Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(11,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 8, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bw (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(152\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Character | \(\chi\) | \(=\) | 546.11 |
Dual form | 546.2.bw.a.149.3 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(e\left(\frac{7}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | − | 0.965926i | −0.183013 | − | 0.683013i | ||||
\(3\) | −1.45291 | − | 0.942896i | −0.838838 | − | 0.544381i | ||||
\(4\) | −0.866025 | + | 0.500000i | −0.433013 | + | 0.250000i | ||||
\(5\) | 0.0616403 | + | 0.0165165i | 0.0275664 | + | 0.00738639i | 0.272576 | − | 0.962134i | \(-0.412124\pi\) |
−0.245010 | + | 0.969521i | \(0.578791\pi\) | |||||||
\(6\) | −0.534727 | + | 1.64744i | −0.218301 | + | 0.672566i | ||||
\(7\) | −1.95035 | − | 1.78777i | −0.737164 | − | 0.675713i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 1.22189 | + | 2.73989i | 0.407298 | + | 0.913295i | ||||
\(10\) | − | 0.0638147i | − | 0.0201800i | ||||||
\(11\) | −2.02888 | − | 2.02888i | −0.611731 | − | 0.611731i | 0.331666 | − | 0.943397i | \(-0.392389\pi\) |
−0.943397 | + | 0.331666i | \(0.892389\pi\) | |||||||
\(12\) | 1.72970 | + | 0.0901172i | 0.499323 | + | 0.0260146i | ||||
\(13\) | −3.41151 | − | 1.16687i | −0.946183 | − | 0.323632i | ||||
\(14\) | −1.22206 | + | 2.34661i | −0.326610 | + | 0.627157i | ||||
\(15\) | −0.0739845 | − | 0.0821173i | −0.0191027 | − | 0.0212026i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 3.68810 | + | 6.38798i | 0.894496 | + | 1.54931i | 0.834427 | + | 0.551118i | \(0.185799\pi\) |
0.0600684 | + | 0.998194i | \(0.480868\pi\) | |||||||
\(18\) | 2.33028 | − | 1.88939i | 0.549252 | − | 0.445334i | ||||
\(19\) | 1.41225 | + | 1.41225i | 0.323993 | + | 0.323993i | 0.850297 | − | 0.526304i | \(-0.176422\pi\) |
−0.526304 | + | 0.850297i | \(0.676422\pi\) | |||||||
\(20\) | −0.0616403 | + | 0.0165165i | −0.0137832 | + | 0.00369319i | ||||
\(21\) | 1.14801 | + | 4.43645i | 0.250516 | + | 0.968113i | ||||
\(22\) | −1.43464 | + | 2.48486i | −0.305865 | + | 0.529774i | ||||
\(23\) | −3.36433 | + | 5.82719i | −0.701512 | + | 1.21505i | 0.266424 | + | 0.963856i | \(0.414158\pi\) |
−0.967936 | + | 0.251198i | \(0.919175\pi\) | |||||||
\(24\) | −0.360634 | − | 1.69409i | −0.0736141 | − | 0.345805i | ||||
\(25\) | −4.32660 | − | 2.49796i | −0.865320 | − | 0.499593i | ||||
\(26\) | −0.244148 | + | 3.59728i | −0.0478814 | + | 0.705484i | ||||
\(27\) | 0.808127 | − | 5.13293i | 0.155524 | − | 0.987832i | ||||
\(28\) | 2.58294 | + | 0.573077i | 0.488130 | + | 0.108301i | ||||
\(29\) | −5.29198 | + | 3.05533i | −0.982697 | + | 0.567360i | −0.903083 | − | 0.429466i | \(-0.858702\pi\) |
−0.0796134 | + | 0.996826i | \(0.525369\pi\) | |||||||
\(30\) | −0.0601706 | + | 0.0927170i | −0.0109856 | + | 0.0169277i | ||||
\(31\) | 7.28731 | − | 1.95263i | 1.30884 | − | 0.350703i | 0.464054 | − | 0.885807i | \(-0.346394\pi\) |
0.844786 | + | 0.535104i | \(0.179728\pi\) | |||||||
\(32\) | −0.965926 | − | 0.258819i | −0.170753 | − | 0.0457532i | ||||
\(33\) | 1.03476 | + | 4.86081i | 0.180128 | + | 0.846158i | ||||
\(34\) | 5.21576 | − | 5.21576i | 0.894496 | − | 0.894496i | ||||
\(35\) | −0.0906927 | − | 0.142412i | −0.0153299 | − | 0.0240719i | ||||
\(36\) | −2.42813 | − | 1.76186i | −0.404689 | − | 0.293644i | ||||
\(37\) | 2.48142 | + | 9.26079i | 0.407943 | + | 1.52246i | 0.798562 | + | 0.601912i | \(0.205594\pi\) |
−0.390619 | + | 0.920552i | \(0.627739\pi\) | |||||||
\(38\) | 0.998614 | − | 1.72965i | 0.161997 | − | 0.280586i | ||||
\(39\) | 3.85638 | + | 4.91206i | 0.617515 | + | 0.786559i | ||||
\(40\) | 0.0319074 | + | 0.0552652i | 0.00504500 | + | 0.00873819i | ||||
\(41\) | 7.09123 | + | 1.90009i | 1.10746 | + | 0.296744i | 0.765800 | − | 0.643078i | \(-0.222343\pi\) |
0.341664 | + | 0.939822i | \(0.389010\pi\) | |||||||
\(42\) | 3.98815 | − | 2.25713i | 0.615386 | − | 0.348282i | ||||
\(43\) | −3.51770 | − | 2.03094i | −0.536444 | − | 0.309716i | 0.207193 | − | 0.978300i | \(-0.433567\pi\) |
−0.743637 | + | 0.668584i | \(0.766901\pi\) | |||||||
\(44\) | 2.77150 | + | 0.742622i | 0.417820 | + | 0.111955i | ||||
\(45\) | 0.0300646 | + | 0.189069i | 0.00448177 | + | 0.0281847i | ||||
\(46\) | 6.49939 | + | 1.74151i | 0.958283 | + | 0.256771i | ||||
\(47\) | −0.419389 | + | 1.56518i | −0.0611742 | + | 0.228305i | −0.989744 | − | 0.142853i | \(-0.954372\pi\) |
0.928570 | + | 0.371158i | \(0.121039\pi\) | |||||||
\(48\) | −1.54303 | + | 0.786809i | −0.222717 | + | 0.113566i | ||||
\(49\) | 0.607759 | + | 6.97357i | 0.0868227 | + | 0.996224i | ||||
\(50\) | −1.29304 | + | 4.82570i | −0.182864 | + | 0.682456i | ||||
\(51\) | 0.664722 | − | 12.7587i | 0.0930797 | − | 1.78657i | ||||
\(52\) | 3.53789 | − | 0.695214i | 0.490617 | − | 0.0964089i | ||||
\(53\) | 2.24038 | + | 1.29348i | 0.307739 | + | 0.177673i | 0.645914 | − | 0.763410i | \(-0.276476\pi\) |
−0.338175 | + | 0.941083i | \(0.609810\pi\) | |||||||
\(54\) | −5.16718 | + | 0.547908i | −0.703165 | + | 0.0745609i | ||||
\(55\) | −0.0915509 | − | 0.158571i | −0.0123447 | − | 0.0213817i | ||||
\(56\) | −0.114964 | − | 2.64325i | −0.0153627 | − | 0.353219i | ||||
\(57\) | −0.720268 | − | 3.38349i | −0.0954019 | − | 0.448154i | ||||
\(58\) | 4.32089 | + | 4.32089i | 0.567360 | + | 0.567360i | ||||
\(59\) | −1.01850 | + | 3.80111i | −0.132598 | + | 0.494862i | −0.999996 | − | 0.00275252i | \(-0.999124\pi\) |
0.867398 | + | 0.497614i | \(0.165791\pi\) | |||||||
\(60\) | 0.105131 | + | 0.0341235i | 0.0135724 | + | 0.00440532i | ||||
\(61\) | −12.0195 | −1.53894 | −0.769472 | − | 0.638680i | \(-0.779481\pi\) | ||||
−0.769472 | + | 0.638680i | \(0.779481\pi\) | |||||||
\(62\) | −3.77219 | − | 6.53363i | −0.479069 | − | 0.829771i | ||||
\(63\) | 2.51516 | − | 7.52821i | 0.316880 | − | 0.948465i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −0.191014 | − | 0.128272i | −0.0236924 | − | 0.0159102i | ||||
\(66\) | 4.42736 | − | 2.25757i | 0.544971 | − | 0.277887i | ||||
\(67\) | −9.71420 | − | 9.71420i | −1.18678 | − | 1.18678i | −0.977953 | − | 0.208825i | \(-0.933036\pi\) |
−0.208825 | − | 0.977953i | \(-0.566964\pi\) | |||||||
\(68\) | −6.38798 | − | 3.68810i | −0.774656 | − | 0.447248i | ||||
\(69\) | 10.3825 | − | 5.29417i | 1.24991 | − | 0.637343i | ||||
\(70\) | −0.114086 | + | 0.124461i | −0.0136359 | + | 0.0148760i | ||||
\(71\) | 1.57770 | + | 5.88807i | 0.187239 | + | 0.698786i | 0.994140 | + | 0.108099i | \(0.0344764\pi\) |
−0.806901 | + | 0.590687i | \(0.798857\pi\) | |||||||
\(72\) | −1.07338 | + | 2.80140i | −0.126499 | + | 0.330148i | ||||
\(73\) | −3.14037 | − | 11.7200i | −0.367552 | − | 1.37172i | −0.863928 | − | 0.503616i | \(-0.832003\pi\) |
0.496376 | − | 0.868108i | \(-0.334664\pi\) | |||||||
\(74\) | 8.30300 | − | 4.79374i | 0.965204 | − | 0.557261i | ||||
\(75\) | 3.93084 | + | 7.70885i | 0.453894 | + | 0.890141i | ||||
\(76\) | −1.92917 | − | 0.516921i | −0.221291 | − | 0.0592949i | ||||
\(77\) | 0.329864 | + | 7.58421i | 0.0375914 | + | 0.864301i | ||||
\(78\) | 3.74658 | − | 4.99631i | 0.424217 | − | 0.565721i | ||||
\(79\) | −0.00943991 | − | 0.0163504i | −0.00106207 | − | 0.00183956i | 0.865494 | − | 0.500919i | \(-0.167005\pi\) |
−0.866556 | + | 0.499080i | \(0.833671\pi\) | |||||||
\(80\) | 0.0451238 | − | 0.0451238i | 0.00504500 | − | 0.00504500i | ||||
\(81\) | −6.01395 | + | 6.69570i | −0.668217 | + | 0.743967i | ||||
\(82\) | − | 7.34138i | − | 0.810720i | ||||||
\(83\) | −5.45027 | + | 5.45027i | −0.598245 | + | 0.598245i | −0.939845 | − | 0.341600i | \(-0.889031\pi\) |
0.341600 | + | 0.939845i | \(0.389031\pi\) | |||||||
\(84\) | −3.21243 | − | 3.26807i | −0.350505 | − | 0.356576i | ||||
\(85\) | 0.121829 | + | 0.454671i | 0.0132142 | + | 0.0493160i | ||||
\(86\) | −1.05129 | + | 3.92348i | −0.113364 | + | 0.423080i | ||||
\(87\) | 10.5696 | + | 0.550675i | 1.13318 | + | 0.0590385i | ||||
\(88\) | − | 2.86927i | − | 0.305865i | ||||||
\(89\) | −4.96584 | + | 1.33059i | −0.526378 | + | 0.141043i | −0.512215 | − | 0.858857i | \(-0.671175\pi\) |
−0.0141627 | + | 0.999900i | \(0.504508\pi\) | |||||||
\(90\) | 0.174845 | − | 0.0779748i | 0.0184303 | − | 0.00821926i | ||||
\(91\) | 4.56755 | + | 8.37481i | 0.478810 | + | 0.877919i | ||||
\(92\) | − | 6.72866i | − | 0.701512i | ||||||
\(93\) | −12.4289 | − | 4.03418i | −1.28882 | − | 0.418325i | ||||
\(94\) | 1.62040 | 0.167131 | ||||||||
\(95\) | 0.0637263 | + | 0.110377i | 0.00653818 | + | 0.0113245i | ||||
\(96\) | 1.15936 | + | 1.28681i | 0.118327 | + | 0.131334i | ||||
\(97\) | −8.32635 | + | 2.23104i | −0.845412 | + | 0.226528i | −0.655426 | − | 0.755259i | \(-0.727511\pi\) |
−0.189986 | + | 0.981787i | \(0.560844\pi\) | |||||||
\(98\) | 6.57865 | − | 2.39194i | 0.664544 | − | 0.241623i | ||||
\(99\) | 3.07983 | − | 8.03798i | 0.309534 | − | 0.807848i | ||||
\(100\) | 4.99593 | 0.499593 | ||||||||
\(101\) | 14.6320 | 1.45593 | 0.727967 | − | 0.685612i | \(-0.240465\pi\) | ||||
0.727967 | + | 0.685612i | \(0.240465\pi\) | |||||||
\(102\) | −12.4960 | + | 2.66011i | −1.23728 | + | 0.263390i | ||||
\(103\) | −8.45378 | + | 4.88079i | −0.832976 | + | 0.480919i | −0.854871 | − | 0.518841i | \(-0.826364\pi\) |
0.0218944 | + | 0.999760i | \(0.493030\pi\) | |||||||
\(104\) | −1.58720 | − | 3.23741i | −0.155638 | − | 0.317454i | ||||
\(105\) | −0.00251100 | + | 0.292425i | −0.000245048 | + | 0.0285378i | ||||
\(106\) | 0.669555 | − | 2.49881i | 0.0650330 | − | 0.242706i | ||||
\(107\) | −13.2762 | − | 7.66502i | −1.28346 | − | 0.741006i | −0.305980 | − | 0.952038i | \(-0.598984\pi\) |
−0.977479 | + | 0.211032i | \(0.932317\pi\) | |||||||
\(108\) | 1.86660 | + | 4.84931i | 0.179614 | + | 0.466625i | ||||
\(109\) | −6.75678 | + | 1.81047i | −0.647182 | + | 0.173412i | −0.567455 | − | 0.823405i | \(-0.692072\pi\) |
−0.0797277 | + | 0.996817i | \(0.525405\pi\) | |||||||
\(110\) | −0.129472 | + | 0.129472i | −0.0123447 | + | 0.0123447i | ||||
\(111\) | 5.12668 | − | 15.7948i | 0.486603 | − | 1.49918i | ||||
\(112\) | −2.52343 | + | 0.795171i | −0.238442 | + | 0.0751366i | ||||
\(113\) | −14.8877 | − | 8.59544i | −1.40052 | − | 0.808591i | −0.406075 | − | 0.913840i | \(-0.633103\pi\) |
−0.994446 | + | 0.105249i | \(0.966436\pi\) | |||||||
\(114\) | −3.08178 | + | 1.57144i | −0.288635 | + | 0.147178i | ||||
\(115\) | −0.303623 | + | 0.303623i | −0.0283130 | + | 0.0283130i | ||||
\(116\) | 3.05533 | − | 5.29198i | 0.283680 | − | 0.491348i | ||||
\(117\) | −0.971405 | − | 10.7729i | −0.0898065 | − | 0.995959i | ||||
\(118\) | 3.93519 | 0.362264 | ||||||||
\(119\) | 4.22713 | − | 19.0523i | 0.387501 | − | 1.74652i | ||||
\(120\) | 0.00575080 | − | 0.110381i | 0.000524974 | − | 0.0100763i | ||||
\(121\) | − | 2.76728i | − | 0.251571i | ||||||
\(122\) | 3.11089 | + | 11.6100i | 0.281646 | + | 1.05112i | ||||
\(123\) | −8.51133 | − | 9.44695i | −0.767441 | − | 0.851803i | ||||
\(124\) | −5.33468 | + | 5.33468i | −0.479069 | + | 0.479069i | ||||
\(125\) | −0.451054 | − | 0.451054i | −0.0403435 | − | 0.0403435i | ||||
\(126\) | −7.92267 | − | 0.481014i | −0.705807 | − | 0.0428522i | ||||
\(127\) | −9.66461 | + | 5.57986i | −0.857595 | + | 0.495133i | −0.863206 | − | 0.504851i | \(-0.831547\pi\) |
0.00561101 | + | 0.999984i | \(0.498214\pi\) | |||||||
\(128\) | 0.965926 | − | 0.258819i | 0.0853766 | − | 0.0228766i | ||||
\(129\) | 3.19593 | + | 6.26760i | 0.281386 | + | 0.551832i | ||||
\(130\) | −0.0744636 | + | 0.217705i | −0.00653089 | + | 0.0190940i | ||||
\(131\) | 10.9983 | − | 6.34987i | 0.960926 | − | 0.554791i | 0.0644682 | − | 0.997920i | \(-0.479465\pi\) |
0.896458 | + | 0.443129i | \(0.146132\pi\) | |||||||
\(132\) | −3.32653 | − | 3.69220i | −0.289537 | − | 0.321365i | ||||
\(133\) | −0.229610 | − | 5.27918i | −0.0199097 | − | 0.457763i | ||||
\(134\) | −6.86898 | + | 11.8974i | −0.593389 | + | 1.02778i | ||||
\(135\) | 0.134591 | − | 0.303048i | 0.0115837 | − | 0.0260822i | ||||
\(136\) | −1.90910 | + | 7.12486i | −0.163704 | + | 0.610952i | ||||
\(137\) | −1.18988 | + | 4.44069i | −0.101658 | + | 0.379394i | −0.997945 | − | 0.0640820i | \(-0.979588\pi\) |
0.896286 | + | 0.443476i | \(0.146255\pi\) | |||||||
\(138\) | −7.80097 | − | 8.65850i | −0.664062 | − | 0.737061i | ||||
\(139\) | 0.680987 | − | 1.17950i | 0.0577605 | − | 0.100044i | −0.835699 | − | 0.549187i | \(-0.814937\pi\) |
0.893460 | + | 0.449143i | \(0.148271\pi\) | |||||||
\(140\) | 0.149748 | + | 0.0779857i | 0.0126560 | + | 0.00659099i | ||||
\(141\) | 2.08514 | − | 1.87863i | 0.175600 | − | 0.158209i | ||||
\(142\) | 5.27910 | − | 3.04789i | 0.443012 | − | 0.255773i | ||||
\(143\) | 4.55411 | + | 9.28900i | 0.380833 | + | 0.776785i | ||||
\(144\) | 2.98376 | + | 0.311752i | 0.248646 | + | 0.0259793i | ||||
\(145\) | −0.376663 | + | 0.100926i | −0.0312801 | + | 0.00838148i | ||||
\(146\) | −10.5079 | + | 6.06672i | −0.869638 | + | 0.502086i | ||||
\(147\) | 5.69233 | − | 10.7050i | 0.469495 | − | 0.882935i | ||||
\(148\) | −6.77937 | − | 6.77937i | −0.557261 | − | 0.557261i | ||||
\(149\) | −12.9891 | + | 12.9891i | −1.06411 | + | 1.06411i | −0.0663111 | + | 0.997799i | \(0.521123\pi\) |
−0.997799 | + | 0.0663111i | \(0.978877\pi\) | |||||||
\(150\) | 6.42880 | − | 5.79210i | 0.524909 | − | 0.472923i | ||||
\(151\) | 3.94834 | + | 14.7354i | 0.321311 | + | 1.19915i | 0.917968 | + | 0.396654i | \(0.129829\pi\) |
−0.596657 | + | 0.802496i | \(0.703505\pi\) | |||||||
\(152\) | 1.99723i | 0.161997i | ||||||||
\(153\) | −12.9959 | + | 17.9104i | −1.05065 | + | 1.44797i | ||||
\(154\) | 7.24041 | − | 2.28156i | 0.583449 | − | 0.183853i | ||||
\(155\) | 0.481443 | 0.0386704 | ||||||||
\(156\) | −5.79575 | − | 2.32578i | −0.464032 | − | 0.186212i | ||||
\(157\) | 7.51680 | − | 13.0195i | 0.599906 | − | 1.03907i | −0.392928 | − | 0.919569i | \(-0.628538\pi\) |
0.992834 | − | 0.119499i | \(-0.0381288\pi\) | |||||||
\(158\) | −0.0133500 | + | 0.0133500i | −0.00106207 | + | 0.00106207i | ||||
\(159\) | −2.03545 | − | 3.99175i | −0.161421 | − | 0.316567i | ||||
\(160\) | −0.0552652 | − | 0.0319074i | −0.00436909 | − | 0.00252250i | ||||
\(161\) | 16.9793 | − | 5.35044i | 1.33816 | − | 0.421674i | ||||
\(162\) | 8.02407 | + | 4.07606i | 0.630431 | + | 0.320245i | ||||
\(163\) | 2.72055 | − | 2.72055i | 0.213090 | − | 0.213090i | −0.592489 | − | 0.805579i | \(-0.701855\pi\) |
0.805579 | + | 0.592489i | \(0.201855\pi\) | |||||||
\(164\) | −7.09123 | + | 1.90009i | −0.553732 | + | 0.148372i | ||||
\(165\) | −0.0165006 | + | 0.316712i | −0.00128457 | + | 0.0246560i | ||||
\(166\) | 6.67519 | + | 3.85392i | 0.518095 | + | 0.299123i | ||||
\(167\) | 2.51086 | − | 9.37067i | 0.194296 | − | 0.725124i | −0.798151 | − | 0.602457i | \(-0.794189\pi\) |
0.992448 | − | 0.122667i | \(-0.0391448\pi\) | |||||||
\(168\) | −2.32528 | + | 3.94881i | −0.179399 | + | 0.304657i | ||||
\(169\) | 10.2768 | + | 7.96160i | 0.790524 | + | 0.612431i | ||||
\(170\) | 0.407647 | − | 0.235355i | 0.0312651 | − | 0.0180509i | ||||
\(171\) | −2.14379 | + | 5.59504i | −0.163940 | + | 0.427863i | ||||
\(172\) | 4.06189 | 0.309716 | ||||||||
\(173\) | −0.831334 | −0.0632051 | −0.0316026 | − | 0.999501i | \(-0.510061\pi\) | ||||
−0.0316026 | + | 0.999501i | \(0.510061\pi\) | |||||||
\(174\) | −2.20371 | − | 10.3520i | −0.167063 | − | 0.784783i | ||||
\(175\) | 3.97262 | + | 12.6069i | 0.300302 | + | 0.952990i | ||||
\(176\) | −2.77150 | + | 0.742622i | −0.208910 | + | 0.0559773i | ||||
\(177\) | 5.06384 | − | 4.56232i | 0.380622 | − | 0.342925i | ||||
\(178\) | 2.57051 | + | 4.45225i | 0.192668 | + | 0.333710i | ||||
\(179\) | −8.59560 | −0.642465 | −0.321233 | − | 0.947000i | \(-0.604097\pi\) | ||||
−0.321233 | + | 0.947000i | \(0.604097\pi\) | |||||||
\(180\) | −0.120571 | − | 0.148706i | −0.00898684 | − | 0.0110839i | ||||
\(181\) | 7.19578i | 0.534858i | 0.963578 | + | 0.267429i | \(0.0861741\pi\) | ||||
−0.963578 | + | 0.267429i | \(0.913826\pi\) | |||||||
\(182\) | 6.90728 | − | 6.57948i | 0.512001 | − | 0.487703i | ||||
\(183\) | 17.4633 | + | 11.3332i | 1.29092 | + | 0.837773i | ||||
\(184\) | −6.49939 | + | 1.74151i | −0.479141 | + | 0.128386i | ||||
\(185\) | 0.611822i | 0.0449821i | ||||||||
\(186\) | −0.679878 | + | 13.0496i | −0.0498511 | + | 0.956840i | ||||
\(187\) | 5.47773 | − | 20.4432i | 0.400571 | − | 1.49495i | ||||
\(188\) | −0.419389 | − | 1.56518i | −0.0305871 | − | 0.114153i | ||||
\(189\) | −10.7526 | + | 8.56628i | −0.782138 | + | 0.623105i | ||||
\(190\) | 0.0901225 | − | 0.0901225i | 0.00653818 | − | 0.00653818i | ||||
\(191\) | − | 18.8384i | − | 1.36310i | −0.731773 | − | 0.681549i | \(-0.761307\pi\) | ||
0.731773 | − | 0.681549i | \(-0.238693\pi\) | |||||||
\(192\) | 0.942896 | − | 1.45291i | 0.0680477 | − | 0.104855i | ||||
\(193\) | 13.8669 | − | 13.8669i | 0.998158 | − | 0.998158i | −0.00184006 | − | 0.999998i | \(-0.500586\pi\) |
0.999998 | + | 0.00184006i | \(0.000585709\pi\) | |||||||
\(194\) | 4.31003 | + | 7.46520i | 0.309442 | + | 0.535970i | ||||
\(195\) | 0.156578 | + | 0.366475i | 0.0112128 | + | 0.0262438i | ||||
\(196\) | −4.01312 | − | 5.73541i | −0.286651 | − | 0.409672i | ||||
\(197\) | 8.27998 | + | 2.21861i | 0.589924 | + | 0.158070i | 0.541418 | − | 0.840753i | \(-0.317888\pi\) |
0.0485054 | + | 0.998823i | \(0.484554\pi\) | |||||||
\(198\) | −8.56121 | − | 0.894502i | −0.608419 | − | 0.0635695i | ||||
\(199\) | 8.86925 | − | 5.12067i | 0.628725 | − | 0.362994i | −0.151533 | − | 0.988452i | \(-0.548421\pi\) |
0.780258 | + | 0.625458i | \(0.215088\pi\) | |||||||
\(200\) | −1.29304 | − | 4.82570i | −0.0914318 | − | 0.341228i | ||||
\(201\) | 4.95437 | + | 23.2733i | 0.349455 | + | 1.64157i | ||||
\(202\) | −3.78703 | − | 14.1334i | −0.266454 | − | 0.994422i | ||||
\(203\) | 15.7835 | + | 3.50188i | 1.10778 | + | 0.245784i | ||||
\(204\) | 5.80366 | + | 11.3817i | 0.406337 | + | 0.796877i | ||||
\(205\) | 0.405723 | + | 0.234244i | 0.0283369 | + | 0.0163603i | ||||
\(206\) | 6.90249 | + | 6.90249i | 0.480919 | + | 0.480919i | ||||
\(207\) | −20.0767 | − | 2.09768i | −1.39543 | − | 0.145799i | ||||
\(208\) | −2.71630 | + | 2.37102i | −0.188341 | + | 0.164401i | ||||
\(209\) | − | 5.73059i | − | 0.396393i | ||||||
\(210\) | 0.283111 | − | 0.0732597i | 0.0195365 | − | 0.00505540i | ||||
\(211\) | 0.659533 | + | 1.14234i | 0.0454041 | + | 0.0786423i | 0.887834 | − | 0.460163i | \(-0.152209\pi\) |
−0.842430 | + | 0.538805i | \(0.818876\pi\) | |||||||
\(212\) | −2.58696 | −0.177673 | ||||||||
\(213\) | 3.25958 | − | 10.0425i | 0.223343 | − | 0.688097i | ||||
\(214\) | −3.96771 | + | 14.8077i | −0.271227 | + | 1.01223i | ||||
\(215\) | −0.183288 | − | 0.183288i | −0.0125001 | − | 0.0125001i | ||||
\(216\) | 4.20096 | − | 3.05809i | 0.285839 | − | 0.208077i | ||||
\(217\) | −17.7037 | − | 9.21972i | −1.20180 | − | 0.625875i | ||||
\(218\) | 3.49757 | + | 6.05796i | 0.236885 | + | 0.410297i | ||||
\(219\) | −6.48808 | + | 19.9892i | −0.438424 | + | 1.35074i | ||||
\(220\) | 0.158571 | + | 0.0915509i | 0.0106908 | + | 0.00617236i | ||||
\(221\) | −5.12804 | − | 26.0962i | −0.344949 | − | 1.75542i | ||||
\(222\) | −16.5835 | − | 0.863996i | −1.11301 | − | 0.0579876i | ||||
\(223\) | −6.54947 | + | 24.4429i | −0.438585 | + | 1.63682i | 0.293755 | + | 0.955881i | \(0.405095\pi\) |
−0.732340 | + | 0.680940i | \(0.761572\pi\) | |||||||
\(224\) | 1.42119 | + | 2.23164i | 0.0949571 | + | 0.149108i | ||||
\(225\) | 1.55749 | − | 14.9066i | 0.103833 | − | 0.993776i | ||||
\(226\) | −4.44933 | + | 16.6051i | −0.295965 | + | 1.10456i | ||||
\(227\) | −15.5880 | − | 4.17679i | −1.03461 | − | 0.277223i | −0.298732 | − | 0.954337i | \(-0.596564\pi\) |
−0.735878 | + | 0.677114i | \(0.763230\pi\) | |||||||
\(228\) | 2.31551 | + | 2.57005i | 0.153349 | + | 0.170206i | ||||
\(229\) | 12.6766 | + | 3.39670i | 0.837696 | + | 0.224460i | 0.652069 | − | 0.758160i | \(-0.273901\pi\) |
0.185628 | + | 0.982620i | \(0.440568\pi\) | |||||||
\(230\) | 0.371861 | + | 0.214694i | 0.0245198 | + | 0.0141565i | ||||
\(231\) | 6.67186 | − | 11.3302i | 0.438976 | − | 0.745472i | ||||
\(232\) | −5.90244 | − | 1.58155i | −0.387514 | − | 0.103834i | ||||
\(233\) | 11.5956 | + | 20.0841i | 0.759650 | + | 1.31575i | 0.943029 | + | 0.332710i | \(0.107963\pi\) |
−0.183379 | + | 0.983042i | \(0.558704\pi\) | |||||||
\(234\) | −10.1544 | + | 3.72655i | −0.663817 | + | 0.243612i | ||||
\(235\) | −0.0517025 | + | 0.0895514i | −0.00337270 | + | 0.00584169i | ||||
\(236\) | −1.01850 | − | 3.80111i | −0.0662989 | − | 0.247431i | ||||
\(237\) | −0.00170140 | + | 0.0326565i | −0.000110517 | + | 0.00212127i | ||||
\(238\) | −19.4972 | + | 0.847999i | −1.26381 | + | 0.0549676i | ||||
\(239\) | −5.30204 | + | 5.30204i | −0.342960 | + | 0.342960i | −0.857479 | − | 0.514519i | \(-0.827971\pi\) |
0.514519 | + | 0.857479i | \(0.327971\pi\) | |||||||
\(240\) | −0.108108 | + | 0.0230138i | −0.00697834 | + | 0.00148553i | ||||
\(241\) | 6.82907 | + | 1.82984i | 0.439899 | + | 0.117871i | 0.471969 | − | 0.881615i | \(-0.343543\pi\) |
−0.0320703 | + | 0.999486i | \(0.510210\pi\) | |||||||
\(242\) | −2.67299 | + | 0.716225i | −0.171826 | + | 0.0460407i | ||||
\(243\) | 15.0511 | − | 4.05771i | 0.965527 | − | 0.260302i | ||||
\(244\) | 10.4092 | − | 6.00977i | 0.666382 | − | 0.384736i | ||||
\(245\) | −0.0777162 | + | 0.439891i | −0.00496511 | + | 0.0281036i | ||||
\(246\) | −6.92216 | + | 10.6664i | −0.441341 | + | 0.680063i | ||||
\(247\) | −3.17000 | − | 6.46584i | −0.201702 | − | 0.411411i | ||||
\(248\) | 6.53363 | + | 3.77219i | 0.414886 | + | 0.239534i | ||||
\(249\) | 13.0578 | − | 2.77971i | 0.827504 | − | 0.176157i | ||||
\(250\) | −0.318944 | + | 0.552427i | −0.0201718 | + | 0.0349385i | ||||
\(251\) | 5.60114 | − | 9.70146i | 0.353541 | − | 0.612351i | −0.633326 | − | 0.773885i | \(-0.718311\pi\) |
0.986867 | + | 0.161534i | \(0.0516441\pi\) | |||||||
\(252\) | 1.58591 | + | 7.77720i | 0.0999031 | + | 0.489918i | ||||
\(253\) | 18.6485 | − | 4.99685i | 1.17242 | − | 0.314150i | ||||
\(254\) | 7.89112 | + | 7.89112i | 0.495133 | + | 0.495133i | ||||
\(255\) | 0.251701 | − | 0.775468i | 0.0157622 | − | 0.0485617i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −6.15246 | + | 10.6564i | −0.383780 | + | 0.664727i | −0.991599 | − | 0.129349i | \(-0.958711\pi\) |
0.607819 | + | 0.794076i | \(0.292045\pi\) | |||||||
\(258\) | 5.22687 | − | 4.70920i | 0.325411 | − | 0.293182i | ||||
\(259\) | 11.7165 | − | 22.4980i | 0.728029 | − | 1.39796i | ||||
\(260\) | 0.229559 | + | 0.0155803i | 0.0142367 | + | 0.000966247i | ||||
\(261\) | −14.8375 | − | 10.7661i | −0.918418 | − | 0.666408i | ||||
\(262\) | −8.98008 | − | 8.98008i | −0.554791 | − | 0.554791i | ||||
\(263\) | − | 7.02318i | − | 0.433068i | −0.976275 | − | 0.216534i | \(-0.930525\pi\) | ||
0.976275 | − | 0.216534i | \(-0.0694752\pi\) | |||||||
\(264\) | −2.70543 | + | 4.16879i | −0.166507 | + | 0.256571i | ||||
\(265\) | 0.116734 | + | 0.116734i | 0.00717089 | + | 0.00717089i | ||||
\(266\) | −5.03987 | + | 1.58814i | −0.309014 | + | 0.0973750i | ||||
\(267\) | 8.46953 | + | 2.74904i | 0.518327 | + | 0.168239i | ||||
\(268\) | 13.2698 | + | 3.55564i | 0.810585 | + | 0.217196i | ||||
\(269\) | −6.34738 | + | 3.66466i | −0.387006 | + | 0.223438i | −0.680862 | − | 0.732411i | \(-0.738395\pi\) |
0.293856 | + | 0.955850i | \(0.405061\pi\) | |||||||
\(270\) | −0.327556 | − | 0.0515704i | −0.0199344 | − | 0.00313847i | ||||
\(271\) | −0.925125 | − | 3.45261i | −0.0561973 | − | 0.209731i | 0.932118 | − | 0.362155i | \(-0.117959\pi\) |
−0.988315 | + | 0.152424i | \(0.951292\pi\) | |||||||
\(272\) | 7.37620 | 0.447248 | ||||||||
\(273\) | 1.26033 | − | 16.4746i | 0.0762789 | − | 0.997087i | ||||
\(274\) | 4.59734 | 0.277735 | ||||||||
\(275\) | 3.71009 | + | 13.8462i | 0.223727 | + | 0.834959i | ||||
\(276\) | −6.34443 | + | 9.77614i | −0.381890 | + | 0.588455i | ||||
\(277\) | −13.9681 | + | 8.06447i | −0.839261 | + | 0.484547i | −0.857013 | − | 0.515295i | \(-0.827682\pi\) |
0.0177522 | + | 0.999842i | \(0.494349\pi\) | |||||||
\(278\) | −1.31556 | − | 0.352505i | −0.0789023 | − | 0.0211418i | ||||
\(279\) | 14.2543 | + | 17.5805i | 0.853383 | + | 1.05252i | ||||
\(280\) | 0.0365708 | − | 0.164830i | 0.00218552 | − | 0.00985045i | ||||
\(281\) | 1.46500 | + | 1.46500i | 0.0873944 | + | 0.0873944i | 0.749452 | − | 0.662058i | \(-0.230317\pi\) |
−0.662058 | + | 0.749452i | \(0.730317\pi\) | |||||||
\(282\) | −2.35429 | − | 1.52786i | −0.140196 | − | 0.0909830i | ||||
\(283\) | 13.1536i | 0.781901i | 0.920412 | + | 0.390951i | \(0.127854\pi\) | ||||
−0.920412 | + | 0.390951i | \(0.872146\pi\) | |||||||
\(284\) | −4.31037 | − | 4.31037i | −0.255773 | − | 0.255773i | ||||
\(285\) | 0.0114857 | − | 0.220455i | 0.000680352 | − | 0.0130586i | ||||
\(286\) | 7.79379 | − | 6.80310i | 0.460857 | − | 0.402276i | ||||
\(287\) | −10.4335 | − | 16.3833i | −0.615869 | − | 0.967077i | ||||
\(288\) | −0.471124 | − | 2.96278i | −0.0277612 | − | 0.174583i | ||||
\(289\) | −18.7042 | + | 32.3966i | −1.10025 | + | 1.90568i | ||||
\(290\) | 0.194975 | + | 0.337706i | 0.0114493 | + | 0.0198308i | ||||
\(291\) | 14.2011 | + | 4.60938i | 0.832481 | + | 0.270207i | ||||
\(292\) | 8.57964 | + | 8.57964i | 0.502086 | + | 0.502086i | ||||
\(293\) | −2.76503 | + | 0.740887i | −0.161535 | + | 0.0432831i | −0.338680 | − | 0.940902i | \(-0.609980\pi\) |
0.177145 | + | 0.984185i | \(0.443314\pi\) | |||||||
\(294\) | −11.8135 | − | 2.72771i | −0.688979 | − | 0.159083i | ||||
\(295\) | −0.125562 | + | 0.217479i | −0.00731048 | + | 0.0126621i | ||||
\(296\) | −4.79374 | + | 8.30300i | −0.278630 | + | 0.482602i | ||||
\(297\) | −12.0537 | + | 8.77450i | −0.699426 | + | 0.509148i | ||||
\(298\) | 15.9084 | + | 9.18469i | 0.921546 | + | 0.532055i | ||||
\(299\) | 18.2770 | − | 15.9538i | 1.05699 | − | 0.922631i | ||||
\(300\) | −7.25863 | − | 4.71064i | −0.419077 | − | 0.271969i | ||||
\(301\) | 3.22990 | + | 10.2499i | 0.186168 | + | 0.590794i | ||||
\(302\) | 13.2114 | − | 7.62761i | 0.760231 | − | 0.438919i | ||||
\(303\) | −21.2589 | − | 13.7964i | −1.22129 | − | 0.792584i | ||||
\(304\) | 1.92917 | − | 0.516921i | 0.110646 | − | 0.0296474i | ||||
\(305\) | −0.740888 | − | 0.198520i | −0.0424231 | − | 0.0113672i | ||||
\(306\) | 20.6637 | + | 7.91749i | 1.18127 | + | 0.452613i | ||||
\(307\) | 16.8516 | − | 16.8516i | 0.961771 | − | 0.961771i | −0.0375247 | − | 0.999296i | \(-0.511947\pi\) |
0.999296 | + | 0.0375247i | \(0.0119473\pi\) | |||||||
\(308\) | −4.07777 | − | 6.40319i | −0.232353 | − | 0.364855i | ||||
\(309\) | 16.8847 | + | 0.879687i | 0.960535 | + | 0.0500436i | ||||
\(310\) | −0.124606 | − | 0.465038i | −0.00707717 | − | 0.0264124i | ||||
\(311\) | −6.42706 | + | 11.1320i | −0.364445 | + | 0.631237i | −0.988687 | − | 0.149994i | \(-0.952075\pi\) |
0.624242 | + | 0.781231i | \(0.285408\pi\) | |||||||
\(312\) | −0.746481 | + | 6.20022i | −0.0422612 | + | 0.351019i | ||||
\(313\) | 10.5064 | + | 18.1975i | 0.593854 | + | 1.02859i | 0.993707 | + | 0.112007i | \(0.0357278\pi\) |
−0.399853 | + | 0.916579i | \(0.630939\pi\) | |||||||
\(314\) | −14.5213 | − | 3.89098i | −0.819487 | − | 0.219581i | ||||
\(315\) | 0.279375 | − | 0.422499i | 0.0157410 | − | 0.0238051i | ||||
\(316\) | 0.0163504 | + | 0.00943991i | 0.000919782 | + | 0.000531036i | ||||
\(317\) | 11.2679 | + | 3.01923i | 0.632870 | + | 0.169577i | 0.560972 | − | 0.827835i | \(-0.310428\pi\) |
0.0718984 | + | 0.997412i | \(0.477094\pi\) | |||||||
\(318\) | −3.32893 | + | 2.99923i | −0.186677 | + | 0.168189i | ||||
\(319\) | 16.9357 | + | 4.53791i | 0.948217 | + | 0.254074i | ||||
\(320\) | −0.0165165 | + | 0.0616403i | −0.000923298 | + | 0.00344580i | ||||
\(321\) | 12.0618 | + | 23.6547i | 0.673225 | + | 1.32027i | ||||
\(322\) | −9.56270 | − | 15.0160i | −0.532908 | − | 0.836807i | ||||
\(323\) | −3.81291 | + | 14.2300i | −0.212156 | + | 0.791777i | ||||
\(324\) | 1.86039 | − | 8.80562i | 0.103355 | − | 0.489201i | ||||
\(325\) | 11.8454 | + | 13.5704i | 0.657067 | + | 0.752752i | ||||
\(326\) | −3.33198 | − | 1.92372i | −0.184541 | − | 0.106545i | ||||
\(327\) | 11.5241 | + | 3.74049i | 0.637283 | + | 0.206849i | ||||
\(328\) | 3.67069 | + | 6.35782i | 0.202680 | + | 0.351052i | ||||
\(329\) | 3.61614 | − | 2.30289i | 0.199364 | − | 0.126962i | ||||
\(330\) | 0.310191 | − | 0.0660327i | 0.0170755 | − | 0.00363498i | ||||
\(331\) | −9.71495 | − | 9.71495i | −0.533982 | − | 0.533982i | 0.387773 | − | 0.921755i | \(-0.373244\pi\) |
−0.921755 | + | 0.387773i | \(0.873244\pi\) | |||||||
\(332\) | 1.99494 | − | 7.44521i | 0.109486 | − | 0.408609i | ||||
\(333\) | −22.3415 | + | 18.1145i | −1.22431 | + | 0.992669i | ||||
\(334\) | −9.70123 | −0.530828 | ||||||||
\(335\) | −0.438342 | − | 0.759230i | −0.0239492 | − | 0.0414812i | ||||
\(336\) | 4.41608 | + | 1.22402i | 0.240917 | + | 0.0667759i | ||||
\(337\) | − | 15.1865i | − | 0.827263i | −0.910444 | − | 0.413631i | \(-0.864260\pi\) | ||
0.910444 | − | 0.413631i | \(-0.135740\pi\) | |||||||
\(338\) | 5.03048 | − | 11.9873i | 0.273622 | − | 0.652021i | ||||
\(339\) | 13.5259 | + | 26.5260i | 0.734628 | + | 1.44069i | ||||
\(340\) | −0.332842 | − | 0.332842i | −0.0180509 | − | 0.0180509i | ||||
\(341\) | −18.7467 | − | 10.8234i | −1.01519 | − | 0.586122i | ||||
\(342\) | 5.95924 | + | 0.622640i | 0.322239 | + | 0.0336685i | ||||
\(343\) | 11.2818 | − | 14.6875i | 0.609159 | − | 0.793048i | ||||
\(344\) | −1.05129 | − | 3.92348i | −0.0566820 | − | 0.211540i | ||||
\(345\) | 0.727422 | − | 0.154852i | 0.0391631 | − | 0.00833694i | ||||
\(346\) | 0.215165 | + | 0.803007i | 0.0115673 | + | 0.0431699i | ||||
\(347\) | −3.65110 | + | 2.10796i | −0.196001 | + | 0.113161i | −0.594789 | − | 0.803882i | \(-0.702764\pi\) |
0.398788 | + | 0.917043i | \(0.369431\pi\) | |||||||
\(348\) | −9.42891 | + | 4.80792i | −0.505442 | + | 0.257731i | ||||
\(349\) | −13.5656 | − | 3.63490i | −0.726151 | − | 0.194572i | −0.123236 | − | 0.992377i | \(-0.539327\pi\) |
−0.602914 | + | 0.797806i | \(0.705994\pi\) | |||||||
\(350\) | 11.1491 | − | 7.10015i | 0.595946 | − | 0.379519i | ||||
\(351\) | −8.74641 | + | 16.5681i | −0.466849 | + | 0.884337i | ||||
\(352\) | 1.43464 | + | 2.48486i | 0.0764663 | + | 0.132444i | ||||
\(353\) | −6.57810 | + | 6.57810i | −0.350117 | + | 0.350117i | −0.860153 | − | 0.510036i | \(-0.829632\pi\) |
0.510036 | + | 0.860153i | \(0.329632\pi\) | |||||||
\(354\) | −5.71748 | − | 3.71048i | −0.303881 | − | 0.197210i | ||||
\(355\) | 0.389001i | 0.0206460i | ||||||||
\(356\) | 3.63525 | − | 3.63525i | 0.192668 | − | 0.192668i | ||||
\(357\) | −24.1060 | + | 23.6955i | −1.27582 | + | 1.25410i | ||||
\(358\) | 2.22471 | + | 8.30271i | 0.117579 | + | 0.438812i | ||||
\(359\) | −5.89393 | + | 21.9964i | −0.311070 | + | 1.16093i | 0.616524 | + | 0.787336i | \(0.288540\pi\) |
−0.927593 | + | 0.373591i | \(0.878126\pi\) | |||||||
\(360\) | −0.112433 | + | 0.154951i | −0.00592573 | + | 0.00816662i | ||||
\(361\) | − | 15.0111i | − | 0.790057i | ||||||
\(362\) | 6.95059 | − | 1.86240i | 0.365315 | − | 0.0978858i | ||||
\(363\) | −2.60926 | + | 4.02061i | −0.136951 | + | 0.211027i | ||||
\(364\) | −8.14302 | − | 4.96902i | −0.426810 | − | 0.260448i | ||||
\(365\) | − | 0.774292i | − | 0.0405283i | ||||||
\(366\) | 6.42717 | − | 19.8015i | 0.335954 | − | 1.03504i | ||||
\(367\) | −10.8132 | −0.564445 | −0.282223 | − | 0.959349i | \(-0.591072\pi\) | ||||
−0.282223 | + | 0.959349i | \(0.591072\pi\) | |||||||
\(368\) | 3.36433 | + | 5.82719i | 0.175378 | + | 0.303763i | ||||
\(369\) | 3.45870 | + | 21.7509i | 0.180053 | + | 1.13230i | ||||
\(370\) | 0.590975 | − | 0.158351i | 0.0307233 | − | 0.00823229i | ||||
\(371\) | −2.05708 | − | 6.52802i | −0.106798 | − | 0.338918i | ||||
\(372\) | 12.7809 | − | 2.72076i | 0.662657 | − | 0.141065i | ||||
\(373\) | −6.92100 | −0.358356 | −0.179178 | − | 0.983817i | \(-0.557344\pi\) | ||||
−0.179178 | + | 0.983817i | \(0.557344\pi\) | |||||||
\(374\) | −21.1643 | −1.09438 | ||||||||
\(375\) | 0.230044 | + | 1.08064i | 0.0118794 | + | 0.0558039i | ||||
\(376\) | −1.40330 | + | 0.810198i | −0.0723698 | + | 0.0417828i | ||||
\(377\) | 21.6188 | − | 4.24821i | 1.11343 | − | 0.218794i | ||||
\(378\) | 11.0574 | + | 8.16912i | 0.568730 | + | 0.420174i | ||||
\(379\) | 0.537820 | − | 2.00717i | 0.0276260 | − | 0.103101i | −0.950736 | − | 0.310001i | \(-0.899671\pi\) |
0.978362 | + | 0.206899i | \(0.0663373\pi\) | |||||||
\(380\) | −0.110377 | − | 0.0637263i | −0.00566223 | − | 0.00326909i | ||||
\(381\) | 19.3030 | + | 1.00568i | 0.988924 | + | 0.0515227i | ||||
\(382\) | −18.1965 | + | 4.87573i | −0.931013 | + | 0.249464i | ||||
\(383\) | −17.1669 | + | 17.1669i | −0.877190 | + | 0.877190i | −0.993243 | − | 0.116053i | \(-0.962976\pi\) |
0.116053 | + | 0.993243i | \(0.462976\pi\) | |||||||
\(384\) | −1.64744 | − | 0.534727i | −0.0840707 | − | 0.0272877i | ||||
\(385\) | −0.104931 | + | 0.472941i | −0.00534780 | + | 0.0241033i | ||||
\(386\) | −16.9834 | − | 9.80535i | −0.864430 | − | 0.499079i | ||||
\(387\) | 1.26630 | − | 12.1197i | 0.0643698 | − | 0.616078i | ||||
\(388\) | 6.09531 | − | 6.09531i | 0.309442 | − | 0.309442i | ||||
\(389\) | 4.59226 | − | 7.95403i | 0.232837 | − | 0.403285i | −0.725805 | − | 0.687901i | \(-0.758533\pi\) |
0.958642 | + | 0.284615i | \(0.0918658\pi\) | |||||||
\(390\) | 0.313462 | − | 0.246094i | 0.0158728 | − | 0.0124614i | ||||
\(391\) | −49.6320 | −2.51000 | ||||||||
\(392\) | −4.50131 | + | 5.36081i | −0.227350 | + | 0.270762i | ||||
\(393\) | −21.9668 | − | 1.14447i | −1.10808 | − | 0.0577306i | ||||
\(394\) | − | 8.57206i | − | 0.431854i | ||||||
\(395\) | −0.000311828 | − | 0.00116376i | −1.56898e−5 | − | 5.85550e-5i | ||||
\(396\) | 1.35178 | + | 8.50101i | 0.0679296 | + | 0.427192i | ||||
\(397\) | 11.6310 | − | 11.6310i | 0.583744 | − | 0.583744i | −0.352186 | − | 0.935930i | \(-0.614561\pi\) |
0.935930 | + | 0.352186i | \(0.114561\pi\) | |||||||
\(398\) | −7.24172 | − | 7.24172i | −0.362994 | − | 0.362994i | ||||
\(399\) | −4.64411 | + | 7.88667i | −0.232497 | + | 0.394827i | ||||
\(400\) | −4.32660 | + | 2.49796i | −0.216330 | + | 0.124898i | ||||
\(401\) | 9.11597 | − | 2.44262i | 0.455230 | − | 0.121978i | −0.0239157 | − | 0.999714i | \(-0.507613\pi\) |
0.479145 | + | 0.877736i | \(0.340947\pi\) | |||||||
\(402\) | 21.1980 | − | 10.8091i | 1.05726 | − | 0.539111i | ||||
\(403\) | −27.1392 | − | 1.84195i | −1.35190 | − | 0.0917540i | ||||
\(404\) | −12.6716 | + | 7.31598i | −0.630438 | + | 0.363984i | ||||
\(405\) | −0.481291 | + | 0.313396i | −0.0239155 | + | 0.0155727i | ||||
\(406\) | −0.702507 | − | 16.1520i | −0.0348648 | − | 0.801611i | ||||
\(407\) | 13.7545 | − | 23.8236i | 0.681787 | − | 1.18089i | ||||
\(408\) | 9.49176 | − | 8.55170i | 0.469912 | − | 0.423372i | ||||
\(409\) | 5.78815 | − | 21.6017i | 0.286206 | − | 1.06813i | −0.661748 | − | 0.749726i | \(-0.730185\pi\) |
0.947954 | − | 0.318408i | \(-0.103148\pi\) | |||||||
\(410\) | 0.121254 | − | 0.452525i | 0.00598829 | − | 0.0223486i | ||||
\(411\) | 5.91589 | − | 5.32999i | 0.291810 | − | 0.262909i | ||||
\(412\) | 4.88079 | − | 8.45378i | 0.240460 | − | 0.416488i | ||||
\(413\) | 8.78194 | − | 5.59265i | 0.432131 | − | 0.275196i | ||||
\(414\) | 3.17003 | + | 19.9355i | 0.155799 | + | 0.979778i | ||||
\(415\) | −0.425975 | + | 0.245937i | −0.0209103 | + | 0.0120726i | ||||
\(416\) | 2.99326 | + | 2.01008i | 0.146757 | + | 0.0985521i | ||||
\(417\) | −2.10156 | + | 1.07161i | −0.102914 | + | 0.0524771i | ||||
\(418\) | −5.53532 | + | 1.48319i | −0.270742 | + | 0.0725450i | ||||
\(419\) | −31.3994 | + | 18.1285i | −1.53396 | + | 0.885633i | −0.534789 | + | 0.844986i | \(0.679609\pi\) |
−0.999174 | + | 0.0406475i | \(0.987058\pi\) | |||||||
\(420\) | −0.144038 | − | 0.254503i | −0.00702833 | − | 0.0124185i | ||||
\(421\) | 3.04611 | + | 3.04611i | 0.148459 | + | 0.148459i | 0.777429 | − | 0.628971i | \(-0.216523\pi\) |
−0.628971 | + | 0.777429i | \(0.716523\pi\) | |||||||
\(422\) | 0.932721 | − | 0.932721i | 0.0454041 | − | 0.0454041i | ||||
\(423\) | −4.80087 | + | 0.763407i | −0.233426 | + | 0.0371181i | ||||
\(424\) | 0.669555 | + | 2.49881i | 0.0325165 | + | 0.121353i | ||||
\(425\) | − | 36.8510i | − | 1.78753i | ||||||
\(426\) | −10.5439 | − | 0.549335i | −0.510854 | − | 0.0266153i | ||||
\(427\) | 23.4424 | + | 21.4882i | 1.13445 | + | 1.03989i | ||||
\(428\) | 15.3300 | 0.741006 | ||||||||
\(429\) | 2.14186 | − | 17.7901i | 0.103410 | − | 0.858915i | ||||
\(430\) | −0.129604 | + | 0.224481i | −0.00625006 | + | 0.0108254i | ||||
\(431\) | 22.8064 | − | 22.8064i | 1.09854 | − | 1.09854i | 0.103963 | − | 0.994581i | \(-0.466848\pi\) |
0.994581 | − | 0.103963i | \(-0.0331523\pi\) | |||||||
\(432\) | −4.04118 | − | 3.26632i | −0.194431 | − | 0.157151i | ||||
\(433\) | 7.62469 | + | 4.40212i | 0.366419 | + | 0.211552i | 0.671893 | − | 0.740648i | \(-0.265482\pi\) |
−0.305474 | + | 0.952200i | \(0.598815\pi\) | |||||||
\(434\) | −4.32351 | + | 19.4867i | −0.207535 | + | 0.935391i | ||||
\(435\) | 0.642420 | + | 0.208517i | 0.0308017 | + | 0.00999761i | ||||
\(436\) | 4.94631 | − | 4.94631i | 0.236885 | − | 0.236885i | ||||
\(437\) | −12.9808 | + | 3.47819i | −0.620954 | + | 0.166384i | ||||
\(438\) | 20.9873 | + | 1.09343i | 1.00281 | + | 0.0522462i | ||||
\(439\) | 1.00879 | + | 0.582427i | 0.0481471 | + | 0.0277977i | 0.523880 | − | 0.851792i | \(-0.324484\pi\) |
−0.475733 | + | 0.879590i | \(0.657817\pi\) | |||||||
\(440\) | 0.0473902 | − | 0.176863i | 0.00225924 | − | 0.00843160i | ||||
\(441\) | −18.3642 | + | 10.1861i | −0.874484 | + | 0.485055i | ||||
\(442\) | −23.8798 | + | 11.7075i | −1.13584 | + | 0.556869i | ||||
\(443\) | 15.6014 | − | 9.00745i | 0.741243 | − | 0.427957i | −0.0812782 | − | 0.996691i | \(-0.525900\pi\) |
0.822521 | + | 0.568735i | \(0.192567\pi\) | |||||||
\(444\) | 3.45757 | + | 16.2421i | 0.164089 | + | 0.770814i | ||||
\(445\) | −0.328072 | −0.0155521 | ||||||||
\(446\) | 25.3052 | 1.19824 | ||||||||
\(447\) | 31.1194 | − | 6.62463i | 1.47190 | − | 0.313334i | ||||
\(448\) | 1.78777 | − | 1.95035i | 0.0844642 | − | 0.0921455i | ||||
\(449\) | −0.337964 | + | 0.0905571i | −0.0159495 | + | 0.00427366i | −0.266785 | − | 0.963756i | \(-0.585961\pi\) |
0.250835 | + | 0.968030i | \(0.419295\pi\) | |||||||
\(450\) | −14.8018 | + | 2.35370i | −0.697764 | + | 0.110955i | ||||
\(451\) | −10.5322 | − | 18.2423i | −0.495942 | − | 0.858997i | ||||
\(452\) | 17.1909 | 0.808591 | ||||||||
\(453\) | 8.15738 | − | 25.1321i | 0.383267 | − | 1.18081i | ||||
\(454\) | 16.1379i | 0.757387i | ||||||||
\(455\) | 0.143223 | + | 0.591666i | 0.00671440 | + | 0.0277377i | ||||
\(456\) | 1.88318 | − | 2.90179i | 0.0881879 | − | 0.135889i | ||||
\(457\) | 4.48152 | − | 1.20082i | 0.209637 | − | 0.0561720i | −0.152472 | − | 0.988308i | \(-0.548723\pi\) |
0.362109 | + | 0.932136i | \(0.382057\pi\) | |||||||
\(458\) | − | 13.1238i | − | 0.613236i | ||||||
\(459\) | 35.7695 | − | 13.7685i | 1.66958 | − | 0.642656i | ||||
\(460\) | 0.111134 | − | 0.414757i | 0.00518164 | − | 0.0193381i | ||||
\(461\) | −6.02027 | − | 22.4679i | −0.280392 | − | 1.04644i | −0.952141 | − | 0.305658i | \(-0.901124\pi\) |
0.671750 | − | 0.740778i | \(-0.265543\pi\) | |||||||
\(462\) | −12.6709 | − | 3.51205i | −0.589505 | − | 0.163395i | ||||
\(463\) | −19.4850 | + | 19.4850i | −0.905547 | + | 0.905547i | −0.995909 | − | 0.0903621i | \(-0.971198\pi\) |
0.0903621 | + | 0.995909i | \(0.471198\pi\) | |||||||
\(464\) | 6.11066i | 0.283680i | ||||||||
\(465\) | −0.699493 | − | 0.453950i | −0.0324382 | − | 0.0210514i | ||||
\(466\) | 16.3986 | − | 16.3986i | 0.759650 | − | 0.759650i | ||||
\(467\) | −4.50790 | − | 7.80791i | −0.208601 | − | 0.361307i | 0.742673 | − | 0.669654i | \(-0.233558\pi\) |
−0.951274 | + | 0.308347i | \(0.900224\pi\) | |||||||
\(468\) | 6.22773 | + | 8.84394i | 0.287877 | + | 0.408811i | ||||
\(469\) | 1.57937 | + | 36.3129i | 0.0729287 | + | 1.67677i | ||||
\(470\) | 0.0998816 | + | 0.0267632i | 0.00460720 | + | 0.00123449i | ||||
\(471\) | −23.1973 | + | 11.8286i | −1.06887 | + | 0.545032i | ||||
\(472\) | −3.40798 | + | 1.96760i | −0.156865 | + | 0.0905660i | ||||
\(473\) | 3.01645 | + | 11.2575i | 0.138696 | + | 0.517622i | ||||
\(474\) | 0.0319841 | − | 0.00680870i | 0.00146908 | − | 0.000312734i | ||||
\(475\) | −2.58250 | − | 9.63801i | −0.118493 | − | 0.442222i | ||||
\(476\) | 5.86534 | + | 18.6133i | 0.268837 | + | 0.853141i | ||||
\(477\) | −0.806491 | + | 7.71887i | −0.0369267 | + | 0.353423i | ||||
\(478\) | 6.49364 | + | 3.74911i | 0.297012 | + | 0.171480i | ||||
\(479\) | 25.9927 | + | 25.9927i | 1.18764 | + | 1.18764i | 0.977719 | + | 0.209918i | \(0.0673195\pi\) |
0.209918 | + | 0.977719i | \(0.432680\pi\) | |||||||
\(480\) | 0.0502100 | + | 0.0984678i | 0.00229176 | + | 0.00449442i | ||||
\(481\) | 2.34077 | − | 34.4888i | 0.106730 | − | 1.57255i | ||||
\(482\) | − | 7.06997i | − | 0.322028i | ||||||
\(483\) | −29.7143 | − | 8.23603i | −1.35205 | − | 0.374752i | ||||
\(484\) | 1.38364 | + | 2.39654i | 0.0628927 | + | 0.108933i | ||||
\(485\) | −0.550087 | −0.0249782 | ||||||||
\(486\) | −7.81496 | − | 13.4880i | −0.354494 | − | 0.611829i | ||||
\(487\) | −1.38312 | + | 5.16187i | −0.0626751 | + | 0.233907i | −0.990157 | − | 0.139962i | \(-0.955302\pi\) |
0.927482 | + | 0.373868i | \(0.121969\pi\) | |||||||
\(488\) | −8.49910 | − | 8.49910i | −0.384736 | − | 0.384736i | ||||
\(489\) | −6.51791 | + | 1.38752i | −0.294750 | + | 0.0627457i | ||||
\(490\) | 0.445016 | − | 0.0387840i | 0.0201038 | − | 0.00175208i | ||||
\(491\) | 7.90374 | + | 13.6897i | 0.356691 | + | 0.617806i | 0.987406 | − | 0.158208i | \(-0.0505717\pi\) |
−0.630715 | + | 0.776014i | \(0.717238\pi\) | |||||||
\(492\) | 12.0945 | + | 3.92564i | 0.545262 | + | 0.176981i | ||||
\(493\) | −39.0347 | − | 22.5367i | −1.75804 | − | 1.01500i | ||||
\(494\) | −5.42506 | + | 4.73547i | −0.244085 | + | 0.213059i | ||||
\(495\) | 0.322600 | − | 0.444596i | 0.0144998 | − | 0.0199831i | ||||
\(496\) | 1.95263 | − | 7.28731i | 0.0876757 | − | 0.327210i | ||||
\(497\) | 7.44944 | − | 14.3044i | 0.334153 | − | 0.641640i | ||||
\(498\) | −6.06460 | − | 11.8934i | −0.271761 | − | 0.532957i | ||||
\(499\) | 1.62112 | − | 6.05010i | 0.0725713 | − | 0.270840i | −0.920100 | − | 0.391683i | \(-0.871893\pi\) |
0.992672 | + | 0.120843i | \(0.0385598\pi\) | |||||||
\(500\) | 0.616152 | + | 0.165097i | 0.0275551 | + | 0.00738338i | ||||
\(501\) | −12.4836 | + | 11.2473i | −0.557727 | + | 0.502490i | ||||
\(502\) | −10.8206 | − | 2.89936i | −0.482946 | − | 0.129405i | ||||
\(503\) | −18.4418 | − | 10.6474i | −0.822278 | − | 0.474742i | 0.0289236 | − | 0.999582i | \(-0.490792\pi\) |
−0.851201 | + | 0.524839i | \(0.824125\pi\) | |||||||
\(504\) | 7.10174 | − | 3.54476i | 0.316336 | − | 0.157896i | ||||
\(505\) | 0.901918 | + | 0.241668i | 0.0401348 | + | 0.0107541i | ||||
\(506\) | −9.65318 | − | 16.7198i | −0.429136 | − | 0.743286i | ||||
\(507\) | −7.42433 | − | 21.2575i | −0.329726 | − | 0.944077i | ||||
\(508\) | 5.57986 | − | 9.66461i | 0.247566 | − | 0.428798i | ||||
\(509\) | −0.473689 | − | 1.76783i | −0.0209959 | − | 0.0783577i | 0.954633 | − | 0.297785i | \(-0.0962478\pi\) |
−0.975629 | + | 0.219427i | \(0.929581\pi\) | |||||||
\(510\) | −0.814190 | − | 0.0424191i | −0.0360529 | − | 0.00187835i | ||||
\(511\) | −14.8279 | + | 28.4724i | −0.655946 | + | 1.25955i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 8.39027 | − | 6.10771i | 0.370440 | − | 0.269662i | ||||
\(514\) | 11.8856 | + | 3.18475i | 0.524253 | + | 0.140473i | ||||
\(515\) | −0.601707 | + | 0.161227i | −0.0265144 | + | 0.00710451i | ||||
\(516\) | −5.90156 | − | 3.82994i | −0.259802 | − | 0.168604i | ||||
\(517\) | 4.02646 | − | 2.32468i | 0.177083 | − | 0.102239i | ||||
\(518\) | −24.7639 | − | 5.49436i | −1.08806 | − | 0.241408i | ||||
\(519\) | 1.20785 | + | 0.783861i | 0.0530188 | + | 0.0344077i | ||||
\(520\) | −0.0443649 | − | 0.225770i | −0.00194553 | − | 0.00990065i | ||||
\(521\) | −17.7415 | − | 10.2431i | −0.777271 | − | 0.448757i | 0.0581914 | − | 0.998305i | \(-0.481467\pi\) |
−0.835462 | + | 0.549548i | \(0.814800\pi\) | |||||||
\(522\) | −6.55907 | + | 17.1184i | −0.287083 | + | 0.749252i | ||||
\(523\) | −9.34546 | + | 16.1868i | −0.408648 | + | 0.707800i | −0.994739 | − | 0.102446i | \(-0.967333\pi\) |
0.586090 | + | 0.810246i | \(0.300666\pi\) | |||||||
\(524\) | −6.34987 | + | 10.9983i | −0.277395 | + | 0.480463i | ||||
\(525\) | 6.11512 | − | 22.0624i | 0.266886 | − | 0.962883i | ||||
\(526\) | −6.78387 | + | 1.81773i | −0.295791 | + | 0.0792569i | ||||
\(527\) | 39.3497 | + | 39.3497i | 1.71410 | + | 1.71410i | ||||
\(528\) | 4.72696 | + | 1.53428i | 0.205715 | + | 0.0667708i | ||||
\(529\) | −11.1375 | − | 19.2906i | −0.484237 | − | 0.838724i | ||||
\(530\) | 0.0825432 | − | 0.142969i | 0.00358545 | − | 0.00621017i | ||||
\(531\) | −11.6591 | + | 1.85396i | −0.505962 | + | 0.0804552i | ||||
\(532\) | 2.83844 | + | 4.45710i | 0.123062 | + | 0.193240i | ||||
\(533\) | −21.9746 | − | 14.7567i | −0.951828 | − | 0.639185i | ||||
\(534\) | 0.463294 | − | 8.89244i | 0.0200487 | − | 0.384813i | ||||
\(535\) | −0.691750 | − | 0.691750i | −0.0299070 | − | 0.0299070i | ||||
\(536\) | − | 13.7380i | − | 0.593389i | ||||||
\(537\) | 12.4886 | + | 8.10476i | 0.538924 | + | 0.349746i | ||||
\(538\) | 5.18261 | + | 5.18261i | 0.223438 | + | 0.223438i | ||||
\(539\) | 12.9155 | − | 15.3816i | 0.556309 | − | 0.662533i | ||||
\(540\) | 0.0349646 | + | 0.329742i | 0.00150464 | + | 0.0141899i | ||||
\(541\) | −5.07229 | − | 1.35912i | −0.218075 | − | 0.0584330i | 0.148127 | − | 0.988968i | \(-0.452675\pi\) |
−0.366202 | + | 0.930535i | \(0.619342\pi\) | |||||||
\(542\) | −3.09553 | + | 1.78720i | −0.132964 | + | 0.0767670i | ||||
\(543\) | 6.78487 | − | 10.4548i | 0.291167 | − | 0.448659i | ||||
\(544\) | −1.90910 | − | 7.12486i | −0.0818520 | − | 0.305476i | ||||
\(545\) | −0.446392 | −0.0191214 | ||||||||
\(546\) | −16.2394 | + | 3.04654i | −0.694983 | + | 0.130380i | ||||
\(547\) | −11.0644 | −0.473081 | −0.236541 | − | 0.971622i | \(-0.576014\pi\) | ||||
−0.236541 | + | 0.971622i | \(0.576014\pi\) | |||||||
\(548\) | −1.18988 | − | 4.44069i | −0.0508291 | − | 0.189697i | ||||
\(549\) | −14.6866 | − | 32.9322i | −0.626809 | − | 1.40551i | ||||
\(550\) | 12.4142 | − | 7.16734i | 0.529343 | − | 0.305616i | ||||
\(551\) | −11.7885 | − | 3.15872i | −0.502208 | − | 0.134566i | ||||
\(552\) | 11.0851 | + | 3.59800i | 0.471813 | + | 0.153141i | ||||
\(553\) | −0.0108196 | + | 0.0487654i | −0.000460096 | + | 0.00207372i | ||||
\(554\) | 11.4049 | + | 11.4049i | 0.484547 | + | 0.484547i | ||||
\(555\) | 0.576885 | − | 0.888922i | 0.0244874 | − | 0.0377326i | ||||
\(556\) | 1.36197i | 0.0577605i | ||||||||
\(557\) | −15.9359 | − | 15.9359i | −0.675224 | − | 0.675224i | 0.283691 | − | 0.958916i | \(-0.408441\pi\) |
−0.958916 | + | 0.283691i | \(0.908441\pi\) | |||||||
\(558\) | 13.2922 | − | 18.3188i | 0.562703 | − | 0.775495i | ||||
\(559\) | 9.63081 | + | 11.0333i | 0.407340 | + | 0.466659i | ||||
\(560\) | −0.168678 | + | 0.00733641i | −0.00712796 | + | 0.000310020i | ||||
\(561\) | −27.2344 | + | 24.5371i | −1.14984 | + | 1.03596i | ||||
\(562\) | 1.03591 | − | 1.79425i | 0.0436972 | − | 0.0756858i | ||||
\(563\) | −1.91442 | − | 3.31588i | −0.0806834 | − | 0.139748i | 0.822860 | − | 0.568244i | \(-0.192377\pi\) |
−0.903544 | + | 0.428496i | \(0.859044\pi\) | |||||||
\(564\) | −0.866469 | + | 2.66951i | −0.0364849 | + | 0.112407i | ||||
\(565\) | −0.775718 | − | 0.775718i | −0.0326347 | − | 0.0326347i | ||||
\(566\) | 12.7054 | − | 3.40441i | 0.534048 | − | 0.143098i | ||||
\(567\) | 23.6997 | − | 2.30742i | 0.995294 | − | 0.0969025i | ||||
\(568\) | −3.04789 | + | 5.27910i | −0.127887 | + | 0.221506i | ||||
\(569\) | 3.04014 | − | 5.26568i | 0.127449 | − | 0.220749i | −0.795238 | − | 0.606297i | \(-0.792654\pi\) |
0.922688 | + | 0.385548i | \(0.125988\pi\) | |||||||
\(570\) | −0.215916 | + | 0.0459637i | −0.00904373 | + | 0.00192521i | ||||
\(571\) | −18.9915 | − | 10.9647i | −0.794769 | − | 0.458860i | 0.0468700 | − | 0.998901i | \(-0.485075\pi\) |
−0.841639 | + | 0.540041i | \(0.818409\pi\) | |||||||
\(572\) | −8.58847 | − | 5.76746i | −0.359102 | − | 0.241149i | ||||
\(573\) | −17.7626 | + | 27.3705i | −0.742045 | + | 1.14342i | ||||
\(574\) | −13.1247 | + | 14.3183i | −0.547814 | + | 0.597634i | ||||
\(575\) | 29.1122 | − | 16.8080i | 1.21406 | − | 0.700940i | ||||
\(576\) | −2.73989 | + | 1.22189i | −0.114162 | + | 0.0509122i | ||||
\(577\) | −2.36056 | + | 0.632509i | −0.0982713 | + | 0.0263317i | −0.307620 | − | 0.951509i | \(-0.599532\pi\) |
0.209348 | + | 0.977841i | \(0.432866\pi\) | |||||||
\(578\) | 36.1337 | + | 9.68199i | 1.50296 | + | 0.402718i | ||||
\(579\) | −33.2223 | + | 7.07229i | −1.38067 | + | 0.293914i | ||||
\(580\) | 0.275736 | − | 0.275736i | 0.0114493 | − | 0.0114493i | ||||
\(581\) | 20.3738 | − | 0.886127i | 0.845247 | − | 0.0367627i | ||||
\(582\) | 0.776816 | − | 14.9102i | 0.0322001 | − | 0.618047i | ||||
\(583\) | −1.92114 | − | 7.16978i | −0.0795653 | − | 0.296942i | ||||
\(584\) | 6.06672 | − | 10.5079i | 0.251043 | − | 0.434819i | ||||
\(585\) | 0.118053 | − | 0.680092i | 0.00488090 | − | 0.0281183i | ||||
\(586\) | 1.43128 | + | 2.47906i | 0.0591258 | + | 0.102409i | ||||
\(587\) | −22.4858 | − | 6.02505i | −0.928088 | − | 0.248680i | −0.237049 | − | 0.971498i | \(-0.576180\pi\) |
−0.691039 | + | 0.722817i | \(0.742847\pi\) | |||||||
\(588\) | 0.422805 | + | 12.1170i | 0.0174362 | + | 0.499696i | ||||
\(589\) | 13.0491 | + | 7.53392i | 0.537680 | + | 0.310430i | ||||
\(590\) | 0.242566 | + | 0.0649955i | 0.00998630 | + | 0.00267582i | ||||
\(591\) | −9.93814 | − | 11.0306i | −0.408800 | − | 0.453738i | ||||
\(592\) | 9.26079 | + | 2.48142i | 0.380616 | + | 0.101986i | ||||
\(593\) | 2.28510 | − | 8.52810i | 0.0938377 | − | 0.350207i | −0.903003 | − | 0.429634i | \(-0.858642\pi\) |
0.996841 | + | 0.0794273i | \(0.0253091\pi\) | |||||||
\(594\) | 11.5952 | + | 9.37196i | 0.475759 | + | 0.384536i | ||||
\(595\) | 0.575238 | − | 1.10457i | 0.0235825 | − | 0.0452830i | ||||
\(596\) | 4.75435 | − | 17.7435i | 0.194746 | − | 0.726801i | ||||
\(597\) | −17.7145 | − | 0.922920i | −0.725005 | − | 0.0377726i | ||||
\(598\) | −20.1406 | − | 13.5251i | −0.823611 | − | 0.553084i | ||||
\(599\) | −0.795750 | − | 0.459427i | −0.0325135 | − | 0.0187717i | 0.483655 | − | 0.875259i | \(-0.339309\pi\) |
−0.516169 | + | 0.856487i | \(0.672642\pi\) | |||||||
\(600\) | −2.67146 | + | 8.23050i | −0.109062 | + | 0.336009i | ||||
\(601\) | 4.25898 | + | 7.37677i | 0.173727 | + | 0.300905i | 0.939720 | − | 0.341944i | \(-0.111085\pi\) |
−0.765993 | + | 0.642849i | \(0.777752\pi\) | |||||||
\(602\) | 9.06468 | − | 5.77271i | 0.369449 | − | 0.235278i | ||||
\(603\) | 14.7461 | − | 38.4855i | 0.600507 | − | 1.56725i | ||||
\(604\) | −10.7871 | − | 10.7871i | −0.438919 | − | 0.438919i | ||||
\(605\) | 0.0457057 | − | 0.170576i | 0.00185820 | − | 0.00693490i | ||||
\(606\) | −7.82410 | + | 24.1053i | −0.317833 | + | 0.979211i | ||||
\(607\) | 5.54855 | 0.225209 | 0.112604 | − | 0.993640i | \(-0.464081\pi\) | ||||
0.112604 | + | 0.993640i | \(0.464081\pi\) | |||||||
\(608\) | −0.998614 | − | 1.72965i | −0.0404991 | − | 0.0701466i | ||||
\(609\) | −19.6300 | − | 19.9701i | −0.795449 | − | 0.809228i | ||||
\(610\) | 0.767023i | 0.0310559i | ||||||||
\(611\) | 3.25712 | − | 4.85026i | 0.131769 | − | 0.196221i | ||||
\(612\) | 2.29955 | − | 22.0088i | 0.0929537 | − | 0.889653i | ||||
\(613\) | 15.8772 | + | 15.8772i | 0.641274 | + | 0.641274i | 0.950869 | − | 0.309594i | \(-0.100193\pi\) |
−0.309594 | + | 0.950869i | \(0.600193\pi\) | |||||||
\(614\) | −20.6389 | − | 11.9159i | −0.832918 | − | 0.480885i | ||||
\(615\) | −0.368611 | − | 0.722890i | −0.0148638 | − | 0.0291497i | ||||
\(616\) | −5.12960 | + | 5.59609i | −0.206677 | + | 0.225473i | ||||
\(617\) | 0.933808 | + | 3.48502i | 0.0375937 | + | 0.140302i | 0.982172 | − | 0.187985i | \(-0.0601956\pi\) |
−0.944578 | + | 0.328286i | \(0.893529\pi\) | |||||||
\(618\) | −3.52036 | − | 16.5370i | −0.141610 | − | 0.665216i | ||||
\(619\) | 3.97850 | + | 14.8480i | 0.159909 | + | 0.596790i | 0.998635 | + | 0.0522353i | \(0.0166346\pi\) |
−0.838725 | + | 0.544555i | \(0.816699\pi\) | |||||||
\(620\) | −0.416941 | + | 0.240721i | −0.0167448 | + | 0.00966760i | ||||
\(621\) | 27.1917 | + | 21.9780i | 1.09117 | + | 0.881946i | ||||
\(622\) | 12.4161 | + | 3.32689i | 0.497841 | + | 0.133396i | ||||
\(623\) | 12.0639 | + | 6.28265i | 0.483331 | + | 0.251709i | ||||
\(624\) | 6.18216 | − | 0.883691i | 0.247484 | − | 0.0353759i | ||||
\(625\) | 12.4695 | + | 21.5977i | 0.498779 | + | 0.863910i | ||||
\(626\) | 14.8582 | − | 14.8582i | 0.593854 | − | 0.593854i | ||||
\(627\) | −5.40335 | + | 8.32603i | −0.215789 | + | 0.332510i | ||||
\(628\) | 15.0336i | 0.599906i | ||||||||
\(629\) | −50.0060 | + | 50.0060i | −1.99387 | + | 1.99387i | ||||
\(630\) | −0.480411 | − | 0.160504i | −0.0191400 | − | 0.00639464i | ||||
\(631\) | 3.49647 | + | 13.0490i | 0.139192 | + | 0.519473i | 0.999945 | + | 0.0104502i | \(0.00332647\pi\) |
−0.860753 | + | 0.509023i | \(0.830007\pi\) | |||||||
\(632\) | 0.00488646 | − | 0.0182365i | 0.000194373 | − | 0.000725409i | ||||
\(633\) | 0.118871 | − | 2.28160i | 0.00472468 | − | 0.0906853i | ||||
\(634\) | − | 11.6654i | − | 0.463293i | ||||||
\(635\) | −0.687889 | + | 0.184319i | −0.0272980 | + | 0.00731449i | ||||
\(636\) | 3.75862 | + | 2.43924i | 0.149039 | + | 0.0967221i | ||||
\(637\) | 6.06389 | − | 24.4996i | 0.240260 | − | 0.970709i | ||||
\(638\) | − | 17.5331i | − | 0.694143i | ||||||
\(639\) | −14.2049 | + | 11.5173i | −0.561936 | + | 0.455619i | ||||
\(640\) | 0.0638147 | 0.00252250 | ||||||||
\(641\) | 14.5355 | + | 25.1762i | 0.574117 | + | 0.994401i | 0.996137 | + | 0.0878138i | \(0.0279880\pi\) |
−0.422020 | + | 0.906587i | \(0.638679\pi\) | |||||||
\(642\) | 19.7268 | − | 17.7731i | 0.778556 | − | 0.701448i | ||||
\(643\) | 23.5840 | − | 6.31932i | 0.930063 | − | 0.249210i | 0.238182 | − | 0.971221i | \(-0.423449\pi\) |
0.691882 | + | 0.722011i | \(0.256782\pi\) | |||||||
\(644\) | −12.0293 | + | 13.1233i | −0.474021 | + | 0.517129i | ||||
\(645\) | 0.0934793 | + | 0.439122i | 0.00368074 | + | 0.0172904i | ||||
\(646\) | 14.7320 | 0.579621 | ||||||||
\(647\) | −8.65205 | −0.340147 | −0.170074 | − | 0.985431i | \(-0.554401\pi\) | ||||
−0.170074 | + | 0.985431i | \(0.554401\pi\) | |||||||
\(648\) | −8.98708 | + | 0.482068i | −0.353046 | + | 0.0189374i | ||||
\(649\) | 9.77842 | − | 5.64557i | 0.383836 | − | 0.221608i | ||||
\(650\) | 10.0422 | − | 14.9541i | 0.393887 | − | 0.586548i | ||||
\(651\) | 17.0286 | + | 30.0882i | 0.667404 | + | 1.17925i | ||||
\(652\) | −0.995790 | + | 3.71634i | −0.0389981 | + | 0.145543i | ||||
\(653\) | 23.2843 | + | 13.4432i | 0.911187 | + | 0.526074i | 0.880813 | − | 0.473465i | \(-0.156997\pi\) |
0.0303739 | + | 0.999539i | \(0.490330\pi\) | |||||||
\(654\) | 0.630382 | − | 12.0995i | 0.0246499 | − | 0.473129i | ||||
\(655\) | 0.782816 | − | 0.209755i | 0.0305871 | − | 0.00819580i | ||||
\(656\) | 5.19114 | − | 5.19114i | 0.202680 | − | 0.202680i | ||||
\(657\) | 28.2743 | − | 22.9249i | 1.10309 | − | 0.894384i | ||||
\(658\) | −3.16034 | − | 2.89689i | −0.123203 | − | 0.112933i | ||||
\(659\) | −34.5311 | − | 19.9365i | −1.34514 | − | 0.776617i | −0.357583 | − | 0.933881i | \(-0.616399\pi\) |
−0.987556 | + | 0.157265i | \(0.949732\pi\) | |||||||
\(660\) | −0.144066 | − | 0.282531i | −0.00560776 | − | 0.0109975i | ||||
\(661\) | 5.42799 | − | 5.42799i | 0.211124 | − | 0.211124i | −0.593621 | − | 0.804745i | \(-0.702302\pi\) |
0.804745 | + | 0.593621i | \(0.202302\pi\) | |||||||
\(662\) | −6.86951 | + | 11.8983i | −0.266991 | + | 0.462442i | ||||
\(663\) | −17.1554 | + | 42.7506i | −0.666262 | + | 1.66030i | ||||
\(664\) | −7.70785 | −0.299123 | ||||||||
\(665\) | 0.0730401 | − | 0.329202i | 0.00283237 | − | 0.0127659i | ||||
\(666\) | 23.2797 | + | 16.8918i | 0.902069 | + | 0.654545i | ||||
\(667\) | − | 41.1165i | − | 1.59204i | ||||||
\(668\) | 2.51086 | + | 9.37067i | 0.0971482 | + | 0.362562i | ||||
\(669\) | 32.5629 | − | 29.3379i | 1.25896 | − | 1.13427i | ||||
\(670\) | −0.619909 | + | 0.619909i | −0.0239492 | + | 0.0239492i | ||||
\(671\) | 24.3862 | + | 24.3862i | 0.941420 | + | 0.941420i | ||||
\(672\) | 0.0393483 | − | 4.58241i | 0.00151789 | − | 0.176770i | ||||
\(673\) | 1.78213 | − | 1.02891i | 0.0686961 | − | 0.0396617i | −0.465259 | − | 0.885175i | \(-0.654039\pi\) |
0.533955 | + | 0.845513i | \(0.320705\pi\) | |||||||
\(674\) | −14.6691 | + | 3.93056i | −0.565031 | + | 0.151400i | ||||
\(675\) | −16.3183 | + | 20.1894i | −0.628092 | + | 0.777092i | ||||
\(676\) | −12.8808 | − | 1.75654i | −0.495415 | − | 0.0675591i | ||||
\(677\) | 38.8937 | − | 22.4553i | 1.49481 | − | 0.863027i | 0.494825 | − | 0.868993i | \(-0.335232\pi\) |
0.999982 | + | 0.00596552i | \(0.00189890\pi\) | |||||||
\(678\) | 22.1214 | − | 19.9305i | 0.849566 | − | 0.765426i | ||||
\(679\) | 20.2279 | + | 10.5343i | 0.776276 | + | 0.404268i | ||||
\(680\) | −0.235355 | + | 0.407647i | −0.00902546 | + | 0.0156325i | ||||
\(681\) | 18.7096 | + | 20.7663i | 0.716955 | + | 0.795768i | ||||
\(682\) | −5.60262 | + | 20.9093i | −0.214536 | + | 0.800658i | ||||
\(683\) | −3.82180 | + | 14.2631i | −0.146237 | + | 0.545764i | 0.853460 | + | 0.521158i | \(0.174500\pi\) |
−0.999697 | + | 0.0246059i | \(0.992167\pi\) | |||||||
\(684\) | −0.940942 | − | 5.91734i | −0.0359778 | − | 0.226255i | ||||
\(685\) | −0.146689 | + | 0.254073i | −0.00560470 | + | 0.00970762i | ||||
\(686\) | −17.1069 | − | 7.09598i | −0.653146 | − | 0.270926i | ||||
\(687\) | −15.2153 | − | 16.8879i | −0.580500 | − | 0.644312i | ||||
\(688\) | −3.51770 | + | 2.03094i | −0.134111 | + | 0.0774290i | ||||
\(689\) | −6.13374 | − | 7.02696i | −0.233677 | − | 0.267706i | ||||
\(690\) | −0.337846 | − | 0.662557i | −0.0128616 | − | 0.0252231i | ||||
\(691\) | 35.4729 | − | 9.50493i | 1.34945 | − | 0.361584i | 0.489519 | − | 0.871993i | \(-0.337172\pi\) |
0.859932 | + | 0.510408i | \(0.170506\pi\) | |||||||
\(692\) | 0.719956 | − | 0.415667i | 0.0273686 | − | 0.0158013i | ||||
\(693\) | −20.3768 | + | 10.1709i | −0.774051 | + | 0.386360i | ||||
\(694\) | 2.98111 | + | 2.98111i | 0.113161 | + | 0.113161i | ||||
\(695\) | 0.0614574 | − | 0.0614574i | 0.00233121 | − | 0.00233121i | ||||
\(696\) | 7.08447 | + | 7.86324i | 0.268536 | + | 0.298055i | ||||
\(697\) | 14.0154 | + | 52.3063i | 0.530873 | + | 1.98124i | ||||
\(698\) | 14.0442i | 0.531579i | ||||||||
\(699\) | 2.08992 | − | 40.1138i | 0.0790479 | − | 1.51724i | ||||
\(700\) | −9.74383 | − | 8.93157i | −0.368282 | − | 0.337582i | ||||
\(701\) | −11.5449 | −0.436047 | −0.218023 | − | 0.975944i | \(-0.569961\pi\) | ||||
−0.218023 | + | 0.975944i | \(0.569961\pi\) | |||||||
\(702\) | 18.2672 | + | 4.16025i | 0.689453 | + | 0.157019i | ||||
\(703\) | −9.57419 | + | 16.5830i | −0.361097 | + | 0.625439i | ||||
\(704\) | 2.02888 | − | 2.02888i | 0.0764663 | − | 0.0764663i | ||||
\(705\) | 0.159557 | − | 0.0813600i | 0.00600926 | − | 0.00306419i | ||||
\(706\) | 8.05650 | + | 4.65142i | 0.303210 | + | 0.175059i | ||||
\(707\) | −28.5375 | − | 26.1586i | −1.07326 | − | 0.983794i | ||||
\(708\) | −2.10425 | + | 6.48301i | −0.0790827 | + | 0.243646i | ||||
\(709\) | 24.5782 | − | 24.5782i | 0.923052 | − | 0.923052i | −0.0741921 | − | 0.997244i | \(-0.523638\pi\) |
0.997244 | + | 0.0741921i | \(0.0236378\pi\) | |||||||
\(710\) | 0.375746 | − | 0.100681i | 0.0141015 | − | 0.00377848i | ||||
\(711\) | 0.0332637 | − | 0.0458427i | 0.00124748 | − | 0.00171924i | ||||
\(712\) | −4.45225 | − | 2.57051i | −0.166855 | − | 0.0963338i | ||||
\(713\) | −13.1386 | + | 49.0339i | −0.492044 | + | 1.83633i | ||||
\(714\) | 29.1272 | + | 17.1517i | 1.09006 | + | 0.641887i | ||||
\(715\) | 0.127295 | + | 0.647794i | 0.00476056 | + | 0.0242261i | ||||
\(716\) | 7.44401 | − | 4.29780i | 0.278196 | − | 0.160616i | ||||
\(717\) | 12.7026 | − | 2.70411i | 0.474389 | − | 0.100987i | ||||
\(718\) | 22.7724 | 0.849858 | ||||||||
\(719\) | −22.0508 | −0.822356 | −0.411178 | − | 0.911555i | \(-0.634883\pi\) | ||||
−0.411178 | + | 0.911555i | \(0.634883\pi\) | |||||||
\(720\) | 0.178771 | + | 0.0684976i | 0.00666239 | + | 0.00255276i | ||||
\(721\) | 25.2136 | + | 5.59414i | 0.939004 | + | 0.208337i | ||||
\(722\) | −14.4996 | + | 3.88515i | −0.539619 | + | 0.144590i | ||||
\(723\) | −8.19667 | − | 9.09770i | −0.304837 | − | 0.338347i | ||||
\(724\) | −3.59789 | − | 6.23173i | −0.133715 | − | 0.231600i | ||||
\(725\) | 30.5284 | 1.13380 | ||||||||
\(726\) | 4.55894 | + | 1.47974i | 0.169198 | + | 0.0549183i | ||||
\(727\) | 30.8352i | 1.14361i | 0.820389 | + | 0.571806i | \(0.193757\pi\) | ||||
−0.820389 | + | 0.571806i | \(0.806243\pi\) | |||||||
\(728\) | −2.69214 | + | 9.15163i | −0.0997772 | + | 0.339182i | ||||
\(729\) | −25.6939 | − | 8.29611i | −0.951624 | − | 0.307263i | ||||
\(730\) | −0.747909 | + | 0.200402i | −0.0276814 | + | 0.00741720i | ||||
\(731\) | − | 29.9613i | − | 1.10816i | ||||||
\(732\) | −20.7903 | − | 1.08317i | −0.768430 | − | 0.0400350i | ||||
\(733\) | 6.46266 | − | 24.1190i | 0.238704 | − | 0.890855i | −0.737740 | − | 0.675085i | \(-0.764107\pi\) |
0.976444 | − | 0.215770i | \(-0.0692262\pi\) | |||||||
\(734\) | 2.79866 | + | 10.4448i | 0.103301 | + | 0.385523i | ||||
\(735\) | 0.527686 | − | 0.565843i | 0.0194640 | − | 0.0208714i | ||||
\(736\) | 4.75788 | − | 4.75788i | 0.175378 | − | 0.175378i | ||||
\(737\) | 39.4179i | 1.45198i | ||||||||
\(738\) | 20.1145 | − | 8.97039i | 0.740427 | − | 0.330204i | ||||
\(739\) | −20.7140 | + | 20.7140i | −0.761977 | + | 0.761977i | −0.976680 | − | 0.214702i | \(-0.931122\pi\) |
0.214702 | + | 0.976680i | \(0.431122\pi\) | |||||||
\(740\) | −0.305911 | − | 0.529853i | −0.0112455 | − | 0.0194778i | ||||
\(741\) | −1.49089 | + | 12.3833i | −0.0547693 | + | 0.454910i | ||||
\(742\) | −5.77317 | + | 3.67656i | −0.211940 | + | 0.134971i | ||||
\(743\) | −5.22692 | − | 1.40055i | −0.191757 | − | 0.0513812i | 0.161662 | − | 0.986846i | \(-0.448314\pi\) |
−0.353419 | + | 0.935465i | \(0.614981\pi\) | |||||||
\(744\) | −5.93598 | − | 11.6412i | −0.217624 | − | 0.426786i | ||||
\(745\) | −1.01519 | + | 0.586119i | −0.0371936 | + | 0.0214737i | ||||
\(746\) | 1.79129 | + | 6.68517i | 0.0655837 | + | 0.244762i | ||||
\(747\) | −21.5928 | − | 8.27347i | −0.790038 | − | 0.302711i | ||||
\(748\) | 5.47773 | + | 20.4432i | 0.200286 | + | 0.747476i | ||||
\(749\) | 12.1900 | + | 38.6843i | 0.445413 | + | 1.41349i | ||||
\(750\) | 0.984277 | − | 0.501895i | 0.0359407 | − | 0.0183266i | ||||
\(751\) | −6.84963 | − | 3.95464i | −0.249947 | − | 0.144307i | 0.369793 | − | 0.929114i | \(-0.379429\pi\) |
−0.619740 | + | 0.784807i | \(0.712762\pi\) | |||||||
\(752\) | 1.14579 | + | 1.14579i | 0.0417828 | + | 0.0417828i | ||||
\(753\) | −17.2854 | + | 8.81406i | −0.629916 | + | 0.321202i | ||||
\(754\) | −9.69883 | − | 19.7827i | −0.353210 | − | 0.720442i | ||||
\(755\) | 0.973507i | 0.0354296i | ||||||||
\(756\) | 5.02891 | − | 12.7949i | 0.182900 | − | 0.465347i | ||||
\(757\) | −19.4841 | − | 33.7474i | −0.708162 | − | 1.22657i | −0.965538 | − | 0.260261i | \(-0.916191\pi\) |
0.257377 | − | 0.966311i | \(-0.417142\pi\) | |||||||
\(758\) | −2.07798 | −0.0754755 | ||||||||
\(759\) | −31.8061 | − | 10.3236i | −1.15449 | − | 0.374724i | ||||
\(760\) | −0.0329871 | + | 0.123110i | −0.00119657 | + | 0.00446566i | ||||
\(761\) | −1.44348 | − | 1.44348i | −0.0523260 | − | 0.0523260i | 0.680460 | − | 0.732786i | \(-0.261780\pi\) |
−0.732786 | + | 0.680460i | \(0.761780\pi\) | |||||||
\(762\) | −4.02458 | − | 18.9056i | −0.145795 | − | 0.684877i | ||||
\(763\) | 16.4148 | + | 8.54850i | 0.594256 | + | 0.309477i | ||||
\(764\) | 9.41919 | + | 16.3145i | 0.340774 | + | 0.590239i | ||||
\(765\) | −1.09689 | + | 0.889357i | −0.0396580 | + | 0.0321548i | ||||
\(766\) | 21.0251 | + | 12.1389i | 0.759669 | + | 0.438595i | ||||
\(767\) | 7.91004 | − | 11.7791i | 0.285615 | − | 0.425317i | ||||
\(768\) | −0.0901172 | + | 1.72970i | −0.00325182 | + | 0.0624153i | ||||
\(769\) | 10.7910 | − | 40.2727i | 0.389135 | − | 1.45227i | −0.442409 | − | 0.896813i | \(-0.645876\pi\) |
0.831544 | − | 0.555459i | \(-0.187457\pi\) | |||||||
\(770\) | 0.483984 | − | 0.0210501i | 0.0174416 | − | 0.000758595i | ||||
\(771\) | 18.9868 | − | 9.68162i | 0.683794 | − | 0.348675i | ||||
\(772\) | −5.07562 | + | 18.9425i | −0.182676 | + | 0.681755i | ||||
\(773\) | −21.2590 | − | 5.69633i | −0.764633 | − | 0.204883i | −0.144634 | − | 0.989485i | \(-0.546201\pi\) |
−0.619999 | + | 0.784602i | \(0.712867\pi\) | |||||||
\(774\) | −12.0345 | + | 1.91365i | −0.432570 | + | 0.0687848i | ||||
\(775\) | −36.4069 | − | 9.75520i | −1.30777 | − | 0.350417i | ||||
\(776\) | −7.46520 | − | 4.31003i | −0.267985 | − | 0.154721i | ||||
\(777\) | −38.2363 | + | 21.6401i | −1.37172 | + | 0.776336i | ||||
\(778\) | −8.87157 | − | 2.37713i | −0.318061 | − | 0.0852242i | ||||
\(779\) | 7.33121 | + | 12.6980i | 0.262668 | + | 0.454954i | ||||
\(780\) | −0.318838 | − | 0.239087i | −0.0114162 | − | 0.00856069i | ||||
\(781\) | 8.74523 | − | 15.1472i | 0.312929 | − | 0.542009i | ||||
\(782\) | 12.8457 | + | 47.9408i | 0.459361 | + | 1.71436i | ||||
\(783\) | 11.4062 | + | 29.6324i | 0.407624 | + | 1.05898i | ||||
\(784\) | 6.34317 | + | 2.96045i | 0.226542 | + | 0.105730i | ||||
\(785\) | 0.678374 | − | 0.678374i | 0.0242122 | − | 0.0242122i | ||||
\(786\) | 4.57996 | + | 21.5145i | 0.163362 | + | 0.767398i | ||||
\(787\) | −12.3163 | − | 3.30016i | −0.439030 | − | 0.117638i | 0.0325317 | − | 0.999471i | \(-0.489643\pi\) |
−0.471562 | + | 0.881833i | \(0.656310\pi\) | |||||||
\(788\) | −8.27998 | + | 2.21861i | −0.294962 | + | 0.0790348i | ||||
\(789\) | −6.62213 | + | 10.2040i | −0.235754 | + | 0.363274i | ||||
\(790\) | −0.00104340 | 0.000602405i | −3.71224e−5 | 2.14326e-5i | ||||||
\(791\) | 13.6697 | + | 43.3800i | 0.486038 | + | 1.54242i | ||||
\(792\) | 7.86148 | − | 3.50594i | 0.279345 | − | 0.124578i | ||||
\(793\) | 41.0048 | + | 14.0253i | 1.45612 | + | 0.498052i | ||||
\(794\) | −14.2450 | − | 8.22438i | −0.505538 | − | 0.291872i | ||||
\(795\) | −0.0595358 | − | 0.279671i | −0.00211152 | − | 0.00991891i | ||||
\(796\) | −5.12067 | + | 8.86925i | −0.181497 | + | 0.314362i | ||||
\(797\) | −9.84312 | + | 17.0488i | −0.348661 | + | 0.603899i | −0.986012 | − | 0.166675i | \(-0.946697\pi\) |
0.637351 | + | 0.770574i | \(0.280030\pi\) | |||||||
\(798\) | 8.81992 | + | 2.44465i | 0.312222 | + | 0.0865397i | ||||
\(799\) | −11.5451 | + | 3.09350i | −0.408436 | + | 0.109440i | ||||
\(800\) | 3.53265 | + | 3.53265i | 0.124898 | + | 0.124898i | ||||
\(801\) | −9.71340 | − | 11.9800i | −0.343206 | − | 0.423292i | ||||
\(802\) | −4.71877 | − | 8.17315i | −0.166626 | − | 0.288604i | ||||
\(803\) | −17.4071 | + | 30.1499i | −0.614282 | + | 1.06397i | ||||
\(804\) | −15.9273 | − | 17.6781i | −0.561712 | − | 0.623459i | ||||
\(805\) | 1.13498 | − | 0.0493642i | 0.0400028 | − | 0.00173986i | ||||
\(806\) | 5.24496 | + | 26.6912i | 0.184746 | + | 0.940158i | ||||
\(807\) | 12.6776 | + | 0.660498i | 0.446271 | + | 0.0232506i | ||||
\(808\) | 10.3464 | + | 10.3464i | 0.363984 | + | 0.363984i | ||||
\(809\) | 51.3525i | 1.80546i | 0.430210 | + | 0.902729i | \(0.358440\pi\) | ||||
−0.430210 | + | 0.902729i | \(0.641560\pi\) | |||||||
\(810\) | 0.427284 | + | 0.383779i | 0.0150132 | + | 0.0134846i | ||||
\(811\) | −6.76622 | − | 6.76622i | −0.237594 | − | 0.237594i | 0.578259 | − | 0.815853i | \(-0.303732\pi\) |
−0.815853 | + | 0.578259i | \(0.803732\pi\) | |||||||
\(812\) | −15.4198 | + | 4.85902i | −0.541129 | + | 0.170518i | ||||
\(813\) | −1.91133 | + | 5.88863i | −0.0670333 | + | 0.206523i | ||||
\(814\) | −26.5717 | − | 7.11987i | −0.931338 | − | 0.249551i | ||||
\(815\) | 0.212629 | − | 0.122762i | 0.00744808 | − | 0.00430015i | ||||
\(816\) | −10.7170 | − | 6.95499i | −0.375168 | − | 0.243473i | ||||
\(817\) | −2.09967 | − | 7.83609i | −0.0734583 | − | 0.274150i | ||||
\(818\) | −22.3637 | −0.781928 | ||||||||
\(819\) | −17.3650 | + | 22.7477i | −0.606781 | + | 0.794869i | ||||
\(820\) | −0.468488 | −0.0163603 | ||||||||
\(821\) | −0.146759 | − | 0.547712i | −0.00512192 | − | 0.0191153i | 0.963318 | − | 0.268364i | \(-0.0864830\pi\) |
−0.968440 | + | 0.249249i | \(0.919816\pi\) | |||||||
\(822\) | −6.67952 | − | 4.33481i | −0.232975 | − | 0.151194i | ||||
\(823\) | 23.0496 | − | 13.3077i | 0.803460 | − | 0.463878i | −0.0412194 | − | 0.999150i | \(-0.513124\pi\) |
0.844680 | + | 0.535272i | \(0.179791\pi\) | |||||||
\(824\) | −9.42897 | − | 2.52649i | −0.328474 | − | 0.0880143i | ||||
\(825\) | 7.66514 | − | 23.6156i | 0.266866 | − | 0.822188i | ||||
\(826\) | −7.67502 | − | 7.03522i | −0.267048 | − | 0.244787i | ||||
\(827\) | 24.4390 | + | 24.4390i | 0.849826 | + | 0.849826i | 0.990111 | − | 0.140285i | \(-0.0448019\pi\) |
−0.140285 | + | 0.990111i | \(0.544802\pi\) | |||||||
\(828\) | 18.4358 | − | 8.22171i | 0.640687 | − | 0.285724i | ||||
\(829\) | 13.2181i | 0.459084i | 0.973299 | + | 0.229542i | \(0.0737228\pi\) | ||||
−0.973299 | + | 0.229542i | \(0.926277\pi\) | |||||||
\(830\) | 0.347808 | + | 0.347808i | 0.0120726 | + | 0.0120726i | ||||
\(831\) | 27.8983 | + | 1.45350i | 0.967782 | + | 0.0504212i | ||||
\(832\) | 1.16687 | − | 3.41151i | 0.0404540 | − | 0.118273i | ||||
\(833\) | −42.3055 | + | 29.6016i | −1.46580 | + | 1.02563i | ||||
\(834\) | 1.57902 | + | 1.75260i | 0.0546771 | + | 0.0606875i | ||||
\(835\) | 0.309541 | − | 0.536140i | 0.0107121 | − | 0.0185539i | ||||
\(836\) | 2.86529 | + | 4.96284i | 0.0990983 | + | 0.171643i | ||||
\(837\) | −4.13363 | − | 38.9832i | −0.142879 | − | 1.34746i | ||||
\(838\) | 25.6375 | + | 25.6375i | 0.885633 | + | 0.885633i | ||||
\(839\) | −1.40031 | + | 0.375211i | −0.0483440 | + | 0.0129537i | −0.282910 | − | 0.959146i | \(-0.591300\pi\) |
0.234566 | + | 0.972100i | \(0.424633\pi\) | |||||||
\(840\) | −0.208551 | + | 0.205000i | −0.00719570 | + | 0.00707318i | ||||
\(841\) | 4.17005 | − | 7.22275i | 0.143795 | − | 0.249060i | ||||
\(842\) | 2.15393 | − | 3.73071i | 0.0742293 | − | 0.128569i | ||||
\(843\) | −0.747168 | − | 3.50985i | −0.0257338 | − | 0.120886i | ||||
\(844\) | −1.14234 | − | 0.659533i | −0.0393211 | − | 0.0227021i | ||||
\(845\) | 0.501968 | + | 0.660492i | 0.0172682 | + | 0.0227216i | ||||
\(846\) | 1.97995 | + | 4.43970i | 0.0680721 | + | 0.152640i | ||||
\(847\) | −4.94726 | + | 5.39718i | −0.169990 | + | 0.185449i | ||||
\(848\) | 2.24038 | − | 1.29348i | 0.0769348 | − | 0.0444183i | ||||
\(849\) | 12.4025 | − | 19.1110i | 0.425652 | − | 0.655888i | ||||
\(850\) | −35.5953 | + | 9.53773i | −1.22091 | + | 0.327142i | ||||
\(851\) | −62.3127 | − | 16.6967i | −2.13605 | − | 0.572354i | ||||
\(852\) | 2.19835 | + | 10.3268i | 0.0753141 | + | 0.353791i | ||||
\(853\) | −0.974184 | + | 0.974184i | −0.0333554 | + | 0.0333554i | −0.723588 | − | 0.690232i | \(-0.757508\pi\) |
0.690232 | + | 0.723588i | \(0.257508\pi\) | |||||||
\(854\) | 14.6886 | − | 28.2051i | 0.502635 | − | 0.965159i | ||||
\(855\) | −0.224554 | + | 0.309472i | −0.00767959 | + | 0.0105837i | ||||
\(856\) | −3.96771 | − | 14.8077i | −0.135613 | − | 0.506116i | ||||
\(857\) | 27.3428 | − | 47.3590i | 0.934011 | − | 1.61775i | 0.157622 | − | 0.987500i | \(-0.449617\pi\) |
0.776389 | − | 0.630254i | \(-0.217049\pi\) | |||||||
\(858\) | −17.7383 | + | 2.53555i | −0.605575 | + | 0.0865622i | ||||
\(859\) | −2.97470 | − | 5.15232i | −0.101495 | − | 0.175795i | 0.810806 | − | 0.585316i | \(-0.199029\pi\) |
−0.912301 | + | 0.409520i | \(0.865696\pi\) | |||||||
\(860\) | 0.250376 | + | 0.0670880i | 0.00853775 | + | 0.00228768i | ||||
\(861\) | −0.288870 | + | 33.6412i | −0.00984468 | + | 1.14649i | ||||
\(862\) | −27.9320 | − | 16.1265i | −0.951367 | − | 0.549272i | ||||
\(863\) | −11.9745 | − | 3.20856i | −0.407617 | − | 0.109221i | 0.0491836 | − | 0.998790i | \(-0.484338\pi\) |
−0.456801 | + | 0.889569i | \(0.651005\pi\) | |||||||
\(864\) | −2.10909 | + | 4.74887i | −0.0717527 | + | 0.161560i | ||||
\(865\) | −0.0512436 | − | 0.0137307i | −0.00174234 | − | 0.000466857i | ||||
\(866\) | 2.27870 | − | 8.50423i | 0.0774335 | − | 0.288986i | ||||
\(867\) | 57.7221 | − | 29.4332i | 1.96034 | − | 0.999604i | ||||
\(868\) | 19.9417 | − | 0.867334i | 0.676866 | − | 0.0294392i | ||||
\(869\) | −0.0140206 | + | 0.0523255i | −0.000475615 | + | 0.00177502i | ||||
\(870\) | 0.0351412 | − | 0.674498i | 0.00119140 | − | 0.0228676i | ||||
\(871\) | 21.8049 | + | 44.4753i | 0.738830 | + | 1.50699i | ||||
\(872\) | −6.05796 | − | 3.49757i | −0.205149 | − | 0.118443i | ||||
\(873\) | −16.2867 | − | 20.0872i | −0.551221 | − | 0.679847i | ||||
\(874\) | 6.71934 | + | 11.6382i | 0.227285 | + | 0.393669i | ||||
\(875\) | 0.0733342 | + | 1.68610i | 0.00247915 | + | 0.0570005i | ||||
\(876\) | −4.37573 | − | 20.5552i | −0.147842 | − | 0.694494i | ||||
\(877\) | 22.7783 | + | 22.7783i | 0.769170 | + | 0.769170i | 0.977960 | − | 0.208790i | \(-0.0669526\pi\) |
−0.208790 | + | 0.977960i | \(0.566953\pi\) | |||||||
\(878\) | 0.301487 | − | 1.12516i | 0.0101747 | − | 0.0379724i | ||||
\(879\) | 4.71592 | + | 1.53069i | 0.159064 | + | 0.0516290i | ||||
\(880\) | −0.183102 | −0.00617236 | ||||||||
\(881\) | 20.5516 | + | 35.5964i | 0.692400 | + | 1.19927i | 0.971049 | + | 0.238879i | \(0.0767799\pi\) |
−0.278650 | + | 0.960393i | \(0.589887\pi\) | |||||||
\(882\) | 14.5921 | + | 15.1020i | 0.491340 | + | 0.508512i | ||||
\(883\) | 2.49617i | 0.0840027i | 0.999118 | + | 0.0420014i | \(0.0133734\pi\) | ||||
−0.999118 | + | 0.0420014i | \(0.986627\pi\) | |||||||
\(884\) | 17.4891 | + | 20.0360i | 0.588223 | + | 0.673882i | ||||
\(885\) | 0.387490 | − | 0.197586i | 0.0130253 | − | 0.00664178i | ||||
\(886\) | −12.7385 | − | 12.7385i | −0.427957 | − | 0.427957i | ||||
\(887\) | 16.0274 | + | 9.25342i | 0.538147 | + | 0.310700i | 0.744328 | − | 0.667814i | \(-0.232770\pi\) |
−0.206180 | + | 0.978514i | \(0.566103\pi\) | |||||||
\(888\) | 14.7937 | − | 7.54351i | 0.496445 | − | 0.253144i | ||||
\(889\) | 28.8249 | + | 6.39539i | 0.966757 | + | 0.214494i | ||||
\(890\) | 0.0849114 | + | 0.316894i | 0.00284624 | + | 0.0106223i | ||||
\(891\) | 25.7864 | − | 1.38318i | 0.863876 | − | 0.0463384i | ||||
\(892\) | −6.54947 | − | 24.4429i | −0.219292 | − | 0.818410i | ||||
\(893\) | −2.80272 | + | 1.61815i | −0.0937893 | + | 0.0541493i | ||||
\(894\) | −14.4532 | − | 28.3445i | −0.483387 | − | 0.947981i | ||||
\(895\) | −0.529835 | − | 0.141969i | −0.0177104 | − | 0.00474550i | ||||
\(896\) | −2.34661 | − | 1.22206i | −0.0783946 | − | 0.0408263i | ||||
\(897\) | −41.5977 | + | 5.94606i | −1.38891 | + | 0.198533i | ||||
\(898\) | 0.174943 | + | 0.303010i | 0.00583792 | + | 0.0101116i | ||||
\(899\) | −32.5984 | + | 32.5984i | −1.08722 | + | 1.08722i | ||||
\(900\) | 6.10449 | + | 13.6883i | 0.203483 | + | 0.456276i | ||||
\(901\) | 19.0820i | 0.635712i | ||||||||
\(902\) | −14.8948 | + | 14.8948i | −0.495942 | + | 0.495942i | ||||
\(903\) | 4.97184 | − | 17.9376i | 0.165452 | − | 0.596927i | ||||
\(904\) | −4.44933 | − | 16.6051i | −0.147982 | − | 0.552278i | ||||
\(905\) | −0.118849 | + | 0.443550i | −0.00395067 | + | 0.0147441i | ||||
\(906\) | −26.3870 | − | 1.37476i | −0.876650 | − | 0.0456732i | ||||
\(907\) | − | 28.8943i | − | 0.959420i | −0.877427 | − | 0.479710i | \(-0.840742\pi\) | ||
0.877427 | − | 0.479710i | \(-0.159258\pi\) | |||||||
\(908\) | 15.5880 | − | 4.17679i | 0.517305 | − | 0.138611i | ||||
\(909\) | 17.8787 | + | 40.0899i | 0.592999 | + | 1.32970i | ||||
\(910\) | 0.534436 | − | 0.291477i | 0.0177164 | − | 0.00966237i | ||||
\(911\) | 47.6997i | 1.58036i | 0.612874 | + | 0.790180i | \(0.290013\pi\) | ||||
−0.612874 | + | 0.790180i | \(0.709987\pi\) | |||||||
\(912\) | −3.29032 | − | 1.06797i | −0.108953 | − | 0.0353641i | ||||
\(913\) | 22.1159 | 0.731930 | ||||||||
\(914\) | −2.31981 | − | 4.01802i | −0.0767324 | − | 0.132904i | ||||
\(915\) | 0.889259 | + | 0.987012i | 0.0293980 | + | 0.0326296i | ||||
\(916\) | −12.6766 | + | 3.39670i | −0.418848 | + | 0.112230i | ||||
\(917\) | −32.8027 | − | 7.27793i | −1.08324 | − | 0.240339i | ||||
\(918\) | −22.5571 | − | 30.9871i | −0.744496 | − | 1.02273i | ||||
\(919\) | −16.3831 | −0.540429 | −0.270214 | − | 0.962800i | \(-0.587095\pi\) | ||||
−0.270214 | + | 0.962800i | \(0.587095\pi\) | |||||||
\(920\) | −0.429388 | −0.0141565 | ||||||||
\(921\) | −40.3731 | + | 8.59454i | −1.33034 | + | 0.283200i | ||||
\(922\) | −20.1442 | + | 11.6303i | −0.663414 | + | 0.383022i | ||||
\(923\) | 1.48828 | − | 21.9282i | 0.0489872 | − | 0.721776i | ||||
\(924\) | −0.112901 | + | 13.1482i | −0.00371416 | + | 0.432543i | ||||
\(925\) | 12.3970 | − | 46.2662i | 0.407611 | − | 1.52122i | ||||
\(926\) | 23.8642 | + | 13.7780i | 0.784227 | + | 0.452773i | ||||
\(927\) | −23.7024 | − | 17.1986i | −0.778491 | − | 0.564876i | ||||
\(928\) | 5.90244 | − | 1.58155i | 0.193757 | − | 0.0519171i | ||||
\(929\) | 18.6105 | − | 18.6105i | 0.610590 | − | 0.610590i | −0.332510 | − | 0.943100i | \(-0.607896\pi\) |
0.943100 | + | 0.332510i | \(0.107896\pi\) | |||||||
\(930\) | −0.257440 | + | 0.793149i | −0.00844180 | + | 0.0260084i | ||||
\(931\) | −8.99013 | + | 10.7068i | −0.294640 | + | 0.350900i | ||||
\(932\) | −20.0841 | − | 11.5956i | −0.657876 | − | 0.379825i | ||||
\(933\) | 19.8342 | − | 10.1137i | 0.649344 | − | 0.331109i | ||||
\(934\) | −6.37513 | + | 6.37513i | −0.208601 | + | 0.208601i | ||||
\(935\) | 0.675298 | − | 1.16965i | 0.0220846 | − | 0.0382516i | ||||
\(936\) | 6.93074 | − | 8.30451i | 0.226538 | − | 0.271441i | ||||
\(937\) | −34.3787 | −1.12310 | −0.561551 | − | 0.827442i | \(-0.689795\pi\) | ||||
−0.561551 | + | 0.827442i | \(0.689795\pi\) | |||||||
\(938\) | 34.6668 | − | 10.9240i | 1.13191 | − | 0.356682i | ||||
\(939\) | 1.89361 | − | 36.3458i | 0.0617955 | − | 1.18610i | ||||
\(940\) | − | 0.103405i | − | 0.00337270i | ||||||
\(941\) | −2.55110 | − | 9.52084i | −0.0831635 | − | 0.310371i | 0.911797 | − | 0.410642i | \(-0.134695\pi\) |
−0.994960 | + | 0.100272i | \(0.968029\pi\) | |||||||
\(942\) | 17.4294 | + | 19.3454i | 0.567881 | + | 0.630306i | ||||
\(943\) | −34.9294 | + | 34.9294i | −1.13746 | + | 1.13746i | ||||
\(944\) | 2.78260 | + | 2.78260i | 0.0905660 | + | 0.0905660i | ||||
\(945\) | −0.804279 | + | 0.350432i | −0.0261632 | + | 0.0113996i | ||||
\(946\) | 10.0932 | − | 5.82733i | 0.328159 | − | 0.189463i | ||||
\(947\) | 21.6218 | − | 5.79355i | 0.702615 | − | 0.188265i | 0.110214 | − | 0.993908i | \(-0.464847\pi\) |
0.592402 | + | 0.805643i | \(0.298180\pi\) | |||||||
\(948\) | −0.0148548 | − | 0.0291321i | −0.000482461 | − | 0.000946165i | ||||
\(949\) | −2.96236 | + | 43.6474i | −0.0961623 | + | 1.41685i | ||||
\(950\) | −8.64121 | + | 4.98900i | −0.280358 | + | 0.161865i | ||||
\(951\) | −13.5245 | − | 15.0112i | −0.438561 | − | 0.486770i | ||||
\(952\) | 16.4610 | − | 10.4830i | 0.533505 | − | 0.339755i | ||||
\(953\) | 2.63081 | − | 4.55670i | 0.0852203 | − | 0.147606i | −0.820265 | − | 0.571984i | \(-0.806174\pi\) |
0.905485 | + | 0.424378i | \(0.139507\pi\) | |||||||
\(954\) | 7.66459 | − | 1.21878i | 0.248150 | − | 0.0394595i | ||||
\(955\) | 0.311143 | − | 1.16120i | 0.0100684 | − | 0.0375757i | ||||
\(956\) | 1.94068 | − | 7.24272i | 0.0627661 | − | 0.234246i | ||||
\(957\) | −20.3273 | − | 22.5618i | −0.657087 | − | 0.729319i | ||||
\(958\) | 18.3796 | − | 31.8344i | 0.593818 | − | 1.02852i | ||||
\(959\) | 10.2596 | − | 6.53368i | 0.331300 | − | 0.210984i | ||||
\(960\) | 0.0821173 | − | 0.0739845i | 0.00265032 | − | 0.00238784i | ||||
\(961\) | 22.4454 | − | 12.9588i | 0.724044 | − | 0.418027i | ||||
\(962\) | −33.9195 | + | 6.66535i | −1.09361 | + | 0.214900i | ||||
\(963\) | 4.77917 | − | 45.7411i | 0.154007 | − | 1.47399i | ||||
\(964\) | −6.82907 | + | 1.82984i | −0.219949 | + | 0.0589353i | ||||
\(965\) | 1.08379 | − | 0.625726i | 0.0348884 | − | 0.0201428i | ||||
\(966\) | −0.264761 | + | 30.8335i | −0.00851855 | + | 0.992051i | ||||
\(967\) | 16.8953 | + | 16.8953i | 0.543317 | + | 0.543317i | 0.924500 | − | 0.381183i | \(-0.124483\pi\) |
−0.381183 | + | 0.924500i | \(0.624483\pi\) | |||||||
\(968\) | 1.95676 | − | 1.95676i | 0.0628927 | − | 0.0628927i | ||||
\(969\) | 18.9572 | − | 17.0797i | 0.608993 | − | 0.548679i | ||||
\(970\) | 0.142373 | + | 0.531343i | 0.00457132 | + | 0.0170604i | ||||
\(971\) | 42.5385i | 1.36513i | 0.730827 | + | 0.682563i | \(0.239135\pi\) | ||||
−0.730827 | + | 0.682563i | \(0.760865\pi\) | |||||||
\(972\) | −11.0058 | + | 11.0396i | −0.353010 | + | 0.354096i | ||||
\(973\) | −3.43684 | + | 1.08300i | −0.110180 | + | 0.0347194i | ||||
\(974\) | 5.34396 | 0.171232 | ||||||||
\(975\) | −4.41485 | − | 30.8856i | −0.141389 | − | 0.989131i | ||||
\(976\) | −6.00977 | + | 10.4092i | −0.192368 | + | 0.333191i | ||||
\(977\) | 30.6184 | − | 30.6184i | 0.979570 | − | 0.979570i | −0.0202254 | − | 0.999795i | \(-0.506438\pi\) |
0.999795 | + | 0.0202254i | \(0.00643837\pi\) | |||||||
\(978\) | 3.02720 | + | 5.93670i | 0.0967991 | + | 0.189835i | ||||
\(979\) | 12.7747 | + | 7.37548i | 0.408282 | + | 0.235721i | ||||
\(980\) | −0.152641 | − | 0.419815i | −0.00487594 | − | 0.0134105i | ||||
\(981\) | −13.2166 | − | 16.3006i | −0.421972 | − | 0.520438i | ||||
\(982\) | 11.1776 | − | 11.1776i | 0.356691 | − | 0.356691i | ||||
\(983\) | 31.3759 | − | 8.40716i | 1.00074 | − | 0.268147i | 0.278983 | − | 0.960296i | \(-0.410003\pi\) |
0.721754 | + | 0.692150i | \(0.243336\pi\) | |||||||
\(984\) | 0.661584 | − | 12.6984i | 0.0210905 | − | 0.404811i | ||||
\(985\) | 0.473736 | + | 0.273512i | 0.0150945 | + | 0.00871481i | ||||
\(986\) | −11.6659 | + | 43.5376i | −0.371517 | + | 1.38652i | ||||
\(987\) | −7.42531 | − | 0.0637597i | −0.236350 | − | 0.00202949i | ||||
\(988\) | 5.97822 | + | 4.01458i | 0.190192 | + | 0.127721i | ||||
\(989\) | 23.6694 | − | 13.6655i | 0.752643 | − | 0.434539i | ||||
\(990\) | −0.512941 | − | 0.196538i | −0.0163024 | − | 0.00624640i | ||||
\(991\) | −10.4829 | −0.332999 | −0.166500 | − | 0.986042i | \(-0.553246\pi\) | ||||
−0.166500 | + | 0.986042i | \(0.553246\pi\) | |||||||
\(992\) | −7.54438 | −0.239534 | ||||||||
\(993\) | 4.95476 | + | 23.2751i | 0.157234 | + | 0.738614i | ||||
\(994\) | −15.7450 | − | 3.49335i | −0.499402 | − | 0.110802i | ||||
\(995\) | 0.631279 | − | 0.169151i | 0.0200129 | − | 0.00536243i | ||||
\(996\) | −9.91852 | + | 8.93620i | −0.314280 | + | 0.283154i | ||||
\(997\) | 2.28613 | + | 3.95969i | 0.0724025 | + | 0.125405i | 0.899954 | − | 0.435985i | \(-0.143600\pi\) |
−0.827551 | + | 0.561390i | \(0.810267\pi\) | |||||||
\(998\) | −6.26353 | −0.198268 | ||||||||
\(999\) | 49.5403 | − | 5.25306i | 1.56738 | − | 0.166199i |
(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 | 546.2.bw.a.11.3 | ✓ | 152 | |
3.2 | odd | 2 | inner | 546.2.bw.a.11.22 | yes | 152 | |
7.2 | even | 3 | 546.2.ch.a.401.18 | yes | 152 | ||
13.6 | odd | 12 | 546.2.ch.a.305.29 | yes | 152 | ||
21.2 | odd | 6 | 546.2.ch.a.401.29 | yes | 152 | ||
39.32 | even | 12 | 546.2.ch.a.305.18 | yes | 152 | ||
91.58 | odd | 12 | inner | 546.2.bw.a.149.22 | yes | 152 | |
273.149 | even | 12 | inner | 546.2.bw.a.149.3 | yes | 152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bw.a.11.3 | ✓ | 152 | 1.1 | even | 1 | trivial | |
546.2.bw.a.11.22 | yes | 152 | 3.2 | odd | 2 | inner | |
546.2.bw.a.149.3 | yes | 152 | 273.149 | even | 12 | inner | |
546.2.bw.a.149.22 | yes | 152 | 91.58 | odd | 12 | inner | |
546.2.ch.a.305.18 | yes | 152 | 39.32 | even | 12 | ||
546.2.ch.a.305.29 | yes | 152 | 13.6 | odd | 12 | ||
546.2.ch.a.401.18 | yes | 152 | 7.2 | even | 3 | ||
546.2.ch.a.401.29 | yes | 152 | 21.2 | odd | 6 |