Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 13.15 | ||
Character | \(\chi\) | \(=\) | 144.13 |
Dual form | 144.2.x.e.133.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.24122 | − | 0.677764i | 0.877677 | − | 0.479252i | ||||
\(3\) | −1.37530 | + | 1.05287i | −0.794031 | + | 0.607877i | ||||
\(4\) | 1.08127 | − | 1.68251i | 0.540636 | − | 0.841257i | ||||
\(5\) | 1.10094 | + | 4.10876i | 0.492355 | + | 1.83750i | 0.544365 | + | 0.838849i | \(0.316771\pi\) |
−0.0520092 | + | 0.998647i | \(0.516563\pi\) | |||||||
\(6\) | −0.993456 | + | 2.23898i | −0.405577 | + | 0.914061i | ||||
\(7\) | 1.63313 | − | 0.942891i | 0.617267 | − | 0.356379i | −0.158537 | − | 0.987353i | \(-0.550678\pi\) |
0.775804 | + | 0.630974i | \(0.217344\pi\) | |||||||
\(8\) | 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 | ||||
\(11\) | −1.18389 | − | 0.317223i | −0.356957 | − | 0.0956464i | 0.0758838 | − | 0.997117i | \(-0.475822\pi\) |
−0.432841 | + | 0.901470i | \(0.642489\pi\) | |||||||
\(12\) | 0.284402 | + | 3.45241i | 0.0820997 | + | 0.996624i | ||||
\(13\) | −2.31428 | + | 0.620109i | −0.641865 | + | 0.171987i | −0.565048 | − | 0.825058i | \(-0.691142\pi\) |
−0.0768171 | + | 0.997045i | \(0.524476\pi\) | |||||||
\(14\) | 1.38803 | − | 2.27722i | 0.370966 | − | 0.608612i | ||||
\(15\) | −5.84014 | − | 4.49164i | −1.50792 | − | 1.15974i | ||||
\(16\) | −1.66171 | − | 3.63851i | −0.415426 | − | 0.909627i | ||||
\(17\) | 3.44622 | 0.835831 | 0.417915 | − | 0.908486i | \(-0.362761\pi\) | ||||
0.417915 | + | 0.908486i | \(0.362761\pi\) | |||||||
\(18\) | −0.991066 | − | 4.12526i | −0.233596 | − | 0.972334i | ||||
\(19\) | −4.17726 | − | 4.17726i | −0.958328 | − | 0.958328i | 0.0408377 | − | 0.999166i | \(-0.486997\pi\) |
−0.999166 | + | 0.0408377i | \(0.986997\pi\) | |||||||
\(20\) | 8.10347 | + | 2.59034i | 1.81199 | + | 0.579218i | ||||
\(21\) | −1.25331 | + | 3.01624i | −0.273494 | + | 0.658199i | ||||
\(22\) | −1.68448 | + | 0.408656i | −0.359132 | + | 0.0871257i | ||||
\(23\) | −1.34867 | − | 0.778655i | −0.281217 | − | 0.162361i | 0.352757 | − | 0.935715i | \(-0.385244\pi\) |
−0.633974 | + | 0.773354i | \(0.718578\pi\) | |||||||
\(24\) | 2.69292 | + | 4.09245i | 0.549691 | + | 0.835368i | ||||
\(25\) | −11.3397 | + | 6.54701i | −2.26795 | + | 1.30940i | ||||
\(26\) | −2.45225 | + | 2.33823i | −0.480925 | + | 0.458564i | ||||
\(27\) | 1.97243 | + | 4.80724i | 0.379594 | + | 0.925153i | ||||
\(28\) | 0.179434 | − | 3.76729i | 0.0339099 | − | 0.711951i | ||||
\(29\) | −0.343336 | + | 1.28135i | −0.0637558 | + | 0.237940i | −0.990449 | − | 0.137878i | \(-0.955972\pi\) |
0.926693 | + | 0.375818i | \(0.122638\pi\) | |||||||
\(30\) | −10.2932 | − | 1.61689i | −1.87927 | − | 0.295203i | ||||
\(31\) | 1.25840 | − | 2.17961i | 0.226015 | − | 0.391469i | −0.730609 | − | 0.682796i | \(-0.760764\pi\) |
0.956623 | + | 0.291327i | \(0.0940969\pi\) | |||||||
\(32\) | −4.52860 | − | 3.38996i | −0.800551 | − | 0.599265i | ||||
\(33\) | 1.96221 | − | 0.810213i | 0.341576 | − | 0.141040i | ||||
\(34\) | 4.27753 | − | 2.33572i | 0.733590 | − | 0.400573i | ||||
\(35\) | 5.67210 | + | 5.67210i | 0.958760 | + | 0.958760i | ||||
\(36\) | −4.02609 | − | 4.44866i | −0.671015 | − | 0.741444i | ||||
\(37\) | 5.77154 | − | 5.77154i | 0.948836 | − | 0.948836i | −0.0499178 | − | 0.998753i | \(-0.515896\pi\) |
0.998753 | + | 0.0499178i | \(0.0158959\pi\) | |||||||
\(38\) | −8.01610 | − | 2.35371i | −1.30038 | − | 0.381823i | ||||
\(39\) | 2.52993 | − | 3.28948i | 0.405114 | − | 0.526739i | ||||
\(40\) | 11.8139 | − | 2.27705i | 1.86793 | − | 0.360033i | ||||
\(41\) | −3.43245 | − | 1.98173i | −0.536058 | − | 0.309493i | 0.207422 | − | 0.978252i | \(-0.433493\pi\) |
−0.743480 | + | 0.668758i | \(0.766826\pi\) | |||||||
\(42\) | 0.488668 | + | 4.59328i | 0.0754032 | + | 0.708759i | ||||
\(43\) | −2.96053 | − | 0.793272i | −0.451477 | − | 0.120973i | 0.0259136 | − | 0.999664i | \(-0.491751\pi\) |
−0.477390 | + | 0.878691i | \(0.658417\pi\) | |||||||
\(44\) | −1.81384 | + | 1.64891i | −0.273447 | + | 0.248583i | ||||
\(45\) | 12.7611 | + | 0.0284289i | 1.90231 | + | 0.00423794i | ||||
\(46\) | −2.20175 | − | 0.0524044i | −0.324630 | − | 0.00772660i | ||||
\(47\) | 0.230692 | + | 0.399570i | 0.0336498 | + | 0.0582832i | 0.882360 | − | 0.470575i | \(-0.155954\pi\) |
−0.848710 | + | 0.528858i | \(0.822620\pi\) | |||||||
\(48\) | 6.11624 | + | 3.25448i | 0.882803 | + | 0.469743i | ||||
\(49\) | −1.72191 | + | 2.98244i | −0.245988 | + | 0.426063i | ||||
\(50\) | −9.63783 | + | 15.8120i | −1.36300 | + | 2.23615i | ||||
\(51\) | −4.73959 | + | 3.62844i | −0.663676 | + | 0.508083i | ||||
\(52\) | −1.45902 | + | 4.56431i | −0.202330 | + | 0.632956i | ||||
\(53\) | 5.61507 | − | 5.61507i | 0.771289 | − | 0.771289i | −0.207043 | − | 0.978332i | \(-0.566384\pi\) |
0.978332 | + | 0.207043i | \(0.0663838\pi\) | |||||||
\(54\) | 5.70640 | + | 4.63001i | 0.776542 | + | 0.630065i | ||||
\(55\) | − | 5.21358i | − | 0.702999i | ||||||
\(56\) | −2.33062 | − | 4.79766i | −0.311442 | − | 0.641115i | ||||
\(57\) | 10.1431 | + | 1.34686i | 1.34349 | + | 0.178396i | ||||
\(58\) | 0.442294 | + | 1.82314i | 0.0580761 | + | 0.239390i | ||||
\(59\) | 2.92766 | + | 10.9262i | 0.381148 | + | 1.42247i | 0.844150 | + | 0.536108i | \(0.180106\pi\) |
−0.463001 | + | 0.886358i | \(0.653227\pi\) | |||||||
\(60\) | −13.8720 | + | 4.96943i | −1.79087 | + | 0.641551i | ||||
\(61\) | 1.27078 | − | 4.74261i | 0.162707 | − | 0.607229i | −0.835615 | − | 0.549316i | \(-0.814888\pi\) |
0.998322 | − | 0.0579138i | \(-0.0184448\pi\) | |||||||
\(62\) | 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 | ||||
\(66\) | 1.88640 | − | 2.33557i | 0.232200 | − | 0.287489i | ||||
\(67\) | 0.286572 | − | 0.0767867i | 0.0350103 | − | 0.00938099i | −0.241271 | − | 0.970458i | \(-0.577564\pi\) |
0.276282 | + | 0.961077i | \(0.410898\pi\) | |||||||
\(68\) | 3.72630 | − | 5.79831i | 0.451880 | − | 0.703148i | ||||
\(69\) | 2.67465 | − | 0.349094i | 0.321991 | − | 0.0420260i | ||||
\(70\) | 10.8847 | + | 3.19600i | 1.30097 | + | 0.381995i | ||||
\(71\) | 13.9935i | 1.66073i | 0.557221 | + | 0.830364i | \(0.311867\pi\) | ||||
−0.557221 | + | 0.830364i | \(0.688133\pi\) | |||||||
\(72\) | −8.01242 | − | 2.79304i | −0.944273 | − | 0.329163i | ||||
\(73\) | − | 0.0279090i | − | 0.00326650i | −0.999999 | − | 0.00163325i | \(-0.999480\pi\) | ||
0.999999 | − | 0.00163325i | \(-0.000519880\pi\) | |||||||
\(74\) | 3.25203 | − | 11.0755i | 0.378040 | − | 1.28750i | ||||
\(75\) | 8.70240 | − | 20.9434i | 1.00487 | − | 2.41834i | ||||
\(76\) | −11.5450 | + | 2.51154i | −1.32431 | + | 0.288094i | ||||
\(77\) | −2.23256 | + | 0.598214i | −0.254424 | + | 0.0681728i | ||||
\(78\) | 0.910720 | − | 5.79768i | 0.103119 | − | 0.656458i | ||||
\(79\) | 2.19067 | + | 3.79435i | 0.246470 | + | 0.426898i | 0.962544 | − | 0.271126i | \(-0.0873960\pi\) |
−0.716074 | + | 0.698024i | \(0.754063\pi\) | |||||||
\(80\) | 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 | ||||
\(83\) | −0.915902 | + | 3.41819i | −0.100533 | + | 0.375195i | −0.997800 | − | 0.0662931i | \(-0.978883\pi\) |
0.897267 | + | 0.441489i | \(0.145549\pi\) | |||||||
\(84\) | 3.71971 | + | 5.37009i | 0.405853 | + | 0.585924i | ||||
\(85\) | 3.79408 | + | 14.1597i | 0.411526 | + | 1.53584i | ||||
\(86\) | −4.21233 | + | 1.02191i | −0.454227 | + | 0.110196i | ||||
\(87\) | −0.876906 | − | 2.12373i | −0.0940142 | − | 0.227687i | ||||
\(88\) | −1.13381 | + | 3.27603i | −0.120864 | + | 0.349226i | ||||
\(89\) | 4.74894i | 0.503386i | 0.967807 | + | 0.251693i | \(0.0809874\pi\) | ||||
−0.967807 | + | 0.251693i | \(0.919013\pi\) | |||||||
\(90\) | 15.8586 | − | 8.61372i | 1.67165 | − | 0.907966i | ||||
\(91\) | −3.19483 | + | 3.19483i | −0.334909 | + | 0.334909i | ||||
\(92\) | −2.76838 | + | 1.42722i | −0.288623 | + | 0.148798i | ||||
\(93\) | 0.564177 | + | 4.32255i | 0.0585025 | + | 0.448228i | ||||
\(94\) | 0.557154 | + | 0.339601i | 0.0574660 | + | 0.0350271i | ||||
\(95\) | 12.5645 | − | 21.7623i | 1.28909 | − | 2.23276i | ||||
\(96\) | 9.79739 | − | 0.105834i | 0.999942 | − | 0.0108016i | ||||
\(97\) | 4.17352 | + | 7.22875i | 0.423757 | + | 0.733968i | 0.996303 | − | 0.0859041i | \(-0.0273779\pi\) |
−0.572547 | + | 0.819872i | \(0.694045\pi\) | |||||||
\(98\) | −0.115887 | + | 4.86893i | −0.0117063 | + | 0.491836i | ||||
\(99\) | −1.84557 | + | 3.18025i | −0.185487 | + | 0.319627i | ||||
\(100\) | −1.24591 | + | 26.1584i | −0.124591 | + | 2.61584i | ||||
\(101\) | −7.20785 | − | 1.93134i | −0.717208 | − | 0.192175i | −0.118282 | − | 0.992980i | \(-0.537739\pi\) |
−0.598926 | + | 0.800805i | \(0.704406\pi\) | |||||||
\(102\) | −3.42367 | + | 7.71602i | −0.338994 | + | 0.764000i | ||||
\(103\) | 12.2204 | + | 7.05547i | 1.20411 | + | 0.695196i | 0.961468 | − | 0.274919i | \(-0.0886509\pi\) |
0.242647 | + | 0.970115i | \(0.421984\pi\) | |||||||
\(104\) | 1.28256 | + | 6.65420i | 0.125765 | + | 0.652498i | ||||
\(105\) | −13.7729 | − | 1.82884i | −1.34409 | − | 0.178477i | ||||
\(106\) | 3.16386 | − | 10.7753i | 0.307302 | − | 1.04659i | ||||
\(107\) | −3.84992 | + | 3.84992i | −0.372186 | + | 0.372186i | −0.868273 | − | 0.496087i | \(-0.834770\pi\) |
0.496087 | + | 0.868273i | \(0.334770\pi\) | |||||||
\(108\) | 10.2210 | + | 1.87929i | 0.983514 | + | 0.180835i | ||||
\(109\) | 2.08616 | + | 2.08616i | 0.199818 | + | 0.199818i | 0.799922 | − | 0.600104i | \(-0.204874\pi\) |
−0.600104 | + | 0.799922i | \(0.704874\pi\) | |||||||
\(110\) | −3.53358 | − | 6.47122i | −0.336914 | − | 0.617007i | ||||
\(111\) | −1.86090 | + | 14.0143i | −0.176629 | + | 1.33018i | ||||
\(112\) | −6.14450 | − | 4.37536i | −0.580601 | − | 0.413433i | ||||
\(113\) | −2.04799 | + | 3.54722i | −0.192658 | + | 0.333694i | −0.946130 | − | 0.323786i | \(-0.895044\pi\) |
0.753472 | + | 0.657480i | \(0.228378\pi\) | |||||||
\(114\) | 13.5027 | − | 5.20288i | 1.26465 | − | 0.487295i | ||||
\(115\) | 1.71451 | − | 6.39862i | 0.159878 | − | 0.596674i | ||||
\(116\) | 1.78464 | + | 1.96315i | 0.165700 | + | 0.182274i | ||||
\(117\) | −0.0160127 | + | 7.18773i | −0.00148038 | + | 0.664506i | ||||
\(118\) | 11.0392 | + | 11.5775i | 1.01624 | + | 1.06580i | ||||
\(119\) | 5.62814 | − | 3.24941i | 0.515931 | − | 0.297873i | ||||
\(120\) | −13.8502 | + | 15.5701i | −1.26434 | + | 1.42135i | ||||
\(121\) | −8.22531 | − | 4.74888i | −0.747755 | − | 0.431717i | ||||
\(122\) | −1.63705 | − | 6.74793i | −0.148212 | − | 0.610929i | ||||
\(123\) | 6.80716 | − | 0.888467i | 0.613781 | − | 0.0801104i | ||||
\(124\) | −2.30655 | − | 4.47402i | −0.207134 | − | 0.401779i | ||||
\(125\) | −24.3454 | − | 24.3454i | −2.17752 | − | 2.17752i | ||||
\(126\) | −5.50821 | − | 5.80264i | −0.490711 | − | 0.516940i | ||||
\(127\) | 4.89832 | 0.434656 | 0.217328 | − | 0.976099i | \(-0.430266\pi\) | ||||
0.217328 | + | 0.976099i | \(0.430266\pi\) | |||||||
\(128\) | −10.6003 | + | 3.95397i | −0.936942 | + | 0.349485i | ||||
\(129\) | 4.90684 | − | 2.02608i | 0.432023 | − | 0.178386i | ||||
\(130\) | −12.3070 | − | 7.50146i | −1.07940 | − | 0.657922i | ||||
\(131\) | −17.7751 | + | 4.76283i | −1.55302 | + | 0.416130i | −0.930446 | − | 0.366430i | \(-0.880580\pi\) |
−0.622574 | + | 0.782561i | \(0.713913\pi\) | |||||||
\(132\) | 0.758483 | − | 4.17750i | 0.0660174 | − | 0.363605i | ||||
\(133\) | −10.7607 | − | 2.88332i | −0.933072 | − | 0.250016i | ||||
\(134\) | 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 | \(-0.436396\pi\) |
0.948040 | + | 0.318153i | \(0.103062\pi\) | |||||||
\(138\) | 3.08324 | − | 2.24609i | 0.262463 | − | 0.191200i | ||||
\(139\) | −1.90836 | − | 7.12209i | −0.161865 | − | 0.604088i | −0.998419 | − | 0.0562039i | \(-0.982100\pi\) |
0.836555 | − | 0.547884i | \(-0.184566\pi\) | |||||||
\(140\) | 15.6765 | − | 3.41031i | 1.32490 | − | 0.288224i | ||||
\(141\) | −0.737967 | − | 0.306640i | −0.0621480 | − | 0.0258237i | ||||
\(142\) | 9.48432 | + | 17.3691i | 0.795907 | + | 1.45758i | ||||
\(143\) | 2.93657 | 0.245568 | ||||||||
\(144\) | −11.8382 | + | 1.96374i | −0.986519 | + | 0.163645i | ||||
\(145\) | −5.64274 | −0.468604 | ||||||||
\(146\) | −0.0189157 | − | 0.0346413i | −0.00156548 | − | 0.00286694i | ||||
\(147\) | −0.771986 | − | 5.91472i | −0.0636723 | − | 0.487838i | ||||
\(148\) | −3.47010 | − | 15.9513i | −0.285240 | − | 1.31119i | ||||
\(149\) | −1.99897 | − | 7.46026i | −0.163762 | − | 0.611168i | −0.998195 | − | 0.0600585i | \(-0.980871\pi\) |
0.834433 | − | 0.551110i | \(-0.185795\pi\) | |||||||
\(150\) | −3.39309 | − | 31.8937i | −0.277045 | − | 2.60411i | ||||
\(151\) | 3.36540 | − | 1.94301i | 0.273872 | − | 0.158120i | −0.356774 | − | 0.934191i | \(-0.616123\pi\) |
0.630646 | + | 0.776071i | \(0.282790\pi\) | |||||||
\(152\) | −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 | ||||
\(155\) | 10.3409 | + | 2.77084i | 0.830602 | + | 0.222559i | ||||
\(156\) | −2.79905 | − | 7.81347i | −0.224104 | − | 0.625578i | ||||
\(157\) | 6.23351 | − | 1.67026i | 0.497488 | − | 0.133302i | −0.00134577 | − | 0.999999i | \(-0.500428\pi\) |
0.498834 | + | 0.866698i | \(0.333762\pi\) | |||||||
\(158\) | 5.29079 | + | 3.22488i | 0.420913 | + | 0.256558i | ||||
\(159\) | −1.81045 | + | 13.6344i | −0.143578 | + | 1.08128i | ||||
\(160\) | 8.94281 | − | 22.3391i | 0.706991 | − | 1.76606i | ||||
\(161\) | −2.93675 | −0.231448 | ||||||||
\(162\) | −12.7228 | − | 0.359546i | −0.999601 | − | 0.0282486i | ||||
\(163\) | 10.5783 | + | 10.5783i | 0.828556 | + | 0.828556i | 0.987317 | − | 0.158761i | \(-0.0507499\pi\) |
−0.158761 | + | 0.987317i | \(0.550750\pi\) | |||||||
\(164\) | −7.04569 | + | 3.63236i | −0.550176 | + | 0.283640i | ||||
\(165\) | 5.48925 | + | 7.17025i | 0.427337 | + | 0.558203i | ||||
\(166\) | 1.17989 | + | 4.86351i | 0.0915773 | + | 0.377481i | ||||
\(167\) | −18.7147 | − | 10.8050i | −1.44819 | − | 0.836112i | −0.449815 | − | 0.893122i | \(-0.648510\pi\) |
−0.998374 | + | 0.0570092i | \(0.981844\pi\) | |||||||
\(168\) | 8.25664 | + | 4.14439i | 0.637014 | + | 0.319747i | ||||
\(169\) | −6.28698 | + | 3.62979i | −0.483614 | + | 0.279215i | ||||
\(170\) | 14.3062 | + | 15.0039i | 1.09724 | + | 1.15074i | ||||
\(171\) | −15.3679 | + | 8.82708i | −1.17521 | + | 0.675024i | ||||
\(172\) | −4.53583 | + | 4.12339i | −0.345854 | + | 0.314406i | ||||
\(173\) | −5.00981 | + | 18.6969i | −0.380889 | + | 1.42150i | 0.463657 | + | 0.886015i | \(0.346537\pi\) |
−0.844546 | + | 0.535483i | \(0.820130\pi\) | |||||||
\(174\) | −2.52782 | − | 2.04168i | −0.191634 | − | 0.154780i | ||||
\(175\) | −12.3462 | + | 21.3843i | −0.933287 | + | 1.61650i | ||||
\(176\) | 0.813064 | + | 4.83474i | 0.0612870 | + | 0.364432i | ||||
\(177\) | −15.5303 | − | 11.9443i | −1.16733 | − | 0.897790i | ||||
\(178\) | 3.21866 | + | 5.89449i | 0.241249 | + | 0.441811i | ||||
\(179\) | −2.88152 | − | 2.88152i | −0.215375 | − | 0.215375i | 0.591171 | − | 0.806546i | \(-0.298666\pi\) |
−0.806546 | + | 0.591171i | \(0.798666\pi\) | |||||||
\(180\) | 13.8460 | − | 21.4400i | 1.03202 | − | 1.59804i | ||||
\(181\) | −9.50186 | + | 9.50186i | −0.706268 | + | 0.706268i | −0.965748 | − | 0.259480i | \(-0.916449\pi\) |
0.259480 | + | 0.965748i | \(0.416449\pi\) | |||||||
\(182\) | −1.80016 | + | 6.13084i | −0.133437 | + | 0.454448i | ||||
\(183\) | 3.24567 | + | 7.86050i | 0.239927 | + | 0.581065i | ||||
\(184\) | −2.46885 | + | 3.64780i | −0.182006 | + | 0.268920i | ||||
\(185\) | 30.0680 | + | 17.3598i | 2.21065 | + | 1.27632i | ||||
\(186\) | 3.62994 | + | 4.98287i | 0.266160 | + | 0.365362i | ||||
\(187\) | −4.07996 | − | 1.09322i | −0.298356 | − | 0.0799442i | ||||
\(188\) | 0.921721 | + | 0.0439012i | 0.0672234 | + | 0.00320182i | ||||
\(189\) | 7.75394 | + | 5.99108i | 0.564016 | + | 0.435787i | ||||
\(190\) | 0.845602 | − | 35.5276i | 0.0613464 | − | 2.57744i | ||||
\(191\) | 2.36417 | + | 4.09487i | 0.171066 | + | 0.296294i | 0.938793 | − | 0.344483i | \(-0.111946\pi\) |
−0.767727 | + | 0.640777i | \(0.778612\pi\) | |||||||
\(192\) | 12.0890 | − | 6.77168i | 0.872450 | − | 0.488704i | ||||
\(193\) | 9.76542 | − | 16.9142i | 0.702931 | − | 1.21751i | −0.264503 | − | 0.964385i | \(-0.585208\pi\) |
0.967433 | − | 0.253127i | \(-0.0814589\pi\) | |||||||
\(194\) | 10.0797 | + | 6.14383i | 0.723677 | + | 0.441101i | ||||
\(195\) | 16.3010 | + | 6.77338i | 1.16734 | + | 0.485052i | ||||
\(196\) | 3.15615 | + | 6.12198i | 0.225439 | + | 0.437284i | ||||
\(197\) | 6.89966 | − | 6.89966i | 0.491581 | − | 0.491581i | −0.417223 | − | 0.908804i | \(-0.636997\pi\) |
0.908804 | + | 0.417223i | \(0.136997\pi\) | |||||||
\(198\) | −0.135313 | + | 5.19826i | −0.00961628 | + | 0.369424i | ||||
\(199\) | − | 24.4752i | − | 1.73500i | −0.497438 | − | 0.867500i | \(-0.665726\pi\) | ||
0.497438 | − | 0.867500i | \(-0.334274\pi\) | |||||||
\(200\) | 16.1828 | + | 33.3128i | 1.14429 | + | 2.35557i | ||||
\(201\) | −0.313276 | + | 0.407329i | −0.0220968 | + | 0.0287308i | ||||
\(202\) | −10.2555 | + | 2.48800i | −0.721578 | + | 0.175055i | ||||
\(203\) | 0.647456 | + | 2.41634i | 0.0454425 | + | 0.169594i | ||||
\(204\) | 0.980111 | + | 11.8978i | 0.0686215 | + | 0.833009i | ||||
\(205\) | 4.36352 | − | 16.2849i | 0.304762 | − | 1.13739i | ||||
\(206\) | 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 | ||||
\(210\) | −18.3347 | + | 7.06475i | −1.26522 | + | 0.487514i | ||||
\(211\) | 21.1840 | − | 5.67623i | 1.45837 | − | 0.390768i | 0.559441 | − | 0.828870i | \(-0.311016\pi\) |
0.898925 | + | 0.438102i | \(0.144349\pi\) | |||||||
\(212\) | −3.37602 | − | 15.5189i | −0.231866 | − | 1.06584i | ||||
\(213\) | −14.7334 | − | 19.2453i | −1.00952 | − | 1.31867i | ||||
\(214\) | −2.16927 | + | 7.38795i | −0.148288 | + | 0.505030i | ||||
\(215\) | − | 13.0375i | − | 0.889148i | ||||||
\(216\) | 13.9602 | − | 4.59479i | 0.949873 | − | 0.312636i | ||||
\(217\) | − | 4.74612i | − | 0.322188i | ||||||
\(218\) | 4.00332 | + | 1.17547i | 0.271139 | + | 0.0796126i | ||||
\(219\) | 0.0293847 | + | 0.0383833i | 0.00198563 | + | 0.00259370i | ||||
\(220\) | −8.77193 | − | 5.63730i | −0.591403 | − | 0.380066i | ||||
\(221\) | −7.97551 | + | 2.13703i | −0.536491 | + | 0.143752i | ||||
\(222\) | 7.18861 | + | 18.6562i | 0.482468 | + | 1.25212i | ||||
\(223\) | −1.56986 | − | 2.71908i | −0.105126 | − | 0.182083i | 0.808664 | − | 0.588271i | \(-0.200191\pi\) |
−0.913790 | + | 0.406188i | \(0.866858\pi\) | |||||||
\(224\) | −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 | ||||
\(227\) | 3.64479 | − | 13.6026i | 0.241913 | − | 0.902833i | −0.732996 | − | 0.680233i | \(-0.761879\pi\) |
0.974910 | − | 0.222601i | \(-0.0714546\pi\) | |||||||
\(228\) | 13.2336 | − | 15.6096i | 0.876414 | − | 1.03377i | ||||
\(229\) | −4.91218 | − | 18.3325i | −0.324606 | − | 1.21145i | −0.914707 | − | 0.404117i | \(-0.867579\pi\) |
0.590101 | − | 0.807330i | \(-0.299088\pi\) | |||||||
\(230\) | −2.20867 | − | 9.10415i | −0.145636 | − | 0.600310i | ||||
\(231\) | 2.44061 | − | 3.17333i | 0.160580 | − | 0.208790i | ||||
\(232\) | 3.54569 | + | 1.22714i | 0.232786 | + | 0.0805656i | ||||
\(233\) | − | 12.6802i | − | 0.830708i | −0.909660 | − | 0.415354i | \(-0.863658\pi\) | ||
0.909660 | − | 0.415354i | \(-0.136342\pi\) | |||||||
\(234\) | 4.85171 | + | 8.93243i | 0.317166 | + | 0.583932i | ||||
\(235\) | −1.38776 | + | 1.38776i | −0.0905275 | + | 0.0905275i | ||||
\(236\) | 21.5490 | + | 6.88832i | 1.40272 | + | 0.448391i | ||||
\(237\) | −7.00781 | − | 2.91188i | −0.455206 | − | 0.189147i | ||||
\(238\) | 4.78344 | − | 7.84779i | 0.310065 | − | 0.508697i | ||||
\(239\) | −3.69405 | + | 6.39829i | −0.238948 | + | 0.413871i | −0.960413 | − | 0.278581i | \(-0.910136\pi\) |
0.721464 | + | 0.692451i | \(0.243469\pi\) | |||||||
\(240\) | −6.63827 | + | 28.7132i | −0.428499 | + | 1.85343i | ||||
\(241\) | 11.1955 | + | 19.3912i | 0.721167 | + | 1.24910i | 0.960533 | + | 0.278168i | \(0.0897271\pi\) |
−0.239366 | + | 0.970929i | \(0.576940\pi\) | |||||||
\(242\) | −13.4281 | − | 0.319605i | −0.863189 | − | 0.0205450i | ||||
\(243\) | 15.4662 | − | 1.94859i | 0.992156 | − | 0.125002i | ||||
\(244\) | −6.60546 | − | 7.26615i | −0.422871 | − | 0.465168i | ||||
\(245\) | −14.1499 | − | 3.79145i | −0.904003 | − | 0.242227i | ||||
\(246\) | 7.84704 | − | 5.71644i | 0.500309 | − | 0.364467i | ||||
\(247\) | 12.2577 | + | 7.07698i | 0.779938 | + | 0.450297i | ||||
\(248\) | −5.89527 | − | 3.98996i | −0.374350 | − | 0.253362i | ||||
\(249\) | −2.33929 | − | 5.66538i | −0.148246 | − | 0.359029i | ||||
\(250\) | −46.7185 | − | 13.7176i | −2.95474 | − | 0.867579i | ||||
\(251\) | −7.52339 | + | 7.52339i | −0.474872 | + | 0.474872i | −0.903487 | − | 0.428615i | \(-0.859002\pi\) |
0.428615 | + | 0.903487i | \(0.359002\pi\) | |||||||
\(252\) | −10.7697 | − | 3.46910i | −0.678430 | − | 0.218533i | ||||
\(253\) | 1.34967 | + | 1.34967i | 0.0848533 | + | 0.0848533i | ||||
\(254\) | 6.07991 | − | 3.31991i | 0.381487 | − | 0.208309i | ||||
\(255\) | −20.1264 | − | 15.4792i | −1.26036 | − | 0.969343i | ||||
\(256\) | −10.4775 | + | 12.0923i | −0.654842 | + | 0.755766i | ||||
\(257\) | 2.21664 | − | 3.83934i | 0.138270 | − | 0.239491i | −0.788572 | − | 0.614943i | \(-0.789179\pi\) |
0.926842 | + | 0.375452i | \(0.122512\pi\) | |||||||
\(258\) | 4.71728 | − | 5.84050i | 0.293685 | − | 0.363613i | ||||
\(259\) | 3.98377 | − | 14.8676i | 0.247539 | − | 0.923830i | ||||
\(260\) | −20.3600 | − | 0.969736i | −1.26267 | − | 0.0601405i | ||||
\(261\) | 3.44203 | + | 1.99749i | 0.213056 | + | 0.123642i | ||||
\(262\) | −18.8348 | + | 17.9591i | −1.16362 | + | 1.10952i | ||||
\(263\) | 4.61948 | − | 2.66706i | 0.284850 | − | 0.164458i | −0.350767 | − | 0.936463i | \(-0.614079\pi\) |
0.635617 | + | 0.772005i | \(0.280746\pi\) | |||||||
\(264\) | −1.88992 | − | 5.69928i | −0.116316 | − | 0.350767i | ||||
\(265\) | 29.2529 | + | 16.8891i | 1.79699 | + | 1.03749i | ||||
\(266\) | −15.3107 | + | 3.71438i | −0.938757 | + | 0.227743i | ||||
\(267\) | −5.00004 | − | 6.53122i | −0.305997 | − | 0.399704i | ||||
\(268\) | 0.180667 | − | 0.565189i | 0.0110360 | − | 0.0345244i | ||||
\(269\) | 20.6406 | + | 20.6406i | 1.25848 | + | 1.25848i | 0.951818 | + | 0.306663i | \(0.0992124\pi\) |
0.306663 | + | 0.951818i | \(0.400788\pi\) | |||||||
\(270\) | −12.7412 | + | 28.5436i | −0.775407 | + | 1.73711i | ||||
\(271\) | 23.2339 | 1.41136 | 0.705680 | − | 0.708530i | \(-0.250642\pi\) | ||||
0.705680 | + | 0.708530i | \(0.250642\pi\) | |||||||
\(272\) | −5.72660 | − | 12.5391i | −0.347226 | − | 0.760294i | ||||
\(273\) | 1.03010 | − | 7.75762i | 0.0623446 | − | 0.469512i | ||||
\(274\) | 11.4057 | − | 18.7124i | 0.689044 | − | 1.13046i | ||||
\(275\) | 15.5019 | − | 4.15373i | 0.934801 | − | 0.250479i | ||||
\(276\) | 2.30467 | − | 4.87761i | 0.138725 | − | 0.293598i | ||||
\(277\) | 19.0092 | + | 5.09351i | 1.14215 | + | 0.306039i | 0.779817 | − | 0.626007i | \(-0.215312\pi\) |
0.362338 | + | 0.932047i | \(0.381979\pi\) | |||||||
\(278\) | −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 | \(-0.856419\pi\) |
−0.0724633 | + | 0.997371i | \(0.523086\pi\) | |||||||
\(282\) | −1.12381 | + | 0.119560i | −0.0669220 | + | 0.00711968i | ||||
\(283\) | −3.43848 | − | 12.8326i | −0.204397 | − | 0.762819i | −0.989633 | − | 0.143622i | \(-0.954125\pi\) |
0.785236 | − | 0.619197i | \(-0.212542\pi\) | |||||||
\(284\) | 23.5443 | + | 15.1308i | 1.39710 | + | 0.897848i | ||||
\(285\) | 5.63302 | + | 43.1585i | 0.333671 | + | 2.55649i | ||||
\(286\) | 3.64494 | − | 1.99030i | 0.215530 | − | 0.117689i | ||||
\(287\) | −7.47420 | −0.441188 | ||||||||
\(288\) | −13.3629 | + | 10.4610i | −0.787419 | + | 0.616419i | ||||
\(289\) | −5.12358 | −0.301387 | ||||||||
\(290\) | −7.00390 | + | 3.82445i | −0.411283 | + | 0.224579i | ||||
\(291\) | −13.3508 | − | 5.54752i | −0.782638 | − | 0.325201i | ||||
\(292\) | −0.0469573 | − | 0.0301772i | −0.00274797 | − | 0.00176599i | ||||
\(293\) | 2.20679 | + | 8.23584i | 0.128922 | + | 0.481143i | 0.999949 | − | 0.0100919i | \(-0.00321239\pi\) |
−0.871027 | + | 0.491235i | \(0.836546\pi\) | |||||||
\(294\) | −4.96699 | − | 6.81826i | −0.289681 | − | 0.397649i | ||||
\(295\) | −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 | ||||
\(299\) | 3.60405 | + | 0.965702i | 0.208427 | + | 0.0558480i | ||||
\(300\) | −25.8280 | − | 37.2875i | −1.49118 | − | 2.15279i | ||||
\(301\) | −5.58291 | + | 1.49594i | −0.321794 | + | 0.0862244i | ||||
\(302\) | 2.86031 | − | 4.69266i | 0.164592 | − | 0.270032i | ||||
\(303\) | 11.9464 | − | 4.93279i | 0.686304 | − | 0.283381i | ||||
\(304\) | −8.25760 | + | 22.1403i | −0.473606 | + | 1.26984i | ||||
\(305\) | 20.8853 | 1.19589 | ||||||||
\(306\) | −3.41543 | − | 14.2166i | −0.195247 | − | 0.812706i | ||||
\(307\) | −7.13558 | − | 7.13558i | −0.407249 | − | 0.407249i | 0.473529 | − | 0.880778i | \(-0.342980\pi\) |
−0.880778 | + | 0.473529i | \(0.842980\pi\) | |||||||
\(308\) | −1.40750 | + | 4.40315i | −0.0802000 | + | 0.250893i | ||||
\(309\) | −24.2353 | + | 3.16318i | −1.37870 | + | 0.179947i | ||||
\(310\) | 14.7134 | − | 3.56947i | 0.835663 | − | 0.202732i | ||||
\(311\) | 10.0741 | + | 5.81630i | 0.571252 | + | 0.329812i | 0.757649 | − | 0.652662i | \(-0.226348\pi\) |
−0.186397 | + | 0.982474i | \(0.559681\pi\) | |||||||
\(312\) | −8.76994 | − | 7.80116i | −0.496500 | − | 0.441654i | ||||
\(313\) | 5.76956 | − | 3.33106i | 0.326115 | − | 0.188282i | −0.328000 | − | 0.944678i | \(-0.606375\pi\) |
0.654115 | + | 0.756395i | \(0.273041\pi\) | |||||||
\(314\) | 6.60513 | − | 6.29802i | 0.372749 | − | 0.355418i | ||||
\(315\) | 20.8674 | − | 11.9859i | 1.17574 | − | 0.675328i | ||||
\(316\) | 8.75276 | + | 0.416890i | 0.492381 | + | 0.0234519i | ||||
\(317\) | 0.708583 | − | 2.64447i | 0.0397980 | − | 0.148528i | −0.943168 | − | 0.332317i | \(-0.892170\pi\) |
0.982966 | + | 0.183789i | \(0.0588363\pi\) | |||||||
\(318\) | 6.99372 | + | 18.1504i | 0.392188 | + | 1.01782i | ||||
\(319\) | 0.812945 | − | 1.40806i | 0.0455162 | − | 0.0788364i | ||||
\(320\) | −4.04061 | − | 33.7889i | −0.225877 | − | 1.88886i | ||||
\(321\) | 1.24132 | − | 9.34829i | 0.0692837 | − | 0.521770i | ||||
\(322\) | −3.64516 | + | 1.99042i | −0.203137 | + | 0.110922i | ||||
\(323\) | −14.3957 | − | 14.3957i | −0.801000 | − | 0.801000i | ||||
\(324\) | −16.0356 | + | 8.17681i | −0.890865 | + | 0.454267i | ||||
\(325\) | 22.1835 | − | 22.1835i | 1.23052 | − | 1.23052i | ||||
\(326\) | 20.2996 | + | 5.96044i | 1.12429 | + | 0.330118i | ||||
\(327\) | −5.06557 | − | 0.672636i | −0.280126 | − | 0.0371968i | ||||
\(328\) | −6.28339 | + | 9.28389i | −0.346942 | + | 0.512617i | ||||
\(329\) | 0.753501 | + | 0.435034i | 0.0415418 | + | 0.0239842i | ||||
\(330\) | 11.6731 | + | 5.17947i | 0.642584 | + | 0.285120i | ||||
\(331\) | −19.6789 | − | 5.27295i | −1.08165 | − | 0.289827i | −0.326379 | − | 0.945239i | \(-0.605829\pi\) |
−0.755272 | + | 0.655412i | \(0.772495\pi\) | |||||||
\(332\) | 4.76082 | + | 5.23701i | 0.261284 | + | 0.287418i | ||||
\(333\) | −12.1960 | − | 21.2332i | −0.668337 | − | 1.16357i | ||||
\(334\) | −30.5524 | − | 0.727186i | −1.67175 | − | 0.0397898i | ||||
\(335\) | 0.630997 | + | 1.09292i | 0.0344751 | + | 0.0597126i | ||||
\(336\) | 13.0573 | − | 0.451944i | 0.712332 | − | 0.0246555i | ||||
\(337\) | −0.514533 | + | 0.891197i | −0.0280284 | + | 0.0485466i | −0.879699 | − | 0.475530i | \(-0.842256\pi\) |
0.851671 | + | 0.524077i | \(0.175590\pi\) | |||||||
\(338\) | −5.34341 | + | 8.76647i | −0.290643 | + | 0.476833i | ||||
\(339\) | −0.918174 | − | 7.03477i | −0.0498684 | − | 0.382076i | ||||
\(340\) | 27.9263 | + | 8.92688i | 1.51452 | + | 0.484128i | ||||
\(341\) | −2.18123 | + | 2.18123i | −0.118120 | + | 0.118120i | ||||
\(342\) | −13.0923 | + | 21.3722i | −0.707953 | + | 1.15568i | ||||
\(343\) | 19.6948i | 1.06342i | ||||||||
\(344\) | −2.83529 | + | 8.19227i | −0.152868 | + | 0.441698i | ||||
\(345\) | 4.37898 | + | 10.6052i | 0.235756 | + | 0.570964i | ||||
\(346\) | 6.45378 | + | 26.6025i | 0.346957 | + | 1.43016i | ||||
\(347\) | −8.08026 | − | 30.1559i | −0.433771 | − | 1.61886i | −0.743990 | − | 0.668191i | \(-0.767069\pi\) |
0.310219 | − | 0.950665i | \(-0.399598\pi\) | |||||||
\(348\) | −4.52137 | − | 0.820917i | −0.242371 | − | 0.0440058i | ||||
\(349\) | 4.62320 | − | 17.2540i | 0.247474 | − | 0.923587i | −0.724649 | − | 0.689118i | \(-0.757998\pi\) |
0.972124 | − | 0.234469i | \(-0.0753352\pi\) | |||||||
\(350\) | −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 | 0.837363 | − | 0.546647i | \(-0.184096\pi\) |
−0.892092 | + | 0.451854i | \(0.850763\pi\) | |||||||
\(354\) | −27.3720 | − | 4.29969i | −1.45480 | − | 0.228526i | ||||
\(355\) | −57.4962 | + | 15.4061i | −3.05158 | + | 0.817668i | ||||
\(356\) | 7.99015 | + | 5.13489i | 0.423477 | + | 0.272149i | ||||
\(357\) | −4.31917 | + | 10.3946i | −0.228595 | + | 0.550143i | ||||
\(358\) | −5.52961 | − | 1.62362i | −0.292249 | − | 0.0858110i | ||||
\(359\) | − | 4.76579i | − | 0.251529i | −0.992060 | − | 0.125764i | \(-0.959862\pi\) | ||
0.992060 | − | 0.125764i | \(-0.0401383\pi\) | |||||||
\(360\) | 2.65477 | − | 35.9961i | 0.139918 | − | 1.89716i | ||||
\(361\) | 15.8989i | 0.836785i | ||||||||
\(362\) | −5.35391 | + | 18.2340i | −0.281395 | + | 0.958356i | ||||
\(363\) | 16.3123 | − | 2.12907i | 0.856171 | − | 0.111747i | ||||
\(364\) | 1.92087 | + | 8.82983i | 0.100681 | + | 0.462809i | ||||
\(365\) | 0.114672 | − | 0.0307261i | 0.00600218 | − | 0.00160828i | ||||
\(366\) | 9.35617 | + | 7.55683i | 0.489055 | + | 0.395002i | ||||
\(367\) | 8.61021 | + | 14.9133i | 0.449449 | + | 0.778469i | 0.998350 | − | 0.0574187i | \(-0.0182870\pi\) |
−0.548901 | + | 0.835887i | \(0.684954\pi\) | |||||||
\(368\) | −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 | ||||
\(371\) | 3.87577 | − | 14.4646i | 0.201220 | − | 0.750963i | ||||
\(372\) | 7.88278 | + | 3.72461i | 0.408703 | + | 0.193112i | ||||
\(373\) | 4.29744 | + | 16.0383i | 0.222513 | + | 0.830430i | 0.983386 | + | 0.181529i | \(0.0581046\pi\) |
−0.760872 | + | 0.648901i | \(0.775229\pi\) | |||||||
\(374\) | −5.80508 | + | 1.40832i | −0.300174 | + | 0.0728224i | ||||
\(375\) | 59.1149 | + | 7.84962i | 3.05268 | + | 0.405353i | ||||
\(376\) | 1.17382 | − | 0.570219i | 0.0605350 | − | 0.0294068i | ||||
\(377\) | − | 3.17830i | − | 0.163691i | ||||||
\(378\) | 13.6849 | + | 2.18093i | 0.703876 | + | 0.112175i | ||||
\(379\) | −22.5741 | + | 22.5741i | −1.15955 | + | 1.15955i | −0.174981 | + | 0.984572i | \(0.555987\pi\) |
−0.984572 | + | 0.174981i | \(0.944013\pi\) | |||||||
\(380\) | −23.0297 | − | 44.6708i | −1.18140 | − | 2.29156i | ||||
\(381\) | −6.73667 | + | 5.15731i | −0.345130 | + | 0.264217i | ||||
\(382\) | 5.70983 | + | 3.48030i | 0.292140 | + | 0.178067i | ||||
\(383\) | −12.6153 | + | 21.8504i | −0.644614 | + | 1.11650i | 0.339777 | + | 0.940506i | \(0.389648\pi\) |
−0.984391 | + | 0.175997i | \(0.943685\pi\) | |||||||
\(384\) | 10.4156 | − | 16.5987i | 0.531517 | − | 0.847048i | ||||
\(385\) | −4.91584 | − | 8.51448i | −0.250534 | − | 0.433938i | ||||
\(386\) | 0.657224 | − | 27.6130i | 0.0334518 | − | 1.40546i | ||||
\(387\) | −4.61518 | + | 7.95276i | −0.234603 | + | 0.404261i | ||||
\(388\) | 16.6752 | + | 0.794231i | 0.846554 | + | 0.0403210i | ||||
\(389\) | 7.09570 | + | 1.90129i | 0.359766 | + | 0.0963991i | 0.434175 | − | 0.900829i | \(-0.357040\pi\) |
−0.0744082 | + | 0.997228i | \(0.523707\pi\) | |||||||
\(390\) | 24.8239 | − | 2.64096i | 1.25701 | − | 0.133730i | ||||
\(391\) | −4.64781 | − | 2.68342i | −0.235050 | − | 0.135706i | ||||
\(392\) | 8.06674 | + | 5.45962i | 0.407432 | + | 0.275752i | ||||
\(393\) | 19.4315 | − | 25.2653i | 0.980190 | − | 1.27447i | ||||
\(394\) | 3.88768 | − | 13.2404i | 0.195858 | − | 0.667040i | ||||
\(395\) | −13.1783 | + | 13.1783i | −0.663073 | + | 0.663073i | ||||
\(396\) | 3.35524 | + | 6.54391i | 0.168607 | + | 0.328844i | ||||
\(397\) | −2.23236 | − | 2.23236i | −0.112039 | − | 0.112039i | 0.648865 | − | 0.760904i | \(-0.275244\pi\) |
−0.760904 | + | 0.648865i | \(0.775244\pi\) | |||||||
\(398\) | −16.5884 | − | 30.3792i | −0.831501 | − | 1.52277i | ||||
\(399\) | 17.8350 | − | 7.36424i | 0.892867 | − | 0.368673i | ||||
\(400\) | 42.6647 | + | 30.3806i | 2.13323 | + | 1.51903i | ||||
\(401\) | 9.10949 | − | 15.7781i | 0.454906 | − | 0.787921i | −0.543777 | − | 0.839230i | \(-0.683006\pi\) |
0.998683 | + | 0.0513094i | \(0.0163395\pi\) | |||||||
\(402\) | −0.112773 | + | 0.717914i | −0.00562458 | + | 0.0358063i | ||||
\(403\) | −1.56069 | + | 5.82456i | −0.0777433 | + | 0.290142i | ||||
\(404\) | −11.0431 | + | 10.0390i | −0.549417 | + | 0.499460i | ||||
\(405\) | 10.0731 | − | 36.9344i | 0.500538 | − | 1.83528i | ||||
\(406\) | 2.44134 | + | 2.56039i | 0.121162 | + | 0.127070i | ||||
\(407\) | −8.66376 | + | 5.00202i | −0.429447 | + | 0.247941i | ||||
\(408\) | 9.28041 | + | 14.1035i | 0.459449 | + | 0.698226i | ||||
\(409\) | −22.6986 | − | 13.1050i | −1.12237 | − | 0.648002i | −0.180368 | − | 0.983599i | \(-0.557729\pi\) |
−0.942006 | + | 0.335597i | \(0.891062\pi\) | |||||||
\(410\) | −5.62121 | − | 23.1706i | −0.277612 | − | 1.14432i | ||||
\(411\) | −10.2987 | + | 24.7851i | −0.507997 | + | 1.22256i | ||||
\(412\) | 25.0845 | − | 12.9322i | 1.23583 | − | 0.637122i | ||||
\(413\) | 15.0834 | + | 15.0834i | 0.742207 | + | 0.742207i | ||||
\(414\) | −1.87554 | + | 6.33532i | −0.0921775 | + | 0.311364i | ||||
\(415\) | −15.0529 | −0.738918 | ||||||||
\(416\) | 12.5826 | + | 5.03707i | 0.616912 | + | 0.246963i | ||||
\(417\) | 10.1232 | + | 7.78576i | 0.495737 | + | 0.381270i | ||||
\(418\) | 8.74356 | + | 5.32944i | 0.427661 | + | 0.260671i | ||||
\(419\) | 11.2202 | − | 3.00645i | 0.548144 | − | 0.146875i | 0.0258901 | − | 0.999665i | \(-0.491758\pi\) |
0.522254 | + | 0.852790i | \(0.325091\pi\) | |||||||
\(420\) | −17.9692 | + | 21.1955i | −0.876809 | + | 1.03424i | ||||
\(421\) | −9.74548 | − | 2.61129i | −0.474966 | − | 0.127267i | 0.0133918 | − | 0.999910i | \(-0.495737\pi\) |
−0.488358 | + | 0.872644i | \(0.662404\pi\) | |||||||
\(422\) | 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 | ||||
\(426\) | −31.3313 | − | 13.9020i | −1.51801 | − | 0.673553i | ||||
\(427\) | −2.39641 | − | 8.94353i | −0.115970 | − | 0.432808i | ||||
\(428\) | 2.31474 | + | 10.6404i | 0.111887 | + | 0.514321i | ||||
\(429\) | −4.03867 | + | 3.09184i | −0.194989 | + | 0.149276i | ||||
\(430\) | −8.83633 | − | 16.1824i | −0.426126 | − | 0.780385i | ||||
\(431\) | −4.07825 | −0.196442 | −0.0982211 | − | 0.995165i | \(-0.531315\pi\) | ||||
−0.0982211 | + | 0.995165i | \(0.531315\pi\) | |||||||
\(432\) | 14.2136 | − | 15.1649i | 0.683851 | − | 0.729622i | ||||
\(433\) | −25.1331 | −1.20782 | −0.603910 | − | 0.797052i | \(-0.706392\pi\) | ||||
−0.603910 | + | 0.797052i | \(0.706392\pi\) | |||||||
\(434\) | −3.21675 | − | 5.89100i | −0.154409 | − | 0.282777i | ||||
\(435\) | 7.76047 | − | 5.94110i | 0.372086 | − | 0.284854i | ||||
\(436\) | 5.76570 | − | 1.25429i | 0.276127 | − | 0.0600696i | ||||
\(437\) | 2.38110 | + | 8.88638i | 0.113903 | + | 0.425093i | ||||
\(438\) | 0.0624878 | + | 0.0277264i | 0.00298578 | + | 0.00132482i | ||||
\(439\) | 13.5272 | − | 7.80991i | 0.645616 | − | 0.372747i | −0.141158 | − | 0.989987i | \(-0.545083\pi\) |
0.786775 | + | 0.617240i | \(0.211749\pi\) | |||||||
\(440\) | −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 | ||||
\(443\) | 32.6709 | + | 8.75415i | 1.55224 | + | 0.415922i | 0.930197 | − | 0.367060i | \(-0.119636\pi\) |
0.622045 | + | 0.782982i | \(0.286302\pi\) | |||||||
\(444\) | 21.5671 | + | 18.2843i | 1.02353 | + | 0.867733i | ||||
\(445\) | −19.5123 | + | 5.22830i | −0.924970 | + | 0.247845i | ||||
\(446\) | −3.79144 | − | 2.31099i | −0.179530 | − | 0.109428i | ||||
\(447\) | 10.6039 | + | 8.15544i | 0.501547 | + | 0.385739i | ||||
\(448\) | −14.0055 | + | 5.60726i | −0.661697 | + | 0.264918i | ||||
\(449\) | −28.0284 | −1.32274 | −0.661370 | − | 0.750060i | \(-0.730025\pi\) | ||||
−0.661370 | + | 0.750060i | \(0.730025\pi\) | |||||||
\(450\) | 38.2466 | + | 40.2909i | 1.80296 | + | 1.89933i | ||||
\(451\) | 3.43500 | + | 3.43500i | 0.161748 | + | 0.161748i | ||||
\(452\) | 3.75381 | + | 7.28127i | 0.176565 | + | 0.342482i | ||||
\(453\) | −2.58269 | + | 6.21557i | −0.121345 | + | 0.292033i | ||||
\(454\) | −4.69532 | − | 19.3541i | −0.220362 | − | 0.908334i | ||||
\(455\) | −16.6441 | − | 9.60949i | −0.780289 | − | 0.450500i | ||||
\(456\) | 5.84618 | − | 28.3442i | 0.273772 | − | 1.32734i | ||||
\(457\) | 14.8363 | − | 8.56574i | 0.694012 | − | 0.400688i | −0.111101 | − | 0.993809i | \(-0.535438\pi\) |
0.805113 | + | 0.593121i | \(0.202104\pi\) | |||||||
\(458\) | −18.5222 | − | 19.4254i | −0.865488 | − | 0.907692i | ||||
\(459\) | 6.79742 | + | 16.5668i | 0.317276 | + | 0.773272i | ||||
\(460\) | −8.91192 | − | 9.80332i | −0.415521 | − | 0.457082i | ||||
\(461\) | 2.43727 | − | 9.09603i | 0.113515 | − | 0.423644i | −0.885656 | − | 0.464341i | \(-0.846291\pi\) |
0.999172 | + | 0.0406970i | \(0.0129578\pi\) | |||||||
\(462\) | 0.878564 | − | 5.59297i | 0.0408745 | − | 0.260209i | ||||
\(463\) | −0.777204 | + | 1.34616i | −0.0361197 | + | 0.0625612i | −0.883520 | − | 0.468393i | \(-0.844833\pi\) |
0.847400 | + | 0.530954i | \(0.178166\pi\) | |||||||
\(464\) | 5.23271 | − | 0.879991i | 0.242922 | − | 0.0408526i | ||||
\(465\) | −17.1392 | + | 7.07694i | −0.794812 | + | 0.328185i | ||||
\(466\) | −8.59420 | − | 15.7390i | −0.398118 | − | 0.729094i | ||||
\(467\) | 9.81211 | + | 9.81211i | 0.454050 | + | 0.454050i | 0.896696 | − | 0.442646i | \(-0.145960\pi\) |
−0.442646 | + | 0.896696i | \(0.645960\pi\) | |||||||
\(468\) | 12.0761 | + | 7.79883i | 0.558220 | + | 0.360501i | ||||
\(469\) | 0.395609 | − | 0.395609i | 0.0182675 | − | 0.0182675i | ||||
\(470\) | −0.781946 | + | 2.66309i | −0.0360685 | + | 0.122839i | ||||
\(471\) | −6.81438 | + | 8.86022i | −0.313990 | + | 0.408257i | ||||
\(472\) | 31.4158 | − | 6.05521i | 1.44603 | − | 0.278713i | ||||
\(473\) | 3.25331 | + | 1.87830i | 0.149587 | + | 0.0863643i | ||||
\(474\) | −10.6718 | + | 1.13535i | −0.490173 | + | 0.0521484i | ||||
\(475\) | 74.7175 | + | 20.0205i | 3.42828 | + | 0.918604i | ||||
\(476\) | 0.618370 | − | 12.9829i | 0.0283429 | − | 0.595071i | ||||
\(477\) | −11.8654 | − | 20.6576i | −0.543278 | − | 0.945845i | ||||
\(478\) | −0.248614 | + | 10.4454i | −0.0113713 | + | 0.477761i | ||||
\(479\) | −11.7030 | − | 20.2702i | −0.534724 | − | 0.926169i | −0.999177 | − | 0.0405710i | \(-0.987082\pi\) |
0.464453 | − | 0.885598i | \(-0.346251\pi\) | |||||||
\(480\) | 11.2212 | + | 40.1386i | 0.512175 | + | 1.83207i | ||||
\(481\) | −9.77797 | + | 16.9359i | −0.445837 | + | 0.772212i | ||||
\(482\) | 27.0388 | + | 16.4809i | 1.23158 | + | 0.750684i | ||||
\(483\) | 4.03891 | − | 3.09202i | 0.183777 | − | 0.140692i | ||||
\(484\) | −16.8838 | + | 8.70436i | −0.767448 | + | 0.395653i | ||||
\(485\) | −25.1064 | + | 25.1064i | −1.14002 | + | 1.14002i | ||||
\(486\) | 17.8763 | − | 12.9011i | 0.810886 | − | 0.585205i | ||||
\(487\) | − | 21.0301i | − | 0.952967i | −0.879183 | − | 0.476483i | \(-0.841911\pi\) | ||
0.879183 | − | 0.476483i | \(-0.158089\pi\) | |||||||
\(488\) | −13.1236 | − | 4.54198i | −0.594077 | − | 0.205606i | ||||
\(489\) | −25.6860 | − | 3.41073i | −1.16156 | − | 0.154239i | ||||
\(490\) | −20.1329 | + | 4.88425i | −0.909511 | + | 0.220648i | ||||
\(491\) | −6.82214 | − | 25.4606i | −0.307879 | − | 1.14902i | −0.930439 | − | 0.366447i | \(-0.880574\pi\) |
0.622560 | − | 0.782572i | \(-0.286093\pi\) | |||||||
\(492\) | 5.86553 | − | 12.4138i | 0.264438 | − | 0.559658i | ||||
\(493\) | −1.18321 | + | 4.41580i | −0.0532891 | + | 0.198877i | ||||
\(494\) | 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 | ||||
\(498\) | −6.74337 | − | 5.44652i | −0.302178 | − | 0.244064i | ||||
\(499\) | 12.8466 | − | 3.44223i | 0.575092 | − | 0.154095i | 0.0404610 | − | 0.999181i | \(-0.487117\pi\) |
0.534631 | + | 0.845086i | \(0.320451\pi\) | |||||||
\(500\) | −67.2854 | + | 14.6375i | −3.00909 | + | 0.654608i | ||||
\(501\) | 37.1147 | − | 4.84419i | 1.65816 | − | 0.216422i | ||||
\(502\) | −4.23912 | + | 14.4373i | −0.189201 | + | 0.644368i | ||||
\(503\) | 7.97796i | 0.355720i | 0.984056 | + | 0.177860i | \(0.0569174\pi\) | ||||
−0.984056 | + | 0.177860i | \(0.943083\pi\) | |||||||
\(504\) | −15.7189 | + | 2.99342i | −0.700175 | + | 0.133338i | ||||
\(505\) | − | 31.7417i | − | 1.41249i | ||||||
\(506\) | 2.59001 | + | 0.760486i | 0.115140 | + | 0.0338077i | ||||
\(507\) | 4.82479 | − | 11.6115i | 0.214276 | − | 0.515683i | ||||
\(508\) | 5.29641 | − | 8.24149i | 0.234990 | − | 0.365657i | ||||
\(509\) | 33.3037 | − | 8.92371i | 1.47616 | − | 0.395536i | 0.571123 | − | 0.820865i | \(-0.306508\pi\) |
0.905039 | + | 0.425328i | \(0.139841\pi\) | |||||||
\(510\) | −35.4726 | − | 5.57216i | −1.57075 | − | 0.246739i | ||||
\(511\) | −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 | ||||
\(515\) | −15.5353 | + | 57.9785i | −0.684567 | + | 2.55484i | ||||
\(516\) | 1.89672 | − | 10.4466i | 0.0834983 | − | 0.459884i | ||||
\(517\) | −0.146362 | − | 0.546229i | −0.00643697 | − | 0.0240231i | ||||
\(518\) | −5.13200 | − | 21.1541i | −0.225487 | − | 0.929458i | ||||
\(519\) | −12.7955 | − | 30.9886i | −0.561658 | − | 1.36025i | ||||
\(520\) | −25.9285 | + | 12.5956i | −1.13704 | + | 0.552354i | ||||
\(521\) | 20.0111i | 0.876703i | 0.898804 | + | 0.438352i | \(0.144438\pi\) | ||||
−0.898804 | + | 0.438352i | \(0.855562\pi\) | |||||||
\(522\) | 5.62615 | + | 0.146451i | 0.246250 | + | 0.00641000i | ||||
\(523\) | −11.2432 | + | 11.2432i | −0.491633 | + | 0.491633i | −0.908820 | − | 0.417188i | \(-0.863016\pi\) |
0.417188 | + | 0.908820i | \(0.363016\pi\) | |||||||
\(524\) | −11.2062 | + | 35.0568i | −0.489545 | + | 1.53146i | ||||
\(525\) | −5.53518 | − | 42.4089i | −0.241575 | − | 1.85087i | ||||
\(526\) | 3.92617 | − | 6.44134i | 0.171189 | − | 0.280856i | ||||
\(527\) | 4.33671 | − | 7.51140i | 0.188910 | − | 0.327202i | ||||
\(528\) | −6.20858 | − | 5.79317i | −0.270194 | − | 0.252115i | ||||
\(529\) | −10.2874 | − | 17.8183i | −0.447278 | − | 0.774708i | ||||
\(530\) | 47.7562 | + | 1.13666i | 2.07440 | + | 0.0493733i | ||||
\(531\) | 33.9347 | + | 0.0755992i | 1.47264 | + | 0.00328072i | ||||
\(532\) | −16.4865 | + | 14.9874i | −0.714780 | + | 0.649786i | ||||
\(533\) | 9.17253 | + | 2.45777i | 0.397306 | + | 0.106458i | ||||
\(534\) | −10.6328 | − | 4.71786i | −0.460126 | − | 0.204162i | ||||
\(535\) | −20.0569 | − | 11.5799i | −0.867137 | − | 0.500642i | ||||
\(536\) | −0.158816 | − | 0.823975i | −0.00685982 | − | 0.0355903i | ||||
\(537\) | 6.99685 | + | 0.929082i | 0.301936 | + | 0.0400929i | ||||
\(538\) | 39.6091 | + | 11.6301i | 1.70767 | + | 0.501411i | ||||
\(539\) | 2.98466 | − | 2.98466i | 0.128559 | − | 0.128559i | ||||
\(540\) | 3.53113 | + | 44.0646i | 0.151956 | + | 1.89624i | ||||
\(541\) | 9.38252 | + | 9.38252i | 0.403386 | + | 0.403386i | 0.879424 | − | 0.476038i | \(-0.157928\pi\) |
−0.476038 | + | 0.879424i | \(0.657928\pi\) | |||||||
\(542\) | 28.8385 | − | 15.7471i | 1.23872 | − | 0.676397i | ||||
\(543\) | 3.06366 | − | 23.0722i | 0.131474 | − | 0.990123i | ||||
\(544\) | −15.6065 | − | 11.6825i | −0.669125 | − | 0.500884i | ||||
\(545\) | −6.27481 | + | 10.8683i | −0.268783 | + | 0.465546i | ||||
\(546\) | −3.97925 | − | 10.3271i | −0.170296 | − | 0.441959i | ||||
\(547\) | −9.70067 | + | 36.2034i | −0.414770 | + | 1.54794i | 0.370524 | + | 0.928823i | \(0.379178\pi\) |
−0.785295 | + | 0.619122i | \(0.787489\pi\) | |||||||
\(548\) | 1.47445 | − | 30.9566i | 0.0629854 | − | 1.32240i | ||||
\(549\) | −12.7399 | − | 7.39327i | −0.543725 | − | 0.315537i | ||||
\(550\) | 16.4261 | − | 15.6624i | 0.700411 | − | 0.667845i | ||||
\(551\) | 6.78671 | − | 3.91831i | 0.289123 | − | 0.166926i | ||||
\(552\) | −0.445259 | − | 7.61623i | −0.0189515 | − | 0.324168i | ||||
\(553\) | 7.15532 | + | 4.13113i | 0.304275 | + | 0.175673i | ||||
\(554\) | 27.0469 | − | 6.56160i | 1.14911 | − | 0.278776i | ||||
\(555\) | −59.6303 | + | 7.78291i | −2.53116 | + | 0.330366i | ||||
\(556\) | −14.0465 | − | 4.49007i | −0.595703 | − | 0.190421i | ||||
\(557\) | 9.01169 | + | 9.01169i | 0.381838 | + | 0.381838i | 0.871764 | − | 0.489926i | \(-0.162976\pi\) |
−0.489926 | + | 0.871764i | \(0.662976\pi\) | |||||||
\(558\) | −10.2386 | − | 3.03108i | −0.433435 | − | 0.128316i | ||||
\(559\) | 7.34341 | 0.310593 | ||||||||
\(560\) | 11.2126 | − | 30.0633i | 0.473819 | − | 1.27041i | ||||
\(561\) | 6.76220 | − | 2.79217i | 0.285500 | − | 0.117886i | ||||
\(562\) | −13.8546 | + | 22.7300i | −0.584420 | + | 0.958809i | ||||
\(563\) | −16.4015 | + | 4.39477i | −0.691241 | + | 0.185218i | −0.587304 | − | 0.809366i | \(-0.699811\pi\) |
−0.103937 | + | 0.994584i | \(0.533144\pi\) | |||||||
\(564\) | −1.31387 | + | 0.910080i | −0.0553238 | + | 0.0383213i | ||||
\(565\) | −16.8294 | − | 4.50942i | −0.708018 | − | 0.189713i | ||||
\(566\) | −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 | \(-0.555107\pi\) |
0.766949 | + | 0.641708i | \(0.221774\pi\) | |||||||
\(570\) | 36.2431 | + | 49.7514i | 1.51806 | + | 2.08386i | ||||
\(571\) | −9.58794 | − | 35.7827i | −0.401243 | − | 1.49746i | −0.810881 | − | 0.585211i | \(-0.801012\pi\) |
0.409638 | − | 0.912248i | \(-0.365655\pi\) | |||||||
\(572\) | 3.17523 | − | 4.94082i | 0.132763 | − | 0.206586i | ||||
\(573\) | −7.56284 | − | 3.14250i | −0.315942 | − | 0.131280i | ||||
\(574\) | −9.27715 | + | 5.06575i | −0.387221 | + | 0.211440i | ||||
\(575\) | 20.3914 | 0.850382 | ||||||||
\(576\) | −9.49631 | + | 22.0413i | −0.395680 | + | 0.918389i | ||||
\(577\) | −2.14863 | −0.0894487 | −0.0447243 | − | 0.998999i | \(-0.514241\pi\) | ||||
−0.0447243 | + | 0.998999i | \(0.514241\pi\) | |||||||
\(578\) | −6.35950 | + | 3.47258i | −0.264520 | + | 0.144440i | ||||
\(579\) | 4.37813 | + | 33.5439i | 0.181949 | + | 1.39404i | ||||
\(580\) | −6.10133 | + | 9.49399i | −0.253344 | + | 0.394216i | ||||
\(581\) | 1.72719 | + | 6.44597i | 0.0716560 | + | 0.267424i | ||||
\(582\) | −20.3312 | + | 2.16299i | −0.842757 | + | 0.0896590i | ||||
\(583\) | −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 | ||||
\(587\) | −21.6014 | − | 5.78807i | −0.891585 | − | 0.238899i | −0.216186 | − | 0.976352i | \(-0.569362\pi\) |
−0.675399 | + | 0.737453i | \(0.736028\pi\) | |||||||
\(588\) | −10.7863 | − | 5.09654i | −0.444821 | − | 0.210178i | ||||
\(589\) | −14.3614 | + | 3.84813i | −0.591752 | + | 0.158559i | ||||
\(590\) | −35.4159 | + | 58.1038i | −1.45805 | + | 2.39210i | ||||
\(591\) | −2.22464 | + | 16.7536i | −0.0915095 | + | 0.689151i | ||||
\(592\) | −30.5904 | − | 11.4092i | −1.25726 | − | 0.468915i | ||||
\(593\) | 10.7128 | 0.439921 | 0.219960 | − | 0.975509i | \(-0.429407\pi\) | ||||
0.219960 | + | 0.975509i | \(0.429407\pi\) | |||||||
\(594\) | −5.28702 | − | 7.29165i | −0.216929 | − | 0.299180i | ||||
\(595\) | 19.5473 | + | 19.5473i | 0.801361 | + | 0.801361i | ||||
\(596\) | −14.7134 | − | 4.70327i | −0.602685 | − | 0.192653i | ||||
\(597\) | 25.7693 | + | 33.6608i | 1.05467 | + | 1.37764i | ||||
\(598\) | 5.12795 | − | 1.24404i | 0.209697 | − | 0.0508727i | ||||
\(599\) | 23.8944 | + | 13.7955i | 0.976300 | + | 0.563667i | 0.901151 | − | 0.433505i | \(-0.142723\pi\) |
0.0751489 | + | 0.997172i | \(0.476057\pi\) | |||||||
\(600\) | −57.3304 | − | 28.7768i | −2.34050 | − | 1.17481i | ||||
\(601\) | −9.37490 | + | 5.41260i | −0.382410 | + | 0.220785i | −0.678866 | − | 0.734262i | \(-0.737528\pi\) |
0.296456 | + | 0.955046i | \(0.404195\pi\) | |||||||
\(602\) | −5.91575 | + | 5.64069i | −0.241108 | + | 0.229897i | ||||
\(603\) | 0.00198282 | − | 0.890041i | 8.07466e−5 | − | 0.0362453i | ||||
\(604\) | 0.369760 | − | 7.76325i | 0.0150453 | − | 0.315882i | ||||
\(605\) | 10.4565 | − | 39.0241i | 0.425116 | − | 1.58655i | ||||
\(606\) | 11.4849 | − | 14.2196i | 0.466543 | − | 0.577630i | ||||
\(607\) | 19.0270 | − | 32.9557i | 0.772282 | − | 1.33763i | −0.164028 | − | 0.986456i | \(-0.552449\pi\) |
0.936310 | − | 0.351175i | \(-0.114218\pi\) | |||||||
\(608\) | 4.75640 | + | 33.0778i | 0.192898 | + | 1.34148i | ||||
\(609\) | −3.43455 | − | 2.64150i | −0.139175 | − | 0.107039i | ||||
\(610\) | 25.9234 | − | 14.1553i | 1.04961 | − | 0.573133i | ||||
\(611\) | −0.781661 | − | 0.781661i | −0.0316226 | − | 0.0316226i | ||||
\(612\) | −13.8748 | − | 15.3311i | −0.560855 | − | 0.619722i | ||||
\(613\) | −34.9758 | + | 34.9758i | −1.41266 | + | 1.41266i | −0.673168 | + | 0.739489i | \(0.735067\pi\) |
−0.739489 | + | 0.673168i | \(0.764933\pi\) | |||||||
\(614\) | −13.6931 | − | 4.02061i | −0.552608 | − | 0.162259i | ||||
\(615\) | 11.1448 | + | 26.9909i | 0.449401 | + | 1.08838i | ||||
\(616\) | 1.23727 | + | 6.41925i | 0.0498511 | + | 0.258639i | ||||
\(617\) | −11.9478 | − | 6.89807i | −0.481001 | − | 0.277706i | 0.239833 | − | 0.970814i | \(-0.422907\pi\) |
−0.720834 | + | 0.693108i | \(0.756241\pi\) | |||||||
\(618\) | −27.9375 | + | 20.3520i | −1.12381 | + | 0.818679i | ||||
\(619\) | 32.9231 | + | 8.82171i | 1.32329 | + | 0.354574i | 0.850209 | − | 0.526445i | \(-0.176475\pi\) |
0.473080 | + | 0.881019i | \(0.343142\pi\) | |||||||
\(620\) | 15.8433 | − | 14.4027i | 0.636282 | − | 0.578426i | ||||
\(621\) | 1.08302 | − | 8.01922i | 0.0434603 | − | 0.321800i | ||||
\(622\) | 16.4463 | + | 0.391444i | 0.659438 | + | 0.0156955i | ||||
\(623\) | 4.47773 | + | 7.75565i | 0.179396 | + | 0.310724i | ||||
\(624\) | −16.1728 | − | 3.73903i | −0.647430 | − | 0.149681i | ||||
\(625\) | 40.4916 | − | 70.1335i | 1.61966 | − | 2.80534i | ||||
\(626\) | 4.90364 | − | 8.04499i | 0.195989 | − | 0.321542i | ||||
\(627\) | −11.5811 | − | 4.81217i | −0.462505 | − | 0.192180i | ||||
\(628\) | 3.92987 | − | 12.2940i | 0.156819 | − | 0.490583i | ||||
\(629\) | 19.8900 | − | 19.8900i | 0.793066 | − | 0.793066i | ||||
\(630\) | 17.7775 | − | 29.0203i | 0.708271 | − | 1.15620i | ||||
\(631\) | 7.97657i | 0.317542i | 0.987315 | + | 0.158771i | \(0.0507532\pi\) | ||||
−0.987315 | + | 0.158771i | \(0.949247\pi\) | |||||||
\(632\) | 11.1467 | − | 5.41486i | 0.443392 | − | 0.215391i | ||||
\(633\) | −23.1580 | + | 30.1106i | −0.920449 | + | 1.19679i | ||||
\(634\) | −0.912816 | − | 3.76263i | −0.0362526 | − | 0.149433i | ||||
\(635\) | 5.39276 | + | 20.1260i | 0.214005 | + | 0.798677i | ||||
\(636\) | 20.9825 | + | 17.7886i | 0.832008 | + | 0.705363i | ||||
\(637\) | 2.13555 | − | 7.96998i | 0.0846135 | − | 0.315782i | ||||
\(638\) | 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 | −0.953200 | − | 0.302339i | \(-0.902232\pi\) |
0.214767 | − | 0.976665i | \(-0.431101\pi\) | |||||||
\(642\) | −4.79518 | − | 12.4446i | −0.189251 | − | 0.491150i | ||||
\(643\) | 12.4765 | − | 3.34308i | 0.492026 | − | 0.131838i | −0.00427070 | − | 0.999991i | \(-0.501359\pi\) |
0.496297 | + | 0.868153i | \(0.334693\pi\) | |||||||
\(644\) | −3.17542 | + | 4.94112i | −0.125129 | + | 0.194707i | ||||
\(645\) | 13.7268 | + | 17.9305i | 0.540493 | + | 0.706011i | ||||
\(646\) | −27.6252 | − | 8.11141i | −1.08690 | − | 0.319139i | ||||
\(647\) | 4.85394i | 0.190828i | 0.995438 | + | 0.0954140i | \(0.0304175\pi\) | ||||
−0.995438 | + | 0.0954140i | \(0.969582\pi\) | |||||||
\(648\) | −14.3618 | + | 21.0176i | −0.564184 | + | 0.825649i | ||||
\(649\) | − | 13.8641i | − | 0.544215i | ||||||
\(650\) | 12.4995 | − | 42.5698i | 0.490270 | − | 1.66973i | ||||
\(651\) | 4.99707 | + | 6.52735i | 0.195851 | + | 0.255827i | ||||
\(652\) | 29.2361 | − | 6.36013i | 1.14498 | − | 0.249082i | ||||
\(653\) | −37.4249 | + | 10.0280i | −1.46455 | + | 0.392425i | −0.901059 | − | 0.433696i | \(-0.857209\pi\) |
−0.563492 | + | 0.826121i | \(0.690542\pi\) | |||||||
\(654\) | −6.74339 | + | 2.59837i | −0.263687 | + | 0.101604i | ||||
\(655\) | −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 | ||||
\(659\) | 9.85502 | − | 36.7794i | 0.383897 | − | 1.43272i | −0.456001 | − | 0.889979i | \(-0.650719\pi\) |
0.839898 | − | 0.542744i | \(-0.182615\pi\) | |||||||
\(660\) | 17.9994 | − | 1.48275i | 0.700626 | − | 0.0577161i | ||||
\(661\) | 3.10339 | + | 11.5820i | 0.120708 | + | 0.450488i | 0.999650 | − | 0.0264400i | \(-0.00841709\pi\) |
−0.878943 | + | 0.476927i | \(0.841750\pi\) | |||||||
\(662\) | −27.9997 | + | 6.79276i | −1.08824 | + | 0.264008i | ||||
\(663\) | 8.71871 | − | 11.3363i | 0.338606 | − | 0.440264i | ||||
\(664\) | 9.45870 | + | 3.27359i | 0.367069 | + | 0.127040i | ||||
\(665\) | − | 47.3876i | − | 1.83761i | ||||||
\(666\) | −29.5291 | − | 18.0891i | −1.14423 | − | 0.700940i | ||||
\(667\) | 1.46077 | − | 1.46077i | 0.0565613 | − | 0.0565613i | ||||
\(668\) | −38.4152 | + | 19.8047i | −1.48633 | + | 0.766267i | ||||
\(669\) | 5.02188 | + | 2.08669i | 0.194157 | + | 0.0806760i | ||||
\(670\) | 1.52395 | + | 0.928890i | 0.0588753 | + | 0.0358861i | ||||
\(671\) | −3.00893 | + | 5.21163i | −0.116159 | + | 0.201193i | ||||
\(672\) | 15.9007 | − | 9.41071i | 0.613381 | − | 0.363026i | ||||
\(673\) | 14.9076 | + | 25.8207i | 0.574645 | + | 0.995314i | 0.996080 | + | 0.0884554i | \(0.0281931\pi\) |
−0.421435 | + | 0.906858i | \(0.638474\pi\) | |||||||
\(674\) | −0.0346286 | + | 1.45491i | −0.00133385 | + | 0.0560409i | ||||
\(675\) | −53.8399 | − | 41.5994i | −2.07230 | − | 1.60116i | ||||
\(676\) | −0.690758 | + | 14.5027i | −0.0265676 | + | 0.557797i | ||||
\(677\) | 27.4303 | + | 7.34993i | 1.05423 | + | 0.282481i | 0.744000 | − | 0.668180i | \(-0.232926\pi\) |
0.310233 | + | 0.950661i | \(0.399593\pi\) | |||||||
\(678\) | −5.90757 | − | 8.10941i | −0.226879 | − | 0.311440i | ||||
\(679\) | 13.6318 | + | 7.87034i | 0.523142 | + | 0.302036i | ||||
\(680\) | 40.7131 | − | 7.84721i | 1.56128 | − | 0.300927i | ||||
\(681\) | 9.30909 | + | 22.5451i | 0.356725 | + | 0.863931i | ||||
\(682\) | −1.22903 | + | 4.18575i | −0.0470621 | + | 0.160281i | ||||
\(683\) | 34.9639 | − | 34.9639i | 1.33786 | − | 1.33786i | 0.439721 | − | 0.898134i | \(-0.355077\pi\) |
0.898134 | − | 0.439721i | \(-0.144923\pi\) | |||||||
\(684\) | −1.76520 | + | 35.4012i | −0.0674940 | + | 1.35360i | ||||
\(685\) | 46.6088 | + | 46.6088i | 1.78083 | + | 1.78083i | ||||
\(686\) | 13.3484 | + | 24.4456i | 0.509645 | + | 0.933338i | ||||
\(687\) | 26.0576 | + | 20.0408i | 0.994159 | + | 0.764606i | ||||
\(688\) | 2.03321 | + | 12.0901i | 0.0775153 | + | 0.460931i | ||||
\(689\) | −9.51288 | + | 16.4768i | −0.362412 | + | 0.627716i | ||||
\(690\) | 12.6231 | + | 10.1955i | 0.480554 | + | 0.388136i | ||||
\(691\) | −3.37585 | + | 12.5989i | −0.128424 | + | 0.479283i | −0.999939 | − | 0.0110856i | \(-0.996471\pi\) |
0.871515 | + | 0.490369i | \(0.163138\pi\) | |||||||
\(692\) | 26.0408 | + | 28.6455i | 0.989922 | + | 1.08894i | ||||
\(693\) | −0.0154473 | + | 6.93394i | −0.000586795 | + | 0.263399i | ||||
\(694\) | −30.4680 | − | 31.9538i | −1.15655 | − | 1.21295i | ||||
\(695\) | 27.1620 | − | 15.6820i | 1.03031 | − | 0.594851i | ||||
\(696\) | −6.16842 | + | 2.04548i | −0.233813 | + | 0.0775338i | ||||
\(697\) | −11.8290 | − | 6.82946i | −0.448054 | − | 0.258684i | ||||
\(698\) | −5.95574 | − | 24.5495i | −0.225428 | − | 0.929214i | ||||
\(699\) | 13.3507 | + | 17.4391i | 0.504969 | + | 0.659608i | ||||
\(700\) | 22.6297 | + | 43.8949i | 0.855324 | + | 1.65907i | ||||
\(701\) | −1.18582 | − | 1.18582i | −0.0447879 | − | 0.0447879i | 0.684358 | − | 0.729146i | \(-0.260083\pi\) |
−0.729146 | + | 0.684358i | \(0.760083\pi\) | |||||||
\(702\) | −16.0773 | − | 7.17655i | −0.606799 | − | 0.270861i | ||||
\(703\) | −48.2184 | −1.81859 | ||||||||
\(704\) | 9.01365 | + | 3.85967i | 0.339715 | + | 0.145467i | ||||
\(705\) | 0.447452 | − | 3.36973i | 0.0168520 | − | 0.126911i | ||||
\(706\) | −2.48341 | − | 1.51371i | −0.0934644 | − | 0.0569691i | ||||
\(707\) | −13.5924 | + | 3.64208i | −0.511196 | + | 0.136975i | ||||
\(708\) | −36.8889 | + | 13.2149i | −1.38637 | + | 0.496646i | ||||
\(709\) | 13.3909 | + | 3.58808i | 0.502906 | + | 0.134753i | 0.501349 | − | 0.865245i | \(-0.332837\pi\) |
0.00155784 | + | 0.999999i | \(0.499504\pi\) | |||||||
\(710\) | −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 | ||||
\(714\) | 1.68406 | + | 15.8294i | 0.0630243 | + | 0.592402i | ||||
\(715\) | 3.23299 | + | 12.0657i | 0.120907 | + | 0.451231i | ||||
\(716\) | −7.96391 | + | 1.73250i | −0.297625 | + | 0.0647464i | ||||
\(717\) | −1.65615 | − | 12.6889i | −0.0618502 | − | 0.473877i | ||||
\(718\) | −3.23008 | − | 5.91541i | −0.120546 | − | 0.220761i | ||||
\(719\) | 22.9314 | 0.855198 | 0.427599 | − | 0.903968i | \(-0.359359\pi\) | ||||
0.427599 | + | 0.903968i | \(0.359359\pi\) | |||||||
\(720\) | −21.1017 | − | 46.4785i | −0.786415 | − | 1.73215i | ||||
\(721\) | 26.6101 | 0.991013 | ||||||||
\(722\) | 10.7757 | + | 19.7341i | 0.401031 | + | 0.734428i | ||||
\(723\) | −35.8137 | − | 14.8813i | −1.33193 | − | 0.553441i | ||||
\(724\) | 5.71293 | + | 26.2611i | 0.212319 | + | 0.975986i | ||||
\(725\) | −4.49564 | − | 16.7780i | −0.166964 | − | 0.623118i | ||||
\(726\) | 18.8041 | − | 13.6985i | 0.697887 | − | 0.508400i | ||||
\(727\) | 14.6244 | − | 8.44338i | 0.542387 | − | 0.313147i | −0.203659 | − | 0.979042i | \(-0.565283\pi\) |
0.746046 | + | 0.665894i | \(0.231950\pi\) | |||||||
\(728\) | 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 | ||||
\(731\) | −10.2026 | − | 2.73379i | −0.377358 | − | 0.101113i | ||||
\(732\) | 16.7348 | + | 3.03844i | 0.618538 | + | 0.112304i | ||||
\(733\) | −39.1181 | + | 10.4817i | −1.44486 | + | 0.387149i | −0.894232 | − | 0.447603i | \(-0.852278\pi\) |
−0.550626 | + | 0.834752i | \(0.685611\pi\) | |||||||
\(734\) | 20.7949 | + | 12.6751i | 0.767554 | + | 0.467845i | ||||
\(735\) | 23.4523 | − | 9.68366i | 0.865051 | − | 0.357187i | ||||
\(736\) | 3.46798 | + | 8.09815i | 0.127831 | + | 0.298502i | ||||
\(737\) | −0.363629 | −0.0133945 | ||||||||
\(738\) | −4.77335 | + | 16.1238i | −0.175710 | + | 0.593524i | ||||
\(739\) | 20.2719 | + | 20.2719i | 0.745713 | + | 0.745713i | 0.973671 | − | 0.227958i | \(-0.0732050\pi\) |
−0.227958 | + | 0.973671i | \(0.573205\pi\) | |||||||
\(740\) | 61.7198 | − | 31.8192i | 2.26886 | − | 1.16970i | ||||
\(741\) | −24.3092 | + | 3.17282i | −0.893020 | + | 0.116557i | ||||
\(742\) | −4.99287 | − | 20.5806i | −0.183294 | − | 0.755538i | ||||
\(743\) | 33.3722 | + | 19.2674i | 1.22431 | + | 0.706853i | 0.965833 | − | 0.259165i | \(-0.0834474\pi\) |
0.258473 | + | 0.966019i | \(0.416781\pi\) | |||||||
\(744\) | 12.3087 | − | 0.719590i | 0.451259 | − | 0.0263815i | ||||
\(745\) | 28.4517 | − | 16.4266i | 1.04239 | − | 0.601824i | ||||
\(746\) | 16.2043 | + | 16.9944i | 0.593280 | + | 0.622210i | ||||
\(747\) | 9.18216 | + | 5.32863i | 0.335958 | + | 0.194964i | ||||
\(748\) | −6.25090 | + | 5.68251i | −0.228555 | + | 0.207773i | ||||
\(749\) | −2.65738 | + | 9.91749i | −0.0970987 | + | 0.362377i | ||||
\(750\) | 78.6949 | − | 30.3228i | 2.87353 | − | 1.10723i | ||||
\(751\) | −2.59701 | + | 4.49815i | −0.0947663 | + | 0.164140i | −0.909511 | − | 0.415680i | \(-0.863544\pi\) |
0.814745 | + | 0.579820i | \(0.196877\pi\) | |||||||
\(752\) | 1.07050 | − | 1.50334i | 0.0390369 | − | 0.0548212i | ||||
\(753\) | 2.42575 | − | 18.2681i | 0.0883991 | − | 0.665727i | ||||
\(754\) | −2.15414 | − | 3.94497i | −0.0784490 | − | 0.143667i | ||||
\(755\) | 11.6885 | + | 11.6885i | 0.425388 | + | 0.425388i | ||||
\(756\) | 18.4642 | − | 6.56813i | 0.671536 | − | 0.238881i | ||||
\(757\) | 16.3310 | − | 16.3310i | 0.593562 | − | 0.593562i | −0.345030 | − | 0.938592i | \(-0.612131\pi\) |
0.938592 | + | 0.345030i | \(0.112131\pi\) | |||||||
\(758\) | −12.7196 | + | 43.3194i | −0.461996 | + | 1.57343i | ||||
\(759\) | −3.27725 | − | 0.435172i | −0.118957 | − | 0.0157957i | ||||
\(760\) | −58.8613 | − | 39.8377i | −2.13512 | − | 1.44506i | ||||
\(761\) | −30.2706 | − | 17.4767i | −1.09731 | − | 0.633530i | −0.161794 | − | 0.986824i | \(-0.551728\pi\) |
−0.935512 | + | 0.353294i | \(0.885061\pi\) | |||||||
\(762\) | −4.86627 | + | 10.9673i | −0.176286 | + | 0.397302i | ||||
\(763\) | 5.37400 | + | 1.43996i | 0.194552 | + | 0.0521300i | ||||
\(764\) | 9.44599 | + | 0.449908i | 0.341744 | + | 0.0162771i | ||||
\(765\) | 43.9775 | + | 0.0979723i | 1.59001 | + | 0.00354220i | ||||
\(766\) | −0.849026 | + | 35.6715i | −0.0306766 | + | 1.28886i | ||||
\(767\) | −13.5508 | − | 23.4707i | −0.489292 | − | 0.847478i | ||||
\(768\) | 1.67805 | − | 27.6620i | 0.0605515 | − | 0.998165i | ||||
\(769\) | −11.5439 | + | 19.9946i | −0.416284 | + | 0.721024i | −0.995562 | − | 0.0941052i | \(-0.970001\pi\) |
0.579279 | + | 0.815130i | \(0.303334\pi\) | |||||||
\(770\) | −11.8725 | − | 7.23659i | −0.427854 | − | 0.260789i | ||||
\(771\) | 0.993788 | + | 7.61410i | 0.0357904 | + | 0.274215i | ||||
\(772\) | −17.8993 | − | 34.7193i | −0.644211 | − | 1.24958i | ||||
\(773\) | 14.4736 | − | 14.4736i | 0.520581 | − | 0.520581i | −0.397166 | − | 0.917747i | \(-0.630006\pi\) |
0.917747 | + | 0.397166i | \(0.130006\pi\) | |||||||
\(774\) | −0.338374 | + | 12.9991i | −0.0121626 | + | 0.467245i | ||||
\(775\) | 32.9549i | 1.18378i | ||||||||
\(776\) | 21.2359 | − | 10.3160i | 0.762325 | − | 0.370323i | ||||
\(777\) | 10.1749 | + | 24.6419i | 0.365021 | + | 0.884023i | ||||
\(778\) | 10.0960 | − | 2.44929i | 0.361958 | − | 0.0878113i | ||||
\(779\) | 6.06004 | + | 22.6164i | 0.217124 | + | 0.810316i | ||||
\(780\) | 29.0221 | − | 20.1028i | 1.03916 | − | 0.719796i | ||||
\(781\) | 4.43908 | − | 16.5669i | 0.158843 | − | 0.592809i | ||||
\(782\) | −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 | ||||
\(786\) | 6.99491 | − | 44.5299i | 0.249500 | − | 1.58833i | ||||
\(787\) | −33.2907 | + | 8.92022i | −1.18669 | + | 0.317971i | −0.797575 | − | 0.603220i | \(-0.793884\pi\) |
−0.389110 | + | 0.921191i | \(0.627218\pi\) | |||||||
\(788\) | −4.14837 | − | 19.0692i | −0.147780 | − | 0.679312i | ||||
\(789\) | −3.54511 | + | 8.53175i | −0.126209 | + | 0.303738i | ||||
\(790\) | −7.42544 | + | 25.2890i | −0.264185 | + | 0.899743i | ||||
\(791\) | 7.72411i | 0.274638i | ||||||||
\(792\) | 8.59984 | + | 5.84839i | 0.305582 | + | 0.207814i | ||||
\(793\) | 11.7637i | 0.417743i | ||||||||
\(794\) | −4.28387 | − | 1.25784i | −0.152029 | − | 0.0446392i | ||||
\(795\) | −58.0137 | + | 7.57191i | −2.05753 | + | 0.268548i | ||||
\(796\) | −41.1798 | − | 26.4643i | −1.45958 | − | 0.938002i | ||||
\(797\) | 19.0745 | − | 5.11099i | 0.675652 | − | 0.181040i | 0.0953525 | − | 0.995444i | \(-0.469602\pi\) |
0.580299 | + | 0.814403i | \(0.302936\pi\) | |||||||
\(798\) | 17.1460 | − | 21.2286i | 0.606962 | − | 0.751484i | ||||
\(799\) | 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 | ||||
\(803\) | −0.00885339 | + | 0.0330413i | −0.000312429 | + | 0.00116600i | ||||
\(804\) | 0.346601 | + | 0.967525i | 0.0122237 | + | 0.0341220i | ||||
\(805\) | −3.23318 | − | 12.0664i | −0.113955 | − | 0.425285i | ||||
\(806\) | 2.01052 | + | 8.28736i | 0.0708175 | + | 0.291910i | ||||
\(807\) | −50.1191 | − | 6.65511i | −1.76428 | − | 0.234271i | ||||
\(808\) | −6.90293 | + | 19.9453i | −0.242844 | + | 0.701673i | ||||
\(809\) | 2.32596i | 0.0817763i | 0.999164 | + | 0.0408882i | \(0.0130187\pi\) | ||||
−0.999164 | + | 0.0408882i | \(0.986981\pi\) | |||||||
\(810\) | −12.5298 | − | 52.6710i | −0.440252 | − | 1.85067i | ||||
\(811\) | 34.5092 | − | 34.5092i | 1.21178 | − | 1.21178i | 0.241343 | − | 0.970440i | \(-0.422412\pi\) |
0.970440 | − | 0.241343i | \(-0.0775878\pi\) | |||||||
\(812\) | 4.76560 | + | 1.52336i | 0.167240 | + | 0.0534595i | ||||
\(813\) | −31.9537 | + | 24.4624i | −1.12066 | + | 0.857934i | ||||
\(814\) | −7.36347 | + | 12.0806i | −0.258089 | + | 0.423425i | ||||
\(815\) | −31.8177 | + | 55.1098i | −1.11452 | + | 1.93041i | ||||
\(816\) | 21.0779 | + | 11.2156i | 0.737874 | + | 0.392626i | ||||
\(817\) | 9.05319 | + | 15.6806i | 0.316731 | + | 0.548594i | ||||
\(818\) | −37.0562 | − | 0.881984i | −1.29564 | − | 0.0308378i | ||||
\(819\) | 6.75109 | + | 11.7536i | 0.235902 | + | 0.410705i | ||||
\(820\) | −22.6814 | − | 24.9501i | −0.792069 | − | 0.871294i | ||||
\(821\) | −51.3558 | − | 13.7607i | −1.79233 | − | 0.480253i | −0.799590 | − | 0.600547i | \(-0.794950\pi\) |
−0.992738 | + | 0.120294i | \(0.961616\pi\) | |||||||
\(822\) | 4.01549 | + | 37.7439i | 0.140056 | + | 1.31647i | ||||
\(823\) | 8.35343 | + | 4.82286i | 0.291182 | + | 0.168114i | 0.638475 | − | 0.769643i | \(-0.279566\pi\) |
−0.347293 | + | 0.937757i | \(0.612899\pi\) | |||||||
\(824\) | 22.3705 | − | 33.0531i | 0.779314 | − | 1.15146i | ||||
\(825\) | −16.9465 | + | 22.0342i | −0.590000 | + | 0.767132i | ||||
\(826\) | 28.9449 | + | 8.49890i | 1.00712 | + | 0.295714i | ||||
\(827\) | −18.2747 | + | 18.2747i | −0.635475 | + | 0.635475i | −0.949436 | − | 0.313961i | \(-0.898344\pi\) |
0.313961 | + | 0.949436i | \(0.398344\pi\) | |||||||
\(828\) | 1.96589 | + | 9.13471i | 0.0683195 | + | 0.317453i | ||||
\(829\) | 6.63529 | + | 6.63529i | 0.230453 | + | 0.230453i | 0.812882 | − | 0.582429i | \(-0.197897\pi\) |
−0.582429 | + | 0.812882i | \(0.697897\pi\) | |||||||
\(830\) | −18.6840 | + | 10.2023i | −0.648532 | + | 0.354128i | ||||
\(831\) | −31.5063 | + | 13.0092i | −1.09294 | + | 0.451285i | ||||
\(832\) | 19.0317 | − | 2.27589i | 0.659807 | − | 0.0789022i | ||||
\(833\) | −5.93409 | + | 10.2782i | −0.205604 | + | 0.356117i | ||||
\(834\) | 17.8421 | + | 2.80270i | 0.617821 | + | 0.0970496i | ||||
\(835\) | 23.7912 | − | 88.7900i | 0.823329 | − | 3.07271i | ||||
\(836\) | 14.4648 | + | 0.688953i | 0.500276 | + | 0.0238279i | ||||
\(837\) | 12.9600 | + | 1.75029i | 0.447963 | + | 0.0604990i | ||||
\(838\) | 11.8891 | − | 11.3363i | 0.410704 | − | 0.391608i | ||||
\(839\) | −34.7829 | + | 20.0819i | −1.20084 | + | 0.693306i | −0.960742 | − | 0.277443i | \(-0.910513\pi\) |
−0.240099 | + | 0.970749i | \(0.577180\pi\) | |||||||
\(840\) | −7.93825 | + | 38.4873i | −0.273896 | + | 1.32794i | ||||
\(841\) | 23.5908 | + | 13.6201i | 0.813475 | + | 0.469660i | ||||
\(842\) | −13.8662 | + | 3.36394i | −0.477860 | + | 0.115929i | ||||
\(843\) | 12.5099 | − | 30.1066i | 0.430863 | − | 1.03693i | ||||
\(844\) | 13.3553 | − | 41.7799i | 0.459708 | − | 1.43812i | ||||
\(845\) | −21.8355 | − | 21.8355i | −0.751166 | − | 0.751166i | ||||
\(846\) | 1.41970 | − | 1.34766i | 0.0488102 | − | 0.0463336i | ||||
\(847\) | −17.9107 | −0.615419 | ||||||||
\(848\) | −29.7611 | − | 11.0999i | −1.02200 | − | 0.381171i | ||||
\(849\) | 18.2401 | + | 14.0284i | 0.625997 | + | 0.481453i | ||||
\(850\) | −33.2141 | + | 54.4915i | −1.13923 | + | 1.86904i | ||||
\(851\) | −12.2779 | + | 3.28987i | −0.420883 | + | 0.112775i | ||||
\(852\) | −48.3114 | + | 3.97979i | −1.65512 | + | 0.136345i | ||||
\(853\) | −2.70204 | − | 0.724010i | −0.0925162 | − | 0.0247896i | 0.212264 | − | 0.977212i | \(-0.431916\pi\) |
−0.304780 | + | 0.952423i | \(0.598583\pi\) | |||||||
\(854\) | −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 | \(-0.445466\pi\) |
0.938590 | + | 0.345033i | \(0.112132\pi\) | |||||||
\(858\) | −2.91736 | + | 6.57493i | −0.0995969 | + | 0.224465i | ||||
\(859\) | 12.4963 | + | 46.6369i | 0.426369 | + | 1.59123i | 0.760916 | + | 0.648850i | \(0.224750\pi\) |
−0.334547 | + | 0.942379i | \(0.608583\pi\) | |||||||
\(860\) | −21.9357 | − | 14.0970i | −0.748002 | − | 0.480705i | ||||
\(861\) | 10.2793 | − | 7.86939i | 0.350317 | − | 0.268188i | ||||
\(862\) | −5.06202 | + | 2.76409i | −0.172413 | + | 0.0941453i | ||||
\(863\) | −40.4745 | −1.37777 | −0.688883 | − | 0.724872i | \(-0.741899\pi\) | ||||
−0.688883 | + | 0.724872i | \(0.741899\pi\) | |||||||
\(864\) | 7.36398 | − | 28.4565i | 0.250528 | − | 0.968109i | ||||
\(865\) | −82.3366 | −2.79953 | ||||||||
\(866\) | −31.1958 | + | 17.0343i | −1.06008 | + | 0.578850i | ||||
\(867\) | 7.04647 | − | 5.39448i | 0.239311 | − | 0.183206i | ||||
\(868\) | −7.98542 | − | 5.13184i | −0.271043 | − | 0.174186i | ||||
\(869\) | −1.38986 | − | 5.18704i | −0.0471479 | − | 0.175958i | ||||
\(870\) | 5.60581 | − | 12.6340i | 0.190055 | − | 0.428333i | ||||
\(871\) | −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 | ||||
\(875\) | −62.7143 | − | 16.8042i | −2.12013 | − | 0.568087i | ||||
\(876\) | 0.0963532 | − | 0.00793737i | 0.00325547 | − | 0.000268179i | ||||
\(877\) | 31.1530 | − | 8.34743i | 1.05196 | − | 0.281873i | 0.308901 | − | 0.951094i | \(-0.400039\pi\) |
0.743063 | + | 0.669222i | \(0.233372\pi\) | |||||||
\(878\) | 11.4970 | − | 18.8621i | 0.388003 | − | 0.636564i | ||||
\(879\) | −11.7063 | − | 9.00330i | −0.394844 | − | 0.303674i | ||||
\(880\) | −18.9697 | + | 8.66344i | −0.639467 | + | 0.292045i | ||||
\(881\) | −44.0930 | −1.48553 | −0.742765 | − | 0.669552i | \(-0.766486\pi\) | ||||
−0.742765 | + | 0.669552i | \(0.766486\pi\) | |||||||
\(882\) | 14.0099 | + | 4.14755i | 0.471738 | + | 0.139655i | ||||
\(883\) | −28.6867 | − | 28.6867i | −0.965385 | − | 0.965385i | 0.0340356 | − | 0.999421i | \(-0.489164\pi\) |
−0.999421 | + | 0.0340356i | \(0.989164\pi\) | |||||||
\(884\) | −5.02810 | + | 15.7296i | −0.169113 | + | 0.529044i | ||||
\(885\) | 31.9785 | − | 76.9603i | 1.07494 | − | 2.58699i | ||||
\(886\) | 46.4852 | − | 11.2773i | 1.56170 | − | 0.378869i | ||||
\(887\) | −6.66474 | − | 3.84789i | −0.223780 | − | 0.129199i | 0.383919 | − | 0.923367i | \(-0.374574\pi\) |
−0.607699 | + | 0.794167i | \(0.707907\pi\) | |||||||
\(888\) | 39.1621 | + | 8.07743i | 1.31419 | + | 0.271061i | ||||
\(889\) | 7.99961 | − | 4.61858i | 0.268298 | − | 0.154902i | ||||
\(890\) | −20.6755 | + | 19.7142i | −0.693045 | + | 0.660822i | ||||
\(891\) | 7.76520 | + | 7.83471i | 0.260144 | + | 0.262473i | ||||
\(892\) | −6.27233 | − | 0.298748i | −0.210013 | − | 0.0100028i | ||||
\(893\) | 0.705446 | − | 2.63276i | 0.0236069 | − | 0.0881020i | ||||
\(894\) | 18.6893 | + | 2.93578i | 0.625063 | + | 0.0981871i | ||||
\(895\) | 8.66712 | − | 15.0119i | 0.289710 | − | 0.501792i | ||||
\(896\) | −13.5835 | + | 16.4523i | −0.453794 | + | 0.549632i | ||||
\(897\) | −5.97342 | + | 2.46648i | −0.199447 | + | 0.0823533i | ||||
\(898\) | −34.7895 | + | 18.9966i | −1.16094 | + | 0.633926i | ||||
\(899\) | 2.36078 | + | 2.36078i | 0.0787364 | + | 0.0787364i | ||||
\(900\) | 74.7803 | + | 24.0879i | 2.49268 | + | 0.802930i | ||||
\(901\) | 19.3508 | − | 19.3508i | 0.644667 | − | 0.644667i | ||||
\(902\) | 6.59173 | + | 1.93548i | 0.219481 | + | 0.0644446i | ||||
\(903\) | 6.10316 | − | 7.93547i | 0.203100 | − | 0.264076i | ||||
\(904\) | 9.59430 | + | 6.49348i | 0.319102 | + | 0.215970i | ||||
\(905\) | −49.5019 | − | 28.5799i | −1.64550 | − | 0.950029i | ||||
\(906\) | 1.00700 | + | 9.46537i | 0.0334553 | + | 0.314466i | ||||
\(907\) | −30.2432 | − | 8.10365i | −1.00421 | − | 0.269077i | −0.281002 | − | 0.959707i | \(-0.590667\pi\) |
−0.723208 | + | 0.690630i | \(0.757333\pi\) | |||||||
\(908\) | −18.9455 | − | 20.8405i | −0.628728 | − | 0.691615i | ||||
\(909\) | −11.2363 | + | 19.3622i | −0.372686 | + | 0.642203i | ||||
\(910\) | −27.1721 | − | 0.646730i | −0.900745 | − | 0.0214389i | ||||
\(911\) | 11.1615 | + | 19.3322i | 0.369796 | + | 0.640506i | 0.989533 | − | 0.144304i | \(-0.0460942\pi\) |
−0.619737 | + | 0.784809i | \(0.712761\pi\) | |||||||
\(912\) | −11.9543 | − | 39.1439i | −0.395847 | − | 1.29618i | ||||
\(913\) | 2.16866 | − | 3.75623i | 0.0717722 | − | 0.124313i | ||||
\(914\) | 12.6096 | − | 20.6875i | 0.417089 | − | 0.684282i | ||||
\(915\) | −28.7236 | + | 21.9896i | −0.949574 | + | 0.726955i | ||||
\(916\) | −36.1561 | − | 11.5576i | −1.19463 | − | 0.381874i | ||||
\(917\) | −24.5383 | + | 24.5383i | −0.810327 | + | 0.810327i | ||||
\(918\) | 19.6655 | + | 15.9560i | 0.649058 | + | 0.526628i | ||||
\(919\) | − | 51.8070i | − | 1.70895i | −0.519489 | − | 0.854477i | \(-0.673877\pi\) | ||
0.519489 | − | 0.854477i | \(-0.326123\pi\) | |||||||
\(920\) | −17.7060 | − | 6.12793i | −0.583750 | − | 0.202032i | ||||
\(921\) | 17.3264 | + | 2.30071i | 0.570926 | + | 0.0758109i | ||||
\(922\) | −3.13976 | − | 12.9421i | −0.103403 | − | 0.426225i | ||||
\(923\) | −8.67752 | − | 32.3849i | −0.285624 | − | 1.06596i | ||||
\(924\) | −2.70022 | − | 7.53759i | −0.0888308 | − | 0.247968i | ||||
\(925\) | −27.6615 | + | 103.234i | −0.909505 | + | 3.39432i | ||||
\(926\) | −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 | 0.541897 | − | 0.840445i | \(-0.317706\pi\) |
−0.998795 | + | 0.0490736i | \(0.984373\pi\) | |||||||
\(930\) | −16.4771 | + | 20.4004i | −0.540306 | + | 0.668956i | ||||
\(931\) | 19.6513 | − | 5.26555i | 0.644046 | − | 0.172571i | ||||
\(932\) | −21.3346 | − | 13.7107i | −0.698839 | − | 0.449110i | ||||
\(933\) | −19.9788 | + | 2.60762i | −0.654077 | + | 0.0853698i | ||||
\(934\) | 18.8293 | + | 5.52872i | 0.616114 | + | 0.180905i | ||||
\(935\) | − | 17.9671i | − | 0.587589i | ||||||
\(936\) | 20.2750 | + | 1.49531i | 0.662708 | + | 0.0488757i | ||||
\(937\) | 35.0104i | 1.14374i | 0.820344 | + | 0.571870i | \(0.193782\pi\) | ||||
−0.820344 | + | 0.571870i | \(0.806218\pi\) | |||||||
\(938\) | 0.222910 | − | 0.759169i | 0.00727825 | − | 0.0247877i | ||||
\(939\) | −4.42770 | + | 10.6558i | −0.144493 | + | 0.347740i | ||||
\(940\) | 0.834381 | + | 3.83547i | 0.0272145 | + | 0.125099i | ||||
\(941\) | 25.0151 | − | 6.70277i | 0.815468 | − | 0.218504i | 0.173104 | − | 0.984904i | \(-0.444620\pi\) |
0.642364 | + | 0.766400i | \(0.277954\pi\) | |||||||
\(942\) | −2.45303 | + | 15.6161i | −0.0799239 | + | 0.508799i | ||||
\(943\) | 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 | ||||
\(947\) | 5.18039 | − | 19.3335i | 0.168340 | − | 0.628254i | −0.829250 | − | 0.558877i | \(-0.811232\pi\) |
0.997591 | − | 0.0693768i | \(-0.0221011\pi\) | |||||||
\(948\) | −12.4766 | + | 8.64221i | −0.405222 | + | 0.280686i | ||||
\(949\) | 0.0173066 | + | 0.0645892i | 0.000561797 | + | 0.00209665i | ||||
\(950\) | 106.310 | − | 25.7910i | 3.44916 | − | 0.836770i | ||||
\(951\) | 1.80978 | + | 4.38299i | 0.0586861 | + | 0.142128i | ||||
\(952\) | −8.03182 | − | 16.5338i | −0.260313 | − | 0.535864i | ||||
\(953\) | 6.37793i | 0.206601i | 0.994650 | + | 0.103301i | \(0.0329404\pi\) | ||||
−0.994650 | + | 0.103301i | \(0.967060\pi\) | |||||||
\(954\) | −28.7285 | − | 17.5987i | −0.930121 | − | 0.569780i | ||||
\(955\) | −14.2220 | + | 14.2220i | −0.460215 | + | 0.460215i | ||||
\(956\) | 6.77093 | + | 13.1336i | 0.218988 | + | 0.424770i | ||||
\(957\) | 0.364468 | + | 2.79244i | 0.0117816 | + | 0.0902668i | ||||
\(958\) | −28.2645 | − | 17.2280i | −0.913183 | − | 0.556610i | ||||
\(959\) | 14.6109 | − | 25.3068i | 0.471810 | − | 0.817199i | ||||
\(960\) | 41.1325 | + | 42.2157i | 1.32755 | + | 1.36251i | ||||
\(961\) | 12.3329 | + | 21.3612i | 0.397835 | + | 0.689070i | ||||
\(962\) | −0.658068 | + | 27.6484i | −0.0212170 | + | 0.891421i | ||||
\(963\) | 8.13538 | + | 14.1637i | 0.262159 | + | 0.456418i | ||||
\(964\) | 44.7314 | + | 2.13053i | 1.44070 | + | 0.0686199i | ||||
\(965\) | 80.2477 | + | 21.5023i | 2.58326 | + | 0.692183i | ||||
\(966\) | 2.91753 | − | 6.57532i | 0.0938699 | − | 0.211558i | ||||
\(967\) | 32.7206 | + | 18.8912i | 1.05222 | + | 0.607501i | 0.923271 | − | 0.384149i | \(-0.125505\pi\) |
0.128952 | + | 0.991651i | \(0.458839\pi\) | |||||||
\(968\) | −15.0571 | + | 22.2473i | −0.483954 | + | 0.715056i | ||||
\(969\) | 34.9554 | + | 4.64158i | 1.12293 | + | 0.149109i | ||||
\(970\) | −14.1464 | + | 48.1789i | −0.454215 | + | 1.54693i | ||||
\(971\) | 39.2528 | − | 39.2528i | 1.25968 | − | 1.25968i | 0.308436 | − | 0.951245i | \(-0.400194\pi\) |
0.951245 | − | 0.308436i | \(-0.0998057\pi\) | |||||||
\(972\) | 13.4446 | − | 28.1290i | 0.431236 | − | 0.902239i | ||||
\(973\) | −9.83195 | − | 9.83195i | −0.315198 | − | 0.315198i | ||||
\(974\) | −14.2535 | − | 26.1031i | −0.456711 | − | 0.836398i | ||||
\(975\) | −7.15256 | + | 53.8654i | −0.229065 | + | 1.72507i | ||||
\(976\) | −19.3677 | + | 3.25709i | −0.619945 | + | 0.104257i | ||||
\(977\) | −13.9657 | + | 24.1893i | −0.446803 | + | 0.773885i | −0.998176 | − | 0.0603737i | \(-0.980771\pi\) |
0.551373 | + | 0.834259i | \(0.314104\pi\) | |||||||
\(978\) | −34.1937 | + | 13.1756i | −1.09339 | + | 0.421308i | ||||
\(979\) | 1.50647 | − | 5.62224i | 0.0481471 | − | 0.179687i | ||||
\(980\) | −21.6790 | + | 19.7078i | −0.692511 | + | 0.629542i | ||||
\(981\) | 7.67488 | − | 4.40833i | 0.245040 | − | 0.140747i | ||||
\(982\) | −25.7240 | − | 26.9784i | −0.820887 | − | 0.860916i | ||||
\(983\) | −31.3818 | + | 18.1183i | −1.00092 | + | 0.577883i | −0.908521 | − | 0.417839i | \(-0.862788\pi\) |
−0.0924017 | + | 0.995722i | \(0.529454\pi\) | |||||||
\(984\) | −1.13321 | − | 19.3838i | −0.0361255 | − | 0.617932i | ||||
\(985\) | 35.9452 | + | 20.7530i | 1.14531 | + | 0.661245i | ||||
\(986\) | 1.52424 | + | 6.28293i | 0.0485418 | + | 0.200089i | ||||
\(987\) | −1.49433 | + | 0.195039i | −0.0475650 | + | 0.00620815i | ||||
\(988\) | 25.1610 | − | 12.9716i | 0.800478 | − | 0.412681i | ||||
\(989\) | 3.37509 | + | 3.37509i | 0.107322 | + | 0.107322i | ||||
\(990\) | −21.5074 | + | 5.16700i | −0.683550 | + | 0.164218i | ||||
\(991\) | 52.0673 | 1.65397 | 0.826985 | − | 0.562223i | \(-0.190054\pi\) | ||||
0.826985 | + | 0.562223i | \(0.190054\pi\) | |||||||
\(992\) | −13.0875 | + | 5.60466i | −0.415530 | + | 0.177948i | ||||
\(993\) | 32.6162 | − | 13.4675i | 1.03504 | − | 0.427379i | ||||
\(994\) | 31.8663 | + | 19.4234i | 1.01074 | + | 0.616073i | ||||
\(995\) | 100.563 | − | 26.9457i | 3.18805 | − | 0.854236i | ||||
\(996\) | −12.0615 | − | 2.18993i | −0.382183 | − | 0.0693905i | ||||
\(997\) | −52.9980 | − | 14.2008i | −1.67846 | − | 0.449743i | −0.711091 | − | 0.703100i | \(-0.751798\pi\) |
−0.967373 | + | 0.253357i | \(0.918465\pi\) | |||||||
\(998\) | 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.13.15 | ✓ | 72 | |
3.2 | odd | 2 | 432.2.y.e.253.4 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.337.16 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.397.15 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.61.4 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.145.1 | 72 | |||
16.5 | even | 4 | inner | 144.2.x.e.85.4 | yes | 72 | |
16.11 | odd | 4 | 576.2.bb.e.49.6 | 72 | |||
36.7 | odd | 6 | 576.2.bb.e.529.6 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.721.18 | 72 | |||
48.5 | odd | 4 | 432.2.y.e.37.15 | 72 | |||
48.11 | even | 4 | 1728.2.bc.e.1009.18 | 72 | |||
144.11 | even | 12 | 1728.2.bc.e.1585.1 | 72 | |||
144.43 | odd | 12 | 576.2.bb.e.241.16 | 72 | |||
144.101 | odd | 12 | 432.2.y.e.181.4 | 72 | |||
144.133 | even | 12 | inner | 144.2.x.e.133.15 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.15 | ✓ | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.61.4 | yes | 72 | 9.7 | even | 3 | inner | |
144.2.x.e.85.4 | yes | 72 | 16.5 | even | 4 | inner | |
144.2.x.e.133.15 | yes | 72 | 144.133 | even | 12 | inner | |
432.2.y.e.37.15 | 72 | 48.5 | odd | 4 | |||
432.2.y.e.181.4 | 72 | 144.101 | odd | 12 | |||
432.2.y.e.253.4 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.397.15 | 72 | 9.2 | odd | 6 | |||
576.2.bb.e.49.6 | 72 | 16.11 | odd | 4 | |||
576.2.bb.e.241.16 | 72 | 144.43 | odd | 12 | |||
576.2.bb.e.337.16 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.529.6 | 72 | 36.7 | odd | 6 | |||
1728.2.bc.e.145.1 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.721.18 | 72 | 36.11 | even | 6 | |||
1728.2.bc.e.1009.18 | 72 | 48.11 | even | 4 | |||
1728.2.bc.e.1585.1 | 72 | 144.11 | even | 12 |