Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(13,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([19, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.s (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 13.2 | ||
Character | \(\chi\) | \(=\) | 175.13 |
Dual form | 175.2.s.a.27.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{19}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.43824 | + | 0.386179i | −1.72409 | + | 0.273070i | −0.938402 | − | 0.345547i | \(-0.887694\pi\) |
−0.785693 | + | 0.618616i | \(0.787694\pi\) | |||||||
\(3\) | 0.183665 | + | 0.0935818i | 0.106039 | + | 0.0540295i | 0.506205 | − | 0.862413i | \(-0.331048\pi\) |
−0.400167 | + | 0.916442i | \(0.631048\pi\) | |||||||
\(4\) | 3.89376 | − | 1.26516i | 1.94688 | − | 0.632579i | ||||
\(5\) | −2.22917 | − | 0.175511i | −0.996915 | − | 0.0784910i | ||||
\(6\) | −0.483957 | − | 0.157247i | −0.197575 | − | 0.0641959i | ||||
\(7\) | 1.07566 | + | 2.41722i | 0.406562 | + | 0.913623i | ||||
\(8\) | −4.60620 | + | 2.34698i | −1.62854 | + | 0.829781i | ||||
\(9\) | −1.73838 | − | 2.39268i | −0.579460 | − | 0.797559i | ||||
\(10\) | 5.50302 | − | 0.432920i | 1.74021 | − | 0.136901i | ||||
\(11\) | 3.57144 | + | 2.59480i | 1.07683 | + | 0.782362i | 0.977127 | − | 0.212656i | \(-0.0682113\pi\) |
0.0997012 | + | 0.995017i | \(0.468211\pi\) | |||||||
\(12\) | 0.833541 | + | 0.132020i | 0.240623 | + | 0.0381109i | ||||
\(13\) | −0.297223 | + | 1.87659i | −0.0824349 | + | 0.520473i | 0.911571 | + | 0.411143i | \(0.134870\pi\) |
−0.994006 | + | 0.109330i | \(0.965130\pi\) | |||||||
\(14\) | −3.55620 | − | 5.47836i | −0.950435 | − | 1.46415i | ||||
\(15\) | −0.392995 | − | 0.240845i | −0.101471 | − | 0.0621858i | ||||
\(16\) | 3.70020 | − | 2.68836i | 0.925051 | − | 0.672089i | ||||
\(17\) | −6.70498 | + | 3.41636i | −1.62620 | + | 0.828589i | −0.627445 | + | 0.778661i | \(0.715899\pi\) |
−0.998753 | + | 0.0499278i | \(0.984101\pi\) | |||||||
\(18\) | 5.16259 | + | 5.16259i | 1.21683 | + | 1.21683i | ||||
\(19\) | −1.89087 | + | 5.81950i | −0.433795 | + | 1.33508i | 0.460521 | + | 0.887649i | \(0.347663\pi\) |
−0.894316 | + | 0.447435i | \(0.852337\pi\) | |||||||
\(20\) | −8.90190 | + | 2.13686i | −1.99052 | + | 0.477815i | ||||
\(21\) | −0.0286466 | + | 0.544620i | −0.00625119 | + | 0.118846i | ||||
\(22\) | −9.71007 | − | 4.94753i | −2.07019 | − | 1.05482i | ||||
\(23\) | 0.763884 | + | 4.82298i | 0.159281 | + | 1.00566i | 0.929752 | + | 0.368186i | \(0.120021\pi\) |
−0.770471 | + | 0.637475i | \(0.779979\pi\) | |||||||
\(24\) | −1.06563 | −0.217521 | ||||||||
\(25\) | 4.93839 | + | 0.782488i | 0.987678 | + | 0.156498i | ||||
\(26\) | − | 4.69036i | − | 0.919856i | ||||||
\(27\) | −0.192106 | − | 1.21291i | −0.0369709 | − | 0.233425i | ||||
\(28\) | 7.24654 | + | 8.05118i | 1.36947 | + | 1.52153i | ||||
\(29\) | −1.44631 | + | 0.469935i | −0.268573 | + | 0.0872647i | −0.440208 | − | 0.897896i | \(-0.645095\pi\) |
0.171635 | + | 0.985161i | \(0.445095\pi\) | |||||||
\(30\) | 1.05122 | + | 0.435471i | 0.191926 | + | 0.0795057i | ||||
\(31\) | −1.90816 | − | 0.619999i | −0.342716 | − | 0.111355i | 0.132602 | − | 0.991169i | \(-0.457667\pi\) |
−0.475318 | + | 0.879814i | \(0.657667\pi\) | |||||||
\(32\) | −0.672788 | + | 0.672788i | −0.118933 | + | 0.118933i | ||||
\(33\) | 0.413120 | + | 0.810794i | 0.0719150 | + | 0.141141i | ||||
\(34\) | 15.0290 | − | 10.9192i | 2.57746 | − | 1.87263i | ||||
\(35\) | −1.97359 | − | 5.57718i | −0.333597 | − | 0.942716i | ||||
\(36\) | −9.79595 | − | 7.11717i | −1.63266 | − | 1.18620i | ||||
\(37\) | 0.625263 | − | 3.94776i | 0.102793 | − | 0.649007i | −0.881463 | − | 0.472254i | \(-0.843441\pi\) |
0.984255 | − | 0.176753i | \(-0.0565594\pi\) | |||||||
\(38\) | 2.36302 | − | 14.9195i | 0.383333 | − | 2.42027i | ||||
\(39\) | −0.230204 | + | 0.316849i | −0.0368622 | + | 0.0507364i | ||||
\(40\) | 10.6799 | − | 4.42337i | 1.68864 | − | 0.699396i | ||||
\(41\) | 4.69566 | + | 6.46303i | 0.733340 | + | 1.00936i | 0.998974 | + | 0.0452815i | \(0.0144185\pi\) |
−0.265635 | + | 0.964074i | \(0.585582\pi\) | |||||||
\(42\) | −0.140474 | − | 1.33898i | −0.0216755 | − | 0.206608i | ||||
\(43\) | 0.773359 | + | 0.773359i | 0.117936 | + | 0.117936i | 0.763612 | − | 0.645676i | \(-0.223424\pi\) |
−0.645676 | + | 0.763612i | \(0.723424\pi\) | |||||||
\(44\) | 17.1891 | + | 5.58509i | 2.59136 | + | 0.841984i | ||||
\(45\) | 3.45520 | + | 5.63878i | 0.515071 | + | 0.840580i | ||||
\(46\) | −3.72506 | − | 11.4646i | −0.549231 | − | 1.69036i | ||||
\(47\) | 4.03603 | − | 7.92115i | 0.588715 | − | 1.15542i | −0.383982 | − | 0.923341i | \(-0.625447\pi\) |
0.972697 | − | 0.232078i | \(-0.0745526\pi\) | |||||||
\(48\) | 0.931177 | − | 0.147484i | 0.134404 | − | 0.0212875i | ||||
\(49\) | −4.68590 | + | 5.20023i | −0.669414 | + | 0.742889i | ||||
\(50\) | −12.3432 | 0.000789122i | −1.74559 | 0.000111599i | ||||||
\(51\) | −1.55118 | −0.217208 | ||||||||
\(52\) | 1.21687 | + | 7.68303i | 0.168750 | + | 1.06545i | ||||
\(53\) | 1.12238 | − | 2.20280i | 0.154171 | − | 0.302577i | −0.800983 | − | 0.598687i | \(-0.795689\pi\) |
0.955154 | + | 0.296110i | \(0.0956894\pi\) | |||||||
\(54\) | 0.936802 | + | 2.88318i | 0.127483 | + | 0.392351i | ||||
\(55\) | −7.50592 | − | 6.41107i | −1.01210 | − | 0.864469i | ||||
\(56\) | −10.6279 | − | 8.60964i | −1.42021 | − | 1.15051i | ||||
\(57\) | −0.891884 | + | 0.891884i | −0.118133 | + | 0.118133i | ||||
\(58\) | 3.34497 | − | 1.70435i | 0.439216 | − | 0.223792i | ||||
\(59\) | 3.46254 | − | 2.51568i | 0.450784 | − | 0.327514i | −0.339121 | − | 0.940743i | \(-0.610130\pi\) |
0.789905 | + | 0.613229i | \(0.210130\pi\) | |||||||
\(60\) | −1.83493 | − | 0.440591i | −0.236889 | − | 0.0568800i | ||||
\(61\) | 3.15174 | − | 4.33800i | 0.403539 | − | 0.555424i | −0.558089 | − | 0.829781i | \(-0.688465\pi\) |
0.961628 | + | 0.274357i | \(0.0884651\pi\) | |||||||
\(62\) | 4.89198 | + | 0.774813i | 0.621282 | + | 0.0984014i | ||||
\(63\) | 3.91371 | − | 6.77576i | 0.493081 | − | 0.853665i | ||||
\(64\) | −3.99611 | + | 5.50017i | −0.499514 | + | 0.687521i | ||||
\(65\) | 0.991924 | − | 4.13108i | 0.123033 | − | 0.512397i | ||||
\(66\) | −1.32040 | − | 1.81737i | −0.162530 | − | 0.223703i | ||||
\(67\) | −2.45898 | − | 4.82603i | −0.300413 | − | 0.589593i | 0.690619 | − | 0.723219i | \(-0.257338\pi\) |
−0.991032 | + | 0.133625i | \(0.957338\pi\) | |||||||
\(68\) | −21.7854 | + | 21.7854i | −2.64186 | + | 2.64186i | ||||
\(69\) | −0.311044 | + | 0.957295i | −0.0374453 | + | 0.115245i | ||||
\(70\) | 6.96586 | + | 12.8363i | 0.832580 | + | 1.53424i | ||||
\(71\) | 1.20256 | + | 3.70109i | 0.142717 | + | 0.439239i | 0.996710 | − | 0.0810457i | \(-0.0258260\pi\) |
−0.853993 | + | 0.520284i | \(0.825826\pi\) | |||||||
\(72\) | 13.6229 | + | 6.94121i | 1.60547 | + | 0.818029i | ||||
\(73\) | 0.784747 | − | 0.124292i | 0.0918476 | − | 0.0145472i | −0.110341 | − | 0.993894i | \(-0.535194\pi\) |
0.202189 | + | 0.979347i | \(0.435194\pi\) | |||||||
\(74\) | 9.86703i | 1.14702i | ||||||||
\(75\) | 0.833781 | + | 0.605859i | 0.0962767 | + | 0.0699585i | ||||
\(76\) | 25.0520i | 2.87366i | ||||||||
\(77\) | −2.43054 | + | 11.4241i | −0.276986 | + | 1.30189i | ||||
\(78\) | 0.438932 | − | 0.861453i | 0.0496993 | − | 0.0975404i | ||||
\(79\) | −10.4243 | + | 3.38705i | −1.17282 | + | 0.381073i | −0.829696 | − | 0.558216i | \(-0.811486\pi\) |
−0.343127 | + | 0.939289i | \(0.611486\pi\) | |||||||
\(80\) | −8.72022 | + | 5.34337i | −0.974950 | + | 0.597407i | ||||
\(81\) | −2.66354 | + | 8.19753i | −0.295949 | + | 0.910837i | ||||
\(82\) | −13.9450 | − | 13.9450i | −1.53997 | − | 1.53997i | ||||
\(83\) | −0.370328 | − | 0.726810i | −0.0406488 | − | 0.0797778i | 0.869789 | − | 0.493424i | \(-0.164255\pi\) |
−0.910438 | + | 0.413646i | \(0.864255\pi\) | |||||||
\(84\) | 0.577488 | + | 2.15686i | 0.0630091 | + | 0.235333i | ||||
\(85\) | 15.5462 | − | 6.43885i | 1.68622 | − | 0.698391i | ||||
\(86\) | −2.18429 | − | 1.58698i | −0.235538 | − | 0.171128i | ||||
\(87\) | −0.309613 | − | 0.0490379i | −0.0331940 | − | 0.00525742i | ||||
\(88\) | −22.5407 | − | 3.57009i | −2.40284 | − | 0.380573i | ||||
\(89\) | 4.65732 | + | 3.38374i | 0.493675 | + | 0.358676i | 0.806596 | − | 0.591103i | \(-0.201308\pi\) |
−0.312921 | + | 0.949779i | \(0.601308\pi\) | |||||||
\(90\) | −10.6022 | − | 12.4144i | −1.11757 | − | 1.30859i | ||||
\(91\) | −4.85585 | + | 1.30013i | −0.509031 | + | 0.136290i | ||||
\(92\) | 9.07621 | + | 17.8131i | 0.946261 | + | 1.85714i | ||||
\(93\) | −0.292441 | − | 0.292441i | −0.0303247 | − | 0.0303247i | ||||
\(94\) | −6.78182 | + | 20.8723i | −0.699491 | + | 2.15281i | ||||
\(95\) | 5.23645 | − | 12.6408i | 0.537249 | − | 1.29692i | ||||
\(96\) | −0.186528 | + | 0.0606066i | −0.0190374 | + | 0.00618564i | ||||
\(97\) | 1.37761 | − | 2.70371i | 0.139875 | − | 0.274520i | −0.810433 | − | 0.585831i | \(-0.800768\pi\) |
0.950308 | + | 0.311311i | \(0.100768\pi\) | |||||||
\(98\) | 9.41712 | − | 14.4890i | 0.951273 | − | 1.46361i | ||||
\(99\) | − | 13.0560i | − | 1.31218i | ||||||
\(100\) | 20.2189 | − | 3.20103i | 2.02189 | − | 0.320103i | ||||
\(101\) | − | 9.05231i | − | 0.900738i | −0.892842 | − | 0.450369i | \(-0.851292\pi\) | ||
0.892842 | − | 0.450369i | \(-0.148708\pi\) | |||||||
\(102\) | 3.78214 | − | 0.599032i | 0.374488 | − | 0.0593130i | ||||
\(103\) | 0.197172 | + | 0.100464i | 0.0194279 | + | 0.00989903i | 0.463677 | − | 0.886004i | \(-0.346530\pi\) |
−0.444250 | + | 0.895903i | \(0.646530\pi\) | |||||||
\(104\) | −3.03525 | − | 9.34154i | −0.297631 | − | 0.916013i | ||||
\(105\) | 0.159445 | − | 1.20902i | 0.0155602 | − | 0.117988i | ||||
\(106\) | −1.88596 | + | 5.80438i | −0.183180 | + | 0.563771i | ||||
\(107\) | −5.28214 | + | 5.28214i | −0.510643 | + | 0.510643i | −0.914724 | − | 0.404080i | \(-0.867592\pi\) |
0.404080 | + | 0.914724i | \(0.367592\pi\) | |||||||
\(108\) | −2.28254 | − | 4.47974i | −0.219638 | − | 0.431063i | ||||
\(109\) | −4.53859 | − | 6.24684i | −0.434719 | − | 0.598339i | 0.534310 | − | 0.845289i | \(-0.320572\pi\) |
−0.969028 | + | 0.246950i | \(0.920572\pi\) | |||||||
\(110\) | 20.7770 | + | 12.7331i | 1.98101 | + | 1.21405i | ||||
\(111\) | 0.484277 | − | 0.666550i | 0.0459655 | − | 0.0632661i | ||||
\(112\) | 10.4785 | + | 6.05244i | 0.990127 | + | 0.571902i | ||||
\(113\) | 7.97103 | + | 1.26249i | 0.749851 | + | 0.118765i | 0.519651 | − | 0.854379i | \(-0.326062\pi\) |
0.230200 | + | 0.973143i | \(0.426062\pi\) | |||||||
\(114\) | 1.83020 | − | 2.51905i | 0.171414 | − | 0.235931i | ||||
\(115\) | −0.856342 | − | 10.8853i | −0.0798543 | − | 1.01506i | ||||
\(116\) | −5.03704 | + | 3.65963i | −0.467678 | + | 0.339788i | ||||
\(117\) | 5.00676 | − | 2.55107i | 0.462876 | − | 0.235847i | ||||
\(118\) | −7.47099 | + | 7.47099i | −0.687760 | + | 0.687760i | ||||
\(119\) | −15.4704 | − | 12.5326i | −1.41817 | − | 1.14886i | ||||
\(120\) | 2.37547 | + | 0.187030i | 0.216850 | + | 0.0170734i | ||||
\(121\) | 2.62298 | + | 8.07270i | 0.238453 | + | 0.733882i | ||||
\(122\) | −6.00945 | + | 11.7942i | −0.544070 | + | 1.06780i | ||||
\(123\) | 0.257606 | + | 1.62646i | 0.0232275 | + | 0.146653i | ||||
\(124\) | −8.21431 | −0.737667 | ||||||||
\(125\) | −10.8712 | − | 2.61104i | −0.972348 | − | 0.233539i | ||||
\(126\) | −6.92590 | + | 18.0323i | −0.617009 | + | 1.60645i | ||||
\(127\) | 11.2355 | − | 1.77953i | 0.996988 | − | 0.157907i | 0.363446 | − | 0.931615i | \(-0.381600\pi\) |
0.633542 | + | 0.773708i | \(0.281600\pi\) | |||||||
\(128\) | 8.48333 | − | 16.6495i | 0.749827 | − | 1.47162i | ||||
\(129\) | 0.0696663 | + | 0.214411i | 0.00613378 | + | 0.0188778i | ||||
\(130\) | −0.823211 | + | 10.4556i | −0.0722004 | + | 0.917018i | ||||
\(131\) | 4.11189 | + | 1.33603i | 0.359257 | + | 0.116730i | 0.483084 | − | 0.875574i | \(-0.339517\pi\) |
−0.123827 | + | 0.992304i | \(0.539517\pi\) | |||||||
\(132\) | 2.63437 | + | 2.63437i | 0.229293 | + | 0.229293i | ||||
\(133\) | −16.1009 | + | 1.68917i | −1.39613 | + | 0.146470i | ||||
\(134\) | 7.85930 | + | 10.8174i | 0.678940 | + | 0.934481i | ||||
\(135\) | 0.215358 | + | 2.73750i | 0.0185351 | + | 0.235607i | ||||
\(136\) | 22.8664 | − | 31.4729i | 1.96078 | − | 2.69878i | ||||
\(137\) | −2.66715 | + | 16.8397i | −0.227870 | + | 1.43871i | 0.562861 | + | 0.826551i | \(0.309701\pi\) |
−0.790731 | + | 0.612163i | \(0.790299\pi\) | |||||||
\(138\) | 0.388712 | − | 2.45423i | 0.0330894 | − | 0.208918i | ||||
\(139\) | 3.58136 | + | 2.60201i | 0.303767 | + | 0.220700i | 0.729217 | − | 0.684282i | \(-0.239884\pi\) |
−0.425450 | + | 0.904982i | \(0.639884\pi\) | |||||||
\(140\) | −14.7407 | − | 19.2193i | −1.24582 | − | 1.62433i | ||||
\(141\) | 1.48255 | − | 1.07714i | 0.124853 | − | 0.0907113i | ||||
\(142\) | −4.36140 | − | 8.55974i | −0.366001 | − | 0.718317i | ||||
\(143\) | −5.93090 | + | 5.93090i | −0.495966 | + | 0.495966i | ||||
\(144\) | −12.8647 | − | 4.18000i | −1.07206 | − | 0.348333i | ||||
\(145\) | 3.30655 | − | 0.793721i | 0.274594 | − | 0.0659149i | ||||
\(146\) | −1.86540 | + | 0.606105i | −0.154382 | + | 0.0501616i | ||||
\(147\) | −1.34728 | + | 0.516582i | −0.111122 | + | 0.0426070i | ||||
\(148\) | −2.55991 | − | 16.1627i | −0.210424 | − | 1.32856i | ||||
\(149\) | 5.31631i | 0.435529i | 0.976001 | + | 0.217764i | \(0.0698764\pi\) | ||||
−0.976001 | + | 0.217764i | \(0.930124\pi\) | |||||||
\(150\) | −2.26693 | − | 1.15524i | −0.185094 | − | 0.0943249i | ||||
\(151\) | 12.5100 | 1.01805 | 0.509023 | − | 0.860753i | \(-0.330007\pi\) | ||||
0.509023 | + | 0.860753i | \(0.330007\pi\) | |||||||
\(152\) | −4.94850 | − | 31.2436i | −0.401376 | − | 2.53419i | ||||
\(153\) | 19.8301 | + | 10.1039i | 1.60316 | + | 0.816853i | ||||
\(154\) | 1.51450 | − | 28.7932i | 0.122042 | − | 2.32023i | ||||
\(155\) | 4.14479 | + | 1.71698i | 0.332918 | + | 0.137912i | ||||
\(156\) | −0.495495 | + | 1.52498i | −0.0396714 | + | 0.122096i | ||||
\(157\) | 4.08176 | + | 4.08176i | 0.325760 | + | 0.325760i | 0.850972 | − | 0.525212i | \(-0.176014\pi\) |
−0.525212 | + | 0.850972i | \(0.676014\pi\) | |||||||
\(158\) | 24.1089 | − | 12.2841i | 1.91800 | − | 0.977268i | ||||
\(159\) | 0.412283 | − | 0.299541i | 0.0326962 | − | 0.0237552i | ||||
\(160\) | 1.61784 | − | 1.38168i | 0.127902 | − | 0.109231i | ||||
\(161\) | −10.8365 | + | 7.03437i | −0.854037 | + | 0.554386i | ||||
\(162\) | 3.32863 | − | 21.0161i | 0.261522 | − | 1.65118i | ||||
\(163\) | −16.9850 | − | 2.69015i | −1.33036 | − | 0.210709i | −0.549544 | − | 0.835465i | \(-0.685199\pi\) |
−0.780820 | + | 0.624756i | \(0.785199\pi\) | |||||||
\(164\) | 26.4605 | + | 19.2247i | 2.06622 | + | 1.50120i | ||||
\(165\) | −0.778611 | − | 1.87990i | −0.0606148 | − | 0.146350i | ||||
\(166\) | 1.18363 | + | 1.62912i | 0.0918673 | + | 0.126445i | ||||
\(167\) | 14.3079 | − | 7.29025i | 1.10718 | − | 0.564136i | 0.197858 | − | 0.980231i | \(-0.436601\pi\) |
0.909321 | + | 0.416094i | \(0.136601\pi\) | |||||||
\(168\) | −1.14626 | − | 2.57586i | −0.0884357 | − | 0.198732i | ||||
\(169\) | 8.93048 | + | 2.90169i | 0.686960 | + | 0.223207i | ||||
\(170\) | −35.4187 | + | 21.7030i | −2.71649 | + | 1.66455i | ||||
\(171\) | 17.2112 | − | 5.59226i | 1.31617 | − | 0.427651i | ||||
\(172\) | 3.98969 | + | 2.03285i | 0.304211 | + | 0.155003i | ||||
\(173\) | −10.5652 | + | 1.67336i | −0.803258 | + | 0.127223i | −0.544546 | − | 0.838731i | \(-0.683298\pi\) |
−0.258712 | + | 0.965955i | \(0.583298\pi\) | |||||||
\(174\) | 0.773848 | 0.0586653 | ||||||||
\(175\) | 3.42060 | + | 12.7789i | 0.258573 | + | 0.965992i | ||||
\(176\) | 20.1908 | 1.52194 | ||||||||
\(177\) | 0.871367 | − | 0.138011i | 0.0654959 | − | 0.0103735i | ||||
\(178\) | −12.6624 | − | 6.45181i | −0.949086 | − | 0.483583i | ||||
\(179\) | 2.00919 | − | 0.652825i | 0.150174 | − | 0.0487944i | −0.232965 | − | 0.972485i | \(-0.574843\pi\) |
0.383139 | + | 0.923691i | \(0.374843\pi\) | |||||||
\(180\) | 20.5877 | + | 17.5847i | 1.53452 | + | 1.31068i | ||||
\(181\) | −21.8924 | − | 7.11328i | −1.62725 | − | 0.528726i | −0.653614 | − | 0.756828i | \(-0.726748\pi\) |
−0.973637 | + | 0.228102i | \(0.926748\pi\) | |||||||
\(182\) | 11.3376 | − | 5.04525i | 0.840401 | − | 0.373979i | ||||
\(183\) | 0.984821 | − | 0.501791i | 0.0728001 | − | 0.0370935i | ||||
\(184\) | −14.8380 | − | 20.4228i | −1.09387 | − | 1.50559i | ||||
\(185\) | −2.08669 | + | 8.69048i | −0.153417 | + | 0.638936i | ||||
\(186\) | 0.825974 | + | 0.600106i | 0.0605634 | + | 0.0440019i | ||||
\(187\) | −32.8112 | − | 5.19678i | −2.39939 | − | 0.380026i | ||||
\(188\) | 5.69381 | − | 35.9493i | 0.415264 | − | 2.62187i | ||||
\(189\) | 2.72523 | − | 1.76905i | 0.198231 | − | 0.128679i | ||||
\(190\) | −7.88612 | + | 32.8434i | −0.572119 | + | 2.38271i | ||||
\(191\) | 10.5993 | − | 7.70086i | 0.766940 | − | 0.557214i | −0.134091 | − | 0.990969i | \(-0.542812\pi\) |
0.901031 | + | 0.433755i | \(0.142812\pi\) | |||||||
\(192\) | −1.24866 | + | 0.636224i | −0.0901142 | + | 0.0459155i | ||||
\(193\) | 7.06153 | + | 7.06153i | 0.508300 | + | 0.508300i | 0.914004 | − | 0.405704i | \(-0.132974\pi\) |
−0.405704 | + | 0.914004i | \(0.632974\pi\) | |||||||
\(194\) | −2.31482 | + | 7.12429i | −0.166195 | + | 0.511494i | ||||
\(195\) | 0.568775 | − | 0.665906i | 0.0407308 | − | 0.0476866i | ||||
\(196\) | −11.6667 | + | 26.1768i | −0.833332 | + | 1.86977i | ||||
\(197\) | −0.315148 | − | 0.160576i | −0.0224533 | − | 0.0114405i | 0.442728 | − | 0.896656i | \(-0.354011\pi\) |
−0.465181 | + | 0.885216i | \(0.654011\pi\) | |||||||
\(198\) | 5.04197 | + | 31.8337i | 0.358317 | + | 2.26232i | ||||
\(199\) | −9.51572 | −0.674552 | −0.337276 | − | 0.941406i | \(-0.609506\pi\) | ||||
−0.337276 | + | 0.941406i | \(0.609506\pi\) | |||||||
\(200\) | −24.5837 | + | 7.98599i | −1.73833 | + | 0.564695i | ||||
\(201\) | − | 1.11649i | − | 0.0787509i | ||||||
\(202\) | 3.49581 | + | 22.0717i | 0.245964 | + | 1.55296i | ||||
\(203\) | −2.69168 | − | 2.99056i | −0.188919 | − | 0.209896i | ||||
\(204\) | −6.03991 | + | 1.96249i | −0.422878 | + | 0.137401i | ||||
\(205\) | −9.33310 | − | 15.2313i | −0.651852 | − | 1.06380i | ||||
\(206\) | −0.519550 | − | 0.168812i | −0.0361987 | − | 0.0117617i | ||||
\(207\) | 10.2119 | − | 10.2119i | 0.709776 | − | 0.709776i | ||||
\(208\) | 3.94516 | + | 7.74282i | 0.273548 | + | 0.536868i | ||||
\(209\) | −21.8535 | + | 15.8775i | −1.51164 | + | 1.09827i | ||||
\(210\) | 0.0781343 | + | 3.00946i | 0.00539178 | + | 0.207672i | ||||
\(211\) | 12.8006 | + | 9.30020i | 0.881232 | + | 0.640252i | 0.933577 | − | 0.358377i | \(-0.116670\pi\) |
−0.0523453 | + | 0.998629i | \(0.516670\pi\) | |||||||
\(212\) | 1.58339 | − | 9.99714i | 0.108748 | − | 0.686607i | ||||
\(213\) | −0.125487 | + | 0.792296i | −0.00859826 | + | 0.0542873i | ||||
\(214\) | 10.8393 | − | 14.9190i | 0.740956 | − | 1.01984i | ||||
\(215\) | −1.58821 | − | 1.85968i | −0.108315 | − | 0.126829i | ||||
\(216\) | 3.73155 | + | 5.13604i | 0.253900 | + | 0.349464i | ||||
\(217\) | −0.553863 | − | 5.27935i | −0.0375987 | − | 0.358386i | ||||
\(218\) | 13.4786 | + | 13.4786i | 0.912884 | + | 0.912884i | ||||
\(219\) | 0.155762 | + | 0.0506100i | 0.0105254 | + | 0.00341991i | ||||
\(220\) | −37.3373 | − | 15.4670i | −2.51728 | − | 1.04278i | ||||
\(221\) | −4.41824 | − | 13.5979i | −0.297203 | − | 0.914697i | ||||
\(222\) | −0.923374 | + | 1.81222i | −0.0619728 | + | 0.121629i | ||||
\(223\) | 14.0460 | − | 2.22468i | 0.940593 | − | 0.148975i | 0.332734 | − | 0.943021i | \(-0.392029\pi\) |
0.607859 | + | 0.794045i | \(0.292029\pi\) | |||||||
\(224\) | −2.34997 | − | 0.902584i | −0.157014 | − | 0.0603064i | ||||
\(225\) | −6.71256 | − | 13.1762i | −0.447504 | − | 0.878415i | ||||
\(226\) | −19.9228 | −1.32525 | ||||||||
\(227\) | −0.806723 | − | 5.09345i | −0.0535441 | − | 0.338064i | −0.999889 | − | 0.0149055i | \(-0.995255\pi\) |
0.946345 | − | 0.323159i | \(-0.104745\pi\) | |||||||
\(228\) | −2.34441 | + | 4.60116i | −0.155262 | + | 0.304719i | ||||
\(229\) | 1.33232 | + | 4.10046i | 0.0880421 | + | 0.270966i | 0.985378 | − | 0.170383i | \(-0.0545003\pi\) |
−0.897336 | + | 0.441348i | \(0.854500\pi\) | |||||||
\(230\) | 6.29164 | + | 26.2103i | 0.414858 | + | 1.72825i | ||||
\(231\) | −1.51549 | + | 1.87074i | −0.0997119 | + | 0.123086i | ||||
\(232\) | 5.55907 | − | 5.55907i | 0.364971 | − | 0.364971i | ||||
\(233\) | 10.7294 | − | 5.46689i | 0.702904 | − | 0.358148i | −0.0657289 | − | 0.997838i | \(-0.520937\pi\) |
0.768633 | + | 0.639690i | \(0.220937\pi\) | |||||||
\(234\) | −11.2225 | + | 8.15363i | −0.733639 | + | 0.533020i | ||||
\(235\) | −10.3872 | + | 16.9492i | −0.677589 | + | 1.10565i | ||||
\(236\) | 10.2995 | − | 14.1761i | 0.670443 | − | 0.922786i | ||||
\(237\) | −2.23154 | − | 0.353440i | −0.144954 | − | 0.0229584i | ||||
\(238\) | 42.5603 | + | 24.5830i | 2.75878 | + | 1.59348i | ||||
\(239\) | −7.68632 | + | 10.5793i | −0.497186 | + | 0.684318i | −0.981693 | − | 0.190469i | \(-0.938999\pi\) |
0.484507 | + | 0.874788i | \(0.338999\pi\) | |||||||
\(240\) | −2.10164 | + | 0.165335i | −0.135660 | + | 0.0106723i | ||||
\(241\) | 14.5206 | + | 19.9860i | 0.935357 | + | 1.28741i | 0.957733 | + | 0.287659i | \(0.0928769\pi\) |
−0.0223759 | + | 0.999750i | \(0.507123\pi\) | |||||||
\(242\) | −9.51295 | − | 18.6702i | −0.611516 | − | 1.20017i | ||||
\(243\) | −3.86138 | + | 3.86138i | −0.247708 | + | 0.247708i | ||||
\(244\) | 6.78386 | − | 20.8786i | 0.434292 | − | 1.33661i | ||||
\(245\) | 11.3584 | − | 10.7698i | 0.725659 | − | 0.688054i | ||||
\(246\) | −1.25621 | − | 3.86621i | −0.0800929 | − | 0.246500i | ||||
\(247\) | −10.3588 | − | 5.27808i | −0.659116 | − | 0.335836i | ||||
\(248\) | 10.2445 | − | 1.62257i | 0.650526 | − | 0.103033i | ||||
\(249\) | − | 0.168145i | − | 0.0106558i | ||||||
\(250\) | 27.5148 | + | 2.16812i | 1.74019 | + | 0.137124i | ||||
\(251\) | − | 24.7925i | − | 1.56489i | −0.622722 | − | 0.782443i | \(-0.713973\pi\) | ||
0.622722 | − | 0.782443i | \(-0.286027\pi\) | |||||||
\(252\) | 6.66663 | − | 31.3346i | 0.419959 | − | 1.97390i | ||||
\(253\) | −9.78649 | + | 19.2071i | −0.615272 | + | 1.20754i | ||||
\(254\) | −26.7076 | + | 8.67782i | −1.67578 | + | 0.544495i | ||||
\(255\) | 3.45784 | + | 0.272249i | 0.216538 | + | 0.0170489i | ||||
\(256\) | −10.0529 | + | 30.9398i | −0.628309 | + | 1.93374i | ||||
\(257\) | 13.3266 | + | 13.3266i | 0.831290 | + | 0.831290i | 0.987693 | − | 0.156403i | \(-0.0499899\pi\) |
−0.156403 | + | 0.987693i | \(0.549990\pi\) | |||||||
\(258\) | −0.252664 | − | 0.495881i | −0.0157302 | − | 0.0308722i | ||||
\(259\) | 10.2152 | − | 2.73506i | 0.634739 | − | 0.169948i | ||||
\(260\) | −1.36416 | − | 17.3404i | −0.0846015 | − | 1.07540i | ||||
\(261\) | 3.63864 | + | 2.64363i | 0.225226 | + | 0.163636i | ||||
\(262\) | −10.5417 | − | 1.66964i | −0.651269 | − | 0.103151i | ||||
\(263\) | −18.9224 | − | 2.99702i | −1.16681 | − | 0.184804i | −0.457175 | − | 0.889377i | \(-0.651139\pi\) |
−0.709632 | + | 0.704572i | \(0.751139\pi\) | |||||||
\(264\) | −3.80583 | − | 2.76510i | −0.234233 | − | 0.170180i | ||||
\(265\) | −2.88859 | + | 4.71341i | −0.177445 | + | 0.289543i | ||||
\(266\) | 38.6056 | − | 10.3364i | 2.36706 | − | 0.633768i | ||||
\(267\) | 0.538728 | + | 1.05731i | 0.0329696 | + | 0.0647065i | ||||
\(268\) | −15.6804 | − | 15.6804i | −0.957832 | − | 0.957832i | ||||
\(269\) | 8.47322 | − | 26.0779i | 0.516621 | − | 1.59000i | −0.263692 | − | 0.964607i | \(-0.584940\pi\) |
0.780313 | − | 0.625389i | \(-0.215060\pi\) | |||||||
\(270\) | −1.58226 | − | 6.59152i | −0.0962933 | − | 0.401147i | ||||
\(271\) | 10.0270 | − | 3.25796i | 0.609096 | − | 0.197907i | 0.0118027 | − | 0.999930i | \(-0.496243\pi\) |
0.597293 | + | 0.802023i | \(0.296243\pi\) | |||||||
\(272\) | −15.6254 | + | 30.6666i | −0.947430 | + | 1.85944i | ||||
\(273\) | −1.01352 | − | 0.215632i | −0.0613407 | − | 0.0130506i | ||||
\(274\) | − | 42.0893i | − | 2.54271i | ||||||
\(275\) | 15.6067 | + | 15.6087i | 0.941122 | + | 0.941243i | ||||
\(276\) | 4.12100i | 0.248055i | ||||||||
\(277\) | −11.5613 | + | 1.83113i | −0.694650 | + | 0.110022i | −0.493768 | − | 0.869594i | \(-0.664381\pi\) |
−0.200882 | + | 0.979615i | \(0.564381\pi\) | |||||||
\(278\) | −9.73705 | − | 4.96127i | −0.583989 | − | 0.297557i | ||||
\(279\) | 1.83365 | + | 5.64340i | 0.109778 | + | 0.337862i | ||||
\(280\) | 22.1802 | + | 21.0577i | 1.32552 | + | 1.25844i | ||||
\(281\) | 5.89743 | − | 18.1504i | 0.351811 | − | 1.08276i | −0.606024 | − | 0.795446i | \(-0.707236\pi\) |
0.957835 | − | 0.287318i | \(-0.0927636\pi\) | |||||||
\(282\) | −3.19885 | + | 3.19885i | −0.190488 | + | 0.190488i | ||||
\(283\) | −4.75665 | − | 9.33546i | −0.282754 | − | 0.554936i | 0.705325 | − | 0.708884i | \(-0.250801\pi\) |
−0.988079 | + | 0.153948i | \(0.950801\pi\) | |||||||
\(284\) | 9.36493 | + | 12.8897i | 0.555707 | + | 0.764865i | ||||
\(285\) | 2.14470 | − | 1.83163i | 0.127041 | − | 0.108496i | ||||
\(286\) | 12.1705 | − | 16.7513i | 0.719660 | − | 0.990527i | ||||
\(287\) | −10.5716 | + | 18.3025i | −0.624022 | + | 1.08036i | ||||
\(288\) | 2.77933 | + | 0.440202i | 0.163773 | + | 0.0259392i | ||||
\(289\) | 23.2929 | − | 32.0600i | 1.37017 | − | 1.88588i | ||||
\(290\) | −7.75564 | + | 3.21220i | −0.455427 | + | 0.188627i | ||||
\(291\) | 0.506036 | − | 0.367657i | 0.0296644 | − | 0.0215524i | ||||
\(292\) | 2.89836 | − | 1.47679i | 0.169614 | − | 0.0864226i | ||||
\(293\) | 13.9898 | − | 13.9898i | 0.817291 | − | 0.817291i | −0.168423 | − | 0.985715i | \(-0.553868\pi\) |
0.985715 | + | 0.168423i | \(0.0538676\pi\) | |||||||
\(294\) | 3.08550 | − | 1.77984i | 0.179950 | − | 0.103802i | ||||
\(295\) | −8.16011 | + | 5.00016i | −0.475100 | + | 0.291121i | ||||
\(296\) | 6.38520 | + | 19.6516i | 0.371132 | + | 1.14223i | ||||
\(297\) | 2.46117 | − | 4.83031i | 0.142811 | − | 0.280283i | ||||
\(298\) | −2.05305 | − | 12.9624i | −0.118930 | − | 0.750893i | ||||
\(299\) | −9.27781 | −0.536549 | ||||||||
\(300\) | 4.01305 | + | 1.30420i | 0.231693 | + | 0.0752982i | ||||
\(301\) | −1.03750 | + | 2.70125i | −0.0598008 | + | 0.155698i | ||||
\(302\) | −30.5022 | + | 4.83108i | −1.75521 | + | 0.277997i | ||||
\(303\) | 0.847131 | − | 1.66259i | 0.0486664 | − | 0.0955132i | ||||
\(304\) | 8.64827 | + | 26.6167i | 0.496013 | + | 1.52657i | ||||
\(305\) | −7.78714 | + | 9.11697i | −0.445890 | + | 0.522036i | ||||
\(306\) | −52.2523 | − | 16.9778i | −2.98707 | − | 0.970557i | ||||
\(307\) | 21.2978 | + | 21.2978i | 1.21553 | + | 1.21553i | 0.969182 | + | 0.246347i | \(0.0792303\pi\) |
0.246347 | + | 0.969182i | \(0.420770\pi\) | |||||||
\(308\) | 4.98933 | + | 47.5576i | 0.284293 | + | 2.70985i | ||||
\(309\) | 0.0268119 | + | 0.0369034i | 0.00152528 | + | 0.00209936i | ||||
\(310\) | −10.7691 | − | 2.58579i | −0.611641 | − | 0.146863i | ||||
\(311\) | −15.1640 | + | 20.8715i | −0.859873 | + | 1.18351i | 0.121726 | + | 0.992564i | \(0.461157\pi\) |
−0.981600 | + | 0.190951i | \(0.938843\pi\) | |||||||
\(312\) | 0.316730 | − | 1.99975i | 0.0179313 | − | 0.113214i | ||||
\(313\) | −2.56622 | + | 16.2025i | −0.145052 | + | 0.915820i | 0.802601 | + | 0.596516i | \(0.203449\pi\) |
−0.947653 | + | 0.319303i | \(0.896551\pi\) | |||||||
\(314\) | −11.5286 | − | 8.37602i | −0.650596 | − | 0.472686i | ||||
\(315\) | −9.91355 | + | 14.4174i | −0.558565 | + | 0.812329i | ||||
\(316\) | −36.3044 | + | 26.3767i | −2.04228 | + | 1.48381i | ||||
\(317\) | 12.5927 | + | 24.7147i | 0.707279 | + | 1.38811i | 0.912368 | + | 0.409370i | \(0.134252\pi\) |
−0.205089 | + | 0.978743i | \(0.565748\pi\) | |||||||
\(318\) | −0.889568 | + | 0.889568i | −0.0498845 | + | 0.0498845i | ||||
\(319\) | −6.38479 | − | 2.07454i | −0.357480 | − | 0.116152i | ||||
\(320\) | 9.87334 | − | 11.5595i | 0.551937 | − | 0.646193i | ||||
\(321\) | −1.46445 | + | 0.475830i | −0.0817378 | + | 0.0265582i | ||||
\(322\) | 23.7055 | − | 21.3363i | 1.32105 | − | 1.18903i | ||||
\(323\) | −7.20325 | − | 45.4795i | −0.400800 | − | 2.53055i | ||||
\(324\) | 35.2890i | 1.96050i | ||||||||
\(325\) | −2.93622 | + | 9.03478i | −0.162872 | + | 0.501159i | ||||
\(326\) | 42.4523 | 2.35121 | ||||||||
\(327\) | −0.248989 | − | 1.57205i | −0.0137691 | − | 0.0869347i | ||||
\(328\) | −36.7977 | − | 18.7494i | −2.03182 | − | 1.03526i | ||||
\(329\) | 23.4886 | + | 1.23548i | 1.29497 | + | 0.0681142i | ||||
\(330\) | 2.62442 | + | 4.28297i | 0.144470 | + | 0.235770i | ||||
\(331\) | 1.21725 | − | 3.74631i | 0.0669062 | − | 0.205916i | −0.912014 | − | 0.410159i | \(-0.865473\pi\) |
0.978920 | + | 0.204243i | \(0.0654732\pi\) | |||||||
\(332\) | −2.36150 | − | 2.36150i | −0.129604 | − | 0.129604i | ||||
\(333\) | −10.5326 | + | 5.36665i | −0.577185 | + | 0.294091i | ||||
\(334\) | −32.0708 | + | 23.3008i | −1.75483 | + | 1.27496i | ||||
\(335\) | 4.63447 | + | 11.1896i | 0.253208 | + | 0.611354i | ||||
\(336\) | 1.35813 | + | 2.09222i | 0.0740923 | + | 0.114140i | ||||
\(337\) | −3.60639 | + | 22.7699i | −0.196453 | + | 1.24035i | 0.670480 | + | 0.741928i | \(0.266088\pi\) |
−0.866933 | + | 0.498425i | \(0.833912\pi\) | |||||||
\(338\) | −22.8952 | − | 3.62624i | −1.24533 | − | 0.197242i | ||||
\(339\) | 1.34585 | + | 0.977817i | 0.0730965 | + | 0.0531077i | ||||
\(340\) | 52.3868 | − | 44.7397i | 2.84107 | − | 2.42635i | ||||
\(341\) | −5.20610 | − | 7.16558i | −0.281926 | − | 0.388038i | ||||
\(342\) | −39.8054 | + | 20.2819i | −2.15243 | + | 1.09672i | ||||
\(343\) | −17.6105 | − | 5.73316i | −0.950879 | − | 0.309562i | ||||
\(344\) | −5.37730 | − | 1.74719i | −0.289925 | − | 0.0942022i | ||||
\(345\) | 0.861386 | − | 2.07938i | 0.0463755 | − | 0.111950i | ||||
\(346\) | 25.1143 | − | 8.16012i | 1.35015 | − | 0.438691i | ||||
\(347\) | 21.0525 | + | 10.7268i | 1.13016 | + | 0.575844i | 0.916089 | − | 0.400974i | \(-0.131328\pi\) |
0.214069 | + | 0.976819i | \(0.431328\pi\) | |||||||
\(348\) | −1.26760 | + | 0.200768i | −0.0679505 | + | 0.0107623i | ||||
\(349\) | −9.96173 | −0.533239 | −0.266620 | − | 0.963802i | \(-0.585907\pi\) | ||||
−0.266620 | + | 0.963802i | \(0.585907\pi\) | |||||||
\(350\) | −13.2752 | − | 29.8370i | −0.709587 | − | 1.59485i | ||||
\(351\) | 2.33324 | 0.124539 | ||||||||
\(352\) | −4.14857 | + | 0.657069i | −0.221120 | + | 0.0350219i | ||||
\(353\) | −17.1476 | − | 8.73712i | −0.912672 | − | 0.465030i | −0.0664077 | − | 0.997793i | \(-0.521154\pi\) |
−0.846265 | + | 0.532763i | \(0.821154\pi\) | |||||||
\(354\) | −2.07130 | + | 0.673007i | −0.110089 | + | 0.0357699i | ||||
\(355\) | −2.03112 | − | 8.46142i | −0.107801 | − | 0.449085i | ||||
\(356\) | 22.4154 | + | 7.28322i | 1.18802 | + | 0.386010i | ||||
\(357\) | −1.66854 | − | 3.74953i | −0.0883087 | − | 0.198446i | ||||
\(358\) | −4.64677 | + | 2.36765i | −0.245590 | + | 0.125134i | ||||
\(359\) | 1.39337 | + | 1.91781i | 0.0735394 | + | 0.101218i | 0.844202 | − | 0.536025i | \(-0.180075\pi\) |
−0.770663 | + | 0.637243i | \(0.780075\pi\) | |||||||
\(360\) | −29.1495 | − | 17.8641i | −1.53631 | − | 0.941520i | ||||
\(361\) | −14.9198 | − | 10.8399i | −0.785255 | − | 0.570521i | ||||
\(362\) | 56.1260 | + | 8.88948i | 2.94992 | + | 0.467221i | ||||
\(363\) | −0.273709 | + | 1.72813i | −0.0143660 | + | 0.0907034i | ||||
\(364\) | −17.2626 | + | 11.2058i | −0.904808 | + | 0.587344i | ||||
\(365\) | −1.77115 | + | 0.139335i | −0.0927061 | + | 0.00729315i | ||||
\(366\) | −2.20745 | + | 1.60380i | −0.115385 | + | 0.0838322i | ||||
\(367\) | −0.381987 | + | 0.194632i | −0.0199396 | + | 0.0101597i | −0.463932 | − | 0.885871i | \(-0.653562\pi\) |
0.443992 | + | 0.896031i | \(0.353562\pi\) | |||||||
\(368\) | 15.7924 | + | 15.7924i | 0.823236 | + | 0.823236i | ||||
\(369\) | 7.30108 | − | 22.4704i | 0.380079 | − | 1.16976i | ||||
\(370\) | 1.73177 | − | 21.9953i | 0.0900306 | − | 1.14348i | ||||
\(371\) | 6.53194 | + | 0.343575i | 0.339122 | + | 0.0178375i | ||||
\(372\) | −1.50868 | − | 0.768709i | −0.0782213 | − | 0.0398557i | ||||
\(373\) | 3.82756 | + | 24.1662i | 0.198183 | + | 1.25128i | 0.863358 | + | 0.504592i | \(0.168357\pi\) |
−0.665174 | + | 0.746688i | \(0.731643\pi\) | |||||||
\(374\) | 82.0084 | 4.24055 | ||||||||
\(375\) | −1.75230 | − | 1.49690i | −0.0904886 | − | 0.0772996i | ||||
\(376\) | 45.9589i | 2.37015i | ||||||||
\(377\) | −0.451999 | − | 2.85381i | −0.0232792 | − | 0.146979i | ||||
\(378\) | −5.96160 | + | 5.36578i | −0.306631 | + | 0.275986i | ||||
\(379\) | 16.6292 | − | 5.40314i | 0.854182 | − | 0.277541i | 0.150986 | − | 0.988536i | \(-0.451755\pi\) |
0.703197 | + | 0.710995i | \(0.251755\pi\) | |||||||
\(380\) | 4.39690 | − | 55.8451i | 0.225556 | − | 2.86479i | ||||
\(381\) | 2.23009 | + | 0.724601i | 0.114251 | + | 0.0371224i | ||||
\(382\) | −22.8698 | + | 22.8698i | −1.17012 | + | 1.17012i | ||||
\(383\) | 15.1563 | + | 29.7460i | 0.774453 | + | 1.51995i | 0.852340 | + | 0.522988i | \(0.175183\pi\) |
−0.0778868 | + | 0.996962i | \(0.524817\pi\) | |||||||
\(384\) | 3.11617 | − | 2.26403i | 0.159022 | − | 0.115536i | ||||
\(385\) | 7.42314 | − | 25.0396i | 0.378318 | − | 1.27614i | ||||
\(386\) | −19.9447 | − | 14.4907i | −1.01516 | − | 0.737556i | ||||
\(387\) | 0.506005 | − | 3.19479i | 0.0257217 | − | 0.162400i | ||||
\(388\) | 1.94345 | − | 12.2705i | 0.0986640 | − | 0.622940i | ||||
\(389\) | −8.93652 | + | 12.3001i | −0.453099 | + | 0.623638i | −0.973060 | − | 0.230553i | \(-0.925947\pi\) |
0.519961 | + | 0.854190i | \(0.325947\pi\) | |||||||
\(390\) | −1.12965 | + | 1.84329i | −0.0572020 | + | 0.0933385i | ||||
\(391\) | −21.5989 | − | 29.7283i | −1.09230 | − | 1.50342i | ||||
\(392\) | 9.37939 | − | 34.9510i | 0.473731 | − | 1.76529i | ||||
\(393\) | 0.630179 | + | 0.630179i | 0.0317883 | + | 0.0317883i | ||||
\(394\) | 0.830416 | + | 0.269818i | 0.0418357 | + | 0.0135933i | ||||
\(395\) | 23.8319 | − | 5.72074i | 1.19911 | − | 0.287841i | ||||
\(396\) | −16.5180 | − | 50.8371i | −0.830059 | − | 2.55466i | ||||
\(397\) | 10.9935 | − | 21.5760i | 0.551748 | − | 1.08287i | −0.431758 | − | 0.901990i | \(-0.642106\pi\) |
0.983506 | − | 0.180877i | \(-0.0578936\pi\) | |||||||
\(398\) | 23.2016 | − | 3.67477i | 1.16299 | − | 0.184200i | ||||
\(399\) | −3.11525 | − | 1.19651i | −0.155957 | − | 0.0599006i | ||||
\(400\) | 20.3767 | − | 10.3808i | 1.01883 | − | 0.519039i | ||||
\(401\) | −31.4063 | −1.56835 | −0.784177 | − | 0.620537i | \(-0.786915\pi\) | ||||
−0.784177 | + | 0.620537i | \(0.786915\pi\) | |||||||
\(402\) | 0.431164 | + | 2.72226i | 0.0215045 | + | 0.135774i | ||||
\(403\) | 1.73063 | − | 3.39656i | 0.0862090 | − | 0.169195i | ||||
\(404\) | −11.4526 | − | 35.2475i | −0.569788 | − | 1.75363i | ||||
\(405\) | 7.37624 | − | 17.8062i | 0.366528 | − | 0.884797i | ||||
\(406\) | 7.71784 | + | 6.25223i | 0.383030 | + | 0.310293i | ||||
\(407\) | 12.4767 | − | 12.4767i | 0.618448 | − | 0.618448i | ||||
\(408\) | 7.14503 | − | 3.64058i | 0.353732 | − | 0.180235i | ||||
\(409\) | 17.6612 | − | 12.8316i | 0.873291 | − | 0.634483i | −0.0581767 | − | 0.998306i | \(-0.518529\pi\) |
0.931468 | + | 0.363823i | \(0.118529\pi\) | |||||||
\(410\) | 28.6383 | + | 33.5333i | 1.41435 | + | 1.65609i | ||||
\(411\) | −2.06575 | + | 2.84326i | −0.101896 | + | 0.140248i | ||||
\(412\) | 0.894843 | + | 0.141729i | 0.0440858 | + | 0.00698250i | ||||
\(413\) | 9.80547 | + | 5.66369i | 0.482496 | + | 0.278692i | ||||
\(414\) | −20.9554 | + | 28.8427i | −1.02990 | + | 1.41754i | ||||
\(415\) | 0.697961 | + | 1.68518i | 0.0342616 | + | 0.0827223i | ||||
\(416\) | −1.06258 | − | 1.46252i | −0.0520973 | − | 0.0717058i | ||||
\(417\) | 0.414268 | + | 0.813047i | 0.0202868 | + | 0.0398151i | ||||
\(418\) | 47.1526 | − | 47.1526i | 2.30631 | − | 2.30631i | ||||
\(419\) | −10.8766 | + | 33.4748i | −0.531358 | + | 1.63535i | 0.220033 | + | 0.975493i | \(0.429384\pi\) |
−0.751390 | + | 0.659858i | \(0.770616\pi\) | |||||||
\(420\) | −0.908765 | − | 4.90936i | −0.0443432 | − | 0.239552i | ||||
\(421\) | −3.38146 | − | 10.4071i | −0.164802 | − | 0.507210i | 0.834219 | − | 0.551433i | \(-0.185919\pi\) |
−0.999022 | + | 0.0442233i | \(0.985919\pi\) | |||||||
\(422\) | −34.8025 | − | 17.7328i | −1.69416 | − | 0.863218i | ||||
\(423\) | −25.9689 | + | 4.11307i | −1.26265 | + | 0.199984i | ||||
\(424\) | 12.7807i | 0.620686i | ||||||||
\(425\) | −35.7851 | + | 11.6248i | −1.73583 | + | 0.563883i | ||||
\(426\) | − | 1.98027i | − | 0.0959443i | ||||||
\(427\) | 13.8761 | + | 2.95223i | 0.671512 | + | 0.142868i | ||||
\(428\) | −13.8846 | + | 27.2501i | −0.671139 | + | 1.31718i | ||||
\(429\) | −1.64432 | + | 0.534272i | −0.0793885 | + | 0.0257949i | ||||
\(430\) | 4.59062 | + | 3.92101i | 0.221379 | + | 0.189088i | ||||
\(431\) | −4.21755 | + | 12.9803i | −0.203152 | + | 0.625239i | 0.796632 | + | 0.604465i | \(0.206613\pi\) |
−0.999784 | + | 0.0207739i | \(0.993387\pi\) | |||||||
\(432\) | −3.97157 | − | 3.97157i | −0.191082 | − | 0.191082i | ||||
\(433\) | 5.88887 | + | 11.5575i | 0.283001 | + | 0.555420i | 0.988123 | − | 0.153666i | \(-0.0491078\pi\) |
−0.705122 | + | 0.709086i | \(0.749108\pi\) | |||||||
\(434\) | 3.38922 | + | 12.6584i | 0.162688 | + | 0.607624i | ||||
\(435\) | 0.681574 | + | 0.163654i | 0.0326790 | + | 0.00784663i | ||||
\(436\) | −25.5754 | − | 18.5816i | −1.22484 | − | 0.889899i | ||||
\(437\) | −29.5117 | − | 4.67419i | −1.41174 | − | 0.223597i | ||||
\(438\) | −0.399328 | − | 0.0632474i | −0.0190806 | − | 0.00302208i | ||||
\(439\) | 0.917813 | + | 0.666831i | 0.0438048 | + | 0.0318261i | 0.609472 | − | 0.792807i | \(-0.291381\pi\) |
−0.565667 | + | 0.824634i | \(0.691381\pi\) | |||||||
\(440\) | 49.6204 | + | 11.9145i | 2.36556 | + | 0.568001i | ||||
\(441\) | 20.5883 | + | 2.17187i | 0.980397 | + | 0.103422i | ||||
\(442\) | 16.0240 | + | 31.4488i | 0.762182 | + | 1.49587i | ||||
\(443\) | −13.9503 | − | 13.9503i | −0.662797 | − | 0.662797i | 0.293242 | − | 0.956038i | \(-0.405266\pi\) |
−0.956038 | + | 0.293242i | \(0.905266\pi\) | |||||||
\(444\) | 1.04237 | − | 3.20807i | 0.0494685 | − | 0.152248i | ||||
\(445\) | −9.78807 | − | 8.36034i | −0.463999 | − | 0.396318i | ||||
\(446\) | −33.3885 | + | 10.8486i | −1.58099 | + | 0.513695i | ||||
\(447\) | −0.497509 | + | 0.976417i | −0.0235314 | + | 0.0461829i | ||||
\(448\) | −17.5936 | − | 3.74314i | −0.831219 | − | 0.176847i | ||||
\(449\) | 14.4907i | 0.683860i | 0.939725 | + | 0.341930i | \(0.111081\pi\) | ||||
−0.939725 | + | 0.341930i | \(0.888919\pi\) | |||||||
\(450\) | 21.4552 | + | 29.5345i | 1.01141 | + | 1.39227i | ||||
\(451\) | 35.2666i | 1.66064i | ||||||||
\(452\) | 32.6345 | − | 5.16880i | 1.53500 | − | 0.243120i | ||||
\(453\) | 2.29763 | + | 1.17070i | 0.107952 | + | 0.0550044i | ||||
\(454\) | 3.93397 | + | 12.1075i | 0.184630 | + | 0.568233i | ||||
\(455\) | 11.0527 | − | 2.04595i | 0.518158 | − | 0.0959155i | ||||
\(456\) | 2.01497 | − | 6.20143i | 0.0943595 | − | 0.290409i | ||||
\(457\) | 4.42308 | − | 4.42308i | 0.206903 | − | 0.206903i | −0.596047 | − | 0.802950i | \(-0.703263\pi\) |
0.802950 | + | 0.596047i | \(0.203263\pi\) | |||||||
\(458\) | −4.83202 | − | 9.48338i | −0.225786 | − | 0.443129i | ||||
\(459\) | 5.43181 | + | 7.47625i | 0.253535 | + | 0.348961i | ||||
\(460\) | −17.1060 | − | 41.3013i | −0.797572 | − | 1.92568i | ||||
\(461\) | −3.16235 | + | 4.35260i | −0.147285 | + | 0.202721i | −0.876285 | − | 0.481793i | \(-0.839986\pi\) |
0.729000 | + | 0.684514i | \(0.239986\pi\) | |||||||
\(462\) | 2.97268 | − | 5.14657i | 0.138302 | − | 0.239440i | ||||
\(463\) | 24.3710 | + | 3.85998i | 1.13261 | + | 0.179389i | 0.694474 | − | 0.719518i | \(-0.255637\pi\) |
0.438141 | + | 0.898906i | \(0.355637\pi\) | |||||||
\(464\) | −4.08829 | + | 5.62705i | −0.189794 | + | 0.261229i | ||||
\(465\) | 0.600573 | + | 0.703226i | 0.0278509 | + | 0.0326113i | ||||
\(466\) | −24.0496 | + | 17.4730i | −1.11407 | + | 0.809422i | ||||
\(467\) | 7.93600 | − | 4.04359i | 0.367234 | − | 0.187115i | −0.260629 | − | 0.965439i | \(-0.583930\pi\) |
0.627863 | + | 0.778324i | \(0.283930\pi\) | |||||||
\(468\) | 16.2676 | − | 16.2676i | 0.751971 | − | 0.751971i | ||||
\(469\) | 9.02053 | − | 11.1351i | 0.416530 | − | 0.514170i | ||||
\(470\) | 18.7811 | − | 45.3376i | 0.866310 | − | 2.09127i | ||||
\(471\) | 0.367696 | + | 1.13165i | 0.0169426 | + | 0.0521438i | ||||
\(472\) | −10.0449 | + | 19.7142i | −0.462354 | + | 0.907420i | ||||
\(473\) | 0.755290 | + | 4.76871i | 0.0347283 | + | 0.219266i | ||||
\(474\) | 5.57751 | 0.256183 | ||||||||
\(475\) | −13.8915 | + | 27.2594i | −0.637388 | + | 1.25075i | ||||
\(476\) | −76.0937 | − | 29.2263i | −3.48775 | − | 1.33958i | ||||
\(477\) | −7.22170 | + | 1.14380i | −0.330659 | + | 0.0523712i | ||||
\(478\) | 14.6556 | − | 28.7632i | 0.670330 | − | 1.31560i | ||||
\(479\) | 4.09301 | + | 12.5970i | 0.187014 | + | 0.575571i | 0.999977 | − | 0.00674428i | \(-0.00214679\pi\) |
−0.812963 | + | 0.582316i | \(0.802147\pi\) | |||||||
\(480\) | 0.426440 | − | 0.102365i | 0.0194642 | − | 0.00467229i | ||||
\(481\) | 7.22249 | + | 2.34673i | 0.329317 | + | 0.107002i | ||||
\(482\) | −43.1229 | − | 43.1229i | −1.96420 | − | 1.96420i | ||||
\(483\) | −2.64857 | + | 0.277865i | −0.120514 | + | 0.0126433i | ||||
\(484\) | 20.4265 | + | 28.1147i | 0.928477 | + | 1.27794i | ||||
\(485\) | −3.54546 | + | 5.78524i | −0.160991 | + | 0.262694i | ||||
\(486\) | 7.92379 | − | 10.9062i | 0.359430 | − | 0.494713i | ||||
\(487\) | 2.71331 | − | 17.1311i | 0.122952 | − | 0.776286i | −0.846749 | − | 0.531992i | \(-0.821444\pi\) |
0.969701 | − | 0.244294i | \(-0.0785563\pi\) | |||||||
\(488\) | −4.33637 | + | 27.3788i | −0.196298 | + | 1.23938i | ||||
\(489\) | −2.86779 | − | 2.08357i | −0.129686 | − | 0.0942222i | ||||
\(490\) | −23.5353 | + | 30.6456i | −1.06322 | + | 1.38443i | ||||
\(491\) | −1.18871 | + | 0.863649i | −0.0536458 | + | 0.0389759i | −0.614285 | − | 0.789084i | \(-0.710555\pi\) |
0.560639 | + | 0.828060i | \(0.310555\pi\) | |||||||
\(492\) | 3.06078 | + | 6.00712i | 0.137991 | + | 0.270822i | ||||
\(493\) | 8.09202 | − | 8.09202i | 0.364446 | − | 0.364446i | ||||
\(494\) | 27.2955 | + | 8.86886i | 1.22808 | + | 0.399029i | ||||
\(495\) | −2.29148 | + | 29.1041i | −0.102994 | + | 1.30813i | ||||
\(496\) | −8.72735 | + | 2.83569i | −0.391870 | + | 0.127326i | ||||
\(497\) | −7.65280 | + | 6.88797i | −0.343275 | + | 0.308968i | ||||
\(498\) | 0.0649342 | + | 0.409978i | 0.00290977 | + | 0.0183716i | ||||
\(499\) | 18.7450i | 0.839142i | 0.907722 | + | 0.419571i | \(0.137820\pi\) | ||||
−0.907722 | + | 0.419571i | \(0.862180\pi\) | |||||||
\(500\) | −45.6331 | + | 3.58700i | −2.04077 | + | 0.160416i | ||||
\(501\) | 3.31009 | 0.147884 | ||||||||
\(502\) | 9.57433 | + | 60.4499i | 0.427323 | + | 2.69801i | ||||
\(503\) | −26.5174 | − | 13.5113i | −1.18235 | − | 0.602438i | −0.251507 | − | 0.967856i | \(-0.580926\pi\) |
−0.930844 | + | 0.365418i | \(0.880926\pi\) | |||||||
\(504\) | −2.12479 | + | 40.3959i | −0.0946457 | + | 1.79938i | ||||
\(505\) | −1.58878 | + | 20.1791i | −0.0706998 | + | 0.897959i | ||||
\(506\) | 16.4444 | − | 50.6108i | 0.731044 | − | 2.24992i | ||||
\(507\) | 1.36867 | + | 1.36867i | 0.0607846 | + | 0.0607846i | ||||
\(508\) | 41.4969 | − | 21.1437i | 1.84113 | − | 0.938101i | ||||
\(509\) | 12.1945 | − | 8.85982i | 0.540512 | − | 0.392705i | −0.283763 | − | 0.958894i | \(-0.591583\pi\) |
0.824275 | + | 0.566190i | \(0.191583\pi\) | |||||||
\(510\) | −8.53616 | + | 0.671536i | −0.377988 | + | 0.0297361i | ||||
\(511\) | 1.14456 | + | 1.76321i | 0.0506325 | + | 0.0779998i | ||||
\(512\) | 6.71687 | − | 42.4086i | 0.296846 | − | 1.87421i | ||||
\(513\) | 7.42178 | + | 1.17550i | 0.327680 | + | 0.0518994i | ||||
\(514\) | −37.6399 | − | 27.3470i | −1.66022 | − | 1.20622i | ||||
\(515\) | −0.421897 | − | 0.258558i | −0.0185910 | − | 0.0113934i | ||||
\(516\) | 0.542528 | + | 0.746725i | 0.0238834 | + | 0.0328727i | ||||
\(517\) | 34.9682 | − | 17.8172i | 1.53790 | − | 0.783600i | ||||
\(518\) | −23.8508 | + | 10.6136i | −1.04794 | + | 0.466335i | ||||
\(519\) | −2.09705 | − | 0.681373i | −0.0920503 | − | 0.0299089i | ||||
\(520\) | 5.12654 | + | 21.3566i | 0.224814 | + | 0.936548i | ||||
\(521\) | −29.0466 | + | 9.43781i | −1.27255 | + | 0.413478i | −0.865952 | − | 0.500127i | \(-0.833287\pi\) |
−0.406603 | + | 0.913605i | \(0.633287\pi\) | |||||||
\(522\) | −9.89278 | − | 5.04063i | −0.432995 | − | 0.220622i | ||||
\(523\) | 31.3337 | − | 4.96277i | 1.37013 | − | 0.217007i | 0.572375 | − | 0.819992i | \(-0.306022\pi\) |
0.797752 | + | 0.602986i | \(0.206022\pi\) | |||||||
\(524\) | 17.7010 | 0.773271 | ||||||||
\(525\) | −0.567627 | + | 2.66713i | −0.0247733 | + | 0.116403i | ||||
\(526\) | 47.2948 | 2.06215 | ||||||||
\(527\) | 14.9123 | − | 2.36188i | 0.649591 | − | 0.102885i | ||||
\(528\) | 3.70833 | + | 1.88949i | 0.161384 | + | 0.0822294i | ||||
\(529\) | −0.803278 | + | 0.261001i | −0.0349251 | + | 0.0113479i | ||||
\(530\) | 5.22285 | − | 12.6079i | 0.226866 | − | 0.547654i | ||||
\(531\) | −12.0384 | − | 3.91152i | −0.522423 | − | 0.169745i | ||||
\(532\) | −60.5561 | + | 26.9475i | −2.62544 | + | 1.16832i | ||||
\(533\) | −13.5241 | + | 6.89089i | −0.585795 | + | 0.298478i | ||||
\(534\) | −1.72186 | − | 2.36994i | −0.0745121 | − | 0.102557i | ||||
\(535\) | 12.7018 | − | 10.8477i | 0.549149 | − | 0.468987i | ||||
\(536\) | 22.6532 | + | 16.4585i | 0.978467 | + | 0.710898i | ||||
\(537\) | 0.430109 | + | 0.0681226i | 0.0185606 | + | 0.00293971i | ||||
\(538\) | −10.5890 | + | 66.8563i | −0.456524 | + | 2.88238i | ||||
\(539\) | −30.2289 | + | 6.41330i | −1.30205 | + | 0.276240i | ||||
\(540\) | 4.30193 | + | 10.3867i | 0.185125 | + | 0.446973i | ||||
\(541\) | 27.4655 | − | 19.9549i | 1.18083 | − | 0.857926i | 0.188569 | − | 0.982060i | \(-0.439615\pi\) |
0.992266 | + | 0.124134i | \(0.0396151\pi\) | |||||||
\(542\) | −23.1900 | + | 11.8159i | −0.996096 | + | 0.507536i | ||||
\(543\) | −3.35519 | − | 3.35519i | −0.143985 | − | 0.143985i | ||||
\(544\) | 2.21255 | − | 6.80952i | 0.0948622 | − | 0.291956i | ||||
\(545\) | 9.02091 | + | 14.7218i | 0.386413 | + | 0.630614i | ||||
\(546\) | 2.55446 | + | 0.134363i | 0.109321 | + | 0.00575020i | ||||
\(547\) | 4.65971 | + | 2.37424i | 0.199235 | + | 0.101515i | 0.550762 | − | 0.834663i | \(-0.314337\pi\) |
−0.351527 | + | 0.936178i | \(0.614337\pi\) | |||||||
\(548\) | 10.9197 | + | 68.9442i | 0.466466 | + | 2.94515i | ||||
\(549\) | −15.8584 | −0.676818 | ||||||||
\(550\) | −44.0807 | − | 32.0308i | −1.87961 | − | 1.36580i | ||||
\(551\) | − | 9.30539i | − | 0.396423i | ||||||
\(552\) | −0.814018 | − | 5.13951i | −0.0346469 | − | 0.218752i | ||||
\(553\) | −19.4002 | − | 21.5544i | −0.824982 | − | 0.916588i | ||||
\(554\) | 27.4820 | − | 8.92945i | 1.16760 | − | 0.379376i | ||||
\(555\) | −1.19652 | + | 1.40086i | −0.0507895 | + | 0.0594630i | ||||
\(556\) | 17.2369 | + | 5.60061i | 0.731008 | + | 0.237519i | ||||
\(557\) | −20.1686 | + | 20.1686i | −0.854572 | + | 0.854572i | −0.990692 | − | 0.136120i | \(-0.956537\pi\) |
0.136120 | + | 0.990692i | \(0.456537\pi\) | |||||||
\(558\) | −6.65024 | − | 13.0518i | −0.281527 | − | 0.552528i | ||||
\(559\) | −1.68114 | + | 1.22142i | −0.0711046 | + | 0.0516605i | ||||
\(560\) | −22.2961 | − | 15.3310i | −0.942183 | − | 0.647853i | ||||
\(561\) | −5.53993 | − | 4.02499i | −0.233896 | − | 0.169935i | ||||
\(562\) | −7.37003 | + | 46.5326i | −0.310886 | + | 1.96286i | ||||
\(563\) | 0.934834 | − | 5.90231i | 0.0393985 | − | 0.248753i | −0.960127 | − | 0.279565i | \(-0.909810\pi\) |
0.999525 | + | 0.0308129i | \(0.00980960\pi\) | |||||||
\(564\) | 4.40995 | − | 6.06977i | 0.185692 | − | 0.255584i | ||||
\(565\) | −17.5472 | − | 4.21330i | −0.738216 | − | 0.177255i | ||||
\(566\) | 15.2030 | + | 20.9252i | 0.639030 | + | 0.879550i | ||||
\(567\) | −22.6803 | + | 2.37942i | −0.952483 | + | 0.0999262i | ||||
\(568\) | −14.2256 | − | 14.2256i | −0.596892 | − | 0.596892i | ||||
\(569\) | 16.1923 | + | 5.26120i | 0.678817 | + | 0.220561i | 0.628077 | − | 0.778151i | \(-0.283842\pi\) |
0.0507396 | + | 0.998712i | \(0.483842\pi\) | |||||||
\(570\) | −4.52195 | + | 5.29418i | −0.189404 | + | 0.221749i | ||||
\(571\) | −9.76647 | − | 30.0581i | −0.408714 | − | 1.25789i | −0.917754 | − | 0.397149i | \(-0.870000\pi\) |
0.509040 | − | 0.860743i | \(-0.330000\pi\) | |||||||
\(572\) | −15.5900 | + | 30.5970i | −0.651849 | + | 1.27932i | ||||
\(573\) | 2.66738 | − | 0.422471i | 0.111431 | − | 0.0176490i | ||||
\(574\) | 18.7081 | − | 48.7084i | 0.780859 | − | 2.03305i | ||||
\(575\) | −0.00156093 | + | 24.4155i | −6.50953e−5 | + | 1.01820i | ||||
\(576\) | 20.1069 | 0.837787 | ||||||||
\(577\) | 6.61687 | + | 41.7773i | 0.275464 | + | 1.73921i | 0.606043 | + | 0.795432i | \(0.292756\pi\) |
−0.330579 | + | 0.943778i | \(0.607244\pi\) | |||||||
\(578\) | −44.4129 | + | 87.1651i | −1.84733 | + | 3.62559i | ||||
\(579\) | 0.636122 | + | 1.95778i | 0.0264363 | + | 0.0813627i | ||||
\(580\) | 11.8707 | − | 7.27387i | 0.492905 | − | 0.302031i | ||||
\(581\) | 1.35851 | − | 1.67697i | 0.0563606 | − | 0.0695724i | ||||
\(582\) | −1.09185 | + | 1.09185i | −0.0452588 | + | 0.0452588i | ||||
\(583\) | 9.72432 | − | 4.95479i | 0.402740 | − | 0.205206i | ||||
\(584\) | −3.32299 | + | 2.41429i | −0.137506 | + | 0.0999042i | ||||
\(585\) | −11.6087 | + | 4.80803i | −0.479959 | + | 0.198788i | ||||
\(586\) | −28.7078 | + | 39.5130i | −1.18591 | + | 1.63227i | ||||
\(587\) | −3.47275 | − | 0.550030i | −0.143336 | − | 0.0227022i | 0.0843542 | − | 0.996436i | \(-0.473117\pi\) |
−0.227690 | + | 0.973734i | \(0.573117\pi\) | |||||||
\(588\) | −4.59242 | + | 3.71597i | −0.189388 | + | 0.153244i | ||||
\(589\) | 7.21616 | − | 9.93219i | 0.297337 | − | 0.409249i | ||||
\(590\) | 17.9653 | − | 15.3428i | 0.739621 | − | 0.631655i | ||||
\(591\) | −0.0428545 | − | 0.0589841i | −0.00176280 | − | 0.00242628i | ||||
\(592\) | −8.29937 | − | 16.2884i | −0.341102 | − | 0.669450i | ||||
\(593\) | 6.75921 | − | 6.75921i | 0.277567 | − | 0.277567i | −0.554570 | − | 0.832137i | \(-0.687117\pi\) |
0.832137 | + | 0.554570i | \(0.187117\pi\) | |||||||
\(594\) | −4.13555 | + | 12.7279i | −0.169684 | + | 0.522232i | ||||
\(595\) | 32.2865 | + | 30.6524i | 1.32362 | + | 1.25663i | ||||
\(596\) | 6.72597 | + | 20.7004i | 0.275507 | + | 0.847922i | ||||
\(597\) | −1.74770 | − | 0.890498i | −0.0715287 | − | 0.0364457i | ||||
\(598\) | 22.6215 | − | 3.58289i | 0.925062 | − | 0.146515i | ||||
\(599\) | − | 22.1468i | − | 0.904895i | −0.891791 | − | 0.452448i | \(-0.850551\pi\) | ||
0.891791 | − | 0.452448i | \(-0.149449\pi\) | |||||||
\(600\) | −5.26250 | − | 0.833843i | −0.214841 | − | 0.0340415i | ||||
\(601\) | − | 29.6537i | − | 1.20960i | −0.796378 | − | 0.604800i | \(-0.793253\pi\) | ||
0.796378 | − | 0.604800i | \(-0.206747\pi\) | |||||||
\(602\) | 1.48652 | − | 6.98696i | 0.0605859 | − | 0.284767i | ||||
\(603\) | −7.27247 | + | 14.2730i | −0.296158 | + | 0.581243i | ||||
\(604\) | 48.7107 | − | 15.8271i | 1.98201 | − | 0.643995i | ||||
\(605\) | −4.43022 | − | 18.4558i | −0.180114 | − | 0.750334i | ||||
\(606\) | −1.42345 | + | 4.38093i | −0.0578237 | + | 0.177963i | ||||
\(607\) | −12.9069 | − | 12.9069i | −0.523876 | − | 0.523876i | 0.394864 | − | 0.918740i | \(-0.370792\pi\) |
−0.918740 | + | 0.394864i | \(0.870792\pi\) | |||||||
\(608\) | −2.64313 | − | 5.18744i | −0.107193 | − | 0.210379i | ||||
\(609\) | −0.214504 | − | 0.801152i | −0.00869214 | − | 0.0324643i | ||||
\(610\) | 15.4661 | − | 25.2366i | 0.626204 | − | 1.02180i | ||||
\(611\) | 13.6652 | + | 9.92833i | 0.552834 | + | 0.401657i | ||||
\(612\) | 89.9965 | + | 14.2540i | 3.63789 | + | 0.576186i | ||||
\(613\) | −26.4801 | − | 4.19404i | −1.06952 | − | 0.169396i | −0.403239 | − | 0.915095i | \(-0.632116\pi\) |
−0.666283 | + | 0.745699i | \(0.732116\pi\) | |||||||
\(614\) | −60.1538 | − | 43.7043i | −2.42761 | − | 1.76376i | ||||
\(615\) | −0.288785 | − | 3.67086i | −0.0116449 | − | 0.148023i | ||||
\(616\) | −15.6165 | − | 58.3260i | −0.629205 | − | 2.35002i | ||||
\(617\) | −13.1667 | − | 25.8411i | −0.530072 | − | 1.04032i | −0.988447 | − | 0.151566i | \(-0.951568\pi\) |
0.458375 | − | 0.888759i | \(-0.348432\pi\) | |||||||
\(618\) | −0.0796251 | − | 0.0796251i | −0.00320299 | − | 0.00320299i | ||||
\(619\) | 3.49027 | − | 10.7420i | 0.140286 | − | 0.431756i | −0.856089 | − | 0.516829i | \(-0.827112\pi\) |
0.996375 | + | 0.0850732i | \(0.0271124\pi\) | |||||||
\(620\) | 18.3111 | + | 1.44170i | 0.735391 | + | 0.0579002i | ||||
\(621\) | 5.70310 | − | 1.85305i | 0.228857 | − | 0.0743603i | ||||
\(622\) | 28.9134 | − | 56.7457i | 1.15932 | − | 2.27530i | ||||
\(623\) | −3.16954 | + | 14.8975i | −0.126985 | + | 0.596857i | ||||
\(624\) | 1.79128i | 0.0717084i | ||||||||
\(625\) | 23.7754 | + | 7.72846i | 0.951017 | + | 0.309139i | ||||
\(626\) | − | 40.4966i | − | 1.61857i | ||||||
\(627\) | −5.49957 | + | 0.871046i | −0.219632 | + | 0.0347862i | ||||
\(628\) | 21.0575 | + | 10.7293i | 0.840285 | + | 0.428146i | ||||
\(629\) | 9.29458 | + | 28.6058i | 0.370599 | + | 1.14059i | ||||
\(630\) | 18.6039 | − | 38.9815i | 0.741196 | − | 1.55306i | ||||
\(631\) | −4.67999 | + | 14.4035i | −0.186307 | + | 0.573395i | −0.999968 | − | 0.00794449i | \(-0.997471\pi\) |
0.813661 | + | 0.581339i | \(0.197471\pi\) | |||||||
\(632\) | 40.0670 | − | 40.0670i | 1.59378 | − | 1.59378i | ||||
\(633\) | 1.48069 | + | 2.90602i | 0.0588522 | + | 0.115504i | ||||
\(634\) | −40.2484 | − | 55.3972i | −1.59847 | − | 2.20010i | ||||
\(635\) | −25.3581 | + | 1.99491i | −1.00631 | + | 0.0791657i | ||||
\(636\) | 1.22636 | − | 1.68794i | 0.0486285 | − | 0.0669313i | ||||
\(637\) | −8.36595 | − | 10.3392i | −0.331471 | − | 0.409652i | ||||
\(638\) | 16.3688 | + | 2.59256i | 0.648047 | + | 0.102640i | ||||
\(639\) | 6.76501 | − | 9.31123i | 0.267620 | − | 0.368347i | ||||
\(640\) | −21.8329 | + | 35.6256i | −0.863023 | + | 1.40822i | ||||
\(641\) | −37.9323 | + | 27.5594i | −1.49823 | + | 1.08853i | −0.527156 | + | 0.849768i | \(0.676742\pi\) |
−0.971078 | + | 0.238762i | \(0.923258\pi\) | |||||||
\(642\) | 3.38693 | − | 1.72573i | 0.133671 | − | 0.0681090i | ||||
\(643\) | −16.5448 | + | 16.5448i | −0.652463 | + | 0.652463i | −0.953586 | − | 0.301122i | \(-0.902639\pi\) |
0.301122 | + | 0.953586i | \(0.402639\pi\) | |||||||
\(644\) | −33.2952 | + | 41.1000i | −1.31201 | + | 1.61957i | ||||
\(645\) | −0.117667 | − | 0.490185i | −0.00463311 | − | 0.0193010i | ||||
\(646\) | 35.1265 | + | 108.108i | 1.38203 | + | 4.25346i | ||||
\(647\) | 3.81842 | − | 7.49408i | 0.150118 | − | 0.294623i | −0.803686 | − | 0.595054i | \(-0.797131\pi\) |
0.953803 | + | 0.300431i | \(0.0971307\pi\) | |||||||
\(648\) | −6.97061 | − | 44.0107i | −0.273832 | − | 1.72890i | ||||
\(649\) | 18.8939 | 0.741651 | ||||||||
\(650\) | 3.67015 | − | 23.1628i | 0.143955 | − | 0.908521i | ||||
\(651\) | 0.392326 | − | 1.02146i | 0.0153765 | − | 0.0400342i | ||||
\(652\) | −69.5388 | + | 11.0139i | −2.72335 | + | 0.431336i | ||||
\(653\) | 12.4766 | − | 24.4867i | 0.488246 | − | 0.958237i | −0.507101 | − | 0.861887i | \(-0.669283\pi\) |
0.995347 | − | 0.0963509i | \(-0.0307171\pi\) | |||||||
\(654\) | 1.21419 | + | 3.73688i | 0.0474785 | + | 0.146124i | ||||
\(655\) | −8.93160 | − | 3.69992i | −0.348987 | − | 0.144568i | ||||
\(656\) | 34.7498 | + | 11.2909i | 1.35675 | + | 0.440836i | ||||
\(657\) | −1.66158 | − | 1.66158i | −0.0648243 | − | 0.0648243i | ||||
\(658\) | −57.7479 | + | 6.05840i | −2.25125 | + | 0.236181i | ||||
\(659\) | −26.2956 | − | 36.1928i | −1.02433 | − | 1.40987i | −0.909121 | − | 0.416531i | \(-0.863246\pi\) |
−0.115211 | − | 0.993341i | \(-0.536754\pi\) | |||||||
\(660\) | −5.41010 | − | 6.33483i | −0.210588 | − | 0.246583i | ||||
\(661\) | 22.4661 | − | 30.9219i | 0.873829 | − | 1.20272i | −0.104263 | − | 0.994550i | \(-0.533248\pi\) |
0.978092 | − | 0.208173i | \(-0.0667517\pi\) | |||||||
\(662\) | −1.52120 | + | 9.60448i | −0.0591231 | + | 0.373289i | ||||
\(663\) | 0.461046 | − | 2.91093i | 0.0179055 | − | 0.113051i | ||||
\(664\) | 3.41161 | + | 2.47868i | 0.132396 | + | 0.0961915i | ||||
\(665\) | 36.1882 | − | 0.939551i | 1.40332 | − | 0.0364342i | ||||
\(666\) | 23.6086 | − | 17.1527i | 0.914815 | − | 0.664652i | ||||
\(667\) | −3.37130 | − | 6.61655i | −0.130537 | − | 0.256194i | ||||
\(668\) | 46.4883 | − | 46.4883i | 1.79868 | − | 1.79868i | ||||
\(669\) | 2.78795 | + | 0.905860i | 0.107788 | + | 0.0350226i | ||||
\(670\) | −15.6211 | − | 25.4932i | −0.603497 | − | 0.984889i | ||||
\(671\) | 22.5125 | − | 7.31475i | 0.869085 | − | 0.282383i | ||||
\(672\) | −0.347141 | − | 0.385687i | −0.0133912 | − | 0.0148782i | ||||
\(673\) | 1.58308 | + | 9.99517i | 0.0610232 | + | 0.385285i | 0.999231 | + | 0.0392126i | \(0.0124850\pi\) |
−0.938208 | + | 0.346073i | \(0.887515\pi\) | |||||||
\(674\) | − | 56.9110i | − | 2.19213i | ||||||
\(675\) | 0.000392552 | − | 6.14015i | 1.51093e−5 | − | 0.236335i | ||||
\(676\) | 38.4442 | 1.47862 | ||||||||
\(677\) | −3.02654 | − | 19.1088i | −0.116319 | − | 0.734412i | −0.975050 | − | 0.221985i | \(-0.928746\pi\) |
0.858731 | − | 0.512427i | \(-0.171254\pi\) | |||||||
\(678\) | −3.65911 | − | 1.86441i | −0.140527 | − | 0.0716023i | ||||
\(679\) | 8.01730 | + | 0.421704i | 0.307676 | + | 0.0161835i | ||||
\(680\) | −56.4969 | + | 66.1451i | −2.16656 | + | 2.53655i | ||||
\(681\) | 0.328488 | − | 1.01098i | 0.0125877 | − | 0.0387409i | ||||
\(682\) | 15.4609 | + | 15.4609i | 0.592028 | + | 0.592028i | ||||
\(683\) | 39.0464 | − | 19.8951i | 1.49407 | − | 0.761266i | 0.499596 | − | 0.866258i | \(-0.333482\pi\) |
0.994473 | + | 0.104992i | \(0.0334818\pi\) | |||||||
\(684\) | 59.9412 | − | 43.5499i | 2.29191 | − | 1.66517i | ||||
\(685\) | 8.90109 | − | 37.0705i | 0.340093 | − | 1.41639i | ||||
\(686\) | 45.1527 | + | 7.17799i | 1.72394 | + | 0.274057i | ||||
\(687\) | −0.139028 | + | 0.877789i | −0.00530425 | + | 0.0334897i | ||||
\(688\) | 4.94065 | + | 0.782522i | 0.188360 | + | 0.0298334i | ||||
\(689\) | 3.80015 | + | 2.76097i | 0.144774 | + | 0.105185i | ||||
\(690\) | −1.29725 | + | 5.40268i | −0.0493855 | + | 0.205676i | ||||
\(691\) | 26.4300 | + | 36.3778i | 1.00544 | + | 1.38388i | 0.921925 | + | 0.387369i | \(0.126616\pi\) |
0.0835193 | + | 0.996506i | \(0.473384\pi\) | |||||||
\(692\) | −39.0213 | + | 19.8823i | −1.48337 | + | 0.755813i | ||||
\(693\) | 31.5593 | − | 14.0439i | 1.19884 | − | 0.533483i | ||||
\(694\) | −55.4735 | − | 18.0244i | −2.10575 | − | 0.684198i | ||||
\(695\) | −7.52677 | − | 6.42889i | −0.285507 | − | 0.243862i | ||||
\(696\) | 1.54123 | − | 0.500777i | 0.0584202 | − | 0.0189819i | ||||
\(697\) | −53.5644 | − | 27.2924i | −2.02890 | − | 1.03377i | ||||
\(698\) | 24.2891 | − | 3.84701i | 0.919355 | − | 0.145612i | ||||
\(699\) | 2.48220 | 0.0938856 | ||||||||
\(700\) | 29.4863 | + | 45.4302i | 1.11448 | + | 1.71710i | ||||
\(701\) | −27.9833 | −1.05692 | −0.528458 | − | 0.848960i | \(-0.677230\pi\) | ||||
−0.528458 | + | 0.848960i | \(0.677230\pi\) | |||||||
\(702\) | −5.68899 | + | 0.901048i | −0.214717 | + | 0.0340079i | ||||
\(703\) | 21.7917 | + | 11.1034i | 0.821888 | + | 0.418773i | ||||
\(704\) | −28.5437 | + | 9.27441i | −1.07578 | + | 0.349542i | ||||
\(705\) | −3.49391 | + | 2.14092i | −0.131588 | + | 0.0806315i | ||||
\(706\) | 45.1839 | + | 14.6811i | 1.70052 | + | 0.552532i | ||||
\(707\) | 21.8814 | − | 9.73723i | 0.822935 | − | 0.366206i | ||||
\(708\) | 3.21829 | − | 1.63980i | 0.120951 | − | 0.0616274i | ||||
\(709\) | 19.1433 | + | 26.3484i | 0.718940 | + | 0.989537i | 0.999558 | + | 0.0297170i | \(0.00946061\pi\) |
−0.280618 | + | 0.959820i | \(0.590539\pi\) | |||||||
\(710\) | 8.21998 | + | 19.8466i | 0.308490 | + | 0.744829i | ||||
\(711\) | 26.2255 | + | 19.0539i | 0.983532 | + | 0.714578i | ||||
\(712\) | −29.3941 | − | 4.65557i | −1.10159 | − | 0.174475i | ||||
\(713\) | 1.53263 | − | 9.67661i | 0.0573973 | − | 0.362392i | ||||
\(714\) | 5.51630 | + | 8.49790i | 0.206442 | + | 0.318026i | ||||
\(715\) | 14.2619 | − | 12.1800i | 0.533365 | − | 0.455507i | ||||
\(716\) | 6.99737 | − | 5.08389i | 0.261504 | − | 0.189994i | ||||
\(717\) | −2.40173 | + | 1.22374i | −0.0896944 | + | 0.0457016i | ||||
\(718\) | −4.13799 | − | 4.13799i | −0.154429 | − | 0.154429i | ||||
\(719\) | 13.1048 | − | 40.3325i | 0.488727 | − | 1.50415i | −0.337782 | − | 0.941224i | \(-0.609677\pi\) |
0.826509 | − | 0.562923i | \(-0.190323\pi\) | |||||||
\(720\) | 27.9440 | + | 11.5758i | 1.04141 | + | 0.431406i | ||||
\(721\) | −0.0307534 | + | 0.584674i | −0.00114531 | + | 0.0217744i | ||||
\(722\) | 40.5643 | + | 20.6685i | 1.50965 | + | 0.769203i | ||||
\(723\) | 0.796607 | + | 5.02958i | 0.0296261 | + | 0.187052i | ||||
\(724\) | −94.2433 | −3.50252 | ||||||||
\(725\) | −7.51017 | + | 1.18900i | −0.278921 | + | 0.0441584i | ||||
\(726\) | − | 4.31930i | − | 0.160304i | ||||||
\(727\) | −0.482868 | − | 3.04871i | −0.0179086 | − | 0.113070i | 0.977115 | − | 0.212713i | \(-0.0682300\pi\) |
−0.995023 | + | 0.0996428i | \(0.968230\pi\) | |||||||
\(728\) | 19.3156 | − | 17.3852i | 0.715885 | − | 0.644339i | ||||
\(729\) | 23.5220 | − | 7.64277i | 0.871187 | − | 0.283066i | ||||
\(730\) | 4.26467 | − | 1.02371i | 0.157843 | − | 0.0378893i | ||||
\(731\) | −7.82743 | − | 2.54329i | −0.289508 | − | 0.0940668i | ||||
\(732\) | 3.19981 | − | 3.19981i | 0.118268 | − | 0.118268i | ||||
\(733\) | −7.32988 | − | 14.3857i | −0.270735 | − | 0.531348i | 0.715109 | − | 0.699013i | \(-0.246377\pi\) |
−0.985844 | + | 0.167665i | \(0.946377\pi\) | |||||||
\(734\) | 0.856213 | − | 0.622075i | 0.0316034 | − | 0.0229612i | ||||
\(735\) | 3.09398 | − | 0.915087i | 0.114123 | − | 0.0337535i | ||||
\(736\) | −3.75877 | − | 2.73091i | −0.138550 | − | 0.100663i | ||||
\(737\) | 3.74047 | − | 23.6164i | 0.137782 | − | 0.869922i | ||||
\(738\) | −9.12417 | + | 57.6077i | −0.335865 | + | 2.12057i | ||||
\(739\) | −2.80874 | + | 3.86590i | −0.103321 | + | 0.142209i | −0.857547 | − | 0.514406i | \(-0.828012\pi\) |
0.754226 | + | 0.656615i | \(0.228012\pi\) | |||||||
\(740\) | 2.86976 | + | 36.4786i | 0.105494 | + | 1.34098i | ||||
\(741\) | −1.40862 | − | 1.93879i | −0.0517468 | − | 0.0712233i | ||||
\(742\) | −16.0591 | + | 1.68478i | −0.589549 | + | 0.0618503i | ||||
\(743\) | 4.12484 | + | 4.12484i | 0.151326 | + | 0.151326i | 0.778710 | − | 0.627384i | \(-0.215874\pi\) |
−0.627384 | + | 0.778710i | \(0.715874\pi\) | |||||||
\(744\) | 2.03339 | + | 0.660689i | 0.0745478 | + | 0.0242220i | ||||
\(745\) | 0.933071 | − | 11.8509i | 0.0341851 | − | 0.434185i | ||||
\(746\) | −18.6650 | − | 57.4449i | −0.683374 | − | 2.10321i | ||||
\(747\) | −1.09525 | + | 2.14955i | −0.0400731 | + | 0.0786479i | ||||
\(748\) | −134.334 | + | 21.2764i | −4.91172 | + | 0.777940i | ||||
\(749\) | −18.4499 | − | 7.08629i | −0.674144 | − | 0.258927i | ||||
\(750\) | 4.85061 | + | 2.97309i | 0.177119 | + | 0.108562i | ||||
\(751\) | −9.19974 | −0.335703 | −0.167852 | − | 0.985812i | \(-0.553683\pi\) | ||||
−0.167852 | + | 0.985812i | \(0.553683\pi\) | |||||||
\(752\) | −6.36075 | − | 40.1602i | −0.231953 | − | 1.46449i | ||||
\(753\) | 2.32012 | − | 4.55350i | 0.0845500 | − | 0.165939i | ||||
\(754\) | 2.20416 | + | 6.78372i | 0.0802709 | + | 0.247049i | ||||
\(755\) | −27.8868 | − | 2.19564i | −1.01490 | − | 0.0799074i | ||||
\(756\) | 8.37327 | − | 10.3361i | 0.304533 | − | 0.375920i | ||||
\(757\) | 9.03988 | − | 9.03988i | 0.328560 | − | 0.328560i | −0.523479 | − | 0.852039i | \(-0.675366\pi\) |
0.852039 | + | 0.523479i | \(0.175366\pi\) | |||||||
\(758\) | −38.4593 | + | 19.5960i | −1.39690 | + | 0.711758i | ||||
\(759\) | −3.59486 | + | 2.61182i | −0.130485 | + | 0.0948031i | ||||
\(760\) | 5.54744 | + | 70.5158i | 0.201227 | + | 2.55788i | ||||
\(761\) | −23.0673 | + | 31.7494i | −0.836190 | + | 1.15092i | 0.150550 | + | 0.988602i | \(0.451896\pi\) |
−0.986739 | + | 0.162314i | \(0.948104\pi\) | |||||||
\(762\) | −5.71732 | − | 0.905535i | −0.207117 | − | 0.0328041i | ||||
\(763\) | 10.2180 | − | 17.6903i | 0.369916 | − | 0.640431i | ||||
\(764\) | 31.5284 | − | 43.3951i | 1.14066 | − | 1.56998i | ||||
\(765\) | −42.4312 | − | 26.0037i | −1.53410 | − | 0.940167i | ||||
\(766\) | −48.4421 | − | 66.6748i | −1.75028 | − | 2.40906i | ||||
\(767\) | 3.69176 | + | 7.24549i | 0.133302 | + | 0.261619i | ||||
\(768\) | −4.74177 | + | 4.74177i | −0.171104 | + | 0.171104i | ||||
\(769\) | 4.04237 | − | 12.4411i | 0.145771 | − | 0.448639i | −0.851338 | − | 0.524618i | \(-0.824208\pi\) |
0.997109 | + | 0.0759792i | \(0.0242083\pi\) | |||||||
\(770\) | −8.42961 | + | 63.9192i | −0.303782 | + | 2.30349i | ||||
\(771\) | 1.20050 | + | 3.69475i | 0.0432348 | + | 0.133063i | ||||
\(772\) | 36.4299 | + | 18.5619i | 1.31114 | + | 0.668059i | ||||
\(773\) | 12.3295 | − | 1.95280i | 0.443461 | − | 0.0702372i | 0.0692887 | − | 0.997597i | \(-0.477927\pi\) |
0.374172 | + | 0.927359i | \(0.377927\pi\) | |||||||
\(774\) | 7.98507i | 0.287017i | ||||||||
\(775\) | −8.93810 | − | 4.55491i | −0.321066 | − | 0.163617i | ||||
\(776\) | 15.6870i | 0.563132i | ||||||||
\(777\) | 2.13211 | + | 0.453620i | 0.0764892 | + | 0.0162735i | ||||
\(778\) | 17.0393 | − | 33.4416i | 0.610890 | − | 1.19894i | ||||
\(779\) | −46.4905 | + | 15.1057i | −1.66569 | + | 0.541217i | ||||
\(780\) | 1.37219 | − | 3.31247i | 0.0491324 | − | 0.118605i | ||||
\(781\) | −5.30873 | + | 16.3386i | −0.189961 | + | 0.584641i | ||||
\(782\) | 64.1436 | + | 64.1436i | 2.29377 | + | 2.29377i | ||||
\(783\) | 0.847835 | + | 1.66397i | 0.0302991 | + | 0.0594654i | ||||
\(784\) | −3.35873 | + | 31.8393i | −0.119955 | + | 1.13712i | ||||
\(785\) | −8.38254 | − | 9.81533i | −0.299186 | − | 0.350324i | ||||
\(786\) | −1.77989 | − | 1.29317i | −0.0634865 | − | 0.0461257i | ||||
\(787\) | −45.4672 | − | 7.20130i | −1.62073 | − | 0.256699i | −0.720933 | − | 0.693005i | \(-0.756286\pi\) |
−0.899798 | + | 0.436306i | \(0.856286\pi\) | |||||||
\(788\) | −1.43026 | − | 0.226531i | −0.0509510 | − | 0.00806984i | ||||
\(789\) | −3.19491 | − | 2.32124i | −0.113742 | − | 0.0826384i | ||||
\(790\) | −55.8987 | + | 23.1519i | −1.98879 | + | 0.823708i | ||||
\(791\) | 5.52243 | + | 20.6257i | 0.196355 | + | 0.733367i | ||||
\(792\) | 30.6422 | + | 60.1387i | 1.08882 | + | 2.13694i | ||||
\(793\) | 7.20389 | + | 7.20389i | 0.255818 | + | 0.255818i | ||||
\(794\) | −18.4726 | + | 56.8528i | −0.655568 | + | 2.01763i | ||||
\(795\) | −0.971621 | + | 0.595368i | −0.0344599 | + | 0.0211155i | ||||
\(796\) | −37.0519 | + | 12.0389i | −1.31327 | + | 0.426708i | ||||
\(797\) | 11.5819 | − | 22.7307i | 0.410251 | − | 0.805164i | −0.589746 | − | 0.807589i | \(-0.700772\pi\) |
0.999997 | + | 0.00242539i | \(0.000772028\pi\) | |||||||
\(798\) | 8.05778 | + | 1.71434i | 0.285242 | + | 0.0606871i | ||||
\(799\) | 66.8997i | 2.36674i | ||||||||
\(800\) | −3.84894 | + | 2.79604i | −0.136081 | + | 0.0988551i | ||||
\(801\) | − | 17.0257i | − | 0.601573i | ||||||
\(802\) | 76.5760 | − | 12.1284i | 2.70399 | − | 0.428270i | ||||
\(803\) | 3.12518 | + | 1.59236i | 0.110285 | + | 0.0561932i | ||||
\(804\) | −1.41253 | − | 4.34733i | −0.0498162 | − | 0.153318i | ||||
\(805\) | 25.3910 | − | 13.7789i | 0.894916 | − | 0.485642i | ||||
\(806\) | −2.90802 | + | 8.94996i | −0.102431 | + | 0.315249i | ||||
\(807\) | 3.99664 | − | 3.99664i | 0.140689 | − | 0.140689i | ||||
\(808\) | 21.2456 | + | 41.6967i | 0.747416 | + | 1.46689i | ||||
\(809\) | 19.6228 | + | 27.0085i | 0.689900 | + | 0.949567i | 0.999999 | − | 0.00113775i | \(-0.000362157\pi\) |
−0.310099 | + | 0.950704i | \(0.600362\pi\) | |||||||
\(810\) | −11.1086 | + | 46.2643i | −0.390318 | + | 1.62556i | ||||
\(811\) | 0.750387 | − | 1.03282i | 0.0263497 | − | 0.0362672i | −0.795639 | − | 0.605771i | \(-0.792865\pi\) |
0.821989 | + | 0.569504i | \(0.192865\pi\) | |||||||
\(812\) | −14.2643 | − | 8.23911i | −0.500578 | − | 0.289136i | ||||
\(813\) | 2.14649 | + | 0.339970i | 0.0752806 | + | 0.0119233i | ||||
\(814\) | −25.6030 | + | 35.2395i | −0.897384 | + | 1.23514i | ||||
\(815\) | 37.3902 | + | 8.97786i | 1.30972 | + | 0.314481i | ||||
\(816\) | −5.73967 | + | 4.17011i | −0.200929 | + | 0.145983i | ||||
\(817\) | −5.96288 | + | 3.03824i | −0.208615 | + | 0.106295i | ||||
\(818\) | −38.1070 | + | 38.1070i | −1.33238 | + | 1.33238i | ||||
\(819\) | 11.5521 | + | 9.35835i | 0.403663 | + | 0.327007i | ||||
\(820\) | −55.6109 | − | 47.4992i | −1.94202 | − | 1.65875i | ||||
\(821\) | −6.76858 | − | 20.8315i | −0.236225 | − | 0.727026i | −0.996957 | − | 0.0779591i | \(-0.975160\pi\) |
0.760732 | − | 0.649067i | \(-0.224840\pi\) | |||||||
\(822\) | 3.93879 | − | 7.73030i | 0.137381 | − | 0.269625i | ||||
\(823\) | −4.08930 | − | 25.8188i | −0.142544 | − | 0.899987i | −0.950495 | − | 0.310738i | \(-0.899424\pi\) |
0.807951 | − | 0.589249i | \(-0.200576\pi\) | |||||||
\(824\) | −1.14400 | −0.0398532 | ||||||||
\(825\) | 1.40571 | + | 4.32728i | 0.0489406 | + | 0.150657i | ||||
\(826\) | −26.0953 | − | 10.0228i | −0.907971 | − | 0.348736i | ||||
\(827\) | −12.3593 | + | 1.95753i | −0.429777 | + | 0.0680699i | −0.367575 | − | 0.929994i | \(-0.619812\pi\) |
−0.0622011 | + | 0.998064i | \(0.519812\pi\) | |||||||
\(828\) | 26.8430 | − | 52.6823i | 0.932858 | − | 1.83084i | ||||
\(829\) | −7.82434 | − | 24.0808i | −0.271750 | − | 0.836362i | −0.990061 | − | 0.140639i | \(-0.955084\pi\) |
0.718310 | − | 0.695723i | \(-0.244916\pi\) | |||||||
\(830\) | −2.35258 | − | 3.83933i | −0.0816592 | − | 0.133265i | ||||
\(831\) | −2.29476 | − | 0.745612i | −0.0796042 | − | 0.0258650i | ||||
\(832\) | −9.13385 | − | 9.13385i | −0.316659 | − | 0.316659i | ||||
\(833\) | 13.6530 | − | 50.8761i | 0.473050 | − | 1.76275i | ||||
\(834\) | −1.32407 | − | 1.82242i | −0.0458487 | − | 0.0631053i | ||||
\(835\) | −33.1743 | + | 13.7400i | −1.14804 | + | 0.475492i | ||||
\(836\) | −65.0048 | + | 89.4715i | −2.24824 | + | 3.09444i | ||||
\(837\) | −0.385434 | + | 2.43353i | −0.0133225 | + | 0.0841152i | ||||
\(838\) | 13.5925 | − | 85.8198i | 0.469546 | − | 2.96460i | ||||
\(839\) | 45.7909 | + | 33.2690i | 1.58088 | + | 1.14857i | 0.915681 | + | 0.401907i | \(0.131652\pi\) |
0.665197 | + | 0.746668i | \(0.268348\pi\) | |||||||
\(840\) | 2.10311 | + | 5.94321i | 0.0725642 | + | 0.205060i | ||||
\(841\) | −21.5905 | + | 15.6864i | −0.744501 | + | 0.540911i | ||||
\(842\) | 12.2638 | + | 24.0691i | 0.422638 | + | 0.829475i | ||||
\(843\) | 2.78170 | − | 2.78170i | 0.0958068 | − | 0.0958068i | ||||
\(844\) | 61.6088 | + | 20.0179i | 2.12066 | + | 0.689045i | ||||
\(845\) | −19.3983 | − | 8.03575i | −0.667321 | − | 0.276438i | ||||
\(846\) | 61.7300 | − | 20.0573i | 2.12232 | − | 0.689584i | ||||
\(847\) | −16.6920 | + | 15.0238i | −0.573545 | + | 0.516224i | ||||
\(848\) | −1.76886 | − | 11.1681i | −0.0607429 | − | 0.383516i | ||||
\(849\) | − | 2.15973i | − | 0.0741217i | ||||||
\(850\) | 82.7634 | − | 42.1634i | 2.83876 | − | 1.44619i | ||||
\(851\) | 19.5176 | 0.669053 | ||||||||
\(852\) | 0.513763 | + | 3.24377i | 0.0176012 | + | 0.111130i | ||||
\(853\) | 36.9947 | + | 18.8497i | 1.26667 | + | 0.645402i | 0.952666 | − | 0.304019i | \(-0.0983286\pi\) |
0.314007 | + | 0.949421i | \(0.398329\pi\) | |||||||
\(854\) | −34.9734 | − | 1.83957i | −1.19676 | − | 0.0629488i | ||||
\(855\) | −39.3482 | + | 9.44534i | −1.34568 | + | 0.323024i | ||||
\(856\) | 11.9335 | − | 36.7276i | 0.407880 | − | 1.25532i | ||||
\(857\) | 4.42430 | + | 4.42430i | 0.151131 | + | 0.151131i | 0.778623 | − | 0.627492i | \(-0.215918\pi\) |
−0.627492 | + | 0.778623i | \(0.715918\pi\) | |||||||
\(858\) | 3.80292 | − | 1.93768i | 0.129829 | − | 0.0661514i | ||||
\(859\) | 0.0963348 | − | 0.0699913i | 0.00328690 | − | 0.00238807i | −0.586141 | − | 0.810209i | \(-0.699353\pi\) |
0.589427 | + | 0.807821i | \(0.299353\pi\) | |||||||
\(860\) | −8.53692 | − | 5.23180i | −0.291106 | − | 0.178403i | ||||
\(861\) | −3.65441 | + | 2.37221i | −0.124542 | + | 0.0808447i | ||||
\(862\) | 5.27068 | − | 33.2778i | 0.179520 | − | 1.13345i | ||||
\(863\) | 31.3863 | + | 4.97111i | 1.06840 | + | 0.169218i | 0.665781 | − | 0.746147i | \(-0.268099\pi\) |
0.402623 | + | 0.915366i | \(0.368099\pi\) | |||||||
\(864\) | 0.945280 | + | 0.686786i | 0.0321591 | + | 0.0233649i | ||||
\(865\) | 23.8453 | − | 1.87590i | 0.810765 | − | 0.0637825i | ||||
\(866\) | −18.8217 | − | 25.9059i | −0.639589 | − | 0.880318i | ||||
\(867\) | 7.27832 | − | 3.70849i | 0.247185 | − | 0.125947i | ||||
\(868\) | −8.83582 | − | 19.8558i | −0.299907 | − | 0.673949i | ||||
\(869\) | −46.0183 | − | 14.9523i | −1.56107 | − | 0.507221i | ||||
\(870\) | −1.72504 | − | 0.135819i | −0.0584843 | − | 0.00460470i | ||||
\(871\) | 9.78736 | − | 3.18011i | 0.331632 | − | 0.107754i | ||||
\(872\) | 35.5669 | + | 18.1222i | 1.20445 | + | 0.613696i | ||||
\(873\) | −8.86391 | + | 1.40391i | −0.299998 | + | 0.0475150i | ||||
\(874\) | 73.7616 | 2.49502 | ||||||||
\(875\) | −5.38226 | − | 29.0866i | −0.181954 | − | 0.983307i | ||||
\(876\) | 0.670528 | 0.0226550 | ||||||||
\(877\) | −28.9141 | + | 4.57954i | −0.976358 | + | 0.154640i | −0.624169 | − | 0.781289i | \(-0.714563\pi\) |
−0.352189 | + | 0.935929i | \(0.614563\pi\) | |||||||
\(878\) | −2.49536 | − | 1.27145i | −0.0842145 | − | 0.0429094i | ||||
\(879\) | 3.87861 | − | 1.26024i | 0.130822 | − | 0.0425068i | ||||
\(880\) | −45.0087 | − | 3.54371i | −1.51724 | − | 0.119458i | ||||
\(881\) | 4.74906 | + | 1.54306i | 0.160000 | + | 0.0519871i | 0.387922 | − | 0.921692i | \(-0.373193\pi\) |
−0.227922 | + | 0.973679i | \(0.573193\pi\) | |||||||
\(882\) | −51.0380 | + | 2.65525i | −1.71854 | + | 0.0894069i | ||||
\(883\) | −7.05653 | + | 3.59548i | −0.237471 | + | 0.120998i | −0.568677 | − | 0.822561i | \(-0.692545\pi\) |
0.331206 | + | 0.943559i | \(0.392545\pi\) | |||||||
\(884\) | −34.4071 | − | 47.3573i | −1.15724 | − | 1.59280i | ||||
\(885\) | −1.96665 | + | 0.154715i | −0.0661081 | + | 0.00520069i | ||||
\(886\) | 39.4014 | + | 28.6268i | 1.32371 | + | 0.961735i | ||||
\(887\) | 17.9684 | + | 2.84592i | 0.603321 | + | 0.0955566i | 0.450620 | − | 0.892716i | \(-0.351203\pi\) |
0.152701 | + | 0.988272i | \(0.451203\pi\) | |||||||
\(888\) | −0.666299 | + | 4.20685i | −0.0223595 | + | 0.141173i | ||||
\(889\) | 16.3871 | + | 25.2445i | 0.549606 | + | 0.846672i | ||||
\(890\) | 27.0942 | + | 16.6046i | 0.908201 | + | 0.556586i | ||||
\(891\) | −30.7836 | + | 22.3656i | −1.03129 | + | 0.749276i | ||||
\(892\) | 51.8773 | − | 26.4328i | 1.73698 | − | 0.885037i | ||||
\(893\) | 38.4655 | + | 38.4655i | 1.28720 | + | 1.28720i | ||||
\(894\) | 0.835975 | − | 2.57287i | 0.0279592 | − | 0.0860495i | ||||
\(895\) | −4.59340 | + | 1.10262i | −0.153540 | + | 0.0368566i | ||||
\(896\) | 49.3706 | + | 2.59685i | 1.64936 | + | 0.0867548i | ||||
\(897\) | −1.70400 | − | 0.868233i | −0.0568950 | − | 0.0289895i | ||||
\(898\) | −5.59602 | − | 35.3319i | −0.186742 | − | 1.17904i | ||||
\(899\) | 3.05115 | 0.101762 | ||||||||
\(900\) | −42.8071 | − | 42.8126i | −1.42690 | − | 1.42709i | ||||
\(901\) | 18.6042i | 0.619794i | ||||||||
\(902\) | −13.6192 | − | 85.9884i | −0.453470 | − | 2.86310i | ||||
\(903\) | −0.443341 | + | 0.399033i | −0.0147535 | + | 0.0132790i | ||||
\(904\) | −39.6792 | + | 12.8925i | −1.31971 | + | 0.428800i | ||||
\(905\) | 47.5535 | + | 19.6991i | 1.58073 | + | 0.654819i | ||||
\(906\) | −6.05428 | − | 1.96716i | −0.201140 | − | 0.0653544i | ||||
\(907\) | 24.8734 | − | 24.8734i | 0.825908 | − | 0.825908i | −0.161040 | − | 0.986948i | \(-0.551485\pi\) |
0.986948 | + | 0.161040i | \(0.0514849\pi\) | |||||||
\(908\) | −9.58521 | − | 18.8120i | −0.318096 | − | 0.624299i | ||||
\(909\) | −21.6592 | + | 15.7364i | −0.718392 | + | 0.521942i | ||||
\(910\) | −26.1590 | + | 9.25683i | −0.867162 | + | 0.306861i | ||||
\(911\) | −27.2719 | − | 19.8142i | −0.903558 | − | 0.656473i | 0.0358197 | − | 0.999358i | \(-0.488596\pi\) |
−0.939377 | + | 0.342885i | \(0.888596\pi\) | |||||||
\(912\) | −0.902452 | + | 5.69786i | −0.0298832 | + | 0.188675i | ||||
\(913\) | 0.563324 | − | 3.55669i | 0.0186433 | − | 0.117709i | ||||
\(914\) | −9.07642 | + | 12.4926i | −0.300221 | + | 0.413219i | ||||
\(915\) | −2.28340 | + | 0.945731i | −0.0754870 | + | 0.0312649i | ||||
\(916\) | 10.3755 | + | 14.2806i | 0.342815 | + | 0.471844i | ||||
\(917\) | 1.19352 | + | 11.3764i | 0.0394134 | + | 0.375683i | ||||
\(918\) | −16.1312 | − | 16.1312i | −0.532410 | − | 0.532410i | ||||
\(919\) | −13.9765 | − | 4.54122i | −0.461041 | − | 0.149801i | 0.0692820 | − | 0.997597i | \(-0.477929\pi\) |
−0.530323 | + | 0.847796i | \(0.677929\pi\) | |||||||
\(920\) | 29.4920 | + | 48.1301i | 0.972323 | + | 1.58680i | ||||
\(921\) | 1.91856 | + | 5.90473i | 0.0632188 | + | 0.194568i | ||||
\(922\) | 6.02968 | − | 11.8339i | 0.198577 | − | 0.389729i | ||||
\(923\) | −7.30287 | + | 1.15666i | −0.240377 | + | 0.0380719i | ||||
\(924\) | −3.53416 | + | 9.20156i | −0.116265 | + | 0.302709i | ||||
\(925\) | 6.17687 | − | 19.0063i | 0.203094 | − | 0.624923i | ||||
\(926\) | −60.9128 | −2.00172 | ||||||||
\(927\) | −0.102382 | − | 0.646414i | −0.00336266 | − | 0.0212310i | ||||
\(928\) | 0.656894 | − | 1.28923i | 0.0215636 | − | 0.0423210i | ||||
\(929\) | −4.05750 | − | 12.4877i | −0.133122 | − | 0.409708i | 0.862171 | − | 0.506617i | \(-0.169104\pi\) |
−0.995293 | + | 0.0969092i | \(0.969104\pi\) | |||||||
\(930\) | −1.73591 | − | 1.48270i | −0.0569228 | − | 0.0486198i | ||||
\(931\) | −21.4023 | − | 37.1025i | −0.701431 | − | 1.21599i | ||||
\(932\) | 34.8611 | − | 34.8611i | 1.14191 | − | 1.14191i | ||||
\(933\) | −4.73829 | + | 2.41428i | −0.155125 | + | 0.0790399i | ||||
\(934\) | −17.7883 | + | 12.9240i | −0.582051 | + | 0.422885i | ||||
\(935\) | 72.2296 | + | 17.3432i | 2.36216 | + | 0.567184i | ||||
\(936\) | −17.0749 | + | 23.5015i | −0.558109 | + | 0.768171i | ||||
\(937\) | −12.5937 | − | 1.99465i | −0.411418 | − | 0.0651622i | −0.0527051 | − | 0.998610i | \(-0.516784\pi\) |
−0.358713 | + | 0.933448i | \(0.616784\pi\) | |||||||
\(938\) | −17.6941 | + | 30.6335i | −0.577732 | + | 1.00022i | ||||
\(939\) | −1.98758 | + | 2.73567i | −0.0648623 | + | 0.0892753i | ||||
\(940\) | −19.0020 | + | 79.1377i | −0.619776 | + | 2.58119i | ||||
\(941\) | 22.2067 | + | 30.5649i | 0.723917 | + | 0.996386i | 0.999385 | + | 0.0350759i | \(0.0111673\pi\) |
−0.275468 | + | 0.961310i | \(0.588833\pi\) | |||||||
\(942\) | −1.33355 | − | 2.61724i | −0.0434495 | − | 0.0852744i | ||||
\(943\) | −27.5841 | + | 27.5841i | −0.898261 | + | 0.898261i | ||||
\(944\) | 6.04905 | − | 18.6171i | 0.196880 | − | 0.605933i | ||||
\(945\) | −6.38549 | + | 3.46520i | −0.207720 | + | 0.112723i | ||||
\(946\) | −3.68315 | − | 11.3356i | −0.119750 | − | 0.368552i | ||||
\(947\) | 14.2973 | + | 7.28482i | 0.464599 | + | 0.236725i | 0.670589 | − | 0.741829i | \(-0.266042\pi\) |
−0.205990 | + | 0.978554i | \(0.566042\pi\) | |||||||
\(948\) | −9.13622 | + | 1.44703i | −0.296731 | + | 0.0469975i | ||||
\(949\) | 1.50959i | 0.0490034i | ||||||||
\(950\) | 23.3439 | − | 71.8295i | 0.757376 | − | 2.33046i | ||||
\(951\) | 5.71766i | 0.185408i | ||||||||
\(952\) | 100.673 | + | 21.4189i | 3.26284 | + | 0.694190i | ||||
\(953\) | 10.1160 | − | 19.8538i | 0.327691 | − | 0.643129i | −0.667111 | − | 0.744958i | \(-0.732470\pi\) |
0.994802 | + | 0.101829i | \(0.0324695\pi\) | |||||||
\(954\) | 17.1665 | − | 5.57774i | 0.555786 | − | 0.180586i | ||||
\(955\) | −24.9793 | + | 15.3062i | −0.808310 | + | 0.495297i | ||||
\(956\) | −16.5442 | + | 50.9177i | −0.535076 | + | 1.64680i | ||||
\(957\) | −0.978520 | − | 0.978520i | −0.0316311 | − | 0.0316311i | ||||
\(958\) | −14.8444 | − | 29.1338i | −0.479602 | − | 0.941272i | ||||
\(959\) | −43.5743 | + | 11.6668i | −1.40709 | + | 0.376740i | ||||
\(960\) | 2.89514 | − | 1.19910i | 0.0934402 | − | 0.0387007i | ||||
\(961\) | −21.8229 | − | 15.8552i | −0.703963 | − | 0.511459i | ||||
\(962\) | −18.5164 | − | 2.93271i | −0.596993 | − | 0.0945544i | ||||
\(963\) | 21.8208 | + | 3.45608i | 0.703166 | + | 0.111370i | ||||
\(964\) | 81.8253 | + | 59.4496i | 2.63542 | + | 1.91474i | ||||
\(965\) | −14.5020 | − | 16.9807i | −0.466835 | − | 0.546629i | ||||
\(966\) | 6.35054 | − | 1.70032i | 0.204325 | − | 0.0547070i | ||||
\(967\) | −18.0398 | − | 35.4051i | −0.580121 | − | 1.13855i | −0.975493 | − | 0.220030i | \(-0.929384\pi\) |
0.395372 | − | 0.918521i | \(-0.370616\pi\) | |||||||
\(968\) | −31.0284 | − | 31.0284i | −0.997291 | − | 0.997291i | ||||
\(969\) | 2.93307 | − | 9.02707i | 0.0942239 | − | 0.289991i | ||||
\(970\) | 6.41053 | − | 15.4750i | 0.205830 | − | 0.496872i | ||||
\(971\) | 27.1538 | − | 8.82281i | 0.871407 | − | 0.283137i | 0.161022 | − | 0.986951i | \(-0.448521\pi\) |
0.710385 | + | 0.703813i | \(0.248521\pi\) | |||||||
\(972\) | −10.1500 | + | 19.9206i | −0.325562 | + | 0.638952i | ||||
\(973\) | −2.43729 | + | 11.4558i | −0.0781361 | + | 0.367257i | ||||
\(974\) | 42.8176i | 1.37197i | ||||||||
\(975\) | −1.38477 | + | 1.38459i | −0.0443481 | + | 0.0443424i | ||||
\(976\) | − | 24.5245i | − | 0.785010i | ||||||
\(977\) | 48.3318 | − | 7.65500i | 1.54627 | − | 0.244905i | 0.675785 | − | 0.737099i | \(-0.263805\pi\) |
0.870486 | + | 0.492194i | \(0.163805\pi\) | |||||||
\(978\) | 7.79698 | + | 3.97276i | 0.249320 | + | 0.127035i | ||||
\(979\) | 7.85318 | + | 24.1696i | 0.250989 | + | 0.772464i | ||||
\(980\) | 30.6013 | − | 56.3050i | 0.977522 | − | 1.79860i | ||||
\(981\) | −7.05686 | + | 21.7188i | −0.225308 | + | 0.693427i | ||||
\(982\) | 2.56484 | − | 2.56484i | 0.0818472 | − | 0.0818472i | ||||
\(983\) | −13.5238 | − | 26.5420i | −0.431344 | − | 0.846559i | −0.999717 | − | 0.0237886i | \(-0.992427\pi\) |
0.568374 | − | 0.822771i | \(-0.307573\pi\) | |||||||
\(984\) | −5.00384 | − | 6.88719i | −0.159517 | − | 0.219556i | ||||
\(985\) | 0.674334 | + | 0.413262i | 0.0214861 | + | 0.0131676i | ||||
\(986\) | −16.6053 | + | 22.8552i | −0.528821 | + | 0.727859i | ||||
\(987\) | 4.19840 | + | 2.42502i | 0.133637 | + | 0.0771891i | ||||
\(988\) | −47.0123 | − | 7.44602i | −1.49566 | − | 0.236890i | ||||
\(989\) | −3.13913 | + | 4.32065i | −0.0998187 | + | 0.137389i | ||||
\(990\) | −5.65223 | − | 71.8477i | −0.179640 | − | 2.28347i | ||||
\(991\) | 29.6993 | − | 21.5778i | 0.943431 | − | 0.685443i | −0.00581317 | − | 0.999983i | \(-0.501850\pi\) |
0.949244 | + | 0.314540i | \(0.101850\pi\) | |||||||
\(992\) | 1.70091 | − | 0.866659i | 0.0540041 | − | 0.0275165i | ||||
\(993\) | 0.574152 | − | 0.574152i | 0.0182202 | − | 0.0182202i | ||||
\(994\) | 15.9994 | − | 19.7499i | 0.507469 | − | 0.626428i | ||||
\(995\) | 21.2122 | + | 1.67012i | 0.672471 | + | 0.0529462i | ||||
\(996\) | −0.212731 | − | 0.654717i | −0.00674062 | − | 0.0207455i | ||||
\(997\) | −19.4930 | + | 38.2572i | −0.617350 | + | 1.21162i | 0.344692 | + | 0.938716i | \(0.387983\pi\) |
−0.962042 | + | 0.272902i | \(0.912017\pi\) | |||||||
\(998\) | −7.23893 | − | 45.7048i | −0.229144 | − | 1.44676i | ||||
\(999\) | −4.90840 | −0.155295 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 175.2.s.a.13.2 | yes | 144 | |
5.2 | odd | 4 | 875.2.s.b.832.2 | 144 | |||
5.3 | odd | 4 | 875.2.s.a.832.17 | 144 | |||
5.4 | even | 2 | 875.2.s.c.293.17 | 144 | |||
7.6 | odd | 2 | inner | 175.2.s.a.13.1 | ✓ | 144 | |
25.2 | odd | 20 | inner | 175.2.s.a.27.1 | yes | 144 | |
25.11 | even | 5 | 875.2.s.b.468.1 | 144 | |||
25.14 | even | 10 | 875.2.s.a.468.18 | 144 | |||
25.23 | odd | 20 | 875.2.s.c.657.18 | 144 | |||
35.13 | even | 4 | 875.2.s.a.832.18 | 144 | |||
35.27 | even | 4 | 875.2.s.b.832.1 | 144 | |||
35.34 | odd | 2 | 875.2.s.c.293.18 | 144 | |||
175.27 | even | 20 | inner | 175.2.s.a.27.2 | yes | 144 | |
175.48 | even | 20 | 875.2.s.c.657.17 | 144 | |||
175.111 | odd | 10 | 875.2.s.b.468.2 | 144 | |||
175.139 | odd | 10 | 875.2.s.a.468.17 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.s.a.13.1 | ✓ | 144 | 7.6 | odd | 2 | inner | |
175.2.s.a.13.2 | yes | 144 | 1.1 | even | 1 | trivial | |
175.2.s.a.27.1 | yes | 144 | 25.2 | odd | 20 | inner | |
175.2.s.a.27.2 | yes | 144 | 175.27 | even | 20 | inner | |
875.2.s.a.468.17 | 144 | 175.139 | odd | 10 | |||
875.2.s.a.468.18 | 144 | 25.14 | even | 10 | |||
875.2.s.a.832.17 | 144 | 5.3 | odd | 4 | |||
875.2.s.a.832.18 | 144 | 35.13 | even | 4 | |||
875.2.s.b.468.1 | 144 | 25.11 | even | 5 | |||
875.2.s.b.468.2 | 144 | 175.111 | odd | 10 | |||
875.2.s.b.832.1 | 144 | 35.27 | even | 4 | |||
875.2.s.b.832.2 | 144 | 5.2 | odd | 4 | |||
875.2.s.c.293.17 | 144 | 5.4 | even | 2 | |||
875.2.s.c.293.18 | 144 | 35.34 | odd | 2 | |||
875.2.s.c.657.17 | 144 | 175.48 | even | 20 | |||
875.2.s.c.657.18 | 144 | 25.23 | odd | 20 |