Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(4,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([21, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.y (of order \(28\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(768\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 4.13 | ||
Character | \(\chi\) | \(=\) | 731.4 |
Dual form | 731.2.y.a.183.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{2}{7}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.52642 | − | 1.21728i | −1.07934 | − | 0.860748i | −0.0885422 | − | 0.996072i | \(-0.528221\pi\) |
−0.990801 | + | 0.135325i | \(0.956792\pi\) | |||||||
\(3\) | −1.43515 | − | 0.161703i | −0.828587 | − | 0.0933593i | −0.312524 | − | 0.949910i | \(-0.601174\pi\) |
−0.516063 | + | 0.856551i | \(0.672603\pi\) | |||||||
\(4\) | 0.403150 | + | 1.76631i | 0.201575 | + | 0.883157i | ||||
\(5\) | −2.05291 | + | 0.718343i | −0.918087 | + | 0.321253i | −0.747632 | − | 0.664113i | \(-0.768809\pi\) |
−0.170455 | + | 0.985365i | \(0.554524\pi\) | |||||||
\(6\) | 1.99381 | + | 1.99381i | 0.813971 | + | 0.813971i | ||||
\(7\) | −0.0817540 | − | 0.0817540i | −0.0309001 | − | 0.0309001i | 0.691488 | − | 0.722388i | \(-0.256956\pi\) |
−0.722388 | + | 0.691488i | \(0.756956\pi\) | |||||||
\(8\) | −0.159477 | + | 0.331157i | −0.0563835 | + | 0.117082i | ||||
\(9\) | −0.891265 | − | 0.203425i | −0.297088 | − | 0.0678084i | ||||
\(10\) | 4.00802 | + | 1.40247i | 1.26745 | + | 0.443500i | ||||
\(11\) | −3.75022 | + | 2.35642i | −1.13074 | + | 0.710488i | −0.961423 | − | 0.275074i | \(-0.911298\pi\) |
−0.169312 | + | 0.985562i | \(0.554155\pi\) | |||||||
\(12\) | −0.292964 | − | 2.60012i | −0.0845713 | − | 0.750591i | ||||
\(13\) | −5.65812 | − | 2.72481i | −1.56928 | − | 0.755725i | −0.571392 | − | 0.820678i | \(-0.693596\pi\) |
−0.997888 | + | 0.0649522i | \(0.979311\pi\) | |||||||
\(14\) | 0.0252735 | + | 0.224309i | 0.00675463 | + | 0.0599490i | ||||
\(15\) | 3.06239 | − | 0.698971i | 0.790707 | − | 0.180474i | ||||
\(16\) | 3.91118 | − | 1.88352i | 0.977795 | − | 0.470881i | ||||
\(17\) | 3.58018 | + | 2.04507i | 0.868322 | + | 0.496002i | ||||
\(18\) | 1.11282 | + | 1.39543i | 0.262294 | + | 0.328907i | ||||
\(19\) | −4.42408 | + | 1.00977i | −1.01495 | + | 0.231656i | −0.697475 | − | 0.716609i | \(-0.745693\pi\) |
−0.317478 | + | 0.948266i | \(0.602836\pi\) | |||||||
\(20\) | −2.09645 | − | 3.33648i | −0.468780 | − | 0.746059i | ||||
\(21\) | 0.104110 | + | 0.130549i | 0.0227186 | + | 0.0284882i | ||||
\(22\) | 8.59286 | + | 0.968182i | 1.83200 | + | 0.206417i | ||||
\(23\) | 3.07621 | − | 1.93291i | 0.641434 | − | 0.403040i | −0.171673 | − | 0.985154i | \(-0.554917\pi\) |
0.813107 | + | 0.582114i | \(0.197774\pi\) | |||||||
\(24\) | 0.282422 | − | 0.449473i | 0.0576492 | − | 0.0917482i | ||||
\(25\) | −0.210754 | + | 0.168071i | −0.0421508 | + | 0.0336141i | ||||
\(26\) | 5.31982 | + | 11.0467i | 1.04330 | + | 2.16644i | ||||
\(27\) | 5.33578 | + | 1.86707i | 1.02687 | + | 0.359318i | ||||
\(28\) | 0.111444 | − | 0.177362i | 0.0210610 | − | 0.0335183i | ||||
\(29\) | 0.471021 | + | 4.18042i | 0.0874663 | + | 0.776285i | 0.958506 | + | 0.285072i | \(0.0920177\pi\) |
−0.871040 | + | 0.491213i | \(0.836554\pi\) | |||||||
\(30\) | −5.52535 | − | 2.66087i | −1.00879 | − | 0.485806i | ||||
\(31\) | −0.170640 | − | 1.51447i | −0.0306478 | − | 0.272007i | −0.999685 | − | 0.0250926i | \(-0.992012\pi\) |
0.969037 | − | 0.246914i | \(-0.0794166\pi\) | |||||||
\(32\) | −7.54621 | − | 1.72237i | −1.33399 | − | 0.304475i | ||||
\(33\) | 5.76319 | − | 2.77541i | 1.00324 | − | 0.483136i | ||||
\(34\) | −2.97545 | − | 7.47972i | −0.510285 | − | 1.28276i | ||||
\(35\) | 0.226560 | + | 0.109106i | 0.0382957 | + | 0.0184422i | ||||
\(36\) | − | 1.65626i | − | 0.276044i | ||||||
\(37\) | 1.30848 | − | 1.30848i | 0.215114 | − | 0.215114i | −0.591322 | − | 0.806436i | \(-0.701394\pi\) |
0.806436 | + | 0.591322i | \(0.201394\pi\) | |||||||
\(38\) | 7.98218 | + | 3.84402i | 1.29488 | + | 0.623582i | ||||
\(39\) | 7.67966 | + | 4.82545i | 1.22973 | + | 0.772691i | ||||
\(40\) | 0.0895065 | − | 0.794392i | 0.0141522 | − | 0.125604i | ||||
\(41\) | −1.73422 | + | 0.195400i | −0.270840 | + | 0.0305163i | −0.246340 | − | 0.969184i | \(-0.579228\pi\) |
−0.0244998 | + | 0.999700i | \(0.507799\pi\) | |||||||
\(42\) | − | 0.326004i | − | 0.0503035i | ||||||
\(43\) | 3.52428 | − | 5.52987i | 0.537447 | − | 0.843297i | ||||
\(44\) | −5.67408 | − | 5.67408i | −0.855400 | − | 0.855400i | ||||
\(45\) | 1.97581 | − | 0.222620i | 0.294536 | − | 0.0331863i | ||||
\(46\) | −7.04849 | − | 0.794174i | −1.03924 | − | 0.117095i | ||||
\(47\) | 0.812666 | + | 3.56052i | 0.118539 | + | 0.519355i | 0.998978 | + | 0.0451954i | \(0.0143910\pi\) |
−0.880439 | + | 0.474160i | \(0.842752\pi\) | |||||||
\(48\) | −5.91772 | + | 2.07070i | −0.854149 | + | 0.298880i | ||||
\(49\) | − | 6.98663i | − | 0.998090i | ||||||
\(50\) | 0.526289 | 0.0744285 | ||||||||
\(51\) | −4.80742 | − | 3.51391i | −0.673173 | − | 0.492046i | ||||
\(52\) | 2.53180 | − | 11.0925i | 0.351097 | − | 1.53826i | ||||
\(53\) | −0.269966 | − | 0.560591i | −0.0370827 | − | 0.0770031i | 0.881604 | − | 0.471989i | \(-0.156464\pi\) |
−0.918687 | + | 0.394986i | \(0.870749\pi\) | |||||||
\(54\) | −5.87190 | − | 9.34507i | −0.799064 | − | 1.27170i | ||||
\(55\) | 6.00614 | − | 7.53146i | 0.809867 | − | 1.01554i | ||||
\(56\) | 0.0401112 | − | 0.0140355i | 0.00536008 | − | 0.00187557i | ||||
\(57\) | 6.51251 | − | 0.733784i | 0.862604 | − | 0.0971921i | ||||
\(58\) | 4.36977 | − | 6.95446i | 0.573780 | − | 0.913165i | ||||
\(59\) | −5.67042 | − | 11.7748i | −0.738226 | − | 1.53294i | −0.842681 | − | 0.538413i | \(-0.819024\pi\) |
0.104455 | − | 0.994530i | \(-0.466690\pi\) | |||||||
\(60\) | 2.46921 | + | 5.12736i | 0.318773 | + | 0.661939i | ||||
\(61\) | 0.428380 | − | 3.80198i | 0.0548484 | − | 0.486793i | −0.936019 | − | 0.351951i | \(-0.885519\pi\) |
0.990867 | − | 0.134843i | \(-0.0430529\pi\) | |||||||
\(62\) | −1.58307 | + | 2.51944i | −0.201050 | + | 0.319969i | ||||
\(63\) | 0.0562336 | + | 0.0894952i | 0.00708477 | + | 0.0112753i | ||||
\(64\) | 4.00885 | + | 5.02694i | 0.501106 | + | 0.628367i | ||||
\(65\) | 13.5729 | + | 1.52930i | 1.68351 | + | 0.189687i | ||||
\(66\) | −12.1755 | − | 2.77898i | −1.49870 | − | 0.342069i | ||||
\(67\) | 2.24409 | + | 9.83202i | 0.274160 | + | 1.20117i | 0.905052 | + | 0.425302i | \(0.139832\pi\) |
−0.630892 | + | 0.775871i | \(0.717311\pi\) | |||||||
\(68\) | −2.16888 | + | 7.14819i | −0.263016 | + | 0.866846i | ||||
\(69\) | −4.72739 | + | 2.27659i | −0.569111 | + | 0.274069i | ||||
\(70\) | −0.213015 | − | 0.442329i | −0.0254601 | − | 0.0528685i | ||||
\(71\) | 6.91547 | + | 4.34528i | 0.820715 | + | 0.515689i | 0.875733 | − | 0.482796i | \(-0.160379\pi\) |
−0.0550180 | + | 0.998485i | \(0.517522\pi\) | |||||||
\(72\) | 0.209501 | − | 0.262707i | 0.0246900 | − | 0.0309603i | ||||
\(73\) | −0.529334 | + | 0.185222i | −0.0619539 | + | 0.0216786i | −0.361078 | − | 0.932536i | \(-0.617591\pi\) |
0.299124 | + | 0.954214i | \(0.403306\pi\) | |||||||
\(74\) | −3.59009 | + | 0.404506i | −0.417340 | + | 0.0470229i | ||||
\(75\) | 0.329642 | − | 0.207128i | 0.0380638 | − | 0.0239171i | ||||
\(76\) | −3.56713 | − | 7.40722i | −0.409178 | − | 0.849667i | ||||
\(77\) | 0.499243 | + | 0.113949i | 0.0568940 | + | 0.0129857i | ||||
\(78\) | −5.84848 | − | 16.7140i | −0.662210 | − | 1.89249i | ||||
\(79\) | −7.52817 | − | 7.52817i | −0.846985 | − | 0.846985i | 0.142771 | − | 0.989756i | \(-0.454399\pi\) |
−0.989756 | + | 0.142771i | \(0.954399\pi\) | |||||||
\(80\) | −6.67626 | + | 6.67626i | −0.746429 | + | 0.746429i | ||||
\(81\) | −4.88479 | − | 2.35239i | −0.542755 | − | 0.261377i | ||||
\(82\) | 2.88501 | + | 1.81277i | 0.318596 | + | 0.200187i | ||||
\(83\) | 0.269825 | − | 0.215178i | 0.0296171 | − | 0.0236189i | −0.608569 | − | 0.793501i | \(-0.708256\pi\) |
0.638187 | + | 0.769882i | \(0.279685\pi\) | |||||||
\(84\) | −0.188619 | + | 0.236521i | −0.0205801 | + | 0.0258066i | ||||
\(85\) | −8.81883 | − | 1.62653i | −0.956537 | − | 0.176422i | ||||
\(86\) | −12.1109 | + | 4.15088i | −1.30596 | + | 0.447601i | ||||
\(87\) | − | 6.07572i | − | 0.651385i | ||||||
\(88\) | −0.182272 | − | 1.61771i | −0.0194302 | − | 0.172448i | ||||
\(89\) | 0.984617 | + | 1.23467i | 0.104369 | + | 0.130875i | 0.831273 | − | 0.555865i | \(-0.187613\pi\) |
−0.726904 | + | 0.686740i | \(0.759041\pi\) | |||||||
\(90\) | −3.28691 | − | 2.06530i | −0.346471 | − | 0.217702i | ||||
\(91\) | 0.239810 | + | 0.685337i | 0.0251389 | + | 0.0718429i | ||||
\(92\) | 4.65430 | + | 4.65430i | 0.485244 | + | 0.485244i | ||||
\(93\) | 2.20109i | 0.228243i | ||||||||
\(94\) | 3.09368 | − | 6.42410i | 0.319089 | − | 0.662595i | ||||
\(95\) | 8.35685 | − | 5.25096i | 0.857395 | − | 0.538737i | ||||
\(96\) | 10.5515 | + | 3.69211i | 1.07690 | + | 0.376825i | ||||
\(97\) | −0.528864 | − | 0.841682i | −0.0536980 | − | 0.0854598i | 0.818796 | − | 0.574084i | \(-0.194642\pi\) |
−0.872494 | + | 0.488624i | \(0.837499\pi\) | |||||||
\(98\) | −8.50470 | + | 10.6646i | −0.859104 | + | 1.07728i | ||||
\(99\) | 3.82180 | − | 1.33731i | 0.384105 | − | 0.134404i | ||||
\(100\) | −0.381831 | − | 0.304500i | −0.0381831 | − | 0.0304500i | ||||
\(101\) | 1.91201 | + | 8.37706i | 0.190252 | + | 0.833548i | 0.976479 | + | 0.215611i | \(0.0691743\pi\) |
−0.786227 | + | 0.617937i | \(0.787969\pi\) | |||||||
\(102\) | 3.06073 | + | 11.2157i | 0.303058 | + | 1.11052i | ||||
\(103\) | 9.96088 | − | 4.79691i | 0.981474 | − | 0.472653i | 0.126862 | − | 0.991920i | \(-0.459509\pi\) |
0.854612 | + | 0.519267i | \(0.173795\pi\) | |||||||
\(104\) | 1.80468 | − | 1.43918i | 0.176963 | − | 0.141123i | ||||
\(105\) | −0.307506 | − | 0.193219i | −0.0300096 | − | 0.0188563i | ||||
\(106\) | −0.270314 | + | 1.18432i | −0.0262552 | + | 0.115032i | ||||
\(107\) | −12.5447 | − | 1.41345i | −1.21275 | − | 0.136644i | −0.517670 | − | 0.855580i | \(-0.673200\pi\) |
−0.695075 | + | 0.718937i | \(0.744629\pi\) | |||||||
\(108\) | −1.14671 | + | 10.1774i | −0.110343 | + | 0.979317i | ||||
\(109\) | −0.0991107 | + | 0.0622754i | −0.00949308 | + | 0.00596490i | −0.536770 | − | 0.843728i | \(-0.680356\pi\) |
0.527277 | + | 0.849693i | \(0.323213\pi\) | |||||||
\(110\) | −18.3358 | + | 4.18503i | −1.74825 | + | 0.399027i | ||||
\(111\) | −2.08946 | + | 1.66629i | −0.198323 | + | 0.158157i | ||||
\(112\) | −0.473740 | − | 0.165769i | −0.0447642 | − | 0.0156637i | ||||
\(113\) | 13.2196 | + | 4.62573i | 1.24359 | + | 0.435152i | 0.870282 | − | 0.492554i | \(-0.163937\pi\) |
0.373312 | + | 0.927706i | \(0.378222\pi\) | |||||||
\(114\) | −10.8341 | − | 6.80750i | −1.01470 | − | 0.637580i | ||||
\(115\) | −4.92667 | + | 6.17785i | −0.459415 | + | 0.576088i | ||||
\(116\) | −7.19405 | + | 2.51731i | −0.667951 | + | 0.233726i | ||||
\(117\) | 4.48859 | + | 3.57953i | 0.414970 | + | 0.330928i | ||||
\(118\) | −5.67773 | + | 24.8757i | −0.522677 | + | 2.29000i | ||||
\(119\) | −0.125502 | − | 0.459886i | −0.0115047 | − | 0.0421577i | ||||
\(120\) | −0.256911 | + | 1.12560i | −0.0234527 | + | 0.102753i | ||||
\(121\) | 3.73874 | − | 7.76357i | 0.339885 | − | 0.705779i | ||||
\(122\) | −5.28196 | + | 5.28196i | −0.478206 | + | 0.478206i | ||||
\(123\) | 2.52047 | 0.227263 | ||||||||
\(124\) | 2.60624 | − | 0.911962i | 0.234047 | − | 0.0818966i | ||||
\(125\) | 6.09766 | − | 9.70437i | 0.545391 | − | 0.867985i | ||||
\(126\) | 0.0231047 | − | 0.205060i | 0.00205833 | − | 0.0182682i | ||||
\(127\) | 6.90627 | + | 5.50757i | 0.612833 | + | 0.488718i | 0.880026 | − | 0.474925i | \(-0.157525\pi\) |
−0.267194 | + | 0.963643i | \(0.586096\pi\) | |||||||
\(128\) | 2.92742i | 0.258750i | ||||||||
\(129\) | −5.95208 | + | 7.36633i | −0.524051 | + | 0.648569i | ||||
\(130\) | −18.8564 | − | 18.8564i | −1.65382 | − | 1.65382i | ||||
\(131\) | −0.619267 | − | 5.49615i | −0.0541056 | − | 0.480201i | −0.991322 | − | 0.131453i | \(-0.958036\pi\) |
0.937217 | − | 0.348747i | \(-0.113393\pi\) | |||||||
\(132\) | 7.22567 | + | 9.06070i | 0.628914 | + | 0.788633i | ||||
\(133\) | 0.444238 | + | 0.279133i | 0.0385203 | + | 0.0242039i | ||||
\(134\) | 8.54290 | − | 17.7395i | 0.737994 | − | 1.53246i | ||||
\(135\) | −12.2950 | −1.05819 | ||||||||
\(136\) | −1.24819 | + | 0.859460i | −0.107032 | + | 0.0736981i | ||||
\(137\) | 11.7941 | + | 5.67972i | 1.00763 | + | 0.485251i | 0.863522 | − | 0.504310i | \(-0.168253\pi\) |
0.144112 | + | 0.989561i | \(0.453968\pi\) | |||||||
\(138\) | 9.98725 | + | 2.27952i | 0.850171 | + | 0.194046i | ||||
\(139\) | 5.02167 | − | 14.3511i | 0.425932 | − | 1.21724i | −0.508487 | − | 0.861070i | \(-0.669795\pi\) |
0.934419 | − | 0.356175i | \(-0.115919\pi\) | |||||||
\(140\) | −0.101377 | + | 0.444163i | −0.00856795 | + | 0.0375386i | ||||
\(141\) | −0.590553 | − | 5.24131i | −0.0497336 | − | 0.441398i | ||||
\(142\) | −5.26650 | − | 15.0508i | −0.441955 | − | 1.26303i | ||||
\(143\) | 27.6400 | − | 3.11428i | 2.31137 | − | 0.260429i | ||||
\(144\) | −3.86905 | + | 0.883086i | −0.322421 | + | 0.0735905i | ||||
\(145\) | −3.96994 | − | 8.24366i | −0.329685 | − | 0.684599i | ||||
\(146\) | 1.03345 | + | 0.361621i | 0.0855293 | + | 0.0299280i | ||||
\(147\) | −1.12976 | + | 10.0269i | −0.0931810 | + | 0.827004i | ||||
\(148\) | 2.83871 | + | 1.78368i | 0.233341 | + | 0.146618i | ||||
\(149\) | −4.42861 | + | 19.4030i | −0.362806 | + | 1.58956i | 0.383232 | + | 0.923652i | \(0.374811\pi\) |
−0.746037 | + | 0.665904i | \(0.768046\pi\) | |||||||
\(150\) | −0.755306 | − | 0.0851025i | −0.0616704 | − | 0.00694859i | ||||
\(151\) | −10.9692 | + | 8.74768i | −0.892665 | + | 0.711876i | −0.958238 | − | 0.285971i | \(-0.907684\pi\) |
0.0655735 | + | 0.997848i | \(0.479112\pi\) | |||||||
\(152\) | 0.371146 | − | 1.62610i | 0.0301039 | − | 0.131894i | ||||
\(153\) | −2.77487 | − | 2.55100i | −0.224335 | − | 0.206236i | ||||
\(154\) | −0.623347 | − | 0.781653i | −0.0502307 | − | 0.0629874i | ||||
\(155\) | 1.43822 | + | 2.98649i | 0.115520 | + | 0.239880i | ||||
\(156\) | −5.42721 | + | 15.5101i | −0.434525 | + | 1.24180i | ||||
\(157\) | 2.82782 | + | 12.3895i | 0.225685 | + | 0.988790i | 0.953115 | + | 0.302608i | \(0.0978574\pi\) |
−0.727430 | + | 0.686182i | \(0.759285\pi\) | |||||||
\(158\) | 2.32727 | + | 20.6551i | 0.185147 | + | 1.64323i | ||||
\(159\) | 0.296794 | + | 0.848189i | 0.0235373 | + | 0.0672657i | ||||
\(160\) | 16.7289 | − | 1.88489i | 1.32254 | − | 0.149014i | ||||
\(161\) | −0.409515 | − | 0.0934692i | −0.0322743 | − | 0.00736640i | ||||
\(162\) | 4.59273 | + | 9.53691i | 0.360839 | + | 0.749290i | ||||
\(163\) | 3.44914 | − | 2.16724i | 0.270157 | − | 0.169751i | −0.390140 | − | 0.920756i | \(-0.627573\pi\) |
0.660297 | + | 0.751005i | \(0.270430\pi\) | |||||||
\(164\) | −1.04429 | − | 2.98440i | −0.0815451 | − | 0.233043i | ||||
\(165\) | −9.83759 | + | 9.83759i | −0.765855 | + | 0.765855i | ||||
\(166\) | −0.673799 | −0.0522970 | ||||||||
\(167\) | 7.55014 | − | 2.64191i | 0.584247 | − | 0.204437i | −0.0219396 | − | 0.999759i | \(-0.506984\pi\) |
0.606187 | + | 0.795322i | \(0.292698\pi\) | |||||||
\(168\) | −0.0598353 | + | 0.0136570i | −0.00461640 | + | 0.00105366i | ||||
\(169\) | 16.4844 | + | 20.6708i | 1.26803 | + | 1.59006i | ||||
\(170\) | 11.4813 | + | 13.2178i | 0.880577 | + | 1.01376i | ||||
\(171\) | 4.14844 | 0.317239 | ||||||||
\(172\) | 11.1883 | + | 3.99562i | 0.853100 | + | 0.304663i | ||||
\(173\) | −5.91364 | + | 5.91364i | −0.449606 | + | 0.449606i | −0.895223 | − | 0.445618i | \(-0.852984\pi\) |
0.445618 | + | 0.895223i | \(0.352984\pi\) | |||||||
\(174\) | −7.39586 | + | 9.27411i | −0.560678 | + | 0.703068i | ||||
\(175\) | 0.0309704 | + | 0.00348953i | 0.00234114 | + | 0.000263784i | ||||
\(176\) | −10.2294 | + | 16.2800i | −0.771072 | + | 1.22715i | ||||
\(177\) | 6.23392 | + | 17.8155i | 0.468570 | + | 1.33910i | ||||
\(178\) | − | 3.08318i | − | 0.231094i | ||||||
\(179\) | 11.5740i | 0.865082i | 0.901614 | + | 0.432541i | \(0.142383\pi\) | ||||
−0.901614 | + | 0.432541i | \(0.857617\pi\) | |||||||
\(180\) | 1.18977 | + | 3.40015i | 0.0886799 | + | 0.253432i | ||||
\(181\) | 3.06068 | − | 1.92315i | 0.227498 | − | 0.142947i | −0.413460 | − | 0.910522i | \(-0.635680\pi\) |
0.640959 | + | 0.767575i | \(0.278537\pi\) | |||||||
\(182\) | 0.468197 | − | 1.33803i | 0.0347051 | − | 0.0991814i | ||||
\(183\) | −1.22958 | + | 5.38715i | −0.0908933 | + | 0.398230i | ||||
\(184\) | 0.149513 | + | 1.32696i | 0.0110222 | + | 0.0978248i | ||||
\(185\) | −1.74625 | + | 3.62613i | −0.128387 | + | 0.266599i | ||||
\(186\) | 2.67935 | − | 3.35980i | 0.196459 | − | 0.246352i | ||||
\(187\) | −18.2455 | + | 0.766959i | −1.33425 | + | 0.0560856i | ||||
\(188\) | −5.96137 | + | 2.87085i | −0.434778 | + | 0.209378i | ||||
\(189\) | −0.283581 | − | 0.588861i | −0.0206274 | − | 0.0428333i | ||||
\(190\) | −19.1480 | − | 2.15746i | −1.38914 | − | 0.156519i | ||||
\(191\) | 0.389209 | + | 1.70524i | 0.0281622 | + | 0.123387i | 0.987055 | − | 0.160382i | \(-0.0512725\pi\) |
−0.958893 | + | 0.283768i | \(0.908415\pi\) | |||||||
\(192\) | −4.94044 | − | 7.86267i | −0.356546 | − | 0.567439i | ||||
\(193\) | 1.50378 | − | 13.3464i | 0.108245 | − | 0.960698i | −0.815779 | − | 0.578364i | \(-0.803692\pi\) |
0.924024 | − | 0.382335i | \(-0.124880\pi\) | |||||||
\(194\) | −0.217294 | + | 1.92854i | −0.0156008 | + | 0.138461i | ||||
\(195\) | −19.2319 | − | 4.38957i | −1.37723 | − | 0.314343i | ||||
\(196\) | 12.3406 | − | 2.81666i | 0.881471 | − | 0.201190i | ||||
\(197\) | −1.49025 | + | 13.2264i | −0.106176 | + | 0.942339i | 0.821819 | + | 0.569748i | \(0.192959\pi\) |
−0.927996 | + | 0.372591i | \(0.878469\pi\) | |||||||
\(198\) | −7.46156 | − | 2.61091i | −0.530270 | − | 0.185549i | ||||
\(199\) | −5.22534 | + | 14.9332i | −0.370415 | + | 1.05858i | 0.596308 | + | 0.802756i | \(0.296634\pi\) |
−0.966722 | + | 0.255828i | \(0.917652\pi\) | |||||||
\(200\) | −0.0220474 | − | 0.0965959i | −0.00155899 | − | 0.00683036i | ||||
\(201\) | −1.63075 | − | 14.4733i | −0.115025 | − | 1.02087i | ||||
\(202\) | 7.27870 | − | 15.1144i | 0.512128 | − | 1.06344i | ||||
\(203\) | 0.303258 | − | 0.380274i | 0.0212846 | − | 0.0266900i | ||||
\(204\) | 4.26856 | − | 9.90804i | 0.298859 | − | 0.693702i | ||||
\(205\) | 3.41982 | − | 1.64690i | 0.238851 | − | 0.115024i | ||||
\(206\) | −21.0437 | − | 4.80308i | −1.46618 | − | 0.334647i | ||||
\(207\) | −3.13492 | + | 1.09696i | −0.217892 | + | 0.0762437i | ||||
\(208\) | −27.2622 | −1.89029 | ||||||||
\(209\) | 14.2118 | − | 14.2118i | 0.983054 | − | 0.983054i | ||||
\(210\) | 0.234183 | + | 0.669256i | 0.0161601 | + | 0.0461830i | ||||
\(211\) | 11.0941 | − | 17.6562i | 0.763752 | − | 1.21550i | −0.207682 | − | 0.978196i | \(-0.566592\pi\) |
0.971434 | − | 0.237308i | \(-0.0762651\pi\) | |||||||
\(212\) | 0.881343 | − | 0.702847i | 0.0605309 | − | 0.0482718i | ||||
\(213\) | −9.22211 | − | 7.35439i | −0.631889 | − | 0.503915i | ||||
\(214\) | 17.4280 | + | 17.4280i | 1.19135 | + | 1.19135i | ||||
\(215\) | −3.26267 | + | 13.8839i | −0.222512 | + | 0.946877i | ||||
\(216\) | −1.46922 | + | 1.46922i | −0.0999680 | + | 0.0999680i | ||||
\(217\) | −0.109864 | + | 0.137764i | −0.00745802 | + | 0.00935206i | ||||
\(218\) | 0.227091 | + | 0.0255871i | 0.0153806 | + | 0.00173297i | ||||
\(219\) | 0.789627 | − | 0.180227i | 0.0533580 | − | 0.0121786i | ||||
\(220\) | 15.7243 | + | 7.57242i | 1.06013 | + | 0.510532i | ||||
\(221\) | −14.6847 | − | 21.3265i | −0.987799 | − | 1.43458i | ||||
\(222\) | 5.21775 | 0.350192 | ||||||||
\(223\) | −2.56300 | + | 5.32213i | −0.171631 | + | 0.356396i | −0.968986 | − | 0.247115i | \(-0.920518\pi\) |
0.797355 | + | 0.603511i | \(0.206232\pi\) | |||||||
\(224\) | 0.476122 | + | 0.757743i | 0.0318122 | + | 0.0506288i | ||||
\(225\) | 0.222027 | − | 0.106923i | 0.0148018 | − | 0.00712818i | ||||
\(226\) | −14.5478 | − | 23.1528i | −0.967708 | − | 1.54010i | ||||
\(227\) | 1.91282 | − | 0.215524i | 0.126959 | − | 0.0143048i | −0.0482565 | − | 0.998835i | \(-0.515366\pi\) |
0.175215 | + | 0.984530i | \(0.443938\pi\) | |||||||
\(228\) | 3.92161 | + | 11.2073i | 0.259715 | + | 0.742223i | ||||
\(229\) | 16.0315 | + | 12.7847i | 1.05939 | + | 0.844837i | 0.988283 | − | 0.152632i | \(-0.0487749\pi\) |
0.0711085 | + | 0.997469i | \(0.477346\pi\) | |||||||
\(230\) | 15.0404 | − | 3.43287i | 0.991732 | − | 0.226356i | ||||
\(231\) | −0.698064 | − | 0.244263i | −0.0459292 | − | 0.0160713i | ||||
\(232\) | −1.45949 | − | 0.510698i | −0.0958203 | − | 0.0335290i | ||||
\(233\) | 15.9398 | + | 1.79599i | 1.04425 | + | 0.117659i | 0.617390 | − | 0.786657i | \(-0.288190\pi\) |
0.426863 | + | 0.904316i | \(0.359619\pi\) | |||||||
\(234\) | −2.49419 | − | 10.9277i | −0.163050 | − | 0.714369i | ||||
\(235\) | −4.22600 | − | 6.72564i | −0.275674 | − | 0.438732i | ||||
\(236\) | 18.5119 | − | 14.7627i | 1.20502 | − | 0.960972i | ||||
\(237\) | 9.58676 | + | 12.0214i | 0.622727 | + | 0.780875i | ||||
\(238\) | −0.368242 | + | 0.854752i | −0.0238696 | + | 0.0554053i | ||||
\(239\) | −5.59198 | − | 24.5001i | −0.361715 | − | 1.58478i | −0.748841 | − | 0.662750i | \(-0.769389\pi\) |
0.387126 | − | 0.922027i | \(-0.373468\pi\) | |||||||
\(240\) | 10.6610 | − | 8.50189i | 0.688167 | − | 0.548795i | ||||
\(241\) | −6.17728 | + | 17.6537i | −0.397914 | + | 1.13717i | 0.554452 | + | 0.832216i | \(0.312928\pi\) |
−0.952366 | + | 0.304957i | \(0.901358\pi\) | |||||||
\(242\) | −15.1573 | + | 7.29939i | −0.974351 | + | 0.469223i | ||||
\(243\) | −7.72956 | − | 4.85681i | −0.495852 | − | 0.311564i | ||||
\(244\) | 6.88819 | − | 0.776112i | 0.440971 | − | 0.0496855i | ||||
\(245\) | 5.01880 | + | 14.3429i | 0.320639 | + | 0.916334i | ||||
\(246\) | −3.84730 | − | 3.06812i | −0.245295 | − | 0.195616i | ||||
\(247\) | 27.7834 | + | 6.34137i | 1.76781 | + | 0.403492i | ||||
\(248\) | 0.528740 | + | 0.185014i | 0.0335750 | + | 0.0117484i | ||||
\(249\) | −0.422035 | + | 0.265182i | −0.0267454 | + | 0.0168052i | ||||
\(250\) | −21.1205 | + | 7.39040i | −1.33578 | + | 0.467410i | ||||
\(251\) | −28.3448 | −1.78911 | −0.894554 | − | 0.446960i | \(-0.852507\pi\) | ||||
−0.894554 | + | 0.446960i | \(0.852507\pi\) | |||||||
\(252\) | −0.135406 | + | 0.135406i | −0.00852979 | + | 0.00852979i | ||||
\(253\) | −6.98172 | + | 14.4977i | −0.438937 | + | 0.911462i | ||||
\(254\) | −3.83763 | − | 16.8137i | −0.240794 | − | 1.05499i | ||||
\(255\) | 12.3934 | + | 3.76036i | 0.776103 | + | 0.235483i | ||||
\(256\) | 11.5812 | − | 14.5224i | 0.723824 | − | 0.907647i | ||||
\(257\) | 3.05299i | 0.190440i | 0.995456 | + | 0.0952200i | \(0.0303555\pi\) | ||||
−0.995456 | + | 0.0952200i | \(0.969645\pi\) | |||||||
\(258\) | 18.0523 | − | 3.99878i | 1.12389 | − | 0.248953i | ||||
\(259\) | −0.213948 | −0.0132941 | ||||||||
\(260\) | 2.77069 | + | 24.5906i | 0.171831 | + | 1.52504i | ||||
\(261\) | 0.430600 | − | 3.82168i | 0.0266535 | − | 0.236556i | ||||
\(262\) | −5.74509 | + | 9.14326i | −0.354933 | + | 0.564873i | ||||
\(263\) | 8.27145 | − | 17.1758i | 0.510039 | − | 1.05911i | −0.473896 | − | 0.880581i | \(-0.657153\pi\) |
0.983935 | − | 0.178527i | \(-0.0571330\pi\) | |||||||
\(264\) | 2.35113i | 0.144702i | ||||||||
\(265\) | 0.956912 | + | 0.956912i | 0.0587826 | + | 0.0587826i | ||||
\(266\) | −0.338311 | − | 0.966838i | −0.0207432 | − | 0.0592807i | ||||
\(267\) | −1.21343 | − | 1.93116i | −0.0742605 | − | 0.118185i | ||||
\(268\) | −16.4617 | + | 7.92755i | −1.00556 | + | 0.484252i | ||||
\(269\) | −3.87051 | − | 6.15988i | −0.235989 | − | 0.375575i | 0.707643 | − | 0.706570i | \(-0.249758\pi\) |
−0.943632 | + | 0.330995i | \(0.892616\pi\) | |||||||
\(270\) | 18.7674 | + | 14.9665i | 1.14215 | + | 0.910833i | ||||
\(271\) | −9.62855 | − | 4.63687i | −0.584893 | − | 0.281669i | 0.117945 | − | 0.993020i | \(-0.462370\pi\) |
−0.702837 | + | 0.711351i | \(0.748084\pi\) | |||||||
\(272\) | 17.8547 | + | 1.25526i | 1.08260 | + | 0.0761115i | ||||
\(273\) | −0.233343 | − | 1.02234i | −0.0141226 | − | 0.0618750i | ||||
\(274\) | −11.0889 | − | 23.0263i | −0.669905 | − | 1.39107i | ||||
\(275\) | 0.394329 | − | 1.12693i | 0.0237789 | − | 0.0679563i | ||||
\(276\) | −5.92702 | − | 7.43225i | −0.356765 | − | 0.447369i | ||||
\(277\) | 13.2967 | + | 8.35488i | 0.798922 | + | 0.501996i | 0.868565 | − | 0.495576i | \(-0.165043\pi\) |
−0.0696427 | + | 0.997572i | \(0.522186\pi\) | |||||||
\(278\) | −25.1345 | + | 15.7931i | −1.50747 | + | 0.947205i | ||||
\(279\) | −0.155996 | + | 1.38451i | −0.00933927 | + | 0.0828883i | ||||
\(280\) | −0.0722622 | + | 0.0576272i | −0.00431849 | + | 0.00344388i | ||||
\(281\) | −16.9309 | − | 3.86436i | −1.01001 | − | 0.230529i | −0.314665 | − | 0.949203i | \(-0.601892\pi\) |
−0.695347 | + | 0.718674i | \(0.744749\pi\) | |||||||
\(282\) | −5.47871 | + | 8.71932i | −0.326252 | + | 0.519228i | ||||
\(283\) | 3.53284 | − | 31.3548i | 0.210005 | − | 1.86385i | −0.239934 | − | 0.970789i | \(-0.577126\pi\) |
0.449939 | − | 0.893059i | \(-0.351446\pi\) | |||||||
\(284\) | −4.88715 | + | 13.9667i | −0.289999 | + | 0.828770i | ||||
\(285\) | −12.8425 | + | 6.18461i | −0.760722 | + | 0.366344i | ||||
\(286\) | −45.9813 | − | 28.8920i | −2.71893 | − | 1.70842i | ||||
\(287\) | 0.157754 | + | 0.125805i | 0.00931192 | + | 0.00742601i | ||||
\(288\) | 6.37529 | + | 3.07018i | 0.375668 | + | 0.180912i | ||||
\(289\) | 8.63540 | + | 14.6434i | 0.507965 | + | 0.861378i | ||||
\(290\) | −3.97505 | + | 17.4158i | −0.233423 | + | 1.02269i | ||||
\(291\) | 0.622898 | + | 1.29346i | 0.0365149 | + | 0.0758241i | ||||
\(292\) | −0.540561 | − | 0.860298i | −0.0316339 | − | 0.0503451i | ||||
\(293\) | 17.3657 | + | 8.36286i | 1.01451 | + | 0.488563i | 0.865839 | − | 0.500323i | \(-0.166785\pi\) |
0.148673 | + | 0.988886i | \(0.452500\pi\) | |||||||
\(294\) | 13.9300 | − | 13.9300i | 0.812416 | − | 0.812416i | ||||
\(295\) | 20.0991 | + | 20.0991i | 1.17022 | + | 1.17022i | ||||
\(296\) | 0.224641 | + | 0.641986i | 0.0130570 | + | 0.0373147i | ||||
\(297\) | −24.4100 | + | 5.57141i | −1.41641 | + | 0.323286i | ||||
\(298\) | 30.3788 | − | 24.2263i | 1.75980 | − | 1.40339i | ||||
\(299\) | −22.6724 | + | 2.55456i | −1.31118 | + | 0.147734i | ||||
\(300\) | 0.498748 | + | 0.498748i | 0.0287952 | + | 0.0287952i | ||||
\(301\) | −0.740212 | + | 0.163965i | −0.0426651 | + | 0.00945079i | ||||
\(302\) | 27.3921 | 1.57624 | ||||||||
\(303\) | −1.38943 | − | 12.3315i | −0.0798207 | − | 0.708429i | ||||
\(304\) | −15.4014 | + | 12.2822i | −0.883333 | + | 0.704435i | ||||
\(305\) | 1.85170 | + | 8.11282i | 0.106028 | + | 0.464539i | ||||
\(306\) | 1.13035 | + | 7.27169i | 0.0646176 | + | 0.415695i | ||||
\(307\) | 25.9853 | 1.48306 | 0.741530 | − | 0.670920i | \(-0.234100\pi\) | ||||
0.741530 | + | 0.670920i | \(0.234100\pi\) | |||||||
\(308\) | 0.927758i | 0.0528639i | ||||||||
\(309\) | −15.0711 | + | 5.27359i | −0.857363 | + | 0.300004i | ||||
\(310\) | 1.44007 | − | 6.30936i | 0.0817904 | − | 0.358347i | ||||
\(311\) | 5.85181 | − | 16.7235i | 0.331826 | − | 0.948304i | −0.650234 | − | 0.759734i | \(-0.725329\pi\) |
0.982060 | − | 0.188570i | \(-0.0603852\pi\) | |||||||
\(312\) | −2.82271 | + | 1.77362i | −0.159804 | + | 0.100412i | ||||
\(313\) | 26.7532 | − | 3.01436i | 1.51218 | − | 0.170382i | 0.683437 | − | 0.730010i | \(-0.260485\pi\) |
0.828744 | + | 0.559628i | \(0.189056\pi\) | |||||||
\(314\) | 10.7651 | − | 22.3539i | 0.607507 | − | 1.26150i | ||||
\(315\) | −0.179730 | − | 0.143330i | −0.0101267 | − | 0.00807575i | ||||
\(316\) | 10.2621 | − | 16.3321i | 0.577290 | − | 0.918752i | ||||
\(317\) | −28.9309 | − | 10.1234i | −1.62492 | − | 0.568585i | −0.644348 | − | 0.764732i | \(-0.722871\pi\) |
−0.980575 | + | 0.196147i | \(0.937157\pi\) | |||||||
\(318\) | 0.579451 | − | 1.65598i | 0.0324940 | − | 0.0928625i | ||||
\(319\) | −11.6173 | − | 14.5676i | −0.650443 | − | 0.815629i | ||||
\(320\) | −11.8408 | − | 7.44010i | −0.661924 | − | 0.415914i | ||||
\(321\) | 17.7751 | + | 4.05704i | 0.992108 | + | 0.226442i | ||||
\(322\) | 0.511315 | + | 0.641169i | 0.0284945 | + | 0.0357309i | ||||
\(323\) | −17.9040 | − | 5.43239i | −0.996208 | − | 0.302266i | ||||
\(324\) | 2.18576 | − | 9.57644i | 0.121431 | − | 0.532025i | ||||
\(325\) | 1.65043 | − | 0.376700i | 0.0915495 | − | 0.0208956i | ||||
\(326\) | −7.90298 | − | 0.890452i | −0.437706 | − | 0.0493176i | ||||
\(327\) | 0.152309 | − | 0.0733483i | 0.00842272 | − | 0.00405617i | ||||
\(328\) | 0.211859 | − | 0.605460i | 0.0116980 | − | 0.0334309i | ||||
\(329\) | 0.224648 | − | 0.357525i | 0.0123852 | − | 0.0197110i | ||||
\(330\) | 26.9914 | − | 3.04120i | 1.48583 | − | 0.167413i | ||||
\(331\) | 0.841883 | − | 1.74819i | 0.0462741 | − | 0.0960891i | −0.876550 | − | 0.481311i | \(-0.840161\pi\) |
0.922824 | + | 0.385222i | \(0.125875\pi\) | |||||||
\(332\) | 0.488852 | + | 0.389847i | 0.0268292 | + | 0.0213956i | ||||
\(333\) | −1.43238 | + | 0.900027i | −0.0784942 | + | 0.0493212i | ||||
\(334\) | −14.7406 | − | 5.15797i | −0.806572 | − | 0.282232i | ||||
\(335\) | −11.6697 | − | 18.5722i | −0.637582 | − | 1.01471i | ||||
\(336\) | 0.653084 | + | 0.314509i | 0.0356287 | + | 0.0171579i | ||||
\(337\) | 4.13785 | − | 4.13785i | 0.225403 | − | 0.225403i | −0.585366 | − | 0.810769i | \(-0.699049\pi\) |
0.810769 | + | 0.585366i | \(0.199049\pi\) | |||||||
\(338\) | − | 51.6184i | − | 2.80767i | ||||||
\(339\) | −18.2241 | − | 8.77628i | −0.989799 | − | 0.476662i | ||||
\(340\) | −0.682343 | − | 16.2326i | −0.0370052 | − | 0.880334i | ||||
\(341\) | 4.20867 | + | 5.27751i | 0.227912 | + | 0.285793i | ||||
\(342\) | −6.33227 | − | 5.04981i | −0.342410 | − | 0.273063i | ||||
\(343\) | −1.14346 | + | 1.14346i | −0.0617412 | + | 0.0617412i | ||||
\(344\) | 1.26921 | + | 2.04897i | 0.0684314 | + | 0.110473i | ||||
\(345\) | 8.06951 | − | 8.06951i | 0.434448 | − | 0.434448i | ||||
\(346\) | 16.2253 | − | 1.82815i | 0.872276 | − | 0.0982819i | ||||
\(347\) | −0.0584233 | + | 0.518521i | −0.00313633 | + | 0.0278357i | −0.995183 | − | 0.0980356i | \(-0.968744\pi\) |
0.992047 | + | 0.125871i | \(0.0401727\pi\) | |||||||
\(348\) | 10.7316 | − | 2.44942i | 0.575276 | − | 0.131303i | ||||
\(349\) | −5.48290 | + | 11.3854i | −0.293493 | + | 0.609444i | −0.994620 | − | 0.103592i | \(-0.966966\pi\) |
0.701127 | + | 0.713036i | \(0.252681\pi\) | |||||||
\(350\) | −0.0430262 | − | 0.0430262i | −0.00229985 | − | 0.00229985i | ||||
\(351\) | −25.1031 | − | 25.1031i | −1.33990 | − | 1.33990i | ||||
\(352\) | 32.3586 | − | 11.3228i | 1.72472 | − | 0.603506i | ||||
\(353\) | 2.51345 | − | 11.0121i | 0.133777 | − | 0.586117i | −0.862951 | − | 0.505288i | \(-0.831386\pi\) |
0.996728 | − | 0.0808285i | \(-0.0257566\pi\) | |||||||
\(354\) | 12.1709 | − | 34.7824i | 0.646876 | − | 1.84866i | ||||
\(355\) | −17.3182 | − | 3.95276i | −0.919154 | − | 0.209791i | ||||
\(356\) | −1.78387 | + | 2.23690i | −0.0945448 | + | 0.118555i | ||||
\(357\) | 0.105749 | + | 0.680302i | 0.00559684 | + | 0.0360054i | ||||
\(358\) | 14.0888 | − | 17.6668i | 0.744618 | − | 0.933721i | ||||
\(359\) | −11.5320 | + | 2.63211i | −0.608636 | + | 0.138917i | −0.515721 | − | 0.856757i | \(-0.672476\pi\) |
−0.0929154 | + | 0.995674i | \(0.529619\pi\) | |||||||
\(360\) | −0.241373 | + | 0.689805i | −0.0127215 | + | 0.0363559i | ||||
\(361\) | 1.43442 | − | 0.690782i | 0.0754960 | − | 0.0363569i | ||||
\(362\) | −7.01290 | − | 0.790164i | −0.368590 | − | 0.0415301i | ||||
\(363\) | −6.62106 | + | 10.5374i | −0.347515 | + | 0.553068i | ||||
\(364\) | −1.11384 | + | 0.699873i | −0.0583812 | + | 0.0366833i | ||||
\(365\) | 0.953620 | − | 0.760486i | 0.0499147 | − | 0.0398057i | ||||
\(366\) | 8.43454 | − | 6.72632i | 0.440880 | − | 0.351590i | ||||
\(367\) | 4.37684 | − | 2.75015i | 0.228469 | − | 0.143557i | −0.412933 | − | 0.910761i | \(-0.635496\pi\) |
0.641403 | + | 0.767204i | \(0.278353\pi\) | |||||||
\(368\) | 8.39092 | − | 13.3541i | 0.437407 | − | 0.696129i | ||||
\(369\) | 1.58540 | + | 0.178631i | 0.0825325 | + | 0.00929918i | ||||
\(370\) | 7.07955 | − | 3.40933i | 0.368048 | − | 0.177243i | ||||
\(371\) | −0.0237597 | + | 0.0679013i | −0.00123354 | + | 0.00352526i | ||||
\(372\) | −3.88782 | + | 0.887370i | −0.201574 | + | 0.0460080i | ||||
\(373\) | −16.8044 | + | 21.0721i | −0.870099 | + | 1.09107i | 0.124997 | + | 0.992157i | \(0.460108\pi\) |
−0.995096 | + | 0.0989124i | \(0.968464\pi\) | |||||||
\(374\) | 28.7840 | + | 21.0392i | 1.48838 | + | 1.08791i | ||||
\(375\) | −10.3203 | + | 12.9413i | −0.532938 | + | 0.668283i | ||||
\(376\) | −1.30869 | − | 0.298700i | −0.0674906 | − | 0.0154043i | ||||
\(377\) | 8.72576 | − | 24.9368i | 0.449399 | − | 1.28431i | ||||
\(378\) | −0.283946 | + | 1.24405i | −0.0146046 | + | 0.0639869i | ||||
\(379\) | 19.0535 | − | 6.66710i | 0.978712 | − | 0.342466i | 0.206932 | − | 0.978355i | \(-0.433652\pi\) |
0.771780 | + | 0.635889i | \(0.219367\pi\) | |||||||
\(380\) | 12.6439 | + | 12.6439i | 0.648619 | + | 0.648619i | ||||
\(381\) | −9.02097 | − | 9.02097i | −0.462158 | − | 0.462158i | ||||
\(382\) | 1.48166 | − | 3.07669i | 0.0758081 | − | 0.157417i | ||||
\(383\) | −26.7904 | + | 6.11472i | −1.36892 | + | 0.312448i | −0.842922 | − | 0.538036i | \(-0.819167\pi\) |
−0.526001 | + | 0.850484i | \(0.676309\pi\) | |||||||
\(384\) | 0.473373 | − | 4.20130i | 0.0241567 | − | 0.214397i | ||||
\(385\) | −1.10675 | + | 0.124701i | −0.0564053 | + | 0.00635535i | ||||
\(386\) | −18.5418 | + | 18.5418i | −0.943752 | + | 0.943752i | ||||
\(387\) | −4.26598 | + | 4.21165i | −0.216852 | + | 0.214090i | ||||
\(388\) | 1.27346 | − | 1.27346i | 0.0646503 | − | 0.0646503i | ||||
\(389\) | −28.1574 | − | 22.4548i | −1.42764 | − | 1.13850i | −0.968166 | − | 0.250307i | \(-0.919468\pi\) |
−0.459469 | − | 0.888194i | \(-0.651960\pi\) | |||||||
\(390\) | 24.0127 | + | 30.1110i | 1.21593 | + | 1.52473i | ||||
\(391\) | 14.9663 | − | 0.629116i | 0.756879 | − | 0.0318157i | ||||
\(392\) | 2.31367 | + | 1.11420i | 0.116858 | + | 0.0562758i | ||||
\(393\) | 7.98796i | 0.402939i | ||||||||
\(394\) | 18.3750 | − | 18.3750i | 0.925717 | − | 0.925717i | ||||
\(395\) | 20.8624 | + | 10.0468i | 1.04970 | + | 0.505510i | ||||
\(396\) | 3.90286 | + | 6.21136i | 0.196126 | + | 0.312133i | ||||
\(397\) | −27.1476 | − | 9.49935i | −1.36250 | − | 0.476758i | −0.452645 | − | 0.891691i | \(-0.649520\pi\) |
−0.909852 | + | 0.414932i | \(0.863805\pi\) | |||||||
\(398\) | 26.1539 | − | 16.4336i | 1.31098 | − | 0.823742i | ||||
\(399\) | −0.592414 | − | 0.472434i | −0.0296578 | − | 0.0236513i | ||||
\(400\) | −0.507731 | + | 1.05431i | −0.0253866 | + | 0.0527157i | ||||
\(401\) | −32.3440 | + | 3.64429i | −1.61518 | + | 0.181987i | −0.872831 | − | 0.488023i | \(-0.837718\pi\) |
−0.742352 | + | 0.670010i | \(0.766290\pi\) | |||||||
\(402\) | −15.1289 | + | 24.0775i | −0.754561 | + | 1.20088i | ||||
\(403\) | −3.16114 | + | 9.03402i | −0.157468 | + | 0.450017i | ||||
\(404\) | −14.0257 | + | 6.75441i | −0.697804 | + | 0.336045i | ||||
\(405\) | 11.7178 | + | 1.32028i | 0.582264 | + | 0.0656054i | ||||
\(406\) | −0.925801 | + | 0.211308i | −0.0459467 | + | 0.0104870i | ||||
\(407\) | −1.82377 | + | 7.99045i | −0.0904009 | + | 0.396072i | ||||
\(408\) | 1.93033 | − | 1.03162i | 0.0955654 | − | 0.0510729i | ||||
\(409\) | 0.197819 | + | 0.248058i | 0.00978154 | + | 0.0122657i | 0.786698 | − | 0.617338i | \(-0.211789\pi\) |
−0.776917 | + | 0.629603i | \(0.783217\pi\) | |||||||
\(410\) | −7.22484 | − | 1.64902i | −0.356809 | − | 0.0814394i | ||||
\(411\) | −16.0079 | − | 10.0584i | −0.789609 | − | 0.496145i | ||||
\(412\) | 12.4886 | + | 15.6602i | 0.615268 | + | 0.771521i | ||||
\(413\) | −0.499053 | + | 1.42621i | −0.0245568 | + | 0.0701793i | ||||
\(414\) | 6.12051 | + | 2.14166i | 0.300807 | + | 0.105257i | ||||
\(415\) | −0.399353 | + | 0.635567i | −0.0196035 | + | 0.0311988i | ||||
\(416\) | 38.0042 | + | 30.3073i | 1.86331 | + | 1.48594i | ||||
\(417\) | −9.52748 | + | 19.7840i | −0.466563 | + | 0.968828i | ||||
\(418\) | −38.9931 | + | 4.39347i | −1.90721 | + | 0.214891i | ||||
\(419\) | 20.6887 | − | 12.9995i | 1.01071 | − | 0.635070i | 0.0784698 | − | 0.996916i | \(-0.474997\pi\) |
0.932238 | + | 0.361847i | \(0.117854\pi\) | |||||||
\(420\) | 0.217315 | − | 0.621049i | 0.0106039 | − | 0.0303041i | ||||
\(421\) | 3.00685 | − | 13.1739i | 0.146545 | − | 0.642055i | −0.847285 | − | 0.531139i | \(-0.821764\pi\) |
0.993830 | − | 0.110916i | \(-0.0353785\pi\) | |||||||
\(422\) | −38.4269 | + | 13.4462i | −1.87059 | + | 0.654549i | ||||
\(423\) | − | 3.33868i | − | 0.162332i | ||||||
\(424\) | 0.228697 | 0.0111065 | ||||||||
\(425\) | −1.09825 | + | 0.170718i | −0.0532731 | + | 0.00828102i | ||||
\(426\) | 5.12448 | + | 22.4518i | 0.248282 | + | 1.08779i | ||||
\(427\) | −0.345848 | + | 0.275805i | −0.0167368 | + | 0.0133471i | ||||
\(428\) | −2.56081 | − | 22.7278i | −0.123781 | − | 1.09859i | ||||
\(429\) | −40.1713 | −1.93949 | ||||||||
\(430\) | 21.8809 | − | 17.2212i | 1.05519 | − | 0.830479i | ||||
\(431\) | 14.2381 | + | 14.2381i | 0.685826 | + | 0.685826i | 0.961307 | − | 0.275480i | \(-0.0888369\pi\) |
−0.275480 | + | 0.961307i | \(0.588837\pi\) | |||||||
\(432\) | 24.3858 | − | 2.74762i | 1.17326 | − | 0.132195i | ||||
\(433\) | 18.3388 | − | 14.6247i | 0.881309 | − | 0.702820i | −0.0743704 | − | 0.997231i | \(-0.523695\pi\) |
0.955679 | + | 0.294411i | \(0.0951233\pi\) | |||||||
\(434\) | 0.335396 | − | 0.0765520i | 0.0160995 | − | 0.00367461i | ||||
\(435\) | 4.36445 | + | 12.4729i | 0.209259 | + | 0.598028i | ||||
\(436\) | −0.149954 | − | 0.149954i | −0.00718151 | − | 0.00718151i | ||||
\(437\) | −11.6576 | + | 11.6576i | −0.557658 | + | 0.557658i | ||||
\(438\) | −1.42469 | − | 0.686095i | −0.0680744 | − | 0.0327829i | ||||
\(439\) | −1.82186 | − | 2.89947i | −0.0869525 | − | 0.138384i | 0.800416 | − | 0.599445i | \(-0.204612\pi\) |
−0.887369 | + | 0.461061i | \(0.847469\pi\) | |||||||
\(440\) | 1.53625 | + | 3.19006i | 0.0732380 | + | 0.152080i | ||||
\(441\) | −1.42126 | + | 6.22694i | −0.0676790 | + | 0.296521i | ||||
\(442\) | −3.54536 | + | 50.4287i | −0.168636 | + | 2.39865i | ||||
\(443\) | 12.8393 | + | 6.18306i | 0.610012 | + | 0.293766i | 0.713271 | − | 0.700888i | \(-0.247213\pi\) |
−0.103259 | + | 0.994654i | \(0.532927\pi\) | |||||||
\(444\) | −3.78556 | − | 3.01888i | −0.179655 | − | 0.143270i | ||||
\(445\) | −2.90824 | − | 1.82737i | −0.137864 | − | 0.0866256i | ||||
\(446\) | 10.3907 | − | 5.00392i | 0.492016 | − | 0.236943i | ||||
\(447\) | 9.49326 | − | 27.1302i | 0.449016 | − | 1.28321i | ||||
\(448\) | 0.0832328 | − | 0.738711i | 0.00393238 | − | 0.0349008i | ||||
\(449\) | 1.30360 | − | 2.07467i | 0.0615209 | − | 0.0979099i | −0.814547 | − | 0.580097i | \(-0.803015\pi\) |
0.876068 | + | 0.482187i | \(0.160157\pi\) | |||||||
\(450\) | −0.469063 | − | 0.107060i | −0.0221118 | − | 0.00504688i | ||||
\(451\) | 6.04327 | − | 4.81934i | 0.284566 | − | 0.226934i | ||||
\(452\) | −2.84103 | + | 25.2148i | −0.133631 | + | 1.18600i | ||||
\(453\) | 17.1571 | − | 10.7805i | 0.806110 | − | 0.506513i | ||||
\(454\) | −3.18213 | − | 1.99946i | −0.149345 | − | 0.0938395i | ||||
\(455\) | −0.984614 | − | 1.23467i | −0.0461594 | − | 0.0578821i | ||||
\(456\) | −0.795596 | + | 2.27368i | −0.0372572 | + | 0.106475i | ||||
\(457\) | 6.39042 | + | 13.2698i | 0.298931 | + | 0.620737i | 0.995288 | − | 0.0969584i | \(-0.0309114\pi\) |
−0.696357 | + | 0.717695i | \(0.745197\pi\) | |||||||
\(458\) | −8.90827 | − | 39.0297i | −0.416256 | − | 1.82374i | ||||
\(459\) | 15.2848 | + | 17.5965i | 0.713432 | + | 0.821333i | ||||
\(460\) | −12.8982 | − | 6.21145i | −0.601382 | − | 0.289610i | ||||
\(461\) | 26.3127 | + | 20.9837i | 1.22550 | + | 0.977306i | 0.999995 | + | 0.00306508i | \(0.000975645\pi\) |
0.225508 | + | 0.974241i | \(0.427596\pi\) | |||||||
\(462\) | 0.768204 | + | 1.22259i | 0.0357401 | + | 0.0568800i | ||||
\(463\) | 27.3172 | − | 13.1553i | 1.26954 | − | 0.611376i | 0.326856 | − | 0.945074i | \(-0.394011\pi\) |
0.942680 | + | 0.333698i | \(0.108296\pi\) | |||||||
\(464\) | 9.71618 | + | 15.4632i | 0.451062 | + | 0.717861i | ||||
\(465\) | −1.58114 | − | 4.51863i | −0.0733235 | − | 0.209547i | ||||
\(466\) | −22.1447 | − | 22.1447i | −1.02583 | − | 1.02583i | ||||
\(467\) | − | 14.2691i | − | 0.660293i | −0.943930 | − | 0.330147i | \(-0.892902\pi\) | ||
0.943930 | − | 0.330147i | \(-0.107098\pi\) | |||||||
\(468\) | −4.51300 | + | 9.37134i | −0.208613 | + | 0.433190i | ||||
\(469\) | 0.620343 | − | 0.987270i | 0.0286448 | − | 0.0455879i | ||||
\(470\) | −1.73633 | + | 15.4104i | −0.0800911 | + | 0.710829i | ||||
\(471\) | −2.05494 | − | 18.2381i | −0.0946867 | − | 0.840368i | ||||
\(472\) | 4.80359 | 0.221103 | ||||||||
\(473\) | −0.186124 | + | 29.0429i | −0.00855799 | + | 1.33540i | ||||
\(474\) | − | 30.0195i | − | 1.37884i | ||||||
\(475\) | 0.762680 | − | 0.956370i | 0.0349941 | − | 0.0438813i | ||||
\(476\) | 0.761708 | − | 0.407078i | 0.0349128 | − | 0.0186584i | ||||
\(477\) | 0.126573 | + | 0.554553i | 0.00579538 | + | 0.0253912i | ||||
\(478\) | −21.2877 | + | 44.2044i | −0.973678 | + | 2.02186i | ||||
\(479\) | 29.2075 | − | 29.2075i | 1.33452 | − | 1.33452i | 0.433249 | − | 0.901274i | \(-0.357367\pi\) |
0.901274 | − | 0.433249i | \(-0.142633\pi\) | |||||||
\(480\) | −24.3133 | −1.10975 | ||||||||
\(481\) | −10.9689 | + | 3.83819i | −0.500140 | + | 0.175007i | ||||
\(482\) | 30.9186 | − | 19.4275i | 1.40830 | − | 0.884896i | ||||
\(483\) | 0.572603 | + | 0.200363i | 0.0260543 | + | 0.00911681i | ||||
\(484\) | 15.2202 | + | 3.47391i | 0.691826 | + | 0.157905i | ||||
\(485\) | 1.69032 | + | 1.34799i | 0.0767536 | + | 0.0612090i | ||||
\(486\) | 5.88648 | + | 16.8226i | 0.267016 | + | 0.763088i | ||||
\(487\) | −3.52566 | + | 0.397247i | −0.159763 | + | 0.0180010i | −0.191484 | − | 0.981496i | \(-0.561330\pi\) |
0.0317206 | + | 0.999497i | \(0.489901\pi\) | |||||||
\(488\) | 1.19073 | + | 0.748187i | 0.0539019 | + | 0.0338688i | ||||
\(489\) | −5.30050 | + | 2.55258i | −0.239697 | + | 0.115432i | ||||
\(490\) | 9.79853 | − | 28.0026i | 0.442653 | − | 1.26503i | ||||
\(491\) | −21.5699 | + | 17.2015i | −0.973438 | + | 0.776291i | −0.974656 | − | 0.223709i | \(-0.928184\pi\) |
0.00121847 | + | 0.999999i | \(0.499612\pi\) | |||||||
\(492\) | 1.01613 | + | 4.45194i | 0.0458105 | + | 0.200709i | ||||
\(493\) | −6.86291 | + | 15.9299i | −0.309090 | + | 0.717449i | ||||
\(494\) | −34.6899 | − | 43.4998i | −1.56077 | − | 1.95715i | ||||
\(495\) | −6.88515 | + | 5.49072i | −0.309464 | + | 0.246790i | ||||
\(496\) | −3.51995 | − | 5.60196i | −0.158050 | − | 0.251536i | ||||
\(497\) | −0.210123 | − | 0.920610i | −0.00942532 | − | 0.0412950i | ||||
\(498\) | 0.967006 | + | 0.108955i | 0.0433326 | + | 0.00488241i | ||||
\(499\) | 11.4951 | + | 4.02233i | 0.514594 | + | 0.180064i | 0.575068 | − | 0.818106i | \(-0.304976\pi\) |
−0.0604744 | + | 0.998170i | \(0.519261\pi\) | |||||||
\(500\) | 19.5992 | + | 6.85807i | 0.876504 | + | 0.306702i | ||||
\(501\) | −11.2628 | + | 2.57066i | −0.503185 | + | 0.114849i | ||||
\(502\) | 43.2661 | + | 34.5036i | 1.93106 | + | 1.53997i | ||||
\(503\) | −1.74975 | − | 5.00049i | −0.0780174 | − | 0.222961i | 0.898268 | − | 0.439448i | \(-0.144826\pi\) |
−0.976286 | + | 0.216487i | \(0.930540\pi\) | |||||||
\(504\) | −0.0386049 | + | 0.00434972i | −0.00171960 | + | 0.000193752i | ||||
\(505\) | −9.94277 | − | 15.8238i | −0.442447 | − | 0.704151i | ||||
\(506\) | 28.3048 | − | 13.6309i | 1.25830 | − | 0.605967i | ||||
\(507\) | −20.3151 | − | 32.3313i | −0.902225 | − | 1.43588i | ||||
\(508\) | −6.94383 | + | 14.4190i | −0.308083 | + | 0.639741i | ||||
\(509\) | 16.3525 | 0.724812 | 0.362406 | − | 0.932020i | \(-0.381955\pi\) | ||||
0.362406 | + | 0.932020i | \(0.381955\pi\) | |||||||
\(510\) | −14.3401 | − | 20.8261i | −0.634990 | − | 0.922195i | ||||
\(511\) | 0.0584178 | + | 0.0281325i | 0.00258425 | + | 0.00124451i | ||||
\(512\) | −29.6475 | + | 6.76685i | −1.31025 | + | 0.299056i | ||||
\(513\) | −25.4912 | − | 2.87217i | −1.12546 | − | 0.126809i | ||||
\(514\) | 3.71634 | − | 4.66015i | 0.163921 | − | 0.205550i | ||||
\(515\) | −17.0029 | + | 17.0029i | −0.749238 | + | 0.749238i | ||||
\(516\) | −15.4108 | − | 7.54351i | −0.678424 | − | 0.332084i | ||||
\(517\) | −11.4378 | − | 11.4378i | −0.503033 | − | 0.503033i | ||||
\(518\) | 0.326574 | + | 0.260434i | 0.0143489 | + | 0.0114428i | ||||
\(519\) | 9.44324 | − | 7.53073i | 0.414512 | − | 0.330562i | ||||
\(520\) | −2.67100 | + | 4.25088i | −0.117131 | + | 0.186413i | ||||
\(521\) | 14.0920 | + | 40.2727i | 0.617383 | + | 1.76438i | 0.644337 | + | 0.764742i | \(0.277134\pi\) |
−0.0269538 | + | 0.999637i | \(0.508581\pi\) | |||||||
\(522\) | −5.30934 | + | 5.30934i | −0.232383 | + | 0.232383i | ||||
\(523\) | −30.5707 | −1.33677 | −0.668383 | − | 0.743818i | \(-0.733013\pi\) | ||||
−0.668383 | + | 0.743818i | \(0.733013\pi\) | |||||||
\(524\) | 9.45827 | − | 3.30959i | 0.413186 | − | 0.144580i | ||||
\(525\) | −0.0438830 | − | 0.0100160i | −0.00191521 | − | 0.000437135i | ||||
\(526\) | −33.5335 | + | 16.1489i | −1.46213 | + | 0.704126i | ||||
\(527\) | 2.48627 | − | 5.77105i | 0.108304 | − | 0.251391i | ||||
\(528\) | 17.3133 | − | 21.7102i | 0.753466 | − | 0.944816i | ||||
\(529\) | −4.25241 | + | 8.83022i | −0.184887 | + | 0.383922i | ||||
\(530\) | −0.295821 | − | 2.62548i | −0.0128496 | − | 0.114044i | ||||
\(531\) | 2.65856 | + | 11.6479i | 0.115372 | + | 0.505477i | ||||
\(532\) | −0.313943 | + | 0.897197i | −0.0136111 | + | 0.0388984i | ||||
\(533\) | 10.3448 | + | 3.61982i | 0.448085 | + | 0.156792i | ||||
\(534\) | −0.498560 | + | 4.42484i | −0.0215748 | + | 0.191482i | ||||
\(535\) | 26.7685 | − | 6.10973i | 1.15730 | − | 0.264147i | ||||
\(536\) | −3.61382 | − | 0.824830i | −0.156093 | − | 0.0356272i | ||||
\(537\) | 1.87155 | − | 16.6105i | 0.0807635 | − | 0.716796i | ||||
\(538\) | −1.59028 | + | 14.1141i | −0.0685617 | + | 0.608501i | ||||
\(539\) | 16.4635 | + | 26.2014i | 0.709131 | + | 1.12858i | ||||
\(540\) | −4.95674 | − | 21.7169i | −0.213304 | − | 0.934546i | ||||
\(541\) | 29.6137 | + | 3.33666i | 1.27319 | + | 0.143454i | 0.722568 | − | 0.691300i | \(-0.242962\pi\) |
0.550623 | + | 0.834754i | \(0.314390\pi\) | |||||||
\(542\) | 9.05286 | + | 18.7985i | 0.388854 | + | 0.807463i | ||||
\(543\) | −4.70352 | + | 2.26510i | −0.201848 | + | 0.0972046i | ||||
\(544\) | −23.4944 | − | 21.5989i | −1.00732 | − | 0.926046i | ||||
\(545\) | 0.158730 | − | 0.199041i | 0.00679924 | − | 0.00852598i | ||||
\(546\) | −0.888298 | + | 1.84457i | −0.0380157 | + | 0.0789403i | ||||
\(547\) | 0.867614 | + | 7.70029i | 0.0370965 | + | 0.329241i | 0.998530 | + | 0.0542029i | \(0.0172618\pi\) |
−0.961433 | + | 0.275038i | \(0.911310\pi\) | |||||||
\(548\) | −5.27740 | + | 23.1218i | −0.225439 | + | 0.987714i | ||||
\(549\) | −1.15522 | + | 3.30142i | −0.0493035 | + | 0.140901i | ||||
\(550\) | −1.97370 | + | 1.24016i | −0.0841589 | + | 0.0528805i | ||||
\(551\) | −6.30508 | − | 18.0189i | −0.268606 | − | 0.767631i | ||||
\(552\) | − | 1.92857i | − | 0.0820854i | ||||||
\(553\) | 1.23092i | 0.0523438i | ||||||||
\(554\) | −10.1262 | − | 28.9389i | −0.430219 | − | 1.22950i | ||||
\(555\) | 3.09250 | − | 4.92169i | 0.131269 | − | 0.208914i | ||||
\(556\) | 27.3730 | + | 3.08420i | 1.16088 | + | 0.130799i | ||||
\(557\) | −5.12712 | + | 6.42920i | −0.217243 | + | 0.272414i | −0.878497 | − | 0.477748i | \(-0.841453\pi\) |
0.661254 | + | 0.750162i | \(0.270025\pi\) | |||||||
\(558\) | 1.92345 | − | 1.92345i | 0.0814262 | − | 0.0814262i | ||||
\(559\) | −35.0086 | + | 21.6857i | −1.48071 | + | 0.917207i | ||||
\(560\) | 1.09162 | 0.0461294 | ||||||||
\(561\) | 26.3092 | + | 1.84965i | 1.11077 | + | 0.0780924i | ||||
\(562\) | 21.1397 | + | 26.5083i | 0.891723 | + | 1.11818i | ||||
\(563\) | 14.6012 | − | 3.33262i | 0.615365 | − | 0.140453i | 0.0965338 | − | 0.995330i | \(-0.469224\pi\) |
0.518831 | + | 0.854877i | \(0.326367\pi\) | |||||||
\(564\) | 9.01971 | − | 3.15613i | 0.379798 | − | 0.132897i | ||||
\(565\) | −30.4614 | −1.28152 | ||||||||
\(566\) | −43.5602 | + | 43.5602i | −1.83097 | + | 1.83097i | ||||
\(567\) | 0.207034 | + | 0.591668i | 0.00869460 | + | 0.0248477i | ||||
\(568\) | −2.54182 | + | 1.59713i | −0.106652 | + | 0.0670142i | ||||
\(569\) | 6.13430 | + | 12.7380i | 0.257163 | + | 0.534005i | 0.989078 | − | 0.147391i | \(-0.0470875\pi\) |
−0.731915 | + | 0.681396i | \(0.761373\pi\) | |||||||
\(570\) | 27.1314 | + | 6.19257i | 1.13641 | + | 0.259378i | ||||
\(571\) | 38.6261 | − | 4.35212i | 1.61645 | − | 0.182130i | 0.743086 | − | 0.669196i | \(-0.233361\pi\) |
0.873365 | + | 0.487065i | \(0.161933\pi\) | |||||||
\(572\) | 16.6439 | + | 47.5654i | 0.695915 | + | 1.98881i | ||||
\(573\) | −0.282833 | − | 2.51021i | −0.0118155 | − | 0.104866i | ||||
\(574\) | −0.0876596 | − | 0.384062i | −0.00365884 | − | 0.0160304i | ||||
\(575\) | −0.323458 | + | 0.924389i | −0.0134891 | + | 0.0385497i | ||||
\(576\) | −2.55034 | − | 5.29583i | −0.106264 | − | 0.220660i | ||||
\(577\) | −26.1148 | − | 32.7469i | −1.08717 | − | 1.36327i | −0.926513 | − | 0.376262i | \(-0.877209\pi\) |
−0.160660 | − | 0.987010i | \(-0.551362\pi\) | |||||||
\(578\) | 4.64390 | − | 32.8638i | 0.193161 | − | 1.36695i | ||||
\(579\) | −4.31632 | + | 18.9110i | −0.179380 | + | 0.785916i | ||||
\(580\) | 12.9604 | − | 10.3356i | 0.538152 | − | 0.429162i | ||||
\(581\) | −0.0396509 | − | 0.00446759i | −0.00164500 | − | 0.000185347i | ||||
\(582\) | 0.623701 | − | 2.73261i | 0.0258532 | − | 0.113270i | ||||
\(583\) | 2.33342 | + | 1.46619i | 0.0966405 | + | 0.0607233i | ||||
\(584\) | 0.0230789 | − | 0.204831i | 0.000955012 | − | 0.00847597i | ||||
\(585\) | −11.7860 | − | 4.12409i | −0.487290 | − | 0.170510i | ||||
\(586\) | −16.3274 | − | 33.9041i | −0.674477 | − | 1.40057i | ||||
\(587\) | 38.5528 | − | 8.79942i | 1.59124 | − | 0.363191i | 0.667019 | − | 0.745041i | \(-0.267570\pi\) |
0.924225 | + | 0.381850i | \(0.124713\pi\) | |||||||
\(588\) | −18.1661 | + | 2.04683i | −0.749158 | + | 0.0844098i | ||||
\(589\) | 2.28419 | + | 6.52783i | 0.0941183 | + | 0.268975i | ||||
\(590\) | −6.21347 | − | 55.1461i | −0.255805 | − | 2.27033i | ||||
\(591\) | 4.27749 | − | 18.7409i | 0.175952 | − | 0.770897i | ||||
\(592\) | 2.65315 | − | 7.58228i | 0.109044 | − | 0.311630i | ||||
\(593\) | −45.1002 | − | 10.2938i | −1.85204 | − | 0.422716i | −0.856427 | − | 0.516268i | \(-0.827321\pi\) |
−0.995614 | + | 0.0935517i | \(0.970178\pi\) | |||||||
\(594\) | 44.0419 | + | 21.2095i | 1.80706 | + | 0.870234i | ||||
\(595\) | 0.587999 | + | 0.853950i | 0.0241056 | + | 0.0350085i | ||||
\(596\) | −36.0572 | −1.47696 | ||||||||
\(597\) | 9.91391 | − | 20.5864i | 0.405749 | − | 0.842547i | ||||
\(598\) | 37.7172 | + | 23.6993i | 1.54237 | + | 0.969136i | ||||
\(599\) | −26.5057 | − | 33.2370i | −1.08299 | − | 1.35803i | −0.929052 | − | 0.369949i | \(-0.879375\pi\) |
−0.153940 | − | 0.988080i | \(-0.549196\pi\) | |||||||
\(600\) | 0.0160215 | + | 0.142195i | 0.000654077 | + | 0.00580509i | ||||
\(601\) | 22.2900 | + | 22.2900i | 0.909230 | + | 0.909230i | 0.996210 | − | 0.0869804i | \(-0.0277217\pi\) |
−0.0869804 | + | 0.996210i | \(0.527722\pi\) | |||||||
\(602\) | 1.32947 | + | 0.650767i | 0.0541851 | + | 0.0265233i | ||||
\(603\) | − | 9.21944i | − | 0.375445i | ||||||
\(604\) | −19.8734 | − | 15.8485i | −0.808637 | − | 0.644867i | ||||
\(605\) | −2.09837 | + | 18.6236i | −0.0853110 | + | 0.757156i | ||||
\(606\) | −12.8901 | + | 20.5145i | −0.523624 | + | 0.833343i | ||||
\(607\) | −26.9751 | + | 9.43899i | −1.09489 | + | 0.383117i | −0.816496 | − | 0.577351i | \(-0.804086\pi\) |
−0.278389 | + | 0.960468i | \(0.589801\pi\) | |||||||
\(608\) | 35.1242 | 1.42447 | ||||||||
\(609\) | −0.496714 | + | 0.496714i | −0.0201279 | + | 0.0201279i | ||||
\(610\) | 7.04911 | − | 14.6376i | 0.285410 | − | 0.592660i | ||||
\(611\) | 5.10357 | − | 22.3602i | 0.206468 | − | 0.904597i | ||||
\(612\) | 3.38717 | − | 5.92973i | 0.136918 | − | 0.239695i | ||||
\(613\) | 5.70807 | − | 25.0087i | 0.230547 | − | 1.01009i | −0.718641 | − | 0.695381i | \(-0.755236\pi\) |
0.949188 | − | 0.314710i | \(-0.101907\pi\) | |||||||
\(614\) | −39.6646 | − | 31.6314i | −1.60073 | − | 1.27654i | ||||
\(615\) | −5.17428 | + | 1.81056i | −0.208647 | + | 0.0730088i | ||||
\(616\) | −0.117352 | + | 0.147155i | −0.00472826 | + | 0.00592905i | ||||
\(617\) | 35.3275 | + | 22.1978i | 1.42223 | + | 0.893648i | 0.999918 | − | 0.0128016i | \(-0.00407500\pi\) |
0.422314 | + | 0.906449i | \(0.361218\pi\) | |||||||
\(618\) | 29.4243 | + | 10.2960i | 1.18362 | + | 0.414166i | ||||
\(619\) | 11.6015 | + | 4.05954i | 0.466303 | + | 0.163167i | 0.553196 | − | 0.833051i | \(-0.313408\pi\) |
−0.0868928 | + | 0.996218i | \(0.527694\pi\) | |||||||
\(620\) | −4.69526 | + | 3.74434i | −0.188566 | + | 0.150376i | ||||
\(621\) | 20.0228 | − | 4.57008i | 0.803489 | − | 0.183391i | ||||
\(622\) | −29.2896 | + | 18.4039i | −1.17440 | + | 0.737927i | ||||
\(623\) | 0.0204429 | − | 0.181436i | 0.000819026 | − | 0.00726906i | ||||
\(624\) | 39.1254 | + | 4.40837i | 1.56627 | + | 0.176476i | ||||
\(625\) | −5.24694 | + | 22.9883i | −0.209877 | + | 0.919533i | ||||
\(626\) | −44.5060 | − | 27.9650i | −1.77882 | − | 1.11771i | ||||
\(627\) | −22.6943 | + | 18.0981i | −0.906323 | + | 0.722768i | ||||
\(628\) | −20.7437 | + | 9.98965i | −0.827765 | + | 0.398630i | ||||
\(629\) | 7.36055 | − | 2.00867i | 0.293484 | − | 0.0800911i | ||||
\(630\) | 0.0998714 | + | 0.437565i | 0.00397897 | + | 0.0174330i | ||||
\(631\) | −5.08846 | − | 4.05791i | −0.202569 | − | 0.161543i | 0.516952 | − | 0.856015i | \(-0.327067\pi\) |
−0.719520 | + | 0.694472i | \(0.755638\pi\) | |||||||
\(632\) | 3.69357 | − | 1.29244i | 0.146922 | − | 0.0514103i | ||||
\(633\) | −18.7769 | + | 23.5454i | −0.746313 | + | 0.935847i | ||||
\(634\) | 31.8378 | + | 50.6696i | 1.26444 | + | 2.01235i | ||||
\(635\) | −18.1342 | − | 6.34545i | −0.719635 | − | 0.251811i | ||||
\(636\) | −1.37852 | + | 0.866178i | −0.0546617 | + | 0.0343462i | ||||
\(637\) | −19.0372 | + | 39.5312i | −0.754282 | + | 1.56628i | ||||
\(638\) | 36.3778i | 1.44021i | ||||||||
\(639\) | −5.27957 | − | 5.27957i | −0.208857 | − | 0.208857i | ||||
\(640\) | −2.10289 | − | 6.00972i | −0.0831241 | − | 0.237555i | ||||
\(641\) | 3.02169 | + | 1.89865i | 0.119350 | + | 0.0749923i | 0.590384 | − | 0.807123i | \(-0.298976\pi\) |
−0.471034 | + | 0.882115i | \(0.656119\pi\) | |||||||
\(642\) | −22.1937 | − | 27.8300i | −0.875915 | − | 1.09836i | ||||
\(643\) | 5.08608 | + | 45.1402i | 0.200575 | + | 1.78016i | 0.542131 | + | 0.840294i | \(0.317618\pi\) |
−0.341556 | + | 0.939862i | \(0.610954\pi\) | |||||||
\(644\) | − | 0.761015i | − | 0.0299882i | ||||||
\(645\) | 6.92750 | − | 19.3980i | 0.272770 | − | 0.763796i | ||||
\(646\) | 20.7164 | + | 30.0864i | 0.815075 | + | 1.18373i | ||||
\(647\) | 11.6144 | − | 14.5639i | 0.456608 | − | 0.572568i | −0.499228 | − | 0.866471i | \(-0.666383\pi\) |
0.955835 | + | 0.293903i | \(0.0949543\pi\) | |||||||
\(648\) | 1.55802 | − | 1.24248i | 0.0612048 | − | 0.0488092i | ||||
\(649\) | 49.0117 | + | 30.7961i | 1.92388 | + | 1.20885i | ||||
\(650\) | −2.97780 | − | 1.43404i | −0.116799 | − | 0.0562475i | ||||
\(651\) | 0.179948 | − | 0.179948i | 0.00705272 | − | 0.00705272i | ||||
\(652\) | 5.21854 | + | 5.21854i | 0.204374 | + | 0.204374i | ||||
\(653\) | −7.90163 | − | 22.5816i | −0.309215 | − | 0.883685i | −0.988688 | − | 0.149985i | \(-0.952078\pi\) |
0.679474 | − | 0.733700i | \(-0.262208\pi\) | |||||||
\(654\) | −0.321774 | − | 0.0734427i | −0.0125823 | − | 0.00287184i | ||||
\(655\) | 5.21941 | + | 10.8382i | 0.203939 | + | 0.423484i | ||||
\(656\) | −6.41480 | + | 4.03069i | −0.250456 | + | 0.157372i | ||||
\(657\) | 0.509456 | − | 0.0574019i | 0.0198758 | − | 0.00223946i | ||||
\(658\) | −0.778117 | + | 0.272275i | −0.0303341 | + | 0.0106144i | ||||
\(659\) | −19.7484 | + | 24.7637i | −0.769288 | + | 0.964657i | −0.999965 | − | 0.00837368i | \(-0.997335\pi\) |
0.230677 | + | 0.973030i | \(0.425906\pi\) | |||||||
\(660\) | −21.3423 | − | 13.4103i | −0.830748 | − | 0.521993i | ||||
\(661\) | −5.46137 | − | 11.3407i | −0.212423 | − | 0.441100i | 0.767346 | − | 0.641233i | \(-0.221577\pi\) |
−0.979769 | + | 0.200133i | \(0.935863\pi\) | |||||||
\(662\) | −3.41310 | + | 1.64366i | −0.132654 | + | 0.0638828i | ||||
\(663\) | 17.6262 | + | 32.9814i | 0.684545 | + | 1.28089i | ||||
\(664\) | 0.0282269 | + | 0.123670i | 0.00109542 | + | 0.00479933i | ||||
\(665\) | −1.11249 | − | 0.253919i | −0.0431406 | − | 0.00984656i | ||||
\(666\) | 3.28201 | + | 0.369794i | 0.127175 | + | 0.0143292i | ||||
\(667\) | 9.52934 | + | 11.9494i | 0.368978 | + | 0.462683i | ||||
\(668\) | 7.71027 | + | 12.2708i | 0.298319 | + | 0.474773i | ||||
\(669\) | 4.53891 | − | 7.22363i | 0.175484 | − | 0.279282i | ||||
\(670\) | −4.79471 | + | 42.5543i | −0.185236 | + | 1.64401i | ||||
\(671\) | 7.35254 | + | 15.2677i | 0.283842 | + | 0.589403i | ||||
\(672\) | −0.560778 | − | 1.16447i | −0.0216325 | − | 0.0449203i | ||||
\(673\) | −3.29304 | + | 5.24085i | −0.126937 | + | 0.202020i | −0.904146 | − | 0.427223i | \(-0.859492\pi\) |
0.777209 | + | 0.629243i | \(0.216635\pi\) | |||||||
\(674\) | −11.3530 | + | 1.27918i | −0.437302 | + | 0.0492721i | ||||
\(675\) | −1.43834 | + | 0.503295i | −0.0553616 | + | 0.0193718i | ||||
\(676\) | −29.8654 | + | 37.4500i | −1.14867 | + | 1.44038i | ||||
\(677\) | −4.58333 | − | 7.29432i | −0.176152 | − | 0.280344i | 0.746965 | − | 0.664863i | \(-0.231510\pi\) |
−0.923117 | + | 0.384519i | \(0.874367\pi\) | |||||||
\(678\) | 17.1345 | + | 35.5802i | 0.658048 | + | 1.36645i | ||||
\(679\) | −0.0255741 | + | 0.112048i | −0.000981444 | + | 0.00429999i | ||||
\(680\) | 1.94503 | − | 2.66102i | 0.0745886 | − | 0.102045i | ||||
\(681\) | −2.78005 | −0.106532 | ||||||||
\(682\) | − | 13.1788i | − | 0.504644i | ||||||
\(683\) | 12.1664 | − | 4.25720i | 0.465533 | − | 0.162897i | −0.0873122 | − | 0.996181i | \(-0.527828\pi\) |
0.552845 | + | 0.833284i | \(0.313542\pi\) | |||||||
\(684\) | 1.67244 | + | 7.32744i | 0.0639474 | + | 0.280172i | ||||
\(685\) | −28.2921 | − | 3.18775i | −1.08098 | − | 0.121798i | ||||
\(686\) | 3.13732 | − | 0.353491i | 0.119784 | − | 0.0134964i | ||||
\(687\) | −20.9404 | − | 20.9404i | −0.798924 | − | 0.798924i | ||||
\(688\) | 3.36844 | − | 28.2664i | 0.128420 | − | 1.07765i | ||||
\(689\) | 3.90750i | 0.148864i | ||||||||
\(690\) | −22.1403 | + | 2.49462i | −0.842869 | + | 0.0949685i | ||||
\(691\) | 5.09973 | − | 45.2614i | 0.194003 | − | 1.72182i | −0.399279 | − | 0.916830i | \(-0.630739\pi\) |
0.593282 | − | 0.804995i | \(-0.297832\pi\) | |||||||
\(692\) | −12.8294 | − | 8.06126i | −0.487702 | − | 0.306443i | ||||
\(693\) | −0.421777 | − | 0.203117i | −0.0160220 | − | 0.00771578i | ||||
\(694\) | 0.720365 | − | 0.720365i | 0.0273447 | − | 0.0273447i | ||||
\(695\) | 33.0687i | 1.25437i | ||||||||
\(696\) | 2.01201 | + | 0.968935i | 0.0762652 | + | 0.0367274i | ||||
\(697\) | −6.60842 | − | 2.84703i | −0.250312 | − | 0.107839i | ||||
\(698\) | 22.2284 | − | 10.7046i | 0.841357 | − | 0.405176i | ||||
\(699\) | −22.5857 | − | 5.15504i | −0.854269 | − | 0.194981i | ||||
\(700\) | 0.00632211 | + | 0.0561103i | 0.000238953 | + | 0.00212077i | ||||
\(701\) | −12.7333 | − | 6.13202i | −0.480929 | − | 0.231603i | 0.177680 | − | 0.984088i | \(-0.443141\pi\) |
−0.658609 | + | 0.752485i | \(0.728855\pi\) | |||||||
\(702\) | 7.76039 | + | 68.8753i | 0.292897 | + | 2.59953i | ||||
\(703\) | −4.46757 | + | 7.11010i | −0.168498 | + | 0.268163i | ||||
\(704\) | −26.8797 | − | 9.40560i | −1.01307 | − | 0.354487i | ||||
\(705\) | 4.97740 | + | 10.3357i | 0.187460 | + | 0.389264i | ||||
\(706\) | −17.2414 | + | 13.7496i | −0.648890 | + | 0.517473i | ||||
\(707\) | 0.528543 | − | 0.841172i | 0.0198779 | − | 0.0316355i | ||||
\(708\) | −28.9546 | + | 18.1934i | −1.08818 | + | 0.683749i | ||||
\(709\) | 45.0694 | + | 5.07810i | 1.69262 | + | 0.190712i | 0.904988 | − | 0.425438i | \(-0.139880\pi\) |
0.787629 | + | 0.616150i | \(0.211309\pi\) | |||||||
\(710\) | 21.6232 | + | 27.1147i | 0.811506 | + | 1.01760i | ||||
\(711\) | 5.17817 | + | 8.24101i | 0.194197 | + | 0.309062i | ||||
\(712\) | −0.565892 | + | 0.129161i | −0.0212077 | + | 0.00484052i | ||||
\(713\) | −3.45226 | − | 4.32900i | −0.129288 | − | 0.162122i | ||||
\(714\) | 0.666701 | − | 1.16715i | 0.0249506 | − | 0.0436797i | ||||
\(715\) | −54.5052 | + | 26.2483i | −2.03838 | + | 0.981632i | ||||
\(716\) | −20.4433 | + | 4.66606i | −0.764004 | + | 0.174379i | ||||
\(717\) | 4.06362 | + | 36.0656i | 0.151759 | + | 1.34689i | ||||
\(718\) | 20.8067 | + | 10.0200i | 0.776500 | + | 0.373943i | ||||
\(719\) | −3.35167 | − | 29.7469i | −0.124996 | − | 1.10937i | −0.886991 | − | 0.461787i | \(-0.847208\pi\) |
0.761995 | − | 0.647583i | \(-0.224220\pi\) | |||||||
\(720\) | 7.30844 | − | 4.59220i | 0.272369 | − | 0.171141i | ||||
\(721\) | −1.20651 | − | 0.422175i | −0.0449327 | − | 0.0157226i | ||||
\(722\) | −3.03041 | − | 0.691672i | −0.112780 | − | 0.0257414i | ||||
\(723\) | 11.7200 | − | 24.3368i | 0.435872 | − | 0.905097i | ||||
\(724\) | 4.63080 | + | 4.63080i | 0.172102 | + | 0.172102i | ||||
\(725\) | −0.801876 | − | 0.801876i | −0.0297809 | − | 0.0297809i | ||||
\(726\) | 22.9335 | − | 8.02476i | 0.851140 | − | 0.297827i | ||||
\(727\) | 1.46406 | + | 6.41445i | 0.0542988 | + | 0.237899i | 0.994794 | − | 0.101909i | \(-0.0324951\pi\) |
−0.940495 | + | 0.339808i | \(0.889638\pi\) | |||||||
\(728\) | −0.265198 | − | 0.0298806i | −0.00982889 | − | 0.00110745i | ||||
\(729\) | 23.0243 | + | 18.3613i | 0.852754 | + | 0.680048i | ||||
\(730\) | −2.38135 | −0.0881378 | ||||||||
\(731\) | 23.9265 | − | 12.5906i | 0.884954 | − | 0.465679i | ||||
\(732\) | −10.0111 | −0.370021 | ||||||||
\(733\) | −8.06986 | − | 6.43550i | −0.298067 | − | 0.237701i | 0.463024 | − | 0.886346i | \(-0.346764\pi\) |
−0.761091 | + | 0.648645i | \(0.775336\pi\) | |||||||
\(734\) | −10.0286 | − | 1.12995i | −0.370163 | − | 0.0417074i | ||||
\(735\) | −4.88346 | − | 21.3958i | −0.180129 | − | 0.789197i | ||||
\(736\) | −26.5429 | + | 9.28776i | −0.978384 | + | 0.342351i | ||||
\(737\) | −31.5843 | − | 31.5843i | −1.16342 | − | 1.16342i | ||||
\(738\) | −2.20254 | − | 2.20254i | −0.0810767 | − | 0.0810767i | ||||
\(739\) | 4.78290 | − | 9.93179i | 0.175942 | − | 0.365347i | −0.794285 | − | 0.607545i | \(-0.792154\pi\) |
0.970227 | + | 0.242199i | \(0.0778686\pi\) | |||||||
\(740\) | −7.10890 | − | 1.62256i | −0.261328 | − | 0.0596465i | ||||
\(741\) | −38.8480 | − | 13.5935i | −1.42712 | − | 0.499370i | ||||
\(742\) | 0.118922 | − | 0.0747239i | 0.00436578 | − | 0.00274320i | ||||
\(743\) | −4.39577 | − | 39.0135i | −0.161265 | − | 1.43127i | −0.770077 | − | 0.637952i | \(-0.779782\pi\) |
0.608812 | − | 0.793315i | \(-0.291647\pi\) | |||||||
\(744\) | −0.728906 | − | 0.351023i | −0.0267230 | − | 0.0128691i | ||||
\(745\) | −4.84649 | − | 43.0138i | −0.177562 | − | 1.57590i | ||||
\(746\) | 51.3012 | − | 11.7092i | 1.87827 | − | 0.428703i | ||||
\(747\) | −0.284258 | + | 0.136892i | −0.0104005 | + | 0.00500860i | ||||
\(748\) | −8.71037 | − | 31.9181i | −0.318483 | − | 1.16704i | ||||
\(749\) | 0.910027 | + | 1.14114i | 0.0332516 | + | 0.0416962i | ||||
\(750\) | 31.5063 | − | 7.19110i | 1.15045 | − | 0.262582i | ||||
\(751\) | −13.7110 | − | 21.8210i | −0.500322 | − | 0.796258i | 0.497124 | − | 0.867679i | \(-0.334389\pi\) |
−0.997446 | + | 0.0714213i | \(0.977247\pi\) | |||||||
\(752\) | 9.88481 | + | 12.3952i | 0.360462 | + | 0.452005i | ||||
\(753\) | 40.6792 | + | 4.58344i | 1.48243 | + | 0.167030i | ||||
\(754\) | −43.6743 | + | 27.4424i | −1.59052 | + | 0.999392i | ||||
\(755\) | 16.2350 | − | 25.8378i | 0.590852 | − | 0.940335i | ||||
\(756\) | 0.925788 | − | 0.738291i | 0.0336706 | − | 0.0268514i | ||||
\(757\) | 0.747714 | + | 1.55264i | 0.0271761 | + | 0.0564318i | 0.914115 | − | 0.405455i | \(-0.132887\pi\) |
−0.886939 | + | 0.461887i | \(0.847173\pi\) | |||||||
\(758\) | −37.1994 | − | 13.0166i | −1.35114 | − | 0.472785i | ||||
\(759\) | 12.3642 | − | 19.6775i | 0.448791 | − | 0.714246i | ||||
\(760\) | 0.406167 | + | 3.60483i | 0.0147332 | + | 0.130761i | ||||
\(761\) | −3.88432 | − | 1.87059i | −0.140806 | − | 0.0678088i | 0.362154 | − | 0.932118i | \(-0.382042\pi\) |
−0.502960 | + | 0.864310i | \(0.667756\pi\) | |||||||
\(762\) | 2.78875 | + | 24.7509i | 0.101026 | + | 0.896630i | ||||
\(763\) | 0.0131940 | + | 0.00301143i | 0.000477653 | + | 0.000109021i | ||||
\(764\) | −2.85508 | + | 1.37493i | −0.103293 | + | 0.0497433i | ||||
\(765\) | 7.52904 | + | 3.24364i | 0.272213 | + | 0.117274i | ||||
\(766\) | 48.3367 | + | 23.2777i | 1.74648 | + | 0.841059i | ||||
\(767\) | 82.0738i | 2.96351i | ||||||||
\(768\) | −18.9691 | + | 18.9691i | −0.684488 | + | 0.684488i | ||||
\(769\) | −42.0846 | − | 20.2669i | −1.51761 | − | 0.730842i | −0.524876 | − | 0.851178i | \(-0.675888\pi\) |
−0.992733 | + | 0.120336i | \(0.961603\pi\) | |||||||
\(770\) | 1.84117 | + | 1.15688i | 0.0663511 | + | 0.0416911i | ||||
\(771\) | 0.493677 | − | 4.38150i | 0.0177793 | − | 0.157796i | ||||
\(772\) | 24.1803 | − | 2.72446i | 0.870267 | − | 0.0980556i | ||||
\(773\) | − | 41.9450i | − | 1.50866i | −0.656498 | − | 0.754328i | \(-0.727963\pi\) | ||
0.656498 | − | 0.754328i | \(-0.272037\pi\) | |||||||
\(774\) | 11.6384 | − | 1.23586i | 0.418335 | − | 0.0444221i | ||||
\(775\) | 0.290501 | + | 0.290501i | 0.0104351 | + | 0.0104351i | ||||
\(776\) | 0.363070 | − | 0.0409081i | 0.0130334 | − | 0.00146852i | ||||
\(777\) | 0.307048 | + | 0.0345960i | 0.0110153 | + | 0.00124112i | ||||
\(778\) | 15.6463 | + | 68.5509i | 0.560947 | + | 2.45767i | ||||
\(779\) | 7.47501 | − | 2.61562i | 0.267820 | − | 0.0937143i | ||||
\(780\) | − | 35.7393i | − | 1.27967i | ||||||
\(781\) | −36.1739 | −1.29440 | ||||||||
\(782\) | −23.6107 | − | 17.2579i | −0.844318 | − | 0.617142i | ||||
\(783\) | −5.29188 | + | 23.1852i | −0.189116 | + | 0.828573i | ||||
\(784\) | −13.1595 | − | 27.3260i | −0.469982 | − | 0.975927i | ||||
\(785\) | −14.7052 | − | 23.4031i | −0.524850 | − | 0.835294i | ||||
\(786\) | 9.72359 | − | 12.1930i | 0.346829 | − | 0.434910i | ||||
\(787\) | 5.82062 | − | 2.03672i | 0.207483 | − | 0.0726014i | −0.224537 | − | 0.974466i | \(-0.572087\pi\) |
0.432020 | + | 0.901864i | \(0.357801\pi\) | |||||||
\(788\) | −23.9627 | + | 2.69995i | −0.853636 | + | 0.0961817i | ||||
\(789\) | −14.6482 | + | 23.3125i | −0.521489 | + | 0.829945i | ||||
\(790\) | −19.6151 | − | 40.7311i | −0.697873 | − | 1.44915i | ||||
\(791\) | −0.702581 | − | 1.45892i | −0.0249809 | − | 0.0518734i | ||||
\(792\) | −0.166630 | + | 1.47888i | −0.00592094 | + | 0.0525498i | ||||
\(793\) | −12.7835 | + | 20.3448i | −0.453955 | + | 0.722464i | ||||
\(794\) | 29.8753 | + | 47.5462i | 1.06023 | + | 1.68735i | ||||
\(795\) | −1.21858 | − | 1.52805i | −0.0432186 | − | 0.0541944i | ||||
\(796\) | −28.4833 | − | 3.20929i | −1.00956 | − | 0.113750i | ||||
\(797\) | 23.4175 | + | 5.34490i | 0.829492 | + | 0.189326i | 0.616127 | − | 0.787646i | \(-0.288701\pi\) |
0.213365 | + | 0.976973i | \(0.431558\pi\) | |||||||
\(798\) | 0.329188 | + | 1.44227i | 0.0116531 | + | 0.0510557i | ||||
\(799\) | −4.37201 | + | 14.4093i | −0.154671 | + | 0.509763i | ||||
\(800\) | 1.87987 | − | 0.905299i | 0.0664636 | − | 0.0320072i | ||||
\(801\) | −0.626391 | − | 1.30071i | −0.0221324 | − | 0.0459585i | ||||
\(802\) | 53.8067 | + | 33.8090i | 1.89998 | + | 1.19384i | ||||
\(803\) | 1.54866 | − | 1.94196i | 0.0546510 | − | 0.0685302i | ||||
\(804\) | 24.9070 | − | 8.71535i | 0.878403 | − | 0.307367i | ||||
\(805\) | 0.907839 | − | 0.102289i | 0.0319971 | − | 0.00360521i | ||||
\(806\) | 15.8222 | − | 9.94173i | 0.557312 | − | 0.350183i | ||||
\(807\) | 4.55871 | + | 9.46626i | 0.160474 | + | 0.333228i | ||||
\(808\) | −3.07904 | − | 0.702770i | −0.108320 | − | 0.0247234i | ||||
\(809\) | 14.2975 | + | 40.8600i | 0.502675 | + | 1.43656i | 0.863700 | + | 0.504006i | \(0.168141\pi\) |
−0.361025 | + | 0.932556i | \(0.617573\pi\) | |||||||
\(810\) | −16.2792 | − | 16.2792i | −0.571993 | − | 0.571993i | ||||
\(811\) | 16.2598 | − | 16.2598i | 0.570959 | − | 0.570959i | −0.361438 | − | 0.932396i | \(-0.617714\pi\) |
0.932396 | + | 0.361438i | \(0.117714\pi\) | |||||||
\(812\) | 0.793942 | + | 0.382342i | 0.0278619 | + | 0.0134176i | ||||
\(813\) | 13.0687 | + | 8.21158i | 0.458338 | + | 0.287993i | ||||
\(814\) | 12.5105 | − | 9.97677i | 0.438492 | − | 0.349685i | ||||
\(815\) | −5.52394 | + | 6.92680i | −0.193495 | + | 0.242635i | ||||
\(816\) | −25.4212 | − | 4.68865i | −0.889920 | − | 0.164136i | ||||
\(817\) | −10.0078 | + | 28.0233i | −0.350129 | + | 0.980410i | ||||
\(818\) | − | 0.619443i | − | 0.0216583i | ||||||
\(819\) | −0.0743191 | − | 0.659600i | −0.00259692 | − | 0.0230483i | ||||
\(820\) | 4.28764 | + | 5.37654i | 0.149731 | + | 0.187757i | ||||
\(821\) | −13.7438 | − | 8.63580i | −0.479662 | − | 0.301391i | 0.270413 | − | 0.962744i | \(-0.412840\pi\) |
−0.750075 | + | 0.661353i | \(0.769983\pi\) | |||||||
\(822\) | 12.1908 | + | 34.8394i | 0.425205 | + | 1.21516i | ||||
\(823\) | 2.80329 | + | 2.80329i | 0.0977166 | + | 0.0977166i | 0.754275 | − | 0.656558i | \(-0.227988\pi\) |
−0.656558 | + | 0.754275i | \(0.727988\pi\) | |||||||
\(824\) | 4.06360i | 0.141562i | ||||||||
\(825\) | −0.748151 | + | 1.55355i | −0.0260473 | + | 0.0540877i | ||||
\(826\) | 2.49787 | − | 1.56951i | 0.0869119 | − | 0.0546104i | ||||
\(827\) | 7.79927 | + | 2.72908i | 0.271207 | + | 0.0948995i | 0.462456 | − | 0.886642i | \(-0.346968\pi\) |
−0.191249 | + | 0.981542i | \(0.561254\pi\) | |||||||
\(828\) | −3.20141 | − | 5.09501i | −0.111257 | − | 0.177064i | ||||
\(829\) | 11.3099 | − | 14.1822i | 0.392811 | − | 0.492569i | −0.545622 | − | 0.838031i | \(-0.683707\pi\) |
0.938433 | + | 0.345463i | \(0.112278\pi\) | |||||||
\(830\) | 1.38325 | − | 0.484019i | 0.0480132 | − | 0.0168005i | ||||
\(831\) | −17.7318 | − | 14.1407i | −0.615110 | − | 0.490534i | ||||
\(832\) | −8.98511 | − | 39.3663i | −0.311503 | − | 1.36478i | ||||
\(833\) | 14.2881 | − | 25.0134i | 0.495054 | − | 0.866663i | ||||
\(834\) | 38.6257 | − | 18.6011i | 1.33750 | − | 0.644105i | ||||
\(835\) | −13.6019 | + | 10.8472i | −0.470714 | + | 0.375382i | ||||
\(836\) | 30.8321 | + | 19.3731i | 1.06635 | + | 0.670032i | ||||
\(837\) | 1.91713 | − | 8.39947i | 0.0662655 | − | 0.290328i | ||||
\(838\) | −47.4037 | − | 5.34112i | −1.63754 | − | 0.184506i | ||||
\(839\) | −2.10382 | + | 18.6719i | −0.0726318 | + | 0.644625i | 0.903673 | + | 0.428224i | \(0.140860\pi\) |
−0.976305 | + | 0.216401i | \(0.930568\pi\) | |||||||
\(840\) | 0.113026 | − | 0.0710188i | 0.00389976 | − | 0.00245038i | ||||
\(841\) | 11.0188 | − | 2.51498i | 0.379960 | − | 0.0867233i | ||||
\(842\) | −20.6260 | + | 16.4487i | −0.710820 | + | 0.566860i | ||||
\(843\) | 23.6735 | + | 8.28373i | 0.815360 | + | 0.285307i | ||||
\(844\) | 35.6590 | + | 12.4776i | 1.22743 | + | 0.429498i | ||||
\(845\) | −48.6895 | − | 30.5937i | −1.67497 | − | 1.05245i | ||||
\(846\) | −4.06412 | + | 5.09624i | −0.139727 | + | 0.175212i | ||||
\(847\) | −0.940359 | + | 0.329046i | −0.0323111 | + | 0.0113062i | ||||
\(848\) | −2.11177 | − | 1.68408i | −0.0725186 | − | 0.0578316i | ||||
\(849\) | −10.1403 | + | 44.4277i | −0.348015 | + | 1.52475i | ||||
\(850\) | 1.88421 | + | 1.07630i | 0.0646279 | + | 0.0369166i | ||||
\(851\) | 1.49599 | − | 6.55435i | 0.0512818 | − | 0.224680i | ||||
\(852\) | 9.27227 | − | 19.2541i | 0.317663 | − | 0.659634i | ||||
\(853\) | −5.98983 | + | 5.98983i | −0.205088 | + | 0.205088i | −0.802176 | − | 0.597088i | \(-0.796324\pi\) |
0.597088 | + | 0.802176i | \(0.296324\pi\) | |||||||
\(854\) | 0.863643 | 0.0295532 | ||||||||
\(855\) | −8.51635 | + | 2.98000i | −0.291253 | + | 0.101914i | ||||
\(856\) | 2.46867 | − | 3.92886i | 0.0843773 | − | 0.134286i | ||||
\(857\) | 6.39103 | − | 56.7219i | 0.218313 | − | 1.93758i | −0.111991 | − | 0.993709i | \(-0.535723\pi\) |
0.330304 | − | 0.943875i | \(-0.392849\pi\) | |||||||
\(858\) | 61.3183 | + | 48.8997i | 2.09337 | + | 1.66941i | ||||
\(859\) | − | 22.7429i | − | 0.775978i | −0.921664 | − | 0.387989i | \(-0.873170\pi\) | ||
0.921664 | − | 0.387989i | \(-0.126830\pi\) | |||||||
\(860\) | −25.8387 | − | 0.165590i | −0.881094 | − | 0.00564656i | ||||
\(861\) | −0.206058 | − | 0.206058i | −0.00702245 | − | 0.00702245i | ||||
\(862\) | −4.40159 | − | 39.0652i | −0.149919 | − | 1.33057i | ||||
\(863\) | −15.0112 | − | 18.8234i | −0.510987 | − | 0.640757i | 0.457681 | − | 0.889116i | \(-0.348680\pi\) |
−0.968668 | + | 0.248359i | \(0.920109\pi\) | |||||||
\(864\) | −37.0491 | − | 23.2795i | −1.26044 | − | 0.791984i | ||||
\(865\) | 7.89212 | − | 16.3882i | 0.268340 | − | 0.557214i | ||||
\(866\) | −45.7952 | −1.55619 | ||||||||
\(867\) | −10.0252 | − | 22.4119i | −0.340475 | − | 0.761149i | ||||
\(868\) | −0.287627 | − | 0.138514i | −0.00976269 | − | 0.00470146i | ||||
\(869\) | 45.9719 | + | 10.4928i | 1.55949 | + | 0.355943i | ||||
\(870\) | 8.52100 | − | 24.3516i | 0.288889 | − | 0.825597i | ||||
\(871\) | 14.0930 | − | 61.7455i | 0.477523 | − | 2.09217i | ||||
\(872\) | −0.00481706 | − | 0.0427526i | −0.000163126 | − | 0.00144779i | ||||
\(873\) | 0.300138 | + | 0.857745i | 0.0101581 | + | 0.0290303i | ||||
\(874\) | 31.9850 | − | 3.60384i | 1.08191 | − | 0.121902i | ||||
\(875\) | −1.29188 | + | 0.294863i | −0.0436735 | + | 0.00996818i | ||||
\(876\) | 0.636676 | + | 1.32207i | 0.0215113 | + | 0.0446686i | ||||
\(877\) | 47.2377 | + | 16.5292i | 1.59510 | + | 0.558151i | 0.974190 | − | 0.225729i | \(-0.0724764\pi\) |
0.620913 | + | 0.783880i | \(0.286762\pi\) | |||||||
\(878\) | −0.748545 | + | 6.64352i | −0.0252622 | + | 0.224208i | ||||
\(879\) | −23.5701 | − | 14.8101i | −0.794999 | − | 0.499531i | ||||
\(880\) | 9.30539 | − | 40.7696i | 0.313685 | − | 1.37434i | ||||
\(881\) | 20.3072 | + | 2.28807i | 0.684167 | + | 0.0770871i | 0.447205 | − | 0.894432i | \(-0.352420\pi\) |
0.236963 | + | 0.971519i | \(0.423848\pi\) | |||||||
\(882\) | 9.74938 | − | 7.77487i | 0.328279 | − | 0.261793i | ||||
\(883\) | 2.65294 | − | 11.6233i | 0.0892785 | − | 0.391155i | −0.910470 | − | 0.413575i | \(-0.864280\pi\) |
0.999749 | + | 0.0224202i | \(0.00713717\pi\) | |||||||
\(884\) | 31.7492 | − | 34.5355i | 1.06784 | − | 1.16156i | ||||
\(885\) | −25.5953 | − | 32.0955i | −0.860376 | − | 1.07888i | ||||
\(886\) | −12.0716 | − | 25.0670i | −0.405554 | − | 0.842141i | ||||
\(887\) | −8.53557 | + | 24.3933i | −0.286597 | + | 0.819046i | 0.707117 | + | 0.707096i | \(0.249995\pi\) |
−0.993714 | + | 0.111950i | \(0.964290\pi\) | |||||||
\(888\) | −0.218583 | − | 0.957674i | −0.00733516 | − | 0.0321374i | ||||
\(889\) | −0.114350 | − | 1.01488i | −0.00383516 | − | 0.0340380i | ||||
\(890\) | 2.21478 | + | 6.32948i | 0.0742397 | + | 0.212165i | ||||
\(891\) | 23.8623 | − | 2.68864i | 0.799417 | − | 0.0900727i | ||||
\(892\) | −10.4338 | − | 2.38145i | −0.349350 | − | 0.0797369i | ||||
\(893\) | −7.19059 | − | 14.9314i | −0.240624 | − | 0.499661i | ||||
\(894\) | −47.5158 | + | 29.8561i | −1.58917 | + | 0.998539i | ||||
\(895\) | −8.31411 | − | 23.7603i | −0.277910 | − | 0.794221i | ||||
\(896\) | 0.239328 | − | 0.239328i | 0.00799540 | − | 0.00799540i | ||||
\(897\) | 32.9514 | 1.10022 | ||||||||
\(898\) | −4.51531 | + | 1.57998i | −0.150678 | + | 0.0527245i | ||||
\(899\) | 6.25076 | − | 1.42669i | 0.208474 | − | 0.0475829i | ||||
\(900\) | 0.278369 | + | 0.349064i | 0.00927898 | + | 0.0116355i | ||||
\(901\) | 0.179917 | − | 2.55912i | 0.00599392 | − | 0.0852565i | ||||
\(902\) | −15.0911 | −0.502478 | ||||||||
\(903\) | 1.08883 | − | 0.115621i | 0.0362341 | − | 0.00384761i | ||||
\(904\) | −3.64005 | + | 3.64005i | −0.121066 | + | 0.121066i | ||||
\(905\) | −4.90180 | + | 6.14666i | −0.162941 | + | 0.204322i | ||||
\(906\) | −39.3119 | − | 4.42938i | −1.30605 | − | 0.147156i | ||||
\(907\) | −15.4983 | + | 24.6654i | −0.514612 | + | 0.819001i | −0.998421 | − | 0.0561729i | \(-0.982110\pi\) |
0.483809 | + | 0.875174i | \(0.339253\pi\) | |||||||
\(908\) | 1.15184 | + | 3.29176i | 0.0382250 | + | 0.109241i | ||||
\(909\) | − | 7.85512i | − | 0.260538i | ||||||
\(910\) | 3.08318i | 0.102206i | ||||||||
\(911\) | 10.8274 | + | 30.9428i | 0.358727 | + | 1.02518i | 0.971933 | + | 0.235259i | \(0.0755938\pi\) |
−0.613206 | + | 0.789923i | \(0.710120\pi\) | |||||||
\(912\) | 24.0895 | − | 15.1364i | 0.797683 | − | 0.501218i | ||||
\(913\) | −0.504853 | + | 1.44279i | −0.0167082 | + | 0.0477493i | ||||
\(914\) | 6.39865 | − | 28.0343i | 0.211648 | − | 0.927293i | ||||
\(915\) | −1.34560 | − | 11.9426i | −0.0444843 | − | 0.394809i | ||||
\(916\) | −16.1187 | + | 33.4708i | −0.532577 | + | 1.10591i | ||||
\(917\) | −0.398704 | + | 0.499959i | −0.0131664 | + | 0.0165101i | ||||
\(918\) | −1.91116 | − | 45.4655i | −0.0630777 | − | 1.50058i | ||||
\(919\) | −42.1059 | + | 20.2771i | −1.38895 | + | 0.668881i | −0.970887 | − | 0.239539i | \(-0.923004\pi\) |
−0.418059 | + | 0.908420i | \(0.637289\pi\) | |||||||
\(920\) | −1.26015 | − | 2.61672i | −0.0415458 | − | 0.0862708i | ||||
\(921\) | −37.2929 | − | 4.20190i | −1.22884 | − | 0.138457i | ||||
\(922\) | −14.6212 | − | 64.0598i | −0.481525 | − | 2.10970i | ||||
\(923\) | −27.2885 | − | 43.4294i | −0.898212 | − | 1.42950i | ||||
\(924\) | 0.150021 | − | 1.33148i | 0.00493534 | − | 0.0438023i | ||||
\(925\) | −0.0558504 | + | 0.495686i | −0.00183635 | + | 0.0162981i | ||||
\(926\) | −57.7112 | − | 13.1722i | −1.89651 | − | 0.432865i | ||||
\(927\) | −9.85359 | + | 2.24902i | −0.323634 | + | 0.0738674i | ||||
\(928\) | 3.64583 | − | 32.3576i | 0.119680 | − | 1.06219i | ||||
\(929\) | −16.0568 | − | 5.61851i | −0.526806 | − | 0.184337i | 0.0537553 | − | 0.998554i | \(-0.482881\pi\) |
−0.580561 | + | 0.814217i | \(0.697167\pi\) | |||||||
\(930\) | −3.08696 | + | 8.82203i | −0.101225 | + | 0.289286i | ||||
\(931\) | 7.05487 | + | 30.9094i | 0.231214 | + | 1.01301i | ||||
\(932\) | 3.25386 | + | 28.8788i | 0.106584 | + | 0.945956i | ||||
\(933\) | −11.1025 | + | 23.0546i | −0.363479 | + | 0.754773i | ||||
\(934\) | −17.3695 | + | 21.7806i | −0.568346 | + | 0.712683i | ||||
\(935\) | 36.9054 | − | 14.6810i | 1.20694 | − | 0.480121i | ||||
\(936\) | −1.90121 | + | 0.915574i | −0.0621430 | + | 0.0299265i | ||||
\(937\) | 2.93687 | + | 0.670321i | 0.0959433 | + | 0.0218984i | 0.270223 | − | 0.962798i | \(-0.412903\pi\) |
−0.174280 | + | 0.984696i | \(0.555760\pi\) | |||||||
\(938\) | −2.14869 | + | 0.751859i | −0.0701572 | + | 0.0245491i | ||||
\(939\) | −38.8824 | −1.26888 | ||||||||
\(940\) | 10.1759 | − | 10.1759i | 0.331901 | − | 0.331901i | ||||
\(941\) | −16.8517 | − | 48.1593i | −0.549348 | − | 1.56995i | −0.798823 | − | 0.601566i | \(-0.794544\pi\) |
0.249475 | − | 0.968381i | \(-0.419742\pi\) | |||||||
\(942\) | −19.0642 | + | 30.3405i | −0.621145 | + | 0.988547i | ||||
\(943\) | −4.95713 | + | 3.95318i | −0.161426 | + | 0.128733i | ||||
\(944\) | −44.3561 | − | 35.3728i | −1.44367 | − | 1.15129i | ||||
\(945\) | 1.00517 | + | 1.00517i | 0.0326981 | + | 0.0326981i | ||||
\(946\) | 35.6375 | − | 44.1052i | 1.15868 | − | 1.43398i | ||||
\(947\) | 18.4626 | − | 18.4626i | 0.599954 | − | 0.599954i | −0.340346 | − | 0.940300i | \(-0.610544\pi\) |
0.940300 | + | 0.340346i | \(0.110544\pi\) | |||||||
\(948\) | −17.3687 | + | 21.7796i | −0.564109 | + | 0.707370i | ||||
\(949\) | 3.49973 | + | 0.394325i | 0.113606 | + | 0.0128003i | ||||
\(950\) | −2.32834 | + | 0.531429i | −0.0755414 | + | 0.0172418i | ||||
\(951\) | 39.8834 | + | 19.2068i | 1.29331 | + | 0.622824i | ||||
\(952\) | 0.172309 | + | 0.0317804i | 0.00558457 | + | 0.00103001i | ||||
\(953\) | 51.9028 | 1.68130 | 0.840648 | − | 0.541582i | \(-0.182175\pi\) | ||||
0.840648 | + | 0.541582i | \(0.182175\pi\) | |||||||
\(954\) | 0.481843 | − | 1.00056i | 0.0156002 | − | 0.0323942i | ||||
\(955\) | −2.02395 | − | 3.22110i | −0.0654936 | − | 0.104233i | ||||
\(956\) | 41.0204 | − | 19.7544i | 1.32669 | − | 0.638902i | ||||
\(957\) | 14.3170 | + | 22.7853i | 0.462801 | + | 0.736544i | ||||
\(958\) | −80.1366 | + | 9.02923i | −2.58910 | + | 0.291721i | ||||
\(959\) | −0.499871 | − | 1.42855i | −0.0161417 | − | 0.0461303i | ||||
\(960\) | 15.7904 | + | 12.5924i | 0.509632 | + | 0.406418i | ||||
\(961\) | 27.9583 | − | 6.38129i | 0.901879 | − | 0.205848i | ||||
\(962\) | 21.4154 | + | 7.49356i | 0.690459 | + | 0.241602i | ||||
\(963\) | 10.8931 | + | 3.81168i | 0.351027 | + | 0.122830i | ||||
\(964\) | −33.6723 | − | 3.79396i | −1.08451 | − | 0.122195i | ||||
\(965\) | 6.50020 | + | 28.4792i | 0.209249 | + | 0.916779i | ||||
\(966\) | −0.630137 | − | 1.00286i | −0.0202743 | − | 0.0322664i | ||||
\(967\) | 27.7033 | − | 22.0926i | 0.890878 | − | 0.710452i | −0.0669612 | − | 0.997756i | \(-0.521330\pi\) |
0.957839 | + | 0.287304i | \(0.0927590\pi\) | |||||||
\(968\) | 1.97472 | + | 2.47622i | 0.0634698 | + | 0.0795886i | ||||
\(969\) | 24.8166 | + | 10.6914i | 0.797225 | + | 0.343459i | ||||
\(970\) | −0.939267 | − | 4.11520i | −0.0301580 | − | 0.132131i | ||||
\(971\) | 2.16106 | − | 1.72339i | 0.0693516 | − | 0.0553061i | −0.588200 | − | 0.808715i | \(-0.700163\pi\) |
0.657552 | + | 0.753409i | \(0.271592\pi\) | |||||||
\(972\) | 5.46248 | − | 15.6109i | 0.175209 | − | 0.500719i | ||||
\(973\) | −1.58380 | + | 0.762718i | −0.0507743 | + | 0.0244516i | ||||
\(974\) | 5.86521 | + | 3.68536i | 0.187933 | + | 0.118086i | ||||
\(975\) | −2.42954 | + | 0.273743i | −0.0778074 | + | 0.00876679i | ||||
\(976\) | −5.48565 | − | 15.6771i | −0.175591 | − | 0.501811i | ||||
\(977\) | 45.9258 | + | 36.6246i | 1.46930 | + | 1.17172i | 0.947967 | + | 0.318368i | \(0.103135\pi\) |
0.521328 | + | 0.853356i | \(0.325437\pi\) | |||||||
\(978\) | 11.1980 | + | 2.55587i | 0.358073 | + | 0.0817278i | ||||
\(979\) | −6.60194 | − | 2.31012i | −0.210999 | − | 0.0738317i | ||||
\(980\) | −23.3107 | + | 14.6471i | −0.744634 | + | 0.467885i | ||||
\(981\) | 0.101002 | − | 0.0353422i | 0.00322475 | − | 0.00112839i | ||||
\(982\) | 53.8638 | 1.71886 | ||||||||
\(983\) | −27.2994 | + | 27.2994i | −0.870715 | + | 0.870715i | −0.992550 | − | 0.121836i | \(-0.961122\pi\) |
0.121836 | + | 0.992550i | \(0.461122\pi\) | |||||||
\(984\) | −0.401956 | + | 0.834669i | −0.0128139 | + | 0.0266083i | ||||
\(985\) | −6.44171 | − | 28.2230i | −0.205250 | − | 0.899259i | ||||
\(986\) | 29.8669 | − | 15.9617i | 0.951156 | − | 0.508325i | ||||
\(987\) | −0.380217 | + | 0.476778i | −0.0121025 | + | 0.0151760i | ||||
\(988\) | 51.6307i | 1.64259i | ||||||||
\(989\) | 0.152672 | − | 23.8231i | 0.00485470 | − | 0.757532i | ||||
\(990\) | 17.1934 | 0.546442 | ||||||||
\(991\) | −0.0522669 | − | 0.463882i | −0.00166031 | − | 0.0147357i | 0.992855 | − | 0.119329i | \(-0.0380744\pi\) |
−0.994515 | + | 0.104594i | \(0.966646\pi\) | |||||||
\(992\) | −1.32080 | + | 11.7224i | −0.0419354 | + | 0.372187i | ||||
\(993\) | −1.49092 | + | 2.37278i | −0.0473129 | + | 0.0752980i | ||||
\(994\) | −0.799905 | + | 1.66102i | −0.0253714 | + | 0.0526843i | ||||
\(995\) | − | 34.4100i | − | 1.09087i | ||||||
\(996\) | −0.638539 | − | 0.638539i | −0.0202329 | − | 0.0202329i | ||||
\(997\) | −11.3986 | − | 32.5752i | −0.360996 | − | 1.03167i | −0.970961 | − | 0.239239i | \(-0.923102\pi\) |
0.609965 | − | 0.792429i | \(-0.291184\pi\) | |||||||
\(998\) | −12.6501 | − | 20.1326i | −0.400433 | − | 0.637286i | ||||
\(999\) | 9.42481 | − | 4.53875i | 0.298188 | − | 0.143600i |
(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 | 731.2.y.a.4.13 | ✓ | 768 | |
17.13 | even | 4 | inner | 731.2.y.a.47.52 | yes | 768 | |
43.11 | even | 7 | inner | 731.2.y.a.140.52 | yes | 768 | |
731.183 | even | 28 | inner | 731.2.y.a.183.13 | yes | 768 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.y.a.4.13 | ✓ | 768 | 1.1 | even | 1 | trivial | |
731.2.y.a.47.52 | yes | 768 | 17.13 | even | 4 | inner | |
731.2.y.a.140.52 | yes | 768 | 43.11 | even | 7 | inner | |
731.2.y.a.183.13 | yes | 768 | 731.183 | even | 28 | inner |