Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 61.17 | ||
Character | \(\chi\) | \(=\) | 483.61 |
Dual form | 483.2.bf.a.388.17 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{17}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0474955 | + | 0.0373509i | 0.0335844 | + | 0.0264111i | 0.634810 | − | 0.772668i | \(-0.281078\pi\) |
−0.601226 | + | 0.799079i | \(0.705321\pi\) | |||||||
\(3\) | 0.814576 | + | 0.580057i | 0.470296 | + | 0.334896i | ||||
\(4\) | −0.470657 | − | 1.94008i | −0.235329 | − | 0.970038i | ||||
\(5\) | −2.52294 | + | 0.486256i | −1.12829 | + | 0.217460i | −0.719045 | − | 0.694963i | \(-0.755421\pi\) |
−0.409247 | + | 0.912424i | \(0.634209\pi\) | |||||||
\(6\) | 0.0170231 | + | 0.0579752i | 0.00694964 | + | 0.0236683i | ||||
\(7\) | −2.47853 | + | 0.925688i | −0.936796 | + | 0.349877i | ||||
\(8\) | 0.100311 | − | 0.219649i | 0.0354651 | − | 0.0776578i | ||||
\(9\) | 0.327068 | + | 0.945001i | 0.109023 | + | 0.315000i | ||||
\(10\) | −0.137990 | − | 0.0711390i | −0.0436364 | − | 0.0224961i | ||||
\(11\) | −0.645830 | − | 0.821240i | −0.194725 | − | 0.247613i | 0.678879 | − | 0.734250i | \(-0.262466\pi\) |
−0.873604 | + | 0.486637i | \(0.838224\pi\) | |||||||
\(12\) | 0.741968 | − | 1.85335i | 0.214188 | − | 0.535015i | ||||
\(13\) | 2.60918 | + | 4.05997i | 0.723657 | + | 1.12603i | 0.986905 | + | 0.161304i | \(0.0515699\pi\) |
−0.263248 | + | 0.964728i | \(0.584794\pi\) | |||||||
\(14\) | −0.152294 | − | 0.0486092i | −0.0407024 | − | 0.0129914i | ||||
\(15\) | −2.33718 | − | 1.06735i | −0.603458 | − | 0.275590i | ||||
\(16\) | −3.53588 | + | 1.82287i | −0.883971 | + | 0.455719i | ||||
\(17\) | −4.48017 | − | 4.27183i | −1.08660 | − | 1.03607i | −0.999204 | − | 0.0398982i | \(-0.987297\pi\) |
−0.0873970 | − | 0.996174i | \(-0.527855\pi\) | |||||||
\(18\) | −0.0197624 | + | 0.0570996i | −0.00465803 | + | 0.0134585i | ||||
\(19\) | −4.83551 | + | 4.61065i | −1.10934 | + | 1.05775i | −0.111390 | + | 0.993777i | \(0.535530\pi\) |
−0.997951 | + | 0.0639779i | \(0.979621\pi\) | |||||||
\(20\) | 2.13081 | + | 4.66583i | 0.476464 | + | 1.04331i | ||||
\(21\) | −2.55590 | − | 0.683644i | −0.557743 | − | 0.149183i | ||||
\(22\) | − | 0.0631276i | − | 0.0134588i | ||||||
\(23\) | −3.72820 | − | 3.01670i | −0.777384 | − | 0.629026i | ||||
\(24\) | 0.209120 | − | 0.120735i | 0.0426864 | − | 0.0246450i | ||||
\(25\) | 1.48693 | − | 0.595277i | 0.297386 | − | 0.119055i | ||||
\(26\) | −0.0277189 | + | 0.290285i | −0.00543612 | + | 0.0569297i | ||||
\(27\) | −0.281733 | + | 0.959493i | −0.0542195 | + | 0.184655i | ||||
\(28\) | 2.96244 | + | 4.37285i | 0.559849 | + | 0.826391i | ||||
\(29\) | −8.05452 | + | 2.36502i | −1.49569 | + | 0.439173i | −0.924351 | − | 0.381543i | \(-0.875393\pi\) |
−0.571336 | + | 0.820716i | \(0.693575\pi\) | |||||||
\(30\) | −0.0711390 | − | 0.137990i | −0.0129881 | − | 0.0251935i | ||||
\(31\) | 0.114168 | + | 1.19562i | 0.0205052 | + | 0.214740i | 0.999917 | + | 0.0128687i | \(0.00409634\pi\) |
−0.979412 | + | 0.201872i | \(0.935298\pi\) | |||||||
\(32\) | −0.710238 | − | 0.136887i | −0.125554 | − | 0.0241985i | ||||
\(33\) | −0.0497119 | − | 1.04358i | −0.00865372 | − | 0.181664i | ||||
\(34\) | −0.0532312 | − | 0.370231i | −0.00912908 | − | 0.0634941i | ||||
\(35\) | 5.80305 | − | 3.54065i | 0.980895 | − | 0.598480i | ||||
\(36\) | 1.67944 | − | 1.07931i | 0.279906 | − | 0.179885i | ||||
\(37\) | 8.56184 | − | 2.96328i | 1.40756 | − | 0.487160i | 0.485508 | − | 0.874232i | \(-0.338635\pi\) |
0.922049 | + | 0.387072i | \(0.126514\pi\) | |||||||
\(38\) | −0.401877 | + | 0.0383746i | −0.0651930 | + | 0.00622518i | ||||
\(39\) | −0.229635 | + | 4.82062i | −0.0367710 | + | 0.771918i | ||||
\(40\) | −0.146271 | + | 0.602938i | −0.0231275 | + | 0.0953329i | ||||
\(41\) | 3.91456 | − | 3.39198i | 0.611351 | − | 0.529739i | −0.293229 | − | 0.956042i | \(-0.594730\pi\) |
0.904580 | + | 0.426304i | \(0.140184\pi\) | |||||||
\(42\) | −0.0958592 | − | 0.127935i | −0.0147914 | − | 0.0197408i | ||||
\(43\) | −1.99388 | + | 0.910575i | −0.304064 | + | 0.138861i | −0.561604 | − | 0.827406i | \(-0.689815\pi\) |
0.257540 | + | 0.966268i | \(0.417088\pi\) | |||||||
\(44\) | −1.28930 | + | 1.63948i | −0.194370 | + | 0.247161i | ||||
\(45\) | −1.28468 | − | 2.22514i | −0.191510 | − | 0.331704i | ||||
\(46\) | −0.0643963 | − | 0.282532i | −0.00949472 | − | 0.0416570i | ||||
\(47\) | 8.34895 | + | 4.82027i | 1.21782 | + | 0.703108i | 0.964451 | − | 0.264262i | \(-0.0851283\pi\) |
0.253368 | + | 0.967370i | \(0.418462\pi\) | |||||||
\(48\) | −3.93762 | − | 0.566144i | −0.568346 | − | 0.0817158i | ||||
\(49\) | 5.28620 | − | 4.58869i | 0.755172 | − | 0.655527i | ||||
\(50\) | 0.0928567 | + | 0.0272652i | 0.0131319 | + | 0.00385588i | ||||
\(51\) | −1.17153 | − | 6.07849i | −0.164047 | − | 0.851158i | ||||
\(52\) | 6.64861 | − | 6.97286i | 0.921996 | − | 0.966962i | ||||
\(53\) | −3.34162 | − | 0.159181i | −0.459007 | − | 0.0218652i | −0.183194 | − | 0.983077i | \(-0.558644\pi\) |
−0.275812 | + | 0.961212i | \(0.588947\pi\) | |||||||
\(54\) | −0.0492190 | + | 0.0350487i | −0.00669785 | + | 0.00476952i | ||||
\(55\) | 2.02872 | + | 1.75790i | 0.273553 | + | 0.237035i | ||||
\(56\) | −0.0452956 | + | 0.637263i | −0.00605288 | + | 0.0851579i | ||||
\(57\) | −6.61332 | + | 0.950852i | −0.875956 | + | 0.125943i | ||||
\(58\) | −0.470889 | − | 0.188516i | −0.0618308 | − | 0.0247533i | ||||
\(59\) | −1.83481 | + | 3.55903i | −0.238871 | + | 0.463346i | −0.977548 | − | 0.210715i | \(-0.932421\pi\) |
0.738676 | + | 0.674060i | \(0.235451\pi\) | |||||||
\(60\) | −0.970738 | + | 5.03666i | −0.125322 | + | 0.650231i | ||||
\(61\) | −0.0744591 | − | 0.104563i | −0.00953351 | − | 0.0133879i | 0.809782 | − | 0.586731i | \(-0.199586\pi\) |
−0.819315 | + | 0.573343i | \(0.805646\pi\) | |||||||
\(62\) | −0.0392351 | + | 0.0610511i | −0.00498287 | + | 0.00775349i | ||||
\(63\) | −1.68542 | − | 2.03945i | −0.212343 | − | 0.256946i | ||||
\(64\) | 5.18159 | + | 5.97988i | 0.647699 | + | 0.747485i | ||||
\(65\) | −8.55699 | − | 8.97431i | −1.06136 | − | 1.11313i | ||||
\(66\) | 0.0366176 | − | 0.0514222i | 0.00450731 | − | 0.00632963i | ||||
\(67\) | −5.63291 | − | 14.0703i | −0.688170 | − | 1.71897i | −0.695021 | − | 0.718989i | \(-0.744605\pi\) |
0.00685113 | − | 0.999977i | \(-0.497819\pi\) | |||||||
\(68\) | −6.17905 | + | 10.7024i | −0.749320 | + | 1.29786i | ||||
\(69\) | −1.28704 | − | 4.61990i | −0.154942 | − | 0.556171i | ||||
\(70\) | 0.407866 | + | 0.0485839i | 0.0487493 | + | 0.00580689i | ||||
\(71\) | 1.05010 | − | 7.30361i | 0.124624 | − | 0.866778i | −0.827587 | − | 0.561337i | \(-0.810287\pi\) |
0.952211 | − | 0.305441i | \(-0.0988039\pi\) | |||||||
\(72\) | 0.240377 | + | 0.0229532i | 0.0283287 | + | 0.00270507i | ||||
\(73\) | −2.26550 | + | 0.549604i | −0.265157 | + | 0.0643263i | −0.366133 | − | 0.930562i | \(-0.619319\pi\) |
0.100976 | + | 0.994889i | \(0.467803\pi\) | |||||||
\(74\) | 0.517330 | + | 0.179050i | 0.0601384 | + | 0.0208141i | ||||
\(75\) | 1.55651 | + | 0.377606i | 0.179731 | + | 0.0436022i | ||||
\(76\) | 11.2209 | + | 7.21121i | 1.28712 | + | 0.827183i | ||||
\(77\) | 2.36092 | + | 1.43763i | 0.269052 | + | 0.163833i | ||||
\(78\) | −0.190961 | + | 0.220381i | −0.0216221 | + | 0.0249532i | ||||
\(79\) | 9.43095 | − | 0.449252i | 1.06107 | − | 0.0505448i | 0.490217 | − | 0.871600i | \(-0.336918\pi\) |
0.570848 | + | 0.821056i | \(0.306615\pi\) | |||||||
\(80\) | 8.03443 | − | 6.31835i | 0.898277 | − | 0.706412i | ||||
\(81\) | −0.786053 | + | 0.618159i | −0.0873392 | + | 0.0686843i | ||||
\(82\) | 0.312617 | − | 0.0148918i | 0.0345228 | − | 0.00164452i | ||||
\(83\) | −4.05177 | + | 4.67600i | −0.444740 | + | 0.513257i | −0.933214 | − | 0.359321i | \(-0.883008\pi\) |
0.488474 | + | 0.872578i | \(0.337554\pi\) | |||||||
\(84\) | −0.123368 | + | 5.28040i | −0.0134605 | + | 0.576139i | ||||
\(85\) | 13.3804 | + | 8.59906i | 1.45131 | + | 0.932699i | ||||
\(86\) | −0.128711 | − | 0.0312250i | −0.0138793 | − | 0.00336708i | ||||
\(87\) | −7.93287 | − | 2.74559i | −0.850493 | − | 0.294358i | ||||
\(88\) | −0.245168 | + | 0.0594772i | −0.0261350 | + | 0.00634029i | ||||
\(89\) | 6.70166 | + | 0.639931i | 0.710374 | + | 0.0678325i | 0.443987 | − | 0.896033i | \(-0.353564\pi\) |
0.266388 | + | 0.963866i | \(0.414170\pi\) | |||||||
\(90\) | 0.0220942 | − | 0.153668i | 0.00232893 | − | 0.0161981i | ||||
\(91\) | −10.2252 | − | 7.64745i | −1.07189 | − | 0.801671i | ||||
\(92\) | −4.09793 | + | 8.65283i | −0.427238 | + | 0.902120i | ||||
\(93\) | −0.600531 | + | 1.04015i | −0.0622722 | + | 0.107859i | ||||
\(94\) | 0.216496 | + | 0.540782i | 0.0223299 | + | 0.0557774i | ||||
\(95\) | 9.95773 | − | 13.9837i | 1.02164 | − | 1.43469i | ||||
\(96\) | −0.499141 | − | 0.523484i | −0.0509433 | − | 0.0534278i | ||||
\(97\) | 0.255039 | + | 0.294331i | 0.0258953 | + | 0.0298847i | 0.768549 | − | 0.639790i | \(-0.220979\pi\) |
−0.742654 | + | 0.669675i | \(0.766433\pi\) | |||||||
\(98\) | 0.422463 | − | 0.0204978i | 0.0426752 | − | 0.00207059i | ||||
\(99\) | 0.564842 | − | 0.878911i | 0.0567688 | − | 0.0883339i | ||||
\(100\) | −1.85472 | − | 2.60459i | −0.185472 | − | 0.260459i | ||||
\(101\) | −0.421670 | + | 2.18783i | −0.0419578 | + | 0.217698i | −0.996856 | − | 0.0792361i | \(-0.974752\pi\) |
0.954898 | + | 0.296934i | \(0.0959640\pi\) | |||||||
\(102\) | 0.171394 | − | 0.332459i | 0.0169706 | − | 0.0329183i | ||||
\(103\) | −8.80404 | − | 3.52461i | −0.867488 | − | 0.347290i | −0.105140 | − | 0.994457i | \(-0.533529\pi\) |
−0.762348 | + | 0.647167i | \(0.775953\pi\) | |||||||
\(104\) | 1.15350 | − | 0.165848i | 0.113110 | − | 0.0162627i | ||||
\(105\) | 6.78081 | + | 0.481968i | 0.661739 | + | 0.0470353i | ||||
\(106\) | −0.152766 | − | 0.132373i | −0.0148380 | − | 0.0128572i | ||||
\(107\) | −8.06757 | + | 5.74489i | −0.779922 | + | 0.555380i | −0.899229 | − | 0.437478i | \(-0.855872\pi\) |
0.119308 | + | 0.992857i | \(0.461933\pi\) | |||||||
\(108\) | 1.99409 | + | 0.0949901i | 0.191881 | + | 0.00914043i | ||||
\(109\) | −12.5393 | + | 13.1508i | −1.20104 | + | 1.25962i | −0.243968 | + | 0.969783i | \(0.578449\pi\) |
−0.957076 | + | 0.289836i | \(0.906399\pi\) | |||||||
\(110\) | 0.0306962 | + | 0.159267i | 0.00292677 | + | 0.0151855i | ||||
\(111\) | 8.69314 | + | 2.55254i | 0.825116 | + | 0.242276i | ||||
\(112\) | 7.07637 | − | 7.79117i | 0.668654 | − | 0.736196i | ||||
\(113\) | −3.79536 | − | 0.545691i | −0.357038 | − | 0.0513343i | −0.0385377 | − | 0.999257i | \(-0.512270\pi\) |
−0.318500 | + | 0.947923i | \(0.603179\pi\) | |||||||
\(114\) | −0.349618 | − | 0.201852i | −0.0327448 | − | 0.0189052i | ||||
\(115\) | 10.8729 | + | 5.79809i | 1.01390 | + | 0.540675i | ||||
\(116\) | 8.37924 | + | 14.5133i | 0.777993 | + | 1.34752i | ||||
\(117\) | −2.98329 | + | 3.79356i | −0.275805 | + | 0.350715i | ||||
\(118\) | −0.220078 | + | 0.100506i | −0.0202598 | + | 0.00925234i | ||||
\(119\) | 15.0586 | + | 6.44062i | 1.38042 | + | 0.590411i | ||||
\(120\) | −0.468888 | + | 0.406293i | −0.0428034 | + | 0.0370893i | ||||
\(121\) | 2.33601 | − | 9.62916i | 0.212365 | − | 0.875379i | ||||
\(122\) | 0.000369054 | − | 0.00774739i | 3.34126e−5 | − | 0.000701416i | ||||
\(123\) | 5.15625 | − | 0.492362i | 0.464923 | − | 0.0443948i | ||||
\(124\) | 2.26587 | − | 0.784224i | 0.203481 | − | 0.0704254i | ||||
\(125\) | 7.34548 | − | 4.72065i | 0.657000 | − | 0.422228i | ||||
\(126\) | −0.00387485 | − | 0.159817i | −0.000345199 | − | 0.0142376i | ||||
\(127\) | 2.09199 | + | 14.5501i | 0.185634 | + | 1.29111i | 0.843152 | + | 0.537676i | \(0.180698\pi\) |
−0.657517 | + | 0.753439i | \(0.728393\pi\) | |||||||
\(128\) | 0.0915816 | + | 1.92254i | 0.00809475 | + | 0.169930i | ||||
\(129\) | −2.15235 | − | 0.414832i | −0.189504 | − | 0.0365239i | ||||
\(130\) | −0.0712201 | − | 0.745851i | −0.00624642 | − | 0.0654154i | ||||
\(131\) | −8.05938 | − | 15.6330i | −0.704151 | − | 1.36586i | −0.920963 | − | 0.389649i | \(-0.872596\pi\) |
0.216813 | − | 0.976213i | \(-0.430434\pi\) | |||||||
\(132\) | −2.00123 | + | 0.587613i | −0.174184 | + | 0.0511452i | ||||
\(133\) | 7.71692 | − | 15.9038i | 0.669142 | − | 1.37903i | ||||
\(134\) | 0.258002 | − | 0.878673i | 0.0222879 | − | 0.0759058i | ||||
\(135\) | 0.244234 | − | 2.55774i | 0.0210203 | − | 0.220135i | ||||
\(136\) | −1.38771 | + | 0.555557i | −0.118995 | + | 0.0476386i | ||||
\(137\) | −10.4895 | + | 6.05609i | −0.896175 | + | 0.517407i | −0.875957 | − | 0.482389i | \(-0.839769\pi\) |
−0.0202180 | + | 0.999796i | \(0.506436\pi\) | |||||||
\(138\) | 0.111429 | − | 0.267497i | 0.00948544 | − | 0.0227709i | ||||
\(139\) | 12.7906i | 1.08488i | 0.840094 | + | 0.542441i | \(0.182500\pi\) | ||||
−0.840094 | + | 0.542441i | \(0.817500\pi\) | |||||||
\(140\) | −9.60038 | − | 9.59192i | −0.811380 | − | 0.810665i | ||||
\(141\) | 4.00482 | + | 8.76934i | 0.337267 | + | 0.738511i | ||||
\(142\) | 0.322671 | − | 0.307666i | 0.0270780 | − | 0.0258188i | ||||
\(143\) | 1.64912 | − | 4.76481i | 0.137906 | − | 0.398454i | ||||
\(144\) | −2.87909 | − | 2.74521i | −0.239924 | − | 0.228767i | ||||
\(145\) | 19.1711 | − | 9.88337i | 1.59207 | − | 0.820769i | ||||
\(146\) | −0.128129 | − | 0.0585147i | −0.0106041 | − | 0.00484271i | ||||
\(147\) | 6.96771 | − | 0.671537i | 0.574687 | − | 0.0553874i | ||||
\(148\) | −9.77868 | − | 15.2159i | −0.803802 | − | 1.25074i | ||||
\(149\) | 5.28242 | − | 13.1949i | 0.432753 | − | 1.08096i | −0.538439 | − | 0.842665i | \(-0.680986\pi\) |
0.971192 | − | 0.238300i | \(-0.0765901\pi\) | |||||||
\(150\) | 0.0598235 | + | 0.0760717i | 0.00488457 | + | 0.00621123i | ||||
\(151\) | 6.73466 | + | 3.47196i | 0.548059 | + | 0.282544i | 0.709935 | − | 0.704267i | \(-0.248724\pi\) |
−0.161876 | + | 0.986811i | \(0.551755\pi\) | |||||||
\(152\) | 0.527673 | + | 1.52461i | 0.0428000 | + | 0.123662i | ||||
\(153\) | 2.57157 | − | 5.63094i | 0.207899 | − | 0.455235i | ||||
\(154\) | 0.0584364 | + | 0.156463i | 0.00470894 | + | 0.0126082i | ||||
\(155\) | −0.869419 | − | 2.96097i | −0.0698334 | − | 0.237831i | ||||
\(156\) | 9.46045 | − | 1.82335i | 0.757442 | − | 0.145985i | ||||
\(157\) | 0.958170 | + | 3.94963i | 0.0764703 | + | 0.315215i | 0.997181 | − | 0.0750304i | \(-0.0239054\pi\) |
−0.920711 | + | 0.390245i | \(0.872390\pi\) | |||||||
\(158\) | 0.464708 | + | 0.330917i | 0.0369702 | + | 0.0263263i | ||||
\(159\) | −2.62967 | − | 2.06799i | −0.208546 | − | 0.164003i | ||||
\(160\) | 1.85845 | 0.146923 | ||||||||
\(161\) | 12.0330 | + | 4.02583i | 0.948332 | + | 0.317280i | ||||
\(162\) | −0.0604228 | −0.00474726 | ||||||||
\(163\) | −2.86497 | − | 2.25304i | −0.224402 | − | 0.176471i | 0.499628 | − | 0.866240i | \(-0.333470\pi\) |
−0.724030 | + | 0.689768i | \(0.757712\pi\) | |||||||
\(164\) | −8.42311 | − | 5.99807i | −0.657735 | − | 0.468371i | ||||
\(165\) | 0.632868 | + | 2.60872i | 0.0492687 | + | 0.203088i | ||||
\(166\) | −0.367094 | + | 0.0707515i | −0.0284920 | + | 0.00549138i | ||||
\(167\) | −5.81899 | − | 19.8176i | −0.450287 | − | 1.53354i | −0.801940 | − | 0.597405i | \(-0.796198\pi\) |
0.351653 | − | 0.936130i | \(-0.385620\pi\) | |||||||
\(168\) | −0.406546 | + | 0.492825i | −0.0313657 | + | 0.0380223i | ||||
\(169\) | −4.27510 | + | 9.36116i | −0.328854 | + | 0.720089i | ||||
\(170\) | 0.314326 | + | 0.908187i | 0.0241077 | + | 0.0696547i | ||||
\(171\) | −5.93860 | − | 3.06156i | −0.454136 | − | 0.234124i | ||||
\(172\) | 2.70502 | + | 3.43971i | 0.206256 | + | 0.262276i | ||||
\(173\) | −3.72191 | + | 9.29688i | −0.282972 | + | 0.706829i | 0.716981 | + | 0.697093i | \(0.245523\pi\) |
−0.999953 | + | 0.00973617i | \(0.996901\pi\) | |||||||
\(174\) | −0.274225 | − | 0.426703i | −0.0207890 | − | 0.0323483i | ||||
\(175\) | −3.13436 | + | 2.85185i | −0.236935 | + | 0.215579i | ||||
\(176\) | 3.78060 | + | 1.72654i | 0.284973 | + | 0.130143i | ||||
\(177\) | −3.55903 | + | 1.83481i | −0.267513 | + | 0.137912i | ||||
\(178\) | 0.294397 | + | 0.280707i | 0.0220660 | + | 0.0210399i | ||||
\(179\) | −6.88303 | + | 19.8872i | −0.514462 | + | 1.48644i | 0.326422 | + | 0.945224i | \(0.394157\pi\) |
−0.840884 | + | 0.541216i | \(0.817964\pi\) | |||||||
\(180\) | −3.71229 | + | 3.53966i | −0.276698 | + | 0.263831i | ||||
\(181\) | 8.22307 | + | 18.0060i | 0.611216 | + | 1.33838i | 0.921739 | + | 0.387810i | \(0.126768\pi\) |
−0.310524 | + | 0.950566i | \(0.600504\pi\) | |||||||
\(182\) | −0.200012 | − | 0.745140i | −0.0148259 | − | 0.0552334i | ||||
\(183\) | − | 0.128365i | − | 0.00948902i | ||||||
\(184\) | −1.03660 | + | 0.516290i | −0.0764188 | + | 0.0380614i | ||||
\(185\) | −20.1601 | + | 11.6394i | −1.48220 | + | 0.855747i | ||||
\(186\) | −0.0673731 | + | 0.0269721i | −0.00494003 | + | 0.00197769i | ||||
\(187\) | −0.614771 | + | 6.43817i | −0.0449565 | + | 0.470806i | ||||
\(188\) | 5.42219 | − | 18.4663i | 0.395454 | − | 1.34679i | ||||
\(189\) | −0.189909 | − | 2.63893i | −0.0138139 | − | 0.191954i | ||||
\(190\) | 0.995250 | − | 0.292232i | 0.0722030 | − | 0.0212007i | ||||
\(191\) | −2.38731 | − | 4.63073i | −0.172739 | − | 0.335068i | 0.786534 | − | 0.617547i | \(-0.211873\pi\) |
−0.959273 | + | 0.282479i | \(0.908843\pi\) | |||||||
\(192\) | 0.752132 | + | 7.87668i | 0.0542805 | + | 0.568451i | ||||
\(193\) | −12.6564 | − | 2.43933i | −0.911029 | − | 0.175587i | −0.287859 | − | 0.957673i | \(-0.592943\pi\) |
−0.623170 | + | 0.782086i | \(0.714156\pi\) | |||||||
\(194\) | 0.00111970 | + | 0.0235053i | 8.03895e−5 | + | 0.00168758i | ||||
\(195\) | −1.76471 | − | 12.2738i | −0.126373 | − | 0.878945i | ||||
\(196\) | −11.3904 | − | 8.09593i | −0.813599 | − | 0.578281i | ||||
\(197\) | −10.5086 | + | 6.75349i | −0.748710 | + | 0.481166i | −0.858516 | − | 0.512787i | \(-0.828613\pi\) |
0.109807 | + | 0.993953i | \(0.464977\pi\) | |||||||
\(198\) | 0.0596556 | − | 0.0206470i | 0.00423954 | − | 0.00146732i | ||||
\(199\) | 6.64474 | − | 0.634496i | 0.471033 | − | 0.0449782i | 0.143159 | − | 0.989700i | \(-0.454274\pi\) |
0.327874 | + | 0.944721i | \(0.393668\pi\) | |||||||
\(200\) | 0.0184025 | − | 0.386316i | 0.00130125 | − | 0.0273167i | ||||
\(201\) | 3.57316 | − | 14.7288i | 0.252031 | − | 1.03889i | ||||
\(202\) | −0.101745 | + | 0.0881626i | −0.00715875 | + | 0.00620310i | ||||
\(203\) | 17.7741 | − | 13.3177i | 1.24750 | − | 0.934723i | ||||
\(204\) | −11.2413 | + | 5.13374i | −0.787051 | + | 0.359434i | ||||
\(205\) | −8.22681 | + | 10.4612i | −0.574585 | + | 0.730644i | ||||
\(206\) | −0.286505 | − | 0.496242i | −0.0199618 | − | 0.0345748i | ||||
\(207\) | 1.63141 | − | 4.50982i | 0.113391 | − | 0.313454i | ||||
\(208\) | −16.6266 | − | 9.59936i | −1.15285 | − | 0.665596i | ||||
\(209\) | 6.90936 | + | 0.993416i | 0.477931 | + | 0.0687160i | ||||
\(210\) | 0.304056 | + | 0.276160i | 0.0209819 | + | 0.0190569i | ||||
\(211\) | −8.74537 | − | 2.56787i | −0.602056 | − | 0.176780i | −0.0335203 | − | 0.999438i | \(-0.510672\pi\) |
−0.568536 | + | 0.822658i | \(0.692490\pi\) | |||||||
\(212\) | 1.26393 | + | 6.55791i | 0.0868073 | + | 0.450399i | ||||
\(213\) | 5.09189 | − | 5.34022i | 0.348891 | − | 0.365906i | ||||
\(214\) | −0.597750 | − | 0.0284744i | −0.0408614 | − | 0.00194647i | ||||
\(215\) | 4.58767 | − | 3.26686i | 0.312876 | − | 0.222798i | ||||
\(216\) | 0.182491 | + | 0.158130i | 0.0124170 | + | 0.0107594i | ||||
\(217\) | −1.38974 | − | 2.85770i | −0.0943420 | − | 0.193993i | ||||
\(218\) | −1.08675 | + | 0.156252i | −0.0736043 | + | 0.0105827i | ||||
\(219\) | −2.16422 | − | 0.866425i | −0.146245 | − | 0.0585475i | ||||
\(220\) | 2.45562 | − | 4.76324i | 0.165558 | − | 0.321138i | ||||
\(221\) | 5.65392 | − | 29.3353i | 0.380324 | − | 1.97331i | ||||
\(222\) | 0.317546 | + | 0.445930i | 0.0213123 | + | 0.0299289i | ||||
\(223\) | −14.6186 | + | 22.7471i | −0.978937 | + | 1.52326i | −0.132214 | + | 0.991221i | \(0.542209\pi\) |
−0.846723 | + | 0.532034i | \(0.821428\pi\) | |||||||
\(224\) | 1.88706 | − | 0.318180i | 0.126085 | − | 0.0212593i | ||||
\(225\) | 1.04886 | + | 1.21045i | 0.0699243 | + | 0.0806970i | ||||
\(226\) | −0.159881 | − | 0.167678i | −0.0106351 | − | 0.0111538i | ||||
\(227\) | −7.09909 | + | 9.96927i | −0.471183 | + | 0.661684i | −0.979955 | − | 0.199217i | \(-0.936160\pi\) |
0.508772 | + | 0.860901i | \(0.330099\pi\) | |||||||
\(228\) | 4.95733 | + | 12.3828i | 0.328307 | + | 0.820072i | ||||
\(229\) | −0.780189 | + | 1.35133i | −0.0515564 | + | 0.0892983i | −0.890652 | − | 0.454686i | \(-0.849752\pi\) |
0.839095 | + | 0.543984i | \(0.183085\pi\) | |||||||
\(230\) | 0.299851 | + | 0.681497i | 0.0197716 | + | 0.0449366i | ||||
\(231\) | 1.08924 | + | 2.54053i | 0.0716669 | + | 0.167154i | ||||
\(232\) | −0.288478 | + | 2.00641i | −0.0189395 | + | 0.131727i | ||||
\(233\) | 10.5422 | + | 1.00665i | 0.690640 | + | 0.0659481i | 0.434474 | − | 0.900685i | \(-0.356934\pi\) |
0.256166 | + | 0.966633i | \(0.417540\pi\) | |||||||
\(234\) | −0.283386 | + | 0.0687487i | −0.0185255 | + | 0.00449424i | ||||
\(235\) | −23.4078 | − | 8.10150i | −1.52695 | − | 0.528484i | ||||
\(236\) | 7.76834 | + | 1.88458i | 0.505676 | + | 0.122676i | ||||
\(237\) | 7.94282 | + | 5.10454i | 0.515942 | + | 0.331575i | ||||
\(238\) | 0.474654 | + | 0.868353i | 0.0307672 | + | 0.0562870i | ||||
\(239\) | −13.8698 | + | 16.0066i | −0.897162 | + | 1.03538i | 0.102014 | + | 0.994783i | \(0.467471\pi\) |
−0.999176 | + | 0.0405970i | \(0.987074\pi\) | |||||||
\(240\) | 10.2097 | − | 0.486346i | 0.659030 | − | 0.0313935i | ||||
\(241\) | 5.37337 | − | 4.22566i | 0.346129 | − | 0.272199i | −0.429926 | − | 0.902864i | \(-0.641460\pi\) |
0.776055 | + | 0.630665i | \(0.217218\pi\) | |||||||
\(242\) | 0.470608 | − | 0.370090i | 0.0302518 | − | 0.0237903i | ||||
\(243\) | −0.998867 | + | 0.0475819i | −0.0640774 | + | 0.00305238i | ||||
\(244\) | −0.167816 | + | 0.193670i | −0.0107433 | + | 0.0123984i | ||||
\(245\) | −11.1055 | + | 14.1474i | −0.709503 | + | 0.903846i | ||||
\(246\) | 0.263289 | + | 0.169205i | 0.0167867 | + | 0.0107881i | ||||
\(247\) | −31.3358 | − | 7.60198i | −1.99385 | − | 0.483702i | ||||
\(248\) | 0.274070 | + | 0.0948566i | 0.0174035 | + | 0.00602340i | ||||
\(249\) | −6.01282 | + | 1.45869i | −0.381047 | + | 0.0924410i | ||||
\(250\) | 0.525198 | + | 0.0501503i | 0.0332164 | + | 0.00317179i | ||||
\(251\) | −3.63793 | + | 25.3024i | −0.229624 | + | 1.59707i | 0.470069 | + | 0.882630i | \(0.344229\pi\) |
−0.699694 | + | 0.714443i | \(0.746680\pi\) | |||||||
\(252\) | −3.16343 | + | 4.22973i | −0.199277 | + | 0.266448i | ||||
\(253\) | −0.0696519 | + | 5.01003i | −0.00437898 | + | 0.314978i | ||||
\(254\) | −0.444100 | + | 0.769204i | −0.0278653 | + | 0.0482641i | ||||
\(255\) | 5.91141 | + | 14.7660i | 0.370187 | + | 0.924681i | ||||
\(256\) | 9.11196 | − | 12.7960i | 0.569497 | − | 0.799747i | ||||
\(257\) | −3.66601 | − | 3.84481i | −0.228680 | − | 0.239832i | 0.599391 | − | 0.800457i | \(-0.295410\pi\) |
−0.828070 | + | 0.560624i | \(0.810561\pi\) | |||||||
\(258\) | −0.0867328 | − | 0.100095i | −0.00539975 | − | 0.00623164i | ||||
\(259\) | −18.4777 | + | 15.2702i | −1.14815 | + | 0.948842i | ||||
\(260\) | −13.3834 | + | 20.8250i | −0.830005 | + | 1.29151i | ||||
\(261\) | −4.86932 | − | 6.83801i | −0.301404 | − | 0.423262i | ||||
\(262\) | 0.201123 | − | 1.04352i | 0.0124254 | − | 0.0644690i | ||||
\(263\) | −3.91788 | + | 7.59962i | −0.241587 | + | 0.468613i | −0.978190 | − | 0.207712i | \(-0.933398\pi\) |
0.736603 | + | 0.676325i | \(0.236429\pi\) | |||||||
\(264\) | −0.234208 | − | 0.0937629i | −0.0144145 | − | 0.00577071i | ||||
\(265\) | 8.50810 | − | 1.22328i | 0.522648 | − | 0.0751455i | ||||
\(266\) | 0.960540 | − | 0.467125i | 0.0588945 | − | 0.0286413i | ||||
\(267\) | 5.08781 | + | 4.40861i | 0.311369 | + | 0.269803i | ||||
\(268\) | −24.6463 | + | 17.5506i | −1.50552 | + | 1.07207i | ||||
\(269\) | 17.1266 | + | 0.815842i | 1.04423 | + | 0.0497428i | 0.562679 | − | 0.826676i | \(-0.309771\pi\) |
0.481551 | + | 0.876418i | \(0.340074\pi\) | |||||||
\(270\) | 0.107134 | − | 0.112359i | 0.00651995 | − | 0.00683793i | ||||
\(271\) | 0.0809631 | + | 0.420076i | 0.00491816 | + | 0.0255178i | 0.984305 | − | 0.176476i | \(-0.0564699\pi\) |
−0.979387 | + | 0.201994i | \(0.935258\pi\) | |||||||
\(272\) | 23.6284 | + | 6.93792i | 1.43268 | + | 0.420673i | ||||
\(273\) | −3.89324 | − | 12.1606i | −0.235630 | − | 0.735994i | ||||
\(274\) | −0.724403 | − | 0.104153i | −0.0437628 | − | 0.00629214i | ||||
\(275\) | −1.44917 | − | 0.836679i | −0.0873882 | − | 0.0504536i | ||||
\(276\) | −8.35721 | + | 4.67135i | −0.503045 | + | 0.281182i | ||||
\(277\) | −8.57764 | − | 14.8569i | −0.515380 | − | 0.892665i | −0.999841 | − | 0.0178517i | \(-0.994317\pi\) |
0.484460 | − | 0.874813i | \(-0.339016\pi\) | |||||||
\(278\) | −0.477739 | + | 0.607494i | −0.0286529 | + | 0.0364351i | ||||
\(279\) | −1.09252 | + | 0.498939i | −0.0654077 | + | 0.0298707i | ||||
\(280\) | −0.195595 | − | 1.62980i | −0.0116891 | − | 0.0973992i | ||||
\(281\) | −1.18107 | + | 1.02340i | −0.0704565 | + | 0.0610509i | −0.689377 | − | 0.724403i | \(-0.742116\pi\) |
0.618921 | + | 0.785454i | \(0.287570\pi\) | |||||||
\(282\) | −0.137331 | + | 0.566088i | −0.00817797 | + | 0.0337100i | ||||
\(283\) | 0.448173 | − | 9.40831i | 0.0266411 | − | 0.559266i | −0.945607 | − | 0.325312i | \(-0.894531\pi\) |
0.972248 | − | 0.233954i | \(-0.0751664\pi\) | |||||||
\(284\) | −14.6638 | + | 1.40022i | −0.870135 | + | 0.0830878i | ||||
\(285\) | 16.2226 | − | 5.61471i | 0.960947 | − | 0.332587i | ||||
\(286\) | 0.256296 | − | 0.164711i | 0.0151551 | − | 0.00973958i | ||||
\(287\) | −6.56242 | + | 12.0308i | −0.387367 | + | 0.710154i | ||||
\(288\) | −0.102938 | − | 0.715947i | −0.00606566 | − | 0.0421876i | ||||
\(289\) | 1.01447 | + | 21.2963i | 0.0596747 | + | 1.25273i | ||||
\(290\) | 1.27969 | + | 0.246640i | 0.0751461 | + | 0.0144832i | ||||
\(291\) | 0.0370201 | + | 0.387692i | 0.00217015 | + | 0.0227269i | ||||
\(292\) | 2.13255 | + | 4.13657i | 0.124798 | + | 0.242074i | ||||
\(293\) | 3.60747 | − | 1.05925i | 0.210750 | − | 0.0618819i | −0.174653 | − | 0.984630i | \(-0.555880\pi\) |
0.385404 | + | 0.922748i | \(0.374062\pi\) | |||||||
\(294\) | 0.356018 | + | 0.228355i | 0.0207634 | + | 0.0133180i | ||||
\(295\) | 2.89850 | − | 9.87139i | 0.168757 | − | 0.574734i | ||||
\(296\) | 0.207959 | − | 2.17785i | 0.0120874 | − | 0.126585i | ||||
\(297\) | 0.969925 | − | 0.388299i | 0.0562808 | − | 0.0225314i | ||||
\(298\) | 0.743731 | − | 0.429393i | 0.0430832 | − | 0.0248741i | ||||
\(299\) | 2.52016 | − | 23.0075i | 0.145745 | − | 1.33056i | ||||
\(300\) | − | 3.19747i | − | 0.184606i | ||||||
\(301\) | 4.09898 | − | 4.10260i | 0.236261 | − | 0.236470i | ||||
\(302\) | 0.190185 | + | 0.416448i | 0.0109439 | + | 0.0239639i | ||||
\(303\) | −1.61255 | + | 1.53756i | −0.0926386 | + | 0.0883308i | ||||
\(304\) | 8.69316 | − | 25.1172i | 0.498587 | − | 1.44057i | ||||
\(305\) | 0.238700 | + | 0.227600i | 0.0136679 | + | 0.0130323i | ||||
\(306\) | 0.332459 | − | 0.171394i | 0.0190054 | − | 0.00979796i | ||||
\(307\) | −20.1407 | − | 9.19793i | −1.14949 | − | 0.524954i | −0.252757 | − | 0.967530i | \(-0.581337\pi\) |
−0.896731 | + | 0.442576i | \(0.854065\pi\) | |||||||
\(308\) | 1.67792 | − | 5.25699i | 0.0956086 | − | 0.299545i | ||||
\(309\) | −5.12709 | − | 7.97791i | −0.291670 | − | 0.453847i | ||||
\(310\) | 0.0693013 | − | 0.173106i | 0.00393605 | − | 0.00983178i | ||||
\(311\) | 7.01216 | + | 8.91668i | 0.397623 | + | 0.505619i | 0.943101 | − | 0.332506i | \(-0.107894\pi\) |
−0.545478 | + | 0.838125i | \(0.683652\pi\) | |||||||
\(312\) | 1.03581 | + | 0.533998i | 0.0586413 | + | 0.0302317i | ||||
\(313\) | 0.657481 | + | 1.89967i | 0.0371630 | + | 0.107376i | 0.962056 | − | 0.272852i | \(-0.0879669\pi\) |
−0.924893 | + | 0.380227i | \(0.875846\pi\) | |||||||
\(314\) | −0.102013 | + | 0.223378i | −0.00575695 | + | 0.0126060i | ||||
\(315\) | 5.24391 | + | 4.32585i | 0.295461 | + | 0.243734i | ||||
\(316\) | −5.31033 | − | 18.0853i | −0.298729 | − | 1.01738i | ||||
\(317\) | 29.3532 | − | 5.65736i | 1.64864 | − | 0.317749i | 0.721484 | − | 0.692431i | \(-0.243460\pi\) |
0.927153 | + | 0.374682i | \(0.122248\pi\) | |||||||
\(318\) | −0.0476560 | − | 0.196441i | −0.00267242 | − | 0.0110159i | ||||
\(319\) | 7.14410 | + | 5.08729i | 0.399993 | + | 0.284834i | ||||
\(320\) | −15.9806 | − | 12.5673i | −0.893342 | − | 0.702532i | ||||
\(321\) | −9.90401 | −0.552788 | ||||||||
\(322\) | 0.421144 | + | 0.640652i | 0.0234695 | + | 0.0357021i | ||||
\(323\) | 41.3598 | 2.30132 | ||||||||
\(324\) | 1.56924 | + | 1.23406i | 0.0871798 | + | 0.0685590i | ||||
\(325\) | 6.29648 | + | 4.48370i | 0.349266 | + | 0.248711i | ||||
\(326\) | −0.0519203 | − | 0.214018i | −0.00287560 | − | 0.0118534i | ||||
\(327\) | −17.8424 | + | 3.43884i | −0.986687 | + | 0.190168i | ||||
\(328\) | −0.352376 | − | 1.20008i | −0.0194567 | − | 0.0662634i | ||||
\(329\) | −25.1552 | − | 4.21865i | −1.38685 | − | 0.232581i | ||||
\(330\) | −0.0673795 | + | 0.147541i | −0.00370912 | + | 0.00812184i | ||||
\(331\) | −4.25376 | − | 12.2904i | −0.233808 | − | 0.675543i | −0.999478 | − | 0.0323099i | \(-0.989714\pi\) |
0.765670 | − | 0.643234i | \(-0.222408\pi\) | |||||||
\(332\) | 10.9788 | + | 5.65996i | 0.602539 | + | 0.310630i | ||||
\(333\) | 5.60060 | + | 7.12175i | 0.306911 | + | 0.390269i | ||||
\(334\) | 0.463831 | − | 1.15859i | 0.0253797 | − | 0.0633954i | ||||
\(335\) | 21.0533 | + | 32.7596i | 1.15026 | + | 1.78985i | ||||
\(336\) | 10.2836 | − | 2.24180i | 0.561014 | − | 0.122300i | ||||
\(337\) | −8.22599 | − | 3.75668i | −0.448098 | − | 0.204640i | 0.178568 | − | 0.983928i | \(-0.442854\pi\) |
−0.626666 | + | 0.779288i | \(0.715581\pi\) | |||||||
\(338\) | −0.552696 | + | 0.284935i | −0.0300627 | + | 0.0154984i | ||||
\(339\) | −2.77508 | − | 2.64603i | −0.150722 | − | 0.143713i | ||||
\(340\) | 10.3852 | − | 30.0062i | 0.563219 | − | 1.62731i | ||||
\(341\) | 0.908160 | − | 0.865929i | 0.0491796 | − | 0.0468927i | ||||
\(342\) | −0.167705 | − | 0.367223i | −0.00906845 | − | 0.0198571i | ||||
\(343\) | −8.85431 | + | 16.2666i | −0.478088 | + | 0.878312i | ||||
\(344\) | 0.529295i | 0.0285377i | ||||||||
\(345\) | 5.49359 | + | 11.0299i | 0.295765 | + | 0.593830i | ||||
\(346\) | −0.524021 | + | 0.302544i | −0.0281715 | + | 0.0162648i | ||||
\(347\) | −4.77649 | + | 1.91222i | −0.256416 | + | 0.102653i | −0.496309 | − | 0.868146i | \(-0.665312\pi\) |
0.239893 | + | 0.970799i | \(0.422887\pi\) | |||||||
\(348\) | −1.59299 | + | 16.6826i | −0.0853935 | + | 0.894281i | ||||
\(349\) | 7.90334 | − | 26.9163i | 0.423056 | − | 1.44080i | −0.422233 | − | 0.906487i | \(-0.638753\pi\) |
0.845289 | − | 0.534310i | \(-0.179428\pi\) | |||||||
\(350\) | −0.255387 | + | 0.0183788i | −0.0136510 | + | 0.000982389i | ||||
\(351\) | −4.63060 | + | 1.35967i | −0.247163 | + | 0.0725737i | ||||
\(352\) | 0.346276 | + | 0.671682i | 0.0184566 | + | 0.0358008i | ||||
\(353\) | −2.08899 | − | 21.8768i | −0.111185 | − | 1.16439i | −0.863067 | − | 0.505089i | \(-0.831460\pi\) |
0.751882 | − | 0.659298i | \(-0.229146\pi\) | |||||||
\(354\) | −0.237569 | − | 0.0457878i | −0.0126267 | − | 0.00243359i | ||||
\(355\) | 0.902088 | + | 18.9372i | 0.0478779 | + | 1.00508i | ||||
\(356\) | −1.91267 | − | 13.3029i | −0.101371 | − | 0.705053i | ||||
\(357\) | 8.53046 | + | 13.9812i | 0.451480 | + | 0.739965i | ||||
\(358\) | −1.06972 | + | 0.687466i | −0.0565364 | + | 0.0363337i | ||||
\(359\) | −6.96779 | + | 2.41158i | −0.367746 | + | 0.127278i | −0.504690 | − | 0.863301i | \(-0.668393\pi\) |
0.136944 | + | 0.990579i | \(0.456272\pi\) | |||||||
\(360\) | −0.617618 | + | 0.0589754i | −0.0325513 | + | 0.00310827i | ||||
\(361\) | 1.22001 | − | 25.6111i | 0.0642110 | − | 1.34795i | ||||
\(362\) | −0.281981 | + | 1.16234i | −0.0148206 | + | 0.0610914i | ||||
\(363\) | 7.48832 | − | 6.48867i | 0.393035 | − | 0.340567i | ||||
\(364\) | −10.0241 | + | 23.4370i | −0.525404 | + | 1.22843i | ||||
\(365\) | 5.44847 | − | 2.48823i | 0.285186 | − | 0.130240i | ||||
\(366\) | 0.00479455 | − | 0.00609677i | 0.000250615 | − | 0.000318683i | ||||
\(367\) | −11.1952 | − | 19.3906i | −0.584384 | − | 1.01218i | −0.994952 | − | 0.100353i | \(-0.968003\pi\) |
0.410568 | − | 0.911830i | \(-0.365330\pi\) | |||||||
\(368\) | 18.6816 | + | 3.87067i | 0.973844 | + | 0.201773i | ||||
\(369\) | 4.48575 | + | 2.58985i | 0.233519 | + | 0.134822i | ||||
\(370\) | −1.39226 | − | 0.200176i | −0.0723799 | − | 0.0104067i | ||||
\(371\) | 8.42965 | − | 2.69876i | 0.437645 | − | 0.140113i | ||||
\(372\) | 2.30061 | + | 0.675521i | 0.119281 | + | 0.0350241i | ||||
\(373\) | −2.82964 | − | 14.6816i | −0.146513 | − | 0.760184i | −0.978637 | − | 0.205594i | \(-0.934087\pi\) |
0.832124 | − | 0.554590i | \(-0.187125\pi\) | |||||||
\(374\) | −0.269670 | + | 0.282822i | −0.0139443 | + | 0.0146244i | ||||
\(375\) | 8.72170 | + | 0.415466i | 0.450387 | + | 0.0214546i | ||||
\(376\) | 1.89626 | − | 1.35032i | 0.0977919 | − | 0.0696373i | ||||
\(377\) | −30.6176 | − | 26.5303i | −1.57689 | − | 1.36638i | ||||
\(378\) | 0.0895464 | − | 0.132430i | 0.00460577 | − | 0.00681149i | ||||
\(379\) | 24.7358 | − | 3.55647i | 1.27059 | − | 0.182684i | 0.526163 | − | 0.850384i | \(-0.323630\pi\) |
0.744430 | + | 0.667700i | \(0.232721\pi\) | |||||||
\(380\) | −31.8160 | − | 12.7372i | −1.63213 | − | 0.653406i | ||||
\(381\) | −6.73581 | + | 13.0657i | −0.345086 | + | 0.669374i | ||||
\(382\) | 0.0595755 | − | 0.309107i | 0.00304815 | − | 0.0158153i | ||||
\(383\) | 6.86414 | + | 9.63933i | 0.350741 | + | 0.492547i | 0.951826 | − | 0.306638i | \(-0.0992041\pi\) |
−0.601085 | + | 0.799185i | \(0.705265\pi\) | |||||||
\(384\) | −1.04058 | + | 1.61917i | −0.0531019 | + | 0.0826281i | ||||
\(385\) | −6.65551 | − | 2.47904i | −0.339196 | − | 0.126343i | ||||
\(386\) | −0.510013 | − | 0.588586i | −0.0259590 | − | 0.0299582i | ||||
\(387\) | −1.51263 | − | 1.58640i | −0.0768913 | − | 0.0806412i | ||||
\(388\) | 0.450988 | − | 0.633323i | 0.0228954 | − | 0.0321521i | ||||
\(389\) | 6.80797 | + | 17.0055i | 0.345178 | + | 0.862213i | 0.994790 | + | 0.101947i | \(0.0325072\pi\) |
−0.649612 | + | 0.760266i | \(0.725069\pi\) | |||||||
\(390\) | 0.374622 | − | 0.648864i | 0.0189697 | − | 0.0328565i | ||||
\(391\) | 3.81612 | + | 29.4416i | 0.192990 | + | 1.48893i | ||||
\(392\) | −0.477641 | − | 1.62140i | −0.0241245 | − | 0.0818933i | ||||
\(393\) | 2.50306 | − | 17.4092i | 0.126263 | − | 0.878176i | ||||
\(394\) | −0.751362 | − | 0.0717464i | −0.0378531 | − | 0.00361453i | ||||
\(395\) | −23.5753 | + | 5.71930i | −1.18620 | + | 0.287769i | ||||
\(396\) | −1.97100 | − | 0.682170i | −0.0990465 | − | 0.0342803i | ||||
\(397\) | 26.7048 | + | 6.47852i | 1.34028 | + | 0.325148i | 0.840878 | − | 0.541224i | \(-0.182039\pi\) |
0.499399 | + | 0.866372i | \(0.333554\pi\) | |||||||
\(398\) | 0.339294 | + | 0.218051i | 0.0170073 | + | 0.0109299i | ||||
\(399\) | 15.5111 | − | 8.47859i | 0.776527 | − | 0.424460i | ||||
\(400\) | −4.17250 | + | 4.81532i | −0.208625 | + | 0.240766i | ||||
\(401\) | 8.40110 | − | 0.400194i | 0.419531 | − | 0.0199847i | 0.163245 | − | 0.986586i | \(-0.447804\pi\) |
0.256286 | + | 0.966601i | \(0.417501\pi\) | |||||||
\(402\) | 0.719842 | − | 0.566090i | 0.0359025 | − | 0.0282340i | ||||
\(403\) | −4.55631 | + | 3.58312i | −0.226966 | + | 0.178488i | ||||
\(404\) | 4.44302 | − | 0.211647i | 0.221049 | − | 0.0105298i | ||||
\(405\) | 1.68258 | − | 1.94180i | 0.0836080 | − | 0.0964888i | ||||
\(406\) | 1.34162 | + | 0.0313447i | 0.0665835 | + | 0.00155561i | ||||
\(407\) | −7.96306 | − | 5.11755i | −0.394714 | − | 0.253667i | ||||
\(408\) | −1.45265 | − | 0.352410i | −0.0719170 | − | 0.0174469i | ||||
\(409\) | −16.6608 | − | 5.76635i | −0.823823 | − | 0.285128i | −0.117549 | − | 0.993067i | \(-0.537504\pi\) |
−0.706273 | + | 0.707939i | \(0.749625\pi\) | |||||||
\(410\) | −0.781473 | + | 0.189583i | −0.0385942 | + | 0.00936285i | ||||
\(411\) | −12.0573 | − | 1.15134i | −0.594745 | − | 0.0567913i | ||||
\(412\) | −2.69432 | + | 18.7394i | −0.132739 | + | 0.923223i | ||||
\(413\) | 1.25307 | − | 10.5196i | 0.0616595 | − | 0.517636i | ||||
\(414\) | 0.245931 | − | 0.153262i | 0.0120868 | − | 0.00753240i | ||||
\(415\) | 7.94864 | − | 13.7675i | 0.390183 | − | 0.675818i | ||||
\(416\) | −1.29738 | − | 3.24071i | −0.0636095 | − | 0.158889i | ||||
\(417\) | −7.41925 | + | 10.4189i | −0.363322 | + | 0.510215i | ||||
\(418\) | 0.291059 | + | 0.305254i | 0.0142362 | + | 0.0149304i | ||||
\(419\) | 2.38491 | + | 2.75233i | 0.116510 | + | 0.134460i | 0.811008 | − | 0.585034i | \(-0.198919\pi\) |
−0.694498 | + | 0.719495i | \(0.744374\pi\) | |||||||
\(420\) | −2.25638 | − | 13.3821i | −0.110100 | − | 0.652980i | ||||
\(421\) | 9.51159 | − | 14.8003i | 0.463567 | − | 0.721324i | −0.528237 | − | 0.849097i | \(-0.677147\pi\) |
0.991803 | + | 0.127773i | \(0.0407830\pi\) | |||||||
\(422\) | −0.319454 | − | 0.448610i | −0.0155508 | − | 0.0218380i | ||||
\(423\) | −1.82448 | + | 9.46632i | −0.0887094 | + | 0.460268i | ||||
\(424\) | −0.370163 | + | 0.718017i | −0.0179767 | + | 0.0348700i | ||||
\(425\) | −9.20463 | − | 3.68498i | −0.446490 | − | 0.178748i | ||||
\(426\) | 0.441304 | − | 0.0634500i | 0.0213813 | − | 0.00307416i | ||||
\(427\) | 0.281342 | + | 0.190237i | 0.0136151 | + | 0.00920620i | ||||
\(428\) | 14.9426 | + | 12.9478i | 0.722277 | + | 0.625857i | ||||
\(429\) | 4.10719 | − | 2.92472i | 0.198297 | − | 0.141207i | ||||
\(430\) | 0.339914 | + | 0.0161921i | 0.0163921 | + | 0.000780852i | ||||
\(431\) | −20.4820 | + | 21.4809i | −0.986583 | + | 1.03470i | 0.0128115 | + | 0.999918i | \(0.495922\pi\) |
−0.999395 | + | 0.0347810i | \(0.988927\pi\) | |||||||
\(432\) | −0.752862 | − | 3.90622i | −0.0362221 | − | 0.187938i | ||||
\(433\) | 1.62265 | + | 0.476454i | 0.0779797 | + | 0.0228969i | 0.320490 | − | 0.947252i | \(-0.396153\pi\) |
−0.242510 | + | 0.970149i | \(0.577971\pi\) | |||||||
\(434\) | 0.0407311 | − | 0.187636i | 0.00195516 | − | 0.00900683i | ||||
\(435\) | 21.3492 | + | 3.06955i | 1.02362 | + | 0.147174i | ||||
\(436\) | 31.4153 | + | 18.1376i | 1.50452 | + | 0.868634i | ||||
\(437\) | 31.9367 | − | 2.60213i | 1.52774 | − | 0.124477i | ||||
\(438\) | −0.0704292 | − | 0.121987i | −0.00336524 | − | 0.00582876i | ||||
\(439\) | −11.3041 | + | 14.3743i | −0.539514 | + | 0.686047i | −0.977015 | − | 0.213170i | \(-0.931621\pi\) |
0.437501 | + | 0.899218i | \(0.355863\pi\) | |||||||
\(440\) | 0.589623 | − | 0.269272i | 0.0281092 | − | 0.0128370i | ||||
\(441\) | 6.06526 | + | 3.49465i | 0.288822 | + | 0.166412i | ||||
\(442\) | 1.36424 | − | 1.18212i | 0.0648901 | − | 0.0562276i | ||||
\(443\) | −0.634680 | + | 2.61618i | −0.0301545 | + | 0.124299i | −0.984900 | − | 0.173127i | \(-0.944613\pi\) |
0.954745 | + | 0.297426i | \(0.0961280\pi\) | |||||||
\(444\) | 0.860623 | − | 18.0667i | 0.0408434 | − | 0.857408i | ||||
\(445\) | −17.2190 | + | 1.64422i | −0.816261 | + | 0.0779434i | ||||
\(446\) | −1.54394 | + | 0.534364i | −0.0731078 | + | 0.0253029i | ||||
\(447\) | 11.9567 | − | 7.68410i | 0.565532 | − | 0.363446i | ||||
\(448\) | −18.3782 | − | 10.0248i | −0.868290 | − | 0.473625i | ||||
\(449\) | −4.65798 | − | 32.3970i | −0.219824 | − | 1.52891i | −0.738685 | − | 0.674050i | \(-0.764553\pi\) |
0.518861 | − | 0.854858i | \(-0.326356\pi\) | |||||||
\(450\) | 0.00460483 | + | 0.0966672i | 0.000217074 | + | 0.00455694i | ||||
\(451\) | −5.31377 | − | 1.02414i | −0.250216 | − | 0.0482251i | ||||
\(452\) | 0.727633 | + | 7.62012i | 0.0342250 | + | 0.358420i | ||||
\(453\) | 3.47196 | + | 6.73466i | 0.163127 | + | 0.316422i | ||||
\(454\) | −0.709536 | + | 0.208339i | −0.0333002 | + | 0.00977782i | ||||
\(455\) | 29.5161 | + | 14.3220i | 1.38374 | + | 0.671425i | ||||
\(456\) | −0.454532 | + | 1.54799i | −0.0212854 | + | 0.0724914i | ||||
\(457\) | 0.473715 | − | 4.96096i | 0.0221594 | − | 0.232064i | −0.977607 | − | 0.210440i | \(-0.932510\pi\) |
0.999766 | − | 0.0216240i | \(-0.00688366\pi\) | |||||||
\(458\) | −0.0875288 | + | 0.0350412i | −0.00408995 | + | 0.00163737i | ||||
\(459\) | 5.36100 | − | 3.09518i | 0.250230 | − | 0.144470i | ||||
\(460\) | 6.13132 | − | 23.8232i | 0.285874 | − | 1.11076i | ||||
\(461\) | 9.45008i | 0.440134i | 0.975485 | + | 0.220067i | \(0.0706276\pi\) | ||||
−0.975485 | + | 0.220067i | \(0.929372\pi\) | |||||||
\(462\) | −0.0431568 | + | 0.161348i | −0.00200783 | + | 0.00750658i | ||||
\(463\) | 10.5113 | + | 23.0165i | 0.488501 | + | 1.06967i | 0.980038 | + | 0.198811i | \(0.0637080\pi\) |
−0.491537 | + | 0.870857i | \(0.663565\pi\) | |||||||
\(464\) | 24.1687 | − | 23.0448i | 1.12200 | − | 1.06983i | ||||
\(465\) | 1.00932 | − | 2.91625i | 0.0468062 | − | 0.135238i | ||||
\(466\) | 0.463106 | + | 0.441571i | 0.0214530 | + | 0.0204554i | ||||
\(467\) | −34.8924 | + | 17.9883i | −1.61463 | + | 0.832398i | −0.615611 | + | 0.788050i | \(0.711091\pi\) |
−0.999016 | + | 0.0443480i | \(0.985879\pi\) | |||||||
\(468\) | 8.76391 | + | 4.00234i | 0.405112 | + | 0.185008i | ||||
\(469\) | 26.9861 | + | 29.6594i | 1.24610 | + | 1.36954i | ||||
\(470\) | −0.809165 | − | 1.25909i | −0.0373240 | − | 0.0580773i | ||||
\(471\) | −1.51051 | + | 3.77307i | −0.0696006 | + | 0.173854i | ||||
\(472\) | 0.597688 | + | 0.760022i | 0.0275108 | + | 0.0349828i | ||||
\(473\) | 2.03551 | + | 1.04938i | 0.0935928 | + | 0.0482505i | ||||
\(474\) | 0.186589 | + | 0.539114i | 0.00857033 | + | 0.0247623i | ||||
\(475\) | −4.44545 | + | 9.73418i | −0.203971 | + | 0.446635i | ||||
\(476\) | 5.40784 | − | 32.2462i | 0.247868 | − | 1.47800i | ||||
\(477\) | −0.942510 | − | 3.20990i | −0.0431546 | − | 0.146971i | ||||
\(478\) | −1.25661 | + | 0.242192i | −0.0574761 | + | 0.0110776i | ||||
\(479\) | 5.27644 | + | 21.7498i | 0.241087 | + | 0.993773i | 0.955721 | + | 0.294275i | \(0.0950780\pi\) |
−0.714634 | + | 0.699498i | \(0.753407\pi\) | |||||||
\(480\) | 1.51385 | + | 1.07801i | 0.0690974 | + | 0.0492040i | ||||
\(481\) | 34.3702 | + | 27.0290i | 1.56715 | + | 1.23242i | ||||
\(482\) | 0.413043 | 0.0188136 | ||||||||
\(483\) | 7.46657 | + | 10.2592i | 0.339741 | + | 0.466808i | ||||
\(484\) | −19.7808 | −0.899126 | ||||||||
\(485\) | −0.786567 | − | 0.618563i | −0.0357162 | − | 0.0280875i | ||||
\(486\) | −0.0492190 | − | 0.0350487i | −0.00223262 | − | 0.00158984i | ||||
\(487\) | −4.96114 | − | 20.4501i | −0.224811 | − | 0.926683i | −0.966649 | − | 0.256104i | \(-0.917561\pi\) |
0.741838 | − | 0.670579i | \(-0.233954\pi\) | |||||||
\(488\) | −0.0304363 | + | 0.00586611i | −0.00137778 | + | 0.000265546i | ||||
\(489\) | −1.02684 | − | 3.49711i | −0.0464355 | − | 0.158145i | ||||
\(490\) | −1.05588 | + | 0.257140i | −0.0476998 | + | 0.0116164i | ||||
\(491\) | 13.9701 | − | 30.5902i | 0.630461 | − | 1.38052i | −0.277199 | − | 0.960812i | \(-0.589406\pi\) |
0.907661 | − | 0.419705i | \(-0.137867\pi\) | |||||||
\(492\) | −3.38204 | − | 9.77177i | −0.152474 | − | 0.440545i | ||||
\(493\) | 46.1886 | + | 23.8119i | 2.08023 | + | 1.07243i | ||||
\(494\) | −1.20437 | − | 1.53148i | −0.0541871 | − | 0.0689045i | ||||
\(495\) | −0.997685 | + | 2.49210i | −0.0448426 | + | 0.112011i | ||||
\(496\) | −2.58316 | − | 4.01947i | −0.115987 | − | 0.180480i | ||||
\(497\) | 4.15816 | + | 19.0743i | 0.186519 | + | 0.855597i | ||||
\(498\) | −0.340066 | − | 0.155303i | −0.0152387 | − | 0.00695929i | ||||
\(499\) | −13.5187 | + | 6.96937i | −0.605180 | + | 0.311992i | −0.733446 | − | 0.679748i | \(-0.762089\pi\) |
0.128266 | + | 0.991740i | \(0.459059\pi\) | |||||||
\(500\) | −12.6156 | − | 12.0290i | −0.564188 | − | 0.537952i | ||||
\(501\) | 6.75536 | − | 19.5183i | 0.301807 | − | 0.872014i | ||||
\(502\) | −1.11785 | + | 1.06587i | −0.0498922 | + | 0.0475721i | ||||
\(503\) | −7.73789 | − | 16.9436i | −0.345016 | − | 0.755479i | 0.654984 | − | 0.755642i | \(-0.272675\pi\) |
−1.00000 | 0.000163655i | \(0.999948\pi\) | ||||||||
\(504\) | −0.617029 | + | 0.165624i | −0.0274847 | + | 0.00737748i | ||||
\(505\) | − | 5.72481i | − | 0.254751i | ||||||
\(506\) | −0.190437 | + | 0.235352i | −0.00846596 | + | 0.0104627i | ||||
\(507\) | −8.91240 | + | 5.14558i | −0.395814 | + | 0.228523i | ||||
\(508\) | 27.2437 | − | 10.9067i | 1.20874 | − | 0.483908i | ||||
\(509\) | −1.02115 | + | 10.6939i | −0.0452616 | + | 0.474001i | 0.944217 | + | 0.329323i | \(0.106821\pi\) |
−0.989479 | + | 0.144678i | \(0.953785\pi\) | |||||||
\(510\) | −0.270757 | + | 0.922114i | −0.0119893 | + | 0.0408319i | ||||
\(511\) | 5.10634 | − | 3.45936i | 0.225891 | − | 0.153033i | ||||
\(512\) | 4.60422 | − | 1.35192i | 0.203480 | − | 0.0597470i | ||||
\(513\) | −3.06156 | − | 5.93860i | −0.135171 | − | 0.262196i | ||||
\(514\) | −0.0305124 | − | 0.319540i | −0.00134584 | − | 0.0140943i | ||||
\(515\) | 23.9259 | + | 4.61134i | 1.05430 | + | 0.203200i | ||||
\(516\) | 0.208215 | + | 4.37097i | 0.00916615 | + | 0.192421i | ||||
\(517\) | −1.43341 | − | 9.96956i | −0.0630411 | − | 0.438461i | ||||
\(518\) | −1.44796 | + | 0.0351067i | −0.0636198 | + | 0.00154250i | ||||
\(519\) | −8.42450 | + | 5.41410i | −0.369794 | + | 0.237652i | ||||
\(520\) | −2.82956 | + | 0.979319i | −0.124084 | + | 0.0429460i | ||||
\(521\) | −16.0148 | + | 1.52923i | −0.701621 | + | 0.0669966i | −0.439768 | − | 0.898111i | \(-0.644939\pi\) |
−0.261852 | + | 0.965108i | \(0.584333\pi\) | |||||||
\(522\) | 0.0241346 | − | 0.506648i | 0.00105634 | − | 0.0221754i | ||||
\(523\) | −8.49877 | + | 35.0324i | −0.371625 | + | 1.53186i | 0.412326 | + | 0.911037i | \(0.364717\pi\) |
−0.783951 | + | 0.620823i | \(0.786799\pi\) | |||||||
\(524\) | −26.5360 | + | 22.9936i | −1.15923 | + | 1.00448i | ||||
\(525\) | −4.20741 | + | 0.504938i | −0.183626 | + | 0.0220373i | ||||
\(526\) | −0.469934 | + | 0.214612i | −0.0204901 | + | 0.00935752i | ||||
\(527\) | 4.59601 | − | 5.84430i | 0.200205 | − | 0.254582i | ||||
\(528\) | 2.07809 | + | 3.59936i | 0.0904373 | + | 0.156642i | ||||
\(529\) | 4.79899 | + | 22.4938i | 0.208652 | + | 0.977990i | ||||
\(530\) | 0.449787 | + | 0.259685i | 0.0195375 | + | 0.0112800i | ||||
\(531\) | −3.96339 | − | 0.569849i | −0.171996 | − | 0.0247294i | ||||
\(532\) | −34.4866 | − | 7.48617i | −1.49518 | − | 0.324567i | ||||
\(533\) | 23.9851 | + | 7.04267i | 1.03891 | + | 0.305052i | ||||
\(534\) | 0.0769826 | + | 0.399424i | 0.00333136 | + | 0.0172848i | ||||
\(535\) | 17.5605 | − | 18.4169i | 0.759206 | − | 0.796233i | ||||
\(536\) | −3.65558 | − | 0.174137i | −0.157897 | − | 0.00752157i | ||||
\(537\) | −17.1425 | + | 12.2071i | −0.739752 | + | 0.526775i | ||||
\(538\) | 0.782966 | + | 0.678444i | 0.0337561 | + | 0.0292498i | ||||
\(539\) | −7.18240 | − | 1.37773i | −0.309368 | − | 0.0593429i | ||||
\(540\) | −5.07715 | + | 0.729984i | −0.218486 | + | 0.0314135i | ||||
\(541\) | 1.72591 | + | 0.690950i | 0.0742027 | + | 0.0297063i | 0.408467 | − | 0.912773i | \(-0.366064\pi\) |
−0.334264 | + | 0.942479i | \(0.608488\pi\) | |||||||
\(542\) | −0.0118448 | + | 0.0229758i | −0.000508779 | + | 0.000986895i | ||||
\(543\) | −3.74619 | + | 19.4371i | −0.160765 | + | 0.834126i | ||||
\(544\) | 2.59723 | + | 3.64730i | 0.111355 | + | 0.156377i | ||||
\(545\) | 25.2411 | − | 39.2760i | 1.08121 | − | 1.68240i | ||||
\(546\) | 0.269299 | − | 0.722991i | 0.0115249 | − | 0.0309412i | ||||
\(547\) | 11.5186 | + | 13.2932i | 0.492500 | + | 0.568375i | 0.946532 | − | 0.322610i | \(-0.104560\pi\) |
−0.454032 | + | 0.890985i | \(0.650015\pi\) | |||||||
\(548\) | 16.6862 | + | 17.5000i | 0.712800 | + | 0.747563i | ||||
\(549\) | 0.0744591 | − | 0.104563i | 0.00317784 | − | 0.00446265i | ||||
\(550\) | −0.0375784 | − | 0.0938663i | −0.00160235 | − | 0.00400247i | ||||
\(551\) | 28.0434 | − | 48.5726i | 1.19469 | − | 2.06926i | ||||
\(552\) | −1.14386 | − | 0.180727i | −0.0486860 | − | 0.00769223i | ||||
\(553\) | −22.9590 | + | 9.84360i | −0.976317 | + | 0.418593i | ||||
\(554\) | 0.147519 | − | 1.02602i | 0.00626749 | − | 0.0435914i | ||||
\(555\) | −23.1734 | − | 2.21279i | −0.983657 | − | 0.0939279i | ||||
\(556\) | 24.8147 | − | 6.01997i | 1.05238 | − | 0.255304i | ||||
\(557\) | 34.7839 | + | 12.0388i | 1.47384 | + | 0.510101i | 0.941670 | − | 0.336537i | \(-0.109256\pi\) |
0.532170 | + | 0.846638i | \(0.321377\pi\) | |||||||
\(558\) | −0.0705259 | − | 0.0171094i | −0.00298560 | − | 0.000724298i | ||||
\(559\) | −8.89930 | − | 5.71924i | −0.376400 | − | 0.241898i | ||||
\(560\) | −14.0647 | + | 23.0976i | −0.594344 | + | 0.976051i | ||||
\(561\) | −4.23528 | + | 4.88778i | −0.178814 | + | 0.206362i | ||||
\(562\) | −0.0943202 | + | 0.00449303i | −0.00397866 | + | 0.000189527i | ||||
\(563\) | −9.38864 | + | 7.38331i | −0.395684 | + | 0.311169i | −0.796101 | − | 0.605164i | \(-0.793108\pi\) |
0.400417 | + | 0.916333i | \(0.368865\pi\) | |||||||
\(564\) | 15.1283 | − | 11.8970i | 0.637015 | − | 0.500954i | ||||
\(565\) | 9.84081 | − | 0.468776i | 0.414006 | − | 0.0197215i | ||||
\(566\) | 0.372695 | − | 0.430113i | 0.0156655 | − | 0.0180790i | ||||
\(567\) | 1.37603 | − | 2.25976i | 0.0577879 | − | 0.0949012i | ||||
\(568\) | −1.49890 | − | 0.963282i | −0.0628923 | − | 0.0404184i | ||||
\(569\) | 9.99615 | + | 2.42504i | 0.419061 | + | 0.101663i | 0.439744 | − | 0.898123i | \(-0.355069\pi\) |
−0.0206836 | + | 0.999786i | \(0.506584\pi\) | |||||||
\(570\) | 0.980218 | + | 0.339257i | 0.0410568 | + | 0.0142099i | ||||
\(571\) | 10.9246 | − | 2.65028i | 0.457180 | − | 0.110911i | −0.000554188 | − | 1.00000i | \(-0.500176\pi\) |
0.457734 | + | 0.889089i | \(0.348661\pi\) | |||||||
\(572\) | −10.0203 | − | 0.956819i | −0.418968 | − | 0.0400066i | ||||
\(573\) | 0.741443 | − | 5.15685i | 0.0309742 | − | 0.215431i | ||||
\(574\) | −0.761046 | + | 0.326296i | −0.0317654 | + | 0.0136193i | ||||
\(575\) | −7.33935 | − | 2.26632i | −0.306072 | − | 0.0945119i | ||||
\(576\) | −3.95626 | + | 6.85244i | −0.164844 | + | 0.285518i | ||||
\(577\) | −9.41482 | − | 23.5171i | −0.391944 | − | 0.979029i | −0.984796 | − | 0.173717i | \(-0.944422\pi\) |
0.592852 | − | 0.805312i | \(-0.298002\pi\) | |||||||
\(578\) | −0.747254 | + | 1.04937i | −0.0310817 | + | 0.0436481i | ||||
\(579\) | −8.89467 | − | 9.32846i | −0.369650 | − | 0.387678i | ||||
\(580\) | −28.1975 | − | 32.5416i | −1.17084 | − | 1.35122i | ||||
\(581\) | 5.71392 | − | 15.3403i | 0.237053 | − | 0.636422i | ||||
\(582\) | −0.0127223 | + | 0.0197964i | −0.000527358 | + | 0.000820585i | ||||
\(583\) | 2.02739 | + | 2.84707i | 0.0839660 | + | 0.117914i | ||||
\(584\) | −0.106533 | + | 0.552747i | −0.00440838 | + | 0.0228728i | ||||
\(585\) | 5.68201 | − | 11.0216i | 0.234922 | − | 0.455686i | ||||
\(586\) | 0.210902 | + | 0.0844325i | 0.00871229 | + | 0.00348788i | ||||
\(587\) | −35.6346 | + | 5.12347i | −1.47080 | + | 0.211468i | −0.830654 | − | 0.556789i | \(-0.812033\pi\) |
−0.640141 | + | 0.768257i | \(0.721124\pi\) | |||||||
\(588\) | −4.58224 | − | 13.2018i | −0.188968 | − | 0.544434i | ||||
\(589\) | −6.06466 | − | 5.25506i | −0.249890 | − | 0.216531i | ||||
\(590\) | 0.506371 | − | 0.360585i | 0.0208470 | − | 0.0148451i | ||||
\(591\) | −12.4775 | − | 0.594376i | −0.513256 | − | 0.0244494i | ||||
\(592\) | −24.8720 | + | 26.0850i | −1.02223 | + | 1.07209i | ||||
\(593\) | −3.12451 | − | 16.2115i | −0.128308 | − | 0.665725i | −0.987943 | − | 0.154817i | \(-0.950521\pi\) |
0.859635 | − | 0.510908i | \(-0.170691\pi\) | |||||||
\(594\) | 0.0605704 | + | 0.0177851i | 0.00248524 | + | 0.000729731i | ||||
\(595\) | −41.1237 | − | 8.92693i | −1.68591 | − | 0.365969i | ||||
\(596\) | −28.0852 | − | 4.03804i | −1.15042 | − | 0.165405i | ||||
\(597\) | 5.78069 | + | 3.33748i | 0.236588 | + | 0.136594i | ||||
\(598\) | 0.979047 | − | 0.998623i | 0.0400362 | − | 0.0408367i | ||||
\(599\) | 0.976173 | + | 1.69078i | 0.0398853 | + | 0.0690834i | 0.885279 | − | 0.465060i | \(-0.153967\pi\) |
−0.845394 | + | 0.534144i | \(0.820634\pi\) | |||||||
\(600\) | 0.239075 | − | 0.304009i | 0.00976021 | − | 0.0124111i | ||||
\(601\) | 13.9103 | − | 6.35261i | 0.567412 | − | 0.259128i | −0.110987 | − | 0.993822i | \(-0.535401\pi\) |
0.678399 | + | 0.734693i | \(0.262674\pi\) | |||||||
\(602\) | 0.347919 | − | 0.0417544i | 0.0141801 | − | 0.00170178i | ||||
\(603\) | 11.4541 | − | 9.92507i | 0.466449 | − | 0.404180i | ||||
\(604\) | 3.56614 | − | 14.6998i | 0.145104 | − | 0.598128i | ||||
\(605\) | −1.21137 | + | 25.4297i | −0.0492490 | + | 1.03386i | ||||
\(606\) | −0.134018 | + | 0.0127972i | −0.00544412 | + | 0.000519851i | ||||
\(607\) | 22.7846 | − | 7.88581i | 0.924796 | − | 0.320075i | 0.177159 | − | 0.984182i | \(-0.443309\pi\) |
0.747637 | + | 0.664107i | \(0.231188\pi\) | |||||||
\(608\) | 4.06550 | − | 2.61274i | 0.164878 | − | 0.105961i | ||||
\(609\) | 22.2034 | − | 0.538334i | 0.899727 | − | 0.0218144i | ||||
\(610\) | 0.00283612 | + | 0.0197256i | 0.000114831 | + | 0.000798668i | ||||
\(611\) | 2.21380 | + | 46.4734i | 0.0895608 | + | 1.88011i | ||||
\(612\) | −12.1348 | − | 2.33879i | −0.490519 | − | 0.0945399i | ||||
\(613\) | −4.64741 | − | 48.6699i | −0.187707 | − | 1.96576i | −0.251690 | − | 0.967808i | \(-0.580986\pi\) |
0.0639830 | − | 0.997951i | \(-0.479620\pi\) | |||||||
\(614\) | −0.613040 | − | 1.18913i | −0.0247403 | − | 0.0479895i | ||||
\(615\) | −12.7695 | + | 3.74946i | −0.514915 | + | 0.151193i | ||||
\(616\) | 0.552599 | − | 0.374365i | 0.0222649 | − | 0.0150836i | ||||
\(617\) | 5.74539 | − | 19.5670i | 0.231301 | − | 0.787738i | −0.759275 | − | 0.650770i | \(-0.774446\pi\) |
0.990576 | − | 0.136968i | \(-0.0437357\pi\) | |||||||
\(618\) | 0.0544682 | − | 0.570416i | 0.00219103 | − | 0.0229455i | ||||
\(619\) | −13.0178 | + | 5.21153i | −0.523229 | + | 0.209469i | −0.618214 | − | 0.786009i | \(-0.712144\pi\) |
0.0949858 | + | 0.995479i | \(0.469719\pi\) | |||||||
\(620\) | −5.33530 | + | 3.08034i | −0.214271 | + | 0.123709i | ||||
\(621\) | 3.94486 | − | 2.72728i | 0.158302 | − | 0.109442i | ||||
\(622\) | 0.685413i | 0.0274826i | ||||||||
\(623\) | −17.2026 | + | 4.61756i | −0.689209 | + | 0.184999i | ||||
\(624\) | −7.97543 | − | 17.4638i | −0.319273 | − | 0.699110i | ||||
\(625\) | −22.0326 | + | 21.0081i | −0.881305 | + | 0.840323i | ||||
\(626\) | −0.0397269 | + | 0.114783i | −0.00158780 | + | 0.00458766i | ||||
\(627\) | 5.05196 | + | 4.81704i | 0.201756 | + | 0.192374i | ||||
\(628\) | 7.21161 | − | 3.71784i | 0.287775 | − | 0.148358i | ||||
\(629\) | −51.0171 | − | 23.2987i | −2.03419 | − | 0.928981i | ||||
\(630\) | 0.0874879 | + | 0.401323i | 0.00348560 | + | 0.0159891i | ||||
\(631\) | −19.2562 | − | 29.9633i | −0.766579 | − | 1.19282i | −0.976588 | − | 0.215120i | \(-0.930986\pi\) |
0.210009 | − | 0.977699i | \(-0.432651\pi\) | |||||||
\(632\) | 0.847346 | − | 2.11657i | 0.0337056 | − | 0.0841925i | ||||
\(633\) | −5.63426 | − | 7.16454i | −0.223942 | − | 0.284765i | ||||
\(634\) | 1.60545 | + | 0.827667i | 0.0637606 | + | 0.0328709i | ||||
\(635\) | −12.3531 | − | 35.6918i | −0.490216 | − | 1.41639i | ||||
\(636\) | −2.77439 | + | 6.07507i | −0.110012 | + | 0.240892i | ||||
\(637\) | 32.4226 | + | 9.48908i | 1.28463 | + | 0.375971i | ||||
\(638\) | 0.149298 | + | 0.508462i | 0.00591076 | + | 0.0201302i | ||||
\(639\) | 7.24537 | − | 1.39643i | 0.286622 | − | 0.0552419i | ||||
\(640\) | −1.16590 | − | 4.80590i | −0.0460862 | − | 0.189970i | ||||
\(641\) | 27.7828 | + | 19.7840i | 1.09735 | + | 0.781423i | 0.977409 | − | 0.211358i | \(-0.0677884\pi\) |
0.119946 | + | 0.992780i | \(0.461728\pi\) | |||||||
\(642\) | −0.470396 | − | 0.369924i | −0.0185651 | − | 0.0145997i | ||||
\(643\) | −43.1276 | −1.70078 | −0.850392 | − | 0.526149i | \(-0.823635\pi\) | ||||
−0.850392 | + | 0.526149i | \(0.823635\pi\) | |||||||
\(644\) | 2.14701 | − | 25.2397i | 0.0846040 | − | 0.994583i | ||||
\(645\) | 5.63197 | 0.221759 | ||||||||
\(646\) | 1.96441 | + | 1.54483i | 0.0772885 | + | 0.0607803i | ||||
\(647\) | −9.66368 | − | 6.88148i | −0.379919 | − | 0.270539i | 0.374105 | − | 0.927386i | \(-0.377950\pi\) |
−0.754023 | + | 0.656848i | \(0.771889\pi\) | |||||||
\(648\) | 0.0569288 | + | 0.234664i | 0.00223638 | + | 0.00921847i | ||||
\(649\) | 4.10779 | − | 0.791711i | 0.161245 | − | 0.0310774i | ||||
\(650\) | 0.131584 | + | 0.448135i | 0.00516116 | + | 0.0175773i | ||||
\(651\) | 0.525578 | − | 3.13395i | 0.0205990 | − | 0.122829i | ||||
\(652\) | −3.02264 | + | 6.61866i | −0.118376 | + | 0.259207i | ||||
\(653\) | 9.74776 | + | 28.1643i | 0.381459 | + | 1.10215i | 0.958415 | + | 0.285379i | \(0.0921193\pi\) |
−0.576956 | + | 0.816775i | \(0.695759\pi\) | |||||||
\(654\) | −0.975878 | − | 0.503100i | −0.0381599 | − | 0.0196728i | ||||
\(655\) | 27.9350 | + | 35.5222i | 1.09151 | + | 1.38797i | ||||
\(656\) | −7.65825 | + | 19.1294i | −0.299005 | + | 0.746877i | ||||
\(657\) | −1.26035 | − | 1.96114i | −0.0491709 | − | 0.0765114i | ||||
\(658\) | −1.03719 | − | 1.13993i | −0.0404338 | − | 0.0444393i | ||||
\(659\) | 26.6596 | + | 12.1750i | 1.03851 | + | 0.474272i | 0.860337 | − | 0.509726i | \(-0.170253\pi\) |
0.178175 | + | 0.983999i | \(0.442981\pi\) | |||||||
\(660\) | 4.76324 | − | 2.45562i | 0.185409 | − | 0.0955849i | ||||
\(661\) | 29.6610 | + | 28.2817i | 1.15368 | + | 1.10003i | 0.993603 | + | 0.112926i | \(0.0360224\pi\) |
0.160076 | + | 0.987105i | \(0.448826\pi\) | |||||||
\(662\) | 0.257024 | − | 0.742623i | 0.00998953 | − | 0.0288628i | ||||
\(663\) | 21.6217 | − | 20.6163i | 0.839718 | − | 0.800669i | ||||
\(664\) | 0.620644 | + | 1.35902i | 0.0240857 | + | 0.0527403i | ||||
\(665\) | −11.7360 | + | 43.8767i | −0.455102 | + | 1.70146i | ||||
\(666\) | 0.547439i | 0.0212128i | ||||||||
\(667\) | 37.1635 | + | 15.4808i | 1.43898 | + | 0.599420i | ||||
\(668\) | −35.7090 | + | 20.6166i | −1.38162 | + | 0.797680i | ||||
\(669\) | −25.1026 | + | 10.0496i | −0.970522 | + | 0.388538i | ||||
\(670\) | −0.223662 | + | 2.34229i | −0.00864081 | + | 0.0904906i | ||||
\(671\) | −0.0377835 | + | 0.128679i | −0.00145862 | + | 0.00496759i | ||||
\(672\) | 1.72172 | + | 0.835420i | 0.0664167 | + | 0.0322270i | ||||
\(673\) | −30.1895 | + | 8.86444i | −1.16372 | + | 0.341699i | −0.805877 | − | 0.592083i | \(-0.798306\pi\) |
−0.357843 | + | 0.933782i | \(0.616488\pi\) | |||||||
\(674\) | −0.250382 | − | 0.485674i | −0.00964436 | − | 0.0187075i | ||||
\(675\) | 0.152248 | + | 1.59441i | 0.00586001 | + | 0.0613688i | ||||
\(676\) | 20.1735 | + | 3.88812i | 0.775903 | + | 0.149543i | ||||
\(677\) | 1.48490 | + | 31.1719i | 0.0570694 | + | 1.19803i | 0.827856 | + | 0.560941i | \(0.189561\pi\) |
−0.770786 | + | 0.637094i | \(0.780136\pi\) | |||||||
\(678\) | −0.0329722 | − | 0.229326i | −0.00126629 | − | 0.00880723i | ||||
\(679\) | −0.904579 | − | 0.493420i | −0.0347146 | − | 0.0189357i | ||||
\(680\) | 3.23097 | − | 2.07642i | 0.123902 | − | 0.0796271i | ||||
\(681\) | −11.5655 | + | 4.00286i | −0.443191 | + | 0.153390i | ||||
\(682\) | 0.0754768 | − | 0.00720716i | 0.00289016 | − | 0.000275976i | ||||
\(683\) | 1.71514 | − | 36.0053i | 0.0656281 | − | 1.37770i | −0.690525 | − | 0.723309i | \(-0.742620\pi\) |
0.756153 | − | 0.654395i | \(-0.227077\pi\) | |||||||
\(684\) | −3.14462 | + | 12.9623i | −0.120237 | + | 0.495625i | ||||
\(685\) | 23.5194 | − | 20.3797i | 0.898632 | − | 0.778669i | ||||
\(686\) | −1.02811 | + | 0.441873i | −0.0392535 | + | 0.0168708i | ||||
\(687\) | −1.41937 | + | 0.648205i | −0.0541524 | + | 0.0247306i | ||||
\(688\) | 5.39027 | − | 6.85428i | 0.205502 | − | 0.261317i | ||||
\(689\) | −8.07262 | − | 13.9822i | −0.307542 | − | 0.532679i | ||||
\(690\) | −0.151056 | + | 0.729061i | −0.00575059 | + | 0.0277549i | ||||
\(691\) | −8.94433 | − | 5.16401i | −0.340258 | − | 0.196448i | 0.320128 | − | 0.947374i | \(-0.396274\pi\) |
−0.660386 | + | 0.750926i | \(0.729607\pi\) | |||||||
\(692\) | 19.7884 | + | 2.84514i | 0.752242 | + | 0.108156i | ||||
\(693\) | −0.586379 | + | 2.70127i | −0.0222747 | + | 0.102613i | ||||
\(694\) | −0.298285 | − | 0.0875844i | −0.0113228 | − | 0.00332466i | ||||
\(695\) | −6.21949 | − | 32.2698i | −0.235919 | − | 1.22406i | ||||
\(696\) | −1.39882 | + | 1.46704i | −0.0530220 | + | 0.0556079i | ||||
\(697\) | −32.0279 | − | 1.52567i | −1.21314 | − | 0.0577891i | ||||
\(698\) | 1.38072 | − | 0.983207i | 0.0522611 | − | 0.0372149i | ||||
\(699\) | 8.00348 | + | 6.93505i | 0.302719 | + | 0.262308i | ||||
\(700\) | 7.00800 | + | 4.73865i | 0.264878 | + | 0.179104i | ||||
\(701\) | −26.9639 | + | 3.87683i | −1.01841 | + | 0.146426i | −0.631245 | − | 0.775583i | \(-0.717456\pi\) |
−0.387168 | + | 0.922009i | \(0.626547\pi\) | |||||||
\(702\) | −0.270718 | − | 0.108379i | −0.0102176 | − | 0.00409050i | ||||
\(703\) | −27.7382 | + | 53.8046i | −1.04617 | + | 2.02928i | ||||
\(704\) | 1.56448 | − | 8.11732i | 0.0589637 | − | 0.305933i | ||||
\(705\) | −14.3681 | − | 20.1771i | −0.541133 | − | 0.759914i | ||||
\(706\) | 0.717902 | − | 1.11708i | 0.0270186 | − | 0.0420418i | ||||
\(707\) | −0.980130 | − | 5.81294i | −0.0368616 | − | 0.218618i | ||||
\(708\) | 5.23474 | + | 6.04121i | 0.196734 | + | 0.227043i | ||||
\(709\) | 9.22554 | + | 9.67546i | 0.346472 | + | 0.363370i | 0.873794 | − | 0.486296i | \(-0.161652\pi\) |
−0.527322 | + | 0.849666i | \(0.676804\pi\) | |||||||
\(710\) | −0.664475 | + | 0.933124i | −0.0249373 | + | 0.0350195i | ||||
\(711\) | 3.50911 | + | 8.76532i | 0.131602 | + | 0.328725i | ||||
\(712\) | 0.812807 | − | 1.40782i | 0.0304612 | − | 0.0527604i | ||||
\(713\) | 3.18120 | − | 4.80194i | 0.119137 | − | 0.179834i | ||||
\(714\) | −0.117053 | + | 0.982666i | −0.00438059 | + | 0.0367753i | ||||
\(715\) | −1.84370 | + | 12.8232i | −0.0689505 | + | 0.479561i | ||||
\(716\) | 41.8222 | + | 3.99354i | 1.56297 | + | 0.149246i | ||||
\(717\) | −20.5827 | + | 4.99332i | −0.768676 | + | 0.186479i | ||||
\(718\) | −0.421013 | − | 0.145714i | −0.0157121 | − | 0.00543800i | ||||
\(719\) | −23.9506 | − | 5.81034i | −0.893205 | − | 0.216689i | −0.237214 | − | 0.971458i | \(-0.576234\pi\) |
−0.655991 | + | 0.754768i | \(0.727749\pi\) | |||||||
\(720\) | 8.59865 | + | 5.52601i | 0.320453 | + | 0.205942i | ||||
\(721\) | 25.0838 | + | 0.586040i | 0.934168 | + | 0.0218253i | ||||
\(722\) | 1.01454 | − | 1.17085i | 0.0377574 | − | 0.0435744i | ||||
\(723\) | 6.82814 | − | 0.325265i | 0.253941 | − | 0.0120967i | ||||
\(724\) | 31.0628 | − | 24.4280i | 1.15444 | − | 0.907860i | ||||
\(725\) | −10.5687 | + | 8.31130i | −0.392511 | + | 0.308674i | ||||
\(726\) | 0.598019 | − | 0.0284872i | 0.0221946 | − | 0.00105726i | ||||
\(727\) | −7.54172 | + | 8.70360i | −0.279707 | + | 0.322799i | −0.878167 | − | 0.478353i | \(-0.841234\pi\) |
0.598461 | + | 0.801152i | \(0.295779\pi\) | |||||||
\(728\) | −2.70545 | + | 1.47884i | −0.100271 | + | 0.0548094i | ||||
\(729\) | −0.841254 | − | 0.540641i | −0.0311575 | − | 0.0200237i | ||||
\(730\) | 0.351716 | + | 0.0853253i | 0.0130176 | + | 0.00315803i | ||||
\(731\) | 12.8228 | + | 4.43800i | 0.474267 | + | 0.164145i | ||||
\(732\) | −0.249038 | + | 0.0604160i | −0.00920471 | + | 0.00223304i | ||||
\(733\) | −20.6096 | − | 1.96798i | −0.761233 | − | 0.0726889i | −0.292783 | − | 0.956179i | \(-0.594581\pi\) |
−0.468450 | + | 0.883490i | \(0.655187\pi\) | |||||||
\(734\) | 0.192536 | − | 1.33912i | 0.00710664 | − | 0.0494278i | ||||
\(735\) | −17.2526 | + | 5.08234i | −0.636371 | + | 0.187465i | ||||
\(736\) | 2.23496 | + | 2.65292i | 0.0823819 | + | 0.0977880i | ||||
\(737\) | −7.91722 | + | 13.7130i | −0.291634 | + | 0.505126i | ||||
\(738\) | 0.116320 | + | 0.290553i | 0.00428180 | + | 0.0106954i | ||||
\(739\) | 10.3867 | − | 14.5861i | 0.382082 | − | 0.536559i | −0.578089 | − | 0.815974i | \(-0.696201\pi\) |
0.960170 | + | 0.279415i | \(0.0901406\pi\) | |||||||
\(740\) | 32.0698 | + | 33.6339i | 1.17891 | + | 1.23641i | ||||
\(741\) | −21.1158 | − | 24.3689i | −0.775708 | − | 0.895215i | ||||
\(742\) | 0.501172 | + | 0.186676i | 0.0183986 | + | 0.00685308i | ||||
\(743\) | 21.2275 | − | 33.0306i | 0.778761 | − | 1.21178i | −0.194235 | − | 0.980955i | \(-0.562222\pi\) |
0.972996 | − | 0.230821i | \(-0.0741411\pi\) | |||||||
\(744\) | 0.168229 | + | 0.236244i | 0.00616757 | + | 0.00866114i | ||||
\(745\) | −6.91114 | + | 35.8584i | −0.253205 | + | 1.31375i | ||||
\(746\) | 0.413975 | − | 0.802999i | 0.0151567 | − | 0.0293999i | ||||
\(747\) | −5.74403 | − | 2.29956i | −0.210163 | − | 0.0841366i | ||||
\(748\) | 12.7799 | − | 1.83747i | 0.467279 | − | 0.0671846i | ||||
\(749\) | 14.6777 | − | 21.7069i | 0.536312 | − | 0.793154i | ||||
\(750\) | 0.398724 | + | 0.345496i | 0.0145593 | + | 0.0126157i | ||||
\(751\) | 22.9084 | − | 16.3130i | 0.835940 | − | 0.595270i | −0.0799048 | − | 0.996802i | \(-0.525462\pi\) |
0.915845 | + | 0.401532i | \(0.131522\pi\) | |||||||
\(752\) | −38.3076 | − | 1.82482i | −1.39694 | − | 0.0665443i | ||||
\(753\) | −17.6402 | + | 18.5005i | −0.642845 | + | 0.674196i | ||||
\(754\) | −0.463269 | − | 2.40367i | −0.0168713 | − | 0.0875364i | ||||
\(755\) | −18.6794 | − | 5.48476i | −0.679812 | − | 0.199611i | ||||
\(756\) | −5.03033 | + | 1.61047i | −0.182951 | + | 0.0585722i | ||||
\(757\) | 14.9035 | + | 2.14280i | 0.541678 | + | 0.0778816i | 0.407723 | − | 0.913106i | \(-0.366323\pi\) |
0.133955 | + | 0.990987i | \(0.457232\pi\) | |||||||
\(758\) | 1.30768 | + | 0.754988i | 0.0474970 | + | 0.0274224i | ||||
\(759\) | −2.96284 | + | 4.04065i | −0.107544 | + | 0.146666i | ||||
\(760\) | −2.07264 | − | 3.58992i | −0.0751825 | − | 0.130220i | ||||
\(761\) | −4.46146 | + | 5.67320i | −0.161728 | + | 0.205653i | −0.860162 | − | 0.510020i | \(-0.829638\pi\) |
0.698435 | + | 0.715674i | \(0.253880\pi\) | |||||||
\(762\) | −0.807935 | + | 0.368972i | −0.0292684 | + | 0.0133664i | ||||
\(763\) | 18.9054 | − | 44.2021i | 0.684421 | − | 1.60022i | ||||
\(764\) | −7.86036 | + | 6.81104i | −0.284378 | + | 0.246415i | ||||
\(765\) | −3.74982 | + | 15.4570i | −0.135575 | + | 0.558848i | ||||
\(766\) | −0.0340219 | + | 0.714207i | −0.00122926 | + | 0.0258053i | ||||
\(767\) | −19.2369 | + | 1.83690i | −0.694603 | + | 0.0663265i | ||||
\(768\) | 14.8448 | − | 5.13782i | 0.535664 | − | 0.185395i | ||||
\(769\) | 12.2924 | − | 7.89985i | 0.443276 | − | 0.284876i | −0.299902 | − | 0.953970i | \(-0.596954\pi\) |
0.743178 | + | 0.669094i | \(0.233318\pi\) | |||||||
\(770\) | −0.223513 | − | 0.366332i | −0.00805484 | − | 0.0132017i | ||||
\(771\) | −0.756041 | − | 5.25838i | −0.0272282 | − | 0.189376i | ||||
\(772\) | 1.22436 | + | 25.7025i | 0.0440657 | + | 0.925053i | ||||
\(773\) | −27.8730 | − | 5.37208i | −1.00252 | − | 0.193220i | −0.338527 | − | 0.940957i | \(-0.609928\pi\) |
−0.663995 | + | 0.747737i | \(0.731141\pi\) | |||||||
\(774\) | −0.0125897 | − | 0.131845i | −0.000452526 | − | 0.00473907i | ||||
\(775\) | 0.881488 | + | 1.70985i | 0.0316640 | + | 0.0614195i | ||||
\(776\) | 0.0902326 | − | 0.0264947i | 0.00323916 | − | 0.000951104i | ||||
\(777\) | −23.9090 | + | 1.72060i | −0.857732 | + | 0.0617263i | ||||
\(778\) | −0.311822 | + | 1.06197i | −0.0111794 | + | 0.0380734i | ||||
\(779\) | −3.28963 | + | 34.4506i | −0.117863 | + | 1.23432i | ||||
\(780\) | −22.9815 | + | 9.20041i | −0.822870 | + | 0.329428i | ||||
\(781\) | −6.67620 | + | 3.85450i | −0.238893 | + | 0.137925i | ||||
\(782\) | −0.918422 | + | 1.54088i | −0.0328427 | + | 0.0551018i | ||||
\(783\) | − | 8.39456i | − | 0.299997i | ||||||
\(784\) | −10.3268 | + | 25.8612i | −0.368814 | + | 0.923613i | ||||
\(785\) | −4.33794 | − | 9.49876i | −0.154828 | − | 0.339025i | ||||
\(786\) | 0.769132 | − | 0.733366i | 0.0274340 | − | 0.0261583i | ||||
\(787\) | −13.0719 | + | 37.7687i | −0.465962 | + | 1.34631i | 0.430260 | + | 0.902705i | \(0.358422\pi\) |
−0.896222 | + | 0.443605i | \(0.853699\pi\) | |||||||
\(788\) | 18.0483 | + | 17.2090i | 0.642942 | + | 0.613044i | ||||
\(789\) | −7.59962 | + | 3.91788i | −0.270554 | + | 0.139480i | ||||
\(790\) | −1.33334 | − | 0.608916i | −0.0474381 | − | 0.0216643i | ||||
\(791\) | 9.91205 | − | 2.16081i | 0.352432 | − | 0.0768296i | ||||
\(792\) | −0.136393 | − | 0.212231i | −0.00484650 | − | 0.00754131i | ||||
\(793\) | 0.230246 | − | 0.575126i | 0.00817626 | − | 0.0204233i | ||||
\(794\) | 1.02638 | + | 1.30515i | 0.0364249 | + | 0.0463181i | ||||
\(795\) | 7.64006 | + | 3.93873i | 0.270965 | + | 0.139692i | ||||
\(796\) | −4.35836 | − | 12.5927i | −0.154478 | − | 0.446335i | ||||
\(797\) | −20.4936 | + | 44.8747i | −0.725919 | + | 1.58954i | 0.0794988 | + | 0.996835i | \(0.474668\pi\) |
−0.805418 | + | 0.592707i | \(0.798059\pi\) | |||||||
\(798\) | 1.05339 | + | 0.176659i | 0.0372897 | + | 0.00625366i | ||||
\(799\) | −16.8133 | − | 57.2609i | −0.594813 | − | 2.02575i | ||||
\(800\) | −1.13756 | + | 0.219247i | −0.0402189 | + | 0.00775155i | ||||
\(801\) | 1.58716 | + | 6.54237i | 0.0560796 | + | 0.231163i | ||||
\(802\) | 0.413962 | + | 0.294781i | 0.0146175 | + | 0.0104091i | ||||
\(803\) | 1.91449 | + | 1.50557i | 0.0675607 | + | 0.0531303i | ||||
\(804\) | −30.2567 | −1.06707 | ||||||||
\(805\) | −32.3161 | − | 4.30581i | −1.13899 | − | 0.151760i | ||||
\(806\) | −0.350237 | −0.0123366 | ||||||||
\(807\) | 13.4777 | + | 10.5990i | 0.474438 | + | 0.373102i | ||||
\(808\) | 0.438258 | + | 0.312082i | 0.0154179 | + | 0.0109790i | ||||
\(809\) | −8.17458 | − | 33.6961i | −0.287403 | − | 1.18469i | −0.914120 | − | 0.405444i | \(-0.867117\pi\) |
0.626717 | − | 0.779247i | \(-0.284398\pi\) | |||||||
\(810\) | 0.152443 | − | 0.0293810i | 0.00535630 | − | 0.00103234i | ||||
\(811\) | 6.39473 | + | 21.7785i | 0.224549 | + | 0.764745i | 0.992285 | + | 0.123978i | \(0.0395653\pi\) |
−0.767735 | + | 0.640767i | \(0.778617\pi\) | |||||||
\(812\) | −34.2029 | − | 28.2150i | −1.20029 | − | 0.990152i | ||||
\(813\) | −0.177718 | + | 0.389147i | −0.00623283 | + | 0.0136480i | ||||
\(814\) | −0.187065 | − | 0.540488i | −0.00655661 | − | 0.0189441i | ||||
\(815\) | 8.32369 | + | 4.29116i | 0.291566 | + | 0.150313i | ||||
\(816\) | 15.2227 | + | 19.3573i | 0.532902 | + | 0.677640i | ||||
\(817\) | 5.44309 | − | 13.5962i | 0.190429 | − | 0.475670i | ||||
\(818\) | −0.575934 | − | 0.896171i | −0.0201371 | − | 0.0313339i | ||||
\(819\) | 3.88251 | − | 12.1641i | 0.135666 | − | 0.425046i | ||||
\(820\) | 24.1676 | + | 11.0370i | 0.843969 | + | 0.385428i | ||||
\(821\) | −10.6429 | + | 5.48682i | −0.371441 | + | 0.191491i | −0.633833 | − | 0.773470i | \(-0.718519\pi\) |
0.262391 | + | 0.964962i | \(0.415489\pi\) | |||||||
\(822\) | −0.529666 | − | 0.505036i | −0.0184742 | − | 0.0176152i | ||||
\(823\) | −4.98399 | + | 14.4003i | −0.173731 | + | 0.501962i | −0.997928 | − | 0.0643407i | \(-0.979506\pi\) |
0.824197 | + | 0.566303i | \(0.191627\pi\) | |||||||
\(824\) | −1.65732 | + | 1.58025i | −0.0577353 | + | 0.0550505i | ||||
\(825\) | −0.695138 | − | 1.52214i | −0.0242016 | − | 0.0529941i | ||||
\(826\) | 0.452432 | − | 0.452831i | 0.0157421 | − | 0.0157560i | ||||
\(827\) | 26.9652i | 0.937673i | 0.883285 | + | 0.468837i | \(0.155327\pi\) | ||||
−0.883285 | + | 0.468837i | \(0.844673\pi\) | |||||||
\(828\) | −9.51723 | − | 1.04248i | −0.330747 | − | 0.0362288i | ||||
\(829\) | 10.7105 | − | 6.18370i | 0.371991 | − | 0.214769i | −0.302337 | − | 0.953201i | \(-0.597767\pi\) |
0.674328 | + | 0.738432i | \(0.264433\pi\) | |||||||
\(830\) | 0.891752 | − | 0.357003i | 0.0309531 | − | 0.0123918i | ||||
\(831\) | 1.63071 | − | 17.0776i | 0.0565688 | − | 0.592415i | ||||
\(832\) | −10.7584 | + | 36.6397i | −0.372980 | + | 1.27025i | ||||
\(833\) | −43.2852 | − | 2.02368i | −1.49974 | − | 0.0701162i | ||||
\(834\) | −0.741536 | + | 0.217735i | −0.0256773 | + | 0.00753953i | ||||
\(835\) | 24.3174 | + | 47.1692i | 0.841538 | + | 1.63236i | ||||
\(836\) | −1.32464 | − | 13.8722i | −0.0458136 | − | 0.479781i | ||||
\(837\) | −1.17936 | − | 0.227303i | −0.0407646 | − | 0.00785672i | ||||
\(838\) | 0.0104705 | + | 0.219802i | 0.000361696 | + | 0.00759293i | ||||
\(839\) | −0.584922 | − | 4.06822i | −0.0201937 | − | 0.140451i | 0.977230 | − | 0.212181i | \(-0.0680568\pi\) |
−0.997424 | + | 0.0717309i | \(0.977148\pi\) | |||||||
\(840\) | 0.786050 | − | 1.44105i | 0.0271213 | − | 0.0497211i | ||||
\(841\) | 34.8857 | − | 22.4197i | 1.20295 | − | 0.773092i | ||||
\(842\) | 1.00456 | − | 0.347683i | 0.0346195 | − | 0.0119819i | ||||
\(843\) | −1.55570 | + | 0.148551i | −0.0535811 | + | 0.00511637i | ||||
\(844\) | −0.865795 | + | 18.1753i | −0.0298019 | + | 0.625619i | ||||
\(845\) | 6.23389 | − | 25.6964i | 0.214452 | − | 0.883984i | ||||
\(846\) | −0.440230 | + | 0.381462i | −0.0151354 | + | 0.0131149i | ||||
\(847\) | 3.12374 | + | 26.0286i | 0.107333 | + | 0.894352i | ||||
\(848\) | 12.1057 | − | 5.52851i | 0.415713 | − | 0.189850i | ||||
\(849\) | 5.82243 | − | 7.40382i | 0.199825 | − | 0.254098i | ||||
\(850\) | −0.299541 | − | 0.518821i | −0.0102742 | − | 0.0177954i | ||||
\(851\) | −40.8596 | − | 14.7808i | −1.40065 | − | 0.506680i | ||||
\(852\) | −12.7570 | − | 7.36524i | −0.437047 | − | 0.252329i | ||||
\(853\) | 2.11766 | + | 0.304474i | 0.0725074 | + | 0.0104250i | 0.178473 | − | 0.983945i | \(-0.442884\pi\) |
−0.105966 | + | 0.994370i | \(0.533793\pi\) | |||||||
\(854\) | 0.00625696 | + | 0.0195438i | 0.000214109 | + | 0.000668774i | ||||
\(855\) | 16.4714 | + | 4.83645i | 0.563311 | + | 0.165403i | ||||
\(856\) | 0.452600 | + | 2.34831i | 0.0154695 | + | 0.0802636i | ||||
\(857\) | −15.4435 | + | 16.1967i | −0.527542 | + | 0.553270i | −0.932549 | − | 0.361044i | \(-0.882420\pi\) |
0.405007 | + | 0.914313i | \(0.367269\pi\) | |||||||
\(858\) | 0.304314 | + | 0.0144963i | 0.0103891 | + | 0.000494895i | ||||
\(859\) | 18.1702 | − | 12.9389i | 0.619958 | − | 0.441470i | −0.226437 | − | 0.974026i | \(-0.572708\pi\) |
0.846395 | + | 0.532555i | \(0.178768\pi\) | |||||||
\(860\) | −8.49718 | − | 7.36285i | −0.289751 | − | 0.251071i | ||||
\(861\) | −12.3241 | + | 5.99341i | −0.420005 | + | 0.204255i | ||||
\(862\) | −1.77513 | + | 0.255226i | −0.0604613 | + | 0.00869303i | ||||
\(863\) | 2.05086 | + | 0.821042i | 0.0698122 | + | 0.0279486i | 0.406306 | − | 0.913737i | \(-0.366817\pi\) |
−0.336494 | + | 0.941686i | \(0.609241\pi\) | |||||||
\(864\) | 0.331440 | − | 0.642903i | 0.0112758 | − | 0.0218720i | ||||
\(865\) | 4.86948 | − | 25.2653i | 0.165567 | − | 0.859045i | ||||
\(866\) | 0.0592728 | + | 0.0832369i | 0.00201417 | + | 0.00282851i | ||||
\(867\) | −11.5267 | + | 17.9359i | −0.391468 | + | 0.609136i | ||||
\(868\) | −4.89006 | + | 4.04121i | −0.165980 | + | 0.137167i | ||||
\(869\) | −6.45974 | − | 7.45493i | −0.219132 | − | 0.252891i | ||||
\(870\) | 0.899341 | + | 0.943201i | 0.0304905 | + | 0.0319775i | ||||
\(871\) | 42.4278 | − | 59.5815i | 1.43761 | − | 2.01884i | ||||
\(872\) | 1.63075 | + | 4.07341i | 0.0552240 | + | 0.137943i | ||||
\(873\) | −0.194728 | + | 0.337278i | −0.00659053 | + | 0.0114151i | ||||
\(874\) | 1.61404 | + | 1.06927i | 0.0545958 | + | 0.0361688i | ||||
\(875\) | −13.8361 | + | 18.4999i | −0.467746 | + | 0.625411i | ||||
\(876\) | −0.662321 | + | 4.60655i | −0.0223778 | + | 0.155641i | ||||
\(877\) | 12.4360 | + | 1.18750i | 0.419935 | + | 0.0400990i | 0.302885 | − | 0.953027i | \(-0.402050\pi\) |
0.117050 | + | 0.993126i | \(0.462656\pi\) | |||||||
\(878\) | −1.07379 | + | 0.260497i | −0.0362385 | + | 0.00879136i | ||||
\(879\) | 3.55298 | + | 1.22970i | 0.119839 | + | 0.0414767i | ||||
\(880\) | −10.3778 | − | 2.51762i | −0.349834 | − | 0.0848688i | ||||
\(881\) | −17.9414 | − | 11.5302i | −0.604461 | − | 0.388463i | 0.202315 | − | 0.979320i | \(-0.435153\pi\) |
−0.806776 | + | 0.590857i | \(0.798790\pi\) | |||||||
\(882\) | 0.157544 | + | 0.392523i | 0.00530479 | + | 0.0132169i | ||||
\(883\) | −1.01505 | + | 1.17143i | −0.0341591 | + | 0.0394217i | −0.772572 | − | 0.634927i | \(-0.781030\pi\) |
0.738413 | + | 0.674349i | \(0.235576\pi\) | |||||||
\(884\) | −59.5738 | + | 2.83785i | −2.00368 | + | 0.0954472i | ||||
\(885\) | 8.08702 | − | 6.35970i | 0.271842 | − | 0.213779i | ||||
\(886\) | −0.127861 | + | 0.100551i | −0.00429558 | + | 0.00337808i | ||||
\(887\) | −24.4623 | + | 1.16528i | −0.821363 | + | 0.0391264i | −0.454056 | − | 0.890973i | \(-0.650023\pi\) |
−0.367308 | + | 0.930100i | \(0.619720\pi\) | |||||||
\(888\) | 1.43268 | − | 1.65340i | 0.0480774 | − | 0.0554843i | ||||
\(889\) | −18.6539 | − | 34.1264i | −0.625633 | − | 1.14456i | ||||
\(890\) | −0.879240 | − | 0.565053i | −0.0294722 | − | 0.0189406i | ||||
\(891\) | 1.01531 | + | 0.246312i | 0.0340143 | + | 0.00825178i | ||||
\(892\) | 51.0114 | + | 17.6552i | 1.70799 | + | 0.591140i | ||||
\(893\) | −62.5959 | + | 15.1856i | −2.09469 | + | 0.508167i | ||||
\(894\) | 0.854898 | + | 0.0816328i | 0.0285921 | + | 0.00273021i | ||||
\(895\) | 7.69517 | − | 53.5211i | 0.257221 | − | 1.78901i | ||||
\(896\) | −2.00666 | − | 4.68028i | −0.0670377 | − | 0.156357i | ||||
\(897\) | 15.3985 | − | 17.2795i | 0.514142 | − | 0.576947i | ||||
\(898\) | 0.988823 | − | 1.71269i | 0.0329975 | − | 0.0571533i | ||||
\(899\) | −3.74725 | − | 9.36017i | −0.124978 | − | 0.312179i | ||||
\(900\) | 1.85472 | − | 2.60459i | 0.0618239 | − | 0.0868195i | ||||
\(901\) | 14.2910 | + | 14.9880i | 0.476103 | + | 0.499323i | ||||
\(902\) | −0.214127 | − | 0.247116i | −0.00712967 | − | 0.00822807i | ||||
\(903\) | 5.71867 | − | 0.964235i | 0.190306 | − | 0.0320877i | ||||
\(904\) | −0.500575 | + | 0.778911i | −0.0166489 | + | 0.0259062i | ||||
\(905\) | −29.5018 | − | 41.4295i | −0.980674 | − | 1.37716i | ||||
\(906\) | −0.0866430 | + | 0.449547i | −0.00287852 | + | 0.0149352i | ||||
\(907\) | 16.8135 | − | 32.6137i | 0.558284 | − | 1.08292i | −0.425733 | − | 0.904849i | \(-0.639984\pi\) |
0.984018 | − | 0.178072i | \(-0.0569859\pi\) | |||||||
\(908\) | 22.6824 | + | 9.08065i | 0.752741 | + | 0.301352i | ||||
\(909\) | −2.20542 | + | 0.317092i | −0.0731492 | + | 0.0105173i | ||||
\(910\) | 0.866946 | + | 1.78268i | 0.0287390 | + | 0.0590954i | ||||
\(911\) | −6.70015 | − | 5.80572i | −0.221986 | − | 0.192352i | 0.536767 | − | 0.843731i | \(-0.319645\pi\) |
−0.758753 | + | 0.651379i | \(0.774191\pi\) | |||||||
\(912\) | 21.6507 | − | 15.4174i | 0.716925 | − | 0.510520i | ||||
\(913\) | 6.45687 | + | 0.307579i | 0.213691 | + | 0.0101794i | ||||
\(914\) | 0.207796 | − | 0.217930i | 0.00687327 | − | 0.00720848i | ||||
\(915\) | 0.0624184 | + | 0.323857i | 0.00206349 | + | 0.0107064i | ||||
\(916\) | 2.98888 | + | 0.877614i | 0.0987553 | + | 0.0289972i | ||||
\(917\) | 34.4467 | + | 31.2864i | 1.13753 | + | 1.03317i | ||||
\(918\) | 0.370231 | + | 0.0532312i | 0.0122195 | + | 0.00175689i | ||||
\(919\) | −36.7001 | − | 21.1888i | −1.21063 | − | 0.698955i | −0.247730 | − | 0.968829i | \(-0.579685\pi\) |
−0.962896 | + | 0.269874i | \(0.913018\pi\) | |||||||
\(920\) | 2.36422 | − | 1.80662i | 0.0779459 | − | 0.0595625i | ||||
\(921\) | −11.0708 | − | 19.1751i | −0.364794 | − | 0.631842i | ||||
\(922\) | −0.352969 | + | 0.448836i | −0.0116244 | + | 0.0147816i | ||||
\(923\) | 32.3923 | − | 14.7931i | 1.06621 | − | 0.486920i | ||||
\(924\) | 4.41615 | − | 3.30893i | 0.145281 | − | 0.108856i | ||||
\(925\) | 10.9669 | − | 9.50286i | 0.360589 | − | 0.312452i | ||||
\(926\) | −0.360448 | + | 1.48579i | −0.0118451 | + | 0.0488260i | ||||
\(927\) | 0.451236 | − | 9.47262i | 0.0148205 | − | 0.311122i | ||||
\(928\) | 6.04437 | − | 0.577168i | 0.198416 | − | 0.0189465i | ||||
\(929\) | 43.9533 | − | 15.2124i | 1.44206 | − | 0.499102i | 0.509611 | − | 0.860405i | \(-0.329789\pi\) |
0.932448 | + | 0.361303i | \(0.117668\pi\) | |||||||
\(930\) | 0.156863 | − | 0.100810i | 0.00514373 | − | 0.00330568i | ||||
\(931\) | −4.40465 | + | 46.5614i | −0.144357 | + | 1.52599i | ||||
\(932\) | −3.00876 | − | 20.9264i | −0.0985552 | − | 0.685466i | ||||
\(933\) | 0.539751 | + | 11.3308i | 0.0176706 | + | 0.370953i | ||||
\(934\) | −2.32911 | − | 0.448899i | −0.0762108 | − | 0.0146884i | ||||
\(935\) | −1.57957 | − | 16.5420i | −0.0516576 | − | 0.540983i | ||||
\(936\) | 0.533998 | + | 1.03581i | 0.0174543 | + | 0.0338566i | ||||
\(937\) | −30.6766 | + | 9.00746i | −1.00216 | + | 0.294261i | −0.741342 | − | 0.671127i | \(-0.765810\pi\) |
−0.260818 | + | 0.965388i | \(0.583992\pi\) | |||||||
\(938\) | 0.173913 | + | 2.41664i | 0.00567845 | + | 0.0789062i | ||||
\(939\) | −0.566347 | + | 1.92880i | −0.0184820 | + | 0.0629440i | ||||
\(940\) | −4.70050 | + | 49.2258i | −0.153313 | + | 1.60557i | ||||
\(941\) | 48.9846 | − | 19.6105i | 1.59685 | − | 0.639283i | 0.608789 | − | 0.793332i | \(-0.291655\pi\) |
0.988063 | + | 0.154048i | \(0.0492312\pi\) | |||||||
\(942\) | −0.212670 | + | 0.122785i | −0.00692916 | + | 0.00400055i | ||||
\(943\) | −24.8269 | + | 0.836939i | −0.808474 | + | 0.0272545i | ||||
\(944\) | − | 15.9289i | − | 0.518442i | ||||||
\(945\) | 1.76232 | + | 6.56550i | 0.0573284 | + | 0.213576i | ||||
\(946\) | 0.0574824 | + | 0.125869i | 0.00186891 | + | 0.00409235i | ||||
\(947\) | 9.05942 | − | 8.63813i | 0.294391 | − | 0.280702i | −0.528460 | − | 0.848958i | \(-0.677230\pi\) |
0.822851 | + | 0.568257i | \(0.192382\pi\) | |||||||
\(948\) | 6.16485 | − | 17.8122i | 0.200225 | − | 0.578512i | ||||
\(949\) | −8.14248 | − | 7.76384i | −0.264316 | − | 0.252025i | ||||
\(950\) | −0.574719 | + | 0.296288i | −0.0186464 | + | 0.00961286i | ||||
\(951\) | 27.1920 | + | 12.4182i | 0.881760 | + | 0.402686i | ||||
\(952\) | 2.92521 | − | 2.66155i | 0.0948068 | − | 0.0862614i | ||||
\(953\) | 16.9540 | + | 26.3809i | 0.549193 | + | 0.854560i | 0.999261 | − | 0.0384337i | \(-0.0122369\pi\) |
−0.450069 | + | 0.892994i | \(0.648600\pi\) | |||||||
\(954\) | 0.0751274 | − | 0.187659i | 0.00243234 | − | 0.00607569i | ||||
\(955\) | 8.27474 | + | 10.5222i | 0.267764 | + | 0.340490i | ||||
\(956\) | 37.5819 | + | 19.3748i | 1.21549 | + | 0.626626i | ||||
\(957\) | 2.86850 | + | 8.28797i | 0.0927253 | + | 0.267912i | ||||
\(958\) | −0.561767 | + | 1.23010i | −0.0181499 | + | 0.0397426i | ||||
\(959\) | 20.3924 | − | 24.7202i | 0.658504 | − | 0.798256i | ||||
\(960\) | −5.72767 | − | 19.5067i | −0.184860 | − | 0.629575i | ||||
\(961\) | 29.0233 | − | 5.59378i | 0.936236 | − | 0.180445i | ||||
\(962\) | 0.622873 | + | 2.56752i | 0.0200822 | + | 0.0827800i | ||||
\(963\) | −8.06757 | − | 5.74489i | −0.259974 | − | 0.185127i | ||||
\(964\) | −10.7271 | − | 8.43590i | −0.345497 | − | 0.271702i | ||||
\(965\) | 33.1175 | 1.06609 | ||||||||
\(966\) | −0.0285604 | + | 0.766147i | −0.000918915 | + | 0.0246504i | ||||
\(967\) | 40.2007 | 1.29277 | 0.646384 | − | 0.763012i | \(-0.276280\pi\) | ||||
0.646384 | + | 0.763012i | \(0.276280\pi\) | |||||||
\(968\) | −1.88071 | − | 1.47901i | −0.0604484 | − | 0.0475372i | ||||
\(969\) | 33.6907 | + | 23.9910i | 1.08230 | + | 0.770703i | ||||
\(970\) | −0.0142545 | − | 0.0587580i | −0.000457686 | − | 0.00188661i | ||||
\(971\) | 35.0823 | − | 6.76156i | 1.12584 | − | 0.216989i | 0.407858 | − | 0.913046i | \(-0.366276\pi\) |
0.717987 | + | 0.696057i | \(0.245064\pi\) | |||||||
\(972\) | 0.562437 | + | 1.91548i | 0.0180402 | + | 0.0614391i | ||||
\(973\) | −11.8401 | − | 31.7018i | −0.379575 | − | 1.01631i | ||||
\(974\) | 0.528198 | − | 1.15659i | 0.0169245 | − | 0.0370596i | ||||
\(975\) | 2.52816 | + | 7.30463i | 0.0809658 | + | 0.233935i | ||||
\(976\) | 0.453884 | + | 0.233994i | 0.0145285 | + | 0.00748995i | ||||
\(977\) | −7.09594 | − | 9.02322i | −0.227019 | − | 0.288678i | 0.659178 | − | 0.751987i | \(-0.270905\pi\) |
−0.886197 | + | 0.463309i | \(0.846662\pi\) | |||||||
\(978\) | 0.0818497 | − | 0.204451i | 0.00261727 | − | 0.00653762i | ||||
\(979\) | −3.80260 | − | 5.91695i | −0.121531 | − | 0.189107i | ||||
\(980\) | 32.6739 | + | 14.8869i | 1.04373 | + | 0.475544i | ||||
\(981\) | −16.5287 | − | 7.54841i | −0.527721 | − | 0.241002i | ||||
\(982\) | 1.80609 | − | 0.931104i | 0.0576346 | − | 0.0297127i | ||||
\(983\) | 28.0915 | + | 26.7851i | 0.895978 | + | 0.854313i | 0.989973 | − | 0.141259i | \(-0.0451151\pi\) |
−0.0939944 | + | 0.995573i | \(0.529964\pi\) | |||||||
\(984\) | 0.409079 | − | 1.18196i | 0.0130410 | − | 0.0376794i | ||||
\(985\) | 23.2287 | − | 22.1485i | 0.740128 | − | 0.705711i | ||||
\(986\) | 1.30436 | + | 2.85614i | 0.0415392 | + | 0.0909581i | ||||
\(987\) | −18.0437 | − | 18.0278i | −0.574338 | − | 0.573832i | ||||
\(988\) | 64.3717i | 2.04794i | ||||||||
\(989\) | 10.1805 | + | 2.62014i | 0.323722 | + | 0.0833157i | ||||
\(990\) | −0.140468 | + | 0.0810990i | −0.00446435 | + | 0.00257750i | ||||
\(991\) | −25.1328 | + | 10.0617i | −0.798370 | + | 0.319619i | −0.734735 | − | 0.678354i | \(-0.762694\pi\) |
−0.0636351 | + | 0.997973i | \(0.520269\pi\) | |||||||
\(992\) | 0.0825790 | − | 0.864806i | 0.00262188 | − | 0.0274576i | ||||
\(993\) | 3.66414 | − | 12.4789i | 0.116278 | − | 0.396006i | ||||
\(994\) | −0.514947 | + | 1.06125i | −0.0163331 | + | 0.0336609i | ||||
\(995\) | −16.4557 | + | 4.83184i | −0.521682 | + | 0.153180i | ||||
\(996\) | 5.65996 | + | 10.9788i | 0.179343 | + | 0.347876i | ||||
\(997\) | −2.97574 | − | 31.1634i | −0.0942427 | − | 0.986955i | −0.911670 | − | 0.410923i | \(-0.865207\pi\) |
0.817427 | − | 0.576032i | \(-0.195400\pi\) | |||||||
\(998\) | −0.902389 | − | 0.173921i | −0.0285646 | − | 0.00550538i | ||||
\(999\) | 0.431099 | + | 9.04987i | 0.0136394 | + | 0.286325i |
(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 | 483.2.bf.a.61.17 | ✓ | 640 | |
7.3 | odd | 6 | inner | 483.2.bf.a.199.16 | yes | 640 | |
23.20 | odd | 22 | inner | 483.2.bf.a.250.16 | yes | 640 | |
161.66 | even | 66 | inner | 483.2.bf.a.388.17 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.61.17 | ✓ | 640 | 1.1 | even | 1 | trivial | |
483.2.bf.a.199.16 | yes | 640 | 7.3 | odd | 6 | inner | |
483.2.bf.a.250.16 | yes | 640 | 23.20 | odd | 22 | inner | |
483.2.bf.a.388.17 | yes | 640 | 161.66 | even | 66 | inner |