Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(13,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.bb (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 13.5 | ||
Character | \(\chi\) | \(=\) | 552.13 |
Dual form | 552.2.bb.a.85.5 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{7}{11}\right)\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36486 | + | 0.370358i | −0.965100 | + | 0.261882i | ||||
\(3\) | 0.540641 | − | 0.841254i | 0.312139 | − | 0.485698i | ||||
\(4\) | 1.72567 | − | 1.01097i | 0.862835 | − | 0.505485i | ||||
\(5\) | 0.808939 | + | 0.369430i | 0.361768 | + | 0.165214i | 0.588003 | − | 0.808859i | \(-0.299914\pi\) |
−0.226235 | + | 0.974073i | \(0.572642\pi\) | |||||||
\(6\) | −0.426333 | + | 1.34842i | −0.174050 | + | 0.550491i | ||||
\(7\) | 0.759802 | + | 0.223098i | 0.287178 | + | 0.0843231i | 0.422149 | − | 0.906526i | \(-0.361276\pi\) |
−0.134971 | + | 0.990850i | \(0.543094\pi\) | |||||||
\(8\) | −1.98087 | + | 2.01895i | −0.700344 | + | 0.713805i | ||||
\(9\) | −0.415415 | − | 0.909632i | −0.138472 | − | 0.303211i | ||||
\(10\) | −1.24091 | − | 0.204623i | −0.392409 | − | 0.0647073i | ||||
\(11\) | 0.857262 | + | 0.742822i | 0.258474 | + | 0.223969i | 0.774452 | − | 0.632633i | \(-0.218026\pi\) |
−0.515978 | + | 0.856602i | \(0.672571\pi\) | |||||||
\(12\) | 0.0824854 | − | 1.99830i | 0.0238115 | − | 0.576859i | ||||
\(13\) | 1.80954 | + | 6.16272i | 0.501876 | + | 1.70923i | 0.687125 | + | 0.726539i | \(0.258873\pi\) |
−0.185249 | + | 0.982692i | \(0.559309\pi\) | |||||||
\(14\) | −1.11965 | − | 0.0230985i | −0.299238 | − | 0.00617333i | ||||
\(15\) | 0.748130 | − | 0.480794i | 0.193166 | − | 0.124140i | ||||
\(16\) | 1.95588 | − | 3.48920i | 0.488969 | − | 0.872301i | ||||
\(17\) | 0.262648 | + | 1.82676i | 0.0637014 | + | 0.443053i | 0.996564 | + | 0.0828217i | \(0.0263932\pi\) |
−0.932863 | + | 0.360231i | \(0.882698\pi\) | |||||||
\(18\) | 0.903871 | + | 1.08767i | 0.213045 | + | 0.256365i | ||||
\(19\) | 6.71287 | + | 0.965165i | 1.54004 | + | 0.221424i | 0.859442 | − | 0.511234i | \(-0.170811\pi\) |
0.680597 | + | 0.732658i | \(0.261720\pi\) | |||||||
\(20\) | 1.76944 | − | 0.180299i | 0.395660 | − | 0.0403161i | ||||
\(21\) | 0.598462 | − | 0.518570i | 0.130595 | − | 0.113161i | ||||
\(22\) | −1.44515 | − | 0.696352i | −0.308107 | − | 0.148463i | ||||
\(23\) | −4.76142 | + | 0.573480i | −0.992825 | + | 0.119579i | ||||
\(24\) | 0.627504 | + | 2.75794i | 0.128089 | + | 0.562962i | ||||
\(25\) | −2.75640 | − | 3.18106i | −0.551280 | − | 0.636211i | ||||
\(26\) | −4.75217 | − | 7.74106i | −0.931977 | − | 1.51815i | ||||
\(27\) | −0.989821 | − | 0.142315i | −0.190491 | − | 0.0273885i | ||||
\(28\) | 1.53671 | − | 0.383144i | 0.290412 | − | 0.0724074i | ||||
\(29\) | −0.980596 | + | 0.140988i | −0.182092 | + | 0.0261809i | −0.232758 | − | 0.972535i | \(-0.574775\pi\) |
0.0506654 | + | 0.998716i | \(0.483866\pi\) | |||||||
\(30\) | −0.843025 | + | 0.933290i | −0.153915 | + | 0.170395i | ||||
\(31\) | 3.39749 | − | 2.18343i | 0.610207 | − | 0.392156i | −0.198728 | − | 0.980055i | \(-0.563681\pi\) |
0.808935 | + | 0.587899i | \(0.200045\pi\) | |||||||
\(32\) | −1.37724 | + | 5.48664i | −0.243464 | + | 0.969910i | ||||
\(33\) | 1.08837 | − | 0.319575i | 0.189461 | − | 0.0556309i | ||||
\(34\) | −1.03503 | − | 2.39599i | −0.177506 | − | 0.410908i | ||||
\(35\) | 0.532214 | + | 0.461166i | 0.0899606 | + | 0.0779513i | ||||
\(36\) | −1.63648 | − | 1.14975i | −0.272747 | − | 0.191625i | ||||
\(37\) | 6.20415 | − | 2.83334i | 1.01996 | − | 0.465798i | 0.165990 | − | 0.986127i | \(-0.446918\pi\) |
0.853966 | + | 0.520329i | \(0.174191\pi\) | |||||||
\(38\) | −9.51957 | + | 1.16885i | −1.54428 | + | 0.189613i | ||||
\(39\) | 6.16272 | + | 1.80954i | 0.986825 | + | 0.289758i | ||||
\(40\) | −2.34826 | + | 0.901410i | −0.371293 | + | 0.142525i | ||||
\(41\) | 0.147591 | − | 0.323180i | 0.0230499 | − | 0.0504722i | −0.897757 | − | 0.440491i | \(-0.854804\pi\) |
0.920807 | + | 0.390019i | \(0.127532\pi\) | |||||||
\(42\) | −0.624759 | + | 0.929419i | −0.0964024 | + | 0.143413i | ||||
\(43\) | 2.14419 | − | 3.33643i | 0.326986 | − | 0.508801i | −0.638372 | − | 0.769728i | \(-0.720392\pi\) |
0.965359 | + | 0.260927i | \(0.0840282\pi\) | |||||||
\(44\) | 2.23032 | + | 0.415199i | 0.336234 | + | 0.0625936i | ||||
\(45\) | − | 0.889303i | − | 0.132570i | ||||||
\(46\) | 6.28627 | − | 2.54615i | 0.926859 | − | 0.375409i | ||||
\(47\) | 12.7492 | 1.85966 | 0.929829 | − | 0.367991i | \(-0.119954\pi\) | ||||
0.929829 | + | 0.367991i | \(0.119954\pi\) | |||||||
\(48\) | −1.87788 | − | 3.53179i | −0.271048 | − | 0.509771i | ||||
\(49\) | −5.36125 | − | 3.44547i | −0.765893 | − | 0.492209i | ||||
\(50\) | 4.94022 | + | 3.32083i | 0.698653 | + | 0.469637i | ||||
\(51\) | 1.67876 | + | 0.766665i | 0.235074 | + | 0.107355i | ||||
\(52\) | 9.35299 | + | 8.80544i | 1.29703 | + | 1.22109i | ||||
\(53\) | −2.70529 | + | 9.21338i | −0.371601 | + | 1.26556i | 0.535462 | + | 0.844559i | \(0.320138\pi\) |
−0.907062 | + | 0.420996i | \(0.861681\pi\) | |||||||
\(54\) | 1.40367 | − | 0.172348i | 0.191016 | − | 0.0234537i | ||||
\(55\) | 0.419052 | + | 0.917596i | 0.0565049 | + | 0.123729i | ||||
\(56\) | −1.95549 | + | 1.09207i | −0.261314 | + | 0.145934i | ||||
\(57\) | 4.44120 | − | 5.12542i | 0.588252 | − | 0.678879i | ||||
\(58\) | 1.28616 | − | 0.555600i | 0.168881 | − | 0.0729539i | ||||
\(59\) | −2.36063 | − | 8.03958i | −0.307328 | − | 1.04666i | −0.957872 | − | 0.287195i | \(-0.907277\pi\) |
0.650544 | − | 0.759469i | \(-0.274541\pi\) | |||||||
\(60\) | 0.804957 | − | 1.58603i | 0.103920 | − | 0.204755i | ||||
\(61\) | 4.32658 | + | 6.73229i | 0.553962 | + | 0.861982i | 0.999445 | − | 0.0333085i | \(-0.0106044\pi\) |
−0.445483 | + | 0.895290i | \(0.646968\pi\) | |||||||
\(62\) | −3.82843 | + | 4.23836i | −0.486212 | + | 0.538272i | ||||
\(63\) | −0.112696 | − | 0.783819i | −0.0141984 | − | 0.0987519i | ||||
\(64\) | −0.152282 | − | 7.99855i | −0.0190353 | − | 0.999819i | ||||
\(65\) | −0.812888 | + | 5.65376i | −0.100826 | + | 0.701263i | ||||
\(66\) | −1.36712 | + | 0.839261i | −0.168280 | + | 0.103306i | ||||
\(67\) | −9.22604 | + | 7.99441i | −1.12714 | + | 0.976673i | −0.999885 | − | 0.0151969i | \(-0.995162\pi\) |
−0.127256 | + | 0.991870i | \(0.540617\pi\) | |||||||
\(68\) | 2.30004 | + | 2.88685i | 0.278921 | + | 0.350082i | ||||
\(69\) | −2.09178 | + | 4.31561i | −0.251820 | + | 0.519538i | ||||
\(70\) | −0.897193 | − | 0.432317i | −0.107235 | − | 0.0516717i | ||||
\(71\) | 1.86726 | + | 2.15493i | 0.221603 | + | 0.255743i | 0.855655 | − | 0.517547i | \(-0.173155\pi\) |
−0.634052 | + | 0.773290i | \(0.718609\pi\) | |||||||
\(72\) | 2.65938 | + | 0.963165i | 0.313411 | + | 0.113510i | ||||
\(73\) | 0.472028 | − | 3.28303i | 0.0552467 | − | 0.384249i | −0.943373 | − | 0.331733i | \(-0.892367\pi\) |
0.998620 | − | 0.0525163i | \(-0.0167241\pi\) | |||||||
\(74\) | −7.41843 | + | 6.16486i | −0.862375 | + | 0.716650i | ||||
\(75\) | −4.16630 | + | 0.599023i | −0.481082 | + | 0.0691692i | ||||
\(76\) | 12.5600 | − | 5.12096i | 1.44073 | − | 0.587414i | ||||
\(77\) | 0.485627 | + | 0.755651i | 0.0553424 | + | 0.0861144i | ||||
\(78\) | −9.08141 | − | 0.187351i | −1.02827 | − | 0.0212133i | ||||
\(79\) | 6.92887 | − | 2.03450i | 0.779558 | − | 0.228899i | 0.132341 | − | 0.991204i | \(-0.457751\pi\) |
0.647218 | + | 0.762305i | \(0.275933\pi\) | |||||||
\(80\) | 2.87120 | − | 2.09999i | 0.321010 | − | 0.234786i | ||||
\(81\) | −0.654861 | + | 0.755750i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | −0.0817489 | + | 0.495756i | −0.00902765 | + | 0.0547470i | ||||
\(83\) | 11.7293 | − | 5.35658i | 1.28745 | − | 0.587961i | 0.350223 | − | 0.936667i | \(-0.386106\pi\) |
0.937232 | + | 0.348706i | \(0.113379\pi\) | |||||||
\(84\) | 0.508489 | − | 1.49991i | 0.0554807 | − | 0.163653i | ||||
\(85\) | −0.462392 | + | 1.57476i | −0.0501535 | + | 0.170807i | ||||
\(86\) | −1.69085 | + | 5.34787i | −0.182329 | + | 0.576676i | ||||
\(87\) | −0.411543 | + | 0.901154i | −0.0441221 | + | 0.0966139i | ||||
\(88\) | −3.19784 | + | 0.259330i | −0.340891 | + | 0.0276446i | ||||
\(89\) | 1.13081 | + | 0.726727i | 0.119865 | + | 0.0770329i | 0.599200 | − | 0.800600i | \(-0.295485\pi\) |
−0.479334 | + | 0.877632i | \(0.659122\pi\) | |||||||
\(90\) | 0.329360 | + | 1.21377i | 0.0347176 | + | 0.127943i | ||||
\(91\) | 5.08615i | 0.533174i | ||||||||
\(92\) | −7.63687 | + | 5.80329i | −0.796199 | + | 0.605035i | ||||
\(93\) | − | 4.03860i | − | 0.418783i | ||||||
\(94\) | −17.4008 | + | 4.72176i | −1.79476 | + | 0.487012i | ||||
\(95\) | 5.07374 | + | 3.26070i | 0.520555 | + | 0.334540i | ||||
\(96\) | 3.87106 | + | 4.12491i | 0.395089 | + | 0.420997i | ||||
\(97\) | −3.20667 | + | 7.02163i | −0.325588 | + | 0.712939i | −0.999669 | − | 0.0257186i | \(-0.991813\pi\) |
0.674081 | + | 0.738657i | \(0.264540\pi\) | |||||||
\(98\) | 8.59339 | + | 2.71699i | 0.868064 | + | 0.274457i | ||||
\(99\) | 0.319575 | − | 1.08837i | 0.0321185 | − | 0.109386i | ||||
\(100\) | −7.97259 | − | 2.70281i | −0.797259 | − | 0.270281i | ||||
\(101\) | −7.79464 | + | 3.55970i | −0.775596 | + | 0.354203i | −0.763570 | − | 0.645725i | \(-0.776555\pi\) |
−0.0120259 | + | 0.999928i | \(0.503828\pi\) | |||||||
\(102\) | −2.57521 | − | 0.424646i | −0.254984 | − | 0.0420462i | ||||
\(103\) | 5.36254 | − | 6.18870i | 0.528386 | − | 0.609790i | −0.427324 | − | 0.904098i | \(-0.640544\pi\) |
0.955711 | + | 0.294308i | \(0.0950892\pi\) | |||||||
\(104\) | −16.0267 | − | 8.55421i | −1.57154 | − | 0.838809i | ||||
\(105\) | 0.675695 | − | 0.198402i | 0.0659410 | − | 0.0193620i | ||||
\(106\) | 0.280093 | − | 13.5769i | 0.0272050 | − | 1.31870i | ||||
\(107\) | −5.94171 | − | 9.24548i | −0.574406 | − | 0.893794i | 0.425531 | − | 0.904944i | \(-0.360087\pi\) |
−0.999938 | + | 0.0111498i | \(0.996451\pi\) | |||||||
\(108\) | −1.85198 | + | 0.755092i | −0.178207 | + | 0.0726587i | ||||
\(109\) | −18.4196 | + | 2.64835i | −1.76428 | + | 0.253666i | −0.946693 | − | 0.322136i | \(-0.895599\pi\) |
−0.817589 | + | 0.575802i | \(0.804690\pi\) | |||||||
\(110\) | −0.911785 | − | 1.09719i | −0.0869352 | − | 0.104613i | ||||
\(111\) | 0.970659 | − | 6.75108i | 0.0921308 | − | 0.640784i | ||||
\(112\) | 2.26451 | − | 2.21475i | 0.213976 | − | 0.209274i | ||||
\(113\) | −10.4783 | − | 12.0926i | −0.985712 | − | 1.13757i | −0.990490 | − | 0.137584i | \(-0.956066\pi\) |
0.00477784 | − | 0.999989i | \(-0.498479\pi\) | |||||||
\(114\) | −4.16337 | + | 8.64030i | −0.389935 | + | 0.809238i | ||||
\(115\) | −4.06356 | − | 1.29510i | −0.378929 | − | 0.120769i | ||||
\(116\) | −1.54965 | + | 1.23465i | −0.143881 | + | 0.114635i | ||||
\(117\) | 4.85410 | − | 4.20610i | 0.448762 | − | 0.388854i | ||||
\(118\) | 6.19944 | + | 10.0986i | 0.570705 | + | 0.929651i | ||||
\(119\) | −0.207985 | + | 1.44657i | −0.0190660 | + | 0.132607i | ||||
\(120\) | −0.511254 | + | 2.46282i | −0.0466709 | + | 0.224824i | ||||
\(121\) | −1.38235 | − | 9.61445i | −0.125668 | − | 0.874041i | ||||
\(122\) | −8.39852 | − | 7.58624i | −0.760367 | − | 0.686826i | ||||
\(123\) | −0.192082 | − | 0.298886i | −0.0173195 | − | 0.0269496i | ||||
\(124\) | 3.65556 | − | 7.20264i | 0.328279 | − | 0.646816i | ||||
\(125\) | −2.30731 | − | 7.85798i | −0.206372 | − | 0.702839i | ||||
\(126\) | 0.444107 | + | 1.02806i | 0.0395642 | + | 0.0915871i | ||||
\(127\) | −6.22427 | + | 7.18319i | −0.552315 | + | 0.637405i | −0.961421 | − | 0.275082i | \(-0.911295\pi\) |
0.409106 | + | 0.912487i | \(0.365841\pi\) | |||||||
\(128\) | 3.17017 | + | 10.8605i | 0.280206 | + | 0.959940i | ||||
\(129\) | −1.64755 | − | 3.60762i | −0.145058 | − | 0.317633i | ||||
\(130\) | −0.984437 | − | 8.01764i | −0.0863409 | − | 0.703193i | ||||
\(131\) | 1.62113 | − | 5.52106i | 0.141639 | − | 0.482377i | −0.857865 | − | 0.513875i | \(-0.828210\pi\) |
0.999504 | + | 0.0314977i | \(0.0100277\pi\) | |||||||
\(132\) | 1.55509 | − | 1.65179i | 0.135353 | − | 0.143770i | ||||
\(133\) | 4.88513 | + | 2.23096i | 0.423594 | + | 0.193449i | ||||
\(134\) | 9.63144 | − | 14.3282i | 0.832030 | − | 1.23777i | ||||
\(135\) | −0.748130 | − | 0.480794i | −0.0643888 | − | 0.0413801i | ||||
\(136\) | −4.20839 | − | 3.08830i | −0.360867 | − | 0.264819i | ||||
\(137\) | −6.82572 | −0.583161 | −0.291580 | − | 0.956546i | \(-0.594181\pi\) | ||||
−0.291580 | + | 0.956546i | \(0.594181\pi\) | |||||||
\(138\) | 1.25666 | − | 6.66489i | 0.106974 | − | 0.567353i | ||||
\(139\) | 2.95143i | 0.250337i | 0.992135 | + | 0.125169i | \(0.0399471\pi\) | ||||
−0.992135 | + | 0.125169i | \(0.960053\pi\) | |||||||
\(140\) | 1.38465 | + | 0.257768i | 0.117024 | + | 0.0217854i | ||||
\(141\) | 6.89273 | − | 10.7253i | 0.580472 | − | 0.903233i | ||||
\(142\) | −3.34663 | − | 2.24962i | −0.280843 | − | 0.188784i | ||||
\(143\) | −3.02655 | + | 6.62723i | −0.253093 | + | 0.554197i | ||||
\(144\) | −3.98639 | − | 0.329661i | −0.332199 | − | 0.0274717i | ||||
\(145\) | −0.845328 | − | 0.248211i | −0.0702006 | − | 0.0206128i | ||||
\(146\) | 0.571643 | + | 4.65568i | 0.0473095 | + | 0.385307i | ||||
\(147\) | −5.79702 | + | 2.64741i | −0.478130 | + | 0.218355i | ||||
\(148\) | 7.84189 | − | 11.1616i | 0.644600 | − | 0.917479i | ||||
\(149\) | −13.1651 | − | 11.4076i | −1.07853 | − | 0.934550i | −0.0804645 | − | 0.996757i | \(-0.525640\pi\) |
−0.998063 | + | 0.0622079i | \(0.980186\pi\) | |||||||
\(150\) | 5.46455 | − | 2.36060i | 0.446178 | − | 0.192742i | ||||
\(151\) | 2.09304 | − | 0.614571i | 0.170329 | − | 0.0500131i | −0.195456 | − | 0.980712i | \(-0.562619\pi\) |
0.365785 | + | 0.930699i | \(0.380801\pi\) | |||||||
\(152\) | −15.2460 | + | 11.6411i | −1.23661 | + | 0.944214i | ||||
\(153\) | 1.55257 | − | 0.997774i | 0.125518 | − | 0.0806653i | ||||
\(154\) | −0.942673 | − | 0.851500i | −0.0759628 | − | 0.0686158i | ||||
\(155\) | 3.55498 | − | 0.511130i | 0.285543 | − | 0.0410549i | ||||
\(156\) | 12.4642 | − | 3.10766i | 0.997936 | − | 0.248812i | ||||
\(157\) | 4.42117 | + | 0.635668i | 0.352848 | + | 0.0507318i | 0.316460 | − | 0.948606i | \(-0.397506\pi\) |
0.0363878 | + | 0.999338i | \(0.488415\pi\) | |||||||
\(158\) | −8.70342 | + | 5.34296i | −0.692407 | + | 0.425063i | ||||
\(159\) | 6.28820 | + | 7.25697i | 0.498687 | + | 0.575515i | ||||
\(160\) | −3.14103 | + | 3.92956i | −0.248320 | + | 0.310659i | ||||
\(161\) | −3.74568 | − | 0.626532i | −0.295201 | − | 0.0493776i | ||||
\(162\) | 0.613894 | − | 1.27402i | 0.0482321 | − | 0.100097i | ||||
\(163\) | −13.3038 | + | 11.5278i | −1.04204 | + | 0.902930i | −0.995383 | − | 0.0959813i | \(-0.969401\pi\) |
−0.0466534 | + | 0.998911i | \(0.514856\pi\) | |||||||
\(164\) | −0.0720313 | − | 0.706912i | −0.00562470 | − | 0.0552005i | ||||
\(165\) | 0.998487 | + | 0.143561i | 0.0777321 | + | 0.0111762i | ||||
\(166\) | −14.0249 | + | 11.6550i | −1.08855 | + | 0.904603i | ||||
\(167\) | −0.219565 | − | 1.52711i | −0.0169905 | − | 0.118171i | 0.979561 | − | 0.201147i | \(-0.0644668\pi\) |
−0.996552 | + | 0.0829754i | \(0.973558\pi\) | |||||||
\(168\) | −0.138512 | + | 2.23548i | −0.0106864 | + | 0.172471i | ||||
\(169\) | −23.7684 | + | 15.2750i | −1.82834 | + | 1.17500i | ||||
\(170\) | 0.0478738 | − | 2.32058i | 0.00367175 | − | 0.177980i | ||||
\(171\) | −1.91068 | − | 6.50719i | −0.146114 | − | 0.497617i | ||||
\(172\) | 0.327139 | − | 7.92530i | 0.0249441 | − | 0.604298i | ||||
\(173\) | −0.419528 | − | 0.363523i | −0.0318961 | − | 0.0276382i | 0.638767 | − | 0.769400i | \(-0.279445\pi\) |
−0.670663 | + | 0.741762i | \(0.733990\pi\) | |||||||
\(174\) | 0.227949 | − | 1.38236i | 0.0172807 | − | 0.104797i | ||||
\(175\) | −1.38463 | − | 3.03192i | −0.104668 | − | 0.229192i | ||||
\(176\) | 4.26856 | − | 1.53829i | 0.321754 | − | 0.115953i | ||||
\(177\) | −8.03958 | − | 2.36063i | −0.604292 | − | 0.177436i | ||||
\(178\) | −1.81254 | − | 0.573075i | −0.135856 | − | 0.0429538i | ||||
\(179\) | 14.1844 | + | 6.47779i | 1.06019 | + | 0.484173i | 0.867680 | − | 0.497123i | \(-0.165610\pi\) |
0.192510 | + | 0.981295i | \(0.438337\pi\) | |||||||
\(180\) | −0.899060 | − | 1.53464i | −0.0670119 | − | 0.114386i | ||||
\(181\) | −0.732616 | + | 1.13997i | −0.0544549 | + | 0.0847335i | −0.867413 | − | 0.497588i | \(-0.834219\pi\) |
0.812959 | + | 0.582322i | \(0.197856\pi\) | |||||||
\(182\) | −1.88370 | − | 6.94187i | −0.139629 | − | 0.514566i | ||||
\(183\) | 8.00269 | 0.591576 | ||||||||
\(184\) | 8.27394 | − | 10.7490i | 0.609963 | − | 0.792430i | ||||
\(185\) | 6.06550 | 0.445944 | ||||||||
\(186\) | 1.49573 | + | 5.51211i | 0.109672 | + | 0.404168i | ||||
\(187\) | −1.13180 | + | 1.76111i | −0.0827651 | + | 0.128785i | ||||
\(188\) | 22.0009 | − | 12.8890i | 1.60458 | − | 0.940030i | ||||
\(189\) | −0.720318 | − | 0.328958i | −0.0523954 | − | 0.0239282i | ||||
\(190\) | −8.13256 | − | 2.57129i | −0.589998 | − | 0.186541i | ||||
\(191\) | −11.5684 | − | 3.39679i | −0.837061 | − | 0.245783i | −0.165014 | − | 0.986291i | \(-0.552767\pi\) |
−0.672048 | + | 0.740508i | \(0.734585\pi\) | |||||||
\(192\) | −6.81114 | − | 4.19623i | −0.491552 | − | 0.302837i | ||||
\(193\) | −5.46934 | − | 11.9762i | −0.393692 | − | 0.862065i | −0.997871 | − | 0.0652166i | \(-0.979226\pi\) |
0.604179 | − | 0.796848i | \(-0.293501\pi\) | |||||||
\(194\) | 1.77613 | − | 10.7711i | 0.127519 | − | 0.773323i | ||||
\(195\) | 4.31677 | + | 3.74050i | 0.309130 | + | 0.267863i | ||||
\(196\) | −12.7350 | − | 0.525674i | −0.909644 | − | 0.0375481i | ||||
\(197\) | 5.84775 | + | 19.9156i | 0.416635 | + | 1.41893i | 0.854295 | + | 0.519788i | \(0.173989\pi\) |
−0.437661 | + | 0.899140i | \(0.644193\pi\) | |||||||
\(198\) | −0.0330872 | + | 1.60383i | −0.00235141 | + | 0.113979i | ||||
\(199\) | −1.82084 | + | 1.17018i | −0.129076 | + | 0.0829519i | −0.603585 | − | 0.797298i | \(-0.706262\pi\) |
0.474510 | + | 0.880250i | \(0.342625\pi\) | |||||||
\(200\) | 11.8825 | + | 0.736246i | 0.840217 | + | 0.0520604i | ||||
\(201\) | 1.73735 | + | 12.0835i | 0.122543 | + | 0.852308i | ||||
\(202\) | 9.32022 | − | 7.74528i | 0.655768 | − | 0.544956i | ||||
\(203\) | −0.776513 | − | 0.111646i | −0.0545005 | − | 0.00783600i | ||||
\(204\) | 3.67207 | − | 0.374168i | 0.257096 | − | 0.0261970i | ||||
\(205\) | 0.238785 | − | 0.206908i | 0.0166774 | − | 0.0144511i | ||||
\(206\) | −5.02707 | + | 10.4327i | −0.350252 | + | 0.726884i | ||||
\(207\) | 2.49962 | + | 4.09291i | 0.173736 | + | 0.284477i | ||||
\(208\) | 25.0422 | + | 5.73968i | 1.73637 | + | 0.397975i | ||||
\(209\) | 5.03775 | + | 5.81387i | 0.348468 | + | 0.402154i | ||||
\(210\) | −0.848747 | + | 0.521039i | −0.0585691 | + | 0.0359551i | ||||
\(211\) | −11.1942 | − | 1.60949i | −0.770643 | − | 0.110802i | −0.254233 | − | 0.967143i | \(-0.581823\pi\) |
−0.516410 | + | 0.856341i | \(0.672732\pi\) | |||||||
\(212\) | 4.64601 | + | 18.6342i | 0.319090 | + | 1.27980i | ||||
\(213\) | 2.82236 | − | 0.405794i | 0.193385 | − | 0.0278045i | ||||
\(214\) | 11.5337 | + | 10.4182i | 0.788428 | + | 0.712173i | ||||
\(215\) | 2.96710 | − | 1.90684i | 0.202354 | − | 0.130045i | ||||
\(216\) | 2.24804 | − | 1.71649i | 0.152960 | − | 0.116792i | ||||
\(217\) | 3.06854 | − | 0.901004i | 0.208306 | − | 0.0611641i | ||||
\(218\) | 24.1594 | − | 10.4365i | 1.63628 | − | 0.706847i | ||||
\(219\) | −2.50666 | − | 2.17203i | −0.169384 | − | 0.146772i | ||||
\(220\) | 1.65081 | + | 1.15982i | 0.111297 | + | 0.0781950i | ||||
\(221\) | −10.7825 | + | 4.92421i | −0.725310 | + | 0.331238i | ||||
\(222\) | 1.17550 | + | 9.57375i | 0.0788946 | + | 0.642548i | ||||
\(223\) | −16.8570 | − | 4.94966i | −1.12883 | − | 0.331453i | −0.336580 | − | 0.941655i | \(-0.609270\pi\) |
−0.792246 | + | 0.610201i | \(0.791089\pi\) | |||||||
\(224\) | −2.27049 | + | 3.86150i | −0.151703 | + | 0.258007i | ||||
\(225\) | −1.74854 | + | 3.82877i | −0.116569 | + | 0.255251i | ||||
\(226\) | 18.7799 | + | 12.6239i | 1.24922 | + | 0.839730i | ||||
\(227\) | 4.30887 | − | 6.70473i | 0.285989 | − | 0.445008i | −0.668300 | − | 0.743892i | \(-0.732978\pi\) |
0.954290 | + | 0.298883i | \(0.0966142\pi\) | |||||||
\(228\) | 2.48240 | − | 13.3347i | 0.164401 | − | 0.883113i | ||||
\(229\) | − | 9.51660i | − | 0.628875i | −0.949278 | − | 0.314437i | \(-0.898184\pi\) | ||
0.949278 | − | 0.314437i | \(-0.101816\pi\) | |||||||
\(230\) | 6.02583 | + | 0.262658i | 0.397331 | + | 0.0173192i | ||||
\(231\) | 0.898244 | 0.0591001 | ||||||||
\(232\) | 1.65779 | − | 2.25905i | 0.108839 | − | 0.148314i | ||||
\(233\) | 20.4500 | + | 13.1424i | 1.33973 | + | 0.860989i | 0.996921 | − | 0.0784178i | \(-0.0249868\pi\) |
0.342804 | + | 0.939407i | \(0.388623\pi\) | |||||||
\(234\) | −5.06739 | + | 7.53848i | −0.331266 | + | 0.492806i | ||||
\(235\) | 10.3133 | + | 4.70993i | 0.672766 | + | 0.307242i | ||||
\(236\) | −12.2014 | − | 11.4871i | −0.794247 | − | 0.747748i | ||||
\(237\) | 2.03450 | − | 6.92887i | 0.132155 | − | 0.450078i | ||||
\(238\) | −0.251878 | − | 2.05139i | −0.0163268 | − | 0.132972i | ||||
\(239\) | −12.7572 | − | 27.9343i | −0.825193 | − | 1.80692i | −0.518379 | − | 0.855151i | \(-0.673464\pi\) |
−0.306814 | − | 0.951770i | \(-0.599263\pi\) | |||||||
\(240\) | −0.214338 | − | 3.55075i | −0.0138354 | − | 0.229200i | ||||
\(241\) | −12.4830 | + | 14.4061i | −0.804098 | + | 0.927978i | −0.998599 | − | 0.0529241i | \(-0.983146\pi\) |
0.194501 | + | 0.980902i | \(0.437691\pi\) | |||||||
\(242\) | 5.44749 | + | 12.6104i | 0.350178 | + | 0.810626i | ||||
\(243\) | 0.281733 | + | 0.959493i | 0.0180732 | + | 0.0615515i | ||||
\(244\) | 14.2724 | + | 7.24367i | 0.913697 | + | 0.463729i | ||||
\(245\) | −3.06406 | − | 4.76778i | −0.195756 | − | 0.304602i | ||||
\(246\) | 0.372859 | + | 0.336797i | 0.0237726 | + | 0.0214734i | ||||
\(247\) | 6.19915 | + | 43.1161i | 0.394443 | + | 2.74341i | ||||
\(248\) | −2.32176 | + | 11.1844i | −0.147432 | + | 0.710213i | ||||
\(249\) | 1.83508 | − | 12.7633i | 0.116294 | − | 0.808840i | ||||
\(250\) | 6.05941 | + | 9.87049i | 0.383231 | + | 0.624265i | ||||
\(251\) | 21.6251 | − | 18.7383i | 1.36497 | − | 1.18275i | 0.401202 | − | 0.915989i | \(-0.368592\pi\) |
0.963763 | − | 0.266760i | \(-0.0859530\pi\) | |||||||
\(252\) | −0.986894 | − | 1.23868i | −0.0621685 | − | 0.0780295i | ||||
\(253\) | −4.50778 | − | 3.04526i | −0.283402 | − | 0.191454i | ||||
\(254\) | 5.83489 | − | 12.1092i | 0.366114 | − | 0.759801i | ||||
\(255\) | 1.07479 | + | 1.24037i | 0.0673058 | + | 0.0776750i | ||||
\(256\) | −8.34909 | − | 13.6489i | −0.521818 | − | 0.853057i | ||||
\(257\) | −2.66700 | + | 18.5494i | −0.166363 | + | 1.15708i | 0.719961 | + | 0.694015i | \(0.244160\pi\) |
−0.886324 | + | 0.463066i | \(0.846749\pi\) | |||||||
\(258\) | 3.58477 | + | 4.31371i | 0.223178 | + | 0.268560i | ||||
\(259\) | 5.34604 | − | 0.768644i | 0.332187 | − | 0.0477612i | ||||
\(260\) | 4.31301 | + | 10.5783i | 0.267481 | + | 0.656041i | ||||
\(261\) | 0.535602 | + | 0.833413i | 0.0331529 | + | 0.0515870i | ||||
\(262\) | −0.167844 | + | 8.13586i | −0.0103694 | + | 0.502635i | ||||
\(263\) | 8.63886 | − | 2.53660i | 0.532695 | − | 0.156413i | −0.00431259 | − | 0.999991i | \(-0.501373\pi\) |
0.537008 | + | 0.843577i | \(0.319555\pi\) | |||||||
\(264\) | −1.51072 | + | 2.83040i | −0.0929786 | + | 0.174199i | ||||
\(265\) | −5.59212 | + | 6.45365i | −0.343521 | + | 0.396444i | ||||
\(266\) | −7.49376 | − | 1.23570i | −0.459472 | − | 0.0757658i | ||||
\(267\) | 1.22272 | − | 0.558399i | 0.0748294 | − | 0.0341735i | ||||
\(268\) | −7.83900 | + | 23.1230i | −0.478843 | + | 1.41246i | ||||
\(269\) | −0.511330 | + | 1.74143i | −0.0311764 | + | 0.106177i | −0.973611 | − | 0.228213i | \(-0.926712\pi\) |
0.942435 | + | 0.334389i | \(0.108530\pi\) | |||||||
\(270\) | 1.19916 | + | 0.379139i | 0.0729783 | + | 0.0230737i | ||||
\(271\) | −7.75032 | + | 16.9708i | −0.470799 | + | 1.03090i | 0.514093 | + | 0.857734i | \(0.328129\pi\) |
−0.984892 | + | 0.173171i | \(0.944599\pi\) | |||||||
\(272\) | 6.88763 | + | 2.65648i | 0.417624 | + | 0.161073i | ||||
\(273\) | 4.27874 | + | 2.74978i | 0.258961 | + | 0.166424i | ||||
\(274\) | 9.31613 | − | 2.52796i | 0.562808 | − | 0.152719i | ||||
\(275\) | − | 4.77451i | − | 0.287914i | ||||||
\(276\) | 0.753236 | + | 9.56204i | 0.0453395 | + | 0.575567i | ||||
\(277\) | 5.85173i | 0.351596i | 0.984426 | + | 0.175798i | \(0.0562506\pi\) | ||||
−0.984426 | + | 0.175798i | \(0.943749\pi\) | |||||||
\(278\) | −1.09308 | − | 4.02828i | −0.0655589 | − | 0.241600i | ||||
\(279\) | −3.39749 | − | 2.18343i | −0.203402 | − | 0.130719i | ||||
\(280\) | −1.98532 | + | 0.161000i | −0.118645 | + | 0.00962157i | ||||
\(281\) | 1.99010 | − | 4.35771i | 0.118719 | − | 0.259959i | −0.840938 | − | 0.541132i | \(-0.817996\pi\) |
0.959657 | + | 0.281172i | \(0.0907233\pi\) | |||||||
\(282\) | −5.43539 | + | 17.1913i | −0.323673 | + | 1.02372i | ||||
\(283\) | 6.29052 | − | 21.4235i | 0.373932 | − | 1.27350i | −0.530793 | − | 0.847502i | \(-0.678106\pi\) |
0.904725 | − | 0.425995i | \(-0.140076\pi\) | |||||||
\(284\) | 5.40084 | + | 1.83096i | 0.320481 | + | 0.108647i | ||||
\(285\) | 5.48615 | − | 2.50544i | 0.324971 | − | 0.148409i | ||||
\(286\) | 1.67637 | − | 10.1661i | 0.0991258 | − | 0.601136i | ||||
\(287\) | 0.184241 | − | 0.212625i | 0.0108754 | − | 0.0125509i | ||||
\(288\) | 5.56295 | − | 1.02645i | 0.327800 | − | 0.0604842i | ||||
\(289\) | 13.0433 | − | 3.82987i | 0.767255 | − | 0.225286i | ||||
\(290\) | 1.24568 | + | 0.0256985i | 0.0731488 | + | 0.00150907i | ||||
\(291\) | 4.17332 | + | 6.49381i | 0.244644 | + | 0.380674i | ||||
\(292\) | −2.50448 | − | 6.14263i | −0.146563 | − | 0.359470i | ||||
\(293\) | −6.86929 | + | 0.987655i | −0.401308 | + | 0.0576994i | −0.340014 | − | 0.940420i | \(-0.610432\pi\) |
−0.0612941 | + | 0.998120i | \(0.519523\pi\) | |||||||
\(294\) | 6.93162 | − | 5.76031i | 0.404260 | − | 0.335948i | ||||
\(295\) | 1.06045 | − | 7.37561i | 0.0617420 | − | 0.429425i | ||||
\(296\) | −6.56927 | + | 18.1383i | −0.381831 | + | 1.05427i | ||||
\(297\) | −0.742822 | − | 0.857262i | −0.0431029 | − | 0.0497434i | ||||
\(298\) | 22.1934 | + | 10.6940i | 1.28563 | + | 0.619486i | ||||
\(299\) | −12.1502 | − | 28.3056i | −0.702662 | − | 1.63695i | ||||
\(300\) | −6.58406 | + | 5.24572i | −0.380131 | + | 0.302862i | ||||
\(301\) | 2.37351 | − | 2.05666i | 0.136807 | − | 0.118544i | ||||
\(302\) | −2.62909 | + | 1.61397i | −0.151287 | + | 0.0928738i | ||||
\(303\) | −1.21950 | + | 8.48179i | −0.0700583 | + | 0.487266i | ||||
\(304\) | 16.4972 | − | 21.5348i | 0.946180 | − | 1.23511i | ||||
\(305\) | 1.01283 | + | 7.04438i | 0.0579944 | + | 0.403360i | ||||
\(306\) | −1.74950 | + | 1.93682i | −0.100012 | + | 0.110721i | ||||
\(307\) | 13.2337 | + | 20.5921i | 0.755288 | + | 1.17525i | 0.979644 | + | 0.200744i | \(0.0643360\pi\) |
−0.224355 | + | 0.974507i | \(0.572028\pi\) | |||||||
\(308\) | 1.60197 | + | 0.813050i | 0.0912809 | + | 0.0463278i | ||||
\(309\) | −2.30706 | − | 7.85711i | −0.131244 | − | 0.446976i | ||||
\(310\) | −4.66275 | + | 2.01423i | −0.264826 | + | 0.114401i | ||||
\(311\) | 5.03456 | − | 5.81019i | 0.285484 | − | 0.329466i | −0.594836 | − | 0.803847i | \(-0.702783\pi\) |
0.880319 | + | 0.474382i | \(0.157328\pi\) | |||||||
\(312\) | −15.8609 | + | 8.85773i | −0.897948 | + | 0.501470i | ||||
\(313\) | −9.61647 | − | 21.0571i | −0.543555 | − | 1.19022i | −0.959727 | − | 0.280934i | \(-0.909356\pi\) |
0.416172 | − | 0.909286i | \(-0.363371\pi\) | |||||||
\(314\) | −6.26969 | + | 0.769817i | −0.353819 | + | 0.0434433i | ||||
\(315\) | 0.198402 | − | 0.675695i | 0.0111787 | − | 0.0380711i | ||||
\(316\) | 9.90012 | − | 10.5158i | 0.556925 | − | 0.591557i | ||||
\(317\) | 19.0697 | + | 8.70884i | 1.07106 | + | 0.489137i | 0.871322 | − | 0.490712i | \(-0.163263\pi\) |
0.199739 | + | 0.979849i | \(0.435990\pi\) | |||||||
\(318\) | −11.2702 | − | 7.57584i | −0.632000 | − | 0.424832i | ||||
\(319\) | −0.945357 | − | 0.607544i | −0.0529298 | − | 0.0340159i | ||||
\(320\) | 2.83172 | − | 6.52660i | 0.158298 | − | 0.364848i | ||||
\(321\) | −10.9901 | −0.613409 | ||||||||
\(322\) | 5.34436 | − | 0.532114i | 0.297829 | − | 0.0296535i | ||||
\(323\) | 12.5163i | 0.696424i | ||||||||
\(324\) | −0.366033 | + | 1.96622i | −0.0203352 | + | 0.109234i | ||||
\(325\) | 14.6161 | − | 22.7432i | 0.810758 | − | 1.26156i | ||||
\(326\) | 13.8884 | − | 20.6610i | 0.769208 | − | 1.14431i | ||||
\(327\) | −7.73048 | + | 16.9274i | −0.427497 | + | 0.936087i | ||||
\(328\) | 0.360123 | + | 0.938156i | 0.0198844 | + | 0.0518010i | ||||
\(329\) | 9.68685 | + | 2.84432i | 0.534053 | + | 0.156812i | ||||
\(330\) | −1.41596 | + | 0.173857i | −0.0779461 | + | 0.00957053i | ||||
\(331\) | −20.5852 | + | 9.40095i | −1.13147 | + | 0.516723i | −0.891031 | − | 0.453942i | \(-0.850017\pi\) |
−0.240435 | + | 0.970665i | \(0.577290\pi\) | |||||||
\(332\) | 14.8255 | − | 21.1016i | 0.813656 | − | 1.15810i | ||||
\(333\) | −5.15459 | − | 4.46648i | −0.282470 | − | 0.244762i | ||||
\(334\) | 0.865253 | + | 2.00297i | 0.0473445 | + | 0.109598i | ||||
\(335\) | −10.4167 | + | 3.05861i | −0.569124 | + | 0.167110i | ||||
\(336\) | −0.638879 | − | 3.10242i | −0.0348537 | − | 0.169251i | ||||
\(337\) | 8.25875 | − | 5.30757i | 0.449883 | − | 0.289122i | −0.296014 | − | 0.955184i | \(-0.595658\pi\) |
0.745897 | + | 0.666062i | \(0.232021\pi\) | |||||||
\(338\) | 26.7832 | − | 29.6510i | 1.45682 | − | 1.61280i | ||||
\(339\) | −15.8379 | + | 2.27714i | −0.860196 | + | 0.123678i | ||||
\(340\) | 0.794103 | + | 3.18499i | 0.0430663 | + | 0.172730i | ||||
\(341\) | 4.53444 | + | 0.651954i | 0.245554 | + | 0.0353053i | ||||
\(342\) | 5.01780 | + | 8.17375i | 0.271331 | + | 0.441986i | ||||
\(343\) | −6.93480 | − | 8.00319i | −0.374444 | − | 0.432132i | ||||
\(344\) | 2.48870 | + | 10.9381i | 0.134181 | + | 0.589740i | ||||
\(345\) | −3.28643 | + | 2.71830i | −0.176936 | + | 0.146348i | ||||
\(346\) | 0.707230 | + | 0.340782i | 0.0380209 | + | 0.0183206i | ||||
\(347\) | −14.4921 | + | 12.5575i | −0.777976 | + | 0.674120i | −0.950444 | − | 0.310895i | \(-0.899371\pi\) |
0.172468 | + | 0.985015i | \(0.444826\pi\) | |||||||
\(348\) | 0.200852 | + | 1.97115i | 0.0107668 | + | 0.105665i | ||||
\(349\) | −0.0289926 | − | 0.00416851i | −0.00155194 | − | 0.000223135i | 0.141539 | − | 0.989933i | \(-0.454795\pi\) |
−0.143091 | + | 0.989710i | \(0.545704\pi\) | |||||||
\(350\) | 3.01272 | + | 3.62533i | 0.161037 | + | 0.193782i | ||||
\(351\) | −0.914073 | − | 6.35752i | −0.0487896 | − | 0.339339i | ||||
\(352\) | −5.25625 | + | 3.68044i | −0.280159 | + | 0.196168i | ||||
\(353\) | −11.1652 | + | 7.17541i | −0.594262 | + | 0.381909i | −0.802926 | − | 0.596079i | \(-0.796725\pi\) |
0.208665 | + | 0.977987i | \(0.433088\pi\) | |||||||
\(354\) | 11.8472 | + | 0.244408i | 0.629669 | + | 0.0129902i | ||||
\(355\) | 0.714401 | + | 2.43303i | 0.0379165 | + | 0.129132i | ||||
\(356\) | 2.68610 | + | 0.110876i | 0.142363 | + | 0.00587644i | ||||
\(357\) | 1.10449 | + | 0.957042i | 0.0584556 | + | 0.0506520i | ||||
\(358\) | −21.7587 | − | 3.58796i | −1.14999 | − | 0.189630i | ||||
\(359\) | −4.40130 | − | 9.63751i | −0.232292 | − | 0.508648i | 0.757209 | − | 0.653172i | \(-0.226562\pi\) |
−0.989501 | + | 0.144524i | \(0.953835\pi\) | |||||||
\(360\) | 1.79546 | + | 1.76160i | 0.0946288 | + | 0.0928443i | ||||
\(361\) | 25.9008 | + | 7.60515i | 1.36320 | + | 0.400271i | ||||
\(362\) | 0.577719 | − | 1.82723i | 0.0303642 | − | 0.0960371i | ||||
\(363\) | −8.83554 | − | 4.03506i | −0.463746 | − | 0.211786i | ||||
\(364\) | 5.14195 | + | 8.77702i | 0.269511 | + | 0.460041i | ||||
\(365\) | 1.59469 | − | 2.48139i | 0.0834699 | − | 0.129882i | ||||
\(366\) | −10.9225 | + | 2.96386i | −0.570930 | + | 0.154923i | ||||
\(367\) | −14.5413 | −0.759051 | −0.379525 | − | 0.925181i | \(-0.623913\pi\) | ||||
−0.379525 | + | 0.925181i | \(0.623913\pi\) | |||||||
\(368\) | −7.31176 | + | 17.7352i | −0.381152 | + | 0.924512i | ||||
\(369\) | −0.355286 | −0.0184955 | ||||||||
\(370\) | −8.27854 | + | 2.24640i | −0.430381 | + | 0.116785i | ||||
\(371\) | −4.11098 | + | 6.39680i | −0.213431 | + | 0.332105i | ||||
\(372\) | −4.08291 | − | 6.96929i | −0.211689 | − | 0.361341i | ||||
\(373\) | 17.5388 | + | 8.00970i | 0.908124 | + | 0.414726i | 0.814021 | − | 0.580836i | \(-0.197274\pi\) |
0.0941036 | + | 0.995562i | \(0.470001\pi\) | |||||||
\(374\) | 0.892499 | − | 2.82283i | 0.0461501 | − | 0.145965i | ||||
\(375\) | −7.85798 | − | 2.30731i | −0.405784 | − | 0.119149i | ||||
\(376\) | −25.2545 | + | 25.7399i | −1.30240 | + | 1.32743i | ||||
\(377\) | −2.64330 | − | 5.78802i | −0.136137 | − | 0.298098i | ||||
\(378\) | 1.10496 | + | 0.182206i | 0.0568332 | + | 0.00937165i | ||||
\(379\) | −19.5646 | − | 16.9528i | −1.00496 | − | 0.870806i | −0.0133331 | − | 0.999911i | \(-0.504244\pi\) |
−0.991631 | + | 0.129105i | \(0.958790\pi\) | |||||||
\(380\) | 12.0521 | + | 0.497484i | 0.618259 | + | 0.0255204i | ||||
\(381\) | 2.67779 | + | 9.11972i | 0.137187 | + | 0.467217i | ||||
\(382\) | 17.0473 | + | 0.351687i | 0.872214 | + | 0.0179939i | ||||
\(383\) | −7.35781 | + | 4.72858i | −0.375967 | + | 0.241619i | −0.714954 | − | 0.699172i | \(-0.753552\pi\) |
0.338987 | + | 0.940791i | \(0.389916\pi\) | |||||||
\(384\) | 10.8503 | + | 3.20470i | 0.553704 | + | 0.163539i | ||||
\(385\) | 0.113683 | + | 0.790681i | 0.00579381 | + | 0.0402968i | ||||
\(386\) | 11.9003 | + | 14.3202i | 0.605712 | + | 0.728878i | ||||
\(387\) | −3.92565 | − | 0.564424i | −0.199552 | − | 0.0286913i | ||||
\(388\) | 1.56500 | + | 15.3589i | 0.0794510 | + | 0.779729i | ||||
\(389\) | −4.84591 | + | 4.19901i | −0.245697 | + | 0.212898i | −0.769000 | − | 0.639249i | \(-0.779245\pi\) |
0.523302 | + | 0.852147i | \(0.324700\pi\) | |||||||
\(390\) | −7.27709 | − | 3.50650i | −0.368490 | − | 0.177559i | ||||
\(391\) | −2.29818 | − | 8.54733i | −0.116224 | − | 0.432257i | ||||
\(392\) | 17.5762 | − | 3.99904i | 0.887730 | − | 0.201982i | ||||
\(393\) | −3.76816 | − | 4.34869i | −0.190079 | − | 0.219362i | ||||
\(394\) | −15.3572 | − | 25.0162i | −0.773686 | − | 1.26030i | ||||
\(395\) | 6.35663 | + | 0.913946i | 0.319837 | + | 0.0459856i | ||||
\(396\) | −0.548831 | − | 2.20125i | −0.0275798 | − | 0.110617i | ||||
\(397\) | −6.69573 | + | 0.962700i | −0.336049 | + | 0.0483165i | −0.308274 | − | 0.951298i | \(-0.599751\pi\) |
−0.0277750 | + | 0.999614i | \(0.508842\pi\) | |||||||
\(398\) | 2.05180 | − | 2.27149i | 0.102847 | − | 0.113859i | ||||
\(399\) | 4.51791 | − | 2.90348i | 0.226178 | − | 0.145356i | ||||
\(400\) | −16.4905 | + | 3.39589i | −0.824527 | + | 0.169794i | ||||
\(401\) | 34.1537 | − | 10.0284i | 1.70555 | − | 0.500796i | 0.723648 | − | 0.690169i | \(-0.242464\pi\) |
0.981905 | + | 0.189373i | \(0.0606455\pi\) | |||||||
\(402\) | −6.84647 | − | 15.8489i | −0.341471 | − | 0.790470i | ||||
\(403\) | 19.6038 | + | 16.9868i | 0.976533 | + | 0.846171i | ||||
\(404\) | −9.85224 | + | 14.0230i | −0.490167 | + | 0.697671i | ||||
\(405\) | −0.808939 | + | 0.369430i | −0.0401965 | + | 0.0183571i | ||||
\(406\) | 1.10118 | − | 0.135207i | 0.0546506 | − | 0.00671021i | ||||
\(407\) | 7.42325 | + | 2.17966i | 0.367957 | + | 0.108042i | ||||
\(408\) | −4.87327 | + | 1.87066i | −0.241263 | + | 0.0926116i | ||||
\(409\) | 11.9733 | − | 26.2178i | 0.592040 | − | 1.29639i | −0.342161 | − | 0.939641i | \(-0.611159\pi\) |
0.934202 | − | 0.356746i | \(-0.116114\pi\) | |||||||
\(410\) | −0.249277 | + | 0.370835i | −0.0123109 | + | 0.0183143i | ||||
\(411\) | −3.69026 | + | 5.74216i | −0.182027 | + | 0.283240i | ||||
\(412\) | 2.99738 | − | 16.1010i | 0.147670 | − | 0.793240i | ||||
\(413\) | − | 6.63514i | − | 0.326494i | ||||||
\(414\) | −4.92747 | − | 4.66048i | −0.242172 | − | 0.229050i | ||||
\(415\) | 11.4671 | 0.562900 | ||||||||
\(416\) | −36.3048 | + | 1.44074i | −1.77999 | + | 0.0706379i | ||||
\(417\) | 2.48290 | + | 1.59566i | 0.121588 | + | 0.0781400i | ||||
\(418\) | −9.02901 | − | 6.06933i | −0.441623 | − | 0.296861i | ||||
\(419\) | 5.77576 | + | 2.63770i | 0.282164 | + | 0.128860i | 0.551470 | − | 0.834195i | \(-0.314067\pi\) |
−0.269306 | + | 0.963055i | \(0.586794\pi\) | |||||||
\(420\) | 0.965448 | − | 1.02548i | 0.0471090 | − | 0.0500385i | ||||
\(421\) | 5.82648 | − | 19.8432i | 0.283965 | − | 0.967097i | −0.686756 | − | 0.726888i | \(-0.740966\pi\) |
0.970721 | − | 0.240209i | \(-0.0772159\pi\) | |||||||
\(422\) | 15.8746 | − | 1.94915i | 0.772765 | − | 0.0948831i | ||||
\(423\) | −5.29620 | − | 11.5971i | −0.257510 | − | 0.563868i | ||||
\(424\) | −13.2425 | − | 23.7124i | −0.643111 | − | 1.15158i | ||||
\(425\) | 5.08705 | − | 5.87077i | 0.246758 | − | 0.284774i | ||||
\(426\) | −3.70183 | + | 1.59913i | −0.179354 | + | 0.0774782i | ||||
\(427\) | 1.78539 | + | 6.08046i | 0.0864008 | + | 0.294254i | ||||
\(428\) | −19.6003 | − | 9.94775i | −0.947418 | − | 0.480843i | ||||
\(429\) | 3.93890 | + | 6.12905i | 0.190172 | + | 0.295913i | ||||
\(430\) | −3.34345 | + | 3.70145i | −0.161236 | + | 0.178500i | ||||
\(431\) | −2.50765 | − | 17.4411i | −0.120789 | − | 0.840108i | −0.956665 | − | 0.291189i | \(-0.905949\pi\) |
0.835876 | − | 0.548918i | \(-0.184960\pi\) | |||||||
\(432\) | −2.43253 | + | 3.17534i | −0.117035 | + | 0.152774i | ||||
\(433\) | −3.23304 | + | 22.4863i | −0.155370 | + | 1.08062i | 0.751659 | + | 0.659552i | \(0.229254\pi\) |
−0.907029 | + | 0.421069i | \(0.861655\pi\) | |||||||
\(434\) | −3.85442 | + | 2.36620i | −0.185018 | + | 0.113581i | ||||
\(435\) | −0.665827 | + | 0.576942i | −0.0319239 | + | 0.0276623i | ||||
\(436\) | −29.1088 | + | 23.1919i | −1.39406 | + | 1.11069i | ||||
\(437\) | −32.5163 | − | 0.745860i | −1.55547 | − | 0.0356793i | ||||
\(438\) | 4.22566 | + | 2.03615i | 0.201910 | + | 0.0972912i | ||||
\(439\) | −7.49398 | − | 8.64851i | −0.357668 | − | 0.412771i | 0.548189 | − | 0.836355i | \(-0.315317\pi\) |
−0.905857 | + | 0.423583i | \(0.860772\pi\) | |||||||
\(440\) | −2.68266 | − | 0.971598i | −0.127891 | − | 0.0463191i | ||||
\(441\) | −0.906962 | + | 6.30806i | −0.0431887 | + | 0.300384i | ||||
\(442\) | 12.8929 | − | 10.7142i | 0.613251 | − | 0.509624i | ||||
\(443\) | 16.8742 | − | 2.42615i | 0.801718 | − | 0.115270i | 0.270737 | − | 0.962653i | \(-0.412733\pi\) |
0.530981 | + | 0.847384i | \(0.321823\pi\) | |||||||
\(444\) | −5.15011 | − | 12.6314i | −0.244413 | − | 0.599462i | ||||
\(445\) | 0.646281 | + | 1.00563i | 0.0306366 | + | 0.0476715i | ||||
\(446\) | 24.8405 | + | 0.512463i | 1.17623 | + | 0.0242658i | ||||
\(447\) | −16.7143 | + | 4.90776i | −0.790560 | + | 0.232129i | ||||
\(448\) | 1.66876 | − | 6.11129i | 0.0788413 | − | 0.288731i | ||||
\(449\) | 21.7897 | − | 25.1466i | 1.02832 | − | 1.18674i | 0.0461132 | − | 0.998936i | \(-0.485316\pi\) |
0.982206 | − | 0.187807i | \(-0.0601380\pi\) | |||||||
\(450\) | 0.968494 | − | 5.87331i | 0.0456552 | − | 0.276870i | ||||
\(451\) | 0.366589 | − | 0.167416i | 0.0172620 | − | 0.00788330i | ||||
\(452\) | −30.3073 | − | 10.2746i | −1.42553 | − | 0.483275i | ||||
\(453\) | 0.614571 | − | 2.09304i | 0.0288751 | − | 0.0983395i | ||||
\(454\) | −3.39784 | + | 10.7468i | −0.159469 | + | 0.504373i | ||||
\(455\) | −1.87898 | + | 4.11439i | −0.0880878 | + | 0.192885i | ||||
\(456\) | 1.55049 | + | 19.1194i | 0.0726082 | + | 0.895346i | ||||
\(457\) | −20.1637 | − | 12.9584i | −0.943219 | − | 0.606170i | −0.0239134 | − | 0.999714i | \(-0.507613\pi\) |
−0.919306 | + | 0.393544i | \(0.871249\pi\) | |||||||
\(458\) | 3.52454 | + | 12.9888i | 0.164691 | + | 0.606927i | ||||
\(459\) | − | 1.84554i | − | 0.0861424i | ||||||
\(460\) | −8.32167 | + | 1.87322i | −0.388000 | + | 0.0873393i | ||||
\(461\) | 0.746061i | 0.0347475i | 0.999849 | + | 0.0173738i | \(0.00553052\pi\) | ||||
−0.999849 | + | 0.0173738i | \(0.994469\pi\) | |||||||
\(462\) | −1.22597 | + | 0.332671i | −0.0570375 | + | 0.0154773i | ||||
\(463\) | −18.4416 | − | 11.8517i | −0.857054 | − | 0.550795i | 0.0367138 | − | 0.999326i | \(-0.488311\pi\) |
−0.893767 | + | 0.448531i | \(0.851947\pi\) | |||||||
\(464\) | −1.42599 | + | 3.69726i | −0.0661998 | + | 0.171641i | ||||
\(465\) | 1.49198 | − | 3.26698i | 0.0691889 | − | 0.151503i | ||||
\(466\) | −32.7787 | − | 10.3637i | −1.51845 | − | 0.480090i | ||||
\(467\) | −3.37078 | + | 11.4798i | −0.155981 | + | 0.531222i | −0.999987 | − | 0.00511143i | \(-0.998373\pi\) |
0.844006 | + | 0.536334i | \(0.180191\pi\) | |||||||
\(468\) | 4.12433 | − | 12.1657i | 0.190647 | − | 0.562359i | ||||
\(469\) | −8.79350 | + | 4.01586i | −0.406046 | + | 0.185435i | ||||
\(470\) | −15.8205 | − | 2.60877i | −0.729748 | − | 0.120334i | ||||
\(471\) | 2.92502 | − | 3.37566i | 0.134778 | − | 0.155542i | ||||
\(472\) | 20.9076 | + | 11.1594i | 0.962349 | + | 0.513653i | ||||
\(473\) | 4.31651 | − | 1.26744i | 0.198473 | − | 0.0582770i | ||||
\(474\) | −0.210642 | + | 10.2104i | −0.00967511 | + | 0.468979i | ||||
\(475\) | −15.4331 | − | 24.0144i | −0.708120 | − | 1.10186i | ||||
\(476\) | 1.10352 | + | 2.70657i | 0.0505800 | + | 0.124055i | ||||
\(477\) | 9.50461 | − | 1.36656i | 0.435186 | − | 0.0625703i | ||||
\(478\) | 27.7574 | + | 33.4016i | 1.26959 | + | 1.52776i | ||||
\(479\) | −0.545301 | + | 3.79266i | −0.0249155 | + | 0.173291i | −0.998480 | − | 0.0551231i | \(-0.982445\pi\) |
0.973564 | + | 0.228414i | \(0.0733540\pi\) | |||||||
\(480\) | 1.60759 | + | 4.76689i | 0.0733760 | + | 0.217578i | ||||
\(481\) | 28.6877 | + | 33.1074i | 1.30805 | + | 1.50957i | ||||
\(482\) | 11.7020 | − | 24.2854i | 0.533013 | − | 1.10617i | ||||
\(483\) | −2.55214 | + | 2.81234i | −0.116126 | + | 0.127966i | ||||
\(484\) | −12.1054 | − | 15.1939i | −0.550246 | − | 0.690630i | ||||
\(485\) | −5.18800 | + | 4.49543i | −0.235575 | + | 0.204127i | ||||
\(486\) | −0.739880 | − | 1.20523i | −0.0335616 | − | 0.0546703i | ||||
\(487\) | 0.693513 | − | 4.82349i | 0.0314261 | − | 0.218573i | −0.968057 | − | 0.250731i | \(-0.919329\pi\) |
0.999483 | + | 0.0321582i | \(0.0102380\pi\) | |||||||
\(488\) | −22.1625 | − | 4.60069i | −1.00325 | − | 0.208263i | ||||
\(489\) | 2.50524 | + | 17.4243i | 0.113291 | + | 0.787955i | ||||
\(490\) | 5.94779 | + | 5.37254i | 0.268694 | + | 0.242706i | ||||
\(491\) | −0.0698481 | − | 0.108686i | −0.00315220 | − | 0.00490492i | 0.839674 | − | 0.543091i | \(-0.182746\pi\) |
−0.842826 | + | 0.538186i | \(0.819110\pi\) | |||||||
\(492\) | −0.633635 | − | 0.321589i | −0.0285665 | − | 0.0144983i | ||||
\(493\) | −0.515103 | − | 1.75428i | −0.0231991 | − | 0.0790087i | ||||
\(494\) | −24.4293 | − | 56.5514i | −1.09913 | − | 2.54437i | ||||
\(495\) | 0.660594 | − | 0.762366i | 0.0296915 | − | 0.0342658i | ||||
\(496\) | −0.973373 | − | 16.1250i | −0.0437057 | − | 0.724036i | ||||
\(497\) | 0.937985 | + | 2.05390i | 0.0420744 | + | 0.0921300i | ||||
\(498\) | 2.22235 | + | 18.0997i | 0.0995859 | + | 0.811066i | ||||
\(499\) | −3.00511 | + | 10.2345i | −0.134527 | + | 0.458158i | −0.999009 | − | 0.0445063i | \(-0.985829\pi\) |
0.864482 | + | 0.502664i | \(0.167647\pi\) | |||||||
\(500\) | −11.9258 | − | 11.2277i | −0.533340 | − | 0.502116i | ||||
\(501\) | −1.40339 | − | 0.640908i | −0.0626990 | − | 0.0286337i | ||||
\(502\) | −22.5753 | + | 33.5841i | −1.00759 | + | 1.49893i | ||||
\(503\) | −16.1529 | − | 10.3808i | −0.720221 | − | 0.462858i | 0.128493 | − | 0.991710i | \(-0.458986\pi\) |
−0.848714 | + | 0.528852i | \(0.822623\pi\) | |||||||
\(504\) | 1.80572 | + | 1.32512i | 0.0804333 | + | 0.0590254i | ||||
\(505\) | −7.62045 | −0.339106 | ||||||||
\(506\) | 7.28031 | + | 2.48686i | 0.323649 | + | 0.110554i | ||||
\(507\) | 28.2535i | 1.25478i | ||||||||
\(508\) | −3.47905 | + | 18.6884i | −0.154358 | + | 0.829163i | ||||
\(509\) | −19.5110 | + | 30.3596i | −0.864808 | + | 1.34567i | 0.0725734 | + | 0.997363i | \(0.476879\pi\) |
−0.937381 | + | 0.348305i | \(0.886758\pi\) | |||||||
\(510\) | −1.92631 | − | 1.29487i | −0.0852985 | − | 0.0573379i | ||||
\(511\) | 1.09108 | − | 2.38914i | 0.0482667 | − | 0.105689i | ||||
\(512\) | 16.4503 | + | 15.5367i | 0.727007 | + | 0.686630i | ||||
\(513\) | −6.50719 | − | 1.91068i | −0.287299 | − | 0.0843587i | ||||
\(514\) | −3.22984 | − | 26.3050i | −0.142462 | − | 1.16027i | ||||
\(515\) | 6.62425 | − | 3.02520i | 0.291900 | − | 0.133306i | ||||
\(516\) | −6.49032 | − | 4.55995i | −0.285720 | − | 0.200740i | ||||
\(517\) | 10.9294 | + | 9.47037i | 0.480674 | + | 0.416506i | ||||
\(518\) | −7.01190 | + | 3.02903i | −0.308085 | + | 0.133088i | ||||
\(519\) | −0.532629 | + | 0.156394i | −0.0233798 | + | 0.00686494i | ||||
\(520\) | −9.80441 | − | 12.8406i | −0.429952 | − | 0.563096i | ||||
\(521\) | 14.4807 | − | 9.30618i | 0.634411 | − | 0.407711i | −0.183529 | − | 0.983014i | \(-0.558752\pi\) |
0.817940 | + | 0.575303i | \(0.195116\pi\) | |||||||
\(522\) | −1.03968 | − | 0.939125i | −0.0455056 | − | 0.0411044i | ||||
\(523\) | 17.7935 | − | 2.55832i | 0.778054 | − | 0.111867i | 0.258165 | − | 0.966101i | \(-0.416882\pi\) |
0.519889 | + | 0.854234i | \(0.325973\pi\) | |||||||
\(524\) | −2.78409 | − | 11.1664i | −0.121624 | − | 0.487808i | ||||
\(525\) | −3.29920 | − | 0.474354i | −0.143989 | − | 0.0207025i | ||||
\(526\) | −10.8514 | + | 6.66157i | −0.473142 | + | 0.290458i | ||||
\(527\) | 4.88094 | + | 5.63290i | 0.212617 | + | 0.245373i | ||||
\(528\) | 1.01366 | − | 4.42260i | 0.0441139 | − | 0.192469i | ||||
\(529\) | 22.3422 | − | 5.46116i | 0.971402 | − | 0.237442i | ||||
\(530\) | 5.24228 | − | 10.8794i | 0.227710 | − | 0.472571i | ||||
\(531\) | −6.33241 | + | 5.48707i | −0.274803 | + | 0.238118i | ||||
\(532\) | 10.6856 | − | 1.08881i | 0.463278 | − | 0.0472060i | ||||
\(533\) | 2.25874 | + | 0.324757i | 0.0978368 | + | 0.0140668i | ||||
\(534\) | −1.46203 | + | 1.21498i | −0.0632684 | + | 0.0525773i | ||||
\(535\) | −1.39092 | − | 9.67407i | −0.0601348 | − | 0.418246i | ||||
\(536\) | 2.13534 | − | 34.4628i | 0.0922326 | − | 1.48857i | ||||
\(537\) | 13.1181 | − | 8.43050i | 0.566088 | − | 0.363803i | ||||
\(538\) | 0.0529406 | − | 2.56618i | 0.00228243 | − | 0.110636i | ||||
\(539\) | −2.03663 | − | 6.93612i | −0.0877238 | − | 0.298760i | ||||
\(540\) | −1.77709 | − | 0.0733546i | −0.0764739 | − | 0.00315668i | ||||
\(541\) | 9.84429 | + | 8.53013i | 0.423239 | + | 0.366739i | 0.840283 | − | 0.542147i | \(-0.182389\pi\) |
−0.417044 | + | 0.908886i | \(0.636934\pi\) | |||||||
\(542\) | 4.29280 | − | 26.0332i | 0.184392 | − | 1.11822i | ||||
\(543\) | 0.562924 | + | 1.23263i | 0.0241574 | + | 0.0528973i | ||||
\(544\) | −10.3845 | − | 1.07483i | −0.445231 | − | 0.0460828i | ||||
\(545\) | −15.8787 | − | 4.66242i | −0.680171 | − | 0.199716i | ||||
\(546\) | −6.85828 | − | 2.16839i | −0.293507 | − | 0.0927987i | ||||
\(547\) | 5.73105 | + | 2.61728i | 0.245042 | + | 0.111907i | 0.534151 | − | 0.845389i | \(-0.320632\pi\) |
−0.289108 | + | 0.957296i | \(0.593359\pi\) | |||||||
\(548\) | −11.7789 | + | 6.90060i | −0.503172 | + | 0.294779i | ||||
\(549\) | 4.32658 | − | 6.73229i | 0.184654 | − | 0.287327i | ||||
\(550\) | 1.76828 | + | 6.51653i | 0.0753996 | + | 0.277866i | ||||
\(551\) | −6.71870 | −0.286226 | ||||||||
\(552\) | −4.56943 | − | 12.7719i | −0.194488 | − | 0.543606i | ||||
\(553\) | 5.71846 | 0.243174 | ||||||||
\(554\) | −2.16723 | − | 7.98678i | −0.0920769 | − | 0.339326i | ||||
\(555\) | 3.27926 | − | 5.10262i | 0.139197 | − | 0.216594i | ||||
\(556\) | 2.98381 | + | 5.09320i | 0.126542 | + | 0.216000i | ||||
\(557\) | 7.29692 | + | 3.33239i | 0.309180 | + | 0.141198i | 0.563962 | − | 0.825801i | \(-0.309276\pi\) |
−0.254782 | + | 0.966999i | \(0.582004\pi\) | |||||||
\(558\) | 5.44574 | + | 1.72179i | 0.230536 | + | 0.0728891i | ||||
\(559\) | 24.4415 | + | 7.17667i | 1.03376 | + | 0.303541i | ||||
\(560\) | 2.65005 | − | 0.955020i | 0.111985 | − | 0.0403569i | ||||
\(561\) | 0.869644 | + | 1.90425i | 0.0367164 | + | 0.0803977i | ||||
\(562\) | −1.10229 | + | 6.68471i | −0.0464974 | + | 0.281977i | ||||
\(563\) | −13.1243 | − | 11.3723i | −0.553122 | − | 0.479283i | 0.332877 | − | 0.942970i | \(-0.391981\pi\) |
−0.885999 | + | 0.463687i | \(0.846526\pi\) | |||||||
\(564\) | 1.05162 | − | 25.4767i | 0.0442812 | − | 1.07276i | ||||
\(565\) | −4.00892 | − | 13.6531i | −0.168657 | − | 0.574391i | ||||
\(566\) | −0.651289 | + | 31.5698i | −0.0273757 | + | 1.32698i | ||||
\(567\) | −0.666171 | + | 0.428122i | −0.0279765 | + | 0.0179794i | ||||
\(568\) | −8.04948 | − | 0.498752i | −0.337749 | − | 0.0209272i | ||||
\(569\) | 1.19462 | + | 8.30879i | 0.0500812 | + | 0.348322i | 0.999420 | + | 0.0340667i | \(0.0108459\pi\) |
−0.949338 | + | 0.314256i | \(0.898245\pi\) | |||||||
\(570\) | −6.55990 | + | 5.45140i | −0.274764 | + | 0.228334i | ||||
\(571\) | −41.6652 | − | 5.99056i | −1.74364 | − | 0.250697i | −0.804429 | − | 0.594049i | \(-0.797529\pi\) |
−0.939207 | + | 0.343352i | \(0.888438\pi\) | |||||||
\(572\) | 1.47710 | + | 14.4962i | 0.0617606 | + | 0.606115i | ||||
\(573\) | −9.11192 | + | 7.89553i | −0.380656 | + | 0.329840i | ||||
\(574\) | −0.172715 | + | 0.358438i | −0.00720899 | + | 0.0149609i | ||||
\(575\) | 14.9487 | + | 13.5656i | 0.623402 | + | 0.565725i | ||||
\(576\) | −7.21248 | + | 3.46124i | −0.300520 | + | 0.144218i | ||||
\(577\) | 7.04697 | + | 8.13264i | 0.293369 | + | 0.338566i | 0.883231 | − | 0.468938i | \(-0.155363\pi\) |
−0.589862 | + | 0.807504i | \(0.700818\pi\) | |||||||
\(578\) | −16.3839 | + | 10.0579i | −0.681479 | + | 0.418354i | ||||
\(579\) | −13.0320 | − | 1.87371i | −0.541590 | − | 0.0778689i | ||||
\(580\) | −1.70969 | + | 0.426272i | −0.0709910 | + | 0.0177000i | ||||
\(581\) | 10.1070 | − | 1.45316i | 0.419308 | − | 0.0602873i | ||||
\(582\) | −8.10101 | − | 7.31750i | −0.335798 | − | 0.303320i | ||||
\(583\) | −9.16305 | + | 5.88873i | −0.379495 | + | 0.243886i | ||||
\(584\) | 5.69322 | + | 7.45626i | 0.235587 | + | 0.308542i | ||||
\(585\) | 5.48053 | − | 1.60923i | 0.226592 | − | 0.0665334i | ||||
\(586\) | 9.00981 | − | 3.89210i | 0.372192 | − | 0.160781i | ||||
\(587\) | 7.16606 | + | 6.20943i | 0.295775 | + | 0.256290i | 0.790088 | − | 0.612994i | \(-0.210035\pi\) |
−0.494313 | + | 0.869284i | \(0.664580\pi\) | |||||||
\(588\) | −7.32729 | + | 10.4292i | −0.302172 | + | 0.430092i | ||||
\(589\) | 24.9143 | − | 11.3780i | 1.02657 | − | 0.468821i | ||||
\(590\) | 1.28425 | + | 10.4594i | 0.0528716 | + | 0.430607i | ||||
\(591\) | 19.9156 | + | 5.84775i | 0.819218 | + | 0.240544i | ||||
\(592\) | 2.24845 | − | 27.1892i | 0.0924108 | − | 1.11747i | ||||
\(593\) | −5.50888 | + | 12.0628i | −0.226223 | + | 0.495358i | −0.988374 | − | 0.152040i | \(-0.951416\pi\) |
0.762152 | + | 0.647398i | \(0.224143\pi\) | |||||||
\(594\) | 1.33134 | + | 0.894931i | 0.0546255 | + | 0.0367194i | ||||
\(595\) | −0.702653 | + | 1.09335i | −0.0288060 | + | 0.0448230i | ||||
\(596\) | −34.2514 | − | 6.37628i | −1.40299 | − | 0.261182i | ||||
\(597\) | 2.16443i | 0.0885843i | ||||||||
\(598\) | 27.0664 | + | 34.1331i | 1.10683 | + | 1.39581i | ||||
\(599\) | −22.7159 | −0.928148 | −0.464074 | − | 0.885797i | \(-0.653613\pi\) | ||||
−0.464074 | + | 0.885797i | \(0.653613\pi\) | |||||||
\(600\) | 7.04351 | − | 9.59811i | 0.287550 | − | 0.391841i | ||||
\(601\) | 36.7366 | + | 23.6092i | 1.49852 | + | 0.963038i | 0.995087 | + | 0.0990016i | \(0.0315649\pi\) |
0.503429 | + | 0.864036i | \(0.332071\pi\) | |||||||
\(602\) | −2.47781 | + | 3.68610i | −0.100988 | + | 0.150234i | ||||
\(603\) | 11.1046 | + | 5.07131i | 0.452215 | + | 0.206520i | ||||
\(604\) | 2.99058 | − | 3.17655i | 0.121685 | − | 0.129252i | ||||
\(605\) | 2.43363 | − | 8.28818i | 0.0989411 | − | 0.336963i | ||||
\(606\) | −1.47686 | − | 12.0281i | −0.0599932 | − | 0.488607i | ||||
\(607\) | −1.62460 | − | 3.55738i | −0.0659406 | − | 0.144390i | 0.873792 | − | 0.486299i | \(-0.161654\pi\) |
−0.939733 | + | 0.341910i | \(0.888926\pi\) | |||||||
\(608\) | −14.5408 | + | 35.5018i | −0.589705 | + | 1.43979i | ||||
\(609\) | −0.513737 | + | 0.592884i | −0.0208177 | + | 0.0240249i | ||||
\(610\) | −3.99131 | − | 9.23947i | −0.161603 | − | 0.374095i | ||||
\(611\) | 23.0701 | + | 78.5696i | 0.933317 | + | 3.17859i | ||||
\(612\) | 1.67050 | − | 3.29143i | 0.0675259 | − | 0.133048i | ||||
\(613\) | −15.2816 | − | 23.7786i | −0.617218 | − | 0.960409i | −0.999341 | − | 0.0362980i | \(-0.988443\pi\) |
0.382123 | − | 0.924111i | \(-0.375193\pi\) | |||||||
\(614\) | −25.6886 | − | 23.2040i | −1.03671 | − | 0.936438i | ||||
\(615\) | −0.0449654 | − | 0.312741i | −0.00181318 | − | 0.0126109i | ||||
\(616\) | −2.48758 | − | 0.516393i | −0.100228 | − | 0.0208061i | ||||
\(617\) | 3.75600 | − | 26.1236i | 0.151211 | − | 1.05169i | −0.762983 | − | 0.646418i | \(-0.776266\pi\) |
0.914194 | − | 0.405277i | \(-0.132825\pi\) | |||||||
\(618\) | 6.05875 | + | 9.86940i | 0.243718 | + | 0.397006i | ||||
\(619\) | 10.8483 | − | 9.40011i | 0.436030 | − | 0.377822i | −0.409006 | − | 0.912532i | \(-0.634124\pi\) |
0.845036 | + | 0.534710i | \(0.179579\pi\) | |||||||
\(620\) | 5.61799 | − | 4.47603i | 0.225624 | − | 0.179762i | ||||
\(621\) | 4.79457 | + | 0.109978i | 0.192399 | + | 0.00441326i | ||||
\(622\) | −4.71961 | + | 9.79467i | −0.189239 | + | 0.392730i | ||||
\(623\) | 0.697060 | + | 0.804450i | 0.0279271 | + | 0.0322296i | ||||
\(624\) | 18.3674 | − | 17.9638i | 0.735283 | − | 0.719126i | ||||
\(625\) | −1.95862 | + | 13.6225i | −0.0783446 | + | 0.544899i | ||||
\(626\) | 20.9238 | + | 25.1784i | 0.836282 | + | 1.00633i | ||||
\(627\) | 7.61455 | − | 1.09481i | 0.304096 | − | 0.0437224i | ||||
\(628\) | 8.27212 | − | 3.37272i | 0.330094 | − | 0.134586i | ||||
\(629\) | 6.80532 | + | 10.5893i | 0.271346 | + | 0.422223i | ||||
\(630\) | −0.0205415 | + | 0.995706i | −0.000818395 | + | 0.0396699i | ||||
\(631\) | 42.4512 | − | 12.4648i | 1.68995 | − | 0.496215i | 0.711501 | − | 0.702685i | \(-0.248016\pi\) |
0.978453 | + | 0.206469i | \(0.0661973\pi\) | |||||||
\(632\) | −9.61766 | + | 18.0191i | −0.382570 | + | 0.716761i | ||||
\(633\) | −7.40605 | + | 8.54704i | −0.294364 | + | 0.339714i | ||||
\(634\) | −29.2528 | − | 4.82372i | −1.16178 | − | 0.191574i | ||||
\(635\) | −7.68874 | + | 3.51133i | −0.305118 | + | 0.139343i | ||||
\(636\) | 18.1879 | + | 6.16595i | 0.721199 | + | 0.244496i | ||||
\(637\) | 11.5321 | − | 39.2746i | 0.456917 | − | 1.55612i | ||||
\(638\) | 1.51529 | + | 0.479091i | 0.0599907 | + | 0.0189674i | ||||
\(639\) | 1.18451 | − | 2.59371i | 0.0468583 | − | 0.102605i | ||||
\(640\) | −1.44772 | + | 9.95662i | −0.0572260 | + | 0.393570i | ||||
\(641\) | 35.1135 | + | 22.5661i | 1.38690 | + | 0.891307i | 0.999531 | − | 0.0306176i | \(-0.00974740\pi\) |
0.387370 | + | 0.921925i | \(0.373384\pi\) | |||||||
\(642\) | 14.9999 | − | 4.07027i | 0.592000 | − | 0.160641i | ||||
\(643\) | 11.6049i | 0.457653i | 0.973467 | + | 0.228827i | \(0.0734889\pi\) | ||||
−0.973467 | + | 0.228827i | \(0.926511\pi\) | |||||||
\(644\) | −7.09721 | + | 2.70558i | −0.279669 | + | 0.106615i | ||||
\(645\) | − | 3.52700i | − | 0.138875i | ||||||
\(646\) | −4.63550 | − | 17.0829i | −0.182381 | − | 0.672119i | ||||
\(647\) | −5.04091 | − | 3.23960i | −0.198179 | − | 0.127362i | 0.437788 | − | 0.899078i | \(-0.355762\pi\) |
−0.635967 | + | 0.771717i | \(0.719398\pi\) | |||||||
\(648\) | −0.228621 | − | 2.81917i | −0.00898109 | − | 0.110748i | ||||
\(649\) | 3.94829 | − | 8.64555i | 0.154984 | − | 0.339368i | ||||
\(650\) | −11.5258 | + | 36.4544i | −0.452081 | + | 1.42986i | ||||
\(651\) | 0.901004 | − | 3.06854i | 0.0353131 | − | 0.120265i | ||||
\(652\) | −11.3037 | + | 33.3430i | −0.442688 | + | 1.30581i | ||||
\(653\) | 10.4282 | − | 4.76240i | 0.408087 | − | 0.186367i | −0.200786 | − | 0.979635i | \(-0.564349\pi\) |
0.608872 | + | 0.793268i | \(0.291622\pi\) | |||||||
\(654\) | 4.28182 | − | 25.9665i | 0.167432 | − | 1.01537i | ||||
\(655\) | 3.35104 | − | 3.86731i | 0.130936 | − | 0.151108i | ||||
\(656\) | −0.838969 | − | 1.14708i | −0.0327563 | − | 0.0447858i | ||||
\(657\) | −3.18243 | + | 0.934447i | −0.124159 | + | 0.0364562i | ||||
\(658\) | −14.2746 | − | 0.294487i | −0.556481 | − | 0.0114803i | ||||
\(659\) | −0.721176 | − | 1.12217i | −0.0280930 | − | 0.0437136i | 0.826923 | − | 0.562315i | \(-0.190089\pi\) |
−0.855016 | + | 0.518602i | \(0.826453\pi\) | |||||||
\(660\) | 1.86820 | − | 0.761702i | 0.0727194 | − | 0.0296492i | ||||
\(661\) | −25.0443 | + | 3.60083i | −0.974111 | + | 0.140056i | −0.610949 | − | 0.791670i | \(-0.709212\pi\) |
−0.363162 | + | 0.931726i | \(0.618303\pi\) | |||||||
\(662\) | 24.6142 | − | 20.4549i | 0.956657 | − | 0.795000i | ||||
\(663\) | −1.68696 | + | 11.7331i | −0.0655160 | + | 0.455674i | ||||
\(664\) | −12.4196 | + | 34.2915i | −0.481972 | + | 1.33077i | ||||
\(665\) | 3.12759 | + | 3.60943i | 0.121283 | + | 0.139968i | ||||
\(666\) | 8.68948 | + | 4.18706i | 0.336710 | + | 0.162245i | ||||
\(667\) | 4.58818 | − | 1.23366i | 0.177655 | − | 0.0477674i | ||||
\(668\) | −1.92276 | − | 2.41332i | −0.0743939 | − | 0.0933740i | ||||
\(669\) | −13.2775 | + | 11.5050i | −0.513337 | + | 0.444809i | ||||
\(670\) | 13.0845 | − | 8.03247i | 0.505498 | − | 0.310321i | ||||
\(671\) | −1.29188 | + | 8.98522i | −0.0498725 | + | 0.346871i | ||||
\(672\) | 2.02098 | + | 3.99774i | 0.0779611 | + | 0.154216i | ||||
\(673\) | −6.54254 | − | 45.5044i | −0.252196 | − | 1.75406i | −0.584967 | − | 0.811057i | \(-0.698893\pi\) |
0.332771 | − | 0.943008i | \(-0.392016\pi\) | |||||||
\(674\) | −9.30631 | + | 10.3028i | −0.358466 | + | 0.396848i | ||||
\(675\) | 2.27563 | + | 3.54095i | 0.0875891 | + | 0.136291i | ||||
\(676\) | −25.5738 | + | 50.3888i | −0.983609 | + | 1.93803i | ||||
\(677\) | −0.231590 | − | 0.788723i | −0.00890073 | − | 0.0303131i | 0.954923 | − | 0.296854i | \(-0.0959375\pi\) |
−0.963824 | + | 0.266541i | \(0.914119\pi\) | |||||||
\(678\) | 20.7731 | − | 8.97366i | 0.797786 | − | 0.344631i | ||||
\(679\) | −4.00295 | + | 4.61965i | −0.153619 | + | 0.177286i | ||||
\(680\) | −2.26342 | − | 4.05295i | −0.0867982 | − | 0.155424i | ||||
\(681\) | −3.31083 | − | 7.24970i | −0.126871 | − | 0.277809i | ||||
\(682\) | −6.43032 | + | 0.789540i | −0.246229 | + | 0.0302330i | ||||
\(683\) | 4.81528 | − | 16.3993i | 0.184252 | − | 0.627503i | −0.814619 | − | 0.579996i | \(-0.803054\pi\) |
0.998871 | − | 0.0475073i | \(-0.0151277\pi\) | |||||||
\(684\) | −9.87579 | − | 9.29762i | −0.377610 | − | 0.355503i | ||||
\(685\) | −5.52159 | − | 2.52163i | −0.210969 | − | 0.0963464i | ||||
\(686\) | 12.4291 | + | 8.35485i | 0.474544 | + | 0.318990i | ||||
\(687\) | −8.00587 | − | 5.14506i | −0.305443 | − | 0.196296i | ||||
\(688\) | −7.44771 | − | 14.0072i | −0.283941 | − | 0.534019i | ||||
\(689\) | −61.6748 | −2.34962 | ||||||||
\(690\) | 3.47877 | − | 4.92725i | 0.132435 | − | 0.187577i | ||||
\(691\) | 10.3711i | 0.394536i | 0.980350 | + | 0.197268i | \(0.0632070\pi\) | ||||
−0.980350 | + | 0.197268i | \(0.936793\pi\) | |||||||
\(692\) | −1.09148 | − | 0.203191i | −0.0414918 | − | 0.00772415i | ||||
\(693\) | 0.485627 | − | 0.755651i | 0.0184475 | − | 0.0287048i | ||||
\(694\) | 15.1289 | − | 22.5064i | 0.574285 | − | 0.854332i | ||||
\(695\) | −1.09035 | + | 2.38753i | −0.0413592 | + | 0.0905640i | ||||
\(696\) | −1.00417 | − | 2.61596i | −0.0380628 | − | 0.0991575i | ||||
\(697\) | 0.629135 | + | 0.184731i | 0.0238302 | + | 0.00699717i | ||||
\(698\) | 0.0411146 | − | 0.00504821i | 0.00155621 | − | 0.000191078i | ||||
\(699\) | 22.1122 | − | 10.0983i | 0.836361 | − | 0.381953i | ||||
\(700\) | −5.45460 | − | 3.83227i | −0.206164 | − | 0.144846i | ||||
\(701\) | −11.0751 | − | 9.59667i | −0.418303 | − | 0.362461i | 0.420132 | − | 0.907463i | \(-0.361984\pi\) |
−0.838435 | + | 0.545002i | \(0.816529\pi\) | |||||||
\(702\) | 3.60213 | + | 8.33857i | 0.135954 | + | 0.314719i | ||||
\(703\) | 44.3823 | − | 13.0318i | 1.67391 | − | 0.491504i | ||||
\(704\) | 5.81095 | − | 6.96997i | 0.219008 | − | 0.262691i | ||||
\(705\) | 9.53804 | − | 6.12973i | 0.359223 | − | 0.230859i | ||||
\(706\) | 12.5814 | − | 13.9285i | 0.473507 | − | 0.524207i | ||||
\(707\) | −6.71655 | + | 0.965694i | −0.252602 | + | 0.0363187i | ||||
\(708\) | −16.2602 | + | 4.05410i | −0.611095 | + | 0.152362i | ||||
\(709\) | 35.2292 | + | 5.06520i | 1.32306 | + | 0.190227i | 0.767393 | − | 0.641177i | \(-0.221554\pi\) |
0.555668 | + | 0.831405i | \(0.312463\pi\) | |||||||
\(710\) | −1.87615 | − | 3.05615i | −0.0704105 | − | 0.114695i | ||||
\(711\) | −4.72900 | − | 5.45756i | −0.177351 | − | 0.204674i | ||||
\(712\) | −3.70721 | + | 0.843488i | −0.138934 | + | 0.0316110i | ||||
\(713\) | −14.9247 | + | 12.3446i | −0.558935 | + | 0.462310i | ||||
\(714\) | −1.86191 | − | 0.897171i | −0.0696803 | − | 0.0335758i | ||||
\(715\) | −4.89660 | + | 4.24292i | −0.183122 | + | 0.158676i | ||||
\(716\) | 31.0264 | − | 3.16146i | 1.15951 | − | 0.118149i | ||||
\(717\) | −30.3969 | − | 4.37041i | −1.13519 | − | 0.163216i | ||||
\(718\) | 9.57647 | + | 11.5238i | 0.357391 | + | 0.430063i | ||||
\(719\) | −4.52051 | − | 31.4409i | −0.168587 | − | 1.17255i | −0.881808 | − | 0.471608i | \(-0.843674\pi\) |
0.713222 | − | 0.700938i | \(-0.247235\pi\) | |||||||
\(720\) | −3.10296 | − | 1.73937i | −0.115641 | − | 0.0648224i | ||||
\(721\) | 5.45515 | − | 3.50581i | 0.203160 | − | 0.130563i | ||||
\(722\) | −38.1675 | − | 0.787400i | −1.42045 | − | 0.0293040i | ||||
\(723\) | 5.37039 | + | 18.2899i | 0.199727 | + | 0.680207i | ||||
\(724\) | −0.111775 | + | 2.70787i | −0.00415408 | + | 0.100637i | ||||
\(725\) | 3.15141 | + | 2.73071i | 0.117040 | + | 0.101416i | ||||
\(726\) | 13.5537 | + | 2.23497i | 0.503024 | + | 0.0829474i | ||||
\(727\) | 7.98819 | + | 17.4917i | 0.296266 | + | 0.648731i | 0.997967 | − | 0.0637405i | \(-0.0203030\pi\) |
−0.701701 | + | 0.712472i | \(0.747576\pi\) | |||||||
\(728\) | −10.2687 | − | 10.0750i | −0.380582 | − | 0.373405i | ||||
\(729\) | 0.959493 | + | 0.281733i | 0.0355368 | + | 0.0104345i | ||||
\(730\) | −1.25752 | + | 3.97734i | −0.0465430 | + | 0.147208i | ||||
\(731\) | 6.65801 | + | 3.04061i | 0.246255 | + | 0.112461i | ||||
\(732\) | 13.8100 | − | 8.09049i | 0.510433 | − | 0.299033i | ||||
\(733\) | −6.20442 | + | 9.65426i | −0.229165 | + | 0.356588i | −0.936725 | − | 0.350065i | \(-0.886160\pi\) |
0.707560 | + | 0.706653i | \(0.249796\pi\) | |||||||
\(734\) | 19.8468 | − | 5.38549i | 0.732560 | − | 0.198782i | ||||
\(735\) | −5.66747 | −0.209048 | ||||||||
\(736\) | 3.41114 | − | 26.9140i | 0.125736 | − | 0.992064i | ||||
\(737\) | −13.8476 | −0.510081 | ||||||||
\(738\) | 0.484915 | − | 0.131583i | 0.0178500 | − | 0.00484363i | ||||
\(739\) | 8.02780 | − | 12.4915i | 0.295307 | − | 0.459507i | −0.661618 | − | 0.749841i | \(-0.730130\pi\) |
0.956925 | + | 0.290334i | \(0.0937663\pi\) | |||||||
\(740\) | 10.4670 | − | 6.13204i | 0.384776 | − | 0.225418i | ||||
\(741\) | 39.6231 | + | 18.0952i | 1.45559 | + | 0.664745i | ||||
\(742\) | 3.24179 | − | 10.2533i | 0.119010 | − | 0.376409i | ||||
\(743\) | −37.2247 | − | 10.9302i | −1.36564 | − | 0.400989i | −0.484894 | − | 0.874573i | \(-0.661142\pi\) |
−0.880749 | + | 0.473584i | \(0.842960\pi\) | |||||||
\(744\) | 8.15371 | + | 7.99996i | 0.298930 | + | 0.293293i | ||||
\(745\) | −6.43545 | − | 14.0917i | −0.235777 | − | 0.516279i | ||||
\(746\) | −26.9044 | − | 4.43647i | −0.985040 | − | 0.162431i | ||||
\(747\) | −9.74503 | − | 8.44412i | −0.356552 | − | 0.308954i | ||||
\(748\) | −0.172678 | + | 4.18330i | −0.00631372 | + | 0.152957i | ||||
\(749\) | −2.45187 | − | 8.35031i | −0.0895895 | − | 0.305114i | ||||
\(750\) | 11.5795 | + | 0.238888i | 0.422825 | + | 0.00872294i | ||||
\(751\) | 10.1777 | − | 6.54080i | 0.371389 | − | 0.238677i | −0.341611 | − | 0.939842i | \(-0.610972\pi\) |
0.713000 | + | 0.701164i | \(0.247336\pi\) | |||||||
\(752\) | 24.9358 | − | 44.4845i | 0.909316 | − | 1.62218i | ||||
\(753\) | −4.07222 | − | 28.3229i | −0.148400 | − | 1.03214i | ||||
\(754\) | 5.75136 | + | 6.92085i | 0.209452 | + | 0.252042i | ||||
\(755\) | 1.92018 | + | 0.276080i | 0.0698825 | + | 0.0100476i | ||||
\(756\) | −1.57560 | + | 0.160547i | −0.0573040 | + | 0.00583903i | ||||
\(757\) | −37.3684 | + | 32.3799i | −1.35818 | + | 1.17687i | −0.391710 | + | 0.920089i | \(0.628116\pi\) |
−0.966470 | + | 0.256780i | \(0.917338\pi\) | |||||||
\(758\) | 32.9814 | + | 15.8923i | 1.19794 | + | 0.577233i | ||||
\(759\) | −4.99893 | + | 2.14579i | −0.181450 | + | 0.0778872i | ||||
\(760\) | −16.6336 | + | 3.78458i | −0.603365 | + | 0.137281i | ||||
\(761\) | 17.1963 | + | 19.8456i | 0.623367 | + | 0.719403i | 0.976343 | − | 0.216229i | \(-0.0693757\pi\) |
−0.352976 | + | 0.935632i | \(0.614830\pi\) | |||||||
\(762\) | −7.03236 | − | 11.4554i | −0.254755 | − | 0.414984i | ||||
\(763\) | −14.5861 | − | 2.09717i | −0.528053 | − | 0.0759226i | ||||
\(764\) | −23.3973 | + | 5.83358i | −0.846486 | + | 0.211052i | ||||
\(765\) | 1.62454 | − | 0.233574i | 0.0587354 | − | 0.00844487i | ||||
\(766\) | 8.29110 | − | 9.17886i | 0.299570 | − | 0.331646i | ||||
\(767\) | 45.2740 | − | 29.0958i | 1.63475 | − | 1.05059i | ||||
\(768\) | −15.9961 | − | 0.355458i | −0.577208 | − | 0.0128265i | ||||
\(769\) | 34.3365 | − | 10.0821i | 1.23820 | − | 0.363570i | 0.403864 | − | 0.914819i | \(-0.367667\pi\) |
0.834341 | + | 0.551249i | \(0.185849\pi\) | |||||||
\(770\) | −0.447995 | − | 1.03706i | −0.0161446 | − | 0.0373732i | ||||
\(771\) | 14.1629 | + | 12.2722i | 0.510063 | + | 0.441972i | ||||
\(772\) | −21.5459 | − | 15.1376i | −0.775452 | − | 0.544815i | ||||
\(773\) | 29.5560 | − | 13.4978i | 1.06305 | − | 0.485480i | 0.194412 | − | 0.980920i | \(-0.437720\pi\) |
0.868642 | + | 0.495440i | \(0.164993\pi\) | |||||||
\(774\) | 5.56700 | − | 0.683538i | 0.200102 | − | 0.0245693i | ||||
\(775\) | −16.3105 | − | 4.78918i | −0.585889 | − | 0.172032i | ||||
\(776\) | −7.82428 | − | 20.3831i | −0.280875 | − | 0.731709i | ||||
\(777\) | 2.24366 | − | 4.91293i | 0.0804909 | − | 0.176250i | ||||
\(778\) | 5.05884 | − | 7.52576i | 0.181368 | − | 0.269812i | ||||
\(779\) | 1.30268 | − | 2.02701i | 0.0466735 | − | 0.0726253i | ||||
\(780\) | 11.2309 | + | 2.09075i | 0.402129 | + | 0.0748607i | ||||
\(781\) | 3.23438i | 0.115735i | ||||||||
\(782\) | 6.30226 | + | 10.8147i | 0.225368 | + | 0.386734i | ||||
\(783\) | 0.990680 | 0.0354040 | ||||||||
\(784\) | −22.5079 | + | 11.9676i | −0.803853 | + | 0.427414i | ||||
\(785\) | 3.34162 | + | 2.14753i | 0.119268 | + | 0.0766486i | ||||
\(786\) | 6.75358 | + | 4.53978i | 0.240892 | + | 0.161928i | ||||
\(787\) | 37.3841 | + | 17.0727i | 1.33260 | + | 0.608578i | 0.949103 | − | 0.314965i | \(-0.101993\pi\) |
0.383496 | + | 0.923543i | \(0.374720\pi\) | |||||||
\(788\) | 30.2254 | + | 28.4559i | 1.07673 | + | 1.01370i | ||||
\(789\) | 2.53660 | − | 8.63886i | 0.0903053 | − | 0.307552i | ||||
\(790\) | −9.01438 | + | 1.10682i | −0.320717 | + | 0.0393790i | ||||
\(791\) | −5.26358 | − | 11.5256i | −0.187151 | − | 0.409804i | ||||
\(792\) | 1.56433 | + | 2.80113i | 0.0555859 | + | 0.0995339i | ||||
\(793\) | −33.6601 | + | 38.8459i | −1.19531 | + | 1.37946i | ||||
\(794\) | 8.78217 | − | 3.79376i | 0.311667 | − | 0.134636i | ||||
\(795\) | 2.40583 | + | 8.19349i | 0.0853259 | + | 0.290593i | ||||
\(796\) | −1.95915 | + | 3.86016i | −0.0694401 | + | 0.136820i | ||||
\(797\) | −5.70804 | − | 8.88188i | −0.202189 | − | 0.314612i | 0.725321 | − | 0.688411i | \(-0.241691\pi\) |
−0.927510 | + | 0.373799i | \(0.878055\pi\) | |||||||
\(798\) | −5.09097 | + | 5.63608i | −0.180218 | + | 0.199515i | ||||
\(799\) | 3.34854 | + | 23.2896i | 0.118463 | + | 0.823928i | ||||
\(800\) | 21.2495 | − | 10.7423i | 0.751284 | − | 0.379798i | ||||
\(801\) | 0.191299 | − | 1.33051i | 0.00675921 | − | 0.0470114i | ||||
\(802\) | −42.9008 | + | 26.3364i | −1.51488 | + | 0.929972i | ||||
\(803\) | 2.84335 | − | 2.46378i | 0.100340 | − | 0.0869449i | ||||
\(804\) | 15.2142 | + | 19.0958i | 0.536564 | + | 0.673457i | ||||
\(805\) | −2.79857 | − | 1.89059i | −0.0986365 | − | 0.0666346i | ||||
\(806\) | −33.0475 | − | 15.9241i | −1.16405 | − | 0.560902i | ||||
\(807\) | 1.18854 | + | 1.37165i | 0.0418386 | + | 0.0482843i | ||||
\(808\) | 8.25337 | − | 22.7883i | 0.290353 | − | 0.801688i | ||||
\(809\) | −3.81705 | + | 26.5482i | −0.134200 | + | 0.933384i | 0.805794 | + | 0.592195i | \(0.201739\pi\) |
−0.939995 | + | 0.341189i | \(0.889170\pi\) | |||||||
\(810\) | 0.967265 | − | 0.803816i | 0.0339862 | − | 0.0282432i | ||||
\(811\) | 20.2768 | − | 2.91536i | 0.712015 | − | 0.102372i | 0.223216 | − | 0.974769i | \(-0.428344\pi\) |
0.488799 | + | 0.872397i | \(0.337435\pi\) | |||||||
\(812\) | −1.45288 | + | 0.592368i | −0.0509860 | + | 0.0207880i | ||||
\(813\) | 10.0866 | + | 15.6951i | 0.353754 | + | 0.550452i | ||||
\(814\) | −10.9389 | − | 0.225671i | −0.383409 | − | 0.00790978i | ||||
\(815\) | −15.0207 | + | 4.41048i | −0.526153 | + | 0.154492i | ||||
\(816\) | 5.95850 | − | 4.35804i | 0.208589 | − | 0.152562i | ||||
\(817\) | 17.6139 | − | 20.3275i | 0.616233 | − | 0.711170i | ||||
\(818\) | −6.63184 | + | 40.2179i | −0.231877 | + | 1.40619i | ||||
\(819\) | 4.62653 | − | 2.11286i | 0.161664 | − | 0.0738294i | ||||
\(820\) | 0.202886 | − | 0.598459i | 0.00708507 | − | 0.0208991i | ||||
\(821\) | −0.247987 | + | 0.844565i | −0.00865480 | + | 0.0294755i | −0.963707 | − | 0.266962i | \(-0.913980\pi\) |
0.955052 | + | 0.296437i | \(0.0957985\pi\) | |||||||
\(822\) | 2.91003 | − | 9.20395i | 0.101499 | − | 0.321024i | ||||
\(823\) | −8.91991 | + | 19.5319i | −0.310928 | + | 0.680838i | −0.998996 | − | 0.0448087i | \(-0.985732\pi\) |
0.688067 | + | 0.725647i | \(0.258459\pi\) | |||||||
\(824\) | 1.87214 | + | 23.0857i | 0.0652190 | + | 0.804228i | ||||
\(825\) | −4.01657 | − | 2.58130i | −0.139839 | − | 0.0898692i | ||||
\(826\) | 2.45737 | + | 9.05602i | 0.0855030 | + | 0.315099i | ||||
\(827\) | − | 30.0786i | − | 1.04593i | −0.852353 | − | 0.522967i | \(-0.824825\pi\) | ||
0.852353 | − | 0.522967i | \(-0.175175\pi\) | |||||||
\(828\) | 8.45133 | + | 4.53597i | 0.293704 | + | 0.157636i | ||||
\(829\) | − | 18.0525i | − | 0.626989i | −0.949590 | − | 0.313494i | \(-0.898500\pi\) | ||
0.949590 | − | 0.313494i | \(-0.101500\pi\) | |||||||
\(830\) | −15.6510 | + | 4.24694i | −0.543255 | + | 0.147414i | ||||
\(831\) | 4.92279 | + | 3.16369i | 0.170770 | + | 0.109747i | ||||
\(832\) | 49.0173 | − | 15.4122i | 1.69937 | − | 0.534320i | ||||
\(833\) | 4.88590 | − | 10.6986i | 0.169286 | − | 0.370686i | ||||
\(834\) | −3.97977 | − | 1.25829i | −0.137808 | − | 0.0435711i | ||||
\(835\) | 0.386546 | − | 1.31645i | 0.0133770 | − | 0.0455578i | ||||
\(836\) | 14.5711 | + | 4.93981i | 0.503953 | + | 0.170847i | ||||
\(837\) | −3.67364 | + | 1.67770i | −0.126980 | + | 0.0579896i | ||||
\(838\) | −8.85998 | − | 1.46099i | −0.306063 | − | 0.0504690i | ||||
\(839\) | −26.8174 | + | 30.9489i | −0.925839 | + | 1.06847i | 0.0716347 | + | 0.997431i | \(0.477178\pi\) |
−0.997473 | + | 0.0710437i | \(0.977367\pi\) | |||||||
\(840\) | −0.937903 | + | 1.75720i | −0.0323607 | + | 0.0606291i | ||||
\(841\) | −26.8836 | + | 7.89374i | −0.927021 | + | 0.272198i | ||||
\(842\) | −0.603245 | + | 29.2410i | −0.0207892 | + | 1.00771i | ||||
\(843\) | −2.59001 | − | 4.03014i | −0.0892048 | − | 0.138805i | ||||
\(844\) | −20.9447 | + | 8.53960i | −0.720947 | + | 0.293945i | ||||
\(845\) | −24.8702 | + | 3.57580i | −0.855562 | + | 0.123011i | ||||
\(846\) | 11.5236 | + | 13.8668i | 0.396190 | + | 0.476752i | ||||
\(847\) | 1.09465 | − | 7.61348i | 0.0376127 | − | 0.261602i | ||||
\(848\) | 26.8562 | + | 27.4596i | 0.922244 | + | 0.942965i | ||||
\(849\) | −14.6217 | − | 16.8744i | −0.501816 | − | 0.579127i | ||||
\(850\) | −4.76881 | + | 9.89678i | −0.163569 | + | 0.339457i | ||||
\(851\) | −27.9157 | + | 17.0487i | −0.956937 | + | 0.584421i | ||||
\(852\) | 4.46021 | − | 3.55359i | 0.152804 | − | 0.121744i | ||||
\(853\) | −32.5442 | + | 28.1997i | −1.11429 | + | 0.965539i | −0.999612 | − | 0.0278636i | \(-0.991130\pi\) |
−0.114680 | + | 0.993403i | \(0.536584\pi\) | |||||||
\(854\) | −4.68874 | − | 7.63773i | −0.160445 | − | 0.261358i | ||||
\(855\) | 0.858325 | − | 5.96978i | 0.0293541 | − | 0.204162i | ||||
\(856\) | 30.4359 | + | 6.31813i | 1.04028 | + | 0.215949i | ||||
\(857\) | 0.705819 | + | 4.90908i | 0.0241103 | + | 0.167691i | 0.998319 | − | 0.0579579i | \(-0.0184589\pi\) |
−0.974209 | + | 0.225649i | \(0.927550\pi\) | |||||||
\(858\) | −7.64598 | − | 6.90648i | −0.261029 | − | 0.235783i | ||||
\(859\) | −23.7105 | − | 36.8942i | −0.808991 | − | 1.25882i | −0.962666 | − | 0.270694i | \(-0.912747\pi\) |
0.153674 | − | 0.988122i | \(-0.450889\pi\) | |||||||
\(860\) | 3.19248 | − | 6.29022i | 0.108863 | − | 0.214495i | ||||
\(861\) | −0.0792636 | − | 0.269947i | −0.00270130 | − | 0.00919977i | ||||
\(862\) | 9.88202 | + | 22.8759i | 0.336583 | + | 0.779155i | ||||
\(863\) | −21.5612 | + | 24.8830i | −0.733953 | + | 0.847027i | −0.992911 | − | 0.118861i | \(-0.962076\pi\) |
0.258957 | + | 0.965889i | \(0.416621\pi\) | |||||||
\(864\) | 2.14405 | − | 5.23479i | 0.0729421 | − | 0.178091i | ||||
\(865\) | −0.205076 | − | 0.449055i | −0.00697280 | − | 0.0152683i | ||||
\(866\) | −3.91532 | − | 31.8879i | −0.133048 | − | 1.08360i | ||||
\(867\) | 3.82987 | − | 13.0433i | 0.130069 | − | 0.442975i | ||||
\(868\) | 4.38440 | − | 4.65704i | 0.148816 | − | 0.158070i | ||||
\(869\) | 7.45112 | + | 3.40281i | 0.252762 | + | 0.115433i | ||||
\(870\) | 0.695084 | − | 1.03404i | 0.0235655 | − | 0.0350572i | ||||
\(871\) | −65.9622 | − | 42.3913i | −2.23504 | − | 1.43638i | ||||
\(872\) | 31.1401 | − | 42.4343i | 1.05454 | − | 1.43701i | ||||
\(873\) | 7.71920 | 0.261255 | ||||||||
\(874\) | 44.6564 | − | 11.0247i | 1.51052 | − | 0.372915i | ||||
\(875\) | − | 6.48526i | − | 0.219242i | ||||||
\(876\) | −6.52153 | − | 1.21405i | −0.220342 | − | 0.0410191i | ||||
\(877\) | 14.5966 | − | 22.7127i | 0.492891 | − | 0.766953i | −0.502322 | − | 0.864680i | \(-0.667521\pi\) |
0.995213 | + | 0.0977272i | \(0.0311573\pi\) | |||||||
\(878\) | 13.4313 | + | 9.02853i | 0.453283 | + | 0.304698i | ||||
\(879\) | −2.88295 | + | 6.31278i | −0.0972395 | + | 0.212925i | ||||
\(880\) | 4.02129 | + | 0.332547i | 0.135558 | + | 0.0112102i | ||||
\(881\) | −38.1914 | − | 11.2140i | −1.28670 | − | 0.377810i | −0.434334 | − | 0.900752i | \(-0.643016\pi\) |
−0.852368 | + | 0.522942i | \(0.824834\pi\) | |||||||
\(882\) | −1.09836 | − | 8.94550i | −0.0369839 | − | 0.301211i | ||||
\(883\) | 14.3948 | − | 6.57389i | 0.484424 | − | 0.221229i | −0.158205 | − | 0.987406i | \(-0.550571\pi\) |
0.642629 | + | 0.766177i | \(0.277844\pi\) | |||||||
\(884\) | −13.6288 | + | 19.3984i | −0.458387 | + | 0.652437i | ||||
\(885\) | −5.63144 | − | 4.87967i | −0.189299 | − | 0.164028i | ||||
\(886\) | −22.1324 | + | 9.56084i | −0.743551 | + | 0.321203i | ||||
\(887\) | 49.3301 | − | 14.4846i | 1.65634 | − | 0.486346i | 0.685903 | − | 0.727693i | \(-0.259408\pi\) |
0.970439 | + | 0.241348i | \(0.0775894\pi\) | |||||||
\(888\) | 11.7073 | + | 15.3327i | 0.392872 | + | 0.514533i | ||||
\(889\) | −6.33177 | + | 4.06918i | −0.212361 | + | 0.136476i | ||||
\(890\) | −1.25452 | − | 1.13319i | −0.0420517 | − | 0.0379846i | ||||
\(891\) | −1.12277 | + | 0.161431i | −0.0376144 | + | 0.00540813i | ||||
\(892\) | −34.0935 | + | 8.50043i | −1.14154 | + | 0.284616i | ||||
\(893\) | 85.5836 | + | 12.3051i | 2.86395 | + | 0.411773i | ||||
\(894\) | 20.9950 | − | 12.8887i | 0.702178 | − | 0.431061i | ||||
\(895\) | 9.08120 | + | 10.4803i | 0.303551 | + | 0.350317i | ||||
\(896\) | −0.0142516 | + | 8.95907i | −0.000476113 | + | 0.299302i | ||||
\(897\) | −30.3810 | − | 5.08177i | −1.01439 | − | 0.169675i | ||||
\(898\) | −20.4266 | + | 42.3916i | −0.681643 | + | 1.41462i | ||||
\(899\) | −3.02372 | + | 2.62007i | −0.100847 | + | 0.0873843i | ||||
\(900\) | 0.853368 | + | 8.37491i | 0.0284456 | + | 0.279164i | ||||
\(901\) | −17.5411 | − | 2.52203i | −0.584380 | − | 0.0840212i | ||||
\(902\) | −0.438338 | + | 0.364268i | −0.0145951 | + | 0.0121288i | ||||
\(903\) | −0.446955 | − | 3.10864i | −0.0148737 | − | 0.103449i | ||||
\(904\) | 45.1703 | + | 2.79879i | 1.50234 | + | 0.0930863i | ||||
\(905\) | −1.01378 | + | 0.651518i | −0.0336992 | + | 0.0216572i | ||||
\(906\) | −0.0636297 | + | 3.08431i | −0.00211395 | + | 0.102469i | ||||
\(907\) | −9.45930 | − | 32.2154i | −0.314091 | − | 1.06970i | −0.953641 | − | 0.300946i | \(-0.902698\pi\) |
0.639550 | − | 0.768749i | \(-0.279121\pi\) | |||||||
\(908\) | 0.657402 | − | 15.9263i | 0.0218167 | − | 0.528532i | ||||
\(909\) | 6.47603 | + | 5.61151i | 0.214796 | + | 0.186122i | ||||
\(910\) | 1.04074 | − | 6.31144i | 0.0345002 | − | 0.209222i | ||||
\(911\) | 16.7184 | + | 36.6083i | 0.553906 | + | 1.21289i | 0.954934 | + | 0.296819i | \(0.0959259\pi\) |
−0.401027 | + | 0.916066i | \(0.631347\pi\) | |||||||
\(912\) | −9.19719 | − | 25.5210i | −0.304549 | − | 0.845083i | ||||
\(913\) | 14.0340 | + | 4.12077i | 0.464459 | + | 0.136377i | ||||
\(914\) | 32.3199 | + | 10.2186i | 1.06905 | + | 0.338002i | ||||
\(915\) | 6.47369 | + | 2.95644i | 0.214014 | + | 0.0977367i | ||||
\(916\) | −9.62100 | − | 16.4225i | −0.317887 | − | 0.542615i | ||||
\(917\) | 2.46348 | − | 3.83324i | 0.0813511 | − | 0.126585i | ||||
\(918\) | 0.683510 | + | 2.51890i | 0.0225592 | + | 0.0831360i | ||||
\(919\) | 50.4966 | 1.66573 | 0.832865 | − | 0.553476i | \(-0.186699\pi\) | ||||
0.832865 | + | 0.553476i | \(0.186699\pi\) | |||||||
\(920\) | 10.6641 | − | 5.63867i | 0.351586 | − | 0.185902i | ||||
\(921\) | 24.4778 | 0.806572 | ||||||||
\(922\) | −0.276309 | − | 1.01827i | −0.00909977 | − | 0.0335348i | ||||
\(923\) | −9.90135 | + | 15.4068i | −0.325907 | + | 0.507121i | ||||
\(924\) | 1.55007 | − | 0.908098i | 0.0509937 | − | 0.0298742i | ||||
\(925\) | −26.1141 | − | 11.9259i | −0.858627 | − | 0.392122i | ||||
\(926\) | 29.5595 | + | 9.34588i | 0.971386 | + | 0.307125i | ||||
\(927\) | −7.85711 | − | 2.30706i | −0.258061 | − | 0.0757737i | ||||
\(928\) | 0.576964 | − | 5.57435i | 0.0189398 | − | 0.182987i | ||||
\(929\) | −10.7077 | − | 23.4465i | −0.351307 | − | 0.769255i | −0.999967 | − | 0.00817647i | \(-0.997397\pi\) |
0.648659 | − | 0.761079i | \(-0.275330\pi\) | |||||||
\(930\) | −0.826389 | + | 5.01153i | −0.0270984 | + | 0.164334i | ||||
\(931\) | −32.6639 | − | 28.3035i | −1.07052 | − | 0.927609i | ||||
\(932\) | 48.5766 | + | 2.00514i | 1.59118 | + | 0.0656804i | ||||
\(933\) | −2.16596 | − | 7.37657i | −0.0709102 | − | 0.241498i | ||||
\(934\) | 0.348994 | − | 16.9167i | 0.0114194 | − | 0.553531i | ||||
\(935\) | −1.56616 | + | 1.00651i | −0.0512189 | + | 0.0329164i | ||||
\(936\) | −1.12347 | + | 18.1319i | −0.0367216 | + | 0.592660i | ||||
\(937\) | −3.76997 | − | 26.2207i | −0.123159 | − | 0.856593i | −0.953941 | − | 0.299994i | \(-0.903015\pi\) |
0.830782 | − | 0.556599i | \(-0.187894\pi\) | |||||||
\(938\) | 10.5146 | − | 8.73782i | 0.343313 | − | 0.285300i | ||||
\(939\) | −22.9134 | − | 3.29446i | −0.747752 | − | 0.107511i | ||||
\(940\) | 22.5590 | − | 2.29866i | 0.735792 | − | 0.0749741i | ||||
\(941\) | −40.1152 | + | 34.7600i | −1.30772 | + | 1.13314i | −0.325470 | + | 0.945552i | \(0.605523\pi\) |
−0.982247 | + | 0.187591i | \(0.939932\pi\) | |||||||
\(942\) | −2.74204 | + | 5.69059i | −0.0893404 | + | 0.185410i | ||||
\(943\) | −0.517407 | + | 1.62343i | −0.0168491 | + | 0.0528663i | ||||
\(944\) | −32.6688 | − | 7.48770i | −1.06328 | − | 0.243704i | ||||
\(945\) | −0.461166 | − | 0.532214i | −0.0150017 | − | 0.0173129i | ||||
\(946\) | −5.42201 | + | 3.32853i | −0.176285 | + | 0.108220i | ||||
\(947\) | 24.6349 | + | 3.54196i | 0.800526 | + | 0.115098i | 0.530423 | − | 0.847733i | \(-0.322033\pi\) |
0.270103 | + | 0.962831i | \(0.412942\pi\) | |||||||
\(948\) | −3.49400 | − | 14.0138i | −0.113480 | − | 0.455146i | ||||
\(949\) | 21.0865 | − | 3.03178i | 0.684497 | − | 0.0984159i | ||||
\(950\) | 29.9579 | + | 27.0605i | 0.971963 | + | 0.877957i | ||||
\(951\) | 17.6362 | − | 11.3341i | 0.571893 | − | 0.367533i | ||||
\(952\) | −2.50855 | − | 3.28538i | −0.0813026 | − | 0.106480i | ||||
\(953\) | −21.9830 | + | 6.45479i | −0.712100 | + | 0.209091i | −0.617667 | − | 0.786440i | \(-0.711922\pi\) |
−0.0944328 | + | 0.995531i | \(0.530104\pi\) | |||||||
\(954\) | −12.4663 | + | 5.38526i | −0.403612 | + | 0.174354i | ||||
\(955\) | −8.10326 | − | 7.02152i | −0.262215 | − | 0.227211i | ||||
\(956\) | −50.2554 | − | 35.3083i | −1.62538 | − | 1.14195i | ||||
\(957\) | −1.02220 | + | 0.466822i | −0.0330429 | + | 0.0150902i | ||||
\(958\) | −0.660380 | − | 5.37839i | −0.0213359 | − | 0.173768i | ||||
\(959\) | −5.18620 | − | 1.52280i | −0.167471 | − | 0.0491739i | ||||
\(960\) | −3.95958 | − | 5.91074i | −0.127795 | − | 0.190768i | ||||
\(961\) | −6.10232 | + | 13.3622i | −0.196849 | + | 0.431040i | ||||
\(962\) | −51.4162 | − | 34.5621i | −1.65773 | − | 1.11433i | ||||
\(963\) | −5.94171 | + | 9.24548i | −0.191469 | + | 0.297931i | ||||
\(964\) | −6.97733 | + | 37.4801i | −0.224725 | + | 1.20715i | ||||
\(965\) | − | 11.7085i | − | 0.376911i | ||||||
\(966\) | 2.44174 | − | 4.78364i | 0.0785615 | − | 0.153911i | ||||
\(967\) | 5.29527 | 0.170284 | 0.0851422 | − | 0.996369i | \(-0.472866\pi\) | ||||
0.0851422 | + | 0.996369i | \(0.472866\pi\) | |||||||
\(968\) | 22.1493 | + | 16.2541i | 0.711906 | + | 0.522427i | ||||
\(969\) | 10.5294 | + | 6.76681i | 0.338252 | + | 0.217381i | ||||
\(970\) | 5.41597 | − | 8.05704i | 0.173896 | − | 0.258696i | ||||
\(971\) | −23.9576 | − | 10.9411i | −0.768836 | − | 0.351116i | −0.00792235 | − | 0.999969i | \(-0.502522\pi\) |
−0.760914 | + | 0.648853i | \(0.775249\pi\) | |||||||
\(972\) | 1.45620 | + | 1.37095i | 0.0467075 | + | 0.0439731i | ||||
\(973\) | −0.658458 | + | 2.24250i | −0.0211092 | + | 0.0718913i | ||||
\(974\) | 0.839869 | + | 6.84022i | 0.0269112 | + | 0.219175i | ||||
\(975\) | −11.2307 | − | 24.5918i | −0.359670 | − | 0.787567i | ||||
\(976\) | 31.9526 | − | 1.92879i | 1.02278 | − | 0.0617390i | ||||
\(977\) | −30.1546 | + | 34.8003i | −0.964731 | + | 1.11336i | 0.0287757 | + | 0.999586i | \(0.490839\pi\) |
−0.993507 | + | 0.113773i | \(0.963706\pi\) | |||||||
\(978\) | −9.87252 | − | 22.8539i | −0.315688 | − | 0.730786i | ||||
\(979\) | 0.429571 | + | 1.46298i | 0.0137291 | + | 0.0467572i | ||||
\(980\) | −10.1076 | − | 5.12993i | −0.322877 | − | 0.163870i | ||||
\(981\) | 10.0608 | + | 15.6549i | 0.321217 | + | 0.499824i | ||||
\(982\) | 0.135585 | + | 0.122472i | 0.00432670 | + | 0.00390823i | ||||
\(983\) | 7.28307 | + | 50.6548i | 0.232294 | + | 1.61564i | 0.688139 | + | 0.725579i | \(0.258428\pi\) |
−0.455845 | + | 0.890059i | \(0.650663\pi\) | |||||||
\(984\) | 0.983924 | + | 0.204251i | 0.0313664 | + | 0.00651129i | ||||
\(985\) | −2.62695 | + | 18.2708i | −0.0837016 | + | 0.582157i | ||||
\(986\) | 1.35275 | + | 2.20357i | 0.0430804 | + | 0.0701759i | ||||
\(987\) | 7.62990 | − | 6.61135i | 0.242862 | − | 0.210441i | ||||
\(988\) | 54.2868 | + | 68.1370i | 1.72709 | + | 2.16773i | ||||
\(989\) | −8.29603 | + | 17.1158i | −0.263798 | + | 0.544251i | ||||
\(990\) | −0.619268 | + | 1.28518i | −0.0196816 | + | 0.0408456i | ||||
\(991\) | 18.7210 | + | 21.6052i | 0.594693 | + | 0.686312i | 0.970697 | − | 0.240306i | \(-0.0772477\pi\) |
−0.376005 | + | 0.926618i | \(0.622702\pi\) | |||||||
\(992\) | 7.30055 | + | 21.6479i | 0.231793 | + | 0.687321i | ||||
\(993\) | −3.22062 | + | 22.3999i | −0.102203 | + | 0.710840i | ||||
\(994\) | −2.04089 | − | 2.45589i | −0.0647332 | − | 0.0778962i | ||||
\(995\) | −1.90524 | + | 0.273933i | −0.0604003 | + | 0.00868426i | ||||
\(996\) | −9.73655 | − | 23.8804i | −0.308514 | − | 0.756680i | ||||
\(997\) | −3.87302 | − | 6.02653i | −0.122660 | − | 0.190862i | 0.774493 | − | 0.632582i | \(-0.218005\pi\) |
−0.897153 | + | 0.441720i | \(0.854369\pi\) | |||||||
\(998\) | 0.311134 | − | 15.0816i | 0.00984879 | − | 0.477398i | ||||
\(999\) | −6.54422 | + | 1.92156i | −0.207050 | + | 0.0607954i |
(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 | 552.2.bb.a.13.5 | ✓ | 480 | |
8.5 | even | 2 | inner | 552.2.bb.a.13.30 | yes | 480 | |
23.16 | even | 11 | inner | 552.2.bb.a.85.30 | yes | 480 | |
184.85 | even | 22 | inner | 552.2.bb.a.85.5 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.bb.a.13.5 | ✓ | 480 | 1.1 | even | 1 | trivial | |
552.2.bb.a.13.30 | yes | 480 | 8.5 | even | 2 | inner | |
552.2.bb.a.85.5 | yes | 480 | 184.85 | even | 22 | inner | |
552.2.bb.a.85.30 | yes | 480 | 23.16 | even | 11 | inner |