Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,4,Mod(16,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(98))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.16");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.g (of order \(49\), degree \(42\), 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: | \(11.6233762711\) |
Analytic rank: | \(0\) |
Dimension: | \(2058\) |
Relative dimension: | \(49\) over \(\Q(\zeta_{49})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{49}]$ |
Embedding invariants
Embedding label | 16.15 | ||
Character | \(\chi\) | \(=\) | 197.16 |
Dual form | 197.4.g.a.37.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{49}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.49414 | − | 0.160129i | −0.881811 | − | 0.0566141i | −0.383428 | − | 0.923571i | \(-0.625256\pi\) |
−0.498383 | + | 0.866957i | \(0.666073\pi\) | |||||||
\(3\) | 3.29572 | − | 4.72466i | 0.634262 | − | 0.909262i | −0.365506 | − | 0.930809i | \(-0.619104\pi\) |
0.999768 | + | 0.0215470i | \(0.00685916\pi\) | |||||||
\(4\) | −1.73924 | − | 0.224250i | −0.217405 | − | 0.0280312i | ||||
\(5\) | −1.21612 | + | 0.791603i | −0.108773 | + | 0.0708031i | −0.598771 | − | 0.800920i | \(-0.704344\pi\) |
0.489999 | + | 0.871723i | \(0.336997\pi\) | |||||||
\(6\) | −8.97654 | + | 11.2562i | −0.610776 | + | 0.765889i | ||||
\(7\) | −20.1994 | + | 1.29684i | −1.09066 | + | 0.0700230i | −0.598990 | − | 0.800756i | \(-0.704431\pi\) |
−0.491674 | + | 0.870779i | \(0.663615\pi\) | |||||||
\(8\) | 23.9275 | + | 4.65987i | 1.05745 | + | 0.205939i | ||||
\(9\) | −2.13581 | − | 5.80370i | −0.0791042 | − | 0.214952i | ||||
\(10\) | 3.15992 | − | 1.77963i | 0.0999254 | − | 0.0562769i | ||||
\(11\) | −2.62992 | + | 8.86106i | −0.0720863 | + | 0.242883i | −0.986988 | − | 0.160794i | \(-0.948595\pi\) |
0.914902 | + | 0.403677i | \(0.132268\pi\) | |||||||
\(12\) | −6.79155 | + | 7.47825i | −0.163379 | + | 0.179899i | ||||
\(13\) | −1.38383 | + | 43.1530i | −0.0295236 | + | 0.920653i | 0.872409 | + | 0.488776i | \(0.162557\pi\) |
−0.901933 | + | 0.431877i | \(0.857852\pi\) | |||||||
\(14\) | 50.5877 | 0.965724 | ||||||||
\(15\) | −0.267917 | + | 8.35464i | −0.00461172 | + | 0.143811i | ||||
\(16\) | −45.3620 | − | 11.8953i | −0.708781 | − | 0.185864i | ||||
\(17\) | 13.1947 | + | 12.7783i | 0.188246 | + | 0.182306i | 0.783808 | − | 0.621004i | \(-0.213275\pi\) |
−0.595562 | + | 0.803309i | \(0.703071\pi\) | |||||||
\(18\) | 4.39767 | + | 14.8172i | 0.0575857 | + | 0.194025i | ||||
\(19\) | 92.8328 | + | 44.7059i | 1.12091 | + | 0.539802i | 0.900174 | − | 0.435531i | \(-0.143439\pi\) |
0.220737 | + | 0.975333i | \(0.429154\pi\) | |||||||
\(20\) | 2.29263 | − | 1.10407i | 0.0256324 | − | 0.0123439i | ||||
\(21\) | −60.4444 | + | 99.7093i | −0.628097 | + | 1.03611i | ||||
\(22\) | 7.97829 | − | 21.6796i | 0.0773171 | − | 0.210096i | ||||
\(23\) | −29.7119 | − | 183.778i | −0.269363 | − | 1.66611i | −0.664351 | − | 0.747421i | \(-0.731292\pi\) |
0.394988 | − | 0.918686i | \(-0.370749\pi\) | |||||||
\(24\) | 100.875 | − | 97.6916i | 0.857956 | − | 0.830884i | ||||
\(25\) | −49.7456 | + | 112.376i | −0.397965 | + | 0.899010i | ||||
\(26\) | 10.3615 | − | 107.408i | 0.0781562 | − | 0.810170i | ||||
\(27\) | 115.989 | + | 30.4159i | 0.826745 | + | 0.216798i | ||||
\(28\) | 35.4223 | + | 2.27419i | 0.239078 | + | 0.0153493i | ||||
\(29\) | −1.31638 | + | 1.44948i | −0.00842915 | + | 0.00928143i | −0.744478 | − | 0.667647i | \(-0.767302\pi\) |
0.736049 | + | 0.676928i | \(0.236689\pi\) | |||||||
\(30\) | 2.00604 | − | 20.7947i | 0.0122084 | − | 0.126553i | ||||
\(31\) | 38.1269 | − | 15.4359i | 0.220897 | − | 0.0894312i | −0.262145 | − | 0.965028i | \(-0.584430\pi\) |
0.483042 | + | 0.875597i | \(0.339532\pi\) | |||||||
\(32\) | −73.8468 | − | 24.5188i | −0.407950 | − | 0.135449i | ||||
\(33\) | 33.1981 | + | 41.6290i | 0.175122 | + | 0.219597i | ||||
\(34\) | −30.8631 | − | 33.9837i | −0.155676 | − | 0.171417i | ||||
\(35\) | 23.5382 | − | 17.5670i | 0.113677 | − | 0.0848391i | ||||
\(36\) | 2.41321 | + | 10.5730i | 0.0111723 | + | 0.0489489i | ||||
\(37\) | 365.767 | − | 95.9155i | 1.62518 | − | 0.426173i | 0.674988 | − | 0.737829i | \(-0.264149\pi\) |
0.950195 | + | 0.311655i | \(0.100883\pi\) | |||||||
\(38\) | −224.379 | − | 126.368i | −0.957871 | − | 0.539463i | ||||
\(39\) | 199.323 | + | 148.758i | 0.818389 | + | 0.610780i | ||||
\(40\) | −32.7873 | + | 13.2741i | −0.129603 | + | 0.0524705i | ||||
\(41\) | 232.111 | + | 224.787i | 0.884136 | + | 0.856238i | 0.990419 | − | 0.138098i | \(-0.0440989\pi\) |
−0.106283 | + | 0.994336i | \(0.533895\pi\) | |||||||
\(42\) | 166.723 | − | 239.010i | 0.612522 | − | 0.878096i | ||||
\(43\) | −65.0403 | + | 219.142i | −0.230664 | + | 0.777184i | 0.761047 | + | 0.648697i | \(0.224686\pi\) |
−0.991711 | + | 0.128487i | \(0.958988\pi\) | |||||||
\(44\) | 6.56114 | − | 14.8217i | 0.0224802 | − | 0.0507832i | ||||
\(45\) | 7.19162 | + | 5.36725i | 0.0238236 | + | 0.0177800i | ||||
\(46\) | 44.6773 | + | 463.127i | 0.143202 | + | 1.48444i | ||||
\(47\) | 241.684 | + | 463.263i | 0.750069 | + | 1.43774i | 0.893959 | + | 0.448149i | \(0.147917\pi\) |
−0.143890 | + | 0.989594i | \(0.545961\pi\) | |||||||
\(48\) | −205.702 | + | 175.116i | −0.618552 | + | 0.526581i | ||||
\(49\) | 66.1495 | − | 8.52903i | 0.192856 | − | 0.0248660i | ||||
\(50\) | 142.067 | − | 272.316i | 0.401826 | − | 0.770226i | ||||
\(51\) | 103.859 | − | 20.2266i | 0.285161 | − | 0.0555350i | ||||
\(52\) | 12.0839 | − | 74.7430i | 0.0322256 | − | 0.199327i | ||||
\(53\) | 58.9841 | + | 611.432i | 0.152870 | + | 1.58465i | 0.678928 | + | 0.734205i | \(0.262445\pi\) |
−0.526058 | + | 0.850449i | \(0.676331\pi\) | |||||||
\(54\) | −284.422 | − | 94.4348i | −0.716759 | − | 0.237980i | ||||
\(55\) | −3.81616 | − | 12.8579i | −0.00935584 | − | 0.0315229i | ||||
\(56\) | −489.363 | − | 63.0964i | −1.16775 | − | 0.150564i | ||||
\(57\) | 517.171 | − | 291.266i | 1.20177 | − | 0.676826i | ||||
\(58\) | 3.51533 | − | 3.40441i | 0.00795837 | − | 0.00770725i | ||||
\(59\) | 406.988 | + | 229.211i | 0.898056 | + | 0.505776i | 0.869565 | − | 0.493818i | \(-0.164399\pi\) |
0.0284910 | + | 0.999594i | \(0.490930\pi\) | |||||||
\(60\) | 2.33950 | − | 14.4706i | 0.00503380 | − | 0.0311358i | ||||
\(61\) | −399.617 | − | 572.881i | −0.838782 | − | 1.20246i | −0.977250 | − | 0.212090i | \(-0.931973\pi\) |
0.138468 | − | 0.990367i | \(-0.455782\pi\) | |||||||
\(62\) | −97.5655 | + | 32.3940i | −0.199852 | + | 0.0663555i | ||||
\(63\) | 50.6686 | + | 114.461i | 0.101328 | + | 0.228901i | ||||
\(64\) | 528.005 | + | 213.766i | 1.03126 | + | 0.417511i | ||||
\(65\) | −32.4772 | − | 53.5745i | −0.0619738 | − | 0.102232i | ||||
\(66\) | −76.1345 | − | 109.145i | −0.141993 | − | 0.203557i | ||||
\(67\) | −241.863 | − | 463.607i | −0.441020 | − | 0.845352i | −0.999871 | − | 0.0160842i | \(-0.994880\pi\) |
0.558851 | − | 0.829268i | \(-0.311242\pi\) | |||||||
\(68\) | −20.0831 | − | 25.1834i | −0.0358152 | − | 0.0449109i | ||||
\(69\) | −966.213 | − | 465.304i | −1.68577 | − | 0.811826i | ||||
\(70\) | −61.5205 | + | 40.0454i | −0.105044 | + | 0.0683763i | ||||
\(71\) | 36.3880 | + | 98.8779i | 0.0608234 | + | 0.165277i | 0.965235 | − | 0.261385i | \(-0.0841792\pi\) |
−0.904411 | + | 0.426662i | \(0.859689\pi\) | |||||||
\(72\) | −24.0601 | − | 148.820i | −0.0393821 | − | 0.243592i | ||||
\(73\) | −845.961 | + | 221.837i | −1.35633 | + | 0.355672i | −0.859039 | − | 0.511910i | \(-0.828938\pi\) |
−0.497293 | + | 0.867583i | \(0.665673\pi\) | |||||||
\(74\) | −927.633 | + | 180.657i | −1.45723 | + | 0.283796i | ||||
\(75\) | 366.992 | + | 605.392i | 0.565021 | + | 0.932062i | ||||
\(76\) | −151.433 | − | 98.5720i | −0.228560 | − | 0.148776i | ||||
\(77\) | 41.6313 | − | 182.399i | 0.0616146 | − | 0.269951i | ||||
\(78\) | −473.318 | − | 402.941i | −0.687086 | − | 0.584925i | ||||
\(79\) | 256.860 | + | 167.197i | 0.365810 | + | 0.238116i | 0.715290 | − | 0.698828i | \(-0.246295\pi\) |
−0.349480 | + | 0.936944i | \(0.613642\pi\) | |||||||
\(80\) | 64.5817 | − | 21.4426i | 0.0902557 | − | 0.0299670i | ||||
\(81\) | 653.115 | − | 556.005i | 0.895905 | − | 0.762695i | ||||
\(82\) | −542.921 | − | 597.816i | −0.731166 | − | 0.805095i | ||||
\(83\) | −744.089 | + | 358.335i | −0.984029 | + | 0.473884i | −0.855489 | − | 0.517821i | \(-0.826743\pi\) |
−0.128540 | + | 0.991704i | \(0.541029\pi\) | |||||||
\(84\) | 127.487 | − | 159.864i | 0.165595 | − | 0.207649i | ||||
\(85\) | −26.1616 | − | 5.09497i | −0.0333838 | − | 0.00650149i | ||||
\(86\) | 197.311 | − | 536.157i | 0.247402 | − | 0.672270i | ||||
\(87\) | 2.50988 | + | 10.9965i | 0.00309296 | + | 0.0135512i | ||||
\(88\) | −104.219 | + | 199.768i | −0.126247 | + | 0.241992i | ||||
\(89\) | 908.339 | + | 367.746i | 1.08184 | + | 0.437988i | 0.845660 | − | 0.533721i | \(-0.179207\pi\) |
0.236179 | + | 0.971710i | \(0.424105\pi\) | |||||||
\(90\) | −17.0774 | − | 14.5382i | −0.0200013 | − | 0.0170274i | ||||
\(91\) | −28.0101 | − | 873.459i | −0.0322666 | − | 1.00619i | ||||
\(92\) | 10.4637 | + | 326.297i | 0.0118578 | + | 0.369770i | ||||
\(93\) | 52.7264 | − | 231.009i | 0.0587900 | − | 0.257576i | ||||
\(94\) | −528.612 | − | 1194.14i | −0.580023 | − | 1.31028i | ||||
\(95\) | −148.285 | + | 19.1192i | −0.160144 | + | 0.0206483i | ||||
\(96\) | −359.222 | + | 268.094i | −0.381905 | + | 0.285023i | ||||
\(97\) | 91.0775 | − | 150.242i | 0.0953353 | − | 0.157266i | −0.803852 | − | 0.594829i | \(-0.797220\pi\) |
0.899187 | + | 0.437564i | \(0.144159\pi\) | |||||||
\(98\) | −166.352 | + | 10.6801i | −0.171470 | + | 0.0110087i | ||||
\(99\) | 57.0439 | − | 3.66234i | 0.0579104 | − | 0.00371797i | ||||
\(100\) | 111.720 | − | 184.293i | 0.111720 | − | 0.184293i | ||||
\(101\) | −1568.57 | + | 1170.65i | −1.54533 | + | 1.15331i | −0.613906 | + | 0.789379i | \(0.710403\pi\) |
−0.931426 | + | 0.363932i | \(0.881434\pi\) | |||||||
\(102\) | −262.278 | + | 33.8170i | −0.254602 | + | 0.0328273i | ||||
\(103\) | −189.351 | − | 427.747i | −0.181139 | − | 0.409196i | 0.800660 | − | 0.599119i | \(-0.204482\pi\) |
−0.981799 | + | 0.189923i | \(0.939176\pi\) | |||||||
\(104\) | −234.199 | + | 1026.09i | −0.220818 | + | 0.967469i | ||||
\(105\) | −5.42290 | − | 169.106i | −0.00504020 | − | 0.157172i | ||||
\(106\) | −49.2065 | − | 1534.44i | −0.0450883 | − | 1.40602i | ||||
\(107\) | −1408.37 | − | 1198.97i | −1.27245 | − | 1.08326i | −0.992372 | − | 0.123281i | \(-0.960658\pi\) |
−0.280083 | − | 0.959976i | \(-0.590362\pi\) | |||||||
\(108\) | −194.912 | − | 78.9111i | −0.173661 | − | 0.0703076i | ||||
\(109\) | −501.014 | + | 960.350i | −0.440261 | + | 0.843897i | 0.559624 | + | 0.828746i | \(0.310945\pi\) |
−0.999885 | + | 0.0151511i | \(0.995177\pi\) | |||||||
\(110\) | 7.45911 | + | 32.6805i | 0.00646544 | + | 0.0283269i | ||||
\(111\) | 752.299 | − | 2044.24i | 0.643289 | − | 1.74802i | ||||
\(112\) | 931.710 | + | 181.451i | 0.786057 | + | 0.153084i | ||||
\(113\) | −411.714 | + | 516.272i | −0.342750 | + | 0.429795i | −0.923093 | − | 0.384577i | \(-0.874347\pi\) |
0.580343 | + | 0.814372i | \(0.302919\pi\) | |||||||
\(114\) | −1336.54 | + | 643.642i | −1.09805 | + | 0.528795i | ||||
\(115\) | 181.613 | + | 199.976i | 0.147265 | + | 0.162155i | ||||
\(116\) | 2.61454 | − | 2.22579i | 0.00209271 | − | 0.00178155i | ||||
\(117\) | 253.403 | − | 84.1354i | 0.200231 | − | 0.0664814i | ||||
\(118\) | −978.381 | − | 636.855i | −0.763282 | − | 0.496841i | ||||
\(119\) | −283.096 | − | 241.003i | −0.218078 | − | 0.185653i | ||||
\(120\) | −45.3421 | + | 198.657i | −0.0344929 | + | 0.151123i | ||||
\(121\) | 1043.89 | + | 679.499i | 0.784293 | + | 0.510518i | ||||
\(122\) | 904.965 | + | 1492.83i | 0.671571 | + | 1.10783i | ||||
\(123\) | 1827.01 | − | 355.811i | 1.33932 | − | 0.260832i | ||||
\(124\) | −69.7733 | + | 18.2967i | −0.0505308 | + | 0.0132507i | ||||
\(125\) | −57.4096 | − | 355.099i | −0.0410790 | − | 0.254088i | ||||
\(126\) | −108.046 | − | 293.596i | −0.0763928 | − | 0.207584i | ||||
\(127\) | 1542.10 | − | 1003.80i | 1.07747 | − | 0.701358i | 0.120847 | − | 0.992671i | \(-0.461439\pi\) |
0.956628 | + | 0.291313i | \(0.0940922\pi\) | |||||||
\(128\) | −721.847 | − | 347.623i | −0.498460 | − | 0.240045i | ||||
\(129\) | 821.020 | + | 1029.53i | 0.560362 | + | 0.702672i | ||||
\(130\) | 72.4237 | + | 138.823i | 0.0488614 | + | 0.0936581i | ||||
\(131\) | 1410.09 | + | 2021.47i | 0.940459 | + | 1.34822i | 0.937412 | + | 0.348223i | \(0.113215\pi\) |
0.00304752 | + | 0.999995i | \(0.499030\pi\) | |||||||
\(132\) | −48.4040 | − | 79.8475i | −0.0319169 | − | 0.0526502i | ||||
\(133\) | −1933.14 | − | 782.643i | −1.26034 | − | 0.510254i | ||||
\(134\) | 529.004 | + | 1195.03i | 0.341037 | + | 0.770409i | ||||
\(135\) | −165.134 | + | 54.8281i | −0.105277 | + | 0.0349545i | ||||
\(136\) | 256.169 | + | 367.238i | 0.161517 | + | 0.231547i | ||||
\(137\) | −153.069 | + | 946.787i | −0.0954568 | + | 0.590434i | 0.894277 | + | 0.447513i | \(0.147690\pi\) |
−0.989734 | + | 0.142921i | \(0.954351\pi\) | |||||||
\(138\) | 2335.36 | + | 1315.25i | 1.44057 | + | 0.811316i | ||||
\(139\) | −1346.35 | + | 1303.87i | −0.821555 | + | 0.795632i | −0.981494 | − | 0.191495i | \(-0.938666\pi\) |
0.159938 | + | 0.987127i | \(0.448870\pi\) | |||||||
\(140\) | −44.8779 | + | 25.2748i | −0.0270920 | + | 0.0152579i | ||||
\(141\) | 2985.29 | + | 384.910i | 1.78302 | + | 0.229896i | ||||
\(142\) | −74.9235 | − | 252.442i | −0.0442777 | − | 0.149186i | ||||
\(143\) | −378.742 | − | 125.751i | −0.221482 | − | 0.0735373i | ||||
\(144\) | 27.8480 | + | 288.673i | 0.0161157 | + | 0.167056i | ||||
\(145\) | 0.453455 | − | 2.80478i | 0.000259706 | − | 0.00160638i | ||||
\(146\) | 2145.47 | − | 417.829i | 1.21616 | − | 0.236848i | ||||
\(147\) | 177.713 | − | 340.643i | 0.0997112 | − | 0.191128i | ||||
\(148\) | −657.665 | + | 84.7966i | −0.365269 | + | 0.0470962i | ||||
\(149\) | −123.850 | + | 105.435i | −0.0680952 | + | 0.0579703i | −0.681628 | − | 0.731699i | \(-0.738728\pi\) |
0.613532 | + | 0.789669i | \(0.289748\pi\) | |||||||
\(150\) | −818.388 | − | 1568.70i | −0.445474 | − | 0.853891i | ||||
\(151\) | −113.280 | − | 1174.26i | −0.0610501 | − | 0.632848i | −0.974270 | − | 0.225382i | \(-0.927637\pi\) |
0.913220 | − | 0.407466i | \(-0.133588\pi\) | |||||||
\(152\) | 2012.93 | + | 1502.29i | 1.07415 | + | 0.801656i | ||||
\(153\) | 45.9801 | − | 103.870i | 0.0242959 | − | 0.0548849i | ||||
\(154\) | −133.041 | + | 448.261i | −0.0696155 | + | 0.234558i | ||||
\(155\) | −34.1476 | + | 48.9532i | −0.0176955 | + | 0.0253678i | ||||
\(156\) | −313.310 | − | 303.424i | −0.160801 | − | 0.155727i | ||||
\(157\) | 1125.56 | − | 455.687i | 0.572160 | − | 0.231642i | −0.0708665 | − | 0.997486i | \(-0.522576\pi\) |
0.643027 | + | 0.765844i | \(0.277678\pi\) | |||||||
\(158\) | −613.870 | − | 458.143i | −0.309094 | − | 0.230683i | ||||
\(159\) | 3083.21 | + | 1736.43i | 1.53782 | + | 0.866087i | ||||
\(160\) | 109.215 | − | 28.6397i | 0.0539640 | − | 0.0141510i | ||||
\(161\) | 838.494 | + | 3673.68i | 0.410451 | + | 1.79830i | ||||
\(162\) | −1717.99 | + | 1282.17i | −0.833198 | + | 0.621832i | ||||
\(163\) | 1208.91 | + | 1331.14i | 0.580914 | + | 0.639651i | 0.958082 | − | 0.286494i | \(-0.0924898\pi\) |
−0.377168 | + | 0.926145i | \(0.623102\pi\) | |||||||
\(164\) | −353.287 | − | 443.008i | −0.168214 | − | 0.210934i | ||||
\(165\) | −73.3263 | − | 24.3460i | −0.0345967 | − | 0.0114869i | ||||
\(166\) | 1913.24 | − | 774.586i | 0.894556 | − | 0.362166i | ||||
\(167\) | −35.5632 | + | 368.650i | −0.0164788 | + | 0.170820i | −0.999947 | − | 0.0102587i | \(-0.996735\pi\) |
0.983469 | + | 0.181079i | \(0.0579590\pi\) | |||||||
\(168\) | −1910.91 | + | 2104.13i | −0.877561 | + | 0.966292i | ||||
\(169\) | 332.219 | + | 21.3292i | 0.151215 | + | 0.00970832i | ||||
\(170\) | 64.4347 | + | 16.8968i | 0.0290701 | + | 0.00762308i | ||||
\(171\) | 61.1860 | − | 634.257i | 0.0273626 | − | 0.283642i | ||||
\(172\) | 162.263 | − | 366.555i | 0.0719329 | − | 0.162498i | ||||
\(173\) | 79.8351 | − | 77.3160i | 0.0350853 | − | 0.0339782i | −0.677932 | − | 0.735124i | \(-0.737124\pi\) |
0.713018 | + | 0.701146i | \(0.247328\pi\) | |||||||
\(174\) | −4.49913 | − | 27.8287i | −0.00196022 | − | 0.0121247i | ||||
\(175\) | 859.097 | − | 2334.44i | 0.371095 | − | 1.00838i | ||||
\(176\) | 224.703 | − | 370.671i | 0.0962366 | − | 0.158752i | ||||
\(177\) | 2424.26 | − | 1167.46i | 1.02949 | − | 0.495774i | ||||
\(178\) | −2206.64 | − | 1062.66i | −0.929182 | − | 0.447470i | ||||
\(179\) | −510.336 | − | 1719.49i | −0.213097 | − | 0.717993i | −0.995461 | − | 0.0951721i | \(-0.969660\pi\) |
0.782364 | − | 0.622821i | \(-0.214014\pi\) | |||||||
\(180\) | −11.3043 | − | 10.9476i | −0.00468097 | − | 0.00453327i | ||||
\(181\) | −115.591 | − | 30.3115i | −0.0474685 | − | 0.0124477i | 0.229844 | − | 0.973227i | \(-0.426178\pi\) |
−0.277312 | + | 0.960780i | \(0.589444\pi\) | |||||||
\(182\) | −70.0049 | + | 2183.01i | −0.0285116 | + | 0.889097i | ||||
\(183\) | −4023.69 | −1.62536 | ||||||||
\(184\) | 145.454 | − | 4535.81i | 0.0582774 | − | 1.81730i | ||||
\(185\) | −368.888 | + | 406.187i | −0.146601 | + | 0.161424i | ||||
\(186\) | −168.498 | + | 567.726i | −0.0664241 | + | 0.223805i | ||||
\(187\) | −147.930 | + | 83.3128i | −0.0578488 | + | 0.0325799i | ||||
\(188\) | −316.459 | − | 859.922i | −0.122767 | − | 0.333597i | ||||
\(189\) | −2382.35 | − | 463.963i | −0.916882 | − | 0.178563i | ||||
\(190\) | 372.904 | − | 23.9412i | 0.142386 | − | 0.00914147i | ||||
\(191\) | −304.178 | + | 381.427i | −0.115233 | + | 0.144498i | −0.836103 | − | 0.548573i | \(-0.815171\pi\) |
0.720869 | + | 0.693071i | \(0.243743\pi\) | |||||||
\(192\) | 2750.13 | − | 1790.14i | 1.03372 | − | 0.672874i | ||||
\(193\) | −1358.05 | − | 175.101i | −0.506500 | − | 0.0653059i | −0.129612 | − | 0.991565i | \(-0.541373\pi\) |
−0.376888 | + | 0.926259i | \(0.623006\pi\) | |||||||
\(194\) | −251.218 | + | 360.140i | −0.0929712 | + | 0.133281i | ||||
\(195\) | −360.157 | − | 23.1228i | −0.132263 | − | 0.00849160i | ||||
\(196\) | −116.962 | −0.0426247 | ||||||||
\(197\) | 169.378 | − | 2759.83i | 0.0612572 | − | 0.998122i | ||||
\(198\) | −142.862 | −0.0512765 | ||||||||
\(199\) | 2506.49 | + | 160.922i | 0.892867 | + | 0.0573240i | 0.503735 | − | 0.863858i | \(-0.331959\pi\) |
0.389132 | + | 0.921182i | \(0.372775\pi\) | |||||||
\(200\) | −1713.95 | + | 2457.07i | −0.605971 | + | 0.868705i | ||||
\(201\) | −2987.50 | − | 385.196i | −1.04837 | − | 0.135172i | ||||
\(202\) | 4099.68 | − | 2668.60i | 1.42798 | − | 0.929515i | ||||
\(203\) | 24.7103 | − | 30.9857i | 0.00854346 | − | 0.0107132i | ||||
\(204\) | −185.172 | + | 11.8884i | −0.0635520 | + | 0.00408017i | ||||
\(205\) | −460.215 | − | 89.6268i | −0.156794 | − | 0.0305357i | ||||
\(206\) | 403.772 | + | 1097.18i | 0.136564 | + | 0.371088i | ||||
\(207\) | −1003.14 | + | 564.955i | −0.336825 | + | 0.189696i | ||||
\(208\) | 576.092 | − | 1941.04i | 0.192042 | − | 0.647054i | ||||
\(209\) | −640.284 | + | 705.024i | −0.211911 | + | 0.233338i | ||||
\(210\) | −13.5533 | + | 422.642i | −0.00445365 | + | 0.138881i | ||||
\(211\) | 468.926 | 0.152996 | 0.0764981 | − | 0.997070i | \(-0.475626\pi\) | ||||
0.0764981 | + | 0.997070i | \(0.475626\pi\) | |||||||
\(212\) | 34.5261 | − | 1076.65i | 0.0111852 | − | 0.348796i | ||||
\(213\) | 587.090 | + | 153.953i | 0.188858 | + | 0.0495244i | ||||
\(214\) | 3320.69 | + | 3215.91i | 1.06074 | + | 1.02727i | ||||
\(215\) | −94.3773 | − | 317.989i | −0.0299371 | − | 0.100868i | ||||
\(216\) | 2633.59 | + | 1268.27i | 0.829598 | + | 0.399513i | ||||
\(217\) | −750.123 | + | 361.240i | −0.234662 | + | 0.113007i | ||||
\(218\) | 1403.38 | − | 2315.02i | 0.436003 | − | 0.719233i | ||||
\(219\) | −1739.95 | + | 4727.99i | −0.536870 | + | 1.45885i | ||||
\(220\) | 3.75383 | + | 23.2187i | 0.00115038 | + | 0.00711549i | ||||
\(221\) | −569.682 | + | 551.706i | −0.173398 | + | 0.167927i | ||||
\(222\) | −2203.68 | + | 4978.15i | −0.666222 | + | 1.50501i | ||||
\(223\) | 312.086 | − | 3235.10i | 0.0937168 | − | 0.971473i | −0.821957 | − | 0.569550i | \(-0.807118\pi\) |
0.915674 | − | 0.401923i | \(-0.131658\pi\) | |||||||
\(224\) | 1523.46 | + | 399.498i | 0.454421 | + | 0.119163i | ||||
\(225\) | 758.445 | + | 48.6938i | 0.224724 | + | 0.0144278i | ||||
\(226\) | 1109.54 | − | 1221.73i | 0.326573 | − | 0.359593i | ||||
\(227\) | −34.9747 | + | 362.549i | −0.0102262 | + | 0.106005i | −0.999080 | − | 0.0428840i | \(-0.986345\pi\) |
0.988854 | + | 0.148890i | \(0.0475699\pi\) | |||||||
\(228\) | −964.800 | + | 390.604i | −0.280243 | + | 0.113458i | ||||
\(229\) | −2501.18 | − | 830.449i | −0.721758 | − | 0.239640i | −0.0694407 | − | 0.997586i | \(-0.522121\pi\) |
−0.652317 | + | 0.757946i | \(0.726203\pi\) | |||||||
\(230\) | −420.945 | − | 527.849i | −0.120680 | − | 0.151327i | ||||
\(231\) | −724.567 | − | 797.829i | −0.206377 | − | 0.227244i | ||||
\(232\) | −38.2520 | + | 28.5482i | −0.0108248 | + | 0.00807879i | ||||
\(233\) | −1101.59 | − | 4826.38i | −0.309732 | − | 1.35702i | −0.854942 | − | 0.518724i | \(-0.826407\pi\) |
0.545210 | − | 0.838300i | \(-0.316450\pi\) | |||||||
\(234\) | −645.493 | + | 169.268i | −0.180330 | + | 0.0472881i | ||||
\(235\) | −660.636 | − | 372.064i | −0.183384 | − | 0.103280i | ||||
\(236\) | −656.448 | − | 489.920i | −0.181064 | − | 0.135132i | ||||
\(237\) | 1636.49 | − | 662.540i | 0.448529 | − | 0.181589i | ||||
\(238\) | 667.488 | + | 646.426i | 0.181793 | + | 0.176057i | ||||
\(239\) | 3009.17 | − | 4313.88i | 0.814424 | − | 1.16754i | −0.168892 | − | 0.985634i | \(-0.554019\pi\) |
0.983316 | − | 0.181904i | \(-0.0582259\pi\) | |||||||
\(240\) | 111.534 | − | 375.796i | 0.0299979 | − | 0.101073i | ||||
\(241\) | −2239.82 | + | 5059.78i | −0.598669 | + | 1.35240i | 0.316216 | + | 0.948687i | \(0.397588\pi\) |
−0.914884 | + | 0.403716i | \(0.867718\pi\) | |||||||
\(242\) | −2494.81 | − | 1861.92i | −0.662695 | − | 0.494582i | ||||
\(243\) | −163.568 | − | 1695.55i | −0.0431805 | − | 0.447611i | ||||
\(244\) | 566.560 | + | 1085.99i | 0.148649 | + | 0.284932i | ||||
\(245\) | −73.6937 | + | 62.7364i | −0.0192168 | + | 0.0163595i | ||||
\(246\) | −4613.80 | + | 594.883i | −1.19579 | + | 0.154180i | ||||
\(247\) | −2057.66 | + | 3944.15i | −0.530064 | + | 1.01603i | ||||
\(248\) | 984.210 | − | 191.675i | 0.252006 | − | 0.0490781i | ||||
\(249\) | −759.301 | + | 4696.54i | −0.193248 | + | 1.19531i | ||||
\(250\) | 86.3258 | + | 894.858i | 0.0218389 | + | 0.226383i | ||||
\(251\) | 2318.90 | + | 769.929i | 0.583139 | + | 0.193615i | 0.591438 | − | 0.806350i | \(-0.298560\pi\) |
−0.00829970 | + | 0.999966i | \(0.502642\pi\) | |||||||
\(252\) | −62.4568 | − | 210.438i | −0.0156127 | − | 0.0526045i | ||||
\(253\) | 1706.61 | + | 220.043i | 0.424086 | + | 0.0546798i | ||||
\(254\) | −4006.95 | + | 2256.67i | −0.989835 | + | 0.557465i | ||||
\(255\) | −110.293 | + | 106.813i | −0.0270856 | + | 0.0262310i | ||||
\(256\) | −2225.96 | − | 1253.63i | −0.543446 | − | 0.306063i | ||||
\(257\) | −756.123 | + | 4676.89i | −0.183524 | + | 1.13516i | 0.715939 | + | 0.698163i | \(0.245999\pi\) |
−0.899463 | + | 0.436997i | \(0.856042\pi\) | |||||||
\(258\) | −1882.88 | − | 2699.25i | −0.454352 | − | 0.651348i | ||||
\(259\) | −7263.89 | + | 2411.78i | −1.74269 | + | 0.578612i | ||||
\(260\) | 44.4714 | + | 100.462i | 0.0106077 | + | 0.0239630i | ||||
\(261\) | 11.2239 | + | 4.54404i | 0.00266184 | + | 0.00107766i | ||||
\(262\) | −3193.26 | − | 5267.62i | −0.752979 | − | 1.24212i | ||||
\(263\) | 2102.76 | + | 3014.46i | 0.493010 | + | 0.706766i | 0.986642 | − | 0.162904i | \(-0.0520862\pi\) |
−0.493632 | + | 0.869671i | \(0.664331\pi\) | |||||||
\(264\) | 600.359 | + | 1150.78i | 0.139960 | + | 0.268278i | ||||
\(265\) | −555.743 | − | 696.880i | −0.128826 | − | 0.161543i | ||||
\(266\) | 4696.20 | + | 2261.57i | 1.08249 | + | 0.521300i | ||||
\(267\) | 4731.11 | − | 3079.61i | 1.08442 | − | 0.705876i | ||||
\(268\) | 316.694 | + | 860.560i | 0.0721835 | + | 0.196146i | ||||
\(269\) | 85.8130 | + | 530.784i | 0.0194502 | + | 0.120306i | 0.995072 | − | 0.0991501i | \(-0.0316124\pi\) |
−0.975622 | + | 0.219457i | \(0.929572\pi\) | |||||||
\(270\) | 420.645 | − | 110.306i | 0.0948136 | − | 0.0248630i | ||||
\(271\) | 4686.85 | − | 912.765i | 1.05058 | − | 0.204600i | 0.363806 | − | 0.931475i | \(-0.381477\pi\) |
0.686770 | + | 0.726875i | \(0.259028\pi\) | |||||||
\(272\) | −446.534 | − | 736.604i | −0.0995407 | − | 0.164203i | ||||
\(273\) | −4219.11 | − | 2746.34i | −0.935356 | − | 0.608850i | ||||
\(274\) | 533.384 | − | 2336.91i | 0.117602 | − | 0.515247i | ||||
\(275\) | −864.946 | − | 736.339i | −0.189666 | − | 0.161465i | ||||
\(276\) | 1576.13 | + | 1025.95i | 0.343739 | + | 0.223749i | ||||
\(277\) | 7266.44 | − | 2412.62i | 1.57617 | − | 0.523323i | 0.612508 | − | 0.790464i | \(-0.290161\pi\) |
0.963657 | + | 0.267141i | \(0.0860791\pi\) | |||||||
\(278\) | 3566.78 | − | 3036.44i | 0.769500 | − | 0.655085i | ||||
\(279\) | −171.017 | − | 188.309i | −0.0366972 | − | 0.0404077i | ||||
\(280\) | 645.069 | − | 310.649i | 0.137680 | − | 0.0663030i | ||||
\(281\) | −4591.85 | + | 5757.99i | −0.974828 | + | 1.22240i | 0.000128928 | 1.00000i | \(0.499959\pi\) | |
−0.974957 | + | 0.222395i | \(0.928612\pi\) | |||||||
\(282\) | −7384.08 | − | 1438.05i | −1.55928 | − | 0.303669i | ||||
\(283\) | −1234.75 | + | 3355.23i | −0.259359 | + | 0.704762i | 0.740120 | + | 0.672475i | \(0.234769\pi\) |
−0.999479 | + | 0.0322866i | \(0.989721\pi\) | |||||||
\(284\) | −41.1140 | − | 180.132i | −0.00859038 | − | 0.0376369i | ||||
\(285\) | −398.373 | + | 763.607i | −0.0827986 | + | 0.158709i | ||||
\(286\) | 924.498 | + | 374.288i | 0.191142 | + | 0.0773850i | ||||
\(287\) | −4980.00 | − | 4239.54i | −1.02425 | − | 0.871958i | ||||
\(288\) | 15.4232 | + | 480.952i | 0.00315563 | + | 0.0984041i | ||||
\(289\) | −146.656 | − | 4573.26i | −0.0298505 | − | 0.930850i | ||||
\(290\) | −1.58011 | + | 6.92290i | −0.000319955 | + | 0.00140182i | ||||
\(291\) | −409.676 | − | 925.466i | −0.0825280 | − | 0.186432i | ||||
\(292\) | 1521.07 | − | 196.121i | 0.304843 | − | 0.0393051i | ||||
\(293\) | 1734.29 | − | 1294.33i | 0.345796 | − | 0.258074i | −0.411127 | − | 0.911578i | \(-0.634865\pi\) |
0.756923 | + | 0.653504i | \(0.226702\pi\) | |||||||
\(294\) | −497.788 | + | 821.154i | −0.0987470 | + | 0.162893i | ||||
\(295\) | −676.389 | + | 43.4256i | −0.133494 | + | 0.00857063i | ||||
\(296\) | 9198.84 | − | 590.585i | 1.80632 | − | 0.115970i | ||||
\(297\) | −574.559 | + | 947.795i | −0.112254 | + | 0.185174i | ||||
\(298\) | 325.782 | − | 243.137i | 0.0633290 | − | 0.0472637i | ||||
\(299\) | 7971.71 | − | 1027.84i | 1.54186 | − | 0.198801i | ||||
\(300\) | −502.527 | − | 1135.22i | −0.0967114 | − | 0.218473i | ||||
\(301\) | 1029.58 | − | 4510.89i | 0.197156 | − | 0.863799i | ||||
\(302\) | 94.5017 | + | 2946.91i | 0.0180065 | + | 0.561509i | ||||
\(303\) | 361.378 | + | 11269.1i | 0.0685170 | + | 2.13661i | ||||
\(304\) | −3679.29 | − | 3132.22i | −0.694150 | − | 0.590939i | ||||
\(305\) | 939.474 | + | 380.351i | 0.176374 | + | 0.0714060i | ||||
\(306\) | −131.313 | + | 251.703i | −0.0245316 | + | 0.0470226i | ||||
\(307\) | −1425.93 | − | 6247.42i | −0.265089 | − | 1.16143i | −0.915650 | − | 0.401977i | \(-0.868323\pi\) |
0.650561 | − | 0.759454i | \(-0.274534\pi\) | |||||||
\(308\) | −113.310 | + | 307.899i | −0.0209624 | + | 0.0569615i | ||||
\(309\) | −2645.01 | − | 515.115i | −0.486955 | − | 0.0948345i | ||||
\(310\) | 93.0077 | − | 116.628i | 0.0170403 | − | 0.0213678i | ||||
\(311\) | −877.852 | + | 422.751i | −0.160059 | + | 0.0770805i | −0.512198 | − | 0.858867i | \(-0.671169\pi\) |
0.352139 | + | 0.935948i | \(0.385454\pi\) | |||||||
\(312\) | 4076.09 | + | 4488.23i | 0.739626 | + | 0.814410i | ||||
\(313\) | 3618.99 | − | 3080.89i | 0.653538 | − | 0.556365i | −0.258734 | − | 0.965948i | \(-0.583305\pi\) |
0.912273 | + | 0.409583i | \(0.134326\pi\) | |||||||
\(314\) | −2880.26 | + | 956.312i | −0.517651 | + | 0.171872i | ||||
\(315\) | −152.227 | − | 99.0887i | −0.0272286 | − | 0.0177239i | ||||
\(316\) | −409.246 | − | 348.396i | −0.0728540 | − | 0.0620215i | ||||
\(317\) | 106.648 | − | 467.257i | 0.0188958 | − | 0.0827879i | −0.964601 | − | 0.263714i | \(-0.915052\pi\) |
0.983497 | + | 0.180926i | \(0.0579096\pi\) | |||||||
\(318\) | −7411.89 | − | 4824.60i | −1.30704 | − | 0.850787i | ||||
\(319\) | −9.38195 | − | 15.4765i | −0.00164667 | − | 0.00271636i | ||||
\(320\) | −811.333 | + | 158.007i | −0.141734 | + | 0.0276027i | ||||
\(321\) | −10306.3 | + | 2702.64i | −1.79203 | + | 0.469926i | ||||
\(322\) | −1503.06 | − | 9296.93i | −0.260131 | − | 1.60900i | ||||
\(323\) | 653.631 | + | 1776.13i | 0.112598 | + | 0.305964i | ||||
\(324\) | −1260.61 | + | 820.563i | −0.216153 | + | 0.140700i | ||||
\(325\) | −4780.53 | − | 2302.18i | −0.815927 | − | 0.392930i | ||||
\(326\) | −2802.03 | − | 3513.63i | −0.476043 | − | 0.596939i | ||||
\(327\) | 2886.13 | + | 5532.17i | 0.488083 | + | 0.935564i | ||||
\(328\) | 4506.34 | + | 6460.18i | 0.758601 | + | 1.08751i | ||||
\(329\) | −5482.65 | − | 9044.21i | −0.918749 | − | 1.51557i | ||||
\(330\) | 178.988 | + | 72.4640i | 0.0298574 | + | 0.0120879i | ||||
\(331\) | −2269.62 | − | 5127.11i | −0.376887 | − | 0.851394i | −0.997722 | − | 0.0674529i | \(-0.978513\pi\) |
0.620836 | − | 0.783941i | \(-0.286793\pi\) | |||||||
\(332\) | 1374.50 | − | 456.367i | 0.227216 | − | 0.0754409i | ||||
\(333\) | −1337.88 | − | 1917.94i | −0.220166 | − | 0.315624i | ||||
\(334\) | 147.731 | − | 913.770i | 0.0242021 | − | 0.149698i | ||||
\(335\) | 661.127 | + | 372.340i | 0.107824 | + | 0.0607256i | ||||
\(336\) | 3927.95 | − | 3804.01i | 0.637759 | − | 0.617636i | ||||
\(337\) | 5688.38 | − | 3203.64i | 0.919483 | − | 0.517843i | 0.0428924 | − | 0.999080i | \(-0.486343\pi\) |
0.876591 | + | 0.481236i | \(0.159812\pi\) | |||||||
\(338\) | −825.185 | − | 106.396i | −0.132793 | − | 0.0171218i | ||||
\(339\) | 1082.32 | + | 3646.70i | 0.173403 | + | 0.584252i | ||||
\(340\) | 44.3587 | + | 14.7281i | 0.00707555 | + | 0.00234924i | ||||
\(341\) | 36.5077 | + | 378.440i | 0.00579766 | + | 0.0600988i | ||||
\(342\) | −254.169 | + | 1572.13i | −0.0401868 | + | 0.248570i | ||||
\(343\) | 5489.51 | − | 1069.08i | 0.864156 | − | 0.168294i | ||||
\(344\) | −2577.43 | + | 4940.44i | −0.403969 | + | 0.774334i | ||||
\(345\) | 1543.36 | − | 198.995i | 0.240846 | − | 0.0310537i | ||||
\(346\) | −211.500 | + | 180.053i | −0.0328622 | + | 0.0279760i | ||||
\(347\) | 3699.62 | + | 7091.49i | 0.572352 | + | 1.09709i | 0.982707 | + | 0.185166i | \(0.0592823\pi\) |
−0.410355 | + | 0.911926i | \(0.634595\pi\) | |||||||
\(348\) | −1.89932 | − | 19.6884i | −0.000292569 | − | 0.00303278i | ||||
\(349\) | −8940.45 | − | 6672.43i | −1.37126 | − | 1.02340i | −0.995307 | − | 0.0967635i | \(-0.969151\pi\) |
−0.375956 | − | 0.926637i | \(-0.622686\pi\) | |||||||
\(350\) | −2516.52 | + | 5684.86i | −0.384324 | + | 0.868195i | ||||
\(351\) | −1473.05 | + | 4963.19i | −0.224004 | + | 0.754745i | ||||
\(352\) | 411.474 | − | 589.879i | 0.0623058 | − | 0.0893200i | ||||
\(353\) | −2984.95 | − | 2890.77i | −0.450065 | − | 0.435864i | 0.435634 | − | 0.900124i | \(-0.356524\pi\) |
−0.885699 | + | 0.464260i | \(0.846320\pi\) | |||||||
\(354\) | −6233.40 | + | 2523.62i | −0.935879 | + | 0.378895i | ||||
\(355\) | −122.524 | − | 91.4421i | −0.0183180 | − | 0.0136711i | ||||
\(356\) | −1497.35 | − | 843.292i | −0.222920 | − | 0.125546i | ||||
\(357\) | −2071.66 | + | 543.253i | −0.307126 | + | 0.0805379i | ||||
\(358\) | 997.508 | + | 4370.37i | 0.147262 | + | 0.645199i | ||||
\(359\) | −4539.71 | + | 3388.07i | −0.667401 | + | 0.498094i | −0.877494 | − | 0.479587i | \(-0.840786\pi\) |
0.210094 | + | 0.977681i | \(0.432623\pi\) | |||||||
\(360\) | 147.067 | + | 161.937i | 0.0215308 | + | 0.0237078i | ||||
\(361\) | 2342.79 | + | 2937.77i | 0.341565 | + | 0.428309i | ||||
\(362\) | 283.445 | + | 94.1104i | 0.0411535 | + | 0.0136639i | ||||
\(363\) | 6650.79 | − | 2692.60i | 0.961641 | − | 0.389325i | ||||
\(364\) | −147.157 | + | 1525.43i | −0.0211899 | + | 0.219655i | ||||
\(365\) | 853.179 | − | 939.445i | 0.122349 | − | 0.134720i | ||||
\(366\) | 10035.6 | + | 644.310i | 1.43326 | + | 0.0920181i | ||||
\(367\) | −3113.28 | − | 816.397i | −0.442811 | − | 0.116119i | 0.0255150 | − | 0.999674i | \(-0.491877\pi\) |
−0.468326 | + | 0.883556i | \(0.655143\pi\) | |||||||
\(368\) | −838.312 | + | 8689.98i | −0.118750 | + | 1.23097i | ||||
\(369\) | 808.848 | − | 1827.20i | 0.114111 | − | 0.257779i | ||||
\(370\) | 985.100 | − | 954.017i | 0.138413 | − | 0.134046i | ||||
\(371\) | −1984.37 | − | 12274.1i | −0.277692 | − | 1.71762i | ||||
\(372\) | −143.507 | + | 389.956i | −0.0200014 | + | 0.0543502i | ||||
\(373\) | 4804.73 | − | 7925.90i | 0.666968 | − | 1.10023i | −0.321222 | − | 0.947004i | \(-0.604094\pi\) |
0.988191 | − | 0.153230i | \(-0.0489676\pi\) | |||||||
\(374\) | 382.299 | − | 184.106i | 0.0528562 | − | 0.0254542i | ||||
\(375\) | −1866.93 | − | 899.065i | −0.257087 | − | 0.123807i | ||||
\(376\) | 3624.14 | + | 12210.9i | 0.497077 | + | 1.67482i | ||||
\(377\) | −60.7277 | − | 58.8115i | −0.00829611 | − | 0.00803434i | ||||
\(378\) | 5867.63 | + | 1538.67i | 0.798408 | + | 0.209367i | ||||
\(379\) | 19.4305 | − | 605.916i | 0.00263346 | − | 0.0821209i | −0.997326 | − | 0.0730850i | \(-0.976716\pi\) |
0.999959 | − | 0.00903592i | \(-0.00287626\pi\) | |||||||
\(380\) | 262.190 | 0.0353949 | ||||||||
\(381\) | 339.733 | − | 10594.1i | 0.0456826 | − | 1.42455i | ||||
\(382\) | 819.739 | − | 902.624i | 0.109795 | − | 0.120896i | ||||
\(383\) | −1183.34 | + | 3987.07i | −0.157874 | + | 0.531932i | −0.999973 | − | 0.00739270i | \(-0.997647\pi\) |
0.842098 | + | 0.539324i | \(0.181320\pi\) | |||||||
\(384\) | −4021.41 | + | 2264.81i | −0.534418 | + | 0.300979i | ||||
\(385\) | 93.7589 | + | 254.773i | 0.0124114 | + | 0.0337258i | ||||
\(386\) | 3359.12 | + | 654.189i | 0.442940 | + | 0.0862625i | ||||
\(387\) | 1410.75 | − | 90.5732i | 0.185304 | − | 0.0118969i | ||||
\(388\) | −192.097 | + | 240.882i | −0.0251347 | + | 0.0315179i | ||||
\(389\) | −910.915 | + | 592.940i | −0.118728 | + | 0.0772834i | −0.603529 | − | 0.797341i | \(-0.706239\pi\) |
0.484801 | + | 0.874625i | \(0.338892\pi\) | |||||||
\(390\) | 894.579 | + | 115.343i | 0.116151 | + | 0.0149760i | ||||
\(391\) | 1956.34 | − | 2804.56i | 0.253034 | − | 0.362744i | ||||
\(392\) | 1622.53 | + | 104.170i | 0.209057 | + | 0.0134219i | ||||
\(393\) | 14198.0 | 1.82238 | ||||||||
\(394\) | −864.381 | + | 6856.28i | −0.110525 | + | 0.876687i | ||||
\(395\) | −444.725 | −0.0566494 | ||||||||
\(396\) | −100.034 | − | 6.42241i | −0.0126942 | − | 0.000814995i | ||||
\(397\) | −1627.53 | + | 2333.18i | −0.205751 | + | 0.294960i | −0.909679 | − | 0.415312i | \(-0.863673\pi\) |
0.703928 | + | 0.710271i | \(0.251428\pi\) | |||||||
\(398\) | −6225.77 | − | 802.724i | −0.784095 | − | 0.101098i | ||||
\(399\) | −10068.8 | + | 6554.08i | −1.26334 | + | 0.822341i | ||||
\(400\) | 3593.31 | − | 4505.87i | 0.449164 | − | 0.563233i | ||||
\(401\) | 7042.58 | − | 452.149i | 0.877032 | − | 0.0563073i | 0.380963 | − | 0.924590i | \(-0.375593\pi\) |
0.496069 | + | 0.868283i | \(0.334776\pi\) | |||||||
\(402\) | 7389.56 | + | 1439.12i | 0.916810 | + | 0.178549i | ||||
\(403\) | 613.343 | + | 1666.65i | 0.0758134 | + | 0.206010i | ||||
\(404\) | 2990.63 | − | 1684.29i | 0.368291 | − | 0.207418i | ||||
\(405\) | −354.128 | + | 1193.17i | −0.0434487 | + | 0.146393i | ||||
\(406\) | −66.5925 | + | 73.3258i | −0.00814023 | + | 0.00896330i | ||||
\(407\) | −112.025 | + | 3493.34i | −0.0136434 | + | 0.425450i | ||||
\(408\) | 2579.34 | 0.312981 | ||||||||
\(409\) | −70.5166 | + | 2198.97i | −0.00852524 | + | 0.265848i | 0.986345 | + | 0.164691i | \(0.0526627\pi\) |
−0.994870 | + | 0.101157i | \(0.967745\pi\) | |||||||
\(410\) | 1133.49 | + | 297.235i | 0.136534 | + | 0.0358034i | ||||
\(411\) | 3968.78 | + | 3843.55i | 0.476315 | + | 0.461285i | ||||
\(412\) | 233.404 | + | 786.415i | 0.0279102 | + | 0.0940386i | ||||
\(413\) | −8518.16 | − | 4102.13i | −1.01489 | − | 0.488747i | ||||
\(414\) | 2592.42 | − | 1248.45i | 0.307755 | − | 0.148207i | ||||
\(415\) | 621.240 | − | 1024.80i | 0.0734830 | − | 0.121218i | ||||
\(416\) | 1160.25 | − | 3152.78i | 0.136745 | − | 0.371581i | ||||
\(417\) | 1723.14 | + | 10658.3i | 0.202357 | + | 1.25165i | ||||
\(418\) | 1709.85 | − | 1655.90i | 0.200076 | − | 0.193762i | ||||
\(419\) | −6419.14 | + | 14501.0i | −0.748438 | + | 1.69074i | −0.0256448 | + | 0.999671i | \(0.508164\pi\) |
−0.722793 | + | 0.691064i | \(0.757142\pi\) | |||||||
\(420\) | −28.4903 | + | 295.332i | −0.00330996 | + | 0.0343112i | ||||
\(421\) | −6632.37 | − | 1739.21i | −0.767795 | − | 0.201340i | −0.151075 | − | 0.988522i | \(-0.548274\pi\) |
−0.616720 | + | 0.787183i | \(0.711539\pi\) | |||||||
\(422\) | −1169.57 | − | 75.0886i | −0.134914 | − | 0.00866175i | ||||
\(423\) | 2172.45 | − | 2392.11i | 0.249712 | − | 0.274960i | ||||
\(424\) | −1437.86 | + | 14904.9i | −0.164690 | + | 1.70718i | ||||
\(425\) | −2092.36 | + | 847.101i | −0.238810 | + | 0.0966833i | ||||
\(426\) | −1439.63 | − | 477.990i | −0.163733 | − | 0.0543631i | ||||
\(427\) | 8814.95 | + | 11053.6i | 0.999029 | + | 1.25274i | ||||
\(428\) | 2180.63 | + | 2401.11i | 0.246273 | + | 0.271174i | ||||
\(429\) | −1842.36 | + | 1374.99i | −0.207343 | + | 0.154744i | ||||
\(430\) | 184.471 | + | 808.220i | 0.0206883 | + | 0.0906415i | ||||
\(431\) | 889.967 | − | 233.377i | 0.0994622 | − | 0.0260821i | −0.203588 | − | 0.979057i | \(-0.565260\pi\) |
0.303050 | + | 0.952975i | \(0.401995\pi\) | |||||||
\(432\) | −4899.69 | − | 2759.45i | −0.545686 | − | 0.307325i | ||||
\(433\) | −10999.5 | − | 8209.14i | −1.22079 | − | 0.911099i | −0.222825 | − | 0.974858i | \(-0.571528\pi\) |
−0.997965 | + | 0.0637591i | \(0.979691\pi\) | |||||||
\(434\) | 1928.75 | − | 780.866i | 0.213325 | − | 0.0863658i | ||||
\(435\) | −11.7572 | − | 11.3862i | −0.00129589 | − | 0.00125500i | ||||
\(436\) | 1086.74 | − | 1557.92i | 0.119370 | − | 0.171126i | ||||
\(437\) | 5457.75 | − | 18389.0i | 0.597436 | − | 2.01296i | ||||
\(438\) | 5096.75 | − | 11513.7i | 0.556010 | − | 1.25604i | ||||
\(439\) | 8122.75 | + | 6062.16i | 0.883092 | + | 0.659069i | 0.940689 | − | 0.339271i | \(-0.110180\pi\) |
−0.0575963 | + | 0.998340i | \(0.518344\pi\) | |||||||
\(440\) | −31.3948 | − | 325.440i | −0.00340157 | − | 0.0352608i | ||||
\(441\) | −190.783 | − | 365.695i | −0.0206007 | − | 0.0394876i | ||||
\(442\) | 1509.21 | − | 1284.81i | 0.162411 | − | 0.138263i | ||||
\(443\) | 9800.27 | − | 1263.60i | 1.05107 | − | 0.135521i | 0.417087 | − | 0.908866i | \(-0.363051\pi\) |
0.633985 | + | 0.773346i | \(0.281418\pi\) | |||||||
\(444\) | −1766.85 | + | 3386.71i | −0.188853 | + | 0.361996i | ||||
\(445\) | −1395.75 | + | 271.823i | −0.148685 | + | 0.0289565i | ||||
\(446\) | −1296.42 | + | 8018.82i | −0.137640 | + | 0.851350i | ||||
\(447\) | 89.9700 | + | 932.633i | 0.00951999 | + | 0.0986847i | ||||
\(448\) | −10942.6 | − | 3633.19i | −1.15399 | − | 0.383152i | ||||
\(449\) | −3122.00 | − | 10519.1i | −0.328143 | − | 1.10562i | −0.947298 | − | 0.320354i | \(-0.896198\pi\) |
0.619155 | − | 0.785269i | \(-0.287475\pi\) | |||||||
\(450\) | −1883.87 | − | 242.898i | −0.197348 | − | 0.0254452i | ||||
\(451\) | −2602.28 | + | 1465.58i | −0.271700 | + | 0.153018i | ||||
\(452\) | 831.842 | − | 805.594i | 0.0865631 | − | 0.0838317i | ||||
\(453\) | −5921.33 | − | 3334.83i | −0.614146 | − | 0.345881i | ||||
\(454\) | 145.286 | − | 898.648i | 0.0150190 | − | 0.0928979i | ||||
\(455\) | 725.496 | + | 1040.05i | 0.0747512 | + | 0.107161i | ||||
\(456\) | 13731.9 | − | 4559.29i | 1.41020 | − | 0.468220i | ||||
\(457\) | −1278.91 | − | 2889.08i | −0.130908 | − | 0.295723i | 0.836925 | − | 0.547318i | \(-0.184351\pi\) |
−0.967833 | + | 0.251595i | \(0.919045\pi\) | |||||||
\(458\) | 6105.31 | + | 2471.77i | 0.622887 | + | 0.252179i | ||||
\(459\) | 1141.77 | + | 1883.47i | 0.116108 | + | 0.191532i | ||||
\(460\) | −271.023 | − | 388.532i | −0.0274707 | − | 0.0393813i | ||||
\(461\) | −6267.69 | − | 12014.0i | −0.633222 | − | 1.21377i | −0.962947 | − | 0.269691i | \(-0.913078\pi\) |
0.329725 | − | 0.944077i | \(-0.393044\pi\) | |||||||
\(462\) | 1679.41 | + | 2105.92i | 0.169120 | + | 0.212070i | ||||
\(463\) | −5938.56 | − | 2859.86i | −0.596087 | − | 0.287060i | 0.111412 | − | 0.993774i | \(-0.464463\pi\) |
−0.707499 | + | 0.706714i | \(0.750177\pi\) | |||||||
\(464\) | 76.9555 | − | 50.0925i | 0.00769950 | − | 0.00501182i | ||||
\(465\) | 118.746 | + | 322.672i | 0.0118424 | + | 0.0321797i | ||||
\(466\) | 1974.67 | + | 12214.1i | 0.196298 | + | 1.21417i | ||||
\(467\) | 3378.89 | − | 886.049i | 0.334810 | − | 0.0877975i | −0.0824220 | − | 0.996598i | \(-0.526266\pi\) |
0.417232 | + | 0.908800i | \(0.363000\pi\) | |||||||
\(468\) | −459.594 | + | 89.5060i | −0.0453948 | + | 0.00884063i | ||||
\(469\) | 5486.72 | + | 9050.92i | 0.540199 | + | 0.891114i | ||||
\(470\) | 1588.14 | + | 1033.76i | 0.155863 | + | 0.101455i | ||||
\(471\) | 1556.55 | − | 6819.69i | 0.152276 | − | 0.667165i | ||||
\(472\) | 8670.09 | + | 7380.96i | 0.845494 | + | 0.719780i | ||||
\(473\) | −1770.78 | − | 1152.65i | −0.172137 | − | 0.112049i | ||||
\(474\) | −4187.72 | + | 1390.42i | −0.405798 | + | 0.134734i | ||||
\(475\) | −9641.91 | + | 8208.28i | −0.931371 | + | 0.792887i | ||||
\(476\) | 438.325 | + | 482.645i | 0.0422072 | + | 0.0464748i | ||||
\(477\) | 3422.59 | − | 1648.23i | 0.328531 | − | 0.158212i | ||||
\(478\) | −8196.07 | + | 10277.6i | −0.784267 | + | 0.983440i | ||||
\(479\) | 6486.61 | + | 1263.27i | 0.618749 | + | 0.120501i | 0.490790 | − | 0.871278i | \(-0.336708\pi\) |
0.127959 | + | 0.991779i | \(0.459157\pi\) | |||||||
\(480\) | 224.631 | − | 610.394i | 0.0213603 | − | 0.0580428i | ||||
\(481\) | 3632.88 | + | 15916.7i | 0.344377 | + | 1.50881i | ||||
\(482\) | 6396.63 | − | 12261.1i | 0.604478 | − | 1.15867i | ||||
\(483\) | 20120.3 | + | 8145.83i | 1.89546 | + | 0.767387i | ||||
\(484\) | −1663.20 | − | 1415.90i | −0.156198 | − | 0.132974i | ||||
\(485\) | 8.17122 | + | 254.809i | 0.000765023 | + | 0.0238562i | ||||
\(486\) | 136.454 | + | 4255.13i | 0.0127359 | + | 0.397153i | ||||
\(487\) | 4224.97 | − | 18510.8i | 0.393125 | − | 1.72239i | −0.260413 | − | 0.965497i | \(-0.583859\pi\) |
0.653537 | − | 0.756894i | \(-0.273284\pi\) | |||||||
\(488\) | −6892.26 | − | 15569.7i | −0.639340 | − | 1.44428i | ||||
\(489\) | 10273.4 | − | 1324.61i | 0.950062 | − | 0.122497i | ||||
\(490\) | 193.848 | − | 144.673i | 0.0178718 | − | 0.0133381i | ||||
\(491\) | −3175.47 | + | 5238.27i | −0.291867 | + | 0.481466i | −0.966493 | − | 0.256695i | \(-0.917367\pi\) |
0.674625 | + | 0.738160i | \(0.264305\pi\) | |||||||
\(492\) | −3257.40 | + | 209.132i | −0.298485 | + | 0.0191634i | ||||
\(493\) | −35.8910 | + | 2.30428i | −0.00327881 | + | 0.000210506i | ||||
\(494\) | 5763.66 | − | 9507.76i | 0.524938 | − | 0.865940i | ||||
\(495\) | −66.4728 | + | 49.6100i | −0.00603582 | + | 0.00450465i | ||||
\(496\) | −1913.13 | + | 246.670i | −0.173189 | + | 0.0223303i | ||||
\(497\) | −863.244 | − | 1950.08i | −0.0779111 | − | 0.176002i | ||||
\(498\) | 2645.85 | − | 11592.2i | 0.238079 | − | 1.04309i | ||||
\(499\) | 414.962 | + | 12940.0i | 0.0372269 | + | 1.16087i | 0.832288 | + | 0.554344i | \(0.187031\pi\) |
−0.795061 | + | 0.606530i | \(0.792561\pi\) | |||||||
\(500\) | 20.2181 | + | 630.475i | 0.00180836 | + | 0.0563914i | ||||
\(501\) | 1624.54 | + | 1382.99i | 0.144869 | + | 0.123328i | ||||
\(502\) | −5660.37 | − | 2291.63i | −0.503257 | − | 0.203746i | ||||
\(503\) | −3893.88 | + | 7463.83i | −0.345168 | + | 0.661622i | −0.995154 | − | 0.0983237i | \(-0.968652\pi\) |
0.649987 | + | 0.759945i | \(0.274774\pi\) | |||||||
\(504\) | 678.996 | + | 2974.88i | 0.0600097 | + | 0.262920i | ||||
\(505\) | 980.868 | − | 2665.33i | 0.0864318 | − | 0.234863i | ||||
\(506\) | −4221.29 | − | 822.096i | −0.370868 | − | 0.0722265i | ||||
\(507\) | 1195.67 | − | 1499.33i | 0.104737 | − | 0.131336i | ||||
\(508\) | −2907.18 | + | 1400.02i | −0.253908 | + | 0.122276i | ||||
\(509\) | −8821.28 | − | 9713.21i | −0.768166 | − | 0.845836i | 0.223496 | − | 0.974705i | \(-0.428253\pi\) |
−0.991662 | + | 0.128869i | \(0.958865\pi\) | |||||||
\(510\) | 292.191 | − | 248.745i | 0.0253694 | − | 0.0215973i | ||||
\(511\) | 16800.2 | − | 5578.05i | 1.45440 | − | 0.482893i | ||||
\(512\) | 10722.8 | + | 6979.79i | 0.925560 | + | 0.602473i | ||||
\(513\) | 9407.83 | + | 8009.00i | 0.809680 | + | 0.689290i | ||||
\(514\) | 2634.78 | − | 11543.7i | 0.226099 | − | 0.990607i | ||||
\(515\) | 568.878 | + | 370.299i | 0.0486753 | + | 0.0316841i | ||||
\(516\) | −1197.08 | − | 1974.70i | −0.102129 | − | 0.168472i | ||||
\(517\) | −4740.61 | + | 923.234i | −0.403273 | + | 0.0785373i | ||||
\(518\) | 18503.3 | − | 4852.15i | 1.56948 | − | 0.411566i | ||||
\(519\) | −102.178 | − | 632.006i | −0.00864183 | − | 0.0534528i | ||||
\(520\) | −527.446 | − | 1433.24i | −0.0444808 | − | 0.120869i | ||||
\(521\) | −8632.77 | + | 5619.31i | −0.725928 | + | 0.472527i | −0.854683 | − | 0.519150i | \(-0.826249\pi\) |
0.128755 | + | 0.991676i | \(0.458902\pi\) | |||||||
\(522\) | −27.2662 | − | 13.1307i | −0.00228623 | − | 0.00110099i | ||||
\(523\) | −654.330 | − | 820.504i | −0.0547072 | − | 0.0686007i | 0.753725 | − | 0.657190i | \(-0.228255\pi\) |
−0.808432 | + | 0.588589i | \(0.799684\pi\) | |||||||
\(524\) | −1999.17 | − | 3832.03i | −0.166668 | − | 0.319471i | ||||
\(525\) | −8198.12 | − | 11752.6i | −0.681514 | − | 0.977002i | ||||
\(526\) | −4761.86 | − | 7855.19i | −0.394728 | − | 0.651146i | ||||
\(527\) | 700.316 | + | 283.527i | 0.0578866 | + | 0.0234357i | ||||
\(528\) | −1010.74 | − | 2283.28i | −0.0833082 | − | 0.188195i | ||||
\(529\) | −21344.6 | + | 7086.89i | −1.75430 | + | 0.582468i | ||||
\(530\) | 1274.51 | + | 1827.10i | 0.104455 | + | 0.149744i | ||||
\(531\) | 461.022 | − | 2851.59i | 0.0376773 | − | 0.233048i | ||||
\(532\) | 3186.69 | + | 1794.71i | 0.259700 | + | 0.146260i | ||||
\(533\) | −10021.4 | + | 9705.20i | −0.814401 | + | 0.788703i | ||||
\(534\) | −12293.2 | + | 6923.38i | −0.996212 | + | 0.561056i | ||||
\(535\) | 2661.85 | + | 343.208i | 0.215106 | + | 0.0277349i | ||||
\(536\) | −3626.83 | − | 12220.0i | −0.292267 | − | 0.984745i | ||||
\(537\) | −9805.94 | − | 3255.80i | −0.788003 | − | 0.261635i | ||||
\(538\) | −129.036 | − | 1337.59i | −0.0103404 | − | 0.107189i | ||||
\(539\) | −98.3913 | + | 608.585i | −0.00786273 | + | 0.0486338i | ||||
\(540\) | 299.502 | − | 58.3279i | 0.0238676 | − | 0.00464821i | ||||
\(541\) | −6438.75 | + | 12341.9i | −0.511688 | + | 0.980810i | 0.482777 | + | 0.875743i | \(0.339628\pi\) |
−0.994465 | + | 0.105067i | \(0.966494\pi\) | |||||||
\(542\) | −11835.8 | + | 1526.06i | −0.937993 | + | 0.120941i | ||||
\(543\) | −524.166 | + | 446.229i | −0.0414256 | + | 0.0352662i | ||||
\(544\) | −661.074 | − | 1267.16i | −0.0521017 | − | 0.0998692i | ||||
\(545\) | −150.925 | − | 1564.50i | −0.0118623 | − | 0.122965i | ||||
\(546\) | 10083.3 | + | 7525.35i | 0.790338 | + | 0.589845i | ||||
\(547\) | 5362.44 | − | 12113.8i | 0.419161 | − | 0.946893i | −0.572723 | − | 0.819749i | \(-0.694113\pi\) |
0.991884 | − | 0.127144i | \(-0.0405809\pi\) | |||||||
\(548\) | 478.541 | − | 1612.36i | 0.0373034 | − | 0.125687i | ||||
\(549\) | −2471.32 | + | 3542.82i | −0.192119 | + | 0.275417i | ||||
\(550\) | 2039.38 | + | 1975.03i | 0.158108 | + | 0.153119i | ||||
\(551\) | −187.003 | + | 75.7092i | −0.0144585 | + | 0.00585358i | ||||
\(552\) | −20950.8 | − | 15636.0i | −1.61544 | − | 1.20564i | ||||
\(553\) | −5405.23 | − | 3044.17i | −0.415649 | − | 0.234089i | ||||
\(554\) | −18509.8 | + | 4853.85i | −1.41951 | + | 0.372239i | ||||
\(555\) | 703.344 | + | 3081.55i | 0.0537933 | + | 0.235684i | ||||
\(556\) | 2634.02 | − | 1965.82i | 0.200912 | − | 0.149945i | ||||
\(557\) | −5441.13 | − | 5991.29i | −0.413911 | − | 0.455762i | 0.497375 | − | 0.867535i | \(-0.334297\pi\) |
−0.911286 | + | 0.411774i | \(0.864909\pi\) | |||||||
\(558\) | 396.387 | + | 497.053i | 0.0300724 | + | 0.0377096i | ||||
\(559\) | −9366.65 | − | 3109.94i | −0.708707 | − | 0.235307i | ||||
\(560\) | −1276.70 | + | 516.880i | −0.0963403 | + | 0.0390039i | ||||
\(561\) | −93.9120 | + | 973.496i | −0.00706768 | + | 0.0732639i | ||||
\(562\) | 12374.7 | − | 13625.9i | 0.928819 | − | 1.02273i | ||||
\(563\) | −10130.5 | − | 650.402i | −0.758350 | − | 0.0486877i | −0.319910 | − | 0.947448i | \(-0.603653\pi\) |
−0.438440 | + | 0.898760i | \(0.644469\pi\) | |||||||
\(564\) | −5105.81 | − | 1338.90i | −0.381194 | − | 0.0999607i | ||||
\(565\) | 92.0081 | − | 953.760i | 0.00685099 | − | 0.0710177i | ||||
\(566\) | 3616.92 | − | 8170.68i | 0.268605 | − | 0.606783i | ||||
\(567\) | −12471.5 | + | 12077.9i | −0.923725 | + | 0.894578i | ||||
\(568\) | 409.914 | + | 2535.46i | 0.0302810 | + | 0.187299i | ||||
\(569\) | −5404.84 | + | 14686.7i | −0.398212 | + | 1.08207i | 0.567708 | + | 0.823230i | \(0.307830\pi\) |
−0.965920 | + | 0.258841i | \(0.916660\pi\) | |||||||
\(570\) | 1115.87 | − | 1840.75i | 0.0819979 | − | 0.135264i | ||||
\(571\) | −8304.30 | + | 3999.14i | −0.608624 | + | 0.293098i | −0.712697 | − | 0.701472i | \(-0.752527\pi\) |
0.104073 | + | 0.994570i | \(0.466812\pi\) | |||||||
\(572\) | 630.523 | + | 303.644i | 0.0460900 | + | 0.0221958i | ||||
\(573\) | 799.629 | + | 2694.22i | 0.0582984 | + | 0.196427i | ||||
\(574\) | 11741.9 | + | 11371.4i | 0.853831 | + | 0.826890i | ||||
\(575\) | 22130.4 | + | 5803.27i | 1.60504 | + | 0.420892i | ||||
\(576\) | 112.910 | − | 3520.94i | 0.00816767 | − | 0.254698i | ||||
\(577\) | −401.450 | −0.0289646 | −0.0144823 | − | 0.999895i | \(-0.504610\pi\) | ||||
−0.0144823 | + | 0.999895i | \(0.504610\pi\) | |||||||
\(578\) | −366.533 | + | 11429.8i | −0.0263767 | + | 0.822523i | ||||
\(579\) | −5303.04 | + | 5839.24i | −0.380634 | + | 0.419120i | ||||
\(580\) | −1.41764 | + | 4.77649i | −0.000101490 | + | 0.000341954i | ||||
\(581\) | 14565.4 | − | 8203.11i | 1.04006 | − | 0.585753i | ||||
\(582\) | 873.596 | + | 2373.84i | 0.0622194 | + | 0.169070i | ||||
\(583\) | −5573.06 | − | 1085.35i | −0.395905 | − | 0.0771025i | ||||
\(584\) | −21275.4 | + | 1365.93i | −1.50751 | + | 0.0967851i | ||||
\(585\) | −241.565 | + | 302.913i | −0.0170726 | + | 0.0214084i | ||||
\(586\) | −4532.82 | + | 2950.54i | −0.319537 | + | 0.207996i | ||||
\(587\) | 16726.4 | + | 2156.63i | 1.17610 | + | 0.151642i | 0.691026 | − | 0.722830i | \(-0.257159\pi\) |
0.485077 | + | 0.874472i | \(0.338792\pi\) | |||||||
\(588\) | −385.475 | + | 552.607i | −0.0270352 | + | 0.0387570i | ||||
\(589\) | 4229.50 | + | 271.543i | 0.295881 | + | 0.0189962i | ||||
\(590\) | 1693.96 | 0.118202 | ||||||||
\(591\) | −12481.1 | − | 9895.90i | −0.868701 | − | 0.688769i | ||||
\(592\) | −17732.9 | −1.23111 | ||||||||
\(593\) | 17932.5 | + | 1151.30i | 1.24182 | + | 0.0797274i | 0.671068 | − | 0.741396i | \(-0.265836\pi\) |
0.570750 | + | 0.821124i | \(0.306652\pi\) | |||||||
\(594\) | 1584.80 | − | 2271.93i | 0.109470 | − | 0.156933i | ||||
\(595\) | 535.055 | + | 68.9877i | 0.0368658 | + | 0.00475331i | ||||
\(596\) | 239.048 | − | 155.603i | 0.0164292 | − | 0.0106942i | ||||
\(597\) | 9021.00 | − | 11312.0i | 0.618434 | − | 0.775492i | ||||
\(598\) | −20047.1 | + | 1287.07i | −1.37088 | + | 0.0880136i | ||||
\(599\) | −4711.95 | − | 917.651i | −0.321410 | − | 0.0625947i | 0.0278739 | − | 0.999611i | \(-0.491126\pi\) |
−0.349284 | + | 0.937017i | \(0.613575\pi\) | |||||||
\(600\) | 5960.14 | + | 16195.6i | 0.405536 | + | 1.10197i | ||||
\(601\) | −599.101 | + | 337.407i | −0.0406620 | + | 0.0229004i | −0.510915 | − | 0.859631i | \(-0.670693\pi\) |
0.470253 | + | 0.882532i | \(0.344163\pi\) | |||||||
\(602\) | −3290.24 | + | 11085.9i | −0.222758 | + | 0.750545i | ||||
\(603\) | −2174.06 | + | 2393.88i | −0.146823 | + | 0.161669i | ||||
\(604\) | −66.3078 | + | 2067.72i | −0.00446693 | + | 0.139295i | ||||
\(605\) | −1807.39 | −0.121456 | ||||||||
\(606\) | 903.183 | − | 28164.6i | 0.0605434 | − | 1.88797i | ||||
\(607\) | 4497.02 | + | 1179.26i | 0.300706 | + | 0.0788543i | 0.400924 | − | 0.916111i | \(-0.368689\pi\) |
−0.100219 | + | 0.994965i | \(0.531954\pi\) | |||||||
\(608\) | −5759.27 | − | 5577.54i | −0.384160 | − | 0.372038i | ||||
\(609\) | −64.9589 | − | 218.868i | −0.00432228 | − | 0.0145632i | ||||
\(610\) | −2282.27 | − | 1099.08i | −0.151486 | − | 0.0729519i | ||||
\(611\) | −20325.7 | + | 9788.32i | −1.34581 | + | 0.648106i | ||||
\(612\) | −103.263 | + | 170.343i | −0.00682053 | + | 0.0112512i | ||||
\(613\) | −7230.73 | + | 19648.2i | −0.476422 | + | 1.29459i | 0.441297 | + | 0.897361i | \(0.354518\pi\) |
−0.917719 | + | 0.397230i | \(0.869971\pi\) | |||||||
\(614\) | 2556.08 | + | 15810.3i | 0.168005 | + | 1.03917i | ||||
\(615\) | −1940.20 | + | 1878.98i | −0.127213 | + | 0.123199i | ||||
\(616\) | 1846.09 | − | 4170.34i | 0.120748 | − | 0.272772i | ||||
\(617\) | 869.212 | − | 9010.30i | 0.0567150 | − | 0.587911i | −0.922626 | − | 0.385696i | \(-0.873962\pi\) |
0.979341 | − | 0.202215i | \(-0.0648140\pi\) | |||||||
\(618\) | 6514.53 | + | 1708.31i | 0.424034 | + | 0.111195i | ||||
\(619\) | 23868.3 | + | 1532.39i | 1.54983 | + | 0.0995025i | 0.815287 | − | 0.579057i | \(-0.196579\pi\) |
0.734545 | + | 0.678560i | \(0.237396\pi\) | |||||||
\(620\) | 70.3686 | − | 77.4836i | 0.00455818 | − | 0.00501906i | ||||
\(621\) | 2143.54 | − | 22220.0i | 0.138514 | − | 1.43584i | ||||
\(622\) | 2257.18 | − | 913.831i | 0.145506 | − | 0.0589088i | ||||
\(623\) | −18824.8 | − | 6250.26i | −1.21059 | − | 0.401945i | ||||
\(624\) | −7272.14 | − | 9118.98i | −0.466536 | − | 0.585018i | ||||
\(625\) | −9976.84 | − | 10985.6i | −0.638518 | − | 0.703079i | ||||
\(626\) | −9519.60 | + | 7104.66i | −0.607795 | + | 0.453609i | ||||
\(627\) | 1220.80 | + | 5348.69i | 0.0777579 | + | 0.340680i | ||||
\(628\) | −2059.80 | + | 540.142i | −0.130883 | + | 0.0343217i | ||||
\(629\) | 6051.81 | + | 3408.32i | 0.383627 | + | 0.216055i | ||||
\(630\) | 363.808 | + | 271.517i | 0.0230071 | + | 0.0171706i | ||||
\(631\) | −12902.5 | + | 5223.64i | −0.814010 | + | 0.329556i | −0.744160 | − | 0.668001i | \(-0.767150\pi\) |
−0.0698501 | + | 0.997558i | \(0.522252\pi\) | |||||||
\(632\) | 5366.88 | + | 5197.53i | 0.337790 | + | 0.327131i | ||||
\(633\) | 1545.45 | − | 2215.52i | 0.0970396 | − | 0.139114i | ||||
\(634\) | −340.817 | + | 1148.33i | −0.0213495 | + | 0.0719335i | ||||
\(635\) | −1080.76 | + | 2441.46i | −0.0675414 | + | 0.152577i | ||||
\(636\) | −4973.03 | − | 3711.47i | −0.310053 | − | 0.231398i | ||||
\(637\) | 276.513 | + | 2866.35i | 0.0171992 | + | 0.178287i | ||||
\(638\) | 20.9216 | + | 40.1029i | 0.00129827 | + | 0.00248854i | ||||
\(639\) | 496.140 | − | 422.370i | 0.0307151 | − | 0.0261482i | ||||
\(640\) | 1153.03 | − | 148.666i | 0.0712147 | − | 0.00918212i | ||||
\(641\) | 7951.82 | − | 15242.2i | 0.489981 | − | 0.939203i | −0.507029 | − | 0.861929i | \(-0.669256\pi\) |
0.997010 | − | 0.0772733i | \(-0.0246214\pi\) | |||||||
\(642\) | 26138.2 | − | 5090.41i | 1.60684 | − | 0.312932i | ||||
\(643\) | 4125.63 | − | 25518.5i | 0.253031 | − | 1.56509i | −0.475277 | − | 0.879836i | \(-0.657652\pi\) |
0.728308 | − | 0.685250i | \(-0.240307\pi\) | |||||||
\(644\) | −634.517 | − | 6577.43i | −0.0388253 | − | 0.402465i | ||||
\(645\) | −1813.43 | − | 602.100i | −0.110703 | − | 0.0367561i | ||||
\(646\) | −1345.84 | − | 4534.57i | −0.0819678 | − | 0.276177i | ||||
\(647\) | −17787.3 | − | 2293.42i | −1.08082 | − | 0.139357i | −0.433185 | − | 0.901305i | \(-0.642610\pi\) |
−0.647637 | + | 0.761949i | \(0.724243\pi\) | |||||||
\(648\) | 18218.3 | − | 10260.3i | 1.10445 | − | 0.622013i | ||||
\(649\) | −3101.40 | + | 3003.54i | −0.187582 | + | 0.181663i | ||||
\(650\) | 11554.7 | + | 6507.46i | 0.697248 | + | 0.392683i | ||||
\(651\) | −765.457 | + | 4734.62i | −0.0460839 | + | 0.285045i | ||||
\(652\) | −1804.07 | − | 2586.27i | −0.108363 | − | 0.155347i | ||||
\(653\) | 23350.3 | − | 7752.82i | 1.39934 | − | 0.464612i | 0.486766 | − | 0.873532i | \(-0.338176\pi\) |
0.912570 | + | 0.408920i | \(0.134095\pi\) | |||||||
\(654\) | −6312.54 | − | 14260.1i | −0.377431 | − | 0.852623i | ||||
\(655\) | −3315.03 | − | 1342.11i | −0.197754 | − | 0.0800619i | ||||
\(656\) | −7855.08 | − | 12957.8i | −0.467515 | − | 0.771214i | ||||
\(657\) | 3094.29 | + | 4435.90i | 0.183744 | + | 0.263411i | ||||
\(658\) | 12226.3 | + | 23435.4i | 0.724360 | + | 1.38846i | ||||
\(659\) | −5096.77 | − | 6391.15i | −0.301278 | − | 0.377790i | 0.608030 | − | 0.793914i | \(-0.291960\pi\) |
−0.909308 | + | 0.416123i | \(0.863388\pi\) | |||||||
\(660\) | 122.072 | + | 58.7869i | 0.00719948 | + | 0.00346709i | ||||
\(661\) | 16396.0 | − | 10672.6i | 0.964796 | − | 0.628013i | 0.0362948 | − | 0.999341i | \(-0.488444\pi\) |
0.928502 | + | 0.371328i | \(0.121098\pi\) | |||||||
\(662\) | 4839.74 | + | 13151.1i | 0.284142 | + | 0.772105i | ||||
\(663\) | 729.114 | + | 4509.82i | 0.0427095 | + | 0.264174i | ||||
\(664\) | −19474.0 | + | 5106.68i | −1.13816 | + | 0.298460i | ||||
\(665\) | 2970.47 | − | 578.498i | 0.173218 | − | 0.0337341i | ||||
\(666\) | 3029.73 | + | 4997.85i | 0.176276 | + | 0.290785i | ||||
\(667\) | 305.495 | + | 198.855i | 0.0177343 | + | 0.0115438i | ||||
\(668\) | 144.523 | − | 633.195i | 0.00837088 | − | 0.0366752i | ||||
\(669\) | −14256.2 | − | 12136.5i | −0.823882 | − | 0.701381i | ||||
\(670\) | −1589.32 | − | 1034.53i | −0.0916429 | − | 0.0596529i | ||||
\(671\) | 6127.29 | − | 2034.40i | 0.352521 | − | 0.117045i | ||||
\(672\) | 6908.38 | − | 5881.19i | 0.396572 | − | 0.337607i | ||||
\(673\) | 2372.24 | + | 2612.10i | 0.135874 | + | 0.149612i | 0.804426 | − | 0.594053i | \(-0.202473\pi\) |
−0.668552 | + | 0.743666i | \(0.733085\pi\) | |||||||
\(674\) | −14700.6 | + | 7079.44i | −0.840128 | + | 0.404584i | ||||
\(675\) | −9187.98 | + | 11521.4i | −0.523919 | + | 0.656974i | ||||
\(676\) | −573.025 | − | 111.597i | −0.0326027 | − | 0.00634937i | ||||
\(677\) | 4131.38 | − | 11226.3i | 0.234537 | − | 0.637313i | −0.765444 | − | 0.643503i | \(-0.777480\pi\) |
0.999981 | + | 0.00618965i | \(0.00197024\pi\) | |||||||
\(678\) | −2115.52 | − | 9268.68i | −0.119832 | − | 0.525017i | ||||
\(679\) | −1644.87 | + | 3152.91i | −0.0929666 | + | 0.178200i | ||||
\(680\) | −602.238 | − | 243.819i | −0.0339629 | − | 0.0137501i | ||||
\(681\) | 1597.66 | + | 1360.11i | 0.0899007 | + | 0.0765335i | ||||
\(682\) | −30.4559 | − | 949.728i | −0.00171000 | − | 0.0533240i | ||||
\(683\) | 322.340 | + | 10051.8i | 0.0180586 | + | 0.563133i | 0.968036 | + | 0.250813i | \(0.0806979\pi\) |
−0.949977 | + | 0.312320i | \(0.898894\pi\) | |||||||
\(684\) | −248.649 | + | 1089.40i | −0.0138996 | + | 0.0608982i | ||||
\(685\) | −563.330 | − | 1272.57i | −0.0314215 | − | 0.0709817i | ||||
\(686\) | −13862.8 | + | 1787.41i | −0.771550 | + | 0.0994804i | ||||
\(687\) | −12166.8 | + | 9080.31i | −0.675679 | + | 0.504273i | ||||
\(688\) | 5557.12 | − | 9167.06i | 0.307941 | − | 0.507981i | ||||
\(689\) | −26466.7 | + | 1699.22i | −1.46343 | + | 0.0939553i | ||||
\(690\) | −3881.22 | + | 249.183i | −0.214139 | + | 0.0137482i | ||||
\(691\) | 3122.44 | − | 5150.80i | 0.171901 | − | 0.283568i | −0.757356 | − | 0.653002i | \(-0.773509\pi\) |
0.929257 | + | 0.369433i | \(0.120448\pi\) | |||||||
\(692\) | −156.190 | + | 116.568i | −0.00858016 | + | 0.00640354i | ||||
\(693\) | −1147.50 | + | 147.954i | −0.0629005 | + | 0.00811012i | ||||
\(694\) | −8091.82 | − | 18279.6i | −0.442596 | − | 0.999831i | ||||
\(695\) | 605.172 | − | 2651.43i | 0.0330295 | − | 0.144712i | ||||
\(696\) | 8.81277 | + | 274.815i | 0.000479953 | + | 0.0149667i | ||||
\(697\) | 190.227 | + | 5931.96i | 0.0103377 | + | 0.322366i | ||||
\(698\) | 21230.3 | + | 18073.6i | 1.15126 | + | 0.980079i | ||||
\(699\) | −26433.5 | − | 10701.8i | −1.43034 | − | 0.579081i | ||||
\(700\) | −2017.67 | + | 3867.50i | −0.108944 | + | 0.208825i | ||||
\(701\) | 6917.51 | + | 30307.6i | 0.372712 | + | 1.63296i | 0.719130 | + | 0.694876i | \(0.244541\pi\) |
−0.346418 | + | 0.938080i | \(0.612602\pi\) | |||||||
\(702\) | 4468.74 | − | 12143.0i | 0.240259 | − | 0.652861i | ||||
\(703\) | 38243.2 | + | 7447.86i | 2.05174 | + | 0.399575i | ||||
\(704\) | −3282.80 | + | 4116.50i | −0.175746 | + | 0.220378i | ||||
\(705\) | −3935.15 | + | 1895.07i | −0.210222 | + | 0.101237i | ||||
\(706\) | 6981.99 | + | 7687.95i | 0.372196 | + | 0.409830i | ||||
\(707\) | 30166.0 | − | 25680.7i | 1.60468 | − | 1.36608i | ||||
\(708\) | −4478.18 | + | 1486.86i | −0.237712 | + | 0.0789258i | ||||
\(709\) | 29536.7 | + | 19226.2i | 1.56456 | + | 1.01842i | 0.978024 | + | 0.208493i | \(0.0668558\pi\) |
0.586536 | + | 0.809923i | \(0.300491\pi\) | |||||||
\(710\) | 290.949 | + | 247.689i | 0.0153791 | + | 0.0130924i | ||||
\(711\) | 421.757 | − | 1847.84i | 0.0222463 | − | 0.0974673i | ||||
\(712\) | 20020.6 | + | 13032.0i | 1.05380 | + | 0.685946i | ||||
\(713\) | −3969.61 | − | 6548.28i | −0.208503 | − | 0.343948i | ||||
\(714\) | 5254.00 | − | 1023.22i | 0.275386 | − | 0.0536315i | ||||
\(715\) | 560.139 | − | 146.886i | 0.0292979 | − | 0.00768282i | ||||
\(716\) | 502.000 | + | 3105.05i | 0.0262020 | + | 0.162068i | ||||
\(717\) | −10464.2 | − | 28434.7i | −0.545040 | − | 1.48105i | ||||
\(718\) | 11865.2 | − | 7723.39i | 0.616720 | − | 0.401440i | ||||
\(719\) | 31301.9 | + | 15074.2i | 1.62360 | + | 0.781882i | 1.00000 | 0.000134921i | \(4.29468e-5\pi\) | |
0.623595 | + | 0.781747i | \(0.285671\pi\) | |||||||
\(720\) | −262.381 | − | 329.015i | −0.0135811 | − | 0.0170301i | ||||
\(721\) | 4379.49 | + | 8394.66i | 0.226215 | + | 0.433611i | ||||
\(722\) | −5372.83 | − | 7702.35i | −0.276947 | − | 0.397025i | ||||
\(723\) | 16524.0 | + | 27258.0i | 0.849976 | + | 1.40212i | ||||
\(724\) | 194.242 | + | 78.6400i | 0.00997094 | + | 0.00403679i | ||||
\(725\) | −97.4029 | − | 220.035i | −0.00498959 | − | 0.0112716i | ||||
\(726\) | −17019.1 | + | 5650.74i | −0.870027 | + | 0.288869i | ||||
\(727\) | −21943.9 | − | 31458.2i | −1.11947 | − | 1.60484i | −0.729449 | − | 0.684035i | \(-0.760223\pi\) |
−0.390019 | − | 0.920807i | \(-0.627532\pi\) | |||||||
\(728\) | 3400.00 | − | 21030.2i | 0.173094 | − | 1.07065i | ||||
\(729\) | 11628.6 | + | 6549.12i | 0.590795 | + | 0.332730i | ||||
\(730\) | −2278.38 | + | 2206.49i | −0.115516 | + | 0.111871i | ||||
\(731\) | −3658.46 | + | 2060.40i | −0.185107 | + | 0.104250i | ||||
\(732\) | 6998.16 | + | 902.313i | 0.353360 | + | 0.0455607i | ||||
\(733\) | 1995.39 | + | 6723.12i | 0.100547 | + | 0.338778i | 0.993858 | − | 0.110662i | \(-0.0352971\pi\) |
−0.893311 | + | 0.449440i | \(0.851624\pi\) | |||||||
\(734\) | 7634.21 | + | 2534.73i | 0.383902 | + | 0.127464i | ||||
\(735\) | 53.5344 | + | 554.940i | 0.00268659 | + | 0.0278493i | ||||
\(736\) | −2311.91 | + | 14300.0i | −0.115785 | + | 0.716173i | ||||
\(737\) | 4744.13 | − | 923.919i | 0.237113 | − | 0.0461778i | ||||
\(738\) | −2309.97 | + | 4427.77i | −0.115218 | + | 0.220852i | ||||
\(739\) | 27752.4 | − | 3578.28i | 1.38145 | − | 0.178118i | 0.598957 | − | 0.800781i | \(-0.295582\pi\) |
0.782490 | + | 0.622664i | \(0.213949\pi\) | |||||||
\(740\) | 732.672 | − | 623.732i | 0.0363967 | − | 0.0309849i | ||||
\(741\) | 11853.3 | + | 22720.6i | 0.587641 | + | 1.12640i | ||||
\(742\) | 2983.87 | + | 30930.9i | 0.147630 | + | 1.53034i | ||||
\(743\) | 24016.8 | + | 17924.2i | 1.18585 | + | 0.885026i | 0.995318 | − | 0.0966546i | \(-0.0308142\pi\) |
0.190536 | + | 0.981680i | \(0.438977\pi\) | |||||||
\(744\) | 2338.08 | − | 5281.77i | 0.115213 | − | 0.260267i | ||||
\(745\) | 67.1531 | − | 226.261i | 0.00330241 | − | 0.0111269i | ||||
\(746\) | −13252.8 | + | 18998.9i | −0.650429 | + | 0.932439i | ||||
\(747\) | 3668.90 | + | 3553.13i | 0.179703 | + | 0.174033i | ||||
\(748\) | 275.969 | − | 111.727i | 0.0134899 | − | 0.00546144i | ||||
\(749\) | 30003.2 | + | 22391.9i | 1.46367 | + | 1.09237i | ||||
\(750\) | 4512.41 | + | 2541.34i | 0.219693 | + | 0.123729i | ||||
\(751\) | 6464.26 | − | 1695.13i | 0.314093 | − | 0.0823650i | −0.0932424 | − | 0.995643i | \(-0.529723\pi\) |
0.407336 | + | 0.913278i | \(0.366458\pi\) | |||||||
\(752\) | −5452.61 | − | 23889.4i | −0.264410 | − | 1.15845i | ||||
\(753\) | 11280.1 | − | 8418.56i | 0.545910 | − | 0.407423i | ||||
\(754\) | 142.046 | + | 156.408i | 0.00686075 | + | 0.00755445i | ||||
\(755\) | 1067.31 | + | 1338.36i | 0.0514482 | + | 0.0645140i | ||||
\(756\) | 4039.44 | + | 1341.19i | 0.194329 | + | 0.0645217i | ||||
\(757\) | 8215.71 | − | 3326.17i | 0.394458 | − | 0.159698i | −0.169444 | − | 0.985540i | \(-0.554197\pi\) |
0.563903 | + | 0.825841i | \(0.309299\pi\) | |||||||
\(758\) | −145.487 | + | 1508.13i | −0.00697141 | + | 0.0722660i | ||||
\(759\) | 6664.15 | − | 7337.97i | 0.318700 | − | 0.350924i | ||||
\(760\) | −3637.17 | − | 233.514i | −0.173597 | − | 0.0111453i | ||||
\(761\) | −16084.8 | − | 4217.94i | −0.766195 | − | 0.200920i | −0.150185 | − | 0.988658i | \(-0.547987\pi\) |
−0.616010 | + | 0.787738i | \(0.711252\pi\) | |||||||
\(762\) | −2543.77 | + | 26368.8i | −0.120933 | + | 1.25360i | ||||
\(763\) | 8874.75 | − | 20048.2i | 0.421085 | − | 0.951237i | ||||
\(764\) | 614.573 | − | 595.180i | 0.0291027 | − | 0.0281844i | ||||
\(765\) | 26.3066 | + | 162.716i | 0.00124329 |