Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(16,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 6, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bg (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 16.11 | ||
Character | \(\chi\) | \(=\) | 525.16 |
Dual form | 525.2.bg.b.361.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.340400 | − | 0.151556i | 0.240699 | − | 0.107166i | −0.282842 | − | 0.959166i | \(-0.591277\pi\) |
0.523541 | + | 0.852000i | \(0.324611\pi\) | |||||||
\(3\) | 0.669131 | − | 0.743145i | 0.386323 | − | 0.429055i | ||||
\(4\) | −1.24536 | + | 1.38311i | −0.622679 | + | 0.691555i | ||||
\(5\) | 2.23604 | − | 0.0110432i | 0.999988 | − | 0.00493866i | ||||
\(6\) | 0.115144 | − | 0.354377i | 0.0470074 | − | 0.144674i | ||||
\(7\) | 0.0639980 | + | 2.64498i | 0.0241890 | + | 0.999707i | ||||
\(8\) | −0.444590 | + | 1.36831i | −0.157186 | + | 0.483770i | ||||
\(9\) | −0.104528 | − | 0.994522i | −0.0348428 | − | 0.331507i | ||||
\(10\) | 0.759475 | − | 0.342644i | 0.240167 | − | 0.108354i | ||||
\(11\) | −0.576821 | + | 5.48809i | −0.173918 | + | 1.65472i | 0.464901 | + | 0.885363i | \(0.346090\pi\) |
−0.638819 | + | 0.769357i | \(0.720577\pi\) | |||||||
\(12\) | 0.194544 | + | 1.85096i | 0.0561600 | + | 0.534327i | ||||
\(13\) | −1.82903 | + | 1.32887i | −0.507282 | + | 0.368562i | −0.811791 | − | 0.583947i | \(-0.801507\pi\) |
0.304510 | + | 0.952509i | \(0.401507\pi\) | |||||||
\(14\) | 0.422647 | + | 0.890651i | 0.112957 | + | 0.238037i | ||||
\(15\) | 1.48800 | − | 1.66909i | 0.384199 | − | 0.430958i | ||||
\(16\) | −0.333052 | − | 3.16877i | −0.0832629 | − | 0.792193i | ||||
\(17\) | −3.87856 | + | 0.824414i | −0.940690 | + | 0.199950i | −0.652642 | − | 0.757666i | \(-0.726339\pi\) |
−0.288048 | + | 0.957616i | \(0.593006\pi\) | |||||||
\(18\) | −0.186307 | − | 0.322694i | −0.0439130 | − | 0.0760596i | ||||
\(19\) | −1.39774 | − | 1.55235i | −0.320664 | − | 0.356134i | 0.561164 | − | 0.827705i | \(-0.310354\pi\) |
−0.881828 | + | 0.471571i | \(0.843687\pi\) | |||||||
\(20\) | −2.76940 | + | 3.10644i | −0.619256 | + | 0.694622i | ||||
\(21\) | 2.00842 | + | 1.72228i | 0.438274 | + | 0.375831i | ||||
\(22\) | 0.635402 | + | 1.95557i | 0.135468 | + | 0.416928i | ||||
\(23\) | 7.47359 | − | 3.32746i | 1.55835 | − | 0.693823i | 0.566838 | − | 0.823829i | \(-0.308167\pi\) |
0.991513 | + | 0.130007i | \(0.0415000\pi\) | |||||||
\(24\) | 0.719362 | + | 1.24597i | 0.146839 | + | 0.254333i | ||||
\(25\) | 4.99976 | − | 0.0493860i | 0.999951 | − | 0.00987720i | ||||
\(26\) | −0.421204 | + | 0.729548i | −0.0826050 | + | 0.143076i | ||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | −3.73800 | − | 3.20543i | −0.706415 | − | 0.605769i | ||||
\(29\) | 1.22424 | + | 3.76782i | 0.227335 | + | 0.699666i | 0.998046 | + | 0.0624811i | \(0.0199013\pi\) |
−0.770711 | + | 0.637185i | \(0.780099\pi\) | |||||||
\(30\) | 0.253554 | − | 0.793674i | 0.0462923 | − | 0.144904i | ||||
\(31\) | 2.34110 | − | 0.497617i | 0.420475 | − | 0.0893747i | 0.00718489 | − | 0.999974i | \(-0.497713\pi\) |
0.413290 | + | 0.910600i | \(0.364380\pi\) | |||||||
\(32\) | −2.03234 | − | 3.52012i | −0.359270 | − | 0.622275i | ||||
\(33\) | 3.69247 | + | 4.10091i | 0.642777 | + | 0.713876i | ||||
\(34\) | −1.19532 | + | 0.868450i | −0.204995 | + | 0.148938i | ||||
\(35\) | 0.172311 | + | 5.91357i | 0.0291259 | + | 0.999576i | ||||
\(36\) | 1.50571 | + | 1.09396i | 0.250951 | + | 0.182327i | ||||
\(37\) | −0.130488 | − | 1.24151i | −0.0214521 | − | 0.204103i | 0.978546 | − | 0.206028i | \(-0.0660538\pi\) |
−0.999998 | + | 0.00192528i | \(0.999387\pi\) | |||||||
\(38\) | −0.711060 | − | 0.316584i | −0.115349 | − | 0.0513568i | ||||
\(39\) | −0.236319 | + | 2.24842i | −0.0378413 | + | 0.360036i | ||||
\(40\) | −0.979011 | + | 3.06450i | −0.154795 | + | 0.484540i | ||||
\(41\) | 0.653250 | − | 0.474614i | 0.102021 | − | 0.0741223i | −0.535605 | − | 0.844468i | \(-0.679917\pi\) |
0.637626 | + | 0.770346i | \(0.279917\pi\) | |||||||
\(42\) | 0.944689 | + | 0.281874i | 0.145769 | + | 0.0434941i | ||||
\(43\) | 11.7049 | 1.78497 | 0.892486 | − | 0.451074i | \(-0.148959\pi\) | ||||
0.892486 | + | 0.451074i | \(0.148959\pi\) | |||||||
\(44\) | −6.87228 | − | 7.63244i | −1.03604 | − | 1.15063i | ||||
\(45\) | −0.244713 | − | 2.22264i | −0.0364796 | − | 0.331331i | ||||
\(46\) | 2.03972 | − | 2.26533i | 0.300740 | − | 0.334005i | ||||
\(47\) | −3.31690 | − | 0.705029i | −0.483820 | − | 0.102839i | −0.0404570 | − | 0.999181i | \(-0.512881\pi\) |
−0.443363 | + | 0.896342i | \(0.646215\pi\) | |||||||
\(48\) | −2.57771 | − | 1.87282i | −0.372061 | − | 0.270318i | ||||
\(49\) | −6.99181 | + | 0.338546i | −0.998830 | + | 0.0483638i | ||||
\(50\) | 1.69443 | − | 0.774554i | 0.239629 | − | 0.109538i | ||||
\(51\) | −1.98261 | + | 3.43397i | −0.277620 | + | 0.480853i | ||||
\(52\) | 0.439826 | − | 4.18467i | 0.0609929 | − | 0.580309i | ||||
\(53\) | 2.18890 | − | 2.43102i | 0.300668 | − | 0.333926i | −0.573812 | − | 0.818987i | \(-0.694536\pi\) |
0.874480 | + | 0.485061i | \(0.161203\pi\) | |||||||
\(54\) | −0.364472 | − | 0.0774709i | −0.0495983 | − | 0.0105425i | ||||
\(55\) | −1.22919 | + | 12.2780i | −0.165744 | + | 1.65556i | ||||
\(56\) | −3.64759 | − | 1.08836i | −0.487430 | − | 0.145438i | ||||
\(57\) | −2.08890 | −0.276681 | ||||||||
\(58\) | 0.987766 | + | 1.09703i | 0.129700 | + | 0.144046i | ||||
\(59\) | −3.11336 | − | 1.38616i | −0.405325 | − | 0.180463i | 0.193939 | − | 0.981014i | \(-0.437874\pi\) |
−0.599265 | + | 0.800551i | \(0.704540\pi\) | |||||||
\(60\) | 0.455449 | + | 4.13668i | 0.0587982 | + | 0.534043i | ||||
\(61\) | 6.57412 | − | 2.92699i | 0.841730 | − | 0.374762i | 0.0598621 | − | 0.998207i | \(-0.480934\pi\) |
0.781868 | + | 0.623444i | \(0.214267\pi\) | |||||||
\(62\) | 0.721496 | − | 0.524197i | 0.0916300 | − | 0.0665731i | ||||
\(63\) | 2.62380 | − | 0.340123i | 0.330567 | − | 0.0428514i | ||||
\(64\) | 3.93012 | + | 2.85540i | 0.491265 | + | 0.356925i | ||||
\(65\) | −4.07511 | + | 2.99160i | −0.505455 | + | 0.371063i | ||||
\(66\) | 1.87844 | + | 0.836333i | 0.231219 | + | 0.102946i | ||||
\(67\) | 10.2821 | − | 2.18553i | 1.25616 | − | 0.267004i | 0.468691 | − | 0.883362i | \(-0.344726\pi\) |
0.787466 | + | 0.616358i | \(0.211393\pi\) | |||||||
\(68\) | 3.68994 | − | 6.39117i | 0.447471 | − | 0.775043i | ||||
\(69\) | 2.52803 | − | 7.78046i | 0.304338 | − | 0.936657i | ||||
\(70\) | 0.954891 | + | 1.98687i | 0.114131 | + | 0.237476i | ||||
\(71\) | −2.66818 | − | 8.21180i | −0.316654 | − | 0.974562i | −0.975068 | − | 0.221906i | \(-0.928772\pi\) |
0.658414 | − | 0.752656i | \(-0.271228\pi\) | |||||||
\(72\) | 1.40728 | + | 0.299127i | 0.165850 | + | 0.0352525i | ||||
\(73\) | −0.523158 | + | 4.97751i | −0.0612310 | + | 0.582574i | 0.920292 | + | 0.391231i | \(0.127951\pi\) |
−0.981523 | + | 0.191342i | \(0.938716\pi\) | |||||||
\(74\) | −0.232576 | − | 0.402834i | −0.0270364 | − | 0.0468285i | ||||
\(75\) | 3.30879 | − | 3.74859i | 0.382066 | − | 0.432850i | ||||
\(76\) | 3.88777 | 0.445957 | ||||||||
\(77\) | −14.5528 | − | 1.17445i | −1.65844 | − | 0.133841i | ||||
\(78\) | 0.260319 | + | 0.801179i | 0.0294753 | + | 0.0907156i | ||||
\(79\) | −5.10249 | − | 1.08457i | −0.574075 | − | 0.122023i | −0.0882791 | − | 0.996096i | \(-0.528137\pi\) |
−0.485796 | + | 0.874072i | \(0.661470\pi\) | |||||||
\(80\) | −0.779710 | − | 7.08183i | −0.0871742 | − | 0.791772i | ||||
\(81\) | −0.978148 | + | 0.207912i | −0.108683 | + | 0.0231013i | ||||
\(82\) | 0.150436 | − | 0.260563i | 0.0166129 | − | 0.0287743i | ||||
\(83\) | 2.65544 | − | 8.17259i | 0.291472 | − | 0.897059i | −0.692912 | − | 0.721022i | \(-0.743672\pi\) |
0.984384 | − | 0.176036i | \(-0.0563276\pi\) | |||||||
\(84\) | −4.88330 | + | 0.633022i | −0.532812 | + | 0.0690684i | ||||
\(85\) | −8.66352 | + | 1.88625i | −0.939691 | + | 0.204593i | ||||
\(86\) | 3.98433 | − | 1.77394i | 0.429642 | − | 0.191289i | ||||
\(87\) | 3.61921 | + | 1.61138i | 0.388020 | + | 0.172758i | ||||
\(88\) | −7.25294 | − | 3.22922i | −0.773166 | − | 0.344236i | ||||
\(89\) | −7.79896 | + | 3.47232i | −0.826688 | + | 0.368065i | −0.776065 | − | 0.630653i | \(-0.782787\pi\) |
−0.0506228 | + | 0.998718i | \(0.516121\pi\) | |||||||
\(90\) | −0.420154 | − | 0.719498i | −0.0442881 | − | 0.0758418i | ||||
\(91\) | −3.63188 | − | 4.75270i | −0.380725 | − | 0.498218i | ||||
\(92\) | −4.70506 | + | 14.4807i | −0.490536 | + | 1.50971i | ||||
\(93\) | 1.19670 | − | 2.07275i | 0.124092 | − | 0.214934i | ||||
\(94\) | −1.23593 | + | 0.262704i | −0.127476 | + | 0.0270959i | ||||
\(95\) | −3.14255 | − | 3.45569i | −0.322419 | − | 0.354546i | ||||
\(96\) | −3.97586 | − | 0.845095i | −0.405784 | − | 0.0862521i | ||||
\(97\) | −3.97989 | − | 12.2488i | −0.404097 | − | 1.24368i | −0.921647 | − | 0.388029i | \(-0.873156\pi\) |
0.517551 | − | 0.855653i | \(-0.326844\pi\) | |||||||
\(98\) | −2.32870 | + | 1.17489i | −0.235235 | + | 0.118682i | ||||
\(99\) | 5.51832 | 0.554612 | ||||||||
\(100\) | −6.15818 | + | 6.97672i | −0.615818 | + | 0.697672i | ||||
\(101\) | −8.56693 | − | 14.8384i | −0.852441 | − | 1.47647i | −0.878999 | − | 0.476824i | \(-0.841788\pi\) |
0.0265580 | − | 0.999647i | \(-0.491545\pi\) | |||||||
\(102\) | −0.154440 | + | 1.46940i | −0.0152919 | + | 0.145492i | ||||
\(103\) | 10.9410 | + | 2.32559i | 1.07805 | + | 0.229147i | 0.712520 | − | 0.701652i | \(-0.247554\pi\) |
0.365531 | + | 0.930799i | \(0.380887\pi\) | |||||||
\(104\) | −1.00513 | − | 3.09348i | −0.0985613 | − | 0.303340i | ||||
\(105\) | 4.50994 | + | 3.82890i | 0.440125 | + | 0.373662i | ||||
\(106\) | 0.376666 | − | 1.15926i | 0.0365850 | − | 0.112597i | ||||
\(107\) | −7.91943 | + | 13.7168i | −0.765600 | + | 1.32606i | 0.174329 | + | 0.984687i | \(0.444224\pi\) |
−0.939929 | + | 0.341370i | \(0.889109\pi\) | |||||||
\(108\) | 1.82049 | − | 0.386957i | 0.175177 | − | 0.0372349i | ||||
\(109\) | 9.21803 | + | 4.10413i | 0.882927 | + | 0.393104i | 0.797556 | − | 0.603245i | \(-0.206126\pi\) |
0.0853710 | + | 0.996349i | \(0.472792\pi\) | |||||||
\(110\) | 1.44238 | + | 4.36571i | 0.137526 | + | 0.416254i | ||||
\(111\) | −1.00993 | − | 0.733760i | −0.0958587 | − | 0.0696454i | ||||
\(112\) | 8.36002 | − | 1.08371i | 0.789948 | − | 0.102401i | ||||
\(113\) | −10.5747 | + | 7.68297i | −0.994784 | + | 0.722753i | −0.960964 | − | 0.276675i | \(-0.910767\pi\) |
−0.0338203 | + | 0.999428i | \(0.510767\pi\) | |||||||
\(114\) | −0.711060 | + | 0.316584i | −0.0665969 | + | 0.0296509i | ||||
\(115\) | 16.6745 | − | 7.52286i | 1.55491 | − | 0.701510i | ||||
\(116\) | −6.73592 | − | 2.99903i | −0.625415 | − | 0.278453i | ||||
\(117\) | 1.51277 | + | 1.68011i | 0.139856 | + | 0.155326i | ||||
\(118\) | −1.26987 | −0.116901 | ||||||||
\(119\) | −2.42878 | − | 10.2059i | −0.222646 | − | 0.935578i | ||||
\(120\) | 1.62228 | + | 2.77810i | 0.148093 | + | 0.253604i | ||||
\(121\) | −19.0267 | − | 4.04426i | −1.72970 | − | 0.367660i | ||||
\(122\) | 1.79423 | − | 1.99269i | 0.162442 | − | 0.180410i | ||||
\(123\) | 0.0844028 | − | 0.803039i | 0.00761034 | − | 0.0724075i | ||||
\(124\) | −2.22725 | + | 3.85772i | −0.200013 | + | 0.346433i | ||||
\(125\) | 11.1791 | − | 0.165642i | 0.999890 | − | 0.0148155i | ||||
\(126\) | 0.841594 | − | 0.513430i | 0.0749751 | − | 0.0457400i | ||||
\(127\) | 1.05563 | + | 0.766957i | 0.0936716 | + | 0.0680564i | 0.633635 | − | 0.773632i | \(-0.281562\pi\) |
−0.539964 | + | 0.841688i | \(0.681562\pi\) | |||||||
\(128\) | 9.72228 | + | 2.06654i | 0.859337 | + | 0.182658i | ||||
\(129\) | 7.83207 | − | 8.69840i | 0.689576 | − | 0.765851i | ||||
\(130\) | −0.933774 | + | 1.63595i | −0.0818974 | + | 0.143482i | ||||
\(131\) | 1.92157 | + | 2.13412i | 0.167889 | + | 0.186459i | 0.821218 | − | 0.570615i | \(-0.193295\pi\) |
−0.653329 | + | 0.757074i | \(0.726628\pi\) | |||||||
\(132\) | −10.2705 | −0.893929 | ||||||||
\(133\) | 4.01648 | − | 3.79635i | 0.348273 | − | 0.329185i | ||||
\(134\) | 3.16880 | − | 2.30226i | 0.273742 | − | 0.198885i | ||||
\(135\) | −1.81549 | − | 1.30538i | −0.156252 | − | 0.112349i | ||||
\(136\) | 0.596318 | − | 5.67359i | 0.0511339 | − | 0.486506i | ||||
\(137\) | 10.3929 | + | 4.62723i | 0.887927 | + | 0.395331i | 0.799440 | − | 0.600746i | \(-0.205130\pi\) |
0.0884879 | + | 0.996077i | \(0.471797\pi\) | |||||||
\(138\) | −0.318635 | − | 3.03161i | −0.0271240 | − | 0.258068i | ||||
\(139\) | −3.63542 | − | 2.64128i | −0.308352 | − | 0.224031i | 0.422837 | − | 0.906206i | \(-0.361034\pi\) |
−0.731189 | + | 0.682175i | \(0.761034\pi\) | |||||||
\(140\) | −8.39371 | − | 7.12619i | −0.709398 | − | 0.602273i | ||||
\(141\) | −2.74338 | + | 1.99318i | −0.231034 | + | 0.167856i | ||||
\(142\) | −2.15279 | − | 2.39092i | −0.180659 | − | 0.200642i | ||||
\(143\) | −6.23792 | − | 10.8044i | −0.521641 | − | 0.903509i | ||||
\(144\) | −3.11660 | + | 0.662454i | −0.259717 | + | 0.0552045i | ||||
\(145\) | 2.77906 | + | 8.41147i | 0.230788 | + | 0.698535i | ||||
\(146\) | 0.576289 | + | 1.77363i | 0.0476940 | + | 0.146787i | ||||
\(147\) | −4.42684 | + | 5.42246i | −0.365120 | + | 0.447237i | ||||
\(148\) | 1.87965 | + | 1.36564i | 0.154506 | + | 0.112255i | ||||
\(149\) | −4.86044 | + | 8.41853i | −0.398183 | + | 0.689673i | −0.993502 | − | 0.113817i | \(-0.963692\pi\) |
0.595319 | + | 0.803490i | \(0.297026\pi\) | |||||||
\(150\) | 0.558192 | − | 1.77749i | 0.0455762 | − | 0.145131i | ||||
\(151\) | −8.93346 | − | 15.4732i | −0.726994 | − | 1.25919i | −0.958148 | − | 0.286274i | \(-0.907583\pi\) |
0.231153 | − | 0.972917i | \(-0.425750\pi\) | |||||||
\(152\) | 2.74552 | − | 1.22238i | 0.222691 | − | 0.0991483i | ||||
\(153\) | 1.22532 | + | 3.77114i | 0.0990611 | + | 0.304879i | ||||
\(154\) | −5.13176 | + | 1.80578i | −0.413529 | + | 0.145514i | ||||
\(155\) | 5.22931 | − | 1.13855i | 0.420028 | − | 0.0914502i | ||||
\(156\) | −2.81551 | − | 3.12694i | −0.225421 | − | 0.250356i | ||||
\(157\) | 10.0320 | + | 17.3760i | 0.800642 | + | 1.38675i | 0.919194 | + | 0.393805i | \(0.128842\pi\) |
−0.118552 | + | 0.992948i | \(0.537825\pi\) | |||||||
\(158\) | −1.90126 | + | 0.404125i | −0.151256 | + | 0.0321505i | ||||
\(159\) | −0.341939 | − | 3.25333i | −0.0271175 | − | 0.258006i | ||||
\(160\) | −4.58327 | − | 7.84868i | −0.362339 | − | 0.620493i | ||||
\(161\) | 9.27934 | + | 19.5545i | 0.731314 | + | 1.54111i | ||||
\(162\) | −0.301451 | + | 0.219017i | −0.0236843 | + | 0.0172076i | ||||
\(163\) | −1.27415 | − | 12.1227i | −0.0997988 | − | 0.949523i | −0.923785 | − | 0.382912i | \(-0.874921\pi\) |
0.823986 | − | 0.566610i | \(-0.191746\pi\) | |||||||
\(164\) | −0.157087 | + | 1.49458i | −0.0122664 | + | 0.116707i | ||||
\(165\) | 8.30181 | + | 9.12902i | 0.646295 | + | 0.710693i | ||||
\(166\) | −0.334694 | − | 3.18440i | −0.0259773 | − | 0.247157i | ||||
\(167\) | −2.18313 | + | 6.71897i | −0.168935 | + | 0.519930i | −0.999305 | − | 0.0372837i | \(-0.988129\pi\) |
0.830369 | + | 0.557213i | \(0.188129\pi\) | |||||||
\(168\) | −3.24953 | + | 1.98243i | −0.250706 | + | 0.152948i | ||||
\(169\) | −2.43776 | + | 7.50265i | −0.187520 | + | 0.577127i | ||||
\(170\) | −2.66319 | + | 1.95509i | −0.204257 | + | 0.149949i | ||||
\(171\) | −1.39774 | + | 1.55235i | −0.106888 | + | 0.118711i | ||||
\(172\) | −14.5767 | + | 16.1891i | −1.11147 | + | 1.23441i | ||||
\(173\) | −15.8817 | + | 7.07097i | −1.20746 | + | 0.537596i | −0.908988 | − | 0.416822i | \(-0.863144\pi\) |
−0.298472 | + | 0.954418i | \(0.596477\pi\) | |||||||
\(174\) | 1.47619 | 0.111910 | ||||||||
\(175\) | 0.450599 | + | 13.2211i | 0.0340621 | + | 0.999420i | ||||
\(176\) | 17.5826 | 1.32534 | ||||||||
\(177\) | −3.11336 | + | 1.38616i | −0.234015 | + | 0.104190i | ||||
\(178\) | −2.12852 | + | 2.36396i | −0.159539 | + | 0.177186i | ||||
\(179\) | 13.7442 | − | 15.2645i | 1.02729 | − | 1.14092i | 0.0373703 | − | 0.999301i | \(-0.488102\pi\) |
0.989921 | − | 0.141621i | \(-0.0452314\pi\) | |||||||
\(180\) | 3.37891 | + | 2.42951i | 0.251849 | + | 0.181085i | ||||
\(181\) | 4.00044 | − | 12.3121i | 0.297350 | − | 0.915151i | −0.685071 | − | 0.728476i | \(-0.740229\pi\) |
0.982422 | − | 0.186675i | \(-0.0597710\pi\) | |||||||
\(182\) | −1.95659 | − | 1.06739i | −0.145032 | − | 0.0791200i | ||||
\(183\) | 2.22377 | − | 6.84406i | 0.164386 | − | 0.505927i | ||||
\(184\) | 1.23030 | + | 11.7055i | 0.0906989 | + | 0.862942i | ||||
\(185\) | −0.305486 | − | 2.77462i | −0.0224598 | − | 0.203994i | ||||
\(186\) | 0.0932203 | − | 0.886932i | 0.00683525 | − | 0.0650330i | ||||
\(187\) | −2.28722 | − | 21.7614i | −0.167258 | − | 1.59135i | ||||
\(188\) | 5.10586 | − | 3.70963i | 0.372383 | − | 0.270552i | ||||
\(189\) | 1.50290 | − | 2.17745i | 0.109320 | − | 0.158386i | ||||
\(190\) | −1.59346 | − | 0.700043i | −0.115601 | − | 0.0507865i | ||||
\(191\) | −0.800940 | − | 7.62044i | −0.0579540 | − | 0.551395i | −0.984521 | − | 0.175266i | \(-0.943921\pi\) |
0.926567 | − | 0.376129i | \(-0.122745\pi\) | |||||||
\(192\) | 4.75174 | − | 1.01001i | 0.342927 | − | 0.0728915i | ||||
\(193\) | −0.379998 | − | 0.658175i | −0.0273528 | − | 0.0473765i | 0.852025 | − | 0.523501i | \(-0.175374\pi\) |
−0.879378 | + | 0.476125i | \(0.842041\pi\) | |||||||
\(194\) | −3.21114 | − | 3.56633i | −0.230546 | − | 0.256048i | ||||
\(195\) | −0.503588 | + | 5.03017i | −0.0360627 | + | 0.360218i | ||||
\(196\) | 8.23906 | − | 10.0921i | 0.588504 | − | 0.720861i | ||||
\(197\) | 0.660132 | + | 2.03168i | 0.0470325 | + | 0.144751i | 0.971815 | − | 0.235745i | \(-0.0757531\pi\) |
−0.924782 | + | 0.380496i | \(0.875753\pi\) | |||||||
\(198\) | 1.87844 | − | 0.836333i | 0.133495 | − | 0.0594356i | ||||
\(199\) | −13.3114 | − | 23.0561i | −0.943623 | − | 1.63440i | −0.758486 | − | 0.651690i | \(-0.774060\pi\) |
−0.185137 | − | 0.982713i | \(-0.559273\pi\) | |||||||
\(200\) | −2.15527 | + | 6.86316i | −0.152400 | + | 0.485299i | ||||
\(201\) | 5.25590 | − | 9.10348i | 0.370722 | − | 0.642110i | ||||
\(202\) | −5.16502 | − | 3.75261i | −0.363410 | − | 0.264033i | ||||
\(203\) | −9.88744 | + | 3.47921i | −0.693962 | + | 0.244193i | ||||
\(204\) | −2.28051 | − | 7.01869i | −0.159668 | − | 0.491407i | ||||
\(205\) | 1.45545 | − | 1.06847i | 0.101653 | − | 0.0746252i | ||||
\(206\) | 4.07678 | − | 0.866547i | 0.284043 | − | 0.0603752i | ||||
\(207\) | −4.09043 | − | 7.08483i | −0.284305 | − | 0.492430i | ||||
\(208\) | 4.82004 | + | 5.35320i | 0.334210 | + | 0.371178i | ||||
\(209\) | 9.32569 | − | 6.77551i | 0.645071 | − | 0.468672i | ||||
\(210\) | 2.11548 | + | 0.619850i | 0.145982 | + | 0.0427737i | ||||
\(211\) | 2.32709 | + | 1.69073i | 0.160204 | + | 0.116395i | 0.664999 | − | 0.746844i | \(-0.268432\pi\) |
−0.504795 | + | 0.863239i | \(0.668432\pi\) | |||||||
\(212\) | 0.636403 | + | 6.05497i | 0.0437083 | + | 0.415857i | ||||
\(213\) | −7.88792 | − | 3.51193i | −0.540471 | − | 0.240633i | ||||
\(214\) | −0.616904 | + | 5.86945i | −0.0421707 | + | 0.401228i | ||||
\(215\) | 26.1725 | − | 0.129259i | 1.78495 | − | 0.00881537i | ||||
\(216\) | 1.16395 | − | 0.845660i | 0.0791969 | − | 0.0575399i | ||||
\(217\) | 1.46601 | + | 6.16032i | 0.0995194 | + | 0.418190i | ||||
\(218\) | 3.75982 | 0.254647 | ||||||||
\(219\) | 3.34895 | + | 3.71939i | 0.226301 | + | 0.251333i | ||||
\(220\) | −15.4510 | − | 16.9906i | −1.04170 | − | 1.14550i | ||||
\(221\) | 5.99847 | − | 6.66198i | 0.403501 | − | 0.448133i | ||||
\(222\) | −0.454988 | − | 0.0967106i | −0.0305368 | − | 0.00649079i | ||||
\(223\) | 21.7206 | + | 15.7809i | 1.45452 | + | 1.05677i | 0.984749 | + | 0.173979i | \(0.0556626\pi\) |
0.469768 | + | 0.882790i | \(0.344337\pi\) | |||||||
\(224\) | 9.18056 | − | 5.60077i | 0.613402 | − | 0.374218i | ||||
\(225\) | −0.571732 | − | 4.96720i | −0.0381155 | − | 0.331147i | ||||
\(226\) | −2.43523 | + | 4.21794i | −0.161989 | + | 0.280573i | ||||
\(227\) | −0.406508 | + | 3.86767i | −0.0269809 | + | 0.256706i | 0.972714 | + | 0.232007i | \(0.0745293\pi\) |
−0.999695 | + | 0.0246987i | \(0.992137\pi\) | |||||||
\(228\) | 2.60142 | − | 2.88917i | 0.172283 | − | 0.191340i | ||||
\(229\) | −2.91731 | − | 0.620094i | −0.192781 | − | 0.0409770i | 0.110509 | − | 0.993875i | \(-0.464752\pi\) |
−0.303290 | + | 0.952898i | \(0.598085\pi\) | |||||||
\(230\) | 4.53587 | − | 5.08790i | 0.299086 | − | 0.335486i | ||||
\(231\) | −10.6105 | + | 10.0290i | −0.698119 | + | 0.659857i | ||||
\(232\) | −5.69982 | −0.374211 | ||||||||
\(233\) | 15.5092 | + | 17.2247i | 1.01604 | + | 1.12843i | 0.991680 | + | 0.128724i | \(0.0410883\pi\) |
0.0243604 | + | 0.999703i | \(0.492245\pi\) | |||||||
\(234\) | 0.769579 | + | 0.342639i | 0.0503089 | + | 0.0223990i | ||||
\(235\) | −7.42451 | − | 1.53984i | −0.484322 | − | 0.100448i | ||||
\(236\) | 5.79446 | − | 2.57986i | 0.377187 | − | 0.167935i | ||||
\(237\) | −4.22022 | + | 3.06617i | −0.274133 | + | 0.199169i | ||||
\(238\) | −2.37353 | − | 3.10601i | −0.153853 | − | 0.201333i | ||||
\(239\) | 3.37878 | + | 2.45483i | 0.218555 | + | 0.158790i | 0.691676 | − | 0.722208i | \(-0.256873\pi\) |
−0.473121 | + | 0.880998i | \(0.656873\pi\) | |||||||
\(240\) | −5.78455 | − | 4.15923i | −0.373391 | − | 0.268477i | ||||
\(241\) | 20.2007 | + | 8.99393i | 1.30124 | + | 0.579350i | 0.936143 | − | 0.351619i | \(-0.114369\pi\) |
0.365099 | + | 0.930969i | \(0.381035\pi\) | |||||||
\(242\) | −7.08964 | + | 1.50695i | −0.455739 | + | 0.0968703i | ||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −4.13879 | + | 12.7379i | −0.264959 | + | 0.815459i | ||||
\(245\) | −15.6302 | + | 0.834215i | −0.998579 | + | 0.0532961i | ||||
\(246\) | −0.0929745 | − | 0.286146i | −0.00592784 | − | 0.0182440i | ||||
\(247\) | 4.61939 | + | 0.981881i | 0.293925 | + | 0.0624756i | ||||
\(248\) | −0.359938 | + | 3.42459i | −0.0228561 | + | 0.217461i | ||||
\(249\) | −4.29659 | − | 7.44191i | −0.272285 | − | 0.471612i | ||||
\(250\) | 3.78027 | − | 1.75065i | 0.239085 | − | 0.110721i | ||||
\(251\) | −18.6010 | −1.17409 | −0.587043 | − | 0.809556i | \(-0.699708\pi\) | ||||
−0.587043 | + | 0.809556i | \(0.699708\pi\) | |||||||
\(252\) | −2.79714 | + | 4.05258i | −0.176203 | + | 0.255288i | ||||
\(253\) | 13.9504 | + | 42.9350i | 0.877057 | + | 2.69930i | ||||
\(254\) | 0.475572 | + | 0.101086i | 0.0298400 | + | 0.00634270i | ||||
\(255\) | −4.39527 | + | 7.70040i | −0.275242 | + | 0.482218i | ||||
\(256\) | −5.88082 | + | 1.25001i | −0.367551 | + | 0.0781254i | ||||
\(257\) | 9.36861 | − | 16.2269i | 0.584398 | − | 1.01221i | −0.410553 | − | 0.911837i | \(-0.634664\pi\) |
0.994950 | − | 0.100369i | \(-0.0320025\pi\) | |||||||
\(258\) | 1.34775 | − | 4.14793i | 0.0839070 | − | 0.258239i | ||||
\(259\) | 3.27541 | − | 0.424591i | 0.203524 | − | 0.0263828i | ||||
\(260\) | 0.937258 | − | 9.36195i | 0.0581262 | − | 0.580603i | ||||
\(261\) | 3.61921 | − | 1.61138i | 0.224023 | − | 0.0997417i | ||||
\(262\) | 0.977543 | + | 0.435230i | 0.0603928 | + | 0.0268886i | ||||
\(263\) | 1.07504 | + | 0.478638i | 0.0662898 | + | 0.0295141i | 0.439614 | − | 0.898187i | \(-0.355115\pi\) |
−0.373324 | + | 0.927701i | \(0.621782\pi\) | |||||||
\(264\) | −7.25294 | + | 3.22922i | −0.446387 | + | 0.198745i | ||||
\(265\) | 4.86761 | − | 5.46002i | 0.299015 | − | 0.335406i | ||||
\(266\) | 0.791852 | − | 1.90100i | 0.0485516 | − | 0.116558i | ||||
\(267\) | −2.63809 | + | 8.11919i | −0.161448 | + | 0.496886i | ||||
\(268\) | −9.78206 | + | 16.9430i | −0.597534 | + | 1.03496i | ||||
\(269\) | −13.5784 | + | 2.88618i | −0.827890 | + | 0.175974i | −0.602321 | − | 0.798254i | \(-0.705757\pi\) |
−0.225569 | + | 0.974227i | \(0.572424\pi\) | |||||||
\(270\) | −0.815830 | − | 0.169203i | −0.0496498 | − | 0.0102974i | ||||
\(271\) | 7.74399 | + | 1.64604i | 0.470414 | + | 0.0999896i | 0.437018 | − | 0.899453i | \(-0.356034\pi\) |
0.0333958 | + | 0.999442i | \(0.489368\pi\) | |||||||
\(272\) | 3.90414 | + | 12.0157i | 0.236723 | + | 0.728560i | ||||
\(273\) | −5.96215 | − | 0.481163i | −0.360846 | − | 0.0291213i | ||||
\(274\) | 4.23904 | 0.256090 | ||||||||
\(275\) | −2.61293 | + | 27.4676i | −0.157566 | + | 1.65636i | ||||
\(276\) | 7.61294 | + | 13.1860i | 0.458245 | + | 0.793704i | ||||
\(277\) | −0.506495 | + | 4.81898i | −0.0304323 | + | 0.289544i | 0.968712 | + | 0.248187i | \(0.0798348\pi\) |
−0.999144 | + | 0.0413572i | \(0.986832\pi\) | |||||||
\(278\) | −1.63780 | − | 0.348125i | −0.0982286 | − | 0.0208791i | ||||
\(279\) | −0.739603 | − | 2.27626i | −0.0442789 | − | 0.136276i | ||||
\(280\) | −8.16819 | − | 2.39334i | −0.488143 | − | 0.143029i | ||||
\(281\) | −6.00138 | + | 18.4704i | −0.358012 | + | 1.10185i | 0.596230 | + | 0.802814i | \(0.296665\pi\) |
−0.954242 | + | 0.299035i | \(0.903335\pi\) | |||||||
\(282\) | −0.631768 | + | 1.09425i | −0.0376213 | + | 0.0651619i | ||||
\(283\) | 23.2172 | − | 4.93496i | 1.38012 | − | 0.293353i | 0.542705 | − | 0.839924i | \(-0.317400\pi\) |
0.837413 | + | 0.546571i | \(0.184067\pi\) | |||||||
\(284\) | 14.6807 | + | 6.53625i | 0.871137 | + | 0.387855i | ||||
\(285\) | −4.67085 | + | 0.0230680i | −0.276678 | + | 0.00136643i | ||||
\(286\) | −3.76086 | − | 2.73242i | −0.222384 | − | 0.161572i | ||||
\(287\) | 1.29715 | + | 1.69746i | 0.0765684 | + | 0.100198i | ||||
\(288\) | −3.28840 | + | 2.38916i | −0.193771 | + | 0.140783i | ||||
\(289\) | −1.16668 | + | 0.519441i | −0.0686284 | + | 0.0305553i | ||||
\(290\) | 2.22080 | + | 2.44209i | 0.130410 | + | 0.143404i | ||||
\(291\) | −11.7657 | − | 5.23844i | −0.689719 | − | 0.307083i | ||||
\(292\) | −6.23293 | − | 6.92237i | −0.364755 | − | 0.405101i | ||||
\(293\) | −10.7932 | −0.630548 | −0.315274 | − | 0.949001i | \(-0.602096\pi\) | ||||
−0.315274 | + | 0.949001i | \(0.602096\pi\) | |||||||
\(294\) | −0.685093 | + | 2.51672i | −0.0399554 | + | 0.146778i | ||||
\(295\) | −6.97692 | − | 3.06513i | −0.406212 | − | 0.178459i | ||||
\(296\) | 1.75678 | + | 0.373415i | 0.102111 | + | 0.0217043i | ||||
\(297\) | 3.69247 | − | 4.10091i | 0.214259 | − | 0.237959i | ||||
\(298\) | −0.378617 | + | 3.60230i | −0.0219327 | + | 0.208676i | ||||
\(299\) | −9.24767 | + | 16.0174i | −0.534807 | + | 0.926312i | ||||
\(300\) | 1.06408 | + | 9.24476i | 0.0614349 | + | 0.533746i | ||||
\(301\) | 0.749087 | + | 30.9591i | 0.0431766 | + | 1.78445i | ||||
\(302\) | −5.38601 | − | 3.91316i | −0.309930 | − | 0.225177i | ||||
\(303\) | −16.7594 | − | 3.56233i | −0.962804 | − | 0.204650i | ||||
\(304\) | −4.45353 | + | 4.94615i | −0.255427 | + | 0.283681i | ||||
\(305\) | 14.6677 | − | 6.61746i | 0.839869 | − | 0.378915i | ||||
\(306\) | 0.988637 | + | 1.09799i | 0.0565166 | + | 0.0627681i | ||||
\(307\) | 4.19409 | 0.239369 | 0.119685 | − | 0.992812i | \(-0.461812\pi\) | ||||
0.119685 | + | 0.992812i | \(0.461812\pi\) | |||||||
\(308\) | 19.7478 | − | 18.6655i | 1.12524 | − | 1.06356i | ||||
\(309\) | 9.04922 | − | 6.57464i | 0.514792 | − | 0.374018i | ||||
\(310\) | 1.60750 | − | 1.18009i | 0.0913001 | − | 0.0670248i | ||||
\(311\) | −2.94032 | + | 27.9753i | −0.166731 | + | 1.58633i | 0.516601 | + | 0.856226i | \(0.327197\pi\) |
−0.683331 | + | 0.730108i | \(0.739470\pi\) | |||||||
\(312\) | −2.97147 | − | 1.32298i | −0.168226 | − | 0.0748991i | ||||
\(313\) | −1.59119 | − | 15.1392i | −0.0899395 | − | 0.855717i | −0.942751 | − | 0.333498i | \(-0.891771\pi\) |
0.852811 | − | 0.522219i | \(-0.174896\pi\) | |||||||
\(314\) | 6.04833 | + | 4.39437i | 0.341327 | + | 0.247989i | ||||
\(315\) | 5.86316 | − | 0.789503i | 0.330352 | − | 0.0444835i | ||||
\(316\) | 7.85450 | − | 5.70663i | 0.441850 | − | 0.321023i | ||||
\(317\) | −6.34241 | − | 7.04396i | −0.356225 | − | 0.395628i | 0.538221 | − | 0.842804i | \(-0.319097\pi\) |
−0.894446 | + | 0.447175i | \(0.852430\pi\) | |||||||
\(318\) | −0.609458 | − | 1.05561i | −0.0341767 | − | 0.0591958i | ||||
\(319\) | −21.3843 | + | 4.54537i | −1.19729 | + | 0.254492i | ||||
\(320\) | 8.81944 | + | 6.34139i | 0.493022 | + | 0.354494i | ||||
\(321\) | 4.89447 | + | 15.0636i | 0.273183 | + | 0.840771i | ||||
\(322\) | 6.12229 | + | 5.25002i | 0.341182 | + | 0.292572i | ||||
\(323\) | 6.70102 | + | 4.86857i | 0.372855 | + | 0.270895i | ||||
\(324\) | 0.930579 | − | 1.61181i | 0.0516988 | − | 0.0895450i | ||||
\(325\) | −9.07908 | + | 6.73435i | −0.503617 | + | 0.373554i | ||||
\(326\) | −2.27099 | − | 3.93346i | −0.125778 | − | 0.217854i | ||||
\(327\) | 9.21803 | − | 4.10413i | 0.509758 | − | 0.226959i | ||||
\(328\) | 0.358989 | + | 1.10486i | 0.0198219 | + | 0.0610055i | ||||
\(329\) | 1.65251 | − | 8.81825i | 0.0911059 | − | 0.486166i | ||||
\(330\) | 4.20949 | + | 1.84933i | 0.231725 | + | 0.101802i | ||||
\(331\) | −16.0788 | − | 17.8573i | −0.883769 | − | 0.981525i | 0.116163 | − | 0.993230i | \(-0.462941\pi\) |
−0.999931 | + | 0.0117055i | \(0.996274\pi\) | |||||||
\(332\) | 7.99663 | + | 13.8506i | 0.438872 | + | 0.760149i | ||||
\(333\) | −1.22107 | + | 0.259546i | −0.0669141 | + | 0.0142230i | ||||
\(334\) | 0.275163 | + | 2.61801i | 0.0150563 | + | 0.143251i | ||||
\(335\) | 22.9670 | − | 5.00047i | 1.25482 | − | 0.273205i | ||||
\(336\) | 4.78859 | − | 6.93785i | 0.261239 | − | 0.378491i | ||||
\(337\) | 7.10952 | − | 5.16537i | 0.387280 | − | 0.281376i | −0.377060 | − | 0.926189i | \(-0.623065\pi\) |
0.764340 | + | 0.644813i | \(0.223065\pi\) | |||||||
\(338\) | 0.307258 | + | 2.92336i | 0.0167126 | + | 0.159010i | ||||
\(339\) | −1.36630 | + | 12.9994i | −0.0742070 | + | 0.706033i | ||||
\(340\) | 8.18029 | − | 14.3317i | 0.443638 | − | 0.777244i | ||||
\(341\) | 1.38057 | + | 13.1352i | 0.0747619 | + | 0.711312i | ||||
\(342\) | −0.240524 | + | 0.740257i | −0.0130061 | + | 0.0400285i | ||||
\(343\) | −1.34291 | − | 18.4715i | −0.0725103 | − | 0.997368i | ||||
\(344\) | −5.20386 | + | 16.0158i | −0.280573 | + | 0.863516i | ||||
\(345\) | 5.56685 | − | 17.4253i | 0.299709 | − | 0.938149i | ||||
\(346\) | −4.33447 | + | 4.81392i | −0.233023 | + | 0.258798i | ||||
\(347\) | 9.57989 | − | 10.6395i | 0.514276 | − | 0.571161i | −0.428944 | − | 0.903331i | \(-0.641114\pi\) |
0.943219 | + | 0.332170i | \(0.107781\pi\) | |||||||
\(348\) | −6.73592 | + | 2.99903i | −0.361083 | + | 0.160765i | ||||
\(349\) | −8.08042 | −0.432535 | −0.216268 | − | 0.976334i | \(-0.569388\pi\) | ||||
−0.216268 | + | 0.976334i | \(0.569388\pi\) | |||||||
\(350\) | 2.15712 | + | 4.43217i | 0.115303 | + | 0.236909i | ||||
\(351\) | 2.26081 | 0.120673 | ||||||||
\(352\) | 20.4910 | − | 9.12318i | 1.09217 | − | 0.486267i | ||||
\(353\) | 14.4609 | − | 16.0605i | 0.769677 | − | 0.854813i | −0.223099 | − | 0.974796i | \(-0.571617\pi\) |
0.992776 | + | 0.119983i | \(0.0382840\pi\) | |||||||
\(354\) | −0.849709 | + | 0.943698i | −0.0451615 | + | 0.0501570i | ||||
\(355\) | −6.05683 | − | 18.3325i | −0.321463 | − | 0.972986i | ||||
\(356\) | 4.90990 | − | 15.1111i | 0.260224 | − | 0.800887i | ||||
\(357\) | −9.20967 | − | 5.02418i | −0.487427 | − | 0.265908i | ||||
\(358\) | 2.36511 | − | 7.27906i | 0.125000 | − | 0.384710i | ||||
\(359\) | 0.592253 | + | 5.63491i | 0.0312579 | + | 0.297399i | 0.998971 | + | 0.0453461i | \(0.0144391\pi\) |
−0.967713 | + | 0.252053i | \(0.918894\pi\) | |||||||
\(360\) | 3.15005 | + | 0.653320i | 0.166022 | + | 0.0344330i | ||||
\(361\) | 1.52993 | − | 14.5563i | 0.0805228 | − | 0.766123i | ||||
\(362\) | −0.504220 | − | 4.79733i | −0.0265012 | − | 0.252142i | ||||
\(363\) | −15.7368 | + | 11.4335i | −0.825970 | + | 0.600102i | ||||
\(364\) | 11.0965 | + | 0.895520i | 0.581615 | + | 0.0469380i | ||||
\(365\) | −1.11483 | + | 11.1357i | −0.0583531 | + | 0.582869i | ||||
\(366\) | −0.280286 | − | 2.66674i | −0.0146508 | − | 0.139393i | ||||
\(367\) | 26.1613 | − | 5.56076i | 1.36561 | − | 0.290269i | 0.533932 | − | 0.845527i | \(-0.320714\pi\) |
0.831678 | + | 0.555258i | \(0.187380\pi\) | |||||||
\(368\) | −13.0330 | − | 22.5739i | −0.679394 | − | 1.17675i | ||||
\(369\) | −0.540297 | − | 0.600061i | −0.0281268 | − | 0.0312379i | ||||
\(370\) | −0.524498 | − | 0.898184i | −0.0272674 | − | 0.0466944i | ||||
\(371\) | 6.57007 | + | 5.63400i | 0.341101 | + | 0.292503i | ||||
\(372\) | 1.37652 | + | 4.23649i | 0.0713692 | + | 0.219652i | ||||
\(373\) | −1.72829 | + | 0.769485i | −0.0894876 | + | 0.0398424i | −0.450992 | − | 0.892528i | \(-0.648930\pi\) |
0.361505 | + | 0.932370i | \(0.382263\pi\) | |||||||
\(374\) | −4.07664 | − | 7.06095i | −0.210798 | − | 0.365113i | ||||
\(375\) | 7.35719 | − | 8.41854i | 0.379924 | − | 0.434731i | ||||
\(376\) | 2.43936 | − | 4.22509i | 0.125800 | − | 0.217892i | ||||
\(377\) | −7.24610 | − | 5.26460i | −0.373193 | − | 0.271141i | ||||
\(378\) | 0.181583 | − | 0.968978i | 0.00933964 | − | 0.0498388i | ||||
\(379\) | 10.2843 | + | 31.6518i | 0.528269 | + | 1.62584i | 0.757760 | + | 0.652533i | \(0.226294\pi\) |
−0.229491 | + | 0.973311i | \(0.573706\pi\) | |||||||
\(380\) | 8.69320 | − | 0.0429333i | 0.445952 | − | 0.00220243i | ||||
\(381\) | 1.27631 | − | 0.271288i | 0.0653874 | − | 0.0138985i | ||||
\(382\) | −1.42756 | − | 2.47261i | −0.0730405 | − | 0.126510i | ||||
\(383\) | −8.99176 | − | 9.98636i | −0.459457 | − | 0.510279i | 0.468246 | − | 0.883598i | \(-0.344886\pi\) |
−0.927703 | + | 0.373319i | \(0.878220\pi\) | |||||||
\(384\) | 8.04121 | − | 5.84228i | 0.410351 | − | 0.298138i | ||||
\(385\) | −32.5536 | − | 2.46541i | −1.65908 | − | 0.125649i | ||||
\(386\) | −0.229102 | − | 0.166452i | −0.0116610 | − | 0.00847219i | ||||
\(387\) | −1.22349 | − | 11.6407i | −0.0621935 | − | 0.591732i | ||||
\(388\) | 21.8979 | + | 9.74957i | 1.11170 | + | 0.494959i | ||||
\(389\) | −2.67590 | + | 25.4595i | −0.135674 | + | 1.29085i | 0.688801 | + | 0.724950i | \(0.258137\pi\) |
−0.824475 | + | 0.565898i | \(0.808529\pi\) | |||||||
\(390\) | 0.590931 | + | 1.78859i | 0.0299229 | + | 0.0905689i | ||||
\(391\) | −26.2436 | + | 19.0671i | −1.32719 | + | 0.964263i | ||||
\(392\) | 2.64525 | − | 9.71746i | 0.133605 | − | 0.490806i | ||||
\(393\) | 2.87175 | 0.144860 | ||||||||
\(394\) | 0.532622 | + | 0.591536i | 0.0268331 | + | 0.0298012i | ||||
\(395\) | −11.4213 | − | 2.36879i | −0.574670 | − | 0.119187i | ||||
\(396\) | −6.87228 | + | 7.63244i | −0.345345 | + | 0.383544i | ||||
\(397\) | −4.15178 | − | 0.882489i | −0.208372 | − | 0.0442908i | 0.102543 | − | 0.994729i | \(-0.467302\pi\) |
−0.310915 | + | 0.950438i | \(0.600635\pi\) | |||||||
\(398\) | −8.02550 | − | 5.83087i | −0.402282 | − | 0.292275i | ||||
\(399\) | −0.133685 | − | 5.52508i | −0.00669263 | − | 0.276600i | ||||
\(400\) | −1.82167 | − | 15.8266i | −0.0910835 | − | 0.791332i | ||||
\(401\) | −4.86485 | + | 8.42616i | −0.242939 | + | 0.420782i | −0.961550 | − | 0.274630i | \(-0.911445\pi\) |
0.718611 | + | 0.695412i | \(0.244778\pi\) | |||||||
\(402\) | 0.409422 | − | 3.89539i | 0.0204201 | − | 0.194284i | ||||
\(403\) | −3.62068 | + | 4.02118i | −0.180359 | + | 0.200309i | ||||
\(404\) | 31.1920 | + | 6.63006i | 1.55186 | + | 0.329858i | ||||
\(405\) | −2.18488 | + | 0.475701i | −0.108568 | + | 0.0236378i | ||||
\(406\) | −2.83839 | + | 2.68283i | −0.140867 | + | 0.133146i | ||||
\(407\) | 6.88878 | 0.341464 | ||||||||
\(408\) | −3.81728 | − | 4.23952i | −0.188984 | − | 0.209888i | ||||
\(409\) | −31.1087 | − | 13.8505i | −1.53823 | − | 0.684864i | −0.549626 | − | 0.835411i | \(-0.685230\pi\) |
−0.988603 | + | 0.150547i | \(0.951896\pi\) | |||||||
\(410\) | 0.333504 | − | 0.584290i | 0.0164706 | − | 0.0288560i | ||||
\(411\) | 10.3929 | − | 4.62723i | 0.512645 | − | 0.228244i | ||||
\(412\) | −16.8420 | + | 12.2365i | −0.829747 | + | 0.602847i | ||||
\(413\) | 3.46711 | − | 8.32349i | 0.170605 | − | 0.409572i | ||||
\(414\) | −2.46613 | − | 1.79175i | −0.121204 | − | 0.0880597i | ||||
\(415\) | 5.84741 | − | 18.3036i | 0.287038 | − | 0.898487i | ||||
\(416\) | 8.39499 | + | 3.73769i | 0.411598 | + | 0.183255i | ||||
\(417\) | −4.39542 | + | 0.934276i | −0.215245 | + | 0.0457517i | ||||
\(418\) | 2.14760 | − | 3.71975i | 0.105042 | − | 0.181939i | ||||
\(419\) | 10.8783 | − | 33.4801i | 0.531442 | − | 1.63561i | −0.219773 | − | 0.975551i | \(-0.570532\pi\) |
0.751215 | − | 0.660058i | \(-0.229468\pi\) | |||||||
\(420\) | −10.9123 | + | 1.46939i | −0.532465 | + | 0.0716989i | ||||
\(421\) | −12.3426 | − | 37.9866i | −0.601541 | − | 1.85135i | −0.519016 | − | 0.854765i | \(-0.673701\pi\) |
−0.0825257 | − | 0.996589i | \(-0.526299\pi\) | |||||||
\(422\) | 1.04838 | + | 0.222841i | 0.0510344 | + | 0.0108477i | ||||
\(423\) | −0.354456 | + | 3.37243i | −0.0172343 | + | 0.163973i | ||||
\(424\) | 2.35321 | + | 4.07589i | 0.114282 | + | 0.197943i | ||||
\(425\) | −19.3512 | + | 4.31342i | −0.938669 | + | 0.209231i | ||||
\(426\) | −3.21730 | −0.155879 | ||||||||
\(427\) | 8.16254 | + | 17.2011i | 0.395013 | + | 0.832418i | ||||
\(428\) | −9.10939 | − | 28.0358i | −0.440319 | − | 1.35516i | ||||
\(429\) | −12.2032 | − | 2.59387i | −0.589177 | − | 0.125233i | ||||
\(430\) | 8.88954 | − | 4.01060i | 0.428692 | − | 0.193408i | ||||
\(431\) | 30.9654 | − | 6.58190i | 1.49155 | − | 0.317039i | 0.611244 | − | 0.791442i | \(-0.290669\pi\) |
0.880308 | + | 0.474403i | \(0.157336\pi\) | |||||||
\(432\) | −1.59311 | + | 2.75935i | −0.0766487 | + | 0.132759i | ||||
\(433\) | −0.984236 | + | 3.02917i | −0.0472994 | + | 0.145572i | −0.971917 | − | 0.235324i | \(-0.924385\pi\) |
0.924618 | + | 0.380897i | \(0.124385\pi\) | |||||||
\(434\) | 1.43266 | + | 1.87479i | 0.0687701 | + | 0.0899929i | ||||
\(435\) | 8.11049 | + | 3.56313i | 0.388868 | + | 0.170839i | ||||
\(436\) | −17.1562 | + | 7.63844i | −0.821634 | + | 0.365815i | ||||
\(437\) | −15.6115 | − | 6.95071i | −0.746801 | − | 0.332497i | ||||
\(438\) | 1.70368 | + | 0.758527i | 0.0814049 | + | 0.0362438i | ||||
\(439\) | −21.6769 | + | 9.65118i | −1.03458 | + | 0.460626i | −0.852538 | − | 0.522665i | \(-0.824938\pi\) |
−0.182044 | + | 0.983290i | \(0.558271\pi\) | |||||||
\(440\) | −16.2535 | − | 7.14056i | −0.774856 | − | 0.340413i | ||||
\(441\) | 1.06753 | + | 6.91812i | 0.0508350 | + | 0.329434i | ||||
\(442\) | 1.03222 | − | 3.17684i | 0.0490976 | − | 0.151107i | ||||
\(443\) | 4.19332 | − | 7.26304i | 0.199231 | − | 0.345078i | −0.749049 | − | 0.662515i | \(-0.769489\pi\) |
0.948279 | + | 0.317438i | \(0.102822\pi\) | |||||||
\(444\) | 2.27260 | − | 0.483056i | 0.107853 | − | 0.0229248i | ||||
\(445\) | −17.4004 | + | 7.85037i | −0.824860 | + | 0.372143i | ||||
\(446\) | 9.78538 | + | 2.07995i | 0.463351 | + | 0.0984884i | ||||
\(447\) | 3.00392 | + | 9.24511i | 0.142080 | + | 0.437279i | ||||
\(448\) | −7.30095 | + | 10.5778i | −0.344937 | + | 0.499755i | ||||
\(449\) | −16.3362 | −0.770955 | −0.385477 | − | 0.922717i | \(-0.625963\pi\) | ||||
−0.385477 | + | 0.922717i | \(0.625963\pi\) | |||||||
\(450\) | −0.947427 | − | 1.60419i | −0.0446621 | − | 0.0756222i | ||||
\(451\) | 2.22791 | + | 3.85886i | 0.104908 | + | 0.181707i | ||||
\(452\) | 2.54289 | − | 24.1940i | 0.119608 | − | 1.13799i | ||||
\(453\) | −17.4765 | − | 3.71474i | −0.821117 | − | 0.174534i | ||||
\(454\) | 0.447792 | + | 1.37816i | 0.0210159 | + | 0.0646804i | ||||
\(455\) | −8.17352 | − | 10.5871i | −0.383180 | − | 0.496332i | ||||
\(456\) | 0.928702 | − | 2.85825i | 0.0434904 | − | 0.133850i | ||||
\(457\) | 15.6682 | − | 27.1381i | 0.732928 | − | 1.26947i | −0.222698 | − | 0.974887i | \(-0.571487\pi\) |
0.955626 | − | 0.294581i | \(-0.0951802\pi\) | |||||||
\(458\) | −1.08703 | + | 0.231056i | −0.0507937 | + | 0.0107965i | ||||
\(459\) | 3.62240 | + | 1.61280i | 0.169079 | + | 0.0752789i | ||||
\(460\) | −10.3608 | + | 32.4313i | −0.483074 | + | 1.51212i | ||||
\(461\) | −17.1573 | − | 12.4655i | −0.799095 | − | 0.580576i | 0.111554 | − | 0.993758i | \(-0.464417\pi\) |
−0.910648 | + | 0.413182i | \(0.864417\pi\) | |||||||
\(462\) | −2.09187 | + | 5.02194i | −0.0973225 | + | 0.233642i | ||||
\(463\) | −26.0427 | + | 18.9211i | −1.21031 | + | 0.879339i | −0.995259 | − | 0.0972646i | \(-0.968991\pi\) |
−0.215048 | + | 0.976604i | \(0.568991\pi\) | |||||||
\(464\) | 11.5316 | − | 5.13421i | 0.535342 | − | 0.238350i | ||||
\(465\) | 2.65299 | − | 4.64797i | 0.123029 | − | 0.215544i | ||||
\(466\) | 7.88984 | + | 3.51278i | 0.365490 | + | 0.162726i | ||||
\(467\) | −15.5717 | − | 17.2942i | −0.720574 | − | 0.800279i | 0.265934 | − | 0.963991i | \(-0.414320\pi\) |
−0.986508 | + | 0.163712i | \(0.947653\pi\) | |||||||
\(468\) | −4.20772 | −0.194502 | ||||||||
\(469\) | 6.43870 | + | 27.0560i | 0.297311 | + | 1.24933i | ||||
\(470\) | −2.76068 | + | 0.601066i | −0.127341 | + | 0.0277251i | ||||
\(471\) | 19.6256 | + | 4.17155i | 0.904300 | + | 0.192215i | ||||
\(472\) | 3.28086 | − | 3.64377i | 0.151014 | − | 0.167718i | ||||
\(473\) | −6.75160 | + | 64.2372i | −0.310439 | + | 2.95363i | ||||
\(474\) | −0.971868 | + | 1.68332i | −0.0446394 | + | 0.0773177i | ||||
\(475\) | −7.06504 | − | 7.69235i | −0.324166 | − | 0.352949i | ||||
\(476\) | 17.1406 | + | 9.35080i | 0.785640 | + | 0.428593i | ||||
\(477\) | −2.64650 | − | 1.92279i | −0.121175 | − | 0.0880387i | ||||
\(478\) | 1.52218 | + | 0.323550i | 0.0696230 | + | 0.0147988i | ||||
\(479\) | 12.7739 | − | 14.1869i | 0.583655 | − | 0.648215i | −0.376917 | − | 0.926247i | \(-0.623016\pi\) |
0.960572 | + | 0.278033i | \(0.0896823\pi\) | |||||||
\(480\) | −8.89951 | − | 1.84576i | −0.406205 | − | 0.0842470i | ||||
\(481\) | 1.88847 | + | 2.09736i | 0.0861067 | + | 0.0956312i | ||||
\(482\) | 8.23941 | 0.375295 | ||||||||
\(483\) | 20.7409 | + | 6.18863i | 0.943745 | + | 0.281593i | ||||
\(484\) | 29.2888 | − | 21.2795i | 1.33131 | − | 0.967251i | ||||
\(485\) | −9.03446 | − | 27.3450i | −0.410234 | − | 1.24167i | ||||
\(486\) | −0.0389488 | + | 0.370573i | −0.00176675 | + | 0.0168095i | ||||
\(487\) | 15.4154 | + | 6.86340i | 0.698540 | + | 0.311010i | 0.725106 | − | 0.688637i | \(-0.241791\pi\) |
−0.0265660 | + | 0.999647i | \(0.508457\pi\) | |||||||
\(488\) | 1.08223 | + | 10.2967i | 0.0489902 | + | 0.466111i | ||||
\(489\) | −9.86149 | − | 7.16479i | −0.445952 | − | 0.324003i | ||||
\(490\) | −5.19410 | + | 2.65282i | −0.234646 | + | 0.119842i | ||||
\(491\) | −12.7713 | + | 9.27891i | −0.576362 | + | 0.418751i | −0.837411 | − | 0.546574i | \(-0.815932\pi\) |
0.261049 | + | 0.965326i | \(0.415932\pi\) | |||||||
\(492\) | 1.00558 | + | 1.11681i | 0.0453350 | + | 0.0503496i | ||||
\(493\) | −7.85453 | − | 13.6044i | −0.353750 | − | 0.612713i | ||||
\(494\) | 1.72125 | − | 0.365863i | 0.0774427 | − | 0.0164610i | ||||
\(495\) | 12.3392 | − | 0.0609397i | 0.554605 | − | 0.00273904i | ||||
\(496\) | −2.35654 | − | 7.25270i | −0.105812 | − | 0.325656i | ||||
\(497\) | 21.5493 | − | 7.58280i | 0.966617 | − | 0.340135i | ||||
\(498\) | −2.59042 | − | 1.88205i | −0.116080 | − | 0.0843368i | ||||
\(499\) | 18.3612 | − | 31.8025i | 0.821960 | − | 1.42368i | −0.0822606 | − | 0.996611i | \(-0.526214\pi\) |
0.904221 | − | 0.427066i | \(-0.140453\pi\) | |||||||
\(500\) | −13.6929 | + | 15.6682i | −0.612365 | + | 0.700705i | ||||
\(501\) | 3.53237 | + | 6.11825i | 0.157815 | + | 0.273343i | ||||
\(502\) | −6.33179 | + | 2.81909i | −0.282602 | + | 0.125822i | ||||
\(503\) | −1.77197 | − | 5.45357i | −0.0790083 | − | 0.243163i | 0.903749 | − | 0.428063i | \(-0.140804\pi\) |
−0.982757 | + | 0.184900i | \(0.940804\pi\) | |||||||
\(504\) | −0.701122 | + | 3.74138i | −0.0312304 | + | 0.166654i | ||||
\(505\) | −19.3199 | − | 33.0845i | −0.859722 | − | 1.47224i | ||||
\(506\) | 11.2558 | + | 12.5008i | 0.500381 | + | 0.555729i | ||||
\(507\) | 3.94438 | + | 6.83186i | 0.175176 | + | 0.303414i | ||||
\(508\) | −2.37542 | + | 0.504911i | −0.105392 | + | 0.0224018i | ||||
\(509\) | 2.37643 | + | 22.6102i | 0.105333 | + | 1.00218i | 0.911726 | + | 0.410800i | \(0.134750\pi\) |
−0.806392 | + | 0.591381i | \(0.798583\pi\) | |||||||
\(510\) | −0.329108 | + | 3.28735i | −0.0145731 | + | 0.145566i | ||||
\(511\) | −13.1989 | − | 1.06519i | −0.583884 | − | 0.0471212i | ||||
\(512\) | −17.8948 | + | 13.0013i | −0.790846 | + | 0.574583i | ||||
\(513\) | 0.218349 | + | 2.07745i | 0.00964034 | + | 0.0917217i | ||||
\(514\) | 0.729792 | − | 6.94351i | 0.0321898 | − | 0.306265i | ||||
\(515\) | 24.4903 | + | 5.07928i | 1.07917 | + | 0.223820i | ||||
\(516\) | 2.27711 | + | 21.6652i | 0.100244 | + | 0.953759i | ||||
\(517\) | 5.78252 | − | 17.7968i | 0.254315 | − | 0.782701i | ||||
\(518\) | 1.05060 | − | 0.640939i | 0.0461608 | − | 0.0281612i | ||||
\(519\) | −5.37215 | + | 16.5338i | −0.235811 | + | 0.725752i | ||||
\(520\) | −2.28168 | − | 6.90604i | −0.100058 | − | 0.302850i | ||||
\(521\) | −13.7032 | + | 15.2189i | −0.600348 | + | 0.666754i | −0.964346 | − | 0.264646i | \(-0.914745\pi\) |
0.363998 | + | 0.931400i | \(0.381412\pi\) | |||||||
\(522\) | 0.987766 | − | 1.09703i | 0.0432333 | − | 0.0480155i | ||||
\(523\) | −32.1263 | + | 14.3036i | −1.40479 | + | 0.625451i | −0.962465 | − | 0.271406i | \(-0.912511\pi\) |
−0.442321 | + | 0.896857i | \(0.645845\pi\) | |||||||
\(524\) | −5.34477 | −0.233488 | ||||||||
\(525\) | 10.1267 | + | 8.51177i | 0.441965 | + | 0.371484i | ||||
\(526\) | 0.438484 | 0.0191188 | ||||||||
\(527\) | −8.66988 | + | 3.86008i | −0.377666 | + | 0.168148i | ||||
\(528\) | 11.7651 | − | 13.0664i | 0.512009 | − | 0.568643i | ||||
\(529\) | 29.3926 | − | 32.6437i | 1.27794 | − | 1.41929i | ||||
\(530\) | 0.829438 | − | 2.59631i | 0.0360285 | − | 0.112776i | ||||
\(531\) | −1.05313 | + | 3.24120i | −0.0457020 | + | 0.140656i | ||||
\(532\) | 0.248809 | + | 10.2830i | 0.0107872 | + | 0.445827i | ||||
\(533\) | −0.564115 | + | 1.73617i | −0.0244345 | + | 0.0752018i | ||||
\(534\) | 0.332507 | + | 3.16359i | 0.0143890 | + | 0.136902i | ||||
\(535\) | −17.5567 | + | 30.7589i | −0.759042 | + | 1.32982i | ||||
\(536\) | −1.58084 | + | 15.0407i | −0.0682820 | + | 0.649660i | ||||
\(537\) | −2.14706 | − | 20.4279i | −0.0926524 | − | 0.881529i | ||||
\(538\) | −4.18468 | + | 3.04035i | −0.180414 | + | 0.131079i | ||||
\(539\) | 2.17505 | − | 38.5669i | 0.0936861 | − | 1.66119i | ||||
\(540\) | 4.06641 | − | 0.885355i | 0.174990 | − | 0.0380996i | ||||
\(541\) | 1.24867 | + | 11.8803i | 0.0536846 | + | 0.510775i | 0.988014 | + | 0.154364i | \(0.0493329\pi\) |
−0.934329 | + | 0.356411i | \(0.884000\pi\) | |||||||
\(542\) | 2.88552 | − | 0.613337i | 0.123944 | − | 0.0263451i | ||||
\(543\) | −6.47285 | − | 11.2113i | −0.277777 | − | 0.481123i | ||||
\(544\) | 10.7846 | + | 11.9775i | 0.462386 | + | 0.513531i | ||||
\(545\) | 20.6572 | + | 9.07521i | 0.884858 | + | 0.388739i | ||||
\(546\) | −2.10244 | + | 0.739811i | −0.0899761 | + | 0.0316610i | ||||
\(547\) | −13.4082 | − | 41.2662i | −0.573294 | − | 1.76442i | −0.641917 | − | 0.766774i | \(-0.721861\pi\) |
0.0686232 | − | 0.997643i | \(-0.478139\pi\) | |||||||
\(548\) | −19.3429 | + | 8.61201i | −0.826287 | + | 0.367887i | ||||
\(549\) | −3.59814 | − | 6.23215i | −0.153565 | − | 0.265982i | ||||
\(550\) | 3.27343 | + | 9.74597i | 0.139580 | + | 0.415570i | ||||
\(551\) | 4.13781 | − | 7.16689i | 0.176277 | − | 0.305320i | ||||
\(552\) | 9.52213 | + | 6.91823i | 0.405289 | + | 0.294459i | ||||
\(553\) | 2.54211 | − | 13.5654i | 0.108101 | − | 0.576858i | ||||
\(554\) | 0.557934 | + | 1.71714i | 0.0237043 | + | 0.0729544i | ||||
\(555\) | −2.26636 | − | 1.62956i | −0.0962015 | − | 0.0691712i | ||||
\(556\) | 8.18058 | − | 1.73884i | 0.346934 | − | 0.0737431i | ||||
\(557\) | −4.81603 | − | 8.34161i | −0.204062 | − | 0.353445i | 0.745772 | − | 0.666202i | \(-0.232081\pi\) |
−0.949833 | + | 0.312756i | \(0.898748\pi\) | |||||||
\(558\) | −0.596742 | − | 0.662750i | −0.0252621 | − | 0.0280564i | ||||
\(559\) | −21.4085 | + | 15.5542i | −0.905484 | + | 0.657873i | ||||
\(560\) | 18.6814 | − | 2.51554i | 0.789432 | − | 0.106301i | ||||
\(561\) | −17.7023 | − | 12.8615i | −0.747393 | − | 0.543013i | ||||
\(562\) | 0.756420 | + | 7.19686i | 0.0319077 | + | 0.303581i | ||||
\(563\) | −30.2882 | − | 13.4852i | −1.27649 | − | 0.568332i | −0.347241 | − | 0.937776i | \(-0.612882\pi\) |
−0.929253 | + | 0.369444i | \(0.879548\pi\) | |||||||
\(564\) | 0.659699 | − | 6.27662i | 0.0277784 | − | 0.264293i | ||||
\(565\) | −23.5606 | + | 17.2962i | −0.991202 | + | 0.727657i | ||||
\(566\) | 7.15521 | − | 5.19856i | 0.300756 | − | 0.218512i | ||||
\(567\) | −0.612521 | − | 2.57387i | −0.0257235 | − | 0.108092i | ||||
\(568\) | 12.4225 | 0.521237 | ||||||||
\(569\) | 3.16497 | + | 3.51506i | 0.132683 | + | 0.147359i | 0.805825 | − | 0.592154i | \(-0.201722\pi\) |
−0.673142 | + | 0.739513i | \(0.735056\pi\) | |||||||
\(570\) | −1.58646 | + | 0.715748i | −0.0664497 | + | 0.0299794i | ||||
\(571\) | 3.93835 | − | 4.37398i | 0.164815 | − | 0.183045i | −0.655080 | − | 0.755559i | \(-0.727365\pi\) |
0.819895 | + | 0.572514i | \(0.194032\pi\) | |||||||
\(572\) | 22.7121 | + | 4.82761i | 0.949641 | + | 0.201852i | ||||
\(573\) | −6.19902 | − | 4.50385i | −0.258968 | − | 0.188151i | ||||
\(574\) | 0.698810 | + | 0.381224i | 0.0291678 | + | 0.0159120i | ||||
\(575\) | 37.2018 | − | 17.0056i | 1.55142 | − | 0.709181i | ||||
\(576\) | 2.42895 | − | 4.20706i | 0.101206 | − | 0.175294i | ||||
\(577\) | 0.128142 | − | 1.21919i | 0.00533461 | − | 0.0507554i | −0.991531 | − | 0.129872i | \(-0.958543\pi\) |
0.996865 | + | 0.0791167i | \(0.0252100\pi\) | |||||||
\(578\) | −0.318415 | + | 0.353636i | −0.0132443 | + | 0.0147093i | ||||
\(579\) | −0.743387 | − | 0.158012i | −0.0308941 | − | 0.00656675i | ||||
\(580\) | −15.0949 | − | 6.63156i | −0.626782 | − | 0.275360i | ||||
\(581\) | 21.7863 | + | 6.50054i | 0.903847 | + | 0.269688i | ||||
\(582\) | −4.79897 | −0.198924 | ||||||||
\(583\) | 12.0790 | + | 13.4151i | 0.500262 | + | 0.555597i | ||||
\(584\) | −6.57817 | − | 2.92879i | −0.272207 | − | 0.121194i | ||||
\(585\) | 3.40118 | + | 3.74008i | 0.140621 | + | 0.154633i | ||||
\(586\) | −3.67402 | + | 1.63578i | −0.151773 | + | 0.0675735i | ||||
\(587\) | −7.95279 | + | 5.77804i | −0.328247 | + | 0.238485i | −0.739686 | − | 0.672952i | \(-0.765026\pi\) |
0.411440 | + | 0.911437i | \(0.365026\pi\) | |||||||
\(588\) | −1.98685 | − | 12.8757i | −0.0819364 | − | 0.530986i | ||||
\(589\) | −4.04474 | − | 2.93868i | −0.166661 | − | 0.121086i | ||||
\(590\) | −2.83948 | + | 0.0140234i | −0.116900 | + | 0.000577334i | ||||
\(591\) | 1.95155 | + | 0.868884i | 0.0802758 | + | 0.0357411i | ||||
\(592\) | −3.89060 | + | 0.826973i | −0.159903 | + | 0.0339884i | ||||
\(593\) | −14.4130 | + | 24.9640i | −0.591869 | + | 1.02515i | 0.402111 | + | 0.915591i | \(0.368277\pi\) |
−0.993981 | + | 0.109557i | \(0.965057\pi\) | |||||||
\(594\) | 0.635402 | − | 1.95557i | 0.0260709 | − | 0.0802378i | ||||
\(595\) | −5.54355 | − | 22.7941i | −0.227263 | − | 0.934467i | ||||
\(596\) | −5.59077 | − | 17.2066i | −0.229007 | − | 0.704810i | ||||
\(597\) | −26.0411 | − | 5.53521i | −1.06579 | − | 0.226541i | ||||
\(598\) | −0.720372 | + | 6.85388i | −0.0294582 | + | 0.280276i | ||||
\(599\) | 9.66609 | + | 16.7422i | 0.394946 | + | 0.684066i | 0.993094 | − | 0.117319i | \(-0.0374300\pi\) |
−0.598148 | + | 0.801385i | \(0.704097\pi\) | |||||||
\(600\) | 3.65817 | + | 6.19402i | 0.149344 | + | 0.252870i | ||||
\(601\) | −0.0906781 | −0.00369884 | −0.00184942 | − | 0.999998i | \(-0.500589\pi\) | ||||
−0.00184942 | + | 0.999998i | \(0.500589\pi\) | |||||||
\(602\) | 4.94702 | + | 10.4249i | 0.201625 | + | 0.424889i | ||||
\(603\) | −3.24832 | − | 9.99731i | −0.132282 | − | 0.407122i | ||||
\(604\) | 32.5265 | + | 6.91372i | 1.32348 | + | 0.281315i | ||||
\(605\) | −42.5892 | − | 8.83301i | −1.73150 | − | 0.359113i | ||||
\(606\) | −6.24481 | + | 1.32737i | −0.253678 | + | 0.0539209i | ||||
\(607\) | 11.9797 | − | 20.7494i | 0.486239 | − | 0.842191i | −0.513636 | − | 0.858008i | \(-0.671702\pi\) |
0.999875 | + | 0.0158173i | \(0.00503502\pi\) | |||||||
\(608\) | −2.62377 | + | 8.07513i | −0.106408 | + | 0.327490i | ||||
\(609\) | −4.03043 | + | 9.67585i | −0.163321 | + | 0.392085i | ||||
\(610\) | 3.98996 | − | 4.47556i | 0.161549 | − | 0.181210i | ||||
\(611\) | 7.00361 | − | 3.11821i | 0.283336 | − | 0.126149i | ||||
\(612\) | −6.74186 | − | 3.00167i | −0.272524 | − | 0.121335i | ||||
\(613\) | −25.5270 | − | 11.3654i | −1.03103 | − | 0.459043i | −0.179724 | − | 0.983717i | \(-0.557520\pi\) |
−0.851303 | + | 0.524674i | \(0.824187\pi\) | |||||||
\(614\) | 1.42767 | − | 0.635640i | 0.0576161 | − | 0.0256523i | ||||
\(615\) | 0.179860 | − | 1.79656i | 0.00725265 | − | 0.0724442i | ||||
\(616\) | 8.07703 | − | 19.3905i | 0.325433 | − | 0.781266i | ||||
\(617\) | −6.28035 | + | 19.3289i | −0.252837 | + | 0.778153i | 0.741411 | + | 0.671052i | \(0.234157\pi\) |
−0.994248 | + | 0.107102i | \(0.965843\pi\) | |||||||
\(618\) | 2.08393 | − | 3.60947i | 0.0838280 | − | 0.145194i | ||||
\(619\) | 9.25153 | − | 1.96647i | 0.371850 | − | 0.0790393i | −0.0181960 | − | 0.999834i | \(-0.505792\pi\) |
0.390046 | + | 0.920795i | \(0.372459\pi\) | |||||||
\(620\) | −4.93763 | + | 8.65061i | −0.198300 | + | 0.347417i | ||||
\(621\) | −8.00209 | − | 1.70090i | −0.321113 | − | 0.0682546i | ||||
\(622\) | 3.23894 | + | 9.96843i | 0.129870 | + | 0.399698i | ||||
\(623\) | −9.68333 | − | 20.4058i | −0.387954 | − | 0.817543i | ||||
\(624\) | 7.20344 | 0.288369 | ||||||||
\(625\) | 24.9951 | − | 0.493836i | 0.999805 | − | 0.0197534i | ||||
\(626\) | −2.83607 | − | 4.91222i | −0.113352 | − | 0.196332i | ||||
\(627\) | 1.20492 | − | 11.4640i | 0.0481198 | − | 0.457829i | ||||
\(628\) | −36.5263 | − | 7.76391i | −1.45756 | − | 0.309814i | ||||
\(629\) | 1.52962 | + | 4.70769i | 0.0609900 | + | 0.187708i | ||||
\(630\) | 1.87617 | − | 1.15734i | 0.0747483 | − | 0.0461097i | ||||
\(631\) | −13.0660 | + | 40.2130i | −0.520149 | + | 1.60085i | 0.253564 | + | 0.967319i | \(0.418397\pi\) |
−0.773713 | + | 0.633536i | \(0.781603\pi\) | |||||||
\(632\) | 3.75254 | − | 6.49958i | 0.149268 | − | 0.258540i | ||||
\(633\) | 2.81358 | − | 0.598046i | 0.111830 | − | 0.0237702i | ||||
\(634\) | −3.22651 | − | 1.43654i | −0.128141 | − | 0.0570521i | ||||
\(635\) | 2.36889 | + | 1.70329i | 0.0940066 | + | 0.0675930i | ||||
\(636\) | 4.92556 | + | 3.57863i | 0.195311 | + | 0.141902i | ||||
\(637\) | 12.3383 | − | 9.91041i | 0.488863 | − | 0.392665i | ||||
\(638\) | −6.59033 | + | 4.78816i | −0.260914 | + | 0.189565i | ||||
\(639\) | −7.88792 | + | 3.51193i | −0.312041 | + | 0.138930i | ||||
\(640\) | 21.7622 | + | 4.51349i | 0.860228 | + | 0.178411i | ||||
\(641\) | −39.1557 | − | 17.4332i | −1.54656 | − | 0.688572i | −0.556710 | − | 0.830707i | \(-0.687937\pi\) |
−0.989847 | + | 0.142135i | \(0.954603\pi\) | |||||||
\(642\) | 3.94906 | + | 4.38588i | 0.155857 | + | 0.173097i | ||||
\(643\) | 28.5747 | 1.12688 | 0.563439 | − | 0.826158i | \(-0.309478\pi\) | ||||
0.563439 | + | 0.826158i | \(0.309478\pi\) | |||||||
\(644\) | −38.6022 | − | 11.5180i | −1.52114 | − | 0.453874i | ||||
\(645\) | 17.4168 | − | 19.5365i | 0.685785 | − | 0.769248i | ||||
\(646\) | 3.01889 | + | 0.641685i | 0.118777 | + | 0.0252467i | ||||
\(647\) | −20.3614 | + | 22.6136i | −0.800488 | + | 0.889032i | −0.995786 | − | 0.0917119i | \(-0.970766\pi\) |
0.195297 | + | 0.980744i | \(0.437433\pi\) | |||||||
\(648\) | 0.150388 | − | 1.43084i | 0.00590778 | − | 0.0562088i | ||||
\(649\) | 9.40321 | − | 16.2868i | 0.369108 | − | 0.639314i | ||||
\(650\) | −2.06989 | + | 3.66836i | −0.0811878 | + | 0.143885i | ||||
\(651\) | 5.55896 | + | 3.03260i | 0.217873 | + | 0.118857i | ||||
\(652\) | 18.3538 | + | 13.3348i | 0.718790 | + | 0.522231i | ||||
\(653\) | 2.65846 | + | 0.565074i | 0.104034 | + | 0.0221130i | 0.259634 | − | 0.965707i | \(-0.416398\pi\) |
−0.155601 | + | 0.987820i | \(0.549731\pi\) | |||||||
\(654\) | 2.51581 | − | 2.79409i | 0.0983761 | − | 0.109258i | ||||
\(655\) | 4.32028 | + | 4.75077i | 0.168807 | + | 0.185628i | ||||
\(656\) | −1.72151 | − | 1.91193i | −0.0672137 | − | 0.0746484i | ||||
\(657\) | 5.00493 | 0.195261 | ||||||||
\(658\) | −0.773943 | − | 3.25218i | −0.0301714 | − | 0.126783i | ||||
\(659\) | 22.0409 | − | 16.0136i | 0.858590 | − | 0.623802i | −0.0689113 | − | 0.997623i | \(-0.521953\pi\) |
0.927501 | + | 0.373821i | \(0.121953\pi\) | |||||||
\(660\) | −22.9652 | + | 0.113419i | −0.893918 | + | 0.00441481i | ||||
\(661\) | 1.44091 | − | 13.7093i | 0.0560447 | − | 0.533230i | −0.930096 | − | 0.367317i | \(-0.880276\pi\) |
0.986140 | − | 0.165913i | \(-0.0530570\pi\) | |||||||
\(662\) | −8.17959 | − | 3.64179i | −0.317909 | − | 0.141542i | ||||
\(663\) | −0.937053 | − | 8.91547i | −0.0363921 | − | 0.346248i | ||||
\(664\) | 10.0020 | + | 7.26691i | 0.388154 | + | 0.282011i | ||||
\(665\) | 8.93909 | − | 8.53314i | 0.346643 | − | 0.330901i | ||||
\(666\) | −0.376316 | + | 0.273410i | −0.0145820 | + | 0.0105944i | ||||
\(667\) | 21.6867 | + | 24.0855i | 0.839712 | + | 0.932595i | ||||
\(668\) | −6.57431 | − | 11.3870i | −0.254368 | − | 0.440577i | ||||
\(669\) | 26.2614 | − | 5.58204i | 1.01533 | − | 0.215814i | ||||
\(670\) | 7.06013 | − | 5.18295i | 0.272757 | − | 0.200235i | ||||
\(671\) | 12.2715 | + | 37.7677i | 0.473735 | + | 1.45801i | ||||
\(672\) | 1.98081 | − | 10.5701i | 0.0764114 | − | 0.407752i | ||||
\(673\) | 4.21671 | + | 3.06362i | 0.162542 | + | 0.118094i | 0.666083 | − | 0.745878i | \(-0.267970\pi\) |
−0.503541 | + | 0.863972i | \(0.667970\pi\) | |||||||
\(674\) | 1.63724 | − | 2.83578i | 0.0630641 | − | 0.109230i | ||||
\(675\) | −4.07392 | − | 2.89883i | −0.156805 | − | 0.111576i | ||||
\(676\) | −7.34111 | − | 12.7152i | −0.282350 | − | 0.489045i | ||||
\(677\) | 10.2516 | − | 4.56430i | 0.394000 | − | 0.175420i | −0.200167 | − | 0.979762i | \(-0.564148\pi\) |
0.594167 | + | 0.804342i | \(0.297482\pi\) | |||||||
\(678\) | 1.50505 | + | 4.63208i | 0.0578013 | + | 0.177894i | ||||
\(679\) | 32.1432 | − | 11.3106i | 1.23354 | − | 0.434062i | ||||
\(680\) | 1.27074 | − | 12.6930i | 0.0487306 | − | 0.486753i | ||||
\(681\) | 2.60223 | + | 2.89007i | 0.0997176 | + | 0.110748i | ||||
\(682\) | 2.46067 | + | 4.26200i | 0.0942237 | + | 0.163200i | ||||
\(683\) | −1.58072 | + | 0.335992i | −0.0604846 | + | 0.0128564i | −0.238055 | − | 0.971252i | \(-0.576510\pi\) |
0.177570 | + | 0.984108i | \(0.443176\pi\) | |||||||
\(684\) | −0.406382 | − | 3.86647i | −0.0155384 | − | 0.147838i | ||||
\(685\) | 23.2901 | + | 10.2319i | 0.889869 | + | 0.390941i | ||||
\(686\) | −3.25659 | − | 6.08418i | −0.124337 | − | 0.232295i | ||||
\(687\) | −2.41288 | + | 1.75306i | −0.0920572 | + | 0.0668835i | ||||
\(688\) | −3.89832 | − | 37.0900i | −0.148622 | − | 1.41404i | ||||
\(689\) | −0.773058 | + | 7.35516i | −0.0294512 | + | 0.280209i | ||||
\(690\) | −0.745959 | − | 6.77528i | −0.0283982 | − | 0.257930i | ||||
\(691\) | −0.287591 | − | 2.73625i | −0.0109405 | − | 0.104092i | 0.987689 | − | 0.156431i | \(-0.0499989\pi\) |
−0.998629 | + | 0.0523393i | \(0.983332\pi\) | |||||||
\(692\) | 9.99842 | − | 30.7720i | 0.380083 | − | 1.16977i | ||||
\(693\) | 0.353161 | + | 14.5958i | 0.0134155 | + | 0.554449i | ||||
\(694\) | 1.64851 | − | 5.07359i | 0.0625766 | − | 0.192591i | ||||
\(695\) | −8.15811 | − | 5.86587i | −0.309455 | − | 0.222505i | ||||
\(696\) | −3.81392 | + | 4.23579i | −0.144566 | + | 0.160557i | ||||
\(697\) | −2.14239 | + | 2.37937i | −0.0811490 | + | 0.0901250i | ||||
\(698\) | −2.75058 | + | 1.22464i | −0.104111 | + | 0.0463532i | ||||
\(699\) | 23.1781 | 0.876677 | ||||||||
\(700\) | −18.8474 | − | 15.8418i | −0.712364 | − | 0.598762i | ||||
\(701\) | −36.9173 | −1.39435 | −0.697174 | − | 0.716902i | \(-0.745560\pi\) | ||||
−0.697174 | + | 0.716902i | \(0.745560\pi\) | |||||||
\(702\) | 0.769579 | − | 0.342639i | 0.0290459 | − | 0.0129321i | ||||
\(703\) | −1.74487 | + | 1.93787i | −0.0658090 | + | 0.0730883i | ||||
\(704\) | −17.9377 | + | 19.9218i | −0.676051 | + | 0.750831i | ||||
\(705\) | −6.11230 | + | 4.48713i | −0.230202 | + | 0.168995i | ||||
\(706\) | 2.48844 | − | 7.65863i | 0.0936536 | − | 0.288236i | ||||
\(707\) | 38.6988 | − | 23.6089i | 1.45542 | − | 0.887906i | ||||
\(708\) | 1.96004 | − | 6.03239i | 0.0736629 | − | 0.226711i | ||||
\(709\) | 1.04661 | + | 9.95784i | 0.0393063 | + | 0.373975i | 0.996438 | + | 0.0843231i | \(0.0268728\pi\) |
−0.957132 | + | 0.289652i | \(0.906461\pi\) | |||||||
\(710\) | −4.84014 | − | 5.32242i | −0.181647 | − | 0.199747i | ||||
\(711\) | −0.545271 | + | 5.18790i | −0.0204492 | + | 0.194562i | ||||
\(712\) | −1.28386 | − | 12.2151i | −0.0481148 | − | 0.457781i | ||||
\(713\) | 15.8407 | − | 11.5089i | 0.593237 | − | 0.431012i | ||||
\(714\) | −3.89642 | − | 0.314452i | −0.145820 | − | 0.0117681i | ||||
\(715\) | −14.0676 | − | 24.0902i | −0.526097 | − | 0.900922i | ||||
\(716\) | 3.99602 | + | 38.0195i | 0.149338 | + | 1.42086i | ||||
\(717\) | 4.08514 | − | 0.868323i | 0.152562 | − | 0.0324281i | ||||
\(718\) | 1.05561 | + | 1.82836i | 0.0393949 | + | 0.0682340i | ||||
\(719\) | −10.6302 | − | 11.8061i | −0.396440 | − | 0.440292i | 0.511569 | − | 0.859242i | \(-0.329065\pi\) |
−0.908009 | + | 0.418951i | \(0.862398\pi\) | |||||||
\(720\) | −6.96153 | + | 1.51569i | −0.259441 | + | 0.0564865i | ||||
\(721\) | −5.45092 | + | 29.0876i | −0.203003 | + | 1.08328i | ||||
\(722\) | −1.68531 | − | 5.18685i | −0.0627207 | − | 0.193035i | ||||
\(723\) | 20.2007 | − | 8.99393i | 0.751272 | − | 0.334488i | ||||
\(724\) | 12.0470 | + | 20.8660i | 0.447723 | + | 0.775479i | ||||
\(725\) | 6.30697 | + | 18.7777i | 0.234235 | + | 0.697387i | ||||
\(726\) | −3.62401 | + | 6.27697i | −0.134500 | + | 0.232960i | ||||
\(727\) | 32.4993 | + | 23.6121i | 1.20533 | + | 0.875725i | 0.994799 | − | 0.101861i | \(-0.0324797\pi\) |
0.210534 | + | 0.977587i | \(0.432480\pi\) | |||||||
\(728\) | 8.11785 | − | 2.85653i | 0.300868 | − | 0.105870i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | 1.30819 | + | 3.95955i | 0.0484183 | + | 0.146550i | ||||
\(731\) | −45.3980 | + | 9.64964i | −1.67911 | + | 0.356905i | ||||
\(732\) | 6.69670 | + | 11.5990i | 0.247517 | + | 0.428712i | ||||
\(733\) | 6.44054 | + | 7.15294i | 0.237887 | + | 0.264200i | 0.850253 | − | 0.526374i | \(-0.176449\pi\) |
−0.612366 | + | 0.790574i | \(0.709782\pi\) | |||||||
\(734\) | 8.06256 | − | 5.85779i | 0.297594 | − | 0.216215i | ||||
\(735\) | −9.83872 | + | 12.1737i | −0.362907 | + | 0.449035i | ||||
\(736\) | −26.9019 | − | 19.5454i | −0.991618 | − | 0.720452i | ||||
\(737\) | 6.06342 | + | 57.6896i | 0.223349 | + | 2.12502i | ||||
\(738\) | −0.274860 | − | 0.122376i | −0.0101177 | − | 0.00450471i | ||||
\(739\) | −4.20208 | + | 39.9801i | −0.154576 | + | 1.47069i | 0.592294 | + | 0.805722i | \(0.298222\pi\) |
−0.746870 | + | 0.664970i | \(0.768444\pi\) | |||||||
\(740\) | 4.21805 | + | 3.03288i | 0.155059 | + | 0.111491i | ||||
\(741\) | 3.82065 | − | 2.77587i | 0.140355 | − | 0.101974i | ||||
\(742\) | 3.09032 | + | 0.922082i | 0.113449 | + | 0.0338507i | ||||
\(743\) | −2.83004 | −0.103824 | −0.0519121 | − | 0.998652i | \(-0.516532\pi\) | ||||
−0.0519121 | + | 0.998652i | \(0.516532\pi\) | |||||||
\(744\) | 2.30412 | + | 2.55898i | 0.0844730 | + | 0.0938168i | ||||
\(745\) | −10.7752 | + | 18.8779i | −0.394772 | + | 0.691631i | ||||
\(746\) | −0.471691 | + | 0.523866i | −0.0172698 | + | 0.0191801i | ||||
\(747\) | −8.40539 | − | 1.78662i | −0.307537 | − | 0.0653690i | ||||
\(748\) | 32.9469 | + | 23.9373i | 1.20466 | + | 0.875234i | ||||
\(749\) | −36.7876 | − | 20.0689i | −1.34419 | − | 0.733300i | ||||
\(750\) | 1.22851 | − | 3.98070i | 0.0448588 | − | 0.145355i | ||||
\(751\) | −9.39057 | + | 16.2649i | −0.342667 | + | 0.593516i | −0.984927 | − | 0.172970i | \(-0.944664\pi\) |
0.642260 | + | 0.766487i | \(0.277997\pi\) | |||||||
\(752\) | −1.12938 | + | 10.7453i | −0.0411842 | + | 0.391842i | ||||
\(753\) | −12.4465 | + | 13.8232i | −0.453576 | + | 0.503747i | ||||
\(754\) | −3.26446 | − | 0.693882i | −0.118885 | − | 0.0252697i | ||||
\(755\) | −20.1464 | − | 34.5001i | −0.733204 | − | 1.25559i | ||||
\(756\) | 1.14000 | + | 4.79038i | 0.0414614 | + | 0.174225i | ||||
\(757\) | −26.3525 | −0.957797 | −0.478898 | − | 0.877870i | \(-0.658964\pi\) | ||||
−0.478898 | + | 0.877870i | \(0.658964\pi\) | |||||||
\(758\) | 8.29780 | + | 9.21564i | 0.301389 | + | 0.334727i | ||||
\(759\) | 41.2416 | + | 18.3620i | 1.49698 | + | 0.666497i | ||||
\(760\) | 6.12559 | − | 2.76362i | 0.222198 | − | 0.100247i | ||||
\(761\) | 18.2652 | − | 8.13218i | 0.662112 | − | 0.294791i | −0.0480338 | − | 0.998846i | \(-0.515296\pi\) |
0.710146 | + | 0.704054i | \(0.248629\pi\) | |||||||
\(762\) | 0.393341 | − | 0.285779i | 0.0142493 | − | 0.0103527i | ||||
\(763\) | −10.2654 | + | 24.6441i | −0.371632 | + | 0.892178i | ||||
\(764\) | 11.5374 | + | 8.38238i | 0.417407 | + | 0.303264i | ||||
\(765\) | 2.78151 | + | 8.41889i | 0.100566 | + | 0.304386i | ||||
\(766\) | −4.57429 | − | 2.03660i | −0.165276 | − | 0.0735855i | ||||
\(767\) | 7.53646 | − | 1.60192i | 0.272126 | − | 0.0578421i | ||||
\(768\) | −3.00610 | + | 5.20672i | −0.108473 | + | 0.187881i | ||||
\(769\) | −11.7559 | + | 36.1808i | −0.423927 | + | 1.30471i | 0.480090 | + | 0.877219i | \(0.340604\pi\) |
−0.904018 | + | 0.427495i | \(0.859396\pi\) | |||||||
\(770\) | −11.4549 | + | 4.09446i | −0.412806 | + | 0.147554i | ||||
\(771\) | −5.79012 | − | 17.8201i | −0.208526 | − | 0.641777i | ||||
\(772\) | 1.38356 | + | 0.294085i | 0.0497955 | + | 0.0105844i | ||||
\(773\) | −5.15274 | + | 49.0250i | −0.185331 | + | 1.76331i | 0.367508 | + | 0.930020i | \(0.380211\pi\) |
−0.552839 | + | 0.833288i | \(0.686456\pi\) | |||||||
\(774\) | −2.18070 | − | 3.77708i | −0.0783836 | − | 0.135764i | ||||
\(775\) | 11.6804 | − | 2.60358i | 0.419571 | − | 0.0935234i | ||||
\(776\) | 18.5296 | 0.665174 | ||||||||
\(777\) | 1.87615 | − | 2.71821i | 0.0673063 | − | 0.0975153i | ||||
\(778\) | 2.94766 | + | 9.07197i | 0.105679 | + | 0.325246i | ||||
\(779\) | −1.64984 | − | 0.350685i | −0.0591118 | − | 0.0125646i | ||||
\(780\) | −6.33013 | − | 6.96088i | −0.226655 | − | 0.249240i | ||||
\(781\) | 46.6061 | − | 9.90644i | 1.66770 | − | 0.354480i | ||||
\(782\) | −6.04359 | + | 10.4678i | −0.216118 | + | 0.374328i | ||||
\(783\) | 1.22424 | − | 3.76782i | 0.0437507 | − | 0.134651i | ||||
\(784\) | 3.40141 | + | 22.0427i | 0.121479 | + | 0.787239i | ||||
\(785\) | 22.6239 | + | 38.7426i | 0.807481 | + | 1.38278i | ||||
\(786\) | 0.977543 | − | 0.435230i | 0.0348678 | − | 0.0155241i | ||||
\(787\) | 14.7277 | + | 6.55720i | 0.524986 | + | 0.233739i | 0.652078 | − | 0.758152i | \(-0.273898\pi\) |
−0.127092 | + | 0.991891i | \(0.540564\pi\) | |||||||
\(788\) | −3.63213 | − | 1.61713i | −0.129389 | − | 0.0576079i | ||||
\(789\) | 1.07504 | − | 0.478638i | 0.0382724 | − | 0.0170400i | ||||
\(790\) | −4.24683 | + | 0.924637i | −0.151096 | + | 0.0328971i | ||||
\(791\) | −20.9980 | − | 27.4781i | −0.746604 | − | 0.977010i | ||||
\(792\) | −2.45339 | + | 7.55075i | −0.0871773 | + | 0.268304i | ||||
\(793\) | −8.13469 | + | 14.0897i | −0.288871 | + | 0.500340i | ||||
\(794\) | −1.54701 | + | 0.328828i | −0.0549015 | + | 0.0116697i | ||||
\(795\) | −0.800517 | − | 7.27081i | −0.0283914 | − | 0.257869i | ||||
\(796\) | 48.4666 | + | 10.3019i | 1.71785 | + | 0.365141i | ||||
\(797\) | −2.21106 | − | 6.80496i | −0.0783199 | − | 0.241044i | 0.904229 | − | 0.427048i | \(-0.140446\pi\) |
−0.982549 | + | 0.186004i | \(0.940446\pi\) | |||||||
\(798\) | −0.882865 | − | 1.86048i | −0.0312531 | − | 0.0658602i | ||||
\(799\) | 13.4460 | 0.475687 | ||||||||
\(800\) | −10.3351 | − | 17.4994i | −0.365399 | − | 0.618696i | ||||
\(801\) | 4.26851 | + | 7.39328i | 0.150820 | + | 0.261229i | ||||
\(802\) | −0.378960 | + | 3.60556i | −0.0133815 | + | 0.127317i | ||||
\(803\) | −27.0152 | − | 5.74227i | −0.953347 | − | 0.202640i | ||||
\(804\) | 6.04564 | + | 18.6066i | 0.213213 | + | 0.656204i | ||||
\(805\) | 20.9649 | + | 43.6222i | 0.738917 | + | 1.53748i | ||||
\(806\) | −0.623048 | + | 1.91755i | −0.0219459 | + | 0.0675427i | ||||
\(807\) | −6.94088 | + | 12.0220i | −0.244331 | + | 0.423193i | ||||
\(808\) | 24.1122 | − | 5.12520i | 0.848264 | − | 0.180304i | ||||
\(809\) | −13.0358 | − | 5.80392i | −0.458315 | − | 0.204055i | 0.164575 | − | 0.986365i | \(-0.447375\pi\) |
−0.622890 | + | 0.782310i | \(0.714042\pi\) | |||||||
\(810\) | −0.671639 | + | 0.493060i | −0.0235990 | + | 0.0173244i | ||||
\(811\) | 23.5271 | + | 17.0935i | 0.826149 | + | 0.600233i | 0.918467 | − | 0.395497i | \(-0.129428\pi\) |
−0.0923180 | + | 0.995730i | \(0.529428\pi\) | |||||||
\(812\) | 7.50127 | − | 18.0083i | 0.263243 | − | 0.631967i | ||||
\(813\) | 6.40499 | − | 4.65350i | 0.224633 | − | 0.163205i | ||||
\(814\) | 2.34494 | − | 1.04403i | 0.0821901 | − | 0.0365934i | ||||
\(815\) | −2.98292 | − | 27.0928i | −0.104487 | − | 0.949018i | ||||
\(816\) | 11.5418 | + | 5.13874i | 0.404044 | + | 0.179892i | ||||
\(817\) | −16.3604 | − | 18.1700i | −0.572377 | − | 0.635689i | ||||
\(818\) | −12.6886 | −0.443645 | ||||||||
\(819\) | −4.34703 | + | 4.10878i | −0.151897 | + | 0.143572i | ||||
\(820\) | −0.334748 | + | 3.34368i | −0.0116899 | + | 0.116766i | ||||
\(821\) | 15.9643 | + | 3.39332i | 0.557159 | + | 0.118428i | 0.477881 | − | 0.878425i | \(-0.341405\pi\) |
0.0792780 | + | 0.996853i | \(0.474739\pi\) | |||||||
\(822\) | 2.83647 | − | 3.15022i | 0.0989332 | − | 0.109876i | ||||
\(823\) | −3.26553 | + | 31.0694i | −0.113829 | + | 1.08301i | 0.777259 | + | 0.629181i | \(0.216610\pi\) |
−0.891088 | + | 0.453831i | \(0.850057\pi\) | |||||||
\(824\) | −8.04639 | + | 13.9367i | −0.280309 | + | 0.485510i | ||||
\(825\) | 18.6640 | + | 20.3212i | 0.649797 | + | 0.707493i | ||||
\(826\) | −0.0812692 | − | 3.35878i | −0.00282772 | − | 0.116867i | ||||
\(827\) | 8.85173 | + | 6.43115i | 0.307805 | + | 0.223633i | 0.730954 | − | 0.682427i | \(-0.239075\pi\) |
−0.423149 | + | 0.906060i | \(0.639075\pi\) | |||||||
\(828\) | 14.8932 | + | 3.16564i | 0.517573 | + | 0.110014i | ||||
\(829\) | 0.656930 | − | 0.729595i | 0.0228161 | − | 0.0253399i | −0.731629 | − | 0.681703i | \(-0.761240\pi\) |
0.754445 | + | 0.656363i | \(0.227906\pi\) | |||||||
\(830\) | −0.783555 | − | 7.11675i | −0.0271976 | − | 0.247026i | ||||
\(831\) | 3.24229 | + | 3.60093i | 0.112474 | + | 0.124915i | ||||
\(832\) | −10.9828 | −0.380759 | ||||||||
\(833\) | 26.8391 | − | 7.07722i | 0.929918 | − | 0.245211i | ||||
\(834\) | −1.35461 | + | 0.984180i | −0.0469062 | + | 0.0340794i | ||||
\(835\) | −4.80736 | + | 15.0480i | −0.166366 | + | 0.520758i | ||||
\(836\) | −2.24254 | + | 21.3364i | −0.0775600 | + | 0.737934i | ||||
\(837\) | −2.18649 | − | 0.973486i | −0.0755760 | − | 0.0336486i | ||||
\(838\) | −1.37112 | − | 13.0453i | −0.0473644 | − | 0.450643i | ||||
\(839\) | 32.7823 | + | 23.8178i | 1.13177 | + | 0.822281i | 0.985952 | − | 0.167031i | \(-0.0534178\pi\) |
0.145820 | + | 0.989311i | \(0.453418\pi\) | |||||||
\(840\) | −7.24418 | + | 4.46869i | −0.249948 | + | 0.154184i | ||||
\(841\) | 10.7638 | − | 7.82036i | 0.371166 | − | 0.269668i | ||||
\(842\) | −9.95852 | − | 11.0601i | −0.343193 | − | 0.381155i | ||||
\(843\) | 9.71044 | + | 16.8190i | 0.334445 | + | 0.579276i | ||||
\(844\) | −5.23653 | + | 1.11306i | −0.180249 | + | 0.0383130i | ||||
\(845\) | −5.36808 | + | 16.8032i | −0.184667 | + | 0.578046i | ||||
\(846\) | 0.390454 | + | 1.20169i | 0.0134241 | + | 0.0413151i | ||||
\(847\) | 9.47930 | − | 50.5841i | 0.325712 | − | 1.73809i | ||||
\(848\) | −8.43235 | − | 6.12646i | −0.289568 | − | 0.210384i | ||||
\(849\) | 11.8679 | − | 20.5559i | 0.407306 | − | 0.705475i | ||||
\(850\) | −5.93341 | + | 4.40107i | −0.203514 | + | 0.150955i | ||||
\(851\) | −5.10628 | − | 8.84433i | −0.175041 | − | 0.303180i | ||||
\(852\) | 14.6807 | − | 6.53625i | 0.502951 | − | 0.223928i | ||||
\(853\) | −16.1753 | − | 49.7825i | −0.553832 | − | 1.70452i | −0.699008 | − | 0.715114i | \(-0.746375\pi\) |
0.145176 | − | 0.989406i | \(-0.453625\pi\) | |||||||
\(854\) | 5.38546 | + | 4.61817i | 0.184287 | + | 0.158030i | ||||
\(855\) | −3.10827 | + | 3.48656i | −0.106301 | + | 0.119238i | ||||
\(856\) | −15.2480 | − | 16.9346i | −0.521165 | − | 0.578812i | ||||
\(857\) | −24.0634 | − | 41.6790i | −0.821990 | − | 1.42373i | −0.904198 | − | 0.427114i | \(-0.859530\pi\) |
0.0822074 | − | 0.996615i | \(-0.473803\pi\) | |||||||
\(858\) | −4.54709 | + | 0.966515i | −0.155235 | + | 0.0329963i | ||||
\(859\) | 3.23946 | + | 30.8214i | 0.110529 | + | 1.05161i | 0.899422 | + | 0.437082i | \(0.143988\pi\) |
−0.788893 | + | 0.614531i | \(0.789345\pi\) | |||||||
\(860\) | −32.4154 | + | 36.3605i | −1.10536 | + | 1.23988i | ||||
\(861\) | 2.12942 | + | 0.171851i | 0.0725704 | + | 0.00585665i | ||||
\(862\) | 9.54311 | − | 6.93347i | 0.325040 | − | 0.236155i | ||||
\(863\) | 0.0312811 | + | 0.297620i | 0.00106482 | + | 0.0101311i | 0.995041 | − | 0.0994616i | \(-0.0317120\pi\) |
−0.993977 | + | 0.109593i | \(0.965045\pi\) | |||||||
\(864\) | −0.424875 | + | 4.04241i | −0.0144545 | + | 0.137526i | ||||
\(865\) | −35.4339 | + | 15.9864i | −1.20479 | + | 0.543553i | ||||
\(866\) | 0.124054 | + | 1.18030i | 0.00421553 | + | 0.0401081i | ||||
\(867\) | −0.394644 | + | 1.21459i | −0.0134028 | + | 0.0412496i | ||||
\(868\) | −10.3461 | − | 5.64415i | −0.351170 | − | 0.191575i | ||||
\(869\) | 8.89542 | − | 27.3773i | 0.301756 | − | 0.928711i | ||||
\(870\) | 3.30083 | − | 0.0163019i | 0.111909 | − | 0.000552685i | ||||
\(871\) | −15.9020 | + | 17.6609i | −0.538818 | + | 0.598418i | ||||
\(872\) | −9.71396 | + | 10.7884i | −0.328956 | + | 0.365343i | ||||
\(873\) | −11.7657 | + | 5.23844i | −0.398210 | + | 0.177294i | ||||
\(874\) | −6.36759 | −0.215387 | ||||||||
\(875\) | 1.15356 | + | 29.5579i | 0.0389975 | + | 0.999239i | ||||
\(876\) | −9.31497 | −0.314724 | ||||||||
\(877\) | −0.325110 | + | 0.144748i | −0.0109782 | + | 0.00488781i | −0.412218 | − | 0.911085i | \(-0.635246\pi\) |
0.401240 | + | 0.915973i | \(0.368579\pi\) | |||||||
\(878\) | −5.91613 | + | 6.57052i | −0.199660 | + | 0.221744i | ||||
\(879\) | −7.22209 | + | 8.02095i | −0.243595 | + | 0.270540i | ||||
\(880\) | 39.3154 | − | 0.194168i | 1.32532 | − | 0.00654540i | ||||
\(881\) | 11.4063 | − | 35.1050i | 0.384288 | − | 1.18272i | −0.552707 | − | 0.833376i | \(-0.686405\pi\) |
0.936995 | − | 0.349342i | \(-0.113595\pi\) | |||||||
\(882\) | 1.41187 | + | 2.19314i | 0.0475402 | + | 0.0738468i | ||||
\(883\) | −0.111541 | + | 0.343287i | −0.00375364 | + | 0.0115525i | −0.952916 | − | 0.303235i | \(-0.901933\pi\) |
0.949162 | + | 0.314788i | \(0.101933\pi\) | |||||||
\(884\) | 1.74400 | + | 16.5931i | 0.0586572 | + | 0.558086i | ||||
\(885\) | −6.94630 | + | 3.13389i | −0.233497 | + | 0.105345i | ||||
\(886\) | 0.326650 | − | 3.10786i | 0.0109740 | − | 0.104411i | ||||
\(887\) | −3.68456 | − | 35.0562i | −0.123715 | − | 1.17707i | −0.863543 | − | 0.504276i | \(-0.831760\pi\) |
0.739827 | − | 0.672797i | \(-0.234907\pi\) | |||||||
\(888\) | 1.45302 | − | 1.05568i | 0.0487600 | − | 0.0354262i | ||||
\(889\) | −1.96103 | + | 2.84119i | −0.0657707 | + | 0.0952904i | ||||
\(890\) | −4.73334 | + | 5.30941i | −0.158662 | + | 0.177972i | ||||
\(891\) | −0.576821 | − | 5.48809i | −0.0193242 | − | 0.183858i | ||||
\(892\) | −48.8767 | + | 10.3891i | −1.63651 | + | 0.347851i | ||||
\(893\) | 3.54173 | + | 6.13445i | 0.118519 | + | 0.205281i | ||||
\(894\) | 2.42369 | + | 2.69178i | 0.0810602 | + | 0.0900264i | ||||
\(895\) | 30.5641 | − | 34.2838i | 1.02164 | − | 1.14598i | ||||
\(896\) | −4.84373 | + | 25.8475i | −0.161818 | + | 0.863503i | ||||
\(897\) | 5.71537 | + | 17.5901i | 0.190831 | + | 0.587317i | ||||
\(898\) | −5.56086 | + | 2.47585i | −0.185568 | + | 0.0826203i | ||||
\(899\) | 4.74100 | + | 8.21165i | 0.158121 | + | 0.273874i | ||||
\(900\) | 7.58220 | + | 5.39518i | 0.252740 | + | 0.179839i | ||||
\(901\) | −6.48561 | + | 11.2334i | −0.216067 | + | 0.374239i | ||||
\(902\) | 1.34322 | + | 0.975904i | 0.0447242 | + | 0.0324940i | ||||
\(903\) | 23.5083 | + | 20.1590i | 0.782307 | + | 0.670849i | ||||
\(904\) | −5.81126 | − | 17.8852i | −0.193279 | − | 0.594853i | ||||
\(905\) | 8.80918 | − | 27.5745i | 0.292827 | − | 0.916608i | ||||
\(906\) | −6.51199 | + | 1.38417i | −0.216346 | + | 0.0459858i | ||||
\(907\) | 6.40691 | + | 11.0971i | 0.212738 | + | 0.368473i | 0.952570 | − | 0.304318i | \(-0.0984287\pi\) |
−0.739833 | + | 0.672791i | \(0.765095\pi\) | |||||||
\(908\) | −4.84316 | − | 5.37887i | −0.160726 | − | 0.178504i | ||||
\(909\) | −13.8616 | + | 10.0710i | −0.459759 | + | 0.334035i | ||||
\(910\) | −4.38681 | − | 2.36511i | −0.145421 | − | 0.0784027i | ||||
\(911\) | −46.2871 | − | 33.6296i | −1.53356 | − | 1.11420i | −0.954217 | − | 0.299115i | \(-0.903309\pi\) |
−0.579344 | − | 0.815083i | \(-0.696691\pi\) | |||||||
\(912\) | 0.695710 | + | 6.61924i | 0.0230373 | + | 0.219185i | ||||
\(913\) | 43.3202 | + | 19.2874i | 1.43369 | + | 0.638319i | ||||
\(914\) | 1.22052 | − | 11.6124i | 0.0403711 | − | 0.384105i | ||||
\(915\) | 4.89686 | − | 15.3282i | 0.161885 | − | 0.506733i | ||||
\(916\) | 4.49076 | − | 3.26273i | 0.148379 | − | 0.107803i | ||||
\(917\) | −5.52173 | + | 5.21910i | −0.182344 | + | 0.172350i | ||||
\(918\) | 1.47750 | 0.0487646 | ||||||||
\(919\) | −37.2534 | − | 41.3741i | −1.22888 | − | 1.36481i | −0.908700 | − | 0.417449i | \(-0.862924\pi\) |
−0.320177 | − | 0.947358i | \(-0.603742\pi\) | |||||||
\(920\) | 2.88027 | + | 26.1604i | 0.0949596 | + | 0.862484i | ||||
\(921\) | 2.80640 | − | 3.11682i | 0.0924739 | − | 0.102703i | ||||
\(922\) | −7.72956 | − | 1.64297i | −0.254560 | − | 0.0541083i | ||||
\(923\) | 15.7926 | + | 11.4740i | 0.519819 | + | 0.377671i | ||||
\(924\) | −0.657289 | − | 27.1651i | −0.0216232 | − | 0.893667i | ||||
\(925\) | −0.713721 | − | 6.20080i | −0.0234670 | − | 0.203881i | ||||
\(926\) | −5.99733 | + | 10.3877i | −0.197084 | + | 0.341360i | ||||
\(927\) | 1.16920 | − | 11.1242i | 0.0384015 | − | 0.365366i | ||||
\(928\) | 10.7751 | − | 11.9670i | 0.353710 | − | 0.392834i | ||||
\(929\) | 3.63032 | + | 0.771648i | 0.119107 | + | 0.0253169i | 0.267079 | − | 0.963675i | \(-0.413941\pi\) |
−0.147973 | + | 0.988991i | \(0.547275\pi\) | |||||||
\(930\) | 0.198650 | − | 1.98425i | 0.00651399 | − | 0.0650660i | ||||
\(931\) | 10.2983 | + | 10.3805i | 0.337513 | + | 0.340209i | ||||
\(932\) | −43.1382 | −1.41304 | ||||||||
\(933\) | 18.8223 | + | 20.9042i | 0.616213 | + | 0.684374i | ||||
\(934\) | −7.92166 | − | 3.52695i | −0.259205 | − | 0.115405i | ||||
\(935\) | −5.35463 | − | 48.6342i | −0.175115 | − | 1.59051i | ||||
\(936\) | −2.97147 | + | 1.32298i | −0.0971254 | + | 0.0432430i | ||||
\(937\) | −16.4985 | + | 11.9869i | −0.538982 | + | 0.391593i | −0.823707 | − | 0.567016i | \(-0.808098\pi\) |
0.284725 | + | 0.958609i | \(0.408098\pi\) | |||||||
\(938\) | 6.29223 | + | 8.23405i | 0.205449 | + | 0.268851i | ||||
\(939\) | −12.3153 | − | 8.94760i | −0.401895 | − | 0.291994i | ||||
\(940\) | 11.3760 | − | 8.35126i | 0.371043 | − | 0.272388i | ||||
\(941\) | 5.67742 | + | 2.52775i | 0.185079 | + | 0.0824024i | 0.497184 | − | 0.867645i | \(-0.334367\pi\) |
−0.312105 | + | 0.950048i | \(0.601034\pi\) | |||||||
\(942\) | 7.31278 | − | 1.55438i | 0.238263 | − | 0.0506444i | ||||
\(943\) | 3.30287 | − | 5.72073i | 0.107556 | − | 0.186293i | ||||
\(944\) | −3.35551 | + | 10.3272i | −0.109213 | + | 0.336122i | ||||
\(945\) | 3.33651 | − | 4.88546i | 0.108537 | − | 0.158924i | ||||
\(946\) | 7.43728 | + | 22.8896i | 0.241807 | + | 0.744205i | ||||
\(947\) | 8.98605 | + | 1.91004i | 0.292007 | + | 0.0620681i | 0.351586 | − | 0.936156i | \(-0.385642\pi\) |
−0.0595788 | + | 0.998224i | \(0.518976\pi\) | |||||||
\(948\) | 1.01484 | − | 9.65551i | 0.0329603 | − | 0.313596i | ||||
\(949\) | −5.65759 | − | 9.79923i | −0.183653 | − | 0.318096i | ||||
\(950\) | −3.57076 | − | 1.54773i | −0.115851 | − | 0.0502150i | ||||
\(951\) | −9.47859 | −0.307364 | ||||||||
\(952\) | 15.0447 | + | 1.21415i | 0.487601 | + | 0.0393508i | ||||
\(953\) | 11.6927 | + | 35.9865i | 0.378765 | + | 1.16572i | 0.940904 | + | 0.338675i | \(0.109979\pi\) |
−0.562139 | + | 0.827043i | \(0.690021\pi\) | |||||||
\(954\) | −1.19228 | − | 0.253427i | −0.0386015 | − | 0.00820500i | ||||
\(955\) | −1.87509 | − | 17.0308i | −0.0606764 | − | 0.551102i | ||||
\(956\) | −7.60309 | + | 1.61609i | −0.245901 | + | 0.0522680i | ||||
\(957\) | −10.9310 | + | 18.9331i | −0.353349 | + | 0.612019i | ||||
\(958\) | 2.19814 | − | 6.76517i | 0.0710186 | − | 0.218573i | ||||
\(959\) | −11.5738 | + | 27.7852i | −0.373737 | + | 0.897230i | ||||
\(960\) | 10.6139 | − | 2.31091i | 0.342563 | − | 0.0745842i | ||||
\(961\) | −23.0868 | + | 10.2789i | −0.744734 | + | 0.331577i | ||||
\(962\) | 0.960702 | + | 0.427732i | 0.0309743 | + | 0.0137906i | ||||
\(963\) | 14.4695 | + | 6.44224i | 0.466274 | + | 0.207598i | ||||
\(964\) | −37.5967 | + | 16.7391i | −1.21091 | + | 0.539131i | ||||
\(965\) | −0.856958 | − | 1.46751i | −0.0275865 | − | 0.0472408i | ||||
\(966\) | 7.99814 | − | 1.03680i | 0.257336 | − | 0.0333584i | ||||
\(967\) | −6.67273 | + | 20.5366i | −0.214581 | + | 0.660411i | 0.784603 | + | 0.619999i | \(0.212867\pi\) |
−0.999183 | + | 0.0404120i | \(0.987133\pi\) | |||||||
\(968\) | 13.9929 | − | 24.2364i | 0.449748 | − | 0.778987i | ||||
\(969\) | 8.10191 | − | 1.72211i | 0.260271 | − | 0.0553223i | ||||
\(970\) | −7.21962 | − | 7.93900i | −0.231808 | − | 0.254906i | ||||
\(971\) | −39.2425 | − | 8.34125i | −1.25935 | − | 0.267683i | −0.470573 | − | 0.882361i | \(-0.655953\pi\) |
−0.788778 | + | 0.614678i | \(0.789286\pi\) | |||||||
\(972\) | −0.575130 | − | 1.77007i | −0.0184473 | − | 0.0567749i | ||||
\(973\) | 6.75348 | − | 9.78463i | 0.216507 | − | 0.313681i | ||||
\(974\) | 6.28761 | 0.201468 | ||||||||
\(975\) | −1.07049 | + | 11.2532i | −0.0342833 | + | 0.360392i | ||||
\(976\) | −11.4645 | − | 19.8571i | −0.366969 | − | 0.635609i | ||||
\(977\) | −2.93530 | + | 27.9275i | −0.0939084 | + | 0.893479i | 0.841583 | + | 0.540128i | \(0.181624\pi\) |
−0.935491 | + | 0.353350i | \(0.885042\pi\) | |||||||
\(978\) | −4.44272 | − | 0.944329i | −0.142062 | − | 0.0301963i | ||||
\(979\) | −14.5578 | − | 44.8043i | −0.465269 | − | 1.43195i | ||||
\(980\) | 18.3114 | − | 22.6572i | 0.584937 | − | 0.723759i | ||||
\(981\) | 3.11810 | − | 9.59653i | 0.0995533 | − | 0.306394i | ||||
\(982\) | −2.94109 | + | 5.09411i | −0.0938539 | + | 0.162560i | ||||
\(983\) | 14.1773 | − | 3.01347i | 0.452184 | − | 0.0961148i | 0.0238108 | − | 0.999716i | \(-0.492420\pi\) |
0.428374 | + | 0.903602i | \(0.359087\pi\) | |||||||
\(984\) | 1.06128 | + | 0.472512i | 0.0338323 | + | 0.0150631i | ||||
\(985\) | 1.49852 | + | 4.53562i | 0.0477468 | + | 0.144517i | ||||
\(986\) | −4.73552 | − | 3.44055i | −0.150810 | − | 0.109570i | ||||
\(987\) | −5.44749 | − | 7.12862i | −0.173396 | − | 0.226906i | ||||
\(988\) | −7.11084 | + | 5.16633i | −0.226226 | + | 0.164363i | ||||
\(989\) | 87.4772 | − | 38.9474i | 2.78161 | − | 1.23845i | ||||
\(990\) | 4.19102 | − | 1.89082i | 0.133199 | − | 0.0600942i | ||||
\(991\) | 32.3481 | + | 14.4023i | 1.02757 | + | 0.457504i | 0.850100 | − | 0.526622i | \(-0.176542\pi\) |
0.177471 | + | 0.984126i | \(0.443208\pi\) | |||||||
\(992\) | −6.50959 | − | 7.22963i | −0.206680 | − | 0.229541i | ||||
\(993\) | −24.0293 | −0.762548 | ||||||||
\(994\) | 6.18616 | − | 5.84711i | 0.196213 | − | 0.185459i | ||||
\(995\) | −30.0195 | − | 51.4073i | −0.951683 | − | 1.62972i | ||||
\(996\) | 15.6438 | + | 3.32519i | 0.495692 | + | 0.105363i | ||||
\(997\) | −19.6906 | + | 21.8686i | −0.623606 | + | 0.692585i | −0.969333 | − | 0.245750i | \(-0.920966\pi\) |
0.345727 | + | 0.938335i | \(0.387632\pi\) | |||||||
\(998\) | 1.43029 | − | 13.6083i | 0.0452752 | − | 0.430764i | ||||
\(999\) | −0.624174 | + | 1.08110i | −0.0197480 | + | 0.0342045i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 525.2.bg.b.16.11 | ✓ | 160 | |
7.4 | even | 3 | inner | 525.2.bg.b.466.10 | yes | 160 | |
25.11 | even | 5 | inner | 525.2.bg.b.436.10 | yes | 160 | |
175.11 | even | 15 | inner | 525.2.bg.b.361.11 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bg.b.16.11 | ✓ | 160 | 1.1 | even | 1 | trivial | |
525.2.bg.b.361.11 | yes | 160 | 175.11 | even | 15 | inner | |
525.2.bg.b.436.10 | yes | 160 | 25.11 | even | 5 | inner | |
525.2.bg.b.466.10 | yes | 160 | 7.4 | even | 3 | inner |