Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [630,2,Mod(23,630)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(630, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("630.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 630.cd (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.03057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 23.5 | ||
Character | \(\chi\) | \(=\) | 630.23 |
Dual form | 630.2.cd.a.137.5 |
$q$-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 \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(281\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | − | 0.707107i | −0.500000 | − | 0.500000i | ||||
\(3\) | −1.48287 | − | 0.895033i | −0.856138 | − | 0.516748i | ||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | 1.60407 | − | 1.55787i | 0.717363 | − | 0.696700i | ||||
\(6\) | 0.415666 | + | 1.68143i | 0.169695 | + | 0.686443i | ||||
\(7\) | −0.441381 | + | 2.60867i | −0.166826 | + | 0.985986i | ||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | 1.39783 | + | 2.65444i | 0.465944 | + | 0.884814i | ||||
\(10\) | −2.23583 | − | 0.0326704i | −0.707031 | − | 0.0103313i | ||||
\(11\) | −5.45229 | − | 3.14788i | −1.64393 | − | 0.949122i | −0.979418 | − | 0.201842i | \(-0.935307\pi\) |
−0.664510 | − | 0.747280i | \(-0.731360\pi\) | |||||||
\(12\) | 0.895033 | − | 1.48287i | 0.258374 | − | 0.428069i | ||||
\(13\) | 5.72800 | − | 1.53481i | 1.58866 | − | 0.425681i | 0.647069 | − | 0.762432i | \(-0.275995\pi\) |
0.941594 | + | 0.336751i | \(0.109328\pi\) | |||||||
\(14\) | 2.15671 | − | 1.53251i | 0.576406 | − | 0.409580i | ||||
\(15\) | −3.77298 | + | 0.874425i | −0.974179 | + | 0.225776i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 1.12337 | − | 4.19247i | 0.272457 | − | 1.01682i | −0.685070 | − | 0.728477i | \(-0.740228\pi\) |
0.957527 | − | 0.288345i | \(-0.0931050\pi\) | |||||||
\(18\) | 0.888559 | − | 2.86539i | 0.209435 | − | 0.675379i | ||||
\(19\) | −1.36418 | − | 0.787607i | −0.312963 | − | 0.180690i | 0.335288 | − | 0.942116i | \(-0.391166\pi\) |
−0.648252 | + | 0.761426i | \(0.724500\pi\) | |||||||
\(20\) | 1.55787 | + | 1.60407i | 0.348350 | + | 0.358681i | ||||
\(21\) | 2.98936 | − | 3.47329i | 0.652332 | − | 0.757933i | ||||
\(22\) | 1.62946 | + | 6.08124i | 0.347403 | + | 1.29652i | ||||
\(23\) | 1.13445 | + | 0.303976i | 0.236550 | + | 0.0633833i | 0.375146 | − | 0.926966i | \(-0.377592\pi\) |
−0.138597 | + | 0.990349i | \(0.544259\pi\) | |||||||
\(24\) | −1.68143 | + | 0.415666i | −0.343221 | + | 0.0848475i | ||||
\(25\) | 0.146091 | − | 4.99787i | 0.0292182 | − | 0.999573i | ||||
\(26\) | −5.13559 | − | 2.96503i | −1.00717 | − | 0.581491i | ||||
\(27\) | 0.303009 | − | 5.18731i | 0.0583141 | − | 0.998298i | ||||
\(28\) | −2.60867 | − | 0.441381i | −0.492993 | − | 0.0834131i | ||||
\(29\) | −0.461965 | − | 0.800147i | −0.0857848 | − | 0.148584i | 0.819941 | − | 0.572449i | \(-0.194006\pi\) |
−0.905725 | + | 0.423865i | \(0.860673\pi\) | |||||||
\(30\) | 3.28621 | + | 2.04959i | 0.599977 | + | 0.374202i | ||||
\(31\) | −3.20319 | −0.575311 | −0.287655 | − | 0.957734i | \(-0.592876\pi\) | ||||
−0.287655 | + | 0.957734i | \(0.592876\pi\) | |||||||
\(32\) | 0.707107 | + | 0.707107i | 0.125000 | + | 0.125000i | ||||
\(33\) | 5.26760 | + | 9.54789i | 0.916972 | + | 1.66208i | ||||
\(34\) | −3.75886 | + | 2.17018i | −0.644639 | + | 0.372183i | ||||
\(35\) | 3.35597 | + | 4.87211i | 0.567262 | + | 0.823537i | ||||
\(36\) | −2.65444 | + | 1.39783i | −0.442407 | + | 0.232972i | ||||
\(37\) | −0.625472 | − | 2.33429i | −0.102827 | − | 0.383755i | 0.895263 | − | 0.445539i | \(-0.146988\pi\) |
−0.998090 | + | 0.0617835i | \(0.980321\pi\) | |||||||
\(38\) | 0.407696 | + | 1.52154i | 0.0661370 | + | 0.246826i | ||||
\(39\) | −9.86762 | − | 2.85082i | −1.58008 | − | 0.456496i | ||||
\(40\) | 0.0326704 | − | 2.23583i | 0.00516564 | − | 0.353516i | ||||
\(41\) | −5.94493 | − | 3.43231i | −0.928443 | − | 0.536037i | −0.0421240 | − | 0.999112i | \(-0.513412\pi\) |
−0.886319 | + | 0.463076i | \(0.846746\pi\) | |||||||
\(42\) | −4.56978 | + | 0.342185i | −0.705133 | + | 0.0528003i | ||||
\(43\) | −0.485278 | + | 1.81108i | −0.0740042 | + | 0.276187i | −0.993006 | − | 0.118067i | \(-0.962330\pi\) |
0.919001 | + | 0.394254i | \(0.128997\pi\) | |||||||
\(44\) | 3.14788 | − | 5.45229i | 0.474561 | − | 0.821964i | ||||
\(45\) | 6.37749 | + | 2.08028i | 0.950701 | + | 0.310110i | ||||
\(46\) | −0.587236 | − | 1.01712i | −0.0865832 | − | 0.149966i | ||||
\(47\) | −4.13599 | − | 4.13599i | −0.603296 | − | 0.603296i | 0.337889 | − | 0.941186i | \(-0.390287\pi\) |
−0.941186 | + | 0.337889i | \(0.890287\pi\) | |||||||
\(48\) | 1.48287 | + | 0.895033i | 0.214034 | + | 0.129187i | ||||
\(49\) | −6.61037 | − | 2.30284i | −0.944338 | − | 0.328977i | ||||
\(50\) | −3.63733 | + | 3.43072i | −0.514396 | + | 0.485177i | ||||
\(51\) | −5.41821 | + | 5.21145i | −0.758701 | + | 0.729748i | ||||
\(52\) | 1.53481 | + | 5.72800i | 0.212840 | + | 0.794331i | ||||
\(53\) | −5.91945 | − | 1.58611i | −0.813099 | − | 0.217869i | −0.171772 | − | 0.985137i | \(-0.554949\pi\) |
−0.641327 | + | 0.767267i | \(0.721616\pi\) | |||||||
\(54\) | −3.88224 | + | 3.45372i | −0.528306 | + | 0.469992i | ||||
\(55\) | −13.6499 | + | 3.44453i | −1.84055 | + | 0.464460i | ||||
\(56\) | 1.53251 | + | 2.15671i | 0.204790 | + | 0.288203i | ||||
\(57\) | 1.31797 | + | 2.38891i | 0.174569 | + | 0.316418i | ||||
\(58\) | −0.239131 | + | 0.892448i | −0.0313994 | + | 0.117184i | ||||
\(59\) | 8.32434 | 1.08374 | 0.541868 | − | 0.840463i | \(-0.317717\pi\) | ||||
0.541868 | + | 0.840463i | \(0.317717\pi\) | |||||||
\(60\) | −0.874425 | − | 3.77298i | −0.112888 | − | 0.487090i | ||||
\(61\) | −12.3608 | −1.58264 | −0.791322 | − | 0.611400i | \(-0.790607\pi\) | ||||
−0.791322 | + | 0.611400i | \(0.790607\pi\) | |||||||
\(62\) | 2.26500 | + | 2.26500i | 0.287655 | + | 0.287655i | ||||
\(63\) | −7.54155 | + | 2.47487i | −0.950147 | + | 0.311804i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 6.79709 | − | 11.3854i | 0.843075 | − | 1.41219i | ||||
\(66\) | 3.02662 | − | 10.4761i | 0.372552 | − | 1.28952i | ||||
\(67\) | 4.51921 | − | 4.51921i | 0.552109 | − | 0.552109i | −0.374940 | − | 0.927049i | \(-0.622337\pi\) |
0.927049 | + | 0.374940i | \(0.122337\pi\) | |||||||
\(68\) | 4.19247 | + | 1.12337i | 0.508411 | + | 0.136228i | ||||
\(69\) | −1.41018 | − | 1.46613i | −0.169766 | − | 0.176501i | ||||
\(70\) | 1.07208 | − | 5.81813i | 0.128138 | − | 0.695400i | ||||
\(71\) | − | 9.47913i | − | 1.12497i | −0.826809 | − | 0.562483i | \(-0.809846\pi\) | ||
0.826809 | − | 0.562483i | \(-0.190154\pi\) | |||||||
\(72\) | 2.86539 | + | 0.888559i | 0.337689 | + | 0.104718i | ||||
\(73\) | −1.54938 | + | 5.78236i | −0.181341 | + | 0.676774i | 0.814043 | + | 0.580804i | \(0.197262\pi\) |
−0.995384 | + | 0.0959699i | \(0.969405\pi\) | |||||||
\(74\) | −1.20832 | + | 2.09287i | −0.140464 | + | 0.243291i | ||||
\(75\) | −4.68989 | + | 7.28045i | −0.541542 | + | 0.840674i | ||||
\(76\) | 0.787607 | − | 1.36418i | 0.0903448 | − | 0.156482i | ||||
\(77\) | 10.6183 | − | 12.8338i | 1.21007 | − | 1.46255i | ||||
\(78\) | 4.96163 | + | 8.99329i | 0.561794 | + | 1.01829i | ||||
\(79\) | − | 13.3166i | − | 1.49823i | −0.662440 | − | 0.749115i | \(-0.730479\pi\) | ||
0.662440 | − | 0.749115i | \(-0.269521\pi\) | |||||||
\(80\) | −1.60407 | + | 1.55787i | −0.179341 | + | 0.174175i | ||||
\(81\) | −5.09214 | + | 7.42092i | −0.565793 | + | 0.824547i | ||||
\(82\) | 1.77669 | + | 6.63071i | 0.196203 | + | 0.732240i | ||||
\(83\) | 17.4269 | + | 4.66953i | 1.91285 | + | 0.512547i | 0.992636 | + | 0.121137i | \(0.0386539\pi\) |
0.920216 | + | 0.391411i | \(0.128013\pi\) | |||||||
\(84\) | 3.47329 | + | 2.98936i | 0.378967 | + | 0.326166i | ||||
\(85\) | −4.72935 | − | 8.47507i | −0.512970 | − | 0.919251i | ||||
\(86\) | 1.62377 | − | 0.937485i | 0.175096 | − | 0.101092i | ||||
\(87\) | −0.0311222 | + | 1.59999i | −0.00333666 | + | 0.171537i | ||||
\(88\) | −6.08124 | + | 1.62946i | −0.648262 | + | 0.173701i | ||||
\(89\) | −6.67816 | + | 11.5669i | −0.707884 | + | 1.22609i | 0.257757 | + | 0.966210i | \(0.417017\pi\) |
−0.965641 | + | 0.259881i | \(0.916317\pi\) | |||||||
\(90\) | −3.03859 | − | 5.98055i | −0.320295 | − | 0.630405i | ||||
\(91\) | 1.47560 | + | 15.6199i | 0.154685 | + | 1.63741i | ||||
\(92\) | −0.303976 | + | 1.13445i | −0.0316916 | + | 0.118275i | ||||
\(93\) | 4.74993 | + | 2.86697i | 0.492545 | + | 0.297290i | ||||
\(94\) | 5.84918i | 0.603296i | ||||||||
\(95\) | −3.41522 | + | 0.861828i | −0.350395 | + | 0.0884217i | ||||
\(96\) | −0.415666 | − | 1.68143i | −0.0424237 | − | 0.171611i | ||||
\(97\) | −0.0834947 | − | 0.0223723i | −0.00847760 | − | 0.00227157i | 0.254578 | − | 0.967052i | \(-0.418064\pi\) |
−0.263055 | + | 0.964781i | \(0.584730\pi\) | |||||||
\(98\) | 3.04588 | + | 6.30259i | 0.307681 | + | 0.636657i | ||||
\(99\) | 0.734495 | − | 18.8730i | 0.0738195 | − | 1.89681i | ||||
\(100\) | 4.99787 | + | 0.146091i | 0.499787 | + | 0.0146091i | ||||
\(101\) | 9.81937 | + | 5.66922i | 0.977064 | + | 0.564108i | 0.901383 | − | 0.433024i | \(-0.142553\pi\) |
0.0756817 | + | 0.997132i | \(0.475887\pi\) | |||||||
\(102\) | 7.51630 | + | 0.146203i | 0.744225 | + | 0.0144763i | ||||
\(103\) | −1.17223 | + | 4.37483i | −0.115503 | + | 0.431064i | −0.999324 | − | 0.0367614i | \(-0.988296\pi\) |
0.883821 | + | 0.467826i | \(0.154963\pi\) | |||||||
\(104\) | 2.96503 | − | 5.13559i | 0.290745 | − | 0.503586i | ||||
\(105\) | −0.615771 | − | 10.2284i | −0.0600931 | − | 0.998193i | ||||
\(106\) | 3.06413 | + | 5.30724i | 0.297615 | + | 0.515484i | ||||
\(107\) | 1.02305 | − | 0.274125i | 0.0989020 | − | 0.0265007i | −0.209029 | − | 0.977910i | \(-0.567030\pi\) |
0.307931 | + | 0.951409i | \(0.400364\pi\) | |||||||
\(108\) | 5.18731 | + | 0.303009i | 0.499149 | + | 0.0291570i | ||||
\(109\) | 0.201442 | − | 0.116303i | 0.0192947 | − | 0.0111398i | −0.490322 | − | 0.871542i | \(-0.663121\pi\) |
0.509616 | + | 0.860402i | \(0.329787\pi\) | |||||||
\(110\) | 12.0876 | + | 7.21626i | 1.15250 | + | 0.688043i | ||||
\(111\) | −1.16177 | + | 4.02128i | −0.110271 | + | 0.381683i | ||||
\(112\) | 0.441381 | − | 2.60867i | 0.0417065 | − | 0.246497i | ||||
\(113\) | −3.94167 | − | 14.7105i | −0.370801 | − | 1.38385i | −0.859384 | − | 0.511331i | \(-0.829153\pi\) |
0.488583 | − | 0.872518i | \(-0.337514\pi\) | |||||||
\(114\) | 0.757268 | − | 2.62115i | 0.0709247 | − | 0.245494i | ||||
\(115\) | 2.29330 | − | 1.27973i | 0.213851 | − | 0.119335i | ||||
\(116\) | 0.800147 | − | 0.461965i | 0.0742918 | − | 0.0428924i | ||||
\(117\) | 12.0809 | + | 13.0593i | 1.11688 | + | 1.20733i | ||||
\(118\) | −5.88620 | − | 5.88620i | −0.541868 | − | 0.541868i | ||||
\(119\) | 10.4409 | + | 4.78097i | 0.957120 | + | 0.438271i | ||||
\(120\) | −2.04959 | + | 3.28621i | −0.187101 | + | 0.299989i | ||||
\(121\) | 14.3183 | + | 24.8001i | 1.30167 | + | 2.25455i | ||||
\(122\) | 8.74043 | + | 8.74043i | 0.791322 | + | 0.791322i | ||||
\(123\) | 5.74356 | + | 10.4106i | 0.517879 | + | 0.938692i | ||||
\(124\) | − | 3.20319i | − | 0.287655i | ||||||
\(125\) | −7.55168 | − | 8.24452i | −0.675443 | − | 0.737413i | ||||
\(126\) | 7.08268 | + | 3.58269i | 0.630975 | + | 0.319171i | ||||
\(127\) | 8.24335 | − | 8.24335i | 0.731479 | − | 0.731479i | −0.239433 | − | 0.970913i | \(-0.576962\pi\) |
0.970913 | + | 0.239433i | \(0.0769617\pi\) | |||||||
\(128\) | −0.707107 | + | 0.707107i | −0.0625000 | + | 0.0625000i | ||||
\(129\) | 2.34058 | − | 2.25127i | 0.206077 | − | 0.198213i | ||||
\(130\) | −12.8570 | + | 3.24445i | −1.12763 | + | 0.284557i | ||||
\(131\) | 4.97306 | − | 2.87120i | 0.434498 | − | 0.250858i | −0.266763 | − | 0.963762i | \(-0.585954\pi\) |
0.701261 | + | 0.712904i | \(0.252621\pi\) | |||||||
\(132\) | −9.54789 | + | 5.26760i | −0.831038 | + | 0.458486i | ||||
\(133\) | 2.65673 | − | 3.21106i | 0.230368 | − | 0.278434i | ||||
\(134\) | −6.39112 | −0.552109 | ||||||||
\(135\) | −7.59510 | − | 8.79286i | −0.653682 | − | 0.756769i | ||||
\(136\) | −2.17018 | − | 3.75886i | −0.186091 | − | 0.322320i | ||||
\(137\) | −3.93655 | + | 1.05479i | −0.336322 | + | 0.0901172i | −0.423028 | − | 0.906117i | \(-0.639033\pi\) |
0.0867057 | + | 0.996234i | \(0.472366\pi\) | |||||||
\(138\) | −0.0395616 | + | 2.03386i | −0.00336771 | + | 0.173134i | ||||
\(139\) | 1.39830 | + | 0.807308i | 0.118602 | + | 0.0684750i | 0.558127 | − | 0.829755i | \(-0.311520\pi\) |
−0.439525 | + | 0.898230i | \(0.644853\pi\) | |||||||
\(140\) | −4.87211 | + | 3.35597i | −0.411769 | + | 0.283631i | ||||
\(141\) | 2.43130 | + | 9.83501i | 0.204753 | + | 0.828257i | ||||
\(142\) | −6.70276 | + | 6.70276i | −0.562483 | + | 0.562483i | ||||
\(143\) | −36.0622 | − | 9.66283i | −3.01567 | − | 0.808046i | ||||
\(144\) | −1.39783 | − | 2.65444i | −0.116486 | − | 0.221204i | ||||
\(145\) | −1.98755 | − | 0.563812i | −0.165057 | − | 0.0468221i | ||||
\(146\) | 5.18432 | − | 2.99317i | 0.429058 | − | 0.247717i | ||||
\(147\) | 7.74122 | + | 9.33131i | 0.638485 | + | 0.769634i | ||||
\(148\) | 2.33429 | − | 0.625472i | 0.191878 | − | 0.0514135i | ||||
\(149\) | 3.99291 | + | 6.91592i | 0.327112 | + | 0.566574i | 0.981937 | − | 0.189206i | \(-0.0605913\pi\) |
−0.654826 | + | 0.755780i | \(0.727258\pi\) | |||||||
\(150\) | 8.46431 | − | 1.83180i | 0.691108 | − | 0.149566i | ||||
\(151\) | 2.67237 | − | 4.62868i | 0.217474 | − | 0.376677i | −0.736561 | − | 0.676371i | \(-0.763552\pi\) |
0.954035 | + | 0.299695i | \(0.0968848\pi\) | |||||||
\(152\) | −1.52154 | + | 0.407696i | −0.123413 | + | 0.0330685i | ||||
\(153\) | 12.6989 | − | 2.87844i | 1.02665 | − | 0.232708i | ||||
\(154\) | −16.5832 | + | 1.56660i | −1.33631 | + | 0.126240i | ||||
\(155\) | −5.13815 | + | 4.99016i | −0.412706 | + | 0.400819i | ||||
\(156\) | 2.85082 | − | 9.86762i | 0.228248 | − | 0.790042i | ||||
\(157\) | 16.0894 | − | 16.0894i | 1.28407 | − | 1.28407i | 0.345744 | − | 0.938329i | \(-0.387627\pi\) |
0.938329 | − | 0.345744i | \(-0.112373\pi\) | |||||||
\(158\) | −9.41623 | + | 9.41623i | −0.749115 | + | 0.749115i | ||||
\(159\) | 7.35818 | + | 7.65011i | 0.583541 | + | 0.606693i | ||||
\(160\) | 2.23583 | + | 0.0326704i | 0.176758 | + | 0.00258282i | ||||
\(161\) | −1.29370 | + | 2.82525i | −0.101958 | + | 0.222661i | ||||
\(162\) | 8.84807 | − | 1.64670i | 0.695170 | − | 0.129377i | ||||
\(163\) | 15.5338 | − | 4.16228i | 1.21670 | − | 0.326015i | 0.407314 | − | 0.913288i | \(-0.366465\pi\) |
0.809389 | + | 0.587274i | \(0.199799\pi\) | |||||||
\(164\) | 3.43231 | − | 5.94493i | 0.268018 | − | 0.464221i | ||||
\(165\) | 23.3240 | + | 7.10927i | 1.81577 | + | 0.553456i | ||||
\(166\) | −9.02083 | − | 15.6245i | −0.700152 | − | 1.21270i | ||||
\(167\) | −3.19541 | + | 0.856206i | −0.247268 | + | 0.0662552i | −0.380324 | − | 0.924853i | \(-0.624188\pi\) |
0.133056 | + | 0.991108i | \(0.457521\pi\) | |||||||
\(168\) | −0.342185 | − | 4.56978i | −0.0264002 | − | 0.352566i | ||||
\(169\) | 19.1961 | − | 11.0828i | 1.47662 | − | 0.852527i | ||||
\(170\) | −2.64863 | + | 9.33694i | −0.203140 | + | 0.716110i | ||||
\(171\) | 0.183772 | − | 4.72207i | 0.0140534 | − | 0.361106i | ||||
\(172\) | −1.81108 | − | 0.485278i | −0.138094 | − | 0.0370021i | ||||
\(173\) | 4.11813 | − | 4.11813i | 0.313096 | − | 0.313096i | −0.533012 | − | 0.846108i | \(-0.678940\pi\) |
0.846108 | + | 0.533012i | \(0.178940\pi\) | |||||||
\(174\) | 1.15337 | − | 1.10936i | 0.0874369 | − | 0.0841002i | ||||
\(175\) | 12.9733 | + | 2.58706i | 0.980691 | + | 0.195564i | ||||
\(176\) | 5.45229 | + | 3.14788i | 0.410982 | + | 0.237281i | ||||
\(177\) | −12.3439 | − | 7.45056i | −0.927828 | − | 0.560018i | ||||
\(178\) | 12.9012 | − | 3.45687i | 0.966987 | − | 0.259103i | ||||
\(179\) | −2.90382 | − | 5.02957i | −0.217042 | − | 0.375927i | 0.736860 | − | 0.676045i | \(-0.236307\pi\) |
−0.953902 | + | 0.300117i | \(0.902974\pi\) | |||||||
\(180\) | −2.08028 | + | 6.37749i | −0.155055 | + | 0.475350i | ||||
\(181\) | 5.33095 | 0.396247 | 0.198123 | − | 0.980177i | \(-0.436515\pi\) | ||||
0.198123 | + | 0.980177i | \(0.436515\pi\) | |||||||
\(182\) | 10.0016 | − | 12.0884i | 0.741365 | − | 0.896050i | ||||
\(183\) | 18.3296 | + | 11.0634i | 1.35496 | + | 0.817827i | ||||
\(184\) | 1.01712 | − | 0.587236i | 0.0749832 | − | 0.0432916i | ||||
\(185\) | −4.63982 | − | 2.76997i | −0.341126 | − | 0.203652i | ||||
\(186\) | −1.33146 | − | 5.38596i | −0.0976273 | − | 0.394918i | ||||
\(187\) | −19.3223 | + | 19.3223i | −1.41299 | + | 1.41299i | ||||
\(188\) | 4.13599 | − | 4.13599i | 0.301648 | − | 0.301648i | ||||
\(189\) | 13.3983 | + | 3.08003i | 0.974580 | + | 0.224039i | ||||
\(190\) | 3.02433 | + | 1.80552i | 0.219408 | + | 0.130986i | ||||
\(191\) | 1.31228i | 0.0949531i | 0.998872 | + | 0.0474766i | \(0.0151179\pi\) | ||||
−0.998872 | + | 0.0474766i | \(0.984882\pi\) | |||||||
\(192\) | −0.895033 | + | 1.48287i | −0.0645935 | + | 0.107017i | ||||
\(193\) | −0.459893 | − | 0.459893i | −0.0331038 | − | 0.0331038i | 0.690361 | − | 0.723465i | \(-0.257452\pi\) |
−0.723465 | + | 0.690361i | \(0.757452\pi\) | |||||||
\(194\) | 0.0432200 | + | 0.0748593i | 0.00310302 | + | 0.00537458i | ||||
\(195\) | −20.2696 | + | 10.7995i | −1.45153 | + | 0.773371i | ||||
\(196\) | 2.30284 | − | 6.61037i | 0.164488 | − | 0.472169i | ||||
\(197\) | −4.43627 | − | 4.43627i | −0.316071 | − | 0.316071i | 0.531185 | − | 0.847256i | \(-0.321747\pi\) |
−0.847256 | + | 0.531185i | \(0.821747\pi\) | |||||||
\(198\) | −13.8646 | + | 12.8259i | −0.985314 | + | 0.911494i | ||||
\(199\) | −7.75962 | + | 4.48002i | −0.550065 | + | 0.317580i | −0.749148 | − | 0.662403i | \(-0.769537\pi\) |
0.199083 | + | 0.979983i | \(0.436204\pi\) | |||||||
\(200\) | −3.43072 | − | 3.63733i | −0.242589 | − | 0.257198i | ||||
\(201\) | −10.7463 | + | 2.65657i | −0.757982 | + | 0.187380i | ||||
\(202\) | −2.93460 | − | 10.9521i | −0.206478 | − | 0.770586i | ||||
\(203\) | 2.29123 | − | 0.851948i | 0.160813 | − | 0.0597950i | ||||
\(204\) | −5.21145 | − | 5.41821i | −0.364874 | − | 0.379350i | ||||
\(205\) | −14.8832 | + | 3.75576i | −1.03949 | + | 0.262313i | ||||
\(206\) | 3.92236 | − | 2.26458i | 0.273284 | − | 0.157781i | ||||
\(207\) | 0.778886 | + | 3.43625i | 0.0541363 | + | 0.238836i | ||||
\(208\) | −5.72800 | + | 1.53481i | −0.397166 | + | 0.106420i | ||||
\(209\) | 4.95859 | + | 8.58853i | 0.342993 | + | 0.594081i | ||||
\(210\) | −6.79718 | + | 7.66801i | −0.469050 | + | 0.529143i | ||||
\(211\) | −1.30948 | + | 2.26808i | −0.0901481 | + | 0.156141i | −0.907573 | − | 0.419894i | \(-0.862067\pi\) |
0.817425 | + | 0.576035i | \(0.195401\pi\) | |||||||
\(212\) | 1.58611 | − | 5.91945i | 0.108935 | − | 0.406550i | ||||
\(213\) | −8.48414 | + | 14.0564i | −0.581323 | + | 0.963125i | ||||
\(214\) | −0.917241 | − | 0.529570i | −0.0627013 | − | 0.0362006i | ||||
\(215\) | 2.04301 | + | 3.66110i | 0.139332 | + | 0.249685i | ||||
\(216\) | −3.45372 | − | 3.88224i | −0.234996 | − | 0.264153i | ||||
\(217\) | 1.41383 | − | 8.35609i | 0.0959769 | − | 0.567248i | ||||
\(218\) | −0.224680 | − | 0.0602028i | −0.0152172 | − | 0.00407745i | ||||
\(219\) | 7.47294 | − | 7.18777i | 0.504975 | − | 0.485704i | ||||
\(220\) | −3.44453 | − | 13.6499i | −0.232230 | − | 0.920273i | ||||
\(221\) | − | 25.7386i | − | 1.73137i | ||||||
\(222\) | 3.66497 | − | 2.02198i | 0.245977 | − | 0.135706i | ||||
\(223\) | −6.49461 | + | 24.2382i | −0.434911 | + | 1.62311i | 0.306367 | + | 0.951913i | \(0.400886\pi\) |
−0.741279 | + | 0.671197i | \(0.765780\pi\) | |||||||
\(224\) | −2.15671 | + | 1.53251i | −0.144102 | + | 0.102395i | ||||
\(225\) | 13.4708 | − | 6.59838i | 0.898051 | − | 0.439892i | ||||
\(226\) | −7.61472 | + | 13.1891i | −0.506524 | + | 0.877325i | ||||
\(227\) | −24.1560 | + | 6.47257i | −1.60329 | + | 0.429600i | −0.946033 | − | 0.324069i | \(-0.894949\pi\) |
−0.657255 | + | 0.753669i | \(0.728282\pi\) | |||||||
\(228\) | −2.38891 | + | 1.31797i | −0.158209 | + | 0.0872844i | ||||
\(229\) | 7.93914 | − | 4.58366i | 0.524633 | − | 0.302897i | −0.214195 | − | 0.976791i | \(-0.568713\pi\) |
0.738828 | + | 0.673894i | \(0.235379\pi\) | |||||||
\(230\) | −2.52651 | − | 0.716701i | −0.166593 | − | 0.0472578i | ||||
\(231\) | −27.2324 | + | 9.52720i | −1.79176 | + | 0.626844i | ||||
\(232\) | −0.892448 | − | 0.239131i | −0.0585921 | − | 0.0156997i | ||||
\(233\) | 5.49236 | + | 20.4978i | 0.359817 | + | 1.34285i | 0.874314 | + | 0.485362i | \(0.161312\pi\) |
−0.514497 | + | 0.857492i | \(0.672021\pi\) | |||||||
\(234\) | 0.691830 | − | 17.7767i | 0.0452264 | − | 1.16210i | ||||
\(235\) | −13.0778 | − | 0.191095i | −0.853099 | − | 0.0124657i | ||||
\(236\) | 8.32434i | 0.541868i | ||||||||
\(237\) | −11.9188 | + | 19.7468i | −0.774207 | + | 1.28269i | ||||
\(238\) | −4.00220 | − | 10.7635i | −0.259424 | − | 0.697695i | ||||
\(239\) | 2.96499 | − | 5.13552i | 0.191789 | − | 0.332189i | −0.754054 | − | 0.656813i | \(-0.771904\pi\) |
0.945843 | + | 0.324624i | \(0.105238\pi\) | |||||||
\(240\) | 3.77298 | − | 0.874425i | 0.243545 | − | 0.0564439i | ||||
\(241\) | 11.3514 | − | 19.6612i | 0.731209 | − | 1.26649i | −0.225158 | − | 0.974322i | \(-0.572290\pi\) |
0.956367 | − | 0.292168i | \(-0.0943767\pi\) | |||||||
\(242\) | 7.41171 | − | 27.6609i | 0.476443 | − | 1.77811i | ||||
\(243\) | 14.1930 | − | 6.44666i | 0.910480 | − | 0.413554i | ||||
\(244\) | − | 12.3608i | − | 0.791322i | ||||||
\(245\) | −14.1910 | + | 6.60417i | −0.906631 | + | 0.421925i | ||||
\(246\) | 3.30010 | − | 11.4227i | 0.210406 | − | 0.728286i | ||||
\(247\) | −9.02284 | − | 2.41766i | −0.574109 | − | 0.153832i | ||||
\(248\) | −2.26500 | + | 2.26500i | −0.143828 | + | 0.143828i | ||||
\(249\) | −21.6625 | − | 22.5220i | −1.37281 | − | 1.42727i | ||||
\(250\) | −0.489916 | + | 11.1696i | −0.0309850 | + | 0.706428i | ||||
\(251\) | 7.87318i | 0.496951i | 0.968638 | + | 0.248475i | \(0.0799295\pi\) | ||||
−0.968638 | + | 0.248475i | \(0.920070\pi\) | |||||||
\(252\) | −2.47487 | − | 7.54155i | −0.155902 | − | 0.475073i | ||||
\(253\) | −5.22849 | − | 5.22849i | −0.328712 | − | 0.328712i | ||||
\(254\) | −11.6579 | −0.731479 | ||||||||
\(255\) | −0.572446 | + | 16.8004i | −0.0358480 | + | 1.05208i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 3.60224 | − | 13.4437i | 0.224701 | − | 0.838597i | −0.757823 | − | 0.652461i | \(-0.773737\pi\) |
0.982524 | − | 0.186136i | \(-0.0595965\pi\) | |||||||
\(258\) | −3.24693 | − | 0.0631577i | −0.202145 | − | 0.00393202i | ||||
\(259\) | 6.36548 | − | 0.601341i | 0.395532 | − | 0.0373655i | ||||
\(260\) | 11.3854 | + | 6.79709i | 0.706094 | + | 0.421538i | ||||
\(261\) | 1.47820 | − | 2.34473i | 0.0914981 | − | 0.145135i | ||||
\(262\) | −5.54673 | − | 1.48624i | −0.342678 | − | 0.0918203i | ||||
\(263\) | 1.40058 | + | 5.22702i | 0.0863633 | + | 0.322312i | 0.995569 | − | 0.0940353i | \(-0.0299767\pi\) |
−0.909206 | + | 0.416347i | \(0.863310\pi\) | |||||||
\(264\) | 10.4761 | + | 3.02662i | 0.644762 | + | 0.186276i | ||||
\(265\) | −11.9662 | + | 6.67749i | −0.735077 | + | 0.410195i | ||||
\(266\) | −4.14915 | + | 0.391967i | −0.254401 | + | 0.0240330i | ||||
\(267\) | 20.2557 | − | 11.1751i | 1.23963 | − | 0.683905i | ||||
\(268\) | 4.51921 | + | 4.51921i | 0.276055 | + | 0.276055i | ||||
\(269\) | 14.0186 | + | 24.2810i | 0.854732 | + | 1.48044i | 0.876894 | + | 0.480684i | \(0.159612\pi\) |
−0.0221622 | + | 0.999754i | \(0.507055\pi\) | |||||||
\(270\) | −0.846947 | + | 11.5880i | −0.0515436 | + | 0.705226i | ||||
\(271\) | −4.39946 | + | 7.62008i | −0.267248 | + | 0.462887i | −0.968150 | − | 0.250370i | \(-0.919448\pi\) |
0.700902 | + | 0.713257i | \(0.252781\pi\) | |||||||
\(272\) | −1.12337 | + | 4.19247i | −0.0681142 | + | 0.254206i | ||||
\(273\) | 11.7922 | − | 24.4831i | 0.713698 | − | 1.48179i | ||||
\(274\) | 3.52941 | + | 2.03771i | 0.213220 | + | 0.123102i | ||||
\(275\) | −16.5292 | + | 26.7899i | −0.996749 | + | 1.61549i | ||||
\(276\) | 1.46613 | − | 1.41018i | 0.0882507 | − | 0.0848830i | ||||
\(277\) | 3.49664 | + | 13.0496i | 0.210092 | + | 0.784076i | 0.987837 | + | 0.155495i | \(0.0496972\pi\) |
−0.777744 | + | 0.628581i | \(0.783636\pi\) | |||||||
\(278\) | −0.417893 | − | 1.55960i | −0.0250636 | − | 0.0935386i | ||||
\(279\) | −4.47752 | − | 8.50270i | −0.268062 | − | 0.509043i | ||||
\(280\) | 5.81813 | + | 1.07208i | 0.347700 | + | 0.0640689i | ||||
\(281\) | −14.4482 | + | 8.34169i | −0.861909 | + | 0.497623i | −0.864651 | − | 0.502373i | \(-0.832460\pi\) |
0.00274228 | + | 0.999996i | \(0.499127\pi\) | |||||||
\(282\) | 5.23521 | − | 8.67359i | 0.311752 | − | 0.516505i | ||||
\(283\) | 9.71304 | + | 9.71304i | 0.577380 | + | 0.577380i | 0.934181 | − | 0.356800i | \(-0.116132\pi\) |
−0.356800 | + | 0.934181i | \(0.616132\pi\) | |||||||
\(284\) | 9.47913 | 0.562483 | ||||||||
\(285\) | 5.83571 | + | 1.77876i | 0.345678 | + | 0.105364i | ||||
\(286\) | 18.6671 | + | 32.3325i | 1.10381 | + | 1.91186i | ||||
\(287\) | 11.5778 | − | 13.9934i | 0.683413 | − | 0.826007i | ||||
\(288\) | −0.888559 | + | 2.86539i | −0.0523589 | + | 0.168845i | ||||
\(289\) | −1.59238 | − | 0.919360i | −0.0936693 | − | 0.0540800i | ||||
\(290\) | 1.00673 | + | 1.80409i | 0.0591175 | + | 0.105940i | ||||
\(291\) | 0.103788 | + | 0.107906i | 0.00608417 | + | 0.00632555i | ||||
\(292\) | −5.78236 | − | 1.54938i | −0.338387 | − | 0.0906706i | ||||
\(293\) | −1.45533 | − | 5.43138i | −0.0850215 | − | 0.317305i | 0.910297 | − | 0.413956i | \(-0.135853\pi\) |
−0.995318 | + | 0.0966517i | \(0.969187\pi\) | |||||||
\(294\) | 1.12436 | − | 12.0721i | 0.0655742 | − | 0.704060i | ||||
\(295\) | 13.3528 | − | 12.9682i | 0.777432 | − | 0.755039i | ||||
\(296\) | −2.09287 | − | 1.20832i | −0.121646 | − | 0.0702321i | ||||
\(297\) | −17.9811 | + | 27.3289i | −1.04337 | + | 1.58578i | ||||
\(298\) | 2.06688 | − | 7.71371i | 0.119731 | − | 0.446843i | ||||
\(299\) | 6.96469 | 0.402779 | ||||||||
\(300\) | −7.28045 | − | 4.68989i | −0.420337 | − | 0.270771i | ||||
\(301\) | −4.51033 | − | 2.06531i | −0.259971 | − | 0.119042i | ||||
\(302\) | −5.16262 | + | 1.38332i | −0.297075 | + | 0.0796011i | ||||
\(303\) | −9.48676 | − | 17.1954i | −0.545000 | − | 0.987850i | ||||
\(304\) | 1.36418 | + | 0.787607i | 0.0782409 | + | 0.0451724i | ||||
\(305\) | −19.8277 | + | 19.2566i | −1.13533 | + | 1.10263i | ||||
\(306\) | −11.0149 | − | 6.94414i | −0.629678 | − | 0.396970i | ||||
\(307\) | 4.71179 | − | 4.71179i | 0.268916 | − | 0.268916i | −0.559747 | − | 0.828663i | \(-0.689102\pi\) |
0.828663 | + | 0.559747i | \(0.189102\pi\) | |||||||
\(308\) | 12.8338 | + | 10.6183i | 0.731276 | + | 0.605036i | ||||
\(309\) | 5.65389 | − | 5.43813i | 0.321638 | − | 0.309364i | ||||
\(310\) | 7.16180 | + | 0.104650i | 0.406763 | + | 0.00594370i | ||||
\(311\) | 21.0289i | 1.19244i | 0.802821 | + | 0.596220i | \(0.203331\pi\) | ||||
−0.802821 | + | 0.596220i | \(0.796669\pi\) | |||||||
\(312\) | −8.99329 | + | 4.96163i | −0.509145 | + | 0.280897i | ||||
\(313\) | 0.287266 | + | 0.287266i | 0.0162372 | + | 0.0162372i | 0.715179 | − | 0.698942i | \(-0.246345\pi\) |
−0.698942 | + | 0.715179i | \(0.746345\pi\) | |||||||
\(314\) | −22.7538 | −1.28407 | ||||||||
\(315\) | −8.24168 | + | 15.7186i | −0.464366 | + | 0.885643i | ||||
\(316\) | 13.3166 | 0.749115 | ||||||||
\(317\) | 6.57722 | + | 6.57722i | 0.369413 | + | 0.369413i | 0.867263 | − | 0.497850i | \(-0.165877\pi\) |
−0.497850 | + | 0.867263i | \(0.665877\pi\) | |||||||
\(318\) | 0.206428 | − | 10.6125i | 0.0115759 | − | 0.595117i | ||||
\(319\) | 5.81685i | 0.325681i | ||||||||
\(320\) | −1.55787 | − | 1.60407i | −0.0870875 | − | 0.0896703i | ||||
\(321\) | −1.76241 | − | 0.509170i | −0.0983679 | − | 0.0284191i | ||||
\(322\) | 2.91254 | − | 1.08297i | 0.162309 | − | 0.0603515i | ||||
\(323\) | −4.83449 | + | 4.83449i | −0.268998 | + | 0.268998i | ||||
\(324\) | −7.42092 | − | 5.09214i | −0.412274 | − | 0.282897i | ||||
\(325\) | −6.83399 | − | 28.8520i | −0.379081 | − | 1.60042i | ||||
\(326\) | −13.9272 | − | 8.04090i | −0.771359 | − | 0.445344i | ||||
\(327\) | −0.402809 | − | 0.00783523i | −0.0222754 | − | 0.000433289i | ||||
\(328\) | −6.63071 | + | 1.77669i | −0.366120 | + | 0.0981015i | ||||
\(329\) | 12.6150 | − | 8.96391i | 0.695488 | − | 0.494196i | ||||
\(330\) | −11.4655 | − | 21.5196i | −0.631156 | − | 1.18461i | ||||
\(331\) | 26.0974 | 1.43444 | 0.717222 | − | 0.696845i | \(-0.245414\pi\) | ||||
0.717222 | + | 0.696845i | \(0.245414\pi\) | |||||||
\(332\) | −4.66953 | + | 17.4269i | −0.256274 | + | 0.956426i | ||||
\(333\) | 5.32194 | − | 4.92322i | 0.291641 | − | 0.269791i | ||||
\(334\) | 2.86492 | + | 1.65406i | 0.156762 | + | 0.0905063i | ||||
\(335\) | 0.208800 | − | 14.2895i | 0.0114080 | − | 0.780717i | ||||
\(336\) | −2.98936 | + | 3.47329i | −0.163083 | + | 0.189483i | ||||
\(337\) | 6.58481 | + | 24.5748i | 0.358697 | + | 1.33868i | 0.875767 | + | 0.482733i | \(0.160356\pi\) |
−0.517070 | + | 0.855943i | \(0.672977\pi\) | |||||||
\(338\) | −21.4104 | − | 5.73690i | −1.16457 | − | 0.312046i | ||||
\(339\) | −7.32140 | + | 25.3418i | −0.397644 | + | 1.37638i | ||||
\(340\) | 8.47507 | − | 4.72935i | 0.459625 | − | 0.256485i | ||||
\(341\) | 17.4647 | + | 10.0833i | 0.945769 | + | 0.546040i | ||||
\(342\) | −3.46895 | + | 3.20906i | −0.187580 | + | 0.173526i | ||||
\(343\) | 8.92504 | − | 16.2279i | 0.481907 | − | 0.876222i | ||||
\(344\) | 0.937485 | + | 1.62377i | 0.0505458 | + | 0.0875479i | ||||
\(345\) | −4.54607 | − | 0.154900i | −0.244752 | − | 0.00833954i | ||||
\(346\) | −5.82392 | −0.313096 | ||||||||
\(347\) | −23.7875 | − | 23.7875i | −1.27698 | − | 1.27698i | −0.942350 | − | 0.334630i | \(-0.891389\pi\) |
−0.334630 | − | 0.942350i | \(-0.608611\pi\) | |||||||
\(348\) | −1.59999 | − | 0.0311222i | −0.0857686 | − | 0.00166833i | ||||
\(349\) | −16.9808 | + | 9.80384i | −0.908959 | + | 0.524788i | −0.880096 | − | 0.474796i | \(-0.842522\pi\) |
−0.0288628 | + | 0.999583i | \(0.509189\pi\) | |||||||
\(350\) | −7.34419 | − | 11.0029i | −0.392564 | − | 0.588127i | ||||
\(351\) | −6.22592 | − | 30.1780i | −0.332315 | − | 1.61078i | ||||
\(352\) | −1.62946 | − | 6.08124i | −0.0868507 | − | 0.324131i | ||||
\(353\) | 4.95115 | + | 18.4779i | 0.263523 | + | 0.983481i | 0.963148 | + | 0.268971i | \(0.0866836\pi\) |
−0.699625 | + | 0.714510i | \(0.746650\pi\) | |||||||
\(354\) | 3.46015 | + | 13.9968i | 0.183905 | + | 0.743923i | ||||
\(355\) | −14.7672 | − | 15.2052i | −0.783763 | − | 0.807008i | ||||
\(356\) | −11.5669 | − | 6.67816i | −0.613045 | − | 0.353942i | ||||
\(357\) | −11.2035 | − | 16.4346i | −0.592951 | − | 0.869810i | ||||
\(358\) | −1.50313 | + | 5.60975i | −0.0794428 | + | 0.296485i | ||||
\(359\) | 6.21763 | − | 10.7692i | 0.328154 | − | 0.568379i | −0.653992 | − | 0.756502i | \(-0.726907\pi\) |
0.982146 | + | 0.188123i | \(0.0602403\pi\) | |||||||
\(360\) | 5.98055 | − | 3.03859i | 0.315203 | − | 0.160148i | ||||
\(361\) | −8.25935 | − | 14.3056i | −0.434703 | − | 0.752927i | ||||
\(362\) | −3.76955 | − | 3.76955i | −0.198123 | − | 0.198123i | ||||
\(363\) | 0.964614 | − | 49.5907i | 0.0506291 | − | 2.60284i | ||||
\(364\) | −15.6199 | + | 1.47560i | −0.818707 | + | 0.0773425i | ||||
\(365\) | 6.52285 | + | 11.6891i | 0.341421 | + | 0.611833i | ||||
\(366\) | −5.13798 | − | 20.7839i | −0.268567 | − | 1.08639i | ||||
\(367\) | −0.454718 | − | 1.69703i | −0.0237361 | − | 0.0885843i | 0.953042 | − | 0.302839i | \(-0.0979344\pi\) |
−0.976778 | + | 0.214255i | \(0.931268\pi\) | |||||||
\(368\) | −1.13445 | − | 0.303976i | −0.0591374 | − | 0.0158458i | ||||
\(369\) | 0.800860 | − | 20.5783i | 0.0416911 | − | 1.07126i | ||||
\(370\) | 1.32219 | + | 5.23951i | 0.0687372 | + | 0.272389i | ||||
\(371\) | 6.75038 | − | 14.7418i | 0.350462 | − | 0.765358i | ||||
\(372\) | −2.86697 | + | 4.74993i | −0.148645 | + | 0.246273i | ||||
\(373\) | 3.27088 | − | 12.2071i | 0.169360 | − | 0.632060i | −0.828084 | − | 0.560604i | \(-0.810569\pi\) |
0.997444 | − | 0.0714555i | \(-0.0227644\pi\) | |||||||
\(374\) | 27.3259 | 1.41299 | ||||||||
\(375\) | 3.81906 | + | 18.9846i | 0.197216 | + | 0.980360i | ||||
\(376\) | −5.84918 | −0.301648 | ||||||||
\(377\) | −3.87422 | − | 3.87422i | −0.199532 | − | 0.199532i | ||||
\(378\) | −7.29609 | − | 11.6519i | −0.375271 | − | 0.599310i | ||||
\(379\) | 23.9709i | 1.23130i | 0.788019 | + | 0.615651i | \(0.211107\pi\) | ||||
−0.788019 | + | 0.615651i | \(0.788893\pi\) | |||||||
\(380\) | −0.861828 | − | 3.41522i | −0.0442109 | − | 0.175197i | ||||
\(381\) | −19.6019 | + | 4.84578i | −1.00424 | + | 0.248257i | ||||
\(382\) | 0.927921 | − | 0.927921i | 0.0474766 | − | 0.0474766i | ||||
\(383\) | −14.6830 | − | 3.93430i | −0.750266 | − | 0.201033i | −0.136630 | − | 0.990622i | \(-0.543627\pi\) |
−0.613636 | + | 0.789589i | \(0.710294\pi\) | |||||||
\(384\) | 1.68143 | − | 0.415666i | 0.0858053 | − | 0.0212119i | ||||
\(385\) | −2.96087 | − | 37.1284i | −0.150900 | − | 1.89224i | ||||
\(386\) | 0.650387i | 0.0331038i | ||||||||
\(387\) | −5.48575 | + | 1.24344i | −0.278856 | + | 0.0632078i | ||||
\(388\) | 0.0223723 | − | 0.0834947i | 0.00113578 | − | 0.00423880i | ||||
\(389\) | −4.46656 | + | 7.73631i | −0.226464 | + | 0.392247i | −0.956758 | − | 0.290887i | \(-0.906050\pi\) |
0.730294 | + | 0.683133i | \(0.239383\pi\) | |||||||
\(390\) | 21.9692 | + | 6.69632i | 1.11245 | + | 0.339082i | ||||
\(391\) | 2.54881 | − | 4.41468i | 0.128899 | − | 0.223260i | ||||
\(392\) | −6.30259 | + | 3.04588i | −0.318329 | + | 0.153840i | ||||
\(393\) | −9.94424 | − | 0.193430i | −0.501621 | − | 0.00975728i | ||||
\(394\) | 6.27383i | 0.316071i | ||||||||
\(395\) | −20.7455 | − | 21.3607i | −1.04382 | − | 1.07477i | ||||
\(396\) | 18.8730 | + | 0.734495i | 0.948404 | + | 0.0369097i | ||||
\(397\) | −1.85320 | − | 6.91625i | −0.0930096 | − | 0.347116i | 0.903701 | − | 0.428165i | \(-0.140840\pi\) |
−0.996710 | + | 0.0810486i | \(0.974173\pi\) | |||||||
\(398\) | 8.65473 | + | 2.31903i | 0.433822 | + | 0.116242i | ||||
\(399\) | −6.81360 | + | 2.38373i | −0.341107 | + | 0.119336i | ||||
\(400\) | −0.146091 | + | 4.99787i | −0.00730454 | + | 0.249893i | ||||
\(401\) | −5.47738 | + | 3.16237i | −0.273527 | + | 0.157921i | −0.630489 | − | 0.776198i | \(-0.717146\pi\) |
0.356962 | + | 0.934119i | \(0.383812\pi\) | |||||||
\(402\) | 9.47723 | + | 5.72027i | 0.472681 | + | 0.285301i | ||||
\(403\) | −18.3479 | + | 4.91631i | −0.913975 | + | 0.244899i | ||||
\(404\) | −5.66922 | + | 9.81937i | −0.282054 | + | 0.488532i | ||||
\(405\) | 3.39267 | + | 19.8366i | 0.168583 | + | 0.985687i | ||||
\(406\) | −2.22256 | − | 1.01772i | −0.110304 | − | 0.0505088i | ||||
\(407\) | −3.93782 | + | 14.6962i | −0.195191 | + | 0.728461i | ||||
\(408\) | −0.146203 | + | 7.51630i | −0.00723814 | + | 0.372112i | ||||
\(409\) | 6.13817i | 0.303513i | 0.988418 | + | 0.151757i | \(0.0484930\pi\) | ||||
−0.988418 | + | 0.151757i | \(0.951507\pi\) | |||||||
\(410\) | 13.1797 | + | 7.86828i | 0.650900 | + | 0.388587i | ||||
\(411\) | 6.78148 | + | 1.95921i | 0.334506 | + | 0.0966409i | ||||
\(412\) | −4.37483 | − | 1.17223i | −0.215532 | − | 0.0577517i | ||||
\(413\) | −3.67420 | + | 21.7155i | −0.180796 | + | 1.06855i | ||||
\(414\) | 1.87904 | − | 2.98055i | 0.0923496 | − | 0.146486i | ||||
\(415\) | 35.2285 | − | 19.6586i | 1.72930 | − | 0.965002i | ||||
\(416\) | 5.13559 | + | 2.96503i | 0.251793 | + | 0.145373i | ||||
\(417\) | −1.35093 | − | 2.44866i | −0.0661555 | − | 0.119911i | ||||
\(418\) | 2.56675 | − | 9.57926i | 0.125544 | − | 0.468537i | ||||
\(419\) | 15.9180 | − | 27.5708i | 0.777645 | − | 1.34692i | −0.155651 | − | 0.987812i | \(-0.549748\pi\) |
0.933296 | − | 0.359108i | \(-0.116919\pi\) | |||||||
\(420\) | 10.2284 | − | 0.615771i | 0.499096 | − | 0.0300465i | ||||
\(421\) | 4.03625 | + | 6.99099i | 0.196715 | + | 0.340720i | 0.947461 | − | 0.319870i | \(-0.103639\pi\) |
−0.750747 | + | 0.660590i | \(0.770306\pi\) | |||||||
\(422\) | 2.52971 | − | 0.677835i | 0.123145 | − | 0.0329965i | ||||
\(423\) | 5.19734 | − | 16.7602i | 0.252703 | − | 0.814908i | ||||
\(424\) | −5.30724 | + | 3.06413i | −0.257742 | + | 0.148807i | ||||
\(425\) | −20.7893 | − | 6.22692i | −1.00843 | − | 0.302050i | ||||
\(426\) | 15.9385 | − | 3.94015i | 0.772224 | − | 0.190901i | ||||
\(427\) | 5.45583 | − | 32.2454i | 0.264026 | − | 1.56046i | ||||
\(428\) | 0.274125 | + | 1.02305i | 0.0132503 | + | 0.0494510i | ||||
\(429\) | 44.8271 | + | 46.6056i | 2.16427 | + | 2.25014i | ||||
\(430\) | 1.14417 | − | 4.03342i | 0.0551767 | − | 0.194509i | ||||
\(431\) | 21.0923 | − | 12.1776i | 1.01598 | − | 0.586576i | 0.103042 | − | 0.994677i | \(-0.467142\pi\) |
0.912937 | + | 0.408101i | \(0.133809\pi\) | |||||||
\(432\) | −0.303009 | + | 5.18731i | −0.0145785 | + | 0.249575i | ||||
\(433\) | 18.6284 | + | 18.6284i | 0.895224 | + | 0.895224i | 0.995009 | − | 0.0997846i | \(-0.0318154\pi\) |
−0.0997846 | + | 0.995009i | \(0.531815\pi\) | |||||||
\(434\) | −6.90838 | + | 4.90892i | −0.331613 | + | 0.235636i | ||||
\(435\) | 2.44265 | + | 2.61499i | 0.117116 | + | 0.125379i | ||||
\(436\) | 0.116303 | + | 0.201442i | 0.00556989 | + | 0.00964734i | ||||
\(437\) | −1.30818 | − | 1.30818i | −0.0625787 | − | 0.0625787i | ||||
\(438\) | −10.3667 | − | 0.201648i | −0.495339 | − | 0.00963510i | ||||
\(439\) | 13.1054i | 0.625485i | 0.949838 | + | 0.312743i | \(0.101248\pi\) | ||||
−0.949838 | + | 0.312743i | \(0.898752\pi\) | |||||||
\(440\) | −7.21626 | + | 12.0876i | −0.344021 | + | 0.576251i | ||||
\(441\) | −3.12742 | − | 20.7658i | −0.148925 | − | 0.988849i | ||||
\(442\) | −18.2000 | + | 18.2000i | −0.865683 | + | 0.865683i | ||||
\(443\) | −1.88960 | + | 1.88960i | −0.0897778 | + | 0.0897778i | −0.750569 | − | 0.660792i | \(-0.770221\pi\) |
0.660792 | + | 0.750569i | \(0.270221\pi\) | |||||||
\(444\) | −4.02128 | − | 1.16177i | −0.190841 | − | 0.0551353i | ||||
\(445\) | 7.30749 | + | 28.9579i | 0.346408 | + | 1.37273i | ||||
\(446\) | 21.7314 | − | 12.5466i | 1.02901 | − | 0.594100i | ||||
\(447\) | 0.268999 | − | 13.8292i | 0.0127232 | − | 0.654100i | ||||
\(448\) | 2.60867 | + | 0.441381i | 0.123248 | + | 0.0208533i | ||||
\(449\) | −15.7386 | −0.742749 | −0.371374 | − | 0.928483i | \(-0.621113\pi\) | ||||
−0.371374 | + | 0.928483i | \(0.621113\pi\) | |||||||
\(450\) | −14.1910 | − | 4.85951i | −0.668971 | − | 0.229079i | ||||
\(451\) | 21.6090 | + | 37.4279i | 1.01753 | + | 1.76241i | ||||
\(452\) | 14.7105 | − | 3.94167i | 0.691924 | − | 0.185401i | ||||
\(453\) | −8.10561 | + | 4.47189i | −0.380835 | + | 0.210108i | ||||
\(454\) | 21.6577 | + | 12.5041i | 1.01644 | + | 0.586844i | ||||
\(455\) | 26.7008 | + | 22.7567i | 1.25175 | + | 1.06685i | ||||
\(456\) | 2.62115 | + | 0.757268i | 0.122747 | + | 0.0354623i | ||||
\(457\) | 6.59771 | − | 6.59771i | 0.308628 | − | 0.308628i | −0.535749 | − | 0.844377i | \(-0.679971\pi\) |
0.844377 | + | 0.535749i | \(0.179971\pi\) | |||||||
\(458\) | −8.85496 | − | 2.37268i | −0.413765 | − | 0.110868i | ||||
\(459\) | −21.4072 | − | 7.09761i | −0.999204 | − | 0.331288i | ||||
\(460\) | 1.27973 | + | 2.29330i | 0.0596677 | + | 0.106926i | ||||
\(461\) | −23.1959 | + | 13.3922i | −1.08034 | + | 0.623735i | −0.930988 | − | 0.365049i | \(-0.881052\pi\) |
−0.149352 | + | 0.988784i | \(0.547719\pi\) | |||||||
\(462\) | 25.9929 | + | 12.5194i | 1.20930 | + | 0.582457i | ||||
\(463\) | −40.0588 | + | 10.7337i | −1.86169 | + | 0.498838i | −0.999964 | − | 0.00853803i | \(-0.997282\pi\) |
−0.861725 | + | 0.507376i | \(0.830616\pi\) | |||||||
\(464\) | 0.461965 | + | 0.800147i | 0.0214462 | + | 0.0371459i | ||||
\(465\) | 12.0856 | − | 2.80095i | 0.560456 | − | 0.129891i | ||||
\(466\) | 10.6104 | − | 18.3778i | 0.491519 | − | 0.851335i | ||||
\(467\) | 23.6435 | − | 6.33527i | 1.09409 | − | 0.293161i | 0.333736 | − | 0.942667i | \(-0.391691\pi\) |
0.760357 | + | 0.649505i | \(0.225024\pi\) | |||||||
\(468\) | −13.0593 | + | 12.0809i | −0.603664 | + | 0.558438i | ||||
\(469\) | 9.79445 | + | 13.7838i | 0.452266 | + | 0.636478i | ||||
\(470\) | 9.11225 | + | 9.38250i | 0.420317 | + | 0.432782i | ||||
\(471\) | −38.2591 | + | 9.45799i | −1.76288 | + | 0.435801i | ||||
\(472\) | 5.88620 | − | 5.88620i | 0.270934 | − | 0.270934i | ||||
\(473\) | 8.34695 | − | 8.34695i | 0.383793 | − | 0.383793i | ||||
\(474\) | 22.3909 | − | 5.53524i | 1.02845 | − | 0.254242i | ||||
\(475\) | −4.13565 | + | 6.70291i | −0.189757 | + | 0.307550i | ||||
\(476\) | −4.78097 | + | 10.4409i | −0.219136 | + | 0.478560i | ||||
\(477\) | −4.06415 | − | 17.9300i | −0.186084 | − | 0.820957i | ||||
\(478\) | −5.72792 | + | 1.53479i | −0.261989 | + | 0.0701998i | ||||
\(479\) | 1.67282 | − | 2.89742i | 0.0764333 | − | 0.132386i | −0.825275 | − | 0.564731i | \(-0.808980\pi\) |
0.901709 | + | 0.432344i | \(0.142313\pi\) | |||||||
\(480\) | −3.28621 | − | 2.04959i | −0.149994 | − | 0.0935505i | ||||
\(481\) | −7.16541 | − | 12.4109i | −0.326715 | − | 0.565886i | ||||
\(482\) | −21.9292 | + | 5.87592i | −0.998850 | + | 0.267641i | ||||
\(483\) | 4.44708 | − | 3.03158i | 0.202349 | − | 0.137942i | ||||
\(484\) | −24.8001 | + | 14.3183i | −1.12728 | + | 0.650833i | ||||
\(485\) | −0.168785 | + | 0.0941869i | −0.00766411 | + | 0.00427681i | ||||
\(486\) | −14.5944 | − | 5.47747i | −0.662017 | − | 0.248463i | ||||
\(487\) | 13.4334 | + | 3.59947i | 0.608726 | + | 0.163108i | 0.549998 | − | 0.835166i | \(-0.314629\pi\) |
0.0587288 | + | 0.998274i | \(0.481295\pi\) | |||||||
\(488\) | −8.74043 | + | 8.74043i | −0.395661 | + | 0.395661i | ||||
\(489\) | −26.7601 | − | 7.73116i | −1.21013 | − | 0.349615i | ||||
\(490\) | 14.7044 | + | 5.36471i | 0.664278 | + | 0.242353i | ||||
\(491\) | −31.2490 | − | 18.0416i | −1.41025 | − | 0.814207i | −0.414836 | − | 0.909896i | \(-0.636161\pi\) |
−0.995411 | + | 0.0956893i | \(0.969494\pi\) | |||||||
\(492\) | −10.4106 | + | 5.74356i | −0.469346 | + | 0.258940i | ||||
\(493\) | −3.87355 | + | 1.03791i | −0.174456 | + | 0.0467453i | ||||
\(494\) | 4.67056 | + | 8.08965i | 0.210139 | + | 0.363971i | ||||
\(495\) | −28.2235 | − | 31.4179i | −1.26855 | − | 1.41213i | ||||
\(496\) | 3.20319 | 0.143828 | ||||||||
\(497\) | 24.7280 | + | 4.18390i | 1.10920 | + | 0.187674i | ||||
\(498\) | −0.607727 | + | 31.2432i | −0.0272329 | + | 1.40004i | ||||
\(499\) | −30.9349 | + | 17.8603i | −1.38484 | + | 0.799535i | −0.992727 | − | 0.120383i | \(-0.961588\pi\) |
−0.392109 | + | 0.919919i | \(0.628254\pi\) | |||||||
\(500\) | 8.24452 | − | 7.55168i | 0.368706 | − | 0.337721i | ||||
\(501\) | 5.50472 | + | 1.59035i | 0.245933 | + | 0.0710515i | ||||
\(502\) | 5.56718 | − | 5.56718i | 0.248475 | − | 0.248475i | ||||
\(503\) | 18.8085 | − | 18.8085i | 0.838628 | − | 0.838628i | −0.150050 | − | 0.988678i | \(-0.547944\pi\) |
0.988678 | + | 0.150050i | \(0.0479436\pi\) | |||||||
\(504\) | −3.58269 | + | 7.08268i | −0.159586 | + | 0.315488i | ||||
\(505\) | 24.5829 | − | 6.20346i | 1.09392 | − | 0.276050i | ||||
\(506\) | 7.39420i | 0.328712i | ||||||||
\(507\) | −38.3848 | − | 0.746643i | −1.70473 | − | 0.0331596i | ||||
\(508\) | 8.24335 | + | 8.24335i | 0.365740 | + | 0.365740i | ||||
\(509\) | 13.8762 | + | 24.0343i | 0.615052 | + | 1.06530i | 0.990375 | + | 0.138408i | \(0.0441984\pi\) |
−0.375323 | + | 0.926894i | \(0.622468\pi\) | |||||||
\(510\) | 12.2845 | − | 11.4749i | 0.543965 | − | 0.508117i | ||||
\(511\) | −14.4004 | − | 6.59405i | −0.637038 | − | 0.291704i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −4.49892 | + | 6.83775i | −0.198632 | + | 0.301894i | ||||
\(514\) | −12.0533 | + | 6.95899i | −0.531649 | + | 0.306948i | ||||
\(515\) | 4.93506 | + | 8.84371i | 0.217465 | + | 0.389701i | ||||
\(516\) | 2.25127 | + | 2.34058i | 0.0991065 | + | 0.103039i | ||||
\(517\) | 9.53102 | + | 35.5702i | 0.419174 | + | 1.56438i | ||||
\(518\) | −4.92629 | − | 4.07586i | −0.216449 | − | 0.179083i | ||||
\(519\) | −9.79254 | + | 2.42081i | −0.429845 | + | 0.106262i | ||||
\(520\) | −3.24445 | − | 12.8570i | −0.142278 | − | 0.563816i | ||||
\(521\) | 31.4799 | − | 18.1749i | 1.37916 | − | 0.796257i | 0.387100 | − | 0.922038i | \(-0.373477\pi\) |
0.992058 | + | 0.125780i | \(0.0401434\pi\) | |||||||
\(522\) | −2.70322 | + | 0.612732i | −0.118317 | + | 0.0268186i | ||||
\(523\) | 28.4540 | − | 7.62423i | 1.24421 | − | 0.333384i | 0.424111 | − | 0.905610i | \(-0.360587\pi\) |
0.820096 | + | 0.572226i | \(0.193920\pi\) | |||||||
\(524\) | 2.87120 | + | 4.97306i | 0.125429 | + | 0.217249i | ||||
\(525\) | −16.9223 | − | 15.4478i | −0.738549 | − | 0.674199i | ||||
\(526\) | 2.70571 | − | 4.68642i | 0.117974 | − | 0.204338i | ||||
\(527\) | −3.59836 | + | 13.4293i | −0.156747 | + | 0.584989i | ||||
\(528\) | −5.26760 | − | 9.54789i | −0.229243 | − | 0.415519i | ||||
\(529\) | −18.7240 | − | 10.8103i | −0.814087 | − | 0.470013i | ||||
\(530\) | 13.1831 | + | 3.73967i | 0.572636 | + | 0.162441i | ||||
\(531\) | 11.6360 | + | 22.0965i | 0.504960 | + | 0.958906i | ||||
\(532\) | 3.21106 | + | 2.65673i | 0.139217 | + | 0.115184i | ||||
\(533\) | −39.3206 | − | 10.5359i | −1.70316 | − | 0.456361i | ||||
\(534\) | −22.2249 | − | 6.42092i | −0.961765 | − | 0.277860i | ||||
\(535\) | 1.21399 | − | 2.03349i | 0.0524855 | − | 0.0879156i | ||||
\(536\) | − | 6.39112i | − | 0.276055i | ||||||
\(537\) | −0.195628 | + | 10.0572i | −0.00844198 | + | 0.434002i | ||||
\(538\) | 7.25658 | − | 27.0819i | 0.312853 | − | 1.16759i | ||||
\(539\) | 28.7926 | + | 33.3644i | 1.24018 | + | 1.43711i | ||||
\(540\) | 8.79286 | − | 7.59510i | 0.378385 | − | 0.326841i | ||||
\(541\) | 2.92530 | − | 5.06677i | 0.125769 | − | 0.217838i | −0.796265 | − | 0.604949i | \(-0.793194\pi\) |
0.922033 | + | 0.387111i | \(0.126527\pi\) | |||||||
\(542\) | 8.49910 | − | 2.27733i | 0.365068 | − | 0.0978196i | ||||
\(543\) | −7.90513 | − | 4.77138i | −0.339242 | − | 0.204760i | ||||
\(544\) | 3.75886 | − | 2.17018i | 0.161160 | − | 0.0930457i | ||||
\(545\) | 0.141943 | − | 0.500379i | 0.00608019 | − | 0.0214339i | ||||
\(546\) | −25.6505 | + | 8.97380i | −1.09774 | + | 0.384043i | ||||
\(547\) | 33.3167 | + | 8.92718i | 1.42452 | + | 0.381699i | 0.887085 | − | 0.461607i | \(-0.152727\pi\) |
0.537434 | + | 0.843306i | \(0.319394\pi\) | |||||||
\(548\) | −1.05479 | − | 3.93655i | −0.0450586 | − | 0.168161i | ||||
\(549\) | −17.2784 | − | 32.8112i | −0.737422 | − | 1.40035i | ||||
\(550\) | 30.6313 | − | 7.25543i | 1.30612 | − | 0.309372i | ||||
\(551\) | 1.45539i | 0.0620017i | ||||||||
\(552\) | −2.03386 | − | 0.0395616i | −0.0865668 | − | 0.00168385i | ||||
\(553\) | 34.7386 | + | 5.87767i | 1.47723 | + | 0.249944i | ||||
\(554\) | 6.75498 | − | 11.7000i | 0.286992 | − | 0.497084i | ||||
\(555\) | 4.40106 | + | 8.26031i | 0.186814 | + | 0.350631i | ||||
\(556\) | −0.807308 | + | 1.39830i | −0.0342375 | + | 0.0593011i | ||||
\(557\) | −9.37795 | + | 34.9990i | −0.397356 | + | 1.48295i | 0.420373 | + | 0.907351i | \(0.361899\pi\) |
−0.817729 | + | 0.575603i | \(0.804767\pi\) | |||||||
\(558\) | −2.84623 | + | 9.17840i | −0.120490 | + | 0.388553i | ||||
\(559\) | 11.1187i | 0.470271i | ||||||||
\(560\) | −3.35597 | − | 4.87211i | −0.141815 | − | 0.205884i | ||||
\(561\) | 45.9467 | − | 11.3584i | 1.93987 | − | 0.479554i | ||||
\(562\) | 16.1149 | + | 4.31797i | 0.679766 | + | 0.182143i | ||||
\(563\) | 10.7610 | − | 10.7610i | 0.453523 | − | 0.453523i | −0.442999 | − | 0.896522i | \(-0.646086\pi\) |
0.896522 | + | 0.442999i | \(0.146086\pi\) | |||||||
\(564\) | −9.83501 | + | 2.43130i | −0.414128 | + | 0.102376i | ||||
\(565\) | −29.2398 | − | 17.4561i | −1.23013 | − | 0.734384i | ||||
\(566\) | − | 13.7363i | − | 0.577380i | ||||||
\(567\) | −17.1112 | − | 16.5592i | −0.718603 | − | 0.695420i | ||||
\(568\) | −6.70276 | − | 6.70276i | −0.281241 | − | 0.281241i | ||||
\(569\) | 13.4096 | 0.562160 | 0.281080 | − | 0.959684i | \(-0.409307\pi\) | ||||
0.281080 | + | 0.959684i | \(0.409307\pi\) | |||||||
\(570\) | −2.86870 | − | 5.38424i | −0.120157 | − | 0.225521i | ||||
\(571\) | 12.1254 | 0.507434 | 0.253717 | − | 0.967278i | \(-0.418347\pi\) | ||||
0.253717 | + | 0.967278i | \(0.418347\pi\) | |||||||
\(572\) | 9.66283 | − | 36.0622i | 0.404023 | − | 1.50783i | ||||
\(573\) | 1.17453 | − | 1.94594i | 0.0490668 | − | 0.0812929i | ||||
\(574\) | −18.0816 | + | 1.70815i | −0.754710 | + | 0.0712968i | ||||
\(575\) | 1.68496 | − | 5.62543i | 0.0702678 | − | 0.234597i | ||||
\(576\) | 2.65444 | − | 1.39783i | 0.110602 | − | 0.0582429i | ||||
\(577\) | 45.2410 | + | 12.1223i | 1.88341 | + | 0.504657i | 0.999301 | + | 0.0373702i | \(0.0118981\pi\) |
0.884106 | + | 0.467287i | \(0.154769\pi\) | |||||||
\(578\) | 0.475896 | + | 1.77607i | 0.0197946 | + | 0.0738746i | ||||
\(579\) | 0.270344 | + | 1.09358i | 0.0112351 | + | 0.0454478i | ||||
\(580\) | 0.563812 | − | 1.98755i | 0.0234110 | − | 0.0825285i | ||||
\(581\) | −19.8732 | + | 43.4001i | −0.824478 | + | 1.80054i | ||||
\(582\) | 0.00291170 | − | 0.149690i | 0.000120694 | − | 0.00620486i | ||||
\(583\) | 27.2817 | + | 27.2817i | 1.12989 | + | 1.12989i | ||||
\(584\) | 2.99317 | + | 5.18432i | 0.123858 | + | 0.214529i | ||||
\(585\) | 39.7232 | + | 2.12759i | 1.64235 | + | 0.0879649i | ||||
\(586\) | −2.81149 | + | 4.86964i | −0.116142 | + | 0.201163i | ||||
\(587\) | 1.68871 | − | 6.30235i | 0.0697005 | − | 0.260126i | −0.922279 | − | 0.386525i | \(-0.873675\pi\) |
0.991979 | + | 0.126399i | \(0.0403420\pi\) | |||||||
\(588\) | −9.33131 | + | 7.74122i | −0.384817 | + | 0.319243i | ||||
\(589\) | 4.36972 | + | 2.52286i | 0.180051 | + | 0.103953i | ||||
\(590\) | −18.6118 | − | 0.271959i | −0.766236 | − | 0.0111964i | ||||
\(591\) | 2.60782 | + | 10.5490i | 0.107271 | + | 0.433929i | ||||
\(592\) | 0.625472 | + | 2.33429i | 0.0257067 | + | 0.0959388i | ||||
\(593\) | 2.13956 | + | 7.98493i | 0.0878610 | + | 0.327902i | 0.995841 | − | 0.0911127i | \(-0.0290423\pi\) |
−0.907980 | + | 0.419014i | \(0.862376\pi\) | |||||||
\(594\) | 32.0390 | − | 6.60986i | 1.31458 | − | 0.271206i | ||||
\(595\) | 24.1962 | − | 8.59660i | 0.991945 | − | 0.352426i | ||||
\(596\) | −6.91592 | + | 3.99291i | −0.283287 | + | 0.163556i | ||||
\(597\) | 15.5163 | + | 0.301815i | 0.635040 | + | 0.0123525i | ||||
\(598\) | −4.92478 | − | 4.92478i | −0.201389 | − | 0.201389i | ||||
\(599\) | 5.64607 | 0.230692 | 0.115346 | − | 0.993325i | \(-0.463202\pi\) | ||||
0.115346 | + | 0.993325i | \(0.463202\pi\) | |||||||
\(600\) | 1.83180 | + | 8.46431i | 0.0747830 | + | 0.345554i | ||||
\(601\) | 6.35844 | + | 11.0131i | 0.259366 | + | 0.449236i | 0.966072 | − | 0.258272i | \(-0.0831530\pi\) |
−0.706706 | + | 0.707507i | \(0.749820\pi\) | |||||||
\(602\) | 1.72889 | + | 4.64968i | 0.0704644 | + | 0.189507i | ||||
\(603\) | 18.3131 | + | 5.67889i | 0.745766 | + | 0.231262i | ||||
\(604\) | 4.62868 | + | 2.67237i | 0.188338 | + | 0.108737i | ||||
\(605\) | 61.6028 | + | 17.4750i | 2.50451 | + | 0.710460i | ||||
\(606\) | −5.45084 | + | 18.8671i | −0.221425 | + | 0.766425i | ||||
\(607\) | 16.0087 | + | 4.28953i | 0.649774 | + | 0.174106i | 0.568627 | − | 0.822596i | \(-0.307475\pi\) |
0.0811474 | + | 0.996702i | \(0.474142\pi\) | |||||||
\(608\) | −0.407696 | − | 1.52154i | −0.0165342 | − | 0.0617066i | ||||
\(609\) | −4.16012 | − | 0.787393i | −0.168577 | − | 0.0319068i | ||||
\(610\) | 27.6367 | + | 0.403833i | 1.11898 | + | 0.0163507i | ||||
\(611\) | −30.0390 | − | 17.3430i | −1.21525 | − | 0.701623i | ||||
\(612\) | 2.87844 | + | 12.6989i | 0.116354 | + | 0.513324i | ||||
\(613\) | 7.55823 | − | 28.2077i | 0.305274 | − | 1.13930i | −0.627435 | − | 0.778669i | \(-0.715895\pi\) |
0.932709 | − | 0.360629i | \(-0.117438\pi\) | |||||||
\(614\) | −6.66347 | −0.268916 | ||||||||
\(615\) | 25.4314 | + | 7.75163i | 1.02549 | + | 0.312576i | ||||
\(616\) | −1.56660 | − | 16.5832i | −0.0631201 | − | 0.668156i | ||||
\(617\) | 18.1977 | − | 4.87605i | 0.732610 | − | 0.196302i | 0.126819 | − | 0.991926i | \(-0.459523\pi\) |
0.605791 | + | 0.795624i | \(0.292857\pi\) | |||||||
\(618\) | −7.84324 | − | 0.152563i | −0.315501 | − | 0.00613697i | ||||
\(619\) | −3.20771 | − | 1.85197i | −0.128929 | − | 0.0744370i | 0.434148 | − | 0.900841i | \(-0.357049\pi\) |
−0.563077 | + | 0.826404i | \(0.690383\pi\) | |||||||
\(620\) | −4.99016 | − | 5.13815i | −0.200409 | − | 0.206353i | ||||
\(621\) | 1.92056 | − | 5.79265i | 0.0770696 | − | 0.232451i | ||||
\(622\) | 14.8697 | − | 14.8697i | 0.596220 | − | 0.596220i | ||||
\(623\) | −27.2267 | − | 22.5266i | −1.09082 | − | 0.902508i | ||||
\(624\) | 9.86762 | + | 2.85082i | 0.395021 | + | 0.114124i | ||||
\(625\) | −24.9573 | − | 1.46028i | −0.998293 | − | 0.0584114i | ||||
\(626\) | − | 0.406255i | − | 0.0162372i | ||||||
\(627\) | 0.334056 | − | 17.1738i | 0.0133409 | − | 0.685856i | ||||
\(628\) | 16.0894 | + | 16.0894i | 0.642036 | + | 0.642036i | ||||
\(629\) | −10.4891 | −0.418227 | ||||||||
\(630\) | 16.9425 | − | 5.28699i | 0.675005 | − | 0.210639i | ||||
\(631\) | −21.5905 | −0.859502 | −0.429751 | − | 0.902947i | \(-0.641399\pi\) | ||||
−0.429751 | + | 0.902947i | \(0.641399\pi\) | |||||||
\(632\) | −9.41623 | − | 9.41623i | −0.374558 | − | 0.374558i | ||||
\(633\) | 3.97180 | − | 2.19125i | 0.157865 | − | 0.0870944i | ||||
\(634\) | − | 9.30159i | − | 0.369413i | ||||||
\(635\) | 0.380867 | − | 26.0650i | 0.0151142 | − | 1.03436i | ||||
\(636\) | −7.65011 | + | 7.35818i | −0.303347 | + | 0.291771i | ||||
\(637\) | −41.3986 | − | 3.04497i | −1.64027 | − | 0.120646i | ||||
\(638\) | 4.11313 | − | 4.11313i | 0.162840 | − | 0.162840i | ||||
\(639\) | 25.1618 | − | 13.2502i | 0.995386 | − | 0.524170i | ||||
\(640\) | −0.0326704 | + | 2.23583i | −0.00129141 | + | 0.0883789i | ||||
\(641\) | 1.34965 | + | 0.779223i | 0.0533081 | + | 0.0307774i | 0.526417 | − | 0.850226i | \(-0.323535\pi\) |
−0.473109 | + | 0.881004i | \(0.656868\pi\) | |||||||
\(642\) | 0.886171 | + | 1.60625i | 0.0349744 | + | 0.0633935i | ||||
\(643\) | 8.46183 | − | 2.26734i | 0.333702 | − | 0.0894152i | −0.0880774 | − | 0.996114i | \(-0.528072\pi\) |
0.421780 | + | 0.906698i | \(0.361406\pi\) | |||||||
\(644\) | −2.82525 | − | 1.29370i | −0.111330 | − | 0.0509789i | ||||
\(645\) | 0.247288 | − | 7.25752i | 0.00973696 | − | 0.285764i | ||||
\(646\) | 6.83700 | 0.268998 | ||||||||
\(647\) | 3.76645 | − | 14.0566i | 0.148074 | − | 0.552621i | −0.851525 | − | 0.524314i | \(-0.824322\pi\) |
0.999599 | − | 0.0283070i | \(-0.00901159\pi\) | |||||||
\(648\) | 1.64670 | + | 8.84807i | 0.0646885 | + | 0.347585i | ||||
\(649\) | −45.3867 | − | 26.2040i | −1.78158 | − | 1.02860i | ||||
\(650\) | −15.5691 | + | 25.2338i | −0.610670 | + | 0.989752i | ||||
\(651\) | −9.57551 | + | 11.1256i | −0.375294 | + | 0.436047i | ||||
\(652\) | 4.16228 | + | 15.5338i | 0.163007 | + | 0.608351i | ||||
\(653\) | −27.7389 | − | 7.43262i | −1.08551 | − | 0.290861i | −0.328657 | − | 0.944449i | \(-0.606596\pi\) |
−0.756850 | + | 0.653588i | \(0.773263\pi\) | |||||||
\(654\) | 0.279288 | + | 0.290369i | 0.0109210 | + | 0.0113543i | ||||
\(655\) | 3.50420 | − | 12.3530i | 0.136920 | − | 0.482671i | ||||
\(656\) | 5.94493 | + | 3.43231i | 0.232111 | + | 0.134009i | ||||
\(657\) | −17.5147 | + | 3.97002i | −0.683314 | + | 0.154885i | ||||
\(658\) | −15.2586 | − | 2.58171i | −0.594842 | − | 0.100646i | ||||
\(659\) | 9.41467 | + | 16.3067i | 0.366743 | + | 0.635218i | 0.989054 | − | 0.147552i | \(-0.0471393\pi\) |
−0.622311 | + | 0.782770i | \(0.713806\pi\) | |||||||
\(660\) | −7.10927 | + | 23.3240i | −0.276728 | + | 0.907885i | ||||
\(661\) | 7.26978 | 0.282762 | 0.141381 | − | 0.989955i | \(-0.454846\pi\) | ||||
0.141381 | + | 0.989955i | \(0.454846\pi\) | |||||||
\(662\) | −18.4537 | − | 18.4537i | −0.717222 | − | 0.717222i | ||||
\(663\) | −23.0369 | + | 38.1671i | −0.894680 | + | 1.48229i | ||||
\(664\) | 15.6245 | − | 9.02083i | 0.606350 | − | 0.350076i | ||||
\(665\) | −0.740816 | − | 9.28960i | −0.0287276 | − | 0.360235i | ||||
\(666\) | −7.24443 | − | 0.281937i | −0.280716 | − | 0.0109248i | ||||
\(667\) | −0.280852 | − | 1.04816i | −0.0108746 | − | 0.0405847i | ||||
\(668\) | −0.856206 | − | 3.19541i | −0.0331276 | − | 0.123634i | ||||
\(669\) | 31.3247 | − | 30.1293i | 1.21108 | − | 1.16487i | ||||
\(670\) | −10.2518 | + | 9.95653i | −0.396062 | + | 0.384654i | ||||
\(671\) | 67.3949 | + | 38.9105i | 2.60175 | + | 1.50212i | ||||
\(672\) | 4.56978 | − | 0.342185i | 0.176283 | − | 0.0132001i | ||||
\(673\) | 6.42725 | − | 23.9868i | 0.247752 | − | 0.924624i | −0.724228 | − | 0.689561i | \(-0.757804\pi\) |
0.971980 | − | 0.235063i | \(-0.0755297\pi\) | |||||||
\(674\) | 12.7209 | − | 22.0332i | 0.489990 | − | 0.848687i | ||||
\(675\) | −25.8812 | − | 2.27222i | −0.996168 | − | 0.0874576i | ||||
\(676\) | 11.0828 | + | 19.1961i | 0.426263 | + | 0.738310i | ||||
\(677\) | −12.5245 | − | 12.5245i | −0.481355 | − | 0.481355i | 0.424209 | − | 0.905564i | \(-0.360552\pi\) |
−0.905564 | + | 0.424209i | \(0.860552\pi\) | |||||||
\(678\) | 23.0963 | − | 12.7423i | 0.887010 | − | 0.489366i | ||||
\(679\) | 0.0952151 | − | 0.207936i | 0.00365402 | − | 0.00797984i | ||||
\(680\) | −9.33694 | − | 2.64863i | −0.358055 | − | 0.101570i | ||||
\(681\) | 41.6134 | + | 12.0224i | 1.59463 | + | 0.460699i | ||||
\(682\) | −5.21949 | − | 19.4794i | −0.199865 | − | 0.745905i | ||||
\(683\) | −19.4964 | − | 5.22405i | −0.746010 | − | 0.199893i | −0.134262 | − | 0.990946i | \(-0.542866\pi\) |
−0.611748 | + | 0.791053i | \(0.709533\pi\) | |||||||
\(684\) | 4.72207 | + | 0.183772i | 0.180553 | + | 0.00702671i | ||||
\(685\) | −4.67127 | + | 7.82459i | −0.178480 | + | 0.298962i | ||||
\(686\) | −17.7858 | + | 5.16388i | −0.679065 | + | 0.197158i | ||||
\(687\) | −15.8753 | − | 0.308798i | −0.605680 | − | 0.0117814i | ||||
\(688\) | 0.485278 | − | 1.81108i | 0.0185010 | − | 0.0690469i | ||||
\(689\) | −36.3410 | −1.38448 | ||||||||
\(690\) | 3.10503 | + | 3.32409i | 0.118206 | + | 0.126546i | ||||
\(691\) | −34.9314 | −1.32885 | −0.664427 | − | 0.747353i | \(-0.731324\pi\) | ||||
−0.664427 | + | 0.747353i | \(0.731324\pi\) | |||||||
\(692\) | 4.11813 | + | 4.11813i | 0.156548 | + | 0.156548i | ||||
\(693\) | 48.9093 | + | 10.2462i | 1.85791 | + | 0.389222i | ||||
\(694\) | 33.6406i | 1.27698i | ||||||||
\(695\) | 3.50065 | − | 0.883386i | 0.132787 | − | 0.0335087i | ||||
\(696\) | 1.10936 | + | 1.15337i | 0.0420501 | + | 0.0437185i | ||||
\(697\) | −21.0682 | + | 21.0682i | −0.798014 | + | 0.798014i | ||||
\(698\) | 18.9396 | + | 5.07484i | 0.716873 | + | 0.192086i | ||||
\(699\) | 10.2017 | − | 35.3115i | 0.385864 | − | 1.33560i | ||||
\(700\) | −2.58706 | + | 12.9733i | −0.0977818 | + | 0.490346i | ||||
\(701\) | − | 26.6507i | − | 1.00658i | −0.864117 | − | 0.503292i | \(-0.832122\pi\) | ||
0.864117 | − | 0.503292i | \(-0.167878\pi\) | |||||||
\(702\) | −16.9367 | + | 25.7415i | −0.639234 | + | 0.971549i | ||||
\(703\) | −0.985252 | + | 3.67701i | −0.0371595 | + | 0.138681i | ||||
\(704\) | −3.14788 | + | 5.45229i | −0.118640 | + | 0.205491i | ||||
\(705\) | 19.2216 | + | 11.9884i | 0.723929 | + | 0.451509i | ||||
\(706\) | 9.56488 | − | 16.5669i | 0.359979 | − | 0.623502i | ||||
\(707\) | −19.1232 | + | 23.1133i | −0.719203 | + | 0.869264i | ||||
\(708\) | 7.45056 | − | 12.3439i | 0.280009 | − | 0.463914i | ||||
\(709\) | − | 51.6335i | − | 1.93914i | −0.244817 | − | 0.969569i | \(-0.578728\pi\) | ||
0.244817 | − | 0.969569i | \(-0.421272\pi\) | |||||||
\(710\) | −0.309687 | + | 21.1937i | −0.0116223 | + | 0.795386i | ||||
\(711\) | 35.3481 | − | 18.6143i | 1.32566 | − | 0.698091i | ||||
\(712\) | 3.45687 | + | 12.9012i | 0.129552 | + | 0.483494i | ||||
\(713\) | −3.63387 | − | 0.973693i | −0.136090 | − | 0.0364651i | ||||
\(714\) | −3.69895 | + | 19.5431i | −0.138430 | + | 0.731380i | ||||
\(715\) | −72.8997 | + | 40.6802i | −2.72629 | + | 1.52135i | ||||
\(716\) | 5.02957 | − | 2.90382i | 0.187964 | − | 0.108521i | ||||
\(717\) | −8.99317 | + | 4.96156i | −0.335856 | + | 0.185293i | ||||
\(718\) | −12.0115 | + | 3.21848i | −0.448266 | + | 0.120113i | ||||
\(719\) | −6.06041 | + | 10.4969i | −0.226015 | + | 0.391469i | −0.956623 | − | 0.291327i | \(-0.905903\pi\) |
0.730608 | + | 0.682797i | \(0.239237\pi\) | |||||||
\(720\) | −6.37749 | − | 2.08028i | −0.237675 | − | 0.0775275i | ||||
\(721\) | −10.8951 | − | 4.98893i | −0.405755 | − | 0.185798i | ||||
\(722\) | −4.27535 | + | 15.9558i | −0.159112 | + | 0.593815i | ||||
\(723\) | −34.4302 | + | 18.9952i | −1.28047 | + | 0.706440i | ||||
\(724\) | 5.33095i | 0.198123i | ||||||||
\(725\) | −4.06652 | + | 2.19195i | −0.151027 | + | 0.0814068i | ||||
\(726\) | −35.7480 | + | 34.3839i | −1.32673 | + | 1.27610i | ||||
\(727\) | −28.9765 | − | 7.76423i | −1.07468 | − | 0.287959i | −0.322265 | − | 0.946649i | \(-0.604444\pi\) |
−0.752414 | + | 0.658690i | \(0.771111\pi\) | |||||||
\(728\) | 12.0884 | + | 10.0016i | 0.448025 | + | 0.370682i | ||||
\(729\) | −26.8164 | − | 3.14360i | −0.993199 | − | 0.116430i | ||||
\(730\) | 3.65306 | − | 12.8778i | 0.135206 | − | 0.476627i | ||||
\(731\) | 7.04775 | + | 4.06902i | 0.260671 | + | 0.150498i | ||||
\(732\) | −11.0634 | + | 18.3296i | −0.408914 | + | 0.677480i | ||||
\(733\) | 1.12373 | − | 4.19382i | 0.0415059 | − | 0.154902i | −0.942063 | − | 0.335437i | \(-0.891116\pi\) |
0.983569 | + | 0.180535i | \(0.0577828\pi\) | |||||||
\(734\) | −0.878448 | + | 1.52152i | −0.0324241 | + | 0.0561602i | ||||
\(735\) | 26.9544 | + | 2.90829i | 0.994230 | + | 0.107274i | ||||
\(736\) | 0.587236 | + | 1.01712i | 0.0216458 | + | 0.0374916i | ||||
\(737\) | −38.8660 | + | 10.4141i | −1.43165 | + | 0.383608i | ||||
\(738\) | −15.1173 | + | 13.9847i | −0.556477 | + | 0.514786i | ||||
\(739\) | 18.6590 | − | 10.7728i | 0.686382 | − | 0.396283i | −0.115873 | − | 0.993264i | \(-0.536967\pi\) |
0.802255 | + | 0.596981i | \(0.203633\pi\) | |||||||
\(740\) | 2.76997 | − | 4.63982i | 0.101826 | − | 0.170563i | ||||
\(741\) | 11.2158 | + | 11.6608i | 0.412024 | + | 0.428371i | ||||
\(742\) | −15.1973 | + | 5.65082i | −0.557910 | + | 0.207448i | ||||
\(743\) | 4.26833 | + | 15.9296i | 0.156590 | + | 0.584401i | 0.998964 | + | 0.0455079i | \(0.0144906\pi\) |
−0.842374 | + | 0.538893i | \(0.818843\pi\) | |||||||
\(744\) | 5.38596 | − | 1.33146i | 0.197459 | − | 0.0488137i | ||||
\(745\) | 17.1790 | + | 4.87320i | 0.629390 | + | 0.178540i | ||||
\(746\) | −10.9446 | + | 6.31886i | −0.400710 | + | 0.231350i | ||||
\(747\) | 11.9649 | + | 52.7860i | 0.437772 | + | 1.93134i | ||||
\(748\) | −19.3223 | − | 19.3223i | −0.706494 | − | 0.706494i | ||||
\(749\) | 0.263550 | + | 2.78980i | 0.00962989 | + | 0.101937i | ||||
\(750\) | 10.7236 | − | 16.1246i | 0.391572 | − | 0.588788i | ||||
\(751\) | −8.13144 | − | 14.0841i | −0.296721 | − | 0.513935i | 0.678663 | − | 0.734450i | \(-0.262560\pi\) |
−0.975384 | + | 0.220515i | \(0.929226\pi\) | |||||||
\(752\) | 4.13599 | + | 4.13599i | 0.150824 | + | 0.150824i | ||||
\(753\) | 7.04676 | − | 11.6749i | 0.256798 | − | 0.425458i | ||||
\(754\) | 5.47897i | 0.199532i | ||||||||
\(755\) | −2.92420 | − | 11.5879i | −0.106423 | − | 0.421728i | ||||
\(756\) | −3.08003 | + | 13.3983i | −0.112020 | + | 0.487290i | ||||
\(757\) | 17.7496 | − | 17.7496i | 0.645121 | − | 0.645121i | −0.306689 | − | 0.951810i | \(-0.599221\pi\) |
0.951810 | + | 0.306689i | \(0.0992212\pi\) | |||||||
\(758\) | 16.9500 | − | 16.9500i | 0.615651 | − | 0.615651i | ||||
\(759\) | 3.07352 | + | 12.4329i | 0.111562 | + | 0.451284i | ||||
\(760\) | −1.80552 | + | 3.02433i | −0.0654932 | + | 0.109704i | ||||
\(761\) | 31.2162 | − | 18.0227i | 1.13159 | − | 0.653321i | 0.187252 | − | 0.982312i | \(-0.440042\pi\) |
0.944333 | + | 0.328991i | \(0.106709\pi\) | |||||||
\(762\) | 17.2871 | + | 10.4342i | 0.626247 | + | 0.377990i | ||||
\(763\) | 0.214483 | + | 0.576831i | 0.00776482 | + | 0.0208827i | ||||
\(764\) | −1.31228 | −0.0474766 | ||||||||
\(765\) | 15.8858 | − | 24.4005i | 0.574351 | − | 0.882202i | ||||
\(766\) | 7.60048 | + | 13.1644i | 0.274616 | + | 0.475650i | ||||
\(767\) | 47.6818 | − | 12.7763i | 1.72169 | − | 0.461326i | ||||
\(768\) | −1.48287 | − | 0.895033i | −0.0535086 | − | 0.0322967i | ||||
\(769\) | 8.44111 | + | 4.87348i | 0.304394 | + | 0.175742i | 0.644415 | − | 0.764676i | \(-0.277101\pi\) |
−0.340021 | + | 0.940418i | \(0.610434\pi\) | |||||||
\(770\) | −24.1601 | + | 28.3474i | −0.870669 | + | 1.02157i | ||||
\(771\) | −17.3742 | + | 16.7112i | −0.625718 | + | 0.601840i | ||||
\(772\) | 0.459893 | − | 0.459893i | 0.0165519 | − | 0.0165519i | ||||
\(773\) | −18.7358 | − | 5.02024i | −0.673880 | − | 0.180566i | −0.0943779 | − | 0.995536i | \(-0.530086\pi\) |
−0.579502 | + | 0.814971i | \(0.696753\pi\) | |||||||
\(774\) | 4.75826 | + | 2.99976i | 0.171032 | + | 0.107824i | ||||
\(775\) | −0.467957 | + | 16.0091i | −0.0168095 | + | 0.575065i | ||||
\(776\) | −0.0748593 | + | 0.0432200i | −0.00268729 | + | 0.00155151i | ||||
\(777\) | −9.97742 | − | 4.80560i | −0.357938 | − | 0.172400i | ||||
\(778\) | 8.62873 | − | 2.31206i | 0.309355 | − | 0.0828915i | ||||
\(779\) | 5.40662 | + | 9.36455i | 0.193712 | + | 0.335520i | ||||
\(780\) | −10.7995 | − | 20.2696i | −0.386685 | − | 0.725767i | ||||
\(781\) | −29.8392 | + | 51.6830i | −1.06773 | + | 1.84936i | ||||
\(782\) | −4.92393 | + | 1.31936i | −0.176079 | + | 0.0471803i | ||||
\(783\) | −4.29059 | + | 2.15391i | −0.153333 | + | 0.0769743i | ||||
\(784\) | 6.61037 | + | 2.30284i | 0.236085 | + | 0.0822442i | ||||
\(785\) | 0.743376 | − | 50.8737i | 0.0265322 | − | 1.81576i | ||||
\(786\) | 6.89487 | + | 7.16842i | 0.245932 | + | 0.255689i | ||||
\(787\) | 4.70519 | − | 4.70519i | 0.167722 | − | 0.167722i | −0.618255 | − | 0.785977i | \(-0.712160\pi\) |
0.785977 | + | 0.618255i | \(0.212160\pi\) | |||||||
\(788\) | 4.43627 | − | 4.43627i | 0.158036 | − | 0.158036i | ||||
\(789\) | 2.60148 | − | 9.00458i | 0.0926152 | − | 0.320572i | ||||
\(790\) | −0.435057 | + | 29.7736i | −0.0154786 | + | 1.05930i | ||||
\(791\) | 40.1147 | − | 3.78960i | 1.42632 | − | 0.134743i | ||||
\(792\) | −12.8259 | − | 13.8646i | −0.455747 | − | 0.492657i | ||||
\(793\) | −70.8029 | + | 18.9716i | −2.51429 | + | 0.673701i | ||||
\(794\) | −3.58011 | + | 6.20094i | −0.127053 | + | 0.220063i | ||||
\(795\) | 23.7209 | + | 0.808252i | 0.841294 | + | 0.0286657i | ||||
\(796\) | −4.48002 | − | 7.75962i | −0.158790 | − | 0.275032i | ||||
\(797\) | −25.4066 | + | 6.80768i | −0.899948 | + | 0.241140i | −0.678994 | − | 0.734144i | \(-0.737584\pi\) |
−0.220954 | + | 0.975284i | \(0.570917\pi\) | |||||||
\(798\) | 6.50349 | + | 3.13239i | 0.230221 | + | 0.110886i | ||||
\(799\) | −21.9862 | + | 12.6938i | −0.777817 | + | 0.449073i | ||||
\(800\) | 3.63733 | − | 3.43072i | 0.128599 | − | 0.121294i | ||||
\(801\) | −40.0387 | − | 1.55821i | −1.41470 | − | 0.0550568i | ||||
\(802\) | 6.10922 | + | 1.63696i | 0.215724 | + | 0.0578031i | ||||
\(803\) | 26.6499 | − | 26.6499i | 0.940453 | − | 0.940453i | ||||
\(804\) | −2.65657 | − | 10.7463i | −0.0936901 | − | 0.378991i | ||||
\(805\) | 2.32618 | + | 6.54731i | 0.0819871 | + | 0.230762i | ||||
\(806\) | 16.4503 | + | 9.49758i | 0.579437 | + | 0.334538i | ||||
\(807\) | 0.944425 | − | 48.5528i | 0.0332453 | − | 1.70914i | ||||
\(808\) | 10.9521 | − | 2.93460i | 0.385293 | − | 0.103239i | ||||
\(809\) | −21.7494 | − | 37.6710i | −0.764667 | − | 1.32444i | −0.940422 | − | 0.340009i | \(-0.889570\pi\) |
0.175755 | − | 0.984434i | \(-0.443763\pi\) | |||||||
\(810\) | 11.6276 | − | 16.4256i | 0.408552 | − | 0.577135i | ||||
\(811\) | −0.175349 | −0.00615732 | −0.00307866 | − | 0.999995i | \(-0.500980\pi\) | ||||
−0.00307866 | + | 0.999995i | \(0.500980\pi\) | |||||||
\(812\) | 0.851948 | + | 2.29123i | 0.0298975 | + | 0.0804063i | ||||
\(813\) | 13.3441 | − | 7.36196i | 0.467997 | − | 0.258195i | ||||
\(814\) | 13.1762 | − | 7.60729i | 0.461826 | − | 0.266635i | ||||
\(815\) | 18.4331 | − | 30.8762i | 0.645683 | − | 1.08155i | ||||
\(816\) | 5.41821 | − | 5.21145i | 0.189675 | − | 0.182437i | ||||
\(817\) | 2.08843 | − | 2.08843i | 0.0730648 | − | 0.0730648i | ||||
\(818\) | 4.34034 | − | 4.34034i | 0.151757 | − | 0.151757i | ||||
\(819\) | −39.3996 | + | 25.7509i | −1.37673 | + | 0.899810i | ||||
\(820\) | −3.75576 | − | 14.8832i | −0.131157 | − | 0.519743i | ||||
\(821\) | − | 9.65918i | − | 0.337108i | −0.985692 | − | 0.168554i | \(-0.946090\pi\) | ||
0.985692 | − | 0.168554i | \(-0.0539097\pi\) | |||||||
\(822\) | −3.40986 | − | 6.18061i | −0.118932 | − | 0.215573i | ||||
\(823\) | −0.382332 | − | 0.382332i | −0.0133273 | − | 0.0133273i | 0.700412 | − | 0.713739i | \(-0.253000\pi\) |
−0.713739 | + | 0.700412i | \(0.753000\pi\) | |||||||
\(824\) | 2.26458 | + | 3.92236i | 0.0788903 | + | 0.136642i | ||||
\(825\) | 48.4886 | − | 24.9319i | 1.68816 | − | 0.868018i | ||||
\(826\) | 17.9532 | − | 12.7571i | 0.624672 | − | 0.443877i | ||||
\(827\) | −10.0375 | − | 10.0375i | −0.349039 | − | 0.349039i | 0.510713 | − | 0.859751i | \(-0.329382\pi\) |
−0.859751 | + | 0.510713i | \(0.829382\pi\) | |||||||
\(828\) | −3.43625 | + | 0.778886i | −0.119418 | + | 0.0270682i | ||||
\(829\) | −10.9598 | + | 6.32766i | −0.380651 | + | 0.219769i | −0.678101 | − | 0.734968i | \(-0.737197\pi\) |
0.297451 | + | 0.954737i | \(0.403864\pi\) | |||||||
\(830\) | −38.8110 | − | 11.0096i | −1.34715 | − | 0.382149i | ||||
\(831\) | 6.49478 | − | 22.4805i | 0.225301 | − | 0.779842i | ||||
\(832\) | −1.53481 | − | 5.72800i | −0.0532101 | − | 0.198583i | ||||
\(833\) | −17.0804 | + | 25.1268i | −0.591802 | + | 0.870592i | ||||
\(834\) | −0.776210 | + | 2.68672i | −0.0268780 | + | 0.0930334i | ||||
\(835\) | −3.79180 | + | 6.35144i | −0.131221 | + | 0.219801i | ||||
\(836\) | −8.58853 | + | 4.95859i | −0.297041 | + | 0.171496i | ||||
\(837\) | −0.970596 | + | 16.6160i | −0.0335487 | + | 0.574332i | ||||
\(838\) | −30.7512 | + | 8.23976i | −1.06228 | + | 0.284638i | ||||
\(839\) | 27.0536 | + | 46.8582i | 0.933994 | + | 1.61772i | 0.776419 | + | 0.630217i | \(0.217034\pi\) |
0.157575 | + | 0.987507i | \(0.449632\pi\) | |||||||
\(840\) | −7.66801 | − | 6.79718i | −0.264571 | − | 0.234525i | ||||
\(841\) | 14.0732 | − | 24.3755i | 0.485282 | − | 0.840533i | ||||
\(842\) | 2.08932 | − | 7.79743i | 0.0720026 | − | 0.268717i | ||||
\(843\) | 28.8910 | + | 0.561973i | 0.995058 | + | 0.0193554i | ||||
\(844\) | −2.26808 | − | 1.30948i | −0.0780705 | − | 0.0450740i | ||||
\(845\) | 13.5262 | − | 47.6826i | 0.465316 | − | 1.64033i | ||||
\(846\) | −15.5263 | + | 8.17616i | −0.533805 | + | 0.281102i | ||||
\(847\) | −71.0151 | + | 26.4056i | −2.44011 | + | 0.907306i | ||||
\(848\) | 5.91945 | + | 1.58611i | 0.203275 | + | 0.0544673i | ||||
\(849\) | −5.70972 | − | 23.0967i | −0.195957 | − | 0.792677i | ||||
\(850\) | 10.2971 | + | 19.1033i | 0.353189 | + | 0.655239i | ||||
\(851\) | − | 2.83827i | − | 0.0972947i | ||||||
\(852\) | −14.0564 | − | 8.48414i | −0.481563 | − | 0.290662i | ||||
\(853\) | 9.62299 | − | 35.9135i | 0.329485 | − | 1.22965i | −0.580241 | − | 0.814445i | \(-0.697042\pi\) |
0.909726 | − | 0.415210i | \(-0.136292\pi\) | |||||||
\(854\) | −26.6588 | + | 18.9431i | −0.912246 | + | 0.648219i | ||||
\(855\) | −7.06158 | − | 7.86083i | −0.241501 | − | 0.268835i | ||||
\(856\) | 0.529570 | − | 0.917241i | 0.0181003 | − | 0.0313507i | ||||
\(857\) | −29.6840 | + | 7.95381i | −1.01399 | + | 0.271697i | −0.727294 | − | 0.686326i | \(-0.759222\pi\) |
−0.286693 | + | 0.958023i | \(0.592556\pi\) | |||||||
\(858\) | 1.25759 | − | 64.6527i | 0.0429335 | − | 2.20721i | ||||
\(859\) | −32.1032 | + | 18.5348i | −1.09535 | + | 0.632398i | −0.934995 | − | 0.354662i | \(-0.884596\pi\) |
−0.160351 | + | 0.987060i | \(0.551263\pi\) | |||||||
\(860\) | −3.66110 | + | 2.04301i | −0.124843 | + | 0.0696660i | ||||
\(861\) | −29.6930 | + | 10.3880i | −1.01193 | + | 0.354023i | ||||
\(862\) | −23.5254 | − | 6.30361i | −0.801278 | − | 0.214702i | ||||
\(863\) | −0.0278709 | − | 0.104015i | −0.000948735 | − | 0.00354073i | 0.965450 | − | 0.260589i | \(-0.0839167\pi\) |
−0.966399 | + | 0.257048i | \(0.917250\pi\) | |||||||
\(864\) | 3.88224 | − | 3.45372i | 0.132077 | − | 0.117498i | ||||
\(865\) | 0.190270 | − | 13.0213i | 0.00646937 | − | 0.442737i | ||||
\(866\) | − | 26.3446i | − | 0.895224i | ||||||
\(867\) | 1.53844 | + | 2.78853i | 0.0522481 | + | 0.0947033i | ||||
\(868\) | 8.35609 | + | 1.41383i | 0.283624 | + | 0.0479884i | ||||
\(869\) | −41.9190 | + | 72.6058i | −1.42200 | + | 2.46298i | ||||
\(870\) | 0.121856 | − | 3.57629i | 0.00413132 | − | 0.121248i | ||||
\(871\) | 18.9499 | − | 32.8222i | 0.642093 | − | 1.11214i | ||||
\(872\) | 0.0602028 | − | 0.224680i | 0.00203872 | − | 0.00760862i | ||||
\(873\) | −0.0573253 | − | 0.252905i | −0.00194017 | − | 0.00855953i | ||||
\(874\) | 1.85004i | 0.0625787i | ||||||||
\(875\) | 24.8404 | − | 16.0609i | 0.839760 | − | 0.542957i | ||||
\(876\) | 7.18777 | + | 7.47294i | 0.242852 | + | 0.252487i | ||||
\(877\) | 37.6779 | + | 10.0958i | 1.27229 | + | 0.340910i | 0.830909 | − | 0.556408i | \(-0.187821\pi\) |
0.441384 | + | 0.897318i | \(0.354488\pi\) | |||||||
\(878\) | 9.26690 | − | 9.26690i | 0.312743 | − | 0.312743i | ||||
\(879\) | −2.70319 | + | 9.35662i | −0.0911763 | + | 0.315591i | ||||
\(880\) | 13.6499 | − | 3.44453i | 0.460136 | − | 0.116115i | ||||
\(881\) | 36.5900i | 1.23275i | 0.787454 | + | 0.616374i | \(0.211399\pi\) | ||||
−0.787454 | + | 0.616374i | \(0.788601\pi\) | |||||||
\(882\) | −12.4722 | + | 16.8951i | −0.419962 | + | 0.568887i | ||||
\(883\) | 11.2799 | + | 11.2799i | 0.379597 | + | 0.379597i | 0.870957 | − | 0.491360i | \(-0.163500\pi\) |
−0.491360 | + | 0.870957i | \(0.663500\pi\) | |||||||
\(884\) | 25.7386 | 0.865683 | ||||||||
\(885\) | −31.4076 | + | 7.27901i | −1.05575 | + | 0.244681i | ||||
\(886\) | 2.67230 | 0.0897778 | ||||||||
\(887\) | 1.04693 | − | 3.90720i | 0.0351525 | − | 0.131191i | −0.946120 | − | 0.323817i | \(-0.895034\pi\) |
0.981272 | + | 0.192626i | \(0.0617004\pi\) | |||||||
\(888\) | 2.02198 | + | 3.66497i | 0.0678531 | + | 0.122988i | ||||
\(889\) | 17.8658 | + | 25.1427i | 0.599199 | + | 0.843259i | ||||
\(890\) | 15.3091 | − | 25.6435i | 0.513163 | − | 0.859571i | ||||
\(891\) | 51.1240 | − | 24.4316i | 1.71272 | − | 0.818489i | ||||
\(892\) | −24.2382 | − | 6.49461i | −0.811555 | − | 0.217456i | ||||
\(893\) | 2.38468 | + | 8.89976i | 0.0798004 | + | 0.297819i | ||||
\(894\) | −9.96895 | + | 9.58853i | −0.333412 | + | 0.320688i | ||||
\(895\) | −12.4933 | − | 3.54401i | −0.417606 | − | 0.118463i | ||||
\(896\) | −1.53251 | − | 2.15671i | −0.0511975 | − | 0.0720508i | ||||
\(897\) | −10.3278 | − | 6.23363i | −0.344834 | − | 0.208135i | ||||
\(898\) | 11.1288 | + | 11.1288i | 0.371374 | + | 0.371374i | ||||
\(899\) | 1.47976 | + | 2.56303i | 0.0493529 | + | 0.0854817i | ||||
\(900\) | 6.59838 | + | 13.4708i | 0.219946 | + | 0.449025i | ||||
\(901\) | −13.2994 | + | 23.0353i | −0.443069 | + | 0.767417i | ||||
\(902\) | 11.1856 | − | 41.7454i | 0.372441 | − | 1.38997i | ||||
\(903\) | 4.83973 | + | 7.09949i | 0.161056 | + | 0.236256i | ||||
\(904\) | −13.1891 | − | 7.61472i | −0.438662 | − | 0.253262i | ||||
\(905\) | 8.55123 | − | 8.30492i | 0.284252 | − | 0.276065i | ||||
\(906\) | 8.89363 | + | 2.56943i | 0.295471 | + | 0.0853635i | ||||
\(907\) | 14.0850 | + | 52.5659i | 0.467685 | + | 1.74542i | 0.647832 | + | 0.761783i | \(0.275676\pi\) |
−0.180147 | + | 0.983640i | \(0.557657\pi\) | |||||||
\(908\) | −6.47257 | − | 24.1560i | −0.214800 | − | 0.801644i | ||||
\(909\) | −1.32280 | + | 33.9896i | −0.0438744 | + | 1.12736i | ||||
\(910\) | −2.78888 | − | 34.9717i | −0.0924505 | − | 1.15930i | ||||
\(911\) | −22.5707 | + | 13.0312i | −0.747800 | + | 0.431743i | −0.824899 | − | 0.565281i | \(-0.808768\pi\) |
0.0770981 | + | 0.997024i | \(0.475435\pi\) | |||||||
\(912\) | −1.31797 | − | 2.38891i | −0.0436422 | − | 0.0791046i | ||||
\(913\) | −80.3175 | − | 80.3175i | −2.65812 | − | 2.65812i | ||||
\(914\) | −9.33057 | −0.308628 | ||||||||
\(915\) | 46.6372 | − | 10.8086i | 1.54178 | − | 0.357322i | ||||
\(916\) | 4.58366 | + | 7.93914i | 0.151449 | + | 0.262317i | ||||
\(917\) | 5.29501 | + | 14.2404i | 0.174857 | + | 0.470259i | ||||
\(918\) | 10.1184 | + | 20.1560i | 0.333958 | + | 0.665246i | ||||
\(919\) | −25.4695 | − | 14.7048i | −0.840160 | − | 0.485067i | 0.0171585 | − | 0.999853i | \(-0.494538\pi\) |
−0.857319 | + | 0.514786i | \(0.827871\pi\) | |||||||
\(920\) | 0.716701 | − | 2.52651i | 0.0236289 | − | 0.0832966i | ||||
\(921\) | −11.2042 | + | 2.76978i | −0.369191 | + | 0.0912674i | ||||
\(922\) | 25.8717 | + | 6.93229i | 0.852038 | + | 0.228303i | ||||
\(923\) | −14.5487 | − | 54.2965i | −0.478876 | − | 1.78719i | ||||
\(924\) | −9.52720 | − | 27.2324i | −0.313422 | − | 0.895879i | ||||
\(925\) | −11.7579 | + | 2.78500i | −0.386596 | + | 0.0915704i | ||||
\(926\) | 35.9157 | + | 20.7359i | 1.18026 | + | 0.681425i | ||||
\(927\) | −13.2513 | + | 3.00364i | −0.435230 | + | 0.0986526i | ||||
\(928\) | 0.239131 | − | 0.892448i | 0.00784985 | − | 0.0292961i | ||||
\(929\) | −57.0607 | −1.87210 | −0.936051 | − | 0.351865i | \(-0.885548\pi\) | ||||
−0.936051 | + | 0.351865i | \(0.885548\pi\) | |||||||
\(930\) | −10.5264 | − | 6.56523i | −0.345173 | − | 0.215282i | ||||
\(931\) | 7.20397 | + | 8.34785i | 0.236101 | + | 0.273590i | ||||
\(932\) | −20.4978 | + | 5.49236i | −0.671427 | + | 0.179908i | ||||
\(933\) | 18.8216 | − | 31.1832i | 0.616191 | − | 1.02089i | ||||
\(934\) | −21.1982 | − | 12.2388i | −0.693627 | − | 0.400466i | ||||
\(935\) | −0.892747 | + | 61.0960i | −0.0291959 | + | 1.99805i | ||||
\(936\) | 17.7767 | + | 0.691830i | 0.581051 | + | 0.0226132i | ||||
\(937\) | 31.6113 | − | 31.6113i | 1.03270 | − | 1.03270i | 0.0332500 | − | 0.999447i | \(-0.489414\pi\) |
0.999447 | − | 0.0332500i | \(-0.0105857\pi\) | |||||||
\(938\) | 2.82092 | − | 16.6724i | 0.0921062 | − | 0.544372i | ||||
\(939\) | −0.168866 | − | 0.683091i | −0.00551074 | − | 0.0222918i | ||||
\(940\) | 0.191095 | − | 13.0778i | 0.00623283 | − | 0.426549i | ||||
\(941\) | 0.882115i | 0.0287561i | 0.999897 | + | 0.0143781i | \(0.00457684\pi\) | ||||
−0.999897 | + | 0.0143781i | \(0.995423\pi\) | |||||||
\(942\) | 33.7411 | + | 20.3654i | 1.09934 | + | 0.663542i | ||||
\(943\) | −5.70091 | − | 5.70091i | −0.185647 | − | 0.185647i | ||||
\(944\) | −8.32434 | −0.270934 | ||||||||
\(945\) | 26.2901 | − | 15.9321i | 0.855215 | − | 0.518273i | ||||
\(946\) | −11.8044 | −0.383793 | ||||||||
\(947\) | −3.71719 | − | 3.71719i | −0.120793 | − | 0.120793i | 0.644126 | − | 0.764919i | \(-0.277221\pi\) |
−0.764919 | + | 0.644126i | \(0.777221\pi\) | |||||||
\(948\) | −19.7468 | − | 11.9188i | −0.641346 | − | 0.387104i | ||||
\(949\) | 35.4994i | 1.15236i | ||||||||
\(950\) | 7.66402 | − | 1.81532i | 0.248653 | − | 0.0588969i | ||||
\(951\) | −3.86636 | − | 15.6400i | −0.125375 | − | 0.507162i | ||||
\(952\) | 10.7635 | − | 4.00220i | 0.348848 | − | 0.129712i | ||||
\(953\) | −3.95814 | + | 3.95814i | −0.128217 | + | 0.128217i | −0.768303 | − | 0.640086i | \(-0.778899\pi\) |
0.640086 | + | 0.768303i | \(0.278899\pi\) | |||||||
\(954\) | −9.80462 | + | 15.5522i | −0.317436 | + | 0.503521i | ||||
\(955\) | 2.04436 | + | 2.10499i | 0.0661538 | + | 0.0681158i | ||||
\(956\) | 5.13552 | + | 2.96499i | 0.166094 | + | 0.0958947i | ||||
\(957\) | 5.20627 | − | 8.62565i | 0.168295 | − | 0.278828i | ||||
\(958\) | −3.23165 | + | 0.865918i | −0.104410 | + | 0.0279765i | ||||
\(959\) | −1.01410 | − | 10.7347i | −0.0327470 | − | 0.346643i | ||||
\(960\) | 0.874425 | + | 3.77298i | 0.0282220 | + | 0.121772i | ||||
\(961\) | −20.7395 | −0.669018 | ||||||||
\(962\) | −3.70909 | + | 13.8425i | −0.119586 | + | 0.446300i | ||||
\(963\) | 2.15770 | + | 2.33245i | 0.0695309 | + | 0.0751621i | ||||
\(964\) | 19.6612 | + | 11.3514i | 0.633245 | + | 0.365604i | ||||
\(965\) | −1.45415 | − | 0.0212484i | −0.0468109 | − | 0.000684010i | ||||
\(966\) | −5.28822 | − | 1.00091i | −0.170146 | − | 0.0322037i | ||||
\(967\) | −2.59154 | − | 9.67174i | −0.0833382 | − | 0.311022i | 0.911656 | − | 0.410954i | \(-0.134804\pi\) |
−0.994994 | + | 0.0999316i | \(0.968138\pi\) | |||||||
\(968\) | 27.6609 | + | 7.41171i | 0.889054 | + | 0.238221i | ||||
\(969\) | 11.4960 | − | 2.84191i | 0.369304 | − | 0.0912952i | ||||
\(970\) | 0.185949 | + | 0.0527485i | 0.00597046 | + | 0.00169365i | ||||
\(971\) | −35.9311 | − | 20.7448i | −1.15308 | − | 0.665733i | −0.203447 | − | 0.979086i | \(-0.565214\pi\) |
−0.949637 | + | 0.313353i | \(0.898548\pi\) | |||||||
\(972\) | 6.44666 | + | 14.1930i | 0.206777 | + | 0.455240i | ||||
\(973\) | −2.72319 | + | 3.29138i | −0.0873013 | + | 0.105517i | ||||
\(974\) | −6.95365 | − | 12.0441i | −0.222809 | − | 0.385917i | ||||
\(975\) | −15.6896 | + | 48.9006i | −0.502469 | + | 1.56607i | ||||
\(976\) | 12.3608 | 0.395661 | ||||||||
\(977\) | 22.6090 | + | 22.6090i | 0.723327 | + | 0.723327i | 0.969281 | − | 0.245955i | \(-0.0791014\pi\) |
−0.245955 | + | 0.969281i | \(0.579101\pi\) | |||||||
\(978\) | 13.4555 | + | 24.3890i | 0.430259 | + | 0.779874i | ||||
\(979\) | 72.8226 | − | 42.0441i | 2.32742 | − | 1.34374i | ||||
\(980\) | −6.60417 | − | 14.1910i | −0.210962 | − | 0.453315i | ||||
\(981\) | 0.590302 | + | 0.372146i | 0.0188469 | + | 0.0118817i | ||||
\(982\) | 9.33903 | + | 34.8537i | 0.298020 | + | 1.11223i | ||||
\(983\) | 4.32878 | + | 16.1552i | 0.138067 | + | 0.515271i | 0.999966 | + | 0.00819281i | \(0.00260788\pi\) |
−0.861900 | + | 0.507078i | \(0.830725\pi\) | |||||||
\(984\) | 11.4227 | + | 3.30010i | 0.364143 | + | 0.105203i | ||||
\(985\) | −14.0272 | − | 0.204969i | −0.446944 | − | 0.00653084i | ||||
\(986\) | 3.47293 | + | 2.00510i | 0.110601 | + | 0.0638552i | ||||
\(987\) | −26.7295 | + | 2.00150i | −0.850808 | + | 0.0637085i | ||||
\(988\) | 2.41766 | − | 9.02284i | 0.0769161 | − | 0.287055i | ||||
\(989\) | −1.10105 | + | 1.90707i | −0.0350113 | + | 0.0606414i | ||||
\(990\) | −2.25879 | + | 42.1728i | −0.0717891 | + | 1.34034i | ||||
\(991\) | −20.4353 | − | 35.3951i | −0.649150 | − | 1.12436i | −0.983326 | − | 0.181850i | \(-0.941791\pi\) |
0.334176 | − | 0.942511i | \(-0.391542\pi\) | |||||||
\(992\) | −2.26500 | − | 2.26500i | −0.0719138 | − | 0.0719138i | ||||
\(993\) | −38.6992 | − | 23.3580i | −1.22808 | − | 0.741245i | ||||
\(994\) | −14.5268 | − | 20.4438i | −0.460763 | − | 0.648437i | ||||
\(995\) | −5.46770 | + | 19.2747i | −0.173338 | + | 0.611050i | ||||
\(996\) | 22.5220 | − | 21.6625i | 0.713636 | − | 0.686404i | ||||
\(997\) | −0.752943 | − | 2.81002i | −0.0238459 | − | 0.0889943i | 0.952977 | − | 0.303041i | \(-0.0980021\pi\) |
−0.976823 | + | 0.214047i | \(0.931335\pi\) | |||||||
\(998\) | 34.5034 | + | 9.24516i | 1.09219 | + | 0.292650i | ||||
\(999\) | −12.2982 | + | 2.53720i | −0.389098 | + | 0.0802736i |
(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 | 630.2.cd.a.23.5 | yes | 192 | |
5.2 | odd | 4 | inner | 630.2.cd.a.527.32 | yes | 192 | |
7.4 | even | 3 | 630.2.bt.a.473.36 | yes | 192 | ||
9.2 | odd | 6 | 630.2.bt.a.443.48 | yes | 192 | ||
35.32 | odd | 12 | 630.2.bt.a.347.48 | yes | 192 | ||
45.2 | even | 12 | 630.2.bt.a.317.36 | ✓ | 192 | ||
63.11 | odd | 6 | inner | 630.2.cd.a.263.32 | yes | 192 | |
315.137 | even | 12 | inner | 630.2.cd.a.137.5 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.bt.a.317.36 | ✓ | 192 | 45.2 | even | 12 | ||
630.2.bt.a.347.48 | yes | 192 | 35.32 | odd | 12 | ||
630.2.bt.a.443.48 | yes | 192 | 9.2 | odd | 6 | ||
630.2.bt.a.473.36 | yes | 192 | 7.4 | even | 3 | ||
630.2.cd.a.23.5 | yes | 192 | 1.1 | even | 1 | trivial | |
630.2.cd.a.137.5 | yes | 192 | 315.137 | even | 12 | inner | |
630.2.cd.a.263.32 | yes | 192 | 63.11 | odd | 6 | inner | |
630.2.cd.a.527.32 | yes | 192 | 5.2 | odd | 4 | inner |