Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(4,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.t (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 39.9 | ||
Character | \(\chi\) | \(=\) | 175.39 |
Dual form | 175.2.t.a.9.9 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0344884 | + | 0.0774623i | −0.0243870 | + | 0.0547741i | −0.925328 | − | 0.379167i | \(-0.876211\pi\) |
0.900941 | + | 0.433941i | \(0.142877\pi\) | |||||||
\(3\) | 1.59919 | − | 1.43992i | 0.923294 | − | 0.831338i | −0.0627145 | − | 0.998032i | \(-0.519976\pi\) |
0.986009 | + | 0.166694i | \(0.0533091\pi\) | |||||||
\(4\) | 1.33345 | + | 1.48095i | 0.666725 | + | 0.740473i | ||||
\(5\) | −1.93666 | − | 1.11773i | −0.866103 | − | 0.499866i | ||||
\(6\) | 0.0563858 | + | 0.173538i | 0.0230194 | + | 0.0708465i | ||||
\(7\) | 1.81133 | − | 1.92849i | 0.684620 | − | 0.728900i | ||||
\(8\) | −0.321992 | + | 0.104622i | −0.113841 | + | 0.0369893i | ||||
\(9\) | 0.170463 | − | 1.62185i | 0.0568211 | − | 0.540617i | ||||
\(10\) | 0.153375 | − | 0.111470i | 0.0485014 | − | 0.0352498i | ||||
\(11\) | 0.0810973 | + | 0.771589i | 0.0244518 | + | 0.232643i | 0.999922 | + | 0.0125104i | \(0.00398229\pi\) |
−0.975470 | + | 0.220132i | \(0.929351\pi\) | |||||||
\(12\) | 4.26489 | + | 0.448258i | 1.23117 | + | 0.129401i | ||||
\(13\) | −2.38458 | + | 3.28209i | −0.661362 | + | 0.910287i | −0.999526 | − | 0.0308004i | \(-0.990194\pi\) |
0.338163 | + | 0.941087i | \(0.390194\pi\) | |||||||
\(14\) | 0.0869151 | + | 0.206821i | 0.0232290 | + | 0.0552751i | ||||
\(15\) | −4.70655 | + | 1.00117i | −1.21523 | + | 0.258501i | ||||
\(16\) | −0.413610 | + | 3.93524i | −0.103402 | + | 0.983809i | ||||
\(17\) | 1.54568 | − | 7.27184i | 0.374882 | − | 1.76368i | −0.235796 | − | 0.971803i | \(-0.575770\pi\) |
0.610678 | − | 0.791879i | \(-0.290897\pi\) | |||||||
\(18\) | 0.119753 | + | 0.0691396i | 0.0282261 | + | 0.0162964i | ||||
\(19\) | −2.07649 | + | 2.30618i | −0.476379 | + | 0.529073i | −0.932657 | − | 0.360765i | \(-0.882516\pi\) |
0.456277 | + | 0.889838i | \(0.349182\pi\) | |||||||
\(20\) | −0.927141 | − | 4.35854i | −0.207315 | − | 0.974599i | ||||
\(21\) | 0.119803 | − | 5.69220i | 0.0261431 | − | 1.24214i | ||||
\(22\) | −0.0625660 | − | 0.0203289i | −0.0133391 | − | 0.00433414i | ||||
\(23\) | −1.11740 | + | 2.50972i | −0.232994 | + | 0.523314i | −0.991769 | − | 0.128039i | \(-0.959132\pi\) |
0.758775 | + | 0.651353i | \(0.225798\pi\) | |||||||
\(24\) | −0.364281 | + | 0.630953i | −0.0743585 | + | 0.128793i | ||||
\(25\) | 2.50134 | + | 4.32935i | 0.500268 | + | 0.865871i | ||||
\(26\) | −0.171998 | − | 0.297909i | −0.0337315 | − | 0.0584247i | ||||
\(27\) | 1.73188 | + | 2.38373i | 0.333300 | + | 0.458749i | ||||
\(28\) | 5.27131 | + | 0.110944i | 0.996184 | + | 0.0209665i | ||||
\(29\) | −0.481599 | + | 1.48221i | −0.0894306 | + | 0.275239i | −0.985762 | − | 0.168145i | \(-0.946222\pi\) |
0.896332 | + | 0.443384i | \(0.146222\pi\) | |||||||
\(30\) | 0.0847686 | − | 0.399109i | 0.0154766 | − | 0.0728669i | ||||
\(31\) | −2.90034 | − | 0.616487i | −0.520917 | − | 0.110724i | −0.0600532 | − | 0.998195i | \(-0.519127\pi\) |
−0.460864 | + | 0.887471i | \(0.652460\pi\) | |||||||
\(32\) | −0.876975 | − | 0.506322i | −0.155029 | − | 0.0895059i | ||||
\(33\) | 1.24072 | + | 1.11715i | 0.215981 | + | 0.194470i | ||||
\(34\) | 0.509986 | + | 0.370526i | 0.0874618 | + | 0.0635447i | ||||
\(35\) | −5.66348 | + | 1.71025i | −0.957304 | + | 0.289085i | ||||
\(36\) | 2.62918 | − | 1.91021i | 0.438196 | − | 0.318368i | ||||
\(37\) | −2.52814 | − | 0.265719i | −0.415624 | − | 0.0436839i | −0.105591 | − | 0.994410i | \(-0.533674\pi\) |
−0.310033 | + | 0.950726i | \(0.600340\pi\) | |||||||
\(38\) | −0.107027 | − | 0.240386i | −0.0173620 | − | 0.0389958i | ||||
\(39\) | 0.912545 | + | 8.68228i | 0.146124 | + | 1.39028i | ||||
\(40\) | 0.740530 | + | 0.157285i | 0.117088 | + | 0.0248689i | ||||
\(41\) | −7.51560 | − | 5.46040i | −1.17374 | − | 0.852772i | −0.182288 | − | 0.983245i | \(-0.558350\pi\) |
−0.991452 | + | 0.130473i | \(0.958350\pi\) | |||||||
\(42\) | 0.436799 | + | 0.205595i | 0.0673996 | + | 0.0317240i | ||||
\(43\) | 0.436894i | 0.0666257i | 0.999445 | + | 0.0333128i | \(0.0106058\pi\) | ||||
−0.999445 | + | 0.0333128i | \(0.989394\pi\) | |||||||
\(44\) | −1.03454 | + | 1.14898i | −0.155963 | + | 0.173215i | ||||
\(45\) | −2.14293 | + | 2.95045i | −0.319449 | + | 0.439827i | ||||
\(46\) | −0.155872 | − | 0.173113i | −0.0229820 | − | 0.0255241i | ||||
\(47\) | 1.48633 | + | 6.99262i | 0.216803 | + | 1.01998i | 0.943077 | + | 0.332574i | \(0.107917\pi\) |
−0.726274 | + | 0.687405i | \(0.758750\pi\) | |||||||
\(48\) | 5.00498 | + | 6.88877i | 0.722407 | + | 0.994308i | ||||
\(49\) | −0.438140 | − | 6.98627i | −0.0625914 | − | 0.998039i | ||||
\(50\) | −0.421629 | + | 0.0444470i | −0.0596273 | + | 0.00628575i | ||||
\(51\) | −7.99903 | − | 13.8547i | −1.12009 | − | 1.94005i | ||||
\(52\) | −8.04031 | + | 0.845070i | −1.11499 | + | 0.117190i | ||||
\(53\) | −5.31835 | + | 4.78867i | −0.730532 | + | 0.657774i | −0.947992 | − | 0.318295i | \(-0.896890\pi\) |
0.217459 | + | 0.976069i | \(0.430223\pi\) | |||||||
\(54\) | −0.244379 | + | 0.0519443i | −0.0332558 | + | 0.00706873i | ||||
\(55\) | 0.705373 | − | 1.58495i | 0.0951125 | − | 0.213715i | ||||
\(56\) | −0.381474 | + | 0.810463i | −0.0509765 | + | 0.108303i | ||||
\(57\) | 6.67800i | 0.884522i | ||||||||
\(58\) | −0.0982057 | − | 0.0884248i | −0.0128950 | − | 0.0116107i | ||||
\(59\) | −6.61134 | + | 2.94356i | −0.860723 | + | 0.383218i | −0.789138 | − | 0.614216i | \(-0.789472\pi\) |
−0.0715848 | + | 0.997435i | \(0.522806\pi\) | |||||||
\(60\) | −7.75862 | − | 5.63514i | −1.00163 | − | 0.727493i | ||||
\(61\) | 9.51398 | + | 4.23589i | 1.21814 | + | 0.542351i | 0.912218 | − | 0.409706i | \(-0.134369\pi\) |
0.305922 | + | 0.952057i | \(0.401035\pi\) | |||||||
\(62\) | 0.147783 | − | 0.203406i | 0.0187684 | − | 0.0258325i | ||||
\(63\) | −2.81896 | − | 3.26645i | −0.355155 | − | 0.411534i | ||||
\(64\) | −6.33295 | + | 4.60116i | −0.791619 | + | 0.575145i | ||||
\(65\) | 8.28662 | − | 3.69098i | 1.02783 | − | 0.457810i | ||||
\(66\) | −0.129327 | + | 0.0575801i | −0.0159191 | + | 0.00708762i | ||||
\(67\) | 3.32126 | − | 15.6253i | 0.405756 | − | 1.90893i | −0.0110511 | − | 0.999939i | \(-0.503518\pi\) |
0.416807 | − | 0.908995i | \(-0.363149\pi\) | |||||||
\(68\) | 12.8303 | − | 7.40758i | 1.55590 | − | 0.898301i | ||||
\(69\) | 1.82686 | + | 5.62250i | 0.219928 | + | 0.676870i | ||||
\(70\) | 0.0628451 | − | 0.497690i | 0.00751142 | − | 0.0594854i | ||||
\(71\) | 2.22375 | − | 6.84399i | 0.263910 | − | 0.812232i | −0.728032 | − | 0.685543i | \(-0.759565\pi\) |
0.991942 | − | 0.126689i | \(-0.0404351\pi\) | |||||||
\(72\) | 0.114793 | + | 0.540057i | 0.0135284 | + | 0.0636464i | ||||
\(73\) | 8.20790 | − | 0.862685i | 0.960662 | − | 0.100970i | 0.388803 | − | 0.921321i | \(-0.372889\pi\) |
0.571860 | + | 0.820351i | \(0.306222\pi\) | |||||||
\(74\) | 0.107775 | − | 0.186672i | 0.0125286 | − | 0.0217001i | ||||
\(75\) | 10.2340 | + | 3.32174i | 1.18173 | + | 0.383561i | ||||
\(76\) | −6.18422 | −0.709379 | ||||||||
\(77\) | 1.63490 | + | 1.24121i | 0.186314 | + | 0.141449i | ||||
\(78\) | −0.704022 | − | 0.228751i | −0.0797148 | − | 0.0259009i | ||||
\(79\) | −1.21317 | + | 0.257867i | −0.136492 | + | 0.0290123i | −0.275651 | − | 0.961258i | \(-0.588893\pi\) |
0.139159 | + | 0.990270i | \(0.455560\pi\) | |||||||
\(80\) | 5.19957 | − | 7.15893i | 0.581330 | − | 0.800392i | ||||
\(81\) | 10.9874 | + | 2.33545i | 1.22083 | + | 0.259494i | ||||
\(82\) | 0.682177 | − | 0.393855i | 0.0753338 | − | 0.0434940i | ||||
\(83\) | 9.47392 | − | 3.07826i | 1.03990 | − | 0.337883i | 0.261201 | − | 0.965284i | \(-0.415881\pi\) |
0.778696 | + | 0.627401i | \(0.215881\pi\) | |||||||
\(84\) | 8.58959 | − | 7.41284i | 0.937202 | − | 0.808808i | ||||
\(85\) | −11.1214 | + | 12.3555i | −1.20629 | + | 1.34014i | ||||
\(86\) | −0.0338428 | − | 0.0150678i | −0.00364936 | − | 0.00162480i | ||||
\(87\) | 1.36409 | + | 3.06380i | 0.146246 | + | 0.328474i | ||||
\(88\) | −0.106838 | − | 0.239961i | −0.0113889 | − | 0.0255799i | ||||
\(89\) | −0.391669 | − | 0.174382i | −0.0415168 | − | 0.0184845i | 0.385873 | − | 0.922552i | \(-0.373900\pi\) |
−0.427390 | + | 0.904067i | \(0.640567\pi\) | |||||||
\(90\) | −0.154642 | − | 0.267752i | −0.0163007 | − | 0.0282236i | ||||
\(91\) | 2.01021 | + | 10.5436i | 0.210727 | + | 1.10527i | ||||
\(92\) | −5.20677 | + | 1.69178i | −0.542843 | + | 0.176380i | ||||
\(93\) | −5.52590 | + | 3.19038i | −0.573009 | + | 0.330827i | ||||
\(94\) | −0.592926 | − | 0.126030i | −0.0611556 | − | 0.0129990i | ||||
\(95\) | 6.59916 | − | 2.14533i | 0.677059 | − | 0.220106i | ||||
\(96\) | −2.13151 | + | 0.453067i | −0.217547 | + | 0.0462410i | ||||
\(97\) | 2.33870 | + | 0.759888i | 0.237459 | + | 0.0771550i | 0.425329 | − | 0.905039i | \(-0.360158\pi\) |
−0.187870 | + | 0.982194i | \(0.560158\pi\) | |||||||
\(98\) | 0.556284 | + | 0.207006i | 0.0561931 | + | 0.0209108i | ||||
\(99\) | 1.26523 | 0.127160 | ||||||||
\(100\) | −3.07613 | + | 9.47733i | −0.307613 | + | 0.947733i | ||||
\(101\) | 4.87946 | − | 8.45148i | 0.485525 | − | 0.840953i | −0.514337 | − | 0.857588i | \(-0.671962\pi\) |
0.999862 | + | 0.0166348i | \(0.00529527\pi\) | |||||||
\(102\) | 1.34909 | − | 0.141795i | 0.133580 | − | 0.0140398i | ||||
\(103\) | −3.94230 | − | 18.5470i | −0.388446 | − | 1.82749i | −0.543277 | − | 0.839554i | \(-0.682817\pi\) |
0.154831 | − | 0.987941i | \(-0.450517\pi\) | |||||||
\(104\) | 0.424437 | − | 1.30628i | 0.0416195 | − | 0.128092i | ||||
\(105\) | −6.59438 | + | 10.8900i | −0.643546 | + | 1.06275i | ||||
\(106\) | −0.187519 | − | 0.577126i | −0.0182135 | − | 0.0560554i | ||||
\(107\) | 9.44149 | − | 5.45104i | 0.912743 | − | 0.526972i | 0.0314302 | − | 0.999506i | \(-0.489994\pi\) |
0.881313 | + | 0.472534i | \(0.156660\pi\) | |||||||
\(108\) | −1.22080 | + | 5.74341i | −0.117471 | + | 0.552659i | ||||
\(109\) | 1.99587 | − | 0.888617i | 0.191169 | − | 0.0851141i | −0.308919 | − | 0.951088i | \(-0.599967\pi\) |
0.500089 | + | 0.865974i | \(0.333301\pi\) | |||||||
\(110\) | 0.0984470 | + | 0.109302i | 0.00938655 | + | 0.0104216i | ||||
\(111\) | −4.42560 | + | 3.21539i | −0.420060 | + | 0.305191i | ||||
\(112\) | 6.83987 | + | 7.92567i | 0.646307 | + | 0.748905i | ||||
\(113\) | −2.23399 | + | 3.07483i | −0.210156 | + | 0.289255i | −0.901063 | − | 0.433689i | \(-0.857212\pi\) |
0.690906 | + | 0.722944i | \(0.257212\pi\) | |||||||
\(114\) | −0.517293 | − | 0.230314i | −0.0484489 | − | 0.0215709i | ||||
\(115\) | 4.96924 | − | 3.61154i | 0.463384 | − | 0.336778i | ||||
\(116\) | −2.83726 | + | 1.26323i | −0.263433 | + | 0.117288i | ||||
\(117\) | 4.91657 | + | 4.42690i | 0.454537 | + | 0.409267i | ||||
\(118\) | − | 0.613648i | − | 0.0564909i | ||||||
\(119\) | −11.2239 | − | 16.1526i | −1.02890 | − | 1.48070i | ||||
\(120\) | 1.41073 | − | 0.814775i | 0.128781 | − | 0.0743784i | ||||
\(121\) | 10.1709 | − | 2.16188i | 0.924623 | − | 0.196535i | ||||
\(122\) | −0.656244 | + | 0.590885i | −0.0594136 | + | 0.0534962i | ||||
\(123\) | −19.8814 | + | 2.08962i | −1.79265 | + | 0.188415i | ||||
\(124\) | −2.95448 | − | 5.11731i | −0.265320 | − | 0.459548i | ||||
\(125\) | −0.00519208 | − | 11.1803i | −0.000464394 | − | 1.00000i | ||||
\(126\) | 0.350248 | − | 0.105708i | 0.0312026 | − | 0.00941722i | ||||
\(127\) | −6.56295 | − | 9.03313i | −0.582368 | − | 0.801560i | 0.411585 | − | 0.911371i | \(-0.364975\pi\) |
−0.993952 | + | 0.109811i | \(0.964975\pi\) | |||||||
\(128\) | −0.559084 | − | 2.63028i | −0.0494165 | − | 0.232486i | ||||
\(129\) | 0.629092 | + | 0.698677i | 0.0553885 | + | 0.0615151i | ||||
\(130\) | 0.000119070 | 0.769197i | 1.04431e−5 | 0.0674630i | ||||||
\(131\) | −11.8803 | + | 13.1944i | −1.03799 | + | 1.15280i | −0.0499214 | + | 0.998753i | \(0.515897\pi\) |
−0.988064 | + | 0.154046i | \(0.950770\pi\) | |||||||
\(132\) | 3.32709i | 0.289586i | ||||||||
\(133\) | 0.686218 | + | 8.18174i | 0.0595027 | + | 0.709447i | ||||
\(134\) | 1.09583 | + | 0.796164i | 0.0946650 | + | 0.0687781i | ||||
\(135\) | −0.689696 | − | 6.55226i | −0.0593596 | − | 0.563929i | ||||
\(136\) | 0.263096 | + | 2.50319i | 0.0225603 | + | 0.214647i | ||||
\(137\) | −3.64860 | − | 8.19488i | −0.311721 | − | 0.700136i | 0.687951 | − | 0.725757i | \(-0.258510\pi\) |
−0.999672 | + | 0.0256210i | \(0.991844\pi\) | |||||||
\(138\) | −0.498537 | − | 0.0523984i | −0.0424383 | − | 0.00446045i | ||||
\(139\) | 13.2431 | − | 9.62164i | 1.12326 | − | 0.816097i | 0.138561 | − | 0.990354i | \(-0.455752\pi\) |
0.984700 | + | 0.174257i | \(0.0557523\pi\) | |||||||
\(140\) | −10.0848 | − | 6.10679i | −0.852318 | − | 0.516118i | ||||
\(141\) | 12.4457 | + | 9.04236i | 1.04812 | + | 0.761504i | ||||
\(142\) | 0.453458 | + | 0.408295i | 0.0380533 | + | 0.0342634i | ||||
\(143\) | −2.72580 | − | 1.57374i | −0.227943 | − | 0.131603i | ||||
\(144\) | 6.31186 | + | 1.34163i | 0.525988 | + | 0.111802i | ||||
\(145\) | 2.58941 | − | 2.33224i | 0.215039 | − | 0.193682i | ||||
\(146\) | −0.216252 | + | 0.665556i | −0.0178972 | + | 0.0550818i | ||||
\(147\) | −10.7603 | − | 10.5415i | −0.887498 | − | 0.869449i | ||||
\(148\) | −2.97764 | − | 4.09837i | −0.244760 | − | 0.336884i | ||||
\(149\) | 8.01026 | + | 13.8742i | 0.656226 | + | 1.13662i | 0.981585 | + | 0.191026i | \(0.0611816\pi\) |
−0.325359 | + | 0.945591i | \(0.605485\pi\) | |||||||
\(150\) | −0.610266 | + | 0.678191i | −0.0498280 | + | 0.0553741i | ||||
\(151\) | −5.81277 | + | 10.0680i | −0.473037 | + | 0.819323i | −0.999524 | − | 0.0308597i | \(-0.990175\pi\) |
0.526487 | + | 0.850183i | \(0.323509\pi\) | |||||||
\(152\) | 0.427338 | − | 0.959816i | 0.0346617 | − | 0.0778513i | ||||
\(153\) | −11.5304 | − | 3.74644i | −0.932175 | − | 0.302882i | ||||
\(154\) | −0.152532 | + | 0.0838353i | −0.0122914 | + | 0.00675564i | ||||
\(155\) | 4.92793 | + | 4.43574i | 0.395820 | + | 0.356287i | ||||
\(156\) | −11.6412 | + | 12.9288i | −0.932039 | + | 1.03513i | ||||
\(157\) | −1.09485 | − | 0.632112i | −0.0873785 | − | 0.0504480i | 0.455674 | − | 0.890147i | \(-0.349398\pi\) |
−0.543053 | + | 0.839699i | \(0.682732\pi\) | |||||||
\(158\) | 0.0218653 | − | 0.102868i | 0.00173951 | − | 0.00818375i | ||||
\(159\) | −1.60978 | + | 15.3160i | −0.127664 | + | 1.21464i | ||||
\(160\) | 1.13247 | + | 1.96080i | 0.0895299 | + | 0.155015i | ||||
\(161\) | 2.81599 | + | 6.70085i | 0.221931 | + | 0.528101i | ||||
\(162\) | −0.559849 | + | 0.770565i | −0.0439859 | + | 0.0605413i | ||||
\(163\) | −5.33388 | − | 0.560613i | −0.417781 | − | 0.0439106i | −0.106694 | − | 0.994292i | \(-0.534027\pi\) |
−0.311087 | + | 0.950381i | \(0.600693\pi\) | |||||||
\(164\) | −1.93511 | − | 18.4114i | −0.151107 | − | 1.43769i | ||||
\(165\) | −1.15418 | − | 3.55033i | −0.0898527 | − | 0.276393i | ||||
\(166\) | −0.0882913 | + | 0.840036i | −0.00685274 | + | 0.0651994i | ||||
\(167\) | −15.4040 | + | 5.00507i | −1.19200 | + | 0.387304i | −0.836811 | − | 0.547492i | \(-0.815583\pi\) |
−0.355187 | + | 0.934795i | \(0.615583\pi\) | |||||||
\(168\) | 0.556951 | + | 1.84538i | 0.0429697 | + | 0.142374i | ||||
\(169\) | −1.06867 | − | 3.28903i | −0.0822055 | − | 0.253003i | ||||
\(170\) | −0.573521 | − | 1.28761i | −0.0439871 | − | 0.0987555i | ||||
\(171\) | 3.38631 | + | 3.76088i | 0.258957 | + | 0.287601i | ||||
\(172\) | −0.647016 | + | 0.582576i | −0.0493345 | + | 0.0444210i | ||||
\(173\) | −4.93062 | + | 11.0744i | −0.374868 | + | 0.841967i | 0.623330 | + | 0.781959i | \(0.285779\pi\) |
−0.998198 | + | 0.0600083i | \(0.980887\pi\) | |||||||
\(174\) | −0.284374 | −0.0215584 | ||||||||
\(175\) | 12.8799 | + | 3.01810i | 0.973627 | + | 0.228147i | ||||
\(176\) | −3.06993 | −0.231405 | ||||||||
\(177\) | −6.33432 | + | 14.2271i | −0.476116 | + | 1.06937i | ||||
\(178\) | 0.0270161 | − | 0.0243254i | 0.00202494 | − | 0.00182327i | ||||
\(179\) | 6.18911 | + | 6.87371i | 0.462596 | + | 0.513765i | 0.928633 | − | 0.371000i | \(-0.120985\pi\) |
−0.466037 | + | 0.884765i | \(0.654318\pi\) | |||||||
\(180\) | −7.22694 | + | 0.760714i | −0.538665 | + | 0.0567002i | ||||
\(181\) | 6.35735 | + | 19.5659i | 0.472538 | + | 1.45432i | 0.849250 | + | 0.527991i | \(0.177055\pi\) |
−0.376712 | + | 0.926331i | \(0.622945\pi\) | |||||||
\(182\) | −0.886059 | − | 0.207916i | −0.0656791 | − | 0.0154118i | ||||
\(183\) | 21.3140 | − | 6.92535i | 1.57558 | − | 0.511936i | ||||
\(184\) | 0.0972231 | − | 0.925016i | 0.00716738 | − | 0.0681931i | ||||
\(185\) | 4.59917 | + | 3.34040i | 0.338137 | + | 0.245591i | ||||
\(186\) | −0.0565545 | − | 0.538080i | −0.00414678 | − | 0.0394539i | ||||
\(187\) | 5.73623 | + | 0.602902i | 0.419474 | + | 0.0440885i | ||||
\(188\) | −8.37376 | + | 11.5255i | −0.610719 | + | 0.840582i | ||||
\(189\) | 7.73401 | + | 0.977816i | 0.562566 | + | 0.0711256i | ||||
\(190\) | −0.0614128 | + | 0.585175i | −0.00445535 | + | 0.0424530i | ||||
\(191\) | 0.878957 | − | 8.36272i | 0.0635991 | − | 0.605105i | −0.915584 | − | 0.402126i | \(-0.868271\pi\) |
0.979183 | − | 0.202978i | \(-0.0650621\pi\) | |||||||
\(192\) | −3.50231 | + | 16.4771i | −0.252758 | + | 1.18913i | ||||
\(193\) | −6.62471 | − | 3.82478i | −0.476857 | − | 0.275313i | 0.242249 | − | 0.970214i | \(-0.422115\pi\) |
−0.719106 | + | 0.694901i | \(0.755448\pi\) | |||||||
\(194\) | −0.139521 | + | 0.154953i | −0.0100170 | + | 0.0111250i | ||||
\(195\) | 7.93719 | − | 17.8347i | 0.568394 | − | 1.27717i | ||||
\(196\) | 9.76206 | − | 9.96471i | 0.697290 | − | 0.711765i | ||||
\(197\) | −7.14703 | − | 2.32221i | −0.509205 | − | 0.165451i | 0.0431358 | − | 0.999069i | \(-0.486265\pi\) |
−0.552341 | + | 0.833619i | \(0.686265\pi\) | |||||||
\(198\) | −0.0436357 | + | 0.0980073i | −0.00310105 | + | 0.00696508i | ||||
\(199\) | −8.53277 | + | 14.7792i | −0.604872 | + | 1.04767i | 0.387199 | + | 0.921996i | \(0.373442\pi\) |
−0.992072 | + | 0.125673i | \(0.959891\pi\) | |||||||
\(200\) | −1.25836 | − | 1.13232i | −0.0889792 | − | 0.0800673i | ||||
\(201\) | −17.1878 | − | 29.7702i | −1.21234 | − | 2.09983i | ||||
\(202\) | 0.486386 | + | 0.669452i | 0.0342220 | + | 0.0471025i | ||||
\(203\) | 1.98609 | + | 3.61353i | 0.139396 | + | 0.253620i | ||||
\(204\) | 9.85180 | − | 30.3207i | 0.689764 | − | 2.12288i | ||||
\(205\) | 8.45192 | + | 18.9754i | 0.590308 | + | 1.32530i | ||||
\(206\) | 1.57266 | + | 0.334279i | 0.109572 | + | 0.0232903i | ||||
\(207\) | 3.87992 | + | 2.24007i | 0.269673 | + | 0.155696i | ||||
\(208\) | −11.9295 | − | 10.7414i | −0.827162 | − | 0.744780i | ||||
\(209\) | −1.94782 | − | 1.41517i | −0.134733 | − | 0.0978895i | ||||
\(210\) | −0.616132 | − | 0.886394i | −0.0425172 | − | 0.0611670i | ||||
\(211\) | 8.73069 | − | 6.34322i | 0.601045 | − | 0.436685i | −0.245204 | − | 0.969471i | \(-0.578855\pi\) |
0.846250 | + | 0.532786i | \(0.178855\pi\) | |||||||
\(212\) | −14.1835 | − | 1.49075i | −0.974128 | − | 0.102385i | ||||
\(213\) | −6.29859 | − | 14.1469i | −0.431573 | − | 0.969328i | ||||
\(214\) | 0.0966283 | + | 0.919357i | 0.00660538 | + | 0.0628460i | ||||
\(215\) | 0.488331 | − | 0.846117i | 0.0333039 | − | 0.0577047i | ||||
\(216\) | −0.807041 | − | 0.586350i | −0.0549122 | − | 0.0398960i | ||||
\(217\) | −6.44238 | + | 4.47662i | −0.437337 | + | 0.303893i | ||||
\(218\) | 0.185251i | 0.0125468i | ||||||||
\(219\) | 11.8838 | − | 13.1983i | 0.803034 | − | 0.891860i | ||||
\(220\) | 3.28781 | − | 1.06884i | 0.221664 | − | 0.0720610i | ||||
\(221\) | 20.1810 | + | 22.4133i | 1.35752 | + | 1.50768i | ||||
\(222\) | −0.0964393 | − | 0.453711i | −0.00647258 | − | 0.0304511i | ||||
\(223\) | −11.9119 | − | 16.3954i | −0.797682 | − | 1.09791i | −0.993109 | − | 0.117196i | \(-0.962609\pi\) |
0.195427 | − | 0.980718i | \(-0.437391\pi\) | |||||||
\(224\) | −2.56493 | + | 0.774119i | −0.171377 | + | 0.0517230i | ||||
\(225\) | 7.44795 | − | 3.31880i | 0.496530 | − | 0.221254i | ||||
\(226\) | −0.161136 | − | 0.279096i | −0.0107186 | − | 0.0185652i | ||||
\(227\) | 3.94689 | − | 0.414835i | 0.261964 | − | 0.0275336i | 0.0273642 | − | 0.999626i | \(-0.491289\pi\) |
0.234600 | + | 0.972092i | \(0.424622\pi\) | |||||||
\(228\) | −9.88976 | + | 8.90478i | −0.654965 | + | 0.589733i | ||||
\(229\) | −27.2239 | + | 5.78662i | −1.79901 | + | 0.382391i | −0.981183 | − | 0.193078i | \(-0.938153\pi\) |
−0.817824 | + | 0.575469i | \(0.804820\pi\) | |||||||
\(230\) | 0.108377 | + | 0.509485i | 0.00714615 | + | 0.0335944i | ||||
\(231\) | 4.40175 | − | 0.369184i | 0.289614 | − | 0.0242905i | ||||
\(232\) | − | 0.527645i | − | 0.0346416i | ||||||
\(233\) | 9.31265 | + | 8.38515i | 0.610092 | + | 0.549329i | 0.915206 | − | 0.402987i | \(-0.132028\pi\) |
−0.305114 | + | 0.952316i | \(0.598695\pi\) | |||||||
\(234\) | −0.512483 | + | 0.228172i | −0.0335020 | + | 0.0149161i | ||||
\(235\) | 4.93737 | − | 15.2037i | 0.322079 | − | 0.991779i | ||||
\(236\) | −13.1751 | − | 5.86595i | −0.857628 | − | 0.381841i | ||||
\(237\) | −1.56878 | + | 2.15924i | −0.101903 | + | 0.140258i | ||||
\(238\) | 1.63831 | − | 0.312355i | 0.106196 | − | 0.0202470i | ||||
\(239\) | 7.62417 | − | 5.53928i | 0.493166 | − | 0.358306i | −0.313234 | − | 0.949676i | \(-0.601413\pi\) |
0.806401 | + | 0.591370i | \(0.201413\pi\) | |||||||
\(240\) | −1.99316 | − | 18.9355i | −0.128658 | − | 1.22228i | ||||
\(241\) | 5.22796 | − | 2.32764i | 0.336763 | − | 0.149936i | −0.231387 | − | 0.972862i | \(-0.574326\pi\) |
0.568149 | + | 0.822925i | \(0.307660\pi\) | |||||||
\(242\) | −0.183312 | + | 0.862417i | −0.0117838 | + | 0.0554383i | ||||
\(243\) | 13.2788 | − | 7.66650i | 0.851834 | − | 0.491806i | ||||
\(244\) | 6.41328 | + | 19.7380i | 0.410568 | + | 1.26360i | ||||
\(245\) | −6.96027 | + | 14.0198i | −0.444675 | + | 0.895692i | ||||
\(246\) | 0.523813 | − | 1.61213i | 0.0333971 | − | 0.102786i | ||||
\(247\) | −2.61752 | − | 12.3145i | −0.166549 | − | 0.783551i | ||||
\(248\) | 0.998386 | − | 0.104935i | 0.0633975 | − | 0.00666335i | ||||
\(249\) | 10.7182 | − | 18.5644i | 0.679236 | − | 1.17647i | ||||
\(250\) | 0.866234 | + | 0.385190i | 0.0547854 | + | 0.0243616i | ||||
\(251\) | −8.04962 | −0.508088 | −0.254044 | − | 0.967193i | \(-0.581761\pi\) | ||||
−0.254044 | + | 0.967193i | \(0.581761\pi\) | |||||||
\(252\) | 1.07850 | − | 8.53037i | 0.0679392 | − | 0.537363i | ||||
\(253\) | −2.02709 | − | 0.658643i | −0.127442 | − | 0.0414085i | ||||
\(254\) | 0.926072 | − | 0.196843i | 0.0581070 | − | 0.0123510i | ||||
\(255\) | 0.00553755 | + | 35.7728i | 0.000346775 | + | 2.24018i | ||||
\(256\) | −15.0908 | − | 3.20764i | −0.943173 | − | 0.200478i | ||||
\(257\) | −17.9246 | + | 10.3488i | −1.11810 | + | 0.645538i | −0.940916 | − | 0.338639i | \(-0.890033\pi\) |
−0.177188 | + | 0.984177i | \(0.556700\pi\) | |||||||
\(258\) | −0.0758175 | + | 0.0246346i | −0.00472019 | + | 0.00153368i | ||||
\(259\) | −5.09175 | + | 4.39419i | −0.316386 | + | 0.273042i | ||||
\(260\) | 16.5159 | + | 7.35031i | 1.02428 | + | 0.455847i | ||||
\(261\) | 2.32183 | + | 1.03374i | 0.143717 | + | 0.0639871i | ||||
\(262\) | −0.612335 | − | 1.37533i | −0.0378302 | − | 0.0849680i | ||||
\(263\) | 2.39634 | + | 5.38226i | 0.147764 | + | 0.331884i | 0.972230 | − | 0.234028i | \(-0.0751908\pi\) |
−0.824465 | + | 0.565912i | \(0.808524\pi\) | |||||||
\(264\) | −0.516378 | − | 0.229906i | −0.0317809 | − | 0.0141498i | ||||
\(265\) | 15.6523 | − | 3.32954i | 0.961515 | − | 0.204532i | ||||
\(266\) | −0.657443 | − | 0.229019i | −0.0403104 | − | 0.0140421i | ||||
\(267\) | −0.877451 | + | 0.285101i | −0.0536991 | + | 0.0174479i | ||||
\(268\) | 27.5690 | − | 15.9169i | 1.68404 | − | 0.972282i | ||||
\(269\) | 14.2142 | + | 3.02131i | 0.866652 | + | 0.184213i | 0.619723 | − | 0.784821i | \(-0.287245\pi\) |
0.246929 | + | 0.969033i | \(0.420578\pi\) | |||||||
\(270\) | 0.531340 | + | 0.172552i | 0.0323363 | + | 0.0105012i | ||||
\(271\) | −2.10722 | + | 0.447903i | −0.128005 | + | 0.0272082i | −0.271468 | − | 0.962447i | \(-0.587509\pi\) |
0.143464 | + | 0.989656i | \(0.454176\pi\) | |||||||
\(272\) | 27.9771 | + | 9.09032i | 1.69636 | + | 0.551181i | ||||
\(273\) | 18.3966 | + | 13.9667i | 1.11341 | + | 0.845302i | ||||
\(274\) | 0.760629 | 0.0459513 | ||||||||
\(275\) | −3.13763 | + | 2.28111i | −0.189206 | + | 0.137556i | ||||
\(276\) | −5.89060 | + | 10.2028i | −0.354572 | + | 0.614137i | ||||
\(277\) | 21.9401 | − | 2.30600i | 1.31825 | − | 0.138554i | 0.580853 | − | 0.814008i | \(-0.302719\pi\) |
0.737402 | + | 0.675454i | \(0.236052\pi\) | |||||||
\(278\) | 0.288582 | + | 1.35767i | 0.0173080 | + | 0.0814278i | ||||
\(279\) | −1.49425 | + | 4.59884i | −0.0894586 | + | 0.275325i | ||||
\(280\) | 1.64467 | − | 1.14321i | 0.0982877 | − | 0.0683198i | ||||
\(281\) | 2.05603 | + | 6.32780i | 0.122652 | + | 0.377485i | 0.993466 | − | 0.114128i | \(-0.0364075\pi\) |
−0.870814 | + | 0.491613i | \(0.836407\pi\) | |||||||
\(282\) | −1.12968 | + | 0.652218i | −0.0672712 | + | 0.0388390i | ||||
\(283\) | −3.48489 | + | 16.3951i | −0.207155 | + | 0.974589i | 0.744548 | + | 0.667569i | \(0.232665\pi\) |
−0.951703 | + | 0.307020i | \(0.900668\pi\) | |||||||
\(284\) | 13.1008 | − | 5.83287i | 0.777392 | − | 0.346117i | ||||
\(285\) | 7.46423 | − | 12.9330i | 0.442143 | − | 0.766087i | ||||
\(286\) | 0.215915 | − | 0.156871i | 0.0127673 | − | 0.00927598i | ||||
\(287\) | −24.1436 | + | 4.60314i | −1.42515 | + | 0.271715i | ||||
\(288\) | −0.970671 | + | 1.33601i | −0.0571973 | + | 0.0787253i | ||||
\(289\) | −34.9603 | − | 15.5653i | −2.05649 | − | 0.915608i | ||||
\(290\) | 0.0913561 | + | 0.281017i | 0.00536461 | + | 0.0165019i | ||||
\(291\) | 4.83420 | − | 2.15233i | 0.283386 | − | 0.126172i | ||||
\(292\) | 12.2224 | + | 11.0051i | 0.715263 | + | 0.644026i | ||||
\(293\) | − | 16.9613i | − | 0.990888i | −0.868640 | − | 0.495444i | \(-0.835005\pi\) | ||
0.868640 | − | 0.495444i | \(-0.164995\pi\) | |||||||
\(294\) | 1.18768 | − | 0.469961i | 0.0692667 | − | 0.0274087i | ||||
\(295\) | 16.0941 | + | 1.68903i | 0.937032 | + | 0.0983394i | ||||
\(296\) | 0.841842 | − | 0.178939i | 0.0489311 | − | 0.0104006i | ||||
\(297\) | −1.69881 | + | 1.52961i | −0.0985748 | + | 0.0887572i | ||||
\(298\) | −1.35099 | + | 0.141994i | −0.0782606 | + | 0.00822552i | ||||
\(299\) | −5.57261 | − | 9.65204i | −0.322272 | − | 0.558192i | ||||
\(300\) | 8.72727 | + | 19.5854i | 0.503869 | + | 1.13077i | ||||
\(301\) | 0.842545 | + | 0.791361i | 0.0485635 | + | 0.0456133i | ||||
\(302\) | −0.579418 | − | 0.797501i | −0.0333418 | − | 0.0458910i | ||||
\(303\) | −4.36625 | − | 20.5416i | −0.250834 | − | 1.18008i | ||||
\(304\) | −8.21649 | − | 9.12534i | −0.471248 | − | 0.523374i | ||||
\(305\) | −13.6908 | − | 18.8376i | −0.783932 | − | 1.07864i | ||||
\(306\) | 0.687872 | − | 0.763960i | 0.0393230 | − | 0.0436727i | ||||
\(307\) | − | 20.8993i | − | 1.19279i | −0.802693 | − | 0.596393i | \(-0.796600\pi\) | ||
0.802693 | − | 0.596393i | \(-0.203400\pi\) | |||||||
\(308\) | 0.341886 | + | 4.07628i | 0.0194807 | + | 0.232268i | ||||
\(309\) | −33.0107 | − | 23.9837i | −1.87792 | − | 1.36439i | ||||
\(310\) | −0.513559 | + | 0.228747i | −0.0291682 | + | 0.0129919i | ||||
\(311\) | −2.22343 | − | 21.1545i | −0.126079 | − | 1.19956i | −0.856346 | − | 0.516402i | \(-0.827271\pi\) |
0.730267 | − | 0.683162i | \(-0.239396\pi\) | |||||||
\(312\) | −1.20219 | − | 2.70015i | −0.0680604 | − | 0.152866i | ||||
\(313\) | −8.88346 | − | 0.933689i | −0.502123 | − | 0.0527752i | −0.149918 | − | 0.988698i | \(-0.547901\pi\) |
−0.352204 | + | 0.935923i | \(0.614568\pi\) | |||||||
\(314\) | 0.0867245 | − | 0.0630090i | 0.00489414 | − | 0.00355580i | ||||
\(315\) | 1.80835 | + | 9.47686i | 0.101889 | + | 0.533961i | ||||
\(316\) | −1.99959 | − | 1.45278i | −0.112485 | − | 0.0817255i | ||||
\(317\) | 25.2208 | + | 22.7089i | 1.41654 | + | 1.27546i | 0.910847 | + | 0.412745i | \(0.135430\pi\) |
0.505693 | + | 0.862713i | \(0.331237\pi\) | |||||||
\(318\) | −1.13089 | − | 0.652922i | −0.0634174 | − | 0.0366140i | ||||
\(319\) | −1.18271 | − | 0.251393i | −0.0662192 | − | 0.0140753i | ||||
\(320\) | 17.4077 | − | 1.83235i | 0.973119 | − | 0.102431i | ||||
\(321\) | 7.24969 | − | 22.3122i | 0.404638 | − | 1.24535i | ||||
\(322\) | −0.616182 | − | 0.0129687i | −0.0343385 | − | 0.000722715i | ||||
\(323\) | 13.5606 | + | 18.6645i | 0.754530 | + | 1.03852i | ||||
\(324\) | 11.1925 | + | 19.3860i | 0.621806 | + | 1.07700i | ||||
\(325\) | −20.1739 | − | 2.11405i | −1.11905 | − | 0.117267i | ||||
\(326\) | 0.227383 | − | 0.393840i | 0.0125936 | − | 0.0218128i | ||||
\(327\) | 1.91224 | − | 4.29496i | 0.105747 | − | 0.237512i | ||||
\(328\) | 2.99124 | + | 0.971913i | 0.165164 | + | 0.0536649i | ||||
\(329\) | 16.1774 | + | 9.79961i | 0.891891 | + | 0.540270i | ||||
\(330\) | 0.314822 | + | 0.0330399i | 0.0173304 | + | 0.00181879i | ||||
\(331\) | −0.870135 | + | 0.966383i | −0.0478269 | + | 0.0531172i | −0.766584 | − | 0.642145i | \(-0.778045\pi\) |
0.718757 | + | 0.695262i | \(0.244712\pi\) | |||||||
\(332\) | 17.1917 | + | 9.92566i | 0.943520 | + | 0.544741i | ||||
\(333\) | −0.861912 | + | 4.05498i | −0.0472325 | + | 0.222211i | ||||
\(334\) | 0.143556 | − | 1.36585i | 0.00785505 | − | 0.0747358i | ||||
\(335\) | −23.8971 | + | 26.5487i | −1.30564 | + | 1.45051i | ||||
\(336\) | 22.3506 | + | 2.82580i | 1.21933 | + | 0.154160i | ||||
\(337\) | 6.50737 | − | 8.95663i | 0.354479 | − | 0.487898i | −0.594121 | − | 0.804376i | \(-0.702500\pi\) |
0.948600 | + | 0.316477i | \(0.102500\pi\) | |||||||
\(338\) | 0.291633 | + | 0.0306518i | 0.0158627 | + | 0.00166724i | ||||
\(339\) | 0.854919 | + | 8.13401i | 0.0464328 | + | 0.441779i | ||||
\(340\) | −33.1277 | + | 0.00512810i | −1.79660 | + | 0.000278110i | ||||
\(341\) | 0.240465 | − | 2.28787i | 0.0130219 | − | 0.123895i | ||||
\(342\) | −0.408114 | + | 0.132604i | −0.0220683 | + | 0.00717043i | ||||
\(343\) | −14.2666 | − | 11.8095i | −0.770322 | − | 0.637655i | ||||
\(344\) | −0.0457085 | − | 0.140676i | −0.00246444 | − | 0.00758476i | ||||
\(345\) | 2.74644 | − | 12.9308i | 0.147864 | − | 0.696173i | ||||
\(346\) | −0.687795 | − | 0.763874i | −0.0369761 | − | 0.0410661i | ||||
\(347\) | 1.19125 | − | 1.07261i | 0.0639496 | − | 0.0575805i | −0.636536 | − | 0.771247i | \(-0.719633\pi\) |
0.700486 | + | 0.713666i | \(0.252967\pi\) | |||||||
\(348\) | −2.71838 | + | 6.10557i | −0.145720 | + | 0.327293i | ||||
\(349\) | −15.6684 | −0.838711 | −0.419355 | − | 0.907822i | \(-0.637744\pi\) | ||||
−0.419355 | + | 0.907822i | \(0.637744\pi\) | |||||||
\(350\) | −0.677995 | + | 0.893615i | −0.0362404 | + | 0.0477657i | ||||
\(351\) | −11.9534 | −0.638025 | ||||||||
\(352\) | 0.319552 | − | 0.717726i | 0.0170322 | − | 0.0382549i | ||||
\(353\) | 11.3994 | − | 10.2640i | 0.606727 | − | 0.546299i | −0.307476 | − | 0.951556i | \(-0.599484\pi\) |
0.914203 | + | 0.405257i | \(0.132818\pi\) | |||||||
\(354\) | −0.883604 | − | 0.981341i | −0.0469630 | − | 0.0521577i | ||||
\(355\) | −11.9564 | + | 10.7690i | −0.634581 | + | 0.571557i | ||||
\(356\) | −0.264020 | − | 0.812571i | −0.0139931 | − | 0.0430662i | ||||
\(357\) | −41.2076 | − | 9.66949i | −2.18094 | − | 0.511764i | ||||
\(358\) | −0.745906 | + | 0.242360i | −0.0394224 | + | 0.0128091i | ||||
\(359\) | −2.89042 | + | 27.5005i | −0.152550 | + | 1.45142i | 0.603739 | + | 0.797182i | \(0.293677\pi\) |
−0.756289 | + | 0.654237i | \(0.772990\pi\) | |||||||
\(360\) | 0.381325 | − | 1.17422i | 0.0200976 | − | 0.0618867i | ||||
\(361\) | 0.979405 | + | 9.31841i | 0.0515476 | + | 0.490443i | ||||
\(362\) | −1.73487 | − | 0.182343i | −0.0911830 | − | 0.00958372i | ||||
\(363\) | 13.1522 | − | 18.1025i | 0.690312 | − | 0.950133i | ||||
\(364\) | −12.9340 | + | 17.0364i | −0.677924 | + | 0.892947i | ||||
\(365\) | −16.8602 | − | 7.50352i | −0.882504 | − | 0.392752i | ||||
\(366\) | −0.198634 | + | 1.88988i | −0.0103828 | + | 0.0987855i | ||||
\(367\) | −3.71542 | + | 17.4797i | −0.193943 | + | 0.912432i | 0.768268 | + | 0.640128i | \(0.221119\pi\) |
−0.962211 | + | 0.272304i | \(0.912215\pi\) | |||||||
\(368\) | −9.41419 | − | 5.43529i | −0.490749 | − | 0.283334i | ||||
\(369\) | −10.1371 | + | 11.2584i | −0.527716 | + | 0.586088i | ||||
\(370\) | −0.417373 | + | 0.241057i | −0.0216982 | + | 0.0125319i | ||||
\(371\) | −0.398421 | + | 18.9303i | −0.0206850 | + | 0.982810i | ||||
\(372\) | −12.0933 | − | 3.92935i | −0.627008 | − | 0.203727i | ||||
\(373\) | 0.0318187 | − | 0.0714660i | 0.00164751 | − | 0.00370037i | −0.912720 | − | 0.408586i | \(-0.866022\pi\) |
0.914367 | + | 0.404886i | \(0.132689\pi\) | |||||||
\(374\) | −0.244536 | + | 0.423548i | −0.0126446 | + | 0.0219011i | ||||
\(375\) | −16.1071 | − | 17.8720i | −0.831767 | − | 0.922908i | ||||
\(376\) | −1.21016 | − | 2.09607i | −0.0624095 | − | 0.108096i | ||||
\(377\) | −3.71633 | − | 5.11509i | −0.191401 | − | 0.263440i | ||||
\(378\) | −0.342478 | + | 0.565371i | −0.0176151 | + | 0.0290795i | ||||
\(379\) | −3.71992 | + | 11.4487i | −0.191079 | + | 0.588082i | 0.808921 | + | 0.587918i | \(0.200052\pi\) |
−1.00000 | 0.000164080i | \(0.999948\pi\) | ||||||||
\(380\) | 11.9768 | + | 6.91231i | 0.614395 | + | 0.354594i | ||||
\(381\) | −23.5024 | − | 4.99559i | −1.20406 | − | 0.255932i | ||||
\(382\) | 0.617481 | + | 0.356503i | 0.0315931 | + | 0.0182403i | ||||
\(383\) | −14.6958 | − | 13.2321i | −0.750920 | − | 0.676131i | 0.201989 | − | 0.979388i | \(-0.435259\pi\) |
−0.952909 | + | 0.303256i | \(0.901926\pi\) | |||||||
\(384\) | −4.68148 | − | 3.40129i | −0.238901 | − | 0.173571i | ||||
\(385\) | −1.77890 | − | 4.23119i | −0.0906612 | − | 0.215641i | ||||
\(386\) | 0.524752 | − | 0.381254i | 0.0267092 | − | 0.0194053i | ||||
\(387\) | 0.708577 | + | 0.0744744i | 0.0360190 | + | 0.00378575i | ||||
\(388\) | 1.99318 | + | 4.47676i | 0.101188 | + | 0.227273i | ||||
\(389\) | 1.11055 | + | 10.5662i | 0.0563072 | + | 0.535728i | 0.985923 | + | 0.167198i | \(0.0534720\pi\) |
−0.929616 | + | 0.368529i | \(0.879861\pi\) | |||||||
\(390\) | 1.10777 | + | 1.22992i | 0.0560942 | + | 0.0622796i | ||||
\(391\) | 16.5232 | + | 12.0048i | 0.835613 | + | 0.607109i | ||||
\(392\) | 0.871993 | + | 2.20369i | 0.0440423 | + | 0.111303i | ||||
\(393\) | 38.2070i | 1.92729i | ||||||||
\(394\) | 0.426374 | − | 0.473536i | 0.0214804 | − | 0.0238564i | ||||
\(395\) | 2.63772 | + | 0.856597i | 0.132718 | + | 0.0431001i | ||||
\(396\) | 1.68712 | + | 1.87373i | 0.0847808 | + | 0.0941586i | ||||
\(397\) | −0.383562 | − | 1.80452i | −0.0192504 | − | 0.0905660i | 0.967474 | − | 0.252972i | \(-0.0814080\pi\) |
−0.986724 | + | 0.162406i | \(0.948075\pi\) | |||||||
\(398\) | −0.850548 | − | 1.17068i | −0.0426341 | − | 0.0586809i | ||||
\(399\) | 12.8784 | + | 12.0961i | 0.644729 | + | 0.605562i | ||||
\(400\) | −18.0716 | + | 8.05270i | −0.903580 | + | 0.402635i | ||||
\(401\) | 15.2995 | + | 26.4995i | 0.764021 | + | 1.32332i | 0.940763 | + | 0.339065i | \(0.110111\pi\) |
−0.176742 | + | 0.984257i | \(0.556556\pi\) | |||||||
\(402\) | 2.89885 | − | 0.304681i | 0.144581 | − | 0.0151961i | ||||
\(403\) | 8.93945 | − | 8.04912i | 0.445306 | − | 0.400955i | ||||
\(404\) | 19.0227 | − | 4.04340i | 0.946415 | − | 0.201167i | ||||
\(405\) | −18.6686 | − | 16.8040i | −0.927648 | − | 0.834998i | ||||
\(406\) | −0.348409 | + | 0.0292218i | −0.0172913 | + | 0.00145025i | ||||
\(407\) | − | 1.97224i | − | 0.0977602i | ||||||
\(408\) | 4.02513 | + | 3.62424i | 0.199274 | + | 0.179427i | ||||
\(409\) | 16.4596 | − | 7.32827i | 0.813873 | − | 0.362359i | 0.0427818 | − | 0.999084i | \(-0.486378\pi\) |
0.771091 | + | 0.636725i | \(0.219711\pi\) | |||||||
\(410\) | −1.76137 | 0.000272657i | −0.0869880 | 1.34656e-5i | ||||||
\(411\) | −17.6348 | − | 7.85151i | −0.869859 | − | 0.387286i | ||||
\(412\) | 22.2103 | − | 30.5699i | 1.09422 | − | 1.50607i | ||||
\(413\) | −6.29872 | + | 18.0817i | −0.309940 | + | 0.889740i | ||||
\(414\) | −0.307334 | + | 0.223291i | −0.0151046 | + | 0.0109742i | ||||
\(415\) | −21.7885 | − | 4.62776i | −1.06955 | − | 0.227168i | ||||
\(416\) | 3.75301 | − | 1.67095i | 0.184006 | − | 0.0819248i | ||||
\(417\) | 7.32380 | − | 34.4558i | 0.358648 | − | 1.68731i | ||||
\(418\) | 0.176800 | − | 0.102075i | 0.00864756 | − | 0.00499267i | ||||
\(419\) | 4.80692 | + | 14.7942i | 0.234833 | + | 0.722743i | 0.997143 | + | 0.0755310i | \(0.0240652\pi\) |
−0.762310 | + | 0.647212i | \(0.775935\pi\) | |||||||
\(420\) | −24.9208 | + | 4.75531i | −1.21601 | + | 0.232035i | ||||
\(421\) | 7.60100 | − | 23.3935i | 0.370450 | − | 1.14013i | −0.576048 | − | 0.817416i | \(-0.695406\pi\) |
0.946497 | − | 0.322711i | \(-0.104594\pi\) | |||||||
\(422\) | 0.190252 | + | 0.895067i | 0.00926134 | + | 0.0435712i | ||||
\(423\) | 11.5944 | − | 1.21862i | 0.563737 | − | 0.0592511i | ||||
\(424\) | 1.21147 | − | 2.09833i | 0.0588342 | − | 0.101904i | ||||
\(425\) | 35.3486 | − | 11.4976i | 1.71466 | − | 0.557714i | ||||
\(426\) | 1.31308 | 0.0636188 | ||||||||
\(427\) | 25.4019 | − | 10.6750i | 1.22928 | − | 0.516598i | ||||
\(428\) | 20.6625 | + | 6.71364i | 0.998758 | + | 0.324516i | ||||
\(429\) | −6.62515 | + | 1.40822i | −0.319865 | + | 0.0679895i | ||||
\(430\) | 0.0487004 | + | 0.0670085i | 0.00234854 | + | 0.00323144i | ||||
\(431\) | −30.3711 | − | 6.45558i | −1.46292 | − | 0.310954i | −0.593426 | − | 0.804889i | \(-0.702225\pi\) |
−0.869499 | + | 0.493935i | \(0.835558\pi\) | |||||||
\(432\) | −10.0969 | + | 5.82942i | −0.485785 | + | 0.280468i | ||||
\(433\) | −17.2702 | + | 5.61142i | −0.829952 | + | 0.269668i | −0.693025 | − | 0.720914i | \(-0.743722\pi\) |
−0.136927 | + | 0.990581i | \(0.543722\pi\) | |||||||
\(434\) | −0.124581 | − | 0.653433i | −0.00598010 | − | 0.0313658i | ||||
\(435\) | 0.782726 | − | 7.45824i | 0.0375288 | − | 0.357595i | ||||
\(436\) | 3.97738 | + | 1.77085i | 0.190482 | + | 0.0848081i | ||||
\(437\) | −3.46759 | − | 7.78834i | −0.165878 | − | 0.372567i | ||||
\(438\) | 0.612518 | + | 1.37574i | 0.0292672 | + | 0.0657353i | ||||
\(439\) | 34.7604 | + | 15.4763i | 1.65902 | + | 0.738644i | 0.999910 | − | 0.0134020i | \(-0.00426613\pi\) |
0.659111 | + | 0.752046i | \(0.270933\pi\) | |||||||
\(440\) | −0.0613042 | + | 0.584140i | −0.00292256 | + | 0.0278478i | ||||
\(441\) | −11.4054 | − | 0.480306i | −0.543113 | − | 0.0228717i | ||||
\(442\) | −2.43220 | + | 0.790269i | −0.115688 | + | 0.0375893i | ||||
\(443\) | −19.1930 | + | 11.0811i | −0.911889 | + | 0.526479i | −0.881039 | − | 0.473045i | \(-0.843155\pi\) |
−0.0308506 | + | 0.999524i | \(0.509822\pi\) | |||||||
\(444\) | −10.6631 | − | 2.26652i | −0.506050 | − | 0.107564i | ||||
\(445\) | 0.563619 | + | 0.775502i | 0.0267181 | + | 0.0367623i | ||||
\(446\) | 1.68085 | − | 0.357275i | 0.0795904 | − | 0.0169175i | ||||
\(447\) | 32.7876 | + | 10.6534i | 1.55080 | + | 0.503886i | ||||
\(448\) | −2.59781 | + | 20.5473i | −0.122735 | + | 0.970767i | ||||
\(449\) | 3.30017 | 0.155745 | 0.0778724 | − | 0.996963i | \(-0.475187\pi\) | ||||
0.0778724 | + | 0.996963i | \(0.475187\pi\) | |||||||
\(450\) | 0.000214053 | 0.691396i | 1.00906e−5 | 0.0325927i | ||||||
\(451\) | 3.60369 | − | 6.24178i | 0.169691 | − | 0.293914i | ||||
\(452\) | −7.53257 | + | 0.791705i | −0.354302 | + | 0.0372387i | ||||
\(453\) | 5.20139 | + | 24.4706i | 0.244383 | + | 1.14973i | ||||
\(454\) | −0.103988 | + | 0.320042i | −0.00488040 | + | 0.0150203i | ||||
\(455\) | 7.89183 | − | 22.6663i | 0.369975 | − | 1.06261i | ||||
\(456\) | −0.698662 | − | 2.15026i | −0.0327179 | − | 0.100695i | ||||
\(457\) | 28.5706 | − | 16.4953i | 1.33648 | − | 0.771616i | 0.350195 | − | 0.936677i | \(-0.386115\pi\) |
0.986283 | + | 0.165061i | \(0.0527820\pi\) | |||||||
\(458\) | 0.490665 | − | 2.30840i | 0.0229273 | − | 0.107864i | ||||
\(459\) | 20.0110 | − | 8.90949i | 0.934035 | − | 0.415859i | ||||
\(460\) | 11.9747 | + | 2.54337i | 0.558324 | + | 0.118585i | ||||
\(461\) | −4.68414 | + | 3.40323i | −0.218162 | + | 0.158504i | −0.691499 | − | 0.722377i | \(-0.743049\pi\) |
0.473337 | + | 0.880882i | \(0.343049\pi\) | |||||||
\(462\) | −0.123212 | + | 0.353703i | −0.00573233 | + | 0.0164557i | ||||
\(463\) | −6.90966 | + | 9.51033i | −0.321119 | + | 0.441982i | −0.938808 | − | 0.344440i | \(-0.888069\pi\) |
0.617689 | + | 0.786422i | \(0.288069\pi\) | |||||||
\(464\) | −5.63365 | − | 2.50826i | −0.261535 | − | 0.116443i | ||||
\(465\) | 14.2678 | − | 0.00220863i | 0.661654 | − | 0.000102423i | ||||
\(466\) | −0.970711 | + | 0.432189i | −0.0449673 | + | 0.0200207i | ||||
\(467\) | 3.20065 | + | 2.88188i | 0.148108 | + | 0.133357i | 0.739854 | − | 0.672767i | \(-0.234894\pi\) |
−0.591746 | + | 0.806125i | \(0.701561\pi\) | |||||||
\(468\) | 13.1842i | 0.609441i | ||||||||
\(469\) | −24.1173 | − | 34.7076i | −1.11363 | − | 1.60265i | ||||
\(470\) | 1.00743 | + | 0.906812i | 0.0464693 | + | 0.0418281i | ||||
\(471\) | −2.66107 | + | 0.565627i | −0.122615 | + | 0.0260627i | ||||
\(472\) | 1.82084 | − | 1.63949i | 0.0838109 | − | 0.0754637i | ||||
\(473\) | −0.337103 | + | 0.0354309i | −0.0155000 | + | 0.00162911i | ||||
\(474\) | −0.113155 | − | 0.195990i | −0.00519738 | − | 0.00900213i | ||||
\(475\) | −15.1783 | − | 3.22133i | −0.696426 | − | 0.147805i | ||||
\(476\) | 8.95452 | − | 38.1607i | 0.410430 | − | 1.74909i | ||||
\(477\) | 6.85992 | + | 9.44187i | 0.314094 | + | 0.432314i | ||||
\(478\) | 0.166140 | + | 0.781626i | 0.00759906 | + | 0.0357508i | ||||
\(479\) | 7.93617 | + | 8.81401i | 0.362613 | + | 0.402722i | 0.896651 | − | 0.442738i | \(-0.145993\pi\) |
−0.534038 | + | 0.845460i | \(0.679326\pi\) | |||||||
\(480\) | 4.63444 | + | 1.50503i | 0.211532 | + | 0.0686948i | ||||
\(481\) | 6.90066 | − | 7.66396i | 0.314643 | − | 0.349447i | ||||
\(482\) | 0.485247i | 0.0221024i | ||||||||
\(483\) | 14.1520 | + | 6.66114i | 0.643938 | + | 0.303093i | ||||
\(484\) | 16.7640 | + | 12.1797i | 0.761998 | + | 0.553624i | ||||
\(485\) | −3.67992 | − | 4.08569i | −0.167096 | − | 0.185522i | ||||
\(486\) | 0.135901 | + | 1.29301i | 0.00616459 | + | 0.0586521i | ||||
\(487\) | 10.1298 | + | 22.7518i | 0.459023 | + | 1.03098i | 0.983722 | + | 0.179696i | \(0.0575113\pi\) |
−0.524699 | + | 0.851288i | \(0.675822\pi\) | |||||||
\(488\) | −3.50659 | − | 0.368558i | −0.158736 | − | 0.0166838i | ||||
\(489\) | −9.33713 | + | 6.78382i | −0.422240 | + | 0.306775i | ||||
\(490\) | −0.845957 | − | 1.02268i | −0.0382164 | − | 0.0461999i | ||||
\(491\) | −18.5384 | − | 13.4689i | −0.836627 | − | 0.607845i | 0.0847994 | − | 0.996398i | \(-0.472975\pi\) |
−0.921426 | + | 0.388553i | \(0.872975\pi\) | |||||||
\(492\) | −29.6055 | − | 26.6569i | −1.33472 | − | 1.20179i | ||||
\(493\) | 10.0340 | + | 5.79313i | 0.451908 | + | 0.260909i | ||||
\(494\) | 1.04418 | + | 0.221948i | 0.0469799 | + | 0.00998589i | ||||
\(495\) | −2.45032 | − | 1.41419i | −0.110134 | − | 0.0635630i | ||||
\(496\) | 3.62563 | − | 11.1586i | 0.162796 | − | 0.501034i | ||||
\(497\) | −9.17061 | − | 16.6852i | −0.411358 | − | 0.748435i | ||||
\(498\) | 1.06839 | + | 1.47051i | 0.0478757 | + | 0.0658952i | ||||
\(499\) | −5.26953 | − | 9.12710i | −0.235897 | − | 0.408585i | 0.723636 | − | 0.690182i | \(-0.242469\pi\) |
−0.959533 | + | 0.281597i | \(0.909136\pi\) | |||||||
\(500\) | 16.5506 | − | 14.9161i | 0.740164 | − | 0.667069i | ||||
\(501\) | −17.4271 | + | 30.1846i | −0.778585 | + | 1.34855i | ||||
\(502\) | 0.277619 | − | 0.623542i | 0.0123907 | − | 0.0278301i | ||||
\(503\) | −10.4614 | − | 3.39911i | −0.466450 | − | 0.151559i | 0.0663561 | − | 0.997796i | \(-0.478863\pi\) |
−0.532807 | + | 0.846237i | \(0.678863\pi\) | |||||||
\(504\) | 1.24942 | + | 0.756847i | 0.0556537 | + | 0.0337127i | ||||
\(505\) | −18.8964 | + | 10.9137i | −0.840878 | + | 0.485655i | ||||
\(506\) | 0.120931 | − | 0.134308i | 0.00537605 | − | 0.00597071i | ||||
\(507\) | −6.44495 | − | 3.72100i | −0.286230 | − | 0.165255i | ||||
\(508\) | 4.62621 | − | 21.7646i | 0.205255 | − | 0.965648i | ||||
\(509\) | −0.905333 | + | 8.61367i | −0.0401282 | + | 0.381794i | 0.955965 | + | 0.293482i | \(0.0948140\pi\) |
−0.996093 | + | 0.0883123i | \(0.971853\pi\) | |||||||
\(510\) | −2.77123 | − | 1.23332i | −0.122712 | − | 0.0546122i | ||||
\(511\) | 13.2036 | − | 17.3915i | 0.584092 | − | 0.769353i | ||||
\(512\) | 3.93009 | − | 5.40930i | 0.173687 | − | 0.239060i | ||||
\(513\) | −9.09353 | − | 0.955768i | −0.401489 | − | 0.0421982i | ||||
\(514\) | −0.183448 | − | 1.74539i | −0.00809155 | − | 0.0769859i | ||||
\(515\) | −13.0958 | + | 40.3258i | −0.577068 | + | 1.77697i | ||||
\(516\) | −0.195841 | + | 1.86330i | −0.00862142 | + | 0.0820273i | ||||
\(517\) | −5.27489 | + | 1.71392i | −0.231990 | + | 0.0753780i | ||||
\(518\) | −0.164778 | − | 0.545967i | −0.00723992 | − | 0.0239884i | ||||
\(519\) | 8.06116 | + | 24.8097i | 0.353846 | + | 1.08903i | ||||
\(520\) | −2.28207 | + | 2.05543i | −0.100075 | + | 0.0901364i | ||||
\(521\) | −16.0273 | − | 17.8001i | −0.702169 | − | 0.779838i | 0.281550 | − | 0.959546i | \(-0.409151\pi\) |
−0.983720 | + | 0.179708i | \(0.942485\pi\) | |||||||
\(522\) | −0.160152 | + | 0.144202i | −0.00700967 | + | 0.00631154i | ||||
\(523\) | 4.91936 | − | 11.0491i | 0.215109 | − | 0.483142i | −0.773473 | − | 0.633830i | \(-0.781482\pi\) |
0.988581 | + | 0.150688i | \(0.0481487\pi\) | |||||||
\(524\) | −35.3820 | −1.54567 | ||||||||
\(525\) | 24.9432 | − | 13.7195i | 1.08861 | − | 0.598766i | ||||
\(526\) | −0.499568 | −0.0217822 | ||||||||
\(527\) | −8.96600 | + | 20.1380i | −0.390565 | + | 0.877223i | ||||
\(528\) | −4.90941 | + | 4.42045i | −0.213654 | + | 0.192375i | ||||
\(529\) | 10.3399 | + | 11.4836i | 0.449560 | + | 0.499287i | ||||
\(530\) | −0.281911 | + | 1.32730i | −0.0122454 | + | 0.0576540i | ||||
\(531\) | 3.64702 | + | 11.2244i | 0.158267 | + | 0.487096i | ||||
\(532\) | −11.2017 | + | 11.9262i | −0.485655 | + | 0.517066i | ||||
\(533\) | 35.8430 | − | 11.6461i | 1.55253 | − | 0.504449i | ||||
\(534\) | 0.00817732 | − | 0.0778020i | 0.000353867 | − | 0.00336682i | ||||
\(535\) | −24.3778 | + | 0.00377364i | −1.05394 | + | 0.000163149i | ||||
\(536\) | 0.565324 | + | 5.37870i | 0.0244183 | + | 0.232324i | ||||
\(537\) | 19.7952 | + | 2.08056i | 0.854225 | + | 0.0897826i | ||||
\(538\) | −0.724262 | + | 0.996861i | −0.0312251 | + | 0.0429777i | ||||
\(539\) | 5.35500 | − | 0.904632i | 0.230656 | − | 0.0389653i | ||||
\(540\) | 8.78388 | − | 9.75852i | 0.377998 | − | 0.419940i | ||||
\(541\) | 2.90950 | − | 27.6821i | 0.125089 | − | 1.19014i | −0.734301 | − | 0.678824i | \(-0.762490\pi\) |
0.859390 | − | 0.511320i | \(-0.170843\pi\) | |||||||
\(542\) | 0.0379791 | − | 0.178678i | 0.00163134 | − | 0.00767486i | ||||
\(543\) | 38.3399 | + | 22.1356i | 1.64532 | + | 0.949928i | ||||
\(544\) | −5.03741 | + | 5.59462i | −0.215977 | + | 0.239867i | ||||
\(545\) | −4.85856 | − | 0.509895i | −0.208118 | − | 0.0218415i | ||||
\(546\) | −1.71636 | + | 0.943355i | −0.0734535 | + | 0.0403719i | ||||
\(547\) | −4.87470 | − | 1.58389i | −0.208427 | − | 0.0677221i | 0.202943 | − | 0.979191i | \(-0.434950\pi\) |
−0.411370 | + | 0.911469i | \(0.634950\pi\) | |||||||
\(548\) | 7.27096 | − | 16.3308i | 0.310600 | − | 0.697619i | ||||
\(549\) | 8.49177 | − | 14.7082i | 0.362420 | − | 0.627730i | ||||
\(550\) | −0.0684877 | − | 0.321720i | −0.00292033 | − | 0.0137182i | ||||
\(551\) | −2.41820 | − | 4.18844i | −0.103019 | − | 0.178434i | ||||
\(552\) | −1.17647 | − | 1.61927i | −0.0500739 | − | 0.0689208i | ||||
\(553\) | −1.70016 | + | 2.80666i | −0.0722981 | + | 0.119351i | ||||
\(554\) | −0.578053 | + | 1.77906i | −0.0245591 | + | 0.0755852i | ||||
\(555\) | 12.1649 | − | 1.28048i | 0.516370 | − | 0.0543534i | ||||
\(556\) | 31.9081 | + | 6.78227i | 1.35320 | + | 0.287633i | ||||
\(557\) | 14.5530 | + | 8.40216i | 0.616629 | + | 0.356011i | 0.775555 | − | 0.631279i | \(-0.217470\pi\) |
−0.158926 | + | 0.987290i | \(0.550803\pi\) | |||||||
\(558\) | −0.304702 | − | 0.274355i | −0.0128991 | − | 0.0116144i | ||||
\(559\) | −1.43392 | − | 1.04181i | −0.0606485 | − | 0.0440637i | ||||
\(560\) | −4.38775 | − | 22.9945i | −0.185416 | − | 0.971696i | ||||
\(561\) | 10.0415 | − | 7.29555i | 0.423951 | − | 0.308018i | ||||
\(562\) | −0.561075 | − | 0.0589713i | −0.0236675 | − | 0.00248756i | ||||
\(563\) | 2.22006 | + | 4.98634i | 0.0935644 | + | 0.210149i | 0.954265 | − | 0.298963i | \(-0.0966406\pi\) |
−0.860700 | + | 0.509112i | \(0.829974\pi\) | |||||||
\(564\) | 3.20452 | + | 30.4890i | 0.134935 | + | 1.28382i | ||||
\(565\) | 7.76334 | − | 3.45790i | 0.326606 | − | 0.145475i | ||||
\(566\) | −1.14982 | − | 0.835390i | −0.0483304 | − | 0.0351141i | ||||
\(567\) | 24.4058 | − | 16.9589i | 1.02495 | − | 0.712205i | ||||
\(568\) | 2.43636i | 0.102227i | ||||||||
\(569\) | 23.1097 | − | 25.6660i | 0.968811 | − | 1.07597i | −0.0282682 | − | 0.999600i | \(-0.508999\pi\) |
0.997079 | − | 0.0763733i | \(-0.0243341\pi\) | |||||||
\(570\) | 0.744394 | + | 1.02424i | 0.0311792 | + | 0.0429005i | ||||
\(571\) | 4.31818 | + | 4.79582i | 0.180710 | + | 0.200699i | 0.826693 | − | 0.562653i | \(-0.190219\pi\) |
−0.645983 | + | 0.763351i | \(0.723552\pi\) | |||||||
\(572\) | −1.30409 | − | 6.13528i | −0.0545269 | − | 0.256529i | ||||
\(573\) | −10.6360 | − | 14.6392i | −0.444326 | − | 0.611562i | ||||
\(574\) | 0.476105 | − | 2.02897i | 0.0198722 | − | 0.0846877i | ||||
\(575\) | −13.6605 | + | 1.44005i | −0.569682 | + | 0.0600543i | ||||
\(576\) | 6.38286 | + | 11.0554i | 0.265952 | + | 0.460643i | ||||
\(577\) | −2.45886 | + | 0.258436i | −0.102364 | + | 0.0107588i | −0.155572 | − | 0.987825i | \(-0.549722\pi\) |
0.0532082 | + | 0.998583i | \(0.483055\pi\) | |||||||
\(578\) | 2.41145 | − | 2.17128i | 0.100303 | − | 0.0903135i | ||||
\(579\) | −16.1015 | + | 3.42249i | −0.669158 | + | 0.142234i | ||||
\(580\) | 6.90677 | + | 0.724850i | 0.286788 | + | 0.0300978i | ||||
\(581\) | 11.2240 | − | 23.8461i | 0.465651 | − | 0.989303i | ||||
\(582\) | 0.448699i | 0.0185992i | ||||||||
\(583\) | −4.12619 | − | 3.71524i | −0.170889 | − | 0.153869i | ||||
\(584\) | −2.55262 | + | 1.13650i | −0.105628 | + | 0.0470288i | ||||
\(585\) | −4.57365 | − | 14.0688i | −0.189097 | − | 0.581675i | ||||
\(586\) | 1.31386 | + | 0.584967i | 0.0542750 | + | 0.0241648i | ||||
\(587\) | −10.9768 | + | 15.1083i | −0.453061 | + | 0.623585i | −0.973052 | − | 0.230587i | \(-0.925935\pi\) |
0.519990 | + | 0.854172i | \(0.325935\pi\) | |||||||
\(588\) | 1.26303 | − | 29.9921i | 0.0520866 | − | 1.23685i | ||||
\(589\) | 7.44426 | − | 5.40857i | 0.306736 | − | 0.222856i | ||||
\(590\) | −0.685895 | + | 1.18843i | −0.0282379 | + | 0.0489269i | ||||
\(591\) | −14.7733 | + | 6.57748i | −0.607691 | + | 0.270562i | ||||
\(592\) | 2.09133 | − | 9.83894i | 0.0859532 | − | 0.404378i | ||||
\(593\) | −2.53825 | + | 1.46546i | −0.104234 | + | 0.0601793i | −0.551211 | − | 0.834366i | \(-0.685834\pi\) |
0.446977 | + | 0.894545i | \(0.352501\pi\) | |||||||
\(594\) | −0.0598981 | − | 0.184348i | −0.00245765 | − | 0.00756387i | ||||
\(595\) | 3.68273 | + | 43.8275i | 0.150977 | + | 1.79675i | ||||
\(596\) | −9.86563 | + | 30.3633i | −0.404112 | + | 1.24373i | ||||
\(597\) | 7.63530 | + | 35.9213i | 0.312492 | + | 1.47016i | ||||
\(598\) | 0.939859 | − | 0.0987832i | 0.0384337 | − | 0.00403955i | ||||
\(599\) | 16.8689 | − | 29.2178i | 0.689244 | − | 1.19381i | −0.282838 | − | 0.959168i | \(-0.591276\pi\) |
0.972083 | − | 0.234639i | \(-0.0753907\pi\) | |||||||
\(600\) | −3.64281 | + | 0.00112780i | −0.148717 | + | 4.60422e-5i | ||||
\(601\) | 40.4067 | 1.64823 | 0.824113 | − | 0.566426i | \(-0.191674\pi\) | ||||
0.824113 | + | 0.566426i | \(0.191674\pi\) | |||||||
\(602\) | −0.0903587 | + | 0.0379727i | −0.00368274 | + | 0.00154765i | ||||
\(603\) | −24.7757 | − | 8.05013i | −1.00895 | − | 0.327827i | ||||
\(604\) | −22.6612 | + | 4.81679i | −0.922072 | + | 0.195993i | ||||
\(605\) | −22.1139 | − | 7.18147i | −0.899059 | − | 0.291968i | ||||
\(606\) | 1.74178 | + | 0.370227i | 0.0707551 | + | 0.0150395i | ||||
\(607\) | −13.2753 | + | 7.66453i | −0.538830 | + | 0.311093i | −0.744605 | − | 0.667506i | \(-0.767362\pi\) |
0.205775 | + | 0.978599i | \(0.434029\pi\) | |||||||
\(608\) | 2.98870 | − | 0.971087i | 0.121208 | − | 0.0393828i | ||||
\(609\) | 8.37933 | + | 2.91893i | 0.339548 | + | 0.118281i | ||||
\(610\) | 1.93138 | − | 0.410839i | 0.0781992 | − | 0.0166344i | ||||
\(611\) | −26.4947 | − | 11.7962i | −1.07186 | − | 0.477222i | ||||
\(612\) | −9.82689 | − | 22.0715i | −0.397228 | − | 0.892189i | ||||
\(613\) | 1.22232 | + | 2.74537i | 0.0493690 | + | 0.110885i | 0.936546 | − | 0.350545i | \(-0.114003\pi\) |
−0.887177 | + | 0.461429i | \(0.847337\pi\) | |||||||
\(614\) | 1.61891 | + | 0.720784i | 0.0653338 | + | 0.0290885i | ||||
\(615\) | 40.8393 | + | 18.1753i | 1.64680 | + | 0.732897i | ||||
\(616\) | −0.656281 | − | 0.228614i | −0.0264423 | − | 0.00921114i | ||||
\(617\) | 14.8106 | − | 4.81227i | 0.596254 | − | 0.193735i | 0.00468490 | − | 0.999989i | \(-0.498509\pi\) |
0.591569 | + | 0.806254i | \(0.298509\pi\) | |||||||
\(618\) | 2.99632 | − | 1.72993i | 0.120530 | − | 0.0695879i | ||||
\(619\) | −23.1061 | − | 4.91136i | −0.928713 | − | 0.197404i | −0.281367 | − | 0.959600i | \(-0.590788\pi\) |
−0.647346 | + | 0.762196i | \(0.724121\pi\) | |||||||
\(620\) | 0.00204532 | + | 13.2128i | 8.21421e−5 | + | 0.530640i | ||||
\(621\) | −7.91771 | + | 1.68296i | −0.317727 | + | 0.0675349i | ||||
\(622\) | 1.71536 | + | 0.557355i | 0.0687797 | + | 0.0223479i | ||||
\(623\) | −1.04574 | + | 0.439465i | −0.0418966 | + | 0.0176068i | ||||
\(624\) | −34.5443 | −1.38288 | ||||||||
\(625\) | −12.4866 | + | 21.6584i | −0.499464 | + | 0.866335i | ||||
\(626\) | 0.378702 | − | 0.655932i | 0.0151360 | − | 0.0262163i | ||||
\(627\) | −5.15267 | + | 0.541567i | −0.205778 | + | 0.0216281i | ||||
\(628\) | −0.523804 | − | 2.46430i | −0.0209020 | − | 0.0983364i | ||||
\(629\) | −5.83996 | + | 17.9736i | −0.232855 | + | 0.716653i | ||||
\(630\) | −0.796466 | − | 0.186763i | −0.0317320 | − | 0.00744083i | ||||
\(631\) | −3.61511 | − | 11.1262i | −0.143915 | − | 0.442926i | 0.852955 | − | 0.521985i | \(-0.174808\pi\) |
−0.996870 | + | 0.0790592i | \(0.974808\pi\) | |||||||
\(632\) | 0.363652 | − | 0.209954i | 0.0144653 | − | 0.00835154i | ||||
\(633\) | 4.82833 | − | 22.7155i | 0.191909 | − | 0.902861i | ||||
\(634\) | −2.62891 | + | 1.17047i | −0.104407 | + | 0.0464851i | ||||
\(635\) | 2.61360 | + | 24.8298i | 0.103718 | + | 0.985339i | ||||
\(636\) | −24.8287 | + | 18.0391i | −0.984524 | + | 0.715298i | ||||
\(637\) | 23.9743 | + | 15.2213i | 0.949898 | + | 0.603089i | ||||
\(638\) | 0.0602634 | − | 0.0829454i | 0.00238585 | − | 0.00328384i | ||||
\(639\) | −10.7209 | − | 4.77324i | −0.424111 | − | 0.188826i | ||||
\(640\) | −1.85720 | + | 5.71888i | −0.0734122 | + | 0.226059i | ||||
\(641\) | −2.87946 | + | 1.28202i | −0.113732 | + | 0.0506367i | −0.462814 | − | 0.886456i | \(-0.653160\pi\) |
0.349082 | + | 0.937092i | \(0.386493\pi\) | |||||||
\(642\) | 1.47833 | + | 1.33109i | 0.0583449 | + | 0.0525340i | ||||
\(643\) | 3.69904i | 0.145876i | 0.997336 | + | 0.0729380i | \(0.0232375\pi\) | ||||
−0.997336 | + | 0.0729380i | \(0.976762\pi\) | |||||||
\(644\) | −6.16861 | + | 13.1056i | −0.243077 | + | 0.516432i | ||||
\(645\) | −0.437405 | − | 2.05626i | −0.0172228 | − | 0.0809652i | ||||
\(646\) | −1.91348 | + | 0.406723i | −0.0752848 | + | 0.0160023i | ||||
\(647\) | 0.454289 | − | 0.409043i | 0.0178599 | − | 0.0160812i | −0.660152 | − | 0.751132i | \(-0.729508\pi\) |
0.678012 | + | 0.735051i | \(0.262842\pi\) | |||||||
\(648\) | −3.78220 | + | 0.397526i | −0.148579 | + | 0.0156163i | ||||
\(649\) | −2.80738 | − | 4.86252i | −0.110199 | − | 0.190871i | ||||
\(650\) | 0.859527 | − | 1.48981i | 0.0337134 | − | 0.0584351i | ||||
\(651\) | −3.85664 | + | 16.4355i | −0.151154 | + | 0.644157i | ||||
\(652\) | −6.28222 | − | 8.64674i | −0.246031 | − | 0.338632i | ||||
\(653\) | 3.45600 | + | 16.2592i | 0.135244 | + | 0.636273i | 0.992588 | + | 0.121529i | \(0.0387797\pi\) |
−0.857344 | + | 0.514744i | \(0.827887\pi\) | |||||||
\(654\) | 0.266747 | + | 0.296253i | 0.0104306 | + | 0.0115844i | ||||
\(655\) | 37.7559 | − | 12.2741i | 1.47525 | − | 0.479589i | ||||
\(656\) | 24.5965 | − | 27.3172i | 0.960332 | − | 1.06656i | ||||
\(657\) | − | 13.4591i | − | 0.525088i | ||||||
\(658\) | −1.31703 | + | 0.915168i | −0.0513433 | + | 0.0356770i | ||||
\(659\) | −15.6313 | − | 11.3568i | −0.608908 | − | 0.442397i | 0.240122 | − | 0.970743i | \(-0.422813\pi\) |
−0.849030 | + | 0.528345i | \(0.822813\pi\) | |||||||
\(660\) | 3.71881 | − | 6.44346i | 0.144754 | − | 0.250811i | ||||
\(661\) | 1.66232 | + | 15.8159i | 0.0646567 | + | 0.615168i | 0.978090 | + | 0.208180i | \(0.0667541\pi\) |
−0.913434 | + | 0.406987i | \(0.866579\pi\) | |||||||
\(662\) | −0.0448486 | − | 0.100732i | −0.00174309 | − | 0.00391505i | ||||
\(663\) | 64.5467 | + | 6.78413i | 2.50679 | + | 0.263474i | ||||
\(664\) | −2.72847 | + | 1.98235i | −0.105885 | + | 0.0769302i | ||||
\(665\) | 7.81604 | − | 16.6123i | 0.303093 | − | 0.644197i | ||||
\(666\) | −0.284382 | − | 0.206616i | −0.0110196 | − | 0.00800619i | ||||
\(667\) | −3.18180 | − | 2.86490i | −0.123200 | − | 0.110929i | ||||
\(668\) | −27.9527 | − | 16.1385i | −1.08152 | − | 0.624418i | ||||
\(669\) | −42.6575 | − | 9.06712i | −1.64923 | − | 0.350555i | ||||
\(670\) | −1.23235 | − | 2.76675i | −0.0476097 | − | 0.106889i | ||||
\(671\) | −2.49681 | + | 7.68440i | −0.0963884 | + | 0.296653i | ||||
\(672\) | −2.98715 | + | 4.93126i | −0.115232 | + | 0.190227i | ||||
\(673\) | −21.9315 | − | 30.1862i | −0.845399 | − | 1.16359i | −0.984858 | − | 0.173364i | \(-0.944536\pi\) |
0.139459 | − | 0.990228i | \(-0.455464\pi\) | |||||||
\(674\) | 0.469372 | + | 0.812976i | 0.0180795 | + | 0.0313147i | ||||
\(675\) | −5.98798 | + | 13.4604i | −0.230477 | + | 0.518092i | ||||
\(676\) | 3.44586 | − | 5.96841i | 0.132533 | − | 0.229554i | ||||
\(677\) | −5.26986 | + | 11.8363i | −0.202537 | + | 0.454906i | −0.986046 | − | 0.166475i | \(-0.946761\pi\) |
0.783509 | + | 0.621381i | \(0.213428\pi\) | |||||||
\(678\) | −0.659564 | − | 0.214305i | −0.0253304 | − | 0.00823035i | ||||
\(679\) | 5.70159 | − | 3.13374i | 0.218807 | − | 0.120262i | ||||
\(680\) | 2.28837 | − | 5.14191i | 0.0877550 | − | 0.197183i | ||||
\(681\) | 5.71451 | − | 6.34661i | 0.218980 | − | 0.243202i | ||||
\(682\) | 0.168930 | + | 0.0975320i | 0.00646868 | + | 0.00373469i | ||||
\(683\) | −7.63460 | + | 35.9180i | −0.292130 | + | 1.37436i | 0.550034 | + | 0.835142i | \(0.314615\pi\) |
−0.842164 | + | 0.539221i | \(0.818719\pi\) | |||||||
\(684\) | −1.05418 | + | 10.0299i | −0.0403077 | + | 0.383502i | ||||
\(685\) | −2.09359 | + | 19.9489i | −0.0799920 | + | 0.762208i | ||||
\(686\) | 1.40682 | − | 0.697829i | 0.0537128 | − | 0.0266432i | ||||
\(687\) | −35.2040 | + | 48.4542i | −1.34312 | + | 1.84864i | ||||
\(688\) | −1.71928 | − | 0.180704i | −0.0655470 | − | 0.00688926i | ||||
\(689\) | −3.03481 | − | 28.8742i | −0.115617 | − | 1.10002i | ||||
\(690\) | 0.906932 | + | 0.658710i | 0.0345263 | + | 0.0250767i | ||||
\(691\) | −4.22227 | + | 40.1722i | −0.160623 | + | 1.52822i | 0.556248 | + | 0.831016i | \(0.312240\pi\) |
−0.716871 | + | 0.697206i | \(0.754426\pi\) | |||||||
\(692\) | −22.9753 | + | 7.46511i | −0.873388 | + | 0.283781i | ||||
\(693\) | 2.29175 | − | 2.43998i | 0.0870563 | − | 0.0926870i | ||||
\(694\) | 0.0420022 | + | 0.129269i | 0.00159438 | + | 0.00490700i | ||||
\(695\) | −36.4018 | + | 3.83168i | −1.38080 | + | 0.145344i | ||||
\(696\) | −0.759766 | − | 0.843806i | −0.0287989 | − | 0.0319844i | ||||
\(697\) | −51.3239 | + | 46.2123i | −1.94403 | + | 1.75041i | ||||
\(698\) | 0.540379 | − | 1.21371i | 0.0204536 | − | 0.0459396i | ||||
\(699\) | 26.9667 | 1.01997 | ||||||||
\(700\) | 12.7050 | + | 23.0989i | 0.480205 | + | 0.873056i | ||||
\(701\) | 13.5383 | 0.511334 | 0.255667 | − | 0.966765i | \(-0.417705\pi\) | ||||
0.255667 | + | 0.966765i | \(0.417705\pi\) | |||||||
\(702\) | 0.412254 | − | 0.925938i | 0.0155595 | − | 0.0349473i | ||||
\(703\) | 5.86246 | − | 5.27858i | 0.221107 | − | 0.199086i | ||||
\(704\) | −4.06379 | − | 4.51330i | −0.153160 | − | 0.170101i | ||||
\(705\) | −13.9963 | − | 31.4230i | −0.527130 | − | 1.18346i | ||||
\(706\) | 0.401929 | + | 1.23701i | 0.0151268 | + | 0.0465555i | ||||
\(707\) | −7.46025 | − | 24.7184i | −0.280571 | − | 0.929632i | ||||
\(708\) | −29.5161 | + | 9.59035i | −1.10928 | + | 0.360428i | ||||
\(709\) | 3.95494 | − | 37.6287i | 0.148531 | − | 1.41318i | −0.625596 | − | 0.780147i | \(-0.715144\pi\) |
0.774127 | − | 0.633030i | \(-0.218189\pi\) | |||||||
\(710\) | −0.421830 | − | 1.29758i | −0.0158310 | − | 0.0486972i | ||||
\(711\) | 0.211421 | + | 2.01153i | 0.00792889 | + | 0.0754384i | ||||
\(712\) | 0.144359 | + | 0.0151727i | 0.00541006 | + | 0.000568621i | ||||
\(713\) | 4.78806 | − | 6.59020i | 0.179314 | − | 0.246805i | ||||
\(714\) | 2.17021 | − | 2.85855i | 0.0812180 | − | 0.106979i | ||||
\(715\) | 3.51994 | + | 6.09454i | 0.131638 | + | 0.227923i | ||||
\(716\) | −1.92672 | + | 18.3315i | −0.0720048 | + | 0.685080i | ||||
\(717\) | 4.21639 | − | 19.8366i | 0.157464 | − | 0.740810i | ||||
\(718\) | −2.03056 | − | 1.17235i | −0.0757800 | − | 0.0437516i | ||||
\(719\) | 4.63402 | − | 5.14660i | 0.172820 | − | 0.191936i | −0.650512 | − | 0.759496i | \(-0.725446\pi\) |
0.823332 | + | 0.567560i | \(0.192112\pi\) | |||||||
\(720\) | −10.7244 | − | 9.65326i | −0.399674 | − | 0.359756i | ||||
\(721\) | −42.9086 | − | 25.9922i | −1.59800 | − | 0.968001i | ||||
\(722\) | −0.755604 | − | 0.245511i | −0.0281207 | − | 0.00913696i | ||||
\(723\) | 5.00891 | − | 11.2502i | 0.186283 | − | 0.418399i | ||||
\(724\) | −20.4988 | + | 35.5050i | −0.761834 | + | 1.31953i | ||||
\(725\) | −7.62165 | + | 1.62250i | −0.283061 | + | 0.0602580i | ||||
\(726\) | 0.948659 | + | 1.64313i | 0.0352081 | + | 0.0609821i | ||||
\(727\) | −2.38367 | − | 3.28084i | −0.0884055 | − | 0.121680i | 0.762523 | − | 0.646961i | \(-0.223960\pi\) |
−0.850929 | + | 0.525281i | \(0.823960\pi\) | |||||||
\(728\) | −1.75036 | − | 3.18464i | −0.0648725 | − | 0.118031i | ||||
\(729\) | −0.217300 | + | 0.668780i | −0.00804814 | + | 0.0247696i | ||||
\(730\) | 1.16272 | − | 1.04725i | 0.0430343 | − | 0.0387603i | ||||
\(731\) | 3.17702 | + | 0.675297i | 0.117506 | + | 0.0249768i | ||||
\(732\) | 38.6773 | + | 22.3303i | 1.42955 | + | 0.825353i | ||||
\(733\) | −6.24607 | − | 5.62399i | −0.230704 | − | 0.207727i | 0.545669 | − | 0.838001i | \(-0.316276\pi\) |
−0.776372 | + | 0.630274i | \(0.782942\pi\) | |||||||
\(734\) | −1.22588 | − | 0.890652i | −0.0452479 | − | 0.0328746i | ||||
\(735\) | 9.05657 | + | 32.4426i | 0.334057 | + | 1.19666i | ||||
\(736\) | 2.25066 | − | 1.63520i | 0.0829605 | − | 0.0602743i | ||||
\(737\) | 12.3257 | + | 1.29548i | 0.454021 | + | 0.0477196i | ||||
\(738\) | −0.522488 | − | 1.17353i | −0.0192330 | − | 0.0431981i | ||||
\(739\) | −0.641211 | − | 6.10072i | −0.0235873 | − | 0.224419i | −0.999965 | − | 0.00834826i | \(-0.997343\pi\) |
0.976378 | − | 0.216070i | \(-0.0693240\pi\) | |||||||
\(740\) | 1.18580 | + | 11.2654i | 0.0435910 | + | 0.414124i | ||||
\(741\) | −21.9178 | − | 15.9242i | −0.805169 | − | 0.584990i | ||||
\(742\) | −1.45264 | − | 0.683738i | −0.0533281 | − | 0.0251008i | ||||
\(743\) | − | 35.3297i | − | 1.29612i | −0.761589 | − | 0.648060i | \(-0.775581\pi\) | ||
0.761589 | − | 0.648060i | \(-0.224419\pi\) | |||||||
\(744\) | 1.44551 | − | 1.60541i | 0.0529951 | − | 0.0588570i | ||||
\(745\) | −0.00554533 | − | 35.8230i | −0.000203165 | − | 1.31245i | ||||
\(746\) | 0.00443855 | + | 0.00492950i | 0.000162507 | + | 0.000180482i | ||||
\(747\) | −3.37753 | − | 15.8900i | −0.123577 | − | 0.581385i | ||||
\(748\) | 6.75611 | + | 9.29898i | 0.247028 | + | 0.340005i | ||||
\(749\) | 6.58940 | − | 28.0815i | 0.240772 | − | 1.02607i | ||||
\(750\) | 1.93992 | − | 0.631313i | 0.0708358 | − | 0.0230523i | ||||
\(751\) | −9.54473 | − | 16.5320i | −0.348292 | − | 0.603260i | 0.637654 | − | 0.770323i | \(-0.279905\pi\) |
−0.985946 | + | 0.167063i | \(0.946572\pi\) | |||||||
\(752\) | −28.1324 | + | 2.95683i | −1.02588 | + | 0.107825i | ||||
\(753\) | −12.8729 | + | 11.5908i | −0.469114 | + | 0.422393i | ||||
\(754\) | 0.524397 | − | 0.111464i | 0.0190974 | − | 0.00405928i | ||||
\(755\) | 22.5108 | − | 13.0012i | 0.819250 | − | 0.473163i | ||||
\(756\) | 8.86482 | + | 12.7575i | 0.322410 | + | 0.463987i | ||||
\(757\) | 40.0568i | 1.45589i | 0.685636 | + | 0.727945i | \(0.259524\pi\) | ||||
−0.685636 | + | 0.727945i | \(0.740476\pi\) | |||||||
\(758\) | −0.758551 | − | 0.683002i | −0.0275518 | − | 0.0248078i | ||||
\(759\) | −4.19011 | + | 1.86556i | −0.152091 | + | 0.0677154i | ||||
\(760\) | −1.90043 | + | 1.38119i | −0.0689358 | + | 0.0501011i | ||||
\(761\) | 49.9749 | + | 22.2503i | 1.81159 | + | 0.806571i | 0.958665 | + | 0.284536i | \(0.0918394\pi\) |
0.852924 | + | 0.522036i | \(0.174827\pi\) | |||||||
\(762\) | 1.19753 | − | 1.64826i | 0.0433819 | − | 0.0597101i | ||||
\(763\) | 1.90149 | − | 5.45859i | 0.0688386 | − | 0.197614i | ||||
\(764\) | 13.5568 | − | 9.84958i | 0.490467 | − | 0.356345i | ||||
\(765\) | 18.1429 | + | 20.1435i | 0.655959 | + | 0.728289i | ||||
\(766\) | 1.53183 | − | 0.682014i | 0.0553472 | − | 0.0246421i | ||||
\(767\) | 6.10422 | − | 28.7181i | 0.220411 | − | 1.03695i | ||||
\(768\) | −28.7518 | + | 16.5999i | −1.03749 | + | 0.598996i | ||||
\(769\) | 7.75410 | + | 23.8647i | 0.279620 | + | 0.860582i | 0.987960 | + | 0.154711i | \(0.0494445\pi\) |
−0.708340 | + | 0.705872i | \(0.750556\pi\) | |||||||
\(770\) | 0.389109 | + | 0.00812924i | 0.0140225 | + | 0.000292957i | ||||
\(771\) | −13.7635 | + | 42.3596i | −0.495679 | + | 1.52554i | ||||
\(772\) | −3.16943 | − | 14.9110i | −0.114070 | − | 0.536658i | ||||
\(773\) | −1.38972 | + | 0.146066i | −0.0499848 | + | 0.00525361i | −0.129488 | − | 0.991581i | \(-0.541333\pi\) |
0.0795031 | + | 0.996835i | \(0.474667\pi\) | |||||||
\(774\) | −0.0302067 | + | 0.0523195i | −0.00108576 | + | 0.00188058i | ||||
\(775\) | −4.58576 | − | 14.0987i | −0.164725 | − | 0.506439i | ||||
\(776\) | −0.832542 | −0.0298865 | ||||||||
\(777\) | −1.81540 | + | 14.3589i | −0.0651272 | + | 0.515122i | ||||
\(778\) | −0.856783 | − | 0.278386i | −0.0307172 | − | 0.00998061i | ||||
\(779\) | 28.1987 | − | 5.99382i | 1.01032 | − | 0.214751i | ||||
\(780\) | 36.9960 | − | 12.0271i | 1.32467 | − | 0.430638i | ||||
\(781\) | 5.46109 | + | 1.16079i | 0.195413 | + | 0.0415363i | ||||
\(782\) | −1.49978 | + | 0.865897i | −0.0536319 | + | 0.0309644i | ||||
\(783\) | −4.36725 | + | 1.41901i | −0.156073 | + | 0.0507112i | ||||
\(784\) | 27.6739 | + | 1.16541i | 0.988352 | + | 0.0416217i | ||||
\(785\) | 1.41382 | + | 2.44794i | 0.0504615 | + | 0.0873707i | ||||
\(786\) | −2.95960 | − | 1.31770i | −0.105566 | − | 0.0470008i | ||||
\(787\) | 2.79129 | + | 6.26935i | 0.0994988 | + | 0.223478i | 0.956436 | − | 0.291944i | \(-0.0943020\pi\) |
−0.856937 | + | 0.515422i | \(0.827635\pi\) | |||||||
\(788\) | −6.09114 | − | 13.6809i | −0.216988 | − | 0.487363i | ||||
\(789\) | 11.5822 | + | 5.15674i | 0.412338 | + | 0.183585i | ||||
\(790\) | −0.157325 | + | 0.174782i | −0.00559737 | + | 0.00621845i | ||||
\(791\) | 1.88326 | + | 9.87777i | 0.0669612 | + | 0.351213i | ||||
\(792\) | −0.407393 | + | 0.132370i | −0.0144761 | + | 0.00470356i | ||||
\(793\) | −36.5894 | + | 21.1249i | −1.29933 | + | 0.750167i | ||||
\(794\) | 0.153010 | + | 0.0325234i | 0.00543013 | + | 0.00115421i | ||||
\(795\) | 20.2368 | − | 27.8627i | 0.717726 | − | 0.988187i | ||||
\(796\) | −33.2652 | + | 7.07074i | −1.17905 | + | 0.250616i | ||||
\(797\) | 2.72263 | + | 0.884636i | 0.0964405 | + | 0.0313354i | 0.356840 | − | 0.934166i | \(-0.383854\pi\) |
−0.260399 | + | 0.965501i | \(0.583854\pi\) | |||||||
\(798\) | −1.38115 | + | 0.580419i | −0.0488921 | + | 0.0205466i | ||||
\(799\) | 53.1466 | 1.88019 | ||||||||
\(800\) | −0.00156755 | − | 5.06322i | −5.54213e−5 | − | 0.179012i | ||||
\(801\) | −0.349587 | + | 0.605503i | −0.0123521 | + | 0.0213944i | ||||
\(802\) | −2.58037 | + | 0.271208i | −0.0911160 | + | 0.00957667i | ||||
\(803\) | 1.33128 | + | 6.26317i | 0.0469798 | + | 0.221022i | ||||
\(804\) | 21.1690 | − | 65.1513i | 0.746571 | − | 2.29771i | ||||
\(805\) | 2.03614 | − | 16.1248i | 0.0717644 | − | 0.568325i | ||||
\(806\) | 0.315196 | + | 0.970072i | 0.0111023 | + | 0.0341693i | ||||
\(807\) | 27.0816 | − | 15.6356i | 0.953318 | − | 0.550398i | ||||
\(808\) | −0.686941 | + | 3.23181i | −0.0241665 | + | 0.113695i | ||||
\(809\) | −37.5523 | + | 16.7194i | −1.32027 | + | 0.587822i | −0.941295 | − | 0.337586i | \(-0.890390\pi\) |
−0.378974 | + | 0.925407i | \(0.623723\pi\) | |||||||
\(810\) | 1.94553 | − | 0.866565i | 0.0683588 | − | 0.0304480i | ||||
\(811\) | −25.6236 | + | 18.6166i | −0.899765 | + | 0.653717i | −0.938406 | − | 0.345536i | \(-0.887697\pi\) |
0.0386408 | + | 0.999253i | \(0.487697\pi\) | |||||||
\(812\) | −2.70310 | + | 7.75975i | −0.0948602 | + | 0.272314i | ||||
\(813\) | −2.72491 | + | 3.75051i | −0.0955666 | + | 0.131536i | ||||
\(814\) | 0.152774 | + | 0.0680194i | 0.00535473 | + | 0.00238408i | ||||
\(815\) | 9.70332 | + | 7.04758i | 0.339892 | + | 0.246866i | ||||
\(816\) | 57.8301 | − | 25.7476i | 2.02446 | − | 0.901347i | ||||
\(817\) | −1.00755 | − | 0.907206i | −0.0352499 | − | 0.0317391i | ||||
\(818\) | 1.52774i | 0.0534160i | ||||||||
\(819\) | 17.4428 | − | 1.46296i | 0.609500 | − | 0.0511199i | ||||
\(820\) | −16.8314 | + | 37.8196i | −0.587777 | + | 1.32072i | ||||
\(821\) | −25.8415 | + | 5.49277i | −0.901873 | + | 0.191699i | −0.635436 | − | 0.772153i | \(-0.719180\pi\) |
−0.266437 | + | 0.963852i | \(0.585846\pi\) | |||||||
\(822\) | 1.21639 | − | 1.09524i | 0.0424265 | − | 0.0382010i | ||||
\(823\) | 3.21249 | − | 0.337646i | 0.111980 | − | 0.0117696i | −0.0483725 | − | 0.998829i | \(-0.515403\pi\) |
0.160353 | + | 0.987060i | \(0.448737\pi\) | |||||||
\(824\) | 3.20981 | + | 5.55955i | 0.111819 | + | 0.193676i | ||||
\(825\) | −1.73307 | + | 8.16586i | −0.0603376 | + | 0.284299i | ||||
\(826\) | −1.18341 | − | 1.11152i | −0.0411762 | − | 0.0386748i | ||||
\(827\) | −9.11378 | − | 12.5440i | −0.316917 | − | 0.436199i | 0.620606 | − | 0.784123i | \(-0.286887\pi\) |
−0.937523 | + | 0.347924i | \(0.886887\pi\) | |||||||
\(828\) | 1.85625 | + | 8.73299i | 0.0645093 | + | 0.303492i | ||||
\(829\) | 1.57648 | + | 1.75086i | 0.0547536 | + | 0.0608100i | 0.769899 | − | 0.638165i | \(-0.220306\pi\) |
−0.715146 | + | 0.698975i | \(0.753640\pi\) | |||||||
\(830\) | 1.10993 | − | 1.52818i | 0.0385262 | − | 0.0530440i | ||||
\(831\) | 31.7660 | − | 35.2798i | 1.10195 | − | 1.22384i | ||||
\(832\) | − | 31.7571i | − | 1.10098i | ||||||
\(833\) | −51.4803 | − | 7.61245i | −1.78369 | − | 0.263756i | ||||
\(834\) | 2.41644 | + | 1.75564i | 0.0836744 | + | 0.0607930i | ||||
\(835\) | 35.4267 | + | 7.52445i | 1.22599 | + | 0.260394i | ||||
\(836\) | −0.501523 | − | 4.77168i | −0.0173455 | − | 0.165032i | ||||
\(837\) | −3.55351 | − | 7.98131i | −0.122827 | − | 0.275875i | ||||
\(838\) | −1.31177 | − | 0.137873i | −0.0453145 | − | 0.00476275i | ||||
\(839\) | 33.7673 | − | 24.5334i | 1.16578 | − | 0.846986i | 0.175280 | − | 0.984519i | \(-0.443917\pi\) |
0.990497 | + | 0.137532i | \(0.0439171\pi\) | |||||||
\(840\) | 0.984013 | − | 4.19640i | 0.0339517 | − | 0.144790i | ||||
\(841\) | 21.4965 | + | 15.6181i | 0.741258 | + | 0.538556i | ||||
\(842\) | 1.54996 | + | 1.39559i | 0.0534153 | + | 0.0480954i | ||||
\(843\) | 12.3995 | + | 7.15885i | 0.427061 | + | 0.246564i | ||||
\(844\) | 21.0359 | + | 4.47132i | 0.724086 | + | 0.153909i | ||||
\(845\) | −1.60661 | + | 7.56425i | −0.0552689 | + | 0.260218i | ||||
\(846\) | −0.305474 | + | 0.940153i | −0.0105024 | + | 0.0323231i | ||||
\(847\) | 14.2536 | − | 23.5303i | 0.489761 | − | 0.808509i | ||||
\(848\) | −16.6448 | − | 22.9096i | −0.571585 | − | 0.786720i | ||||
\(849\) | 18.0347 | + | 31.2369i | 0.618948 | + | 1.07205i | ||||
\(850\) | −0.328491 | + | 3.13472i | −0.0112672 | + | 0.107520i | ||||
\(851\) | 3.49183 | − | 6.04803i | 0.119699 | − | 0.207324i | ||||
\(852\) | 12.5519 | − | 28.1920i | 0.430021 | − | 0.965843i | ||||
\(853\) | 37.9443 | + | 12.3288i | 1.29919 | + | 0.422132i | 0.875299 | − | 0.483582i | \(-0.160665\pi\) |
0.423889 | + | 0.905714i | \(0.360665\pi\) | |||||||
\(854\) | −0.0491622 | + | 2.33585i | −0.00168229 | + | 0.0799311i | ||||
\(855\) | −2.35448 | − | 11.0685i | −0.0805216 | − | 0.378536i | ||||
\(856\) | −2.46979 | + | 2.74298i | −0.0844156 | + | 0.0937530i | ||||
\(857\) | 44.3958 | + | 25.6319i | 1.51653 | + | 0.875570i | 0.999812 | + | 0.0194150i | \(0.00618039\pi\) |
0.516720 | + | 0.856155i | \(0.327153\pi\) | |||||||
\(858\) | 0.119407 | − | 0.561767i | 0.00407649 | − | 0.0191784i | ||||
\(859\) | 3.98935 | − | 37.9562i | 0.136115 | − | 1.29505i | −0.686785 | − | 0.726861i | \(-0.740978\pi\) |
0.822900 | − | 0.568187i | \(-0.192355\pi\) | |||||||
\(860\) | 1.90422 | − | 0.405062i | 0.0649333 | − | 0.0138125i | ||||
\(861\) | −31.9821 | + | 42.1261i | −1.08995 | + | 1.43566i | ||||
\(862\) | 1.54752 | − | 2.12997i | 0.0527086 | − | 0.0725472i | ||||
\(863\) | 25.1219 | + | 2.64042i | 0.855159 | + | 0.0898808i | 0.521954 | − | 0.852974i | \(-0.325203\pi\) |
0.333205 | + | 0.942854i | \(0.391870\pi\) | |||||||
\(864\) | −0.311882 | − | 2.96736i | −0.0106104 | − | 0.100952i | ||||
\(865\) | 21.9271 | − | 15.9362i | 0.745545 | − | 0.541846i | ||||
\(866\) | 0.160948 | − | 1.53132i | 0.00546923 | − | 0.0520363i | ||||
\(867\) | −78.3211 | + | 25.4481i | −2.65992 | + | 0.864262i | ||||
\(868\) | −15.2202 | − | 3.57147i | −0.516608 | − | 0.121224i | ||||
\(869\) | −0.297352 | − | 0.915154i | −0.0100870 | − | 0.0310445i | ||||
\(870\) | 0.550738 | + | 0.317855i | 0.0186718 | + | 0.0107763i | ||||
\(871\) | 43.3638 | + | 48.1604i | 1.46933 | + | 1.63185i | ||||
\(872\) | −0.549685 | + | 0.494938i | −0.0186147 | + | 0.0167607i | ||||
\(873\) | 1.63109 | − | 3.66348i | 0.0552039 | − | 0.123990i | ||||
\(874\) | 0.722895 | 0.0244523 | ||||||||
\(875\) | −21.5706 | − | 20.2413i | −0.729218 | − | 0.684281i | ||||
\(876\) | 35.3925 | 1.19580 | ||||||||
\(877\) | −3.29982 | + | 7.41152i | −0.111427 | + | 0.250269i | −0.960648 | − | 0.277768i | \(-0.910405\pi\) |
0.849221 | + | 0.528037i | \(0.177072\pi\) | |||||||
\(878\) | −2.39766 | + | 2.15886i | −0.0809171 | + | 0.0728581i | ||||
\(879\) | −24.4229 | − | 27.1243i | −0.823762 | − | 0.914881i | ||||
\(880\) | 5.94542 | + | 3.43136i | 0.200420 | + | 0.115671i | ||||
\(881\) | −1.00179 | − | 3.08320i | −0.0337513 | − | 0.103876i | 0.932762 | − | 0.360494i | \(-0.117392\pi\) |
−0.966513 | + | 0.256618i | \(0.917392\pi\) | |||||||
\(882\) | 0.430559 | − | 0.866922i | 0.0144977 | − | 0.0291908i | ||||
\(883\) | −29.7139 | + | 9.65464i | −0.999953 | + | 0.324905i | −0.762847 | − | 0.646579i | \(-0.776199\pi\) |
−0.237107 | + | 0.971484i | \(0.576199\pi\) | |||||||
\(884\) | −6.28251 | + | 59.7741i | −0.211304 | + | 2.01042i | ||||
\(885\) | 28.1696 | − | 20.4731i | 0.946910 | − | 0.688194i | ||||
\(886\) | −0.196430 | − | 1.86891i | −0.00659920 | − | 0.0627872i | ||||
\(887\) | 9.75126 | + | 1.02490i | 0.327415 | + | 0.0344127i | 0.266810 | − | 0.963749i | \(-0.414030\pi\) |
0.0606050 | + | 0.998162i | \(0.480697\pi\) | |||||||
\(888\) | 1.08861 | − | 1.49834i | 0.0365314 | − | 0.0502811i | ||||
\(889\) | −29.3080 | − | 3.70543i | −0.982958 | − | 0.124276i | ||||
\(890\) | −0.0795105 | + | 0.0169133i | −0.00266520 | + | 0.000566937i | ||||
\(891\) | −0.910957 | + | 8.66718i | −0.0305182 | + | 0.290361i | ||||
\(892\) | 8.39669 | − | 39.5033i | 0.281142 | − | 1.32267i | ||||
\(893\) | −19.2126 | − | 11.0924i | −0.642924 | − | 0.371192i | ||||
\(894\) | −1.95603 | + | 2.17239i | −0.0654193 | + | 0.0726555i | ||||
\(895\) | −4.30326 | − | 20.2299i | −0.143842 | − | 0.676209i | ||||
\(896\) | −6.08516 | − | 3.68613i | −0.203291 | − | 0.123145i | ||||
\(897\) | −22.8098 | − | 7.41136i | −0.761598 | − | 0.247458i | ||||
\(898\) | −0.113818 | + | 0.255639i | −0.00379815 | + | 0.00853078i | ||||
\(899\) | 2.31056 | − | 4.00201i | 0.0770616 | − | 0.133475i | ||||
\(900\) | 14.8464 | + | 6.60456i | 0.494881 | + | 0.220152i | ||||
\(901\) | 26.6020 | + | 46.0760i | 0.886241 | + | 1.53501i | ||||
\(902\) | 0.359217 | + | 0.494420i | 0.0119606 | + | 0.0164624i | ||||
\(903\) | 2.48689 | + | 0.0523410i | 0.0827584 | + | 0.00174180i | ||||
\(904\) | 0.397635 | − | 1.22379i | 0.0132251 | − | 0.0407028i | ||||
\(905\) | 9.55743 | − | 44.9984i | 0.317700 | − | 1.49580i | ||||
\(906\) | −2.07494 | − | 0.441042i | −0.0689352 | − | 0.0146526i | ||||
\(907\) | −13.2879 | − | 7.67177i | −0.441217 | − | 0.254737i | 0.262897 | − | 0.964824i | \(-0.415322\pi\) |
−0.704114 | + | 0.710087i | \(0.748656\pi\) | |||||||
\(908\) | 5.87733 | + | 5.29197i | 0.195046 | + | 0.175620i | ||||
\(909\) | −12.8753 | − | 9.35443i | −0.427046 | − | 0.310267i | ||||
\(910\) | 1.48360 | + | 1.39304i | 0.0491810 | + | 0.0461789i | ||||
\(911\) | −4.75500 | + | 3.45471i | −0.157540 | + | 0.114460i | −0.663763 | − | 0.747943i | \(-0.731041\pi\) |
0.506222 | + | 0.862403i | \(0.331041\pi\) | |||||||
\(912\) | −26.2795 | − | 2.76209i | −0.870201 | − | 0.0914618i | ||||
\(913\) | 3.14346 | + | 7.06033i | 0.104033 | + | 0.233663i | ||||
\(914\) | 0.292405 | + | 2.78204i | 0.00967188 | + | 0.0920218i | ||||
\(915\) | −49.0188 | − | 10.4113i | −1.62051 | − | 0.344188i | ||||
\(916\) | −44.8714 | − | 32.6010i | −1.48259 | − | 1.07717i | ||||
\(917\) | 3.92608 | + | 46.8104i | 0.129651 | + | 1.54582i | ||||
\(918\) | 1.85737i | 0.0613025i | ||||||||
\(919\) | 9.63003 | − | 10.6952i | 0.317666 | − | 0.352803i | −0.563072 | − | 0.826408i | \(-0.690381\pi\) |
0.880738 | + | 0.473604i | \(0.157047\pi\) | |||||||
\(920\) | −1.22221 | + | 1.68278i | −0.0402951 | + | 0.0554795i | ||||
\(921\) | −30.0933 | − | 33.4220i | −0.991608 | − | 1.10129i | ||||
\(922\) | −0.102073 | − | 0.480217i | −0.00336160 | − | 0.0158151i | ||||
\(923\) | 17.1599 | + | 23.6185i | 0.564824 | + | 0.777414i | ||||
\(924\) | 6.41626 | + | 6.02648i | 0.211080 | + | 0.198256i | ||||
\(925\) | −5.17336 | − | 11.6099i | −0.170099 | − | 0.381731i | ||||
\(926\) | −0.498388 | − | 0.863234i | −0.0163781 | − | 0.0283676i | ||||
\(927\) | −30.7526 | + | 3.23222i | −1.01005 | + | 0.106160i | ||||
\(928\) | 1.17282 | − | 1.05602i | 0.0384998 | − | 0.0346654i | ||||
\(929\) | 31.7654 | − | 6.75195i | 1.04219 | − | 0.221524i | 0.345143 | − | 0.938550i | \(-0.387830\pi\) |
0.697047 | + | 0.717026i | \(0.254497\pi\) | |||||||
\(930\) | −0.491903 | + | 1.10529i | −0.0161301 | + | 0.0362440i | ||||
\(931\) | 17.0214 | + | 13.4965i | 0.557853 | + | 0.442330i | ||||
\(932\) | 24.9727i | 0.818008i | ||||||||
\(933\) | −34.0165 | − | 30.6286i | −1.11365 | − | 1.00274i | ||||
\(934\) | −0.333622 | + | 0.148538i | −0.0109165 | + | 0.00486032i | ||||
\(935\) | −10.4353 | − | 7.57919i | −0.341270 | − | 0.247866i | ||||
\(936\) | −2.04625 | − | 0.911048i | −0.0668837 | − | 0.0297785i | ||||
\(937\) | −22.0826 | + | 30.3941i | −0.721407 | + | 0.992932i | 0.278068 | + | 0.960561i | \(0.410306\pi\) |
−0.999476 | + | 0.0323709i | \(0.989694\pi\) | |||||||
\(938\) | 3.52030 | − | 0.671169i | 0.114942 | − | 0.0219145i | ||||
\(939\) | −15.5508 | + | 11.2983i | −0.507481 | + | 0.368707i | ||||
\(940\) | 29.0996 | − | 12.9614i | 0.949124 | − | 0.422753i | ||||
\(941\) | 1.04894 | − | 0.467020i | 0.0341946 | − | 0.0152244i | −0.389568 | − | 0.920998i | \(-0.627376\pi\) |
0.423763 | + | 0.905773i | \(0.360709\pi\) | |||||||
\(942\) | 0.0479612 | − | 0.225640i | 0.00156266 | − | 0.00735174i | ||||
\(943\) | 22.1021 | − | 12.7606i | 0.719742 | − | 0.415543i | ||||
\(944\) | −8.84908 | − | 27.2347i | −0.288013 | − | 0.886413i | ||||
\(945\) | −13.8852 | − | 10.5383i | −0.451687 | − | 0.342810i | ||||
\(946\) | 0.00888158 | − | 0.0273347i | 0.000288765 | − | 0.000888728i | ||||
\(947\) | −5.35012 | − | 25.1703i | −0.173855 | − | 0.817925i | −0.975478 | − | 0.220095i | \(-0.929363\pi\) |
0.801623 | − | 0.597830i | \(-0.203970\pi\) | |||||||
\(948\) | −5.28961 | + | 0.555961i | −0.171799 | + | 0.0180568i | ||||
\(949\) | −16.7410 | + | 28.9962i | −0.543434 | + | 0.941256i | ||||
\(950\) | 0.773006 | − | 1.06464i | 0.0250796 | − | 0.0345416i | ||||
\(951\) | 73.0318 | 2.36822 | ||||||||
\(952\) | 5.30392 | + | 4.02673i | 0.171901 | + | 0.130507i | ||||
\(953\) | 21.2875 | + | 6.91673i | 0.689570 | + | 0.224055i | 0.632780 | − | 0.774331i | \(-0.281914\pi\) |
0.0567895 | + | 0.998386i | \(0.481914\pi\) | |||||||
\(954\) | −0.967977 | + | 0.205750i | −0.0313394 | + | 0.00666140i | ||||
\(955\) | −11.0495 | + | 15.2133i | −0.357555 | + | 0.492292i | ||||
\(956\) | 18.3698 | + | 3.90463i | 0.594123 | + | 0.126285i | ||||
\(957\) | −2.25337 | + | 1.30098i | −0.0728411 | + | 0.0420548i | ||||
\(958\) | −0.956459 | + | 0.310772i | −0.0309018 | + | 0.0100406i | ||||
\(959\) | −22.4126 | − | 7.80739i | −0.723740 | − | 0.252114i | ||||
\(960\) | 25.1998 | − | 27.9959i | 0.813320 | − | 0.903565i | ||||
\(961\) | −20.2880 | − | 9.03279i | −0.654451 | − | 0.291380i | ||||
\(962\) | 0.355675 | + | 0.798859i | 0.0114674 | + | 0.0257563i | ||||
\(963\) | −7.23135 | − | 16.2419i | −0.233027 | − | 0.523387i | ||||
\(964\) | 10.4183 | + | 4.63854i | 0.335552 | + | 0.149397i | ||||
\(965\) | 8.55475 | + | 14.8120i | 0.275387 | + | 0.476814i | ||||
\(966\) | −1.00407 | + | 0.866513i | −0.0323053 | + | 0.0278796i | ||||
\(967\) | 12.6370 | − | 4.10600i | 0.406378 | − | 0.132040i | −0.0986934 | − | 0.995118i | \(-0.531466\pi\) |
0.505071 | + | 0.863078i | \(0.331466\pi\) | |||||||
\(968\) | −3.04875 | + | 1.76020i | −0.0979907 | + | 0.0565749i | ||||
\(969\) | 48.5614 | + | 10.3220i | 1.56002 | + | 0.331592i | ||||
\(970\) | 0.443401 | − | 0.144146i | 0.0142368 | − | 0.00462824i | ||||
\(971\) | −34.1267 | + | 7.25385i | −1.09518 | + | 0.232787i | −0.719867 | − | 0.694112i | \(-0.755797\pi\) |
−0.375311 | + | 0.926899i | \(0.622464\pi\) | |||||||
\(972\) | 29.0603 | + | 9.44225i | 0.932108 | + | 0.302860i | ||||
\(973\) | 5.43236 | − | 42.9671i | 0.174153 | − | 1.37746i | ||||
\(974\) | −2.11177 | −0.0676654 | ||||||||
\(975\) | −35.3061 | + | 25.6681i | −1.13070 | + | 0.822036i | ||||
\(976\) | −20.6043 | + | 35.6877i | −0.659528 | + | 1.14234i | ||||
\(977\) | −45.2424 | + | 4.75517i | −1.44743 | + | 0.152131i | −0.795412 | − | 0.606069i | \(-0.792745\pi\) |
−0.652021 | + | 0.758201i | \(0.726079\pi\) | |||||||
\(978\) | −0.203467 | − | 0.957239i | −0.00650617 | − | 0.0306091i | ||||
\(979\) | 0.102788 | − | 0.316350i | 0.00328513 | − | 0.0101106i | ||||
\(980\) | −30.0437 | + | 8.38692i | −0.959712 | + | 0.267910i | ||||
\(981\) | −1.10098 | − | 3.38847i | −0.0351517 | − | 0.108186i | ||||
\(982\) | 1.68270 | − | 0.971505i | 0.0536970 | − | 0.0310020i | ||||
\(983\) | −0.898144 | + | 4.22544i | −0.0286463 | + | 0.134770i | −0.990147 | − | 0.140033i | \(-0.955279\pi\) |
0.961501 | + | 0.274803i | \(0.0886126\pi\) | |||||||
\(984\) | 6.18305 | − | 2.75287i | 0.197108 | − | 0.0877583i | ||||
\(985\) | 11.2458 | + | 12.4858i | 0.358320 | + | 0.397831i | ||||
\(986\) | −0.794806 | + | 0.577460i | −0.0253118 | + | 0.0183901i | ||||
\(987\) | 39.9815 | − | 7.62274i | 1.27262 | − | 0.242634i | ||||
\(988\) | 14.7467 | − | 20.2971i | 0.469156 | − | 0.645738i | ||||
\(989\) | −1.09648 | − | 0.488186i | −0.0348661 | − | 0.0155234i | ||||
\(990\) | 0.194054 | − | 0.141034i | 0.00616744 | − | 0.00448236i | ||||
\(991\) | 2.55778 | − | 1.13880i | 0.0812506 | − | 0.0361751i | −0.365709 | − | 0.930729i | \(-0.619173\pi\) |
0.446960 | + | 0.894554i | \(0.352507\pi\) | |||||||
\(992\) | 2.23139 | + | 2.00915i | 0.0708467 | + | 0.0637906i | ||||
\(993\) | 2.79836i | 0.0888032i | ||||||||
\(994\) | 1.60876 | − | 0.134929i | 0.0510266 | − | 0.00427970i | ||||
\(995\) | 33.0443 | − | 19.0850i | 1.04758 | − | 0.605034i | ||||
\(996\) | 41.7851 | − | 8.88169i | 1.32401 | − | 0.281427i | ||||
\(997\) | −20.0507 | + | 18.0537i | −0.635012 | + | 0.571767i | −0.922490 | − | 0.386020i | \(-0.873850\pi\) |
0.287479 | + | 0.957787i | \(0.407183\pi\) | |||||||
\(998\) | 0.888744 | − | 0.0934108i | 0.0281327 | − | 0.00295687i | ||||
\(999\) | −3.74504 | − | 6.48660i | −0.118488 | − | 0.205227i |
(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 | 175.2.t.a.39.9 | yes | 144 | |
5.2 | odd | 4 | 875.2.q.b.676.18 | 288 | |||
5.3 | odd | 4 | 875.2.q.b.676.19 | 288 | |||
5.4 | even | 2 | 875.2.u.a.74.10 | 144 | |||
7.2 | even | 3 | inner | 175.2.t.a.114.10 | yes | 144 | |
25.9 | even | 10 | inner | 175.2.t.a.109.10 | yes | 144 | |
25.12 | odd | 20 | 875.2.q.b.326.19 | 288 | |||
25.13 | odd | 20 | 875.2.q.b.326.18 | 288 | |||
25.16 | even | 5 | 875.2.u.a.424.9 | 144 | |||
35.2 | odd | 12 | 875.2.q.b.51.19 | 288 | |||
35.9 | even | 6 | 875.2.u.a.324.9 | 144 | |||
35.23 | odd | 12 | 875.2.q.b.51.18 | 288 | |||
175.9 | even | 30 | inner | 175.2.t.a.9.9 | ✓ | 144 | |
175.16 | even | 15 | 875.2.u.a.674.10 | 144 | |||
175.37 | odd | 60 | 875.2.q.b.576.18 | 288 | |||
175.163 | odd | 60 | 875.2.q.b.576.19 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.t.a.9.9 | ✓ | 144 | 175.9 | even | 30 | inner | |
175.2.t.a.39.9 | yes | 144 | 1.1 | even | 1 | trivial | |
175.2.t.a.109.10 | yes | 144 | 25.9 | even | 10 | inner | |
175.2.t.a.114.10 | yes | 144 | 7.2 | even | 3 | inner | |
875.2.q.b.51.18 | 288 | 35.23 | odd | 12 | |||
875.2.q.b.51.19 | 288 | 35.2 | odd | 12 | |||
875.2.q.b.326.18 | 288 | 25.13 | odd | 20 | |||
875.2.q.b.326.19 | 288 | 25.12 | odd | 20 | |||
875.2.q.b.576.18 | 288 | 175.37 | odd | 60 | |||
875.2.q.b.576.19 | 288 | 175.163 | odd | 60 | |||
875.2.q.b.676.18 | 288 | 5.2 | odd | 4 | |||
875.2.q.b.676.19 | 288 | 5.3 | odd | 4 | |||
875.2.u.a.74.10 | 144 | 5.4 | even | 2 | |||
875.2.u.a.324.9 | 144 | 35.9 | even | 6 | |||
875.2.u.a.424.9 | 144 | 25.16 | even | 5 | |||
875.2.u.a.674.10 | 144 | 175.16 | even | 15 |