Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(11,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 21, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.w (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 35.4 | ||
Character | \(\chi\) | \(=\) | 384.35 |
Dual form | 384.2.w.a.11.4 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{32}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39869 | + | 0.208968i | −0.989023 | + | 0.147763i | ||||
\(3\) | −0.339181 | − | 1.69852i | −0.195826 | − | 0.980639i | ||||
\(4\) | 1.91266 | − | 0.584564i | 0.956332 | − | 0.292282i | ||||
\(5\) | −0.321371 | + | 0.171776i | −0.143721 | + | 0.0768207i | −0.541690 | − | 0.840578i | \(-0.682215\pi\) |
0.397969 | + | 0.917399i | \(0.369715\pi\) | |||||||
\(6\) | 0.829345 | + | 2.30482i | 0.338579 | + | 0.940938i | ||||
\(7\) | −1.36158 | + | 0.270834i | −0.514627 | + | 0.102366i | −0.445570 | − | 0.895247i | \(-0.646999\pi\) |
−0.0690570 | + | 0.997613i | \(0.521999\pi\) | |||||||
\(8\) | −2.55307 | + | 1.21731i | −0.902646 | + | 0.430384i | ||||
\(9\) | −2.76991 | + | 1.15221i | −0.923304 | + | 0.384070i | ||||
\(10\) | 0.413602 | − | 0.307418i | 0.130792 | − | 0.0972141i | ||||
\(11\) | −0.181039 | − | 0.148575i | −0.0545853 | − | 0.0447970i | 0.606705 | − | 0.794927i | \(-0.292491\pi\) |
−0.661290 | + | 0.750130i | \(0.729991\pi\) | |||||||
\(12\) | −1.64163 | − | 3.05042i | −0.473898 | − | 0.880580i | ||||
\(13\) | −2.85114 | − | 1.52396i | −0.790763 | − | 0.422672i | 0.0259877 | − | 0.999662i | \(-0.491727\pi\) |
−0.816751 | + | 0.576991i | \(0.804227\pi\) | |||||||
\(14\) | 1.84783 | − | 0.663339i | 0.493852 | − | 0.177285i | ||||
\(15\) | 0.400768 | + | 0.487590i | 0.103478 | + | 0.125895i | ||||
\(16\) | 3.31657 | − | 2.23615i | 0.829143 | − | 0.559037i | ||||
\(17\) | −5.78209 | − | 2.39502i | −1.40236 | − | 0.580878i | −0.451999 | − | 0.892019i | \(-0.649289\pi\) |
−0.950364 | + | 0.311141i | \(0.899289\pi\) | |||||||
\(18\) | 3.63347 | − | 2.19041i | 0.856417 | − | 0.516284i | ||||
\(19\) | 1.97671 | + | 6.51633i | 0.453487 | + | 1.49495i | 0.824253 | + | 0.566221i | \(0.191595\pi\) |
−0.370766 | + | 0.928726i | \(0.620905\pi\) | |||||||
\(20\) | −0.514260 | + | 0.516412i | −0.114992 | + | 0.115473i | ||||
\(21\) | 0.921837 | + | 2.22080i | 0.201161 | + | 0.484617i | ||||
\(22\) | 0.284265 | + | 0.169979i | 0.0606055 | + | 0.0362396i | ||||
\(23\) | 4.20927 | − | 2.81254i | 0.877694 | − | 0.586456i | −0.0330384 | − | 0.999454i | \(-0.510518\pi\) |
0.910732 | + | 0.412998i | \(0.135518\pi\) | |||||||
\(24\) | 2.93357 | + | 3.92354i | 0.598813 | + | 0.800889i | ||||
\(25\) | −2.70408 | + | 4.04694i | −0.540816 | + | 0.809388i | ||||
\(26\) | 4.30632 | + | 1.53576i | 0.844538 | + | 0.301186i | ||||
\(27\) | 2.89655 | + | 4.31393i | 0.557441 | + | 0.830216i | ||||
\(28\) | −2.44592 | + | 1.31394i | −0.462235 | + | 0.248312i | ||||
\(29\) | −6.21541 | + | 5.10086i | −1.15417 | + | 0.947205i | −0.999171 | − | 0.0407087i | \(-0.987038\pi\) |
−0.155002 | + | 0.987914i | \(0.549538\pi\) | |||||||
\(30\) | −0.662440 | − | 0.598239i | −0.120945 | − | 0.109223i | ||||
\(31\) | −4.89115 | − | 4.89115i | −0.878476 | − | 0.878476i | 0.114901 | − | 0.993377i | \(-0.463345\pi\) |
−0.993377 | + | 0.114901i | \(0.963345\pi\) | |||||||
\(32\) | −4.17157 | + | 3.82073i | −0.737436 | + | 0.675417i | ||||
\(33\) | −0.190952 | + | 0.357892i | −0.0332404 | + | 0.0623009i | ||||
\(34\) | 8.58783 | + | 2.14162i | 1.47280 | + | 0.367284i | ||||
\(35\) | 0.391048 | − | 0.320925i | 0.0660991 | − | 0.0542462i | ||||
\(36\) | −4.62437 | + | 3.82298i | −0.770729 | + | 0.637163i | ||||
\(37\) | 0.879289 | − | 2.89863i | 0.144554 | − | 0.476531i | −0.854526 | − | 0.519408i | \(-0.826152\pi\) |
0.999080 | + | 0.0428770i | \(0.0136524\pi\) | |||||||
\(38\) | −4.12650 | − | 8.70125i | −0.669407 | − | 1.41153i | ||||
\(39\) | −1.62143 | + | 5.35960i | −0.259636 | + | 0.858223i | ||||
\(40\) | 0.611377 | − | 0.829764i | 0.0966672 | − | 0.131197i | ||||
\(41\) | −0.650342 | + | 0.434545i | −0.101566 | + | 0.0678645i | −0.605316 | − | 0.795985i | \(-0.706953\pi\) |
0.503750 | + | 0.863850i | \(0.331953\pi\) | |||||||
\(42\) | −1.75344 | − | 2.91357i | −0.270562 | − | 0.449574i | ||||
\(43\) | 0.655730 | + | 6.65774i | 0.0999978 | + | 1.01530i | 0.905970 | + | 0.423342i | \(0.139143\pi\) |
−0.805972 | + | 0.591953i | \(0.798357\pi\) | |||||||
\(44\) | −0.433119 | − | 0.178345i | −0.0652951 | − | 0.0268865i | ||||
\(45\) | 0.692246 | − | 0.846092i | 0.103194 | − | 0.126128i | ||||
\(46\) | −5.29973 | + | 4.81348i | −0.781402 | + | 0.709709i | ||||
\(47\) | −3.86428 | − | 1.60064i | −0.563663 | − | 0.233477i | 0.0826114 | − | 0.996582i | \(-0.473674\pi\) |
−0.646275 | + | 0.763105i | \(0.723674\pi\) | |||||||
\(48\) | −4.92305 | − | 4.87479i | −0.710581 | − | 0.703615i | ||||
\(49\) | −4.68662 | + | 1.94126i | −0.669517 | + | 0.277323i | ||||
\(50\) | 2.93648 | − | 6.22548i | 0.415282 | − | 0.880416i | ||||
\(51\) | −2.10680 | + | 10.6333i | −0.295011 | + | 1.48896i | ||||
\(52\) | −6.34412 | − | 1.24816i | −0.879771 | − | 0.173089i | ||||
\(53\) | −3.87295 | − | 3.17844i | −0.531990 | − | 0.436593i | 0.329657 | − | 0.944101i | \(-0.393067\pi\) |
−0.861647 | + | 0.507508i | \(0.830567\pi\) | |||||||
\(54\) | −4.95285 | − | 5.42856i | −0.673997 | − | 0.738734i | ||||
\(55\) | 0.0837023 | + | 0.0166494i | 0.0112864 | + | 0.00224501i | ||||
\(56\) | 3.14651 | − | 2.34892i | 0.420470 | − | 0.313887i | ||||
\(57\) | 10.3976 | − | 5.56768i | 1.37720 | − | 0.737458i | ||||
\(58\) | 7.62751 | − | 8.43334i | 1.00154 | − | 1.10735i | ||||
\(59\) | 0.638190 | − | 0.341120i | 0.0830853 | − | 0.0444100i | −0.429331 | − | 0.903147i | \(-0.641251\pi\) |
0.512416 | + | 0.858737i | \(0.328751\pi\) | |||||||
\(60\) | 1.05156 | + | 0.698322i | 0.135756 | + | 0.0901530i | ||||
\(61\) | −0.446058 | + | 4.52890i | −0.0571118 | + | 0.579866i | 0.923459 | + | 0.383698i | \(0.125350\pi\) |
−0.980570 | + | 0.196168i | \(0.937150\pi\) | |||||||
\(62\) | 7.86329 | + | 5.81910i | 0.998639 | + | 0.739026i | ||||
\(63\) | 3.45939 | − | 2.31901i | 0.435842 | − | 0.292168i | ||||
\(64\) | 5.03632 | − | 6.21575i | 0.629540 | − | 0.776968i | ||||
\(65\) | 1.17805 | 0.146119 | ||||||||
\(66\) | 0.192294 | − | 0.540482i | 0.0236698 | − | 0.0665287i | ||||
\(67\) | −3.71202 | − | 0.365602i | −0.453495 | − | 0.0446654i | −0.131309 | − | 0.991342i | \(-0.541918\pi\) |
−0.322187 | + | 0.946676i | \(0.604418\pi\) | |||||||
\(68\) | −12.4592 | − | 1.20087i | −1.51090 | − | 0.145627i | ||||
\(69\) | −6.20486 | − | 6.19555i | −0.746977 | − | 0.745857i | ||||
\(70\) | −0.479891 | + | 0.530590i | −0.0573580 | + | 0.0634177i | ||||
\(71\) | 14.2521 | − | 2.83492i | 1.69141 | − | 0.336443i | 0.746905 | − | 0.664930i | \(-0.231539\pi\) |
0.944508 | + | 0.328487i | \(0.106539\pi\) | |||||||
\(72\) | 5.66918 | − | 6.31351i | 0.668119 | − | 0.744054i | ||||
\(73\) | 0.725080 | − | 3.64522i | 0.0848642 | − | 0.426641i | −0.914874 | − | 0.403740i | \(-0.867710\pi\) |
0.999738 | − | 0.0229006i | \(-0.00729011\pi\) | |||||||
\(74\) | −0.624131 | + | 4.23802i | −0.0725537 | + | 0.492660i | ||||
\(75\) | 7.79097 | + | 3.22027i | 0.899623 | + | 0.371845i | ||||
\(76\) | 7.58998 | + | 11.3080i | 0.870631 | + | 1.29712i | ||||
\(77\) | 0.286738 | + | 0.153264i | 0.0326768 | + | 0.0174661i | ||||
\(78\) | 1.14788 | − | 7.83524i | 0.129972 | − | 0.887167i | ||||
\(79\) | −3.36193 | − | 8.11643i | −0.378247 | − | 0.913170i | −0.992295 | − | 0.123900i | \(-0.960460\pi\) |
0.614047 | − | 0.789269i | \(-0.289540\pi\) | |||||||
\(80\) | −0.681732 | + | 1.28834i | −0.0762199 | + | 0.144041i | ||||
\(81\) | 6.34482 | − | 6.38304i | 0.704981 | − | 0.709227i | ||||
\(82\) | 0.818821 | − | 0.743694i | 0.0904236 | − | 0.0821273i | ||||
\(83\) | −2.76955 | − | 9.12998i | −0.303998 | − | 1.00215i | −0.967266 | − | 0.253764i | \(-0.918331\pi\) |
0.663268 | − | 0.748382i | \(-0.269169\pi\) | |||||||
\(84\) | 3.06136 | + | 3.70877i | 0.334022 | + | 0.404659i | ||||
\(85\) | 2.26960 | − | 0.223536i | 0.246173 | − | 0.0242459i | ||||
\(86\) | −2.30842 | − | 9.17508i | −0.248923 | − | 0.989374i | ||||
\(87\) | 10.7720 | + | 8.82686i | 1.15488 | + | 0.946339i | ||||
\(88\) | 0.643067 | + | 0.158941i | 0.0685512 | + | 0.0169432i | ||||
\(89\) | −5.05079 | + | 7.55905i | −0.535383 | + | 0.801258i | −0.996278 | − | 0.0861972i | \(-0.972528\pi\) |
0.460895 | + | 0.887455i | \(0.347528\pi\) | |||||||
\(90\) | −0.791431 | + | 1.32808i | −0.0834242 | + | 0.139992i | ||||
\(91\) | 4.29478 | + | 1.30281i | 0.450215 | + | 0.136571i | ||||
\(92\) | 6.40681 | − | 7.84004i | 0.667956 | − | 0.817381i | ||||
\(93\) | −6.64870 | + | 9.96667i | −0.689438 | + | 1.03350i | ||||
\(94\) | 5.73941 | + | 1.43128i | 0.591975 | + | 0.147626i | ||||
\(95\) | −1.75461 | − | 1.75461i | −0.180019 | − | 0.180019i | ||||
\(96\) | 7.90450 | + | 5.78955i | 0.806749 | + | 0.590894i | ||||
\(97\) | 8.99316 | − | 8.99316i | 0.913117 | − | 0.913117i | −0.0833995 | − | 0.996516i | \(-0.526578\pi\) |
0.996516 | + | 0.0833995i | \(0.0265778\pi\) | |||||||
\(98\) | 6.14946 | − | 3.69458i | 0.621190 | − | 0.373209i | ||||
\(99\) | 0.672652 | + | 0.202944i | 0.0676041 | + | 0.0203967i | ||||
\(100\) | −2.80630 | + | 9.32115i | −0.280630 | + | 0.932115i | ||||
\(101\) | 4.31870 | − | 14.2368i | 0.429727 | − | 1.41662i | −0.428590 | − | 0.903499i | \(-0.640989\pi\) |
0.858317 | − | 0.513120i | \(-0.171511\pi\) | |||||||
\(102\) | 0.724735 | − | 15.3130i | 0.0717595 | − | 1.51621i | ||||
\(103\) | −6.63465 | − | 4.43313i | −0.653731 | − | 0.436809i | 0.183975 | − | 0.982931i | \(-0.441104\pi\) |
−0.837706 | + | 0.546122i | \(0.816104\pi\) | |||||||
\(104\) | 9.13428 | + | 0.420070i | 0.895690 | + | 0.0411913i | ||||
\(105\) | −0.677732 | − | 0.555349i | −0.0661398 | − | 0.0541965i | ||||
\(106\) | 6.08124 | + | 3.63633i | 0.590663 | + | 0.353192i | ||||
\(107\) | 1.39310 | + | 14.1444i | 0.134676 | + | 1.36739i | 0.790494 | + | 0.612470i | \(0.209824\pi\) |
−0.655817 | + | 0.754919i | \(0.727676\pi\) | |||||||
\(108\) | 8.06189 | + | 6.55789i | 0.775756 | + | 0.631033i | ||||
\(109\) | −0.534798 | + | 0.162229i | −0.0512243 | + | 0.0155387i | −0.315793 | − | 0.948828i | \(-0.602270\pi\) |
0.264569 | + | 0.964367i | \(0.414770\pi\) | |||||||
\(110\) | −0.120553 | − | 0.00579625i | −0.0114943 | − | 0.000552650i | ||||
\(111\) | −5.22160 | − | 0.510326i | −0.495613 | − | 0.0484380i | ||||
\(112\) | −3.91014 | + | 3.94293i | −0.369473 | + | 0.372571i | ||||
\(113\) | −2.24751 | + | 0.930950i | −0.211428 | + | 0.0875764i | −0.485884 | − | 0.874023i | \(-0.661502\pi\) |
0.274456 | + | 0.961600i | \(0.411502\pi\) | |||||||
\(114\) | −13.3796 | + | 9.96023i | −1.25311 | + | 0.932861i | ||||
\(115\) | −0.869608 | + | 1.62692i | −0.0810914 | + | 0.151711i | ||||
\(116\) | −8.90622 | + | 13.3895i | −0.826922 | + | 1.24319i | ||||
\(117\) | 9.65332 | + | 0.936139i | 0.892450 | + | 0.0865461i | ||||
\(118\) | −0.821347 | + | 0.610482i | −0.0756111 | + | 0.0561994i | ||||
\(119\) | 8.52140 | + | 1.69501i | 0.781156 | + | 0.155382i | ||||
\(120\) | −1.61674 | − | 0.756993i | −0.147587 | − | 0.0691036i | ||||
\(121\) | −2.13529 | − | 10.7348i | −0.194118 | − | 0.975895i | ||||
\(122\) | −0.322500 | − | 6.42774i | −0.0291978 | − | 0.581940i | ||||
\(123\) | 0.958665 | + | 0.957227i | 0.0864399 | + | 0.0863103i | ||||
\(124\) | −12.2143 | − | 6.49594i | −1.09688 | − | 0.583352i | ||||
\(125\) | 0.352430 | − | 3.57828i | 0.0315223 | − | 0.320051i | ||||
\(126\) | −4.35401 | + | 3.96647i | −0.387886 | + | 0.353362i | ||||
\(127\) | − | 4.77665i | − | 0.423859i | −0.977285 | − | 0.211930i | \(-0.932025\pi\) | ||
0.977285 | − | 0.211930i | \(-0.0679748\pi\) | |||||||
\(128\) | −5.74535 | + | 9.74633i | −0.507822 | + | 0.861462i | ||||
\(129\) | 11.0859 | − | 3.37195i | 0.976055 | − | 0.296883i | ||||
\(130\) | −1.64773 | + | 0.246176i | −0.144515 | + | 0.0215910i | ||||
\(131\) | 9.98659 | + | 0.983594i | 0.872533 | + | 0.0859370i | 0.524363 | − | 0.851495i | \(-0.324303\pi\) |
0.348169 | + | 0.937432i | \(0.386803\pi\) | |||||||
\(132\) | −0.156016 | + | 0.796150i | −0.0135795 | + | 0.0692960i | ||||
\(133\) | −4.45628 | − | 8.33711i | −0.386408 | − | 0.722919i | ||||
\(134\) | 5.26836 | − | 0.264331i | 0.455117 | − | 0.0228347i | ||||
\(135\) | −1.67190 | − | 0.888813i | −0.143894 | − | 0.0764968i | ||||
\(136\) | 17.6775 | − | 0.923941i | 1.51584 | − | 0.0792273i | ||||
\(137\) | 1.41756 | − | 7.12654i | 0.121110 | − | 0.608862i | −0.871787 | − | 0.489885i | \(-0.837039\pi\) |
0.992897 | − | 0.118977i | \(-0.0379613\pi\) | |||||||
\(138\) | 9.97334 | + | 7.36903i | 0.848987 | + | 0.627294i | ||||
\(139\) | −3.79829 | + | 4.62823i | −0.322167 | + | 0.392562i | −0.908759 | − | 0.417321i | \(-0.862969\pi\) |
0.586592 | + | 0.809882i | \(0.300469\pi\) | |||||||
\(140\) | 0.560342 | − | 0.842413i | 0.0473576 | − | 0.0711969i | ||||
\(141\) | −1.40802 | + | 7.10645i | −0.118576 | + | 0.598471i | ||||
\(142\) | −19.3419 | + | 6.94341i | −1.62313 | + | 0.582678i | ||||
\(143\) | 0.289744 | + | 0.699505i | 0.0242296 | + | 0.0584955i | ||||
\(144\) | −6.61010 | + | 10.0153i | −0.550841 | + | 0.834610i | ||||
\(145\) | 1.12125 | − | 2.70693i | 0.0931144 | − | 0.224798i | ||||
\(146\) | −0.252426 | + | 5.25005i | −0.0208909 | + | 0.434497i | ||||
\(147\) | 4.88688 | + | 7.30186i | 0.403063 | + | 0.602247i | ||||
\(148\) | −0.0126471 | − | 6.05810i | −0.00103958 | − | 0.497973i | ||||
\(149\) | −8.65981 | + | 0.852917i | −0.709439 | + | 0.0698737i | −0.446299 | − | 0.894884i | \(-0.647258\pi\) |
−0.263140 | + | 0.964758i | \(0.584758\pi\) | |||||||
\(150\) | −11.5701 | − | 2.87610i | −0.944693 | − | 0.234832i | ||||
\(151\) | −10.3561 | − | 15.4990i | −0.842765 | − | 1.26129i | −0.963259 | − | 0.268573i | \(-0.913448\pi\) |
0.120495 | − | 0.992714i | \(-0.461552\pi\) | |||||||
\(152\) | −12.9791 | − | 14.2304i | −1.05274 | − | 1.15424i | ||||
\(153\) | 18.7754 | − | 0.0281867i | 1.51790 | − | 0.00227876i | ||||
\(154\) | −0.433084 | − | 0.154450i | −0.0348989 | − | 0.0124460i | ||||
\(155\) | 2.41205 | + | 0.731689i | 0.193741 | + | 0.0587706i | ||||
\(156\) | 0.0317856 | + | 11.1989i | 0.00254488 | + | 0.896633i | ||||
\(157\) | −6.36307 | − | 7.75342i | −0.507828 | − | 0.618790i | 0.454478 | − | 0.890758i | \(-0.349826\pi\) |
−0.962306 | + | 0.271968i | \(0.912326\pi\) | |||||||
\(158\) | 6.39838 | + | 10.6498i | 0.509028 | + | 0.847255i | ||||
\(159\) | −4.08501 | + | 7.65633i | −0.323962 | + | 0.607186i | ||||
\(160\) | 0.684309 | − | 1.94445i | 0.0540994 | − | 0.153722i | ||||
\(161\) | −4.96951 | + | 4.96951i | −0.391652 | + | 0.391652i | ||||
\(162\) | −7.54059 | + | 10.2538i | −0.592444 | + | 0.805611i | ||||
\(163\) | −3.25235 | − | 3.96300i | −0.254743 | − | 0.310406i | 0.629898 | − | 0.776678i | \(-0.283097\pi\) |
−0.884641 | + | 0.466272i | \(0.845597\pi\) | |||||||
\(164\) | −0.989868 | + | 1.21130i | −0.0772957 | + | 0.0945870i | ||||
\(165\) | −0.000110955 | − | 0.147817i | −8.63786e−6 | − | 0.0115075i | ||||
\(166\) | 5.78162 | + | 12.1913i | 0.448741 | + | 0.946226i | ||||
\(167\) | −13.7421 | − | 9.18215i | −1.06339 | − | 0.710536i | −0.104563 | − | 0.994518i | \(-0.533344\pi\) |
−0.958830 | + | 0.283982i | \(0.908344\pi\) | |||||||
\(168\) | −5.05691 | − | 4.54768i | −0.390149 | − | 0.350861i | ||||
\(169\) | −1.41590 | − | 2.11904i | −0.108915 | − | 0.163003i | ||||
\(170\) | −3.12776 | + | 0.786933i | −0.239888 | + | 0.0603550i | ||||
\(171\) | −12.9835 | − | 15.7721i | −0.992871 | − | 1.20612i | ||||
\(172\) | 5.14606 | + | 12.3507i | 0.392383 | + | 0.941732i | ||||
\(173\) | −10.0807 | + | 3.05796i | −0.766424 | + | 0.232492i | −0.649205 | − | 0.760614i | \(-0.724898\pi\) |
−0.117219 | + | 0.993106i | \(0.537398\pi\) | |||||||
\(174\) | −16.9113 | − | 10.0950i | −1.28204 | − | 0.765302i | ||||
\(175\) | 2.58576 | − | 6.24257i | 0.195465 | − | 0.471894i | ||||
\(176\) | −0.932665 | − | 0.0879291i | −0.0703022 | − | 0.00662791i | ||||
\(177\) | −0.795860 | − | 0.968275i | −0.0598205 | − | 0.0727800i | ||||
\(178\) | 5.48489 | − | 11.6282i | 0.411110 | − | 0.871572i | ||||
\(179\) | −0.660765 | + | 1.23620i | −0.0493879 | + | 0.0923982i | −0.905404 | − | 0.424550i | \(-0.860432\pi\) |
0.856016 | + | 0.516949i | \(0.172932\pi\) | |||||||
\(180\) | 0.829441 | − | 2.02295i | 0.0618229 | − | 0.150782i | ||||
\(181\) | −8.72779 | + | 10.6348i | −0.648731 | + | 0.790482i | −0.988692 | − | 0.149958i | \(-0.952086\pi\) |
0.339961 | + | 0.940440i | \(0.389586\pi\) | |||||||
\(182\) | −6.27931 | − | 0.924750i | −0.465453 | − | 0.0685470i | ||||
\(183\) | 7.84370 | − | 0.778482i | 0.579823 | − | 0.0575471i | ||||
\(184\) | −7.32282 | + | 12.3046i | −0.539845 | + | 0.907107i | ||||
\(185\) | 0.215338 | + | 1.08257i | 0.0158319 | + | 0.0795925i | ||||
\(186\) | 7.21675 | − | 15.3297i | 0.529158 | − | 1.12402i | ||||
\(187\) | 0.690944 | + | 1.29267i | 0.0505268 | + | 0.0945291i | ||||
\(188\) | −8.32675 | − | 0.802565i | −0.607290 | − | 0.0585330i | ||||
\(189\) | −5.11223 | − | 5.08926i | −0.371860 | − | 0.370189i | ||||
\(190\) | 2.82081 | + | 2.08749i | 0.204643 | + | 0.151443i | ||||
\(191\) | 8.74939i | 0.633083i | 0.948579 | + | 0.316542i | \(0.102522\pi\) | ||||
−0.948579 | + | 0.316542i | \(0.897478\pi\) | |||||||
\(192\) | −12.2658 | − | 6.44600i | −0.885206 | − | 0.465200i | ||||
\(193\) | 4.02910i | 0.290021i | 0.989430 | + | 0.145010i | \(0.0463215\pi\) | ||||
−0.989430 | + | 0.145010i | \(0.953678\pi\) | |||||||
\(194\) | −10.6993 | + | 14.4579i | −0.768168 | + | 1.03802i | ||||
\(195\) | −0.399574 | − | 2.00094i | −0.0286141 | − | 0.143290i | ||||
\(196\) | −7.82914 | + | 6.45261i | −0.559224 | + | 0.460901i | ||||
\(197\) | 12.1911 | + | 22.8080i | 0.868583 | + | 1.62501i | 0.777256 | + | 0.629184i | \(0.216611\pi\) |
0.0913272 | + | 0.995821i | \(0.470889\pi\) | |||||||
\(198\) | −0.983240 | − | 0.143293i | −0.0698758 | − | 0.0101834i | ||||
\(199\) | 4.74872 | + | 23.8734i | 0.336628 | + | 1.69234i | 0.664232 | + | 0.747527i | \(0.268759\pi\) |
−0.327604 | + | 0.944815i | \(0.606241\pi\) | |||||||
\(200\) | 1.97732 | − | 13.6238i | 0.139818 | − | 0.963349i | ||||
\(201\) | 0.638067 | + | 6.42893i | 0.0450058 | + | 0.453462i | ||||
\(202\) | −3.06547 | + | 20.8154i | −0.215686 | + | 1.46457i | ||||
\(203\) | 7.08127 | − | 8.62855i | 0.497008 | − | 0.605606i | ||||
\(204\) | 2.18624 | + | 21.5695i | 0.153068 | + | 1.51017i | ||||
\(205\) | 0.134357 | − | 0.251363i | 0.00938387 | − | 0.0175560i | ||||
\(206\) | 10.2062 | + | 4.81414i | 0.711099 | + | 0.335417i | ||||
\(207\) | −8.41867 | + | 12.6405i | −0.585138 | + | 0.878573i | ||||
\(208\) | −12.8638 | + | 1.32123i | −0.891945 | + | 0.0916107i | ||||
\(209\) | 0.610302 | − | 1.47340i | 0.0422155 | − | 0.101917i | ||||
\(210\) | 1.06399 | + | 0.635137i | 0.0734220 | + | 0.0438286i | ||||
\(211\) | 19.6003 | − | 5.94570i | 1.34934 | − | 0.409319i | 0.468808 | − | 0.883300i | \(-0.344684\pi\) |
0.880535 | + | 0.473982i | \(0.157184\pi\) | |||||||
\(212\) | −9.26565 | − | 3.81532i | −0.636367 | − | 0.262037i | ||||
\(213\) | −9.64920 | − | 23.2459i | −0.661153 | − | 1.59278i | ||||
\(214\) | −4.90424 | − | 19.4925i | −0.335247 | − | 1.33248i | ||||
\(215\) | −1.35437 | − | 2.02696i | −0.0923675 | − | 0.138238i | ||||
\(216\) | −12.6465 | − | 7.48777i | −0.860484 | − | 0.509478i | ||||
\(217\) | 7.98436 | + | 5.33498i | 0.542013 | + | 0.362162i | ||||
\(218\) | 0.714115 | − | 0.338664i | 0.0483660 | − | 0.0229372i | ||||
\(219\) | −6.43740 | + | 0.00483209i | −0.434999 | + | 0.000326522i | ||||
\(220\) | 0.169827 | − | 0.0170846i | 0.0114497 | − | 0.00115184i | ||||
\(221\) | 12.8356 | + | 15.6402i | 0.863416 | + | 1.05208i | ||||
\(222\) | 7.41004 | − | 0.377362i | 0.497329 | − | 0.0253269i | ||||
\(223\) | 11.1231 | − | 11.1231i | 0.744860 | − | 0.744860i | −0.228649 | − | 0.973509i | \(-0.573431\pi\) |
0.973509 | + | 0.228649i | \(0.0734309\pi\) | |||||||
\(224\) | 4.64512 | − | 6.33202i | 0.310365 | − | 0.423076i | ||||
\(225\) | 2.82714 | − | 14.3253i | 0.188476 | − | 0.955022i | ||||
\(226\) | 2.94903 | − | 1.77177i | 0.196167 | − | 0.117856i | ||||
\(227\) | −13.5200 | − | 16.4742i | −0.897356 | − | 1.09343i | −0.995164 | − | 0.0982257i | \(-0.968683\pi\) |
0.0978085 | − | 0.995205i | \(-0.468817\pi\) | |||||||
\(228\) | 16.6325 | − | 16.7272i | 1.10151 | − | 1.10778i | ||||
\(229\) | 4.76181 | + | 1.44448i | 0.314669 | + | 0.0954539i | 0.443669 | − | 0.896191i | \(-0.353677\pi\) |
−0.129000 | + | 0.991645i | \(0.541177\pi\) | |||||||
\(230\) | 0.876336 | − | 2.45728i | 0.0577839 | − | 0.162028i | ||||
\(231\) | 0.163066 | − | 0.539013i | 0.0107290 | − | 0.0354644i | ||||
\(232\) | 9.65905 | − | 20.5889i | 0.634148 | − | 1.35173i | ||||
\(233\) | 12.3351 | + | 18.4607i | 0.808097 | + | 1.20940i | 0.974730 | + | 0.223384i | \(0.0717105\pi\) |
−0.166633 | + | 0.986019i | \(0.553290\pi\) | |||||||
\(234\) | −13.6976 | + | 0.707871i | −0.895442 | + | 0.0462750i | ||||
\(235\) | 1.51682 | − | 0.149394i | 0.0989463 | − | 0.00974536i | ||||
\(236\) | 1.02124 | − | 1.02551i | 0.0664769 | − | 0.0667550i | ||||
\(237\) | −12.6456 | + | 8.46324i | −0.821418 | + | 0.549747i | ||||
\(238\) | −12.2730 | − | 0.590093i | −0.795541 | − | 0.0382500i | ||||
\(239\) | 0.871052 | − | 2.10291i | 0.0563437 | − | 0.136026i | −0.893201 | − | 0.449658i | \(-0.851546\pi\) |
0.949545 | + | 0.313632i | \(0.101546\pi\) | |||||||
\(240\) | 2.41950 | + | 0.720951i | 0.156178 | + | 0.0465372i | ||||
\(241\) | −2.89552 | − | 6.99040i | −0.186517 | − | 0.450291i | 0.802768 | − | 0.596292i | \(-0.203360\pi\) |
−0.989285 | + | 0.146001i | \(0.953360\pi\) | |||||||
\(242\) | 5.22985 | + | 14.5685i | 0.336188 | + | 0.936499i | ||||
\(243\) | −12.9937 | − | 8.61178i | −0.833549 | − | 0.552446i | ||||
\(244\) | 1.79427 | + | 8.92301i | 0.114866 | + | 0.571237i | ||||
\(245\) | 1.17268 | − | 1.42891i | 0.0749198 | − | 0.0912900i | ||||
\(246\) | −1.54091 | − | 1.13853i | −0.0982445 | − | 0.0725902i | ||||
\(247\) | 4.29479 | − | 21.5914i | 0.273271 | − | 1.37383i | ||||
\(248\) | 18.4415 | + | 6.53339i | 1.17103 | + | 0.414871i | ||||
\(249\) | −14.5680 | + | 7.80084i | −0.923212 | + | 0.494358i | ||||
\(250\) | 0.254808 | + | 5.07855i | 0.0161154 | + | 0.321196i | ||||
\(251\) | 5.62447 | + | 10.5226i | 0.355014 | + | 0.664184i | 0.994514 | − | 0.104607i | \(-0.0333586\pi\) |
−0.639500 | + | 0.768791i | \(0.720859\pi\) | |||||||
\(252\) | 5.26104 | − | 6.45772i | 0.331414 | − | 0.406798i | ||||
\(253\) | −1.17992 | − | 0.116212i | −0.0741807 | − | 0.00730616i | ||||
\(254\) | 0.998169 | + | 6.68105i | 0.0626307 | + | 0.419207i | ||||
\(255\) | −1.14949 | − | 3.77913i | −0.0719836 | − | 0.236659i | ||||
\(256\) | 5.99928 | − | 14.8327i | 0.374955 | − | 0.927043i | ||||
\(257\) | 24.0854i | 1.50241i | 0.660070 | + | 0.751204i | \(0.270527\pi\) | ||||
−0.660070 | + | 0.751204i | \(0.729473\pi\) | |||||||
\(258\) | −14.8010 | + | 7.03290i | −0.921473 | + | 0.437849i | ||||
\(259\) | −0.412171 | + | 4.18484i | −0.0256111 | + | 0.260033i | ||||
\(260\) | 2.25322 | − | 0.688647i | 0.139739 | − | 0.0427081i | ||||
\(261\) | 11.3389 | − | 21.2904i | 0.701859 | − | 1.31784i | ||||
\(262\) | −14.1737 | + | 0.711140i | −0.875653 | + | 0.0439343i | ||||
\(263\) | 1.18329 | + | 5.94881i | 0.0729649 | + | 0.366819i | 0.999966 | − | 0.00823925i | \(-0.00262266\pi\) |
−0.927001 | + | 0.375058i | \(0.877623\pi\) | |||||||
\(264\) | 0.0518483 | − | 1.14617i | 0.00319104 | − | 0.0705418i | ||||
\(265\) | 1.79063 | + | 0.356179i | 0.109998 | + | 0.0218799i | ||||
\(266\) | 7.97514 | + | 10.7298i | 0.488987 | + | 0.657887i | ||||
\(267\) | 14.5523 | + | 6.01497i | 0.890586 | + | 0.368110i | ||||
\(268\) | −7.31356 | + | 1.47064i | −0.446747 | + | 0.0898335i | ||||
\(269\) | −0.143808 | + | 0.269046i | −0.00876813 | + | 0.0164040i | −0.886267 | − | 0.463174i | \(-0.846710\pi\) |
0.877499 | + | 0.479578i | \(0.159210\pi\) | |||||||
\(270\) | 2.52420 | + | 0.893800i | 0.153618 | + | 0.0543949i | ||||
\(271\) | −20.1002 | + | 8.32578i | −1.22100 | + | 0.505755i | −0.897728 | − | 0.440550i | \(-0.854783\pi\) |
−0.323273 | + | 0.946306i | \(0.604783\pi\) | |||||||
\(272\) | −24.5323 | + | 4.98635i | −1.48749 | + | 0.302342i | ||||
\(273\) | 0.756129 | − | 7.73664i | 0.0457630 | − | 0.468243i | ||||
\(274\) | −0.493501 | + | 10.2640i | −0.0298135 | + | 0.620074i | ||||
\(275\) | 1.09082 | − | 0.330896i | 0.0657788 | − | 0.0199538i | ||||
\(276\) | −15.4895 | − | 8.22287i | −0.932359 | − | 0.494959i | ||||
\(277\) | 2.22554 | + | 22.5963i | 0.133720 | + | 1.35768i | 0.794575 | + | 0.607166i | \(0.207694\pi\) |
−0.660855 | + | 0.750514i | \(0.729806\pi\) | |||||||
\(278\) | 4.34548 | − | 7.26718i | 0.260624 | − | 0.435857i | ||||
\(279\) | 19.1837 | + | 7.91242i | 1.14850 | + | 0.473704i | ||||
\(280\) | −0.607707 | + | 1.29537i | −0.0363175 | + | 0.0774131i | ||||
\(281\) | 27.5449 | + | 18.4049i | 1.64319 | + | 1.09794i | 0.906963 | + | 0.421210i | \(0.138395\pi\) |
0.736227 | + | 0.676734i | \(0.236605\pi\) | |||||||
\(282\) | 0.484355 | − | 10.2339i | 0.0288429 | − | 0.609422i | ||||
\(283\) | −0.552743 | + | 1.82215i | −0.0328571 | + | 0.108315i | −0.971835 | − | 0.235662i | \(-0.924274\pi\) |
0.938978 | + | 0.343977i | \(0.111774\pi\) | |||||||
\(284\) | 25.6023 | − | 13.7535i | 1.51922 | − | 0.816121i | ||||
\(285\) | −2.38510 | + | 3.57536i | −0.141281 | + | 0.211786i | ||||
\(286\) | −0.551437 | − | 0.917842i | −0.0326071 | − | 0.0542732i | ||||
\(287\) | 0.767801 | − | 0.767801i | 0.0453218 | − | 0.0453218i | ||||
\(288\) | 7.15259 | − | 15.3896i | 0.421470 | − | 0.906842i | ||||
\(289\) | 15.6756 | + | 15.6756i | 0.922095 | + | 0.922095i | ||||
\(290\) | −1.00261 | + | 4.02045i | −0.0588754 | + | 0.236089i | ||||
\(291\) | −18.3253 | − | 12.2247i | −1.07425 | − | 0.716625i | ||||
\(292\) | −0.744030 | − | 7.39594i | −0.0435410 | − | 0.432815i | ||||
\(293\) | −9.68693 | − | 2.93850i | −0.565917 | − | 0.171669i | −0.00565411 | − | 0.999984i | \(-0.501800\pi\) |
−0.560263 | + | 0.828315i | \(0.689300\pi\) | |||||||
\(294\) | −8.36108 | − | 9.19183i | −0.487628 | − | 0.536078i | ||||
\(295\) | −0.146499 | + | 0.219252i | −0.00852953 | + | 0.0127653i | ||||
\(296\) | 1.28364 | + | 8.47076i | 0.0746101 | + | 0.492353i | ||||
\(297\) | 0.116553 | − | 1.21134i | 0.00676311 | − | 0.0702894i | ||||
\(298\) | 11.9342 | − | 3.00259i | 0.691327 | − | 0.173935i | ||||
\(299\) | −16.2874 | + | 1.60417i | −0.941926 | + | 0.0927716i | ||||
\(300\) | 16.7840 | + | 1.60499i | 0.969022 | + | 0.0926641i | ||||
\(301\) | −2.69597 | − | 8.88742i | −0.155393 | − | 0.512262i | ||||
\(302\) | 17.7237 | + | 19.5141i | 1.01989 | + | 1.12291i | ||||
\(303\) | −25.6463 | − | 2.50651i | −1.47334 | − | 0.143995i | ||||
\(304\) | 21.1274 | + | 17.1917i | 1.21174 | + | 0.986009i | ||||
\(305\) | −0.634607 | − | 1.53208i | −0.0363375 | − | 0.0877265i | ||||
\(306\) | −26.2551 | + | 3.96290i | −1.50091 | + | 0.226544i | ||||
\(307\) | 14.4689 | + | 7.73380i | 0.825785 | + | 0.441391i | 0.829436 | − | 0.558602i | \(-0.188662\pi\) |
−0.00365112 | + | 0.999993i | \(0.501162\pi\) | |||||||
\(308\) | 0.638026 | + | 0.125527i | 0.0363549 | + | 0.00715257i | ||||
\(309\) | −5.27939 | + | 12.7727i | −0.300334 | + | 0.726613i | ||||
\(310\) | −3.52661 | − | 0.519362i | −0.200298 | − | 0.0294978i | ||||
\(311\) | 2.55234 | − | 12.8315i | 0.144730 | − | 0.727606i | −0.838452 | − | 0.544976i | \(-0.816539\pi\) |
0.983182 | − | 0.182630i | \(-0.0584611\pi\) | |||||||
\(312\) | −2.38468 | − | 15.6572i | −0.135006 | − | 0.886415i | ||||
\(313\) | 4.32184 | − | 0.859668i | 0.244285 | − | 0.0485913i | −0.0714291 | − | 0.997446i | \(-0.522756\pi\) |
0.315714 | + | 0.948854i | \(0.397756\pi\) | |||||||
\(314\) | 10.5202 | + | 9.51495i | 0.593688 | + | 0.536960i | ||||
\(315\) | −0.713395 | + | 1.33950i | −0.0401953 | + | 0.0754724i | ||||
\(316\) | −11.1748 | − | 13.5587i | −0.628633 | − | 0.762739i | ||||
\(317\) | −18.1683 | − | 1.78942i | −1.02043 | − | 0.100504i | −0.426062 | − | 0.904694i | \(-0.640099\pi\) |
−0.594372 | + | 0.804190i | \(0.702599\pi\) | |||||||
\(318\) | 4.11373 | − | 11.5625i | 0.230686 | − | 0.648391i | ||||
\(319\) | 1.88309 | 0.105433 | ||||||||
\(320\) | −0.550807 | + | 2.86268i | −0.0307911 | + | 0.160029i | ||||
\(321\) | 23.5520 | − | 7.16372i | 1.31454 | − | 0.399840i | ||||
\(322\) | 5.91233 | − | 7.98927i | 0.329481 | − | 0.445224i | ||||
\(323\) | 4.17724 | − | 42.4122i | 0.232428 | − | 2.35988i | ||||
\(324\) | 8.40423 | − | 15.9176i | 0.466902 | − | 0.884309i | ||||
\(325\) | 13.8771 | − | 7.41746i | 0.769763 | − | 0.411447i | ||||
\(326\) | 5.37716 | + | 4.86336i | 0.297814 | + | 0.269357i | ||||
\(327\) | 0.456942 | + | 0.853337i | 0.0252690 | + | 0.0471897i | ||||
\(328\) | 1.13139 | − | 1.90109i | 0.0624707 | − | 0.104970i | ||||
\(329\) | 5.69502 | + | 1.13281i | 0.313977 | + | 0.0624538i | ||||
\(330\) | 0.0310442 | + | 0.206727i | 0.00170893 | + | 0.0113799i | ||||
\(331\) | 24.6053 | + | 20.1931i | 1.35243 | + | 1.10991i | 0.983590 | + | 0.180418i | \(0.0577451\pi\) |
0.368840 | + | 0.929493i | \(0.379755\pi\) | |||||||
\(332\) | −10.6343 | − | 15.8436i | −0.583632 | − | 0.869531i | ||||
\(333\) | 0.904274 | + | 9.04207i | 0.0495539 | + | 0.495502i | ||||
\(334\) | 21.1397 | + | 9.97133i | 1.15671 | + | 0.545607i | ||||
\(335\) | 1.25574 | − | 0.520143i | 0.0686082 | − | 0.0284184i | ||||
\(336\) | 8.02337 | + | 5.30406i | 0.437711 | + | 0.289360i | ||||
\(337\) | −32.5864 | − | 13.4977i | −1.77509 | − | 0.735268i | −0.993810 | − | 0.111091i | \(-0.964565\pi\) |
−0.781283 | − | 0.624176i | \(-0.785435\pi\) | |||||||
\(338\) | 2.42322 | + | 2.66801i | 0.131806 | + | 0.145120i | ||||
\(339\) | 2.34355 | + | 3.50167i | 0.127284 | + | 0.190185i | ||||
\(340\) | 4.21032 | − | 1.75428i | 0.228336 | − | 0.0951390i | ||||
\(341\) | 0.158787 | + | 1.61219i | 0.00859879 | + | 0.0873050i | ||||
\(342\) | 21.4557 | + | 19.3471i | 1.16019 | + | 1.04617i | ||||
\(343\) | 13.9354 | − | 9.31137i | 0.752443 | − | 0.502767i | ||||
\(344\) | −9.77865 | − | 16.1994i | −0.527229 | − | 0.873415i | ||||
\(345\) | 3.05831 | + | 0.925221i | 0.164654 | + | 0.0498122i | ||||
\(346\) | 13.4608 | − | 6.38369i | 0.723657 | − | 0.343189i | ||||
\(347\) | −3.11564 | + | 10.2709i | −0.167256 | + | 0.551371i | −0.999997 | − | 0.00229222i | \(-0.999270\pi\) |
0.832741 | + | 0.553663i | \(0.186770\pi\) | |||||||
\(348\) | 25.7632 | + | 10.5859i | 1.38105 | + | 0.567463i | ||||
\(349\) | −13.3439 | + | 10.9510i | −0.714281 | + | 0.586196i | −0.919767 | − | 0.392464i | \(-0.871623\pi\) |
0.205486 | + | 0.978660i | \(0.434123\pi\) | |||||||
\(350\) | −2.31217 | + | 9.27176i | −0.123591 | + | 0.495597i | ||||
\(351\) | −1.68418 | − | 16.7138i | −0.0898949 | − | 0.892119i | ||||
\(352\) | 1.32288 | − | 0.0719118i | 0.0705099 | − | 0.00383291i | ||||
\(353\) | −23.7176 | − | 23.7176i | −1.26236 | − | 1.26236i | −0.949946 | − | 0.312415i | \(-0.898862\pi\) |
−0.312415 | − | 0.949946i | \(-0.601138\pi\) | |||||||
\(354\) | 1.31550 | + | 1.18801i | 0.0699180 | + | 0.0631418i | ||||
\(355\) | −4.09324 | + | 3.35923i | −0.217247 | + | 0.178290i | ||||
\(356\) | −5.24173 | + | 17.4104i | −0.277811 | + | 0.922751i | ||||
\(357\) | −0.0112959 | − | 15.0487i | −0.000597844 | − | 0.796459i | ||||
\(358\) | 0.665877 | − | 1.86714i | 0.0351927 | − | 0.0986817i | ||||
\(359\) | 9.39583 | − | 14.0619i | 0.495893 | − | 0.742156i | −0.496125 | − | 0.868251i | \(-0.665244\pi\) |
0.992018 | + | 0.126095i | \(0.0402443\pi\) | |||||||
\(360\) | −0.737397 | + | 3.00281i | −0.0388643 | + | 0.158262i | ||||
\(361\) | −22.7572 | + | 15.2059i | −1.19775 | + | 0.800310i | ||||
\(362\) | 9.98512 | − | 16.6987i | 0.524806 | − | 0.877663i | ||||
\(363\) | −17.5090 | + | 7.26789i | −0.918987 | + | 0.381465i | ||||
\(364\) | 8.97605 | − | 0.0187387i | 0.470473 | − | 0.000982174i | ||||
\(365\) | 0.393143 | + | 1.29602i | 0.0205781 | + | 0.0678368i | ||||
\(366\) | −10.8082 | + | 2.72794i | −0.564955 | + | 0.142592i | ||||
\(367\) | −7.92994 | − | 3.28469i | −0.413940 | − | 0.171459i | 0.165987 | − | 0.986128i | \(-0.446919\pi\) |
−0.579927 | + | 0.814669i | \(0.696919\pi\) | |||||||
\(368\) | 7.67108 | − | 18.7406i | 0.399883 | − | 0.976919i | ||||
\(369\) | 1.30070 | − | 1.95298i | 0.0677120 | − | 0.101668i | ||||
\(370\) | −0.527414 | − | 1.46919i | −0.0274190 | − | 0.0763794i | ||||
\(371\) | 6.13414 | + | 3.27877i | 0.318469 | + | 0.170225i | ||||
\(372\) | −6.89058 | + | 22.9495i | −0.357260 | + | 1.18988i | ||||
\(373\) | 14.1297 | + | 11.5959i | 0.731606 | + | 0.600413i | 0.924669 | − | 0.380773i | \(-0.124342\pi\) |
−0.193063 | + | 0.981186i | \(0.561842\pi\) | |||||||
\(374\) | −1.23654 | − | 1.66365i | −0.0639401 | − | 0.0860254i | ||||
\(375\) | −6.19731 | + | 0.615079i | −0.320028 | + | 0.0317625i | ||||
\(376\) | 11.8142 | − | 0.617487i | 0.609273 | − | 0.0318445i | ||||
\(377\) | 25.4945 | − | 5.07117i | 1.31303 | − | 0.261179i | ||||
\(378\) | 8.21392 | + | 6.05000i | 0.422478 | + | 0.311178i | ||||
\(379\) | −24.7566 | + | 13.2327i | −1.27166 | + | 0.679717i | −0.962497 | − | 0.271292i | \(-0.912549\pi\) |
−0.309164 | + | 0.951009i | \(0.600049\pi\) | |||||||
\(380\) | −4.38165 | − | 2.33029i | −0.224774 | − | 0.119542i | ||||
\(381\) | −8.11322 | + | 1.62015i | −0.415653 | + | 0.0830029i | ||||
\(382\) | −1.82834 | − | 12.2377i | −0.0935462 | − | 0.626134i | ||||
\(383\) | 7.48476 | 0.382453 | 0.191227 | − | 0.981546i | \(-0.438753\pi\) | ||||
0.191227 | + | 0.981546i | \(0.438753\pi\) | |||||||
\(384\) | 18.5030 | + | 6.45279i | 0.944228 | + | 0.329293i | ||||
\(385\) | −0.118476 | −0.00603811 | ||||||||
\(386\) | −0.841953 | − | 5.63545i | −0.0428543 | − | 0.286837i | ||||
\(387\) | −9.48742 | − | 17.6858i | −0.482273 | − | 0.899020i | ||||
\(388\) | 11.9438 | − | 22.4580i | 0.606356 | − | 1.14013i | ||||
\(389\) | 15.4968 | − | 8.28320i | 0.785718 | − | 0.419975i | −0.0291840 | − | 0.999574i | \(-0.509291\pi\) |
0.814902 | + | 0.579599i | \(0.196791\pi\) | |||||||
\(390\) | 0.977013 | + | 2.71520i | 0.0494730 | + | 0.137489i | ||||
\(391\) | −31.0745 | + | 6.18110i | −1.57150 | + | 0.312591i | ||||
\(392\) | 9.60214 | − | 10.6612i | 0.484982 | − | 0.538474i | ||||
\(393\) | −1.71662 | − | 17.2960i | −0.0865919 | − | 0.872468i | ||||
\(394\) | −21.8178 | − | 29.3538i | −1.09916 | − | 1.47882i | ||||
\(395\) | 2.47464 | + | 2.03088i | 0.124513 | + | 0.102185i | ||||
\(396\) | 1.40519 | − | 0.00504309i | 0.0706135 | − | 0.000253425i | ||||
\(397\) | 21.0056 | + | 11.2277i | 1.05424 | + | 0.563503i | 0.905050 | − | 0.425305i | \(-0.139833\pi\) |
0.149191 | + | 0.988808i | \(0.452333\pi\) | |||||||
\(398\) | −11.6308 | − | 32.3992i | −0.582998 | − | 1.62402i | ||||
\(399\) | −12.6492 | + | 10.3969i | −0.633254 | + | 0.520494i | ||||
\(400\) | 0.0812873 | + | 19.4687i | 0.00406436 | + | 0.973434i | ||||
\(401\) | −15.2411 | − | 6.31307i | −0.761104 | − | 0.315260i | −0.0318411 | − | 0.999493i | \(-0.510137\pi\) |
−0.729263 | + | 0.684233i | \(0.760137\pi\) | |||||||
\(402\) | −2.23590 | − | 8.85874i | −0.111517 | − | 0.441834i | ||||
\(403\) | 6.49139 | + | 21.3993i | 0.323359 | + | 1.06597i | ||||
\(404\) | −0.0621172 | − | 29.7549i | −0.00309045 | − | 1.48036i | ||||
\(405\) | −0.942586 | + | 3.14121i | −0.0468375 | + | 0.156088i | ||||
\(406\) | −8.10140 | + | 13.5484i | −0.402066 | + | 0.672397i | ||||
\(407\) | −0.589849 | + | 0.394125i | −0.0292377 | + | 0.0195360i | ||||
\(408\) | −7.56522 | − | 29.7122i | −0.374534 | − | 1.47097i | ||||
\(409\) | −7.43455 | + | 11.1266i | −0.367615 | + | 0.550175i | −0.968453 | − | 0.249196i | \(-0.919834\pi\) |
0.600838 | + | 0.799371i | \(0.294834\pi\) | |||||||
\(410\) | −0.135396 | + | 0.379656i | −0.00668674 | + | 0.0187499i | ||||
\(411\) | −12.5854 | + | 0.00944691i | −0.620790 | + | 0.000465982i | ||||
\(412\) | −15.2813 | − | 4.60072i | −0.752855 | − | 0.226661i | ||||
\(413\) | −0.776558 | + | 0.637304i | −0.0382119 | + | 0.0313597i | ||||
\(414\) | 9.13364 | − | 19.4393i | 0.448894 | − | 0.955390i | ||||
\(415\) | 2.45837 | + | 2.45837i | 0.120676 | + | 0.120676i | ||||
\(416\) | 17.7164 | − | 4.53612i | 0.868617 | − | 0.222401i | ||||
\(417\) | 9.14944 | + | 4.88165i | 0.448050 | + | 0.239055i | ||||
\(418\) | −0.545729 | + | 2.18836i | −0.0266925 | + | 0.107036i | ||||
\(419\) | 4.04993 | − | 3.32369i | 0.197852 | − | 0.162373i | −0.530251 | − | 0.847841i | \(-0.677902\pi\) |
0.728103 | + | 0.685468i | \(0.240402\pi\) | |||||||
\(420\) | −1.62091 | − | 0.666019i | −0.0790923 | − | 0.0324984i | ||||
\(421\) | 8.39382 | − | 27.6707i | 0.409090 | − | 1.34859i | −0.474470 | − | 0.880271i | \(-0.657360\pi\) |
0.883560 | − | 0.468317i | \(-0.155140\pi\) | |||||||
\(422\) | −26.1723 | + | 12.4120i | −1.27405 | + | 0.604208i | ||||
\(423\) | 12.5480 | − | 0.0188377i | 0.610104 | − | 0.000915921i | ||||
\(424\) | 13.7570 | + | 3.40021i | 0.668101 | + | 0.165129i | ||||
\(425\) | 25.3277 | − | 16.9234i | 1.22858 | − | 0.820908i | ||||
\(426\) | 18.3539 | + | 30.4974i | 0.889249 | + | 1.47760i | ||||
\(427\) | −0.619240 | − | 6.28725i | −0.0299671 | − | 0.304261i | ||||
\(428\) | 10.9328 | + | 26.2391i | 0.528458 | + | 1.26832i | ||||
\(429\) | 1.08984 | − | 0.729394i | 0.0526182 | − | 0.0352155i | ||||
\(430\) | 2.31792 | + | 2.55207i | 0.111780 | + | 0.123072i | ||||
\(431\) | −28.5090 | − | 11.8088i | −1.37323 | − | 0.568811i | −0.430568 | − | 0.902558i | \(-0.641687\pi\) |
−0.942662 | + | 0.333748i | \(0.891687\pi\) | |||||||
\(432\) | 19.2532 | + | 7.83035i | 0.926320 | + | 0.376738i | ||||
\(433\) | −7.79101 | + | 3.22714i | −0.374412 | + | 0.155087i | −0.561951 | − | 0.827171i | \(-0.689949\pi\) |
0.187539 | + | 0.982257i | \(0.439949\pi\) | |||||||
\(434\) | −12.2825 | − | 5.79350i | −0.589578 | − | 0.278097i | ||||
\(435\) | −4.97806 | − | 0.986314i | −0.238680 | − | 0.0472902i | ||||
\(436\) | −0.928055 | + | 0.622913i | −0.0444458 | + | 0.0298321i | ||||
\(437\) | 26.6480 | + | 21.8694i | 1.27474 | + | 1.04616i | ||||
\(438\) | 9.00292 | − | 1.35197i | 0.430176 | − | 0.0645997i | ||||
\(439\) | 2.79815 | + | 0.556587i | 0.133548 | + | 0.0265644i | 0.261412 | − | 0.965227i | \(-0.415812\pi\) |
−0.127863 | + | 0.991792i | \(0.540812\pi\) | |||||||
\(440\) | −0.233965 | + | 0.0593845i | −0.0111539 | + | 0.00283104i | ||||
\(441\) | 10.7448 | − | 10.7771i | 0.511656 | − | 0.513195i | ||||
\(442\) | −21.2213 | − | 19.1936i | −1.00940 | − | 0.912946i | ||||
\(443\) | −18.9077 | + | 10.1064i | −0.898331 | + | 0.480168i | −0.854844 | − | 0.518886i | \(-0.826347\pi\) |
−0.0434878 | + | 0.999054i | \(0.513847\pi\) | |||||||
\(444\) | −10.2855 | + | 2.07628i | −0.488128 | + | 0.0985357i | ||||
\(445\) | 0.324713 | − | 3.29686i | 0.0153929 | − | 0.156286i | ||||
\(446\) | −13.2334 | + | 17.8822i | −0.626621 | + | 0.846746i | ||||
\(447\) | 4.38594 | + | 14.4195i | 0.207448 | + | 0.682020i | ||||
\(448\) | −5.17389 | + | 9.82722i | −0.244443 | + | 0.464292i | ||||
\(449\) | −33.1212 | −1.56309 | −0.781543 | − | 0.623851i | \(-0.785567\pi\) | ||||
−0.781543 | + | 0.623851i | \(0.785567\pi\) | |||||||
\(450\) | −0.960744 | + | 20.6275i | −0.0452899 | + | 0.972389i | ||||
\(451\) | 0.182300 | + | 0.0179550i | 0.00858417 | + | 0.000845467i | ||||
\(452\) | −3.75454 | + | 3.09441i | −0.176599 | + | 0.145549i | ||||
\(453\) | −22.8126 | + | 22.8469i | −1.07183 | + | 1.07344i | ||||
\(454\) | 22.3529 | + | 20.2170i | 1.04907 | + | 0.948832i | ||||
\(455\) | −1.60401 | + | 0.319057i | −0.0751971 | + | 0.0149576i | ||||
\(456\) | −19.7682 | + | 26.8718i | −0.925733 | + | 1.25839i | ||||
\(457\) | −7.74464 | + | 38.9350i | −0.362279 | + | 1.82130i | 0.183080 | + | 0.983098i | \(0.441393\pi\) |
−0.545360 | + | 0.838202i | \(0.683607\pi\) | |||||||
\(458\) | −6.96214 | − | 1.02531i | −0.325320 | − | 0.0479096i | ||||
\(459\) | −6.41616 | − | 31.8808i | −0.299480 | − | 1.48807i | ||||
\(460\) | −0.712229 | + | 3.62010i | −0.0332078 | + | 0.168788i | ||||
\(461\) | −3.39260 | − | 1.81338i | −0.158009 | − | 0.0844576i | 0.390497 | − | 0.920604i | \(-0.372303\pi\) |
−0.548506 | + | 0.836147i | \(0.684803\pi\) | |||||||
\(462\) | −0.115442 | + | 0.787987i | −0.00537085 | + | 0.0366605i | ||||
\(463\) | 3.59696 | + | 8.68384i | 0.167165 | + | 0.403572i | 0.985157 | − | 0.171658i | \(-0.0549125\pi\) |
−0.817992 | + | 0.575230i | \(0.804912\pi\) | |||||||
\(464\) | −9.20758 | + | 30.8159i | −0.427451 | + | 1.43059i | ||||
\(465\) | 0.424661 | − | 4.34509i | 0.0196932 | − | 0.201499i | ||||
\(466\) | −21.1106 | − | 23.2432i | −0.977932 | − | 1.07672i | ||||
\(467\) | −10.5599 | − | 34.8115i | −0.488656 | − | 1.61088i | −0.761048 | − | 0.648696i | \(-0.775315\pi\) |
0.272392 | − | 0.962186i | \(-0.412185\pi\) | |||||||
\(468\) | 19.0108 | − | 3.85246i | 0.878775 | − | 0.178080i | ||||
\(469\) | 5.15321 | − | 0.507547i | 0.237953 | − | 0.0234364i | ||||
\(470\) | −2.09034 | + | 0.525922i | −0.0964202 | + | 0.0242590i | ||||
\(471\) | −11.0111 | + | 13.4376i | −0.507363 | + | 0.619171i | ||||
\(472\) | −1.21410 | + | 1.64778i | −0.0558833 | + | 0.0758451i | ||||
\(473\) | 0.870460 | − | 1.30274i | 0.0400238 | − | 0.0598998i | ||||
\(474\) | 15.9187 | − | 14.4800i | 0.731169 | − | 0.665087i | ||||
\(475\) | −31.7164 | − | 9.62105i | −1.45525 | − | 0.441444i | ||||
\(476\) | 17.2894 | − | 1.73931i | 0.792460 | − | 0.0797212i | ||||
\(477\) | 14.3900 | + | 4.34156i | 0.658871 | + | 0.198787i | ||||
\(478\) | −0.778891 | + | 3.12333i | −0.0356256 | + | 0.142858i | ||||
\(479\) | −0.804665 | − | 0.804665i | −0.0367661 | − | 0.0367661i | 0.688485 | − | 0.725251i | \(-0.258276\pi\) |
−0.725251 | + | 0.688485i | \(0.758276\pi\) | |||||||
\(480\) | −3.53478 | − | 0.502788i | −0.161340 | − | 0.0229490i | ||||
\(481\) | −6.92438 | + | 6.92438i | −0.315724 | + | 0.315724i | ||||
\(482\) | 5.51070 | + | 9.17233i | 0.251006 | + | 0.417788i | ||||
\(483\) | 10.1264 | + | 6.75522i | 0.460765 | + | 0.307373i | ||||
\(484\) | −10.3593 | − | 19.2839i | −0.470877 | − | 0.876543i | ||||
\(485\) | −1.34533 | + | 4.43495i | −0.0610881 | + | 0.201381i | ||||
\(486\) | 19.9738 | + | 9.32992i | 0.906030 | + | 0.423214i | ||||
\(487\) | 27.9363 | + | 18.6664i | 1.26591 | + | 0.845856i | 0.993221 | − | 0.116245i | \(-0.0370857\pi\) |
0.272693 | + | 0.962101i | \(0.412086\pi\) | |||||||
\(488\) | −4.37425 | − | 12.1056i | −0.198013 | − | 0.547994i | ||||
\(489\) | −5.62808 | + | 6.86834i | −0.254510 | + | 0.310597i | ||||
\(490\) | −1.34162 | + | 2.24366i | −0.0606081 | + | 0.101358i | ||||
\(491\) | 3.16576 | + | 32.1425i | 0.142869 | + | 1.45057i | 0.752870 | + | 0.658169i | \(0.228669\pi\) |
−0.610002 | + | 0.792400i | \(0.708831\pi\) | |||||||
\(492\) | 2.39317 | + | 1.27045i | 0.107892 | + | 0.0572765i | ||||
\(493\) | 48.1547 | − | 14.6076i | 2.16878 | − | 0.657892i | ||||
\(494\) | −1.49517 | + | 31.0971i | −0.0672707 | + | 1.39912i | ||||
\(495\) | −0.251032 | + | 0.0503252i | −0.0112830 | + | 0.00226195i | ||||
\(496\) | −27.1592 | − | 5.28451i | −1.21948 | − | 0.237281i | ||||
\(497\) | −18.6375 | + | 7.71992i | −0.836007 | + | 0.346286i | ||||
\(498\) | 18.7460 | − | 13.9552i | 0.840030 | − | 0.625348i | ||||
\(499\) | 0.286135 | − | 0.535321i | 0.0128092 | − | 0.0239642i | −0.875435 | − | 0.483335i | \(-0.839425\pi\) |
0.888244 | + | 0.459371i | \(0.151925\pi\) | |||||||
\(500\) | −1.41765 | − | 7.05007i | −0.0633994 | − | 0.315289i | ||||
\(501\) | −10.9350 | + | 26.4555i | −0.488539 | + | 1.18195i | ||||
\(502\) | −10.0658 | − | 13.5426i | −0.449258 | − | 0.604435i | ||||
\(503\) | −20.9985 | − | 4.17686i | −0.936277 | − | 0.186237i | −0.296706 | − | 0.954969i | \(-0.595888\pi\) |
−0.639571 | + | 0.768732i | \(0.720888\pi\) | |||||||
\(504\) | −6.00910 | + | 10.1317i | −0.267667 | + | 0.451303i | ||||
\(505\) | 1.05765 | + | 5.31716i | 0.0470647 | + | 0.236610i | ||||
\(506\) | 1.67462 | − | 0.0840211i | 0.0744460 | − | 0.00373520i | ||||
\(507\) | −3.11898 | + | 3.12367i | −0.138519 | + | 0.138727i | ||||
\(508\) | −2.79226 | − | 9.13613i | −0.123886 | − | 0.405350i | ||||
\(509\) | 3.80878 | − | 38.6712i | 0.168821 | − | 1.71407i | −0.421440 | − | 0.906856i | \(-0.638475\pi\) |
0.590261 | − | 0.807213i | \(-0.299025\pi\) | |||||||
\(510\) | 2.39749 | + | 5.04563i | 0.106163 | + | 0.223424i | ||||
\(511\) | 5.15962i | 0.228248i | ||||||||
\(512\) | −5.29158 | + | 22.0000i | −0.233857 | + | 0.972271i | ||||
\(513\) | −22.3854 | + | 27.4022i | −0.988338 | + | 1.20984i | ||||
\(514\) | −5.03309 | − | 33.6881i | −0.222000 | − | 1.48592i | ||||
\(515\) | 2.89369 | + | 0.285003i | 0.127511 | + | 0.0125587i | ||||
\(516\) | 19.2324 | − | 12.9298i | 0.846660 | − | 0.569202i | ||||
\(517\) | 0.461771 | + | 0.863913i | 0.0203087 | + | 0.0379949i | ||||
\(518\) | −0.298000 | − | 5.93943i | −0.0130934 | − | 0.260963i | ||||
\(519\) | 8.61319 | + | 16.0851i | 0.378077 | + | 0.706057i | ||||
\(520\) | −3.00765 | + | 1.43405i | −0.131894 | + | 0.0628875i | ||||
\(521\) | −5.34415 | + | 26.8669i | −0.234131 | + | 1.17706i | 0.667519 | + | 0.744593i | \(0.267356\pi\) |
−0.901650 | + | 0.432466i | \(0.857644\pi\) | |||||||
\(522\) | −11.4106 | + | 32.1481i | −0.499427 | + | 1.40708i | ||||
\(523\) | 24.9836 | − | 30.4426i | 1.09246 | − | 1.33116i | 0.153102 | − | 0.988210i | \(-0.451074\pi\) |
0.939354 | − | 0.342950i | \(-0.111426\pi\) | |||||||
\(524\) | 19.6760 | − | 3.95651i | 0.859549 | − | 0.172841i | ||||
\(525\) | −11.4802 | − | 2.27459i | −0.501035 | − | 0.0992711i | ||||
\(526\) | −2.89817 | − | 8.07326i | −0.126366 | − | 0.352011i | ||||
\(527\) | 16.5666 | + | 39.9954i | 0.721655 | + | 1.74223i | ||||
\(528\) | 0.166993 | + | 1.61397i | 0.00726746 | + | 0.0702390i | ||||
\(529\) | 1.00583 | − | 2.42829i | 0.0437318 | − | 0.105578i | ||||
\(530\) | −2.57897 | − | 0.123998i | −0.112023 | − | 0.00538614i | ||||
\(531\) | −1.37469 | + | 1.68020i | −0.0596564 | + | 0.0729145i | ||||
\(532\) | −13.3969 | − | 13.3411i | −0.580831 | − | 0.578411i | ||||
\(533\) | 2.51645 | − | 0.247848i | 0.108999 | − | 0.0107355i | ||||
\(534\) | −21.6111 | − | 5.37210i | −0.935203 | − | 0.232474i | ||||
\(535\) | −2.87737 | − | 4.30629i | −0.124400 | − | 0.186177i | ||||
\(536\) | 9.92209 | − | 3.58527i | 0.428569 | − | 0.154860i | ||||
\(537\) | 2.32383 | + | 0.703022i | 0.100281 | + | 0.0303376i | ||||
\(538\) | 0.144921 | − | 0.406363i | 0.00624797 | − | 0.0175195i | ||||
\(539\) | 1.13688 | + | 0.344870i | 0.0489691 | + | 0.0148546i | ||||
\(540\) | −3.71735 | − | 0.722671i | −0.159969 | − | 0.0310988i | ||||
\(541\) | 6.65674 | + | 8.11126i | 0.286196 | + | 0.348730i | 0.896186 | − | 0.443678i | \(-0.146327\pi\) |
−0.609990 | + | 0.792409i | \(0.708827\pi\) | |||||||
\(542\) | 26.3741 | − | 15.8455i | 1.13287 | − | 0.680622i | ||||
\(543\) | 21.0237 | + | 11.2171i | 0.902215 | + | 0.481374i | ||||
\(544\) | 33.2711 | − | 12.1008i | 1.42649 | − | 0.518819i | ||||
\(545\) | 0.144001 | − | 0.144001i | 0.00616833 | − | 0.00616833i | ||||
\(546\) | 0.559123 | + | 10.9792i | 0.0239282 | + | 0.469865i | ||||
\(547\) | 1.65827 | + | 2.02061i | 0.0709024 | + | 0.0863948i | 0.807254 | − | 0.590205i | \(-0.200953\pi\) |
−0.736351 | + | 0.676599i | \(0.763453\pi\) | |||||||
\(548\) | −1.45461 | − | 14.4593i | −0.0621377 | − | 0.617672i | ||||
\(549\) | −3.98270 | − | 13.0586i | −0.169978 | − | 0.557328i | ||||
\(550\) | −1.45657 | + | 0.690767i | −0.0621083 | + | 0.0294544i | ||||
\(551\) | −45.5249 | − | 30.4188i | −1.93943 | − | 1.29588i | ||||
\(552\) | 23.3833 | + | 8.26443i | 0.995260 | + | 0.351758i | ||||
\(553\) | 6.77574 | + | 10.1406i | 0.288134 | + | 0.431222i | ||||
\(554\) | −7.83475 | − | 31.1401i | −0.332867 | − | 1.32302i | ||||
\(555\) | 1.76573 | − | 0.732944i | 0.0749512 | − | 0.0311117i | ||||
\(556\) | −4.55936 | + | 11.0726i | −0.193360 | + | 0.469583i | ||||
\(557\) | 12.9051 | − | 3.91473i | 0.546808 | − | 0.165872i | −0.00478063 | − | 0.999989i | \(-0.501522\pi\) |
0.551589 | + | 0.834116i | \(0.314022\pi\) | |||||||
\(558\) | −28.4854 | − | 7.05823i | −1.20588 | − | 0.298799i | ||||
\(559\) | 8.27658 | − | 19.9814i | 0.350062 | − | 0.845124i | ||||
\(560\) | 0.579303 | − | 1.93881i | 0.0244800 | − | 0.0819297i | ||||
\(561\) | 1.96126 | − | 1.61203i | 0.0828044 | − | 0.0680599i | ||||
\(562\) | −42.3728 | − | 19.9867i | −1.78739 | − | 0.843090i | ||||
\(563\) | −9.12670 | + | 17.0749i | −0.384645 | + | 0.719619i | −0.997507 | − | 0.0705704i | \(-0.977518\pi\) |
0.612862 | + | 0.790190i | \(0.290018\pi\) | |||||||
\(564\) | 1.46111 | + | 14.4153i | 0.0615238 | + | 0.606995i | ||||
\(565\) | 0.562369 | − | 0.685249i | 0.0236591 | − | 0.0288286i | ||||
\(566\) | 0.392344 | − | 2.66413i | 0.0164915 | − | 0.111982i | ||||
\(567\) | −6.91021 | + | 10.4094i | −0.290202 | + | 0.437153i | ||||
\(568\) | −32.9356 | + | 24.5870i | −1.38195 | + | 1.03165i | ||||
\(569\) | −5.75598 | − | 28.9373i | −0.241303 | − | 1.21311i | −0.891384 | − | 0.453248i | \(-0.850265\pi\) |
0.650081 | − | 0.759865i | \(-0.274735\pi\) | |||||||
\(570\) | 2.58887 | − | 5.49922i | 0.108436 | − | 0.230337i | ||||
\(571\) | −4.21146 | − | 7.87909i | −0.176244 | − | 0.329730i | 0.778252 | − | 0.627952i | \(-0.216106\pi\) |
−0.954497 | + | 0.298222i | \(0.903606\pi\) | |||||||
\(572\) | 0.963089 | + | 1.16854i | 0.0402688 | + | 0.0488593i | ||||
\(573\) | 14.8610 | − | 2.96763i | 0.620826 | − | 0.123974i | ||||
\(574\) | −0.913469 | + | 1.23436i | −0.0381275 | + | 0.0515212i | ||||
\(575\) | 24.6400i | 1.02756i | ||||||||
\(576\) | −6.78831 | + | 23.0200i | −0.282846 | + | 0.959165i | ||||
\(577\) | 28.7585i | 1.19723i | 0.801036 | + | 0.598617i | \(0.204283\pi\) | ||||
−0.801036 | + | 0.598617i | \(0.795717\pi\) | |||||||
\(578\) | −25.2010 | − | 18.6496i | −1.04822 | − | 0.775721i | ||||
\(579\) | 6.84348 | − | 1.36659i | 0.284405 | − | 0.0567937i | ||||
\(580\) | 0.562196 | − | 5.83288i | 0.0233439 | − | 0.242197i | ||||
\(581\) | 6.24366 | + | 11.6811i | 0.259031 | + | 0.484613i | ||||
\(582\) | 28.1860 | + | 13.2692i | 1.16835 | + | 0.550024i | ||||
\(583\) | 0.228917 | + | 1.15085i | 0.00948079 | + | 0.0476631i | ||||
\(584\) | 2.58618 | + | 10.1891i | 0.107017 | + | 0.421630i | ||||
\(585\) | −3.26310 | + | 1.35736i | −0.134913 | + | 0.0561201i | ||||
\(586\) | 14.1631 | + | 2.08579i | 0.585071 | + | 0.0861630i | ||||
\(587\) | −10.8758 | + | 13.2522i | −0.448891 | + | 0.546975i | −0.947460 | − | 0.319875i | \(-0.896359\pi\) |
0.498569 | + | 0.866850i | \(0.333859\pi\) | |||||||
\(588\) | 13.6154 | + | 11.1093i | 0.561488 | + | 0.458140i | ||||
\(589\) | 22.2039 | − | 41.5407i | 0.914898 | − | 1.71165i | ||||
\(590\) | 0.159090 | − | 0.337279i | 0.00654965 | − | 0.0138856i | ||||
\(591\) | 34.6048 | − | 28.4429i | 1.42345 | − | 1.16999i | ||||
\(592\) | −3.56553 | − | 11.5797i | −0.146543 | − | 0.475924i | ||||
\(593\) | 7.11924 | − | 17.1874i | 0.292352 | − | 0.705801i | −0.707647 | − | 0.706566i | \(-0.750243\pi\) |
1.00000 | 0.000764900i | \(0.000243475\pi\) | ||||||||
\(594\) | 0.0901107 | + | 1.71865i | 0.00369729 | + | 0.0705171i | ||||
\(595\) | −3.02969 | + | 0.919047i | −0.124205 | + | 0.0376773i | ||||
\(596\) | −16.0647 | + | 6.69355i | −0.658037 | + | 0.274179i | ||||
\(597\) | 38.9387 | − | 16.1632i | 1.59366 | − | 0.661515i | ||||
\(598\) | 22.4458 | − | 5.64729i | 0.917878 | − | 0.230935i | ||||
\(599\) | 17.1982 | + | 25.7390i | 0.702701 | + | 1.05167i | 0.995432 | + | 0.0954712i | \(0.0304358\pi\) |
−0.292732 | + | 0.956195i | \(0.594564\pi\) | |||||||
\(600\) | −23.8109 | + | 1.26243i | −0.972077 | + | 0.0515386i | ||||
\(601\) | −37.6688 | − | 25.1695i | −1.53654 | − | 1.02669i | −0.980727 | − | 0.195381i | \(-0.937406\pi\) |
−0.555817 | − | 0.831305i | \(-0.687594\pi\) | |||||||
\(602\) | 5.62801 | + | 11.8674i | 0.229381 | + | 0.483678i | ||||
\(603\) | 10.7032 | − | 3.26434i | 0.435869 | − | 0.132934i | ||||
\(604\) | −28.8678 | − | 23.5905i | −1.17461 | − | 0.959884i | ||||
\(605\) | 2.53021 | + | 3.08307i | 0.102868 | + | 0.125345i | ||||
\(606\) | 36.3950 | − | 1.85345i | 1.47845 | − | 0.0752911i | ||||
\(607\) | −10.2266 | + | 10.2266i | −0.415086 | + | 0.415086i | −0.883506 | − | 0.468420i | \(-0.844823\pi\) |
0.468420 | + | 0.883506i | \(0.344823\pi\) | |||||||
\(608\) | −33.1431 | − | 19.6308i | −1.34413 | − | 0.796136i | ||||
\(609\) | −17.0576 | − | 9.10100i | −0.691207 | − | 0.368791i | ||||
\(610\) | 1.20777 | + | 2.01029i | 0.0489014 | + | 0.0813942i | ||||
\(611\) | 8.57828 | + | 10.4527i | 0.347040 | + | 0.422869i | ||||
\(612\) | 35.8946 | − | 11.0293i | 1.45095 | − | 0.445835i | ||||
\(613\) | 6.40177 | + | 1.94196i | 0.258565 | + | 0.0784349i | 0.416906 | − | 0.908950i | \(-0.363114\pi\) |
−0.158341 | + | 0.987385i | \(0.550614\pi\) | |||||||
\(614\) | −21.8536 | − | 7.79363i | −0.881941 | − | 0.314525i | ||||
\(615\) | −0.472516 | − | 0.142949i | −0.0190537 | − | 0.00576426i | ||||
\(616\) | −0.918631 | − | 0.0422463i | −0.0370127 | − | 0.00170215i | ||||
\(617\) | −12.8196 | − | 19.1859i | −0.516097 | − | 0.772394i | 0.478290 | − | 0.878202i | \(-0.341257\pi\) |
−0.994387 | + | 0.105809i | \(0.966257\pi\) | |||||||
\(618\) | 4.71514 | − | 18.9682i | 0.189671 | − | 0.763015i | ||||
\(619\) | 26.9542 | − | 2.65475i | 1.08338 | − | 0.106704i | 0.459464 | − | 0.888196i | \(-0.348041\pi\) |
0.623914 | + | 0.781493i | \(0.285541\pi\) | |||||||
\(620\) | 5.04117 | − | 0.0105241i | 0.202458 | − | 0.000422658i | ||||
\(621\) | 24.3255 | + | 10.0118i | 0.976148 | + | 0.401761i | ||||
\(622\) | −0.888558 | + | 18.4806i | −0.0356279 | + | 0.741005i | ||||
\(623\) | 4.82979 | − | 11.6601i | 0.193501 | − | 0.467154i | ||||
\(624\) | 6.60729 | + | 21.4012i | 0.264503 | + | 0.856735i | ||||
\(625\) | −8.81161 | − | 21.2731i | −0.352464 | − | 0.850924i | ||||
\(626\) | −5.86527 | + | 2.10554i | −0.234423 | + | 0.0841542i | ||||
\(627\) | −2.70959 | − | 0.536858i | −0.108211 | − | 0.0214400i | ||||
\(628\) | −16.7028 | − | 11.1101i | −0.666513 | − | 0.443340i | ||||
\(629\) | −12.0264 | + | 14.6542i | −0.479524 | + | 0.584301i | ||||
\(630\) | 0.717905 | − | 2.02262i | 0.0286020 | − | 0.0805833i | ||||
\(631\) | 4.74394 | − | 23.8494i | 0.188853 | − | 0.949429i | −0.763819 | − | 0.645430i | \(-0.776678\pi\) |
0.952672 | − | 0.303999i | \(-0.0983220\pi\) | |||||||
\(632\) | 18.4635 | + | 16.6293i | 0.734437 | + | 0.661477i | ||||
\(633\) | −16.7469 | − | 31.2748i | −0.665631 | − | 1.24306i | ||||
\(634\) | 25.7857 | − | 1.29375i | 1.02408 | − | 0.0513816i | ||||
\(635\) | 0.820516 | + | 1.53508i | 0.0325612 | + | 0.0609177i | ||||
\(636\) | −3.33764 | + | 17.0319i | −0.132346 | + | 0.675360i | ||||
\(637\) | 16.3206 | + | 1.60744i | 0.646646 | + | 0.0636891i | ||||
\(638\) | −2.63386 | + | 0.393507i | −0.104276 | + | 0.0155791i | ||||
\(639\) | −36.2107 | + | 24.2739i | −1.43247 | + | 0.960260i | ||||
\(640\) | 0.172199 | − | 4.11910i | 0.00680676 | − | 0.162822i | ||||
\(641\) | − | 17.2720i | − | 0.682204i | −0.940026 | − | 0.341102i | \(-0.889200\pi\) | ||
0.940026 | − | 0.341102i | \(-0.110800\pi\) | |||||||
\(642\) | −31.4449 | + | 14.9414i | −1.24103 | + | 0.589691i | ||||
\(643\) | 1.64863 | − | 16.7388i | 0.0650157 | − | 0.660115i | −0.906350 | − | 0.422527i | \(-0.861143\pi\) |
0.971366 | − | 0.237588i | \(-0.0763569\pi\) | |||||||
\(644\) | −6.60001 | + | 12.4100i | −0.260077 | + | 0.489022i | ||||
\(645\) | −2.98345 | + | 2.98793i | −0.117473 | + | 0.117650i | ||||
\(646\) | 3.02015 | + | 60.1944i | 0.118826 | + | 2.36832i | ||||
\(647\) | 3.29426 | + | 16.5614i | 0.129511 | + | 0.651095i | 0.989936 | + | 0.141518i | \(0.0451982\pi\) |
−0.860425 | + | 0.509577i | \(0.829802\pi\) | |||||||
\(648\) | −8.42864 | + | 24.0200i | −0.331108 | + | 0.943593i | ||||
\(649\) | −0.166219 | − | 0.0330631i | −0.00652468 | − | 0.00129784i | ||||
\(650\) | −17.8597 | + | 13.2746i | −0.700516 | + | 0.520672i | ||||
\(651\) | 6.35340 | − | 15.3711i | 0.249009 | − | 0.602440i | ||||
\(652\) | −8.53727 | − | 5.67868i | −0.334345 | − | 0.222394i | ||||
\(653\) | −15.6556 | + | 29.2895i | −0.612649 | + | 1.14619i | 0.364011 | + | 0.931395i | \(0.381407\pi\) |
−0.976660 | + | 0.214791i | \(0.931093\pi\) | |||||||
\(654\) | −0.817440 | − | 1.09807i | −0.0319645 | − | 0.0429378i | ||||
\(655\) | −3.37836 | + | 1.39936i | −0.132003 | + | 0.0546776i | ||||
\(656\) | −1.18520 | + | 2.89546i | −0.0462743 | + | 0.113049i | ||||
\(657\) | 2.19165 | + | 10.9324i | 0.0855046 | + | 0.426513i | ||||
\(658\) | −8.20228 | − | 0.394370i | −0.319758 | − | 0.0153742i | ||||
\(659\) | 29.7080 | − | 9.01182i | 1.15726 | − | 0.351051i | 0.347424 | − | 0.937708i | \(-0.387056\pi\) |
0.809835 | + | 0.586657i | \(0.199556\pi\) | |||||||
\(660\) | −0.0866206 | − | 0.282659i | −0.00337170 | − | 0.0110025i | ||||
\(661\) | −2.69517 | − | 27.3645i | −0.104830 | − | 1.06436i | −0.893354 | − | 0.449353i | \(-0.851655\pi\) |
0.788525 | − | 0.615003i | \(-0.210845\pi\) | |||||||
\(662\) | −38.6349 | − | 23.1021i | −1.50159 | − | 0.897888i | ||||
\(663\) | 22.2116 | − | 27.1063i | 0.862626 | − | 1.05272i | ||||
\(664\) | 18.1849 | + | 19.9381i | 0.705710 | + | 0.773747i | ||||
\(665\) | 2.86424 | + | 1.91382i | 0.111070 | + | 0.0742148i | ||||
\(666\) | −3.15430 | − | 12.4581i | −0.122227 | − | 0.482741i | ||||
\(667\) | −11.8160 | + | 38.9520i | −0.457516 | + | 1.50823i | ||||
\(668\) | −31.6515 | − | 9.52927i | −1.22463 | − | 0.368699i | ||||
\(669\) | −22.6656 | − | 15.1201i | −0.876301 | − | 0.584575i | ||||
\(670\) | −1.64769 | + | 0.989928i | −0.0636559 | + | 0.0382442i | ||||
\(671\) | 0.753635 | − | 0.753635i | 0.0290937 | − | 0.0290937i | ||||
\(672\) | −12.3306 | − | 5.74211i | −0.475663 | − | 0.221507i | ||||
\(673\) | 3.53187 | + | 3.53187i | 0.136144 | + | 0.136144i | 0.771894 | − | 0.635751i | \(-0.219309\pi\) |
−0.635751 | + | 0.771894i | \(0.719309\pi\) | |||||||
\(674\) | 48.3988 | + | 12.0696i | 1.86425 | + | 0.464904i | ||||
\(675\) | −25.2907 | + | 0.0569518i | −0.973440 | + | 0.00219207i | ||||
\(676\) | −3.94686 | − | 3.22534i | −0.151802 | − | 0.124051i | ||||
\(677\) | 7.03619 | + | 2.13441i | 0.270423 | + | 0.0820319i | 0.422584 | − | 0.906324i | \(-0.361123\pi\) |
−0.152161 | + | 0.988356i | \(0.548623\pi\) | |||||||
\(678\) | −4.00963 | − | 4.40803i | −0.153989 | − | 0.169289i | ||||
\(679\) | −9.80921 | + | 14.6805i | −0.376443 | + | 0.563387i | ||||
\(680\) | −5.52234 | + | 3.33351i | −0.211772 | + | 0.127834i | ||||
\(681\) | −23.3959 | + | 28.5517i | −0.896535 | + | 1.09410i | ||||
\(682\) | −0.558990 | − | 2.22177i | −0.0214048 | − | 0.0850761i | ||||
\(683\) | 12.3672 | − | 1.21806i | 0.473216 | − | 0.0466078i | 0.141402 | − | 0.989952i | \(-0.454839\pi\) |
0.331815 | + | 0.943345i | \(0.392339\pi\) | |||||||
\(684\) | −34.0528 | − | 22.5770i | −1.30204 | − | 0.863254i | ||||
\(685\) | 0.768609 | + | 2.53377i | 0.0293671 | + | 0.0968102i | ||||
\(686\) | −17.5456 | + | 15.9358i | −0.669893 | + | 0.608431i | ||||
\(687\) | 0.838353 | − | 8.57795i | 0.0319852 | − | 0.327269i | ||||
\(688\) | 17.0625 | + | 20.6145i | 0.650500 | + | 0.785922i | ||||
\(689\) | 6.19846 | + | 14.9644i | 0.236143 | + | 0.570099i | ||||
\(690\) | −4.47097 | − | 0.655008i | −0.170207 | − | 0.0249357i | ||||
\(691\) | 3.10721 | + | 1.66084i | 0.118204 | + | 0.0631812i | 0.529439 | − | 0.848348i | \(-0.322402\pi\) |
−0.411235 | + | 0.911529i | \(0.634902\pi\) | |||||||
\(692\) | −17.4935 | + | 11.7417i | −0.665003 | + | 0.446352i | ||||
\(693\) | −0.970831 | − | 0.0941471i | −0.0368788 | − | 0.00357635i | ||||
\(694\) | 2.21152 | − | 15.0169i | 0.0839483 | − | 0.570032i | ||||
\(695\) | 0.425640 | − | 2.13984i | 0.0161454 | − | 0.0811686i | ||||
\(696\) | −38.2468 | − | 9.42268i | −1.44974 | − | 0.357166i | ||||
\(697\) | 4.80108 | − | 0.954994i | 0.181854 | − | 0.0361730i | ||||
\(698\) | 16.3755 | − | 18.1055i | 0.619823 | − | 0.685305i | ||||
\(699\) | 27.1720 | − | 27.2129i | 1.02774 | − | 1.02928i | ||||
\(700\) | 1.29651 | − | 13.4515i | 0.0490034 | − | 0.508418i | ||||
\(701\) | −52.3213 | − | 5.15320i | −1.97615 | − | 0.194633i | −0.976377 | − | 0.216074i | \(-0.930675\pi\) |
−0.999770 | + | 0.0214408i | \(0.993175\pi\) | |||||||
\(702\) | 5.84831 | + | 23.0255i | 0.220730 | + | 0.869043i | ||||
\(703\) | 20.6265 | 0.777943 | ||||||||
\(704\) | −1.83527 | + | 0.377023i | −0.0691695 | + | 0.0142096i | ||||
\(705\) | −0.768224 | − | 2.52567i | −0.0289330 | − | 0.0951222i | ||||
\(706\) | 38.1298 | + | 28.2173i | 1.43503 | + | 1.06197i | ||||
\(707\) | −2.02441 | + | 20.5542i | −0.0761359 | + | 0.773020i | ||||
\(708\) | −2.08823 | − | 1.38675i | −0.0784805 | − | 0.0521174i | ||||
\(709\) | 15.2539 | − | 8.15338i | 0.572872 | − | 0.306207i | −0.159405 | − | 0.987213i | \(-0.550958\pi\) |
0.732277 | + | 0.681007i | \(0.238458\pi\) | |||||||
\(710\) | 5.02320 | − | 5.55388i | 0.188517 | − | 0.208433i | ||||
\(711\) | 18.6641 | + | 18.6081i | 0.699958 | + | 0.697860i | ||||
\(712\) | 3.69333 | − | 25.4471i | 0.138413 | − | 0.953672i | ||||
\(713\) | −34.3447 | − | 6.83159i | −1.28622 | − | 0.255845i | ||||
\(714\) | 3.16049 | + | 21.0460i | 0.118278 | + | 0.787628i | ||||
\(715\) | −0.213274 | − | 0.175029i | −0.00797598 | − | 0.00654572i | ||||
\(716\) | −0.541182 | + | 2.75070i | −0.0202249 | + | 0.102799i | ||||
\(717\) | −3.86726 | − | 0.766229i | −0.144426 | − | 0.0286153i | ||||
\(718\) | −10.2034 | + | 21.6316i | −0.380786 | + | 0.807284i | ||||
\(719\) | 44.3262 | − | 18.3605i | 1.65309 | − | 0.684731i | 0.655568 | − | 0.755136i | \(-0.272429\pi\) |
0.997518 | + | 0.0704053i | \(0.0224292\pi\) | |||||||
\(720\) | 0.403898 | − | 4.35409i | 0.0150524 | − | 0.162267i | ||||
\(721\) | 10.2342 | + | 4.23915i | 0.381142 | + | 0.157874i | ||||
\(722\) | 28.6527 | − | 26.0239i | 1.06634 | − | 0.968508i | ||||
\(723\) | −10.8912 | + | 7.28910i | −0.405048 | + | 0.271084i | ||||
\(724\) | −10.4766 | + | 25.4428i | −0.389359 | + | 0.945575i | ||||
\(725\) | −3.83590 | − | 38.9465i | −0.142462 | − | 1.44644i | ||||
\(726\) | 22.9710 | − | 13.8244i | 0.852532 | − | 0.513070i | ||||
\(727\) | −5.55991 | + | 3.71501i | −0.206206 | + | 0.137782i | −0.654385 | − | 0.756161i | \(-0.727073\pi\) |
0.448180 | + | 0.893944i | \(0.352073\pi\) | |||||||
\(728\) | −12.5508 | + | 1.90192i | −0.465163 | + | 0.0704898i | ||||
\(729\) | −10.2200 | + | 24.9910i | −0.378519 | + | 0.925594i | ||||
\(730\) | −0.820712 | − | 1.73057i | −0.0303759 | − | 0.0640514i | ||||
\(731\) | 12.1539 | − | 40.0661i | 0.449529 | − | 1.48190i | ||||
\(732\) | 14.5473 | − | 6.07412i | 0.537684 | − | 0.224506i | ||||
\(733\) | −37.1824 | + | 30.5148i | −1.37336 | + | 1.12709i | −0.395355 | + | 0.918528i | \(0.629378\pi\) |
−0.978009 | + | 0.208562i | \(0.933122\pi\) | |||||||
\(734\) | 11.7779 | + | 2.93715i | 0.434731 | + | 0.108412i | ||||
\(735\) | −2.82479 | − | 1.50715i | −0.104194 | − | 0.0555922i | ||||
\(736\) | −6.81327 | + | 27.8152i | −0.251141 | + | 1.02528i | ||||
\(737\) | 0.617701 | + | 0.617701i | 0.0227533 | + | 0.0227533i | ||||
\(738\) | −1.41117 | + | 3.00342i | −0.0519459 | + | 0.110557i | ||||
\(739\) | −16.4924 | + | 13.5350i | −0.606683 | + | 0.497892i | −0.886849 | − | 0.462060i | \(-0.847111\pi\) |
0.280166 | + | 0.959952i | \(0.409611\pi\) | |||||||
\(740\) | 1.04470 | + | 1.94472i | 0.0384040 | + | 0.0714895i | ||||
\(741\) | −38.1300 | + | 0.0286214i | −1.40074 | + | 0.00105143i | ||||
\(742\) | −9.26492 | − | 3.30414i | −0.340126 | − | 0.121299i | ||||
\(743\) | 2.13834 | − | 3.20025i | 0.0784480 | − | 0.117406i | −0.790171 | − | 0.612887i | \(-0.790008\pi\) |
0.868619 | + | 0.495481i | \(0.165008\pi\) | |||||||
\(744\) | 4.84207 | − | 33.5391i | 0.177519 | − | 1.22960i | ||||
\(745\) | 2.63650 | − | 1.76165i | 0.0965938 | − | 0.0645419i | ||||
\(746\) | −22.1862 | − | 13.2664i | −0.812294 | − | 0.485718i | ||||
\(747\) | 18.1911 | + | 22.0981i | 0.665576 | + | 0.808529i | ||||
\(748\) | 2.07719 | + | 2.06853i | 0.0759496 | + | 0.0756331i | ||||
\(749\) | −5.72760 | − | 18.8814i | −0.209282 | − | 0.689910i | ||||
\(750\) | 8.53958 | − | 2.15535i | 0.311821 | − | 0.0787021i | ||||
\(751\) | −13.5951 | − | 5.63126i | −0.496091 | − | 0.205488i | 0.120588 | − | 0.992703i | \(-0.461522\pi\) |
−0.616679 | + | 0.787215i | \(0.711522\pi\) | |||||||
\(752\) | −16.3954 | + | 3.33248i | −0.597879 | + | 0.121523i | ||||
\(753\) | 15.9652 | − | 13.1223i | 0.581803 | − | 0.478205i | ||||
\(754\) | −34.5992 | + | 12.4205i | −1.26003 | + | 0.452330i | ||||
\(755\) | 5.99049 | + | 3.20198i | 0.218016 | + | 0.116532i | ||||
\(756\) | −12.7530 | − | 6.74562i | −0.463821 | − | 0.245336i | ||||
\(757\) | −26.6026 | − | 21.8322i | −0.966886 | − | 0.793503i | 0.0115751 | − | 0.999933i | \(-0.496315\pi\) |
−0.978461 | + | 0.206430i | \(0.933815\pi\) | |||||||
\(758\) | 31.8616 | − | 23.6818i | 1.15726 | − | 0.860160i | ||||
\(759\) | 0.202818 | + | 2.04352i | 0.00736184 | + | 0.0741752i | ||||
\(760\) | 6.61553 | + | 2.34373i | 0.239970 | + | 0.0850161i | ||||
\(761\) | 16.5166 | − | 3.28535i | 0.598726 | − | 0.119094i | 0.113582 | − | 0.993529i | \(-0.463767\pi\) |
0.485143 | + | 0.874435i | \(0.338767\pi\) | |||||||
\(762\) | 11.0093 | − | 3.96150i | 0.398825 | − | 0.143510i | ||||
\(763\) | 0.684230 | − | 0.365729i | 0.0247708 | − | 0.0132403i | ||||
\(764\) | 5.11457 | + | 16.7346i | 0.185039 | + | 0.605438i | ||||
\(765\) | −6.02904 | + | 3.23423i | −0.217980 | + | 0.116934i | ||||
\(766\) | −10.4689 | + | 1.56408i | −0.378255 | + | 0.0565124i | ||||
\(767\) | −2.33942 | −0.0844716 | ||||||||
\(768\) | −27.2284 | − | 5.15891i | −0.982520 | − | 0.186156i | ||||
\(769\) | 11.6389 | 0.419708 | 0.209854 | − | 0.977733i | \(-0.432701\pi\) | ||||
0.209854 | + | 0.977733i | \(0.432701\pi\) | |||||||
\(770\) | 0.165712 | − | 0.0247578i | 0.00597183 | − | 0.000892209i | ||||
\(771\) | 40.9095 | − | 8.16933i | 1.47332 | − | 0.294211i | ||||
\(772\) | 2.35526 | + | 7.70631i | 0.0847678 | + | 0.277356i | ||||
\(773\) | −8.57280 | + | 4.58226i | −0.308342 | + | 0.164812i | −0.618309 | − | 0.785935i | \(-0.712182\pi\) |
0.309967 | + | 0.950747i | \(0.399682\pi\) | |||||||
\(774\) | 16.9657 | + | 22.7544i | 0.609821 | + | 0.817889i | ||||
\(775\) | 33.0202 | − | 6.56813i | 1.18612 | − | 0.235934i | ||||
\(776\) | −12.0127 | + | 33.9076i | −0.431230 | + | 1.21721i | ||||
\(777\) | 7.24782 | − | 0.719342i | 0.260014 | − | 0.0258062i | ||||
\(778\) | −19.9442 | + | 14.8240i | −0.715036 | + | 0.531465i | ||||
\(779\) | −4.11717 | − | 3.37888i | −0.147513 | − | 0.121061i | ||||
\(780\) | −1.93393 | − | 3.59355i | −0.0692457 | − | 0.128670i | ||||
\(781\) | −3.00139 | − | 1.60427i | −0.107398 | − | 0.0574054i | ||||
\(782\) | 42.1719 | − | 15.1390i | 1.50806 | − | 0.541370i | ||||
\(783\) | −40.0080 | − | 12.0380i | −1.42977 | − | 0.430202i | ||||
\(784\) | −11.2026 | + | 16.9183i | −0.400091 | + | 0.604225i | ||||
\(785\) | 3.37676 | + | 1.39870i | 0.120522 | + | 0.0499217i | ||||
\(786\) | 6.01533 | + | 23.8330i | 0.214560 | + | 0.850096i | ||||
\(787\) | −3.88088 | − | 12.7936i | −0.138339 | − | 0.456041i | 0.860208 | − | 0.509944i | \(-0.170334\pi\) |
−0.998546 | + | 0.0539029i | \(0.982834\pi\) | |||||||
\(788\) | 36.6503 | + | 36.4976i | 1.30561 | + | 1.30017i | ||||
\(789\) | 9.70279 | − | 4.02756i | 0.345429 | − | 0.143385i | ||||
\(790\) | −3.88564 | − | 2.32345i | −0.138245 | − | 0.0826647i | ||||
\(791\) | 2.80802 | − | 1.87626i | 0.0998418 | − | 0.0667122i | ||||
\(792\) | −1.96437 | + | 0.300694i | −0.0698009 | + | 0.0106847i | ||||
\(793\) | 8.17365 | − | 12.2327i | 0.290255 | − | 0.434397i | ||||
\(794\) | −31.7265 | − | 11.3146i | −1.12593 | − | 0.401540i | ||||
\(795\) | −0.00237365 | − | 3.16223i | −8.41848e−5 | − | 0.112153i | ||||
\(796\) | 23.0382 | + | 42.8859i | 0.816569 | + | 1.52005i | ||||
\(797\) | 21.9654 | − | 18.0265i | 0.778054 | − | 0.638533i | −0.159173 | − | 0.987251i | \(-0.550883\pi\) |
0.937228 | + | 0.348718i | \(0.113383\pi\) | |||||||
\(798\) | 15.5197 | − | 17.1853i | 0.549393 | − | 0.608352i | ||||
\(799\) | 18.5101 | + | 18.5101i | 0.654839 | + | 0.654839i | ||||
\(800\) | −4.18203 | − | 27.2137i | −0.147857 | − | 0.962148i | ||||
\(801\) | 5.28065 | − | 26.7575i | 0.186582 | − | 0.945429i | ||||
\(802\) | 22.6368 | + | 5.64512i | 0.799333 | + | 0.199336i | ||||
\(803\) | −0.672856 | + | 0.552199i | −0.0237446 | + | 0.0194867i | ||||
\(804\) | 4.97853 | + | 11.9234i | 0.175579 | + | 0.420506i | ||||
\(805\) | 0.743411 | − | 2.45070i | 0.0262018 | − | 0.0863757i | ||||
\(806\) | −13.5512 | − | 28.5744i | −0.477321 | − | 1.00649i | ||||
\(807\) | 0.505756 | + | 0.153005i | 0.0178034 | + | 0.00538602i | ||||
\(808\) | 6.30471 | + | 41.6048i | 0.221799 | + | 1.46365i | ||||
\(809\) | 18.3995 | − | 12.2942i | 0.646893 | − | 0.432240i | −0.188365 | − | 0.982099i | \(-0.560319\pi\) |
0.835257 | + | 0.549859i | \(0.185319\pi\) | |||||||
\(810\) | 0.661972 | − | 4.59055i | 0.0232593 | − | 0.161296i | ||||
\(811\) | −2.54929 | − | 25.8834i | −0.0895176 | − | 0.908888i | −0.930125 | − | 0.367243i | \(-0.880302\pi\) |
0.840607 | − | 0.541645i | \(-0.182198\pi\) | |||||||
\(812\) | 8.50015 | − | 20.6430i | 0.298297 | − | 0.724426i | ||||
\(813\) | 20.9591 | + | 31.3166i | 0.735068 | + | 1.09832i | ||||
\(814\) | 0.742656 | − | 0.674518i | 0.0260301 | − | 0.0236418i | ||||
\(815\) | 1.72596 | + | 0.714915i | 0.0604577 | + | 0.0250424i | ||||
\(816\) | 16.7903 | + | 39.9773i | 0.587778 | + | 1.39948i | ||||
\(817\) | −42.0878 | + | 17.4333i | −1.47247 | + | 0.609915i | ||||
\(818\) | 8.07353 | − | 17.1162i | 0.282284 | − | 0.598455i | ||||
\(819\) | −13.3973 | + | 1.33983i | −0.468139 | + | 0.0468173i | ||||
\(820\) | 0.110041 | − | 0.559314i | 0.00384280 | − | 0.0195321i | ||||
\(821\) | 14.5449 | + | 11.9367i | 0.507620 | + | 0.416593i | 0.853032 | − | 0.521858i | \(-0.174761\pi\) |
−0.345413 | + | 0.938451i | \(0.612261\pi\) | |||||||
\(822\) | 17.6010 | − | 2.64315i | 0.613906 | − | 0.0921906i | ||||
\(823\) | 8.99852 | + | 1.78992i | 0.313669 | + | 0.0623926i | 0.349414 | − | 0.936968i | \(-0.386381\pi\) |
−0.0357456 | + | 0.999361i | \(0.511381\pi\) | |||||||
\(824\) | 22.3352 | + | 3.24167i | 0.778083 | + | 0.112929i | ||||
\(825\) | −0.932017 | − | 1.74054i | −0.0324487 | − | 0.0605977i | ||||
\(826\) | 0.952986 | − | 1.05367i | 0.0331586 | − | 0.0366618i | ||||
\(827\) | −9.29596 | + | 4.96880i | −0.323252 | + | 0.172782i | −0.625039 | − | 0.780594i | \(-0.714917\pi\) |
0.301787 | + | 0.953375i | \(0.402417\pi\) | |||||||
\(828\) | −8.71293 | + | 29.0982i | −0.302795 | + | 1.01123i | ||||
\(829\) | 2.51105 | − | 25.4951i | 0.0872123 | − | 0.885481i | −0.847670 | − | 0.530524i | \(-0.821995\pi\) |
0.934882 | − | 0.354958i | \(-0.115505\pi\) | |||||||
\(830\) | −3.95221 | − | 2.92477i | −0.137183 | − | 0.101520i | ||||
\(831\) | 37.6253 | − | 11.4444i | 1.30521 | − | 0.397001i | ||||
\(832\) | −23.8318 | + | 10.0468i | −0.826219 | + | 0.348309i | ||||
\(833\) | 31.7478 | 1.10000 | ||||||||
\(834\) | −13.8173 | − | 4.91597i | −0.478455 | − | 0.170226i | ||||
\(835\) | 5.99357 | + | 0.590316i | 0.207416 | + | 0.0204287i | ||||
\(836\) | 0.306007 | − | 3.17488i | 0.0105835 | − | 0.109805i | ||||
\(837\) | 6.93262 | − | 35.2675i | 0.239626 | − | 1.21902i | ||||
\(838\) | −4.97005 | + | 5.49512i | −0.171687 | + | 0.189826i | ||||
\(839\) | −8.78450 | + | 1.74735i | −0.303275 | + | 0.0603251i | −0.344382 | − | 0.938830i | \(-0.611911\pi\) |
0.0411072 | + | 0.999155i | \(0.486911\pi\) | |||||||
\(840\) | 2.40633 | + | 0.592835i | 0.0830262 | + | 0.0204548i | ||||
\(841\) | 6.95499 | − | 34.9651i | 0.239827 | − | 1.20569i | ||||
\(842\) | −5.95805 | + | 40.4568i | −0.205328 | + | 1.39423i | ||||
\(843\) | 21.9183 | − | 53.0280i | 0.754907 | − | 1.82638i | ||||
\(844\) | 34.0132 | − | 22.8298i | 1.17078 | − | 0.785833i | ||||
\(845\) | 0.819030 | + | 0.437781i | 0.0281755 | + | 0.0150601i | ||||
\(846\) | −17.5468 | + | 2.64848i | −0.603271 | + | 0.0910566i | ||||
\(847\) | 5.81473 | + | 14.0380i | 0.199796 | + | 0.482351i | ||||
\(848\) | −19.9524 | − | 1.88106i | −0.685167 | − | 0.0645958i | ||||
\(849\) | 3.28243 | + | 0.320803i | 0.112653 | + | 0.0110099i | ||||
\(850\) | −31.8892 | + | 28.9633i | −1.09379 | + | 0.993434i | ||||
\(851\) | −4.45135 | − | 14.6741i | −0.152590 | − | 0.503023i | ||||
\(852\) | −32.0444 | − | 38.8210i | −1.09782 | − | 1.32998i | ||||
\(853\) | 22.5970 | − | 2.22561i | 0.773705 | − | 0.0762033i | 0.296544 | − | 0.955019i | \(-0.404166\pi\) |
0.477161 | + | 0.878816i | \(0.341666\pi\) | |||||||
\(854\) | 2.17996 | + | 8.66451i | 0.0745967 | + | 0.296493i | ||||
\(855\) | 6.88178 | + | 2.83843i | 0.235352 | + | 0.0970722i | ||||
\(856\) | −20.7748 | − | 34.4158i | −0.710067 | − | 1.17631i | ||||
\(857\) | −6.14675 | + | 9.19927i | −0.209969 | + | 0.314241i | −0.921474 | − | 0.388440i | \(-0.873014\pi\) |
0.711505 | + | 0.702681i | \(0.248014\pi\) | |||||||
\(858\) | −1.37193 | + | 1.24794i | −0.0468370 | + | 0.0426039i | ||||
\(859\) | −2.94985 | − | 0.894826i | −0.100647 | − | 0.0305311i | 0.239559 | − | 0.970882i | \(-0.422997\pi\) |
−0.340207 | + | 0.940351i | \(0.610497\pi\) | |||||||
\(860\) | −3.77535 | − | 3.08518i | −0.128738 | − | 0.105204i | ||||
\(861\) | −1.56455 | − | 1.04370i | −0.0533196 | − | 0.0355691i | ||||
\(862\) | 42.3429 | + | 10.5594i | 1.44221 | + | 0.359654i | ||||
\(863\) | 22.0499 | + | 22.0499i | 0.750589 | + | 0.750589i | 0.974589 | − | 0.224000i | \(-0.0719116\pi\) |
−0.224000 | + | 0.974589i | \(0.571912\pi\) | |||||||
\(864\) | −28.5655 | − | 6.92891i | −0.971819 | − | 0.235726i | ||||
\(865\) | 2.71437 | − | 2.71437i | 0.0922913 | − | 0.0922913i | ||||
\(866\) | 10.2228 | − | 6.14184i | 0.347386 | − | 0.208708i | ||||
\(867\) | 21.3084 | − | 31.9421i | 0.723671 | − | 1.08481i | ||||
\(868\) | 18.3900 | + | 5.53666i | 0.624198 | + | 0.187926i | ||||
\(869\) | −0.597256 | + | 1.96889i | −0.0202605 | + | 0.0667900i | ||||
\(870\) | 7.16887 | + | 0.339290i | 0.243048 | + | 0.0115030i | ||||
\(871\) | 10.0263 | + | 6.69937i | 0.339729 | + | 0.226999i | ||||
\(872\) | 1.16789 | − | 1.06520i | 0.0395498 | − | 0.0360721i | ||||
\(873\) | −14.5482 | + | 35.2723i | −0.492384 | + | 1.19378i | ||||
\(874\) | −41.8422 | − | 25.0199i | −1.41533 | − | 0.846312i | ||||
\(875\) | 0.489261 | + | 4.96756i | 0.0165401 | + | 0.167934i | ||||
\(876\) | −12.3098 | + | 3.77231i | −0.415908 | + | 0.127455i | ||||
\(877\) | 11.2413 | − | 3.41002i | 0.379593 | − | 0.115148i | −0.0947215 | − | 0.995504i | \(-0.530196\pi\) |
0.474314 | + | 0.880356i | \(0.342696\pi\) | |||||||
\(878\) | −4.03005 | − | 0.193767i | −0.136008 | − | 0.00653932i | ||||
\(879\) | −1.70546 | + | 17.4501i | −0.0575237 | + | 0.588577i | ||||
\(880\) | 0.314835 | − | 0.131952i | 0.0106131 | − | 0.00444809i | ||||
\(881\) | −24.6676 | + | 10.2176i | −0.831072 | + | 0.344241i | −0.757327 | − | 0.653036i | \(-0.773495\pi\) |
−0.0737451 | + | 0.997277i | \(0.523495\pi\) | |||||||
\(882\) | −12.7765 | + | 17.3191i | −0.430209 | + | 0.583165i | ||||
\(883\) | 6.86623 | − | 12.8458i | 0.231067 | − | 0.432296i | −0.739490 | − | 0.673167i | \(-0.764933\pi\) |
0.970557 | + | 0.240872i | \(0.0774333\pi\) | |||||||
\(884\) | 33.6929 | + | 22.4113i | 1.13321 | + | 0.753773i | ||||
\(885\) | 0.422093 | + | 0.174465i | 0.0141885 | + | 0.00586459i | ||||
\(886\) | 24.3341 | − | 18.0868i | 0.817519 | − | 0.607637i | ||||
\(887\) | −27.9181 | − | 5.55326i | −0.937399 | − | 0.186460i | −0.297327 | − | 0.954776i | \(-0.596095\pi\) |
−0.640071 | + | 0.768315i | \(0.721095\pi\) | |||||||
\(888\) | 13.9523 | − | 5.05341i | 0.468210 | − | 0.169581i | ||||
\(889\) | 1.29368 | + | 6.50377i | 0.0433887 | + | 0.218130i | ||||
\(890\) | 0.234768 | + | 4.67914i | 0.00786943 | + | 0.156845i | ||||
\(891\) | −2.09702 | + | 0.212898i | −0.0702529 | + | 0.00713235i | ||||
\(892\) | 14.7726 | − | 27.7770i | 0.494624 | − | 0.930042i | ||||
\(893\) | 2.79173 | − | 28.3449i | 0.0934217 | − | 0.948526i | ||||
\(894\) | −9.14779 | − | 19.2519i | −0.305948 | − | 0.643881i | ||||
\(895\) | − | 0.510784i | − | 0.0170736i | ||||||
\(896\) | 5.18309 | − | 14.8264i | 0.173155 | − | 0.495315i | ||||
\(897\) | 8.24910 | + | 27.1203i | 0.275429 | + | 0.905522i | ||||
\(898\) | 46.3263 | − | 6.92128i | 1.54593 | − | 0.230966i | ||||
\(899\) | 55.3495 | + | 5.45145i | 1.84601 | + | 0.181816i | ||||
\(900\) | −2.96671 | − | 29.0522i | −0.0988902 | − | 0.968407i | ||||
\(901\) | 14.7813 | + | 27.6538i | 0.492436 | + | 0.921283i | ||||
\(902\) | −0.258733 | + | 0.0129815i | −0.00861486 | + | 0.000432236i | ||||
\(903\) | −14.1810 | + | 7.59359i | −0.471914 | + | 0.252699i | ||||
\(904\) | 4.60480 | − | 5.11269i | 0.153153 | − | 0.170046i | ||||
\(905\) | 0.978043 | − | 4.91695i | 0.0325112 | − | 0.163445i | ||||
\(906\) | 27.1335 | − | 36.7228i | 0.901450 | − | 1.22003i | ||||
\(907\) | −17.9123 | + | 21.8262i | −0.594767 | + | 0.724726i | −0.980200 | − | 0.198010i | \(-0.936552\pi\) |
0.385433 | + | 0.922736i | \(0.374052\pi\) | |||||||
\(908\) | −35.4895 | − | 23.6063i | −1.17776 | − | 0.783403i | ||||
\(909\) | 4.44142 | + | 44.4109i | 0.147313 | + | 1.47302i | ||||
\(910\) | 2.17684 | − | 0.781449i | 0.0721614 | − | 0.0259048i | ||||
\(911\) | 17.3834 | + | 41.9673i | 0.575938 | + | 1.39044i | 0.896430 | + | 0.443186i | \(0.146152\pi\) |
−0.320492 | + | 0.947251i | \(0.603848\pi\) | |||||||
\(912\) | 22.0343 | − | 41.7162i | 0.729628 | − | 1.38136i | ||||
\(913\) | −0.855090 | + | 2.06437i | −0.0282993 | + | 0.0683207i | ||||
\(914\) | 2.69618 | − | 56.0763i | 0.0891817 | − | 1.85484i | ||||
\(915\) | −2.38701 | + | 1.59754i | −0.0789122 | + | 0.0528131i | ||||
\(916\) | 9.95213 | − | 0.0207764i | 0.328828 | − | 0.000686471i | ||||
\(917\) | −13.8639 | + | 1.36547i | −0.457826 | + | 0.0450919i | ||||
\(918\) | 15.6363 | + | 43.2506i | 0.516075 | + | 1.42748i | ||||
\(919\) | −3.35020 | − | 5.01393i | −0.110513 | − | 0.165394i | 0.772090 | − | 0.635513i | \(-0.219211\pi\) |
−0.882603 | + | 0.470118i | \(0.844211\pi\) | |||||||
\(920\) | 0.239702 | − | 5.21223i | 0.00790273 | − | 0.171842i | ||||
\(921\) | 8.22839 | − | 27.1988i | 0.271135 | − | 0.896232i | ||||
\(922\) | 5.12413 | + | 1.82741i | 0.168754 | + | 0.0601826i | ||||
\(923\) | −44.9550 | − | 13.6370i | −1.47971 | − | 0.448866i | ||||
\(924\) | −0.00319666 | − | 1.12627i | −0.000105162 | − | 0.0370517i | ||||
\(925\) | 9.35290 | + | 11.3965i | 0.307522 | + | 0.374716i | ||||
\(926\) | −6.84568 | − | 11.3943i | −0.224963 | − | 0.374441i | ||||
\(927\) | 23.4853 | + | 4.63487i | 0.771358 | + | 0.152229i | ||||
\(928\) | 6.43900 | − | 45.0260i | 0.211370 | − | 1.47805i | ||||
\(929\) | −15.4270 | + | 15.4270i | −0.506145 | + | 0.506145i | −0.913341 | − | 0.407196i | \(-0.866507\pi\) |
0.407196 | + | 0.913341i | \(0.366507\pi\) | |||||||
\(930\) | 0.314017 | + | 6.16617i | 0.0102970 | + | 0.202197i | ||||
\(931\) | −21.9140 | − | 26.7022i | −0.718201 | − | 0.875131i | ||||
\(932\) | 34.3843 | + | 28.0986i | 1.12630 | + | 0.920399i | ||||
\(933\) | −22.6602 | + | 0.0170093i | −0.741860 | + | 0.000556860i | ||||
\(934\) | 22.0446 | + | 46.4837i | 0.721320 | + | 1.52099i | ||||
\(935\) | −0.444098 | − | 0.296737i | −0.0145236 | − | 0.00970434i | ||||
\(936\) | −25.7852 | + | 9.36105i | −0.842815 | + | 0.305976i | ||||
\(937\) | 8.68521 | + | 12.9983i | 0.283734 | + | 0.424637i | 0.945771 | − | 0.324833i | \(-0.105308\pi\) |
−0.662038 | + | 0.749470i | \(0.730308\pi\) | |||||||
\(938\) | −7.10168 | + | 1.78676i | −0.231878 | + | 0.0583398i | ||||
\(939\) | −2.92605 | − | 7.04914i | −0.0954880 | − | 0.230040i | ||||
\(940\) | 2.81383 | − | 1.17242i | 0.0917772 | − | 0.0382400i | ||||
\(941\) | 33.8698 | − | 10.2743i | 1.10412 | − | 0.334932i | 0.314954 | − | 0.949107i | \(-0.398011\pi\) |
0.789170 | + | 0.614174i | \(0.210511\pi\) | |||||||
\(942\) | 12.5930 | − | 21.0960i | 0.410303 | − | 0.687344i | ||||
\(943\) | −1.51529 | + | 3.65823i | −0.0493446 | + | 0.119128i | ||||
\(944\) | 1.35381 | − | 2.55844i | 0.0440627 | − | 0.0832700i | ||||
\(945\) | 2.51714 | + | 0.757379i | 0.0818824 | + | 0.0246375i | ||||
\(946\) | −0.945273 | + | 2.00402i | −0.0307335 | + | 0.0651563i | ||||
\(947\) | −13.3910 | + | 25.0528i | −0.435150 | + | 0.814107i | −0.999938 | − | 0.0111282i | \(-0.996458\pi\) |
0.564789 | + | 0.825236i | \(0.308958\pi\) | |||||||
\(948\) | −19.2394 | + | 23.5795i | −0.624868 | + | 0.765826i | ||||
\(949\) | −7.62249 | + | 9.28803i | −0.247437 | + | 0.301502i | ||||
\(950\) | 46.3718 | + | 6.82915i | 1.50450 | + | 0.221567i | ||||
\(951\) | 3.12299 | + | 31.4661i | 0.101270 | + | 1.02036i | ||||
\(952\) | −23.8191 | + | 6.04570i | −0.771981 | + | 0.195942i | ||||
\(953\) | −4.50076 | − | 22.6268i | −0.145794 | − | 0.732955i | −0.982641 | − | 0.185518i | \(-0.940604\pi\) |
0.836847 | − | 0.547437i | \(-0.184396\pi\) | |||||||
\(954\) | −21.0343 | − | 3.06546i | −0.681012 | − | 0.0992478i | ||||
\(955\) | −1.50294 | − | 2.81180i | −0.0486339 | − | 0.0909876i | ||||
\(956\) | 0.436748 | − | 4.53134i | 0.0141254 | − | 0.146554i | ||||
\(957\) | −0.638710 | − | 3.19846i | −0.0206466 | − | 0.103392i | ||||
\(958\) | 1.29363 | + | 0.957327i | 0.0417951 | + | 0.0309298i | ||||
\(959\) | 10.0873i | 0.325734i | ||||||||
\(960\) | 5.04913 | − | 0.0354127i | 0.162960 | − | 0.00114294i | ||||
\(961\) | 16.8466i | 0.543439i | ||||||||
\(962\) | 8.23808 | − | 11.1320i | 0.265606 | − | 0.358911i | ||||
\(963\) | −20.1561 | − | 37.5736i | −0.649520 | − | 1.21079i | ||||
\(964\) | −9.62449 | − | 11.6777i | −0.309984 | − | 0.376113i | ||||
\(965\) | −0.692103 | − | 1.29483i | −0.0222796 | − | 0.0416822i | ||||
\(966\) | −15.5752 | − | 7.33237i | −0.501125 | − | 0.235915i | ||||
\(967\) | 3.73743 | + | 18.7893i | 0.120188 | + | 0.604224i | 0.993190 | + | 0.116508i | \(0.0371700\pi\) |
−0.873002 | + | 0.487716i | \(0.837830\pi\) | |||||||
\(968\) | 18.5192 | + | 24.8075i | 0.595229 | + | 0.797342i | ||||
\(969\) | −73.4547 | + | 7.29033i | −2.35970 | + | 0.234199i | ||||
\(970\) | 0.954931 | − | 6.48425i | 0.0306610 | − | 0.208197i | ||||
\(971\) | 5.67087 | − | 6.90998i | 0.181987 | − | 0.221752i | −0.674024 | − | 0.738710i | \(-0.735436\pi\) |
0.856011 | + | 0.516958i | \(0.172936\pi\) | |||||||
\(972\) | −29.8868 | − | 8.87577i | −0.958619 | − | 0.284690i | ||||
\(973\) | 3.91818 | − | 7.33040i | 0.125611 | − | 0.235002i | ||||
\(974\) | −42.9749 | − | 20.2707i | −1.37700 | − | 0.649516i | ||||
\(975\) | −17.3055 | − | 21.0546i | −0.554220 | − | 0.674287i | ||||
\(976\) | 8.64791 | + | 16.0179i | 0.276813 | + | 0.512719i | ||||
\(977\) | 12.0604 | − | 29.1163i | 0.385845 | − | 0.931512i | −0.604965 | − | 0.796252i | \(-0.706813\pi\) |
0.990810 | − | 0.135260i | \(-0.0431870\pi\) | |||||||
\(978\) | 6.43667 | − | 10.7828i | 0.205822 | − | 0.344795i | ||||
\(979\) | 2.03748 | − | 0.618062i | 0.0651180 | − | 0.0197533i | ||||
\(980\) | 1.40765 | − | 3.41854i | 0.0449658 | − | 0.109201i | ||||
\(981\) | 1.29442 | − | 1.06556i | 0.0413277 | − | 0.0340207i | ||||
\(982\) | −11.1447 | − | 44.2958i | −0.355641 | − | 1.41354i | ||||
\(983\) | −27.8063 | − | 41.6150i | −0.886882 | − | 1.32731i | −0.944342 | − | 0.328965i | \(-0.893300\pi\) |
0.0574603 | − | 0.998348i | \(-0.481700\pi\) | |||||||
\(984\) | −3.61278 | − | 1.27687i | −0.115171 | − | 0.0407053i | ||||
\(985\) | −7.83576 | − | 5.23569i | −0.249668 | − | 0.166823i | ||||
\(986\) | −64.3010 | + | 30.4943i | −2.04776 | + | 0.971135i | ||||
\(987\) | −0.00754928 | − | 10.0573i | −0.000240296 | − | 0.320128i | ||||
\(988\) | −4.40703 | − | 43.8076i | −0.140206 | − | 1.39371i | ||||
\(989\) | 21.4853 | + | 26.1799i | 0.683194 | + | 0.832474i | ||||
\(990\) | 0.340599 | − | 0.122847i | 0.0108249 | − | 0.00390433i | ||||
\(991\) | −10.8831 | + | 10.8831i | −0.345712 | + | 0.345712i | −0.858509 | − | 0.512798i | \(-0.828609\pi\) |
0.512798 | + | 0.858509i | \(0.328609\pi\) | |||||||
\(992\) | 39.0915 | + | 1.71598i | 1.24116 | + | 0.0544824i | ||||
\(993\) | 25.9526 | − | 48.6416i | 0.823580 | − | 1.54360i | ||||
\(994\) | 24.4549 | − | 14.6924i | 0.775662 | − | 0.466015i | ||||
\(995\) | −5.62699 | − | 6.85650i | −0.178387 | − | 0.217366i | ||||
\(996\) | −23.3037 | + | 23.4363i | −0.738405 | + | 0.742609i | ||||
\(997\) | 39.8268 | + | 12.0813i | 1.26133 | + | 0.382620i | 0.848989 | − | 0.528411i | \(-0.177212\pi\) |
0.412339 | + | 0.911030i | \(0.364712\pi\) | |||||||
\(998\) | −0.288349 | + | 0.808540i | −0.00912752 | + | 0.0255939i | ||||
\(999\) | 15.0514 | − | 4.60282i | 0.476205 | − | 0.145627i |
(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 | 384.2.w.a.35.4 | yes | 992 | |
3.2 | odd | 2 | inner | 384.2.w.a.35.59 | yes | 992 | |
128.11 | odd | 32 | inner | 384.2.w.a.11.59 | yes | 992 | |
384.11 | even | 32 | inner | 384.2.w.a.11.4 | ✓ | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.w.a.11.4 | ✓ | 992 | 384.11 | even | 32 | inner | |
384.2.w.a.11.59 | yes | 992 | 128.11 | odd | 32 | inner | |
384.2.w.a.35.4 | yes | 992 | 1.1 | even | 1 | trivial | |
384.2.w.a.35.59 | yes | 992 | 3.2 | odd | 2 | inner |