Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(27,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([7, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.r (of order \(28\), degree \(12\), 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: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(264\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 27.9 | ||
Character | \(\chi\) | \(=\) | 430.27 |
Dual form | 430.2.r.a.223.9 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.846724 | − | 0.532032i | −0.598724 | − | 0.376203i | ||||
\(3\) | 1.93498 | − | 1.21583i | 1.11716 | − | 0.701959i | 0.158741 | − | 0.987320i | \(-0.449256\pi\) |
0.958420 | + | 0.285361i | \(0.0921136\pi\) | |||||||
\(4\) | 0.433884 | + | 0.900969i | 0.216942 | + | 0.450484i | ||||
\(5\) | 0.121846 | − | 2.23275i | 0.0544910 | − | 0.998514i | ||||
\(6\) | −2.28525 | −0.932951 | ||||||||
\(7\) | 1.40881 | − | 1.40881i | 0.532482 | − | 0.532482i | −0.388828 | − | 0.921310i | \(-0.627120\pi\) |
0.921310 | + | 0.388828i | \(0.127120\pi\) | |||||||
\(8\) | 0.111964 | − | 0.993712i | 0.0395854 | − | 0.351330i | ||||
\(9\) | 0.964257 | − | 2.00230i | 0.321419 | − | 0.667434i | ||||
\(10\) | −1.29106 | + | 1.82569i | −0.408270 | + | 0.577335i | ||||
\(11\) | 4.74743 | + | 2.28624i | 1.43140 | + | 0.689328i | 0.979258 | − | 0.202617i | \(-0.0649446\pi\) |
0.452145 | + | 0.891944i | \(0.350659\pi\) | |||||||
\(12\) | 1.93498 | + | 1.21583i | 0.558581 | + | 0.350979i | ||||
\(13\) | −1.11812 | − | 0.125982i | −0.310110 | − | 0.0349410i | −0.0444621 | − | 0.999011i | \(-0.514157\pi\) |
−0.265648 | + | 0.964070i | \(0.585586\pi\) | |||||||
\(14\) | −1.94241 | + | 0.443343i | −0.519131 | + | 0.118488i | ||||
\(15\) | −2.47887 | − | 4.46846i | −0.640041 | − | 1.15375i | ||||
\(16\) | −0.623490 | + | 0.781831i | −0.155872 | + | 0.195458i | ||||
\(17\) | −7.62228 | + | 0.858824i | −1.84867 | + | 0.208295i | −0.965438 | − | 0.260634i | \(-0.916069\pi\) |
−0.883236 | + | 0.468929i | \(0.844640\pi\) | |||||||
\(18\) | −1.88175 | + | 1.18238i | −0.443532 | + | 0.278690i | ||||
\(19\) | 5.88519 | − | 2.83416i | 1.35015 | − | 0.650200i | 0.387736 | − | 0.921770i | \(-0.373257\pi\) |
0.962419 | + | 0.271570i | \(0.0875429\pi\) | |||||||
\(20\) | 2.06450 | − | 0.858973i | 0.461637 | − | 0.192072i | ||||
\(21\) | 1.01315 | − | 4.43890i | 0.221088 | − | 0.968648i | ||||
\(22\) | −2.80341 | − | 4.46160i | −0.597689 | − | 0.951216i | ||||
\(23\) | −3.03590 | + | 1.06231i | −0.633028 | + | 0.221506i | −0.627670 | − | 0.778479i | \(-0.715991\pi\) |
−0.00535831 | + | 0.999986i | \(0.501706\pi\) | |||||||
\(24\) | −0.991535 | − | 2.05894i | −0.202396 | − | 0.420280i | ||||
\(25\) | −4.97031 | − | 0.544101i | −0.994061 | − | 0.108820i | ||||
\(26\) | 0.879712 | + | 0.701547i | 0.172526 | + | 0.137585i | ||||
\(27\) | 0.198966 | + | 1.76587i | 0.0382910 | + | 0.339842i | ||||
\(28\) | 1.88056 | + | 0.658036i | 0.355392 | + | 0.124357i | ||||
\(29\) | 1.95286 | + | 8.55602i | 0.362636 | + | 1.58881i | 0.746476 | + | 0.665413i | \(0.231744\pi\) |
−0.383839 | + | 0.923400i | \(0.625398\pi\) | |||||||
\(30\) | −0.278448 | + | 5.10239i | −0.0508375 | + | 0.931565i | ||||
\(31\) | −1.53864 | − | 6.74124i | −0.276349 | − | 1.21076i | −0.902372 | − | 0.430958i | \(-0.858176\pi\) |
0.626023 | − | 0.779804i | \(-0.284682\pi\) | |||||||
\(32\) | 0.943883 | − | 0.330279i | 0.166857 | − | 0.0583856i | ||||
\(33\) | 11.9659 | − | 1.34823i | 2.08299 | − | 0.234696i | ||||
\(34\) | 6.91089 | + | 3.32811i | 1.18521 | + | 0.570766i | ||||
\(35\) | −2.97387 | − | 3.31718i | −0.502675 | − | 0.560706i | ||||
\(36\) | 2.22239 | 0.370398 | ||||||||
\(37\) | 0.556342 | − | 0.556342i | 0.0914621 | − | 0.0914621i | −0.659895 | − | 0.751357i | \(-0.729399\pi\) |
0.751357 | + | 0.659895i | \(0.229399\pi\) | |||||||
\(38\) | −6.49099 | − | 0.731359i | −1.05298 | − | 0.118642i | ||||
\(39\) | −2.31671 | + | 1.11567i | −0.370970 | + | 0.178650i | ||||
\(40\) | −2.20506 | − | 0.371068i | −0.348651 | − | 0.0586710i | ||||
\(41\) | −0.707767 | − | 3.10093i | −0.110535 | − | 0.484284i | −0.999646 | − | 0.0265936i | \(-0.991534\pi\) |
0.889112 | − | 0.457690i | \(-0.151323\pi\) | |||||||
\(42\) | −3.21950 | + | 3.21950i | −0.496779 | + | 0.496779i | ||||
\(43\) | 5.09750 | + | 4.12498i | 0.777362 | + | 0.629054i | ||||
\(44\) | 5.26925i | 0.794369i | ||||||||
\(45\) | −4.35314 | − | 2.39691i | −0.648927 | − | 0.357311i | ||||
\(46\) | 3.13575 | + | 0.715714i | 0.462341 | + | 0.105526i | ||||
\(47\) | −9.25775 | − | 3.23943i | −1.35038 | − | 0.472519i | −0.444397 | − | 0.895830i | \(-0.646582\pi\) |
−0.905985 | + | 0.423311i | \(0.860868\pi\) | |||||||
\(48\) | −0.255867 | + | 2.27088i | −0.0369313 | + | 0.327774i | ||||
\(49\) | 3.03048i | 0.432926i | ||||||||
\(50\) | 3.91900 | + | 3.10507i | 0.554230 | + | 0.439123i | ||||
\(51\) | −13.7048 | + | 10.9292i | −1.91905 | + | 1.53039i | ||||
\(52\) | −0.371628 | − | 1.06205i | −0.0515355 | − | 0.147280i | ||||
\(53\) | −0.311557 | − | 2.76515i | −0.0427957 | − | 0.379822i | −0.996794 | − | 0.0800104i | \(-0.974505\pi\) |
0.953998 | − | 0.299812i | \(-0.0969239\pi\) | |||||||
\(54\) | 0.771031 | − | 1.60106i | 0.104924 | − | 0.217877i | ||||
\(55\) | 5.68305 | − | 10.3212i | 0.766302 | − | 1.39171i | ||||
\(56\) | −1.24222 | − | 1.55769i | −0.165998 | − | 0.208156i | ||||
\(57\) | 7.94187 | − | 12.6394i | 1.05193 | − | 1.67413i | ||||
\(58\) | 2.89855 | − | 8.28357i | 0.380598 | − | 1.08769i | ||||
\(59\) | 0.898833 | + | 0.716795i | 0.117018 | + | 0.0933188i | 0.680250 | − | 0.732980i | \(-0.261871\pi\) |
−0.563232 | + | 0.826299i | \(0.690442\pi\) | |||||||
\(60\) | 2.95040 | − | 4.17217i | 0.380896 | − | 0.538625i | ||||
\(61\) | −1.02250 | − | 0.233380i | −0.130918 | − | 0.0298812i | 0.156560 | − | 0.987668i | \(-0.449960\pi\) |
−0.287478 | + | 0.957787i | \(0.592817\pi\) | |||||||
\(62\) | −2.28375 | + | 6.52658i | −0.290036 | + | 0.828877i | ||||
\(63\) | −1.46241 | − | 4.17933i | −0.184246 | − | 0.526546i | ||||
\(64\) | −0.974928 | − | 0.222521i | −0.121866 | − | 0.0278151i | ||||
\(65\) | −0.417523 | + | 2.48112i | −0.0517874 | + | 0.307746i | ||||
\(66\) | −10.8491 | − | 5.22464i | −1.33543 | − | 0.643109i | ||||
\(67\) | 5.75922 | + | 2.01524i | 0.703601 | + | 0.246201i | 0.658281 | − | 0.752772i | \(-0.271284\pi\) |
0.0453194 | + | 0.998973i | \(0.485569\pi\) | |||||||
\(68\) | −4.08096 | − | 6.49480i | −0.494889 | − | 0.787611i | ||||
\(69\) | −4.58282 | + | 5.74667i | −0.551707 | + | 0.691818i | ||||
\(70\) | 0.753197 | + | 4.39093i | 0.0900243 | + | 0.524817i | ||||
\(71\) | −0.908579 | − | 1.88668i | −0.107828 | − | 0.223908i | 0.840072 | − | 0.542475i | \(-0.182513\pi\) |
−0.947900 | + | 0.318567i | \(0.896798\pi\) | |||||||
\(72\) | −1.88175 | − | 1.18238i | −0.221766 | − | 0.139345i | ||||
\(73\) | 1.59805 | − | 14.1831i | 0.187037 | − | 1.66000i | −0.452889 | − | 0.891567i | \(-0.649607\pi\) |
0.639927 | − | 0.768436i | \(-0.278965\pi\) | |||||||
\(74\) | −0.767060 | + | 0.175077i | −0.0891690 | + | 0.0203522i | ||||
\(75\) | −10.2790 | + | 4.99022i | −1.18691 | + | 0.576221i | ||||
\(76\) | 5.10697 | + | 4.07268i | 0.585810 | + | 0.467168i | ||||
\(77\) | 9.90913 | − | 3.46736i | 1.12925 | − | 0.395142i | ||||
\(78\) | 2.55518 | + | 0.287900i | 0.289318 | + | 0.0325983i | ||||
\(79\) | 11.8767i | 1.33623i | 0.744059 | + | 0.668114i | \(0.232898\pi\) | ||||
−0.744059 | + | 0.668114i | \(0.767102\pi\) | |||||||
\(80\) | 1.66966 | + | 1.48736i | 0.186674 | + | 0.166292i | ||||
\(81\) | 6.68890 | + | 8.38761i | 0.743211 | + | 0.931957i | ||||
\(82\) | −1.05051 | + | 3.00219i | −0.116010 | + | 0.331536i | ||||
\(83\) | 3.70249 | + | 5.89247i | 0.406401 | + | 0.646783i | 0.985735 | − | 0.168307i | \(-0.0538301\pi\) |
−0.579334 | + | 0.815090i | \(0.696687\pi\) | |||||||
\(84\) | 4.43890 | − | 1.01315i | 0.484324 | − | 0.110544i | ||||
\(85\) | 0.988795 | + | 17.1233i | 0.107250 | + | 1.85728i | ||||
\(86\) | −2.12156 | − | 6.20476i | −0.228773 | − | 0.669076i | ||||
\(87\) | 14.1814 | + | 14.1814i | 1.52040 | + | 1.52040i | ||||
\(88\) | 2.80341 | − | 4.46160i | 0.298844 | − | 0.475608i | ||||
\(89\) | −2.39077 | + | 10.4746i | −0.253421 | + | 1.11031i | 0.674718 | + | 0.738076i | \(0.264265\pi\) |
−0.928139 | + | 0.372234i | \(0.878592\pi\) | |||||||
\(90\) | 2.41067 | + | 4.34553i | 0.254107 | + | 0.458059i | ||||
\(91\) | −1.75271 | + | 1.39774i | −0.183734 | + | 0.146523i | ||||
\(92\) | −2.27433 | − | 2.27433i | −0.237115 | − | 0.237115i | ||||
\(93\) | −11.1734 | − | 11.1734i | −1.15863 | − | 1.15863i | ||||
\(94\) | 6.11528 | + | 7.66832i | 0.630743 | + | 0.790927i | ||||
\(95\) | −5.61087 | − | 13.4855i | −0.575663 | − | 1.38358i | ||||
\(96\) | 1.42483 | − | 1.78668i | 0.145421 | − | 0.182353i | ||||
\(97\) | 3.83971 | + | 10.9733i | 0.389864 | + | 1.11417i | 0.956886 | + | 0.290464i | \(0.0938097\pi\) |
−0.567022 | + | 0.823703i | \(0.691905\pi\) | |||||||
\(98\) | 1.61231 | − | 2.56598i | 0.162868 | − | 0.259204i | ||||
\(99\) | 9.15548 | − | 7.30125i | 0.920161 | − | 0.733804i | ||||
\(100\) | −1.66632 | − | 4.71417i | −0.166632 | − | 0.471417i | ||||
\(101\) | 3.96123 | − | 1.90763i | 0.394157 | − | 0.189816i | −0.226298 | − | 0.974058i | \(-0.572662\pi\) |
0.620455 | + | 0.784242i | \(0.286948\pi\) | |||||||
\(102\) | 17.4188 | − | 1.96263i | 1.72472 | − | 0.194330i | ||||
\(103\) | 1.46055 | + | 12.9628i | 0.143913 | + | 1.27726i | 0.833281 | + | 0.552849i | \(0.186459\pi\) |
−0.689369 | + | 0.724410i | \(0.742112\pi\) | |||||||
\(104\) | −0.250379 | + | 1.09698i | −0.0245517 | + | 0.107568i | ||||
\(105\) | −9.78750 | − | 2.80297i | −0.955162 | − | 0.273542i | ||||
\(106\) | −1.20734 | + | 2.50708i | −0.117268 | + | 0.243509i | ||||
\(107\) | 2.34214 | − | 1.47166i | 0.226423 | − | 0.142271i | −0.414043 | − | 0.910257i | \(-0.635884\pi\) |
0.640467 | + | 0.767986i | \(0.278741\pi\) | |||||||
\(108\) | −1.50467 | + | 0.945445i | −0.144787 | + | 0.0909755i | ||||
\(109\) | 6.12213 | − | 12.7127i | 0.586394 | − | 1.21766i | −0.370935 | − | 0.928659i | \(-0.620963\pi\) |
0.957329 | − | 0.289001i | \(-0.0933231\pi\) | |||||||
\(110\) | −10.3032 | + | 5.71567i | −0.982372 | + | 0.544968i | ||||
\(111\) | 0.400094 | − | 1.75293i | 0.0379753 | − | 0.166381i | ||||
\(112\) | 0.223074 | + | 1.97984i | 0.0210785 | + | 0.187077i | ||||
\(113\) | −12.1460 | + | 1.36852i | −1.14260 | + | 0.128740i | −0.662910 | − | 0.748699i | \(-0.730679\pi\) |
−0.479689 | + | 0.877439i | \(0.659250\pi\) | |||||||
\(114\) | −13.4492 | + | 6.47677i | −1.25963 | + | 0.606605i | ||||
\(115\) | 2.00195 | + | 6.90783i | 0.186683 | + | 0.644158i | ||||
\(116\) | −6.86139 | + | 5.47178i | −0.637064 | + | 0.508042i | ||||
\(117\) | −1.33041 | + | 2.11733i | −0.122996 | + | 0.195747i | ||||
\(118\) | −0.379705 | − | 1.08514i | −0.0349547 | − | 0.0998948i | ||||
\(119\) | −9.52845 | + | 11.9483i | −0.873472 | + | 1.09530i | ||||
\(120\) | −4.71791 | + | 1.96297i | −0.430684 | + | 0.179194i | ||||
\(121\) | 10.4528 | + | 13.1074i | 0.950253 | + | 1.19158i | ||||
\(122\) | 0.741613 | + | 0.741613i | 0.0671424 | + | 0.0671424i | ||||
\(123\) | −5.13971 | − | 5.13971i | −0.463432 | − | 0.463432i | ||||
\(124\) | 5.40606 | − | 4.31119i | 0.485478 | − | 0.387156i | ||||
\(125\) | −1.82045 | + | 11.0311i | −0.162826 | + | 0.986655i | ||||
\(126\) | −0.985279 | + | 4.31679i | −0.0877756 | + | 0.384570i | ||||
\(127\) | −6.66311 | + | 10.6043i | −0.591255 | + | 0.940977i | 0.408349 | + | 0.912826i | \(0.366105\pi\) |
−0.999604 | + | 0.0281511i | \(0.991038\pi\) | |||||||
\(128\) | 0.707107 | + | 0.707107i | 0.0625000 | + | 0.0625000i | ||||
\(129\) | 14.8788 | + | 1.78407i | 1.31001 | + | 0.157078i | ||||
\(130\) | 1.67356 | − | 1.87869i | 0.146781 | − | 0.164772i | ||||
\(131\) | 2.27195 | − | 0.518559i | 0.198502 | − | 0.0453067i | −0.122114 | − | 0.992516i | \(-0.538967\pi\) |
0.320616 | + | 0.947209i | \(0.396110\pi\) | |||||||
\(132\) | 6.40650 | + | 10.1959i | 0.557614 | + | 0.887438i | ||||
\(133\) | 4.29834 | − | 12.2839i | 0.372713 | − | 1.06515i | ||||
\(134\) | −3.80430 | − | 4.77044i | −0.328641 | − | 0.412103i | ||||
\(135\) | 3.96699 | − | 0.229077i | 0.341424 | − | 0.0197158i | ||||
\(136\) | 7.67051i | 0.657741i | ||||||||
\(137\) | 15.4474 | + | 1.74051i | 1.31976 | + | 0.148701i | 0.743595 | − | 0.668631i | \(-0.233119\pi\) |
0.576167 | + | 0.817332i | \(0.304548\pi\) | |||||||
\(138\) | 6.93780 | − | 2.42764i | 0.590585 | − | 0.206654i | ||||
\(139\) | −2.12796 | − | 1.69699i | −0.180491 | − | 0.143937i | 0.529077 | − | 0.848574i | \(-0.322538\pi\) |
−0.709568 | + | 0.704637i | \(0.751110\pi\) | |||||||
\(140\) | 1.69837 | − | 4.11863i | 0.143538 | − | 0.348088i | ||||
\(141\) | −21.8522 | + | 4.98761i | −1.84028 | + | 0.420033i | ||||
\(142\) | −0.234460 | + | 2.08089i | −0.0196755 | + | 0.174625i | ||||
\(143\) | −5.02016 | − | 3.15438i | −0.419807 | − | 0.263782i | ||||
\(144\) | 0.964257 | + | 2.00230i | 0.0803548 | + | 0.166858i | ||||
\(145\) | 19.3414 | − | 3.31772i | 1.60621 | − | 0.275521i | ||||
\(146\) | −8.89895 | + | 11.1589i | −0.736483 | + | 0.923520i | ||||
\(147\) | 3.68455 | + | 5.86393i | 0.303896 | + | 0.483648i | ||||
\(148\) | 0.742635 | + | 0.259859i | 0.0610442 | + | 0.0213603i | ||||
\(149\) | 7.63032 | + | 3.67457i | 0.625100 | + | 0.301032i | 0.719490 | − | 0.694503i | \(-0.244376\pi\) |
−0.0943895 | + | 0.995535i | \(0.530090\pi\) | |||||||
\(150\) | 11.3584 | + | 1.24341i | 0.927411 | + | 0.101524i | ||||
\(151\) | −2.54700 | − | 0.581335i | −0.207272 | − | 0.0473084i | 0.117624 | − | 0.993058i | \(-0.462472\pi\) |
−0.324896 | + | 0.945750i | \(0.605329\pi\) | |||||||
\(152\) | −2.15740 | − | 6.16551i | −0.174989 | − | 0.500089i | ||||
\(153\) | −5.63021 | + | 16.0902i | −0.455176 | + | 1.30082i | ||||
\(154\) | −10.2350 | − | 2.33608i | −0.824764 | − | 0.188247i | ||||
\(155\) | −15.2390 | + | 2.61401i | −1.22402 | + | 0.209962i | ||||
\(156\) | −2.01036 | − | 1.60321i | −0.160958 | − | 0.128360i | ||||
\(157\) | 6.26216 | − | 17.8962i | 0.499775 | − | 1.42827i | −0.367303 | − | 0.930101i | \(-0.619719\pi\) |
0.867078 | − | 0.498173i | \(-0.165995\pi\) | |||||||
\(158\) | 6.31876 | − | 10.0563i | 0.502694 | − | 0.800032i | ||||
\(159\) | −3.96480 | − | 4.97170i | −0.314429 | − | 0.394282i | ||||
\(160\) | −0.622421 | − | 2.14769i | −0.0492067 | − | 0.169790i | ||||
\(161\) | −2.78042 | + | 5.77361i | −0.219128 | + | 0.455024i | ||||
\(162\) | −1.20117 | − | 10.6607i | −0.0943730 | − | 0.837584i | ||||
\(163\) | 6.32397 | + | 18.0729i | 0.495332 | + | 1.41558i | 0.872127 | + | 0.489280i | \(0.162740\pi\) |
−0.376795 | + | 0.926297i | \(0.622974\pi\) | |||||||
\(164\) | 2.48675 | − | 1.98312i | 0.194183 | − | 0.154856i | ||||
\(165\) | −1.55226 | − | 26.8810i | −0.120843 | − | 2.09268i | ||||
\(166\) | − | 6.95914i | − | 0.540134i | ||||||
\(167\) | 1.19830 | − | 10.6352i | 0.0927270 | − | 0.822975i | −0.858148 | − | 0.513402i | \(-0.828385\pi\) |
0.950876 | − | 0.309574i | \(-0.100186\pi\) | |||||||
\(168\) | −4.29756 | − | 1.50378i | −0.331564 | − | 0.116019i | ||||
\(169\) | −11.4397 | − | 2.61105i | −0.879980 | − | 0.200850i | ||||
\(170\) | 8.27288 | − | 15.0247i | 0.634501 | − | 1.15235i | ||||
\(171\) | − | 14.5168i | − | 1.11013i | ||||||
\(172\) | −1.50476 | + | 6.38245i | −0.114737 | + | 0.486657i | ||||
\(173\) | 0.325830 | − | 0.325830i | 0.0247724 | − | 0.0247724i | −0.694612 | − | 0.719385i | \(-0.744424\pi\) |
0.719385 | + | 0.694612i | \(0.244424\pi\) | |||||||
\(174\) | −4.46277 | − | 19.5527i | −0.338322 | − | 1.48228i | ||||
\(175\) | −7.76878 | + | 6.23570i | −0.587264 | + | 0.471375i | ||||
\(176\) | −4.74743 | + | 2.28624i | −0.357851 | + | 0.172332i | ||||
\(177\) | 2.61072 | + | 0.294158i | 0.196234 | + | 0.0221103i | ||||
\(178\) | 7.59717 | − | 7.59717i | 0.569432 | − | 0.569432i | ||||
\(179\) | −14.5064 | −1.08426 | −0.542130 | − | 0.840295i | \(-0.682382\pi\) | ||||
−0.542130 | + | 0.840295i | \(0.682382\pi\) | |||||||
\(180\) | 0.270788 | − | 4.96202i | 0.0201834 | − | 0.369847i | ||||
\(181\) | 1.37676 | + | 0.663011i | 0.102334 | + | 0.0492812i | 0.484350 | − | 0.874874i | \(-0.339056\pi\) |
−0.382017 | + | 0.924155i | \(0.624770\pi\) | |||||||
\(182\) | 2.22770 | − | 0.251001i | 0.165128 | − | 0.0186055i | ||||
\(183\) | −2.26227 | + | 0.791603i | −0.167232 | + | 0.0585170i | ||||
\(184\) | 0.715714 | + | 3.13575i | 0.0527632 | + | 0.231171i | ||||
\(185\) | −1.17438 | − | 1.30996i | −0.0863424 | − | 0.0963101i | ||||
\(186\) | 3.51619 | + | 15.4054i | 0.257820 | + | 1.12958i | ||||
\(187\) | −38.1497 | − | 13.3492i | −2.78978 | − | 0.976187i | ||||
\(188\) | −1.09816 | − | 9.74648i | −0.0800919 | − | 0.710835i | ||||
\(189\) | 2.76809 | + | 2.20748i | 0.201349 | + | 0.160571i | ||||
\(190\) | −2.42384 | + | 14.4036i | −0.175844 | + | 1.04495i | ||||
\(191\) | −3.61165 | − | 7.49967i | −0.261330 | − | 0.542657i | 0.728478 | − | 0.685070i | \(-0.240228\pi\) |
−0.989807 | + | 0.142413i | \(0.954514\pi\) | |||||||
\(192\) | −2.15701 | + | 0.754772i | −0.155669 | + | 0.0544709i | ||||
\(193\) | 2.74541 | + | 4.36930i | 0.197619 | + | 0.314509i | 0.930803 | − | 0.365522i | \(-0.119109\pi\) |
−0.733184 | + | 0.680031i | \(0.761966\pi\) | |||||||
\(194\) | 2.58695 | − | 11.3342i | 0.185732 | − | 0.813747i | ||||
\(195\) | 2.20872 | + | 5.30856i | 0.158170 | + | 0.380154i | ||||
\(196\) | −2.73037 | + | 1.31488i | −0.195027 | + | 0.0939198i | ||||
\(197\) | 0.939755 | − | 0.590487i | 0.0669548 | − | 0.0420705i | −0.498139 | − | 0.867097i | \(-0.665983\pi\) |
0.565093 | + | 0.825027i | \(0.308840\pi\) | |||||||
\(198\) | −11.6367 | + | 1.31114i | −0.826982 | + | 0.0931785i | ||||
\(199\) | 5.87038 | − | 7.36122i | 0.416140 | − | 0.521823i | −0.528941 | − | 0.848659i | \(-0.677411\pi\) |
0.945081 | + | 0.326835i | \(0.105982\pi\) | |||||||
\(200\) | −1.09718 | + | 4.87814i | −0.0775822 | + | 0.344936i | ||||
\(201\) | 13.5942 | − | 3.10278i | 0.958858 | − | 0.218853i | ||||
\(202\) | −4.36899 | − | 0.492267i | −0.307401 | − | 0.0346358i | ||||
\(203\) | 14.8051 | + | 9.30263i | 1.03911 | + | 0.652917i | ||||
\(204\) | −15.7931 | − | 7.60557i | −1.10574 | − | 0.532497i | ||||
\(205\) | −7.00983 | + | 1.20243i | −0.489588 | + | 0.0839813i | ||||
\(206\) | 5.65992 | − | 11.7530i | 0.394345 | − | 0.818867i | ||||
\(207\) | −0.800329 | + | 7.10312i | −0.0556267 | + | 0.493701i | ||||
\(208\) | 0.795632 | − | 0.795632i | 0.0551672 | − | 0.0551672i | ||||
\(209\) | 34.4191 | 2.38082 | ||||||||
\(210\) | 6.79604 | + | 7.58060i | 0.468971 | + | 0.523111i | ||||
\(211\) | −5.93786 | − | 12.3301i | −0.408779 | − | 0.848839i | −0.999130 | − | 0.0416926i | \(-0.986725\pi\) |
0.590351 | − | 0.807147i | \(-0.298989\pi\) | |||||||
\(212\) | 2.35613 | − | 1.48046i | 0.161820 | − | 0.101678i | ||||
\(213\) | −4.05197 | − | 2.54602i | −0.277636 | − | 0.174450i | ||||
\(214\) | −2.76612 | −0.189088 | ||||||||
\(215\) | 9.83114 | − | 10.8788i | 0.670478 | − | 0.741929i | ||||
\(216\) | 1.77705 | 0.120913 | ||||||||
\(217\) | −11.6648 | − | 7.32949i | −0.791860 | − | 0.497558i | ||||
\(218\) | −11.9473 | + | 7.50702i | −0.809176 | + | 0.508439i | ||||
\(219\) | −14.1520 | − | 29.3869i | −0.956303 | − | 1.98578i | ||||
\(220\) | 11.7649 | + | 0.642035i | 0.793189 | + | 0.0432860i | ||||
\(221\) | 8.63081 | 0.580571 | ||||||||
\(222\) | −1.27138 | + | 1.27138i | −0.0853297 | + | 0.0853297i | ||||
\(223\) | 3.33388 | − | 29.5890i | 0.223253 | − | 1.98142i | 0.0344662 | − | 0.999406i | \(-0.489027\pi\) |
0.188787 | − | 0.982018i | \(-0.439545\pi\) | |||||||
\(224\) | 0.864455 | − | 1.79506i | 0.0577588 | − | 0.119937i | ||||
\(225\) | −5.88211 | + | 9.42740i | −0.392141 | + | 0.628493i | ||||
\(226\) | 11.0124 | + | 5.30329i | 0.732534 | + | 0.352770i | ||||
\(227\) | −16.0082 | − | 10.0586i | −1.06250 | − | 0.667616i | −0.116969 | − | 0.993136i | \(-0.537318\pi\) |
−0.945535 | + | 0.325520i | \(0.894461\pi\) | |||||||
\(228\) | 14.8336 | + | 1.67134i | 0.982377 | + | 0.110687i | ||||
\(229\) | −19.0338 | + | 4.34435i | −1.25779 | + | 0.287082i | −0.798929 | − | 0.601425i | \(-0.794600\pi\) |
−0.458862 | + | 0.888508i | \(0.651743\pi\) | |||||||
\(230\) | 1.98009 | − | 6.91412i | 0.130563 | − | 0.455904i | ||||
\(231\) | 14.9583 | − | 18.7571i | 0.984182 | − | 1.23412i | ||||
\(232\) | 8.72087 | − | 0.982606i | 0.572553 | − | 0.0645112i | ||||
\(233\) | −0.527373 | + | 0.331370i | −0.0345493 | + | 0.0217088i | −0.549196 | − | 0.835694i | \(-0.685066\pi\) |
0.514647 | + | 0.857402i | \(0.327923\pi\) | |||||||
\(234\) | 2.25298 | − | 1.08498i | 0.147282 | − | 0.0709271i | ||||
\(235\) | −8.36084 | + | 20.2755i | −0.545401 | + | 1.32263i | ||||
\(236\) | −0.255821 | + | 1.12083i | −0.0166525 | + | 0.0729595i | ||||
\(237\) | 14.4400 | + | 22.9811i | 0.937977 | + | 1.49278i | ||||
\(238\) | 14.4248 | − | 5.04747i | 0.935024 | − | 0.327179i | ||||
\(239\) | −3.89990 | − | 8.09822i | −0.252263 | − | 0.523831i | 0.735927 | − | 0.677061i | \(-0.236747\pi\) |
−0.988190 | + | 0.153230i | \(0.951032\pi\) | |||||||
\(240\) | 5.03913 | + | 0.847984i | 0.325275 | + | 0.0547371i | ||||
\(241\) | −8.70365 | − | 6.94093i | −0.560652 | − | 0.447105i | 0.301708 | − | 0.953400i | \(-0.402443\pi\) |
−0.862360 | + | 0.506296i | \(0.831015\pi\) | |||||||
\(242\) | −1.87708 | − | 16.6596i | −0.120663 | − | 1.07092i | ||||
\(243\) | 18.1088 | + | 6.33655i | 1.16168 | + | 0.406490i | ||||
\(244\) | −0.233380 | − | 1.02250i | −0.0149406 | − | 0.0654590i | ||||
\(245\) | 6.76630 | + | 0.369251i | 0.432283 | + | 0.0235906i | ||||
\(246\) | 1.61743 | + | 7.08641i | 0.103123 | + | 0.451813i | ||||
\(247\) | −6.93739 | + | 2.42750i | −0.441416 | + | 0.154458i | ||||
\(248\) | −6.87113 | + | 0.774190i | −0.436317 | + | 0.0491611i | ||||
\(249\) | 14.3285 | + | 6.90023i | 0.908030 | + | 0.437284i | ||||
\(250\) | 7.41034 | − | 8.37179i | 0.468671 | − | 0.529479i | ||||
\(251\) | −11.8977 | −0.750975 | −0.375487 | − | 0.926828i | \(-0.622525\pi\) | ||||
−0.375487 | + | 0.926828i | \(0.622525\pi\) | |||||||
\(252\) | 3.13093 | − | 3.13093i | 0.197230 | − | 0.197230i | ||||
\(253\) | −16.8414 | − | 1.89757i | −1.05881 | − | 0.119299i | ||||
\(254\) | 11.2836 | − | 5.43391i | 0.707998 | − | 0.340954i | ||||
\(255\) | 22.7322 | + | 31.9309i | 1.42355 | + | 1.99959i | ||||
\(256\) | −0.222521 | − | 0.974928i | −0.0139076 | − | 0.0609330i | ||||
\(257\) | −12.0585 | + | 12.0585i | −0.752187 | + | 0.752187i | −0.974887 | − | 0.222700i | \(-0.928513\pi\) |
0.222700 | + | 0.974887i | \(0.428513\pi\) | |||||||
\(258\) | −11.6491 | − | 9.42663i | −0.725241 | − | 0.586876i | ||||
\(259\) | − | 1.56757i | − | 0.0974038i | ||||||
\(260\) | −2.41657 | + | 0.700344i | −0.149869 | + | 0.0434335i | ||||
\(261\) | 19.0148 | + | 4.34000i | 1.17698 | + | 0.268639i | ||||
\(262\) | −2.19961 | − | 0.769676i | −0.135892 | − | 0.0475508i | ||||
\(263\) | 0.679187 | − | 6.02796i | 0.0418805 | − | 0.371700i | −0.955238 | − | 0.295839i | \(-0.904401\pi\) |
0.997118 | − | 0.0758610i | \(-0.0241705\pi\) | |||||||
\(264\) | − | 12.0416i | − | 0.741107i | ||||||
\(265\) | −6.21183 | + | 0.358707i | −0.381590 | + | 0.0220352i | ||||
\(266\) | −10.1750 | + | 8.11426i | −0.623867 | + | 0.497517i | ||||
\(267\) | 8.10928 | + | 23.1750i | 0.496280 | + | 1.41829i | ||||
\(268\) | 0.683165 | + | 6.06326i | 0.0417309 | + | 0.370372i | ||||
\(269\) | 0.709508 | − | 1.47331i | 0.0432594 | − | 0.0898291i | −0.878219 | − | 0.478259i | \(-0.841268\pi\) |
0.921478 | + | 0.388430i | \(0.126982\pi\) | |||||||
\(270\) | −3.48082 | − | 1.91660i | −0.211836 | − | 0.116641i | ||||
\(271\) | 0.835083 | + | 1.04716i | 0.0507277 | + | 0.0636105i | 0.806548 | − | 0.591168i | \(-0.201333\pi\) |
−0.755820 | + | 0.654779i | \(0.772762\pi\) | |||||||
\(272\) | 4.08096 | − | 6.49480i | 0.247444 | − | 0.393805i | ||||
\(273\) | −1.69204 | + | 4.83558i | −0.102407 | + | 0.292663i | ||||
\(274\) | −12.1537 | − | 9.69225i | −0.734232 | − | 0.585530i | ||||
\(275\) | −22.3522 | − | 13.9464i | −1.34789 | − | 0.841000i | ||||
\(276\) | −7.16598 | − | 1.63559i | −0.431342 | − | 0.0984509i | ||||
\(277\) | 6.72511 | − | 19.2193i | 0.404073 | − | 1.15477i | −0.544650 | − | 0.838663i | \(-0.683338\pi\) |
0.948723 | − | 0.316110i | \(-0.102377\pi\) | |||||||
\(278\) | 0.898941 | + | 2.56903i | 0.0539149 | + | 0.154080i | ||||
\(279\) | −14.9816 | − | 3.41946i | −0.896927 | − | 0.204718i | ||||
\(280\) | −3.62929 | + | 2.58376i | −0.216892 | + | 0.154409i | ||||
\(281\) | −14.8234 | − | 7.13857i | −0.884289 | − | 0.425851i | −0.0640998 | − | 0.997943i | \(-0.520418\pi\) |
−0.820189 | + | 0.572092i | \(0.806132\pi\) | |||||||
\(282\) | 21.1563 | + | 7.40292i | 1.25984 | + | 0.440837i | ||||
\(283\) | 2.45721 | + | 3.91062i | 0.146066 | + | 0.232462i | 0.911742 | − | 0.410764i | \(-0.134738\pi\) |
−0.765676 | + | 0.643227i | \(0.777595\pi\) | |||||||
\(284\) | 1.30563 | − | 1.63720i | 0.0774746 | − | 0.0971501i | ||||
\(285\) | −27.2529 | − | 19.2722i | −1.61432 | − | 1.14159i | ||||
\(286\) | 2.57246 | + | 5.34178i | 0.152113 | + | 0.315866i | ||||
\(287\) | −5.36575 | − | 3.37152i | −0.316730 | − | 0.199015i | ||||
\(288\) | 0.248828 | − | 2.20841i | 0.0146623 | − | 0.130132i | ||||
\(289\) | 40.7877 | − | 9.30954i | 2.39928 | − | 0.547620i | ||||
\(290\) | −18.1419 | − | 7.48103i | −1.06533 | − | 0.439301i | ||||
\(291\) | 20.7714 | + | 16.5646i | 1.21764 | + | 0.971036i | ||||
\(292\) | 13.4719 | − | 4.71401i | 0.788382 | − | 0.275867i | ||||
\(293\) | 4.40882 | + | 0.496754i | 0.257566 | + | 0.0290207i | 0.239803 | − | 0.970822i | \(-0.422917\pi\) |
0.0177626 | + | 0.999842i | \(0.494346\pi\) | |||||||
\(294\) | − | 6.92543i | − | 0.403899i | ||||||
\(295\) | 1.70994 | − | 1.91953i | 0.0995566 | − | 0.111759i | ||||
\(296\) | −0.490554 | − | 0.615135i | −0.0285128 | − | 0.0357540i | ||||
\(297\) | −3.09263 | + | 8.83823i | −0.179453 | + | 0.512846i | ||||
\(298\) | −4.50579 | − | 7.17092i | −0.261013 | − | 0.415400i | ||||
\(299\) | 3.52832 | − | 0.805317i | 0.204048 | − | 0.0465727i | ||||
\(300\) | −8.95591 | − | 7.09587i | −0.517070 | − | 0.409680i | ||||
\(301\) | 12.9928 | − | 1.37010i | 0.748891 | − | 0.0789713i | ||||
\(302\) | 1.84731 | + | 1.84731i | 0.106301 | + | 0.106301i | ||||
\(303\) | 5.34555 | − | 8.50740i | 0.307094 | − | 0.488737i | ||||
\(304\) | −1.45352 | + | 6.36829i | −0.0833652 | + | 0.365247i | ||||
\(305\) | −0.645665 | + | 2.25455i | −0.0369707 | + | 0.129095i | ||||
\(306\) | 13.3277 | − | 10.6285i | 0.761897 | − | 0.607592i | ||||
\(307\) | −11.5613 | − | 11.5613i | −0.659840 | − | 0.659840i | 0.295502 | − | 0.955342i | \(-0.404513\pi\) |
−0.955342 | + | 0.295502i | \(0.904513\pi\) | |||||||
\(308\) | 7.42339 | + | 7.42339i | 0.422987 | + | 0.422987i | ||||
\(309\) | 18.5866 | + | 23.3069i | 1.05736 | + | 1.32588i | ||||
\(310\) | 14.2939 | + | 5.89427i | 0.811841 | + | 0.334772i | ||||
\(311\) | −14.7750 | + | 18.5273i | −0.837813 | + | 1.05058i | 0.160169 | + | 0.987090i | \(0.448796\pi\) |
−0.997982 | + | 0.0634949i | \(0.979775\pi\) | |||||||
\(312\) | 0.849264 | + | 2.42706i | 0.0480801 | + | 0.137405i | ||||
\(313\) | −10.9411 | + | 17.4127i | −0.618428 | + | 0.984222i | 0.379821 | + | 0.925060i | \(0.375986\pi\) |
−0.998248 | + | 0.0591619i | \(0.981157\pi\) | |||||||
\(314\) | −14.8237 | + | 11.8215i | −0.836549 | + | 0.667125i | ||||
\(315\) | −9.50957 | + | 2.75596i | −0.535803 | + | 0.155281i | ||||
\(316\) | −10.7005 | + | 5.15309i | −0.601950 | + | 0.289884i | ||||
\(317\) | −2.62232 | + | 0.295465i | −0.147284 | + | 0.0165950i | −0.185299 | − | 0.982682i | \(-0.559325\pi\) |
0.0380144 | + | 0.999277i | \(0.487897\pi\) | |||||||
\(318\) | 0.711988 | + | 6.31906i | 0.0399263 | + | 0.354356i | ||||
\(319\) | −10.2901 | + | 45.0838i | −0.576134 | + | 2.52421i | ||||
\(320\) | −0.615623 | + | 2.14965i | −0.0344144 | + | 0.120169i | ||||
\(321\) | 2.74270 | − | 5.69528i | 0.153083 | − | 0.317880i | ||||
\(322\) | 5.42600 | − | 3.40938i | 0.302379 | − | 0.189997i | ||||
\(323\) | −42.4245 | + | 26.6571i | −2.36056 | + | 1.48324i | ||||
\(324\) | −4.65477 | + | 9.66574i | −0.258599 | + | 0.536985i | ||||
\(325\) | 5.48885 | + | 1.23454i | 0.304466 | + | 0.0684798i | ||||
\(326\) | 4.26069 | − | 18.6673i | 0.235978 | − | 1.03389i | ||||
\(327\) | −3.61031 | − | 32.0424i | −0.199650 | − | 1.77195i | ||||
\(328\) | −3.16068 | + | 0.356123i | −0.174519 | + | 0.0196636i | ||||
\(329\) | −17.6062 | + | 8.47870i | −0.970662 | + | 0.467446i | ||||
\(330\) | −12.9872 | + | 23.5866i | −0.714922 | + | 1.29840i | ||||
\(331\) | 5.88517 | − | 4.69326i | 0.323478 | − | 0.257965i | −0.448264 | − | 0.893901i | \(-0.647957\pi\) |
0.771741 | + | 0.635936i | \(0.219386\pi\) | |||||||
\(332\) | −3.70249 | + | 5.89247i | −0.203200 | + | 0.323391i | ||||
\(333\) | −0.577507 | − | 1.65042i | −0.0316472 | − | 0.0904425i | ||||
\(334\) | −6.67289 | + | 8.36753i | −0.365124 | + | 0.457851i | ||||
\(335\) | 5.20125 | − | 12.6133i | 0.284175 | − | 0.689140i | ||||
\(336\) | 2.83879 | + | 3.55972i | 0.154868 | + | 0.194199i | ||||
\(337\) | 4.35574 | + | 4.35574i | 0.237272 | + | 0.237272i | 0.815720 | − | 0.578447i | \(-0.196341\pi\) |
−0.578447 | + | 0.815720i | \(0.696341\pi\) | |||||||
\(338\) | 8.29715 | + | 8.29715i | 0.451305 | + | 0.451305i | ||||
\(339\) | −21.8384 | + | 17.4155i | −1.18610 | + | 0.945881i | ||||
\(340\) | −14.9985 | + | 8.32037i | −0.813408 | + | 0.451236i | ||||
\(341\) | 8.10750 | − | 35.5213i | 0.439046 | − | 1.92358i | ||||
\(342\) | −7.72339 | + | 12.2917i | −0.417633 | + | 0.664659i | ||||
\(343\) | 14.1311 | + | 14.1311i | 0.763007 | + | 0.763007i | ||||
\(344\) | 4.66978 | − | 4.60360i | 0.251778 | − | 0.248209i | ||||
\(345\) | 12.2725 | + | 10.9325i | 0.660727 | + | 0.588585i | ||||
\(346\) | −0.449241 | + | 0.102536i | −0.0241513 | + | 0.00551238i | ||||
\(347\) | 11.8945 | + | 18.9300i | 0.638530 | + | 1.01621i | 0.996590 | + | 0.0825156i | \(0.0262954\pi\) |
−0.358060 | + | 0.933699i | \(0.616562\pi\) | |||||||
\(348\) | −6.62391 | + | 18.9301i | −0.355079 | + | 1.01476i | ||||
\(349\) | 12.9103 | + | 16.1890i | 0.691074 | + | 0.866579i | 0.996321 | − | 0.0856941i | \(-0.0273108\pi\) |
−0.305248 | + | 0.952273i | \(0.598739\pi\) | |||||||
\(350\) | 9.89561 | − | 1.14668i | 0.528942 | − | 0.0612927i | ||||
\(351\) | − | 1.99952i | − | 0.106726i | ||||||
\(352\) | 5.23612 | + | 0.589969i | 0.279086 | + | 0.0314454i | ||||
\(353\) | 4.92640 | − | 1.72382i | 0.262206 | − | 0.0917498i | −0.195975 | − | 0.980609i | \(-0.562787\pi\) |
0.458181 | + | 0.888859i | \(0.348501\pi\) | |||||||
\(354\) | −2.05406 | − | 1.63806i | −0.109172 | − | 0.0870618i | ||||
\(355\) | −4.32319 | + | 1.79874i | −0.229451 | + | 0.0954673i | ||||
\(356\) | −10.4746 | + | 2.39077i | −0.555155 | + | 0.126711i | ||||
\(357\) | −3.91028 | + | 34.7047i | −0.206954 | + | 1.83677i | ||||
\(358\) | 12.2829 | + | 7.71788i | 0.649173 | + | 0.407902i | ||||
\(359\) | −3.31568 | − | 6.88508i | −0.174995 | − | 0.363380i | 0.794961 | − | 0.606660i | \(-0.207491\pi\) |
−0.969956 | + | 0.243280i | \(0.921777\pi\) | |||||||
\(360\) | −2.86924 | + | 4.05740i | −0.151222 | + | 0.213844i | ||||
\(361\) | 14.7567 | − | 18.5043i | 0.776668 | − | 0.973911i | ||||
\(362\) | −0.812990 | − | 1.29387i | −0.0427298 | − | 0.0680041i | ||||
\(363\) | 36.1623 | + | 12.6537i | 1.89803 | + | 0.664148i | ||||
\(364\) | −2.01979 | − | 0.972679i | −0.105866 | − | 0.0509822i | ||||
\(365\) | −31.4725 | − | 5.29618i | −1.64734 | − | 0.277215i | ||||
\(366\) | 2.33668 | + | 0.533332i | 0.122140 | + | 0.0278777i | ||||
\(367\) | −8.47281 | − | 24.2139i | −0.442277 | − | 1.26395i | −0.922224 | − | 0.386657i | \(-0.873630\pi\) |
0.479947 | − | 0.877298i | \(-0.340656\pi\) | |||||||
\(368\) | 1.06231 | − | 3.03590i | 0.0553766 | − | 0.158257i | ||||
\(369\) | −6.89146 | − | 1.57293i | −0.358755 | − | 0.0818836i | ||||
\(370\) | 0.297438 | + | 1.73398i | 0.0154631 | + | 0.0901455i | ||||
\(371\) | −4.33451 | − | 3.45665i | −0.225036 | − | 0.179461i | ||||
\(372\) | 5.21895 | − | 14.9149i | 0.270590 | − | 0.773301i | ||||
\(373\) | 6.83240 | − | 10.8737i | 0.353768 | − | 0.563019i | −0.621674 | − | 0.783276i | \(-0.713547\pi\) |
0.975442 | + | 0.220258i | \(0.0706898\pi\) | |||||||
\(374\) | 25.2001 | + | 31.5999i | 1.30307 | + | 1.63399i | ||||
\(375\) | 9.88944 | + | 23.5584i | 0.510688 | + | 1.21655i | ||||
\(376\) | −4.25560 | + | 8.83684i | −0.219466 | + | 0.455725i | ||||
\(377\) | −1.10562 | − | 9.81267i | −0.0569424 | − | 0.505378i | ||||
\(378\) | −1.16936 | − | 3.34184i | −0.0601454 | − | 0.171886i | ||||
\(379\) | 1.58898 | − | 1.26717i | 0.0816206 | − | 0.0650902i | −0.581830 | − | 0.813311i | \(-0.697663\pi\) |
0.663450 | + | 0.748221i | \(0.269091\pi\) | |||||||
\(380\) | 9.71551 | − | 10.9063i | 0.498395 | − | 0.559483i | ||||
\(381\) | 28.6203i | 1.46626i | ||||||||
\(382\) | −0.931993 | + | 8.27166i | −0.0476849 | + | 0.423215i | ||||
\(383\) | −22.7502 | − | 7.96063i | −1.16248 | − | 0.406769i | −0.321011 | − | 0.947076i | \(-0.604023\pi\) |
−0.841468 | + | 0.540306i | \(0.818308\pi\) | |||||||
\(384\) | 2.22796 | + | 0.508517i | 0.113695 | + | 0.0259501i | ||||
\(385\) | −6.53434 | − | 22.5471i | −0.333021 | − | 1.14910i | ||||
\(386\) | − | 5.16024i | − | 0.262649i | ||||||
\(387\) | 13.1748 | − | 6.22919i | 0.669710 | − | 0.316647i | ||||
\(388\) | −8.22059 | + | 8.22059i | −0.417337 | + | 0.417337i | ||||
\(389\) | −0.0793661 | − | 0.347726i | −0.00402402 | − | 0.0176304i | 0.972876 | − | 0.231327i | \(-0.0743067\pi\) |
−0.976900 | + | 0.213697i | \(0.931450\pi\) | |||||||
\(390\) | 0.954146 | − | 5.67000i | 0.0483151 | − | 0.287112i | ||||
\(391\) | 22.2281 | − | 10.7045i | 1.12412 | − | 0.541350i | ||||
\(392\) | 3.01143 | + | 0.339307i | 0.152100 | + | 0.0171376i | ||||
\(393\) | 3.76571 | − | 3.76571i | 0.189955 | − | 0.189955i | ||||
\(394\) | −1.10987 | −0.0559145 | ||||||||
\(395\) | 26.5175 | + | 1.44712i | 1.33424 | + | 0.0728125i | ||||
\(396\) | 10.5506 | + | 5.08091i | 0.530188 | + | 0.255325i | ||||
\(397\) | −38.3593 | + | 4.32206i | −1.92520 | + | 0.216918i | −0.990397 | − | 0.138251i | \(-0.955852\pi\) |
−0.934802 | + | 0.355169i | \(0.884423\pi\) | |||||||
\(398\) | −8.88700 | + | 3.10970i | −0.445465 | + | 0.155875i | ||||
\(399\) | −6.61797 | − | 28.9952i | −0.331313 | − | 1.45158i | ||||
\(400\) | 3.52433 | − | 3.54670i | 0.176217 | − | 0.177335i | ||||
\(401\) | 0.0462392 | + | 0.202587i | 0.00230908 | + | 0.0101167i | 0.976069 | − | 0.217460i | \(-0.0697770\pi\) |
−0.973760 | + | 0.227576i | \(0.926920\pi\) | |||||||
\(402\) | −13.1613 | − | 4.60533i | −0.656425 | − | 0.229693i | ||||
\(403\) | 0.871114 | + | 7.73135i | 0.0433933 | + | 0.385126i | ||||
\(404\) | 3.43743 | + | 2.74126i | 0.171018 | + | 0.136383i | ||||
\(405\) | 19.5424 | − | 13.9126i | 0.971071 | − | 0.691323i | ||||
\(406\) | −7.58650 | − | 15.7535i | −0.376512 | − | 0.781834i | ||||
\(407\) | 3.91313 | − | 1.36926i | 0.193967 | − | 0.0678718i | ||||
\(408\) | 9.32602 | + | 14.8423i | 0.461707 | + | 0.734802i | ||||
\(409\) | 7.93684 | − | 34.7735i | 0.392451 | − | 1.71944i | −0.263519 | − | 0.964654i | \(-0.584883\pi\) |
0.655970 | − | 0.754787i | \(-0.272260\pi\) | |||||||
\(410\) | 6.57512 | + | 2.71133i | 0.324722 | + | 0.133903i | ||||
\(411\) | 32.0066 | − | 15.4136i | 1.57877 | − | 0.760295i | ||||
\(412\) | −11.0453 | + | 6.94025i | −0.544165 | + | 0.341921i | ||||
\(413\) | 2.27612 | − | 0.256457i | 0.112001 | − | 0.0126194i | ||||
\(414\) | 4.45674 | − | 5.58858i | 0.219037 | − | 0.274664i | ||||
\(415\) | 13.6075 | − | 7.54874i | 0.667967 | − | 0.370553i | ||||
\(416\) | −1.09698 | + | 0.250379i | −0.0537840 | + | 0.0122758i | ||||
\(417\) | −6.18081 | − | 0.696410i | −0.302676 | − | 0.0341033i | ||||
\(418\) | −29.1435 | − | 18.3121i | −1.42545 | − | 0.895672i | ||||
\(419\) | −19.8938 | − | 9.58036i | −0.971877 | − | 0.468031i | −0.120573 | − | 0.992704i | \(-0.538473\pi\) |
−0.851304 | + | 0.524673i | \(0.824187\pi\) | |||||||
\(420\) | −1.72125 | − | 10.0344i | −0.0839883 | − | 0.489628i | ||||
\(421\) | −10.7661 | + | 22.3561i | −0.524710 | + | 1.08957i | 0.455248 | + | 0.890365i | \(0.349551\pi\) |
−0.979958 | + | 0.199206i | \(0.936164\pi\) | |||||||
\(422\) | −1.53228 | + | 13.5993i | −0.0745901 | + | 0.662005i | ||||
\(423\) | −15.4132 | + | 15.4132i | −0.749414 | + | 0.749414i | ||||
\(424\) | −2.78264 | −0.135137 | ||||||||
\(425\) | 38.3523 | − | 0.121334i | 1.86036 | − | 0.00588555i | ||||
\(426\) | 2.07633 | + | 4.31155i | 0.100599 | + | 0.208895i | ||||
\(427\) | −1.76931 | + | 1.11173i | −0.0856227 | + | 0.0538003i | ||||
\(428\) | 2.34214 | + | 1.47166i | 0.113212 | + | 0.0711356i | ||||
\(429\) | −13.5491 | −0.654157 | ||||||||
\(430\) | −14.1121 | + | 3.98087i | −0.680548 | + | 0.191975i | ||||
\(431\) | 13.0581 | 0.628985 | 0.314492 | − | 0.949260i | \(-0.398166\pi\) | ||||
0.314492 | + | 0.949260i | \(0.398166\pi\) | |||||||
\(432\) | −1.50467 | − | 0.945445i | −0.0723933 | − | 0.0454878i | ||||
\(433\) | −9.34138 | + | 5.86958i | −0.448918 | + | 0.282074i | −0.737457 | − | 0.675394i | \(-0.763973\pi\) |
0.288539 | + | 0.957468i | \(0.406831\pi\) | |||||||
\(434\) | 5.97736 | + | 12.4121i | 0.286923 | + | 0.595801i | ||||
\(435\) | 33.3914 | − | 29.9355i | 1.60099 | − | 1.43530i | ||||
\(436\) | 14.1101 | 0.675750 | ||||||||
\(437\) | −14.8561 | + | 14.8561i | −0.710663 | + | 0.710663i | ||||
\(438\) | −3.65195 | + | 32.4119i | −0.174497 | + | 1.54870i | ||||
\(439\) | 10.1019 | − | 20.9769i | 0.482139 | − | 1.00117i | −0.508036 | − | 0.861336i | \(-0.669628\pi\) |
0.990175 | − | 0.139836i | \(-0.0446576\pi\) | |||||||
\(440\) | −9.62003 | − | 6.80293i | −0.458617 | − | 0.324317i | ||||
\(441\) | 6.06794 | + | 2.92217i | 0.288950 | + | 0.139151i | ||||
\(442\) | −7.30791 | − | 4.59187i | −0.347602 | − | 0.218413i | ||||
\(443\) | 1.69261 | + | 0.190712i | 0.0804186 | + | 0.00906100i | 0.152082 | − | 0.988368i | \(-0.451402\pi\) |
−0.0716635 | + | 0.997429i | \(0.522831\pi\) | |||||||
\(444\) | 1.75293 | − | 0.400094i | 0.0831903 | − | 0.0189876i | ||||
\(445\) | 23.0959 | + | 6.61427i | 1.09485 | + | 0.313547i | ||||
\(446\) | −18.5652 | + | 23.2800i | −0.879086 | + | 1.10234i | ||||
\(447\) | 19.2322 | − | 2.16694i | 0.909650 | − | 0.102493i | ||||
\(448\) | −1.68698 | + | 1.06000i | −0.0797025 | + | 0.0500804i | ||||
\(449\) | 8.04256 | − | 3.87309i | 0.379552 | − | 0.182783i | −0.234373 | − | 0.972147i | \(-0.575304\pi\) |
0.613925 | + | 0.789364i | \(0.289590\pi\) | |||||||
\(450\) | 9.99620 | − | 4.85293i | 0.471225 | − | 0.228770i | ||||
\(451\) | 3.72940 | − | 16.3396i | 0.175611 | − | 0.769400i | ||||
\(452\) | −6.50295 | − | 10.3494i | −0.305873 | − | 0.486794i | ||||
\(453\) | −5.63519 | + | 1.97184i | −0.264764 | + | 0.0926450i | ||||
\(454\) | 8.20304 | + | 17.0338i | 0.384988 | + | 0.799435i | ||||
\(455\) | 2.90723 | + | 4.08366i | 0.136293 | + | 0.191445i | ||||
\(456\) | −11.6707 | − | 9.30710i | −0.546532 | − | 0.435845i | ||||
\(457\) | 2.31945 | + | 20.5857i | 0.108499 | + | 0.962956i | 0.923527 | + | 0.383534i | \(0.125293\pi\) |
−0.815028 | + | 0.579422i | \(0.803278\pi\) | |||||||
\(458\) | 18.4277 | + | 6.44814i | 0.861071 | + | 0.301302i | ||||
\(459\) | −3.03315 | − | 13.2891i | −0.141575 | − | 0.620281i | ||||
\(460\) | −5.35512 | + | 4.80089i | −0.249684 | + | 0.223843i | ||||
\(461\) | 2.85501 | + | 12.5086i | 0.132971 | + | 0.582584i | 0.996880 | + | 0.0789353i | \(0.0251521\pi\) |
−0.863909 | + | 0.503648i | \(0.831991\pi\) | |||||||
\(462\) | −22.6449 | + | 7.92379i | −1.05354 | + | 0.368648i | ||||
\(463\) | −1.15111 | + | 0.129698i | −0.0534964 | + | 0.00602760i | −0.138672 | − | 0.990338i | \(-0.544283\pi\) |
0.0851757 | + | 0.996366i | \(0.472855\pi\) | |||||||
\(464\) | −7.90695 | − | 3.80779i | −0.367071 | − | 0.176772i | ||||
\(465\) | −26.3089 | + | 23.5860i | −1.22005 | + | 1.09378i | ||||
\(466\) | 0.622839 | 0.0288524 | ||||||||
\(467\) | 15.1272 | − | 15.1272i | 0.700002 | − | 0.700002i | −0.264408 | − | 0.964411i | \(-0.585177\pi\) |
0.964411 | + | 0.264408i | \(0.0851767\pi\) | |||||||
\(468\) | −2.48489 | − | 0.279980i | −0.114864 | − | 0.0129421i | ||||
\(469\) | 10.9528 | − | 5.27458i | 0.505752 | − | 0.243557i | ||||
\(470\) | 17.8665 | − | 12.7195i | 0.824122 | − | 0.586708i | ||||
\(471\) | −9.64158 | − | 42.2425i | −0.444261 | − | 1.94643i | ||||
\(472\) | 0.812925 | − | 0.812925i | 0.0374179 | − | 0.0374179i | ||||
\(473\) | 14.7693 | + | 31.2372i | 0.679094 | + | 1.43629i | ||||
\(474\) | − | 27.1412i | − | 1.24664i | ||||||
\(475\) | −30.7933 | + | 10.8845i | −1.41289 | + | 0.499415i | ||||
\(476\) | −14.8993 | − | 3.40066i | −0.682908 | − | 0.155869i | ||||
\(477\) | −5.83708 | − | 2.04248i | −0.267261 | − | 0.0935188i | ||||
\(478\) | −1.00638 | + | 8.93183i | −0.0460306 | + | 0.408533i | ||||
\(479\) | − | 11.6421i | − | 0.531941i | −0.963981 | − | 0.265970i | \(-0.914308\pi\) | ||
0.963981 | − | 0.265970i | \(-0.0856924\pi\) | |||||||
\(480\) | −3.81560 | − | 3.39899i | −0.174158 | − | 0.155142i | ||||
\(481\) | −0.692146 | + | 0.551968i | −0.0315591 | + | 0.0251676i | ||||
\(482\) | 3.67680 | + | 10.5077i | 0.167473 | + | 0.478612i | ||||
\(483\) | 1.63965 | + | 14.5523i | 0.0746069 | + | 0.662154i | ||||
\(484\) | −7.27405 | + | 15.1047i | −0.330639 | + | 0.686578i | ||||
\(485\) | 24.9684 | − | 7.23606i | 1.13376 | − | 0.328573i | ||||
\(486\) | −11.9619 | − | 14.9998i | −0.542604 | − | 0.680404i | ||||
\(487\) | −4.99714 | + | 7.95290i | −0.226442 | + | 0.360380i | −0.940550 | − | 0.339655i | \(-0.889690\pi\) |
0.714108 | + | 0.700035i | \(0.246832\pi\) | |||||||
\(488\) | −0.346396 | + | 0.989943i | −0.0156806 | + | 0.0448126i | ||||
\(489\) | 34.2103 | + | 27.2818i | 1.54704 | + | 1.23372i | ||||
\(490\) | −5.53274 | − | 3.91254i | −0.249944 | − | 0.176751i | ||||
\(491\) | 29.4402 | + | 6.71953i | 1.32862 | + | 0.303248i | 0.827176 | − | 0.561944i | \(-0.189946\pi\) |
0.501441 | + | 0.865192i | \(0.332803\pi\) | |||||||
\(492\) | 2.40068 | − | 6.86076i | 0.108231 | − | 0.309307i | ||||
\(493\) | −22.2333 | − | 63.5392i | −1.00134 | − | 2.86166i | ||||
\(494\) | 7.16556 | + | 1.63549i | 0.322394 | + | 0.0735843i | ||||
\(495\) | −15.1863 | − | 21.3315i | −0.682573 | − | 0.958779i | ||||
\(496\) | 6.22984 | + | 3.00013i | 0.279728 | + | 0.134710i | ||||
\(497\) | −3.93801 | − | 1.37797i | −0.176644 | − | 0.0618103i | ||||
\(498\) | −8.46112 | − | 13.4658i | −0.379152 | − | 0.603417i | ||||
\(499\) | −25.5348 | + | 32.0196i | −1.14309 | + | 1.43339i | −0.259127 | + | 0.965843i | \(0.583435\pi\) |
−0.883967 | + | 0.467550i | \(0.845137\pi\) | |||||||
\(500\) | −10.7286 | + | 3.14606i | −0.479796 | + | 0.140696i | ||||
\(501\) | −10.6119 | − | 22.0358i | −0.474104 | − | 0.984486i | ||||
\(502\) | 10.0741 | + | 6.32995i | 0.449627 | + | 0.282519i | ||||
\(503\) | −1.71059 | + | 15.1819i | −0.0762713 | + | 0.676927i | 0.896159 | + | 0.443733i | \(0.146346\pi\) |
−0.972430 | + | 0.233194i | \(0.925082\pi\) | |||||||
\(504\) | −4.31679 | + | 0.985279i | −0.192285 | + | 0.0438878i | ||||
\(505\) | −3.77659 | − | 9.07686i | −0.168056 | − | 0.403915i | ||||
\(506\) | 13.2504 | + | 10.5669i | 0.589054 | + | 0.469755i | ||||
\(507\) | −25.3103 | + | 8.85644i | −1.12407 | + | 0.393328i | ||||
\(508\) | −12.4451 | − | 1.40223i | −0.552164 | − | 0.0622139i | ||||
\(509\) | − | 20.1530i | − | 0.893266i | −0.894717 | − | 0.446633i | \(-0.852623\pi\) | ||
0.894717 | − | 0.446633i | \(-0.147377\pi\) | |||||||
\(510\) | −2.25965 | − | 39.1310i | −0.100059 | − | 1.73275i | ||||
\(511\) | −17.7300 | − | 22.2327i | −0.784327 | − | 0.983515i | ||||
\(512\) | −0.330279 | + | 0.943883i | −0.0145964 | + | 0.0417141i | ||||
\(513\) | 6.17571 | + | 9.82859i | 0.272664 | + | 0.433943i | ||||
\(514\) | 16.6257 | − | 3.79471i | 0.733328 | − | 0.167377i | ||||
\(515\) | 29.1205 | − | 1.68159i | 1.28320 | − | 0.0740996i | ||||
\(516\) | 4.84829 | + | 14.1794i | 0.213434 | + | 0.624215i | ||||
\(517\) | −36.5444 | − | 36.5444i | −1.60722 | − | 1.60722i | ||||
\(518\) | −0.833995 | + | 1.32730i | −0.0366437 | + | 0.0583180i | ||||
\(519\) | 0.234321 | − | 1.02663i | 0.0102856 | − | 0.0450640i | ||||
\(520\) | 2.41878 | + | 0.692696i | 0.106070 | + | 0.0303767i | ||||
\(521\) | −7.36347 | + | 5.87217i | −0.322600 | + | 0.257265i | −0.771376 | − | 0.636379i | \(-0.780431\pi\) |
0.448777 | + | 0.893644i | \(0.351860\pi\) | |||||||
\(522\) | −13.7913 | − | 13.7913i | −0.603627 | − | 0.603627i | ||||
\(523\) | 8.16460 | + | 8.16460i | 0.357013 | + | 0.357013i | 0.862711 | − | 0.505698i | \(-0.168765\pi\) |
−0.505698 | + | 0.862711i | \(0.668765\pi\) | |||||||
\(524\) | 1.45297 | + | 1.82197i | 0.0634733 | + | 0.0795930i | ||||
\(525\) | −7.45088 | + | 21.5115i | −0.325183 | + | 0.938837i | ||||
\(526\) | −3.78215 | + | 4.74267i | −0.164910 | + | 0.206790i | ||||
\(527\) | 17.5175 | + | 50.0622i | 0.763075 | + | 2.18074i | ||||
\(528\) | −6.40650 | + | 10.1959i | −0.278807 | + | 0.443719i | ||||
\(529\) | −9.89394 | + | 7.89016i | −0.430171 | + | 0.343050i | ||||
\(530\) | 5.45055 | + | 3.00117i | 0.236757 | + | 0.130362i | ||||
\(531\) | 2.30194 | − | 1.10856i | 0.0998959 | − | 0.0481073i | ||||
\(532\) | 12.9324 | − | 1.45713i | 0.560692 | − | 0.0631748i | ||||
\(533\) | 0.400707 | + | 3.55637i | 0.0173565 | + | 0.154044i | ||||
\(534\) | 5.46352 | − | 23.9372i | 0.236429 | − | 1.03587i | ||||
\(535\) | −3.00047 | − | 5.40872i | −0.129722 | − | 0.233839i | ||||
\(536\) | 2.64740 | − | 5.49737i | 0.114350 | − | 0.237450i | ||||
\(537\) | −28.0696 | + | 17.6373i | −1.21129 | + | 0.761106i | ||||
\(538\) | −1.38460 | + | 0.870004i | −0.0596945 | + | 0.0375086i | ||||
\(539\) | −6.92842 | + | 14.3870i | −0.298428 | + | 0.619692i | ||||
\(540\) | 1.92760 | + | 3.47474i | 0.0829508 | + | 0.149529i | ||||
\(541\) | 1.07398 | − | 4.70542i | 0.0461741 | − | 0.202302i | −0.946579 | − | 0.322471i | \(-0.895487\pi\) |
0.992753 | + | 0.120169i | \(0.0383437\pi\) | |||||||
\(542\) | −0.149962 | − | 1.33095i | −0.00644141 | − | 0.0571691i | ||||
\(543\) | 3.47011 | − | 0.390987i | 0.148916 | − | 0.0167789i | ||||
\(544\) | −6.91089 | + | 3.32811i | −0.296302 | + | 0.142691i | ||||
\(545\) | −27.6384 | − | 15.2182i | −1.18390 | − | 0.651875i | ||||
\(546\) | 4.00538 | − | 3.19418i | 0.171414 | − | 0.136698i | ||||
\(547\) | 6.58247 | − | 10.4759i | 0.281446 | − | 0.447919i | −0.675845 | − | 0.737043i | \(-0.736221\pi\) |
0.957292 | + | 0.289124i | \(0.0933641\pi\) | |||||||
\(548\) | 5.13424 | + | 14.6728i | 0.219324 | + | 0.626792i | ||||
\(549\) | −1.45325 | + | 1.82232i | −0.0620233 | + | 0.0777747i | ||||
\(550\) | 11.5062 | + | 23.7009i | 0.490628 | + | 1.01061i | ||||
\(551\) | 35.7420 | + | 44.8191i | 1.52266 | + | 1.90936i | ||||
\(552\) | 5.19743 | + | 5.19743i | 0.221217 | + | 0.221217i | ||||
\(553\) | 16.7320 | + | 16.7320i | 0.711517 | + | 0.711517i | ||||
\(554\) | −15.9196 | + | 12.6954i | −0.676358 | + | 0.539377i | ||||
\(555\) | −3.86509 | − | 1.10690i | −0.164064 | − | 0.0469851i | ||||
\(556\) | 0.605649 | − | 2.65352i | 0.0256852 | − | 0.112534i | ||||
\(557\) | 8.36729 | − | 13.3165i | 0.354533 | − | 0.564237i | −0.621076 | − | 0.783750i | \(-0.713304\pi\) |
0.975609 | + | 0.219514i | \(0.0704471\pi\) | |||||||
\(558\) | 10.8661 | + | 10.8661i | 0.459997 | + | 0.459997i | ||||
\(559\) | −5.17994 | − | 5.25441i | −0.219088 | − | 0.222238i | ||||
\(560\) | 4.44765 | − | 0.256833i | 0.187948 | − | 0.0108532i | ||||
\(561\) | −90.0492 | + | 20.5531i | −3.80188 | + | 0.867754i | ||||
\(562\) | 8.75337 | + | 13.9309i | 0.369239 | + | 0.587640i | ||||
\(563\) | −4.65634 | + | 13.3070i | −0.196241 | + | 0.560825i | −0.999389 | − | 0.0349548i | \(-0.988871\pi\) |
0.803148 | + | 0.595780i | \(0.203157\pi\) | |||||||
\(564\) | −13.9750 | − | 17.5241i | −0.588453 | − | 0.737896i | ||||
\(565\) | 1.57563 | + | 27.2857i | 0.0662873 | + | 1.14792i | ||||
\(566\) | − | 4.61853i | − | 0.194131i | ||||||
\(567\) | 21.2400 | + | 2.39317i | 0.891996 | + | 0.100504i | ||||
\(568\) | −1.97655 | + | 0.691624i | −0.0829342 | + | 0.0290199i | ||||
\(569\) | −21.9709 | − | 17.5212i | −0.921070 | − | 0.734528i | 0.0433070 | − | 0.999062i | \(-0.486211\pi\) |
−0.964377 | + | 0.264533i | \(0.914782\pi\) | |||||||
\(570\) | 12.8223 | + | 30.8177i | 0.537065 | + | 1.29081i | ||||
\(571\) | −25.3339 | + | 5.78229i | −1.06019 | + | 0.241981i | −0.716848 | − | 0.697230i | \(-0.754416\pi\) |
−0.343341 | + | 0.939211i | \(0.611559\pi\) | |||||||
\(572\) | 0.663829 | − | 5.89164i | 0.0277561 | − | 0.246342i | ||||
\(573\) | −16.1068 | − | 10.1206i | −0.672870 | − | 0.422792i | ||||
\(574\) | 2.74955 | + | 5.70950i | 0.114764 | + | 0.238310i | ||||
\(575\) | 15.6673 | − | 3.62816i | 0.653374 | − | 0.151305i | ||||
\(576\) | −1.38563 | + | 1.73753i | −0.0577348 | + | 0.0723971i | ||||
\(577\) | −16.7447 | − | 26.6490i | −0.697089 | − | 1.10941i | −0.988266 | − | 0.152742i | \(-0.951190\pi\) |
0.291177 | − | 0.956669i | \(-0.405953\pi\) | |||||||
\(578\) | −39.4889 | − | 13.8178i | −1.64252 | − | 0.574744i | ||||
\(579\) | 10.6246 | + | 5.11656i | 0.441545 | + | 0.212637i | ||||
\(580\) | 11.3811 | + | 15.9865i | 0.472573 | + | 0.663802i | ||||
\(581\) | 13.5175 | + | 3.08529i | 0.560801 | + | 0.127999i | ||||
\(582\) | −8.77472 | − | 25.0767i | −0.363724 | − | 1.03946i | ||||
\(583\) | 4.84270 | − | 13.8396i | 0.200564 | − | 0.573179i | ||||
\(584\) | −13.9150 | − | 3.17600i | −0.575805 | − | 0.131424i | ||||
\(585\) | 4.56536 | + | 3.22845i | 0.188754 | + | 0.133480i | ||||
\(586\) | −3.46876 | − | 2.76625i | −0.143293 | − | 0.114273i | ||||
\(587\) | 2.19995 | − | 6.28709i | 0.0908016 | − | 0.259496i | −0.889522 | − | 0.456892i | \(-0.848963\pi\) |
0.980324 | + | 0.197396i | \(0.0632484\pi\) | |||||||
\(588\) | −3.68455 | + | 5.86393i | −0.151948 | + | 0.241824i | ||||
\(589\) | −28.1609 | − | 35.3127i | −1.16035 | − | 1.45504i | ||||
\(590\) | −2.46910 | + | 0.715566i | −0.101651 | + | 0.0294594i | ||||
\(591\) | 1.10048 | − | 2.28516i | 0.0452675 | − | 0.0939990i | ||||
\(592\) | 0.0880922 | + | 0.781840i | 0.00362057 | + | 0.0321334i | ||||
\(593\) | −6.13969 | − | 17.5462i | −0.252127 | − | 0.720537i | −0.998487 | − | 0.0549946i | \(-0.982486\pi\) |
0.746360 | − | 0.665543i | \(-0.231800\pi\) | |||||||
\(594\) | 7.32083 | − | 5.83817i | 0.300377 | − | 0.239543i | ||||
\(595\) | 25.5165 | + | 22.7305i | 1.04607 | + | 0.931858i | ||||
\(596\) | 8.46902i | 0.346905i | ||||||||
\(597\) | 2.40908 | − | 21.3812i | 0.0985972 | − | 0.875074i | ||||
\(598\) | −3.41597 | − | 1.19530i | −0.139690 | − | 0.0488795i | ||||
\(599\) | −10.7426 | − | 2.45192i | −0.438929 | − | 0.100183i | −0.00265501 | − | 0.999996i | \(-0.500845\pi\) |
−0.436274 | + | 0.899814i | \(0.643702\pi\) | |||||||
\(600\) | 3.80796 | + | 10.7731i | 0.155459 | + | 0.439809i | ||||
\(601\) | 18.5433i | 0.756395i | 0.925725 | + | 0.378198i | \(0.123456\pi\) | ||||
−0.925725 | + | 0.378198i | \(0.876544\pi\) | |||||||
\(602\) | −11.7302 | − | 5.75247i | −0.478088 | − | 0.234453i | ||||
\(603\) | 9.58848 | − | 9.58848i | 0.390473 | − | 0.390473i | ||||
\(604\) | −0.581335 | − | 2.54700i | −0.0236542 | − | 0.103636i | ||||
\(605\) | 30.5391 | − | 21.7413i | 1.24159 | − | 0.883911i | ||||
\(606\) | −9.05242 | + | 4.35941i | −0.367729 | + | 0.177089i | ||||
\(607\) | 9.46936 | + | 1.06694i | 0.384350 | + | 0.0433058i | 0.302026 | − | 0.953300i | \(-0.402337\pi\) |
0.0823240 | + | 0.996606i | \(0.473766\pi\) | |||||||
\(608\) | 4.61887 | − | 4.61887i | 0.187320 | − | 0.187320i | ||||
\(609\) | 39.9579 | 1.61918 | ||||||||
\(610\) | 1.74619 | − | 1.56547i | 0.0707014 | − | 0.0633840i | ||||
\(611\) | 9.94316 | + | 4.78837i | 0.402257 | + | 0.193717i | ||||
\(612\) | −16.9396 | + | 1.90864i | −0.684744 | + | 0.0771522i | ||||
\(613\) | 14.4509 | − | 5.05657i | 0.583664 | − | 0.204233i | −0.0222641 | − | 0.999752i | \(-0.507087\pi\) |
0.605928 | + | 0.795519i | \(0.292802\pi\) | |||||||
\(614\) | 3.63826 | + | 15.9403i | 0.146828 | + | 0.643296i | ||||
\(615\) | −12.1019 | + | 10.8494i | −0.487997 | + | 0.437491i | ||||
\(616\) | −2.33608 | − | 10.2350i | −0.0941235 | − | 0.412382i | ||||
\(617\) | −7.31491 | − | 2.55960i | −0.294487 | − | 0.103046i | 0.178992 | − | 0.983851i | \(-0.442716\pi\) |
−0.473479 | + | 0.880805i | \(0.657002\pi\) | |||||||
\(618\) | −3.33774 | − | 29.6232i | −0.134263 | − | 1.19162i | ||||
\(619\) | 14.9748 | + | 11.9420i | 0.601888 | + | 0.479990i | 0.876393 | − | 0.481596i | \(-0.159943\pi\) |
−0.274506 | + | 0.961586i | \(0.588514\pi\) | |||||||
\(620\) | −8.96708 | − | 12.5956i | −0.360126 | − | 0.505853i | ||||
\(621\) | −2.47994 | − | 5.14964i | −0.0995165 | − | 0.206648i | ||||
\(622\) | 22.3674 | − | 7.82671i | 0.896853 | − | 0.313822i | ||||
\(623\) | 11.3887 | + | 18.1250i | 0.456278 | + | 0.726162i | ||||
\(624\) | 0.572180 | − | 2.50688i | 0.0229055 | − | 0.100356i | ||||
\(625\) | 24.4079 | + | 5.40870i | 0.976316 | + | 0.216348i | ||||
\(626\) | 18.5282 | − | 8.92271i | 0.740536 | − | 0.356623i | ||||
\(627\) | 66.6002 | − | 41.8477i | 2.65976 | − | 1.67124i | ||||
\(628\) | 18.8410 | − | 2.12287i | 0.751837 | − | 0.0847117i | ||||
\(629\) | −3.76279 | + | 4.71839i | −0.150032 | + | 0.188135i | ||||
\(630\) | 9.51824 | + | 2.72586i | 0.379216 | + | 0.108601i | ||||
\(631\) | −43.2024 | + | 9.86066i | −1.71986 | + | 0.392547i | −0.964774 | − | 0.263080i | \(-0.915262\pi\) |
−0.755085 | + | 0.655626i | \(0.772405\pi\) | |||||||
\(632\) | 11.8020 | + | 1.32976i | 0.469457 | + | 0.0528951i | ||||
\(633\) | −26.4809 | − | 16.6391i | −1.05252 | − | 0.661344i | ||||
\(634\) | 2.37758 | + | 1.14498i | 0.0944258 | + | 0.0454731i | ||||
\(635\) | 22.8648 | + | 16.1691i | 0.907361 | + | 0.641651i | ||||
\(636\) | 2.75909 | − | 5.72931i | 0.109405 | − | 0.227182i | ||||
\(637\) | 0.381786 | − | 3.38844i | 0.0151269 | − | 0.134255i | ||||
\(638\) | 32.6989 | − | 32.6989i | 1.29456 | − | 1.29456i | ||||
\(639\) | −4.65381 | −0.184102 | ||||||||
\(640\) | 1.66495 | − | 1.49263i | 0.0658128 | − | 0.0590015i | ||||
\(641\) | 11.6815 | + | 24.2570i | 0.461393 | + | 0.958093i | 0.993756 | + | 0.111576i | \(0.0355900\pi\) |
−0.532363 | + | 0.846516i | \(0.678696\pi\) | |||||||
\(642\) | −5.35239 | + | 3.36313i | −0.211242 | + | 0.132732i | ||||
\(643\) | −17.8172 | − | 11.1953i | −0.702643 | − | 0.441500i | 0.132752 | − | 0.991149i | \(-0.457618\pi\) |
−0.835395 | + | 0.549649i | \(0.814761\pi\) | |||||||
\(644\) | −6.40822 | −0.252519 | ||||||||
\(645\) | 5.79629 | − | 33.0033i | 0.228229 | − | 1.29950i | ||||
\(646\) | 50.1043 | 1.97133 | ||||||||
\(647\) | 4.49808 | + | 2.82633i | 0.176838 | + | 0.111114i | 0.617542 | − | 0.786538i | \(-0.288128\pi\) |
−0.440704 | + | 0.897652i | \(0.645271\pi\) | |||||||
\(648\) | 9.08379 | − | 5.70772i | 0.356845 | − | 0.224221i | ||||
\(649\) | 2.62838 | + | 5.45788i | 0.103173 | + | 0.214241i | ||||
\(650\) | −3.99073 | − | 3.96555i | −0.156529 | − | 0.155542i | ||||
\(651\) | −31.4826 | −1.23390 | ||||||||
\(652\) | −13.5392 | + | 13.5392i | −0.530237 | + | 0.530237i | ||||
\(653\) | −1.96616 | + | 17.4501i | −0.0769416 | + | 0.682876i | 0.894741 | + | 0.446586i | \(0.147360\pi\) |
−0.971683 | + | 0.236290i | \(0.924068\pi\) | |||||||
\(654\) | −13.9906 | + | 29.0519i | −0.547077 | + | 1.13602i | ||||
\(655\) | −0.880982 | − | 5.13588i | −0.0344228 | − | 0.200675i | ||||
\(656\) | 2.86569 | + | 1.38004i | 0.111886 | + | 0.0538817i | ||||
\(657\) | −26.8578 | − | 16.8759i | −1.04782 | − | 0.658391i | ||||
\(658\) | 19.4185 | + | 2.18794i | 0.757014 | + | 0.0852950i | ||||
\(659\) | 26.7524 | − | 6.10607i | 1.04213 | − | 0.237859i | 0.332991 | − | 0.942930i | \(-0.391942\pi\) |
0.709136 | + | 0.705072i | \(0.249085\pi\) | |||||||
\(660\) | 23.5454 | − | 13.0618i | 0.916505 | − | 0.508428i | ||||
\(661\) | −16.5277 | + | 20.7251i | −0.642854 | + | 0.806114i | −0.991357 | − | 0.131194i | \(-0.958119\pi\) |
0.348503 | + | 0.937308i | \(0.386690\pi\) | |||||||
\(662\) | −7.48008 | + | 0.842802i | −0.290722 | + | 0.0327564i | ||||
\(663\) | 16.7004 | − | 10.4936i | 0.648591 | − | 0.407537i | ||||
\(664\) | 6.26997 | − | 3.01946i | 0.243322 | − | 0.117178i | ||||
\(665\) | −26.9032 | − | 11.0938i | −1.04326 | − | 0.430201i | ||||
\(666\) | −0.389088 | + | 1.70470i | −0.0150768 | + | 0.0660559i | ||||
\(667\) | −15.0178 | − | 23.9007i | −0.581491 | − | 0.925437i | ||||
\(668\) | 10.1019 | − | 3.53480i | 0.390854 | − | 0.136766i | ||||
\(669\) | −29.5241 | − | 61.3075i | −1.14147 | − | 2.37028i | ||||
\(670\) | −11.1147 | + | 7.91278i | −0.429399 | + | 0.305697i | ||||
\(671\) | −4.32070 | − | 3.44564i | −0.166799 | − | 0.133018i | ||||
\(672\) | −0.509781 | − | 4.52443i | −0.0196652 | − | 0.174534i | ||||
\(673\) | 10.4402 | + | 3.65320i | 0.402442 | + | 0.140821i | 0.523908 | − | 0.851775i | \(-0.324474\pi\) |
−0.121466 | + | 0.992596i | \(0.538759\pi\) | |||||||
\(674\) | −1.37072 | − | 6.00550i | −0.0527981 | − | 0.231323i | ||||
\(675\) | −0.0281097 | − | 8.88518i | −0.00108194 | − | 0.341991i | ||||
\(676\) | −2.61105 | − | 11.4397i | −0.100425 | − | 0.439990i | ||||
\(677\) | 22.0478 | − | 7.71484i | 0.847364 | − | 0.296506i | 0.128546 | − | 0.991704i | \(-0.458969\pi\) |
0.718818 | + | 0.695198i | \(0.244683\pi\) | |||||||
\(678\) | 27.7567 | − | 3.12743i | 1.06599 | − | 0.120108i | ||||
\(679\) | 20.8687 | + | 10.0499i | 0.800869 | + | 0.385678i | ||||
\(680\) | 17.1263 | + | 0.934618i | 0.656763 | + | 0.0358410i | ||||
\(681\) | −43.2052 | −1.65563 | ||||||||
\(682\) | −25.7633 | + | 25.7633i | −0.986527 | + | 0.986527i | ||||
\(683\) | 27.7814 | + | 3.13021i | 1.06303 | + | 0.119774i | 0.626115 | − | 0.779731i | \(-0.284644\pi\) |
0.436910 | + | 0.899505i | \(0.356073\pi\) | |||||||
\(684\) | 13.0792 | − | 6.29859i | 0.500094 | − | 0.240833i | ||||
\(685\) | 5.76831 | − | 34.2781i | 0.220396 | − | 1.30970i | ||||
\(686\) | −4.44694 | − | 19.4833i | −0.169785 | − | 0.743877i | ||||
\(687\) | −31.5481 | + | 31.5481i | −1.20363 | + | 1.20363i | ||||
\(688\) | −6.40328 | + | 1.41350i | −0.244123 | + | 0.0538893i | ||||
\(689\) | 3.13101i | 0.119282i | ||||||||
\(690\) | −4.57496 | − | 15.7861i | −0.174166 | − | 0.600968i | ||||
\(691\) | 33.3099 | + | 7.60277i | 1.26717 | + | 0.289223i | 0.802709 | − | 0.596371i | \(-0.203391\pi\) |
0.464460 | + | 0.885594i | \(0.346248\pi\) | |||||||
\(692\) | 0.434936 | + | 0.152191i | 0.0165338 | + | 0.00578542i | ||||
\(693\) | 2.61226 | − | 23.1845i | 0.0992317 | − | 0.880706i | ||||
\(694\) | − | 22.3567i | − | 0.848649i | ||||||
\(695\) | −4.04823 | + | 4.54442i | −0.153558 | + | 0.172380i | ||||
\(696\) | 15.6800 | − | 12.5044i | 0.594350 | − | 0.473978i | ||||
\(697\) | 8.05795 | + | 23.0283i | 0.305217 | + | 0.872259i | ||||
\(698\) | −2.31840 | − | 20.5763i | −0.0877526 | − | 0.778826i | ||||
\(699\) | −0.617566 | + | 1.28239i | −0.0233585 | + | 0.0485044i | ||||
\(700\) | −8.98892 | − | 4.29386i | −0.339749 | − | 0.162293i | ||||
\(701\) | 11.9439 | + | 14.9771i | 0.451114 | + | 0.565679i | 0.954434 | − | 0.298421i | \(-0.0964600\pi\) |
−0.503321 | + | 0.864100i | \(0.667889\pi\) | |||||||
\(702\) | −1.06381 | + | 1.69304i | −0.0401509 | + | 0.0638998i | ||||
\(703\) | 1.69742 | − | 4.85094i | 0.0640193 | − | 0.182957i | ||||
\(704\) | −4.11966 | − | 3.28532i | −0.155266 | − | 0.123820i | ||||
\(705\) | 8.47348 | + | 49.3980i | 0.319130 | + | 1.86044i | ||||
\(706\) | −5.08843 | − | 1.16140i | −0.191506 | − | 0.0437099i | ||||
\(707\) | 2.89314 | − | 8.26813i | 0.108808 | − | 0.310955i | ||||
\(708\) | 0.867723 | + | 2.47981i | 0.0326110 | + | 0.0931970i | ||||
\(709\) | −30.8410 | − | 7.03925i | −1.15826 | − | 0.264365i | −0.400122 | − | 0.916462i | \(-0.631032\pi\) |
−0.758135 | + | 0.652098i | \(0.773889\pi\) | |||||||
\(710\) | 4.61754 | + | 0.777038i | 0.173293 | + | 0.0291617i | ||||
\(711\) | 23.7806 | + | 11.4521i | 0.891843 | + | 0.429489i | ||||
\(712\) | 10.1411 | + | 3.54853i | 0.380054 | + | 0.132987i | ||||
\(713\) | 11.8324 | + | 18.8312i | 0.443128 | + | 0.705234i | ||||
\(714\) | 21.7749 | − | 27.3049i | 0.814906 | − | 1.02186i | ||||
\(715\) | −7.65461 | + | 10.8244i | −0.286266 | + | 0.404810i | ||||
\(716\) | −6.29410 | − | 13.0698i | −0.235221 | − | 0.488442i | ||||
\(717\) | −17.3923 | − | 10.9283i | −0.649526 | − | 0.408125i | ||||
\(718\) | −0.855617 | + | 7.59381i | −0.0319313 | + | 0.283398i | ||||
\(719\) | −28.3190 | + | 6.46363i | −1.05612 | + | 0.241053i | −0.715114 | − | 0.699008i | \(-0.753625\pi\) |
−0.341007 | + | 0.940061i | \(0.610768\pi\) | |||||||
\(720\) | 4.58812 | − | 1.90897i | 0.170989 | − | 0.0711431i | ||||
\(721\) | 20.3198 | + | 16.2045i | 0.756748 | + | 0.603487i | ||||
\(722\) | −22.3397 | + | 7.81701i | −0.831398 | + | 0.290919i | ||||
\(723\) | −25.2804 | − | 2.84841i | −0.940187 | − | 0.105934i | ||||
\(724\) | 1.52809i | 0.0567908i | ||||||||
\(725\) | −5.05095 | − | 43.5886i | −0.187588 | − | 1.61884i | ||||
\(726\) | −23.8873 | − | 29.9537i | −0.886540 | − | 1.11169i | ||||
\(727\) | −11.2211 | + | 32.0682i | −0.416169 | + | 1.18934i | 0.524911 | + | 0.851157i | \(0.324099\pi\) |
−0.941080 | + | 0.338185i | \(0.890187\pi\) | |||||||
\(728\) | 1.19271 | + | 1.89818i | 0.0442047 | + | 0.0703513i | ||||
\(729\) | 11.3668 | − | 2.59440i | 0.420992 | − | 0.0960887i | ||||
\(730\) | 23.8308 | + | 21.2288i | 0.882016 | + | 0.785712i | ||||
\(731\) | −42.3972 | − | 27.0639i | −1.56812 | − | 1.00099i | ||||
\(732\) | −1.69477 | − | 1.69477i | −0.0626406 | − | 0.0626406i | ||||
\(733\) | 8.47914 | − | 13.4945i | 0.313184 | − | 0.498430i | −0.652626 | − | 0.757680i | \(-0.726333\pi\) |
0.965810 | + | 0.259251i | \(0.0834756\pi\) | |||||||
\(734\) | −5.70844 | + | 25.0103i | −0.210702 | + | 0.923147i | ||||
\(735\) | 13.5416 | − | 7.51217i | 0.499489 | − | 0.277090i | ||||
\(736\) | −2.51468 | + | 2.00539i | −0.0926922 | + | 0.0739195i | ||||
\(737\) | 22.7342 | + | 22.7342i | 0.837424 | + | 0.837424i | ||||
\(738\) | 4.99832 | + | 4.99832i | 0.183991 | + | 0.183991i | ||||
\(739\) | −3.03941 | − | 3.81129i | −0.111806 | − | 0.140201i | 0.722779 | − | 0.691079i | \(-0.242864\pi\) |
−0.834586 | + | 0.550878i | \(0.814293\pi\) | |||||||
\(740\) | 0.670686 | − | 1.62645i | 0.0246549 | − | 0.0597896i | ||||
\(741\) | −10.4723 | + | 13.1318i | −0.384709 | + | 0.482410i | ||||
\(742\) | 1.83108 | + | 5.23293i | 0.0672211 | + | 0.192107i | ||||
\(743\) | −21.6783 | + | 34.5008i | −0.795299 | + | 1.26571i | 0.164877 | + | 0.986314i | \(0.447277\pi\) |
−0.960176 | + | 0.279396i | \(0.909866\pi\) | |||||||
\(744\) | −12.3542 | + | 9.85215i | −0.452927 | + | 0.361198i | ||||
\(745\) | 9.13410 | − | 16.5888i | 0.334648 | − | 0.607768i | ||||
\(746\) | −11.5703 | + | 5.57197i | −0.423619 | + | 0.204004i | ||||
\(747\) | 15.3687 | − | 1.73163i | 0.562310 | − | 0.0633571i | ||||
\(748\) | −4.52536 | − | 40.1637i | −0.165463 | − | 1.46853i | ||||
\(749\) | 1.22634 | − | 5.37294i | 0.0448095 | − | 0.196323i | ||||
\(750\) | 4.16019 | − | 25.2089i | 0.151909 | − | 0.920501i | ||||
\(751\) | 0.805934 | − | 1.67354i | 0.0294090 | − | 0.0610683i | −0.885747 | − | 0.464169i | \(-0.846353\pi\) |
0.915156 | + | 0.403100i | \(0.132067\pi\) | |||||||
\(752\) | 8.30480 | − | 5.21825i | 0.302845 | − | 0.190290i | ||||
\(753\) | −23.0218 | + | 14.4655i | −0.838960 | + | 0.527153i | ||||
\(754\) | −4.28450 | + | 8.89685i | −0.156032 | + | 0.324004i | ||||
\(755\) | −1.60831 | + | 5.61596i | −0.0585325 | + | 0.204386i | ||||
\(756\) | −0.787840 | + | 3.45175i | −0.0286535 | + | 0.125539i | ||||
\(757\) | −4.42577 | − | 39.2798i | −0.160857 | − | 1.42765i | −0.771745 | − | 0.635932i | \(-0.780616\pi\) |
0.610887 | − | 0.791717i | \(-0.290813\pi\) | |||||||
\(758\) | −2.01961 | + | 0.227555i | −0.0733554 | + | 0.00826517i | ||||
\(759\) | −34.8949 | + | 16.8045i | −1.26660 | + | 0.609964i | ||||
\(760\) | −14.0289 | + | 4.06570i | −0.508881 | + | 0.147478i | ||||
\(761\) | 23.0787 | − | 18.4046i | 0.836601 | − | 0.667167i | −0.108446 | − | 0.994102i | \(-0.534587\pi\) |
0.945047 | + | 0.326936i | \(0.106016\pi\) | |||||||
\(762\) | 15.2269 | − | 24.2335i | 0.551612 | − | 0.877886i | ||||
\(763\) | −9.28495 | − | 26.5348i | −0.336138 | − | 0.960626i | ||||
\(764\) | 5.18993 | − | 6.50797i | 0.187765 | − | 0.235450i | ||||
\(765\) | 35.2393 | + | 14.5314i | 1.27408 | + | 0.525382i | ||||
\(766\) | 15.0278 | + | 18.8443i | 0.542977 | + | 0.680871i | ||||
\(767\) | −0.914698 | − | 0.914698i | −0.0330278 | − | 0.0330278i | ||||
\(768\) | −1.61592 | − | 1.61592i | −0.0583094 | − | 0.0583094i | ||||
\(769\) | −31.3266 | + | 24.9821i | −1.12967 | + | 0.900879i | −0.995929 | − | 0.0901375i | \(-0.971269\pi\) |
−0.133738 | + | 0.991017i | \(0.542698\pi\) | |||||||
\(770\) | −6.46298 | + | 22.5676i | −0.232909 | + | 0.813281i | ||||
\(771\) | −8.67187 | + | 37.9939i | −0.312310 | + | 1.36832i | ||||
\(772\) | −2.74541 | + | 4.36930i | −0.0988096 | + | 0.157255i | ||||
\(773\) | −1.87093 | − | 1.87093i | −0.0672927 | − | 0.0672927i | 0.672659 | − | 0.739952i | \(-0.265152\pi\) |
−0.739952 | + | 0.672659i | \(0.765152\pi\) | |||||||
\(774\) | −14.4695 | − | 1.73499i | −0.520096 | − | 0.0623628i | ||||
\(775\) | 3.97962 | + | 34.3432i | 0.142952 | + | 1.23364i | ||||
\(776\) | 11.3342 | − | 2.58695i | 0.406874 | − | 0.0928662i | ||||
\(777\) | −1.90589 | − | 3.03321i | −0.0683735 | − | 0.108816i | ||||
\(778\) | −0.117800 | + | 0.336653i | −0.00422333 | + | 0.0120696i | ||||
\(779\) | −12.9539 | − | 16.2436i | −0.464120 | − | 0.581989i | ||||
\(780\) | −3.82452 | + | 4.29329i | −0.136940 | + | 0.153724i | ||||
\(781\) | − | 11.0341i | − | 0.394832i | ||||||
\(782\) | −24.5162 | − | 2.76231i | −0.876698 | − | 0.0987802i | ||||
\(783\) | −14.7203 | + | 5.15085i | −0.526060 | + | 0.184076i | ||||
\(784\) | −2.36933 | − | 1.88948i | −0.0846188 | − | 0.0674813i | ||||
\(785\) | −39.1947 | − | 16.1624i | −1.39892 | − | 0.576860i | ||||
\(786\) | −5.19199 | + | 1.18504i | −0.185192 | + | 0.0422689i | ||||
\(787\) | 1.34103 | − | 11.9020i | 0.0478026 | − | 0.424260i | −0.946905 | − | 0.321514i | \(-0.895808\pi\) |
0.994708 | − | 0.102746i | \(-0.0327630\pi\) | |||||||
\(788\) | 0.939755 | + | 0.590487i | 0.0334774 | + | 0.0210352i | ||||
\(789\) | −6.01475 | − | 12.4897i | −0.214131 | − | 0.444647i | ||||
\(790\) | −21.6831 | − | 15.3335i | −0.771451 | − | 0.545541i | ||||
\(791\) | −15.1835 | + | 19.0394i | −0.539861 | + | 0.676965i | ||||
\(792\) | −6.23026 | − | 9.91540i | −0.221383 | − | 0.352328i | ||||
\(793\) | 1.11388 | + | 0.389763i | 0.0395550 | + | 0.0138409i | ||||
\(794\) | 34.7792 | + | 16.7488i | 1.23427 | + | 0.594393i | ||||
\(795\) | −11.5836 | + | 8.24661i | −0.410830 | + | 0.292477i | ||||
\(796\) | 9.17930 | + | 2.09511i | 0.325352 | + | 0.0742594i | ||||
\(797\) | 18.5370 | + | 52.9756i | 0.656613 | + | 1.87649i | 0.431307 | + | 0.902205i | \(0.358053\pi\) |
0.225306 | + | 0.974288i | \(0.427662\pi\) | |||||||
\(798\) | −9.82279 | + | 28.0719i | −0.347723 | + | 0.993735i | ||||
\(799\) | 73.3473 | + | 16.7410i | 2.59484 | + | 0.592255i | ||||
\(800\) | −4.87110 | + | 1.12802i | −0.172219 | + | 0.0398816i | ||||
\(801\) | 18.6681 | + | 14.8873i | 0.659604 | + | 0.526017i | ||||
\(802\) | 0.0686311 | − | 0.196136i | 0.00242345 | − | 0.00692581i | ||||
\(803\) | 40.0125 | − | 63.6796i | 1.41201 | − | 2.24720i | ||||
\(804\) | 8.69379 | + | 10.9017i | 0.306606 | + | 0.384472i | ||||
\(805\) | 12.5522 | + | 6.91147i | 0.442408 | + | 0.243597i | ||||
\(806\) | 3.37573 | − | 7.00978i | 0.118905 | − | 0.246909i | ||||
\(807\) | −0.418406 | − | 3.71346i | −0.0147286 | − | 0.130720i | ||||
\(808\) | −1.45212 | − | 4.14991i | −0.0510853 | − | 0.145993i | ||||
\(809\) | 0.322240 | − | 0.256978i | 0.0113294 | − | 0.00903486i | −0.617809 | − | 0.786328i | \(-0.711979\pi\) |
0.629138 | + | 0.777294i | \(0.283408\pi\) | |||||||
\(810\) | −23.9490 | + | 1.38295i | −0.841482 | + | 0.0485920i | ||||
\(811\) | 13.6626i | 0.479757i | 0.970803 | + | 0.239879i | \(0.0771077\pi\) | ||||
−0.970803 | + | 0.239879i | \(0.922892\pi\) | |||||||
\(812\) | −1.95771 | + | 17.3752i | −0.0687021 | + | 0.609748i | ||||
\(813\) | 2.88904 | + | 1.01092i | 0.101323 | + | 0.0354544i | ||||
\(814\) | −4.04183 | − | 0.922522i | −0.141666 | − | 0.0323344i | ||||
\(815\) | 41.1227 | − | 11.9177i | 1.44046 | − | 0.417459i | ||||
\(816\) | − | 17.5291i | − | 0.613640i | ||||||
\(817\) | 41.6906 | + | 9.82917i | 1.45857 | + | 0.343879i | ||||
\(818\) | −25.2210 | + | 25.2210i | −0.881830 | + | 0.881830i | ||||
\(819\) | 1.10863 | + | 4.85722i | 0.0387386 | + | 0.169725i | ||||
\(820\) | −4.12480 | − | 5.79392i | −0.144044 | − | 0.202333i | ||||
\(821\) | −10.7877 | + | 5.19507i | −0.376492 | + | 0.181309i | −0.612554 | − | 0.790429i | \(-0.709858\pi\) |
0.236061 | + | 0.971738i | \(0.424143\pi\) | |||||||
\(822\) | −35.3013 | − | 3.97750i | −1.23127 | − | 0.138731i | ||||
\(823\) | −26.0996 | + | 26.0996i | −0.909776 | + | 0.909776i | −0.996254 | − | 0.0864779i | \(-0.972439\pi\) |
0.0864779 | + | 0.996254i | \(0.472439\pi\) | |||||||
\(824\) | 13.0448 | 0.454437 | ||||||||
\(825\) | −60.2075 | + | 0.190476i | −2.09616 | + | 0.00663152i | ||||
\(826\) | −2.06369 | − | 0.993820i | −0.0718049 | − | 0.0345794i | ||||
\(827\) | 28.3295 | − | 3.19197i | 0.985114 | − | 0.110996i | 0.395315 | − | 0.918546i | \(-0.370635\pi\) |
0.589799 | + | 0.807550i | \(0.299207\pi\) | |||||||
\(828\) | −6.74694 | + | 2.36086i | −0.234472 | + | 0.0820454i | ||||
\(829\) | −4.59653 | − | 20.1387i | −0.159644 | − | 0.699446i | −0.989865 | − | 0.142011i | \(-0.954643\pi\) |
0.830221 | − | 0.557434i | \(-0.188214\pi\) | |||||||
\(830\) | −15.5380 | − | 0.847941i | −0.539332 | − | 0.0294325i | ||||
\(831\) | −10.3544 | − | 45.3655i | −0.359189 | − | 1.57371i | ||||
\(832\) | 1.06205 | + | 0.371628i | 0.0368200 | + | 0.0128839i | ||||
\(833\) | −2.60265 | − | 23.0992i | −0.0901766 | − | 0.800339i | ||||
\(834\) | 4.86293 | + | 3.87806i | 0.168389 | + | 0.134286i | ||||
\(835\) | −23.5997 | − | 3.97134i | −0.816700 | − | 0.137434i | ||||
\(836\) | 14.9339 | + | 31.0105i | 0.516499 | + | 1.07252i | ||||
\(837\) | 11.5980 | − | 4.05833i | 0.400887 | − | 0.140276i | ||||
\(838\) | 11.7475 | + | 18.6961i | 0.405811 | + | 0.645845i | ||||
\(839\) | 1.86383 | − | 8.16597i | 0.0643466 | − | 0.281921i | −0.932510 | − | 0.361143i | \(-0.882387\pi\) |
0.996857 | + | 0.0792224i | \(0.0252437\pi\) | |||||||
\(840\) | −3.88120 | + | 9.41212i | −0.133914 | + | 0.324749i | ||||
\(841\) | −43.2637 | + | 20.8347i | −1.49185 | + | 0.718438i | ||||
\(842\) | 21.0101 | − | 13.2015i | 0.724057 | − | 0.454955i | ||||
\(843\) | −37.3622 | + | 4.20971i | −1.28682 | + | 0.144990i | ||||
\(844\) | 8.53270 | − | 10.6997i | 0.293707 | − | 0.368298i | ||||
\(845\) | −7.22369 | + | 25.2239i | −0.248502 | + | 0.867728i | ||||
\(846\) | 21.2510 | − | 4.85040i | 0.730624 | − | 0.166760i | ||||
\(847\) | 33.1919 | + | 3.73983i | 1.14049 | + | 0.128502i | ||||
\(848\) | 2.35613 | + | 1.48046i | 0.0809099 | + | 0.0508391i | ||||
\(849\) | 9.50929 | + | 4.57943i | 0.326358 | + | 0.157166i | ||||
\(850\) | −32.5384 | − | 20.3019i | −1.11606 | − | 0.696351i | ||||
\(851\) | −1.09799 | + | 2.28000i | −0.0376387 | + | 0.0781575i | ||||
\(852\) | 0.535802 | − | 4.75537i | 0.0183563 | − | 0.162916i | ||||
\(853\) | 25.7765 | − | 25.7765i | 0.882570 | − | 0.882570i | −0.111225 | − | 0.993795i | \(-0.535477\pi\) |
0.993795 | + | 0.111225i | \(0.0354775\pi\) | |||||||
\(854\) | 2.08959 | 0.0715043 | ||||||||
\(855\) | −32.4123 | − | 1.76881i | −1.10848 | − | 0.0604919i | ||||
\(856\) | −1.20017 | − | 2.49219i | −0.0410211 | − | 0.0851813i | ||||
\(857\) | −23.6025 | + | 14.8304i | −0.806246 | + | 0.506598i | −0.870988 | − | 0.491304i | \(-0.836520\pi\) |
0.0647419 | + | 0.997902i | \(0.479378\pi\) | |||||||
\(858\) | 11.4723 | + | 7.20855i | 0.391659 | + | 0.246096i | ||||
\(859\) | −51.3112 | −1.75072 | −0.875358 | − | 0.483475i | \(-0.839374\pi\) | ||||
−0.875358 | + | 0.483475i | \(0.839374\pi\) | |||||||
\(860\) | 14.0670 | + | 4.13741i | 0.479682 | + | 0.141085i | ||||
\(861\) | −14.4818 | −0.493539 | ||||||||
\(862\) | −11.0566 | − | 6.94731i | −0.376588 | − | 0.236626i | ||||
\(863\) | 26.6203 | − | 16.7267i | 0.906166 | − | 0.569382i | 0.00362891 | − | 0.999993i | \(-0.498845\pi\) |
0.902537 | + | 0.430611i | \(0.141702\pi\) | |||||||
\(864\) | 0.771031 | + | 1.60106i | 0.0262310 | + | 0.0544693i | ||||
\(865\) | −0.687795 | − | 0.767198i | −0.0233857 | − | 0.0260855i | ||||
\(866\) | 11.0324 | 0.374895 | ||||||||
\(867\) | 67.6047 | − | 67.6047i | 2.29598 | − | 2.29598i | ||||
\(868\) | 1.54247 | − | 13.6898i | 0.0523548 | − | 0.464662i | ||||
\(869\) | −27.1529 | + | 56.3836i | −0.921099 | + | 1.91268i | ||||
\(870\) | −44.1999 | + | 7.58182i | −1.49852 | + | 0.257048i | ||||
\(871\) | −6.18561 | − | 2.97883i | −0.209591 | − | 0.100934i | ||||
\(872\) | −11.9473 | − | 7.50702i | −0.404588 | − | 0.254220i | ||||
\(873\) | 25.6743 | + | 2.89279i | 0.868942 | + | 0.0979062i | ||||
\(874\) | 20.4829 | − | 4.67509i | 0.692845 | − | 0.158137i | ||||
\(875\) | 12.9761 | + | 18.1055i | 0.438674 | + | 0.612078i | ||||
\(876\) | 20.3364 | − | 25.5010i | 0.687102 | − | 0.861599i | ||||
\(877\) | −48.5957 | + | 5.47542i | −1.64096 | + | 0.184892i | −0.883645 | − | 0.468157i | \(-0.844918\pi\) |
−0.757316 | + | 0.653049i | \(0.773490\pi\) | |||||||
\(878\) | −19.7139 | + | 12.3871i | −0.665313 | + | 0.418044i | ||||
\(879\) | 9.13494 | − | 4.39915i | 0.308114 | − | 0.148380i | ||||
\(880\) | 4.52614 | + | 10.8784i | 0.152576 | + | 0.366710i | ||||
\(881\) | 11.7937 | − | 51.6716i | 0.397340 | − | 1.74086i | −0.240462 | − | 0.970659i | \(-0.577299\pi\) |
0.637802 | − | 0.770200i | \(-0.279844\pi\) | |||||||
\(882\) | −3.58319 | − | 5.70261i | −0.120652 | − | 0.192017i | ||||
\(883\) | 22.4602 | − | 7.85915i | 0.755844 | − | 0.264481i | 0.0752728 | − | 0.997163i | \(-0.476017\pi\) |
0.680572 | + | 0.732682i | \(0.261732\pi\) | |||||||
\(884\) | 3.74477 | + | 7.77609i | 0.125950 | + | 0.261538i | ||||
\(885\) | 0.974885 | − | 5.79324i | 0.0327704 | − | 0.194738i | ||||
\(886\) | −1.33171 | − | 1.06201i | −0.0447398 | − | 0.0356788i | ||||
\(887\) | 2.15071 | + | 19.0880i | 0.0722136 | + | 0.640914i | 0.976730 | + | 0.214474i | \(0.0688037\pi\) |
−0.904516 | + | 0.426440i | \(0.859768\pi\) | |||||||
\(888\) | −1.69711 | − | 0.593844i | −0.0569513 | − | 0.0199281i | ||||
\(889\) | 5.55237 | + | 24.3265i | 0.186221 | + | 0.815886i | ||||
\(890\) | −16.0369 | − | 17.8882i | −0.537557 | − | 0.599615i | ||||
\(891\) | 12.5790 | + | 55.1120i | 0.421411 | + | 1.84632i | ||||
\(892\) | 28.1053 | − | 9.83445i | 0.941034 | − | 0.329282i | ||||
\(893\) | −63.6647 | + | 7.17329i | −2.13046 | + | 0.240045i | ||||
\(894\) | −17.4372 | − | 8.39733i | −0.583188 | − | 0.280849i | ||||
\(895\) | −1.76754 | + | 32.3891i | −0.0590825 | + | 1.08265i | ||||
\(896\) | 1.99236 | 0.0665602 | ||||||||
\(897\) | 5.84811 | − | 5.84811i | 0.195263 | − | 0.195263i | ||||
\(898\) | −8.87044 | − | 0.999459i | −0.296011 | − | 0.0333524i | ||||
\(899\) | 54.6734 | − | 26.3293i | 1.82346 | − | 0.878133i | ||||
\(900\) | −11.0459 | − | 1.20920i | −0.368198 | − | 0.0403067i | ||||
\(901\) | 4.74955 | + | 20.8091i | 0.158231 | + | 0.693253i | ||||
\(902\) | −11.8509 | + | 11.8509i | −0.394593 | + | 0.394593i | ||||
\(903\) | 23.4749 | − | 18.4481i | 0.781197 | − | 0.613914i | ||||
\(904\) | 12.2228i | 0.406526i | ||||||||
\(905\) | 1.64809 | − | 2.99316i | 0.0547843 | − | 0.0994961i | ||||
\(906\) | 5.82053 | + | 1.32850i | 0.193374 | + | 0.0441364i | ||||
\(907\) | 15.7468 | + | 5.51004i | 0.522864 | + | 0.182958i | 0.578789 | − | 0.815477i | \(-0.303525\pi\) |
−0.0559259 | + | 0.998435i | \(0.517811\pi\) | |||||||
\(908\) | 2.11681 | − | 18.7872i | 0.0702488 | − | 0.623475i | ||||
\(909\) | − | 9.77102i | − | 0.324084i | ||||||
\(910\) | −0.288987 | − | 5.00447i | −0.00957982 | − | 0.165897i | ||||
\(911\) | 26.2335 | − | 20.9205i | 0.869156 | − | 0.693129i | −0.0837200 | − | 0.996489i | \(-0.526680\pi\) |
0.952876 | + | 0.303361i | \(0.0981087\pi\) | |||||||
\(912\) | 4.93022 | + | 14.0898i | 0.163256 | + | 0.466558i | ||||
\(913\) | 4.10567 | + | 36.4389i | 0.135878 | + | 1.20595i | ||||
\(914\) | 8.98830 | − | 18.6644i | 0.297306 | − | 0.617363i | ||||
\(915\) | 1.49180 | + | 5.14753i | 0.0493174 | + | 0.170172i | ||||
\(916\) | −12.1726 | − | 15.2639i | −0.402194 | − | 0.504335i | ||||
\(917\) | 2.47021 | − | 3.93132i | 0.0815735 | − | 0.129823i | ||||
\(918\) | −4.50198 | + | 12.8659i | −0.148588 | + | 0.424639i | ||||
\(919\) | 10.9939 | + | 8.76733i | 0.362655 | + | 0.289208i | 0.787817 | − | 0.615910i | \(-0.211211\pi\) |
−0.425162 | + | 0.905117i | \(0.639783\pi\) | |||||||
\(920\) | 7.08854 | − | 1.21593i | 0.233702 | − | 0.0400880i | ||||
\(921\) | −36.4275 | − | 8.31435i | −1.20033 | − | 0.273967i | ||||
\(922\) | 4.23757 | − | 12.1103i | 0.139557 | − | 0.398831i | ||||
\(923\) | 0.778211 | + | 2.22400i | 0.0256151 | + | 0.0732039i | ||||
\(924\) | 23.3897 | + | 5.33854i | 0.769464 | + | 0.175625i | ||||
\(925\) | −3.06790 | + | 2.46249i | −0.100872 | + | 0.0809660i | ||||
\(926\) | 1.04367 | + | 0.502606i | 0.0342972 | + | 0.0165167i | ||||
\(927\) | 27.3637 | + | 9.57497i | 0.898742 | + | 0.314483i | ||||
\(928\) | 4.66914 | + | 7.43090i | 0.153272 | + | 0.243931i | ||||
\(929\) | 33.2339 | − | 41.6740i | 1.09037 | − | 1.36728i | 0.165846 | − | 0.986152i | \(-0.446965\pi\) |
0.924523 | − | 0.381127i | \(-0.124464\pi\) | |||||||
\(930\) | 34.8249 | − | 5.97368i | 1.14195 | − | 0.195885i | ||||
\(931\) | 8.58887 | + | 17.8350i | 0.281489 | + | 0.584517i | ||||
\(932\) | −0.527373 | − | 0.331370i | −0.0172747 | − | 0.0108544i | ||||
\(933\) | −6.06335 | + | 53.8137i | −0.198505 | + | 1.76178i | ||||
\(934\) | −20.8567 | + | 4.76040i | −0.682452 | + | 0.155765i | ||||
\(935\) | −34.4536 | + | 83.5520i | −1.12675 | + | 2.73244i | ||||
\(936\) | 1.95506 | + | 1.55911i | 0.0639031 | + | 0.0509610i | ||||
\(937\) | 2.12388 | − | 0.743178i | 0.0693841 | − | 0.0242786i | −0.295364 | − | 0.955385i | \(-0.595441\pi\) |
0.364748 | + | 0.931106i | \(0.381155\pi\) | |||||||
\(938\) | −12.0802 | − | 1.36111i | −0.394433 | − | 0.0444419i | ||||
\(939\) | 46.9957i | 1.53365i | ||||||||
\(940\) | −21.8952 | + | 1.26436i | −0.714143 | + | 0.0412387i | ||||
\(941\) | 31.4907 | + | 39.4881i | 1.02657 | + | 1.28728i | 0.957121 | + | 0.289690i | \(0.0935522\pi\) |
0.0694476 | + | 0.997586i | \(0.477876\pi\) | |||||||
\(942\) | −14.3106 | + | 40.8974i | −0.466265 | + | 1.33251i | ||||
\(943\) | 5.44285 | + | 8.66224i | 0.177243 | + | 0.282081i | ||||
\(944\) | −1.12083 | + | 0.255821i | −0.0364798 | + | 0.00832627i | ||||
\(945\) | 5.26602 | − | 5.91147i | 0.171304 | − | 0.192300i | ||||
\(946\) | 4.11363 | − | 34.3070i | 0.133746 | − | 1.11542i | ||||
\(947\) | −15.7833 | − | 15.7833i | −0.512888 | − | 0.512888i | 0.402522 | − | 0.915410i | \(-0.368134\pi\) |
−0.915410 | + | 0.402522i | \(0.868134\pi\) | |||||||
\(948\) | −14.4400 | + | 22.9811i | −0.468989 | + | 0.746391i | ||||
\(949\) | −3.57361 | + | 15.6570i | −0.116004 | + | 0.508249i | ||||
\(950\) | 31.8643 | + | 7.16684i | 1.03381 | + | 0.232523i | ||||
\(951\) | −4.71491 | + | 3.76001i | −0.152891 | + | 0.121927i | ||||
\(952\) | 10.8063 | + | 10.8063i | 0.350235 | + | 0.350235i | ||||
\(953\) | −0.273489 | − | 0.273489i | −0.00885919 | − | 0.00885919i | 0.702663 | − | 0.711523i | \(-0.251994\pi\) |
−0.711523 | + | 0.702663i | \(0.751994\pi\) | |||||||
\(954\) | 3.85573 | + | 4.83493i | 0.124834 | + | 0.156537i | ||||
\(955\) | −17.1849 | + | 7.15009i | −0.556091 | + | 0.231372i | ||||
\(956\) | 5.60414 | − | 7.02738i | 0.181251 | − | 0.227282i | ||||
\(957\) | 34.9030 | + | 99.7472i | 1.12826 | + | 3.22437i | ||||
\(958\) | −6.19397 | + | 9.85764i | −0.200118 | + | 0.318486i | ||||
\(959\) | 24.2146 | − | 19.3105i | 0.781930 | − | 0.623568i | ||||
\(960\) | 1.42239 | + | 4.90803i | 0.0459074 | + | 0.158406i | ||||
\(961\) | −15.1469 | + | 7.29435i | −0.488609 | + | 0.235302i | ||||
\(962\) | 0.879721 | − | 0.0991207i | 0.0283633 | − | 0.00319578i | ||||
\(963\) | −0.688289 | − | 6.10873i | −0.0221798 | − | 0.196851i | ||||
\(964\) | 2.47719 | − | 10.8533i | 0.0797849 | − | 0.349561i | ||||
\(965\) | 10.0901 | − | 5.59743i | 0.324810 | − | 0.180188i | ||||
\(966\) | 6.35397 | − | 13.1942i | 0.204436 | − | 0.424515i | ||||
\(967\) | −15.2389 | + | 9.57523i | −0.490049 | + | 0.307918i | −0.754294 | − | 0.656537i | \(-0.772020\pi\) |
0.264244 | + | 0.964456i | \(0.414878\pi\) | |||||||
\(968\) | 14.1953 | − | 8.91950i | 0.456254 | − | 0.286684i | ||||
\(969\) | −49.6801 | + | 103.162i | −1.59595 | + | 3.31403i | ||||
\(970\) | −24.9911 | − | 7.15703i | −0.802417 | − | 0.229798i | ||||
\(971\) | 8.98202 | − | 39.3528i | 0.288247 | − | 1.26289i | −0.598682 | − | 0.800987i | \(-0.704309\pi\) |
0.886929 | − | 0.461906i | \(-0.152834\pi\) | |||||||
\(972\) | 2.14809 | + | 19.0648i | 0.0688999 | + | 0.611504i | ||||
\(973\) | −5.38865 | + | 0.607155i | −0.172752 | + | 0.0194645i | ||||
\(974\) | 8.46240 | − | 4.07527i | 0.271153 | − | 0.130580i | ||||
\(975\) | 12.1218 | − | 4.28469i | 0.388208 | − | 0.137220i | ||||
\(976\) | 0.819984 | − | 0.653915i | 0.0262470 | − | 0.0209313i | ||||
\(977\) | 26.5616 | − | 42.2725i | 0.849779 | − | 1.35242i | −0.0847028 | − | 0.996406i | \(-0.526994\pi\) |
0.934482 | − | 0.356010i | \(-0.115863\pi\) | |||||||
\(978\) | −14.4519 | − | 41.3011i | −0.462120 | − | 1.32066i | ||||
\(979\) | −35.2976 | + | 44.2618i | −1.12812 | + | 1.41461i | ||||
\(980\) | 2.60310 | + | 6.25644i | 0.0831531 | + | 0.199855i | ||||
\(981\) | −19.5514 | − | 24.5167i | −0.624229 | − | 0.782758i | ||||
\(982\) | −21.3527 | − | 21.3527i | −0.681392 | − | 0.681392i | ||||
\(983\) | −19.4499 | − | 19.4499i | −0.620355 | − | 0.620355i | 0.325267 | − | 0.945622i | \(-0.394546\pi\) |
−0.945622 | + | 0.325267i | \(0.894546\pi\) | |||||||
\(984\) | −5.68286 | + | 4.53193i | −0.181163 | + | 0.144473i | ||||
\(985\) | −1.20390 | − | 2.17018i | −0.0383595 | − | 0.0691478i | ||||
\(986\) | −14.9794 | + | 65.6290i | −0.477041 | + | 2.09005i | ||||
\(987\) | −23.7590 | + | 37.8122i | −0.756258 | + | 1.20358i | ||||
\(988\) | −5.19712 | − | 5.19712i | −0.165342 | − | 0.165342i | ||||
\(989\) | −19.8575 | − | 7.10791i | −0.631431 | − | 0.226018i | ||||
\(990\) | 1.50956 | + | 26.1415i | 0.0479769 | + | 0.830831i | ||||
\(991\) | 18.8457 | − | 4.30142i | 0.598655 | − | 0.136639i | 0.0875538 | − | 0.996160i | \(-0.472095\pi\) |
0.511101 | + | 0.859521i | \(0.329238\pi\) | |||||||
\(992\) | −3.67879 | − | 5.85476i | −0.116802 | − | 0.185889i | ||||
\(993\) | 5.68147 | − | 16.2367i | 0.180296 | − | 0.515257i | ||||
\(994\) | 2.60128 | + | 3.26190i | 0.0825076 | + | 0.103461i | ||||
\(995\) | −15.7205 | − | 14.0040i | −0.498372 | − | 0.443957i | ||||
\(996\) | 15.9034i | 0.503919i | ||||||||
\(997\) | 8.82608 | + | 0.994461i | 0.279525 | + | 0.0314949i | 0.250614 | − | 0.968087i | \(-0.419368\pi\) |
0.0289109 | + | 0.999582i | \(0.490796\pi\) | |||||||
\(998\) | 38.6564 | − | 13.5264i | 1.22365 | − | 0.428172i | ||||
\(999\) | 1.09312 | + | 0.871736i | 0.0345849 | + | 0.0275805i |
(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 | 430.2.r.a.27.9 | ✓ | 264 | |
5.3 | odd | 4 | inner | 430.2.r.a.113.9 | yes | 264 | |
43.8 | odd | 14 | inner | 430.2.r.a.137.9 | yes | 264 | |
215.8 | even | 28 | inner | 430.2.r.a.223.9 | yes | 264 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.r.a.27.9 | ✓ | 264 | 1.1 | even | 1 | trivial | |
430.2.r.a.113.9 | yes | 264 | 5.3 | odd | 4 | inner | |
430.2.r.a.137.9 | yes | 264 | 43.8 | odd | 14 | inner | |
430.2.r.a.223.9 | yes | 264 | 215.8 | even | 28 | inner |