Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,2,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.391266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 39.3 | ||
Character | \(\chi\) | \(=\) | 49.39 |
Dual form | 49.2.g.a.44.3 |
$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{17}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.251257 | − | 0.0378709i | −0.177665 | − | 0.0267788i | 0.0596069 | − | 0.998222i | \(-0.481015\pi\) |
−0.237272 | + | 0.971443i | \(0.576253\pi\) | |||||||
\(3\) | 1.64786 | − | 1.12349i | 0.951395 | − | 0.648650i | 0.0151076 | − | 0.999886i | \(-0.495191\pi\) |
0.936287 | + | 0.351236i | \(0.114239\pi\) | |||||||
\(4\) | −1.84945 | − | 0.570480i | −0.924725 | − | 0.285240i | ||||
\(5\) | 0.0348203 | + | 0.464645i | 0.0155721 | + | 0.207796i | 0.999563 | + | 0.0295745i | \(0.00941522\pi\) |
−0.983990 | + | 0.178221i | \(0.942966\pi\) | |||||||
\(6\) | −0.456585 | + | 0.219880i | −0.186400 | + | 0.0897655i | ||||
\(7\) | −0.363905 | + | 2.62061i | −0.137543 | + | 0.990496i | ||||
\(8\) | 0.900946 | + | 0.433873i | 0.318532 | + | 0.153397i | ||||
\(9\) | 0.357192 | − | 0.910110i | 0.119064 | − | 0.303370i | ||||
\(10\) | 0.00884768 | − | 0.118064i | 0.00279788 | − | 0.0373351i | ||||
\(11\) | −0.940972 | − | 2.39756i | −0.283714 | − | 0.722891i | −0.999693 | − | 0.0247696i | \(-0.992115\pi\) |
0.715979 | − | 0.698121i | \(-0.245980\pi\) | |||||||
\(12\) | −3.68857 | + | 1.13777i | −1.06480 | + | 0.328447i | ||||
\(13\) | −1.96169 | + | 2.45988i | −0.544075 | + | 0.682248i | −0.975525 | − | 0.219888i | \(-0.929431\pi\) |
0.431450 | + | 0.902137i | \(0.358002\pi\) | |||||||
\(14\) | 0.190678 | − | 0.644664i | 0.0509609 | − | 0.172294i | ||||
\(15\) | 0.579406 | + | 0.726552i | 0.149602 | + | 0.187595i | ||||
\(16\) | 2.98833 | + | 2.03741i | 0.747082 | + | 0.509352i | ||||
\(17\) | −3.94998 | − | 3.66505i | −0.958012 | − | 0.888905i | 0.0358699 | − | 0.999356i | \(-0.488580\pi\) |
−0.993882 | + | 0.110452i | \(0.964770\pi\) | |||||||
\(18\) | −0.124214 | + | 0.215144i | −0.0292774 | + | 0.0507100i | ||||
\(19\) | −0.694755 | − | 1.20335i | −0.159388 | − | 0.276068i | 0.775260 | − | 0.631642i | \(-0.217619\pi\) |
−0.934648 | + | 0.355574i | \(0.884285\pi\) | |||||||
\(20\) | 0.200672 | − | 0.879202i | 0.0448717 | − | 0.196596i | ||||
\(21\) | 2.34457 | + | 4.72725i | 0.511627 | + | 1.03157i | ||||
\(22\) | 0.145628 | + | 0.638039i | 0.0310480 | + | 0.136030i | ||||
\(23\) | 6.47174 | − | 6.00489i | 1.34945 | − | 1.25211i | 0.408845 | − | 0.912604i | \(-0.365932\pi\) |
0.940605 | − | 0.339503i | \(-0.110259\pi\) | |||||||
\(24\) | 1.97209 | − | 0.297245i | 0.402551 | − | 0.0606748i | ||||
\(25\) | 4.72947 | − | 0.712853i | 0.945894 | − | 0.142571i | ||||
\(26\) | 0.586046 | − | 0.543771i | 0.114933 | − | 0.106642i | ||||
\(27\) | 0.897498 | + | 3.93219i | 0.172724 | + | 0.756751i | ||||
\(28\) | 2.16803 | − | 4.63908i | 0.409718 | − | 0.876703i | ||||
\(29\) | −0.160206 | + | 0.701907i | −0.0297494 | + | 0.130341i | −0.987622 | − | 0.156853i | \(-0.949865\pi\) |
0.957873 | + | 0.287194i | \(0.0927223\pi\) | |||||||
\(30\) | −0.118065 | − | 0.204494i | −0.0215555 | − | 0.0373353i | ||||
\(31\) | −1.17953 | + | 2.04301i | −0.211850 | + | 0.366936i | −0.952294 | − | 0.305183i | \(-0.901282\pi\) |
0.740443 | + | 0.672119i | \(0.234616\pi\) | |||||||
\(32\) | −2.13975 | − | 1.98539i | −0.378257 | − | 0.350971i | ||||
\(33\) | −4.24424 | − | 2.89367i | −0.738827 | − | 0.503724i | ||||
\(34\) | 0.853662 | + | 1.07046i | 0.146402 | + | 0.183582i | ||||
\(35\) | −1.23032 | − | 0.0778363i | −0.207963 | − | 0.0131567i | ||||
\(36\) | −1.17981 | + | 1.47943i | −0.196635 | + | 0.246572i | ||||
\(37\) | −6.92798 | + | 2.13700i | −1.13895 | + | 0.351320i | −0.806171 | − | 0.591683i | \(-0.798464\pi\) |
−0.332782 | + | 0.943004i | \(0.607987\pi\) | |||||||
\(38\) | 0.128990 | + | 0.328661i | 0.0209250 | + | 0.0533159i | ||||
\(39\) | −0.468935 | + | 6.25750i | −0.0750896 | + | 1.00200i | ||||
\(40\) | −0.170226 | + | 0.433728i | −0.0269150 | + | 0.0685784i | ||||
\(41\) | −7.62467 | − | 3.67185i | −1.19077 | − | 0.573446i | −0.269741 | − | 0.962933i | \(-0.586938\pi\) |
−0.921032 | + | 0.389487i | \(0.872652\pi\) | |||||||
\(42\) | −0.410065 | − | 1.27654i | −0.0632743 | − | 0.196975i | ||||
\(43\) | 4.17155 | − | 2.00891i | 0.636156 | − | 0.306356i | −0.0878673 | − | 0.996132i | \(-0.528005\pi\) |
0.724023 | + | 0.689776i | \(0.242291\pi\) | |||||||
\(44\) | 0.372523 | + | 4.97097i | 0.0561599 | + | 0.749402i | ||||
\(45\) | 0.435316 | + | 0.134277i | 0.0648931 | + | 0.0200169i | ||||
\(46\) | −1.85348 | + | 1.26368i | −0.273281 | + | 0.186320i | ||||
\(47\) | 10.3965 | + | 1.56702i | 1.51648 | + | 0.228573i | 0.853908 | − | 0.520424i | \(-0.174226\pi\) |
0.662574 | + | 0.748997i | \(0.269464\pi\) | |||||||
\(48\) | 7.21337 | 1.04116 | ||||||||
\(49\) | −6.73515 | − | 1.90730i | −0.962164 | − | 0.272472i | ||||
\(50\) | −1.21531 | −0.171871 | ||||||||
\(51\) | −10.6267 | − | 1.60172i | −1.48804 | − | 0.224285i | ||||
\(52\) | 5.03136 | − | 3.43032i | 0.697724 | − | 0.475700i | ||||
\(53\) | 0.496607 | + | 0.153183i | 0.0682142 | + | 0.0210413i | 0.328674 | − | 0.944443i | \(-0.393398\pi\) |
−0.260460 | + | 0.965485i | \(0.583874\pi\) | |||||||
\(54\) | −0.0765868 | − | 1.02198i | −0.0104221 | − | 0.139074i | ||||
\(55\) | 1.08125 | − | 0.520702i | 0.145796 | − | 0.0702115i | ||||
\(56\) | −1.46487 | + | 2.20314i | −0.195751 | + | 0.294406i | ||||
\(57\) | −2.49682 | − | 1.20241i | −0.330712 | − | 0.159262i | ||||
\(58\) | 0.0668346 | − | 0.170292i | 0.00877582 | − | 0.0223604i | ||||
\(59\) | −0.893977 | + | 11.9293i | −0.116386 | + | 1.55306i | 0.567439 | + | 0.823416i | \(0.307934\pi\) |
−0.683825 | + | 0.729646i | \(0.739685\pi\) | |||||||
\(60\) | −0.657099 | − | 1.67426i | −0.0848311 | − | 0.216146i | ||||
\(61\) | −0.819354 | + | 0.252737i | −0.104907 | + | 0.0323597i | −0.346765 | − | 0.937952i | \(-0.612720\pi\) |
0.241857 | + | 0.970312i | \(0.422244\pi\) | |||||||
\(62\) | 0.373737 | − | 0.468651i | 0.0474646 | − | 0.0595187i | ||||
\(63\) | 2.25506 | + | 1.26725i | 0.284110 | + | 0.159659i | ||||
\(64\) | −4.04762 | − | 5.07555i | −0.505952 | − | 0.634444i | ||||
\(65\) | −1.21128 | − | 0.825836i | −0.150241 | − | 0.102432i | ||||
\(66\) | 0.956808 | + | 0.887788i | 0.117775 | + | 0.109279i | ||||
\(67\) | 0.694192 | − | 1.20238i | 0.0848090 | − | 0.146894i | −0.820501 | − | 0.571645i | \(-0.806305\pi\) |
0.905310 | + | 0.424752i | \(0.139639\pi\) | |||||||
\(68\) | 5.21446 | + | 9.03171i | 0.632346 | + | 1.09526i | ||||
\(69\) | 3.91807 | − | 17.1662i | 0.471681 | − | 2.06657i | ||||
\(70\) | 0.306180 | + | 0.0661503i | 0.0365955 | + | 0.00790648i | ||||
\(71\) | −0.714786 | − | 3.13168i | −0.0848294 | − | 0.371662i | 0.914639 | − | 0.404272i | \(-0.132475\pi\) |
−0.999468 | + | 0.0326102i | \(0.989618\pi\) | |||||||
\(72\) | 0.716683 | − | 0.664984i | 0.0844618 | − | 0.0783691i | ||||
\(73\) | −2.15258 | + | 0.324450i | −0.251941 | + | 0.0379739i | −0.273798 | − | 0.961787i | \(-0.588280\pi\) |
0.0218576 | + | 0.999761i | \(0.493042\pi\) | |||||||
\(74\) | 1.82163 | − | 0.274567i | 0.211761 | − | 0.0319178i | ||||
\(75\) | 6.99264 | − | 6.48822i | 0.807440 | − | 0.749195i | ||||
\(76\) | 0.598427 | + | 2.62188i | 0.0686443 | + | 0.300750i | ||||
\(77\) | 6.62548 | − | 1.59343i | 0.755043 | − | 0.181589i | ||||
\(78\) | 0.354800 | − | 1.55448i | 0.0401732 | − | 0.176010i | ||||
\(79\) | 5.38904 | + | 9.33410i | 0.606315 | + | 1.05017i | 0.991842 | + | 0.127472i | \(0.0406862\pi\) |
−0.385527 | + | 0.922696i | \(0.625981\pi\) | |||||||
\(80\) | −0.842617 | + | 1.45945i | −0.0942074 | + | 0.163172i | ||||
\(81\) | 8.04685 | + | 7.46639i | 0.894095 | + | 0.829599i | ||||
\(82\) | 1.77669 | + | 1.21133i | 0.196203 | + | 0.133769i | ||||
\(83\) | −0.908423 | − | 1.13913i | −0.0997123 | − | 0.125035i | 0.729472 | − | 0.684011i | \(-0.239766\pi\) |
−0.829184 | + | 0.558976i | \(0.811195\pi\) | |||||||
\(84\) | −1.63937 | − | 10.0803i | −0.178870 | − | 1.09985i | ||||
\(85\) | 1.56541 | − | 1.96296i | 0.169792 | − | 0.212913i | ||||
\(86\) | −1.12421 | + | 0.346773i | −0.121227 | + | 0.0373935i | ||||
\(87\) | 0.524591 | + | 1.33664i | 0.0562421 | + | 0.143303i | ||||
\(88\) | 0.192470 | − | 2.56833i | 0.0205174 | − | 0.273785i | ||||
\(89\) | −3.11085 | + | 7.92631i | −0.329749 | + | 0.840187i | 0.665816 | + | 0.746116i | \(0.268083\pi\) |
−0.995565 | + | 0.0940713i | \(0.970012\pi\) | |||||||
\(90\) | −0.104291 | − | 0.0502239i | −0.0109932 | − | 0.00529406i | ||||
\(91\) | −5.73251 | − | 6.03598i | −0.600930 | − | 0.632743i | ||||
\(92\) | −15.3948 | + | 7.41376i | −1.60502 | + | 0.772937i | ||||
\(93\) | 0.351602 | + | 4.69180i | 0.0364594 | + | 0.486518i | ||||
\(94\) | −2.55284 | − | 0.787448i | −0.263306 | − | 0.0812190i | ||||
\(95\) | 0.534940 | − | 0.364716i | 0.0548837 | − | 0.0374191i | ||||
\(96\) | −5.75659 | − | 0.867666i | −0.587529 | − | 0.0885558i | ||||
\(97\) | 10.1608 | 1.03168 | 0.515838 | − | 0.856686i | \(-0.327480\pi\) | ||||
0.515838 | + | 0.856686i | \(0.327480\pi\) | |||||||
\(98\) | 1.62002 | + | 0.734289i | 0.163647 | + | 0.0741744i | ||||
\(99\) | −2.51815 | −0.253084 | ||||||||
\(100\) | −9.15359 | − | 1.37968i | −0.915359 | − | 0.137968i | ||||
\(101\) | −10.8529 | + | 7.39940i | −1.07991 | + | 0.736267i | −0.966341 | − | 0.257263i | \(-0.917179\pi\) |
−0.113565 | + | 0.993531i | \(0.536227\pi\) | |||||||
\(102\) | 2.60937 | + | 0.804885i | 0.258366 | + | 0.0796955i | ||||
\(103\) | −1.05132 | − | 14.0289i | −0.103589 | − | 1.38230i | −0.770630 | − | 0.637283i | \(-0.780058\pi\) |
0.667041 | − | 0.745021i | \(-0.267561\pi\) | |||||||
\(104\) | −2.83465 | + | 1.36510i | −0.277960 | + | 0.133859i | ||||
\(105\) | −2.11485 | + | 1.25400i | −0.206389 | + | 0.122378i | ||||
\(106\) | −0.118975 | − | 0.0572952i | −0.0115558 | − | 0.00556500i | ||||
\(107\) | 4.81796 | − | 12.2760i | 0.465769 | − | 1.18676i | −0.484350 | − | 0.874874i | \(-0.660944\pi\) |
0.950119 | − | 0.311887i | \(-0.100961\pi\) | |||||||
\(108\) | 0.583360 | − | 7.78440i | 0.0561339 | − | 0.749054i | ||||
\(109\) | 4.45027 | + | 11.3391i | 0.426259 | + | 1.08609i | 0.969190 | + | 0.246313i | \(0.0792191\pi\) |
−0.542932 | + | 0.839777i | \(0.682686\pi\) | |||||||
\(110\) | −0.291391 | + | 0.0898822i | −0.0277830 | + | 0.00856993i | ||||
\(111\) | −9.01546 | + | 11.3050i | −0.855710 | + | 1.07303i | ||||
\(112\) | −6.42670 | + | 7.08980i | −0.607267 | + | 0.669923i | ||||
\(113\) | 3.46295 | + | 4.34240i | 0.325766 | + | 0.408498i | 0.917564 | − | 0.397589i | \(-0.130153\pi\) |
−0.591797 | + | 0.806087i | \(0.701581\pi\) | |||||||
\(114\) | 0.581807 | + | 0.396670i | 0.0544913 | + | 0.0371515i | ||||
\(115\) | 3.01549 | + | 2.79797i | 0.281196 | + | 0.260912i | ||||
\(116\) | 0.696716 | − | 1.20675i | 0.0646885 | − | 0.112044i | ||||
\(117\) | 1.53806 | + | 2.66400i | 0.142194 | + | 0.246287i | ||||
\(118\) | 0.676391 | − | 2.96346i | 0.0622668 | − | 0.272809i | ||||
\(119\) | 11.0421 | − | 9.01762i | 1.01222 | − | 0.826644i | ||||
\(120\) | 0.206782 | + | 0.905972i | 0.0188765 | + | 0.0827035i | ||||
\(121\) | 3.20071 | − | 2.96983i | 0.290974 | − | 0.269984i | ||||
\(122\) | 0.215440 | − | 0.0324723i | 0.0195050 | − | 0.00293990i | ||||
\(123\) | −16.6897 | + | 2.51557i | −1.50486 | + | 0.226821i | ||||
\(124\) | 3.34699 | − | 3.10555i | 0.300568 | − | 0.278886i | ||||
\(125\) | 1.01432 | + | 4.44403i | 0.0907237 | + | 0.397486i | ||||
\(126\) | −0.518606 | − | 0.403807i | −0.0462011 | − | 0.0359740i | ||||
\(127\) | −1.80840 | + | 7.92313i | −0.160470 | + | 0.703064i | 0.829111 | + | 0.559084i | \(0.188847\pi\) |
−0.989581 | + | 0.143980i | \(0.954010\pi\) | |||||||
\(128\) | 3.74373 | + | 6.48433i | 0.330902 | + | 0.573140i | ||||
\(129\) | 4.61715 | − | 7.99713i | 0.406517 | − | 0.704108i | ||||
\(130\) | 0.273067 | + | 0.253369i | 0.0239496 | + | 0.0222220i | ||||
\(131\) | −5.99116 | − | 4.08470i | −0.523450 | − | 0.356882i | 0.272586 | − | 0.962131i | \(-0.412121\pi\) |
−0.796036 | + | 0.605249i | \(0.793073\pi\) | |||||||
\(132\) | 6.19872 | + | 7.77295i | 0.539530 | + | 0.676549i | ||||
\(133\) | 3.40633 | − | 1.38277i | 0.295367 | − | 0.119902i | ||||
\(134\) | −0.219956 | + | 0.275816i | −0.0190013 | + | 0.0238268i | ||||
\(135\) | −1.79582 | + | 0.553938i | −0.154560 | + | 0.0476754i | ||||
\(136\) | −1.96856 | − | 5.01580i | −0.168802 | − | 0.430101i | ||||
\(137\) | 1.12600 | − | 15.0255i | 0.0962010 | − | 1.28371i | −0.715074 | − | 0.699048i | \(-0.753607\pi\) |
0.811275 | − | 0.584664i | \(-0.198774\pi\) | |||||||
\(138\) | −1.63454 | + | 4.16475i | −0.139142 | + | 0.354527i | ||||
\(139\) | −7.34377 | − | 3.53657i | −0.622891 | − | 0.299968i | 0.0956909 | − | 0.995411i | \(-0.469494\pi\) |
−0.718581 | + | 0.695443i | \(0.755208\pi\) | |||||||
\(140\) | 2.23102 | + | 0.845829i | 0.188555 | + | 0.0714856i | ||||
\(141\) | 18.8925 | − | 9.09815i | 1.59104 | − | 0.766203i | ||||
\(142\) | 0.0609953 | + | 0.813926i | 0.00511861 | + | 0.0683032i | ||||
\(143\) | 7.74361 | + | 2.38859i | 0.647553 | + | 0.199744i | ||||
\(144\) | 2.92167 | − | 1.99196i | 0.243473 | − | 0.165997i | ||||
\(145\) | −0.331716 | − | 0.0499982i | −0.0275475 | − | 0.00415212i | ||||
\(146\) | 0.553138 | 0.0457781 | ||||||||
\(147\) | −13.2414 | + | 4.42393i | −1.09214 | + | 0.364879i | ||||
\(148\) | 14.0321 | 1.15343 | ||||||||
\(149\) | 1.08135 | + | 0.162988i | 0.0885880 | + | 0.0133525i | 0.193187 | − | 0.981162i | \(-0.438118\pi\) |
−0.104599 | + | 0.994515i | \(0.533356\pi\) | |||||||
\(150\) | −2.00266 | + | 1.36539i | −0.163517 | + | 0.111484i | ||||
\(151\) | 0.200064 | + | 0.0617117i | 0.0162810 | + | 0.00502203i | 0.302885 | − | 0.953027i | \(-0.402050\pi\) |
−0.286604 | + | 0.958049i | \(0.592526\pi\) | |||||||
\(152\) | −0.103836 | − | 1.38559i | −0.00842218 | − | 0.112386i | ||||
\(153\) | −4.74650 | + | 2.28579i | −0.383732 | + | 0.184795i | ||||
\(154\) | −1.72504 | + | 0.149449i | −0.139008 | + | 0.0120429i | ||||
\(155\) | −0.990348 | − | 0.476926i | −0.0795466 | − | 0.0383076i | ||||
\(156\) | 4.43705 | − | 11.3054i | 0.355248 | − | 0.905157i | ||||
\(157\) | 1.25760 | − | 16.7815i | 0.100367 | − | 1.33931i | −0.688720 | − | 0.725027i | \(-0.741827\pi\) |
0.789087 | − | 0.614281i | \(-0.210554\pi\) | |||||||
\(158\) | −1.00054 | − | 2.54934i | −0.0795990 | − | 0.202815i | ||||
\(159\) | 0.990440 | − | 0.305510i | 0.0785470 | − | 0.0242285i | ||||
\(160\) | 0.847997 | − | 1.06335i | 0.0670401 | − | 0.0840656i | ||||
\(161\) | 13.3814 | + | 19.1451i | 1.05460 | + | 1.50884i | ||||
\(162\) | −1.73907 | − | 2.18072i | −0.136634 | − | 0.171334i | ||||
\(163\) | −9.73152 | − | 6.63484i | −0.762231 | − | 0.519680i | 0.118697 | − | 0.992931i | \(-0.462128\pi\) |
−0.880928 | + | 0.473250i | \(0.843081\pi\) | |||||||
\(164\) | 12.0067 | + | 11.1406i | 0.937568 | + | 0.869936i | ||||
\(165\) | 1.19675 | − | 2.07282i | 0.0931665 | − | 0.161369i | ||||
\(166\) | 0.185108 | + | 0.320616i | 0.0143672 | + | 0.0248846i | ||||
\(167\) | 0.0476387 | − | 0.208719i | 0.00368639 | − | 0.0161511i | −0.973051 | − | 0.230589i | \(-0.925935\pi\) |
0.976738 | + | 0.214438i | \(0.0687919\pi\) | |||||||
\(168\) | 0.0613080 | + | 5.27624i | 0.00473002 | + | 0.407071i | ||||
\(169\) | 0.689983 | + | 3.02301i | 0.0530756 | + | 0.232539i | ||||
\(170\) | −0.467659 | + | 0.433924i | −0.0358678 | + | 0.0332804i | ||||
\(171\) | −1.34334 | + | 0.202476i | −0.102728 | + | 0.0154838i | ||||
\(172\) | −8.86112 | + | 1.33560i | −0.675654 | + | 0.101838i | ||||
\(173\) | −10.5461 | + | 9.78537i | −0.801807 | + | 0.743968i | −0.970344 | − | 0.241727i | \(-0.922286\pi\) |
0.168538 | + | 0.985695i | \(0.446096\pi\) | |||||||
\(174\) | −0.0811876 | − | 0.355706i | −0.00615482 | − | 0.0269660i | ||||
\(175\) | 0.147029 | + | 12.6535i | 0.0111144 | + | 0.956514i | ||||
\(176\) | 2.07287 | − | 9.08183i | 0.156248 | − | 0.684569i | ||||
\(177\) | 11.9293 | + | 20.6622i | 0.896665 | + | 1.55307i | ||||
\(178\) | 1.08180 | − | 1.87373i | 0.0810842 | − | 0.140442i | ||||
\(179\) | −15.8146 | − | 14.6738i | −1.18204 | − | 1.09677i | −0.993397 | − | 0.114728i | \(-0.963400\pi\) |
−0.188644 | − | 0.982046i | \(-0.560409\pi\) | |||||||
\(180\) | −0.728492 | − | 0.496678i | −0.0542986 | − | 0.0370202i | ||||
\(181\) | −1.73024 | − | 2.16965i | −0.128608 | − | 0.161269i | 0.713358 | − | 0.700799i | \(-0.247173\pi\) |
−0.841966 | + | 0.539531i | \(0.818602\pi\) | |||||||
\(182\) | 1.21175 | + | 1.73368i | 0.0898205 | + | 0.128509i | ||||
\(183\) | −1.06623 | + | 1.33702i | −0.0788183 | + | 0.0988350i | ||||
\(184\) | 8.43604 | − | 2.60217i | 0.621913 | − | 0.191835i | ||||
\(185\) | −1.23418 | − | 3.14464i | −0.0907388 | − | 0.231199i | ||||
\(186\) | 0.0893403 | − | 1.19216i | 0.00655075 | − | 0.0874137i | ||||
\(187\) | −5.07034 | + | 12.9190i | −0.370780 | + | 0.944733i | ||||
\(188\) | −18.3338 | − | 8.82910i | −1.33713 | − | 0.643928i | ||||
\(189\) | −10.6313 | + | 0.921043i | −0.773316 | + | 0.0669960i | ||||
\(190\) | −0.148219 | + | 0.0713787i | −0.0107530 | + | 0.00517836i | ||||
\(191\) | −0.902168 | − | 12.0386i | −0.0652786 | − | 0.871082i | −0.929701 | − | 0.368316i | \(-0.879935\pi\) |
0.864422 | − | 0.502766i | \(-0.167684\pi\) | |||||||
\(192\) | −12.3723 | − | 3.81634i | −0.892892 | − | 0.275421i | ||||
\(193\) | −1.62832 | + | 1.11017i | −0.117209 | + | 0.0799118i | −0.620506 | − | 0.784202i | \(-0.713073\pi\) |
0.503297 | + | 0.864114i | \(0.332120\pi\) | |||||||
\(194\) | −2.55298 | − | 0.384800i | −0.183293 | − | 0.0276270i | ||||
\(195\) | −2.92384 | −0.209381 | ||||||||
\(196\) | 11.3682 | + | 7.36972i | 0.812017 | + | 0.526409i | ||||
\(197\) | −15.8352 | −1.12821 | −0.564105 | − | 0.825703i | \(-0.690779\pi\) | ||||
−0.564105 | + | 0.825703i | \(0.690779\pi\) | |||||||
\(198\) | 0.632703 | + | 0.0953646i | 0.0449642 | + | 0.00677727i | ||||
\(199\) | −0.930925 | + | 0.634694i | −0.0659915 | + | 0.0449923i | −0.595866 | − | 0.803084i | \(-0.703191\pi\) |
0.529875 | + | 0.848076i | \(0.322239\pi\) | |||||||
\(200\) | 4.57029 | + | 1.40975i | 0.323168 | + | 0.0996841i | ||||
\(201\) | −0.206929 | − | 2.76127i | −0.0145956 | − | 0.194765i | ||||
\(202\) | 3.00709 | − | 1.44814i | 0.211578 | − | 0.101891i | ||||
\(203\) | −1.78112 | − | 0.675263i | −0.125010 | − | 0.0473942i | ||||
\(204\) | 18.7398 | + | 9.02461i | 1.31205 | + | 0.631849i | ||||
\(205\) | 1.44061 | − | 3.67062i | 0.100617 | − | 0.256367i | ||||
\(206\) | −0.267134 | + | 3.56466i | −0.0186121 | + | 0.248362i | ||||
\(207\) | −3.15346 | − | 8.03489i | −0.219181 | − | 0.558464i | ||||
\(208\) | −10.8739 | + | 3.35417i | −0.753973 | + | 0.232570i | ||||
\(209\) | −2.23136 | + | 2.79804i | −0.154346 | + | 0.193544i | ||||
\(210\) | 0.578862 | − | 0.234984i | 0.0399453 | − | 0.0162155i | ||||
\(211\) | 8.26561 | + | 10.3648i | 0.569028 | + | 0.713539i | 0.980198 | − | 0.198020i | \(-0.0634510\pi\) |
−0.411170 | + | 0.911559i | \(0.634880\pi\) | |||||||
\(212\) | −0.831061 | − | 0.566608i | −0.0570775 | − | 0.0389148i | ||||
\(213\) | −4.69629 | − | 4.35752i | −0.321785 | − | 0.298573i | ||||
\(214\) | −1.67545 | + | 2.90196i | −0.114531 | + | 0.198374i | ||||
\(215\) | 1.07869 | + | 1.86834i | 0.0735659 | + | 0.127420i | ||||
\(216\) | −0.897475 | + | 3.93209i | −0.0610654 | + | 0.267545i | ||||
\(217\) | −4.92469 | − | 3.83455i | −0.334310 | − | 0.260307i | ||||
\(218\) | −0.688740 | − | 3.01757i | −0.0466473 | − | 0.204375i | ||||
\(219\) | −3.18264 | + | 2.95306i | −0.215063 | + | 0.199549i | ||||
\(220\) | −2.29677 | + | 0.346182i | −0.154848 | + | 0.0233396i | ||||
\(221\) | 16.7642 | − | 2.52680i | 1.12768 | − | 0.169971i | ||||
\(222\) | 2.69333 | − | 2.49904i | 0.180764 | − | 0.167725i | ||||
\(223\) | 4.67329 | + | 20.4750i | 0.312947 | + | 1.37111i | 0.849654 | + | 0.527341i | \(0.176811\pi\) |
−0.536707 | + | 0.843769i | \(0.680332\pi\) | |||||||
\(224\) | 5.98160 | − | 4.88493i | 0.399662 | − | 0.326388i | ||||
\(225\) | 1.04055 | − | 4.55897i | 0.0693703 | − | 0.303931i | ||||
\(226\) | −0.705639 | − | 1.22220i | −0.0469384 | − | 0.0812997i | ||||
\(227\) | 9.50674 | − | 16.4662i | 0.630985 | − | 1.09290i | −0.356366 | − | 0.934346i | \(-0.615984\pi\) |
0.987351 | − | 0.158551i | \(-0.0506823\pi\) | |||||||
\(228\) | 3.93180 | + | 3.64817i | 0.260390 | + | 0.241606i | ||||
\(229\) | −6.78737 | − | 4.62755i | −0.448522 | − | 0.305797i | 0.317912 | − | 0.948120i | \(-0.397018\pi\) |
−0.766434 | + | 0.642323i | \(0.777971\pi\) | |||||||
\(230\) | −0.651702 | − | 0.817209i | −0.0429720 | − | 0.0538851i | ||||
\(231\) | 9.12767 | − | 10.0695i | 0.600557 | − | 0.662521i | ||||
\(232\) | −0.448875 | + | 0.562871i | −0.0294701 | + | 0.0369543i | ||||
\(233\) | 8.07563 | − | 2.49100i | 0.529052 | − | 0.163191i | −0.0187101 | − | 0.999825i | \(-0.505956\pi\) |
0.547762 | + | 0.836634i | \(0.315480\pi\) | |||||||
\(234\) | −0.285561 | − | 0.727597i | −0.0186677 | − | 0.0475645i | ||||
\(235\) | −0.366098 | + | 4.88524i | −0.0238816 | + | 0.318678i | ||||
\(236\) | 8.45879 | − | 21.5526i | 0.550620 | − | 1.40296i | ||||
\(237\) | 19.3672 | + | 9.32676i | 1.25804 | + | 0.605838i | ||||
\(238\) | −3.11590 | + | 1.84757i | −0.201974 | + | 0.119760i | ||||
\(239\) | −10.5697 | + | 5.09010i | −0.683697 | + | 0.329251i | −0.743288 | − | 0.668972i | \(-0.766735\pi\) |
0.0595909 | + | 0.998223i | \(0.481020\pi\) | |||||||
\(240\) | 0.251172 | + | 3.35166i | 0.0162131 | + | 0.216349i | ||||
\(241\) | 10.8791 | + | 3.35577i | 0.700786 | + | 0.216164i | 0.624617 | − | 0.780931i | \(-0.285255\pi\) |
0.0761691 | + | 0.997095i | \(0.475731\pi\) | |||||||
\(242\) | −0.916671 | + | 0.624976i | −0.0589259 | + | 0.0401750i | ||||
\(243\) | 9.68376 | + | 1.45959i | 0.621213 | + | 0.0936329i | ||||
\(244\) | 1.65953 | 0.106241 | ||||||||
\(245\) | 0.651699 | − | 3.19587i | 0.0416355 | − | 0.204176i | ||||
\(246\) | 4.28867 | 0.273436 | ||||||||
\(247\) | 4.32300 | + | 0.651587i | 0.275066 | + | 0.0414595i | ||||
\(248\) | −1.94910 | + | 1.32888i | −0.123768 | + | 0.0843837i | ||||
\(249\) | −2.77676 | − | 0.856517i | −0.175970 | − | 0.0542795i | ||||
\(250\) | −0.0865559 | − | 1.15501i | −0.00547427 | − | 0.0730491i | ||||
\(251\) | 3.34645 | − | 1.61156i | 0.211226 | − | 0.101721i | −0.325280 | − | 0.945618i | \(-0.605458\pi\) |
0.536505 | + | 0.843897i | \(0.319744\pi\) | |||||||
\(252\) | −3.44767 | − | 3.63018i | −0.217183 | − | 0.228680i | ||||
\(253\) | −20.4868 | − | 9.86593i | −1.28799 | − | 0.620266i | ||||
\(254\) | 0.754430 | − | 1.92226i | 0.0473371 | − | 0.120613i | ||||
\(255\) | 0.374205 | − | 4.99342i | 0.0234336 | − | 0.312700i | ||||
\(256\) | 4.04842 | + | 10.3152i | 0.253027 | + | 0.644701i | ||||
\(257\) | −0.780460 | + | 0.240740i | −0.0486838 | + | 0.0150170i | −0.319001 | − | 0.947754i | \(-0.603347\pi\) |
0.270318 | + | 0.962771i | \(0.412871\pi\) | |||||||
\(258\) | −1.46295 | + | 1.83448i | −0.0910792 | + | 0.114210i | ||||
\(259\) | −3.07910 | − | 18.9332i | −0.191326 | − | 1.17645i | ||||
\(260\) | 1.76908 | + | 2.21835i | 0.109713 | + | 0.137576i | ||||
\(261\) | 0.581588 | + | 0.396520i | 0.0359994 | + | 0.0245440i | ||||
\(262\) | 1.35063 | + | 1.25320i | 0.0834421 | + | 0.0774229i | ||||
\(263\) | −8.05573 | + | 13.9529i | −0.496738 | + | 0.860375i | −0.999993 | − | 0.00376276i | \(-0.998802\pi\) |
0.503255 | + | 0.864138i | \(0.332136\pi\) | |||||||
\(264\) | −2.56834 | − | 4.44850i | −0.158071 | − | 0.273786i | ||||
\(265\) | −0.0538837 | + | 0.236080i | −0.00331005 | + | 0.0145023i | ||||
\(266\) | −0.908232 | + | 0.218431i | −0.0556873 | + | 0.0133928i | ||||
\(267\) | 3.77891 | + | 16.5565i | 0.231266 | + | 1.01324i | ||||
\(268\) | −1.96980 | + | 1.82771i | −0.120325 | + | 0.111645i | ||||
\(269\) | −9.23542 | + | 1.39202i | −0.563093 | + | 0.0848727i | −0.424420 | − | 0.905466i | \(-0.639522\pi\) |
−0.138673 | + | 0.990338i | \(0.544284\pi\) | |||||||
\(270\) | 0.472191 | − | 0.0711714i | 0.0287367 | − | 0.00433135i | ||||
\(271\) | 7.72564 | − | 7.16835i | 0.469299 | − | 0.435446i | −0.409735 | − | 0.912205i | \(-0.634379\pi\) |
0.879034 | + | 0.476758i | \(0.158188\pi\) | |||||||
\(272\) | −4.33664 | − | 19.0001i | −0.262948 | − | 1.15205i | ||||
\(273\) | −16.2278 | − | 3.50603i | −0.982150 | − | 0.212194i | ||||
\(274\) | −0.851944 | + | 3.73261i | −0.0514678 | + | 0.225495i | ||||
\(275\) | −6.15941 | − | 10.6684i | −0.371426 | − | 0.643329i | ||||
\(276\) | −17.0393 | + | 29.5129i | −1.02564 | + | 1.77647i | ||||
\(277\) | 1.34428 | + | 1.24731i | 0.0807698 | + | 0.0749435i | 0.719525 | − | 0.694467i | \(-0.244360\pi\) |
−0.638755 | + | 0.769410i | \(0.720550\pi\) | |||||||
\(278\) | 1.71124 | + | 1.16670i | 0.102633 | + | 0.0699742i | ||||
\(279\) | 1.43805 | + | 1.80325i | 0.0860936 | + | 0.107958i | ||||
\(280\) | −1.07468 | − | 0.603930i | −0.0642246 | − | 0.0360917i | ||||
\(281\) | 4.03145 | − | 5.05527i | 0.240496 | − | 0.301572i | −0.646905 | − | 0.762570i | \(-0.723937\pi\) |
0.887401 | + | 0.460998i | \(0.152509\pi\) | |||||||
\(282\) | −5.09143 | + | 1.57050i | −0.303190 | + | 0.0935218i | ||||
\(283\) | 5.20083 | + | 13.2515i | 0.309157 | + | 0.787720i | 0.998024 | + | 0.0628320i | \(0.0200132\pi\) |
−0.688867 | + | 0.724888i | \(0.741892\pi\) | |||||||
\(284\) | −0.464600 | + | 6.19966i | −0.0275689 | + | 0.367882i | ||||
\(285\) | 0.471752 | − | 1.20200i | 0.0279442 | − | 0.0712006i | ||||
\(286\) | −1.85518 | − | 0.893406i | −0.109699 | − | 0.0528282i | ||||
\(287\) | 12.3971 | − | 18.6450i | 0.731779 | − | 1.10058i | ||||
\(288\) | −2.57123 | + | 1.23824i | −0.151511 | + | 0.0729639i | ||||
\(289\) | 0.899373 | + | 12.0013i | 0.0529043 | + | 0.705959i | ||||
\(290\) | 0.0814525 | + | 0.0251248i | 0.00478306 | + | 0.00147538i | ||||
\(291\) | 16.7437 | − | 11.4156i | 0.981532 | − | 0.669197i | ||||
\(292\) | 4.16618 | + | 0.627951i | 0.243808 | + | 0.0367481i | ||||
\(293\) | 13.8681 | 0.810183 | 0.405091 | − | 0.914276i | \(-0.367240\pi\) | ||||
0.405091 | + | 0.914276i | \(0.367240\pi\) | |||||||
\(294\) | 3.49454 | − | 0.610077i | 0.203806 | − | 0.0355804i | ||||
\(295\) | −5.57402 | −0.324532 | ||||||||
\(296\) | −7.16892 | − | 1.08054i | −0.416685 | − | 0.0628052i | ||||
\(297\) | 8.58315 | − | 5.85189i | 0.498045 | − | 0.339561i | ||||
\(298\) | −0.265525 | − | 0.0819037i | −0.0153815 | − | 0.00474455i | ||||
\(299\) | 2.07579 | + | 27.6994i | 0.120046 | + | 1.60190i | ||||
\(300\) | −16.6339 | + | 8.01048i | −0.960360 | + | 0.462485i | ||||
\(301\) | 3.74652 | + | 11.6630i | 0.215946 | + | 0.672247i | ||||
\(302\) | −0.0479305 | − | 0.0230821i | −0.00275809 | − | 0.00132823i | ||||
\(303\) | −9.57095 | + | 24.3864i | −0.549837 | + | 1.40096i | ||||
\(304\) | 0.375560 | − | 5.01151i | 0.0215399 | − | 0.287430i | ||||
\(305\) | −0.145963 | − | 0.371908i | −0.00835783 | − | 0.0212954i | ||||
\(306\) | 1.27916 | − | 0.394567i | 0.0731245 | − | 0.0225559i | ||||
\(307\) | 12.1790 | − | 15.2719i | 0.695090 | − | 0.871616i | −0.301556 | − | 0.953449i | \(-0.597506\pi\) |
0.996646 | + | 0.0818328i | \(0.0260773\pi\) | |||||||
\(308\) | −13.1625 | − | 0.832725i | −0.750004 | − | 0.0474489i | ||||
\(309\) | −17.4938 | − | 21.9365i | −0.995186 | − | 1.24792i | ||||
\(310\) | 0.230770 | + | 0.157336i | 0.0131069 | + | 0.00893611i | ||||
\(311\) | −6.83433 | − | 6.34133i | −0.387539 | − | 0.359584i | 0.462210 | − | 0.886770i | \(-0.347056\pi\) |
−0.849750 | + | 0.527186i | \(0.823247\pi\) | |||||||
\(312\) | −3.13744 | + | 5.43421i | −0.177623 | + | 0.307651i | ||||
\(313\) | −1.72284 | − | 2.98404i | −0.0973805 | − | 0.168668i | 0.813219 | − | 0.581958i | \(-0.197713\pi\) |
−0.910600 | + | 0.413290i | \(0.864380\pi\) | |||||||
\(314\) | −0.951510 | + | 4.16884i | −0.0536968 | + | 0.235261i | ||||
\(315\) | −0.510301 | + | 1.09193i | −0.0287522 | + | 0.0615231i | ||||
\(316\) | −4.64185 | − | 20.3373i | −0.261125 | − | 1.14406i | ||||
\(317\) | −3.58662 | + | 3.32790i | −0.201445 | + | 0.186913i | −0.774444 | − | 0.632643i | \(-0.781970\pi\) |
0.572999 | + | 0.819556i | \(0.305780\pi\) | |||||||
\(318\) | −0.260425 | + | 0.0392527i | −0.0146039 | + | 0.00220118i | ||||
\(319\) | 1.83361 | − | 0.276373i | 0.102663 | − | 0.0154739i | ||||
\(320\) | 2.21739 | − | 2.05744i | 0.123956 | − | 0.115014i | ||||
\(321\) | −5.85263 | − | 25.6420i | −0.326662 | − | 1.43120i | ||||
\(322\) | −2.63712 | − | 5.31710i | −0.146961 | − | 0.296310i | ||||
\(323\) | −1.66607 | + | 7.29953i | −0.0927026 | + | 0.406157i | ||||
\(324\) | −10.6228 | − | 18.3993i | −0.590157 | − | 1.02218i | ||||
\(325\) | −7.52422 | + | 13.0323i | −0.417369 | + | 0.722904i | ||||
\(326\) | 2.19384 | + | 2.03559i | 0.121506 | + | 0.112741i | ||||
\(327\) | 20.0729 | + | 13.6855i | 1.11003 | + | 0.756807i | ||||
\(328\) | −5.27630 | − | 6.61627i | −0.291335 | − | 0.365322i | ||||
\(329\) | −7.88986 | + | 26.6748i | −0.434982 | + | 1.47063i | ||||
\(330\) | −0.379190 | + | 0.475490i | −0.0208737 | + | 0.0261748i | ||||
\(331\) | −18.1552 | + | 5.60012i | −0.997897 | + | 0.307811i | −0.750332 | − | 0.661061i | \(-0.770107\pi\) |
−0.247565 | + | 0.968871i | \(0.579630\pi\) | |||||||
\(332\) | 1.03023 | + | 2.62499i | 0.0565414 | + | 0.144065i | ||||
\(333\) | −0.529714 | + | 7.06854i | −0.0290282 | + | 0.387354i | ||||
\(334\) | −0.0198739 | + | 0.0506379i | −0.00108745 | + | 0.00277078i | ||||
\(335\) | 0.582850 | + | 0.280686i | 0.0318445 | + | 0.0153355i | ||||
\(336\) | −2.62498 | + | 18.9034i | −0.143204 | + | 1.03126i | ||||
\(337\) | 2.75160 | − | 1.32510i | 0.149889 | − | 0.0721827i | −0.357436 | − | 0.933938i | \(-0.616349\pi\) |
0.507325 | + | 0.861755i | \(0.330635\pi\) | |||||||
\(338\) | −0.0588788 | − | 0.785683i | −0.00320259 | − | 0.0427355i | ||||
\(339\) | 10.5851 | + | 3.26508i | 0.574905 | + | 0.177335i | ||||
\(340\) | −4.01497 | + | 2.73736i | −0.217742 | + | 0.148454i | ||||
\(341\) | 6.00815 | + | 0.905583i | 0.325360 | + | 0.0490401i | ||||
\(342\) | 0.345192 | 0.0186659 | ||||||||
\(343\) | 7.44924 | − | 16.9561i | 0.402221 | − | 0.915543i | ||||
\(344\) | 4.62996 | 0.249631 | ||||||||
\(345\) | 8.11262 | + | 1.22278i | 0.436769 | + | 0.0658323i | ||||
\(346\) | 3.02037 | − | 2.05925i | 0.162376 | − | 0.110706i | ||||
\(347\) | −6.89689 | − | 2.12741i | −0.370245 | − | 0.114205i | 0.104049 | − | 0.994572i | \(-0.466820\pi\) |
−0.474293 | + | 0.880367i | \(0.657296\pi\) | |||||||
\(348\) | −0.207681 | − | 2.77131i | −0.0111329 | − | 0.148558i | ||||
\(349\) | 24.6510 | − | 11.8713i | 1.31954 | − | 0.635455i | 0.364295 | − | 0.931284i | \(-0.381310\pi\) |
0.955241 | + | 0.295829i | \(0.0955958\pi\) | |||||||
\(350\) | 0.442257 | − | 3.18485i | 0.0236396 | − | 0.170237i | ||||
\(351\) | −11.4333 | − | 5.50601i | −0.610267 | − | 0.293889i | ||||
\(352\) | −2.74666 | + | 6.99837i | −0.146397 | + | 0.373014i | ||||
\(353\) | −1.73118 | + | 23.1010i | −0.0921414 | + | 1.22954i | 0.739087 | + | 0.673610i | \(0.235257\pi\) |
−0.831228 | + | 0.555931i | \(0.812362\pi\) | |||||||
\(354\) | −2.21483 | − | 5.64330i | −0.117717 | − | 0.299938i | ||||
\(355\) | 1.43023 | − | 0.441168i | 0.0759088 | − | 0.0234148i | ||||
\(356\) | 10.2752 | − | 12.8846i | 0.544582 | − | 0.682884i | ||||
\(357\) | 8.06457 | − | 27.2655i | 0.426823 | − | 1.44304i | ||||
\(358\) | 3.41782 | + | 4.28582i | 0.180638 | + | 0.226512i | ||||
\(359\) | 12.5654 | + | 8.56694i | 0.663176 | + | 0.452146i | 0.847554 | − | 0.530710i | \(-0.178075\pi\) |
−0.184378 | + | 0.982855i | \(0.559027\pi\) | |||||||
\(360\) | 0.333937 | + | 0.309848i | 0.0176000 | + | 0.0163304i | ||||
\(361\) | 8.53463 | − | 14.7824i | 0.449191 | − | 0.778022i | ||||
\(362\) | 0.352568 | + | 0.610665i | 0.0185306 | + | 0.0320959i | ||||
\(363\) | 1.93775 | − | 8.48985i | 0.101706 | − | 0.445602i | ||||
\(364\) | 7.15859 | + | 14.4335i | 0.375212 | + | 0.756522i | ||||
\(365\) | −0.225708 | − | 0.988890i | −0.0118141 | − | 0.0517608i | ||||
\(366\) | 0.318533 | − | 0.295555i | 0.0166500 | − | 0.0154489i | ||||
\(367\) | 19.7643 | − | 2.97899i | 1.03169 | − | 0.155502i | 0.388690 | − | 0.921369i | \(-0.372928\pi\) |
0.643000 | + | 0.765866i | \(0.277690\pi\) | |||||||
\(368\) | 31.5741 | − | 4.75903i | 1.64591 | − | 0.248081i | ||||
\(369\) | −6.06525 | + | 5.62773i | −0.315745 | + | 0.292968i | ||||
\(370\) | 0.191006 | + | 0.836853i | 0.00992994 | + | 0.0435059i | ||||
\(371\) | −0.582149 | + | 1.24567i | −0.0302237 | + | 0.0646718i | ||||
\(372\) | 2.02631 | − | 8.87784i | 0.105059 | − | 0.460295i | ||||
\(373\) | −9.26435 | − | 16.0463i | −0.479690 | − | 0.830847i | 0.520039 | − | 0.854143i | \(-0.325917\pi\) |
−0.999729 | + | 0.0232955i | \(0.992584\pi\) | |||||||
\(374\) | 1.76321 | − | 3.05398i | 0.0911736 | − | 0.157917i | ||||
\(375\) | 6.66431 | + | 6.18358i | 0.344144 | + | 0.319319i | ||||
\(376\) | 8.68678 | + | 5.92254i | 0.447986 | + | 0.305432i | ||||
\(377\) | −1.41233 | − | 1.77101i | −0.0727389 | − | 0.0912117i | ||||
\(378\) | 2.70608 | + | 0.171200i | 0.139186 | + | 0.00880556i | ||||
\(379\) | 6.64452 | − | 8.33196i | 0.341306 | − | 0.427984i | −0.581323 | − | 0.813673i | \(-0.697465\pi\) |
0.922629 | + | 0.385689i | \(0.126036\pi\) | |||||||
\(380\) | −1.19741 | + | 0.369351i | −0.0614257 | + | 0.0189473i | ||||
\(381\) | 5.92159 | + | 15.0880i | 0.303372 | + | 0.772980i | ||||
\(382\) | −0.229236 | + | 3.05895i | −0.0117287 | + | 0.156509i | ||||
\(383\) | 6.65011 | − | 16.9442i | 0.339805 | − | 0.865809i | −0.654185 | − | 0.756335i | \(-0.726988\pi\) |
0.993990 | − | 0.109474i | \(-0.0349166\pi\) | |||||||
\(384\) | 13.4543 | + | 6.47924i | 0.686585 | + | 0.330642i | ||||
\(385\) | 0.971083 | + | 3.02301i | 0.0494910 | + | 0.154067i | ||||
\(386\) | 0.451170 | − | 0.217272i | 0.0229639 | − | 0.0110589i | ||||
\(387\) | −0.338288 | − | 4.51414i | −0.0171961 | − | 0.229467i | ||||
\(388\) | −18.7920 | − | 5.79655i | −0.954017 | − | 0.294275i | ||||
\(389\) | −20.2465 | + | 13.8038i | −1.02654 | + | 0.699882i | −0.954711 | − | 0.297535i | \(-0.903835\pi\) |
−0.0718275 | + | 0.997417i | \(0.522883\pi\) | |||||||
\(390\) | 0.734636 | + | 0.110729i | 0.0371998 | + | 0.00560696i | ||||
\(391\) | −47.5715 | −2.40579 | ||||||||
\(392\) | −5.24048 | − | 4.64057i | −0.264684 | − | 0.234384i | ||||
\(393\) | −14.4617 | −0.729499 | ||||||||
\(394\) | 3.97870 | + | 0.599693i | 0.200444 | + | 0.0302121i | ||||
\(395\) | −4.14940 | + | 2.82901i | −0.208779 | + | 0.142343i | ||||
\(396\) | 4.65719 | + | 1.43655i | 0.234033 | + | 0.0721895i | ||||
\(397\) | 1.12967 | + | 15.0744i | 0.0566965 | + | 0.756562i | 0.951018 | + | 0.309136i | \(0.100040\pi\) |
−0.894321 | + | 0.447425i | \(0.852341\pi\) | |||||||
\(398\) | 0.257938 | − | 0.124216i | 0.0129293 | − | 0.00622640i | ||||
\(399\) | 4.05964 | − | 6.10562i | 0.203236 | − | 0.305663i | ||||
\(400\) | 15.5856 | + | 7.50562i | 0.779279 | + | 0.375281i | ||||
\(401\) | −8.51588 | + | 21.6981i | −0.425263 | + | 1.08355i | 0.544340 | + | 0.838865i | \(0.316780\pi\) |
−0.969602 | + | 0.244686i | \(0.921315\pi\) | |||||||
\(402\) | −0.0525795 | + | 0.701625i | −0.00262243 | + | 0.0349939i | ||||
\(403\) | −2.71169 | − | 6.90927i | −0.135079 | − | 0.344175i | ||||
\(404\) | 24.2931 | − | 7.49344i | 1.20863 | − | 0.372813i | ||||
\(405\) | −3.18903 | + | 3.99892i | −0.158464 | + | 0.198708i | ||||
\(406\) | 0.421946 | + | 0.237117i | 0.0209408 | + | 0.0117679i | ||||
\(407\) | 11.6426 | + | 14.5994i | 0.577103 | + | 0.723664i | ||||
\(408\) | −8.87914 | − | 6.05369i | −0.439583 | − | 0.299702i | ||||
\(409\) | −24.5931 | − | 22.8191i | −1.21605 | − | 1.12833i | −0.987963 | − | 0.154690i | \(-0.950562\pi\) |
−0.228088 | − | 0.973641i | \(-0.573247\pi\) | |||||||
\(410\) | −0.500974 | + | 0.867712i | −0.0247413 | + | 0.0428532i | ||||
\(411\) | −15.0255 | − | 26.0250i | −0.741155 | − | 1.28372i | ||||
\(412\) | −6.05882 | + | 26.5454i | −0.298497 | + | 1.30780i | ||||
\(413\) | −30.9367 | − | 6.68389i | −1.52229 | − | 0.328893i | ||||
\(414\) | 0.488041 | + | 2.13825i | 0.0239859 | + | 0.105089i | ||||
\(415\) | 0.497658 | − | 0.461759i | 0.0244291 | − | 0.0226669i | ||||
\(416\) | 9.08135 | − | 1.36879i | 0.445250 | − | 0.0671106i | ||||
\(417\) | −16.0749 | + | 2.42289i | −0.787189 | + | 0.118650i | ||||
\(418\) | 0.666609 | − | 0.618523i | 0.0326049 | − | 0.0302529i | ||||
\(419\) | 4.25627 | + | 18.6479i | 0.207933 | + | 0.911012i | 0.965940 | + | 0.258766i | \(0.0833159\pi\) |
−0.758007 | + | 0.652246i | \(0.773827\pi\) | |||||||
\(420\) | 4.62670 | − | 1.11272i | 0.225760 | − | 0.0542954i | ||||
\(421\) | 1.09630 | − | 4.80319i | 0.0534303 | − | 0.234093i | −0.941161 | − | 0.337958i | \(-0.890264\pi\) |
0.994591 | + | 0.103865i | \(0.0331209\pi\) | |||||||
\(422\) | −1.68427 | − | 2.91724i | −0.0819890 | − | 0.142009i | ||||
\(423\) | 5.13969 | − | 8.90221i | 0.249900 | − | 0.432840i | ||||
\(424\) | 0.380954 | + | 0.353474i | 0.0185008 | + | 0.0171662i | ||||
\(425\) | −21.2940 | − | 14.5180i | −1.03291 | − | 0.704226i | ||||
\(426\) | 1.01495 | + | 1.27271i | 0.0491747 | + | 0.0616631i | ||||
\(427\) | −0.364158 | − | 2.23918i | −0.0176228 | − | 0.108361i | ||||
\(428\) | −15.9138 | + | 19.9552i | −0.769220 | + | 0.964572i | ||||
\(429\) | 15.4440 | − | 4.76383i | 0.745642 | − | 0.230000i | ||||
\(430\) | −0.200272 | − | 0.510285i | −0.00965797 | − | 0.0246081i | ||||
\(431\) | −2.27088 | + | 30.3027i | −0.109384 | + | 1.45963i | 0.624855 | + | 0.780741i | \(0.285158\pi\) |
−0.734239 | + | 0.678891i | \(0.762461\pi\) | |||||||
\(432\) | −5.32946 | + | 13.5792i | −0.256414 | + | 0.653332i | ||||
\(433\) | 24.3670 | + | 11.7345i | 1.17101 | + | 0.563926i | 0.915278 | − | 0.402823i | \(-0.131971\pi\) |
0.255727 | + | 0.966749i | \(0.417685\pi\) | |||||||
\(434\) | 1.09214 | + | 1.14996i | 0.0524246 | + | 0.0551999i | ||||
\(435\) | −0.602796 | + | 0.290291i | −0.0289018 | + | 0.0139184i | ||||
\(436\) | −1.76182 | − | 23.5099i | −0.0843761 | − | 1.12592i | ||||
\(437\) | −11.7223 | − | 3.61584i | −0.560752 | − | 0.172969i | ||||
\(438\) | 0.911497 | − | 0.621448i | 0.0435530 | − | 0.0296939i | ||||
\(439\) | −28.0196 | − | 4.22327i | −1.33730 | − | 0.201566i | −0.558848 | − | 0.829270i | \(-0.688757\pi\) |
−0.778452 | + | 0.627704i | \(0.783995\pi\) | |||||||
\(440\) | 1.20007 | 0.0572109 | ||||||||
\(441\) | −4.14160 | + | 5.44845i | −0.197219 | + | 0.259450i | ||||
\(442\) | −4.30782 | −0.204902 | ||||||||
\(443\) | 17.1223 | + | 2.58077i | 0.813506 | + | 0.122616i | 0.542602 | − | 0.839990i | \(-0.317439\pi\) |
0.270904 | + | 0.962606i | \(0.412677\pi\) | |||||||
\(444\) | 23.1229 | − | 15.7649i | 1.09737 | − | 0.748171i | ||||
\(445\) | −3.79124 | − | 1.16944i | −0.179722 | − | 0.0554369i | ||||
\(446\) | −0.398790 | − | 5.32148i | −0.0188832 | − | 0.251979i | ||||
\(447\) | 1.96504 | − | 0.946314i | 0.0929432 | − | 0.0447591i | ||||
\(448\) | 14.7740 | − | 8.76019i | 0.698004 | − | 0.413880i | ||||
\(449\) | 12.7466 | + | 6.13844i | 0.601550 | + | 0.289691i | 0.709767 | − | 0.704436i | \(-0.248800\pi\) |
−0.108218 | + | 0.994127i | \(0.534514\pi\) | |||||||
\(450\) | −0.434099 | + | 1.10607i | −0.0204636 | + | 0.0521404i | ||||
\(451\) | −1.62886 | + | 21.7357i | −0.0767003 | + | 1.02349i | ||||
\(452\) | −3.92729 | − | 10.0066i | −0.184724 | − | 0.470670i | ||||
\(453\) | 0.399012 | − | 0.123079i | 0.0187472 | − | 0.00578275i | ||||
\(454\) | −3.01222 | + | 3.77721i | −0.141371 | + | 0.177273i | ||||
\(455\) | 2.60498 | − | 2.87376i | 0.122123 | − | 0.134724i | ||||
\(456\) | −1.72781 | − | 2.16660i | −0.0809121 | − | 0.101461i | ||||
\(457\) | 26.9539 | + | 18.3769i | 1.26085 | + | 0.859633i | 0.994550 | − | 0.104257i | \(-0.0332466\pi\) |
0.266300 | + | 0.963890i | \(0.414199\pi\) | |||||||
\(458\) | 1.53012 | + | 1.41975i | 0.0714980 | + | 0.0663405i | ||||
\(459\) | 10.8666 | − | 18.8215i | 0.507209 | − | 0.878511i | ||||
\(460\) | −3.98082 | − | 6.89498i | −0.185607 | − | 0.321480i | ||||
\(461\) | −7.14027 | + | 31.2836i | −0.332556 | + | 1.45702i | 0.481608 | + | 0.876387i | \(0.340053\pi\) |
−0.814164 | + | 0.580635i | \(0.802804\pi\) | |||||||
\(462\) | −2.67473 | + | 2.18435i | −0.124440 | + | 0.101625i | ||||
\(463\) | 2.30364 | + | 10.0929i | 0.107059 | + | 0.469057i | 0.999828 | + | 0.0185420i | \(0.00590244\pi\) |
−0.892769 | + | 0.450515i | \(0.851240\pi\) | |||||||
\(464\) | −1.90882 | + | 1.77112i | −0.0886146 | + | 0.0822223i | ||||
\(465\) | −2.16778 | + | 0.326741i | −0.100528 | + | 0.0151522i | ||||
\(466\) | −2.12340 | + | 0.320050i | −0.0983644 | + | 0.0148260i | ||||
\(467\) | −21.7568 | + | 20.1873i | −1.00678 | + | 0.934158i | −0.997833 | − | 0.0658016i | \(-0.979040\pi\) |
−0.00895052 | + | 0.999960i | \(0.502849\pi\) | |||||||
\(468\) | −1.32481 | − | 5.80438i | −0.0612394 | − | 0.268307i | ||||
\(469\) | 2.89833 | + | 2.25675i | 0.133833 | + | 0.104207i | ||||
\(470\) | 0.276993 | − | 1.21359i | 0.0127767 | − | 0.0559785i | ||||
\(471\) | −16.7816 | − | 29.0665i | −0.773253 | − | 1.33931i | ||||
\(472\) | −5.98122 | + | 10.3598i | −0.275308 | + | 0.476847i | ||||
\(473\) | −8.74180 | − | 8.11121i | −0.401949 | − | 0.372954i | ||||
\(474\) | −4.51293 | − | 3.07687i | −0.207286 | − | 0.141325i | ||||
\(475\) | −4.14364 | − | 5.19596i | −0.190123 | − | 0.238407i | ||||
\(476\) | −25.5661 | + | 10.3784i | −1.17182 | + | 0.475691i | ||||
\(477\) | 0.316797 | − | 0.397251i | 0.0145051 | − | 0.0181889i | ||||
\(478\) | 2.84848 | − | 0.878639i | 0.130286 | − | 0.0401880i | ||||
\(479\) | −13.5283 | − | 34.4695i | −0.618123 | − | 1.57495i | −0.805456 | − | 0.592655i | \(-0.798080\pi\) |
0.187333 | − | 0.982296i | \(-0.440016\pi\) | |||||||
\(480\) | 0.202711 | − | 2.70498i | 0.00925243 | − | 0.123465i | ||||
\(481\) | 8.33379 | − | 21.2341i | 0.379988 | − | 0.968193i | ||||
\(482\) | −2.60637 | − | 1.25516i | −0.118717 | − | 0.0571711i | ||||
\(483\) | 43.5600 | + | 16.5146i | 1.98205 | + | 0.751440i | ||||
\(484\) | −7.61378 | + | 3.66660i | −0.346081 | + | 0.166664i | ||||
\(485\) | 0.353804 | + | 4.72119i | 0.0160654 | + | 0.214378i | ||||
\(486\) | −2.37784 | − | 0.733465i | −0.107861 | − | 0.0332707i | ||||
\(487\) | −5.73226 | + | 3.90819i | −0.259753 | + | 0.177097i | −0.686194 | − | 0.727419i | \(-0.740720\pi\) |
0.426440 | + | 0.904516i | \(0.359767\pi\) | |||||||
\(488\) | −0.847849 | − | 0.127793i | −0.0383803 | − | 0.00578490i | ||||
\(489\) | −23.4904 | −1.06227 | ||||||||
\(490\) | −0.284774 | + | 0.778303i | −0.0128648 | + | 0.0351602i | ||||
\(491\) | 32.9745 | 1.48812 | 0.744058 | − | 0.668115i | \(-0.232898\pi\) | ||||
0.744058 | + | 0.668115i | \(0.232898\pi\) | |||||||
\(492\) | 32.3019 | + | 4.86872i | 1.45628 | + | 0.219499i | ||||
\(493\) | 3.20533 | − | 2.18536i | 0.144361 | − | 0.0984236i | ||||
\(494\) | −1.06151 | − | 0.327431i | −0.0477594 | − | 0.0147318i | ||||
\(495\) | −0.0876829 | − | 1.17005i | −0.00394105 | − | 0.0525897i | ||||
\(496\) | −7.68728 | + | 3.70200i | −0.345169 | + | 0.166225i | ||||
\(497\) | 8.46701 | − | 0.733537i | 0.379797 | − | 0.0329036i | ||||
\(498\) | 0.665243 | + | 0.320364i | 0.0298102 | + | 0.0143559i | ||||
\(499\) | 2.97245 | − | 7.57367i | 0.133065 | − | 0.339044i | −0.848775 | − | 0.528754i | \(-0.822659\pi\) |
0.981840 | + | 0.189710i | \(0.0607547\pi\) | |||||||
\(500\) | 0.659294 | − | 8.79767i | 0.0294845 | − | 0.393444i | ||||
\(501\) | −0.155992 | − | 0.397462i | −0.00696922 | − | 0.0177573i | ||||
\(502\) | −0.901849 | + | 0.278184i | −0.0402515 | + | 0.0124159i | ||||
\(503\) | 8.78267 | − | 11.0131i | 0.391600 | − | 0.491050i | −0.546479 | − | 0.837473i | \(-0.684032\pi\) |
0.938079 | + | 0.346422i | \(0.112604\pi\) | |||||||
\(504\) | 1.48186 | + | 2.12013i | 0.0660072 | + | 0.0944382i | ||||
\(505\) | −3.81600 | − | 4.78511i | −0.169810 | − | 0.212935i | ||||
\(506\) | 4.77382 | + | 3.25474i | 0.212222 | + | 0.144691i | ||||
\(507\) | 4.53334 | + | 4.20632i | 0.201332 | + | 0.186809i | ||||
\(508\) | 7.86454 | − | 13.6218i | 0.348932 | − | 0.604369i | ||||
\(509\) | 13.3985 | + | 23.2068i | 0.593877 | + | 1.02862i | 0.993704 | + | 0.112034i | \(0.0357366\pi\) |
−0.399828 | + | 0.916590i | \(0.630930\pi\) | |||||||
\(510\) | −0.283127 | + | 1.24046i | −0.0125371 | + | 0.0549284i | ||||
\(511\) | −0.0669191 | − | 5.75914i | −0.00296033 | − | 0.254769i | ||||
\(512\) | −3.95878 | − | 17.3446i | −0.174955 | − | 0.766529i | ||||
\(513\) | 4.10827 | − | 3.81192i | 0.181385 | − | 0.168300i | ||||
\(514\) | 0.205213 | − | 0.0309309i | 0.00905156 | − | 0.00136430i | ||||
\(515\) | 6.48183 | − | 0.976979i | 0.285624 | − | 0.0430508i | ||||
\(516\) | −13.1014 | + | 12.1563i | −0.576756 | + | 0.535152i | ||||
\(517\) | −6.02578 | − | 26.4007i | −0.265014 | − | 1.16110i | ||||
\(518\) | 0.0566306 | + | 4.87370i | 0.00248821 | + | 0.214138i | ||||
\(519\) | −6.38476 | + | 27.9735i | −0.280260 | + | 1.22790i | ||||
\(520\) | −0.732989 | − | 1.26957i | −0.0321437 | − | 0.0556745i | ||||
\(521\) | 14.6399 | − | 25.3570i | 0.641386 | − | 1.11091i | −0.343738 | − | 0.939066i | \(-0.611693\pi\) |
0.985124 | − | 0.171847i | \(-0.0549734\pi\) | |||||||
\(522\) | −0.131112 | − | 0.121654i | −0.00573860 | − | 0.00532464i | ||||
\(523\) | 34.5847 | + | 23.5795i | 1.51228 | + | 1.03106i | 0.983209 | + | 0.182482i | \(0.0584131\pi\) |
0.529074 | + | 0.848576i | \(0.322539\pi\) | |||||||
\(524\) | 8.75010 | + | 10.9723i | 0.382250 | + | 0.479326i | ||||
\(525\) | 14.4584 | + | 20.6860i | 0.631017 | + | 0.902813i | ||||
\(526\) | 2.55247 | − | 3.20070i | 0.111293 | − | 0.139557i | ||||
\(527\) | 12.1469 | − | 3.74682i | 0.529126 | − | 0.163214i | ||||
\(528\) | −6.78758 | − | 17.2945i | −0.295392 | − | 0.752645i | ||||
\(529\) | 4.10583 | − | 54.7885i | 0.178514 | − | 2.38211i | ||||
\(530\) | 0.0224792 | − | 0.0572761i | 0.000976434 | − | 0.00248791i | ||||
\(531\) | 10.5377 | + | 5.07467i | 0.457295 | + | 0.220222i | ||||
\(532\) | −7.08869 | + | 0.614127i | −0.307334 | + | 0.0266258i | ||||
\(533\) | 23.9895 | − | 11.5528i | 1.03910 | − | 0.500405i | ||||
\(534\) | −0.322469 | − | 4.30304i | −0.0139546 | − | 0.186211i | ||||
\(535\) | 5.87173 | + | 1.81119i | 0.253857 | + | 0.0783045i | ||||
\(536\) | 1.14711 | − | 0.782084i | 0.0495475 | − | 0.0337809i | ||||
\(537\) | −42.5463 | − | 6.41283i | −1.83601 | − | 0.276734i | ||||
\(538\) | 2.37318 | 0.102315 | ||||||||
\(539\) | 1.76472 | + | 17.9426i | 0.0760118 | + | 0.772844i | ||||
\(540\) | 3.63730 | 0.156524 | ||||||||
\(541\) | 9.35335 | + | 1.40979i | 0.402132 | + | 0.0606116i | 0.346995 | − | 0.937867i | \(-0.387202\pi\) |
0.0551374 | + | 0.998479i | \(0.482440\pi\) | |||||||
\(542\) | −2.21259 | + | 1.50852i | −0.0950390 | + | 0.0647965i | ||||
\(543\) | −5.28879 | − | 1.63137i | −0.226964 | − | 0.0700090i | ||||
\(544\) | 1.17539 | + | 15.6845i | 0.0503946 | + | 0.672469i | ||||
\(545\) | −5.11370 | + | 2.46263i | −0.219047 | + | 0.105487i | ||||
\(546\) | 3.94457 | + | 1.49547i | 0.168812 | + | 0.0640004i | ||||
\(547\) | −14.3027 | − | 6.88782i | −0.611540 | − | 0.294502i | 0.102363 | − | 0.994747i | \(-0.467360\pi\) |
−0.713902 | + | 0.700245i | \(0.753074\pi\) | |||||||
\(548\) | −10.6542 | + | 27.1465i | −0.455125 | + | 1.15964i | ||||
\(549\) | −0.0626479 | + | 0.835978i | −0.00267375 | + | 0.0356787i | ||||
\(550\) | 1.14357 | + | 2.91377i | 0.0487621 | + | 0.124244i | ||||
\(551\) | 0.955944 | − | 0.294870i | 0.0407246 | − | 0.0125619i | ||||
\(552\) | 10.9779 | − | 13.7659i | 0.467251 | − | 0.585915i | ||||
\(553\) | −26.4221 | + | 10.7258i | −1.12358 | + | 0.456109i | ||||
\(554\) | −0.290523 | − | 0.364304i | −0.0123431 | − | 0.0154778i | ||||
\(555\) | −5.56675 | − | 3.79535i | −0.236295 | − | 0.161103i | ||||
\(556\) | 11.5644 | + | 10.7302i | 0.490439 | + | 0.455061i | ||||
\(557\) | −12.5872 | + | 21.8017i | −0.533338 | + | 0.923768i | 0.465904 | + | 0.884835i | \(0.345729\pi\) |
−0.999242 | + | 0.0389329i | \(0.987604\pi\) | |||||||
\(558\) | −0.293028 | − | 0.507540i | −0.0124049 | − | 0.0214859i | ||||
\(559\) | −3.24160 | + | 14.2024i | −0.137105 | + | 0.600697i | ||||
\(560\) | −3.51802 | − | 2.73927i | −0.148664 | − | 0.115755i | ||||
\(561\) | 6.15922 | + | 26.9853i | 0.260042 | + | 1.13932i | ||||
\(562\) | −1.20438 | + | 1.11750i | −0.0508035 | + | 0.0471388i | ||||
\(563\) | 14.9955 | − | 2.26021i | 0.631986 | − | 0.0952566i | 0.174766 | − | 0.984610i | \(-0.444083\pi\) |
0.457220 | + | 0.889353i | \(0.348845\pi\) | |||||||
\(564\) | −40.1311 | + | 6.04878i | −1.68982 | + | 0.254700i | ||||
\(565\) | −1.89709 | + | 1.76024i | −0.0798113 | + | 0.0740541i | ||||
\(566\) | −0.804899 | − | 3.52649i | −0.0338324 | − | 0.148229i | ||||
\(567\) | −22.4948 | + | 18.3706i | −0.944691 | + | 0.771492i | ||||
\(568\) | 0.714767 | − | 3.13160i | 0.0299910 | − | 0.131399i | ||||
\(569\) | −14.6471 | − | 25.3696i | −0.614040 | − | 1.06355i | −0.990552 | − | 0.137136i | \(-0.956210\pi\) |
0.376512 | − | 0.926412i | \(-0.377123\pi\) | |||||||
\(570\) | −0.164052 | + | 0.284146i | −0.00687138 | + | 0.0119016i | ||||
\(571\) | 7.97189 | + | 7.39683i | 0.333613 | + | 0.309548i | 0.829136 | − | 0.559047i | \(-0.188833\pi\) |
−0.495523 | + | 0.868595i | \(0.665023\pi\) | |||||||
\(572\) | −12.9588 | − | 8.83514i | −0.541833 | − | 0.369416i | ||||
\(573\) | −15.0119 | − | 18.8244i | −0.627133 | − | 0.786400i | ||||
\(574\) | −3.82097 | + | 4.21521i | −0.159484 | + | 0.175939i | ||||
\(575\) | 26.3273 | − | 33.0134i | 1.09792 | − | 1.37675i | ||||
\(576\) | −6.06509 | + | 1.87083i | −0.252712 | + | 0.0779513i | ||||
\(577\) | 4.27582 | + | 10.8946i | 0.178005 | + | 0.453548i | 0.991831 | − | 0.127560i | \(-0.0407145\pi\) |
−0.813826 | + | 0.581108i | \(0.802619\pi\) | |||||||
\(578\) | 0.228526 | − | 3.04947i | 0.00950543 | − | 0.126841i | ||||
\(579\) | −1.43598 | + | 3.65882i | −0.0596773 | + | 0.152055i | ||||
\(580\) | 0.584969 | + | 0.281706i | 0.0242895 | + | 0.0116972i | ||||
\(581\) | 3.31578 | − | 1.96608i | 0.137562 | − | 0.0815669i | ||||
\(582\) | −4.63929 | + | 2.23416i | −0.192305 | + | 0.0926090i | ||||
\(583\) | −0.100028 | − | 1.33478i | −0.00414275 | − | 0.0552811i | ||||
\(584\) | −2.08013 | − | 0.641635i | −0.0860764 | − | 0.0265510i | ||||
\(585\) | −1.18426 | + | 0.807415i | −0.0489632 | + | 0.0333825i | ||||
\(586\) | −3.48446 | − | 0.525197i | −0.143942 | − | 0.0216957i | ||||
\(587\) | −16.4484 | −0.678898 | −0.339449 | − | 0.940624i | \(-0.610241\pi\) | ||||
−0.339449 | + | 0.940624i | \(0.610241\pi\) | |||||||
\(588\) | 27.0132 | − | 0.627851i | 1.11400 | − | 0.0258921i | ||||
\(589\) | 3.27795 | 0.135066 | ||||||||
\(590\) | 1.40051 | + | 0.211093i | 0.0576581 | + | 0.00869057i | ||||
\(591\) | −26.0942 | + | 17.7907i | −1.07337 | + | 0.731814i | ||||
\(592\) | −25.0570 | − | 7.72906i | −1.02984 | − | 0.317662i | ||||
\(593\) | −2.31118 | − | 30.8406i | −0.0949089 | − | 1.26647i | −0.817797 | − | 0.575506i | \(-0.804805\pi\) |
0.722888 | − | 0.690965i | \(-0.242814\pi\) | |||||||
\(594\) | −2.37819 | + | 1.14528i | −0.0975784 | + | 0.0469913i | ||||
\(595\) | 4.57448 | + | 4.81665i | 0.187535 | + | 0.197463i | ||||
\(596\) | −1.90693 | − | 0.918329i | −0.0781108 | − | 0.0376162i | ||||
\(597\) | −0.820962 | + | 2.09178i | −0.0335997 | + | 0.0856108i | ||||
\(598\) | 0.527447 | − | 7.03829i | 0.0215689 | − | 0.287817i | ||||
\(599\) | −2.42381 | − | 6.17576i | −0.0990340 | − | 0.252335i | 0.872767 | − | 0.488137i | \(-0.162323\pi\) |
−0.971801 | + | 0.235803i | \(0.924228\pi\) | |||||||
\(600\) | 9.11505 | − | 2.81162i | 0.372120 | − | 0.114784i | ||||
\(601\) | −13.7703 | + | 17.2674i | −0.561703 | + | 0.704353i | −0.978872 | − | 0.204476i | \(-0.934451\pi\) |
0.417169 | + | 0.908829i | \(0.363022\pi\) | |||||||
\(602\) | −0.499650 | − | 3.07231i | −0.0203642 | − | 0.125218i | ||||
\(603\) | −0.846335 | − | 1.06127i | −0.0344654 | − | 0.0432183i | ||||
\(604\) | −0.334804 | − | 0.228265i | −0.0136230 | − | 0.00928799i | ||||
\(605\) | 1.49137 | + | 1.38379i | 0.0606327 | + | 0.0562589i | ||||
\(606\) | 3.32830 | − | 5.76479i | 0.135203 | − | 0.234179i | ||||
\(607\) | −2.01882 | − | 3.49669i | −0.0819413 | − | 0.141926i | 0.822142 | − | 0.569282i | \(-0.192779\pi\) |
−0.904084 | + | 0.427355i | \(0.859445\pi\) | |||||||
\(608\) | −0.902527 | + | 3.95423i | −0.0366023 | + | 0.160365i | ||||
\(609\) | −3.69370 | + | 0.888338i | −0.149676 | + | 0.0359973i | ||||
\(610\) | 0.0225898 | + | 0.0989723i | 0.000914634 | + | 0.00400727i | ||||
\(611\) | −24.2493 | + | 22.5001i | −0.981023 | + | 0.910256i | ||||
\(612\) | 10.0824 | − | 1.51968i | 0.407557 | − | 0.0614294i | ||||
\(613\) | −8.49034 | + | 1.27971i | −0.342922 | + | 0.0516871i | −0.318245 | − | 0.948008i | \(-0.603094\pi\) |
−0.0246762 | + | 0.999695i | \(0.507855\pi\) | |||||||
\(614\) | −3.63841 | + | 3.37595i | −0.146834 | + | 0.136242i | ||||
\(615\) | −1.74999 | − | 7.66720i | −0.0705664 | − | 0.309171i | ||||
\(616\) | 6.66055 | + | 1.43902i | 0.268361 | + | 0.0579796i | ||||
\(617\) | 4.13292 | − | 18.1075i | 0.166385 | − | 0.728980i | −0.821037 | − | 0.570875i | \(-0.806604\pi\) |
0.987422 | − | 0.158106i | \(-0.0505387\pi\) | |||||||
\(618\) | 3.56468 | + | 6.17420i | 0.143392 | + | 0.248363i | ||||
\(619\) | 8.01633 | − | 13.8847i | 0.322204 | − | 0.558073i | −0.658739 | − | 0.752372i | \(-0.728910\pi\) |
0.980942 | + | 0.194299i | \(0.0622431\pi\) | |||||||
\(620\) | 1.55952 | + | 1.44702i | 0.0626319 | + | 0.0581139i | ||||
\(621\) | 29.4208 | + | 20.0587i | 1.18062 | + | 0.804930i | ||||
\(622\) | 1.47702 | + | 1.85213i | 0.0592231 | + | 0.0742635i | ||||
\(623\) | −19.6397 | − | 11.0367i | −0.786847 | − | 0.442177i | ||||
\(624\) | −14.1504 | + | 17.7440i | −0.566469 | + | 0.710330i | ||||
\(625\) | 20.8224 | − | 6.42287i | 0.832897 | − | 0.256915i | ||||
\(626\) | 0.319867 | + | 0.815007i | 0.0127844 | + | 0.0325742i | ||||
\(627\) | −0.533398 | + | 7.11770i | −0.0213019 | + | 0.284254i | ||||
\(628\) | −11.8994 | + | 30.3191i | −0.474836 | + | 1.20986i | ||||
\(629\) | 35.1976 | + | 16.9503i | 1.40342 | + | 0.675852i | ||||
\(630\) | 0.169569 | − | 0.255029i | 0.00675579 | − | 0.0101606i | ||||
\(631\) | −5.42888 | + | 2.61441i | −0.216120 | + | 0.104078i | −0.538812 | − | 0.842426i | \(-0.681127\pi\) |
0.322691 | + | 0.946504i | \(0.395412\pi\) | |||||||
\(632\) | 0.805427 | + | 10.7477i | 0.0320382 | + | 0.427520i | ||||
\(633\) | 25.2653 | + | 7.79333i | 1.00421 | + | 0.309757i | ||||
\(634\) | 1.02719 | − | 0.700329i | 0.0407951 | − | 0.0278136i | ||||
\(635\) | −3.74441 | − | 0.564380i | −0.148593 | − | 0.0223967i | ||||
\(636\) | −2.00606 | −0.0795453 | ||||||||
\(637\) | 17.9040 | − | 12.8261i | 0.709383 | − | 0.508190i | ||||
\(638\) | −0.471174 | −0.0186540 | ||||||||
\(639\) | −3.10549 | − | 0.468077i | −0.122851 | − | 0.0185169i | ||||
\(640\) | −2.88256 | + | 1.96529i | −0.113943 | + | 0.0776851i | ||||
\(641\) | 27.1800 | + | 8.38390i | 1.07354 | + | 0.331144i | 0.780629 | − | 0.624994i | \(-0.214899\pi\) |
0.292914 | + | 0.956139i | \(0.405375\pi\) | |||||||
\(642\) | 0.499427 | + | 6.66439i | 0.0197108 | + | 0.263022i | ||||
\(643\) | −3.68820 | + | 1.77614i | −0.145448 | + | 0.0700443i | −0.505192 | − | 0.863007i | \(-0.668578\pi\) |
0.359744 | + | 0.933051i | \(0.382864\pi\) | |||||||
\(644\) | −13.8263 | − | 43.0417i | −0.544832 | − | 1.69608i | ||||
\(645\) | 3.87660 | + | 1.86687i | 0.152641 | + | 0.0735080i | ||||
\(646\) | 0.695051 | − | 1.77096i | 0.0273464 | − | 0.0696776i | ||||
\(647\) | 0.284912 | − | 3.80189i | 0.0112010 | − | 0.149468i | −0.988799 | − | 0.149254i | \(-0.952313\pi\) |
1.00000 | 0.000213846i | \(-6.80692e-5\pi\) | ||||||||
\(648\) | 4.01032 | + | 10.2181i | 0.157540 | + | 0.401406i | ||||
\(649\) | 29.4424 | − | 9.08178i | 1.15572 | − | 0.356491i | ||||
\(650\) | 2.38406 | − | 2.98952i | 0.0935105 | − | 0.117258i | ||||
\(651\) | −12.4233 | − | 0.785960i | −0.486908 | − | 0.0308042i | ||||
\(652\) | 14.2129 | + | 17.8224i | 0.556621 | + | 0.697980i | ||||
\(653\) | −34.9996 | − | 23.8623i | −1.36964 | − | 0.933806i | −0.999989 | − | 0.00463549i | \(-0.998524\pi\) |
−0.369652 | − | 0.929170i | \(-0.620523\pi\) | |||||||
\(654\) | −4.52517 | − | 4.19874i | −0.176948 | − | 0.164184i | ||||
\(655\) | 1.68932 | − | 2.92599i | 0.0660073 | − | 0.114328i | ||||
\(656\) | −15.3040 | − | 26.5072i | −0.597519 | − | 1.03493i | ||||
\(657\) | −0.473600 | + | 2.07498i | −0.0184769 | + | 0.0809526i | ||||
\(658\) | 2.99258 | − | 6.40344i | 0.116663 | − | 0.249632i | ||||
\(659\) | −0.383444 | − | 1.67998i | −0.0149368 | − | 0.0654426i | 0.966910 | − | 0.255117i | \(-0.0821139\pi\) |
−0.981847 | + | 0.189674i | \(0.939257\pi\) | |||||||
\(660\) | −3.39582 | + | 3.15086i | −0.132182 | + | 0.122647i | ||||
\(661\) | −44.0838 | + | 6.64456i | −1.71466 | + | 0.258443i | −0.931596 | − | 0.363497i | \(-0.881583\pi\) |
−0.783065 | + | 0.621940i | \(0.786345\pi\) | |||||||
\(662\) | 4.77369 | − | 0.719518i | 0.185535 | − | 0.0279649i | ||||
\(663\) | 24.7863 | − | 22.9983i | 0.962621 | − | 0.893182i | ||||
\(664\) | −0.324204 | − | 1.42043i | −0.0125816 | − | 0.0551234i | ||||
\(665\) | 0.761109 | + | 1.53459i | 0.0295145 | + | 0.0595088i | ||||
\(666\) | 0.400786 | − | 1.75596i | 0.0155302 | − | 0.0680421i | ||||
\(667\) | 3.17807 | + | 5.50457i | 0.123055 | + | 0.213138i | ||||
\(668\) | −0.207175 | + | 0.358838i | −0.00801585 | + | 0.0138839i | ||||
\(669\) | 30.7045 | + | 28.4897i | 1.18711 | + | 1.10147i | ||||
\(670\) | −0.135815 | − | 0.0925973i | −0.00524700 | − | 0.00357735i | ||||
\(671\) | 1.37694 | + | 1.72663i | 0.0531562 | + | 0.0666558i | ||||
\(672\) | 4.36866 | − | 14.7700i | 0.168525 | − | 0.569765i | ||||
\(673\) | −17.9044 | + | 22.4514i | −0.690164 | + | 0.865438i | −0.996246 | − | 0.0865667i | \(-0.972410\pi\) |
0.306082 | + | 0.952005i | \(0.400982\pi\) | |||||||
\(674\) | −0.741540 | + | 0.228735i | −0.0285631 | + | 0.00881054i | ||||
\(675\) | 7.04777 | + | 17.9574i | 0.271269 | + | 0.691181i | ||||
\(676\) | 0.448479 | − | 5.98453i | 0.0172492 | − | 0.230174i | ||||
\(677\) | 15.4185 | − | 39.2857i | 0.592582 | − | 1.50987i | −0.248316 | − | 0.968679i | \(-0.579877\pi\) |
0.840898 | − | 0.541194i | \(-0.182028\pi\) | |||||||
\(678\) | −2.53593 | − | 1.22124i | −0.0973919 | − | 0.0469015i | ||||
\(679\) | −3.69758 | + | 26.6275i | −0.141900 | + | 1.02187i | ||||
\(680\) | 2.26202 | − | 1.08933i | 0.0867446 | − | 0.0417740i | ||||
\(681\) | −2.83382 | − | 37.8148i | −0.108592 | − | 1.44906i | ||||
\(682\) | −1.47529 | − | 0.455068i | −0.0564919 | − | 0.0174255i | ||||
\(683\) | 18.6328 | − | 12.7036i | 0.712965 | − | 0.486092i | −0.151708 | − | 0.988425i | \(-0.548477\pi\) |
0.864674 | + | 0.502334i | \(0.167525\pi\) | |||||||
\(684\) | 2.59995 | + | 0.391880i | 0.0994118 | + | 0.0149839i | ||||
\(685\) | 7.02072 | 0.268248 | ||||||||
\(686\) | −2.51382 | + | 3.97823i | −0.0959779 | + | 0.151889i | ||||
\(687\) | −16.3837 | −0.625077 | ||||||||
\(688\) | 16.5589 | + | 2.49586i | 0.631303 | + | 0.0951537i | ||||
\(689\) | −1.35100 | + | 0.921096i | −0.0514690 | + | 0.0350910i | ||||
\(690\) | −1.99205 | − | 0.614465i | −0.0758359 | − | 0.0233923i | ||||
\(691\) | −0.314792 | − | 4.20061i | −0.0119753 | − | 0.159799i | −0.999985 | − | 0.00540955i | \(-0.998278\pi\) |
0.988010 | − | 0.154389i | \(-0.0493410\pi\) | |||||||
\(692\) | 25.0869 | − | 12.0812i | 0.953660 | − | 0.459258i | ||||
\(693\) | 0.916367 | − | 6.59908i | 0.0348099 | − | 0.250678i | ||||
\(694\) | 1.65233 | + | 0.795718i | 0.0627214 | + | 0.0302050i | ||||
\(695\) | 1.38754 | − | 3.53539i | 0.0526324 | − | 0.134105i | ||||
\(696\) | −0.107302 | + | 1.43184i | −0.00406727 | + | 0.0542739i | ||||
\(697\) | 16.6598 | + | 42.4485i | 0.631035 | + | 1.60785i | ||||
\(698\) | −6.64330 | + | 2.04919i | −0.251453 | + | 0.0775629i | ||||
\(699\) | 10.5089 | − | 13.1778i | 0.397484 | − | 0.498429i | ||||
\(700\) | 6.94664 | − | 23.4859i | 0.262558 | − | 0.887682i | ||||
\(701\) | −10.8255 | − | 13.5748i | −0.408875 | − | 0.512713i | 0.534170 | − | 0.845377i | \(-0.320624\pi\) |
−0.943046 | + | 0.332664i | \(0.892053\pi\) | |||||||
\(702\) | 2.66419 | + | 1.81641i | 0.100553 | + | 0.0685561i | ||||
\(703\) | 7.38481 | + | 6.85210i | 0.278523 | + | 0.258432i | ||||
\(704\) | −8.36024 | + | 14.4804i | −0.315088 | + | 0.545749i | ||||
\(705\) | 4.88526 | + | 8.46151i | 0.183989 | + | 0.318679i | ||||
\(706\) | 1.30983 | − | 5.73872i | 0.0492960 | − | 0.215980i | ||||
\(707\) | −15.4415 | − | 31.1339i | −0.580736 | − | 1.17091i | ||||
\(708\) | −10.2753 | − | 45.0192i | −0.386171 | − | 1.69193i | ||||
\(709\) | −30.1977 | + | 28.0194i | −1.13410 | + | 1.05229i | −0.135997 | + | 0.990709i | \(0.543424\pi\) |
−0.998102 | + | 0.0615808i | \(0.980386\pi\) | |||||||
\(710\) | −0.376063 | + | 0.0566824i | −0.0141134 | + | 0.00212725i | ||||
\(711\) | 10.4200 | − | 1.57056i | 0.390780 | − | 0.0589006i | ||||
\(712\) | −6.24171 | + | 5.79146i | −0.233918 | + | 0.217044i | ||||
\(713\) | 4.63444 | + | 20.3048i | 0.173561 | + | 0.760421i | ||||
\(714\) | −3.05885 | + | 6.54524i | −0.114475 | + | 0.244949i | ||||
\(715\) | −0.840210 | + | 3.68120i | −0.0314221 | + | 0.137669i | ||||
\(716\) | 20.8772 | + | 36.1604i | 0.780219 | + | 1.35138i | ||||
\(717\) | −11.6987 | + | 20.2628i | −0.436897 | + | 0.756727i | ||||
\(718\) | −2.83270 | − | 2.62837i | −0.105716 | − | 0.0980897i | ||||
\(719\) | −21.5481 | − | 14.6912i | −0.803607 | − | 0.547890i | 0.0904196 | − | 0.995904i | \(-0.471179\pi\) |
−0.894027 | + | 0.448014i | \(0.852132\pi\) | |||||||
\(720\) | 1.02729 | + | 1.28818i | 0.0382848 | + | 0.0480076i | ||||
\(721\) | 37.1467 | + | 2.35008i | 1.38341 | + | 0.0875216i | ||||
\(722\) | −2.70421 | + | 3.39097i | −0.100640 | + | 0.126199i | ||||
\(723\) | 21.6975 | − | 6.69280i | 0.806939 | − | 0.248908i | ||||
\(724\) | 1.96225 | + | 4.99973i | 0.0729264 | + | 0.185813i | ||||
\(725\) | −0.257332 | + | 3.43385i | −0.00955706 | + | 0.127530i | ||||
\(726\) | −0.808392 | + | 2.05975i | −0.0300023 | + | 0.0764445i | ||||
\(727\) | −17.6548 | − | 8.50211i | −0.654781 | − | 0.315326i | 0.0768342 | − | 0.997044i | \(-0.475519\pi\) |
−0.731615 | + | 0.681718i | \(0.761233\pi\) | |||||||
\(728\) | −2.54584 | − | 7.92527i | −0.0943549 | − | 0.293730i | ||||
\(729\) | −12.0730 | + | 5.81404i | −0.447147 | + | 0.215335i | ||||
\(730\) | 0.0192605 | + | 0.257013i | 0.000712862 | + | 0.00951248i | ||||
\(731\) | −23.8403 | − | 7.35377i | −0.881766 | − | 0.271989i | ||||
\(732\) | 2.73469 | − | 1.86448i | 0.101077 | − | 0.0689131i | ||||
\(733\) | 29.6540 | + | 4.46962i | 1.09530 | + | 0.165089i | 0.671745 | − | 0.740783i | \(-0.265545\pi\) |
0.423552 | + | 0.905872i | \(0.360783\pi\) | |||||||
\(734\) | −5.07874 | −0.187460 | ||||||||
\(735\) | −2.51663 | − | 5.99853i | −0.0928272 | − | 0.221259i | ||||
\(736\) | −25.7699 | −0.949893 | ||||||||
\(737\) | −3.53598 | − | 0.532963i | −0.130250 | − | 0.0196320i | ||||
\(738\) | 1.73706 | − | 1.18431i | 0.0639422 | − | 0.0435951i | ||||
\(739\) | 21.8874 | + | 6.75138i | 0.805142 | + | 0.248353i | 0.669893 | − | 0.742458i | \(-0.266340\pi\) |
0.135250 | + | 0.990812i | \(0.456816\pi\) | |||||||
\(740\) | 0.488601 | + | 6.51993i | 0.0179613 | + | 0.239677i | ||||
\(741\) | 7.85576 | − | 3.78314i | 0.288589 | − | 0.138977i | ||||
\(742\) | 0.193444 | − | 0.290936i | 0.00710154 | − | 0.0106806i | ||||
\(743\) | −17.3846 | − | 8.37199i | −0.637780 | − | 0.307138i | 0.0869077 | − | 0.996216i | \(-0.472301\pi\) |
−0.724687 | + | 0.689078i | \(0.758016\pi\) | |||||||
\(744\) | −1.71887 | + | 4.37961i | −0.0630169 | + | 0.160564i | ||||
\(745\) | −0.0380784 | + | 0.508121i | −0.00139509 | + | 0.0186161i | ||||
\(746\) | 1.72004 | + | 4.38260i | 0.0629753 | + | 0.160458i | ||||
\(747\) | −1.36121 | + | 0.419878i | −0.0498041 | + | 0.0153625i | ||||
\(748\) | 16.7474 | − | 21.0006i | 0.612345 | − | 0.767857i | ||||
\(749\) | 30.4172 | + | 17.0932i | 1.11142 | + | 0.624574i | ||||
\(750\) | −1.44028 | − | 1.80605i | −0.0525915 | − | 0.0659476i | ||||
\(751\) | −22.6255 | − | 15.4258i | −0.825616 | − | 0.562895i | 0.0751641 | − | 0.997171i | \(-0.476052\pi\) |
−0.900780 | + | 0.434276i | \(0.857004\pi\) | |||||||
\(752\) | 27.8754 | + | 25.8646i | 1.01651 | + | 0.943185i | ||||
\(753\) | 3.70390 | − | 6.41535i | 0.134978 | − | 0.233788i | ||||
\(754\) | 0.287789 | + | 0.498465i | 0.0104807 | + | 0.0181530i | ||||
\(755\) | −0.0217077 | + | 0.0951078i | −0.000790025 | + | 0.00346133i | ||||
\(756\) | 20.1876 | + | 4.36154i | 0.734214 | + | 0.158628i | ||||
\(757\) | 3.78057 | + | 16.5638i | 0.137407 | + | 0.602021i | 0.995999 | + | 0.0893611i | \(0.0284825\pi\) |
−0.858592 | + | 0.512659i | \(0.828660\pi\) | |||||||
\(758\) | −1.98502 | + | 1.84183i | −0.0720992 | + | 0.0668983i | ||||
\(759\) | −44.8438 | + | 6.75911i | −1.62773 | + | 0.245340i | ||||
\(760\) | 0.640192 | − | 0.0964934i | 0.0232222 | − | 0.00350018i | ||||
\(761\) | −15.6208 | + | 14.4939i | −0.566252 | + | 0.525405i | −0.910519 | − | 0.413467i | \(-0.864318\pi\) |
0.344267 | + | 0.938872i | \(0.388127\pi\) | |||||||
\(762\) | −0.916446 | − | 4.01521i | −0.0331994 | − | 0.145456i | ||||
\(763\) | −31.3348 | + | 7.53605i | −1.13440 | + | 0.272823i | ||||
\(764\) | −5.19926 | + | 22.7794i | −0.188103 | + | 0.824131i | ||||
\(765\) | −1.22736 | − | 2.12585i | −0.0443752 | − | 0.0768601i | ||||
\(766\) | −2.31258 | + | 4.00550i | −0.0835569 | + | 0.144725i | ||||
\(767\) | −27.5910 | − | 25.6007i | −0.996251 | − | 0.924386i | ||||
\(768\) | 18.2603 | + | 12.4497i | 0.658913 | + | 0.449240i | ||||
\(769\) | −24.0195 | − | 30.1195i | −0.866167 | − | 1.08614i | −0.995521 | − | 0.0945402i | \(-0.969862\pi\) |
0.129354 | − | 0.991598i | \(-0.458710\pi\) | |||||||
\(770\) | −0.129507 | − | 0.796329i | −0.00466711 | − | 0.0286977i | ||||
\(771\) | −1.01562 | + | 1.27355i | −0.0365767 | + | 0.0458658i | ||||
\(772\) | 3.64483 | − | 1.12428i | 0.131180 | − | 0.0404637i | ||||
\(773\) | −4.77022 | − | 12.1543i | −0.171573 | − | 0.437161i | 0.819061 | − | 0.573707i | \(-0.194495\pi\) |
−0.990634 | + | 0.136546i | \(0.956400\pi\) | |||||||
\(774\) | −0.0859573 | + | 1.14702i | −0.00308967 | + | 0.0412288i | ||||
\(775\) | −4.12220 | + | 10.5032i | −0.148074 | + | 0.377286i | ||||
\(776\) | 9.15437 | + | 4.40851i | 0.328623 | + | 0.158256i | ||||
\(777\) | −26.3453 | − | 27.7399i | −0.945131 | − | 0.995164i | ||||
\(778\) | 5.60984 | − | 2.70156i | 0.201122 | − | 0.0968555i | ||||
\(779\) | 0.878756 | + | 11.7262i | 0.0314847 | + | 0.420134i | ||||
\(780\) | 5.40750 | + | 1.66799i | 0.193620 | + | 0.0597238i | ||||
\(781\) | −6.83579 | + | 4.66057i | −0.244604 | + | 0.166768i | ||||
\(782\) | 11.9527 | + | 1.80157i | 0.427426 | + | 0.0644242i | ||||
\(783\) | −2.90382 | −0.103774 | ||||||||
\(784\) | −16.2409 | − | 19.4219i | −0.580031 | − | 0.693638i | ||||
\(785\) | 7.84123 | 0.279865 | ||||||||
\(786\) | 3.63361 | + | 0.547679i | 0.129607 | + | 0.0195351i | ||||
\(787\) | −22.9432 | + | 15.6424i | −0.817838 | + | 0.557593i | −0.898411 | − | 0.439156i | \(-0.855278\pi\) |
0.0805725 | + | 0.996749i | \(0.474325\pi\) | |||||||
\(788\) | 29.2864 | + | 9.03365i | 1.04328 | + | 0.321811i | ||||
\(789\) | 2.40130 | + | 32.0431i | 0.0854885 | + | 1.14077i | ||||
\(790\) | 1.14970 | − | 0.553667i | 0.0409045 | − | 0.0196986i | ||||
\(791\) | −12.6399 | + | 7.49479i | −0.449423 | + | 0.266484i | ||||
\(792\) | −2.26872 | − | 1.09256i | −0.0806153 | − | 0.0388223i | ||||
\(793\) | 0.985615 | − | 2.51131i | 0.0350002 | − | 0.0891791i | ||||
\(794\) | 0.287043 | − | 3.83033i | 0.0101868 | − | 0.135933i | ||||
\(795\) | 0.176441 | + | 0.449565i | 0.00625773 | + | 0.0159444i | ||||
\(796\) | 2.08378 | − | 0.642761i | 0.0738576 | − | 0.0227820i | ||||
\(797\) | −5.26584 | + | 6.60315i | −0.186526 | + | 0.233896i | −0.866298 | − | 0.499527i | \(-0.833507\pi\) |
0.679773 | + | 0.733423i | \(0.262078\pi\) | |||||||
\(798\) | −1.25124 | + | 1.38034i | −0.0442933 | + | 0.0488634i | ||||
\(799\) | −35.3227 | − | 44.2933i | −1.24963 | − | 1.56698i | ||||
\(800\) | −11.5352 | − | 7.86454i | −0.407830 | − | 0.278053i | ||||
\(801\) | 6.10264 | + | 5.66243i | 0.215626 | + | 0.200072i | ||||
\(802\) | 2.96140 | − | 5.12929i | 0.104571 | − | 0.181122i | ||||
\(803\) | 2.80341 | + | 4.85564i | 0.0989301 | + | 0.171352i | ||||
\(804\) | −1.19255 | + | 5.22488i | −0.0420578 | + | 0.184267i | ||||
\(805\) | −8.42973 | + | 6.88422i | −0.297109 | + | 0.242637i | ||||
\(806\) | 0.419670 | + | 1.83870i | 0.0147823 | + | 0.0647653i | ||||
\(807\) | −13.6548 | + | 12.6698i | −0.480671 | + | 0.445998i | ||||
\(808\) | −12.9883 | + | 1.95767i | −0.456926 | + | 0.0688706i | ||||
\(809\) | 16.9869 | − | 2.56037i | 0.597229 | − | 0.0900178i | 0.156531 | − | 0.987673i | \(-0.449969\pi\) |
0.440698 | + | 0.897655i | \(0.354731\pi\) | |||||||
\(810\) | 0.952708 | − | 0.883984i | 0.0334747 | − | 0.0310600i | ||||
\(811\) | −2.51908 | − | 11.0368i | −0.0884568 | − | 0.387555i | 0.911248 | − | 0.411858i | \(-0.135120\pi\) |
−0.999705 | + | 0.0243039i | \(0.992263\pi\) | |||||||
\(812\) | 2.90887 | + | 2.26496i | 0.102081 | + | 0.0794845i | ||||
\(813\) | 4.67721 | − | 20.4922i | 0.164037 | − | 0.718692i | ||||
\(814\) | −2.37240 | − | 4.10911i | −0.0831525 | − | 0.144024i | ||||
\(815\) | 2.74399 | − | 4.75273i | 0.0961178 | − | 0.166481i | ||||
\(816\) | −28.4927 | − | 26.4373i | −0.997444 | − | 0.925492i | ||||
\(817\) | −5.31564 | − | 3.62414i | −0.185971 | − | 0.126793i | ||||
\(818\) | 5.31501 | + | 6.66481i | 0.185835 | + | 0.233030i | ||||
\(819\) | −7.54101 | + | 3.06121i | −0.263504 | + | 0.106967i | ||||
\(820\) | −4.75835 | + | 5.96679i | −0.166169 | + | 0.208369i | ||||
\(821\) | −41.3718 | + | 12.7615i | −1.44389 | + | 0.445380i | −0.915049 | − | 0.403343i | \(-0.867848\pi\) |
−0.528837 | + | 0.848723i | \(0.677372\pi\) | |||||||
\(822\) | 2.78968 | + | 7.10799i | 0.0973013 | + | 0.247920i | ||||
\(823\) | −1.73660 | + | 23.1733i | −0.0605340 | + | 0.807771i | 0.881485 | + | 0.472212i | \(0.156544\pi\) |
−0.942019 | + | 0.335559i | \(0.891075\pi\) | |||||||
\(824\) | 5.13956 | − | 13.0954i | 0.179045 | − | 0.456199i | ||||
\(825\) | −22.1358 | − | 10.6600i | −0.770668 | − | 0.371134i | ||||
\(826\) | 7.51993 | + | 2.85097i | 0.261652 | + | 0.0991980i | ||||
\(827\) | 7.08100 | − | 3.41003i | 0.246230 | − | 0.118578i | −0.306699 | − | 0.951807i | \(-0.599224\pi\) |
0.552929 | + | 0.833228i | \(0.313510\pi\) | |||||||
\(828\) | 1.24843 | + | 16.6591i | 0.0433859 | + | 0.578944i | ||||
\(829\) | 48.3146 | + | 14.9031i | 1.67804 | + | 0.517605i | 0.980091 | − | 0.198547i | \(-0.0636221\pi\) |
0.697944 | + | 0.716152i | \(0.254098\pi\) | |||||||
\(830\) | −0.142527 | + | 0.0971734i | −0.00494719 | + | 0.00337294i | ||||
\(831\) | 3.61653 | + | 0.545104i | 0.125456 | + | 0.0189095i | ||||
\(832\) | 20.4254 | 0.708124 | ||||||||
\(833\) | 19.6134 | + | 32.2185i | 0.679563 | + | 1.11630i | ||||
\(834\) | 4.13068 | 0.143034 | ||||||||
\(835\) | 0.0986390 | + | 0.0148674i | 0.00341354 | + | 0.000514509i | ||||
\(836\) | 5.72301 | − | 3.90188i | 0.197934 | − | 0.134949i | ||||
\(837\) | −9.09215 | − | 2.80456i | −0.314271 | − | 0.0969397i | ||||
\(838\) | −0.363204 | − | 4.84662i | −0.0125467 | − | 0.167424i | ||||
\(839\) | 27.7575 | − | 13.3673i | 0.958296 | − | 0.461491i | 0.111709 | − | 0.993741i | \(-0.464368\pi\) |
0.846587 | + | 0.532250i | \(0.178653\pi\) | |||||||
\(840\) | −2.44944 | + | 0.212207i | −0.0845138 | + | 0.00732183i | ||||
\(841\) | 25.6611 | + | 12.3577i | 0.884865 | + | 0.426129i | ||||
\(842\) | −0.457354 | + | 1.16532i | −0.0157614 | + | 0.0401595i | ||||
\(843\) | 0.963702 | − | 12.8597i | 0.0331917 | − | 0.442912i | ||||
\(844\) | −9.37396 | − | 23.8845i | −0.322665 | − | 0.822137i | ||||
\(845\) | −1.38060 | + | 0.425860i | −0.0474942 | + | 0.0146500i | ||||
\(846\) | −1.62852 | + | 2.04210i | −0.0559896 | + | 0.0702088i | ||||
\(847\) | 6.61799 | + | 9.46854i | 0.227397 | + | 0.325343i | ||||
\(848\) | 1.17193 | + | 1.46955i | 0.0402441 | + | 0.0504645i | ||||
\(849\) | 23.4582 | + | 15.9936i | 0.805085 | + | 0.548898i | ||||
\(850\) | 4.80045 | + | 4.45417i | 0.164654 | + | 0.152777i | ||||
\(851\) | −32.0036 | + | 55.4319i | −1.09707 | + | 1.90018i | ||||
\(852\) | 6.19968 | + | 10.7382i | 0.212398 | + | 0.367883i | ||||
\(853\) | 6.16659 | − | 27.0176i | 0.211140 | − | 0.925064i | −0.752654 | − | 0.658416i | \(-0.771227\pi\) |
0.963794 | − | 0.266648i | \(-0.0859161\pi\) | |||||||
\(854\) | 0.00669755 | + | 0.576399i | 0.000229186 | + | 0.0197240i | ||||
\(855\) | −0.140855 | − | 0.617128i | −0.00481715 | − | 0.0211053i | ||||
\(856\) | 9.66692 | − | 8.96959i | 0.330409 | − | 0.306574i | ||||
\(857\) | 49.4309 | − | 7.45051i | 1.68853 | − | 0.254505i | 0.766672 | − | 0.642039i | \(-0.221911\pi\) |
0.921855 | + | 0.387534i | \(0.126673\pi\) | |||||||
\(858\) | −4.06082 | + | 0.612070i | −0.138634 | + | 0.0208957i | ||||
\(859\) | 40.9265 | − | 37.9742i | 1.39639 | − | 1.29566i | 0.490956 | − | 0.871184i | \(-0.336648\pi\) |
0.905437 | − | 0.424480i | \(-0.139543\pi\) | |||||||
\(860\) | −0.929127 | − | 4.07077i | −0.0316830 | − | 0.138812i | ||||
\(861\) | −0.518847 | − | 44.6526i | −0.0176823 | − | 1.52176i | ||||
\(862\) | 1.71816 | − | 7.52777i | 0.0585209 | − | 0.256397i | ||||
\(863\) | 4.90861 | + | 8.50196i | 0.167091 | + | 0.289410i | 0.937396 | − | 0.348266i | \(-0.113229\pi\) |
−0.770305 | + | 0.637676i | \(0.779896\pi\) | |||||||
\(864\) | 5.88654 | − | 10.1958i | 0.200264 | − | 0.346868i | ||||
\(865\) | −4.91394 | − | 4.55947i | −0.167079 | − | 0.155027i | ||||
\(866\) | −5.67799 | − | 3.87119i | −0.192946 | − | 0.131548i | ||||
\(867\) | 14.9654 | + | 18.7661i | 0.508253 | + | 0.637329i | ||||
\(868\) | 6.92043 | + | 9.90125i | 0.234895 | + | 0.336070i | ||||
\(869\) | 17.3081 | − | 21.7037i | 0.587137 | − | 0.736247i | ||||
\(870\) | 0.162450 | − | 0.0501092i | 0.00550758 | − | 0.00169886i | ||||
\(871\) | 1.59591 | + | 4.06632i | 0.0540754 | + | 0.137782i | ||||
\(872\) | −0.910275 | + | 12.1468i | −0.0308258 | + | 0.411342i | ||||
\(873\) | 3.62937 | − | 9.24748i | 0.122836 | − | 0.312980i | ||||
\(874\) | 2.80837 | + | 1.35244i | 0.0949944 | + | 0.0457469i | ||||
\(875\) | −12.0152 | + | 1.04093i | −0.406187 | + | 0.0351899i | ||||
\(876\) | 7.57080 | − | 3.64591i | 0.255794 | − | 0.123184i | ||||
\(877\) | −0.749469 | − | 10.0010i | −0.0253078 | − | 0.337709i | −0.995458 | − | 0.0952033i | \(-0.969650\pi\) |
0.970150 | − | 0.242505i | \(-0.0779692\pi\) | |||||||
\(878\) | 6.88017 | + | 2.12225i | 0.232194 | + | 0.0716225i | ||||
\(879\) | 22.8527 | − | 15.5807i | 0.770804 | − | 0.525525i | ||||
\(880\) | 4.29201 | + | 0.646916i | 0.144684 | + | 0.0218075i | ||||
\(881\) | −9.32967 | −0.314325 | −0.157162 | − | 0.987573i | \(-0.550235\pi\) | ||||
−0.157162 | + | 0.987573i | \(0.550235\pi\) | |||||||
\(882\) | 1.24694 | − | 1.21212i | 0.0419867 | − | 0.0408141i | ||||
\(883\) | 24.8689 | 0.836904 | 0.418452 | − | 0.908239i | \(-0.362573\pi\) | ||||
0.418452 | + | 0.908239i | \(0.362573\pi\) | |||||||
\(884\) | −32.4461 | − | 4.89046i | −1.09128 | − | 0.164484i | ||||
\(885\) | −9.18522 | + | 6.26238i | −0.308758 | + | 0.210508i | ||||
\(886\) | −4.20436 | − | 1.29687i | −0.141248 | − | 0.0435694i | ||||
\(887\) | 0.841239 | + | 11.2256i | 0.0282460 | + | 0.376917i | 0.993357 | + | 0.115075i | \(0.0367109\pi\) |
−0.965111 | + | 0.261842i | \(0.915670\pi\) | |||||||
\(888\) | −13.0274 | + | 6.27366i | −0.437170 | + | 0.210530i | ||||
\(889\) | −20.1053 | − | 7.62238i | −0.674311 | − | 0.255646i | ||||
\(890\) | 0.908288 | + | 0.437408i | 0.0304459 | + | 0.0146620i | ||||
\(891\) | 10.3292 | − | 26.3185i | 0.346043 | − | 0.881702i | ||||
\(892\) | 3.03757 | − | 40.5336i | 0.101705 | − | 1.35716i | ||||
\(893\) | −5.33733 | − | 13.5993i | −0.178607 | − | 0.455083i | ||||
\(894\) | −0.529568 | + | 0.163350i | −0.0177114 | + | 0.00546324i | ||||
\(895\) | 6.26746 | − | 7.85914i | 0.209498 | − | 0.262702i | ||||
\(896\) | −18.3552 | + | 7.45116i | −0.613206 | + | 0.248926i | ||||
\(897\) | 34.5408 | + | 43.3128i | 1.15328 | + | 1.44617i | ||||
\(898\) | −2.97021 | − | 2.02505i | −0.0991170 | − | 0.0675769i | ||||
\(899\) | −1.24504 | − | 1.15522i | −0.0415243 | − | 0.0385289i | ||||
\(900\) | −4.52525 | + | 7.83796i | −0.150842 | + | 0.261265i | ||||
\(901\) | −1.40017 | − | 2.42516i | −0.0466463 | − | 0.0807937i | ||||
\(902\) | 1.23241 | − | 5.39956i | 0.0410349 | − | 0.179786i | ||||
\(903\) | 19.2771 | + | 15.0099i | 0.641503 | + | 0.499499i | ||||
\(904\) | 1.23588 | + | 5.41474i | 0.0411047 | + | 0.180092i | ||||
\(905\) | 0.947870 | − | 0.879495i | 0.0315083 | − | 0.0292354i | ||||
\(906\) | −0.104916 | + | 0.0158135i | −0.00348559 | + | 0.000525368i | ||||
\(907\) | −8.27810 | + | 1.24772i | −0.274870 | + | 0.0414299i | −0.285031 | − | 0.958518i | \(-0.592004\pi\) |
0.0101609 | + | 0.999948i | \(0.496766\pi\) | |||||||
\(908\) | −26.9759 | + | 25.0299i | −0.895225 | + | 0.830648i | ||||
\(909\) | 2.85769 | + | 12.5204i | 0.0947836 | + | 0.415274i | ||||
\(910\) | −0.763351 | + | 0.623399i | −0.0253049 | + | 0.0206655i | ||||
\(911\) | 1.27518 | − | 5.58691i | 0.0422485 | − | 0.185103i | −0.949401 | − | 0.314067i | \(-0.898308\pi\) |
0.991649 | + | 0.128965i | \(0.0411654\pi\) | |||||||
\(912\) | −5.01153 | − | 8.68022i | −0.165948 | − | 0.287431i | ||||
\(913\) | −1.87632 | + | 3.24988i | −0.0620972 | + | 0.107555i | ||||
\(914\) | −6.07641 | − | 5.63808i | −0.200990 | − | 0.186491i | ||||
\(915\) | −0.658365 | − | 0.448865i | −0.0217649 | − | 0.0148390i | ||||
\(916\) | 9.91298 | + | 12.4305i | 0.327534 | + | 0.410715i | ||||
\(917\) | 12.8846 | − | 14.2140i | 0.425487 | − | 0.469388i | ||||
\(918\) | −3.44309 | + | 4.31750i | −0.113639 | + | 0.142499i | ||||
\(919\) | 19.2287 | − | 5.93127i | 0.634296 | − | 0.195655i | 0.0391006 | − | 0.999235i | \(-0.487551\pi\) |
0.595196 | + | 0.803581i | \(0.297075\pi\) | |||||||
\(920\) | 1.50283 | + | 3.82916i | 0.0495470 | + | 0.126244i | ||||
\(921\) | 2.91134 | − | 38.8491i | 0.0959318 | − | 1.28012i | ||||
\(922\) | 2.97878 | − | 7.58981i | 0.0981009 | − | 0.249957i | ||||
\(923\) | 9.10575 | + | 4.38510i | 0.299719 | + | 0.144337i | ||||
\(924\) | −22.6256 | + | 13.4158i | −0.744327 | + | 0.441347i | ||||
\(925\) | −31.2423 | + | 15.0455i | −1.02724 | + | 0.494693i | ||||
\(926\) | −0.196578 | − | 2.62315i | −0.00645996 | − | 0.0862021i | ||||
\(927\) | −13.1433 | − | 4.05418i | −0.431683 | − | 0.133157i | ||||
\(928\) | 1.73636 | − | 1.18383i | 0.0569988 | − | 0.0388612i | ||||
\(929\) | 12.5330 | + | 1.88904i | 0.411193 | + | 0.0619774i | 0.351382 | − | 0.936232i | \(-0.385712\pi\) |
0.0598116 | + | 0.998210i | \(0.480950\pi\) | |||||||
\(930\) | 0.557044 | 0.0182662 | ||||||||
\(931\) | 2.38412 | + | 9.42986i | 0.0781365 | + | 0.309051i | ||||
\(932\) | −16.3565 | −0.535777 | ||||||||
\(933\) | −18.3865 | − | 2.77132i | −0.601947 | − | 0.0907289i | ||||
\(934\) | 6.23105 | − | 4.24826i | 0.203886 | − | 0.139007i | ||||
\(935\) | −6.17931 | − | 1.90607i | −0.202085 | − | 0.0623350i | ||||
\(936\) | 0.229873 | + | 3.06745i | 0.00751365 | + | 0.100263i | ||||
\(937\) | −47.9701 | + | 23.1012i | −1.56712 | + | 0.754683i | −0.997727 | − | 0.0673852i | \(-0.978534\pi\) |
−0.569389 | + | 0.822068i | \(0.692820\pi\) | |||||||
\(938\) | −0.642761 | − | 0.676787i | −0.0209869 | − | 0.0220979i | ||||
\(939\) | −6.19156 | − | 2.98170i | −0.202054 | − | 0.0973040i | ||||
\(940\) | 3.46401 | − | 8.82615i | 0.112983 | − | 0.287877i | ||||
\(941\) | 1.37957 | − | 18.4090i | 0.0449725 | − | 0.600117i | −0.928503 | − | 0.371325i | \(-0.878903\pi\) |
0.973475 | − | 0.228792i | \(-0.0734775\pi\) | |||||||
\(942\) | 3.11571 | + | 7.93869i | 0.101515 | + | 0.258657i | ||||
\(943\) | −71.3939 | + | 22.0221i | −2.32490 | + | 0.717138i | ||||
\(944\) | −26.9763 | + | 33.8272i | −0.878004 | + | 1.10098i | ||||
\(945\) | −0.798145 | − | 4.90773i | −0.0259637 | − | 0.159648i | ||||
\(946\) | 1.88926 | + | 2.36906i | 0.0614252 | + | 0.0770247i | ||||
\(947\) | 19.1735 | + | 13.0723i | 0.623055 | + | 0.424792i | 0.833272 | − | 0.552863i | \(-0.186465\pi\) |
−0.210217 | + | 0.977655i | \(0.567417\pi\) | |||||||
\(948\) | −30.4980 | − | 28.2980i | −0.990528 | − | 0.919076i | ||||
\(949\) | 3.42459 | − | 5.93157i | 0.111167 | − | 0.192547i | ||||
\(950\) | 0.844342 | + | 1.46244i | 0.0273941 | + | 0.0474479i | ||||
\(951\) | −2.17139 | + | 9.51347i | −0.0704120 | + | 0.308495i | ||||
\(952\) | 13.8608 | − | 3.33354i | 0.449231 | − | 0.108041i | ||||
\(953\) | 7.82231 | + | 34.2718i | 0.253389 | + | 1.11017i | 0.928171 | + | 0.372154i | \(0.121381\pi\) |
−0.674782 | + | 0.738017i | \(0.735762\pi\) | |||||||
\(954\) | −0.0946417 | + | 0.0878147i | −0.00306414 | + | 0.00284311i | ||||
\(955\) | 5.56226 | − | 0.838376i | 0.179991 | − | 0.0271292i | ||||
\(956\) | 22.4519 | − | 3.38408i | 0.726147 | − | 0.109449i | ||||
\(957\) | 2.71104 | − | 2.51548i | 0.0876355 | − | 0.0813138i | ||||
\(958\) | 2.09368 | + | 9.17303i | 0.0676439 | + | 0.296367i | ||||
\(959\) | 38.9661 | + | 8.41865i | 1.25828 | + | 0.271853i | ||||
\(960\) | 1.34244 | − | 5.88161i | 0.0433270 | − | 0.189828i | ||||
\(961\) | 12.7174 | + | 22.0272i | 0.410239 | + | 0.710554i | ||||
\(962\) | −2.89808 | + | 5.01962i | −0.0934378 | + | 0.161839i | ||||
\(963\) | −9.45154 | − | 8.76974i | −0.304571 | − | 0.282601i | ||||
\(964\) | −18.2060 | − | 12.4126i | −0.586376 | − | 0.399784i | ||||
\(965\) | −0.572534 | − | 0.717935i | −0.0184305 | − | 0.0231111i | ||||
\(966\) | −10.3193 | − | 5.79906i | −0.332019 | − | 0.186582i | ||||
\(967\) | 19.9485 | − | 25.0147i | 0.641502 | − | 0.804417i | −0.349688 | − | 0.936866i | \(-0.613713\pi\) |
0.991190 | + | 0.132449i | \(0.0422839\pi\) | |||||||
\(968\) | 4.17220 | − | 1.28695i | 0.134099 | − | 0.0413642i | ||||
\(969\) | 5.45552 | + | 13.9005i | 0.175257 | + | 0.446547i | ||||
\(970\) | 0.0898998 | − | 1.19963i | 0.00288651 | − | 0.0385178i | ||||
\(971\) | 0.482563 | − | 1.22955i | 0.0154862 | − | 0.0394582i | −0.922922 | − | 0.384988i | \(-0.874206\pi\) |
0.938408 | + | 0.345530i | \(0.112301\pi\) | |||||||
\(972\) | −17.0770 | − | 8.22383i | −0.547744 | − | 0.263779i | ||||
\(973\) | 11.9404 | − | 17.9582i | 0.382792 | − | 0.575712i | ||||
\(974\) | 1.58828 | − | 0.764873i | 0.0508916 | − | 0.0245081i | ||||
\(975\) | 2.24286 | + | 29.9289i | 0.0718291 | + | 0.958493i | ||||
\(976\) | −2.96342 | − | 0.914095i | −0.0948569 | − | 0.0292595i | ||||
\(977\) | −8.16187 | + | 5.56467i | −0.261121 | + | 0.178029i | −0.686803 | − | 0.726843i | \(-0.740987\pi\) |
0.425682 | + | 0.904873i | \(0.360034\pi\) | |||||||
\(978\) | 5.90213 | + | 0.889603i | 0.188729 | + | 0.0284464i | ||||
\(979\) | 21.9310 | 0.700918 | ||||||||
\(980\) | −3.02846 | + | 5.53881i | −0.0967406 | + | 0.176931i | ||||
\(981\) | 11.9094 | 0.380239 | ||||||||
\(982\) | −8.28506 | − | 1.24877i | −0.264387 | − | 0.0398499i | ||||
\(983\) | 2.92646 | − | 1.99523i | 0.0933396 | − | 0.0636378i | −0.515751 | − | 0.856739i | \(-0.672487\pi\) |
0.609090 | + | 0.793101i | \(0.291535\pi\) | |||||||
\(984\) | −16.1280 | − | 4.97482i | −0.514141 | − | 0.158591i | ||||
\(985\) | −0.551387 | − | 7.35775i | −0.0175686 | − | 0.234437i | ||||
\(986\) | −0.888124 | + | 0.427698i | −0.0282836 | + | 0.0136207i | ||||
\(987\) | 16.9676 | + | 52.8207i | 0.540084 | + | 1.68130i | ||||
\(988\) | −7.62345 | − | 3.67126i | −0.242534 | − | 0.116798i | ||||
\(989\) | 14.9339 | − | 38.0509i | 0.474870 | − | 1.20995i | ||||
\(990\) | −0.0222798 | + | 0.297303i | −0.000708098 | + | 0.00944891i | ||||
\(991\) | −6.98732 | − | 17.8034i | −0.221960 | − | 0.565544i | 0.775906 | − | 0.630849i | \(-0.217293\pi\) |
−0.997865 | + | 0.0653050i | \(0.979198\pi\) | |||||||
\(992\) | 6.58009 | − | 2.02969i | 0.208918 | − | 0.0644426i | ||||
\(993\) | −23.6255 | + | 29.6255i | −0.749733 | + | 0.940135i | ||||
\(994\) | −2.15518 | − | 0.136347i | −0.0683580 | − | 0.00432466i | ||||
\(995\) | −0.327323 | − | 0.410450i | −0.0103768 | − | 0.0130121i | ||||
\(996\) | 4.64685 | + | 3.16817i | 0.147241 | + | 0.100387i | ||||
\(997\) | −19.4944 | − | 18.0881i | −0.617393 | − | 0.572857i | 0.308227 | − | 0.951313i | \(-0.400265\pi\) |
−0.925619 | + | 0.378456i | \(0.876455\pi\) | |||||||
\(998\) | −1.03367 | + | 1.79037i | −0.0327203 | + | 0.0566731i | ||||
\(999\) | −14.6209 | − | 25.3242i | −0.462586 | − | 0.801223i |
(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 | 49.2.g.a.39.3 | ✓ | 48 | |
3.2 | odd | 2 | 441.2.bb.d.235.2 | 48 | |||
4.3 | odd | 2 | 784.2.bg.c.529.1 | 48 | |||
7.2 | even | 3 | 343.2.g.i.226.2 | 48 | |||
7.3 | odd | 6 | 343.2.e.c.295.5 | 48 | |||
7.4 | even | 3 | 343.2.e.d.295.5 | 48 | |||
7.5 | odd | 6 | 343.2.g.h.226.2 | 48 | |||
7.6 | odd | 2 | 343.2.g.g.165.3 | 48 | |||
49.3 | odd | 42 | 343.2.e.c.50.5 | 48 | |||
49.5 | odd | 42 | 343.2.g.g.79.3 | 48 | |||
49.8 | even | 7 | 343.2.g.i.214.2 | 48 | |||
49.17 | odd | 42 | 2401.2.a.i.1.14 | 24 | |||
49.32 | even | 21 | 2401.2.a.h.1.14 | 24 | |||
49.41 | odd | 14 | 343.2.g.h.214.2 | 48 | |||
49.44 | even | 21 | inner | 49.2.g.a.44.3 | yes | 48 | |
49.46 | even | 21 | 343.2.e.d.50.5 | 48 | |||
147.44 | odd | 42 | 441.2.bb.d.289.2 | 48 | |||
196.191 | odd | 42 | 784.2.bg.c.289.1 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.2.g.a.39.3 | ✓ | 48 | 1.1 | even | 1 | trivial | |
49.2.g.a.44.3 | yes | 48 | 49.44 | even | 21 | inner | |
343.2.e.c.50.5 | 48 | 49.3 | odd | 42 | |||
343.2.e.c.295.5 | 48 | 7.3 | odd | 6 | |||
343.2.e.d.50.5 | 48 | 49.46 | even | 21 | |||
343.2.e.d.295.5 | 48 | 7.4 | even | 3 | |||
343.2.g.g.79.3 | 48 | 49.5 | odd | 42 | |||
343.2.g.g.165.3 | 48 | 7.6 | odd | 2 | |||
343.2.g.h.214.2 | 48 | 49.41 | odd | 14 | |||
343.2.g.h.226.2 | 48 | 7.5 | odd | 6 | |||
343.2.g.i.214.2 | 48 | 49.8 | even | 7 | |||
343.2.g.i.226.2 | 48 | 7.2 | even | 3 | |||
441.2.bb.d.235.2 | 48 | 3.2 | odd | 2 | |||
441.2.bb.d.289.2 | 48 | 147.44 | odd | 42 | |||
784.2.bg.c.289.1 | 48 | 196.191 | odd | 42 | |||
784.2.bg.c.529.1 | 48 | 4.3 | odd | 2 | |||
2401.2.a.h.1.14 | 24 | 49.32 | even | 21 | |||
2401.2.a.i.1.14 | 24 | 49.17 | odd | 42 |