Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,3,Mod(10,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 7]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.10");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.g (of order \(58\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.82290067918\) |
Analytic rank: | \(0\) |
Dimension: | \(560\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 10.14 | ||
Character | \(\chi\) | \(=\) | 177.10 |
Dual form | 177.3.g.a.124.14 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{7}{58}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.61637 | + | 0.644021i | 0.808186 | + | 0.322011i | 0.737379 | − | 0.675479i | \(-0.236063\pi\) |
0.0708068 | + | 0.997490i | \(0.477443\pi\) | |||||||
\(3\) | −1.72190 | − | 0.187268i | −0.573966 | − | 0.0624225i | ||||
\(4\) | −0.706089 | − | 0.668843i | −0.176522 | − | 0.167211i | ||||
\(5\) | −2.42613 | + | 2.85626i | −0.485227 | + | 0.571253i | −0.949231 | − | 0.314580i | \(-0.898136\pi\) |
0.464004 | + | 0.885833i | \(0.346412\pi\) | |||||||
\(6\) | −2.66262 | − | 1.41163i | −0.443770 | − | 0.235272i | ||||
\(7\) | −4.88728 | − | 2.94058i | −0.698183 | − | 0.420083i | 0.121736 | − | 0.992563i | \(-0.461154\pi\) |
−0.819919 | + | 0.572480i | \(0.805981\pi\) | |||||||
\(8\) | −3.63289 | − | 7.85237i | −0.454112 | − | 0.981546i | ||||
\(9\) | 2.92986 | + | 0.644911i | 0.325540 | + | 0.0716568i | ||||
\(10\) | −5.76103 | + | 3.05430i | −0.576103 | + | 0.305430i | ||||
\(11\) | −12.2764 | − | 0.665607i | −1.11604 | − | 0.0605097i | −0.513122 | − | 0.858316i | \(-0.671511\pi\) |
−0.602914 | + | 0.797806i | \(0.705994\pi\) | |||||||
\(12\) | 1.09056 | + | 1.28391i | 0.0908801 | + | 0.106992i | ||||
\(13\) | −0.957795 | − | 4.35131i | −0.0736766 | − | 0.334716i | 0.925336 | − | 0.379149i | \(-0.123783\pi\) |
−0.999012 | + | 0.0444325i | \(0.985852\pi\) | |||||||
\(14\) | −6.00586 | − | 7.90058i | −0.428990 | − | 0.564327i | ||||
\(15\) | 4.71244 | − | 4.46386i | 0.314163 | − | 0.297591i | ||||
\(16\) | −0.604394 | − | 11.1474i | −0.0377746 | − | 0.696712i | ||||
\(17\) | −16.4052 | + | 9.87071i | −0.965014 | + | 0.580630i | −0.908551 | − | 0.417775i | \(-0.862810\pi\) |
−0.0564638 | + | 0.998405i | \(0.517983\pi\) | |||||||
\(18\) | 4.32041 | + | 2.92931i | 0.240023 | + | 0.162739i | ||||
\(19\) | 4.85655 | − | 17.4917i | 0.255608 | − | 0.920617i | −0.718686 | − | 0.695335i | \(-0.755256\pi\) |
0.974294 | − | 0.225282i | \(-0.0723303\pi\) | |||||||
\(20\) | 3.62346 | − | 0.394075i | 0.181173 | − | 0.0197038i | ||||
\(21\) | 7.86472 | + | 5.97860i | 0.374510 | + | 0.284695i | ||||
\(22\) | −19.4145 | − | 8.98213i | −0.882480 | − | 0.408279i | ||||
\(23\) | 0.619562 | − | 0.420073i | 0.0269375 | − | 0.0182641i | −0.547644 | − | 0.836711i | \(-0.684475\pi\) |
0.574581 | + | 0.818447i | \(0.305165\pi\) | |||||||
\(24\) | 4.78498 | + | 14.2013i | 0.199374 | + | 0.591721i | ||||
\(25\) | 1.77242 | + | 10.8113i | 0.0708970 | + | 0.432452i | ||||
\(26\) | 1.25418 | − | 7.65017i | 0.0482378 | − | 0.294237i | ||||
\(27\) | −4.92415 | − | 1.65914i | −0.182376 | − | 0.0614496i | ||||
\(28\) | 1.48407 | + | 5.34514i | 0.0530025 | + | 0.190898i | ||||
\(29\) | 6.74579 | + | 16.9307i | 0.232614 | + | 0.583816i | 0.998229 | − | 0.0594821i | \(-0.0189449\pi\) |
−0.765616 | + | 0.643298i | \(0.777566\pi\) | |||||||
\(30\) | 10.4919 | − | 4.18034i | 0.349729 | − | 0.139345i | ||||
\(31\) | −2.24533 | + | 0.623412i | −0.0724299 | + | 0.0201101i | −0.303554 | − | 0.952814i | \(-0.598173\pi\) |
0.231124 | + | 0.972924i | \(0.425760\pi\) | |||||||
\(32\) | −4.84820 | + | 14.3889i | −0.151506 | + | 0.449654i | ||||
\(33\) | 21.0141 | + | 3.44508i | 0.636789 | + | 0.104396i | ||||
\(34\) | −32.8739 | + | 5.38940i | −0.966880 | + | 0.158512i | ||||
\(35\) | 20.2563 | − | 6.82513i | 0.578750 | − | 0.195004i | ||||
\(36\) | −1.63740 | − | 2.41498i | −0.0454833 | − | 0.0670829i | ||||
\(37\) | 4.64360 | − | 10.0370i | 0.125503 | − | 0.271270i | −0.834632 | − | 0.550808i | \(-0.814319\pi\) |
0.960134 | + | 0.279539i | \(0.0901816\pi\) | |||||||
\(38\) | 19.1150 | − | 25.1454i | 0.503027 | − | 0.661721i | ||||
\(39\) | 0.834366 | + | 7.67187i | 0.0213940 | + | 0.196715i | ||||
\(40\) | 31.2423 | + | 8.67439i | 0.781058 | + | 0.216860i | ||||
\(41\) | 21.5063 | − | 31.7195i | 0.524545 | − | 0.773645i | −0.469463 | − | 0.882952i | \(-0.655553\pi\) |
0.994008 | + | 0.109306i | \(0.0348630\pi\) | |||||||
\(42\) | 8.86196 | + | 14.7287i | 0.210999 | + | 0.350683i | ||||
\(43\) | −6.98439 | + | 0.378682i | −0.162428 | + | 0.00880657i | −0.135173 | − | 0.990822i | \(-0.543159\pi\) |
−0.0272542 | + | 0.999629i | \(0.508676\pi\) | |||||||
\(44\) | 8.22305 | + | 8.68096i | 0.186887 | + | 0.197295i | ||||
\(45\) | −8.95027 | + | 6.80382i | −0.198895 | + | 0.151196i | ||||
\(46\) | 1.27198 | − | 0.279984i | 0.0276517 | − | 0.00608660i | ||||
\(47\) | 30.1786 | − | 25.6339i | 0.642098 | − | 0.545403i | −0.266099 | − | 0.963946i | \(-0.585735\pi\) |
0.908197 | + | 0.418543i | \(0.137459\pi\) | |||||||
\(48\) | −1.04684 | + | 19.3078i | −0.0218092 | + | 0.402247i | ||||
\(49\) | −7.71351 | − | 14.5492i | −0.157419 | − | 0.296923i | ||||
\(50\) | −4.09782 | + | 18.6166i | −0.0819563 | + | 0.372331i | ||||
\(51\) | 30.0966 | − | 13.9242i | 0.590130 | − | 0.273023i | ||||
\(52\) | −2.23405 | + | 3.71303i | −0.0429626 | + | 0.0714044i | ||||
\(53\) | −36.8878 | + | 69.5777i | −0.695996 | + | 1.31279i | 0.243391 | + | 0.969928i | \(0.421740\pi\) |
−0.939387 | + | 0.342859i | \(0.888605\pi\) | |||||||
\(54\) | −6.89073 | − | 5.85304i | −0.127606 | − | 0.108390i | ||||
\(55\) | 31.6853 | − | 33.4498i | 0.576097 | − | 0.608178i | ||||
\(56\) | −5.33555 | + | 49.0596i | −0.0952776 | + | 0.876063i | ||||
\(57\) | −11.6381 | + | 29.2095i | −0.204178 | + | 0.512447i | ||||
\(58\) | 31.7107i | 0.546736i | ||||||||
\(59\) | 41.7646 | + | 41.6739i | 0.707875 | + | 0.706338i | ||||
\(60\) | −6.31302 | −0.105217 | ||||||||
\(61\) | −59.3658 | − | 23.6535i | −0.973210 | − | 0.387762i | −0.171308 | − | 0.985218i | \(-0.554799\pi\) |
−0.801902 | + | 0.597455i | \(0.796179\pi\) | |||||||
\(62\) | −4.03077 | − | 0.438373i | −0.0650125 | − | 0.00707054i | ||||
\(63\) | −12.4226 | − | 11.7674i | −0.197185 | − | 0.186783i | ||||
\(64\) | −46.0123 | + | 54.1699i | −0.718943 | + | 0.846405i | ||||
\(65\) | 14.7522 | + | 7.82114i | 0.226957 | + | 0.120325i | ||||
\(66\) | 31.7478 | + | 19.1020i | 0.481027 | + | 0.289425i | ||||
\(67\) | −46.8645 | − | 101.296i | −0.699471 | − | 1.51188i | −0.851977 | − | 0.523579i | \(-0.824597\pi\) |
0.152506 | − | 0.988302i | \(-0.451266\pi\) | |||||||
\(68\) | 18.1855 | + | 4.00294i | 0.267434 | + | 0.0588667i | ||||
\(69\) | −1.14549 | + | 0.607300i | −0.0166013 | + | 0.00880144i | ||||
\(70\) | 37.1372 | + | 2.01352i | 0.530531 | + | 0.0287646i | ||||
\(71\) | −55.1740 | − | 64.9559i | −0.777099 | − | 0.914871i | 0.221076 | − | 0.975257i | \(-0.429043\pi\) |
−0.998175 | + | 0.0603850i | \(0.980767\pi\) | |||||||
\(72\) | −5.57979 | − | 25.3493i | −0.0774971 | − | 0.352073i | ||||
\(73\) | −9.74671 | − | 12.8216i | −0.133517 | − | 0.175638i | 0.724476 | − | 0.689300i | \(-0.242082\pi\) |
−0.857993 | + | 0.513662i | \(0.828289\pi\) | |||||||
\(74\) | 13.9698 | − | 13.2329i | 0.188781 | − | 0.178823i | ||||
\(75\) | −1.02732 | − | 18.9479i | −0.0136977 | − | 0.252638i | ||||
\(76\) | −15.1284 | + | 9.10245i | −0.199058 | + | 0.119769i | ||||
\(77\) | 58.0409 | + | 39.3527i | 0.753778 | + | 0.511074i | ||||
\(78\) | −3.59220 | + | 12.9379i | −0.0460539 | + | 0.165871i | ||||
\(79\) | −63.1401 | + | 6.86689i | −0.799241 | + | 0.0869227i | −0.498620 | − | 0.866821i | \(-0.666160\pi\) |
−0.300621 | + | 0.953744i | \(0.597194\pi\) | |||||||
\(80\) | 33.3062 | + | 25.3187i | 0.416328 | + | 0.316484i | ||||
\(81\) | 8.16818 | + | 3.77900i | 0.100842 | + | 0.0466543i | ||||
\(82\) | 55.1902 | − | 37.4199i | 0.673051 | − | 0.456340i | ||||
\(83\) | 20.1449 | + | 59.7880i | 0.242710 | + | 0.720338i | 0.997896 | + | 0.0648276i | \(0.0206498\pi\) |
−0.755186 | + | 0.655510i | \(0.772454\pi\) | |||||||
\(84\) | −1.55444 | − | 9.48169i | −0.0185053 | − | 0.112877i | ||||
\(85\) | 11.6080 | − | 70.8054i | 0.136564 | − | 0.833004i | ||||
\(86\) | −11.5332 | − | 3.88600i | −0.134107 | − | 0.0451861i | ||||
\(87\) | −8.44500 | − | 30.4161i | −0.0970689 | − | 0.349611i | ||||
\(88\) | 39.3723 | + | 98.8169i | 0.447412 | + | 1.12292i | ||||
\(89\) | 44.0932 | − | 17.5683i | 0.495429 | − | 0.197397i | −0.109022 | − | 0.994039i | \(-0.534772\pi\) |
0.604451 | + | 0.796642i | \(0.293393\pi\) | |||||||
\(90\) | −18.8488 | + | 5.23333i | −0.209431 | + | 0.0581482i | ||||
\(91\) | −8.11435 | + | 24.0825i | −0.0891687 | + | 0.264643i | ||||
\(92\) | −0.718430 | − | 0.117781i | −0.00780902 | − | 0.00128022i | ||||
\(93\) | 3.98297 | − | 0.652975i | 0.0428276 | − | 0.00702123i | ||||
\(94\) | 65.2886 | − | 21.9983i | 0.694560 | − | 0.234025i | ||||
\(95\) | 38.1783 | + | 56.3088i | 0.401877 | + | 0.592725i | ||||
\(96\) | 11.0427 | − | 23.8684i | 0.115028 | − | 0.248629i | ||||
\(97\) | 4.82641 | − | 6.34903i | 0.0497568 | − | 0.0654539i | −0.770542 | − | 0.637390i | \(-0.780014\pi\) |
0.820298 | + | 0.571936i | \(0.193807\pi\) | |||||||
\(98\) | −3.09789 | − | 28.4846i | −0.0316111 | − | 0.290659i | ||||
\(99\) | −35.5389 | − | 9.86732i | −0.358979 | − | 0.0996699i | ||||
\(100\) | 5.97958 | − | 8.81922i | 0.0597958 | − | 0.0881922i | ||||
\(101\) | −7.06150 | − | 11.7363i | −0.0699159 | − | 0.116201i | 0.819927 | − | 0.572468i | \(-0.194014\pi\) |
−0.889843 | + | 0.456267i | \(0.849186\pi\) | |||||||
\(102\) | 57.6148 | − | 3.12378i | 0.564851 | − | 0.0306253i | ||||
\(103\) | −96.3629 | − | 101.729i | −0.935562 | − | 0.987661i | 0.0643852 | − | 0.997925i | \(-0.479491\pi\) |
−0.999947 | + | 0.0102642i | \(0.996733\pi\) | |||||||
\(104\) | −30.6885 | + | 23.3288i | −0.295082 | + | 0.224315i | ||||
\(105\) | −36.1573 | + | 7.95883i | −0.344356 | + | 0.0757984i | ||||
\(106\) | −104.434 | + | 88.7069i | −0.985225 | + | 0.836858i | ||||
\(107\) | 1.09727 | − | 20.2380i | 0.0102549 | − | 0.189140i | −0.988918 | − | 0.148466i | \(-0.952567\pi\) |
0.999172 | − | 0.0406746i | \(-0.0129507\pi\) | |||||||
\(108\) | 2.36719 | + | 4.46499i | 0.0219184 | + | 0.0413425i | ||||
\(109\) | 15.7241 | − | 71.4355i | 0.144258 | − | 0.655372i | −0.847876 | − | 0.530194i | \(-0.822119\pi\) |
0.992134 | − | 0.125177i | \(-0.0399500\pi\) | |||||||
\(110\) | 72.7576 | − | 33.6613i | 0.661433 | − | 0.306011i | ||||
\(111\) | −9.87540 | + | 16.4131i | −0.0889676 | + | 0.147865i | ||||
\(112\) | −29.8259 | + | 56.2577i | −0.266303 | + | 0.502301i | ||||
\(113\) | −32.1307 | − | 27.2921i | −0.284343 | − | 0.241523i | 0.493852 | − | 0.869546i | \(-0.335588\pi\) |
−0.778195 | + | 0.628023i | \(0.783864\pi\) | |||||||
\(114\) | −37.6230 | + | 39.7182i | −0.330027 | + | 0.348405i | ||||
\(115\) | −0.303299 | + | 2.78879i | −0.00263738 | + | 0.0242503i | ||||
\(116\) | 6.56083 | − | 16.4664i | 0.0565589 | − | 0.141952i | ||||
\(117\) | − | 13.3664i | − | 0.114243i | ||||||
\(118\) | 40.6682 | + | 94.2578i | 0.344646 | + | 0.798795i | ||||
\(119\) | 109.203 | 0.917669 | ||||||||
\(120\) | −52.1717 | − | 20.7871i | −0.434764 | − | 0.173226i | ||||
\(121\) | 29.9762 | + | 3.26011i | 0.247737 | + | 0.0269430i | ||||
\(122\) | −80.7238 | − | 76.4657i | −0.661671 | − | 0.626768i | ||||
\(123\) | −42.9717 | + | 50.5902i | −0.349364 | + | 0.411303i | ||||
\(124\) | 2.00237 | + | 1.06159i | 0.0161481 | + | 0.00856119i | ||||
\(125\) | −115.459 | − | 69.4692i | −0.923669 | − | 0.555753i | ||||
\(126\) | −12.5012 | − | 27.0209i | −0.0992157 | − | 0.214451i | ||||
\(127\) | 154.317 | + | 33.9677i | 1.21509 | + | 0.267462i | 0.775857 | − | 0.630909i | \(-0.217318\pi\) |
0.439237 | + | 0.898371i | \(0.355249\pi\) | |||||||
\(128\) | −55.5994 | + | 29.4770i | −0.434371 | + | 0.230289i | ||||
\(129\) | 12.0973 | + | 0.655897i | 0.0937776 | + | 0.00508447i | ||||
\(130\) | 18.8081 | + | 22.1426i | 0.144678 | + | 0.170328i | ||||
\(131\) | −42.0528 | − | 191.048i | −0.321014 | − | 1.45838i | −0.810175 | − | 0.586188i | \(-0.800628\pi\) |
0.489161 | − | 0.872193i | \(-0.337303\pi\) | |||||||
\(132\) | −12.5336 | − | 16.4876i | −0.0949514 | − | 0.124906i | ||||
\(133\) | −75.1711 | + | 71.2059i | −0.565196 | + | 0.535382i | ||||
\(134\) | −10.5137 | − | 193.914i | −0.0784604 | − | 1.44712i | ||||
\(135\) | 16.6856 | − | 10.0394i | 0.123597 | − | 0.0743658i | ||||
\(136\) | 137.107 | + | 92.9608i | 1.00814 | + | 0.683536i | ||||
\(137\) | −46.5497 | + | 167.657i | −0.339779 | + | 1.22377i | 0.574438 | + | 0.818548i | \(0.305221\pi\) |
−0.914217 | + | 0.405225i | \(0.867193\pi\) | |||||||
\(138\) | −2.24265 | + | 0.243903i | −0.0162511 | + | 0.00176741i | ||||
\(139\) | −118.881 | − | 90.3709i | −0.855258 | − | 0.650151i | 0.0828235 | − | 0.996564i | \(-0.473606\pi\) |
−0.938082 | + | 0.346414i | \(0.887399\pi\) | |||||||
\(140\) | −18.8677 | − | 8.72912i | −0.134769 | − | 0.0623508i | ||||
\(141\) | −56.7649 | + | 38.4875i | −0.402588 | + | 0.272961i | ||||
\(142\) | −47.3487 | − | 140.526i | −0.333442 | − | 0.989620i | ||||
\(143\) | 8.86202 | + | 54.0559i | 0.0619721 | + | 0.378013i | ||||
\(144\) | 5.41829 | − | 33.0501i | 0.0376270 | − | 0.229515i | ||||
\(145\) | −64.7246 | − | 21.8083i | −0.446377 | − | 0.150402i | ||||
\(146\) | −7.49694 | − | 27.0015i | −0.0513489 | − | 0.184942i | ||||
\(147\) | 10.5573 | + | 26.4968i | 0.0718182 | + | 0.180250i | ||||
\(148\) | −9.99196 | + | 3.98116i | −0.0675133 | + | 0.0268997i | ||||
\(149\) | −114.938 | + | 31.9125i | −0.771398 | + | 0.214178i | −0.630859 | − | 0.775898i | \(-0.717297\pi\) |
−0.140539 | + | 0.990075i | \(0.544884\pi\) | |||||||
\(150\) | 10.5423 | − | 31.2884i | 0.0702820 | − | 0.208590i | ||||
\(151\) | 153.477 | + | 25.1613i | 1.01641 | + | 0.166631i | 0.646882 | − | 0.762590i | \(-0.276073\pi\) |
0.369524 | + | 0.929221i | \(0.379521\pi\) | |||||||
\(152\) | −154.995 | + | 25.4101i | −1.01970 | + | 0.167172i | ||||
\(153\) | −54.4308 | + | 18.3399i | −0.355757 | + | 0.119869i | ||||
\(154\) | 68.4717 | + | 100.988i | 0.444621 | + | 0.655767i | ||||
\(155\) | 3.66683 | − | 7.92573i | 0.0236570 | − | 0.0511338i | ||||
\(156\) | 4.54214 | − | 5.97509i | 0.0291163 | − | 0.0383018i | ||||
\(157\) | −16.4010 | − | 150.804i | −0.104465 | − | 0.960537i | −0.922665 | − | 0.385603i | \(-0.873993\pi\) |
0.818200 | − | 0.574934i | \(-0.194972\pi\) | |||||||
\(158\) | −106.480 | − | 29.5641i | −0.673925 | − | 0.187114i | ||||
\(159\) | 76.5466 | − | 112.898i | 0.481425 | − | 0.710049i | ||||
\(160\) | −29.3362 | − | 48.7572i | −0.183352 | − | 0.304733i | ||||
\(161\) | −4.26323 | + | 0.231146i | −0.0264797 | + | 0.00143569i | ||||
\(162\) | 10.7691 | + | 11.3687i | 0.0664756 | + | 0.0701775i | ||||
\(163\) | −189.713 | + | 144.216i | −1.16388 | + | 0.884762i | −0.994901 | − | 0.100857i | \(-0.967842\pi\) |
−0.168984 | + | 0.985619i | \(0.554049\pi\) | |||||||
\(164\) | −36.4007 | + | 8.01241i | −0.221956 | + | 0.0488562i | ||||
\(165\) | −60.8229 | + | 51.6635i | −0.368624 | + | 0.313112i | ||||
\(166\) | −5.94307 | + | 109.613i | −0.0358016 | + | 0.660322i | ||||
\(167\) | −96.0690 | − | 181.205i | −0.575264 | − | 1.08506i | −0.984951 | − | 0.172836i | \(-0.944707\pi\) |
0.409687 | − | 0.912226i | \(-0.365638\pi\) | |||||||
\(168\) | 18.3745 | − | 83.4763i | 0.109372 | − | 0.496883i | ||||
\(169\) | 135.364 | − | 62.6259i | 0.800969 | − | 0.370568i | ||||
\(170\) | 64.3629 | − | 106.972i | 0.378605 | − | 0.629247i | ||||
\(171\) | 25.5096 | − | 48.1163i | 0.149179 | − | 0.281382i | ||||
\(172\) | 5.18488 | + | 4.40408i | 0.0301447 | + | 0.0256051i | ||||
\(173\) | −121.109 | + | 127.853i | −0.700051 | + | 0.739035i | −0.974947 | − | 0.222439i | \(-0.928598\pi\) |
0.274896 | + | 0.961474i | \(0.411357\pi\) | |||||||
\(174\) | 5.93838 | − | 54.6025i | 0.0341286 | − | 0.313808i | ||||
\(175\) | 23.1292 | − | 58.0498i | 0.132167 | − | 0.331713i | ||||
\(176\) | 137.252i | 0.779841i | ||||||||
\(177\) | −64.1102 | − | 79.5794i | −0.362205 | − | 0.449601i | ||||
\(178\) | 82.5853 | 0.463962 | ||||||||
\(179\) | 121.194 | + | 48.2882i | 0.677063 | + | 0.269766i | 0.683218 | − | 0.730215i | \(-0.260580\pi\) |
−0.00615513 | + | 0.999981i | \(0.501959\pi\) | |||||||
\(180\) | 10.8704 | + | 1.18223i | 0.0603910 | + | 0.00656792i | ||||
\(181\) | 151.038 | + | 143.070i | 0.834462 | + | 0.790444i | 0.980019 | − | 0.198905i | \(-0.0637387\pi\) |
−0.145557 | + | 0.989350i | \(0.546497\pi\) | |||||||
\(182\) | −28.6255 | + | 33.7005i | −0.157283 | + | 0.185168i | ||||
\(183\) | 97.7923 | + | 51.8462i | 0.534384 | + | 0.283313i | ||||
\(184\) | −5.54938 | − | 3.33895i | −0.0301597 | − | 0.0181465i | ||||
\(185\) | 17.4023 | + | 37.6144i | 0.0940663 | + | 0.203321i | ||||
\(186\) | 6.85849 | + | 1.50967i | 0.0368736 | + | 0.00811649i | ||||
\(187\) | 207.967 | − | 110.257i | 1.11212 | − | 0.589611i | ||||
\(188\) | −38.4539 | − | 2.08491i | −0.204542 | − | 0.0110899i | ||||
\(189\) | 19.1869 | + | 22.5885i | 0.101518 | + | 0.119516i | ||||
\(190\) | 25.4463 | + | 115.604i | 0.133928 | + | 0.608440i | ||||
\(191\) | 203.108 | + | 267.184i | 1.06339 | + | 1.39887i | 0.911900 | + | 0.410412i | \(0.134615\pi\) |
0.151493 | + | 0.988458i | \(0.451592\pi\) | |||||||
\(192\) | 89.3728 | − | 84.6584i | 0.465483 | − | 0.440929i | ||||
\(193\) | 16.3991 | + | 302.463i | 0.0849693 | + | 1.56717i | 0.661408 | + | 0.750026i | \(0.269959\pi\) |
−0.576439 | + | 0.817140i | \(0.695558\pi\) | |||||||
\(194\) | 11.8902 | − | 7.15408i | 0.0612896 | − | 0.0368767i | ||||
\(195\) | −23.9372 | − | 16.2298i | −0.122755 | − | 0.0832298i | ||||
\(196\) | −4.28472 | + | 15.4322i | −0.0218608 | + | 0.0787356i | ||||
\(197\) | −83.5643 | + | 9.08816i | −0.424184 | + | 0.0461328i | −0.317722 | − | 0.948184i | \(-0.602918\pi\) |
−0.106462 | + | 0.994317i | \(0.533952\pi\) | |||||||
\(198\) | −51.0893 | − | 38.8371i | −0.258027 | − | 0.196147i | ||||
\(199\) | 324.414 | + | 150.090i | 1.63022 | + | 0.754221i | 0.999758 | − | 0.0219988i | \(-0.00700300\pi\) |
0.630463 | + | 0.776219i | \(0.282865\pi\) | |||||||
\(200\) | 78.4554 | − | 53.1941i | 0.392277 | − | 0.265970i | ||||
\(201\) | 61.7265 | + | 183.198i | 0.307097 | + | 0.911431i | ||||
\(202\) | −3.85558 | − | 23.5180i | −0.0190870 | − | 0.116426i | ||||
\(203\) | 16.8174 | − | 102.581i | 0.0828442 | − | 0.505327i | ||||
\(204\) | −30.5640 | − | 10.2982i | −0.149823 | − | 0.0504814i | ||||
\(205\) | 38.4220 | + | 138.383i | 0.187424 | + | 0.675041i | ||||
\(206\) | −90.2425 | − | 226.492i | −0.438071 | − | 1.09947i | ||||
\(207\) | 2.08614 | − | 0.831195i | 0.0100780 | − | 0.00401543i | ||||
\(208\) | −47.9268 | + | 13.3068i | −0.230418 | + | 0.0639751i | ||||
\(209\) | −71.2636 | + | 211.503i | −0.340974 | + | 1.01197i | ||||
\(210\) | −63.5693 | − | 10.4217i | −0.302711 | − | 0.0496270i | ||||
\(211\) | −147.730 | + | 24.2191i | −0.700141 | + | 0.114782i | −0.501331 | − | 0.865256i | \(-0.667156\pi\) |
−0.198810 | + | 0.980038i | \(0.563708\pi\) | |||||||
\(212\) | 72.5827 | − | 24.4560i | 0.342371 | − | 0.115358i | ||||
\(213\) | 82.8399 | + | 122.180i | 0.388920 | + | 0.573613i | ||||
\(214\) | 14.8073 | − | 32.0055i | 0.0691930 | − | 0.149558i | ||||
\(215\) | 15.8634 | − | 20.8680i | 0.0737834 | − | 0.0970604i | ||||
\(216\) | 4.86074 | + | 44.6937i | 0.0225034 | + | 0.206915i | ||||
\(217\) | 12.8067 | + | 3.55577i | 0.0590172 | + | 0.0163861i | ||||
\(218\) | 71.4220 | − | 105.340i | 0.327624 | − | 0.483209i | ||||
\(219\) | 14.3818 | + | 23.9027i | 0.0656702 | + | 0.109145i | ||||
\(220\) | −44.7453 | + | 2.42602i | −0.203388 | + | 0.0110274i | ||||
\(221\) | 58.6634 | + | 61.9302i | 0.265445 | + | 0.280227i | ||||
\(222\) | −26.5327 | + | 20.1696i | −0.119517 | + | 0.0908541i | ||||
\(223\) | 390.713 | − | 86.0025i | 1.75208 | − | 0.385661i | 0.781020 | − | 0.624506i | \(-0.214700\pi\) |
0.971058 | + | 0.238845i | \(0.0767687\pi\) | |||||||
\(224\) | 66.0063 | − | 56.0663i | 0.294671 | − | 0.250296i | ||||
\(225\) | −1.77938 | + | 32.8187i | −0.00790835 | + | 0.145861i | ||||
\(226\) | −34.3585 | − | 64.8070i | −0.152029 | − | 0.286757i | ||||
\(227\) | 46.3433 | − | 210.540i | 0.204156 | − | 0.927488i | −0.757416 | − | 0.652933i | \(-0.773538\pi\) |
0.961571 | − | 0.274555i | \(-0.0885306\pi\) | |||||||
\(228\) | 27.7541 | − | 12.8404i | 0.121729 | − | 0.0563176i | ||||
\(229\) | 49.5462 | − | 82.3464i | 0.216359 | − | 0.359591i | −0.729602 | − | 0.683872i | \(-0.760295\pi\) |
0.945961 | + | 0.324281i | \(0.105122\pi\) | |||||||
\(230\) | −2.28628 | + | 4.31238i | −0.00994035 | + | 0.0187495i | ||||
\(231\) | −92.5710 | − | 78.6305i | −0.400740 | − | 0.340392i | ||||
\(232\) | 108.439 | − | 114.478i | 0.467410 | − | 0.493439i | ||||
\(233\) | −30.1259 | + | 277.003i | −0.129296 | + | 1.18885i | 0.732200 | + | 0.681090i | \(0.238494\pi\) |
−0.861496 | + | 0.507765i | \(0.830472\pi\) | |||||||
\(234\) | 8.60826 | − | 21.6051i | 0.0367874 | − | 0.0923295i | ||||
\(235\) | 148.389i | 0.631444i | ||||||||
\(236\) | −1.61622 | − | 57.3595i | −0.00684839 | − | 0.243049i | ||||
\(237\) | 110.007 | 0.464163 | ||||||||
\(238\) | 176.512 | + | 70.3288i | 0.741647 | + | 0.295499i | ||||
\(239\) | 156.444 | + | 17.0143i | 0.654577 | + | 0.0711895i | 0.429380 | − | 0.903124i | \(-0.358732\pi\) |
0.225197 | + | 0.974313i | \(0.427698\pi\) | |||||||
\(240\) | −52.6085 | − | 49.8335i | −0.219202 | − | 0.207639i | ||||
\(241\) | −138.732 | + | 163.328i | −0.575651 | + | 0.677708i | −0.970518 | − | 0.241030i | \(-0.922515\pi\) |
0.394867 | + | 0.918738i | \(0.370791\pi\) | |||||||
\(242\) | 46.3531 | + | 24.5749i | 0.191542 | + | 0.101549i | ||||
\(243\) | −13.3571 | − | 8.03669i | −0.0549674 | − | 0.0330728i | ||||
\(244\) | 26.0971 | + | 56.4079i | 0.106955 | + | 0.231180i | ||||
\(245\) | 60.2704 | + | 13.2665i | 0.246002 | + | 0.0541491i | ||||
\(246\) | −102.039 | + | 54.0979i | −0.414794 | + | 0.219910i | ||||
\(247\) | −80.7635 | − | 4.37887i | −0.326978 | − | 0.0177282i | ||||
\(248\) | 13.0523 | + | 15.3664i | 0.0526303 | + | 0.0619611i | ||||
\(249\) | −23.4911 | − | 106.721i | −0.0943419 | − | 0.428600i | ||||
\(250\) | −141.884 | − | 186.646i | −0.567538 | − | 0.746583i | ||||
\(251\) | 108.764 | − | 103.027i | 0.433325 | − | 0.410467i | −0.439699 | − | 0.898145i | \(-0.644915\pi\) |
0.873023 | + | 0.487678i | \(0.162156\pi\) | |||||||
\(252\) | 0.900980 | + | 16.6176i | 0.00357532 | + | 0.0659429i | ||||
\(253\) | −7.88559 | + | 4.74460i | −0.0311684 | + | 0.0187534i | ||||
\(254\) | 227.557 | + | 154.288i | 0.895896 | + | 0.607432i | ||||
\(255\) | −33.2473 | + | 119.746i | −0.130381 | + | 0.469591i | ||||
\(256\) | 173.776 | − | 18.8993i | 0.678814 | − | 0.0738255i | ||||
\(257\) | −96.8939 | − | 73.6568i | −0.377019 | − | 0.286602i | 0.399454 | − | 0.916753i | \(-0.369200\pi\) |
−0.776473 | + | 0.630151i | \(0.782993\pi\) | |||||||
\(258\) | 19.1313 | + | 8.85110i | 0.0741525 | + | 0.0343066i | ||||
\(259\) | −52.2091 | + | 35.3986i | −0.201580 | + | 0.136674i | ||||
\(260\) | −5.18528 | − | 15.3893i | −0.0199434 | − | 0.0591898i | ||||
\(261\) | 8.84546 | + | 53.9549i | 0.0338907 | + | 0.206724i | ||||
\(262\) | 55.0659 | − | 335.887i | 0.210175 | − | 1.28201i | ||||
\(263\) | −161.518 | − | 54.4216i | −0.614135 | − | 0.206926i | −0.00499342 | − | 0.999988i | \(-0.501589\pi\) |
−0.609142 | + | 0.793061i | \(0.708486\pi\) | |||||||
\(264\) | −49.2898 | − | 177.526i | −0.186704 | − | 0.672446i | ||||
\(265\) | −109.238 | − | 274.166i | −0.412218 | − | 1.03459i | ||||
\(266\) | −167.363 | + | 66.6833i | −0.629182 | + | 0.250689i | ||||
\(267\) | −79.2139 | + | 21.9936i | −0.296681 | + | 0.0823731i | ||||
\(268\) | −34.6606 | + | 102.869i | −0.129331 | + | 0.383840i | ||||
\(269\) | −309.765 | − | 50.7834i | −1.15154 | − | 0.188786i | −0.444382 | − | 0.895838i | \(-0.646577\pi\) |
−0.707162 | + | 0.707052i | \(0.750025\pi\) | |||||||
\(270\) | 33.4357 | − | 5.48150i | 0.123836 | − | 0.0203019i | ||||
\(271\) | 111.089 | − | 37.4302i | 0.409922 | − | 0.138119i | −0.106783 | − | 0.994282i | \(-0.534055\pi\) |
0.516705 | + | 0.856163i | \(0.327158\pi\) | |||||||
\(272\) | 119.948 | + | 176.910i | 0.440985 | + | 0.650404i | ||||
\(273\) | 18.4820 | − | 39.9481i | 0.0676995 | − | 0.146330i | ||||
\(274\) | −183.216 | + | 241.017i | −0.668672 | + | 0.879623i | ||||
\(275\) | −14.5629 | − | 133.904i | −0.0529560 | − | 0.486922i | ||||
\(276\) | 1.21501 | + | 0.337345i | 0.00440219 | + | 0.00122226i | ||||
\(277\) | 44.7565 | − | 66.0109i | 0.161576 | − | 0.238307i | −0.738280 | − | 0.674495i | \(-0.764361\pi\) |
0.899855 | + | 0.436188i | \(0.143672\pi\) | |||||||
\(278\) | −133.955 | − | 222.635i | −0.481852 | − | 0.800845i | ||||
\(279\) | −6.98055 | + | 0.378474i | −0.0250199 | + | 0.00135654i | ||||
\(280\) | −127.182 | − | 134.265i | −0.454223 | − | 0.479517i | ||||
\(281\) | 71.0621 | − | 54.0200i | 0.252890 | − | 0.192242i | −0.471047 | − | 0.882108i | \(-0.656124\pi\) |
0.723937 | + | 0.689866i | \(0.242331\pi\) | |||||||
\(282\) | −116.540 | + | 25.6524i | −0.413262 | + | 0.0909659i | ||||
\(283\) | −412.450 | + | 350.338i | −1.45742 | + | 1.23794i | −0.539020 | + | 0.842293i | \(0.681205\pi\) |
−0.918401 | + | 0.395652i | \(0.870519\pi\) | |||||||
\(284\) | −4.48752 | + | 82.7674i | −0.0158011 | + | 0.291435i | ||||
\(285\) | −55.1944 | − | 104.108i | −0.193664 | − | 0.365290i | ||||
\(286\) | −20.4888 | + | 93.0817i | −0.0716393 | + | 0.325461i | ||||
\(287\) | −198.381 | + | 91.7808i | −0.691223 | + | 0.319794i | ||||
\(288\) | −23.4841 | + | 39.0309i | −0.0815422 | + | 0.135524i | ||||
\(289\) | 36.3312 | − | 68.5278i | 0.125713 | − | 0.237121i | ||||
\(290\) | −90.5741 | − | 76.9343i | −0.312324 | − | 0.265291i | ||||
\(291\) | −9.49954 | + | 10.0285i | −0.0326445 | + | 0.0344624i | ||||
\(292\) | −1.69358 | + | 15.5722i | −0.00579993 | + | 0.0533295i | ||||
\(293\) | −126.217 | + | 316.780i | −0.430774 | + | 1.08116i | 0.540106 | + | 0.841597i | \(0.318384\pi\) |
−0.970880 | + | 0.239564i | \(0.922995\pi\) | |||||||
\(294\) | 49.6277i | 0.168802i | ||||||||
\(295\) | −220.358 | + | 18.1843i | −0.746977 | + | 0.0616417i | ||||
\(296\) | −95.6838 | −0.323256 | ||||||||
\(297\) | 59.3465 | + | 23.6458i | 0.199820 | + | 0.0796155i | ||||
\(298\) | −206.335 | − | 22.4403i | −0.692400 | − | 0.0753030i | ||||
\(299\) | −2.42128 | − | 2.29356i | −0.00809794 | − | 0.00767077i | ||||
\(300\) | −11.9478 | + | 14.0660i | −0.0398259 | + | 0.0468867i | ||||
\(301\) | 35.2482 | + | 18.6874i | 0.117104 | + | 0.0620844i | ||||
\(302\) | 231.872 | + | 139.513i | 0.767787 | + | 0.461962i | ||||
\(303\) | 9.96135 | + | 21.5311i | 0.0328758 | + | 0.0710598i | ||||
\(304\) | −197.922 | − | 43.5660i | −0.651060 | − | 0.143309i | ||||
\(305\) | 211.590 | − | 112.178i | 0.693738 | − | 0.367796i | ||||
\(306\) | −99.7917 | − | 5.41055i | −0.326117 | − | 0.0176815i | ||||
\(307\) | −313.703 | − | 369.320i | −1.02183 | − | 1.20300i | −0.978989 | − | 0.203913i | \(-0.934634\pi\) |
−0.0428443 | − | 0.999082i | \(-0.513642\pi\) | |||||||
\(308\) | −14.6613 | − | 66.6068i | −0.0476015 | − | 0.216256i | ||||
\(309\) | 146.876 | + | 193.213i | 0.475328 | + | 0.625284i | ||||
\(310\) | 11.0313 | − | 10.4494i | 0.0355849 | − | 0.0337078i | ||||
\(311\) | −24.5093 | − | 452.048i | −0.0788082 | − | 1.45353i | −0.724153 | − | 0.689640i | \(-0.757769\pi\) |
0.645345 | − | 0.763892i | \(-0.276714\pi\) | |||||||
\(312\) | 57.2112 | − | 34.4228i | 0.183369 | − | 0.110330i | ||||
\(313\) | 62.6591 | + | 42.4839i | 0.200189 | + | 0.135731i | 0.657163 | − | 0.753749i | \(-0.271756\pi\) |
−0.456974 | + | 0.889480i | \(0.651067\pi\) | |||||||
\(314\) | 70.6112 | − | 254.318i | 0.224876 | − | 0.809931i | ||||
\(315\) | 63.7496 | − | 6.93319i | 0.202380 | − | 0.0220101i | ||||
\(316\) | 49.1754 | + | 37.3822i | 0.155618 | + | 0.118298i | ||||
\(317\) | 427.608 | + | 197.832i | 1.34892 | + | 0.624077i | 0.955421 | − | 0.295247i | \(-0.0954021\pi\) |
0.393500 | + | 0.919325i | \(0.371264\pi\) | |||||||
\(318\) | 196.436 | − | 133.187i | 0.617725 | − | 0.418828i | ||||
\(319\) | −71.5449 | − | 212.338i | −0.224279 | − | 0.665635i | ||||
\(320\) | −43.0915 | − | 262.847i | −0.134661 | − | 0.821396i | ||||
\(321\) | −5.67931 | + | 34.6423i | −0.0176926 | + | 0.107920i | ||||
\(322\) | −7.03983 | − | 2.37199i | −0.0218628 | − | 0.00736644i | ||||
\(323\) | 92.9828 | + | 334.894i | 0.287872 | + | 1.03682i | ||||
\(324\) | −3.23990 | − | 8.13155i | −0.00999970 | − | 0.0250974i | ||||
\(325\) | 45.3457 | − | 18.0674i | 0.139525 | − | 0.0555920i | ||||
\(326\) | −399.525 | + | 110.928i | −1.22554 | + | 0.340269i | ||||
\(327\) | −40.4529 | + | 120.060i | −0.123709 | + | 0.367156i | ||||
\(328\) | −327.203 | − | 53.6423i | −0.997571 | − | 0.163543i | ||||
\(329\) | −222.870 | + | 36.5377i | −0.677416 | + | 0.111057i | ||||
\(330\) | −131.585 | + | 44.3361i | −0.398742 | + | 0.134352i | ||||
\(331\) | −313.195 | − | 461.928i | −0.946209 | − | 1.39555i | −0.918275 | − | 0.395943i | \(-0.870418\pi\) |
−0.0279336 | − | 0.999610i | \(-0.508893\pi\) | |||||||
\(332\) | 25.7647 | − | 55.6895i | 0.0776045 | − | 0.167739i | ||||
\(333\) | 20.0781 | − | 26.4122i | 0.0602945 | − | 0.0793161i | ||||
\(334\) | −38.5831 | − | 354.766i | −0.115518 | − | 1.06217i | ||||
\(335\) | 403.028 | + | 111.900i | 1.20307 | + | 0.334030i | ||||
\(336\) | 61.8924 | − | 91.2845i | 0.184204 | − | 0.271680i | ||||
\(337\) | −162.358 | − | 269.842i | −0.481776 | − | 0.800717i | 0.516685 | − | 0.856175i | \(-0.327166\pi\) |
−0.998461 | + | 0.0554580i | \(0.982338\pi\) | |||||||
\(338\) | 259.130 | − | 14.0496i | 0.766658 | − | 0.0415670i | ||||
\(339\) | 50.2149 | + | 53.0112i | 0.148126 | + | 0.156375i | ||||
\(340\) | −55.5540 | + | 42.2310i | −0.163394 | + | 0.124209i | ||||
\(341\) | 27.9795 | − | 6.15875i | 0.0820513 | − | 0.0180609i | ||||
\(342\) | 72.2209 | − | 61.3450i | 0.211172 | − | 0.179371i | ||||
\(343\) | −20.2159 | + | 372.861i | −0.0589386 | + | 1.08706i | ||||
\(344\) | 28.3471 | + | 53.4683i | 0.0824043 | + | 0.155431i | ||||
\(345\) | 1.04450 | − | 4.74521i | 0.00302753 | − | 0.0137542i | ||||
\(346\) | −278.097 | + | 128.661i | −0.803748 | + | 0.371853i | ||||
\(347\) | −277.165 | + | 460.651i | −0.798745 | + | 1.32753i | 0.142498 | + | 0.989795i | \(0.454487\pi\) |
−0.941243 | + | 0.337730i | \(0.890341\pi\) | |||||||
\(348\) | −14.3807 | + | 27.1249i | −0.0413239 | + | 0.0779451i | ||||
\(349\) | −241.887 | − | 205.460i | −0.693085 | − | 0.588711i | 0.230054 | − | 0.973178i | \(-0.426110\pi\) |
−0.923139 | + | 0.384466i | \(0.874385\pi\) | |||||||
\(350\) | 74.7707 | − | 78.9344i | 0.213630 | − | 0.225527i | ||||
\(351\) | −2.50310 | + | 23.0156i | −0.00713134 | + | 0.0655715i | ||||
\(352\) | 69.0958 | − | 173.417i | 0.196295 | − | 0.492663i | ||||
\(353\) | 130.432i | 0.369497i | 0.982786 | + | 0.184748i | \(0.0591470\pi\) | ||||
−0.982786 | + | 0.184748i | \(0.940853\pi\) | |||||||
\(354\) | −52.3751 | − | 169.918i | −0.147952 | − | 0.479995i | ||||
\(355\) | 319.391 | 0.899692 | ||||||||
\(356\) | −42.8842 | − | 17.0866i | −0.120461 | − | 0.0479961i | ||||
\(357\) | −188.036 | − | 20.4501i | −0.526711 | − | 0.0572832i | ||||
\(358\) | 164.796 | + | 156.103i | 0.460325 | + | 0.436043i | ||||
\(359\) | 66.9983 | − | 78.8765i | 0.186625 | − | 0.219712i | −0.660891 | − | 0.750482i | \(-0.729821\pi\) |
0.847516 | + | 0.530770i | \(0.178097\pi\) | |||||||
\(360\) | 85.9415 | + | 45.5633i | 0.238726 | + | 0.126565i | ||||
\(361\) | 26.9512 | + | 16.2160i | 0.0746571 | + | 0.0449197i | ||||
\(362\) | 151.992 | + | 328.526i | 0.419869 | + | 0.907531i | ||||
\(363\) | −51.0054 | − | 11.2271i | −0.140511 | − | 0.0309288i | ||||
\(364\) | 21.8369 | − | 11.5772i | 0.0599915 | − | 0.0318055i | ||||
\(365\) | 60.2686 | + | 3.26767i | 0.165120 | + | 0.00895252i | ||||
\(366\) | 124.679 | + | 146.783i | 0.340652 | + | 0.401046i | ||||
\(367\) | −15.3431 | − | 69.7046i | −0.0418069 | − | 0.189931i | 0.951089 | − | 0.308917i | \(-0.0999666\pi\) |
−0.992896 | + | 0.118986i | \(0.962036\pi\) | |||||||
\(368\) | −5.05718 | − | 6.65261i | −0.0137423 | − | 0.0180777i | ||||
\(369\) | 83.4668 | − | 79.0640i | 0.226197 | − | 0.214265i | ||||
\(370\) | 3.90407 | + | 72.0063i | 0.0105515 | + | 0.194611i | ||||
\(371\) | 384.880 | − | 231.574i | 1.03741 | − | 0.624190i | ||||
\(372\) | −3.24907 | − | 2.20292i | −0.00873406 | − | 0.00592184i | ||||
\(373\) | 135.236 | − | 487.076i | 0.362563 | − | 1.30583i | −0.527328 | − | 0.849662i | \(-0.676806\pi\) |
0.889891 | − | 0.456172i | \(-0.150780\pi\) | |||||||
\(374\) | 407.160 | − | 44.2814i | 1.08866 | − | 0.118399i | ||||
\(375\) | 185.799 | + | 141.240i | 0.495463 | + | 0.376641i | ||||
\(376\) | −310.923 | − | 143.848i | −0.826923 | − | 0.382575i | ||||
\(377\) | 67.2094 | − | 45.5691i | 0.178274 | − | 0.120873i | ||||
\(378\) | 16.4656 | + | 48.8682i | 0.0435598 | + | 0.129281i | ||||
\(379\) | −26.9775 | − | 164.555i | −0.0711807 | − | 0.434183i | −0.998242 | − | 0.0592728i | \(-0.981122\pi\) |
0.927061 | − | 0.374910i | \(-0.122326\pi\) | |||||||
\(380\) | 10.7045 | − | 65.2944i | 0.0281697 | − | 0.171827i | ||||
\(381\) | −259.357 | − | 87.3875i | −0.680727 | − | 0.229363i | ||||
\(382\) | 156.226 | + | 562.675i | 0.408968 | + | 1.47297i | ||||
\(383\) | −60.4831 | − | 151.801i | −0.157919 | − | 0.396348i | 0.828633 | − | 0.559792i | \(-0.189119\pi\) |
−0.986553 | + | 0.163444i | \(0.947740\pi\) | |||||||
\(384\) | 101.257 | − | 40.3443i | 0.263689 | − | 0.105063i | ||||
\(385\) | −253.217 | + | 70.3053i | −0.657706 | + | 0.182611i | ||||
\(386\) | −168.286 | + | 499.454i | −0.435973 | + | 1.29392i | ||||
\(387\) | −20.7075 | − | 3.39482i | −0.0535078 | − | 0.00877215i | ||||
\(388\) | −7.65438 | + | 1.25487i | −0.0197278 | + | 0.00323421i | ||||
\(389\) | −88.2113 | + | 29.7219i | −0.226764 | + | 0.0764058i | −0.430390 | − | 0.902643i | \(-0.641624\pi\) |
0.203626 | + | 0.979049i | \(0.434727\pi\) | |||||||
\(390\) | −28.2390 | − | 41.6494i | −0.0724077 | − | 0.106793i | ||||
\(391\) | −6.01764 | + | 13.0069i | −0.0153904 | + | 0.0332658i | ||||
\(392\) | −86.2236 | + | 113.425i | −0.219958 | + | 0.289350i | ||||
\(393\) | 36.6336 | + | 336.840i | 0.0932152 | + | 0.857099i | ||||
\(394\) | −140.924 | − | 39.1273i | −0.357675 | − | 0.0993079i | ||||
\(395\) | 133.572 | − | 197.005i | 0.338158 | − | 0.498746i | ||||
\(396\) | 18.4939 | + | 30.7372i | 0.0467019 | + | 0.0776191i | ||||
\(397\) | −87.9974 | + | 4.77108i | −0.221656 | + | 0.0120178i | −0.164632 | − | 0.986355i | \(-0.552644\pi\) |
−0.0570236 | + | 0.998373i | \(0.518161\pi\) | |||||||
\(398\) | 427.712 | + | 451.530i | 1.07465 | + | 1.13450i | ||||
\(399\) | 142.772 | − | 108.532i | 0.357823 | − | 0.272010i | ||||
\(400\) | 119.447 | − | 26.2922i | 0.298617 | − | 0.0657305i | ||||
\(401\) | 93.3217 | − | 79.2682i | 0.232722 | − | 0.197676i | −0.523436 | − | 0.852065i | \(-0.675350\pi\) |
0.756158 | + | 0.654389i | \(0.227074\pi\) | |||||||
\(402\) | −18.2103 | + | 335.869i | −0.0452992 | + | 0.835494i | ||||
\(403\) | 4.86322 | + | 9.17301i | 0.0120676 | + | 0.0227618i | ||||
\(404\) | −2.86370 | + | 13.0099i | −0.00708837 | + | 0.0322028i | ||||
\(405\) | −30.6109 | + | 14.1621i | −0.0755825 | + | 0.0349682i | ||||
\(406\) | 93.2477 | − | 154.979i | 0.229674 | − | 0.381721i | ||||
\(407\) | −63.6874 | + | 120.127i | −0.156480 | + | 0.295153i | ||||
\(408\) | −218.676 | − | 185.745i | −0.535970 | − | 0.455257i | ||||
\(409\) | 221.703 | − | 234.049i | 0.542062 | − | 0.572248i | −0.396204 | − | 0.918163i | \(-0.629673\pi\) |
0.938266 | + | 0.345915i | \(0.112431\pi\) | |||||||
\(410\) | −27.0177 | + | 248.424i | −0.0658968 | + | 0.605911i | ||||
\(411\) | 111.551 | − | 279.971i | 0.271412 | − | 0.681194i | ||||
\(412\) | 136.282i | 0.330780i | ||||||||
\(413\) | −81.5699 | − | 326.484i | −0.197506 | − | 0.790519i | ||||
\(414\) | 3.90729 | 0.00943789 | ||||||||
\(415\) | −219.645 | − | 87.5144i | −0.529264 | − | 0.210878i | ||||
\(416\) | 67.2543 | + | 7.31435i | 0.161669 | + | 0.0175826i | ||||
\(417\) | 187.777 | + | 177.872i | 0.450305 | + | 0.426552i | ||||
\(418\) | −251.401 | + | 295.972i | −0.601437 | + | 0.708066i | ||||
\(419\) | −7.32071 | − | 3.88119i | −0.0174719 | − | 0.00926299i | 0.459650 | − | 0.888100i | \(-0.347975\pi\) |
−0.477121 | + | 0.878837i | \(0.658320\pi\) | |||||||
\(420\) | 30.8535 | + | 18.5639i | 0.0734608 | + | 0.0441999i | ||||
\(421\) | 168.218 | + | 363.597i | 0.399568 | + | 0.863652i | 0.998044 | + | 0.0625112i | \(0.0199109\pi\) |
−0.598477 | + | 0.801140i | \(0.704227\pi\) | |||||||
\(422\) | −254.384 | − | 55.9941i | −0.602805 | − | 0.132687i | ||||
\(423\) | 104.951 | − | 55.6414i | 0.248111 | − | 0.131540i | ||||
\(424\) | 680.360 | + | 36.8880i | 1.60462 | + | 0.0870001i | ||||
\(425\) | −135.792 | − | 159.867i | −0.319511 | − | 0.376158i | ||||
\(426\) | 55.2137 | + | 250.838i | 0.129610 | + | 0.588822i | ||||
\(427\) | 220.582 | + | 290.171i | 0.516586 | + | 0.679558i | ||||
\(428\) | −14.3108 | + | 13.5559i | −0.0334365 | + | 0.0316728i | ||||
\(429\) | −5.13656 | − | 94.7383i | −0.0119733 | − | 0.220835i | ||||
\(430\) | 39.0806 | − | 23.5140i | 0.0908852 | − | 0.0546838i | ||||
\(431\) | 43.2813 | + | 29.3454i | 0.100421 | + | 0.0680868i | 0.610364 | − | 0.792121i | \(-0.291023\pi\) |
−0.509943 | + | 0.860208i | \(0.670334\pi\) | |||||||
\(432\) | −15.5189 | + | 55.8942i | −0.0359235 | + | 0.129385i | ||||
\(433\) | 558.897 | − | 60.7838i | 1.29076 | − | 0.140378i | 0.563139 | − | 0.826362i | \(-0.309593\pi\) |
0.727617 | + | 0.685984i | \(0.240628\pi\) | |||||||
\(434\) | 18.4105 | + | 13.9953i | 0.0424204 | + | 0.0322472i | ||||
\(435\) | 107.365 | + | 49.6724i | 0.246817 | + | 0.114190i | ||||
\(436\) | −58.8818 | + | 39.9229i | −0.135050 | + | 0.0915662i | ||||
\(437\) | −4.33887 | − | 12.8773i | −0.00992877 | − | 0.0294675i | ||||
\(438\) | 7.85244 | + | 47.8978i | 0.0179280 | + | 0.109356i | ||||
\(439\) | 66.4900 | − | 405.571i | 0.151458 | − | 0.923852i | −0.796309 | − | 0.604889i | \(-0.793217\pi\) |
0.947767 | − | 0.318963i | \(-0.103334\pi\) | |||||||
\(440\) | −377.770 | − | 127.285i | −0.858567 | − | 0.289285i | ||||
\(441\) | −13.2166 | − | 47.6017i | −0.0299695 | − | 0.107940i | ||||
\(442\) | 54.9374 | + | 137.883i | 0.124293 | + | 0.311952i | ||||
\(443\) | −353.574 | + | 140.877i | −0.798134 | + | 0.318006i | −0.733313 | − | 0.679891i | \(-0.762027\pi\) |
−0.0648213 | + | 0.997897i | \(0.520648\pi\) | |||||||
\(444\) | 17.9507 | − | 4.98398i | 0.0404295 | − | 0.0112252i | ||||
\(445\) | −56.7961 | + | 168.565i | −0.127632 | + | 0.378797i | ||||
\(446\) | 686.925 | + | 112.616i | 1.54019 | + | 0.252501i | ||||
\(447\) | 203.888 | − | 33.4258i | 0.456126 | − | 0.0747780i | ||||
\(448\) | 384.166 | − | 129.441i | 0.857514 | − | 0.288930i | ||||
\(449\) | −382.379 | − | 563.967i | −0.851625 | − | 1.25605i | −0.964934 | − | 0.262492i | \(-0.915456\pi\) |
0.113310 | − | 0.993560i | \(-0.463855\pi\) | |||||||
\(450\) | −24.0121 | + | 51.9012i | −0.0533602 | + | 0.115336i | ||||
\(451\) | −285.133 | + | 375.086i | −0.632224 | + | 0.831676i | ||||
\(452\) | 4.43303 | + | 40.7611i | 0.00980759 | + | 0.0901793i | ||||
\(453\) | −259.560 | − | 72.0665i | −0.572980 | − | 0.159087i | ||||
\(454\) | 210.500 | − | 310.464i | 0.463657 | − | 0.683842i | ||||
\(455\) | −49.0996 | − | 81.6042i | −0.107911 | − | 0.179350i | ||||
\(456\) | 271.644 | − | 14.7281i | 0.595710 | − | 0.0322985i | ||||
\(457\) | −93.3032 | − | 98.4990i | −0.204165 | − | 0.215534i | 0.615870 | − | 0.787848i | \(-0.288805\pi\) |
−0.820035 | + | 0.572314i | \(0.806046\pi\) | |||||||
\(458\) | 133.118 | − | 101.194i | 0.290650 | − | 0.220947i | ||||
\(459\) | 97.1588 | − | 21.3863i | 0.211675 | − | 0.0465932i | ||||
\(460\) | 2.07942 | − | 1.76627i | 0.00452047 | − | 0.00383972i | ||||
\(461\) | −31.2954 | + | 577.210i | −0.0678859 | + | 1.25208i | 0.743966 | + | 0.668218i | \(0.232943\pi\) |
−0.811852 | + | 0.583864i | \(0.801540\pi\) | |||||||
\(462\) | −98.9894 | − | 186.714i | −0.214263 | − | 0.404142i | ||||
\(463\) | 23.8698 | − | 108.441i | 0.0515546 | − | 0.234215i | −0.943797 | − | 0.330527i | \(-0.892774\pi\) |
0.995351 | + | 0.0963120i | \(0.0307046\pi\) | |||||||
\(464\) | 184.656 | − | 85.4308i | 0.397965 | − | 0.184118i | ||||
\(465\) | −7.79815 | + | 12.9606i | −0.0167702 | + | 0.0278723i | ||||
\(466\) | −227.091 | + | 428.338i | −0.487319 | + | 0.919181i | ||||
\(467\) | −639.464 | − | 543.165i | −1.36930 | − | 1.16310i | −0.969100 | − | 0.246668i | \(-0.920664\pi\) |
−0.400201 | − | 0.916427i | \(-0.631060\pi\) | |||||||
\(468\) | −8.94004 | + | 9.43789i | −0.0191027 | + | 0.0201664i | ||||
\(469\) | −68.8289 | + | 632.871i | −0.146757 | + | 1.34941i | ||||
\(470\) | −95.5659 | + | 239.852i | −0.203332 | + | 0.510324i | ||||
\(471\) | 262.741i | 0.557837i | ||||||||
\(472\) | 175.513 | − | 479.348i | 0.371849 | − | 1.01557i | ||||
\(473\) | 85.9952 | 0.181808 | ||||||||
\(474\) | 177.812 | + | 70.8466i | 0.375130 | + | 0.149465i | ||||
\(475\) | 197.716 | + | 21.5029i | 0.416245 | + | 0.0452693i | ||||
\(476\) | −77.1068 | − | 73.0395i | −0.161989 | − | 0.153444i | ||||
\(477\) | −152.948 | + | 180.064i | −0.320645 | + | 0.377492i | ||||
\(478\) | 241.914 | + | 128.255i | 0.506096 | + | 0.268315i | ||||
\(479\) | −205.573 | − | 123.689i | −0.429172 | − | 0.258224i | 0.284539 | − | 0.958664i | \(-0.408159\pi\) |
−0.713711 | + | 0.700440i | \(0.752987\pi\) | |||||||
\(480\) | 41.3834 | + | 89.4487i | 0.0862153 | + | 0.186351i | ||||
\(481\) | −48.1216 | − | 10.5924i | −0.100045 | − | 0.0220216i | ||||
\(482\) | −329.429 | + | 174.652i | −0.683462 | + | 0.362348i | ||||
\(483\) | 7.38413 | + | 0.400356i | 0.0152881 | + | 0.000828895i | ||||
\(484\) | −18.9854 | − | 22.3513i | −0.0392260 | − | 0.0461804i | ||||
\(485\) | 6.42500 | + | 29.1891i | 0.0132474 | + | 0.0601837i | ||||
\(486\) | −16.4142 | − | 21.5925i | −0.0337741 | − | 0.0444290i | ||||
\(487\) | −17.4289 | + | 16.5095i | −0.0357882 | + | 0.0339004i | −0.705385 | − | 0.708825i | \(-0.749226\pi\) |
0.669596 | + | 0.742725i | \(0.266467\pi\) | |||||||
\(488\) | 29.9336 | + | 552.093i | 0.0613394 | + | 1.13134i | ||||
\(489\) | 353.674 | − | 212.798i | 0.723259 | − | 0.435171i | ||||
\(490\) | 88.8755 | + | 60.2591i | 0.181379 | + | 0.122978i | ||||
\(491\) | 143.387 | − | 516.432i | 0.292030 | − | 1.05180i | −0.661364 | − | 0.750065i | \(-0.730022\pi\) |
0.953393 | − | 0.301730i | \(-0.0975642\pi\) | |||||||
\(492\) | 64.1788 | − | 6.97987i | 0.130445 | − | 0.0141867i | ||||
\(493\) | −277.784 | − | 211.166i | −0.563456 | − | 0.428328i | ||||
\(494\) | −127.724 | − | 59.0912i | −0.258550 | − | 0.119618i | ||||
\(495\) | 114.406 | − | 77.5690i | 0.231123 | − | 0.156705i | ||||
\(496\) | 8.30648 | + | 24.6528i | 0.0167469 | + | 0.0497032i | ||||
\(497\) | 78.6430 | + | 479.701i | 0.158235 | + | 0.965193i | ||||
\(498\) | 30.7604 | − | 187.630i | 0.0617679 | − | 0.376767i | ||||
\(499\) | 336.503 | + | 113.381i | 0.674354 | + | 0.227216i | 0.635584 | − | 0.772032i | \(-0.280759\pi\) |
0.0387703 | + | 0.999248i | \(0.487656\pi\) | |||||||
\(500\) | 35.0601 | + | 126.275i | 0.0701203 | + | 0.252550i | ||||
\(501\) | 131.487 | + | 330.008i | 0.262449 | + | 0.658698i | ||||
\(502\) | 242.155 | − | 96.4836i | 0.482381 | − | 0.192198i | ||||
\(503\) | −475.654 | + | 132.065i | −0.945635 | + | 0.262554i | −0.705922 | − | 0.708290i | \(-0.749467\pi\) |
−0.239713 | + | 0.970844i | \(0.577053\pi\) | |||||||
\(504\) | −47.2715 | + | 140.297i | −0.0937926 | + | 0.278367i | ||||
\(505\) | 50.6541 | + | 8.30433i | 0.100305 | + | 0.0164442i | ||||
\(506\) | −15.8017 | + | 2.59055i | −0.0312286 | + | 0.00511967i | ||||
\(507\) | −244.810 | + | 82.4862i | −0.482861 | + | 0.162695i | ||||
\(508\) | −86.2424 | − | 127.198i | −0.169769 | − | 0.250390i | ||||
\(509\) | 369.970 | − | 799.677i | 0.726857 | − | 1.57108i | −0.0911302 | − | 0.995839i | \(-0.529048\pi\) |
0.817987 | − | 0.575236i | \(-0.195090\pi\) | |||||||
\(510\) | −130.859 | + | 172.142i | −0.256586 | + | 0.337533i | ||||
\(511\) | 9.93204 | + | 91.3236i | 0.0194365 | + | 0.178716i | ||||
\(512\) | 535.604 | + | 148.710i | 1.04610 | + | 0.290448i | ||||
\(513\) | −52.9356 | + | 78.0742i | −0.103188 | + | 0.152191i | ||||
\(514\) | −109.180 | − | 181.459i | −0.212412 | − | 0.353032i | ||||
\(515\) | 524.354 | − | 28.4297i | 1.01816 | − | 0.0552032i | ||||
\(516\) | −8.10309 | − | 8.55433i | −0.0157037 | − | 0.0165782i | ||||
\(517\) | −387.547 | + | 294.605i | −0.749607 | + | 0.569836i | ||||
\(518\) | −107.187 | + | 23.5936i | −0.206924 | + | 0.0455475i | ||||
\(519\) | 232.480 | − | 197.470i | 0.447938 | − | 0.380482i | ||||
\(520\) | 7.82119 | − | 144.253i | 0.0150407 | − | 0.277410i | ||||
\(521\) | −470.327 | − | 887.130i | −0.902738 | − | 1.70274i | −0.687502 | − | 0.726183i | \(-0.741293\pi\) |
−0.215237 | − | 0.976562i | \(-0.569052\pi\) | |||||||
\(522\) | −20.4506 | + | 92.9079i | −0.0391773 | + | 0.177984i | ||||
\(523\) | −577.436 | + | 267.151i | −1.10408 | + | 0.510804i | −0.885324 | − | 0.464974i | \(-0.846064\pi\) |
−0.218761 | + | 0.975779i | \(0.570201\pi\) | |||||||
\(524\) | −98.0881 | + | 163.024i | −0.187191 | + | 0.311114i | ||||
\(525\) | −50.6969 | + | 95.6245i | −0.0965656 | + | 0.182142i | ||||
\(526\) | −226.024 | − | 191.986i | −0.429703 | − | 0.364993i | ||||
\(527\) | 30.6816 | − | 32.3902i | 0.0582194 | − | 0.0614615i | ||||
\(528\) | 25.7029 | − | 236.334i | 0.0486797 | − | 0.447602i | ||||
\(529\) | −195.596 | + | 490.908i | −0.369746 | + | 0.927993i | ||||
\(530\) | − | 513.506i | − | 0.968879i | ||||||
\(531\) | 95.4886 | + | 149.033i | 0.179828 | + | 0.280665i | ||||
\(532\) | 100.703 | 0.189292 | ||||||||
\(533\) | −158.620 | − | 63.1999i | −0.297598 | − | 0.118574i | ||||
\(534\) | −142.203 | − | 15.4655i | −0.266298 | − | 0.0289617i | ||||
\(535\) | 55.1430 | + | 52.2342i | 0.103071 | + | 0.0976340i | ||||
\(536\) | −625.160 | + | 735.996i | −1.16634 | + | 1.37313i | ||||
\(537\) | −199.641 | − | 105.843i | −0.371771 | − | 0.197101i | ||||
\(538\) | −467.990 | − | 281.580i | −0.869870 | − | 0.523383i | ||||
\(539\) | 85.0101 | + | 183.746i | 0.157718 | + | 0.340902i | ||||
\(540\) | −18.4963 | − | 4.07134i | −0.0342524 | − | 0.00753952i | ||||
\(541\) | 628.642 | − | 333.285i | 1.16200 | − | 0.616054i | 0.228118 | − | 0.973633i | \(-0.426743\pi\) |
0.933883 | + | 0.357580i | \(0.116398\pi\) | |||||||
\(542\) | 203.667 | + | 11.0425i | 0.375769 | + | 0.0203736i | ||||
\(543\) | −233.279 | − | 274.637i | −0.429611 | − | 0.505777i | ||||
\(544\) | −62.4932 | − | 283.909i | −0.114877 | − | 0.521892i | ||||
\(545\) | 165.890 | + | 218.224i | 0.304385 | + | 0.400412i | ||||
\(546\) | 55.6011 | − | 52.6682i | 0.101834 | − | 0.0964619i | ||||
\(547\) | 26.4842 | + | 488.471i | 0.0484171 | + | 0.893001i | 0.917353 | + | 0.398076i | \(0.130322\pi\) |
−0.868936 | + | 0.494925i | \(0.835195\pi\) | |||||||
\(548\) | 145.004 | − | 87.2463i | 0.264607 | − | 0.159209i | ||||
\(549\) | −158.679 | − | 107.587i | −0.289033 | − | 0.195969i | ||||
\(550\) | 62.6977 | − | 225.817i | 0.113996 | − | 0.410576i | ||||
\(551\) | 328.908 | − | 35.7709i | 0.596929 | − | 0.0649199i | ||||
\(552\) | 8.93018 | + | 6.78855i | 0.0161779 | + | 0.0122981i | ||||
\(553\) | 328.776 | + | 152.108i | 0.594531 | + | 0.275059i | ||||
\(554\) | 114.856 | − | 77.8740i | 0.207320 | − | 0.140567i | ||||
\(555\) | −22.9210 | − | 68.0270i | −0.0412990 | − | 0.122571i | ||||
\(556\) | 23.4966 | + | 143.323i | 0.0422600 | + | 0.257775i | ||||
\(557\) | −89.8071 | + | 547.799i | −0.161234 | + | 0.983481i | 0.774963 | + | 0.632006i | \(0.217768\pi\) |
−0.936197 | + | 0.351475i | \(0.885680\pi\) | |||||||
\(558\) | −11.5269 | − | 3.88387i | −0.0206575 | − | 0.00696033i | ||||
\(559\) | 8.33738 | + | 30.0285i | 0.0149148 | + | 0.0537183i | ||||
\(560\) | −88.3251 | − | 221.679i | −0.157723 | − | 0.395856i | ||||
\(561\) | −378.746 | + | 150.906i | −0.675127 | + | 0.268995i | ||||
\(562\) | 149.653 | − | 41.5509i | 0.266286 | − | 0.0739340i | ||||
\(563\) | 63.2120 | − | 187.606i | 0.112277 | − | 0.333226i | −0.876753 | − | 0.480941i | \(-0.840295\pi\) |
0.989030 | + | 0.147715i | \(0.0471917\pi\) | |||||||
\(564\) | 65.8232 | + | 10.7912i | 0.116708 | + | 0.0191333i | ||||
\(565\) | 155.907 | − | 25.5596i | 0.275941 | − | 0.0452383i | ||||
\(566\) | −892.298 | + | 300.650i | −1.57650 | + | 0.531184i | ||||
\(567\) | −28.8077 | − | 42.4882i | −0.0508073 | − | 0.0749351i | ||||
\(568\) | −309.616 | + | 669.225i | −0.545099 | + | 1.17821i | ||||
\(569\) | 507.258 | − | 667.287i | 0.891491 | − | 1.17274i | −0.0927121 | − | 0.995693i | \(-0.529554\pi\) |
0.984203 | − | 0.177043i | \(-0.0566533\pi\) | |||||||
\(570\) | −22.1671 | − | 203.823i | −0.0388896 | − | 0.357584i | ||||
\(571\) | −580.408 | − | 161.150i | −1.01648 | − | 0.282223i | −0.280952 | − | 0.959722i | \(-0.590650\pi\) |
−0.735524 | + | 0.677498i | \(0.763064\pi\) | |||||||
\(572\) | 29.8976 | − | 44.0956i | 0.0522685 | − | 0.0770902i | ||||
\(573\) | −299.696 | − | 498.099i | −0.523030 | − | 0.869283i | ||||
\(574\) | −379.766 | + | 20.5903i | −0.661614 | + | 0.0358716i | ||||
\(575\) | 5.63967 | + | 5.95373i | 0.00980812 | + | 0.0103543i | ||||
\(576\) | −169.745 | + | 129.036i | −0.294695 | + | 0.224022i | ||||
\(577\) | 417.353 | − | 91.8664i | 0.723316 | − | 0.159214i | 0.161970 | − | 0.986796i | \(-0.448215\pi\) |
0.561345 | + | 0.827582i | \(0.310284\pi\) | |||||||
\(578\) | 102.858 | − | 87.3684i | 0.177955 | − | 0.151156i | ||||
\(579\) | 28.4040 | − | 523.881i | 0.0490570 | − | 0.904804i | ||||
\(580\) | 31.1151 | + | 58.6892i | 0.0536467 | + | 0.101188i | ||||
\(581\) | 77.3575 | − | 351.439i | 0.133145 | − | 0.604886i | ||||
\(582\) | −21.8134 | + | 10.0919i | −0.0374800 | + | 0.0173401i | ||||
\(583\) | 499.161 | − | 829.611i | 0.856193 | − | 1.42300i | ||||
\(584\) | −65.2711 | + | 123.114i | −0.111765 | + | 0.210812i | ||||
\(585\) | 38.1780 | + | 32.4287i | 0.0652616 | + | 0.0554337i | ||||
\(586\) | −408.026 | + | 430.748i | −0.696291 | + | 0.735065i | ||||
\(587\) | −28.5576 | + | 262.583i | −0.0486501 | + | 0.447330i | 0.944326 | + | 0.329012i | \(0.106716\pi\) |
−0.992976 | + | 0.118318i | \(0.962250\pi\) | |||||||
\(588\) | 10.2678 | − | 25.7702i | 0.0174623 | − | 0.0438270i | ||||
\(589\) | 42.3023i | 0.0718205i | ||||||||
\(590\) | −367.892 | − | 112.523i | −0.623546 | − | 0.190717i | ||||
\(591\) | 145.591 | 0.246347 | ||||||||
\(592\) | −114.693 | − | 45.6977i | −0.193738 | − | 0.0771921i | ||||
\(593\) | 38.7671 | + | 4.21618i | 0.0653746 | + | 0.00710992i | 0.140748 | − | 0.990045i | \(-0.455049\pi\) |
−0.0753733 | + | 0.997155i | \(0.524015\pi\) | |||||||
\(594\) | 80.6976 | + | 76.4408i | 0.135854 | + | 0.128688i | ||||
\(595\) | −264.940 | + | 311.912i | −0.445277 | + | 0.524221i | ||||
\(596\) | 102.501 | + | 54.3427i | 0.171982 | + | 0.0911790i | ||||
\(597\) | −530.501 | − | 319.192i | −0.888611 | − | 0.534659i | ||||
\(598\) | −2.43659 | − | 5.26660i | −0.00407457 | − | 0.00880703i | ||||
\(599\) | −351.347 | − | 77.3373i | −0.586556 | − | 0.129111i | −0.0882293 | − | 0.996100i | \(-0.528121\pi\) |
−0.498326 | + | 0.866990i | \(0.666052\pi\) | |||||||
\(600\) | −145.054 | + | 76.9026i | −0.241756 | + | 0.128171i | ||||
\(601\) | 869.313 | + | 47.1328i | 1.44644 | + | 0.0784239i | 0.760551 | − | 0.649278i | \(-0.224929\pi\) |
0.685893 | + | 0.727702i | \(0.259412\pi\) | |||||||
\(602\) | 44.9391 | + | 52.9064i | 0.0746496 | + | 0.0878843i | ||||
\(603\) | −71.9797 | − | 327.007i | −0.119369 | − | 0.542300i | ||||
\(604\) | −91.5397 | − | 120.418i | −0.151556 | − | 0.199368i | ||||
\(605\) | −82.0380 | + | 77.7105i | −0.135600 | + | 0.128447i | ||||
\(606\) | 2.23475 | + | 41.2176i | 0.00368771 | + | 0.0680158i | ||||
\(607\) | 185.689 | − | 111.725i | 0.305912 | − | 0.184061i | −0.354317 | − | 0.935125i | \(-0.615287\pi\) |
0.660229 | + | 0.751064i | \(0.270459\pi\) | |||||||
\(608\) | 228.142 | + | 154.684i | 0.375233 | + | 0.254414i | ||||
\(609\) | −48.1680 | + | 173.485i | −0.0790935 | + | 0.284869i | ||||
\(610\) | 414.253 | − | 45.0527i | 0.679103 | − | 0.0738569i | ||||
\(611\) | −140.446 | − | 106.764i | −0.229863 | − | 0.174737i | ||||
\(612\) | 50.6995 | + | 23.4561i | 0.0828424 | + | 0.0383270i | ||||
\(613\) | −10.5196 | + | 7.13245i | −0.0171608 | + | 0.0116353i | −0.569737 | − | 0.821827i | \(-0.692955\pi\) |
0.552577 | + | 0.833462i | \(0.313645\pi\) | |||||||
\(614\) | −269.211 | − | 798.989i | −0.438454 | − | 1.30128i | ||||
\(615\) | −40.2439 | − | 245.477i | −0.0654373 | − | 0.399150i | ||||
\(616\) | 98.1557 | − | 598.723i | 0.159344 | − | 0.971953i | ||||
\(617\) | −668.775 | − | 225.337i | −1.08391 | − | 0.365213i | −0.280025 | − | 0.959993i | \(-0.590343\pi\) |
−0.803889 | + | 0.594779i | \(0.797239\pi\) | |||||||
\(618\) | 112.974 | + | 406.895i | 0.182806 | + | 0.658406i | ||||
\(619\) | 396.317 | + | 994.680i | 0.640253 | + | 1.60691i | 0.786446 | + | 0.617659i | \(0.211919\pi\) |
−0.146193 | + | 0.989256i | \(0.546702\pi\) | |||||||
\(620\) | −7.89019 | + | 3.14374i | −0.0127261 | + | 0.00507054i | ||||
\(621\) | −3.74778 | + | 1.04057i | −0.00603507 | + | 0.00167563i | ||||
\(622\) | 251.512 | − | 746.462i | 0.404361 | − | 1.20010i | ||||
\(623\) | −267.157 | − | 43.7981i | −0.428823 | − | 0.0703019i | ||||
\(624\) | 85.0170 | − | 13.9378i | 0.136245 | − | 0.0223363i | ||||
\(625\) | 218.987 | − | 73.7853i | 0.350379 | − | 0.118056i | ||||
\(626\) | 73.9199 | + | 109.024i | 0.118083 | + | 0.174159i | ||||
\(627\) | 162.316 | − | 350.841i | 0.258878 | − | 0.559555i | ||||
\(628\) | −89.2840 | + | 117.451i | −0.142172 | + | 0.187024i | ||||
\(629\) | 22.8927 | + | 210.495i | 0.0363954 | + | 0.334650i | ||||
\(630\) | 107.508 | + | 29.8495i | 0.170648 | + | 0.0473802i | ||||
\(631\) | 134.072 | − | 197.742i | 0.212476 | − | 0.313378i | −0.706485 | − | 0.707728i | \(-0.749720\pi\) |
0.918960 | + | 0.394350i | \(0.129030\pi\) | |||||||
\(632\) | 283.303 | + | 470.852i | 0.448264 | + | 0.745020i | ||||
\(633\) | 258.911 | − | 14.0377i | 0.409022 | − | 0.0221765i | ||||
\(634\) | 563.765 | + | 595.159i | 0.889219 | + | 0.938737i | ||||
\(635\) | −471.414 | + | 358.360i | −0.742384 | + | 0.564346i | ||||
\(636\) | −129.560 | + | 28.5183i | −0.203710 | + | 0.0448400i | ||||
\(637\) | −55.9202 | + | 47.4990i | −0.0877868 | + | 0.0745668i | ||||
\(638\) | 21.1068 | − | 389.293i | 0.0330828 | − | 0.610177i | ||||
\(639\) | −119.761 | − | 225.894i | −0.187420 | − | 0.353512i | ||||
\(640\) | 50.6976 | − | 230.322i | 0.0792151 | − | 0.359878i | ||||
\(641\) | 115.278 | − | 53.3334i | 0.179841 | − | 0.0832035i | −0.327902 | − | 0.944712i | \(-0.606342\pi\) |
0.507744 | + | 0.861508i | \(0.330480\pi\) | |||||||
\(642\) | −31.4902 | + | 52.3372i | −0.0490502 | + | 0.0815221i | ||||
\(643\) | −357.610 | + | 674.524i | −0.556159 | + | 1.04903i | 0.432891 | + | 0.901446i | \(0.357493\pi\) |
−0.989050 | + | 0.147581i | \(0.952851\pi\) | |||||||
\(644\) | 3.16482 | + | 2.68823i | 0.00491432 | + | 0.00417426i | ||||
\(645\) | −31.2231 | + | 32.9618i | −0.0484079 | + | 0.0511036i | ||||
\(646\) | −65.3839 | + | 601.195i | −0.101214 | + | 0.930643i | ||||
\(647\) | 34.8534 | − | 87.4754i | 0.0538692 | − | 0.135202i | −0.899579 | − | 0.436758i | \(-0.856127\pi\) |
0.953448 | + | 0.301556i | \(0.0975061\pi\) | |||||||
\(648\) | − | 77.8683i | − | 0.120167i | ||||||
\(649\) | −484.981 | − | 539.405i | −0.747274 | − | 0.831132i | ||||
\(650\) | 84.9313 | 0.130664 | ||||||||
\(651\) | −21.3860 | − | 8.52097i | −0.0328510 | − | 0.0130890i | ||||
\(652\) | 230.413 | + | 25.0589i | 0.353393 | + | 0.0384339i | ||||
\(653\) | 546.807 | + | 517.963i | 0.837377 | + | 0.793206i | 0.980504 | − | 0.196499i | \(-0.0629572\pi\) |
−0.143127 | + | 0.989704i | \(0.545716\pi\) | |||||||
\(654\) | −142.708 | + | 168.009i | −0.218208 | + | 0.256895i | ||||
\(655\) | 647.709 | + | 343.394i | 0.988869 | + | 0.524265i | ||||
\(656\) | −366.588 | − | 220.568i | −0.558822 | − | 0.336232i | ||||
\(657\) | −20.2877 | − | 43.8512i | −0.0308794 | − | 0.0667446i | ||||
\(658\) | −383.772 | − | 84.4745i | −0.583240 | − | 0.128381i | ||||
\(659\) | −316.264 | + | 167.672i | −0.479915 | + | 0.254435i | −0.690759 | − | 0.723085i | \(-0.742724\pi\) |
0.210844 | + | 0.977520i | \(0.432379\pi\) | |||||||
\(660\) | 77.5012 | + | 4.20199i | 0.117426 | + | 0.00636666i | ||||
\(661\) | −279.719 | − | 329.310i | −0.423175 | − | 0.498200i | 0.508718 | − | 0.860933i | \(-0.330120\pi\) |
−0.931893 | + | 0.362733i | \(0.881844\pi\) | |||||||
\(662\) | −208.748 | − | 948.352i | −0.315329 | − | 1.43256i | ||||
\(663\) | −89.4148 | − | 117.623i | −0.134864 | − | 0.177410i | ||||
\(664\) | 396.293 | − | 375.389i | 0.596827 | − | 0.565345i | ||||
\(665\) | −21.0077 | − | 387.463i | −0.0315905 | − | 0.582652i | ||||
\(666\) | 49.4637 | − | 29.7613i | 0.0742698 | − | 0.0446866i | ||||
\(667\) | 11.2916 | + | 7.65587i | 0.0169289 | + | 0.0114781i | ||||
\(668\) | −53.3647 | + | 192.202i | −0.0798873 | + | 0.287728i | ||||
\(669\) | −688.874 | + | 74.9195i | −1.02971 | + | 0.111987i | ||||
\(670\) | 579.377 | + | 440.431i | 0.864741 | + | 0.657359i | ||||
\(671\) | 713.054 | + | 329.894i | 1.06267 | + | 0.491645i | ||||
\(672\) | −124.156 | + | 84.1795i | −0.184755 | + | 0.125267i | ||||
\(673\) | −235.640 | − | 699.354i | −0.350133 | − | 1.03916i | −0.967584 | − | 0.252549i | \(-0.918731\pi\) |
0.617451 | − | 0.786610i | \(-0.288166\pi\) | |||||||
\(674\) | −88.6476 | − | 540.727i | −0.131525 | − | 0.802265i | ||||
\(675\) | 9.20979 | − | 56.1772i | 0.0136441 | − | 0.0832255i | ||||
\(676\) | −137.466 | − | 46.3176i | −0.203352 | − | 0.0685172i | ||||
\(677\) | 300.528 | + | 1082.41i | 0.443912 | + | 1.59883i | 0.759885 | + | 0.650058i | \(0.225255\pi\) |
−0.315973 | + | 0.948768i | \(0.602331\pi\) | |||||||
\(678\) | 47.0255 | + | 118.025i | 0.0693592 | + | 0.174078i | ||||
\(679\) | −42.2578 | + | 16.8371i | −0.0622354 | + | 0.0247968i | ||||
\(680\) | −598.161 | + | 166.078i | −0.879648 | + | 0.244233i | ||||
\(681\) | −119.226 | + | 353.849i | −0.175074 | + | 0.519603i | ||||
\(682\) | 49.1916 | + | 8.06455i | 0.0721285 | + | 0.0118249i | ||||
\(683\) | −306.712 | + | 50.2830i | −0.449067 | + | 0.0736207i | −0.382072 | − | 0.924133i | \(-0.624789\pi\) |
−0.0669947 | + | 0.997753i | \(0.521341\pi\) | |||||||
\(684\) | −50.1943 | + | 16.9124i | −0.0733835 | + | 0.0247258i | ||||
\(685\) | −365.937 | − | 539.716i | −0.534214 | − | 0.787907i | ||||
\(686\) | −272.807 | + | 589.662i | −0.397678 | + | 0.859566i | ||||
\(687\) | −100.734 | + | 132.514i | −0.146629 | + | 0.192888i | ||||
\(688\) | 8.44264 | + | 77.6288i | 0.0122713 | + | 0.112833i | ||||
\(689\) | 338.085 | + | 93.8689i | 0.490690 | + | 0.136239i | ||||
\(690\) | 4.74431 | − | 6.99734i | 0.00687581 | − | 0.0101411i | ||||
\(691\) | 413.959 | + | 688.006i | 0.599073 | + | 0.995667i | 0.996936 | + | 0.0782219i | \(0.0249243\pi\) |
−0.397863 | + | 0.917445i | \(0.630248\pi\) | |||||||
\(692\) | 171.027 | − | 9.27283i | 0.247149 | − | 0.0134000i | ||||
\(693\) | 144.673 | + | 152.729i | 0.208763 | + | 0.220389i | ||||
\(694\) | −744.670 | + | 566.084i | −1.07301 | + | 0.815682i | ||||
\(695\) | 546.544 | − | 120.303i | 0.786394 | − | 0.173099i | ||||
\(696\) | −208.159 | + | 176.812i | −0.299079 | + | 0.254040i | ||||
\(697\) | −39.7230 | + | 732.648i | −0.0569914 | + | 1.05115i | ||||
\(698\) | −258.658 | − | 487.880i | −0.370570 | − | 0.698969i | ||||
\(699\) | 103.747 | − | 471.329i | 0.148423 | − | 0.674291i | ||||
\(700\) | −55.1575 | + | 25.5186i | −0.0787965 | + | 0.0364551i | ||||
\(701\) | 301.741 | − | 501.497i | 0.430443 | − | 0.715402i | −0.563402 | − | 0.826183i | \(-0.690508\pi\) |
0.993845 | + | 0.110781i | \(0.0353353\pi\) | |||||||
\(702\) | −18.8685 | + | 35.5897i | −0.0268782 | + | 0.0506976i | ||||
\(703\) | −153.012 | − | 129.970i | −0.217656 | − | 0.184879i | ||||
\(704\) | 600.922 | − | 634.385i | 0.853582 | − | 0.901115i | ||||
\(705\) | 27.7885 | − | 255.511i | 0.0394164 | − | 0.362428i | ||||
\(706\) | −84.0012 | + | 210.827i | −0.118982 | + | 0.298622i | ||||
\(707\) | 78.1235i | 0.110500i | ||||||||
\(708\) | −7.95861 | + | 99.0699i | −0.0112410 | + | 0.139929i | ||||
\(709\) | −632.869 | −0.892622 | −0.446311 | − | 0.894878i | \(-0.647262\pi\) | ||||
−0.446311 | + | 0.894878i | \(0.647262\pi\) | |||||||
\(710\) | 516.254 | + | 205.694i | 0.727118 | + | 0.289710i | ||||
\(711\) | −189.420 | − | 20.6007i | −0.266414 | − | 0.0289742i | ||||
\(712\) | −298.139 | − | 282.412i | −0.418734 | − | 0.396646i | ||||
\(713\) | −1.12924 | + | 1.32945i | −0.00158379 | + | 0.00186458i | ||||
\(714\) | −290.765 | − | 154.154i | −0.407234 | − | 0.215902i | ||||
\(715\) | −175.898 | − | 105.835i | −0.246012 | − | 0.148020i | ||||
\(716\) | −53.2767 | − | 115.156i | −0.0744088 | − | 0.160832i | ||||
\(717\) | −266.194 | − | 58.5938i | −0.371261 | − | 0.0817207i | ||||
\(718\) | 159.092 | − | 84.3453i | 0.221577 | − | 0.117473i | ||||
\(719\) | 769.218 | + | 41.7058i | 1.06984 | + | 0.0580053i | 0.580638 | − | 0.814162i | \(-0.302803\pi\) |
0.489207 | + | 0.872168i | \(0.337286\pi\) | |||||||
\(720\) | 81.2543 | + | 95.6600i | 0.112853 | + | 0.132861i | ||||
\(721\) | 171.810 | + | 780.541i | 0.238294 | + | 1.08258i | ||||
\(722\) | 33.1197 | + | 43.5682i | 0.0458722 | + | 0.0603438i | ||||
\(723\) | 269.468 | − | 255.254i | 0.372708 | − | 0.353048i | ||||
\(724\) | −10.9543 | − | 202.041i | −0.0151303 | − | 0.279062i | ||||
\(725\) | −171.086 | + | 102.939i | −0.235981 | + | 0.141985i | ||||
\(726\) | −75.2132 | − | 50.9958i | −0.103599 | − | 0.0702422i | ||||
\(727\) | −222.323 | + | 800.735i | −0.305809 | + | 1.10142i | 0.637756 | + | 0.770238i | \(0.279863\pi\) |
−0.943565 | + | 0.331186i | \(0.892551\pi\) | |||||||
\(728\) | 218.584 | − | 23.7724i | 0.300252 | − | 0.0326544i | ||||
\(729\) | 21.4945 | + | 16.3397i | 0.0294849 | + | 0.0224139i | ||||
\(730\) | 95.3121 | + | 44.0961i | 0.130564 | + | 0.0604056i | ||||
\(731\) | 110.843 | − | 75.1532i | 0.151632 | − | 0.102809i | ||||
\(732\) | −34.3731 | − | 102.016i | −0.0469578 | − | 0.139366i | ||||
\(733\) | −60.8583 | − | 371.219i | −0.0830263 | − | 0.506438i | −0.995299 | − | 0.0968538i | \(-0.969122\pi\) |
0.912272 | − | 0.409584i | \(-0.134326\pi\) | |||||||
\(734\) | 20.0910 | − | 122.550i | 0.0273720 | − | 0.166962i | ||||
\(735\) | −101.295 | − | 34.1303i | −0.137816 | − | 0.0464358i | ||||
\(736\) | 3.04065 | + | 10.9514i | 0.00413132 | + | 0.0148797i | ||||
\(737\) | 507.904 | + | 1274.74i | 0.689151 | + | 1.72964i | ||||
\(738\) | 185.832 | − | 74.0423i | 0.251805 | − | 0.100328i | ||||
\(739\) | −1221.25 | + | 339.078i | −1.65257 | + | 0.458833i | −0.963904 | − | 0.266249i | \(-0.914216\pi\) |
−0.688663 | + | 0.725082i | \(0.741802\pi\) | |||||||
\(740\) | 12.8706 | − | 38.1985i | 0.0173927 | − | 0.0516196i | ||||
\(741\) | 138.246 | + | 22.6643i | 0.186567 | + | 0.0305862i | ||||
\(742\) | 771.247 | − | 126.440i | 1.03942 | − | 0.170404i | ||||
\(743\) | 324.333 | − | 109.280i | 0.436518 | − | 0.147080i | −0.0924587 | − | 0.995717i | \(-0.529473\pi\) |
0.528976 | + | 0.848637i | \(0.322576\pi\) | |||||||
\(744\) | −19.5971 | − | 28.9036i | −0.0263402 | − | 0.0388489i | ||||
\(745\) | 187.705 | − | 405.718i | 0.251953 | − | 0.544588i | ||||
\(746\) | 532.279 | − | 700.201i | 0.713510 | − | 0.938607i | ||||
\(747\) | 20.4639 | + | 188.162i | 0.0273948 | + | 0.251891i | ||||
\(748\) | −220.588 | − | 61.2461i | −0.294904 | − | 0.0818798i | ||||
\(749\) | −64.8741 | + | 95.6822i | −0.0866143 | + | 0.127747i | ||||
\(750\) | 209.358 | + | 347.955i | 0.279144 | + | 0.463940i | ||||
\(751\) | 799.407 | − | 43.3426i | 1.06446 | − | 0.0577132i | 0.486421 | − | 0.873725i | \(-0.338302\pi\) |
0.578036 | + | 0.816011i | \(0.303819\pi\) | |||||||
\(752\) | −303.991 | − | 320.920i | −0.404244 | − | 0.426755i | ||||
\(753\) | −206.575 | + | 157.034i | −0.274336 | + | 0.208545i | ||||
\(754\) | 137.983 | − | 30.3723i | 0.183001 | − | 0.0402816i | ||||
\(755\) | −444.224 | + | 377.327i | −0.588376 | + | 0.499771i | ||||
\(756\) | 1.56054 | − | 28.7825i | 0.00206421 | − | 0.0380721i | ||||
\(757\) | −479.190 | − | 903.847i | −0.633011 | − | 1.19399i | −0.967807 | − | 0.251695i | \(-0.919012\pi\) |
0.334795 | − | 0.942291i | \(-0.391333\pi\) | |||||||
\(758\) | 62.3715 | − | 283.357i | 0.0822843 | − | 0.373821i | ||||
\(759\) | 14.4667 | − | 6.69301i | 0.0190602 | − | 0.00881819i | ||||
\(760\) | 303.460 | − | 504.355i | 0.399290 | − | 0.663624i | ||||
\(761\) | −182.162 | + | 343.595i | −0.239372 | + | 0.451504i | −0.973870 | − | 0.227107i | \(-0.927073\pi\) |
0.734497 | + | 0.678612i | \(0.237418\pi\) | |||||||
\(762\) | −362.938 | − | 308.282i | −0.476296 | − | 0.404569i | ||||
\(763\) | −286.910 | + | 302.887i | −0.376029 | + | 0.396969i | ||||
\(764\) | 35.2919 | − | 324.503i | 0.0461936 | − | 0.424743i | ||||
\(765\) | 79.6729 | − | 199.964i | 0.104148 | − | 0.261391i | ||||
\(766\) | − | 284.319i | − | 0.371174i | ||||||
\(767\) | 141.334 | − | 221.646i | 0.184269 | − | 0.288978i | ||||
\(768\) | −302.764 | −0.394224 | ||||||||
\(769\) | 282.592 | + | 112.595i | 0.367480 | + | 0.146417i | 0.546566 | − | 0.837416i | \(-0.315935\pi\) |
−0.179086 | + | 0.983833i | \(0.557314\pi\) | |||||||
\(770\) | −454.570 | − | 49.4375i | −0.590351 | − | 0.0642046i | ||||
\(771\) | 153.048 | + | 144.975i | 0.198506 | + | 0.188035i | ||||
\(772\) | 190.721 | − | 224.534i | 0.247048 | − | 0.290848i | ||||
\(773\) | 288.081 | + | 152.731i | 0.372679 | + | 0.197582i | 0.644211 | − | 0.764848i | \(-0.277186\pi\) |
−0.271533 | + | 0.962429i | \(0.587531\pi\) | |||||||
\(774\) | −31.2847 | − | 18.8234i | −0.0404195 | − | 0.0243196i | ||||
\(775\) | −10.7196 | − | 23.1700i | −0.0138317 | − | 0.0298968i | ||||
\(776\) | −67.3888 | − | 14.8334i | −0.0868412 | − | 0.0191152i | ||||
\(777\) | 96.5277 | − | 51.1758i | 0.124231 | − | 0.0658633i | ||||
\(778\) | −161.724 | − | 8.76841i | −0.207871 | − | 0.0112704i | ||||
\(779\) | −450.381 | − | 530.230i | −0.578153 | − | 0.680655i | ||||
\(780\) | 6.04659 | + | 27.4699i | 0.00775203 | + | 0.0352178i | ||||
\(781\) | 634.103 | + | 834.148i | 0.811912 | + | 1.06805i | ||||
\(782\) | −18.1035 | + | 17.1485i | −0.0231502 | + | 0.0219291i | ||||
\(783\) | −5.12697 | − | 94.5613i | −0.00654785 | − | 0.120768i | ||||
\(784\) | −157.524 | + | 94.7790i | −0.200923 | + | 0.120892i | ||||
\(785\) | 470.528 | + | 319.026i | 0.599399 | + | 0.406402i | ||||
\(786\) | −157.719 | + | 568.051i | −0.200660 | + | 0.722712i | ||||
\(787\) | 722.704 | − | 78.5988i | 0.918303 | − | 0.0998714i | 0.363255 | − | 0.931690i | \(-0.381665\pi\) |
0.555048 | + | 0.831818i | \(0.312700\pi\) | |||||||
\(788\) | 65.0824 | + | 49.4743i | 0.0825919 | + | 0.0627847i | ||||
\(789\) | 267.925 | + | 123.955i | 0.339576 | + | 0.157105i | ||||
\(790\) | 342.778 | − | 232.409i | 0.433896 | − | 0.294189i | ||||
\(791\) | 76.7773 | + | 227.867i | 0.0970636 | + | 0.288074i | ||||
\(792\) | 51.6271 | + | 314.912i | 0.0651858 | + | 0.397616i | ||||
\(793\) | −46.0634 | + | 280.974i | −0.0580875 | + | 0.354318i | ||||
\(794\) | −145.309 | − | 48.9604i | −0.183009 | − | 0.0616629i | ||||
\(795\) | 136.754 | + | 492.543i | 0.172017 | + | 0.619551i | ||||
\(796\) | −128.679 | − | 322.959i | −0.161657 | − | 0.405727i | ||||
\(797\) | −1321.71 | + | 526.619i | −1.65836 | + | 0.660752i | −0.996076 | − | 0.0885004i | \(-0.971793\pi\) |
−0.662285 | + | 0.749252i | \(0.730413\pi\) | |||||||
\(798\) | 300.669 | − | 83.4803i | 0.376778 | − | 0.104612i | ||||
\(799\) | −242.062 | + | 718.415i | −0.302957 | + | 0.899143i | ||||
\(800\) | −164.156 | − | 26.9121i | −0.205195 | − | 0.0336401i | ||||
\(801\) | 140.517 | − | 23.0366i | 0.175427 | − | 0.0287598i | ||||
\(802\) | 201.893 | − | 68.0256i | 0.251737 | − | 0.0848200i | ||||
\(803\) | 111.120 | + | 163.890i | 0.138382 | + | 0.204098i | ||||
\(804\) | 78.9461 | − | 170.639i | 0.0981917 | − | 0.212238i | ||||
\(805\) | 9.68295 | − | 12.7377i | 0.0120285 | − | 0.0158232i | ||||
\(806\) | 1.95316 | + | 17.9590i | 0.00242328 | + | 0.0222817i | ||||
\(807\) | 523.874 | + | 145.453i | 0.649162 | + | 0.180239i | ||||
\(808\) | −66.5042 | + | 98.0863i | −0.0823071 | + | 0.121394i | ||||
\(809\) | 184.337 | + | 306.370i | 0.227857 | + | 0.378702i | 0.949602 | − | 0.313457i | \(-0.101487\pi\) |
−0.721745 | + | 0.692159i | \(0.756660\pi\) | |||||||
\(810\) | −58.5993 | + | 3.17716i | −0.0723448 | + | 0.00392242i | ||||
\(811\) | −547.755 | − | 578.258i | −0.675407 | − | 0.713019i | 0.294729 | − | 0.955581i | \(-0.404771\pi\) |
−0.970136 | + | 0.242562i | \(0.922012\pi\) | |||||||
\(812\) | −80.4855 | + | 61.1835i | −0.0991200 | + | 0.0753491i | ||||
\(813\) | −198.293 | + | 43.6477i | −0.243903 | + | 0.0536871i | ||||
\(814\) | −180.307 | + | 153.154i | −0.221507 | + | 0.188150i | ||||
\(815\) | 48.3498 | − | 891.759i | 0.0593249 | − | 1.09418i | ||||
\(816\) | −173.408 | − | 327.083i | −0.212510 | − | 0.400837i | ||||
\(817\) | −27.2962 | + | 124.008i | −0.0334103 | + | 0.151785i | ||||
\(818\) | 509.088 | − | 235.529i | 0.622357 | − | 0.287933i | ||||
\(819\) | −39.3050 | + | 65.3255i | −0.0479915 | + | 0.0797625i | ||||
\(820\) | 65.4275 | − | 123.409i | 0.0797896 | − | 0.150499i | ||||
\(821\) | −334.507 | − | 284.133i | −0.407438 | − | 0.346081i | 0.420113 | − | 0.907472i | \(-0.361991\pi\) |
−0.827551 | + | 0.561391i | \(0.810266\pi\) | |||||||
\(822\) | 360.614 | − | 380.696i | 0.438703 | − | 0.463133i | ||||
\(823\) | −171.308 | + | 1575.15i | −0.208151 | + | 1.91392i | 0.165256 | + | 0.986251i | \(0.447155\pi\) |
−0.373407 | + | 0.927668i | \(0.621811\pi\) | |||||||
\(824\) | −448.738 | + | 1126.25i | −0.544585 | + | 1.36681i | ||||
\(825\) | 233.296i | 0.282782i | ||||||||
\(826\) | 78.4156 | − | 580.253i | 0.0949341 | − | 0.702485i | ||||
\(827\) | −255.409 | −0.308838 | −0.154419 | − | 0.988005i | \(-0.549351\pi\) | ||||
−0.154419 | + | 0.988005i | \(0.549351\pi\) | |||||||
\(828\) | −2.02894 | − | 0.808404i | −0.00245041 | − | 0.000976333i | ||||
\(829\) | 1422.07 | + | 154.660i | 1.71541 | + | 0.186562i | 0.912371 | − | 0.409365i | \(-0.134250\pi\) |
0.803039 | + | 0.595927i | \(0.203215\pi\) | |||||||
\(830\) | −298.666 | − | 282.912i | −0.359839 | − | 0.340857i | ||||
\(831\) | −89.4278 | + | 105.283i | −0.107615 | + | 0.126694i | ||||
\(832\) | 279.780 | + | 148.330i | 0.336275 | + | 0.178281i | ||||
\(833\) | 270.153 | + | 162.546i | 0.324314 | + | 0.195133i | ||||
\(834\) | 188.964 | + | 408.440i | 0.226576 | + | 0.489736i | ||||
\(835\) | 750.647 | + | 165.230i | 0.898978 | + | 0.197880i | ||||
\(836\) | 191.781 | − | 101.676i | 0.229403 | − | 0.121622i | ||||
\(837\) | 12.0907 | + | 0.655537i | 0.0144452 | + | 0.000783198i | ||||
\(838\) | −9.33341 | − | 10.9881i | −0.0111377 | − | 0.0131123i | ||||
\(839\) | −14.7645 | − | 67.0756i | −0.0175977 | − | 0.0799471i | 0.967003 | − | 0.254764i | \(-0.0819977\pi\) |
−0.984601 | + | 0.174817i | \(0.944067\pi\) | |||||||
\(840\) | 193.851 | + | 255.007i | 0.230776 | + | 0.303580i | ||||
\(841\) | 369.421 | − | 349.934i | 0.439263 | − | 0.416092i | ||||
\(842\) | 37.7384 | + | 696.044i | 0.0448200 | + | 0.826656i | ||||
\(843\) | −132.478 | + | 79.7093i | −0.157150 | + | 0.0945543i | ||||
\(844\) | 120.509 | + | 81.7073i | 0.142783 | + | 0.0968096i | ||||
\(845\) | −149.534 | + | 538.573i | −0.176964 | + | 0.637365i | ||||
\(846\) | 205.474 | − | 22.3466i | 0.242877 | − | 0.0264144i | ||||
\(847\) | −136.915 | − | 104.080i | −0.161648 | − | 0.122881i | ||||
\(848\) | 797.905 | + | 369.150i | 0.940926 | + | 0.435319i | ||||
\(849\) | 775.804 | − | 526.008i | 0.913785 | − | 0.619562i | ||||
\(850\) | −116.533 | − | 345.858i | −0.137098 | − | 0.406891i | ||||
\(851\) | −1.33927 | − | 8.16918i | −0.00157376 | − | 0.00959951i | ||||
\(852\) | 23.2267 | − | 141.677i | 0.0272614 | − | 0.166287i | ||||
\(853\) | 796.584 | + | 268.400i | 0.933861 | + | 0.314655i | 0.744782 | − | 0.667307i | \(-0.232553\pi\) |
0.189079 | + | 0.981962i | \(0.439450\pi\) | |||||||
\(854\) | 169.667 | + | 611.084i | 0.198673 | + | 0.715555i | ||||
\(855\) | 75.5430 | + | 189.599i | 0.0883544 | + | 0.221753i | ||||
\(856\) | −162.903 | + | 64.9063i | −0.190307 | + | 0.0758252i | ||||
\(857\) | −869.007 | + | 241.279i | −1.01401 | + | 0.281539i | −0.734503 | − | 0.678605i | \(-0.762585\pi\) |
−0.279507 | + | 0.960144i | \(0.590171\pi\) | |||||||
\(858\) | 52.7109 | − | 156.440i | 0.0614346 | − | 0.182331i | ||||
\(859\) | 1047.59 | + | 171.744i | 1.21955 | + | 0.199935i | 0.736974 | − | 0.675921i | \(-0.236254\pi\) |
0.482573 | + | 0.875855i | \(0.339702\pi\) | |||||||
\(860\) | −25.1584 | + | 4.12451i | −0.0292540 | + | 0.00479595i | ||||
\(861\) | 358.779 | − | 120.887i | 0.416701 | − | 0.140403i | ||||
\(862\) | 51.0595 | + | 75.3072i | 0.0592338 | + | 0.0873633i | ||||
\(863\) | 63.1881 | − | 136.579i | 0.0732191 | − | 0.158260i | −0.867510 | − | 0.497420i | \(-0.834281\pi\) |
0.940729 | + | 0.339160i | \(0.110143\pi\) | |||||||
\(864\) | 47.7465 | − | 62.8095i | 0.0552622 | − | 0.0726961i | ||||
\(865\) | −71.3559 | − | 656.107i | −0.0824924 | − | 0.758505i | ||||
\(866\) | 942.532 | + | 261.693i | 1.08837 | + | 0.302185i | ||||
\(867\) | −75.3916 | + | 111.194i | −0.0869568 | + | 0.128252i | ||||
\(868\) | −6.66445 | − | 11.0764i | −0.00767794 | − | 0.0127608i | ||||
\(869\) | 779.703 | − | 42.2743i | 0.897242 | − | 0.0486470i | ||||
\(870\) | 141.552 | + | 149.435i | 0.162703 | + | 0.171764i | ||||
\(871\) | −395.884 | + | 300.943i | −0.454516 | + | 0.345514i | ||||
\(872\) | −618.062 | + | 136.046i | −0.708787 | + | 0.156016i | ||||
\(873\) | 18.2353 | − | 15.4892i | 0.0208880 | − | 0.0177425i | ||||
\(874\) | 1.28003 | − | 23.6088i | 0.00146457 | − | 0.0270124i | ||||
\(875\) | 359.999 | + | 679.031i | 0.411428 | + | 0.776035i | ||||
\(876\) | 5.83234 | − | 26.4966i | 0.00665792 | − | 0.0302472i | ||||
\(877\) | 1035.31 | − | 478.983i | 1.18051 | − | 0.546161i | 0.271297 | − | 0.962496i | \(-0.412548\pi\) |
0.909211 | + | 0.416335i | \(0.136686\pi\) | |||||||
\(878\) | 368.669 | − | 612.732i | 0.419896 | − | 0.697873i | ||||
\(879\) | 276.655 | − | 521.827i | 0.314738 | − | 0.593660i | ||||
\(880\) | −392.028 | − | 332.992i | −0.445487 | − | 0.378400i | ||||
\(881\) | 859.241 | − | 907.089i | 0.975302 | − | 1.02961i | −0.0242510 | − | 0.999706i | \(-0.507720\pi\) |
0.999553 | − | 0.0299075i | \(-0.00952128\pi\) | |||||||
\(882\) | 9.29367 | − | 85.4538i | 0.0105370 | − | 0.0968864i | ||||
\(883\) | −417.676 | + | 1048.29i | −0.473019 | + | 1.18719i | 0.478083 | + | 0.878314i | \(0.341332\pi\) |
−0.951103 | + | 0.308875i | \(0.900048\pi\) | |||||||
\(884\) | − | 82.9648i | − | 0.0938516i | ||||||
\(885\) | 382.840 | + | 9.95447i | 0.432587 | + | 0.0112480i | ||||
\(886\) | −662.234 | −0.747442 | ||||||||
\(887\) | 1059.85 | + | 422.282i | 1.19487 | + | 0.476079i | 0.880876 | − | 0.473347i | \(-0.156954\pi\) |
0.313992 | + | 0.949426i | \(0.398333\pi\) | |||||||
\(888\) | 164.758 | + | 17.9185i | 0.185538 | + | 0.0201785i | ||||
\(889\) | −654.305 | − | 619.791i | −0.736001 | − | 0.697177i | ||||
\(890\) | −200.363 | + | 235.885i | −0.225127 | + | 0.265040i | ||||
\(891\) | −97.7605 | − | 51.8293i | −0.109720 | − | 0.0581698i | ||||
\(892\) | −333.401 | − | 200.601i | −0.373768 | − | 0.224889i | ||||
\(893\) | −301.818 | − | 652.368i | −0.337982 | − | 0.730536i | ||||
\(894\) | 351.086 | + | 77.2798i | 0.392713 | + | 0.0864428i | ||||
\(895\) | −431.957 | + | 229.009i | −0.482634 | + | 0.255876i | ||||
\(896\) | 358.409 | + | 19.4324i | 0.400010 | + | 0.0216879i | ||||
\(897\) | 3.73969 | + | 4.40270i | 0.00416911 | + | 0.00490825i | ||||
\(898\) | −254.860 | − | 1157.84i | −0.283809 | − | 1.28936i | ||||
\(899\) | −25.7013 | − | 33.8095i | −0.0285888 | − | 0.0376079i | ||||
\(900\) | 23.2070 | − | 21.9828i | 0.0257855 | − | 0.0244253i | ||||
\(901\) | −81.6285 | − | 1505.55i | −0.0905976 | − | 1.67098i | ||||
\(902\) | −702.444 | + | 422.647i | −0.778763 | + | 0.468566i | ||||
\(903\) | −57.1942 | − | 38.7787i | −0.0633380 | − | 0.0429442i | ||||
\(904\) | −97.5800 | + | 351.452i | −0.107943 | + | 0.388774i | ||||
\(905\) | −775.084 | + | 84.2955i | −0.856447 | + | 0.0931442i | ||||
\(906\) | −373.133 | − | 283.648i | −0.411847 | − | 0.313078i | ||||
\(907\) | −1378.83 | − | 637.914i | −1.52021 | − | 0.703323i | −0.530668 | − | 0.847580i | \(-0.678059\pi\) |
−0.989540 | + | 0.144257i | \(0.953921\pi\) | |||||||
\(908\) | −173.541 | + | 117.663i | −0.191124 | + | 0.129585i | ||||
\(909\) | −13.1203 | − | 38.9398i | −0.0144338 | − | 0.0428381i | ||||
\(910\) | −26.8084 | − | 163.524i | −0.0294597 | − | 0.179696i | ||||
\(911\) | 92.9880 | − | 567.202i | 0.102072 | − | 0.622614i | −0.885401 | − | 0.464828i | \(-0.846116\pi\) |
0.987473 | − | 0.157786i | \(-0.0504356\pi\) | |||||||
\(912\) | 332.643 | + | 112.081i | 0.364741 | + | 0.122895i | ||||
\(913\) | −207.512 | − | 747.390i | −0.227286 | − | 0.818609i | ||||
\(914\) | −87.3772 | − | 219.300i | −0.0955987 | − | 0.239935i | ||||
\(915\) | −385.344 | + | 153.535i | −0.421141 | + | 0.167798i | ||||
\(916\) | −90.0609 | + | 25.0053i | −0.0983198 | + | 0.0272984i | ||||
\(917\) | −356.267 | + | 1057.36i | −0.388514 | + | 1.15307i | ||||
\(918\) | 170.818 | + | 28.0042i | 0.186076 | + | 0.0305056i | ||||
\(919\) | −760.932 | + | 124.748i | −0.828000 | + | 0.135744i | −0.560856 | − | 0.827913i | \(-0.689528\pi\) |
−0.267143 | + | 0.963657i | \(0.586080\pi\) | |||||||
\(920\) | 23.0004 | − | 7.74975i | 0.0250005 | − | 0.00842364i | ||||
\(921\) | 471.002 | + | 694.677i | 0.511403 | + | 0.754264i | ||||
\(922\) | −422.320 | + | 912.830i | −0.458048 | + | 0.990054i | ||||
\(923\) | −229.798 | + | 302.294i | −0.248968 | + | 0.327512i | ||||
\(924\) | 12.7719 | + | 117.436i | 0.0138224 | + | 0.127095i | ||||
\(925\) | 116.743 | + | 32.4136i | 0.126209 | + | 0.0350417i | ||||
\(926\) | 108.421 | − | 159.909i | 0.117085 | − | 0.172688i | ||||
\(927\) | −216.724 | − | 360.198i | −0.233790 | − | 0.388563i | ||||
\(928\) | −276.319 | + | 14.9816i | −0.297758 | + | 0.0161440i | ||||
\(929\) | −765.316 | − | 807.934i | −0.823806 | − | 0.869682i | 0.169460 | − | 0.985537i | \(-0.445798\pi\) |
−0.993266 | + | 0.115855i | \(0.963039\pi\) | |||||||
\(930\) | −20.9516 | + | 15.9270i | −0.0225286 | + | 0.0171258i | ||||
\(931\) | −291.952 | + | 64.2635i | −0.313590 | + | 0.0690263i | ||||
\(932\) | 206.543 | − | 175.439i | 0.221613 | − | 0.188240i | ||||
\(933\) | −42.4514 | + | 782.971i | −0.0454999 | + | 0.839197i | ||||
\(934\) | −683.801 | − | 1289.79i | −0.732121 | − | 1.38093i | ||||
\(935\) | −189.632 | + | 861.509i | −0.202815 | + | 0.921399i | ||||
\(936\) | −104.958 | + | 48.5588i | −0.112135 | + | 0.0518791i | ||||
\(937\) | 544.064 | − | 904.241i | 0.580645 | − | 0.965039i | −0.417759 | − | 0.908558i | \(-0.637184\pi\) |
0.998404 | − | 0.0564809i | \(-0.0179880\pi\) | |||||||
\(938\) | −518.835 | + | 978.627i | −0.553129 | + | 1.04331i | ||||
\(939\) | −99.9367 | − | 84.8870i | −0.106429 | − | 0.0904015i | ||||
\(940\) | 99.2493 | − | 104.776i | 0.105584 | − | 0.111464i | ||||
\(941\) | 94.4770 | − | 868.701i | 0.100401 | − | 0.923168i | −0.830283 | − | 0.557342i | \(-0.811821\pi\) |
0.930683 | − | 0.365826i | \(-0.119213\pi\) | |||||||
\(942\) | −169.211 | + | 424.687i | −0.179629 | + | 0.450835i | ||||
\(943\) | − | 28.6864i | − | 0.0304204i | ||||||
\(944\) | 439.313 | − | 490.754i | 0.465374 | − | 0.519866i | ||||
\(945\) | −111.069 | −0.117533 | ||||||||
\(946\) | 139.000 | + | 55.3827i | 0.146935 | + | 0.0585441i | ||||
\(947\) | −1478.19 | − | 160.762i | −1.56091 | − | 0.169760i | −0.713486 | − | 0.700669i | \(-0.752885\pi\) |
−0.847429 | + | 0.530909i | \(0.821850\pi\) | |||||||
\(948\) | −77.6745 | − | 73.5772i | −0.0819351 | − | 0.0776131i | ||||
\(949\) | −46.4553 | + | 54.6914i | −0.0489518 | + | 0.0576306i | ||||
\(950\) | 305.735 | + | 162.090i | 0.321826 | + | 0.170621i | ||||
\(951\) | −699.249 | − | 420.724i | −0.735278 | − | 0.442402i | ||||
\(952\) | −396.722 | − | 857.500i | −0.416724 | − | 0.900735i | ||||
\(953\) | −1687.10 | − | 371.358i | −1.77030 | − | 0.389673i | −0.794316 | − | 0.607505i | \(-0.792171\pi\) |
−0.975986 | + | 0.217832i | \(0.930102\pi\) | |||||||
\(954\) | −363.185 | + | 192.548i | −0.380697 | + | 0.201833i | ||||
\(955\) | −1255.92 | − | 68.0938i | −1.31510 | − | 0.0713024i | ||||
\(956\) | −99.0835 | − | 116.650i | −0.103644 | − | 0.122019i | ||||
\(957\) | 83.4290 | + | 379.022i | 0.0871776 | + | 0.396052i | ||||
\(958\) | −252.624 | − | 332.322i | −0.263700 | − | 0.346891i | ||||
\(959\) | 720.510 | − | 682.503i | 0.751313 | − | 0.711682i | ||||
\(960\) | 24.9765 | + | 460.665i | 0.0260172 | + | 0.479859i | ||||
\(961\) | −818.787 | + | 492.648i | −0.852015 | + | 0.512641i | ||||
\(962\) | −70.9607 | − | 48.1125i | −0.0737637 | − | 0.0500130i | ||||
\(963\) | 16.2666 | − | 58.5869i | 0.0168916 | − | 0.0608379i | ||||
\(964\) | 207.198 | − | 22.5341i | 0.214935 | − | 0.0233756i | ||||
\(965\) | −903.701 | − | 686.975i | −0.936478 | − | 0.711892i | ||||
\(966\) | 11.6777 | + | 5.40266i | 0.0120887 | + | 0.00559282i | ||||
\(967\) | −78.0565 | + | 52.9236i | −0.0807203 | + | 0.0547297i | −0.600880 | − | 0.799340i | \(-0.705183\pi\) |
0.520159 | + | 0.854069i | \(0.325873\pi\) | |||||||
\(968\) | −83.3008 | − | 247.228i | −0.0860545 | − | 0.255401i | ||||
\(969\) | −97.3920 | − | 594.065i | −0.100508 | − | 0.613070i | ||||
\(970\) | −8.41320 | + | 51.3182i | −0.00867340 | + | 0.0529054i | ||||
\(971\) | 97.1247 | + | 32.7251i | 0.100025 | + | 0.0337025i | 0.368869 | − | 0.929481i | \(-0.379745\pi\) |
−0.268844 | + | 0.963184i | \(0.586642\pi\) | |||||||
\(972\) | 4.05601 | + | 14.6084i | 0.00417285 | + | 0.0150292i | ||||
\(973\) | 315.262 | + | 791.247i | 0.324010 | + | 0.813203i | ||||
\(974\) | −38.8040 | + | 15.4609i | −0.0398398 | + | 0.0158736i | ||||
\(975\) | −81.4641 | + | 22.6184i | −0.0835529 | + | 0.0231984i | ||||
\(976\) | −227.794 | + | 676.070i | −0.233396 | + | 0.692695i | ||||
\(977\) | 730.809 | + | 119.810i | 0.748014 | + | 0.122631i | 0.523719 | − | 0.851891i | \(-0.324544\pi\) |
0.224294 | + | 0.974521i | \(0.427992\pi\) | |||||||
\(978\) | 708.715 | − | 116.188i | 0.724657 | − | 0.118802i | ||||
\(979\) | −552.999 | + | 186.327i | −0.564861 | + | 0.190324i | ||||
\(980\) | −33.6831 | − | 49.6788i | −0.0343705 | − | 0.0506927i | ||||
\(981\) | 92.1392 | − | 199.156i | 0.0939237 | − | 0.203013i | ||||
\(982\) | 564.359 | − | 742.401i | 0.574703 | − | 0.756009i | ||||
\(983\) | −110.666 | − | 1017.56i | −0.112580 | − | 1.03516i | −0.905067 | − | 0.425270i | \(-0.860179\pi\) |
0.792486 | − | 0.609890i | \(-0.208786\pi\) | |||||||
\(984\) | 553.365 | + | 153.641i | 0.562363 | + | 0.156139i | ||||
\(985\) | 176.780 | − | 260.731i | 0.179472 | − | 0.264701i | ||||
\(986\) | −313.007 | − | 520.221i | −0.317451 | − | 0.527608i | ||||
\(987\) | 390.602 | − | 21.1778i | 0.395746 | − | 0.0214567i | ||||
\(988\) | 54.0974 | + | 57.1100i | 0.0547545 | + | 0.0578036i | ||||
\(989\) | −4.16819 | + | 3.16857i | −0.00421455 | + | 0.00320381i | ||||
\(990\) | 234.878 | − | 51.7006i | 0.237251 | − | 0.0522228i | ||||
\(991\) | −1053.79 | + | 895.094i | −1.06336 | + | 0.903223i | −0.995527 | − | 0.0944741i | \(-0.969883\pi\) |
−0.0678288 | + | 0.997697i | \(0.521607\pi\) | |||||||
\(992\) | 1.91555 | − | 35.3303i | 0.00193100 | − | 0.0356152i | ||||
\(993\) | 452.786 | + | 854.044i | 0.455977 | + | 0.860065i | ||||
\(994\) | −181.821 | + | 826.023i | −0.182919 | + | 0.831009i | ||||
\(995\) | −1215.77 | + | 562.474i | −1.22188 | + | 0.565301i | ||||
\(996\) | −54.7930 | + | 91.0667i | −0.0550131 | + | 0.0914324i | ||||
\(997\) | 734.793 | − | 1385.97i | 0.737004 | − | 1.39014i | −0.176909 | − | 0.984227i | \(-0.556610\pi\) |
0.913913 | − | 0.405910i | \(-0.133045\pi\) | |||||||
\(998\) | 470.894 | + | 399.981i | 0.471837 | + | 0.400782i | ||||
\(999\) | −39.5185 | + | 41.7192i | −0.0395581 | + | 0.0417610i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 177.3.g.a.10.14 | ✓ | 560 | |
59.6 | odd | 58 | inner | 177.3.g.a.124.14 | yes | 560 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.3.g.a.10.14 | ✓ | 560 | 1.1 | even | 1 | trivial | |
177.3.g.a.124.14 | yes | 560 | 59.6 | odd | 58 | inner |