Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(53,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("416.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 416 = 2^{5} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 416.bf (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.32177672409\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 53.13 | ||
Character | \(\chi\) | \(=\) | 416.53 |
Dual form | 416.2.bf.a.157.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(287\) | \(353\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.914272 | + | 1.07894i | −0.646488 | + | 0.762924i | ||||
\(3\) | −0.832888 | + | 0.344993i | −0.480868 | + | 0.199182i | −0.609931 | − | 0.792454i | \(-0.708803\pi\) |
0.129063 | + | 0.991636i | \(0.458803\pi\) | |||||||
\(4\) | −0.328213 | − | 1.97289i | −0.164106 | − | 0.986443i | ||||
\(5\) | 0.202993 | − | 0.490067i | 0.0907810 | − | 0.219165i | −0.871967 | − | 0.489564i | \(-0.837156\pi\) |
0.962748 | + | 0.270400i | \(0.0871558\pi\) | |||||||
\(6\) | 0.389260 | − | 1.21405i | 0.158915 | − | 0.495635i | ||||
\(7\) | −3.33390 | − | 3.33390i | −1.26010 | − | 1.26010i | −0.951046 | − | 0.309049i | \(-0.899989\pi\) |
−0.309049 | − | 0.951046i | \(-0.600011\pi\) | |||||||
\(8\) | 2.42870 | + | 1.44963i | 0.858674 | + | 0.512523i | ||||
\(9\) | −1.54664 | + | 1.54664i | −0.515546 | + | 0.515546i | ||||
\(10\) | 0.343162 | + | 0.667071i | 0.108517 | + | 0.210946i | ||||
\(11\) | 4.42955 | + | 1.83478i | 1.33556 | + | 0.553207i | 0.932236 | − | 0.361850i | \(-0.117855\pi\) |
0.403324 | + | 0.915057i | \(0.367855\pi\) | |||||||
\(12\) | 0.953997 | + | 1.52996i | 0.275395 | + | 0.441662i | ||||
\(13\) | 0.382683 | + | 0.923880i | 0.106137 | + | 0.256238i | ||||
\(14\) | 6.64516 | − | 0.548978i | 1.77599 | − | 0.146721i | ||||
\(15\) | 0.478202i | 0.123471i | ||||||||
\(16\) | −3.78455 | + | 1.29505i | −0.946138 | + | 0.323763i | ||||
\(17\) | 7.74827i | 1.87923i | 0.342233 | + | 0.939615i | \(0.388817\pi\) | ||||
−0.342233 | + | 0.939615i | \(0.611183\pi\) | |||||||
\(18\) | −0.254678 | − | 3.08278i | −0.0600282 | − | 0.726617i | ||||
\(19\) | 1.61256 | + | 3.89307i | 0.369947 | + | 0.893131i | 0.993758 | + | 0.111556i | \(0.0355834\pi\) |
−0.623811 | + | 0.781575i | \(0.714417\pi\) | |||||||
\(20\) | −1.03347 | − | 0.239635i | −0.231091 | − | 0.0535839i | ||||
\(21\) | 3.92694 | + | 1.62659i | 0.856928 | + | 0.354951i | ||||
\(22\) | −6.02943 | + | 3.10172i | −1.28548 | + | 0.661289i | ||||
\(23\) | 3.52222 | − | 3.52222i | 0.734434 | − | 0.734434i | −0.237061 | − | 0.971495i | \(-0.576184\pi\) |
0.971495 | + | 0.237061i | \(0.0761840\pi\) | |||||||
\(24\) | −2.52295 | − | 0.369497i | −0.514994 | − | 0.0754233i | ||||
\(25\) | 3.33657 | + | 3.33657i | 0.667315 | + | 0.667315i | ||||
\(26\) | −1.34669 | − | 0.431786i | −0.264107 | − | 0.0846802i | ||||
\(27\) | 1.78958 | − | 4.32042i | 0.344404 | − | 0.831465i | ||||
\(28\) | −5.48317 | + | 7.67163i | −1.03622 | + | 1.44980i | ||||
\(29\) | −0.630780 | + | 0.261278i | −0.117133 | + | 0.0485181i | −0.440480 | − | 0.897762i | \(-0.645192\pi\) |
0.323347 | + | 0.946280i | \(0.395192\pi\) | |||||||
\(30\) | −0.515951 | − | 0.437207i | −0.0941992 | − | 0.0798227i | ||||
\(31\) | 3.08692 | 0.554427 | 0.277214 | − | 0.960808i | \(-0.410589\pi\) | ||||
0.277214 | + | 0.960808i | \(0.410589\pi\) | |||||||
\(32\) | 2.06283 | − | 5.26733i | 0.364660 | − | 0.931141i | ||||
\(33\) | −4.32231 | −0.752417 | ||||||||
\(34\) | −8.35990 | − | 7.08402i | −1.43371 | − | 1.21490i | ||||
\(35\) | −2.31059 | + | 0.957078i | −0.390561 | + | 0.161776i | ||||
\(36\) | 3.55897 | + | 2.54371i | 0.593161 | + | 0.423952i | ||||
\(37\) | −2.08053 | + | 5.02284i | −0.342037 | + | 0.825750i | 0.655473 | + | 0.755219i | \(0.272469\pi\) |
−0.997510 | + | 0.0705309i | \(0.977531\pi\) | |||||||
\(38\) | −5.67470 | − | 1.81947i | −0.920557 | − | 0.295157i | ||||
\(39\) | −0.637465 | − | 0.637465i | −0.102076 | − | 0.102076i | ||||
\(40\) | 1.20343 | − | 0.895960i | 0.190278 | − | 0.141664i | ||||
\(41\) | 1.30005 | − | 1.30005i | 0.203033 | − | 0.203033i | −0.598265 | − | 0.801298i | \(-0.704143\pi\) |
0.801298 | + | 0.598265i | \(0.204143\pi\) | |||||||
\(42\) | −5.34528 | + | 2.74977i | −0.824794 | + | 0.424299i | ||||
\(43\) | −4.68794 | − | 1.94181i | −0.714905 | − | 0.296123i | −0.00457225 | − | 0.999990i | \(-0.501455\pi\) |
−0.710332 | + | 0.703866i | \(0.751455\pi\) | |||||||
\(44\) | 2.16598 | − | 9.34120i | 0.326533 | − | 1.40824i | ||||
\(45\) | 0.444001 | + | 1.07191i | 0.0661878 | + | 0.159791i | ||||
\(46\) | 0.579989 | + | 7.02053i | 0.0855146 | + | 1.03512i | ||||
\(47\) | 12.3827i | 1.80621i | 0.429423 | + | 0.903103i | \(0.358717\pi\) | ||||
−0.429423 | + | 0.903103i | \(0.641283\pi\) | |||||||
\(48\) | 2.70532 | − | 2.38428i | 0.390480 | − | 0.344141i | ||||
\(49\) | 15.2298i | 2.17568i | ||||||||
\(50\) | −6.65049 | + | 0.549419i | −0.940522 | + | 0.0776995i | ||||
\(51\) | −2.67310 | − | 6.45344i | −0.374309 | − | 0.903662i | ||||
\(52\) | 1.69711 | − | 1.05822i | 0.235346 | − | 0.146749i | ||||
\(53\) | −6.73506 | − | 2.78975i | −0.925132 | − | 0.383202i | −0.131302 | − | 0.991342i | \(-0.541916\pi\) |
−0.793830 | + | 0.608140i | \(0.791916\pi\) | |||||||
\(54\) | 3.02530 | + | 5.88088i | 0.411692 | + | 0.800287i | ||||
\(55\) | 1.79833 | − | 1.79833i | 0.242487 | − | 0.242487i | ||||
\(56\) | −3.26410 | − | 12.9300i | −0.436183 | − | 1.72784i | ||||
\(57\) | −2.68616 | − | 2.68616i | −0.355791 | − | 0.355791i | ||||
\(58\) | 0.294802 | − | 0.919451i | 0.0387095 | − | 0.120730i | ||||
\(59\) | 0.668222 | − | 1.61323i | 0.0869951 | − | 0.210025i | −0.874394 | − | 0.485216i | \(-0.838741\pi\) |
0.961390 | + | 0.275191i | \(0.0887411\pi\) | |||||||
\(60\) | 0.943438 | − | 0.156952i | 0.121797 | − | 0.0202624i | ||||
\(61\) | 1.73215 | − | 0.717482i | 0.221780 | − | 0.0918641i | −0.269027 | − | 0.963133i | \(-0.586702\pi\) |
0.490807 | + | 0.871268i | \(0.336702\pi\) | |||||||
\(62\) | −2.82228 | + | 3.33059i | −0.358430 | + | 0.422986i | ||||
\(63\) | 10.3127 | 1.29927 | ||||||||
\(64\) | 3.79713 | + | 7.04144i | 0.474641 | + | 0.880179i | ||||
\(65\) | 0.530445 | 0.0657936 | ||||||||
\(66\) | 3.95177 | − | 4.66350i | 0.486429 | − | 0.574037i | ||||
\(67\) | 1.16466 | − | 0.482417i | 0.142285 | − | 0.0589366i | −0.310404 | − | 0.950605i | \(-0.600464\pi\) |
0.452690 | + | 0.891668i | \(0.350464\pi\) | |||||||
\(68\) | 15.2864 | − | 2.54308i | 1.85375 | − | 0.308394i | ||||
\(69\) | −1.71847 | + | 4.14876i | −0.206880 | + | 0.499452i | ||||
\(70\) | 1.07988 | − | 3.36801i | 0.129071 | − | 0.402555i | ||||
\(71\) | −0.656769 | − | 0.656769i | −0.0779441 | − | 0.0779441i | 0.667060 | − | 0.745004i | \(-0.267552\pi\) |
−0.745004 | + | 0.667060i | \(0.767552\pi\) | |||||||
\(72\) | −5.99837 | + | 1.51426i | −0.706915 | + | 0.178457i | ||||
\(73\) | 7.00216 | − | 7.00216i | 0.819541 | − | 0.819541i | −0.166500 | − | 0.986041i | \(-0.553247\pi\) |
0.986041 | + | 0.166500i | \(0.0532467\pi\) | |||||||
\(74\) | −3.51716 | − | 6.83700i | −0.408862 | − | 0.794785i | ||||
\(75\) | −3.93009 | − | 1.62790i | −0.453807 | − | 0.187973i | ||||
\(76\) | 7.15131 | − | 4.45915i | 0.820312 | − | 0.511500i | ||||
\(77\) | −8.65071 | − | 20.8846i | −0.985839 | − | 2.38003i | ||||
\(78\) | 1.27060 | − | 0.104968i | 0.143867 | − | 0.0118853i | ||||
\(79\) | 1.72019i | 0.193536i | 0.995307 | + | 0.0967682i | \(0.0308506\pi\) | ||||
−0.995307 | + | 0.0967682i | \(0.969149\pi\) | |||||||
\(80\) | −0.133573 | + | 2.11757i | −0.0149339 | + | 0.236752i | ||||
\(81\) | − | 2.34601i | − | 0.260668i | ||||||
\(82\) | 0.214073 | + | 2.59127i | 0.0236404 | + | 0.286158i | ||||
\(83\) | −1.47301 | − | 3.55616i | −0.161684 | − | 0.390339i | 0.822188 | − | 0.569217i | \(-0.192753\pi\) |
−0.983871 | + | 0.178878i | \(0.942753\pi\) | |||||||
\(84\) | 1.92021 | − | 8.28126i | 0.209512 | − | 0.903560i | ||||
\(85\) | 3.79717 | + | 1.57284i | 0.411861 | + | 0.170599i | ||||
\(86\) | 6.38115 | − | 3.28266i | 0.688097 | − | 0.353978i | ||||
\(87\) | 0.435230 | − | 0.435230i | 0.0466616 | − | 0.0466616i | ||||
\(88\) | 8.09828 | + | 10.8774i | 0.863279 | + | 1.15953i | ||||
\(89\) | 10.3610 | + | 10.3610i | 1.09826 | + | 1.09826i | 0.994614 | + | 0.103645i | \(0.0330507\pi\) |
0.103645 | + | 0.994614i | \(0.466949\pi\) | |||||||
\(90\) | −1.56247 | − | 0.500971i | −0.164698 | − | 0.0528070i | ||||
\(91\) | 1.80429 | − | 4.35595i | 0.189141 | − | 0.456627i | ||||
\(92\) | −8.10498 | − | 5.79290i | −0.845003 | − | 0.603952i | ||||
\(93\) | −2.57106 | + | 1.06497i | −0.266606 | + | 0.110432i | ||||
\(94\) | −13.3602 | − | 11.3212i | −1.37800 | − | 1.16769i | ||||
\(95\) | 2.23520 | 0.229327 | ||||||||
\(96\) | 0.0990870 | + | 5.09876i | 0.0101130 | + | 0.520390i | ||||
\(97\) | 3.99215 | 0.405341 | 0.202671 | − | 0.979247i | \(-0.435038\pi\) | ||||
0.202671 | + | 0.979247i | \(0.435038\pi\) | |||||||
\(98\) | −16.4320 | − | 13.9241i | −1.65988 | − | 1.40655i | ||||
\(99\) | −9.68866 | + | 4.01317i | −0.973747 | + | 0.403339i | ||||
\(100\) | 5.48757 | − | 7.67778i | 0.548757 | − | 0.767778i | ||||
\(101\) | −0.0483981 | + | 0.116843i | −0.00481579 | + | 0.0116264i | −0.926269 | − | 0.376863i | \(-0.877003\pi\) |
0.921453 | + | 0.388489i | \(0.127003\pi\) | |||||||
\(102\) | 9.40680 | + | 3.01609i | 0.931412 | + | 0.298637i | ||||
\(103\) | 5.32970 | + | 5.32970i | 0.525151 | + | 0.525151i | 0.919123 | − | 0.393972i | \(-0.128899\pi\) |
−0.393972 | + | 0.919123i | \(0.628899\pi\) | |||||||
\(104\) | −0.409864 | + | 2.79857i | −0.0401905 | + | 0.274423i | ||||
\(105\) | 1.59428 | − | 1.59428i | 0.155586 | − | 0.155586i | ||||
\(106\) | 9.16765 | − | 4.71612i | 0.890441 | − | 0.458070i | ||||
\(107\) | −8.49267 | − | 3.51778i | −0.821017 | − | 0.340077i | −0.0676770 | − | 0.997707i | \(-0.521559\pi\) |
−0.753340 | + | 0.657631i | \(0.771559\pi\) | |||||||
\(108\) | −9.11106 | − | 2.11261i | −0.876712 | − | 0.203286i | ||||
\(109\) | 7.25189 | + | 17.5076i | 0.694605 | + | 1.67692i | 0.735290 | + | 0.677753i | \(0.237046\pi\) |
−0.0406851 | + | 0.999172i | \(0.512954\pi\) | |||||||
\(110\) | 0.296123 | + | 3.58445i | 0.0282343 | + | 0.341764i | ||||
\(111\) | − | 4.90123i | − | 0.465204i | ||||||
\(112\) | 16.9349 | + | 8.29974i | 1.60020 | + | 0.784252i | ||||
\(113\) | − | 3.73710i | − | 0.351557i | −0.984430 | − | 0.175778i | \(-0.943756\pi\) | ||
0.984430 | − | 0.175778i | \(-0.0562442\pi\) | |||||||
\(114\) | 5.35409 | − | 0.442319i | 0.501456 | − | 0.0414269i | ||||
\(115\) | −1.01114 | − | 2.44111i | −0.0942894 | − | 0.227635i | ||||
\(116\) | 0.722501 | + | 1.15870i | 0.0670825 | + | 0.107583i | ||||
\(117\) | −2.02078 | − | 0.837035i | −0.186821 | − | 0.0773839i | ||||
\(118\) | 1.12964 | + | 2.19590i | 0.103992 | + | 0.202149i | ||||
\(119\) | 25.8319 | − | 25.8319i | 2.36801 | − | 2.36801i | ||||
\(120\) | −0.693218 | + | 1.16141i | −0.0632818 | + | 0.106022i | ||||
\(121\) | 8.47634 | + | 8.47634i | 0.770577 | + | 0.770577i | ||||
\(122\) | −0.809542 | + | 2.52486i | −0.0732925 | + | 0.228590i | ||||
\(123\) | −0.634286 | + | 1.53130i | −0.0571916 | + | 0.138073i | ||||
\(124\) | −1.01317 | − | 6.09014i | −0.0909850 | − | 0.546910i | ||||
\(125\) | 4.76278 | − | 1.97281i | 0.425996 | − | 0.176453i | ||||
\(126\) | −9.42859 | + | 11.1267i | −0.839965 | + | 0.991248i | ||||
\(127\) | −14.2108 | −1.26101 | −0.630504 | − | 0.776186i | \(-0.717152\pi\) | ||||
−0.630504 | + | 0.776186i | \(0.717152\pi\) | |||||||
\(128\) | −11.0689 | − | 2.34092i | −0.978360 | − | 0.206910i | ||||
\(129\) | 4.57444 | 0.402757 | ||||||||
\(130\) | −0.484971 | + | 0.572317i | −0.0425348 | + | 0.0501955i | ||||
\(131\) | 12.1232 | − | 5.02159i | 1.05921 | − | 0.438738i | 0.216038 | − | 0.976385i | \(-0.430686\pi\) |
0.843170 | + | 0.537647i | \(0.180686\pi\) | |||||||
\(132\) | 1.41864 | + | 8.52742i | 0.123477 | + | 0.742216i | ||||
\(133\) | 7.60297 | − | 18.3552i | 0.659261 | − | 1.59160i | ||||
\(134\) | −0.544316 | + | 1.69765i | −0.0470217 | + | 0.146655i | ||||
\(135\) | −1.75403 | − | 1.75403i | −0.150963 | − | 0.150963i | ||||
\(136\) | −11.2321 | + | 18.8182i | −0.963148 | + | 1.61365i | ||||
\(137\) | −11.6514 | + | 11.6514i | −0.995449 | + | 0.995449i | −0.999990 | − | 0.00454083i | \(-0.998555\pi\) |
0.00454083 | + | 0.999990i | \(0.498555\pi\) | |||||||
\(138\) | −2.90510 | − | 5.64722i | −0.247299 | − | 0.480723i | ||||
\(139\) | −17.5161 | − | 7.25542i | −1.48570 | − | 0.615397i | −0.515323 | − | 0.856996i | \(-0.672328\pi\) |
−0.970376 | + | 0.241599i | \(0.922328\pi\) | |||||||
\(140\) | 2.64657 | + | 4.24441i | 0.223676 | + | 0.358718i | ||||
\(141\) | −4.27196 | − | 10.3134i | −0.359764 | − | 0.868547i | ||||
\(142\) | 1.30908 | − | 0.108147i | 0.109855 | − | 0.00907551i | ||||
\(143\) | 4.79451i | 0.400937i | ||||||||
\(144\) | 3.85036 | − | 7.85631i | 0.320863 | − | 0.654693i | ||||
\(145\) | 0.362162i | 0.0300759i | ||||||||
\(146\) | 1.15301 | + | 13.9568i | 0.0954241 | + | 1.15507i | ||||
\(147\) | −5.25416 | − | 12.6847i | −0.433356 | − | 1.04621i | ||||
\(148\) | 10.5923 | + | 2.45608i | 0.870685 | + | 0.201889i | ||||
\(149\) | 18.0872 | + | 7.49196i | 1.48176 | + | 0.613766i | 0.969506 | − | 0.245068i | \(-0.0788101\pi\) |
0.512255 | + | 0.858833i | \(0.328810\pi\) | |||||||
\(150\) | 5.34957 | − | 2.75198i | 0.436790 | − | 0.224698i | ||||
\(151\) | −13.1597 | + | 13.1597i | −1.07092 | + | 1.07092i | −0.0736319 | + | 0.997285i | \(0.523459\pi\) |
−0.997285 | + | 0.0736319i | \(0.976541\pi\) | |||||||
\(152\) | −1.72710 | + | 11.7927i | −0.140086 | + | 0.956514i | ||||
\(153\) | −11.9838 | − | 11.9838i | −0.968830 | − | 0.968830i | ||||
\(154\) | 30.4423 | + | 9.76068i | 2.45311 | + | 0.786538i | ||||
\(155\) | 0.626622 | − | 1.51280i | 0.0503315 | − | 0.121511i | ||||
\(156\) | −1.04842 | + | 1.46687i | −0.0839408 | + | 0.117444i | ||||
\(157\) | −14.1559 | + | 5.86358i | −1.12977 | + | 0.467965i | −0.867701 | − | 0.497086i | \(-0.834403\pi\) |
−0.262065 | + | 0.965050i | \(0.584403\pi\) | |||||||
\(158\) | −1.85598 | − | 1.57272i | −0.147654 | − | 0.125119i | ||||
\(159\) | 6.57200 | 0.521193 | ||||||||
\(160\) | −2.16261 | − | 2.08015i | −0.170969 | − | 0.164451i | ||||
\(161\) | −23.4855 | −1.85091 | ||||||||
\(162\) | 2.53120 | + | 2.14490i | 0.198870 | + | 0.168519i | ||||
\(163\) | −4.63107 | + | 1.91825i | −0.362734 | + | 0.150249i | −0.556604 | − | 0.830778i | \(-0.687896\pi\) |
0.193870 | + | 0.981027i | \(0.437896\pi\) | |||||||
\(164\) | −2.99154 | − | 2.13815i | −0.233600 | − | 0.166962i | ||||
\(165\) | −0.877397 | + | 2.11822i | −0.0683052 | + | 0.164903i | ||||
\(166\) | 5.18360 | + | 1.66201i | 0.402326 | + | 0.128997i | ||||
\(167\) | −5.21882 | − | 5.21882i | −0.403845 | − | 0.403845i | 0.475741 | − | 0.879586i | \(-0.342180\pi\) |
−0.879586 | + | 0.475741i | \(0.842180\pi\) | |||||||
\(168\) | 7.17938 | + | 9.64311i | 0.553901 | + | 0.743982i | ||||
\(169\) | −0.707107 | + | 0.707107i | −0.0543928 | + | 0.0543928i | ||||
\(170\) | −5.16865 | + | 2.65891i | −0.396417 | + | 0.203929i | ||||
\(171\) | −8.51522 | − | 3.52712i | −0.651175 | − | 0.269725i | ||||
\(172\) | −2.29232 | + | 9.88610i | −0.174788 | + | 0.753808i | ||||
\(173\) | −6.30600 | − | 15.2240i | −0.479436 | − | 1.15746i | −0.959874 | − | 0.280432i | \(-0.909522\pi\) |
0.480438 | − | 0.877029i | \(-0.340478\pi\) | |||||||
\(174\) | 0.0716674 | + | 0.867505i | 0.00543309 | + | 0.0657654i | ||||
\(175\) | − | 22.2476i | − | 1.68176i | ||||||
\(176\) | −19.1400 | − | 1.20732i | −1.44273 | − | 0.0910052i | ||||
\(177\) | 1.57417i | 0.118322i | ||||||||
\(178\) | −20.6516 | + | 1.70609i | −1.54790 | + | 0.127877i | ||||
\(179\) | −0.318603 | − | 0.769177i | −0.0238135 | − | 0.0574910i | 0.911525 | − | 0.411244i | \(-0.134905\pi\) |
−0.935339 | + | 0.353753i | \(0.884905\pi\) | |||||||
\(180\) | 1.96904 | − | 1.22778i | 0.146763 | − | 0.0915132i | ||||
\(181\) | 3.82859 | + | 1.58585i | 0.284577 | + | 0.117876i | 0.520406 | − | 0.853919i | \(-0.325781\pi\) |
−0.235829 | + | 0.971795i | \(0.575781\pi\) | |||||||
\(182\) | 3.05018 | + | 5.92924i | 0.226094 | + | 0.439505i | ||||
\(183\) | −1.19516 | + | 1.19516i | −0.0883491 | + | 0.0883491i | ||||
\(184\) | 13.6603 | − | 3.44848i | 1.00705 | − | 0.254225i | ||||
\(185\) | 2.03920 | + | 2.03920i | 0.149925 | + | 0.149925i | ||||
\(186\) | 1.20161 | − | 3.74768i | 0.0881066 | − | 0.274793i | ||||
\(187\) | −14.2164 | + | 34.3214i | −1.03960 | + | 2.50983i | ||||
\(188\) | 24.4297 | − | 4.06417i | 1.78172 | − | 0.296410i | ||||
\(189\) | −20.3701 | + | 8.43757i | −1.48171 | + | 0.613743i | ||||
\(190\) | −2.04358 | + | 2.41164i | −0.148257 | + | 0.174959i | ||||
\(191\) | 11.5465 | 0.835475 | 0.417737 | − | 0.908568i | \(-0.362823\pi\) | ||||
0.417737 | + | 0.908568i | \(0.362823\pi\) | |||||||
\(192\) | −5.59183 | − | 4.55474i | −0.403556 | − | 0.328710i | ||||
\(193\) | −4.85752 | −0.349652 | −0.174826 | − | 0.984599i | \(-0.555936\pi\) | ||||
−0.174826 | + | 0.984599i | \(0.555936\pi\) | |||||||
\(194\) | −3.64991 | + | 4.30728i | −0.262048 | + | 0.309245i | ||||
\(195\) | −0.441801 | + | 0.183000i | −0.0316381 | + | 0.0131049i | ||||
\(196\) | 30.0466 | − | 4.99860i | 2.14618 | − | 0.357043i | ||||
\(197\) | 6.81026 | − | 16.4414i | 0.485211 | − | 1.17140i | −0.471892 | − | 0.881656i | \(-0.656429\pi\) |
0.957103 | − | 0.289747i | \(-0.0935711\pi\) | |||||||
\(198\) | 4.52811 | − | 14.1226i | 0.321799 | − | 1.00365i | ||||
\(199\) | −9.26731 | − | 9.26731i | −0.656942 | − | 0.656942i | 0.297713 | − | 0.954655i | \(-0.403776\pi\) |
−0.954655 | + | 0.297713i | \(0.903776\pi\) | |||||||
\(200\) | 3.26672 | + | 12.9403i | 0.230992 | + | 0.915020i | ||||
\(201\) | −0.803598 | + | 0.803598i | −0.0566814 | + | 0.0566814i | ||||
\(202\) | −0.0818177 | − | 0.159045i | −0.00575667 | − | 0.0111904i | ||||
\(203\) | 2.97403 | + | 1.23188i | 0.208736 | + | 0.0864613i | ||||
\(204\) | −11.8545 | + | 7.39182i | −0.829984 | + | 0.517531i | ||||
\(205\) | −0.373211 | − | 0.901011i | −0.0260662 | − | 0.0629293i | ||||
\(206\) | −10.6232 | + | 0.877618i | −0.740154 | + | 0.0611465i | ||||
\(207\) | 10.8952i | 0.757270i | ||||||||
\(208\) | −2.64476 | − | 3.00088i | −0.183381 | − | 0.208073i | ||||
\(209\) | 20.2032i | 1.39749i | ||||||||
\(210\) | 0.262523 | + | 3.17773i | 0.0181158 | + | 0.219284i | ||||
\(211\) | 5.35077 | + | 12.9179i | 0.368362 | + | 0.889305i | 0.994019 | + | 0.109207i | \(0.0348311\pi\) |
−0.625657 | + | 0.780098i | \(0.715169\pi\) | |||||||
\(212\) | −3.29333 | + | 14.2031i | −0.226187 | + | 0.975475i | ||||
\(213\) | 0.773596 | + | 0.320434i | 0.0530059 | + | 0.0219558i | ||||
\(214\) | 11.5601 | − | 5.94685i | 0.790231 | − | 0.406519i | ||||
\(215\) | −1.90324 | + | 1.90324i | −0.129800 | + | 0.129800i | ||||
\(216\) | 10.6094 | − | 7.89876i | 0.721876 | − | 0.537442i | ||||
\(217\) | −10.2915 | − | 10.2915i | −0.698631 | − | 0.698631i | ||||
\(218\) | −25.5198 | − | 8.18238i | −1.72842 | − | 0.554181i | ||||
\(219\) | −3.41632 | + | 8.24772i | −0.230853 | + | 0.557329i | ||||
\(220\) | −4.13814 | − | 2.95767i | −0.278993 | − | 0.199406i | ||||
\(221\) | −7.15846 | + | 2.96513i | −0.481530 | + | 0.199456i | ||||
\(222\) | 5.28812 | + | 4.48106i | 0.354915 | + | 0.300749i | ||||
\(223\) | 14.8530 | 0.994628 | 0.497314 | − | 0.867571i | \(-0.334320\pi\) | ||||
0.497314 | + | 0.867571i | \(0.334320\pi\) | |||||||
\(224\) | −24.4380 | + | 10.6835i | −1.63283 | + | 0.713819i | ||||
\(225\) | −10.3209 | −0.688063 | ||||||||
\(226\) | 4.03210 | + | 3.41672i | 0.268211 | + | 0.227277i | ||||
\(227\) | 19.0195 | − | 7.87812i | 1.26237 | − | 0.522889i | 0.351731 | − | 0.936101i | \(-0.385593\pi\) |
0.910635 | + | 0.413212i | \(0.135593\pi\) | |||||||
\(228\) | −4.41786 | + | 6.18113i | −0.292580 | + | 0.409355i | ||||
\(229\) | 6.37961 | − | 15.4017i | 0.421577 | − | 1.01778i | −0.560306 | − | 0.828286i | \(-0.689316\pi\) |
0.981883 | − | 0.189490i | \(-0.0606835\pi\) | |||||||
\(230\) | 3.55827 | + | 1.14088i | 0.234625 | + | 0.0752275i | ||||
\(231\) | 14.4101 | + | 14.4101i | 0.948117 | + | 0.948117i | ||||
\(232\) | −1.91073 | − | 0.279836i | −0.125446 | − | 0.0183721i | ||||
\(233\) | 3.02007 | − | 3.02007i | 0.197851 | − | 0.197851i | −0.601227 | − | 0.799078i | \(-0.705321\pi\) |
0.799078 | + | 0.601227i | \(0.205321\pi\) | |||||||
\(234\) | 2.75065 | − | 1.41502i | 0.179816 | − | 0.0925027i | ||||
\(235\) | 6.06837 | + | 2.51360i | 0.395857 | + | 0.163969i | ||||
\(236\) | −3.40204 | − | 0.788843i | −0.221454 | − | 0.0513493i | ||||
\(237\) | −0.593454 | − | 1.43273i | −0.0385490 | − | 0.0930655i | ||||
\(238\) | 4.25363 | + | 51.4884i | 0.275722 | + | 3.33750i | ||||
\(239\) | 16.2646i | 1.05207i | 0.850463 | + | 0.526035i | \(0.176322\pi\) | ||||
−0.850463 | + | 0.526035i | \(0.823678\pi\) | |||||||
\(240\) | −0.619297 | − | 1.80978i | −0.0399755 | − | 0.116821i | ||||
\(241\) | − | 3.00421i | − | 0.193518i | −0.995308 | − | 0.0967591i | \(-0.969152\pi\) | ||
0.995308 | − | 0.0967591i | \(-0.0308476\pi\) | |||||||
\(242\) | −16.8951 | + | 1.39576i | −1.08606 | + | 0.0897229i | ||||
\(243\) | 6.17809 | + | 14.9152i | 0.396325 | + | 0.956812i | ||||
\(244\) | −1.98402 | − | 3.18186i | −0.127014 | − | 0.203697i | ||||
\(245\) | 7.46361 | + | 3.09153i | 0.476832 | + | 0.197510i | ||||
\(246\) | −1.07227 | − | 2.08438i | −0.0683654 | − | 0.132895i | ||||
\(247\) | −2.97962 | + | 2.97962i | −0.189589 | + | 0.189589i | ||||
\(248\) | 7.49719 | + | 4.47490i | 0.476072 | + | 0.284156i | ||||
\(249\) | 2.45370 | + | 2.45370i | 0.155497 | + | 0.155497i | ||||
\(250\) | −2.22594 | + | 6.94243i | −0.140781 | + | 0.439078i | ||||
\(251\) | −2.05015 | + | 4.94951i | −0.129405 | + | 0.312410i | −0.975281 | − | 0.220969i | \(-0.929078\pi\) |
0.845876 | + | 0.533379i | \(0.179078\pi\) | |||||||
\(252\) | −3.38475 | − | 20.3457i | −0.213219 | − | 1.28166i | ||||
\(253\) | 22.0644 | − | 9.13937i | 1.38718 | − | 0.574587i | ||||
\(254\) | 12.9926 | − | 15.3326i | 0.815226 | − | 0.962053i | ||||
\(255\) | −3.70524 | −0.232031 | ||||||||
\(256\) | 12.6457 | − | 9.80239i | 0.790355 | − | 0.612649i | ||||
\(257\) | 15.5291 | 0.968677 | 0.484338 | − | 0.874881i | \(-0.339060\pi\) | ||||
0.484338 | + | 0.874881i | \(0.339060\pi\) | |||||||
\(258\) | −4.18229 | + | 4.93554i | −0.260378 | + | 0.307273i | ||||
\(259\) | 23.6819 | − | 9.80936i | 1.47152 | − | 0.609524i | ||||
\(260\) | −0.174099 | − | 1.04651i | −0.0107972 | − | 0.0649016i | ||||
\(261\) | 0.571487 | − | 1.37969i | 0.0353741 | − | 0.0854007i | ||||
\(262\) | −5.66591 | + | 17.6713i | −0.350041 | + | 1.09173i | ||||
\(263\) | −12.7023 | − | 12.7023i | −0.783260 | − | 0.783260i | 0.197120 | − | 0.980379i | \(-0.436841\pi\) |
−0.980379 | + | 0.197120i | \(0.936841\pi\) | |||||||
\(264\) | −10.4976 | − | 6.26576i | −0.646081 | − | 0.385631i | ||||
\(265\) | −2.73434 | + | 2.73434i | −0.167969 | + | 0.167969i | ||||
\(266\) | 12.8529 | + | 24.9848i | 0.788064 | + | 1.53192i | ||||
\(267\) | −12.2040 | − | 5.05505i | −0.746872 | − | 0.309364i | ||||
\(268\) | −1.33401 | − | 2.13940i | −0.0814875 | − | 0.130685i | ||||
\(269\) | −7.59425 | − | 18.3341i | −0.463030 | − | 1.11785i | −0.967147 | − | 0.254217i | \(-0.918182\pi\) |
0.504118 | − | 0.863635i | \(-0.331818\pi\) | |||||||
\(270\) | 3.49614 | − | 0.288828i | 0.212768 | − | 0.0175775i | ||||
\(271\) | − | 0.295802i | − | 0.0179687i | −0.999960 | − | 0.00898435i | \(-0.997140\pi\) | ||
0.999960 | − | 0.00898435i | \(-0.00285985\pi\) | |||||||
\(272\) | −10.0344 | − | 29.3237i | −0.608426 | − | 1.77801i | ||||
\(273\) | 4.25049i | 0.257251i | ||||||||
\(274\) | −1.91859 | − | 23.2237i | −0.115906 | − | 1.40300i | ||||
\(275\) | 8.65765 | + | 20.9014i | 0.522076 | + | 1.26040i | ||||
\(276\) | 8.74905 | + | 2.02867i | 0.526631 | + | 0.122112i | ||||
\(277\) | −15.7305 | − | 6.51579i | −0.945155 | − | 0.391496i | −0.143747 | − | 0.989614i | \(-0.545915\pi\) |
−0.801408 | + | 0.598118i | \(0.795915\pi\) | |||||||
\(278\) | 23.8427 | − | 12.2654i | 1.42999 | − | 0.735629i | ||||
\(279\) | −4.77435 | + | 4.77435i | −0.285833 | + | 0.285833i | ||||
\(280\) | −6.99914 | − | 1.02506i | −0.418278 | − | 0.0612589i | ||||
\(281\) | 10.9511 | + | 10.9511i | 0.653287 | + | 0.653287i | 0.953783 | − | 0.300496i | \(-0.0971521\pi\) |
−0.300496 | + | 0.953783i | \(0.597152\pi\) | |||||||
\(282\) | 15.0333 | + | 4.82010i | 0.895219 | + | 0.287033i | ||||
\(283\) | −4.41329 | + | 10.6546i | −0.262343 | + | 0.633352i | −0.999083 | − | 0.0428247i | \(-0.986364\pi\) |
0.736740 | + | 0.676176i | \(0.236364\pi\) | |||||||
\(284\) | −1.08017 | + | 1.51129i | −0.0640963 | + | 0.0896785i | ||||
\(285\) | −1.86167 | + | 0.771130i | −0.110276 | + | 0.0456778i | ||||
\(286\) | −5.17298 | − | 4.38349i | −0.305885 | − | 0.259201i | ||||
\(287\) | −8.66845 | −0.511682 | ||||||||
\(288\) | 4.95620 | + | 11.3371i | 0.292047 | + | 0.668045i | ||||
\(289\) | −43.0356 | −2.53151 | ||||||||
\(290\) | −0.390751 | − | 0.331115i | −0.0229457 | − | 0.0194437i | ||||
\(291\) | −3.32501 | + | 1.37726i | −0.194916 | + | 0.0807367i | ||||
\(292\) | −16.1127 | − | 11.5163i | −0.942922 | − | 0.673938i | ||||
\(293\) | −0.370895 | + | 0.895420i | −0.0216679 | + | 0.0523110i | −0.934343 | − | 0.356375i | \(-0.884013\pi\) |
0.912675 | + | 0.408686i | \(0.134013\pi\) | |||||||
\(294\) | 18.4897 | + | 5.92833i | 1.07834 | + | 0.345747i | ||||
\(295\) | −0.654948 | − | 0.654948i | −0.0381325 | − | 0.0381325i | ||||
\(296\) | −12.3342 | + | 9.18295i | −0.716913 | + | 0.533748i | ||||
\(297\) | 15.8540 | − | 15.8540i | 0.919945 | − | 0.919945i | ||||
\(298\) | −24.6200 | + | 12.6653i | −1.42620 | + | 0.733679i | ||||
\(299\) | 4.60201 | + | 1.90621i | 0.266141 | + | 0.110239i | ||||
\(300\) | −1.92175 | + | 8.28791i | −0.110952 | + | 0.478503i | ||||
\(301\) | 9.15533 | + | 22.1029i | 0.527704 | + | 1.27399i | ||||
\(302\) | −2.16694 | − | 26.2299i | −0.124693 | − | 1.50936i | ||||
\(303\) | − | 0.114015i | − | 0.00654996i | ||||||
\(304\) | −11.1445 | − | 12.6452i | −0.639184 | − | 0.725250i | ||||
\(305\) | − | 0.994516i | − | 0.0569458i | ||||||
\(306\) | 23.8862 | − | 1.97331i | 1.36548 | − | 0.112807i | ||||
\(307\) | −10.3376 | − | 24.9571i | −0.589997 | − | 1.42438i | −0.883505 | − | 0.468422i | \(-0.844823\pi\) |
0.293508 | − | 0.955957i | \(-0.405177\pi\) | |||||||
\(308\) | −38.3637 | + | 23.9215i | −2.18598 | + | 1.36305i | ||||
\(309\) | −6.27775 | − | 2.60033i | −0.357129 | − | 0.147928i | ||||
\(310\) | 1.05931 | + | 2.05920i | 0.0601649 | + | 0.116954i | ||||
\(311\) | 7.43534 | − | 7.43534i | 0.421619 | − | 0.421619i | −0.464142 | − | 0.885761i | \(-0.653637\pi\) |
0.885761 | + | 0.464142i | \(0.153637\pi\) | |||||||
\(312\) | −0.624118 | − | 2.47230i | −0.0353337 | − | 0.139966i | ||||
\(313\) | 11.3747 | + | 11.3747i | 0.642935 | + | 0.642935i | 0.951276 | − | 0.308341i | \(-0.0997737\pi\) |
−0.308341 | + | 0.951276i | \(0.599774\pi\) | |||||||
\(314\) | 6.61594 | − | 20.6343i | 0.373359 | − | 1.16446i | ||||
\(315\) | 2.09340 | − | 5.05390i | 0.117949 | − | 0.284755i | ||||
\(316\) | 3.39374 | − | 0.564588i | 0.190913 | − | 0.0317606i | ||||
\(317\) | 8.00586 | − | 3.31614i | 0.449654 | − | 0.186253i | −0.146352 | − | 0.989233i | \(-0.546753\pi\) |
0.596006 | + | 0.802980i | \(0.296753\pi\) | |||||||
\(318\) | −6.00859 | + | 7.09078i | −0.336945 | + | 0.397631i | ||||
\(319\) | −3.27346 | −0.183279 | ||||||||
\(320\) | 4.22157 | − | 0.431490i | 0.235993 | − | 0.0241210i | ||||
\(321\) | 8.28705 | 0.462538 | ||||||||
\(322\) | 21.4721 | − | 25.3394i | 1.19659 | − | 1.41211i | ||||
\(323\) | −30.1645 | + | 12.4946i | −1.67840 | + | 0.695215i | ||||
\(324\) | −4.62842 | + | 0.769992i | −0.257134 | + | 0.0427773i | ||||
\(325\) | −1.80574 | + | 4.35944i | −0.100164 | + | 0.241818i | ||||
\(326\) | 2.16439 | − | 6.75045i | 0.119874 | − | 0.373873i | ||||
\(327\) | −12.0800 | − | 12.0800i | −0.668027 | − | 0.668027i | ||||
\(328\) | 5.04201 | − | 1.27283i | 0.278398 | − | 0.0702802i | ||||
\(329\) | 41.2828 | − | 41.2828i | 2.27599 | − | 2.27599i | ||||
\(330\) | −1.48325 | − | 2.88329i | −0.0816503 | − | 0.158720i | ||||
\(331\) | −26.9831 | − | 11.1768i | −1.48312 | − | 0.614330i | −0.513316 | − | 0.858200i | \(-0.671583\pi\) |
−0.969808 | + | 0.243870i | \(0.921583\pi\) | |||||||
\(332\) | −6.53243 | + | 4.07325i | −0.358514 | + | 0.223549i | ||||
\(333\) | −4.55069 | − | 10.9863i | −0.249376 | − | 0.602048i | ||||
\(334\) | 10.4022 | − | 0.859360i | 0.569184 | − | 0.0470221i | ||||
\(335\) | − | 0.668687i | − | 0.0365343i | ||||||
\(336\) | −16.9682 | − | 1.07033i | −0.925692 | − | 0.0583912i | ||||
\(337\) | 15.3871i | 0.838188i | 0.907943 | + | 0.419094i | \(0.137652\pi\) | ||||
−0.907943 | + | 0.419094i | \(0.862348\pi\) | |||||||
\(338\) | −0.116436 | − | 1.40941i | −0.00633329 | − | 0.0766619i | ||||
\(339\) | 1.28927 | + | 3.11258i | 0.0700238 | + | 0.169052i | ||||
\(340\) | 1.85675 | − | 8.00761i | 0.100697 | − | 0.434274i | ||||
\(341\) | 13.6737 | + | 5.66382i | 0.740471 | + | 0.306713i | ||||
\(342\) | 11.5908 | − | 5.96264i | 0.626757 | − | 0.322423i | ||||
\(343\) | 27.4372 | − | 27.4372i | 1.48147 | − | 1.48147i | ||||
\(344\) | −8.57068 | − | 11.5119i | −0.462100 | − | 0.620678i | ||||
\(345\) | 1.68434 | + | 1.68434i | 0.0906816 | + | 0.0906816i | ||||
\(346\) | 22.1912 | + | 7.11512i | 1.19300 | + | 0.382511i | ||||
\(347\) | −2.72145 | + | 6.57015i | −0.146095 | + | 0.352704i | −0.979940 | − | 0.199295i | \(-0.936135\pi\) |
0.833845 | + | 0.551999i | \(0.186135\pi\) | |||||||
\(348\) | −1.00151 | − | 0.715811i | −0.0536864 | − | 0.0383715i | ||||
\(349\) | 8.89043 | − | 3.68254i | 0.475894 | − | 0.197122i | −0.131826 | − | 0.991273i | \(-0.542084\pi\) |
0.607720 | + | 0.794151i | \(0.292084\pi\) | |||||||
\(350\) | 24.0038 | + | 20.3404i | 1.28306 | + | 1.08724i | ||||
\(351\) | 4.67639 | 0.249607 | ||||||||
\(352\) | 18.8018 | − | 19.5471i | 1.00214 | − | 1.04186i | ||||
\(353\) | −4.92385 | −0.262070 | −0.131035 | − | 0.991378i | \(-0.541830\pi\) | ||||
−0.131035 | + | 0.991378i | \(0.541830\pi\) | |||||||
\(354\) | −1.69843 | − | 1.43922i | −0.0902708 | − | 0.0764938i | ||||
\(355\) | −0.455180 | + | 0.188542i | −0.0241585 | + | 0.0100068i | ||||
\(356\) | 17.0404 | − | 23.8416i | 0.903139 | − | 1.26360i | ||||
\(357\) | −12.6033 | + | 30.4269i | −0.667035 | + | 1.61036i | ||||
\(358\) | 1.12118 | + | 0.359484i | 0.0592564 | + | 0.0189993i | ||||
\(359\) | 1.87267 | + | 1.87267i | 0.0988356 | + | 0.0988356i | 0.754796 | − | 0.655960i | \(-0.227736\pi\) |
−0.655960 | + | 0.754796i | \(0.727736\pi\) | |||||||
\(360\) | −0.475537 | + | 3.24699i | −0.0250630 | + | 0.171131i | ||||
\(361\) | 0.879414 | − | 0.879414i | 0.0462849 | − | 0.0462849i | ||||
\(362\) | −5.21141 | + | 2.68091i | −0.273906 | + | 0.140905i | ||||
\(363\) | −9.98413 | − | 4.13556i | −0.524031 | − | 0.217061i | ||||
\(364\) | −9.18598 | − | 2.12998i | −0.481476 | − | 0.111642i | ||||
\(365\) | −2.01014 | − | 4.85292i | −0.105216 | − | 0.254013i | ||||
\(366\) | −0.196802 | − | 2.38221i | −0.0102870 | − | 0.124520i | ||||
\(367\) | 17.8503i | 0.931781i | 0.884842 | + | 0.465890i | \(0.154266\pi\) | ||||
−0.884842 | + | 0.465890i | \(0.845734\pi\) | |||||||
\(368\) | −8.76857 | + | 17.8915i | −0.457094 | + | 0.932659i | ||||
\(369\) | 4.02141i | 0.209346i | ||||||||
\(370\) | −4.06455 | + | 0.335786i | −0.211306 | + | 0.0174567i | ||||
\(371\) | 13.1533 | + | 31.7548i | 0.682883 | + | 1.64863i | ||||
\(372\) | 2.94491 | + | 4.72287i | 0.152687 | + | 0.244869i | ||||
\(373\) | 11.5446 | + | 4.78194i | 0.597758 | + | 0.247600i | 0.660984 | − | 0.750400i | \(-0.270139\pi\) |
−0.0632260 | + | 0.997999i | \(0.520139\pi\) | |||||||
\(374\) | −24.0330 | − | 46.7176i | −1.24272 | − | 2.41571i | ||||
\(375\) | −3.28626 | + | 3.28626i | −0.169702 | + | 0.169702i | ||||
\(376\) | −17.9504 | + | 30.0739i | −0.925722 | + | 1.55094i | ||||
\(377\) | −0.482778 | − | 0.482778i | −0.0248643 | − | 0.0248643i | ||||
\(378\) | 9.52020 | − | 29.6923i | 0.489667 | − | 1.52721i | ||||
\(379\) | 14.2103 | − | 34.3066i | 0.729933 | − | 1.76221i | 0.0871108 | − | 0.996199i | \(-0.472237\pi\) |
0.642822 | − | 0.766015i | \(-0.277763\pi\) | |||||||
\(380\) | −0.733622 | − | 4.40980i | −0.0376340 | − | 0.226218i | ||||
\(381\) | 11.8360 | − | 4.90264i | 0.606378 | − | 0.251170i | ||||
\(382\) | −10.5566 | + | 12.4579i | −0.540125 | + | 0.637404i | ||||
\(383\) | 26.1491 | 1.33616 | 0.668079 | − | 0.744090i | \(-0.267117\pi\) | ||||
0.668079 | + | 0.744090i | \(0.267117\pi\) | |||||||
\(384\) | 10.0267 | − | 1.86896i | 0.511675 | − | 0.0953752i | ||||
\(385\) | −11.9909 | −0.611114 | ||||||||
\(386\) | 4.44109 | − | 5.24096i | 0.226046 | − | 0.266758i | ||||
\(387\) | 10.2538 | − | 4.24728i | 0.521232 | − | 0.215901i | ||||
\(388\) | −1.31027 | − | 7.87605i | −0.0665191 | − | 0.399846i | ||||
\(389\) | −2.00089 | + | 4.83057i | −0.101449 | + | 0.244919i | −0.966452 | − | 0.256847i | \(-0.917316\pi\) |
0.865003 | + | 0.501767i | \(0.167316\pi\) | |||||||
\(390\) | 0.206481 | − | 0.643988i | 0.0104556 | − | 0.0326096i | ||||
\(391\) | 27.2911 | + | 27.2911i | 1.38017 | + | 1.38017i | ||||
\(392\) | −22.0776 | + | 36.9884i | −1.11508 | + | 1.86820i | ||||
\(393\) | −8.36484 | + | 8.36484i | −0.421951 | + | 0.421951i | ||||
\(394\) | 11.5128 | + | 22.3798i | 0.580008 | + | 1.12748i | ||||
\(395\) | 0.843009 | + | 0.349186i | 0.0424164 | + | 0.0175694i | ||||
\(396\) | 11.0975 | + | 17.7974i | 0.557669 | + | 0.894355i | ||||
\(397\) | −7.17618 | − | 17.3248i | −0.360162 | − | 0.869508i | −0.995276 | − | 0.0970895i | \(-0.969047\pi\) |
0.635113 | − | 0.772419i | \(-0.280953\pi\) | |||||||
\(398\) | 18.4717 | − | 1.52601i | 0.925902 | − | 0.0764917i | ||||
\(399\) | 17.9108i | 0.896662i | ||||||||
\(400\) | −16.9485 | − | 8.30640i | −0.847424 | − | 0.415320i | ||||
\(401\) | − | 17.4600i | − | 0.871912i | −0.899968 | − | 0.435956i | \(-0.856410\pi\) | ||
0.899968 | − | 0.435956i | \(-0.143590\pi\) | |||||||
\(402\) | −0.132325 | − | 1.60174i | −0.00659976 | − | 0.0798875i | ||||
\(403\) | 1.18131 | + | 2.85194i | 0.0588454 | + | 0.142065i | ||||
\(404\) | 0.246404 | + | 0.0571345i | 0.0122590 | + | 0.00284255i | ||||
\(405\) | −1.14971 | − | 0.476224i | −0.0571293 | − | 0.0236637i | ||||
\(406\) | −4.04820 | + | 2.08252i | −0.200909 | + | 0.103354i | ||||
\(407\) | −18.4316 | + | 18.4316i | −0.913621 | + | 0.913621i | ||||
\(408\) | 2.86296 | − | 19.5484i | 0.141738 | − | 0.967792i | ||||
\(409\) | −11.8239 | − | 11.8239i | −0.584656 | − | 0.584656i | 0.351523 | − | 0.936179i | \(-0.385664\pi\) |
−0.936179 | + | 0.351523i | \(0.885664\pi\) | |||||||
\(410\) | 1.31335 | + | 0.421098i | 0.0648618 | + | 0.0207965i | ||||
\(411\) | 5.68467 | − | 13.7240i | 0.280404 | − | 0.676955i | ||||
\(412\) | 8.76561 | − | 12.2642i | 0.431851 | − | 0.604212i | ||||
\(413\) | −7.60613 | + | 3.15056i | −0.374273 | + | 0.155029i | ||||
\(414\) | −11.7553 | − | 9.96119i | −0.577739 | − | 0.489566i | ||||
\(415\) | −2.04177 | −0.100226 | ||||||||
\(416\) | 5.65579 | − | 0.109912i | 0.277298 | − | 0.00538889i | ||||
\(417\) | 17.0920 | 0.837001 | ||||||||
\(418\) | −21.7980 | − | 18.4713i | −1.06618 | − | 0.903459i | ||||
\(419\) | 9.60308 | − | 3.97772i | 0.469141 | − | 0.194325i | −0.135573 | − | 0.990767i | \(-0.543287\pi\) |
0.604714 | + | 0.796443i | \(0.293287\pi\) | |||||||
\(420\) | −3.66859 | − | 2.62206i | −0.179009 | − | 0.127944i | ||||
\(421\) | −5.17425 | + | 12.4917i | −0.252177 | + | 0.608810i | −0.998379 | − | 0.0569096i | \(-0.981875\pi\) |
0.746202 | + | 0.665720i | \(0.231875\pi\) | |||||||
\(422\) | −18.8297 | − | 6.03733i | −0.916614 | − | 0.293893i | ||||
\(423\) | −19.1516 | − | 19.1516i | −0.931183 | − | 0.931183i | ||||
\(424\) | −12.3133 | − | 16.5388i | −0.597987 | − | 0.803197i | ||||
\(425\) | −25.8527 | + | 25.8527i | −1.25404 | + | 1.25404i | ||||
\(426\) | −1.05301 | + | 0.541698i | −0.0510183 | + | 0.0262453i | ||||
\(427\) | −8.16684 | − | 3.38282i | −0.395221 | − | 0.163706i | ||||
\(428\) | −4.15277 | + | 17.9096i | −0.200732 | + | 0.865695i | ||||
\(429\) | −1.65408 | − | 3.99329i | −0.0798595 | − | 0.192798i | ||||
\(430\) | −0.313397 | − | 3.79355i | −0.0151134 | − | 0.182941i | ||||
\(431\) | 23.3031i | 1.12247i | 0.827656 | + | 0.561235i | \(0.189674\pi\) | ||||
−0.827656 | + | 0.561235i | \(0.810326\pi\) | |||||||
\(432\) | −1.17758 | + | 18.6685i | −0.0566561 | + | 0.898186i | ||||
\(433\) | − | 13.4213i | − | 0.644988i | −0.946571 | − | 0.322494i | \(-0.895479\pi\) | ||
0.946571 | − | 0.322494i | \(-0.104521\pi\) | |||||||
\(434\) | 20.5131 | − | 1.69465i | 0.984659 | − | 0.0813458i | ||||
\(435\) | −0.124944 | − | 0.301641i | −0.00599059 | − | 0.0144626i | ||||
\(436\) | 32.1603 | − | 20.0534i | 1.54020 | − | 0.960382i | ||||
\(437\) | 19.3920 | + | 8.03245i | 0.927647 | + | 0.384244i | ||||
\(438\) | −5.77533 | − | 11.2266i | −0.275956 | − | 0.536430i | ||||
\(439\) | 6.72257 | − | 6.72257i | 0.320851 | − | 0.320851i | −0.528243 | − | 0.849093i | \(-0.677149\pi\) |
0.849093 | + | 0.528243i | \(0.177149\pi\) | |||||||
\(440\) | 6.97453 | − | 1.76068i | 0.332497 | − | 0.0839372i | ||||
\(441\) | −23.5549 | − | 23.5549i | −1.12166 | − | 1.12166i | ||||
\(442\) | 3.34559 | − | 10.4345i | 0.159134 | − | 0.496317i | ||||
\(443\) | −3.56928 | + | 8.61700i | −0.169582 | + | 0.409406i | −0.985707 | − | 0.168469i | \(-0.946118\pi\) |
0.816125 | + | 0.577875i | \(0.196118\pi\) | |||||||
\(444\) | −9.66956 | + | 1.60865i | −0.458897 | + | 0.0763430i | ||||
\(445\) | 7.18077 | − | 2.97437i | 0.340401 | − | 0.140999i | ||||
\(446\) | −13.5797 | + | 16.0254i | −0.643015 | + | 0.758826i | ||||
\(447\) | −17.6493 | −0.834783 | ||||||||
\(448\) | 10.8162 | − | 36.1347i | 0.511017 | − | 1.70720i | ||||
\(449\) | 38.6546 | 1.82422 | 0.912112 | − | 0.409940i | \(-0.134450\pi\) | ||||
0.912112 | + | 0.409940i | \(0.134450\pi\) | |||||||
\(450\) | 9.43616 | − | 11.1357i | 0.444825 | − | 0.524940i | ||||
\(451\) | 8.14393 | − | 3.37333i | 0.383483 | − | 0.158844i | ||||
\(452\) | −7.37287 | + | 1.22656i | −0.346790 | + | 0.0576927i | ||||
\(453\) | 6.42052 | − | 15.5005i | 0.301662 | − | 0.728277i | ||||
\(454\) | −8.88897 | + | 27.7236i | −0.417180 | + | 1.30113i | ||||
\(455\) | −1.76845 | − | 1.76845i | −0.0829062 | − | 0.0829062i | ||||
\(456\) | −2.62993 | − | 10.4178i | −0.123158 | − | 0.487860i | ||||
\(457\) | 25.7792 | − | 25.7792i | 1.20590 | − | 1.20590i | 0.233559 | − | 0.972343i | \(-0.424963\pi\) |
0.972343 | − | 0.233559i | \(-0.0750373\pi\) | |||||||
\(458\) | 10.7848 | + | 20.9646i | 0.503942 | + | 0.979611i | ||||
\(459\) | 33.4758 | + | 13.8661i | 1.56251 | + | 0.647215i | ||||
\(460\) | −4.48416 | + | 2.79607i | −0.209075 | + | 0.130367i | ||||
\(461\) | −13.3677 | − | 32.2724i | −0.622595 | − | 1.50308i | −0.848646 | − | 0.528961i | \(-0.822582\pi\) |
0.226051 | − | 0.974115i | \(-0.427418\pi\) | |||||||
\(462\) | −28.7224 | + | 2.37285i | −1.33629 | + | 0.110395i | ||||
\(463\) | 25.0638i | 1.16481i | 0.812898 | + | 0.582407i | \(0.197889\pi\) | ||||
−0.812898 | + | 0.582407i | \(0.802111\pi\) | |||||||
\(464\) | 2.04885 | − | 1.80571i | 0.0951156 | − | 0.0838281i | ||||
\(465\) | 1.47617i | 0.0684558i | ||||||||
\(466\) | 0.497301 | + | 6.01963i | 0.0230370 | + | 0.278854i | ||||
\(467\) | −2.15146 | − | 5.19409i | −0.0995579 | − | 0.240354i | 0.866251 | − | 0.499609i | \(-0.166523\pi\) |
−0.965809 | + | 0.259255i | \(0.916523\pi\) | |||||||
\(468\) | −0.988127 | + | 4.26149i | −0.0456762 | + | 0.196988i | ||||
\(469\) | −5.49117 | − | 2.27452i | −0.253559 | − | 0.105028i | ||||
\(470\) | −8.26017 | + | 4.24928i | −0.381013 | + | 0.196005i | ||||
\(471\) | 9.76741 | − | 9.76741i | 0.450058 | − | 0.450058i | ||||
\(472\) | 3.96150 | − | 2.94937i | 0.182343 | − | 0.135756i | ||||
\(473\) | −17.2027 | − | 17.2027i | −0.790981 | − | 0.790981i | ||||
\(474\) | 2.08840 | + | 0.669601i | 0.0959234 | + | 0.0307558i | ||||
\(475\) | −7.60908 | + | 18.3699i | −0.349128 | + | 0.842870i | ||||
\(476\) | −59.4418 | − | 42.4851i | −2.72451 | − | 1.94730i | ||||
\(477\) | 14.7314 | − | 6.10196i | 0.674507 | − | 0.279390i | ||||
\(478\) | −17.5485 | − | 14.8703i | −0.802650 | − | 0.680151i | ||||
\(479\) | −7.44326 | −0.340091 | −0.170046 | − | 0.985436i | \(-0.554391\pi\) | ||||
−0.170046 | + | 0.985436i | \(0.554391\pi\) | |||||||
\(480\) | 2.51885 | + | 0.986450i | 0.114969 | + | 0.0450251i | ||||
\(481\) | −5.43668 | −0.247891 | ||||||||
\(482\) | 3.24135 | + | 2.74666i | 0.147640 | + | 0.125107i | ||||
\(483\) | 19.5608 | − | 8.10233i | 0.890045 | − | 0.368669i | ||||
\(484\) | 13.9408 | − | 19.5049i | 0.633673 | − | 0.886586i | ||||
\(485\) | 0.810376 | − | 1.95642i | 0.0367973 | − | 0.0888365i | ||||
\(486\) | −21.7411 | − | 6.97080i | −0.986194 | − | 0.316202i | ||||
\(487\) | 7.32791 | + | 7.32791i | 0.332059 | + | 0.332059i | 0.853368 | − | 0.521309i | \(-0.174556\pi\) |
−0.521309 | + | 0.853368i | \(0.674556\pi\) | |||||||
\(488\) | 5.24696 | + | 0.768443i | 0.237519 | + | 0.0347858i | ||||
\(489\) | 3.19538 | − | 3.19538i | 0.144500 | − | 0.144500i | ||||
\(490\) | −10.1593 | + | 5.22627i | −0.458952 | + | 0.236099i | ||||
\(491\) | −19.1363 | − | 7.92651i | −0.863609 | − | 0.357719i | −0.0934910 | − | 0.995620i | \(-0.529803\pi\) |
−0.770118 | + | 0.637902i | \(0.779803\pi\) | |||||||
\(492\) | 3.22926 | + | 0.748780i | 0.145586 | + | 0.0337576i | ||||
\(493\) | −2.02445 | − | 4.88745i | −0.0911766 | − | 0.220120i | ||||
\(494\) | −0.490641 | − | 5.93902i | −0.0220750 | − | 0.267209i | ||||
\(495\) | 5.56274i | 0.250027i | ||||||||
\(496\) | −11.6826 | + | 3.99772i | −0.524565 | + | 0.179503i | ||||
\(497\) | 4.37920i | 0.196434i | ||||||||
\(498\) | −4.89074 | + | 0.404040i | −0.219159 | + | 0.0181055i | ||||
\(499\) | 4.00569 | + | 9.67058i | 0.179319 | + | 0.432915i | 0.987824 | − | 0.155575i | \(-0.0497229\pi\) |
−0.808505 | + | 0.588489i | \(0.799723\pi\) | |||||||
\(500\) | −5.45533 | − | 8.74892i | −0.243970 | − | 0.391264i | ||||
\(501\) | 6.14716 | + | 2.54624i | 0.274635 | + | 0.113757i | ||||
\(502\) | −3.46581 | − | 6.73719i | −0.154687 | − | 0.300695i | ||||
\(503\) | −3.62585 | + | 3.62585i | −0.161669 | + | 0.161669i | −0.783306 | − | 0.621637i | \(-0.786468\pi\) |
0.621637 | + | 0.783306i | \(0.286468\pi\) | |||||||
\(504\) | 25.0463 | + | 14.9496i | 1.11565 | + | 0.665908i | ||||
\(505\) | 0.0474367 | + | 0.0474367i | 0.00211091 | + | 0.00211091i | ||||
\(506\) | −10.3120 | + | 32.1620i | −0.458426 | + | 1.42977i | ||||
\(507\) | 0.344993 | − | 0.832888i | 0.0153217 | − | 0.0369898i | ||||
\(508\) | 4.66418 | + | 28.0363i | 0.206939 | + | 1.24391i | ||||
\(509\) | −24.9433 | + | 10.3319i | −1.10559 | + | 0.457952i | −0.859418 | − | 0.511273i | \(-0.829174\pi\) |
−0.246176 | + | 0.969225i | \(0.579174\pi\) | |||||||
\(510\) | 3.38760 | − | 3.99772i | 0.150005 | − | 0.177022i | ||||
\(511\) | −46.6890 | −2.06540 | ||||||||
\(512\) | −0.985424 | + | 22.6059i | −0.0435500 | + | 0.999051i | ||||
\(513\) | 19.7055 | 0.870018 | ||||||||
\(514\) | −14.1978 | + | 16.7549i | −0.626238 | + | 0.739027i | ||||
\(515\) | 3.69380 | − | 1.53002i | 0.162768 | − | 0.0674209i | ||||
\(516\) | −1.50139 | − | 9.02485i | −0.0660951 | − | 0.397297i | ||||
\(517\) | −22.7196 | + | 54.8500i | −0.999207 | + | 2.41230i | ||||
\(518\) | −11.0680 | + | 34.5197i | −0.486300 | + | 1.51671i | ||||
\(519\) | 10.5044 | + | 10.5044i | 0.461091 | + | 0.461091i | ||||
\(520\) | 1.28829 | + | 0.768951i | 0.0564953 | + | 0.0337207i | ||||
\(521\) | −1.79204 | + | 1.79204i | −0.0785107 | + | 0.0785107i | −0.745272 | − | 0.666761i | \(-0.767680\pi\) |
0.666761 | + | 0.745272i | \(0.267680\pi\) | |||||||
\(522\) | 0.966106 | + | 1.87801i | 0.0422853 | + | 0.0821984i | ||||
\(523\) | 40.4456 | + | 16.7531i | 1.76856 | + | 0.732563i | 0.995117 | + | 0.0987003i | \(0.0314685\pi\) |
0.773446 | + | 0.633862i | \(0.218531\pi\) | |||||||
\(524\) | −13.8860 | − | 22.2695i | −0.606613 | − | 0.972848i | ||||
\(525\) | 7.67527 | + | 18.5298i | 0.334976 | + | 0.808705i | ||||
\(526\) | 25.3184 | − | 2.09164i | 1.10394 | − | 0.0911997i | ||||
\(527\) | 23.9183i | 1.04190i | ||||||||
\(528\) | 16.3580 | − | 5.59762i | 0.711891 | − | 0.243605i | ||||
\(529\) | − | 1.81211i | − | 0.0787873i | ||||||
\(530\) | −0.450251 | − | 5.45010i | −0.0195576 | − | 0.236737i | ||||
\(531\) | 1.46159 | + | 3.52858i | 0.0634275 | + | 0.153128i | ||||
\(532\) | −38.7081 | − | 8.97538i | −1.67821 | − | 0.389132i | ||||
\(533\) | 1.69859 | + | 0.703580i | 0.0735743 | + | 0.0304755i | ||||
\(534\) | 16.6118 | − | 8.54564i | 0.718865 | − | 0.369806i | ||||
\(535\) | −3.44790 | + | 3.44790i | −0.149066 | + | 0.149066i | ||||
\(536\) | 3.52792 | + | 0.516681i | 0.152383 | + | 0.0223172i | ||||
\(537\) | 0.530722 | + | 0.530722i | 0.0229023 | + | 0.0229023i | ||||
\(538\) | 26.7246 | + | 8.56867i | 1.15218 | + | 0.369422i | ||||
\(539\) | −27.9433 | + | 67.4610i | −1.20360 | + | 2.90575i | ||||
\(540\) | −2.88480 | + | 4.03619i | −0.124142 | + | 0.173690i | ||||
\(541\) | −12.7611 | + | 5.28582i | −0.548642 | + | 0.227255i | −0.639746 | − | 0.768586i | \(-0.720960\pi\) |
0.0911038 | + | 0.995841i | \(0.470960\pi\) | |||||||
\(542\) | 0.319152 | + | 0.270444i | 0.0137088 | + | 0.0116165i | ||||
\(543\) | −3.73590 | −0.160323 | ||||||||
\(544\) | 40.8126 | + | 15.9834i | 1.74983 | + | 0.685281i | ||||
\(545\) | 10.0520 | 0.430580 | ||||||||
\(546\) | −4.58601 | − | 3.88610i | −0.196263 | − | 0.166310i | ||||
\(547\) | −1.94262 | + | 0.804659i | −0.0830604 | + | 0.0344047i | −0.423827 | − | 0.905743i | \(-0.639313\pi\) |
0.340766 | + | 0.940148i | \(0.389313\pi\) | |||||||
\(548\) | 26.8111 | + | 19.1628i | 1.14531 | + | 0.818594i | ||||
\(549\) | −1.56933 | + | 3.78870i | −0.0669775 | + | 0.161698i | ||||
\(550\) | −30.4668 | − | 9.76852i | −1.29911 | − | 0.416531i | ||||
\(551\) | −2.03434 | − | 2.03434i | −0.0866659 | − | 0.0866659i | ||||
\(552\) | −10.1878 | + | 7.58492i | −0.433623 | + | 0.322836i | ||||
\(553\) | 5.73494 | − | 5.73494i | 0.243874 | − | 0.243874i | ||||
\(554\) | 21.4121 | − | 11.0150i | 0.909713 | − | 0.467984i | ||||
\(555\) | −2.40193 | − | 0.994913i | −0.101956 | − | 0.0422317i | ||||
\(556\) | −8.56509 | + | 36.9386i | −0.363241 | + | 1.56655i | ||||
\(557\) | 1.29766 | + | 3.13282i | 0.0549835 | + | 0.132742i | 0.948984 | − | 0.315324i | \(-0.102113\pi\) |
−0.894001 | + | 0.448066i | \(0.852113\pi\) | |||||||
\(558\) | −0.786170 | − | 9.51628i | −0.0332812 | − | 0.402856i | ||||
\(559\) | − | 5.07419i | − | 0.214616i | ||||||
\(560\) | 7.50509 | − | 6.61445i | 0.317148 | − | 0.279512i | ||||
\(561\) | − | 33.4904i | − | 1.41397i | ||||||
\(562\) | −21.8278 | + | 1.80327i | −0.920751 | + | 0.0760662i | ||||
\(563\) | 0.405299 | + | 0.978479i | 0.0170813 | + | 0.0412380i | 0.932190 | − | 0.361969i | \(-0.117895\pi\) |
−0.915109 | + | 0.403207i | \(0.867895\pi\) | |||||||
\(564\) | −18.9451 | + | 11.8131i | −0.797732 | + | 0.497421i | ||||
\(565\) | −1.83143 | − | 0.758603i | −0.0770488 | − | 0.0319147i | ||||
\(566\) | −7.46073 | − | 14.5029i | −0.313598 | − | 0.609602i | ||||
\(567\) | −7.82137 | + | 7.82137i | −0.328467 | + | 0.328467i | ||||
\(568\) | −0.643018 | − | 2.54717i | −0.0269804 | − | 0.106877i | ||||
\(569\) | −11.9624 | − | 11.9624i | −0.501489 | − | 0.501489i | 0.410411 | − | 0.911901i | \(-0.365385\pi\) |
−0.911901 | + | 0.410411i | \(0.865385\pi\) | |||||||
\(570\) | 0.870075 | − | 2.71365i | 0.0364434 | − | 0.113662i | ||||
\(571\) | 12.5215 | − | 30.2296i | 0.524009 | − | 1.26507i | −0.411384 | − | 0.911462i | \(-0.634955\pi\) |
0.935394 | − | 0.353608i | \(-0.115045\pi\) | |||||||
\(572\) | 9.45902 | − | 1.57362i | 0.395502 | − | 0.0657964i | ||||
\(573\) | −9.61693 | + | 3.98346i | −0.401753 | + | 0.166412i | ||||
\(574\) | 7.92532 | − | 9.35272i | 0.330797 | − | 0.390375i | ||||
\(575\) | 23.5043 | 0.980198 | ||||||||
\(576\) | −16.7633 | − | 5.01777i | −0.698473 | − | 0.209074i | ||||
\(577\) | 12.5128 | 0.520913 | 0.260457 | − | 0.965486i | \(-0.416127\pi\) | ||||
0.260457 | + | 0.965486i | \(0.416127\pi\) | |||||||
\(578\) | 39.3463 | − | 46.4327i | 1.63659 | − | 1.93135i | ||||
\(579\) | 4.04577 | − | 1.67581i | 0.168136 | − | 0.0696444i | ||||
\(580\) | 0.714505 | − | 0.118866i | 0.0296682 | − | 0.00493566i | ||||
\(581\) | −6.94501 | + | 16.7667i | −0.288127 | + | 0.695601i | ||||
\(582\) | 1.55398 | − | 4.84667i | 0.0644146 | − | 0.200901i | ||||
\(583\) | −24.7147 | − | 24.7147i | −1.02358 | − | 1.02358i | ||||
\(584\) | 27.1567 | − | 6.85556i | 1.12375 | − | 0.283685i | ||||
\(585\) | −0.820407 | + | 0.820407i | −0.0339197 | + | 0.0339197i | ||||
\(586\) | −0.627004 | − | 1.21883i | −0.0259013 | − | 0.0503494i | ||||
\(587\) | 37.3410 | + | 15.4671i | 1.54123 | + | 0.638397i | 0.981703 | − | 0.190418i | \(-0.0609842\pi\) |
0.559523 | + | 0.828815i | \(0.310984\pi\) | |||||||
\(588\) | −23.3009 | + | 14.5291i | −0.960914 | + | 0.599172i | ||||
\(589\) | 4.97785 | + | 12.0176i | 0.205109 | + | 0.495176i | ||||
\(590\) | 1.30545 | − | 0.107847i | 0.0537445 | − | 0.00444000i | ||||
\(591\) | 16.0434i | 0.659935i | ||||||||
\(592\) | 1.36903 | − | 21.7036i | 0.0562667 | − | 0.892012i | ||||
\(593\) | 42.9114i | 1.76216i | 0.472967 | + | 0.881080i | \(0.343183\pi\) | ||||
−0.472967 | + | 0.881080i | \(0.656817\pi\) | |||||||
\(594\) | 2.61061 | + | 31.6004i | 0.107115 | + | 1.29658i | ||||
\(595\) | −7.41570 | − | 17.9031i | −0.304014 | − | 0.733955i | ||||
\(596\) | 8.84433 | − | 38.1429i | 0.362278 | − | 1.56240i | ||||
\(597\) | 10.9158 | + | 4.52147i | 0.446753 | + | 0.185051i | ||||
\(598\) | −6.26417 | + | 3.22248i | −0.256161 | + | 0.131777i | ||||
\(599\) | 2.20670 | − | 2.20670i | 0.0901633 | − | 0.0901633i | −0.660587 | − | 0.750750i | \(-0.729692\pi\) |
0.750750 | + | 0.660587i | \(0.229692\pi\) | |||||||
\(600\) | −7.18514 | − | 9.65085i | −0.293332 | − | 0.393994i | ||||
\(601\) | 1.32807 | + | 1.32807i | 0.0541730 | + | 0.0541730i | 0.733674 | − | 0.679501i | \(-0.237804\pi\) |
−0.679501 | + | 0.733674i | \(0.737804\pi\) | |||||||
\(602\) | −32.2181 | − | 10.3301i | −1.31311 | − | 0.421022i | ||||
\(603\) | −1.05518 | + | 2.54743i | −0.0429702 | + | 0.103739i | ||||
\(604\) | 30.2817 | + | 21.6433i | 1.23214 | + | 0.880654i | ||||
\(605\) | 5.87461 | − | 2.43335i | 0.238837 | − | 0.0989295i | ||||
\(606\) | 0.123015 | + | 0.104240i | 0.00499712 | + | 0.00423447i | ||||
\(607\) | −2.66391 | −0.108125 | −0.0540623 | − | 0.998538i | \(-0.517217\pi\) | ||||
−0.0540623 | + | 0.998538i | \(0.517217\pi\) | |||||||
\(608\) | 23.8325 | − | 0.463151i | 0.966535 | − | 0.0187832i | ||||
\(609\) | −2.90203 | −0.117596 | ||||||||
\(610\) | 1.07302 | + | 0.909258i | 0.0434453 | + | 0.0368148i | ||||
\(611\) | −11.4402 | + | 4.73867i | −0.462819 | + | 0.191706i | ||||
\(612\) | −19.7094 | + | 27.5758i | −0.796704 | + | 1.11469i | ||||
\(613\) | 7.86898 | − | 18.9974i | 0.317825 | − | 0.767298i | −0.681544 | − | 0.731777i | \(-0.738691\pi\) |
0.999369 | − | 0.0355206i | \(-0.0113089\pi\) | |||||||
\(614\) | 36.3785 | + | 11.6640i | 1.46812 | + | 0.470721i | ||||
\(615\) | 0.621686 | + | 0.621686i | 0.0250688 | + | 0.0250688i | ||||
\(616\) | 9.26514 | − | 63.2628i | 0.373303 | − | 2.54893i | ||||
\(617\) | −6.06014 | + | 6.06014i | −0.243972 | + | 0.243972i | −0.818491 | − | 0.574519i | \(-0.805189\pi\) |
0.574519 | + | 0.818491i | \(0.305189\pi\) | |||||||
\(618\) | 8.54517 | − | 4.39590i | 0.343737 | − | 0.176829i | ||||
\(619\) | −33.2626 | − | 13.7778i | −1.33694 | − | 0.553777i | −0.404310 | − | 0.914622i | \(-0.632488\pi\) |
−0.932626 | + | 0.360845i | \(0.882488\pi\) | |||||||
\(620\) | −3.19024 | − | 0.739733i | −0.128123 | − | 0.0297084i | ||||
\(621\) | −8.91420 | − | 21.5208i | −0.357714 | − | 0.863599i | ||||
\(622\) | 1.22434 | + | 14.8202i | 0.0490917 | + | 0.594235i | ||||
\(623\) | − | 69.0848i | − | 2.76782i | ||||||
\(624\) | 3.23807 | + | 1.58697i | 0.129627 | + | 0.0635296i | ||||
\(625\) | 20.8586i | 0.834344i | ||||||||
\(626\) | −22.6721 | + | 1.87302i | −0.906161 | + | 0.0748609i | ||||
\(627\) | −6.96999 | − | 16.8270i | −0.278354 | − | 0.672007i | ||||
\(628\) | 16.2143 | + | 26.0035i | 0.647022 | + | 1.03765i | ||||
\(629\) | −38.9183 | − | 16.1205i | −1.55177 | − | 0.642766i | ||||
\(630\) | 3.53891 | + | 6.87929i | 0.140994 | + | 0.274077i | ||||
\(631\) | −12.3513 | + | 12.3513i | −0.491697 | + | 0.491697i | −0.908841 | − | 0.417144i | \(-0.863031\pi\) |
0.417144 | + | 0.908841i | \(0.363031\pi\) | |||||||
\(632\) | −2.49364 | + | 4.17782i | −0.0991918 | + | 0.166185i | ||||
\(633\) | −8.91318 | − | 8.91318i | −0.354267 | − | 0.354267i | ||||
\(634\) | −3.74163 | + | 11.6697i | −0.148599 | + | 0.463462i | ||||
\(635\) | −2.88469 | + | 6.96427i | −0.114476 | + | 0.276368i | ||||
\(636\) | −2.15701 | − | 12.9658i | −0.0855312 | − | 0.514127i | ||||
\(637\) | −14.0705 | + | 5.82817i | −0.557492 | + | 0.230921i | ||||
\(638\) | 2.99283 | − | 3.53186i | 0.118487 | − | 0.139828i | ||||
\(639\) | 2.03157 | 0.0803676 | ||||||||
\(640\) | −3.39411 | + | 4.94931i | −0.134164 | + | 0.195639i | ||||
\(641\) | 40.1751 | 1.58682 | 0.793410 | − | 0.608687i | \(-0.208303\pi\) | ||||
0.793410 | + | 0.608687i | \(0.208303\pi\) | |||||||
\(642\) | −7.57662 | + | 8.94121i | −0.299025 | + | 0.352882i | ||||
\(643\) | 24.8735 | − | 10.3030i | 0.980917 | − | 0.406309i | 0.166151 | − | 0.986100i | \(-0.446866\pi\) |
0.814765 | + | 0.579791i | \(0.196866\pi\) | |||||||
\(644\) | 7.70823 | + | 46.3341i | 0.303747 | + | 1.82582i | ||||
\(645\) | 0.928578 | − | 2.24179i | 0.0365627 | − | 0.0882702i | ||||
\(646\) | 14.0977 | − | 43.9690i | 0.554668 | − | 1.72994i | ||||
\(647\) | 5.70074 | + | 5.70074i | 0.224119 | + | 0.224119i | 0.810231 | − | 0.586111i | \(-0.199342\pi\) |
−0.586111 | + | 0.810231i | \(0.699342\pi\) | |||||||
\(648\) | 3.40086 | − | 5.69776i | 0.133598 | − | 0.223829i | ||||
\(649\) | 5.91985 | − | 5.91985i | 0.232374 | − | 0.232374i | ||||
\(650\) | −3.05263 | − | 5.93400i | −0.119734 | − | 0.232751i | ||||
\(651\) | 12.1221 | + | 5.02115i | 0.475104 | + | 0.196794i | ||||
\(652\) | 5.30447 | + | 8.50698i | 0.207739 | + | 0.333159i | ||||
\(653\) | 12.5493 | + | 30.2966i | 0.491091 | + | 1.18560i | 0.954166 | + | 0.299279i | \(0.0967463\pi\) |
−0.463074 | + | 0.886319i | \(0.653254\pi\) | |||||||
\(654\) | 24.0780 | − | 1.98916i | 0.941525 | − | 0.0777824i | ||||
\(655\) | − | 6.96053i | − | 0.271970i | ||||||
\(656\) | −3.23647 | + | 6.60373i | −0.126363 | + | 0.257832i | ||||
\(657\) | 21.6596i | 0.845023i | ||||||||
\(658\) | 6.79785 | + | 82.2852i | 0.265008 | + | 3.20781i | ||||
\(659\) | −9.80297 | − | 23.6665i | −0.381869 | − | 0.921914i | −0.991604 | − | 0.129309i | \(-0.958724\pi\) |
0.609735 | − | 0.792605i | \(-0.291276\pi\) | |||||||
\(660\) | 4.46698 | + | 1.03577i | 0.173877 | + | 0.0403175i | ||||
\(661\) | 19.6300 | + | 8.13103i | 0.763520 | + | 0.316260i | 0.730244 | − | 0.683186i | \(-0.239406\pi\) |
0.0332753 | + | 0.999446i | \(0.489406\pi\) | |||||||
\(662\) | 36.7289 | − | 18.8945i | 1.42751 | − | 0.734354i | ||||
\(663\) | 4.93925 | − | 4.93925i | 0.191824 | − | 0.191824i | ||||
\(664\) | 1.57763 | − | 10.7721i | 0.0612240 | − | 0.418040i | ||||
\(665\) | −7.45194 | − | 7.45194i | −0.288974 | − | 0.288974i | ||||
\(666\) | 16.0141 | + | 5.13459i | 0.620536 | + | 0.198961i | ||||
\(667\) | −1.30147 | + | 3.14203i | −0.0503931 | + | 0.121660i | ||||
\(668\) | −8.58326 | + | 12.0090i | −0.332096 | + | 0.464643i | ||||
\(669\) | −12.3709 | + | 5.12418i | −0.478285 | + | 0.198112i | ||||
\(670\) | 0.721472 | + | 0.611362i | 0.0278729 | + | 0.0236190i | ||||
\(671\) | 8.98909 | 0.347020 | ||||||||
\(672\) | 16.6684 | − | 17.3291i | 0.642997 | − | 0.668484i | ||||
\(673\) | −17.6307 | −0.679615 | −0.339808 | − | 0.940495i | \(-0.610362\pi\) | ||||
−0.339808 | + | 0.940495i | \(0.610362\pi\) | |||||||
\(674\) | −16.6017 | − | 14.0680i | −0.639474 | − | 0.541878i | ||||
\(675\) | 20.3865 | − | 8.44435i | 0.784675 | − | 0.325023i | ||||
\(676\) | 1.62712 | + | 1.16296i | 0.0625816 | + | 0.0447292i | ||||
\(677\) | 3.91511 | − | 9.45192i | 0.150470 | − | 0.363267i | −0.830614 | − | 0.556848i | \(-0.812010\pi\) |
0.981084 | + | 0.193582i | \(0.0620104\pi\) | |||||||
\(678\) | −4.53703 | − | 1.45470i | −0.174244 | − | 0.0558675i | ||||
\(679\) | −13.3094 | − | 13.3094i | −0.510768 | − | 0.510768i | ||||
\(680\) | 6.94214 | + | 9.32446i | 0.266219 | + | 0.357577i | ||||
\(681\) | −13.1232 | + | 13.1232i | −0.502881 | + | 0.502881i | ||||
\(682\) | −18.6124 | + | 9.57477i | −0.712704 | + | 0.366637i | ||||
\(683\) | 18.9414 | + | 7.84580i | 0.724774 | + | 0.300211i | 0.714403 | − | 0.699735i | \(-0.246699\pi\) |
0.0103716 | + | 0.999946i | \(0.496699\pi\) | |||||||
\(684\) | −4.16380 | + | 17.9572i | −0.159207 | + | 0.686610i | ||||
\(685\) | 3.34483 | + | 8.07514i | 0.127799 | + | 0.308535i | ||||
\(686\) | 4.51795 | + | 54.6880i | 0.172496 | + | 2.08800i | ||||
\(687\) | 15.0288i | 0.573386i | ||||||||
\(688\) | 20.2565 | + | 1.27775i | 0.772272 | + | 0.0487137i | ||||
\(689\) | − | 7.28998i | − | 0.277726i | ||||||
\(690\) | −3.35723 | + | 0.277352i | −0.127808 | + | 0.0105586i | ||||
\(691\) | −11.5296 | − | 27.8350i | −0.438608 | − | 1.05889i | −0.976430 | − | 0.215834i | \(-0.930753\pi\) |
0.537822 | − | 0.843058i | \(-0.319247\pi\) | |||||||
\(692\) | −27.9655 | + | 17.4377i | −1.06309 | + | 0.662883i | ||||
\(693\) | 45.6805 | + | 18.9215i | 1.73526 | + | 0.718768i | ||||
\(694\) | −4.60064 | − | 8.94318i | −0.174638 | − | 0.339478i | ||||
\(695\) | −7.11129 | + | 7.11129i | −0.269747 | + | 0.269747i | ||||
\(696\) | 1.68797 | − | 0.426118i | 0.0639822 | − | 0.0161520i | ||||
\(697\) | 10.0731 | + | 10.0731i | 0.381546 | + | 0.381546i | ||||
\(698\) | −4.15505 | + | 12.9591i | −0.157271 | + | 0.490508i | ||||
\(699\) | −1.47347 | + | 3.55728i | −0.0557319 | + | 0.134549i | ||||
\(700\) | −43.8920 | + | 7.30195i | −1.65896 | + | 0.275988i | ||||
\(701\) | 17.9070 | − | 7.41731i | 0.676337 | − | 0.280148i | −0.0179578 | − | 0.999839i | \(-0.505716\pi\) |
0.694295 | + | 0.719691i | \(0.255716\pi\) | |||||||
\(702\) | −4.27549 | + | 5.04553i | −0.161368 | + | 0.190431i | ||||
\(703\) | −22.9092 | −0.864038 | ||||||||
\(704\) | 3.90009 | + | 38.1573i | 0.146990 | + | 1.43811i | ||||
\(705\) | −5.92145 | −0.223015 | ||||||||
\(706\) | 4.50174 | − | 5.31252i | 0.169425 | − | 0.199940i | ||||
\(707\) | 0.550899 | − | 0.228190i | 0.0207187 | − | 0.00858196i | ||||
\(708\) | 3.10566 | − | 0.516664i | 0.116718 | − | 0.0194174i | ||||
\(709\) | −11.5044 | + | 27.7741i | −0.432056 | + | 1.04308i | 0.546567 | + | 0.837416i | \(0.315934\pi\) |
−0.978623 | + | 0.205661i | \(0.934066\pi\) | |||||||
\(710\) | 0.212734 | − | 0.663490i | 0.00798375 | − | 0.0249003i | ||||
\(711\) | −2.66051 | − | 2.66051i | −0.0997770 | − | 0.0997770i | ||||
\(712\) | 10.1440 | + | 40.1832i | 0.380164 | + | 1.50593i | ||||
\(713\) | 10.8728 | − | 10.8728i | 0.407190 | − | 0.407190i | ||||
\(714\) | −21.3060 | − | 41.4166i | −0.797356 | − | 1.54998i | ||||
\(715\) | 2.34964 | + | 0.973251i | 0.0878714 | + | 0.0363975i | ||||
\(716\) | −1.41293 | + | 0.881022i | −0.0528036 | + | 0.0329253i | ||||
\(717\) | −5.61119 | − | 13.5466i | −0.209554 | − | 0.505907i | ||||
\(718\) | −3.73262 | + | 0.308364i | −0.139300 | + | 0.0115080i | ||||
\(719\) | − | 10.9616i | − | 0.408800i | −0.978887 | − | 0.204400i | \(-0.934476\pi\) | ||
0.978887 | − | 0.204400i | \(-0.0655242\pi\) | |||||||
\(720\) | −3.06853 | − | 3.48171i | −0.114357 | − | 0.129756i | ||||
\(721\) | − | 35.5374i | − | 1.32348i | ||||||
\(722\) | 0.144809 | + | 1.75286i | 0.00538924 | + | 0.0652345i | ||||
\(723\) | 1.03643 | + | 2.50217i | 0.0385453 | + | 0.0930567i | ||||
\(724\) | 1.87212 | − | 8.07387i | 0.0695766 | − | 0.300063i | ||||
\(725\) | −2.97642 | − | 1.23287i | −0.110541 | − | 0.0457877i | ||||
\(726\) | 13.5902 | − | 6.99122i | 0.504380 | − | 0.259469i | ||||
\(727\) | −24.0210 | + | 24.0210i | −0.890889 | + | 0.890889i | −0.994607 | − | 0.103718i | \(-0.966926\pi\) |
0.103718 | + | 0.994607i | \(0.466926\pi\) | |||||||
\(728\) | 10.6966 | − | 7.96371i | 0.396443 | − | 0.295155i | ||||
\(729\) | −5.31466 | − | 5.31466i | −0.196839 | − | 0.196839i | ||||
\(730\) | 7.07382 | + | 2.26807i | 0.261814 | + | 0.0839450i | ||||
\(731\) | 15.0457 | − | 36.3234i | 0.556484 | − | 1.34347i | ||||
\(732\) | 2.75019 | + | 1.96565i | 0.101650 | + | 0.0726526i | ||||
\(733\) | 1.04855 | − | 0.434324i | 0.0387291 | − | 0.0160421i | −0.363235 | − | 0.931698i | \(-0.618328\pi\) |
0.401964 | + | 0.915656i | \(0.368328\pi\) | |||||||
\(734\) | −19.2594 | − | 16.3201i | −0.710878 | − | 0.602385i | ||||
\(735\) | −7.28290 | −0.268634 | ||||||||
\(736\) | −11.2870 | − | 25.8184i | −0.416043 | − | 0.951681i | ||||
\(737\) | 6.04404 | 0.222635 | ||||||||
\(738\) | −4.33885 | − | 3.67666i | −0.159715 | − | 0.135340i | ||||
\(739\) | −26.6229 | + | 11.0276i | −0.979340 | + | 0.405656i | −0.814181 | − | 0.580611i | \(-0.802814\pi\) |
−0.165159 | + | 0.986267i | \(0.552814\pi\) | |||||||
\(740\) | 3.35381 | − | 4.69240i | 0.123289 | − | 0.172496i | ||||
\(741\) | 1.45374 | − | 3.50964i | 0.0534045 | − | 0.128930i | ||||
\(742\) | −46.2871 | − | 14.8410i | −1.69925 | − | 0.544829i | ||||
\(743\) | −14.7874 | − | 14.7874i | −0.542496 | − | 0.542496i | 0.381764 | − | 0.924260i | \(-0.375317\pi\) |
−0.924260 | + | 0.381764i | \(0.875317\pi\) | |||||||
\(744\) | −7.78813 | − | 1.14061i | −0.285527 | − | 0.0418167i | ||||
\(745\) | 7.34314 | − | 7.34314i | 0.269032 | − | 0.269032i | ||||
\(746\) | −15.7144 | + | 8.08394i | −0.575343 | + | 0.295974i | ||||
\(747\) | 7.77830 | + | 3.22188i | 0.284593 | + | 0.117882i | ||||
\(748\) | 72.3781 | + | 16.7826i | 2.64640 | + | 0.613631i | ||||
\(749\) | 16.5858 | + | 40.0416i | 0.606031 | + | 1.46309i | ||||
\(750\) | −0.541133 | − | 6.55020i | −0.0197594 | − | 0.239180i | ||||
\(751\) | − | 42.2832i | − | 1.54294i | −0.636267 | − | 0.771469i | \(-0.719522\pi\) | ||
0.636267 | − | 0.771469i | \(-0.280478\pi\) | |||||||
\(752\) | −16.0363 | − | 46.8631i | −0.584783 | − | 1.70892i | ||||
\(753\) | − | 4.82968i | − | 0.176003i | ||||||
\(754\) | 0.962278 | − | 0.0794969i | 0.0350441 | − | 0.00289511i | ||||
\(755\) | 3.77781 | + | 9.12043i | 0.137488 | + | 0.331926i | ||||
\(756\) | 23.3321 | + | 37.4186i | 0.848580 | + | 1.36090i | ||||
\(757\) | −17.7538 | − | 7.35389i | −0.645275 | − | 0.267282i | 0.0359526 | − | 0.999353i | \(-0.488553\pi\) |
−0.681227 | + | 0.732072i | \(0.738553\pi\) | |||||||
\(758\) | 24.0227 | + | 46.6976i | 0.872543 | + | 1.69613i | ||||
\(759\) | −15.2241 | + | 15.2241i | −0.552601 | + | 0.552601i | ||||
\(760\) | 5.42863 | + | 3.24022i | 0.196917 | + | 0.117535i | ||||
\(761\) | 27.0746 | + | 27.0746i | 0.981454 | + | 0.981454i | 0.999831 | − | 0.0183769i | \(-0.00584986\pi\) |
−0.0183769 | + | 0.999831i | \(0.505850\pi\) | |||||||
\(762\) | −5.53170 | + | 17.2527i | −0.200393 | + | 0.624999i | ||||
\(763\) | 34.1915 | − | 82.5456i | 1.23782 | − | 2.98835i | ||||
\(764\) | −3.78971 | − | 22.7799i | −0.137107 | − | 0.824148i | ||||
\(765\) | −8.30547 | + | 3.44024i | −0.300285 | + | 0.124382i | ||||
\(766\) | −23.9074 | + | 28.2133i | −0.863810 | + | 1.01939i | ||||
\(767\) | 1.74615 | 0.0630498 | ||||||||
\(768\) | −7.15067 | + | 12.5270i | −0.258028 | + | 0.452028i | ||||
\(769\) | −20.2924 | −0.731762 | −0.365881 | − | 0.930662i | \(-0.619232\pi\) | ||||
−0.365881 | + | 0.930662i |