Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(107,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([9, 25]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.107");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.s (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: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 145.1 | ||
Character | \(\chi\) | \(=\) | 418.145 |
Dual form | 418.2.s.a.369.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.978148 | − | 0.207912i | 0.691655 | − | 0.147016i | ||||
\(3\) | −1.24186 | + | 2.78926i | −0.716988 | + | 1.61038i | 0.0730524 | + | 0.997328i | \(0.476726\pi\) |
−0.790041 | + | 0.613054i | \(0.789941\pi\) | |||||||
\(4\) | 0.913545 | − | 0.406737i | 0.456773 | − | 0.203368i | ||||
\(5\) | −1.24858 | + | 1.38669i | −0.558383 | + | 0.620147i | −0.954557 | − | 0.298028i | \(-0.903671\pi\) |
0.396174 | + | 0.918175i | \(0.370338\pi\) | |||||||
\(6\) | −0.634802 | + | 2.98651i | −0.259157 | + | 1.21924i | ||||
\(7\) | −0.788641 | + | 1.08547i | −0.298078 | + | 0.410269i | −0.931617 | − | 0.363441i | \(-0.881602\pi\) |
0.633539 | + | 0.773711i | \(0.281602\pi\) | |||||||
\(8\) | 0.809017 | − | 0.587785i | 0.286031 | − | 0.207813i | ||||
\(9\) | −4.23038 | − | 4.69832i | −1.41013 | − | 1.56611i | ||||
\(10\) | −0.932989 | + | 1.61598i | −0.295037 | + | 0.511019i | ||||
\(11\) | −0.332731 | + | 3.29989i | −0.100322 | + | 0.994955i | ||||
\(12\) | 3.05323i | 0.881391i | ||||||||
\(13\) | −3.50668 | − | 3.89456i | −0.972577 | − | 1.08016i | −0.996759 | − | 0.0804484i | \(-0.974365\pi\) |
0.0241819 | − | 0.999708i | \(-0.492302\pi\) | |||||||
\(14\) | −0.545725 | + | 1.22572i | −0.145851 | + | 0.327587i | ||||
\(15\) | −2.31728 | − | 5.20470i | −0.598320 | − | 1.34385i | ||||
\(16\) | 0.669131 | − | 0.743145i | 0.167283 | − | 0.185786i | ||||
\(17\) | 2.52278 | + | 2.27152i | 0.611864 | + | 0.550924i | 0.915732 | − | 0.401790i | \(-0.131612\pi\) |
−0.303868 | + | 0.952714i | \(0.598278\pi\) | |||||||
\(18\) | −5.11478 | − | 3.71610i | −1.20556 | − | 0.875894i | ||||
\(19\) | 2.04689 | − | 3.84841i | 0.469588 | − | 0.882886i | ||||
\(20\) | −0.576619 | + | 1.77465i | −0.128936 | + | 0.396824i | ||||
\(21\) | −2.04828 | − | 3.54773i | −0.446972 | − | 0.774178i | ||||
\(22\) | 0.360626 | + | 3.29696i | 0.0768858 | + | 0.702914i | ||||
\(23\) | −1.20784 | + | 2.09204i | −0.251852 | + | 0.436220i | −0.964036 | − | 0.265773i | \(-0.914373\pi\) |
0.712184 | + | 0.701993i | \(0.247706\pi\) | |||||||
\(24\) | 0.634802 | + | 2.98651i | 0.129578 | + | 0.609619i | ||||
\(25\) | 0.158688 | + | 1.50981i | 0.0317375 | + | 0.301963i | ||||
\(26\) | −4.23977 | − | 3.08037i | −0.831487 | − | 0.604111i | ||||
\(27\) | 9.64702 | − | 3.13451i | 1.85657 | − | 0.603236i | ||||
\(28\) | −0.278958 | + | 1.31240i | −0.0527182 | + | 0.248020i | ||||
\(29\) | −9.55123 | + | 4.25248i | −1.77362 | + | 0.789666i | −0.789129 | + | 0.614227i | \(0.789468\pi\) |
−0.984490 | + | 0.175439i | \(0.943865\pi\) | |||||||
\(30\) | −3.34876 | − | 4.60918i | −0.611398 | − | 0.841517i | ||||
\(31\) | 7.97796 | + | 2.59220i | 1.43288 | + | 0.465572i | 0.919671 | − | 0.392690i | \(-0.128455\pi\) |
0.513212 | + | 0.858262i | \(0.328455\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −8.79107 | − | 5.02608i | −1.53033 | − | 0.874928i | ||||
\(34\) | 2.93993 | + | 1.69737i | 0.504193 | + | 0.291096i | ||||
\(35\) | −0.520530 | − | 2.44890i | −0.0879856 | − | 0.413940i | ||||
\(36\) | −5.77563 | − | 2.57147i | −0.962605 | − | 0.428579i | ||||
\(37\) | −2.96650 | + | 4.08304i | −0.487690 | + | 0.671247i | −0.979960 | − | 0.199195i | \(-0.936167\pi\) |
0.492270 | + | 0.870442i | \(0.336167\pi\) | |||||||
\(38\) | 1.20203 | − | 4.18988i | 0.194994 | − | 0.679689i | ||||
\(39\) | 15.2178 | − | 4.94455i | 2.43679 | − | 0.791761i | ||||
\(40\) | −0.195048 | + | 1.85576i | −0.0308398 | + | 0.293421i | ||||
\(41\) | 2.96055 | + | 1.31812i | 0.462361 | + | 0.205856i | 0.624678 | − | 0.780882i | \(-0.285230\pi\) |
−0.162317 | + | 0.986739i | \(0.551897\pi\) | |||||||
\(42\) | −2.74114 | − | 3.04434i | −0.422967 | − | 0.469752i | ||||
\(43\) | −9.04129 | + | 5.21999i | −1.37878 | + | 0.796041i | −0.992013 | − | 0.126135i | \(-0.959743\pi\) |
−0.386770 | + | 0.922176i | \(0.626409\pi\) | |||||||
\(44\) | 1.03822 | + | 3.14994i | 0.156518 | + | 0.474871i | ||||
\(45\) | 11.7971 | 1.75861 | ||||||||
\(46\) | −0.746485 | + | 2.29745i | −0.110063 | + | 0.338740i | ||||
\(47\) | 0.530503 | + | 5.04740i | 0.0773818 | + | 0.736239i | 0.962575 | + | 0.271015i | \(0.0873594\pi\) |
−0.885193 | + | 0.465224i | \(0.845974\pi\) | |||||||
\(48\) | 1.24186 | + | 2.78926i | 0.179247 | + | 0.402596i | ||||
\(49\) | 1.60683 | + | 4.94530i | 0.229547 | + | 0.706472i | ||||
\(50\) | 0.469128 | + | 1.44383i | 0.0663447 | + | 0.204188i | ||||
\(51\) | −9.46881 | + | 4.21578i | −1.32590 | + | 0.590328i | ||||
\(52\) | −4.78757 | − | 2.13156i | −0.663916 | − | 0.295594i | ||||
\(53\) | 6.54934 | − | 5.89705i | 0.899621 | − | 0.810022i | −0.0828263 | − | 0.996564i | \(-0.526395\pi\) |
0.982447 | + | 0.186542i | \(0.0597280\pi\) | |||||||
\(54\) | 8.78450 | − | 5.07174i | 1.19542 | − | 0.690176i | ||||
\(55\) | −4.16049 | − | 4.58158i | −0.561000 | − | 0.617781i | ||||
\(56\) | 1.34172i | 0.179294i | ||||||||
\(57\) | 8.19229 | + | 10.4885i | 1.08509 | + | 1.38923i | ||||
\(58\) | −8.45838 | + | 6.14537i | −1.11064 | + | 0.806927i | ||||
\(59\) | 11.8289 | + | 1.24327i | 1.53999 | + | 0.161859i | 0.836151 | − | 0.548500i | \(-0.184801\pi\) |
0.703839 | + | 0.710359i | \(0.251468\pi\) | |||||||
\(60\) | −4.23389 | − | 3.81221i | −0.546592 | − | 0.492154i | ||||
\(61\) | 1.53279 | − | 7.21121i | 0.196254 | − | 0.923300i | −0.764226 | − | 0.644949i | \(-0.776879\pi\) |
0.960479 | − | 0.278351i | \(-0.0897880\pi\) | |||||||
\(62\) | 8.34257 | + | 0.876839i | 1.05951 | + | 0.111359i | ||||
\(63\) | 8.43614 | − | 0.886674i | 1.06285 | − | 0.111710i | ||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 9.77892 | 1.21293 | ||||||||
\(66\) | −9.64394 | − | 3.08848i | −1.18709 | − | 0.380166i | ||||
\(67\) | −1.40939 | − | 0.813713i | −0.172185 | − | 0.0994109i | 0.411431 | − | 0.911441i | \(-0.365029\pi\) |
−0.583616 | + | 0.812030i | \(0.698362\pi\) | |||||||
\(68\) | 3.22858 | + | 1.04903i | 0.391523 | + | 0.127214i | ||||
\(69\) | −4.33528 | − | 5.96700i | −0.521906 | − | 0.718342i | ||||
\(70\) | −1.01831 | − | 2.28716i | −0.121711 | − | 0.273368i | ||||
\(71\) | 2.54873 | + | 2.29489i | 0.302478 | + | 0.272353i | 0.806366 | − | 0.591416i | \(-0.201431\pi\) |
−0.503888 | + | 0.863769i | \(0.668098\pi\) | |||||||
\(72\) | −6.18406 | − | 1.31446i | −0.728798 | − | 0.154911i | ||||
\(73\) | −2.53235 | − | 0.266160i | −0.296389 | − | 0.0311517i | −0.0448330 | − | 0.998994i | \(-0.514276\pi\) |
−0.251556 | + | 0.967843i | \(0.580942\pi\) | |||||||
\(74\) | −2.05276 | + | 4.61058i | −0.238629 | + | 0.535969i | ||||
\(75\) | −4.40833 | − | 1.43235i | −0.509031 | − | 0.165394i | ||||
\(76\) | 0.304633 | − | 4.34824i | 0.0349438 | − | 0.498777i | ||||
\(77\) | −3.31953 | − | 2.96360i | −0.378296 | − | 0.337734i | ||||
\(78\) | 13.8572 | − | 8.00045i | 1.56902 | − | 0.905872i | ||||
\(79\) | 7.83102 | − | 1.66453i | 0.881059 | − | 0.187275i | 0.254897 | − | 0.966968i | \(-0.417958\pi\) |
0.626162 | + | 0.779693i | \(0.284625\pi\) | |||||||
\(80\) | 0.195048 | + | 1.85576i | 0.0218070 | + | 0.207480i | ||||
\(81\) | −1.25473 | + | 11.9380i | −0.139414 | + | 1.32644i | ||||
\(82\) | 3.16991 | + | 0.673786i | 0.350058 | + | 0.0744072i | ||||
\(83\) | 4.54914 | − | 1.47811i | 0.499333 | − | 0.162243i | −0.0485126 | − | 0.998823i | \(-0.515448\pi\) |
0.547846 | + | 0.836579i | \(0.315448\pi\) | |||||||
\(84\) | −3.31419 | − | 2.40790i | −0.361608 | − | 0.262724i | ||||
\(85\) | −6.29979 | + | 0.662135i | −0.683309 | + | 0.0718186i | ||||
\(86\) | −7.75842 | + | 6.98571i | −0.836612 | + | 0.753289i | ||||
\(87\) | − | 31.9219i | − | 3.42239i | ||||||
\(88\) | 1.67044 | + | 2.86524i | 0.178070 | + | 0.305436i | ||||
\(89\) | 10.2064 | + | 5.89266i | 1.08187 | + | 0.624621i | 0.931402 | − | 0.363993i | \(-0.118587\pi\) |
0.150473 | + | 0.988614i | \(0.451920\pi\) | |||||||
\(90\) | 11.5393 | − | 2.45276i | 1.21635 | − | 0.258543i | ||||
\(91\) | 6.99294 | − | 0.734987i | 0.733059 | − | 0.0770476i | ||||
\(92\) | −0.252507 | + | 2.40244i | −0.0263257 | + | 0.250472i | ||||
\(93\) | −17.1378 | + | 19.0335i | −1.77711 | + | 1.97368i | ||||
\(94\) | 1.56832 | + | 4.82680i | 0.161760 | + | 0.497847i | ||||
\(95\) | 2.78085 | + | 7.64346i | 0.285309 | + | 0.784202i | ||||
\(96\) | 1.79464 | + | 2.47011i | 0.183165 | + | 0.252105i | ||||
\(97\) | 2.33981 | + | 11.0079i | 0.237571 | + | 1.11769i | 0.921573 | + | 0.388205i | \(0.126905\pi\) |
−0.684001 | + | 0.729481i | \(0.739762\pi\) | |||||||
\(98\) | 2.59990 | + | 4.50316i | 0.262629 | + | 0.454888i | ||||
\(99\) | 16.9115 | − | 12.3965i | 1.69967 | − | 1.24590i | ||||
\(100\) | 0.759065 | + | 1.31474i | 0.0759065 | + | 0.131474i | ||||
\(101\) | −4.31928 | + | 3.88910i | −0.429784 | + | 0.386979i | −0.855437 | − | 0.517907i | \(-0.826711\pi\) |
0.425653 | + | 0.904887i | \(0.360045\pi\) | |||||||
\(102\) | −8.38538 | + | 6.09233i | −0.830276 | + | 0.603231i | ||||
\(103\) | −3.12880 | + | 4.30643i | −0.308290 | + | 0.424325i | −0.934847 | − | 0.355051i | \(-0.884464\pi\) |
0.626557 | + | 0.779376i | \(0.284464\pi\) | |||||||
\(104\) | −5.12612 | − | 1.08959i | −0.502658 | − | 0.106843i | ||||
\(105\) | 7.47706 | + | 1.58930i | 0.729686 | + | 0.155100i | ||||
\(106\) | 5.18015 | − | 7.12987i | 0.503141 | − | 0.692514i | ||||
\(107\) | −0.432441 | + | 0.314187i | −0.0418056 | + | 0.0303736i | −0.608492 | − | 0.793560i | \(-0.708225\pi\) |
0.566686 | + | 0.823934i | \(0.308225\pi\) | |||||||
\(108\) | 7.53807 | − | 6.78731i | 0.725351 | − | 0.653109i | ||||
\(109\) | −1.58176 | − | 2.73969i | −0.151505 | − | 0.262415i | 0.780276 | − | 0.625436i | \(-0.215079\pi\) |
−0.931781 | + | 0.363021i | \(0.881745\pi\) | |||||||
\(110\) | −5.02214 | − | 3.61645i | −0.478842 | − | 0.344815i | ||||
\(111\) | −7.70469 | − | 13.3449i | −0.731297 | − | 1.26664i | ||||
\(112\) | 0.278958 | + | 1.31240i | 0.0263591 | + | 0.124010i | ||||
\(113\) | −3.82959 | − | 5.27098i | −0.360258 | − | 0.495852i | 0.589963 | − | 0.807430i | \(-0.299142\pi\) |
−0.950220 | + | 0.311578i | \(0.899142\pi\) | |||||||
\(114\) | 10.1939 | + | 8.55602i | 0.954750 | + | 0.801345i | ||||
\(115\) | −1.39292 | − | 4.28698i | −0.129891 | − | 0.399763i | ||||
\(116\) | −6.99585 | + | 7.76967i | −0.649548 | + | 0.721396i | ||||
\(117\) | −3.46329 | + | 32.9510i | −0.320181 | + | 3.04632i | ||||
\(118\) | 11.8289 | − | 1.24327i | 1.08894 | − | 0.114452i | ||||
\(119\) | −4.45523 | + | 0.946989i | −0.408411 | + | 0.0868104i | ||||
\(120\) | −4.93397 | − | 2.84863i | −0.450408 | − | 0.260043i | ||||
\(121\) | −10.7786 | − | 2.19595i | −0.979871 | − | 0.199632i | ||||
\(122\) | − | 7.37231i | − | 0.667457i | ||||||
\(123\) | −7.35319 | + | 6.62084i | −0.663015 | + | 0.596981i | ||||
\(124\) | 8.34257 | − | 0.876839i | 0.749185 | − | 0.0787425i | ||||
\(125\) | −9.83982 | − | 7.14904i | −0.880100 | − | 0.639430i | ||||
\(126\) | 8.06744 | − | 2.62127i | 0.718705 | − | 0.233521i | ||||
\(127\) | 0.531145 | + | 0.112898i | 0.0471315 | + | 0.0100181i | 0.231417 | − | 0.972855i | \(-0.425664\pi\) |
−0.184286 | + | 0.982873i | \(0.558997\pi\) | |||||||
\(128\) | 0.104528 | − | 0.994522i | 0.00923910 | − | 0.0879041i | ||||
\(129\) | −3.33191 | − | 31.7010i | −0.293359 | − | 2.79112i | ||||
\(130\) | 9.56523 | − | 2.03315i | 0.838926 | − | 0.178319i | ||||
\(131\) | 10.4082 | − | 6.00915i | 0.909364 | − | 0.525022i | 0.0291377 | − | 0.999575i | \(-0.490724\pi\) |
0.880227 | + | 0.474554i | \(0.157391\pi\) | |||||||
\(132\) | −10.0753 | − | 1.01590i | −0.876945 | − | 0.0884231i | ||||
\(133\) | 2.56308 | + | 5.25685i | 0.222247 | + | 0.455826i | ||||
\(134\) | −1.54777 | − | 0.502902i | −0.133707 | − | 0.0434441i | ||||
\(135\) | −7.69850 | + | 17.2911i | −0.662582 | + | 1.48818i | ||||
\(136\) | 3.37614 | + | 0.354846i | 0.289501 | + | 0.0304278i | ||||
\(137\) | 10.7098 | + | 2.27643i | 0.914997 | + | 0.194489i | 0.641267 | − | 0.767318i | \(-0.278409\pi\) |
0.273730 | + | 0.961806i | \(0.411742\pi\) | |||||||
\(138\) | −5.48115 | − | 4.93525i | −0.466587 | − | 0.420116i | ||||
\(139\) | −8.74046 | − | 19.6314i | −0.741356 | − | 1.66511i | −0.746730 | − | 0.665127i | \(-0.768377\pi\) |
0.00537403 | − | 0.999986i | \(-0.498289\pi\) | |||||||
\(140\) | −1.47159 | − | 2.02546i | −0.124372 | − | 0.171183i | ||||
\(141\) | −14.7373 | − | 4.78845i | −1.24111 | − | 0.403260i | ||||
\(142\) | 2.97017 | + | 1.71483i | 0.249251 | + | 0.143905i | ||||
\(143\) | 14.0184 | − | 10.2758i | 1.17228 | − | 0.859307i | ||||
\(144\) | −6.32221 | −0.526851 | ||||||||
\(145\) | 6.02862 | − | 18.5542i | 0.500650 | − | 1.54084i | ||||
\(146\) | −2.53235 | + | 0.266160i | −0.209579 | + | 0.0220276i | ||||
\(147\) | −15.7892 | − | 1.65951i | −1.30227 | − | 0.136874i | ||||
\(148\) | −1.04931 | + | 4.93663i | −0.0862529 | + | 0.405788i | ||||
\(149\) | −5.75837 | − | 5.18486i | −0.471744 | − | 0.424760i | 0.398660 | − | 0.917099i | \(-0.369475\pi\) |
−0.870404 | + | 0.492339i | \(0.836142\pi\) | |||||||
\(150\) | −4.60980 | − | 0.484510i | −0.376389 | − | 0.0395601i | ||||
\(151\) | −1.08329 | + | 0.787053i | −0.0881566 | + | 0.0640495i | −0.630990 | − | 0.775791i | \(-0.717351\pi\) |
0.542834 | + | 0.839840i | \(0.317351\pi\) | |||||||
\(152\) | −0.606074 | − | 4.31656i | −0.0491591 | − | 0.350119i | ||||
\(153\) | − | 21.4622i | − | 1.73512i | ||||||
\(154\) | −3.86316 | − | 2.20867i | −0.311302 | − | 0.177980i | ||||
\(155\) | −13.5557 | + | 7.82639i | −1.08882 | + | 0.628631i | ||||
\(156\) | 11.8910 | − | 10.7067i | 0.952040 | − | 0.857221i | ||||
\(157\) | −17.9121 | − | 7.97498i | −1.42954 | − | 0.636473i | −0.461472 | − | 0.887155i | \(-0.652679\pi\) |
−0.968070 | + | 0.250682i | \(0.919345\pi\) | |||||||
\(158\) | 7.31382 | − | 3.25632i | 0.581856 | − | 0.259059i | ||||
\(159\) | 8.31507 | + | 25.5911i | 0.659428 | + | 2.02951i | ||||
\(160\) | 0.576619 | + | 1.77465i | 0.0455857 | + | 0.140298i | ||||
\(161\) | −1.31830 | − | 2.96094i | −0.103896 | − | 0.233355i | ||||
\(162\) | 1.25473 | + | 11.9380i | 0.0985809 | + | 0.937935i | ||||
\(163\) | 0.250859 | − | 0.772066i | 0.0196488 | − | 0.0604729i | −0.940751 | − | 0.339097i | \(-0.889878\pi\) |
0.960400 | + | 0.278624i | \(0.0898784\pi\) | |||||||
\(164\) | 3.24073 | 0.253059 | ||||||||
\(165\) | 17.9460 | − | 5.91502i | 1.39709 | − | 0.460484i | ||||
\(166\) | 4.14242 | − | 2.39162i | 0.321514 | − | 0.185626i | ||||
\(167\) | 0.148123 | + | 0.164507i | 0.0114621 | + | 0.0127300i | 0.748849 | − | 0.662741i | \(-0.230607\pi\) |
−0.737387 | + | 0.675471i | \(0.763940\pi\) | |||||||
\(168\) | −3.74240 | − | 1.66622i | −0.288732 | − | 0.128552i | ||||
\(169\) | −1.51194 | + | 14.3851i | −0.116303 | + | 1.10655i | ||||
\(170\) | −6.02446 | + | 1.95747i | −0.462055 | + | 0.150131i | ||||
\(171\) | −26.7402 | + | 6.66334i | −2.04487 | + | 0.509558i | ||||
\(172\) | −6.13647 | + | 8.44612i | −0.467901 | + | 0.644011i | ||||
\(173\) | 1.94010 | + | 0.863787i | 0.147503 | + | 0.0656725i | 0.479160 | − | 0.877727i | \(-0.340941\pi\) |
−0.331658 | + | 0.943400i | \(0.607608\pi\) | |||||||
\(174\) | −6.63694 | − | 31.2243i | −0.503145 | − | 2.36711i | ||||
\(175\) | −1.76401 | − | 1.01845i | −0.133346 | − | 0.0769875i | ||||
\(176\) | 2.22966 | + | 2.45533i | 0.168067 | + | 0.185077i | ||||
\(177\) | −18.1576 | + | 31.4499i | −1.36481 | + | 2.36392i | ||||
\(178\) | 11.2085 | + | 3.64186i | 0.840113 | + | 0.272969i | ||||
\(179\) | 3.74395 | + | 5.15311i | 0.279836 | + | 0.385162i | 0.925680 | − | 0.378308i | \(-0.123494\pi\) |
−0.645843 | + | 0.763470i | \(0.723494\pi\) | |||||||
\(180\) | 10.7772 | − | 4.79831i | 0.803284 | − | 0.357645i | ||||
\(181\) | −0.780268 | + | 3.67087i | −0.0579969 | + | 0.272854i | −0.997585 | − | 0.0694526i | \(-0.977875\pi\) |
0.939588 | + | 0.342306i | \(0.111208\pi\) | |||||||
\(182\) | 6.68731 | − | 2.17284i | 0.495697 | − | 0.161062i | ||||
\(183\) | 18.2104 | + | 13.2307i | 1.34615 | + | 0.978039i | ||||
\(184\) | 0.252507 | + | 2.40244i | 0.0186151 | + | 0.177111i | ||||
\(185\) | −1.95799 | − | 9.21163i | −0.143954 | − | 0.677253i | ||||
\(186\) | −12.8060 | + | 22.1807i | −0.938984 | + | 1.62637i | ||||
\(187\) | −8.33518 | + | 7.56909i | −0.609529 | + | 0.553507i | ||||
\(188\) | 2.53760 | + | 4.39525i | 0.185074 | + | 0.320557i | ||||
\(189\) | −4.20562 | + | 12.9436i | −0.305914 | + | 0.941505i | ||||
\(190\) | 4.30925 | + | 6.89826i | 0.312626 | + | 0.500452i | ||||
\(191\) | 1.41710 | + | 1.02958i | 0.102538 | + | 0.0744981i | 0.637873 | − | 0.770142i | \(-0.279815\pi\) |
−0.535335 | + | 0.844640i | \(0.679815\pi\) | |||||||
\(192\) | 2.26899 | + | 2.04301i | 0.163750 | + | 0.147442i | ||||
\(193\) | 9.87594 | − | 10.9683i | 0.710886 | − | 0.789518i | −0.274184 | − | 0.961677i | \(-0.588408\pi\) |
0.985069 | + | 0.172159i | \(0.0550743\pi\) | |||||||
\(194\) | 4.57735 | + | 10.2809i | 0.328635 | + | 0.738126i | ||||
\(195\) | −12.1441 | + | 27.2760i | −0.869654 | + | 1.95327i | ||||
\(196\) | 3.47934 | + | 3.86420i | 0.248525 | + | 0.276015i | ||||
\(197\) | 25.6624i | 1.82837i | 0.405299 | + | 0.914184i | \(0.367167\pi\) | ||||
−0.405299 | + | 0.914184i | \(0.632833\pi\) | |||||||
\(198\) | 13.9646 | − | 15.6417i | 0.992420 | − | 1.11161i | ||||
\(199\) | −2.68425 | + | 4.64926i | −0.190281 | + | 0.329577i | −0.945343 | − | 0.326076i | \(-0.894273\pi\) |
0.755062 | + | 0.655653i | \(0.227607\pi\) | |||||||
\(200\) | 1.01583 | + | 1.12819i | 0.0718298 | + | 0.0797751i | ||||
\(201\) | 4.01993 | − | 2.92065i | 0.283544 | − | 0.206007i | ||||
\(202\) | −3.41630 | + | 4.70214i | −0.240370 | + | 0.330841i | ||||
\(203\) | 2.91655 | − | 13.7213i | 0.204701 | − | 0.963044i | ||||
\(204\) | −6.93547 | + | 7.70262i | −0.485580 | + | 0.539291i | ||||
\(205\) | −5.52433 | + | 2.45959i | −0.385836 | + | 0.171785i | ||||
\(206\) | −2.16507 | + | 4.86284i | −0.150848 | + | 0.338810i | ||||
\(207\) | 14.9387 | − | 3.17531i | 1.03831 | − | 0.220700i | ||||
\(208\) | −5.24064 | −0.363373 | ||||||||
\(209\) | 12.0183 | + | 8.03499i | 0.831322 | + | 0.555792i | ||||
\(210\) | 7.64410 | 0.527493 | ||||||||
\(211\) | 11.2248 | − | 2.38589i | 0.772744 | − | 0.164252i | 0.195368 | − | 0.980730i | \(-0.437410\pi\) |
0.577376 | + | 0.816478i | \(0.304077\pi\) | |||||||
\(212\) | 3.58457 | − | 8.05108i | 0.246189 | − | 0.552950i | ||||
\(213\) | −9.56621 | + | 4.25915i | −0.655466 | + | 0.291832i | ||||
\(214\) | −0.357668 | + | 0.397230i | −0.0244497 | + | 0.0271541i | ||||
\(215\) | 4.05028 | − | 19.0551i | 0.276227 | − | 1.29954i | ||||
\(216\) | 5.96218 | − | 8.20624i | 0.405675 | − | 0.558364i | ||||
\(217\) | −9.10549 | + | 6.61553i | −0.618121 | + | 0.449091i | ||||
\(218\) | −2.11681 | − | 2.35096i | −0.143369 | − | 0.159227i | ||||
\(219\) | 3.88721 | − | 6.73285i | 0.262674 | − | 0.454964i | ||||
\(220\) | −5.66429 | − | 2.49326i | −0.381887 | − | 0.168096i | ||||
\(221\) | − | 17.7906i | − | 1.19672i | ||||||
\(222\) | −10.3109 | − | 11.4514i | −0.692022 | − | 0.768568i | ||||
\(223\) | 6.95548 | − | 15.6223i | 0.465773 | − | 1.04614i | −0.516086 | − | 0.856537i | \(-0.672612\pi\) |
0.981860 | − | 0.189608i | \(-0.0607217\pi\) | |||||||
\(224\) | 0.545725 | + | 1.22572i | 0.0364628 | + | 0.0818968i | ||||
\(225\) | 6.42227 | − | 7.13265i | 0.428151 | − | 0.475510i | ||||
\(226\) | −4.84180 | − | 4.35958i | −0.322072 | − | 0.289995i | ||||
\(227\) | 17.1177 | + | 12.4367i | 1.13614 | + | 0.825455i | 0.986577 | − | 0.163297i | \(-0.0522129\pi\) |
0.149564 | + | 0.988752i | \(0.452213\pi\) | |||||||
\(228\) | 11.7501 | + | 6.24961i | 0.778168 | + | 0.413891i | ||||
\(229\) | 1.68343 | − | 5.18108i | 0.111244 | − | 0.342375i | −0.879901 | − | 0.475157i | \(-0.842391\pi\) |
0.991145 | + | 0.132782i | \(0.0423911\pi\) | |||||||
\(230\) | −2.25380 | − | 3.90369i | −0.148611 | − | 0.257402i | ||||
\(231\) | 12.3887 | − | 5.57867i | 0.815114 | − | 0.367050i | ||||
\(232\) | −5.22756 | + | 9.05441i | −0.343206 | + | 0.594451i | ||||
\(233\) | −0.991994 | − | 4.66696i | −0.0649877 | − | 0.305743i | 0.933634 | − | 0.358228i | \(-0.116619\pi\) |
−0.998622 | + | 0.0524853i | \(0.983286\pi\) | |||||||
\(234\) | 3.46329 | + | 32.9510i | 0.226402 | + | 2.15407i | ||||
\(235\) | −7.66156 | − | 5.56645i | −0.499785 | − | 0.363115i | ||||
\(236\) | 11.3119 | − | 3.67546i | 0.736342 | − | 0.239252i | ||||
\(237\) | −5.08221 | + | 23.9099i | −0.330125 | + | 1.55312i | ||||
\(238\) | −4.16099 | + | 1.85259i | −0.269717 | + | 0.120086i | ||||
\(239\) | −6.02618 | − | 8.29432i | −0.389801 | − | 0.536515i | 0.568347 | − | 0.822789i | \(-0.307583\pi\) |
−0.958148 | + | 0.286274i | \(0.907583\pi\) | |||||||
\(240\) | −5.41841 | − | 1.76055i | −0.349757 | − | 0.113643i | ||||
\(241\) | 2.79557 | − | 4.84207i | 0.180079 | − | 0.311905i | −0.761828 | − | 0.647779i | \(-0.775698\pi\) |
0.941907 | + | 0.335873i | \(0.109031\pi\) | |||||||
\(242\) | −10.9996 | + | 0.0930264i | −0.707081 | + | 0.00597996i | ||||
\(243\) | −5.38641 | − | 3.10984i | −0.345538 | − | 0.199497i | ||||
\(244\) | −1.53279 | − | 7.21121i | −0.0981268 | − | 0.461650i | ||||
\(245\) | −8.86386 | − | 3.94645i | −0.566291 | − | 0.252129i | ||||
\(246\) | −5.81596 | + | 8.00498i | −0.370812 | + | 0.510379i | ||||
\(247\) | −22.1656 | + | 5.52341i | −1.41036 | + | 0.351446i | ||||
\(248\) | 7.97796 | − | 2.59220i | 0.506601 | − | 0.164605i | ||||
\(249\) | −1.52657 | + | 14.5244i | −0.0967425 | + | 0.920444i | ||||
\(250\) | −11.1112 | − | 4.94701i | −0.702732 | − | 0.312876i | ||||
\(251\) | 15.5661 | + | 17.2880i | 0.982527 | + | 1.09121i | 0.995824 | + | 0.0912947i | \(0.0291005\pi\) |
−0.0132974 | + | 0.999912i | \(0.504233\pi\) | |||||||
\(252\) | 7.34616 | − | 4.24131i | 0.462764 | − | 0.267177i | ||||
\(253\) | −6.50161 | − | 4.68182i | −0.408753 | − | 0.294344i | ||||
\(254\) | 0.543011 | 0.0340716 | ||||||||
\(255\) | 5.97659 | − | 18.3941i | 0.374269 | − | 1.15188i | ||||
\(256\) | −0.104528 | − | 0.994522i | −0.00653303 | − | 0.0621576i | ||||
\(257\) | −9.16392 | − | 20.5825i | −0.571629 | − | 1.28390i | −0.935788 | − | 0.352564i | \(-0.885310\pi\) |
0.364159 | − | 0.931337i | \(-0.381357\pi\) | |||||||
\(258\) | −9.85012 | − | 30.3156i | −0.613242 | − | 1.88736i | ||||
\(259\) | −2.09252 | − | 6.44010i | −0.130023 | − | 0.400168i | ||||
\(260\) | 8.93349 | − | 3.97745i | 0.554032 | − | 0.246671i | ||||
\(261\) | 60.3849 | + | 26.8851i | 3.73773 | + | 1.66415i | ||||
\(262\) | 8.93133 | − | 8.04181i | 0.551780 | − | 0.496825i | ||||
\(263\) | −26.8145 | + | 15.4813i | −1.65345 | + | 0.954621i | −0.677814 | + | 0.735234i | \(0.737072\pi\) |
−0.975638 | + | 0.219387i | \(0.929594\pi\) | |||||||
\(264\) | −10.0664 | + | 1.10107i | −0.619543 | + | 0.0677664i | ||||
\(265\) | 16.4449i | 1.01020i | ||||||||
\(266\) | 3.60003 | + | 4.60908i | 0.220732 | + | 0.282601i | ||||
\(267\) | −29.1111 | + | 21.1504i | −1.78157 | + | 1.29439i | ||||
\(268\) | −1.61851 | − | 0.170112i | −0.0988663 | − | 0.0103913i | ||||
\(269\) | −0.00547206 | − | 0.00492707i | −0.000333638 | − | 0.000300409i | 0.668964 | − | 0.743295i | \(-0.266738\pi\) |
−0.669297 | + | 0.742995i | \(0.733405\pi\) | |||||||
\(270\) | −3.93525 | + | 18.5139i | −0.239491 | + | 1.12672i | ||||
\(271\) | 0.924106 | + | 0.0971275i | 0.0561355 | + | 0.00590008i | 0.132555 | − | 0.991176i | \(-0.457682\pi\) |
−0.0764191 | + | 0.997076i | \(0.524349\pi\) | |||||||
\(272\) | 3.37614 | − | 0.354846i | 0.204708 | − | 0.0215157i | ||||
\(273\) | −6.63418 | + | 20.4179i | −0.401519 | + | 1.23575i | ||||
\(274\) | 10.9490 | 0.661455 | ||||||||
\(275\) | −5.03502 | + | 0.0212908i | −0.303623 | + | 0.00128389i | ||||
\(276\) | −6.38747 | − | 3.68781i | −0.384481 | − | 0.221980i | ||||
\(277\) | 21.0687 | + | 6.84563i | 1.26589 | + | 0.411314i | 0.863591 | − | 0.504193i | \(-0.168210\pi\) |
0.402303 | + | 0.915507i | \(0.368210\pi\) | |||||||
\(278\) | −12.6311 | − | 17.3852i | −0.757560 | − | 1.04269i | ||||
\(279\) | −21.5709 | − | 48.4490i | −1.29141 | − | 2.90056i | ||||
\(280\) | −1.86055 | − | 1.67524i | −0.111189 | − | 0.100115i | ||||
\(281\) | −11.3372 | − | 2.40979i | −0.676318 | − | 0.143756i | −0.143067 | − | 0.989713i | \(-0.545697\pi\) |
−0.533251 | + | 0.845957i | \(0.679030\pi\) | |||||||
\(282\) | −15.4109 | − | 1.61975i | −0.917704 | − | 0.0964546i | ||||
\(283\) | −9.21827 | + | 20.7046i | −0.547969 | + | 1.23076i | 0.401199 | + | 0.915991i | \(0.368594\pi\) |
−0.949168 | + | 0.314769i | \(0.898073\pi\) | |||||||
\(284\) | 3.26179 | + | 1.05982i | 0.193552 | + | 0.0628888i | ||||
\(285\) | −24.7730 | − | 1.73557i | −1.46743 | − | 0.102806i | ||||
\(286\) | 11.5756 | − | 12.9659i | 0.684480 | − | 0.766687i | ||||
\(287\) | −3.76560 | + | 2.17407i | −0.222276 | + | 0.128331i | ||||
\(288\) | −6.18406 | + | 1.31446i | −0.364399 | + | 0.0774554i | ||||
\(289\) | −0.572376 | − | 5.44579i | −0.0336692 | − | 0.320341i | ||||
\(290\) | 2.03925 | − | 19.4022i | 0.119749 | − | 1.13933i | ||||
\(291\) | −33.6097 | − | 7.14397i | −1.97024 | − | 0.418787i | ||||
\(292\) | −2.42167 | + | 0.786849i | −0.141718 | + | 0.0460469i | ||||
\(293\) | 4.37278 | + | 3.17701i | 0.255461 | + | 0.185603i | 0.708144 | − | 0.706069i | \(-0.249533\pi\) |
−0.452683 | + | 0.891672i | \(0.649533\pi\) | |||||||
\(294\) | −15.7892 | + | 1.65951i | −0.920845 | + | 0.0967847i | ||||
\(295\) | −16.4934 | + | 14.8507i | −0.960281 | + | 0.864641i | ||||
\(296\) | 5.04691i | 0.293346i | ||||||||
\(297\) | 7.13367 | + | 32.8771i | 0.413937 | + | 1.90772i | ||||
\(298\) | −6.71053 | − | 3.87432i | −0.388730 | − | 0.224434i | ||||
\(299\) | 12.3831 | − | 2.63210i | 0.716131 | − | 0.152218i | ||||
\(300\) | −4.60980 | + | 0.484510i | −0.266147 | + | 0.0279732i | ||||
\(301\) | 1.46418 | − | 13.9308i | 0.0843940 | − | 0.802955i | ||||
\(302\) | −0.895976 | + | 0.995082i | −0.0515576 | + | 0.0572606i | ||||
\(303\) | −5.48377 | − | 16.8773i | −0.315035 | − | 0.969577i | ||||
\(304\) | −1.49029 | − | 4.09622i | −0.0854741 | − | 0.234934i | ||||
\(305\) | 8.08590 | + | 11.1293i | 0.462997 | + | 0.637261i | ||||
\(306\) | −4.46225 | − | 20.9932i | −0.255090 | − | 1.20010i | ||||
\(307\) | 3.06298 | + | 5.30525i | 0.174814 | + | 0.302786i | 0.940097 | − | 0.340908i | \(-0.110734\pi\) |
−0.765283 | + | 0.643694i | \(0.777401\pi\) | |||||||
\(308\) | −4.23795 | − | 1.35721i | −0.241479 | − | 0.0773341i | ||||
\(309\) | −8.12623 | − | 14.0750i | −0.462285 | − | 0.800701i | ||||
\(310\) | −11.6323 | + | 10.4738i | −0.660670 | + | 0.594870i | ||||
\(311\) | 24.9392 | − | 18.1194i | 1.41417 | − | 1.02746i | 0.421471 | − | 0.906842i | \(-0.361514\pi\) |
0.992700 | − | 0.120613i | \(-0.0384861\pi\) | |||||||
\(312\) | 9.40509 | − | 12.9450i | 0.532458 | − | 0.732866i | ||||
\(313\) | 30.3954 | + | 6.46074i | 1.71805 | + | 0.365182i | 0.958461 | − | 0.285223i | \(-0.0920678\pi\) |
0.759587 | + | 0.650406i | \(0.225401\pi\) | |||||||
\(314\) | −19.1788 | − | 4.07657i | −1.08232 | − | 0.230054i | ||||
\(315\) | −9.30367 | + | 12.8054i | −0.524203 | + | 0.721503i | ||||
\(316\) | 6.47697 | − | 4.70579i | 0.364358 | − | 0.264721i | ||||
\(317\) | 7.36481 | − | 6.63131i | 0.413649 | − | 0.372451i | −0.435870 | − | 0.900010i | \(-0.643559\pi\) |
0.849519 | + | 0.527559i | \(0.176892\pi\) | |||||||
\(318\) | 13.4541 | + | 23.3031i | 0.754466 | + | 1.30677i | ||||
\(319\) | −10.8547 | − | 32.9330i | −0.607749 | − | 1.84389i | ||||
\(320\) | 0.932989 | + | 1.61598i | 0.0521556 | + | 0.0903362i | ||||
\(321\) | −0.339318 | − | 1.59637i | −0.0189389 | − | 0.0891006i | ||||
\(322\) | −1.90510 | − | 2.62215i | −0.106167 | − | 0.146127i | ||||
\(323\) | 13.9056 | − | 5.05915i | 0.773727 | − | 0.281498i | ||||
\(324\) | 3.70935 | + | 11.4162i | 0.206075 | + | 0.634234i | ||||
\(325\) | 5.32359 | − | 5.91244i | 0.295299 | − | 0.327963i | ||||
\(326\) | 0.0848560 | − | 0.807351i | 0.00469974 | − | 0.0447150i | ||||
\(327\) | 9.60605 | − | 1.00964i | 0.531216 | − | 0.0558330i | ||||
\(328\) | 3.16991 | − | 0.673786i | 0.175029 | − | 0.0372036i | ||||
\(329\) | −5.89718 | − | 3.40474i | −0.325122 | − | 0.187709i | ||||
\(330\) | 16.3240 | − | 9.51694i | 0.898608 | − | 0.523890i | ||||
\(331\) | − | 2.86923i | − | 0.157707i | −0.996886 | − | 0.0788535i | \(-0.974874\pi\) | ||
0.996886 | − | 0.0788535i | \(-0.0251259\pi\) | |||||||
\(332\) | 3.55465 | − | 3.20062i | 0.195087 | − | 0.175657i | ||||
\(333\) | 31.7329 | − | 3.33526i | 1.73895 | − | 0.182771i | ||||
\(334\) | 0.179089 | + | 0.130116i | 0.00979933 | + | 0.00711963i | ||||
\(335\) | 2.88811 | − | 0.938404i | 0.157794 | − | 0.0512705i | ||||
\(336\) | −4.00705 | − | 0.851724i | −0.218602 | − | 0.0464654i | ||||
\(337\) | 0.384125 | − | 3.65470i | 0.0209246 | − | 0.199084i | −0.979065 | − | 0.203546i | \(-0.934753\pi\) |
0.999990 | + | 0.00446137i | \(0.00142010\pi\) | |||||||
\(338\) | 1.51194 | + | 14.3851i | 0.0822385 | + | 0.782447i | ||||
\(339\) | 19.4580 | − | 4.13592i | 1.05681 | − | 0.224632i | ||||
\(340\) | −5.48583 | + | 3.16725i | −0.297511 | + | 0.171768i | ||||
\(341\) | −11.2085 | + | 25.4639i | −0.606973 | + | 1.37895i | ||||
\(342\) | −24.7704 | + | 12.0773i | −1.33943 | + | 0.653067i | ||||
\(343\) | −15.5675 | − | 5.05819i | −0.840567 | − | 0.273117i | ||||
\(344\) | −4.24632 | + | 9.53740i | −0.228946 | + | 0.514222i | ||||
\(345\) | 13.6873 | + | 1.43860i | 0.736902 | + | 0.0774515i | ||||
\(346\) | 2.07729 | + | 0.441542i | 0.111676 | + | 0.0237375i | ||||
\(347\) | 11.9855 | + | 10.7918i | 0.643413 | + | 0.579332i | 0.924889 | − | 0.380236i | \(-0.124157\pi\) |
−0.281476 | + | 0.959568i | \(0.590824\pi\) | |||||||
\(348\) | −12.9838 | − | 29.1621i | −0.696005 | − | 1.56325i | ||||
\(349\) | −19.4617 | − | 26.7867i | −1.04176 | − | 1.43386i | −0.895741 | − | 0.444577i | \(-0.853354\pi\) |
−0.146019 | − | 0.989282i | \(-0.546646\pi\) | |||||||
\(350\) | −1.93720 | − | 0.629436i | −0.103548 | − | 0.0336448i | ||||
\(351\) | −46.0365 | − | 26.5792i | −2.45724 | − | 1.41869i | ||||
\(352\) | 2.69143 | + | 1.93810i | 0.143453 | + | 0.103301i | ||||
\(353\) | −23.6994 | −1.26139 | −0.630696 | − | 0.776030i | \(-0.717230\pi\) | ||||
−0.630696 | + | 0.776030i | \(0.717230\pi\) | |||||||
\(354\) | −11.2220 | + | 34.5378i | −0.596444 | + | 1.83567i | ||||
\(355\) | −6.36459 | + | 0.668946i | −0.337798 | + | 0.0355040i | ||||
\(356\) | 11.7208 | + | 1.23190i | 0.621199 | + | 0.0652906i | ||||
\(357\) | 2.89138 | − | 13.6029i | 0.153028 | − | 0.719939i | ||||
\(358\) | 4.73353 | + | 4.26209i | 0.250175 | + | 0.225259i | ||||
\(359\) | 9.67471 | + | 1.01685i | 0.510612 | + | 0.0536674i | 0.356331 | − | 0.934360i | \(-0.384027\pi\) |
0.154280 | + | 0.988027i | \(0.450694\pi\) | |||||||
\(360\) | 9.54406 | − | 6.93416i | 0.503016 | − | 0.365462i | ||||
\(361\) | −10.6205 | − | 15.7545i | −0.558975 | − | 0.829185i | ||||
\(362\) | 3.75288i | 0.197247i | ||||||||
\(363\) | 19.5106 | − | 27.3372i | 1.02404 | − | 1.43483i | ||||
\(364\) | 6.08942 | − | 3.51573i | 0.319172 | − | 0.184274i | ||||
\(365\) | 3.53093 | − | 3.17926i | 0.184817 | − | 0.166410i | ||||
\(366\) | 20.5633 | + | 9.15538i | 1.07486 | + | 0.478559i | ||||
\(367\) | −22.3380 | + | 9.94553i | −1.16604 | + | 0.519153i | −0.896155 | − | 0.443741i | \(-0.853651\pi\) |
−0.269881 | + | 0.962894i | \(0.586984\pi\) | |||||||
\(368\) | 0.746485 | + | 2.29745i | 0.0389132 | + | 0.119763i | ||||
\(369\) | −6.33132 | − | 19.4858i | −0.329595 | − | 1.01439i | ||||
\(370\) | −3.83041 | − | 8.60324i | −0.199134 | − | 0.447261i | ||||
\(371\) | 1.23600 | + | 11.7598i | 0.0641700 | + | 0.610537i | ||||
\(372\) | −7.91457 | + | 24.3585i | −0.410351 | + | 1.26293i | ||||
\(373\) | 17.2528 | 0.893316 | 0.446658 | − | 0.894705i | \(-0.352614\pi\) | ||||
0.446658 | + | 0.894705i | \(0.352614\pi\) | |||||||
\(374\) | −6.57933 | + | 9.13667i | −0.340209 | + | 0.472446i | ||||
\(375\) | 32.1602 | − | 18.5677i | 1.66075 | − | 0.958833i | ||||
\(376\) | 3.39597 | + | 3.77161i | 0.175134 | + | 0.194506i | ||||
\(377\) | 50.0546 | + | 22.2858i | 2.57794 | + | 1.14777i | ||||
\(378\) | −1.42260 | + | 13.5351i | −0.0731705 | + | 0.696171i | ||||
\(379\) | 18.3900 | − | 5.97527i | 0.944630 | − | 0.306929i | 0.204099 | − | 0.978950i | \(-0.434574\pi\) |
0.740532 | + | 0.672021i | \(0.234574\pi\) | |||||||
\(380\) | 5.64931 | + | 5.85157i | 0.289803 | + | 0.300179i | ||||
\(381\) | −0.974512 | + | 1.34130i | −0.0499258 | + | 0.0687169i | ||||
\(382\) | 1.60020 | + | 0.712454i | 0.0818732 | + | 0.0364523i | ||||
\(383\) | 4.82063 | + | 22.6793i | 0.246323 | + | 1.15886i | 0.911219 | + | 0.411922i | \(0.135142\pi\) |
−0.664896 | + | 0.746936i | \(0.731524\pi\) | |||||||
\(384\) | 2.64417 | + | 1.52661i | 0.134935 | + | 0.0779047i | ||||
\(385\) | 8.25431 | − | 0.902868i | 0.420678 | − | 0.0460144i | ||||
\(386\) | 7.37968 | − | 12.7820i | 0.375616 | − | 0.650586i | ||||
\(387\) | 62.7733 | + | 20.3963i | 3.19095 | + | 1.03680i | ||||
\(388\) | 6.61485 | + | 9.10456i | 0.335818 | + | 0.462214i | ||||
\(389\) | 24.5157 | − | 10.9151i | 1.24299 | − | 0.553417i | 0.323391 | − | 0.946265i | \(-0.395177\pi\) |
0.919603 | + | 0.392848i | \(0.128510\pi\) | |||||||
\(390\) | −6.20768 | + | 29.2048i | −0.314338 | + | 1.47884i | ||||
\(391\) | −7.79921 | + | 2.53412i | −0.394423 | + | 0.128156i | ||||
\(392\) | 4.20673 | + | 3.05637i | 0.212472 | + | 0.154370i | ||||
\(393\) | 3.83563 | + | 36.4936i | 0.193482 | + | 1.84086i | ||||
\(394\) | 5.33551 | + | 25.1016i | 0.268799 | + | 1.26460i | ||||
\(395\) | −7.46948 | + | 12.9375i | −0.375830 | + | 0.650957i | ||||
\(396\) | 10.4073 | − | 18.2033i | 0.522988 | − | 0.914752i | ||||
\(397\) | −17.0263 | − | 29.4905i | −0.854528 | − | 1.48009i | −0.877083 | − | 0.480340i | \(-0.840513\pi\) |
0.0225551 | − | 0.999746i | \(-0.492820\pi\) | |||||||
\(398\) | −1.65896 | + | 5.10575i | −0.0831560 | + | 0.255928i | ||||
\(399\) | −17.8457 | + | 0.620837i | −0.893404 | + | 0.0310807i | ||||
\(400\) | 1.22819 | + | 0.892334i | 0.0614096 | + | 0.0446167i | ||||
\(401\) | −21.8553 | − | 19.6786i | −1.09140 | − | 0.982704i | −0.0914890 | − | 0.995806i | \(-0.529163\pi\) |
−0.999914 | + | 0.0131022i | \(0.995829\pi\) | |||||||
\(402\) | 3.32485 | − | 3.69262i | 0.165828 | − | 0.184171i | ||||
\(403\) | −17.8807 | − | 40.1606i | −0.890699 | − | 2.00054i | ||||
\(404\) | −2.36402 | + | 5.30967i | −0.117614 | + | 0.264166i | ||||
\(405\) | −14.9876 | − | 16.6455i | −0.744741 | − | 0.827119i | ||||
\(406\) | − | 14.0278i | − | 0.696188i | ||||||
\(407\) | −12.4865 | − | 11.1477i | −0.618935 | − | 0.552570i | ||||
\(408\) | −5.18245 | + | 8.97627i | −0.256569 | + | 0.444391i | ||||
\(409\) | 19.7027 | + | 21.8821i | 0.974237 | + | 1.08200i | 0.996612 | + | 0.0822506i | \(0.0262108\pi\) |
−0.0223743 | + | 0.999750i | \(0.507123\pi\) | |||||||
\(410\) | −4.89223 | + | 3.55441i | −0.241610 | + | 0.175540i | ||||
\(411\) | −19.6496 | + | 27.0454i | −0.969244 | + | 1.33405i | ||||
\(412\) | −1.10672 | + | 5.20672i | −0.0545243 | + | 0.256516i | ||||
\(413\) | −10.6783 | + | 11.8594i | −0.525443 | + | 0.583564i | ||||
\(414\) | 13.9521 | − | 6.21185i | 0.685706 | − | 0.305296i | ||||
\(415\) | −3.63030 | + | 8.15379i | −0.178204 | + | 0.400254i | ||||
\(416\) | −5.12612 | + | 1.08959i | −0.251329 | + | 0.0534216i | ||||
\(417\) | 65.6116 | 3.21301 | ||||||||
\(418\) | 13.4262 | + | 5.36066i | 0.656698 | + | 0.262199i | ||||
\(419\) | 10.7814 | 0.526705 | 0.263353 | − | 0.964700i | \(-0.415172\pi\) | ||||
0.263353 | + | 0.964700i | \(0.415172\pi\) | |||||||
\(420\) | 7.47706 | − | 1.58930i | 0.364843 | − | 0.0775498i | ||||
\(421\) | 0.839584 | − | 1.88574i | 0.0409188 | − | 0.0919051i | −0.891930 | − | 0.452174i | \(-0.850648\pi\) |
0.932848 | + | 0.360269i | \(0.117315\pi\) | |||||||
\(422\) | 10.4834 | − | 4.66751i | 0.510324 | − | 0.227211i | ||||
\(423\) | 21.4701 | − | 23.8449i | 1.04391 | − | 1.15938i | ||||
\(424\) | 1.83233 | − | 8.62042i | 0.0889856 | − | 0.418644i | ||||
\(425\) | −3.02924 | + | 4.16938i | −0.146940 | + | 0.202245i | ||||
\(426\) | −8.47163 | + | 6.15500i | −0.410452 | + | 0.298211i | ||||
\(427\) | 6.61873 | + | 7.35085i | 0.320303 | + | 0.355732i | ||||
\(428\) | −0.267263 | + | 0.462913i | −0.0129187 | + | 0.0223758i | ||||
\(429\) | 11.2531 | + | 51.8621i | 0.543303 | + | 2.50393i | ||||
\(430\) | − | 19.4808i | − | 0.939446i | ||||||
\(431\) | 4.81526 | + | 5.34789i | 0.231943 | + | 0.257599i | 0.847870 | − | 0.530205i | \(-0.177885\pi\) |
−0.615927 | + | 0.787803i | \(0.711218\pi\) | |||||||
\(432\) | 4.12572 | − | 9.26652i | 0.198499 | − | 0.445836i | ||||
\(433\) | 1.13732 | + | 2.55446i | 0.0546560 | + | 0.122759i | 0.938809 | − | 0.344438i | \(-0.111930\pi\) |
−0.884153 | + | 0.467197i | \(0.845264\pi\) | |||||||
\(434\) | −7.53107 | + | 8.36410i | −0.361503 | + | 0.401490i | ||||
\(435\) | 44.2658 | + | 39.8571i | 2.12238 | + | 1.91100i | ||||
\(436\) | −2.55934 | − | 1.85947i | −0.122570 | − | 0.0890526i | ||||
\(437\) | 5.57871 | + | 8.93042i | 0.266866 | + | 0.427200i | ||||
\(438\) | 2.40243 | − | 7.39392i | 0.114793 | − | 0.353295i | ||||
\(439\) | 1.01003 | + | 1.74942i | 0.0482059 | + | 0.0834951i | 0.889122 | − | 0.457671i | \(-0.151316\pi\) |
−0.840916 | + | 0.541166i | \(0.817983\pi\) | |||||||
\(440\) | −6.05889 | − | 1.26110i | −0.288846 | − | 0.0601208i | ||||
\(441\) | 16.4371 | − | 28.4699i | 0.782720 | − | 1.35571i | ||||
\(442\) | −3.69887 | − | 17.4018i | −0.175937 | − | 0.827720i | ||||
\(443\) | 2.42518 | + | 23.0740i | 0.115224 | + | 1.09628i | 0.887441 | + | 0.460922i | \(0.152481\pi\) |
−0.772217 | + | 0.635359i | \(0.780852\pi\) | |||||||
\(444\) | −12.4665 | − | 9.05741i | −0.591632 | − | 0.429846i | ||||
\(445\) | −20.9148 | + | 6.79564i | −0.991457 | + | 0.322144i | ||||
\(446\) | 3.55544 | − | 16.7270i | 0.168355 | − | 0.792047i | ||||
\(447\) | 21.6130 | − | 9.62274i | 1.02226 | − | 0.455140i | ||||
\(448\) | 0.788641 | + | 1.08547i | 0.0372598 | + | 0.0512837i | ||||
\(449\) | −39.9912 | − | 12.9939i | −1.88730 | − | 0.613221i | −0.982139 | − | 0.188155i | \(-0.939749\pi\) |
−0.905162 | − | 0.425067i | \(-0.860251\pi\) | |||||||
\(450\) | 4.79897 | − | 8.31205i | 0.226225 | − | 0.391834i | ||||
\(451\) | −5.33474 | + | 9.33093i | −0.251203 | + | 0.439376i | ||||
\(452\) | −5.64241 | − | 3.25764i | −0.265396 | − | 0.153227i | ||||
\(453\) | −0.850010 | − | 3.99898i | −0.0399369 | − | 0.187889i | ||||
\(454\) | 19.3294 | + | 8.60599i | 0.907173 | + | 0.403899i | ||||
\(455\) | −7.71206 | + | 10.6147i | −0.361547 | + | 0.497626i | ||||
\(456\) | 12.7927 | + | 3.67006i | 0.599072 | + | 0.171866i | ||||
\(457\) | 15.8721 | − | 5.15717i | 0.742467 | − | 0.241242i | 0.0867304 | − | 0.996232i | \(-0.472358\pi\) |
0.655737 | + | 0.754990i | \(0.272358\pi\) | |||||||
\(458\) | 0.569440 | − | 5.41786i | 0.0266082 | − | 0.253160i | ||||
\(459\) | 31.4574 | + | 14.0057i | 1.46830 | + | 0.653731i | ||||
\(460\) | −3.01617 | − | 3.34980i | −0.140630 | − | 0.156185i | ||||
\(461\) | 24.9658 | − | 14.4140i | 1.16277 | − | 0.671326i | 0.210805 | − | 0.977528i | \(-0.432392\pi\) |
0.951967 | + | 0.306202i | \(0.0990582\pi\) | |||||||
\(462\) | 10.9581 | − | 8.03251i | 0.509815 | − | 0.373706i | ||||
\(463\) | −28.0670 | −1.30438 | −0.652192 | − | 0.758054i | \(-0.726151\pi\) | ||||
−0.652192 | + | 0.758054i | \(0.726151\pi\) | |||||||
\(464\) | −3.23081 | + | 9.94342i | −0.149987 | + | 0.461612i | ||||
\(465\) | −4.99558 | − | 47.5297i | −0.231664 | − | 2.20414i | ||||
\(466\) | −1.94063 | − | 4.35873i | −0.0898981 | − | 0.201914i | ||||
\(467\) | 6.65538 | + | 20.4831i | 0.307974 | + | 0.947847i | 0.978551 | + | 0.206006i | \(0.0660468\pi\) |
−0.670577 | + | 0.741840i | \(0.733953\pi\) | |||||||
\(468\) | 10.2385 | + | 31.5108i | 0.473275 | + | 1.45659i | ||||
\(469\) | 1.99477 | − | 0.888127i | 0.0921098 | − | 0.0410099i | ||||
\(470\) | −8.65147 | − | 3.85188i | −0.399063 | − | 0.177674i | ||||
\(471\) | 44.4887 | − | 40.0578i | 2.04993 | − | 1.84576i | ||||
\(472\) | 10.3005 | − | 5.94702i | 0.474121 | − | 0.273734i | ||||
\(473\) | −14.2171 | − | 31.5721i | −0.653702 | − | 1.45169i | ||||
\(474\) | 24.4441i | 1.12275i | ||||||||
\(475\) | 6.13519 | + | 2.47972i | 0.281502 | + | 0.113777i | ||||
\(476\) | −3.68488 | + | 2.67722i | −0.168896 | + | 0.122710i | ||||
\(477\) | −55.4124 | − | 5.82408i | −2.53716 | − | 0.266666i | ||||
\(478\) | −7.61897 | − | 6.86016i | −0.348484 | − | 0.313776i | ||||
\(479\) | 2.64090 | − | 12.4245i | 0.120666 | − | 0.567688i | −0.875725 | − | 0.482809i | \(-0.839616\pi\) |
0.996391 | − | 0.0848787i | \(-0.0270503\pi\) | |||||||
\(480\) | −5.66605 | − | 0.595525i | −0.258618 | − | 0.0271819i | ||||
\(481\) | 26.3042 | − | 2.76468i | 1.19937 | − | 0.126059i | ||||
\(482\) | 1.72776 | − | 5.31750i | 0.0786973 | − | 0.242205i | ||||
\(483\) | 9.89598 | 0.450283 | ||||||||
\(484\) | −10.7399 | + | 2.37794i | −0.488177 | + | 0.108088i | ||||
\(485\) | −18.1860 | − | 10.4997i | −0.825786 | − | 0.476768i | ||||
\(486\) | −5.91528 | − | 1.92199i | −0.268322 | − | 0.0871832i | ||||
\(487\) | 8.90971 | + | 12.2632i | 0.403738 | + | 0.555697i | 0.961677 | − | 0.274184i | \(-0.0884079\pi\) |
−0.557940 | + | 0.829882i | \(0.688408\pi\) | |||||||
\(488\) | −2.99859 | − | 6.73494i | −0.135740 | − | 0.304876i | ||||
\(489\) | 1.84196 | + | 1.65851i | 0.0832965 | + | 0.0750005i | ||||
\(490\) | −9.49068 | − | 2.01731i | −0.428745 | − | 0.0911326i | ||||
\(491\) | 5.22755 | + | 0.549437i | 0.235916 | + | 0.0247958i | 0.221749 | − | 0.975104i | \(-0.428824\pi\) |
0.0141674 | + | 0.999900i | \(0.495490\pi\) | |||||||
\(492\) | −4.02453 | + | 9.03925i | −0.181440 | + | 0.407521i | ||||
\(493\) | −33.7552 | − | 10.9677i | −1.52026 | − | 0.493962i | ||||
\(494\) | −20.5329 | + | 10.0112i | −0.923817 | + | 0.450425i | ||||
\(495\) | −3.92526 | + | 38.9292i | −0.176427 | + | 1.74974i | ||||
\(496\) | 7.26467 | − | 4.19426i | 0.326193 | − | 0.188328i | ||||
\(497\) | −4.50106 | + | 0.956730i | −0.201900 | + | 0.0429152i | ||||
\(498\) | 1.52657 | + | 14.5244i | 0.0684073 | + | 0.650852i | ||||
\(499\) | −2.52981 | + | 24.0695i | −0.113250 | + | 1.07750i | 0.779331 | + | 0.626612i | \(0.215559\pi\) |
−0.892581 | + | 0.450887i | \(0.851108\pi\) | |||||||
\(500\) | −11.8969 | − | 2.52876i | −0.532045 | − | 0.113090i | ||||
\(501\) | −0.642802 | + | 0.208859i | −0.0287183 | + | 0.00933114i | ||||
\(502\) | 18.8204 | + | 13.6738i | 0.839994 | + | 0.610291i | ||||
\(503\) | 3.80193 | − | 0.399599i | 0.169520 | − | 0.0178173i | −0.0193882 | − | 0.999812i | \(-0.506172\pi\) |
0.188908 | + | 0.981995i | \(0.439505\pi\) | |||||||
\(504\) | 6.30381 | − | 5.67597i | 0.280794 | − | 0.252828i | ||||
\(505\) | − | 10.8454i | − | 0.482612i | ||||||
\(506\) | −7.33294 | − | 3.22775i | −0.325989 | − | 0.143491i | ||||
\(507\) | −38.2463 | − | 22.0815i | −1.69858 | − | 0.980674i | ||||
\(508\) | 0.531145 | − | 0.112898i | 0.0235658 | − | 0.00500906i | ||||
\(509\) | 9.65149 | − | 1.01441i | 0.427795 | − | 0.0449630i | 0.111815 | − | 0.993729i | \(-0.464334\pi\) |
0.315980 | + | 0.948766i | \(0.397667\pi\) | |||||||
\(510\) | 2.02165 | − | 19.2347i | 0.0895202 | − | 0.851728i | ||||
\(511\) | 2.28602 | − | 2.53888i | 0.101128 | − | 0.112314i | ||||
\(512\) | −0.309017 | − | 0.951057i | −0.0136568 | − | 0.0420312i | ||||
\(513\) | 7.68347 | − | 43.5416i | 0.339233 | − | 1.92241i | ||||
\(514\) | −13.2430 | − | 18.2274i | −0.584124 | − | 0.803977i | ||||
\(515\) | −2.06512 | − | 9.71561i | −0.0909999 | − | 0.428121i | ||||
\(516\) | −15.9378 | − | 27.6051i | −0.701624 | − | 1.21525i | ||||
\(517\) | −16.8324 | + | 0.0711766i | −0.740288 | + | 0.00313034i | ||||
\(518\) | −3.38576 | − | 5.86431i | −0.148762 | − | 0.257663i | ||||
\(519\) | −4.81866 | + | 4.33874i | −0.211516 | + | 0.190450i | ||||
\(520\) | 7.91131 | − | 5.74791i | 0.346934 | − | 0.252062i | ||||
\(521\) | −11.9346 | + | 16.4266i | −0.522866 | + | 0.719663i | −0.986022 | − | 0.166614i | \(-0.946717\pi\) |
0.463157 | + | 0.886276i | \(0.346717\pi\) | |||||||
\(522\) | 64.6551 | + | 13.7429i | 2.82988 | + | 0.601509i | ||||
\(523\) | −27.5470 | − | 5.85530i | −1.20455 | − | 0.256034i | −0.438448 | − | 0.898757i | \(-0.644472\pi\) |
−0.766099 | + | 0.642722i | \(0.777805\pi\) | |||||||
\(524\) | 7.06418 | − | 9.72301i | 0.308600 | − | 0.424751i | ||||
\(525\) | 5.03137 | − | 3.65551i | 0.219587 | − | 0.159539i | ||||
\(526\) | −23.0098 | + | 20.7181i | −1.00327 | + | 0.903351i | ||||
\(527\) | 14.2384 | + | 24.6616i | 0.620234 | + | 1.07428i | ||||
\(528\) | −9.61748 | + | 3.16993i | −0.418547 | + | 0.137954i | ||||
\(529\) | 8.58225 | + | 14.8649i | 0.373141 | + | 0.646300i | ||||
\(530\) | 3.41908 | + | 16.0855i | 0.148515 | + | 0.698710i | ||||
\(531\) | −44.1995 | − | 60.8354i | −1.91809 | − | 2.64003i | ||||
\(532\) | 4.47964 | + | 3.75987i | 0.194217 | + | 0.163011i | ||||
\(533\) | −5.24820 | − | 16.1523i | −0.227325 | − | 0.699633i | ||||
\(534\) | −24.0775 | + | 26.7408i | −1.04194 | + | 1.15719i | ||||
\(535\) | 0.104258 | − | 0.991950i | 0.00450747 | − | 0.0428857i | ||||
\(536\) | −1.61851 | + | 0.170112i | −0.0699090 | + | 0.00734774i | ||||
\(537\) | −19.0229 | + | 4.04343i | −0.820897 | + | 0.174487i | ||||
\(538\) | −0.00637688 | − | 0.00368169i | −0.000274927 | − | 0.000158729i | ||||
\(539\) | −16.8536 | + | 3.65690i | −0.725936 | + | 0.157514i | ||||
\(540\) | 18.9275i | 0.814509i | ||||||||
\(541\) | −17.8074 | + | 16.0339i | −0.765601 | + | 0.689351i | −0.956329 | − | 0.292292i | \(-0.905582\pi\) |
0.190728 | + | 0.981643i | \(0.438915\pi\) | |||||||
\(542\) | 0.924106 | − | 0.0971275i | 0.0396938 | − | 0.00417198i | ||||
\(543\) | −9.27005 | − | 6.73508i | −0.397816 | − | 0.289030i | ||||
\(544\) | 3.22858 | − | 1.04903i | 0.138424 | − | 0.0449768i | ||||
\(545\) | 5.77407 | + | 1.22732i | 0.247334 | + | 0.0525724i | ||||
\(546\) | −2.24408 | + | 21.3510i | −0.0960380 | + | 0.913740i | ||||
\(547\) | −2.41429 | − | 22.9705i | −0.103228 | − | 0.982146i | −0.916438 | − | 0.400176i | \(-0.868949\pi\) |
0.813211 | − | 0.581970i | \(-0.197718\pi\) | |||||||
\(548\) | 10.7098 | − | 2.27643i | 0.457499 | − | 0.0972444i | ||||
\(549\) | −40.3648 | + | 23.3046i | −1.72273 | + | 0.994618i | ||||
\(550\) | −4.92057 | + | 1.06767i | −0.209814 | + | 0.0455254i | ||||
\(551\) | −3.18498 | + | 45.4614i | −0.135685 | + | 1.93672i | ||||
\(552\) | −7.01463 | − | 2.27919i | −0.298562 | − | 0.0970088i | ||||
\(553\) | −4.36906 | + | 9.81306i | −0.185791 | + | 0.417294i | ||||
\(554\) | 22.0316 | + | 2.31561i | 0.936031 | + | 0.0983809i | ||||
\(555\) | 28.1252 | + | 5.97820i | 1.19385 | + | 0.253760i | ||||
\(556\) | −15.9696 | − | 14.3791i | −0.677262 | − | 0.609810i | ||||
\(557\) | 3.90865 | + | 8.77896i | 0.165615 | + | 0.371977i | 0.977220 | − | 0.212230i | \(-0.0680725\pi\) |
−0.811605 | + | 0.584206i | \(0.801406\pi\) | |||||||
\(558\) | −31.1726 | − | 42.9054i | −1.31964 | − | 1.81633i | ||||
\(559\) | 52.0344 | + | 16.9070i | 2.20082 | + | 0.715090i | ||||
\(560\) | −2.16819 | − | 1.25181i | −0.0916228 | − | 0.0528984i | ||||
\(561\) | −10.7611 | − | 32.6488i | −0.454333 | − | 1.37843i | ||||
\(562\) | −11.5904 | −0.488913 | ||||||||
\(563\) | 5.10240 | − | 15.7036i | 0.215041 | − | 0.661827i | −0.784110 | − | 0.620622i | \(-0.786880\pi\) |
0.999151 | − | 0.0412052i | \(-0.0131197\pi\) | |||||||
\(564\) | −15.4109 | + | 1.61975i | −0.648915 | + | 0.0682037i | ||||
\(565\) | 12.0908 | + | 1.27079i | 0.508663 | + | 0.0534626i | ||||
\(566\) | −4.71211 | + | 22.1687i | −0.198065 | + | 0.931821i | ||||
\(567\) | −11.9688 | − | 10.7767i | −0.502641 | − | 0.452580i | ||||
\(568\) | 3.41086 | + | 0.358496i | 0.143117 | + | 0.0150422i | ||||
\(569\) | 1.90715 | − | 1.38562i | 0.0799517 | − | 0.0580883i | −0.547091 | − | 0.837073i | \(-0.684265\pi\) |
0.627043 | + | 0.778985i | \(0.284265\pi\) | |||||||
\(570\) | −24.5925 | + | 3.45296i | −1.03007 | + | 0.144629i | ||||
\(571\) | 40.1729i | 1.68118i | 0.541668 | + | 0.840592i | \(0.317793\pi\) | ||||
−0.541668 | + | 0.840592i | \(0.682207\pi\) | |||||||
\(572\) | 8.62690 | − | 15.0892i | 0.360709 | − | 0.630912i | ||||
\(573\) | −4.63163 | + | 2.67407i | −0.193489 | + | 0.111711i | ||||
\(574\) | −3.23130 | + | 2.90947i | −0.134872 | + | 0.121439i | ||||
\(575\) | −3.35025 | − | 1.49163i | −0.139715 | − | 0.0622052i | ||||
\(576\) | −5.77563 | + | 2.57147i | −0.240651 | + | 0.107145i | ||||
\(577\) | −2.99779 | − | 9.22626i | −0.124800 | − | 0.384094i | 0.869065 | − | 0.494698i | \(-0.164721\pi\) |
−0.993865 | + | 0.110604i | \(0.964721\pi\) | |||||||
\(578\) | −1.69211 | − | 5.20778i | −0.0703826 | − | 0.216615i | ||||
\(579\) | 18.3291 | + | 41.1677i | 0.761730 | + | 1.71087i | ||||
\(580\) | −2.03925 | − | 19.4022i | −0.0846752 | − | 0.805631i | ||||
\(581\) | −1.98320 | + | 6.10365i | −0.0822769 | + | 0.253222i | ||||
\(582\) | −34.3606 | −1.42429 | ||||||||
\(583\) | 17.2805 | + | 23.5742i | 0.715684 | + | 0.976345i | ||||
\(584\) | −2.20516 | + | 1.27315i | −0.0912501 | + | 0.0526833i | ||||
\(585\) | −41.3686 | − | 45.9445i | −1.71038 | − | 1.89957i | ||||
\(586\) | 4.93777 | + | 2.19844i | 0.203977 | + | 0.0908165i | ||||
\(587\) | −1.49167 | + | 14.1923i | −0.0615679 | + | 0.585779i | 0.919631 | + | 0.392782i | \(0.128487\pi\) |
−0.981199 | + | 0.192997i | \(0.938179\pi\) | |||||||
\(588\) | −15.0991 | + | 4.90601i | −0.622678 | + | 0.202320i | ||||
\(589\) | 26.3058 | − | 25.3965i | 1.08391 | − | 1.04645i | ||||
\(590\) | −13.0453 | + | 17.9553i | −0.537067 | + | 0.739209i | ||||
\(591\) | −71.5791 | − | 31.8691i | −2.94437 | − | 1.31092i | ||||
\(592\) | 1.04931 | + | 4.93663i | 0.0431265 | + | 0.202894i | ||||
\(593\) | 16.3657 | + | 9.44872i | 0.672057 | + | 0.388012i | 0.796856 | − | 0.604170i | \(-0.206495\pi\) |
−0.124798 | + | 0.992182i | \(0.539828\pi\) | |||||||
\(594\) | 13.8133 | + | 30.6754i | 0.566767 | + | 1.25863i | ||||
\(595\) | 4.24955 | − | 7.36043i | 0.174214 | − | 0.301748i | ||||
\(596\) | −7.36940 | − | 2.39446i | −0.301862 | − | 0.0980811i | ||||
\(597\) | −9.63454 | − | 13.2608i | −0.394315 | − | 0.542729i | ||||
\(598\) | 11.5652 | − | 5.14917i | 0.472937 | − | 0.210565i | ||||
\(599\) | 3.68304 | − | 17.3273i | 0.150485 | − | 0.707976i | −0.836605 | − | 0.547807i | \(-0.815463\pi\) |
0.987090 | − | 0.160169i | \(-0.0512039\pi\) | |||||||
\(600\) | −4.40833 | + | 1.43235i | −0.179969 | + | 0.0584756i | ||||
\(601\) | −13.2356 | − | 9.61624i | −0.539892 | − | 0.392255i | 0.284153 | − | 0.958779i | \(-0.408288\pi\) |
−0.824045 | + | 0.566524i | \(0.808288\pi\) | |||||||
\(602\) | −1.46418 | − | 13.9308i | −0.0596756 | − | 0.567775i | ||||
\(603\) | 2.13919 | + | 10.0641i | 0.0871145 | + | 0.409842i | ||||
\(604\) | −0.669508 | + | 1.15962i | −0.0272419 | + | 0.0471843i | ||||
\(605\) | 16.5031 | − | 12.2047i | 0.670945 | − | 0.496193i | ||||
\(606\) | −8.87293 | − | 15.3684i | −0.360438 | − | 0.624297i | ||||
\(607\) | −1.32568 | + | 4.08003i | −0.0538078 | + | 0.165603i | −0.974349 | − | 0.225042i | \(-0.927748\pi\) |
0.920541 | + | 0.390645i | \(0.127748\pi\) | |||||||
\(608\) | −2.30938 | − | 3.69686i | −0.0936577 | − | 0.149927i | ||||
\(609\) | 34.6503 | + | 25.1749i | 1.40410 | + | 1.02014i | ||||
\(610\) | 10.2231 | + | 9.20493i | 0.413922 | + | 0.372697i | ||||
\(611\) | 17.7971 | − | 19.7657i | 0.719993 | − | 0.799633i | ||||
\(612\) | −8.72947 | − | 19.6067i | −0.352868 | − | 0.792554i | ||||
\(613\) | 6.30312 | − | 14.1571i | 0.254581 | − | 0.571798i | −0.740366 | − | 0.672204i | \(-0.765348\pi\) |
0.994947 | + | 0.100406i | \(0.0320143\pi\) | |||||||
\(614\) | 4.09907 | + | 4.55248i | 0.165425 | + | 0.183723i | ||||
\(615\) | − | 18.4633i | − | 0.744511i | ||||||
\(616\) | −4.42752 | − | 0.446430i | −0.178390 | − | 0.0179872i | ||||
\(617\) | 0.0159189 | − | 0.0275724i | 0.000640872 | − | 0.00111002i | −0.865705 | − | 0.500555i | \(-0.833129\pi\) |
0.866346 | + | 0.499445i | \(0.166463\pi\) | |||||||
\(618\) | −10.8750 | − | 12.0779i | −0.437457 | − | 0.485845i | ||||
\(619\) | −30.3825 | + | 22.0742i | −1.22118 | + | 0.887237i | −0.996197 | − | 0.0871262i | \(-0.972232\pi\) |
−0.224980 | + | 0.974363i | \(0.572232\pi\) | |||||||
\(620\) | −9.20048 | + | 12.6634i | −0.369500 | + | 0.508573i | ||||
\(621\) | −5.09453 | + | 23.9679i | −0.204437 | + | 0.961799i | ||||
\(622\) | 20.6270 | − | 22.9086i | 0.827066 | − | 0.918550i | ||||
\(623\) | −14.4455 | + | 6.43154i | −0.578746 | + | 0.257674i | ||||
\(624\) | 6.50815 | − | 14.6175i | 0.260534 | − | 0.585170i | ||||
\(625\) | 14.7746 | − | 3.14043i | 0.590983 | − | 0.125617i | ||||
\(626\) | 31.0744 | 1.24198 | ||||||||
\(627\) | −37.3367 | + | 23.5438i | −1.49108 | + | 0.940250i | ||||
\(628\) | −19.6072 | −0.782414 | ||||||||
\(629\) | −16.7585 | + | 3.56213i | −0.668206 | + | 0.142032i | ||||
\(630\) | −6.43797 | + | 14.4599i | −0.256495 | + | 0.576097i | ||||
\(631\) | −5.68916 | + | 2.53298i | −0.226482 | + | 0.100836i | −0.516841 | − | 0.856082i | \(-0.672892\pi\) |
0.290359 | + | 0.956918i | \(0.406225\pi\) | |||||||
\(632\) | 5.35704 | − | 5.94960i | 0.213092 | − | 0.236662i | ||||
\(633\) | −7.28469 | + | 34.2717i | −0.289540 | + | 1.36218i | ||||
\(634\) | 5.82515 | − | 8.01763i | 0.231346 | − | 0.318421i | ||||
\(635\) | −0.819734 | + | 0.595572i | −0.0325302 | + | 0.0236345i | ||||
\(636\) | 18.0050 | + | 19.9966i | 0.713947 | + | 0.792918i | ||||
\(637\) | 13.6251 | − | 23.5994i | 0.539848 | − | 0.935044i | ||||
\(638\) | −17.4647 | − | 29.9565i | −0.691434 | − | 1.18599i | ||||
\(639\) | − | 21.6830i | − | 0.857766i | ||||||
\(640\) | 1.24858 | + | 1.38669i | 0.0493546 | + | 0.0548138i | ||||
\(641\) | −6.07515 | + | 13.6450i | −0.239954 | + | 0.538946i | −0.992874 | − | 0.119166i | \(-0.961978\pi\) |
0.752920 | + | 0.658112i | \(0.228645\pi\) | |||||||
\(642\) | −0.663807 | − | 1.49093i | −0.0261984 | − | 0.0588425i | ||||
\(643\) | 12.0777 | − | 13.4137i | 0.476300 | − | 0.528985i | −0.456334 | − | 0.889809i | \(-0.650838\pi\) |
0.932634 | + | 0.360824i | \(0.117504\pi\) | |||||||
\(644\) | −2.40865 | − | 2.16875i | −0.0949139 | − | 0.0854609i | ||||
\(645\) | 48.1197 | + | 34.9610i | 1.89471 | + | 1.37659i | ||||
\(646\) | 12.5499 | − | 7.83972i | 0.493767 | − | 0.308450i | ||||
\(647\) | 10.7025 | − | 32.9389i | 0.420758 | − | 1.29496i | −0.486240 | − | 0.873825i | \(-0.661632\pi\) |
0.906998 | − | 0.421135i | \(-0.138368\pi\) | |||||||
\(648\) | 6.00186 | + | 10.3955i | 0.235775 | + | 0.408375i | ||||
\(649\) | −8.03848 | + | 38.6204i | −0.315538 | + | 1.51598i | ||||
\(650\) | 3.97799 | − | 6.89008i | 0.156030 | − | 0.270251i | ||||
\(651\) | −7.14470 | − | 33.6132i | −0.280023 | − | 1.31740i | ||||
\(652\) | −0.0848560 | − | 0.807351i | −0.00332322 | − | 0.0316183i | ||||
\(653\) | −15.9720 | − | 11.6043i | −0.625031 | − | 0.454112i | 0.229644 | − | 0.973275i | \(-0.426244\pi\) |
−0.854675 | + | 0.519163i | \(0.826244\pi\) | |||||||
\(654\) | 9.18622 | − | 2.98478i | 0.359210 | − | 0.116714i | ||||
\(655\) | −4.66260 | + | 21.9358i | −0.182183 | + | 0.857103i | ||||
\(656\) | 2.96055 | − | 1.31812i | 0.115590 | − | 0.0514641i | ||||
\(657\) | 9.46230 | + | 13.0237i | 0.369159 | + | 0.508104i | ||||
\(658\) | −6.47620 | − | 2.10424i | −0.252469 | − | 0.0820320i | ||||
\(659\) | −15.2646 | + | 26.4390i | −0.594622 | + | 1.02992i | 0.398978 | + | 0.916961i | \(0.369365\pi\) |
−0.993600 | + | 0.112956i | \(0.963968\pi\) | |||||||
\(660\) | 13.9886 | − | 12.7029i | 0.544506 | − | 0.494461i | ||||
\(661\) | 24.3919 | + | 14.0827i | 0.948735 | + | 0.547753i | 0.892688 | − | 0.450676i | \(-0.148817\pi\) |
0.0560474 | + | 0.998428i | \(0.482150\pi\) | |||||||
\(662\) | −0.596546 | − | 2.80653i | −0.0231854 | − | 0.109079i | ||||
\(663\) | 49.6226 | + | 22.0934i | 1.92718 | + | 0.858038i | ||||
\(664\) | 2.81152 | − | 3.86973i | 0.109108 | − | 0.150175i | ||||
\(665\) | −10.4898 | − | 3.00941i | −0.406779 | − | 0.116700i | ||||
\(666\) | 30.3460 | − | 9.86000i | 1.17588 | − | 0.382067i | ||||
\(667\) | 2.63999 | − | 25.1179i | 0.102221 | − | 0.972567i | ||||
\(668\) | 0.202228 | + | 0.0900378i | 0.00782445 | + | 0.00348367i | ||||
\(669\) | 34.9369 | + | 38.8013i | 1.35074 | + | 1.50015i | ||||
\(670\) | 2.62989 | − | 1.51837i | 0.101602 | − | 0.0586598i | ||||
\(671\) | 23.2862 | + | 7.45743i | 0.898954 | + | 0.287891i | ||||
\(672\) | −4.09657 | −0.158028 | ||||||||
\(673\) | −8.01739 | + | 24.6750i | −0.309048 | + | 0.951151i | 0.669088 | + | 0.743183i | \(0.266685\pi\) |
−0.978136 | + | 0.207968i | \(0.933315\pi\) | |||||||
\(674\) | −0.384125 | − | 3.65470i | −0.0147959 | − | 0.140774i | ||||
\(675\) | 6.26338 | + | 14.0678i | 0.241078 | + | 0.541469i | ||||
\(676\) | 4.46973 | + | 13.7564i | 0.171913 | + | 0.529093i | ||||
\(677\) | −14.0463 | − | 43.2301i | −0.539844 | − | 1.66147i | −0.732943 | − | 0.680290i | \(-0.761854\pi\) |
0.193099 | − | 0.981179i | \(-0.438146\pi\) | |||||||
\(678\) | 18.1729 | − | 8.09108i | 0.697925 | − | 0.310736i | ||||
\(679\) | −13.7941 | − | 6.14151i | −0.529367 | − | 0.235689i | ||||
\(680\) | −4.70745 | + | 4.23860i | −0.180522 | + | 0.162543i | ||||
\(681\) | −55.9471 | + | 32.3011i | −2.14390 | + | 1.23778i | ||||
\(682\) | −5.66931 | + | 27.2378i | −0.217089 | + | 1.04299i | ||||
\(683\) | 33.7112i | 1.28992i | 0.764215 | + | 0.644962i | \(0.223127\pi\) | ||||
−0.764215 | + | 0.644962i | \(0.776873\pi\) | |||||||
\(684\) | −21.7181 | + | 16.9635i | −0.830414 | + | 0.648614i | ||||
\(685\) | −16.5287 | + | 12.0088i | −0.631531 | + | 0.458834i | ||||
\(686\) | −16.2790 | − | 1.71099i | −0.621535 | − | 0.0653259i | ||||
\(687\) | 12.3608 | + | 11.1297i | 0.471594 | + | 0.424625i | ||||
\(688\) | −2.17059 | + | 10.2118i | −0.0827531 | + | 0.389323i | ||||
\(689\) | −45.9328 | − | 4.82773i | −1.74990 | − | 0.183922i | ||||
\(690\) | 13.6873 | − | 1.43860i | 0.521068 | − | 0.0547665i | ||||
\(691\) | −14.1902 | + | 43.6729i | −0.539820 | + | 1.66140i | 0.193177 | + | 0.981164i | \(0.438121\pi\) |
−0.732997 | + | 0.680232i | \(0.761879\pi\) | |||||||
\(692\) | 2.12370 | 0.0807310 | ||||||||
\(693\) | 0.118963 | + | 28.1334i | 0.00451905 | + | 1.06870i | ||||
\(694\) | 13.9673 | + | 8.06401i | 0.530191 | + | 0.306106i | ||||
\(695\) | 38.1359 | + | 12.3911i | 1.44658 | + | 0.470021i | ||||
\(696\) | −18.7632 | − | 25.8254i | −0.711218 | − | 0.978908i | ||||
\(697\) | 4.47468 | + | 10.0503i | 0.169491 | + | 0.380682i | ||||
\(698\) | −24.6057 | − | 22.1550i | −0.931338 | − | 0.838580i | ||||
\(699\) | 14.2493 | + | 3.02879i | 0.538959 | + | 0.114559i | ||||
\(700\) | −2.02574 | − | 0.212914i | −0.0765658 | − | 0.00804739i | ||||
\(701\) | 6.22640 | − | 13.9847i | 0.235168 | − | 0.528196i | −0.756955 | − | 0.653468i | \(-0.773314\pi\) |
0.992122 | + | 0.125272i | \(0.0399803\pi\) | |||||||
\(702\) | −50.5566 | − | 16.4268i | −1.90814 | − | 0.619991i | ||||
\(703\) | 9.64112 | + | 19.7738i | 0.363622 | + | 0.745784i | ||||
\(704\) | 3.03556 | + | 1.33617i | 0.114407 | + | 0.0503588i | ||||
\(705\) | 25.0409 | − | 14.4574i | 0.943095 | − | 0.544496i | ||||
\(706\) | −23.1815 | + | 4.92738i | −0.872448 | + | 0.185444i | ||||
\(707\) | −0.815141 | − | 7.75555i | −0.0306565 | − | 0.291677i | ||||
\(708\) | −3.79598 | + | 36.1163i | −0.142662 | + | 1.35733i | ||||
\(709\) | −45.3375 | − | 9.63678i | −1.70268 | − | 0.361917i | −0.748964 | − | 0.662611i | \(-0.769448\pi\) |
−0.953721 | + | 0.300694i | \(0.902782\pi\) | |||||||
\(710\) | −6.08643 | + | 1.97760i | −0.228420 | + | 0.0742181i | ||||
\(711\) | −40.9487 | − | 29.7510i | −1.53570 | − | 1.11575i | ||||
\(712\) | 11.7208 | − | 1.23190i | 0.439254 | − | 0.0461675i | ||||
\(713\) | −15.0591 | + | 13.5592i | −0.563966 | + | 0.507797i | ||||
\(714\) | − | 13.9067i | − | 0.520447i | ||||||
\(715\) | −3.25375 | + | 32.2694i | −0.121683 | + | 1.20681i | ||||
\(716\) | 5.51623 | + | 3.18480i | 0.206151 | + | 0.119021i | ||||
\(717\) | 30.6187 | − | 6.50821i | 1.14348 | − | 0.243053i | ||||
\(718\) | 9.67471 | − | 1.01685i | 0.361057 | − | 0.0379486i | ||||
\(719\) | −3.92042 | + | 37.3003i | −0.146207 | + | 1.39107i | 0.637746 | + | 0.770247i | \(0.279867\pi\) |
−0.783953 | + | 0.620820i | \(0.786800\pi\) | |||||||
\(720\) | 7.89380 | − | 8.76695i | 0.294185 | − | 0.326725i | ||||
\(721\) | −2.20700 | − | 6.79245i | −0.0821930 | − | 0.252964i | ||||
\(722\) | −13.6640 | − | 13.2021i | −0.508521 | − | 0.491331i | ||||
\(723\) | 10.0341 | + | 13.8108i | 0.373173 | + | 0.513628i | ||||
\(724\) | 0.780268 | + | 3.67087i | 0.0289984 | + | 0.136427i | ||||
\(725\) | −7.93612 | − | 13.7458i | −0.294740 | − | 0.510505i | ||||
\(726\) | 13.4005 | − | 30.7963i | 0.497339 | − | 1.14296i | ||||
\(727\) | 16.9344 | + | 29.3312i | 0.628062 | + | 1.08784i | 0.987940 | + | 0.154836i | \(0.0494850\pi\) |
−0.359878 | + | 0.932999i | \(0.617182\pi\) | |||||||
\(728\) | 5.22539 | − | 4.70496i | 0.193666 | − | 0.174377i | ||||
\(729\) | −13.7703 | + | 10.0047i | −0.510011 | + | 0.370545i | ||||
\(730\) | 2.79276 | − | 3.84391i | 0.103365 | − | 0.142269i | ||||
\(731\) | −34.6665 | − | 7.36859i | −1.28219 | − | 0.272537i | ||||
\(732\) | 22.0175 | + | 4.67996i | 0.813789 | + | 0.172976i | ||||
\(733\) | 3.31490 | − | 4.56257i | 0.122439 | − | 0.168522i | −0.743398 | − | 0.668850i | \(-0.766787\pi\) |
0.865836 | + | 0.500327i | \(0.166787\pi\) | |||||||
\(734\) | −19.7821 | + | 14.3725i | −0.730171 | + | 0.530500i | ||||
\(735\) | 22.0154 | − | 19.8227i | 0.812049 | − | 0.731172i | ||||
\(736\) | 1.20784 | + | 2.09204i | 0.0445215 | + | 0.0771135i | ||||
\(737\) | 3.15411 | − | 4.38010i | 0.116183 | − | 0.161343i | ||||
\(738\) | −10.2443 | − | 17.7436i | −0.377098 | − | 0.653152i | ||||
\(739\) | −3.38841 | − | 15.9412i | −0.124645 | − | 0.586408i | −0.995491 | − | 0.0948528i | \(-0.969762\pi\) |
0.870846 | − | 0.491555i | \(-0.163571\pi\) | |||||||
\(740\) | −5.53542 | − | 7.61886i | −0.203486 | − | 0.280075i | ||||
\(741\) | 12.1203 | − | 68.6851i | 0.445252 | − | 2.52321i | ||||
\(742\) | 3.65399 | + | 11.2458i | 0.134142 | + | 0.412847i | ||||
\(743\) | 15.3267 | − | 17.0220i | 0.562281 | − | 0.624477i | −0.393227 | − | 0.919442i | \(-0.628641\pi\) |
0.955508 | + | 0.294965i | \(0.0953079\pi\) | |||||||
\(744\) | −2.67719 | + | 25.4718i | −0.0981506 | + | 0.933840i | ||||
\(745\) | 14.3796 | − | 1.51136i | 0.526828 | − | 0.0553718i | ||||
\(746\) | 16.8758 | − | 3.58706i | 0.617866 | − | 0.131332i | ||||
\(747\) | −26.1892 | − | 15.1204i | −0.958214 | − | 0.553225i | ||||
\(748\) | −4.53594 | + | 10.3049i | −0.165850 | + | 0.376786i | ||||
\(749\) | − | 0.717182i | − | 0.0262053i | ||||||
\(750\) | 27.5970 | − | 24.8485i | 1.00770 | − | 0.907338i | ||||
\(751\) | 9.29735 | − | 0.977191i | 0.339265 | − | 0.0356582i | 0.0666359 | − | 0.997777i | \(-0.478773\pi\) |
0.272629 | + | 0.962119i | \(0.412107\pi\) | |||||||
\(752\) | 4.10593 | + | 2.98313i | 0.149728 | + | 0.108784i | ||||
\(753\) | −67.5517 | + | 21.9489i | −2.46172 | + | 0.799861i | ||||
\(754\) | 53.5943 | + | 11.3918i | 1.95179 | + | 0.414865i | ||||
\(755\) | 0.261172 | − | 2.48488i | 0.00950502 | − | 0.0904342i | ||||
\(756\) | 1.42260 | + | 13.5351i | 0.0517393 | + | 0.492267i | ||||
\(757\) | 10.7009 | − | 2.27454i | 0.388929 | − | 0.0826695i | −0.00929665 | − | 0.999957i | \(-0.502959\pi\) |
0.398226 | + | 0.917287i | \(0.369626\pi\) | |||||||
\(758\) | 16.7458 | − | 9.66819i | 0.608235 | − | 0.351165i | ||||
\(759\) | 21.1329 | − | 12.3205i | 0.767077 | − | 0.447208i | ||||
\(760\) | 6.74247 | + | 4.54914i | 0.244575 | + | 0.165015i | ||||
\(761\) | −23.1014 | − | 7.50611i | −0.837427 | − | 0.272096i | −0.141256 | − | 0.989973i | \(-0.545114\pi\) |
−0.696170 | + | 0.717877i | \(0.745114\pi\) | |||||||
\(762\) | −0.674344 | + | 1.51460i | −0.0244289 | + | 0.0548683i | ||||
\(763\) | 4.22130 | + | 0.443676i | 0.152821 | + | 0.0160622i | ||||
\(764\) | 1.71336 | + | 0.364185i | 0.0619871 | + | 0.0131758i | ||||
\(765\) | 29.7615 | + | 26.7973i | 1.07603 | + | 0.968860i | ||||
\(766\) | 9.43058 | + | 21.1814i | 0.340741 | + | 0.765316i | ||||
\(767\) | −36.6381 | − | 50.4280i | −1.32292 | − | 1.82085i | ||||
\(768\) | 2.90379 | + | 0.943500i | 0.104782 | + | 0.0340456i | ||||
\(769\) | 3.03006 | + | 1.74941i | 0.109267 | + | 0.0630852i | 0.553637 | − | 0.832758i | \(-0.313239\pi\) |
−0.444371 | + | 0.895843i | \(0.646573\pi\) | |||||||
\(770\) | 7.88621 | − | 2.59930i | 0.284199 | − | 0.0936724i | ||||
\(771\) | 68.7903 | 2.47742 | ||||||||
\(772\) | 4.56089 | − | 14.0370i | 0.164150 | − | 0.505202i | ||||
\(773\) | −20.5921 | + | 2.16431i | −0.740645 | + | 0.0778449i | −0.467334 | − | 0.884081i | \(-0.654785\pi\) |
−0.273311 | + | 0.961926i | \(0.588119\pi\) | |||||||
\(774\) | 65.6422 | + | 6.89927i | 2.35946 | + | 0.247989i | ||||
\(775\) | −2.64773 | + | 12.4566i | −0.0951091 | + | 0.447453i | ||||
\(776\) | 8.36324 | + | 7.53030i | 0.300223 | + | 0.270322i | ||||
\(777\) | 20.5618 | + | 2.16113i | 0.737649 | + | 0.0775300i | ||||
\(778\) | 21.7106 | − | 15.7737i | 0.778362 | − | 0.565513i | ||||
\(779\) | 11.1326 | − | 8.69538i | 0.398867 | − | 0.311544i | ||||
\(780\) | 29.8573i | 1.06906i | ||||||||
\(781\) | −8.42092 | + | 7.64695i | −0.301324 | + | 0.273629i | ||||
\(782\) | −7.10191 | + | 4.10029i | −0.253964 | + | 0.146626i | ||||
\(783\) | −78.8115 | + | 70.9622i | −2.81649 | + | 2.53598i | ||||
\(784\) | 4.75025 | + | 2.11495i | 0.169652 | + | 0.0755339i | ||||
\(785\) | 33.4236 | − | 14.8811i | 1.19294 | − | 0.531131i | ||||
\(786\) | 11.3393 | + | 34.8987i | 0.404458 | + | 1.24479i | ||||
\(787\) | 0.598860 | + | 1.84310i | 0.0213471 | + | 0.0656995i | 0.961163 | − | 0.275983i | \(-0.0890033\pi\) |
−0.939815 | + | 0.341682i | \(0.889003\pi\) | |||||||
\(788\) | 10.4378 | + | 23.4437i | 0.371832 | + | 0.835149i | ||||
\(789\) | −9.88172 | − | 94.0183i | −0.351799 | − | 3.34714i | ||||
\(790\) | −4.61639 | + | 14.2078i | −0.164244 | + | 0.505491i | ||||
\(791\) | 8.74167 | 0.310818 | ||||||||
\(792\) | 6.39521 | − | 19.9694i | 0.227244 | − | 0.709580i | ||||
\(793\) | −33.4595 | + | 19.3178i | −1.18818 | + | 0.685996i | ||||
\(794\) | −22.7857 | − | 25.3061i | −0.808634 | − | 0.898079i | ||||
\(795\) | −45.8691 | − | 20.4222i | −1.62681 | − | 0.724302i | ||||
\(796\) | −0.561161 | + | 5.33909i | −0.0198898 | + | 0.189239i | ||||
\(797\) | −16.5031 | + | 5.36217i | −0.584569 | + | 0.189938i | −0.586346 | − | 0.810061i | \(-0.699434\pi\) |
0.00177752 | + | 0.999998i | \(0.499434\pi\) | |||||||
\(798\) | −17.3267 | + | 4.31760i | −0.613358 | + | 0.152842i | ||||
\(799\) | −10.1269 | + | 13.9385i | −0.358265 | + | 0.493109i | ||||
\(800\) | 1.38688 | + | 0.617479i | 0.0490336 | + | 0.0218312i | ||||
\(801\) | −15.4914 | − | 72.8811i | −0.547360 | − | 2.57513i | ||||
\(802\) | −25.4692 | − | 14.7046i | −0.899347 | − | 0.519238i | ||||
\(803\) | 1.72089 | − | 8.26792i | 0.0607289 | − | 0.291768i | ||||
\(804\) | 2.48445 | − | 4.30320i | 0.0876199 | − | 0.151762i | ||||
\(805\) | 5.75191 | + | 1.86891i | 0.202728 | + | 0.0658704i | ||||
\(806\) | −25.8398 | − | 35.5654i | −0.910167 | − | 1.25274i | ||||
\(807\) | 0.0205384 | − | 0.00914430i | 0.000722987 | − | 0.000321895i | ||||
\(808\) | −1.20842 | + | 5.68515i | −0.0425119 | + | 0.200003i | ||||
\(809\) | −19.4955 | + | 6.33446i | −0.685424 | + | 0.222708i | −0.630969 | − | 0.775808i | \(-0.717342\pi\) |
−0.0544556 | + | 0.998516i | \(0.517342\pi\) | |||||||
\(810\) | −18.1209 | − | 13.1656i | −0.636704 | − | 0.462592i | ||||
\(811\) | 1.56022 | + | 14.8445i | 0.0547869 | + | 0.521262i | 0.987157 | + | 0.159756i | \(0.0510708\pi\) |
−0.932370 | + | 0.361506i | \(0.882263\pi\) | |||||||
\(812\) | −2.91655 | − | 13.7213i | −0.102351 | − | 0.481522i | ||||
\(813\) | −1.41853 | + | 2.45696i | −0.0497499 | + | 0.0861693i | ||||
\(814\) | −14.5314 | − | 8.30799i | −0.509326 | − | 0.291195i | ||||
\(815\) | 0.757399 | + | 1.31185i | 0.0265305 | + | 0.0459522i | ||||
\(816\) | −3.20293 | + | 9.85760i | −0.112125 | + | 0.345085i | ||||
\(817\) | 1.58219 | + | 45.4793i | 0.0553537 | + | 1.59112i | ||||
\(818\) | 23.8217 | + | 17.3075i | 0.832907 | + | 0.605142i | ||||
\(819\) | −33.0360 | − | 29.7458i | −1.15437 | − | 1.03940i | ||||
\(820\) | −4.04632 | + | 4.49389i | −0.141304 | + | 0.156934i | ||||
\(821\) | 12.3881 | + | 27.8240i | 0.432346 | + | 0.971066i | 0.990010 | + | 0.140999i | \(0.0450313\pi\) |
−0.557663 | + | 0.830067i | \(0.688302\pi\) | |||||||
\(822\) | −13.5972 | + | 30.5397i | −0.474256 | + | 1.06520i | ||||
\(823\) | 12.9874 | + | 14.4240i | 0.452713 | + | 0.502789i | 0.925688 | − | 0.378287i | \(-0.123487\pi\) |
−0.472975 | + | 0.881076i | \(0.656820\pi\) | |||||||
\(824\) | 5.32304i | 0.185437i | ||||||||
\(825\) | 6.19341 | − | 14.0704i | 0.215627 | − | 0.489870i | ||||
\(826\) | −7.97921 | + | 13.8204i | −0.277632 | + | 0.480873i | ||||
\(827\) | −4.85619 | − | 5.39335i | −0.168866 | − | 0.187545i | 0.652772 | − | 0.757555i | \(-0.273606\pi\) |
−0.821638 | + | 0.570010i | \(0.806939\pi\) | |||||||
\(828\) | 12.3556 | − | 8.97690i | 0.429388 | − | 0.311969i | ||||
\(829\) | 14.6386 | − | 20.1484i | 0.508421 | − | 0.699782i | −0.475231 | − | 0.879861i | \(-0.657635\pi\) |
0.983652 | + | 0.180079i | \(0.0576355\pi\) | |||||||
\(830\) | −1.85570 | + | 8.73039i | −0.0644124 | + | 0.303036i | ||||
\(831\) | −45.2586 | + | 50.2648i | −1.57000 | + | 1.74367i | ||||
\(832\) | −4.78757 | + | 2.13156i | −0.165979 | + | 0.0738986i | ||||
\(833\) | −7.17969 | + | 16.1258i | −0.248761 | + | 0.558727i | ||||
\(834\) | 64.1778 | − | 13.6414i | 2.22230 | − | 0.472363i | ||||
\(835\) | −0.413065 | −0.0142947 | ||||||||
\(836\) | 14.2474 | + | 2.45205i | 0.492755 | + | 0.0848060i | ||||
\(837\) | 85.0887 | 2.94110 | ||||||||
\(838\) | 10.5458 | − | 2.24158i | 0.364298 | − | 0.0774340i | ||||
\(839\) | 18.6708 | − | 41.9353i | 0.644588 | − | 1.44777i | −0.234982 | − | 0.972000i | \(-0.575503\pi\) |
0.879570 | − | 0.475769i | \(-0.157830\pi\) | |||||||
\(840\) | 6.98323 | − | 3.10914i | 0.240944 | − | 0.107275i | ||||
\(841\) | 53.7377 | − | 59.6817i | 1.85302 | − | 2.05799i | ||||
\(842\) | 0.429170 | − | 2.01909i | 0.0147902 | − | 0.0695823i | ||||
\(843\) | 20.8007 | − | 28.6297i | 0.716415 | − | 0.986060i | ||||
\(844\) | 9.28389 | − | 6.74514i | 0.319565 | − | 0.232177i | ||||
\(845\) | −18.0599 | − | 20.0576i | −0.621281 | − | 0.690002i | ||||
\(846\) | 16.0433 | − | 27.7877i | 0.551578 | − | 0.955362i | ||||
\(847\) | 10.8841 | − | 9.96802i | 0.373981 | − | 0.342505i | ||||
\(848\) | − | 8.81300i | − | 0.302640i | ||||||
\(849\) | −46.3027 | − | 51.4244i | −1.58911 | − | 1.76488i | ||||
\(850\) | −2.09618 | + | 4.70809i | −0.0718982 | + | 0.161486i | ||||
\(851\) | −4.95882 | − | 11.1377i | −0.169986 | − | 0.381795i | ||||
\(852\) | −7.00681 | + | 7.78185i | −0.240049 | + | 0.266602i | ||||
\(853\) | −2.05720 | − | 1.85231i | −0.0704371 | − | 0.0634218i | 0.633160 | − | 0.774021i | \(-0.281757\pi\) |
−0.703597 | + | 0.710599i | \(0.748424\pi\) | |||||||
\(854\) | 8.00243 | + | 5.81410i | 0.273837 | + | 0.198954i | ||||
\(855\) | 24.1473 | − | 45.4001i | 0.825821 | − | 1.55265i | ||||
\(856\) | −0.165178 | + | 0.508365i | −0.00564566 | + | 0.0173755i | ||||
\(857\) | 9.14573 | + | 15.8409i | 0.312412 | + | 0.541114i | 0.978884 | − | 0.204416i | \(-0.0655297\pi\) |
−0.666472 | + | 0.745530i | \(0.732196\pi\) | |||||||
\(858\) | 21.7899 | + | 48.3892i | 0.743895 | + | 1.65198i | ||||
\(859\) | 26.9880 | − | 46.7446i | 0.920818 | − | 1.59490i | 0.122665 | − | 0.992448i | \(-0.460856\pi\) |
0.798153 | − | 0.602455i | \(-0.205811\pi\) | |||||||
\(860\) | −4.05028 | − | 19.0551i | −0.138113 | − | 0.649772i | ||||
\(861\) | −1.38771 | − | 13.2031i | −0.0472929 | − | 0.449962i | ||||
\(862\) | 5.82192 | + | 4.22987i | 0.198295 | + | 0.144070i | ||||
\(863\) | −20.9643 | + | 6.81171i | −0.713633 | + | 0.231873i | −0.643261 | − | 0.765647i | \(-0.722419\pi\) |
−0.0703726 | + | 0.997521i | \(0.522419\pi\) | |||||||
\(864\) | 2.10895 | − | 9.92181i | 0.0717478 | − | 0.337547i | ||||
\(865\) | −3.62018 | + | 1.61181i | −0.123090 | + | 0.0548031i | ||||
\(866\) | 1.64357 | + | 2.26217i | 0.0558506 | + | 0.0768718i | ||||
\(867\) | 15.9006 | + | 5.16640i | 0.540011 | + | 0.175460i | ||||
\(868\) | −5.62750 | + | 9.74712i | −0.191010 | + | 0.330839i | ||||
\(869\) | 2.88716 | + | 26.3954i | 0.0979403 | + | 0.895402i | ||||
\(870\) | 51.5853 | + | 29.7828i | 1.74890 | + | 1.00973i | ||||
\(871\) | 1.77323 | + | 8.34239i | 0.0600836 | + | 0.282671i | ||||
\(872\) | −2.89002 | − | 1.28672i | −0.0978685 | − | 0.0435739i | ||||
\(873\) | 41.8205 | − | 57.5609i | 1.41541 | − | 1.94814i | ||||
\(874\) | 7.31354 | + | 7.57539i | 0.247384 | + | 0.256241i | ||||
\(875\) | 15.5202 | − | 5.04281i | 0.524677 | − | 0.170478i | ||||
\(876\) | 0.812649 | − | 7.73184i | 0.0274569 | − | 0.261235i | ||||
\(877\) | 26.8141 | + | 11.9384i | 0.905449 | + | 0.403132i | 0.806003 | − | 0.591911i | \(-0.201626\pi\) |
0.0994455 | + | 0.995043i | \(0.468293\pi\) | |||||||
\(878\) | 1.35168 | + | 1.50119i | 0.0456170 | + | 0.0506628i | ||||
\(879\) | −14.2919 | + | 8.25144i | −0.482054 | + | 0.278314i | ||||
\(880\) | −6.18869 | + | 0.0261692i | −0.208621 | + | 0.000882163i | ||||
\(881\) | 0.714239 | 0.0240633 | 0.0120317 | − | 0.999928i | \(-0.496170\pi\) | ||||
0.0120317 | + | 0.999928i | \(0.496170\pi\) | |||||||
\(882\) | 10.1587 | − | 31.2652i | 0.342061 | − | 1.05276i | ||||
\(883\) | −4.46895 | − | 42.5193i | −0.150392 | − | 1.43089i | −0.766003 | − | 0.642837i | \(-0.777757\pi\) |
0.615611 | − | 0.788050i | \(-0.288909\pi\) | |||||||
\(884\) | −7.23608 | − | 16.2525i | −0.243376 | − | 0.546631i | ||||
\(885\) | −20.9400 | − | 64.4468i | −0.703892 | − | 2.16636i | ||||
\(886\) | 7.16955 | + | 22.0656i | 0.240866 | + | 0.741308i | ||||
\(887\) | −15.8548 | + | 7.05903i | −0.532353 | + | 0.237019i | −0.655266 | − | 0.755399i | \(-0.727443\pi\) |
0.122912 | + | 0.992418i | \(0.460777\pi\) | |||||||
\(888\) | −14.0772 | − | 6.26756i | −0.472399 | − | 0.210326i | ||||
\(889\) | −0.541431 | + | 0.487506i | −0.0181590 | + | 0.0163504i | ||||
\(890\) | −19.0449 | + | 10.9956i | −0.638386 | + | 0.368572i | ||||
\(891\) | −38.9765 | − | 8.11260i | −1.30576 | − | 0.271782i | ||||
\(892\) | − | 17.1007i | − | 0.572574i | ||||||
\(893\) | 20.5103 | + | 8.28985i | 0.686353 | + | 0.277409i | ||||
\(894\) | 19.1401 | − | 13.9061i | 0.640139 | − | 0.465088i | ||||
\(895\) | −11.8204 | − | 1.24238i | −0.395113 | − | 0.0415280i | ||||
\(896\) | 0.997089 | + | 0.897783i | 0.0333104 | + | 0.0299928i | ||||
\(897\) | −8.03641 | + | 37.8083i | −0.268328 | + | 1.26238i | ||||
\(898\) | −41.8189 | − | 4.39534i | −1.39551 | − | 0.146674i | ||||
\(899\) | −87.2226 | + | 9.16746i | −2.90904 | + | 0.305752i | ||||
\(900\) | 2.96592 | − | 9.12818i | 0.0988641 | − | 0.304273i | ||||
\(901\) | 29.9178 | 0.996706 | ||||||||
\(902\) | −3.27815 | + | 10.2362i | −0.109150 | + | 0.340828i | ||||
\(903\) | 37.0382 | + | 21.3840i | 1.23256 | + | 0.711616i | ||||
\(904\) | −6.19641 | − | 2.01334i | −0.206089 | − | 0.0669625i | ||||
\(905\) | −4.11614 | − | 5.66538i | −0.136825 | − | 0.188324i | ||||
\(906\) | −1.66287 | − | 3.73487i | −0.0552452 | − | 0.124083i | ||||
\(907\) | 21.6419 | + | 19.4864i | 0.718607 | + | 0.647036i | 0.945027 | − | 0.326993i | \(-0.106035\pi\) |
−0.226420 | + | 0.974030i | \(0.572702\pi\) | |||||||
\(908\) | 20.6963 | + | 4.39913i | 0.686830 | + | 0.145990i | ||||
\(909\) | 36.5444 | + | 3.84097i | 1.21210 | + | 0.127397i | ||||
\(910\) | −5.33660 | + | 11.9862i | −0.176907 | + | 0.397339i | ||||
\(911\) | −43.8313 | − | 14.2417i | −1.45220 | − | 0.471847i | −0.526520 | − | 0.850163i | \(-0.676503\pi\) |
−0.925677 | + | 0.378315i | \(0.876503\pi\) | |||||||
\(912\) | 13.2762 | + | 0.930115i | 0.439618 | + | 0.0307992i | ||||
\(913\) | 3.36395 | + | 15.5035i | 0.111330 | + | 0.513090i | ||||
\(914\) | 14.4531 | − | 8.34447i | 0.478065 | − | 0.276011i | ||||
\(915\) | −41.0841 | + | 8.73269i | −1.35820 | + | 0.288694i | ||||
\(916\) | −0.569440 | − | 5.41786i | −0.0188148 | − | 0.179011i | ||||
\(917\) | −1.68554 | + | 16.0368i | −0.0556613 | + | 0.529582i | ||||
\(918\) | 33.6819 | + | 7.15931i | 1.11167 | + | 0.236292i | ||||
\(919\) | −53.4934 | + | 17.3811i | −1.76459 | + | 0.573349i | −0.997659 | − | 0.0683856i | \(-0.978215\pi\) |
−0.766927 | + | 0.641734i | \(0.778215\pi\) | |||||||
\(920\) | −3.64672 | − | 2.64950i | −0.120229 | − | 0.0873514i | ||||
\(921\) | −18.6015 | + | 1.95510i | −0.612941 | + | 0.0644227i | ||||
\(922\) | 21.4234 | − | 19.2897i | 0.705541 | − | 0.635272i | ||||
\(923\) | − | 17.9736i | − | 0.591608i | ||||||
\(924\) | 9.04855 | − | 10.1353i | 0.297675 | − | 0.333427i | ||||
\(925\) | −6.63537 | − | 3.83093i | −0.218170 | − | 0.125960i | ||||
\(926\) | −27.4537 | + | 5.83546i | −0.902184 | + | 0.191765i | ||||
\(927\) | 33.4690 | − | 3.51773i | 1.09927 | − | 0.115538i | ||||
\(928\) | −1.09286 | + | 10.3979i | −0.0358748 | + | 0.341326i | ||||
\(929\) | −33.6337 | + | 37.3540i | −1.10349 | + | 1.22554i | −0.131297 | + | 0.991343i | \(0.541914\pi\) |
−0.972188 | + | 0.234201i | \(0.924752\pi\) | |||||||
\(930\) | −14.7684 | − | 45.4525i | −0.484275 | − | 1.49045i | ||||
\(931\) | 22.3205 | + | 3.93874i | 0.731526 | + | 0.129087i | ||||
\(932\) | −2.80446 | − | 3.86000i | −0.0918630 | − | 0.126439i | ||||
\(933\) | 19.5687 | + | 92.0637i | 0.640652 | + | 3.01403i | ||||
\(934\) | 10.7686 | + | 18.6518i | 0.352360 | + | 0.610306i | ||||
\(935\) | −0.0888374 | − | 21.0090i | −0.00290529 | − | 0.687066i | ||||
\(936\) | 16.5662 | + | 28.6936i | 0.541484 | + | 0.937878i | ||||
\(937\) | 40.4866 | − | 36.4543i | 1.32264 | − | 1.19091i | 0.356085 | − | 0.934453i | \(-0.384111\pi\) |
0.966555 | − | 0.256458i | \(-0.0825555\pi\) | |||||||
\(938\) | 1.76652 | − | 1.28345i | 0.0576790 | − | 0.0419063i | ||||
\(939\) | −55.7675 | + | 76.7574i | −1.81990 | + | 2.50488i | ||||
\(940\) | −9.26327 | − | 1.96897i | −0.302134 | − | 0.0642207i | ||||
\(941\) | 44.0483 | + | 9.36275i | 1.43593 | + | 0.305217i | 0.859168 | − | 0.511693i | \(-0.170982\pi\) |
0.576765 | + | 0.816910i | \(0.304315\pi\) | |||||||
\(942\) | 35.1880 | − | 48.4321i | 1.14649 | − | 1.57800i | ||||
\(943\) | −6.33344 | + | 4.60151i | −0.206245 | + | 0.149846i | ||||
\(944\) | 8.83900 | − | 7.95867i | 0.287685 | − | 0.259033i | ||||
\(945\) | −12.6977 | − | 21.9930i | −0.413055 | − | 0.715432i | ||||
\(946\) | −20.4706 | − | 27.9263i | −0.665558 | − | 0.907963i | ||||
\(947\) | −1.39458 | − | 2.41548i | −0.0453177 | − | 0.0784926i | 0.842477 | − | 0.538733i | \(-0.181097\pi\) |
−0.887795 | + | 0.460240i | \(0.847763\pi\) | |||||||
\(948\) | 5.08221 | + | 23.9099i | 0.165062 | + | 0.776558i | ||||
\(949\) | 7.84355 | + | 10.7957i | 0.254612 | + | 0.350444i | ||||
\(950\) | 6.51669 | + | 1.14995i | 0.211429 | + | 0.0373093i | ||||
\(951\) | 9.35040 | + | 28.7776i | 0.303207 | + | 0.933176i | ||||
\(952\) | −3.04773 | + | 3.38485i | −0.0987776 | + | 0.109704i | ||||
\(953\) | 2.35062 | − | 22.3647i | 0.0761442 | − | 0.724464i | −0.888136 | − | 0.459580i | \(-0.848000\pi\) |
0.964280 | − | 0.264883i | \(-0.0853335\pi\) | |||||||
\(954\) | −55.4124 | + | 5.82408i | −1.79404 | + | 0.188562i | ||||
\(955\) | −3.19708 | + | 0.679561i | −0.103455 | + | 0.0219901i | ||||
\(956\) | −8.87879 | − | 5.12617i | −0.287161 | − | 0.165792i | ||||
\(957\) | 105.339 | + | 10.6214i | 3.40512 | + | 0.343341i | ||||
\(958\) | − | 12.7020i | − | 0.410384i | ||||||
\(959\) | −10.9172 | + | 9.82986i | −0.352534 | + | 0.317423i | ||||
\(960\) | −5.66605 | + | 0.595525i | −0.182871 | + | 0.0192205i | ||||
\(961\) | 31.8488 | + | 23.1395i | 1.02738 | + | 0.746435i | ||||
\(962\) | 25.1546 | − | 8.17321i | 0.811016 | − | 0.263515i | ||||
\(963\) | 3.30554 | + | 0.702614i | 0.106520 | + | 0.0226414i | ||||
\(964\) | 0.584434 | − | 5.56052i | 0.0188233 | − | 0.179092i | ||||
\(965\) | 2.87878 | + | 27.3898i | 0.0926712 | + | 0.881707i | ||||
\(966\) | 9.67973 | − | 2.05749i | 0.311440 | − | 0.0661987i | ||||
\(967\) | 20.3073 | − | 11.7244i | 0.653040 | − | 0.377033i | −0.136580 | − | 0.990629i | \(-0.543611\pi\) |
0.789620 | + | 0.613596i | \(0.210278\pi\) | |||||||
\(968\) | −10.0108 | + | 4.55893i | −0.321759 | + | 0.146529i | ||||
\(969\) | −3.15749 | + | 45.0691i | −0.101433 | + | 1.44783i | ||||
\(970\) | −19.9716 | − | 6.48918i | −0.641251 | − | 0.208355i | ||||
\(971\) | −10.3896 | + | 23.3354i | −0.333418 | + | 0.748868i | 0.666577 | + | 0.745437i | \(0.267759\pi\) |
−0.999994 | + | 0.00343157i | \(0.998908\pi\) | |||||||
\(972\) | −6.18562 | − | 0.650135i | −0.198404 | − | 0.0208531i | ||||
\(973\) | 28.2024 | + | 5.99460i | 0.904127 | + | 0.192178i | ||||
\(974\) | 11.2647 | + | 10.1428i | 0.360943 | + | 0.324995i | ||||
\(975\) | 9.88021 | + | 22.1913i | 0.316420 | + | 0.710691i | ||||
\(976\) | −4.33333 | − | 5.96432i | −0.138707 | − | 0.190913i | ||||
\(977\) | −20.1110 | − | 6.53445i | −0.643407 | − | 0.209056i | −0.0309022 | − | 0.999522i | \(-0.509838\pi\) |
−0.612505 | + | 0.790467i | \(0.709838\pi\) | |||||||
\(978\) | 2.14654 | + | 1.23930i | 0.0686387 | + | 0.0396286i | ||||
\(979\) | −22.8411 | + | 31.7193i | −0.730006 | + | 1.01375i | ||||
\(980\) | −9.70271 | −0.309942 | ||||||||
\(981\) | −6.18048 | + | 19.0216i | −0.197328 | + | 0.607312i | ||||
\(982\) | 5.22755 | − | 0.549437i | 0.166818 | − | 0.0175333i | ||||
\(983\) | 12.7940 | + | 1.34470i | 0.408065 | + | 0.0428894i | 0.306338 | − | 0.951923i | \(-0.400896\pi\) |
0.101728 | + | 0.994812i | \(0.467563\pi\) | |||||||
\(984\) | −2.05722 | + | 9.67847i | −0.0655819 | + | 0.308538i | ||||
\(985\) | −35.5858 | − | 32.0416i | −1.13386 | − | 1.02093i | ||||
\(986\) | −35.2979 | − | 3.70996i | −1.12412 | − | 0.118149i | ||||
\(987\) | 16.8202 | − | 12.2206i | 0.535393 | − | 0.388986i | ||||
\(988\) | −18.0027 | + | 14.0615i | −0.572743 | + | 0.447355i | ||||
\(989\) | − | 25.2196i | − | 0.801937i | ||||||
\(990\) | 4.25434 | + | 38.8946i | 0.135212 | + | 1.23615i | ||||
\(991\) | 48.8292 | − | 28.1915i | 1.55111 | − | 0.895534i | 0.553058 | − | 0.833143i | \(-0.313461\pi\) |
0.998052 | − | 0.0623912i | \(-0.0198726\pi\) | |||||||
\(992\) | 6.23389 | − | 5.61302i | 0.197926 | − | 0.178213i | ||||
\(993\) | 8.00303 | + | 3.56318i | 0.253969 | + | 0.113074i | ||||
\(994\) | −4.20379 | + | 1.87165i | −0.133336 | + | 0.0593650i | ||||
\(995\) | −3.09558 | − | 9.52720i | −0.0981364 | − | 0.302033i | ||||
\(996\) | 4.51299 | + | 13.8896i | 0.143000 | + | 0.440108i | ||||
\(997\) | 1.38758 | + | 3.11655i | 0.0439450 | + | 0.0987022i | 0.934184 | − | 0.356792i | \(-0.116129\pi\) |
−0.890239 | + | 0.455494i | \(0.849463\pi\) | |||||||
\(998\) | 2.52981 | + | 24.0695i | 0.0800796 | + | 0.761907i | ||||
\(999\) | −15.8196 | + | 48.6876i | −0.500509 | + | 1.54041i |
(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 | 418.2.s.a.145.1 | ✓ | 80 | |
11.6 | odd | 10 | 418.2.s.b.259.1 | yes | 80 | ||
19.8 | odd | 6 | 418.2.s.b.255.1 | yes | 80 | ||
209.160 | even | 30 | inner | 418.2.s.a.369.1 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.s.a.145.1 | ✓ | 80 | 1.1 | even | 1 | trivial | |
418.2.s.a.369.1 | yes | 80 | 209.160 | even | 30 | inner | |
418.2.s.b.255.1 | yes | 80 | 19.8 | odd | 6 | ||
418.2.s.b.259.1 | yes | 80 | 11.6 | odd | 10 |