04780i | ||||
\(965\) | 22.1311 | 0.712425 | ||||||||
\(966\) | −28.8878 | − | 15.8115i | −0.929451 | − | 0.508726i | ||||
\(967\) | 28.9877 | 0.932182 | 0.466091 | − | 0.884737i | \(-0.345662\pi\) | ||||
0.466091 | + | 0.884737i | \(0.345662\pi\) | |||||||
\(968\) | −59.6171 | + | 38.3136i | −1.91617 | + | 1.23145i | ||||
\(969\) | −17.2041 | − | 2.47358i | −0.552676 | − | 0.0794628i | ||||
\(970\) | −2.25638 | + | 4.94077i | −0.0724479 | + | 0.158639i | ||||
\(971\) | −47.5559 | + | 13.9637i | −1.52614 | + | 0.448116i | −0.933867 | − | 0.357620i | \(-0.883588\pi\) |
−0.592275 | + | 0.805736i | \(0.701770\pi\) | |||||||
\(972\) | −4.30810 | + | 1.96744i | −0.138182 | + | 0.0631057i | ||||
\(973\) | 3.63839 | + | 2.48355i | 0.116641 | + | 0.0796190i | ||||
\(974\) | −15.9362 | − | 110.838i | −0.510627 | − | 3.55149i | ||||
\(975\) | 1.84209 | + | 0.540885i | 0.0589940 | + | 0.0173222i | ||||
\(976\) | −53.7190 | + | 61.9951i | −1.71950 | + | 1.98441i | ||||
\(977\) | 13.4748 | − | 20.9673i | 0.431098 | − | 0.670802i | −0.555952 | − | 0.831215i | \(-0.687646\pi\) |
0.987050 | + | 0.160412i | \(0.0512824\pi\) | |||||||
\(978\) | 13.4941 | − | 20.9972i | 0.431493 | − | 0.671416i | ||||
\(979\) | −12.9734 | − | 11.2415i | −0.414633 | − | 0.359281i | ||||
\(980\) | 66.9485 | − | 15.6825i | 2.13859 | − | 0.500958i | ||||
\(981\) | −19.6581 | + | 2.82641i | −0.627636 | + | 0.0902404i | ||||
\(982\) | −50.4041 | − | 58.1695i | −1.60846 | − | 1.85626i | ||||
\(983\) | −2.29809 | − | 5.03212i | −0.0732977 | − | 0.160500i | 0.869436 | − | 0.494045i | \(-0.164482\pi\) |
−0.942734 | + | 0.333545i | \(0.891755\pi\) | |||||||
\(984\) | 35.1989 | − | 10.3353i | 1.12210 | − | 0.329478i | ||||
\(985\) | 4.71463 | − | 10.3236i | 0.150221 | − | 0.328937i | ||||
\(986\) | 0.568421 | − | 3.95345i | 0.0181022 | − | 0.125904i | ||||
\(987\) | 23.7092 | + | 21.7247i | 0.754671 | + | 0.691506i | ||||
\(988\) | 72.3486i | 2.30172i | ||||||||
\(989\) | −18.8987 | + | 36.9255i | −0.600945 | + | 1.17416i | ||||
\(990\) | 5.43785i | 0.172826i | ||||||||
\(991\) | 46.5006 | − | 29.8841i | 1.47714 | − | 0.949300i | 0.479726 | − | 0.877418i | \(-0.340736\pi\) |
0.997413 | − | 0.0718813i | \(-0.0229003\pi\) | |||||||
\(992\) | −60.6282 | − | 8.71702i | −1.92495 | − | 0.276766i | ||||
\(993\) | 11.2203 | + | 5.12412i | 0.356064 | + | 0.162609i | ||||
\(994\) | −37.1491 | − | 61.4922i | −1.17830 | − | 1.95041i | ||||
\(995\) | 8.50503 | + | 18.6234i | 0.269628 | + | 0.590402i | ||||
\(996\) | 17.0815 | − | 14.8012i | 0.541248 | − | 0.468994i | ||||
\(997\) | 9.96137 | − | 1.43223i | 0.315480 | − | 0.0453591i | 0.0172438 | − | 0.999851i | \(-0.494511\pi\) |
0.298236 | + | 0.954492i | \(0.403602\pi\) | |||||||
\(998\) | 20.2866 | + | 5.95670i | 0.642163 | + | 0.188556i | ||||
\(999\) | −0.247474 | + | 0.285601i | −0.00782974 | + | 0.00903600i |
(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 | 483.2.r.a.34.1 | ✓ | 320 | |
7.6 | odd | 2 | inner | 483.2.r.a.34.2 | yes | 320 | |
23.21 | odd | 22 | inner | 483.2.r.a.412.2 | yes | 320 | |
161.90 | even | 22 | inner | 483.2.r.a.412.1 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.r.a.34.1 | ✓ | 320 | 1.1 | even | 1 | trivial | |
483.2.r.a.34.2 | yes | 320 | 7.6 | odd | 2 | inner | |
483.2.r.a.412.1 | yes | 320 | 161.90 | even | 22 | inner | |
483.2.r.a.412.2 | yes | 320 | 23.21 | odd | 22 | inner |