Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(4,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 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("525.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bo (of order \(30\), degree \(8\), 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: | \(320\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 319.38 | ||
Character | \(\chi\) | \(=\) | 525.319 |
Dual form | 525.2.bo.a.79.38 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.92304 | + | 1.73151i | 1.35979 | + | 1.22436i | 0.950026 | + | 0.312172i | \(0.101057\pi\) |
0.409767 | + | 0.912190i | \(0.365610\pi\) | |||||||
\(3\) | 0.994522 | − | 0.104528i | 0.574187 | − | 0.0603495i | ||||
\(4\) | 0.490886 | + | 4.67047i | 0.245443 | + | 2.33524i | ||||
\(5\) | 0.450773 | − | 2.19016i | 0.201592 | − | 0.979470i | ||||
\(6\) | 2.09349 | + | 1.52101i | 0.854665 | + | 0.620951i | ||||
\(7\) | −1.42574 | + | 2.22874i | −0.538879 | + | 0.842383i | ||||
\(8\) | −4.10095 | + | 5.64447i | −1.44990 | + | 1.99562i | ||||
\(9\) | 0.978148 | − | 0.207912i | 0.326049 | − | 0.0693039i | ||||
\(10\) | 4.65914 | − | 3.43124i | 1.47335 | − | 1.08505i | ||||
\(11\) | 2.32661 | + | 0.494537i | 0.701500 | + | 0.149108i | 0.544835 | − | 0.838543i | \(-0.316592\pi\) |
0.156665 | + | 0.987652i | \(0.449926\pi\) | |||||||
\(12\) | 0.976394 | + | 4.59357i | 0.281861 | + | 1.32605i | ||||
\(13\) | 1.90422 | + | 0.618718i | 0.528135 | + | 0.171602i | 0.560934 | − | 0.827860i | \(-0.310442\pi\) |
−0.0327988 | + | 0.999462i | \(0.510442\pi\) | |||||||
\(14\) | −6.60083 | + | 1.81726i | −1.76415 | + | 0.485682i | ||||
\(15\) | 0.219369 | − | 2.22528i | 0.0566409 | − | 0.574565i | ||||
\(16\) | −8.47259 | + | 1.80090i | −2.11815 | + | 0.450226i | ||||
\(17\) | −1.91629 | − | 4.30407i | −0.464770 | − | 1.04389i | −0.982144 | − | 0.188131i | \(-0.939757\pi\) |
0.517374 | − | 0.855759i | \(-0.326910\pi\) | |||||||
\(18\) | 2.24101 | + | 1.29385i | 0.528212 | + | 0.304963i | ||||
\(19\) | −0.305504 | + | 2.90668i | −0.0700875 | + | 0.666838i | 0.901922 | + | 0.431898i | \(0.142156\pi\) |
−0.972010 | + | 0.234940i | \(0.924511\pi\) | |||||||
\(20\) | 10.4504 | + | 1.03020i | 2.33677 | + | 0.230360i | ||||
\(21\) | −1.18496 | + | 2.36556i | −0.258580 | + | 0.516207i | ||||
\(22\) | 3.61787 | + | 4.97957i | 0.771332 | + | 1.06165i | ||||
\(23\) | −6.04068 | − | 5.43905i | −1.25957 | − | 1.13412i | −0.985000 | − | 0.172553i | \(-0.944799\pi\) |
−0.274568 | − | 0.961568i | \(-0.588535\pi\) | |||||||
\(24\) | −3.48848 | + | 6.04222i | −0.712082 | + | 1.23336i | ||||
\(25\) | −4.59361 | − | 1.97453i | −0.918722 | − | 0.394906i | ||||
\(26\) | 2.59057 | + | 4.48699i | 0.508052 | + | 0.879972i | ||||
\(27\) | 0.951057 | − | 0.309017i | 0.183031 | − | 0.0594703i | ||||
\(28\) | −11.1091 | − | 5.56482i | −2.09943 | − | 1.05165i | ||||
\(29\) | −5.97343 | + | 4.33995i | −1.10924 | + | 0.805908i | −0.982543 | − | 0.186033i | \(-0.940437\pi\) |
−0.126694 | + | 0.991942i | \(0.540437\pi\) | |||||||
\(30\) | 4.27495 | − | 3.89946i | 0.780496 | − | 0.711940i | ||||
\(31\) | 8.80335 | − | 3.91950i | 1.58113 | − | 0.703964i | 0.586742 | − | 0.809774i | \(-0.300410\pi\) |
0.994386 | + | 0.105810i | \(0.0337435\pi\) | |||||||
\(32\) | −7.32694 | − | 4.23021i | −1.29523 | − | 0.747803i | ||||
\(33\) | 2.36556 | + | 0.248630i | 0.411791 | + | 0.0432810i | ||||
\(34\) | 3.76743 | − | 11.5950i | 0.646109 | − | 1.98852i | ||||
\(35\) | 4.23861 | + | 4.12725i | 0.716455 | + | 0.697633i | ||||
\(36\) | 1.45120 | + | 4.46635i | 0.241867 | + | 0.744391i | ||||
\(37\) | 0.434165 | + | 2.04259i | 0.0713763 | + | 0.335799i | 0.999318 | − | 0.0369263i | \(-0.0117567\pi\) |
−0.927942 | + | 0.372725i | \(0.878423\pi\) | |||||||
\(38\) | −5.62044 | + | 5.06067i | −0.911756 | + | 0.820948i | ||||
\(39\) | 1.95846 | + | 0.416284i | 0.313605 | + | 0.0666588i | ||||
\(40\) | 10.5137 | + | 11.5261i | 1.66236 | + | 1.82244i | ||||
\(41\) | 0.548241 | − | 1.68731i | 0.0856208 | − | 0.263514i | −0.899075 | − | 0.437794i | \(-0.855760\pi\) |
0.984696 | + | 0.174280i | \(0.0557599\pi\) | |||||||
\(42\) | −6.37471 | + | 2.49728i | −0.983640 | + | 0.385338i | ||||
\(43\) | − | 5.86788i | − | 0.894844i | −0.894323 | − | 0.447422i | \(-0.852342\pi\) | ||
0.894323 | − | 0.447422i | \(-0.147658\pi\) | |||||||
\(44\) | −1.16762 | + | 11.1091i | −0.176025 | + | 1.67477i | ||||
\(45\) | −0.0144379 | − | 2.23602i | −0.00215227 | − | 0.333326i | ||||
\(46\) | −2.19867 | − | 20.9190i | −0.324177 | − | 3.08434i | ||||
\(47\) | 4.58434 | − | 10.2966i | 0.668695 | − | 1.50191i | −0.185874 | − | 0.982574i | \(-0.559512\pi\) |
0.854568 | − | 0.519339i | \(-0.173822\pi\) | |||||||
\(48\) | −8.23793 | + | 2.67666i | −1.18904 | + | 0.386343i | ||||
\(49\) | −2.93453 | − | 6.35520i | −0.419218 | − | 0.907886i | ||||
\(50\) | −5.41476 | − | 11.7510i | −0.765763 | − | 1.66184i | ||||
\(51\) | −2.35569 | − | 4.08018i | −0.329863 | − | 0.571340i | ||||
\(52\) | −1.95495 | + | 9.19732i | −0.271103 | + | 1.27544i | ||||
\(53\) | 4.14423 | − | 0.435576i | 0.569254 | − | 0.0598310i | 0.184471 | − | 0.982838i | \(-0.440943\pi\) |
0.384783 | + | 0.923007i | \(0.374276\pi\) | |||||||
\(54\) | 2.36398 | + | 1.05251i | 0.321697 | + | 0.143229i | ||||
\(55\) | 2.13189 | − | 4.87273i | 0.287464 | − | 0.657039i | ||||
\(56\) | −6.73315 | − | 17.1875i | −0.899755 | − | 2.29677i | ||||
\(57\) | 2.92269i | 0.387120i | ||||||||
\(58\) | −19.0018 | − | 1.99717i | −2.49506 | − | 0.262241i | ||||
\(59\) | −1.40731 | − | 1.56298i | −0.183217 | − | 0.203483i | 0.644539 | − | 0.764571i | \(-0.277049\pi\) |
−0.827756 | + | 0.561089i | \(0.810383\pi\) | |||||||
\(60\) | 10.5008 | − | 0.0678032i | 1.35565 | − | 0.00875335i | ||||
\(61\) | −8.73722 | + | 9.70366i | −1.11869 | + | 1.24243i | −0.151473 | + | 0.988461i | \(0.548402\pi\) |
−0.967213 | + | 0.253966i | \(0.918265\pi\) | |||||||
\(62\) | 23.7158 | + | 7.70574i | 3.01191 | + | 0.978630i | ||||
\(63\) | −0.931204 | + | 2.47646i | −0.117321 | + | 0.312005i | ||||
\(64\) | −1.41200 | − | 4.34567i | −0.176499 | − | 0.543209i | ||||
\(65\) | 2.21346 | − | 3.89164i | 0.274546 | − | 0.482699i | ||||
\(66\) | 4.11855 | + | 4.57412i | 0.506959 | + | 0.563035i | ||||
\(67\) | 3.30558 | + | 7.42446i | 0.403841 | + | 0.907042i | 0.994943 | + | 0.100445i | \(0.0320266\pi\) |
−0.591101 | + | 0.806597i | \(0.701307\pi\) | |||||||
\(68\) | 19.1613 | − | 11.0628i | 2.32365 | − | 1.34156i | ||||
\(69\) | −6.57612 | − | 4.77783i | −0.791672 | − | 0.575183i | ||||
\(70\) | 1.00461 | + | 15.2760i | 0.120074 | + | 1.82584i | ||||
\(71\) | 0.106857 | − | 0.0776359i | 0.0126816 | − | 0.00921369i | −0.581426 | − | 0.813599i | \(-0.697505\pi\) |
0.594108 | + | 0.804385i | \(0.297505\pi\) | |||||||
\(72\) | −2.83778 | + | 6.37376i | −0.334436 | + | 0.751155i | ||||
\(73\) | −1.15893 | + | 5.45232i | −0.135642 | + | 0.638146i | 0.856822 | + | 0.515612i | \(0.172435\pi\) |
−0.992464 | + | 0.122534i | \(0.960898\pi\) | |||||||
\(74\) | −2.70184 | + | 4.67973i | −0.314083 | + | 0.544007i | ||||
\(75\) | −4.77484 | − | 1.48355i | −0.551351 | − | 0.171306i | ||||
\(76\) | −13.7255 | −1.57443 | ||||||||
\(77\) | −4.41934 | + | 4.48032i | −0.503630 | + | 0.510580i | ||||
\(78\) | 3.04539 | + | 4.19162i | 0.344823 | + | 0.474608i | ||||
\(79\) | −9.72491 | − | 4.32981i | −1.09414 | − | 0.487142i | −0.221327 | − | 0.975200i | \(-0.571039\pi\) |
−0.872811 | + | 0.488058i | \(0.837705\pi\) | |||||||
\(80\) | 0.125059 | + | 19.3681i | 0.0139820 | + | 2.16542i | ||||
\(81\) | 0.913545 | − | 0.406737i | 0.101505 | − | 0.0451930i | ||||
\(82\) | 3.97588 | − | 2.29548i | 0.439063 | − | 0.253493i | ||||
\(83\) | 6.24896 | − | 8.60095i | 0.685912 | − | 0.944077i | −0.314074 | − | 0.949399i | \(-0.601694\pi\) |
0.999986 | + | 0.00532133i | \(0.00169384\pi\) | |||||||
\(84\) | −11.6299 | − | 4.37312i | −1.26893 | − | 0.477146i | ||||
\(85\) | −10.2904 | + | 2.25684i | −1.11615 | + | 0.244788i | ||||
\(86\) | 10.1603 | − | 11.2842i | 1.09561 | − | 1.21680i | ||||
\(87\) | −5.48706 | + | 4.94057i | −0.588274 | + | 0.529684i | ||||
\(88\) | −12.3327 | + | 11.1044i | −1.31467 | + | 1.18374i | ||||
\(89\) | −3.61063 | + | 4.01001i | −0.382726 | + | 0.425060i | −0.903469 | − | 0.428653i | \(-0.858988\pi\) |
0.520743 | + | 0.853713i | \(0.325655\pi\) | |||||||
\(90\) | 3.84393 | − | 4.32495i | 0.405186 | − | 0.455890i | ||||
\(91\) | −4.09388 | + | 3.36187i | −0.429155 | + | 0.352420i | ||||
\(92\) | 22.4376 | − | 30.8828i | 2.33929 | − | 3.21975i | ||||
\(93\) | 8.34543 | − | 4.81823i | 0.865380 | − | 0.499628i | ||||
\(94\) | 26.6445 | − | 11.8629i | 2.74817 | − | 1.22356i | ||||
\(95\) | 6.22838 | + | 1.97935i | 0.639018 | + | 0.203078i | ||||
\(96\) | −7.72898 | − | 3.44116i | −0.788836 | − | 0.351212i | ||||
\(97\) | −4.22591 | − | 5.81646i | −0.429076 | − | 0.590572i | 0.538665 | − | 0.842520i | \(-0.318929\pi\) |
−0.967741 | + | 0.251948i | \(0.918929\pi\) | |||||||
\(98\) | 5.36089 | − | 17.3024i | 0.541531 | − | 1.74781i | ||||
\(99\) | 2.37859 | 0.239057 | ||||||||
\(100\) | 6.96704 | − | 22.4236i | 0.696704 | − | 2.24236i | ||||
\(101\) | −3.66887 | + | 6.35467i | −0.365066 | + | 0.632313i | −0.988787 | − | 0.149334i | \(-0.952287\pi\) |
0.623721 | + | 0.781647i | \(0.285620\pi\) | |||||||
\(102\) | 2.53479 | − | 11.9253i | 0.250982 | − | 1.18078i | ||||
\(103\) | −1.87567 | + | 4.21282i | −0.184815 | + | 0.415102i | −0.982064 | − | 0.188550i | \(-0.939621\pi\) |
0.797248 | + | 0.603651i | \(0.206288\pi\) | |||||||
\(104\) | −11.3014 | + | 8.21098i | −1.10820 | + | 0.805153i | ||||
\(105\) | 4.64680 | + | 3.66159i | 0.453481 | + | 0.357335i | ||||
\(106\) | 8.72371 | + | 6.33815i | 0.847321 | + | 0.615615i | ||||
\(107\) | 4.16738 | − | 2.40604i | 0.402876 | − | 0.232601i | −0.284848 | − | 0.958573i | \(-0.591943\pi\) |
0.687724 | + | 0.725972i | \(0.258610\pi\) | |||||||
\(108\) | 1.91012 | + | 4.29019i | 0.183801 | + | 0.412824i | ||||
\(109\) | 1.29182 | + | 1.43471i | 0.123734 | + | 0.137420i | 0.801828 | − | 0.597554i | \(-0.203861\pi\) |
−0.678095 | + | 0.734974i | \(0.737194\pi\) | |||||||
\(110\) | 12.5369 | − | 5.67906i | 1.19535 | − | 0.541477i | ||||
\(111\) | 0.645295 | + | 1.98601i | 0.0612487 | + | 0.188504i | ||||
\(112\) | 8.06597 | − | 21.4508i | 0.762163 | − | 2.02691i | ||||
\(113\) | 15.0592 | + | 4.89302i | 1.41665 | + | 0.460296i | 0.914535 | − | 0.404506i | \(-0.132557\pi\) |
0.502112 | + | 0.864803i | \(0.332557\pi\) | |||||||
\(114\) | −5.06067 | + | 5.62044i | −0.473975 | + | 0.526402i | ||||
\(115\) | −14.6354 | + | 10.7783i | −1.36475 | + | 1.00508i | ||||
\(116\) | −23.2019 | − | 25.7683i | −2.15424 | − | 2.39253i | ||||
\(117\) | 1.99125 | + | 0.209288i | 0.184091 | + | 0.0193487i | ||||
\(118\) | − | 5.44244i | − | 0.501018i | ||||||
\(119\) | 12.3248 | + | 1.86557i | 1.12981 | + | 0.171017i | ||||
\(120\) | 11.6609 | + | 10.3640i | 1.06449 | + | 0.946098i | ||||
\(121\) | −4.88044 | − | 2.17291i | −0.443676 | − | 0.197537i | ||||
\(122\) | −33.6040 | + | 3.53192i | −3.04236 | + | 0.319765i | ||||
\(123\) | 0.368865 | − | 1.73538i | 0.0332595 | − | 0.156474i | ||||
\(124\) | 22.6274 | + | 39.1918i | 2.03200 | + | 3.51952i | ||||
\(125\) | −6.39521 | + | 9.17068i | −0.572005 | + | 0.820250i | ||||
\(126\) | −6.07876 | + | 3.14993i | −0.541539 | + | 0.280619i | ||||
\(127\) | −3.70660 | + | 1.20435i | −0.328908 | + | 0.106869i | −0.468816 | − | 0.883296i | \(-0.655319\pi\) |
0.139908 | + | 0.990164i | \(0.455319\pi\) | |||||||
\(128\) | −2.07307 | + | 4.65619i | −0.183235 | + | 0.411553i | ||||
\(129\) | −0.613361 | − | 5.83574i | −0.0540034 | − | 0.513808i | ||||
\(130\) | 10.9950 | − | 3.65114i | 0.964325 | − | 0.320226i | ||||
\(131\) | 0.333613 | − | 3.17411i | 0.0291479 | − | 0.277324i | −0.970234 | − | 0.242169i | \(-0.922141\pi\) |
0.999382 | − | 0.0351543i | \(-0.0111923\pi\) | |||||||
\(132\) | 11.1703i | 0.972253i | ||||||||
\(133\) | −6.04265 | − | 4.82506i | −0.523964 | − | 0.418386i | ||||
\(134\) | −6.49877 | + | 20.0012i | −0.561408 | + | 1.72784i | ||||
\(135\) | −0.248087 | − | 2.22226i | −0.0213519 | − | 0.191262i | ||||
\(136\) | 32.1528 | + | 6.83429i | 2.75708 | + | 0.586036i | ||||
\(137\) | −4.69837 | + | 4.23043i | −0.401409 | + | 0.361430i | −0.844970 | − | 0.534814i | \(-0.820382\pi\) |
0.443561 | + | 0.896244i | \(0.353715\pi\) | |||||||
\(138\) | −4.37326 | − | 20.5746i | −0.372277 | − | 1.75142i | ||||
\(139\) | 4.87901 | + | 15.0161i | 0.413832 | + | 1.27365i | 0.913291 | + | 0.407307i | \(0.133532\pi\) |
−0.499459 | + | 0.866338i | \(0.666468\pi\) | |||||||
\(140\) | −17.1955 | + | 21.8223i | −1.45329 | + | 1.84432i | ||||
\(141\) | 3.48294 | − | 10.7194i | 0.293316 | − | 0.902735i | ||||
\(142\) | 0.339917 | + | 0.0357267i | 0.0285252 | + | 0.00299812i | ||||
\(143\) | 4.12440 | + | 2.38122i | 0.344900 | + | 0.199128i | ||||
\(144\) | −7.91301 | + | 3.52310i | −0.659418 | + | 0.293592i | ||||
\(145\) | 6.81253 | + | 15.0391i | 0.565750 | + | 1.24893i | ||||
\(146\) | −11.6694 | + | 8.47832i | −0.965767 | + | 0.701671i | ||||
\(147\) | −3.58275 | − | 6.01364i | −0.295500 | − | 0.495997i | ||||
\(148\) | −9.32671 | + | 3.03043i | −0.766651 | + | 0.249100i | ||||
\(149\) | 10.6921 | + | 18.5192i | 0.875929 | + | 1.51715i | 0.855770 | + | 0.517356i | \(0.173084\pi\) |
0.0201586 | + | 0.999797i | \(0.493583\pi\) | |||||||
\(150\) | −6.61341 | − | 11.1206i | −0.539983 | − | 0.907993i | ||||
\(151\) | −1.17736 | + | 2.03925i | −0.0958122 | + | 0.165952i | −0.909947 | − | 0.414724i | \(-0.863878\pi\) |
0.814135 | + | 0.580676i | \(0.197211\pi\) | |||||||
\(152\) | −15.1538 | − | 13.6446i | −1.22914 | − | 1.10672i | ||||
\(153\) | −2.76929 | − | 3.81159i | −0.223883 | − | 0.308149i | ||||
\(154\) | −16.2563 | + | 0.963700i | −1.30997 | + | 0.0776571i | ||||
\(155\) | −4.61604 | − | 21.0476i | −0.370769 | − | 1.69058i | ||||
\(156\) | −0.982860 | + | 9.35128i | −0.0786917 | + | 0.748702i | ||||
\(157\) | −14.6820 | − | 8.47665i | −1.17175 | − | 0.676510i | −0.217658 | − | 0.976025i | \(-0.569842\pi\) |
−0.954092 | + | 0.299515i | \(0.903175\pi\) | |||||||
\(158\) | −11.2043 | − | 25.1652i | −0.891362 | − | 2.00203i | ||||
\(159\) | 4.07600 | − | 0.866380i | 0.323248 | − | 0.0687084i | ||||
\(160\) | −12.5676 | + | 14.1403i | −0.993558 | + | 1.11789i | ||||
\(161\) | 20.7346 | − | 5.70840i | 1.63412 | − | 0.449885i | ||||
\(162\) | 2.46105 | + | 0.799644i | 0.193358 | + | 0.0628259i | ||||
\(163\) | 2.25397 | + | 10.6041i | 0.176544 | + | 0.830575i | 0.973884 | + | 0.227045i | \(0.0729065\pi\) |
−0.797340 | + | 0.603530i | \(0.793760\pi\) | |||||||
\(164\) | 8.14966 | + | 1.73226i | 0.636382 | + | 0.135267i | ||||
\(165\) | 1.61087 | − | 5.06888i | 0.125406 | − | 0.394612i | ||||
\(166\) | 26.9096 | − | 5.71981i | 2.08859 | − | 0.443944i | ||||
\(167\) | −4.96719 | + | 6.83675i | −0.384373 | + | 0.529043i | −0.956736 | − | 0.290956i | \(-0.906027\pi\) |
0.572364 | + | 0.820000i | \(0.306027\pi\) | |||||||
\(168\) | −8.49284 | − | 16.3895i | −0.655237 | − | 1.26448i | ||||
\(169\) | −7.27398 | − | 5.28486i | −0.559537 | − | 0.406528i | ||||
\(170\) | −23.6966 | − | 13.4780i | −1.81744 | − | 1.03371i | ||||
\(171\) | 0.305504 | + | 2.90668i | 0.0233625 | + | 0.222279i | ||||
\(172\) | 27.4058 | − | 2.88046i | 2.08967 | − | 0.219633i | ||||
\(173\) | 2.78886 | + | 2.51110i | 0.212033 | + | 0.190916i | 0.768303 | − | 0.640086i | \(-0.221101\pi\) |
−0.556270 | + | 0.831002i | \(0.687768\pi\) | |||||||
\(174\) | −19.1065 | −1.44846 | ||||||||
\(175\) | 10.9500 | − | 7.42277i | 0.827742 | − | 0.561109i | ||||
\(176\) | −20.6030 | −1.55301 | ||||||||
\(177\) | −1.56298 | − | 1.40731i | −0.117481 | − | 0.105780i | ||||
\(178\) | −13.8867 | + | 1.45956i | −1.04086 | + | 0.109398i | ||||
\(179\) | 1.93875 | + | 18.4460i | 0.144909 | + | 1.37872i | 0.789294 | + | 0.614015i | \(0.210447\pi\) |
−0.644386 | + | 0.764701i | \(0.722887\pi\) | |||||||
\(180\) | 10.4362 | − | 1.16506i | 0.777867 | − | 0.0868387i | ||||
\(181\) | −2.76025 | − | 2.00544i | −0.205167 | − | 0.149063i | 0.480457 | − | 0.877018i | \(-0.340471\pi\) |
−0.685625 | + | 0.727955i | \(0.740471\pi\) | |||||||
\(182\) | −13.6938 | − | 0.623599i | −1.01505 | − | 0.0462242i | ||||
\(183\) | −7.67505 | + | 10.5638i | −0.567356 | + | 0.780898i | ||||
\(184\) | 55.4731 | − | 11.7912i | 4.08953 | − | 0.869256i | ||||
\(185\) | 4.66930 | − | 0.0301495i | 0.343294 | − | 0.00221663i | ||||
\(186\) | 24.3914 | + | 5.18455i | 1.78846 | + | 0.380150i | ||||
\(187\) | −2.32996 | − | 10.9616i | −0.170383 | − | 0.801590i | ||||
\(188\) | 50.3403 | + | 16.3566i | 3.67145 | + | 1.19293i | ||||
\(189\) | −0.667243 | + | 2.56023i | −0.0485348 | + | 0.186229i | ||||
\(190\) | 8.55013 | + | 14.5909i | 0.620292 | + | 1.05853i | ||||
\(191\) | −23.1330 | + | 4.91707i | −1.67385 | + | 0.355787i | −0.944539 | − | 0.328400i | \(-0.893490\pi\) |
−0.729307 | + | 0.684187i | \(0.760157\pi\) | |||||||
\(192\) | −1.85851 | − | 4.17427i | −0.134126 | − | 0.301252i | ||||
\(193\) | 16.4640 | + | 9.50548i | 1.18510 | + | 0.684219i | 0.957189 | − | 0.289462i | \(-0.0934765\pi\) |
0.227913 | + | 0.973682i | \(0.426810\pi\) | |||||||
\(194\) | 1.94469 | − | 18.5025i | 0.139620 | − | 1.32840i | ||||
\(195\) | 1.79455 | − | 4.10170i | 0.128510 | − | 0.293729i | ||||
\(196\) | 28.2412 | − | 16.8253i | 2.01723 | − | 1.20181i | ||||
\(197\) | −11.4071 | − | 15.7006i | −0.812724 | − | 1.11862i | −0.990897 | − | 0.134619i | \(-0.957019\pi\) |
0.178174 | − | 0.983999i | \(-0.442981\pi\) | |||||||
\(198\) | 4.57412 | + | 4.11855i | 0.325068 | + | 0.292693i | ||||
\(199\) | −1.29272 | + | 2.23906i | −0.0916388 | + | 0.158723i | −0.908201 | − | 0.418535i | \(-0.862544\pi\) |
0.816562 | + | 0.577258i | \(0.195877\pi\) | |||||||
\(200\) | 29.9833 | − | 17.8310i | 2.12014 | − | 1.26085i | ||||
\(201\) | 4.06354 | + | 7.03826i | 0.286620 | + | 0.496441i | ||||
\(202\) | −18.0585 | + | 5.86757i | −1.27059 | + | 0.412841i | ||||
\(203\) | −1.15604 | − | 19.5008i | −0.0811383 | − | 1.36869i | ||||
\(204\) | 17.9000 | − | 13.0051i | 1.25325 | − | 0.910540i | ||||
\(205\) | −3.44835 | − | 1.96133i | −0.240843 | − | 0.136985i | ||||
\(206\) | −10.9015 | + | 4.85367i | −0.759545 | + | 0.338171i | ||||
\(207\) | −7.03952 | − | 4.06427i | −0.489280 | − | 0.282486i | ||||
\(208\) | −17.2479 | − | 1.81283i | −1.19593 | − | 0.125697i | ||||
\(209\) | −2.14825 | + | 6.61163i | −0.148598 | + | 0.457336i | ||||
\(210\) | 2.59589 | + | 15.0874i | 0.179133 | + | 1.04113i | ||||
\(211\) | 0.172526 | + | 0.530980i | 0.0118772 | + | 0.0365542i | 0.956819 | − | 0.290683i | \(-0.0938825\pi\) |
−0.944942 | + | 0.327237i | \(0.893882\pi\) | |||||||
\(212\) | 4.06869 | + | 19.1417i | 0.279439 | + | 1.31466i | ||||
\(213\) | 0.0981561 | − | 0.0883802i | 0.00672555 | − | 0.00605571i | ||||
\(214\) | 12.1801 | + | 2.58896i | 0.832615 | + | 0.176978i | ||||
\(215\) | −12.8516 | − | 2.64508i | −0.876472 | − | 0.180393i | ||||
\(216\) | −2.15600 | + | 6.63547i | −0.146697 | + | 0.451487i | ||||
\(217\) | −3.81576 | + | 25.2085i | −0.259030 | + | 1.71127i | ||||
\(218\) | 4.99579i | 0.338357i | ||||||||
\(219\) | −0.582655 | + | 5.54360i | −0.0393722 | + | 0.374601i | ||||
\(220\) | 23.8045 | + | 7.56497i | 1.60490 | + | 0.510030i | ||||
\(221\) | −0.986039 | − | 9.38154i | −0.0663282 | − | 0.631070i | ||||
\(222\) | −2.19788 | + | 4.93651i | −0.147512 | + | 0.331317i | ||||
\(223\) | 23.6766 | − | 7.69300i | 1.58550 | − | 0.515161i | 0.622036 | − | 0.782989i | \(-0.286306\pi\) |
0.963467 | + | 0.267827i | \(0.0863057\pi\) | |||||||
\(224\) | 19.8743 | − | 10.2986i | 1.32791 | − | 0.688106i | ||||
\(225\) | −4.90375 | − | 0.976316i | −0.326917 | − | 0.0650877i | ||||
\(226\) | 20.4870 | + | 35.4845i | 1.36278 | + | 2.36040i | ||||
\(227\) | 5.91370 | − | 27.8218i | 0.392506 | − | 1.84659i | −0.126694 | − | 0.991942i | \(-0.540437\pi\) |
0.519200 | − | 0.854653i | \(-0.326230\pi\) | |||||||
\(228\) | −13.6503 | + | 1.43471i | −0.904016 | + | 0.0950159i | ||||
\(229\) | 5.18249 | + | 2.30739i | 0.342468 | + | 0.152477i | 0.570762 | − | 0.821116i | \(-0.306648\pi\) |
−0.228294 | + | 0.973592i | \(0.573315\pi\) | |||||||
\(230\) | −46.8070 | − | 4.61426i | −3.08636 | − | 0.304255i | ||||
\(231\) | −3.92681 | + | 4.91773i | −0.258365 | + | 0.323563i | ||||
\(232\) | − | 51.5147i | − | 3.38211i | ||||||
\(233\) | 8.99850 | + | 0.945780i | 0.589511 | + | 0.0619601i | 0.394588 | − | 0.918858i | \(-0.370887\pi\) |
0.194924 | + | 0.980818i | \(0.437554\pi\) | |||||||
\(234\) | 3.46685 | + | 3.85033i | 0.226635 | + | 0.251704i | ||||
\(235\) | −20.4847 | − | 14.6819i | −1.33627 | − | 0.957739i | ||||
\(236\) | 6.60902 | − | 7.34006i | 0.430211 | − | 0.477797i | ||||
\(237\) | −10.1242 | − | 3.28956i | −0.657639 | − | 0.213680i | ||||
\(238\) | 20.4707 | + | 24.9280i | 1.32692 | + | 1.61584i | ||||
\(239\) | −1.54596 | − | 4.75797i | −0.0999997 | − | 0.307767i | 0.888525 | − | 0.458829i | \(-0.151731\pi\) |
−0.988524 | + | 0.151061i | \(0.951731\pi\) | |||||||
\(240\) | 2.14889 | + | 19.2489i | 0.138711 | + | 1.24251i | ||||
\(241\) | 1.25216 | + | 1.39066i | 0.0806587 | + | 0.0895805i | 0.782123 | − | 0.623124i | \(-0.214137\pi\) |
−0.701464 | + | 0.712704i | \(0.747470\pi\) | |||||||
\(242\) | −5.62284 | − | 12.6291i | −0.361450 | − | 0.811830i | ||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | −49.6097 | − | 36.0435i | −3.17593 | − | 2.30745i | ||||
\(245\) | −15.2417 | + | 3.56234i | −0.973757 | + | 0.227589i | ||||
\(246\) | 3.71416 | − | 2.69850i | 0.236806 | − | 0.172050i | ||||
\(247\) | −2.38016 | + | 5.34593i | −0.151446 | + | 0.340154i | ||||
\(248\) | −13.9786 | + | 65.7640i | −0.887639 | + | 4.17602i | ||||
\(249\) | 5.31568 | − | 9.20703i | 0.336868 | − | 0.583472i | ||||
\(250\) | −28.1773 | + | 6.56218i | −1.78209 | + | 0.415029i | ||||
\(251\) | 18.6506 | 1.17722 | 0.588608 | − | 0.808418i | \(-0.299676\pi\) | ||||
0.588608 | + | 0.808418i | \(0.299676\pi\) | |||||||
\(252\) | −12.0234 | − | 3.13350i | −0.757400 | − | 0.197392i | ||||
\(253\) | −11.3645 | − | 15.6419i | −0.714480 | − | 0.983398i | ||||
\(254\) | −9.21328 | − | 4.10201i | −0.578092 | − | 0.257383i | ||||
\(255\) | −9.99814 | + | 3.32012i | −0.626108 | + | 0.207914i | ||||
\(256\) | −20.3974 | + | 9.08150i | −1.27484 | + | 0.567594i | ||||
\(257\) | −5.58652 | + | 3.22538i | −0.348478 | + | 0.201194i | −0.664015 | − | 0.747720i | \(-0.731149\pi\) |
0.315537 | + | 0.948913i | \(0.397815\pi\) | |||||||
\(258\) | 8.92512 | − | 12.2844i | 0.555654 | − | 0.764792i | ||||
\(259\) | −5.17139 | − | 1.94456i | −0.321335 | − | 0.120829i | ||||
\(260\) | 19.2624 | + | 8.42756i | 1.19460 | + | 0.522655i | ||||
\(261\) | −4.94057 | + | 5.48706i | −0.305813 | + | 0.339640i | ||||
\(262\) | 6.13756 | − | 5.52628i | 0.379180 | − | 0.341415i | ||||
\(263\) | −19.8872 | + | 17.9065i | −1.22629 | + | 1.10416i | −0.235069 | + | 0.971979i | \(0.575532\pi\) |
−0.991225 | + | 0.132182i | \(0.957802\pi\) | |||||||
\(264\) | −11.1044 | + | 12.3327i | −0.683430 | + | 0.759026i | ||||
\(265\) | 0.914123 | − | 9.27287i | 0.0561542 | − | 0.569628i | ||||
\(266\) | −3.26560 | − | 19.7417i | −0.200227 | − | 1.21044i | ||||
\(267\) | −3.17169 | + | 4.36546i | −0.194104 | + | 0.267162i | ||||
\(268\) | −33.0531 | + | 19.0832i | −2.01904 | + | 1.16569i | ||||
\(269\) | 2.76121 | − | 1.22937i | 0.168354 | − | 0.0749560i | −0.320829 | − | 0.947137i | \(-0.603962\pi\) |
0.489183 | + | 0.872181i | \(0.337295\pi\) | |||||||
\(270\) | 3.37079 | − | 4.70306i | 0.205140 | − | 0.286219i | ||||
\(271\) | −7.10871 | − | 3.16500i | −0.431823 | − | 0.192260i | 0.179302 | − | 0.983794i | \(-0.442616\pi\) |
−0.611125 | + | 0.791534i | \(0.709283\pi\) | |||||||
\(272\) | 23.9872 | + | 33.0155i | 1.45444 | + | 2.00186i | ||||
\(273\) | −3.72004 | + | 3.77138i | −0.225147 | + | 0.228254i | ||||
\(274\) | −16.3602 | −0.988354 | ||||||||
\(275\) | −9.71107 | − | 6.86567i | −0.585600 | − | 0.414016i | ||||
\(276\) | 19.0866 | − | 33.0589i | 1.14888 | − | 1.98991i | ||||
\(277\) | −5.11696 | + | 24.0734i | −0.307448 | + | 1.44643i | 0.504859 | + | 0.863202i | \(0.331544\pi\) |
−0.812308 | + | 0.583229i | \(0.801789\pi\) | |||||||
\(278\) | −16.6179 | + | 37.3245i | −0.996677 | + | 2.23857i | ||||
\(279\) | 7.79607 | − | 5.66417i | 0.466738 | − | 0.339105i | ||||
\(280\) | −40.6785 | + | 6.99903i | −2.43100 | + | 0.418272i | ||||
\(281\) | 13.6801 | + | 9.93921i | 0.816089 | + | 0.592923i | 0.915590 | − | 0.402114i | \(-0.131725\pi\) |
−0.0995006 | + | 0.995038i | \(0.531725\pi\) | |||||||
\(282\) | 25.2585 | − | 14.5830i | 1.50412 | − | 0.868406i | ||||
\(283\) | −9.44475 | − | 21.2133i | −0.561432 | − | 1.26100i | −0.941804 | − | 0.336164i | \(-0.890870\pi\) |
0.380371 | − | 0.924834i | \(-0.375796\pi\) | |||||||
\(284\) | 0.415051 | + | 0.460960i | 0.0246287 | + | 0.0273530i | ||||
\(285\) | 6.40116 | + | 1.31747i | 0.379172 | + | 0.0780401i | ||||
\(286\) | 3.80826 | + | 11.7206i | 0.225187 | + | 0.693055i | ||||
\(287\) | 2.97892 | + | 3.62755i | 0.175840 | + | 0.214128i | ||||
\(288\) | −8.04634 | − | 2.61441i | −0.474135 | − | 0.154056i | ||||
\(289\) | −3.47760 | + | 3.86227i | −0.204565 | + | 0.227192i | ||||
\(290\) | −12.9396 | + | 40.7167i | −0.759840 | + | 2.39097i | ||||
\(291\) | −4.81074 | − | 5.34287i | −0.282011 | − | 0.313205i | ||||
\(292\) | −26.0338 | − | 2.73626i | −1.52351 | − | 0.160128i | ||||
\(293\) | − | 8.75186i | − | 0.511289i | −0.966771 | − | 0.255645i | \(-0.917712\pi\) | ||
0.966771 | − | 0.255645i | \(-0.0822877\pi\) | |||||||
\(294\) | 3.52292 | − | 17.7680i | 0.205461 | − | 1.03625i | ||||
\(295\) | −4.05756 | + | 2.37769i | −0.236240 | + | 0.138435i | ||||
\(296\) | −13.3098 | − | 5.92591i | −0.773617 | − | 0.344436i | ||||
\(297\) | 2.36556 | − | 0.248630i | 0.137264 | − | 0.0144270i | ||||
\(298\) | −11.5050 | + | 54.1266i | −0.666464 | + | 3.13547i | ||||
\(299\) | −8.13753 | − | 14.0946i | −0.470606 | − | 0.815113i | ||||
\(300\) | 4.58497 | − | 23.0290i | 0.264713 | − | 1.32958i | ||||
\(301\) | 13.0780 | + | 8.36608i | 0.753801 | + | 0.482213i | ||||
\(302\) | −5.79508 | + | 1.88294i | −0.333470 | + | 0.108351i | ||||
\(303\) | −2.98453 | + | 6.70336i | −0.171457 | + | 0.385098i | ||||
\(304\) | −2.64624 | − | 25.1773i | −0.151772 | − | 1.44402i | ||||
\(305\) | 17.3141 | + | 23.5101i | 0.991402 | + | 1.34618i | ||||
\(306\) | 1.27438 | − | 12.1249i | 0.0728512 | − | 0.693133i | ||||
\(307\) | 20.4521i | 1.16726i | 0.812020 | + | 0.583630i | \(0.198368\pi\) | ||||
−0.812020 | + | 0.583630i | \(0.801632\pi\) | |||||||
\(308\) | −23.0946 | − | 18.4411i | −1.31594 | − | 1.05078i | ||||
\(309\) | −1.42503 | + | 4.38580i | −0.0810674 | + | 0.249500i | ||||
\(310\) | 27.5673 | − | 48.4679i | 1.56571 | − | 2.75279i | ||||
\(311\) | 3.87861 | + | 0.824424i | 0.219936 | + | 0.0467488i | 0.316561 | − | 0.948572i | \(-0.397472\pi\) |
−0.0966257 | + | 0.995321i | \(0.530805\pi\) | |||||||
\(312\) | −10.3813 | + | 9.34732i | −0.587723 | + | 0.529188i | ||||
\(313\) | −4.20849 | − | 19.7994i | −0.237878 | − | 1.11913i | −0.921224 | − | 0.389033i | \(-0.872809\pi\) |
0.683346 | − | 0.730095i | \(-0.260524\pi\) | |||||||
\(314\) | −13.5566 | − | 41.7229i | −0.765043 | − | 2.35456i | ||||
\(315\) | 5.00409 | + | 3.15581i | 0.281948 | + | 0.177810i | ||||
\(316\) | 15.4484 | − | 47.5453i | 0.869041 | − | 2.67463i | ||||
\(317\) | −4.38631 | − | 0.461020i | −0.246360 | − | 0.0258935i | −0.0194564 | − | 0.999811i | \(-0.506194\pi\) |
−0.226904 | + | 0.973917i | \(0.572860\pi\) | |||||||
\(318\) | 9.33844 | + | 5.39155i | 0.523673 | + | 0.302343i | ||||
\(319\) | −16.0441 | + | 7.14330i | −0.898298 | + | 0.399948i | ||||
\(320\) | −10.1542 | + | 1.13359i | −0.567638 | + | 0.0633694i | ||||
\(321\) | 3.89305 | − | 2.82847i | 0.217289 | − | 0.157870i | ||||
\(322\) | 49.7576 | + | 24.9248i | 2.77288 | + | 1.38900i | ||||
\(323\) | 13.0960 | − | 4.25514i | 0.728680 | − | 0.236762i | ||||
\(324\) | 2.34810 | + | 4.06703i | 0.130450 | + | 0.225946i | ||||
\(325\) | −7.52556 | − | 6.60209i | −0.417443 | − | 0.366218i | ||||
\(326\) | −14.0266 | + | 24.2948i | −0.776862 | + | 1.34556i | ||||
\(327\) | 1.43471 | + | 1.29182i | 0.0793395 | + | 0.0714376i | ||||
\(328\) | 7.27568 | + | 10.0141i | 0.401732 | + | 0.552937i | ||||
\(329\) | 16.4123 | + | 24.8976i | 0.904840 | + | 1.37265i | ||||
\(330\) | 11.8746 | − | 6.95841i | 0.653674 | − | 0.383048i | ||||
\(331\) | −1.82229 | + | 17.3379i | −0.100162 | + | 0.952978i | 0.822864 | + | 0.568239i | \(0.192375\pi\) |
−0.923026 | + | 0.384739i | \(0.874292\pi\) | |||||||
\(332\) | 43.2380 | + | 24.9635i | 2.37299 | + | 1.37005i | ||||
\(333\) | 0.849355 | + | 1.90768i | 0.0465444 | + | 0.104540i | ||||
\(334\) | −21.3900 | + | 4.54658i | −1.17041 | + | 0.248778i | ||||
\(335\) | 17.7508 | − | 3.89301i | 0.969831 | − | 0.212698i | ||||
\(336\) | 5.77957 | − | 22.1764i | 0.315301 | − | 1.20982i | ||||
\(337\) | −20.5012 | − | 6.66123i | −1.11677 | − | 0.362861i | −0.308236 | − | 0.951310i | \(-0.599739\pi\) |
−0.808534 | + | 0.588449i | \(0.799739\pi\) | |||||||
\(338\) | −4.83735 | − | 22.7579i | −0.263117 | − | 1.23787i | ||||
\(339\) | 15.4881 | + | 3.29210i | 0.841199 | + | 0.178802i | ||||
\(340\) | −15.5919 | − | 46.9532i | −0.845590 | − | 2.54640i | ||||
\(341\) | 22.4203 | − | 4.76559i | 1.21413 | − | 0.258071i | ||||
\(342\) | −4.44545 | + | 6.11863i | −0.240382 | + | 0.330858i | ||||
\(343\) | 18.3479 | + | 2.52058i | 0.990695 | + | 0.136098i | ||||
\(344\) | 33.1211 | + | 24.0639i | 1.78577 | + | 1.29744i | ||||
\(345\) | −13.4286 | + | 12.2490i | −0.722969 | + | 0.659467i | ||||
\(346\) | 1.01508 | + | 9.65789i | 0.0545713 | + | 0.519211i | ||||
\(347\) | 17.5860 | − | 1.84837i | 0.944068 | − | 0.0992255i | 0.380030 | − | 0.924974i | \(-0.375914\pi\) |
0.564038 | + | 0.825749i | \(0.309247\pi\) | |||||||
\(348\) | −25.7683 | − | 23.2019i | −1.38133 | − | 1.24375i | ||||
\(349\) | 11.3893 | 0.609655 | 0.304827 | − | 0.952408i | \(-0.401401\pi\) | ||||
0.304827 | + | 0.952408i | \(0.401401\pi\) | |||||||
\(350\) | 33.9099 | + | 4.68576i | 1.81256 | + | 0.250465i | ||||
\(351\) | 2.00221 | 0.106870 | ||||||||
\(352\) | −14.9550 | − | 13.4655i | −0.797102 | − | 0.717714i | ||||
\(353\) | −18.5823 | + | 1.95308i | −0.989037 | + | 0.103952i | −0.585208 | − | 0.810883i | \(-0.698987\pi\) |
−0.403828 | + | 0.914835i | \(0.632321\pi\) | |||||||
\(354\) | −0.568890 | − | 5.41263i | −0.0302362 | − | 0.287678i | ||||
\(355\) | −0.121867 | − | 0.269029i | −0.00646803 | − | 0.0142786i | ||||
\(356\) | −20.5010 | − | 14.8949i | −1.08655 | − | 0.789427i | ||||
\(357\) | 12.4523 | + | 0.567061i | 0.659044 | + | 0.0300121i | ||||
\(358\) | −28.2111 | + | 38.8292i | −1.49100 | + | 2.05219i | ||||
\(359\) | −1.92151 | + | 0.408430i | −0.101413 | + | 0.0215561i | −0.258339 | − | 0.966054i | \(-0.583175\pi\) |
0.156925 | + | 0.987610i | \(0.449842\pi\) | |||||||
\(360\) | 12.6804 | + | 9.08831i | 0.668314 | + | 0.478996i | ||||
\(361\) | 10.2294 | + | 2.17432i | 0.538387 | + | 0.114438i | ||||
\(362\) | −1.83562 | − | 8.63592i | −0.0964781 | − | 0.453894i | ||||
\(363\) | −5.08083 | − | 1.65086i | −0.266675 | − | 0.0866478i | ||||
\(364\) | −17.7111 | − | 17.4701i | −0.928316 | − | 0.915680i | ||||
\(365\) | 11.4191 | + | 4.99599i | 0.597700 | + | 0.261502i | ||||
\(366\) | −33.0507 | + | 7.02515i | −1.72759 | + | 0.367210i | ||||
\(367\) | −8.97349 | − | 20.1548i | −0.468412 | − | 1.05207i | −0.981101 | − | 0.193497i | \(-0.938017\pi\) |
0.512689 | − | 0.858575i | \(-0.328649\pi\) | |||||||
\(368\) | 60.9754 | + | 35.2041i | 3.17856 | + | 1.83514i | ||||
\(369\) | 0.185449 | − | 1.76443i | 0.00965407 | − | 0.0918523i | ||||
\(370\) | 9.03144 | + | 8.02696i | 0.469522 | + | 0.417302i | ||||
\(371\) | −4.93781 | + | 9.85741i | −0.256358 | + | 0.511771i | ||||
\(372\) | 26.6001 | + | 36.6119i | 1.37915 | + | 1.89824i | ||||
\(373\) | −8.12249 | − | 7.31352i | −0.420566 | − | 0.378680i | 0.431500 | − | 0.902113i | \(-0.357984\pi\) |
−0.852067 | + | 0.523433i | \(0.824651\pi\) | |||||||
\(374\) | 14.4995 | − | 25.1139i | 0.749751 | − | 1.29861i | ||||
\(375\) | −5.40158 | + | 9.78892i | −0.278936 | + | 0.505498i | ||||
\(376\) | 39.3187 | + | 68.1020i | 2.02771 | + | 3.51209i | ||||
\(377\) | −14.0599 | + | 4.56835i | −0.724123 | + | 0.235282i | ||||
\(378\) | −5.71620 | + | 3.76808i | −0.294010 | + | 0.193809i | ||||
\(379\) | 30.3119 | − | 22.0229i | 1.55702 | − | 1.13124i | 0.618614 | − | 0.785695i | \(-0.287694\pi\) |
0.938403 | − | 0.345544i | \(-0.112306\pi\) | |||||||
\(380\) | −6.18709 | + | 30.0611i | −0.317391 | + | 1.54210i | ||||
\(381\) | −3.56041 | + | 1.58520i | −0.182405 | + | 0.0812121i | ||||
\(382\) | −52.9996 | − | 30.5993i | −2.71169 | − | 1.56560i | ||||
\(383\) | −9.31778 | − | 0.979338i | −0.476116 | − | 0.0500418i | −0.136569 | − | 0.990631i | \(-0.543607\pi\) |
−0.339548 | + | 0.940589i | \(0.610274\pi\) | |||||||
\(384\) | −1.57501 | + | 4.84738i | −0.0803743 | + | 0.247367i | ||||
\(385\) | 7.82051 | + | 11.6987i | 0.398570 | + | 0.596219i | ||||
\(386\) | 15.2020 | + | 46.7869i | 0.773761 | + | 2.38139i | ||||
\(387\) | −1.22000 | − | 5.73966i | −0.0620162 | − | 0.291763i | ||||
\(388\) | 25.0912 | − | 22.5922i | 1.27381 | − | 1.14694i | ||||
\(389\) | 7.34897 | + | 1.56207i | 0.372607 | + | 0.0792001i | 0.390409 | − | 0.920641i | \(-0.372333\pi\) |
−0.0178019 | + | 0.999842i | \(0.505667\pi\) | |||||||
\(390\) | 10.5531 | − | 4.78043i | 0.534378 | − | 0.242067i | ||||
\(391\) | −11.8343 | + | 36.4223i | −0.598488 | + | 1.84196i | ||||
\(392\) | 47.9061 | + | 9.49849i | 2.41962 | + | 0.479746i | ||||
\(393\) | − | 3.19160i | − | 0.160995i | ||||||
\(394\) | 5.24936 | − | 49.9443i | 0.264459 | − | 2.51616i | ||||
\(395\) | −13.8667 | + | 19.3474i | −0.697709 | + | 0.973471i | ||||
\(396\) | 1.16762 | + | 11.1091i | 0.0586750 | + | 0.558255i | ||||
\(397\) | 6.87302 | − | 15.4371i | 0.344947 | − | 0.774764i | −0.654872 | − | 0.755740i | \(-0.727277\pi\) |
0.999819 | − | 0.0190242i | \(-0.00605594\pi\) | |||||||
\(398\) | −6.36292 | + | 2.06744i | −0.318944 | + | 0.103631i | ||||
\(399\) | −6.51390 | − | 4.16700i | −0.326103 | − | 0.208611i | ||||
\(400\) | 42.4757 | + | 8.45672i | 2.12378 | + | 0.422836i | ||||
\(401\) | −11.0235 | − | 19.0933i | −0.550489 | − | 0.953475i | −0.998239 | − | 0.0593164i | \(-0.981108\pi\) |
0.447750 | − | 0.894159i | \(-0.352225\pi\) | |||||||
\(402\) | −4.37248 | + | 20.5709i | −0.218079 | + | 1.02598i | ||||
\(403\) | 19.1886 | − | 2.01680i | 0.955851 | − | 0.100464i | ||||
\(404\) | −31.4803 | − | 14.0159i | −1.56620 | − | 0.697318i | ||||
\(405\) | −0.479017 | − | 2.18416i | −0.0238026 | − | 0.108532i | ||||
\(406\) | 31.5428 | − | 39.5025i | 1.56544 | − | 1.96048i | ||||
\(407\) | 4.96702i | 0.246206i | ||||||||
\(408\) | 32.6911 | + | 3.43597i | 1.61845 | + | 0.170106i | ||||
\(409\) | 18.5199 | + | 20.5684i | 0.915750 | + | 1.01704i | 0.999788 | + | 0.0205805i | \(0.00655143\pi\) |
−0.0840386 | + | 0.996463i | \(0.526782\pi\) | |||||||
\(410\) | −3.23525 | − | 9.74256i | −0.159777 | − | 0.481151i | ||||
\(411\) | −4.23043 | + | 4.69837i | −0.208672 | + | 0.231754i | ||||
\(412\) | −20.5966 | − | 6.69224i | −1.01472 | − | 0.329703i | ||||
\(413\) | 5.48993 | − | 0.908126i | 0.270142 | − | 0.0446860i | ||||
\(414\) | −6.49993 | − | 20.0047i | −0.319454 | − | 0.983179i | ||||
\(415\) | −16.0206 | − | 17.5633i | −0.786421 | − | 0.862148i | ||||
\(416\) | −11.3348 | − | 12.5886i | −0.555734 | − | 0.617205i | ||||
\(417\) | 6.42189 | + | 14.4238i | 0.314481 | + | 0.706336i | ||||
\(418\) | −15.5793 | + | 8.99470i | −0.762007 | + | 0.439945i | ||||
\(419\) | −24.5744 | − | 17.8543i | −1.20054 | − | 0.872240i | −0.206199 | − | 0.978510i | \(-0.566109\pi\) |
−0.994337 | + | 0.106270i | \(0.966109\pi\) | |||||||
\(420\) | −14.8203 | + | 23.5002i | −0.723156 | + | 1.14669i | ||||
\(421\) | 5.25208 | − | 3.81586i | 0.255971 | − | 0.185974i | −0.452398 | − | 0.891816i | \(-0.649431\pi\) |
0.708369 | + | 0.705842i | \(0.249431\pi\) | |||||||
\(422\) | −0.587624 | + | 1.31982i | −0.0286051 | + | 0.0642480i | ||||
\(423\) | 2.34338 | − | 11.0247i | 0.113939 | − | 0.536041i | ||||
\(424\) | −14.5367 | + | 25.1783i | −0.705963 | + | 1.22276i | ||||
\(425\) | 0.304200 | + | 23.5550i | 0.0147558 | + | 1.14258i | ||||
\(426\) | 0.341789 | 0.0165597 | ||||||||
\(427\) | −9.16990 | − | 33.3079i | −0.443762 | − | 1.61188i | ||||
\(428\) | 13.2830 | + | 18.2825i | 0.642060 | + | 0.883720i | ||||
\(429\) | 4.35071 | + | 1.93706i | 0.210054 | + | 0.0935223i | ||||
\(430\) | −20.1341 | − | 27.3393i | −0.970954 | − | 1.31842i | ||||
\(431\) | 29.5417 | − | 13.1528i | 1.42297 | − | 0.633549i | 0.456363 | − | 0.889794i | \(-0.349152\pi\) |
0.966612 | + | 0.256245i | \(0.0824852\pi\) | |||||||
\(432\) | −7.50140 | + | 4.33093i | −0.360911 | + | 0.208372i | ||||
\(433\) | 15.9464 | − | 21.9484i | 0.766336 | − | 1.05477i | −0.230325 | − | 0.973114i | \(-0.573979\pi\) |
0.996661 | − | 0.0816569i | \(-0.0260212\pi\) | |||||||
\(434\) | −50.9867 | + | 41.8699i | −2.44744 | + | 2.00982i | ||||
\(435\) | 8.34722 | + | 14.2446i | 0.400219 | + | 0.682977i | ||||
\(436\) | −6.06662 | + | 6.73767i | −0.290538 | + | 0.322676i | ||||
\(437\) | 17.6550 | − | 15.8967i | 0.844554 | − | 0.760440i | ||||
\(438\) | −10.7193 | + | 9.65166i | −0.512186 | + | 0.461174i | ||||
\(439\) | −13.6095 | + | 15.1149i | −0.649546 | + | 0.721394i | −0.974513 | − | 0.224331i | \(-0.927980\pi\) |
0.324967 | + | 0.945725i | \(0.394647\pi\) | |||||||
\(440\) | 18.7612 | + | 32.0162i | 0.894407 | + | 1.52631i | ||||
\(441\) | −4.19172 | − | 5.60620i | −0.199606 | − | 0.266962i | ||||
\(442\) | 14.3480 | − | 19.7484i | 0.682466 | − | 0.939334i | ||||
\(443\) | 7.09684 | − | 4.09736i | 0.337181 | − | 0.194672i | −0.321844 | − | 0.946793i | \(-0.604303\pi\) |
0.659025 | + | 0.752121i | \(0.270969\pi\) | |||||||
\(444\) | −8.95885 | + | 3.98874i | −0.425168 | + | 0.189297i | ||||
\(445\) | 7.15500 | + | 9.71546i | 0.339179 | + | 0.460557i | ||||
\(446\) | 58.8515 | + | 26.2024i | 2.78670 | + | 1.24072i | ||||
\(447\) | 12.5693 | + | 17.3001i | 0.594507 | + | 0.818268i | ||||
\(448\) | 11.6985 | + | 3.04884i | 0.552702 | + | 0.144044i | ||||
\(449\) | 29.1862 | 1.37738 | 0.688692 | − | 0.725054i | \(-0.258185\pi\) | ||||
0.688692 | + | 0.725054i | \(0.258185\pi\) | |||||||
\(450\) | −7.73960 | − | 10.3684i | −0.364848 | − | 0.488771i | ||||
\(451\) | 2.10998 | − | 3.65460i | 0.0993552 | − | 0.172088i | ||||
\(452\) | −15.4604 | + | 72.7353i | −0.727194 | + | 3.42118i | ||||
\(453\) | −0.957751 | + | 2.15114i | −0.0449991 | + | 0.101070i | ||||
\(454\) | 59.5459 | − | 43.2626i | 2.79463 | − | 2.03042i | ||||
\(455\) | 5.51763 | + | 10.4817i | 0.258670 | + | 0.491390i | ||||
\(456\) | −16.4970 | − | 11.9858i | −0.772545 | − | 0.561287i | ||||
\(457\) | −15.8833 | + | 9.17024i | −0.742991 | + | 0.428966i | −0.823156 | − | 0.567816i | \(-0.807789\pi\) |
0.0801650 | + | 0.996782i | \(0.474455\pi\) | |||||||
\(458\) | 5.97084 | + | 13.4107i | 0.278999 | + | 0.626642i | ||||
\(459\) | −3.15253 | − | 3.50124i | −0.147148 | − | 0.163424i | ||||
\(460\) | −57.5239 | − | 63.0631i | −2.68207 | − | 2.94033i | ||||
\(461\) | 4.35107 | + | 13.3912i | 0.202650 | + | 0.623692i | 0.999802 | + | 0.0199130i | \(0.00633892\pi\) |
−0.797152 | + | 0.603779i | \(0.793661\pi\) | |||||||
\(462\) | −16.0665 | + | 2.65766i | −0.747481 | + | 0.123646i | ||||
\(463\) | 20.6277 | + | 6.70236i | 0.958652 | + | 0.311485i | 0.746226 | − | 0.665692i | \(-0.231864\pi\) |
0.212426 | + | 0.977177i | \(0.431864\pi\) | |||||||
\(464\) | 42.7945 | − | 47.5282i | 1.98669 | − | 2.20644i | ||||
\(465\) | −6.79082 | − | 20.4498i | −0.314917 | − | 0.948335i | ||||
\(466\) | 15.6668 | + | 17.3998i | 0.725751 | + | 0.806028i | ||||
\(467\) | −4.63086 | − | 0.486723i | −0.214290 | − | 0.0225228i | −0.00322517 | − | 0.999995i | \(-0.501027\pi\) |
−0.211065 | + | 0.977472i | \(0.567693\pi\) | |||||||
\(468\) | 9.40279i | 0.434644i | ||||||||
\(469\) | −21.2601 | − | 3.21808i | −0.981699 | − | 0.148597i | ||||
\(470\) | −13.9710 | − | 63.7032i | −0.644436 | − | 2.93841i | ||||
\(471\) | −15.4876 | − | 6.89553i | −0.713631 | − | 0.317729i | ||||
\(472\) | 14.5935 | − | 1.53384i | 0.671721 | − | 0.0706007i | ||||
\(473\) | 2.90188 | − | 13.6523i | 0.133429 | − | 0.627733i | ||||
\(474\) | −13.7733 | − | 23.8561i | −0.632631 | − | 1.09575i | ||||
\(475\) | 7.14269 | − | 12.7489i | 0.327729 | − | 0.584960i | ||||
\(476\) | −2.66303 | + | 58.4783i | −0.122060 | + | 2.68035i | ||||
\(477\) | 3.96311 | − | 1.28769i | 0.181458 | − | 0.0589593i | ||||
\(478\) | 5.26554 | − | 11.8266i | 0.240840 | − | 0.540935i | ||||
\(479\) | 0.997976 | + | 9.49511i | 0.0455987 | + | 0.433843i | 0.993376 | + | 0.114910i | \(0.0366578\pi\) |
−0.947777 | + | 0.318933i | \(0.896676\pi\) | |||||||
\(480\) | −11.0207 | + | 15.3765i | −0.503025 | + | 0.701839i | ||||
\(481\) | −0.437040 | + | 4.15816i | −0.0199273 | + | 0.189596i | ||||
\(482\) | 4.84242i | 0.220566i | ||||||||
\(483\) | 20.0244 | − | 7.84449i | 0.911140 | − | 0.356937i | ||||
\(484\) | 7.75278 | − | 23.8606i | 0.352399 | − | 1.08457i | ||||
\(485\) | −14.6439 | + | 6.63351i | −0.664945 | + | 0.301212i | ||||
\(486\) | 2.53115 | + | 0.538013i | 0.114815 | + | 0.0244048i | ||||
\(487\) | −2.48736 | + | 2.23963i | −0.112713 | + | 0.101487i | −0.723560 | − | 0.690261i | \(-0.757496\pi\) |
0.610847 | + | 0.791748i | \(0.290829\pi\) | |||||||
\(488\) | −18.9412 | − | 89.1112i | −0.857427 | − | 4.03387i | ||||
\(489\) | 3.35005 | + | 10.3104i | 0.151494 | + | 0.466252i | ||||
\(490\) | −35.4786 | − | 19.5407i | −1.60276 | − | 0.882757i | ||||
\(491\) | 3.90881 | − | 12.0301i | 0.176402 | − | 0.542909i | −0.823293 | − | 0.567617i | \(-0.807865\pi\) |
0.999695 | + | 0.0247075i | \(0.00786546\pi\) | |||||||
\(492\) | 8.28609 | + | 0.870903i | 0.373566 | + | 0.0392633i | ||||
\(493\) | 30.1263 | + | 17.3934i | 1.35682 | + | 0.783360i | ||||
\(494\) | −13.8337 | + | 6.15915i | −0.622406 | + | 0.277113i | ||||
\(495\) | 1.07220 | − | 5.20950i | 0.0481920 | − | 0.234149i | ||||
\(496\) | −67.5285 | + | 49.0623i | −3.03212 | + | 2.20296i | ||||
\(497\) | 0.0206801 | + | 0.348844i | 0.000927627 | + | 0.0156478i | ||||
\(498\) | 26.1643 | − | 8.50130i | 1.17245 | − | 0.380952i | ||||
\(499\) | −7.14203 | − | 12.3704i | −0.319721 | − | 0.553774i | 0.660708 | − | 0.750643i | \(-0.270256\pi\) |
−0.980430 | + | 0.196869i | \(0.936923\pi\) | |||||||
\(500\) | −45.9707 | − | 25.3669i | −2.05587 | − | 1.13444i | ||||
\(501\) | −4.22534 | + | 7.31851i | −0.188774 | + | 0.326967i | ||||
\(502\) | 35.8658 | + | 32.2937i | 1.60077 | + | 1.44134i | ||||
\(503\) | −0.385441 | − | 0.530514i | −0.0171859 | − | 0.0236544i | 0.800338 | − | 0.599550i | \(-0.204654\pi\) |
−0.817524 | + | 0.575895i | \(0.804654\pi\) | |||||||
\(504\) | −10.1595 | − | 15.4120i | −0.452540 | − | 0.686505i | ||||
\(505\) | 12.2639 | + | 10.8999i | 0.545737 | + | 0.485040i | ||||
\(506\) | 5.22975 | − | 49.7577i | 0.232491 | − | 2.21200i | ||||
\(507\) | −7.78655 | − | 4.49557i | −0.345813 | − | 0.199655i | ||||
\(508\) | −7.44439 | − | 16.7204i | −0.330292 | − | 0.741847i | ||||
\(509\) | −7.09187 | + | 1.50742i | −0.314342 | + | 0.0668154i | −0.362381 | − | 0.932030i | \(-0.618036\pi\) |
0.0480393 | + | 0.998845i | \(0.484703\pi\) | |||||||
\(510\) | −24.9756 | − | 10.9272i | −1.10594 | − | 0.483863i | ||||
\(511\) | −10.4995 | − | 10.3565i | −0.464469 | − | 0.458146i | ||||
\(512\) | −45.2549 | − | 14.7042i | −2.00000 | − | 0.649840i | ||||
\(513\) | 0.607661 | + | 2.85882i | 0.0268289 | + | 0.126220i | ||||
\(514\) | −16.3279 | − | 3.47059i | −0.720191 | − | 0.153081i | ||||
\(515\) | 8.38126 | + | 6.00704i | 0.369322 | + | 0.264702i | ||||
\(516\) | 26.9545 | − | 5.72937i | 1.18661 | − | 0.252221i | ||||
\(517\) | 15.7580 | − | 21.6891i | 0.693037 | − | 0.953884i | ||||
\(518\) | −6.57775 | − | 12.6938i | −0.289010 | − | 0.557732i | ||||
\(519\) | 3.03607 | + | 2.20583i | 0.133269 | + | 0.0968252i | ||||
\(520\) | 12.8890 | + | 28.4533i | 0.565219 | + | 1.24776i | ||||
\(521\) | −3.38185 | − | 32.1762i | −0.148162 | − | 1.40966i | −0.775711 | − | 0.631088i | \(-0.782609\pi\) |
0.627550 | − | 0.778577i | \(-0.284058\pi\) | |||||||
\(522\) | −19.0018 | + | 1.99717i | −0.831686 | + | 0.0874137i | ||||
\(523\) | 15.8808 | + | 14.2991i | 0.694419 | + | 0.625258i | 0.938817 | − | 0.344417i | \(-0.111924\pi\) |
−0.244398 | + | 0.969675i | \(0.578590\pi\) | |||||||
\(524\) | 14.9884 | 0.654770 | ||||||||
\(525\) | 10.1141 | − | 8.52670i | 0.441416 | − | 0.372136i | ||||
\(526\) | −69.2490 | −3.01940 | ||||||||
\(527\) | −33.7396 | − | 30.3793i | −1.46972 | − | 1.32334i | ||||
\(528\) | −20.4902 | + | 2.15360i | −0.891720 | + | 0.0937236i | ||||
\(529\) | 4.50236 | + | 42.8371i | 0.195755 | + | 1.86248i | ||||
\(530\) | 17.8140 | − | 16.2493i | 0.773789 | − | 0.705823i | ||||
\(531\) | −1.70152 | − | 1.23623i | −0.0738398 | − | 0.0536477i | ||||
\(532\) | 19.5690 | − | 30.5906i | 0.848425 | − | 1.32627i | ||||
\(533\) | 2.08794 | − | 2.87380i | 0.0904388 | − | 0.124478i | ||||
\(534\) | −13.6581 | + | 2.90312i | −0.591044 | + | 0.125630i | ||||
\(535\) | −3.39107 | − | 10.2118i | −0.146609 | − | 0.441495i | ||||
\(536\) | −55.4632 | − | 11.7891i | −2.39564 | − | 0.509210i | ||||
\(537\) | 3.85626 | + | 18.1423i | 0.166410 | + | 0.782896i | ||||
\(538\) | 7.43857 | + | 2.41694i | 0.320700 | + | 0.104202i | ||||
\(539\) | −3.68463 | − | 16.2373i | −0.158708 | − | 0.699391i | ||||
\(540\) | 10.2572 | − | 2.24956i | 0.441401 | − | 0.0968056i | ||||
\(541\) | −20.5408 | + | 4.36607i | −0.883117 | + | 0.187712i | −0.627080 | − | 0.778955i | \(-0.715750\pi\) |
−0.256037 | + | 0.966667i | \(0.582417\pi\) | |||||||
\(542\) | −8.19008 | − | 18.3952i | −0.351794 | − | 0.790142i | ||||
\(543\) | −2.95475 | − | 1.70593i | −0.126800 | − | 0.0732083i | ||||
\(544\) | −4.16654 | + | 39.6420i | −0.178639 | + | 1.69964i | ||||
\(545\) | 3.72455 | − | 2.18256i | 0.159542 | − | 0.0934905i | ||||
\(546\) | −13.6840 | + | 0.811209i | −0.585620 | + | 0.0347165i | ||||
\(547\) | −23.7908 | − | 32.7453i | −1.01722 | − | 1.40009i | −0.914133 | − | 0.405415i | \(-0.867127\pi\) |
−0.103090 | − | 0.994672i | \(-0.532873\pi\) | |||||||
\(548\) | −22.0645 | − | 19.8669i | −0.942547 | − | 0.848673i | ||||
\(549\) | −6.52878 | + | 11.3082i | −0.278642 | + | 0.482622i | ||||
\(550\) | −6.78676 | − | 30.0178i | −0.289389 | − | 1.27996i | ||||
\(551\) | −10.7899 | − | 18.6887i | −0.459667 | − | 0.796166i | ||||
\(552\) | 53.9367 | − | 17.5251i | 2.29570 | − | 0.745917i | ||||
\(553\) | 23.5152 | − | 15.5011i | 0.999968 | − | 0.659173i | ||||
\(554\) | −51.5234 | + | 37.4340i | −2.18902 | + | 1.59042i | ||||
\(555\) | 4.64057 | − | 0.518059i | 0.196981 | − | 0.0219904i | ||||
\(556\) | −67.7370 | + | 30.1585i | −2.87269 | + | 1.27900i | ||||
\(557\) | 4.19996 | + | 2.42485i | 0.177958 | + | 0.102744i | 0.586333 | − | 0.810070i | \(-0.300571\pi\) |
−0.408375 | + | 0.912814i | \(0.633904\pi\) | |||||||
\(558\) | 24.7997 | + | 2.60655i | 1.04985 | + | 0.110344i | ||||
\(559\) | 3.63057 | − | 11.1737i | 0.153557 | − | 0.472599i | ||||
\(560\) | −43.3447 | − | 27.3352i | −1.83165 | − | 1.15512i | ||||
\(561\) | −3.46299 | − | 10.6580i | −0.146208 | − | 0.449981i | ||||
\(562\) | 9.09758 | + | 42.8008i | 0.383758 | + | 1.80544i | ||||
\(563\) | 22.0694 | − | 19.8713i | 0.930112 | − | 0.837477i | −0.0568575 | − | 0.998382i | \(-0.518108\pi\) |
0.986970 | + | 0.160905i | \(0.0514414\pi\) | |||||||
\(564\) | 51.7743 | + | 11.0050i | 2.18009 | + | 0.463393i | ||||
\(565\) | 17.5048 | − | 30.7763i | 0.736430 | − | 1.29477i | ||||
\(566\) | 18.5684 | − | 57.1476i | 0.780487 | − | 2.40209i | ||||
\(567\) | −0.395970 | + | 2.61595i | −0.0166292 | + | 0.109860i | ||||
\(568\) | 0.921530i | 0.0386665i | ||||||||
\(569\) | −3.84370 | + | 36.5704i | −0.161136 | + | 1.53311i | 0.553046 | + | 0.833151i | \(0.313465\pi\) |
−0.714182 | + | 0.699960i | \(0.753201\pi\) | |||||||
\(570\) | 10.0285 | + | 13.6172i | 0.420046 | + | 0.570362i | ||||
\(571\) | 1.23946 | + | 11.7927i | 0.0518698 | + | 0.493508i | 0.989359 | + | 0.145494i | \(0.0464771\pi\) |
−0.937489 | + | 0.348014i | \(0.886856\pi\) | |||||||
\(572\) | −9.09683 | + | 20.4318i | −0.380357 | + | 0.854297i | ||||
\(573\) | −22.4923 | + | 7.30819i | −0.939629 | + | 0.305304i | ||||
\(574\) | −0.552566 | + | 12.1340i | −0.0230636 | + | 0.506461i | ||||
\(575\) | 17.0089 | + | 36.9124i | 0.709322 | + | 1.53935i | ||||
\(576\) | −2.28466 | − | 3.95714i | −0.0951940 | − | 0.164881i | ||||
\(577\) | −1.79624 | + | 8.45064i | −0.0747784 | + | 0.351805i | −0.999590 | − | 0.0286198i | \(-0.990889\pi\) |
0.924812 | + | 0.380425i | \(0.124222\pi\) | |||||||
\(578\) | −13.3751 | + | 1.40578i | −0.556331 | + | 0.0584727i | ||||
\(579\) | 17.3674 | + | 7.73245i | 0.721763 | + | 0.321350i | ||||
\(580\) | −66.8955 | + | 39.2002i | −2.77768 | + | 1.62770i | ||||
\(581\) | 10.2599 | + | 26.1900i | 0.425651 | + | 1.08654i | ||||
\(582\) | − | 18.6044i | − | 0.771176i | ||||||
\(583\) | 9.85743 | + | 1.03606i | 0.408253 | + | 0.0429091i | ||||
\(584\) | −26.0228 | − | 28.9012i | −1.07683 | − | 1.19594i | ||||
\(585\) | 1.35597 | − | 4.26681i | 0.0560626 | − | 0.176411i | ||||
\(586\) | 15.1539 | − | 16.8302i | 0.626004 | − | 0.695247i | ||||
\(587\) | 38.7281 | + | 12.5835i | 1.59848 | + | 0.519377i | 0.966731 | − | 0.255796i | \(-0.0823375\pi\) |
0.631749 | + | 0.775173i | \(0.282337\pi\) | |||||||
\(588\) | 26.3278 | − | 19.6851i | 1.08574 | − | 0.811802i | ||||
\(589\) | 8.70328 | + | 26.7859i | 0.358612 | + | 1.10370i | ||||
\(590\) | −11.9198 | − | 2.45330i | −0.490732 | − | 0.101001i | ||||
\(591\) | −12.9858 | − | 14.4222i | −0.534164 | − | 0.593249i | ||||
\(592\) | −7.35700 | − | 16.5241i | −0.302371 | − | 0.679136i | ||||
\(593\) | −16.8302 | + | 9.71695i | −0.691135 | + | 0.399027i | −0.804037 | − | 0.594579i | \(-0.797319\pi\) |
0.112902 | + | 0.993606i | \(0.463985\pi\) | |||||||
\(594\) | 4.97957 | + | 3.61787i | 0.204314 | + | 0.148443i | ||||
\(595\) | 9.64157 | − | 26.1523i | 0.395266 | − | 1.07214i | ||||
\(596\) | −81.2448 | + | 59.0278i | −3.32792 | + | 2.41787i | ||||
\(597\) | −1.05160 | + | 2.36192i | −0.0430390 | + | 0.0966671i | ||||
\(598\) | 8.75620 | − | 41.1947i | 0.358068 | − | 1.68458i | ||||
\(599\) | 20.1049 | − | 34.8226i | 0.821462 | − | 1.42281i | −0.0831313 | − | 0.996539i | \(-0.526492\pi\) |
0.904593 | − | 0.426276i | \(-0.140175\pi\) | |||||||
\(600\) | 27.9552 | − | 20.8675i | 1.14127 | − | 0.851911i | ||||
\(601\) | 1.85473 | 0.0756560 | 0.0378280 | − | 0.999284i | \(-0.487956\pi\) | ||||
0.0378280 | + | 0.999284i | \(0.487956\pi\) | |||||||
\(602\) | 10.6634 | + | 38.7329i | 0.434610 | + | 1.57863i | ||||
\(603\) | 4.77698 | + | 6.57495i | 0.194534 | + | 0.267753i | ||||
\(604\) | −10.1022 | − | 4.49779i | −0.411052 | − | 0.183012i | ||||
\(605\) | −6.95899 | + | 9.70946i | −0.282923 | + | 0.394745i | ||||
\(606\) | −17.3463 | + | 7.72306i | −0.704645 | + | 0.313728i | ||||
\(607\) | 15.1124 | − | 8.72513i | 0.613392 | − | 0.354142i | −0.160900 | − | 0.986971i | \(-0.551440\pi\) |
0.774292 | + | 0.632829i | \(0.218106\pi\) | |||||||
\(608\) | 14.5343 | − | 20.0047i | 0.589443 | − | 0.811299i | ||||
\(609\) | −3.18810 | − | 19.2732i | −0.129188 | − | 0.780988i | ||||
\(610\) | −7.41228 | + | 75.1902i | −0.300114 | + | 3.04436i | ||||
\(611\) | 15.1003 | − | 16.7706i | 0.610892 | − | 0.678464i | ||||
\(612\) | 16.4425 | − | 14.8049i | 0.664650 | − | 0.598454i | ||||
\(613\) | −14.4839 | + | 13.0414i | −0.585001 | + | 0.526737i | −0.907621 | − | 0.419791i | \(-0.862103\pi\) |
0.322620 | + | 0.946529i | \(0.395437\pi\) | |||||||
\(614\) | −35.4129 | + | 39.3300i | −1.42915 | + | 1.58723i | ||||
\(615\) | −3.63448 | − | 1.59013i | −0.146556 | − | 0.0641204i | ||||
\(616\) | −7.16558 | − | 43.3184i | −0.288710 | − | 1.74535i | ||||
\(617\) | 19.9305 | − | 27.4320i | 0.802373 | − | 1.10437i | −0.190083 | − | 0.981768i | \(-0.560876\pi\) |
0.992456 | − | 0.122603i | \(-0.0391243\pi\) | |||||||
\(618\) | −10.3345 | + | 5.96660i | −0.415713 | + | 0.240012i | ||||
\(619\) | 43.0300 | − | 19.1582i | 1.72952 | − | 0.770033i | 0.733624 | − | 0.679555i | \(-0.237827\pi\) |
0.995898 | − | 0.0904780i | \(-0.0288395\pi\) | |||||||
\(620\) | 96.0361 | − | 31.8910i | 3.85690 | − | 1.28077i | ||||
\(621\) | −7.42578 | − | 3.30617i | −0.297986 | − | 0.132672i | ||||
\(622\) | 6.03121 | + | 8.30125i | 0.241829 | + | 0.332850i | ||||
\(623\) | −3.78943 | − | 13.7644i | −0.151820 | − | 0.551458i | ||||
\(624\) | −17.3429 | −0.694272 | ||||||||
\(625\) | 17.2025 | + | 18.1404i | 0.688099 | + | 0.725617i | ||||
\(626\) | 26.1898 | − | 45.3620i | 1.04675 | − | 1.81303i | ||||
\(627\) | −1.44538 | + | 6.79997i | −0.0577228 | + | 0.271565i | ||||
\(628\) | 32.3827 | − | 72.7328i | 1.29221 | − | 2.90236i | ||||
\(629\) | 7.95944 | − | 5.78287i | 0.317364 | − | 0.230578i | ||||
\(630\) | 4.15873 | + | 14.7334i | 0.165688 | + | 0.586991i | ||||
\(631\) | −0.234962 | − | 0.170710i | −0.00935369 | − | 0.00679585i | 0.583099 | − | 0.812401i | \(-0.301840\pi\) |
−0.592452 | + | 0.805606i | \(0.701840\pi\) | |||||||
\(632\) | 64.3208 | − | 37.1357i | 2.55855 | − | 1.47718i | ||||
\(633\) | 0.227083 | + | 0.510037i | 0.00902575 | + | 0.0202722i | ||||
\(634\) | −7.63678 | − | 8.48151i | −0.303295 | − | 0.336844i | ||||
\(635\) | 0.966881 | + | 8.66094i | 0.0383695 | + | 0.343699i | ||||
\(636\) | 6.04725 | + | 18.6115i | 0.239789 | + | 0.737995i | ||||
\(637\) | −1.65591 | − | 13.9173i | −0.0656094 | − | 0.551425i | ||||
\(638\) | −43.2221 | − | 14.0437i | −1.71118 | − | 0.555996i | ||||
\(639\) | 0.0883802 | − | 0.0981561i | 0.00349627 | − | 0.00388300i | ||||
\(640\) | 9.26332 | + | 6.63924i | 0.366165 | + | 0.262439i | ||||
\(641\) | 6.84858 | + | 7.60611i | 0.270502 | + | 0.300423i | 0.863057 | − | 0.505107i | \(-0.168547\pi\) |
−0.592554 | + | 0.805531i | \(0.701880\pi\) | |||||||
\(642\) | 12.3840 | + | 1.30161i | 0.488758 | + | 0.0513705i | ||||
\(643\) | − | 15.4294i | − | 0.608474i | −0.952596 | − | 0.304237i | \(-0.901598\pi\) | ||
0.952596 | − | 0.304237i | \(-0.0984015\pi\) | |||||||
\(644\) | 36.8393 | + | 94.0384i | 1.45167 | + | 3.70563i | ||||
\(645\) | −13.0577 | − | 1.28723i | −0.514146 | − | 0.0506847i | ||||
\(646\) | 32.5519 | + | 14.4930i | 1.28074 | + | 0.570221i | ||||
\(647\) | 16.6825 | − | 1.75340i | 0.655856 | − | 0.0689333i | 0.229245 | − | 0.973369i | \(-0.426374\pi\) |
0.426611 | + | 0.904435i | \(0.359707\pi\) | |||||||
\(648\) | −1.45059 | + | 6.82449i | −0.0569845 | + | 0.268091i | ||||
\(649\) | −2.50132 | − | 4.33242i | −0.0981855 | − | 0.170062i | ||||
\(650\) | −3.04035 | − | 25.7266i | −0.119252 | − | 1.00908i | ||||
\(651\) | −1.15984 | + | 25.4693i | −0.0454578 | + | 0.998221i | ||||
\(652\) | −48.4196 | + | 15.7325i | −1.89626 | + | 0.616131i | ||||
\(653\) | −7.13652 | + | 16.0289i | −0.279274 | + | 0.627259i | −0.997659 | − | 0.0683867i | \(-0.978215\pi\) |
0.718385 | + | 0.695645i | \(0.244882\pi\) | |||||||
\(654\) | 0.522202 | + | 4.96842i | 0.0204197 | + | 0.194281i | ||||
\(655\) | −6.80143 | − | 2.16147i | −0.265754 | − | 0.0844556i | ||||
\(656\) | −1.60633 | + | 15.2832i | −0.0627167 | + | 0.596710i | ||||
\(657\) | 5.57413i | 0.217468i | ||||||||
\(658\) | −11.5489 | + | 76.2970i | −0.450223 | + | 2.97437i | ||||
\(659\) | −2.38937 | + | 7.35373i | −0.0930767 | + | 0.286461i | −0.986748 | − | 0.162262i | \(-0.948121\pi\) |
0.893671 | + | 0.448723i | \(0.148121\pi\) | |||||||
\(660\) | 24.4648 | + | 5.03528i | 0.952292 | + | 0.195998i | ||||
\(661\) | −30.9008 | − | 6.56816i | −1.20190 | − | 0.255472i | −0.436905 | − | 0.899508i | \(-0.643925\pi\) |
−0.764995 | + | 0.644036i | \(0.777259\pi\) | |||||||
\(662\) | −33.5251 | + | 30.1861i | −1.30299 | + | 1.17322i | ||||
\(663\) | −1.96128 | − | 9.22707i | −0.0761696 | − | 0.358350i | ||||
\(664\) | 22.9212 | + | 70.5441i | 0.889514 | + | 2.73764i | ||||
\(665\) | −13.2915 | + | 11.0594i | −0.515423 | + | 0.428864i | ||||
\(666\) | −1.66983 | + | 5.13921i | −0.0647046 | + | 0.199140i | ||||
\(667\) | 59.6887 | + | 6.27354i | 2.31116 | + | 0.242912i | ||||
\(668\) | −34.3692 | − | 19.8430i | −1.32978 | − | 0.767750i | ||||
\(669\) | 22.7428 | − | 10.1257i | 0.879286 | − | 0.391483i | ||||
\(670\) | 40.8763 | + | 23.2493i | 1.57919 | + | 0.898200i | ||||
\(671\) | −25.1269 | + | 18.2558i | −0.970015 | + | 0.704757i | ||||
\(672\) | 18.6890 | − | 12.3197i | 0.720943 | − | 0.475241i | ||||
\(673\) | 21.3122 | − | 6.92476i | 0.821525 | − | 0.266930i | 0.132054 | − | 0.991243i | \(-0.457843\pi\) |
0.689472 | + | 0.724313i | \(0.257843\pi\) | |||||||
\(674\) | −27.8905 | − | 48.3078i | −1.07430 | − | 1.86075i | ||||
\(675\) | −4.97894 | − | 0.458386i | −0.191640 | − | 0.0176433i | ||||
\(676\) | 21.1121 | − | 36.5672i | 0.812003 | − | 1.40643i | ||||
\(677\) | −10.1719 | − | 9.15886i | −0.390940 | − | 0.352004i | 0.450099 | − | 0.892979i | \(-0.351389\pi\) |
−0.841039 | + | 0.540975i | \(0.818055\pi\) | |||||||
\(678\) | 24.0839 | + | 33.1487i | 0.924937 | + | 1.27307i | ||||
\(679\) | 18.9884 | − | 1.12566i | 0.728708 | − | 0.0431990i | ||||
\(680\) | 29.4618 | − | 67.3391i | 1.12981 | − | 2.58234i | ||||
\(681\) | 2.97314 | − | 28.2875i | 0.113931 | − | 1.08398i | ||||
\(682\) | 51.3668 | + | 29.6566i | 1.96694 | + | 1.13561i | ||||
\(683\) | −13.0847 | − | 29.3886i | −0.500671 | − | 1.12452i | −0.970354 | − | 0.241689i | \(-0.922299\pi\) |
0.469683 | − | 0.882835i | \(-0.344368\pi\) | |||||||
\(684\) | −13.4256 | + | 2.85370i | −0.513340 | + | 0.109114i | ||||
\(685\) | 7.14743 | + | 12.1971i | 0.273089 | + | 0.466029i | ||||
\(686\) | 30.9193 | + | 36.6168i | 1.18051 | + | 1.39804i | ||||
\(687\) | 5.39528 | + | 1.75303i | 0.205843 | + | 0.0668824i | ||||
\(688\) | 10.5675 | + | 49.7161i | 0.402882 | + | 1.89541i | ||||
\(689\) | 8.16102 | + | 1.73468i | 0.310910 | + | 0.0660860i | ||||
\(690\) | −47.0329 | + | 0.303690i | −1.79051 | + | 0.0115613i | ||||
\(691\) | 1.02322 | − | 0.217492i | 0.0389252 | − | 0.00827380i | −0.188408 | − | 0.982091i | \(-0.560333\pi\) |
0.227333 | + | 0.973817i | \(0.426999\pi\) | |||||||
\(692\) | −10.3590 | + | 14.2580i | −0.393791 | + | 0.542006i | ||||
\(693\) | −3.39125 | + | 5.30125i | −0.128823 | + | 0.201378i | ||||
\(694\) | 37.0191 | + | 26.8959i | 1.40522 | + | 1.02096i | ||||
\(695\) | 35.0869 | − | 3.91699i | 1.33092 | − | 0.148580i | ||||
\(696\) | −5.38476 | − | 51.2325i | −0.204109 | − | 1.94196i | ||||
\(697\) | −8.31290 | + | 0.873721i | −0.314873 | + | 0.0330945i | ||||
\(698\) | 21.9020 | + | 19.7207i | 0.829004 | + | 0.746438i | ||||
\(699\) | 9.04806 | 0.342229 | ||||||||
\(700\) | 40.0430 | + | 47.4979i | 1.51348 | + | 1.79525i | ||||
\(701\) | −12.9841 | −0.490404 | −0.245202 | − | 0.969472i | \(-0.578854\pi\) | ||||
−0.245202 | + | 0.969472i | \(0.578854\pi\) | |||||||
\(702\) | 3.85033 | + | 3.46685i | 0.145321 | + | 0.130848i | ||||
\(703\) | −6.06978 | + | 0.637960i | −0.228926 | + | 0.0240611i | ||||
\(704\) | −1.13607 | − | 10.8090i | −0.0428173 | − | 0.407379i | ||||
\(705\) | −21.9072 | − | 12.4602i | −0.825071 | − | 0.469278i | ||||
\(706\) | −39.1162 | − | 28.4196i | −1.47216 | − | 1.06959i | ||||
\(707\) | −8.93202 | − | 17.2370i | −0.335923 | − | 0.648266i | ||||
\(708\) | 5.80557 | − | 7.99068i | 0.218187 | − | 0.300308i | ||||
\(709\) | −37.4698 | + | 7.96444i | −1.40721 | + | 0.299111i | −0.848035 | − | 0.529941i | \(-0.822214\pi\) |
−0.559172 | + | 0.829052i | \(0.688881\pi\) | |||||||
\(710\) | 0.231472 | − | 0.728367i | 0.00868700 | − | 0.0273351i | ||||
\(711\) | −10.4126 | − | 2.21327i | −0.390504 | − | 0.0830041i | ||||
\(712\) | −7.82738 | − | 36.8249i | −0.293344 | − | 1.38007i | ||||
\(713\) | −74.4966 | − | 24.2054i | −2.78992 | − | 0.906500i | ||||
\(714\) | 22.9643 | + | 22.6517i | 0.859417 | + | 0.847718i | ||||
\(715\) | 7.07443 | − | 7.95971i | 0.264569 | − | 0.297676i | ||||
\(716\) | −85.1996 | + | 18.1097i | −3.18406 | + | 0.676793i | ||||
\(717\) | −2.03483 | − | 4.57031i | −0.0759922 | − | 0.170681i | ||||
\(718\) | −4.40234 | − | 2.54169i | −0.164294 | − | 0.0948550i | ||||
\(719\) | −1.38356 | + | 13.1637i | −0.0515980 | + | 0.490922i | 0.937956 | + | 0.346756i | \(0.112717\pi\) |
−0.989553 | + | 0.144166i | \(0.953950\pi\) | |||||||
\(720\) | 4.14919 | + | 18.9189i | 0.154631 | + | 0.705065i | ||||
\(721\) | −6.71505 | − | 10.1868i | −0.250082 | − | 0.379375i | ||||
\(722\) | 15.9066 | + | 21.8935i | 0.591981 | + | 0.814792i | ||||
\(723\) | 1.39066 | + | 1.25216i | 0.0517193 | + | 0.0465683i | ||||
\(724\) | 8.01136 | − | 13.8761i | 0.297740 | − | 0.515701i | ||||
\(725\) | 36.0089 | − | 8.14132i | 1.33734 | − | 0.302361i | ||||
\(726\) | −6.91214 | − | 11.9722i | −0.256534 | − | 0.444329i | ||||
\(727\) | 25.6014 | − | 8.31839i | 0.949502 | − | 0.308512i | 0.206989 | − | 0.978343i | \(-0.433634\pi\) |
0.742513 | + | 0.669831i | \(0.233634\pi\) | |||||||
\(728\) | −2.18718 | − | 36.8947i | −0.0810622 | − | 1.36741i | ||||
\(729\) | 0.809017 | − | 0.587785i | 0.0299636 | − | 0.0217698i | ||||
\(730\) | 13.3086 | + | 29.3797i | 0.492575 | + | 1.08739i | ||||
\(731\) | −25.2558 | + | 11.2446i | −0.934118 | + | 0.415896i | ||||
\(732\) | −53.1055 | − | 30.6605i | −1.96283 | − | 1.13324i | ||||
\(733\) | 4.48664 | + | 0.471565i | 0.165718 | + | 0.0174176i | 0.187024 | − | 0.982355i | \(-0.440116\pi\) |
−0.0213061 | + | 0.999773i | \(0.506782\pi\) | |||||||
\(734\) | 17.6419 | − | 54.2961i | 0.651173 | − | 2.00410i | ||||
\(735\) | −14.7858 | + | 5.13602i | −0.545384 | + | 0.189445i | ||||
\(736\) | 21.2514 | + | 65.4050i | 0.783335 | + | 2.41086i | ||||
\(737\) | 4.01914 | + | 18.9086i | 0.148047 | + | 0.696507i | ||||
\(738\) | 3.41174 | − | 3.07195i | 0.125588 | − | 0.113080i | ||||
\(739\) | 22.8428 | + | 4.85538i | 0.840285 | + | 0.178608i | 0.607898 | − | 0.794015i | \(-0.292013\pi\) |
0.232387 | + | 0.972623i | \(0.425346\pi\) | |||||||
\(740\) | 2.43291 | + | 21.7930i | 0.0894355 | + | 0.801128i | ||||
\(741\) | −1.80832 | + | 5.56544i | −0.0664304 | + | 0.204452i | ||||
\(742\) | −26.5638 | + | 10.4063i | −0.975188 | + | 0.382027i | ||||
\(743\) | − | 18.9165i | − | 0.693979i | −0.937869 | − | 0.346990i | \(-0.887204\pi\) | ||
0.937869 | − | 0.346990i | \(-0.112796\pi\) | |||||||
\(744\) | −7.02778 | + | 66.8649i | −0.257651 | + | 2.45138i | ||||
\(745\) | 45.3797 | − | 15.0694i | 1.66259 | − | 0.552100i | ||||
\(746\) | −2.95641 | − | 28.1283i | −0.108242 | − | 1.02985i | ||||
\(747\) | 4.32417 | − | 9.71223i | 0.158213 | − | 0.355352i | ||||
\(748\) | 50.0520 | − | 16.2629i | 1.83008 | − | 0.594630i | ||||
\(749\) | −0.579180 | + | 12.7184i | −0.0211628 | + | 0.464720i | ||||
\(750\) | −27.3370 | + | 9.47157i | −0.998208 | + | 0.345853i | ||||
\(751\) | −7.71591 | − | 13.3643i | −0.281557 | − | 0.487672i | 0.690211 | − | 0.723608i | \(-0.257518\pi\) |
−0.971769 | + | 0.235936i | \(0.924184\pi\) | |||||||
\(752\) | −20.2980 | + | 95.4947i | −0.740193 | + | 3.48233i | ||||
\(753\) | 18.5485 | − | 1.94952i | 0.675943 | − | 0.0710445i | ||||
\(754\) | −34.9479 | − | 15.5598i | −1.27273 | − | 0.566654i | ||||
\(755\) | 3.93556 | + | 3.49784i | 0.143230 | + | 0.127300i | ||||
\(756\) | −12.2850 | − | 1.85955i | −0.446802 | − | 0.0676313i | ||||
\(757\) | 32.9124i | 1.19622i | 0.801414 | + | 0.598110i | \(0.204082\pi\) | ||||
−0.801414 | + | 0.598110i | \(0.795918\pi\) | |||||||
\(758\) | 96.4237 | + | 10.1345i | 3.50227 | + | 0.368103i | ||||
\(759\) | −12.9373 | − | 14.3683i | −0.469593 | − | 0.521536i | ||||
\(760\) | −36.7147 | + | 27.0387i | −1.33178 | + | 0.980796i | ||||
\(761\) | −5.66716 | + | 6.29402i | −0.205435 | + | 0.228158i | −0.837054 | − | 0.547121i | \(-0.815724\pi\) |
0.631619 | + | 0.775279i | \(0.282391\pi\) | |||||||
\(762\) | −9.59158 | − | 3.11649i | −0.347466 | − | 0.112899i | ||||
\(763\) | −5.03938 | + | 0.833597i | −0.182438 | + | 0.0301782i | ||||
\(764\) | −34.3207 | − | 105.628i | −1.24168 | − | 3.82150i | ||||
\(765\) | −9.59632 | + | 4.34702i | −0.346956 | + | 0.157167i | ||||
\(766\) | −16.2227 | − | 18.0171i | −0.586150 | − | 0.650986i | ||||
\(767\) | −1.71279 | − | 3.84699i | −0.0618452 | − | 0.138907i | ||||
\(768\) | −19.3364 | + | 11.1639i | −0.697741 | + | 0.402841i | ||||
\(769\) | 8.41745 | + | 6.11564i | 0.303541 | + | 0.220536i | 0.729120 | − | 0.684386i | \(-0.239930\pi\) |
−0.425579 | + | 0.904921i | \(0.639930\pi\) | |||||||
\(770\) | −5.21723 | + | 36.0383i | −0.188016 | + | 1.29873i | ||||
\(771\) | −5.21877 | + | 3.79166i | −0.187950 | + | 0.136553i | ||||
\(772\) | −36.3131 | + | 81.5606i | −1.30694 | + | 2.93543i | ||||
\(773\) | −10.3892 | + | 48.8771i | −0.373672 | + | 1.75799i | 0.242282 | + | 0.970206i | \(0.422104\pi\) |
−0.615954 | + | 0.787782i | \(0.711229\pi\) | |||||||
\(774\) | 7.59216 | − | 13.1500i | 0.272895 | − | 0.472667i | ||||
\(775\) | −48.1783 | + | 0.622196i | −1.73062 | + | 0.0223500i | ||||
\(776\) | 50.1611 | 1.80068 | ||||||||
\(777\) | −5.34632 | − | 1.39335i | −0.191798 | − | 0.0499861i | ||||
\(778\) | 11.4276 | + | 15.7287i | 0.409699 | + | 0.563902i | ||||
\(779\) | 4.73698 | + | 2.10904i | 0.169720 | + | 0.0755642i | ||||
\(780\) | 20.0378 | + | 6.36792i | 0.717467 | + | 0.228008i | ||||
\(781\) | 0.287008 | − | 0.127784i | 0.0102700 | − | 0.00457248i | ||||
\(782\) | −85.8234 | + | 49.5502i | −3.06904 | + | 1.77191i | ||||
\(783\) | −4.33995 | + | 5.97343i | −0.155097 | + | 0.213473i | ||||
\(784\) | 36.3081 | + | 48.5602i | 1.29672 | + | 1.73429i | ||||
\(785\) | −25.1835 | + | 28.3349i | −0.898836 | + | 1.01131i | ||||
\(786\) | 5.52628 | − | 6.13756i | 0.197116 | − | 0.218919i | ||||
\(787\) | −34.4830 | + | 31.0486i | −1.22919 | + | 1.10676i | −0.238423 | + | 0.971161i | \(0.576630\pi\) |
−0.990763 | + | 0.135603i | \(0.956703\pi\) | |||||||
\(788\) | 67.7294 | − | 60.9838i | 2.41276 | − | 2.17246i | ||||
\(789\) | −17.9065 | + | 19.8872i | −0.637487 | + | 0.708001i | ||||
\(790\) | −60.1663 | + | 13.1953i | −2.14062 | + | 0.469469i | ||||
\(791\) | −32.3757 | + | 26.5867i | −1.15115 | + | 0.945315i | ||||
\(792\) | −9.75448 | + | 13.4259i | −0.346610 | + | 0.477068i | ||||
\(793\) | −22.6414 | + | 13.0720i | −0.804020 | + | 0.464201i | ||||
\(794\) | 39.9465 | − | 17.7853i | 1.41765 | − | 0.631178i | ||||
\(795\) | −0.0601635 | − | 9.31763i | −0.00213378 | − | 0.330462i | ||||
\(796\) | −11.0921 | − | 4.93850i | −0.393148 | − | 0.175041i | ||||
\(797\) | 4.76016 | + | 6.55180i | 0.168614 | + | 0.232077i | 0.884959 | − | 0.465669i | \(-0.154186\pi\) |
−0.716345 | + | 0.697746i | \(0.754186\pi\) | |||||||
\(798\) | −5.31128 | − | 19.2922i | −0.188017 | − | 0.682936i | ||||
\(799\) | −53.1022 | −1.87862 | ||||||||
\(800\) | 25.3044 | + | 33.8992i | 0.894647 | + | 1.19852i | ||||
\(801\) | −2.69800 | + | 4.67307i | −0.0953292 | + | 0.165115i | ||||
\(802\) | 11.8616 | − | 55.8045i | 0.418848 | − | 1.97053i | ||||
\(803\) | −5.39275 | + | 12.1123i | −0.190306 | + | 0.427434i | ||||
\(804\) | −30.8773 | + | 22.4336i | −1.08896 | + | 0.791173i | ||||
\(805\) | −3.15570 | − | 47.9854i | −0.111224 | − | 1.69126i | ||||
\(806\) | 40.3925 | + | 29.3468i | 1.42276 | + | 1.03370i | ||||
\(807\) | 2.61758 | − | 1.51126i | 0.0921431 | − | 0.0531989i | ||||
\(808\) | −20.8229 | − | 46.7690i | −0.732547 | − | 1.64533i | ||||
\(809\) | −19.0876 | − | 21.1990i | −0.671085 | − | 0.745315i | 0.307412 | − | 0.951577i | \(-0.400537\pi\) |
−0.978497 | + | 0.206261i | \(0.933870\pi\) | |||||||
\(810\) | 2.86072 | − | 5.02964i | 0.100516 | − | 0.176723i | ||||
\(811\) | −0.0194947 | − | 0.0599985i | −0.000684551 | − | 0.00210683i | 0.950714 | − | 0.310070i | \(-0.100353\pi\) |
−0.951398 | + | 0.307963i | \(0.900353\pi\) | |||||||
\(812\) | 90.5106 | − | 14.9720i | 3.17630 | − | 0.525413i | ||||
\(813\) | −7.40060 | − | 2.40460i | −0.259550 | − | 0.0843330i | ||||
\(814\) | −8.60044 | + | 9.55176i | −0.301445 | + | 0.334789i | ||||
\(815\) | 24.2407 | − | 0.156521i | 0.849113 | − | 0.00548269i | ||||
\(816\) | 27.3068 | + | 30.3273i | 0.955931 | + | 1.06167i | ||||
\(817\) | 17.0561 | + | 1.79266i | 0.596716 | + | 0.0627173i | ||||
\(818\) | 71.6212i | 2.50418i | ||||||||
\(819\) | −3.30545 | + | 4.13957i | −0.115502 | + | 0.144648i | ||||
\(820\) | 7.46758 | − | 17.0682i | 0.260779 | − | 0.596048i | ||||
\(821\) | 38.1339 | + | 16.9783i | 1.33088 | + | 0.592548i | 0.944111 | − | 0.329628i | \(-0.106923\pi\) |
0.386773 | + | 0.922175i | \(0.373590\pi\) | |||||||
\(822\) | −16.2705 | + | 1.71010i | −0.567501 | + | 0.0596467i | ||||
\(823\) | −9.11672 | + | 42.8908i | −0.317789 | + | 1.49508i | 0.471944 | + | 0.881628i | \(0.343552\pi\) |
−0.789733 | + | 0.613450i | \(0.789781\pi\) | |||||||
\(824\) | −16.0871 | − | 27.8637i | −0.560422 | − | 0.970679i | ||||
\(825\) | −10.3755 | − | 5.81298i | −0.361230 | − | 0.202382i | ||||
\(826\) | 12.1298 | + | 7.75951i | 0.422049 | + | 0.269988i | ||||
\(827\) | −12.6910 | + | 4.12354i | −0.441308 | + | 0.143390i | −0.521239 | − | 0.853411i | \(-0.674530\pi\) |
0.0799311 | + | 0.996800i | \(0.474530\pi\) | |||||||
\(828\) | 15.5264 | − | 34.8729i | 0.539581 | − | 1.21192i | ||||
\(829\) | 1.64422 | + | 15.6437i | 0.0571060 | + | 0.543327i | 0.985252 | + | 0.171110i | \(0.0547355\pi\) |
−0.928146 | + | 0.372217i | \(0.878598\pi\) | |||||||
\(830\) | −0.397198 | − | 61.5147i | −0.0137869 | − | 2.13521i | ||||
\(831\) | −2.57257 | + | 24.4764i | −0.0892416 | + | 0.849077i | ||||
\(832\) | − | 9.14874i | − | 0.317176i | ||||||
\(833\) | −21.7298 | + | 24.8088i | −0.752893 | + | 0.859575i | ||||
\(834\) | −12.6254 | + | 38.8571i | −0.437183 | + | 1.34551i | ||||
\(835\) | 12.7345 | + | 13.9608i | 0.440696 | + | 0.483132i | ||||
\(836\) | −31.9340 | − | 6.78778i | −1.10446 | − | 0.234760i | ||||
\(837\) | 7.16129 | − | 6.44806i | 0.247530 | − | 0.222877i | ||||
\(838\) | −16.3425 | − | 76.8852i | −0.564541 | − | 2.65596i | ||||
\(839\) | −14.4569 | − | 44.4938i | −0.499108 | − | 1.53610i | −0.810455 | − | 0.585801i | \(-0.800780\pi\) |
0.311347 | − | 0.950296i | \(-0.399220\pi\) | |||||||
\(840\) | −39.7240 | + | 11.2127i | −1.37061 | + | 0.386876i | ||||
\(841\) | 7.88519 | − | 24.2681i | 0.271903 | − | 0.836831i | ||||
\(842\) | 16.7071 | + | 1.75599i | 0.575766 | + | 0.0605155i | ||||
\(843\) | 14.6441 | + | 8.45479i | 0.504371 | + | 0.291199i | ||||
\(844\) | −2.39524 | + | 1.06643i | −0.0824474 | + | 0.0367080i | ||||
\(845\) | −14.8536 | + | 13.5489i | −0.510979 | + | 0.466097i | ||||
\(846\) | 23.5958 | − | 17.1434i | 0.811241 | − | 0.589401i | ||||
\(847\) | 11.8011 | − | 7.77920i | 0.405490 | − | 0.267296i | ||||
\(848\) | −34.3279 | + | 11.1538i | −1.17883 | + | 0.383023i | ||||
\(849\) | −11.6104 | − | 20.1098i | −0.398468 | − | 0.690167i | ||||
\(850\) | −40.2007 | + | 45.8238i | −1.37887 | + | 1.57174i | ||||
\(851\) | 8.48708 | − | 14.7000i | 0.290933 | − | 0.503911i | ||||
\(852\) | 0.460960 | + | 0.415051i | 0.0157922 | + | 0.0142194i | ||||
\(853\) | −10.0539 | − | 13.8380i | −0.344239 | − | 0.473804i | 0.601435 | − | 0.798922i | \(-0.294596\pi\) |
−0.945673 | + | 0.325118i | \(0.894596\pi\) | |||||||
\(854\) | 40.0388 | − | 79.9300i | 1.37010 | − | 2.73515i | ||||
\(855\) | 6.50381 | + | 0.641148i | 0.222426 | + | 0.0219268i | ||||
\(856\) | −3.50940 | + | 33.3897i | −0.119949 | + | 1.14124i | ||||
\(857\) | −16.9560 | − | 9.78953i | −0.579204 | − | 0.334404i | 0.181613 | − | 0.983370i | \(-0.441868\pi\) |
−0.760817 | + | 0.648966i | \(0.775202\pi\) | |||||||
\(858\) | 5.01254 | + | 11.2583i | 0.171125 | + | 0.384354i | ||||
\(859\) | 14.5818 | − | 3.09947i | 0.497526 | − | 0.105752i | 0.0476875 | − | 0.998862i | \(-0.484815\pi\) |
0.449839 | + | 0.893110i | \(0.351482\pi\) | |||||||
\(860\) | 6.04509 | − | 61.3215i | 0.206136 | − | 2.09105i | ||||
\(861\) | 3.34179 | + | 3.29630i | 0.113888 | + | 0.112338i | ||||
\(862\) | 79.5841 | + | 25.8584i | 2.71064 | + | 0.880742i | ||||
\(863\) | 4.74756 | + | 22.3355i | 0.161609 | + | 0.760309i | 0.982056 | + | 0.188588i | \(0.0603910\pi\) |
−0.820448 | + | 0.571722i | \(0.806276\pi\) | |||||||
\(864\) | −8.27554 | − | 1.75902i | −0.281540 | − | 0.0598431i | ||||
\(865\) | 6.75686 | − | 4.97612i | 0.229740 | − | 0.169193i | ||||
\(866\) | 68.6693 | − | 14.5961i | 2.33348 | − | 0.495996i | ||||
\(867\) | −3.05483 | + | 4.20462i | −0.103748 | + | 0.142796i | ||||
\(868\) | −119.609 | − | 5.44684i | −4.05979 | − | 0.184878i | ||||
\(869\) | −20.4849 | − | 14.8831i | −0.694901 | − | 0.504875i | ||||
\(870\) | −8.61267 | + | 41.8462i | −0.291997 | + | 1.41872i | ||||
\(871\) | 1.70090 | + | 16.1830i | 0.0576330 | + | 0.548341i | ||||
\(872\) | −13.3958 | + | 1.40796i | −0.453640 | + | 0.0476795i | ||||
\(873\) | −5.34287 | − | 4.81074i | −0.180829 | − | 0.162819i | ||||
\(874\) | 61.4765 | 2.07947 | ||||||||
\(875\) | −11.3211 | − | 27.3282i | −0.382723 | − | 0.923863i | ||||
\(876\) | −26.1772 | −0.884446 | ||||||||
\(877\) | −9.74490 | − | 8.77435i | −0.329062 | − | 0.296289i | 0.487994 | − | 0.872847i | \(-0.337729\pi\) |
−0.817056 | + | 0.576558i | \(0.804395\pi\) | |||||||
\(878\) | −52.3431 | + | 5.50149i | −1.76650 | + | 0.185666i | ||||
\(879\) | −0.914819 | − | 8.70392i | −0.0308561 | − | 0.293576i | ||||
\(880\) | −9.28729 | + | 45.1240i | −0.313074 | + | 1.52113i | ||||
\(881\) | −20.7417 | − | 15.0697i | −0.698805 | − | 0.507711i | 0.180738 | − | 0.983531i | \(-0.442151\pi\) |
−0.879543 | + | 0.475820i | \(0.842151\pi\) | |||||||
\(882\) | 1.64636 | − | 18.0389i | 0.0554357 | − | 0.607402i | ||||
\(883\) | −8.77887 | + | 12.0831i | −0.295433 | + | 0.406628i | −0.930769 | − | 0.365607i | \(-0.880861\pi\) |
0.635337 | + | 0.772235i | \(0.280861\pi\) | |||||||
\(884\) | 43.3322 | − | 9.21053i | 1.45742 | − | 0.309784i | ||||
\(885\) | −3.78679 | + | 2.78880i | −0.127292 | + | 0.0937444i | ||||
\(886\) | 20.7421 | + | 4.40887i | 0.696845 | + | 0.148119i | ||||
\(887\) | −1.65988 | − | 7.80913i | −0.0557334 | − | 0.262205i | 0.941455 | − | 0.337138i | \(-0.109459\pi\) |
−0.997189 | + | 0.0749332i | \(0.976126\pi\) | |||||||
\(888\) | −13.8563 | − | 4.50219i | −0.464988 | − | 0.151084i | ||||
\(889\) | 2.60048 | − | 9.97813i | 0.0872173 | − | 0.334656i | ||||
\(890\) | −3.06310 | + | 31.0721i | −0.102675 | + | 1.04154i | ||||
\(891\) | 2.32661 | − | 0.494537i | 0.0779445 | − | 0.0165676i | ||||
\(892\) | 47.5524 | + | 106.805i | 1.59217 | + | 3.57608i | ||||
\(893\) | 28.5284 | + | 16.4709i | 0.954665 | + | 0.551176i | ||||
\(894\) | −5.78416 | + | 55.0326i | −0.193451 | + | 1.84057i | ||||
\(895\) | 41.2736 | + | 4.06876i | 1.37962 | + | 0.136004i | ||||
\(896\) | −7.42176 | − | 11.2588i | −0.247944 | − | 0.376132i | ||||
\(897\) | −9.56624 | − | 13.1668i | −0.319408 | − | 0.439627i | ||||
\(898\) | 56.1262 | + | 50.5362i | 1.87295 | + | 1.68642i | ||||
\(899\) | −35.5757 | + | 61.6190i | −1.18652 | + | 2.05511i | ||||
\(900\) | 2.15267 | − | 23.3821i | 0.0717556 | − | 0.779403i | ||||
\(901\) | −9.81631 | − | 17.0024i | −0.327029 | − | 0.566431i | ||||
\(902\) | 10.3855 | − | 3.37447i | 0.345801 | − | 0.112357i | ||||
\(903\) | 13.8808 | + | 6.95323i | 0.461924 | + | 0.231389i | ||||
\(904\) | −89.3753 | + | 64.9350i | −2.97258 | + | 2.15971i | ||||
\(905\) | −5.63647 | + | 5.14139i | −0.187363 | + | 0.170905i | ||||
\(906\) | −5.56652 | + | 2.47837i | −0.184935 | + | 0.0823384i | ||||
\(907\) | 41.7662 | + | 24.1137i | 1.38682 | + | 0.800683i | 0.992956 | − | 0.118484i | \(-0.0378034\pi\) |
0.393868 | + | 0.919167i | \(0.371137\pi\) | |||||||
\(908\) | 132.844 | + | 13.9624i | 4.40857 | + | 0.463359i | ||||
\(909\) | −2.26749 | + | 6.97860i | −0.0752077 | + | 0.231466i | ||||
\(910\) | −7.53857 | + | 29.7105i | −0.249901 | + | 0.984894i | ||||
\(911\) | −3.69240 | − | 11.3640i | −0.122335 | − | 0.376507i | 0.871071 | − | 0.491156i | \(-0.163426\pi\) |
−0.993406 | + | 0.114649i | \(0.963426\pi\) | |||||||
\(912\) | −5.26348 | − | 24.7627i | −0.174291 | − | 0.819976i | ||||
\(913\) | 18.7924 | − | 16.9208i | 0.621938 | − | 0.559995i | ||||
\(914\) | −46.4226 | − | 9.86743i | −1.53552 | − | 0.326385i | ||||
\(915\) | 19.6767 | + | 21.5715i | 0.650492 | + | 0.713130i | ||||
\(916\) | −8.23259 | + | 25.3373i | −0.272013 | + | 0.837169i | ||||
\(917\) | 6.59861 | + | 5.26900i | 0.217905 | + | 0.173998i | ||||
\(918\) | − | 12.1917i | − | 0.402385i | ||||||
\(919\) | 2.33494 | − | 22.2155i | 0.0770226 | − | 0.732821i | −0.886052 | − | 0.463586i | \(-0.846562\pi\) |
0.963074 | − | 0.269235i | \(-0.0867709\pi\) | |||||||
\(920\) | −0.818807 | − | 126.810i | −0.0269953 | − | 4.18080i | ||||
\(921\) | 2.13782 | + | 20.3400i | 0.0704436 | + | 0.670226i | ||||
\(922\) | −14.8198 | + | 33.2857i | −0.488063 | + | 1.09621i | ||||
\(923\) | 0.251513 | − | 0.0817216i | 0.00827866 | − | 0.00268990i | ||||
\(924\) | −24.8957 | − | 15.9260i | −0.819009 | − | 0.523927i | ||||
\(925\) | 2.03876 | − | 10.2401i | 0.0670340 | − | 0.336693i | ||||
\(926\) | 28.0627 | + | 48.6060i | 0.922197 | + | 1.59729i | ||||
\(927\) | −0.958786 | + | 4.51074i | −0.0314907 | + | 0.148152i | ||||
\(928\) | 62.1259 | − | 6.52969i | 2.03938 | − | 0.214348i | ||||
\(929\) | 52.7969 | + | 23.5067i | 1.73221 | + | 0.771230i | 0.995472 | + | 0.0950530i | \(0.0303021\pi\) |
0.736739 | + | 0.676177i | \(0.236365\pi\) | |||||||
\(930\) | 22.3500 | − | 51.0840i | 0.732884 | − | 1.67511i | ||||
\(931\) | 19.3690 | − | 6.58819i | 0.634794 | − | 0.215919i | ||||
\(932\) | 42.4915i | 1.39185i | ||||||||
\(933\) | 3.94354 | + | 0.414482i | 0.129106 | + | 0.0135695i | ||||
\(934\) | −8.06254 | − | 8.95436i | −0.263814 | − | 0.292996i | ||||
\(935\) | −25.0579 | + | 0.161798i | −0.819481 | + | 0.00529135i | ||||
\(936\) | −9.34732 | + | 10.3813i | −0.305527 | + | 0.339322i | ||||
\(937\) | −49.2444 | − | 16.0005i | −1.60874 | − | 0.522712i | −0.639495 | − | 0.768796i | \(-0.720856\pi\) |
−0.969249 | + | 0.246083i | \(0.920856\pi\) | |||||||
\(938\) | −35.3117 | − | 43.0005i | −1.15297 | − | 1.40402i | ||||
\(939\) | −6.25504 | − | 19.2510i | −0.204126 | − | 0.628234i | ||||
\(940\) | 58.5155 | − | 102.880i | 1.90857 | − | 3.35559i | ||||
\(941\) | 16.2280 | + | 18.0230i | 0.529018 | + | 0.587534i | 0.947126 | − | 0.320863i | \(-0.103973\pi\) |
−0.418107 | + | 0.908398i | \(0.637306\pi\) | |||||||
\(942\) | −17.8436 | − | 40.0773i | −0.581375 | − | 1.30579i | ||||
\(943\) | −12.4891 | + | 7.21060i | −0.406702 | + | 0.234809i | ||||
\(944\) | 14.7384 | + | 10.7080i | 0.479693 | + | 0.348517i | ||||
\(945\) | 5.30654 | + | 2.61545i | 0.172622 | + | 0.0850806i | ||||
\(946\) | 29.2195 | − | 21.2292i | 0.950008 | − | 0.690221i | ||||
\(947\) | 1.52112 | − | 3.41648i | 0.0494296 | − | 0.111021i | −0.887143 | − | 0.461495i | \(-0.847313\pi\) |
0.936572 | + | 0.350475i | \(0.113980\pi\) | |||||||
\(948\) | 10.3939 | − | 48.8997i | 0.337580 | − | 1.58819i | ||||
\(949\) | −5.58030 | + | 9.66537i | −0.181144 | + | 0.313751i | ||||
\(950\) | 35.8105 | − | 12.1490i | 1.16185 | − | 0.394166i | ||||
\(951\) | −4.41048 | −0.143019 | ||||||||
\(952\) | −61.0734 | + | 61.9162i | −1.97940 | + | 2.00672i | ||||
\(953\) | 5.33694 | + | 7.34567i | 0.172881 | + | 0.237950i | 0.886661 | − | 0.462420i | \(-0.153019\pi\) |
−0.713781 | + | 0.700369i | \(0.753019\pi\) | |||||||
\(954\) | 9.85085 | + | 4.38588i | 0.318933 | + | 0.141998i | ||||
\(955\) | 0.341453 | + | 52.8815i | 0.0110492 | + | 1.71120i | ||||
\(956\) | 21.4631 | − | 9.55597i | 0.694165 | − | 0.309062i | ||||
\(957\) | −15.2096 | + | 8.78124i | −0.491655 | + | 0.283857i | ||||
\(958\) | −14.5217 | + | 19.9874i | −0.469176 | + | 0.645765i | ||||
\(959\) | −2.72986 | − | 16.5029i | −0.0881517 | − | 0.532907i | ||||
\(960\) | −9.98010 | + | 2.18878i | −0.322106 | + | 0.0706426i | ||||
\(961\) | 41.3934 | − | 45.9721i | 1.33527 | − | 1.48297i | ||||
\(962\) | −8.04033 | + | 7.23955i | −0.259231 | + | 0.233412i | ||||
\(963\) | 3.57607 | − | 3.21991i | 0.115237 | − | 0.103760i | ||||
\(964\) | −5.88039 | + | 6.53083i | −0.189394 | + | 0.210344i | ||||
\(965\) | 28.2400 | − | 31.7739i | 0.909079 | − | 1.02284i | ||||
\(966\) | 52.0904 | + | 19.5872i | 1.67598 | + | 0.630206i | ||||
\(967\) | 1.81264 | − | 2.49489i | 0.0582906 | − | 0.0802302i | −0.778877 | − | 0.627177i | \(-0.784210\pi\) |
0.837167 | + | 0.546947i | \(0.184210\pi\) | |||||||
\(968\) | 32.2794 | − | 18.6365i | 1.03750 | − | 0.599000i | ||||
\(969\) | 12.5795 | − | 5.60074i | 0.404110 | − | 0.179922i | ||||
\(970\) | −39.6468 | − | 12.5996i | −1.27298 | − | 0.404548i | ||||
\(971\) | −6.68115 | − | 2.97464i | −0.214408 | − | 0.0954608i | 0.296722 | − | 0.954964i | \(-0.404106\pi\) |
−0.511131 | + | 0.859503i | \(0.670773\pi\) | |||||||
\(972\) | 2.76036 | + | 3.79930i | 0.0885384 | + | 0.121863i | ||||
\(973\) | −40.4230 | − | 10.5350i | −1.29590 | − | 0.337736i | ||||
\(974\) | −8.66121 | −0.277523 | ||||||||
\(975\) | −8.17444 | − | 5.77928i | −0.261792 | − | 0.185085i | ||||
\(976\) | 56.5515 | − | 97.9500i | 1.81017 | − | 3.13530i | ||||
\(977\) | 1.47443 | − | 6.93663i | 0.0471711 | − | 0.221922i | −0.948248 | − | 0.317531i | \(-0.897146\pi\) |
0.995419 | + | 0.0956084i | \(0.0304796\pi\) | |||||||
\(978\) | −11.4103 | + | 25.6279i | −0.364860 | + | 0.819489i | ||||
\(979\) | −10.3836 | + | 7.54415i | −0.331862 | + | 0.241112i | ||||
\(980\) | −24.1197 | − | 69.4373i | −0.770477 | − | 2.21809i | ||||
\(981\) | 1.56188 | + | 1.13477i | 0.0498670 | + | 0.0362305i | ||||
\(982\) | 28.3470 | − | 16.3661i | 0.904588 | − | 0.522264i | ||||
\(983\) | −16.8060 | − | 37.7470i | −0.536029 | − | 1.20394i | −0.955180 | − | 0.296025i | \(-0.904339\pi\) |
0.419151 | − | 0.907917i | \(-0.362328\pi\) | |||||||
\(984\) | 8.28258 | + | 9.19873i | 0.264039 | + | 0.293245i | ||||
\(985\) | −39.5288 | + | 17.9060i | −1.25949 | + | 0.570534i | ||||
\(986\) | 27.8171 | + | 85.6122i | 0.885876 | + | 2.72645i | ||||
\(987\) | 18.9249 | + | 23.0456i | 0.602386 | + | 0.733550i | ||||
\(988\) | −26.1364 | − | 8.49223i | −0.831510 | − | 0.270174i | ||||
\(989\) | −31.9157 | + | 35.4460i | −1.01486 | + | 1.12712i | ||||
\(990\) | 11.0822 | − | 8.16152i | 0.352215 | − | 0.259390i | ||||
\(991\) | 15.6503 | + | 17.3814i | 0.497148 | + | 0.552139i | 0.938538 | − | 0.345177i | \(-0.112181\pi\) |
−0.441390 | + | 0.897316i | \(0.645514\pi\) | |||||||
\(992\) | −81.0820 | − | 8.52206i | −2.57436 | − | 0.270576i | ||||
\(993\) | 17.4334i | 0.553233i | ||||||||
\(994\) | −0.564258 | + | 0.706647i | −0.0178972 | + | 0.0224135i | ||||
\(995\) | 4.32118 | + | 3.84058i | 0.136991 | + | 0.121755i | ||||
\(996\) | 45.6106 | + | 20.3071i | 1.44523 | + | 0.643456i | ||||
\(997\) | −10.2939 | + | 1.08193i | −0.326011 | + | 0.0342652i | −0.266121 | − | 0.963940i | \(-0.585742\pi\) |
−0.0598909 | + | 0.998205i | \(0.519075\pi\) | |||||||
\(998\) | 7.68502 | − | 36.1552i | 0.243265 | − | 1.14447i | ||||
\(999\) | 1.04411 | + | 1.80845i | 0.0330342 | + | 0.0572168i |
(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.bo.a.319.38 | yes | 320 | |
7.2 | even | 3 | inner | 525.2.bo.a.394.38 | yes | 320 | |
25.4 | even | 10 | inner | 525.2.bo.a.4.38 | ✓ | 320 | |
175.79 | even | 30 | inner | 525.2.bo.a.79.38 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bo.a.4.38 | ✓ | 320 | 25.4 | even | 10 | inner | |
525.2.bo.a.79.38 | yes | 320 | 175.79 | even | 30 | inner | |
525.2.bo.a.319.38 | yes | 320 | 1.1 | even | 1 | trivial | |
525.2.bo.a.394.38 | yes | 320 | 7.2 | even | 3 | inner |