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 | 412.2 | ||
Character | \(\chi\) | \(=\) | 483.412 |
Dual form | 483.2.r.a.34.2 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{22}\right)\) |
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 | −0.986837 | − | 0.161718i | \(-0.948296\pi\) |
−0.557051 | − | 0.830478i | \(-0.688067\pi\) | |||||||
\(3\) | 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 | \(-0.255585\pi\) |
0.195388 | + | 0.980726i | \(0.437403\pi\) | |||||||
\(6\) | −2.36086 | − | 1.07817i | −0.963816 | − | 0.440160i | ||||
\(7\) | 2.37524 | + | 1.16544i | 0.897755 | + | 0.440495i | ||||
\(8\) | 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 | 0.749106 | − | 0.662450i | \(-0.230483\pi\) |
−0.913776 | + | 0.406219i | \(0.866847\pi\) | |||||||
\(12\) | 2.56052 | + | 3.98425i | 0.739159 | + | 1.15015i | ||||
\(13\) | −2.07798 | + | 1.80058i | −0.576327 | + | 0.499390i | −0.893552 | − | 0.448960i | \(-0.851795\pi\) |
0.317225 | + | 0.948350i | \(0.397249\pi\) | |||||||
\(14\) | −3.55074 | − | 5.87749i | −0.948976 | − | 1.57082i | ||||
\(15\) | 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 | \(-0.739774\pi\) |
0.999229 | + | 0.0392637i | \(0.0125012\pi\) | |||||||
\(18\) | −2.49027 | − | 0.731208i | −0.586961 | − | 0.172347i | ||||
\(19\) | 2.30797 | + | 5.05375i | 0.529484 | + | 1.15941i | 0.965722 | + | 0.259578i | \(0.0835833\pi\) |
−0.436238 | + | 0.899831i | \(0.643689\pi\) | |||||||
\(20\) | 1.39795 | + | 9.72299i | 0.312592 | + | 2.17413i | ||||
\(21\) | 2.51692 | + | 0.815546i | 0.549237 | + | 0.177967i | ||||
\(22\) | 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 | ||||
\(28\) | −0.347687 | + | 12.5257i | −0.0657067 | + | 2.36713i | ||||
\(29\) | −0.204348 | + | 0.447459i | −0.0379464 | + | 0.0830911i | −0.927656 | − | 0.373436i | \(-0.878180\pi\) |
0.889710 | + | 0.456527i | \(0.150907\pi\) | |||||||
\(30\) | −4.06822 | − | 3.52514i | −0.742753 | − | 0.643599i | ||||
\(31\) | 6.70072 | + | 0.963419i | 1.20349 | + | 0.173035i | 0.714739 | − | 0.699391i | \(-0.246545\pi\) |
0.488746 | + | 0.872426i | \(0.337454\pi\) | |||||||
\(32\) | 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 | ||||
\(35\) | 4.04584 | + | 3.70722i | 0.683873 | + | 0.626634i | ||||
\(36\) | 3.10148 | + | 3.57930i | 0.516913 | + | 0.596549i | ||||
\(37\) | 0.106468 | + | 0.362596i | 0.0175032 | + | 0.0596104i | 0.967782 | − | 0.251791i | \(-0.0810197\pi\) |
−0.950278 | + | 0.311402i | \(0.899202\pi\) | |||||||
\(38\) | 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 | 0.764311 | + | 0.644848i | \(0.223079\pi\) |
−0.991610 | + | 0.129263i | \(0.958739\pi\) | |||||||
\(42\) | −4.35105 | − | 5.31234i | −0.671382 | − | 0.819712i | ||||
\(43\) | −8.56131 | + | 1.23093i | −1.30559 | + | 0.187715i | −0.759771 | − | 0.650190i | \(-0.774689\pi\) |
−0.545816 | + | 0.837905i | \(0.683780\pi\) | |||||||
\(44\) | 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 | ||||
\(49\) | 4.28350 | + | 5.53639i | 0.611929 | + | 0.790913i | ||||
\(50\) | 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 | 0.643424 | − | 0.765510i | \(-0.277513\pi\) |
−0.666150 | + | 0.745818i | \(0.732059\pi\) | |||||||
\(54\) | −2.56898 | − | 0.369364i | −0.349594 | − | 0.0502640i | ||||
\(55\) | −0.590283 | − | 2.01032i | −0.0795937 | − | 0.271071i | ||||
\(56\) | 10.5923 | − | 15.5176i | 1.41545 | − | 2.07363i | ||||
\(57\) | 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 | \(-0.638723\pi\) |
0.837224 | + | 0.546860i | \(0.184177\pi\) | |||||||
\(60\) | 2.76745 | + | 9.42507i | 0.357276 | + | 1.21677i | ||||
\(61\) | 1.30317 | − | 9.06375i | 0.166854 | − | 1.16049i | −0.718483 | − | 0.695545i | \(-0.755163\pi\) |
0.885337 | − | 0.464950i | \(-0.153928\pi\) | |||||||
\(62\) | −13.2784 | − | 11.5058i | −1.68636 | − | 1.46124i | ||||
\(63\) | 2.60737 | + | 0.449050i | 0.328497 | + | 0.0565750i | ||||
\(64\) | −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 | −0.378398 | − | 0.925643i | \(-0.623525\pi\) |
0.999187 | − | 0.0403230i | \(-0.0128387\pi\) | |||||||
\(68\) | 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 | −0.0984367 | − | 0.995143i | \(-0.531384\pi\) |
−0.946106 | + | 0.323856i | \(0.895021\pi\) | |||||||
\(72\) | −1.01061 | − | 7.02895i | −0.119102 | − | 0.828370i | ||||
\(73\) | 10.4960 | − | 4.79338i | 1.22847 | − | 0.561022i | 0.307830 | − | 0.951441i | \(-0.400397\pi\) |
0.920637 | + | 0.390419i | \(0.127670\pi\) | |||||||
\(74\) | 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 | ||||
\(77\) | −0.306812 | − | 2.65502i | −0.0349645 | − | 0.302568i | ||||
\(78\) | 6.84713 | − | 2.01050i | 0.775285 | − | 0.227644i | ||||
\(79\) | −5.51326 | + | 4.77727i | −0.620291 | + | 0.537485i | −0.907322 | − | 0.420436i | \(-0.861877\pi\) |
0.287031 | + | 0.957921i | \(0.407332\pi\) | |||||||
\(80\) | −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 | \(-0.506555\pi\) |
0.523203 | + | 0.852208i | \(0.324737\pi\) | |||||||
\(84\) | 1.43844 | + | 12.4477i | 0.156947 | + | 1.35815i | ||||
\(85\) | 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 | 0.558313 | + | 0.829630i | \(0.311449\pi\) |
−0.301964 | + | 0.953319i | \(0.597642\pi\) | |||||||
\(90\) | −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 | \(-0.392778\pi\) |
−0.232212 | + | 0.972665i | \(0.574596\pi\) | |||||||
\(98\) | −1.58400 | − | 18.0986i | −0.160008 | − | 1.82823i | ||||
\(99\) | −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 | 0.856554 | + | 0.516058i | \(0.172601\pi\) |
−0.441577 | + | 0.897223i | \(0.645581\pi\) | |||||||
\(102\) | −6.13634 | + | 5.31717i | −0.607589 | + | 0.526479i | ||||
\(103\) | 11.7082 | − | 7.52441i | 1.15364 | − | 0.741402i | 0.183282 | − | 0.983060i | \(-0.441328\pi\) |
0.970361 | + | 0.241659i | \(0.0776914\pi\) | |||||||
\(104\) | 10.5562 | + | 16.4257i | 1.03512 | + | 1.61067i | ||||
\(105\) | 4.53226 | + | 3.09370i | 0.442303 | + | 0.301914i | ||||
\(106\) | 0.160076 | + | 0.545169i | 0.0155480 | + | 0.0529515i | ||||
\(107\) | −15.2327 | − | 2.19013i | −1.47260 | − | 0.211728i | −0.641189 | − | 0.767383i | \(-0.721559\pi\) |
−0.831413 | + | 0.555654i | \(0.812468\pi\) | |||||||
\(108\) | 3.57930 | + | 3.10148i | 0.344418 | + | 0.298440i | ||||
\(109\) | −18.0655 | − | 8.25026i | −1.73037 | − | 0.790232i | −0.993453 | − | 0.114244i | \(-0.963555\pi\) |
−0.736913 | − | 0.675988i | \(-0.763717\pi\) | |||||||
\(110\) | −1.53202 | + | 5.21758i | −0.146072 | + | 0.497476i | ||||
\(111\) | 0.156987 | + | 0.343753i | 0.0149005 | + | 0.0326276i | ||||
\(112\) | −21.8246 | + | 9.24397i | −2.06223 | + | 0.873473i | ||||
\(113\) | −4.05541 | + | 6.31035i | −0.381501 | + | 0.593627i | −0.977903 | − | 0.209058i | \(-0.932960\pi\) |
0.596402 | + | 0.802686i | \(0.296596\pi\) | |||||||
\(114\) | − | 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 | ||||
\(119\) | 6.40339 | − | 5.24468i | 0.586998 | − | 0.480779i | ||||
\(120\) | 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 | ||||
\(126\) | −5.06279 | − | 4.63905i | −0.451029 | − | 0.413279i | ||||
\(127\) | 11.1692 | − | 7.17799i | 0.991104 | − | 0.636944i | 0.0586676 | − | 0.998278i | \(-0.481315\pi\) |
0.932437 | + | 0.361334i | \(0.117678\pi\) | |||||||
\(128\) | −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 | \(-0.539940\pi\) |
−0.999850 | + | 0.0173243i | \(0.994485\pi\) | |||||||
\(132\) | 1.98748 | − | 4.35197i | 0.172988 | − | 0.378790i | ||||
\(133\) | −0.407865 | + | 14.6936i | −0.0353664 | + | 1.27410i | ||||
\(134\) | −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 | \(0.0584791\pi\) | ||||
−0.983171 | + | 0.182686i | \(0.941521\pi\) | |||||||
\(138\) | 1.21972 | − | 12.3872i | 0.103830 | − | 1.05447i | ||||
\(139\) | 1.66501i | 0.141225i | 0.997504 | + | 0.0706123i | \(0.0224953\pi\) | ||||
−0.997504 | + | 0.0706123i | \(0.977505\pi\) | |||||||
\(140\) | −8.01108 | + | 24.7236i | −0.677060 | + | 2.08953i | ||||
\(141\) | −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 | ||||
\(147\) | 5.02781 | + | 4.87043i | 0.414687 | + | 0.401707i | ||||
\(148\) | −1.35263 | + | 1.17206i | −0.111185 | + | 0.0963427i | ||||
\(149\) | −1.32442 | − | 2.06084i | −0.108501 | − | 0.168831i | 0.782757 | − | 0.622328i | \(-0.213813\pi\) |
−0.891258 | + | 0.453497i | \(0.850176\pi\) | |||||||
\(150\) | 0.979756 | + | 1.52453i | 0.0799968 | + | 0.124477i | ||||
\(151\) | 0.444442 | + | 0.512914i | 0.0361682 | + | 0.0417403i | 0.773545 | − | 0.633741i | \(-0.218481\pi\) |
−0.737377 | + | 0.675481i | \(0.763936\pi\) | |||||||
\(152\) | 37.8550 | − | 11.1152i | 3.07045 | − | 0.901565i | ||||
\(153\) | 0.445224 | − | 3.09660i | 0.0359942 | − | 0.250345i | ||||
\(154\) | −3.05558 | + | 6.22746i | −0.246226 | + | 0.501823i | ||||
\(155\) | 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 | \(-0.0177536\pi\) |
−0.695972 | + | 0.718069i | \(0.745026\pi\) | |||||||
\(158\) | 18.7410 | − | 2.69454i | 1.49095 | − | 0.214366i | ||||
\(159\) | −0.184167 | − | 0.118357i | −0.0146054 | − | 0.00938633i | ||||
\(160\) | 18.7662 | 1.48360 | ||||||||
\(161\) | −1.59329 | + | 12.5881i | −0.125569 | + | 0.992085i | ||||
\(162\) | −2.59540 | −0.203914 | ||||||||
\(163\) | 8.09016 | + | 5.19923i | 0.633670 | + | 0.407235i | 0.817667 | − | 0.575692i | \(-0.195267\pi\) |
−0.183997 | + | 0.982927i | \(0.558904\pi\) | |||||||
\(164\) | −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 | \(-0.456004\pi\) |
−0.658316 | + | 0.752741i | \(0.728731\pi\) | |||||||
\(168\) | 8.27606 | − | 16.8671i | 0.638512 | − | 1.30133i | ||||
\(169\) | −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 | \(-0.255107\pi\) |
−0.942436 | + | 0.334386i | \(0.891471\pi\) | |||||||
\(174\) | 0.964872 | − | 0.836066i | 0.0731468 | − | 0.0633820i | ||||
\(175\) | −0.955258 | − | 1.58122i | −0.0722107 | − | 0.119529i | ||||
\(176\) | 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 | 0.244734 | − | 0.969590i | \(-0.421299\pi\) |
−0.318316 | + | 0.947985i | \(0.603117\pi\) | |||||||
\(180\) | 4.08061 | + | 8.93529i | 0.304151 | + | 0.665997i | ||||
\(181\) | −1.24975 | − | 8.69219i | −0.0928930 | − | 0.646085i | −0.982069 | − | 0.188520i | \(-0.939631\pi\) |
0.889176 | − | 0.457565i | \(-0.151278\pi\) | |||||||
\(182\) | 17.9612 | + | 5.81990i | 1.33138 | + | 0.431399i | ||||
\(183\) | − | 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 | ||||
\(189\) | 2.64473 | + | 0.0734124i | 0.192376 | + | 0.00533996i | ||||
\(190\) | 12.4239 | − | 27.2045i | 0.901322 | − | 1.97362i | ||||
\(191\) | 5.49422 | + | 4.76077i | 0.397548 | + | 0.344477i | 0.830578 | − | 0.556902i | \(-0.188010\pi\) |
−0.433030 | + | 0.901379i | \(0.642556\pi\) | |||||||
\(192\) | −5.50982 | − | 0.792193i | −0.397637 | − | 0.0571716i | ||||
\(193\) | −10.2382 | + | 3.00619i | −0.736958 | + | 0.216390i | −0.628608 | − | 0.777722i | \(-0.716375\pi\) |
−0.108350 | + | 0.994113i | \(0.534557\pi\) | |||||||
\(194\) | −1.71496 | − | 1.97917i | −0.123127 | − | 0.142096i | ||||
\(195\) | −4.79748 | + | 3.08315i | −0.343554 | + | 0.220789i | ||||
\(196\) | −15.4238 | + | 29.3463i | −1.10170 | + | 2.09616i | ||||
\(197\) | −3.58337 | − | 4.13543i | −0.255305 | − | 0.294637i | 0.613600 | − | 0.789617i | \(-0.289721\pi\) |
−0.868904 | + | 0.494980i | \(0.835175\pi\) | |||||||
\(198\) | 0.738654 | + | 2.51562i | 0.0524938 | + | 0.178778i | ||||
\(199\) | 1.40482 | − | 9.77074i | 0.0995851 | − | 0.692629i | −0.877468 | − | 0.479635i | \(-0.840769\pi\) |
0.977053 | − | 0.212995i | \(-0.0683217\pi\) | |||||||
\(200\) | −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 | ||||
\(203\) | −1.00686 | + | 0.824667i | −0.0706678 | + | 0.0578803i | ||||
\(204\) | 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 | ||||
\(210\) | −5.55466 | − | 13.1143i | −0.383308 | − | 0.904973i | ||||
\(211\) | 2.31217 | + | 5.06294i | 0.159176 | + | 0.348547i | 0.972370 | − | 0.233446i | \(-0.0750002\pi\) |
−0.813194 | + | 0.581993i | \(0.802273\pi\) | |||||||
\(212\) | 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 | ||||
\(217\) | 14.7930 | + | 10.0976i | 1.00421 | + | 0.685472i | ||||
\(218\) | 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 | −0.962413 | − | 0.271589i | \(-0.912451\pi\) |
−0.405790 | − | 0.913966i | \(-0.633004\pi\) | |||||||
\(224\) | 23.5915 | + | 4.06301i | 1.57627 | + | 0.271471i | ||||
\(225\) | −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 | −0.962237 | − | 0.272215i | \(-0.912244\pi\) |
0.846568 | − | 0.532281i | \(-0.178665\pi\) | |||||||
\(228\) | −14.2258 | + | 22.1358i | −0.942126 | + | 1.46598i | ||||
\(229\) | −14.1871 | −0.937511 | −0.468755 | − | 0.883328i | \(-0.655297\pi\) | ||||
−0.468755 | + | 0.883328i | \(0.655297\pi\) | |||||||
\(230\) | 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 | −0.479080 | − | 0.877771i | \(-0.659030\pi\) |
0.212377 | − | 0.977188i | \(-0.431879\pi\) | |||||||
\(234\) | 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 | ||||
\(238\) | −21.3403 | + | 2.46607i | −1.38329 | + | 0.159851i | ||||
\(239\) | −27.3504 | + | 8.03080i | −1.76915 | + | 0.519469i | −0.993713 | − | 0.111957i | \(-0.964288\pi\) |
−0.775436 | + | 0.631426i | \(0.782470\pi\) | |||||||
\(240\) | −14.0420 | + | 12.1675i | −0.906407 | + | 0.785406i | ||||
\(241\) | −20.8894 | + | 13.4248i | −1.34560 | + | 0.864766i | −0.997358 | − | 0.0726373i | \(-0.976858\pi\) |
−0.348244 | + | 0.937404i | \(0.613222\pi\) | |||||||
\(242\) | −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 | ||||
\(245\) | 5.28930 | + | 13.5207i | 0.337921 | + | 0.863806i | ||||
\(246\) | 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 | \(-0.339110\pi\) |
−0.594743 | + | 0.803916i | \(0.702746\pi\) | |||||||
\(252\) | 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 | \(-0.720665\pi\) |
0.162830 | + | 0.986654i | \(0.447938\pi\) | |||||||
\(258\) | 21.5392 | + | 6.32447i | 1.34097 | + | 0.393744i | ||||
\(259\) | −0.169698 | + | 0.985333i | −0.0105445 | + | 0.0612256i | ||||
\(260\) | −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 | 0.0115742 | − | 0.999933i | \(-0.496316\pi\) |
0.991402 | + | 0.130849i | \(0.0417703\pi\) | |||||||
\(264\) | −6.03477 | + | 3.87831i | −0.371414 | + | 0.238694i | ||||
\(265\) | −0.245481 | − | 0.381975i | −0.0150798 | − | 0.0234646i | ||||
\(266\) | 21.5083 | − | 31.5096i | 1.31876 | − | 1.93198i | ||||
\(267\) | 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 | \(-0.0442795\pi\) |
0.00369140 | + | 0.999993i | \(0.498825\pi\) | |||||||
\(270\) | −4.89658 | − | 2.23619i | −0.297996 | − | 0.136090i | ||||
\(271\) | −3.61685 | + | 12.3179i | −0.219708 | + | 0.748257i | 0.773692 | + | 0.633561i | \(0.218408\pi\) |
−0.993401 | + | 0.114696i | \(0.963411\pi\) | |||||||
\(272\) | 11.6423 | + | 25.4930i | 0.705917 | + | 1.54574i | ||||
\(273\) | −6.69856 | + | 2.83722i | −0.405415 | + | 0.171717i | ||||
\(274\) | 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 | ||||
\(280\) | 30.1466 | − | 24.6915i | 1.80161 | − | 1.47560i | ||||
\(281\) | −5.47619 | + | 18.6502i | −0.326682 | + | 1.11258i | 0.618433 | + | 0.785838i | \(0.287768\pi\) |
−0.945115 | + | 0.326739i | \(0.894050\pi\) | |||||||
\(282\) | −13.1044 | + | 28.6946i | −0.780353 | + | 1.70874i | ||||
\(283\) | 10.3526 | − | 11.9476i | 0.615400 | − | 0.710210i | −0.359427 | − | 0.933173i | \(-0.617028\pi\) |
0.974827 | + | 0.222964i | \(0.0715731\pi\) | |||||||
\(284\) | 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 | ||||
\(287\) | −9.23375 | + | 10.0772i | −0.545051 | + | 0.594838i | ||||
\(288\) | 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 | 0.0401972 | + | 0.999192i | \(0.487201\pi\) |
−0.781462 | + | 0.623952i | \(0.785526\pi\) | |||||||
\(294\) | −4.14357 | − | 17.6890i | −0.241658 | − | 1.03164i | ||||
\(295\) | 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 | ||||||
\(301\) | −21.7697 | − | 7.05394i | −1.25478 | − | 0.406582i | ||||
\(302\) | −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 | \(-0.800134\pi\) |
−0.941985 | + | 0.335654i | \(0.891043\pi\) | |||||||
\(308\) | 10.8345 | − | 6.54538i | 0.617351 | − | 0.372958i | ||||
\(309\) | 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 | \(-0.192599\pi\) |
−0.859079 | + | 0.511843i | \(0.828963\pi\) | |||||||
\(312\) | 12.7863 | + | 14.7562i | 0.723883 | + | 0.835406i | ||||
\(313\) | 13.4674 | − | 3.95440i | 0.761224 | − | 0.223516i | 0.121994 | − | 0.992531i | \(-0.461071\pi\) |
0.639231 | + | 0.769015i | \(0.279253\pi\) | |||||||
\(314\) | 3.36983 | − | 23.4377i | 0.190171 | − | 1.32267i | ||||
\(315\) | 4.92640 | + | 2.41720i | 0.277571 | + | 0.136194i | ||||
\(316\) | −31.4280 | − | 14.3527i | −1.76796 | − | 0.807401i | ||||
\(317\) | −12.9750 | − | 3.80980i | −0.728748 | − | 0.213980i | −0.103747 | − | 0.994604i | \(-0.533083\pi\) |
−0.625001 | + | 0.780624i | \(0.714901\pi\) | |||||||
\(318\) | 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 | ||||||||
\(322\) | 21.1422 | − | 25.2491i | 1.17821 | − | 1.40708i | ||||
\(323\) | 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 | ||||
\(329\) | 14.1651 | − | 28.8693i | 0.780947 | − | 1.59162i | ||||
\(330\) | −0.773886 | + | 5.38250i | −0.0426010 | + | 0.296297i | ||||
\(331\) | −11.8353 | + | 3.47516i | −0.650527 | + | 0.191012i | −0.590314 | − | 0.807174i | \(-0.700996\pi\) |
−0.0602126 | + | 0.998186i | \(0.519178\pi\) | |||||||
\(332\) | 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 | ||||
\(336\) | −20.2869 | + | 12.2558i | −1.10674 | + | 0.668611i | ||||
\(337\) | −32.2360 | − | 4.63483i | −1.75600 | − | 0.252475i | −0.812294 | − | 0.583248i | \(-0.801781\pi\) |
−0.943710 | + | 0.330773i | \(0.892691\pi\) | |||||||
\(338\) | 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 | ||||
\(343\) | 3.72200 | + | 18.1424i | 0.200969 | + | 0.979598i | ||||
\(344\) | 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 | 0.954266 | − | 0.298957i | \(-0.0966389\pi\) |
0.124475 | + | 0.992223i | \(0.460275\pi\) | |||||||
\(348\) | −2.30603 | + | 0.331557i | −0.123616 | + | 0.0177733i | ||||
\(349\) | −12.3410 | + | 5.63593i | −0.660597 | + | 0.301685i | −0.717360 | − | 0.696703i | \(-0.754650\pi\) |
0.0567624 | + | 0.998388i | \(0.481922\pi\) | |||||||
\(350\) | −0.133039 | + | 4.79282i | −0.00711122 | + | 0.256187i | ||||
\(351\) | −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 | \(-0.212932\pi\) |
0.577980 | + | 0.816051i | \(0.303841\pi\) | |||||||
\(354\) | −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 | ||||
\(357\) | 5.59182 | − | 6.10259i | 0.295950 | − | 0.322983i | ||||
\(358\) | 1.74385 | + | 2.01251i | 0.0921654 | + | 0.106365i | ||||
\(359\) | 1.51344 | + | 5.15429i | 0.0798761 | + | 0.272033i | 0.989741 | − | 0.142871i | \(-0.0456334\pi\) |
−0.909865 | + | 0.414904i | \(0.863815\pi\) | |||||||
\(360\) | 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 | ||||
\(364\) | −21.8310 | − | 26.6541i | −1.14425 | − | 1.39706i | ||||
\(365\) | 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 | \(-0.598063\pi\) | ||||
−0.303223 | + | 0.952920i | \(0.598063\pi\) | |||||||
\(368\) | −39.8379 | − | 16.0852i | −2.07670 | − | 0.838502i | ||||
\(369\) | 5.16599i | 0.268931i | ||||||||
\(370\) | 1.09981 | − | 1.71133i | 0.0571763 | − | 0.0889681i | ||||
\(371\) | −0.225900 | − | 0.533339i | −0.0117281 | − | 0.0276896i | ||||
\(372\) | 13.3188 | + | 29.1642i | 0.690550 | + | 1.51209i | ||||
\(373\) | −2.67715 | + | 9.11753i | −0.138618 | + | 0.472088i | −0.999314 | − | 0.0370302i | \(-0.988210\pi\) |
0.860697 | + | 0.509118i | \(0.170028\pi\) | |||||||
\(374\) | 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 | ||||
\(378\) | −5.67146 | − | 3.87132i | −0.291709 | − | 0.199119i | ||||
\(379\) | −14.4188 | − | 22.4361i | −0.740646 | − | 1.15247i | −0.983236 | − | 0.182338i | \(-0.941633\pi\) |
0.242590 | − | 0.970129i | \(-0.422003\pi\) | |||||||
\(380\) | −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 | −0.886110 | − | 0.463474i | \(-0.846603\pi\) |
0.980792 | − | 0.195054i | \(-0.0624882\pi\) | |||||||
\(384\) | −2.75757 | − | 2.38945i | −0.140722 | − | 0.121936i | ||||
\(385\) | 0.940844 | − | 5.46292i | 0.0479498 | − | 0.278416i | ||||
\(386\) | 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 | −0.617532 | − | 0.786546i | \(-0.711867\pi\) |
0.971999 | + | 0.234984i | \(0.0755037\pi\) | |||||||
\(390\) | 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 | \(-0.534310\pi\) |
−0.821813 | + | 0.569758i | \(0.807037\pi\) | |||||||
\(398\) | −16.7774 | + | 19.3621i | −0.840973 | + | 0.970534i | ||||
\(399\) | 1.68741 | + | 14.6021i | 0.0844761 | + | 0.731021i | ||||
\(400\) | 6.00171 | − | 1.76226i | 0.300086 | − | 0.0881131i | ||||
\(401\) | 0.173162 | − | 0.150046i | 0.00864729 | − | 0.00749292i | −0.650526 | − | 0.759484i | \(-0.725452\pi\) |
0.659174 | + | 0.751991i | \(0.270906\pi\) | |||||||
\(402\) | −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 | ||||
\(406\) | 3.35552 | − | 0.387761i | 0.166532 | − | 0.0192443i | ||||
\(407\) | 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 | −0.723182 | − | 0.690658i | \(-0.757321\pi\) |
0.981777 | − | 0.190037i | \(-0.0608607\pi\) | |||||||
\(410\) | 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 | \(-0.332981\pi\) |
−0.0464761 | + | 0.998919i | \(0.514799\pi\) | |||||||
\(420\) | −4.41100 | + | 25.6121i | −0.215235 | + | 1.24974i | ||||
\(421\) | 3.80770 | + | 3.29939i | 0.185576 | + | 0.160802i | 0.742694 | − | 0.669631i | \(-0.233548\pi\) |
−0.557118 | + | 0.830433i | \(0.688093\pi\) | |||||||
\(422\) | 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 | ||||
\(427\) | 13.6586 | − | 20.0098i | 0.660986 | − | 0.968342i | ||||
\(428\) | −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 | 0.939813 | − | 0.341689i | \(-0.110999\pi\) |
0.357215 | + | 0.934022i | \(0.383726\pi\) | |||||||
\(432\) | −2.52386 | + | 8.59547i | −0.121429 | + | 0.413550i | ||||
\(433\) | 12.7693 | + | 27.9609i | 0.613655 | + | 1.34372i | 0.920046 | + | 0.391811i | \(0.128151\pi\) |
−0.306391 | + | 0.951906i | \(0.599122\pi\) | |||||||
\(434\) | −18.1301 | − | 42.8043i | −0.870271 | − | 2.05467i | ||||
\(435\) | −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 | 0.0861944 | − | 0.996278i | \(-0.472529\pi\) |
0.870440 | − | 0.492274i | \(-0.163834\pi\) | |||||||
\(440\) | −14.7270 | + | 2.11742i | −0.702081 | + | 0.100944i | ||||
\(441\) | 5.66977 | + | 4.10533i | 0.269989 | + | 0.195492i | ||||
\(442\) | 6.28973 | − | 21.4208i | 0.299172 | − | 1.01889i | ||||
\(443\) | −7.05817 | + | 15.4552i | −0.335344 | + | 0.734301i | −0.999916 | − | 0.0129231i | \(-0.995886\pi\) |
0.664573 | + | 0.747224i | \(0.268614\pi\) | |||||||
\(444\) | −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 | ||||
\(448\) | −10.8584 | − | 9.94960i | −0.513013 | − | 0.470074i | ||||
\(449\) | 5.61401 | − | 3.60791i | 0.264942 | − | 0.170268i | −0.401425 | − | 0.915892i | \(-0.631485\pi\) |
0.666367 | + | 0.745624i | \(0.267849\pi\) | |||||||
\(450\) | 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 | ||||
\(455\) | −15.0823 | − | 0.418654i | −0.707069 | − | 0.0196268i | ||||
\(456\) | 35.8878 | − | 16.3894i | 1.68060 | − | 0.767505i | ||||
\(457\) | 14.6726 | − | 2.10960i | 0.686355 | − | 0.0986829i | 0.209690 | − | 0.977768i | \(-0.432755\pi\) |
0.476665 | + | 0.879085i | \(0.341846\pi\) | |||||||
\(458\) | 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 | \(0.851107\pi\) | |||||||
\(462\) | −2.13822 | + | 6.59893i | −0.0994790 | + | 0.307010i | ||||
\(463\) | 1.84806 | + | 12.8535i | 0.0858865 | + | 0.597354i | 0.986627 | + | 0.162996i | \(0.0521157\pi\) |
−0.900740 | + | 0.434358i | \(0.856975\pi\) | |||||||
\(464\) | −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 | \(-0.548575\pi\) |
0.999952 | + | 0.00980155i | \(0.00311998\pi\) | |||||||
\(468\) | −12.8896 | − | 1.85325i | −0.595822 | − | 0.0856663i | ||||
\(469\) | 21.2843 | − | 12.8584i | 0.982819 | − | 0.593747i | ||||
\(470\) | −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 | ||||
\(476\) | 35.1929 | + | 17.2678i | 1.61306 | + | 0.791469i | ||||
\(477\) | −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 | \(-0.0678559\pi\) |
−0.799927 | + | 0.600097i | \(0.795129\pi\) | |||||||
\(480\) | 18.5752 | − | 2.67071i | 0.847837 | − | 0.121901i | ||||
\(481\) | −0.874120 | − | 0.561763i | −0.0398564 | − | 0.0256142i | ||||
\(482\) | 64.4470 | 2.93548 | ||||||||
\(483\) | 0.214408 | + | 12.6868i | 0.00975592 | + | 0.577268i | ||||
\(484\) | 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 | −0.597786 | − | 0.801655i | \(-0.703953\pi\) |
−0.214384 | − | 0.976749i | \(-0.568774\pi\) | |||||||
\(488\) | −62.3917 | − | 18.3199i | −2.82434 | − | 0.829301i | ||||
\(489\) | 8.74774 | + | 3.99496i | 0.395587 | + | 0.180658i | ||||
\(490\) | 7.42336 | − | 36.9428i | 0.335353 | − | 1.66890i | ||||
\(491\) | 4.22050 | − | 29.3542i | 0.190468 | − | 1.32474i | −0.640303 | − | 0.768123i | \(-0.721191\pi\) |
0.830771 | − | 0.556614i | \(-0.187900\pi\) | |||||||
\(492\) | −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 | ||||
\(497\) | −14.3134 | − | 23.6928i | −0.642045 | − | 1.06277i | ||||
\(498\) | −12.2600 | − | 1.76272i | −0.549382 | − | 0.0789892i | ||||
\(499\) | −5.33474 | + | 6.15662i | −0.238816 | + | 0.275608i | −0.862488 | − | 0.506078i | \(-0.831095\pi\) |
0.623672 | + | 0.781686i | \(0.285640\pi\) | |||||||
\(500\) | 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 | 0.998141 | + | 0.0609413i | \(0.0194102\pi\) |
−0.940540 | + | 0.339682i | \(0.889681\pi\) | |||||||
\(504\) | 5.79138 | − | 17.8732i | 0.257969 | − | 0.796137i | ||||
\(505\) | 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 | \(-0.663373\pi\) |
−0.225690 | + | 0.974199i | \(0.572464\pi\) | |||||||
\(510\) | −15.3187 | + | 6.99579i | −0.678321 | + | 0.309779i | ||||
\(511\) | 30.5170 | + | 0.847088i | 1.34999 | + | 0.0374730i | ||||
\(512\) | 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 | ||||
\(518\) | 1.75311 | − | 1.91325i | 0.0770274 | − | 0.0840633i | ||||
\(519\) | −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 | \(-0.914118\pi\) |
0.999875 | + | 0.0157919i | \(0.00502694\pi\) | |||||||
\(522\) | 0.836066 | − | 0.964872i | 0.0365936 | − | 0.0422313i | ||||
\(523\) | −0.508065 | + | 1.11251i | −0.0222161 | + | 0.0486465i | −0.920415 | − | 0.390943i | \(-0.872149\pi\) |
0.898199 | + | 0.439590i | \(0.144876\pi\) | |||||||
\(524\) | 22.7334 | − | 77.4230i | 0.993115 | − | 3.38224i | ||||
\(525\) | −1.17057 | − | 1.42918i | −0.0510877 | − | 0.0623746i | ||||
\(526\) | −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 | ||||
\(532\) | −64.1041 | + | 27.1518i | −2.77926 | + | 1.17718i | ||||
\(533\) | −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 | ||||
\(539\) | 2.36552 | − | 6.66388i | 0.101890 | − | 0.287034i | ||||
\(540\) | 5.31070 | + | 8.26361i | 0.228536 | + | 0.355609i | ||||
\(541\) | 26.8117 | − | 17.2308i | 1.15272 | − | 0.740810i | 0.182544 | − | 0.983198i | \(-0.441567\pi\) |
0.970180 | + | 0.242388i | \(0.0779305\pi\) | |||||||
\(542\) | 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 | ||||
\(546\) | 18.6067 | + | 3.20451i | 0.796292 | + | 0.137140i | ||||
\(547\) | 23.4102 | + | 6.87386i | 1.00095 | + | 0.293905i | 0.740845 | − | 0.671676i | \(-0.234425\pi\) |
0.260104 | + | 0.965581i | \(0.416243\pi\) | |||||||
\(548\) | −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 | −0.999960 | − | 0.00894714i | \(-0.997152\pi\) |
0.846057 | + | 0.533092i | \(0.178970\pi\) | |||||||
\(558\) | −15.9821 | − | 7.29879i | −0.676577 | − | 0.308982i | ||||
\(559\) | 15.5738 | − | 17.9731i | 0.658702 | − | 0.760183i | ||||
\(560\) | −48.8337 | + | 5.64318i | −2.06360 | + | 0.238468i | ||||
\(561\) | −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 | \(-0.370513\pi\) |
0.999767 | + | 0.0216015i | \(0.00687650\pi\) | |||||||
\(564\) | 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 | ||||
\(567\) | 2.62826 | − | 0.303720i | 0.110377 | − | 0.0127550i | ||||
\(568\) | −48.6532 | + | 56.1488i | −2.04144 | + | 2.35595i | ||||
\(569\) | 23.1176 | + | 10.5575i | 0.969141 | + | 0.442592i | 0.836135 | − | 0.548523i | \(-0.184810\pi\) |
0.133006 | + | 0.991115i | \(0.457537\pi\) | |||||||
\(570\) | 8.42581 | − | 28.6957i | 0.352918 | − | 1.20193i | ||||
\(571\) | −29.0788 | + | 13.2799i | −1.21691 | + | 0.555745i | −0.917254 | − | 0.398302i | \(-0.869600\pi\) |
−0.299657 | + | 0.954047i | \(0.596872\pi\) | |||||||
\(572\) | 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 | \(-0.786820\pi\) |
0.890355 | + | 0.455267i | \(0.150456\pi\) | |||||||
\(578\) | −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 | ||||
\(581\) | 12.4431 | + | 2.14300i | 0.516229 | + | 0.0889068i | ||||
\(582\) | −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 | \(-0.283573\pi\) |
−0.968534 | + | 0.248881i | \(0.919937\pi\) | |||||||
\(588\) | −11.0904 | + | 31.2426i | −0.457359 | + | 1.28842i | ||||
\(589\) | 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 | \(-0.943895\pi\) |
0.923020 | + | 0.384753i | \(0.125713\pi\) | |||||||
\(594\) | 1.08915 | + | 2.38490i | 0.0446882 | + | 0.0978535i | ||||
\(595\) | 15.8077 | − | 6.69548i | 0.648053 | − | 0.274488i | ||||
\(596\) | 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 | \(-0.631745\pi\) |
−0.127938 | + | 0.991782i | \(0.540836\pi\) | |||||||
\(602\) | 37.6338 | + | 45.9482i | 1.53384 | + | 1.87271i | ||||
\(603\) | 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 | \(-0.0200898\pi\) |
−0.873678 | + | 0.486505i | \(0.838272\pi\) | |||||||
\(608\) | 32.9192 | + | 37.9908i | 1.33505 | + | 1.54073i | ||||
\(609\) | −0.879251 | + | 0.959564i | −0.0356290 | + | 0.0388835i | ||||
\(610\) | −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 | 0.226487 | − | 0.974014i | \(-0.427276\pi\) |
−0.0570990 | + | 0.998369i | \(0.518185\pi\) | |||||||
\(614\) | 60.8054 | + | 52.6882i | 2.45391 | + | 2.12632i | ||||
\(615\) | −4.45101 | + | 9.74635i | −0.179482 | + | 0.393011i | ||||
\(616\) | −18.9721 | − | 0.526627i | −0.764408 | − | 0.0212184i | ||||
\(617\) | −11.9294 | + | 5.44798i | −0.480260 | + | 0.219327i | −0.640809 | − | 0.767700i | \(-0.721401\pi\) |
0.160549 | + | 0.987028i | \(0.448674\pi\) | |||||||
\(618\) | −35.7540 | + | 5.14064i | −1.43824 | + | 0.206787i | ||||
\(619\) | 26.1921 | + | 16.8326i | 1.05275 | + | 0.676560i | 0.948107 | − | 0.317950i | \(-0.102994\pi\) |
0.104641 | + | 0.994510i | \(0.466631\pi\) | |||||||
\(620\) | 66.4978i | 2.67062i | ||||||||
\(621\) | 3.29925 | + | 3.48066i | 0.132394 | + | 0.139674i | ||||
\(622\) | 3.09985i | 0.124293i | ||||||||
\(623\) | −13.8588 | + | 42.7707i | −0.555241 | + | 1.71357i | ||||
\(624\) | −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 | ||||
\(630\) | −7.36448 | − | 12.1903i | −0.293408 | − | 0.485673i | ||||
\(631\) | 15.8261 | − | 13.7134i | 0.630029 | − | 0.545923i | −0.280246 | − | 0.959928i | \(-0.590416\pi\) |
0.910274 | + | 0.414005i | \(0.135871\pi\) | |||||||
\(632\) | 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 | ||||
\(637\) | −18.8697 | − | 3.79172i | −0.747646 | − | 0.150233i | ||||
\(638\) | −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 | 0.0348783 | − | 0.999392i | \(-0.488896\pi\) |
0.315027 | + | 0.949083i | \(0.397987\pi\) | |||||||
\(642\) | 33.6009 | + | 21.5940i | 1.32612 | + | 0.852248i | ||||
\(643\) | 41.3988 | 1.63261 | 0.816304 | − | 0.577622i | \(-0.196019\pi\) | ||||
0.816304 | + | 0.577622i | \(0.196019\pi\) | |||||||
\(644\) | −57.3657 | + | 17.9024i | −2.26052 | + | 0.705454i | ||||
\(645\) | −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 | \(-0.736777\pi\) |
−0.442387 | + | 0.896824i | \(0.645868\pi\) | |||||||
\(648\) | −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 | ||||
\(651\) | 16.0795 | + | 7.88959i | 0.630204 | + | 0.309218i | ||||
\(652\) | −6.48187 | + | 45.0824i | −0.253850 | + | 1.76556i | ||||
\(653\) | −8.76888 | + | 2.57478i | −0.343153 | + | 0.100759i | −0.448768 | − | 0.893648i | \(-0.648137\pi\) |
0.105615 | + | 0.994407i | \(0.466319\pi\) | |||||||
\(654\) | 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 | ||||
\(658\) | −71.4367 | + | 43.1568i | −2.78489 | + | 1.68243i | ||||
\(659\) | 31.5462 | + | 4.53566i | 1.22887 | + | 0.176684i | 0.726009 | − | 0.687685i | \(-0.241373\pi\) |
0.502857 | + | 0.864369i | \(0.332282\pi\) | |||||||
\(660\) | 6.49818 | − | 7.49930i | 0.252941 | − | 0.291910i | ||||
\(661\) | 7.85300 | − | 17.1957i | 0.305446 | − | 0.668834i | −0.693206 | − | 0.720740i | \(-0.743802\pi\) |
0.998652 | + | 0.0519056i | \(0.0165295\pi\) | |||||||
\(662\) | 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 | ||||
\(665\) | −9.39765 | + | 29.0028i | −0.364425 | + | 1.12468i | ||||
\(666\) | − | 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 | ||||
\(672\) | 23.9296 | + | 0.664236i | 0.923103 | + | 0.0256235i | ||||
\(673\) | 3.15616 | − | 6.91103i | 0.121661 | − | 0.266401i | −0.838996 | − | 0.544137i | \(-0.816857\pi\) |
0.960657 | + | 0.277737i | \(0.0895843\pi\) | |||||||
\(674\) | 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 | \(-0.421087\pi\) |
−0.994481 | + | 0.104920i | \(0.966541\pi\) | |||||||
\(678\) | 16.3779 | − | 10.5254i | 0.628988 | − | 0.404226i | ||||
\(679\) | 1.96829 | + | 1.80355i | 0.0755359 | + | 0.0692137i | ||||
\(680\) | −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 | −0.726515 | − | 0.687151i | \(-0.758861\pi\) |
0.783550 | + | 0.621328i | \(0.213407\pi\) | |||||||
\(684\) | −10.9307 | + | 23.9350i | −0.417947 | + | 0.915177i | ||||
\(685\) | −2.49894 | + | 8.51059i | −0.0954794 | + | 0.325173i | ||||
\(686\) | 17.3305 | − | 44.8345i | 0.661680 | − | 1.71179i | ||||
\(687\) | −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 | ||||
\(693\) | −1.04239 | − | 2.46104i | −0.0395972 | − | 0.0934871i | ||||
\(694\) | −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 | ||||
\(700\) | 4.93265 | − | 7.22631i | 0.186437 | − | 0.273129i | ||||
\(701\) | −10.4228 | − | 16.2182i | −0.393663 | − | 0.612552i | 0.586688 | − | 0.809813i | \(-0.300432\pi\) |
−0.980351 | + | 0.197261i | \(0.936795\pi\) | |||||||
\(702\) | 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 | ||||
\(707\) | −6.64725 | + | 38.5966i | −0.249996 | + | 1.45158i | ||||
\(708\) | 19.1708 | + | 5.62906i | 0.720483 | + | 0.211553i | ||||
\(709\) | −4.93459 | + | 2.25355i | −0.185322 | + | 0.0846339i | −0.505915 | − | 0.862583i | \(-0.668845\pi\) |
0.320593 | + | 0.947217i | \(0.396118\pi\) | |||||||
\(710\) | 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 | \(-0.444368\pi\) |
−0.630365 | + | 0.776299i | \(0.717095\pi\) | |||||||
\(720\) | −12.1675 | + | 14.0420i | −0.453455 | + | 0.523314i | ||||
\(721\) | 36.5790 | − | 4.22704i | 1.36227 | − | 0.157423i | ||||
\(722\) | 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 | \(-0.453104\pi\) |
0.658277 | + | 0.752776i | \(0.271285\pi\) | |||||||
\(728\) | 5.93020 | + | 51.3175i | 0.219788 | + | 1.90195i | ||||
\(729\) | 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 | 0.996957 | + | 0.0779588i | \(0.0248403\pi\) |
−0.934609 | + | 0.355676i | \(0.884251\pi\) | |||||||
\(734\) | 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 | −0.623879 | − | 0.781521i | \(-0.714444\pi\) |
0.378427 | − | 0.925631i | \(-0.376465\pi\) | |||||||
\(740\) | −3.37668 | + | 1.54208i | −0.124129 | + | 0.0566879i | ||||
\(741\) | −14.6572 | − | 4.30376i | −0.538447 | − | 0.158102i | ||||
\(742\) | −0.255143 | + | 1.48146i | −0.00936660 | + | 0.0543863i | ||||
\(743\) | 2.74294 | + | 2.37677i | 0.100629 | + | 0.0871952i | 0.703722 | − | 0.710475i | \(-0.251520\pi\) |
−0.603094 | + | 0.797670i | \(0.706065\pi\) | |||||||
\(744\) | 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 | ||||
\(749\) | −33.6289 | − | 22.9549i | −1.22877 | − | 0.838754i | ||||
\(750\) | 8.64181 | + | 29.4313i | 0.315554 | + | 1.07468i | ||||
\(751\) | 10.4135 | + | 1.49723i | 0.379993 | + | 0.0546347i | 0.329665 | − | 0.944098i | \(-0.393064\pi\) |
0.0503278 | + | 0.998733i | \(0.483973\pi\) | |||||||
\(752\) | 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 | ||||
\(756\) | 4.88709 | + | 11.5382i | 0.177742 | + | 0.419640i | ||||
\(757\) | −17.6822 | + | 27.5140i | −0.642669 | + | 1.00001i | 0.355201 | + | 0.934790i | \(0.384412\pi\) |
−0.997871 | + | 0.0652231i | \(0.979224\pi\) | |||||||
\(758\) | 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 | \(-0.667185\pi\) |
0.995316 | + | 0.0966757i | \(0.0308210\pi\) | |||||||
\(762\) | −34.1079 | + | 4.90398i | −1.23560 | + | 0.177652i | ||||
\(763\) | −33.2948 | − | 40.6506i | −1.20535 | − | 1.47165i | ||||
\(764\) | −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 | \(-0.157092\pi\) |
−0.594240 | + | 0.804288i | \(0.702547\pi\) | |||||||
\(770\) | −9.71968 | + | 10.6075i | −0.350273 | + | 0.382268i | ||||
\(771\) | −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 | \(-0.486406\pi\) |
0.576063 | + | 0.817405i | \(0.304588\pi\) | |||||||
\(774\) | 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 | ||||
\(777\) | −0.0277428 | + | 0.999454i | −0.000995268 | + | 0.0358552i | ||||
\(778\) | −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 | ||||||||
\(784\) | −62.6119 | − | 3.47864i | −2.23614 | − | 0.124237i | ||||
\(785\) | 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 | \(-0.669795\pi\) |
−0.893295 | + | 0.449470i | \(0.851613\pi\) | |||||||
\(788\) | 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 | ||||
\(791\) | −16.9869 | + | 10.2622i | −0.603985 | + | 0.364883i | ||||
\(792\) | −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 | 0.847801 | + | 0.530314i | \(0.177926\pi\) |
−0.962866 | + | 0.269979i | \(0.912983\pi\) | |||||||
\(798\) | 16.8051 | − | 34.2498i | 0.594895 | − | 1.21243i | ||||
\(799\) | −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 | ||||||||
\(805\) | −10.5264 | + | 24.1201i | −0.371007 | + | 0.850121i | ||||
\(806\) | 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 | 0.843852 | + | 0.536576i | \(0.180283\pi\) |
−0.147088 | + | 0.989123i | \(0.546990\pi\) | |||||||
\(810\) | −5.16498 | − | 1.51658i | −0.181479 | − | 0.0532870i | ||||
\(811\) | −22.5396 | − | 10.2935i | −0.791473 | − | 0.361454i | −0.0216944 | − | 0.999765i | \(-0.506906\pi\) |
−0.769779 | + | 0.638311i | \(0.779633\pi\) | |||||||
\(812\) | −5.53369 | − | 2.71517i | −0.194194 | − | 0.0952839i | ||||
\(813\) | −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 | ||||
\(819\) | −6.22660 | + | 3.76165i | −0.217575 | + | 0.131443i | ||||
\(820\) | −50.2288 | − | 7.22181i | −1.75407 | − | 0.252197i | ||||
\(821\) | 21.3374 | − | 24.6247i | 0.744680 | − | 0.859406i | −0.249361 | − | 0.968410i | \(-0.580221\pi\) |
0.994041 | + | 0.109004i | \(0.0347662\pi\) | |||||||
\(822\) | 4.61085 | − | 10.0964i | 0.160822 | − | 0.352151i | ||||
\(823\) | −43.3994 | − | 12.7432i | −1.51281 | − | 0.444200i | −0.583070 | − | 0.812422i | \(-0.698149\pi\) |
−0.929738 | + | 0.368222i | \(0.879967\pi\) | |||||||
\(824\) | −41.0563 | − | 89.9007i | −1.43026 | − | 3.13184i | ||||
\(825\) | 0.100382 | + | 0.698172i | 0.00349485 | + | 0.0243072i | ||||
\(826\) | −27.5583 | − | 8.92958i | −0.958875 | − | 0.310700i | ||||
\(827\) | − | 8.18535i | − | 0.284633i | −0.989821 | − | 0.142316i | \(-0.954545\pi\) | ||
0.989821 | − | 0.142316i | \(-0.0454550\pi\) | |||||||
\(828\) | −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 | ||||
\(833\) | 21.3219 | − | 4.99458i | 0.738761 | − | 0.173052i | ||||
\(834\) | 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 | \(-0.695871\pi\) |
0.502987 | + | 0.864294i | \(0.332234\pi\) | |||||||
\(840\) | 26.3258 | − | 28.7305i | 0.908327 | − | 0.991296i | ||||
\(841\) | 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 | ||||
\(847\) | 20.4264 | − | 16.7302i | 0.701860 | − | 0.574856i | ||||
\(848\) | 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 | 0.409060 | + | 0.912508i | \(0.365857\pi\) |
−0.999976 | + | 0.00697553i | \(0.997780\pi\) | |||||||
\(854\) | −57.8993 | + | 24.5237i | −1.98127 | + | 0.839183i | ||||
\(855\) | 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 | \(-0.565250\pi\) |
−0.873227 | + | 0.487313i | \(0.837977\pi\) | |||||||
\(858\) | −5.44810 | − | 4.72080i | −0.185995 | − | 0.161166i | ||||
\(859\) | 14.3908 | + | 2.06909i | 0.491009 | + | 0.0705965i | 0.383373 | − | 0.923594i | \(-0.374763\pi\) |
0.107637 | + | 0.994190i | \(0.465672\pi\) | |||||||
\(860\) | −23.9366 | − | 81.5207i | −0.816232 | − | 2.77983i | ||||
\(861\) | −7.70563 | + | 11.2887i | −0.262607 | + | 0.384719i | ||||
\(862\) | −41.5370 | − | 64.6328i | −1.41476 | − | 2.20140i | ||||
\(863\) | −9.47920 | + | 6.09191i | −0.322676 | + | 0.207371i | −0.691943 | − | 0.721952i | \(-0.743245\pi\) |
0.369267 | + | 0.929323i | \(0.379609\pi\) | |||||||
\(864\) | 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 | ||||
\(868\) | −14.3972 | + | 83.5962i | −0.488674 | + | 2.83744i | ||||
\(869\) | 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 | 0.903556 | + | 0.428470i | \(0.140947\pi\) |
−0.746242 | + | 0.665675i | \(0.768144\pi\) | |||||||
\(878\) | −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 | 0.0555526 | − | 0.998456i | \(-0.482308\pi\) |
0.980387 | − | 0.197082i | \(-0.0631466\pi\) | |||||||
\(882\) | −6.61880 | − | 16.9192i | −0.222867 | − | 0.569700i | ||||
\(883\) | 14.9672 | − | 4.39477i | 0.503687 | − | 0.147896i | −0.0200111 | − | 0.999800i | \(-0.506370\pi\) |
0.523698 | + | 0.851904i | \(0.324552\pi\) | |||||||
\(884\) | −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 | \(-0.619113\pi\) |
0.869303 | + | 0.494279i | \(0.164568\pi\) | |||||||
\(888\) | 2.57488 | − | 0.756053i | 0.0864073 | − | 0.0253715i | ||||
\(889\) | 34.8950 | − | 4.03243i | 1.17034 | − | 0.135243i | ||||
\(890\) | 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 | ||||
\(903\) | −22.5520 | − | 3.88399i | −0.750484 | − | 0.129251i | ||||
\(904\) | 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 | −0.477041 | − | 0.878881i | \(-0.658291\pi\) |
0.802046 | + | 0.597263i | \(0.203745\pi\) | |||||||
\(908\) | 48.7895 | − | 31.3551i | 1.61914 | − | 1.04056i | ||||
\(909\) | 8.00306 | + | 12.4530i | 0.265445 | + | 0.413040i | ||||
\(910\) | 32.3431 | + | 22.0772i | 1.07216 | + | 0.731853i | ||||
\(911\) | 0.319247 | + | 1.08726i | 0.0105771 | + | 0.0360224i | 0.964612 | − | 0.263672i | \(-0.0849336\pi\) |
−0.954035 | + | 0.299694i | \(0.903115\pi\) | |||||||
\(912\) | −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 | ||||
\(917\) | −17.5808 | − | 41.5075i | −0.580570 | − | 1.37070i | ||||
\(918\) | −4.38976 | + | 6.83060i | −0.144884 | + | 0.225443i | ||||
\(919\) | − | 1.08435i | − | 0.0357695i | −0.999840 | − | 0.0178848i | \(-0.994307\pi\) | ||
0.999840 | − | 0.0178848i | \(-0.00569320\pi\) | |||||||
\(920\) | 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 | ||||
\(924\) | 9.79268 | − | 8.02067i | 0.322156 | − | 0.263861i | ||||
\(925\) | 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 | 0.998133 | + | 0.0610728i | \(0.0194522\pi\) |
−0.806665 | + | 0.591009i | \(0.798730\pi\) | |||||||
\(930\) | −23.8639 | − | 27.5404i | −0.782527 | − | 0.903084i | ||||
\(931\) | −18.0933 | + | 34.4255i | −0.592985 | + | 1.12825i | ||||
\(932\) | 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 | 0.591621 | + | 0.806216i | \(0.298488\pi\) |
−0.996727 | + | 0.0808422i | \(0.974239\pi\) | |||||||
\(938\) | −64.5146 | − | 1.79079i | −2.10648 | − | 0.0584715i | ||||
\(939\) | 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 | \(-0.499323\pi\) |
−0.908747 | + | 0.417348i | \(0.862960\pi\) | |||||||
\(942\) | − | 23.6787i | − | 0.771494i | ||||||
\(943\) | −24.7505 | + | 1.10583i | −0.805988 | + | 0.0360108i | ||||
\(944\) | 37.7926i | 1.23004i | ||||||||
\(945\) | 5.22026 | + | 1.69150i | 0.169815 | + | 0.0550244i | ||||
\(946\) | −3.22728 | − | 22.4463i | −0.104928 | − | 0.729791i | ||||
\(947\) | −13.6006 | − | 29.7812i | −0.441961 | − | 0.967761i | −0.991234 | − | 0.132117i | \(-0.957822\pi\) |
0.549273 | − | 0.835643i | \(-0.314905\pi\) | |||||||
\(948\) | −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 | ||||
\(952\) | −30.3932 | − | 50.3094i | −0.985051 | − | 1.63054i | ||||
\(953\) | 25.7824 | − | 22.3406i | 0.835175 | − | 0.723684i | −0.128226 | − | 0.991745i | \(-0.540928\pi\) |
0.963402 | + | 0.268061i | \(0.0863830\pi\) | |||||||
\(954\) | 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 | ||||
\(959\) | −4.98408 | + | 10.1579i | −0.160944 | + | 0.328014i | ||||
\(960\) | −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 | ||||||||
\(966\) | 17.3337 | − | 28.0010i | 0.557701 | − | 0.900917i | ||||
\(967\) | 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 | \(-0.116412\pi\) |
0.592275 | + | 0.805736i | \(0.298230\pi\) | |||||||
\(972\) | 4.30810 | + | 1.96744i | 0.138182 | + | 0.0631057i | ||||
\(973\) | −1.94047 | + | 3.95480i | −0.0622088 | + | 0.126785i | ||||
\(974\) | −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 | 0.987050 | − | 0.160412i | \(-0.0512824\pi\) |
−0.555952 | + | 0.831215i | \(0.687646\pi\) | |||||||
\(978\) | −13.4941 | − | 20.9972i | −0.431493 | − | 0.671416i | ||||
\(979\) | 12.9734 | − | 11.2415i | 0.414633 | − | 0.359281i | ||||
\(980\) | −47.8421 | + | 49.3880i | −1.52826 | + | 1.57764i | ||||
\(981\) | −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 | \(-0.835518\pi\) |
0.942734 | + | 0.333545i | \(0.108245\pi\) | |||||||
\(984\) | 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 | ||||
\(987\) | 9.91239 | − | 30.5914i | 0.315515 | − | 0.973735i | ||||
\(988\) | − | 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 | 0.997413 | + | 0.0718813i | \(0.0229003\pi\) |
0.479726 | + | 0.877418i | \(0.340736\pi\) | |||||||
\(992\) | 60.6282 | − | 8.71702i | 1.92495 | − | 0.276766i | ||||
\(993\) | −11.2203 | + | 5.12412i | −0.356064 | + | 0.162609i | ||||
\(994\) | −1.99343 | + | 71.8148i | −0.0632278 | + | 2.27783i | ||||
\(995\) | 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 | \(-0.505489\pi\) |
−0.298236 | + | 0.954492i | \(0.596398\pi\) | |||||||
\(998\) | 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.412.2 | yes | 320 | |
7.6 | odd | 2 | inner | 483.2.r.a.412.1 | yes | 320 | |
23.11 | odd | 22 | inner | 483.2.r.a.34.1 | ✓ | 320 | |
161.34 | even | 22 | inner | 483.2.r.a.34.2 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.r.a.34.1 | ✓ | 320 | 23.11 | odd | 22 | inner | |
483.2.r.a.34.2 | yes | 320 | 161.34 | even | 22 | inner | |
483.2.r.a.412.1 | yes | 320 | 7.6 | odd | 2 | inner | |
483.2.r.a.412.2 | yes | 320 | 1.1 | even | 1 | trivial |