Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [680,2,Mod(43,680)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(680, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 4, 6, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("680.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 680 = 2^{3} \cdot 5 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 680.bw (of order \(8\), 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: | \(5.42982733745\) |
Analytic rank: | \(0\) |
Dimension: | \(416\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 427.17 | ||
Character | \(\chi\) | \(=\) | 680.427 |
Dual form | 680.2.bw.a.43.17 |
$q$-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 \(\left(\mathbb{Z}/680\mathbb{Z}\right)^\times\).
\(n\) | \(137\) | \(241\) | \(341\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{7}{8}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.21233 | + | 0.728189i | −0.857246 | + | 0.514908i | ||||
\(3\) | −0.0135844 | + | 0.0327956i | −0.00784294 | + | 0.0189345i | −0.927752 | − | 0.373196i | \(-0.878262\pi\) |
0.919910 | + | 0.392131i | \(0.128262\pi\) | |||||||
\(4\) | 0.939481 | − | 1.76561i | 0.469740 | − | 0.882805i | ||||
\(5\) | 0.252941 | + | 2.22172i | 0.113119 | + | 0.993581i | ||||
\(6\) | −0.00741267 | − | 0.0496510i | −0.00302621 | − | 0.0202699i | ||||
\(7\) | 2.00134 | + | 4.83165i | 0.756434 | + | 1.82619i | 0.518961 | + | 0.854798i | \(0.326319\pi\) |
0.237472 | + | 0.971394i | \(0.423681\pi\) | |||||||
\(8\) | 0.146738 | + | 2.82462i | 0.0518799 | + | 0.998653i | ||||
\(9\) | 2.12043 | + | 2.12043i | 0.706810 | + | 0.706810i | ||||
\(10\) | −1.92448 | − | 2.50926i | −0.608573 | − | 0.793498i | ||||
\(11\) | −3.58180 | − | 1.48363i | −1.07995 | − | 0.447331i | −0.229460 | − | 0.973318i | \(-0.573696\pi\) |
−0.850492 | + | 0.525987i | \(0.823696\pi\) | |||||||
\(12\) | 0.0451419 | + | 0.0547955i | 0.0130313 | + | 0.0158181i | ||||
\(13\) | −3.78984 | + | 3.78984i | −1.05111 | + | 1.05111i | −0.0524914 | + | 0.998621i | \(0.516716\pi\) |
−0.998621 | + | 0.0524914i | \(0.983284\pi\) | |||||||
\(14\) | −5.94463 | − | 4.40020i | −1.58877 | − | 1.17600i | ||||
\(15\) | −0.0762985 | − | 0.0218853i | −0.0197002 | − | 0.00565075i | ||||
\(16\) | −2.23475 | − | 3.31751i | −0.558688 | − | 0.829378i | ||||
\(17\) | 3.70777 | − | 1.80346i | 0.899265 | − | 0.437404i | ||||
\(18\) | −4.11473 | − | 1.02658i | −0.969851 | − | 0.241968i | ||||
\(19\) | 2.63383 | − | 2.63383i | 0.604241 | − | 0.604241i | −0.337194 | − | 0.941435i | \(-0.609478\pi\) |
0.941435 | + | 0.337194i | \(0.109478\pi\) | |||||||
\(20\) | 4.16032 | + | 1.64066i | 0.930275 | + | 0.366864i | ||||
\(21\) | −0.185644 | −0.0405108 | ||||||||
\(22\) | 5.42267 | − | 0.809580i | 1.15612 | − | 0.172603i | ||||
\(23\) | −1.31860 | − | 3.18338i | −0.274947 | − | 0.663782i | 0.724734 | − | 0.689029i | \(-0.241963\pi\) |
−0.999681 | + | 0.0252473i | \(0.991963\pi\) | |||||||
\(24\) | −0.0946283 | − | 0.0335583i | −0.0193159 | − | 0.00685006i | ||||
\(25\) | −4.87204 | + | 1.12393i | −0.974408 | + | 0.224786i | ||||
\(26\) | 1.83481 | − | 7.35425i | 0.359836 | − | 1.44229i | ||||
\(27\) | −0.196732 | + | 0.0814891i | −0.0378611 | + | 0.0156826i | ||||
\(28\) | 10.4110 | + | 1.00567i | 1.96750 | + | 0.190053i | ||||
\(29\) | −1.42107 | − | 3.43077i | −0.263886 | − | 0.637078i | 0.735286 | − | 0.677757i | \(-0.237048\pi\) |
−0.999172 | + | 0.0406793i | \(0.987048\pi\) | |||||||
\(30\) | 0.108435 | − | 0.0290276i | 0.0197975 | − | 0.00529970i | ||||
\(31\) | 0.729663 | + | 1.76156i | 0.131051 | + | 0.316386i | 0.975761 | − | 0.218839i | \(-0.0702269\pi\) |
−0.844710 | + | 0.535225i | \(0.820227\pi\) | |||||||
\(32\) | 5.12503 | + | 2.39459i | 0.905986 | + | 0.423308i | ||||
\(33\) | 0.0973129 | − | 0.0973129i | 0.0169400 | − | 0.0169400i | ||||
\(34\) | −3.18177 | + | 4.88634i | −0.545669 | + | 0.838001i | ||||
\(35\) | −10.2283 | + | 5.66852i | −1.72890 | + | 0.958155i | ||||
\(36\) | 5.73595 | − | 1.75175i | 0.955992 | − | 0.291958i | ||||
\(37\) | −0.575535 | + | 1.38946i | −0.0946173 | + | 0.228426i | −0.964101 | − | 0.265535i | \(-0.914452\pi\) |
0.869484 | + | 0.493961i | \(0.164452\pi\) | |||||||
\(38\) | −1.27514 | + | 5.11099i | −0.206855 | + | 0.829112i | ||||
\(39\) | −0.0728074 | − | 0.175773i | −0.0116585 | − | 0.0281462i | ||||
\(40\) | −6.23838 | + | 1.04047i | −0.986375 | + | 0.164513i | ||||
\(41\) | −0.414729 | + | 1.00125i | −0.0647698 | + | 0.156368i | −0.952950 | − | 0.303127i | \(-0.901970\pi\) |
0.888180 | + | 0.459495i | \(0.151970\pi\) | |||||||
\(42\) | 0.225061 | − | 0.135184i | 0.0347277 | − | 0.0208593i | ||||
\(43\) | − | 5.12864i | − | 0.782110i | −0.920367 | − | 0.391055i | \(-0.872110\pi\) | ||
0.920367 | − | 0.391055i | \(-0.127890\pi\) | |||||||
\(44\) | −5.98454 | + | 4.93021i | −0.902203 | + | 0.743257i | ||||
\(45\) | −4.17465 | + | 5.24734i | −0.622320 | + | 0.782227i | ||||
\(46\) | 3.91668 | + | 2.89912i | 0.577484 | + | 0.427451i | ||||
\(47\) | 0.519612 | + | 0.519612i | 0.0757932 | + | 0.0757932i | 0.743987 | − | 0.668194i | \(-0.232932\pi\) |
−0.668194 | + | 0.743987i | \(0.732932\pi\) | |||||||
\(48\) | 0.139157 | − | 0.0282237i | 0.0200856 | − | 0.00407373i | ||||
\(49\) | −14.3898 | + | 14.3898i | −2.05568 | + | 2.05568i | ||||
\(50\) | 5.08808 | − | 4.91034i | 0.719564 | − | 0.694427i | ||||
\(51\) | 0.00877787 | + | 0.146097i | 0.00122915 | + | 0.0204577i | ||||
\(52\) | 3.13090 | + | 10.2519i | 0.434177 | + | 1.42168i | ||||
\(53\) | − | 3.61147i | − | 0.496074i | −0.968751 | − | 0.248037i | \(-0.920215\pi\) | ||
0.968751 | − | 0.248037i | \(-0.0797854\pi\) | |||||||
\(54\) | 0.179164 | − | 0.242050i | 0.0243812 | − | 0.0329388i | ||||
\(55\) | 2.39022 | − | 8.33300i | 0.322297 | − | 1.12362i | ||||
\(56\) | −13.3539 | + | 6.36200i | −1.78449 | + | 0.850157i | ||||
\(57\) | 0.0505990 | + | 0.122157i | 0.00670200 | + | 0.0161801i | ||||
\(58\) | 4.22105 | + | 3.12441i | 0.554251 | + | 0.410255i | ||||
\(59\) | 0.780898 | + | 0.780898i | 0.101664 | + | 0.101664i | 0.756109 | − | 0.654445i | \(-0.227098\pi\) |
−0.654445 | + | 0.756109i | \(0.727098\pi\) | |||||||
\(60\) | −0.110322 | + | 0.114153i | −0.0142425 | + | 0.0147370i | ||||
\(61\) | 7.86852 | + | 3.25925i | 1.00746 | + | 0.417304i | 0.824528 | − | 0.565822i | \(-0.191441\pi\) |
0.182933 | + | 0.983125i | \(0.441441\pi\) | |||||||
\(62\) | −2.16734 | − | 1.60426i | −0.275253 | − | 0.203741i | ||||
\(63\) | −6.00148 | + | 14.4889i | −0.756116 | + | 1.82543i | ||||
\(64\) | −7.95694 | + | 0.828960i | −0.994617 | + | 0.103620i | ||||
\(65\) | −9.37856 | − | 7.46134i | −1.16327 | − | 0.925466i | ||||
\(66\) | −0.0471130 | + | 0.188837i | −0.00579921 | + | 0.0232443i | ||||
\(67\) | 5.89290 | + | 5.89290i | 0.719933 | + | 0.719933i | 0.968591 | − | 0.248658i | \(-0.0799896\pi\) |
−0.248658 | + | 0.968591i | \(0.579990\pi\) | |||||||
\(68\) | 0.299168 | − | 8.24078i | 0.0362794 | − | 0.999342i | ||||
\(69\) | 0.122313 | 0.0147248 | ||||||||
\(70\) | 8.27234 | − | 14.3203i | 0.988734 | − | 1.71160i | ||||
\(71\) | −5.69563 | − | 13.7505i | −0.675946 | − | 1.63188i | −0.771328 | − | 0.636438i | \(-0.780407\pi\) |
0.0953814 | − | 0.995441i | \(-0.469593\pi\) | |||||||
\(72\) | −5.67825 | + | 6.30055i | −0.669189 | + | 0.742527i | ||||
\(73\) | 9.04705 | + | 3.74741i | 1.05888 | + | 0.438601i | 0.843053 | − | 0.537831i | \(-0.180756\pi\) |
0.215824 | + | 0.976432i | \(0.430756\pi\) | |||||||
\(74\) | −0.314056 | − | 2.10359i | −0.0365082 | − | 0.244537i | ||||
\(75\) | 0.0293238 | − | 0.175049i | 0.00338602 | − | 0.0202129i | ||||
\(76\) | −2.17588 | − | 7.12474i | −0.249590 | − | 0.817264i | ||||
\(77\) | − | 20.2752i | − | 2.31058i | ||||||
\(78\) | 0.216262 | + | 0.160077i | 0.0244869 | + | 0.0181251i | ||||
\(79\) | −2.69275 | − | 1.11537i | −0.302958 | − | 0.125489i | 0.226025 | − | 0.974121i | \(-0.427427\pi\) |
−0.528984 | + | 0.848632i | \(0.677427\pi\) | |||||||
\(80\) | 6.80531 | − | 5.80412i | 0.760856 | − | 0.648920i | ||||
\(81\) | 8.98866i | 0.998740i | ||||||||
\(82\) | −0.226308 | − | 1.51584i | −0.0249915 | − | 0.167396i | ||||
\(83\) | −1.01502 | −0.111413 | −0.0557063 | − | 0.998447i | \(-0.517741\pi\) | ||||
−0.0557063 | + | 0.998447i | \(0.517741\pi\) | |||||||
\(84\) | −0.174409 | + | 0.327774i | −0.0190295 | + | 0.0357631i | ||||
\(85\) | 4.94462 | + | 7.78143i | 0.536320 | + | 0.844015i | ||||
\(86\) | 3.73462 | + | 6.21760i | 0.402715 | + | 0.670461i | ||||
\(87\) | 0.131818 | 0.0141324 | ||||||||
\(88\) | 3.66510 | − | 10.3349i | 0.390701 | − | 1.10171i | ||||
\(89\) | 13.0061 | 1.37864 | 0.689321 | − | 0.724456i | \(-0.257909\pi\) | ||||
0.689321 | + | 0.724456i | \(0.257909\pi\) | |||||||
\(90\) | 1.23999 | − | 9.40143i | 0.130706 | − | 0.990997i | ||||
\(91\) | −25.8959 | − | 10.7264i | −2.71463 | − | 1.12444i | ||||
\(92\) | −6.85941 | − | 0.662594i | −0.715143 | − | 0.0690802i | ||||
\(93\) | −0.0676834 | −0.00701845 | ||||||||
\(94\) | −1.00832 | − | 0.251565i | −0.104000 | − | 0.0259469i | ||||
\(95\) | 6.51782 | + | 5.18541i | 0.668714 | + | 0.532012i | ||||
\(96\) | −0.148152 | + | 0.135549i | −0.0151207 | + | 0.0138344i | ||||
\(97\) | −4.21813 | + | 10.1835i | −0.428287 | + | 1.03398i | 0.551544 | + | 0.834146i | \(0.314039\pi\) |
−0.979831 | + | 0.199830i | \(0.935961\pi\) | |||||||
\(98\) | 6.96664 | − | 27.9236i | 0.703737 | − | 2.82071i | ||||
\(99\) | −4.44902 | − | 10.7409i | −0.447143 | − | 1.07950i | ||||
\(100\) | −2.59277 | + | 9.65803i | −0.259277 | + | 0.965803i | ||||
\(101\) | 14.3933i | 1.43218i | 0.698007 | + | 0.716091i | \(0.254071\pi\) | ||||
−0.698007 | + | 0.716091i | \(0.745929\pi\) | |||||||
\(102\) | −0.117028 | − | 0.170726i | −0.0115875 | − | 0.0169044i | ||||
\(103\) | 5.94890 | + | 5.94890i | 0.586162 | + | 0.586162i | 0.936590 | − | 0.350428i | \(-0.113964\pi\) |
−0.350428 | + | 0.936590i | \(0.613964\pi\) | |||||||
\(104\) | −11.2610 | − | 10.1487i | −1.10423 | − | 0.995166i | ||||
\(105\) | −0.0469570 | − | 0.412447i | −0.00458253 | − | 0.0402507i | ||||
\(106\) | 2.62983 | + | 4.37829i | 0.255432 | + | 0.425257i | ||||
\(107\) | 0.852394 | − | 2.05786i | 0.0824040 | − | 0.198941i | −0.877307 | − | 0.479929i | \(-0.840662\pi\) |
0.959711 | + | 0.280988i | \(0.0906623\pi\) | |||||||
\(108\) | −0.0409481 | + | 0.423910i | −0.00394023 | + | 0.0407907i | ||||
\(109\) | −5.24541 | + | 12.6635i | −0.502419 | + | 1.21295i | 0.445743 | + | 0.895161i | \(0.352940\pi\) |
−0.948162 | + | 0.317787i | \(0.897060\pi\) | |||||||
\(110\) | 3.17028 | + | 11.8429i | 0.302274 | + | 1.12917i | ||||
\(111\) | −0.0377500 | − | 0.0377500i | −0.00358307 | − | 0.00358307i | ||||
\(112\) | 11.5566 | − | 17.4370i | 1.09199 | − | 1.64764i | ||||
\(113\) | −9.55454 | + | 3.95762i | −0.898815 | + | 0.372302i | −0.783765 | − | 0.621058i | \(-0.786703\pi\) |
−0.115051 | + | 0.993360i | \(0.536703\pi\) | |||||||
\(114\) | −0.150296 | − | 0.111248i | −0.0140765 | − | 0.0104194i | ||||
\(115\) | 6.73905 | − | 3.73477i | 0.628419 | − | 0.348269i | ||||
\(116\) | −7.39246 | − | 0.714085i | −0.686373 | − | 0.0663011i | ||||
\(117\) | −16.0722 | −1.48587 | ||||||||
\(118\) | −1.51535 | − | 0.378063i | −0.139499 | − | 0.0348036i | ||||
\(119\) | 16.1342 | + | 14.3053i | 1.47902 | + | 1.31136i | ||||
\(120\) | 0.0506216 | − | 0.218726i | 0.00462110 | − | 0.0199668i | ||||
\(121\) | 2.84993 | + | 2.84993i | 0.259085 | + | 0.259085i | ||||
\(122\) | −11.9126 | + | 1.77849i | −1.07851 | + | 0.161017i | ||||
\(123\) | −0.0272026 | − | 0.0272026i | −0.00245277 | − | 0.00245277i | ||||
\(124\) | 3.79573 | + | 0.366654i | 0.340867 | + | 0.0329265i | ||||
\(125\) | −3.72939 | − | 10.5400i | −0.333567 | − | 0.942727i | ||||
\(126\) | −3.27486 | − | 21.9355i | −0.291748 | − | 1.95417i | ||||
\(127\) | − | 4.40218i | − | 0.390630i | −0.980741 | − | 0.195315i | \(-0.937427\pi\) | ||
0.980741 | − | 0.195315i | \(-0.0625730\pi\) | |||||||
\(128\) | 9.04278 | − | 6.79913i | 0.799276 | − | 0.600964i | ||||
\(129\) | 0.168197 | + | 0.0696694i | 0.0148089 | + | 0.00613405i | ||||
\(130\) | 16.8032 | + | 2.21623i | 1.47373 | + | 0.194376i | ||||
\(131\) | −5.56650 | − | 13.4387i | −0.486347 | − | 1.17415i | −0.956545 | − | 0.291585i | \(-0.905817\pi\) |
0.470198 | − | 0.882561i | \(-0.344183\pi\) | |||||||
\(132\) | −0.0803930 | − | 0.263240i | −0.00699731 | − | 0.0229121i | ||||
\(133\) | 17.9969 | + | 7.45456i | 1.56053 | + | 0.646392i | ||||
\(134\) | −11.4353 | − | 2.85299i | −0.987858 | − | 0.246460i | ||||
\(135\) | −0.230807 | − | 0.416471i | −0.0198647 | − | 0.0358441i | ||||
\(136\) | 5.63816 | + | 10.2084i | 0.483468 | + | 0.875362i | ||||
\(137\) | 9.54788 | + | 9.54788i | 0.815731 | + | 0.815731i | 0.985486 | − | 0.169755i | \(-0.0542978\pi\) |
−0.169755 | + | 0.985486i | \(0.554298\pi\) | |||||||
\(138\) | −0.148284 | + | 0.0890672i | −0.0126228 | + | 0.00758191i | ||||
\(139\) | 3.09083 | + | 7.46193i | 0.262161 | + | 0.632912i | 0.999072 | − | 0.0430775i | \(-0.0137163\pi\) |
−0.736911 | + | 0.675990i | \(0.763716\pi\) | |||||||
\(140\) | 0.399072 | + | 23.3847i | 0.0337278 | + | 1.97637i | ||||
\(141\) | −0.0240996 | + | 0.00998237i | −0.00202955 | + | 0.000840667i | ||||
\(142\) | 16.9179 | + | 12.5226i | 1.41972 | + | 1.05087i | ||||
\(143\) | 19.1972 | − | 7.95172i | 1.60535 | − | 0.664956i | ||||
\(144\) | 2.29592 | − | 11.7732i | 0.191326 | − | 0.981099i | ||||
\(145\) | 7.26274 | − | 4.02500i | 0.603138 | − | 0.334258i | ||||
\(146\) | −13.6968 | + | 2.04487i | −1.13356 | + | 0.169235i | ||||
\(147\) | −0.276445 | − | 0.667396i | −0.0228008 | − | 0.0550459i | ||||
\(148\) | 1.91255 | + | 2.32154i | 0.157210 | + | 0.190830i | ||||
\(149\) | 10.2517i | 0.839851i | 0.907559 | + | 0.419925i | \(0.137944\pi\) | ||||
−0.907559 | + | 0.419925i | \(0.862056\pi\) | |||||||
\(150\) | 0.0919190 | + | 0.233570i | 0.00750515 | + | 0.0190709i | ||||
\(151\) | 17.1167 | − | 17.1167i | 1.39294 | − | 1.39294i | 0.574274 | − | 0.818663i | \(-0.305284\pi\) |
0.818663 | − | 0.574274i | \(-0.194716\pi\) | |||||||
\(152\) | 7.82604 | + | 7.05307i | 0.634776 | + | 0.572080i | ||||
\(153\) | 11.6862 | + | 4.03794i | 0.944771 | + | 0.326448i | ||||
\(154\) | 14.7642 | + | 24.5802i | 1.18973 | + | 1.98073i | ||||
\(155\) | −3.72913 | + | 2.06667i | −0.299531 | + | 0.165999i | ||||
\(156\) | −0.378747 | − | 0.0365856i | −0.0303240 | − | 0.00292919i | ||||
\(157\) | −0.0419974 | − | 0.0419974i | −0.00335176 | − | 0.00335176i | 0.705429 | − | 0.708781i | \(-0.250754\pi\) |
−0.708781 | + | 0.705429i | \(0.750754\pi\) | |||||||
\(158\) | 4.07670 | − | 0.608633i | 0.324325 | − | 0.0484202i | ||||
\(159\) | 0.118440 | + | 0.0490596i | 0.00939293 | + | 0.00389068i | ||||
\(160\) | −4.02377 | + | 11.9921i | −0.318107 | + | 0.948055i | ||||
\(161\) | 12.7420 | − | 12.7420i | 1.00421 | − | 1.00421i | ||||
\(162\) | −6.54545 | − | 10.8972i | −0.514259 | − | 0.856166i | ||||
\(163\) | 5.37295 | + | 12.9715i | 0.420842 | + | 1.01600i | 0.982100 | + | 0.188362i | \(0.0603177\pi\) |
−0.561257 | + | 0.827641i | \(0.689682\pi\) | |||||||
\(164\) | 1.37818 | + | 1.67290i | 0.107618 | + | 0.130632i | ||||
\(165\) | 0.240816 | + | 0.191587i | 0.0187475 | + | 0.0149150i | ||||
\(166\) | 1.23053 | − | 0.739124i | 0.0955080 | − | 0.0573672i | ||||
\(167\) | −1.86963 | + | 4.51368i | −0.144676 | + | 0.349279i | −0.979562 | − | 0.201145i | \(-0.935534\pi\) |
0.834885 | + | 0.550424i | \(0.185534\pi\) | |||||||
\(168\) | −0.0272411 | − | 0.524372i | −0.00210169 | − | 0.0404562i | ||||
\(169\) | − | 15.7258i | − | 1.20968i | ||||||
\(170\) | −11.6609 | − | 5.83303i | −0.894348 | − | 0.447373i | ||||
\(171\) | 11.1697 | 0.854167 | ||||||||
\(172\) | −9.05518 | − | 4.81826i | −0.690451 | − | 0.367389i | ||||
\(173\) | −11.4445 | − | 4.74045i | −0.870106 | − | 0.360410i | −0.0974547 | − | 0.995240i | \(-0.531070\pi\) |
−0.772652 | + | 0.634830i | \(0.781070\pi\) | |||||||
\(174\) | −0.159807 | + | 0.0959887i | −0.0121150 | + | 0.00727689i | ||||
\(175\) | −15.1810 | − | 21.2906i | −1.14758 | − | 1.60942i | ||||
\(176\) | 3.08247 | + | 15.1982i | 0.232350 | + | 1.14561i | ||||
\(177\) | −0.0362180 | + | 0.0150020i | −0.00272231 | + | 0.00112762i | ||||
\(178\) | −15.7676 | + | 9.47088i | −1.18183 | + | 0.709873i | ||||
\(179\) | 6.29582 | + | 6.29582i | 0.470572 | + | 0.470572i | 0.902100 | − | 0.431528i | \(-0.142025\pi\) |
−0.431528 | + | 0.902100i | \(0.642025\pi\) | |||||||
\(180\) | 5.34274 | + | 12.3006i | 0.398225 | + | 0.916830i | ||||
\(181\) | 7.76237 | − | 18.7400i | 0.576972 | − | 1.39293i | −0.318545 | − | 0.947908i | \(-0.603194\pi\) |
0.895517 | − | 0.445027i | \(-0.146806\pi\) | |||||||
\(182\) | 39.2053 | − | 5.85316i | 2.90609 | − | 0.433865i | ||||
\(183\) | −0.213778 | + | 0.213778i | −0.0158029 | + | 0.0158029i | ||||
\(184\) | 8.79836 | − | 4.19167i | 0.648623 | − | 0.309014i | ||||
\(185\) | −3.23257 | − | 0.927222i | −0.237663 | − | 0.0681707i | ||||
\(186\) | 0.0820546 | − | 0.0492863i | 0.00601653 | − | 0.00361385i | ||||
\(187\) | −15.9561 | + | 0.958682i | −1.16683 | + | 0.0701057i | ||||
\(188\) | 1.40560 | − | 0.429266i | 0.102514 | − | 0.0313075i | ||||
\(189\) | −0.787454 | − | 0.787454i | −0.0572788 | − | 0.0572788i | ||||
\(190\) | −11.6777 | − | 1.54022i | −0.847189 | − | 0.111739i | ||||
\(191\) | 13.1658 | 0.952647 | 0.476323 | − | 0.879270i | \(-0.341969\pi\) | ||||
0.476323 | + | 0.879270i | \(0.341969\pi\) | |||||||
\(192\) | 0.0809038 | − | 0.272213i | 0.00583873 | − | 0.0196453i | ||||
\(193\) | 10.7089 | − | 4.43576i | 0.770842 | − | 0.319293i | 0.0376285 | − | 0.999292i | \(-0.488020\pi\) |
0.733213 | + | 0.679999i | \(0.238020\pi\) | |||||||
\(194\) | −2.30173 | − | 15.4173i | −0.165255 | − | 1.10690i | ||||
\(195\) | 0.372101 | − | 0.206218i | 0.0266467 | − | 0.0147675i | ||||
\(196\) | 11.8878 | + | 38.9256i | 0.849128 | + | 2.78040i | ||||
\(197\) | −2.35271 | − | 5.67996i | −0.167624 | − | 0.404680i | 0.817638 | − | 0.575733i | \(-0.195283\pi\) |
−0.985262 | + | 0.171053i | \(0.945283\pi\) | |||||||
\(198\) | 13.2151 | + | 9.78174i | 0.939153 | + | 0.695158i | ||||
\(199\) | −5.62116 | − | 13.5707i | −0.398473 | − | 0.962000i | −0.988028 | − | 0.154272i | \(-0.950697\pi\) |
0.589555 | − | 0.807728i | \(-0.299303\pi\) | |||||||
\(200\) | −3.88958 | − | 13.5967i | −0.275035 | − | 0.961434i | ||||
\(201\) | −0.273313 | + | 0.113210i | −0.0192780 | + | 0.00798520i | ||||
\(202\) | −10.4810 | − | 17.4494i | −0.737441 | − | 1.22773i | ||||
\(203\) | 13.7322 | − | 13.7322i | 0.963814 | − | 0.963814i | ||||
\(204\) | 0.266197 | + | 0.121757i | 0.0186375 | + | 0.00852471i | ||||
\(205\) | −2.32938 | − | 0.668154i | −0.162691 | − | 0.0466659i | ||||
\(206\) | −11.5439 | − | 2.88009i | −0.804304 | − | 0.200666i | ||||
\(207\) | 3.95414 | − | 9.54614i | 0.274832 | − | 0.663503i | ||||
\(208\) | 21.0422 | + | 4.10349i | 1.45901 | + | 0.284526i | ||||
\(209\) | −13.3414 | + | 5.52621i | −0.922847 | + | 0.382256i | ||||
\(210\) | 0.357267 | + | 0.465828i | 0.0246538 | + | 0.0321452i | ||||
\(211\) | 6.15039 | − | 14.8484i | 0.423410 | − | 1.02220i | −0.557924 | − | 0.829892i | \(-0.688402\pi\) |
0.981334 | − | 0.192311i | \(-0.0615981\pi\) | |||||||
\(212\) | −6.37645 | − | 3.39291i | −0.437936 | − | 0.233026i | ||||
\(213\) | 0.528326 | 0.0362003 | ||||||||
\(214\) | 0.465131 | + | 3.11551i | 0.0317957 | + | 0.212972i | ||||
\(215\) | 11.3944 | − | 1.29725i | 0.777090 | − | 0.0884714i | ||||
\(216\) | −0.259044 | − | 0.543736i | −0.0176257 | − | 0.0369965i | ||||
\(217\) | −7.05095 | + | 7.05095i | −0.478650 | + | 0.478650i | ||||
\(218\) | −2.86230 | − | 19.1720i | −0.193859 | − | 1.29849i | ||||
\(219\) | −0.245797 | + | 0.245797i | −0.0166094 | + | 0.0166094i | ||||
\(220\) | −12.4673 | − | 12.0489i | −0.840543 | − | 0.812335i | ||||
\(221\) | −7.21701 | + | 20.8867i | −0.485469 | + | 1.40499i | ||||
\(222\) | 0.0732545 | + | 0.0182763i | 0.00491652 | + | 0.00122662i | ||||
\(223\) | 13.0756i | 0.875608i | 0.899070 | + | 0.437804i | \(0.144244\pi\) | ||||
−0.899070 | + | 0.437804i | \(0.855756\pi\) | |||||||
\(224\) | −1.31293 | + | 29.5547i | −0.0877237 | + | 1.97471i | ||||
\(225\) | −12.7140 | − | 7.94761i | −0.847602 | − | 0.529841i | ||||
\(226\) | 8.70134 | − | 11.7554i | 0.578805 | − | 0.781961i | ||||
\(227\) | −3.03485 | − | 7.32678i | −0.201430 | − | 0.486295i | 0.790594 | − | 0.612340i | \(-0.209772\pi\) |
−0.992025 | + | 0.126045i | \(0.959772\pi\) | |||||||
\(228\) | 0.263218 | + | 0.0254259i | 0.0174320 | + | 0.00168387i | ||||
\(229\) | −9.79726 | + | 9.79726i | −0.647421 | + | 0.647421i | −0.952369 | − | 0.304948i | \(-0.901361\pi\) |
0.304948 | + | 0.952369i | \(0.401361\pi\) | |||||||
\(230\) | −5.45032 | + | 9.43507i | −0.359384 | + | 0.622130i | ||||
\(231\) | 0.664938 | + | 0.275426i | 0.0437497 | + | 0.0181217i | ||||
\(232\) | 9.48208 | − | 4.51741i | 0.622529 | − | 0.296582i | ||||
\(233\) | 17.5019 | + | 7.24951i | 1.14659 | + | 0.474931i | 0.873387 | − | 0.487026i | \(-0.161918\pi\) |
0.273198 | + | 0.961958i | \(0.411918\pi\) | |||||||
\(234\) | 19.4848 | − | 11.7036i | 1.27376 | − | 0.765088i | ||||
\(235\) | −1.02300 | + | 1.28586i | −0.0667331 | + | 0.0838803i | ||||
\(236\) | 2.11240 | − | 0.645122i | 0.137506 | − | 0.0419939i | ||||
\(237\) | 0.0731587 | − | 0.0731587i | 0.00475217 | − | 0.00475217i | ||||
\(238\) | −29.9769 | − | 5.59399i | −1.94311 | − | 0.362604i | ||||
\(239\) | −2.74482 | −0.177548 | −0.0887739 | − | 0.996052i | \(-0.528295\pi\) | ||||
−0.0887739 | + | 0.996052i | \(0.528295\pi\) | |||||||
\(240\) | 0.0979036 | + | 0.302029i | 0.00631965 | + | 0.0194959i | ||||
\(241\) | −16.5587 | + | 6.85884i | −1.06664 | + | 0.441817i | −0.845804 | − | 0.533494i | \(-0.820879\pi\) |
−0.220836 | + | 0.975311i | \(0.570879\pi\) | |||||||
\(242\) | −5.53034 | − | 1.37976i | −0.355504 | − | 0.0886945i | ||||
\(243\) | −0.884985 | − | 0.366573i | −0.0567718 | − | 0.0235156i | ||||
\(244\) | 13.1469 | − | 10.8307i | 0.841643 | − | 0.693366i | ||||
\(245\) | −35.6097 | − | 28.3302i | −2.27502 | − | 1.80995i | ||||
\(246\) | 0.0527871 | + | 0.0131698i | 0.00336558 | + | 0.000839678i | ||||
\(247\) | 19.9636i | 1.27025i | ||||||||
\(248\) | −4.86867 | + | 2.31951i | −0.309161 | + | 0.147289i | ||||
\(249\) | 0.0137884 | − | 0.0332881i | 0.000873802 | − | 0.00210955i | ||||
\(250\) | 12.1964 | + | 10.0622i | 0.771366 | + | 0.636392i | ||||
\(251\) | 17.9374i | 1.13220i | 0.824337 | + | 0.566100i | \(0.191548\pi\) | ||||
−0.824337 | + | 0.566100i | \(0.808452\pi\) | |||||||
\(252\) | 19.9434 | + | 24.2083i | 1.25632 | + | 1.52498i | ||||
\(253\) | 13.3585i | 0.839845i | ||||||||
\(254\) | 3.20562 | + | 5.33689i | 0.201139 | + | 0.334866i | ||||
\(255\) | −0.322366 | + | 0.0564560i | −0.0201874 | + | 0.00353541i | ||||
\(256\) | −6.01177 | + | 14.8276i | −0.375736 | + | 0.926727i | ||||
\(257\) | 6.20655i | 0.387154i | 0.981085 | + | 0.193577i | \(0.0620090\pi\) | ||||
−0.981085 | + | 0.193577i | \(0.937991\pi\) | |||||||
\(258\) | −0.254642 | + | 0.0380169i | −0.0158533 | + | 0.00236683i | ||||
\(259\) | −7.86524 | −0.488722 | ||||||||
\(260\) | −21.9848 | + | 9.54908i | −1.36344 | + | 0.592209i | ||||
\(261\) | 4.26142 | − | 10.2880i | 0.263775 | − | 0.636810i | ||||
\(262\) | 16.5344 | + | 12.2387i | 1.02150 | + | 0.756108i | ||||
\(263\) | −27.0986 | −1.67097 | −0.835486 | − | 0.549512i | \(-0.814814\pi\) | ||||
−0.835486 | + | 0.549512i | \(0.814814\pi\) | |||||||
\(264\) | 0.289151 | + | 0.260592i | 0.0177960 | + | 0.0160383i | ||||
\(265\) | 8.02366 | − | 0.913490i | 0.492890 | − | 0.0561153i | ||||
\(266\) | −27.2465 | + | 4.06777i | −1.67059 | + | 0.249411i | ||||
\(267\) | −0.176679 | + | 0.426542i | −0.0108126 | + | 0.0261039i | ||||
\(268\) | 15.9408 | − | 4.86830i | 0.973742 | − | 0.297379i | ||||
\(269\) | 18.7038 | − | 7.74736i | 1.14039 | − | 0.472365i | 0.269089 | − | 0.963115i | \(-0.413277\pi\) |
0.871300 | + | 0.490751i | \(0.163277\pi\) | |||||||
\(270\) | 0.583084 | + | 0.336828i | 0.0354854 | + | 0.0204987i | ||||
\(271\) | − | 0.635539i | − | 0.0386063i | −0.999814 | − | 0.0193031i | \(-0.993855\pi\) | ||
0.999814 | − | 0.0193031i | \(-0.00614476\pi\) | |||||||
\(272\) | −14.2689 | − | 8.27027i | −0.865182 | − | 0.501459i | ||||
\(273\) | 0.703560 | − | 0.703560i | 0.0425814 | − | 0.0425814i | ||||
\(274\) | −18.5278 | − | 4.62251i | −1.11931 | − | 0.279256i | ||||
\(275\) | 19.1181 | + | 3.20262i | 1.15287 | + | 0.193125i | ||||
\(276\) | 0.114911 | − | 0.215958i | 0.00691683 | − | 0.0129991i | ||||
\(277\) | 9.96895 | + | 4.12927i | 0.598976 | + | 0.248104i | 0.661507 | − | 0.749939i | \(-0.269917\pi\) |
−0.0625309 | + | 0.998043i | \(0.519917\pi\) | |||||||
\(278\) | −9.18080 | − | 6.79560i | −0.550628 | − | 0.407573i | ||||
\(279\) | −2.18807 | + | 5.28246i | −0.130996 | + | 0.316253i | ||||
\(280\) | −17.5123 | − | 28.0593i | −1.04656 | − | 1.67687i | ||||
\(281\) | 16.0075 | − | 16.0075i | 0.954930 | − | 0.954930i | −0.0440975 | − | 0.999027i | \(-0.514041\pi\) |
0.999027 | + | 0.0440975i | \(0.0140412\pi\) | |||||||
\(282\) | 0.0219475 | − | 0.0296510i | 0.00130696 | − | 0.00176569i | ||||
\(283\) | 11.9723 | − | 4.95909i | 0.711680 | − | 0.294787i | 0.00268022 | − | 0.999996i | \(-0.499147\pi\) |
0.708999 | + | 0.705209i | \(0.249147\pi\) | |||||||
\(284\) | −29.6289 | − | 2.86204i | −1.75815 | − | 0.169831i | ||||
\(285\) | −0.258599 | + | 0.143315i | −0.0153181 | + | 0.00848925i | ||||
\(286\) | −17.4829 | + | 23.6193i | −1.03379 | + | 1.39664i | ||||
\(287\) | −5.66768 | −0.334553 | ||||||||
\(288\) | 5.78970 | + | 15.9448i | 0.341161 | + | 0.939558i | ||||
\(289\) | 10.4951 | − | 13.3736i | 0.617356 | − | 0.786684i | ||||
\(290\) | −5.87387 | + | 10.1683i | −0.344926 | + | 0.597102i | ||||
\(291\) | −0.276672 | − | 0.276672i | −0.0162188 | − | 0.0162188i | ||||
\(292\) | 15.1160 | − | 12.4529i | 0.884596 | − | 0.728753i | ||||
\(293\) | 6.63836 | − | 6.63836i | 0.387817 | − | 0.387817i | −0.486091 | − | 0.873908i | \(-0.661578\pi\) |
0.873908 | + | 0.486091i | \(0.161578\pi\) | |||||||
\(294\) | 0.821132 | + | 0.607799i | 0.0478894 | + | 0.0354476i | ||||
\(295\) | −1.53741 | + | 1.93246i | −0.0895116 | + | 0.112512i | ||||
\(296\) | −4.00916 | − | 1.42178i | −0.233028 | − | 0.0826392i | ||||
\(297\) | 0.825554 | 0.0479035 | ||||||||
\(298\) | −7.46517 | − | 12.4284i | −0.432445 | − | 0.719958i | ||||
\(299\) | 17.0618 | + | 7.06723i | 0.986710 | + | 0.408709i | ||||
\(300\) | −0.281519 | − | 0.216230i | −0.0162535 | − | 0.0124840i | ||||
\(301\) | 24.7798 | − | 10.2641i | 1.42828 | − | 0.591615i | ||||
\(302\) | −8.28687 | + | 33.2153i | −0.476856 | + | 1.91132i | ||||
\(303\) | −0.472035 | − | 0.195523i | −0.0271177 | − | 0.0112325i | ||||
\(304\) | −14.6237 | − | 2.85180i | −0.838727 | − | 0.163562i | ||||
\(305\) | −5.25085 | + | 18.3060i | −0.300663 | + | 1.04820i | ||||
\(306\) | −17.1079 | + | 3.61443i | −0.977991 | + | 0.206623i | ||||
\(307\) | −4.28651 | − | 4.28651i | −0.244644 | − | 0.244644i | 0.574124 | − | 0.818768i | \(-0.305343\pi\) |
−0.818768 | + | 0.574124i | \(0.805343\pi\) | |||||||
\(308\) | −35.7981 | − | 19.0482i | −2.03979 | − | 1.08537i | ||||
\(309\) | −0.275910 | + | 0.114285i | −0.0156959 | + | 0.00650147i | ||||
\(310\) | 3.01600 | − | 5.22100i | 0.171297 | − | 0.296533i | ||||
\(311\) | −9.49060 | + | 3.93114i | −0.538163 | + | 0.222914i | −0.635174 | − | 0.772369i | \(-0.719072\pi\) |
0.0970114 | + | 0.995283i | \(0.469072\pi\) | |||||||
\(312\) | 0.485807 | − | 0.231446i | 0.0275034 | − | 0.0131030i | ||||
\(313\) | −5.73853 | − | 13.8540i | −0.324361 | − | 0.783077i | −0.998991 | − | 0.0449203i | \(-0.985697\pi\) |
0.674630 | − | 0.738156i | \(-0.264303\pi\) | |||||||
\(314\) | 0.0814967 | + | 0.0203326i | 0.00459913 | + | 0.00114743i | ||||
\(315\) | −33.7082 | − | 9.66876i | −1.89924 | − | 0.544773i | ||||
\(316\) | −4.49910 | + | 3.70647i | −0.253094 | + | 0.208505i | ||||
\(317\) | −22.3713 | + | 9.26650i | −1.25650 | + | 0.520459i | −0.908833 | − | 0.417160i | \(-0.863025\pi\) |
−0.347665 | + | 0.937619i | \(0.613025\pi\) | |||||||
\(318\) | −0.179313 | + | 0.0267706i | −0.0100554 | + | 0.00150122i | ||||
\(319\) | 14.3967i | 0.806058i | ||||||||
\(320\) | −3.85435 | − | 17.4684i | −0.215465 | − | 0.976512i | ||||
\(321\) | 0.0559095 | + | 0.0559095i | 0.00312056 | + | 0.00312056i | ||||
\(322\) | −6.16892 | + | 24.7262i | −0.343780 | + | 1.37793i | ||||
\(323\) | 5.01561 | − | 14.5156i | 0.279076 | − | 0.807671i | ||||
\(324\) | 15.8705 | + | 8.44467i | 0.881692 | + | 0.469149i | ||||
\(325\) | 14.2048 | − | 22.7238i | 0.787938 | − | 1.26049i | ||||
\(326\) | −15.9595 | − | 11.8131i | −0.883913 | − | 0.654269i | ||||
\(327\) | −0.344053 | − | 0.344053i | −0.0190262 | − | 0.0190262i | ||||
\(328\) | −2.88899 | − | 1.02453i | −0.159518 | − | 0.0565703i | ||||
\(329\) | −1.47067 | + | 3.55050i | −0.0810804 | + | 0.195745i | ||||
\(330\) | −0.431460 | − | 0.0569069i | −0.0237511 | − | 0.00313262i | ||||
\(331\) | 13.4516 | − | 13.4516i | 0.739365 | − | 0.739365i | −0.233090 | − | 0.972455i | \(-0.574884\pi\) |
0.972455 | + | 0.233090i | \(0.0748837\pi\) | |||||||
\(332\) | −0.953589 | + | 1.79212i | −0.0523350 | + | 0.0983555i | ||||
\(333\) | −4.16664 | + | 1.72588i | −0.228331 | + | 0.0945776i | ||||
\(334\) | −1.02021 | − | 6.83350i | −0.0558234 | − | 0.373913i | ||||
\(335\) | −11.6018 | + | 14.5829i | −0.633874 | + | 0.796750i | ||||
\(336\) | 0.414867 | + | 0.615875i | 0.0226329 | + | 0.0335987i | ||||
\(337\) | −6.12728 | − | 2.53800i | −0.333774 | − | 0.138254i | 0.209501 | − | 0.977808i | \(-0.432816\pi\) |
−0.543275 | + | 0.839555i | \(0.682816\pi\) | |||||||
\(338\) | 11.4514 | + | 19.0648i | 0.622872 | + | 1.03699i | ||||
\(339\) | − | 0.367108i | − | 0.0199386i | ||||||
\(340\) | 18.3843 | − | 1.41977i | 0.997031 | − | 0.0769978i | ||||
\(341\) | − | 7.39210i | − | 0.400305i | ||||||
\(342\) | −13.5413 | + | 8.13365i | −0.732231 | + | 0.439817i | ||||
\(343\) | −64.5034 | − | 26.7182i | −3.48286 | − | 1.44265i | ||||
\(344\) | 14.4865 | − | 0.752569i | 0.781057 | − | 0.0405758i | ||||
\(345\) | 0.0309381 | + | 0.271745i | 0.00166565 | + | 0.0146303i | ||||
\(346\) | 17.3264 | − | 2.58675i | 0.931473 | − | 0.139065i | ||||
\(347\) | −26.4182 | + | 10.9428i | −1.41820 | + | 0.587438i | −0.954408 | − | 0.298505i | \(-0.903512\pi\) |
−0.463794 | + | 0.885943i | \(0.653512\pi\) | |||||||
\(348\) | 0.123841 | − | 0.232740i | 0.00663857 | − | 0.0124762i | ||||
\(349\) | 11.3173 | − | 11.3173i | 0.605801 | − | 0.605801i | −0.336045 | − | 0.941846i | \(-0.609089\pi\) |
0.941846 | + | 0.336045i | \(0.109089\pi\) | |||||||
\(350\) | 33.9080 | + | 14.7566i | 1.81246 | + | 0.788774i | ||||
\(351\) | 0.436753 | − | 1.05441i | 0.0233121 | − | 0.0562805i | ||||
\(352\) | −14.8041 | − | 16.1806i | −0.789062 | − | 0.862428i | ||||
\(353\) | 3.74286 | + | 3.74286i | 0.199213 | + | 0.199213i | 0.799662 | − | 0.600450i | \(-0.205012\pi\) |
−0.600450 | + | 0.799662i | \(0.705012\pi\) | |||||||
\(354\) | 0.0329839 | − | 0.0445609i | 0.00175307 | − | 0.00236839i | ||||
\(355\) | 29.1089 | − | 16.1321i | 1.54494 | − | 0.856204i | ||||
\(356\) | 12.2190 | − | 22.9636i | 0.647603 | − | 1.21707i | ||||
\(357\) | −0.688323 | + | 0.334801i | −0.0364299 | + | 0.0177196i | ||||
\(358\) | −12.2172 | − | 3.04805i | −0.645697 | − | 0.161095i | ||||
\(359\) | −10.8900 | − | 10.8900i | −0.574751 | − | 0.574751i | 0.358701 | − | 0.933452i | \(-0.383220\pi\) |
−0.933452 | + | 0.358701i | \(0.883220\pi\) | |||||||
\(360\) | −15.4343 | − | 11.0218i | −0.813459 | − | 0.580900i | ||||
\(361\) | 5.12591i | 0.269785i | ||||||||
\(362\) | 4.23574 | + | 28.3715i | 0.222625 | + | 1.49117i | ||||
\(363\) | −0.132180 | + | 0.0547506i | −0.00693763 | + | 0.00287366i | ||||
\(364\) | −43.2674 | + | 35.6448i | −2.26783 | + | 1.86830i | ||||
\(365\) | −6.03731 | + | 21.0478i | −0.316007 | + | 1.10169i | ||||
\(366\) | 0.103498 | − | 0.414840i | 0.00540994 | − | 0.0216840i | ||||
\(367\) | 8.57708 | + | 20.7069i | 0.447720 | + | 1.08089i | 0.973174 | + | 0.230070i | \(0.0738954\pi\) |
−0.525454 | + | 0.850822i | \(0.676105\pi\) | |||||||
\(368\) | −7.61417 | + | 11.4885i | −0.396916 | + | 0.598882i | ||||
\(369\) | −3.00247 | + | 1.24367i | −0.156303 | + | 0.0647426i | ||||
\(370\) | 4.59413 | − | 1.22983i | 0.238837 | − | 0.0639356i | ||||
\(371\) | 17.4494 | − | 7.22776i | 0.905926 | − | 0.375247i | ||||
\(372\) | −0.0635873 | + | 0.119502i | −0.00329685 | + | 0.00619592i | ||||
\(373\) | 11.4203 | + | 11.4203i | 0.591319 | + | 0.591319i | 0.937988 | − | 0.346669i | \(-0.112687\pi\) |
−0.346669 | + | 0.937988i | \(0.612687\pi\) | |||||||
\(374\) | 18.6460 | − | 12.7813i | 0.964160 | − | 0.660906i | ||||
\(375\) | 0.396327 | + | 0.0208719i | 0.0204662 | + | 0.00107782i | ||||
\(376\) | −1.39146 | + | 1.54395i | −0.0717590 | + | 0.0796233i | ||||
\(377\) | 18.3877 | + | 7.61643i | 0.947015 | + | 0.392266i | ||||
\(378\) | 1.52807 | + | 0.381237i | 0.0785954 | + | 0.0196087i | ||||
\(379\) | −14.5914 | + | 6.04396i | −0.749510 | + | 0.310457i | −0.724542 | − | 0.689231i | \(-0.757949\pi\) |
−0.0249686 | + | 0.999688i | \(0.507949\pi\) | |||||||
\(380\) | 15.2788 | − | 6.63633i | 0.783785 | − | 0.340436i | ||||
\(381\) | 0.144372 | + | 0.0598009i | 0.00739641 | + | 0.00306369i | ||||
\(382\) | −15.9613 | + | 9.58722i | −0.816652 | + | 0.490525i | ||||
\(383\) | 6.72506 | 0.343635 | 0.171817 | − | 0.985129i | \(-0.445036\pi\) | ||||
0.171817 | + | 0.985129i | \(0.445036\pi\) | |||||||
\(384\) | 0.100141 | + | 0.388925i | 0.00511029 | + | 0.0198473i | ||||
\(385\) | 45.0458 | − | 5.12844i | 2.29575 | − | 0.261370i | ||||
\(386\) | −9.75260 | + | 13.1757i | −0.496394 | + | 0.670625i | ||||
\(387\) | 10.8749 | − | 10.8749i | 0.552803 | − | 0.552803i | ||||
\(388\) | 14.0172 | + | 17.0148i | 0.711615 | + | 0.863794i | ||||
\(389\) | −5.32951 | − | 5.32951i | −0.270217 | − | 0.270217i | 0.558971 | − | 0.829187i | \(-0.311196\pi\) |
−0.829187 | + | 0.558971i | \(0.811196\pi\) | |||||||
\(390\) | −0.300943 | + | 0.520963i | −0.0152388 | + | 0.0263800i | ||||
\(391\) | −10.6302 | − | 9.42520i | −0.537591 | − | 0.476653i | ||||
\(392\) | −42.7571 | − | 38.5340i | −2.15956 | − | 1.94626i | ||||
\(393\) | 0.516348 | 0.0260463 | ||||||||
\(394\) | 6.98835 | + | 5.17275i | 0.352068 | + | 0.260599i | ||||
\(395\) | 1.79694 | − | 6.26465i | 0.0904137 | − | 0.315209i | ||||
\(396\) | −23.1439 | − | 2.23562i | −1.16303 | − | 0.112344i | ||||
\(397\) | 0.985424 | − | 0.408176i | 0.0494570 | − | 0.0204858i | −0.357818 | − | 0.933791i | \(-0.616479\pi\) |
0.407275 | + | 0.913306i | \(0.366479\pi\) | |||||||
\(398\) | 16.6967 | + | 12.3589i | 0.836931 | + | 0.619493i | ||||
\(399\) | −0.488953 | + | 0.488953i | −0.0244783 | + | 0.0244783i | ||||
\(400\) | 14.6164 | + | 13.6514i | 0.730822 | + | 0.682568i | ||||
\(401\) | −5.38206 | + | 12.9934i | −0.268767 | + | 0.648862i | −0.999426 | − | 0.0338813i | \(-0.989213\pi\) |
0.730658 | + | 0.682743i | \(0.239213\pi\) | |||||||
\(402\) | 0.248907 | − | 0.336271i | 0.0124143 | − | 0.0167717i | ||||
\(403\) | −9.44134 | − | 3.91073i | −0.470307 | − | 0.194807i | ||||
\(404\) | 25.4129 | + | 13.5222i | 1.26434 | + | 0.672754i | ||||
\(405\) | −19.9702 | + | 2.27360i | −0.992330 | + | 0.112976i | ||||
\(406\) | −6.64831 | + | 26.6476i | −0.329950 | + | 1.32250i | ||||
\(407\) | 4.12290 | − | 4.12290i | 0.204364 | − | 0.204364i | ||||
\(408\) | −0.411381 | + | 0.0462322i | −0.0203664 | + | 0.00228883i | ||||
\(409\) | − | 20.9865i | − | 1.03772i | −0.854860 | − | 0.518858i | \(-0.826357\pi\) | ||
0.854860 | − | 0.518858i | \(-0.173643\pi\) | |||||||
\(410\) | 3.31052 | − | 0.886210i | 0.163495 | − | 0.0437668i | ||||
\(411\) | −0.442830 | + | 0.183426i | −0.0218432 | + | 0.00904776i | ||||
\(412\) | 16.0923 | − | 4.91455i | 0.792811 | − | 0.242123i | ||||
\(413\) | −2.21019 | + | 5.33587i | −0.108756 | + | 0.262561i | ||||
\(414\) | 2.15768 | + | 14.4524i | 0.106044 | + | 0.710298i | ||||
\(415\) | −0.256740 | − | 2.25508i | −0.0126029 | − | 0.110697i | ||||
\(416\) | −28.4982 | + | 10.3479i | −1.39724 | + | 0.507349i | ||||
\(417\) | −0.286705 | −0.0140400 | ||||||||
\(418\) | 12.1501 | − | 16.4147i | 0.594280 | − | 0.802868i | ||||
\(419\) | −7.05984 | + | 17.0440i | −0.344896 | + | 0.832652i | 0.652310 | + | 0.757952i | \(0.273800\pi\) |
−0.997206 | + | 0.0747001i | \(0.976200\pi\) | |||||||
\(420\) | −0.772336 | − | 0.304579i | −0.0376861 | − | 0.0148619i | ||||
\(421\) | 21.0532 | 1.02607 | 0.513035 | − | 0.858368i | \(-0.328521\pi\) | ||||
0.513035 | + | 0.858368i | \(0.328521\pi\) | |||||||
\(422\) | 3.35612 | + | 22.4797i | 0.163373 | + | 1.09430i | ||||
\(423\) | 2.20360i | 0.107143i | ||||||||
\(424\) | 10.2010 | − | 0.529941i | 0.495406 | − | 0.0257362i | ||||
\(425\) | −16.0374 | + | 12.9538i | −0.777930 | + | 0.628351i | ||||
\(426\) | −0.640504 | + | 0.384721i | −0.0310325 | + | 0.0186398i | ||||
\(427\) | 44.5408i | 2.15548i | ||||||||
\(428\) | −2.83257 | − | 3.43831i | −0.136917 | − | 0.166197i | ||||
\(429\) | 0.737601i | 0.0356117i | ||||||||
\(430\) | −12.8691 | + | 9.86996i | −0.620603 | + | 0.475972i | ||||
\(431\) | −10.4544 | + | 25.2391i | −0.503570 | + | 1.21573i | 0.443957 | + | 0.896048i | \(0.353574\pi\) |
−0.947527 | + | 0.319677i | \(0.896426\pi\) | |||||||
\(432\) | 0.709989 | + | 0.470553i | 0.0341593 | + | 0.0226395i | ||||
\(433\) | − | 10.3594i | − | 0.497843i | −0.968524 | − | 0.248921i | \(-0.919924\pi\) | ||
0.968524 | − | 0.248921i | \(-0.0800760\pi\) | |||||||
\(434\) | 3.41364 | − | 13.6825i | 0.163860 | − | 0.656781i | ||||
\(435\) | 0.0333423 | + | 0.292863i | 0.00159864 | + | 0.0140417i | ||||
\(436\) | 17.4309 | + | 21.1585i | 0.834789 | + | 1.01331i | ||||
\(437\) | −11.8575 | − | 4.91152i | −0.567219 | − | 0.234950i | ||||
\(438\) | 0.119000 | − | 0.476973i | 0.00568604 | − | 0.0227907i | ||||
\(439\) | 16.5053 | − | 6.83673i | 0.787756 | − | 0.326299i | 0.0477150 | − | 0.998861i | \(-0.484806\pi\) |
0.740041 | + | 0.672562i | \(0.234806\pi\) | |||||||
\(440\) | 23.8883 | + | 5.52868i | 1.13883 | + | 0.263569i | ||||
\(441\) | −61.0249 | −2.90595 | ||||||||
\(442\) | −6.46006 | − | 30.5769i | −0.307274 | − | 1.45439i | ||||
\(443\) | −12.3296 | + | 12.3296i | −0.585796 | + | 0.585796i | −0.936490 | − | 0.350694i | \(-0.885946\pi\) |
0.350694 | + | 0.936490i | \(0.385946\pi\) | |||||||
\(444\) | −0.102117 | + | 0.0311863i | −0.00484627 | + | 0.00148004i | ||||
\(445\) | 3.28977 | + | 28.8958i | 0.155950 | + | 1.36979i | ||||
\(446\) | −9.52152 | − | 15.8519i | −0.450857 | − | 0.750611i | ||||
\(447\) | −0.336210 | − | 0.139263i | −0.0159022 | − | 0.00658690i | ||||
\(448\) | −19.9297 | − | 36.7861i | −0.941592 | − | 1.73798i | ||||
\(449\) | 9.69145 | + | 4.01433i | 0.457368 | + | 0.189448i | 0.599459 | − | 0.800406i | \(-0.295383\pi\) |
−0.142091 | + | 0.989854i | \(0.545383\pi\) | |||||||
\(450\) | 21.2009 | + | 0.376895i | 0.999422 | + | 0.0177670i | ||||
\(451\) | 2.97095 | − | 2.97095i | 0.139897 | − | 0.139897i | ||||
\(452\) | −1.98870 | + | 20.5877i | −0.0935404 | + | 0.968363i | ||||
\(453\) | 0.328832 | + | 0.793872i | 0.0154499 | + | 0.0372993i | ||||
\(454\) | 9.01451 | + | 6.67251i | 0.423072 | + | 0.313157i | ||||
\(455\) | 17.2810 | − | 60.2466i | 0.810144 | − | 2.82440i | ||||
\(456\) | −0.337621 | + | 0.160848i | −0.0158106 | + | 0.00753239i | ||||
\(457\) | − | 22.4971i | − | 1.05237i | −0.850371 | − | 0.526184i | \(-0.823622\pi\) | ||
0.850371 | − | 0.526184i | \(-0.176378\pi\) | |||||||
\(458\) | 4.74324 | − | 19.0118i | 0.221637 | − | 0.888361i | ||||
\(459\) | −0.582474 | + | 0.656941i | −0.0271876 | + | 0.0306634i | ||||
\(460\) | −0.262933 | − | 15.4073i | −0.0122593 | − | 0.718367i | ||||
\(461\) | 23.8882 | − | 23.8882i | 1.11259 | − | 1.11259i | 0.119787 | − | 0.992800i | \(-0.461779\pi\) |
0.992800 | − | 0.119787i | \(-0.0382211\pi\) | |||||||
\(462\) | −1.00669 | + | 0.150293i | −0.0468352 | + | 0.00699228i | ||||
\(463\) | −14.5492 | + | 14.5492i | −0.676157 | + | 0.676157i | −0.959128 | − | 0.282971i | \(-0.908680\pi\) |
0.282971 | + | 0.959128i | \(0.408680\pi\) | |||||||
\(464\) | −8.20587 | + | 12.3813i | −0.380948 | + | 0.574789i | ||||
\(465\) | −0.0171199 | − | 0.150373i | −0.000793918 | − | 0.00697340i | ||||
\(466\) | −26.4970 | + | 3.95588i | −1.22745 | + | 0.183253i | ||||
\(467\) | 26.8827 | 1.24398 | 0.621992 | − | 0.783024i | \(-0.286324\pi\) | ||||
0.621992 | + | 0.783024i | \(0.286324\pi\) | |||||||
\(468\) | −15.0995 | + | 28.3772i | −0.697975 | + | 1.31174i | ||||
\(469\) | −16.6788 | + | 40.2661i | −0.770154 | + | 1.85932i | ||||
\(470\) | 0.303860 | − | 2.30382i | 0.0140160 | − | 0.106267i | ||||
\(471\) | 0.00194784 | 0.000806821i | 8.97516e−5 | 3.71763e-5i | ||||||
\(472\) | −2.09115 | + | 2.32033i | −0.0962531 | + | 0.106802i | ||||
\(473\) | −7.60900 | + | 18.3697i | −0.349862 | + | 0.844642i | ||||
\(474\) | −0.0354190 | + | 0.141966i | −0.00162685 | + | 0.00652070i | ||||
\(475\) | −9.87188 | + | 15.7923i | −0.452953 | + | 0.724602i | ||||
\(476\) | 40.4153 | − | 15.0471i | 1.85243 | − | 0.689682i | ||||
\(477\) | 7.65787 | − | 7.65787i | 0.350630 | − | 0.350630i | ||||
\(478\) | 3.32763 | − | 1.99875i | 0.152202 | − | 0.0914207i | ||||
\(479\) | 26.2147 | − | 10.8585i | 1.19778 | − | 0.496138i | 0.307501 | − | 0.951548i | \(-0.400507\pi\) |
0.890282 | + | 0.455410i | \(0.150507\pi\) | |||||||
\(480\) | −0.338626 | − | 0.294866i | −0.0154561 | − | 0.0134587i | ||||
\(481\) | −3.08466 | − | 7.44703i | −0.140648 | − | 0.339556i | ||||
\(482\) | 15.0801 | − | 20.3730i | 0.686878 | − | 0.927967i | ||||
\(483\) | 0.244790 | + | 0.590975i | 0.0111383 | + | 0.0268903i | ||||
\(484\) | 7.70932 | − | 2.35441i | 0.350424 | − | 0.107019i | ||||
\(485\) | −23.6917 | − | 6.79567i | −1.07579 | − | 0.308576i | ||||
\(486\) | 1.33983 | − | 0.200030i | 0.0607758 | − | 0.00907354i | ||||
\(487\) | 8.57770 | − | 3.55300i | 0.388693 | − | 0.161002i | −0.179774 | − | 0.983708i | \(-0.557537\pi\) |
0.568467 | + | 0.822706i | \(0.307537\pi\) | |||||||
\(488\) | −8.05151 | + | 22.7038i | −0.364475 | + | 1.02775i | ||||
\(489\) | −0.498395 | −0.0225382 | ||||||||
\(490\) | 63.8004 | + | 8.41488i | 2.88221 | + | 0.380145i | ||||
\(491\) | 23.0290 | + | 23.0290i | 1.03929 | + | 1.03929i | 0.999196 | + | 0.0400892i | \(0.0127642\pi\) |
0.0400892 | + | 0.999196i | \(0.487236\pi\) | |||||||
\(492\) | −0.0735854 | + | 0.0224728i | −0.00331749 | + | 0.00101315i | ||||
\(493\) | −11.4563 | − | 10.1576i | −0.515964 | − | 0.457477i | ||||
\(494\) | −14.5373 | − | 24.2024i | −0.654062 | − | 1.08892i | ||||
\(495\) | 22.7378 | − | 12.6013i | 1.02199 | − | 0.566384i | ||||
\(496\) | 4.21339 | − | 6.35732i | 0.189187 | − | 0.285452i | ||||
\(497\) | 55.0385 | − | 55.0385i | 2.46882 | − | 2.46882i | ||||
\(498\) | 0.00752398 | + | 0.0503966i | 0.000337158 | + | 0.00225833i | ||||
\(499\) | −3.75111 | + | 9.05598i | −0.167923 | + | 0.405401i | −0.985330 | − | 0.170659i | \(-0.945410\pi\) |
0.817408 | + | 0.576060i | \(0.195410\pi\) | |||||||
\(500\) | −22.1132 | − | 3.31749i | −0.988933 | − | 0.148363i | ||||
\(501\) | −0.122631 | − | 0.122631i | −0.00547875 | − | 0.00547875i | ||||
\(502\) | −13.0618 | − | 21.7460i | −0.582978 | − | 0.970574i | ||||
\(503\) | 5.40706 | − | 2.23968i | 0.241089 | − | 0.0998624i | −0.258867 | − | 0.965913i | \(-0.583349\pi\) |
0.499957 | + | 0.866050i | \(0.333349\pi\) | |||||||
\(504\) | −41.8062 | − | 14.8258i | −1.86219 | − | 0.660395i | ||||
\(505\) | −31.9777 | + | 3.64065i | −1.42299 | + | 0.162007i | ||||
\(506\) | −9.72755 | − | 16.1949i | −0.432442 | − | 0.719953i | ||||
\(507\) | 0.515736 | + | 0.213625i | 0.0229047 | + | 0.00948742i | ||||
\(508\) | −7.77253 | − | 4.13577i | −0.344850 | − | 0.183495i | ||||
\(509\) | 16.3006 | 0.722510 | 0.361255 | − | 0.932467i | \(-0.382348\pi\) | ||||
0.361255 | + | 0.932467i | \(0.382348\pi\) | |||||||
\(510\) | 0.349703 | − | 0.303187i | 0.0154851 | − | 0.0134253i | ||||
\(511\) | 51.2120i | 2.26549i | ||||||||
\(512\) | −3.50908 | − | 22.3537i | −0.155081 | − | 0.987902i | ||||
\(513\) | −0.303530 | + | 0.732787i | −0.0134012 | + | 0.0323533i | ||||
\(514\) | −4.51955 | − | 7.52438i | −0.199349 | − | 0.331886i | ||||
\(515\) | −11.7120 | + | 14.7215i | −0.516094 | + | 0.648706i | ||||
\(516\) | 0.281027 | − | 0.231517i | 0.0123715 | − | 0.0101920i | ||||
\(517\) | −1.09023 | − | 2.63205i | −0.0479484 | − | 0.115758i | ||||
\(518\) | 9.53526 | − | 5.72739i | 0.418955 | − | 0.251647i | ||||
\(519\) | 0.310932 | − | 0.310932i | 0.0136484 | − | 0.0136484i | ||||
\(520\) | 19.6992 | − | 27.5857i | 0.863869 | − | 1.20971i | ||||
\(521\) | −1.82662 | − | 0.756612i | −0.0800258 | − | 0.0331478i | 0.342311 | − | 0.939587i | \(-0.388790\pi\) |
−0.422337 | + | 0.906439i | \(0.638790\pi\) | |||||||
\(522\) | 2.32536 | + | 15.5755i | 0.101778 | + | 0.681723i | ||||
\(523\) | −13.6333 | − | 13.6333i | −0.596144 | − | 0.596144i | 0.343140 | − | 0.939284i | \(-0.388510\pi\) |
−0.939284 | + | 0.343140i | \(0.888510\pi\) | |||||||
\(524\) | −28.9571 | − | 2.79715i | −1.26500 | − | 0.122194i | ||||
\(525\) | 0.904464 | − | 0.208650i | 0.0394740 | − | 0.00910623i | ||||
\(526\) | 32.8524 | − | 19.7329i | 1.43243 | − | 0.860396i | ||||
\(527\) | 5.88233 | + | 5.21554i | 0.256238 | + | 0.227192i | ||||
\(528\) | −0.540307 | − | 0.105367i | −0.0235138 | − | 0.00458549i | ||||
\(529\) | 7.86823 | − | 7.86823i | 0.342097 | − | 0.342097i | ||||
\(530\) | −9.06212 | + | 6.95020i | −0.393633 | + | 0.301897i | ||||
\(531\) | 3.31168i | 0.143715i | ||||||||
\(532\) | 30.0696 | − | 24.7721i | 1.30368 | − | 1.07401i | ||||
\(533\) | −2.22280 | − | 5.36632i | −0.0962802 | − | 0.232441i | ||||
\(534\) | −0.0964097 | − | 0.645765i | −0.00417205 | − | 0.0279450i | ||||
\(535\) | 4.78759 | + | 1.37326i | 0.206985 | + | 0.0593711i | ||||
\(536\) | −15.7805 | + | 17.5099i | −0.681613 | + | 0.756313i | ||||
\(537\) | −0.292000 | + | 0.120950i | −0.0126007 | + | 0.00521939i | ||||
\(538\) | −17.0336 | + | 23.0122i | −0.734370 | + | 0.992128i | ||||
\(539\) | 72.8902 | − | 30.1921i | 3.13960 | − | 1.30047i | ||||
\(540\) | −0.952164 | + | 0.0162492i | −0.0409746 | + | 0.000699254i | ||||
\(541\) | 2.62610 | + | 6.33997i | 0.112905 | + | 0.272576i | 0.970224 | − | 0.242208i | \(-0.0778718\pi\) |
−0.857319 | + | 0.514785i | \(0.827872\pi\) | |||||||
\(542\) | 0.462793 | + | 0.770482i | 0.0198787 | + | 0.0330950i | ||||
\(543\) | 0.509143 | + | 0.509143i | 0.0218494 | + | 0.0218494i | ||||
\(544\) | 23.3210 | − | 0.364205i | 0.999878 | − | 0.0156152i | ||||
\(545\) | −29.4616 | − | 8.45068i | −1.26200 | − | 0.361987i | ||||
\(546\) | −0.340621 | + | 1.36527i | −0.0145772 | + | 0.0584282i | ||||
\(547\) | −19.8449 | − | 8.22001i | −0.848505 | − | 0.351462i | −0.0843035 | − | 0.996440i | \(-0.526867\pi\) |
−0.764201 | + | 0.644978i | \(0.776867\pi\) | |||||||
\(548\) | 25.8279 | − | 7.88778i | 1.10331 | − | 0.336949i | ||||
\(549\) | 9.77363 | + | 23.5956i | 0.417129 | + | 1.00704i | ||||
\(550\) | −25.5096 | + | 10.0390i | −1.08773 | + | 0.428064i | ||||
\(551\) | −12.7789 | − | 5.29320i | −0.544400 | − | 0.225498i | ||||
\(552\) | 0.0179481 | + | 0.345488i | 0.000763920 | + | 0.0147050i | ||||
\(553\) | − | 15.2427i | − | 0.648184i | ||||||
\(554\) | −15.0925 | + | 2.25324i | −0.641220 | + | 0.0957312i | ||||
\(555\) | 0.0743212 | − | 0.0934183i | 0.00315476 | − | 0.00396539i | ||||
\(556\) | 16.0786 | + | 1.55314i | 0.681886 | + | 0.0658677i | ||||
\(557\) | 0.937247 | + | 0.937247i | 0.0397124 | + | 0.0397124i | 0.726684 | − | 0.686972i | \(-0.241060\pi\) |
−0.686972 | + | 0.726684i | \(0.741060\pi\) | |||||||
\(558\) | −1.19398 | − | 7.99741i | −0.0505450 | − | 0.338557i | ||||
\(559\) | 19.4367 | + | 19.4367i | 0.822086 | + | 0.822086i | ||||
\(560\) | 41.6632 | + | 21.2649i | 1.76059 | + | 0.898605i | ||||
\(561\) | 0.185313 | − | 0.536313i | 0.00782394 | − | 0.0226432i | ||||
\(562\) | −7.74988 | + | 31.0629i | −0.326909 | + | 1.31031i | ||||
\(563\) | 11.7967 | 0.497172 | 0.248586 | − | 0.968610i | \(-0.420034\pi\) | ||||
0.248586 | + | 0.968610i | \(0.420034\pi\) | |||||||
\(564\) | −0.00501612 | + | 0.0519287i | −0.000211217 | + | 0.00218659i | ||||
\(565\) | −11.2094 | − | 20.2264i | −0.471585 | − | 0.850932i | ||||
\(566\) | −10.9032 | + | 14.7302i | −0.458296 | + | 0.619154i | ||||
\(567\) | −43.4301 | + | 17.9893i | −1.82389 | + | 0.755481i | ||||
\(568\) | 38.0040 | − | 18.1057i | 1.59461 | − | 0.759698i | ||||
\(569\) | −1.96457 | − | 1.96457i | −0.0823591 | − | 0.0823591i | 0.664727 | − | 0.747086i | \(-0.268548\pi\) |
−0.747086 | + | 0.664727i | \(0.768548\pi\) | |||||||
\(570\) | 0.209146 | − | 0.362054i | 0.00876018 | − | 0.0151648i | ||||
\(571\) | −4.06255 | + | 9.80786i | −0.170012 | + | 0.410446i | −0.985804 | − | 0.167900i | \(-0.946302\pi\) |
0.815792 | + | 0.578346i | \(0.196302\pi\) | |||||||
\(572\) | 3.99572 | − | 41.3652i | 0.167070 | − | 1.72956i | ||||
\(573\) | −0.178850 | + | 0.431781i | −0.00747155 | + | 0.0180379i | ||||
\(574\) | 6.87109 | − | 4.12714i | 0.286794 | − | 0.172264i | ||||
\(575\) | 10.0022 | + | 14.0276i | 0.417119 | + | 0.584990i | ||||
\(576\) | −18.6299 | − | 15.1144i | −0.776245 | − | 0.629765i | ||||
\(577\) | −23.6219 | − | 23.6219i | −0.983392 | − | 0.983392i | 0.0164720 | − | 0.999864i | \(-0.494757\pi\) |
−0.999864 | + | 0.0164720i | \(0.994757\pi\) | |||||||
\(578\) | −2.98493 | + | 23.8556i | −0.124157 | + | 0.992263i | ||||
\(579\) | 0.411461i | 0.0170997i | ||||||||
\(580\) | −0.283366 | − | 16.6046i | −0.0117661 | − | 0.689467i | ||||
\(581\) | −2.03139 | − | 4.90421i | −0.0842762 | − | 0.203461i | ||||
\(582\) | 0.536888 | + | 0.133948i | 0.0222547 | + | 0.00555232i | ||||
\(583\) | −5.35808 | + | 12.9356i | −0.221909 | + | 0.535736i | ||||
\(584\) | −9.25745 | + | 26.1043i | −0.383076 | + | 1.08021i | ||||
\(585\) | −4.06532 | − | 35.7078i | −0.168080 | − | 1.47634i | ||||
\(586\) | −3.21389 | + | 12.8818i | −0.132765 | + | 0.532144i | ||||
\(587\) | 13.4282 | 0.554240 | 0.277120 | − | 0.960835i | \(-0.410620\pi\) | ||||
0.277120 | + | 0.960835i | \(0.410620\pi\) | |||||||
\(588\) | −1.43808 | − | 0.138913i | −0.0593052 | − | 0.00572867i | ||||
\(589\) | 6.56145 | + | 2.71784i | 0.270360 | + | 0.111987i | ||||
\(590\) | 0.456656 | − | 3.46230i | 0.0188002 | − | 0.142541i | ||||
\(591\) | 0.218238 | 0.00897710 | ||||||||
\(592\) | 5.89574 | − | 1.19576i | 0.242313 | − | 0.0491456i | ||||
\(593\) | −7.75557 | −0.318483 | −0.159242 | − | 0.987240i | \(-0.550905\pi\) | ||||
−0.159242 | + | 0.987240i | \(0.550905\pi\) | |||||||
\(594\) | −1.00084 | + | 0.601159i | −0.0410651 | + | 0.0246659i | ||||
\(595\) | −27.7013 | + | 39.4640i | −1.13564 | + | 1.61786i | ||||
\(596\) | 18.1005 | + | 9.63126i | 0.741424 | + | 0.394512i | ||||
\(597\) | 0.521418 | 0.0213402 | ||||||||
\(598\) | −25.8308 | + | 3.85642i | −1.05630 | + | 0.157701i | ||||
\(599\) | − | 11.7777i | − | 0.481224i | −0.970621 | − | 0.240612i | \(-0.922652\pi\) | ||
0.970621 | − | 0.240612i | \(-0.0773481\pi\) | |||||||
\(600\) | 0.498750 | + | 0.0571420i | 0.0203614 | + | 0.00233281i | ||||
\(601\) | −34.4961 | − | 14.2888i | −1.40713 | − | 0.582850i | −0.455535 | − | 0.890218i | \(-0.650552\pi\) |
−0.951591 | + | 0.307368i | \(0.900552\pi\) | |||||||
\(602\) | −22.5670 | + | 30.4879i | −0.919763 | + | 1.24259i | ||||
\(603\) | 24.9910i | 1.01771i | ||||||||
\(604\) | −14.1406 | − | 46.3022i | −0.575373 | − | 1.88401i | ||||
\(605\) | −5.61087 | + | 7.05260i | −0.228114 | + | 0.286729i | ||||
\(606\) | 0.714640 | − | 0.106692i | 0.0290302 | − | 0.00433408i | ||||
\(607\) | 6.12678 | + | 2.53779i | 0.248678 | + | 0.103006i | 0.503541 | − | 0.863971i | \(-0.332030\pi\) |
−0.254863 | + | 0.966977i | \(0.582030\pi\) | |||||||
\(608\) | 19.8054 | − | 7.19150i | 0.803214 | − | 0.291654i | ||||
\(609\) | 0.263813 | + | 0.636900i | 0.0106902 | + | 0.0258085i | ||||
\(610\) | −6.96449 | − | 26.0165i | −0.281984 | − | 1.05338i | ||||
\(611\) | −3.93849 | −0.159334 | ||||||||
\(612\) | 18.1084 | − | 16.8396i | 0.731987 | − | 0.680702i | ||||
\(613\) | 29.1967 | + | 29.1967i | 1.17924 | + | 1.17924i | 0.979937 | + | 0.199306i | \(0.0638687\pi\) |
0.199306 | + | 0.979937i | \(0.436131\pi\) | |||||||
\(614\) | 8.31805 | + | 2.07527i | 0.335689 | + | 0.0837510i | ||||
\(615\) | 0.0535557 | − | 0.0673171i | 0.00215958 | − | 0.00271449i | ||||
\(616\) | 57.2698 | − | 2.97515i | 2.30746 | − | 0.119872i | ||||
\(617\) | −5.25700 | + | 12.6915i | −0.211639 | + | 0.510942i | −0.993675 | − | 0.112291i | \(-0.964181\pi\) |
0.782036 | + | 0.623233i | \(0.214181\pi\) | |||||||
\(618\) | 0.251272 | − | 0.339466i | 0.0101076 | − | 0.0136553i | ||||
\(619\) | 13.9224 | + | 5.76687i | 0.559590 | + | 0.231790i | 0.644507 | − | 0.764598i | \(-0.277063\pi\) |
−0.0849170 | + | 0.996388i | \(0.527063\pi\) | |||||||
\(620\) | 0.145497 | + | 8.52578i | 0.00584330 | + | 0.342404i | ||||
\(621\) | 0.518822 | + | 0.518822i | 0.0208196 | + | 0.0208196i | ||||
\(622\) | 8.64312 | − | 11.6768i | 0.346557 | − | 0.468196i | ||||
\(623\) | 26.0295 | + | 62.8408i | 1.04285 | + | 2.51766i | ||||
\(624\) | −0.420421 | + | 0.634348i | −0.0168303 | + | 0.0253942i | ||||
\(625\) | 22.4736 | − | 10.9516i | 0.898943 | − | 0.438066i | ||||
\(626\) | 17.0453 | + | 12.6169i | 0.681269 | + | 0.504273i | ||||
\(627\) | − | 0.512611i | − | 0.0204717i | ||||||
\(628\) | −0.113607 | + | 0.0346953i | −0.00453340 | + | 0.00138449i | ||||
\(629\) | 0.371896 | + | 6.18976i | 0.0148284 | + | 0.246802i | ||||
\(630\) | 47.9060 | − | 12.8242i | 1.90862 | − | 0.510929i | ||||
\(631\) | 26.2239 | − | 26.2239i | 1.04396 | − | 1.04396i | 0.0449669 | − | 0.998988i | \(-0.485682\pi\) |
0.998988 | − | 0.0449669i | \(-0.0143182\pi\) | |||||||
\(632\) | 2.75538 | − | 7.76966i | 0.109603 | − | 0.309061i | ||||
\(633\) | 0.403411 | + | 0.403411i | 0.0160342 | + | 0.0160342i | ||||
\(634\) | 20.3736 | − | 27.5246i | 0.809140 | − | 1.09314i | ||||
\(635\) | 9.78040 | − | 1.11349i | 0.388123 | − | 0.0441877i | ||||
\(636\) | 0.197892 | − | 0.163029i | 0.00784694 | − | 0.00646451i | ||||
\(637\) | − | 109.070i | − | 4.32150i | ||||||
\(638\) | −10.4835 | − | 17.4535i | −0.415045 | − | 0.690989i | ||||
\(639\) | 17.0797 | − | 41.2340i | 0.675662 | − | 1.63119i | ||||
\(640\) | 17.3930 | + | 18.3707i | 0.687519 | + | 0.726166i | ||||
\(641\) | −4.18843 | − | 10.1118i | −0.165433 | − | 0.399390i | 0.819323 | − | 0.573332i | \(-0.194350\pi\) |
−0.984756 | + | 0.173942i | \(0.944350\pi\) | |||||||
\(642\) | −0.108493 | − | 0.0270680i | −0.00428189 | − | 0.00106829i | ||||
\(643\) | −18.7882 | + | 45.3588i | −0.740936 | + | 1.78878i | −0.138902 | + | 0.990306i | \(0.544357\pi\) |
−0.602033 | + | 0.798471i | \(0.705643\pi\) | |||||||
\(644\) | −10.5266 | − | 34.4684i | −0.414805 | − | 1.35824i | ||||
\(645\) | −0.112242 | + | 0.391308i | −0.00441951 | + | 0.0154077i | ||||
\(646\) | 4.48955 | + | 21.2500i | 0.176639 | + | 0.836070i | ||||
\(647\) | −4.24686 | + | 4.24686i | −0.166961 | + | 0.166961i | −0.785642 | − | 0.618681i | \(-0.787667\pi\) |
0.618681 | + | 0.785642i | \(0.287667\pi\) | |||||||
\(648\) | −25.3895 | + | 1.31898i | −0.997395 | + | 0.0518145i | ||||
\(649\) | −1.63846 | − | 3.95558i | −0.0643150 | − | 0.155270i | ||||
\(650\) | −0.673624 | + | 37.8924i | −0.0264217 | + | 1.48626i | ||||
\(651\) | −0.135457 | − | 0.327023i | −0.00530899 | − | 0.0128170i | ||||
\(652\) | 27.9503 | + | 2.69990i | 1.09462 | + | 0.105736i | ||||
\(653\) | −6.04118 | + | 2.50234i | −0.236410 | + | 0.0979241i | −0.497743 | − | 0.867324i | \(-0.665838\pi\) |
0.261333 | + | 0.965249i | \(0.415838\pi\) | |||||||
\(654\) | 0.667640 | + | 0.166569i | 0.0261068 | + | 0.00651338i | ||||
\(655\) | 28.4490 | − | 15.7664i | 1.11159 | − | 0.616044i | ||||
\(656\) | 4.24846 | − | 0.861665i | 0.165874 | − | 0.0336424i | ||||
\(657\) | 11.2375 | + | 27.1297i | 0.438417 | + | 1.05843i | ||||
\(658\) | −0.802507 | − | 5.37530i | −0.0312850 | − | 0.209551i | ||||
\(659\) | −41.3713 | −1.61160 | −0.805798 | − | 0.592190i | \(-0.798263\pi\) | ||||
−0.805798 | + | 0.592190i | \(0.798263\pi\) | |||||||
\(660\) | 0.564510 | − | 0.245195i | 0.0219735 | − | 0.00954419i | ||||
\(661\) | −2.07225 | + | 2.07225i | −0.0806012 | + | 0.0806012i | −0.746258 | − | 0.665657i | \(-0.768151\pi\) |
0.665657 | + | 0.746258i | \(0.268151\pi\) | |||||||
\(662\) | −6.51243 | + | 26.1030i | −0.253113 | + | 1.01452i | ||||
\(663\) | −0.586952 | − | 0.520419i | −0.0227953 | − | 0.0202114i | ||||
\(664\) | −0.148942 | − | 2.86704i | −0.00578007 | − | 0.111263i | ||||
\(665\) | −12.0098 | + | 41.8696i | −0.465718 | + | 1.62363i | ||||
\(666\) | 3.79457 | − | 5.12644i | 0.147037 | − | 0.198645i | ||||
\(667\) | −9.04763 | + | 9.04763i | −0.350326 | + | 0.350326i | ||||
\(668\) | 6.21291 | + | 7.54154i | 0.240385 | + | 0.291791i | ||||
\(669\) | −0.428822 | − | 0.177624i | −0.0165792 | − | 0.00686734i | ||||
\(670\) | 3.44607 | − | 26.1276i | 0.133133 | − | 1.00940i | ||||
\(671\) | −23.3479 | − | 23.3479i | −0.901336 | − | 0.901336i | ||||
\(672\) | −0.951429 | − | 0.444541i | −0.0367022 | − | 0.0171485i | ||||
\(673\) | 2.91543 | + | 7.03847i | 0.112382 | + | 0.271313i | 0.970057 | − | 0.242879i | \(-0.0780918\pi\) |
−0.857675 | + | 0.514192i | \(0.828092\pi\) | |||||||
\(674\) | 9.27642 | − | 1.38493i | 0.357314 | − | 0.0533454i | ||||
\(675\) | 0.866899 | − | 0.618131i | 0.0333670 | − | 0.0237919i | ||||
\(676\) | −27.7656 | − | 14.7741i | −1.06791 | − | 0.568234i | ||||
\(677\) | −4.35675 | + | 10.5181i | −0.167443 | + | 0.404244i | −0.985220 | − | 0.171291i | \(-0.945206\pi\) |
0.817777 | + | 0.575535i | \(0.195206\pi\) | |||||||
\(678\) | 0.267324 | + | 0.445056i | 0.0102665 | + | 0.0170923i | ||||
\(679\) | −57.6449 | −2.21221 | ||||||||
\(680\) | −21.2540 | + | 15.1085i | −0.815054 | + | 0.579385i | ||||
\(681\) | 0.281512 | 0.0107876 | ||||||||
\(682\) | 5.38285 | + | 8.96165i | 0.206120 | + | 0.343159i | ||||
\(683\) | 15.2828 | − | 36.8960i | 0.584781 | − | 1.41179i | −0.303654 | − | 0.952782i | \(-0.598207\pi\) |
0.888435 | − | 0.459003i | \(-0.151793\pi\) | |||||||
\(684\) | 10.4937 | − | 19.7213i | 0.401237 | − | 0.754063i | ||||
\(685\) | −18.7976 | + | 23.6277i | −0.718220 | + | 0.902770i | ||||
\(686\) | 97.6552 | − | 14.5795i | 3.72849 | − | 0.556647i | ||||
\(687\) | −0.188217 | − | 0.454396i | −0.00718093 | − | 0.0173363i | ||||
\(688\) | −17.0143 | + | 11.4612i | −0.648665 | + | 0.436956i | ||||
\(689\) | 13.6869 | + | 13.6869i | 0.521429 | + | 0.521429i | ||||
\(690\) | −0.235389 | − | 0.306916i | −0.00896111 | − | 0.0116841i | ||||
\(691\) | 34.5643 | + | 14.3170i | 1.31489 | + | 0.544645i | 0.926307 | − | 0.376770i | \(-0.122965\pi\) |
0.388581 | + | 0.921414i | \(0.372965\pi\) | |||||||
\(692\) | −19.1216 | + | 15.7529i | −0.726896 | + | 0.598835i | ||||
\(693\) | 42.9922 | − | 42.9922i | 1.63314 | − | 1.63314i | ||||
\(694\) | 24.0591 | − | 32.5037i | 0.913271 | − | 1.23382i | ||||
\(695\) | −15.7965 | + | 8.75438i | −0.599195 | + | 0.332073i | ||||
\(696\) | 0.0193428 | + | 0.372337i | 0.000733188 | + | 0.0141134i | ||||
\(697\) | 0.267987 | + | 4.46033i | 0.0101507 | + | 0.168947i | ||||
\(698\) | −5.47915 | + | 21.9614i | −0.207389 | + | 0.831252i | ||||
\(699\) | −0.475504 | + | 0.475504i | −0.0179852 | + | 0.0179852i | ||||
\(700\) | −51.8532 | + | 6.80159i | −1.95987 | + | 0.257076i | ||||
\(701\) | 50.4617 | 1.90591 | 0.952956 | − | 0.303109i | \(-0.0980247\pi\) | ||||
0.952956 | + | 0.303109i | \(0.0980247\pi\) | |||||||
\(702\) | 0.238325 | + | 1.59634i | 0.00899502 | + | 0.0602498i | ||||
\(703\) | 2.14375 | + | 5.17547i | 0.0808530 | + | 0.195196i | ||||
\(704\) | 29.7300 | + | 8.83597i | 1.12049 | + | 0.333018i | ||||
\(705\) | −0.0282738 | − | 0.0510175i | −0.00106485 | − | 0.00192143i | ||||
\(706\) | −7.26309 | − | 1.81207i | −0.273350 | − | 0.0681980i | ||||
\(707\) | −69.5432 | + | 28.8057i | −2.61544 | + | 1.08335i | ||||
\(708\) | −0.00753847 | + | 0.0780410i | −0.000283313 | + | 0.00293296i | ||||
\(709\) | −12.3012 | − | 29.6977i | −0.461980 | − | 1.11532i | −0.967583 | − | 0.252553i | \(-0.918730\pi\) |
0.505603 | − | 0.862766i | \(-0.331270\pi\) | |||||||
\(710\) | −23.5424 | + | 40.7543i | −0.883529 | + | 1.52948i | ||||
\(711\) | −3.34472 | − | 8.07486i | −0.125437 | − | 0.302831i | ||||
\(712\) | 1.90849 | + | 36.7372i | 0.0715237 | + | 1.37678i | ||||
\(713\) | 4.64559 | − | 4.64559i | 0.173979 | − | 0.173979i | ||||
\(714\) | 0.590675 | − | 0.907118i | 0.0221055 | − | 0.0339481i | ||||
\(715\) | 22.5222 | + | 40.6393i | 0.842283 | + | 1.51982i | ||||
\(716\) | 17.0308 | − | 5.20116i | 0.636469 | − | 0.194376i | ||||
\(717\) | 0.0372867 | − | 0.0900181i | 0.00139250 | − | 0.00336179i | ||||
\(718\) | 21.1322 | + | 5.27227i | 0.788647 | + | 0.196759i | ||||
\(719\) | 1.17672 | + | 2.84086i | 0.0438843 | + | 0.105946i | 0.944302 | − | 0.329081i | \(-0.106739\pi\) |
−0.900417 | + | 0.435027i | \(0.856739\pi\) | |||||||
\(720\) | 26.7374 | + | 2.12295i | 0.996444 | + | 0.0791176i | ||||
\(721\) | −16.8373 | + | 40.6487i | −0.627052 | + | 1.51384i | ||||
\(722\) | −3.73263 | − | 6.21429i | −0.138914 | − | 0.231272i | ||||
\(723\) | − | 0.636226i | − | 0.0236615i | ||||||
\(724\) | −25.7949 | − | 31.3112i | −0.958662 | − | 1.16367i | ||||
\(725\) | 10.7795 | + | 15.1177i | 0.400339 | + | 0.561456i | ||||
\(726\) | 0.120376 | − | 0.162628i | 0.00446759 | − | 0.00603567i | ||||
\(727\) | 25.3538 | + | 25.3538i | 0.940319 | + | 0.940319i | 0.998317 | − | 0.0579975i | \(-0.0184715\pi\) |
−0.0579975 | + | 0.998317i | \(0.518472\pi\) | |||||||
\(728\) | 26.4982 | − | 74.7201i | 0.982088 | − | 2.76931i | ||||
\(729\) | −19.0438 | + | 19.0438i | −0.705325 | + | 0.705325i | ||||
\(730\) | −8.00761 | − | 29.9132i | −0.296375 | − | 1.10714i | ||||
\(731\) | −9.24930 | − | 19.0158i | −0.342098 | − | 0.703325i | ||||
\(732\) | 0.176608 | + | 0.578288i | 0.00652762 | + | 0.0213741i | ||||
\(733\) | − | 29.3446i | − | 1.08387i | −0.840421 | − | 0.541934i | \(-0.817692\pi\) | ||
0.840421 | − | 0.541934i | \(-0.182308\pi\) | |||||||
\(734\) | −25.4768 | − | 18.8578i | −0.940365 | − | 0.696055i | ||||
\(735\) | 1.41284 | − | 0.782993i | 0.0521134 | − | 0.0288811i | ||||
\(736\) | 0.865037 | − | 19.4725i | 0.0318857 | − | 0.717764i | ||||
\(737\) | −12.3643 | − | 29.8501i | −0.455445 | − | 1.09954i | ||||
\(738\) | 2.73436 | − | 3.69410i | 0.100653 | − | 0.135982i | ||||
\(739\) | 31.7089 | + | 31.7089i | 1.16643 | + | 1.16643i | 0.983040 | + | 0.183389i | \(0.0587069\pi\) |
0.183389 | + | 0.983040i | \(0.441293\pi\) | |||||||
\(740\) | −4.67405 | + | 4.83635i | −0.171821 | + | 0.177788i | ||||
\(741\) | −0.654717 | − | 0.271193i | −0.0240516 | − | 0.00996251i | ||||
\(742\) | −15.8912 | + | 21.4689i | −0.583384 | + | 0.788147i | ||||
\(743\) | 11.3071 | − | 27.2977i | 0.414817 | − | 1.00146i | −0.569010 | − | 0.822331i | \(-0.692673\pi\) |
0.983826 | − | 0.179125i | \(-0.0573267\pi\) | |||||||
\(744\) | −0.00993176 | − | 0.191180i | −0.000364116 | − | 0.00700899i | ||||
\(745\) | −22.7763 | + | 2.59307i | −0.834460 | + | 0.0950029i | ||||
\(746\) | −22.1612 | − | 5.52900i | −0.811380 | − | 0.202431i | ||||
\(747\) | −2.15227 | − | 2.15227i | −0.0787475 | − | 0.0787475i | ||||
\(748\) | −13.2978 | + | 29.0729i | −0.486216 | + | 1.06301i | ||||
\(749\) | 11.6488 | 0.425637 | ||||||||
\(750\) | −0.495677 | + | 0.263297i | −0.0180996 | + | 0.00961426i | ||||
\(751\) | 10.8333 | + | 26.1540i | 0.395314 | + | 0.954372i | 0.988762 | + | 0.149500i | \(0.0477663\pi\) |
−0.593448 | + | 0.804872i | \(0.702234\pi\) | |||||||
\(752\) | 0.562615 | − | 2.88502i | 0.0205165 | − | 0.105206i | ||||
\(753\) | −0.588268 | − | 0.243669i | −0.0214377 | − | 0.00887978i | ||||
\(754\) | −27.8381 | + | 4.15610i | −1.01381 | + | 0.151356i | ||||
\(755\) | 42.3580 | + | 33.6989i | 1.54156 | + | 1.22643i | ||||
\(756\) | −2.13013 | + | 0.650538i | −0.0774722 | + | 0.0236598i | ||||
\(757\) | 25.4847i | 0.926259i | 0.886291 | + | 0.463129i | \(0.153274\pi\) | ||||
−0.886291 | + | 0.463129i | \(0.846726\pi\) | |||||||
\(758\) | 13.2884 | − | 17.9526i | 0.482658 | − | 0.652067i | ||||
\(759\) | −0.438101 | − | 0.181467i | −0.0159021 | − | 0.00658685i | ||||
\(760\) | −13.6904 | + | 19.1712i | −0.496603 | + | 0.695414i | ||||
\(761\) | − | 31.1534i | − | 1.12931i | −0.825328 | − | 0.564654i | \(-0.809010\pi\) | ||
0.825328 | − | 0.564654i | \(-0.190990\pi\) | |||||||
\(762\) | −0.218573 | + | 0.0326319i | −0.00791806 | + | 0.00118213i | ||||
\(763\) | −71.6837 | −2.59512 | ||||||||
\(764\) | 12.3691 | − | 23.2457i | 0.447497 | − | 0.841001i | ||||
\(765\) | −6.01525 | + | 26.9847i | −0.217482 | + | 0.975634i | ||||
\(766\) | −8.15298 | + | 4.89712i | −0.294579 | + | 0.176940i | ||||
\(767\) | −5.91896 | −0.213721 | ||||||||
\(768\) | −0.404615 | − | 0.398584i | −0.0146003 | − | 0.0143826i | ||||
\(769\) | −12.3580 | −0.445641 | −0.222820 | − | 0.974859i | \(-0.571526\pi\) | ||||
−0.222820 | + | 0.974859i | \(0.571526\pi\) | |||||||
\(770\) | −50.8758 | + | 39.0192i | −1.83344 | + | 1.40615i | ||||
\(771\) | −0.203548 | − | 0.0843121i | −0.00733059 | − | 0.00303643i | ||||
\(772\) | 2.22896 | − | 23.0750i | 0.0802221 | − | 0.830488i | ||||
\(773\) | 15.7696 | 0.567193 | 0.283596 | − | 0.958944i | \(-0.408472\pi\) | ||||
0.283596 | + | 0.958944i | \(0.408472\pi\) | |||||||
\(774\) | −5.26498 | + | 21.1030i | −0.189246 | + | 0.758531i | ||||
\(775\) | −5.53481 | − | 7.76231i | −0.198816 | − | 0.278830i | ||||
\(776\) | −29.3834 | − | 10.4203i | −1.05480 | − | 0.374067i | ||||
\(777\) | 0.106844 | − | 0.257945i | 0.00383302 | − | 0.00925373i | ||||
\(778\) | 10.3420 | + | 2.58022i | 0.370779 | + | 0.0925055i | ||||
\(779\) | 1.54478 | + | 3.72943i | 0.0553475 | + | 0.133621i | ||||
\(780\) | −0.0145180 | − | 0.850722i | −0.000519829 | − | 0.0304607i | ||||
\(781\) | 57.7015i | 2.06472i | ||||||||
\(782\) | 19.7506 | + | 3.68566i | 0.706280 | + | 0.131799i | ||||
\(783\) | 0.559141 | + | 0.559141i | 0.0199821 | + | 0.0199821i | ||||
\(784\) | 79.8957 | + | 15.5806i | 2.85342 | + | 0.556452i | ||||
\(785\) | 0.0826834 | − | 0.103929i | 0.00295110 | − | 0.00370939i | ||||
\(786\) | −0.625983 | + | 0.375999i | −0.0223281 | + | 0.0134114i | ||||
\(787\) | −3.42342 | + | 8.26486i | −0.122032 | + | 0.294610i | −0.973076 | − | 0.230483i | \(-0.925970\pi\) |
0.851045 | + | 0.525093i | \(0.175970\pi\) | |||||||
\(788\) | −12.2389 | − | 1.18223i | −0.435993 | − | 0.0421154i | ||||
\(789\) | 0.368118 | − | 0.888715i | 0.0131053 | − | 0.0316391i | ||||
\(790\) | 2.38338 | + | 8.90333i | 0.0847967 | + | 0.316766i | ||||
\(791\) | −38.2437 | − | 38.2437i | −1.35979 | − | 1.35979i | ||||
\(792\) | 29.6860 | − | 14.1429i | 1.05485 | − | 0.502545i | ||||
\(793\) | −42.1725 | + | 17.4684i | −1.49759 | + | 0.620321i | ||||
\(794\) | −0.897428 | + | 1.21242i | −0.0318485 | + | 0.0430271i | ||||
\(795\) | −0.0790380 | + | 0.275550i | −0.00280319 | + | 0.00977275i | ||||
\(796\) | −29.2415 | − | 2.82462i | −1.03644 | − | 0.100116i | ||||
\(797\) | −6.71767 | −0.237952 | −0.118976 | − | 0.992897i | \(-0.537961\pi\) | ||||
−0.118976 | + | 0.992897i | \(0.537961\pi\) | |||||||
\(798\) | 0.236721 | − | 0.948822i | 0.00837985 | − | 0.0335880i | ||||
\(799\) | 2.86370 | + | 0.989500i | 0.101310 | + | 0.0350060i | ||||
\(800\) | −27.6607 | − | 5.90639i | −0.977954 | − | 0.208822i | ||||
\(801\) | 27.5785 | + | 27.5785i | 0.974437 | + | 0.974437i | ||||
\(802\) | −2.93686 | − | 19.6715i | −0.103704 | − | 0.694624i | ||||
\(803\) | −26.8449 | − | 26.8449i | −0.947336 | − | 0.947336i | ||||
\(804\) | −0.0568877 | + | 0.588922i | −0.00200627 | + | 0.0207697i | ||||
\(805\) | 31.5322 | + | 25.0862i | 1.11136 | + | 0.884172i | ||||
\(806\) | 14.2938 | − | 2.13399i | 0.503476 | − | 0.0751667i | ||||
\(807\) | 0.718644i | 0.0252975i | ||||||||
\(808\) | −40.6554 | + | 2.11204i | −1.43025 | + | 0.0743014i | ||||
\(809\) | −8.57280 | − | 3.55097i | −0.301404 | − | 0.124845i | 0.226856 | − | 0.973928i | \(-0.427155\pi\) |
−0.528260 | + | 0.849083i | \(0.677155\pi\) | |||||||
\(810\) | 22.5549 | − | 17.2985i | 0.792498 | − | 0.607806i | ||||
\(811\) | −19.1005 | − | 46.1128i | −0.670711 | − | 1.61924i | −0.780406 | − | 0.625274i | \(-0.784987\pi\) |
0.109695 | − | 0.993965i | \(-0.465013\pi\) | |||||||
\(812\) | −11.3446 | − | 37.1469i | −0.398117 | − | 1.30360i | ||||
\(813\) | 0.0208429 | + | 0.00863340i | 0.000730991 | + | 0.000302787i | ||||
\(814\) | −1.99606 | + | 8.00055i | −0.0699617 | + | 0.280419i | ||||
\(815\) | −27.4598 | + | 15.2182i | −0.961877 | + | 0.533070i | ||||
\(816\) | 0.465063 | − | 0.355612i | 0.0162805 | − | 0.0124489i | ||||
\(817\) | −13.5080 | − | 13.5080i | −0.472583 | − | 0.472583i | ||||
\(818\) | 15.2822 | + | 25.4426i | 0.534328 | + | 0.889578i | ||||
\(819\) | −32.1658 | − | 77.6552i | −1.12396 | − | 2.71349i | ||||
\(820\) | −3.36811 | + | 3.48506i | −0.117620 | + | 0.121704i | ||||
\(821\) | 18.9882 | − | 7.86518i | 0.662693 | − | 0.274497i | −0.0258780 | − | 0.999665i | \(-0.508238\pi\) |
0.688571 | + | 0.725168i | \(0.258238\pi\) | |||||||
\(822\) | 0.403287 | − | 0.544837i | 0.0140662 | − | 0.0190034i | ||||
\(823\) | 6.14343 | − | 2.54469i | 0.214147 | − | 0.0887024i | −0.273031 | − | 0.962005i | \(-0.588026\pi\) |
0.487178 | + | 0.873303i | \(0.338026\pi\) | |||||||
\(824\) | −15.9304 | + | 17.6763i | −0.554963 | + | 0.615783i | ||||
\(825\) | −0.364740 | + | 0.583485i | −0.0126986 | + | 0.0203143i | ||||
\(826\) | −1.20605 | − | 8.07826i | −0.0419637 | − | 0.281079i | ||||
\(827\) | −16.5670 | − | 39.9962i | −0.576090 | − | 1.39080i | −0.896296 | − | 0.443456i | \(-0.853752\pi\) |
0.320207 | − | 0.947348i | \(-0.396248\pi\) | |||||||
\(828\) | −13.1399 | − | 15.9499i | −0.456644 | − | 0.554297i | ||||
\(829\) | − | 29.5524i | − | 1.02640i | −0.858270 | − | 0.513198i | \(-0.828461\pi\) | ||
0.858270 | − | 0.513198i | \(-0.171539\pi\) | |||||||
\(830\) | 1.95338 | + | 2.54694i | 0.0678027 | + | 0.0884056i | ||||
\(831\) | −0.270844 | + | 0.270844i | −0.00939547 | + | 0.00939547i | ||||
\(832\) | 27.0139 | − | 33.2971i | 0.936538 | − | 1.15437i | ||||
\(833\) | −27.4025 | + | 79.3052i | −0.949440 | + | 2.74776i | ||||
\(834\) | 0.347581 | − | 0.208776i | 0.0120357 | − | 0.00722931i | ||||
\(835\) | −10.5010 | − | 3.01208i | −0.363403 | − | 0.104237i | ||||
\(836\) | −2.77691 | + | 28.7476i | −0.0960414 | + | 0.994255i | ||||
\(837\) | −0.287096 | − | 0.287096i | −0.00992350 | − | 0.00992350i | ||||
\(838\) | −3.85239 | − | 25.8038i | −0.133078 | − | 0.891377i | ||||
\(839\) | 15.3975 | + | 6.37787i | 0.531582 | + | 0.220188i | 0.632296 | − | 0.774727i | \(-0.282113\pi\) |
−0.100714 | + | 0.994915i | \(0.532113\pi\) | |||||||
\(840\) | 1.15812 | − | 0.193157i | 0.0399588 | − | 0.00666456i | ||||
\(841\) | 10.7554 | − | 10.7554i | 0.370875 | − | 0.370875i | ||||
\(842\) | −25.5234 | + | 15.3307i | −0.879593 | + | 0.528331i | ||||
\(843\) | 0.307524 | + | 0.742429i | 0.0105917 | + | 0.0255706i | ||||
\(844\) | −20.4382 | − | 24.8089i | −0.703512 | − | 0.853958i | ||||
\(845\) | 34.9382 | − | 3.97770i | 1.20191 | − | 0.136837i | ||||
\(846\) | −1.60464 | − | 2.67149i | −0.0551686 | − | 0.0918476i | ||||
\(847\) | −8.06620 | + | 19.4735i | −0.277158 | + | 0.669119i | ||||
\(848\) | −11.9811 | + | 8.07074i | −0.411433 | + | 0.277150i | ||||
\(849\) | 0.460005i | 0.0157873i | ||||||||
\(850\) | 10.0098 | − | 27.3825i | 0.343334 | − | 0.939213i | ||||
\(851\) | 5.18210 | 0.177640 | ||||||||
\(852\) | 0.496352 | − | 0.932817i | 0.0170047 | − | 0.0319578i | ||||
\(853\) | −13.1173 | − | 5.43335i | −0.449126 | − | 0.186034i | 0.146643 | − | 0.989189i | \(-0.453153\pi\) |
−0.595770 | + | 0.803155i | \(0.703153\pi\) | |||||||
\(854\) | −32.4341 | − | 53.9980i | −1.10987 | − | 1.84778i | ||||
\(855\) | 2.82528 | + | 24.8159i | 0.0966224 | + | 0.848685i | ||||
\(856\) | 5.93775 | + | 2.10572i | 0.202948 | + | 0.0719720i | ||||
\(857\) | 25.8389 | − | 10.7028i | 0.882639 | − | 0.365601i | 0.105119 | − | 0.994460i | \(-0.466478\pi\) |
0.777520 | + | 0.628859i | \(0.216478\pi\) | |||||||
\(858\) | −0.537113 | − | 0.894215i | −0.0183367 | − | 0.0305280i | ||||
\(859\) | −10.8606 | − | 10.8606i | −0.370558 | − | 0.370558i | 0.497123 | − | 0.867680i | \(-0.334390\pi\) |
−0.867680 | + | 0.497123i | \(0.834390\pi\) | |||||||
\(860\) | 8.41438 | − | 21.3368i | 0.286928 | − | 0.727578i | ||||
\(861\) | 0.0769919 | − | 0.185875i | 0.00262388 | − | 0.00633460i | ||||
\(862\) | −5.70470 | − | 38.2109i | −0.194303 | − | 1.30147i | ||||
\(863\) | −5.63029 | + | 5.63029i | −0.191657 | + | 0.191657i | −0.796412 | − | 0.604755i | \(-0.793271\pi\) |
0.604755 | + | 0.796412i | \(0.293271\pi\) | |||||||
\(864\) | −1.20339 | − | 0.0534590i | −0.0409402 | − | 0.00181871i | ||||
\(865\) | 7.63716 | − | 26.6254i | 0.259671 | − | 0.905291i | ||||
\(866\) | 7.54363 | + | 12.5590i | 0.256343 | + | 0.426773i | ||||
\(867\) | 0.296027 | + | 0.525864i | 0.0100536 | + | 0.0178593i | ||||
\(868\) | 5.82499 | + | 19.0735i | 0.197713 | + | 0.647395i | ||||
\(869\) | 7.99008 | + | 7.99008i | 0.271045 | + | 0.271045i | ||||
\(870\) | −0.253682 | − | 0.330767i | −0.00860061 | − | 0.0112140i | ||||
\(871\) | −44.6663 | −1.51346 | ||||||||
\(872\) | −36.5394 | − | 12.9581i | −1.23738 | − | 0.438815i | ||||
\(873\) | −30.5376 | + | 12.6491i | −1.03354 | + | 0.428107i | ||||
\(874\) | 17.9516 | − | 2.68010i | 0.607223 | − | 0.0906556i | ||||
\(875\) | 43.4619 | − | 39.1132i | 1.46928 | − | 1.32227i | ||||
\(876\) | 0.203060 | + | 0.664903i | 0.00686076 | + | 0.0224650i | ||||
\(877\) | 0.259983 | + | 0.627655i | 0.00877901 | + | 0.0211944i | 0.928208 | − | 0.372061i | \(-0.121349\pi\) |
−0.919429 | + | 0.393255i | \(0.871349\pi\) | |||||||
\(878\) | −15.0314 | + | 20.3074i | −0.507286 | + | 0.685340i | ||||
\(879\) | 0.127531 | + | 0.307887i | 0.00430151 | + | 0.0103848i | ||||
\(880\) | −32.9864 | + | 10.6926i | −1.11197 | + | 0.360448i | ||||
\(881\) | 29.4959 | − | 12.2176i | 0.993741 | − | 0.411621i | 0.174243 | − | 0.984703i | \(-0.444252\pi\) |
0.819498 | + | 0.573082i | \(0.194252\pi\) | |||||||
\(882\) | 73.9822 | − | 44.4377i | 2.49111 | − | 1.49629i | ||||
\(883\) | 1.43819 | − | 1.43819i | 0.0483991 | − | 0.0483991i | −0.682493 | − | 0.730892i | \(-0.739104\pi\) |
0.730892 | + | 0.682493i | \(0.239104\pi\) | |||||||
\(884\) | 30.0975 | + | 32.3651i | 1.01229 | + | 1.08855i | ||||
\(885\) | −0.0424912 | − | 0.0766715i | −0.00142833 | − | 0.00257729i | ||||
\(886\) | 5.96923 | − | 23.9258i | 0.200540 | − | 0.803802i | ||||
\(887\) | 6.19185 | − | 14.9485i | 0.207902 | − | 0.501920i | −0.785190 | − | 0.619254i | \(-0.787435\pi\) |
0.993092 | + | 0.117334i | \(0.0374350\pi\) | |||||||
\(888\) | 0.101090 | − | 0.112169i | 0.00339236 | − | 0.00376414i | ||||
\(889\) | 21.2698 | − | 8.81024i | 0.713366 | − | 0.295486i | ||||
\(890\) | −25.0299 | − | 32.6356i | −0.839004 | − | 1.09395i | ||||
\(891\) | 13.3358 | − | 32.1955i | 0.446767 | − | 1.07859i | ||||
\(892\) | 23.0864 | + | 12.2843i | 0.772991 | + | 0.411308i | ||||
\(893\) | 2.73714 | 0.0915947 | ||||||||
\(894\) | 0.509006 | − | 0.0759923i | 0.0170237 | − | 0.00254156i | ||||
\(895\) | −12.3951 | + | 15.5800i | −0.414321 | + | 0.520782i | ||||
\(896\) | 50.9486 | + | 30.0842i | 1.70207 | + | 1.00504i | ||||
\(897\) | −0.463548 | + | 0.463548i | −0.0154774 | + | 0.0154774i | ||||
\(898\) | −14.6724 | + | 2.19052i | −0.489625 | + | 0.0730987i | ||||
\(899\) | 5.00661 | − | 5.00661i | 0.166980 | − | 0.166980i | ||||
\(900\) | −25.9770 | + | 14.9814i | −0.865899 | + | 0.499379i | ||||
\(901\) | −6.51315 | − | 13.3905i | −0.216984 | − | 0.446102i | ||||
\(902\) | −1.43835 | + | 5.76518i | −0.0478920 | + | 0.191960i | ||||
\(903\) | 0.952100i | 0.0316839i | ||||||||
\(904\) | −12.5808 | − | 26.4072i | −0.418431 | − | 0.878290i | ||||
\(905\) | 43.5984 | + | 12.5057i | 1.44926 | + | 0.415702i | ||||
\(906\) | −0.976742 | − | 0.722981i | −0.0324501 | − | 0.0240194i | ||||
\(907\) | 4.18770 | + | 10.1100i | 0.139050 | + | 0.335697i | 0.978030 | − | 0.208466i | \(-0.0668472\pi\) |
−0.838979 | + | 0.544163i | \(0.816847\pi\) | |||||||
\(908\) | −15.7874 | − | 1.52501i | −0.523923 | − | 0.0506091i | ||||
\(909\) | −30.5199 | + | 30.5199i | −1.01228 | + | 1.01228i | ||||
\(910\) | 22.9207 | + | 85.6224i | 0.759814 | + | 2.83836i | ||||
\(911\) | −34.2135 | − | 14.1717i | −1.13354 | − | 0.469529i | −0.264560 | − | 0.964369i | \(-0.585227\pi\) |
−0.868984 | + | 0.494840i | \(0.835227\pi\) | |||||||
\(912\) | 0.292180 | − | 0.440853i | 0.00967506 | − | 0.0145981i | ||||
\(913\) | 3.63558 | + | 1.50591i | 0.120320 | + | 0.0498383i | ||||
\(914\) | 16.3821 | + | 27.2738i | 0.541873 | + | 0.902138i | ||||
\(915\) | −0.529027 | − | 0.420880i | −0.0174891 | − | 0.0139139i | ||||
\(916\) | 8.09379 | + | 26.5025i | 0.267427 | + | 0.875666i | ||||
\(917\) | 53.7907 | − | 53.7907i | 1.77633 | − | 1.77633i | ||||
\(918\) | 0.227773 | − | 1.22058i | 0.00751762 | − | 0.0402852i | ||||
\(919\) | −32.5256 | −1.07292 | −0.536460 | − | 0.843926i | \(-0.680239\pi\) | ||||
−0.536460 | + | 0.843926i | \(0.680239\pi\) | |||||||
\(920\) | 11.5382 | + | 18.4872i | 0.380402 | + | 0.609505i | ||||
\(921\) | 0.198808 | − | 0.0823491i | 0.00655095 | − | 0.00271349i | ||||
\(922\) | −11.5652 | + | 46.3556i | −0.380881 | + | 1.52664i | ||||
\(923\) | 73.6976 | + | 30.5265i | 2.42578 | + | 1.00479i | ||||
\(924\) | 1.11099 | − | 0.915262i | 0.0365489 | − | 0.0301099i | ||||
\(925\) | 1.24237 | − | 7.41639i | 0.0408490 | − | 0.243849i | ||||
\(926\) | 7.04382 | − | 28.2329i | 0.231474 | − | 0.927791i | ||||
\(927\) | 25.2284i | 0.828610i | ||||||||
\(928\) | 0.932260 | − | 20.9857i | 0.0306029 | − | 0.688888i | ||||
\(929\) | 17.3258 | − | 41.8282i | 0.568441 | − | 1.37234i | −0.334428 | − | 0.942421i | \(-0.608543\pi\) |
0.902869 | − | 0.429916i | \(-0.141457\pi\) | |||||||
\(930\) | 0.130255 | + | 0.169835i | 0.00427124 | + | 0.00556912i | ||||
\(931\) | 75.8002i | 2.48425i | ||||||||
\(932\) | 29.2425 | − | 24.0907i | 0.957869 | − | 0.789117i | ||||
\(933\) | − | 0.364652i | − | 0.0119382i | ||||||
\(934\) | −32.5907 | + | 19.5757i | −1.06640 | + | 0.640536i | ||||
\(935\) | −6.16588 | − | 35.2075i | −0.201646 | − | 1.15141i | ||||
\(936\) | −2.35841 | − | 45.3978i | −0.0770869 | − | 1.48387i | ||||
\(937\) | − | 25.7211i | − | 0.840273i | −0.907461 | − | 0.420136i | \(-0.861982\pi\) | ||
0.907461 | − | 0.420136i | \(-0.138018\pi\) | |||||||
\(938\) | −9.10121 | − | 60.9611i | −0.297165 | − | 1.99045i | ||||
\(939\) | 0.532306 | 0.0173711 | ||||||||
\(940\) | 1.30924 | + | 3.01426i | 0.0427027 | + | 0.0983142i | ||||
\(941\) | −22.6193 | + | 54.6079i | −0.737370 | + | 1.78017i | −0.121089 | + | 0.992642i | \(0.538639\pi\) |
−0.616281 | + | 0.787526i | \(0.711361\pi\) | |||||||
\(942\) | −0.00177390 | + | 0.00239653i | −5.77968e−5 | + | 7.80830e-5i | ||||
\(943\) | 3.73421 | 0.121603 | ||||||||
\(944\) | 0.845525 | − | 4.33575i | 0.0275195 | − | 0.141117i | ||||
\(945\) | 1.55032 | − | 1.94868i | 0.0504319 | − | 0.0633905i | ||||
\(946\) | −4.15205 | − | 27.8110i | −0.134995 | − | 0.904212i | ||||
\(947\) | 1.24584 | − | 3.00773i | 0.0404845 | − | 0.0977381i | −0.902344 | − | 0.431017i | \(-0.858155\pi\) |
0.942828 | + | 0.333279i | \(0.108155\pi\) | |||||||
\(948\) | −0.0604385 | − | 0.197901i | −0.00196295 | − | 0.00642752i | ||||
\(949\) | −48.4890 | + | 20.0848i | −1.57402 | + | 0.651980i | ||||
\(950\) | 0.468149 | − | 26.3341i | 0.0151888 | − | 0.854391i | ||||
\(951\) | − | 0.859560i | − | 0.0278731i | ||||||
\(952\) | −38.0395 | + | 47.6720i | −1.23287 | + | 1.54506i | ||||
\(953\) | −9.06064 | + | 9.06064i | −0.293503 | + | 0.293503i | −0.838462 | − | 0.544960i | \(-0.816545\pi\) |
0.544960 | + | 0.838462i | \(0.316545\pi\) | |||||||
\(954\) | −3.70747 | + | 14.8602i | −0.120034 | + | 0.481118i | ||||
\(955\) | 3.33019 | + | 29.2507i | 0.107762 | + | 0.946532i | ||||
\(956\) | −2.57871 | + | 4.84628i | −0.0834014 | + | 0.156740i | ||||
\(957\) | −0.472146 | − | 0.195569i | −0.0152623 | − | 0.00632186i | ||||
\(958\) | −23.8738 | + | 32.2534i | −0.771329 | + | 1.04206i | ||||
\(959\) | −27.0235 | + | 65.2406i | −0.872635 | + | 2.10673i | ||||
\(960\) | 0.625244 | + | 0.110891i | 0.0201797 | + | 0.00357900i | ||||
\(961\) | 19.3496 | − | 19.3496i | 0.624181 | − | 0.624181i | ||||
\(962\) | 9.16247 | + | 6.78203i | 0.295410 | + | 0.218662i | ||||
\(963\) | 6.17099 | − | 2.55611i | 0.198857 | − | 0.0823694i | ||||
\(964\) | −3.44655 | + | 35.6800i | −0.111006 | + | 1.14917i | ||||
\(965\) | 12.5637 | + | 22.6701i | 0.404440 | + | 0.729776i | ||||
\(966\) | −0.727108 | − | 0.538203i | −0.0233943 | − | 0.0173164i | ||||
\(967\) | 15.3723 | 0.494339 | 0.247169 | − | 0.968972i | \(-0.420500\pi\) | ||||
0.247169 | + | 0.968972i | \(0.420500\pi\) | |||||||
\(968\) | −7.63177 | + | 8.46816i | −0.245294 | + | 0.272177i | ||||
\(969\) | 0.407914 | + | 0.361675i | 0.0131041 | + | 0.0116187i | ||||
\(970\) | 33.6707 | − | 9.01348i | 1.08110 | − | 0.289405i | ||||
\(971\) | −4.97061 | − | 4.97061i | −0.159515 | − | 0.159515i | 0.622837 | − | 0.782352i | \(-0.285980\pi\) |
−0.782352 | + | 0.622837i | \(0.785980\pi\) | |||||||
\(972\) | −1.47865 | + | 1.21815i | −0.0474277 | + | 0.0390722i | ||||
\(973\) | −29.8676 | + | 29.8676i | −0.957512 | + | 0.957512i | ||||
\(974\) | −7.81173 | + | 10.5536i | −0.250304 | + | 0.338159i | ||||
\(975\) | 0.552276 | + | 0.774541i | 0.0176870 | + | 0.0248052i | ||||
\(976\) | −6.77159 | − | 33.3875i | −0.216753 | − | 1.06871i | ||||
\(977\) | −58.1732 | −1.86112 | −0.930562 | − | 0.366134i | \(-0.880681\pi\) | ||||
−0.930562 | + | 0.366134i | \(0.880681\pi\) | |||||||
\(978\) | 0.604218 | − | 0.362926i | 0.0193208 | − | 0.0116051i | ||||
\(979\) | −46.5851 | − | 19.2962i | −1.48887 | − | 0.616709i | ||||
\(980\) | −83.4747 | + | 36.2572i | −2.66650 | + | 1.15819i | ||||
\(981\) | −37.9747 | + | 15.7296i | −1.21244 | + | 0.502208i | ||||
\(982\) | −44.6882 | − | 11.1493i | −1.42606 | − | 0.355787i | ||||
\(983\) | 19.6113 | + | 8.12327i | 0.625504 | + | 0.259092i | 0.672841 | − | 0.739787i | \(-0.265074\pi\) |
−0.0473375 | + | 0.998879i | \(0.515074\pi\) | |||||||
\(984\) | 0.0728452 | − | 0.0808286i | 0.00232222 | − | 0.00257672i | ||||
\(985\) | 12.0241 | − | 6.66376i | 0.383121 | − | 0.212325i | ||||
\(986\) | 21.2854 | + | 3.97208i | 0.677866 | + | 0.126497i | ||||
\(987\) | −0.0964627 | − | 0.0964627i | −0.00307044 | − | 0.00307044i | ||||
\(988\) | 35.2479 | + | 18.7554i | 1.12138 | + | 0.596688i | ||||
\(989\) | −16.3264 | + | 6.76263i | −0.519151 | + | 0.215039i | ||||
\(990\) | −18.3896 | + | 31.8343i | −0.584460 | + | 1.01176i | ||||
\(991\) | 14.2178 | − | 5.88922i | 0.451645 | − | 0.187077i | −0.145253 | − | 0.989394i | \(-0.546400\pi\) |
0.596898 | + | 0.802317i | \(0.296400\pi\) | |||||||
\(992\) | −0.478678 | + | 10.7753i | −0.0151980 | + | 0.342116i | ||||
\(993\) | 0.258421 | + | 0.623883i | 0.00820074 | + | 0.0197983i | ||||
\(994\) | −26.6463 | + | 106.803i | −0.845170 | + | 3.38759i | ||||
\(995\) | 28.7284 | − | 15.9212i | 0.910750 | − | 0.504736i | ||||
\(996\) | −0.0458198 | − | 0.0556184i | −0.00145186 | − | 0.00176234i | ||||
\(997\) | −16.5568 | + | 6.85806i | −0.524360 | + | 0.217197i | −0.629131 | − | 0.777299i | \(-0.716589\pi\) |
0.104771 | + | 0.994496i | \(0.466589\pi\) | |||||||
\(998\) | −2.04689 | − | 13.7103i | −0.0647932 | − | 0.433993i | ||||
\(999\) | − | 0.320252i | − | 0.0101323i |
(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 | 680.2.bw.a.427.17 | yes | 416 | |
5.3 | odd | 4 | 680.2.bz.a.563.70 | yes | 416 | ||
8.3 | odd | 2 | inner | 680.2.bw.a.427.88 | yes | 416 | |
17.9 | even | 8 | 680.2.bz.a.587.70 | yes | 416 | ||
40.3 | even | 4 | 680.2.bz.a.563.69 | yes | 416 | ||
85.43 | odd | 8 | inner | 680.2.bw.a.43.88 | yes | 416 | |
136.43 | odd | 8 | 680.2.bz.a.587.69 | yes | 416 | ||
680.43 | even | 8 | inner | 680.2.bw.a.43.17 | ✓ | 416 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
680.2.bw.a.43.17 | ✓ | 416 | 680.43 | even | 8 | inner | |
680.2.bw.a.43.88 | yes | 416 | 85.43 | odd | 8 | inner | |
680.2.bw.a.427.17 | yes | 416 | 1.1 | even | 1 | trivial | |
680.2.bw.a.427.88 | yes | 416 | 8.3 | odd | 2 | inner | |
680.2.bz.a.563.69 | yes | 416 | 40.3 | even | 4 | ||
680.2.bz.a.563.70 | yes | 416 | 5.3 | odd | 4 | ||
680.2.bz.a.587.69 | yes | 416 | 136.43 | odd | 8 | ||
680.2.bz.a.587.70 | yes | 416 | 17.9 | even | 8 |