Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [471,2,Mod(2,471)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(471, base_ring=CyclotomicField(52))
chi = DirichletCharacter(H, H._module([26, 47]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("471.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 471 = 3 \cdot 157 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 471.s (of order \(52\), degree \(24\), 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: | \(3.76095393520\) |
Analytic rank: | \(0\) |
Dimension: | \(1200\) |
Relative dimension: | \(50\) over \(\Q(\zeta_{52})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{52}]$ |
Embedding invariants
Embedding label | 2.8 | ||
Character | \(\chi\) | \(=\) | 471.2 |
Dual form | 471.2.s.a.236.8 |
$q$-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 \(\left(\mathbb{Z}/471\mathbb{Z}\right)^\times\).
\(n\) | \(158\) | \(319\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{47}{52}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.14879 | + | 0.393780i | −1.51942 | + | 0.278444i | −0.874206 | − | 0.485556i | \(-0.838617\pi\) |
−0.645216 | + | 0.764000i | \(0.723233\pi\) | |||||||
\(3\) | −1.33115 | − | 1.10817i | −0.768542 | − | 0.639800i | ||||
\(4\) | 2.59219 | − | 0.983089i | 1.29610 | − | 0.491544i | ||||
\(5\) | −0.374862 | − | 1.20298i | −0.167644 | − | 0.537987i | 0.832221 | − | 0.554444i | \(-0.187069\pi\) |
−0.999865 | + | 0.0164569i | \(0.994761\pi\) | |||||||
\(6\) | 3.29674 | + | 1.85703i | 1.34589 | + | 0.758130i | ||||
\(7\) | 3.78902 | − | 1.70530i | 1.43211 | − | 0.644542i | 0.461931 | − | 0.886916i | \(-0.347157\pi\) |
0.970183 | + | 0.242374i | \(0.0779261\pi\) | |||||||
\(8\) | −1.44392 | + | 0.872879i | −0.510502 | + | 0.308609i | ||||
\(9\) | 0.543937 | + | 2.95028i | 0.181312 | + | 0.983426i | ||||
\(10\) | 1.27921 | + | 2.43733i | 0.404521 | + | 0.770750i | ||||
\(11\) | 1.70650 | − | 1.17791i | 0.514529 | − | 0.355153i | −0.282332 | − | 0.959317i | \(-0.591108\pi\) |
0.796861 | + | 0.604163i | \(0.206493\pi\) | |||||||
\(12\) | −4.54003 | − | 1.56394i | −1.31059 | − | 0.451470i | ||||
\(13\) | 0.232398i | 0.0644557i | 0.999481 | + | 0.0322279i | \(0.0102602\pi\) | ||||
−0.999481 | + | 0.0322279i | \(0.989740\pi\) | |||||||
\(14\) | −7.47028 | + | 5.15636i | −1.99652 | + | 1.37810i | ||||
\(15\) | −0.834097 | + | 2.01675i | −0.215363 | + | 0.520724i | ||||
\(16\) | −1.39132 | + | 1.23260i | −0.347829 | + | 0.308149i | ||||
\(17\) | −2.51046 | + | 4.78328i | −0.608875 | + | 1.16011i | 0.364566 | + | 0.931178i | \(0.381217\pi\) |
−0.973441 | + | 0.228937i | \(0.926475\pi\) | |||||||
\(18\) | −2.33056 | − | 6.12533i | −0.549319 | − | 1.44375i | ||||
\(19\) | 6.87660 | + | 1.69493i | 1.57760 | + | 0.388843i | 0.928343 | − | 0.371726i | \(-0.121234\pi\) |
0.649257 | + | 0.760569i | \(0.275080\pi\) | |||||||
\(20\) | −2.15435 | − | 2.74982i | −0.481727 | − | 0.614879i | ||||
\(21\) | −6.93351 | − | 1.92885i | −1.51302 | − | 0.420909i | ||||
\(22\) | −3.20306 | + | 3.20306i | −0.682896 | + | 0.682896i | ||||
\(23\) | 0.0669838 | − | 1.10737i | 0.0139671 | − | 0.230904i | −0.984493 | − | 0.175425i | \(-0.943870\pi\) |
0.998460 | − | 0.0554785i | \(-0.0176684\pi\) | |||||||
\(24\) | 2.88937 | + | 0.438165i | 0.589790 | + | 0.0894401i | ||||
\(25\) | 2.80829 | − | 1.93842i | 0.561658 | − | 0.387685i | ||||
\(26\) | −0.0915138 | − | 0.499375i | −0.0179473 | − | 0.0979354i | ||||
\(27\) | 2.54533 | − | 4.53004i | 0.489849 | − | 0.871807i | ||||
\(28\) | 8.14540 | − | 8.14540i | 1.53934 | − | 1.53934i | ||||
\(29\) | 6.34815 | + | 1.97816i | 1.17882 | + | 0.367336i | 0.823450 | − | 0.567389i | \(-0.192046\pi\) |
0.355372 | + | 0.934725i | \(0.384354\pi\) | |||||||
\(30\) | 0.998140 | − | 4.66203i | 0.182235 | − | 0.851166i | ||||
\(31\) | −3.42235 | − | 0.415548i | −0.614672 | − | 0.0746347i | −0.192721 | − | 0.981254i | \(-0.561731\pi\) |
−0.421951 | + | 0.906619i | \(0.638654\pi\) | |||||||
\(32\) | 4.58539 | − | 5.85282i | 0.810590 | − | 1.03464i | ||||
\(33\) | −3.57693 | − | 0.323104i | −0.622664 | − | 0.0562451i | ||||
\(34\) | 3.51088 | − | 11.2668i | 0.602111 | − | 1.93224i | ||||
\(35\) | −3.47179 | − | 3.91884i | −0.586840 | − | 0.662405i | ||||
\(36\) | 4.31037 | + | 7.11294i | 0.718395 | + | 1.18549i | ||||
\(37\) | −3.31110 | + | 1.73780i | −0.544341 | + | 0.285692i | −0.714395 | − | 0.699742i | \(-0.753298\pi\) |
0.170054 | + | 0.985435i | \(0.445606\pi\) | |||||||
\(38\) | −15.4438 | − | 0.934176i | −2.50531 | − | 0.151543i | ||||
\(39\) | 0.257536 | − | 0.309358i | 0.0412388 | − | 0.0495369i | ||||
\(40\) | 1.59132 | + | 1.40979i | 0.251610 | + | 0.222907i | ||||
\(41\) | 0.151634 | + | 2.50681i | 0.0236813 | + | 0.391498i | 0.990634 | + | 0.136543i | \(0.0435992\pi\) |
−0.966953 | + | 0.254955i | \(0.917939\pi\) | |||||||
\(42\) | 15.6582 | + | 1.41440i | 2.41611 | + | 0.218247i | ||||
\(43\) | −1.32995 | − | 0.598563i | −0.202816 | − | 0.0912800i | 0.306459 | − | 0.951884i | \(-0.400856\pi\) |
−0.509275 | + | 0.860604i | \(0.670086\pi\) | |||||||
\(44\) | 3.26558 | − | 4.73101i | 0.492305 | − | 0.713227i | ||||
\(45\) | 3.34521 | − | 1.76029i | 0.498674 | − | 0.262409i | ||||
\(46\) | 0.292128 | + | 2.40589i | 0.0430719 | + | 0.354729i | ||||
\(47\) | 5.39611 | − | 10.2814i | 0.787103 | − | 1.49970i | −0.0773602 | − | 0.997003i | \(-0.524649\pi\) |
0.864463 | − | 0.502696i | \(-0.167659\pi\) | |||||||
\(48\) | 3.21798 | − | 0.0989683i | 0.464475 | − | 0.0142848i | ||||
\(49\) | 6.80675 | − | 7.68323i | 0.972393 | − | 1.09760i | ||||
\(50\) | −5.27111 | + | 5.27111i | −0.745447 | + | 0.745447i | ||||
\(51\) | 8.64247 | − | 3.58527i | 1.21019 | − | 0.502038i | ||||
\(52\) | 0.228468 | + | 0.602421i | 0.0316828 | + | 0.0835408i | ||||
\(53\) | 9.30295 | − | 5.62383i | 1.27786 | − | 0.772493i | 0.294761 | − | 0.955571i | \(-0.404760\pi\) |
0.983098 | + | 0.183079i | \(0.0586063\pi\) | |||||||
\(54\) | −3.68554 | + | 10.7364i | −0.501538 | + | 1.46104i | ||||
\(55\) | −2.05670 | − | 1.61132i | −0.277325 | − | 0.217271i | ||||
\(56\) | −3.98251 | + | 5.76966i | −0.532186 | + | 0.771004i | ||||
\(57\) | −7.27554 | − | 9.87662i | −0.963669 | − | 1.30819i | ||||
\(58\) | −14.4198 | − | 1.75088i | −1.89341 | − | 0.229902i | ||||
\(59\) | 0.956443 | + | 0.578190i | 0.124518 | + | 0.0752739i | 0.578226 | − | 0.815877i | \(-0.303745\pi\) |
−0.453708 | + | 0.891151i | \(0.649899\pi\) | |||||||
\(60\) | −0.179492 | + | 6.04781i | −0.0231723 | + | 0.780768i | ||||
\(61\) | 0.0243419 | − | 0.0147152i | 0.00311666 | − | 0.00188409i | −0.515779 | − | 0.856722i | \(-0.672497\pi\) |
0.518895 | + | 0.854838i | \(0.326343\pi\) | |||||||
\(62\) | 7.51753 | − | 0.454727i | 0.954728 | − | 0.0577504i | ||||
\(63\) | 7.09209 | + | 10.2511i | 0.893519 | + | 1.29151i | ||||
\(64\) | −5.82067 | + | 11.0904i | −0.727584 | + | 1.38629i | ||||
\(65\) | 0.279570 | − | 0.0871174i | 0.0346764 | − | 0.0108056i | ||||
\(66\) | 7.81330 | − | 0.714243i | 0.961750 | − | 0.0879172i | ||||
\(67\) | −6.99919 | − | 1.72515i | −0.855087 | − | 0.210760i | −0.212678 | − | 0.977122i | \(-0.568219\pi\) |
−0.642409 | + | 0.766362i | \(0.722065\pi\) | |||||||
\(68\) | −1.80520 | + | 14.8672i | −0.218913 | + | 1.80291i | ||||
\(69\) | −1.31632 | + | 1.39986i | −0.158466 | + | 0.168523i | ||||
\(70\) | 9.00331 | + | 7.05364i | 1.07610 | + | 0.843071i | ||||
\(71\) | 0.285763 | − | 1.15939i | 0.0339138 | − | 0.137594i | −0.951545 | − | 0.307511i | \(-0.900504\pi\) |
0.985458 | + | 0.169917i | \(0.0543501\pi\) | |||||||
\(72\) | −3.36064 | − | 3.78517i | −0.396055 | − | 0.446086i | ||||
\(73\) | −5.06822 | − | 11.2611i | −0.593190 | − | 1.31802i | −0.926889 | − | 0.375335i | \(-0.877528\pi\) |
0.333699 | − | 0.942680i | \(-0.391703\pi\) | |||||||
\(74\) | 6.43054 | − | 5.03800i | 0.747535 | − | 0.585656i | ||||
\(75\) | −5.88636 | − | 0.531714i | −0.679698 | − | 0.0613970i | ||||
\(76\) | 19.4917 | − | 2.36672i | 2.23585 | − | 0.271482i | ||||
\(77\) | 4.45726 | − | 7.37321i | 0.507952 | − | 0.840255i | ||||
\(78\) | −0.431571 | + | 0.766157i | −0.0488658 | + | 0.0867502i | ||||
\(79\) | −2.45265 | + | 13.3837i | −0.275945 | + | 1.50578i | 0.495006 | + | 0.868890i | \(0.335166\pi\) |
−0.770951 | + | 0.636895i | \(0.780219\pi\) | |||||||
\(80\) | 2.00434 | + | 1.21166i | 0.224092 | + | 0.135468i | ||||
\(81\) | −8.40826 | + | 3.20953i | −0.934252 | + | 0.356614i | ||||
\(82\) | −1.31296 | − | 5.32690i | −0.144992 | − | 0.588257i | ||||
\(83\) | 4.87109 | + | 6.21749i | 0.534672 | + | 0.682458i | 0.976716 | − | 0.214535i | \(-0.0688237\pi\) |
−0.442045 | + | 0.896993i | \(0.645747\pi\) | |||||||
\(84\) | −19.8692 | + | 1.81632i | −2.16791 | + | 0.198177i | ||||
\(85\) | 6.69524 | + | 1.22695i | 0.726201 | + | 0.133081i | ||||
\(86\) | 3.09349 | + | 0.762476i | 0.333579 | + | 0.0822199i | ||||
\(87\) | −6.25823 | − | 9.66804i | −0.670952 | − | 1.03652i | ||||
\(88\) | −1.43587 | + | 3.19037i | −0.153064 | + | 0.340095i | ||||
\(89\) | −15.2536 | − | 1.85212i | −1.61688 | − | 0.196324i | −0.738487 | − | 0.674268i | \(-0.764459\pi\) |
−0.878391 | + | 0.477943i | \(0.841382\pi\) | |||||||
\(90\) | −6.49498 | + | 5.09977i | −0.684631 | + | 0.537563i | ||||
\(91\) | 0.396309 | + | 0.880561i | 0.0415444 | + | 0.0923079i | ||||
\(92\) | −0.915012 | − | 2.93638i | −0.0953966 | − | 0.306139i | ||||
\(93\) | 4.09517 | + | 4.34569i | 0.424650 | + | 0.450627i | ||||
\(94\) | −7.54647 | + | 24.2175i | −0.778359 | + | 2.49784i | ||||
\(95\) | −0.538819 | − | 8.90775i | −0.0552817 | − | 0.913916i | ||||
\(96\) | −12.5897 | + | 2.70962i | −1.28494 | + | 0.276550i | ||||
\(97\) | −4.95077 | − | 15.8876i | −0.502675 | − | 1.61314i | −0.762157 | − | 0.647392i | \(-0.775860\pi\) |
0.259483 | − | 0.965748i | \(-0.416448\pi\) | |||||||
\(98\) | −11.6008 | + | 19.1900i | −1.17185 | + | 1.93848i | ||||
\(99\) | 4.40339 | + | 4.39393i | 0.442557 | + | 0.441607i | ||||
\(100\) | 5.37399 | − | 7.78556i | 0.537399 | − | 0.778556i | ||||
\(101\) | 4.00434 | + | 2.76400i | 0.398447 | + | 0.275028i | 0.750393 | − | 0.660992i | \(-0.229864\pi\) |
−0.351946 | + | 0.936020i | \(0.614480\pi\) | |||||||
\(102\) | −17.1590 | + | 11.1072i | −1.69900 | + | 1.09978i | ||||
\(103\) | 4.36231 | + | 5.56808i | 0.429831 | + | 0.548639i | 0.952755 | − | 0.303741i | \(-0.0982356\pi\) |
−0.522924 | + | 0.852380i | \(0.675159\pi\) | |||||||
\(104\) | −0.202856 | − | 0.335564i | −0.0198916 | − | 0.0329048i | ||||
\(105\) | 0.278759 | + | 9.06390i | 0.0272041 | + | 0.884546i | ||||
\(106\) | −17.7755 | + | 15.7477i | −1.72651 | + | 1.52955i | ||||
\(107\) | 3.35857 | + | 3.35857i | 0.324685 | + | 0.324685i | 0.850561 | − | 0.525876i | \(-0.176262\pi\) |
−0.525876 | + | 0.850561i | \(0.676262\pi\) | |||||||
\(108\) | 2.14456 | − | 14.2450i | 0.206360 | − | 1.37073i | ||||
\(109\) | −5.33201 | − | 14.0593i | −0.510713 | − | 1.34664i | −0.904121 | − | 0.427277i | \(-0.859473\pi\) |
0.393407 | − | 0.919364i | \(-0.371296\pi\) | |||||||
\(110\) | 5.05392 | + | 2.65250i | 0.481872 | + | 0.252906i | ||||
\(111\) | 6.33335 | + | 1.35597i | 0.601135 | + | 0.128703i | ||||
\(112\) | −3.16977 | + | 7.04294i | −0.299515 | + | 0.665495i | ||||
\(113\) | −6.69600 | − | 4.62192i | −0.629907 | − | 0.434793i | 0.209867 | − | 0.977730i | \(-0.432697\pi\) |
−0.839774 | + | 0.542937i | \(0.817312\pi\) | |||||||
\(114\) | 19.5228 | + | 18.3578i | 1.82848 | + | 1.71937i | ||||
\(115\) | −1.35725 | + | 0.334533i | −0.126565 | + | 0.0311954i | ||||
\(116\) | 18.4003 | − | 1.11301i | 1.70843 | − | 0.103341i | ||||
\(117\) | −0.685640 | + | 0.126410i | −0.0633874 | + | 0.0116866i | ||||
\(118\) | −2.28287 | − | 0.865779i | −0.210155 | − | 0.0797015i | ||||
\(119\) | −1.35525 | + | 22.4050i | −0.124236 | + | 2.05386i | ||||
\(120\) | −0.556014 | − | 3.64010i | −0.0507569 | − | 0.332294i | ||||
\(121\) | −2.37599 | + | 6.26497i | −0.215999 | + | 0.569543i | ||||
\(122\) | −0.0465110 | + | 0.0412051i | −0.00421091 | + | 0.00373054i | ||||
\(123\) | 2.57612 | − | 3.50499i | 0.232281 | − | 0.316034i | ||||
\(124\) | −9.27990 | + | 2.28729i | −0.833360 | + | 0.205405i | ||||
\(125\) | −8.34397 | − | 6.53708i | −0.746307 | − | 0.584694i | ||||
\(126\) | −19.2761 | − | 19.2347i | −1.71725 | − | 1.71356i | ||||
\(127\) | 3.30687 | − | 0.401527i | 0.293438 | − | 0.0356298i | 0.0275059 | − | 0.999622i | \(-0.491244\pi\) |
0.265932 | + | 0.963992i | \(0.414320\pi\) | |||||||
\(128\) | 3.71627 | − | 11.9259i | 0.328475 | − | 1.05411i | ||||
\(129\) | 1.10706 | + | 2.27059i | 0.0974715 | + | 0.199914i | ||||
\(130\) | −0.566431 | + | 0.297286i | −0.0496793 | + | 0.0260737i | ||||
\(131\) | −6.51059 | + | 1.19311i | −0.568833 | + | 0.104243i | −0.456972 | − | 0.889481i | \(-0.651066\pi\) |
−0.111861 | + | 0.993724i | \(0.535681\pi\) | |||||||
\(132\) | −9.58973 | + | 2.67889i | −0.834679 | + | 0.233168i | ||||
\(133\) | 28.9459 | − | 5.30453i | 2.50993 | − | 0.459961i | ||||
\(134\) | 15.7191 | + | 0.950830i | 1.35792 | + | 0.0821392i | ||||
\(135\) | −6.40368 | − | 1.36383i | −0.551141 | − | 0.117380i | ||||
\(136\) | −0.550327 | − | 9.09799i | −0.0471901 | − | 0.780146i | ||||
\(137\) | −0.699543 | + | 0.548057i | −0.0597660 | + | 0.0468237i | −0.646157 | − | 0.763204i | \(-0.723625\pi\) |
0.586391 | + | 0.810028i | \(0.300548\pi\) | |||||||
\(138\) | 2.27726 | − | 3.52633i | 0.193853 | − | 0.300181i | ||||
\(139\) | 18.1706 | + | 10.9845i | 1.54121 | + | 0.931693i | 0.995605 | + | 0.0936501i | \(0.0298535\pi\) |
0.545604 | + | 0.838043i | \(0.316300\pi\) | |||||||
\(140\) | −12.8521 | − | 6.74531i | −1.08620 | − | 0.570083i | ||||
\(141\) | −18.5766 | + | 7.70637i | −1.56443 | + | 0.648993i | ||||
\(142\) | −0.157501 | + | 2.60380i | −0.0132172 | + | 0.218506i | ||||
\(143\) | 0.273745 | + | 0.396588i | 0.0228917 | + | 0.0331643i | ||||
\(144\) | −4.39329 | − | 3.43431i | −0.366108 | − | 0.286192i | ||||
\(145\) | − | 8.37821i | − | 0.695772i | ||||||
\(146\) | 15.3249 | + | 22.2020i | 1.26830 | + | 1.83745i | ||||
\(147\) | −17.5751 | + | 2.68455i | −1.44957 | + | 0.221418i | ||||
\(148\) | −6.87459 | + | 7.75981i | −0.565088 | + | 0.637852i | ||||
\(149\) | −5.18428 | − | 8.57585i | −0.424713 | − | 0.702561i | 0.568005 | − | 0.823025i | \(-0.307716\pi\) |
−0.992718 | + | 0.120464i | \(0.961562\pi\) | |||||||
\(150\) | 12.8579 | − | 1.17539i | 1.04984 | − | 0.0959702i | ||||
\(151\) | −7.78511 | − | 1.42667i | −0.633543 | − | 0.116101i | −0.146120 | − | 0.989267i | \(-0.546679\pi\) |
−0.487423 | + | 0.873166i | \(0.662063\pi\) | |||||||
\(152\) | −11.4087 | + | 3.55510i | −0.925369 | + | 0.288357i | ||||
\(153\) | −15.4775 | − | 4.80474i | −1.25128 | − | 0.388440i | ||||
\(154\) | −6.67429 | + | 17.5986i | −0.537829 | + | 1.41814i | ||||
\(155\) | 0.783015 | + | 4.27278i | 0.0628933 | + | 0.343198i | ||||
\(156\) | 0.363456 | − | 1.05510i | 0.0290998 | − | 0.0844753i | ||||
\(157\) | 4.32545 | − | 11.7597i | 0.345209 | − | 0.938526i | ||||
\(158\) | − | 29.7245i | − | 2.36476i | ||||||
\(159\) | −18.6158 | − | 2.82303i | −1.47633 | − | 0.223881i | ||||
\(160\) | −8.75969 | − | 3.32211i | −0.692514 | − | 0.262636i | ||||
\(161\) | −1.63460 | − | 4.31009i | −0.128825 | − | 0.339682i | ||||
\(162\) | 16.8037 | − | 10.2076i | 1.32023 | − | 0.801985i | ||||
\(163\) | 0.0552299 | − | 0.301380i | 0.00432594 | − | 0.0236059i | −0.981386 | − | 0.192045i | \(-0.938488\pi\) |
0.985712 | + | 0.168439i | \(0.0538727\pi\) | |||||||
\(164\) | 2.85748 | + | 6.34907i | 0.223132 | + | 0.495779i | ||||
\(165\) | 0.952171 | + | 4.42408i | 0.0741264 | + | 0.344414i | ||||
\(166\) | −12.9153 | − | 11.4419i | −1.00242 | − | 0.888065i | ||||
\(167\) | −13.0987 | + | 6.87475i | −1.01361 | + | 0.531984i | −0.887878 | − | 0.460080i | \(-0.847821\pi\) |
−0.125734 | + | 0.992064i | \(0.540129\pi\) | |||||||
\(168\) | 11.6951 | − | 3.26702i | 0.902295 | − | 0.252056i | ||||
\(169\) | 12.9460 | 0.995845 | ||||||||
\(170\) | −14.8698 | −1.14046 | ||||||||
\(171\) | −1.26007 | + | 21.2098i | −0.0963602 | + | 1.62195i | ||||
\(172\) | −4.03593 | − | 0.244129i | −0.307737 | − | 0.0186147i | ||||
\(173\) | 13.6402 | + | 15.3966i | 1.03704 | + | 1.17058i | 0.985109 | + | 0.171930i | \(0.0550004\pi\) |
0.0519350 | + | 0.998650i | \(0.483461\pi\) | |||||||
\(174\) | 17.2547 | + | 18.3102i | 1.30807 | + | 1.38809i | ||||
\(175\) | 7.33507 | − | 12.1337i | 0.554479 | − | 0.917221i | ||||
\(176\) | −0.922387 | + | 3.74227i | −0.0695275 | + | 0.282084i | ||||
\(177\) | −0.632442 | − | 1.82956i | −0.0475372 | − | 0.137518i | ||||
\(178\) | 33.5060 | − | 2.02674i | 2.51138 | − | 0.151911i | ||||
\(179\) | −8.10644 | − | 8.10644i | −0.605904 | − | 0.605904i | 0.335969 | − | 0.941873i | \(-0.390936\pi\) |
−0.941873 | + | 0.335969i | \(0.890936\pi\) | |||||||
\(180\) | 6.94090 | − | 7.85165i | 0.517344 | − | 0.585227i | ||||
\(181\) | 2.29272 | + | 12.5110i | 0.170416 | + | 0.929932i | 0.951992 | + | 0.306122i | \(0.0990315\pi\) |
−0.781576 | + | 0.623810i | \(0.785584\pi\) | |||||||
\(182\) | −1.19833 | − | 1.73608i | −0.0888261 | − | 0.128687i | ||||
\(183\) | −0.0487096 | − | 0.00738668i | −0.00360072 | − | 0.000546039i | ||||
\(184\) | 0.869885 | + | 1.65743i | 0.0641288 | + | 0.122187i | ||||
\(185\) | 3.33174 | + | 3.33174i | 0.244954 | + | 0.244954i | ||||
\(186\) | −10.5109 | − | 7.72536i | −0.770697 | − | 0.566451i | ||||
\(187\) | 1.35018 | + | 11.1197i | 0.0987351 | + | 0.813157i | ||||
\(188\) | 3.88019 | − | 31.9563i | 0.282992 | − | 2.33065i | ||||
\(189\) | 1.91923 | − | 21.5050i | 0.139604 | − | 1.56426i | ||||
\(190\) | 4.66550 | + | 18.9287i | 0.338471 | + | 1.37323i | ||||
\(191\) | 21.1296 | + | 6.58425i | 1.52888 | + | 0.476419i | 0.942667 | − | 0.333735i | \(-0.108309\pi\) |
0.586217 | + | 0.810154i | \(0.300617\pi\) | |||||||
\(192\) | 20.0382 | − | 8.31270i | 1.44613 | − | 0.599917i | ||||
\(193\) | 6.36648 | + | 2.41449i | 0.458269 | + | 0.173799i | 0.572927 | − | 0.819606i | \(-0.305808\pi\) |
−0.114658 | + | 0.993405i | \(0.536577\pi\) | |||||||
\(194\) | 16.8944 | + | 32.1895i | 1.21294 | + | 2.31107i | ||||
\(195\) | −0.468691 | − | 0.193843i | −0.0335636 | − | 0.0138814i | ||||
\(196\) | 10.0911 | − | 26.6080i | 0.720793 | − | 1.90057i | ||||
\(197\) | 5.79430 | − | 6.54042i | 0.412827 | − | 0.465985i | −0.504911 | − | 0.863171i | \(-0.668475\pi\) |
0.917738 | + | 0.397186i | \(0.130013\pi\) | |||||||
\(198\) | −11.1922 | − | 7.70766i | −0.795394 | − | 0.547760i | ||||
\(199\) | −5.65644 | − | 22.9491i | −0.400975 | − | 1.62682i | −0.730670 | − | 0.682731i | \(-0.760792\pi\) |
0.329695 | − | 0.944087i | \(-0.393054\pi\) | |||||||
\(200\) | −2.36293 | + | 5.25022i | −0.167085 | + | 0.371247i | ||||
\(201\) | 7.40525 | + | 10.0527i | 0.522326 | + | 0.709062i | ||||
\(202\) | −9.69288 | − | 4.36241i | −0.681989 | − | 0.306938i | ||||
\(203\) | 27.4266 | − | 3.33019i | 1.92497 | − | 0.233734i | ||||
\(204\) | 18.8783 | − | 17.7900i | 1.32174 | − | 1.24555i | ||||
\(205\) | 2.95879 | − | 1.12212i | 0.206651 | − | 0.0783724i | ||||
\(206\) | −11.5663 | − | 10.2468i | −0.805860 | − | 0.713930i | ||||
\(207\) | 3.30350 | − | 0.404721i | 0.229609 | − | 0.0281301i | ||||
\(208\) | −0.286454 | − | 0.323339i | −0.0198620 | − | 0.0224196i | ||||
\(209\) | 13.7314 | − | 5.20763i | 0.949819 | − | 0.360219i | ||||
\(210\) | −4.16818 | − | 19.3666i | −0.287631 | − | 1.33642i | ||||
\(211\) | 0.778687 | − | 0.610062i | 0.0536070 | − | 0.0419984i | −0.589558 | − | 0.807726i | \(-0.700698\pi\) |
0.643165 | + | 0.765728i | \(0.277621\pi\) | |||||||
\(212\) | 18.5863 | − | 23.7237i | 1.27651 | − | 1.62935i | ||||
\(213\) | −1.66518 | + | 1.22665i | −0.114097 | + | 0.0840484i | ||||
\(214\) | −8.53938 | − | 5.89431i | −0.583740 | − | 0.402927i | ||||
\(215\) | −0.221508 | + | 1.82428i | −0.0151067 | + | 0.124415i | ||||
\(216\) | 0.278927 | + | 8.76278i | 0.0189786 | + | 0.596232i | ||||
\(217\) | −13.6760 | + | 4.26160i | −0.928385 | + | 0.289297i | ||||
\(218\) | 16.9936 | + | 28.1109i | 1.15095 | + | 1.90391i | ||||
\(219\) | −5.73262 | + | 20.6067i | −0.387374 | + | 1.39247i | ||||
\(220\) | −6.91543 | − | 2.15494i | −0.466238 | − | 0.145286i | ||||
\(221\) | −1.11163 | − | 0.583426i | −0.0747760 | − | 0.0392455i | ||||
\(222\) | −14.1430 | − | 0.419747i | −0.949214 | − | 0.0281715i | ||||
\(223\) | −11.3914 | + | 5.12686i | −0.762826 | + | 0.343320i | −0.754202 | − | 0.656643i | \(-0.771976\pi\) |
−0.00862399 | + | 0.999963i | \(0.502745\pi\) | |||||||
\(224\) | 7.39332 | − | 29.9959i | 0.493987 | − | 2.00418i | ||||
\(225\) | 7.24642 | + | 7.23085i | 0.483094 | + | 0.482057i | ||||
\(226\) | 16.2083 | + | 7.29476i | 1.07816 | + | 0.485240i | ||||
\(227\) | 2.71192 | − | 3.46151i | 0.179997 | − | 0.229749i | −0.688758 | − | 0.724991i | \(-0.741844\pi\) |
0.868755 | + | 0.495242i | \(0.164921\pi\) | |||||||
\(228\) | −28.5692 | − | 18.4496i | −1.89204 | − | 1.22185i | ||||
\(229\) | −0.854679 | + | 4.66383i | −0.0564788 | + | 0.308195i | −0.999714 | − | 0.0239318i | \(-0.992382\pi\) |
0.943235 | + | 0.332127i | \(0.107766\pi\) | |||||||
\(230\) | 2.78472 | − | 1.25330i | 0.183619 | − | 0.0826402i | ||||
\(231\) | −14.1040 | + | 4.87549i | −0.927978 | + | 0.320784i | ||||
\(232\) | −10.8929 | + | 2.68486i | −0.715154 | + | 0.176270i | ||||
\(233\) | 0.861679 | + | 7.09656i | 0.0564505 | + | 0.464911i | 0.993334 | + | 0.115270i | \(0.0367734\pi\) |
−0.936884 | + | 0.349641i | \(0.886304\pi\) | |||||||
\(234\) | 1.42352 | − | 0.541620i | 0.0930581 | − | 0.0354068i | ||||
\(235\) | −14.3911 | − | 2.63727i | −0.938772 | − | 0.172036i | ||||
\(236\) | 3.04770 | + | 0.558511i | 0.198388 | + | 0.0363560i | ||||
\(237\) | 18.0962 | − | 15.0978i | 1.17548 | − | 0.980708i | ||||
\(238\) | −5.91049 | − | 48.6772i | −0.383120 | − | 3.15528i | ||||
\(239\) | 14.7468 | − | 3.63477i | 0.953893 | − | 0.235113i | 0.268494 | − | 0.963281i | \(-0.413474\pi\) |
0.685399 | + | 0.728168i | \(0.259628\pi\) | |||||||
\(240\) | −1.32535 | − | 3.83405i | −0.0855513 | − | 0.247487i | ||||
\(241\) | −0.383893 | + | 0.172776i | −0.0247287 | + | 0.0111295i | −0.422739 | − | 0.906251i | \(-0.638931\pi\) |
0.398011 | + | 0.917381i | \(0.369701\pi\) | |||||||
\(242\) | 2.63848 | − | 14.3977i | 0.169608 | − | 0.925520i | ||||
\(243\) | 14.7494 | + | 5.04538i | 0.946173 | + | 0.323661i | ||||
\(244\) | 0.0486325 | − | 0.0620748i | 0.00311338 | − | 0.00397393i | ||||
\(245\) | −11.7943 | − | 5.30820i | −0.753512 | − | 0.339128i | ||||
\(246\) | −4.15533 | + | 8.54590i | −0.264934 | + | 0.544866i | ||||
\(247\) | −0.393899 | + | 1.59811i | −0.0250632 | + | 0.101685i | ||||
\(248\) | 5.30432 | − | 2.38728i | 0.336824 | − | 0.151592i | ||||
\(249\) | 0.405840 | − | 13.6744i | 0.0257191 | − | 0.866580i | ||||
\(250\) | 20.5036 | + | 10.7611i | 1.29676 | + | 0.680592i | ||||
\(251\) | 13.6830 | + | 4.26379i | 0.863662 | + | 0.269128i | 0.697162 | − | 0.716914i | \(-0.254446\pi\) |
0.166500 | + | 0.986041i | \(0.446753\pi\) | |||||||
\(252\) | 28.4618 | + | 19.6006i | 1.79292 | + | 1.23472i | ||||
\(253\) | −1.19008 | − | 1.96863i | −0.0748197 | − | 0.123767i | ||||
\(254\) | −6.94765 | + | 2.16498i | −0.435935 | + | 0.135843i | ||||
\(255\) | −7.55273 | − | 9.05269i | −0.472970 | − | 0.566902i | ||||
\(256\) | −0.269831 | + | 2.22226i | −0.0168644 | + | 0.138891i | ||||
\(257\) | −21.3241 | − | 14.7190i | −1.33016 | − | 0.918145i | −0.330491 | − | 0.943809i | \(-0.607214\pi\) |
−0.999671 | + | 0.0256644i | \(0.991830\pi\) | |||||||
\(258\) | −3.27296 | − | 4.44307i | −0.203765 | − | 0.276613i | ||||
\(259\) | −9.58234 | + | 12.2310i | −0.595418 | + | 0.759995i | ||||
\(260\) | 0.639054 | − | 0.500667i | 0.0396324 | − | 0.0310500i | ||||
\(261\) | −2.38314 | + | 19.8048i | −0.147512 | + | 1.22589i | ||||
\(262\) | 13.5201 | − | 5.12748i | 0.835272 | − | 0.316777i | ||||
\(263\) | −1.58372 | − | 1.78764i | −0.0976561 | − | 0.110231i | 0.697651 | − | 0.716438i | \(-0.254229\pi\) |
−0.795307 | + | 0.606207i | \(0.792690\pi\) | |||||||
\(264\) | 5.44683 | − | 2.65569i | 0.335229 | − | 0.163447i | ||||
\(265\) | −10.2527 | − | 9.08306i | −0.629816 | − | 0.557968i | ||||
\(266\) | −60.1098 | + | 22.7966i | −3.68557 | + | 1.39775i | ||||
\(267\) | 18.2524 | + | 19.3690i | 1.11703 | + | 1.18536i | ||||
\(268\) | −19.8392 | + | 2.40892i | −1.21187 | + | 0.147148i | ||||
\(269\) | −2.73514 | − | 1.23099i | −0.166765 | − | 0.0750546i | 0.325311 | − | 0.945607i | \(-0.394531\pi\) |
−0.492076 | + | 0.870552i | \(0.663762\pi\) | |||||||
\(270\) | 14.2972 | + | 0.408941i | 0.870100 | + | 0.0248873i | ||||
\(271\) | −5.87405 | + | 13.0516i | −0.356823 | + | 0.792828i | 0.642818 | + | 0.766019i | \(0.277765\pi\) |
−0.999641 | + | 0.0268088i | \(0.991465\pi\) | |||||||
\(272\) | −2.40302 | − | 9.74943i | −0.145704 | − | 0.591146i | ||||
\(273\) | 0.448261 | − | 1.61134i | 0.0271300 | − | 0.0975226i | ||||
\(274\) | 1.28736 | − | 1.45312i | 0.0777720 | − | 0.0877864i | ||||
\(275\) | 2.50905 | − | 6.61583i | 0.151302 | − | 0.398950i | ||||
\(276\) | −2.03597 | + | 4.92275i | −0.122551 | + | 0.296315i | ||||
\(277\) | 8.29809 | + | 15.8107i | 0.498584 | + | 0.949973i | 0.996567 | + | 0.0827859i | \(0.0263818\pi\) |
−0.497983 | + | 0.867187i | \(0.665926\pi\) | |||||||
\(278\) | −43.3702 | − | 16.4481i | −2.60117 | − | 0.986494i | ||||
\(279\) | −0.635560 | − | 10.3229i | −0.0380500 | − | 0.618016i | ||||
\(280\) | 8.43366 | + | 2.62804i | 0.504008 | + | 0.157055i | ||||
\(281\) | 7.15982 | + | 29.0485i | 0.427119 | + | 1.73289i | 0.651740 | + | 0.758443i | \(0.274040\pi\) |
−0.224621 | + | 0.974446i | \(0.572114\pi\) | |||||||
\(282\) | 36.8825 | − | 23.8744i | 2.19632 | − | 1.42170i | ||||
\(283\) | −3.30380 | + | 27.2093i | −0.196391 | + | 1.61742i | 0.477527 | + | 0.878617i | \(0.341533\pi\) |
−0.673918 | + | 0.738806i | \(0.735390\pi\) | |||||||
\(284\) | −0.399026 | − | 3.28628i | −0.0236779 | − | 0.195005i | ||||
\(285\) | −9.15401 | + | 12.4547i | −0.542237 | + | 0.737751i | ||||
\(286\) | −0.744387 | − | 0.744387i | −0.0440165 | − | 0.0440165i | ||||
\(287\) | 4.84941 | + | 9.23977i | 0.286251 | + | 0.545407i | ||||
\(288\) | 19.7616 | + | 10.3446i | 1.16446 | + | 0.609561i | ||||
\(289\) | −6.92024 | − | 10.0257i | −0.407073 | − | 0.589747i | ||||
\(290\) | 3.29917 | + | 18.0030i | 0.193734 | + | 1.05717i | ||||
\(291\) | −11.0158 | + | 26.6351i | −0.645760 | + | 1.56138i | ||||
\(292\) | −24.2085 | − | 24.2085i | −1.41669 | − | 1.41669i | ||||
\(293\) | −24.1695 | + | 1.46199i | −1.41200 | + | 0.0854101i | −0.748682 | − | 0.662930i | \(-0.769313\pi\) |
−0.663316 | + | 0.748340i | \(0.730851\pi\) | |||||||
\(294\) | 36.7081 | − | 12.6893i | 2.14086 | − | 0.740052i | ||||
\(295\) | 0.337014 | − | 1.36732i | 0.0196217 | − | 0.0796084i | ||||
\(296\) | 3.26407 | − | 5.39943i | 0.189720 | − | 0.313835i | ||||
\(297\) | −0.992381 | − | 10.7287i | −0.0575838 | − | 0.622541i | ||||
\(298\) | 14.5169 | + | 16.3862i | 0.840943 | + | 0.949228i | ||||
\(299\) | 0.257352 | + | 0.0155669i | 0.0148831 | + | 0.000900259i | ||||
\(300\) | −15.7813 | + | 4.40851i | −0.911133 | + | 0.254525i | ||||
\(301\) | −6.05994 | −0.349289 | ||||||||
\(302\) | 17.2903 | 0.994947 | ||||||||
\(303\) | −2.26742 | − | 8.11678i | −0.130260 | − | 0.466297i | ||||
\(304\) | −11.6567 | + | 6.11790i | −0.668557 | + | 0.350886i | ||||
\(305\) | −0.0268269 | − | 0.0237665i | −0.00153610 | − | 0.00136087i | ||||
\(306\) | 35.1499 | + | 4.22963i | 2.00939 | + | 0.241792i | ||||
\(307\) | 1.00466 | + | 2.23227i | 0.0573392 | + | 0.127403i | 0.938342 | − | 0.345709i | \(-0.112362\pi\) |
−0.881003 | + | 0.473112i | \(0.843131\pi\) | |||||||
\(308\) | 4.30556 | − | 23.4947i | 0.245332 | − | 1.33873i | ||||
\(309\) | 0.363450 | − | 12.2461i | 0.0206760 | − | 0.696658i | ||||
\(310\) | −3.36507 | − | 8.87295i | −0.191123 | − | 0.503950i | ||||
\(311\) | −29.2741 | − | 11.1022i | −1.65998 | − | 0.629547i | −0.666704 | − | 0.745323i | \(-0.732295\pi\) |
−0.993275 | + | 0.115775i | \(0.963065\pi\) | |||||||
\(312\) | −0.101829 | + | 0.671485i | −0.00576493 | + | 0.0380154i | ||||
\(313\) | 3.06824i | 0.173427i | 0.996233 | + | 0.0867136i | \(0.0276365\pi\) | ||||
−0.996233 | + | 0.0867136i | \(0.972364\pi\) | |||||||
\(314\) | −4.66374 | + | 26.9724i | −0.263190 | + | 1.52214i | ||||
\(315\) | 9.67324 | − | 12.3744i | 0.545025 | − | 0.697216i | ||||
\(316\) | 6.79962 | + | 37.1043i | 0.382508 | + | 2.08728i | ||||
\(317\) | −5.39206 | + | 14.2177i | −0.302848 | + | 0.798545i | 0.694056 | + | 0.719921i | \(0.255822\pi\) |
−0.996904 | + | 0.0786238i | \(0.974947\pi\) | |||||||
\(318\) | 41.1130 | − | 1.26442i | 2.30550 | − | 0.0709054i | ||||
\(319\) | 13.1632 | − | 4.10182i | 0.736998 | − | 0.229658i | ||||
\(320\) | 15.5234 | + | 2.84477i | 0.867783 | + | 0.159027i | ||||
\(321\) | −0.748918 | − | 8.19262i | −0.0418005 | − | 0.457267i | ||||
\(322\) | 5.20963 | + | 8.61779i | 0.290322 | + | 0.480251i | ||||
\(323\) | −25.3707 | + | 28.6376i | −1.41166 | + | 1.59344i | ||||
\(324\) | −18.6406 | + | 16.5858i | −1.03559 | + | 0.921433i | ||||
\(325\) | 0.450486 | + | 0.652642i | 0.0249885 | + | 0.0362021i | ||||
\(326\) | 0.669350i | 0.0370719i | ||||||||
\(327\) | −8.48237 | + | 24.6239i | −0.469076 | + | 1.36170i | ||||
\(328\) | −2.40709 | − | 3.48727i | −0.132909 | − | 0.192553i | ||||
\(329\) | 2.91305 | − | 48.1584i | 0.160602 | − | 2.65506i | ||||
\(330\) | −3.78813 | − | 9.13146i | −0.208530 | − | 0.502671i | ||||
\(331\) | −0.886551 | − | 0.465298i | −0.0487292 | − | 0.0255751i | 0.440183 | − | 0.897908i | \(-0.354914\pi\) |
−0.488912 | + | 0.872333i | \(0.662606\pi\) | |||||||
\(332\) | 18.7391 | + | 11.3282i | 1.02844 | + | 0.621716i | ||||
\(333\) | −6.92801 | − | 8.82340i | −0.379653 | − | 0.483519i | ||||
\(334\) | 25.4393 | − | 19.9304i | 1.39198 | − | 1.09054i | ||||
\(335\) | 0.548425 | + | 9.06655i | 0.0299637 | + | 0.495358i | ||||
\(336\) | 12.0242 | − | 5.86260i | 0.655974 | − | 0.319831i | ||||
\(337\) | −10.2463 | − | 0.619787i | −0.558152 | − | 0.0337620i | −0.221105 | − | 0.975250i | \(-0.570966\pi\) |
−0.337046 | + | 0.941488i | \(0.609428\pi\) | |||||||
\(338\) | −27.8182 | + | 5.09787i | −1.51311 | + | 0.277288i | ||||
\(339\) | 3.79155 | + | 13.5728i | 0.205929 | + | 0.737171i | ||||
\(340\) | 18.5616 | − | 3.40153i | 1.00664 | − | 0.184474i | ||||
\(341\) | −6.32971 | + | 3.32209i | −0.342773 | + | 0.179901i | ||||
\(342\) | −5.64436 | − | 46.0715i | −0.305212 | − | 2.49126i | ||||
\(343\) | 4.03564 | − | 12.9508i | 0.217904 | − | 0.699279i | ||||
\(344\) | 2.44282 | − | 0.296612i | 0.131708 | − | 0.0159922i | ||||
\(345\) | 2.17743 | + | 1.05875i | 0.117229 | + | 0.0570011i | ||||
\(346\) | −35.3727 | − | 27.7128i | −1.90165 | − | 1.48985i | ||||
\(347\) | 5.56485 | − | 1.37161i | 0.298737 | − | 0.0736320i | −0.0870984 | − | 0.996200i | \(-0.527759\pi\) |
0.385835 | + | 0.922568i | \(0.373913\pi\) | |||||||
\(348\) | −25.7271 | − | 18.9090i | −1.37912 | − | 1.01363i | ||||
\(349\) | 6.97812 | − | 6.18208i | 0.373530 | − | 0.330919i | −0.455383 | − | 0.890295i | \(-0.650498\pi\) |
0.828914 | + | 0.559376i | \(0.188959\pi\) | |||||||
\(350\) | −10.9835 | + | 28.9611i | −0.587093 | + | 1.54804i | ||||
\(351\) | 1.05277 | + | 0.591531i | 0.0561930 | + | 0.0315736i | ||||
\(352\) | 0.930863 | − | 15.3890i | 0.0496152 | − | 0.820236i | ||||
\(353\) | −18.4862 | − | 7.01089i | −0.983922 | − | 0.373152i | −0.190408 | − | 0.981705i | \(-0.560981\pi\) |
−0.793513 | + | 0.608553i | \(0.791750\pi\) | |||||||
\(354\) | 2.07943 | + | 3.68229i | 0.110520 | + | 0.195711i | ||||
\(355\) | −1.50183 | + | 0.0908442i | −0.0797091 | + | 0.00482151i | ||||
\(356\) | −41.3610 | + | 10.1946i | −2.19213 | + | 0.540312i | ||||
\(357\) | 26.6325 | − | 28.3226i | 1.40954 | − | 1.49899i | ||||
\(358\) | 20.6112 | + | 14.2269i | 1.08933 | + | 0.751913i | ||||
\(359\) | 12.1886 | − | 27.0820i | 0.643291 | − | 1.42933i | −0.244758 | − | 0.969584i | \(-0.578709\pi\) |
0.888049 | − | 0.459749i | \(-0.152061\pi\) | |||||||
\(360\) | −3.29369 | + | 5.46168i | −0.173593 | + | 0.287856i | ||||
\(361\) | 27.5912 | + | 14.4810i | 1.45217 | + | 0.762155i | ||||
\(362\) | −9.85312 | − | 25.9805i | −0.517869 | − | 1.36551i | ||||
\(363\) | 10.1054 | − | 5.70665i | 0.530398 | − | 0.299521i | ||||
\(364\) | 1.89298 | + | 1.89298i | 0.0992190 | + | 0.0992190i | ||||
\(365\) | −11.6470 | + | 10.3183i | −0.609631 | + | 0.540086i | ||||
\(366\) | 0.107575 | − | 0.00330846i | 0.00562305 | − | 0.000172936i | ||||
\(367\) | 0.437665 | + | 0.723987i | 0.0228459 | + | 0.0377918i | 0.866996 | − | 0.498316i | \(-0.166048\pi\) |
−0.844150 | + | 0.536108i | \(0.819894\pi\) | |||||||
\(368\) | 1.27175 | + | 1.62327i | 0.0662946 | + | 0.0846188i | ||||
\(369\) | −7.31331 | + | 1.81091i | −0.380716 | + | 0.0942723i | ||||
\(370\) | −8.47116 | − | 5.84722i | −0.440395 | − | 0.303983i | ||||
\(371\) | 25.6587 | − | 37.1731i | 1.33214 | − | 1.92993i | ||||
\(372\) | 14.8877 | + | 7.23894i | 0.771890 | + | 0.375321i | ||||
\(373\) | 6.34549 | − | 10.4967i | 0.328557 | − | 0.543500i | −0.647210 | − | 0.762312i | \(-0.724064\pi\) |
0.975767 | + | 0.218812i | \(0.0702181\pi\) | |||||||
\(374\) | −7.27999 | − | 23.3623i | −0.376439 | − | 1.20804i | ||||
\(375\) | 3.86293 | + | 17.9484i | 0.199481 | + | 0.926849i | ||||
\(376\) | 1.18290 | + | 19.5557i | 0.0610034 | + | 1.00851i | ||||
\(377\) | −0.459722 | + | 1.47530i | −0.0236769 | + | 0.0759818i | ||||
\(378\) | 4.34419 | + | 46.9653i | 0.223441 | + | 2.41564i | ||||
\(379\) | 10.0770 | + | 32.3382i | 0.517621 | + | 1.66110i | 0.729635 | + | 0.683837i | \(0.239690\pi\) |
−0.212014 | + | 0.977267i | \(0.568002\pi\) | |||||||
\(380\) | −10.1538 | − | 22.5609i | −0.520880 | − | 1.15735i | ||||
\(381\) | −4.84691 | − | 3.13007i | −0.248315 | − | 0.160358i | ||||
\(382\) | −47.9957 | − | 5.82774i | −2.45568 | − | 0.298173i | ||||
\(383\) | −9.45501 | + | 21.0082i | −0.483129 | + | 1.07347i | 0.495645 | + | 0.868525i | \(0.334932\pi\) |
−0.978774 | + | 0.204943i | \(0.934299\pi\) | |||||||
\(384\) | −18.1628 | + | 11.7570i | −0.926868 | + | 0.599971i | ||||
\(385\) | −10.5407 | − | 2.59804i | −0.537202 | − | 0.132408i | ||||
\(386\) | −14.6310 | − | 2.68123i | −0.744698 | − | 0.136471i | ||||
\(387\) | 1.04252 | − | 4.24931i | 0.0529941 | − | 0.216005i | ||||
\(388\) | −28.4522 | − | 36.3166i | −1.44444 | − | 1.84370i | ||||
\(389\) | 3.91693 | + | 15.8916i | 0.198596 | + | 0.805736i | 0.982715 | + | 0.185125i | \(0.0592690\pi\) |
−0.784119 | + | 0.620611i | \(0.786885\pi\) | |||||||
\(390\) | 1.08345 | + | 0.231966i | 0.0548625 | + | 0.0117461i | ||||
\(391\) | 5.12872 | + | 3.10042i | 0.259370 | + | 0.156795i | ||||
\(392\) | −3.12186 | + | 17.0354i | −0.157678 | + | 0.860419i | ||||
\(393\) | 9.98876 | + | 5.62660i | 0.503866 | + | 0.283825i | ||||
\(394\) | −9.87524 | + | 16.3356i | −0.497508 | + | 0.822978i | ||||
\(395\) | 17.0197 | − | 2.06656i | 0.856353 | − | 0.103980i | ||||
\(396\) | 15.7341 | + | 7.06099i | 0.790666 | + | 0.354828i | ||||
\(397\) | 18.1202 | − | 14.1963i | 0.909426 | − | 0.712490i | −0.0487068 | − | 0.998813i | \(-0.515510\pi\) |
0.958133 | + | 0.286323i | \(0.0924331\pi\) | |||||||
\(398\) | 21.1914 | + | 47.0853i | 1.06223 | + | 2.36017i | ||||
\(399\) | −44.4097 | − | 25.0157i | −2.22327 | − | 1.25235i | ||||
\(400\) | −1.51792 | + | 6.15845i | −0.0758961 | + | 0.307922i | ||||
\(401\) | 8.03072 | + | 6.29167i | 0.401035 | + | 0.314191i | 0.796892 | − | 0.604121i | \(-0.206476\pi\) |
−0.395858 | + | 0.918312i | \(0.629553\pi\) | |||||||
\(402\) | −19.8708 | − | 18.6851i | −0.991068 | − | 0.931926i | ||||
\(403\) | 0.0965728 | − | 0.795348i | 0.00481063 | − | 0.0396191i | ||||
\(404\) | 13.0973 | + | 3.22819i | 0.651614 | + | 0.160608i | ||||
\(405\) | 7.01293 | + | 8.91181i | 0.348475 | + | 0.442831i | ||||
\(406\) | −57.6226 | + | 17.9559i | −2.85976 | + | 0.891137i | ||||
\(407\) | −3.60341 | + | 6.86573i | −0.178615 | + | 0.340322i | ||||
\(408\) | −9.34951 | + | 12.7207i | −0.462870 | + | 0.629767i | ||||
\(409\) | −38.3605 | + | 2.32039i | −1.89681 | + | 0.114736i | −0.967231 | − | 0.253896i | \(-0.918288\pi\) |
−0.929575 | + | 0.368632i | \(0.879826\pi\) | |||||||
\(410\) | −5.91595 | + | 3.57632i | −0.292168 | + | 0.176622i | ||||
\(411\) | 1.53854 | + | 0.0456619i | 0.0758904 | + | 0.00225234i | ||||
\(412\) | 16.7819 | + | 10.1450i | 0.826783 | + | 0.499808i | ||||
\(413\) | 4.60997 | + | 0.559751i | 0.226842 | + | 0.0275436i | ||||
\(414\) | −6.93914 | + | 2.17051i | −0.341040 | + | 0.106675i | ||||
\(415\) | 5.65350 | − | 8.19051i | 0.277519 | − | 0.402056i | ||||
\(416\) | 1.36019 | + | 1.06564i | 0.0666886 | + | 0.0522471i | ||||
\(417\) | −12.0152 | − | 34.7581i | −0.588386 | − | 1.70211i | ||||
\(418\) | −27.4552 | + | 16.5972i | −1.34288 | + | 0.811797i | ||||
\(419\) | 8.33007 | + | 21.9646i | 0.406950 | + | 1.07304i | 0.969244 | + | 0.246102i | \(0.0791499\pi\) |
−0.562293 | + | 0.826938i | \(0.690081\pi\) | |||||||
\(420\) | 9.63322 | + | 23.2213i | 0.470053 | + | 1.13308i | ||||
\(421\) | −10.1505 | + | 10.1505i | −0.494703 | + | 0.494703i | −0.909784 | − | 0.415081i | \(-0.863753\pi\) |
0.415081 | + | 0.909784i | \(0.363753\pi\) | |||||||
\(422\) | −1.43300 | + | 1.61753i | −0.0697575 | + | 0.0787399i | ||||
\(423\) | 33.2682 | + | 10.3276i | 1.61755 | + | 0.502143i | ||||
\(424\) | −8.52378 | + | 16.2407i | −0.413951 | + | 0.788718i | ||||
\(425\) | 2.22192 | + | 18.2992i | 0.107779 | + | 0.887639i | ||||
\(426\) | 3.09510 | − | 3.29152i | 0.149958 | − | 0.159475i | ||||
\(427\) | 0.0671380 | − | 0.0972662i | 0.00324904 | − | 0.00470704i | ||||
\(428\) | 12.0078 | + | 5.40428i | 0.580420 | + | 0.261226i | ||||
\(429\) | 0.0750888 | − | 0.831273i | 0.00362532 | − | 0.0401342i | ||||
\(430\) | −0.242392 | − | 4.00721i | −0.0116892 | − | 0.193245i | ||||
\(431\) | −4.28130 | − | 3.79290i | −0.206223 | − | 0.182698i | 0.553689 | − | 0.832723i | \(-0.313220\pi\) |
−0.759912 | + | 0.650026i | \(0.774758\pi\) | |||||||
\(432\) | 2.04236 | + | 9.44009i | 0.0982631 | + | 0.454186i | ||||
\(433\) | −22.2094 | − | 1.34342i | −1.06731 | − | 0.0645606i | −0.482632 | − | 0.875823i | \(-0.660319\pi\) |
−0.584682 | + | 0.811262i | \(0.698781\pi\) | |||||||
\(434\) | 27.7086 | − | 14.5426i | 1.33006 | − | 0.698067i | ||||
\(435\) | −9.28445 | + | 11.1527i | −0.445155 | + | 0.534730i | ||||
\(436\) | −27.6432 | − | 31.2027i | −1.32387 | − | 1.49434i | ||||
\(437\) | 2.33754 | − | 7.50144i | 0.111820 | − | 0.358842i | ||||
\(438\) | 4.20366 | − | 46.5368i | 0.200859 | − | 2.22362i | ||||
\(439\) | 4.39383 | − | 5.60831i | 0.209706 | − | 0.267670i | −0.670870 | − | 0.741575i | \(-0.734079\pi\) |
0.880576 | + | 0.473905i | \(0.157156\pi\) | |||||||
\(440\) | 4.37620 | + | 0.531366i | 0.208627 | + | 0.0253319i | ||||
\(441\) | 26.3701 | + | 15.9026i | 1.25572 | + | 0.757266i | ||||
\(442\) | 2.61839 | + | 0.815923i | 0.124544 | + | 0.0388095i | ||||
\(443\) | −4.74093 | + | 4.74093i | −0.225249 | + | 0.225249i | −0.810704 | − | 0.585456i | \(-0.800916\pi\) |
0.585456 | + | 0.810704i | \(0.300916\pi\) | |||||||
\(444\) | 17.7503 | − | 2.71131i | 0.842391 | − | 0.128673i | ||||
\(445\) | 3.48994 | + | 19.0440i | 0.165439 | + | 0.902772i | ||||
\(446\) | 22.4589 | − | 15.5022i | 1.06346 | − | 0.734052i | ||||
\(447\) | −2.60239 | + | 17.1608i | −0.123089 | + | 0.811679i | ||||
\(448\) | −3.14225 | + | 51.9475i | −0.148457 | + | 2.45429i | ||||
\(449\) | −10.7824 | + | 10.7824i | −0.508852 | + | 0.508852i | −0.914174 | − | 0.405322i | \(-0.867160\pi\) |
0.405322 | + | 0.914174i | \(0.367160\pi\) | |||||||
\(450\) | −18.4184 | − | 12.6841i | −0.868250 | − | 0.597933i | ||||
\(451\) | 3.21157 | + | 4.09926i | 0.151227 | + | 0.193027i | ||||
\(452\) | −21.9011 | − | 5.39813i | −1.03014 | − | 0.253907i | ||||
\(453\) | 8.78218 | + | 10.5263i | 0.412623 | + | 0.494569i | ||||
\(454\) | −4.46427 | + | 8.50596i | −0.209519 | + | 0.399204i | ||||
\(455\) | 0.910733 | − | 0.806839i | 0.0426958 | − | 0.0378252i | ||||
\(456\) | 19.1264 | + | 7.91037i | 0.895675 | + | 0.370437i | ||||
\(457\) | 33.9207 | − | 23.4137i | 1.58674 | − | 1.09525i | 0.642357 | − | 0.766406i | \(-0.277957\pi\) |
0.944385 | − | 0.328843i | \(-0.106659\pi\) | |||||||
\(458\) | − | 10.3581i | − | 0.484004i | ||||||
\(459\) | 15.2785 | + | 23.5475i | 0.713139 | + | 1.09910i | ||||
\(460\) | −3.18939 | + | 2.20148i | −0.148706 | + | 0.102644i | ||||
\(461\) | −12.6190 | − | 24.0434i | −0.587724 | − | 1.11981i | −0.979818 | − | 0.199890i | \(-0.935942\pi\) |
0.392094 | − | 0.919925i | \(-0.371751\pi\) | |||||||
\(462\) | 28.3867 | − | 16.0303i | 1.32067 | − | 0.745796i | ||||
\(463\) | 3.90397 | − | 2.36003i | 0.181433 | − | 0.109680i | −0.423707 | − | 0.905799i | \(-0.639271\pi\) |
0.605139 | + | 0.796120i | \(0.293117\pi\) | |||||||
\(464\) | −11.2706 | + | 5.07247i | −0.523222 | + | 0.235483i | ||||
\(465\) | 3.69263 | − | 6.55543i | 0.171242 | − | 0.304001i | ||||
\(466\) | −4.64605 | − | 14.9097i | −0.215224 | − | 0.690678i | ||||
\(467\) | −25.8220 | + | 9.79298i | −1.19490 | + | 0.453165i | −0.870222 | − | 0.492660i | \(-0.836025\pi\) |
−0.324676 | + | 0.945825i | \(0.605255\pi\) | |||||||
\(468\) | −1.65304 | + | 1.00172i | −0.0764117 | + | 0.0463047i | ||||
\(469\) | −29.4619 | + | 5.39910i | −1.36043 | + | 0.249307i | ||||
\(470\) | 31.9619 | 1.47429 | ||||||||
\(471\) | −18.7895 | + | 10.8606i | −0.865776 | + | 0.500432i | ||||
\(472\) | −1.88572 | −0.0867971 | ||||||||
\(473\) | −2.97462 | + | 0.545119i | −0.136773 | + | 0.0250646i | ||||
\(474\) | −32.9397 | + | 39.5679i | −1.51297 | + | 1.81741i | ||||
\(475\) | 22.5970 | − | 8.56990i | 1.03682 | − | 0.393214i | ||||
\(476\) | 18.5130 | + | 59.4104i | 0.848543 | + | 2.72307i | ||||
\(477\) | 21.6521 | + | 24.3873i | 0.991381 | + | 1.11662i | ||||
\(478\) | −30.2565 | + | 13.6173i | −1.38390 | + | 0.622843i | ||||
\(479\) | 29.4736 | − | 17.8174i | 1.34668 | − | 0.814098i | 0.354045 | − | 0.935228i | \(-0.384806\pi\) |
0.992637 | + | 0.121131i | \(0.0386520\pi\) | |||||||
\(480\) | 7.97903 | + | 14.1294i | 0.364191 | + | 0.644917i | ||||
\(481\) | −0.403862 | − | 0.769494i | −0.0184145 | − | 0.0350859i | ||||
\(482\) | 0.756868 | − | 0.522428i | 0.0344744 | − | 0.0237960i | ||||
\(483\) | −2.60039 | + | 7.54879i | −0.118322 | + | 0.343482i | ||||
\(484\) | 18.5758i | 0.844355i | ||||||||
\(485\) | −17.2565 | + | 11.9113i | −0.783578 | + | 0.540865i | ||||
\(486\) | −33.6800 | − | 5.03343i | −1.52776 | − | 0.228321i | ||||
\(487\) | 7.86060 | − | 6.96388i | 0.356198 | − | 0.315564i | −0.465979 | − | 0.884796i | \(-0.654298\pi\) |
0.822177 | + | 0.569232i | \(0.192759\pi\) | |||||||
\(488\) | −0.0223031 | + | 0.0424950i | −0.00100961 | + | 0.00192366i | ||||
\(489\) | −0.407498 | + | 0.339979i | −0.0184277 | + | 0.0153744i | ||||
\(490\) | 27.4338 | + | 6.76182i | 1.23933 | + | 0.305468i | ||||
\(491\) | −13.3584 | − | 17.0507i | −0.602856 | − | 0.769488i | 0.385325 | − | 0.922781i | \(-0.374089\pi\) |
−0.988181 | + | 0.153292i | \(0.951012\pi\) | |||||||
\(492\) | 3.23207 | − | 11.6182i | 0.145713 | − | 0.523787i | ||||
\(493\) | −25.3989 | + | 25.3989i | −1.14391 | + | 1.14391i | ||||
\(494\) | 0.217101 | − | 3.58911i | 0.00976784 | − | 0.161482i | ||||
\(495\) | 3.63513 | − | 6.94429i | 0.163387 | − | 0.312123i | ||||
\(496\) | 5.27377 | − | 3.64022i | 0.236799 | − | 0.163451i | ||||
\(497\) | −0.894337 | − | 4.88024i | −0.0401165 | − | 0.218909i | ||||
\(498\) | 4.51264 | + | 29.5432i | 0.202216 | + | 1.32386i | ||||
\(499\) | 0.745464 | − | 0.745464i | 0.0333715 | − | 0.0333715i | −0.690224 | − | 0.723596i | \(-0.742488\pi\) |
0.723596 | + | 0.690224i | \(0.242488\pi\) | |||||||
\(500\) | −28.0557 | − | 8.74251i | −1.25469 | − | 0.390977i | ||||
\(501\) | 25.0548 | + | 5.36424i | 1.11937 | + | 0.239656i | ||||
\(502\) | −31.0808 | − | 3.77389i | −1.38720 | − | 0.168437i | ||||
\(503\) | −14.5445 | + | 18.5647i | −0.648507 | + | 0.827758i | −0.993852 | − | 0.110718i | \(-0.964685\pi\) |
0.345345 | + | 0.938476i | \(0.387762\pi\) | |||||||
\(504\) | −19.1883 | − | 8.61118i | −0.854717 | − | 0.383572i | ||||
\(505\) | 1.82394 | − | 5.85324i | 0.0811645 | − | 0.260466i | ||||
\(506\) | 3.33244 | + | 3.76154i | 0.148145 | + | 0.167221i | ||||
\(507\) | −17.2331 | − | 14.3463i | −0.765349 | − | 0.637142i | ||||
\(508\) | 8.17731 | − | 4.29178i | 0.362810 | − | 0.190417i | ||||
\(509\) | 28.6429 | + | 1.73258i | 1.26957 | + | 0.0767951i | 0.681383 | − | 0.731927i | \(-0.261379\pi\) |
0.588191 | + | 0.808722i | \(0.299840\pi\) | |||||||
\(510\) | 19.7940 | + | 16.4782i | 0.876492 | + | 0.729667i | ||||
\(511\) | −38.4072 | − | 34.0258i | −1.69903 | − | 1.50521i | ||||
\(512\) | 1.21317 | + | 20.0561i | 0.0536150 | + | 0.886361i | ||||
\(513\) | 25.1813 | − | 26.8371i | 1.11178 | − | 1.18489i | ||||
\(514\) | 51.6170 | + | 23.2309i | 2.27673 | + | 1.02467i | ||||
\(515\) | 5.06300 | − | 7.33502i | 0.223102 | − | 0.323219i | ||||
\(516\) | 5.10191 | + | 4.79746i | 0.224599 | + | 0.211196i | ||||
\(517\) | −2.90215 | − | 23.9014i | −0.127636 | − | 1.05118i | ||||
\(518\) | 15.7741 | − | 30.0551i | 0.693075 | − | 1.32054i | ||||
\(519\) | −1.09520 | − | 35.6108i | −0.0480741 | − | 1.56314i | ||||
\(520\) | −0.327633 | + | 0.369821i | −0.0143676 | + | 0.0162177i | ||||
\(521\) | 15.0852 | − | 15.0852i | 0.660894 | − | 0.660894i | −0.294697 | − | 0.955591i | \(-0.595219\pi\) |
0.955591 | + | 0.294697i | \(0.0952187\pi\) | |||||||
\(522\) | −2.67788 | − | 43.4947i | −0.117208 | − | 1.90371i | ||||
\(523\) | −8.30135 | − | 21.8889i | −0.362993 | − | 0.957133i | −0.984758 | − | 0.173930i | \(-0.944353\pi\) |
0.621765 | − | 0.783204i | \(-0.286416\pi\) | |||||||
\(524\) | −15.7038 | + | 9.49326i | −0.686022 | + | 0.414715i | ||||
\(525\) | −23.2102 | + | 8.02332i | −1.01298 | + | 0.350167i | ||||
\(526\) | 4.10701 | + | 3.21763i | 0.179074 | + | 0.140295i | ||||
\(527\) | 10.5793 | − | 15.3268i | 0.460843 | − | 0.667647i | ||||
\(528\) | 5.37490 | − | 3.95938i | 0.233912 | − | 0.172310i | ||||
\(529\) | 21.6105 | + | 2.62399i | 0.939588 | + | 0.114087i | ||||
\(530\) | 25.6075 | + | 15.4803i | 1.11232 | + | 0.672420i | ||||
\(531\) | −1.18558 | + | 3.13627i | −0.0514496 | + | 0.136103i | ||||
\(532\) | 69.8185 | − | 42.2068i | 3.02702 | − | 1.82990i | ||||
\(533\) | −0.582579 | + | 0.0352396i | −0.0252343 | + | 0.00152639i | ||||
\(534\) | −46.8476 | − | 34.4324i | −2.02730 | − | 1.49003i | ||||
\(535\) | 2.78127 | − | 5.29928i | 0.120245 | − | 0.229108i | ||||
\(536\) | 11.6121 | − | 3.61848i | 0.501566 | − | 0.156294i | ||||
\(537\) | 1.80763 | + | 19.7742i | 0.0780052 | + | 0.853320i | ||||
\(538\) | 6.36198 | + | 1.56809i | 0.274284 | + | 0.0676050i | ||||
\(539\) | 2.56554 | − | 21.1292i | 0.110506 | − | 0.910097i | ||||
\(540\) | −17.9403 | + | 2.76008i | −0.772029 | + | 0.118775i | ||||
\(541\) | 18.2534 | + | 14.3006i | 0.784774 | + | 0.614832i | 0.927025 | − | 0.374999i | \(-0.122357\pi\) |
−0.142251 | + | 0.989831i | \(0.545434\pi\) | |||||||
\(542\) | 7.48262 | − | 30.3582i | 0.321406 | − | 1.30400i | ||||
\(543\) | 10.8123 | − | 19.1947i | 0.463998 | − | 0.823724i | ||||
\(544\) | 16.4842 | + | 36.6264i | 0.706755 | + | 1.57034i | ||||
\(545\) | −14.9143 | + | 11.6846i | −0.638858 | + | 0.500513i | ||||
\(546\) | −0.328705 | + | 3.63894i | −0.0140673 | + | 0.155732i | ||||
\(547\) | 17.3567 | − | 2.10749i | 0.742119 | − | 0.0901096i | 0.259260 | − | 0.965808i | \(-0.416521\pi\) |
0.482859 | + | 0.875698i | \(0.339598\pi\) | |||||||
\(548\) | −1.27456 | + | 2.10838i | −0.0544465 | + | 0.0900656i | ||||
\(549\) | 0.0566543 | + | 0.0638111i | 0.00241795 | + | 0.00272339i | ||||
\(550\) | −2.78624 | + | 15.2040i | −0.118806 | + | 0.648302i | ||||
\(551\) | 40.3008 | + | 24.3627i | 1.71687 | + | 1.03789i | ||||
\(552\) | 0.678754 | − | 3.17027i | 0.0288897 | − | 0.134935i | ||||
\(553\) | 13.5301 | + | 54.8936i | 0.575356 | + | 2.33431i | ||||
\(554\) | −24.0568 | − | 30.7062i | −1.02207 | − | 1.30458i | ||||
\(555\) | −0.742935 | − | 8.12717i | −0.0315358 | − | 0.344979i | ||||
\(556\) | 57.9004 | + | 10.6106i | 2.45552 | + | 0.449991i | ||||
\(557\) | −16.8643 | − | 4.15668i | −0.714564 | − | 0.176124i | −0.134757 | − | 0.990879i | \(-0.543026\pi\) |
−0.579806 | + | 0.814755i | \(0.696872\pi\) | |||||||
\(558\) | 5.43064 | + | 21.9315i | 0.229897 | + | 0.928433i | ||||
\(559\) | 0.139105 | − | 0.309079i | 0.00588352 | − | 0.0130726i | ||||
\(560\) | 9.66072 | + | 1.17302i | 0.408240 | + | 0.0495693i | ||||
\(561\) | 10.5252 | − | 16.2983i | 0.444375 | − | 0.688115i | ||||
\(562\) | −26.8236 | − | 59.5997i | −1.13149 | − | 2.51406i | ||||
\(563\) | 1.52791 | + | 4.90322i | 0.0643935 | + | 0.206646i | 0.981310 | − | 0.192433i | \(-0.0616377\pi\) |
−0.916917 | + | 0.399079i | \(0.869330\pi\) | |||||||
\(564\) | −40.5780 | + | 38.2388i | −1.70864 | + | 1.61014i | ||||
\(565\) | −3.04997 | + | 9.78771i | −0.128313 | + | 0.411772i | ||||
\(566\) | −3.61529 | − | 59.7679i | −0.151962 | − | 2.51223i | ||||
\(567\) | −26.3859 | + | 26.4996i | −1.10810 | + | 1.11288i | ||||
\(568\) | 0.599385 | + | 1.92349i | 0.0251496 | + | 0.0807080i | ||||
\(569\) | −0.208033 | + | 0.344129i | −0.00872120 | + | 0.0144266i | −0.860111 | − | 0.510106i | \(-0.829606\pi\) |
0.851390 | + | 0.524533i | \(0.175760\pi\) | |||||||
\(570\) | 14.7656 | − | 30.3671i | 0.618464 | − | 1.27194i | ||||
\(571\) | 10.2550 | − | 14.8570i | 0.429159 | − | 0.621744i | −0.547432 | − | 0.836850i | \(-0.684394\pi\) |
0.976591 | + | 0.215106i | \(0.0690097\pi\) | |||||||
\(572\) | 1.09948 | + | 0.758916i | 0.0459715 | + | 0.0317319i | ||||
\(573\) | −20.8303 | − | 32.1797i | −0.870198 | − | 1.34433i | ||||
\(574\) | −14.0588 | − | 17.9447i | −0.586802 | − | 0.748998i | ||||
\(575\) | −1.95845 | − | 3.23967i | −0.0816730 | − | 0.135104i | ||||
\(576\) | −35.8857 | − | 11.1401i | −1.49524 | − | 0.464172i | ||||
\(577\) | −14.6445 | + | 12.9739i | −0.609658 | + | 0.540110i | −0.910471 | − | 0.413573i | \(-0.864281\pi\) |
0.300813 | + | 0.953683i | \(0.402742\pi\) | |||||||
\(578\) | 18.8180 | + | 18.8180i | 0.782727 | + | 0.782727i | ||||
\(579\) | −5.79911 | − | 10.2692i | −0.241003 | − | 0.426772i | ||||
\(580\) | −8.23652 | − | 21.7179i | −0.342003 | − | 0.901788i | ||||
\(581\) | 29.0593 | + | 15.2515i | 1.20558 | + | 0.632739i | ||||
\(582\) | 13.1823 | − | 61.5709i | 0.546426 | − | 2.55220i | ||||
\(583\) | 9.25110 | − | 20.5551i | 0.383142 | − | 0.851306i | ||||
\(584\) | 17.1477 | + | 11.8362i | 0.709577 | + | 0.489786i | ||||
\(585\) | 0.409089 | + | 0.777421i | 0.0169137 | + | 0.0321424i | ||||
\(586\) | 51.3594 | − | 12.6590i | 2.12164 | − | 0.522937i | ||||
\(587\) | −43.2687 | + | 2.61727i | −1.78589 | + | 0.108026i | −0.919929 | − | 0.392084i | \(-0.871754\pi\) |
−0.865962 | + | 0.500111i | \(0.833293\pi\) | |||||||
\(588\) | −42.9189 | + | 24.2368i | −1.76995 | + | 0.999507i | ||||
\(589\) | −22.8298 | − | 8.65820i | −0.940685 | − | 0.356755i | ||||
\(590\) | −0.185749 | + | 3.07079i | −0.00764714 | + | 0.126422i | ||||
\(591\) | −14.9610 | + | 2.28525i | −0.615412 | + | 0.0940025i | ||||
\(592\) | 2.46477 | − | 6.49908i | 0.101302 | − | 0.267110i | ||||
\(593\) | 21.2882 | − | 18.8597i | 0.874200 | − | 0.774474i | −0.101211 | − | 0.994865i | \(-0.532272\pi\) |
0.975412 | + | 0.220391i | \(0.0707334\pi\) | |||||||
\(594\) | 6.35715 | + | 22.6629i | 0.260837 | + | 0.929869i | ||||
\(595\) | 27.4607 | − | 6.76845i | 1.12578 | − | 0.277480i | ||||
\(596\) | −21.8695 | − | 17.1336i | −0.895809 | − | 0.701821i | ||||
\(597\) | −17.9018 | + | 36.8170i | −0.732672 | + | 1.50682i | ||||
\(598\) | −0.559125 | + | 0.0678900i | −0.0228643 | + | 0.00277623i | ||||
\(599\) | −0.119479 | + | 0.383422i | −0.00488179 | + | 0.0156662i | −0.957130 | − | 0.289660i | \(-0.906458\pi\) |
0.952248 | + | 0.305326i | \(0.0987655\pi\) | |||||||
\(600\) | 8.96354 | − | 4.37033i | 0.365935 | − | 0.178418i | ||||
\(601\) | −27.8431 | + | 14.6132i | −1.13575 | + | 0.596085i | −0.924437 | − | 0.381334i | \(-0.875465\pi\) |
−0.211308 | + | 0.977420i | \(0.567772\pi\) | |||||||
\(602\) | 13.0215 | − | 2.38628i | 0.530718 | − | 0.0972576i | ||||
\(603\) | 1.28254 | − | 21.5879i | 0.0522289 | − | 0.879128i | ||||
\(604\) | −21.5830 | + | 3.95524i | −0.878202 | + | 0.160936i | ||||
\(605\) | 8.42728 | + | 0.509757i | 0.342618 | + | 0.0207246i | ||||
\(606\) | 8.06843 | + | 16.5484i | 0.327758 | + | 0.672231i | ||||
\(607\) | 1.49399 | + | 24.6985i | 0.0606390 | + | 1.00248i | 0.893518 | + | 0.449027i | \(0.148229\pi\) |
−0.832879 | + | 0.553455i | \(0.813309\pi\) | |||||||
\(608\) | 41.4520 | − | 32.4756i | 1.68110 | − | 1.31706i | ||||
\(609\) | −40.1994 | − | 25.9602i | −1.62896 | − | 1.05196i | ||||
\(610\) | 0.0670040 | + | 0.0405053i | 0.00271291 | + | 0.00164001i | ||||
\(611\) | 2.38939 | + | 1.25405i | 0.0966642 | + | 0.0507333i | ||||
\(612\) | −44.8442 | + | 2.76096i | −1.81272 | + | 0.111605i | ||||
\(613\) | −1.61910 | + | 26.7669i | −0.0653948 | + | 1.08111i | 0.806443 | + | 0.591311i | \(0.201390\pi\) |
−0.871838 | + | 0.489794i | \(0.837072\pi\) | |||||||
\(614\) | −3.03784 | − | 4.40106i | −0.122597 | − | 0.177613i | ||||
\(615\) | −5.18210 | − | 1.78512i | −0.208963 | − | 0.0719829i | ||||
\(616\) | 14.5370i | 0.585711i | ||||||||
\(617\) | 12.8467 | + | 18.6117i | 0.517190 | + | 0.749279i | 0.991362 | − | 0.131153i | \(-0.0418680\pi\) |
−0.474172 | + | 0.880432i | \(0.657253\pi\) | |||||||
\(618\) | 4.04130 | + | 26.4574i | 0.162565 | + | 1.06427i | ||||
\(619\) | 18.0382 | − | 20.3610i | 0.725018 | − | 0.818376i | −0.264255 | − | 0.964453i | \(-0.585126\pi\) |
0.989273 | + | 0.146077i | \(0.0466646\pi\) | |||||||
\(620\) | 6.23024 | + | 10.3061i | 0.250213 | + | 0.413902i | ||||
\(621\) | −4.84596 | − | 3.12208i | −0.194462 | − | 0.125285i | ||||
\(622\) | 67.2755 | + | 12.3287i | 2.69750 | + | 0.494336i | ||||
\(623\) | −60.9545 | + | 18.9942i | −2.44209 | + | 0.760987i | ||||
\(624\) | 0.0230001 | + | 0.747853i | 0.000920740 | + | 0.0299381i | ||||
\(625\) | 1.31403 | − | 3.46481i | 0.0525611 | − | 0.138592i | ||||
\(626\) | −1.20821 | − | 6.59299i | −0.0482898 | − | 0.263509i | ||||
\(627\) | −24.0495 | − | 8.28450i | −0.960444 | − | 0.330851i | ||||
\(628\) | −0.348423 | − | 34.7357i | −0.0139036 | − | 1.38610i | ||||
\(629\) | − | 20.2006i | − | 0.805449i | ||||||
\(630\) | −15.9130 | + | 30.3990i | −0.633987 | + | 1.21112i | ||||
\(631\) | 23.7544 | + | 9.00884i | 0.945646 | + | 0.358636i | 0.778747 | − | 0.627338i | \(-0.215855\pi\) |
0.166899 | + | 0.985974i | \(0.446625\pi\) | |||||||
\(632\) | −8.14092 | − | 21.4658i | −0.323828 | − | 0.853865i | ||||
\(633\) | −1.71260 | − | 0.0508280i | −0.0680698 | − | 0.00202023i | ||||
\(634\) | 5.98774 | − | 32.6741i | 0.237804 | − | 1.29765i | ||||
\(635\) | −1.72265 | − | 3.82757i | −0.0683613 | − | 0.151893i | ||||
\(636\) | −51.0310 | + | 10.9831i | −2.02351 | + | 0.435509i | ||||
\(637\) | 1.78557 | + | 1.58188i | 0.0707469 | + | 0.0626763i | ||||
\(638\) | −26.6697 | + | 13.9973i | −1.05586 | + | 0.554160i | ||||
\(639\) | 3.57594 | + | 0.212447i | 0.141462 | + | 0.00840426i | ||||
\(640\) | −15.7397 | −0.622166 | ||||||||
\(641\) | 43.8639 | 1.73252 | 0.866259 | − | 0.499594i | \(-0.166518\pi\) | ||||
0.866259 | + | 0.499594i | \(0.166518\pi\) | |||||||
\(642\) | 4.83535 | + | 17.3093i | 0.190836 | + | 0.683143i | ||||
\(643\) | −7.30356 | − | 0.441784i | −0.288024 | − | 0.0174223i | −0.0842654 | − | 0.996443i | \(-0.526854\pi\) |
−0.203759 | + | 0.979021i | \(0.565316\pi\) | |||||||
\(644\) | −8.47440 | − | 9.56562i | −0.333938 | − | 0.376938i | ||||
\(645\) | 2.31647 | − | 2.18293i | 0.0912107 | − | 0.0859527i | ||||
\(646\) | 43.2394 | − | 71.5266i | 1.70123 | − | 2.81418i | ||||
\(647\) | 2.78064 | − | 11.2815i | 0.109318 | − | 0.443521i | −0.890619 | − | 0.454751i | \(-0.849728\pi\) |
0.999937 | + | 0.0112296i | \(0.00357457\pi\) | |||||||
\(648\) | 9.33932 | − | 11.9737i | 0.366883 | − | 0.470371i | ||||
\(649\) | 2.31323 | − | 0.139924i | 0.0908020 | − | 0.00549251i | ||||
\(650\) | −1.22500 | − | 1.22500i | −0.0480483 | − | 0.0480483i | ||||
\(651\) | 22.9274 | + | 9.48239i | 0.898595 | + | 0.371644i | ||||
\(652\) | −0.153117 | − | 0.835530i | −0.00599651 | − | 0.0327219i | ||||
\(653\) | 27.9917 | + | 40.5529i | 1.09540 | + | 1.58696i | 0.766086 | + | 0.642738i | \(0.222202\pi\) |
0.329313 | + | 0.944221i | \(0.393183\pi\) | |||||||
\(654\) | 8.53041 | − | 56.2517i | 0.333566 | − | 2.19961i | ||||
\(655\) | 3.87586 | + | 7.38483i | 0.151442 | + | 0.288549i | ||||
\(656\) | −3.30086 | − | 3.30086i | −0.128877 | − | 0.128877i | ||||
\(657\) | 30.4666 | − | 21.0780i | 1.18862 | − | 0.822331i | ||||
\(658\) | 12.7043 | + | 104.629i | 0.495265 | + | 4.07888i | ||||
\(659\) | 2.82328 | − | 23.2518i | 0.109979 | − | 0.905760i | −0.828396 | − | 0.560143i | \(-0.810746\pi\) |
0.938375 | − | 0.345618i | \(-0.112331\pi\) | |||||||
\(660\) | 6.81747 | + | 10.5320i | 0.265370 | + | 0.409957i | ||||
\(661\) | −1.12528 | − | 4.56544i | −0.0437683 | − | 0.177575i | 0.944990 | − | 0.327101i | \(-0.106072\pi\) |
−0.988758 | + | 0.149525i | \(0.952225\pi\) | |||||||
\(662\) | 2.08823 | + | 0.650720i | 0.0811615 | + | 0.0252909i | ||||
\(663\) | 0.833211 | + | 2.00850i | 0.0323592 | + | 0.0780035i | ||||
\(664\) | −12.4606 | − | 4.72567i | −0.483564 | − | 0.183392i | ||||
\(665\) | −17.2320 | − | 32.8328i | −0.668227 | − | 1.27320i | ||||
\(666\) | 18.3613 | + | 16.2315i | 0.711486 | + | 0.628958i | ||||
\(667\) | 2.61579 | − | 6.89727i | 0.101284 | − | 0.267063i | ||||
\(668\) | −27.1960 | + | 30.6979i | −1.05224 | + | 1.18774i | ||||
\(669\) | 20.8451 | + | 5.79894i | 0.805919 | + | 0.224200i | ||||
\(670\) | −4.74867 | − | 19.2661i | −0.183457 | − | 0.744315i | ||||
\(671\) | 0.0242062 | − | 0.0537840i | 0.000934470 | − | 0.00207631i | ||||
\(672\) | −43.0820 | + | 31.7361i | −1.66193 | + | 1.22425i | ||||
\(673\) | −39.5784 | − | 17.8128i | −1.52563 | − | 0.686632i | −0.537933 | − | 0.842987i | \(-0.680795\pi\) |
−0.987701 | + | 0.156355i | \(0.950025\pi\) | |||||||
\(674\) | 22.2612 | − | 2.70300i | 0.857469 | − | 0.104116i | ||||
\(675\) | −1.63311 | − | 17.6556i | −0.0628583 | − | 0.679565i | ||||
\(676\) | 33.5585 | − | 12.7271i | 1.29071 | − | 0.489502i | ||||
\(677\) | 12.3679 | + | 10.9570i | 0.475336 | + | 0.421111i | 0.866475 | − | 0.499221i | \(-0.166380\pi\) |
−0.391139 | + | 0.920332i | \(0.627919\pi\) | |||||||
\(678\) | −13.4919 | − | 27.6719i | −0.518154 | − | 1.06273i | ||||
\(679\) | −45.8516 | − | 51.7558i | −1.75962 | − | 1.98620i | ||||
\(680\) | −10.7384 | + | 4.07252i | −0.411797 | + | 0.156174i | ||||
\(681\) | −7.44592 | + | 1.60254i | −0.285328 | + | 0.0614096i | ||||
\(682\) | 12.2930 | − | 9.63097i | 0.470724 | − | 0.368789i | ||||
\(683\) | −17.7830 | + | 22.6984i | −0.680449 | + | 0.868529i | −0.996785 | − | 0.0801182i | \(-0.974470\pi\) |
0.316336 | + | 0.948647i | \(0.397547\pi\) | |||||||
\(684\) | 17.5848 | + | 56.2186i | 0.672370 | + | 2.14957i | ||||
\(685\) | 0.921532 | + | 0.636087i | 0.0352099 | + | 0.0243036i | ||||
\(686\) | −3.57196 | + | 29.4177i | −0.136378 | + | 1.12317i | ||||
\(687\) | 6.30601 | − | 5.26115i | 0.240589 | − | 0.200725i | ||||
\(688\) | 2.58817 | − | 0.806507i | 0.0986731 | − | 0.0307478i | ||||
\(689\) | 1.30697 | + | 2.16199i | 0.0497916 | + | 0.0823653i | ||||
\(690\) | −5.09575 | − | 1.41760i | −0.193992 | − | 0.0539669i | ||||
\(691\) | 7.06713 | + | 2.20221i | 0.268846 | + | 0.0837759i | 0.428963 | − | 0.903322i | \(-0.358879\pi\) |
−0.160116 | + | 0.987098i | \(0.551187\pi\) | |||||||
\(692\) | 50.4942 | + | 26.5014i | 1.91950 | + | 1.00743i | ||||
\(693\) | 24.1775 | + | 9.13959i | 0.918427 | + | 0.347184i | ||||
\(694\) | −11.4176 | + | 5.13863i | −0.433405 | + | 0.195060i | ||||
\(695\) | 6.40262 | − | 25.9765i | 0.242865 | − | 0.985343i | ||||
\(696\) | 17.4754 | + | 8.49719i | 0.662403 | + | 0.322085i | ||||
\(697\) | −12.3715 | − | 5.56794i | −0.468602 | − | 0.210901i | ||||
\(698\) | −12.5601 | + | 16.0318i | −0.475408 | + | 0.606813i | ||||
\(699\) | 6.71714 | − | 10.4015i | 0.254066 | − | 0.393421i | ||||
\(700\) | 7.08542 | − | 38.6639i | 0.267804 | − | 1.46136i | ||||
\(701\) | −15.9791 | + | 7.19162i | −0.603524 | + | 0.271624i | −0.689052 | − | 0.724712i | \(-0.741973\pi\) |
0.0855285 | + | 0.996336i | \(0.472742\pi\) | |||||||
\(702\) | −2.49512 | − | 0.856513i | −0.0941723 | − | 0.0323270i | ||||
\(703\) | −25.7145 | + | 6.33806i | −0.969842 | + | 0.239045i | ||||
\(704\) | 3.13049 | + | 25.7819i | 0.117985 | + | 0.971692i | ||||
\(705\) | 16.2342 | + | 19.4583i | 0.611416 | + | 0.732843i | ||||
\(706\) | 42.4837 | + | 7.78542i | 1.59889 | + | 0.293008i | ||||
\(707\) | 19.8859 | + | 3.64424i | 0.747888 | + | 0.137056i | ||||
\(708\) | −3.43803 | − | 4.12082i | −0.129209 | − | 0.154870i | ||||
\(709\) | −0.615893 | − | 5.07233i | −0.0231303 | − | 0.190495i | 0.976564 | − | 0.215228i | \(-0.0690496\pi\) |
−0.999694 | + | 0.0247329i | \(0.992126\pi\) | |||||||
\(710\) | 3.19135 | − | 0.786597i | 0.119769 | − | 0.0295205i | ||||
\(711\) | −40.8197 | + | 0.0438828i | −1.53086 | + | 0.00164573i | ||||
\(712\) | 23.6416 | − | 10.6402i | 0.886007 | − | 0.398759i | ||||
\(713\) | −0.689409 | + | 3.76199i | −0.0258186 | + | 0.140887i | ||||
\(714\) | −46.0747 | + | 71.3466i | −1.72430 | + | 2.67008i | ||||
\(715\) | 0.374469 | − | 0.477974i | 0.0140043 | − | 0.0178752i | ||||
\(716\) | −28.9828 | − | 13.0441i | −1.08314 | − | 0.487481i | ||||
\(717\) | −23.6582 | − | 11.5035i | −0.883532 | − | 0.429606i | ||||
\(718\) | −15.5264 | + | 62.9931i | −0.579440 | + | 2.35088i | ||||
\(719\) | −40.0829 | + | 18.0398i | −1.49484 | + | 0.672773i | −0.982543 | − | 0.186036i | \(-0.940436\pi\) |
−0.512297 | + | 0.858808i | \(0.671205\pi\) | |||||||
\(720\) | −2.48451 | + | 6.57242i | −0.0925923 | + | 0.244940i | ||||
\(721\) | 26.0241 | + | 13.6585i | 0.969188 | + | 0.508669i | ||||
\(722\) | −64.9898 | − | 20.2516i | −2.41867 | − | 0.753688i | ||||
\(723\) | 0.702485 | + | 0.195425i | 0.0261257 | + | 0.00726795i | ||||
\(724\) | 18.2425 | + | 30.1768i | 0.677979 | + | 1.12151i | ||||
\(725\) | 21.6620 | − | 6.75014i | 0.804505 | − | 0.250694i | ||||
\(726\) | −19.4673 | + | 16.2417i | −0.722498 | + | 0.602786i | ||||
\(727\) | −2.85914 | + | 23.5471i | −0.106040 | + | 0.873314i | 0.838497 | + | 0.544907i | \(0.183435\pi\) |
−0.944536 | + | 0.328407i | \(0.893488\pi\) | |||||||
\(728\) | −1.34086 | − | 0.925529i | −0.0496956 | − | 0.0343024i | ||||
\(729\) | −14.0426 | − | 23.0609i | −0.520095 | − | 0.854108i | ||||
\(730\) | 20.9637 | − | 26.7582i | 0.775902 | − | 0.990366i | ||||
\(731\) | 6.20188 | − | 4.85886i | 0.229385 | − | 0.179712i | ||||
\(732\) | −0.133526 | + | 0.0287382i | −0.00493528 | + | 0.00106219i | ||||
\(733\) | 32.3106 | − | 12.2538i | 1.19342 | − | 0.452605i | 0.323705 | − | 0.946158i | \(-0.395071\pi\) |
0.869716 | + | 0.493553i | \(0.164302\pi\) | |||||||
\(734\) | −1.22554 | − | 1.38335i | −0.0452355 | − | 0.0510604i | ||||
\(735\) | 9.81770 | + | 20.1361i | 0.362131 | + | 0.742731i | ||||
\(736\) | −6.17411 | − | 5.46979i | −0.227581 | − | 0.201619i | ||||
\(737\) | −13.9762 | + | 5.30046i | −0.514819 | + | 0.195245i | ||||
\(738\) | 15.0017 | − | 6.77110i | 0.552218 | − | 0.249248i | ||||
\(739\) | 6.24765 | − | 0.758603i | 0.229824 | − | 0.0279056i | −0.00481456 | − | 0.999988i | \(-0.501533\pi\) |
0.234638 | + | 0.972083i | \(0.424609\pi\) | |||||||
\(740\) | 11.9119 | + | 5.36111i | 0.437890 | + | 0.197078i | ||||
\(741\) | 2.29531 | − | 1.69082i | 0.0843204 | − | 0.0621140i | ||||
\(742\) | −40.4971 | + | 89.9810i | −1.48670 | + | 3.30331i | ||||
\(743\) | 10.4290 | + | 42.3122i | 0.382604 | + | 1.55229i | 0.774681 | + | 0.632353i | \(0.217911\pi\) |
−0.392077 | + | 0.919932i | \(0.628243\pi\) | |||||||
\(744\) | −9.70636 | − | 2.70023i | −0.355852 | − | 0.0989951i | ||||
\(745\) | −8.37315 | + | 9.45133i | −0.306769 | + | 0.346270i | ||||
\(746\) | −9.50171 | + | 25.0540i | −0.347882 | + | 0.917290i | ||||
\(747\) | −15.6937 | + | 17.7530i | −0.574204 | + | 0.649548i | ||||
\(748\) | 14.4316 | + | 27.4972i | 0.527673 | + | 1.00540i | ||||
\(749\) | 18.4530 | + | 6.99831i | 0.674259 | + | 0.255713i | ||||
\(750\) | −15.3683 | − | 37.0461i | −0.561171 | − | 1.35273i | ||||
\(751\) | 28.8208 | + | 8.98093i | 1.05169 | + | 0.327719i | 0.774154 | − | 0.632997i | \(-0.218176\pi\) |
0.277533 | + | 0.960716i | \(0.410483\pi\) | |||||||
\(752\) | 5.16517 | + | 20.9559i | 0.188354 | + | 0.764184i | ||||
\(753\) | −13.4892 | − | 20.8388i | −0.491572 | − | 0.759407i | ||||
\(754\) | 0.406901 | − | 3.35113i | 0.0148185 | − | 0.122041i | ||||
\(755\) | 1.20209 | + | 9.90010i | 0.0437485 | + | 0.360302i | ||||
\(756\) | −16.1663 | − | 57.6317i | −0.587961 | − | 2.09605i | ||||
\(757\) | 6.64791 | + | 6.64791i | 0.241622 | + | 0.241622i | 0.817521 | − | 0.575899i | \(-0.195348\pi\) |
−0.575899 | + | 0.817521i | \(0.695348\pi\) | |||||||
\(758\) | −34.3875 | − | 65.5199i | −1.24901 | − | 2.37979i | ||||
\(759\) | −0.597393 | + | 3.93936i | −0.0216840 | + | 0.142990i | ||||
\(760\) | 8.55340 | + | 12.3917i | 0.310264 | + | 0.449495i | ||||
\(761\) | −8.08681 | − | 44.1283i | −0.293147 | − | 1.59965i | −0.719102 | − | 0.694905i | \(-0.755446\pi\) |
0.425955 | − | 0.904744i | \(-0.359938\pi\) | |||||||
\(762\) | 11.6475 | + | 4.81724i | 0.421946 | + | 0.174510i | ||||
\(763\) | −44.1784 | − | 44.1784i | −1.59937 | − | 1.59937i | ||||
\(764\) | 61.2448 | − | 3.70463i | 2.21576 | − | 0.134029i | ||||
\(765\) | 0.0219525 | + | 20.4202i | 0.000793695 | + | 0.738294i | ||||
\(766\) | 12.0442 | − | 48.8653i | 0.435175 | − | 1.76558i | ||||
\(767\) | −0.134370 | + | 0.222276i | −0.00485184 | + | 0.00802592i | ||||
\(768\) | 2.82182 | − | 2.65915i | 0.101824 | − | 0.0959538i | ||||
\(769\) | −33.6802 | − | 38.0171i | −1.21454 | − | 1.37093i | −0.907944 | − | 0.419092i | \(-0.862349\pi\) |
−0.306596 | − | 0.951840i | \(-0.599190\pi\) | |||||||
\(770\) | 23.6727 | + | 1.43193i | 0.853104 | + | 0.0516033i | ||||
\(771\) | 12.0746 | + | 43.2239i | 0.434856 | + | 1.55667i | ||||
\(772\) | 18.8768 | 0.679391 | ||||||||
\(773\) | −24.6795 | −0.887659 | −0.443829 | − | 0.896111i | \(-0.646380\pi\) | ||||
−0.443829 | + | 0.896111i | \(0.646380\pi\) | |||||||
\(774\) | −0.566853 | + | 9.54138i | −0.0203751 | + | 0.342958i | ||||
\(775\) | −10.4165 | + | 5.46698i | −0.374170 | + | 0.196380i | ||||
\(776\) | 21.0164 | + | 18.6189i | 0.754447 | + | 0.668381i | ||||
\(777\) | 26.3095 | − | 5.66245i | 0.943848 | − | 0.203139i | ||||
\(778\) | −14.6744 | − | 32.6052i | −0.526104 | − | 1.16895i | ||||
\(779\) | −3.20614 | + | 17.4954i | −0.114872 | + | 0.626836i | ||||
\(780\) | −1.40550 | − | 0.0417136i | −0.0503250 | − | 0.00149359i | ||||
\(781\) | −0.877999 | − | 2.31509i | −0.0314173 | − | 0.0828405i | ||||
\(782\) | −12.2414 | − | 4.64255i | −0.437752 | − | 0.166017i | ||||
\(783\) | 25.1193 | − | 23.7223i | 0.897691 | − | 0.847766i | ||||
\(784\) | 19.0798i | 0.681421i | ||||||||
\(785\) | −15.7681 | − | 0.795146i | −0.562787 | − | 0.0283800i | ||||
\(786\) | −23.6794 | − | 8.15700i | −0.844615 | − | 0.290951i | ||||
\(787\) | −4.89439 | − | 26.7078i | −0.174466 | − | 0.952031i | −0.947999 | − | 0.318275i | \(-0.896897\pi\) |
0.773532 | − | 0.633757i | \(-0.218488\pi\) | |||||||
\(788\) | 8.59014 | − | 22.6503i | 0.306011 | − | 0.806885i | ||||
\(789\) | 0.127160 | + | 4.13465i | 0.00452703 | + | 0.147197i | ||||
\(790\) | −35.7579 | + | 11.1426i | −1.27221 | + | 0.396436i | ||||
\(791\) | −33.2530 | − | 6.09384i | −1.18234 | − | 0.216672i | ||||
\(792\) | −10.1935 | − | 2.50085i | −0.362211 | − | 0.0888639i | ||||
\(793\) | 0.00341978 | + | 0.00565701i | 0.000121440 | + | 0.000200886i | ||||
\(794\) | −33.3462 | + | 37.6401i | −1.18341 | + | 1.33580i | ||||
\(795\) | 3.58232 | + | 23.4526i | 0.127052 | + | 0.831778i | ||||
\(796\) | −37.2236 | − | 53.9277i | −1.31935 | − | 1.91142i | ||||
\(797\) | − | 21.5472i | − | 0.763240i | −0.924319 | − | 0.381620i | \(-0.875366\pi\) | ||
0.924319 | − | 0.381620i | \(-0.124634\pi\) | |||||||
\(798\) | 105.278 | + | 36.2658i | 3.72679 | + | 1.28380i | ||||
\(799\) | 35.6322 | + | 51.6221i | 1.26058 | + | 1.82626i | ||||
\(800\) | 1.53187 | − | 25.3248i | 0.0541598 | − | 0.895368i | ||||
\(801\) | −2.83272 | − | 46.0098i | −0.100089 | − | 1.62567i | ||||
\(802\) | −19.7338 | − | 10.3571i | −0.696826 | − | 0.365722i | ||||
\(803\) | −21.9135 | − | 13.2472i | −0.773311 | − | 0.467483i | ||||
\(804\) | 29.0785 | + | 18.7785i | 1.02552 | + | 0.662267i | ||||
\(805\) | −4.57218 | + | 3.58207i | −0.161148 | + | 0.126252i | ||||
\(806\) | 0.105678 | + | 1.74706i | 0.00372234 | + | 0.0615377i | ||||
\(807\) | 2.27675 | + | 4.66962i | 0.0801456 | + | 0.164379i | ||||
\(808\) | −8.19457 | − | 0.495680i | −0.288284 | − | 0.0174380i | ||||
\(809\) | −43.3993 | + | 7.95321i | −1.52584 | + | 0.279620i | −0.876695 | − | 0.481047i | \(-0.840257\pi\) |
−0.649142 | + | 0.760667i | \(0.724872\pi\) | |||||||
\(810\) | −18.5786 | − | 16.3880i | −0.652785 | − | 0.575817i | ||||
\(811\) | −7.34116 | + | 1.34532i | −0.257783 | + | 0.0472405i | −0.307592 | − | 0.951518i | \(-0.599523\pi\) |
0.0498093 | + | 0.998759i | \(0.484139\pi\) | |||||||
\(812\) | 67.8211 | − | 35.5953i | 2.38006 | − | 1.24915i | ||||
\(813\) | 22.2826 | − | 10.8643i | 0.781484 | − | 0.381026i | ||||
\(814\) | 5.03938 | − | 16.1719i | 0.176630 | − | 0.566826i | ||||
\(815\) | −0.383256 | + | 0.0465357i | −0.0134249 | + | 0.00163008i | ||||
\(816\) | −7.60520 | + | 15.6409i | −0.266235 | + | 0.547542i | ||||
\(817\) | −8.13103 | − | 6.37025i | −0.284469 | − | 0.222867i | ||||
\(818\) | 81.5149 | − | 20.0916i | 2.85010 | − | 0.702487i | ||||
\(819\) | −2.38233 | + | 1.64819i | −0.0832455 | + | 0.0575924i | ||||
\(820\) | 6.56661 | − | 5.81751i | 0.229316 | − | 0.203156i | ||||
\(821\) | −6.85012 | + | 18.0623i | −0.239071 | + | 0.630378i | −0.999826 | − | 0.0186614i | \(-0.994060\pi\) |
0.760755 | + | 0.649039i | \(0.224829\pi\) | |||||||
\(822\) | −3.32397 | + | 0.507727i | −0.115937 | + | 0.0177090i | ||||
\(823\) | −0.951390 | + | 15.7284i | −0.0331634 | + | 0.548256i | 0.943214 | + | 0.332185i | \(0.107786\pi\) |
−0.976378 | + | 0.216071i | \(0.930676\pi\) | |||||||
\(824\) | −11.1591 | − | 4.23208i | −0.388745 | − | 0.147431i | ||||
\(825\) | −10.6714 | + | 6.02624i | −0.371529 | + | 0.209807i | ||||
\(826\) | −10.1263 | + | 0.612526i | −0.352337 | + | 0.0213125i | ||||
\(827\) | 11.0330 | − | 2.71938i | 0.383654 | − | 0.0945623i | −0.0427715 | − | 0.999085i | \(-0.513619\pi\) |
0.426426 | + | 0.904523i | \(0.359773\pi\) | |||||||
\(828\) | 8.16542 | − | 4.29674i | 0.283768 | − | 0.149322i | ||||
\(829\) | −5.47798 | − | 3.78118i | −0.190258 | − | 0.131326i | 0.469128 | − | 0.883130i | \(-0.344568\pi\) |
−0.659386 | + | 0.751805i | \(0.729184\pi\) | |||||||
\(830\) | −8.92291 | + | 19.8259i | −0.309719 | + | 0.688167i | ||||
\(831\) | 6.47484 | − | 30.2421i | 0.224610 | − | 1.04909i | ||||
\(832\) | −2.57738 | − | 1.35271i | −0.0893546 | − | 0.0468969i | ||||
\(833\) | 19.6630 | + | 51.8470i | 0.681281 | + | 1.79639i | ||||
\(834\) | 39.5051 | + | 69.9564i | 1.36795 | + | 2.42239i | ||||
\(835\) | 13.1804 | + | 13.1804i | 0.456126 | + | 0.456126i | ||||
\(836\) | 30.4748 | − | 26.9983i | 1.05399 | − | 0.933757i | ||||
\(837\) | −10.5935 | + | 14.4457i | −0.366164 | + | 0.499316i | ||||
\(838\) | −26.5488 | − | 43.9170i | −0.917112 | − | 1.51709i | ||||
\(839\) | −12.6925 | − | 16.2008i | −0.438193 | − | 0.559312i | 0.516736 | − | 0.856145i | \(-0.327147\pi\) |
−0.954930 | + | 0.296832i | \(0.904070\pi\) | |||||||
\(840\) | −8.31420 | − | 12.8442i | −0.286867 | − | 0.443167i | ||||
\(841\) | 12.5193 | + | 8.64148i | 0.431701 | + | 0.297982i | ||||
\(842\) | 17.8141 | − | 25.8082i | 0.613915 | − | 0.889410i | ||||
\(843\) | 22.6598 | − | 46.6023i | 0.780444 | − | 1.60507i | ||||
\(844\) | 1.41876 | − | 2.34692i | 0.0488358 | − | 0.0807842i | ||||
\(845\) | −4.85297 | − | 15.5737i | −0.166947 | − | 0.535752i | ||||
\(846\) | −75.5530 | − | 9.09139i | −2.59757 | − | 0.312568i | ||||
\(847\) | 1.68098 | + | 27.7899i | 0.0577590 | + | 0.954871i | ||||
\(848\) | −6.01142 | + | 19.2913i | −0.206433 | + | 0.662467i | ||||
\(849\) | 34.5503 | − | 32.5586i | 1.18576 | − | 1.11741i | ||||
\(850\) | −11.9803 | − | 38.4460i | −0.410920 | − | 1.31869i | ||||
\(851\) | 1.70260 | + | 3.78303i | 0.0583645 | + | 0.129681i | ||||
\(852\) | −3.11058 | + | 4.81673i | −0.106567 | + | 0.165018i | ||||
\(853\) | −32.8591 | − | 3.98981i | −1.12507 | − | 0.136609i | −0.463221 | − | 0.886243i | \(-0.653306\pi\) |
−0.661852 | + | 0.749634i | \(0.730229\pi\) | |||||||
\(854\) | −0.105964 | + | 0.235442i | −0.00362601 | + | 0.00805666i | ||||
\(855\) | 25.9872 | − | 6.43492i | 0.888745 | − | 0.220070i | ||||
\(856\) | −7.78112 | − | 1.91787i | −0.265953 | − | 0.0655516i | ||||
\(857\) | 3.12767 | + | 0.573167i | 0.106839 | + | 0.0195790i | 0.233409 | − | 0.972379i | \(-0.425012\pi\) |
−0.126569 | + | 0.991958i | \(0.540397\pi\) | |||||||
\(858\) | 0.165989 | + | 1.81580i | 0.00566677 | + | 0.0619903i | ||||
\(859\) | 15.5017 | + | 19.7865i | 0.528911 | + | 0.675105i | 0.975593 | − | 0.219588i | \(-0.0704712\pi\) |
−0.446682 | + | 0.894693i | \(0.647394\pi\) | |||||||
\(860\) | 1.21924 | + | 4.94664i | 0.0415757 | + | 0.168679i | ||||
\(861\) | 3.78390 | − | 17.6735i | 0.128955 | − | 0.602311i | ||||
\(862\) | 10.6932 | + | 6.46424i | 0.364211 | + | 0.220173i | ||||
\(863\) | −1.96589 | + | 10.7275i | −0.0669198 | + | 0.365169i | 0.933065 | + | 0.359707i | \(0.117123\pi\) |
−0.999985 | + | 0.00546236i | \(0.998261\pi\) | |||||||
\(864\) | −14.8422 | − | 35.6694i | −0.504941 | − | 1.21350i | ||||
\(865\) | 13.4085 | − | 22.1804i | 0.455904 | − | 0.754157i | ||||
\(866\) | 48.2522 | − | 5.85888i | 1.63968 | − | 0.199093i | ||||
\(867\) | −1.89824 | + | 21.0145i | −0.0644675 | + | 0.713690i | ||||
\(868\) | −31.2612 | + | 24.4916i | −1.06107 | + | 0.831299i | ||||
\(869\) | 11.5794 | + | 25.7283i | 0.392803 | + | 0.872772i | ||||
\(870\) | 15.5586 | − | 27.6208i | 0.527486 | − | 0.936432i | ||||
\(871\) | 0.400921 | − | 1.62660i | 0.0135847 | − | 0.0551153i | ||||
\(872\) | 19.9711 | + | 15.6463i | 0.676306 | + | 0.529852i | ||||
\(873\) | 44.1799 | − | 23.2480i | 1.49526 | − | 0.786825i | ||||
\(874\) | −2.06897 | + | 17.0395i | −0.0699838 | + | 0.576369i | ||||
\(875\) | −42.7631 | − | 10.5402i | −1.44566 | − | 0.356322i | ||||
\(876\) | 5.39818 | + | 59.0522i | 0.182388 | + | 1.99519i | ||||
\(877\) | 10.6002 | − | 3.30317i | 0.357945 | − | 0.111540i | −0.113256 | − | 0.993566i | \(-0.536128\pi\) |
0.471201 | + | 0.882026i | \(0.343820\pi\) | |||||||
\(878\) | −7.23297 | + | 13.7813i | −0.244101 | + | 0.465096i | ||||
\(879\) | 33.7934 | + | 24.8377i | 1.13982 | + | 0.837754i | ||||
\(880\) | 4.84763 | − | 0.293228i | 0.163414 | − | 0.00988470i | ||||
\(881\) | −1.04952 | + | 0.634459i | −0.0353594 | + | 0.0213755i | −0.534907 | − | 0.844911i | \(-0.679653\pi\) |
0.499548 | + | 0.866286i | \(0.333500\pi\) | |||||||
\(882\) | −62.9259 | − | 23.7873i | −2.11882 | − | 0.800959i | ||||
\(883\) | 6.34579 | + | 3.83617i | 0.213553 | + | 0.129097i | 0.620072 | − | 0.784545i | \(-0.287104\pi\) |
−0.406519 | + | 0.913642i | \(0.633257\pi\) | |||||||
\(884\) | −3.45511 | − | 0.419526i | −0.116208 | − | 0.0141102i | ||||
\(885\) | −1.96383 | + | 1.44664i | −0.0660136 | + | 0.0486284i | ||||
\(886\) | 8.32037 | − | 12.0541i | 0.279528 | − | 0.404967i | ||||
\(887\) | 17.1263 | + | 13.4176i | 0.575044 | + | 0.450518i | 0.861630 | − | 0.507536i | \(-0.169444\pi\) |
−0.286587 | + | 0.958054i | \(0.592521\pi\) | |||||||
\(888\) | −10.3284 | + | 3.57034i | −0.346600 | + | 0.119813i | ||||
\(889\) | 11.8451 | − | 7.16060i | 0.397271 | − | 0.240159i | ||||
\(890\) | −14.9983 | − | 39.5472i | −0.502744 | − | 1.32563i | ||||
\(891\) | −10.5682 | + | 15.3812i | −0.354046 | + | 0.515291i | ||||
\(892\) | −24.4886 | + | 24.4886i | −0.819938 | + | 0.819938i | ||||
\(893\) | 54.5331 | − | 61.5552i | 1.82488 | − | 2.05987i | ||||
\(894\) | −1.16560 | − | 37.8997i | −0.0389835 | − | 1.26756i | ||||
\(895\) | −6.71306 | + | 12.7907i | −0.224393 | + | 0.427545i | ||||
\(896\) | −6.25625 | − | 51.5249i | −0.209007 | − | 1.72132i | ||||
\(897\) | −0.325324 | − | 0.305911i | −0.0108623 | − | 0.0102141i | ||||
\(898\) | 18.9232 | − | 27.4150i | 0.631475 | − | 0.914849i | ||||
\(899\) | −20.9036 | − | 9.40793i | −0.697173 | − | 0.313772i | ||||
\(900\) | 25.8927 | + | 11.6199i | 0.863089 | + | 0.387330i | ||||
\(901\) | 3.54567 | + | 58.6170i | 0.118124 | + | 1.95281i | ||||
\(902\) | −8.51518 | − | 7.54379i | −0.283524 | − | 0.251181i | ||||
\(903\) | 8.06671 | + | 6.71542i | 0.268443 | + | 0.223475i | ||||
\(904\) | 13.7029 | + | 0.828870i | 0.455750 | + | 0.0275678i | ||||
\(905\) | 14.1909 | − | 7.44797i | 0.471722 | − | 0.247579i | ||||
\(906\) | −23.0161 | − | 19.1606i | −0.764658 | − | 0.636567i | ||||
\(907\) | −13.3297 | − | 15.0462i | −0.442606 | − | 0.499599i | 0.484295 | − | 0.874905i | \(-0.339076\pi\) |
−0.926901 | + | 0.375306i | \(0.877538\pi\) | |||||||
\(908\) | 3.62685 | − | 11.6390i | 0.120361 | − | 0.386253i | ||||
\(909\) | −5.97644 | + | 13.3174i | −0.198226 | + | 0.441709i | ||||
\(910\) | −1.63925 | + | 2.09235i | −0.0543408 | + | 0.0693609i | ||||
\(911\) | 4.46471 | + | 0.542113i | 0.147922 | + | 0.0179610i | 0.194163 | − | 0.980969i | \(-0.437801\pi\) |
−0.0462405 | + | 0.998930i | \(0.514724\pi\) | |||||||
\(912\) | 22.2965 | + | 4.77368i | 0.738310 | + | 0.158072i | ||||
\(913\) | 15.6362 | + | 4.87242i | 0.517481 | + | 0.161254i | ||||
\(914\) | −63.6684 | + | 63.6684i | −2.10596 | + | 2.10596i | ||||
\(915\) | 0.00937341 | + | 0.0613655i | 0.000309875 | + | 0.00202868i | ||||
\(916\) | 2.36947 | + | 12.9298i | 0.0782895 | + | 0.427212i | ||||
\(917\) | −22.6341 | + | 15.6232i | −0.747445 | + | 0.515924i | ||||
\(918\) | −42.1028 | − | 44.5822i | −1.38960 | − | 1.47143i | ||||
\(919\) | 0.621824 | − | 10.2800i | 0.0205121 | − | 0.339105i | −0.973414 | − | 0.229054i | \(-0.926437\pi\) |
0.993926 | − | 0.110051i | \(-0.0351015\pi\) | |||||||
\(920\) | 1.66776 | − | 1.66776i | 0.0549843 | − | 0.0549843i | ||||
\(921\) | 1.13637 | − | 4.08483i | 0.0374446 | − | 0.134600i | ||||
\(922\) | 36.5833 | + | 46.6951i | 1.20481 | + | 1.53782i | ||||
\(923\) | 0.269439 | + | 0.0664108i | 0.00886870 | + | 0.00218594i | ||||
\(924\) | −31.7673 | + | 26.5037i | −1.04507 | + | 0.871908i | ||||
\(925\) | −5.92994 | + | 11.2985i | −0.194975 | + | 0.371494i | ||||
\(926\) | −7.45946 | + | 6.60851i | −0.245133 | + | 0.217169i | ||||
\(927\) | −14.0545 | + | 15.8987i | −0.461612 | + | 0.522182i | ||||
\(928\) | 40.6866 | − | 28.0839i | 1.33560 | − | 0.921899i | ||||
\(929\) | 13.3546i | 0.438149i | 0.975708 | + | 0.219074i | \(0.0703037\pi\) | ||||
−0.975708 | + | 0.219074i | \(0.929696\pi\) | |||||||
\(930\) | −5.35328 | + | 15.5403i | −0.175541 | + | 0.509587i | ||||
\(931\) | 59.8298 | − | 41.2975i | 1.96084 | − | 1.35347i | ||||
\(932\) | 9.21019 | + | 17.5485i | 0.301690 | + | 0.574822i | ||||
\(933\) | 26.6652 | + | 47.2192i | 0.872979 | + | 1.54589i | ||||
\(934\) | 51.6296 | − | 31.2112i | 1.68937 | − | 1.02126i | ||||
\(935\) | 12.8707 | − | 5.79261i | 0.420915 | − | 0.189439i | ||||
\(936\) | 0.879667 | − | 0.781006i | 0.0287528 | − | 0.0255280i | ||||
\(937\) | 9.89006 | + | 31.7383i | 0.323094 | + | 1.03685i | 0.963251 | + | 0.268601i | \(0.0865614\pi\) |
−0.640157 | + | 0.768244i | \(0.721131\pi\) | |||||||
\(938\) | 61.1814 | − | 23.2030i | 1.99764 | − | 0.757606i | ||||
\(939\) | 3.40012 | − | 4.08430i | 0.110959 | − | 0.133286i | ||||
\(940\) | −39.8972 | + | 7.31142i | −1.30130 | + | 0.238472i | ||||
\(941\) | −10.7389 | −0.350077 | −0.175039 | − | 0.984562i | \(-0.556005\pi\) | ||||
−0.175039 | + | 0.984562i | \(0.556005\pi\) | |||||||
\(942\) | 36.0980 | − | 30.7361i | 1.17614 | − | 1.00144i | ||||
\(943\) | 2.78614 | 0.0907291 | ||||||||
\(944\) | −2.04339 | + | 0.374465i | −0.0665067 | + | 0.0121878i | ||||
\(945\) | −26.5894 | + | 5.75261i | −0.864953 | + | 0.187132i | ||||
\(946\) | 6.17716 | − | 2.34269i | 0.200837 | − | 0.0761674i | ||||
\(947\) | −0.831639 | − | 2.66882i | −0.0270247 | − | 0.0867252i | 0.940223 | − | 0.340559i | \(-0.110616\pi\) |
−0.967248 | + | 0.253833i | \(0.918308\pi\) | |||||||
\(948\) | 32.0664 | − | 56.9266i | 1.04147 | − | 1.84889i | ||||
\(949\) | 2.61707 | − | 1.17785i | 0.0849536 | − | 0.0382345i | ||||
\(950\) | −45.1814 | + | 27.3131i | −1.46588 | + | 0.886155i | ||||
\(951\) | 22.9332 | − | 12.9506i | 0.743660 | − | 0.419953i | ||||
\(952\) | −17.6000 | − | 33.5340i | −0.570418 | − | 1.08684i | ||||
\(953\) | −44.1495 | + | 30.4742i | −1.43014 | + | 0.987157i | −0.433864 | + | 0.900979i | \(0.642850\pi\) |
−0.996280 | + | 0.0861781i | \(0.972535\pi\) | |||||||
\(954\) | −56.1289 | − | 43.8769i | −1.81724 | − | 1.42057i | ||||
\(955\) | − | 27.8866i | − | 0.902388i | ||||||
\(956\) | 34.6533 | − | 23.9194i | 1.12077 | − | 0.773610i | ||||
\(957\) | −22.0677 | − | 9.12686i | −0.713349 | − | 0.295030i | ||||
\(958\) | −56.3163 | + | 49.8919i | −1.81950 | + | 1.61193i | ||||
\(959\) | −1.71598 | + | 3.26953i | −0.0554119 | + | 0.105579i | ||||
\(960\) | −17.5115 | − | 20.9893i | −0.565182 | − | 0.677427i | ||||
\(961\) | −18.5594 | − | 4.57448i | −0.598691 | − | 0.147564i | ||||
\(962\) | 1.17082 | + | 1.49445i | 0.0377489 | + | 0.0481829i | ||||
\(963\) | −8.08185 | + | 11.7356i | −0.260434 | + | 0.378173i | ||||
\(964\) | −0.825270 | + | 0.825270i | −0.0265801 | + | 0.0265801i | ||||
\(965\) | 0.518016 | − | 8.56382i | 0.0166755 | − | 0.275679i | ||||
\(966\) | 2.61512 | − | 17.2447i | 0.0841400 | − | 0.554840i | ||||
\(967\) | 1.67524 | − | 1.15633i | 0.0538721 | − | 0.0371852i | −0.540824 | − | 0.841136i | \(-0.681888\pi\) |
0.594696 | + | 0.803950i | \(0.297272\pi\) | |||||||
\(968\) | −2.03783 | − | 11.1201i | −0.0654982 | − | 0.357412i | ||||
\(969\) | 65.5075 | − | 10.0061i | 2.10441 | − | 0.321442i | ||||
\(970\) | 32.3902 | − | 32.3902i | 1.03999 | − | 1.03999i | ||||
\(971\) | −36.5767 | − | 11.3978i | −1.17380 | − | 0.365772i | −0.352251 | − | 0.935905i | \(-0.614584\pi\) |
−0.821552 | + | 0.570134i | \(0.806891\pi\) | |||||||
\(972\) | 43.1933 | − | 1.42136i | 1.38542 | − | 0.0455903i | ||||
\(973\) | 87.5805 | + | 10.6342i | 2.80770 | + | 0.340917i | ||||
\(974\) | −14.1485 | + | 18.0592i | −0.453348 | + | 0.578656i | ||||
\(975\) | 0.123569 | − | 1.36798i | 0.00395739 | − | 0.0438104i | ||||
\(976\) | −0.0157293 | + | 0.0504772i | −0.000503484 | + | 0.00161574i | ||||
\(977\) | −5.90939 | − | 6.67032i | −0.189058 | − | 0.213402i | 0.646338 | − | 0.763052i | \(-0.276300\pi\) |
−0.835396 | + | 0.549649i | \(0.814761\pi\) | |||||||
\(978\) | 0.741750 | − | 0.891007i | 0.0237186 | − | 0.0284913i | ||||
\(979\) | −28.2119 | + | 14.8067i | −0.901655 | + | 0.473225i | ||||
\(980\) | −35.7916 | − | 2.16499i | −1.14332 | − | 0.0691582i | ||||
\(981\) | 38.5787 | − | 23.3783i | 1.23172 | − | 0.746411i | ||||
\(982\) | 35.4186 | + | 31.3781i | 1.13025 | + | 1.00132i | ||||
\(983\) | 3.01424 | + | 49.8313i | 0.0961393 | + | 1.58937i | 0.652080 | + | 0.758150i | \(0.273897\pi\) |
−0.555940 | + | 0.831222i | \(0.687642\pi\) | |||||||
\(984\) | −0.660271 | + | 7.30955i | −0.0210487 | + | 0.233020i | ||||
\(985\) | −10.0400 | − | 4.51865i | −0.319902 | − | 0.143976i | ||||
\(986\) | 44.5752 | − | 64.5783i | 1.41956 | − | 2.05659i | ||||
\(987\) | −57.2453 | + | 60.8781i | −1.82214 | + | 1.93777i | ||||
\(988\) | 0.550023 | + | 4.52985i | 0.0174986 | + | 0.144114i | ||||
\(989\) | −0.751919 | + | 1.43266i | −0.0239096 | + | 0.0455560i | ||||
\(990\) | −5.07660 | + | 16.3532i | −0.161345 | + | 0.519740i | ||||
\(991\) | 2.44725 | − | 2.76238i | 0.0777395 | − | 0.0877497i | −0.708354 | − | 0.705857i | \(-0.750562\pi\) |
0.786093 | + | 0.618108i | \(0.212100\pi\) | |||||||
\(992\) | −18.1249 | + | 18.1249i | −0.575467 | + | 0.575467i | ||||
\(993\) | 0.664508 | + | 1.60183i | 0.0210875 | + | 0.0508325i | ||||
\(994\) | 3.84348 | + | 10.1344i | 0.121908 | + | 0.321444i | ||||
\(995\) | −25.4868 | + | 15.4073i | −0.807986 | + | 0.488445i | ||||
\(996\) | −12.3911 | − | 35.8457i | −0.392628 | − | 1.13581i | ||||
\(997\) | −45.9036 | − | 35.9632i | −1.45378 | − | 1.13896i | −0.963601 | − | 0.267343i | \(-0.913854\pi\) |
−0.490179 | − | 0.871622i | \(-0.663069\pi\) | |||||||
\(998\) | −1.30829 | + | 1.89539i | −0.0414133 | + | 0.0599976i | ||||
\(999\) | −0.555544 | + | 19.4227i | −0.0175766 | + | 0.614507i |
(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 | 471.2.s.a.2.8 | ✓ | 1200 | |
3.2 | odd | 2 | inner | 471.2.s.a.2.43 | yes | 1200 | |
157.79 | odd | 52 | inner | 471.2.s.a.236.43 | yes | 1200 | |
471.236 | even | 52 | inner | 471.2.s.a.236.8 | yes | 1200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
471.2.s.a.2.8 | ✓ | 1200 | 1.1 | even | 1 | trivial | |
471.2.s.a.2.43 | yes | 1200 | 3.2 | odd | 2 | inner | |
471.2.s.a.236.8 | yes | 1200 | 471.236 | even | 52 | inner | |
471.2.s.a.236.43 | yes | 1200 | 157.79 | odd | 52 | inner |