Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(2,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([30, 3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bs (of order \(60\), degree \(16\), 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: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(1216\) |
Relative dimension: | \(76\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 2.3 | ||
Character | \(\chi\) | \(=\) | 525.2 |
Dual form | 525.2.bs.a.263.3 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{1}{20}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.02843 | − | 1.64259i | −1.43432 | − | 1.16149i | −0.959607 | − | 0.281346i | \(-0.909219\pi\) |
−0.474711 | − | 0.880142i | \(-0.657447\pi\) | |||||||
\(3\) | −1.68808 | − | 0.387799i | −0.974613 | − | 0.223896i | ||||
\(4\) | 1.00060 | + | 4.70747i | 0.500302 | + | 2.35374i | ||||
\(5\) | 2.22126 | − | 0.256881i | 0.993379 | − | 0.114881i | ||||
\(6\) | 2.78716 | + | 3.55945i | 1.13785 | + | 1.45314i | ||||
\(7\) | 2.15806 | − | 1.53061i | 0.815671 | − | 0.578516i | ||||
\(8\) | 3.33287 | − | 6.54113i | 1.17835 | − | 2.31264i | ||||
\(9\) | 2.69922 | + | 1.30927i | 0.899742 | + | 0.436423i | ||||
\(10\) | −4.92763 | − | 3.12756i | −1.55825 | − | 0.989022i | ||||
\(11\) | −1.60977 | + | 3.61559i | −0.485363 | + | 1.09014i | 0.490437 | + | 0.871477i | \(0.336837\pi\) |
−0.975800 | + | 0.218666i | \(0.929830\pi\) | |||||||
\(12\) | 0.136451 | − | 8.33462i | 0.0393901 | − | 2.40600i | ||||
\(13\) | −0.929070 | + | 0.147150i | −0.257678 | + | 0.0408121i | −0.283937 | − | 0.958843i | \(-0.591641\pi\) |
0.0262590 | + | 0.999655i | \(0.491641\pi\) | |||||||
\(14\) | −6.89165 | − | 0.440080i | −1.84187 | − | 0.117616i | ||||
\(15\) | −3.84929 | − | 0.427768i | −0.993882 | − | 0.110449i | ||||
\(16\) | −8.71177 | + | 3.87873i | −2.17794 | + | 0.969682i | ||||
\(17\) | 0.277086 | + | 5.28711i | 0.0672032 | + | 1.28231i | 0.799225 | + | 0.601032i | \(0.205243\pi\) |
−0.732022 | + | 0.681281i | \(0.761423\pi\) | |||||||
\(18\) | −3.32460 | − | 7.08949i | −0.783615 | − | 1.67101i | ||||
\(19\) | −0.884917 | + | 4.16321i | −0.203014 | + | 0.955105i | 0.752142 | + | 0.659001i | \(0.229021\pi\) |
−0.955156 | + | 0.296104i | \(0.904313\pi\) | |||||||
\(20\) | 3.43186 | + | 10.1995i | 0.767388 | + | 2.28068i | ||||
\(21\) | −4.23655 | + | 1.74690i | −0.924491 | + | 0.381204i | ||||
\(22\) | 9.20424 | − | 4.68979i | 1.96235 | − | 0.999868i | ||||
\(23\) | −5.01083 | + | 6.18786i | −1.04483 | + | 1.29026i | −0.0890963 | + | 0.996023i | \(0.528398\pi\) |
−0.955733 | + | 0.294234i | \(0.904935\pi\) | |||||||
\(24\) | −8.16279 | + | 9.74946i | −1.66622 | + | 1.99010i | ||||
\(25\) | 4.86802 | − | 1.14120i | 0.973605 | − | 0.228240i | ||||
\(26\) | 2.12626 | + | 1.22760i | 0.416994 | + | 0.240752i | ||||
\(27\) | −4.04877 | − | 3.25691i | −0.779187 | − | 0.626792i | ||||
\(28\) | 9.36466 | + | 8.62749i | 1.76976 | + | 1.63044i | ||||
\(29\) | 1.37710 | − | 4.23829i | 0.255722 | − | 0.787031i | −0.737965 | − | 0.674839i | \(-0.764213\pi\) |
0.993687 | − | 0.112192i | \(-0.0357870\pi\) | |||||||
\(30\) | 7.10537 | + | 7.19050i | 1.29726 | + | 1.31280i | ||||
\(31\) | −4.25643 | + | 4.72724i | −0.764477 | + | 0.849038i | −0.992196 | − | 0.124689i | \(-0.960207\pi\) |
0.227719 | + | 0.973727i | \(0.426873\pi\) | |||||||
\(32\) | 9.86013 | + | 2.64201i | 1.74304 | + | 0.467046i | ||||
\(33\) | 4.11953 | − | 5.47914i | 0.717119 | − | 0.953796i | ||||
\(34\) | 8.12251 | − | 11.1797i | 1.39300 | − | 1.91730i | ||||
\(35\) | 4.40044 | − | 3.95425i | 0.743811 | − | 0.668390i | ||||
\(36\) | −3.46249 | + | 14.0166i | −0.577082 | + | 2.33610i | ||||
\(37\) | 0.319026 | + | 0.122463i | 0.0524476 | + | 0.0201327i | 0.384450 | − | 0.923146i | \(-0.374391\pi\) |
−0.332003 | + | 0.943278i | \(0.607724\pi\) | |||||||
\(38\) | 8.63344 | − | 6.99122i | 1.40053 | − | 1.13413i | ||||
\(39\) | 1.62541 | + | 0.111891i | 0.260274 | + | 0.0179168i | ||||
\(40\) | 5.72290 | − | 15.3857i | 0.904869 | − | 2.43270i | ||||
\(41\) | −3.61589 | + | 4.97685i | −0.564707 | + | 0.777253i | −0.991915 | − | 0.126900i | \(-0.959497\pi\) |
0.427208 | + | 0.904153i | \(0.359497\pi\) | |||||||
\(42\) | 11.4630 | + | 3.41546i | 1.76878 | + | 0.527017i | ||||
\(43\) | −5.96034 | + | 5.96034i | −0.908944 | + | 0.908944i | −0.996187 | − | 0.0872430i | \(-0.972194\pi\) |
0.0872430 | + | 0.996187i | \(0.472194\pi\) | |||||||
\(44\) | −18.6310 | − | 3.96015i | −2.80873 | − | 0.597015i | ||||
\(45\) | 6.33202 | + | 2.21485i | 0.943921 | + | 0.330171i | ||||
\(46\) | 20.3282 | − | 4.32090i | 2.99723 | − | 0.637082i | ||||
\(47\) | 5.76838 | + | 0.302308i | 0.841405 | + | 0.0440962i | 0.468168 | − | 0.883640i | \(-0.344914\pi\) |
0.373238 | + | 0.927736i | \(0.378248\pi\) | |||||||
\(48\) | 16.2103 | − | 3.16919i | 2.33976 | − | 0.457433i | ||||
\(49\) | 2.31447 | − | 6.60630i | 0.330639 | − | 0.943757i | ||||
\(50\) | −11.7490 | − | 5.68133i | −1.66156 | − | 0.803461i | ||||
\(51\) | 1.58259 | − | 9.03252i | 0.221607 | − | 1.26481i | ||||
\(52\) | −1.62234 | − | 4.22633i | −0.224978 | − | 0.586087i | ||||
\(53\) | −4.47662 | − | 2.90715i | −0.614911 | − | 0.399328i | 0.199265 | − | 0.979946i | \(-0.436145\pi\) |
−0.814176 | + | 0.580618i | \(0.802811\pi\) | |||||||
\(54\) | 2.86289 | + | 13.2569i | 0.389590 | + | 1.80403i | ||||
\(55\) | −2.64694 | + | 8.44470i | −0.356913 | + | 1.13868i | ||||
\(56\) | −2.81936 | − | 19.2175i | −0.376753 | − | 2.56804i | ||||
\(57\) | 3.10829 | − | 6.68465i | 0.411704 | − | 0.885404i | ||||
\(58\) | −9.75514 | + | 6.33506i | −1.28091 | + | 0.831834i | ||||
\(59\) | −0.361560 | + | 3.44001i | −0.0470711 | + | 0.447851i | 0.945449 | + | 0.325770i | \(0.105624\pi\) |
−0.992520 | + | 0.122081i | \(0.961043\pi\) | |||||||
\(60\) | −1.83791 | − | 18.5484i | −0.237273 | − | 2.39459i | ||||
\(61\) | −0.0881103 | − | 0.838314i | −0.0112814 | − | 0.107335i | 0.987432 | − | 0.158044i | \(-0.0505187\pi\) |
−0.998713 | + | 0.0507086i | \(0.983852\pi\) | |||||||
\(62\) | 16.3988 | − | 2.59732i | 2.08265 | − | 0.329859i | ||||
\(63\) | 7.82908 | − | 1.30597i | 0.986371 | − | 0.164537i | ||||
\(64\) | −4.45034 | − | 6.12537i | −0.556293 | − | 0.765672i | ||||
\(65\) | −2.02591 | + | 0.565520i | −0.251283 | + | 0.0701441i | ||||
\(66\) | −17.3562 | + | 4.34736i | −2.13640 | + | 0.535122i | ||||
\(67\) | 5.24519 | − | 0.274889i | 0.640803 | − | 0.0335830i | 0.270832 | − | 0.962627i | \(-0.412701\pi\) |
0.369970 | + | 0.929044i | \(0.379368\pi\) | |||||||
\(68\) | −24.6117 | + | 6.59468i | −2.98460 | + | 0.799722i | ||||
\(69\) | 10.8583 | − | 8.50240i | 1.30719 | − | 1.02357i | ||||
\(70\) | −15.4212 | + | 0.792797i | −1.84319 | + | 0.0947573i | ||||
\(71\) | 13.6430 | + | 4.43287i | 1.61912 | + | 0.526085i | 0.971735 | − | 0.236076i | \(-0.0758616\pi\) |
0.647388 | + | 0.762161i | \(0.275862\pi\) | |||||||
\(72\) | 17.5603 | − | 13.2923i | 2.06950 | − | 1.56652i | ||||
\(73\) | 7.56020 | − | 2.90209i | 0.884855 | − | 0.339664i | 0.126857 | − | 0.991921i | \(-0.459511\pi\) |
0.757998 | + | 0.652257i | \(0.226178\pi\) | |||||||
\(74\) | −0.445967 | − | 0.772437i | −0.0518426 | − | 0.0897940i | ||||
\(75\) | −8.66017 | + | 0.0386230i | −0.999990 | + | 0.00445980i | ||||
\(76\) | −20.4836 | −2.34963 | ||||||||
\(77\) | 2.06008 | + | 10.2666i | 0.234768 | + | 1.16999i | ||||
\(78\) | −3.11324 | − | 2.89684i | −0.352505 | − | 0.328003i | ||||
\(79\) | 6.71012 | − | 6.04182i | 0.754948 | − | 0.679758i | −0.198910 | − | 0.980018i | \(-0.563740\pi\) |
0.953857 | + | 0.300260i | \(0.0970734\pi\) | |||||||
\(80\) | −18.3548 | + | 10.8536i | −2.05212 | + | 1.21347i | ||||
\(81\) | 5.57163 | + | 7.06802i | 0.619070 | + | 0.785336i | ||||
\(82\) | 15.5095 | − | 4.15576i | 1.71274 | − | 0.458927i | ||||
\(83\) | 0.643984 | − | 1.26389i | 0.0706864 | − | 0.138730i | −0.852959 | − | 0.521978i | \(-0.825194\pi\) |
0.923646 | + | 0.383248i | \(0.125194\pi\) | |||||||
\(84\) | −12.4626 | − | 18.1955i | −1.35978 | − | 1.98529i | ||||
\(85\) | 1.97364 | + | 11.6729i | 0.214071 | + | 1.26610i | ||||
\(86\) | 21.8806 | − | 2.29974i | 2.35944 | − | 0.247987i | ||||
\(87\) | −3.96826 | + | 6.62053i | −0.425443 | + | 0.709796i | ||||
\(88\) | 18.2849 | + | 22.5800i | 1.94918 | + | 2.40703i | ||||
\(89\) | 0.360751 | + | 3.43232i | 0.0382395 | + | 0.363825i | 0.996863 | + | 0.0791475i | \(0.0252198\pi\) |
−0.958623 | + | 0.284677i | \(0.908114\pi\) | |||||||
\(90\) | −9.20596 | − | 14.8936i | −0.970393 | − | 1.56992i | ||||
\(91\) | −1.77976 | + | 1.73960i | −0.186570 | + | 0.182360i | ||||
\(92\) | −34.1430 | − | 17.3967i | −3.55965 | − | 1.81373i | ||||
\(93\) | 9.01841 | − | 6.32933i | 0.935165 | − | 0.656321i | ||||
\(94\) | −11.2042 | − | 10.0883i | −1.15563 | − | 1.04053i | ||||
\(95\) | −0.896186 | + | 9.47489i | −0.0919467 | + | 0.972104i | ||||
\(96\) | −15.6201 | − | 8.28367i | −1.59422 | − | 0.845448i | ||||
\(97\) | −11.1630 | + | 5.68783i | −1.13343 | + | 0.577511i | −0.917040 | − | 0.398796i | \(-0.869428\pi\) |
−0.216390 | + | 0.976307i | \(0.569428\pi\) | |||||||
\(98\) | −15.5462 | + | 9.59870i | −1.57040 | + | 0.969615i | ||||
\(99\) | −9.07890 | + | 7.65168i | −0.912464 | + | 0.769023i | ||||
\(100\) | 10.2431 | + | 21.7742i | 1.02431 | + | 2.17742i | ||||
\(101\) | 1.24088 | − | 0.716425i | 0.123473 | − | 0.0712870i | −0.436992 | − | 0.899466i | \(-0.643956\pi\) |
0.560464 | + | 0.828179i | \(0.310623\pi\) | |||||||
\(102\) | −18.0469 | + | 15.7223i | −1.78691 | + | 1.55674i | ||||
\(103\) | −2.92383 | − | 0.153231i | −0.288094 | − | 0.0150983i | −0.0922582 | − | 0.995735i | \(-0.529409\pi\) |
−0.195835 | + | 0.980637i | \(0.562742\pi\) | |||||||
\(104\) | −2.13394 | + | 6.56760i | −0.209250 | + | 0.644006i | ||||
\(105\) | −8.96175 | + | 4.96860i | −0.874577 | + | 0.484886i | ||||
\(106\) | 4.30526 | + | 13.2502i | 0.418164 | + | 1.28698i | ||||
\(107\) | −1.99280 | − | 7.43722i | −0.192651 | − | 0.718984i | −0.992862 | − | 0.119265i | \(-0.961946\pi\) |
0.800211 | − | 0.599718i | \(-0.204721\pi\) | |||||||
\(108\) | 11.2806 | − | 22.3184i | 1.08547 | − | 2.14758i | ||||
\(109\) | 3.44259 | + | 0.361830i | 0.329740 | + | 0.0346571i | 0.267952 | − | 0.963432i | \(-0.413653\pi\) |
0.0617879 | + | 0.998089i | \(0.480320\pi\) | |||||||
\(110\) | 19.2403 | − | 12.7817i | 1.83449 | − | 1.21868i | ||||
\(111\) | −0.491051 | − | 0.330445i | −0.0466085 | − | 0.0313644i | ||||
\(112\) | −12.8637 | + | 21.7049i | −1.21551 | + | 2.05092i | ||||
\(113\) | 0.597225 | + | 3.77073i | 0.0561822 | + | 0.354720i | 0.999725 | + | 0.0234686i | \(0.00747097\pi\) |
−0.943542 | + | 0.331252i | \(0.892529\pi\) | |||||||
\(114\) | −17.2851 | + | 8.45370i | −1.61890 | + | 0.791761i | ||||
\(115\) | −9.54083 | + | 15.0320i | −0.889687 | + | 1.40175i | ||||
\(116\) | 21.3296 | + | 2.24183i | 1.98040 | + | 0.208148i | ||||
\(117\) | −2.70043 | − | 0.819212i | −0.249655 | − | 0.0757361i | ||||
\(118\) | 6.38393 | − | 6.38393i | 0.587689 | − | 0.587689i | ||||
\(119\) | 8.69047 | + | 10.9858i | 0.796654 | + | 1.00707i | ||||
\(120\) | −15.6273 | + | 23.7530i | −1.42657 | + | 2.16834i | ||||
\(121\) | −3.12073 | − | 3.46592i | −0.283703 | − | 0.315084i | ||||
\(122\) | −1.19828 | + | 1.84519i | −0.108487 | + | 0.167056i | ||||
\(123\) | 8.03393 | − | 6.99908i | 0.724395 | − | 0.631086i | ||||
\(124\) | −26.5124 | − | 15.3069i | −2.38088 | − | 1.37460i | ||||
\(125\) | 10.5200 | − | 3.78541i | 0.940939 | − | 0.338577i | ||||
\(126\) | −18.0259 | − | 10.2109i | −1.60588 | − | 0.909659i | ||||
\(127\) | −5.20062 | − | 0.823697i | −0.461480 | − | 0.0730913i | −0.0786343 | − | 0.996904i | \(-0.525056\pi\) |
−0.382846 | + | 0.923812i | \(0.625056\pi\) | |||||||
\(128\) | 0.0342186 | − | 0.652930i | 0.00302453 | − | 0.0577114i | ||||
\(129\) | 12.3729 | − | 7.75012i | 1.08938 | − | 0.682360i | ||||
\(130\) | 5.03834 | + | 2.18062i | 0.441891 | + | 0.191253i | ||||
\(131\) | −2.64329 | + | 12.4357i | −0.230946 | + | 1.08651i | 0.697943 | + | 0.716154i | \(0.254099\pi\) |
−0.928888 | + | 0.370360i | \(0.879234\pi\) | |||||||
\(132\) | 29.9149 | + | 13.9101i | 2.60376 | + | 1.21072i | ||||
\(133\) | 4.46253 | + | 10.3389i | 0.386951 | + | 0.896498i | ||||
\(134\) | −11.0910 | − | 8.05812i | −0.958121 | − | 0.696115i | ||||
\(135\) | −9.83003 | − | 6.19440i | −0.846034 | − | 0.533129i | ||||
\(136\) | 35.5072 | + | 15.8088i | 3.04471 | + | 1.35559i | ||||
\(137\) | 2.79165 | + | 3.44740i | 0.238507 | + | 0.294531i | 0.882319 | − | 0.470653i | \(-0.155981\pi\) |
−0.643812 | + | 0.765184i | \(0.722648\pi\) | |||||||
\(138\) | −35.9913 | − | 0.589237i | −3.06378 | − | 0.0501592i | ||||
\(139\) | −7.30838 | − | 10.0591i | −0.619889 | − | 0.853203i | 0.377456 | − | 0.926027i | \(-0.376799\pi\) |
−0.997345 | + | 0.0728240i | \(0.976799\pi\) | |||||||
\(140\) | 23.0176 | + | 16.7583i | 1.94534 | + | 1.41634i | ||||
\(141\) | −9.62026 | − | 2.74729i | −0.810172 | − | 0.231364i | ||||
\(142\) | −20.3924 | − | 31.4016i | −1.71129 | − | 2.63516i | ||||
\(143\) | 0.963550 | − | 3.59602i | 0.0805761 | − | 0.300714i | ||||
\(144\) | −28.5933 | − | 0.936490i | −2.38278 | − | 0.0780408i | ||||
\(145\) | 1.97018 | − | 9.76811i | 0.163614 | − | 0.811197i | ||||
\(146\) | −20.1023 | − | 6.53163i | −1.66368 | − | 0.540562i | ||||
\(147\) | −6.46893 | + | 10.2544i | −0.533548 | + | 0.845770i | ||||
\(148\) | −0.257271 | + | 1.62434i | −0.0211475 | + | 0.133520i | ||||
\(149\) | 8.97259 | − | 15.5410i | 0.735063 | − | 1.27317i | −0.219632 | − | 0.975583i | \(-0.570486\pi\) |
0.954696 | − | 0.297584i | \(-0.0961809\pi\) | |||||||
\(150\) | 17.6300 | + | 14.1468i | 1.43948 | + | 1.15508i | ||||
\(151\) | −2.37015 | − | 4.10522i | −0.192880 | − | 0.334078i | 0.753323 | − | 0.657650i | \(-0.228450\pi\) |
−0.946204 | + | 0.323572i | \(0.895116\pi\) | |||||||
\(152\) | 24.2827 | + | 19.6638i | 1.96959 | + | 1.59494i | ||||
\(153\) | −6.17434 | + | 14.6339i | −0.499165 | + | 1.18308i | ||||
\(154\) | 12.6851 | − | 24.2090i | 1.02219 | − | 1.95081i | ||||
\(155\) | −8.24031 | + | 11.5938i | −0.661878 | + | 0.931240i | ||||
\(156\) | 1.09967 | + | 7.76352i | 0.0880439 | + | 0.621579i | ||||
\(157\) | 2.39635 | − | 8.94328i | 0.191249 | − | 0.713752i | −0.801957 | − | 0.597382i | \(-0.796208\pi\) |
0.993206 | − | 0.116370i | \(-0.0371257\pi\) | |||||||
\(158\) | −23.5353 | + | 1.23343i | −1.87236 | + | 0.0981265i | ||||
\(159\) | 6.42950 | + | 6.64353i | 0.509893 | + | 0.526866i | ||||
\(160\) | 22.5806 | + | 3.33573i | 1.78515 | + | 0.263713i | ||||
\(161\) | −1.34249 | + | 21.0234i | −0.105803 | + | 1.65688i | ||||
\(162\) | 0.308212 | − | 23.4889i | 0.0242154 | − | 1.84546i | ||||
\(163\) | 1.75572 | − | 4.57379i | 0.137518 | − | 0.358247i | −0.847476 | − | 0.530833i | \(-0.821879\pi\) |
0.984994 | + | 0.172586i | \(0.0552123\pi\) | |||||||
\(164\) | −27.0464 | − | 12.0419i | −2.11197 | − | 0.940311i | ||||
\(165\) | 7.74308 | − | 13.2289i | 0.602798 | − | 1.02986i | ||||
\(166\) | −3.38233 | + | 1.50591i | −0.262520 | + | 0.116881i | ||||
\(167\) | −20.9599 | − | 10.6796i | −1.62193 | − | 0.826413i | −0.999027 | − | 0.0441109i | \(-0.985955\pi\) |
−0.622900 | − | 0.782302i | \(-0.714045\pi\) | |||||||
\(168\) | −2.69320 | + | 33.5340i | −0.207785 | + | 2.58720i | ||||
\(169\) | −11.5222 | + | 3.74380i | −0.886324 | + | 0.287984i | ||||
\(170\) | 15.1704 | − | 26.9195i | 1.16352 | − | 2.06463i | ||||
\(171\) | −7.83935 | + | 10.0788i | −0.599490 | + | 0.770748i | ||||
\(172\) | −34.0221 | − | 22.0942i | −2.59416 | − | 1.68467i | ||||
\(173\) | 12.2195 | − | 15.0898i | 0.929028 | − | 1.14725i | −0.0598025 | − | 0.998210i | \(-0.519047\pi\) |
0.988831 | − | 0.149044i | \(-0.0476196\pi\) | |||||||
\(174\) | 18.9242 | − | 6.91106i | 1.43464 | − | 0.523926i | ||||
\(175\) | 8.75877 | − | 9.91382i | 0.662101 | − | 0.749415i | ||||
\(176\) | − | 37.7420i | − | 2.84491i | ||||||
\(177\) | 1.94437 | − | 5.66680i | 0.146148 | − | 0.425943i | ||||
\(178\) | 4.90613 | − | 7.55479i | 0.367730 | − | 0.566255i | ||||
\(179\) | 7.50095 | − | 1.59438i | 0.560648 | − | 0.119169i | 0.0811331 | − | 0.996703i | \(-0.474146\pi\) |
0.479515 | + | 0.877534i | \(0.340813\pi\) | |||||||
\(180\) | −4.09052 | + | 32.0240i | −0.304889 | + | 2.38693i | ||||
\(181\) | 0.533569 | + | 1.64216i | 0.0396599 | + | 0.122061i | 0.968926 | − | 0.247350i | \(-0.0795597\pi\) |
−0.929266 | + | 0.369410i | \(0.879560\pi\) | |||||||
\(182\) | 6.46758 | − | 0.605242i | 0.479409 | − | 0.0448635i | ||||
\(183\) | −0.176360 | + | 1.44931i | −0.0130369 | + | 0.107136i | ||||
\(184\) | 23.7751 | + | 53.3998i | 1.75272 | + | 3.93668i | ||||
\(185\) | 0.740100 | + | 0.190070i | 0.0544132 | + | 0.0139742i | ||||
\(186\) | −28.6897 | − | 1.97496i | −2.10363 | − | 0.144811i | ||||
\(187\) | −19.5621 | − | 7.50918i | −1.43052 | − | 0.549126i | ||||
\(188\) | 4.34876 | + | 27.4570i | 0.317166 | + | 2.00251i | ||||
\(189\) | −13.7226 | − | 0.831520i | −0.998169 | − | 0.0604842i | ||||
\(190\) | 17.3812 | − | 17.7471i | 1.26097 | − | 1.28751i | ||||
\(191\) | −0.0513671 | − | 0.115373i | −0.00371680 | − | 0.00834806i | 0.911678 | − | 0.410906i | \(-0.134788\pi\) |
−0.915394 | + | 0.402558i | \(0.868121\pi\) | |||||||
\(192\) | 5.13712 | + | 12.0660i | 0.370740 | + | 0.870785i | ||||
\(193\) | 20.6596 | + | 5.53573i | 1.48711 | + | 0.398470i | 0.908760 | − | 0.417318i | \(-0.137030\pi\) |
0.578351 | + | 0.815788i | \(0.303697\pi\) | |||||||
\(194\) | 31.9861 | + | 6.79886i | 2.29647 | + | 0.488130i | ||||
\(195\) | 3.63920 | − | 0.168997i | 0.260609 | − | 0.0121022i | ||||
\(196\) | 33.4148 | + | 4.28502i | 2.38677 | + | 0.306073i | ||||
\(197\) | 7.17456 | + | 14.0809i | 0.511166 | + | 1.00322i | 0.991980 | + | 0.126397i | \(0.0403413\pi\) |
−0.480814 | + | 0.876823i | \(0.659659\pi\) | |||||||
\(198\) | 30.9845 | − | 0.607979i | 2.20197 | − | 0.0432072i | ||||
\(199\) | −5.57493 | + | 3.21869i | −0.395196 | + | 0.228167i | −0.684409 | − | 0.729098i | \(-0.739940\pi\) |
0.289213 | + | 0.957265i | \(0.406606\pi\) | |||||||
\(200\) | 8.75976 | − | 35.6458i | 0.619409 | − | 2.52054i | ||||
\(201\) | −8.96091 | − | 1.57004i | −0.632054 | − | 0.110742i | ||||
\(202\) | −3.69384 | − | 0.585047i | −0.259898 | − | 0.0411638i | ||||
\(203\) | −3.51529 | − | 11.2543i | −0.246725 | − | 0.789897i | ||||
\(204\) | 44.1039 | − | 1.58797i | 3.08789 | − | 0.111180i | ||||
\(205\) | −6.75339 | + | 11.9837i | −0.471677 | + | 0.836981i | ||||
\(206\) | 5.67909 | + | 5.11348i | 0.395681 | + | 0.356273i | ||||
\(207\) | −21.6269 | + | 10.1419i | −1.50317 | + | 0.704910i | ||||
\(208\) | 7.52309 | − | 4.88555i | 0.521632 | − | 0.338752i | ||||
\(209\) | −13.6279 | − | 9.90128i | −0.942665 | − | 0.684886i | ||||
\(210\) | 26.3397 | + | 4.64202i | 1.81761 | + | 0.320330i | ||||
\(211\) | 21.5906 | − | 15.6865i | 1.48636 | − | 1.07990i | 0.510918 | − | 0.859629i | \(-0.329305\pi\) |
0.975438 | − | 0.220272i | \(-0.0706946\pi\) | |||||||
\(212\) | 9.20601 | − | 23.9825i | 0.632271 | − | 1.64712i | ||||
\(213\) | −21.3113 | − | 12.7738i | −1.46023 | − | 0.875243i | ||||
\(214\) | −8.17407 | + | 18.3593i | −0.558768 | + | 1.25501i | ||||
\(215\) | −11.7084 | + | 14.7706i | −0.798506 | + | 1.00735i | ||||
\(216\) | −34.7979 | + | 15.6287i | −2.36770 | + | 1.06340i | ||||
\(217\) | −1.95008 | + | 16.7166i | −0.132380 | + | 1.13480i | ||||
\(218\) | −6.38871 | − | 6.38871i | −0.432698 | − | 0.432698i | ||||
\(219\) | −13.8876 | + | 1.96712i | −0.938440 | + | 0.132926i | ||||
\(220\) | −42.4017 | − | 4.01058i | −2.85872 | − | 0.270393i | ||||
\(221\) | −1.03543 | − | 4.87132i | −0.0696507 | − | 0.327681i | ||||
\(222\) | 0.453277 | + | 1.47688i | 0.0304220 | + | 0.0991217i | ||||
\(223\) | −1.93329 | + | 12.2063i | −0.129463 | + | 0.817394i | 0.834432 | + | 0.551111i | \(0.185796\pi\) |
−0.963895 | + | 0.266284i | \(0.914204\pi\) | |||||||
\(224\) | 25.3227 | − | 9.39037i | 1.69194 | − | 0.627420i | ||||
\(225\) | 14.6340 | + | 3.29320i | 0.975602 | + | 0.219547i | ||||
\(226\) | 4.98234 | − | 8.62966i | 0.331420 | − | 0.574037i | ||||
\(227\) | −26.1948 | + | 10.0552i | −1.73861 | + | 0.667389i | −0.999977 | − | 0.00672235i | \(-0.997860\pi\) |
−0.738630 | + | 0.674111i | \(0.764527\pi\) | |||||||
\(228\) | 34.5780 | + | 7.94352i | 2.28998 | + | 0.526072i | ||||
\(229\) | 5.57984 | − | 5.02411i | 0.368726 | − | 0.332002i | −0.463849 | − | 0.885914i | \(-0.653532\pi\) |
0.832575 | + | 0.553912i | \(0.186865\pi\) | |||||||
\(230\) | 44.0444 | − | 14.8198i | 2.90420 | − | 0.977188i | ||||
\(231\) | 0.503788 | − | 18.1297i | 0.0331468 | − | 1.19285i | ||||
\(232\) | −23.1335 | − | 23.1335i | −1.51879 | − | 1.51879i | ||||
\(233\) | 10.7916 | + | 16.6177i | 0.706984 | + | 1.08866i | 0.991515 | + | 0.129993i | \(0.0414955\pi\) |
−0.284531 | + | 0.958667i | \(0.591838\pi\) | |||||||
\(234\) | 4.13200 | + | 6.09741i | 0.270118 | + | 0.398600i | ||||
\(235\) | 12.8908 | − | 0.810280i | 0.840900 | − | 0.0528569i | ||||
\(236\) | −16.5555 | + | 1.74006i | −1.07767 | + | 0.113268i | ||||
\(237\) | −13.6702 | + | 7.59690i | −0.887977 | + | 0.493472i | ||||
\(238\) | 0.417176 | − | 36.5588i | 0.0270415 | − | 2.36976i | ||||
\(239\) | 19.7569 | − | 14.3543i | 1.27797 | − | 0.928500i | 0.278481 | − | 0.960442i | \(-0.410169\pi\) |
0.999490 | + | 0.0319420i | \(0.0101692\pi\) | |||||||
\(240\) | 35.1933 | − | 11.2037i | 2.27172 | − | 0.723198i | ||||
\(241\) | 0.306809 | − | 2.91910i | 0.0197633 | − | 0.188036i | −0.980186 | − | 0.198078i | \(-0.936530\pi\) |
0.999950 | + | 0.0100425i | \(0.00319669\pi\) | |||||||
\(242\) | 0.637094 | + | 12.1565i | 0.0409539 | + | 0.781447i | ||||
\(243\) | −6.66438 | − | 14.0921i | −0.427520 | − | 0.904006i | ||||
\(244\) | 3.85818 | − | 1.25360i | 0.246994 | − | 0.0802533i | ||||
\(245\) | 3.44402 | − | 15.2689i | 0.220030 | − | 0.975493i | ||||
\(246\) | −27.7929 | + | 1.00069i | −1.77201 | + | 0.0638017i | ||||
\(247\) | 0.209533 | − | 3.99813i | 0.0133323 | − | 0.254395i | ||||
\(248\) | 16.7354 | + | 43.5971i | 1.06270 | + | 2.76842i | ||||
\(249\) | −1.57723 | + | 1.88381i | −0.0999529 | + | 0.119382i | ||||
\(250\) | −27.5570 | − | 9.60165i | −1.74286 | − | 0.607261i | ||||
\(251\) | − | 2.81830i | − | 0.177890i | −0.996037 | − | 0.0889448i | \(-0.971651\pi\) | ||
0.996037 | − | 0.0889448i | \(-0.0283495\pi\) | |||||||
\(252\) | 13.9816 | + | 35.5484i | 0.880760 | + | 2.23934i | ||||
\(253\) | −14.3065 | − | 28.0781i | −0.899443 | − | 1.76526i | ||||
\(254\) | 9.19610 | + | 10.2133i | 0.577014 | + | 0.640839i | ||||
\(255\) | 1.19507 | − | 20.4701i | 0.0748383 | − | 1.28189i | ||||
\(256\) | −11.2744 | + | 12.5215i | −0.704649 | + | 0.782592i | ||||
\(257\) | −0.297854 | − | 1.11160i | −0.0185796 | − | 0.0693400i | 0.956014 | − | 0.293322i | \(-0.0947609\pi\) |
−0.974593 | + | 0.223982i | \(0.928094\pi\) | |||||||
\(258\) | −37.8280 | − | 4.60310i | −2.35507 | − | 0.286577i | ||||
\(259\) | 0.875921 | − | 0.224022i | 0.0544271 | − | 0.0139201i | ||||
\(260\) | −4.68930 | − | 8.97105i | −0.290818 | − | 0.556361i | ||||
\(261\) | 9.26618 | − | 9.63710i | 0.573562 | − | 0.596521i | ||||
\(262\) | 25.7885 | − | 20.8832i | 1.59322 | − | 1.29017i | ||||
\(263\) | 12.2846 | − | 9.94788i | 0.757502 | − | 0.613413i | −0.170772 | − | 0.985311i | \(-0.554626\pi\) |
0.928274 | + | 0.371898i | \(0.121293\pi\) | |||||||
\(264\) | −22.1099 | − | 45.2077i | −1.36077 | − | 2.78234i | ||||
\(265\) | −10.6905 | − | 5.30759i | −0.656715 | − | 0.326043i | ||||
\(266\) | 7.93068 | − | 28.3019i | 0.486261 | − | 1.73530i | ||||
\(267\) | 0.722071 | − | 5.93392i | 0.0441900 | − | 0.363150i | ||||
\(268\) | 6.54239 | + | 24.4165i | 0.399640 | + | 1.49148i | ||||
\(269\) | 10.1773 | − | 11.3031i | 0.620522 | − | 0.689160i | −0.348168 | − | 0.937432i | \(-0.613196\pi\) |
0.968690 | + | 0.248272i | \(0.0798628\pi\) | |||||||
\(270\) | 9.76468 | + | 28.7116i | 0.594259 | + | 1.74733i | ||||
\(271\) | −6.71320 | − | 7.45576i | −0.407798 | − | 0.452905i | 0.503903 | − | 0.863760i | \(-0.331897\pi\) |
−0.911701 | + | 0.410855i | \(0.865230\pi\) | |||||||
\(272\) | −22.9212 | − | 44.9853i | −1.38980 | − | 2.72764i | ||||
\(273\) | 3.67900 | − | 2.24640i | 0.222663 | − | 0.135958i | ||||
\(274\) | − | 11.5783i | − | 0.699474i | ||||||
\(275\) | −3.71027 | + | 19.4379i | −0.223737 | + | 1.17215i | ||||
\(276\) | 50.8897 | + | 42.6077i | 3.06320 | + | 2.56468i | ||||
\(277\) | −5.86315 | − | 15.2740i | −0.352283 | − | 0.917728i | −0.989170 | − | 0.146771i | \(-0.953112\pi\) |
0.636888 | − | 0.770956i | \(-0.280221\pi\) | |||||||
\(278\) | −1.69848 | + | 32.4089i | −0.101868 | + | 1.94376i | ||||
\(279\) | −17.6783 | + | 7.18708i | −1.05837 | + | 0.430279i | ||||
\(280\) | −11.1991 | − | 41.9629i | −0.669277 | − | 2.50776i | ||||
\(281\) | 14.4620 | − | 4.69899i | 0.862731 | − | 0.280318i | 0.155962 | − | 0.987763i | \(-0.450152\pi\) |
0.706769 | + | 0.707445i | \(0.250152\pi\) | |||||||
\(282\) | 15.0014 | + | 21.3748i | 0.893318 | + | 1.27285i | ||||
\(283\) | 1.29203 | + | 24.6535i | 0.0768035 | + | 1.46550i | 0.716885 | + | 0.697191i | \(0.245567\pi\) |
−0.640082 | + | 0.768307i | \(0.721099\pi\) | |||||||
\(284\) | −7.21639 | + | 68.6594i | −0.428214 | + | 4.07419i | ||||
\(285\) | 5.18718 | − | 15.6468i | 0.307262 | − | 0.926839i | ||||
\(286\) | −7.86128 | + | 5.71155i | −0.464847 | + | 0.337731i | ||||
\(287\) | −0.185714 | + | 16.2749i | −0.0109624 | + | 0.960675i | ||||
\(288\) | 23.1556 | + | 20.0409i | 1.36446 | + | 1.18092i | ||||
\(289\) | −10.9699 | + | 1.15298i | −0.645288 | + | 0.0678225i | ||||
\(290\) | −20.0414 | + | 16.5777i | −1.17687 | + | 0.973479i | ||||
\(291\) | 21.0497 | − | 5.27251i | 1.23396 | − | 0.309080i | ||||
\(292\) | 21.2263 | + | 32.6856i | 1.24217 | + | 1.91278i | ||||
\(293\) | 6.60742 | + | 6.60742i | 0.386010 | + | 0.386010i | 0.873261 | − | 0.487252i | \(-0.162001\pi\) |
−0.487252 | + | 0.873261i | \(0.662001\pi\) | |||||||
\(294\) | 29.9656 | − | 10.1746i | 1.74763 | − | 0.593393i | ||||
\(295\) | 0.0805530 | + | 7.73405i | 0.00468998 | + | 0.450294i | ||||
\(296\) | 1.86432 | − | 1.67864i | 0.108361 | − | 0.0975689i | ||||
\(297\) | 18.2932 | − | 9.39586i | 1.06148 | − | 0.545203i | ||||
\(298\) | −43.7278 | + | 16.7855i | −2.53308 | + | 0.972359i | ||||
\(299\) | 3.74487 | − | 6.48630i | 0.216571 | − | 0.375112i | ||||
\(300\) | −8.84721 | − | 40.7288i | −0.510794 | − | 2.35148i | ||||
\(301\) | −3.73984 | + | 21.9858i | −0.215561 | + | 1.26724i | ||||
\(302\) | −1.93551 | + | 12.2204i | −0.111376 | + | 0.703203i | ||||
\(303\) | −2.37254 | + | 0.728169i | −0.136299 | + | 0.0418322i | ||||
\(304\) | −8.43876 | − | 39.7012i | −0.483996 | − | 2.27702i | ||||
\(305\) | −0.411063 | − | 1.83948i | −0.0235374 | − | 0.105328i | ||||
\(306\) | 36.5617 | − | 19.5419i | 2.09009 | − | 1.11714i | ||||
\(307\) | 8.36883 | + | 8.36883i | 0.477635 | + | 0.477635i | 0.904374 | − | 0.426740i | \(-0.140338\pi\) |
−0.426740 | + | 0.904374i | \(0.640338\pi\) | |||||||
\(308\) | −46.2684 | + | 19.9706i | −2.63639 | + | 1.13793i | ||||
\(309\) | 4.87624 | + | 1.39252i | 0.277399 | + | 0.0792179i | ||||
\(310\) | 35.7589 | − | 9.98186i | 2.03097 | − | 0.566931i | ||||
\(311\) | −6.12554 | + | 13.7582i | −0.347348 | + | 0.780156i | 0.652404 | + | 0.757871i | \(0.273761\pi\) |
−0.999752 | + | 0.0222844i | \(0.992906\pi\) | |||||||
\(312\) | 6.14917 | − | 10.2591i | 0.348128 | − | 0.580807i | ||||
\(313\) | −8.43534 | + | 21.9748i | −0.476793 | + | 1.24209i | 0.458651 | + | 0.888616i | \(0.348333\pi\) |
−0.935445 | + | 0.353473i | \(0.885001\pi\) | |||||||
\(314\) | −19.5510 | + | 14.2046i | −1.10333 | + | 0.801613i | ||||
\(315\) | 17.0550 | − | 4.91205i | 0.960938 | − | 0.276762i | ||||
\(316\) | 35.1559 | + | 25.5422i | 1.97767 | + | 1.43686i | ||||
\(317\) | 11.6552 | − | 7.56895i | 0.654619 | − | 0.425114i | −0.174140 | − | 0.984721i | \(-0.555714\pi\) |
0.828758 | + | 0.559607i | \(0.189048\pi\) | |||||||
\(318\) | −2.12920 | − | 24.0370i | −0.119400 | − | 1.34793i | ||||
\(319\) | 13.1071 | + | 11.8017i | 0.733858 | + | 0.660768i | ||||
\(320\) | −11.4589 | − | 12.4629i | −0.640571 | − | 0.696695i | ||||
\(321\) | 0.479857 | + | 13.3274i | 0.0267830 | + | 0.743865i | ||||
\(322\) | 37.2560 | − | 40.4394i | 2.07620 | − | 2.25360i | ||||
\(323\) | −22.2565 | − | 3.52509i | −1.23839 | − | 0.196141i | ||||
\(324\) | −27.6975 | + | 33.3006i | −1.53875 | + | 1.85003i | ||||
\(325\) | −4.35481 | + | 1.77659i | −0.241561 | + | 0.0985472i | ||||
\(326\) | −11.0742 | + | 6.39370i | −0.613344 | + | 0.354115i | ||||
\(327\) | −5.67104 | − | 1.94583i | −0.313609 | − | 0.107605i | ||||
\(328\) | 20.5029 | + | 40.2392i | 1.13208 | + | 2.22184i | ||||
\(329\) | 12.9113 | − | 8.17674i | 0.711820 | − | 0.450798i | ||||
\(330\) | −37.4359 | + | 14.1151i | −2.06078 | + | 0.777010i | ||||
\(331\) | −14.7880 | − | 3.14329i | −0.812824 | − | 0.172771i | −0.217296 | − | 0.976106i | \(-0.569724\pi\) |
−0.595528 | + | 0.803335i | \(0.703057\pi\) | |||||||
\(332\) | 6.59409 | + | 1.76688i | 0.361898 | + | 0.0969703i | ||||
\(333\) | 0.700787 | + | 0.748246i | 0.0384029 | + | 0.0410036i | ||||
\(334\) | 24.9735 | + | 56.0914i | 1.36649 | + | 3.06919i | ||||
\(335\) | 11.5803 | − | 1.95799i | 0.632702 | − | 0.106976i | ||||
\(336\) | 30.1321 | − | 31.6510i | 1.64384 | − | 1.72670i | ||||
\(337\) | 3.59577 | + | 22.7028i | 0.195874 | + | 1.23670i | 0.868114 | + | 0.496365i | \(0.165332\pi\) |
−0.672240 | + | 0.740333i | \(0.734668\pi\) | |||||||
\(338\) | 29.5215 | + | 11.3323i | 1.60576 | + | 0.616394i | ||||
\(339\) | 0.454120 | − | 6.59689i | 0.0246644 | − | 0.358294i | ||||
\(340\) | −52.9750 | + | 20.9708i | −2.87297 | + | 1.13730i | ||||
\(341\) | −10.2399 | − | 22.9993i | −0.554524 | − | 1.24548i | ||||
\(342\) | 32.4570 | − | 7.56738i | 1.75507 | − | 0.409197i | ||||
\(343\) | −5.11689 | − | 17.7994i | −0.276286 | − | 0.961075i | ||||
\(344\) | 19.1223 | + | 58.8524i | 1.03101 | + | 3.17311i | ||||
\(345\) | 21.9351 | − | 21.6754i | 1.18094 | − | 1.16696i | ||||
\(346\) | −49.5727 | + | 10.5370i | −2.66504 | + | 0.566472i | ||||
\(347\) | 3.86778 | − | 5.95586i | 0.207633 | − | 0.319727i | −0.719477 | − | 0.694517i | \(-0.755618\pi\) |
0.927110 | + | 0.374789i | \(0.122285\pi\) | |||||||
\(348\) | −35.1366 | − | 12.0560i | −1.88352 | − | 0.646267i | ||||
\(349\) | 6.25943i | 0.335059i | 0.985867 | + | 0.167530i | \(0.0535790\pi\) | ||||
−0.985867 | + | 0.167530i | \(0.946421\pi\) | |||||||
\(350\) | −34.0509 | + | 5.72242i | −1.82010 | + | 0.305876i | ||||
\(351\) | 4.24085 | + | 2.43012i | 0.226360 | + | 0.129710i | ||||
\(352\) | −25.4249 | + | 31.3972i | −1.35515 | + | 1.67348i | ||||
\(353\) | −16.3150 | − | 10.5951i | −0.868362 | − | 0.563921i | 0.0317908 | − | 0.999495i | \(-0.489879\pi\) |
−0.900153 | + | 0.435573i | \(0.856546\pi\) | |||||||
\(354\) | −13.2523 | + | 8.30091i | −0.704350 | + | 0.441188i | ||||
\(355\) | 31.4433 | + | 6.34195i | 1.66884 | + | 0.336596i | ||||
\(356\) | −15.7966 | + | 5.13261i | −0.837216 | + | 0.272028i | ||||
\(357\) | −10.4099 | − | 21.9151i | −0.550951 | − | 1.15987i | ||||
\(358\) | −17.8341 | − | 9.08692i | −0.942560 | − | 0.480258i | ||||
\(359\) | 6.52058 | − | 2.90315i | 0.344143 | − | 0.153222i | −0.227385 | − | 0.973805i | \(-0.573018\pi\) |
0.571528 | + | 0.820583i | \(0.306351\pi\) | |||||||
\(360\) | 35.5914 | − | 34.0367i | 1.87583 | − | 1.79389i | ||||
\(361\) | 0.808165 | + | 0.359818i | 0.0425350 | + | 0.0189378i | ||||
\(362\) | 1.61508 | − | 4.20744i | 0.0848870 | − | 0.221138i | ||||
\(363\) | 3.92396 | + | 7.06097i | 0.205955 | + | 0.370605i | ||||
\(364\) | −9.96997 | − | 6.63753i | −0.522568 | − | 0.347901i | ||||
\(365\) | 16.0477 | − | 8.38838i | 0.839976 | − | 0.439068i | ||||
\(366\) | 2.73836 | − | 2.65014i | 0.143136 | − | 0.138525i | ||||
\(367\) | 12.5274 | − | 0.656533i | 0.653924 | − | 0.0342707i | 0.277511 | − | 0.960722i | \(-0.410491\pi\) |
0.376414 | + | 0.926452i | \(0.377157\pi\) | |||||||
\(368\) | 19.6521 | − | 73.3428i | 1.02444 | − | 3.82326i | ||||
\(369\) | −16.2761 | + | 8.69946i | −0.847302 | + | 0.452876i | ||||
\(370\) | −1.18903 | − | 1.60123i | −0.0618149 | − | 0.0832438i | ||||
\(371\) | −14.1105 | + | 0.578140i | −0.732583 | + | 0.0300155i | ||||
\(372\) | 38.8190 | + | 36.1208i | 2.01267 | + | 1.87277i | ||||
\(373\) | −16.9442 | − | 13.7212i | −0.877339 | − | 0.710455i | 0.0808083 | − | 0.996730i | \(-0.474250\pi\) |
−0.958148 | + | 0.286274i | \(0.907583\pi\) | |||||||
\(374\) | 27.3458 | + | 47.3644i | 1.41402 | + | 2.44915i | ||||
\(375\) | −19.2266 | + | 2.31042i | −0.992857 | + | 0.119310i | ||||
\(376\) | 21.2027 | − | 36.7242i | 1.09345 | − | 1.89390i | ||||
\(377\) | −0.655761 | + | 4.14031i | −0.0337734 | + | 0.213237i | ||||
\(378\) | 26.4694 | + | 24.2272i | 1.36144 | + | 1.24611i | ||||
\(379\) | −1.48517 | − | 0.482560i | −0.0762879 | − | 0.0247874i | 0.270624 | − | 0.962685i | \(-0.412770\pi\) |
−0.346912 | + | 0.937898i | \(0.612770\pi\) | |||||||
\(380\) | −45.4995 | + | 5.26185i | −2.33408 | + | 0.269927i | ||||
\(381\) | 8.45963 | + | 3.40726i | 0.433400 | + | 0.174559i | ||||
\(382\) | −0.0853151 | + | 0.318400i | −0.00436510 | + | 0.0162908i | ||||
\(383\) | −8.24548 | − | 12.6969i | −0.421324 | − | 0.648783i | 0.562732 | − | 0.826639i | \(-0.309750\pi\) |
−0.984056 | + | 0.177857i | \(0.943084\pi\) | |||||||
\(384\) | −0.310969 | + | 1.08893i | −0.0158691 | + | 0.0555691i | ||||
\(385\) | 7.21328 | + | 22.2756i | 0.367623 | + | 1.13527i | ||||
\(386\) | −32.8137 | − | 45.1641i | −1.67017 | − | 2.29879i | ||||
\(387\) | −23.8920 | + | 8.28461i | −1.21450 | + | 0.421131i | ||||
\(388\) | −37.9450 | − | 46.8582i | −1.92637 | − | 2.37886i | ||||
\(389\) | −10.1300 | − | 4.51015i | −0.513610 | − | 0.228674i | 0.133531 | − | 0.991045i | \(-0.457369\pi\) |
−0.647140 | + | 0.762371i | \(0.724035\pi\) | |||||||
\(390\) | −7.65947 | − | 5.63493i | −0.387852 | − | 0.285336i | ||||
\(391\) | −34.1043 | − | 24.7782i | −1.72473 | − | 1.25309i | ||||
\(392\) | −35.4988 | − | 37.1572i | −1.79296 | − | 1.87672i | ||||
\(393\) | 9.28464 | − | 19.9674i | 0.468348 | − | 1.00722i | ||||
\(394\) | 8.57600 | − | 40.3469i | 0.432053 | − | 2.03265i | ||||
\(395\) | 13.3529 | − | 15.1442i | 0.671858 | − | 0.761986i | ||||
\(396\) | −45.1045 | − | 35.0824i | −2.26658 | − | 1.76296i | ||||
\(397\) | −1.24732 | + | 23.8003i | −0.0626013 | + | 1.19450i | 0.769044 | + | 0.639196i | \(0.220733\pi\) |
−0.831645 | + | 0.555308i | \(0.812600\pi\) | |||||||
\(398\) | 16.5954 | + | 2.62845i | 0.831850 | + | 0.131752i | ||||
\(399\) | −3.52369 | − | 19.1835i | −0.176405 | − | 0.960375i | ||||
\(400\) | −37.9827 | + | 28.8236i | −1.89913 | + | 1.44118i | ||||
\(401\) | −3.25988 | − | 1.88210i | −0.162791 | − | 0.0939873i | 0.416391 | − | 0.909186i | \(-0.363295\pi\) |
−0.579182 | + | 0.815198i | \(0.696628\pi\) | |||||||
\(402\) | 15.5976 | + | 17.9038i | 0.777940 | + | 0.892962i | ||||
\(403\) | 3.25891 | − | 5.01828i | 0.162338 | − | 0.249978i | ||||
\(404\) | 4.61418 | + | 5.12457i | 0.229564 | + | 0.254957i | ||||
\(405\) | 14.1917 | + | 14.2687i | 0.705191 | + | 0.709018i | ||||
\(406\) | −11.3557 | + | 28.6028i | −0.563574 | + | 1.41953i | ||||
\(407\) | −0.956333 | + | 0.956333i | −0.0474037 | + | 0.0474037i | ||||
\(408\) | −53.8083 | − | 40.4561i | −2.66391 | − | 2.00288i | ||||
\(409\) | −14.1706 | − | 1.48939i | −0.700692 | − | 0.0736457i | −0.252518 | − | 0.967592i | \(-0.581259\pi\) |
−0.448174 | + | 0.893946i | \(0.647925\pi\) | |||||||
\(410\) | 33.3832 | − | 13.2151i | 1.64868 | − | 0.652649i | ||||
\(411\) | −3.37563 | − | 6.90208i | −0.166507 | − | 0.340455i | ||||
\(412\) | −2.20426 | − | 13.9172i | −0.108596 | − | 0.685650i | ||||
\(413\) | 4.48504 | + | 7.97717i | 0.220695 | + | 0.392531i | ||||
\(414\) | 60.5277 | + | 14.9521i | 2.97477 | + | 0.734854i | ||||
\(415\) | 1.10579 | − | 2.97286i | 0.0542810 | − | 0.145932i | ||||
\(416\) | −9.54952 | − | 1.00370i | −0.468204 | − | 0.0492102i | ||||
\(417\) | 8.43621 | + | 19.8148i | 0.413123 | + | 0.970334i | ||||
\(418\) | 11.3796 | + | 42.4692i | 0.556594 | + | 2.07724i | ||||
\(419\) | −4.92035 | − | 15.1433i | −0.240375 | − | 0.739798i | −0.996363 | − | 0.0852125i | \(-0.972843\pi\) |
0.755988 | − | 0.654586i | \(-0.227157\pi\) | |||||||
\(420\) | −32.3567 | − | 37.2156i | −1.57885 | − | 1.81593i | ||||
\(421\) | −3.80408 | + | 11.7077i | −0.185399 | + | 0.570601i | −0.999955 | − | 0.00948478i | \(-0.996981\pi\) |
0.814556 | + | 0.580085i | \(0.196981\pi\) | |||||||
\(422\) | −69.5615 | − | 3.64556i | −3.38620 | − | 0.177463i | ||||
\(423\) | 15.1744 | + | 8.36837i | 0.737803 | + | 0.406884i | ||||
\(424\) | −33.9361 | + | 19.5930i | −1.64808 | + | 0.951520i | ||||
\(425\) | 7.38251 | + | 25.4216i | 0.358104 | + | 1.23313i | ||||
\(426\) | 22.2465 | + | 60.9165i | 1.07785 | + | 2.95141i | ||||
\(427\) | −1.47328 | − | 1.67427i | −0.0712969 | − | 0.0810237i | ||||
\(428\) | 33.0165 | − | 16.8228i | 1.59591 | − | 0.813159i | ||||
\(429\) | −3.02108 | + | 5.69670i | −0.145859 | + | 0.275039i | ||||
\(430\) | 48.0117 | − | 10.7290i | 2.31533 | − | 0.517399i | ||||
\(431\) | −6.44919 | − | 5.80688i | −0.310647 | − | 0.279707i | 0.499029 | − | 0.866585i | \(-0.333690\pi\) |
−0.809675 | + | 0.586878i | \(0.800357\pi\) | |||||||
\(432\) | 47.9046 | + | 12.6693i | 2.30481 | + | 0.609553i | ||||
\(433\) | 27.1311 | + | 13.8240i | 1.30384 | + | 0.664338i | 0.961387 | − | 0.275198i | \(-0.0887435\pi\) |
0.342449 | + | 0.939536i | \(0.388744\pi\) | |||||||
\(434\) | 31.4142 | − | 30.7053i | 1.50793 | − | 1.47390i | ||||
\(435\) | −7.11387 | + | 15.7253i | −0.341084 | + | 0.753971i | ||||
\(436\) | 1.74136 | + | 16.5679i | 0.0833960 | + | 0.793460i | ||||
\(437\) | −21.3271 | − | 26.3368i | −1.02022 | − | 1.25986i | ||||
\(438\) | 31.4013 | + | 18.8216i | 1.50041 | + | 0.899329i | ||||
\(439\) | 13.6975 | − | 1.43967i | 0.653747 | − | 0.0687116i | 0.228152 | − | 0.973625i | \(-0.426732\pi\) |
0.425595 | + | 0.904914i | \(0.360065\pi\) | |||||||
\(440\) | 46.4160 | + | 45.4591i | 2.21279 | + | 2.16718i | ||||
\(441\) | 14.8967 | − | 14.8016i | 0.709367 | − | 0.704839i | ||||
\(442\) | −5.90129 | + | 11.5819i | −0.280696 | + | 0.550897i | ||||
\(443\) | 4.75176 | − | 1.27323i | 0.225763 | − | 0.0604930i | −0.144164 | − | 0.989554i | \(-0.546049\pi\) |
0.369927 | + | 0.929061i | \(0.379383\pi\) | |||||||
\(444\) | 1.06421 | − | 2.64225i | 0.0505052 | − | 0.125396i | ||||
\(445\) | 1.68302 | + | 7.53141i | 0.0797828 | + | 0.357023i | ||||
\(446\) | 23.9715 | − | 21.5840i | 1.13508 | − | 1.02203i | ||||
\(447\) | −21.1732 | + | 22.7549i | −1.00146 | + | 1.07627i | ||||
\(448\) | −18.9797 | − | 6.40721i | −0.896705 | − | 0.302712i | ||||
\(449\) | −32.7470 | −1.54542 | −0.772712 | − | 0.634757i | \(-0.781100\pi\) | ||||
−0.772712 | + | 0.634757i | \(0.781100\pi\) | |||||||
\(450\) | −24.2747 | − | 30.7178i | −1.14432 | − | 1.44805i | ||||
\(451\) | −12.1735 | − | 21.0852i | −0.573229 | − | 0.992861i | ||||
\(452\) | −17.1530 | + | 6.58443i | −0.806810 | + | 0.309705i | ||||
\(453\) | 2.40901 | + | 7.84909i | 0.113185 | + | 0.368782i | ||||
\(454\) | 69.6509 | + | 22.6309i | 3.26888 | + | 1.06212i | ||||
\(455\) | −3.50645 | + | 4.32130i | −0.164385 | + | 0.202586i | ||||
\(456\) | −33.3656 | − | 42.6108i | −1.56249 | − | 1.99543i | ||||
\(457\) | 27.3278 | − | 7.32246i | 1.27834 | − | 0.342530i | 0.445120 | − | 0.895471i | \(-0.353161\pi\) |
0.833221 | + | 0.552940i | \(0.186494\pi\) | |||||||
\(458\) | −19.5709 | + | 1.02567i | −0.914487 | + | 0.0479262i | ||||
\(459\) | 16.0978 | − | 22.3088i | 0.751379 | − | 1.04128i | ||||
\(460\) | −80.3095 | − | 29.8720i | −3.74445 | − | 1.39279i | ||||
\(461\) | −19.9393 | − | 27.4441i | −0.928667 | − | 1.27820i | −0.960377 | − | 0.278703i | \(-0.910095\pi\) |
0.0317104 | − | 0.999497i | \(-0.489905\pi\) | |||||||
\(462\) | −30.8016 | + | 35.9474i | −1.43302 | + | 1.67242i | ||||
\(463\) | −14.6593 | + | 2.32181i | −0.681277 | + | 0.107904i | −0.487475 | − | 0.873137i | \(-0.662082\pi\) |
−0.193802 | + | 0.981041i | \(0.562082\pi\) | |||||||
\(464\) | 4.44217 | + | 42.2644i | 0.206222 | + | 1.96208i | ||||
\(465\) | 18.4064 | − | 16.3758i | 0.853576 | − | 0.759408i | ||||
\(466\) | 5.40594 | − | 51.4341i | 0.250425 | − | 2.38264i | ||||
\(467\) | −20.0210 | + | 13.0018i | −0.926462 | + | 0.601652i | −0.917253 | − | 0.398306i | \(-0.869598\pi\) |
−0.00920971 | + | 0.999958i | \(0.502932\pi\) | |||||||
\(468\) | 1.15436 | − | 13.5319i | 0.0533601 | − | 0.625512i | ||||
\(469\) | 10.8987 | − | 8.62157i | 0.503256 | − | 0.398107i | ||||
\(470\) | −27.4790 | − | 19.5307i | −1.26751 | − | 0.900882i | ||||
\(471\) | −7.51341 | + | 14.1677i | −0.346200 | + | 0.652812i | ||||
\(472\) | 21.2965 | + | 13.8301i | 0.980252 | + | 0.636583i | ||||
\(473\) | −11.9554 | − | 31.1449i | −0.549711 | − | 1.43205i | ||||
\(474\) | 40.2077 | + | 7.04481i | 1.84680 | + | 0.323579i | ||||
\(475\) | 0.443252 | + | 21.2765i | 0.0203378 | + | 0.976231i | ||||
\(476\) | −43.0197 | + | 51.9026i | −1.97180 | + | 2.37895i | ||||
\(477\) | −8.27716 | − | 13.7082i | −0.378985 | − | 0.627654i | ||||
\(478\) | −63.6538 | − | 3.33595i | −2.91146 | − | 0.152583i | ||||
\(479\) | 5.85447 | − | 1.24441i | 0.267497 | − | 0.0568583i | −0.0722101 | − | 0.997389i | \(-0.523005\pi\) |
0.339708 | + | 0.940531i | \(0.389672\pi\) | |||||||
\(480\) | −36.8243 | − | 14.3877i | −1.68079 | − | 0.656706i | ||||
\(481\) | −0.314418 | − | 0.0668317i | −0.0143362 | − | 0.00304726i | ||||
\(482\) | −5.41723 | + | 5.41723i | −0.246748 | + | 0.246748i | ||||
\(483\) | 10.4191 | − | 34.9686i | 0.474084 | − | 1.59112i | ||||
\(484\) | 13.1931 | − | 18.1588i | 0.599687 | − | 0.825398i | ||||
\(485\) | −23.3348 | + | 15.5017i | −1.05958 | + | 0.703897i | ||||
\(486\) | −9.62925 | + | 39.5316i | −0.436792 | + | 1.79319i | ||||
\(487\) | 0.786979 | − | 0.637283i | 0.0356614 | − | 0.0288780i | −0.611324 | − | 0.791380i | \(-0.709363\pi\) |
0.646985 | + | 0.762502i | \(0.276029\pi\) | |||||||
\(488\) | −5.77718 | − | 2.21765i | −0.261521 | − | 0.100388i | ||||
\(489\) | −4.73750 | + | 7.04006i | −0.214237 | + | 0.318363i | ||||
\(490\) | −32.0665 | + | 25.3148i | −1.44862 | + | 1.14360i | ||||
\(491\) | −1.58217 | + | 2.17767i | −0.0714025 | + | 0.0982771i | −0.843225 | − | 0.537561i | \(-0.819346\pi\) |
0.771822 | + | 0.635839i | \(0.219346\pi\) | |||||||
\(492\) | 40.9867 | + | 30.8162i | 1.84782 | + | 1.38930i | ||||
\(493\) | 22.7899 | + | 6.10653i | 1.02640 | + | 0.275024i | ||||
\(494\) | −6.99231 | + | 7.76575i | −0.314599 | + | 0.349397i | ||||
\(495\) | −18.2011 | + | 19.3286i | −0.818077 | + | 0.868756i | ||||
\(496\) | 18.7453 | − | 57.6922i | 0.841690 | − | 2.59046i | ||||
\(497\) | 36.2274 | − | 11.3156i | 1.62502 | − | 0.507576i | ||||
\(498\) | 6.29363 | − | 1.23043i | 0.282024 | − | 0.0551371i | ||||
\(499\) | −3.22775 | − | 1.86354i | −0.144494 | − | 0.0834235i | 0.426010 | − | 0.904718i | \(-0.359919\pi\) |
−0.570504 | + | 0.821295i | \(0.693252\pi\) | |||||||
\(500\) | 28.3461 | + | 45.7350i | 1.26767 | + | 2.04533i | ||||
\(501\) | 31.2405 | + | 26.1562i | 1.39572 | + | 1.16857i | ||||
\(502\) | −4.62932 | + | 5.71673i | −0.206616 | + | 0.255150i | ||||
\(503\) | 26.2905 | − | 13.3957i | 1.17223 | − | 0.597283i | 0.244181 | − | 0.969730i | \(-0.421481\pi\) |
0.928054 | + | 0.372447i | \(0.121481\pi\) | |||||||
\(504\) | 17.5508 | − | 55.5636i | 0.781774 | − | 2.47500i | ||||
\(505\) | 2.57230 | − | 1.91013i | 0.114466 | − | 0.0849996i | ||||
\(506\) | −17.1011 | + | 80.4543i | −0.760236 | + | 3.57663i | ||||
\(507\) | 20.9023 | − | 1.85153i | 0.928302 | − | 0.0822291i | ||||
\(508\) | −1.32623 | − | 25.3059i | −0.0588419 | − | 1.12277i | ||||
\(509\) | −10.3178 | + | 4.59378i | −0.457328 | + | 0.203616i | −0.622453 | − | 0.782657i | \(-0.713864\pi\) |
0.165125 | + | 0.986273i | \(0.447197\pi\) | |||||||
\(510\) | −36.0482 | + | 39.5593i | −1.59624 | + | 1.75171i | ||||
\(511\) | 11.8734 | − | 17.8346i | 0.525250 | − | 0.788957i | ||||
\(512\) | 42.1454 | − | 6.67518i | 1.86258 | − | 0.295004i | ||||
\(513\) | 17.1420 | − | 13.9738i | 0.756838 | − | 0.616958i | ||||
\(514\) | −1.22174 | + | 2.74407i | −0.0538885 | + | 0.121036i | ||||
\(515\) | −6.53396 | + | 0.410708i | −0.287921 | + | 0.0180980i | ||||
\(516\) | 48.8639 | + | 50.4905i | 2.15111 | + | 2.22272i | ||||
\(517\) | −10.3788 | + | 20.3695i | −0.456458 | + | 0.895849i | ||||
\(518\) | −2.14472 | − | 0.984367i | −0.0942337 | − | 0.0432506i | ||||
\(519\) | −26.4792 | + | 20.7340i | −1.16231 | + | 0.910124i | ||||
\(520\) | −3.05296 | + | 15.1365i | −0.133881 | + | 0.663781i | ||||
\(521\) | 5.94912 | + | 27.9884i | 0.260635 | + | 1.22619i | 0.892476 | + | 0.451095i | \(0.148966\pi\) |
−0.631840 | + | 0.775099i | \(0.717700\pi\) | |||||||
\(522\) | −34.6256 | + | 4.32765i | −1.51552 | + | 0.189416i | ||||
\(523\) | 14.2753 | + | 11.5599i | 0.624214 | + | 0.505479i | 0.888446 | − | 0.458980i | \(-0.151785\pi\) |
−0.264232 | + | 0.964459i | \(0.585118\pi\) | |||||||
\(524\) | −61.1857 | −2.67291 | ||||||||
\(525\) | −18.6301 | + | 13.3387i | −0.813083 | + | 0.582148i | ||||
\(526\) | −41.2588 | −1.79897 | ||||||||
\(527\) | −26.1729 | − | 21.1944i | −1.14011 | − | 0.923241i | ||||
\(528\) | −14.6363 | + | 63.7116i | −0.636964 | + | 2.77269i | ||||
\(529\) | −8.39921 | − | 39.5152i | −0.365183 | − | 1.71805i | ||||
\(530\) | 12.9668 | + | 28.3263i | 0.563243 | + | 1.23042i | ||||
\(531\) | −5.47983 | + | 8.81199i | −0.237805 | + | 0.382408i | ||||
\(532\) | −44.2049 | + | 31.3524i | −1.91653 | + | 1.35930i | ||||
\(533\) | 2.62707 | − | 5.15592i | 0.113791 | − | 0.223328i | ||||
\(534\) | −11.2117 | + | 10.8505i | −0.485177 | + | 0.469546i | ||||
\(535\) | −6.33701 | − | 16.0081i | −0.273973 | − | 0.692092i | ||||
\(536\) | 15.6835 | − | 35.2257i | 0.677423 | − | 1.52152i | ||||
\(537\) | −13.2805 | − | 0.217424i | −0.573096 | − | 0.00938252i | ||||
\(538\) | −39.2103 | + | 6.21030i | −1.69048 | + | 0.267745i | ||||
\(539\) | 20.1599 | + | 19.0028i | 0.868350 | + | 0.818508i | ||||
\(540\) | 19.3240 | − | 52.4727i | 0.831571 | − | 2.25807i | ||||
\(541\) | −27.3971 | + | 12.1980i | −1.17789 | + | 0.524432i | −0.899877 | − | 0.436145i | \(-0.856344\pi\) |
−0.278016 | + | 0.960576i | \(0.589677\pi\) | |||||||
\(542\) | 1.37049 | + | 26.1505i | 0.0588677 | + | 1.12326i | ||||
\(543\) | −0.263881 | − | 2.97901i | −0.0113242 | − | 0.127842i | ||||
\(544\) | −11.2365 | + | 52.8636i | −0.481762 | + | 2.26651i | ||||
\(545\) | 7.73984 | − | 0.0806133i | 0.331538 | − | 0.00345310i | ||||
\(546\) | −11.1525 | − | 1.48642i | −0.477283 | − | 0.0636130i | ||||
\(547\) | 12.5206 | − | 6.37956i | 0.535342 | − | 0.272770i | −0.165349 | − | 0.986235i | \(-0.552875\pi\) |
0.700691 | + | 0.713465i | \(0.252875\pi\) | |||||||
\(548\) | −13.4352 | + | 16.5911i | −0.573923 | + | 0.708736i | ||||
\(549\) | 0.859749 | − | 2.37816i | 0.0366932 | − | 0.101497i | ||||
\(550\) | 39.4545 | − | 33.3339i | 1.68234 | − | 1.42136i | ||||
\(551\) | 16.4262 | + | 9.48370i | 0.699782 | + | 0.404019i | ||||
\(552\) | −19.4259 | − | 99.3630i | −0.826822 | − | 4.22917i | ||||
\(553\) | 5.23320 | − | 23.3092i | 0.222538 | − | 0.991208i | ||||
\(554\) | −13.1960 | + | 40.6131i | −0.560644 | + | 1.72548i | ||||
\(555\) | −1.17564 | − | 0.607863i | −0.0499031 | − | 0.0258024i | ||||
\(556\) | 40.0402 | − | 44.4692i | 1.69808 | − | 1.88591i | ||||
\(557\) | −36.4125 | − | 9.75669i | −1.54285 | − | 0.413404i | −0.615662 | − | 0.788010i | \(-0.711111\pi\) |
−0.927184 | + | 0.374606i | \(0.877778\pi\) | |||||||
\(558\) | 47.6646 | + | 14.4597i | 2.01781 | + | 0.612128i | ||||
\(559\) | 4.66051 | − | 6.41464i | 0.197119 | − | 0.271311i | ||||
\(560\) | −22.9982 | + | 51.5166i | −0.971850 | + | 2.17698i | ||||
\(561\) | 30.1103 | + | 20.2622i | 1.27126 | + | 0.855472i | ||||
\(562\) | −37.0537 | − | 14.2236i | −1.56302 | − | 0.599985i | ||||
\(563\) | −31.9805 | + | 25.8973i | −1.34782 | + | 1.09144i | −0.360488 | + | 0.932764i | \(0.617390\pi\) |
−0.987330 | + | 0.158678i | \(0.949277\pi\) | |||||||
\(564\) | 3.30673 | − | 48.0360i | 0.139238 | − | 2.02268i | ||||
\(565\) | 2.29522 | + | 8.22237i | 0.0965607 | + | 0.345918i | ||||
\(566\) | 37.8748 | − | 52.1302i | 1.59200 | − | 2.19120i | ||||
\(567\) | 22.8423 | + | 6.72526i | 0.959287 | + | 0.282434i | ||||
\(568\) | 74.4662 | − | 74.4662i | 3.12453 | − | 3.12453i | ||||
\(569\) | 9.77699 | + | 2.07816i | 0.409873 | + | 0.0871211i | 0.408234 | − | 0.912878i | \(-0.366145\pi\) |
0.00163916 | + | 0.999999i | \(0.499478\pi\) | |||||||
\(570\) | −36.2232 | + | 23.2181i | −1.51722 | + | 0.972499i | ||||
\(571\) | 32.4922 | − | 6.90642i | 1.35975 | − | 0.289025i | 0.530400 | − | 0.847747i | \(-0.322042\pi\) |
0.829355 | + | 0.558723i | \(0.188708\pi\) | |||||||
\(572\) | 17.8923 | + | 0.937695i | 0.748114 | + | 0.0392070i | ||||
\(573\) | 0.0419705 | + | 0.214678i | 0.00175334 | + | 0.00896830i | ||||
\(574\) | 27.1097 | − | 32.7074i | 1.13154 | − | 1.36518i | ||||
\(575\) | −17.3312 | + | 35.8410i | −0.722763 | + | 1.49467i | ||||
\(576\) | −3.99272 | − | 22.3605i | −0.166363 | − | 0.931686i | ||||
\(577\) | 1.91818 | + | 4.99704i | 0.0798550 | + | 0.208029i | 0.967695 | − | 0.252122i | \(-0.0811285\pi\) |
−0.887840 | + | 0.460151i | \(0.847795\pi\) | |||||||
\(578\) | 24.1456 | + | 15.6803i | 1.00432 | + | 0.652215i | ||||
\(579\) | −32.7283 | − | 17.3565i | −1.36014 | − | 0.721312i | ||||
\(580\) | 47.9545 | − | 0.499464i | 1.99120 | − | 0.0207391i | ||||
\(581\) | −0.544763 | − | 3.71324i | −0.0226006 | − | 0.154051i | ||||
\(582\) | −51.3585 | − | 23.8812i | −2.12888 | − | 0.989907i | ||||
\(583\) | 17.7174 | − | 11.5058i | 0.733779 | − | 0.476522i | ||||
\(584\) | 6.21424 | − | 59.1245i | 0.257147 | − | 2.44659i | ||||
\(585\) | −6.20880 | − | 1.12600i | −0.256702 | − | 0.0465542i | ||||
\(586\) | −2.54941 | − | 24.2560i | −0.105315 | − | 1.00201i | ||||
\(587\) | 2.73571 | − | 0.433294i | 0.112915 | − | 0.0178840i | −0.0997212 | − | 0.995015i | \(-0.531795\pi\) |
0.212636 | + | 0.977131i | \(0.431795\pi\) | |||||||
\(588\) | −54.7452 | − | 20.1917i | −2.25765 | − | 0.832691i | ||||
\(589\) | −15.9139 | − | 21.9036i | −0.655721 | − | 0.902522i | ||||
\(590\) | 12.5405 | − | 15.8203i | 0.516284 | − | 0.651312i | ||||
\(591\) | −6.65068 | − | 26.5519i | −0.273573 | − | 1.09220i | ||||
\(592\) | −3.25428 | + | 0.170550i | −0.133750 | + | 0.00700955i | ||||
\(593\) | −4.57026 | + | 1.22460i | −0.187678 | + | 0.0502882i | −0.351434 | − | 0.936213i | \(-0.614306\pi\) |
0.163756 | + | 0.986501i | \(0.447639\pi\) | |||||||
\(594\) | −52.5401 | − | 10.9894i | −2.15575 | − | 0.450902i | ||||
\(595\) | 22.1259 | + | 22.1700i | 0.907072 | + | 0.908880i | ||||
\(596\) | 82.1367 | + | 26.6878i | 3.36445 | + | 1.09318i | ||||
\(597\) | 10.6591 | − | 3.27145i | 0.436249 | − | 0.133892i | ||||
\(598\) | −18.2505 | + | 7.00572i | −0.746320 | + | 0.286485i | ||||
\(599\) | 23.2159 | + | 40.2112i | 0.948577 | + | 1.64298i | 0.748426 | + | 0.663218i | \(0.230810\pi\) |
0.200150 | + | 0.979765i | \(0.435857\pi\) | |||||||
\(600\) | −28.6106 | + | 56.7760i | −1.16802 | + | 2.31787i | ||||
\(601\) | −18.8886 | −0.770480 | −0.385240 | − | 0.922816i | \(-0.625881\pi\) | ||||
−0.385240 | + | 0.922816i | \(0.625881\pi\) | |||||||
\(602\) | 43.6996 | − | 38.4536i | 1.78106 | − | 1.56725i | ||||
\(603\) | 14.5179 | + | 6.12539i | 0.591213 | + | 0.249445i | ||||
\(604\) | 16.9536 | − | 15.2651i | 0.689834 | − | 0.621129i | ||||
\(605\) | −7.82229 | − | 6.89707i | −0.318021 | − | 0.280406i | ||||
\(606\) | 6.00862 | + | 2.42007i | 0.244083 | + | 0.0983087i | ||||
\(607\) | 44.6978 | − | 11.9767i | 1.81423 | − | 0.486121i | 0.818181 | − | 0.574961i | \(-0.194983\pi\) |
0.996046 | + | 0.0888398i | \(0.0283159\pi\) | |||||||
\(608\) | −19.7246 | + | 38.7118i | −0.799939 | + | 1.56997i | ||||
\(609\) | 1.56968 | + | 20.3614i | 0.0636068 | + | 0.825085i | ||||
\(610\) | −2.18770 | + | 4.40647i | −0.0885776 | + | 0.178413i | ||||
\(611\) | −5.40372 | + | 0.567954i | −0.218611 | + | 0.0229769i | ||||
\(612\) | −75.0666 | − | 14.4228i | −3.03439 | − | 0.583007i | ||||
\(613\) | 16.0991 | + | 19.8808i | 0.650238 | + | 0.802977i | 0.990523 | − | 0.137345i | \(-0.0438569\pi\) |
−0.340285 | + | 0.940322i | \(0.610524\pi\) | |||||||
\(614\) | −3.22903 | − | 30.7222i | −0.130313 | − | 1.23985i | ||||
\(615\) | 16.0475 | − | 17.6106i | 0.647099 | − | 0.710126i | ||||
\(616\) | 74.0211 | + | 20.7420i | 2.98240 | + | 0.835718i | ||||
\(617\) | 3.83805 | + | 1.95558i | 0.154514 | + | 0.0787288i | 0.529538 | − | 0.848286i | \(-0.322365\pi\) |
−0.375024 | + | 0.927015i | \(0.622365\pi\) | |||||||
\(618\) | −7.60376 | − | 10.8343i | −0.305868 | − | 0.435820i | ||||
\(619\) | 2.60952 | + | 2.34962i | 0.104886 | + | 0.0944394i | 0.719905 | − | 0.694072i | \(-0.244185\pi\) |
−0.615020 | + | 0.788512i | \(0.710852\pi\) | |||||||
\(620\) | −62.8230 | − | 27.1902i | −2.52303 | − | 1.09198i | ||||
\(621\) | 40.4410 | − | 8.73343i | 1.62284 | − | 0.350461i | ||||
\(622\) | 35.0243 | − | 17.8458i | 1.40435 | − | 0.715551i | ||||
\(623\) | 6.03206 | + | 6.85499i | 0.241669 | + | 0.274639i | ||||
\(624\) | −14.5942 | + | 5.32975i | −0.584235 | + | 0.213361i | ||||
\(625\) | 22.3953 | − | 11.1108i | 0.895813 | − | 0.444431i | ||||
\(626\) | 53.2061 | − | 30.7186i | 2.12654 | − | 1.22776i | ||||
\(627\) | 19.1654 | + | 21.9990i | 0.765391 | + | 0.878557i | ||||
\(628\) | 44.4980 | + | 2.33204i | 1.77567 | + | 0.0930587i | ||||
\(629\) | −0.559076 | + | 1.72066i | −0.0222918 | + | 0.0686072i | ||||
\(630\) | −42.6633 | − | 18.0506i | −1.69975 | − | 0.719153i | ||||
\(631\) | −2.56842 | − | 7.90478i | −0.102247 | − | 0.314684i | 0.886827 | − | 0.462101i | \(-0.152904\pi\) |
−0.989074 | + | 0.147417i | \(0.952904\pi\) | |||||||
\(632\) | −17.1563 | − | 64.0284i | −0.682443 | − | 2.54691i | ||||
\(633\) | −42.5298 | + | 18.1072i | −1.69041 | + | 0.719697i | ||||
\(634\) | −36.0744 | − | 3.79157i | −1.43270 | − | 0.150582i | ||||
\(635\) | −11.7635 | − | 0.493710i | −0.466822 | − | 0.0195923i | ||||
\(636\) | −24.8408 | + | 36.9143i | −0.985004 | + | 1.46375i | ||||
\(637\) | −1.17819 | + | 6.47829i | −0.0466815 | + | 0.256679i | ||||
\(638\) | −7.20151 | − | 45.4686i | −0.285111 | − | 1.80012i | ||||
\(639\) | 31.0216 | + | 29.8276i | 1.22720 | + | 1.17996i | ||||
\(640\) | −0.0917166 | − | 1.45912i | −0.00362542 | − | 0.0576768i | ||||
\(641\) | −20.3653 | − | 2.14048i | −0.804380 | − | 0.0845437i | −0.306590 | − | 0.951842i | \(-0.599188\pi\) |
−0.497790 | + | 0.867298i | \(0.665855\pi\) | |||||||
\(642\) | 20.9182 | − | 27.8220i | 0.825574 | − | 1.09805i | ||||
\(643\) | 7.05501 | − | 7.05501i | 0.278222 | − | 0.278222i | −0.554177 | − | 0.832399i | \(-0.686967\pi\) |
0.832399 | + | 0.554177i | \(0.186967\pi\) | |||||||
\(644\) | −100.310 | + | 14.7164i | −3.95278 | + | 0.579905i | ||||
\(645\) | 25.4927 | − | 20.3934i | 1.00377 | − | 0.802991i | ||||
\(646\) | 39.3556 | + | 43.7088i | 1.54842 | + | 1.71970i | ||||
\(647\) | 20.3742 | − | 31.3735i | 0.800992 | − | 1.23342i | −0.167867 | − | 0.985810i | \(-0.553688\pi\) |
0.968860 | − | 0.247611i | \(-0.0796454\pi\) | |||||||
\(648\) | 64.8024 | − | 12.8879i | 2.54568 | − | 0.506285i | ||||
\(649\) | −11.8557 | − | 6.84487i | −0.465375 | − | 0.268685i | ||||
\(650\) | 11.7516 | + | 3.54949i | 0.460937 | + | 0.139222i | ||||
\(651\) | 9.77457 | − | 27.4627i | 0.383096 | − | 1.07635i | ||||
\(652\) | 23.2878 | + | 3.68842i | 0.912020 | + | 0.144450i | ||||
\(653\) | −1.53120 | + | 29.2169i | −0.0599203 | + | 1.14335i | 0.788850 | + | 0.614586i | \(0.210677\pi\) |
−0.848770 | + | 0.528762i | \(0.822657\pi\) | |||||||
\(654\) | 8.30712 | + | 13.2622i | 0.324834 | + | 0.518593i | ||||
\(655\) | −2.67696 | + | 28.3020i | −0.104597 | + | 1.10585i | ||||
\(656\) | 12.1970 | − | 57.3822i | 0.476211 | − | 2.24040i | ||||
\(657\) | 24.2063 | + | 2.06495i | 0.944378 | + | 0.0805613i | ||||
\(658\) | −39.6206 | − | 4.62195i | −1.54457 | − | 0.180183i | ||||
\(659\) | −18.4607 | − | 13.4125i | −0.719128 | − | 0.522477i | 0.166977 | − | 0.985961i | \(-0.446599\pi\) |
−0.886106 | + | 0.463483i | \(0.846599\pi\) | |||||||
\(660\) | 70.0222 | + | 23.2135i | 2.72561 | + | 0.903585i | ||||
\(661\) | −8.89132 | − | 3.95867i | −0.345832 | − | 0.153974i | 0.226468 | − | 0.974019i | \(-0.427282\pi\) |
−0.572300 | + | 0.820044i | \(0.693949\pi\) | |||||||
\(662\) | 24.8334 | + | 30.6666i | 0.965176 | + | 1.19189i | ||||
\(663\) | −0.141201 | + | 8.62472i | −0.00548379 | + | 0.334956i | ||||
\(664\) | −6.12094 | − | 8.42476i | −0.237539 | − | 0.326944i | ||||
\(665\) | 12.5683 | + | 21.8191i | 0.487379 | + | 0.846110i | ||||
\(666\) | −0.192436 | − | 2.66887i | −0.00745675 | − | 0.103417i | ||||
\(667\) | 19.3255 | + | 29.7587i | 0.748286 | + | 1.15226i | ||||
\(668\) | 29.3014 | − | 109.354i | 1.13370 | − | 4.23104i | ||||
\(669\) | 7.99713 | − | 19.8555i | 0.309187 | − | 0.767657i | ||||
\(670\) | −26.7061 | − | 15.0501i | −1.03175 | − | 0.581437i | ||||
\(671\) | 3.17284 | + | 1.03092i | 0.122486 | + | 0.0397981i | ||||
\(672\) | −46.3882 | + | 6.03160i | −1.78946 | + | 0.232674i | ||||
\(673\) | −5.70984 | + | 36.0505i | −0.220098 | + | 1.38965i | 0.591912 | + | 0.806003i | \(0.298373\pi\) |
−0.812010 | + | 0.583643i | \(0.801627\pi\) | |||||||
\(674\) | 29.9976 | − | 51.9574i | 1.15546 | − | 2.00132i | ||||
\(675\) | −23.4263 | − | 11.2342i | −0.901679 | − | 0.432406i | ||||
\(676\) | −29.1530 | − | 50.4944i | −1.12127 | − | 1.94209i | ||||
\(677\) | −8.71206 | − | 7.05488i | −0.334832 | − | 0.271141i | 0.447129 | − | 0.894470i | \(-0.352447\pi\) |
−0.781960 | + | 0.623328i | \(0.785780\pi\) | |||||||
\(678\) | −11.7572 | + | 12.6354i | −0.451531 | + | 0.485260i | ||||
\(679\) | −15.3846 | + | 29.3609i | −0.590406 | + | 1.12677i | ||||
\(680\) | 82.9317 | + | 25.9944i | 3.18029 | + | 0.996840i | ||||
\(681\) | 48.1182 | − | 6.81573i | 1.84389 | − | 0.261179i | ||||
\(682\) | −17.0074 | + | 63.4725i | −0.651247 | + | 2.43049i | ||||
\(683\) | 40.4827 | − | 2.12161i | 1.54903 | − | 0.0811812i | 0.741477 | − | 0.670978i | \(-0.234126\pi\) |
0.807552 | + | 0.589797i | \(0.200792\pi\) | |||||||
\(684\) | −55.2899 | − | 26.8186i | −2.11406 | − | 1.02543i | ||||
\(685\) | 7.08656 | + | 6.94046i | 0.270763 | + | 0.265181i | ||||
\(686\) | −18.8578 | + | 44.5097i | −0.719995 | + | 1.69939i | ||||
\(687\) | −11.3676 | + | 6.31724i | −0.433699 | + | 0.241018i | ||||
\(688\) | 28.8066 | − | 75.0437i | 1.09824 | − | 2.86101i | ||||
\(689\) | 4.58688 | + | 2.04221i | 0.174746 | + | 0.0778021i | ||||
\(690\) | −80.0976 | + | 7.93662i | −3.04926 | + | 0.302142i | ||||
\(691\) | −14.0968 | + | 6.27630i | −0.536267 | + | 0.238762i | −0.656956 | − | 0.753929i | \(-0.728156\pi\) |
0.120689 | + | 0.992690i | \(0.461490\pi\) | |||||||
\(692\) | 83.2615 | + | 42.4239i | 3.16513 | + | 1.61271i | ||||
\(693\) | −7.88112 | + | 30.4091i | −0.299379 | + | 1.15514i | ||||
\(694\) | −17.6286 | + | 5.72787i | −0.669171 | + | 0.217427i | ||||
\(695\) | −18.8178 | − | 20.4666i | −0.713801 | − | 0.776342i | ||||
\(696\) | 30.0800 | + | 48.0223i | 1.14018 | + | 1.82028i | ||||
\(697\) | −27.3151 | − | 17.7386i | −1.03463 | − | 0.671898i | ||||
\(698\) | 10.2817 | − | 12.6968i | 0.389167 | − | 0.480581i | ||||
\(699\) | −11.7728 | − | 32.2369i | −0.445290 | − | 1.21931i | ||||
\(700\) | 55.4331 | + | 31.3119i | 2.09517 | + | 1.18348i | ||||
\(701\) | 23.0555i | 0.870794i | 0.900239 | + | 0.435397i | \(0.143392\pi\) | ||||
−0.900239 | + | 0.435397i | \(0.856608\pi\) | |||||||
\(702\) | −4.61058 | − | 11.8953i | −0.174015 | − | 0.448959i | ||||
\(703\) | −0.792149 | + | 1.21980i | −0.0298765 | + | 0.0460057i | ||||
\(704\) | 29.3109 | − | 6.23022i | 1.10470 | − | 0.234810i | ||||
\(705\) | −22.0749 | − | 3.63120i | −0.831387 | − | 0.136759i | ||||
\(706\) | 15.6905 | + | 48.2904i | 0.590520 | + | 1.81743i | ||||
\(707\) | 1.58134 | − | 3.44540i | 0.0594724 | − | 0.129578i | ||||
\(708\) | 28.6219 | + | 3.48286i | 1.07568 | + | 0.130894i | ||||
\(709\) | −10.9217 | − | 24.5305i | −0.410172 | − | 0.921262i | −0.994000 | − | 0.109384i | \(-0.965112\pi\) |
0.583827 | − | 0.811878i | \(-0.301555\pi\) | |||||||
\(710\) | −53.3634 | − | 64.5128i | −2.00269 | − | 2.42112i | ||||
\(711\) | 26.0225 | − | 7.52287i | 0.975920 | − | 0.282130i | ||||
\(712\) | 23.6536 | + | 9.07975i | 0.886455 | + | 0.340278i | ||||
\(713\) | −7.92327 | − | 50.0256i | −0.296729 | − | 1.87347i | ||||
\(714\) | −14.8817 | + | 61.5525i | −0.556933 | + | 2.30354i | ||||
\(715\) | 1.21655 | − | 8.23522i | 0.0454964 | − | 0.307980i | ||||
\(716\) | 15.0110 | + | 33.7152i | 0.560986 | + | 1.26000i | ||||
\(717\) | −38.9179 | + | 16.5694i | −1.45341 | + | 0.618796i | ||||
\(718\) | −17.9952 | − | 4.82181i | −0.671576 | − | 0.179948i | ||||
\(719\) | 2.60584 | + | 0.553889i | 0.0971815 | + | 0.0206566i | 0.256246 | − | 0.966612i | \(-0.417514\pi\) |
−0.159064 | + | 0.987268i | \(0.550848\pi\) | |||||||
\(720\) | −63.7539 | + | 5.26488i | −2.37597 | + | 0.196211i | ||||
\(721\) | −6.54435 | + | 4.14456i | −0.243724 | + | 0.154351i | ||||
\(722\) | −1.04827 | − | 2.05735i | −0.0390127 | − | 0.0765667i | ||||
\(723\) | −1.64994 | + | 4.80869i | −0.0613619 | + | 0.178837i | ||||
\(724\) | −7.19652 | + | 4.15491i | −0.267456 | + | 0.154416i | ||||
\(725\) | 1.86704 | − | 22.2037i | 0.0693402 | − | 0.824623i | ||||
\(726\) | 3.63880 | − | 20.7682i | 0.135048 | − | 0.770778i | ||||
\(727\) | 37.3288 | + | 5.91230i | 1.38445 | + | 0.219275i | 0.803809 | − | 0.594887i | \(-0.202803\pi\) |
0.580638 | + | 0.814162i | \(0.302803\pi\) | |||||||
\(728\) | 5.44724 | + | 17.4395i | 0.201888 | + | 0.646352i | ||||
\(729\) | 5.78513 | + | 26.3729i | 0.214264 | + | 0.976776i | ||||
\(730\) | −46.3304 | − | 9.34459i | −1.71476 | − | 0.345859i | ||||
\(731\) | −33.1645 | − | 29.8615i | −1.22663 | − | 1.10447i | ||||
\(732\) | −6.99905 | + | 0.619977i | −0.258692 | + | 0.0229150i | ||||
\(733\) | −5.80690 | + | 3.77104i | −0.214483 | + | 0.139287i | −0.647409 | − | 0.762142i | \(-0.724148\pi\) |
0.432927 | + | 0.901429i | \(0.357481\pi\) | |||||||
\(734\) | −26.4894 | − | 19.2457i | −0.977740 | − | 0.710370i | ||||
\(735\) | −11.7350 | + | 24.4395i | −0.432853 | + | 0.901464i | ||||
\(736\) | −65.7558 | + | 47.7744i | −2.42379 | + | 1.76099i | ||||
\(737\) | −7.44965 | + | 19.4070i | −0.274411 | + | 0.714866i | ||||
\(738\) | 47.3047 | + | 9.08880i | 1.74131 | + | 0.334563i | ||||
\(739\) | −5.64903 | + | 12.6879i | −0.207803 | + | 0.466733i | −0.987137 | − | 0.159876i | \(-0.948891\pi\) |
0.779334 | + | 0.626608i | \(0.215557\pi\) | |||||||
\(740\) | −0.154204 | + | 3.67418i | −0.00566864 | + | 0.135066i | ||||
\(741\) | −1.90418 | + | 6.66790i | −0.0699516 | + | 0.244951i | ||||
\(742\) | 29.5719 | + | 22.0051i | 1.08562 | + | 0.807834i | ||||
\(743\) | 7.78350 | + | 7.78350i | 0.285549 | + | 0.285549i | 0.835317 | − | 0.549768i | \(-0.185284\pi\) |
−0.549768 | + | 0.835317i | \(0.685284\pi\) | |||||||
\(744\) | −11.3437 | − | 80.0854i | −0.415882 | − | 2.93607i | ||||
\(745\) | 15.9383 | − | 36.8255i | 0.583935 | − | 1.34918i | ||||
\(746\) | 11.8319 | + | 55.6649i | 0.433198 | + | 2.03804i | ||||
\(747\) | 3.39303 | − | 2.56837i | 0.124144 | − | 0.0939718i | ||||
\(748\) | 15.7754 | − | 99.6017i | 0.576804 | − | 3.64180i | ||||
\(749\) | −15.6841 | − | 12.9998i | −0.573083 | − | 0.475003i | ||||
\(750\) | 42.7949 | + | 26.8949i | 1.56265 | + | 0.982063i | ||||
\(751\) | 5.42357 | − | 9.39390i | 0.197909 | − | 0.342788i | −0.749941 | − | 0.661504i | \(-0.769918\pi\) |
0.947850 | + | 0.318716i | \(0.103252\pi\) | |||||||
\(752\) | −51.4254 | + | 19.7404i | −1.87529 | + | 0.719857i | ||||
\(753\) | −1.09293 | + | 4.75751i | −0.0398287 | + | 0.173373i | ||||
\(754\) | 8.13100 | − | 7.32119i | 0.296114 | − | 0.266622i | ||||
\(755\) | −6.31929 | − | 8.50994i | −0.229982 | − | 0.309708i | ||||
\(756\) | −9.81649 | − | 65.4306i | −0.357022 | − | 2.37969i | ||||
\(757\) | −32.9888 | − | 32.9888i | −1.19900 | − | 1.19900i | −0.974467 | − | 0.224530i | \(-0.927915\pi\) |
−0.224530 | − | 0.974467i | \(-0.572085\pi\) | |||||||
\(758\) | 2.21991 | + | 3.41836i | 0.0806308 | + | 0.124160i | ||||
\(759\) | 13.2619 | + | 52.9461i | 0.481376 | + | 1.92182i | ||||
\(760\) | 58.9896 | + | 37.4407i | 2.13978 | + | 1.35812i | ||||
\(761\) | 35.8474 | − | 3.76772i | 1.29947 | − | 0.136580i | 0.570597 | − | 0.821230i | \(-0.306712\pi\) |
0.728871 | + | 0.684651i | \(0.240045\pi\) | |||||||
\(762\) | −11.5630 | − | 20.8071i | −0.418885 | − | 0.753761i | ||||
\(763\) | 7.98314 | − | 4.48840i | 0.289009 | − | 0.162491i | ||||
\(764\) | 0.491715 | − | 0.357252i | 0.0177896 | − | 0.0129249i | ||||
\(765\) | −9.95567 | + | 34.0918i | −0.359948 | + | 1.23259i | ||||
\(766\) | −4.13047 | + | 39.2988i | −0.149240 | + | 1.41992i | ||||
\(767\) | −0.170284 | − | 3.24922i | −0.00614861 | − | 0.117322i | ||||
\(768\) | 23.8879 | − | 16.7651i | 0.861979 | − | 0.604957i | ||||
\(769\) | −12.4425 | + | 4.04280i | −0.448687 | + | 0.145787i | −0.524640 | − | 0.851324i | \(-0.675800\pi\) |
0.0759531 | + | 0.997111i | \(0.475800\pi\) | |||||||
\(770\) | 21.9581 | − | 57.0331i | 0.791315 | − | 2.05533i | ||||
\(771\) | 0.0717219 | + | 1.99198i | 0.00258300 | + | 0.0717396i | ||||
\(772\) | −5.38718 | + | 102.794i | −0.193889 | + | 3.69962i | ||||
\(773\) | 2.21202 | + | 5.76252i | 0.0795610 | + | 0.207263i | 0.967591 | − | 0.252521i | \(-0.0812598\pi\) |
−0.888030 | + | 0.459785i | \(0.847926\pi\) | |||||||
\(774\) | 62.0715 | + | 22.4400i | 2.23111 | + | 0.806590i | ||||
\(775\) | −15.3257 | + | 27.8698i | −0.550514 | + | 1.00111i | ||||
\(776\) | 91.9753i | 3.30172i | ||||||||
\(777\) | −1.56550 | + | 0.0384863i | −0.0561620 | + | 0.00138069i | ||||
\(778\) | 13.1396 | + | 25.7879i | 0.471078 | + | 0.924542i | ||||
\(779\) | −17.5199 | − | 19.4578i | −0.627715 | − | 0.697148i | ||||
\(780\) | 4.43695 | + | 16.9624i | 0.158868 | + | 0.607350i | ||||
\(781\) | −37.9894 | + | 42.1915i | −1.35937 | + | 1.50973i | ||||
\(782\) | 28.4777 | + | 106.280i | 1.01836 | + | 3.80058i | ||||
\(783\) | −19.3793 | + | 12.6748i | −0.692559 | + | 0.452960i | ||||
\(784\) | 5.46091 | + | 66.5298i | 0.195032 | + | 2.37606i | ||||
\(785\) | 3.02556 | − | 20.4810i | 0.107987 | − | 0.730997i | ||||
\(786\) | −51.6316 | + | 25.2517i | −1.84164 | + | 0.900697i | ||||
\(787\) | −15.6141 | + | 12.6440i | −0.556582 | + | 0.450711i | −0.865879 | − | 0.500254i | \(-0.833240\pi\) |
0.309296 | + | 0.950966i | \(0.399907\pi\) | |||||||
\(788\) | −59.1063 | + | 47.8634i | −2.10558 | + | 1.70506i | ||||
\(789\) | −24.5952 | + | 12.0289i | −0.875611 | + | 0.428239i | ||||
\(790\) | −51.9612 | + | 8.78553i | −1.84870 | + | 0.312575i | ||||
\(791\) | 7.06036 | + | 7.22335i | 0.251038 | + | 0.256833i | ||||
\(792\) | 19.7918 | + | 84.8883i | 0.703271 | + | 3.01638i | ||||
\(793\) | 0.205219 | + | 0.765887i | 0.00728753 | + | 0.0271974i | ||||
\(794\) | 41.6243 | − | 46.2285i | 1.47719 | − | 1.64059i | ||||
\(795\) | 15.9882 | + | 13.1054i | 0.567044 | + | 0.464801i | ||||
\(796\) | −20.7302 | − | 23.0232i | −0.734762 | − | 0.816036i | ||||
\(797\) | −11.9805 | − | 23.5131i | −0.424372 | − | 0.832876i | −0.999886 | − | 0.0150846i | \(-0.995198\pi\) |
0.575515 | − | 0.817791i | \(-0.304802\pi\) | |||||||
\(798\) | −24.3631 | + | 44.7004i | −0.862443 | + | 1.58238i | ||||
\(799\) | 30.5819i | 1.08191i | ||||||||
\(800\) | 51.0144 | + | 1.60901i | 1.80363 | + | 0.0568871i | ||||
\(801\) | −3.52008 | + | 9.73691i | −0.124376 | + | 0.344037i | ||||
\(802\) | 3.52094 | + | 9.17236i | 0.124329 | + | 0.323887i | ||||
\(803\) | −1.67738 | + | 32.0063i | −0.0591934 | + | 1.12948i | ||||
\(804\) | −1.57538 | − | 43.7542i | −0.0555594 | − | 1.54309i | ||||
\(805\) | 2.41848 | + | 47.0434i | 0.0852401 | + | 1.65806i | ||||
\(806\) | −14.8534 | + | 4.82618i | −0.523190 | + | 0.169995i | ||||
\(807\) | −21.5634 | + | 15.1337i | −0.759069 | + | 0.532732i | ||||
\(808\) | −0.550519 | − | 10.5045i | −0.0193672 | − | 0.369548i | ||||
\(809\) | −0.879170 | + | 8.36474i | −0.0309100 | + | 0.294089i | 0.968136 | + | 0.250424i | \(0.0805700\pi\) |
−0.999046 | + | 0.0436647i | \(0.986097\pi\) | |||||||
\(810\) | −5.34923 | − | 52.2542i | −0.187953 | − | 1.83603i | ||||
\(811\) | 36.6228 | − | 26.6080i | 1.28600 | − | 0.934334i | 0.286283 | − | 0.958145i | \(-0.407580\pi\) |
0.999716 | + | 0.0238114i | \(0.00758012\pi\) | |||||||
\(812\) | 49.4619 | − | 27.8092i | 1.73577 | − | 0.975912i | ||||
\(813\) | 8.44108 | + | 15.1893i | 0.296042 | + | 0.532712i | ||||
\(814\) | 3.51072 | − | 0.368992i | 0.123051 | − | 0.0129331i | ||||
\(815\) | 2.72499 | − | 10.6106i | 0.0954521 | − | 0.371674i | ||||
\(816\) | 21.2475 | + | 84.8276i | 0.743812 | + | 2.96956i | ||||
\(817\) | −19.5397 | − | 30.0885i | −0.683609 | − | 1.05266i | ||||
\(818\) | 26.2977 | + | 26.2977i | 0.919476 | + | 0.919476i | ||||
\(819\) | −7.08159 | + | 2.36539i | −0.247451 | + | 0.0826534i | ||||
\(820\) | −63.1706 | − | 19.8004i | −2.20601 | − | 0.691461i | ||||
\(821\) | 36.5311 | − | 32.8928i | 1.27495 | − | 1.14797i | 0.293555 | − | 0.955942i | \(-0.405162\pi\) |
0.981390 | − | 0.192024i | \(-0.0615051\pi\) | |||||||
\(822\) | −4.49007 | + | 19.5452i | −0.156609 | + | 0.681716i | ||||
\(823\) | −20.8185 | + | 7.99146i | −0.725686 | + | 0.278565i | −0.693037 | − | 0.720902i | \(-0.743728\pi\) |
−0.0326493 | + | 0.999467i | \(0.510394\pi\) | |||||||
\(824\) | −10.7471 | + | 18.6144i | −0.374391 | + | 0.648465i | ||||
\(825\) | 13.8012 | − | 31.3738i | 0.480496 | − | 1.09230i | ||||
\(826\) | 4.00562 | − | 23.5482i | 0.139374 | − | 0.819348i | ||||
\(827\) | 8.46201 | − | 53.4270i | 0.294253 | − | 1.85784i | −0.188486 | − | 0.982076i | \(-0.560358\pi\) |
0.482739 | − | 0.875764i | \(-0.339642\pi\) | |||||||
\(828\) | −69.3826 | − | 91.6601i | −2.41121 | − | 3.18541i | ||||
\(829\) | 3.30563 | + | 15.5517i | 0.114809 | + | 0.540135i | 0.997530 | + | 0.0702374i | \(0.0223757\pi\) |
−0.882721 | + | 0.469897i | \(0.844291\pi\) | |||||||
\(830\) | −7.12621 | + | 4.21388i | −0.247354 | + | 0.146266i | ||||
\(831\) | 3.97422 | + | 28.0575i | 0.137864 | + | 0.973304i | ||||
\(832\) | 5.03603 | + | 5.03603i | 0.174593 | + | 0.174593i | ||||
\(833\) | 35.5696 | + | 10.4064i | 1.23241 | + | 0.360559i | ||||
\(834\) | 15.4353 | − | 54.0502i | 0.534481 | − | 1.87160i | ||||
\(835\) | −49.3009 | − | 18.3380i | −1.70613 | − | 0.634613i | ||||
\(836\) | 32.9738 | − | 74.0604i | 1.14042 | − | 2.56143i | ||||
\(837\) | 32.6295 | − | 5.27675i | 1.12784 | − | 0.182391i | ||||
\(838\) | −14.8936 | + | 38.7993i | −0.514492 | + | 1.34030i | ||||
\(839\) | −19.8858 | + | 14.4479i | −0.686533 | + | 0.498795i | −0.875519 | − | 0.483185i | \(-0.839480\pi\) |
0.188986 | + | 0.981980i | \(0.439480\pi\) | |||||||
\(840\) | 2.63192 | + | 75.1797i | 0.0908098 | + | 2.59394i | ||||
\(841\) | 7.39480 | + | 5.37264i | 0.254993 | + | 0.185263i | ||||
\(842\) | 26.9474 | − | 17.4998i | 0.928667 | − | 0.603083i | ||||
\(843\) | −26.2353 | + | 2.32392i | −0.903591 | + | 0.0800402i | ||||
\(844\) | 95.4473 | + | 85.9411i | 3.28543 | + | 2.95821i | ||||
\(845\) | −24.6322 | + | 11.2758i | −0.847372 | + | 0.387899i | ||||
\(846\) | −17.0343 | − | 41.8999i | −0.585653 | − | 1.44055i | ||||
\(847\) | −12.0397 | − | 2.70306i | −0.413689 | − | 0.0928783i | ||||
\(848\) | 50.2753 | + | 7.96283i | 1.72646 | + | 0.273445i | ||||
\(849\) | 7.37953 | − | 42.1181i | 0.253265 | − | 1.44549i | ||||
\(850\) | 26.7823 | − | 63.6924i | 0.918627 | − | 2.18463i | ||||
\(851\) | −2.35637 | + | 1.36045i | −0.0807752 | + | 0.0466356i | ||||
\(852\) | 38.8079 | − | 113.104i | 1.32954 | − | 3.87488i | ||||
\(853\) | 2.19526 | + | 4.30844i | 0.0751644 | + | 0.147518i | 0.925530 | − | 0.378673i | \(-0.123620\pi\) |
−0.850366 | + | 0.526191i | \(0.823620\pi\) | |||||||
\(854\) | 0.238300 | + | 5.81614i | 0.00815446 | + | 0.199024i | ||||
\(855\) | −14.8242 | + | 24.4015i | −0.506977 | + | 0.834514i | ||||
\(856\) | −55.2896 | − | 11.7522i | −1.88976 | − | 0.401681i | ||||
\(857\) | 39.9379 | + | 10.7013i | 1.36425 | + | 0.365550i | 0.865376 | − | 0.501123i | \(-0.167080\pi\) |
0.498876 | + | 0.866673i | \(0.333746\pi\) | |||||||
\(858\) | 15.4854 | − | 6.59297i | 0.528663 | − | 0.225080i | ||||
\(859\) | −6.83318 | − | 15.3476i | −0.233145 | − | 0.523653i | 0.758649 | − | 0.651500i | \(-0.225860\pi\) |
−0.991794 | + | 0.127847i | \(0.959193\pi\) | |||||||
\(860\) | −81.2476 | − | 40.3374i | −2.77052 | − | 1.37550i | ||||
\(861\) | 6.62487 | − | 27.4013i | 0.225775 | − | 0.933832i | ||||
\(862\) | 3.54341 | + | 22.3722i | 0.120689 | + | 0.762001i | ||||
\(863\) | −1.13273 | − | 0.434815i | −0.0385587 | − | 0.0148013i | 0.339012 | − | 0.940782i | \(-0.389907\pi\) |
−0.377571 | + | 0.925981i | \(0.623241\pi\) | |||||||
\(864\) | −31.3166 | − | 42.8104i | −1.06541 | − | 1.45644i | ||||
\(865\) | 23.2664 | − | 36.6573i | 0.791080 | − | 1.24639i | ||||
\(866\) | −32.3264 | − | 72.6063i | −1.09850 | − | 2.46726i | ||||
\(867\) | 18.9652 | + | 2.30778i | 0.644091 | + | 0.0783764i | ||||
\(868\) | −80.6443 | + | 7.54676i | −2.73724 | + | 0.256154i | ||||
\(869\) | 11.0430 | + | 33.9870i | 0.374609 | + | 1.15293i | ||||
\(870\) | 40.2603 | − | 20.2125i | 1.36495 | − | 0.685269i | ||||
\(871\) | −4.83270 | + | 1.02722i | −0.163750 | + | 0.0348061i | ||||
\(872\) | 13.8405 | − | 21.3125i | 0.468698 | − | 0.721731i | ||||
\(873\) | −37.5783 | + | 0.737363i | −1.27183 | + | 0.0249560i | ||||
\(874\) | 88.4542i | 2.99201i | ||||||||
\(875\) | 16.9089 | − | 24.2712i | 0.571624 | − | 0.820515i | ||||
\(876\) | −23.1562 | − | 63.4074i | −0.782376 | − | 2.14234i | ||||
\(877\) | −1.16033 | + | 1.43289i | −0.0391816 | + | 0.0483853i | −0.796360 | − | 0.604823i | \(-0.793244\pi\) |
0.757179 | + | 0.653208i | \(0.226577\pi\) | |||||||
\(878\) | −30.1493 | − | 19.5792i | −1.01749 | − | 0.660765i | ||||
\(879\) | −8.59150 | − | 13.7162i | −0.289784 | − | 0.462636i | ||||
\(880\) | −9.69520 | − | 83.8350i | −0.326825 | − | 2.82608i | ||||
\(881\) | −38.2024 | + | 12.4127i | −1.28707 | + | 0.418195i | −0.871065 | − | 0.491168i | \(-0.836570\pi\) |
−0.416005 | + | 0.909362i | \(0.636570\pi\) | |||||||
\(882\) | −54.5300 | + | 5.55487i | −1.83612 | + | 0.187042i | ||||
\(883\) | 8.14341 | + | 4.14927i | 0.274048 | + | 0.139634i | 0.585614 | − | 0.810590i | \(-0.300854\pi\) |
−0.311566 | + | 0.950224i | \(0.600854\pi\) | |||||||
\(884\) | 21.8956 | − | 9.74853i | 0.736427 | − | 0.327879i | ||||
\(885\) | 2.86327 | − | 13.0869i | 0.0962479 | − | 0.439912i | ||||
\(886\) | −11.7300 | − | 5.22254i | −0.394077 | − | 0.175455i | ||||
\(887\) | 3.60345 | − | 9.38731i | 0.120992 | − | 0.315195i | −0.859686 | − | 0.510822i | \(-0.829341\pi\) |
0.980678 | + | 0.195627i | \(0.0626743\pi\) | |||||||
\(888\) | −3.79809 | + | 2.11070i | −0.127456 | + | 0.0708303i | ||||
\(889\) | −12.4840 | + | 6.18252i | −0.418700 | + | 0.207355i | ||||
\(890\) | 8.95714 | − | 18.0415i | 0.300244 | − | 0.604751i | ||||
\(891\) | −34.5241 | + | 8.76687i | −1.15660 | + | 0.293701i | ||||
\(892\) | −59.3953 | + | 3.11277i | −1.98870 | + | 0.104223i | ||||
\(893\) | −6.36311 | + | 23.7474i | −0.212933 | + | 0.794678i | ||||
\(894\) | 80.3253 | − | 11.3777i | 2.68648 | − | 0.380528i | ||||
\(895\) | 16.2520 | − | 5.46838i | 0.543246 | − | 0.182788i | ||||
\(896\) | −0.925535 | − | 1.46144i | −0.0309199 | − | 0.0488233i | ||||
\(897\) | −8.83701 | + | 9.49713i | −0.295059 | + | 0.317100i | ||||
\(898\) | 66.4249 | + | 53.7899i | 2.21663 | + | 1.79499i | ||||
\(899\) | 14.1739 | + | 24.5499i | 0.472726 | + | 0.818785i | ||||
\(900\) | −0.859784 | + | 72.1845i | −0.0286595 | + | 2.40615i | ||||
\(901\) | 14.1300 | − | 24.4739i | 0.470740 | − | 0.815345i | ||||
\(902\) | −9.94114 | + | 62.7659i | −0.331004 | + | 2.08988i | ||||
\(903\) | 14.8392 | − | 35.6634i | 0.493817 | − | 1.18680i | ||||
\(904\) | 26.6553 | + | 8.66083i | 0.886542 | + | 0.288055i | ||||
\(905\) | 1.60704 | + | 3.51060i | 0.0534197 | + | 0.116696i | ||||
\(906\) | 8.00634 | − | 19.8783i | 0.265993 | − | 0.660414i | ||||
\(907\) | 6.37329 | − | 23.7855i | 0.211622 | − | 0.789783i | −0.775707 | − | 0.631094i | \(-0.782606\pi\) |
0.987329 | − | 0.158690i | \(-0.0507269\pi\) | |||||||
\(908\) | −73.5453 | − | 113.250i | −2.44069 | − | 3.75833i | ||||
\(909\) | 4.28742 | − | 0.309140i | 0.142205 | − | 0.0102535i | ||||
\(910\) | 14.2107 | − | 3.00580i | 0.471081 | − | 0.0996413i | ||||
\(911\) | 19.6145 | + | 26.9970i | 0.649856 | + | 0.894450i | 0.999093 | − | 0.0425842i | \(-0.0135591\pi\) |
−0.349237 | + | 0.937035i | \(0.613559\pi\) | |||||||
\(912\) | −1.15078 | + | 70.2914i | −0.0381063 | + | 2.32758i | ||||
\(913\) | 3.53305 | + | 4.36295i | 0.116927 | + | 0.144393i | ||||
\(914\) | −67.4604 | − | 30.0353i | −2.23139 | − | 0.993479i | ||||
\(915\) | −0.0194415 | + | 3.26460i | −0.000642717 | + | 0.107924i | ||||
\(916\) | 29.2341 | + | 21.2398i | 0.965920 | + | 0.701782i | ||||
\(917\) | 13.3298 | + | 30.8829i | 0.440190 | + | 1.01984i | ||||
\(918\) | −69.2974 | + | 18.8097i | −2.28715 | + | 0.620813i | ||||
\(919\) | 7.15157 | − | 33.6455i | 0.235908 | − | 1.10986i | −0.687542 | − | 0.726144i | \(-0.741310\pi\) |
0.923451 | − | 0.383717i | \(-0.125356\pi\) | |||||||
\(920\) | 66.5282 | + | 112.508i | 2.19337 | + | 3.70927i | ||||
\(921\) | −10.8818 | − | 17.3727i | −0.358569 | − | 0.572449i | ||||
\(922\) | −4.63393 | + | 88.4207i | −0.152610 | + | 2.91198i | ||||
\(923\) | −13.3276 | − | 2.11088i | −0.438682 | − | 0.0694804i | ||||
\(924\) | 85.8493 | − | 15.7691i | 2.82423 | − | 0.518766i | ||||
\(925\) | 1.69278 | + | 0.232079i | 0.0556583 | + | 0.00763071i | ||||
\(926\) | 33.5492 | + | 19.3697i | 1.10250 | + | 0.636527i | ||||
\(927\) | −7.69146 | − | 4.24169i | −0.252621 | − | 0.139315i | ||||
\(928\) | 24.7760 | − | 38.1517i | 0.813313 | − | 1.25239i | ||||
\(929\) | −0.268352 | − | 0.298035i | −0.00880435 | − | 0.00977822i | 0.738727 | − | 0.674005i | \(-0.235427\pi\) |
−0.747531 | + | 0.664227i | \(0.768761\pi\) | |||||||
\(930\) | −64.2348 | + | 2.98294i | −2.10634 | + | 0.0978143i | ||||
\(931\) | 25.4553 | + | 15.4816i | 0.834263 | + | 0.507391i | ||||
\(932\) | −67.4290 | + | 67.4290i | −2.20871 | + | 2.20871i | ||||
\(933\) | 15.6758 | − | 20.8495i | 0.513203 | − | 0.682581i | ||||
\(934\) | 61.9679 | + | 6.51309i | 2.02765 | + | 0.213115i | ||||
\(935\) | −45.3815 | − | 11.6547i | −1.48413 | − | 0.381151i | ||||
\(936\) | −14.3587 | + | 14.9335i | −0.469330 | + | 0.488117i | ||||
\(937\) | −6.31084 | − | 39.8451i | −0.206166 | − | 1.30168i | −0.846006 | − | 0.533174i | \(-0.820999\pi\) |
0.639840 | − | 0.768509i | \(-0.279001\pi\) | |||||||
\(938\) | −36.2690 | − | 0.413869i | −1.18422 | − | 0.0135133i | ||||
\(939\) | 22.7613 | − | 33.8240i | 0.742787 | − | 1.10380i | ||||
\(940\) | 16.7129 | + | 59.8721i | 0.545115 | + | 1.95281i | ||||
\(941\) | 49.8729 | + | 5.24185i | 1.62581 | + | 0.170879i | 0.873123 | − | 0.487500i | \(-0.162091\pi\) |
0.752686 | + | 0.658379i | \(0.228758\pi\) | |||||||
\(942\) | 38.5121 | − | 16.3967i | 1.25479 | − | 0.534233i | ||||
\(943\) | −12.6774 | − | 47.3127i | −0.412833 | − | 1.54071i | ||||
\(944\) | −10.1930 | − | 31.3710i | −0.331755 | − | 1.02104i | ||||
\(945\) | −30.6950 | + | 1.67803i | −0.998509 | + | 0.0545865i | ||||
\(946\) | −26.9077 | + | 82.8132i | −0.874843 | + | 2.69249i | ||||
\(947\) | −31.9160 | − | 1.67265i | −1.03713 | − | 0.0543538i | −0.473839 | − | 0.880611i | \(-0.657132\pi\) |
−0.563293 | + | 0.826257i | \(0.690466\pi\) | |||||||
\(948\) | −49.4407 | − | 56.7507i | −1.60576 | − | 1.84318i | ||||
\(949\) | −6.59692 | + | 3.80873i | −0.214145 | + | 0.123637i | ||||
\(950\) | 34.0494 | − | 43.8859i | 1.10471 | − | 1.42385i | ||||
\(951\) | −22.6101 | + | 8.25713i | −0.733181 | + | 0.267756i | ||||
\(952\) | 100.824 | − | 20.2312i | 3.26772 | − | 0.655696i | ||||
\(953\) | 4.26461 | − | 2.17293i | 0.138144 | − | 0.0703879i | −0.383552 | − | 0.923519i | \(-0.625299\pi\) |
0.521696 | + | 0.853131i | \(0.325299\pi\) | |||||||
\(954\) | −5.72725 | + | 41.4021i | −0.185427 | + | 1.34044i | ||||
\(955\) | −0.143737 | − | 0.243078i | −0.00465122 | − | 0.00786580i | ||||
\(956\) | 87.3411 | + | 78.6423i | 2.82481 | + | 2.54347i | ||||
\(957\) | −17.5492 | − | 25.0051i | −0.567284 | − | 0.808301i | ||||
\(958\) | −13.9194 | − | 7.09231i | −0.449717 | − | 0.229142i | ||||
\(959\) | 11.3012 | + | 3.16678i | 0.364934 | + | 0.102261i | ||||
\(960\) | 14.5104 | + | 25.4820i | 0.468322 | + | 0.822429i | ||||
\(961\) | −0.989260 | − | 9.41218i | −0.0319116 | − | 0.303619i | ||||
\(962\) | 0.527999 | + | 0.652024i | 0.0170234 | + | 0.0210221i | ||||
\(963\) | 4.35832 | − | 22.6838i | 0.140445 | − | 0.730977i | ||||
\(964\) | 14.0486 | − | 1.47656i | 0.452474 | − | 0.0475569i | ||||
\(965\) | 47.3125 | + | 6.98925i | 1.52304 | + | 0.224992i | ||||
\(966\) | −78.5734 | + | 53.8170i | −2.52806 | + | 1.73153i | ||||
\(967\) | 26.2148 | − | 51.4495i | 0.843012 | − | 1.65451i | 0.0905292 | − | 0.995894i | \(-0.471144\pi\) |
0.752483 | − | 0.658611i | \(-0.228856\pi\) | |||||||
\(968\) | −33.0720 | + | 8.86162i | −1.06298 | + | 0.284823i | ||||
\(969\) | 36.2038 | + | 14.5817i | 1.16303 | + | 0.468431i | ||||
\(970\) | 72.7961 | + | 6.88544i | 2.33734 | + | 0.221078i | ||||
\(971\) | −38.6685 | + | 34.8172i | −1.24093 | + | 1.11734i | −0.252192 | + | 0.967677i | \(0.581152\pi\) |
−0.988737 | + | 0.149661i | \(0.952182\pi\) | |||||||
\(972\) | 59.6695 | − | 45.4729i | 1.91390 | − | 1.45855i | ||||
\(973\) | −31.1685 | − | 10.5219i | −0.999217 | − | 0.337318i | ||||
\(974\) | −2.64313 | −0.0846913 | ||||||||
\(975\) | 8.04022 | − | 1.31023i | 0.257493 | − | 0.0419609i | ||||
\(976\) | 4.01919 | + | 6.96144i | 0.128651 | + | 0.222830i | ||||
\(977\) | −11.5959 | + | 4.45125i | −0.370985 | + | 0.142408i | −0.536716 | − | 0.843763i | \(-0.680335\pi\) |
0.165730 | + | 0.986171i | \(0.447002\pi\) | |||||||
\(978\) | 21.1736 | − | 6.49852i | 0.677058 | − | 0.207800i | ||||
\(979\) | −12.9906 | − | 4.22090i | −0.415181 | − | 0.134900i | ||||
\(980\) | 75.3239 | + | 0.934531i | 2.40613 | + | 0.0298525i | ||||
\(981\) | 8.81858 | + | 5.48394i | 0.281556 | + | 0.175089i | ||||
\(982\) | 6.78636 | − | 1.81840i | 0.216561 | − | 0.0580275i | ||||
\(983\) | 8.09378 | − | 0.424177i | 0.258152 | − | 0.0135292i | 0.0771788 | − | 0.997017i | \(-0.475409\pi\) |
0.180973 | + | 0.983488i | \(0.442075\pi\) | |||||||
\(984\) | −19.0058 | − | 75.8780i | −0.605883 | − | 2.41890i | ||||
\(985\) | 19.5537 | + | 29.4343i | 0.623032 | + | 0.937855i | ||||
\(986\) | −36.1972 | − | 49.8211i | −1.15275 | − | 1.58663i | ||||
\(987\) | −24.9661 | + | 8.79602i | −0.794681 | + | 0.279981i | ||||
\(988\) | 19.0307 | − | 3.01417i | 0.605448 | − | 0.0958935i | ||||
\(989\) | −7.01550 | − | 66.7480i | −0.223080 | − | 2.12246i | ||||
\(990\) | 68.6686 | − | 9.30981i | 2.18243 | − | 0.295885i | ||||
\(991\) | −3.05614 | + | 29.0772i | −0.0970815 | + | 0.923668i | 0.832245 | + | 0.554408i | \(0.187055\pi\) |
−0.929326 | + | 0.369260i | \(0.879611\pi\) | |||||||
\(992\) | −54.4584 | + | 35.3657i | −1.72905 | + | 1.12286i | ||||
\(993\) | 23.7444 | + | 11.0409i | 0.753506 | + | 0.350373i | ||||
\(994\) | −92.0717 | − | 36.5538i | −2.92034 | − | 1.15941i | ||||
\(995\) | −11.5566 | + | 8.58165i | −0.366368 | + | 0.272057i | ||||
\(996\) | −10.4462 | − | 5.53982i | −0.330999 | − | 0.175536i | ||||
\(997\) | 10.7444 | + | 6.97748i | 0.340278 | + | 0.220979i | 0.703453 | − | 0.710742i | \(-0.251641\pi\) |
−0.363175 | + | 0.931721i | \(0.618307\pi\) | |||||||
\(998\) | 3.48623 | + | 9.08193i | 0.110355 | + | 0.287484i | ||||
\(999\) | −0.892815 | − | 1.53486i | −0.0282474 | − | 0.0485609i |
(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 | 525.2.bs.a.2.3 | ✓ | 1216 | |
3.2 | odd | 2 | inner | 525.2.bs.a.2.74 | yes | 1216 | |
7.4 | even | 3 | inner | 525.2.bs.a.452.74 | yes | 1216 | |
21.11 | odd | 6 | inner | 525.2.bs.a.452.3 | yes | 1216 | |
25.13 | odd | 20 | inner | 525.2.bs.a.338.3 | yes | 1216 | |
75.38 | even | 20 | inner | 525.2.bs.a.338.74 | yes | 1216 | |
175.88 | odd | 60 | inner | 525.2.bs.a.263.74 | yes | 1216 | |
525.263 | even | 60 | inner | 525.2.bs.a.263.3 | yes | 1216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bs.a.2.3 | ✓ | 1216 | 1.1 | even | 1 | trivial | |
525.2.bs.a.2.74 | yes | 1216 | 3.2 | odd | 2 | inner | |
525.2.bs.a.263.3 | yes | 1216 | 525.263 | even | 60 | inner | |
525.2.bs.a.263.74 | yes | 1216 | 175.88 | odd | 60 | inner | |
525.2.bs.a.338.3 | yes | 1216 | 25.13 | odd | 20 | inner | |
525.2.bs.a.338.74 | yes | 1216 | 75.38 | even | 20 | inner | |
525.2.bs.a.452.3 | yes | 1216 | 21.11 | odd | 6 | inner | |
525.2.bs.a.452.74 | yes | 1216 | 7.4 | even | 3 | inner |