Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(157,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.157");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.cg (of order \(12\), degree \(4\), 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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 157.9 | ||
Character | \(\chi\) | \(=\) | 315.157 |
Dual form | 315.2.cg.e.313.9 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.84711 | + | 0.494931i | −1.30610 | + | 0.349969i | −0.843754 | − | 0.536730i | \(-0.819660\pi\) |
−0.462348 | + | 0.886699i | \(0.652993\pi\) | |||||||
\(3\) | 1.20304 | − | 1.24607i | 0.694577 | − | 0.719418i | ||||
\(4\) | 1.43480 | − | 0.828381i | 0.717399 | − | 0.414190i | ||||
\(5\) | 2.21218 | + | 0.325952i | 0.989318 | + | 0.145770i | ||||
\(6\) | −1.60543 | + | 2.89705i | −0.655414 | + | 1.18271i | ||||
\(7\) | −1.00496 | − | 2.44746i | −0.379840 | − | 0.925052i | ||||
\(8\) | 0.464119 | − | 0.464119i | 0.164091 | − | 0.164091i | ||||
\(9\) | −0.105377 | − | 2.99815i | −0.0351257 | − | 0.999383i | ||||
\(10\) | −4.24746 | + | 0.492809i | −1.34317 | + | 0.155840i | ||||
\(11\) | 3.38933 | 1.02192 | 0.510961 | − | 0.859604i | \(-0.329290\pi\) | ||||
0.510961 | + | 0.859604i | \(0.329290\pi\) | |||||||
\(12\) | 0.693903 | − | 2.78443i | 0.200313 | − | 0.803797i | ||||
\(13\) | −4.43321 | + | 1.18788i | −1.22955 | + | 0.329457i | −0.814405 | − | 0.580297i | \(-0.802937\pi\) |
−0.415147 | + | 0.909754i | \(0.636270\pi\) | |||||||
\(14\) | 3.06760 | + | 4.02333i | 0.819849 | + | 1.07528i | ||||
\(15\) | 3.06751 | − | 2.36440i | 0.792028 | − | 0.610485i | ||||
\(16\) | −2.28433 | + | 3.95658i | −0.571083 | + | 0.989145i | ||||
\(17\) | −0.125117 | − | 0.466944i | −0.0303454 | − | 0.113250i | 0.949092 | − | 0.314999i | \(-0.102004\pi\) |
−0.979437 | + | 0.201749i | \(0.935338\pi\) | |||||||
\(18\) | 1.67852 | + | 5.48575i | 0.395631 | + | 1.29300i | ||||
\(19\) | −1.16611 | − | 2.01977i | −0.267524 | − | 0.463366i | 0.700698 | − | 0.713458i | \(-0.252872\pi\) |
−0.968222 | + | 0.250093i | \(0.919539\pi\) | |||||||
\(20\) | 3.44405 | − | 1.36485i | 0.770113 | − | 0.305191i | ||||
\(21\) | −4.25871 | − | 1.69214i | −0.929328 | − | 0.369256i | ||||
\(22\) | −6.26046 | + | 1.67749i | −1.33473 | + | 0.357641i | ||||
\(23\) | 3.42253 | − | 3.42253i | 0.713647 | − | 0.713647i | −0.253650 | − | 0.967296i | \(-0.581631\pi\) |
0.967296 | + | 0.253650i | \(0.0816310\pi\) | |||||||
\(24\) | −0.0199695 | − | 1.13668i | −0.00407625 | − | 0.232024i | ||||
\(25\) | 4.78751 | + | 1.44213i | 0.957502 | + | 0.288427i | ||||
\(26\) | 7.60070 | − | 4.38827i | 1.49062 | − | 0.860610i | ||||
\(27\) | −3.86267 | − | 3.47559i | −0.743372 | − | 0.668878i | ||||
\(28\) | −3.46934 | − | 2.67912i | −0.655645 | − | 0.506305i | ||||
\(29\) | −5.55585 | + | 3.20767i | −1.03170 | + | 0.595650i | −0.917470 | − | 0.397805i | \(-0.869772\pi\) |
−0.114226 | + | 0.993455i | \(0.536439\pi\) | |||||||
\(30\) | −4.49581 | + | 5.88550i | −0.820818 | + | 1.07454i | ||||
\(31\) | 3.15608 | − | 1.82216i | 0.566849 | − | 0.327270i | −0.189041 | − | 0.981969i | \(-0.560538\pi\) |
0.755890 | + | 0.654699i | \(0.227205\pi\) | |||||||
\(32\) | 1.92141 | − | 7.17082i | 0.339661 | − | 1.26763i | ||||
\(33\) | 4.07751 | − | 4.22334i | 0.709804 | − | 0.735190i | ||||
\(34\) | 0.462210 | + | 0.800571i | 0.0792683 | + | 0.137297i | ||||
\(35\) | −1.42541 | − | 5.74180i | −0.240938 | − | 0.970541i | ||||
\(36\) | −2.63480 | − | 4.21444i | −0.439134 | − | 0.702407i | ||||
\(37\) | 2.86315 | − | 10.6854i | 0.470699 | − | 1.75667i | −0.166566 | − | 0.986030i | \(-0.553268\pi\) |
0.637266 | − | 0.770644i | \(-0.280065\pi\) | |||||||
\(38\) | 3.15358 | + | 3.15358i | 0.511578 | + | 0.511578i | ||||
\(39\) | −3.85317 | + | 6.95316i | −0.617001 | + | 1.11340i | ||||
\(40\) | 1.17800 | − | 0.875435i | 0.186258 | − | 0.138418i | ||||
\(41\) | 10.8169 | + | 6.24515i | 1.68932 | + | 0.975328i | 0.955039 | + | 0.296482i | \(0.0958134\pi\) |
0.734280 | + | 0.678847i | \(0.237520\pi\) | |||||||
\(42\) | 8.70380 | + | 1.01780i | 1.34302 | + | 0.157050i | ||||
\(43\) | 3.25803 | + | 0.872985i | 0.496844 | + | 0.133129i | 0.498535 | − | 0.866870i | \(-0.333872\pi\) |
−0.00169078 | + | 0.999999i | \(0.500538\pi\) | |||||||
\(44\) | 4.86301 | − | 2.80766i | 0.733126 | − | 0.423270i | ||||
\(45\) | 0.744141 | − | 6.66680i | 0.110930 | − | 0.993828i | ||||
\(46\) | −4.62786 | + | 8.01569i | −0.682341 | + | 1.18185i | ||||
\(47\) | 0.276786 | + | 1.03298i | 0.0403733 | + | 0.150675i | 0.983170 | − | 0.182693i | \(-0.0584814\pi\) |
−0.942797 | + | 0.333368i | \(0.891815\pi\) | |||||||
\(48\) | 2.18202 | + | 7.60637i | 0.314948 | + | 1.09788i | ||||
\(49\) | −4.98010 | + | 4.91921i | −0.711443 | + | 0.702744i | ||||
\(50\) | −9.55680 | − | 0.294288i | −1.35154 | − | 0.0416186i | ||||
\(51\) | −0.732365 | − | 0.405848i | −0.102552 | − | 0.0568302i | ||||
\(52\) | −5.37675 | + | 5.37675i | −0.745621 | + | 0.745621i | ||||
\(53\) | −1.17952 | − | 4.40203i | −0.162020 | − | 0.604666i | −0.998402 | − | 0.0565185i | \(-0.982000\pi\) |
0.836382 | − | 0.548147i | \(-0.184667\pi\) | |||||||
\(54\) | 8.85495 | + | 4.50804i | 1.20501 | + | 0.613466i | ||||
\(55\) | 7.49783 | + | 1.10476i | 1.01101 | + | 0.148966i | ||||
\(56\) | −1.60233 | − | 0.669489i | −0.214121 | − | 0.0894643i | ||||
\(57\) | −3.91965 | − | 0.976807i | −0.519170 | − | 0.129381i | ||||
\(58\) | 8.67468 | − | 8.67468i | 1.13904 | − | 1.13904i | ||||
\(59\) | 4.26149 | + | 7.38111i | 0.554798 | + | 0.960939i | 0.997919 | + | 0.0644771i | \(0.0205379\pi\) |
−0.443121 | + | 0.896462i | \(0.646129\pi\) | |||||||
\(60\) | 2.44263 | − | 5.93350i | 0.315343 | − | 0.766012i | ||||
\(61\) | −3.10763 | − | 1.79419i | −0.397892 | − | 0.229723i | 0.287682 | − | 0.957726i | \(-0.407115\pi\) |
−0.685574 | + | 0.728003i | \(0.740449\pi\) | |||||||
\(62\) | −4.92777 | + | 4.92777i | −0.625828 | + | 0.625828i | ||||
\(63\) | −7.23194 | + | 3.27093i | −0.911139 | + | 0.412099i | ||||
\(64\) | 5.05891i | 0.632363i | ||||||||
\(65\) | −10.1943 | + | 1.18278i | −1.26444 | + | 0.146706i | ||||
\(66\) | −5.44134 | + | 9.81906i | −0.669782 | + | 1.20864i | ||||
\(67\) | −3.03123 | + | 11.3127i | −0.370324 | + | 1.38207i | 0.489735 | + | 0.871871i | \(0.337093\pi\) |
−0.860059 | + | 0.510195i | \(0.829573\pi\) | |||||||
\(68\) | −0.566325 | − | 0.566325i | −0.0686770 | − | 0.0686770i | ||||
\(69\) | −0.147260 | − | 8.38216i | −0.0177280 | − | 1.00909i | ||||
\(70\) | 5.47467 | + | 9.90024i | 0.654348 | + | 1.18330i | ||||
\(71\) | −0.500026 | −0.0593422 | −0.0296711 | − | 0.999560i | \(-0.509446\pi\) | ||||
−0.0296711 | + | 0.999560i | \(0.509446\pi\) | |||||||
\(72\) | −1.44040 | − | 1.34259i | −0.169753 | − | 0.158226i | ||||
\(73\) | −11.8218 | + | 3.16764i | −1.38364 | + | 0.370745i | −0.872441 | − | 0.488719i | \(-0.837464\pi\) |
−0.511197 | + | 0.859464i | \(0.670798\pi\) | |||||||
\(74\) | 21.1542i | 2.45913i | ||||||||
\(75\) | 7.55658 | − | 4.23062i | 0.872558 | − | 0.488510i | ||||
\(76\) | −3.34627 | − | 1.93197i | −0.383843 | − | 0.221612i | ||||
\(77\) | −3.40615 | − | 8.29525i | −0.388167 | − | 0.945332i | ||||
\(78\) | 3.67588 | − | 14.7503i | 0.416212 | − | 1.67014i | ||||
\(79\) | −0.511613 | − | 0.295380i | −0.0575609 | − | 0.0332328i | 0.470943 | − | 0.882163i | \(-0.343914\pi\) |
−0.528504 | + | 0.848931i | \(0.677247\pi\) | |||||||
\(80\) | −6.34302 | + | 8.00809i | −0.709171 | + | 0.895332i | ||||
\(81\) | −8.97779 | + | 0.631872i | −0.997532 | + | 0.0702080i | ||||
\(82\) | −23.0709 | − | 6.18183i | −2.54776 | − | 0.682669i | ||||
\(83\) | −1.81804 | + | 6.78500i | −0.199555 | + | 0.744751i | 0.791485 | + | 0.611189i | \(0.209308\pi\) |
−0.991040 | + | 0.133562i | \(0.957358\pi\) | |||||||
\(84\) | −7.51213 | + | 1.09995i | −0.819641 | + | 0.120015i | ||||
\(85\) | −0.124581 | − | 1.07375i | −0.0135127 | − | 0.116464i | ||||
\(86\) | −6.44999 | −0.695520 | ||||||||
\(87\) | −2.68694 | + | 10.7819i | −0.288071 | + | 1.15595i | ||||
\(88\) | 1.57305 | − | 1.57305i | 0.167688 | − | 0.167688i | ||||
\(89\) | 2.29429 | + | 3.97382i | 0.243194 | + | 0.421224i | 0.961622 | − | 0.274377i | \(-0.0884715\pi\) |
−0.718428 | + | 0.695601i | \(0.755138\pi\) | |||||||
\(90\) | 1.92510 | + | 12.6826i | 0.202923 | + | 1.33686i | ||||
\(91\) | 7.36249 | + | 9.65633i | 0.771798 | + | 1.01226i | ||||
\(92\) | 2.07548 | − | 7.74579i | 0.216384 | − | 0.807555i | ||||
\(93\) | 1.52636 | − | 6.12484i | 0.158276 | − | 0.635116i | ||||
\(94\) | −1.02251 | − | 1.77103i | −0.105463 | − | 0.182668i | ||||
\(95\) | −1.92131 | − | 4.84819i | −0.197122 | − | 0.497414i | ||||
\(96\) | −6.62379 | − | 11.0210i | −0.676038 | − | 1.12483i | ||||
\(97\) | 5.10841 | + | 1.36879i | 0.518681 | + | 0.138980i | 0.508656 | − | 0.860970i | \(-0.330142\pi\) |
0.0100243 | + | 0.999950i | \(0.496809\pi\) | |||||||
\(98\) | 6.76412 | − | 11.5511i | 0.683279 | − | 1.16684i | ||||
\(99\) | −0.357158 | − | 10.1617i | −0.0358957 | − | 1.02129i | ||||
\(100\) | 8.06374 | − | 1.89671i | 0.806374 | − | 0.189671i | ||||
\(101\) | 2.97554i | 0.296078i | 0.988982 | + | 0.148039i | \(0.0472961\pi\) | ||||
−0.988982 | + | 0.148039i | \(0.952704\pi\) | |||||||
\(102\) | 1.55362 | + | 0.387175i | 0.153832 | + | 0.0383361i | ||||
\(103\) | 5.94526 | + | 5.94526i | 0.585804 | + | 0.585804i | 0.936492 | − | 0.350688i | \(-0.114052\pi\) |
−0.350688 | + | 0.936492i | \(0.614052\pi\) | |||||||
\(104\) | −1.50622 | + | 2.60885i | −0.147697 | + | 0.255819i | ||||
\(105\) | −8.86950 | − | 5.13147i | −0.865574 | − | 0.500780i | ||||
\(106\) | 4.35740 | + | 7.54725i | 0.423229 | + | 0.733053i | ||||
\(107\) | −2.52161 | + | 9.41078i | −0.243773 | + | 0.909775i | 0.730223 | + | 0.683209i | \(0.239416\pi\) |
−0.973996 | + | 0.226565i | \(0.927250\pi\) | |||||||
\(108\) | −8.42127 | − | 1.78701i | −0.810337 | − | 0.171955i | ||||
\(109\) | 3.29693 | + | 1.90349i | 0.315789 | + | 0.182321i | 0.649514 | − | 0.760350i | \(-0.274972\pi\) |
−0.333725 | + | 0.942670i | \(0.608306\pi\) | |||||||
\(110\) | −14.3961 | + | 1.67029i | −1.37261 | + | 0.159256i | ||||
\(111\) | −9.87029 | − | 16.4227i | −0.936847 | − | 1.55878i | ||||
\(112\) | 11.9792 | + | 1.61459i | 1.13193 | + | 0.152565i | ||||
\(113\) | 2.56240 | + | 9.56300i | 0.241050 | + | 0.899611i | 0.975328 | + | 0.220762i | \(0.0708544\pi\) |
−0.734278 | + | 0.678849i | \(0.762479\pi\) | |||||||
\(114\) | 7.72346 | − | 0.135688i | 0.723369 | − | 0.0127083i | ||||
\(115\) | 8.68684 | − | 6.45568i | 0.810052 | − | 0.601995i | ||||
\(116\) | −5.31435 | + | 9.20472i | −0.493425 | + | 0.854637i | ||||
\(117\) | 4.02859 | + | 13.1663i | 0.372443 | + | 1.21722i | ||||
\(118\) | −11.5246 | − | 11.5246i | −1.06092 | − | 1.06092i | ||||
\(119\) | −1.01709 | + | 0.775480i | −0.0932362 | + | 0.0710881i | ||||
\(120\) | 0.326327 | − | 2.52105i | 0.0297894 | − | 0.230139i | ||||
\(121\) | 0.487578 | 0.0443253 | ||||||||
\(122\) | 6.62814 | + | 1.77600i | 0.600083 | + | 0.160792i | ||||
\(123\) | 20.7951 | − | 5.96545i | 1.87503 | − | 0.537886i | ||||
\(124\) | 3.01889 | − | 5.22887i | 0.271105 | − | 0.469567i | ||||
\(125\) | 10.1208 | + | 4.75076i | 0.905230 | + | 0.424921i | ||||
\(126\) | 11.7393 | − | 9.62107i | 1.04582 | − | 0.857113i | ||||
\(127\) | 14.3341 | + | 14.3341i | 1.27195 | + | 1.27195i | 0.945065 | + | 0.326882i | \(0.105998\pi\) |
0.326882 | + | 0.945065i | \(0.394002\pi\) | |||||||
\(128\) | 1.33902 | + | 4.99729i | 0.118354 | + | 0.441702i | ||||
\(129\) | 5.00734 | − | 3.00949i | 0.440872 | − | 0.264971i | ||||
\(130\) | 18.2445 | − | 7.23019i | 1.60015 | − | 0.634129i | ||||
\(131\) | − | 8.77880i | − | 0.767007i | −0.923539 | − | 0.383504i | \(-0.874717\pi\) | ||
0.923539 | − | 0.383504i | \(-0.125283\pi\) | |||||||
\(132\) | 2.35187 | − | 9.43738i | 0.204704 | − | 0.821418i | ||||
\(133\) | −3.77139 | + | 4.88380i | −0.327021 | + | 0.423479i | ||||
\(134\) | − | 22.3960i | − | 1.93472i | ||||||
\(135\) | −7.41206 | − | 8.94770i | −0.637929 | − | 0.770095i | ||||
\(136\) | −0.274786 | − | 0.158648i | −0.0235627 | − | 0.0136040i | ||||
\(137\) | −11.5912 | − | 11.5912i | −0.990300 | − | 0.990300i | 0.00965347 | − | 0.999953i | \(-0.496927\pi\) |
−0.999953 | + | 0.00965347i | \(0.996927\pi\) | |||||||
\(138\) | 4.42059 | + | 15.4099i | 0.376306 | + | 1.31177i | ||||
\(139\) | 1.90606 | − | 3.30139i | 0.161670 | − | 0.280020i | −0.773798 | − | 0.633432i | \(-0.781645\pi\) |
0.935468 | + | 0.353412i | \(0.114979\pi\) | |||||||
\(140\) | −6.80156 | − | 7.05754i | −0.574837 | − | 0.596471i | ||||
\(141\) | 1.62015 | + | 0.897822i | 0.136441 | + | 0.0756103i | ||||
\(142\) | 0.923602 | − | 0.247478i | 0.0775069 | − | 0.0207679i | ||||
\(143\) | −15.0256 | + | 4.02611i | −1.25651 | + | 0.336680i | ||||
\(144\) | 12.1031 | + | 6.43183i | 1.00859 | + | 0.535986i | ||||
\(145\) | −13.3361 | + | 5.28502i | −1.10750 | + | 0.438897i | ||||
\(146\) | 20.2684 | − | 11.7020i | 1.67742 | − | 0.968461i | ||||
\(147\) | 0.138396 | + | 12.1236i | 0.0114147 | + | 0.999935i | ||||
\(148\) | −4.74356 | − | 17.7032i | −0.389918 | − | 1.45520i | ||||
\(149\) | − | 0.944554i | − | 0.0773808i | −0.999251 | − | 0.0386904i | \(-0.987681\pi\) | ||
0.999251 | − | 0.0386904i | \(-0.0123186\pi\) | |||||||
\(150\) | −11.8639 | + | 11.5544i | −0.968687 | + | 0.943412i | ||||
\(151\) | −7.88121 | −0.641364 | −0.320682 | − | 0.947187i | \(-0.603912\pi\) | ||||
−0.320682 | + | 0.947187i | \(0.603912\pi\) | |||||||
\(152\) | −1.47862 | − | 0.396196i | −0.119932 | − | 0.0321358i | ||||
\(153\) | −1.38678 | + | 0.424325i | −0.112115 | + | 0.0343046i | ||||
\(154\) | 10.3971 | + | 13.6364i | 0.837822 | + | 1.09885i | ||||
\(155\) | 7.57577 | − | 3.00223i | 0.608500 | − | 0.241145i | ||||
\(156\) | 0.231343 | + | 13.1683i | 0.0185223 | + | 1.05430i | ||||
\(157\) | 2.97584 | + | 0.797373i | 0.237498 | + | 0.0636373i | 0.375605 | − | 0.926780i | \(-0.377435\pi\) |
−0.138107 | + | 0.990417i | \(0.544102\pi\) | |||||||
\(158\) | 1.09120 | + | 0.292385i | 0.0868109 | + | 0.0232609i | ||||
\(159\) | −6.90425 | − | 3.82607i | −0.547543 | − | 0.303427i | ||||
\(160\) | 6.58787 | − | 15.2369i | 0.520817 | − | 1.20458i | ||||
\(161\) | −11.8160 | − | 4.93698i | −0.931232 | − | 0.389089i | ||||
\(162\) | 16.2702 | − | 5.61052i | 1.27831 | − | 0.440804i | ||||
\(163\) | −11.5719 | − | 3.10068i | −0.906379 | − | 0.242864i | −0.224625 | − | 0.974445i | \(-0.572116\pi\) |
−0.681754 | + | 0.731582i | \(0.738783\pi\) | |||||||
\(164\) | 20.6935 | 1.61589 | ||||||||
\(165\) | 10.3968 | − | 8.01374i | 0.809391 | − | 0.623868i | ||||
\(166\) | − | 13.4324i | − | 1.04256i | ||||||
\(167\) | 0.383277 | + | 1.43041i | 0.0296589 | + | 0.110689i | 0.979168 | − | 0.203050i | \(-0.0650853\pi\) |
−0.949510 | + | 0.313738i | \(0.898419\pi\) | |||||||
\(168\) | −2.76190 | + | 1.19119i | −0.213086 | + | 0.0919025i | ||||
\(169\) | 6.98400 | − | 4.03221i | 0.537231 | − | 0.310170i | ||||
\(170\) | 0.761545 | + | 1.92167i | 0.0584078 | + | 0.147385i | ||||
\(171\) | −5.93267 | + | 3.70901i | −0.453683 | + | 0.283635i | ||||
\(172\) | 5.39777 | − | 1.44633i | 0.411576 | − | 0.110282i | ||||
\(173\) | 2.45952 | − | 0.659026i | 0.186994 | − | 0.0501048i | −0.164107 | − | 0.986443i | \(-0.552474\pi\) |
0.351101 | + | 0.936338i | \(0.385808\pi\) | |||||||
\(174\) | −0.373242 | − | 21.2453i | −0.0282954 | − | 1.61060i | ||||
\(175\) | −1.28171 | − | 13.1665i | −0.0968879 | − | 0.995295i | ||||
\(176\) | −7.74236 | + | 13.4102i | −0.583602 | + | 1.01083i | ||||
\(177\) | 14.3241 | + | 3.56968i | 1.07667 | + | 0.268314i | ||||
\(178\) | −6.20456 | − | 6.20456i | −0.465051 | − | 0.465051i | ||||
\(179\) | 13.0660 | + | 7.54366i | 0.976598 | + | 0.563839i | 0.901241 | − | 0.433317i | \(-0.142657\pi\) |
0.0753569 | + | 0.997157i | \(0.475990\pi\) | |||||||
\(180\) | −4.45496 | − | 10.1819i | −0.332053 | − | 0.758917i | ||||
\(181\) | − | 2.89170i | − | 0.214938i | −0.994208 | − | 0.107469i | \(-0.965725\pi\) | ||
0.994208 | − | 0.107469i | \(-0.0342747\pi\) | |||||||
\(182\) | −18.3785 | − | 14.1924i | −1.36231 | − | 1.05201i | ||||
\(183\) | −5.97431 | + | 1.71384i | −0.441633 | + | 0.126690i | ||||
\(184\) | − | 3.17692i | − | 0.234206i | ||||||
\(185\) | 9.81676 | − | 22.7049i | 0.721743 | − | 1.66930i | ||||
\(186\) | 0.212025 | + | 12.0687i | 0.0155465 | + | 0.884918i | ||||
\(187\) | −0.424064 | − | 1.58263i | −0.0310106 | − | 0.115733i | ||||
\(188\) | 1.25283 | + | 1.25283i | 0.0913721 | + | 0.0913721i | ||||
\(189\) | −4.62453 | + | 12.9466i | −0.336385 | + | 0.941725i | ||||
\(190\) | 5.94838 | + | 8.00421i | 0.431541 | + | 0.580686i | ||||
\(191\) | 8.68299 | − | 15.0394i | 0.628279 | − | 1.08821i | −0.359618 | − | 0.933100i | \(-0.617093\pi\) |
0.987897 | − | 0.155112i | \(-0.0495738\pi\) | |||||||
\(192\) | 6.30375 | + | 6.08608i | 0.454934 | + | 0.439225i | ||||
\(193\) | −14.0676 | − | 3.76939i | −1.01260 | − | 0.271327i | −0.285887 | − | 0.958263i | \(-0.592288\pi\) |
−0.726717 | + | 0.686937i | \(0.758955\pi\) | |||||||
\(194\) | −10.1132 | −0.726088 | ||||||||
\(195\) | −10.7903 | + | 14.1257i | −0.772710 | + | 1.01156i | ||||
\(196\) | −3.07046 | + | 11.1835i | −0.219319 | + | 0.798820i | ||||
\(197\) | −0.673957 | − | 0.673957i | −0.0480174 | − | 0.0480174i | 0.682690 | − | 0.730708i | \(-0.260810\pi\) |
−0.730708 | + | 0.682690i | \(0.760810\pi\) | |||||||
\(198\) | 5.68906 | + | 18.5930i | 0.404304 | + | 1.32135i | ||||
\(199\) | −3.68006 | + | 6.37405i | −0.260873 | + | 0.451844i | −0.966474 | − | 0.256764i | \(-0.917344\pi\) |
0.705602 | + | 0.708609i | \(0.250677\pi\) | |||||||
\(200\) | 2.89129 | − | 1.55265i | 0.204445 | − | 0.109789i | ||||
\(201\) | 10.4497 | + | 17.3868i | 0.737066 | + | 1.22637i | ||||
\(202\) | −1.47269 | − | 5.49615i | −0.103618 | − | 0.386708i | ||||
\(203\) | 13.4341 | + | 10.3741i | 0.942887 | + | 0.728121i | ||||
\(204\) | −1.38699 | + | 0.0243671i | −0.0971090 | + | 0.00170604i | ||||
\(205\) | 21.8934 | + | 17.3412i | 1.52910 | + | 1.21116i | ||||
\(206\) | −13.9240 | − | 8.03904i | −0.970133 | − | 0.560106i | ||||
\(207\) | −10.6219 | − | 9.90060i | −0.738274 | − | 0.688139i | ||||
\(208\) | 5.42701 | − | 20.2539i | 0.376295 | − | 1.40435i | ||||
\(209\) | −3.95234 | − | 6.84566i | −0.273389 | − | 0.473524i | ||||
\(210\) | 18.9226 | + | 5.08859i | 1.30579 | + | 0.351146i | ||||
\(211\) | 10.2995 | − | 17.8393i | 0.709047 | − | 1.22810i | −0.256165 | − | 0.966633i | \(-0.582459\pi\) |
0.965211 | − | 0.261472i | \(-0.0842078\pi\) | |||||||
\(212\) | −5.33893 | − | 5.33893i | −0.366680 | − | 0.366680i | ||||
\(213\) | −0.601553 | + | 0.623067i | −0.0412177 | + | 0.0426919i | ||||
\(214\) | − | 18.6307i | − | 1.27357i | ||||||
\(215\) | 6.92280 | + | 2.99317i | 0.472131 | + | 0.204132i | ||||
\(216\) | −3.40583 | + | 0.179651i | −0.231737 | + | 0.0122237i | ||||
\(217\) | −7.63141 | − | 5.89317i | −0.518054 | − | 0.400054i | ||||
\(218\) | −7.03188 | − | 1.88419i | −0.476259 | − | 0.127613i | ||||
\(219\) | −10.2750 | + | 18.5416i | −0.694323 | + | 1.25293i | ||||
\(220\) | 11.6730 | − | 4.62595i | 0.786995 | − | 0.311881i | ||||
\(221\) | 1.10934 | + | 1.92144i | 0.0746224 | + | 0.129250i | ||||
\(222\) | 26.3596 | + | 25.4494i | 1.76914 | + | 1.70805i | ||||
\(223\) | −6.52869 | + | 24.3654i | −0.437194 | + | 1.63163i | 0.298568 | + | 0.954388i | \(0.403491\pi\) |
−0.735762 | + | 0.677241i | \(0.763176\pi\) | |||||||
\(224\) | −19.4812 | + | 2.50382i | −1.30164 | + | 0.167293i | ||||
\(225\) | 3.81924 | − | 14.5056i | 0.254616 | − | 0.967042i | ||||
\(226\) | −9.46605 | − | 16.3957i | −0.629672 | − | 1.09062i | ||||
\(227\) | 1.49234 | − | 1.49234i | 0.0990503 | − | 0.0990503i | −0.655845 | − | 0.754895i | \(-0.727688\pi\) |
0.754895 | + | 0.655845i | \(0.227688\pi\) | |||||||
\(228\) | −6.43307 | + | 1.84544i | −0.426041 | + | 0.122217i | ||||
\(229\) | −14.4544 | −0.955172 | −0.477586 | − | 0.878585i | \(-0.658488\pi\) | ||||
−0.477586 | + | 0.878585i | \(0.658488\pi\) | |||||||
\(230\) | −12.8504 | + | 16.2237i | −0.847331 | + | 1.06976i | ||||
\(231\) | −14.4342 | − | 5.73524i | −0.949701 | − | 0.377351i | ||||
\(232\) | −1.08983 | + | 4.06732i | −0.0715511 | + | 0.267032i | ||||
\(233\) | 6.15912 | + | 1.65033i | 0.403497 | + | 0.108117i | 0.454859 | − | 0.890563i | \(-0.349690\pi\) |
−0.0513620 | + | 0.998680i | \(0.516356\pi\) | |||||||
\(234\) | −13.9576 | − | 22.3256i | −0.912438 | − | 1.45947i | ||||
\(235\) | 0.275599 | + | 2.37536i | 0.0179781 | + | 0.154951i | ||||
\(236\) | 12.2287 | + | 7.06027i | 0.796024 | + | 0.459584i | ||||
\(237\) | −0.983556 | + | 0.282150i | −0.0638888 | + | 0.0183276i | ||||
\(238\) | 1.49486 | − | 1.93578i | 0.0968974 | − | 0.125478i | ||||
\(239\) | 0.267272 | + | 0.154309i | 0.0172884 | + | 0.00998145i | 0.508619 | − | 0.860992i | \(-0.330156\pi\) |
−0.491331 | + | 0.870973i | \(0.663489\pi\) | |||||||
\(240\) | 2.34772 | + | 17.5379i | 0.151545 | + | 1.13207i | ||||
\(241\) | 13.6352i | 0.878323i | 0.898408 | + | 0.439161i | \(0.144724\pi\) | ||||
−0.898408 | + | 0.439161i | \(0.855276\pi\) | |||||||
\(242\) | −0.900609 | + | 0.241317i | −0.0578933 | + | 0.0155125i | ||||
\(243\) | −10.0133 | + | 11.9471i | −0.642354 | + | 0.766408i | ||||
\(244\) | −5.94510 | −0.380596 | ||||||||
\(245\) | −12.6203 | + | 9.25891i | −0.806283 | + | 0.591530i | ||||
\(246\) | −35.4583 | + | 21.3110i | −2.26074 | + | 1.35874i | ||||
\(247\) | 7.56885 | + | 7.56885i | 0.481595 | + | 0.481595i | ||||
\(248\) | 0.619096 | − | 2.31050i | 0.0393126 | − | 0.146717i | ||||
\(249\) | 6.26741 | + | 10.4280i | 0.397181 | + | 0.660851i | ||||
\(250\) | −21.0455 | − | 3.76608i | −1.33103 | − | 0.238188i | ||||
\(251\) | 22.3880i | 1.41312i | 0.707654 | + | 0.706559i | \(0.249754\pi\) | ||||
−0.707654 | + | 0.706559i | \(0.750246\pi\) | |||||||
\(252\) | −7.66680 | + | 10.6839i | −0.482963 | + | 0.673024i | ||||
\(253\) | 11.6001 | − | 11.6001i | 0.729291 | − | 0.729291i | ||||
\(254\) | −33.5710 | − | 19.3823i | −2.10643 | − | 1.21615i | ||||
\(255\) | −1.48784 | − | 1.13653i | −0.0931721 | − | 0.0711721i | ||||
\(256\) | −10.0055 | − | 17.3301i | −0.625346 | − | 1.08313i | ||||
\(257\) | −18.9373 | + | 18.9373i | −1.18127 | + | 1.18127i | −0.201859 | + | 0.979415i | \(0.564698\pi\) |
−0.979415 | + | 0.201859i | \(0.935302\pi\) | |||||||
\(258\) | −7.75961 | + | 8.03713i | −0.483092 | + | 0.500370i | ||||
\(259\) | −29.0295 | + | 3.73101i | −1.80381 | + | 0.231834i | ||||
\(260\) | −13.6469 | + | 10.1418i | −0.846346 | + | 0.628967i | ||||
\(261\) | 10.2025 | + | 16.3193i | 0.631521 | + | 1.01014i | ||||
\(262\) | 4.34490 | + | 16.2154i | 0.268429 | + | 1.00179i | ||||
\(263\) | 18.4299 | − | 18.4299i | 1.13644 | − | 1.13644i | 0.147351 | − | 0.989084i | \(-0.452925\pi\) |
0.989084 | − | 0.147351i | \(-0.0470747\pi\) | |||||||
\(264\) | −0.0676831 | − | 3.85258i | −0.00416561 | − | 0.237110i | ||||
\(265\) | −1.17446 | − | 10.1226i | −0.0721467 | − | 0.621825i | ||||
\(266\) | 4.54902 | − | 10.8875i | 0.278919 | − | 0.667554i | ||||
\(267\) | 7.71178 | + | 1.92184i | 0.471953 | + | 0.117614i | ||||
\(268\) | 5.02202 | + | 18.7424i | 0.306769 | + | 1.14488i | ||||
\(269\) | 7.21105 | − | 12.4899i | 0.439666 | − | 0.761523i | −0.557998 | − | 0.829842i | \(-0.688430\pi\) |
0.997664 | + | 0.0683191i | \(0.0217636\pi\) | |||||||
\(270\) | 18.1194 | + | 12.8589i | 1.10271 | + | 0.782568i | ||||
\(271\) | −0.00894556 | + | 0.00516472i | −0.000543404 | + | 0.000313734i | −0.500272 | − | 0.865868i | \(-0.666767\pi\) |
0.499728 | + | 0.866182i | \(0.333433\pi\) | |||||||
\(272\) | 2.13331 | + | 0.571618i | 0.129351 | + | 0.0346595i | ||||
\(273\) | 20.8898 | + | 2.44281i | 1.26431 | + | 0.147846i | ||||
\(274\) | 27.1469 | + | 15.6733i | 1.64001 | + | 0.946859i | ||||
\(275\) | 16.2265 | + | 4.88787i | 0.978493 | + | 0.294750i | ||||
\(276\) | −7.15491 | − | 11.9047i | −0.430675 | − | 0.716579i | ||||
\(277\) | −11.9054 | − | 11.9054i | −0.715324 | − | 0.715324i | 0.252320 | − | 0.967644i | \(-0.418806\pi\) |
−0.967644 | + | 0.252320i | \(0.918806\pi\) | |||||||
\(278\) | −1.88673 | + | 7.04138i | −0.113159 | + | 0.422314i | ||||
\(279\) | −5.79570 | − | 9.27039i | −0.346979 | − | 0.555003i | ||||
\(280\) | −3.32643 | − | 2.00332i | −0.198792 | − | 0.119721i | ||||
\(281\) | 8.01140 | + | 13.8762i | 0.477920 | + | 0.827782i | 0.999680 | − | 0.0253106i | \(-0.00805746\pi\) |
−0.521759 | + | 0.853093i | \(0.674724\pi\) | |||||||
\(282\) | −3.43695 | − | 0.856514i | −0.204667 | − | 0.0510046i | ||||
\(283\) | −4.06430 | + | 15.1682i | −0.241598 | + | 0.901655i | 0.733465 | + | 0.679727i | \(0.237902\pi\) |
−0.975063 | + | 0.221928i | \(0.928765\pi\) | |||||||
\(284\) | −0.717436 | + | 0.414212i | −0.0425720 | + | 0.0245790i | ||||
\(285\) | −8.35259 | − | 3.43850i | −0.494765 | − | 0.203679i | ||||
\(286\) | 25.7613 | − | 14.8733i | 1.52330 | − | 0.879477i | ||||
\(287\) | 4.41415 | − | 32.7501i | 0.260559 | − | 1.93318i | ||||
\(288\) | −21.7016 | − | 5.00505i | −1.27878 | − | 0.294925i | ||||
\(289\) | 14.5200 | − | 8.38315i | 0.854121 | − | 0.493127i | ||||
\(290\) | 22.0175 | − | 16.3624i | 1.29291 | − | 0.960836i | ||||
\(291\) | 7.85125 | − | 4.71872i | 0.460248 | − | 0.276616i | ||||
\(292\) | −14.3379 | + | 14.3379i | −0.839062 | + | 0.839062i | ||||
\(293\) | −15.6106 | + | 4.18284i | −0.911978 | + | 0.244364i | −0.684153 | − | 0.729338i | \(-0.739828\pi\) |
−0.227825 | + | 0.973702i | \(0.573161\pi\) | |||||||
\(294\) | −6.25596 | − | 22.3250i | −0.364855 | − | 1.30202i | ||||
\(295\) | 7.02130 | + | 17.7174i | 0.408796 | + | 1.03155i | ||||
\(296\) | −3.63047 | − | 6.28815i | −0.211017 | − | 0.365491i | ||||
\(297\) | −13.0919 | − | 11.7799i | −0.759668 | − | 0.683542i | ||||
\(298\) | 0.467489 | + | 1.74469i | 0.0270809 | + | 0.101067i | ||||
\(299\) | −11.1073 | + | 19.2383i | −0.642349 | + | 1.11258i | ||||
\(300\) | 7.33759 | − | 12.3298i | 0.423636 | − | 0.711862i | ||||
\(301\) | −1.13760 | − | 8.85120i | −0.0655700 | − | 0.510175i | ||||
\(302\) | 14.5574 | − | 3.90065i | 0.837686 | − | 0.224457i | ||||
\(303\) | 3.70773 | + | 3.57971i | 0.213004 | + | 0.205649i | ||||
\(304\) | 10.6551 | 0.611115 | ||||||||
\(305\) | −6.28983 | − | 4.98203i | −0.360155 | − | 0.285270i | ||||
\(306\) | 2.35152 | − | 1.47014i | 0.134428 | − | 0.0840420i | ||||
\(307\) | 3.35946 | − | 3.35946i | 0.191735 | − | 0.191735i | −0.604711 | − | 0.796445i | \(-0.706711\pi\) |
0.796445 | + | 0.604711i | \(0.206711\pi\) | |||||||
\(308\) | −11.7588 | − | 9.08042i | −0.670018 | − | 0.517405i | ||||
\(309\) | 14.5606 | − | 0.255804i | 0.828324 | − | 0.0145522i | ||||
\(310\) | −12.5074 | + | 9.29492i | −0.710370 | + | 0.527916i | ||||
\(311\) | 20.9770 | − | 12.1111i | 1.18949 | − | 0.686755i | 0.231302 | − | 0.972882i | \(-0.425701\pi\) |
0.958192 | + | 0.286127i | \(0.0923680\pi\) | |||||||
\(312\) | 1.43876 | + | 5.01542i | 0.0814538 | + | 0.283942i | ||||
\(313\) | 13.5339 | − | 3.62639i | 0.764980 | − | 0.204976i | 0.144827 | − | 0.989457i | \(-0.453737\pi\) |
0.620153 | + | 0.784481i | \(0.287071\pi\) | |||||||
\(314\) | −5.89133 | −0.332467 | ||||||||
\(315\) | −17.0646 | + | 4.87863i | −0.961479 | + | 0.274880i | ||||
\(316\) | −0.978748 | −0.0550589 | ||||||||
\(317\) | 10.0439 | − | 2.69124i | 0.564119 | − | 0.151155i | 0.0345212 | − | 0.999404i | \(-0.489009\pi\) |
0.529598 | + | 0.848249i | \(0.322343\pi\) | |||||||
\(318\) | 14.6465 | + | 3.65003i | 0.821337 | + | 0.204684i | ||||
\(319\) | −18.8306 | + | 10.8719i | −1.05431 | + | 0.608708i | ||||
\(320\) | −1.64896 | + | 11.1912i | −0.0921798 | + | 0.625609i | ||||
\(321\) | 8.69288 | + | 14.4637i | 0.485189 | + | 0.807284i | ||||
\(322\) | 24.2689 | + | 3.27103i | 1.35245 | + | 0.182287i | ||||
\(323\) | −0.797216 | + | 0.797216i | −0.0443583 | + | 0.0443583i | ||||
\(324\) | −12.3579 | + | 8.34364i | −0.686549 | + | 0.463536i | ||||
\(325\) | −22.9371 | − | 0.706316i | −1.27232 | − | 0.0391794i | ||||
\(326\) | 22.9091 | 1.26882 | ||||||||
\(327\) | 6.33823 | − | 1.81823i | 0.350505 | − | 0.100549i | ||||
\(328\) | 7.91882 | − | 2.12184i | 0.437244 | − | 0.117159i | ||||
\(329\) | 2.25001 | − | 1.71552i | 0.124047 | − | 0.0945800i | ||||
\(330\) | −15.2378 | + | 19.9479i | −0.838812 | + | 1.09810i | ||||
\(331\) | 12.6528 | − | 21.9153i | 0.695462 | − | 1.20458i | −0.274563 | − | 0.961569i | \(-0.588533\pi\) |
0.970025 | − | 0.243006i | \(-0.0781334\pi\) | |||||||
\(332\) | 3.01205 | + | 11.2411i | 0.165308 | + | 0.616937i | ||||
\(333\) | −32.3382 | − | 7.45816i | −1.77212 | − | 0.408705i | ||||
\(334\) | −1.41591 | − | 2.45243i | −0.0774751 | − | 0.134191i | ||||
\(335\) | −10.3930 | + | 24.0377i | −0.567832 | + | 1.31332i | ||||
\(336\) | 16.4234 | − | 12.9845i | 0.895971 | − | 0.708364i | ||||
\(337\) | −15.0714 | + | 4.03836i | −0.820990 | + | 0.219984i | −0.644779 | − | 0.764369i | \(-0.723051\pi\) |
−0.176211 | + | 0.984352i | \(0.556384\pi\) | |||||||
\(338\) | −10.9045 | + | 10.9045i | −0.593128 | + | 0.593128i | ||||
\(339\) | 14.9988 | + | 8.31177i | 0.814625 | + | 0.451433i | ||||
\(340\) | −1.06822 | − | 1.43741i | −0.0579324 | − | 0.0779545i | ||||
\(341\) | 10.6970 | − | 6.17592i | 0.579276 | − | 0.334445i | ||||
\(342\) | 9.12258 | − | 9.78721i | 0.493293 | − | 0.529232i | ||||
\(343\) | 17.0444 | + | 7.24498i | 0.920309 | + | 0.391192i | ||||
\(344\) | 1.91728 | − | 1.10694i | 0.103373 | − | 0.0596823i | ||||
\(345\) | 2.40642 | − | 18.5909i | 0.129557 | − | 1.00090i | ||||
\(346\) | −4.21682 | + | 2.43458i | −0.226698 | + | 0.130884i | ||||
\(347\) | 0.930218 | − | 3.47162i | 0.0499367 | − | 0.186366i | −0.936452 | − | 0.350795i | \(-0.885911\pi\) |
0.986389 | + | 0.164429i | \(0.0525780\pi\) | |||||||
\(348\) | 5.07633 | + | 17.6957i | 0.272120 | + | 0.948590i | ||||
\(349\) | −13.4314 | − | 23.2639i | −0.718966 | − | 1.24529i | −0.961410 | − | 0.275121i | \(-0.911282\pi\) |
0.242443 | − | 0.970166i | \(-0.422051\pi\) | |||||||
\(350\) | 8.88397 | + | 23.6856i | 0.474868 | + | 1.26605i | ||||
\(351\) | 21.2526 | + | 10.8197i | 1.13438 | + | 0.577511i | ||||
\(352\) | 6.51231 | − | 24.3043i | 0.347107 | − | 1.29542i | ||||
\(353\) | 13.4138 | + | 13.4138i | 0.713942 | + | 0.713942i | 0.967358 | − | 0.253416i | \(-0.0815540\pi\) |
−0.253416 | + | 0.967358i | \(0.581554\pi\) | |||||||
\(354\) | −28.2249 | + | 0.495863i | −1.50014 | + | 0.0263548i | ||||
\(355\) | −1.10615 | − | 0.162985i | −0.0587083 | − | 0.00865033i | ||||
\(356\) | 6.58367 | + | 3.80109i | 0.348934 | + | 0.201457i | ||||
\(357\) | −0.257298 | + | 2.20030i | −0.0136176 | + | 0.116452i | ||||
\(358\) | −27.8679 | − | 7.46718i | −1.47286 | − | 0.394653i | ||||
\(359\) | 4.74118 | − | 2.73732i | 0.250230 | − | 0.144470i | −0.369640 | − | 0.929175i | \(-0.620519\pi\) |
0.619870 | + | 0.784705i | \(0.287185\pi\) | |||||||
\(360\) | −2.74882 | − | 3.43956i | −0.144875 | − | 0.181281i | ||||
\(361\) | 6.78037 | − | 11.7439i | 0.356861 | − | 0.618102i | ||||
\(362\) | 1.43119 | + | 5.34128i | 0.0752218 | + | 0.280732i | ||||
\(363\) | 0.586577 | − | 0.607556i | 0.0307873 | − | 0.0318884i | ||||
\(364\) | 18.5628 | + | 7.75594i | 0.972955 | + | 0.406522i | ||||
\(365\) | −27.1845 | + | 3.15406i | −1.42290 | + | 0.165091i | ||||
\(366\) | 10.1870 | − | 6.12251i | 0.532481 | − | 0.320029i | ||||
\(367\) | −23.8898 | + | 23.8898i | −1.24704 | + | 1.24704i | −0.290015 | + | 0.957022i | \(0.593660\pi\) |
−0.957022 | + | 0.290015i | \(0.906340\pi\) | |||||||
\(368\) | 5.72331 | + | 21.3597i | 0.298348 | + | 1.11345i | ||||
\(369\) | 17.5840 | − | 33.0888i | 0.915388 | − | 1.72254i | ||||
\(370\) | −6.89526 | + | 46.7970i | −0.358468 | + | 2.43286i | ||||
\(371\) | −9.58842 | + | 7.31071i | −0.497806 | + | 0.379553i | ||||
\(372\) | −2.88368 | − | 10.0523i | −0.149512 | − | 0.521188i | ||||
\(373\) | 14.1190 | − | 14.1190i | 0.731055 | − | 0.731055i | −0.239774 | − | 0.970829i | \(-0.577073\pi\) |
0.970829 | + | 0.239774i | \(0.0770733\pi\) | |||||||
\(374\) | 1.56658 | + | 2.71340i | 0.0810061 | + | 0.140307i | ||||
\(375\) | 18.0955 | − | 6.89583i | 0.934448 | − | 0.356099i | ||||
\(376\) | 0.607886 | + | 0.350963i | 0.0313493 | + | 0.0180995i | ||||
\(377\) | 20.8200 | − | 20.8200i | 1.07228 | − | 1.07228i | ||||
\(378\) | 2.13434 | − | 26.2025i | 0.109779 | − | 1.34771i | ||||
\(379\) | 8.54397i | 0.438875i | 0.975627 | + | 0.219437i | \(0.0704221\pi\) | ||||
−0.975627 | + | 0.219437i | \(0.929578\pi\) | |||||||
\(380\) | −6.77283 | − | 5.36460i | −0.347439 | − | 0.275198i | ||||
\(381\) | 35.1059 | − | 0.616749i | 1.79853 | − | 0.0315970i | ||||
\(382\) | −8.59496 | + | 32.0768i | −0.439757 | + | 1.64119i | ||||
\(383\) | −3.90860 | − | 3.90860i | −0.199720 | − | 0.199720i | 0.600160 | − | 0.799880i | \(-0.295104\pi\) |
−0.799880 | + | 0.600160i | \(0.795104\pi\) | |||||||
\(384\) | 7.83787 | + | 4.34344i | 0.399974 | + | 0.221650i | ||||
\(385\) | −4.83117 | − | 19.4609i | −0.246219 | − | 0.991817i | ||||
\(386\) | 27.8499 | 1.41752 | ||||||||
\(387\) | 2.27402 | − | 9.86004i | 0.115595 | − | 0.501214i | ||||
\(388\) | 8.46342 | − | 2.26777i | 0.429665 | − | 0.115128i | ||||
\(389\) | − | 21.3852i | − | 1.08427i | −0.840291 | − | 0.542135i | \(-0.817616\pi\) | ||
0.840291 | − | 0.542135i | \(-0.182384\pi\) | |||||||
\(390\) | 12.9396 | − | 31.4321i | 0.655223 | − | 1.59163i | ||||
\(391\) | −2.02635 | − | 1.16991i | −0.102477 | − | 0.0591649i | ||||
\(392\) | −0.0282633 | + | 4.59445i | −0.00142751 | + | 0.232055i | ||||
\(393\) | −10.9390 | − | 10.5613i | −0.551799 | − | 0.532745i | ||||
\(394\) | 1.57843 | + | 0.911308i | 0.0795203 | + | 0.0459110i | ||||
\(395\) | −1.03550 | − | 0.820196i | −0.0521017 | − | 0.0412685i | ||||
\(396\) | −8.93023 | − | 14.2842i | −0.448761 | − | 0.717806i | ||||
\(397\) | 2.04511 | + | 0.547985i | 0.102641 | + | 0.0275026i | 0.309774 | − | 0.950810i | \(-0.399747\pi\) |
−0.207133 | + | 0.978313i | \(0.566413\pi\) | |||||||
\(398\) | 3.64275 | − | 13.5949i | 0.182595 | − | 0.681452i | ||||
\(399\) | 1.54840 | + | 10.5748i | 0.0775172 | + | 0.529404i | ||||
\(400\) | −16.6422 | + | 15.6479i | −0.832109 | + | 0.782393i | ||||
\(401\) | −30.7664 | −1.53640 | −0.768201 | − | 0.640208i | \(-0.778848\pi\) | ||||
−0.768201 | + | 0.640208i | \(0.778848\pi\) | |||||||
\(402\) | −27.9070 | − | 26.9434i | −1.39187 | − | 1.34381i | ||||
\(403\) | −11.8271 | + | 11.8271i | −0.589149 | + | 0.589149i | ||||
\(404\) | 2.46488 | + | 4.26930i | 0.122633 | + | 0.212406i | ||||
\(405\) | −20.0665 | − | 1.52852i | −0.997111 | − | 0.0759526i | ||||
\(406\) | −29.9486 | − | 12.5132i | −1.48633 | − | 0.621019i | ||||
\(407\) | 9.70418 | − | 36.2165i | 0.481018 | − | 1.79518i | ||||
\(408\) | −0.528266 | + | 0.151543i | −0.0261531 | + | 0.00750248i | ||||
\(409\) | −2.75144 | − | 4.76563i | −0.136050 | − | 0.235645i | 0.789948 | − | 0.613174i | \(-0.210107\pi\) |
−0.925998 | + | 0.377528i | \(0.876774\pi\) | |||||||
\(410\) | −49.0221 | − | 21.1954i | −2.42103 | − | 1.04676i | ||||
\(411\) | −28.3881 | + | 0.498729i | −1.40028 | + | 0.0246005i | ||||
\(412\) | 13.4552 | + | 3.60531i | 0.662889 | + | 0.177621i | ||||
\(413\) | 13.7823 | − | 17.8476i | 0.678184 | − | 0.878221i | ||||
\(414\) | 24.5199 | + | 13.0304i | 1.20509 | + | 0.640407i | ||||
\(415\) | −6.23342 | + | 14.4171i | −0.305986 | + | 0.707707i | ||||
\(416\) | 34.0722i | 1.67052i | ||||||||
\(417\) | −1.82069 | − | 6.34679i | −0.0891595 | − | 0.310804i | ||||
\(418\) | 10.6885 | + | 10.6885i | 0.522793 | + | 0.522793i | ||||
\(419\) | −3.73404 | + | 6.46754i | −0.182420 | + | 0.315960i | −0.942704 | − | 0.333630i | \(-0.891726\pi\) |
0.760284 | + | 0.649590i | \(0.225060\pi\) | |||||||
\(420\) | −16.9767 | − | 0.0153000i | −0.828381 | − | 0.000746566i | ||||
\(421\) | −17.2771 | − | 29.9248i | −0.842034 | − | 1.45845i | −0.888172 | − | 0.459510i | \(-0.848025\pi\) |
0.0461386 | − | 0.998935i | \(-0.485308\pi\) | |||||||
\(422\) | −10.1951 | + | 38.0486i | −0.496289 | + | 1.85217i | ||||
\(423\) | 3.06785 | − | 0.938697i | 0.149164 | − | 0.0456410i | ||||
\(424\) | −2.59050 | − | 1.49563i | −0.125806 | − | 0.0726341i | ||||
\(425\) | 0.0743952 | − | 2.41593i | 0.00360870 | − | 0.117190i | ||||
\(426\) | 0.802757 | − | 1.44860i | 0.0388937 | − | 0.0701848i | ||||
\(427\) | −1.26816 | + | 9.40890i | −0.0613705 | + | 0.455329i | ||||
\(428\) | 4.17771 | + | 15.5914i | 0.201937 | + | 0.753640i | ||||
\(429\) | −13.0597 | + | 23.5666i | −0.630527 | + | 1.13780i | ||||
\(430\) | −14.2686 | − | 2.10239i | −0.688091 | − | 0.101386i | ||||
\(431\) | −10.8721 | + | 18.8311i | −0.523692 | + | 0.907061i | 0.475928 | + | 0.879485i | \(0.342112\pi\) |
−0.999620 | + | 0.0275769i | \(0.991221\pi\) | |||||||
\(432\) | 22.5751 | − | 7.34356i | 1.08614 | − | 0.353317i | ||||
\(433\) | 6.40906 | + | 6.40906i | 0.308000 | + | 0.308000i | 0.844133 | − | 0.536133i | \(-0.180116\pi\) |
−0.536133 | + | 0.844133i | \(0.680116\pi\) | |||||||
\(434\) | 17.0127 | + | 7.10829i | 0.816638 | + | 0.341209i | ||||
\(435\) | −9.45842 | + | 22.9758i | −0.453496 | + | 1.10161i | ||||
\(436\) | 6.30724 | 0.302062 | ||||||||
\(437\) | −10.9038 | − | 2.92165i | −0.521597 | − | 0.139762i | ||||
\(438\) | 9.80228 | − | 39.3338i | 0.468371 | − | 1.87944i | ||||
\(439\) | 10.5105 | − | 18.2047i | 0.501637 | − | 0.868861i | −0.498361 | − | 0.866970i | \(-0.666065\pi\) |
0.999998 | − | 0.00189140i | \(-0.000602052\pi\) | |||||||
\(440\) | 3.99262 | − | 2.96714i | 0.190341 | − | 0.141453i | ||||
\(441\) | 15.2733 | + | 14.4127i | 0.727300 | + | 0.686320i | ||||
\(442\) | −3.00005 | − | 3.00005i | −0.142698 | − | 0.142698i | ||||
\(443\) | −2.70053 | − | 10.0785i | −0.128306 | − | 0.478845i | 0.871630 | − | 0.490165i | \(-0.163063\pi\) |
−0.999936 | + | 0.0113197i | \(0.996397\pi\) | |||||||
\(444\) | −27.7661 | − | 15.3869i | −1.31772 | − | 0.730231i | ||||
\(445\) | 3.78011 | + | 9.53865i | 0.179194 | + | 0.452175i | ||||
\(446\) | − | 48.2368i | − | 2.28408i | ||||||
\(447\) | −1.17698 | − | 1.13634i | −0.0556692 | − | 0.0537470i | ||||
\(448\) | 12.3815 | − | 5.08401i | 0.584969 | − | 0.240197i | ||||
\(449\) | 26.0151i | 1.22773i | 0.789412 | + | 0.613864i | \(0.210386\pi\) | ||||
−0.789412 | + | 0.613864i | \(0.789614\pi\) | |||||||
\(450\) | 0.124748 | + | 28.6837i | 0.00588067 | + | 1.35216i | ||||
\(451\) | 36.6621 | + | 21.1669i | 1.72635 | + | 0.996710i | ||||
\(452\) | 11.5983 | + | 11.5983i | 0.545539 | + | 0.545539i | ||||
\(453\) | −9.48143 | + | 9.82053i | −0.445476 | + | 0.461409i | ||||
\(454\) | −2.01791 | + | 3.49513i | −0.0947053 | + | 0.164034i | ||||
\(455\) | 13.1397 | + | 23.7614i | 0.615997 | + | 1.11395i | ||||
\(456\) | −2.27254 | + | 1.36583i | −0.106421 | + | 0.0639607i | ||||
\(457\) | −28.7848 | + | 7.71288i | −1.34650 | + | 0.360793i | −0.858841 | − | 0.512242i | \(-0.828815\pi\) |
−0.487657 | + | 0.873035i | \(0.662148\pi\) | |||||||
\(458\) | 26.6988 | − | 7.15391i | 1.24755 | − | 0.334280i | ||||
\(459\) | −1.13962 | + | 2.23851i | −0.0531929 | + | 0.104485i | ||||
\(460\) | 7.11610 | − | 16.4586i | 0.331790 | − | 0.767387i | ||||
\(461\) | −30.8895 | + | 17.8340i | −1.43867 | + | 0.830614i | −0.997757 | − | 0.0669384i | \(-0.978677\pi\) |
−0.440908 | + | 0.897552i | \(0.645344\pi\) | |||||||
\(462\) | 29.5001 | + | 3.44967i | 1.37247 | + | 0.160493i | ||||
\(463\) | 4.64205 | + | 17.3244i | 0.215734 | + | 0.805131i | 0.985907 | + | 0.167296i | \(0.0535034\pi\) |
−0.770173 | + | 0.637836i | \(0.779830\pi\) | |||||||
\(464\) | − | 29.3096i | − | 1.36066i | ||||||
\(465\) | 5.37299 | − | 13.0517i | 0.249166 | − | 0.605260i | ||||
\(466\) | −12.1934 | −0.564846 | ||||||||
\(467\) | 2.34182 | + | 0.627489i | 0.108367 | + | 0.0290367i | 0.312595 | − | 0.949887i | \(-0.398802\pi\) |
−0.204228 | + | 0.978923i | \(0.565468\pi\) | |||||||
\(468\) | 16.6869 | + | 15.5537i | 0.771351 | + | 0.718971i | ||||
\(469\) | 30.7336 | − | 3.95003i | 1.41915 | − | 0.182395i | ||||
\(470\) | −1.68470 | − | 4.25113i | −0.0777093 | − | 0.196090i | ||||
\(471\) | 4.57364 | − | 2.74882i | 0.210742 | − | 0.126659i | ||||
\(472\) | 5.40355 | + | 1.44788i | 0.248718 | + | 0.0666439i | ||||
\(473\) | 11.0425 | + | 2.95884i | 0.507736 | + | 0.136048i | ||||
\(474\) | 1.67709 | − | 1.00795i | 0.0770312 | − | 0.0462969i | ||||
\(475\) | −2.67000 | − | 11.3513i | −0.122508 | − | 0.520835i | ||||
\(476\) | −0.816922 | + | 1.95519i | −0.0374435 | + | 0.0896161i | ||||
\(477\) | −13.0737 | + | 4.00025i | −0.598602 | + | 0.183159i | ||||
\(478\) | −0.570052 | − | 0.152745i | −0.0260736 | − | 0.00698639i | ||||
\(479\) | −15.2601 | −0.697251 | −0.348625 | − | 0.937262i | \(-0.613351\pi\) | ||||
−0.348625 | + | 0.937262i | \(0.613351\pi\) | |||||||
\(480\) | −11.0607 | − | 26.5395i | −0.504850 | − | 1.21136i | ||||
\(481\) | 50.7719i | 2.31500i | ||||||||
\(482\) | −6.74850 | − | 25.1857i | −0.307386 | − | 1.14718i | ||||
\(483\) | −20.3670 | + | 8.78416i | −0.926730 | + | 0.399693i | ||||
\(484\) | 0.699576 | − | 0.403900i | 0.0317989 | − | 0.0183591i | ||||
\(485\) | 10.8546 | + | 4.69312i | 0.492881 | + | 0.213104i | ||||
\(486\) | 12.5827 | − | 27.0235i | 0.570761 | − | 1.22581i | ||||
\(487\) | 12.4697 | − | 3.34123i | 0.565054 | − | 0.151406i | 0.0350267 | − | 0.999386i | \(-0.488848\pi\) |
0.530027 | + | 0.847981i | \(0.322182\pi\) | |||||||
\(488\) | −2.27503 | + | 0.609592i | −0.102986 | + | 0.0275949i | ||||
\(489\) | −17.7851 | + | 10.6891i | −0.804271 | + | 0.483379i | ||||
\(490\) | 18.7286 | − | 23.3484i | 0.846071 | − | 1.05477i | ||||
\(491\) | −0.345209 | + | 0.597920i | −0.0155791 | + | 0.0269838i | −0.873710 | − | 0.486447i | \(-0.838293\pi\) |
0.858131 | + | 0.513431i | \(0.171626\pi\) | |||||||
\(492\) | 24.8951 | − | 25.7855i | 1.12236 | − | 1.16250i | ||||
\(493\) | 2.19294 | + | 2.19294i | 0.0987648 | + | 0.0987648i | ||||
\(494\) | −17.7265 | − | 10.2344i | −0.797555 | − | 0.460468i | ||||
\(495\) | 2.52214 | − | 22.5960i | 0.113362 | − | 1.01562i | ||||
\(496\) | 16.6497i | 0.747594i | ||||||||
\(497\) | 0.502507 | + | 1.22379i | 0.0225405 | + | 0.0548946i | ||||
\(498\) | −16.7377 | − | 16.1598i | −0.750036 | − | 0.724137i | ||||
\(499\) | − | 20.2798i | − | 0.907847i | −0.891041 | − | 0.453923i | \(-0.850024\pi\) | ||
0.891041 | − | 0.453923i | \(-0.149976\pi\) | |||||||
\(500\) | 18.4567 | − | 1.56748i | 0.825410 | − | 0.0700998i | ||||
\(501\) | 2.24349 | + | 1.24326i | 0.100232 | + | 0.0555445i | ||||
\(502\) | −11.0805 | − | 41.3531i | −0.494548 | − | 1.84568i | ||||
\(503\) | −7.06817 | − | 7.06817i | −0.315154 | − | 0.315154i | 0.531748 | − | 0.846902i | \(-0.321535\pi\) |
−0.846902 | + | 0.531748i | \(0.821535\pi\) | |||||||
\(504\) | −1.83838 | + | 4.87458i | −0.0818879 | + | 0.217131i | ||||
\(505\) | −0.969886 | + | 6.58245i | −0.0431594 | + | 0.292915i | ||||
\(506\) | −15.6854 | + | 27.1679i | −0.697300 | + | 1.20776i | ||||
\(507\) | 3.37763 | − | 13.5535i | 0.150006 | − | 0.601931i | ||||
\(508\) | 32.4407 | + | 8.69245i | 1.43932 | + | 0.385665i | ||||
\(509\) | 12.5250 | 0.555161 | 0.277581 | − | 0.960702i | \(-0.410467\pi\) | ||||
0.277581 | + | 0.960702i | \(0.410467\pi\) | |||||||
\(510\) | 3.31070 | + | 1.36291i | 0.146600 | + | 0.0603507i | ||||
\(511\) | 19.6331 | + | 25.7500i | 0.868519 | + | 1.13911i | ||||
\(512\) | 19.7420 | + | 19.7420i | 0.872479 | + | 0.872479i | ||||
\(513\) | −2.51557 | + | 11.8546i | −0.111065 | + | 0.523394i | ||||
\(514\) | 25.6065 | − | 44.3518i | 1.12945 | − | 1.95627i | ||||
\(515\) | 11.2141 | + | 15.0899i | 0.494154 | + | 0.664939i | ||||
\(516\) | 4.69152 | − | 8.46599i | 0.206533 | − | 0.372695i | ||||
\(517\) | 0.938119 | + | 3.50111i | 0.0412584 | + | 0.153978i | ||||
\(518\) | 51.7740 | − | 21.2592i | 2.27482 | − | 0.934074i | ||||
\(519\) | 2.13771 | − | 3.85757i | 0.0938352 | − | 0.169328i | ||||
\(520\) | −4.18240 | + | 5.28030i | −0.183410 | + | 0.231557i | ||||
\(521\) | −19.5015 | − | 11.2592i | −0.854375 | − | 0.493274i | 0.00774958 | − | 0.999970i | \(-0.497533\pi\) |
−0.862125 | + | 0.506696i | \(0.830867\pi\) | |||||||
\(522\) | −26.9221 | − | 25.0939i | −1.17835 | − | 1.09833i | ||||
\(523\) | −3.31209 | + | 12.3609i | −0.144827 | + | 0.540504i | 0.854936 | + | 0.518734i | \(0.173597\pi\) |
−0.999763 | + | 0.0217693i | \(0.993070\pi\) | |||||||
\(524\) | −7.27219 | − | 12.5958i | −0.317687 | − | 0.550250i | ||||
\(525\) | −17.9483 | − | 14.2428i | −0.783330 | − | 0.621606i | ||||
\(526\) | −24.9205 | + | 43.1635i | −1.08658 | + | 1.88202i | ||||
\(527\) | −1.24573 | − | 1.24573i | −0.0542648 | − | 0.0542648i | ||||
\(528\) | 7.39560 | + | 25.7805i | 0.321852 | + | 1.12195i | ||||
\(529\) | − | 0.427411i | − | 0.0185831i | ||||||
\(530\) | 7.17933 | + | 18.1162i | 0.311850 | + | 0.786917i | ||||
\(531\) | 21.6806 | − | 13.5544i | 0.940858 | − | 0.588210i | ||||
\(532\) | −1.36554 | + | 10.1314i | −0.0592037 | + | 0.439252i | ||||
\(533\) | −55.3722 | − | 14.8369i | −2.39843 | − | 0.642659i | ||||
\(534\) | −15.1957 | + | 0.266961i | −0.657581 | + | 0.0115525i | ||||
\(535\) | −8.64573 | + | 19.9964i | −0.373788 | + | 0.864522i | ||||
\(536\) | 3.84358 | + | 6.65728i | 0.166018 | + | 0.287551i | ||||
\(537\) | 25.1189 | − | 7.20579i | 1.08396 | − | 0.310953i | ||||
\(538\) | −7.13795 | + | 26.6392i | −0.307739 | + | 1.14850i | ||||
\(539\) | −16.8792 | + | 16.6728i | −0.727040 | + | 0.718149i | ||||
\(540\) | −18.0469 | − | 6.69812i | −0.776616 | − | 0.288241i | ||||
\(541\) | −6.60820 | − | 11.4457i | −0.284109 | − | 0.492091i | 0.688284 | − | 0.725441i | \(-0.258364\pi\) |
−0.972393 | + | 0.233351i | \(0.925031\pi\) | |||||||
\(542\) | 0.0139672 | − | 0.0139672i | 0.000599944 | − | 0.000599944i | ||||
\(543\) | −3.60326 | − | 3.47884i | −0.154631 | − | 0.149291i | ||||
\(544\) | −3.58877 | −0.153867 | ||||||||
\(545\) | 6.67298 | + | 5.28550i | 0.285839 | + | 0.226406i | ||||
\(546\) | −39.7948 | + | 5.82690i | −1.70306 | + | 0.249368i | ||||
\(547\) | 8.91614 | − | 33.2755i | 0.381227 | − | 1.42276i | −0.462803 | − | 0.886461i | \(-0.653156\pi\) |
0.844030 | − | 0.536296i | \(-0.180177\pi\) | |||||||
\(548\) | −26.2329 | − | 7.02908i | −1.12061 | − | 0.300267i | ||||
\(549\) | −5.05179 | + | 9.50622i | −0.215605 | + | 0.405715i | ||||
\(550\) | −32.3912 | − | 0.997440i | −1.38116 | − | 0.0425310i | ||||
\(551\) | 12.9575 | + | 7.48101i | 0.552008 | + | 0.318702i | ||||
\(552\) | −3.95866 | − | 3.82197i | −0.168492 | − | 0.162674i | ||||
\(553\) | −0.208778 | + | 1.54900i | −0.00887815 | + | 0.0658700i | ||||
\(554\) | 27.8828 | + | 16.0982i | 1.18463 | + | 0.683945i | ||||
\(555\) | −16.4819 | − | 39.5473i | −0.699617 | − | 1.67869i | ||||
\(556\) | − | 6.31576i | − | 0.267848i | ||||||
\(557\) | 7.25617 | − | 1.94429i | 0.307454 | − | 0.0823820i | −0.101793 | − | 0.994806i | \(-0.532458\pi\) |
0.409247 | + | 0.912424i | \(0.365791\pi\) | |||||||
\(558\) | 15.2935 | + | 14.2549i | 0.647424 | + | 0.603459i | ||||
\(559\) | −15.4805 | −0.654756 | ||||||||
\(560\) | 25.9740 | + | 7.47644i | 1.09760 | + | 0.315937i | ||||
\(561\) | −2.48223 | − | 1.37556i | −0.104800 | − | 0.0580760i | ||||
\(562\) | −21.6657 | − | 21.6657i | −0.913911 | − | 0.913911i | ||||
\(563\) | 10.5231 | − | 39.2728i | 0.443496 | − | 1.65515i | −0.276380 | − | 0.961048i | \(-0.589135\pi\) |
0.719877 | − | 0.694102i | \(-0.244198\pi\) | |||||||
\(564\) | 3.06832 | − | 0.0539051i | 0.129200 | − | 0.00226981i | ||||
\(565\) | 2.55141 | + | 21.9903i | 0.107339 | + | 0.925140i | ||||
\(566\) | − | 30.0288i | − | 1.26221i | ||||||
\(567\) | 10.5688 | + | 21.3378i | 0.443849 | + | 0.896102i | ||||
\(568\) | −0.232071 | + | 0.232071i | −0.00973750 | + | 0.00973750i | ||||
\(569\) | 10.6787 | + | 6.16534i | 0.447674 | + | 0.258465i | 0.706847 | − | 0.707366i | \(-0.250117\pi\) |
−0.259173 | + | 0.965831i | \(0.583450\pi\) | |||||||
\(570\) | 17.1299 | + | 2.21732i | 0.717495 | + | 0.0928731i | ||||
\(571\) | −11.0449 | − | 19.1303i | −0.462214 | − | 0.800579i | 0.536857 | − | 0.843673i | \(-0.319612\pi\) |
−0.999071 | + | 0.0430948i | \(0.986278\pi\) | |||||||
\(572\) | −18.2236 | + | 18.2236i | −0.761967 | + | 0.761967i | ||||
\(573\) | −8.29410 | − | 28.9126i | −0.346491 | − | 1.20784i | ||||
\(574\) | 8.05562 | + | 62.6776i | 0.336235 | + | 2.61611i | ||||
\(575\) | 21.3211 | − | 11.4496i | 0.889153 | − | 0.477483i | ||||
\(576\) | 15.1674 | − | 0.533092i | 0.631973 | − | 0.0222122i | ||||
\(577\) | −6.43891 | − | 24.0303i | −0.268055 | − | 1.00040i | −0.960354 | − | 0.278785i | \(-0.910068\pi\) |
0.692298 | − | 0.721611i | \(-0.256598\pi\) | |||||||
\(578\) | −22.6710 | + | 22.6710i | −0.942990 | + | 0.942990i | ||||
\(579\) | −21.6208 | + | 12.9944i | −0.898529 | + | 0.540029i | ||||
\(580\) | −14.7566 | + | 18.6303i | −0.612735 | + | 0.773582i | ||||
\(581\) | 18.4331 | − | 2.36910i | 0.764733 | − | 0.0982870i | ||||
\(582\) | −12.1667 | + | 12.6018i | −0.504324 | + | 0.522361i | ||||
\(583\) | −3.99779 | − | 14.9200i | −0.165572 | − | 0.617921i | ||||
\(584\) | −4.01656 | + | 6.95688i | −0.166206 | + | 0.287878i | ||||
\(585\) | 4.62040 | + | 30.4393i | 0.191030 | + | 1.25851i | ||||
\(586\) | 26.7642 | − | 15.4523i | 1.10562 | − | 0.638328i | ||||
\(587\) | 30.2281 | + | 8.09961i | 1.24765 | + | 0.334307i | 0.821428 | − | 0.570312i | \(-0.193178\pi\) |
0.426221 | + | 0.904619i | \(0.359844\pi\) | |||||||
\(588\) | 10.2415 | + | 17.2802i | 0.422352 | + | 0.712624i | ||||
\(589\) | −7.36069 | − | 4.24969i | −0.303292 | − | 0.175106i | ||||
\(590\) | −21.7380 | − | 29.2509i | −0.894939 | − | 1.20424i | ||||
\(591\) | −1.65060 | + | 0.0289981i | −0.0678964 | + | 0.00119282i | ||||
\(592\) | 35.7374 | + | 35.7374i | 1.46880 | + | 1.46880i | ||||
\(593\) | 8.87319 | − | 33.1152i | 0.364378 | − | 1.35988i | −0.503883 | − | 0.863772i | \(-0.668096\pi\) |
0.868262 | − | 0.496106i | \(-0.165237\pi\) | |||||||
\(594\) | 30.0124 | + | 15.2792i | 1.23142 | + | 0.626915i | ||||
\(595\) | −2.50275 | + | 1.38398i | −0.102603 | + | 0.0567377i | ||||
\(596\) | −0.782450 | − | 1.35524i | −0.0320504 | − | 0.0555129i | ||||
\(597\) | 3.51524 | + | 12.2539i | 0.143869 | + | 0.501517i | ||||
\(598\) | 10.9947 | − | 41.0326i | 0.449605 | − | 1.67795i | ||||
\(599\) | −4.50450 | + | 2.60067i | −0.184049 | + | 0.106261i | −0.589194 | − | 0.807992i | \(-0.700554\pi\) |
0.405145 | + | 0.914253i | \(0.367221\pi\) | |||||||
\(600\) | 1.54364 | − | 5.47066i | 0.0630187 | − | 0.223339i | ||||
\(601\) | 33.5248 | − | 19.3556i | 1.36751 | − | 0.789530i | 0.376897 | − | 0.926255i | \(-0.376991\pi\) |
0.990609 | + | 0.136725i | \(0.0436578\pi\) | |||||||
\(602\) | 6.48200 | + | 15.7861i | 0.264186 | + | 0.643393i | ||||
\(603\) | 34.2366 | + | 7.89598i | 1.39422 | + | 0.321549i | ||||
\(604\) | −11.3079 | + | 6.52864i | −0.460114 | + | 0.265647i | ||||
\(605\) | 1.07861 | + | 0.158927i | 0.0438518 | + | 0.00646131i | ||||
\(606\) | −8.62029 | − | 4.77703i | −0.350175 | − | 0.194054i | ||||
\(607\) | 13.4492 | − | 13.4492i | 0.545885 | − | 0.545885i | −0.379363 | − | 0.925248i | \(-0.623857\pi\) |
0.925248 | + | 0.379363i | \(0.123857\pi\) | |||||||
\(608\) | −16.7239 | + | 4.48117i | −0.678246 | + | 0.181735i | ||||
\(609\) | 29.0886 | − | 4.25926i | 1.17873 | − | 0.172594i | ||||
\(610\) | 14.0838 | + | 6.08930i | 0.570235 | + | 0.246549i | ||||
\(611\) | −2.45410 | − | 4.25062i | −0.0992822 | − | 0.171962i | ||||
\(612\) | −1.63825 | + | 1.75760i | −0.0662223 | + | 0.0710469i | ||||
\(613\) | −5.07798 | − | 18.9513i | −0.205097 | − | 0.765434i | −0.989420 | − | 0.145081i | \(-0.953656\pi\) |
0.784322 | − | 0.620354i | \(-0.213011\pi\) | |||||||
\(614\) | −4.54259 | + | 7.86799i | −0.183324 | + | 0.317526i | ||||
\(615\) | 47.9470 | − | 6.41845i | 1.93341 | − | 0.258817i | ||||
\(616\) | −5.43084 | − | 2.26912i | −0.218815 | − | 0.0914255i | ||||
\(617\) | 38.3693 | − | 10.2810i | 1.54469 | − | 0.413898i | 0.616911 | − | 0.787033i | \(-0.288384\pi\) |
0.927777 | + | 0.373135i | \(0.121717\pi\) | |||||||
\(618\) | −26.7684 | + | 7.67899i | −1.07678 | + | 0.308894i | ||||
\(619\) | 7.58899 | 0.305027 | 0.152514 | − | 0.988301i | \(-0.451263\pi\) | ||||
0.152514 | + | 0.988301i | \(0.451263\pi\) | |||||||
\(620\) | 8.38271 | − | 10.5832i | 0.336658 | − | 0.425032i | ||||
\(621\) | −25.1154 | + | 1.32479i | −1.00785 | + | 0.0531621i | ||||
\(622\) | −32.7526 | + | 32.7526i | −1.31326 | + | 1.31326i | ||||
\(623\) | 7.42009 | − | 9.60871i | 0.297280 | − | 0.384965i | ||||
\(624\) | −18.7088 | − | 31.1287i | −0.748951 | − | 1.24614i | ||||
\(625\) | 20.8405 | + | 13.8085i | 0.833620 | + | 0.552338i | ||||
\(626\) | −23.2037 | + | 13.3967i | −0.927406 | + | 0.535438i | ||||
\(627\) | −13.2850 | − | 3.31072i | −0.530552 | − | 0.132218i | ||||
\(628\) | 4.93025 | − | 1.32106i | 0.196738 | − | 0.0527159i | ||||
\(629\) | −5.34772 | −0.213228 | ||||||||
\(630\) | 29.1055 | − | 17.4571i | 1.15959 | − | 0.695509i | ||||
\(631\) | −18.1019 | −0.720625 | −0.360313 | − | 0.932832i | \(-0.617330\pi\) | ||||
−0.360313 | + | 0.932832i | \(0.617330\pi\) | |||||||
\(632\) | −0.374540 | + | 0.100358i | −0.0148984 | + | 0.00399202i | ||||
\(633\) | −9.83821 | − | 34.2953i | −0.391034 | − | 1.36311i | ||||
\(634\) | −17.2201 | + | 9.94204i | −0.683898 | + | 0.394849i | ||||
\(635\) | 27.0375 | + | 36.3819i | 1.07295 | + | 1.44377i | ||||
\(636\) | −13.0756 | + | 0.229716i | −0.518483 | + | 0.00910884i | ||||
\(637\) | 16.2344 | − | 27.7236i | 0.643232 | − | 1.09845i | ||||
\(638\) | 29.4014 | − | 29.4014i | 1.16401 | − | 1.16401i | ||||
\(639\) | 0.0526912 | + | 1.49915i | 0.00208443 | + | 0.0593056i | ||||
\(640\) | 1.33328 | + | 11.4914i | 0.0527025 | + | 0.454237i | ||||
\(641\) | 26.2867 | 1.03826 | 0.519132 | − | 0.854694i | \(-0.326255\pi\) | ||||
0.519132 | + | 0.854694i | \(0.326255\pi\) | |||||||
\(642\) | −23.2152 | − | 22.4136i | −0.916231 | − | 0.884594i | ||||
\(643\) | −40.7272 | + | 10.9128i | −1.60612 | + | 0.430360i | −0.946884 | − | 0.321574i | \(-0.895788\pi\) |
−0.659239 | + | 0.751933i | \(0.729121\pi\) | |||||||
\(644\) | −21.0433 | + | 2.70458i | −0.829222 | + | 0.106575i | ||||
\(645\) | 12.0581 | − | 5.02538i | 0.474788 | − | 0.197874i | ||||
\(646\) | 1.07798 | − | 1.86711i | 0.0424124 | − | 0.0734605i | ||||
\(647\) | −8.26791 | − | 30.8563i | −0.325045 | − | 1.21309i | −0.914266 | − | 0.405113i | \(-0.867232\pi\) |
0.589221 | − | 0.807972i | \(-0.299435\pi\) | |||||||
\(648\) | −3.87350 | + | 4.46002i | −0.152165 | + | 0.175206i | ||||
\(649\) | 14.4436 | + | 25.0170i | 0.566961 | + | 0.982005i | ||||
\(650\) | 42.7169 | − | 10.0477i | 1.67550 | − | 0.394101i | ||||
\(651\) | −16.5242 | + | 2.41953i | −0.647635 | + | 0.0948290i | ||||
\(652\) | −19.1718 | + | 5.13708i | −0.750827 | + | 0.201184i | ||||
\(653\) | −28.6823 | + | 28.6823i | −1.12242 | + | 1.12242i | −0.131049 | + | 0.991376i | \(0.541834\pi\) |
−0.991376 | + | 0.131049i | \(0.958166\pi\) | |||||||
\(654\) | −10.8075 | + | 6.49546i | −0.422606 | + | 0.253992i | ||||
\(655\) | 2.86147 | − | 19.4203i | 0.111807 | − | 0.758814i | ||||
\(656\) | −49.4189 | + | 28.5320i | −1.92948 | + | 1.11399i | ||||
\(657\) | 10.7428 | + | 35.1097i | 0.419117 | + | 1.36976i | ||||
\(658\) | −3.30695 | + | 4.28236i | −0.128918 | + | 0.166944i | ||||
\(659\) | −7.92974 | + | 4.57824i | −0.308899 | + | 0.178343i | −0.646434 | − | 0.762970i | \(-0.723740\pi\) |
0.337535 | + | 0.941313i | \(0.390407\pi\) | |||||||
\(660\) | 8.27890 | − | 20.1106i | 0.322256 | − | 0.782804i | ||||
\(661\) | −3.27077 | + | 1.88838i | −0.127218 | + | 0.0734496i | −0.562259 | − | 0.826961i | \(-0.690067\pi\) |
0.435040 | + | 0.900411i | \(0.356734\pi\) | |||||||
\(662\) | −12.5245 | + | 46.7422i | −0.486780 | + | 1.81669i | ||||
\(663\) | 3.72883 | + | 0.929253i | 0.144816 | + | 0.0360892i | ||||
\(664\) | 2.30526 | + | 3.99283i | 0.0894615 | + | 0.154952i | ||||
\(665\) | −9.93490 | + | 9.57456i | −0.385259 | + | 0.371286i | ||||
\(666\) | 63.4234 | − | 2.22917i | 2.45761 | − | 0.0863784i | ||||
\(667\) | −8.03671 | + | 29.9934i | −0.311183 | + | 1.16135i | ||||
\(668\) | 1.73485 | + | 1.73485i | 0.0671234 | + | 0.0671234i | ||||
\(669\) | 22.5067 | + | 37.4478i | 0.870159 | + | 1.44782i | ||||
\(670\) | 7.30004 | − | 49.5441i | 0.282025 | − | 1.91406i | ||||
\(671\) | −10.5328 | − | 6.08112i | −0.406614 | − | 0.234759i | ||||
\(672\) | −20.3168 | + | 27.2872i | −0.783738 | + | 1.05262i | ||||
\(673\) | −31.8835 | − | 8.54316i | −1.22902 | − | 0.329315i | −0.414822 | − | 0.909903i | \(-0.636156\pi\) |
−0.814198 | + | 0.580588i | \(0.802823\pi\) | |||||||
\(674\) | 25.8397 | − | 14.9186i | 0.995310 | − | 0.574642i | ||||
\(675\) | −13.4803 | − | 22.2099i | −0.518858 | − | 0.854861i | ||||
\(676\) | 6.68042 | − | 11.5708i | 0.256939 | − | 0.445031i | ||||
\(677\) | 7.22989 | + | 26.9823i | 0.277867 | + | 1.03701i | 0.953895 | + | 0.300139i | \(0.0970331\pi\) |
−0.676028 | + | 0.736876i | \(0.736300\pi\) | |||||||
\(678\) | −31.8182 | − | 7.92935i | −1.22197 | − | 0.304525i | ||||
\(679\) | −1.78369 | − | 13.8782i | −0.0684518 | − | 0.532597i | ||||
\(680\) | −0.556166 | − | 0.440526i | −0.0213280 | − | 0.0168934i | ||||
\(681\) | −0.0642105 | − | 3.65492i | −0.00246055 | − | 0.140057i | ||||
\(682\) | −16.7019 | + | 16.7019i | −0.639548 | + | 0.639548i | ||||
\(683\) | −6.61847 | − | 24.7005i | −0.253249 | − | 0.945138i | −0.969056 | − | 0.246840i | \(-0.920608\pi\) |
0.715807 | − | 0.698298i | \(-0.246059\pi\) | |||||||
\(684\) | −5.43971 | + | 10.2362i | −0.207993 | + | 0.391391i | ||||
\(685\) | −21.8636 | − | 29.4199i | −0.835366 | − | 1.12408i | ||||
\(686\) | −35.0685 | − | 4.94647i | −1.33892 | − | 0.188857i | ||||
\(687\) | −17.3892 | + | 18.0111i | −0.663440 | + | 0.687168i | ||||
\(688\) | −10.8964 | + | 10.8964i | −0.415423 | + | 0.415423i | ||||
\(689\) | 10.4581 | + | 18.1140i | 0.398423 | + | 0.690089i | ||||
\(690\) | 4.75628 | + | 35.5303i | 0.181069 | + | 1.35262i | ||||
\(691\) | −1.66009 | − | 0.958451i | −0.0631527 | − | 0.0364612i | 0.468091 | − | 0.883680i | \(-0.344942\pi\) |
−0.531244 | + | 0.847219i | \(0.678275\pi\) | |||||||
\(692\) | 2.98299 | − | 2.98299i | 0.113396 | − | 0.113396i | ||||
\(693\) | −24.5115 | + | 11.0863i | −0.931114 | + | 0.421133i | ||||
\(694\) | 6.87285i | 0.260890i | ||||||||
\(695\) | 5.29264 | − | 6.68199i | 0.200761 | − | 0.253462i | ||||
\(696\) | 3.75704 | + | 6.25116i | 0.142410 | + | 0.236950i | ||||
\(697\) | 1.56275 | − | 5.83227i | 0.0591934 | − | 0.220913i | ||||
\(698\) | 36.3232 | + | 36.3232i | 1.37486 | + | 1.37486i | ||||
\(699\) | 9.46611 | − | 5.68927i | 0.358041 | − | 0.215188i | ||||
\(700\) | −12.7459 | − | 17.8296i | −0.481749 | − | 0.673894i | ||||
\(701\) | −13.5184 | −0.510582 | −0.255291 | − | 0.966864i | \(-0.582171\pi\) | ||||
−0.255291 | + | 0.966864i | \(0.582171\pi\) | |||||||
\(702\) | −44.6109 | − | 9.46651i | −1.68373 | − | 0.357290i | ||||
\(703\) | −24.9208 | + | 6.67751i | −0.939906 | + | 0.251847i | ||||
\(704\) | 17.1463i | 0.646226i | ||||||||
\(705\) | 3.29141 | + | 2.51424i | 0.123962 | + | 0.0946917i | ||||
\(706\) | −31.4155 | − | 18.1378i | −1.18234 | − | 0.682623i | ||||
\(707\) | 7.28252 | − | 2.99031i | 0.273887 | − | 0.112462i | ||||
\(708\) | 23.5093 | − | 6.74406i | 0.883533 | − | 0.253457i | ||||
\(709\) | 8.55965 | + | 4.94192i | 0.321464 | + | 0.185598i | 0.652045 | − | 0.758180i | \(-0.273911\pi\) |
−0.330581 | + | 0.943778i | \(0.607245\pi\) | |||||||
\(710\) | 2.12384 | − | 0.246417i | 0.0797064 | − | 0.00924787i | ||||
\(711\) | −0.831680 | + | 1.56502i | −0.0311904 | + | 0.0586927i | ||||
\(712\) | 2.90915 | + | 0.779503i | 0.109025 | + | 0.0292131i | ||||
\(713\) | 4.56537 | − | 17.0382i | 0.170974 | − | 0.638085i | ||||
\(714\) | −0.613738 | − | 4.19153i | −0.0229686 | − | 0.156864i | ||||
\(715\) | −34.5518 | + | 4.00884i | −1.29216 | + | 0.149922i | ||||
\(716\) | 24.9961 | 0.934147 | ||||||||
\(717\) | 0.513820 | − | 0.147398i | 0.0191889 | − | 0.00550469i | ||||
\(718\) | −7.40269 | + | 7.40269i | −0.276266 | + | 0.276266i | ||||
\(719\) | −21.3096 | − | 36.9094i | −0.794715 | − | 1.37649i | −0.923020 | − | 0.384752i | \(-0.874287\pi\) |
0.128305 | − | 0.991735i | \(-0.459046\pi\) | |||||||
\(720\) | 24.6779 | + | 18.1734i | 0.919690 | + | 0.677284i | ||||
\(721\) | 8.57601 | − | 20.5255i | 0.319387 | − | 0.764411i | ||||
\(722\) | −6.71163 | + | 25.0481i | −0.249781 | + | 0.932195i | ||||
\(723\) | 16.9904 | + | 16.4038i | 0.631882 | + | 0.610063i | ||||
\(724\) | −2.39543 | − | 4.14901i | −0.0890254 | − | 0.154197i | ||||
\(725\) | −31.2246 | + | 7.34449i | −1.15965 | + | 0.272767i | ||||
\(726\) | −0.782773 | + | 1.41254i | −0.0290514 | + | 0.0524241i | ||||
\(727\) | −39.8836 | − | 10.6868i | −1.47920 | − | 0.396351i | −0.573126 | − | 0.819467i | \(-0.694270\pi\) |
−0.906075 | + | 0.423116i | \(0.860936\pi\) | |||||||
\(728\) | 7.89875 | + | 1.06462i | 0.292747 | + | 0.0394573i | ||||
\(729\) | 2.84050 | + | 26.8502i | 0.105204 | + | 0.994451i | ||||
\(730\) | 48.6517 | − | 19.2803i | 1.80068 | − | 0.713598i | ||||
\(731\) | − | 1.63054i | − | 0.0603077i | ||||||
\(732\) | −7.15221 | + | 7.40801i | −0.264353 | + | 0.273808i | ||||
\(733\) | 9.38856 | + | 9.38856i | 0.346774 | + | 0.346774i | 0.858907 | − | 0.512132i | \(-0.171144\pi\) |
−0.512132 | + | 0.858907i | \(0.671144\pi\) | |||||||
\(734\) | 32.3032 | − | 55.9508i | 1.19233 | − | 2.06518i | ||||
\(735\) | −3.64555 | + | 26.8647i | −0.134468 | + | 0.990918i | ||||
\(736\) | −17.9662 | − | 31.1184i | −0.662244 | − | 1.14704i | ||||
\(737\) | −10.2738 | + | 38.3425i | −0.378442 | + | 1.41236i | ||||
\(738\) | −16.1029 | + | 69.8215i | −0.592757 | + | 2.57016i | ||||
\(739\) | −29.1332 | − | 16.8200i | −1.07168 | − | 0.618735i | −0.143040 | − | 0.989717i | \(-0.545688\pi\) |
−0.928640 | + | 0.370982i | \(0.879021\pi\) | |||||||
\(740\) | −4.72322 | − | 40.7089i | −0.173629 | − | 1.49649i | ||||
\(741\) | 18.5370 | − | 0.325662i | 0.680972 | − | 0.0119635i | ||||
\(742\) | 14.0925 | − | 18.2493i | 0.517353 | − | 0.669951i | ||||
\(743\) | −0.278525 | − | 1.03947i | −0.0102181 | − | 0.0381345i | 0.960629 | − | 0.277836i | \(-0.0896171\pi\) |
−0.970847 | + | 0.239701i | \(0.922950\pi\) | |||||||
\(744\) | −2.13424 | − | 3.55106i | −0.0782450 | − | 0.130188i | ||||
\(745\) | 0.307880 | − | 2.08953i | 0.0112798 | − | 0.0765543i | ||||
\(746\) | −19.0914 | + | 33.0673i | −0.698986 | + | 1.21068i | ||||
\(747\) | 20.5340 | + | 4.73576i | 0.751301 | + | 0.173272i | ||||
\(748\) | −1.91946 | − | 1.91946i | −0.0701826 | − | 0.0701826i | ||||
\(749\) | 25.5666 | − | 3.28594i | 0.934184 | − | 0.120066i | ||||
\(750\) | −30.0114 | + | 21.6934i | −1.09586 | + | 0.792129i | ||||
\(751\) | −9.18174 | −0.335046 | −0.167523 | − | 0.985868i | \(-0.553577\pi\) | ||||
−0.167523 | + | 0.985868i | \(0.553577\pi\) | |||||||
\(752\) | −4.71933 | − | 1.26454i | −0.172096 | − | 0.0461130i | ||||
\(753\) | 27.8970 | + | 26.9337i | 1.01662 | + | 0.981520i | ||||
\(754\) | −28.1523 | + | 48.7611i | −1.02524 | + | 1.77578i | ||||
\(755\) | −17.4347 | − | 2.56890i | −0.634513 | − | 0.0934918i | ||||
\(756\) | 4.08943 | + | 22.4066i | 0.148731 | + | 0.814920i | ||||
\(757\) | 8.34436 | + | 8.34436i | 0.303281 | + | 0.303281i | 0.842296 | − | 0.539015i | \(-0.181203\pi\) |
−0.539015 | + | 0.842296i | \(0.681203\pi\) | |||||||
\(758\) | −4.22868 | − | 15.7816i | −0.153592 | − | 0.573215i | ||||
\(759\) | −0.499113 | − | 28.4099i | −0.0181166 | − | 1.03121i | ||||
\(760\) | −3.14185 | − | 1.35842i | −0.113967 | − | 0.0492751i | ||||
\(761\) | 15.2244i | 0.551883i | 0.961174 | + | 0.275942i | \(0.0889896\pi\) | ||||
−0.961174 | + | 0.275942i | \(0.911010\pi\) | |||||||
\(762\) | −64.5390 | + | 18.5142i | −2.33800 | + | 0.670698i | ||||
\(763\) | 1.34541 | − | 9.98204i | 0.0487070 | − | 0.361374i | ||||
\(764\) | − | 28.7713i | − | 1.04091i | ||||||
\(765\) | −3.20613 | + | 0.486660i | −0.115918 | + | 0.0175952i | ||||
\(766\) | 9.15408 | + | 5.28511i | 0.330750 | + | 0.190959i | ||||
\(767\) | −27.6599 | − | 27.6599i | −0.998742 | − | 0.998742i | ||||
\(768\) | −33.6316 | − | 8.38125i | −1.21357 | − | 0.302432i | ||||
\(769\) | 19.5036 | − | 33.7812i | 0.703316 | − | 1.21818i | −0.263979 | − | 0.964528i | \(-0.585035\pi\) |
0.967296 | − | 0.253651i | \(-0.0816316\pi\) | |||||||
\(770\) | 18.5555 | + | 33.5552i | 0.668693 | + | 1.20925i | ||||
\(771\) | 0.814806 | + | 46.3795i | 0.0293445 | + | 1.67032i | ||||
\(772\) | −23.3066 | + | 6.24498i | −0.838823 | + | 0.224762i | ||||
\(773\) | −24.0970 | + | 6.45677i | −0.866708 | + | 0.232234i | −0.664664 | − | 0.747143i | \(-0.731425\pi\) |
−0.202045 | + | 0.979376i | \(0.564759\pi\) | |||||||
\(774\) | 0.679681 | + | 19.3380i | 0.0244306 | + | 0.695091i | ||||
\(775\) | 17.7376 | − | 4.17214i | 0.637152 | − | 0.149868i | ||||
\(776\) | 3.00619 | − | 1.73563i | 0.107916 | − | 0.0623053i | ||||
\(777\) | −30.2746 | + | 40.6613i | −1.08610 | + | 1.45872i | ||||
\(778\) | 10.5842 | + | 39.5007i | 0.379461 | + | 1.41617i | ||||
\(779\) | − | 29.1302i | − | 1.04370i | ||||||
\(780\) | −3.78045 | + | 29.2060i | −0.135362 | + | 1.04574i | ||||
\(781\) | −1.69475 | −0.0606431 | ||||||||
\(782\) | 4.32190 | + | 1.15805i | 0.154551 | + | 0.0414118i | ||||
\(783\) | 32.6090 | + | 6.91969i | 1.16535 | + | 0.247290i | ||||
\(784\) | −8.08702 | − | 30.9413i | −0.288822 | − | 1.10505i | ||||
\(785\) | 6.32319 | + | 2.73392i | 0.225684 | + | 0.0975777i | ||||
\(786\) | 25.4326 | + | 14.0937i | 0.907150 | + | 0.502707i | ||||
\(787\) | 36.8540 | + | 9.87501i | 1.31370 | + | 0.352006i | 0.846616 | − | 0.532204i | \(-0.178636\pi\) |
0.467089 | + | 0.884210i | \(0.345303\pi\) | |||||||
\(788\) | −1.52528 | − | 0.408699i | −0.0543360 | − | 0.0145593i | ||||
\(789\) | −0.792976 | − | 45.1368i | −0.0282307 | − | 1.60691i | ||||
\(790\) | 2.31862 | + | 1.00249i | 0.0824929 | + | 0.0356669i | ||||
\(791\) | 20.8299 | − | 15.8818i | 0.740627 | − | 0.564692i | ||||
\(792\) | −4.88201 | − | 4.55048i | −0.173475 | − | 0.161694i | ||||
\(793\) | 15.9081 | + | 4.26256i | 0.564913 | + | 0.151368i | ||||
\(794\) | −4.04875 | −0.143685 | ||||||||
\(795\) | −14.0264 | − | 10.7144i | −0.497464 | − | 0.380001i | ||||
\(796\) | 12.1940i | 0.432204i | ||||||||
\(797\) | −3.87024 | − | 14.4439i | −0.137091 | − | 0.511631i | −0.999981 | − | 0.00623812i | \(-0.998014\pi\) |
0.862889 | − | 0.505393i | \(-0.168652\pi\) | |||||||
\(798\) | −8.09388 | − | 18.7665i | −0.286520 | − | 0.664327i | ||||
\(799\) | 0.447712 | − | 0.258487i | 0.0158389 | − | 0.00914460i | ||||
\(800\) | 19.5401 | − | 31.5594i | 0.690846 | − | 1.11579i | ||||
\(801\) | 11.6723 | − | 7.29736i | 0.412422 | − | 0.257840i | ||||
\(802\) | 56.8289 | − | 15.2273i | 2.00670 | − | 0.537693i | ||||
\(803\) | −40.0680 | + | 10.7362i | −1.41397 | + | 0.378872i | ||||
\(804\) | 29.3961 | + | 16.2902i | 1.03672 | + | 0.574510i | ||||
\(805\) | −24.5300 | − | 14.7730i | −0.864567 | − | 0.520679i | ||||
\(806\) | 15.9923 | − | 27.6995i | 0.563304 | − | 0.975672i | ||||
\(807\) | −6.88809 | − | 24.0114i | −0.242472 | − | 0.845240i | ||||
\(808\) | 1.38101 | + | 1.38101i | 0.0485836 | + | 0.0485836i | ||||
\(809\) | 17.3661 | + | 10.0263i | 0.610560 | + | 0.352507i | 0.773184 | − | 0.634181i | \(-0.218663\pi\) |
−0.162625 | + | 0.986688i | \(0.551996\pi\) | |||||||
\(810\) | 37.8215 | − | 7.10819i | 1.32891 | − | 0.249756i | ||||
\(811\) | 50.9990i | 1.79082i | 0.445245 | + | 0.895409i | \(0.353117\pi\) | ||||
−0.445245 | + | 0.895409i | \(0.646883\pi\) | |||||||
\(812\) | 27.8689 | + | 3.75625i | 0.978007 | + | 0.131819i | ||||
\(813\) | −0.00432629 | + | 0.0173602i | −0.000151730 | + | 0.000608847i | ||||
\(814\) | 71.6986i | 2.51304i | ||||||||
\(815\) | −24.5884 | − | 10.6311i | −0.861296 | − | 0.372393i | ||||
\(816\) | 3.27874 | − | 1.97057i | 0.114779 | − | 0.0689837i | ||||
\(817\) | −2.03600 | − | 7.59844i | −0.0712305 | − | 0.265836i | ||||
\(818\) | 7.44085 | + | 7.44085i | 0.260163 | + | 0.260163i | ||||
\(819\) | 28.1753 | − | 23.0914i | 0.984524 | − | 0.806878i | ||||
\(820\) | 45.7777 | + | 6.74508i | 1.59863 | + | 0.235548i | ||||
\(821\) | −8.91505 | + | 15.4413i | −0.311137 | + | 0.538906i | −0.978609 | − | 0.205730i | \(-0.934043\pi\) |
0.667472 | + | 0.744635i | \(0.267377\pi\) | |||||||
\(822\) | 52.1889 | − | 14.9713i | 1.82030 | − | 0.522185i | ||||
\(823\) | 17.2872 | + | 4.63209i | 0.602593 | + | 0.161464i | 0.547202 | − | 0.837000i | \(-0.315693\pi\) |
0.0553909 | + | 0.998465i | \(0.482359\pi\) | |||||||
\(824\) | 5.51861 | 0.192250 | ||||||||
\(825\) | 25.6118 | − | 14.3390i | 0.891687 | − | 0.499219i | ||||
\(826\) | −16.6241 | + | 39.7876i | −0.578428 | + | 1.38439i | ||||
\(827\) | −2.35712 | − | 2.35712i | −0.0819652 | − | 0.0819652i | 0.664936 | − | 0.746901i | \(-0.268459\pi\) |
−0.746901 | + | 0.664936i | \(0.768459\pi\) | |||||||
\(828\) | −23.4418 | − | 5.40637i | −0.814657 | − | 0.187884i | ||||
\(829\) | −6.14464 | + | 10.6428i | −0.213412 | + | 0.369641i | −0.952780 | − | 0.303661i | \(-0.901791\pi\) |
0.739368 | + | 0.673301i | \(0.235124\pi\) | |||||||
\(830\) | 4.37833 | − | 29.7150i | 0.151974 | − | 1.03142i | ||||
\(831\) | −29.1576 | + | 0.512248i | −1.01146 | + | 0.0177697i | ||||
\(832\) | −6.00935 | − | 22.4272i | −0.208337 | − | 0.777524i | ||||
\(833\) | 2.92009 | + | 1.70995i | 0.101175 | + | 0.0592463i | ||||
\(834\) | 6.50423 | + | 10.8221i | 0.225223 | + | 0.374738i | ||||
\(835\) | 0.381634 | + | 3.28926i | 0.0132070 | + | 0.113830i | ||||
\(836\) | −11.3416 | − | 6.54809i | −0.392258 | − | 0.226470i | ||||
\(837\) | −18.5240 | − | 3.93083i | −0.640284 | − | 0.135869i | ||||
\(838\) | 3.69618 | − | 13.7943i | 0.127682 | − | 0.476517i | ||||
\(839\) | 17.9841 | + | 31.1494i | 0.620880 | + | 1.07540i | 0.989322 | + | 0.145746i | \(0.0465581\pi\) |
−0.368442 | + | 0.929651i | \(0.620109\pi\) | |||||||
\(840\) | −6.49811 | + | 1.73489i | −0.224206 | + | 0.0598593i | ||||
\(841\) | 6.07833 | − | 10.5280i | 0.209598 | − | 0.363034i | ||||
\(842\) | 46.7233 | + | 46.7233i | 1.61019 | + | 1.61019i | ||||
\(843\) | 26.9287 | + | 6.71085i | 0.927474 | + | 0.231134i | ||||
\(844\) | − | 34.1276i | − | 1.17472i | ||||||
\(845\) | 16.7642 | − | 6.64354i | 0.576706 | − | 0.228545i | ||||
\(846\) | −5.20207 | + | 3.25225i | −0.178851 | + | 0.111815i | ||||
\(847\) | −0.489997 | − | 1.19333i | −0.0168365 | − | 0.0410032i | ||||
\(848\) | 20.1114 | + | 5.38884i | 0.690629 | + | 0.185053i | ||||
\(849\) | 14.0111 | + | 23.3124i | 0.480859 | + | 0.800079i | ||||
\(850\) | 1.05830 | + | 4.49931i | 0.0362995 | + | 0.154325i | ||||
\(851\) | −26.7720 | − | 46.3704i | −0.917732 | − | 1.58956i | ||||
\(852\) | −0.346970 | + | 1.39229i | −0.0118870 | + | 0.0476991i | ||||
\(853\) | −7.68125 | + | 28.6668i | −0.263001 | + | 0.981533i | 0.700462 | + | 0.713690i | \(0.252977\pi\) |
−0.963463 | + | 0.267843i | \(0.913689\pi\) | |||||||
\(854\) | −2.31433 | − | 18.0069i | −0.0791948 | − | 0.616183i | ||||
\(855\) | −14.3331 | + | 6.27125i | −0.490183 | + | 0.214472i | ||||
\(856\) | 3.19739 | + | 5.53805i | 0.109285 | + | 0.189287i | ||||
\(857\) | −33.4970 | + | 33.4970i | −1.14424 | + | 1.14424i | −0.156570 | + | 0.987667i | \(0.550044\pi\) |
−0.987667 | + | 0.156570i | \(0.949956\pi\) | |||||||
\(858\) | 12.4588 | − | 49.9936i | 0.425336 | − | 1.70675i | ||||
\(859\) | −38.4100 | −1.31053 | −0.655267 | − | 0.755398i | \(-0.727444\pi\) | ||||
−0.655267 | + | 0.755398i | \(0.727444\pi\) | |||||||
\(860\) | 12.4123 | − | 1.44013i | 0.423256 | − | 0.0491079i | ||||
\(861\) | −35.4985 | − | 44.9001i | −1.20978 | − | 1.53019i | ||||
\(862\) | 10.7619 | − | 40.1640i | 0.366552 | − | 1.36799i | ||||
\(863\) | −5.14773 | − | 1.37933i | −0.175231 | − | 0.0469529i | 0.170137 | − | 0.985420i | \(-0.445579\pi\) |
−0.345367 | + | 0.938468i | \(0.612246\pi\) | |||||||
\(864\) | −32.3446 | + | 21.0205i | −1.10039 | + | 0.715131i | ||||
\(865\) | 5.65572 | − | 0.656200i | 0.192300 | − | 0.0223115i | ||||
\(866\) | −15.0103 | − | 8.66618i | −0.510070 | − | 0.294489i | ||||
\(867\) | 7.02225 | − | 28.1783i | 0.238488 | − | 0.956985i | ||||
\(868\) | −15.8313 | − | 2.13379i | −0.537350 | − | 0.0724256i | ||||
\(869\) | −1.73403 | − | 1.00114i | −0.0588228 | − | 0.0339614i | ||||
\(870\) | 6.09926 | − | 47.1201i | 0.206784 | − | 1.59752i | ||||
\(871\) | − | 53.7523i | − | 1.82133i | ||||||
\(872\) | 2.41361 | − | 0.646725i | 0.0817352 | − | 0.0219009i | ||||
\(873\) | 3.56554 | − | 15.4600i | 0.120675 | − | 0.523242i | ||||
\(874\) | 21.5864 | 0.730172 | ||||||||
\(875\) | 1.45629 | − | 29.5445i | 0.0492316 | − | 0.998787i | ||||
\(876\) | 0.616911 | + | 35.1151i | 0.0208435 | + | 1.18643i | ||||
\(877\) | 3.59890 | + | 3.59890i | 0.121526 | + | 0.121526i | 0.765254 | − | 0.643728i | \(-0.222613\pi\) |
−0.643728 | + | 0.765254i | \(0.722613\pi\) | |||||||
\(878\) | −10.4039 | + | 38.8279i | −0.351115 | + | 1.31038i | ||||
\(879\) | −13.5681 | + | 24.4840i | −0.457639 | + | 0.825823i | ||||
\(880\) | −21.4986 | + | 27.1421i | −0.724718 | + | 0.914960i | ||||
\(881\) | 24.3068i | 0.818917i | 0.912329 | + | 0.409458i | \(0.134282\pi\) | ||||
−0.912329 | + | 0.409458i | \(0.865718\pi\) | |||||||
\(882\) | −35.3447 | − | 19.0626i | −1.19012 | − | 0.641871i | ||||
\(883\) | 37.4948 | − | 37.4948i | 1.26180 | − | 1.26180i | 0.311580 | − | 0.950220i | \(-0.399142\pi\) |
0.950220 | − | 0.311580i | \(-0.100858\pi\) | |||||||
\(884\) | 3.18336 | + | 1.83792i | 0.107068 | + | 0.0618158i | ||||
\(885\) | 30.5240 | + | 12.5658i | 1.02605 | + | 0.422394i | ||||
\(886\) | 9.97635 | + | 17.2795i | 0.335162 | + | 0.580517i | ||||
\(887\) | −21.3122 | + | 21.3122i | −0.715592 | + | 0.715592i | −0.967699 | − | 0.252107i | \(-0.918876\pi\) |
0.252107 | + | 0.967699i | \(0.418876\pi\) | |||||||
\(888\) | −12.2031 | − | 3.04110i | −0.409508 | − | 0.102053i | ||||
\(889\) | 20.6769 | − | 49.4874i | 0.693481 | − | 1.65975i | ||||
\(890\) | −11.7032 | − | 15.7480i | −0.392293 | − | 0.527875i | ||||
\(891\) | −30.4287 | + | 2.14162i | −1.01940 | + | 0.0717471i | ||||
\(892\) | 10.8165 | + | 40.3677i | 0.362163 | + | 1.35161i | ||||
\(893\) | 1.76361 | − | 1.76361i | 0.0590170 | − | 0.0590170i | ||||
\(894\) | 2.73642 | + | 1.51642i | 0.0915194 | + | 0.0507165i | ||||
\(895\) | 26.4455 | + | 20.9468i | 0.883976 | + | 0.700176i | ||||
\(896\) | 10.8850 | − | 8.29928i | 0.363642 | − | 0.277260i | ||||
\(897\) | 10.6098 | + | 36.9850i | 0.354251 | + | 1.23489i | ||||
\(898\) | −12.8757 | − | 48.0527i | −0.429667 | − | 1.60354i | ||||
\(899\) | −11.6898 | + | 20.2474i | −0.389877 | + | 0.675287i | ||||
\(900\) | −6.53636 | − | 23.9764i | −0.217879 | − | 0.799214i | ||||
\(901\) | −1.90792 | + | 1.10154i | −0.0635621 | + | 0.0366976i | ||||
\(902\) | −78.1950 | − | 20.9523i | −2.60361 | − | 0.697635i | ||||
\(903\) | −12.3978 | − | 9.23084i | −0.412572 | − | 0.307183i | ||||
\(904\) | 5.62762 | + | 3.24911i | 0.187172 | + | 0.108064i | ||||
\(905\) | 0.942557 | − | 6.39697i | 0.0313317 | − | 0.212643i | ||||
\(906\) | 12.6527 | − | 22.8322i | 0.420359 | − | 0.758550i | ||||
\(907\) | 15.2802 | + | 15.2802i | 0.507371 | + | 0.507371i | 0.913719 | − | 0.406348i | \(-0.133198\pi\) |
−0.406348 | + | 0.913719i | \(0.633198\pi\) | |||||||
\(908\) | 0.904982 | − | 3.37744i | 0.0300329 | − | 0.112084i | ||||
\(909\) | 8.92112 | − | 0.313554i | 0.295895 | − | 0.0103999i | ||||
\(910\) | −36.0306 | − | 37.3866i | −1.19440 | − | 1.23935i | ||||
\(911\) | −28.0026 | − | 48.5019i | −0.927767 | − | 1.60694i | −0.787049 | − | 0.616890i | \(-0.788392\pi\) |
−0.140718 | − | 0.990050i | \(-0.544941\pi\) | |||||||
\(912\) | 12.8186 | − | 13.2771i | 0.424466 | − | 0.439647i | ||||
\(913\) | −6.16193 | + | 22.9966i | −0.203930 | + | 0.761078i | ||||
\(914\) | 49.3514 | − | 28.4930i | 1.63240 | − | 0.942465i | ||||
\(915\) | −13.7749 | + | 1.84398i | −0.455384 | + | 0.0609601i | ||||
\(916\) | −20.7391 | + | 11.9737i | −0.685239 | + | 0.395623i | ||||
\(917\) | −21.4857 | + | 8.82236i | −0.709522 | + | 0.291340i | ||||
\(918\) | 0.997093 | − | 4.69880i | 0.0329090 | − | 0.155083i | ||||
\(919\) | 25.9739 | − | 14.9960i | 0.856798 | − | 0.494673i | −0.00614044 | − | 0.999981i | \(-0.501955\pi\) |
0.862939 | + | 0.505308i | \(0.168621\pi\) | |||||||
\(920\) | 1.03552 | − | 7.02793i | 0.0341402 | − | 0.231704i | ||||
\(921\) | −0.144546 | − | 8.22770i | −0.00476296 | − | 0.271112i | ||||
\(922\) | 48.2295 | − | 48.2295i | 1.58835 | − | 1.58835i | ||||
\(923\) | 2.21672 | − | 0.593969i | 0.0729643 | − | 0.0195507i | ||||
\(924\) | −25.4611 | + | 3.72811i | −0.837609 | + | 0.122646i | ||||
\(925\) | 29.1172 | − | 47.0276i | 0.957367 | − | 1.54626i | ||||
\(926\) | −17.1487 | − | 29.7024i | −0.563542 | − | 0.976083i | ||||
\(927\) | 17.1983 | − | 18.4513i | 0.564865 | − | 0.606019i | ||||
\(928\) | 12.3265 | + | 46.0033i | 0.404638 | + | 1.51013i | ||||
\(929\) | −17.9790 | + | 31.1406i | −0.589873 | + | 1.02169i | 0.404376 | + | 0.914593i | \(0.367489\pi\) |
−0.994249 | + | 0.107097i | \(0.965844\pi\) | |||||||
\(930\) | −3.46477 | + | 26.7672i | −0.113614 | + | 0.877732i | ||||
\(931\) | 15.7430 | + | 4.32229i | 0.515956 | + | 0.141657i | ||||
\(932\) | 10.2042 | − | 2.73421i | 0.334249 | − | 0.0895619i | ||||
\(933\) | 10.1450 | − | 40.7089i | 0.332131 | − | 1.33275i | ||||
\(934\) | −4.63616 | −0.151700 | ||||||||
\(935\) | −0.422245 | − | 3.63929i | −0.0138089 | − | 0.119017i | ||||
\(936\) | 7.98045 | + | 4.24096i | 0.260849 | + | 0.138620i | ||||
\(937\) | 19.6517 | − | 19.6517i | 0.641995 | − | 0.641995i | −0.309051 | − | 0.951045i | \(-0.600011\pi\) |
0.951045 | + | 0.309051i | \(0.100011\pi\) | |||||||
\(938\) | −54.8133 | + | 22.5072i | −1.78972 | + | 0.734885i | ||||
\(939\) | 11.7631 | − | 21.2268i | 0.383874 | − | 0.692712i | ||||
\(940\) | 2.36313 | + | 3.17985i | 0.0770767 | + | 0.103715i | ||||
\(941\) | −22.2850 | + | 12.8663i | −0.726470 | + | 0.419428i | −0.817130 | − | 0.576454i | \(-0.804436\pi\) |
0.0906592 | + | 0.995882i | \(0.471103\pi\) | |||||||
\(942\) | −7.08752 | + | 7.34101i | −0.230924 | + | 0.239183i | ||||
\(943\) | 58.3954 | − | 15.6470i | 1.90162 | − | 0.509537i | ||||
\(944\) | −38.9386 | −1.26734 | ||||||||
\(945\) | −14.4503 | + | 27.1328i | −0.470067 | + | 0.882631i | ||||
\(946\) | −21.8612 | −0.710768 | ||||||||
\(947\) | 42.7319 | − | 11.4500i | 1.38860 | − | 0.372074i | 0.514362 | − | 0.857573i | \(-0.328029\pi\) |
0.874237 | + | 0.485499i | \(0.161362\pi\) | |||||||
\(948\) | −1.17748 | + | 1.21959i | −0.0382426 | + | 0.0396104i | ||||
\(949\) | 48.6458 | − | 28.0857i | 1.57911 | − | 0.911700i | ||||
\(950\) | 10.5499 | + | 19.6457i | 0.342284 | + | 0.637390i | ||||
\(951\) | 8.72972 | − | 15.7530i | 0.283080 | − | 0.510827i | ||||
\(952\) | −0.112134 | + | 0.831964i | −0.00363430 | + | 0.0269641i | ||||
\(953\) | −38.4748 | + | 38.4748i | −1.24632 | + | 1.24632i | −0.288987 | + | 0.957333i | \(0.593318\pi\) |
−0.957333 | + | 0.288987i | \(0.906682\pi\) | |||||||
\(954\) | 22.1686 | − | 13.8595i | 0.717735 | − | 0.448716i | ||||
\(955\) | 24.1105 | − | 30.4396i | 0.780197 | − | 0.985003i | ||||
\(956\) | 0.511308 | 0.0165369 | ||||||||
\(957\) | −9.10695 | + | 36.5436i | −0.294386 | + | 1.18129i | ||||
\(958\) | 28.1870 | − | 7.55268i | 0.910681 | − | 0.244016i | ||||
\(959\) | −16.7202 | + | 40.0176i | −0.539924 | + | 1.29223i | ||||
\(960\) | 11.9613 | + | 15.5182i | 0.386048 | + | 0.500849i | ||||
\(961\) | −8.85944 | + | 15.3450i | −0.285788 | + | 0.495000i | ||||
\(962\) | −25.1286 | − | 93.7811i | −0.810177 | − | 3.02362i | ||||
\(963\) | 28.4806 | + | 6.56849i | 0.917776 | + | 0.211667i | ||||
\(964\) | 11.2952 | + | 19.5638i | 0.363793 | + | 0.630108i | ||||
\(965\) | −29.8914 | − | 12.9239i | −0.962237 | − | 0.416036i | ||||
\(966\) | 33.2725 | − | 26.3055i | 1.07052 | − | 0.846367i | ||||
\(967\) | 18.5298 | − | 4.96504i | 0.595878 | − | 0.159665i | 0.0517395 | − | 0.998661i | \(-0.483523\pi\) |
0.544138 | + | 0.838996i | \(0.316857\pi\) | |||||||
\(968\) | 0.226294 | − | 0.226294i | 0.00727337 | − | 0.00727337i | ||||
\(969\) | 0.0343015 | + | 1.95247i | 0.00110192 | + | 0.0627224i | ||||
\(970\) | −22.3723 | − | 3.29644i | −0.718333 | − | 0.105842i | ||||
\(971\) | −10.6117 | + | 6.12668i | −0.340546 | + | 0.196614i | −0.660514 | − | 0.750814i | \(-0.729661\pi\) |
0.319967 | + | 0.947429i | \(0.396328\pi\) | |||||||
\(972\) | −4.47031 | + | 25.4365i | −0.143385 | + | 0.815877i | ||||
\(973\) | −9.99552 | − | 1.34722i | −0.320442 | − | 0.0431900i | ||||
\(974\) | −21.3791 | + | 12.3432i | −0.685031 | + | 0.395503i | ||||
\(975\) | −28.4745 | + | 27.7315i | −0.911912 | + | 0.888119i | ||||
\(976\) | 14.1977 | − | 8.19707i | 0.454458 | − | 0.262382i | ||||
\(977\) | −1.11442 | + | 4.15907i | −0.0356534 | + | 0.133060i | −0.981459 | − | 0.191674i | \(-0.938608\pi\) |
0.945805 | + | 0.324735i | \(0.105275\pi\) | |||||||
\(978\) | 27.5606 | − | 28.5463i | 0.881292 | − | 0.912812i | ||||
\(979\) | 7.77610 | + | 13.4686i | 0.248525 | + | 0.430458i | ||||
\(980\) | −10.4377 | + | 23.7391i | −0.333421 | + | 0.758318i | ||||
\(981\) | 5.35951 | − | 10.0853i | 0.171116 | − | 0.321998i | ||||
\(982\) | 0.341710 | − | 1.27528i | 0.0109044 | − | 0.0406957i | ||||
\(983\) | 4.87503 | + | 4.87503i | 0.155489 | + | 0.155489i | 0.780565 | − | 0.625075i | \(-0.214932\pi\) |
−0.625075 | + | 0.780565i | \(0.714932\pi\) | |||||||
\(984\) | 6.88272 | − | 12.4201i | 0.219413 | − | 0.395937i | ||||
\(985\) | −1.27124 | − | 1.71059i | −0.0405050 | − | 0.0545040i | ||||
\(986\) | −5.13594 | − | 2.96524i | −0.163562 | − | 0.0944323i | ||||
\(987\) | 0.569197 | − | 4.86752i | 0.0181177 | − | 0.154935i | ||||
\(988\) | 17.1297 | + | 4.58988i | 0.544967 | + | 0.146024i | ||||
\(989\) | 14.1385 | − | 8.16287i | 0.449578 | − | 0.259564i | ||||
\(990\) | 6.52480 | + | 42.9855i | 0.207372 | + | 1.36617i | ||||
\(991\) | 2.94552 | − | 5.10180i | 0.0935677 | − | 0.162064i | −0.815442 | − | 0.578838i | \(-0.803506\pi\) |
0.909010 | + | 0.416774i | \(0.136840\pi\) | |||||||
\(992\) | −7.00227 | − | 26.1328i | −0.222322 | − | 0.829718i | ||||
\(993\) | −12.0861 | − | 42.1314i | −0.383542 | − | 1.33700i | ||||
\(994\) | −1.53388 | − | 2.01177i | −0.0486516 | − | 0.0638095i | ||||
\(995\) | −10.2186 | + | 12.9010i | −0.323952 | + | 0.408991i | ||||
\(996\) | 17.6309 | + | 9.77034i | 0.558655 | + | 0.309585i | ||||
\(997\) | −6.08327 | + | 6.08327i | −0.192659 | + | 0.192659i | −0.796844 | − | 0.604185i | \(-0.793499\pi\) |
0.604185 | + | 0.796844i | \(0.293499\pi\) | |||||||
\(998\) | 10.0371 | + | 37.4589i | 0.317718 | + | 1.18574i | ||||
\(999\) | −48.1976 | + | 31.3232i | −1.52491 | + | 0.991022i |
(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 | 315.2.cg.e.157.9 | yes | 160 | |
3.2 | odd | 2 | 945.2.cj.e.577.32 | 160 | |||
5.3 | odd | 4 | inner | 315.2.cg.e.283.32 | yes | 160 | |
7.5 | odd | 6 | 315.2.bs.e.292.32 | yes | 160 | ||
9.2 | odd | 6 | 945.2.bv.e.262.9 | 160 | |||
9.7 | even | 3 | 315.2.bs.e.52.32 | ✓ | 160 | ||
15.8 | even | 4 | 945.2.cj.e.388.9 | 160 | |||
21.5 | even | 6 | 945.2.bv.e.712.9 | 160 | |||
35.33 | even | 12 | 315.2.bs.e.103.32 | yes | 160 | ||
45.38 | even | 12 | 945.2.bv.e.73.9 | 160 | |||
45.43 | odd | 12 | 315.2.bs.e.178.32 | yes | 160 | ||
63.47 | even | 6 | 945.2.cj.e.397.9 | 160 | |||
63.61 | odd | 6 | inner | 315.2.cg.e.187.32 | yes | 160 | |
105.68 | odd | 12 | 945.2.bv.e.523.9 | 160 | |||
315.173 | odd | 12 | 945.2.cj.e.208.32 | 160 | |||
315.313 | even | 12 | inner | 315.2.cg.e.313.9 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.32 | ✓ | 160 | 9.7 | even | 3 | ||
315.2.bs.e.103.32 | yes | 160 | 35.33 | even | 12 | ||
315.2.bs.e.178.32 | yes | 160 | 45.43 | odd | 12 | ||
315.2.bs.e.292.32 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.157.9 | yes | 160 | 1.1 | even | 1 | trivial | |
315.2.cg.e.187.32 | yes | 160 | 63.61 | odd | 6 | inner | |
315.2.cg.e.283.32 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.cg.e.313.9 | yes | 160 | 315.313 | even | 12 | inner | |
945.2.bv.e.73.9 | 160 | 45.38 | even | 12 | |||
945.2.bv.e.262.9 | 160 | 9.2 | odd | 6 | |||
945.2.bv.e.523.9 | 160 | 105.68 | odd | 12 | |||
945.2.bv.e.712.9 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.208.32 | 160 | 315.173 | odd | 12 | |||
945.2.cj.e.388.9 | 160 | 15.8 | even | 4 | |||
945.2.cj.e.397.9 | 160 | 63.47 | even | 6 | |||
945.2.cj.e.577.32 | 160 | 3.2 | odd | 2 |