Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(52,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([8, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.52");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bs (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 52.16 | ||
Character | \(\chi\) | \(=\) | 315.52 |
Dual form | 315.2.bs.e.103.16 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.565391 | − | 0.565391i | −0.399792 | − | 0.399792i | 0.478368 | − | 0.878160i | \(-0.341229\pi\) |
−0.878160 | + | 0.478368i | \(0.841229\pi\) | |||||||
\(3\) | 1.73112 | − | 0.0568332i | 0.999462 | − | 0.0328127i | ||||
\(4\) | − | 1.36066i | − | 0.680332i | ||||||
\(5\) | −2.17953 | − | 0.499648i | −0.974716 | − | 0.223449i | ||||
\(6\) | −1.01089 | − | 0.946626i | −0.412695 | − | 0.386459i | ||||
\(7\) | 1.69248 | − | 2.03359i | 0.639698 | − | 0.768626i | ||||
\(8\) | −1.90009 | + | 1.90009i | −0.671784 | + | 0.671784i | ||||
\(9\) | 2.99354 | − | 0.196770i | 0.997847 | − | 0.0655900i | ||||
\(10\) | 0.949791 | + | 1.51478i | 0.300350 | + | 0.479017i | ||||
\(11\) | −0.948764 | − | 1.64331i | −0.286063 | − | 0.495476i | 0.686803 | − | 0.726843i | \(-0.259013\pi\) |
−0.972866 | + | 0.231367i | \(0.925680\pi\) | |||||||
\(12\) | −0.0773309 | − | 2.35547i | −0.0223235 | − | 0.679966i | ||||
\(13\) | −0.0920618 | + | 0.343579i | −0.0255334 | + | 0.0952918i | −0.977517 | − | 0.210858i | \(-0.932374\pi\) |
0.951983 | + | 0.306150i | \(0.0990409\pi\) | |||||||
\(14\) | −2.10669 | + | 0.192862i | −0.563037 | + | 0.0515446i | ||||
\(15\) | −3.80142 | − | 0.741080i | −0.981523 | − | 0.191346i | ||||
\(16\) | −0.572739 | −0.143185 | ||||||||
\(17\) | −0.521621 | − | 1.94672i | −0.126512 | − | 0.472148i | 0.873377 | − | 0.487044i | \(-0.161925\pi\) |
−0.999889 | + | 0.0148962i | \(0.995258\pi\) | |||||||
\(18\) | −1.80377 | − | 1.58127i | −0.425154 | − | 0.372709i | ||||
\(19\) | −2.27028 | − | 3.93224i | −0.520838 | − | 0.902118i | −0.999706 | − | 0.0242311i | \(-0.992286\pi\) |
0.478868 | − | 0.877887i | \(-0.341047\pi\) | |||||||
\(20\) | −0.679853 | + | 2.96561i | −0.152020 | + | 0.663131i | ||||
\(21\) | 2.81431 | − | 3.61658i | 0.614133 | − | 0.789203i | ||||
\(22\) | −0.392689 | + | 1.46554i | −0.0837216 | + | 0.312453i | ||||
\(23\) | 0.348498 | + | 1.30061i | 0.0726669 | + | 0.271197i | 0.992694 | − | 0.120658i | \(-0.0385004\pi\) |
−0.920027 | + | 0.391854i | \(0.871834\pi\) | |||||||
\(24\) | −3.18129 | + | 3.39727i | −0.649379 | + | 0.693465i | ||||
\(25\) | 4.50070 | + | 2.17800i | 0.900141 | + | 0.435599i | ||||
\(26\) | 0.246308 | − | 0.142206i | 0.0483049 | − | 0.0278889i | ||||
\(27\) | 5.17099 | − | 0.510764i | 0.995157 | − | 0.0982967i | ||||
\(28\) | −2.76704 | − | 2.30290i | −0.522922 | − | 0.435207i | ||||
\(29\) | 2.25903 | + | 1.30425i | 0.419492 | + | 0.242194i | 0.694860 | − | 0.719145i | \(-0.255466\pi\) |
−0.275368 | + | 0.961339i | \(0.588800\pi\) | |||||||
\(30\) | 1.73029 | + | 2.56829i | 0.315906 | + | 0.468904i | ||||
\(31\) | 4.04522i | 0.726543i | 0.931683 | + | 0.363271i | \(0.118340\pi\) | ||||
−0.931683 | + | 0.363271i | \(0.881660\pi\) | |||||||
\(32\) | 4.12400 | + | 4.12400i | 0.729028 | + | 0.729028i | ||||
\(33\) | −1.73582 | − | 2.79084i | −0.302167 | − | 0.485823i | ||||
\(34\) | −0.805736 | + | 1.39558i | −0.138183 | + | 0.239339i | ||||
\(35\) | −4.70490 | + | 3.58664i | −0.795273 | + | 0.606252i | ||||
\(36\) | −0.267738 | − | 4.07320i | −0.0446230 | − | 0.678867i | ||||
\(37\) | 2.17042 | − | 8.10011i | 0.356814 | − | 1.33165i | −0.521371 | − | 0.853330i | \(-0.674579\pi\) |
0.878186 | − | 0.478320i | \(-0.158754\pi\) | |||||||
\(38\) | −0.939658 | + | 3.50685i | −0.152433 | + | 0.568886i | ||||
\(39\) | −0.139843 | + | 0.600009i | −0.0223928 | + | 0.0960783i | ||||
\(40\) | 5.09068 | − | 3.19193i | 0.804908 | − | 0.504688i | ||||
\(41\) | 0.370817 | − | 0.214091i | 0.0579119 | − | 0.0334354i | −0.470764 | − | 0.882259i | \(-0.656022\pi\) |
0.528676 | + | 0.848823i | \(0.322689\pi\) | |||||||
\(42\) | −3.63597 | + | 0.453597i | −0.561043 | + | 0.0699916i | ||||
\(43\) | 2.17129 | + | 8.10338i | 0.331119 | + | 1.23575i | 0.908015 | + | 0.418937i | \(0.137597\pi\) |
−0.576896 | + | 0.816818i | \(0.695736\pi\) | |||||||
\(44\) | −2.23599 | + | 1.29095i | −0.337088 | + | 0.194618i | ||||
\(45\) | −6.62283 | − | 1.06685i | −0.987273 | − | 0.159037i | ||||
\(46\) | 0.538318 | − | 0.932394i | 0.0793706 | − | 0.137474i | ||||
\(47\) | 5.74894 | − | 5.74894i | 0.838570 | − | 0.838570i | −0.150101 | − | 0.988671i | \(-0.547960\pi\) |
0.988671 | + | 0.150101i | \(0.0479598\pi\) | |||||||
\(48\) | −0.991479 | + | 0.0325506i | −0.143108 | + | 0.00469827i | ||||
\(49\) | −1.27101 | − | 6.88364i | −0.181573 | − | 0.983377i | ||||
\(50\) | −1.31324 | − | 3.77608i | −0.185720 | − | 0.534018i | ||||
\(51\) | −1.01363 | − | 3.34035i | −0.141936 | − | 0.467742i | ||||
\(52\) | 0.467496 | + | 0.125265i | 0.0648301 | + | 0.0173712i | ||||
\(53\) | 2.26746 | + | 8.46228i | 0.311460 | + | 1.16238i | 0.927241 | + | 0.374466i | \(0.122174\pi\) |
−0.615781 | + | 0.787917i | \(0.711159\pi\) | |||||||
\(54\) | −3.21241 | − | 2.63485i | −0.437154 | − | 0.358558i | ||||
\(55\) | 1.24678 | + | 4.05569i | 0.168116 | + | 0.546869i | ||||
\(56\) | 0.648146 | + | 7.07988i | 0.0866121 | + | 0.946089i | ||||
\(57\) | −4.15360 | − | 6.67814i | −0.550158 | − | 0.884542i | ||||
\(58\) | −0.539825 | − | 2.01465i | −0.0708824 | − | 0.264537i | ||||
\(59\) | −7.41994 | −0.965994 | −0.482997 | − | 0.875622i | \(-0.660452\pi\) | ||||
−0.482997 | + | 0.875622i | \(0.660452\pi\) | |||||||
\(60\) | −1.00836 | + | 5.17246i | −0.130179 | + | 0.667762i | ||||
\(61\) | 4.69334i | 0.600920i | 0.953794 | + | 0.300460i | \(0.0971402\pi\) | ||||
−0.953794 | + | 0.300460i | \(0.902860\pi\) | |||||||
\(62\) | 2.28713 | − | 2.28713i | 0.290466 | − | 0.290466i | ||||
\(63\) | 4.66636 | − | 6.42068i | 0.587906 | − | 0.808929i | ||||
\(64\) | − | 3.51788i | − | 0.439734i | ||||||
\(65\) | 0.372320 | − | 0.702843i | 0.0461807 | − | 0.0871770i | ||||
\(66\) | −0.596500 | + | 2.55933i | −0.0734241 | + | 0.315032i | ||||
\(67\) | 10.4358 | + | 10.4358i | 1.27493 | + | 1.27493i | 0.943468 | + | 0.331463i | \(0.107542\pi\) |
0.331463 | + | 0.943468i | \(0.392458\pi\) | |||||||
\(68\) | −2.64883 | + | 0.709751i | −0.321217 | + | 0.0860700i | ||||
\(69\) | 0.677210 | + | 2.23171i | 0.0815265 | + | 0.268666i | ||||
\(70\) | 4.68796 | + | 0.632255i | 0.560319 | + | 0.0755689i | ||||
\(71\) | −3.22107 | −0.382270 | −0.191135 | − | 0.981564i | \(-0.561217\pi\) | ||||
−0.191135 | + | 0.981564i | \(0.561217\pi\) | |||||||
\(72\) | −5.31412 | + | 6.06188i | −0.626275 | + | 0.714399i | ||||
\(73\) | 9.02450 | − | 2.41811i | 1.05624 | − | 0.283018i | 0.311411 | − | 0.950275i | \(-0.399199\pi\) |
0.744827 | + | 0.667257i | \(0.232532\pi\) | |||||||
\(74\) | −5.80687 | + | 3.35260i | −0.675035 | + | 0.389731i | ||||
\(75\) | 7.91503 | + | 3.51458i | 0.913949 | + | 0.405829i | ||||
\(76\) | −5.35046 | + | 3.08909i | −0.613740 | + | 0.354343i | ||||
\(77\) | −4.94759 | − | 0.851867i | −0.563830 | − | 0.0970792i | ||||
\(78\) | 0.418306 | − | 0.260174i | 0.0473638 | − | 0.0294589i | ||||
\(79\) | 10.1359i | 1.14037i | 0.821515 | + | 0.570187i | \(0.193129\pi\) | ||||
−0.821515 | + | 0.570187i | \(0.806871\pi\) | |||||||
\(80\) | 1.24830 | + | 0.286168i | 0.139564 | + | 0.0319945i | ||||
\(81\) | 8.92256 | − | 1.17808i | 0.991396 | − | 0.130897i | ||||
\(82\) | −0.330702 | − | 0.0886114i | −0.0365199 | − | 0.00978549i | ||||
\(83\) | 16.8213 | − | 4.50725i | 1.84637 | − | 0.494735i | 0.847051 | − | 0.531512i | \(-0.178376\pi\) |
0.999323 | + | 0.0367774i | \(0.0117092\pi\) | |||||||
\(84\) | −4.92096 | − | 3.82933i | −0.536920 | − | 0.417814i | ||||
\(85\) | 0.164216 | + | 4.50355i | 0.0178117 | + | 0.488479i | ||||
\(86\) | 3.35395 | − | 5.80922i | 0.361666 | − | 0.626424i | ||||
\(87\) | 3.98478 | + | 2.12943i | 0.427213 | + | 0.228299i | ||||
\(88\) | 4.92517 | + | 1.31970i | 0.525025 | + | 0.140680i | ||||
\(89\) | −0.865525 | − | 1.49913i | −0.0917455 | − | 0.158908i | 0.816500 | − | 0.577345i | \(-0.195911\pi\) |
−0.908246 | + | 0.418437i | \(0.862578\pi\) | |||||||
\(90\) | 3.14130 | + | 4.34768i | 0.331122 | + | 0.458285i | ||||
\(91\) | 0.542888 | + | 0.768718i | 0.0569102 | + | 0.0805836i | ||||
\(92\) | 1.76970 | − | 0.474189i | 0.184504 | − | 0.0494377i | ||||
\(93\) | 0.229903 | + | 7.00275i | 0.0238398 | + | 0.726152i | ||||
\(94\) | −6.50081 | −0.670507 | ||||||||
\(95\) | 2.98341 | + | 9.70478i | 0.306091 | + | 0.995689i | ||||
\(96\) | 7.37352 | + | 6.90476i | 0.752557 | + | 0.704714i | ||||
\(97\) | 1.69801 | + | 6.33706i | 0.172407 | + | 0.643431i | 0.996979 | + | 0.0776741i | \(0.0247494\pi\) |
−0.824572 | + | 0.565757i | \(0.808584\pi\) | |||||||
\(98\) | −3.17333 | + | 4.61057i | −0.320555 | + | 0.465738i | ||||
\(99\) | −3.16352 | − | 4.73262i | −0.317945 | − | 0.475646i | ||||
\(100\) | 2.96352 | − | 6.12395i | 0.296352 | − | 0.612395i | ||||
\(101\) | −14.8374 | + | 8.56641i | −1.47638 | + | 0.852389i | −0.999645 | − | 0.0266569i | \(-0.991514\pi\) |
−0.476737 | + | 0.879046i | \(0.658180\pi\) | |||||||
\(102\) | −1.31551 | + | 2.46170i | −0.130255 | + | 0.243745i | ||||
\(103\) | −15.3296 | + | 4.10756i | −1.51047 | + | 0.404729i | −0.916592 | − | 0.399825i | \(-0.869071\pi\) |
−0.593879 | + | 0.804554i | \(0.702404\pi\) | |||||||
\(104\) | −0.477906 | − | 0.827758i | −0.0468626 | − | 0.0811684i | ||||
\(105\) | −7.94089 | + | 6.47628i | −0.774952 | + | 0.632021i | ||||
\(106\) | 3.50250 | − | 6.06650i | 0.340193 | − | 0.589231i | ||||
\(107\) | −1.14381 | + | 4.26877i | −0.110577 | + | 0.412677i | −0.998918 | − | 0.0465063i | \(-0.985191\pi\) |
0.888341 | + | 0.459183i | \(0.151858\pi\) | |||||||
\(108\) | −0.694979 | − | 7.03598i | −0.0668744 | − | 0.677038i | ||||
\(109\) | −5.17609 | − | 2.98842i | −0.495779 | − | 0.286238i | 0.231190 | − | 0.972909i | \(-0.425738\pi\) |
−0.726969 | + | 0.686670i | \(0.759072\pi\) | |||||||
\(110\) | 1.58813 | − | 2.99797i | 0.151422 | − | 0.285845i | ||||
\(111\) | 3.29689 | − | 14.1456i | 0.312927 | − | 1.34264i | ||||
\(112\) | −0.969350 | + | 1.16472i | −0.0915950 | + | 0.110056i | ||||
\(113\) | 18.3555 | + | 4.91835i | 1.72674 | + | 0.462679i | 0.979429 | − | 0.201791i | \(-0.0646761\pi\) |
0.747315 | + | 0.664470i | \(0.231343\pi\) | |||||||
\(114\) | −1.42735 | + | 6.12418i | −0.133684 | + | 0.573582i | ||||
\(115\) | −0.109714 | − | 3.00885i | −0.0102309 | − | 0.280577i | ||||
\(116\) | 1.77465 | − | 3.07379i | 0.164772 | − | 0.285394i | ||||
\(117\) | −0.207985 | + | 1.04663i | −0.0192282 | + | 0.0967613i | ||||
\(118\) | 4.19517 | + | 4.19517i | 0.386197 | + | 0.386197i | ||||
\(119\) | −4.84166 | − | 2.23401i | −0.443835 | − | 0.204792i | ||||
\(120\) | 8.63117 | − | 5.81493i | 0.787914 | − | 0.530828i | ||||
\(121\) | 3.69969 | − | 6.40806i | 0.336336 | − | 0.582551i | ||||
\(122\) | 2.65357 | − | 2.65357i | 0.240243 | − | 0.240243i | ||||
\(123\) | 0.629761 | − | 0.391692i | 0.0567836 | − | 0.0353177i | ||||
\(124\) | 5.50419 | 0.494291 | ||||||||
\(125\) | −8.72119 | − | 6.99577i | −0.780047 | − | 0.625721i | ||||
\(126\) | −6.26852 | + | 0.991875i | −0.558444 | + | 0.0883632i | ||||
\(127\) | −5.71266 | − | 5.71266i | −0.506917 | − | 0.506917i | 0.406662 | − | 0.913579i | \(-0.366693\pi\) |
−0.913579 | + | 0.406662i | \(0.866693\pi\) | |||||||
\(128\) | 6.25903 | − | 6.25903i | 0.553225 | − | 0.553225i | ||||
\(129\) | 4.21931 | + | 13.9045i | 0.371489 | + | 1.22422i | ||||
\(130\) | −0.607888 | + | 0.186875i | −0.0533153 | + | 0.0163900i | ||||
\(131\) | −8.45569 | − | 4.88189i | −0.738777 | − | 0.426533i | 0.0828477 | − | 0.996562i | \(-0.473599\pi\) |
−0.821624 | + | 0.570029i | \(0.806932\pi\) | |||||||
\(132\) | −3.79740 | + | 2.36187i | −0.330521 | + | 0.205574i | ||||
\(133\) | −11.8390 | − | 2.03842i | −1.02657 | − | 0.176753i | ||||
\(134\) | − | 11.8006i | − | 1.01941i | ||||||
\(135\) | −11.5255 | − | 1.47045i | −0.991959 | − | 0.126556i | ||||
\(136\) | 4.69006 | + | 2.70781i | 0.402170 | + | 0.232193i | ||||
\(137\) | 4.85048 | − | 18.1023i | 0.414405 | − | 1.54658i | −0.371620 | − | 0.928385i | \(-0.621198\pi\) |
0.786025 | − | 0.618195i | \(-0.212136\pi\) | |||||||
\(138\) | 0.878901 | − | 1.64468i | 0.0748170 | − | 0.140004i | ||||
\(139\) | −1.20016 | − | 2.07873i | −0.101796 | − | 0.176316i | 0.810629 | − | 0.585561i | \(-0.199126\pi\) |
−0.912425 | + | 0.409245i | \(0.865792\pi\) | |||||||
\(140\) | 4.88021 | + | 6.40179i | 0.412453 | + | 0.541050i | ||||
\(141\) | 9.62537 | − | 10.2788i | 0.810603 | − | 0.865634i | ||||
\(142\) | 1.82116 | + | 1.82116i | 0.152829 | + | 0.152829i | ||||
\(143\) | 0.651952 | − | 0.174690i | 0.0545189 | − | 0.0146083i | ||||
\(144\) | −1.71452 | + | 0.112698i | −0.142876 | + | 0.00939148i | ||||
\(145\) | −4.27196 | − | 3.97138i | −0.354767 | − | 0.329805i | ||||
\(146\) | −6.46955 | − | 3.73520i | −0.535424 | − | 0.309127i | ||||
\(147\) | −2.59149 | − | 11.8442i | −0.213743 | − | 0.976890i | ||||
\(148\) | −11.0215 | − | 2.95321i | −0.905964 | − | 0.242752i | ||||
\(149\) | 3.59293 | + | 2.07438i | 0.294344 | + | 0.169940i | 0.639899 | − | 0.768459i | \(-0.278976\pi\) |
−0.345555 | + | 0.938398i | \(0.612309\pi\) | |||||||
\(150\) | −2.48798 | − | 6.46220i | −0.203143 | − | 0.527637i | ||||
\(151\) | −7.78315 | − | 13.4808i | −0.633384 | − | 1.09705i | −0.986855 | − | 0.161608i | \(-0.948332\pi\) |
0.353471 | − | 0.935445i | \(-0.385001\pi\) | |||||||
\(152\) | 11.7854 | + | 3.15788i | 0.955918 | + | 0.256138i | ||||
\(153\) | −1.94455 | − | 5.72493i | −0.157207 | − | 0.462833i | ||||
\(154\) | 2.31569 | + | 3.27896i | 0.186603 | + | 0.264226i | ||||
\(155\) | 2.02119 | − | 8.81668i | 0.162346 | − | 0.708173i | ||||
\(156\) | 0.816411 | + | 0.190280i | 0.0653652 | + | 0.0152346i | ||||
\(157\) | −14.7560 | + | 14.7560i | −1.17766 | + | 1.17766i | −0.197317 | + | 0.980340i | \(0.563223\pi\) |
−0.980340 | + | 0.197317i | \(0.936777\pi\) | |||||||
\(158\) | 5.73073 | − | 5.73073i | 0.455913 | − | 0.455913i | ||||
\(159\) | 4.40618 | + | 14.5203i | 0.349433 | + | 1.15154i | ||||
\(160\) | −6.92784 | − | 11.0489i | −0.547694 | − | 0.873496i | ||||
\(161\) | 3.23475 | + | 1.49256i | 0.254934 | + | 0.117630i | ||||
\(162\) | −5.71082 | − | 4.37867i | −0.448684 | − | 0.344021i | ||||
\(163\) | −12.4502 | − | 3.33601i | −0.975172 | − | 0.261296i | −0.264162 | − | 0.964478i | \(-0.585095\pi\) |
−0.711010 | + | 0.703182i | \(0.751762\pi\) | |||||||
\(164\) | −0.291307 | − | 0.504558i | −0.0227472 | − | 0.0393993i | ||||
\(165\) | 2.38883 | + | 6.95001i | 0.185970 | + | 0.541058i | ||||
\(166\) | −12.0590 | − | 6.96224i | −0.935957 | − | 0.540375i | ||||
\(167\) | −8.51613 | − | 2.28189i | −0.658998 | − | 0.176578i | −0.0862041 | − | 0.996277i | \(-0.527474\pi\) |
−0.572794 | + | 0.819700i | \(0.694140\pi\) | |||||||
\(168\) | 1.52439 | + | 12.2193i | 0.117609 | + | 0.942738i | ||||
\(169\) | 11.1488 | + | 6.43674i | 0.857597 | + | 0.495134i | ||||
\(170\) | 2.45342 | − | 2.63912i | 0.188169 | − | 0.202411i | ||||
\(171\) | −7.56992 | − | 11.3246i | −0.578886 | − | 0.866013i | ||||
\(172\) | 11.0260 | − | 2.95440i | 0.840724 | − | 0.225271i | ||||
\(173\) | −16.2398 | − | 16.2398i | −1.23469 | − | 1.23469i | −0.962142 | − | 0.272548i | \(-0.912134\pi\) |
−0.272548 | − | 0.962142i | \(-0.587866\pi\) | |||||||
\(174\) | −1.04900 | − | 3.45692i | −0.0795244 | − | 0.262069i | ||||
\(175\) | 12.0465 | − | 5.46639i | 0.910631 | − | 0.413220i | ||||
\(176\) | 0.543394 | + | 0.941186i | 0.0409599 | + | 0.0709446i | ||||
\(177\) | −12.8448 | + | 0.421699i | −0.965474 | + | 0.0316968i | ||||
\(178\) | −0.358237 | + | 1.33696i | −0.0268510 | + | 0.100209i | ||||
\(179\) | −5.47867 | − | 3.16311i | −0.409495 | − | 0.236422i | 0.281078 | − | 0.959685i | \(-0.409308\pi\) |
−0.690573 | + | 0.723263i | \(0.742641\pi\) | |||||||
\(180\) | −1.45163 | + | 9.01145i | −0.108198 | + | 0.671674i | ||||
\(181\) | 19.4981i | 1.44928i | 0.689128 | + | 0.724640i | \(0.257994\pi\) | ||||
−0.689128 | + | 0.724640i | \(0.742006\pi\) | |||||||
\(182\) | 0.127682 | − | 0.741571i | 0.00946445 | − | 0.0549689i | ||||
\(183\) | 0.266737 | + | 8.12472i | 0.0197178 | + | 0.600597i | ||||
\(184\) | −3.13346 | − | 1.80911i | −0.231002 | − | 0.133369i | ||||
\(185\) | −8.77769 | + | 16.5700i | −0.645349 | + | 1.21825i | ||||
\(186\) | 3.82931 | − | 4.08928i | 0.280779 | − | 0.299841i | ||||
\(187\) | −2.70416 | + | 2.70416i | −0.197748 | + | 0.197748i | ||||
\(188\) | −7.82239 | − | 7.82239i | −0.570506 | − | 0.570506i | ||||
\(189\) | 7.71311 | − | 11.3802i | 0.561047 | − | 0.827784i | ||||
\(190\) | 3.80020 | − | 7.17379i | 0.275696 | − | 0.520442i | ||||
\(191\) | 22.2730 | 1.61162 | 0.805809 | − | 0.592176i | \(-0.201731\pi\) | ||||
0.805809 | + | 0.592176i | \(0.201731\pi\) | |||||||
\(192\) | −0.199932 | − | 6.08986i | −0.0144289 | − | 0.439498i | ||||
\(193\) | −6.69608 | + | 6.69608i | −0.481994 | + | 0.481994i | −0.905768 | − | 0.423774i | \(-0.860705\pi\) |
0.423774 | + | 0.905768i | \(0.360705\pi\) | |||||||
\(194\) | 2.62288 | − | 4.54296i | 0.188312 | − | 0.326166i | ||||
\(195\) | 0.604586 | − | 1.23786i | 0.0432953 | − | 0.0886453i | ||||
\(196\) | −9.36633 | + | 1.72942i | −0.669024 | + | 0.123530i | ||||
\(197\) | 3.48413 | + | 3.48413i | 0.248234 | + | 0.248234i | 0.820245 | − | 0.572012i | \(-0.193837\pi\) |
−0.572012 | + | 0.820245i | \(0.693837\pi\) | |||||||
\(198\) | −0.887157 | + | 4.46441i | −0.0630475 | + | 0.317272i | ||||
\(199\) | 0.232271 | − | 0.402305i | 0.0164653 | − | 0.0285187i | −0.857675 | − | 0.514192i | \(-0.828092\pi\) |
0.874141 | + | 0.485673i | \(0.161425\pi\) | |||||||
\(200\) | −12.6901 | + | 4.41336i | −0.897328 | + | 0.312072i | ||||
\(201\) | 18.6586 | + | 17.4724i | 1.31608 | + | 1.23241i | ||||
\(202\) | 13.2323 | + | 3.54559i | 0.931024 | + | 0.249467i | ||||
\(203\) | 6.47570 | − | 2.38653i | 0.454505 | − | 0.167502i | ||||
\(204\) | −4.54510 | + | 1.37920i | −0.318220 | + | 0.0965636i | ||||
\(205\) | −0.915177 | + | 0.281340i | −0.0639187 | + | 0.0196497i | ||||
\(206\) | 10.9896 | + | 6.34485i | 0.765682 | + | 0.442067i | ||||
\(207\) | 1.29917 | + | 3.82486i | 0.0902982 | + | 0.265846i | ||||
\(208\) | 0.0527274 | − | 0.196781i | 0.00365599 | − | 0.0136443i | ||||
\(209\) | −4.30792 | + | 7.46154i | −0.297985 | + | 0.516125i | ||||
\(210\) | 8.15135 | + | 0.828076i | 0.562496 | + | 0.0571427i | ||||
\(211\) | −11.0638 | − | 19.1630i | −0.761663 | − | 1.31924i | −0.941993 | − | 0.335632i | \(-0.891050\pi\) |
0.180331 | − | 0.983606i | \(-0.442283\pi\) | |||||||
\(212\) | 11.5143 | − | 3.08525i | 0.790807 | − | 0.211896i | ||||
\(213\) | −5.57605 | + | 0.183063i | −0.382064 | + | 0.0125433i | ||||
\(214\) | 3.06023 | − | 1.76682i | 0.209193 | − | 0.120777i | ||||
\(215\) | −0.683564 | − | 18.7465i | −0.0466187 | − | 1.27850i | ||||
\(216\) | −8.85485 | + | 10.7958i | −0.602496 | + | 0.734564i | ||||
\(217\) | 8.22634 | + | 6.84646i | 0.558440 | + | 0.464768i | ||||
\(218\) | 1.23689 | + | 4.61614i | 0.0837728 | + | 0.312644i | ||||
\(219\) | 15.4850 | − | 4.69892i | 1.04638 | − | 0.317524i | ||||
\(220\) | 5.51843 | − | 1.69646i | 0.372053 | − | 0.114375i | ||||
\(221\) | 0.716873 | 0.0482221 | ||||||||
\(222\) | −9.86183 | + | 6.13376i | −0.661883 | + | 0.411671i | ||||
\(223\) | −2.04042 | + | 0.546729i | −0.136637 | + | 0.0366116i | −0.326489 | − | 0.945201i | \(-0.605866\pi\) |
0.189853 | + | 0.981813i | \(0.439199\pi\) | |||||||
\(224\) | 15.3664 | − | 1.40675i | 1.02671 | − | 0.0939925i | ||||
\(225\) | 13.9016 | + | 5.63431i | 0.926773 | + | 0.375621i | ||||
\(226\) | −7.59727 | − | 13.1589i | −0.505363 | − | 0.875314i | ||||
\(227\) | −2.21109 | − | 0.592460i | −0.146755 | − | 0.0393229i | 0.184694 | − | 0.982796i | \(-0.440871\pi\) |
−0.331449 | + | 0.943473i | \(0.607537\pi\) | |||||||
\(228\) | −9.08672 | + | 5.65166i | −0.601783 | + | 0.374291i | ||||
\(229\) | 0.0658670 | − | 0.114085i | 0.00435262 | − | 0.00753895i | −0.863841 | − | 0.503765i | \(-0.831948\pi\) |
0.868194 | + | 0.496226i | \(0.165281\pi\) | |||||||
\(230\) | −1.63915 | + | 1.76321i | −0.108082 | + | 0.116263i | ||||
\(231\) | −8.61327 | − | 1.19349i | −0.566712 | − | 0.0785262i | ||||
\(232\) | −6.77057 | + | 1.81417i | −0.444510 | + | 0.119106i | ||||
\(233\) | 7.31550 | + | 1.96018i | 0.479254 | + | 0.128416i | 0.490355 | − | 0.871523i | \(-0.336867\pi\) |
−0.0111012 | + | 0.999938i | \(0.503534\pi\) | |||||||
\(234\) | 0.709351 | − | 0.474165i | 0.0463717 | − | 0.0309971i | ||||
\(235\) | −15.4024 | + | 9.65755i | −1.00474 | + | 0.629989i | ||||
\(236\) | 10.0960i | 0.657197i | ||||||||
\(237\) | 0.576054 | + | 17.5464i | 0.0374187 | + | 1.13976i | ||||
\(238\) | 1.47434 | + | 4.00053i | 0.0955674 | + | 0.259316i | ||||
\(239\) | 7.82313 | − | 4.51669i | 0.506036 | − | 0.292160i | −0.225167 | − | 0.974320i | \(-0.572293\pi\) |
0.731203 | + | 0.682160i | \(0.238959\pi\) | |||||||
\(240\) | 2.17722 | + | 0.424445i | 0.140539 | + | 0.0273978i | ||||
\(241\) | 13.9256 | − | 8.03997i | 0.897029 | − | 0.517900i | 0.0207939 | − | 0.999784i | \(-0.493381\pi\) |
0.876235 | + | 0.481884i | \(0.160047\pi\) | |||||||
\(242\) | −5.71484 | + | 1.53129i | −0.367364 | + | 0.0984348i | ||||
\(243\) | 15.3791 | − | 2.54649i | 0.986567 | − | 0.163357i | ||||
\(244\) | 6.38606 | 0.408826 | ||||||||
\(245\) | −0.669188 | + | 15.6382i | −0.0427528 | + | 0.999086i | ||||
\(246\) | −0.577521 | − | 0.134602i | −0.0368214 | − | 0.00858190i | ||||
\(247\) | 1.56004 | − | 0.418012i | 0.0992632 | − | 0.0265975i | ||||
\(248\) | −7.68629 | − | 7.68629i | −0.488080 | − | 0.488080i | ||||
\(249\) | 28.8634 | − | 8.75858i | 1.82915 | − | 0.555053i | ||||
\(250\) | 0.975534 | + | 8.88624i | 0.0616982 | + | 0.562015i | ||||
\(251\) | − | 11.2568i | − | 0.710521i | −0.934767 | − | 0.355260i | \(-0.884392\pi\) | ||
0.934767 | − | 0.355260i | \(-0.115608\pi\) | |||||||
\(252\) | −8.73639 | − | 6.34935i | −0.550341 | − | 0.399972i | ||||
\(253\) | 1.80667 | − | 1.80667i | 0.113584 | − | 0.113584i | ||||
\(254\) | 6.45978i | 0.405323i | ||||||||
\(255\) | 0.540228 | + | 7.78685i | 0.0338304 | + | 0.487631i | ||||
\(256\) | −14.1134 | −0.882085 | ||||||||
\(257\) | −1.46450 | − | 5.46560i | −0.0913531 | − | 0.340935i | 0.905088 | − | 0.425224i | \(-0.139805\pi\) |
−0.996441 | + | 0.0842894i | \(0.973138\pi\) | |||||||
\(258\) | 5.47593 | − | 10.2471i | 0.340917 | − | 0.637954i | ||||
\(259\) | −12.7989 | − | 18.1230i | −0.795288 | − | 1.12611i | ||||
\(260\) | −0.956334 | − | 0.506603i | −0.0593093 | − | 0.0314182i | ||||
\(261\) | 7.01915 | + | 3.45983i | 0.434474 | + | 0.214158i | ||||
\(262\) | 2.02059 | + | 7.54095i | 0.124833 | + | 0.465882i | ||||
\(263\) | 2.35507 | + | 0.631038i | 0.145220 | + | 0.0389115i | 0.330697 | − | 0.943737i | \(-0.392716\pi\) |
−0.185477 | + | 0.982649i | \(0.559383\pi\) | |||||||
\(264\) | 8.60106 | + | 2.00464i | 0.529359 | + | 0.123377i | ||||
\(265\) | −0.713839 | − | 19.5767i | −0.0438508 | − | 1.20259i | ||||
\(266\) | 5.54116 | + | 7.84617i | 0.339750 | + | 0.481079i | ||||
\(267\) | −1.58353 | − | 2.54599i | −0.0969103 | − | 0.155812i | ||||
\(268\) | 14.1996 | − | 14.1996i | 0.867377 | − | 0.867377i | ||||
\(269\) | −2.87950 | + | 4.98744i | −0.175566 | + | 0.304090i | −0.940357 | − | 0.340189i | \(-0.889509\pi\) |
0.764791 | + | 0.644279i | \(0.222842\pi\) | |||||||
\(270\) | 5.68506 | + | 7.34781i | 0.345982 | + | 0.447174i | ||||
\(271\) | −22.3773 | + | 12.9196i | −1.35933 | + | 0.784808i | −0.989533 | − | 0.144306i | \(-0.953905\pi\) |
−0.369793 | + | 0.929114i | \(0.620572\pi\) | |||||||
\(272\) | 0.298753 | + | 1.11496i | 0.0181145 | + | 0.0676044i | ||||
\(273\) | 0.983492 | + | 1.29989i | 0.0595237 | + | 0.0786728i | ||||
\(274\) | −12.9773 | + | 7.49244i | −0.783986 | + | 0.452635i | ||||
\(275\) | −0.690989 | − | 9.46245i | −0.0416682 | − | 0.570607i | ||||
\(276\) | 3.03661 | − | 0.921456i | 0.182782 | − | 0.0554651i | ||||
\(277\) | −4.40404 | + | 16.4361i | −0.264613 | + | 0.987550i | 0.697873 | + | 0.716221i | \(0.254130\pi\) |
−0.962487 | + | 0.271329i | \(0.912537\pi\) | |||||||
\(278\) | −0.496739 | + | 1.85386i | −0.0297924 | + | 0.111187i | ||||
\(279\) | 0.795978 | + | 12.1095i | 0.0476539 | + | 0.724978i | ||||
\(280\) | 2.12480 | − | 15.7547i | 0.126981 | − | 0.941521i | ||||
\(281\) | −16.1409 | + | 27.9568i | −0.962884 | + | 1.66776i | −0.247688 | + | 0.968840i | \(0.579671\pi\) |
−0.715196 | + | 0.698924i | \(0.753663\pi\) | |||||||
\(282\) | −11.2537 | + | 0.369462i | −0.670146 | + | 0.0220011i | ||||
\(283\) | −0.866870 | − | 0.866870i | −0.0515300 | − | 0.0515300i | 0.680872 | − | 0.732402i | \(-0.261601\pi\) |
−0.732402 | + | 0.680872i | \(0.761601\pi\) | |||||||
\(284\) | 4.38279i | 0.260071i | ||||||||
\(285\) | 5.71618 | + | 16.6306i | 0.338598 | + | 0.985109i | ||||
\(286\) | −0.467376 | − | 0.269840i | −0.0276365 | − | 0.0159560i | ||||
\(287\) | 0.192226 | − | 1.11644i | 0.0113467 | − | 0.0659012i | ||||
\(288\) | 13.1569 | + | 11.5339i | 0.775275 | + | 0.679641i | ||||
\(289\) | 11.2048 | − | 6.46911i | 0.659107 | − | 0.380536i | ||||
\(290\) | 0.169947 | + | 4.66072i | 0.00997962 | + | 0.273687i | ||||
\(291\) | 3.29961 | + | 10.8737i | 0.193427 | + | 0.637428i | ||||
\(292\) | −3.29023 | − | 12.2793i | −0.192546 | − | 0.718593i | ||||
\(293\) | −1.51599 | + | 5.65776i | −0.0885653 | + | 0.330530i | −0.995965 | − | 0.0897376i | \(-0.971397\pi\) |
0.907400 | + | 0.420268i | \(0.138064\pi\) | |||||||
\(294\) | −5.23138 | + | 8.16180i | −0.305100 | + | 0.476006i | ||||
\(295\) | 16.1720 | + | 3.70736i | 0.941569 | + | 0.215851i | ||||
\(296\) | 11.2670 | + | 19.5149i | 0.654878 | + | 1.13428i | ||||
\(297\) | −5.74539 | − | 8.01293i | −0.333381 | − | 0.464957i | ||||
\(298\) | −0.858575 | − | 3.20424i | −0.0497359 | − | 0.185617i | ||||
\(299\) | −0.478947 | −0.0276982 | ||||||||
\(300\) | 4.78216 | − | 10.7697i | 0.276098 | − | 0.621789i | ||||
\(301\) | 20.1539 | + | 9.29929i | 1.16165 | + | 0.536002i | ||||
\(302\) | −3.22141 | + | 12.0225i | −0.185371 | + | 0.691815i | ||||
\(303\) | −25.1985 | + | 15.6727i | −1.44762 | + | 0.900374i | ||||
\(304\) | 1.30028 | + | 2.25215i | 0.0745760 | + | 0.129169i | ||||
\(305\) | 2.34502 | − | 10.2293i | 0.134275 | − | 0.585726i | ||||
\(306\) | −2.13740 | + | 4.33626i | −0.122187 | + | 0.247887i | ||||
\(307\) | −3.77724 | + | 3.77724i | −0.215578 | + | 0.215578i | −0.806632 | − | 0.591054i | \(-0.798712\pi\) |
0.591054 | + | 0.806632i | \(0.298712\pi\) | |||||||
\(308\) | −1.15910 | + | 6.73201i | −0.0660461 | + | 0.383592i | ||||
\(309\) | −26.3039 | + | 7.98189i | −1.49638 | + | 0.454074i | ||||
\(310\) | −6.12764 | + | 3.84211i | −0.348026 | + | 0.218217i | ||||
\(311\) | − | 20.9633i | − | 1.18872i | −0.804200 | − | 0.594359i | \(-0.797406\pi\) | ||
0.804200 | − | 0.594359i | \(-0.202594\pi\) | |||||||
\(312\) | −0.874357 | − | 1.40579i | −0.0495007 | − | 0.0795870i | ||||
\(313\) | −8.80999 | − | 8.80999i | −0.497970 | − | 0.497970i | 0.412835 | − | 0.910806i | \(-0.364538\pi\) |
−0.910806 | + | 0.412835i | \(0.864538\pi\) | |||||||
\(314\) | 16.6858 | 0.941636 | ||||||||
\(315\) | −13.3786 | + | 11.6625i | −0.753796 | + | 0.657108i | ||||
\(316\) | 13.7915 | 0.775834 | ||||||||
\(317\) | 10.4508 | + | 10.4508i | 0.586975 | + | 0.586975i | 0.936811 | − | 0.349836i | \(-0.113763\pi\) |
−0.349836 | + | 0.936811i | \(0.613763\pi\) | |||||||
\(318\) | 5.71846 | − | 10.7009i | 0.320675 | − | 0.600076i | ||||
\(319\) | − | 4.94972i | − | 0.277131i | ||||||
\(320\) | −1.75770 | + | 7.66732i | −0.0982584 | + | 0.428616i | ||||
\(321\) | −1.73747 | + | 7.45474i | −0.0969759 | + | 0.416083i | ||||
\(322\) | −0.985018 | − | 2.67278i | −0.0548929 | − | 0.148948i | ||||
\(323\) | −6.47073 | + | 6.47073i | −0.360041 | + | 0.360041i | ||||
\(324\) | −1.60297 | − | 12.1406i | −0.0890538 | − | 0.674479i | ||||
\(325\) | −1.16266 | + | 1.34584i | −0.0644926 | + | 0.0746537i | ||||
\(326\) | 5.15306 | + | 8.92537i | 0.285402 | + | 0.494330i | ||||
\(327\) | −9.13026 | − | 4.87913i | −0.504904 | − | 0.269816i | ||||
\(328\) | −0.297793 | + | 1.11138i | −0.0164429 | + | 0.0613656i | ||||
\(329\) | −1.96104 | − | 21.4210i | −0.108116 | − | 1.18098i | ||||
\(330\) | 2.57886 | − | 5.28010i | 0.141961 | − | 0.290660i | ||||
\(331\) | −6.56728 | −0.360970 | −0.180485 | − | 0.983578i | \(-0.557767\pi\) | ||||
−0.180485 | + | 0.983578i | \(0.557767\pi\) | |||||||
\(332\) | −6.13285 | − | 22.8881i | −0.336584 | − | 1.25615i | ||||
\(333\) | 4.90337 | − | 24.6751i | 0.268703 | − | 1.35219i | ||||
\(334\) | 3.52479 | + | 6.10511i | 0.192868 | + | 0.334057i | ||||
\(335\) | −17.5309 | − | 27.9593i | −0.957813 | − | 1.52758i | ||||
\(336\) | −1.61186 | + | 2.07136i | −0.0879344 | + | 0.113002i | ||||
\(337\) | −3.65517 | + | 13.6413i | −0.199110 | + | 0.743087i | 0.792055 | + | 0.610450i | \(0.209011\pi\) |
−0.991165 | + | 0.132638i | \(0.957655\pi\) | |||||||
\(338\) | −2.66414 | − | 9.94269i | −0.144910 | − | 0.540811i | ||||
\(339\) | 32.0551 | + | 7.47104i | 1.74100 | + | 0.405771i | ||||
\(340\) | 6.12782 | − | 0.223443i | 0.332328 | − | 0.0121179i | ||||
\(341\) | 6.64754 | − | 3.83796i | 0.359985 | − | 0.207837i | ||||
\(342\) | −2.12286 | + | 10.6828i | −0.114791 | + | 0.577660i | ||||
\(343\) | −16.1497 | − | 9.06571i | −0.872002 | − | 0.489503i | ||||
\(344\) | −19.5228 | − | 11.2715i | −1.05260 | − | 0.607719i | ||||
\(345\) | −0.360930 | − | 5.20244i | −0.0194318 | − | 0.280090i | ||||
\(346\) | 18.3637i | 0.987239i | ||||||||
\(347\) | −19.3772 | − | 19.3772i | −1.04022 | − | 1.04022i | −0.999157 | − | 0.0410644i | \(-0.986925\pi\) |
−0.0410644 | − | 0.999157i | \(-0.513075\pi\) | |||||||
\(348\) | 2.89744 | − | 5.42195i | 0.155319 | − | 0.290647i | ||||
\(349\) | −5.35414 | + | 9.27365i | −0.286601 | + | 0.496407i | −0.972996 | − | 0.230822i | \(-0.925859\pi\) |
0.686395 | + | 0.727229i | \(0.259192\pi\) | |||||||
\(350\) | −9.90165 | − | 3.72035i | −0.529265 | − | 0.198861i | ||||
\(351\) | −0.300563 | + | 1.82367i | −0.0160428 | + | 0.0973402i | ||||
\(352\) | 2.86430 | − | 10.6897i | 0.152668 | − | 0.569764i | ||||
\(353\) | −4.72592 | + | 17.6374i | −0.251535 | + | 0.938742i | 0.718450 | + | 0.695579i | \(0.244852\pi\) |
−0.969985 | + | 0.243164i | \(0.921815\pi\) | |||||||
\(354\) | 7.50076 | + | 7.02391i | 0.398661 | + | 0.373317i | ||||
\(355\) | 7.02041 | + | 1.60940i | 0.372605 | + | 0.0854180i | ||||
\(356\) | −2.03982 | + | 1.17769i | −0.108110 | + | 0.0624174i | ||||
\(357\) | −8.50846 | − | 3.59218i | −0.450315 | − | 0.190118i | ||||
\(358\) | 1.30920 | + | 4.88599i | 0.0691932 | + | 0.258233i | ||||
\(359\) | −6.12023 | + | 3.53352i | −0.323013 | + | 0.186492i | −0.652735 | − | 0.757586i | \(-0.726378\pi\) |
0.329722 | + | 0.944078i | \(0.393045\pi\) | |||||||
\(360\) | 14.6111 | − | 10.5569i | 0.770072 | − | 0.556396i | ||||
\(361\) | −0.808341 | + | 1.40009i | −0.0425442 | + | 0.0736888i | ||||
\(362\) | 11.0240 | − | 11.0240i | 0.579411 | − | 0.579411i | ||||
\(363\) | 6.04042 | − | 11.3034i | 0.317040 | − | 0.593273i | ||||
\(364\) | 1.04597 | − | 0.738689i | 0.0548236 | − | 0.0387178i | ||||
\(365\) | −20.8774 | + | 0.761265i | −1.09277 | + | 0.0398464i | ||||
\(366\) | 4.44284 | − | 4.74446i | 0.232231 | − | 0.247997i | ||||
\(367\) | 21.1163 | + | 5.65810i | 1.10226 | + | 0.295350i | 0.763686 | − | 0.645588i | \(-0.223388\pi\) |
0.338577 | + | 0.940939i | \(0.390054\pi\) | |||||||
\(368\) | −0.199599 | − | 0.744912i | −0.0104048 | − | 0.0388312i | ||||
\(369\) | 1.06793 | − | 0.713856i | 0.0555941 | − | 0.0371619i | ||||
\(370\) | 14.3314 | − | 4.40570i | 0.745052 | − | 0.229041i | ||||
\(371\) | 21.0465 | + | 9.71115i | 1.09268 | + | 0.504178i | ||||
\(372\) | 9.52840 | − | 0.312821i | 0.494025 | − | 0.0162190i | ||||
\(373\) | 4.84308 | + | 18.0746i | 0.250765 | + | 0.935868i | 0.970398 | + | 0.241513i | \(0.0776437\pi\) |
−0.719632 | + | 0.694355i | \(0.755690\pi\) | |||||||
\(374\) | 3.05781 | 0.158116 | ||||||||
\(375\) | −15.4950 | − | 11.6149i | −0.800158 | − | 0.599789i | ||||
\(376\) | 21.8470i | 1.12668i | ||||||||
\(377\) | −0.656086 | + | 0.656086i | −0.0337901 | + | 0.0337901i | ||||
\(378\) | −10.7952 | + | 2.07331i | −0.555244 | + | 0.106640i | ||||
\(379\) | 14.4563i | 0.742571i | 0.928519 | + | 0.371285i | \(0.121083\pi\) | ||||
−0.928519 | + | 0.371285i | \(0.878917\pi\) | |||||||
\(380\) | 13.2049 | − | 4.05942i | 0.677400 | − | 0.208244i | ||||
\(381\) | −10.2140 | − | 9.56463i | −0.523277 | − | 0.490011i | ||||
\(382\) | −12.5930 | − | 12.5930i | −0.644312 | − | 0.644312i | ||||
\(383\) | −9.28486 | + | 2.48787i | −0.474434 | + | 0.127124i | −0.488110 | − | 0.872782i | \(-0.662313\pi\) |
0.0136757 | + | 0.999906i | \(0.495647\pi\) | |||||||
\(384\) | 10.4794 | − | 11.1908i | 0.534775 | − | 0.571080i | ||||
\(385\) | 10.3578 | + | 4.32872i | 0.527881 | + | 0.220612i | ||||
\(386\) | 7.57181 | 0.385395 | ||||||||
\(387\) | 8.09436 | + | 23.8306i | 0.411459 | + | 1.21138i | ||||
\(388\) | 8.62262 | − | 2.31042i | 0.437747 | − | 0.117294i | ||||
\(389\) | 3.85305 | − | 2.22456i | 0.195357 | − | 0.112790i | −0.399131 | − | 0.916894i | \(-0.630688\pi\) |
0.594488 | + | 0.804104i | \(0.297355\pi\) | |||||||
\(390\) | −1.04171 | + | 0.358051i | −0.0527488 | + | 0.0181306i | ||||
\(391\) | 2.35014 | − | 1.35685i | 0.118852 | − | 0.0686191i | ||||
\(392\) | 15.4946 | + | 10.6645i | 0.782595 | + | 0.538639i | ||||
\(393\) | −14.9152 | − | 7.97057i | −0.752375 | − | 0.402062i | ||||
\(394\) | − | 3.93979i | − | 0.198484i | ||||||
\(395\) | 5.06437 | − | 22.0914i | 0.254816 | − | 1.11154i | ||||
\(396\) | −6.43951 | + | 4.30449i | −0.323598 | + | 0.216309i | ||||
\(397\) | 6.67418 | + | 1.78834i | 0.334967 | + | 0.0897542i | 0.422382 | − | 0.906418i | \(-0.361194\pi\) |
−0.0874150 | + | 0.996172i | \(0.527861\pi\) | |||||||
\(398\) | −0.358784 | + | 0.0961359i | −0.0179842 | + | 0.00481886i | ||||
\(399\) | −20.6105 | − | 2.85589i | −1.03182 | − | 0.142973i | ||||
\(400\) | −2.57773 | − | 1.24742i | −0.128886 | − | 0.0623712i | ||||
\(401\) | −13.7579 | + | 23.8294i | −0.687037 | + | 1.18998i | 0.285755 | + | 0.958303i | \(0.407756\pi\) |
−0.972792 | + | 0.231680i | \(0.925578\pi\) | |||||||
\(402\) | −0.670665 | − | 20.4282i | −0.0334497 | − | 1.01887i | ||||
\(403\) | −1.38985 | − | 0.372410i | −0.0692336 | − | 0.0185511i | ||||
\(404\) | 11.6560 | + | 20.1888i | 0.579908 | + | 1.00443i | ||||
\(405\) | −20.0356 | − | 1.89049i | −0.995578 | − | 0.0939390i | ||||
\(406\) | −5.01063 | − | 2.31198i | −0.248673 | − | 0.114742i | ||||
\(407\) | −15.3702 | + | 4.11843i | −0.761872 | + | 0.204143i | ||||
\(408\) | 8.27295 | + | 4.42099i | 0.409572 | + | 0.218871i | ||||
\(409\) | 33.8152 | 1.67205 | 0.836026 | − | 0.548689i | \(-0.184873\pi\) | ||||
0.836026 | + | 0.548689i | \(0.184873\pi\) | |||||||
\(410\) | 0.676501 | + | 0.358366i | 0.0334100 | + | 0.0176984i | ||||
\(411\) | 7.36795 | − | 31.6128i | 0.363434 | − | 1.55934i | ||||
\(412\) | 5.58901 | + | 20.8585i | 0.275351 | + | 1.02762i | ||||
\(413\) | −12.5581 | + | 15.0891i | −0.617944 | + | 0.742488i | ||||
\(414\) | 1.42801 | − | 2.89708i | 0.0701828 | − | 0.142384i | ||||
\(415\) | −38.9145 | + | 1.41896i | −1.91024 | + | 0.0696542i | ||||
\(416\) | −1.79659 | + | 1.03726i | −0.0880849 | + | 0.0508558i | ||||
\(417\) | −2.19575 | − | 3.53032i | −0.107527 | − | 0.172881i | ||||
\(418\) | 6.65435 | − | 1.78303i | 0.325475 | − | 0.0872107i | ||||
\(419\) | 12.1462 | + | 21.0378i | 0.593380 | + | 1.02776i | 0.993773 | + | 0.111421i | \(0.0355402\pi\) |
−0.400393 | + | 0.916343i | \(0.631127\pi\) | |||||||
\(420\) | 8.81205 | + | 10.8049i | 0.429984 | + | 0.527225i | ||||
\(421\) | −2.49624 | + | 4.32361i | −0.121659 | + | 0.210720i | −0.920422 | − | 0.390926i | \(-0.872155\pi\) |
0.798763 | + | 0.601646i | \(0.205488\pi\) | |||||||
\(422\) | −4.57925 | + | 17.0900i | −0.222914 | + | 0.831928i | ||||
\(423\) | 16.0785 | − | 18.3409i | 0.781762 | − | 0.891766i | ||||
\(424\) | −20.3875 | − | 11.7707i | −0.990104 | − | 0.571637i | ||||
\(425\) | 1.89228 | − | 9.89768i | 0.0917889 | − | 0.480108i | ||||
\(426\) | 3.25615 | + | 3.04915i | 0.157761 | + | 0.147732i | ||||
\(427\) | 9.54435 | + | 7.94339i | 0.461883 | + | 0.384407i | ||||
\(428\) | 5.80836 | + | 1.55635i | 0.280758 | + | 0.0752288i | ||||
\(429\) | 1.11868 | − | 0.339461i | 0.0540102 | − | 0.0163894i | ||||
\(430\) | −10.2126 | + | 10.9856i | −0.492495 | + | 0.529771i | ||||
\(431\) | −2.71752 | + | 4.70688i | −0.130898 | + | 0.226723i | −0.924023 | − | 0.382337i | \(-0.875119\pi\) |
0.793125 | + | 0.609059i | \(0.208453\pi\) | |||||||
\(432\) | −2.96163 | + | 0.292535i | −0.142491 | + | 0.0140746i | ||||
\(433\) | 12.6985 | + | 12.6985i | 0.610249 | + | 0.610249i | 0.943011 | − | 0.332762i | \(-0.107981\pi\) |
−0.332762 | + | 0.943011i | \(0.607981\pi\) | |||||||
\(434\) | −0.780170 | − | 8.52203i | −0.0374494 | − | 0.409071i | ||||
\(435\) | −7.62098 | − | 6.63214i | −0.365398 | − | 0.317987i | ||||
\(436\) | −4.06623 | + | 7.04292i | −0.194737 | + | 0.337295i | ||||
\(437\) | 4.32314 | − | 4.32314i | 0.206804 | − | 0.206804i | ||||
\(438\) | −11.4118 | − | 6.09838i | −0.545279 | − | 0.291392i | ||||
\(439\) | 10.1789 | 0.485812 | 0.242906 | − | 0.970050i | \(-0.421899\pi\) | ||||
0.242906 | + | 0.970050i | \(0.421899\pi\) | |||||||
\(440\) | −10.0752 | − | 5.33717i | −0.480315 | − | 0.254440i | ||||
\(441\) | −5.15932 | − | 20.3564i | −0.245682 | − | 0.969351i | ||||
\(442\) | −0.405314 | − | 0.405314i | −0.0192788 | − | 0.0192788i | ||||
\(443\) | 3.28434 | − | 3.28434i | 0.156043 | − | 0.156043i | −0.624767 | − | 0.780811i | \(-0.714806\pi\) |
0.780811 | + | 0.624767i | \(0.214806\pi\) | |||||||
\(444\) | −19.2474 | − | 4.48597i | −0.913442 | − | 0.212895i | ||||
\(445\) | 1.13740 | + | 3.69986i | 0.0539179 | + | 0.175390i | ||||
\(446\) | 1.46275 | + | 0.844520i | 0.0692633 | + | 0.0399892i | ||||
\(447\) | 6.33767 | + | 3.38679i | 0.299762 | + | 0.160190i | ||||
\(448\) | −7.15393 | − | 5.95394i | −0.337992 | − | 0.281297i | ||||
\(449\) | 36.0848i | 1.70295i | 0.524398 | + | 0.851474i | \(0.324291\pi\) | ||||
−0.524398 | + | 0.851474i | \(0.675709\pi\) | |||||||
\(450\) | −4.67425 | − | 11.0454i | −0.220346 | − | 0.520687i | ||||
\(451\) | −0.703636 | − | 0.406244i | −0.0331329 | − | 0.0191293i | ||||
\(452\) | 6.69223 | − | 24.9757i | 0.314776 | − | 1.17476i | ||||
\(453\) | −14.2397 | − | 22.8945i | −0.669040 | − | 1.07568i | ||||
\(454\) | 0.915160 | + | 1.58510i | 0.0429506 | + | 0.0743926i | ||||
\(455\) | −0.799153 | − | 1.94670i | −0.0374649 | − | 0.0912626i | ||||
\(456\) | 20.5813 | + | 4.79686i | 0.963808 | + | 0.224633i | ||||
\(457\) | −19.3194 | − | 19.3194i | −0.903725 | − | 0.903725i | 0.0920315 | − | 0.995756i | \(-0.470664\pi\) |
−0.995756 | + | 0.0920315i | \(0.970664\pi\) | |||||||
\(458\) | −0.101743 | + | 0.0272621i | −0.00475415 | + | 0.00127387i | ||||
\(459\) | −3.69161 | − | 9.80002i | −0.172310 | − | 0.457426i | ||||
\(460\) | −4.09404 | + | 0.149284i | −0.190886 | + | 0.00696039i | ||||
\(461\) | 2.22321 | + | 1.28357i | 0.103545 | + | 0.0597819i | 0.550878 | − | 0.834586i | \(-0.314293\pi\) |
−0.447333 | + | 0.894367i | \(0.647626\pi\) | |||||||
\(462\) | 4.19508 | + | 5.54466i | 0.195173 | + | 0.257961i | ||||
\(463\) | 23.9995 | + | 6.43065i | 1.11535 | + | 0.298858i | 0.769001 | − | 0.639247i | \(-0.220754\pi\) |
0.346351 | + | 0.938105i | \(0.387421\pi\) | |||||||
\(464\) | −1.29384 | − | 0.746997i | −0.0600649 | − | 0.0346785i | ||||
\(465\) | 2.99783 | − | 15.3776i | 0.139021 | − | 0.713118i | ||||
\(466\) | −3.02785 | − | 5.24439i | −0.140262 | − | 0.242942i | ||||
\(467\) | 19.2509 | + | 5.15827i | 0.890827 | + | 0.238696i | 0.675073 | − | 0.737751i | \(-0.264112\pi\) |
0.215755 | + | 0.976448i | \(0.430779\pi\) | |||||||
\(468\) | 1.42412 | + | 0.282997i | 0.0658299 | + | 0.0130816i | ||||
\(469\) | 38.8844 | − | 3.55977i | 1.79552 | − | 0.164375i | ||||
\(470\) | 14.1687 | + | 3.24812i | 0.653554 | + | 0.149824i | ||||
\(471\) | −24.7057 | + | 26.3830i | −1.13838 | + | 1.21566i | ||||
\(472\) | 14.0986 | − | 14.0986i | 0.648939 | − | 0.648939i | ||||
\(473\) | 11.2563 | − | 11.2563i | 0.517565 | − | 0.517565i | ||||
\(474\) | 9.59488 | − | 10.2463i | 0.440707 | − | 0.470627i | ||||
\(475\) | −1.65346 | − | 22.6425i | −0.0758657 | − | 1.03891i | ||||
\(476\) | −3.03975 | + | 6.58788i | −0.139327 | + | 0.301955i | ||||
\(477\) | 8.45285 | + | 24.8860i | 0.387030 | + | 1.13945i | ||||
\(478\) | −6.97683 | − | 1.86944i | −0.319113 | − | 0.0855060i | ||||
\(479\) | −6.81934 | − | 11.8114i | −0.311584 | − | 0.539679i | 0.667122 | − | 0.744949i | \(-0.267526\pi\) |
−0.978705 | + | 0.205270i | \(0.934193\pi\) | |||||||
\(480\) | −12.6209 | − | 18.7333i | −0.576061 | − | 0.855054i | ||||
\(481\) | 2.58322 | + | 1.49142i | 0.117785 | + | 0.0680030i | ||||
\(482\) | −12.4192 | − | 3.32771i | −0.565678 | − | 0.151573i | ||||
\(483\) | 5.68456 | + | 2.39996i | 0.258656 | + | 0.109202i | ||||
\(484\) | −8.71922 | − | 5.03404i | −0.396328 | − | 0.228820i | ||||
\(485\) | −0.534565 | − | 14.6602i | −0.0242734 | − | 0.665687i | ||||
\(486\) | −10.1350 | − | 7.25542i | −0.459731 | − | 0.329113i | ||||
\(487\) | 0.813737 | − | 0.218040i | 0.0368739 | − | 0.00988034i | −0.240335 | − | 0.970690i | \(-0.577257\pi\) |
0.277209 | + | 0.960810i | \(0.410591\pi\) | |||||||
\(488\) | −8.91777 | − | 8.91777i | −0.403688 | − | 0.403688i | ||||
\(489\) | −21.7423 | − | 5.06745i | −0.983220 | − | 0.229158i | ||||
\(490\) | 9.22004 | − | 8.46333i | 0.416519 | − | 0.382334i | ||||
\(491\) | −12.3106 | − | 21.3225i | −0.555568 | − | 0.962271i | −0.997859 | − | 0.0653999i | \(-0.979168\pi\) |
0.442292 | − | 0.896871i | \(-0.354166\pi\) | |||||||
\(492\) | −0.532962 | − | 0.856893i | −0.0240278 | − | 0.0386317i | ||||
\(493\) | 1.36065 | − | 5.07802i | 0.0612807 | − | 0.228703i | ||||
\(494\) | −1.11838 | − | 0.645694i | −0.0503181 | − | 0.0290512i | ||||
\(495\) | 4.53034 | + | 11.8955i | 0.203624 | + | 0.534664i | ||||
\(496\) | − | 2.31686i | − | 0.104030i | ||||||
\(497\) | −5.45160 | + | 6.55034i | −0.244537 | + | 0.293823i | ||||
\(498\) | −21.2712 | − | 11.3671i | −0.953184 | − | 0.509373i | ||||
\(499\) | −6.39584 | − | 3.69264i | −0.286317 | − | 0.165305i | 0.349963 | − | 0.936764i | \(-0.386194\pi\) |
−0.636280 | + | 0.771458i | \(0.719528\pi\) | |||||||
\(500\) | −9.51891 | + | 11.8666i | −0.425698 | + | 0.530691i | ||||
\(501\) | −14.8721 | − | 3.46622i | −0.664437 | − | 0.154859i | ||||
\(502\) | −6.36448 | + | 6.36448i | −0.284061 | + | 0.284061i | ||||
\(503\) | 28.2531 | + | 28.2531i | 1.25974 | + | 1.25974i | 0.951215 | + | 0.308530i | \(0.0998370\pi\) |
0.308530 | + | 0.951215i | \(0.400163\pi\) | |||||||
\(504\) | 3.33336 | + | 21.0664i | 0.148480 | + | 0.938371i | ||||
\(505\) | 36.6189 | − | 11.2572i | 1.62952 | − | 0.500940i | ||||
\(506\) | −2.04295 | −0.0908200 | ||||||||
\(507\) | 19.6656 | + | 10.5091i | 0.873382 | + | 0.466727i | ||||
\(508\) | −7.77302 | + | 7.77302i | −0.344872 | + | 0.344872i | ||||
\(509\) | 6.15311 | − | 10.6575i | 0.272732 | − | 0.472385i | −0.696829 | − | 0.717238i | \(-0.745406\pi\) |
0.969560 | + | 0.244853i | \(0.0787395\pi\) | |||||||
\(510\) | 4.09718 | − | 4.70806i | 0.181426 | − | 0.208476i | ||||
\(511\) | 10.3564 | − | 22.4448i | 0.458138 | − | 0.992899i | ||||
\(512\) | −4.53849 | − | 4.53849i | −0.200575 | − | 0.200575i | ||||
\(513\) | −13.7480 | − | 19.1740i | −0.606991 | − | 0.846552i | ||||
\(514\) | −2.26218 | + | 3.91822i | −0.0997807 | + | 0.172825i | ||||
\(515\) | 35.4637 | − | 1.29313i | 1.56272 | − | 0.0569823i | ||||
\(516\) | 18.9194 | − | 5.74107i | 0.832879 | − | 0.252736i | ||||
\(517\) | −14.9017 | − | 3.99289i | −0.655375 | − | 0.175607i | ||||
\(518\) | −3.01019 | + | 17.4830i | −0.132260 | + | 0.768160i | ||||
\(519\) | −29.0360 | − | 27.1901i | −1.27454 | − | 1.19351i | ||||
\(520\) | 0.628024 | + | 2.04291i | 0.0275407 | + | 0.0895875i | ||||
\(521\) | −30.8984 | − | 17.8392i | −1.35368 | − | 0.781550i | −0.364920 | − | 0.931039i | \(-0.618904\pi\) |
−0.988763 | + | 0.149489i | \(0.952237\pi\) | |||||||
\(522\) | −2.01241 | − | 5.92472i | −0.0880808 | − | 0.259318i | ||||
\(523\) | −3.40911 | + | 12.7230i | −0.149070 | + | 0.556336i | 0.850471 | + | 0.526023i | \(0.176317\pi\) |
−0.999540 | + | 0.0303136i | \(0.990349\pi\) | |||||||
\(524\) | −6.64262 | + | 11.5054i | −0.290184 | + | 0.502614i | ||||
\(525\) | 20.5433 | − | 10.1476i | 0.896582 | − | 0.442878i | ||||
\(526\) | −0.974751 | − | 1.68832i | −0.0425012 | − | 0.0736142i | ||||
\(527\) | 7.87489 | − | 2.11007i | 0.343036 | − | 0.0919161i | ||||
\(528\) | 0.994170 | + | 1.59842i | 0.0432657 | + | 0.0695624i | ||||
\(529\) | 18.3484 | − | 10.5935i | 0.797758 | − | 0.460586i | ||||
\(530\) | −10.6649 | + | 11.4721i | −0.463254 | + | 0.498317i | ||||
\(531\) | −22.2119 | + | 1.46002i | −0.963914 | + | 0.0633595i | ||||
\(532\) | −2.77360 | + | 16.1089i | −0.120251 | + | 0.698409i | ||||
\(533\) | 0.0394193 | + | 0.147115i | 0.00170744 | + | 0.00637225i | ||||
\(534\) | −0.544167 | + | 2.33479i | −0.0235484 | + | 0.101036i | ||||
\(535\) | 4.62585 | − | 8.73240i | 0.199993 | − | 0.377535i | ||||
\(536\) | −39.6578 | −1.71296 | ||||||||
\(537\) | −9.66400 | − | 5.16435i | −0.417032 | − | 0.222858i | ||||
\(538\) | 4.44790 | − | 1.19181i | 0.191763 | − | 0.0513826i | ||||
\(539\) | −10.1061 | + | 8.61962i | −0.435298 | + | 0.371273i | ||||
\(540\) | −2.00079 | + | 15.6824i | −0.0861001 | + | 0.674862i | ||||
\(541\) | −10.4309 | − | 18.0669i | −0.448460 | − | 0.776756i | 0.549826 | − | 0.835279i | \(-0.314694\pi\) |
−0.998286 | + | 0.0585236i | \(0.981361\pi\) | |||||||
\(542\) | 19.9566 | + | 5.34735i | 0.857208 | + | 0.229688i | ||||
\(543\) | 1.10814 | + | 33.7535i | 0.0475547 | + | 1.44850i | ||||
\(544\) | 5.87710 | − | 10.1794i | 0.251978 | − | 0.436439i | ||||
\(545\) | 9.78828 | + | 9.09956i | 0.419284 | + | 0.389782i | ||||
\(546\) | 0.178887 | − | 1.29100i | 0.00765567 | − | 0.0552499i | ||||
\(547\) | −27.2577 | + | 7.30369i | −1.16546 | + | 0.312283i | −0.789143 | − | 0.614209i | \(-0.789475\pi\) |
−0.376314 | + | 0.926492i | \(0.622808\pi\) | |||||||
\(548\) | −24.6311 | − | 6.59988i | −1.05219 | − | 0.281933i | ||||
\(549\) | 0.923508 | + | 14.0497i | 0.0394143 | + | 0.599626i | ||||
\(550\) | −4.95931 | + | 5.74067i | −0.211466 | + | 0.244783i | ||||
\(551\) | − | 11.8441i | − | 0.504575i | ||||||
\(552\) | −5.52721 | − | 2.95369i | −0.235254 | − | 0.125717i | ||||
\(553\) | 20.6122 | + | 17.1548i | 0.876522 | + | 0.729495i | ||||
\(554\) | 11.7828 | − | 6.80283i | 0.500605 | − | 0.289024i | ||||
\(555\) | −14.2535 | + | 29.1835i | −0.605027 | + | 1.23877i | ||||
\(556\) | −2.82846 | + | 1.63301i | −0.119953 | + | 0.0692551i | ||||
\(557\) | −15.9512 | + | 4.27411i | −0.675875 | + | 0.181100i | −0.580400 | − | 0.814332i | \(-0.697104\pi\) |
−0.0954749 | + | 0.995432i | \(0.530437\pi\) | |||||||
\(558\) | 6.39658 | − | 7.29666i | 0.270789 | − | 0.308892i | ||||
\(559\) | −2.98405 | −0.126212 | ||||||||
\(560\) | 2.69468 | − | 2.05421i | 0.113871 | − | 0.0868060i | ||||
\(561\) | −4.52753 | + | 4.83490i | −0.191152 | + | 0.204130i | ||||
\(562\) | 24.9325 | − | 6.68063i | 1.05171 | − | 0.281805i | ||||
\(563\) | 11.3493 | + | 11.3493i | 0.478318 | + | 0.478318i | 0.904593 | − | 0.426276i | \(-0.140175\pi\) |
−0.426276 | + | 0.904593i | \(0.640175\pi\) | |||||||
\(564\) | −13.9860 | − | 13.0969i | −0.588919 | − | 0.551479i | ||||
\(565\) | −37.5490 | − | 19.8910i | −1.57970 | − | 0.836821i | ||||
\(566\) | 0.980241i | 0.0412026i | ||||||||
\(567\) | 12.7055 | − | 20.1387i | 0.533583 | − | 0.845748i | ||||
\(568\) | 6.12032 | − | 6.12032i | 0.256803 | − | 0.256803i | ||||
\(569\) | − | 0.550495i | − | 0.0230780i | −0.999933 | − | 0.0115390i | \(-0.996327\pi\) | ||
0.999933 | − | 0.0115390i | \(-0.00367305\pi\) | |||||||
\(570\) | 6.17089 | − | 12.6347i | 0.258470 | − | 0.529208i | ||||
\(571\) | 32.7420 | 1.37021 | 0.685105 | − | 0.728445i | \(-0.259756\pi\) | ||||
0.685105 | + | 0.728445i | \(0.259756\pi\) | |||||||
\(572\) | −0.237694 | − | 0.887088i | −0.00993851 | − | 0.0370910i | ||||
\(573\) | 38.5572 | − | 1.26585i | 1.61075 | − | 0.0528815i | ||||
\(574\) | −0.739907 | + | 0.522541i | −0.0308831 | + | 0.0218104i | ||||
\(575\) | −1.26424 | + | 6.61270i | −0.0527226 | + | 0.275769i | ||||
\(576\) | −0.692212 | − | 10.5309i | −0.0288422 | − | 0.438788i | ||||
\(577\) | 3.43734 | + | 12.8283i | 0.143098 | + | 0.534050i | 0.999833 | + | 0.0182920i | \(0.00582285\pi\) |
−0.856735 | + | 0.515758i | \(0.827510\pi\) | |||||||
\(578\) | −9.99269 | − | 2.67753i | −0.415641 | − | 0.111371i | ||||
\(579\) | −11.2111 | + | 11.9723i | −0.465919 | + | 0.497550i | ||||
\(580\) | −5.40372 | + | 5.81271i | −0.224377 | + | 0.241360i | ||||
\(581\) | 19.3038 | − | 41.8361i | 0.800856 | − | 1.73565i | ||||
\(582\) | 4.28233 | − | 8.01347i | 0.177508 | − | 0.332169i | ||||
\(583\) | 11.7548 | − | 11.7548i | 0.486836 | − | 0.486836i | ||||
\(584\) | −12.5528 | + | 21.7420i | −0.519437 | + | 0.899690i | ||||
\(585\) | 0.976257 | − | 2.17725i | 0.0403633 | − | 0.0900182i | ||||
\(586\) | 4.05598 | − | 2.34172i | 0.167551 | − | 0.0967356i | ||||
\(587\) | 1.57685 | + | 5.88487i | 0.0650834 | + | 0.242895i | 0.990802 | − | 0.135318i | \(-0.0432056\pi\) |
−0.925719 | + | 0.378212i | \(0.876539\pi\) | |||||||
\(588\) | −16.1159 | + | 3.52615i | −0.664610 | + | 0.145416i | ||||
\(589\) | 15.9068 | − | 9.18378i | 0.655427 | − | 0.378411i | ||||
\(590\) | −7.04739 | − | 11.2396i | −0.290137 | − | 0.462727i | ||||
\(591\) | 6.22945 | + | 5.83342i | 0.256245 | + | 0.239955i | ||||
\(592\) | −1.24308 | + | 4.63925i | −0.0510904 | + | 0.190672i | ||||
\(593\) | −0.196420 | + | 0.733049i | −0.00806599 | + | 0.0301027i | −0.969842 | − | 0.243736i | \(-0.921627\pi\) |
0.961776 | + | 0.273839i | \(0.0882935\pi\) | |||||||
\(594\) | −1.28205 | + | 7.77884i | −0.0526030 | + | 0.319170i | ||||
\(595\) | 9.43633 | + | 7.28823i | 0.386852 | + | 0.298788i | ||||
\(596\) | 2.82253 | − | 4.88877i | 0.115615 | − | 0.200252i | ||||
\(597\) | 0.379224 | − | 0.709639i | 0.0155206 | − | 0.0290436i | ||||
\(598\) | 0.270793 | + | 0.270793i | 0.0110735 | + | 0.0110735i | ||||
\(599\) | 32.8038i | 1.34033i | 0.742214 | + | 0.670163i | \(0.233776\pi\) | ||||
−0.742214 | + | 0.670163i | \(0.766224\pi\) | |||||||
\(600\) | −21.7173 | + | 8.36126i | −0.886605 | + | 0.341347i | ||||
\(601\) | −15.5085 | − | 8.95386i | −0.632607 | − | 0.365236i | 0.149154 | − | 0.988814i | \(-0.452345\pi\) |
−0.781761 | + | 0.623578i | \(0.785678\pi\) | |||||||
\(602\) | −6.13709 | − | 16.6526i | −0.250129 | − | 0.678708i | ||||
\(603\) | 33.2933 | + | 29.1864i | 1.35581 | + | 1.18856i | ||||
\(604\) | −18.3429 | + | 10.5903i | −0.746361 | + | 0.430912i | ||||
\(605\) | −11.2654 | + | 12.1180i | −0.458002 | + | 0.492667i | ||||
\(606\) | 23.1083 | + | 5.38581i | 0.938709 | + | 0.218783i | ||||
\(607\) | −8.29661 | − | 30.9634i | −0.336749 | − | 1.25676i | −0.901961 | − | 0.431818i | \(-0.857872\pi\) |
0.565212 | − | 0.824946i | \(-0.308794\pi\) | |||||||
\(608\) | 6.85393 | − | 25.5792i | 0.277964 | − | 1.03737i | ||||
\(609\) | 11.0746 | − | 4.49941i | 0.448764 | − | 0.182325i | ||||
\(610\) | −7.10940 | + | 4.45769i | −0.287851 | + | 0.180487i | ||||
\(611\) | 1.44596 | + | 2.50448i | 0.0584973 | + | 0.101320i | ||||
\(612\) | −7.78971 | + | 2.64588i | −0.314880 | + | 0.106953i | ||||
\(613\) | 0.479975 | + | 1.79129i | 0.0193860 | + | 0.0723495i | 0.974941 | − | 0.222463i | \(-0.0714096\pi\) |
−0.955555 | + | 0.294812i | \(0.904743\pi\) | |||||||
\(614\) | 4.27123 | 0.172373 | ||||||||
\(615\) | −1.56829 | + | 0.539046i | −0.0632396 | + | 0.0217364i | ||||
\(616\) | 11.0195 | − | 7.78224i | 0.443988 | − | 0.313556i | ||||
\(617\) | −6.06122 | + | 22.6208i | −0.244016 | + | 0.910679i | 0.729860 | + | 0.683597i | \(0.239585\pi\) |
−0.973876 | + | 0.227082i | \(0.927081\pi\) | |||||||
\(618\) | 19.3849 | + | 10.3591i | 0.779775 | + | 0.416705i | ||||
\(619\) | −13.6210 | − | 23.5923i | −0.547476 | − | 0.948256i | −0.998447 | − | 0.0557175i | \(-0.982255\pi\) |
0.450971 | − | 0.892539i | \(-0.351078\pi\) | |||||||
\(620\) | −11.9965 | − | 2.75016i | −0.481793 | − | 0.110449i | ||||
\(621\) | 2.46639 | + | 6.54746i | 0.0989727 | + | 0.262740i | ||||
\(622\) | −11.8524 | + | 11.8524i | −0.475240 | + | 0.475240i | ||||
\(623\) | −4.51351 | − | 0.777129i | −0.180830 | − | 0.0311350i | ||||
\(624\) | 0.0800936 | − | 0.343648i | 0.00320631 | − | 0.0137569i | ||||
\(625\) | 15.5127 | + | 19.6050i | 0.620507 | + | 0.784201i | ||||
\(626\) | 9.96219i | 0.398169i | ||||||||
\(627\) | −7.03346 | + | 13.1616i | −0.280889 | + | 0.525625i | ||||
\(628\) | 20.0780 | + | 20.0780i | 0.801198 | + | 0.801198i | ||||
\(629\) | −16.9007 | −0.673877 | ||||||||
\(630\) | 14.1580 | + | 0.970231i | 0.564069 | + | 0.0386549i | ||||
\(631\) | 22.8338 | 0.908998 | 0.454499 | − | 0.890747i | \(-0.349818\pi\) | ||||
0.454499 | + | 0.890747i | \(0.349818\pi\) | |||||||
\(632\) | −19.2591 | − | 19.2591i | −0.766085 | − | 0.766085i | ||||
\(633\) | −20.2418 | − | 32.5447i | −0.804540 | − | 1.29354i | ||||
\(634\) | − | 11.8176i | − | 0.469336i | ||||||
\(635\) | 9.59660 | + | 15.3052i | 0.380829 | + | 0.607370i | ||||
\(636\) | 19.7573 | − | 5.99533i | 0.783428 | − | 0.237730i | ||||
\(637\) | 2.48209 | + | 0.197027i | 0.0983440 | + | 0.00780649i | ||||
\(638\) | −2.79853 | + | 2.79853i | −0.110795 | + | 0.110795i | ||||
\(639\) | −9.64239 | + | 0.633809i | −0.381447 | + | 0.0250731i | ||||
\(640\) | −16.7691 | + | 10.5144i | −0.662855 | + | 0.415620i | ||||
\(641\) | 9.20899 | + | 15.9504i | 0.363733 | + | 0.630004i | 0.988572 | − | 0.150749i | \(-0.0481687\pi\) |
−0.624839 | + | 0.780754i | \(0.714835\pi\) | |||||||
\(642\) | 5.19720 | − | 3.23250i | 0.205117 | − | 0.127577i | ||||
\(643\) | 12.2575 | − | 45.7457i | 0.483389 | − | 1.80403i | −0.103819 | − | 0.994596i | \(-0.533106\pi\) |
0.587208 | − | 0.809436i | \(-0.300227\pi\) | |||||||
\(644\) | 2.03087 | − | 4.40141i | 0.0800276 | − | 0.173440i | ||||
\(645\) | −2.24875 | − | 32.4135i | −0.0885445 | − | 1.27628i | ||||
\(646\) | 7.31699 | 0.287883 | ||||||||
\(647\) | −0.633107 | − | 2.36279i | −0.0248900 | − | 0.0928907i | 0.952364 | − | 0.304965i | \(-0.0986448\pi\) |
−0.977254 | + | 0.212074i | \(0.931978\pi\) | |||||||
\(648\) | −14.7152 | + | 19.1921i | −0.578069 | + | 0.753938i | ||||
\(649\) | 7.03977 | + | 12.1932i | 0.276335 | + | 0.478627i | ||||
\(650\) | 1.41828 | − | 0.103569i | 0.0556296 | − | 0.00406232i | ||||
\(651\) | 14.6299 | + | 11.3845i | 0.573390 | + | 0.446194i | ||||
\(652\) | −4.53919 | + | 16.9405i | −0.177768 | + | 0.663441i | ||||
\(653\) | 6.07335 | + | 22.6660i | 0.237669 | + | 0.886991i | 0.976928 | + | 0.213570i | \(0.0685092\pi\) |
−0.739259 | + | 0.673421i | \(0.764824\pi\) | |||||||
\(654\) | 2.40355 | + | 7.92079i | 0.0939864 | + | 0.309727i | ||||
\(655\) | 15.9902 | + | 14.8651i | 0.624789 | + | 0.580827i | ||||
\(656\) | −0.212381 | + | 0.122618i | −0.00829210 | + | 0.00478745i | ||||
\(657\) | 26.5394 | − | 9.01445i | 1.03540 | − | 0.351687i | ||||
\(658\) | −11.0025 | + | 13.2200i | −0.428922 | + | 0.515370i | ||||
\(659\) | −17.3437 | − | 10.0134i | −0.675615 | − | 0.390067i | 0.122586 | − | 0.992458i | \(-0.460881\pi\) |
−0.798201 | + | 0.602391i | \(0.794215\pi\) | |||||||
\(660\) | 9.45664 | − | 3.25040i | 0.368099 | − | 0.126522i | ||||
\(661\) | − | 0.722232i | − | 0.0280916i | −0.999901 | − | 0.0140458i | \(-0.995529\pi\) | ||
0.999901 | − | 0.0140458i | \(-0.00447106\pi\) | |||||||
\(662\) | 3.71309 | + | 3.71309i | 0.144313 | + | 0.144313i | ||||
\(663\) | 1.24099 | − | 0.0407422i | 0.0481961 | − | 0.00158229i | ||||
\(664\) | −23.3978 | + | 40.5261i | −0.908010 | + | 1.57272i | ||||
\(665\) | 24.7849 | + | 10.3581i | 0.961119 | + | 0.401670i | ||||
\(666\) | −16.7234 | + | 11.1787i | −0.648019 | + | 0.433168i | ||||
\(667\) | −0.909061 | + | 3.39266i | −0.0351990 | + | 0.131364i | ||||
\(668\) | −3.10489 | + | 11.5876i | −0.120132 | + | 0.448338i | ||||
\(669\) | −3.50113 | + | 1.06242i | −0.135362 | + | 0.0410753i | ||||
\(670\) | −5.89614 | + | 25.7197i | −0.227788 | + | 0.993640i | ||||
\(671\) | 7.71260 | − | 4.45287i | 0.297742 | − | 0.171901i | ||||
\(672\) | 26.5210 | − | 3.30857i | 1.02307 | − | 0.127631i | ||||
\(673\) | 7.09161 | + | 26.4663i | 0.273362 | + | 1.02020i | 0.956931 | + | 0.290314i | \(0.0937598\pi\) |
−0.683570 | + | 0.729885i | \(0.739574\pi\) | |||||||
\(674\) | 9.77926 | − | 5.64606i | 0.376683 | − | 0.217478i | ||||
\(675\) | 24.3855 | + | 8.96359i | 0.938599 | + | 0.345009i | ||||
\(676\) | 8.75824 | − | 15.1697i | 0.336856 | − | 0.583451i | ||||
\(677\) | −22.4237 | + | 22.4237i | −0.861814 | + | 0.861814i | −0.991549 | − | 0.129735i | \(-0.958587\pi\) |
0.129735 | + | 0.991549i | \(0.458587\pi\) | |||||||
\(678\) | −13.8996 | − | 22.3478i | −0.533812 | − | 0.858260i | ||||
\(679\) | 15.7609 | + | 7.27230i | 0.604847 | + | 0.279085i | ||||
\(680\) | −8.86918 | − | 8.24513i | −0.340118 | − | 0.316186i | ||||
\(681\) | −3.86133 | − | 0.899955i | −0.147966 | − | 0.0344863i | ||||
\(682\) | −5.92841 | − | 1.58851i | −0.227011 | − | 0.0608273i | ||||
\(683\) | −5.84528 | − | 21.8149i | −0.223663 | − | 0.834724i | −0.982936 | − | 0.183950i | \(-0.941111\pi\) |
0.759272 | − | 0.650773i | \(-0.225555\pi\) | |||||||
\(684\) | −15.4090 | + | 10.3001i | −0.589177 | + | 0.393835i | ||||
\(685\) | −19.6165 | + | 37.0309i | −0.749509 | + | 1.41488i | ||||
\(686\) | 4.00523 | + | 14.2566i | 0.152920 | + | 0.544319i | ||||
\(687\) | 0.107540 | − | 0.201238i | 0.00410290 | − | 0.00767771i | ||||
\(688\) | −1.24359 | − | 4.64112i | −0.0474112 | − | 0.176941i | ||||
\(689\) | −3.11621 | −0.118718 | ||||||||
\(690\) | −2.73735 | + | 3.14548i | −0.104209 | + | 0.119747i | ||||
\(691\) | 8.95201i | 0.340550i | 0.985397 | + | 0.170275i | \(0.0544657\pi\) | ||||
−0.985397 | + | 0.170275i | \(0.945534\pi\) | |||||||
\(692\) | −22.0969 | + | 22.0969i | −0.840000 | + | 0.840000i | ||||
\(693\) | −14.9784 | − | 1.57656i | −0.568983 | − | 0.0598886i | ||||
\(694\) | 21.9114i | 0.831744i | ||||||||
\(695\) | 1.57714 | + | 5.13032i | 0.0598245 | + | 0.194604i | ||||
\(696\) | −11.6176 | + | 3.52533i | −0.440362 | + | 0.133627i | ||||
\(697\) | −0.610201 | − | 0.610201i | −0.0231130 | − | 0.0231130i | ||||
\(698\) | 8.27043 | − | 2.21605i | 0.313040 | − | 0.0838789i | ||||
\(699\) | 12.7754 | + | 2.97754i | 0.483210 | + | 0.112621i | ||||
\(700\) | −7.43792 | − | 16.3913i | −0.281127 | − | 0.619532i | ||||
\(701\) | 28.2460 | 1.06684 | 0.533419 | − | 0.845851i | \(-0.320907\pi\) | ||||
0.533419 | + | 0.845851i | \(0.320907\pi\) | |||||||
\(702\) | 1.20102 | − | 0.861150i | 0.0453296 | − | 0.0325020i | ||||
\(703\) | −36.7790 | + | 9.85491i | −1.38715 | + | 0.371685i | ||||
\(704\) | −5.78095 | + | 3.33763i | −0.217878 | + | 0.125792i | ||||
\(705\) | −26.1146 | + | 17.5937i | −0.983532 | + | 0.662618i | ||||
\(706\) | 12.6440 | − | 7.30002i | 0.475864 | − | 0.274740i | ||||
\(707\) | −7.69152 | + | 44.6718i | −0.289269 | + | 1.68006i | ||||
\(708\) | 0.573791 | + | 17.4775i | 0.0215644 | + | 0.656843i | ||||
\(709\) | − | 19.1786i | − | 0.720268i | −0.932901 | − | 0.360134i | \(-0.882731\pi\) | ||
0.932901 | − | 0.360134i | \(-0.117269\pi\) | |||||||
\(710\) | −3.05934 | − | 4.87922i | −0.114815 | − | 0.183114i | ||||
\(711\) | 1.99443 | + | 30.3421i | 0.0747971 | + | 1.13792i | ||||
\(712\) | 4.49307 | + | 1.20391i | 0.168385 | + | 0.0451186i | ||||
\(713\) | −5.26127 | + | 1.40975i | −0.197036 | + | 0.0527956i | ||||
\(714\) | 2.77962 | + | 6.84159i | 0.104025 | + | 0.256040i | ||||
\(715\) | −1.50823 | + | 0.0549956i | −0.0564047 | + | 0.00205672i | ||||
\(716\) | −4.30394 | + | 7.45463i | −0.160846 | + | 0.278593i | ||||
\(717\) | 13.2861 | − | 8.26353i | 0.496177 | − | 0.308607i | ||||
\(718\) | 5.45814 | + | 1.46251i | 0.203696 | + | 0.0545802i | ||||
\(719\) | −13.9884 | − | 24.2287i | −0.521681 | − | 0.903578i | −0.999682 | − | 0.0252186i | \(-0.991972\pi\) |
0.478001 | − | 0.878359i | \(-0.341362\pi\) | |||||||
\(720\) | 3.79315 | + | 0.611027i | 0.141362 | + | 0.0227716i | ||||
\(721\) | −17.5920 | + | 38.1262i | −0.655159 | + | 1.41989i | ||||
\(722\) | 1.24863 | − | 0.334568i | 0.0464691 | − | 0.0124513i | ||||
\(723\) | 23.6500 | − | 14.7096i | 0.879552 | − | 0.547055i | ||||
\(724\) | 26.5303 | 0.985992 | ||||||||
\(725\) | 7.32658 | + | 10.7902i | 0.272102 | + | 0.400739i | ||||
\(726\) | −9.80603 | + | 2.97563i | −0.363936 | + | 0.110436i | ||||
\(727\) | −13.0856 | − | 48.8362i | −0.485319 | − | 1.81123i | −0.578622 | − | 0.815596i | \(-0.696409\pi\) |
0.0933035 | − | 0.995638i | \(-0.470257\pi\) | |||||||
\(728\) | −2.49217 | − | 0.429098i | −0.0923660 | − | 0.0159034i | ||||
\(729\) | 26.4782 | − | 5.28231i | 0.980676 | − | 0.195641i | ||||
\(730\) | 12.2343 | + | 11.3735i | 0.452812 | + | 0.420951i | ||||
\(731\) | 14.6424 | − | 8.45379i | 0.541568 | − | 0.312675i | ||||
\(732\) | 11.0550 | − | 0.362940i | 0.408605 | − | 0.0134147i | ||||
\(733\) | −11.9833 | + | 3.21092i | −0.442614 | + | 0.118598i | −0.473241 | − | 0.880933i | \(-0.656916\pi\) |
0.0306273 | + | 0.999531i | \(0.490249\pi\) | |||||||
\(734\) | −8.73994 | − | 15.1380i | −0.322597 | − | 0.558755i | ||||
\(735\) | −0.269677 | + | 27.1095i | −0.00994717 | + | 0.999951i | ||||
\(736\) | −3.92653 | + | 6.80094i | −0.144734 | + | 0.250686i | ||||
\(737\) | 7.24809 | − | 27.0502i | 0.266987 | − | 0.996409i | ||||
\(738\) | −1.00741 | − | 0.200189i | −0.0370831 | − | 0.00736908i | ||||
\(739\) | −6.03461 | − | 3.48408i | −0.221987 | − | 0.128164i | 0.384883 | − | 0.922965i | \(-0.374242\pi\) |
−0.606870 | + | 0.794801i | \(0.707575\pi\) | |||||||
\(740\) | 22.5462 | + | 11.9435i | 0.828815 | + | 0.439052i | ||||
\(741\) | 2.67686 | − | 0.812291i | 0.0983370 | − | 0.0298402i | ||||
\(742\) | −6.40889 | − | 17.3901i | −0.235278 | − | 0.638411i | ||||
\(743\) | −2.66574 | − | 0.714284i | −0.0977966 | − | 0.0262045i | 0.209589 | − | 0.977790i | \(-0.432787\pi\) |
−0.307385 | + | 0.951585i | \(0.599454\pi\) | |||||||
\(744\) | −13.7427 | − | 12.8690i | −0.503832 | − | 0.471802i | ||||
\(745\) | −6.79443 | − | 6.31636i | −0.248929 | − | 0.231414i | ||||
\(746\) | 7.48100 | − | 12.9575i | 0.273899 | − | 0.474407i | ||||
\(747\) | 49.4683 | − | 16.8025i | 1.80995 | − | 0.614773i | ||||
\(748\) | 3.67945 | + | 3.67945i | 0.134534 | + | 0.134534i | ||||
\(749\) | 6.74506 | + | 9.55086i | 0.246459 | + | 0.348981i | ||||
\(750\) | 2.19380 | + | 15.3277i | 0.0801062 | + | 0.559688i | ||||
\(751\) | −0.806068 | + | 1.39615i | −0.0294138 | + | 0.0509463i | −0.880358 | − | 0.474311i | \(-0.842697\pi\) |
0.850944 | + | 0.525257i | \(0.176031\pi\) | |||||||
\(752\) | −3.29264 | + | 3.29264i | −0.120070 | + | 0.120070i | ||||
\(753\) | −0.639758 | − | 19.4868i | −0.0233141 | − | 0.710138i | ||||
\(754\) | 0.741890 | 0.0270181 | ||||||||
\(755\) | 10.2280 | + | 33.2707i | 0.372233 | + | 1.21084i | ||||
\(756\) | −15.4846 | − | 10.4950i | −0.563169 | − | 0.381698i | ||||
\(757\) | −20.4552 | − | 20.4552i | −0.743458 | − | 0.743458i | 0.229784 | − | 0.973242i | \(-0.426198\pi\) |
−0.973242 | + | 0.229784i | \(0.926198\pi\) | |||||||
\(758\) | 8.17347 | − | 8.17347i | 0.296874 | − | 0.296874i | ||||
\(759\) | 3.02487 | − | 3.23023i | 0.109796 | − | 0.117250i | ||||
\(760\) | −24.1087 | − | 12.7712i | −0.874515 | − | 0.463261i | ||||
\(761\) | −8.22171 | − | 4.74681i | −0.298037 | − | 0.172072i | 0.343524 | − | 0.939144i | \(-0.388379\pi\) |
−0.641561 | + | 0.767072i | \(0.721713\pi\) | |||||||
\(762\) | 0.367130 | + | 11.1826i | 0.0132997 | + | 0.405104i | ||||
\(763\) | −14.8377 | + | 5.46822i | −0.537159 | + | 0.197963i | ||||
\(764\) | − | 30.3061i | − | 1.09644i | ||||||
\(765\) | 1.37775 | + | 13.4492i | 0.0498127 | + | 0.486259i | ||||
\(766\) | 6.65620 | + | 3.84296i | 0.240498 | + | 0.138852i | ||||
\(767\) | 0.683093 | − | 2.54934i | 0.0246651 | − | 0.0920513i | ||||
\(768\) | −24.4319 | + | 0.802107i | −0.881610 | + | 0.0289435i | ||||
\(769\) | −17.6473 | − | 30.5659i | −0.636376 | − | 1.10224i | −0.986222 | − | 0.165429i | \(-0.947099\pi\) |
0.349846 | − | 0.936807i | \(-0.386234\pi\) | |||||||
\(770\) | −3.40878 | − | 8.30362i | −0.122844 | − | 0.299242i | ||||
\(771\) | −2.84585 | − | 9.37836i | −0.102491 | − | 0.337753i | ||||
\(772\) | 9.11112 | + | 9.11112i | 0.327916 | + | 0.327916i | ||||
\(773\) | 40.0084 | − | 10.7202i | 1.43900 | − | 0.385579i | 0.546817 | − | 0.837252i | \(-0.315839\pi\) |
0.892184 | + | 0.451673i | \(0.149173\pi\) | |||||||
\(774\) | 8.89711 | − | 18.0501i | 0.319800 | − | 0.648797i | ||||
\(775\) | −8.81047 | + | 18.2063i | −0.316481 | + | 0.653991i | ||||
\(776\) | −15.2674 | − | 8.81462i | −0.548067 | − | 0.316427i | ||||
\(777\) | −23.1865 | − | 30.6457i | −0.831810 | − | 1.09941i | ||||
\(778\) | −3.43623 | − | 0.920735i | −0.123195 | − | 0.0330099i | ||||
\(779\) | −1.68372 | − | 0.972094i | −0.0603254 | − | 0.0348289i | ||||
\(780\) | −1.68432 | − | 0.822638i | −0.0603083 | − | 0.0294552i | ||||
\(781\) | 3.05603 | + | 5.29320i | 0.109353 | + | 0.189406i | ||||
\(782\) | −2.09590 | − | 0.561595i | −0.0749493 | − | 0.0200826i | ||||
\(783\) | 12.3476 | + | 5.59045i | 0.441267 | + | 0.199786i | ||||
\(784\) | 0.727958 | + | 3.94253i | 0.0259985 | + | 0.140805i | ||||
\(785\) | 39.5339 | − | 24.7883i | 1.41103 | − | 0.884734i | ||||
\(786\) | 3.92646 | + | 12.9394i | 0.140052 | + | 0.461535i | ||||
\(787\) | −17.4022 | + | 17.4022i | −0.620323 | + | 0.620323i | −0.945614 | − | 0.325291i | \(-0.894538\pi\) |
0.325291 | + | 0.945614i | \(0.394538\pi\) | |||||||
\(788\) | 4.74073 | − | 4.74073i | 0.168881 | − | 0.168881i | ||||
\(789\) | 4.11276 | + | 0.958556i | 0.146418 | + | 0.0341255i | ||||
\(790\) | −15.3537 | + | 9.62696i | −0.546258 | + | 0.342512i | ||||
\(791\) | 41.0683 | − | 29.0035i | 1.46022 | − | 1.03125i | ||||
\(792\) | 15.0034 | + | 2.98144i | 0.533122 | + | 0.105941i | ||||
\(793\) | −1.61253 | − | 0.432077i | −0.0572628 | − | 0.0153435i | ||||
\(794\) | −2.76241 | − | 4.78463i | −0.0980343 | − | 0.169800i | ||||
\(795\) | −2.34835 | − | 33.8490i | −0.0832873 | − | 1.20050i | ||||
\(796\) | −0.547403 | − | 0.316043i | −0.0194022 | − | 0.0112018i | ||||
\(797\) | 23.2497 | + | 6.22974i | 0.823547 | + | 0.220669i | 0.645897 | − | 0.763425i | \(-0.276484\pi\) |
0.177651 | + | 0.984094i | \(0.443150\pi\) | |||||||
\(798\) | 10.0383 | + | 13.2677i | 0.355353 | + | 0.469672i | ||||
\(799\) | −14.1903 | − | 8.19279i | −0.502018 | − | 0.289840i | ||||
\(800\) | 9.57886 | + | 27.5430i | 0.338664 | + | 0.973792i | ||||
\(801\) | −2.88597 | − | 4.31741i | −0.101971 | − | 0.152548i | ||||
\(802\) | 21.2515 | − | 5.69433i | 0.750418 | − | 0.201074i | ||||
\(803\) | −12.5358 | − | 12.5358i | −0.442379 | − | 0.442379i | ||||
\(804\) | 23.7741 | − | 25.3881i | 0.838449 | − | 0.895371i | ||||
\(805\) | −6.30447 | − | 4.86931i | −0.222204 | − | 0.171621i | ||||
\(806\) | 0.575254 | + | 0.996369i | 0.0202625 | + | 0.0350956i | ||||
\(807\) | −4.70130 | + | 8.79750i | −0.165494 | + | 0.309687i | ||||
\(808\) | 11.9156 | − | 44.4695i | 0.419188 | − | 1.56443i | ||||
\(809\) | 4.30673 | + | 2.48649i | 0.151417 | + | 0.0874204i | 0.573794 | − | 0.819000i | \(-0.305471\pi\) |
−0.422377 | + | 0.906420i | \(0.638804\pi\) | |||||||
\(810\) | 10.2591 | + | 12.3968i | 0.360468 | + | 0.435580i | ||||
\(811\) | − | 36.7094i | − | 1.28904i | −0.764586 | − | 0.644521i | \(-0.777057\pi\) | ||
0.764586 | − | 0.644521i | \(-0.222943\pi\) | |||||||
\(812\) | −3.24727 | − | 8.81125i | −0.113957 | − | 0.309214i | ||||
\(813\) | −38.0036 | + | 23.6371i | −1.33284 | + | 0.828988i | ||||
\(814\) | 11.0187 | + | 6.36165i | 0.386205 | + | 0.222976i | ||||
\(815\) | 25.4687 | + | 13.4916i | 0.892128 | + | 0.472591i | ||||
\(816\) | 0.580543 | + | 1.91315i | 0.0203231 | + | 0.0669736i | ||||
\(817\) | 26.9350 | − | 26.9350i | 0.942336 | − | 0.942336i | ||||
\(818\) | −19.1188 | − | 19.1188i | −0.668474 | − | 0.668474i | ||||
\(819\) | 1.77642 | + | 2.19436i | 0.0620731 | + | 0.0766773i | ||||
\(820\) | 0.382810 | + | 1.24525i | 0.0133683 | + | 0.0434860i | ||||
\(821\) | −49.9596 | −1.74360 | −0.871801 | − | 0.489861i | \(-0.837048\pi\) | ||||
−0.871801 | + | 0.489861i | \(0.837048\pi\) | |||||||
\(822\) | −22.0394 | + | 13.7078i | −0.768712 | + | 0.478116i | ||||
\(823\) | −20.6485 | + | 20.6485i | −0.719763 | + | 0.719763i | −0.968557 | − | 0.248793i | \(-0.919966\pi\) |
0.248793 | + | 0.968557i | \(0.419966\pi\) | |||||||
\(824\) | 21.3229 | − | 36.9324i | 0.742819 | − | 1.28660i | ||||
\(825\) | −1.73397 | − | 16.3413i | −0.0603689 | − | 0.568932i | ||||
\(826\) | 15.6315 | − | 1.43103i | 0.543890 | − | 0.0497918i | ||||
\(827\) | −9.28844 | − | 9.28844i | −0.322991 | − | 0.322991i | 0.526923 | − | 0.849913i | \(-0.323346\pi\) |
−0.849913 | + | 0.526923i | \(0.823346\pi\) | |||||||
\(828\) | 5.20436 | − | 1.76773i | 0.180864 | − | 0.0614328i | ||||
\(829\) | 19.5190 | − | 33.8079i | 0.677923 | − | 1.17420i | −0.297683 | − | 0.954665i | \(-0.596214\pi\) |
0.975605 | − | 0.219532i | \(-0.0704529\pi\) | |||||||
\(830\) | 22.8042 | + | 21.1997i | 0.791545 | + | 0.735851i | ||||
\(831\) | −6.68980 | + | 28.7031i | −0.232067 | + | 0.995701i | ||||
\(832\) | 1.20867 | + | 0.323862i | 0.0419031 | + | 0.0112279i | ||||
\(833\) | −12.7375 | + | 6.06495i | −0.441328 | + | 0.210138i | ||||
\(834\) | −0.754554 | + | 3.23748i | −0.0261281 | + | 0.112105i | ||||
\(835\) | 17.4210 | + | 9.22851i | 0.602879 | + | 0.319366i | ||||
\(836\) | 10.1527 | + | 5.86164i | 0.351137 | + | 0.202729i | ||||
\(837\) | 2.06615 | + | 20.9178i | 0.0714167 | + | 0.723024i | ||||
\(838\) | 5.02725 | − | 18.7619i | 0.173663 | − | 0.648121i | ||||
\(839\) | −3.93769 | + | 6.82027i | −0.135944 | + | 0.235462i | −0.925958 | − | 0.377627i | \(-0.876740\pi\) |
0.790014 | + | 0.613089i | \(0.210073\pi\) | |||||||
\(840\) | 2.78289 | − | 27.3939i | 0.0960187 | − | 0.945181i | ||||
\(841\) | −11.0978 | − | 19.2220i | −0.382684 | − | 0.662829i | ||||
\(842\) | 3.85589 | − | 1.03318i | 0.132883 | − | 0.0356058i | ||||
\(843\) | −26.3529 | + | 49.3139i | −0.907642 | + | 1.69846i | ||||
\(844\) | −26.0745 | + | 15.0541i | −0.897521 | + | 0.518184i | ||||
\(845\) | −21.0830 | − | 19.5995i | −0.725276 | − | 0.674244i | ||||
\(846\) | −19.4604 | + | 1.27916i | −0.669063 | + | 0.0439786i | ||||
\(847\) | −6.76973 | − | 18.3692i | −0.232611 | − | 0.631173i | ||||
\(848\) | −1.29866 | − | 4.84668i | −0.0445963 | − | 0.166436i | ||||
\(849\) | −1.54992 | − | 1.45139i | −0.0531931 | − | 0.0498115i | ||||
\(850\) | −6.66594 | + | 4.52618i | −0.228640 | + | 0.155247i | ||||
\(851\) | 11.2915 | 0.387067 | ||||||||
\(852\) | 0.249088 | + | 7.58713i | 0.00853362 | + | 0.259931i | ||||
\(853\) | −35.2624 | + | 9.44853i | −1.20736 | + | 0.323512i | −0.805726 | − | 0.592288i | \(-0.798225\pi\) |
−0.401635 | + | 0.915800i | \(0.631558\pi\) | |||||||
\(854\) | −0.905168 | − | 9.88742i | −0.0309742 | − | 0.338340i | ||||
\(855\) | 10.8406 | + | 28.4646i | 0.370739 | + | 0.973468i | ||||
\(856\) | −5.93770 | − | 10.2844i | −0.202946 | − | 0.351513i | ||||
\(857\) | 30.5888 | + | 8.19624i | 1.04489 | + | 0.279978i | 0.740140 | − | 0.672453i | \(-0.234759\pi\) |
0.304753 | + | 0.952431i | \(0.401426\pi\) | |||||||
\(858\) | −0.824419 | − | 0.440562i | −0.0281452 | − | 0.0150405i | ||||
\(859\) | −29.1009 | + | 50.4042i | −0.992910 | + | 1.71977i | −0.393510 | + | 0.919320i | \(0.628739\pi\) |
−0.599400 | + | 0.800450i | \(0.704594\pi\) | |||||||
\(860\) | −25.5076 | + | 0.930102i | −0.869803 | + | 0.0317162i | ||||
\(861\) | 0.269315 | − | 1.94361i | 0.00917824 | − | 0.0662380i | ||||
\(862\) | 4.19769 | − | 1.12477i | 0.142974 | − | 0.0383098i | ||||
\(863\) | 3.39357 | + | 0.909305i | 0.115519 | + | 0.0309531i | 0.316115 | − | 0.948721i | \(-0.397621\pi\) |
−0.200597 | + | 0.979674i | \(0.564288\pi\) | |||||||
\(864\) | 23.4316 | + | 19.2188i | 0.797158 | + | 0.653836i | ||||
\(865\) | 27.2810 | + | 43.5094i | 0.927581 | + | 1.47936i | ||||
\(866\) | − | 14.3592i | − | 0.487945i | ||||||
\(867\) | 19.0292 | − | 11.8356i | 0.646266 | − | 0.401958i | ||||
\(868\) | 9.31574 | − | 11.1933i | 0.316197 | − | 0.379925i | ||||
\(869\) | 16.6563 | − | 9.61655i | 0.565028 | − | 0.326219i | ||||
\(870\) | 0.559081 | + | 8.05860i | 0.0189546 | + | 0.273212i | ||||
\(871\) | −4.54625 | + | 2.62478i | −0.154044 | + | 0.0889372i | ||||
\(872\) | 15.5133 | − | 4.15678i | 0.525347 | − | 0.140766i | ||||
\(873\) | 6.33001 | + | 18.6361i | 0.214238 | + | 0.630738i | ||||
\(874\) | −4.88853 | −0.165357 | ||||||||
\(875\) | −28.9870 | + | 5.89514i | −0.979940 | + | 0.199292i | ||||
\(876\) | −6.39366 | − | 21.0700i | −0.216022 | − | 0.711888i | ||||
\(877\) | −1.88455 | + | 0.504963i | −0.0636366 | + | 0.0170514i | −0.290497 | − | 0.956876i | \(-0.593821\pi\) |
0.226860 | + | 0.973927i | \(0.427154\pi\) | |||||||
\(878\) | −5.75505 | − | 5.75505i | −0.194224 | − | 0.194224i | ||||
\(879\) | −2.30281 | + | 9.88042i | −0.0776720 | + | 0.333258i | ||||
\(880\) | −0.714082 | − | 2.32285i | −0.0240717 | − | 0.0783033i | ||||
\(881\) | 1.32904i | 0.0447765i | 0.999749 | + | 0.0223883i | \(0.00712700\pi\) | ||||
−0.999749 | + | 0.0223883i | \(0.992873\pi\) | |||||||
\(882\) | −8.59228 | + | 14.4263i | −0.289317 | + | 0.485760i | ||||
\(883\) | 24.9117 | − | 24.9117i | 0.838347 | − | 0.838347i | −0.150295 | − | 0.988641i | \(-0.548022\pi\) |
0.988641 | + | 0.150295i | \(0.0480222\pi\) | |||||||
\(884\) | − | 0.975424i | − | 0.0328070i | ||||||
\(885\) | 28.2063 | + | 5.49877i | 0.948145 | + | 0.184839i | ||||
\(886\) | −3.71387 | −0.124770 | ||||||||
\(887\) | 7.45696 | + | 27.8298i | 0.250380 | + | 0.934432i | 0.970602 | + | 0.240688i | \(0.0773732\pi\) |
−0.720222 | + | 0.693744i | \(0.755960\pi\) | |||||||
\(888\) | 20.6135 | + | 33.1423i | 0.691745 | + | 1.11218i | ||||
\(889\) | −21.2858 | + | 1.94866i | −0.713903 | + | 0.0653560i | ||||
\(890\) | 1.44880 | − | 2.73495i | 0.0485638 | − | 0.0916756i | ||||
\(891\) | −10.4014 | − | 13.5448i | −0.348458 | − | 0.453768i | ||||
\(892\) | 0.743914 | + | 2.77633i | 0.0249081 | + | 0.0929583i | ||||
\(893\) | −35.6579 | − | 9.55452i | −1.19325 | − | 0.319730i | ||||
\(894\) | −1.66840 | − | 5.49813i | −0.0557997 | − | 0.183885i | ||||
\(895\) | 10.3605 | + | 9.63150i | 0.346313 | + | 0.321946i | ||||
\(896\) | −2.13504 | − | 23.3216i | −0.0713266 | − | 0.779121i | ||||
\(897\) | −0.829115 | + | 0.0272201i | −0.0276833 | + | 0.000908853i | ||||
\(898\) | 20.4020 | − | 20.4020i | 0.680825 | − | 0.680825i | ||||
\(899\) | −5.27599 | + | 9.13829i | −0.175964 | + | 0.304779i | ||||
\(900\) | 7.66641 | − | 18.9154i | 0.255547 | − | 0.630514i | ||||
\(901\) | 15.2909 | − | 8.82820i | 0.509413 | − | 0.294110i | ||||
\(902\) | 0.168143 | + | 0.627517i | 0.00559854 | + | 0.0208940i | ||||
\(903\) | 35.4172 | + | 14.9528i | 1.17861 | + | 0.497597i | ||||
\(904\) | −44.2225 | + | 25.5319i | −1.47082 | + | 0.849177i | ||||
\(905\) | 9.74217 | − | 42.4966i | 0.323841 | − | 1.41264i | ||||
\(906\) | −4.89337 | + | 20.9954i | −0.162571 | + | 0.697525i | ||||
\(907\) | 8.77204 | − | 32.7377i | 0.291271 | − | 1.08704i | −0.652863 | − | 0.757476i | \(-0.726432\pi\) |
0.944134 | − | 0.329562i | \(-0.106901\pi\) | |||||||
\(908\) | −0.806139 | + | 3.00855i | −0.0267527 | + | 0.0998423i | ||||
\(909\) | −42.7309 | + | 28.5634i | −1.41729 | + | 0.947390i | ||||
\(910\) | −0.648812 | + | 1.55248i | −0.0215079 | + | 0.0514642i | ||||
\(911\) | 3.92417 | − | 6.79686i | 0.130013 | − | 0.225190i | −0.793668 | − | 0.608351i | \(-0.791831\pi\) |
0.923681 | + | 0.383161i | \(0.125165\pi\) | |||||||
\(912\) | 2.37893 | + | 3.82483i | 0.0787743 | + | 0.126653i | ||||
\(913\) | −23.3662 | − | 23.3662i | −0.773309 | − | 0.773309i | ||||
\(914\) | 21.8461i | 0.722604i | ||||||||
\(915\) | 3.47814 | − | 17.8414i | 0.114984 | − | 0.589817i | ||||
\(916\) | −0.155232 | − | 0.0896229i | −0.00512899 | − | 0.00296123i | ||||
\(917\) | −24.2389 | + | 8.93292i | −0.800438 | + | 0.294991i | ||||
\(918\) | −3.45364 | + | 7.62805i | −0.113987 | + | 0.251763i | ||||
\(919\) | −45.5357 | + | 26.2901i | −1.50208 | + | 0.867229i | −0.502088 | + | 0.864817i | \(0.667435\pi\) |
−0.999997 | + | 0.00241227i | \(0.999232\pi\) | |||||||
\(920\) | 5.92556 | + | 5.50863i | 0.195360 | + | 0.181614i | ||||
\(921\) | −6.32417 | + | 6.75351i | −0.208388 | + | 0.222536i | ||||
\(922\) | −0.531264 | − | 1.98271i | −0.0174963 | − | 0.0652969i | ||||
\(923\) | 0.296537 | − | 1.10669i | 0.00976064 | − | 0.0364272i | ||||
\(924\) | −1.62395 | + | 11.7198i | −0.0534239 | + | 0.385552i | ||||
\(925\) | 27.4104 | − | 31.7290i | 0.901249 | − | 1.04324i | ||||
\(926\) | −9.93329 | − | 17.2050i | −0.326428 | − | 0.565390i | ||||
\(927\) | −45.0815 | + | 15.3125i | −1.48067 | + | 0.502930i | ||||
\(928\) | 3.93752 | + | 14.6950i | 0.129255 | + | 0.482387i | ||||
\(929\) | 38.9194 | 1.27690 | 0.638452 | − | 0.769661i | \(-0.279575\pi\) | ||||
0.638452 | + | 0.769661i | \(0.279575\pi\) | |||||||
\(930\) | −10.3893 | + | 6.99941i | −0.340679 | + | 0.229520i | ||||
\(931\) | −24.1826 | + | 20.6257i | −0.792552 | + | 0.675981i | ||||
\(932\) | 2.66715 | − | 9.95394i | 0.0873654 | − | 0.326052i | ||||
\(933\) | −1.19141 | − | 36.2899i | −0.0390050 | − | 1.18808i | ||||
\(934\) | −7.96787 | − | 13.8008i | −0.260717 | − | 0.451575i | ||||
\(935\) | 7.24492 | − | 4.54267i | 0.236934 | − | 0.148561i | ||||
\(936\) | −1.59351 | − | 2.38389i | −0.0520855 | − | 0.0779199i | ||||
\(937\) | 20.1650 | − | 20.1650i | 0.658760 | − | 0.658760i | −0.296326 | − | 0.955087i | \(-0.595762\pi\) |
0.955087 | + | 0.296326i | \(0.0957616\pi\) | |||||||
\(938\) | −23.9976 | − | 19.9723i | −0.783549 | − | 0.652118i | ||||
\(939\) | −15.7518 | − | 14.7504i | −0.514042 | − | 0.481362i | ||||
\(940\) | 13.1407 | + | 20.9576i | 0.428602 | + | 0.683561i | ||||
\(941\) | 7.21932i | 0.235343i | 0.993053 | + | 0.117672i | \(0.0375430\pi\) | ||||
−0.993053 | + | 0.117672i | \(0.962457\pi\) | |||||||
\(942\) | 28.8851 | − | 0.948309i | 0.941129 | − | 0.0308976i | ||||
\(943\) | 0.407679 | + | 0.407679i | 0.0132759 | + | 0.0132759i | ||||
\(944\) | 4.24969 | 0.138316 | ||||||||
\(945\) | −22.4970 | + | 20.9495i | −0.731829 | + | 0.681489i | ||||
\(946\) | −12.7284 | −0.413837 | ||||||||
\(947\) | 25.8448 | + | 25.8448i | 0.839842 | + | 0.839842i | 0.988838 | − | 0.148996i | \(-0.0476042\pi\) |
−0.148996 | + | 0.988838i | \(0.547604\pi\) | |||||||
\(948\) | 23.8747 | − | 0.783816i | 0.775416 | − | 0.0254572i | ||||
\(949\) | 3.32325i | 0.107877i | ||||||||
\(950\) | −11.8670 | + | 13.7367i | −0.385017 | + | 0.445678i | ||||
\(951\) | 18.6855 | + | 17.4976i | 0.605919 | + | 0.567398i | ||||
\(952\) | 13.4444 | − | 4.95477i | 0.435737 | − | 0.160585i | ||||
\(953\) | −22.4458 | + | 22.4458i | −0.727090 | + | 0.727090i | −0.970039 | − | 0.242949i | \(-0.921885\pi\) |
0.242949 | + | 0.970039i | \(0.421885\pi\) | |||||||
\(954\) | 9.29116 | − | 18.8495i | 0.300812 | − | 0.610275i | ||||
\(955\) | −48.5447 | − | 11.1287i | −1.57087 | − | 0.360115i | ||||
\(956\) | −6.14570 | − | 10.6447i | −0.198766 | − | 0.344273i | ||||
\(957\) | −0.281308 | − | 8.56855i | −0.00909340 | − | 0.276982i | ||||
\(958\) | −2.82249 | + | 10.5337i | −0.0911906 | + | 0.340328i | ||||
\(959\) | −28.6033 | − | 40.5016i | −0.923648 | − | 1.30787i | ||||
\(960\) | −2.60703 | + | 13.3729i | −0.0841415 | + | 0.431609i | ||||
\(961\) | 14.6362 | 0.472135 | ||||||||
\(962\) | −0.617292 | − | 2.30377i | −0.0199023 | − | 0.0742764i | ||||
\(963\) | −2.58408 | + | 13.0038i | −0.0832709 | + | 0.419041i | ||||
\(964\) | −10.9397 | − | 18.9481i | −0.352344 | − | 0.610278i | ||||
\(965\) | 17.9400 | − | 11.2486i | 0.577509 | − | 0.362106i | ||||
\(966\) | −1.85708 | − | 4.57091i | −0.0597507 | − | 0.147067i | ||||
\(967\) | 14.7290 | − | 54.9695i | 0.473654 | − | 1.76770i | −0.152816 | − | 0.988255i | \(-0.548834\pi\) |
0.626470 | − | 0.779446i | \(-0.284499\pi\) | |||||||
\(968\) | 5.14614 | + | 19.2056i | 0.165403 | + | 0.617293i | ||||
\(969\) | −10.8338 | + | 11.5693i | −0.348033 | + | 0.371661i | ||||
\(970\) | −7.98653 | + | 8.59101i | −0.256432 | + | 0.275841i | ||||
\(971\) | 16.7190 | − | 9.65271i | 0.536538 | − | 0.309770i | −0.207137 | − | 0.978312i | \(-0.566415\pi\) |
0.743675 | + | 0.668542i | \(0.233081\pi\) | |||||||
\(972\) | −3.46492 | − | 20.9257i | −0.111137 | − | 0.671194i | ||||
\(973\) | −6.25854 | − | 1.07758i | −0.200640 | − | 0.0345458i | ||||
\(974\) | −0.583358 | − | 0.336802i | −0.0186920 | − | 0.0107918i | ||||
\(975\) | −1.93621 | + | 2.39588i | −0.0620083 | + | 0.0767297i | ||||
\(976\) | − | 2.68806i | − | 0.0860426i | ||||||
\(977\) | −13.3217 | − | 13.3217i | −0.426198 | − | 0.426198i | 0.461133 | − | 0.887331i | \(-0.347443\pi\) |
−0.887331 | + | 0.461133i | \(0.847443\pi\) | |||||||
\(978\) | 9.42782 | + | 15.1580i | 0.301468 | + | 0.484699i | ||||
\(979\) | −1.64236 | + | 2.84465i | −0.0524900 | + | 0.0909153i | ||||
\(980\) | 21.2783 | + | 0.910541i | 0.679710 | + | 0.0290862i | ||||
\(981\) | −16.0829 | − | 7.92744i | −0.513486 | − | 0.253104i | ||||
\(982\) | −5.09528 | + | 19.0158i | −0.162597 | + | 0.606820i | ||||
\(983\) | 10.2803 | − | 38.3668i | 0.327892 | − | 1.22371i | −0.583480 | − | 0.812127i | \(-0.698309\pi\) |
0.911372 | − | 0.411583i | \(-0.135024\pi\) | |||||||
\(984\) | −0.452352 | + | 1.94085i | −0.0144205 | + | 0.0618721i | ||||
\(985\) | −5.85292 | − | 9.33459i | −0.186490 | − | 0.297425i | ||||
\(986\) | −3.64037 | + | 2.10177i | −0.115933 | + | 0.0669340i | ||||
\(987\) | −4.61221 | − | 36.9708i | −0.146808 | − | 1.17679i | ||||
\(988\) | −0.568775 | − | 2.12270i | −0.0180951 | − | 0.0675319i | ||||
\(989\) | −9.78268 | + | 5.64803i | −0.311071 | + | 0.179597i | ||||
\(990\) | 4.16422 | − | 9.28705i | 0.132348 | − | 0.295162i | ||||
\(991\) | 23.0121 | − | 39.8581i | 0.731003 | − | 1.26613i | −0.225452 | − | 0.974254i | \(-0.572386\pi\) |
0.956455 | − | 0.291880i | \(-0.0942809\pi\) | |||||||
\(992\) | −16.6825 | + | 16.6825i | −0.529670 | + | 0.529670i | ||||
\(993\) | −11.3687 | + | 0.373240i | −0.360776 | + | 0.0118444i | ||||
\(994\) | 6.78579 | − | 0.621222i | 0.215232 | − | 0.0197040i | ||||
\(995\) | −0.707253 | + | 0.760783i | −0.0224214 | + | 0.0241184i | ||||
\(996\) | −11.9175 | − | 39.2735i | −0.377620 | − | 1.24443i | ||||
\(997\) | 18.8050 | + | 5.03879i | 0.595561 | + | 0.159580i | 0.543993 | − | 0.839089i | \(-0.316912\pi\) |
0.0515674 | + | 0.998670i | \(0.483578\pi\) | |||||||
\(998\) | 1.52837 | + | 5.70394i | 0.0483796 | + | 0.180555i | ||||
\(999\) | 7.08596 | − | 42.9941i | 0.224190 | − | 1.36027i |
(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 | 315.2.bs.e.52.16 | ✓ | 160 | |
3.2 | odd | 2 | 945.2.bv.e.262.25 | 160 | |||
5.3 | odd | 4 | inner | 315.2.bs.e.178.16 | yes | 160 | |
7.5 | odd | 6 | 315.2.cg.e.187.16 | yes | 160 | ||
9.4 | even | 3 | 315.2.cg.e.157.25 | yes | 160 | ||
9.5 | odd | 6 | 945.2.cj.e.577.16 | 160 | |||
15.8 | even | 4 | 945.2.bv.e.73.25 | 160 | |||
21.5 | even | 6 | 945.2.cj.e.397.25 | 160 | |||
35.33 | even | 12 | 315.2.cg.e.313.25 | yes | 160 | ||
45.13 | odd | 12 | 315.2.cg.e.283.16 | yes | 160 | ||
45.23 | even | 12 | 945.2.cj.e.388.25 | 160 | |||
63.5 | even | 6 | 945.2.bv.e.712.25 | 160 | |||
63.40 | odd | 6 | inner | 315.2.bs.e.292.16 | yes | 160 | |
105.68 | odd | 12 | 945.2.cj.e.208.16 | 160 | |||
315.68 | odd | 12 | 945.2.bv.e.523.25 | 160 | |||
315.103 | even | 12 | inner | 315.2.bs.e.103.16 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.16 | ✓ | 160 | 1.1 | even | 1 | trivial | |
315.2.bs.e.103.16 | yes | 160 | 315.103 | even | 12 | inner | |
315.2.bs.e.178.16 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.bs.e.292.16 | yes | 160 | 63.40 | odd | 6 | inner | |
315.2.cg.e.157.25 | yes | 160 | 9.4 | even | 3 | ||
315.2.cg.e.187.16 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.283.16 | yes | 160 | 45.13 | odd | 12 | ||
315.2.cg.e.313.25 | yes | 160 | 35.33 | even | 12 | ||
945.2.bv.e.73.25 | 160 | 15.8 | even | 4 | |||
945.2.bv.e.262.25 | 160 | 3.2 | odd | 2 | |||
945.2.bv.e.523.25 | 160 | 315.68 | odd | 12 | |||
945.2.bv.e.712.25 | 160 | 63.5 | even | 6 | |||
945.2.cj.e.208.16 | 160 | 105.68 | odd | 12 | |||
945.2.cj.e.388.25 | 160 | 45.23 | even | 12 | |||
945.2.cj.e.397.25 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.577.16 | 160 | 9.5 | odd | 6 |