Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 130.32 | ||
Character | \(\chi\) | \(=\) | 441.130 |
Dual form | 441.2.z.a.268.32 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{2}{21}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.442370 | − | 0.301603i | 0.312803 | − | 0.213265i | −0.396734 | − | 0.917934i | \(-0.629856\pi\) |
0.709537 | + | 0.704668i | \(0.248904\pi\) | |||||||
\(3\) | −0.944398 | − | 1.45193i | −0.545249 | − | 0.838274i | ||||
\(4\) | −0.625955 | + | 1.59491i | −0.312977 | + | 0.797454i | ||||
\(5\) | −0.835905 | − | 3.66234i | −0.373828 | − | 1.63785i | −0.715920 | − | 0.698182i | \(-0.753993\pi\) |
0.342092 | − | 0.939666i | \(-0.388865\pi\) | |||||||
\(6\) | −0.855681 | − | 0.357459i | −0.349330 | − | 0.145932i | ||||
\(7\) | 1.43498 | − | 2.22280i | 0.542373 | − | 0.840138i | ||||
\(8\) | 0.442401 | + | 1.93829i | 0.156412 | + | 0.685288i | ||||
\(9\) | −1.21622 | + | 2.74241i | −0.405408 | + | 0.914136i | ||||
\(10\) | −1.47435 | − | 1.36800i | −0.466231 | − | 0.432599i | ||||
\(11\) | −2.52547 | − | 1.21620i | −0.761458 | − | 0.366699i | 0.0125112 | − | 0.999922i | \(-0.496017\pi\) |
−0.773970 | + | 0.633223i | \(0.781732\pi\) | |||||||
\(12\) | 2.90685 | − | 0.597383i | 0.839135 | − | 0.172450i | ||||
\(13\) | −2.75251 | + | 1.87663i | −0.763408 | + | 0.520483i | −0.881308 | − | 0.472543i | \(-0.843336\pi\) |
0.117900 | + | 0.993025i | \(0.462384\pi\) | |||||||
\(14\) | −0.0356071 | − | 1.41609i | −0.00951641 | − | 0.378467i | ||||
\(15\) | −4.52805 | + | 4.67239i | −1.16914 | + | 1.20641i | ||||
\(16\) | −1.73164 | − | 1.60673i | −0.432911 | − | 0.401682i | ||||
\(17\) | −0.492578 | − | 1.25507i | −0.119468 | − | 0.304399i | 0.858613 | − | 0.512624i | \(-0.171326\pi\) |
−0.978081 | + | 0.208225i | \(0.933231\pi\) | |||||||
\(18\) | 0.289097 | + | 1.57998i | 0.0681409 | + | 0.372404i | ||||
\(19\) | 2.71357 | + | 4.70005i | 0.622537 | + | 1.07827i | 0.989012 | + | 0.147837i | \(0.0472312\pi\) |
−0.366475 | + | 0.930428i | \(0.619436\pi\) | |||||||
\(20\) | 6.36433 | + | 0.959269i | 1.42311 | + | 0.214499i | ||||
\(21\) | −4.58255 | + | 0.0157022i | −0.999994 | + | 0.00342649i | ||||
\(22\) | −1.48400 | + | 0.223678i | −0.316391 | + | 0.0476882i | ||||
\(23\) | −4.43372 | − | 5.55971i | −0.924494 | − | 1.15928i | −0.986917 | − | 0.161229i | \(-0.948454\pi\) |
0.0624230 | − | 0.998050i | \(-0.480117\pi\) | |||||||
\(24\) | 2.39646 | − | 2.47285i | 0.489176 | − | 0.504769i | ||||
\(25\) | −8.20915 | + | 3.95332i | −1.64183 | + | 0.790664i | ||||
\(26\) | −0.651630 | + | 1.66033i | −0.127795 | + | 0.325617i | ||||
\(27\) | 5.13039 | − | 0.824051i | 0.987345 | − | 0.158589i | ||||
\(28\) | 2.64692 | + | 3.68004i | 0.500220 | + | 0.695462i | ||||
\(29\) | −4.15924 | − | 0.626905i | −0.772352 | − | 0.116413i | −0.248969 | − | 0.968511i | \(-0.580092\pi\) |
−0.523382 | + | 0.852098i | \(0.675330\pi\) | |||||||
\(30\) | −0.593868 | + | 3.43260i | −0.108425 | + | 0.626704i | ||||
\(31\) | −3.08453 | − | 5.34256i | −0.553997 | − | 0.959552i | −0.997981 | − | 0.0635166i | \(-0.979768\pi\) |
0.443983 | − | 0.896035i | \(-0.353565\pi\) | |||||||
\(32\) | −5.18248 | − | 0.781133i | −0.916141 | − | 0.138086i | ||||
\(33\) | 0.619205 | + | 4.81540i | 0.107790 | + | 0.838253i | ||||
\(34\) | −0.596434 | − | 0.406642i | −0.102288 | − | 0.0697385i | ||||
\(35\) | −9.34014 | − | 3.39736i | −1.57877 | − | 0.574258i | ||||
\(36\) | −3.61259 | − | 3.65639i | −0.602098 | − | 0.609398i | ||||
\(37\) | 4.08330 | + | 0.615459i | 0.671290 | + | 0.101181i | 0.475839 | − | 0.879533i | \(-0.342145\pi\) |
0.195452 | + | 0.980713i | \(0.437383\pi\) | |||||||
\(38\) | 2.61795 | + | 1.26074i | 0.424688 | + | 0.204519i | ||||
\(39\) | 5.32420 | + | 2.22417i | 0.852554 | + | 0.356153i | ||||
\(40\) | 6.72886 | − | 3.24045i | 1.06393 | − | 0.512360i | ||||
\(41\) | 0.669169 | + | 0.206411i | 0.104507 | + | 0.0322360i | 0.346567 | − | 0.938025i | \(-0.387347\pi\) |
−0.242061 | + | 0.970261i | \(0.577823\pi\) | |||||||
\(42\) | −2.02245 | + | 1.38906i | −0.312070 | + | 0.214336i | ||||
\(43\) | −4.39190 | + | 1.35472i | −0.669758 | + | 0.206593i | −0.610942 | − | 0.791676i | \(-0.709209\pi\) |
−0.0588169 | + | 0.998269i | \(0.518733\pi\) | |||||||
\(44\) | 3.52056 | − | 3.26661i | 0.530745 | − | 0.492459i | ||||
\(45\) | 11.0603 | + | 2.16183i | 1.64877 | + | 0.322266i | ||||
\(46\) | −3.63817 | − | 1.12223i | −0.536419 | − | 0.165463i | ||||
\(47\) | 2.68622 | − | 1.83144i | 0.391826 | − | 0.267142i | −0.351342 | − | 0.936247i | \(-0.614275\pi\) |
0.743168 | + | 0.669105i | \(0.233322\pi\) | |||||||
\(48\) | −0.697504 | + | 4.03162i | −0.100676 | + | 0.581915i | ||||
\(49\) | −2.88164 | − | 6.37935i | −0.411663 | − | 0.911336i | ||||
\(50\) | −2.43915 | + | 4.22474i | −0.344948 | + | 0.597468i | ||||
\(51\) | −1.35709 | + | 1.90047i | −0.190030 | + | 0.266120i | ||||
\(52\) | −1.27010 | − | 5.56467i | −0.176131 | − | 0.771681i | ||||
\(53\) | 11.1182 | − | 1.67581i | 1.52721 | − | 0.230190i | 0.668911 | − | 0.743343i | \(-0.266761\pi\) |
0.858297 | + | 0.513153i | \(0.171523\pi\) | |||||||
\(54\) | 2.02100 | − | 1.91188i | 0.275023 | − | 0.260174i | ||||
\(55\) | −2.34309 | + | 10.2658i | −0.315943 | + | 1.38424i | ||||
\(56\) | 4.94325 | + | 1.79804i | 0.660570 | + | 0.240274i | ||||
\(57\) | 4.26146 | − | 8.37865i | 0.564445 | − | 1.10978i | ||||
\(58\) | −2.02900 | + | 0.977115i | −0.266421 | + | 0.128302i | ||||
\(59\) | 6.55725 | − | 2.02264i | 0.853681 | − | 0.263326i | 0.163126 | − | 0.986605i | \(-0.447842\pi\) |
0.690555 | + | 0.723280i | \(0.257366\pi\) | |||||||
\(60\) | −4.61767 | − | 10.1465i | −0.596139 | − | 1.30991i | ||||
\(61\) | −3.34311 | − | 8.51810i | −0.428041 | − | 1.09063i | −0.968445 | − | 0.249226i | \(-0.919824\pi\) |
0.540404 | − | 0.841406i | \(-0.318271\pi\) | |||||||
\(62\) | −2.97583 | − | 1.43309i | −0.377931 | − | 0.182002i | ||||
\(63\) | 4.35055 | + | 6.63873i | 0.548118 | + | 0.836401i | ||||
\(64\) | 1.72844 | − | 0.832372i | 0.216055 | − | 0.104047i | ||||
\(65\) | 9.17368 | + | 8.51193i | 1.13785 | + | 1.05577i | ||||
\(66\) | 1.72626 | + | 1.94343i | 0.212487 | + | 0.239220i | ||||
\(67\) | 7.15503 | + | 12.3929i | 0.874127 | + | 1.51403i | 0.857690 | + | 0.514167i | \(0.171899\pi\) |
0.0164362 | + | 0.999865i | \(0.494768\pi\) | |||||||
\(68\) | 2.31005 | 0.280134 | ||||||||
\(69\) | −3.88513 | + | 11.6880i | −0.467714 | + | 1.40707i | ||||
\(70\) | −5.15645 | + | 1.31413i | −0.616314 | + | 0.157068i | ||||
\(71\) | −0.427562 | − | 0.536146i | −0.0507422 | − | 0.0636288i | 0.755813 | − | 0.654788i | \(-0.227242\pi\) |
−0.806555 | + | 0.591159i | \(0.798671\pi\) | |||||||
\(72\) | −5.85363 | − | 1.14414i | −0.689857 | − | 0.134839i | ||||
\(73\) | 0.864428 | − | 11.5350i | 0.101174 | − | 1.35007i | −0.683405 | − | 0.730040i | \(-0.739502\pi\) |
0.784579 | − | 0.620029i | \(-0.212879\pi\) | |||||||
\(74\) | 1.99195 | − | 0.959275i | 0.231560 | − | 0.111513i | ||||
\(75\) | 13.4927 | + | 8.18564i | 1.55800 | + | 0.945196i | ||||
\(76\) | −9.19472 | + | 1.38588i | −1.05471 | + | 0.158971i | ||||
\(77\) | −6.32738 | + | 3.86837i | −0.721072 | + | 0.440842i | ||||
\(78\) | 3.02608 | − | 0.621886i | 0.342637 | − | 0.0704148i | ||||
\(79\) | 3.38921 | − | 5.87028i | 0.381316 | − | 0.660458i | −0.609935 | − | 0.792452i | \(-0.708804\pi\) |
0.991251 | + | 0.131993i | \(0.0421377\pi\) | |||||||
\(80\) | −4.43690 | + | 7.68494i | −0.496061 | + | 0.859202i | ||||
\(81\) | −6.04160 | − | 6.67076i | −0.671289 | − | 0.741196i | ||||
\(82\) | 0.358275 | − | 0.110513i | 0.0395648 | − | 0.0122041i | ||||
\(83\) | 11.6328 | + | 7.93111i | 1.27687 | + | 0.870553i | 0.996014 | − | 0.0891980i | \(-0.0284304\pi\) |
0.280853 | + | 0.959751i | \(0.409383\pi\) | |||||||
\(84\) | 2.84343 | − | 7.31857i | 0.310243 | − | 0.798521i | ||||
\(85\) | −4.18474 | + | 2.85310i | −0.453898 | + | 0.309463i | ||||
\(86\) | −1.53426 | + | 1.92390i | −0.165443 | + | 0.207459i | ||||
\(87\) | 3.01776 | + | 6.63099i | 0.323537 | + | 0.710917i | ||||
\(88\) | 1.24008 | − | 5.43314i | 0.132193 | − | 0.579175i | ||||
\(89\) | −4.99125 | − | 3.40297i | −0.529071 | − | 0.360715i | 0.269132 | − | 0.963103i | \(-0.413263\pi\) |
−0.798203 | + | 0.602389i | \(0.794216\pi\) | |||||||
\(90\) | 5.54475 | − | 2.37948i | 0.584468 | − | 0.250820i | ||||
\(91\) | 0.221554 | + | 8.81119i | 0.0232252 | + | 0.923663i | ||||
\(92\) | 11.6425 | − | 3.59124i | 1.21382 | − | 0.374413i | ||||
\(93\) | −4.84402 | + | 9.52403i | −0.502301 | + | 0.987596i | ||||
\(94\) | 0.635939 | − | 1.62034i | 0.0655920 | − | 0.167126i | ||||
\(95\) | 14.9449 | − | 13.8668i | 1.53331 | − | 1.42271i | ||||
\(96\) | 3.76017 | + | 8.26231i | 0.383771 | + | 0.843269i | ||||
\(97\) | −0.364142 | − | 0.630713i | −0.0369731 | − | 0.0640392i | 0.846947 | − | 0.531678i | \(-0.178438\pi\) |
−0.883920 | + | 0.467639i | \(0.845105\pi\) | |||||||
\(98\) | −3.19878 | − | 1.95293i | −0.323126 | − | 0.197275i | ||||
\(99\) | 6.40686 | − | 5.44670i | 0.643914 | − | 0.547414i | ||||
\(100\) | −1.16662 | − | 15.5674i | −0.116662 | − | 1.55674i | ||||
\(101\) | −4.06117 | − | 17.7932i | −0.404102 | − | 1.77049i | −0.610499 | − | 0.792017i | \(-0.709031\pi\) |
0.206397 | − | 0.978468i | \(-0.433826\pi\) | |||||||
\(102\) | −0.0271456 | + | 1.25001i | −0.00268781 | + | 0.123770i | ||||
\(103\) | −3.02324 | − | 13.2457i | −0.297889 | − | 1.30514i | −0.873264 | − | 0.487247i | \(-0.838001\pi\) |
0.575375 | − | 0.817890i | \(-0.304856\pi\) | |||||||
\(104\) | −4.85515 | − | 4.50492i | −0.476087 | − | 0.441744i | ||||
\(105\) | 3.88808 | + | 16.7697i | 0.379438 | + | 1.63656i | ||||
\(106\) | 4.41295 | − | 4.09462i | 0.428624 | − | 0.397705i | ||||
\(107\) | −4.76237 | − | 3.24693i | −0.460396 | − | 0.313893i | 0.310817 | − | 0.950470i | \(-0.399397\pi\) |
−0.771213 | + | 0.636577i | \(0.780350\pi\) | |||||||
\(108\) | −1.89711 | + | 8.69832i | −0.182550 | + | 0.836996i | ||||
\(109\) | −6.56418 | + | 4.47538i | −0.628734 | + | 0.428664i | −0.835319 | − | 0.549765i | \(-0.814717\pi\) |
0.206585 | + | 0.978429i | \(0.433765\pi\) | |||||||
\(110\) | 2.05967 | + | 5.24795i | 0.196382 | + | 0.500373i | ||||
\(111\) | −2.96266 | − | 6.50992i | −0.281203 | − | 0.617894i | ||||
\(112\) | −6.05631 | + | 1.54345i | −0.572268 | + | 0.145843i | ||||
\(113\) | −0.185752 | + | 2.47869i | −0.0174741 | + | 0.233175i | 0.981628 | + | 0.190805i | \(0.0611099\pi\) |
−0.999102 | + | 0.0423701i | \(0.986509\pi\) | |||||||
\(114\) | −0.641880 | − | 4.99173i | −0.0601176 | − | 0.467519i | ||||
\(115\) | −16.6554 | + | 20.8852i | −1.55312 | + | 1.94755i | ||||
\(116\) | 3.60335 | − | 6.24119i | 0.334563 | − | 0.579480i | ||||
\(117\) | −1.79881 | − | 9.83089i | −0.166300 | − | 0.908866i | ||||
\(118\) | 2.29070 | − | 2.87244i | 0.210876 | − | 0.264430i | ||||
\(119\) | −3.49660 | − | 0.706103i | −0.320533 | − | 0.0647283i | ||||
\(120\) | −11.0596 | − | 6.70958i | −1.00960 | − | 0.612498i | ||||
\(121\) | −1.95953 | − | 2.45717i | −0.178139 | − | 0.223379i | ||||
\(122\) | −4.04798 | − | 2.75986i | −0.366487 | − | 0.249866i | ||||
\(123\) | −0.332267 | − | 1.16652i | −0.0299595 | − | 0.105182i | ||||
\(124\) | 10.4517 | − | 1.57533i | 0.938587 | − | 0.141469i | ||||
\(125\) | 9.62971 | + | 12.0753i | 0.861307 | + | 1.08005i | ||||
\(126\) | 3.92681 | + | 1.62464i | 0.349828 | + | 0.144734i | ||||
\(127\) | 2.12279 | − | 2.66190i | 0.188368 | − | 0.236205i | −0.678676 | − | 0.734438i | \(-0.737446\pi\) |
0.867044 | + | 0.498232i | \(0.166017\pi\) | |||||||
\(128\) | 5.75458 | − | 9.96722i | 0.508638 | − | 0.880986i | ||||
\(129\) | 6.11467 | + | 5.09735i | 0.538367 | + | 0.448797i | ||||
\(130\) | 6.62538 | + | 0.998616i | 0.581085 | + | 0.0875844i | ||||
\(131\) | 1.57542 | − | 6.90238i | 0.137645 | − | 0.603064i | −0.858304 | − | 0.513142i | \(-0.828481\pi\) |
0.995949 | − | 0.0899213i | \(-0.0286615\pi\) | |||||||
\(132\) | −8.06771 | − | 2.02665i | −0.702204 | − | 0.176397i | ||||
\(133\) | 14.3412 | + | 0.712776i | 1.24354 | + | 0.0618056i | ||||
\(134\) | 6.90290 | + | 3.32426i | 0.596320 | + | 0.287173i | ||||
\(135\) | −7.30648 | − | 18.1004i | −0.628841 | − | 1.55784i | ||||
\(136\) | 2.21476 | − | 1.51000i | 0.189914 | − | 0.129481i | ||||
\(137\) | −3.20843 | + | 14.0570i | −0.274114 | + | 1.20097i | 0.630993 | + | 0.775789i | \(0.282648\pi\) |
−0.905107 | + | 0.425184i | \(0.860209\pi\) | |||||||
\(138\) | 1.80648 | + | 6.34221i | 0.153778 | + | 0.539885i | ||||
\(139\) | 14.9577 | + | 4.61383i | 1.26869 | + | 0.391340i | 0.854787 | − | 0.518979i | \(-0.173688\pi\) |
0.413907 | + | 0.910319i | \(0.364164\pi\) | |||||||
\(140\) | 11.2650 | − | 12.7701i | 0.952064 | − | 1.07927i | ||||
\(141\) | −5.19599 | − | 2.17061i | −0.437581 | − | 0.182799i | ||||
\(142\) | −0.350844 | − | 0.108221i | −0.0294421 | − | 0.00908170i | ||||
\(143\) | 9.23373 | − | 1.39176i | 0.772164 | − | 0.116385i | ||||
\(144\) | 6.51237 | − | 2.79473i | 0.542698 | − | 0.232894i | ||||
\(145\) | 1.18079 | + | 15.7566i | 0.0980595 | + | 1.30851i | ||||
\(146\) | −3.09659 | − | 5.36345i | −0.256276 | − | 0.443882i | ||||
\(147\) | −6.54098 | + | 10.2086i | −0.539491 | + | 0.841991i | ||||
\(148\) | −3.53756 | + | 6.12724i | −0.290786 | + | 0.503656i | ||||
\(149\) | −10.3908 | − | 5.00396i | −0.851251 | − | 0.409941i | −0.0432090 | − | 0.999066i | \(-0.513758\pi\) |
−0.808042 | + | 0.589125i | \(0.799472\pi\) | |||||||
\(150\) | 8.43757 | − | 0.448347i | 0.688925 | − | 0.0366073i | ||||
\(151\) | 11.9849 | + | 15.0285i | 0.975314 | + | 1.22300i | 0.974817 | + | 0.223005i | \(0.0715866\pi\) |
0.000496323 | 1.00000i | \(0.499842\pi\) | ||||||||
\(152\) | −7.90955 | + | 7.33899i | −0.641549 | + | 0.595271i | ||||
\(153\) | 4.04099 | + | 0.175593i | 0.326695 | + | 0.0141959i | ||||
\(154\) | −1.63233 | + | 3.61961i | −0.131537 | + | 0.291677i | ||||
\(155\) | −16.9879 | + | 15.7625i | −1.36450 | + | 1.26607i | ||||
\(156\) | −6.88006 | + | 7.09937i | −0.550845 | + | 0.568405i | ||||
\(157\) | 1.67353 | − | 0.516216i | 0.133562 | − | 0.0411986i | −0.227253 | − | 0.973836i | \(-0.572975\pi\) |
0.360816 | + | 0.932637i | \(0.382498\pi\) | |||||||
\(158\) | −0.271209 | − | 3.61903i | −0.0215762 | − | 0.287915i | ||||
\(159\) | −12.9332 | − | 14.5603i | −1.02567 | − | 1.15471i | ||||
\(160\) | 1.47129 | + | 19.6329i | 0.116315 | + | 1.55212i | ||||
\(161\) | −18.7204 | + | 1.87715i | −1.47537 | + | 0.147941i | ||||
\(162\) | −4.68455 | − | 1.12878i | −0.368053 | − | 0.0886854i | ||||
\(163\) | −8.06728 | + | 2.48843i | −0.631878 | + | 0.194909i | −0.594118 | − | 0.804378i | \(-0.702499\pi\) |
−0.0377608 | + | 0.999287i | \(0.512022\pi\) | |||||||
\(164\) | −0.748077 | + | 0.938059i | −0.0584150 | + | 0.0732501i | ||||
\(165\) | 17.1180 | − | 6.29296i | 1.33264 | − | 0.489906i | ||||
\(166\) | 7.53805 | 0.585067 | ||||||||
\(167\) | 2.39335 | + | 6.09816i | 0.185203 | + | 0.471890i | 0.993077 | − | 0.117466i | \(-0.0374770\pi\) |
−0.807874 | + | 0.589355i | \(0.799382\pi\) | |||||||
\(168\) | −2.05776 | − | 8.87535i | −0.158760 | − | 0.684748i | ||||
\(169\) | −0.694874 | + | 1.77051i | −0.0534518 | + | 0.136193i | ||||
\(170\) | −0.990698 | + | 2.52426i | −0.0759831 | + | 0.193602i | ||||
\(171\) | −16.1898 | + | 1.72542i | −1.23806 | + | 0.131946i | ||||
\(172\) | 0.588476 | − | 7.85267i | 0.0448709 | − | 0.598760i | ||||
\(173\) | −13.9971 | + | 2.10972i | −1.06418 | + | 0.160399i | −0.657714 | − | 0.753268i | \(-0.728476\pi\) |
−0.406464 | + | 0.913667i | \(0.633238\pi\) | |||||||
\(174\) | 3.33489 | + | 2.02319i | 0.252817 | + | 0.153377i | ||||
\(175\) | −2.99259 | + | 23.9202i | −0.226218 | + | 1.80820i | ||||
\(176\) | 2.41910 | + | 6.16378i | 0.182347 | + | 0.464612i | ||||
\(177\) | −9.12940 | − | 7.61051i | −0.686208 | − | 0.572041i | ||||
\(178\) | −3.23433 | −0.242423 | ||||||||
\(179\) | −1.18767 | − | 3.02612i | −0.0887704 | − | 0.226183i | 0.879593 | − | 0.475726i | \(-0.157815\pi\) |
−0.968364 | + | 0.249543i | \(0.919720\pi\) | |||||||
\(180\) | −10.3712 | + | 16.2869i | −0.773020 | + | 1.21395i | ||||
\(181\) | −20.9753 | + | 10.1012i | −1.55908 | + | 0.750813i | −0.997083 | − | 0.0763266i | \(-0.975681\pi\) |
−0.561996 | + | 0.827140i | \(0.689967\pi\) | |||||||
\(182\) | 2.75549 | + | 3.83099i | 0.204250 | + | 0.283972i | ||||
\(183\) | −9.21049 | + | 12.8985i | −0.680859 | + | 0.953481i | ||||
\(184\) | 8.81482 | − | 11.0534i | 0.649837 | − | 0.814870i | ||||
\(185\) | −1.15923 | − | 15.4689i | −0.0852286 | − | 1.13730i | ||||
\(186\) | 0.729627 | + | 5.67412i | 0.0534988 | + | 0.416046i | ||||
\(187\) | −0.282426 | + | 3.76871i | −0.0206530 | + | 0.275596i | ||||
\(188\) | 1.23952 | + | 5.43067i | 0.0904009 | + | 0.396072i | ||||
\(189\) | 5.53034 | − | 12.5863i | 0.402273 | − | 0.915520i | ||||
\(190\) | 2.42890 | − | 10.6417i | 0.176211 | − | 0.772030i | ||||
\(191\) | 15.2006 | + | 4.68876i | 1.09988 | + | 0.339267i | 0.790988 | − | 0.611832i | \(-0.209567\pi\) |
0.308888 | + | 0.951098i | \(0.400043\pi\) | |||||||
\(192\) | −2.84088 | − | 1.72349i | −0.205023 | − | 0.124382i | ||||
\(193\) | 13.1910 | − | 12.2395i | 0.949511 | − | 0.881018i | −0.0434980 | − | 0.999054i | \(-0.513850\pi\) |
0.993009 | + | 0.118036i | \(0.0376597\pi\) | |||||||
\(194\) | −0.351311 | − | 0.169182i | −0.0252226 | − | 0.0121466i | ||||
\(195\) | 3.69515 | − | 21.3582i | 0.264615 | − | 1.52949i | ||||
\(196\) | 11.9783 | − | 0.602758i | 0.855590 | − | 0.0430542i | ||||
\(197\) | −2.85947 | −0.203729 | −0.101864 | − | 0.994798i | \(-0.532481\pi\) | ||||
−0.101864 | + | 0.994798i | \(0.532481\pi\) | |||||||
\(198\) | 1.19146 | − | 4.34179i | 0.0846737 | − | 0.308557i | ||||
\(199\) | −0.468176 | − | 0.144413i | −0.0331881 | − | 0.0102372i | 0.278117 | − | 0.960547i | \(-0.410290\pi\) |
−0.311305 | + | 0.950310i | \(0.600766\pi\) | |||||||
\(200\) | −11.2944 | − | 14.1627i | −0.798635 | − | 1.00146i | ||||
\(201\) | 11.2364 | − | 22.0925i | 0.792557 | − | 1.55828i | ||||
\(202\) | −7.16301 | − | 6.64630i | −0.503988 | − | 0.467632i | ||||
\(203\) | −7.36193 | + | 8.34554i | −0.516706 | + | 0.585742i | ||||
\(204\) | −2.18161 | − | 3.35404i | −0.152743 | − | 0.234829i | ||||
\(205\) | 0.196587 | − | 2.62327i | 0.0137302 | − | 0.183217i | ||||
\(206\) | −5.33233 | − | 4.94768i | −0.371521 | − | 0.344721i | ||||
\(207\) | 20.6394 | − | 5.39722i | 1.43454 | − | 0.375133i | ||||
\(208\) | 7.78159 | + | 1.17289i | 0.539556 | + | 0.0813250i | ||||
\(209\) | −1.13684 | − | 15.1701i | −0.0786370 | − | 1.04934i | ||||
\(210\) | 6.77777 | + | 6.24577i | 0.467711 | + | 0.430999i | ||||
\(211\) | −0.282618 | + | 3.77127i | −0.0194562 | + | 0.259625i | 0.978990 | + | 0.203907i | \(0.0653639\pi\) |
−0.998447 | + | 0.0557182i | \(0.982255\pi\) | |||||||
\(212\) | −4.28676 | + | 18.7815i | −0.294416 | + | 1.28992i | ||||
\(213\) | −0.374659 | + | 1.12713i | −0.0256712 | + | 0.0772294i | ||||
\(214\) | −3.08601 | −0.210956 | ||||||||
\(215\) | 8.63266 | + | 14.9522i | 0.588743 | + | 1.01973i | ||||
\(216\) | 3.86694 | + | 9.57961i | 0.263112 | + | 0.651810i | ||||
\(217\) | −16.3017 | − | 0.810215i | −1.10663 | − | 0.0550010i | ||||
\(218\) | −1.55401 | + | 3.95955i | −0.105251 | + | 0.268175i | ||||
\(219\) | −17.5644 | + | 9.63854i | −1.18689 | + | 0.651312i | ||||
\(220\) | −14.9063 | − | 10.1629i | −1.00498 | − | 0.685184i | ||||
\(221\) | 3.71112 | + | 2.53020i | 0.249637 | + | 0.170199i | ||||
\(222\) | −3.27400 | − | 1.98625i | −0.219737 | − | 0.133308i | ||||
\(223\) | 6.19669 | − | 15.7889i | 0.414961 | − | 1.05730i | −0.558714 | − | 0.829361i | \(-0.688705\pi\) |
0.973675 | − | 0.227942i | \(-0.0731998\pi\) | |||||||
\(224\) | −9.17307 | + | 10.3987i | −0.612902 | + | 0.694790i | ||||
\(225\) | −0.857455 | − | 27.3210i | −0.0571636 | − | 1.82140i | ||||
\(226\) | 0.665409 | + | 1.15252i | 0.0442623 | + | 0.0766646i | ||||
\(227\) | 20.2806 | 1.34607 | 0.673036 | − | 0.739610i | \(-0.264990\pi\) | ||||
0.673036 | + | 0.739610i | \(0.264990\pi\) | |||||||
\(228\) | 10.6957 | + | 12.0413i | 0.708339 | + | 0.797454i | ||||
\(229\) | 2.38621 | − | 10.4547i | 0.157685 | − | 0.690864i | −0.832838 | − | 0.553517i | \(-0.813285\pi\) |
0.990523 | − | 0.137347i | \(-0.0438575\pi\) | |||||||
\(230\) | −1.06881 | + | 14.2623i | −0.0704753 | + | 0.940427i | ||||
\(231\) | 11.5922 | + | 5.53366i | 0.762710 | + | 0.364088i | ||||
\(232\) | −0.624932 | − | 8.33914i | −0.0410288 | − | 0.547492i | ||||
\(233\) | 7.68416 | + | 1.15820i | 0.503406 | + | 0.0758762i | 0.395836 | − | 0.918321i | \(-0.370455\pi\) |
0.107570 | + | 0.994198i | \(0.465693\pi\) | |||||||
\(234\) | −3.76077 | − | 3.80636i | −0.245849 | − | 0.248830i | ||||
\(235\) | −8.95277 | − | 8.30695i | −0.584014 | − | 0.541886i | ||||
\(236\) | −0.878614 | + | 11.7243i | −0.0571929 | + | 0.763186i | ||||
\(237\) | −11.7240 | + | 0.622979i | −0.761557 | + | 0.0404668i | ||||
\(238\) | −1.75975 | + | 0.742226i | −0.114068 | + | 0.0481113i | ||||
\(239\) | −12.6181 | − | 11.7078i | −0.816194 | − | 0.757318i | 0.156927 | − | 0.987610i | \(-0.449841\pi\) |
−0.973121 | + | 0.230293i | \(0.926032\pi\) | |||||||
\(240\) | 15.3482 | − | 0.815557i | 0.990723 | − | 0.0526440i | ||||
\(241\) | 5.54957 | + | 6.95894i | 0.357479 | + | 0.448264i | 0.927756 | − | 0.373188i | \(-0.121735\pi\) |
−0.570277 | + | 0.821453i | \(0.693164\pi\) | |||||||
\(242\) | −1.60793 | − | 0.495980i | −0.103361 | − | 0.0318828i | ||||
\(243\) | −3.97982 | + | 15.0719i | −0.255306 | + | 0.966860i | ||||
\(244\) | 15.6782 | 1.00370 | ||||||||
\(245\) | −20.9546 | + | 15.8861i | −1.33874 | + | 1.01492i | ||||
\(246\) | −0.498812 | − | 0.415823i | −0.0318031 | − | 0.0265119i | ||||
\(247\) | −16.2894 | − | 7.84454i | −1.03647 | − | 0.499136i | ||||
\(248\) | 8.99081 | − | 8.34225i | 0.570917 | − | 0.529734i | ||||
\(249\) | 0.529446 | − | 24.3802i | 0.0335523 | − | 1.54503i | ||||
\(250\) | 7.90183 | + | 2.43739i | 0.499756 | + | 0.154154i | ||||
\(251\) | 2.17442 | − | 9.52676i | 0.137248 | − | 0.601324i | −0.858784 | − | 0.512337i | \(-0.828780\pi\) |
0.996033 | − | 0.0889870i | \(-0.0283630\pi\) | |||||||
\(252\) | −13.3114 | + | 2.78318i | −0.838540 | + | 0.175324i | ||||
\(253\) | 4.43550 | + | 19.4332i | 0.278857 | + | 1.22175i | ||||
\(254\) | 0.136224 | − | 1.81779i | 0.00854747 | − | 0.114058i | ||||
\(255\) | 8.09458 | + | 3.38149i | 0.506902 | + | 0.211757i | ||||
\(256\) | −0.173761 | − | 2.31868i | −0.0108601 | − | 0.144918i | ||||
\(257\) | −15.6356 | + | 19.6065i | −0.975324 | + | 1.22302i | −0.000509018 | 1.00000i | \(0.500162\pi\) | |
−0.974815 | + | 0.223017i | \(0.928409\pi\) | |||||||
\(258\) | 4.24232 | + | 0.410714i | 0.264116 | + | 0.0255699i | ||||
\(259\) | 7.22751 | − | 8.19317i | 0.449096 | − | 0.509099i | ||||
\(260\) | −19.3180 | + | 9.30308i | −1.19805 | + | 0.576953i | ||||
\(261\) | 6.77779 | − | 10.6439i | 0.419535 | − | 0.658840i | ||||
\(262\) | −1.38486 | − | 3.52856i | −0.0855568 | − | 0.217995i | ||||
\(263\) | −13.2784 | −0.818783 | −0.409392 | − | 0.912359i | \(-0.634259\pi\) | ||||
−0.409392 | + | 0.912359i | \(0.634259\pi\) | |||||||
\(264\) | −9.05969 | + | 3.33054i | −0.557585 | + | 0.204980i | ||||
\(265\) | −15.4312 | − | 39.3180i | −0.947929 | − | 2.41528i | ||||
\(266\) | 6.55909 | − | 4.01003i | 0.402163 | − | 0.245871i | ||||
\(267\) | −0.227167 | + | 10.4607i | −0.0139024 | + | 0.640186i | ||||
\(268\) | −24.2442 | + | 3.65423i | −1.48095 | + | 0.223218i | ||||
\(269\) | −0.0629788 | + | 0.840394i | −0.00383989 | + | 0.0512397i | −0.998795 | − | 0.0490856i | \(-0.984369\pi\) |
0.994955 | + | 0.100325i | \(0.0319883\pi\) | |||||||
\(270\) | −8.69131 | − | 5.80343i | −0.528936 | − | 0.353186i | ||||
\(271\) | 1.70690 | − | 4.34910i | 0.103687 | − | 0.264189i | −0.869610 | − | 0.493738i | \(-0.835630\pi\) |
0.973297 | + | 0.229549i | \(0.0737252\pi\) | |||||||
\(272\) | −1.16359 | + | 2.96477i | −0.0705527 | + | 0.179765i | ||||
\(273\) | 12.5840 | − | 8.64295i | 0.761620 | − | 0.523095i | ||||
\(274\) | 2.82033 | + | 7.18608i | 0.170382 | + | 0.434127i | ||||
\(275\) | 25.5400 | 1.54012 | ||||||||
\(276\) | −16.2094 | − | 13.5126i | −0.975693 | − | 0.813363i | ||||
\(277\) | 2.59911 | − | 3.25918i | 0.156165 | − | 0.195825i | −0.697594 | − | 0.716494i | \(-0.745746\pi\) |
0.853759 | + | 0.520669i | \(0.174317\pi\) | |||||||
\(278\) | 8.00838 | − | 2.47026i | 0.480311 | − | 0.148156i | ||||
\(279\) | 18.4029 | − | 1.96129i | 1.10176 | − | 0.117419i | ||||
\(280\) | 2.45296 | − | 19.6069i | 0.146592 | − | 1.17173i | ||||
\(281\) | −0.216771 | − | 2.89261i | −0.0129315 | − | 0.172559i | −0.999930 | − | 0.0118295i | \(-0.996234\pi\) |
0.986999 | − | 0.160729i | \(-0.0513846\pi\) | |||||||
\(282\) | −2.95321 | + | 0.606911i | −0.175861 | + | 0.0361410i | ||||
\(283\) | 2.31102 | + | 30.8384i | 0.137376 | + | 1.83315i | 0.461504 | + | 0.887138i | \(0.347310\pi\) |
−0.324128 | + | 0.946013i | \(0.605071\pi\) | |||||||
\(284\) | 1.12274 | − | 0.346318i | 0.0666222 | − | 0.0205502i | ||||
\(285\) | −34.2476 | − | 8.60317i | −2.02866 | − | 0.509608i | ||||
\(286\) | 3.66497 | − | 3.40060i | 0.216714 | − | 0.201081i | ||||
\(287\) | 1.41906 | − | 1.19123i | 0.0837643 | − | 0.0703160i | ||||
\(288\) | 8.44523 | − | 13.2624i | 0.497640 | − | 0.781496i | ||||
\(289\) | 11.1293 | − | 10.3265i | 0.654666 | − | 0.607441i | ||||
\(290\) | 5.27458 | + | 6.61411i | 0.309734 | + | 0.388394i | ||||
\(291\) | −0.571858 | + | 1.12436i | −0.0335229 | + | 0.0659109i | ||||
\(292\) | 17.8562 | + | 8.59907i | 1.04495 | + | 0.503223i | ||||
\(293\) | −3.22628 | + | 5.58808i | −0.188481 | + | 0.326459i | −0.944744 | − | 0.327809i | \(-0.893690\pi\) |
0.756263 | + | 0.654268i | \(0.227023\pi\) | |||||||
\(294\) | 0.185407 | + | 6.48876i | 0.0108132 | + | 0.378432i | ||||
\(295\) | −12.8888 | − | 22.3241i | −0.750418 | − | 1.29976i | ||||
\(296\) | 0.613522 | + | 8.18689i | 0.0356603 | + | 0.475853i | ||||
\(297\) | −13.9589 | − | 4.15848i | −0.809976 | − | 0.241300i | ||||
\(298\) | −6.10581 | + | 0.920303i | −0.353700 | + | 0.0533117i | ||||
\(299\) | 22.6373 | + | 6.98269i | 1.30915 | + | 0.403819i | ||||
\(300\) | −21.5011 | + | 16.3957i | −1.24137 | + | 0.946607i | ||||
\(301\) | −3.29104 | + | 11.7063i | −0.189692 | + | 0.674740i | ||||
\(302\) | 9.83439 | + | 3.03351i | 0.565906 | + | 0.174559i | ||||
\(303\) | −21.9991 | + | 22.7004i | −1.26382 | + | 1.30410i | ||||
\(304\) | 2.85277 | − | 12.4988i | 0.163617 | − | 0.716854i | ||||
\(305\) | −28.4017 | + | 19.3639i | −1.62627 | + | 1.10878i | ||||
\(306\) | 1.84057 | − | 1.14110i | 0.105219 | − | 0.0652322i | ||||
\(307\) | 9.87422 | + | 4.75517i | 0.563551 | + | 0.271392i | 0.693894 | − | 0.720077i | \(-0.255894\pi\) |
−0.130343 | + | 0.991469i | \(0.541608\pi\) | |||||||
\(308\) | −2.20904 | − | 12.5130i | −0.125872 | − | 0.712995i | ||||
\(309\) | −16.3767 | + | 16.8988i | −0.931639 | + | 0.961337i | ||||
\(310\) | −2.76093 | + | 12.0964i | −0.156810 | + | 0.687032i | ||||
\(311\) | −14.1343 | − | 2.13040i | −0.801482 | − | 0.120804i | −0.264487 | − | 0.964389i | \(-0.585203\pi\) |
−0.536995 | + | 0.843585i | \(0.680441\pi\) | |||||||
\(312\) | −1.95565 | + | 11.3038i | −0.110717 | + | 0.639952i | ||||
\(313\) | 1.61565 | − | 2.79839i | 0.0913220 | − | 0.158174i | −0.816746 | − | 0.576998i | \(-0.804224\pi\) |
0.908068 | + | 0.418824i | \(0.137557\pi\) | |||||||
\(314\) | 0.584629 | − | 0.733101i | 0.0329925 | − | 0.0413713i | ||||
\(315\) | 20.6766 | − | 21.4825i | 1.16500 | − | 1.21040i | ||||
\(316\) | 7.24106 | + | 9.08000i | 0.407342 | + | 0.510790i | ||||
\(317\) | −24.4090 | + | 3.67907i | −1.37095 | + | 0.206637i | −0.792893 | − | 0.609361i | \(-0.791426\pi\) |
−0.578054 | + | 0.815998i | \(0.696188\pi\) | |||||||
\(318\) | −10.1127 | − | 2.54036i | −0.567092 | − | 0.142456i | ||||
\(319\) | 9.74160 | + | 6.64171i | 0.545425 | + | 0.371864i | ||||
\(320\) | −4.49324 | − | 5.63435i | −0.251180 | − | 0.314970i | ||||
\(321\) | −0.216751 | + | 9.98104i | −0.0120978 | + | 0.557088i | ||||
\(322\) | −7.71519 | + | 6.47653i | −0.429951 | + | 0.360923i | ||||
\(323\) | 4.56223 | − | 5.72086i | 0.253849 | − | 0.318317i | ||||
\(324\) | 14.4210 | − | 5.46020i | 0.801167 | − | 0.303345i | ||||
\(325\) | 15.1768 | − | 26.2871i | 0.841859 | − | 1.45814i | ||||
\(326\) | −2.81821 | + | 3.53392i | −0.156086 | + | 0.195726i | ||||
\(327\) | 12.6972 | + | 5.30421i | 0.702154 | + | 0.293323i | ||||
\(328\) | −0.104043 | + | 1.38836i | −0.00574482 | + | 0.0766593i | ||||
\(329\) | −0.216219 | − | 8.59900i | −0.0119205 | − | 0.474078i | ||||
\(330\) | 5.67453 | − | 7.94667i | 0.312373 | − | 0.437450i | ||||
\(331\) | 4.70326 | + | 11.9837i | 0.258514 | + | 0.658684i | 0.999923 | − | 0.0123695i | \(-0.00393743\pi\) |
−0.741409 | + | 0.671053i | \(0.765842\pi\) | |||||||
\(332\) | −19.9310 | + | 13.5887i | −1.09386 | + | 0.745778i | ||||
\(333\) | −6.65404 | + | 10.4495i | −0.364639 | + | 0.572631i | ||||
\(334\) | 2.89797 | + | 1.97580i | 0.158570 | + | 0.108111i | ||||
\(335\) | 39.4060 | − | 36.5634i | 2.15298 | − | 1.99767i | ||||
\(336\) | 7.96056 | + | 7.33572i | 0.434284 | + | 0.400197i | ||||
\(337\) | 17.2354 | + | 15.9921i | 0.938872 | + | 0.871146i | 0.991845 | − | 0.127450i | \(-0.0406791\pi\) |
−0.0529726 | + | 0.998596i | \(0.516870\pi\) | |||||||
\(338\) | 0.226599 | + | 0.992797i | 0.0123254 | + | 0.0540010i | ||||
\(339\) | 3.77432 | − | 2.07117i | 0.204993 | − | 0.112491i | ||||
\(340\) | −1.93098 | − | 8.46018i | −0.104722 | − | 0.458818i | ||||
\(341\) | 1.29225 | + | 17.2439i | 0.0699793 | + | 0.933809i | ||||
\(342\) | −6.64148 | + | 5.64615i | −0.359130 | + | 0.305309i | ||||
\(343\) | −18.3151 | − | 2.74898i | −0.988923 | − | 0.148431i | ||||
\(344\) | −4.56882 | − | 7.91343i | −0.246334 | − | 0.426664i | ||||
\(345\) | 46.0532 | + | 4.45857i | 2.47942 | + | 0.240041i | ||||
\(346\) | −5.55559 | + | 5.15484i | −0.298670 | + | 0.277126i | ||||
\(347\) | −7.10187 | + | 18.0953i | −0.381248 | + | 0.971405i | 0.603491 | + | 0.797370i | \(0.293776\pi\) |
−0.984739 | + | 0.174035i | \(0.944319\pi\) | |||||||
\(348\) | −12.4648 | + | 0.662341i | −0.668183 | + | 0.0355052i | ||||
\(349\) | −3.47499 | + | 1.07189i | −0.186012 | + | 0.0573772i | −0.386362 | − | 0.922347i | \(-0.626268\pi\) |
0.200350 | + | 0.979724i | \(0.435792\pi\) | |||||||
\(350\) | 5.89058 | + | 11.4842i | 0.314865 | + | 0.613855i | ||||
\(351\) | −12.5750 | + | 11.8960i | −0.671204 | + | 0.634963i | ||||
\(352\) | 12.1382 | + | 8.27567i | 0.646967 | + | 0.441095i | ||||
\(353\) | 7.45939 | − | 32.6817i | 0.397023 | − | 1.73947i | −0.241991 | − | 0.970279i | \(-0.577800\pi\) |
0.639014 | − | 0.769195i | \(-0.279342\pi\) | |||||||
\(354\) | −6.33393 | − | 0.613209i | −0.336644 | − | 0.0325917i | ||||
\(355\) | −1.60615 | + | 2.01404i | −0.0852454 | + | 0.106894i | ||||
\(356\) | 8.55172 | − | 5.83047i | 0.453240 | − | 0.309014i | ||||
\(357\) | 2.27697 | + | 5.74367i | 0.120510 | + | 0.303987i | ||||
\(358\) | −1.43808 | − | 0.980464i | −0.0760047 | − | 0.0518191i | ||||
\(359\) | 13.5787 | − | 4.18846i | 0.716654 | − | 0.221058i | 0.0850800 | − | 0.996374i | \(-0.472885\pi\) |
0.631574 | + | 0.775316i | \(0.282409\pi\) | |||||||
\(360\) | 0.702836 | + | 22.3944i | 0.0370427 | + | 1.18029i | ||||
\(361\) | −5.22697 | + | 9.05338i | −0.275104 | + | 0.476494i | ||||
\(362\) | −6.23230 | + | 10.7947i | −0.327562 | + | 0.567354i | ||||
\(363\) | −1.71707 | + | 5.16566i | −0.0901230 | + | 0.271127i | ||||
\(364\) | −14.1917 | − | 5.16205i | −0.743848 | − | 0.270565i | ||||
\(365\) | −42.9677 | + | 6.47633i | −2.24903 | + | 0.338987i | ||||
\(366\) | −0.184236 | + | 8.48380i | −0.00963018 | + | 0.443456i | ||||
\(367\) | 1.70149 | − | 0.819393i | 0.0888169 | − | 0.0427719i | −0.388948 | − | 0.921260i | \(-0.627161\pi\) |
0.477765 | + | 0.878488i | \(0.341447\pi\) | |||||||
\(368\) | −1.25533 | + | 16.7512i | −0.0654386 | + | 0.873217i | ||||
\(369\) | −1.37992 | + | 1.58409i | −0.0718359 | + | 0.0824646i | ||||
\(370\) | −5.17828 | − | 6.49335i | −0.269206 | − | 0.337573i | ||||
\(371\) | 12.2295 | − | 27.1183i | 0.634926 | − | 1.40791i | ||||
\(372\) | −12.1578 | − | 13.6874i | −0.630353 | − | 0.709657i | ||||
\(373\) | 17.1172 | 0.886293 | 0.443146 | − | 0.896449i | \(-0.353862\pi\) | ||||
0.443146 | + | 0.896449i | \(0.353862\pi\) | |||||||
\(374\) | 1.01172 | + | 1.75235i | 0.0523147 | + | 0.0906117i | ||||
\(375\) | 8.43821 | − | 25.3856i | 0.435747 | − | 1.31091i | ||||
\(376\) | 4.73824 | + | 4.39644i | 0.244356 | + | 0.226729i | ||||
\(377\) | 12.6248 | − | 6.07978i | 0.650210 | − | 0.313125i | ||||
\(378\) | −1.34961 | − | 7.23578i | −0.0694165 | − | 0.372168i | ||||
\(379\) | 31.1682 | + | 15.0098i | 1.60100 | + | 0.771002i | 0.999609 | − | 0.0279509i | \(-0.00889819\pi\) |
0.601393 | + | 0.798953i | \(0.294612\pi\) | |||||||
\(380\) | 12.7615 | + | 32.5157i | 0.654650 | + | 1.66802i | ||||
\(381\) | −5.86967 | − | 0.568262i | −0.300712 | − | 0.0291130i | ||||
\(382\) | 8.13843 | − | 2.51037i | 0.416398 | − | 0.128442i | ||||
\(383\) | 12.7508 | − | 6.14044i | 0.651533 | − | 0.313762i | −0.0787622 | − | 0.996893i | \(-0.525097\pi\) |
0.730295 | + | 0.683132i | \(0.239382\pi\) | |||||||
\(384\) | −19.9064 | + | 1.05776i | −1.01584 | + | 0.0539787i | ||||
\(385\) | 19.4564 | + | 19.9394i | 0.991590 | + | 1.01621i | ||||
\(386\) | 2.14385 | − | 9.39284i | 0.109119 | − | 0.478083i | ||||
\(387\) | 1.62633 | − | 13.6920i | 0.0826710 | − | 0.696005i | ||||
\(388\) | 1.23387 | − | 0.185975i | 0.0626400 | − | 0.00944147i | ||||
\(389\) | 2.90791 | + | 12.7404i | 0.147437 | + | 0.645964i | 0.993592 | + | 0.113027i | \(0.0360547\pi\) |
−0.846155 | + | 0.532937i | \(0.821088\pi\) | |||||||
\(390\) | −4.80708 | − | 10.5627i | −0.243416 | − | 0.534864i | ||||
\(391\) | −4.79386 | + | 8.30320i | −0.242436 | + | 0.419911i | ||||
\(392\) | 11.0902 | − | 8.40768i | 0.560139 | − | 0.424652i | ||||
\(393\) | −11.5096 | + | 4.23119i | −0.580584 | + | 0.213435i | ||||
\(394\) | −1.26494 | + | 0.862424i | −0.0637269 | + | 0.0434483i | ||||
\(395\) | −24.3320 | − | 7.50544i | −1.22428 | − | 0.377639i | ||||
\(396\) | 4.67657 | + | 13.6277i | 0.235007 | + | 0.684820i | ||||
\(397\) | −10.5539 | + | 9.79256i | −0.529683 | + | 0.491474i | −0.899072 | − | 0.437801i | \(-0.855758\pi\) |
0.369389 | + | 0.929275i | \(0.379567\pi\) | |||||||
\(398\) | −0.250663 | + | 0.0773192i | −0.0125646 | + | 0.00387566i | ||||
\(399\) | −12.5089 | − | 21.4956i | −0.626228 | − | 1.07613i | ||||
\(400\) | 20.5672 | + | 6.34415i | 1.02836 | + | 0.317208i | ||||
\(401\) | 3.27912 | − | 1.57914i | 0.163751 | − | 0.0788585i | −0.350213 | − | 0.936670i | \(-0.613891\pi\) |
0.513964 | + | 0.857812i | \(0.328176\pi\) | |||||||
\(402\) | −1.69248 | − | 13.1620i | −0.0844133 | − | 0.656460i | ||||
\(403\) | 18.5162 | + | 8.91691i | 0.922356 | + | 0.444183i | ||||
\(404\) | 30.9206 | + | 4.66052i | 1.53836 | + | 0.231870i | ||||
\(405\) | −19.3804 | + | 27.7025i | −0.963019 | + | 1.37655i | ||||
\(406\) | −0.739657 | + | 5.91220i | −0.0367086 | + | 0.293417i | ||||
\(407\) | −9.56374 | − | 6.52045i | −0.474057 | − | 0.323207i | ||||
\(408\) | −4.28404 | − | 1.78965i | −0.212092 | − | 0.0886008i | ||||
\(409\) | 19.5778 | + | 2.95087i | 0.968059 | + | 0.145911i | 0.613995 | − | 0.789310i | \(-0.289562\pi\) |
0.354064 | + | 0.935221i | \(0.384800\pi\) | |||||||
\(410\) | −0.704221 | − | 1.21975i | −0.0347790 | − | 0.0602389i | ||||
\(411\) | 23.4399 | − | 8.61702i | 1.15621 | − | 0.425046i | ||||
\(412\) | 23.0181 | + | 3.46942i | 1.13402 | + | 0.170926i | ||||
\(413\) | 4.91363 | − | 17.4779i | 0.241784 | − | 0.860031i | ||||
\(414\) | 7.50243 | − | 8.61246i | 0.368724 | − | 0.423279i | ||||
\(415\) | 19.3225 | − | 49.2330i | 0.948505 | − | 2.41675i | ||||
\(416\) | 15.7307 | − | 7.57550i | 0.771260 | − | 0.371419i | ||||
\(417\) | −7.42703 | − | 26.0749i | −0.363703 | − | 1.27689i | ||||
\(418\) | −5.07825 | − | 6.36792i | −0.248385 | − | 0.311465i | ||||
\(419\) | −10.8999 | + | 1.64290i | −0.532497 | + | 0.0802610i | −0.409786 | − | 0.912182i | \(-0.634397\pi\) |
−0.122710 | + | 0.992443i | \(0.539159\pi\) | |||||||
\(420\) | −29.1799 | − | 4.29596i | −1.42383 | − | 0.209621i | ||||
\(421\) | 32.2413 | + | 4.85960i | 1.57135 | + | 0.236842i | 0.876172 | − | 0.481999i | \(-0.160089\pi\) |
0.695174 | + | 0.718841i | \(0.255327\pi\) | |||||||
\(422\) | 1.01240 | + | 1.75354i | 0.0492831 | + | 0.0853608i | ||||
\(423\) | 1.75550 | + | 9.59415i | 0.0853552 | + | 0.466484i | ||||
\(424\) | 8.16692 | + | 20.8090i | 0.396621 | + | 1.01057i | ||||
\(425\) | 9.00533 | + | 8.35572i | 0.436823 | + | 0.405312i | ||||
\(426\) | 0.174207 | + | 0.611605i | 0.00844034 | + | 0.0296324i | ||||
\(427\) | −23.7313 | − | 4.79230i | −1.14844 | − | 0.231916i | ||||
\(428\) | 8.15958 | − | 5.56311i | 0.394408 | − | 0.268903i | ||||
\(429\) | −10.7411 | − | 12.0924i | −0.518584 | − | 0.583826i | ||||
\(430\) | 8.32846 | + | 4.01078i | 0.401634 | + | 0.193417i | ||||
\(431\) | −11.3222 | − | 10.5054i | −0.545370 | − | 0.506030i | 0.358677 | − | 0.933462i | \(-0.383228\pi\) |
−0.904048 | + | 0.427432i | \(0.859418\pi\) | |||||||
\(432\) | −10.2080 | − | 6.81619i | −0.491134 | − | 0.327944i | ||||
\(433\) | −5.00988 | − | 21.9497i | −0.240759 | − | 1.05484i | −0.940328 | − | 0.340270i | \(-0.889481\pi\) |
0.699568 | − | 0.714566i | \(-0.253376\pi\) | |||||||
\(434\) | −7.45573 | + | 4.55821i | −0.357887 | + | 0.218801i | ||||
\(435\) | 21.7624 | − | 16.5949i | 1.04343 | − | 0.795666i | ||||
\(436\) | −3.02894 | − | 13.2706i | −0.145060 | − | 0.635548i | ||||
\(437\) | 14.0997 | − | 35.9254i | 0.674478 | − | 1.71854i | ||||
\(438\) | −4.86296 | + | 9.56128i | −0.232361 | + | 0.456856i | ||||
\(439\) | −8.19427 | + | 5.58676i | −0.391091 | + | 0.266641i | −0.742862 | − | 0.669445i | \(-0.766532\pi\) |
0.351771 | + | 0.936086i | \(0.385580\pi\) | |||||||
\(440\) | −20.9346 | −0.998018 | ||||||||
\(441\) | 20.9995 | − | 0.143912i | 0.999977 | − | 0.00685295i | ||||
\(442\) | 2.40480 | 0.114385 | ||||||||
\(443\) | −29.3173 | + | 19.9882i | −1.39291 | + | 0.949667i | −0.393364 | + | 0.919383i | \(0.628689\pi\) |
−0.999541 | + | 0.0302844i | \(0.990359\pi\) | |||||||
\(444\) | 12.2372 | − | 0.650248i | 0.580752 | − | 0.0308594i | ||||
\(445\) | −8.29064 | + | 21.1242i | −0.393014 | + | 1.00138i | ||||
\(446\) | −2.02075 | − | 8.85348i | −0.0956852 | − | 0.419224i | ||||
\(447\) | 2.54767 | + | 19.8125i | 0.120501 | + | 0.937101i | ||||
\(448\) | 0.630090 | − | 5.03641i | 0.0297689 | − | 0.237948i | ||||
\(449\) | −2.45012 | − | 10.7347i | −0.115628 | − | 0.506601i | −0.999262 | − | 0.0384211i | \(-0.987767\pi\) |
0.883633 | − | 0.468180i | \(-0.155090\pi\) | |||||||
\(450\) | −8.61940 | − | 11.8274i | −0.406322 | − | 0.557548i | ||||
\(451\) | −1.43893 | − | 1.33513i | −0.0677566 | − | 0.0628689i | ||||
\(452\) | −3.83701 | − | 1.84780i | −0.180478 | − | 0.0869134i | ||||
\(453\) | 10.5020 | − | 31.5941i | 0.493425 | − | 1.48442i | ||||
\(454\) | 8.97154 | − | 6.11669i | 0.421055 | − | 0.287071i | ||||
\(455\) | 32.0844 | − | 8.17672i | 1.50414 | − | 0.383331i | ||||
\(456\) | 18.1255 | + | 4.55321i | 0.848804 | + | 0.213224i | ||||
\(457\) | −23.6243 | − | 21.9202i | −1.10510 | − | 1.02538i | −0.999520 | − | 0.0309722i | \(-0.990140\pi\) |
−0.105580 | − | 0.994411i | \(-0.533670\pi\) | |||||||
\(458\) | −2.09757 | − | 5.34452i | −0.0980130 | − | 0.249733i | ||||
\(459\) | −3.56136 | − | 6.03308i | −0.166230 | − | 0.281600i | ||||
\(460\) | −22.8844 | − | 39.6369i | −1.06699 | − | 1.84808i | ||||
\(461\) | −17.6113 | − | 2.65448i | −0.820242 | − | 0.123632i | −0.274503 | − | 0.961586i | \(-0.588513\pi\) |
−0.545740 | + | 0.837955i | \(0.683751\pi\) | |||||||
\(462\) | 6.79701 | − | 1.04832i | 0.316225 | − | 0.0487721i | ||||
\(463\) | 25.4229 | − | 3.83188i | 1.18150 | − | 0.178083i | 0.471230 | − | 0.882010i | \(-0.343810\pi\) |
0.710272 | + | 0.703928i | \(0.248572\pi\) | |||||||
\(464\) | 6.19505 | + | 7.76835i | 0.287598 | + | 0.360637i | ||||
\(465\) | 38.9294 | + | 9.77925i | 1.80531 | + | 0.453502i | ||||
\(466\) | 3.74856 | − | 1.80521i | 0.173649 | − | 0.0836248i | ||||
\(467\) | 2.28066 | − | 5.81103i | 0.105536 | − | 0.268903i | −0.868345 | − | 0.495961i | \(-0.834816\pi\) |
0.973881 | + | 0.227059i | \(0.0729110\pi\) | |||||||
\(468\) | 16.8053 | + | 3.28475i | 0.776827 | + | 0.151838i | ||||
\(469\) | 37.8142 | + | 1.87942i | 1.74610 | + | 0.0867835i | ||||
\(470\) | −6.46584 | − | 0.974568i | −0.298247 | − | 0.0449535i | ||||
\(471\) | −2.32999 | − | 1.94234i | −0.107360 | − | 0.0894985i | ||||
\(472\) | 6.82140 | + | 11.8150i | 0.313980 | + | 0.543830i | ||||
\(473\) | 12.7392 | + | 1.92013i | 0.585751 | + | 0.0882877i | ||||
\(474\) | −4.99847 | + | 3.81159i | −0.229587 | + | 0.175072i | ||||
\(475\) | −40.8569 | − | 27.8558i | −1.87465 | − | 1.27811i | ||||
\(476\) | 3.31488 | − | 5.13476i | 0.151937 | − | 0.235351i | ||||
\(477\) | −8.92652 | + | 32.5289i | −0.408717 | + | 1.48940i | ||||
\(478\) | −9.11297 | − | 1.37356i | −0.416818 | − | 0.0628252i | ||||
\(479\) | 29.4391 | + | 14.1771i | 1.34510 | + | 0.647768i | 0.961264 | − | 0.275631i | \(-0.0888867\pi\) |
0.383841 | + | 0.923399i | \(0.374601\pi\) | |||||||
\(480\) | 27.1163 | − | 20.6775i | 1.23768 | − | 0.943796i | ||||
\(481\) | −12.3943 | + | 5.96878i | −0.565131 | + | 0.272153i | ||||
\(482\) | 4.55380 | + | 1.40466i | 0.207420 | + | 0.0639805i | ||||
\(483\) | 20.4050 | + | 25.4080i | 0.928461 | + | 1.15610i | ||||
\(484\) | 5.14554 | − | 1.58719i | 0.233888 | − | 0.0721449i | ||||
\(485\) | −2.00550 | + | 1.86083i | −0.0910650 | + | 0.0844959i | ||||
\(486\) | 2.78516 | + | 7.86767i | 0.126338 | + | 0.356885i | ||||
\(487\) | 2.10697 | + | 0.649915i | 0.0954761 | + | 0.0294505i | 0.342125 | − | 0.939654i | \(-0.388853\pi\) |
−0.246649 | + | 0.969105i | \(0.579330\pi\) | |||||||
\(488\) | 15.0315 | − | 10.2483i | 0.680445 | − | 0.463920i | ||||
\(489\) | 11.2318 | + | 9.36309i | 0.507918 | + | 0.423414i | ||||
\(490\) | −4.47840 | + | 13.3475i | −0.202313 | + | 0.602978i | ||||
\(491\) | −1.46749 | + | 2.54177i | −0.0662269 | + | 0.114708i | −0.897238 | − | 0.441548i | \(-0.854429\pi\) |
0.831011 | + | 0.556256i | \(0.187763\pi\) | |||||||
\(492\) | 2.06848 | + | 0.200257i | 0.0932543 | + | 0.00902827i | ||||
\(493\) | 1.26194 | + | 5.52893i | 0.0568350 | + | 0.249010i | ||||
\(494\) | −9.57187 | + | 1.44273i | −0.430659 | + | 0.0649113i | ||||
\(495\) | −25.3032 | − | 18.9112i | −1.13729 | − | 0.849995i | ||||
\(496\) | −3.24275 | + | 14.2074i | −0.145604 | + | 0.637931i | ||||
\(497\) | −1.80529 | + | 0.181022i | −0.0809782 | + | 0.00811994i | ||||
\(498\) | −7.11893 | − | 10.9448i | −0.319007 | − | 0.490446i | ||||
\(499\) | 19.8446 | − | 9.55665i | 0.888366 | − | 0.427814i | 0.0666927 | − | 0.997774i | \(-0.478755\pi\) |
0.821673 | + | 0.569959i | \(0.193041\pi\) | |||||||
\(500\) | −25.2867 | + | 7.79991i | −1.13086 | + | 0.348823i | ||||
\(501\) | 6.59385 | − | 9.23408i | 0.294591 | − | 0.412548i | ||||
\(502\) | −1.91140 | − | 4.87017i | −0.0853100 | − | 0.217366i | ||||
\(503\) | −20.8126 | − | 10.0228i | −0.927986 | − | 0.446894i | −0.0920703 | − | 0.995753i | \(-0.529348\pi\) |
−0.835916 | + | 0.548858i | \(0.815063\pi\) | |||||||
\(504\) | −10.9431 | + | 11.3696i | −0.487443 | + | 0.506442i | ||||
\(505\) | −61.7699 | + | 29.7468i | −2.74872 | + | 1.32372i | ||||
\(506\) | 7.82324 | + | 7.25890i | 0.347785 | + | 0.322698i | ||||
\(507\) | 3.22690 | − | 0.663156i | 0.143312 | − | 0.0294518i | ||||
\(508\) | 2.91671 | + | 5.05189i | 0.129408 | + | 0.224141i | ||||
\(509\) | −22.5733 | −1.00054 | −0.500271 | − | 0.865869i | \(-0.666766\pi\) | ||||
−0.500271 | + | 0.865869i | \(0.666766\pi\) | |||||||
\(510\) | 4.60067 | − | 0.945477i | 0.203721 | − | 0.0418664i | ||||
\(511\) | −24.3995 | − | 18.4740i | −1.07937 | − | 0.817241i | ||||
\(512\) | 13.5755 | + | 17.0231i | 0.599958 | + | 0.752323i | ||||
\(513\) | 17.7948 | + | 21.8770i | 0.785659 | + | 0.965892i | ||||
\(514\) | −1.00337 | + | 13.3891i | −0.0442568 | + | 0.590566i | ||||
\(515\) | −45.9831 | + | 22.1443i | −2.02626 | + | 0.975794i | ||||
\(516\) | −11.9573 | + | 6.56162i | −0.526391 | + | 0.288859i | ||||
\(517\) | −9.01138 | + | 1.35825i | −0.396320 | + | 0.0597356i | ||||
\(518\) | 0.726153 | − | 5.80425i | 0.0319053 | − | 0.255024i | ||||
\(519\) | 16.2820 | + | 18.3304i | 0.714700 | + | 0.804616i | ||||
\(520\) | −12.4401 | + | 21.5469i | −0.545535 | + | 0.944894i | ||||
\(521\) | −3.02037 | + | 5.23143i | −0.132325 | + | 0.229193i | −0.924572 | − | 0.381007i | \(-0.875577\pi\) |
0.792248 | + | 0.610200i | \(0.208911\pi\) | |||||||
\(522\) | −0.211931 | − | 6.75274i | −0.00927598 | − | 0.295559i | ||||
\(523\) | 25.1751 | − | 7.76548i | 1.10083 | − | 0.339561i | 0.309468 | − | 0.950910i | \(-0.399849\pi\) |
0.791361 | + | 0.611349i | \(0.209373\pi\) | |||||||
\(524\) | 10.0225 | + | 6.83323i | 0.437835 | + | 0.298511i | ||||
\(525\) | 37.5568 | − | 18.2452i | 1.63911 | − | 0.796285i | ||||
\(526\) | −5.87398 | + | 4.00481i | −0.256118 | + | 0.174618i | ||||
\(527\) | −5.18590 | + | 6.50291i | −0.225901 | + | 0.283271i | ||||
\(528\) | 6.66480 | − | 9.33344i | 0.290048 | − | 0.406186i | ||||
\(529\) | −6.13450 | + | 26.8770i | −0.266717 | + | 1.16856i | ||||
\(530\) | −18.6847 | − | 12.7390i | −0.811612 | − | 0.553347i | ||||
\(531\) | −2.42816 | + | 20.4426i | −0.105373 | + | 0.887135i | ||||
\(532\) | −10.1137 | + | 22.4267i | −0.438487 | + | 0.972320i | ||||
\(533\) | −2.22925 | + | 0.687632i | −0.0965595 | + | 0.0297847i | ||||
\(534\) | 3.05449 | + | 4.69603i | 0.132181 | + | 0.203217i | ||||
\(535\) | −7.91047 | + | 20.1556i | −0.341999 | + | 0.871400i | ||||
\(536\) | −20.8556 | + | 19.3511i | −0.900823 | + | 0.835842i | ||||
\(537\) | −3.27210 | + | 4.58228i | −0.141202 | + | 0.197740i | ||||
\(538\) | 0.225605 | + | 0.390760i | 0.00972654 | + | 0.0168469i | ||||
\(539\) | −0.481093 | + | 19.6155i | −0.0207221 | + | 0.844901i | ||||
\(540\) | 33.4420 | − | 0.323106i | 1.43912 | − | 0.0139043i | ||||
\(541\) | 1.35270 | + | 18.0505i | 0.0581570 | + | 0.776051i | 0.947692 | + | 0.319185i | \(0.103409\pi\) |
−0.889535 | + | 0.456866i | \(0.848972\pi\) | |||||||
\(542\) | −0.556622 | − | 2.43872i | −0.0239089 | − | 0.104752i | ||||
\(543\) | 34.4752 | + | 20.9152i | 1.47947 | + | 0.897556i | ||||
\(544\) | 1.57240 | + | 6.88913i | 0.0674160 | + | 0.295369i | ||||
\(545\) | 21.8774 | + | 20.2993i | 0.937125 | + | 0.869525i | ||||
\(546\) | 2.96006 | − | 7.61876i | 0.126679 | − | 0.326053i | ||||
\(547\) | 15.1783 | − | 14.0834i | 0.648977 | − | 0.602163i | −0.285417 | − | 0.958403i | \(-0.592132\pi\) |
0.934394 | + | 0.356240i | \(0.115942\pi\) | |||||||
\(548\) | −20.4113 | − | 13.9162i | −0.871929 | − | 0.594471i | ||||
\(549\) | 27.4261 | + | 1.19174i | 1.17052 | + | 0.0508624i | ||||
\(550\) | 11.2981 | − | 7.70295i | 0.481755 | − | 0.328455i | ||||
\(551\) | −8.33993 | − | 21.2498i | −0.355293 | − | 0.905271i | ||||
\(552\) | −24.3736 | − | 2.35969i | −1.03741 | − | 0.100435i | ||||
\(553\) | −8.18497 | − | 15.9573i | −0.348060 | − | 0.678573i | ||||
\(554\) | 0.166790 | − | 2.22566i | 0.00708624 | − | 0.0945592i | ||||
\(555\) | −21.3650 | + | 16.2919i | −0.906895 | + | 0.691554i | ||||
\(556\) | −16.7215 | + | 20.9681i | −0.709148 | + | 0.889244i | ||||
\(557\) | 15.4431 | − | 26.7483i | 0.654346 | − | 1.13336i | −0.327712 | − | 0.944778i | \(-0.606277\pi\) |
0.982057 | − | 0.188582i | \(-0.0603892\pi\) | |||||||
\(558\) | 7.54938 | − | 6.41800i | 0.319591 | − | 0.271696i | ||||
\(559\) | 9.54642 | − | 11.9708i | 0.403771 | − | 0.506312i | ||||
\(560\) | 10.7152 | + | 20.8901i | 0.452798 | + | 0.882767i | ||||
\(561\) | 5.73864 | − | 3.14910i | 0.242286 | − | 0.132955i | ||||
\(562\) | −0.968313 | − | 1.21423i | −0.0408458 | − | 0.0512190i | ||||
\(563\) | 22.5793 | + | 15.3943i | 0.951605 | + | 0.648793i | 0.936342 | − | 0.351090i | \(-0.114189\pi\) |
0.0152631 | + | 0.999884i | \(0.495141\pi\) | |||||||
\(564\) | 6.71438 | − | 6.92841i | 0.282726 | − | 0.291739i | ||||
\(565\) | 9.23307 | − | 1.39166i | 0.388438 | − | 0.0585477i | ||||
\(566\) | 10.3233 | + | 12.9450i | 0.433919 | + | 0.544118i | ||||
\(567\) | −23.4973 | + | 3.85681i | −0.986796 | + | 0.161971i | ||||
\(568\) | 0.850050 | − | 1.06593i | 0.0356673 | − | 0.0447254i | ||||
\(569\) | −4.03224 | + | 6.98404i | −0.169040 | + | 0.292786i | −0.938083 | − | 0.346412i | \(-0.887400\pi\) |
0.769043 | + | 0.639198i | \(0.220733\pi\) | |||||||
\(570\) | −17.7449 | + | 6.52340i | −0.743251 | + | 0.273235i | ||||
\(571\) | −32.9521 | − | 4.96673i | −1.37900 | − | 0.207851i | −0.582669 | − | 0.812710i | \(-0.697991\pi\) |
−0.796333 | + | 0.604859i | \(0.793230\pi\) | |||||||
\(572\) | −3.56017 | + | 15.5981i | −0.148858 | + | 0.652191i | ||||
\(573\) | −7.54764 | − | 26.4983i | −0.315307 | − | 1.10698i | ||||
\(574\) | 0.268471 | − | 0.954956i | 0.0112058 | − | 0.0398591i | ||||
\(575\) | 58.3764 | + | 28.1126i | 2.43446 | + | 1.17238i | ||||
\(576\) | 0.180537 | + | 5.75244i | 0.00752239 | + | 0.239685i | ||||
\(577\) | −27.4854 | + | 18.7392i | −1.14423 | + | 0.780124i | −0.978541 | − | 0.206054i | \(-0.933938\pi\) |
−0.165691 | + | 0.986178i | \(0.552985\pi\) | |||||||
\(578\) | 1.80878 | − | 7.92477i | 0.0752352 | − | 0.329627i | ||||
\(579\) | −30.2285 | − | 7.59355i | −1.25625 | − | 0.315577i | ||||
\(580\) | −25.8694 | − | 7.97966i | −1.07417 | − | 0.331337i | ||||
\(581\) | 34.3221 | − | 14.4763i | 1.42392 | − | 0.600579i | ||||
\(582\) | 0.0861358 | + | 0.669855i | 0.00357044 | + | 0.0277664i | ||||
\(583\) | −30.1169 | − | 9.28984i | −1.24732 | − | 0.384746i | ||||
\(584\) | 22.7406 | − | 3.42759i | 0.941011 | − | 0.141835i | ||||
\(585\) | −34.5004 | + | 14.8056i | −1.42642 | + | 0.612135i | ||||
\(586\) | 0.258171 | + | 3.44505i | 0.0106650 | + | 0.142314i | ||||
\(587\) | 6.44215 | + | 11.1581i | 0.265896 | + | 0.460546i | 0.967798 | − | 0.251728i | \(-0.0809988\pi\) |
−0.701902 | + | 0.712274i | \(0.747665\pi\) | |||||||
\(588\) | −12.1874 | − | 16.8224i | −0.502600 | − | 0.693744i | ||||
\(589\) | 16.7402 | − | 28.9949i | 0.689767 | − | 1.19471i | ||||
\(590\) | −12.4347 | − | 5.98822i | −0.511927 | − | 0.246531i | ||||
\(591\) | 2.70048 | + | 4.15176i | 0.111083 | + | 0.170780i | ||||
\(592\) | −6.08194 | − | 7.62651i | −0.249966 | − | 0.313448i | ||||
\(593\) | 16.6093 | − | 15.4112i | 0.682062 | − | 0.632861i | −0.261055 | − | 0.965324i | \(-0.584070\pi\) |
0.943116 | + | 0.332463i | \(0.107880\pi\) | |||||||
\(594\) | −7.42920 | + | 2.37045i | −0.304824 | + | 0.0972607i | ||||
\(595\) | 0.336837 | + | 13.3960i | 0.0138090 | + | 0.549181i | ||||
\(596\) | 14.4851 | − | 13.4402i | 0.593331 | − | 0.550531i | ||||
\(597\) | 0.232466 | + | 0.816144i | 0.00951422 | + | 0.0334026i | ||||
\(598\) | 12.1201 | − | 3.73855i | 0.495627 | − | 0.152881i | ||||
\(599\) | 2.54025 | + | 33.8973i | 0.103792 | + | 1.38501i | 0.769430 | + | 0.638731i | \(0.220540\pi\) |
−0.665638 | + | 0.746275i | \(0.731840\pi\) | |||||||
\(600\) | −9.89694 | + | 29.7740i | −0.404041 | + | 1.21552i | ||||
\(601\) | −1.49278 | − | 19.9198i | −0.0608918 | − | 0.812544i | −0.941137 | − | 0.338025i | \(-0.890241\pi\) |
0.880245 | − | 0.474519i | \(-0.157378\pi\) | |||||||
\(602\) | 2.07480 | + | 6.17111i | 0.0845624 | + | 0.251515i | ||||
\(603\) | −42.6885 | + | 4.54951i | −1.73841 | + | 0.185270i | ||||
\(604\) | −31.4711 | + | 9.70755i | −1.28054 | + | 0.394994i | ||||
\(605\) | −7.36102 | + | 9.23043i | −0.299268 | + | 0.375270i | ||||
\(606\) | −2.88525 | + | 16.6770i | −0.117205 | + | 0.677456i | ||||
\(607\) | 14.4609 | 0.586951 | 0.293475 | − | 0.955967i | \(-0.405188\pi\) | ||||
0.293475 | + | 0.955967i | \(0.405188\pi\) | |||||||
\(608\) | −10.3917 | − | 26.4776i | −0.421438 | − | 1.07381i | ||||
\(609\) | 19.0698 | + | 2.80751i | 0.772746 | + | 0.113766i | ||||
\(610\) | −6.72384 | + | 17.1321i | −0.272240 | + | 0.693657i | ||||
\(611\) | −3.95692 | + | 10.0821i | −0.160080 | + | 0.407877i | ||||
\(612\) | −2.80953 | + | 6.33509i | −0.113569 | + | 0.256081i | ||||
\(613\) | 2.86626 | − | 38.2476i | 0.115767 | − | 1.54481i | −0.572838 | − | 0.819669i | \(-0.694158\pi\) |
0.688605 | − | 0.725137i | \(-0.258223\pi\) | |||||||
\(614\) | 5.80223 | − | 0.874546i | 0.234159 | − | 0.0352938i | ||||
\(615\) | −3.99446 | + | 2.19198i | −0.161072 | + | 0.0883891i | ||||
\(616\) | −10.2973 | − | 10.5529i | −0.414889 | − | 0.425189i | ||||
\(617\) | −5.27525 | − | 13.4411i | −0.212373 | − | 0.541119i | 0.784500 | − | 0.620128i | \(-0.212919\pi\) |
−0.996874 | + | 0.0790097i | \(0.974824\pi\) | |||||||
\(618\) | −2.14786 | + | 12.4148i | −0.0863995 | + | 0.499395i | ||||
\(619\) | −31.3713 | −1.26092 | −0.630459 | − | 0.776222i | \(-0.717133\pi\) | ||||
−0.630459 | + | 0.776222i | \(0.717133\pi\) | |||||||
\(620\) | −14.5060 | − | 36.9607i | −0.582575 | − | 1.48438i | ||||
\(621\) | −27.3282 | − | 24.8699i | −1.09664 | − | 0.997994i | ||||
\(622\) | −6.89513 | + | 3.32052i | −0.276469 | + | 0.133141i | ||||
\(623\) | −14.7265 | + | 6.21131i | −0.590004 | + | 0.248851i | ||||
\(624\) | −5.64597 | − | 12.4060i | −0.226020 | − | 0.496638i | ||||
\(625\) | 7.76968 | − | 9.74286i | 0.310787 | − | 0.389715i | ||||
\(626\) | −0.129287 | − | 1.72521i | −0.00516733 | − | 0.0689532i | ||||
\(627\) | −20.9523 | + | 15.9772i | −0.836756 | + | 0.638069i | ||||
\(628\) | −0.224239 | + | 2.99226i | −0.00894810 | + | 0.119404i | ||||
\(629\) | −1.23890 | − | 5.42798i | −0.0493982 | − | 0.216428i | ||||
\(630\) | 2.66753 | − | 15.7394i | 0.106277 | − | 0.627072i | ||||
\(631\) | 3.31254 | − | 14.5132i | 0.131870 | − | 0.577760i | −0.865211 | − | 0.501408i | \(-0.832816\pi\) |
0.997081 | − | 0.0763522i | \(-0.0243273\pi\) | |||||||
\(632\) | 12.8777 | + | 3.97224i | 0.512247 | + | 0.158007i | ||||
\(633\) | 5.74254 | − | 3.15124i | 0.228245 | − | 0.125251i | ||||
\(634\) | −9.68820 | + | 8.98934i | −0.384768 | + | 0.357012i | ||||
\(635\) | −11.5232 | − | 5.54930i | −0.457286 | − | 0.220217i | ||||
\(636\) | 31.3180 | − | 11.5132i | 1.24184 | − | 0.456527i | ||||
\(637\) | 19.9034 | + | 12.1514i | 0.788601 | + | 0.481458i | ||||
\(638\) | 6.31255 | 0.249916 | ||||||||
\(639\) | 1.99034 | − | 0.520476i | 0.0787366 | − | 0.0205897i | ||||
\(640\) | −41.3136 | − | 12.7436i | −1.63307 | − | 0.503734i | ||||
\(641\) | −23.1660 | − | 29.0492i | −0.915001 | − | 1.14737i | −0.988672 | − | 0.150092i | \(-0.952043\pi\) |
0.0736710 | − | 0.997283i | \(-0.476529\pi\) | |||||||
\(642\) | 2.91443 | + | 4.48069i | 0.115023 | + | 0.176839i | ||||
\(643\) | −24.4711 | − | 22.7059i | −0.965047 | − | 0.895433i | 0.0295164 | − | 0.999564i | \(-0.490603\pi\) |
−0.994564 | + | 0.104131i | \(0.966794\pi\) | |||||||
\(644\) | 8.72424 | − | 31.0323i | 0.343783 | − | 1.22284i | ||||
\(645\) | 13.5569 | − | 26.6549i | 0.533804 | − | 1.04954i | ||||
\(646\) | 0.292768 | − | 3.90672i | 0.0115188 | − | 0.153708i | ||||
\(647\) | −1.39904 | − | 1.29812i | −0.0550019 | − | 0.0510343i | 0.652193 | − | 0.758053i | \(-0.273849\pi\) |
−0.707195 | + | 0.707019i | \(0.750040\pi\) | |||||||
\(648\) | 10.2570 | − | 14.6615i | 0.402934 | − | 0.575959i | ||||
\(649\) | −19.0201 | − | 2.86682i | −0.746604 | − | 0.112532i | ||||
\(650\) | −1.21447 | − | 16.2060i | −0.0476355 | − | 0.635651i | ||||
\(651\) | 14.2189 | + | 24.4341i | 0.557282 | + | 0.957648i | ||||
\(652\) | 1.08095 | − | 14.4242i | 0.0423331 | − | 0.564896i | ||||
\(653\) | −2.46453 | + | 10.7978i | −0.0964446 | + | 0.422551i | −0.999982 | − | 0.00595737i | \(-0.998104\pi\) |
0.903538 | + | 0.428509i | \(0.140961\pi\) | |||||||
\(654\) | 7.21661 | − | 1.48307i | 0.282192 | − | 0.0579928i | ||||
\(655\) | −26.5958 | −1.03918 | ||||||||
\(656\) | −0.827115 | − | 1.43260i | −0.0322934 | − | 0.0559338i | ||||
\(657\) | 30.5823 | + | 16.3997i | 1.19313 | + | 0.639815i | ||||
\(658\) | −2.68913 | − | 3.73873i | −0.104833 | − | 0.145751i | ||||
\(659\) | 4.22868 | − | 10.7745i | 0.164726 | − | 0.419715i | −0.824547 | − | 0.565794i | \(-0.808570\pi\) |
0.989273 | + | 0.146078i | \(0.0466651\pi\) | |||||||
\(660\) | −0.678432 | + | 31.2408i | −0.0264079 | + | 1.21605i | ||||
\(661\) | −4.96005 | − | 3.38170i | −0.192923 | − | 0.131533i | 0.463006 | − | 0.886355i | \(-0.346771\pi\) |
−0.655930 | + | 0.754822i | \(0.727723\pi\) | |||||||
\(662\) | 5.69490 | + | 3.88272i | 0.221339 | + | 0.150906i | ||||
\(663\) | 0.168905 | − | 7.77781i | 0.00655971 | − | 0.302065i | ||||
\(664\) | −10.2264 | + | 26.0565i | −0.396861 | + | 1.01119i | ||||
\(665\) | −9.37744 | − | 53.1181i | −0.363642 | − | 2.05983i | ||||
\(666\) | 0.208062 | + | 6.62944i | 0.00806223 | + | 0.256886i | ||||
\(667\) | 14.9555 | + | 25.9037i | 0.579079 | + | 1.00299i | ||||
\(668\) | −11.2241 | −0.434275 | ||||||||
\(669\) | −28.7766 | + | 5.91383i | −1.11257 | + | 0.228642i | ||||
\(670\) | 6.40441 | − | 28.0595i | 0.247424 | − | 1.08403i | ||||
\(671\) | −1.91682 | + | 25.5781i | −0.0739979 | + | 0.987433i | ||||
\(672\) | 23.7612 | + | 3.49820i | 0.916609 | + | 0.134946i | ||||
\(673\) | 0.429909 | + | 5.73674i | 0.0165718 | + | 0.221135i | 0.999341 | + | 0.0362981i | \(0.0115566\pi\) |
−0.982769 | + | 0.184837i | \(0.940824\pi\) | |||||||
\(674\) | 12.4477 | + | 1.87619i | 0.479468 | + | 0.0722681i | ||||
\(675\) | −38.8585 | + | 27.0469i | −1.49566 | + | 1.04103i | ||||
\(676\) | −2.38884 | − | 2.21652i | −0.0918784 | − | 0.0852507i | ||||
\(677\) | −1.13659 | + | 15.1668i | −0.0436828 | + | 0.582906i | 0.931820 | + | 0.362920i | \(0.118220\pi\) |
−0.975503 | + | 0.219986i | \(0.929399\pi\) | |||||||
\(678\) | 1.04497 | − | 2.05457i | 0.0401320 | − | 0.0789052i | ||||
\(679\) | −1.92448 | − | 0.0956495i | −0.0738550 | − | 0.00367069i | ||||
\(680\) | −7.38147 | − | 6.84900i | −0.283066 | − | 0.262647i | ||||
\(681\) | −19.1530 | − | 29.4461i | −0.733944 | − | 1.12838i | ||||
\(682\) | 5.77246 | + | 7.23844i | 0.221039 | + | 0.277174i | ||||
\(683\) | 37.1437 | + | 11.4573i | 1.42127 | + | 0.438402i | 0.907690 | − | 0.419642i | \(-0.137844\pi\) |
0.513576 | + | 0.858044i | \(0.328321\pi\) | |||||||
\(684\) | 7.38218 | − | 26.9012i | 0.282265 | − | 1.02859i | ||||
\(685\) | 54.1636 | 2.06948 | ||||||||
\(686\) | −8.93116 | + | 4.30782i | −0.340993 | + | 0.164473i | ||||
\(687\) | −17.4330 | + | 6.40875i | −0.665111 | + | 0.244509i | ||||
\(688\) | 9.78187 | + | 4.71070i | 0.372930 | + | 0.179594i | ||||
\(689\) | −27.4582 | + | 25.4775i | −1.04607 | + | 0.970614i | ||||
\(690\) | 21.7173 | − | 11.9174i | 0.826762 | − | 0.453689i | ||||
\(691\) | −20.6183 | − | 6.35990i | −0.784357 | − | 0.241942i | −0.123391 | − | 0.992358i | \(-0.539377\pi\) |
−0.660966 | + | 0.750416i | \(0.729853\pi\) | |||||||
\(692\) | 5.39673 | − | 23.6446i | 0.205153 | − | 0.898834i | ||||
\(693\) | −2.91315 | − | 22.0571i | −0.110661 | − | 0.837879i | ||||
\(694\) | 2.31593 | + | 10.1468i | 0.0879115 | + | 0.385165i | ||||
\(695\) | 4.39422 | − | 58.6368i | 0.166682 | − | 2.22422i | ||||
\(696\) | −11.5177 | + | 8.78284i | −0.436577 | + | 0.332913i | ||||
\(697\) | −0.0705576 | − | 0.941526i | −0.00267256 | − | 0.0356628i | ||||
\(698\) | −1.21395 | + | 1.52224i | −0.0459486 | + | 0.0576177i | ||||
\(699\) | −5.57528 | − | 12.2507i | −0.210876 | − | 0.463364i | ||||
\(700\) | −36.2773 | − | 19.7459i | −1.37115 | − | 0.746324i | ||||
\(701\) | 21.0315 | − | 10.1282i | 0.794349 | − | 0.382538i | 0.00772463 | − | 0.999970i | \(-0.497541\pi\) |
0.786624 | + | 0.617432i | \(0.211827\pi\) | |||||||
\(702\) | −1.97493 | + | 9.05511i | −0.0745388 | + | 0.341763i | ||||
\(703\) | 8.18765 | + | 20.8618i | 0.308803 | + | 0.786818i | ||||
\(704\) | −5.37746 | −0.202671 | ||||||||
\(705\) | −3.60617 | + | 20.8439i | −0.135816 | + | 0.785027i | ||||
\(706\) | −6.55709 | − | 16.7072i | −0.246779 | − | 0.628784i | ||||
\(707\) | −45.3783 | − | 16.5058i | −1.70663 | − | 0.620763i | ||||
\(708\) | 17.8527 | − | 9.79671i | 0.670944 | − | 0.368183i | ||||
\(709\) | 43.1745 | − | 6.50750i | 1.62145 | − | 0.244394i | 0.725394 | − | 0.688334i | \(-0.241657\pi\) |
0.896057 | + | 0.443939i | \(0.146419\pi\) | |||||||
\(710\) | −0.103070 | + | 1.37537i | −0.00386814 | + | 0.0516168i | ||||
\(711\) | 11.9767 | + | 16.4342i | 0.449160 | + | 0.616329i | ||||
\(712\) | 4.38781 | − | 11.1799i | 0.164440 | − | 0.418986i | ||||
\(713\) | −16.0271 | + | 40.8365i | −0.600221 | + | 1.52934i | ||||
\(714\) | 2.73957 | + | 1.85409i | 0.102526 | + | 0.0693876i | ||||
\(715\) | −12.8156 | − | 32.6537i | −0.479277 | − | 1.22118i | ||||
\(716\) | 5.56981 | 0.208154 | ||||||||
\(717\) | −5.08254 | + | 29.3775i | −0.189811 | + | 1.09712i | ||||
\(718\) | 4.74354 | − | 5.94821i | 0.177027 | − | 0.221985i | ||||
\(719\) | −30.8104 | + | 9.50375i | −1.14903 | + | 0.354430i | −0.810049 | − | 0.586362i | \(-0.800560\pi\) |
−0.338985 | + | 0.940792i | \(0.610083\pi\) | |||||||
\(720\) | −15.6790 | − | 21.5144i | −0.584321 | − | 0.801794i | ||||
\(721\) | −33.7808 | − | 12.2873i | −1.25806 | − | 0.457603i | ||||
\(722\) | 0.418269 | + | 5.58141i | 0.0155664 | + | 0.207719i | ||||
\(723\) | 4.86291 | − | 14.6296i | 0.180854 | − | 0.544081i | ||||
\(724\) | −2.98083 | − | 39.7765i | −0.110782 | − | 1.47828i | ||||
\(725\) | 36.6222 | − | 11.2965i | 1.36011 | − | 0.419540i | ||||
\(726\) | 0.798394 | + | 2.80301i | 0.0296312 | + | 0.104029i | ||||
\(727\) | −0.400605 | + | 0.371707i | −0.0148576 | + | 0.0137858i | −0.687567 | − | 0.726121i | \(-0.741321\pi\) |
0.672709 | + | 0.739907i | \(0.265131\pi\) | |||||||
\(728\) | −16.9806 | + | 4.32752i | −0.629343 | + | 0.160388i | ||||
\(729\) | 25.6419 | − | 8.45541i | 0.949699 | − | 0.313163i | ||||
\(730\) | −17.0543 | + | 15.8241i | −0.631209 | + | 0.585676i | ||||
\(731\) | 3.86362 | + | 4.84482i | 0.142901 | + | 0.179192i | ||||
\(732\) | −14.8065 | − | 22.7637i | −0.547264 | − | 0.841372i | ||||
\(733\) | −0.501718 | − | 0.241615i | −0.0185314 | − | 0.00892425i | 0.424595 | − | 0.905383i | \(-0.360416\pi\) |
−0.443126 | + | 0.896459i | \(0.646131\pi\) | |||||||
\(734\) | 0.505556 | − | 0.875648i | 0.0186604 | − | 0.0323208i | ||||
\(735\) | 42.8550 | + | 15.4219i | 1.58073 | + | 0.568845i | ||||
\(736\) | 18.6348 | + | 32.2764i | 0.686887 | + | 1.18972i | ||||
\(737\) | −2.99757 | − | 39.9999i | −0.110417 | − | 1.47341i | ||||
\(738\) | −0.132670 | + | 1.11694i | −0.00488365 | + | 0.0411153i | ||||
\(739\) | −13.9970 | + | 2.10971i | −0.514889 | + | 0.0776071i | −0.401347 | − | 0.915926i | \(-0.631458\pi\) |
−0.113542 | + | 0.993533i | \(0.536220\pi\) | |||||||
\(740\) | 25.3971 | + | 7.83397i | 0.933616 | + | 0.287982i | ||||
\(741\) | 3.99389 | + | 31.0594i | 0.146719 | + | 1.14100i | ||||
\(742\) | −2.76899 | − | 15.6848i | −0.101653 | − | 0.575807i | ||||
\(743\) | −3.80491 | − | 1.17366i | −0.139588 | − | 0.0430573i | 0.224174 | − | 0.974549i | \(-0.428032\pi\) |
−0.363762 | + | 0.931492i | \(0.618508\pi\) | |||||||
\(744\) | −20.6033 | − | 5.17565i | −0.755354 | − | 0.189749i | ||||
\(745\) | −9.64046 | + | 42.2376i | −0.353199 | + | 1.54747i | ||||
\(746\) | 7.57212 | − | 5.16259i | 0.277235 | − | 0.189016i | ||||
\(747\) | −35.8984 | + | 22.2559i | −1.31346 | + | 0.814301i | ||||
\(748\) | −5.83396 | − | 2.80949i | −0.213311 | − | 0.102725i | ||||
\(749\) | −14.0512 | + | 5.92648i | −0.513419 | + | 0.216549i | ||||
\(750\) | −3.92355 | − | 13.7748i | −0.143268 | − | 0.502985i | ||||
\(751\) | 1.25907 | − | 5.51633i | 0.0459440 | − | 0.201294i | −0.946747 | − | 0.321979i | \(-0.895652\pi\) |
0.992691 | + | 0.120685i | \(0.0385091\pi\) | |||||||
\(752\) | −7.59420 | − | 1.14464i | −0.276932 | − | 0.0417408i | ||||
\(753\) | −15.8858 | + | 5.83995i | −0.578909 | + | 0.212819i | ||||
\(754\) | 3.75115 | − | 6.49719i | 0.136609 | − | 0.236614i | ||||
\(755\) | 45.0214 | − | 56.4550i | 1.63850 | − | 2.05461i | ||||
\(756\) | 16.6123 | + | 16.6988i | 0.604182 | + | 0.607331i | ||||
\(757\) | −6.01563 | − | 7.54336i | −0.218642 | − | 0.274168i | 0.660399 | − | 0.750915i | \(-0.270387\pi\) |
−0.879041 | + | 0.476747i | \(0.841816\pi\) | |||||||
\(758\) | 18.3149 | − | 2.76052i | 0.665227 | − | 0.100267i | ||||
\(759\) | 24.0268 | − | 24.7927i | 0.872118 | − | 0.899919i | ||||
\(760\) | 33.4895 | + | 22.8328i | 1.21479 | + | 0.828232i | ||||
\(761\) | −10.0649 | − | 12.6210i | −0.364852 | − | 0.457510i | 0.565191 | − | 0.824960i | \(-0.308802\pi\) |
−0.930043 | + | 0.367450i | \(0.880231\pi\) | |||||||
\(762\) | −2.76795 | + | 1.51893i | −0.100272 | + | 0.0550249i | ||||
\(763\) | 0.528362 | + | 21.0129i | 0.0191280 | + | 0.760719i | ||||
\(764\) | −16.9930 | + | 21.3086i | −0.614786 | + | 0.770917i | ||||
\(765\) | −2.73480 | − | 14.9463i | −0.0988771 | − | 0.540383i | ||||
\(766\) | 3.78858 | − | 6.56201i | 0.136887 | − | 0.237095i | ||||
\(767\) | −14.2531 | + | 17.8728i | −0.514650 | + | 0.645351i | ||||
\(768\) | −3.20247 | + | 2.44205i | −0.115559 | + | 0.0881199i | ||||
\(769\) | −2.19783 | + | 29.3280i | −0.0792557 | + | 1.05759i | 0.805824 | + | 0.592155i | \(0.201723\pi\) |
−0.885080 | + | 0.465439i | \(0.845896\pi\) | |||||||
\(770\) | 14.6207 | + | 2.95251i | 0.526894 | + | 0.106401i | ||||
\(771\) | 43.2335 | + | 4.18559i | 1.55702 | + | 0.150740i | ||||
\(772\) | 11.2639 | + | 28.6998i | 0.405395 | + | 1.03293i | ||||
\(773\) | −25.0160 | + | 17.0556i | −0.899764 | + | 0.613449i | −0.922375 | − | 0.386295i | \(-0.873755\pi\) |
0.0226108 | + | 0.999744i | \(0.492802\pi\) | |||||||
\(774\) | −3.41011 | − | 6.54745i | −0.122574 | − | 0.235343i | ||||
\(775\) | 46.4422 | + | 31.6638i | 1.66825 | + | 1.13740i | ||||
\(776\) | 1.06141 | − | 0.984841i | 0.0381022 | − | 0.0353537i | ||||
\(777\) | −18.7216 | − | 2.75625i | −0.671633 | − | 0.0988800i | ||||
\(778\) | 5.12892 | + | 4.75894i | 0.183881 | + | 0.170616i | ||||
\(779\) | 0.845697 | + | 3.70524i | 0.0303002 | + | 0.132754i | ||||
\(780\) | 31.7514 | + | 19.2627i | 1.13688 | + | 0.689716i | ||||
\(781\) | 0.427733 | + | 1.87402i | 0.0153055 | + | 0.0670578i | ||||
\(782\) | 0.383611 | + | 5.11893i | 0.0137179 | + | 0.183053i | ||||
\(783\) | −21.8551 | + | 0.211157i | −0.781039 | + | 0.00754614i | ||||
\(784\) | −5.25993 | + | 15.6768i | −0.187855 | + | 0.559885i | ||||
\(785\) | −3.28948 | − | 5.69754i | −0.117406 | − | 0.203354i | ||||
\(786\) | −3.81538 | + | 5.34309i | −0.136090 | + | 0.190582i | ||||
\(787\) | −13.8022 | + | 12.8066i | −0.491996 | + | 0.456506i | −0.886729 | − | 0.462290i | \(-0.847028\pi\) |
0.394732 | + | 0.918796i | \(0.370837\pi\) | |||||||
\(788\) | 1.78990 | − | 4.56059i | 0.0637625 | − | 0.162464i | ||||
\(789\) | 12.5401 | + | 19.2794i | 0.446440 | + | 0.686365i | ||||
\(790\) | −13.0274 | + | 4.01843i | −0.463495 | + | 0.142969i | ||||
\(791\) | 5.24307 | + | 3.96977i | 0.186422 | + | 0.141149i | ||||
\(792\) | 13.3917 | + | 10.0087i | 0.475852 | + | 0.355644i | ||||
\(793\) | 25.1872 | + | 17.1724i | 0.894425 | + | 0.609808i | ||||
\(794\) | −1.71525 | + | 7.51501i | −0.0608720 | + | 0.266698i | ||||
\(795\) | −42.5139 | + | 59.5369i | −1.50781 | + | 2.11156i | ||||
\(796\) | 0.523383 | − | 0.656301i | 0.0185508 | − | 0.0232620i | ||||
\(797\) | 7.80923 | − | 5.32424i | 0.276617 | − | 0.188594i | −0.417063 | − | 0.908878i | \(-0.636941\pi\) |
0.693680 | + | 0.720283i | \(0.255988\pi\) | |||||||
\(798\) | −12.0167 | − | 5.73629i | −0.425386 | − | 0.203063i | ||||
\(799\) | −3.62175 | − | 2.46927i | −0.128128 | − | 0.0873563i | ||||
\(800\) | 45.6318 | − | 14.0756i | 1.61333 | − | 0.497646i | ||||
\(801\) | 15.4028 | − | 9.54926i | 0.544232 | − | 0.337406i | ||||
\(802\) | 0.974311 | − | 1.68756i | 0.0344041 | − | 0.0595897i | ||||
\(803\) | −16.2120 | + | 28.0800i | −0.572109 | + | 0.990921i | ||||
\(804\) | 28.2019 | + | 31.7500i | 0.994605 | + | 1.11973i | ||||
\(805\) | 22.5233 | + | 66.9914i | 0.793841 | + | 2.36114i | ||||
\(806\) | 10.8804 | − | 1.63995i | 0.383245 | − | 0.0577648i | ||||
\(807\) | 1.27967 | − | 0.702226i | 0.0450467 | − | 0.0247195i | ||||
\(808\) | 32.6916 | − | 15.7434i | 1.15009 | − | 0.553852i | ||||
\(809\) | 0.0914296 | − | 1.22004i | 0.00321449 | − | 0.0428944i | −0.995366 | − | 0.0961600i | \(-0.969344\pi\) |
0.998580 | + | 0.0532656i | \(0.0169630\pi\) | |||||||
\(810\) | −0.218141 | + | 18.1000i | −0.00766470 | + | 0.635968i | ||||
\(811\) | −31.4091 | − | 39.3857i | −1.10292 | − | 1.38302i | −0.916254 | − | 0.400598i | \(-0.868803\pi\) |
−0.186668 | − | 0.982423i | \(-0.559769\pi\) | |||||||
\(812\) | −8.70213 | − | 16.9655i | −0.305385 | − | 0.595373i | ||||
\(813\) | −7.92660 | + | 1.62898i | −0.277998 | + | 0.0571310i | ||||
\(814\) | −6.19730 | −0.217215 | ||||||||
\(815\) | 15.8570 | + | 27.4651i | 0.555445 | + | 0.962059i | ||||
\(816\) | 5.40353 | − | 1.11047i | 0.189161 | − | 0.0388743i | ||||
\(817\) | −18.2850 | − | 16.9660i | −0.639711 | − | 0.593565i | ||||
\(818\) | 9.55062 | − | 4.59933i | 0.333929 | − | 0.160812i | ||||
\(819\) | −24.4333 | − | 10.1088i | −0.853770 | − | 0.353229i | ||||
\(820\) | 4.06081 | + | 1.95558i | 0.141810 | + | 0.0682919i | ||||
\(821\) | −1.05029 | − | 2.67609i | −0.0366553 | − | 0.0933963i | 0.911374 | − | 0.411579i | \(-0.135023\pi\) |
−0.948029 | + | 0.318183i | \(0.896927\pi\) | |||||||
\(822\) | 7.77020 | − | 10.8815i | 0.271017 | − | 0.379534i | ||||
\(823\) | −29.4387 | + | 9.08063i | −1.02617 | + | 0.316531i | −0.761746 | − | 0.647876i | \(-0.775657\pi\) |
−0.264422 | + | 0.964407i | \(0.585181\pi\) | |||||||
\(824\) | 24.3365 | − | 11.7198i | 0.847801 | − | 0.408279i | ||||
\(825\) | −24.1200 | − | 37.0824i | −0.839749 | − | 1.29104i | ||||
\(826\) | −3.09774 | − | 9.21366i | −0.107784 | − | 0.320584i | ||||
\(827\) | −1.69949 | + | 7.44596i | −0.0590971 | + | 0.258922i | −0.995843 | − | 0.0910896i | \(-0.970965\pi\) |
0.936746 | + | 0.350011i | \(0.113822\pi\) | |||||||
\(828\) | −4.31125 | + | 36.2963i | −0.149826 | + | 1.26138i | ||||
\(829\) | 6.50961 | − | 0.981166i | 0.226088 | − | 0.0340773i | −0.0350210 | − | 0.999387i | \(-0.511150\pi\) |
0.261109 | + | 0.965309i | \(0.415912\pi\) | |||||||
\(830\) | −6.30110 | − | 27.6069i | −0.218714 | − | 0.958250i | ||||
\(831\) | −7.18670 | − | 0.695769i | −0.249304 | − | 0.0241360i | ||||
\(832\) | −3.19549 | + | 5.53474i | −0.110784 | + | 0.191883i | ||||
\(833\) | −6.58709 | + | 6.75898i | −0.228229 | + | 0.234185i | ||||
\(834\) | −11.1497 | − | 9.29473i | −0.386084 | − | 0.321850i | ||||
\(835\) | 20.3329 | − | 13.8628i | 0.703650 | − | 0.479740i | ||||
\(836\) | 24.9065 | + | 7.68264i | 0.861410 | + | 0.265710i | ||||
\(837\) | −20.2274 | − | 24.8676i | −0.699160 | − | 0.859551i | ||||
\(838\) | −4.32630 | + | 4.01422i | −0.149450 | + | 0.138669i | ||||
\(839\) | 6.22282 | − | 1.91949i | 0.214836 | − | 0.0662680i | −0.185469 | − | 0.982650i | \(-0.559380\pi\) |
0.400305 | + | 0.916382i | \(0.368904\pi\) | |||||||
\(840\) | −30.7844 | + | 14.9552i | −1.06216 | + | 0.516002i | ||||
\(841\) | −10.8053 | − | 3.33301i | −0.372598 | − | 0.114931i | ||||
\(842\) | 15.7283 | − | 7.57433i | 0.542032 | − | 0.261029i | ||||
\(843\) | −3.99516 | + | 3.04652i | −0.137601 | + | 0.104928i | ||||
\(844\) | −5.83792 | − | 2.81139i | −0.200949 | − | 0.0967722i | ||||
\(845\) | 7.06506 | + | 1.06489i | 0.243045 | + | 0.0366332i | ||||
\(846\) | 3.67020 | + | 3.71470i | 0.126184 | + | 0.127714i | ||||
\(847\) | −8.27368 | + | 0.829629i | −0.284287 | + | 0.0285064i | ||||
\(848\) | −21.9454 | − | 14.9621i | −0.753608 | − | 0.513801i | ||||
\(849\) | 42.5928 | − | 32.4792i | 1.46178 | − | 1.11468i | ||||
\(850\) | 6.50380 | + | 0.980290i | 0.223079 | + | 0.0336237i | ||||
\(851\) | −14.6824 | − | 25.4307i | −0.503307 | − | 0.871754i | ||||
\(852\) | −1.56314 | − | 1.30308i | −0.0535524 | − | 0.0446427i | ||||
\(853\) | 15.2574 | + | 2.29968i | 0.522403 | + | 0.0787395i | 0.404950 | − | 0.914339i | \(-0.367289\pi\) |
0.117453 | + | 0.993078i | \(0.462527\pi\) | |||||||
\(854\) | −11.9434 | + | 5.03746i | −0.408695 | + | 0.172378i | ||||
\(855\) | 19.8522 | + | 57.8501i | 0.678930 | + | 1.97843i | ||||
\(856\) | 4.18660 | − | 10.6673i | 0.143095 | − | 0.364600i | ||||
\(857\) | 36.5348 | − | 17.5943i | 1.24801 | − | 0.601008i | 0.311030 | − | 0.950400i | \(-0.399326\pi\) |
0.936977 | + | 0.349392i | \(0.113612\pi\) | |||||||
\(858\) | −8.39863 | − | 2.10978i | −0.286725 | − | 0.0720266i | ||||
\(859\) | −18.4341 | − | 23.1157i | −0.628965 | − | 0.788697i | 0.360610 | − | 0.932717i | \(-0.382569\pi\) |
−0.989575 | + | 0.144020i | \(0.953997\pi\) | |||||||
\(860\) | −29.2511 | + | 4.40889i | −0.997453 | + | 0.150342i | ||||
\(861\) | −3.06974 | − | 0.935383i | −0.104617 | − | 0.0318778i | ||||
\(862\) | −8.17707 | − | 1.23250i | −0.278512 | − | 0.0419789i | ||||
\(863\) | −16.9365 | − | 29.3349i | −0.576525 | − | 0.998571i | −0.995874 | − | 0.0907455i | \(-0.971075\pi\) |
0.419349 | − | 0.907825i | \(-0.362258\pi\) | |||||||
\(864\) | −27.2318 | + | 0.263105i | −0.926446 | + | 0.00895102i | ||||
\(865\) | 19.4267 | + | 49.4985i | 0.660529 | + | 1.68300i | ||||
\(866\) | −8.83632 | − | 8.19890i | −0.300270 | − | 0.278610i | ||||
\(867\) | −25.5039 | − | 6.40670i | −0.866158 | − | 0.217583i | ||||
\(868\) | 11.4963 | − | 25.4925i | 0.390211 | − | 0.865271i | ||||
\(869\) | −15.6988 | + | 10.7033i | −0.532546 | + | 0.363083i | ||||
\(870\) | 4.62195 | − | 13.9047i | 0.156699 | − | 0.471414i | ||||
\(871\) | −42.9511 | − | 20.6841i | −1.45534 | − | 0.700856i | ||||
\(872\) | −11.5786 | − | 10.7433i | −0.392100 | − | 0.363815i | ||||
\(873\) | 2.17255 | − | 0.231539i | 0.0735297 | − | 0.00783641i | ||||
\(874\) | −4.59792 | − | 20.1448i | −0.155527 | − | 0.681408i | ||||
\(875\) | 40.6593 | − | 4.07704i | 1.37454 | − | 0.137829i | ||||
\(876\) | −4.37804 | − | 34.0469i | −0.147920 | − | 1.15034i | ||||
\(877\) | 6.66328 | + | 29.1937i | 0.225003 | + | 0.985802i | 0.953651 | + | 0.300914i | \(0.0972917\pi\) |
−0.728648 | + | 0.684888i | \(0.759851\pi\) | |||||||
\(878\) | −1.93992 | + | 4.94283i | −0.0654691 | + | 0.166812i | ||||
\(879\) | 11.1604 | − | 0.593030i | 0.376431 | − | 0.0200024i | ||||
\(880\) | 20.5517 | − | 14.0119i | 0.692798 | − | 0.472342i | ||||
\(881\) | 54.8525 | 1.84803 | 0.924014 | − | 0.382357i | \(-0.124888\pi\) | ||||
0.924014 | + | 0.382357i | \(0.124888\pi\) | |||||||
\(882\) | 9.24615 | − | 6.39717i | 0.311334 | − | 0.215404i | ||||
\(883\) | −29.6805 | −0.998829 | −0.499414 | − | 0.866363i | \(-0.666451\pi\) | ||||
−0.499414 | + | 0.866363i | \(0.666451\pi\) | |||||||
\(884\) | −6.35842 | + | 4.33510i | −0.213857 | + | 0.145805i | ||||
\(885\) | −20.2410 | + | 39.7966i | −0.680393 | + | 1.33775i | ||||
\(886\) | −6.94060 | + | 17.6843i | −0.233174 | + | 0.594117i | ||||
\(887\) | 3.80484 | + | 16.6701i | 0.127754 | + | 0.559726i | 0.997773 | + | 0.0667075i | \(0.0212494\pi\) |
−0.870019 | + | 0.493019i | \(0.835893\pi\) | |||||||
\(888\) | 11.3074 | − | 8.62248i | 0.379452 | − | 0.289351i | ||||
\(889\) | −2.87068 | − | 8.53832i | −0.0962796 | − | 0.286366i | ||||
\(890\) | 2.70359 | + | 11.8452i | 0.0906246 | + | 0.397052i | ||||
\(891\) | 7.14490 | + | 24.1946i | 0.239363 | + | 0.810551i | ||||
\(892\) | 21.3030 | + | 19.7663i | 0.713277 | + | 0.661824i | ||||
\(893\) | 15.8971 | + | 7.65564i | 0.531976 | + | 0.256186i | ||||
\(894\) | 7.10253 | + | 7.99610i | 0.237544 | + | 0.267429i | ||||
\(895\) | −10.0899 | + | 6.87919i | −0.337269 | + | 0.229946i | ||||
\(896\) | −13.8974 | − | 27.0941i | −0.464278 | − | 0.905149i | ||||
\(897\) | −11.2403 | − | 39.4623i | −0.375301 | − | 1.31761i | ||||
\(898\) | −4.32147 | − | 4.00974i | −0.144209 | − | 0.133807i | ||||
\(899\) | 9.48002 | + | 24.1547i | 0.316176 | + | 0.805604i | ||||
\(900\) | 44.1111 | + | 15.7341i | 1.47037 | + | 0.524471i | ||||
\(901\) | −7.57985 | − | 13.1287i | −0.252521 | − | 0.437380i | ||||
\(902\) | −1.03922 | − | 0.156637i | −0.0346022 | − | 0.00521545i | ||||
\(903\) | 20.1048 | − | 6.27704i | 0.669047 | − | 0.208887i | ||||
\(904\) | −4.88659 | + | 0.736534i | −0.162525 | + | 0.0244968i | ||||
\(905\) | 54.5272 | + | 68.3750i | 1.81255 | + | 2.27286i | ||||
\(906\) | −4.88313 | − | 17.1437i | −0.162231 | − | 0.569562i | ||||
\(907\) | 50.9353 | − | 24.5292i | 1.69128 | − | 0.814477i | 0.695934 | − | 0.718106i | \(-0.254991\pi\) |
0.995345 | − | 0.0963710i | \(-0.0307235\pi\) | |||||||
\(908\) | −12.6947 | + | 32.3457i | −0.421290 | + | 1.07343i | ||||
\(909\) | 53.7354 | + | 10.5031i | 1.78229 | + | 0.348365i | ||||
\(910\) | 11.7270 | − | 13.2939i | 0.388748 | − | 0.440688i | ||||
\(911\) | −7.51274 | − | 1.13236i | −0.248908 | − | 0.0375169i | 0.0234031 | − | 0.999726i | \(-0.492550\pi\) |
−0.272311 | + | 0.962209i | \(0.587788\pi\) | |||||||
\(912\) | −20.8416 | + | 7.66180i | −0.690133 | + | 0.253708i | ||||
\(913\) | −19.7325 | − | 34.1777i | −0.653050 | − | 1.13112i | ||||
\(914\) | −17.0619 | − | 2.57167i | −0.564357 | − | 0.0850632i | ||||
\(915\) | 54.9376 | + | 22.9501i | 1.81618 | + | 0.758706i | ||||
\(916\) | 15.1806 | + | 10.3499i | 0.501580 | + | 0.341971i | ||||
\(917\) | −13.0819 | − | 13.4066i | −0.432001 | − | 0.442727i | ||||
\(918\) | −3.39503 | − | 1.59474i | −0.112053 | − | 0.0526343i | ||||
\(919\) | 19.6570 | + | 2.96282i | 0.648425 | + | 0.0977343i | 0.465016 | − | 0.885302i | \(-0.346049\pi\) |
0.183409 | + | 0.983037i | \(0.441287\pi\) | |||||||
\(920\) | −47.8498 | − | 23.0433i | −1.57756 | − | 0.759713i | ||||
\(921\) | −2.42100 | − | 18.8275i | −0.0797747 | − | 0.620387i | ||||
\(922\) | −8.59134 | + | 4.13737i | −0.282941 | + | 0.136257i | ||||
\(923\) | 2.18301 | + | 0.673370i | 0.0718547 | + | 0.0221642i | ||||
\(924\) | −16.0819 | + | 15.0247i | −0.529054 | + | 0.494275i | ||||
\(925\) | −35.9536 | + | 11.0902i | −1.18215 | + | 0.364644i | ||||
\(926\) | 10.0906 | − | 9.36273i | 0.331598 | − | 0.307678i | ||||
\(927\) | 40.0020 | + | 7.81875i | 1.31384 | + | 0.256801i | ||||
\(928\) | 21.0655 | + | 6.49784i | 0.691508 | + | 0.213302i | ||||
\(929\) | −16.8778 | + | 11.5071i | −0.553742 | + | 0.377535i | −0.807622 | − | 0.589701i | \(-0.799246\pi\) |
0.253880 | + | 0.967236i | \(0.418293\pi\) | |||||||
\(930\) | 20.1707 | − | 7.41517i | 0.661422 | − | 0.243153i | ||||
\(931\) | 22.1637 | − | 30.8547i | 0.726387 | − | 1.01122i | ||||
\(932\) | −6.65716 | + | 11.5305i | −0.218063 | + | 0.377695i | ||||
\(933\) | 10.2552 | + | 22.5340i | 0.335740 | + | 0.737730i | ||||
\(934\) | −0.743728 | − | 3.25848i | −0.0243355 | − | 0.106621i | ||||
\(935\) | 14.0384 | − | 2.11595i | 0.459104 | − | 0.0691988i | ||||
\(936\) | 18.2593 | − | 7.83582i | 0.596823 | − | 0.256122i | ||||
\(937\) | −0.687154 | + | 3.01062i | −0.0224483 | + | 0.0983526i | −0.984911 | − | 0.173061i | \(-0.944634\pi\) |
0.962463 | + | 0.271414i | \(0.0874912\pi\) | |||||||
\(938\) | 17.2947 | − | 10.5735i | 0.564692 | − | 0.345236i | ||||
\(939\) | −5.58889 | + | 0.296977i | −0.182387 | + | 0.00969146i | ||||
\(940\) | 18.8528 | − | 9.07905i | 0.614912 | − | 0.296126i | ||||
\(941\) | −10.9164 | + | 3.36725i | −0.355863 | + | 0.109769i | −0.467532 | − | 0.883976i | \(-0.654857\pi\) |
0.111669 | + | 0.993746i | \(0.464381\pi\) | |||||||
\(942\) | −1.61654 | − | 0.156502i | −0.0526696 | − | 0.00509913i | ||||
\(943\) | −1.81932 | − | 4.63555i | −0.0592452 | − | 0.150954i | ||||
\(944\) | −14.6047 | − | 7.03323i | −0.475341 | − | 0.228912i | ||||
\(945\) | −50.7182 | − | 9.73302i | −1.64986 | − | 0.316615i | ||||
\(946\) | 6.21458 | − | 2.99278i | 0.202053 | − | 0.0973037i | ||||
\(947\) | 4.41166 | + | 4.09342i | 0.143360 | + | 0.133018i | 0.748593 | − | 0.663030i | \(-0.230730\pi\) |
−0.605233 | + | 0.796048i | \(0.706920\pi\) | |||||||
\(948\) | 6.34512 | − | 19.0887i | 0.206080 | − | 0.619972i | ||||
\(949\) | 19.2675 | + | 33.3723i | 0.625451 | + | 1.08331i | ||||
\(950\) | −26.4753 | −0.858972 | ||||||||
\(951\) | 28.3936 | + | 31.9658i | 0.920726 | + | 1.03656i | ||||
\(952\) | −0.178270 | − | 7.08979i | −0.00577777 | − | 0.229782i | ||||
\(953\) | 26.7323 | + | 33.5213i | 0.865945 | + | 1.08586i | 0.995544 | + | 0.0942945i | \(0.0300595\pi\) |
−0.129599 | + | 0.991566i | \(0.541369\pi\) | |||||||
\(954\) | 5.86199 | + | 17.0821i | 0.189789 | + | 0.553053i | ||||
\(955\) | 4.46558 | − | 59.5891i | 0.144503 | − | 1.92826i | ||||
\(956\) | 26.5713 | − | 12.7960i | 0.859376 | − | 0.413854i | ||||
\(957\) | 0.443371 | − | 20.4166i | 0.0143322 | − | 0.659974i | ||||
\(958\) | 17.2988 | − | 2.60738i | 0.558899 | − | 0.0842405i | ||||
\(959\) | 26.6419 | + | 27.3033i | 0.860311 | + | 0.881669i | ||||
\(960\) | −3.93729 | + | 11.8450i | −0.127075 | + | 0.382294i | ||||
\(961\) | −3.52861 | + | 6.11174i | −0.113826 | + | 0.197153i | ||||
\(962\) | −3.68267 | + | 6.37856i | −0.118734 | + | 0.205653i | ||||
\(963\) | 14.6965 | − | 9.11137i | 0.473588 | − | 0.293610i | ||||
\(964\) | −14.5726 | + | 4.49506i | −0.469353 | + | 0.144776i | ||||
\(965\) | −55.8516 | − | 38.0790i | −1.79793 | − | 1.22581i | ||||
\(966\) | 16.6897 | + | 5.08553i | 0.536982 | + | 0.163624i | ||||
\(967\) | 28.8742 | − | 19.6861i | 0.928533 | − | 0.633063i | −0.00171348 | − | 0.999999i | \(-0.500545\pi\) |
0.930246 | + | 0.366936i | \(0.119593\pi\) | |||||||
\(968\) | 3.89581 | − | 4.88519i | 0.125216 | − | 0.157016i | ||||
\(969\) | −12.6149 | − | 1.22129i | −0.405248 | − | 0.0392334i | ||||
\(970\) | −0.325941 | + | 1.42804i | −0.0104653 | + | 0.0458516i | ||||
\(971\) | −40.1310 | − | 27.3609i | −1.28787 | − | 0.878052i | −0.290966 | − | 0.956733i | \(-0.593977\pi\) |
−0.996900 | + | 0.0786815i | \(0.974929\pi\) | |||||||
\(972\) | −21.5470 | − | 15.7818i | −0.691121 | − | 0.506200i | ||||
\(973\) | 31.7196 | − | 26.6271i | 1.01689 | − | 0.853625i | ||||
\(974\) | 1.12808 | − | 0.347966i | 0.0361460 | − | 0.0111496i | ||||
\(975\) | −52.5000 | + | 2.78969i | −1.68135 | + | 0.0893416i | ||||
\(976\) | −7.89722 | + | 20.1218i | −0.252784 | + | 0.644082i | ||||
\(977\) | −37.7361 | + | 35.0140i | −1.20728 | + | 1.12020i | −0.217734 | + | 0.976008i | \(0.569866\pi\) |
−0.989550 | + | 0.144188i | \(0.953943\pi\) | |||||||
\(978\) | 7.79253 | + | 0.754422i | 0.249178 | + | 0.0241238i | ||||
\(979\) | 8.46655 | + | 14.6645i | 0.270592 | + | 0.468679i | ||||
\(980\) | −12.2202 | − | 43.3646i | −0.390360 | − | 1.38523i | ||||
\(981\) | −4.28981 | − | 23.4447i | −0.136963 | − | 0.748532i | ||||
\(982\) | 0.117430 | + | 1.56700i | 0.00374736 | + | 0.0500050i | ||||
\(983\) | −7.39832 | − | 32.4142i | −0.235970 | − | 1.03385i | −0.944588 | − | 0.328259i | \(-0.893538\pi\) |
0.708618 | − | 0.705592i | \(-0.249319\pi\) | |||||||
\(984\) | 2.11406 | − | 1.16010i | 0.0673939 | − | 0.0369826i | ||||
\(985\) | 2.39024 | + | 10.4723i | 0.0761595 | + | 0.333677i | ||||
\(986\) | 2.22579 | + | 2.06523i | 0.0708835 | + | 0.0657702i | ||||
\(987\) | −12.2810 | + | 8.43482i | −0.390908 | + | 0.268483i | ||||
\(988\) | 22.7077 | − | 21.0697i | 0.722429 | − | 0.670316i | ||||
\(989\) | 27.0043 | + | 18.4112i | 0.858687 | + | 0.585443i | ||||
\(990\) | −16.8971 | − | 0.734227i | −0.537024 | − | 0.0233353i | ||||
\(991\) | −32.7374 | + | 22.3200i | −1.03994 | + | 0.709018i | −0.957751 | − | 0.287599i | \(-0.907143\pi\) |
−0.0821870 | + | 0.996617i | \(0.526190\pi\) | |||||||
\(992\) | 11.8122 | + | 30.0971i | 0.375039 | + | 0.955584i | ||||
\(993\) | 12.9578 | − | 18.1462i | 0.411203 | − | 0.575852i | ||||
\(994\) | −0.744008 | + | 0.624558i | −0.0235985 | + | 0.0198098i | ||||
\(995\) | −0.137539 | + | 1.83534i | −0.00436029 | + | 0.0581841i | ||||
\(996\) | 38.5527 | + | 16.1053i | 1.22159 | + | 0.510317i | ||||
\(997\) | 18.4277 | − | 23.1076i | 0.583610 | − | 0.731824i | −0.399114 | − | 0.916901i | \(-0.630682\pi\) |
0.982724 | + | 0.185077i | \(0.0592536\pi\) | |||||||
\(998\) | 5.89634 | − | 10.2128i | 0.186645 | − | 0.323279i | ||||
\(999\) | 21.4561 | − | 0.207302i | 0.678841 | − | 0.00655874i |
(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 | 441.2.z.a.130.32 | yes | 648 | |
9.7 | even | 3 | 441.2.y.a.277.23 | yes | 648 | ||
49.23 | even | 21 | 441.2.y.a.121.23 | ✓ | 648 | ||
441.268 | even | 21 | inner | 441.2.z.a.268.32 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.121.23 | ✓ | 648 | 49.23 | even | 21 | ||
441.2.y.a.277.23 | yes | 648 | 9.7 | even | 3 | ||
441.2.z.a.130.32 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.268.32 | yes | 648 | 441.268 | even | 21 | inner |