Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [750,2,Mod(31,750)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(750, base_ring=CyclotomicField(50))
chi = DirichletCharacter(H, H._module([0, 24]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("750.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 750 = 2 \cdot 3 \cdot 5^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 750.m (of order \(25\), degree \(20\), 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: | \(5.98878015160\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{25})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{25}]$ |
Embedding invariants
Embedding label | 511.4 | ||
Character | \(\chi\) | \(=\) | 750.511 |
Dual form | 750.2.m.d.91.4 |
$q$-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 \(\left(\mathbb{Z}/750\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(251\) |
\(\chi(n)\) | \(e\left(\frac{19}{25}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.728969 | + | 0.684547i | −0.515459 | + | 0.484048i | ||||
\(3\) | 0.535827 | + | 0.844328i | 0.309360 | + | 0.487473i | ||||
\(4\) | 0.0627905 | − | 0.998027i | 0.0313953 | − | 0.499013i | ||||
\(5\) | −1.13246 | + | 1.92809i | −0.506453 | + | 0.862268i | ||||
\(6\) | −0.968583 | − | 0.248690i | −0.395422 | − | 0.101527i | ||||
\(7\) | −1.48776 | + | 4.57885i | −0.562319 | + | 1.73064i | 0.113465 | + | 0.993542i | \(0.463805\pi\) |
−0.675784 | + | 0.737099i | \(0.736195\pi\) | |||||||
\(8\) | 0.637424 | + | 0.770513i | 0.225363 | + | 0.272418i | ||||
\(9\) | −0.425779 | + | 0.904827i | −0.141926 | + | 0.301609i | ||||
\(10\) | −0.494339 | − | 2.18074i | −0.156324 | − | 0.689611i | ||||
\(11\) | −1.04060 | + | 0.977187i | −0.313752 | + | 0.294633i | −0.825384 | − | 0.564572i | \(-0.809041\pi\) |
0.511632 | + | 0.859205i | \(0.329041\pi\) | |||||||
\(12\) | 0.876307 | − | 0.481754i | 0.252968 | − | 0.139070i | ||||
\(13\) | 0.655738 | − | 1.39351i | 0.181869 | − | 0.386491i | −0.793016 | − | 0.609201i | \(-0.791490\pi\) |
0.974885 | + | 0.222710i | \(0.0714903\pi\) | |||||||
\(14\) | −2.04991 | − | 4.35628i | −0.547861 | − | 1.16426i | ||||
\(15\) | −2.23474 | + | 0.0769525i | −0.577008 | + | 0.0198691i | ||||
\(16\) | −0.992115 | − | 0.125333i | −0.248029 | − | 0.0313333i | ||||
\(17\) | 0.202923 | + | 3.22537i | 0.0492161 | + | 0.782267i | 0.942798 | + | 0.333366i | \(0.108184\pi\) |
−0.893581 | + | 0.448901i | \(0.851816\pi\) | |||||||
\(18\) | −0.309017 | − | 0.951057i | −0.0728360 | − | 0.224166i | ||||
\(19\) | 1.94495 | − | 3.06476i | 0.446203 | − | 0.703104i | −0.544558 | − | 0.838723i | \(-0.683302\pi\) |
0.990761 | + | 0.135620i | \(0.0433025\pi\) | |||||||
\(20\) | 1.85318 | + | 1.25129i | 0.414383 | + | 0.279798i | ||||
\(21\) | −4.66323 | + | 1.19731i | −1.01760 | + | 0.261275i | ||||
\(22\) | 0.0896331 | − | 1.42468i | 0.0191098 | − | 0.303742i | ||||
\(23\) | 0.446225 | − | 2.33919i | 0.0930443 | − | 0.487755i | −0.905009 | − | 0.425392i | \(-0.860136\pi\) |
0.998054 | − | 0.0623632i | \(-0.0198637\pi\) | |||||||
\(24\) | −0.309017 | + | 0.951057i | −0.0630778 | + | 0.194134i | ||||
\(25\) | −2.43506 | − | 4.36698i | −0.487012 | − | 0.873395i | ||||
\(26\) | 0.475913 | + | 1.46471i | 0.0933343 | + | 0.287253i | ||||
\(27\) | −0.992115 | + | 0.125333i | −0.190933 | + | 0.0241204i | ||||
\(28\) | 4.47639 | + | 1.77233i | 0.845959 | + | 0.334939i | ||||
\(29\) | −2.84216 | − | 1.12529i | −0.527777 | − | 0.208962i | 0.0890981 | − | 0.996023i | \(-0.471602\pi\) |
−0.616875 | + | 0.787061i | \(0.711602\pi\) | |||||||
\(30\) | 1.57638 | − | 1.58588i | 0.287806 | − | 0.289541i | ||||
\(31\) | −0.474555 | − | 7.54283i | −0.0852326 | − | 1.35473i | −0.775577 | − | 0.631253i | \(-0.782541\pi\) |
0.690345 | − | 0.723481i | \(-0.257459\pi\) | |||||||
\(32\) | 0.809017 | − | 0.587785i | 0.143015 | − | 0.103907i | ||||
\(33\) | −1.38265 | − | 0.355003i | −0.240688 | − | 0.0617981i | ||||
\(34\) | −2.35584 | − | 2.21228i | −0.404023 | − | 0.379403i | ||||
\(35\) | −7.14360 | − | 8.05390i | −1.20749 | − | 1.36136i | ||||
\(36\) | 0.876307 | + | 0.481754i | 0.146051 | + | 0.0802923i | ||||
\(37\) | −0.180338 | − | 0.0227820i | −0.0296475 | − | 0.00374535i | 0.110496 | − | 0.993877i | \(-0.464756\pi\) |
−0.140143 | + | 0.990131i | \(0.544756\pi\) | |||||||
\(38\) | 0.680160 | + | 3.56553i | 0.110337 | + | 0.578405i | ||||
\(39\) | 1.52794 | − | 0.193024i | 0.244667 | − | 0.0309086i | ||||
\(40\) | −2.20748 | + | 0.356433i | −0.349033 | + | 0.0563571i | ||||
\(41\) | 1.50131 | + | 7.87012i | 0.234464 | + | 1.22911i | 0.883530 | + | 0.468374i | \(0.155160\pi\) |
−0.649066 | + | 0.760732i | \(0.724840\pi\) | |||||||
\(42\) | 2.57973 | − | 4.06500i | 0.398061 | − | 0.627244i | ||||
\(43\) | 7.96085 | + | 5.78390i | 1.21402 | + | 0.882036i | 0.995589 | − | 0.0938168i | \(-0.0299068\pi\) |
0.218429 | + | 0.975853i | \(0.429907\pi\) | |||||||
\(44\) | 0.909919 | + | 1.09990i | 0.137175 | + | 0.165817i | ||||
\(45\) | −1.26241 | − | 1.84562i | −0.188189 | − | 0.275129i | ||||
\(46\) | 1.27600 | + | 2.01066i | 0.188136 | + | 0.296455i | ||||
\(47\) | −4.06660 | + | 4.91568i | −0.593175 | + | 0.717026i | −0.978613 | − | 0.205708i | \(-0.934050\pi\) |
0.385438 | + | 0.922734i | \(0.374050\pi\) | |||||||
\(48\) | −0.425779 | − | 0.904827i | −0.0614559 | − | 0.130601i | ||||
\(49\) | −13.0893 | − | 9.50993i | −1.86990 | − | 1.35856i | ||||
\(50\) | 4.76448 | + | 1.51648i | 0.673800 | + | 0.214462i | ||||
\(51\) | −2.61454 | + | 1.89957i | −0.366108 | + | 0.265993i | ||||
\(52\) | −1.34959 | − | 0.741943i | −0.187154 | − | 0.102889i | ||||
\(53\) | −9.50471 | + | 2.44039i | −1.30557 | + | 0.335214i | −0.836510 | − | 0.547951i | \(-0.815408\pi\) |
−0.469062 | + | 0.883165i | \(0.655408\pi\) | |||||||
\(54\) | 0.637424 | − | 0.770513i | 0.0867424 | − | 0.104854i | ||||
\(55\) | −0.705665 | − | 3.11299i | −0.0951519 | − | 0.419756i | ||||
\(56\) | −4.47639 | + | 1.77233i | −0.598183 | + | 0.236838i | ||||
\(57\) | 3.62982 | 0.480781 | ||||||||
\(58\) | 2.84216 | − | 1.12529i | 0.373195 | − | 0.147758i | ||||
\(59\) | −10.9356 | + | 6.01191i | −1.42370 | + | 0.782684i | −0.992808 | − | 0.119721i | \(-0.961800\pi\) |
−0.430890 | + | 0.902405i | \(0.641800\pi\) | |||||||
\(60\) | −0.0635200 | + | 2.23517i | −0.00820040 | + | 0.288559i | ||||
\(61\) | −1.82715 | + | 9.57824i | −0.233942 | + | 1.22637i | 0.650423 | + | 0.759572i | \(0.274592\pi\) |
−0.884365 | + | 0.466796i | \(0.845408\pi\) | |||||||
\(62\) | 5.50936 | + | 5.17363i | 0.699690 | + | 0.657052i | ||||
\(63\) | −3.50961 | − | 3.29574i | −0.442169 | − | 0.415224i | ||||
\(64\) | −0.187381 | + | 0.982287i | −0.0234227 | + | 0.122786i | ||||
\(65\) | 1.94422 | + | 2.84242i | 0.241151 | + | 0.352559i | ||||
\(66\) | 1.25092 | − | 0.687700i | 0.153978 | − | 0.0846500i | ||||
\(67\) | 13.5094 | − | 5.34873i | 1.65043 | − | 0.653452i | 0.655610 | − | 0.755099i | \(-0.272411\pi\) |
0.994820 | + | 0.101648i | \(0.0324114\pi\) | |||||||
\(68\) | 3.23175 | 0.391907 | ||||||||
\(69\) | 2.21414 | − | 0.876641i | 0.266552 | − | 0.105535i | ||||
\(70\) | 10.7207 | + | 0.980912i | 1.28137 | + | 0.117241i | ||||
\(71\) | 5.57607 | − | 6.74031i | 0.661758 | − | 0.799928i | −0.327695 | − | 0.944784i | \(-0.606272\pi\) |
0.989453 | + | 0.144856i | \(0.0462718\pi\) | |||||||
\(72\) | −0.968583 | + | 0.248690i | −0.114149 | + | 0.0293084i | ||||
\(73\) | 1.41440 | + | 0.777573i | 0.165543 | + | 0.0910080i | 0.562371 | − | 0.826885i | \(-0.309889\pi\) |
−0.396828 | + | 0.917893i | \(0.629889\pi\) | |||||||
\(74\) | 0.147056 | − | 0.106843i | 0.0170950 | − | 0.0124202i | ||||
\(75\) | 2.38239 | − | 4.39593i | 0.275095 | − | 0.507598i | ||||
\(76\) | −2.93659 | − | 2.13355i | −0.336850 | − | 0.244735i | ||||
\(77\) | −2.92623 | − | 6.21856i | −0.333475 | − | 0.708670i | ||||
\(78\) | −0.981689 | + | 1.18666i | −0.111154 | + | 0.134363i | ||||
\(79\) | −5.49069 | − | 8.65194i | −0.617750 | − | 0.973419i | −0.998805 | − | 0.0488664i | \(-0.984439\pi\) |
0.381055 | − | 0.924552i | \(-0.375561\pi\) | |||||||
\(80\) | 1.36519 | − | 1.77095i | 0.152632 | − | 0.197998i | ||||
\(81\) | −0.637424 | − | 0.770513i | −0.0708249 | − | 0.0856126i | ||||
\(82\) | −6.48187 | − | 4.70935i | −0.715803 | − | 0.520061i | ||||
\(83\) | −3.35959 | + | 5.29386i | −0.368763 | + | 0.581077i | −0.977147 | − | 0.212566i | \(-0.931818\pi\) |
0.608384 | + | 0.793643i | \(0.291818\pi\) | |||||||
\(84\) | 0.902144 | + | 4.72921i | 0.0984320 | + | 0.515999i | ||||
\(85\) | −6.44860 | − | 3.26135i | −0.699449 | − | 0.353744i | ||||
\(86\) | −9.76256 | + | 1.23330i | −1.05272 | + | 0.132990i | ||||
\(87\) | −0.572792 | − | 3.00268i | −0.0614098 | − | 0.321921i | ||||
\(88\) | −1.41624 | − | 0.178912i | −0.150971 | − | 0.0190721i | ||||
\(89\) | 9.59159 | + | 5.27302i | 1.01671 | + | 0.558939i | 0.900760 | − | 0.434316i | \(-0.143010\pi\) |
0.115946 | + | 0.993256i | \(0.463010\pi\) | |||||||
\(90\) | 2.18367 | + | 0.481223i | 0.230179 | + | 0.0507254i | ||||
\(91\) | 5.40511 | + | 5.07573i | 0.566609 | + | 0.532081i | ||||
\(92\) | −2.30656 | − | 0.592223i | −0.240475 | − | 0.0617435i | ||||
\(93\) | 6.11435 | − | 4.44233i | 0.634028 | − | 0.460648i | ||||
\(94\) | −0.400588 | − | 6.36716i | −0.0413175 | − | 0.656722i | ||||
\(95\) | 3.70654 | + | 7.22077i | 0.380283 | + | 0.740835i | ||||
\(96\) | 0.929776 | + | 0.368125i | 0.0948949 | + | 0.0375716i | ||||
\(97\) | −5.72717 | − | 2.26755i | −0.581506 | − | 0.230235i | 0.0589092 | − | 0.998263i | \(-0.481238\pi\) |
−0.640415 | + | 0.768029i | \(0.721238\pi\) | |||||||
\(98\) | 16.0517 | − | 2.02780i | 1.62146 | − | 0.204839i | ||||
\(99\) | −0.441120 | − | 1.35763i | −0.0443342 | − | 0.136447i | ||||
\(100\) | −4.51126 | + | 2.15605i | −0.451126 | + | 0.215605i | ||||
\(101\) | 0.296737 | − | 0.913264i | 0.0295265 | − | 0.0908732i | −0.935207 | − | 0.354101i | \(-0.884787\pi\) |
0.964734 | + | 0.263228i | \(0.0847870\pi\) | |||||||
\(102\) | 0.605569 | − | 3.17450i | 0.0599603 | − | 0.314323i | ||||
\(103\) | 0.422667 | − | 6.71810i | 0.0416466 | − | 0.661954i | −0.920724 | − | 0.390214i | \(-0.872401\pi\) |
0.962371 | − | 0.271740i | \(-0.0875990\pi\) | |||||||
\(104\) | 1.49170 | − | 0.383004i | 0.146274 | − | 0.0375567i | ||||
\(105\) | 2.97240 | − | 10.3470i | 0.290077 | − | 1.00977i | ||||
\(106\) | 5.25807 | − | 8.28539i | 0.510709 | − | 0.804748i | ||||
\(107\) | 0.624824 | + | 1.92301i | 0.0604040 | + | 0.185904i | 0.976705 | − | 0.214585i | \(-0.0688400\pi\) |
−0.916301 | + | 0.400490i | \(0.868840\pi\) | |||||||
\(108\) | 0.0627905 | + | 0.998027i | 0.00604202 | + | 0.0960352i | ||||
\(109\) | −0.648718 | − | 0.0819522i | −0.0621360 | − | 0.00784960i | 0.0942038 | − | 0.995553i | \(-0.469969\pi\) |
−0.156340 | + | 0.987703i | \(0.549969\pi\) | |||||||
\(110\) | 2.64540 | + | 1.78621i | 0.252229 | + | 0.170309i | ||||
\(111\) | −0.0773947 | − | 0.164472i | −0.00734598 | − | 0.0156110i | ||||
\(112\) | 2.04991 | − | 4.35628i | 0.193698 | − | 0.411629i | ||||
\(113\) | 0.738769 | − | 0.406142i | 0.0694976 | − | 0.0382066i | −0.446626 | − | 0.894721i | \(-0.647375\pi\) |
0.516124 | + | 0.856514i | \(0.327375\pi\) | |||||||
\(114\) | −2.64602 | + | 2.48478i | −0.247823 | + | 0.232721i | ||||
\(115\) | 4.00484 | + | 3.50941i | 0.373453 | + | 0.327254i | ||||
\(116\) | −1.30153 | + | 2.76590i | −0.120844 | + | 0.256807i | ||||
\(117\) | 0.981689 | + | 1.18666i | 0.0907572 | + | 0.109707i | ||||
\(118\) | 3.85629 | − | 11.8684i | 0.355000 | − | 1.09258i | ||||
\(119\) | −15.0704 | − | 3.86941i | −1.38150 | − | 0.354709i | ||||
\(120\) | −1.48377 | − | 1.67285i | −0.135449 | − | 0.152709i | ||||
\(121\) | −0.562745 | + | 8.94458i | −0.0511586 | + | 0.813143i | ||||
\(122\) | −5.22482 | − | 8.23301i | −0.473033 | − | 0.745381i | ||||
\(123\) | −5.84052 | + | 5.48461i | −0.526622 | + | 0.494531i | ||||
\(124\) | −7.55775 | −0.678706 | ||||||||
\(125\) | 11.1775 | + | 0.250426i | 0.999749 | + | 0.0223988i | ||||
\(126\) | 4.81448 | 0.428908 | ||||||||
\(127\) | −13.4866 | + | 12.6648i | −1.19675 | + | 1.12382i | −0.207396 | + | 0.978257i | \(0.566499\pi\) |
−0.989349 | + | 0.145561i | \(0.953501\pi\) | |||||||
\(128\) | −0.535827 | − | 0.844328i | −0.0473608 | − | 0.0746288i | ||||
\(129\) | −0.617868 | + | 9.82074i | −0.0544003 | + | 0.864668i | ||||
\(130\) | −3.36305 | − | 0.741126i | −0.294959 | − | 0.0650011i | ||||
\(131\) | 3.09497 | + | 0.794654i | 0.270409 | + | 0.0694293i | 0.381460 | − | 0.924386i | \(-0.375422\pi\) |
−0.111051 | + | 0.993815i | \(0.535422\pi\) | |||||||
\(132\) | −0.441120 | + | 1.35763i | −0.0383945 | + | 0.118166i | ||||
\(133\) | 11.1394 | + | 13.4653i | 0.965912 | + | 1.16759i | ||||
\(134\) | −6.18644 | + | 13.1469i | −0.534427 | + | 1.13571i | ||||
\(135\) | 0.881879 | − | 2.05482i | 0.0759000 | − | 0.176851i | ||||
\(136\) | −2.35584 | + | 2.21228i | −0.202012 | + | 0.189702i | ||||
\(137\) | 12.2023 | − | 6.70829i | 1.04252 | − | 0.573128i | 0.134001 | − | 0.990981i | \(-0.457217\pi\) |
0.908514 | + | 0.417854i | \(0.137217\pi\) | |||||||
\(138\) | −1.01394 | + | 2.15473i | −0.0863122 | + | 0.183423i | ||||
\(139\) | −4.43789 | − | 9.43100i | −0.376417 | − | 0.799927i | −0.999837 | − | 0.0180398i | \(-0.994257\pi\) |
0.623420 | − | 0.781887i | \(-0.285743\pi\) | |||||||
\(140\) | −8.48656 | + | 6.62379i | −0.717245 | + | 0.559813i | ||||
\(141\) | −6.32944 | − | 0.799594i | −0.533035 | − | 0.0673380i | ||||
\(142\) | 0.549280 | + | 8.73056i | 0.0460946 | + | 0.732652i | ||||
\(143\) | 0.679363 | + | 2.09087i | 0.0568112 | + | 0.174847i | ||||
\(144\) | 0.535827 | − | 0.844328i | 0.0446522 | − | 0.0703607i | ||||
\(145\) | 5.38831 | − | 4.20560i | 0.447475 | − | 0.349256i | ||||
\(146\) | −1.56334 | + | 0.401397i | −0.129383 | + | 0.0332198i | ||||
\(147\) | 1.01590 | − | 16.1473i | 0.0837904 | − | 1.33181i | ||||
\(148\) | −0.0340606 | + | 0.178552i | −0.00279977 | + | 0.0146769i | ||||
\(149\) | −1.40469 | + | 4.32318i | −0.115076 | + | 0.354169i | −0.991963 | − | 0.126529i | \(-0.959616\pi\) |
0.876887 | + | 0.480697i | \(0.159616\pi\) | |||||||
\(150\) | 1.27253 | + | 4.83536i | 0.103902 | + | 0.394805i | ||||
\(151\) | 5.94929 | + | 18.3100i | 0.484146 | + | 1.49005i | 0.833214 | + | 0.552951i | \(0.186498\pi\) |
−0.349067 | + | 0.937098i | \(0.613502\pi\) | |||||||
\(152\) | 3.60120 | − | 0.454937i | 0.292096 | − | 0.0369003i | ||||
\(153\) | −3.00480 | − | 1.18969i | −0.242924 | − | 0.0961803i | ||||
\(154\) | 6.39002 | + | 2.52999i | 0.514923 | + | 0.203872i | ||||
\(155\) | 15.0807 | + | 7.62699i | 1.21131 | + | 0.612615i | ||||
\(156\) | −0.0967029 | − | 1.53705i | −0.00774243 | − | 0.123062i | ||||
\(157\) | −3.00273 | + | 2.18161i | −0.239644 | + | 0.174112i | −0.701125 | − | 0.713039i | \(-0.747318\pi\) |
0.461481 | + | 0.887150i | \(0.347318\pi\) | |||||||
\(158\) | 9.92520 | + | 2.54836i | 0.789606 | + | 0.202736i | ||||
\(159\) | −7.15337 | − | 6.71746i | −0.567299 | − | 0.532729i | ||||
\(160\) | 0.217121 | + | 2.22550i | 0.0171650 | + | 0.175941i | ||||
\(161\) | 10.0469 | + | 5.52334i | 0.791809 | + | 0.435300i | ||||
\(162\) | 0.992115 | + | 0.125333i | 0.0779479 | + | 0.00984711i | ||||
\(163\) | 4.35551 | + | 22.8324i | 0.341150 | + | 1.78837i | 0.577171 | + | 0.816623i | \(0.304157\pi\) |
−0.236021 | + | 0.971748i | \(0.575843\pi\) | |||||||
\(164\) | 7.94885 | − | 1.00417i | 0.620701 | − | 0.0784128i | ||||
\(165\) | 2.25027 | − | 2.26384i | 0.175183 | − | 0.176240i | ||||
\(166\) | −1.17486 | − | 6.15885i | −0.0911872 | − | 0.478020i | ||||
\(167\) | 5.48017 | − | 8.63536i | 0.424068 | − | 0.668224i | −0.563375 | − | 0.826201i | \(-0.690497\pi\) |
0.987443 | + | 0.157977i | \(0.0504973\pi\) | |||||||
\(168\) | −3.89500 | − | 2.82988i | −0.300506 | − | 0.218330i | ||||
\(169\) | 6.77462 | + | 8.18911i | 0.521125 | + | 0.629932i | ||||
\(170\) | 6.93338 | − | 2.03695i | 0.531766 | − | 0.156227i | ||||
\(171\) | 1.94495 | + | 3.06476i | 0.148734 | + | 0.234368i | ||||
\(172\) | 6.27235 | − | 7.58197i | 0.478262 | − | 0.578120i | ||||
\(173\) | 4.84995 | + | 10.3067i | 0.368735 | + | 0.783602i | 0.999968 | + | 0.00800866i | \(0.00254926\pi\) |
−0.631233 | + | 0.775593i | \(0.717451\pi\) | |||||||
\(174\) | 2.47302 | + | 1.79676i | 0.187479 | + | 0.136212i | ||||
\(175\) | 23.6185 | − | 4.65276i | 1.78539 | − | 0.351715i | ||||
\(176\) | 1.15487 | − | 0.839060i | 0.0870513 | − | 0.0632465i | ||||
\(177\) | −10.9356 | − | 6.01191i | −0.821972 | − | 0.451883i | ||||
\(178\) | −10.6016 | + | 2.72203i | −0.794623 | + | 0.204025i | ||||
\(179\) | −7.08363 | + | 8.56263i | −0.529455 | + | 0.640001i | −0.965649 | − | 0.259852i | \(-0.916326\pi\) |
0.436193 | + | 0.899853i | \(0.356326\pi\) | |||||||
\(180\) | −1.92125 | + | 1.14403i | −0.143201 | + | 0.0852710i | ||||
\(181\) | −20.5743 | + | 8.14596i | −1.52928 | + | 0.605484i | −0.974074 | − | 0.226229i | \(-0.927360\pi\) |
−0.555205 | + | 0.831713i | \(0.687360\pi\) | |||||||
\(182\) | −7.41473 | −0.549616 | ||||||||
\(183\) | −9.06621 | + | 3.58957i | −0.670194 | + | 0.265348i | ||||
\(184\) | 2.08681 | − | 1.14723i | 0.153842 | − | 0.0845753i | ||||
\(185\) | 0.248152 | − | 0.321909i | 0.0182445 | − | 0.0236672i | ||||
\(186\) | −1.41618 | + | 7.42388i | −0.103839 | + | 0.544345i | ||||
\(187\) | −3.36295 | − | 3.15802i | −0.245923 | − | 0.230937i | ||||
\(188\) | 4.65064 | + | 4.36724i | 0.339182 | + | 0.318514i | ||||
\(189\) | 0.902144 | − | 4.72921i | 0.0656214 | − | 0.343999i | ||||
\(190\) | −7.64491 | − | 2.72641i | −0.554620 | − | 0.197795i | ||||
\(191\) | −1.85599 | + | 1.02034i | −0.134295 | + | 0.0738293i | −0.547485 | − | 0.836816i | \(-0.684415\pi\) |
0.413190 | + | 0.910645i | \(0.364415\pi\) | |||||||
\(192\) | −0.929776 | + | 0.368125i | −0.0671008 | + | 0.0265671i | ||||
\(193\) | 3.47469 | 0.250114 | 0.125057 | − | 0.992150i | \(-0.460089\pi\) | ||||
0.125057 | + | 0.992150i | \(0.460089\pi\) | |||||||
\(194\) | 5.72717 | − | 2.26755i | 0.411187 | − | 0.162800i | ||||
\(195\) | −1.35817 | + | 3.16461i | −0.0972606 | + | 0.226622i | ||||
\(196\) | −10.3130 | + | 12.4663i | −0.736646 | + | 0.890452i | ||||
\(197\) | −2.55881 | + | 0.656992i | −0.182308 | + | 0.0468087i | −0.338740 | − | 0.940880i | \(-0.610001\pi\) |
0.156432 | + | 0.987689i | \(0.450001\pi\) | |||||||
\(198\) | 1.25092 | + | 0.687700i | 0.0888992 | + | 0.0488727i | ||||
\(199\) | 13.2045 | − | 9.59363i | 0.936042 | − | 0.680074i | −0.0114225 | − | 0.999935i | \(-0.503636\pi\) |
0.947465 | + | 0.319860i | \(0.103636\pi\) | |||||||
\(200\) | 1.81265 | − | 4.65986i | 0.128174 | − | 0.329502i | ||||
\(201\) | 11.7548 | + | 8.54033i | 0.829117 | + | 0.602389i | ||||
\(202\) | 0.408860 | + | 0.868872i | 0.0287673 | + | 0.0611336i | ||||
\(203\) | 9.38100 | − | 11.3397i | 0.658417 | − | 0.795889i | ||||
\(204\) | 1.73166 | + | 2.72865i | 0.121240 | + | 0.191044i | ||||
\(205\) | −16.8745 | − | 6.01796i | −1.17856 | − | 0.420313i | ||||
\(206\) | 4.29074 | + | 5.18662i | 0.298950 | + | 0.361369i | ||||
\(207\) | 1.92657 | + | 1.39974i | 0.133906 | + | 0.0972883i | ||||
\(208\) | −0.825220 | + | 1.30034i | −0.0572187 | + | 0.0901623i | ||||
\(209\) | 0.970925 | + | 5.08976i | 0.0671603 | + | 0.352066i | ||||
\(210\) | 4.91624 | + | 9.57741i | 0.339253 | + | 0.660904i | ||||
\(211\) | 13.9914 | − | 1.76752i | 0.963205 | − | 0.121681i | 0.372027 | − | 0.928222i | \(-0.378663\pi\) |
0.591178 | + | 0.806541i | \(0.298663\pi\) | |||||||
\(212\) | 1.83877 | + | 9.63919i | 0.126287 | + | 0.662022i | ||||
\(213\) | 8.67884 | + | 1.09639i | 0.594664 | + | 0.0751236i | ||||
\(214\) | −1.77187 | − | 0.974092i | −0.121122 | − | 0.0665876i | ||||
\(215\) | −20.1672 | + | 8.79919i | −1.37539 | + | 0.600100i | ||||
\(216\) | −0.728969 | − | 0.684547i | −0.0496000 | − | 0.0465775i | ||||
\(217\) | 35.2435 | + | 9.04899i | 2.39249 | + | 0.614286i | ||||
\(218\) | 0.528995 | − | 0.384338i | 0.0358281 | − | 0.0260306i | ||||
\(219\) | 0.101347 | + | 1.61086i | 0.00684838 | + | 0.108852i | ||||
\(220\) | −3.15116 | + | 0.508806i | −0.212451 | + | 0.0343037i | ||||
\(221\) | 4.62766 | + | 1.83222i | 0.311290 | + | 0.123248i | ||||
\(222\) | 0.169007 | + | 0.0669147i | 0.0113430 | + | 0.00449102i | ||||
\(223\) | −5.84452 | + | 0.738334i | −0.391378 | + | 0.0494425i | −0.318560 | − | 0.947903i | \(-0.603199\pi\) |
−0.0728179 | + | 0.997345i | \(0.523199\pi\) | |||||||
\(224\) | 1.48776 | + | 4.57885i | 0.0994050 | + | 0.305937i | ||||
\(225\) | 4.98816 | − | 0.343938i | 0.332544 | − | 0.0229292i | ||||
\(226\) | −0.260516 | + | 0.801787i | −0.0173293 | + | 0.0533341i | ||||
\(227\) | 4.84690 | − | 25.4084i | 0.321700 | − | 1.68641i | −0.343027 | − | 0.939326i | \(-0.611452\pi\) |
0.664727 | − | 0.747086i | \(-0.268548\pi\) | |||||||
\(228\) | 0.227918 | − | 3.62266i | 0.0150943 | − | 0.239916i | ||||
\(229\) | −7.49269 | + | 1.92380i | −0.495131 | + | 0.127128i | −0.487995 | − | 0.872846i | \(-0.662272\pi\) |
−0.00713615 | + | 0.999975i | \(0.502272\pi\) | |||||||
\(230\) | −5.32176 | + | 0.183253i | −0.350906 | + | 0.0120833i | ||||
\(231\) | 3.68255 | − | 5.80277i | 0.242294 | − | 0.381794i | ||||
\(232\) | −0.944611 | − | 2.90721i | −0.0620168 | − | 0.190868i | ||||
\(233\) | 1.09942 | + | 17.4748i | 0.0720254 | + | 1.14481i | 0.853576 | + | 0.520969i | \(0.174429\pi\) |
−0.781550 | + | 0.623842i | \(0.785571\pi\) | |||||||
\(234\) | −1.52794 | − | 0.193024i | −0.0998848 | − | 0.0126184i | ||||
\(235\) | −4.87260 | − | 13.4076i | −0.317853 | − | 0.874615i | ||||
\(236\) | 5.31339 | + | 11.2915i | 0.345873 | + | 0.735016i | ||||
\(237\) | 4.36301 | − | 9.27188i | 0.283408 | − | 0.602273i | ||||
\(238\) | 13.6346 | − | 7.49570i | 0.883801 | − | 0.485874i | ||||
\(239\) | 6.12066 | − | 5.74768i | 0.395912 | − | 0.371787i | −0.460867 | − | 0.887469i | \(-0.652462\pi\) |
0.856780 | + | 0.515683i | \(0.172462\pi\) | |||||||
\(240\) | 2.22677 | + | 0.203742i | 0.143737 | + | 0.0131515i | ||||
\(241\) | −7.85810 | + | 16.6993i | −0.506185 | + | 1.07570i | 0.474527 | + | 0.880241i | \(0.342619\pi\) |
−0.980712 | + | 0.195457i | \(0.937381\pi\) | |||||||
\(242\) | −5.71276 | − | 6.90554i | −0.367230 | − | 0.443905i | ||||
\(243\) | 0.309017 | − | 0.951057i | 0.0198234 | − | 0.0610103i | ||||
\(244\) | 9.44461 | + | 2.42496i | 0.604629 | + | 0.155242i | ||||
\(245\) | 33.1591 | − | 14.4677i | 2.11846 | − | 0.924307i | ||||
\(246\) | 0.503080 | − | 7.99622i | 0.0320752 | − | 0.509820i | ||||
\(247\) | −2.99540 | − | 4.72000i | −0.190593 | − | 0.300326i | ||||
\(248\) | 5.50936 | − | 5.17363i | 0.349845 | − | 0.328526i | ||||
\(249\) | −6.26991 | −0.397340 | ||||||||
\(250\) | −8.31950 | + | 7.46900i | −0.526171 | + | 0.472381i | ||||
\(251\) | −17.5020 | −1.10472 | −0.552358 | − | 0.833607i | \(-0.686272\pi\) | ||||
−0.552358 | + | 0.833607i | \(0.686272\pi\) | |||||||
\(252\) | −3.50961 | + | 3.29574i | −0.221085 | + | 0.207612i | ||||
\(253\) | 1.82149 | + | 2.87020i | 0.114516 | + | 0.180448i | ||||
\(254\) | 1.16169 | − | 18.4645i | 0.0728907 | − | 1.15856i | ||||
\(255\) | −0.701681 | − | 7.19226i | −0.0439410 | − | 0.450397i | ||||
\(256\) | 0.968583 | + | 0.248690i | 0.0605364 | + | 0.0155431i | ||||
\(257\) | −8.67398 | + | 26.6958i | −0.541068 | + | 1.66524i | 0.189091 | + | 0.981960i | \(0.439446\pi\) |
−0.730159 | + | 0.683277i | \(0.760554\pi\) | |||||||
\(258\) | −6.27235 | − | 7.58197i | −0.390499 | − | 0.472033i | ||||
\(259\) | 0.372615 | − | 0.791848i | 0.0231532 | − | 0.0492030i | ||||
\(260\) | 2.95889 | − | 1.76191i | 0.183503 | − | 0.109269i | ||||
\(261\) | 2.22833 | − | 2.09254i | 0.137930 | − | 0.129525i | ||||
\(262\) | −2.80012 | + | 1.53938i | −0.172992 | + | 0.0951030i | ||||
\(263\) | 2.25969 | − | 4.80209i | 0.139339 | − | 0.296110i | −0.822963 | − | 0.568096i | \(-0.807680\pi\) |
0.962301 | + | 0.271986i | \(0.0876804\pi\) | |||||||
\(264\) | −0.607797 | − | 1.29163i | −0.0374073 | − | 0.0794946i | ||||
\(265\) | 6.05842 | − | 21.0896i | 0.372166 | − | 1.29552i | ||||
\(266\) | −17.3379 | − | 2.19029i | −1.06306 | − | 0.134295i | ||||
\(267\) | 0.687272 | + | 10.9239i | 0.0420604 | + | 0.668530i | ||||
\(268\) | −4.48992 | − | 13.8186i | −0.274265 | − | 0.844102i | ||||
\(269\) | −5.68963 | + | 8.96542i | −0.346903 | + | 0.546631i | −0.972318 | − | 0.233661i | \(-0.924929\pi\) |
0.625416 | + | 0.780292i | \(0.284929\pi\) | |||||||
\(270\) | 0.763760 | + | 2.10159i | 0.0464809 | + | 0.127899i | ||||
\(271\) | 4.97125 | − | 1.27640i | 0.301982 | − | 0.0775358i | −0.0946586 | − | 0.995510i | \(-0.530176\pi\) |
0.396641 | + | 0.917974i | \(0.370176\pi\) | |||||||
\(272\) | 0.202923 | − | 3.22537i | 0.0123040 | − | 0.195567i | ||||
\(273\) | −1.38938 | + | 7.28339i | −0.0840892 | + | 0.440811i | ||||
\(274\) | −4.30298 | + | 13.2432i | −0.259952 | + | 0.800051i | ||||
\(275\) | 6.80127 | + | 2.16476i | 0.410132 | + | 0.130540i | ||||
\(276\) | −0.735884 | − | 2.26482i | −0.0442950 | − | 0.136326i | ||||
\(277\) | 25.2018 | − | 3.18373i | 1.51423 | − | 0.191292i | 0.676121 | − | 0.736791i | \(-0.263660\pi\) |
0.838112 | + | 0.545499i | \(0.183660\pi\) | |||||||
\(278\) | 9.69104 | + | 3.83696i | 0.581230 | + | 0.230125i | ||||
\(279\) | 7.02702 | + | 2.78219i | 0.420696 | + | 0.166566i | ||||
\(280\) | 1.65214 | − | 10.6380i | 0.0987341 | − | 0.635741i | ||||
\(281\) | 0.348869 | + | 5.54511i | 0.0208118 | + | 0.330794i | 0.994632 | + | 0.103475i | \(0.0329960\pi\) |
−0.973820 | + | 0.227319i | \(0.927004\pi\) | |||||||
\(282\) | 5.16132 | − | 3.74992i | 0.307352 | − | 0.223305i | ||||
\(283\) | −19.1713 | − | 4.92234i | −1.13961 | − | 0.292603i | −0.368703 | − | 0.929547i | \(-0.620198\pi\) |
−0.770910 | + | 0.636944i | \(0.780198\pi\) | |||||||
\(284\) | −6.37689 | − | 5.98830i | −0.378399 | − | 0.355340i | ||||
\(285\) | −4.11063 | + | 6.99862i | −0.243493 | + | 0.414562i | ||||
\(286\) | −1.92653 | − | 1.05912i | −0.113918 | − | 0.0626270i | ||||
\(287\) | −38.2696 | − | 4.83458i | −2.25899 | − | 0.285376i | ||||
\(288\) | 0.187381 | + | 0.982287i | 0.0110415 | + | 0.0578818i | ||||
\(289\) | 6.50412 | − | 0.821662i | 0.382595 | − | 0.0483330i | ||||
\(290\) | −1.04898 | + | 6.75430i | −0.0615982 | + | 0.396626i | ||||
\(291\) | −1.15422 | − | 6.05062i | −0.0676615 | − | 0.354694i | ||||
\(292\) | 0.864849 | − | 1.36278i | 0.0506115 | − | 0.0797509i | ||||
\(293\) | −9.72535 | − | 7.06588i | −0.568161 | − | 0.412793i | 0.266276 | − | 0.963897i | \(-0.414207\pi\) |
−0.834437 | + | 0.551104i | \(0.814207\pi\) | |||||||
\(294\) | 10.3130 | + | 12.4663i | 0.601469 | + | 0.727051i | ||||
\(295\) | 0.792680 | − | 27.8931i | 0.0461516 | − | 1.62400i | ||||
\(296\) | −0.0973982 | − | 0.153475i | −0.00566115 | − | 0.00892055i | ||||
\(297\) | 0.909919 | − | 1.09990i | 0.0527988 | − | 0.0638228i | ||||
\(298\) | −1.93545 | − | 4.11304i | −0.112117 | − | 0.238262i | ||||
\(299\) | −2.96709 | − | 2.15572i | −0.171591 | − | 0.124668i | ||||
\(300\) | −4.23767 | − | 2.65371i | −0.244662 | − | 0.153212i | ||||
\(301\) | −38.3274 | + | 27.8465i | −2.20915 | + | 1.60504i | ||||
\(302\) | −16.8709 | − | 9.27487i | −0.970812 | − | 0.533709i | ||||
\(303\) | 0.930094 | − | 0.238808i | 0.0534325 | − | 0.0137191i | ||||
\(304\) | −2.31373 | + | 2.79682i | −0.132702 | + | 0.160409i | ||||
\(305\) | −16.3985 | − | 14.3699i | −0.938977 | − | 0.822818i | ||||
\(306\) | 3.00480 | − | 1.18969i | 0.171773 | − | 0.0680098i | ||||
\(307\) | 22.2930 | 1.27233 | 0.636163 | − | 0.771555i | \(-0.280521\pi\) | ||||
0.636163 | + | 0.771555i | \(0.280521\pi\) | |||||||
\(308\) | −6.39002 | + | 2.52999i | −0.364105 | + | 0.144160i | ||||
\(309\) | 5.89875 | − | 3.24287i | 0.335568 | − | 0.184480i | ||||
\(310\) | −16.2144 | + | 4.76360i | −0.920915 | + | 0.270554i | ||||
\(311\) | 6.58303 | − | 34.5095i | 0.373290 | − | 1.95685i | 0.0996357 | − | 0.995024i | \(-0.468232\pi\) |
0.273654 | − | 0.961828i | \(-0.411768\pi\) | |||||||
\(312\) | 1.12268 | + | 1.05426i | 0.0635590 | + | 0.0596859i | ||||
\(313\) | 10.1425 | + | 9.52446i | 0.573289 | + | 0.538354i | 0.916048 | − | 0.401069i | \(-0.131361\pi\) |
−0.342759 | + | 0.939424i | \(0.611361\pi\) | |||||||
\(314\) | 0.695481 | − | 3.64584i | 0.0392483 | − | 0.205747i | ||||
\(315\) | 10.3290 | − | 3.03454i | 0.581972 | − | 0.170977i | ||||
\(316\) | −8.97963 | + | 4.93659i | −0.505143 | + | 0.277705i | ||||
\(317\) | −7.59965 | + | 3.00891i | −0.426839 | + | 0.168997i | −0.571715 | − | 0.820452i | \(-0.693722\pi\) |
0.144876 | + | 0.989450i | \(0.453722\pi\) | |||||||
\(318\) | 9.81300 | 0.550286 | ||||||||
\(319\) | 4.05717 | − | 1.60635i | 0.227158 | − | 0.0899382i | ||||
\(320\) | −1.68174 | − | 1.47369i | −0.0940119 | − | 0.0823818i | ||||
\(321\) | −1.28885 | + | 1.55796i | −0.0719368 | + | 0.0869566i | ||||
\(322\) | −11.1049 | + | 2.85125i | −0.618851 | + | 0.158894i | ||||
\(323\) | 10.2797 | + | 5.65129i | 0.571975 | + | 0.314446i | ||||
\(324\) | −0.809017 | + | 0.587785i | −0.0449454 | + | 0.0326547i | ||||
\(325\) | −7.68220 | + | 0.529695i | −0.426132 | + | 0.0293822i | ||||
\(326\) | −18.8049 | − | 13.6625i | −1.04151 | − | 0.756699i | ||||
\(327\) | −0.278406 | − | 0.591643i | −0.0153959 | − | 0.0327179i | ||||
\(328\) | −5.10706 | + | 6.17338i | −0.281990 | + | 0.340868i | ||||
\(329\) | −16.4580 | − | 25.9337i | −0.907360 | − | 1.42977i | ||||
\(330\) | −0.0906744 | + | 3.19068i | −0.00499146 | + | 0.175641i | ||||
\(331\) | −7.25547 | − | 8.77036i | −0.398797 | − | 0.482063i | 0.532445 | − | 0.846465i | \(-0.321273\pi\) |
−0.931242 | + | 0.364402i | \(0.881273\pi\) | |||||||
\(332\) | 5.07247 | + | 3.68536i | 0.278388 | + | 0.202261i | ||||
\(333\) | 0.0973982 | − | 0.153475i | 0.00533739 | − | 0.00841038i | ||||
\(334\) | 1.91644 | + | 10.0463i | 0.104863 | + | 0.549711i | ||||
\(335\) | −4.98600 | + | 32.1045i | −0.272414 | + | 1.75406i | ||||
\(336\) | 4.77652 | − | 0.603415i | 0.260581 | − | 0.0329190i | ||||
\(337\) | 1.65897 | + | 8.69664i | 0.0903701 | + | 0.473736i | 0.998485 | + | 0.0550164i | \(0.0175211\pi\) |
−0.908115 | + | 0.418720i | \(0.862479\pi\) | |||||||
\(338\) | −10.5443 | − | 1.33206i | −0.573536 | − | 0.0724544i | ||||
\(339\) | 0.738769 | + | 0.406142i | 0.0401244 | + | 0.0220586i | ||||
\(340\) | −3.65983 | + | 6.23110i | −0.198482 | + | 0.337929i | ||||
\(341\) | 7.86458 | + | 7.38533i | 0.425891 | + | 0.399938i | ||||
\(342\) | −3.51578 | − | 0.902699i | −0.190112 | − | 0.0488124i | ||||
\(343\) | 35.7532 | − | 25.9762i | 1.93049 | − | 1.40258i | ||||
\(344\) | 0.617868 | + | 9.82074i | 0.0333132 | + | 0.529499i | ||||
\(345\) | −0.817191 | + | 5.26183i | −0.0439961 | + | 0.283287i | ||||
\(346\) | −10.5909 | − | 4.19322i | −0.569369 | − | 0.225429i | ||||
\(347\) | −14.2534 | − | 5.64333i | −0.765164 | − | 0.302950i | −0.0470661 | − | 0.998892i | \(-0.514987\pi\) |
−0.718098 | + | 0.695942i | \(0.754987\pi\) | |||||||
\(348\) | −3.03272 | + | 0.383122i | −0.162571 | + | 0.0205375i | ||||
\(349\) | −1.57259 | − | 4.83993i | −0.0841787 | − | 0.259075i | 0.900104 | − | 0.435675i | \(-0.143490\pi\) |
−0.984283 | + | 0.176600i | \(0.943490\pi\) | |||||||
\(350\) | −14.0321 | + | 19.5597i | −0.750048 | + | 1.04551i | ||||
\(351\) | −0.475913 | + | 1.46471i | −0.0254024 | + | 0.0781805i | ||||
\(352\) | −0.267486 | + | 1.40221i | −0.0142570 | + | 0.0747380i | ||||
\(353\) | −0.451756 | + | 7.18046i | −0.0240446 | + | 0.382177i | 0.967540 | + | 0.252717i | \(0.0813243\pi\) |
−0.991585 | + | 0.129460i | \(0.958676\pi\) | |||||||
\(354\) | 12.0872 | − | 3.10346i | 0.642426 | − | 0.164947i | ||||
\(355\) | 6.68123 | + | 18.3843i | 0.354603 | + | 0.975738i | ||||
\(356\) | 5.86488 | − | 9.24157i | 0.310838 | − | 0.489802i | ||||
\(357\) | −4.80805 | − | 14.7977i | −0.254469 | − | 0.783176i | ||||
\(358\) | −0.697785 | − | 11.0910i | −0.0368791 | − | 0.586176i | ||||
\(359\) | −25.2764 | − | 3.19315i | −1.33404 | − | 0.168528i | −0.574240 | − | 0.818687i | \(-0.694702\pi\) |
−0.759798 | + | 0.650159i | \(0.774702\pi\) | |||||||
\(360\) | 0.617388 | − | 2.14915i | 0.0325392 | − | 0.113270i | ||||
\(361\) | 2.47991 | + | 5.27008i | 0.130522 | + | 0.277373i | ||||
\(362\) | 9.42176 | − | 20.0223i | 0.495197 | − | 1.05235i | ||||
\(363\) | −7.85369 | + | 4.31760i | −0.412212 | + | 0.226615i | ||||
\(364\) | 5.40511 | − | 5.07573i | 0.283305 | − | 0.266041i | ||||
\(365\) | −3.10098 | + | 1.84652i | −0.162313 | + | 0.0966511i | ||||
\(366\) | 4.15176 | − | 8.82293i | 0.217016 | − | 0.461182i | ||||
\(367\) | 12.4537 | + | 15.0539i | 0.650077 | + | 0.785808i | 0.987849 | − | 0.155420i | \(-0.0496730\pi\) |
−0.337771 | + | 0.941228i | \(0.609673\pi\) | |||||||
\(368\) | −0.735884 | + | 2.26482i | −0.0383606 | + | 0.118062i | ||||
\(369\) | −7.76032 | − | 1.99251i | −0.403986 | − | 0.103726i | ||||
\(370\) | 0.0394665 | + | 0.404533i | 0.00205177 | + | 0.0210307i | ||||
\(371\) | 2.96651 | − | 47.1513i | 0.154013 | − | 2.44797i | ||||
\(372\) | −4.04964 | − | 6.38122i | −0.209964 | − | 0.330851i | ||||
\(373\) | −19.6009 | + | 18.4064i | −1.01489 | + | 0.953050i | −0.998903 | − | 0.0468223i | \(-0.985091\pi\) |
−0.0159917 | + | 0.999872i | \(0.505091\pi\) | |||||||
\(374\) | 4.61330 | 0.238548 | ||||||||
\(375\) | 5.77778 | + | 9.57169i | 0.298363 | + | 0.494280i | ||||
\(376\) | −6.37975 | −0.329010 | ||||||||
\(377\) | −3.43182 | + | 3.22270i | −0.176748 | + | 0.165977i | ||||
\(378\) | 2.57973 | + | 4.06500i | 0.132687 | + | 0.209081i | ||||
\(379\) | 1.91144 | − | 30.3815i | 0.0981843 | − | 1.56059i | −0.573156 | − | 0.819446i | \(-0.694281\pi\) |
0.671341 | − | 0.741149i | \(-0.265719\pi\) | |||||||
\(380\) | 7.43926 | − | 3.24583i | 0.381626 | − | 0.166508i | ||||
\(381\) | −17.9197 | − | 4.60101i | −0.918056 | − | 0.235717i | ||||
\(382\) | 0.654490 | − | 2.01431i | 0.0334866 | − | 0.103061i | ||||
\(383\) | 16.4019 | + | 19.8265i | 0.838099 | + | 1.01309i | 0.999656 | + | 0.0262245i | \(0.00834847\pi\) |
−0.161557 | + | 0.986863i | \(0.551652\pi\) | |||||||
\(384\) | 0.425779 | − | 0.904827i | 0.0217280 | − | 0.0461743i | ||||
\(385\) | 15.3038 | + | 1.40025i | 0.779953 | + | 0.0713631i | ||||
\(386\) | −2.53294 | + | 2.37859i | −0.128923 | + | 0.121067i | ||||
\(387\) | −8.62299 | + | 4.74053i | −0.438331 | + | 0.240975i | ||||
\(388\) | −2.62268 | + | 5.57349i | −0.133147 | + | 0.282951i | ||||
\(389\) | −15.0546 | − | 31.9927i | −0.763300 | − | 1.62209i | −0.782791 | − | 0.622284i | \(-0.786205\pi\) |
0.0194919 | − | 0.999810i | \(-0.493795\pi\) | |||||||
\(390\) | −1.17626 | − | 3.23663i | −0.0595621 | − | 0.163893i | ||||
\(391\) | 7.63530 | + | 0.964563i | 0.386134 | + | 0.0487801i | ||||
\(392\) | −1.01590 | − | 16.1473i | −0.0513109 | − | 0.815564i | ||||
\(393\) | 0.987421 | + | 3.03897i | 0.0498088 | + | 0.153296i | ||||
\(394\) | 1.41555 | − | 2.23055i | 0.0713145 | − | 0.112374i | ||||
\(395\) | 22.8997 | − | 0.788542i | 1.15221 | − | 0.0396759i | ||||
\(396\) | −1.38265 | + | 0.355003i | −0.0694806 | + | 0.0178396i | ||||
\(397\) | −0.864197 | + | 13.7360i | −0.0433728 | + | 0.689391i | 0.914926 | + | 0.403622i | \(0.132249\pi\) |
−0.958299 | + | 0.285769i | \(0.907751\pi\) | |||||||
\(398\) | −3.05837 | + | 16.0326i | −0.153302 | + | 0.803640i | ||||
\(399\) | −5.40029 | + | 16.6204i | −0.270353 | + | 0.832060i | ||||
\(400\) | 1.86853 | + | 4.63774i | 0.0934265 | + | 0.231887i | ||||
\(401\) | 1.15180 | + | 3.54488i | 0.0575182 | + | 0.177023i | 0.975688 | − | 0.219164i | \(-0.0703331\pi\) |
−0.918170 | + | 0.396187i | \(0.870333\pi\) | |||||||
\(402\) | −14.4151 | + | 1.82105i | −0.718960 | + | 0.0908258i | ||||
\(403\) | −10.8222 | − | 4.28482i | −0.539093 | − | 0.213442i | ||||
\(404\) | −0.892830 | − | 0.353496i | −0.0444199 | − | 0.0175871i | ||||
\(405\) | 2.20748 | − | 0.356433i | 0.109690 | − | 0.0177113i | ||||
\(406\) | 0.924091 | + | 14.6880i | 0.0458618 | + | 0.728953i | ||||
\(407\) | 0.209922 | − | 0.152517i | 0.0104055 | − | 0.00756000i | ||||
\(408\) | −3.13021 | − | 0.803703i | −0.154969 | − | 0.0397892i | ||||
\(409\) | −12.8083 | − | 12.0278i | −0.633328 | − | 0.594734i | 0.299922 | − | 0.953964i | \(-0.403040\pi\) |
−0.933249 | + | 0.359230i | \(0.883040\pi\) | |||||||
\(410\) | 16.4205 | − | 7.16446i | 0.810952 | − | 0.353827i | ||||
\(411\) | 12.2023 | + | 6.70829i | 0.601896 | + | 0.330895i | ||||
\(412\) | −6.67830 | − | 0.843666i | −0.329016 | − | 0.0415644i | ||||
\(413\) | −11.2581 | − | 59.0168i | −0.553973 | − | 2.90403i | ||||
\(414\) | −2.36259 | + | 0.298465i | −0.116115 | + | 0.0146688i | ||||
\(415\) | −6.40243 | − | 12.4727i | −0.314283 | − | 0.612260i | ||||
\(416\) | −0.288584 | − | 1.51281i | −0.0141490 | − | 0.0741716i | ||||
\(417\) | 5.58491 | − | 8.80042i | 0.273494 | − | 0.430958i | ||||
\(418\) | −4.19196 | − | 3.04564i | −0.205035 | − | 0.148967i | ||||
\(419\) | 13.1227 | + | 15.8627i | 0.641088 | + | 0.774942i | 0.986545 | − | 0.163493i | \(-0.0522760\pi\) |
−0.345457 | + | 0.938435i | \(0.612276\pi\) | |||||||
\(420\) | −10.1400 | − | 3.61623i | −0.494780 | − | 0.176454i | ||||
\(421\) | 2.40032 | + | 3.78230i | 0.116984 | + | 0.184338i | 0.897774 | − | 0.440456i | \(-0.145183\pi\) |
−0.780790 | + | 0.624794i | \(0.785183\pi\) | |||||||
\(422\) | −8.98931 | + | 10.8662i | −0.437593 | + | 0.528959i | ||||
\(423\) | −2.71636 | − | 5.77257i | −0.132074 | − | 0.280672i | ||||
\(424\) | −7.93888 | − | 5.76794i | −0.385546 | − | 0.280116i | ||||
\(425\) | 13.5910 | − | 8.74012i | 0.659260 | − | 0.423958i | ||||
\(426\) | −7.07714 | + | 5.14184i | −0.342888 | + | 0.249123i | ||||
\(427\) | −41.1390 | − | 22.6163i | −1.99085 | − | 1.09448i | ||||
\(428\) | 1.95845 | − | 0.502844i | 0.0946652 | − | 0.0243059i | ||||
\(429\) | −1.40135 | + | 1.69395i | −0.0676580 | + | 0.0817845i | ||||
\(430\) | 8.67782 | − | 20.2198i | 0.418482 | − | 0.975083i | ||||
\(431\) | 37.2393 | − | 14.7441i | 1.79375 | − | 0.710197i | 0.799817 | − | 0.600243i | \(-0.204930\pi\) |
0.993937 | − | 0.109954i | \(-0.0350703\pi\) | |||||||
\(432\) | 1.00000 | 0.0481125 | ||||||||
\(433\) | 15.0144 | − | 5.94464i | 0.721548 | − | 0.285681i | 0.0214920 | − | 0.999769i | \(-0.493158\pi\) |
0.700056 | + | 0.714088i | \(0.253158\pi\) | |||||||
\(434\) | −31.8859 | + | 17.5294i | −1.53057 | + | 0.841438i | ||||
\(435\) | 6.43810 | + | 2.29603i | 0.308683 | + | 0.110086i | ||||
\(436\) | −0.122524 | + | 0.642292i | −0.00586783 | + | 0.0307602i | ||||
\(437\) | −6.30117 | − | 5.91719i | −0.301426 | − | 0.283058i | ||||
\(438\) | −1.17659 | − | 1.10489i | −0.0562196 | − | 0.0527937i | ||||
\(439\) | −6.36775 | + | 33.3809i | −0.303916 | + | 1.59318i | 0.422786 | + | 0.906230i | \(0.361052\pi\) |
−0.726702 | + | 0.686953i | \(0.758948\pi\) | |||||||
\(440\) | 1.94879 | − | 2.52802i | 0.0929051 | − | 0.120519i | ||||
\(441\) | 14.1780 | − | 7.79442i | 0.675143 | − | 0.371163i | ||||
\(442\) | −4.62766 | + | 1.83222i | −0.220115 | + | 0.0871498i | ||||
\(443\) | −32.1300 | −1.52654 | −0.763272 | − | 0.646077i | \(-0.776408\pi\) | ||||
−0.763272 | + | 0.646077i | \(0.776408\pi\) | |||||||
\(444\) | −0.169007 | + | 0.0669147i | −0.00802072 | + | 0.00317563i | ||||
\(445\) | −21.0290 | + | 12.5219i | −0.996869 | + | 0.593597i | ||||
\(446\) | 3.75504 | − | 4.53907i | 0.177807 | − | 0.214931i | ||||
\(447\) | −4.40285 | + | 1.13046i | −0.208248 | + | 0.0534689i | ||||
\(448\) | −4.21896 | − | 2.31940i | −0.199327 | − | 0.109581i | ||||
\(449\) | 21.3527 | − | 15.5136i | 1.00769 | − | 0.732133i | 0.0439701 | − | 0.999033i | \(-0.485999\pi\) |
0.963724 | + | 0.266900i | \(0.0859994\pi\) | |||||||
\(450\) | −3.40077 | + | 3.66535i | −0.160314 | + | 0.172786i | ||||
\(451\) | −9.25283 | − | 6.72257i | −0.435699 | − | 0.316554i | ||||
\(452\) | −0.358953 | − | 0.762814i | −0.0168837 | − | 0.0358797i | ||||
\(453\) | −12.2719 | + | 14.8342i | −0.576583 | + | 0.696969i | ||||
\(454\) | 13.8600 | + | 21.8398i | 0.650481 | + | 1.02499i | ||||
\(455\) | −15.9075 | + | 4.67345i | −0.745757 | + | 0.219095i | ||||
\(456\) | 2.31373 | + | 2.79682i | 0.108351 | + | 0.130973i | ||||
\(457\) | −1.38813 | − | 1.00854i | −0.0649340 | − | 0.0471773i | 0.554845 | − | 0.831954i | \(-0.312778\pi\) |
−0.619779 | + | 0.784777i | \(0.712778\pi\) | |||||||
\(458\) | 4.14501 | − | 6.53149i | 0.193684 | − | 0.305196i | ||||
\(459\) | −0.605569 | − | 3.17450i | −0.0282655 | − | 0.148173i | ||||
\(460\) | 3.75395 | − | 3.77658i | 0.175029 | − | 0.176084i | ||||
\(461\) | 32.2852 | − | 4.07856i | 1.50367 | − | 0.189958i | 0.670058 | − | 0.742309i | \(-0.266269\pi\) |
0.833612 | + | 0.552351i | \(0.186269\pi\) | |||||||
\(462\) | 1.28781 | + | 6.75091i | 0.0599141 | + | 0.314081i | ||||
\(463\) | −31.7149 | − | 4.00653i | −1.47392 | − | 0.186199i | −0.653049 | − | 0.757316i | \(-0.726511\pi\) |
−0.820869 | + | 0.571116i | \(0.806511\pi\) | |||||||
\(464\) | 2.67872 | + | 1.47264i | 0.124356 | + | 0.0683655i | ||||
\(465\) | 1.64095 | + | 16.8198i | 0.0760972 | + | 0.779999i | ||||
\(466\) | −12.7638 | − | 11.9860i | −0.591270 | − | 0.555239i | ||||
\(467\) | −7.48723 | − | 1.92239i | −0.346468 | − | 0.0889578i | 0.0714461 | − | 0.997444i | \(-0.477239\pi\) |
−0.417914 | + | 0.908487i | \(0.637239\pi\) | |||||||
\(468\) | 1.24596 | − | 0.905241i | 0.0575944 | − | 0.0418448i | ||||
\(469\) | 4.39238 | + | 69.8149i | 0.202821 | + | 3.22375i | ||||
\(470\) | 12.7301 | + | 6.43820i | 0.587196 | + | 0.296972i | ||||
\(471\) | −3.45094 | − | 1.36633i | −0.159011 | − | 0.0629569i | ||||
\(472\) | −11.6029 | − | 4.59391i | −0.534066 | − | 0.211452i | ||||
\(473\) | −13.9360 | + | 1.76053i | −0.640778 | + | 0.0809490i | ||||
\(474\) | 3.16654 | + | 9.74560i | 0.145444 | + | 0.447630i | ||||
\(475\) | −18.1198 | − | 1.03071i | −0.831394 | − | 0.0472921i | ||||
\(476\) | −4.80805 | + | 14.7977i | −0.220377 | + | 0.678250i | ||||
\(477\) | 1.83877 | − | 9.63919i | 0.0841916 | − | 0.441348i | ||||
\(478\) | −0.527210 | + | 8.37976i | −0.0241140 | + | 0.383281i | ||||
\(479\) | 8.12364 | − | 2.08580i | 0.371178 | − | 0.0953024i | −0.0584928 | − | 0.998288i | \(-0.518629\pi\) |
0.429671 | + | 0.902985i | \(0.358629\pi\) | |||||||
\(480\) | −1.76271 | + | 1.37581i | −0.0804565 | + | 0.0627966i | ||||
\(481\) | −0.150002 | + | 0.236365i | −0.00683949 | + | 0.0107773i | ||||
\(482\) | −5.70316 | − | 17.5525i | −0.259772 | − | 0.799496i | ||||
\(483\) | 0.719898 | + | 11.4425i | 0.0327565 | + | 0.520650i | ||||
\(484\) | 8.89159 | + | 1.12327i | 0.404163 | + | 0.0510577i | ||||
\(485\) | 10.8578 | − | 8.47459i | 0.493029 | − | 0.384811i | ||||
\(486\) | 0.425779 | + | 0.904827i | 0.0193137 | + | 0.0410438i | ||||
\(487\) | −2.99963 | + | 6.37454i | −0.135926 | + | 0.288858i | −0.961189 | − | 0.275891i | \(-0.911027\pi\) |
0.825263 | + | 0.564749i | \(0.191027\pi\) | |||||||
\(488\) | −8.54483 | + | 4.69756i | −0.386806 | + | 0.212649i | ||||
\(489\) | −16.9442 | + | 15.9117i | −0.766245 | + | 0.719552i | ||||
\(490\) | −14.2681 | + | 33.2455i | −0.644569 | + | 1.50188i | ||||
\(491\) | 13.1385 | − | 27.9207i | 0.592931 | − | 1.26004i | −0.352984 | − | 0.935629i | \(-0.614833\pi\) |
0.945915 | − | 0.324413i | \(-0.105167\pi\) | |||||||
\(492\) | 5.10706 | + | 6.17338i | 0.230244 | + | 0.278317i | ||||
\(493\) | 3.05274 | − | 9.39538i | 0.137489 | − | 0.423147i | ||||
\(494\) | 5.41461 | + | 1.39024i | 0.243615 | + | 0.0625497i | ||||
\(495\) | 3.11718 | + | 0.686943i | 0.140107 | + | 0.0308758i | ||||
\(496\) | −0.474555 | + | 7.54283i | −0.0213081 | + | 0.338683i | ||||
\(497\) | 22.5670 | + | 35.5599i | 1.01227 | + | 1.59508i | ||||
\(498\) | 4.57057 | − | 4.29205i | 0.204812 | − | 0.192331i | ||||
\(499\) | −7.64895 | −0.342414 | −0.171207 | − | 0.985235i | \(-0.554767\pi\) | ||||
−0.171207 | + | 0.985235i | \(0.554767\pi\) | |||||||
\(500\) | 0.951775 | − | 11.1398i | 0.0425647 | − | 0.498185i | ||||
\(501\) | 10.2275 | 0.456931 | ||||||||
\(502\) | 12.7584 | − | 11.9809i | 0.569435 | − | 0.534735i | ||||
\(503\) | −20.7415 | − | 32.6834i | −0.924817 | − | 1.45728i | −0.888993 | − | 0.457921i | \(-0.848594\pi\) |
−0.0358240 | − | 0.999358i | \(-0.511406\pi\) | |||||||
\(504\) | 0.302304 | − | 4.80498i | 0.0134657 | − | 0.214031i | ||||
\(505\) | 1.42481 | + | 1.60637i | 0.0634032 | + | 0.0714827i | ||||
\(506\) | −3.29259 | − | 0.845395i | −0.146374 | − | 0.0375824i | ||||
\(507\) | −3.28427 | + | 10.1080i | −0.145860 | + | 0.448910i | ||||
\(508\) | 11.7930 | + | 14.2552i | 0.523228 | + | 0.632474i | ||||
\(509\) | −10.6927 | + | 22.7232i | −0.473947 | + | 1.00719i | 0.514760 | + | 0.857334i | \(0.327881\pi\) |
−0.988708 | + | 0.149856i | \(0.952119\pi\) | |||||||
\(510\) | 5.43494 | + | 4.76260i | 0.240663 | + | 0.210891i | ||||
\(511\) | −5.66467 | + | 5.31948i | −0.250590 | + | 0.235320i | ||||
\(512\) | −0.876307 | + | 0.481754i | −0.0387276 | + | 0.0212907i | ||||
\(513\) | −1.54550 | + | 3.28436i | −0.0682356 | + | 0.145008i | ||||
\(514\) | −11.9515 | − | 25.3981i | −0.527156 | − | 1.12026i | ||||
\(515\) | 12.4744 | + | 8.42293i | 0.549690 | + | 0.371159i | ||||
\(516\) | 9.76256 | + | 1.23330i | 0.429773 | + | 0.0542929i | ||||
\(517\) | −0.571836 | − | 9.08908i | −0.0251493 | − | 0.399737i | ||||
\(518\) | 0.270432 | + | 0.832305i | 0.0118821 | + | 0.0365694i | ||||
\(519\) | −6.10348 | + | 9.61754i | −0.267913 | + | 0.422163i | ||||
\(520\) | −0.950831 | + | 3.30988i | −0.0416967 | + | 0.145148i | ||||
\(521\) | 30.8890 | − | 7.93095i | 1.35327 | − | 0.347461i | 0.498691 | − | 0.866780i | \(-0.333814\pi\) |
0.854581 | + | 0.519318i | \(0.173814\pi\) | |||||||
\(522\) | −0.191940 | + | 3.05079i | −0.00840097 | + | 0.133530i | ||||
\(523\) | −4.42403 | + | 23.1916i | −0.193449 | + | 1.01410i | 0.744578 | + | 0.667536i | \(0.232651\pi\) |
−0.938027 | + | 0.346562i | \(0.887349\pi\) | |||||||
\(524\) | 0.987421 | − | 3.03897i | 0.0431357 | − | 0.132758i | ||||
\(525\) | 16.5839 | + | 17.4487i | 0.723780 | + | 0.761523i | ||||
\(526\) | 1.64001 | + | 5.04744i | 0.0715080 | + | 0.220079i | ||||
\(527\) | 24.2321 | − | 3.06123i | 1.05557 | − | 0.133349i | ||||
\(528\) | 1.32725 | + | 0.525495i | 0.0577611 | + | 0.0228693i | ||||
\(529\) | 16.1122 | + | 6.37926i | 0.700529 | + | 0.277359i | ||||
\(530\) | 10.0204 | + | 19.5209i | 0.435259 | + | 0.847935i | ||||
\(531\) | −0.783577 | − | 12.4546i | −0.0340043 | − | 0.540483i | ||||
\(532\) | 14.1381 | − | 10.2720i | 0.612966 | − | 0.445346i | ||||
\(533\) | 11.9516 | + | 3.06864i | 0.517680 | + | 0.132918i | ||||
\(534\) | −7.97891 | − | 7.49269i | −0.345281 | − | 0.324240i | ||||
\(535\) | −4.41532 | − | 0.973020i | −0.190891 | − | 0.0420673i | ||||
\(536\) | 12.7325 | + | 6.99973i | 0.549958 | + | 0.302342i | ||||
\(537\) | −11.0253 | − | 1.39282i | −0.475775 | − | 0.0601044i | ||||
\(538\) | −1.98969 | − | 10.4303i | −0.0857817 | − | 0.449683i | ||||
\(539\) | 22.9137 | − | 2.89467i | 0.986962 | − | 0.124682i | ||||
\(540\) | −1.99539 | − | 1.00916i | −0.0858680 | − | 0.0434274i | ||||
\(541\) | −6.02055 | − | 31.5608i | −0.258843 | − | 1.35691i | −0.839767 | − | 0.542947i | \(-0.817308\pi\) |
0.580924 | − | 0.813958i | \(-0.302692\pi\) | |||||||
\(542\) | −2.75013 | + | 4.33351i | −0.118128 | + | 0.186140i | ||||
\(543\) | −17.9021 | − | 13.0067i | −0.768255 | − | 0.558170i | ||||
\(544\) | 2.05999 | + | 2.49010i | 0.0883215 | + | 0.106762i | ||||
\(545\) | 0.892660 | − | 1.15798i | 0.0382374 | − | 0.0496024i | ||||
\(546\) | −3.97301 | − | 6.26046i | −0.170029 | − | 0.267923i | ||||
\(547\) | 10.9175 | − | 13.1970i | 0.466800 | − | 0.564264i | −0.483602 | − | 0.875288i | \(-0.660672\pi\) |
0.950402 | + | 0.311024i | \(0.100672\pi\) | |||||||
\(548\) | −5.92886 | − | 12.5995i | −0.253268 | − | 0.538223i | ||||
\(549\) | −7.88869 | − | 5.73147i | −0.336681 | − | 0.244613i | ||||
\(550\) | −6.43979 | + | 3.07775i | −0.274594 | + | 0.131236i | ||||
\(551\) | −8.97663 | + | 6.52191i | −0.382417 | + | 0.277842i | ||||
\(552\) | 2.08681 | + | 1.14723i | 0.0888206 | + | 0.0488296i | ||||
\(553\) | 47.7847 | − | 12.2690i | 2.03201 | − | 0.521732i | ||||
\(554\) | −16.1919 | + | 19.5727i | −0.687930 | + | 0.831564i | ||||
\(555\) | 0.404763 | + | 0.0370345i | 0.0171812 | + | 0.00157203i | ||||
\(556\) | −9.69104 | + | 3.83696i | −0.410992 | + | 0.162723i | ||||
\(557\) | −20.9445 | −0.887445 | −0.443723 | − | 0.896164i | \(-0.646342\pi\) | ||||
−0.443723 | + | 0.896164i | \(0.646342\pi\) | |||||||
\(558\) | −7.02702 | + | 2.78219i | −0.297477 | + | 0.117780i | ||||
\(559\) | 13.2802 | − | 7.30083i | 0.561691 | − | 0.308792i | ||||
\(560\) | 6.07785 | + | 8.88572i | 0.256836 | + | 0.375490i | ||||
\(561\) | 0.864446 | − | 4.53158i | 0.0364969 | − | 0.191324i | ||||
\(562\) | −4.05021 | − | 3.80340i | −0.170848 | − | 0.160437i | ||||
\(563\) | −2.28233 | − | 2.14325i | −0.0961889 | − | 0.0903274i | 0.634961 | − | 0.772544i | \(-0.281016\pi\) |
−0.731150 | + | 0.682217i | \(0.761016\pi\) | |||||||
\(564\) | −1.19545 | + | 6.26674i | −0.0503373 | + | 0.263878i | ||||
\(565\) | −0.0535505 | + | 1.88435i | −0.00225289 | + | 0.0792754i | ||||
\(566\) | 17.3448 | − | 9.53540i | 0.729057 | − | 0.400803i | ||||
\(567\) | 4.47639 | − | 1.77233i | 0.187991 | − | 0.0744309i | ||||
\(568\) | 8.74782 | 0.367050 | ||||||||
\(569\) | 27.5234 | − | 10.8973i | 1.15384 | − | 0.456839i | 0.288234 | − | 0.957560i | \(-0.406932\pi\) |
0.865608 | + | 0.500721i | \(0.166932\pi\) | |||||||
\(570\) | −1.79436 | − | 7.91570i | −0.0751575 | − | 0.331552i | ||||
\(571\) | 7.28985 | − | 8.81192i | 0.305071 | − | 0.368767i | −0.595591 | − | 0.803288i | \(-0.703082\pi\) |
0.900662 | + | 0.434520i | \(0.143082\pi\) | |||||||
\(572\) | 2.12940 | − | 0.546736i | 0.0890346 | − | 0.0228602i | ||||
\(573\) | −1.85599 | − | 1.02034i | −0.0775353 | − | 0.0426254i | ||||
\(574\) | 31.2069 | − | 22.6731i | 1.30255 | − | 0.946357i | ||||
\(575\) | −11.3018 | + | 3.74741i | −0.471317 | + | 0.156278i | ||||
\(576\) | −0.809017 | − | 0.587785i | −0.0337090 | − | 0.0244911i | ||||
\(577\) | 11.5506 | + | 24.5463i | 0.480858 | + | 1.02187i | 0.987192 | + | 0.159537i | \(0.0510001\pi\) |
−0.506334 | + | 0.862337i | \(0.669000\pi\) | |||||||
\(578\) | −4.17883 | + | 5.05134i | −0.173817 | + | 0.210108i | ||||
\(579\) | 1.86183 | + | 2.93378i | 0.0773752 | + | 0.121924i | ||||
\(580\) | −3.85896 | − | 5.64175i | −0.160235 | − | 0.234261i | ||||
\(581\) | −19.2415 | − | 23.2590i | −0.798273 | − | 0.964947i | ||||
\(582\) | 4.98333 | + | 3.62060i | 0.206565 | + | 0.150079i | ||||
\(583\) | 7.50586 | − | 11.8273i | 0.310861 | − | 0.489838i | ||||
\(584\) | 0.302442 | + | 1.58546i | 0.0125151 | + | 0.0656067i | ||||
\(585\) | −3.39971 | + | 0.548939i | −0.140561 | + | 0.0226958i | ||||
\(586\) | 11.9264 | − | 1.50666i | 0.492675 | − | 0.0622394i | ||||
\(587\) | −1.79423 | − | 9.40570i | −0.0740559 | − | 0.388215i | −0.999946 | − | 0.0104211i | \(-0.996683\pi\) |
0.925890 | − | 0.377794i | \(-0.123317\pi\) | |||||||
\(588\) | −16.0517 | − | 2.02780i | −0.661960 | − | 0.0836250i | ||||
\(589\) | −24.0400 | − | 13.2161i | −0.990549 | − | 0.544559i | ||||
\(590\) | 18.5163 | + | 20.8758i | 0.762305 | + | 0.859445i | ||||
\(591\) | −1.92580 | − | 1.80844i | −0.0792167 | − | 0.0743894i | ||||
\(592\) | 0.176061 | + | 0.0452048i | 0.00723607 | + | 0.00185791i | ||||
\(593\) | −15.9443 | + | 11.5842i | −0.654756 | + | 0.475708i | −0.864888 | − | 0.501965i | \(-0.832611\pi\) |
0.210132 | + | 0.977673i | \(0.432611\pi\) | |||||||
\(594\) | 0.0896331 | + | 1.42468i | 0.00367769 | + | 0.0584552i | ||||
\(595\) | 24.5272 | − | 24.6751i | 1.00552 | − | 1.01158i | ||||
\(596\) | 4.22645 | + | 1.67337i | 0.173122 | + | 0.0685439i | ||||
\(597\) | 15.1755 | + | 6.00840i | 0.621092 | + | 0.245908i | ||||
\(598\) | 3.63860 | − | 0.459662i | 0.148794 | − | 0.0187970i | ||||
\(599\) | 7.11232 | + | 21.8895i | 0.290602 | + | 0.894380i | 0.984663 | + | 0.174465i | \(0.0558194\pi\) |
−0.694062 | + | 0.719915i | \(0.744181\pi\) | |||||||
\(600\) | 4.90572 | − | 0.966408i | 0.200275 | − | 0.0394534i | ||||
\(601\) | 4.02000 | − | 12.3723i | 0.163979 | − | 0.504677i | −0.834980 | − | 0.550280i | \(-0.814521\pi\) |
0.998960 | + | 0.0456033i | \(0.0145210\pi\) | |||||||
\(602\) | 8.87724 | − | 46.5361i | 0.361809 | − | 1.89667i | ||||
\(603\) | −0.912326 | + | 14.5010i | −0.0371528 | + | 0.590527i | ||||
\(604\) | 18.6475 | − | 4.78785i | 0.758754 | − | 0.194815i | ||||
\(605\) | −16.6087 | − | 11.2144i | −0.675238 | − | 0.455931i | ||||
\(606\) | −0.514534 | + | 0.810776i | −0.0209015 | + | 0.0329355i | ||||
\(607\) | 14.9533 | + | 46.0214i | 0.606934 | + | 1.86795i | 0.482905 | + | 0.875673i | \(0.339582\pi\) |
0.124030 | + | 0.992279i | \(0.460418\pi\) | |||||||
\(608\) | −0.227918 | − | 3.62266i | −0.00924331 | − | 0.146918i | ||||
\(609\) | 14.6010 | + | 1.84453i | 0.591662 | + | 0.0747443i | ||||
\(610\) | 21.7909 | − | 0.750361i | 0.882287 | − | 0.0303812i | ||||
\(611\) | 4.18344 | + | 8.89026i | 0.169244 | + | 0.359662i | ||||
\(612\) | −1.37601 | + | 2.92417i | −0.0556219 | + | 0.118203i | ||||
\(613\) | 6.66838 | − | 3.66597i | 0.269333 | − | 0.148067i | −0.341365 | − | 0.939931i | \(-0.610889\pi\) |
0.610698 | + | 0.791864i | \(0.290889\pi\) | |||||||
\(614\) | −16.2509 | + | 15.2606i | −0.655831 | + | 0.615867i | ||||
\(615\) | −3.96066 | − | 17.4722i | −0.159709 | − | 0.704546i | ||||
\(616\) | 2.92623 | − | 6.21856i | 0.117901 | − | 0.250553i | ||||
\(617\) | 1.93037 | + | 2.33341i | 0.0777136 | + | 0.0939396i | 0.807937 | − | 0.589269i | \(-0.200584\pi\) |
−0.730223 | + | 0.683208i | \(0.760584\pi\) | |||||||
\(618\) | −2.08011 | + | 6.40192i | −0.0836743 | + | 0.257523i | ||||
\(619\) | −10.9029 | − | 2.79939i | −0.438225 | − | 0.112517i | 0.0231304 | − | 0.999732i | \(-0.492637\pi\) |
−0.461355 | + | 0.887215i | \(0.652637\pi\) | |||||||
\(620\) | 8.55886 | − | 14.5720i | 0.343732 | − | 0.585226i | ||||
\(621\) | −0.149528 | + | 2.37667i | −0.00600034 | + | 0.0953726i | ||||
\(622\) | 18.8245 | + | 29.6627i | 0.754795 | + | 1.18937i | ||||
\(623\) | −38.4143 | + | 36.0734i | −1.53904 | + | 1.44525i | ||||
\(624\) | −1.54009 | −0.0616529 | ||||||||
\(625\) | −13.1410 | + | 21.2677i | −0.525639 | + | 0.850708i | ||||
\(626\) | −13.9135 | −0.556096 | ||||||||
\(627\) | −3.77718 | + | 3.54701i | −0.150846 | + | 0.141654i | ||||
\(628\) | 1.98877 | + | 3.13379i | 0.0793604 | + | 0.125052i | ||||
\(629\) | 0.0368857 | − | 0.586281i | 0.00147073 | − | 0.0233766i | ||||
\(630\) | −5.45222 | + | 9.28276i | −0.217222 | + | 0.369834i | ||||
\(631\) | 35.1177 | + | 9.01670i | 1.39802 | + | 0.358949i | 0.871157 | − | 0.491004i | \(-0.163370\pi\) |
0.526858 | + | 0.849953i | \(0.323370\pi\) | |||||||
\(632\) | 3.16654 | − | 9.74560i | 0.125958 | − | 0.387659i | ||||
\(633\) | 8.98931 | + | 10.8662i | 0.357293 | + | 0.431893i | ||||
\(634\) | 3.48016 | − | 7.39572i | 0.138215 | − | 0.293722i | ||||
\(635\) | −9.14575 | − | 40.3458i | −0.362938 | − | 1.60108i | ||||
\(636\) | −7.15337 | + | 6.71746i | −0.283650 | + | 0.266365i | ||||
\(637\) | −21.8354 | + | 12.0041i | −0.865148 | + | 0.475619i | ||||
\(638\) | −1.85793 | + | 3.94830i | −0.0735562 | + | 0.156315i | ||||
\(639\) | 3.72464 | + | 7.91526i | 0.147345 | + | 0.313123i | ||||
\(640\) | 2.23474 | − | 0.0769525i | 0.0883360 | − | 0.00304182i | ||||
\(641\) | −11.2613 | − | 1.42264i | −0.444796 | − | 0.0561909i | −0.100255 | − | 0.994962i | \(-0.531966\pi\) |
−0.344542 | + | 0.938771i | \(0.611966\pi\) | |||||||
\(642\) | −0.126961 | − | 2.01798i | −0.00501074 | − | 0.0796434i | ||||
\(643\) | −2.10287 | − | 6.47196i | −0.0829290 | − | 0.255229i | 0.900991 | − | 0.433837i | \(-0.142841\pi\) |
−0.983920 | + | 0.178608i | \(0.942841\pi\) | |||||||
\(644\) | 6.14330 | − | 9.68029i | 0.242080 | − | 0.381457i | ||||
\(645\) | −18.2355 | − | 12.3129i | −0.718024 | − | 0.484821i | ||||
\(646\) | −11.3621 | + | 2.91730i | −0.447036 | + | 0.114779i | ||||
\(647\) | −2.65574 | + | 42.2118i | −0.104408 | + | 1.65952i | 0.502376 | + | 0.864649i | \(0.332459\pi\) |
−0.606784 | + | 0.794867i | \(0.707541\pi\) | |||||||
\(648\) | 0.187381 | − | 0.982287i | 0.00736103 | − | 0.0385879i | ||||
\(649\) | 5.50483 | − | 16.9421i | 0.216084 | − | 0.665037i | ||||
\(650\) | 5.23748 | − | 5.64496i | 0.205431 | − | 0.221414i | ||||
\(651\) | 11.2441 | + | 34.6058i | 0.440691 | + | 1.35631i | ||||
\(652\) | 23.0608 | − | 2.91326i | 0.903132 | − | 0.114092i | ||||
\(653\) | −20.6338 | − | 8.16948i | −0.807461 | − | 0.319697i | −0.0721222 | − | 0.997396i | \(-0.522977\pi\) |
−0.735339 | + | 0.677699i | \(0.762977\pi\) | |||||||
\(654\) | 0.607957 | + | 0.240707i | 0.0237730 | + | 0.00941240i | ||||
\(655\) | −5.03711 | + | 5.06747i | −0.196816 | + | 0.198002i | ||||
\(656\) | −0.503080 | − | 7.99622i | −0.0196420 | − | 0.312200i | ||||
\(657\) | −1.30579 | + | 0.948712i | −0.0509437 | + | 0.0370128i | ||||
\(658\) | 29.7502 | + | 7.63856i | 1.15978 | + | 0.297782i | ||||
\(659\) | −9.19770 | − | 8.63722i | −0.358292 | − | 0.336458i | 0.484408 | − | 0.874842i | \(-0.339035\pi\) |
−0.842700 | + | 0.538384i | \(0.819035\pi\) | |||||||
\(660\) | −2.11807 | − | 2.38798i | −0.0824460 | − | 0.0929520i | ||||
\(661\) | 31.6266 | + | 17.3869i | 1.23013 | + | 0.676270i | 0.958214 | − | 0.286051i | \(-0.0923426\pi\) |
0.271916 | + | 0.962321i | \(0.412343\pi\) | |||||||
\(662\) | 11.2927 | + | 1.42660i | 0.438905 | + | 0.0554466i | ||||
\(663\) | 0.932629 | + | 4.88901i | 0.0362203 | + | 0.189874i | ||||
\(664\) | −6.22047 | + | 0.785828i | −0.241401 | + | 0.0304961i | ||||
\(665\) | −38.5772 | + | 6.22893i | −1.49596 | + | 0.241547i | ||||
\(666\) | 0.0340606 | + | 0.178552i | 0.00131982 | + | 0.00691875i | ||||
\(667\) | −3.90052 | + | 6.14623i | −0.151029 | + | 0.237983i | ||||
\(668\) | −8.27422 | − | 6.01157i | −0.320139 | − | 0.232595i | ||||
\(669\) | −3.75504 | − | 4.53907i | −0.145178 | − | 0.175491i | ||||
\(670\) | −18.3424 | − | 26.8163i | −0.708629 | − | 1.03600i | ||||
\(671\) | −7.45840 | − | 11.7526i | −0.287928 | − | 0.453703i | ||||
\(672\) | −3.06887 | + | 3.70962i | −0.118384 | + | 0.143102i | ||||
\(673\) | −3.27537 | − | 6.96051i | −0.126256 | − | 0.268308i | 0.831699 | − | 0.555228i | \(-0.187369\pi\) |
−0.957955 | + | 0.286919i | \(0.907369\pi\) | |||||||
\(674\) | −7.16260 | − | 5.20394i | −0.275893 | − | 0.200448i | ||||
\(675\) | 2.96318 | + | 4.02735i | 0.114053 | + | 0.155013i | ||||
\(676\) | 8.59834 | − | 6.24706i | 0.330705 | − | 0.240271i | ||||
\(677\) | 41.4602 | + | 22.7930i | 1.59345 | + | 0.876005i | 0.997324 | + | 0.0731116i | \(0.0232929\pi\) |
0.596123 | + | 0.802893i | \(0.296707\pi\) | |||||||
\(678\) | −0.816563 | + | 0.209658i | −0.0313599 | + | 0.00805186i | ||||
\(679\) | 18.9034 | − | 22.8503i | 0.725446 | − | 0.876913i | ||||
\(680\) | −1.59758 | − | 7.04760i | −0.0612643 | − | 0.270263i | ||||
\(681\) | 24.0501 | − | 9.52210i | 0.921601 | − | 0.364888i | ||||
\(682\) | −10.7886 | −0.413118 | ||||||||
\(683\) | 35.4365 | − | 14.0303i | 1.35594 | − | 0.536854i | 0.426052 | − | 0.904699i | \(-0.359904\pi\) |
0.929887 | + | 0.367844i | \(0.119904\pi\) | |||||||
\(684\) | 3.18084 | − | 1.74868i | 0.121622 | − | 0.0668624i | ||||
\(685\) | −0.884499 | + | 31.1241i | −0.0337950 | + | 1.18919i | ||||
\(686\) | −8.28102 | + | 43.4106i | −0.316171 | + | 1.65743i | ||||
\(687\) | −5.63910 | − | 5.29547i | −0.215145 | − | 0.202035i | ||||
\(688\) | −7.17316 | − | 6.73605i | −0.273474 | − | 0.256809i | ||||
\(689\) | −2.83187 | + | 14.8452i | −0.107886 | + | 0.565557i | ||||
\(690\) | −3.00626 | − | 4.39511i | −0.114447 | − | 0.167319i | ||||
\(691\) | −8.29613 | + | 4.56083i | −0.315600 | + | 0.173502i | −0.631678 | − | 0.775231i | \(-0.717634\pi\) |
0.316079 | + | 0.948733i | \(0.397634\pi\) | |||||||
\(692\) | 10.5909 | − | 4.19322i | 0.402604 | − | 0.159402i | ||||
\(693\) | 6.87265 | 0.261070 | ||||||||
\(694\) | 14.2534 | − | 5.64333i | 0.541053 | − | 0.214218i | ||||
\(695\) | 23.2095 | + | 2.12360i | 0.880388 | + | 0.0805527i | ||||
\(696\) | 1.94849 | − | 2.35532i | 0.0738575 | − | 0.0892784i | ||||
\(697\) | −25.0794 | + | 6.43929i | −0.949949 | + | 0.243906i | ||||
\(698\) | 4.45952 | + | 2.45164i | 0.168796 | + | 0.0927961i | ||||
\(699\) | −14.1654 | + | 10.2917i | −0.535783 | + | 0.389269i | ||||
\(700\) | −3.16056 | − | 23.8640i | −0.119458 | − | 0.901976i | ||||
\(701\) | −12.1828 | − | 8.85129i | −0.460136 | − | 0.334309i | 0.333448 | − | 0.942768i | \(-0.391788\pi\) |
−0.793585 | + | 0.608460i | \(0.791788\pi\) | |||||||
\(702\) | −0.655738 | − | 1.39351i | −0.0247492 | − | 0.0525948i | ||||
\(703\) | −0.420572 | + | 0.508384i | −0.0158622 | + | 0.0191741i | ||||
\(704\) | −0.764889 | − | 1.20527i | −0.0288278 | − | 0.0454254i | ||||
\(705\) | 8.70954 | − | 11.2982i | 0.328020 | − | 0.425516i | ||||
\(706\) | −4.58605 | − | 5.54358i | −0.172598 | − | 0.208635i | ||||
\(707\) | 3.74022 | + | 2.71743i | 0.140666 | + | 0.102199i | ||||
\(708\) | −6.68670 | + | 10.5366i | −0.251302 | + | 0.395988i | ||||
\(709\) | −8.13093 | − | 42.6238i | −0.305364 | − | 1.60077i | −0.722129 | − | 0.691758i | \(-0.756836\pi\) |
0.416766 | − | 0.909014i | \(-0.363164\pi\) | |||||||
\(710\) | −17.4553 | − | 8.82797i | −0.655087 | − | 0.331308i | ||||
\(711\) | 10.1663 | − | 1.28431i | 0.381267 | − | 0.0481652i | ||||
\(712\) | 2.05098 | + | 10.7516i | 0.0768636 | + | 0.402933i | ||||
\(713\) | −17.8559 | − | 2.25572i | −0.668708 | − | 0.0844775i | ||||
\(714\) | 13.6346 | + | 7.49570i | 0.510263 | + | 0.280519i | ||||
\(715\) | −4.80073 | − | 1.05795i | −0.179537 | − | 0.0395652i | ||||
\(716\) | 8.10095 | + | 7.60730i | 0.302747 | + | 0.284298i | ||||
\(717\) | 8.13254 | + | 2.08808i | 0.303715 | + | 0.0779808i | ||||
\(718\) | 20.6116 | − | 14.9752i | 0.769217 | − | 0.558869i | ||||
\(719\) | 2.24926 | + | 35.7510i | 0.0838834 | + | 1.33329i | 0.784669 | + | 0.619916i | \(0.212833\pi\) |
−0.700785 | + | 0.713372i | \(0.747167\pi\) | |||||||
\(720\) | 1.02114 | + | 1.98929i | 0.0380555 | + | 0.0741365i | ||||
\(721\) | 30.1323 | + | 11.9302i | 1.12219 | + | 0.444305i | ||||
\(722\) | −5.41540 | − | 2.14411i | −0.201540 | − | 0.0797954i | ||||
\(723\) | −18.3103 | + | 2.31313i | −0.680967 | + | 0.0860261i | ||||
\(724\) | 6.83801 | + | 21.0452i | 0.254133 | + | 0.782140i | ||||
\(725\) | 2.00671 | + | 15.1518i | 0.0745273 | + | 0.562725i | ||||
\(726\) | 2.76949 | − | 8.52362i | 0.102785 | − | 0.316341i | ||||
\(727\) | 0.526878 | − | 2.76199i | 0.0195408 | − | 0.102437i | −0.971181 | − | 0.238345i | \(-0.923395\pi\) |
0.990721 | + | 0.135908i | \(0.0433952\pi\) | |||||||
\(728\) | −0.465575 | + | 7.40010i | −0.0172553 | + | 0.274266i | ||||
\(729\) | 0.968583 | − | 0.248690i | 0.0358735 | − | 0.00921074i | ||||
\(730\) | 0.996492 | − | 3.46882i | 0.0368818 | − | 0.128387i | ||||
\(731\) | −17.0398 | + | 26.8504i | −0.630238 | + | 0.993097i | ||||
\(732\) | 3.01321 | + | 9.27371i | 0.111372 | + | 0.342766i | ||||
\(733\) | 1.59271 | + | 25.3154i | 0.0588280 | + | 0.935044i | 0.911162 | + | 0.412047i | \(0.135186\pi\) |
−0.852334 | + | 0.522997i | \(0.824814\pi\) | |||||||
\(734\) | −19.3835 | − | 2.44870i | −0.715457 | − | 0.0903832i | ||||
\(735\) | 29.9830 | + | 20.2450i | 1.10594 | + | 0.746748i | ||||
\(736\) | −1.01394 | − | 2.15473i | −0.0373743 | − | 0.0794244i | ||||
\(737\) | −8.83110 | + | 18.7670i | −0.325298 | + | 0.691293i | ||||
\(738\) | 7.02100 | − | 3.85983i | 0.258446 | − | 0.142082i | ||||
\(739\) | 14.1347 | − | 13.2734i | 0.519954 | − | 0.488270i | −0.379556 | − | 0.925169i | \(-0.623923\pi\) |
0.899511 | + | 0.436899i | \(0.143923\pi\) | |||||||
\(740\) | −0.305692 | − | 0.267875i | −0.0112375 | − | 0.00984730i | ||||
\(741\) | 2.38021 | − | 5.05820i | 0.0874392 | − | 0.185818i | ||||
\(742\) | 30.1148 | + | 36.4025i | 1.10555 | + | 1.33638i | ||||
\(743\) | 2.04684 | − | 6.29952i | 0.0750912 | − | 0.231107i | −0.906465 | − | 0.422281i | \(-0.861230\pi\) |
0.981556 | + | 0.191174i | \(0.0612295\pi\) | |||||||
\(744\) | 7.32031 | + | 1.87954i | 0.268375 | + | 0.0689071i | ||||
\(745\) | −6.74472 | − | 7.60420i | −0.247107 | − | 0.278596i | ||||
\(746\) | 1.68834 | − | 26.8354i | 0.0618146 | − | 0.982516i | ||||
\(747\) | −3.35959 | − | 5.29386i | −0.122921 | − | 0.193692i | ||||
\(748\) | −3.36295 | + | 3.15802i | −0.122962 | + | 0.115469i | ||||
\(749\) | −9.73475 | −0.355700 | ||||||||
\(750\) | −10.7641 | − | 3.02230i | −0.393049 | − | 0.110359i | ||||
\(751\) | −33.6328 | −1.22728 | −0.613638 | − | 0.789587i | \(-0.710295\pi\) | ||||
−0.613638 | + | 0.789587i | \(0.710295\pi\) | |||||||
\(752\) | 4.65064 | − | 4.36724i | 0.169591 | − | 0.159257i | ||||
\(753\) | −9.37803 | − | 14.7774i | −0.341754 | − | 0.538519i | ||||
\(754\) | 0.295604 | − | 4.69849i | 0.0107653 | − | 0.171109i | ||||
\(755\) | −42.0407 | − | 9.26465i | −1.53002 | − | 0.337175i | ||||
\(756\) | −4.66323 | − | 1.19731i | −0.169600 | − | 0.0435459i | ||||
\(757\) | −8.80285 | + | 27.0924i | −0.319945 | + | 0.984689i | 0.653726 | + | 0.756731i | \(0.273205\pi\) |
−0.973671 | + | 0.227958i | \(0.926795\pi\) | |||||||
\(758\) | 19.4042 | + | 23.4557i | 0.704793 | + | 0.851948i | ||||
\(759\) | −1.44739 | + | 3.07586i | −0.0525370 | + | 0.111647i | ||||
\(760\) | −3.20106 | + | 7.45863i | −0.116115 | + | 0.270553i | ||||
\(761\) | 6.81011 | − | 6.39512i | 0.246866 | − | 0.231823i | −0.551229 | − | 0.834354i | \(-0.685841\pi\) |
0.798095 | + | 0.602531i | \(0.205841\pi\) | |||||||
\(762\) | 16.2125 | − | 8.91291i | 0.587318 | − | 0.322881i | ||||
\(763\) | 1.34038 | − | 2.84846i | 0.0485251 | − | 0.103121i | ||||
\(764\) | 0.901789 | + | 1.91640i | 0.0326256 | + | 0.0693329i | ||||
\(765\) | 5.69664 | − | 4.44625i | 0.205963 | − | 0.160755i | ||||
\(766\) | −25.5287 | − | 3.22502i | −0.922389 | − | 0.116525i | ||||
\(767\) | 1.20678 | + | 19.1812i | 0.0435742 | + | 0.692592i | ||||
\(768\) | 0.309017 | + | 0.951057i | 0.0111507 | + | 0.0343183i | ||||
\(769\) | 10.7969 | − | 17.0131i | 0.389345 | − | 0.613509i | −0.591961 | − | 0.805967i | \(-0.701646\pi\) |
0.981305 | + | 0.192458i | \(0.0616459\pi\) | |||||||
\(770\) | −12.1145 | + | 9.45542i | −0.436577 | + | 0.340750i | ||||
\(771\) | −27.1877 | + | 6.98063i | −0.979143 | + | 0.251401i | ||||
\(772\) | 0.218178 | − | 3.46784i | 0.00785239 | − | 0.124810i | ||||
\(773\) | −0.0714530 | + | 0.374570i | −0.00256999 | + | 0.0134723i | −0.983549 | − | 0.180641i | \(-0.942183\pi\) |
0.980979 | + | 0.194113i | \(0.0621829\pi\) | |||||||
\(774\) | 3.04077 | − | 9.35854i | 0.109298 | − | 0.336386i | ||||
\(775\) | −31.7838 | + | 20.4396i | −1.14171 | + | 0.734213i | ||||
\(776\) | −1.90346 | − | 5.85825i | −0.0683303 | − | 0.210299i | ||||
\(777\) | 0.868237 | − | 0.109684i | 0.0311478 | − | 0.00393488i | ||||
\(778\) | 32.8749 | + | 13.0161i | 1.17862 | + | 0.466649i | ||||
\(779\) | 27.0400 | + | 10.7059i | 0.968808 | + | 0.383578i | ||||
\(780\) | 3.07308 | + | 1.55420i | 0.110034 | + | 0.0556492i | ||||
\(781\) | 0.784094 | + | 12.4628i | 0.0280571 | + | 0.445955i | ||||
\(782\) | −6.22619 | + | 4.52359i | −0.222648 | + | 0.161763i | ||||
\(783\) | 2.96079 | + | 0.760202i | 0.105810 | + | 0.0271674i | ||||
\(784\) | 11.7942 | + | 11.0755i | 0.421220 | + | 0.395552i | ||||
\(785\) | −0.805864 | − | 8.26014i | −0.0287625 | − | 0.294817i | ||||
\(786\) | −2.80012 | − | 1.53938i | −0.0998769 | − | 0.0549078i | ||||
\(787\) | 18.0125 | + | 2.27551i | 0.642077 | + | 0.0811132i | 0.439628 | − | 0.898180i | \(-0.355110\pi\) |
0.202448 | + | 0.979293i | \(0.435110\pi\) | |||||||
\(788\) | 0.495026 | + | 2.59502i | 0.0176346 | + | 0.0924437i | ||||
\(789\) | 5.26535 | − | 0.665168i | 0.187451 | − | 0.0236806i | ||||
\(790\) | −16.1534 | + | 16.2507i | −0.574711 | + | 0.578176i | ||||
\(791\) | 0.760552 | + | 3.98695i | 0.0270421 | + | 0.141760i | ||||
\(792\) | 0.764889 | − | 1.20527i | 0.0271792 | − | 0.0428275i | ||||
\(793\) | 12.1493 | + | 8.82697i | 0.431434 | + | 0.313455i | ||||
\(794\) | −8.77298 | − | 10.6047i | −0.311341 | − | 0.376347i | ||||
\(795\) | 21.0528 | − | 6.18507i | 0.746665 | − | 0.219362i | ||||
\(796\) | −8.74558 | − | 13.7808i | −0.309979 | − | 0.488449i | ||||
\(797\) | −5.42215 | + | 6.55426i | −0.192062 | + | 0.232164i | −0.857750 | − | 0.514067i | \(-0.828138\pi\) |
0.665688 | + | 0.746230i | \(0.268138\pi\) | |||||||
\(798\) | −7.44080 | − | 15.8125i | −0.263401 | − | 0.559756i | ||||
\(799\) | −16.6801 | − | 12.1188i | −0.590099 | − | 0.428732i | ||||
\(800\) | −4.53685 | − | 2.10167i | −0.160402 | − | 0.0743052i | ||||
\(801\) | −8.85507 | + | 6.43359i | −0.312879 | + | 0.227320i | ||||
\(802\) | −3.26626 | − | 1.79564i | −0.115336 | − | 0.0634063i | ||||
\(803\) | −2.23165 | + | 0.572991i | −0.0787534 | + | 0.0202204i | ||||
\(804\) | 9.26157 | − | 11.1953i | 0.326630 | − | 0.394828i | ||||
\(805\) | −22.0273 | + | 13.1164i | −0.776359 | + | 0.462292i | ||||
\(806\) | 10.8222 | − | 4.28482i | 0.381197 | − | 0.150926i | ||||
\(807\) | −10.6184 | −0.373786 | ||||||||
\(808\) | 0.892830 | − | 0.353496i | 0.0314096 | − | 0.0124360i | ||||
\(809\) | 33.2220 | − | 18.2639i | 1.16802 | − | 0.642125i | 0.224838 | − | 0.974396i | \(-0.427815\pi\) |
0.943184 | + | 0.332271i | \(0.107815\pi\) | |||||||
\(810\) | −1.36519 | + | 1.77095i | −0.0479678 | + | 0.0622249i | ||||
\(811\) | 3.93858 | − | 20.6468i | 0.138302 | − | 0.725006i | −0.843800 | − | 0.536658i | \(-0.819687\pi\) |
0.982102 | − | 0.188348i | \(-0.0603133\pi\) | |||||||
\(812\) | −10.7283 | − | 10.0745i | −0.376488 | − | 0.353546i | ||||
\(813\) | 3.74143 | + | 3.51344i | 0.131218 | + | 0.123222i | ||||
\(814\) | −0.0486213 | + | 0.254882i | −0.00170418 | + | 0.00893361i | ||||
\(815\) | −48.9554 | − | 17.4590i | −1.71483 | − | 0.611562i | ||||
\(816\) | 2.83200 | − | 1.55691i | 0.0991399 | − | 0.0545026i | ||||
\(817\) | 33.2097 | − | 13.1487i | 1.16186 | − | 0.460014i | ||||
\(818\) | 17.5704 | 0.614334 | ||||||||
\(819\) | −6.89404 | + | 2.72954i | −0.240897 | + | 0.0953780i | ||||
\(820\) | −7.06564 | + | 16.4633i | −0.246743 | + | 0.574923i | ||||
\(821\) | −13.3316 | + | 16.1152i | −0.465278 | + | 0.562424i | −0.950002 | − | 0.312243i | \(-0.898920\pi\) |
0.484725 | + | 0.874667i | \(0.338920\pi\) | |||||||
\(822\) | −13.4873 | + | 3.46294i | −0.470422 | + | 0.120784i | ||||
\(823\) | −20.1369 | − | 11.0703i | −0.701927 | − | 0.385888i | 0.0904652 | − | 0.995900i | \(-0.471165\pi\) |
−0.792392 | + | 0.610012i | \(0.791165\pi\) | |||||||
\(824\) | 5.44580 | − | 3.95661i | 0.189713 | − | 0.137835i | ||||
\(825\) | 1.81653 | + | 6.90244i | 0.0632436 | + | 0.240312i | ||||
\(826\) | 48.6066 | + | 35.3147i | 1.69124 | + | 1.22876i | ||||
\(827\) | 16.4917 | + | 35.0466i | 0.573472 | + | 1.21869i | 0.955624 | + | 0.294591i | \(0.0951833\pi\) |
−0.382151 | + | 0.924100i | \(0.624817\pi\) | |||||||
\(828\) | 1.51794 | − | 1.83488i | 0.0527522 | − | 0.0637664i | ||||
\(829\) | −11.9440 | − | 18.8208i | −0.414833 | − | 0.653673i | 0.571087 | − | 0.820890i | \(-0.306522\pi\) |
−0.985920 | + | 0.167217i | \(0.946522\pi\) | |||||||
\(830\) | 13.2053 | + | 4.70943i | 0.458363 | + | 0.163467i | ||||
\(831\) | 16.1919 | + | 19.5727i | 0.561692 | + | 0.678969i | ||||
\(832\) | 1.24596 | + | 0.905241i | 0.0431958 | + | 0.0313836i | ||||
\(833\) | 28.0169 | − | 44.1476i | 0.970729 | − | 1.52962i | ||||
\(834\) | 1.95307 | + | 10.2384i | 0.0676294 | + | 0.354526i | ||||
\(835\) | 10.4437 | + | 20.3455i | 0.361418 | + | 0.704084i | ||||
\(836\) | 5.14069 | − | 0.649420i | 0.177794 | − | 0.0224606i | ||||
\(837\) | 1.41618 | + | 7.42388i | 0.0489504 | + | 0.256607i | ||||
\(838\) | −20.4248 | − | 2.58025i | −0.705563 | − | 0.0891334i | ||||
\(839\) | 32.8465 | + | 18.0575i | 1.13399 | + | 0.623414i | 0.934315 | − | 0.356449i | \(-0.116013\pi\) |
0.199671 | + | 0.979863i | \(0.436013\pi\) | |||||||
\(840\) | 9.86721 | − | 4.30517i | 0.340451 | − | 0.148543i | ||||
\(841\) | −14.3285 | − | 13.4553i | −0.494085 | − | 0.463977i | ||||
\(842\) | −4.33892 | − | 1.11405i | −0.149529 | − | 0.0383925i | ||||
\(843\) | −4.49496 | + | 3.26578i | −0.154815 | + | 0.112479i | ||||
\(844\) | −0.885507 | − | 14.0747i | −0.0304804 | − | 0.484472i | ||||
\(845\) | −23.4614 | + | 3.78822i | −0.807095 | + | 0.130319i | ||||
\(846\) | 5.93174 | + | 2.34854i | 0.203937 | + | 0.0807445i | ||||
\(847\) | −40.1186 | − | 15.8841i | −1.37849 | − | 0.545784i | ||||
\(848\) | 9.73562 | − | 1.22990i | 0.334323 | − | 0.0422348i | ||||
\(849\) | −6.11640 | − | 18.8244i | −0.209914 | − | 0.646050i | ||||
\(850\) | −3.92438 | + | 15.6749i | −0.134605 | + | 0.537646i | ||||
\(851\) | −0.133763 | + | 0.411680i | −0.00458534 | + | 0.0141122i | ||||
\(852\) | 1.63918 | − | 8.59287i | 0.0561573 | − | 0.294387i | ||||
\(853\) | −0.739088 | + | 11.7475i | −0.0253059 | + | 0.402226i | 0.964901 | + | 0.262615i | \(0.0845850\pi\) |
−0.990207 | + | 0.139610i | \(0.955415\pi\) | |||||||
\(854\) | 45.4709 | − | 11.6750i | 1.55598 | − | 0.399509i | ||||
\(855\) | −8.11172 | + | 0.279324i | −0.277415 | + | 0.00955267i | ||||
\(856\) | −1.08343 | + | 1.70721i | −0.0370308 | + | 0.0583511i | ||||
\(857\) | 1.39143 | + | 4.28238i | 0.0475303 | + | 0.146283i | 0.972005 | − | 0.234960i | \(-0.0754960\pi\) |
−0.924475 | + | 0.381243i | \(0.875496\pi\) | |||||||
\(858\) | −0.138043 | − | 2.19413i | −0.00471270 | − | 0.0749063i | ||||
\(859\) | −11.4563 | − | 1.44726i | −0.390883 | − | 0.0493800i | −0.0725643 | − | 0.997364i | \(-0.523118\pi\) |
−0.318319 | + | 0.947984i | \(0.603118\pi\) | |||||||
\(860\) | 7.51552 | + | 20.6799i | 0.256277 | + | 0.705180i | ||||
\(861\) | −16.4239 | − | 34.9026i | −0.559726 | − | 1.18948i | ||||
\(862\) | −17.0533 | + | 36.2400i | −0.580836 | + | 1.23434i | ||||
\(863\) | −11.1219 | + | 6.11431i | −0.378593 | + | 0.208133i | −0.659676 | − | 0.751550i | \(-0.729306\pi\) |
0.281083 | + | 0.959684i | \(0.409306\pi\) | |||||||
\(864\) | −0.728969 | + | 0.684547i | −0.0248000 | + | 0.0232888i | ||||
\(865\) | −25.3646 | − | 2.32078i | −0.862422 | − | 0.0789088i | ||||
\(866\) | −6.87567 | + | 14.6115i | −0.233645 | + | 0.496521i | ||||
\(867\) | 4.17883 | + | 5.05134i | 0.141921 | + | 0.171553i | ||||
\(868\) | 11.2441 | − | 34.6058i | 0.381650 | − | 1.17460i | ||||
\(869\) | 14.1682 | + | 3.63776i | 0.480622 | + | 0.123403i | ||||
\(870\) | −6.26492 | + | 2.73345i | −0.212401 | + | 0.0926727i | ||||
\(871\) | 1.40506 | − | 22.3328i | 0.0476087 | − | 0.756719i | ||||
\(872\) | −0.350363 | − | 0.552084i | −0.0118648 | − | 0.0186959i | ||||
\(873\) | 4.49025 | − | 4.21662i | 0.151972 | − | 0.142711i | ||||
\(874\) | 8.64395 | 0.292386 | ||||||||
\(875\) | −17.7761 | + | 50.8076i | −0.600943 | + | 1.71761i | ||||
\(876\) | 1.61405 | 0.0545336 | ||||||||
\(877\) | −10.7175 | + | 10.0644i | −0.361905 | + | 0.339851i | −0.844074 | − | 0.536227i | \(-0.819849\pi\) |
0.482169 | + | 0.876078i | \(0.339849\pi\) | |||||||
\(878\) | −18.2089 | − | 28.6926i | −0.614521 | − | 0.968330i | ||||
\(879\) | 0.754817 | − | 11.9975i | 0.0254593 | − | 0.404665i | ||||
\(880\) | 0.309939 | + | 3.17689i | 0.0104481 | + | 0.107093i | ||||
\(881\) | −23.0970 | − | 5.93030i | −0.778158 | − | 0.199797i | −0.161336 | − | 0.986900i | \(-0.551580\pi\) |
−0.616822 | + | 0.787103i | \(0.711580\pi\) | |||||||
\(882\) | −4.99967 | + | 15.3874i | −0.168348 | + | 0.518120i | ||||
\(883\) | −8.60633 | − | 10.4033i | −0.289626 | − | 0.350098i | 0.605553 | − | 0.795805i | \(-0.292952\pi\) |
−0.895179 | + | 0.445707i | \(0.852952\pi\) | |||||||
\(884\) | 2.11918 | − | 4.50348i | 0.0712757 | − | 0.151468i | ||||
\(885\) | 23.9757 | − | 14.2766i | 0.805934 | − | 0.479903i | ||||
\(886\) | 23.4218 | − | 21.9945i | 0.786870 | − | 0.738920i | ||||
\(887\) | 7.87579 | − | 4.32975i | 0.264443 | − | 0.145379i | −0.344017 | − | 0.938964i | \(-0.611788\pi\) |
0.608460 | + | 0.793585i | \(0.291788\pi\) | |||||||
\(888\) | 0.0773947 | − | 0.164472i | 0.00259719 | − | 0.00551932i | ||||
\(889\) | −37.9253 | − | 80.5954i | −1.27197 | − | 2.70308i | ||||
\(890\) | 6.75760 | − | 23.5234i | 0.226515 | − | 0.788507i | ||||
\(891\) | 1.41624 | + | 0.178912i | 0.0474457 | + | 0.00599379i | ||||
\(892\) | 0.369897 | + | 5.87934i | 0.0123851 | + | 0.196855i | ||||
\(893\) | 7.15601 | + | 22.0239i | 0.239467 | + | 0.737003i | ||||
\(894\) | 2.43569 | − | 3.83803i | 0.0814615 | − | 0.128363i | ||||
\(895\) | −8.48759 | − | 23.3547i | −0.283709 | − | 0.780662i | ||||
\(896\) | 4.66323 | − | 1.19731i | 0.155788 | − | 0.0399994i | ||||
\(897\) | 0.230286 | − | 3.66029i | 0.00768901 | − | 0.122213i | ||||
\(898\) | −4.94562 | + | 25.9258i | −0.165037 | + | 0.865156i | ||||
\(899\) | −7.13913 | + | 21.9720i | −0.238103 | + | 0.732807i | ||||
\(900\) | −0.0300507 | − | 4.99991i | −0.00100169 | − | 0.166664i | ||||
\(901\) | −9.79990 | − | 30.1610i | −0.326482 | − | 1.00481i | ||||
\(902\) | 11.3469 | − | 1.43345i | 0.377812 | − | 0.0477287i | ||||
\(903\) | −44.0484 | − | 17.4400i | −1.46584 | − | 0.580367i | ||||
\(904\) | 0.783847 | + | 0.310347i | 0.0260704 | + | 0.0103220i | ||||
\(905\) | 7.59353 | − | 48.8942i | 0.252418 | − | 1.62530i | ||||
\(906\) | −1.20886 | − | 19.2143i | −0.0401617 | − | 0.638353i | ||||
\(907\) | 42.2938 | − | 30.7282i | 1.40434 | − | 1.02031i | 0.410227 | − | 0.911983i | \(-0.365449\pi\) |
0.994115 | − | 0.108331i | \(-0.0345506\pi\) | |||||||
\(908\) | −25.0539 | − | 6.43274i | −0.831442 | − | 0.213478i | ||||
\(909\) | 0.700001 | + | 0.657345i | 0.0232176 | + | 0.0218028i | ||||
\(910\) | 8.39690 | − | 14.2963i | 0.278355 | − | 0.473917i | ||||
\(911\) | 24.2572 | + | 13.3355i | 0.803676 | + | 0.441824i | 0.829955 | − | 0.557830i | \(-0.188366\pi\) |
−0.0262795 | + | 0.999655i | \(0.508366\pi\) | |||||||
\(912\) | −3.60120 | − | 0.454937i | −0.119248 | − | 0.0150645i | ||||
\(913\) | −1.67711 | − | 8.79172i | −0.0555043 | − | 0.290964i | ||||
\(914\) | 1.70229 | − | 0.215050i | 0.0563069 | − | 0.00711322i | ||||
\(915\) | 3.34614 | − | 21.5455i | 0.110620 | − | 0.712273i | ||||
\(916\) | 1.44953 | + | 7.59870i | 0.0478938 | + | 0.251068i | ||||
\(917\) | −8.24317 | + | 12.9892i | −0.272213 | + | 0.428940i | ||||
\(918\) | 2.61454 | + | 1.89957i | 0.0862926 | + | 0.0626952i | ||||
\(919\) | 28.6328 | + | 34.6112i | 0.944510 | + | 1.14172i | 0.989760 | + | 0.142741i | \(0.0455917\pi\) |
−0.0452497 | + | 0.998976i | \(0.514408\pi\) | |||||||
\(920\) | −0.151265 | + | 5.32276i | −0.00498705 | + | 0.175486i | ||||
\(921\) | 11.9452 | + | 18.8226i | 0.393606 | + | 0.620224i | ||||
\(922\) | −20.7429 | + | 25.0739i | −0.683131 | + | 0.825763i | ||||
\(923\) | −5.73627 | − | 12.1902i | −0.188812 | − | 0.401245i | ||||
\(924\) | −5.56009 | − | 4.03964i | −0.182913 | − | 0.132894i | ||||
\(925\) | 0.339646 | + | 0.843010i | 0.0111675 | + | 0.0277180i | ||||
\(926\) | 25.8619 | − | 18.7897i | 0.849873 | − | 0.617469i | ||||
\(927\) | 5.89875 | + | 3.24287i | 0.193741 | + | 0.106510i | ||||
\(928\) | −2.96079 | + | 0.760202i | −0.0971927 | + | 0.0249548i | ||||
\(929\) | 31.1533 | − | 37.6578i | 1.02211 | − | 1.23551i | 0.0505456 | − | 0.998722i | \(-0.483904\pi\) |
0.971560 | − | 0.236792i | \(-0.0760960\pi\) | |||||||
\(930\) | −12.7101 | − | 11.1378i | −0.416782 | − | 0.365222i | ||||
\(931\) | −54.6037 | + | 21.6191i | −1.78956 | + | 0.708539i | ||||
\(932\) | 17.5093 | 0.573538 | ||||||||
\(933\) | 32.6647 | − | 12.9329i | 1.06939 | − | 0.423403i | ||||
\(934\) | 6.77392 | − | 3.72400i | 0.221650 | − | 0.121853i | ||||
\(935\) | 9.89736 | − | 2.90773i | 0.323678 | − | 0.0950929i | ||||
\(936\) | −0.288584 | + | 1.51281i | −0.00943265 | + | 0.0494477i | ||||
\(937\) | 4.34955 | + | 4.08450i | 0.142094 | + | 0.133435i | 0.752335 | − | 0.658781i | \(-0.228928\pi\) |
−0.610241 | + | 0.792216i | \(0.708928\pi\) | |||||||
\(938\) | −50.9935 | − | 47.8861i | −1.66500 | − | 1.56354i | ||||
\(939\) | −2.60713 | + | 13.6671i | −0.0850806 | + | 0.446008i | ||||
\(940\) | −13.6871 | + | 4.02111i | −0.446424 | + | 0.131154i | ||||
\(941\) | −0.666546 | + | 0.366437i | −0.0217288 | + | 0.0119455i | −0.492581 | − | 0.870267i | \(-0.663946\pi\) |
0.470852 | + | 0.882212i | \(0.343946\pi\) | |||||||
\(942\) | 3.45094 | − | 1.36633i | 0.112438 | − | 0.0445173i | ||||
\(943\) | 19.0796 | 0.621318 | ||||||||
\(944\) | 11.6029 | − | 4.59391i | 0.377642 | − | 0.149519i | ||||
\(945\) | 8.09669 | + | 7.09506i | 0.263385 | + | 0.230802i | ||||
\(946\) | 8.95374 | − | 10.8232i | 0.291111 | − | 0.351893i | ||||
\(947\) | 43.7080 | − | 11.2223i | 1.42032 | − | 0.364676i | 0.541046 | − | 0.840993i | \(-0.318028\pi\) |
0.879274 | + | 0.476317i | \(0.158028\pi\) | |||||||
\(948\) | −8.97963 | − | 4.93659i | −0.291645 | − | 0.160333i | ||||
\(949\) | 2.01103 | − | 1.46110i | 0.0652809 | − | 0.0474293i | ||||
\(950\) | 13.9143 | − | 11.6525i | 0.451441 | − | 0.378057i | ||||
\(951\) | −6.61260 | − | 4.80434i | −0.214428 | − | 0.155791i | ||||
\(952\) | −6.62478 | − | 14.0784i | −0.214710 | − | 0.456283i | ||||
\(953\) | 1.70975 | − | 2.06673i | 0.0553841 | − | 0.0669479i | −0.742094 | − | 0.670296i | \(-0.766167\pi\) |
0.797478 | + | 0.603348i | \(0.206167\pi\) | |||||||
\(954\) | 5.25807 | + | 8.28539i | 0.170236 | + | 0.268249i | ||||
\(955\) | 0.134534 | − | 4.73402i | 0.00435341 | − | 0.153189i | ||||
\(956\) | −5.35202 | − | 6.46948i | −0.173097 | − | 0.209238i | ||||
\(957\) | 3.53023 | + | 2.56486i | 0.114116 | + | 0.0829101i | ||||
\(958\) | −4.49405 | + | 7.08149i | −0.145196 | + | 0.228793i | ||||
\(959\) | 12.5621 | + | 65.8529i | 0.405652 | + | 2.12650i | ||||
\(960\) | 0.343160 | − | 2.20958i | 0.0110754 | − | 0.0713139i | ||||
\(961\) | −25.9136 | + | 3.27365i | −0.835922 | + | 0.105602i | ||||
\(962\) | −0.0524564 | − | 0.274986i | −0.00169126 | − | 0.00886590i | ||||
\(963\) | −2.00603 | − | 0.253420i | −0.0646433 | − | 0.00816635i | ||||
\(964\) | 16.1730 | + | 8.89116i | 0.520896 | + | 0.286365i | ||||
\(965\) | −3.93496 | + | 6.69952i | −0.126671 | + | 0.215665i | ||||
\(966\) | −8.35768 | − | 7.84839i | −0.268904 | − | 0.252518i | ||||
\(967\) | 43.3215 | + | 11.1231i | 1.39313 | + | 0.357694i | 0.869365 | − | 0.494171i | \(-0.164528\pi\) |
0.523762 | + | 0.851865i | \(0.324528\pi\) | |||||||
\(968\) | −7.25062 | + | 5.26789i | −0.233044 | + | 0.169316i | ||||
\(969\) | 0.736574 | + | 11.7075i | 0.0236622 | + | 0.376099i | ||||
\(970\) | −2.11377 | + | 13.6104i | −0.0678691 | + | 0.437004i | ||||
\(971\) | −4.28996 | − | 1.69852i | −0.137671 | − | 0.0545080i | 0.298279 | − | 0.954479i | \(-0.403588\pi\) |
−0.435950 | + | 0.899971i | \(0.643588\pi\) | |||||||
\(972\) | −0.929776 | − | 0.368125i | −0.0298226 | − | 0.0118076i | ||||
\(973\) | 49.7856 | − | 6.28938i | 1.59605 | − | 0.201628i | ||||
\(974\) | −2.17704 | − | 6.70023i | −0.0697567 | − | 0.214689i | ||||
\(975\) | −4.56357 | − | 6.20247i | −0.146151 | − | 0.198638i | ||||
\(976\) | 3.01321 | − | 9.27371i | 0.0964506 | − | 0.296844i | ||||
\(977\) | 9.91485 | − | 51.9755i | 0.317204 | − | 1.66284i | −0.364491 | − | 0.931207i | \(-0.618757\pi\) |
0.681695 | − | 0.731636i | \(-0.261243\pi\) | |||||||
\(978\) | 1.45951 | − | 23.1982i | 0.0466700 | − | 0.741798i | ||||
\(979\) | −15.1337 | + | 3.88568i | −0.483676 | + | 0.124187i | ||||
\(980\) | −12.3571 | − | 34.0021i | −0.394732 | − | 1.08616i | ||||
\(981\) | 0.350363 | − | 0.552084i | 0.0111862 | − | 0.0176267i | ||||
\(982\) | 9.53549 | + | 29.3472i | 0.304290 | + | 0.936507i | ||||
\(983\) | 0.0706548 | + | 1.12303i | 0.00225354 | + | 0.0358189i | 0.998993 | − | 0.0448709i | \(-0.0142877\pi\) |
−0.996739 | + | 0.0806899i | \(0.974288\pi\) | |||||||
\(984\) | −7.94885 | − | 1.00417i | −0.253400 | − | 0.0320119i | ||||
\(985\) | 1.63102 | − | 5.67764i | 0.0519687 | − | 0.180905i | ||||
\(986\) | 4.20622 | + | 8.93868i | 0.133953 | + | 0.284666i | ||||
\(987\) | 13.0779 | − | 27.7919i | 0.416274 | − | 0.884627i | ||||
\(988\) | −4.89877 | + | 2.69312i | −0.155851 | + | 0.0856795i | ||||
\(989\) | 17.0820 | − | 16.0410i | 0.543175 | − | 0.510075i | ||||
\(990\) | −2.74257 | + | 1.63310i | −0.0871646 | + | 0.0519032i | ||||
\(991\) | 15.8990 | − | 33.7871i | 0.505049 | − | 1.07328i | −0.475986 | − | 0.879453i | \(-0.657909\pi\) |
0.981035 | − | 0.193831i | \(-0.0620913\pi\) | |||||||
\(992\) | −4.81749 | − | 5.82334i | −0.152955 | − | 0.184891i | ||||
\(993\) | 3.51738 | − | 10.8254i | 0.111621 | − | 0.343533i | ||||
\(994\) | −40.7931 | − | 10.4739i | −1.29388 | − | 0.332211i | ||||
\(995\) | 3.54378 | + | 36.3239i | 0.112345 | + | 1.15154i | ||||
\(996\) | −0.393691 | + | 6.25754i | −0.0124746 | + | 0.198278i | ||||
\(997\) | 1.45985 | + | 2.30036i | 0.0462341 | + | 0.0728532i | 0.866659 | − | 0.498901i | \(-0.166263\pi\) |
−0.820425 | + | 0.571755i | \(0.806263\pi\) | |||||||
\(998\) | 5.57584 | − | 5.23606i | 0.176500 | − | 0.165745i | ||||
\(999\) | 0.181772 | 0.00575100 |
(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 | 750.2.m.d.511.4 | yes | 140 | |
125.91 | even | 25 | inner | 750.2.m.d.91.4 | ✓ | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
750.2.m.d.91.4 | ✓ | 140 | 125.91 | even | 25 | inner | |
750.2.m.d.511.4 | yes | 140 | 1.1 | even | 1 | trivial |