Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 61.4 | ||
Character | \(\chi\) | \(=\) | 144.61 |
Dual form | 144.2.x.e.85.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.20757 | − | 0.736049i | −0.853883 | − | 0.520465i | ||||
\(3\) | 1.05287 | − | 1.37530i | 0.607877 | − | 0.794031i | ||||
\(4\) | 0.916464 | + | 1.77767i | 0.458232 | + | 0.888833i | ||||
\(5\) | −4.10876 | − | 1.10094i | −1.83750 | − | 0.492355i | −0.838849 | − | 0.544365i | \(-0.816771\pi\) |
−0.998647 | + | 0.0520092i | \(0.983437\pi\) | |||||||
\(6\) | −2.28371 | + | 0.885810i | −0.932321 | + | 0.361631i | ||||
\(7\) | −1.63313 | − | 0.942891i | −0.617267 | − | 0.356379i | 0.158537 | − | 0.987353i | \(-0.449322\pi\) |
−0.775804 | + | 0.630974i | \(0.782656\pi\) | |||||||
\(8\) | 0.201751 | − | 2.82122i | 0.0713297 | − | 0.997453i | ||||
\(9\) | −0.782911 | − | 2.89604i | −0.260970 | − | 0.965347i | ||||
\(10\) | 4.15129 | + | 4.35372i | 1.31275 | + | 1.37677i | ||||
\(11\) | 0.317223 | + | 1.18389i | 0.0956464 | + | 0.356957i | 0.997117 | − | 0.0758838i | \(-0.0241778\pi\) |
−0.901470 | + | 0.432841i | \(0.857511\pi\) | |||||||
\(12\) | 3.40975 | + | 0.611243i | 0.984309 | + | 0.176451i | ||||
\(13\) | 0.620109 | − | 2.31428i | 0.171987 | − | 0.641865i | −0.825058 | − | 0.565048i | \(-0.808858\pi\) |
0.997045 | − | 0.0768171i | \(-0.0244757\pi\) | |||||||
\(14\) | 1.27812 | + | 2.34068i | 0.341591 | + | 0.625572i | ||||
\(15\) | −5.84014 | + | 4.49164i | −1.50792 | + | 1.15974i | ||||
\(16\) | −2.32019 | + | 3.25833i | −0.580047 | + | 0.814583i | ||||
\(17\) | 3.44622 | 0.835831 | 0.417915 | − | 0.908486i | \(-0.362761\pi\) | ||||
0.417915 | + | 0.908486i | \(0.362761\pi\) | |||||||
\(18\) | −1.18621 | + | 4.07344i | −0.279591 | + | 0.960119i | ||||
\(19\) | −4.17726 | − | 4.17726i | −0.958328 | − | 0.958328i | 0.0408377 | − | 0.999166i | \(-0.486997\pi\) |
−0.999166 | + | 0.0408377i | \(0.986997\pi\) | |||||||
\(20\) | −1.80843 | − | 8.31298i | −0.404378 | − | 1.85884i | ||||
\(21\) | −3.01624 | + | 1.25331i | −0.658199 | + | 0.273494i | ||||
\(22\) | 0.488333 | − | 1.66313i | 0.104113 | − | 0.354580i | ||||
\(23\) | 1.34867 | − | 0.778655i | 0.281217 | − | 0.162361i | −0.352757 | − | 0.935715i | \(-0.614756\pi\) |
0.633974 | + | 0.773354i | \(0.281422\pi\) | |||||||
\(24\) | −3.66761 | − | 3.24786i | −0.748649 | − | 0.662967i | ||||
\(25\) | 11.3397 | + | 6.54701i | 2.26795 | + | 1.30940i | ||||
\(26\) | −2.45225 | + | 2.33823i | −0.480925 | + | 0.458564i | ||||
\(27\) | −4.80724 | − | 1.97243i | −0.925153 | − | 0.379594i | ||||
\(28\) | 0.179434 | − | 3.76729i | 0.0339099 | − | 0.711951i | ||||
\(29\) | 1.28135 | − | 0.343336i | 0.237940 | − | 0.0637558i | −0.137878 | − | 0.990449i | \(-0.544028\pi\) |
0.375818 | + | 0.926693i | \(0.377362\pi\) | |||||||
\(30\) | 10.3585 | − | 1.12536i | 1.89119 | − | 0.205461i | ||||
\(31\) | 1.25840 | + | 2.17961i | 0.226015 | + | 0.391469i | 0.956623 | − | 0.291327i | \(-0.0940969\pi\) |
−0.730609 | + | 0.682796i | \(0.760764\pi\) | |||||||
\(32\) | 5.20009 | − | 2.22690i | 0.919254 | − | 0.393665i | ||||
\(33\) | 1.96221 | + | 0.810213i | 0.341576 | + | 0.141040i | ||||
\(34\) | −4.16156 | − | 2.53659i | −0.713702 | − | 0.435021i | ||||
\(35\) | 5.67210 | + | 5.67210i | 0.958760 | + | 0.958760i | ||||
\(36\) | 4.43068 | − | 4.04587i | 0.738447 | − | 0.674312i | ||||
\(37\) | 5.77154 | − | 5.77154i | 0.948836 | − | 0.948836i | −0.0499178 | − | 0.998753i | \(-0.515896\pi\) |
0.998753 | + | 0.0499178i | \(0.0158959\pi\) | |||||||
\(38\) | 1.96968 | + | 8.11900i | 0.319524 | + | 1.31708i | ||||
\(39\) | −2.52993 | − | 3.28948i | −0.405114 | − | 0.526739i | ||||
\(40\) | −3.93494 | + | 11.3696i | −0.622169 | + | 1.79770i | ||||
\(41\) | 3.43245 | − | 1.98173i | 0.536058 | − | 0.309493i | −0.207422 | − | 0.978252i | \(-0.566507\pi\) |
0.743480 | + | 0.668758i | \(0.233174\pi\) | |||||||
\(42\) | 4.56483 | + | 0.706643i | 0.704369 | + | 0.109037i | ||||
\(43\) | 0.793272 | + | 2.96053i | 0.120973 | + | 0.451477i | 0.999664 | − | 0.0259136i | \(-0.00824948\pi\) |
−0.878691 | + | 0.477390i | \(0.841583\pi\) | |||||||
\(44\) | −1.81384 | + | 1.64891i | −0.273447 | + | 0.248583i | ||||
\(45\) | 0.0284289 | + | 12.7611i | 0.00423794 | + | 1.90231i | ||||
\(46\) | −2.20175 | − | 0.0524044i | −0.324630 | − | 0.00772660i | ||||
\(47\) | 0.230692 | − | 0.399570i | 0.0336498 | − | 0.0582832i | −0.848710 | − | 0.528858i | \(-0.822620\pi\) |
0.882360 | + | 0.470575i | \(0.155954\pi\) | |||||||
\(48\) | 2.03833 | + | 6.62157i | 0.294207 | + | 0.955742i | ||||
\(49\) | −1.72191 | − | 2.98244i | −0.245988 | − | 0.426063i | ||||
\(50\) | −8.87466 | − | 16.2526i | −1.25507 | − | 2.29846i | ||||
\(51\) | 3.62844 | − | 4.73959i | 0.508083 | − | 0.663676i | ||||
\(52\) | 4.68232 | − | 1.01861i | 0.649321 | − | 0.141255i | ||||
\(53\) | 5.61507 | − | 5.61507i | 0.771289 | − | 0.771289i | −0.207043 | − | 0.978332i | \(-0.566384\pi\) |
0.978332 | + | 0.207043i | \(0.0663838\pi\) | |||||||
\(54\) | 4.35329 | + | 5.92021i | 0.592407 | + | 0.805639i | ||||
\(55\) | − | 5.21358i | − | 0.702999i | ||||||
\(56\) | −2.98959 | + | 4.41721i | −0.399501 | + | 0.590274i | ||||
\(57\) | −10.1431 | + | 1.34686i | −1.34349 | + | 0.178396i | ||||
\(58\) | −1.80003 | − | 0.528530i | −0.236355 | − | 0.0693994i | ||||
\(59\) | −10.9262 | − | 2.92766i | −1.42247 | − | 0.381148i | −0.536108 | − | 0.844150i | \(-0.680106\pi\) |
−0.886358 | + | 0.463001i | \(0.846773\pi\) | |||||||
\(60\) | −13.3369 | − | 6.26538i | −1.72179 | − | 0.808857i | ||||
\(61\) | −4.74261 | + | 1.27078i | −0.607229 | + | 0.162707i | −0.549316 | − | 0.835615i | \(-0.685112\pi\) |
−0.0579138 | + | 0.998322i | \(0.518445\pi\) | |||||||
\(62\) | 0.0846915 | − | 3.55828i | 0.0107558 | − | 0.451902i | ||||
\(63\) | −1.45205 | + | 5.46782i | −0.182941 | + | 0.688881i | ||||
\(64\) | −7.91859 | − | 1.13837i | −0.989824 | − | 0.142296i | ||||
\(65\) | −5.09576 | + | 8.82612i | −0.632052 | + | 1.09475i | ||||
\(66\) | −1.77315 | − | 2.42267i | −0.218260 | − | 0.298210i | ||||
\(67\) | −0.0767867 | + | 0.286572i | −0.00938099 | + | 0.0350103i | −0.970458 | − | 0.241271i | \(-0.922436\pi\) |
0.961077 | + | 0.276282i | \(0.0891023\pi\) | |||||||
\(68\) | 3.15834 | + | 6.12622i | 0.383005 | + | 0.742914i | ||||
\(69\) | 0.349094 | − | 2.67465i | 0.0420260 | − | 0.321991i | ||||
\(70\) | −2.67453 | − | 11.0244i | −0.319668 | − | 1.31767i | ||||
\(71\) | 13.9935i | 1.66073i | 0.557221 | + | 0.830364i | \(0.311867\pi\) | ||||
−0.557221 | + | 0.830364i | \(0.688133\pi\) | |||||||
\(72\) | −8.32833 | + | 1.62449i | −0.981503 | + | 0.191448i | ||||
\(73\) | − | 0.0279090i | − | 0.00326650i | −0.999999 | − | 0.00163325i | \(-0.999480\pi\) | ||
0.999999 | − | 0.00163325i | \(-0.000519880\pi\) | |||||||
\(74\) | −11.2177 | + | 2.72142i | −1.30403 | + | 0.316359i | ||||
\(75\) | 20.9434 | − | 8.70240i | 2.41834 | − | 1.00487i | ||||
\(76\) | 3.59746 | − | 11.2541i | 0.412656 | − | 1.29093i | ||||
\(77\) | 0.598214 | − | 2.23256i | 0.0681728 | − | 0.254424i | ||||
\(78\) | 0.633861 | + | 5.83444i | 0.0717706 | + | 0.660621i | ||||
\(79\) | 2.19067 | − | 3.79435i | 0.246470 | − | 0.426898i | −0.716074 | − | 0.698024i | \(-0.754063\pi\) |
0.962544 | + | 0.271126i | \(0.0873960\pi\) | |||||||
\(80\) | 13.1203 | − | 10.8333i | 1.46690 | − | 1.21120i | ||||
\(81\) | −7.77410 | + | 4.53468i | −0.863789 | + | 0.503854i | ||||
\(82\) | −5.60358 | − | 0.133372i | −0.618812 | − | 0.0147285i | ||||
\(83\) | 3.41819 | − | 0.915902i | 0.375195 | − | 0.100533i | −0.0662931 | − | 0.997800i | \(-0.521117\pi\) |
0.441489 | + | 0.897267i | \(0.354451\pi\) | |||||||
\(84\) | −4.99224 | − | 4.21326i | −0.544698 | − | 0.459705i | ||||
\(85\) | −14.1597 | − | 3.79408i | −1.53584 | − | 0.411526i | ||||
\(86\) | 1.22116 | − | 4.15894i | 0.131681 | − | 0.448470i | ||||
\(87\) | 0.876906 | − | 2.12373i | 0.0940142 | − | 0.227687i | ||||
\(88\) | 3.40403 | − | 0.656106i | 0.362871 | − | 0.0699411i | ||||
\(89\) | 4.74894i | 0.503386i | 0.967807 | + | 0.251693i | \(0.0809874\pi\) | ||||
−0.967807 | + | 0.251693i | \(0.919013\pi\) | |||||||
\(90\) | 9.35845 | − | 15.4309i | 0.986468 | − | 1.62656i | ||||
\(91\) | −3.19483 | + | 3.19483i | −0.334909 | + | 0.334909i | ||||
\(92\) | 2.62020 | + | 1.68387i | 0.273174 | + | 0.175556i | ||||
\(93\) | 4.32255 | + | 0.564177i | 0.448228 | + | 0.0585025i | ||||
\(94\) | −0.572680 | + | 0.312709i | −0.0590674 | + | 0.0322535i | ||||
\(95\) | 12.5645 | + | 21.7623i | 1.28909 | + | 2.23276i | ||||
\(96\) | 2.41237 | − | 9.49634i | 0.246212 | − | 0.969216i | ||||
\(97\) | 4.17352 | − | 7.22875i | 0.423757 | − | 0.733968i | −0.572547 | − | 0.819872i | \(-0.694045\pi\) |
0.996303 | + | 0.0859041i | \(0.0273779\pi\) | |||||||
\(98\) | −0.115887 | + | 4.86893i | −0.0117063 | + | 0.491836i | ||||
\(99\) | 3.18025 | − | 1.84557i | 0.319627 | − | 0.185487i | ||||
\(100\) | −1.24591 | + | 26.1584i | −0.124591 | + | 2.61584i | ||||
\(101\) | 1.93134 | + | 7.20785i | 0.192175 | + | 0.717208i | 0.992980 | + | 0.118282i | \(0.0377388\pi\) |
−0.800805 | + | 0.598926i | \(0.795594\pi\) | |||||||
\(102\) | −7.87017 | + | 3.05270i | −0.779263 | + | 0.302262i | ||||
\(103\) | −12.2204 | + | 7.05547i | −1.20411 | + | 0.695196i | −0.961468 | − | 0.274919i | \(-0.911349\pi\) |
−0.242647 | + | 0.970115i | \(0.578016\pi\) | |||||||
\(104\) | −6.40399 | − | 2.21637i | −0.627962 | − | 0.217333i | ||||
\(105\) | 13.7729 | − | 1.82884i | 1.34409 | − | 0.178477i | ||||
\(106\) | −10.9136 | + | 2.64764i | −1.06002 | + | 0.257162i | ||||
\(107\) | −3.84992 | + | 3.84992i | −0.372186 | + | 0.372186i | −0.868273 | − | 0.496087i | \(-0.834770\pi\) |
0.496087 | + | 0.868273i | \(0.334770\pi\) | |||||||
\(108\) | −0.899344 | − | 10.3533i | −0.0865394 | − | 0.996248i | ||||
\(109\) | 2.08616 | + | 2.08616i | 0.199818 | + | 0.199818i | 0.799922 | − | 0.600104i | \(-0.204874\pi\) |
−0.600104 | + | 0.799922i | \(0.704874\pi\) | |||||||
\(110\) | −3.83745 | + | 6.29578i | −0.365887 | + | 0.600279i | ||||
\(111\) | −1.86090 | − | 14.0143i | −0.176629 | − | 1.33018i | ||||
\(112\) | 6.86143 | − | 3.13361i | 0.648344 | − | 0.296099i | ||||
\(113\) | −2.04799 | − | 3.54722i | −0.192658 | − | 0.333694i | 0.753472 | − | 0.657480i | \(-0.228378\pi\) |
−0.946130 | + | 0.323786i | \(0.895044\pi\) | |||||||
\(114\) | 13.2399 | + | 5.83939i | 1.24003 | + | 0.546909i | ||||
\(115\) | −6.39862 | + | 1.71451i | −0.596674 | + | 0.159878i | ||||
\(116\) | 1.78464 | + | 1.96315i | 0.165700 | + | 0.182274i | ||||
\(117\) | −7.18773 | + | 0.0160127i | −0.664506 | + | 0.00148038i | ||||
\(118\) | 11.0392 | + | 11.5775i | 1.01624 | + | 1.06580i | ||||
\(119\) | −5.62814 | − | 3.24941i | −0.515931 | − | 0.297873i | ||||
\(120\) | 11.4937 | + | 17.3825i | 1.04922 | + | 1.58680i | ||||
\(121\) | 8.22531 | − | 4.74888i | 0.747755 | − | 0.431717i | ||||
\(122\) | 6.66241 | + | 1.95624i | 0.603186 | + | 0.177109i | ||||
\(123\) | 0.888467 | − | 6.80716i | 0.0801104 | − | 0.613781i | ||||
\(124\) | −2.72134 | + | 4.23454i | −0.244383 | + | 0.380273i | ||||
\(125\) | −24.3454 | − | 24.3454i | −2.17752 | − | 2.17752i | ||||
\(126\) | 5.77804 | − | 5.53401i | 0.514749 | − | 0.493009i | ||||
\(127\) | 4.89832 | 0.434656 | 0.217328 | − | 0.976099i | \(-0.430266\pi\) | ||||
0.217328 | + | 0.976099i | \(0.430266\pi\) | |||||||
\(128\) | 8.72438 | + | 7.20313i | 0.771134 | + | 0.636673i | ||||
\(129\) | 4.90684 | + | 2.02608i | 0.432023 | + | 0.178386i | ||||
\(130\) | 12.6500 | − | 6.90745i | 1.10947 | − | 0.605824i | ||||
\(131\) | 4.76283 | − | 17.7751i | 0.416130 | − | 1.55302i | −0.366430 | − | 0.930446i | \(-0.619420\pi\) |
0.782561 | − | 0.622574i | \(-0.213913\pi\) | |||||||
\(132\) | 0.358005 | + | 4.23068i | 0.0311603 | + | 0.368233i | ||||
\(133\) | 2.88332 | + | 10.7607i | 0.250016 | + | 0.933072i | ||||
\(134\) | 0.303657 | − | 0.289538i | 0.0262319 | − | 0.0250123i | ||||
\(135\) | 17.5803 | + | 13.3967i | 1.51307 | + | 1.15301i | ||||
\(136\) | 0.695278 | − | 9.72255i | 0.0596196 | − | 0.833702i | ||||
\(137\) | −13.4198 | − | 7.74793i | −1.14653 | − | 0.661950i | −0.198492 | − | 0.980103i | \(-0.563604\pi\) |
−0.948040 | + | 0.318153i | \(0.896938\pi\) | |||||||
\(138\) | −2.39023 | + | 2.97289i | −0.203470 | + | 0.253069i | ||||
\(139\) | 7.12209 | + | 1.90836i | 0.604088 | + | 0.161865i | 0.547884 | − | 0.836555i | \(-0.315434\pi\) |
0.0562039 | + | 0.998419i | \(0.482100\pi\) | |||||||
\(140\) | −4.88482 | + | 15.2814i | −0.412842 | + | 1.29151i | ||||
\(141\) | −0.306640 | − | 0.737967i | −0.0258237 | − | 0.0621480i | ||||
\(142\) | 10.2999 | − | 16.8982i | 0.864351 | − | 1.41807i | ||||
\(143\) | 2.93657 | 0.245568 | ||||||||
\(144\) | 11.2528 | + | 4.16837i | 0.937730 | + | 0.347364i | ||||
\(145\) | −5.64274 | −0.468604 | ||||||||
\(146\) | −0.0205424 | + | 0.0337022i | −0.00170010 | + | 0.00278921i | ||||
\(147\) | −5.91472 | − | 0.771986i | −0.487838 | − | 0.0636723i | ||||
\(148\) | 15.5493 | + | 4.97046i | 1.27814 | + | 0.408569i | ||||
\(149\) | 7.46026 | + | 1.99897i | 0.611168 | + | 0.163762i | 0.551110 | − | 0.834433i | \(-0.314205\pi\) |
0.0600585 | + | 0.998195i | \(0.480871\pi\) | |||||||
\(150\) | −31.6961 | − | 4.90661i | −2.58798 | − | 0.400623i | ||||
\(151\) | −3.36540 | − | 1.94301i | −0.273872 | − | 0.158120i | 0.356774 | − | 0.934191i | \(-0.383877\pi\) |
−0.630646 | + | 0.776071i | \(0.717210\pi\) | |||||||
\(152\) | −12.6277 | + | 10.9422i | −1.02424 | + | 0.887530i | ||||
\(153\) | −2.69808 | − | 9.98039i | −0.218127 | − | 0.806867i | ||||
\(154\) | −2.36566 | + | 2.25567i | −0.190631 | + | 0.181767i | ||||
\(155\) | −2.77084 | − | 10.3409i | −0.222559 | − | 0.830602i | ||||
\(156\) | 3.52900 | − | 7.51207i | 0.282546 | − | 0.601447i | ||||
\(157\) | −1.67026 | + | 6.23351i | −0.133302 | + | 0.497488i | −0.999999 | − | 0.00134577i | \(-0.999572\pi\) |
0.866698 | + | 0.498834i | \(0.166238\pi\) | |||||||
\(158\) | −5.43823 | + | 2.96952i | −0.432642 | + | 0.236242i | ||||
\(159\) | −1.81045 | − | 13.6344i | −0.143578 | − | 1.08128i | ||||
\(160\) | −23.8176 | + | 3.42484i | −1.88295 | + | 0.270757i | ||||
\(161\) | −2.93675 | −0.231448 | ||||||||
\(162\) | 12.7255 | + | 0.246158i | 0.999813 | + | 0.0193400i | ||||
\(163\) | 10.5783 | + | 10.5783i | 0.828556 | + | 0.828556i | 0.987317 | − | 0.158761i | \(-0.0507499\pi\) |
−0.158761 | + | 0.987317i | \(0.550750\pi\) | |||||||
\(164\) | 6.66856 | + | 4.28556i | 0.520727 | + | 0.334646i | ||||
\(165\) | −7.17025 | − | 5.48925i | −0.558203 | − | 0.427337i | ||||
\(166\) | −4.80187 | − | 1.40994i | −0.372697 | − | 0.109432i | ||||
\(167\) | 18.7147 | − | 10.8050i | 1.44819 | − | 0.836112i | 0.449815 | − | 0.893122i | \(-0.351490\pi\) |
0.998374 | + | 0.0570092i | \(0.0181564\pi\) | |||||||
\(168\) | 2.92733 | + | 8.76235i | 0.225848 | + | 0.676030i | ||||
\(169\) | 6.28698 | + | 3.62979i | 0.483614 | + | 0.279215i | ||||
\(170\) | 14.3062 | + | 15.0039i | 1.09724 | + | 1.15074i | ||||
\(171\) | −8.82708 | + | 15.3679i | −0.675024 | + | 1.17521i | ||||
\(172\) | −4.53583 | + | 4.12339i | −0.345854 | + | 0.314406i | ||||
\(173\) | 18.6969 | − | 5.00981i | 1.42150 | − | 0.380889i | 0.535483 | − | 0.844546i | \(-0.320130\pi\) |
0.886015 | + | 0.463657i | \(0.153463\pi\) | |||||||
\(174\) | −2.62209 | + | 1.91911i | −0.198780 | + | 0.145487i | ||||
\(175\) | −12.3462 | − | 21.3843i | −0.933287 | − | 1.61650i | ||||
\(176\) | −4.59354 | − | 1.71323i | −0.346251 | − | 0.129140i | ||||
\(177\) | −15.5303 | + | 11.9443i | −1.16733 | + | 0.897790i | ||||
\(178\) | 3.49545 | − | 5.73469i | 0.261995 | − | 0.429833i | ||||
\(179\) | −2.88152 | − | 2.88152i | −0.215375 | − | 0.215375i | 0.591171 | − | 0.806546i | \(-0.298666\pi\) |
−0.806546 | + | 0.591171i | \(0.798666\pi\) | |||||||
\(180\) | −22.6589 | + | 11.7456i | −1.68889 | + | 0.875467i | ||||
\(181\) | −9.50186 | + | 9.50186i | −0.706268 | + | 0.706268i | −0.965748 | − | 0.259480i | \(-0.916449\pi\) |
0.259480 | + | 0.965748i | \(0.416449\pi\) | |||||||
\(182\) | 6.20954 | − | 1.50644i | 0.460282 | − | 0.111665i | ||||
\(183\) | −3.24567 | + | 7.86050i | −0.239927 | + | 0.581065i | ||||
\(184\) | −1.92466 | − | 3.96199i | −0.141888 | − | 0.292082i | ||||
\(185\) | −30.0680 | + | 17.3598i | −2.21065 | + | 1.27632i | ||||
\(186\) | −4.80453 | − | 3.86289i | −0.352286 | − | 0.283241i | ||||
\(187\) | 1.09322 | + | 4.07996i | 0.0799442 | + | 0.298356i | ||||
\(188\) | 0.921721 | + | 0.0439012i | 0.0672234 | + | 0.00320182i | ||||
\(189\) | 5.99108 | + | 7.75394i | 0.435787 | + | 0.564016i | ||||
\(190\) | 0.845602 | − | 35.5276i | 0.0613464 | − | 2.57744i | ||||
\(191\) | 2.36417 | − | 4.09487i | 0.171066 | − | 0.296294i | −0.767727 | − | 0.640777i | \(-0.778612\pi\) |
0.938793 | + | 0.344483i | \(0.111946\pi\) | |||||||
\(192\) | −9.90289 | + | 9.69190i | −0.714679 | + | 0.699452i | ||||
\(193\) | 9.76542 | + | 16.9142i | 0.702931 | + | 1.21751i | 0.967433 | + | 0.253127i | \(0.0814589\pi\) |
−0.264503 | + | 0.964385i | \(0.585208\pi\) | |||||||
\(194\) | −10.3605 | + | 5.65732i | −0.743843 | + | 0.406172i | ||||
\(195\) | 6.77338 | + | 16.3010i | 0.485052 | + | 1.16734i | ||||
\(196\) | 3.72371 | − | 5.79429i | 0.265979 | − | 0.413878i | ||||
\(197\) | 6.89966 | − | 6.89966i | 0.491581 | − | 0.491581i | −0.417223 | − | 0.908804i | \(-0.636997\pi\) |
0.908804 | + | 0.417223i | \(0.136997\pi\) | |||||||
\(198\) | −5.19881 | − | 0.112151i | −0.369463 | − | 0.00797020i | ||||
\(199\) | − | 24.4752i | − | 1.73500i | −0.497438 | − | 0.867500i | \(-0.665726\pi\) | ||
0.497438 | − | 0.867500i | \(-0.334274\pi\) | |||||||
\(200\) | 20.7584 | − | 30.6711i | 1.46784 | − | 2.16877i | ||||
\(201\) | 0.313276 | + | 0.407329i | 0.0220968 | + | 0.0287308i | ||||
\(202\) | 2.97310 | − | 10.1256i | 0.209187 | − | 0.712432i | ||||
\(203\) | −2.41634 | − | 0.647456i | −0.169594 | − | 0.0454425i | ||||
\(204\) | 11.7507 | + | 2.10648i | 0.822716 | + | 0.147483i | ||||
\(205\) | −16.2849 | + | 4.36352i | −1.13739 | + | 0.304762i | ||||
\(206\) | 19.9502 | + | 0.474841i | 1.39000 | + | 0.0330837i | ||||
\(207\) | −3.31090 | − | 3.29619i | −0.230124 | − | 0.229101i | ||||
\(208\) | 6.10192 | + | 7.39008i | 0.423092 | + | 0.512410i | ||||
\(209\) | 3.62030 | − | 6.27055i | 0.250422 | − | 0.433743i | ||||
\(210\) | −17.9778 | − | 7.92904i | −1.24059 | − | 0.547155i | ||||
\(211\) | −5.67623 | + | 21.1840i | −0.390768 | + | 1.45837i | 0.438102 | + | 0.898925i | \(0.355651\pi\) |
−0.828870 | + | 0.559441i | \(0.811016\pi\) | |||||||
\(212\) | 15.1277 | + | 4.83570i | 1.03898 | + | 0.332118i | ||||
\(213\) | 19.2453 | + | 14.7334i | 1.31867 | + | 1.00952i | ||||
\(214\) | 7.48279 | − | 1.81533i | 0.511513 | − | 0.124093i | ||||
\(215\) | − | 13.0375i | − | 0.889148i | ||||||
\(216\) | −6.53452 | + | 13.1643i | −0.444618 | + | 0.895720i | ||||
\(217\) | − | 4.74612i | − | 0.322188i | ||||||
\(218\) | −0.983675 | − | 4.05471i | −0.0666229 | − | 0.274619i | ||||
\(219\) | −0.0383833 | − | 0.0293847i | −0.00259370 | − | 0.00198563i | ||||
\(220\) | 9.26801 | − | 4.77806i | 0.624849 | − | 0.322137i | ||||
\(221\) | 2.13703 | − | 7.97551i | 0.143752 | − | 0.536491i | ||||
\(222\) | −8.06805 | + | 18.2930i | −0.541492 | + | 1.22775i | ||||
\(223\) | −1.56986 | + | 2.71908i | −0.105126 | + | 0.182083i | −0.913790 | − | 0.406188i | \(-0.866858\pi\) |
0.808664 | + | 0.588271i | \(0.200191\pi\) | |||||||
\(224\) | −10.5922 | − | 1.26628i | −0.707719 | − | 0.0846068i | ||||
\(225\) | 10.0824 | − | 37.9661i | 0.672159 | − | 2.53107i | ||||
\(226\) | −0.137832 | + | 5.79094i | −0.00916844 | + | 0.385208i | ||||
\(227\) | −13.6026 | + | 3.64479i | −0.902833 | + | 0.241913i | −0.680233 | − | 0.732996i | \(-0.738121\pi\) |
−0.222601 | + | 0.974910i | \(0.571455\pi\) | |||||||
\(228\) | −11.6901 | − | 16.7967i | −0.774194 | − | 1.11239i | ||||
\(229\) | 18.3325 | + | 4.91218i | 1.21145 | + | 0.324606i | 0.807330 | − | 0.590101i | \(-0.200912\pi\) |
0.404117 | + | 0.914707i | \(0.367579\pi\) | |||||||
\(230\) | 8.98876 | + | 2.63931i | 0.592701 | + | 0.174031i | ||||
\(231\) | −2.44061 | − | 3.17333i | −0.160580 | − | 0.208790i | ||||
\(232\) | −0.710113 | − | 3.68423i | −0.0466212 | − | 0.241881i | ||||
\(233\) | − | 12.6802i | − | 0.830708i | −0.909660 | − | 0.415354i | \(-0.863658\pi\) | ||
0.909660 | − | 0.415354i | \(-0.136342\pi\) | |||||||
\(234\) | 8.69150 | + | 5.27119i | 0.568181 | + | 0.344588i | ||||
\(235\) | −1.38776 | + | 1.38776i | −0.0905275 | + | 0.0905275i | ||||
\(236\) | −4.80905 | − | 22.1062i | −0.313042 | − | 1.43899i | ||||
\(237\) | −2.91188 | − | 7.00781i | −0.189147 | − | 0.455206i | ||||
\(238\) | 4.40466 | + | 8.06648i | 0.285512 | + | 0.522872i | ||||
\(239\) | −3.69405 | − | 6.39829i | −0.238948 | − | 0.413871i | 0.721464 | − | 0.692451i | \(-0.243469\pi\) |
−0.960413 | + | 0.278581i | \(0.910136\pi\) | |||||||
\(240\) | −1.08505 | − | 29.4506i | −0.0700396 | − | 1.90103i | ||||
\(241\) | 11.1955 | − | 19.3912i | 0.721167 | − | 1.24910i | −0.239366 | − | 0.970929i | \(-0.576940\pi\) |
0.960533 | − | 0.278168i | \(-0.0897271\pi\) | |||||||
\(242\) | −13.4281 | − | 0.319605i | −0.863189 | − | 0.0205450i | ||||
\(243\) | −1.94859 | + | 15.4662i | −0.125002 | + | 0.992156i | ||||
\(244\) | −6.60546 | − | 7.26615i | −0.422871 | − | 0.465168i | ||||
\(245\) | 3.79145 | + | 14.1499i | 0.242227 | + | 0.904003i | ||||
\(246\) | −6.08329 | + | 7.56619i | −0.387856 | + | 0.482402i | ||||
\(247\) | −12.2577 | + | 7.07698i | −0.779938 | + | 0.450297i | ||||
\(248\) | 6.40304 | − | 3.11048i | 0.406593 | − | 0.197516i | ||||
\(249\) | 2.33929 | − | 5.66538i | 0.148246 | − | 0.359029i | ||||
\(250\) | 11.4794 | + | 47.3182i | 0.726023 | + | 2.99267i | ||||
\(251\) | −7.52339 | + | 7.52339i | −0.474872 | + | 0.474872i | −0.903487 | − | 0.428615i | \(-0.859002\pi\) |
0.428615 | + | 0.903487i | \(0.359002\pi\) | |||||||
\(252\) | −11.0507 | + | 2.42980i | −0.696129 | + | 0.153063i | ||||
\(253\) | 1.34967 | + | 1.34967i | 0.0848533 | + | 0.0848533i | ||||
\(254\) | −5.91508 | − | 3.60540i | −0.371145 | − | 0.226223i | ||||
\(255\) | −20.1264 | + | 15.4792i | −1.26036 | + | 0.969343i | ||||
\(256\) | −5.23347 | − | 15.1199i | −0.327092 | − | 0.944993i | ||||
\(257\) | 2.21664 | + | 3.83934i | 0.138270 | + | 0.239491i | 0.926842 | − | 0.375452i | \(-0.122512\pi\) |
−0.788572 | + | 0.614943i | \(0.789179\pi\) | |||||||
\(258\) | −4.43407 | − | 6.05831i | −0.276053 | − | 0.377174i | ||||
\(259\) | −14.8676 | + | 3.98377i | −0.923830 | + | 0.247539i | ||||
\(260\) | −20.3600 | − | 0.969736i | −1.26267 | − | 0.0601405i | ||||
\(261\) | −1.99749 | − | 3.44203i | −0.123642 | − | 0.213056i | ||||
\(262\) | −18.8348 | + | 17.9591i | −1.16362 | + | 1.10952i | ||||
\(263\) | −4.61948 | − | 2.66706i | −0.284850 | − | 0.164458i | 0.350767 | − | 0.936463i | \(-0.385921\pi\) |
−0.635617 | + | 0.772005i | \(0.719254\pi\) | |||||||
\(264\) | 2.68167 | − | 5.37236i | 0.165045 | − | 0.330646i | ||||
\(265\) | −29.2529 | + | 16.8891i | −1.79699 | + | 1.03749i | ||||
\(266\) | 4.43859 | − | 15.1166i | 0.272147 | − | 0.926859i | ||||
\(267\) | 6.53122 | + | 5.00004i | 0.399704 | + | 0.305997i | ||||
\(268\) | −0.579801 | + | 0.126132i | −0.0354170 | + | 0.00770473i | ||||
\(269\) | 20.6406 | + | 20.6406i | 1.25848 | + | 1.25848i | 0.951818 | + | 0.306663i | \(0.0992124\pi\) |
0.306663 | + | 0.951818i | \(0.400788\pi\) | |||||||
\(270\) | −11.3688 | − | 29.1175i | −0.691885 | − | 1.77203i | ||||
\(271\) | 23.2339 | 1.41136 | 0.705680 | − | 0.708530i | \(-0.250642\pi\) | ||||
0.705680 | + | 0.708530i | \(0.250642\pi\) | |||||||
\(272\) | −7.99587 | + | 11.2289i | −0.484821 | + | 0.680854i | ||||
\(273\) | 1.03010 | + | 7.75762i | 0.0623446 | + | 0.469512i | ||||
\(274\) | 10.5025 | + | 19.2338i | 0.634481 | + | 1.16196i | ||||
\(275\) | −4.15373 | + | 15.5019i | −0.250479 | + | 0.934801i | ||||
\(276\) | 5.07457 | − | 1.83065i | 0.305453 | − | 0.110192i | ||||
\(277\) | −5.09351 | − | 19.0092i | −0.306039 | − | 1.14215i | −0.932047 | − | 0.362338i | \(-0.881979\pi\) |
0.626007 | − | 0.779817i | \(-0.284688\pi\) | |||||||
\(278\) | −7.19579 | − | 7.54668i | −0.431575 | − | 0.452620i | ||||
\(279\) | 5.32702 | − | 5.35081i | 0.318920 | − | 0.320344i | ||||
\(280\) | 17.1466 | − | 14.8579i | 1.02471 | − | 0.887929i | ||||
\(281\) | 16.3011 | + | 9.41146i | 0.972444 | + | 0.561441i | 0.899980 | − | 0.435930i | \(-0.143581\pi\) |
0.0724633 | + | 0.997371i | \(0.476914\pi\) | |||||||
\(282\) | −0.172890 | + | 1.11685i | −0.0102955 | + | 0.0665075i | ||||
\(283\) | 12.8326 | + | 3.43848i | 0.762819 | + | 0.204397i | 0.619197 | − | 0.785236i | \(-0.287458\pi\) |
0.143622 | + | 0.989633i | \(0.454125\pi\) | |||||||
\(284\) | −24.8758 | + | 12.8246i | −1.47611 | + | 0.760999i | ||||
\(285\) | 43.1585 | + | 5.63302i | 2.55649 | + | 0.333671i | ||||
\(286\) | −3.54612 | − | 2.16146i | −0.209687 | − | 0.127810i | ||||
\(287\) | −7.47420 | −0.441188 | ||||||||
\(288\) | −10.5204 | − | 13.3162i | −0.619921 | − | 0.784664i | ||||
\(289\) | −5.12358 | −0.301387 | ||||||||
\(290\) | 6.81402 | + | 4.15333i | 0.400133 | + | 0.243892i | ||||
\(291\) | −5.54752 | − | 13.3508i | −0.325201 | − | 0.782638i | ||||
\(292\) | 0.0496129 | − | 0.0255776i | 0.00290337 | − | 0.00149682i | ||||
\(293\) | −8.23584 | − | 2.20679i | −0.481143 | − | 0.128922i | 0.0100919 | − | 0.999949i | \(-0.496788\pi\) |
−0.491235 | + | 0.871027i | \(0.663454\pi\) | |||||||
\(294\) | 6.57424 | + | 5.28575i | 0.383417 | + | 0.308271i | ||||
\(295\) | 41.6699 | + | 24.0581i | 2.42611 | + | 1.40072i | ||||
\(296\) | −15.1184 | − | 17.4472i | −0.878738 | − | 1.01410i | ||||
\(297\) | 0.810177 | − | 6.31696i | 0.0470113 | − | 0.366547i | ||||
\(298\) | −7.53746 | − | 7.90502i | −0.436634 | − | 0.457925i | ||||
\(299\) | −0.965702 | − | 3.60405i | −0.0558480 | − | 0.208427i | ||||
\(300\) | 34.6639 | + | 29.2550i | 2.00132 | + | 1.68904i | ||||
\(301\) | 1.49594 | − | 5.58291i | 0.0862244 | − | 0.321794i | ||||
\(302\) | 2.63381 | + | 4.82343i | 0.151559 | + | 0.277557i | ||||
\(303\) | 11.9464 | + | 4.93279i | 0.686304 | + | 0.283381i | ||||
\(304\) | 23.3029 | − | 3.91888i | 1.33651 | − | 0.224763i | ||||
\(305\) | 20.8853 | 1.19589 | ||||||||
\(306\) | −4.08792 | + | 14.0380i | −0.233691 | + | 0.802497i | ||||
\(307\) | −7.13558 | − | 7.13558i | −0.407249 | − | 0.407249i | 0.473529 | − | 0.880778i | \(-0.342980\pi\) |
−0.880778 | + | 0.473529i | \(0.842980\pi\) | |||||||
\(308\) | 4.51699 | − | 0.982641i | 0.257380 | − | 0.0559912i | ||||
\(309\) | −3.16318 | + | 24.2353i | −0.179947 | + | 1.37870i | ||||
\(310\) | −4.26543 | + | 14.5269i | −0.242260 | + | 0.825071i | ||||
\(311\) | −10.0741 | + | 5.81630i | −0.571252 | + | 0.329812i | −0.757649 | − | 0.652662i | \(-0.773652\pi\) |
0.186397 | + | 0.982474i | \(0.440319\pi\) | |||||||
\(312\) | −9.79077 | + | 6.47385i | −0.554293 | + | 0.366510i | ||||
\(313\) | −5.76956 | − | 3.33106i | −0.326115 | − | 0.188282i | 0.328000 | − | 0.944678i | \(-0.393625\pi\) |
−0.654115 | + | 0.756395i | \(0.726959\pi\) | |||||||
\(314\) | 6.60513 | − | 6.29802i | 0.372749 | − | 0.355418i | ||||
\(315\) | 11.9859 | − | 20.8674i | 0.675328 | − | 1.17574i | ||||
\(316\) | 8.75276 | + | 0.416890i | 0.492381 | + | 0.0234519i | ||||
\(317\) | −2.64447 | + | 0.708583i | −0.148528 | + | 0.0397980i | −0.332317 | − | 0.943168i | \(-0.607830\pi\) |
0.183789 | + | 0.982966i | \(0.441164\pi\) | |||||||
\(318\) | −7.84932 | + | 17.7971i | −0.440168 | + | 0.998012i | ||||
\(319\) | 0.812945 | + | 1.40806i | 0.0455162 | + | 0.0788364i | ||||
\(320\) | 31.2824 | + | 13.3952i | 1.74874 | + | 0.748814i | ||||
\(321\) | 1.24132 | + | 9.34829i | 0.0692837 | + | 0.521770i | ||||
\(322\) | 3.54633 | + | 2.16159i | 0.197630 | + | 0.120461i | ||||
\(323\) | −14.3957 | − | 14.3957i | −0.801000 | − | 0.801000i | ||||
\(324\) | −15.1858 | − | 9.66387i | −0.843657 | − | 0.536882i | ||||
\(325\) | 22.1835 | − | 22.1835i | 1.23052 | − | 1.23052i | ||||
\(326\) | −4.98792 | − | 20.5602i | −0.276255 | − | 1.13872i | ||||
\(327\) | 5.06557 | − | 0.672636i | 0.280126 | − | 0.0371968i | ||||
\(328\) | −4.89839 | − | 10.0835i | −0.270468 | − | 0.556769i | ||||
\(329\) | −0.753501 | + | 0.435034i | −0.0415418 | + | 0.0239842i | ||||
\(330\) | 4.61825 | + | 11.9063i | 0.254226 | + | 0.655422i | ||||
\(331\) | 5.27295 | + | 19.6789i | 0.289827 | + | 1.08165i | 0.945239 | + | 0.326379i | \(0.105829\pi\) |
−0.655412 | + | 0.755272i | \(0.727505\pi\) | |||||||
\(332\) | 4.76082 | + | 5.23701i | 0.261284 | + | 0.287418i | ||||
\(333\) | −21.2332 | − | 12.1960i | −1.16357 | − | 0.668337i | ||||
\(334\) | −30.5524 | − | 0.727186i | −1.67175 | − | 0.0397898i | ||||
\(335\) | 0.630997 | − | 1.09292i | 0.0344751 | − | 0.0597126i | ||||
\(336\) | 2.91456 | − | 12.7358i | 0.159002 | − | 0.694797i | ||||
\(337\) | −0.514533 | − | 0.891197i | −0.0280284 | − | 0.0485466i | 0.851671 | − | 0.524077i | \(-0.175590\pi\) |
−0.879699 | + | 0.475530i | \(0.842256\pi\) | |||||||
\(338\) | −4.92029 | − | 9.01076i | −0.267628 | − | 0.490121i | ||||
\(339\) | −7.03477 | − | 0.918174i | −0.382076 | − | 0.0498684i | ||||
\(340\) | −6.23226 | − | 28.6483i | −0.337991 | − | 1.55367i | ||||
\(341\) | −2.18123 | + | 2.18123i | −0.118120 | + | 0.118120i | ||||
\(342\) | 21.9709 | − | 12.0607i | 1.18805 | − | 0.652169i | ||||
\(343\) | 19.6948i | 1.06342i | ||||||||
\(344\) | 8.51236 | − | 1.64071i | 0.458956 | − | 0.0884610i | ||||
\(345\) | −4.37898 | + | 10.6052i | −0.235756 | + | 0.570964i | ||||
\(346\) | −26.2653 | − | 7.71210i | −1.41203 | − | 0.414605i | ||||
\(347\) | 30.1559 | + | 8.08026i | 1.61886 | + | 0.433771i | 0.950665 | − | 0.310219i | \(-0.100402\pi\) |
0.668191 | + | 0.743990i | \(0.267069\pi\) | |||||||
\(348\) | 4.57893 | − | 0.387474i | 0.245456 | − | 0.0207708i | ||||
\(349\) | −17.2540 | + | 4.62320i | −0.923587 | + | 0.247474i | −0.689118 | − | 0.724649i | \(-0.742002\pi\) |
−0.234469 | + | 0.972124i | \(0.575335\pi\) | |||||||
\(350\) | −0.830915 | + | 34.9105i | −0.0444143 | + | 1.86605i | ||||
\(351\) | −7.54576 | + | 9.90216i | −0.402763 | + | 0.528538i | ||||
\(352\) | 4.28601 | + | 5.44992i | 0.228445 | + | 0.290482i | ||||
\(353\) | −1.02827 | + | 1.78101i | −0.0547291 | + | 0.0947935i | −0.892092 | − | 0.451854i | \(-0.850763\pi\) |
0.837363 | + | 0.546647i | \(0.184096\pi\) | |||||||
\(354\) | 27.5456 | − | 2.99258i | 1.46403 | − | 0.159054i | ||||
\(355\) | 15.4061 | − | 57.4962i | 0.817668 | − | 3.05158i | ||||
\(356\) | −8.44202 | + | 4.35223i | −0.447426 | + | 0.230668i | ||||
\(357\) | −10.3946 | + | 4.31917i | −0.550143 | + | 0.228595i | ||||
\(358\) | 1.35871 | + | 5.60059i | 0.0718099 | + | 0.296000i | ||||
\(359\) | − | 4.76579i | − | 0.251529i | −0.992060 | − | 0.125764i | \(-0.959862\pi\) | ||
0.992060 | − | 0.125764i | \(-0.0401383\pi\) | |||||||
\(360\) | 36.0076 | + | 2.49436i | 1.89777 | + | 0.131464i | ||||
\(361\) | 15.8989i | 0.836785i | ||||||||
\(362\) | 18.4680 | − | 4.48036i | 0.970658 | − | 0.235482i | ||||
\(363\) | 2.12907 | − | 16.3123i | 0.111747 | − | 0.856171i | ||||
\(364\) | −8.60729 | − | 2.75139i | −0.451145 | − | 0.144212i | ||||
\(365\) | −0.0307261 | + | 0.114672i | −0.00160828 | + | 0.00600218i | ||||
\(366\) | 9.70509 | − | 7.10315i | 0.507293 | − | 0.371288i | ||||
\(367\) | 8.61021 | − | 14.9133i | 0.449449 | − | 0.778469i | −0.548901 | − | 0.835887i | \(-0.684954\pi\) |
0.998350 | + | 0.0574187i | \(0.0182870\pi\) | |||||||
\(368\) | −0.592049 | + | 6.20104i | −0.0308627 | + | 0.323252i | ||||
\(369\) | −8.42646 | − | 8.38900i | −0.438664 | − | 0.436714i | ||||
\(370\) | 49.0870 | + | 1.16833i | 2.55191 | + | 0.0607387i | ||||
\(371\) | −14.4646 | + | 3.87577i | −0.750963 | + | 0.201220i | ||||
\(372\) | 2.95855 | + | 8.20110i | 0.153393 | + | 0.425207i | ||||
\(373\) | −16.0383 | − | 4.29744i | −0.830430 | − | 0.222513i | −0.181529 | − | 0.983386i | \(-0.558105\pi\) |
−0.648901 | + | 0.760872i | \(0.724771\pi\) | |||||||
\(374\) | 1.68290 | − | 5.73151i | 0.0870208 | − | 0.296369i | ||||
\(375\) | −59.1149 | + | 7.84962i | −3.05268 | + | 0.405353i | ||||
\(376\) | −1.08073 | − | 0.731446i | −0.0557345 | − | 0.0377214i | ||||
\(377\) | − | 3.17830i | − | 0.163691i | ||||||
\(378\) | −1.52739 | − | 13.7732i | −0.0785603 | − | 0.708416i | ||||
\(379\) | −22.5741 | + | 22.5741i | −1.15955 | + | 1.15955i | −0.174981 | + | 0.984572i | \(0.555987\pi\) |
−0.984572 | + | 0.174981i | \(0.944013\pi\) | |||||||
\(380\) | −27.1712 | + | 42.2797i | −1.39385 | + | 2.16890i | ||||
\(381\) | 5.15731 | − | 6.73667i | 0.264217 | − | 0.345130i | ||||
\(382\) | −5.86894 | + | 3.20471i | −0.300281 | + | 0.163967i | ||||
\(383\) | −12.6153 | − | 21.8504i | −0.644614 | − | 1.11650i | −0.984391 | − | 0.175997i | \(-0.943685\pi\) |
0.339777 | − | 0.940506i | \(-0.389648\pi\) | |||||||
\(384\) | 19.0922 | − | 4.41466i | 0.974293 | − | 0.225285i | ||||
\(385\) | −4.91584 | + | 8.51448i | −0.250534 | + | 0.433938i | ||||
\(386\) | 0.657224 | − | 27.6130i | 0.0334518 | − | 1.40546i | ||||
\(387\) | 7.95276 | − | 4.61518i | 0.404261 | − | 0.234603i | ||||
\(388\) | 16.6752 | + | 0.794231i | 0.846554 | + | 0.0403210i | ||||
\(389\) | −1.90129 | − | 7.09570i | −0.0963991 | − | 0.359766i | 0.900829 | − | 0.434175i | \(-0.142960\pi\) |
−0.997228 | + | 0.0744082i | \(0.976293\pi\) | |||||||
\(390\) | 3.81899 | − | 24.6702i | 0.193382 | − | 1.24922i | ||||
\(391\) | 4.64781 | − | 2.68342i | 0.235050 | − | 0.135706i | ||||
\(392\) | −8.76154 | + | 4.25619i | −0.442524 | + | 0.214970i | ||||
\(393\) | −19.4315 | − | 25.2653i | −0.980190 | − | 1.27447i | ||||
\(394\) | −13.4103 | + | 3.25336i | −0.675603 | + | 0.163902i | ||||
\(395\) | −13.1783 | + | 13.1783i | −0.663073 | + | 0.663073i | ||||
\(396\) | 6.19540 | + | 3.96201i | 0.311330 | + | 0.199098i | ||||
\(397\) | −2.23236 | − | 2.23236i | −0.112039 | − | 0.112039i | 0.648865 | − | 0.760904i | \(-0.275244\pi\) |
−0.760904 | + | 0.648865i | \(0.775244\pi\) | |||||||
\(398\) | −18.0149 | + | 29.5556i | −0.903007 | + | 1.48149i | ||||
\(399\) | 17.8350 | + | 7.36424i | 0.892867 | + | 0.368673i | ||||
\(400\) | −47.6427 | + | 21.7584i | −2.38213 | + | 1.08792i | ||||
\(401\) | 9.10949 | + | 15.7781i | 0.454906 | + | 0.787921i | 0.998683 | − | 0.0513094i | \(-0.0163395\pi\) |
−0.543777 | + | 0.839230i | \(0.683006\pi\) | |||||||
\(402\) | −0.0784896 | − | 0.722466i | −0.00391471 | − | 0.0360334i | ||||
\(403\) | 5.82456 | − | 1.56069i | 0.290142 | − | 0.0777433i | ||||
\(404\) | −11.0431 | + | 10.0390i | −0.549417 | + | 0.499460i | ||||
\(405\) | 36.9344 | − | 10.0731i | 1.83528 | − | 0.500538i | ||||
\(406\) | 2.44134 | + | 2.56039i | 0.121162 | + | 0.127070i | ||||
\(407\) | 8.66376 | + | 5.00202i | 0.429447 | + | 0.247941i | ||||
\(408\) | −12.6394 | − | 11.1928i | −0.625744 | − | 0.554128i | ||||
\(409\) | 22.6986 | − | 13.1050i | 1.12237 | − | 0.648002i | 0.180368 | − | 0.983599i | \(-0.442271\pi\) |
0.942006 | + | 0.335597i | \(0.108938\pi\) | |||||||
\(410\) | 22.8769 | + | 6.71720i | 1.12981 | + | 0.331739i | ||||
\(411\) | −24.7851 | + | 10.2987i | −1.22256 | + | 0.507997i | ||||
\(412\) | −23.7419 | − | 15.2577i | −1.16968 | − | 0.751695i | ||||
\(413\) | 15.0834 | + | 15.0834i | 0.742207 | + | 0.742207i | ||||
\(414\) | 1.57201 | + | 6.41737i | 0.0772598 | + | 0.315397i | ||||
\(415\) | −15.0529 | −0.738918 | ||||||||
\(416\) | −1.92905 | − | 13.4154i | −0.0945797 | − | 0.657743i | ||||
\(417\) | 10.1232 | − | 7.78576i | 0.495737 | − | 0.381270i | ||||
\(418\) | −8.98721 | + | 4.90742i | −0.439579 | + | 0.240030i | ||||
\(419\) | −3.00645 | + | 11.2202i | −0.146875 | + | 0.548144i | 0.852790 | + | 0.522254i | \(0.174909\pi\) |
−0.999665 | + | 0.0258901i | \(0.991758\pi\) | |||||||
\(420\) | 15.8734 | + | 22.8075i | 0.774542 | + | 1.11289i | ||||
\(421\) | 2.61129 | + | 9.74548i | 0.127267 | + | 0.474966i | 0.999910 | − | 0.0133918i | \(-0.00426287\pi\) |
−0.872644 | + | 0.488358i | \(0.837596\pi\) | |||||||
\(422\) | 22.4469 | − | 21.4032i | 1.09270 | − | 1.04189i | ||||
\(423\) | −1.33778 | − | 0.355265i | −0.0650451 | − | 0.0172736i | ||||
\(424\) | −14.7085 | − | 16.9742i | −0.714309 | − | 0.824341i | ||||
\(425\) | 39.0793 | + | 22.5624i | 1.89562 | + | 1.09444i | ||||
\(426\) | −12.3956 | − | 31.9572i | −0.600570 | − | 1.54833i | ||||
\(427\) | 8.94353 | + | 2.39641i | 0.432808 | + | 0.115970i | ||||
\(428\) | −10.3722 | − | 3.31555i | −0.501358 | − | 0.160263i | ||||
\(429\) | 3.09184 | − | 4.03867i | 0.149276 | − | 0.194989i | ||||
\(430\) | −9.59621 | + | 15.7437i | −0.462770 | + | 0.759228i | ||||
\(431\) | −4.07825 | −0.196442 | −0.0982211 | − | 0.995165i | \(-0.531315\pi\) | ||||
−0.0982211 | + | 0.995165i | \(0.531315\pi\) | |||||||
\(432\) | 17.5805 | − | 11.0872i | 0.845843 | − | 0.533432i | ||||
\(433\) | −25.1331 | −1.20782 | −0.603910 | − | 0.797052i | \(-0.706392\pi\) | ||||
−0.603910 | + | 0.797052i | \(0.706392\pi\) | |||||||
\(434\) | −3.49338 | + | 5.73129i | −0.167687 | + | 0.275111i | ||||
\(435\) | −5.94110 | + | 7.76047i | −0.284854 | + | 0.372086i | ||||
\(436\) | −1.79660 | + | 5.62039i | −0.0860417 | + | 0.269168i | ||||
\(437\) | −8.88638 | − | 2.38110i | −0.425093 | − | 0.113903i | ||||
\(438\) | 0.0247221 | + | 0.0637361i | 0.00118127 | + | 0.00304543i | ||||
\(439\) | −13.5272 | − | 7.80991i | −0.645616 | − | 0.372747i | 0.141158 | − | 0.989987i | \(-0.454917\pi\) |
−0.786775 | + | 0.617240i | \(0.788251\pi\) | |||||||
\(440\) | −14.7087 | − | 1.05185i | −0.701209 | − | 0.0501448i | ||||
\(441\) | −7.28917 | + | 7.32172i | −0.347103 | + | 0.348653i | ||||
\(442\) | −8.45098 | + | 8.05805i | −0.401972 | + | 0.383282i | ||||
\(443\) | −8.75415 | − | 32.6709i | −0.415922 | − | 1.55224i | −0.782982 | − | 0.622045i | \(-0.786302\pi\) |
0.367060 | − | 0.930197i | \(-0.380364\pi\) | |||||||
\(444\) | 23.2073 | − | 16.1517i | 1.10137 | − | 0.766525i | ||||
\(445\) | 5.22830 | − | 19.5123i | 0.247845 | − | 0.924970i | ||||
\(446\) | 3.89710 | − | 2.12799i | 0.184533 | − | 0.100763i | ||||
\(447\) | 10.6039 | − | 8.15544i | 0.501547 | − | 0.385739i | ||||
\(448\) | 11.8588 | + | 9.32548i | 0.560274 | + | 0.440587i | ||||
\(449\) | −28.0284 | −1.32274 | −0.661370 | − | 0.750060i | \(-0.730025\pi\) | ||||
−0.661370 | + | 0.750060i | \(0.730025\pi\) | |||||||
\(450\) | −40.1201 | + | 38.4257i | −1.89128 | + | 1.81140i | ||||
\(451\) | 3.43500 | + | 3.43500i | 0.161748 | + | 0.161748i | ||||
\(452\) | 4.42886 | − | 6.89153i | 0.208316 | − | 0.324150i | ||||
\(453\) | −6.21557 | + | 2.58269i | −0.292033 | + | 0.121345i | ||||
\(454\) | 19.1088 | + | 5.61079i | 0.896821 | + | 0.263327i | ||||
\(455\) | 16.6441 | − | 9.60949i | 0.780289 | − | 0.450500i | ||||
\(456\) | 1.75341 | + | 28.8877i | 0.0821111 | + | 1.35279i | ||||
\(457\) | −14.8363 | − | 8.56574i | −0.694012 | − | 0.400688i | 0.111101 | − | 0.993809i | \(-0.464562\pi\) |
−0.805113 | + | 0.593121i | \(0.797896\pi\) | |||||||
\(458\) | −18.5222 | − | 19.4254i | −0.865488 | − | 0.907692i | ||||
\(459\) | −16.5668 | − | 6.79742i | −0.773272 | − | 0.317276i | ||||
\(460\) | −8.91192 | − | 9.80332i | −0.415521 | − | 0.457082i | ||||
\(461\) | −9.09603 | + | 2.43727i | −0.423644 | + | 0.113515i | −0.464341 | − | 0.885656i | \(-0.653709\pi\) |
0.0406970 | + | 0.999172i | \(0.487042\pi\) | |||||||
\(462\) | 0.611480 | + | 5.62844i | 0.0284486 | + | 0.261859i | ||||
\(463\) | −0.777204 | − | 1.34616i | −0.0361197 | − | 0.0625612i | 0.847400 | − | 0.530954i | \(-0.178166\pi\) |
−0.883520 | + | 0.468393i | \(0.844833\pi\) | |||||||
\(464\) | −1.85426 | + | 4.97165i | −0.0860818 | + | 0.230803i | ||||
\(465\) | −17.1392 | − | 7.07694i | −0.794812 | − | 0.328185i | ||||
\(466\) | −9.33326 | + | 15.3123i | −0.432355 | + | 0.709328i | ||||
\(467\) | 9.81211 | + | 9.81211i | 0.454050 | + | 0.454050i | 0.896696 | − | 0.442646i | \(-0.145960\pi\) |
−0.442646 | + | 0.896696i | \(0.645960\pi\) | |||||||
\(468\) | −6.61577 | − | 12.7627i | −0.305814 | − | 0.589956i | ||||
\(469\) | 0.395609 | − | 0.395609i | 0.0182675 | − | 0.0182675i | ||||
\(470\) | 2.69728 | − | 0.654362i | 0.124416 | − | 0.0301835i | ||||
\(471\) | 6.81438 | + | 8.86022i | 0.313990 | + | 0.408257i | ||||
\(472\) | −10.4639 | + | 30.2345i | −0.481642 | + | 1.39165i | ||||
\(473\) | −3.25331 | + | 1.87830i | −0.149587 | + | 0.0863643i | ||||
\(474\) | −1.64178 | + | 10.6057i | −0.0754097 | + | 0.487137i | ||||
\(475\) | −20.0205 | − | 74.7175i | −0.918604 | − | 3.42828i | ||||
\(476\) | 0.618370 | − | 12.9829i | 0.0283429 | − | 0.595071i | ||||
\(477\) | −20.6576 | − | 11.8654i | −0.945845 | − | 0.543278i | ||||
\(478\) | −0.248614 | + | 10.4454i | −0.0113713 | + | 0.477761i | ||||
\(479\) | −11.7030 | + | 20.2702i | −0.534724 | + | 0.926169i | 0.464453 | + | 0.885598i | \(0.346251\pi\) |
−0.999177 | + | 0.0405710i | \(0.987082\pi\) | |||||||
\(480\) | −20.3668 | + | 36.3623i | −0.929612 | + | 1.65971i | ||||
\(481\) | −9.77797 | − | 16.9359i | −0.445837 | − | 0.772212i | ||||
\(482\) | −27.7923 | + | 15.1758i | −1.26590 | + | 0.691241i | ||||
\(483\) | −3.09202 | + | 4.03891i | −0.140692 | + | 0.183777i | ||||
\(484\) | 15.9801 | + | 10.2697i | 0.726369 | + | 0.466803i | ||||
\(485\) | −25.1064 | + | 25.1064i | −1.14002 | + | 1.14002i | ||||
\(486\) | 13.7369 | − | 17.2423i | 0.623120 | − | 0.782126i | ||||
\(487\) | − | 21.0301i | − | 0.952967i | −0.879183 | − | 0.476483i | \(-0.841911\pi\) | ||
0.879183 | − | 0.476483i | \(-0.158089\pi\) | |||||||
\(488\) | 2.62832 | + | 13.6363i | 0.118979 | + | 0.617288i | ||||
\(489\) | 25.6860 | − | 3.41073i | 1.16156 | − | 0.154239i | ||||
\(490\) | 5.83655 | − | 19.8777i | 0.263669 | − | 0.897983i | ||||
\(491\) | 25.4606 | + | 6.82214i | 1.14902 | + | 0.307879i | 0.782572 | − | 0.622560i | \(-0.213907\pi\) |
0.366447 | + | 0.930439i | \(0.380574\pi\) | |||||||
\(492\) | 12.9151 | − | 4.65912i | 0.582258 | − | 0.210049i | ||||
\(493\) | 4.41580 | − | 1.18321i | 0.198877 | − | 0.0532891i | ||||
\(494\) | 20.0110 | + | 0.476289i | 0.900339 | + | 0.0214292i | ||||
\(495\) | −15.0987 | + | 4.08177i | −0.678638 | + | 0.183462i | ||||
\(496\) | −10.0216 | − | 0.956819i | −0.449983 | − | 0.0429625i | ||||
\(497\) | 13.1944 | − | 22.8533i | 0.591849 | − | 1.02511i | ||||
\(498\) | −6.99485 | + | 5.11953i | −0.313447 | + | 0.229412i | ||||
\(499\) | −3.44223 | + | 12.8466i | −0.154095 | + | 0.575092i | 0.845086 | + | 0.534631i | \(0.179549\pi\) |
−0.999181 | + | 0.0404610i | \(0.987117\pi\) | |||||||
\(500\) | 20.9663 | − | 65.5896i | 0.937640 | − | 2.93326i | ||||
\(501\) | 4.84419 | − | 37.1147i | 0.216422 | − | 1.65816i | ||||
\(502\) | 14.6226 | − | 3.54746i | 0.652640 | − | 0.158331i | ||||
\(503\) | 7.97796i | 0.355720i | 0.984056 | + | 0.177860i | \(0.0569174\pi\) | ||||
−0.984056 | + | 0.177860i | \(0.943083\pi\) | |||||||
\(504\) | 15.1330 | + | 5.19970i | 0.674077 | + | 0.231613i | ||||
\(505\) | − | 31.7417i | − | 1.41249i | ||||||
\(506\) | −0.636404 | − | 2.62326i | −0.0282916 | − | 0.116618i | ||||
\(507\) | 11.6115 | − | 4.82479i | 0.515683 | − | 0.214276i | ||||
\(508\) | 4.48913 | + | 8.70757i | 0.199173 | + | 0.386336i | ||||
\(509\) | −8.92371 | + | 33.3037i | −0.395536 | + | 1.47616i | 0.425328 | + | 0.905039i | \(0.360159\pi\) |
−0.820865 | + | 0.571123i | \(0.806508\pi\) | |||||||
\(510\) | 35.6975 | − | 3.87822i | 1.58071 | − | 0.171731i | ||||
\(511\) | −0.0263151 | + | 0.0455792i | −0.00116411 | + | 0.00201630i | ||||
\(512\) | −4.80918 | + | 22.1104i | −0.212538 | + | 0.977153i | ||||
\(513\) | 11.8417 | + | 28.3204i | 0.522825 | + | 1.25038i | ||||
\(514\) | 0.149183 | − | 6.26784i | 0.00658016 | − | 0.276463i | ||||
\(515\) | 57.9785 | − | 15.5353i | 2.55484 | − | 0.684567i | ||||
\(516\) | 0.895253 | + | 10.5795i | 0.0394113 | + | 0.465739i | ||||
\(517\) | 0.546229 | + | 0.146362i | 0.0240231 | + | 0.00643697i | ||||
\(518\) | 20.8860 | + | 6.13261i | 0.917678 | + | 0.269451i | ||||
\(519\) | 12.7955 | − | 30.9886i | 0.561658 | − | 1.36025i | ||||
\(520\) | 23.8724 | + | 16.1570i | 1.04687 | + | 0.708530i | ||||
\(521\) | 20.0111i | 0.876703i | 0.898804 | + | 0.438352i | \(0.144438\pi\) | ||||
−0.898804 | + | 0.438352i | \(0.855562\pi\) | |||||||
\(522\) | −0.121382 | + | 5.62675i | −0.00531276 | + | 0.246276i | ||||
\(523\) | −11.2432 | + | 11.2432i | −0.491633 | + | 0.491633i | −0.908820 | − | 0.417188i | \(-0.863016\pi\) |
0.417188 | + | 0.908820i | \(0.363016\pi\) | |||||||
\(524\) | 35.9632 | − | 7.82355i | 1.57106 | − | 0.341773i | ||||
\(525\) | −42.4089 | − | 5.53518i | −1.85087 | − | 0.241575i | ||||
\(526\) | 3.61528 | + | 6.62083i | 0.157634 | + | 0.288682i | ||||
\(527\) | 4.33671 | + | 7.51140i | 0.188910 | + | 0.327202i | ||||
\(528\) | −7.19263 | + | 4.51368i | −0.313019 | + | 0.196433i | ||||
\(529\) | −10.2874 | + | 17.8183i | −0.447278 | + | 0.774708i | ||||
\(530\) | 47.7562 | + | 1.13666i | 2.07440 | + | 0.0493733i | ||||
\(531\) | 0.0755992 | + | 33.9347i | 0.00328072 | + | 1.47264i | ||||
\(532\) | −16.4865 | + | 14.9874i | −0.714780 | + | 0.649786i | ||||
\(533\) | −2.45777 | − | 9.17253i | −0.106458 | − | 0.397306i | ||||
\(534\) | −4.20666 | − | 10.8452i | −0.182040 | − | 0.469318i | ||||
\(535\) | 20.0569 | − | 11.5799i | 0.867137 | − | 0.500642i | ||||
\(536\) | 0.792992 | + | 0.274449i | 0.0342520 | + | 0.0118544i | ||||
\(537\) | −6.99685 | + | 0.929082i | −0.301936 | + | 0.0400929i | ||||
\(538\) | −9.73255 | − | 40.1176i | −0.419600 | − | 1.72959i | ||||
\(539\) | 2.98466 | − | 2.98466i | 0.128559 | − | 0.128559i | ||||
\(540\) | −7.70319 | + | 43.5295i | −0.331493 | + | 1.87321i | ||||
\(541\) | 9.38252 | + | 9.38252i | 0.403386 | + | 0.403386i | 0.879424 | − | 0.476038i | \(-0.157928\pi\) |
−0.476038 | + | 0.879424i | \(0.657928\pi\) | |||||||
\(542\) | −28.0567 | − | 17.1013i | −1.20514 | − | 0.734564i | ||||
\(543\) | 3.06366 | + | 23.0722i | 0.131474 | + | 0.990123i | ||||
\(544\) | 17.9206 | − | 7.67440i | 0.768341 | − | 0.329037i | ||||
\(545\) | −6.27481 | − | 10.8683i | −0.268783 | − | 0.465546i | ||||
\(546\) | 4.46606 | − | 10.1261i | 0.191130 | − | 0.433357i | ||||
\(547\) | 36.2034 | − | 9.70067i | 1.54794 | − | 0.414770i | 0.619122 | − | 0.785295i | \(-0.287489\pi\) |
0.928823 | + | 0.370524i | \(0.120822\pi\) | |||||||
\(548\) | 1.47445 | − | 30.9566i | 0.0629854 | − | 1.32240i | ||||
\(549\) | 7.39327 | + | 12.7399i | 0.315537 | + | 0.543725i | ||||
\(550\) | 16.4261 | − | 15.6624i | 0.700411 | − | 0.667845i | ||||
\(551\) | −6.78671 | − | 3.91831i | −0.289123 | − | 0.166926i | ||||
\(552\) | −7.47537 | − | 1.52449i | −0.318173 | − | 0.0648865i | ||||
\(553\) | −7.15532 | + | 4.13113i | −0.304275 | + | 0.175673i | ||||
\(554\) | −7.84095 | + | 26.7041i | −0.333130 | + | 1.13455i | ||||
\(555\) | −7.78291 | + | 59.6303i | −0.330366 | + | 2.53116i | ||||
\(556\) | 3.13472 | + | 14.4096i | 0.132942 | + | 0.611104i | ||||
\(557\) | 9.01169 | + | 9.01169i | 0.381838 | + | 0.381838i | 0.871764 | − | 0.489926i | \(-0.162976\pi\) |
−0.489926 | + | 0.871764i | \(0.662976\pi\) | |||||||
\(558\) | −10.3712 | + | 2.54054i | −0.439049 | + | 0.107550i | ||||
\(559\) | 7.34341 | 0.310593 | ||||||||
\(560\) | −31.6419 | + | 5.32126i | −1.33711 | + | 0.224864i | ||||
\(561\) | 6.76220 | + | 2.79217i | 0.285500 | + | 0.117886i | ||||
\(562\) | −12.7575 | − | 23.3634i | −0.538143 | − | 0.985528i | ||||
\(563\) | 4.39477 | − | 16.4015i | 0.185218 | − | 0.691241i | −0.809366 | − | 0.587304i | \(-0.800189\pi\) |
0.994584 | − | 0.103937i | \(-0.0331441\pi\) | |||||||
\(564\) | 1.03083 | − | 1.22142i | 0.0434060 | − | 0.0514312i | ||||
\(565\) | 4.50942 | + | 16.8294i | 0.189713 | + | 0.708018i | ||||
\(566\) | −12.9654 | − | 13.5976i | −0.544976 | − | 0.571551i | ||||
\(567\) | 16.9719 | − | 0.0756196i | 0.712751 | − | 0.00317573i | ||||
\(568\) | 39.4789 | + | 2.82321i | 1.65650 | + | 0.118459i | ||||
\(569\) | −14.1855 | − | 8.19001i | −0.594688 | − | 0.343343i | 0.172261 | − | 0.985051i | \(-0.444893\pi\) |
−0.766949 | + | 0.641708i | \(0.778226\pi\) | |||||||
\(570\) | −47.9708 | − | 38.5690i | −2.00928 | − | 1.61548i | ||||
\(571\) | 35.7827 | + | 9.58794i | 1.49746 | + | 0.401243i | 0.912248 | − | 0.409638i | \(-0.134345\pi\) |
0.585211 | + | 0.810881i | \(0.301012\pi\) | |||||||
\(572\) | 2.69126 | + | 5.22024i | 0.112527 | + | 0.218269i | ||||
\(573\) | −3.14250 | − | 7.56284i | −0.131280 | − | 0.315942i | ||||
\(574\) | 9.02564 | + | 5.50138i | 0.376723 | + | 0.229623i | ||||
\(575\) | 20.3914 | 0.850382 | ||||||||
\(576\) | 2.90279 | + | 23.8238i | 0.120950 | + | 0.992659i | ||||
\(577\) | −2.14863 | −0.0894487 | −0.0447243 | − | 0.998999i | \(-0.514241\pi\) | ||||
−0.0447243 | + | 0.998999i | \(0.514241\pi\) | |||||||
\(578\) | 6.18709 | + | 3.77120i | 0.257349 | + | 0.156861i | ||||
\(579\) | 33.5439 | + | 4.37813i | 1.39404 | + | 0.181949i | ||||
\(580\) | −5.17137 | − | 10.0309i | −0.214729 | − | 0.416510i | ||||
\(581\) | −6.44597 | − | 1.72719i | −0.267424 | − | 0.0716560i | ||||
\(582\) | −3.12782 | + | 20.2053i | −0.129652 | + | 0.837537i | ||||
\(583\) | 8.42888 | + | 4.86642i | 0.349088 | + | 0.201546i | ||||
\(584\) | −0.0787375 | − | 0.00563067i | −0.00325818 | − | 0.000232999i | ||||
\(585\) | 29.5503 | + | 7.84747i | 1.22176 | + | 0.324453i | ||||
\(586\) | 8.32107 | + | 8.72684i | 0.343740 | + | 0.360502i | ||||
\(587\) | 5.78807 | + | 21.6014i | 0.238899 | + | 0.891585i | 0.976352 | + | 0.216186i | \(0.0693618\pi\) |
−0.737453 | + | 0.675399i | \(0.763972\pi\) | |||||||
\(588\) | −4.04830 | − | 11.2219i | −0.166949 | − | 0.462783i | ||||
\(589\) | 3.84813 | − | 14.3614i | 0.158559 | − | 0.591752i | ||||
\(590\) | −32.6114 | − | 59.7230i | −1.34259 | − | 2.45876i | ||||
\(591\) | −2.22464 | − | 16.7536i | −0.0915095 | − | 0.689151i | ||||
\(592\) | 5.41455 | + | 32.1967i | 0.222537 | + | 1.32327i | ||||
\(593\) | 10.7128 | 0.439921 | 0.219960 | − | 0.975509i | \(-0.429407\pi\) | ||||
0.219960 | + | 0.975509i | \(0.429407\pi\) | |||||||
\(594\) | −5.62794 | + | 7.03186i | −0.230917 | + | 0.288521i | ||||
\(595\) | 19.5473 | + | 19.5473i | 0.801361 | + | 0.801361i | ||||
\(596\) | 3.28356 | + | 15.0938i | 0.134500 | + | 0.618267i | ||||
\(597\) | −33.6608 | − | 25.7693i | −1.37764 | − | 1.05467i | ||||
\(598\) | −1.48660 | + | 5.06295i | −0.0607916 | + | 0.207040i | ||||
\(599\) | −23.8944 | + | 13.7955i | −0.976300 | + | 0.563667i | −0.901151 | − | 0.433505i | \(-0.857277\pi\) |
−0.0751489 | + | 0.997172i | \(0.523943\pi\) | |||||||
\(600\) | −20.3261 | − | 60.8418i | −0.829808 | − | 2.48386i | ||||
\(601\) | 9.37490 | + | 5.41260i | 0.382410 | + | 0.220785i | 0.678866 | − | 0.734262i | \(-0.262472\pi\) |
−0.296456 | + | 0.955046i | \(0.595805\pi\) | |||||||
\(602\) | −5.91575 | + | 5.64069i | −0.241108 | + | 0.229897i | ||||
\(603\) | 0.890041 | − | 0.00198282i | 0.0362453 | − | 8.07466e-5i | ||||
\(604\) | 0.369760 | − | 7.76325i | 0.0150453 | − | 0.315882i | ||||
\(605\) | −39.0241 | + | 10.4565i | −1.58655 | + | 0.425116i | ||||
\(606\) | −10.7954 | − | 14.7499i | −0.438534 | − | 0.599172i | ||||
\(607\) | 19.0270 | + | 32.9557i | 0.772282 | + | 1.33763i | 0.936310 | + | 0.351175i | \(0.114218\pi\) |
−0.164028 | + | 0.986456i | \(0.552449\pi\) | |||||||
\(608\) | −31.0244 | − | 12.4197i | −1.25821 | − | 0.503687i | ||||
\(609\) | −3.43455 | + | 2.64150i | −0.139175 | + | 0.107039i | ||||
\(610\) | −25.2206 | − | 15.3726i | −1.02115 | − | 0.622419i | ||||
\(611\) | −0.781661 | − | 0.781661i | −0.0316226 | − | 0.0316226i | ||||
\(612\) | 15.2691 | − | 13.9430i | 0.617217 | − | 0.563611i | ||||
\(613\) | −34.9758 | + | 34.9758i | −1.41266 | + | 1.41266i | −0.673168 | + | 0.739489i | \(0.735067\pi\) |
−0.739489 | + | 0.673168i | \(0.764933\pi\) | |||||||
\(614\) | 3.36460 | + | 13.8689i | 0.135784 | + | 0.559702i | ||||
\(615\) | −11.1448 | + | 26.9909i | −0.449401 | + | 1.08838i | ||||
\(616\) | −6.17787 | − | 2.13812i | −0.248913 | − | 0.0861472i | ||||
\(617\) | 11.9478 | − | 6.89807i | 0.481001 | − | 0.277706i | −0.239833 | − | 0.970814i | \(-0.577093\pi\) |
0.720834 | + | 0.693108i | \(0.243759\pi\) | |||||||
\(618\) | 21.6581 | − | 26.9376i | 0.871218 | − | 1.08359i | ||||
\(619\) | −8.82171 | − | 32.9231i | −0.354574 | − | 1.32329i | −0.881019 | − | 0.473080i | \(-0.843142\pi\) |
0.526445 | − | 0.850209i | \(-0.323525\pi\) | |||||||
\(620\) | 15.8433 | − | 14.4027i | 0.636282 | − | 0.578426i | ||||
\(621\) | −8.01922 | + | 1.08302i | −0.321800 | + | 0.0434603i | ||||
\(622\) | 16.4463 | + | 0.391444i | 0.659438 | + | 0.0156955i | ||||
\(623\) | 4.47773 | − | 7.75565i | 0.179396 | − | 0.310724i | ||||
\(624\) | 16.5881 | − | 0.611158i | 0.664057 | − | 0.0244659i | ||||
\(625\) | 40.4916 | + | 70.1335i | 1.61966 | + | 2.80534i | ||||
\(626\) | 4.51534 | + | 8.26917i | 0.180469 | + | 0.330503i | ||||
\(627\) | −4.81217 | − | 11.5811i | −0.192180 | − | 0.462505i | ||||
\(628\) | −12.6118 | + | 2.74362i | −0.503267 | + | 0.109482i | ||||
\(629\) | 19.8900 | − | 19.8900i | 0.793066 | − | 0.793066i | ||||
\(630\) | −29.8332 | + | 16.3767i | −1.18858 | + | 0.652463i | ||||
\(631\) | 7.97657i | 0.317542i | 0.987315 | + | 0.158771i | \(0.0507532\pi\) | ||||
−0.987315 | + | 0.158771i | \(0.949247\pi\) | |||||||
\(632\) | −10.2627 | − | 6.94589i | −0.408230 | − | 0.276293i | ||||
\(633\) | 23.1580 | + | 30.1106i | 0.920449 | + | 1.19679i | ||||
\(634\) | 3.71494 | + | 1.09079i | 0.147539 | + | 0.0433209i | ||||
\(635\) | −20.1260 | − | 5.39276i | −0.798677 | − | 0.214005i | ||||
\(636\) | 22.5782 | − | 15.7138i | 0.895282 | − | 0.623093i | ||||
\(637\) | −7.96998 | + | 2.13555i | −0.315782 | + | 0.0846135i | ||||
\(638\) | 0.0547121 | − | 2.29871i | 0.00216607 | − | 0.0910066i | ||||
\(639\) | 40.5259 | − | 10.9557i | 1.60318 | − | 0.433401i | ||||
\(640\) | −27.9162 | − | 39.2010i | −1.10349 | − | 1.54956i | ||||
\(641\) | −18.6956 | + | 32.3818i | −0.738434 | + | 1.27900i | 0.214767 | + | 0.976665i | \(0.431101\pi\) |
−0.953200 | + | 0.302339i | \(0.902232\pi\) | |||||||
\(642\) | 5.38181 | − | 12.2024i | 0.212403 | − | 0.481591i | ||||
\(643\) | −3.34308 | + | 12.4765i | −0.131838 | + | 0.492026i | −0.999991 | − | 0.00427070i | \(-0.998641\pi\) |
0.868153 | + | 0.496297i | \(0.165307\pi\) | |||||||
\(644\) | −2.69142 | − | 5.22055i | −0.106057 | − | 0.205719i | ||||
\(645\) | −17.9305 | − | 13.7268i | −0.706011 | − | 0.540493i | ||||
\(646\) | 6.78793 | + | 27.9799i | 0.267068 | + | 1.10085i | ||||
\(647\) | 4.85394i | 0.190828i | 0.995438 | + | 0.0954140i | \(0.0304175\pi\) | ||||
−0.995438 | + | 0.0954140i | \(0.969582\pi\) | |||||||
\(648\) | 11.2249 | + | 22.8473i | 0.440956 | + | 0.897529i | ||||
\(649\) | − | 13.8641i | − | 0.544215i | ||||||
\(650\) | −43.1163 | + | 10.4600i | −1.69116 | + | 0.410277i | ||||
\(651\) | −6.52735 | − | 4.99707i | −0.255827 | − | 0.195851i | ||||
\(652\) | −9.11004 | + | 28.4993i | −0.356777 | + | 1.11612i | ||||
\(653\) | 10.0280 | − | 37.4249i | 0.392425 | − | 1.46455i | −0.433696 | − | 0.901059i | \(-0.642791\pi\) |
0.826121 | − | 0.563492i | \(-0.190542\pi\) | |||||||
\(654\) | −6.61213 | − | 2.91625i | −0.258555 | − | 0.114034i | ||||
\(655\) | −39.1387 | + | 67.7902i | −1.52928 | + | 2.64878i | ||||
\(656\) | −1.50680 | + | 15.7820i | −0.0588307 | + | 0.616185i | ||||
\(657\) | −0.0808256 | + | 0.0218503i | −0.00315331 | + | 0.000852460i | ||||
\(658\) | 1.23011 | + | 0.0292783i | 0.0479548 | + | 0.00114139i | ||||
\(659\) | −36.7794 | + | 9.85502i | −1.43272 | + | 0.383897i | −0.889979 | − | 0.456001i | \(-0.849281\pi\) |
−0.542744 | + | 0.839898i | \(0.682615\pi\) | |||||||
\(660\) | 3.18677 | − | 17.7770i | 0.124045 | − | 0.691969i | ||||
\(661\) | −11.5820 | − | 3.10339i | −0.450488 | − | 0.120708i | 0.0264400 | − | 0.999650i | \(-0.491583\pi\) |
−0.476927 | + | 0.878943i | \(0.658250\pi\) | |||||||
\(662\) | 8.11717 | − | 27.6449i | 0.315483 | − | 1.07445i | ||||
\(663\) | −8.71871 | − | 11.3363i | −0.338606 | − | 0.440264i | ||||
\(664\) | −1.89434 | − | 9.82827i | −0.0735146 | − | 0.381411i | ||||
\(665\) | − | 47.3876i | − | 1.83761i | ||||||
\(666\) | 16.6638 | + | 30.3563i | 0.645709 | + | 1.17628i | ||||
\(667\) | 1.46077 | − | 1.46077i | 0.0565613 | − | 0.0565613i | ||||
\(668\) | 36.3590 | + | 23.3662i | 1.40677 | + | 0.904064i | ||||
\(669\) | 2.08669 | + | 5.02188i | 0.0806760 | + | 0.194157i | ||||
\(670\) | −1.56642 | + | 0.855335i | −0.0605160 | + | 0.0330445i | ||||
\(671\) | −3.00893 | − | 5.21163i | −0.116159 | − | 0.201193i | ||||
\(672\) | −12.8937 | + | 13.2342i | −0.497387 | + | 0.510520i | ||||
\(673\) | 14.9076 | − | 25.8207i | 0.574645 | − | 0.995314i | −0.421435 | − | 0.906858i | \(-0.638474\pi\) |
0.996080 | − | 0.0884554i | \(-0.0281931\pi\) | |||||||
\(674\) | −0.0346286 | + | 1.45491i | −0.00133385 | + | 0.0560409i | ||||
\(675\) | −41.5994 | − | 53.8399i | −1.60116 | − | 2.07230i | ||||
\(676\) | −0.690758 | + | 14.5027i | −0.0265676 | + | 0.557797i | ||||
\(677\) | −7.34993 | − | 27.4303i | −0.282481 | − | 1.05423i | −0.950661 | − | 0.310233i | \(-0.899593\pi\) |
0.668180 | − | 0.744000i | \(-0.267074\pi\) | |||||||
\(678\) | 7.81917 | + | 6.28669i | 0.300294 | + | 0.241439i | ||||
\(679\) | −13.6318 | + | 7.87034i | −0.523142 | + | 0.302036i | ||||
\(680\) | −13.5607 | + | 39.1822i | −0.520028 | + | 1.50257i | ||||
\(681\) | −9.30909 | + | 22.5451i | −0.356725 | + | 0.863931i | ||||
\(682\) | 4.23949 | − | 1.02850i | 0.162338 | − | 0.0393834i | ||||
\(683\) | 34.9639 | − | 34.9639i | 1.33786 | − | 1.33786i | 0.439721 | − | 0.898134i | \(-0.355077\pi\) |
0.898134 | − | 0.439721i | \(-0.144923\pi\) | |||||||
\(684\) | −35.4087 | − | 1.60745i | −1.35389 | − | 0.0614623i | ||||
\(685\) | 46.6088 | + | 46.6088i | 1.78083 | + | 1.78083i | ||||
\(686\) | 14.4963 | − | 23.7829i | 0.553472 | − | 0.908034i | ||||
\(687\) | 26.0576 | − | 20.0408i | 0.994159 | − | 0.764606i | ||||
\(688\) | −11.4869 | − | 4.28424i | −0.437935 | − | 0.163335i | ||||
\(689\) | −9.51288 | − | 16.4768i | −0.362412 | − | 0.627716i | ||||
\(690\) | 13.0939 | − | 9.58340i | 0.498475 | − | 0.364834i | ||||
\(691\) | 12.5989 | − | 3.37585i | 0.479283 | − | 0.128424i | −0.0110856 | − | 0.999939i | \(-0.503529\pi\) |
0.490369 | + | 0.871515i | \(0.336862\pi\) | |||||||
\(692\) | 26.0408 | + | 28.6455i | 0.989922 | + | 1.08894i | ||||
\(693\) | −6.93394 | + | 0.0154473i | −0.263399 | + | 0.000586795i | ||||
\(694\) | −30.4680 | − | 31.9538i | −1.15655 | − | 1.21295i | ||||
\(695\) | −27.1620 | − | 15.6820i | −1.03031 | − | 0.594851i | ||||
\(696\) | −5.81459 | − | 2.90241i | −0.220401 | − | 0.110016i | ||||
\(697\) | 11.8290 | − | 6.82946i | 0.448054 | − | 0.258684i | ||||
\(698\) | 24.2384 | + | 7.11695i | 0.917437 | + | 0.269381i | ||||
\(699\) | −17.4391 | − | 13.3507i | −0.659608 | − | 0.504969i | ||||
\(700\) | 26.6992 | − | 41.5454i | 1.00914 | − | 1.57027i | ||||
\(701\) | −1.18582 | − | 1.18582i | −0.0447879 | − | 0.0447879i | 0.684358 | − | 0.729146i | \(-0.260083\pi\) |
−0.729146 | + | 0.684358i | \(0.760083\pi\) | |||||||
\(702\) | 16.4005 | − | 6.40354i | 0.618998 | − | 0.241686i | ||||
\(703\) | −48.2184 | −1.81859 | ||||||||
\(704\) | −1.16425 | − | 9.73589i | −0.0438795 | − | 0.366935i | ||||
\(705\) | 0.447452 | + | 3.36973i | 0.0168520 | + | 0.126911i | ||||
\(706\) | 2.55261 | − | 1.39384i | 0.0960689 | − | 0.0524580i | ||||
\(707\) | 3.64208 | − | 13.5924i | 0.136975 | − | 0.511196i | ||||
\(708\) | −35.4660 | − | 16.6611i | −1.33289 | − | 0.626163i | ||||
\(709\) | −3.58808 | − | 13.3909i | −0.134753 | − | 0.502906i | −0.999999 | − | 0.00155784i | \(-0.999504\pi\) |
0.865245 | − | 0.501349i | \(-0.167163\pi\) | |||||||
\(710\) | −60.9239 | + | 58.0912i | −2.28643 | + | 2.18012i | ||||
\(711\) | −12.7037 | − | 3.37363i | −0.476426 | − | 0.126521i | ||||
\(712\) | 13.3978 | + | 0.958103i | 0.502104 | + | 0.0359064i | ||||
\(713\) | 3.39432 | + | 1.95971i | 0.127118 | + | 0.0733919i | ||||
\(714\) | 15.7314 | + | 2.43525i | 0.588733 | + | 0.0911368i | ||||
\(715\) | −12.0657 | − | 3.23299i | −0.451231 | − | 0.120907i | ||||
\(716\) | 2.48157 | − | 7.76320i | 0.0927406 | − | 0.290124i | ||||
\(717\) | −12.6889 | − | 1.65615i | −0.473877 | − | 0.0618502i | ||||
\(718\) | −3.50785 | + | 5.75504i | −0.130912 | + | 0.214776i | ||||
\(719\) | 22.9314 | 0.855198 | 0.427599 | − | 0.903968i | \(-0.359359\pi\) | ||||
0.427599 | + | 0.903968i | \(0.359359\pi\) | |||||||
\(720\) | −41.6458 | − | 29.5155i | −1.55205 | − | 1.09998i | ||||
\(721\) | 26.6101 | 0.991013 | ||||||||
\(722\) | 11.7024 | − | 19.1991i | 0.435518 | − | 0.714517i | ||||
\(723\) | −14.8813 | − | 35.8137i | −0.553441 | − | 1.33193i | ||||
\(724\) | −25.5992 | − | 8.18301i | −0.951389 | − | 0.304119i | ||||
\(725\) | 16.7780 | + | 4.49564i | 0.623118 | + | 0.166964i | ||||
\(726\) | −14.5776 | + | 18.1311i | −0.541026 | + | 0.672910i | ||||
\(727\) | −14.6244 | − | 8.44338i | −0.542387 | − | 0.313147i | 0.203659 | − | 0.979042i | \(-0.434717\pi\) |
−0.746046 | + | 0.665894i | \(0.768050\pi\) | |||||||
\(728\) | 8.36877 | + | 9.65789i | 0.310167 | + | 0.357945i | ||||
\(729\) | 19.2191 | + | 18.9639i | 0.711817 | + | 0.702365i | ||||
\(730\) | 0.121508 | − | 0.115858i | 0.00449721 | − | 0.00428811i | ||||
\(731\) | 2.73379 | + | 10.2026i | 0.101113 | + | 0.377358i | ||||
\(732\) | −16.9479 | + | 1.43415i | −0.626411 | + | 0.0530076i | ||||
\(733\) | 10.4817 | − | 39.1181i | 0.387149 | − | 1.44486i | −0.447603 | − | 0.894232i | \(-0.647722\pi\) |
0.834752 | − | 0.550626i | \(-0.185611\pi\) | |||||||
\(734\) | −21.3744 | + | 11.6714i | −0.788943 | + | 0.430799i | ||||
\(735\) | 23.4523 | + | 9.68366i | 0.865051 | + | 0.357187i | ||||
\(736\) | 5.27921 | − | 7.05243i | 0.194594 | − | 0.259956i | ||||
\(737\) | −0.363629 | −0.0133945 | ||||||||
\(738\) | 4.00085 | + | 16.3326i | 0.147273 | + | 0.601212i | ||||
\(739\) | 20.2719 | + | 20.2719i | 0.745713 | + | 0.745713i | 0.973671 | − | 0.227958i | \(-0.0732050\pi\) |
−0.227958 | + | 0.973671i | \(0.573205\pi\) | |||||||
\(740\) | −58.4161 | − | 37.5413i | −2.14742 | − | 1.38004i | ||||
\(741\) | −3.17282 | + | 24.3092i | −0.116557 | + | 0.893020i | ||||
\(742\) | 20.3198 | + | 5.96635i | 0.745962 | + | 0.219032i | ||||
\(743\) | −33.3722 | + | 19.2674i | −1.22431 | + | 0.706853i | −0.965833 | − | 0.259165i | \(-0.916553\pi\) |
−0.258473 | + | 0.966019i | \(0.583219\pi\) | |||||||
\(744\) | 2.46375 | − | 12.0811i | 0.0903254 | − | 0.442913i | ||||
\(745\) | −28.4517 | − | 16.4266i | −1.04239 | − | 0.601824i | ||||
\(746\) | 16.2043 | + | 16.9944i | 0.593280 | + | 0.622210i | ||||
\(747\) | −5.32863 | − | 9.18216i | −0.194964 | − | 0.335958i | ||||
\(748\) | −6.25090 | + | 5.68251i | −0.228555 | + | 0.207773i | ||||
\(749\) | 9.91749 | − | 2.65738i | 0.362377 | − | 0.0970987i | ||||
\(750\) | 77.1632 | + | 34.0324i | 2.81760 | + | 1.24269i | ||||
\(751\) | −2.59701 | − | 4.49815i | −0.0947663 | − | 0.164140i | 0.814745 | − | 0.579820i | \(-0.196877\pi\) |
−0.909511 | + | 0.415680i | \(0.863544\pi\) | |||||||
\(752\) | 0.766683 | + | 1.67875i | 0.0279581 | + | 0.0612176i | ||||
\(753\) | 2.42575 | + | 18.2681i | 0.0883991 | + | 0.665727i | ||||
\(754\) | −2.33938 | + | 3.83802i | −0.0851952 | + | 0.139773i | ||||
\(755\) | 11.6885 | + | 11.6885i | 0.425388 | + | 0.425388i | ||||
\(756\) | −8.29330 | + | 17.7563i | −0.301624 | + | 0.645792i | ||||
\(757\) | 16.3310 | − | 16.3310i | 0.593562 | − | 0.593562i | −0.345030 | − | 0.938592i | \(-0.612131\pi\) |
0.938592 | + | 0.345030i | \(0.112131\pi\) | |||||||
\(758\) | 43.8755 | − | 10.6442i | 1.59363 | − | 0.386616i | ||||
\(759\) | 3.27725 | − | 0.435172i | 0.118957 | − | 0.0157957i | ||||
\(760\) | 63.9311 | − | 31.0566i | 2.31902 | − | 1.12654i | ||||
\(761\) | 30.2706 | − | 17.4767i | 1.09731 | − | 0.633530i | 0.161794 | − | 0.986824i | \(-0.448272\pi\) |
0.935512 | + | 0.353294i | \(0.114939\pi\) | |||||||
\(762\) | −11.1863 | + | 4.33898i | −0.405239 | + | 0.157185i | ||||
\(763\) | −1.43996 | − | 5.37400i | −0.0521300 | − | 0.194552i | ||||
\(764\) | 9.44599 | + | 0.449908i | 0.341744 | + | 0.0162771i | ||||
\(765\) | 0.0979723 | + | 43.9775i | 0.00354220 | + | 1.59001i | ||||
\(766\) | −0.849026 | + | 35.6715i | −0.0306766 | + | 1.28886i | ||||
\(767\) | −13.5508 | + | 23.4707i | −0.489292 | + | 0.847478i | ||||
\(768\) | −26.3046 | − | 8.72174i | −0.949185 | − | 0.314719i | ||||
\(769\) | −11.5439 | − | 19.9946i | −0.416284 | − | 0.721024i | 0.579279 | − | 0.815130i | \(-0.303334\pi\) |
−0.995562 | + | 0.0941052i | \(0.970001\pi\) | |||||||
\(770\) | 12.2033 | − | 6.66356i | 0.439777 | − | 0.240138i | ||||
\(771\) | 7.61410 | + | 0.993788i | 0.274215 | + | 0.0357904i | ||||
\(772\) | −21.1181 | + | 32.8609i | −0.760059 | + | 1.18269i | ||||
\(773\) | 14.4736 | − | 14.4736i | 0.520581 | − | 0.520581i | −0.397166 | − | 0.917747i | \(-0.630006\pi\) |
0.917747 | + | 0.397166i | \(0.130006\pi\) | |||||||
\(774\) | −13.0005 | − | 0.280452i | −0.467294 | − | 0.0100806i | ||||
\(775\) | 32.9549i | 1.18378i | ||||||||
\(776\) | −19.5519 | − | 13.2328i | −0.701872 | − | 0.475031i | ||||
\(777\) | −10.1749 | + | 24.6419i | −0.365021 | + | 0.884023i | ||||
\(778\) | −2.92684 | + | 9.96801i | −0.104932 | + | 0.357371i | ||||
\(779\) | −22.6164 | − | 6.06004i | −0.810316 | − | 0.217124i | ||||
\(780\) | −22.7702 | + | 26.9801i | −0.815303 | + | 0.966042i | ||||
\(781\) | −16.5669 | + | 4.43908i | −0.592809 | + | 0.158843i | ||||
\(782\) | −7.58770 | − | 0.180597i | −0.271335 | − | 0.00645813i | ||||
\(783\) | −6.83694 | − | 0.876867i | −0.244332 | − | 0.0313367i | ||||
\(784\) | 13.7130 | + | 1.30925i | 0.489749 | + | 0.0467591i | ||||
\(785\) | 13.7254 | − | 23.7732i | 0.489882 | − | 0.848501i | ||||
\(786\) | 4.86846 | + | 44.8122i | 0.173652 | + | 1.59840i | ||||
\(787\) | 8.92022 | − | 33.2907i | 0.317971 | − | 1.18669i | −0.603220 | − | 0.797575i | \(-0.706116\pi\) |
0.921191 | − | 0.389110i | \(-0.127218\pi\) | |||||||
\(788\) | 18.5886 | + | 5.94200i | 0.662191 | + | 0.211675i | ||||
\(789\) | −8.53175 | + | 3.54511i | −0.303738 | + | 0.126209i | ||||
\(790\) | 25.6137 | − | 6.21389i | 0.911293 | − | 0.221080i | ||||
\(791\) | 7.72411i | 0.274638i | ||||||||
\(792\) | −4.56516 | − | 9.34453i | −0.162216 | − | 0.332043i | ||||
\(793\) | 11.7637i | 0.417743i | ||||||||
\(794\) | 1.05261 | + | 4.33887i | 0.0373558 | + | 0.153981i | ||||
\(795\) | −7.57191 | + | 58.0137i | −0.268548 | + | 2.05753i | ||||
\(796\) | 43.5087 | − | 22.4306i | 1.54212 | − | 0.795032i | ||||
\(797\) | −5.11099 | + | 19.0745i | −0.181040 | + | 0.675652i | 0.814403 | + | 0.580299i | \(0.197064\pi\) |
−0.995444 | + | 0.0953525i | \(0.969602\pi\) | |||||||
\(798\) | −16.1166 | − | 22.0203i | −0.570523 | − | 0.779510i | ||||
\(799\) | 0.795014 | − | 1.37700i | 0.0281256 | − | 0.0487149i | ||||
\(800\) | 73.5472 | + | 8.79247i | 2.60029 | + | 0.310861i | ||||
\(801\) | 13.7531 | − | 3.71800i | 0.485943 | − | 0.131369i | ||||
\(802\) | 0.613079 | − | 25.7582i | 0.0216486 | − | 0.909555i | ||||
\(803\) | 0.0330413 | − | 0.00885339i | 0.00116600 | − | 0.000312429i | ||||
\(804\) | −0.436989 | + | 0.930203i | −0.0154114 | + | 0.0328057i | ||||
\(805\) | 12.0664 | + | 3.23318i | 0.425285 | + | 0.113955i | ||||
\(806\) | −8.18232 | − | 2.40252i | −0.288210 | − | 0.0846251i | ||||
\(807\) | 50.1191 | − | 6.65511i | 1.76428 | − | 0.234271i | ||||
\(808\) | 20.7246 | − | 3.99454i | 0.729089 | − | 0.140528i | ||||
\(809\) | 2.32596i | 0.0817763i | 0.999164 | + | 0.0408882i | \(0.0130187\pi\) | ||||
−0.999164 | + | 0.0408882i | \(0.986981\pi\) | |||||||
\(810\) | −52.0152 | − | 15.0215i | −1.82763 | − | 0.527801i | ||||
\(811\) | 34.5092 | − | 34.5092i | 1.21178 | − | 1.21178i | 0.241343 | − | 0.970440i | \(-0.422412\pi\) |
0.970440 | − | 0.241343i | \(-0.0775878\pi\) | |||||||
\(812\) | −1.06353 | − | 4.88881i | −0.0373225 | − | 0.171564i | ||||
\(813\) | 24.4624 | − | 31.9537i | 0.857934 | − | 1.12066i | ||||
\(814\) | −6.78039 | − | 12.4173i | −0.237652 | − | 0.435225i | ||||
\(815\) | −31.8177 | − | 55.1098i | −1.11452 | − | 1.93041i | ||||
\(816\) | 7.02452 | + | 22.8194i | 0.245907 | + | 0.798838i | ||||
\(817\) | 9.05319 | − | 15.6806i | 0.316731 | − | 0.548594i | ||||
\(818\) | −37.0562 | − | 0.881984i | −1.29564 | − | 0.0308378i | ||||
\(819\) | 11.7536 | + | 6.75109i | 0.410705 | + | 0.235902i | ||||
\(820\) | −22.6814 | − | 24.9501i | −0.792069 | − | 0.871294i | ||||
\(821\) | 13.7607 | + | 51.3558i | 0.480253 | + | 1.79233i | 0.600547 | + | 0.799590i | \(0.294950\pi\) |
−0.120294 | + | 0.992738i | \(0.538384\pi\) | |||||||
\(822\) | 37.5102 | + | 5.80663i | 1.30832 | + | 0.202530i | ||||
\(823\) | −8.35343 | + | 4.82286i | −0.291182 | + | 0.168114i | −0.638475 | − | 0.769643i | \(-0.720434\pi\) |
0.347293 | + | 0.937757i | \(0.387101\pi\) | |||||||
\(824\) | 17.4396 | + | 35.9000i | 0.607536 | + | 1.25064i | ||||
\(825\) | 16.9465 | + | 22.0342i | 0.590000 | + | 0.767132i | ||||
\(826\) | −7.11220 | − | 29.3165i | −0.247465 | − | 1.02005i | ||||
\(827\) | −18.2747 | + | 18.2747i | −0.635475 | + | 0.635475i | −0.949436 | − | 0.313961i | \(-0.898344\pi\) |
0.313961 | + | 0.949436i | \(0.398344\pi\) | |||||||
\(828\) | 2.82519 | − | 8.90652i | 0.0981821 | − | 0.309523i | ||||
\(829\) | 6.63529 | + | 6.63529i | 0.230453 | + | 0.230453i | 0.812882 | − | 0.582429i | \(-0.197897\pi\) |
−0.582429 | + | 0.812882i | \(0.697897\pi\) | |||||||
\(830\) | 18.1775 | + | 11.0797i | 0.630950 | + | 0.384581i | ||||
\(831\) | −31.5063 | − | 13.0092i | −1.09294 | − | 0.451285i | ||||
\(832\) | −7.54489 | + | 17.6199i | −0.261572 | + | 0.610861i | ||||
\(833\) | −5.93409 | − | 10.2782i | −0.205604 | − | 0.356117i | ||||
\(834\) | −17.9552 | + | 1.95068i | −0.621739 | + | 0.0675465i | ||||
\(835\) | −88.7900 | + | 23.7912i | −3.07271 | + | 0.823329i | ||||
\(836\) | 14.4648 | + | 0.688953i | 0.500276 | + | 0.0238279i | ||||
\(837\) | −1.75029 | − | 12.9600i | −0.0604990 | − | 0.447963i | ||||
\(838\) | 11.8891 | − | 11.3363i | 0.410704 | − | 0.391608i | ||||
\(839\) | 34.7829 | + | 20.0819i | 1.20084 | + | 0.693306i | 0.960742 | − | 0.277443i | \(-0.0894869\pi\) |
0.240099 | + | 0.970749i | \(0.422820\pi\) | |||||||
\(840\) | −2.38088 | − | 39.2253i | −0.0821481 | − | 1.35340i | ||||
\(841\) | −23.5908 | + | 13.6201i | −0.813475 | + | 0.469660i | ||||
\(842\) | 4.01982 | − | 13.6904i | 0.138532 | − | 0.471803i | ||||
\(843\) | 30.1066 | − | 12.5099i | 1.03693 | − | 0.430863i | ||||
\(844\) | −42.8601 | + | 9.32393i | −1.47531 | + | 0.320943i | ||||
\(845\) | −21.8355 | − | 21.8355i | −0.751166 | − | 0.751166i | ||||
\(846\) | 1.35398 | + | 1.41368i | 0.0465506 | + | 0.0486033i | ||||
\(847\) | −17.9107 | −0.615419 | ||||||||
\(848\) | 5.26776 | + | 31.3238i | 0.180896 | + | 1.07566i | ||||
\(849\) | 18.2401 | − | 14.0284i | 0.625997 | − | 0.481453i | ||||
\(850\) | −30.5840 | − | 56.0100i | −1.04902 | − | 1.92113i | ||||
\(851\) | 3.28987 | − | 12.2779i | 0.112775 | − | 0.420883i | ||||
\(852\) | −8.55346 | + | 47.7145i | −0.293037 | + | 1.63467i | ||||
\(853\) | 0.724010 | + | 2.70204i | 0.0247896 | + | 0.0925162i | 0.977212 | − | 0.212264i | \(-0.0680837\pi\) |
−0.952423 | + | 0.304780i | \(0.901417\pi\) | |||||||
\(854\) | −9.03609 | − | 9.47672i | −0.309209 | − | 0.324287i | ||||
\(855\) | 53.1876 | − | 53.4251i | 1.81898 | − | 1.82710i | ||||
\(856\) | 10.0848 | + | 11.6382i | 0.344690 | + | 0.397786i | ||||
\(857\) | −32.4678 | − | 18.7453i | −1.10908 | − | 0.640326i | −0.170488 | − | 0.985360i | \(-0.554534\pi\) |
−0.938590 | + | 0.345033i | \(0.887868\pi\) | |||||||
\(858\) | −6.70628 | + | 2.60125i | −0.228949 | + | 0.0888050i | ||||
\(859\) | −46.6369 | − | 12.4963i | −1.59123 | − | 0.426369i | −0.648850 | − | 0.760916i | \(-0.724750\pi\) |
−0.942379 | + | 0.334547i | \(0.891417\pi\) | |||||||
\(860\) | 23.1763 | − | 11.9484i | 0.790304 | − | 0.407436i | ||||
\(861\) | −7.86939 | + | 10.2793i | −0.268188 | + | 0.350317i | ||||
\(862\) | 4.92478 | + | 3.00179i | 0.167739 | + | 0.102241i | ||||
\(863\) | −40.4745 | −1.37777 | −0.688883 | − | 0.724872i | \(-0.741899\pi\) | ||||
−0.688883 | + | 0.724872i | \(0.741899\pi\) | |||||||
\(864\) | −29.3905 | + | 0.448457i | −0.999884 | + | 0.0152568i | ||||
\(865\) | −82.3366 | −2.79953 | ||||||||
\(866\) | 30.3501 | + | 18.4992i | 1.03134 | + | 0.628629i | ||||
\(867\) | −5.39448 | + | 7.04647i | −0.183206 | + | 0.239311i | ||||
\(868\) | 8.43702 | − | 4.34965i | 0.286371 | − | 0.147637i | ||||
\(869\) | 5.18704 | + | 1.38986i | 0.175958 | + | 0.0471479i | ||||
\(870\) | 12.8864 | − | 4.99840i | 0.436890 | − | 0.169461i | ||||
\(871\) | 0.615591 | + | 0.355412i | 0.0208585 | + | 0.0120427i | ||||
\(872\) | 6.30641 | − | 5.46464i | 0.213562 | − | 0.185056i | ||||
\(873\) | −24.2022 | − | 6.42722i | −0.819122 | − | 0.217528i | ||||
\(874\) | 8.97835 | + | 9.41616i | 0.303697 | + | 0.318506i | ||||
\(875\) | 16.8042 | + | 62.7143i | 0.568087 | + | 2.12013i | ||||
\(876\) | 0.0170592 | − | 0.0951627i | 0.000576376 | − | 0.00321525i | ||||
\(877\) | −8.34743 | + | 31.1530i | −0.281873 | + | 1.05196i | 0.669222 | + | 0.743063i | \(0.266628\pi\) |
−0.951094 | + | 0.308901i | \(0.900039\pi\) | |||||||
\(878\) | 10.5866 | + | 19.3877i | 0.357279 | + | 0.654303i | ||||
\(879\) | −11.7063 | + | 9.00330i | −0.394844 | + | 0.303674i | ||||
\(880\) | 16.9876 | + | 12.0965i | 0.572652 | + | 0.407772i | ||||
\(881\) | −44.0930 | −1.48553 | −0.742765 | − | 0.669552i | \(-0.766486\pi\) | ||||
−0.742765 | + | 0.669552i | \(0.766486\pi\) | |||||||
\(882\) | 14.1914 | − | 3.47633i | 0.477848 | − | 0.117054i | ||||
\(883\) | −28.6867 | − | 28.6867i | −0.965385 | − | 0.965385i | 0.0340356 | − | 0.999421i | \(-0.489164\pi\) |
−0.999421 | + | 0.0340356i | \(0.989164\pi\) | |||||||
\(884\) | 16.1363 | − | 3.51034i | 0.542722 | − | 0.118066i | ||||
\(885\) | 76.9603 | − | 31.9785i | 2.58699 | − | 1.07494i | ||||
\(886\) | −13.4761 | + | 45.8960i | −0.452739 | + | 1.54191i | ||||
\(887\) | 6.66474 | − | 3.84789i | 0.223780 | − | 0.129199i | −0.383919 | − | 0.923367i | \(-0.625426\pi\) |
0.607699 | + | 0.794167i | \(0.292093\pi\) | |||||||
\(888\) | −39.9130 | + | 2.42262i | −1.33939 | + | 0.0812978i | ||||
\(889\) | −7.99961 | − | 4.61858i | −0.268298 | − | 0.154902i | ||||
\(890\) | −20.6755 | + | 19.7142i | −0.693045 | + | 0.660822i | ||||
\(891\) | −7.83471 | − | 7.76520i | −0.262473 | − | 0.260144i | ||||
\(892\) | −6.27233 | − | 0.298748i | −0.210013 | − | 0.0100028i | ||||
\(893\) | −2.63276 | + | 0.705446i | −0.0881020 | + | 0.0236069i | ||||
\(894\) | −18.8078 | + | 2.04330i | −0.629026 | + | 0.0683382i | ||||
\(895\) | 8.66712 | + | 15.0119i | 0.289710 | + | 0.501792i | ||||
\(896\) | −7.45632 | − | 19.9898i | −0.249098 | − | 0.667813i | ||||
\(897\) | −5.97342 | − | 2.46648i | −0.199447 | − | 0.0823533i | ||||
\(898\) | 33.8463 | + | 20.6302i | 1.12947 | + | 0.688440i | ||||
\(899\) | 2.36078 | + | 2.36078i | 0.0787364 | + | 0.0787364i | ||||
\(900\) | 76.7312 | − | 16.8715i | 2.55771 | − | 0.562382i | ||||
\(901\) | 19.3508 | − | 19.3508i | 0.644667 | − | 0.644667i | ||||
\(902\) | −1.61969 | − | 6.67635i | −0.0539297 | − | 0.222298i | ||||
\(903\) | −6.10316 | − | 7.93547i | −0.203100 | − | 0.264076i | ||||
\(904\) | −10.4207 | + | 5.06217i | −0.346586 | + | 0.168365i | ||||
\(905\) | 49.5019 | − | 28.5799i | 1.64550 | − | 0.950029i | ||||
\(906\) | 9.40674 | + | 1.45618i | 0.312518 | + | 0.0483783i | ||||
\(907\) | 8.10365 | + | 30.2432i | 0.269077 | + | 1.00421i | 0.959707 | + | 0.281002i | \(0.0906666\pi\) |
−0.690630 | + | 0.723208i | \(0.742667\pi\) | |||||||
\(908\) | −18.9455 | − | 20.8405i | −0.628728 | − | 0.691615i | ||||
\(909\) | 19.3622 | − | 11.2363i | 0.642203 | − | 0.372686i | ||||
\(910\) | −27.1721 | − | 0.646730i | −0.900745 | − | 0.0214389i | ||||
\(911\) | 11.1615 | − | 19.3322i | 0.369796 | − | 0.640506i | −0.619737 | − | 0.784809i | \(-0.712761\pi\) |
0.989533 | + | 0.144304i | \(0.0460942\pi\) | |||||||
\(912\) | 19.1454 | − | 36.1746i | 0.633967 | − | 1.19786i | ||||
\(913\) | 2.16866 | + | 3.75623i | 0.0717722 | + | 0.124313i | ||||
\(914\) | 11.6111 | + | 21.2640i | 0.384061 | + | 0.703350i | ||||
\(915\) | 21.9896 | − | 28.7236i | 0.726955 | − | 0.949574i | ||||
\(916\) | 8.06888 | + | 37.0909i | 0.266603 | + | 1.22552i | ||||
\(917\) | −24.5383 | + | 24.5383i | −0.810327 | + | 0.810327i | ||||
\(918\) | 15.0024 | + | 20.4023i | 0.495152 | + | 0.673378i | ||||
\(919\) | − | 51.8070i | − | 1.70895i | −0.519489 | − | 0.854477i | \(-0.673877\pi\) | ||
0.519489 | − | 0.854477i | \(-0.326123\pi\) | |||||||
\(920\) | 3.54607 | + | 18.3978i | 0.116911 | + | 0.606559i | ||||
\(921\) | −17.3264 | + | 2.30071i | −0.570926 | + | 0.0758109i | ||||
\(922\) | 12.7781 | + | 3.75194i | 0.420823 | + | 0.123563i | ||||
\(923\) | 32.3849 | + | 8.67752i | 1.06596 | + | 0.285624i | ||||
\(924\) | 3.40440 | − | 7.24683i | 0.111996 | − | 0.238403i | ||||
\(925\) | 103.234 | − | 27.6615i | 3.39432 | − | 0.909505i | ||||
\(926\) | −0.0523067 | + | 2.19764i | −0.00171890 | + | 0.0722190i | ||||
\(927\) | 30.0004 | + | 29.8671i | 0.985344 | + | 0.980963i | ||||
\(928\) | 5.89853 | − | 4.63881i | 0.193629 | − | 0.152276i | ||||
\(929\) | −13.9260 | + | 24.1206i | −0.456899 | + | 0.791372i | −0.998795 | − | 0.0490736i | \(-0.984373\pi\) |
0.541897 | + | 0.840445i | \(0.317706\pi\) | |||||||
\(930\) | 15.4879 | + | 21.1612i | 0.507868 | + | 0.693904i | ||||
\(931\) | −5.26555 | + | 19.6513i | −0.172571 | + | 0.644046i | ||||
\(932\) | 22.5412 | − | 11.6210i | 0.738361 | − | 0.380657i | ||||
\(933\) | −2.60762 | + | 19.9788i | −0.0853698 | + | 0.654077i | ||||
\(934\) | −4.62665 | − | 19.0710i | −0.151388 | − | 0.624023i | ||||
\(935\) | − | 17.9671i | − | 0.587589i | ||||||
\(936\) | −1.40496 | + | 20.2814i | −0.0459224 | + | 0.662919i | ||||
\(937\) | 35.0104i | 1.14374i | 0.820344 | + | 0.571870i | \(0.193782\pi\) | ||||
−0.820344 | + | 0.571870i | \(0.806218\pi\) | |||||||
\(938\) | −0.768914 | + | 0.186539i | −0.0251059 | + | 0.00609072i | ||||
\(939\) | −10.6558 | + | 4.42770i | −0.347740 | + | 0.144493i | ||||
\(940\) | −3.73880 | − | 1.19514i | −0.121946 | − | 0.0389812i | ||||
\(941\) | −6.70277 | + | 25.0151i | −0.218504 | + | 0.815468i | 0.766400 | + | 0.642364i | \(0.222046\pi\) |
−0.984904 | + | 0.173104i | \(0.944620\pi\) | |||||||
\(942\) | −1.70731 | − | 15.7151i | −0.0556270 | − | 0.512025i | ||||
\(943\) | 3.08616 | − | 5.34539i | 0.100499 | − | 0.174070i | ||||
\(944\) | 34.8900 | − | 28.8084i | 1.13557 | − | 0.937633i | ||||
\(945\) | −16.0793 | − | 38.4549i | −0.523060 | − | 1.25094i | ||||
\(946\) | 5.31113 | + | 0.126412i | 0.172680 | + | 0.00411000i | ||||
\(947\) | −19.3335 | + | 5.18039i | −0.628254 | + | 0.168340i | −0.558877 | − | 0.829250i | \(-0.688768\pi\) |
−0.0693768 | + | 0.997591i | \(0.522101\pi\) | |||||||
\(948\) | 9.78891 | − | 11.5988i | 0.317929 | − | 0.376710i | ||||
\(949\) | −0.0645892 | − | 0.0173066i | −0.00209665 | − | 0.000561797i | ||||
\(950\) | −30.8195 | + | 104.963i | −0.999918 | + | 3.40545i | ||||
\(951\) | −1.80978 | + | 4.38299i | −0.0586861 | + | 0.142128i | ||||
\(952\) | −10.3028 | + | 15.2227i | −0.333915 | + | 0.493369i | ||||
\(953\) | 6.37793i | 0.206601i | 0.994650 | + | 0.103301i | \(0.0329404\pi\) | ||||
−0.994650 | + | 0.103301i | \(0.967060\pi\) | |||||||
\(954\) | 16.2120 | + | 29.5333i | 0.524884 | + | 0.956176i | ||||
\(955\) | −14.2220 | + | 14.2220i | −0.460215 | + | 0.460215i | ||||
\(956\) | 7.98854 | − | 12.4306i | 0.258368 | − | 0.402034i | ||||
\(957\) | 2.79244 | + | 0.364468i | 0.0902668 | + | 0.0117816i | ||||
\(958\) | 29.0521 | − | 15.8638i | 0.938630 | − | 0.512535i | ||||
\(959\) | 14.6109 | + | 25.3068i | 0.471810 | + | 0.817199i | ||||
\(960\) | 51.3588 | − | 28.9192i | 1.65760 | − | 0.933364i | ||||
\(961\) | 12.3329 | − | 21.3612i | 0.397835 | − | 0.689070i | ||||
\(962\) | −0.658068 | + | 27.6484i | −0.0212170 | + | 0.891421i | ||||
\(963\) | 14.1637 | + | 8.13538i | 0.456418 | + | 0.262159i | ||||
\(964\) | 44.7314 | + | 2.13053i | 1.44070 | + | 0.0686199i | ||||
\(965\) | −21.5023 | − | 80.2477i | −0.692183 | − | 2.58326i | ||||
\(966\) | 6.70668 | − | 2.60140i | 0.215784 | − | 0.0836987i | ||||
\(967\) | −32.7206 | + | 18.8912i | −1.05222 | + | 0.607501i | −0.923271 | − | 0.384149i | \(-0.874495\pi\) |
−0.128952 | + | 0.991651i | \(0.541161\pi\) | |||||||
\(968\) | −11.7382 | − | 24.1635i | −0.377280 | − | 0.776645i | ||||
\(969\) | −34.9554 | + | 4.64158i | −1.12293 | + | 0.149109i | ||||
\(970\) | 48.7974 | − | 11.8383i | 1.56679 | − | 0.380104i | ||||
\(971\) | 39.2528 | − | 39.2528i | 1.25968 | − | 1.25968i | 0.308436 | − | 0.951245i | \(-0.400194\pi\) |
0.951245 | − | 0.308436i | \(-0.0998057\pi\) | |||||||
\(972\) | −29.2795 | + | 10.7103i | −0.939141 | + | 0.343532i | ||||
\(973\) | −9.83195 | − | 9.83195i | −0.315198 | − | 0.315198i | ||||
\(974\) | −15.4792 | + | 25.3954i | −0.495986 | + | 0.813722i | ||||
\(975\) | −7.15256 | − | 53.8654i | −0.229065 | − | 1.72507i | ||||
\(976\) | 6.86312 | − | 18.4015i | 0.219683 | − | 0.589016i | ||||
\(977\) | −13.9657 | − | 24.1893i | −0.446803 | − | 0.773885i | 0.551373 | − | 0.834259i | \(-0.314104\pi\) |
−0.998176 | + | 0.0603737i | \(0.980771\pi\) | |||||||
\(978\) | −33.5281 | − | 14.7874i | −1.07211 | − | 0.472849i | ||||
\(979\) | −5.62224 | + | 1.50647i | −0.179687 | + | 0.0481471i | ||||
\(980\) | −21.6790 | + | 19.7078i | −0.692511 | + | 0.629542i | ||||
\(981\) | 4.40833 | − | 7.67488i | 0.140747 | − | 0.245040i | ||||
\(982\) | −25.7240 | − | 26.9784i | −0.820887 | − | 0.860916i | ||||
\(983\) | 31.3818 | + | 18.1183i | 1.00092 | + | 0.577883i | 0.908521 | − | 0.417839i | \(-0.137212\pi\) |
0.0924017 | + | 0.995722i | \(0.470546\pi\) | |||||||
\(984\) | −19.0253 | − | 3.87991i | −0.606503 | − | 0.123687i | ||||
\(985\) | −35.9452 | + | 20.7530i | −1.14531 | + | 0.661245i | ||||
\(986\) | −6.20330 | − | 1.82143i | −0.197553 | − | 0.0580062i | ||||
\(987\) | −0.195039 | + | 1.49433i | −0.00620815 | + | 0.0475650i | ||||
\(988\) | −23.8142 | − | 15.3043i | −0.757631 | − | 0.486893i | ||||
\(989\) | 3.37509 | + | 3.37509i | 0.107322 | + | 0.107322i | ||||
\(990\) | 21.2372 | + | 6.18438i | 0.674963 | + | 0.196553i | ||||
\(991\) | 52.0673 | 1.65397 | 0.826985 | − | 0.562223i | \(-0.190054\pi\) | ||||
0.826985 | + | 0.562223i | \(0.190054\pi\) | |||||||
\(992\) | 11.3975 | + | 8.53182i | 0.361873 | + | 0.270885i | ||||
\(993\) | 32.6162 | + | 13.4675i | 1.03504 | + | 0.427379i | ||||
\(994\) | −32.7543 | + | 17.8854i | −1.03890 | + | 0.567289i | ||||
\(995\) | −26.9457 | + | 100.563i | −0.854236 | + | 3.18805i | ||||
\(996\) | 12.2150 | − | 1.03365i | 0.387048 | − | 0.0327524i | ||||
\(997\) | 14.2008 | + | 52.9980i | 0.449743 | + | 1.67846i | 0.703100 | + | 0.711091i | \(0.251798\pi\) |
−0.253357 | + | 0.967373i | \(0.581535\pi\) | |||||||
\(998\) | 13.6125 | − | 12.9795i | 0.430895 | − | 0.410860i | ||||
\(999\) | −39.1291 | + | 16.3612i | −1.23799 | + | 0.517646i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 144.2.x.e.61.4 | yes | 72 | |
3.2 | odd | 2 | 432.2.y.e.397.15 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.529.6 | 72 | |||
9.4 | even | 3 | inner | 144.2.x.e.13.15 | ✓ | 72 | |
9.5 | odd | 6 | 432.2.y.e.253.4 | 72 | |||
12.11 | even | 2 | 1728.2.bc.e.721.18 | 72 | |||
16.5 | even | 4 | inner | 144.2.x.e.133.15 | yes | 72 | |
16.11 | odd | 4 | 576.2.bb.e.241.16 | 72 | |||
36.23 | even | 6 | 1728.2.bc.e.145.1 | 72 | |||
36.31 | odd | 6 | 576.2.bb.e.337.16 | 72 | |||
48.5 | odd | 4 | 432.2.y.e.181.4 | 72 | |||
48.11 | even | 4 | 1728.2.bc.e.1585.1 | 72 | |||
144.5 | odd | 12 | 432.2.y.e.37.15 | 72 | |||
144.59 | even | 12 | 1728.2.bc.e.1009.18 | 72 | |||
144.85 | even | 12 | inner | 144.2.x.e.85.4 | yes | 72 | |
144.139 | odd | 12 | 576.2.bb.e.49.6 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.15 | ✓ | 72 | 9.4 | even | 3 | inner | |
144.2.x.e.61.4 | yes | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.85.4 | yes | 72 | 144.85 | even | 12 | inner | |
144.2.x.e.133.15 | yes | 72 | 16.5 | even | 4 | inner | |
432.2.y.e.37.15 | 72 | 144.5 | odd | 12 | |||
432.2.y.e.181.4 | 72 | 48.5 | odd | 4 | |||
432.2.y.e.253.4 | 72 | 9.5 | odd | 6 | |||
432.2.y.e.397.15 | 72 | 3.2 | odd | 2 | |||
576.2.bb.e.49.6 | 72 | 144.139 | odd | 12 | |||
576.2.bb.e.241.16 | 72 | 16.11 | odd | 4 | |||
576.2.bb.e.337.16 | 72 | 36.31 | odd | 6 | |||
576.2.bb.e.529.6 | 72 | 4.3 | odd | 2 | |||
1728.2.bc.e.145.1 | 72 | 36.23 | even | 6 | |||
1728.2.bc.e.721.18 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.1009.18 | 72 | 144.59 | even | 12 | |||
1728.2.bc.e.1585.1 | 72 | 48.11 | even | 4 |