Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [98,2,Mod(15,98)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(98, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("98.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 98 = 2 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 98.e (of order \(7\), degree \(6\), 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: | \(0.782533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{7})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 6 x^{17} + 15 x^{16} - 23 x^{15} + 72 x^{14} - 85 x^{13} + 432 x^{12} - 282 x^{11} + 1786 x^{10} + \cdots + 729 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 7 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 71.1 | ||
Root | \(-0.392347 + 1.71899i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 98.71 |
Dual form | 98.2.e.a.29.1 |
$q$-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 \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{4}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.900969 | + | 0.433884i | −0.637081 | + | 0.306802i | ||||
\(3\) | −0.614868 | + | 2.69391i | −0.354994 | + | 1.55533i | 0.410482 | + | 0.911869i | \(0.365360\pi\) |
−0.765477 | + | 0.643464i | \(0.777497\pi\) | |||||||
\(4\) | 0.623490 | − | 0.781831i | 0.311745 | − | 0.390916i | ||||
\(5\) | 0.0678680 | − | 0.297349i | 0.0303515 | − | 0.132979i | −0.957482 | − | 0.288492i | \(-0.906846\pi\) |
0.987834 | + | 0.155514i | \(0.0497032\pi\) | |||||||
\(6\) | −0.614868 | − | 2.69391i | −0.251019 | − | 1.09979i | ||||
\(7\) | −1.53790 | + | 2.15287i | −0.581273 | + | 0.813709i | ||||
\(8\) | −0.222521 | + | 0.974928i | −0.0786730 | + | 0.344689i | ||||
\(9\) | −4.17621 | − | 2.01115i | −1.39207 | − | 0.670385i | ||||
\(10\) | 0.0678680 | + | 0.297349i | 0.0214617 | + | 0.0940300i | ||||
\(11\) | −2.90237 | + | 1.39771i | −0.875098 | + | 0.421425i | −0.816832 | − | 0.576876i | \(-0.804272\pi\) |
−0.0582666 | + | 0.998301i | \(0.518557\pi\) | |||||||
\(12\) | 1.72282 | + | 2.16035i | 0.497336 | + | 0.623640i | ||||
\(13\) | 3.16542 | − | 1.52439i | 0.877931 | − | 0.422789i | 0.0600623 | − | 0.998195i | \(-0.480870\pi\) |
0.817868 | + | 0.575406i | \(0.195156\pi\) | |||||||
\(14\) | 0.451508 | − | 2.60694i | 0.120671 | − | 0.696734i | ||||
\(15\) | 0.759303 | + | 0.365661i | 0.196051 | + | 0.0944133i | ||||
\(16\) | −0.222521 | − | 0.974928i | −0.0556302 | − | 0.243732i | ||||
\(17\) | 2.75535 | + | 3.45509i | 0.668269 | + | 0.837983i | 0.994215 | − | 0.107405i | \(-0.0342542\pi\) |
−0.325946 | + | 0.945388i | \(0.605683\pi\) | |||||||
\(18\) | 4.63524 | 1.09254 | ||||||||
\(19\) | 7.35859 | 1.68818 | 0.844088 | − | 0.536205i | \(-0.180142\pi\) | ||||
0.844088 | + | 0.536205i | \(0.180142\pi\) | |||||||
\(20\) | −0.190162 | − | 0.238455i | −0.0425215 | − | 0.0533202i | ||||
\(21\) | −4.85404 | − | 5.46671i | −1.05924 | − | 1.19293i | ||||
\(22\) | 2.00850 | − | 2.51859i | 0.428215 | − | 0.536964i | ||||
\(23\) | 0.386439 | − | 0.484579i | 0.0805781 | − | 0.101042i | −0.739908 | − | 0.672708i | \(-0.765131\pi\) |
0.820487 | + | 0.571666i | \(0.193703\pi\) | |||||||
\(24\) | −2.48955 | − | 1.19890i | −0.508178 | − | 0.244725i | ||||
\(25\) | 4.42103 | + | 2.12906i | 0.884207 | + | 0.425812i | ||||
\(26\) | −2.19054 | + | 2.74685i | −0.429600 | + | 0.538702i | ||||
\(27\) | 2.81723 | − | 3.53269i | 0.542176 | − | 0.679867i | ||||
\(28\) | 0.724314 | + | 2.54467i | 0.136883 | + | 0.480898i | ||||
\(29\) | −5.75602 | − | 7.21782i | −1.06887 | − | 1.34032i | −0.937110 | − | 0.349033i | \(-0.886510\pi\) |
−0.131755 | − | 0.991282i | \(-0.542061\pi\) | |||||||
\(30\) | −0.842763 | −0.153867 | ||||||||
\(31\) | 0.217697 | 0.0390995 | 0.0195498 | − | 0.999809i | \(-0.493777\pi\) | ||||
0.0195498 | + | 0.999809i | \(0.493777\pi\) | |||||||
\(32\) | 0.623490 | + | 0.781831i | 0.110218 | + | 0.138210i | ||||
\(33\) | −1.98073 | − | 8.67815i | −0.344801 | − | 1.51067i | ||||
\(34\) | −3.98159 | − | 1.91743i | −0.682837 | − | 0.328837i | ||||
\(35\) | 0.535779 | + | 0.603405i | 0.0905633 | + | 0.101994i | ||||
\(36\) | −4.17621 | + | 2.01115i | −0.696034 | + | 0.335192i | ||||
\(37\) | 3.50174 | + | 4.39104i | 0.575682 | + | 0.721882i | 0.981370 | − | 0.192130i | \(-0.0615394\pi\) |
−0.405688 | + | 0.914012i | \(0.632968\pi\) | |||||||
\(38\) | −6.62986 | + | 3.19277i | −1.07551 | + | 0.517936i | ||||
\(39\) | 2.16025 | + | 9.46468i | 0.345917 | + | 1.51556i | ||||
\(40\) | 0.274792 | + | 0.132333i | 0.0434484 | + | 0.0209236i | ||||
\(41\) | −1.74891 | + | 7.66248i | −0.273134 | + | 1.19668i | 0.633156 | + | 0.774024i | \(0.281759\pi\) |
−0.906291 | + | 0.422655i | \(0.861098\pi\) | |||||||
\(42\) | 6.74526 | + | 2.81925i | 1.04082 | + | 0.435020i | ||||
\(43\) | −1.05285 | − | 4.61285i | −0.160559 | − | 0.703453i | −0.989550 | − | 0.144191i | \(-0.953942\pi\) |
0.828991 | − | 0.559262i | \(-0.188915\pi\) | |||||||
\(44\) | −0.716827 | + | 3.14062i | −0.108066 | + | 0.473467i | ||||
\(45\) | −0.881446 | + | 1.10530i | −0.131398 | + | 0.164768i | ||||
\(46\) | −0.137919 | + | 0.604261i | −0.0203350 | + | 0.0890934i | ||||
\(47\) | 6.67942 | − | 3.21664i | 0.974293 | − | 0.469195i | 0.122155 | − | 0.992511i | \(-0.461020\pi\) |
0.852139 | + | 0.523316i | \(0.175305\pi\) | |||||||
\(48\) | 2.76319 | 0.398833 | ||||||||
\(49\) | −2.26970 | − | 6.62182i | −0.324243 | − | 0.945974i | ||||
\(50\) | −4.90698 | −0.693951 | ||||||||
\(51\) | −11.0019 | + | 5.29824i | −1.54057 | + | 0.741902i | ||||
\(52\) | 0.781795 | − | 3.42527i | 0.108415 | − | 0.474999i | ||||
\(53\) | 0.591357 | − | 0.741538i | 0.0812291 | − | 0.101858i | −0.739556 | − | 0.673095i | \(-0.764965\pi\) |
0.820785 | + | 0.571237i | \(0.193536\pi\) | |||||||
\(54\) | −1.00546 | + | 4.40519i | −0.136825 | + | 0.599471i | ||||
\(55\) | 0.218629 | + | 0.957878i | 0.0294800 | + | 0.129160i | ||||
\(56\) | −1.75668 | − | 1.97840i | −0.234746 | − | 0.264375i | ||||
\(57\) | −4.52456 | + | 19.8234i | −0.599293 | + | 2.62567i | ||||
\(58\) | 8.31769 | + | 4.00559i | 1.09217 | + | 0.525959i | ||||
\(59\) | −1.27096 | − | 5.56845i | −0.165465 | − | 0.724951i | −0.987772 | − | 0.155906i | \(-0.950170\pi\) |
0.822307 | − | 0.569045i | \(-0.192687\pi\) | |||||||
\(60\) | 0.759303 | − | 0.365661i | 0.0980256 | − | 0.0472066i | ||||
\(61\) | −5.07995 | − | 6.37005i | −0.650421 | − | 0.815602i | 0.341842 | − | 0.939757i | \(-0.388949\pi\) |
−0.992263 | + | 0.124156i | \(0.960378\pi\) | |||||||
\(62\) | −0.196138 | + | 0.0944551i | −0.0249096 | + | 0.0119958i | ||||
\(63\) | 10.7524 | − | 5.89787i | 1.35467 | − | 0.743061i | ||||
\(64\) | −0.900969 | − | 0.433884i | −0.112621 | − | 0.0542355i | ||||
\(65\) | −0.238444 | − | 1.04469i | −0.0295754 | − | 0.129578i | ||||
\(66\) | 5.54989 | + | 6.95934i | 0.683144 | + | 0.856635i | ||||
\(67\) | −10.6258 | −1.29815 | −0.649074 | − | 0.760726i | \(-0.724843\pi\) | ||||
−0.649074 | + | 0.760726i | \(0.724843\pi\) | |||||||
\(68\) | 4.41923 | 0.535910 | ||||||||
\(69\) | 1.06781 | + | 1.33899i | 0.128549 | + | 0.161195i | ||||
\(70\) | −0.744528 | − | 0.311183i | −0.0889882 | − | 0.0371935i | ||||
\(71\) | 4.03119 | − | 5.05495i | 0.478414 | − | 0.599912i | −0.482795 | − | 0.875733i | \(-0.660378\pi\) |
0.961209 | + | 0.275821i | \(0.0889498\pi\) | |||||||
\(72\) | 2.89002 | − | 3.62398i | 0.340593 | − | 0.427090i | ||||
\(73\) | −7.99496 | − | 3.85017i | −0.935739 | − | 0.450628i | −0.0970749 | − | 0.995277i | \(-0.530949\pi\) |
−0.838664 | + | 0.544649i | \(0.816663\pi\) | |||||||
\(74\) | −5.06015 | − | 2.43684i | −0.588231 | − | 0.283277i | ||||
\(75\) | −8.45385 | + | 10.6008i | −0.976167 | + | 1.22407i | ||||
\(76\) | 4.58801 | − | 5.75318i | 0.526280 | − | 0.659935i | ||||
\(77\) | 1.45448 | − | 8.39798i | 0.165754 | − | 0.957038i | ||||
\(78\) | −6.05289 | − | 7.59008i | −0.685355 | − | 0.859408i | ||||
\(79\) | 6.04550 | 0.680171 | 0.340086 | − | 0.940394i | \(-0.389544\pi\) | ||||
0.340086 | + | 0.940394i | \(0.389544\pi\) | |||||||
\(80\) | −0.304996 | −0.0340996 | ||||||||
\(81\) | −0.885528 | − | 1.11042i | −0.0983920 | − | 0.123380i | ||||
\(82\) | −1.74891 | − | 7.66248i | −0.193135 | − | 0.846180i | ||||
\(83\) | 3.28884 | + | 1.58382i | 0.360997 | + | 0.173847i | 0.605586 | − | 0.795780i | \(-0.292939\pi\) |
−0.244589 | + | 0.969627i | \(0.578653\pi\) | |||||||
\(84\) | −7.30049 | + | 0.386601i | −0.796549 | + | 0.0421816i | ||||
\(85\) | 1.21437 | − | 0.584809i | 0.131717 | − | 0.0634314i | ||||
\(86\) | 2.95003 | + | 3.69922i | 0.318110 | + | 0.398897i | ||||
\(87\) | 22.9834 | − | 11.0682i | 2.46408 | − | 1.18664i | ||||
\(88\) | −0.716827 | − | 3.14062i | −0.0764140 | − | 0.334792i | ||||
\(89\) | 12.1155 | + | 5.83449i | 1.28424 | + | 0.618455i | 0.946475 | − | 0.322777i | \(-0.104616\pi\) |
0.337760 | + | 0.941232i | \(0.390331\pi\) | |||||||
\(90\) | 0.314584 | − | 1.37828i | 0.0331601 | − | 0.145284i | ||||
\(91\) | −1.58631 | + | 9.15911i | −0.166290 | + | 0.960136i | ||||
\(92\) | −0.137919 | − | 0.604261i | −0.0143790 | − | 0.0629985i | ||||
\(93\) | −0.133855 | + | 0.586457i | −0.0138801 | + | 0.0608127i | ||||
\(94\) | −4.62230 | + | 5.79618i | −0.476754 | + | 0.597830i | ||||
\(95\) | 0.499412 | − | 2.18807i | 0.0512386 | − | 0.224491i | ||||
\(96\) | −2.48955 | + | 1.19890i | −0.254089 | + | 0.122363i | ||||
\(97\) | −1.31171 | −0.133184 | −0.0665918 | − | 0.997780i | \(-0.521213\pi\) | ||||
−0.0665918 | + | 0.997780i | \(0.521213\pi\) | |||||||
\(98\) | 4.91803 | + | 4.98126i | 0.496796 | + | 0.503184i | ||||
\(99\) | 14.9319 | 1.50071 | ||||||||
\(100\) | 4.42103 | − | 2.12906i | 0.442103 | − | 0.212906i | ||||
\(101\) | −1.03090 | + | 4.51667i | −0.102578 | + | 0.449425i | 0.897388 | + | 0.441242i | \(0.145462\pi\) |
−0.999967 | + | 0.00818316i | \(0.997395\pi\) | |||||||
\(102\) | 7.61355 | − | 9.54709i | 0.753854 | − | 0.945303i | ||||
\(103\) | −3.37168 | + | 14.7723i | −0.332222 | + | 1.45556i | 0.482597 | + | 0.875842i | \(0.339693\pi\) |
−0.814819 | + | 0.579715i | \(0.803164\pi\) | |||||||
\(104\) | 0.781795 | + | 3.42527i | 0.0766613 | + | 0.335875i | ||||
\(105\) | −1.95496 | + | 1.07233i | −0.190784 | + | 0.104649i | ||||
\(106\) | −0.211053 | + | 0.924683i | −0.0204993 | + | 0.0898131i | ||||
\(107\) | −15.7644 | − | 7.59173i | −1.52400 | − | 0.733920i | −0.530494 | − | 0.847689i | \(-0.677994\pi\) |
−0.993507 | + | 0.113768i | \(0.963708\pi\) | |||||||
\(108\) | −1.00546 | − | 4.40519i | −0.0967501 | − | 0.423890i | ||||
\(109\) | 16.9361 | − | 8.15600i | 1.62219 | − | 0.781203i | 0.622187 | − | 0.782869i | \(-0.286244\pi\) |
0.999999 | + | 0.00166555i | \(0.000530162\pi\) | |||||||
\(110\) | −0.612586 | − | 0.768158i | −0.0584078 | − | 0.0732410i | ||||
\(111\) | −13.9822 | + | 6.73347i | −1.32713 | + | 0.639112i | ||||
\(112\) | 2.44111 | + | 1.02029i | 0.230663 | + | 0.0964080i | ||||
\(113\) | 12.6465 | + | 6.09021i | 1.18968 | + | 0.572919i | 0.920717 | − | 0.390232i | \(-0.127605\pi\) |
0.268962 | + | 0.963151i | \(0.413320\pi\) | |||||||
\(114\) | −4.52456 | − | 19.8234i | −0.423764 | − | 1.85663i | ||||
\(115\) | −0.117862 | − | 0.147795i | −0.0109907 | − | 0.0137819i | ||||
\(116\) | −9.23194 | −0.857164 | ||||||||
\(117\) | −16.2852 | −1.50557 | ||||||||
\(118\) | 3.56116 | + | 4.46555i | 0.327831 | + | 0.411087i | ||||
\(119\) | −11.6758 | + | 0.618299i | −1.07032 | + | 0.0566793i | ||||
\(120\) | −0.525454 | + | 0.658898i | −0.0479672 | + | 0.0601489i | ||||
\(121\) | −0.388208 | + | 0.486798i | −0.0352917 | + | 0.0442543i | ||||
\(122\) | 7.34074 | + | 3.53511i | 0.664599 | + | 0.320054i | ||||
\(123\) | −19.5667 | − | 9.42284i | −1.76427 | − | 0.849629i | ||||
\(124\) | 0.135732 | − | 0.170202i | 0.0121891 | − | 0.0152846i | ||||
\(125\) | 1.88393 | − | 2.36237i | 0.168504 | − | 0.211297i | ||||
\(126\) | −7.12855 | + | 9.97907i | −0.635062 | + | 0.889006i | ||||
\(127\) | −5.59666 | − | 7.01799i | −0.496623 | − | 0.622746i | 0.468841 | − | 0.883283i | \(-0.344672\pi\) |
−0.965464 | + | 0.260537i | \(0.916100\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | 13.0740 | 1.15110 | ||||||||
\(130\) | 0.668106 | + | 0.837778i | 0.0585968 | + | 0.0734780i | ||||
\(131\) | −2.24783 | − | 9.84839i | −0.196394 | − | 0.860458i | −0.973061 | − | 0.230547i | \(-0.925948\pi\) |
0.776667 | − | 0.629911i | \(-0.216909\pi\) | |||||||
\(132\) | −8.01982 | − | 3.86214i | −0.698036 | − | 0.336156i | ||||
\(133\) | −11.3168 | + | 15.8421i | −0.981291 | + | 1.37368i | ||||
\(134\) | 9.57351 | − | 4.61036i | 0.827025 | − | 0.398274i | ||||
\(135\) | −0.859243 | − | 1.07746i | −0.0739518 | − | 0.0927327i | ||||
\(136\) | −3.98159 | + | 1.91743i | −0.341418 | + | 0.164418i | ||||
\(137\) | 0.652348 | + | 2.85812i | 0.0557338 | + | 0.244186i | 0.995120 | − | 0.0986761i | \(-0.0314608\pi\) |
−0.939386 | + | 0.342862i | \(0.888604\pi\) | |||||||
\(138\) | −1.54302 | − | 0.743081i | −0.131351 | − | 0.0632553i | ||||
\(139\) | −1.43816 | + | 6.30098i | −0.121983 | + | 0.534442i | 0.876600 | + | 0.481220i | \(0.159806\pi\) |
−0.998583 | + | 0.0532218i | \(0.983051\pi\) | |||||||
\(140\) | 0.805814 | − | 0.0426723i | 0.0681037 | − | 0.00360646i | ||||
\(141\) | 4.55839 | + | 19.9716i | 0.383885 | + | 1.68191i | ||||
\(142\) | −1.43871 | + | 6.30342i | −0.120734 | + | 0.528971i | ||||
\(143\) | −7.05659 | + | 8.84868i | −0.590102 | + | 0.739964i | ||||
\(144\) | −1.03144 | + | 4.51902i | −0.0859531 | + | 0.376585i | ||||
\(145\) | −2.53686 | + | 1.22169i | −0.210675 | + | 0.101456i | ||||
\(146\) | 8.87373 | 0.734395 | ||||||||
\(147\) | 19.2342 | − | 2.04284i | 1.58641 | − | 0.168490i | ||||
\(148\) | 5.61635 | 0.461661 | ||||||||
\(149\) | 11.3953 | − | 5.48768i | 0.933538 | − | 0.449568i | 0.0956526 | − | 0.995415i | \(-0.469506\pi\) |
0.837885 | + | 0.545847i | \(0.183792\pi\) | |||||||
\(150\) | 3.01715 | − | 13.2190i | 0.246349 | − | 1.07933i | ||||
\(151\) | 1.48637 | − | 1.86385i | 0.120959 | − | 0.151678i | −0.717665 | − | 0.696388i | \(-0.754789\pi\) |
0.838624 | + | 0.544711i | \(0.183361\pi\) | |||||||
\(152\) | −1.63744 | + | 7.17409i | −0.132814 | + | 0.581896i | ||||
\(153\) | −4.55816 | − | 19.9706i | −0.368505 | − | 1.61453i | ||||
\(154\) | 2.33330 | + | 8.19739i | 0.188023 | + | 0.660565i | ||||
\(155\) | 0.0147746 | − | 0.0647320i | 0.00118673 | − | 0.00519940i | ||||
\(156\) | 8.74668 | + | 4.21218i | 0.700295 | + | 0.337244i | ||||
\(157\) | −1.71864 | − | 7.52986i | −0.137163 | − | 0.600949i | −0.996051 | − | 0.0887854i | \(-0.971701\pi\) |
0.858888 | − | 0.512163i | \(-0.171156\pi\) | |||||||
\(158\) | −5.44680 | + | 2.62304i | −0.433324 | + | 0.208678i | ||||
\(159\) | 1.63403 | + | 2.04901i | 0.129587 | + | 0.162497i | ||||
\(160\) | 0.274792 | − | 0.132333i | 0.0217242 | − | 0.0104618i | ||||
\(161\) | 0.448930 | + | 1.57719i | 0.0353807 | + | 0.124300i | ||||
\(162\) | 1.27962 | + | 0.616235i | 0.100537 | + | 0.0484160i | ||||
\(163\) | 2.99624 | + | 13.1274i | 0.234684 | + | 1.02822i | 0.945700 | + | 0.325041i | \(0.105378\pi\) |
−0.711016 | + | 0.703176i | \(0.751765\pi\) | |||||||
\(164\) | 4.90034 | + | 6.14483i | 0.382652 | + | 0.479831i | ||||
\(165\) | −2.71487 | −0.211352 | ||||||||
\(166\) | −3.65034 | −0.283321 | ||||||||
\(167\) | 6.00914 | + | 7.53523i | 0.465001 | + | 0.583093i | 0.957939 | − | 0.286971i | \(-0.0926484\pi\) |
−0.492938 | + | 0.870065i | \(0.664077\pi\) | |||||||
\(168\) | 6.40978 | − | 3.51588i | 0.494525 | − | 0.271256i | ||||
\(169\) | −0.409218 | + | 0.513143i | −0.0314783 | + | 0.0394726i | ||||
\(170\) | −0.840369 | + | 1.05379i | −0.0644534 | + | 0.0808220i | ||||
\(171\) | −30.7310 | − | 14.7993i | −2.35006 | − | 1.13173i | ||||
\(172\) | −4.26291 | − | 2.05291i | −0.325044 | − | 0.156533i | ||||
\(173\) | 3.26389 | − | 4.09279i | 0.248149 | − | 0.311169i | −0.642120 | − | 0.766604i | \(-0.721945\pi\) |
0.890269 | + | 0.455435i | \(0.150516\pi\) | |||||||
\(174\) | −15.9050 | + | 19.9442i | −1.20575 | + | 1.51197i | ||||
\(175\) | −11.3827 | + | 6.24363i | −0.860452 | + | 0.471974i | ||||
\(176\) | 2.00850 | + | 2.51859i | 0.151397 | + | 0.189846i | ||||
\(177\) | 15.7824 | 1.18628 | ||||||||
\(178\) | −13.4471 | −1.00791 | ||||||||
\(179\) | 2.21922 | + | 2.78282i | 0.165872 | + | 0.207997i | 0.857820 | − | 0.513950i | \(-0.171818\pi\) |
−0.691947 | + | 0.721948i | \(0.743247\pi\) | |||||||
\(180\) | 0.314584 | + | 1.37828i | 0.0234477 | + | 0.102731i | ||||
\(181\) | 0.0944982 | + | 0.0455079i | 0.00702399 | + | 0.00338258i | 0.437392 | − | 0.899271i | \(-0.355902\pi\) |
−0.430368 | + | 0.902653i | \(0.641616\pi\) | |||||||
\(182\) | −2.54477 | − | 8.94035i | −0.188631 | − | 0.662703i | ||||
\(183\) | 20.2839 | − | 9.76820i | 1.49943 | − | 0.722086i | ||||
\(184\) | 0.386439 | + | 0.484579i | 0.0284887 | + | 0.0357237i | ||||
\(185\) | 1.54333 | − | 0.743227i | 0.113468 | − | 0.0546431i | ||||
\(186\) | −0.133855 | − | 0.586457i | −0.00981472 | − | 0.0430011i | ||||
\(187\) | −12.8263 | − | 6.17680i | −0.937949 | − | 0.451692i | ||||
\(188\) | 1.64968 | − | 7.22772i | 0.120315 | − | 0.527136i | ||||
\(189\) | 3.27280 | + | 11.4981i | 0.238061 | + | 0.836361i | ||||
\(190\) | 0.499412 | + | 2.18807i | 0.0362312 | + | 0.158739i | ||||
\(191\) | 3.08828 | − | 13.5307i | 0.223460 | − | 0.979043i | −0.731391 | − | 0.681959i | \(-0.761128\pi\) |
0.954851 | − | 0.297085i | \(-0.0960144\pi\) | |||||||
\(192\) | 1.72282 | − | 2.16035i | 0.124334 | − | 0.155910i | ||||
\(193\) | 0.499383 | − | 2.18794i | 0.0359464 | − | 0.157491i | −0.953769 | − | 0.300540i | \(-0.902833\pi\) |
0.989716 | + | 0.143048i | \(0.0456904\pi\) | |||||||
\(194\) | 1.18181 | − | 0.569128i | 0.0848488 | − | 0.0408610i | ||||
\(195\) | 2.96092 | 0.212036 | ||||||||
\(196\) | −6.59228 | − | 2.35411i | −0.470877 | − | 0.168151i | ||||
\(197\) | −4.50336 | −0.320851 | −0.160426 | − | 0.987048i | \(-0.551287\pi\) | ||||
−0.160426 | + | 0.987048i | \(0.551287\pi\) | |||||||
\(198\) | −13.4532 | + | 6.47872i | −0.956077 | + | 0.460422i | ||||
\(199\) | 1.68471 | − | 7.38118i | 0.119426 | − | 0.523238i | −0.879457 | − | 0.475978i | \(-0.842094\pi\) |
0.998883 | − | 0.0472597i | \(-0.0150488\pi\) | |||||||
\(200\) | −3.05945 | + | 3.83643i | −0.216336 | + | 0.271277i | ||||
\(201\) | 6.53347 | − | 28.6250i | 0.460835 | − | 2.01905i | ||||
\(202\) | −1.03090 | − | 4.51667i | −0.0725339 | − | 0.317792i | ||||
\(203\) | 24.3912 | − | 1.29165i | 1.71193 | − | 0.0906560i | ||||
\(204\) | −2.71725 | + | 11.9050i | −0.190245 | + | 0.833519i | ||||
\(205\) | 2.15974 | + | 1.04007i | 0.150843 | + | 0.0726419i | ||||
\(206\) | −3.37168 | − | 14.7723i | −0.234916 | − | 1.02923i | ||||
\(207\) | −2.58841 | + | 1.24651i | −0.179907 | + | 0.0866387i | ||||
\(208\) | −2.19054 | − | 2.74685i | −0.151887 | − | 0.190460i | ||||
\(209\) | −21.3574 | + | 10.2852i | −1.47732 | + | 0.711440i | ||||
\(210\) | 1.29609 | − | 1.81436i | 0.0894386 | − | 0.125203i | ||||
\(211\) | −15.1223 | − | 7.28251i | −1.04106 | − | 0.501349i | −0.166387 | − | 0.986061i | \(-0.553210\pi\) |
−0.874674 | + | 0.484712i | \(0.838924\pi\) | |||||||
\(212\) | −0.211053 | − | 0.924683i | −0.0144952 | − | 0.0635075i | ||||
\(213\) | 11.1390 | + | 13.9678i | 0.763228 | + | 0.957058i | ||||
\(214\) | 17.4972 | 1.19608 | ||||||||
\(215\) | −1.44308 | −0.0984173 | ||||||||
\(216\) | 2.81723 | + | 3.53269i | 0.191688 | + | 0.240369i | ||||
\(217\) | −0.334797 | + | 0.468673i | −0.0227275 | + | 0.0318156i | ||||
\(218\) | −11.7202 | + | 14.6966i | −0.793789 | + | 0.995380i | ||||
\(219\) | 15.2879 | − | 19.1704i | 1.03306 | − | 1.29541i | ||||
\(220\) | 0.885212 | + | 0.426296i | 0.0596810 | + | 0.0287408i | ||||
\(221\) | 13.9887 | + | 6.73662i | 0.940984 | + | 0.453154i | ||||
\(222\) | 9.67597 | − | 12.1333i | 0.649409 | − | 0.814333i | ||||
\(223\) | 4.66036 | − | 5.84391i | 0.312081 | − | 0.391337i | −0.600910 | − | 0.799316i | \(-0.705195\pi\) |
0.912991 | + | 0.407980i | \(0.133767\pi\) | |||||||
\(224\) | −2.64205 | + | 0.139911i | −0.176529 | + | 0.00934819i | ||||
\(225\) | −14.1813 | − | 17.7828i | −0.945419 | − | 1.18552i | ||||
\(226\) | −14.0365 | −0.933694 | ||||||||
\(227\) | −6.67021 | −0.442717 | −0.221359 | − | 0.975192i | \(-0.571049\pi\) | ||||
−0.221359 | + | 0.975192i | \(0.571049\pi\) | |||||||
\(228\) | 12.6775 | + | 15.8971i | 0.839591 | + | 1.05281i | ||||
\(229\) | 2.75211 | + | 12.0578i | 0.181864 | + | 0.796799i | 0.980742 | + | 0.195306i | \(0.0625701\pi\) |
−0.798878 | + | 0.601493i | \(0.794573\pi\) | |||||||
\(230\) | 0.170316 | + | 0.0820199i | 0.0112303 | + | 0.00540823i | ||||
\(231\) | 21.7291 | + | 9.08191i | 1.42967 | + | 0.597546i | ||||
\(232\) | 8.31769 | − | 4.00559i | 0.546083 | − | 0.262980i | ||||
\(233\) | −8.24409 | − | 10.3378i | −0.540088 | − | 0.677249i | 0.434650 | − | 0.900599i | \(-0.356872\pi\) |
−0.974738 | + | 0.223350i | \(0.928301\pi\) | |||||||
\(234\) | 14.6725 | − | 7.06590i | 0.959171 | − | 0.461912i | ||||
\(235\) | −0.503146 | − | 2.20442i | −0.0328216 | − | 0.143801i | ||||
\(236\) | −5.14602 | − | 2.47819i | −0.334978 | − | 0.161317i | ||||
\(237\) | −3.71718 | + | 16.2861i | −0.241457 | + | 1.05789i | ||||
\(238\) | 10.2513 | − | 5.62302i | 0.664492 | − | 0.364486i | ||||
\(239\) | −3.84788 | − | 16.8587i | −0.248899 | − | 1.09050i | −0.932650 | − | 0.360782i | \(-0.882510\pi\) |
0.683751 | − | 0.729715i | \(-0.260347\pi\) | |||||||
\(240\) | 0.187532 | − | 0.821633i | 0.0121052 | − | 0.0530362i | ||||
\(241\) | −1.86221 | + | 2.33514i | −0.119956 | + | 0.150420i | −0.838183 | − | 0.545388i | \(-0.816382\pi\) |
0.718228 | + | 0.695808i | \(0.244954\pi\) | |||||||
\(242\) | 0.138550 | − | 0.607027i | 0.00890633 | − | 0.0390212i | ||||
\(243\) | 15.7489 | − | 7.58426i | 1.01029 | − | 0.486531i | ||||
\(244\) | −8.14760 | −0.521597 | ||||||||
\(245\) | −2.12303 | + | 0.225484i | −0.135635 | + | 0.0144057i | ||||
\(246\) | 21.7174 | 1.38465 | ||||||||
\(247\) | 23.2931 | − | 11.2173i | 1.48210 | − | 0.713742i | ||||
\(248\) | −0.0484421 | + | 0.212239i | −0.00307608 | + | 0.0134772i | ||||
\(249\) | −6.28889 | + | 7.88602i | −0.398542 | + | 0.499756i | ||||
\(250\) | −0.672366 | + | 2.94583i | −0.0425242 | + | 0.186311i | ||||
\(251\) | −0.168158 | − | 0.736748i | −0.0106140 | − | 0.0465031i | 0.969344 | − | 0.245709i | \(-0.0790208\pi\) |
−0.979958 | + | 0.199206i | \(0.936164\pi\) | |||||||
\(252\) | 2.09285 | − | 12.0838i | 0.131837 | − | 0.761207i | ||||
\(253\) | −0.444290 | + | 1.94656i | −0.0279322 | + | 0.122379i | ||||
\(254\) | 8.08741 | + | 3.89469i | 0.507449 | + | 0.244375i | ||||
\(255\) | 0.828749 | + | 3.63099i | 0.0518983 | + | 0.227381i | ||||
\(256\) | −0.900969 | + | 0.433884i | −0.0563106 | + | 0.0271177i | ||||
\(257\) | 8.80838 | + | 11.0454i | 0.549452 | + | 0.688990i | 0.976569 | − | 0.215206i | \(-0.0690423\pi\) |
−0.427117 | + | 0.904196i | \(0.640471\pi\) | |||||||
\(258\) | −11.7793 | + | 5.67259i | −0.733344 | + | 0.353160i | ||||
\(259\) | −14.8387 | + | 0.785788i | −0.922030 | + | 0.0488265i | ||||
\(260\) | −0.965441 | − | 0.464932i | −0.0598741 | − | 0.0288339i | ||||
\(261\) | 9.52217 | + | 41.7193i | 0.589407 | + | 2.58236i | ||||
\(262\) | 6.29828 | + | 7.89780i | 0.389109 | + | 0.487927i | ||||
\(263\) | −10.8638 | −0.669889 | −0.334944 | − | 0.942238i | \(-0.608717\pi\) | ||||
−0.334944 | + | 0.942238i | \(0.608717\pi\) | |||||||
\(264\) | 8.90133 | 0.547839 | ||||||||
\(265\) | −0.180361 | − | 0.226166i | −0.0110795 | − | 0.0138933i | ||||
\(266\) | 3.32246 | − | 19.1834i | 0.203713 | − | 1.17621i | ||||
\(267\) | −23.1670 | + | 29.0505i | −1.41780 | + | 1.77786i | ||||
\(268\) | −6.62507 | + | 8.30758i | −0.404691 | + | 0.507466i | ||||
\(269\) | 4.31980 | + | 2.08031i | 0.263383 | + | 0.126839i | 0.560915 | − | 0.827873i | \(-0.310449\pi\) |
−0.297532 | + | 0.954712i | \(0.596164\pi\) | |||||||
\(270\) | 1.24164 | + | 0.597943i | 0.0755639 | + | 0.0363897i | ||||
\(271\) | −12.8835 | + | 16.1554i | −0.782619 | + | 0.981374i | 0.217367 | + | 0.976090i | \(0.430253\pi\) |
−0.999986 | + | 0.00528365i | \(0.998318\pi\) | |||||||
\(272\) | 2.75535 | − | 3.45509i | 0.167067 | − | 0.209496i | ||||
\(273\) | −23.6985 | − | 9.90503i | −1.43430 | − | 0.599480i | ||||
\(274\) | −1.82784 | − | 2.29204i | −0.110424 | − | 0.138467i | ||||
\(275\) | −15.8073 | −0.953216 | ||||||||
\(276\) | 1.71263 | 0.103088 | ||||||||
\(277\) | −10.9399 | − | 13.7182i | −0.657314 | − | 0.824246i | 0.335734 | − | 0.941957i | \(-0.391016\pi\) |
−0.993048 | + | 0.117711i | \(0.962444\pi\) | |||||||
\(278\) | −1.43816 | − | 6.30098i | −0.0862549 | − | 0.377907i | ||||
\(279\) | −0.909147 | − | 0.437822i | −0.0544292 | − | 0.0262117i | ||||
\(280\) | −0.707499 | + | 0.388076i | −0.0422811 | + | 0.0231920i | ||||
\(281\) | −2.66505 | + | 1.28342i | −0.158984 | + | 0.0765624i | −0.511683 | − | 0.859174i | \(-0.670978\pi\) |
0.352700 | + | 0.935736i | \(0.385264\pi\) | |||||||
\(282\) | −12.7723 | − | 16.0160i | −0.760580 | − | 0.953737i | ||||
\(283\) | −12.6835 | + | 6.10807i | −0.753958 | + | 0.363087i | −0.771056 | − | 0.636767i | \(-0.780271\pi\) |
0.0170985 | + | 0.999854i | \(0.494557\pi\) | |||||||
\(284\) | −1.43871 | − | 6.30342i | −0.0853720 | − | 0.374039i | ||||
\(285\) | 5.58740 | + | 2.69075i | 0.330969 | + | 0.159386i | ||||
\(286\) | 2.51847 | − | 11.0341i | 0.148920 | − | 0.652462i | ||||
\(287\) | −13.8067 | − | 15.5493i | −0.814982 | − | 0.917849i | ||||
\(288\) | −1.03144 | − | 4.51902i | −0.0607781 | − | 0.266286i | ||||
\(289\) | −0.562889 | + | 2.46618i | −0.0331111 | + | 0.145069i | ||||
\(290\) | 1.75556 | − | 2.20141i | 0.103090 | − | 0.129271i | ||||
\(291\) | 0.806527 | − | 3.53362i | 0.0472794 | − | 0.207145i | ||||
\(292\) | −7.99496 | + | 3.85017i | −0.467870 | + | 0.225314i | ||||
\(293\) | 12.7473 | 0.744704 | 0.372352 | − | 0.928092i | \(-0.378551\pi\) | ||||
0.372352 | + | 0.928092i | \(0.378551\pi\) | |||||||
\(294\) | −16.4430 | + | 10.1859i | −0.958978 | + | 0.594055i | ||||
\(295\) | −1.74203 | −0.101425 | ||||||||
\(296\) | −5.06015 | + | 2.43684i | −0.294116 | + | 0.141639i | ||||
\(297\) | −3.23897 | + | 14.1909i | −0.187944 | + | 0.823437i | ||||
\(298\) | −7.88578 | + | 9.88845i | −0.456811 | + | 0.572823i | ||||
\(299\) | 0.484557 | − | 2.12298i | 0.0280226 | − | 0.122775i | ||||
\(300\) | 3.01715 | + | 13.2190i | 0.174195 | + | 0.763198i | ||||
\(301\) | 11.5501 | + | 4.82746i | 0.665734 | + | 0.278250i | ||||
\(302\) | −0.530479 | + | 2.32418i | −0.0305256 | + | 0.133742i | ||||
\(303\) | −11.5336 | − | 5.55431i | −0.662591 | − | 0.319087i | ||||
\(304\) | −1.63744 | − | 7.17409i | −0.0939136 | − | 0.411462i | ||||
\(305\) | −2.23889 | + | 1.07819i | −0.128199 | + | 0.0617372i | ||||
\(306\) | 12.7717 | + | 16.0152i | 0.730109 | + | 0.915527i | ||||
\(307\) | 28.7534 | − | 13.8469i | 1.64104 | − | 0.790284i | 0.641307 | − | 0.767284i | \(-0.278392\pi\) |
0.999735 | − | 0.0230001i | \(-0.00732182\pi\) | |||||||
\(308\) | −5.65895 | − | 6.37321i | −0.322448 | − | 0.363148i | ||||
\(309\) | −37.7222 | − | 18.1660i | −2.14594 | − | 1.03343i | ||||
\(310\) | 0.0147746 | + | 0.0647320i | 0.000839144 | + | 0.00367653i | ||||
\(311\) | 7.56399 | + | 9.48494i | 0.428914 | + | 0.537842i | 0.948584 | − | 0.316526i | \(-0.102516\pi\) |
−0.519670 | + | 0.854367i | \(0.673945\pi\) | |||||||
\(312\) | −9.70808 | −0.549612 | ||||||||
\(313\) | −18.2979 | −1.03426 | −0.517130 | − | 0.855907i | \(-0.672999\pi\) | ||||
−0.517130 | + | 0.855907i | \(0.672999\pi\) | |||||||
\(314\) | 4.81553 | + | 6.03848i | 0.271756 | + | 0.340771i | ||||
\(315\) | −1.02398 | − | 3.59748i | −0.0576950 | − | 0.202695i | ||||
\(316\) | 3.76931 | − | 4.72656i | 0.212040 | − | 0.265890i | ||||
\(317\) | −21.6254 | + | 27.1174i | −1.21461 | + | 1.52307i | −0.430309 | + | 0.902682i | \(0.641595\pi\) |
−0.784297 | + | 0.620386i | \(0.786976\pi\) | |||||||
\(318\) | −2.36125 | − | 1.13712i | −0.132412 | − | 0.0637663i | ||||
\(319\) | 26.7945 | + | 12.9036i | 1.50021 | + | 0.722461i | ||||
\(320\) | −0.190162 | + | 0.238455i | −0.0106304 | + | 0.0133301i | ||||
\(321\) | 30.1445 | − | 37.8000i | 1.68250 | − | 2.10979i | ||||
\(322\) | −1.08879 | − | 1.22622i | −0.0606758 | − | 0.0683343i | ||||
\(323\) | 20.2755 | + | 25.4246i | 1.12816 | + | 1.41466i | ||||
\(324\) | −1.42028 | −0.0789042 | ||||||||
\(325\) | 17.2400 | 0.956301 | ||||||||
\(326\) | −8.39528 | − | 10.5274i | −0.464972 | − | 0.583056i | ||||
\(327\) | 11.5581 | + | 50.6393i | 0.639164 | + | 2.80036i | ||||
\(328\) | −7.08120 | − | 3.41013i | −0.390994 | − | 0.188293i | ||||
\(329\) | −3.34730 | + | 19.3268i | −0.184543 | + | 1.06552i | ||||
\(330\) | 2.44601 | − | 1.17794i | 0.134649 | − | 0.0648433i | ||||
\(331\) | 11.1132 | + | 13.9356i | 0.610839 | + | 0.765968i | 0.987023 | − | 0.160577i | \(-0.0513354\pi\) |
−0.376184 | + | 0.926545i | \(0.622764\pi\) | |||||||
\(332\) | 3.28884 | − | 1.58382i | 0.180499 | − | 0.0869236i | ||||
\(333\) | −5.79291 | − | 25.3804i | −0.317450 | − | 1.39084i | ||||
\(334\) | −8.68346 | − | 4.18173i | −0.475138 | − | 0.228814i | ||||
\(335\) | −0.721151 | + | 3.15957i | −0.0394007 | + | 0.172626i | ||||
\(336\) | −4.24953 | + | 5.94880i | −0.231831 | + | 0.324534i | ||||
\(337\) | −2.81150 | − | 12.3180i | −0.153152 | − | 0.671002i | −0.991958 | − | 0.126571i | \(-0.959603\pi\) |
0.838806 | − | 0.544431i | \(-0.183254\pi\) | |||||||
\(338\) | 0.146048 | − | 0.639879i | 0.00794398 | − | 0.0348048i | ||||
\(339\) | −24.1824 | + | 30.3238i | −1.31341 | + | 1.64696i | ||||
\(340\) | 0.299924 | − | 1.31405i | 0.0162657 | − | 0.0712646i | ||||
\(341\) | −0.631838 | + | 0.304277i | −0.0342159 | + | 0.0164775i | ||||
\(342\) | 34.1088 | 1.84439 | ||||||||
\(343\) | 17.7465 | + | 5.29734i | 0.958221 | + | 0.286030i | ||||
\(344\) | 4.73148 | 0.255104 | ||||||||
\(345\) | 0.470616 | − | 0.226637i | 0.0253371 | − | 0.0122017i | ||||
\(346\) | −1.16487 | + | 5.10363i | −0.0626238 | + | 0.274373i | ||||
\(347\) | 2.46208 | − | 3.08735i | 0.132171 | − | 0.165738i | −0.711342 | − | 0.702846i | \(-0.751912\pi\) |
0.843513 | + | 0.537109i | \(0.180484\pi\) | |||||||
\(348\) | 5.67643 | − | 24.8701i | 0.304288 | − | 1.33317i | ||||
\(349\) | −5.85114 | − | 25.6355i | −0.313205 | − | 1.37224i | −0.849224 | − | 0.528033i | \(-0.822930\pi\) |
0.536019 | − | 0.844206i | \(-0.319927\pi\) | |||||||
\(350\) | 7.54646 | − | 10.5641i | 0.403375 | − | 0.564674i | ||||
\(351\) | 3.53253 | − | 15.4770i | 0.188552 | − | 0.826102i | ||||
\(352\) | −2.90237 | − | 1.39771i | −0.154697 | − | 0.0744982i | ||||
\(353\) | 2.14850 | + | 9.41320i | 0.114353 | + | 0.501014i | 0.999371 | + | 0.0354572i | \(0.0112888\pi\) |
−0.885018 | + | 0.465557i | \(0.845854\pi\) | |||||||
\(354\) | −14.2195 | + | 6.84773i | −0.755756 | + | 0.363953i | ||||
\(355\) | −1.22950 | − | 1.54174i | −0.0652548 | − | 0.0818270i | ||||
\(356\) | 12.1155 | − | 5.83449i | 0.642118 | − | 0.309228i | ||||
\(357\) | 5.51345 | − | 31.8338i | 0.291803 | − | 1.68483i | ||||
\(358\) | −3.20687 | − | 1.54435i | −0.169488 | − | 0.0816212i | ||||
\(359\) | −7.17411 | − | 31.4318i | −0.378635 | − | 1.65891i | −0.701656 | − | 0.712516i | \(-0.747556\pi\) |
0.323021 | − | 0.946392i | \(-0.395302\pi\) | |||||||
\(360\) | −0.881446 | − | 1.10530i | −0.0464563 | − | 0.0582543i | ||||
\(361\) | 35.1488 | 1.84994 | ||||||||
\(362\) | −0.104885 | −0.00551264 | ||||||||
\(363\) | −1.07269 | − | 1.34512i | −0.0563019 | − | 0.0706003i | ||||
\(364\) | 6.17183 | + | 6.95084i | 0.323492 | + | 0.364323i | ||||
\(365\) | −1.68745 | + | 2.11599i | −0.0883249 | + | 0.110756i | ||||
\(366\) | −14.0369 | + | 17.6017i | −0.733719 | + | 0.920055i | ||||
\(367\) | 2.45567 | + | 1.18259i | 0.128185 | + | 0.0617307i | 0.496877 | − | 0.867821i | \(-0.334480\pi\) |
−0.368692 | + | 0.929552i | \(0.620194\pi\) | |||||||
\(368\) | −0.558421 | − | 0.268921i | −0.0291097 | − | 0.0140185i | ||||
\(369\) | 22.7143 | − | 28.4828i | 1.18246 | − | 1.48275i | ||||
\(370\) | −1.06801 | + | 1.33925i | −0.0555235 | + | 0.0696242i | ||||
\(371\) | 0.686985 | + | 2.41353i | 0.0356665 | + | 0.125304i | ||||
\(372\) | 0.375053 | + | 0.470302i | 0.0194456 | + | 0.0243840i | ||||
\(373\) | −31.4443 | −1.62812 | −0.814062 | − | 0.580778i | \(-0.802748\pi\) | ||||
−0.814062 | + | 0.580778i | \(0.802748\pi\) | |||||||
\(374\) | 14.2361 | 0.736130 | ||||||||
\(375\) | 5.20566 | + | 6.52769i | 0.268819 | + | 0.337089i | ||||
\(376\) | 1.64968 | + | 7.22772i | 0.0850757 | + | 0.372741i | ||||
\(377\) | −29.2230 | − | 14.0731i | −1.50506 | − | 0.724799i | ||||
\(378\) | −7.93752 | − | 8.93938i | −0.408262 | − | 0.459792i | ||||
\(379\) | 12.8850 | − | 6.20509i | 0.661858 | − | 0.318734i | −0.0726270 | − | 0.997359i | \(-0.523138\pi\) |
0.734485 | + | 0.678625i | \(0.237424\pi\) | |||||||
\(380\) | −1.39932 | − | 1.75470i | −0.0717837 | − | 0.0900140i | ||||
\(381\) | 22.3471 | − | 10.7618i | 1.14488 | − | 0.551343i | ||||
\(382\) | 3.08828 | + | 13.5307i | 0.158010 | + | 0.692288i | ||||
\(383\) | 0.0200671 | + | 0.00966379i | 0.00102538 | + | 0.000493797i | 0.434396 | − | 0.900722i | \(-0.356962\pi\) |
−0.433371 | + | 0.901216i | \(0.642676\pi\) | |||||||
\(384\) | −0.614868 | + | 2.69391i | −0.0313774 | + | 0.137473i | ||||
\(385\) | −2.39842 | − | 1.00244i | −0.122235 | − | 0.0510892i | ||||
\(386\) | 0.499383 | + | 2.18794i | 0.0254179 | + | 0.111363i | ||||
\(387\) | −4.88022 | + | 21.3817i | −0.248076 | + | 1.08689i | ||||
\(388\) | −0.817835 | + | 1.02553i | −0.0415193 | + | 0.0520636i | ||||
\(389\) | 1.56314 | − | 6.84858i | 0.0792545 | − | 0.347237i | −0.919717 | − | 0.392582i | \(-0.871582\pi\) |
0.998971 | + | 0.0453458i | \(0.0144390\pi\) | |||||||
\(390\) | −2.66770 | + | 1.28470i | −0.135084 | + | 0.0650532i | ||||
\(391\) | 2.73904 | 0.138519 | ||||||||
\(392\) | 6.96085 | − | 0.739303i | 0.351576 | − | 0.0373404i | ||||
\(393\) | 27.9128 | 1.40802 | ||||||||
\(394\) | 4.05739 | − | 1.95394i | 0.204408 | − | 0.0984379i | ||||
\(395\) | 0.410296 | − | 1.79762i | 0.0206442 | − | 0.0904482i | ||||
\(396\) | 9.30990 | − | 11.6742i | 0.467840 | − | 0.586653i | ||||
\(397\) | −0.436343 | + | 1.91174i | −0.0218994 | + | 0.0959477i | −0.984697 | − | 0.174278i | \(-0.944241\pi\) |
0.962797 | + | 0.270225i | \(0.0870982\pi\) | |||||||
\(398\) | 1.68471 | + | 7.38118i | 0.0844467 | + | 0.369985i | ||||
\(399\) | −35.7189 | − | 40.2273i | −1.78818 | − | 2.01388i | ||||
\(400\) | 1.09191 | − | 4.78395i | 0.0545953 | − | 0.239197i | ||||
\(401\) | 12.5032 | + | 6.02124i | 0.624382 | + | 0.300687i | 0.719195 | − | 0.694809i | \(-0.244511\pi\) |
−0.0948127 | + | 0.995495i | \(0.530225\pi\) | |||||||
\(402\) | 6.53347 | + | 28.6250i | 0.325860 | + | 1.42768i | ||||
\(403\) | 0.689103 | − | 0.331854i | 0.0343267 | − | 0.0165308i | ||||
\(404\) | 2.88852 | + | 3.62209i | 0.143709 | + | 0.180205i | ||||
\(405\) | −0.390280 | + | 0.187949i | −0.0193932 | + | 0.00933926i | ||||
\(406\) | −21.4153 | + | 11.7467i | −1.06282 | + | 0.582979i | ||||
\(407\) | −16.3007 | − | 7.85002i | −0.807998 | − | 0.389111i | ||||
\(408\) | −2.71725 | − | 11.9050i | −0.134524 | − | 0.589387i | ||||
\(409\) | −9.10420 | − | 11.4163i | −0.450174 | − | 0.564500i | 0.504019 | − | 0.863693i | \(-0.331854\pi\) |
−0.954193 | + | 0.299192i | \(0.903283\pi\) | |||||||
\(410\) | −2.39713 | −0.118386 | ||||||||
\(411\) | −8.10065 | −0.399576 | ||||||||
\(412\) | 9.44724 | + | 11.8465i | 0.465432 | + | 0.583633i | ||||
\(413\) | 13.9428 | + | 5.82753i | 0.686079 | + | 0.286754i | ||||
\(414\) | 1.79124 | − | 2.24614i | 0.0880345 | − | 0.110392i | ||||
\(415\) | 0.694155 | − | 0.870443i | 0.0340747 | − | 0.0427284i | ||||
\(416\) | 3.16542 | + | 1.52439i | 0.155198 | + | 0.0747393i | ||||
\(417\) | −16.0900 | − | 7.74854i | −0.787931 | − | 0.379448i | ||||
\(418\) | 14.7798 | − | 18.5332i | 0.722902 | − | 0.906490i | ||||
\(419\) | 0.213465 | − | 0.267676i | 0.0104284 | − | 0.0130768i | −0.776590 | − | 0.630006i | \(-0.783052\pi\) |
0.787018 | + | 0.616930i | \(0.211624\pi\) | |||||||
\(420\) | −0.380514 | + | 2.19703i | −0.0185672 | + | 0.107204i | ||||
\(421\) | −10.5954 | − | 13.2863i | −0.516390 | − | 0.647533i | 0.453448 | − | 0.891283i | \(-0.350194\pi\) |
−0.969838 | + | 0.243750i | \(0.921622\pi\) | |||||||
\(422\) | 16.7845 | 0.817055 | ||||||||
\(423\) | −34.3638 | −1.67082 | ||||||||
\(424\) | 0.591357 | + | 0.741538i | 0.0287188 | + | 0.0360123i | ||||
\(425\) | 4.82538 | + | 21.1414i | 0.234065 | + | 1.02551i | ||||
\(426\) | −16.0963 | − | 7.75155i | −0.779866 | − | 0.375564i | ||||
\(427\) | 21.5264 | − | 1.13994i | 1.04173 | − | 0.0551655i | ||||
\(428\) | −15.7644 | + | 7.59173i | −0.762001 | + | 0.366960i | ||||
\(429\) | −19.4987 | − | 24.4506i | −0.941407 | − | 1.18049i | ||||
\(430\) | 1.30017 | − | 0.626129i | 0.0626998 | − | 0.0301946i | ||||
\(431\) | 6.58822 | + | 28.8649i | 0.317343 | + | 1.39037i | 0.842192 | + | 0.539177i | \(0.181265\pi\) |
−0.524849 | + | 0.851195i | \(0.675878\pi\) | |||||||
\(432\) | −4.07101 | − | 1.96050i | −0.195867 | − | 0.0943244i | ||||
\(433\) | 1.04790 | − | 4.59115i | 0.0503589 | − | 0.220637i | −0.943487 | − | 0.331410i | \(-0.892476\pi\) |
0.993846 | + | 0.110773i | \(0.0353328\pi\) | |||||||
\(434\) | 0.0982919 | − | 0.567523i | 0.00471816 | − | 0.0272420i | ||||
\(435\) | −1.73129 | − | 7.58526i | −0.0830089 | − | 0.363686i | ||||
\(436\) | 4.18287 | − | 18.3264i | 0.200323 | − | 0.877674i | ||||
\(437\) | 2.84365 | − | 3.56582i | 0.136030 | − | 0.170576i | ||||
\(438\) | −5.45618 | + | 23.9051i | −0.260706 | + | 1.14223i | ||||
\(439\) | −10.4374 | + | 5.02639i | −0.498150 | + | 0.239897i | −0.666049 | − | 0.745908i | \(-0.732016\pi\) |
0.167899 | + | 0.985804i | \(0.446302\pi\) | |||||||
\(440\) | −0.982511 | −0.0468394 | ||||||||
\(441\) | −3.83875 | + | 32.2188i | −0.182798 | + | 1.53423i | ||||
\(442\) | −15.5263 | −0.738512 | ||||||||
\(443\) | 9.49595 | − | 4.57301i | 0.451166 | − | 0.217270i | −0.194481 | − | 0.980906i | \(-0.562302\pi\) |
0.645647 | + | 0.763636i | \(0.276588\pi\) | |||||||
\(444\) | −3.45332 | + | 15.1300i | −0.163887 | + | 0.718036i | ||||
\(445\) | 2.55713 | − | 3.20654i | 0.121220 | − | 0.152005i | ||||
\(446\) | −1.66326 | + | 7.28723i | −0.0787578 | + | 0.345060i | ||||
\(447\) | 7.77674 | + | 34.0721i | 0.367827 | + | 1.61156i | ||||
\(448\) | 2.31970 | − | 1.27240i | 0.109595 | − | 0.0601151i | ||||
\(449\) | −3.99150 | + | 17.4879i | −0.188370 | + | 0.825305i | 0.789105 | + | 0.614258i | \(0.210544\pi\) |
−0.977476 | + | 0.211047i | \(0.932313\pi\) | |||||||
\(450\) | 20.4925 | + | 9.86869i | 0.966028 | + | 0.465215i | ||||
\(451\) | −5.63393 | − | 24.6839i | −0.265291 | − | 1.16232i | ||||
\(452\) | 12.6465 | − | 6.09021i | 0.594839 | − | 0.286459i | ||||
\(453\) | 4.10712 | + | 5.15017i | 0.192970 | + | 0.241976i | ||||
\(454\) | 6.00965 | − | 2.89410i | 0.282047 | − | 0.135827i | ||||
\(455\) | 2.61579 | + | 1.09330i | 0.122630 | + | 0.0512546i | ||||
\(456\) | −18.3196 | − | 8.82225i | −0.857893 | − | 0.413140i | ||||
\(457\) | 6.51930 | + | 28.5629i | 0.304960 | + | 1.33612i | 0.862538 | + | 0.505992i | \(0.168874\pi\) |
−0.557578 | + | 0.830125i | \(0.688269\pi\) | |||||||
\(458\) | −7.71123 | − | 9.66957i | −0.360322 | − | 0.451830i | ||||
\(459\) | 19.9682 | 0.932036 | ||||||||
\(460\) | −0.189037 | −0.00881387 | ||||||||
\(461\) | −22.0128 | − | 27.6032i | −1.02524 | − | 1.28561i | −0.957662 | − | 0.287896i | \(-0.907044\pi\) |
−0.0675785 | − | 0.997714i | \(-0.521527\pi\) | |||||||
\(462\) | −23.5177 | + | 1.24539i | −1.09414 | + | 0.0579409i | ||||
\(463\) | −18.0774 | + | 22.6683i | −0.840127 | + | 1.05349i | 0.157693 | + | 0.987488i | \(0.449594\pi\) |
−0.997820 | + | 0.0659976i | \(0.978977\pi\) | |||||||
\(464\) | −5.75602 | + | 7.21782i | −0.267216 | + | 0.335079i | ||||
\(465\) | 0.165298 | + | 0.0796033i | 0.00766551 | + | 0.00369151i | ||||
\(466\) | 11.9131 | + | 5.73703i | 0.551862 | + | 0.265763i | ||||
\(467\) | 10.0102 | − | 12.5524i | 0.463216 | − | 0.580854i | −0.494280 | − | 0.869303i | \(-0.664568\pi\) |
0.957495 | + | 0.288449i | \(0.0931395\pi\) | |||||||
\(468\) | −10.1537 | + | 12.7323i | −0.469354 | + | 0.588551i | ||||
\(469\) | 16.3415 | − | 22.8760i | 0.754578 | − | 1.05631i | ||||
\(470\) | 1.40978 | + | 1.76781i | 0.0650284 | + | 0.0815431i | ||||
\(471\) | 21.3415 | 0.983367 | ||||||||
\(472\) | 5.71166 | 0.262900 | ||||||||
\(473\) | 9.50319 | + | 11.9166i | 0.436957 | + | 0.547927i | ||||
\(474\) | −3.71718 | − | 16.2861i | −0.170736 | − | 0.748043i | ||||
\(475\) | 32.5326 | + | 15.6669i | 1.49270 | + | 0.718845i | ||||
\(476\) | −6.79635 | + | 9.51403i | −0.311510 | + | 0.436075i | ||||
\(477\) | −3.96097 | + | 1.90750i | −0.181361 | + | 0.0873387i | ||||
\(478\) | 10.7815 | + | 13.5196i | 0.493136 | + | 0.618373i | ||||
\(479\) | 9.16168 | − | 4.41203i | 0.418608 | − | 0.201591i | −0.212709 | − | 0.977115i | \(-0.568229\pi\) |
0.631317 | + | 0.775525i | \(0.282515\pi\) | |||||||
\(480\) | 0.187532 | + | 0.821633i | 0.00855964 | + | 0.0375022i | ||||
\(481\) | 17.7781 | + | 8.56149i | 0.810613 | + | 0.390370i | ||||
\(482\) | 0.664616 | − | 2.91188i | 0.0302725 | − | 0.132632i | ||||
\(483\) | −4.52485 | + | 0.239615i | −0.205888 | + | 0.0109029i | ||||
\(484\) | 0.138550 | + | 0.607027i | 0.00629772 | + | 0.0275921i | ||||
\(485\) | −0.0890228 | + | 0.390035i | −0.00404232 | + | 0.0177106i | ||||
\(486\) | −10.8986 | + | 13.6664i | −0.494369 | + | 0.619919i | ||||
\(487\) | −1.86987 | + | 8.19243i | −0.0847319 | + | 0.371235i | −0.999461 | − | 0.0328334i | \(-0.989547\pi\) |
0.914729 | + | 0.404068i | \(0.132404\pi\) | |||||||
\(488\) | 7.34074 | − | 3.53511i | 0.332300 | − | 0.160027i | ||||
\(489\) | −37.2064 | −1.68253 | ||||||||
\(490\) | 1.81495 | − | 1.12430i | 0.0819911 | − | 0.0507908i | ||||
\(491\) | 8.11285 | 0.366128 | 0.183064 | − | 0.983101i | \(-0.441398\pi\) | ||||
0.183064 | + | 0.983101i | \(0.441398\pi\) | |||||||
\(492\) | −19.5667 | + | 9.42284i | −0.882136 | + | 0.424814i | ||||
\(493\) | 9.07842 | − | 39.7752i | 0.408872 | − | 1.79138i | ||||
\(494\) | −16.1193 | + | 20.2130i | −0.725241 | + | 0.909424i | ||||
\(495\) | 1.01340 | − | 4.43999i | 0.0455489 | − | 0.199563i | ||||
\(496\) | −0.0484421 | − | 0.212239i | −0.00217512 | − | 0.00952980i | ||||
\(497\) | 4.68307 | + | 16.4527i | 0.210064 | + | 0.738002i | ||||
\(498\) | 2.24448 | − | 9.83371i | 0.100578 | − | 0.440659i | ||||
\(499\) | −15.3191 | − | 7.37727i | −0.685775 | − | 0.330252i | 0.0583463 | − | 0.998296i | \(-0.481417\pi\) |
−0.744121 | + | 0.668045i | \(0.767132\pi\) | |||||||
\(500\) | −0.672366 | − | 2.94583i | −0.0300691 | − | 0.131742i | ||||
\(501\) | −23.9941 | + | 11.5549i | −1.07198 | + | 0.516237i | ||||
\(502\) | 0.471168 | + | 0.590826i | 0.0210293 | + | 0.0263699i | ||||
\(503\) | −24.7348 | + | 11.9117i | −1.10287 | + | 0.531115i | −0.894560 | − | 0.446947i | \(-0.852511\pi\) |
−0.208312 | + | 0.978062i | \(0.566797\pi\) | |||||||
\(504\) | 3.35737 | + | 11.7952i | 0.149549 | + | 0.525399i | ||||
\(505\) | 1.27306 | + | 0.613074i | 0.0566505 | + | 0.0272814i | ||||
\(506\) | −0.444290 | − | 1.94656i | −0.0197511 | − | 0.0865351i | ||||
\(507\) | −1.13075 | − | 1.41791i | −0.0502183 | − | 0.0629718i | ||||
\(508\) | −8.97635 | −0.398261 | ||||||||
\(509\) | 2.21199 | 0.0980448 | 0.0490224 | − | 0.998798i | \(-0.484389\pi\) | ||||
0.0490224 | + | 0.998798i | \(0.484389\pi\) | |||||||
\(510\) | −2.32210 | − | 2.91182i | −0.102824 | − | 0.128938i | ||||
\(511\) | 20.5844 | − | 11.2909i | 0.910600 | − | 0.499481i | ||||
\(512\) | 0.623490 | − | 0.781831i | 0.0275546 | − | 0.0345524i | ||||
\(513\) | 20.7308 | − | 25.9956i | 0.915288 | − | 1.14773i | ||||
\(514\) | −12.7285 | − | 6.12971i | −0.561429 | − | 0.270370i | ||||
\(515\) | 4.16370 | + | 2.00513i | 0.183474 | + | 0.0883567i | ||||
\(516\) | 8.15150 | − | 10.2217i | 0.358850 | − | 0.449983i | ||||
\(517\) | −14.8902 | + | 18.6718i | −0.654872 | + | 0.821183i | ||||
\(518\) | 13.0282 | − | 7.14623i | 0.572428 | − | 0.313987i | ||||
\(519\) | 9.01876 | + | 11.3092i | 0.395880 | + | 0.496417i | ||||
\(520\) | 1.07156 | 0.0469910 | ||||||||
\(521\) | −41.7446 | −1.82887 | −0.914433 | − | 0.404738i | \(-0.867363\pi\) | ||||
−0.914433 | + | 0.404738i | \(0.867363\pi\) | |||||||
\(522\) | −26.6805 | − | 33.4563i | −1.16777 | − | 1.46434i | ||||
\(523\) | −4.53465 | − | 19.8676i | −0.198287 | − | 0.868750i | −0.971956 | − | 0.235161i | \(-0.924438\pi\) |
0.773670 | − | 0.633589i | \(-0.218419\pi\) | |||||||
\(524\) | −9.10128 | − | 4.38295i | −0.397591 | − | 0.191470i | ||||
\(525\) | −9.82093 | − | 34.5031i | −0.428620 | − | 1.50584i | ||||
\(526\) | 9.78792 | − | 4.71361i | 0.426773 | − | 0.205523i | ||||
\(527\) | 0.599830 | + | 0.752163i | 0.0261290 | + | 0.0327647i | ||||
\(528\) | −8.01982 | + | 3.86214i | −0.349018 | + | 0.168078i | ||||
\(529\) | 5.03250 | + | 22.0488i | 0.218804 | + | 0.958644i | ||||
\(530\) | 0.260630 | + | 0.125513i | 0.0113210 | + | 0.00545192i | ||||
\(531\) | −5.89122 | + | 25.8111i | −0.255657 | + | 1.12011i | ||||
\(532\) | 5.32993 | + | 18.7252i | 0.231082 | + | 0.811841i | ||||
\(533\) | 6.14455 | + | 26.9210i | 0.266150 | + | 1.16608i | ||||
\(534\) | 8.26822 | − | 36.2254i | 0.357801 | − | 1.56763i | ||||
\(535\) | −3.32729 | + | 4.17229i | −0.143851 | + | 0.180384i | ||||
\(536\) | 2.36446 | − | 10.3594i | 0.102129 | − | 0.447457i | ||||
\(537\) | −8.86120 | + | 4.26733i | −0.382389 | + | 0.184149i | ||||
\(538\) | −4.79462 | −0.206711 | ||||||||
\(539\) | 15.8429 | + | 16.0466i | 0.682402 | + | 0.691176i | ||||
\(540\) | −1.37812 | −0.0593048 | ||||||||
\(541\) | 11.5738 | − | 5.57366i | 0.497598 | − | 0.239631i | −0.168213 | − | 0.985751i | \(-0.553800\pi\) |
0.665811 | + | 0.746120i | \(0.268086\pi\) | |||||||
\(542\) | 4.59808 | − | 20.1455i | 0.197505 | − | 0.865324i | ||||
\(543\) | −0.180698 | + | 0.226589i | −0.00775451 | + | 0.00972385i | ||||
\(544\) | −0.983371 | + | 4.30843i | −0.0421617 | + | 0.184722i | ||||
\(545\) | −1.27576 | − | 5.58947i | −0.0546475 | − | 0.239426i | ||||
\(546\) | 25.6492 | − | 1.35827i | 1.09769 | − | 0.0581284i | ||||
\(547\) | −1.58545 | + | 6.94630i | −0.0677889 | + | 0.297002i | −0.997446 | − | 0.0714232i | \(-0.977246\pi\) |
0.929657 | + | 0.368426i | \(0.120103\pi\) | |||||||
\(548\) | 2.64130 | + | 1.27198i | 0.112831 | + | 0.0543365i | ||||
\(549\) | 8.40374 | + | 36.8192i | 0.358663 | + | 1.57141i | ||||
\(550\) | 14.2419 | − | 6.85853i | 0.607276 | − | 0.292449i | ||||
\(551\) | −42.3562 | − | 53.1130i | −1.80443 | − | 2.26269i | ||||
\(552\) | −1.54302 | + | 0.743081i | −0.0656755 | + | 0.0316276i | ||||
\(553\) | −9.29739 | + | 13.0152i | −0.395365 | + | 0.553461i | ||||
\(554\) | 15.8086 | + | 7.61302i | 0.671643 | + | 0.323446i | ||||
\(555\) | 1.05325 | + | 4.61458i | 0.0447078 | + | 0.195878i | ||||
\(556\) | 4.02963 | + | 5.05299i | 0.170894 | + | 0.214295i | ||||
\(557\) | −16.4457 | −0.696828 | −0.348414 | − | 0.937341i | \(-0.613280\pi\) | ||||
−0.348414 | + | 0.937341i | \(0.613280\pi\) | |||||||
\(558\) | 1.00908 | 0.0427176 | ||||||||
\(559\) | −10.3645 | − | 12.9967i | −0.438371 | − | 0.549700i | ||||
\(560\) | 0.469054 | − | 0.656617i | 0.0198212 | − | 0.0277471i | ||||
\(561\) | 24.5262 | − | 30.7549i | 1.03550 | − | 1.29847i | ||||
\(562\) | 1.84427 | − | 2.31264i | 0.0777959 | − | 0.0975530i | ||||
\(563\) | 40.7662 | + | 19.6320i | 1.71809 | + | 0.827389i | 0.989858 | + | 0.142060i | \(0.0453727\pi\) |
0.728234 | + | 0.685329i | \(0.240342\pi\) | |||||||
\(564\) | 18.4565 | + | 8.88819i | 0.777160 | + | 0.374260i | ||||
\(565\) | 2.66921 | − | 3.34708i | 0.112294 | − | 0.140813i | ||||
\(566\) | 8.77728 | − | 11.0064i | 0.368937 | − | 0.462632i | ||||
\(567\) | 3.75244 | − | 0.198712i | 0.157588 | − | 0.00834513i | ||||
\(568\) | 4.03119 | + | 5.05495i | 0.169145 | + | 0.212101i | ||||
\(569\) | −37.0712 | −1.55411 | −0.777053 | − | 0.629435i | \(-0.783286\pi\) | ||||
−0.777053 | + | 0.629435i | \(0.783286\pi\) | |||||||
\(570\) | −6.20154 | −0.259754 | ||||||||
\(571\) | −12.9575 | − | 16.2482i | −0.542254 | − | 0.679965i | 0.432913 | − | 0.901436i | \(-0.357486\pi\) |
−0.975167 | + | 0.221471i | \(0.928914\pi\) | |||||||
\(572\) | 2.51847 | + | 11.0341i | 0.105302 | + | 0.461360i | ||||
\(573\) | 34.5515 | + | 16.6391i | 1.44341 | + | 0.695110i | ||||
\(574\) | 19.1860 | + | 8.01898i | 0.800808 | + | 0.334706i | ||||
\(575\) | 2.74016 | − | 1.31959i | 0.114272 | − | 0.0550307i | ||||
\(576\) | 2.89002 | + | 3.62398i | 0.120418 | + | 0.150999i | ||||
\(577\) | −25.7391 | + | 12.3953i | −1.07153 | + | 0.516023i | −0.884601 | − | 0.466350i | \(-0.845569\pi\) |
−0.186933 | + | 0.982373i | \(0.559855\pi\) | |||||||
\(578\) | −0.562889 | − | 2.46618i | −0.0234131 | − | 0.102579i | ||||
\(579\) | 5.58707 | + | 2.69059i | 0.232191 | + | 0.111817i | ||||
\(580\) | −0.626553 | + | 2.74511i | −0.0260162 | + | 0.113984i | ||||
\(581\) | −8.46769 | + | 4.64468i | −0.351299 | + | 0.192694i | ||||
\(582\) | 0.806527 | + | 3.53362i | 0.0334316 | + | 0.146473i | ||||
\(583\) | −0.679884 | + | 2.97876i | −0.0281579 | + | 0.123368i | ||||
\(584\) | 5.53268 | − | 6.93776i | 0.228944 | − | 0.287087i | ||||
\(585\) | −1.10525 | + | 4.84240i | −0.0456963 | + | 0.200209i | ||||
\(586\) | −11.4849 | + | 5.53084i | −0.474437 | + | 0.228477i | ||||
\(587\) | −12.5484 | −0.517929 | −0.258964 | − | 0.965887i | \(-0.583381\pi\) | ||||
−0.258964 | + | 0.965887i | \(0.583381\pi\) | |||||||
\(588\) | 10.3952 | − | 16.3116i | 0.428689 | − | 0.672678i | ||||
\(589\) | 1.60194 | 0.0660069 | ||||||||
\(590\) | 1.56952 | − | 0.755839i | 0.0646160 | − | 0.0311174i | ||||
\(591\) | 2.76898 | − | 12.1317i | 0.113900 | − | 0.499031i | ||||
\(592\) | 3.50174 | − | 4.39104i | 0.143920 | − | 0.180471i | ||||
\(593\) | 6.20017 | − | 27.1647i | 0.254610 | − | 1.11552i | −0.672312 | − | 0.740268i | \(-0.734699\pi\) |
0.926922 | − | 0.375253i | \(-0.122444\pi\) | |||||||
\(594\) | −3.23897 | − | 14.1909i | −0.132897 | − | 0.582258i | ||||
\(595\) | −0.608564 | + | 3.51376i | −0.0249487 | + | 0.144050i | ||||
\(596\) | 2.81440 | − | 12.3307i | 0.115282 | − | 0.505085i | ||||
\(597\) | 18.8484 | + | 9.07691i | 0.771414 | + | 0.371493i | ||||
\(598\) | 0.484557 | + | 2.12298i | 0.0198150 | + | 0.0868152i | ||||
\(599\) | 1.20155 | − | 0.578637i | 0.0490941 | − | 0.0236424i | −0.409176 | − | 0.912456i | \(-0.634184\pi\) |
0.458270 | + | 0.888813i | \(0.348469\pi\) | |||||||
\(600\) | −8.45385 | − | 10.6008i | −0.345127 | − | 0.432776i | ||||
\(601\) | 12.0580 | − | 5.80683i | 0.491856 | − | 0.236865i | −0.171479 | − | 0.985188i | \(-0.554855\pi\) |
0.663335 | + | 0.748322i | \(0.269140\pi\) | |||||||
\(602\) | −12.5008 | + | 0.661985i | −0.509494 | + | 0.0269805i | ||||
\(603\) | 44.3755 | + | 21.3701i | 1.80711 | + | 0.870258i | ||||
\(604\) | −0.530479 | − | 2.32418i | −0.0215849 | − | 0.0945695i | ||||
\(605\) | 0.118402 | + | 0.148471i | 0.00481372 | + | 0.00603622i | ||||
\(606\) | 12.8014 | 0.520021 | ||||||||
\(607\) | 20.4722 | 0.830939 | 0.415470 | − | 0.909607i | \(-0.363617\pi\) | ||||
0.415470 | + | 0.909607i | \(0.363617\pi\) | |||||||
\(608\) | 4.58801 | + | 5.75318i | 0.186068 | + | 0.233322i | ||||
\(609\) | −11.5178 | + | 66.5021i | −0.466725 | + | 2.69480i | ||||
\(610\) | 1.54936 | − | 1.94284i | 0.0627319 | − | 0.0786633i | ||||
\(611\) | 16.2398 | − | 20.3640i | 0.656991 | − | 0.823841i | ||||
\(612\) | −18.4556 | − | 8.88776i | −0.746024 | − | 0.359266i | ||||
\(613\) | −17.9970 | − | 8.66689i | −0.726891 | − | 0.350052i | 0.0335693 | − | 0.999436i | \(-0.489313\pi\) |
−0.760461 | + | 0.649384i | \(0.775027\pi\) | |||||||
\(614\) | −19.8980 | + | 24.9513i | −0.803016 | + | 1.00695i | ||||
\(615\) | −4.12983 | + | 5.17864i | −0.166531 | + | 0.208823i | ||||
\(616\) | 7.86377 | + | 3.28674i | 0.316840 | + | 0.132427i | ||||
\(617\) | 2.17984 | + | 2.73343i | 0.0877570 | + | 0.110044i | 0.823771 | − | 0.566922i | \(-0.191866\pi\) |
−0.736014 | + | 0.676966i | \(0.763294\pi\) | |||||||
\(618\) | 41.8684 | 1.68420 | ||||||||
\(619\) | 4.49268 | 0.180576 | 0.0902880 | − | 0.995916i | \(-0.471221\pi\) | ||||
0.0902880 | + | 0.995916i | \(0.471221\pi\) | |||||||
\(620\) | −0.0413976 | − | 0.0519110i | −0.00166257 | − | 0.00208480i | ||||
\(621\) | −0.623182 | − | 2.73034i | −0.0250074 | − | 0.109565i | ||||
\(622\) | −10.9303 | − | 5.26375i | −0.438264 | − | 0.211057i | ||||
\(623\) | −31.1933 | + | 17.1101i | −1.24973 | + | 0.685502i | ||||
\(624\) | 8.74668 | − | 4.21218i | 0.350147 | − | 0.168622i | ||||
\(625\) | 14.7227 | + | 18.4616i | 0.588906 | + | 0.738465i | ||||
\(626\) | 16.4858 | − | 7.93917i | 0.658907 | − | 0.317313i | ||||
\(627\) | −14.5754 | − | 63.8590i | −0.582085 | − | 2.55028i | ||||
\(628\) | −6.95864 | − | 3.35110i | −0.277680 | − | 0.133724i | ||||
\(629\) | −5.52296 | + | 24.1976i | −0.220215 | + | 0.964823i | ||||
\(630\) | 2.48347 | + | 2.79693i | 0.0989436 | + | 0.111432i | ||||
\(631\) | −4.77868 | − | 20.9367i | −0.190236 | − | 0.833479i | −0.976488 | − | 0.215572i | \(-0.930838\pi\) |
0.786252 | − | 0.617906i | \(-0.212019\pi\) | |||||||
\(632\) | −1.34525 | + | 5.89392i | −0.0535112 | + | 0.234448i | ||||
\(633\) | 28.9167 | − | 36.2604i | 1.14933 | − | 1.44122i | ||||
\(634\) | 7.71803 | − | 33.8149i | 0.306522 | − | 1.34296i | ||||
\(635\) | −2.46663 | + | 1.18786i | −0.0978851 | + | 0.0471390i | ||||
\(636\) | 2.62079 | 0.103921 | ||||||||
\(637\) | −17.2788 | − | 17.5009i | −0.684610 | − | 0.693413i | ||||
\(638\) | −29.7397 | −1.17741 | ||||||||
\(639\) | −27.0014 | + | 13.0032i | −1.06816 | + | 0.514397i | ||||
\(640\) | 0.0678680 | − | 0.297349i | 0.00268272 | − | 0.0117538i | ||||
\(641\) | 6.73432 | − | 8.44456i | 0.265989 | − | 0.333540i | −0.630843 | − | 0.775910i | \(-0.717291\pi\) |
0.896833 | + | 0.442370i | \(0.145862\pi\) | |||||||
\(642\) | −10.7584 | + | 47.1358i | −0.424602 | + | 1.86030i | ||||
\(643\) | −9.67107 | − | 42.3717i | −0.381390 | − | 1.67098i | −0.693132 | − | 0.720811i | \(-0.743770\pi\) |
0.311742 | − | 0.950167i | \(-0.399088\pi\) | |||||||
\(644\) | 1.51300 | + | 0.632374i | 0.0596206 | + | 0.0249190i | ||||
\(645\) | 0.887305 | − | 3.88754i | 0.0349376 | − | 0.153072i | ||||
\(646\) | −29.2989 | − | 14.1096i | −1.15275 | − | 0.555135i | ||||
\(647\) | −6.68978 | − | 29.3098i | −0.263002 | − | 1.15229i | −0.917976 | − | 0.396637i | \(-0.870177\pi\) |
0.654973 | − | 0.755652i | \(-0.272680\pi\) | |||||||
\(648\) | 1.27962 | − | 0.616235i | 0.0502684 | − | 0.0242080i | ||||
\(649\) | 11.4719 | + | 14.3853i | 0.450311 | + | 0.564672i | ||||
\(650\) | −15.5327 | + | 7.48014i | −0.609241 | + | 0.293395i | ||||
\(651\) | −1.05671 | − | 1.19009i | −0.0414157 | − | 0.0466432i | ||||
\(652\) | 12.1315 | + | 5.84224i | 0.475108 | + | 0.228800i | ||||
\(653\) | −3.21760 | − | 14.0972i | −0.125914 | − | 0.551667i | −0.998051 | − | 0.0624045i | \(-0.980123\pi\) |
0.872137 | − | 0.489263i | \(-0.162734\pi\) | |||||||
\(654\) | −32.3851 | − | 40.6096i | −1.26636 | − | 1.58796i | ||||
\(655\) | −3.08097 | −0.120383 | ||||||||
\(656\) | 7.85954 | 0.306863 | ||||||||
\(657\) | 25.6453 | + | 32.1582i | 1.00052 | + | 1.25461i | ||||
\(658\) | −5.36977 | − | 18.8652i | −0.209336 | − | 0.735442i | ||||
\(659\) | 5.04503 | − | 6.32627i | 0.196526 | − | 0.246436i | −0.673797 | − | 0.738916i | \(-0.735338\pi\) |
0.870324 | + | 0.492480i | \(0.163909\pi\) | |||||||
\(660\) | −1.69269 | + | 2.12257i | −0.0658880 | + | 0.0826209i | ||||
\(661\) | 17.5182 | + | 8.43630i | 0.681377 | + | 0.328134i | 0.742357 | − | 0.670005i | \(-0.233708\pi\) |
−0.0609792 | + | 0.998139i | \(0.519422\pi\) | |||||||
\(662\) | −16.0591 | − | 7.73366i | −0.624155 | − | 0.300577i | ||||
\(663\) | −26.7491 | + | 33.5423i | −1.03885 | + | 1.30268i | ||||
\(664\) | −2.27595 | + | 2.85395i | −0.0883240 | + | 0.110755i | ||||
\(665\) | 3.94258 | + | 4.44021i | 0.152887 | + | 0.172184i | ||||
\(666\) | 16.2314 | + | 20.3535i | 0.628953 | + | 0.788682i | ||||
\(667\) | −5.72196 | −0.221555 | ||||||||
\(668\) | 9.63792 | 0.372902 | ||||||||
\(669\) | 12.8775 | + | 16.1478i | 0.497872 | + | 0.624312i | ||||
\(670\) | −0.721151 | − | 3.15957i | −0.0278605 | − | 0.122065i | ||||
\(671\) | 23.6474 | + | 11.3880i | 0.912897 | + | 0.439628i | ||||
\(672\) | 1.24760 | − | 7.20348i | 0.0481274 | − | 0.277880i | ||||
\(673\) | 4.06067 | − | 1.95551i | 0.156527 | − | 0.0753795i | −0.353980 | − | 0.935253i | \(-0.615172\pi\) |
0.510507 | + | 0.859873i | \(0.329458\pi\) | |||||||
\(674\) | 7.87763 | + | 9.87824i | 0.303435 | + | 0.380496i | ||||
\(675\) | 19.9764 | − | 9.62011i | 0.768891 | − | 0.370278i | ||||
\(676\) | 0.146048 | + | 0.639879i | 0.00561724 | + | 0.0246107i | ||||
\(677\) | −30.0208 | − | 14.4572i | −1.15379 | − | 0.555637i | −0.243621 | − | 0.969870i | \(-0.578335\pi\) |
−0.910171 | + | 0.414233i | \(0.864050\pi\) | |||||||
\(678\) | 8.63060 | − | 37.8131i | 0.331456 | − | 1.45220i | ||||
\(679\) | 2.01728 | − | 2.82393i | 0.0774160 | − | 0.108373i | ||||
\(680\) | 0.299924 | + | 1.31405i | 0.0115016 | + | 0.0503917i | ||||
\(681\) | 4.10130 | − | 17.9690i | 0.157162 | − | 0.688573i | ||||
\(682\) | 0.437245 | − | 0.548288i | 0.0167430 | − | 0.0209950i | ||||
\(683\) | −1.31257 | + | 5.75075i | −0.0502241 | + | 0.220046i | −0.993812 | − | 0.111076i | \(-0.964570\pi\) |
0.943588 | + | 0.331123i | \(0.107427\pi\) | |||||||
\(684\) | −30.7310 | + | 14.7993i | −1.17503 | + | 0.565864i | ||||
\(685\) | 0.894134 | 0.0341631 | ||||||||
\(686\) | −18.2875 | + | 2.92717i | −0.698219 | + | 0.111760i | ||||
\(687\) | −34.1748 | −1.30385 | ||||||||
\(688\) | −4.26291 | + | 2.05291i | −0.162522 | + | 0.0782665i | ||||
\(689\) | 0.741503 | − | 3.24874i | 0.0282490 | − | 0.123767i | ||||
\(690\) | −0.325676 | + | 0.408385i | −0.0123983 | + | 0.0155470i | ||||
\(691\) | −7.50444 | + | 32.8791i | −0.285482 | + | 1.25078i | 0.605171 | + | 0.796096i | \(0.293105\pi\) |
−0.890653 | + | 0.454684i | \(0.849752\pi\) | |||||||
\(692\) | −1.16487 | − | 5.10363i | −0.0442817 | − | 0.194011i | ||||
\(693\) | −22.9639 | + | 32.1465i | −0.872325 | + | 1.22114i | ||||
\(694\) | −0.878706 | + | 3.84986i | −0.0333552 | + | 0.146139i | ||||
\(695\) | 1.77598 | + | 0.855269i | 0.0673669 | + | 0.0324422i | ||||
\(696\) | 5.67643 | + | 24.8701i | 0.215164 | + | 0.942697i | ||||
\(697\) | −31.2935 | + | 15.0701i | −1.18532 | + | 0.570822i | ||||
\(698\) | 16.3945 | + | 20.5581i | 0.620543 | + | 0.778136i | ||||
\(699\) | 32.9181 | − | 15.8525i | 1.24508 | − | 0.599597i | ||||
\(700\) | −2.21554 | + | 12.7922i | −0.0837396 | + | 0.483500i | ||||
\(701\) | 39.5760 | + | 19.0588i | 1.49476 | + | 0.719840i | 0.989689 | − | 0.143235i | \(-0.0457506\pi\) |
0.505075 | + | 0.863076i | \(0.331465\pi\) | |||||||
\(702\) | 3.53253 | + | 15.4770i | 0.133327 | + | 0.584142i | ||||
\(703\) | 25.7678 | + | 32.3118i | 0.971852 | + | 1.21866i | ||||
\(704\) | 3.22139 | 0.121411 | ||||||||
\(705\) | 6.24790 | 0.235310 | ||||||||
\(706\) | −6.01997 | − | 7.54880i | −0.226564 | − | 0.284103i | ||||
\(707\) | −8.13837 | − | 9.16559i | −0.306075 | − | 0.344708i | ||||
\(708\) | 9.84017 | − | 12.3392i | 0.369816 | − | 0.463735i | ||||
\(709\) | 12.9312 | − | 16.2152i | 0.485642 | − | 0.608976i | −0.477282 | − | 0.878750i | \(-0.658378\pi\) |
0.962923 | + | 0.269775i | \(0.0869493\pi\) | |||||||
\(710\) | 1.77667 | + | 0.855600i | 0.0666773 | + | 0.0321101i | ||||
\(711\) | −25.2472 | − | 12.1584i | −0.946845 | − | 0.455977i | ||||
\(712\) | −8.38415 | + | 10.5134i | −0.314209 | + | 0.394006i | ||||
\(713\) | 0.0841266 | − | 0.105491i | 0.00315057 | − | 0.00395068i | ||||
\(714\) | 8.84474 | + | 31.0735i | 0.331006 | + | 1.16290i | ||||
\(715\) | 2.15223 | + | 2.69881i | 0.0804889 | + | 0.100930i | ||||
\(716\) | 3.55935 | 0.133019 | ||||||||
\(717\) | 47.7818 | 1.78444 | ||||||||
\(718\) | 20.1014 | + | 25.2064i | 0.750178 | + | 0.940693i | ||||
\(719\) | −3.25021 | − | 14.2401i | −0.121212 | − | 0.531066i | −0.998677 | − | 0.0514244i | \(-0.983624\pi\) |
0.877465 | − | 0.479641i | \(-0.159233\pi\) | |||||||
\(720\) | 1.27373 | + | 0.613394i | 0.0474690 | + | 0.0228598i | ||||
\(721\) | −26.6175 | − | 29.9772i | −0.991288 | − | 1.11641i | ||||
\(722\) | −31.6680 | + | 15.2505i | −1.17856 | + | 0.567565i | ||||
\(723\) | −5.14566 | − | 6.45245i | −0.191369 | − | 0.239969i | ||||
\(724\) | 0.0944982 | − | 0.0455079i | 0.00351200 | − | 0.00169129i | ||||
\(725\) | −10.0804 | − | 44.1651i | −0.374377 | − | 1.64025i | ||||
\(726\) | 1.55009 | + | 0.746483i | 0.0575292 | + | 0.0277046i | ||||
\(727\) | −0.302256 | + | 1.32427i | −0.0112100 | + | 0.0491144i | −0.980224 | − | 0.197893i | \(-0.936590\pi\) |
0.969014 | + | 0.247008i | \(0.0794472\pi\) | |||||||
\(728\) | −8.57648 | − | 3.58463i | −0.317866 | − | 0.132855i | ||||
\(729\) | 9.79974 | + | 42.9355i | 0.362953 | + | 1.59020i | ||||
\(730\) | 0.602242 | − | 2.63860i | 0.0222900 | − | 0.0976588i | ||||
\(731\) | 13.0369 | − | 16.3477i | 0.482185 | − | 0.604641i | ||||
\(732\) | 5.00970 | − | 21.9489i | 0.185164 | − | 0.811256i | ||||
\(733\) | −29.5430 | + | 14.2272i | −1.09120 | + | 0.525492i | −0.890880 | − | 0.454239i | \(-0.849911\pi\) |
−0.200316 | + | 0.979731i | \(0.564197\pi\) | |||||||
\(734\) | −2.72559 | −0.100603 | ||||||||
\(735\) | 0.697949 | − | 5.85791i | 0.0257442 | − | 0.216072i | ||||
\(736\) | 0.619800 | 0.0228461 | ||||||||
\(737\) | 30.8400 | − | 14.8518i | 1.13601 | − | 0.547072i | ||||
\(738\) | −8.10662 | + | 35.5174i | −0.298409 | + | 1.30742i | ||||
\(739\) | −31.6090 | + | 39.6365i | −1.16276 | + | 1.45805i | −0.298922 | + | 0.954278i | \(0.596627\pi\) |
−0.863835 | + | 0.503774i | \(0.831944\pi\) | |||||||
\(740\) | 0.381170 | − | 1.67002i | 0.0140121 | − | 0.0613910i | ||||
\(741\) | 15.8964 | + | 69.6467i | 0.583969 | + | 2.55853i | ||||
\(742\) | −1.66614 | − | 1.87644i | −0.0611660 | − | 0.0688864i | ||||
\(743\) | 9.53749 | − | 41.7865i | 0.349897 | − | 1.53300i | −0.427517 | − | 0.904007i | \(-0.640612\pi\) |
0.777414 | − | 0.628990i | \(-0.216531\pi\) | |||||||
\(744\) | −0.541968 | − | 0.260998i | −0.0198695 | − | 0.00956865i | ||||
\(745\) | −0.858381 | − | 3.76081i | −0.0314486 | − | 0.137786i | ||||
\(746\) | 28.3303 | − | 13.6432i | 1.03725 | − | 0.499512i | ||||
\(747\) | −10.5496 | − | 13.2287i | −0.385989 | − | 0.484014i | ||||
\(748\) | −12.8263 | + | 6.17680i | −0.468974 | + | 0.225846i | ||||
\(749\) | 40.5881 | − | 22.2633i | 1.48306 | − | 0.813485i | ||||
\(750\) | −7.52240 | − | 3.62260i | −0.274679 | − | 0.132278i | ||||
\(751\) | −6.39587 | − | 28.0222i | −0.233389 | − | 1.02254i | −0.946806 | − | 0.321804i | \(-0.895711\pi\) |
0.713418 | − | 0.700739i | \(-0.247146\pi\) | |||||||
\(752\) | −4.62230 | − | 5.79618i | −0.168558 | − | 0.211365i | ||||
\(753\) | 2.08813 | 0.0760957 | ||||||||
\(754\) | 32.4351 | 1.18122 | ||||||||
\(755\) | −0.453336 | − | 0.568466i | −0.0164986 | − | 0.0206886i | ||||
\(756\) | 11.0301 | + | 4.61015i | 0.401161 | + | 0.167669i | ||||
\(757\) | 27.3136 | − | 34.2501i | 0.992728 | − | 1.24484i | 0.0232335 | − | 0.999730i | \(-0.492604\pi\) |
0.969495 | − | 0.245112i | \(-0.0788247\pi\) | |||||||
\(758\) | −8.91669 | + | 11.1812i | −0.323869 | + | 0.406119i | ||||
\(759\) | −4.97069 | − | 2.39376i | −0.180424 | − | 0.0868878i | ||||
\(760\) | 2.02208 | + | 0.973782i | 0.0733485 | + | 0.0353228i | ||||
\(761\) | −23.6950 | + | 29.7126i | −0.858945 | + | 1.07708i | 0.137303 | + | 0.990529i | \(0.456157\pi\) |
−0.996247 | + | 0.0865533i | \(0.972415\pi\) | |||||||
\(762\) | −15.4647 | + | 19.3921i | −0.560225 | + | 0.702500i | ||||
\(763\) | −8.48730 | + | 49.0044i | −0.307261 | + | 1.77408i | ||||
\(764\) | −8.65318 | − | 10.8507i | −0.313061 | − | 0.392566i | ||||
\(765\) | −6.24759 | −0.225882 | ||||||||
\(766\) | −0.0222728 | −0.000804748 | ||||||||
\(767\) | −12.5116 | − | 15.6891i | −0.451768 | − | 0.566500i | ||||
\(768\) | −0.614868 | − | 2.69391i | −0.0221872 | − | 0.0972083i | ||||
\(769\) | 8.28051 | + | 3.98768i | 0.298603 | + | 0.143800i | 0.577186 | − | 0.816612i | \(-0.304151\pi\) |
−0.278584 | + | 0.960412i | \(0.589865\pi\) | |||||||
\(770\) | 2.59584 | − | 0.137464i | 0.0935477 | − | 0.00495386i | ||||
\(771\) | −35.1712 | + | 16.9376i | −1.26666 | + | 0.609992i | ||||
\(772\) | −1.39924 | − | 1.75459i | −0.0503597 | − | 0.0631491i | ||||
\(773\) | −34.0080 | + | 16.3774i | −1.22318 | + | 0.589054i | −0.930196 | − | 0.367063i | \(-0.880363\pi\) |
−0.292986 | + | 0.956117i | \(0.594649\pi\) | |||||||
\(774\) | −4.88022 | − | 21.3817i | −0.175416 | − | 0.768548i | ||||
\(775\) | 0.962445 | + | 0.463489i | 0.0345721 | + | 0.0166490i | ||||
\(776\) | 0.291882 | − | 1.27882i | 0.0104780 | − | 0.0459069i | ||||
\(777\) | 7.00698 | − | 40.4573i | 0.251374 | − | 1.45140i | ||||
\(778\) | 1.56314 | + | 6.84858i | 0.0560414 | + | 0.245533i | ||||
\(779\) | −12.8695 | + | 56.3851i | −0.461099 | + | 2.02020i | ||||
\(780\) | 1.84611 | − | 2.31494i | 0.0661012 | − | 0.0828883i | ||||
\(781\) | −4.63466 | + | 20.3058i | −0.165841 | + | 0.726598i | ||||
\(782\) | −2.46779 | + | 1.18842i | −0.0882480 | + | 0.0424980i | ||||
\(783\) | −41.7143 | −1.49075 | ||||||||
\(784\) | −5.95074 | + | 3.68629i | −0.212526 | + | 0.131653i | ||||
\(785\) | −2.35564 | −0.0840763 | ||||||||
\(786\) | −25.1486 | + | 12.1109i | −0.897021 | + | 0.431983i | ||||
\(787\) | −2.35722 | + | 10.3277i | −0.0840259 | + | 0.368141i | −0.999406 | − | 0.0344481i | \(-0.989033\pi\) |
0.915381 | + | 0.402590i | \(0.131890\pi\) | |||||||
\(788\) | −2.80780 | + | 3.52087i | −0.100024 | + | 0.125426i | ||||
\(789\) | 6.67979 | − | 29.2661i | 0.237807 | − | 1.04190i | ||||
\(790\) | 0.410296 | + | 1.79762i | 0.0145977 | + | 0.0639565i | ||||
\(791\) | −32.5605 | + | 17.8600i | −1.15772 | + | 0.635029i | ||||
\(792\) | −3.32266 | + | 14.5575i | −0.118066 | + | 0.517280i | ||||
\(793\) | −25.7906 | − | 12.4201i | −0.915852 | − | 0.441051i | ||||
\(794\) | −0.436343 | − | 1.91174i | −0.0154852 | − | 0.0678453i | ||||
\(795\) | 0.720170 | − | 0.346816i | 0.0255418 | − | 0.0123003i | ||||
\(796\) | −4.72044 | − | 5.91925i | −0.167312 | − | 0.209802i | ||||
\(797\) | −14.7470 | + | 7.10179i | −0.522366 | + | 0.251558i | −0.676436 | − | 0.736502i | \(-0.736476\pi\) |
0.154070 | + | 0.988060i | \(0.450762\pi\) | |||||||
\(798\) | 49.6356 | + | 20.7457i | 1.75708 | + | 0.734390i | ||||
\(799\) | 29.5179 | + | 14.2151i | 1.04427 | + | 0.502893i | ||||
\(800\) | 1.09191 | + | 4.78395i | 0.0386047 | + | 0.169138i | ||||
\(801\) | −38.8626 | − | 48.7321i | −1.37314 | − | 1.72186i | ||||
\(802\) | −13.8775 | −0.490033 | ||||||||
\(803\) | 28.5858 | 1.00877 | ||||||||
\(804\) | −18.3064 | − | 22.9555i | −0.645616 | − | 0.809576i | ||||
\(805\) | 0.499444 | − | 0.0264483i | 0.0176031 | − | 0.000932179i | ||||
\(806\) | −0.476874 | + | 0.597981i | −0.0167972 | + | 0.0210630i | ||||
\(807\) | −8.26028 | + | 10.3581i | −0.290776 | + | 0.364621i | ||||
\(808\) | −4.17403 | − | 2.01011i | −0.146842 | − | 0.0707153i | ||||
\(809\) | 25.3984 | + | 12.2312i | 0.892961 | + | 0.430027i | 0.823341 | − | 0.567547i | \(-0.192107\pi\) |
0.0696192 | + | 0.997574i | \(0.477822\pi\) | |||||||
\(810\) | 0.270082 | − | 0.338673i | 0.00948973 | − | 0.0118997i | ||||
\(811\) | −15.4457 | + | 19.3683i | −0.542372 | + | 0.680113i | −0.975190 | − | 0.221368i | \(-0.928948\pi\) |
0.432818 | + | 0.901481i | \(0.357519\pi\) | |||||||
\(812\) | 14.1978 | − | 19.8752i | 0.498246 | − | 0.697482i | ||||
\(813\) | −35.5997 | − | 44.6406i | −1.24854 | − | 1.56562i | ||||
\(814\) | 18.0925 | 0.634140 | ||||||||
\(815\) | 4.10677 | 0.143854 | ||||||||
\(816\) | 7.61355 | + | 9.54709i | 0.266528 | + | 0.334215i | ||||
\(817\) | −7.74751 | − | 33.9441i | −0.271051 | − | 1.18755i | ||||
\(818\) | 13.1560 | + | 6.33557i | 0.459987 | + | 0.221518i | ||||
\(819\) | 25.0451 | − | 35.0600i | 0.875148 | − | 1.22510i | ||||
\(820\) | 2.15974 | − | 1.04007i | 0.0754213 | − | 0.0363210i | ||||
\(821\) | 21.3275 | + | 26.7438i | 0.744335 | + | 0.933367i | 0.999437 | − | 0.0335474i | \(-0.0106805\pi\) |
−0.255102 | + | 0.966914i | \(0.582109\pi\) | |||||||
\(822\) | 7.29843 | − | 3.51474i | 0.254562 | − | 0.122591i | ||||
\(823\) | −9.21333 | − | 40.3663i | −0.321157 | − | 1.40708i | −0.835498 | − | 0.549493i | \(-0.814821\pi\) |
0.514341 | − | 0.857586i | \(-0.328036\pi\) | |||||||
\(824\) | −13.6517 | − | 6.57429i | −0.475578 | − | 0.229026i | ||||
\(825\) | 9.71941 | − | 42.5835i | 0.338386 | − | 1.48257i | ||||
\(826\) | −15.0905 | + | 0.799123i | −0.525065 | + | 0.0278050i | ||||
\(827\) | −5.09646 | − | 22.3291i | −0.177221 | − | 0.776458i | −0.982905 | − | 0.184112i | \(-0.941059\pi\) |
0.805684 | − | 0.592346i | \(-0.201798\pi\) | |||||||
\(828\) | −0.639285 | + | 2.80089i | −0.0222167 | + | 0.0973377i | ||||
\(829\) | −5.19919 | + | 6.51958i | −0.180575 | + | 0.226434i | −0.863878 | − | 0.503701i | \(-0.831971\pi\) |
0.683303 | + | 0.730135i | \(0.260543\pi\) | |||||||
\(830\) | −0.247741 | + | 1.08543i | −0.00859922 | + | 0.0376757i | ||||
\(831\) | 43.6822 | − | 21.0362i | 1.51532 | − | 0.729739i | ||||
\(832\) | −3.51336 | −0.121804 | ||||||||
\(833\) | 16.6252 | − | 26.0874i | 0.576028 | − | 0.903876i | ||||
\(834\) | 17.8586 | 0.618392 | ||||||||
\(835\) | 2.64842 | − | 1.27541i | 0.0916524 | − | 0.0441374i | ||||
\(836\) | −5.27484 | + | 23.1106i | −0.182434 | + | 0.799296i | ||||
\(837\) | 0.613302 | − | 0.769056i | 0.0211988 | − | 0.0265825i | ||||
\(838\) | −0.0761847 | + | 0.333787i | −0.00263176 | + | 0.0115305i | ||||
\(839\) | −1.49838 | − | 6.56485i | −0.0517300 | − | 0.226644i | 0.942454 | − | 0.334335i | \(-0.108512\pi\) |
−0.994184 | + | 0.107691i | \(0.965654\pi\) | |||||||
\(840\) | −0.610425 | − | 2.14456i | −0.0210617 | − | 0.0739942i | ||||
\(841\) | −12.5121 | + | 54.8189i | −0.431450 | + | 1.89031i | ||||
\(842\) | 15.3109 | + | 7.37332i | 0.527647 | + | 0.254101i | ||||
\(843\) | −1.81877 | − | 7.96855i | −0.0626417 | − | 0.274451i | ||||
\(844\) | −15.1223 | + | 7.28251i | −0.520530 | + | 0.250674i | ||||
\(845\) | 0.124810 | + | 0.156507i | 0.00429359 | + | 0.00538399i | ||||
\(846\) | 30.9607 | − | 14.9099i | 1.06445 | − | 0.512612i | ||||
\(847\) | −0.450985 | − | 1.58441i | −0.0154960 | − | 0.0544410i | ||||
\(848\) | −0.854535 | − | 0.411522i | −0.0293449 | − | 0.0141317i | ||||
\(849\) | −8.65591 | − | 37.9240i | −0.297070 | − | 1.30155i | ||||
\(850\) | −13.5204 | − | 16.9541i | −0.463746 | − | 0.581520i | ||||
\(851\) | 3.48101 | 0.119328 | ||||||||
\(852\) | 17.8655 | 0.612062 | ||||||||
\(853\) | 22.9427 | + | 28.7692i | 0.785543 | + | 0.985040i | 0.999966 | + | 0.00829884i | \(0.00264163\pi\) |
−0.214422 | + | 0.976741i | \(0.568787\pi\) | |||||||
\(854\) | −18.9000 | + | 10.3670i | −0.646744 | + | 0.354751i | ||||
\(855\) | −6.48620 | + | 8.13343i | −0.221823 | + | 0.278157i | ||||
\(856\) | 10.9093 | − | 13.6798i | 0.372872 | − | 0.467567i | ||||
\(857\) | 41.1652 | + | 19.8241i | 1.40618 | + | 0.677180i | 0.974404 | − | 0.224802i | \(-0.0721737\pi\) |
0.431774 | + | 0.901982i | \(0.357888\pi\) | |||||||
\(858\) | 28.1765 | + | 13.5691i | 0.961929 | + | 0.463241i | ||||
\(859\) | 24.6385 | − | 30.8957i | 0.840655 | − | 1.05415i | −0.157127 | − | 0.987578i | \(-0.550223\pi\) |
0.997782 | − | 0.0665697i | \(-0.0212055\pi\) | |||||||
\(860\) | −0.899746 | + | 1.12825i | −0.0306811 | + | 0.0384729i | ||||
\(861\) | 50.3779 | − | 27.6332i | 1.71687 | − | 0.941737i | ||||
\(862\) | −18.4598 | − | 23.1478i | −0.628743 | − | 0.788419i | ||||
\(863\) | 31.1734 | 1.06115 | 0.530577 | − | 0.847637i | \(-0.321975\pi\) | ||||
0.530577 | + | 0.847637i | \(0.321975\pi\) | |||||||
\(864\) | 4.51848 | 0.153722 | ||||||||
\(865\) | −0.995473 | − | 1.24828i | −0.0338471 | − | 0.0424429i | ||||
\(866\) | 1.04790 | + | 4.59115i | 0.0356091 | + | 0.156014i | ||||
\(867\) | −6.29756 | − | 3.03275i | −0.213876 | − | 0.102997i | ||||
\(868\) | 0.157681 | + | 0.553968i | 0.00535204 | + | 0.0188029i | ||||
\(869\) | −17.5463 | + | 8.44985i | −0.595217 | + | 0.286641i | ||||
\(870\) | 4.85096 | + | 6.08291i | 0.164463 | + | 0.206230i | ||||
\(871\) | −33.6351 | + | 16.1978i | −1.13968 | + | 0.548843i | ||||
\(872\) | 4.18287 | + | 18.3264i | 0.141650 | + | 0.620609i | ||||
\(873\) | 5.47795 | + | 2.63804i | 0.185401 | + | 0.0892843i | ||||
\(874\) | −1.01489 | + | 4.44650i | −0.0343290 | + | 0.150405i | ||||
\(875\) | 2.18858 | + | 7.68896i | 0.0739875 | + | 0.259934i | ||||
\(876\) | −5.45618 | − | 23.9051i | −0.184347 | − | 0.807678i | ||||
\(877\) | −8.00753 | + | 35.0833i | −0.270395 | + | 1.18468i | 0.639153 | + | 0.769080i | \(0.279285\pi\) |
−0.909548 | + | 0.415599i | \(0.863572\pi\) | |||||||
\(878\) | 7.22291 | − | 9.05724i | 0.243761 | − | 0.305667i | ||||
\(879\) | −7.83790 | + | 34.3401i | −0.264366 | + | 1.15826i | ||||
\(880\) | 0.885212 | − | 0.426296i | 0.0298405 | − | 0.0143704i | ||||
\(881\) | 24.1710 | 0.814342 | 0.407171 | − | 0.913352i | \(-0.366515\pi\) | ||||
0.407171 | + | 0.913352i | \(0.366515\pi\) | |||||||
\(882\) | −10.5206 | − | 30.6937i | −0.354247 | − | 1.03351i | ||||
\(883\) | −26.1128 | −0.878766 | −0.439383 | − | 0.898300i | \(-0.644803\pi\) | ||||
−0.439383 | + | 0.898300i | \(0.644803\pi\) | |||||||
\(884\) | 13.9887 | − | 6.73662i | 0.470492 | − | 0.226577i | ||||
\(885\) | 1.07112 | − | 4.69288i | 0.0360053 | − | 0.157750i | ||||
\(886\) | −6.57140 | + | 8.24027i | −0.220770 | + | 0.276837i | ||||
\(887\) | 5.21584 | − | 22.8521i | 0.175131 | − | 0.767298i | −0.808703 | − | 0.588217i | \(-0.799830\pi\) |
0.983834 | − | 0.179082i | \(-0.0573126\pi\) | |||||||
\(888\) | −3.45332 | − | 15.1300i | −0.115886 | − | 0.507728i | ||||
\(889\) | 23.7160 | − | 1.25589i | 0.795408 | − | 0.0421212i | ||||
\(890\) | −0.912630 | + | 3.99849i | −0.0305914 | + | 0.134030i | ||||
\(891\) | 4.12217 | + | 1.98513i | 0.138098 | + | 0.0665045i | ||||
\(892\) | −1.66326 | − | 7.28723i | −0.0556902 | − | 0.243995i | ||||
\(893\) | 49.1511 | − | 23.6699i | 1.64478 | − | 0.792084i | ||||
\(894\) | −21.7899 | − | 27.3237i | −0.728764 | − | 0.913842i | ||||
\(895\) | 0.978082 | − | 0.471019i | 0.0326937 | − | 0.0157444i | ||||
\(896\) | −1.53790 | + | 2.15287i | −0.0513778 | + | 0.0719224i | ||||
\(897\) | 5.42119 | + | 2.61071i | 0.181008 | + | 0.0871690i | ||||
\(898\) | −3.99150 | − | 17.4879i | −0.133198 | − | 0.583579i | ||||
\(899\) | −1.25307 | − | 1.57130i | −0.0417921 | − | 0.0524057i | ||||
\(900\) | −22.7450 | −0.758167 | ||||||||
\(901\) | 4.19147 | 0.139638 | ||||||||
\(902\) | 15.7859 | + | 19.7949i | 0.525614 | + | 0.659099i | ||||
\(903\) | −20.1065 | + | 28.1466i | −0.669104 | + | 0.936660i | ||||
\(904\) | −8.75162 | + | 10.9742i | −0.291074 | + | 0.364996i | ||||
\(905\) | 0.0199451 | − | 0.0250104i | 0.000662999 | − | 0.000831374i | ||||
\(906\) | −5.93497 | − | 2.85813i | −0.197176 | − | 0.0949550i | ||||
\(907\) | 24.6485 | + | 11.8701i | 0.818439 | + | 0.394139i | 0.795767 | − | 0.605603i | \(-0.207068\pi\) |
0.0226725 | + | 0.999743i | \(0.492783\pi\) | |||||||
\(908\) | −4.15881 | + | 5.21498i | −0.138015 | + | 0.173065i | ||||
\(909\) | 13.3890 | − | 16.7892i | 0.444084 | − | 0.556864i | ||||
\(910\) | −2.83111 | + | 0.149923i | −0.0938504 | + | 0.00496989i | ||||
\(911\) | 33.6220 | + | 42.1606i | 1.11395 | + | 1.39684i | 0.908352 | + | 0.418207i | \(0.137341\pi\) |
0.205594 | + | 0.978637i | \(0.434087\pi\) | |||||||
\(912\) | 20.3332 | 0.673300 | ||||||||
\(913\) | −11.7592 | −0.389172 | ||||||||
\(914\) | −18.2667 | − | 22.9057i | −0.604208 | − | 0.757653i | ||||
\(915\) | −1.52794 | − | 6.69434i | −0.0505121 | − | 0.221308i | ||||
\(916\) | 11.1430 | + | 5.36621i | 0.368177 | + | 0.177305i | ||||
\(917\) | 24.6593 | + | 10.3066i | 0.814320 | + | 0.340354i | ||||
\(918\) | −17.9907 | + | 8.66388i | −0.593783 | + | 0.285951i | ||||
\(919\) | 12.2838 | + | 15.4034i | 0.405206 | + | 0.508112i | 0.942005 | − | 0.335598i | \(-0.108938\pi\) |
−0.536800 | + | 0.843710i | \(0.680367\pi\) | |||||||
\(920\) | 0.170316 | − | 0.0820199i | 0.00561515 | − | 0.00270411i | ||||
\(921\) | 19.6228 | + | 85.9732i | 0.646594 | + | 2.83291i | ||||
\(922\) | 31.8095 | + | 15.3186i | 1.04759 | + | 0.504492i | ||||
\(923\) | 5.05471 | − | 22.1461i | 0.166378 | − | 0.728949i | ||||
\(924\) | 20.6484 | − | 11.3260i | 0.679283 | − | 0.372599i | ||||
\(925\) | 6.13252 | + | 26.8683i | 0.201636 | + | 0.883425i | ||||
\(926\) | 6.45174 | − | 28.2669i | 0.212017 | − | 0.928909i | ||||
\(927\) | 43.7902 | − | 54.9112i | 1.43826 | − | 1.80352i | ||||
\(928\) | 2.05430 | − | 9.00047i | 0.0674357 | − | 0.295455i | ||||
\(929\) | 19.9971 | − | 9.63011i | 0.656084 | − | 0.315954i | −0.0760599 | − | 0.997103i | \(-0.524234\pi\) |
0.732144 | + | 0.681150i | \(0.238520\pi\) | |||||||
\(930\) | −0.183467 | −0.00601611 | ||||||||
\(931\) | −16.7018 | − | 48.7272i | −0.547380 | − | 1.59697i | ||||
\(932\) | −13.2225 | −0.433117 | ||||||||
\(933\) | −30.2025 | + | 14.5447i | −0.988785 | + | 0.476174i | ||||
\(934\) | −3.57259 | + | 15.6525i | −0.116899 | + | 0.512167i | ||||
\(935\) | −2.70716 | + | 3.39467i | −0.0885335 | + | 0.111018i | ||||
\(936\) | 3.62381 | − | 15.8769i | 0.118448 | − | 0.518954i | ||||
\(937\) | 2.02309 | + | 8.86374i | 0.0660915 | + | 0.289566i | 0.997163 | − | 0.0752707i | \(-0.0239821\pi\) |
−0.931072 | + | 0.364836i | \(0.881125\pi\) | |||||||
\(938\) | −4.79763 | + | 27.7008i | −0.156648 | + | 0.904464i | ||||
\(939\) | 11.2508 | − | 49.2930i | 0.367156 | − | 1.60862i | ||||
\(940\) | −2.03720 | − | 0.981061i | −0.0664460 | − | 0.0319987i | ||||
\(941\) | 2.49965 | + | 10.9517i | 0.0814864 | + | 0.357015i | 0.999190 | − | 0.0402515i | \(-0.0128159\pi\) |
−0.917703 | + | 0.397267i | \(0.869959\pi\) | |||||||
\(942\) | −19.2281 | + | 9.25975i | −0.626484 | + | 0.301699i | ||||
\(943\) | 3.03723 | + | 3.80857i | 0.0989059 | + | 0.124024i | ||||
\(944\) | −5.14602 | + | 2.47819i | −0.167489 | + | 0.0806584i | ||||
\(945\) | 3.64106 | − | 0.192814i | 0.118444 | − | 0.00627223i | ||||
\(946\) | −13.7325 | − | 6.61323i | −0.446483 | − | 0.215015i | ||||
\(947\) | 1.65346 | + | 7.24429i | 0.0537303 | + | 0.235408i | 0.994662 | − | 0.103189i | \(-0.0329047\pi\) |
−0.940931 | + | 0.338597i | \(0.890048\pi\) | |||||||
\(948\) | 10.4153 | + | 13.0604i | 0.338274 | + | 0.424182i | ||||
\(949\) | −31.1766 | −1.01203 | ||||||||
\(950\) | −36.1084 | −1.17151 | ||||||||
\(951\) | −59.7553 | − | 74.9308i | −1.93770 | − | 2.42980i | ||||
\(952\) | 1.99532 | − | 11.5207i | 0.0646687 | − | 0.373387i | ||||
\(953\) | 28.8635 | − | 36.1937i | 0.934981 | − | 1.17243i | −0.0498226 | − | 0.998758i | \(-0.515866\pi\) |
0.984804 | − | 0.173671i | \(-0.0555630\pi\) | |||||||
\(954\) | 2.74108 | − | 3.43721i | 0.0887457 | − | 0.111284i | ||||
\(955\) | −3.81373 | − | 1.83660i | −0.123409 | − | 0.0594308i | ||||
\(956\) | −15.5798 | − | 7.50282i | −0.503886 | − | 0.242659i | ||||
\(957\) | −51.2362 | + | 64.2482i | −1.65623 | + | 2.07685i | ||||
\(958\) | −6.34008 | + | 7.95021i | −0.204839 | + | 0.256860i | ||||
\(959\) | −7.15642 | − | 2.99110i | −0.231093 | − | 0.0965876i | ||||
\(960\) | −0.525454 | − | 0.658898i | −0.0169590 | − | 0.0212659i | ||||
\(961\) | −30.9526 | −0.998471 | ||||||||
\(962\) | −19.7322 | −0.636192 | ||||||||
\(963\) | 50.5672 | + | 63.4093i | 1.62951 | + | 2.04334i | ||||
\(964\) | 0.664616 | + | 2.91188i | 0.0214059 | + | 0.0937852i | ||||
\(965\) | −0.616689 | − | 0.296982i | −0.0198519 | − | 0.00956019i | ||||
\(966\) | 3.97278 | − | 2.17914i | 0.127822 | − | 0.0701128i | ||||
\(967\) | −49.0434 | + | 23.6180i | −1.57713 | + | 0.759505i | −0.998429 | − | 0.0560364i | \(-0.982154\pi\) |
−0.578699 | + | 0.815541i | \(0.696439\pi\) | |||||||
\(968\) | −0.388208 | − | 0.486798i | −0.0124775 | − | 0.0156463i | ||||
\(969\) | −80.9585 | + | 38.9875i | −2.60076 | + | 1.25246i | ||||
\(970\) | −0.0890228 | − | 0.390035i | −0.00285835 | − | 0.0125233i | ||||
\(971\) | 41.3138 | + | 19.8957i | 1.32582 | + | 0.638482i | 0.956748 | − | 0.290918i | \(-0.0939606\pi\) |
0.369074 | + | 0.929400i | \(0.379675\pi\) | |||||||
\(972\) | 3.88965 | − | 17.0417i | 0.124761 | − | 0.546612i | ||||
\(973\) | −11.3534 | − | 12.7865i | −0.363975 | − | 0.409915i | ||||
\(974\) | −1.86987 | − | 8.19243i | −0.0599145 | − | 0.262502i | ||||
\(975\) | −10.6003 | + | 46.4430i | −0.339481 | + | 1.48737i | ||||
\(976\) | −5.07995 | + | 6.37005i | −0.162605 | + | 0.203900i | ||||
\(977\) | 6.16374 | − | 27.0051i | 0.197196 | − | 0.863970i | −0.775401 | − | 0.631470i | \(-0.782452\pi\) |
0.972596 | − | 0.232501i | \(-0.0746908\pi\) | |||||||
\(978\) | 33.5218 | − | 16.1432i | 1.07191 | − | 0.516204i | ||||
\(979\) | −43.3185 | −1.38447 | ||||||||
\(980\) | −1.14740 | + | 1.80044i | −0.0366523 | + | 0.0575129i | ||||
\(981\) | −87.1317 | −2.78190 | ||||||||
\(982\) | −7.30943 | + | 3.52004i | −0.233253 | + | 0.112329i | ||||
\(983\) | −2.92562 | + | 12.8180i | −0.0933126 | + | 0.408829i | −0.999913 | − | 0.0131600i | \(-0.995811\pi\) |
0.906601 | + | 0.421989i | \(0.138668\pi\) | |||||||
\(984\) | 13.5406 | − | 16.9794i | 0.431658 | − | 0.541282i | ||||
\(985\) | −0.305634 | + | 1.33907i | −0.00973831 | + | 0.0426663i | ||||
\(986\) | 9.07842 | + | 39.7752i | 0.289116 | + | 1.26670i | ||||
\(987\) | −50.0066 | − | 20.9008i | −1.59173 | − | 0.665279i | ||||
\(988\) | 5.75291 | − | 25.2051i | 0.183024 | − | 0.801882i | ||||
\(989\) | −2.64215 | − | 1.27239i | −0.0840156 | − | 0.0404598i | ||||
\(990\) | 1.01340 | + | 4.43999i | 0.0322079 | + | 0.141112i | ||||
\(991\) | 1.24332 | − | 0.598750i | 0.0394952 | − | 0.0190199i | −0.414032 | − | 0.910262i | \(-0.635880\pi\) |
0.453527 | + | 0.891242i | \(0.350166\pi\) | |||||||
\(992\) | 0.135732 | + | 0.170202i | 0.00430949 | + | 0.00540393i | ||||
\(993\) | −44.3744 | + | 21.3696i | −1.40818 | + | 0.678144i | ||||
\(994\) | −11.3578 | − | 12.7914i | −0.360249 | − | 0.405719i | ||||
\(995\) | −2.08045 | − | 1.00189i | −0.0659547 | − | 0.0317621i | ||||
\(996\) | 2.24448 | + | 9.83371i | 0.0711190 | + | 0.311593i | ||||
\(997\) | −10.2183 | − | 12.8133i | −0.323617 | − | 0.405803i | 0.593236 | − | 0.805029i | \(-0.297850\pi\) |
−0.916852 | + | 0.399226i | \(0.869279\pi\) | |||||||
\(998\) | 17.0029 | 0.538216 | ||||||||
\(999\) | 25.3774 | 0.802904 |
(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 | 98.2.e.a.71.1 | yes | 18 | |
3.2 | odd | 2 | 882.2.u.j.757.2 | 18 | |||
4.3 | odd | 2 | 784.2.u.c.561.3 | 18 | |||
7.2 | even | 3 | 686.2.g.i.263.1 | 36 | |||
7.3 | odd | 6 | 686.2.g.j.275.1 | 36 | |||
7.4 | even | 3 | 686.2.g.i.275.3 | 36 | |||
7.5 | odd | 6 | 686.2.g.j.263.3 | 36 | |||
7.6 | odd | 2 | 686.2.e.a.491.3 | 18 | |||
49.12 | odd | 42 | 686.2.g.j.459.1 | 36 | |||
49.15 | even | 7 | 4802.2.a.h.1.7 | 9 | |||
49.17 | odd | 42 | 686.2.g.j.373.3 | 36 | |||
49.20 | odd | 14 | 686.2.e.a.197.3 | 18 | |||
49.29 | even | 7 | inner | 98.2.e.a.29.1 | ✓ | 18 | |
49.32 | even | 21 | 686.2.g.i.373.1 | 36 | |||
49.34 | odd | 14 | 4802.2.a.e.1.3 | 9 | |||
49.37 | even | 21 | 686.2.g.i.459.3 | 36 | |||
147.29 | odd | 14 | 882.2.u.j.127.2 | 18 | |||
196.127 | odd | 14 | 784.2.u.c.225.3 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
98.2.e.a.29.1 | ✓ | 18 | 49.29 | even | 7 | inner | |
98.2.e.a.71.1 | yes | 18 | 1.1 | even | 1 | trivial | |
686.2.e.a.197.3 | 18 | 49.20 | odd | 14 | |||
686.2.e.a.491.3 | 18 | 7.6 | odd | 2 | |||
686.2.g.i.263.1 | 36 | 7.2 | even | 3 | |||
686.2.g.i.275.3 | 36 | 7.4 | even | 3 | |||
686.2.g.i.373.1 | 36 | 49.32 | even | 21 | |||
686.2.g.i.459.3 | 36 | 49.37 | even | 21 | |||
686.2.g.j.263.3 | 36 | 7.5 | odd | 6 | |||
686.2.g.j.275.1 | 36 | 7.3 | odd | 6 | |||
686.2.g.j.373.3 | 36 | 49.17 | odd | 42 | |||
686.2.g.j.459.1 | 36 | 49.12 | odd | 42 | |||
784.2.u.c.225.3 | 18 | 196.127 | odd | 14 | |||
784.2.u.c.561.3 | 18 | 4.3 | odd | 2 | |||
882.2.u.j.127.2 | 18 | 147.29 | odd | 14 | |||
882.2.u.j.757.2 | 18 | 3.2 | odd | 2 | |||
4802.2.a.e.1.3 | 9 | 49.34 | odd | 14 | |||
4802.2.a.h.1.7 | 9 | 49.15 | even | 7 |