Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [392,2,Mod(37,392)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(392, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 21, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("392.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 392 = 2^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 392.z (of order \(42\), 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: | \(3.13013575923\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 205.3 | ||
Character | \(\chi\) | \(=\) | 392.205 |
Dual form | 392.2.z.a.109.3 |
$q$-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 \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(297\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41164 | + | 0.0853275i | −0.998178 | + | 0.0603356i | ||||
\(3\) | −0.290045 | + | 1.92432i | −0.167457 | + | 1.11101i | 0.734319 | + | 0.678805i | \(0.237502\pi\) |
−0.901776 | + | 0.432203i | \(0.857736\pi\) | |||||||
\(4\) | 1.98544 | − | 0.240903i | 0.992719 | − | 0.120451i | ||||
\(5\) | −1.10812 | + | 0.434904i | −0.495565 | + | 0.194495i | −0.599943 | − | 0.800043i | \(-0.704810\pi\) |
0.104378 | + | 0.994538i | \(0.466715\pi\) | |||||||
\(6\) | 0.245241 | − | 2.74119i | 0.100119 | − | 1.11909i | ||||
\(7\) | 1.77530 | − | 1.96171i | 0.671002 | − | 0.741456i | ||||
\(8\) | −2.78216 | + | 0.509480i | −0.983643 | + | 0.180128i | ||||
\(9\) | −0.752171 | − | 0.232014i | −0.250724 | − | 0.0773380i | ||||
\(10\) | 1.52715 | − | 0.708479i | 0.482927 | − | 0.224041i | ||||
\(11\) | 1.15441 | + | 3.74250i | 0.348067 | + | 1.12841i | 0.945263 | + | 0.326310i | \(0.105805\pi\) |
−0.597195 | + | 0.802096i | \(0.703718\pi\) | |||||||
\(12\) | −0.112291 | + | 3.89050i | −0.0324158 | + | 1.12309i | ||||
\(13\) | 4.65240 | + | 1.06188i | 1.29034 | + | 0.294513i | 0.811999 | − | 0.583659i | \(-0.198380\pi\) |
0.478345 | + | 0.878172i | \(0.341237\pi\) | |||||||
\(14\) | −2.33870 | + | 2.92070i | −0.625043 | + | 0.780590i | ||||
\(15\) | −0.515491 | − | 2.25851i | −0.133099 | − | 0.583146i | ||||
\(16\) | 3.88393 | − | 0.956596i | 0.970983 | − | 0.239149i | ||||
\(17\) | 2.11461 | + | 1.44172i | 0.512868 | + | 0.349668i | 0.791936 | − | 0.610604i | \(-0.209073\pi\) |
−0.279068 | + | 0.960271i | \(0.590026\pi\) | |||||||
\(18\) | 1.08159 | + | 0.263339i | 0.254933 | + | 0.0620695i | ||||
\(19\) | −3.04750 | − | 1.75947i | −0.699144 | − | 0.403651i | 0.107885 | − | 0.994163i | \(-0.465592\pi\) |
−0.807028 | + | 0.590513i | \(0.798926\pi\) | |||||||
\(20\) | −2.09533 | + | 1.13042i | −0.468529 | + | 0.252770i | ||||
\(21\) | 3.26004 | + | 3.98524i | 0.711399 | + | 0.869651i | ||||
\(22\) | −1.94894 | − | 5.18455i | −0.415516 | − | 1.10535i | ||||
\(23\) | −3.64260 | + | 2.48348i | −0.759534 | + | 0.517842i | −0.880057 | − | 0.474869i | \(-0.842495\pi\) |
0.120522 | + | 0.992711i | \(0.461543\pi\) | |||||||
\(24\) | −0.173451 | − | 5.50155i | −0.0354056 | − | 1.12300i | ||||
\(25\) | −2.62648 | + | 2.43702i | −0.525296 | + | 0.487403i | ||||
\(26\) | −6.65811 | − | 1.10201i | −1.30576 | − | 0.216122i | ||||
\(27\) | −1.86846 | + | 3.87989i | −0.359584 | + | 0.746685i | ||||
\(28\) | 3.05218 | − | 4.32252i | 0.576807 | − | 0.816880i | ||||
\(29\) | −2.00797 | − | 4.16959i | −0.372871 | − | 0.774274i | 0.627119 | − | 0.778924i | \(-0.284234\pi\) |
−0.999989 | + | 0.00465011i | \(0.998520\pi\) | |||||||
\(30\) | 0.920400 | + | 3.14422i | 0.168041 | + | 0.574053i | ||||
\(31\) | 1.49610 | + | 2.59132i | 0.268708 | + | 0.465416i | 0.968528 | − | 0.248903i | \(-0.0800700\pi\) |
−0.699821 | + | 0.714319i | \(0.746737\pi\) | |||||||
\(32\) | −5.40108 | + | 1.68177i | −0.954785 | + | 0.297298i | ||||
\(33\) | −7.53661 | + | 1.13596i | −1.31195 | + | 0.197745i | ||||
\(34\) | −3.10808 | − | 1.85475i | −0.533031 | − | 0.318086i | ||||
\(35\) | −1.11409 | + | 2.94589i | −0.188316 | + | 0.497945i | ||||
\(36\) | −1.54928 | − | 0.279449i | −0.258214 | − | 0.0465749i | ||||
\(37\) | 1.67124 | + | 0.125242i | 0.274750 | + | 0.0205896i | 0.211392 | − | 0.977401i | \(-0.432200\pi\) |
0.0633572 | + | 0.997991i | \(0.479819\pi\) | |||||||
\(38\) | 4.45209 | + | 2.22370i | 0.722225 | + | 0.360732i | ||||
\(39\) | −3.39281 | + | 8.64473i | −0.543284 | + | 1.38426i | ||||
\(40\) | 2.86138 | − | 1.77454i | 0.452425 | − | 0.280579i | ||||
\(41\) | 1.46431 | − | 1.83619i | 0.228687 | − | 0.286764i | −0.654228 | − | 0.756297i | \(-0.727006\pi\) |
0.882915 | + | 0.469533i | \(0.155578\pi\) | |||||||
\(42\) | −4.94204 | − | 5.34754i | −0.762573 | − | 0.825144i | ||||
\(43\) | −6.23910 | + | 4.97552i | −0.951454 | + | 0.758760i | −0.970510 | − | 0.241059i | \(-0.922505\pi\) |
0.0190561 | + | 0.999818i | \(0.493934\pi\) | |||||||
\(44\) | 3.19359 | + | 7.15240i | 0.481451 | + | 1.07827i | ||||
\(45\) | 0.934397 | − | 0.0700234i | 0.139292 | − | 0.0104385i | ||||
\(46\) | 4.93012 | − | 3.81659i | 0.726906 | − | 0.562725i | ||||
\(47\) | 8.15459 | + | 7.56636i | 1.18947 | + | 1.10367i | 0.992372 | + | 0.123283i | \(0.0393421\pi\) |
0.197098 | + | 0.980384i | \(0.436848\pi\) | |||||||
\(48\) | 0.714284 | + | 7.75139i | 0.103098 | + | 1.11882i | ||||
\(49\) | −0.696588 | − | 6.96525i | −0.0995126 | − | 0.995036i | ||||
\(50\) | 3.49969 | − | 3.66429i | 0.494931 | − | 0.518209i | ||||
\(51\) | −3.38766 | + | 3.65103i | −0.474367 | + | 0.511246i | ||||
\(52\) | 9.49287 | + | 0.987521i | 1.31642 | + | 0.136945i | ||||
\(53\) | −0.517548 | + | 0.0387849i | −0.0710907 | + | 0.00532751i | −0.110228 | − | 0.993906i | \(-0.535158\pi\) |
0.0391372 | + | 0.999234i | \(0.487539\pi\) | |||||||
\(54\) | 2.30652 | − | 5.63642i | 0.313878 | − | 0.767020i | ||||
\(55\) | −2.90684 | − | 3.64507i | −0.391959 | − | 0.491501i | ||||
\(56\) | −3.93974 | + | 6.36227i | −0.526469 | + | 0.850194i | ||||
\(57\) | 4.26970 | − | 5.35404i | 0.565536 | − | 0.709160i | ||||
\(58\) | 3.19030 | + | 5.71461i | 0.418908 | + | 0.750366i | ||||
\(59\) | 9.32841 | + | 3.66113i | 1.21446 | + | 0.476639i | 0.884136 | − | 0.467230i | \(-0.154748\pi\) |
0.330320 | + | 0.943869i | \(0.392843\pi\) | |||||||
\(60\) | −1.56756 | − | 4.35996i | −0.202371 | − | 0.562868i | ||||
\(61\) | 3.74141 | + | 0.280380i | 0.479039 | + | 0.0358990i | 0.312062 | − | 0.950062i | \(-0.398980\pi\) |
0.166977 | + | 0.985961i | \(0.446599\pi\) | |||||||
\(62\) | −2.33306 | − | 3.53035i | −0.296299 | − | 0.448355i | ||||
\(63\) | −1.79048 | + | 1.06364i | −0.225579 | + | 0.134007i | ||||
\(64\) | 7.48086 | − | 2.83491i | 0.935108 | − | 0.354364i | ||||
\(65\) | −5.61722 | + | 0.846659i | −0.696730 | + | 0.105015i | ||||
\(66\) | 10.5420 | − | 2.24664i | 1.29763 | − | 0.276543i | ||||
\(67\) | −9.58971 | + | 5.53662i | −1.17157 | + | 0.676406i | −0.954049 | − | 0.299650i | \(-0.903130\pi\) |
−0.217520 | + | 0.976056i | \(0.569797\pi\) | |||||||
\(68\) | 4.54574 | + | 2.35302i | 0.551252 | + | 0.285346i | ||||
\(69\) | −3.72250 | − | 7.72985i | −0.448137 | − | 0.930565i | ||||
\(70\) | 1.32133 | − | 4.25358i | 0.157929 | − | 0.508400i | ||||
\(71\) | −7.89455 | − | 3.80181i | −0.936911 | − | 0.451192i | −0.0978322 | − | 0.995203i | \(-0.531191\pi\) |
−0.839078 | + | 0.544011i | \(0.816905\pi\) | |||||||
\(72\) | 2.21087 | + | 0.262285i | 0.260553 | + | 0.0309106i | ||||
\(73\) | 1.56628 | − | 1.45330i | 0.183319 | − | 0.170096i | −0.583175 | − | 0.812347i | \(-0.698190\pi\) |
0.766494 | + | 0.642251i | \(0.221999\pi\) | |||||||
\(74\) | −2.36987 | − | 0.0341936i | −0.275491 | − | 0.00397493i | ||||
\(75\) | −3.92781 | − | 5.76104i | −0.453544 | − | 0.665227i | ||||
\(76\) | −6.47448 | − | 2.75917i | −0.742674 | − | 0.316499i | ||||
\(77\) | 9.39111 | + | 4.37947i | 1.07022 | + | 0.499086i | ||||
\(78\) | 4.05178 | − | 12.4927i | 0.458773 | − | 1.41452i | ||||
\(79\) | 6.40251 | − | 11.0895i | 0.720338 | − | 1.24766i | −0.240526 | − | 0.970643i | \(-0.577320\pi\) |
0.960864 | − | 0.277020i | \(-0.0893468\pi\) | |||||||
\(80\) | −3.88782 | + | 2.74915i | −0.434672 | + | 0.307365i | ||||
\(81\) | −8.87532 | − | 6.05109i | −0.986147 | − | 0.672343i | ||||
\(82\) | −1.91040 | + | 2.71697i | −0.210968 | + | 0.300040i | ||||
\(83\) | −5.80506 | + | 1.32497i | −0.637188 | + | 0.145434i | −0.528898 | − | 0.848685i | \(-0.677395\pi\) |
−0.108290 | + | 0.994119i | \(0.534538\pi\) | |||||||
\(84\) | 7.43266 | + | 7.12710i | 0.810970 | + | 0.777630i | ||||
\(85\) | −2.97024 | − | 0.677938i | −0.322168 | − | 0.0735327i | ||||
\(86\) | 8.38280 | − | 7.55599i | 0.903941 | − | 0.814784i | ||||
\(87\) | 8.60604 | − | 2.65461i | 0.922664 | − | 0.284604i | ||||
\(88\) | −5.11848 | − | 9.82410i | −0.545632 | − | 1.04725i | ||||
\(89\) | 7.80157 | + | 2.40646i | 0.826964 | + | 0.255085i | 0.679214 | − | 0.733940i | \(-0.262321\pi\) |
0.147750 | + | 0.989025i | \(0.452797\pi\) | |||||||
\(90\) | −1.31305 | + | 0.178577i | −0.138408 | + | 0.0188237i | ||||
\(91\) | 10.3425 | − | 7.24149i | 1.08419 | − | 0.759114i | ||||
\(92\) | −6.63388 | + | 5.80831i | −0.691630 | + | 0.605558i | ||||
\(93\) | −5.42048 | + | 2.12738i | −0.562078 | + | 0.220599i | ||||
\(94\) | −12.1569 | − | 9.98514i | −1.25389 | − | 1.02989i | ||||
\(95\) | 4.14218 | + | 0.624333i | 0.424979 | + | 0.0640553i | ||||
\(96\) | −1.66972 | − | 10.8812i | −0.170415 | − | 1.11056i | ||||
\(97\) | 12.3467 | 1.25361 | 0.626807 | − | 0.779175i | \(-0.284362\pi\) | ||||
0.626807 | + | 0.779175i | \(0.284362\pi\) | |||||||
\(98\) | 1.57766 | + | 9.77297i | 0.159367 | + | 0.987219i | ||||
\(99\) | − | 3.08284i | − | 0.309837i | ||||||
\(100\) | −4.62763 | + | 5.47127i | −0.462763 | + | 0.547127i | ||||
\(101\) | 2.12535 | − | 14.1007i | 0.211480 | − | 1.40308i | −0.591132 | − | 0.806575i | \(-0.701319\pi\) |
0.802612 | − | 0.596502i | \(-0.203443\pi\) | |||||||
\(102\) | 4.47061 | − | 5.44299i | 0.442656 | − | 0.538936i | ||||
\(103\) | 6.17267 | + | 15.7277i | 0.608211 | + | 1.54970i | 0.819989 | + | 0.572379i | \(0.193979\pi\) |
−0.211778 | + | 0.977318i | \(0.567925\pi\) | |||||||
\(104\) | −13.4847 | − | 0.584019i | −1.32229 | − | 0.0572677i | ||||
\(105\) | −5.34570 | − | 2.99831i | −0.521687 | − | 0.292605i | ||||
\(106\) | 0.727281 | − | 0.0989113i | 0.0706398 | − | 0.00960711i | ||||
\(107\) | 2.72987 | − | 8.85002i | 0.263906 | − | 0.855564i | −0.722519 | − | 0.691352i | \(-0.757016\pi\) |
0.986425 | − | 0.164212i | \(-0.0525082\pi\) | |||||||
\(108\) | −2.77503 | + | 8.15339i | −0.267027 | + | 0.784561i | ||||
\(109\) | 1.82393 | + | 5.91302i | 0.174700 | + | 0.566365i | 0.999999 | + | 0.00166754i | \(0.000530794\pi\) |
−0.825298 | + | 0.564697i | \(0.808993\pi\) | |||||||
\(110\) | 4.41443 | + | 4.89748i | 0.420900 | + | 0.466956i | ||||
\(111\) | −0.725739 | + | 3.17967i | −0.0688841 | + | 0.301801i | ||||
\(112\) | 5.01860 | − | 9.31738i | 0.474213 | − | 0.880410i | ||||
\(113\) | −3.49296 | − | 15.3037i | −0.328590 | − | 1.43965i | −0.821820 | − | 0.569747i | \(-0.807041\pi\) |
0.493230 | − | 0.869899i | \(-0.335816\pi\) | |||||||
\(114\) | −5.57043 | + | 7.92228i | −0.521718 | + | 0.741990i | ||||
\(115\) | 2.95635 | − | 4.33616i | 0.275681 | − | 0.404349i | ||||
\(116\) | −4.99117 | − | 7.79474i | −0.463418 | − | 0.723724i | ||||
\(117\) | −3.25303 | − | 1.87814i | −0.300743 | − | 0.173634i | ||||
\(118\) | −13.4807 | − | 4.37222i | −1.24100 | − | 0.402495i | ||||
\(119\) | 6.58230 | − | 1.58876i | 0.603398 | − | 0.145641i | ||||
\(120\) | 2.58485 | + | 6.02092i | 0.235963 | + | 0.549632i | ||||
\(121\) | −3.58502 | + | 2.44423i | −0.325911 | + | 0.222202i | ||||
\(122\) | −5.30544 | − | 0.0765496i | −0.480332 | − | 0.00693047i | ||||
\(123\) | 3.10870 | + | 3.35038i | 0.280302 | + | 0.302094i | ||||
\(124\) | 3.59468 | + | 4.78450i | 0.322811 | + | 0.429661i | ||||
\(125\) | 4.43306 | − | 9.20535i | 0.396505 | − | 0.823351i | ||||
\(126\) | 2.43674 | − | 1.65426i | 0.217082 | − | 0.147373i | ||||
\(127\) | 14.5236 | − | 6.99417i | 1.28876 | − | 0.620633i | 0.341131 | − | 0.940016i | \(-0.389190\pi\) |
0.947626 | + | 0.319383i | \(0.103476\pi\) | |||||||
\(128\) | −10.3184 | + | 4.64019i | −0.912023 | + | 0.410139i | ||||
\(129\) | −7.76488 | − | 13.4492i | −0.683660 | − | 1.18413i | ||||
\(130\) | 7.85723 | − | 1.67448i | 0.689125 | − | 0.146862i | ||||
\(131\) | −1.41227 | − | 9.36979i | −0.123390 | − | 0.818642i | −0.961830 | − | 0.273647i | \(-0.911770\pi\) |
0.838440 | − | 0.544994i | \(-0.183468\pi\) | |||||||
\(132\) | −14.6898 | + | 4.07097i | −1.27858 | + | 0.354332i | ||||
\(133\) | −8.86181 | + | 2.85470i | −0.768416 | + | 0.247533i | ||||
\(134\) | 13.0648 | − | 8.63396i | 1.12862 | − | 0.745861i | ||||
\(135\) | 0.383089 | − | 5.11196i | 0.0329710 | − | 0.439968i | ||||
\(136\) | −6.61771 | − | 2.93374i | −0.567464 | − | 0.251566i | ||||
\(137\) | −5.55591 | + | 14.1562i | −0.474673 | + | 1.20945i | 0.470360 | + | 0.882474i | \(0.344124\pi\) |
−0.945034 | + | 0.326973i | \(0.893971\pi\) | |||||||
\(138\) | 5.91439 | + | 10.5941i | 0.503466 | + | 0.901831i | ||||
\(139\) | −4.67166 | − | 3.72552i | −0.396245 | − | 0.315995i | 0.405016 | − | 0.914309i | \(-0.367266\pi\) |
−0.801261 | + | 0.598315i | \(0.795837\pi\) | |||||||
\(140\) | −1.50229 | + | 6.11726i | −0.126966 | + | 0.517003i | ||||
\(141\) | −16.9253 | + | 13.4975i | −1.42537 | + | 1.13669i | ||||
\(142\) | 11.4686 | + | 4.69316i | 0.962427 | + | 0.393841i | ||||
\(143\) | 1.39668 | + | 18.6375i | 0.116797 | + | 1.55854i | ||||
\(144\) | −3.14332 | − | 0.181603i | −0.261944 | − | 0.0151336i | ||||
\(145\) | 4.03843 | + | 3.74712i | 0.335374 | + | 0.311181i | ||||
\(146\) | −2.08702 | + | 2.18518i | −0.172723 | + | 0.180846i | ||||
\(147\) | 13.6054 | + | 0.679777i | 1.12216 | + | 0.0560671i | ||||
\(148\) | 3.34831 | − | 0.153946i | 0.275229 | − | 0.0126543i | ||||
\(149\) | 12.6620 | − | 13.6464i | 1.03731 | − | 1.11796i | 0.0444131 | − | 0.999013i | \(-0.485858\pi\) |
0.992901 | − | 0.118945i | \(-0.0379513\pi\) | |||||||
\(150\) | 6.03621 | + | 7.79734i | 0.492855 | + | 0.636650i | ||||
\(151\) | −0.411488 | − | 5.49092i | −0.0334864 | − | 0.446845i | −0.988596 | − | 0.150592i | \(-0.951882\pi\) |
0.955110 | − | 0.296253i | \(-0.0957370\pi\) | |||||||
\(152\) | 9.37505 | + | 3.34250i | 0.760417 | + | 0.271113i | ||||
\(153\) | −1.25605 | − | 1.57504i | −0.101546 | − | 0.127334i | ||||
\(154\) | −13.6305 | − | 5.38090i | −1.09838 | − | 0.433605i | ||||
\(155\) | −2.78483 | − | 2.22083i | −0.223683 | − | 0.178381i | ||||
\(156\) | −4.65367 | + | 17.9809i | −0.372592 | + | 1.43963i | ||||
\(157\) | −6.18392 | − | 2.42701i | −0.493530 | − | 0.193696i | 0.105505 | − | 0.994419i | \(-0.466354\pi\) |
−0.599036 | + | 0.800722i | \(0.704449\pi\) | |||||||
\(158\) | −8.09178 | + | 16.2006i | −0.643747 | + | 1.28885i | ||||
\(159\) | 0.0754776 | − | 1.00718i | 0.00598576 | − | 0.0798745i | ||||
\(160\) | 5.25361 | − | 4.21255i | 0.415335 | − | 0.333031i | ||||
\(161\) | −1.59486 | + | 11.5546i | −0.125692 | + | 0.910634i | ||||
\(162\) | 13.0451 | + | 7.78463i | 1.02492 | + | 0.611619i | ||||
\(163\) | −1.24761 | − | 8.27736i | −0.0977204 | − | 0.648333i | −0.983046 | − | 0.183360i | \(-0.941302\pi\) |
0.885325 | − | 0.464972i | \(-0.153936\pi\) | |||||||
\(164\) | 2.46495 | − | 3.99839i | 0.192481 | − | 0.312222i | ||||
\(165\) | 7.85740 | − | 4.53647i | 0.611698 | − | 0.353164i | ||||
\(166\) | 8.08158 | − | 2.36570i | 0.627253 | − | 0.183614i | ||||
\(167\) | −11.2602 | + | 5.42265i | −0.871344 | + | 0.419617i | −0.815455 | − | 0.578820i | \(-0.803513\pi\) |
−0.0558883 | + | 0.998437i | \(0.517799\pi\) | |||||||
\(168\) | −11.1004 | − | 9.42666i | −0.856411 | − | 0.727283i | ||||
\(169\) | 8.80466 | + | 4.24010i | 0.677282 | + | 0.326162i | ||||
\(170\) | 4.25075 | + | 0.703559i | 0.326017 | + | 0.0539605i | ||||
\(171\) | 1.88402 | + | 2.03049i | 0.144074 | + | 0.155275i | ||||
\(172\) | −11.1887 | + | 11.3816i | −0.853133 | + | 0.867839i | ||||
\(173\) | 2.37782 | + | 3.48762i | 0.180782 | + | 0.265159i | 0.905924 | − | 0.423441i | \(-0.139178\pi\) |
−0.725141 | + | 0.688600i | \(0.758226\pi\) | |||||||
\(174\) | −11.9221 | + | 4.48168i | −0.903811 | + | 0.339755i | ||||
\(175\) | 0.117912 | + | 9.47883i | 0.00891330 | + | 0.716532i | ||||
\(176\) | 8.06370 | + | 13.4313i | 0.607824 | + | 1.01242i | ||||
\(177\) | −9.75085 | + | 16.8890i | −0.732919 | + | 1.26945i | ||||
\(178\) | −11.2183 | − | 2.73137i | −0.840849 | − | 0.204725i | ||||
\(179\) | −12.1798 | + | 17.8645i | −0.910361 | + | 1.33525i | 0.0315892 | + | 0.999501i | \(0.489943\pi\) |
−0.941950 | + | 0.335753i | \(0.891009\pi\) | |||||||
\(180\) | 1.83832 | − | 0.364126i | 0.137020 | − | 0.0271403i | ||||
\(181\) | 1.50629 | − | 0.343801i | 0.111962 | − | 0.0255545i | −0.166173 | − | 0.986097i | \(-0.553141\pi\) |
0.278135 | + | 0.960542i | \(0.410284\pi\) | |||||||
\(182\) | −13.9820 | + | 11.1049i | −1.03641 | + | 0.823147i | ||||
\(183\) | −1.62472 | + | 7.11836i | −0.120103 | + | 0.526204i | ||||
\(184\) | 8.86902 | − | 8.76528i | 0.653833 | − | 0.646185i | ||||
\(185\) | −1.90639 | + | 0.588044i | −0.140161 | + | 0.0432339i | ||||
\(186\) | 7.47023 | − | 3.46561i | 0.547744 | − | 0.254111i | ||||
\(187\) | −2.95450 | + | 9.57825i | −0.216054 | + | 0.700431i | ||||
\(188\) | 18.0132 | + | 13.0581i | 1.31375 | + | 0.952357i | ||||
\(189\) | 4.29413 | + | 10.5533i | 0.312352 | + | 0.767643i | ||||
\(190\) | −5.90053 | − | 0.527890i | −0.428069 | − | 0.0382972i | ||||
\(191\) | −2.03779 | − | 5.19221i | −0.147449 | − | 0.375695i | 0.837999 | − | 0.545673i | \(-0.183726\pi\) |
−0.985448 | + | 0.169977i | \(0.945630\pi\) | |||||||
\(192\) | 3.28550 | + | 15.2178i | 0.237110 | + | 1.09825i | ||||
\(193\) | 10.6741 | + | 1.60886i | 0.768337 | + | 0.115808i | 0.521503 | − | 0.853249i | \(-0.325372\pi\) |
0.246834 | + | 0.969058i | \(0.420610\pi\) | |||||||
\(194\) | −17.4290 | + | 1.05351i | −1.25133 | + | 0.0756376i | ||||
\(195\) | − | 11.0549i | − | 0.791658i | ||||||
\(196\) | −3.06098 | − | 13.6613i | −0.218642 | − | 0.975805i | ||||
\(197\) | 2.11833i | 0.150925i | 0.997149 | + | 0.0754625i | \(0.0240433\pi\) | ||||
−0.997149 | + | 0.0754625i | \(0.975957\pi\) | |||||||
\(198\) | 0.263051 | + | 4.35185i | 0.0186942 | + | 0.309273i | ||||
\(199\) | −12.5390 | − | 1.88996i | −0.888869 | − | 0.133975i | −0.311294 | − | 0.950314i | \(-0.600763\pi\) |
−0.577574 | + | 0.816338i | \(0.696001\pi\) | |||||||
\(200\) | 6.06568 | − | 8.11832i | 0.428908 | − | 0.574052i | ||||
\(201\) | −7.87280 | − | 20.0596i | −0.555304 | − | 1.41489i | ||||
\(202\) | −1.79704 | + | 20.0865i | −0.126439 | + | 1.41328i | ||||
\(203\) | −11.7443 | − | 3.46325i | −0.824286 | − | 0.243072i | ||||
\(204\) | −5.84644 | + | 8.06499i | −0.409333 | + | 0.564662i | ||||
\(205\) | −0.824061 | + | 2.67154i | −0.0575549 | + | 0.186589i | ||||
\(206\) | −10.0556 | − | 21.6751i | −0.700605 | − | 1.51018i | ||||
\(207\) | 3.31606 | − | 1.02287i | 0.230482 | − | 0.0710943i | ||||
\(208\) | 19.0854 | − | 0.326197i | 1.32333 | − | 0.0226177i | ||||
\(209\) | 3.06677 | − | 13.4364i | 0.212133 | − | 0.929416i | ||||
\(210\) | 7.80202 | + | 3.77639i | 0.538391 | + | 0.260595i | ||||
\(211\) | 21.6885 | − | 4.95025i | 1.49309 | − | 0.340789i | 0.603435 | − | 0.797412i | \(-0.293798\pi\) |
0.889660 | + | 0.456623i | \(0.150941\pi\) | |||||||
\(212\) | −1.01822 | + | 0.201684i | −0.0699314 | + | 0.0138517i | ||||
\(213\) | 9.60569 | − | 14.0890i | 0.658171 | − | 0.965359i | ||||
\(214\) | −3.09844 | + | 12.7260i | −0.211805 | + | 0.869928i | ||||
\(215\) | 4.74978 | − | 8.22686i | 0.323932 | − | 0.561067i | ||||
\(216\) | 3.22162 | − | 11.7464i | 0.219204 | − | 0.799243i | ||||
\(217\) | 7.73946 | + | 1.66548i | 0.525389 | + | 0.113060i | ||||
\(218\) | −3.07926 | − | 8.19141i | −0.208554 | − | 0.554792i | ||||
\(219\) | 2.34232 | + | 3.43555i | 0.158279 | + | 0.232153i | ||||
\(220\) | −6.64947 | − | 6.53679i | −0.448307 | − | 0.440710i | ||||
\(221\) | 8.30708 | + | 8.95291i | 0.558795 | + | 0.602238i | ||||
\(222\) | 0.753167 | − | 4.55047i | 0.0505493 | − | 0.305407i | ||||
\(223\) | −9.63843 | − | 4.64162i | −0.645437 | − | 0.310826i | 0.0823766 | − | 0.996601i | \(-0.473749\pi\) |
−0.727813 | + | 0.685775i | \(0.759463\pi\) | |||||||
\(224\) | −6.28941 | + | 13.5810i | −0.420229 | + | 0.907418i | ||||
\(225\) | 2.54098 | − | 1.22367i | 0.169399 | − | 0.0815782i | ||||
\(226\) | 6.23661 | + | 21.3052i | 0.414853 | + | 1.41720i | ||||
\(227\) | 10.7692 | − | 6.21763i | 0.714780 | − | 0.412678i | −0.0980485 | − | 0.995182i | \(-0.531260\pi\) |
0.812828 | + | 0.582503i | \(0.197927\pi\) | |||||||
\(228\) | 7.18743 | − | 11.6587i | 0.475999 | − | 0.772116i | ||||
\(229\) | −3.94116 | − | 26.1479i | −0.260439 | − | 1.72790i | −0.611235 | − | 0.791449i | \(-0.709327\pi\) |
0.350796 | − | 0.936452i | \(-0.385911\pi\) | |||||||
\(230\) | −3.80330 | + | 6.37335i | −0.250782 | + | 0.420246i | ||||
\(231\) | −11.1513 | + | 16.8013i | −0.733705 | + | 1.10544i | ||||
\(232\) | 7.71082 | + | 10.5775i | 0.506240 | + | 0.694444i | ||||
\(233\) | −1.50368 | + | 20.0652i | −0.0985090 | + | 1.31451i | 0.700699 | + | 0.713457i | \(0.252872\pi\) |
−0.799208 | + | 0.601055i | \(0.794747\pi\) | |||||||
\(234\) | 4.75236 | + | 2.37368i | 0.310671 | + | 0.155172i | ||||
\(235\) | −12.3269 | − | 4.83794i | −0.804116 | − | 0.315592i | ||||
\(236\) | 19.4030 | + | 5.02171i | 1.26303 | + | 0.326885i | ||||
\(237\) | 19.4827 | + | 15.5369i | 1.26554 | + | 1.00923i | ||||
\(238\) | −9.15625 | + | 2.80440i | −0.593512 | + | 0.181782i | ||||
\(239\) | −9.27210 | − | 11.6268i | −0.599762 | − | 0.752078i | 0.385579 | − | 0.922675i | \(-0.374002\pi\) |
−0.985341 | + | 0.170597i | \(0.945430\pi\) | |||||||
\(240\) | −4.16262 | − | 8.27880i | −0.268696 | − | 0.534394i | ||||
\(241\) | 1.89431 | + | 25.2779i | 0.122024 | + | 1.62829i | 0.636844 | + | 0.770993i | \(0.280240\pi\) |
−0.514820 | + | 0.857298i | \(0.672141\pi\) | |||||||
\(242\) | 4.85219 | − | 3.75626i | 0.311910 | − | 0.241461i | ||||
\(243\) | 5.43130 | − | 5.85355i | 0.348418 | − | 0.375505i | ||||
\(244\) | 7.49589 | − | 0.344640i | 0.479875 | − | 0.0220633i | ||||
\(245\) | 3.80111 | + | 7.41536i | 0.242844 | + | 0.473750i | ||||
\(246\) | −4.67423 | − | 4.46426i | −0.298018 | − | 0.284631i | ||||
\(247\) | −12.3098 | − | 11.4219i | −0.783256 | − | 0.726755i | ||||
\(248\) | −5.48263 | − | 6.44725i | −0.348147 | − | 0.409401i | ||||
\(249\) | −0.865936 | − | 11.5551i | −0.0548764 | − | 0.732275i | ||||
\(250\) | −5.47241 | + | 13.3729i | −0.346105 | + | 0.845775i | ||||
\(251\) | 18.2316 | − | 14.5392i | 1.15077 | − | 0.917706i | 0.153254 | − | 0.988187i | \(-0.451025\pi\) |
0.997513 | + | 0.0704810i | \(0.0224534\pi\) | |||||||
\(252\) | −3.29865 | + | 2.54313i | −0.207795 | + | 0.160202i | ||||
\(253\) | −13.4995 | − | 10.7655i | −0.848705 | − | 0.676819i | ||||
\(254\) | −19.9052 | + | 11.1125i | −1.24896 | + | 0.697260i | ||||
\(255\) | 2.16607 | − | 5.51907i | 0.135645 | − | 0.345617i | ||||
\(256\) | 14.1698 | − | 7.43070i | 0.885616 | − | 0.464419i | ||||
\(257\) | 1.22337 | − | 16.3247i | 0.0763117 | − | 1.01831i | −0.819269 | − | 0.573409i | \(-0.805620\pi\) |
0.895581 | − | 0.444899i | \(-0.146761\pi\) | |||||||
\(258\) | 12.1088 | + | 18.3228i | 0.753860 | + | 1.14073i | ||||
\(259\) | 3.21264 | − | 3.05613i | 0.199624 | − | 0.189899i | ||||
\(260\) | −10.9487 | + | 3.03419i | −0.679008 | + | 0.188173i | ||||
\(261\) | 0.542933 | + | 3.60212i | 0.0336067 | + | 0.222966i | ||||
\(262\) | 2.79311 | + | 13.1062i | 0.172559 | + | 0.809706i | ||||
\(263\) | −14.6725 | − | 25.4136i | −0.904747 | − | 1.56707i | −0.821257 | − | 0.570559i | \(-0.806727\pi\) |
−0.0834904 | − | 0.996509i | \(-0.526607\pi\) | |||||||
\(264\) | 20.3893 | − | 7.00018i | 1.25488 | − | 0.430831i | ||||
\(265\) | 0.556636 | − | 0.268062i | 0.0341939 | − | 0.0164669i | ||||
\(266\) | 12.2661 | − | 4.78595i | 0.752081 | − | 0.293445i | ||||
\(267\) | −6.89362 | + | 14.3147i | −0.421883 | + | 0.876048i | ||||
\(268\) | −17.7060 | + | 13.3028i | −1.08157 | + | 0.812598i | ||||
\(269\) | −6.07796 | − | 6.55048i | −0.370580 | − | 0.399390i | 0.520038 | − | 0.854143i | \(-0.325918\pi\) |
−0.890617 | + | 0.454753i | \(0.849727\pi\) | |||||||
\(270\) | −0.104591 | + | 7.24893i | −0.00636522 | + | 0.441156i | ||||
\(271\) | −8.76628 | + | 5.97675i | −0.532514 | + | 0.363062i | −0.799526 | − | 0.600631i | \(-0.794916\pi\) |
0.267012 | + | 0.963693i | \(0.413964\pi\) | |||||||
\(272\) | 9.59214 | + | 3.57670i | 0.581609 | + | 0.216869i | ||||
\(273\) | 10.9352 | + | 22.0027i | 0.661826 | + | 1.33166i | ||||
\(274\) | 6.63501 | − | 20.4575i | 0.400836 | − | 1.23588i | ||||
\(275\) | −12.1526 | − | 7.01629i | −0.732827 | − | 0.423098i | ||||
\(276\) | −9.25294 | − | 14.4504i | −0.556962 | − | 0.869811i | ||||
\(277\) | −2.77833 | + | 4.07507i | −0.166934 | + | 0.244847i | −0.900586 | − | 0.434679i | \(-0.856862\pi\) |
0.733652 | + | 0.679526i | \(0.237814\pi\) | |||||||
\(278\) | 6.91257 | + | 4.86046i | 0.414588 | + | 0.291511i | ||||
\(279\) | −0.524101 | − | 2.29624i | −0.0313771 | − | 0.137472i | ||||
\(280\) | 1.59871 | − | 8.76354i | 0.0955413 | − | 0.523722i | ||||
\(281\) | −5.01512 | + | 21.9727i | −0.299177 | + | 1.31078i | 0.572179 | + | 0.820128i | \(0.306098\pi\) |
−0.871356 | + | 0.490651i | \(0.836759\pi\) | |||||||
\(282\) | 22.7407 | − | 20.4977i | 1.35419 | − | 1.22062i | ||||
\(283\) | 3.63787 | + | 11.7937i | 0.216249 | + | 0.701062i | 0.997083 | + | 0.0763237i | \(0.0243182\pi\) |
−0.780834 | + | 0.624738i | \(0.785206\pi\) | |||||||
\(284\) | −16.5900 | − | 5.64645i | −0.984436 | − | 0.335055i | ||||
\(285\) | −2.40284 | + | 7.78981i | −0.142332 | + | 0.461428i | ||||
\(286\) | −3.56190 | − | 26.1902i | −0.210620 | − | 1.54866i | ||||
\(287\) | −1.00246 | − | 6.13234i | −0.0591736 | − | 0.361980i | ||||
\(288\) | 4.45273 | − | 0.0118544i | 0.262380 | − | 0.000698528i | ||||
\(289\) | −3.81777 | − | 9.72752i | −0.224575 | − | 0.572207i | ||||
\(290\) | −6.02053 | − | 4.94498i | −0.353538 | − | 0.290379i | ||||
\(291\) | −3.58109 | + | 23.7589i | −0.209927 | + | 1.39277i | ||||
\(292\) | 2.75965 | − | 3.26275i | 0.161496 | − | 0.190938i | ||||
\(293\) | − | 20.8504i | − | 1.21810i | −0.793134 | − | 0.609048i | \(-0.791552\pi\) | ||
0.793134 | − | 0.609048i | \(-0.208448\pi\) | |||||||
\(294\) | −19.2639 | + | 0.201319i | −1.12350 | + | 0.0117412i | ||||
\(295\) | −11.9292 | −0.694545 | ||||||||
\(296\) | −4.71346 | + | 0.503018i | −0.273964 | + | 0.0292373i | ||||
\(297\) | −16.6774 | − | 2.51372i | −0.967723 | − | 0.145861i | ||||
\(298\) | −16.7098 | + | 20.3442i | −0.967971 | + | 1.17851i | ||||
\(299\) | −19.5840 | + | 7.68615i | −1.13257 | + | 0.444502i | ||||
\(300\) | −9.18627 | − | 10.4920i | −0.530370 | − | 0.605754i | ||||
\(301\) | −1.31580 | + | 21.0724i | −0.0758414 | + | 1.21459i | ||||
\(302\) | 1.04940 | + | 7.71607i | 0.0603860 | + | 0.444010i | ||||
\(303\) | 26.5179 | + | 8.17970i | 1.52342 | + | 0.469911i | ||||
\(304\) | −13.5194 | − | 3.91845i | −0.775389 | − | 0.224739i | ||||
\(305\) | −4.26786 | + | 1.31646i | −0.244377 | + | 0.0753802i | ||||
\(306\) | 1.90748 | + | 2.11620i | 0.109043 | + | 0.120975i | ||||
\(307\) | −10.1933 | − | 2.32655i | −0.581760 | − | 0.132783i | −0.0784943 | − | 0.996915i | \(-0.525011\pi\) |
−0.503266 | + | 0.864132i | \(0.667868\pi\) | |||||||
\(308\) | 19.7005 | + | 6.43281i | 1.12254 | + | 0.366544i | ||||
\(309\) | −32.0555 | + | 7.31646i | −1.82357 | + | 0.416219i | ||||
\(310\) | 4.12067 | + | 2.89738i | 0.234038 | + | 0.164560i | ||||
\(311\) | −2.60019 | − | 1.77278i | −0.147443 | − | 0.100525i | 0.487351 | − | 0.873206i | \(-0.337963\pi\) |
−0.634795 | + | 0.772681i | \(0.718915\pi\) | |||||||
\(312\) | 5.03502 | − | 25.7796i | 0.285052 | − | 1.45948i | ||||
\(313\) | 3.28172 | − | 5.68411i | 0.185494 | − | 0.321285i | −0.758249 | − | 0.651965i | \(-0.773945\pi\) |
0.943743 | + | 0.330680i | \(0.107278\pi\) | |||||||
\(314\) | 8.93654 | + | 2.89840i | 0.504318 | + | 0.163566i | ||||
\(315\) | 1.52147 | − | 1.95733i | 0.0857253 | − | 0.110283i | ||||
\(316\) | 10.0403 | − | 23.5598i | 0.564811 | − | 1.32534i | ||||
\(317\) | −8.45911 | − | 12.4072i | −0.475111 | − | 0.696859i | 0.511622 | − | 0.859210i | \(-0.329045\pi\) |
−0.986733 | + | 0.162351i | \(0.948092\pi\) | |||||||
\(318\) | −0.0206070 | + | 1.42821i | −0.00115558 | + | 0.0800901i | ||||
\(319\) | 13.2867 | − | 12.3282i | 0.743911 | − | 0.690249i | ||||
\(320\) | −7.05675 | + | 6.39486i | −0.394484 | + | 0.357484i | ||||
\(321\) | 16.2385 | + | 7.82005i | 0.906345 | + | 0.436473i | ||||
\(322\) | 1.26543 | − | 16.4471i | 0.0705198 | − | 0.916558i | ||||
\(323\) | −3.90760 | − | 8.11422i | −0.217425 | − | 0.451488i | ||||
\(324\) | −19.0791 | − | 9.87598i | −1.05995 | − | 0.548665i | ||||
\(325\) | −14.8073 | + | 8.54897i | −0.821359 | + | 0.474212i | ||||
\(326\) | 2.46746 | + | 11.5782i | 0.136660 | + | 0.641255i | ||||
\(327\) | −11.9076 | + | 1.79478i | −0.658490 | + | 0.0992515i | ||||
\(328\) | −3.13845 | + | 5.85461i | −0.173292 | + | 0.323267i | ||||
\(329\) | 29.3199 | − | 2.56433i | 1.61646 | − | 0.141376i | ||||
\(330\) | −10.7047 | + | 7.07430i | −0.589275 | + | 0.389428i | ||||
\(331\) | 16.2772 | + | 1.21981i | 0.894675 | + | 0.0670466i | 0.514126 | − | 0.857714i | \(-0.328116\pi\) |
0.380548 | + | 0.924761i | \(0.375735\pi\) | |||||||
\(332\) | −11.2064 | + | 4.02910i | −0.615031 | + | 0.221125i | ||||
\(333\) | −1.22800 | − | 0.481954i | −0.0672939 | − | 0.0264109i | ||||
\(334\) | 15.4327 | − | 8.61562i | 0.844438 | − | 0.471426i | ||||
\(335\) | 8.21861 | − | 10.3058i | 0.449031 | − | 0.563067i | ||||
\(336\) | 16.4740 | + | 12.3599i | 0.898732 | + | 0.674286i | ||||
\(337\) | 19.2302 | + | 24.1139i | 1.04753 | + | 1.31357i | 0.947909 | + | 0.318540i | \(0.103193\pi\) |
0.0996244 | + | 0.995025i | \(0.468236\pi\) | |||||||
\(338\) | −12.7908 | − | 5.23420i | −0.695727 | − | 0.284703i | ||||
\(339\) | 30.4623 | − | 2.28283i | 1.65448 | − | 0.123986i | ||||
\(340\) | −6.06055 | − | 0.630465i | −0.328679 | − | 0.0341917i | ||||
\(341\) | −7.97092 | + | 8.59061i | −0.431650 | + | 0.465208i | ||||
\(342\) | −2.83280 | − | 2.70555i | −0.153181 | − | 0.146300i | ||||
\(343\) | −14.9004 | − | 10.9989i | −0.804548 | − | 0.593887i | ||||
\(344\) | 14.8233 | − | 17.0214i | 0.799217 | − | 0.917732i | ||||
\(345\) | 7.48670 | + | 6.94665i | 0.403071 | + | 0.373995i | ||||
\(346\) | −3.65420 | − | 4.72036i | −0.196451 | − | 0.253768i | ||||
\(347\) | 15.1844 | − | 1.13791i | 0.815140 | − | 0.0610863i | 0.339367 | − | 0.940654i | \(-0.389787\pi\) |
0.475773 | + | 0.879568i | \(0.342168\pi\) | |||||||
\(348\) | 16.4473 | − | 7.34379i | 0.881665 | − | 0.393668i | ||||
\(349\) | 1.37333 | − | 1.09520i | 0.0735128 | − | 0.0586245i | −0.586044 | − | 0.810279i | \(-0.699315\pi\) |
0.659557 | + | 0.751655i | \(0.270744\pi\) | |||||||
\(350\) | −0.975253 | − | 13.3706i | −0.0521295 | − | 0.714689i | ||||
\(351\) | −12.8128 | + | 16.0667i | −0.683896 | + | 0.857578i | ||||
\(352\) | −12.5291 | − | 18.2721i | −0.667802 | − | 0.973905i | ||||
\(353\) | 7.74842 | − | 19.7427i | 0.412407 | − | 1.05080i | −0.562225 | − | 0.826984i | \(-0.690055\pi\) |
0.974632 | − | 0.223812i | \(-0.0718501\pi\) | |||||||
\(354\) | 12.3236 | − | 24.6731i | 0.654990 | − | 1.31136i | ||||
\(355\) | 10.4015 | + | 0.779485i | 0.552054 | + | 0.0413707i | ||||
\(356\) | 16.0693 | + | 2.89847i | 0.851669 | + | 0.153618i | ||||
\(357\) | 1.14812 | + | 13.1273i | 0.0607650 | + | 0.694769i | ||||
\(358\) | 15.6691 | − | 26.2574i | 0.828139 | − | 1.38775i | ||||
\(359\) | −9.54606 | + | 1.43884i | −0.503822 | + | 0.0759389i | −0.396036 | − | 0.918235i | \(-0.629614\pi\) |
−0.107786 | + | 0.994174i | \(0.534376\pi\) | |||||||
\(360\) | −2.56397 | + | 0.670873i | −0.135133 | + | 0.0353581i | ||||
\(361\) | −3.30851 | − | 5.73050i | −0.174132 | − | 0.301605i | ||||
\(362\) | −2.09700 | + | 0.613850i | −0.110216 | + | 0.0322632i | ||||
\(363\) | −3.66366 | − | 7.60767i | −0.192292 | − | 0.399299i | ||||
\(364\) | 18.7900 | − | 16.8691i | 0.984861 | − | 0.884180i | ||||
\(365\) | −1.10358 | + | 2.29160i | −0.0577639 | + | 0.119948i | ||||
\(366\) | 1.68612 | − | 10.1872i | 0.0881350 | − | 0.532492i | ||||
\(367\) | 27.9537 | − | 25.9373i | 1.45917 | − | 1.35391i | 0.663524 | − | 0.748155i | \(-0.269060\pi\) |
0.795648 | − | 0.605759i | \(-0.207131\pi\) | |||||||
\(368\) | −11.7719 | + | 13.1302i | −0.613654 | + | 0.684457i | ||||
\(369\) | −1.52743 | + | 1.04139i | −0.0795150 | + | 0.0542124i | ||||
\(370\) | 2.64096 | − | 0.992773i | 0.137297 | − | 0.0516118i | ||||
\(371\) | −0.842721 | + | 1.08413i | −0.0437519 | + | 0.0562854i | ||||
\(372\) | −10.2495 | + | 5.52959i | −0.531414 | + | 0.286696i | ||||
\(373\) | −17.3776 | − | 10.0330i | −0.899778 | − | 0.519487i | −0.0226499 | − | 0.999743i | \(-0.507210\pi\) |
−0.877128 | + | 0.480256i | \(0.840544\pi\) | |||||||
\(374\) | 3.35339 | − | 13.7731i | 0.173400 | − | 0.712191i | ||||
\(375\) | 16.4283 | + | 11.2006i | 0.848352 | + | 0.578397i | ||||
\(376\) | −26.5423 | − | 16.8962i | −1.36882 | − | 0.871357i | ||||
\(377\) | −4.91427 | − | 21.5308i | −0.253098 | − | 1.10889i | ||||
\(378\) | −6.96224 | − | 14.5311i | −0.358099 | − | 0.747398i | ||||
\(379\) | 2.76704 | + | 0.631559i | 0.142133 | + | 0.0324410i | 0.292996 | − | 0.956114i | \(-0.405348\pi\) |
−0.150862 | + | 0.988555i | \(0.548205\pi\) | |||||||
\(380\) | 8.37445 | + | 0.241712i | 0.429600 | + | 0.0123996i | ||||
\(381\) | 9.24656 | + | 29.9766i | 0.473716 | + | 1.53575i | ||||
\(382\) | 3.31966 | + | 7.15563i | 0.169849 | + | 0.366114i | ||||
\(383\) | 23.1639 | + | 7.14512i | 1.18362 | + | 0.365099i | 0.823233 | − | 0.567704i | \(-0.192168\pi\) |
0.360388 | + | 0.932802i | \(0.382644\pi\) | |||||||
\(384\) | −5.93643 | − | 21.2017i | −0.302942 | − | 1.08195i | ||||
\(385\) | −12.3111 | − | 0.768728i | −0.627431 | − | 0.0391780i | ||||
\(386\) | −15.2052 | − | 1.36033i | −0.773925 | − | 0.0692391i | ||||
\(387\) | 5.84726 | − | 2.29488i | 0.297233 | − | 0.116655i | ||||
\(388\) | 24.5135 | − | 2.97435i | 1.24449 | − | 0.151000i | ||||
\(389\) | 1.15754 | − | 7.67977i | 0.0586896 | − | 0.389380i | −0.940130 | − | 0.340815i | \(-0.889297\pi\) |
0.998820 | − | 0.0485650i | \(-0.0154648\pi\) | |||||||
\(390\) | 0.943287 | + | 15.6055i | 0.0477652 | + | 0.790216i | ||||
\(391\) | −11.2831 | −0.570613 | ||||||||
\(392\) | 5.48668 | + | 19.0236i | 0.277119 | + | 0.960836i | ||||
\(393\) | 18.4401 | 0.930180 | ||||||||
\(394\) | −0.180752 | − | 2.99032i | −0.00910616 | − | 0.150650i | ||||
\(395\) | −2.27187 | + | 15.0729i | −0.114310 | + | 0.758399i | ||||
\(396\) | −0.742665 | − | 6.12079i | −0.0373203 | − | 0.307581i | ||||
\(397\) | −10.7303 | + | 4.21134i | −0.538539 | + | 0.211361i | −0.618992 | − | 0.785397i | \(-0.712459\pi\) |
0.0804528 | + | 0.996758i | \(0.474363\pi\) | |||||||
\(398\) | 17.8618 | + | 1.59801i | 0.895333 | + | 0.0801008i | ||||
\(399\) | −2.92303 | − | 17.8810i | −0.146335 | − | 0.895168i | ||||
\(400\) | −7.86983 | + | 11.9777i | −0.393491 | + | 0.598884i | ||||
\(401\) | 31.4356 | + | 9.69660i | 1.56982 | + | 0.484225i | 0.953023 | − | 0.302898i | \(-0.0979543\pi\) |
0.616796 | + | 0.787123i | \(0.288430\pi\) | |||||||
\(402\) | 12.8252 | + | 27.6450i | 0.639661 | + | 1.37881i | ||||
\(403\) | 4.20879 | + | 13.6446i | 0.209655 | + | 0.679684i | ||||
\(404\) | 0.822832 | − | 28.5082i | 0.0409374 | − | 1.41833i | ||||
\(405\) | 12.4665 | + | 2.84540i | 0.619467 | + | 0.141389i | ||||
\(406\) | 16.8742 | + | 3.88674i | 0.837451 | + | 0.192896i | ||||
\(407\) | 1.46057 | + | 6.39918i | 0.0723978 | + | 0.317196i | ||||
\(408\) | 7.56489 | − | 11.8837i | 0.374518 | − | 0.588331i | ||||
\(409\) | −0.195955 | − | 0.133600i | −0.00968934 | − | 0.00660608i | 0.558466 | − | 0.829528i | \(-0.311390\pi\) |
−0.568155 | + | 0.822922i | \(0.692343\pi\) | |||||||
\(410\) | 0.935320 | − | 3.84156i | 0.0461921 | − | 0.189721i | ||||
\(411\) | −25.6297 | − | 14.7973i | −1.26422 | − | 0.729897i | ||||
\(412\) | 16.0443 | + | 29.7394i | 0.790446 | + | 1.46515i | ||||
\(413\) | 23.7428 | − | 11.8000i | 1.16831 | − | 0.580639i | ||||
\(414\) | −4.59379 | + | 1.72687i | −0.225773 | + | 0.0848711i | ||||
\(415\) | 5.85645 | − | 3.99286i | 0.287482 | − | 0.196002i | ||||
\(416\) | −26.9138 | + | 2.08898i | −1.31956 | + | 0.102421i | ||||
\(417\) | 8.52409 | − | 7.90920i | 0.417427 | − | 0.387315i | ||||
\(418\) | −3.18267 | + | 19.2290i | −0.155670 | + | 0.940522i | ||||
\(419\) | −7.22554 | + | 15.0040i | −0.352991 | + | 0.732993i | −0.999554 | − | 0.0298678i | \(-0.990491\pi\) |
0.646563 | + | 0.762860i | \(0.276206\pi\) | |||||||
\(420\) | −11.3359 | − | 4.66516i | −0.553133 | − | 0.227637i | ||||
\(421\) | 13.5471 | + | 28.1308i | 0.660244 | + | 1.37101i | 0.914782 | + | 0.403949i | \(0.132363\pi\) |
−0.254537 | + | 0.967063i | \(0.581923\pi\) | |||||||
\(422\) | −30.1938 | + | 8.83858i | −1.46981 | + | 0.430255i | ||||
\(423\) | −4.37815 | − | 7.58317i | −0.212873 | − | 0.368707i | ||||
\(424\) | 1.42014 | − | 0.371586i | 0.0689683 | − | 0.0180458i | ||||
\(425\) | −9.06746 | + | 1.36670i | −0.439837 | + | 0.0662947i | ||||
\(426\) | −12.3576 | + | 20.7081i | −0.598726 | + | 1.00331i | ||||
\(427\) | 7.19217 | − | 6.84179i | 0.348053 | − | 0.331098i | ||||
\(428\) | 3.28799 | − | 18.2288i | 0.158931 | − | 0.881123i | ||||
\(429\) | −36.2696 | − | 2.71803i | −1.75111 | − | 0.131228i | ||||
\(430\) | −6.00299 | + | 12.0186i | −0.289490 | + | 0.579590i | ||||
\(431\) | −6.08756 | + | 15.5108i | −0.293227 | + | 0.747131i | 0.706015 | + | 0.708197i | \(0.250491\pi\) |
−0.999242 | + | 0.0389336i | \(0.987604\pi\) | |||||||
\(432\) | −3.54547 | + | 16.8566i | −0.170581 | + | 0.811012i | ||||
\(433\) | −14.9458 | + | 18.7414i | −0.718247 | + | 0.900653i | −0.998237 | − | 0.0593496i | \(-0.981097\pi\) |
0.279990 | + | 0.960003i | \(0.409669\pi\) | |||||||
\(434\) | −11.0674 | − | 1.69066i | −0.531253 | − | 0.0811543i | ||||
\(435\) | −8.38199 | + | 6.68441i | −0.401886 | + | 0.320493i | ||||
\(436\) | 5.04575 | + | 11.3005i | 0.241648 | + | 0.541198i | ||||
\(437\) | 15.4704 | − | 1.15935i | 0.740051 | − | 0.0554591i | ||||
\(438\) | −3.59965 | − | 4.64989i | −0.171998 | − | 0.222180i | ||||
\(439\) | −21.6430 | − | 20.0818i | −1.03296 | − | 0.958450i | −0.0338033 | − | 0.999429i | \(-0.510762\pi\) |
−0.999160 | + | 0.0409786i | \(0.986952\pi\) | |||||||
\(440\) | 9.94440 | + | 8.66019i | 0.474081 | + | 0.412859i | ||||
\(441\) | −1.09208 | + | 5.40068i | −0.0520040 | + | 0.257175i | ||||
\(442\) | −12.4905 | − | 11.9294i | −0.594113 | − | 0.567425i | ||||
\(443\) | 25.4157 | − | 27.3916i | 1.20754 | − | 1.30142i | 0.266213 | − | 0.963914i | \(-0.414228\pi\) |
0.941325 | − | 0.337502i | \(-0.109582\pi\) | |||||||
\(444\) | −0.674919 | + | 6.48787i | −0.0320302 | + | 0.307901i | ||||
\(445\) | −9.69162 | + | 0.726287i | −0.459427 | + | 0.0344293i | ||||
\(446\) | 14.0020 | + | 5.72986i | 0.663015 | + | 0.271317i | ||||
\(447\) | 22.5876 | + | 28.3239i | 1.06835 | + | 1.33967i | ||||
\(448\) | 7.71954 | − | 19.7081i | 0.364714 | − | 0.931120i | ||||
\(449\) | −16.7446 | + | 20.9970i | −0.790225 | + | 0.990911i | 0.209689 | + | 0.977768i | \(0.432755\pi\) |
−0.999914 | + | 0.0131425i | \(0.995817\pi\) | |||||||
\(450\) | −3.48253 | + | 1.94420i | −0.164168 | + | 0.0916504i | ||||
\(451\) | 8.56234 | + | 3.36047i | 0.403185 | + | 0.158238i | ||||
\(452\) | −10.6217 | − | 29.5430i | −0.499605 | − | 1.38959i | ||||
\(453\) | 10.6856 | + | 0.800779i | 0.502056 | + | 0.0376239i | ||||
\(454\) | −14.6717 | + | 9.69594i | −0.688578 | + | 0.455053i | ||||
\(455\) | −8.31137 | + | 12.5224i | −0.389643 | + | 0.587060i | ||||
\(456\) | −9.15124 | + | 17.0711i | −0.428546 | + | 0.799429i | ||||
\(457\) | −17.9694 | + | 2.70845i | −0.840572 | + | 0.126696i | −0.555196 | − | 0.831720i | \(-0.687357\pi\) |
−0.285376 | + | 0.958416i | \(0.592119\pi\) | |||||||
\(458\) | 7.79462 | + | 36.5750i | 0.364219 | + | 1.70904i | ||||
\(459\) | −9.54475 | + | 5.51066i | −0.445511 | + | 0.257216i | ||||
\(460\) | 4.82505 | − | 9.32138i | 0.224969 | − | 0.434612i | ||||
\(461\) | 9.06077 | + | 18.8149i | 0.422002 | + | 0.876296i | 0.998256 | + | 0.0590259i | \(0.0187995\pi\) |
−0.576254 | + | 0.817270i | \(0.695486\pi\) | |||||||
\(462\) | 14.3080 | − | 24.6688i | 0.665670 | − | 1.14770i | ||||
\(463\) | −18.7783 | − | 9.04316i | −0.872703 | − | 0.420271i | −0.0567488 | − | 0.998388i | \(-0.518073\pi\) |
−0.815954 | + | 0.578117i | \(0.803788\pi\) | |||||||
\(464\) | −11.7874 | − | 14.2736i | −0.547218 | − | 0.662635i | ||||
\(465\) | 5.08132 | − | 4.71477i | 0.235640 | − | 0.218642i | ||||
\(466\) | 0.410535 | − | 28.4530i | 0.0190176 | − | 1.31806i | ||||
\(467\) | −14.6659 | − | 21.5109i | −0.678657 | − | 0.995408i | −0.998845 | − | 0.0480533i | \(-0.984698\pi\) |
0.320187 | − | 0.947354i | \(-0.396254\pi\) | |||||||
\(468\) | −6.91114 | − | 2.94526i | −0.319468 | − | 0.136145i | ||||
\(469\) | −6.16343 | + | 28.6414i | −0.284601 | + | 1.32254i | ||||
\(470\) | 17.8139 | + | 5.77759i | 0.821693 | + | 0.266501i | ||||
\(471\) | 6.46396 | − | 11.1959i | 0.297844 | − | 0.515880i | ||||
\(472\) | −27.8184 | − | 5.43322i | −1.28045 | − | 0.250084i | ||||
\(473\) | −25.8234 | − | 17.6061i | −1.18736 | − | 0.809528i | ||||
\(474\) | −28.8282 | − | 20.2701i | −1.32412 | − | 0.931036i | ||||
\(475\) | 12.2921 | − | 2.80558i | 0.563998 | − | 0.128729i | ||||
\(476\) | 12.6860 | − | 4.74008i | 0.581463 | − | 0.217261i | ||||
\(477\) | 0.398283 | + | 0.0909056i | 0.0182361 | + | 0.00416228i | ||||
\(478\) | 14.0809 | + | 15.6217i | 0.644046 | + | 0.714521i | ||||
\(479\) | 28.4803 | − | 8.78502i | 1.30130 | − | 0.401398i | 0.434778 | − | 0.900538i | \(-0.356827\pi\) |
0.866521 | + | 0.499140i | \(0.166351\pi\) | |||||||
\(480\) | 6.58251 | + | 11.3315i | 0.300449 | + | 0.517209i | ||||
\(481\) | 7.64227 | + | 2.35733i | 0.348458 | + | 0.107485i | ||||
\(482\) | −4.83098 | − | 35.5215i | −0.220045 | − | 1.61796i | ||||
\(483\) | −21.7723 | − | 6.42039i | −0.990673 | − | 0.292138i | ||||
\(484\) | −6.52901 | + | 5.71650i | −0.296773 | + | 0.259841i | ||||
\(485\) | −13.6815 | + | 5.36961i | −0.621246 | + | 0.243821i | ||||
\(486\) | −7.16756 | + | 8.72653i | −0.325127 | + | 0.395843i | ||||
\(487\) | 36.1139 | + | 5.44329i | 1.63648 | + | 0.246659i | 0.901925 | − | 0.431893i | \(-0.142154\pi\) |
0.734552 | + | 0.678553i | \(0.237392\pi\) | |||||||
\(488\) | −10.5521 | + | 1.12611i | −0.477669 | + | 0.0509767i | ||||
\(489\) | 16.2902 | 0.736667 | ||||||||
\(490\) | −5.99853 | − | 10.1435i | −0.270986 | − | 0.458235i | ||||
\(491\) | − | 7.21185i | − | 0.325466i | −0.986670 | − | 0.162733i | \(-0.947969\pi\) | ||
0.986670 | − | 0.162733i | \(-0.0520309\pi\) | |||||||
\(492\) | 6.97925 | + | 5.90308i | 0.314649 | + | 0.266131i | ||||
\(493\) | 1.76530 | − | 11.7120i | 0.0795050 | − | 0.527481i | ||||
\(494\) | 18.3516 | + | 15.0731i | 0.825678 | + | 0.678173i | ||||
\(495\) | 1.34074 | + | 3.41614i | 0.0602617 | + | 0.153544i | ||||
\(496\) | 8.28961 | + | 8.63336i | 0.372214 | + | 0.387649i | ||||
\(497\) | −21.4733 | + | 8.73741i | −0.963208 | + | 0.391927i | ||||
\(498\) | 2.20836 | + | 16.2377i | 0.0989588 | + | 0.727630i | ||||
\(499\) | −3.38145 | + | 10.9624i | −0.151375 | + | 0.490744i | −0.999220 | − | 0.0394998i | \(-0.987424\pi\) |
0.847845 | + | 0.530244i | \(0.177900\pi\) | |||||||
\(500\) | 6.58398 | − | 19.3446i | 0.294444 | − | 0.865116i | ||||
\(501\) | −7.16894 | − | 23.2411i | −0.320285 | − | 1.03834i | ||||
\(502\) | −24.4958 | + | 22.0797i | −1.09330 | + | 0.985466i | ||||
\(503\) | −4.66031 | + | 20.4182i | −0.207793 | + | 0.910401i | 0.758239 | + | 0.651977i | \(0.226060\pi\) |
−0.966032 | + | 0.258424i | \(0.916797\pi\) | |||||||
\(504\) | 4.43949 | − | 3.87144i | 0.197751 | − | 0.172448i | ||||
\(505\) | 3.77734 | + | 16.5496i | 0.168089 | + | 0.736447i | ||||
\(506\) | 19.9750 | + | 14.0451i | 0.887995 | + | 0.624379i | ||||
\(507\) | −10.7131 | + | 15.7132i | −0.475784 | + | 0.697847i | ||||
\(508\) | 27.1507 | − | 17.3853i | 1.20462 | − | 0.771347i | ||||
\(509\) | 9.79074 | + | 5.65269i | 0.433967 | + | 0.250551i | 0.701035 | − | 0.713127i | \(-0.252722\pi\) |
−0.267068 | + | 0.963678i | \(0.586055\pi\) | |||||||
\(510\) | −2.58678 | + | 7.97574i | −0.114545 | + | 0.353172i | ||||
\(511\) | −0.0703159 | − | 5.65263i | −0.00311059 | − | 0.250058i | ||||
\(512\) | −19.3686 | + | 11.6985i | −0.855981 | + | 0.517007i | ||||
\(513\) | 12.5207 | − | 8.53645i | 0.552801 | − | 0.376893i | ||||
\(514\) | −0.334005 | + | 23.1490i | −0.0147323 | + | 1.02106i | ||||
\(515\) | −13.6801 | − | 14.7436i | −0.602816 | − | 0.649681i | ||||
\(516\) | −18.6566 | − | 24.8319i | −0.821313 | − | 1.09316i | ||||
\(517\) | −18.9034 | + | 39.2532i | −0.831369 | + | 1.72635i | ||||
\(518\) | −4.27431 | + | 4.58828i | −0.187802 | + | 0.201597i | ||||
\(519\) | −7.40097 | + | 3.56412i | −0.324867 | + | 0.156447i | ||||
\(520\) | 15.1967 | − | 5.21740i | 0.666418 | − | 0.228798i | ||||
\(521\) | 0.619679 | + | 1.07332i | 0.0271486 | + | 0.0470228i | 0.879281 | − | 0.476304i | \(-0.158024\pi\) |
−0.852132 | + | 0.523327i | \(0.824691\pi\) | |||||||
\(522\) | −1.07378 | − | 5.03856i | −0.0469983 | − | 0.220532i | ||||
\(523\) | 2.80848 | + | 18.6331i | 0.122806 | + | 0.814768i | 0.962416 | + | 0.271578i | \(0.0875454\pi\) |
−0.839610 | + | 0.543190i | \(0.817216\pi\) | |||||||
\(524\) | −5.06118 | − | 18.2629i | −0.221099 | − | 0.797819i | ||||
\(525\) | −18.2745 | − | 2.52239i | −0.797565 | − | 0.110086i | ||||
\(526\) | 22.8808 | + | 34.6228i | 0.997649 | + | 1.50962i | ||||
\(527\) | −0.572284 | + | 7.63659i | −0.0249291 | + | 0.332655i | ||||
\(528\) | −28.1850 | + | 11.6215i | −1.22659 | + | 0.505760i | ||||
\(529\) | −1.30200 | + | 3.31744i | −0.0566087 | + | 0.144237i | ||||
\(530\) | −0.762895 | + | 0.425902i | −0.0331380 | + | 0.0185000i | ||||
\(531\) | −6.16713 | − | 4.91812i | −0.267630 | − | 0.213428i | ||||
\(532\) | −16.9069 | + | 7.80266i | −0.733006 | + | 0.338288i | ||||
\(533\) | 8.76237 | − | 6.98776i | 0.379540 | − | 0.302673i | ||||
\(534\) | 8.50985 | − | 20.7954i | 0.368257 | − | 0.899907i | ||||
\(535\) | 0.823892 | + | 10.9941i | 0.0356200 | + | 0.475316i | ||||
\(536\) | 23.8593 | − | 20.2895i | 1.03057 | − | 0.876375i | ||||
\(537\) | −30.8443 | − | 28.6194i | −1.33103 | − | 1.23502i | ||||
\(538\) | 9.13881 | + | 8.72829i | 0.394002 | + | 0.376303i | ||||
\(539\) | 25.2633 | − | 10.6477i | 1.08817 | − | 0.458630i | ||||
\(540\) | −0.470888 | − | 10.2418i | −0.0202638 | − | 0.440736i | ||||
\(541\) | −8.72411 | + | 9.40235i | −0.375079 | + | 0.404239i | −0.892176 | − | 0.451688i | \(-0.850822\pi\) |
0.517097 | + | 0.855927i | \(0.327013\pi\) | |||||||
\(542\) | 11.8648 | − | 9.18501i | 0.509638 | − | 0.394530i | ||||
\(543\) | 0.224692 | + | 2.99830i | 0.00964245 | + | 0.128670i | ||||
\(544\) | −13.8458 | − | 4.23053i | −0.593634 | − | 0.181383i | ||||
\(545\) | −4.59271 | − | 5.75908i | −0.196730 | − | 0.246692i | ||||
\(546\) | −17.3139 | − | 30.1268i | −0.740967 | − | 1.28931i | ||||
\(547\) | 11.3057 | + | 9.01597i | 0.483395 | + | 0.385495i | 0.834646 | − | 0.550786i | \(-0.185672\pi\) |
−0.351251 | + | 0.936281i | \(0.614244\pi\) | |||||||
\(548\) | −7.62064 | + | 29.4447i | −0.325538 | + | 1.25782i | ||||
\(549\) | −2.74913 | − | 1.07895i | −0.117330 | − | 0.0460486i | ||||
\(550\) | 17.7537 | + | 8.86750i | 0.757020 | + | 0.378112i | ||||
\(551\) | −1.21700 | + | 16.2398i | −0.0518461 | + | 0.691838i | ||||
\(552\) | 14.2948 | + | 19.6092i | 0.608428 | + | 0.834622i | ||||
\(553\) | −10.3879 | − | 32.2470i | −0.441738 | − | 1.37128i | ||||
\(554\) | 3.57428 | − | 5.98958i | 0.151857 | − | 0.254473i | ||||
\(555\) | −0.578647 | − | 3.83907i | −0.0245622 | − | 0.162960i | ||||
\(556\) | −10.1728 | − | 6.27138i | −0.431422 | − | 0.265966i | ||||
\(557\) | 8.60876 | − | 4.97027i | 0.364765 | − | 0.210597i | −0.306404 | − | 0.951902i | \(-0.599126\pi\) |
0.671169 | + | 0.741304i | \(0.265792\pi\) | |||||||
\(558\) | 0.935772 | + | 3.19673i | 0.0396144 | + | 0.135328i | ||||
\(559\) | −34.3102 | + | 16.5229i | −1.45117 | + | 0.698846i | ||||
\(560\) | −1.50903 | + | 12.5074i | −0.0637681 | + | 0.528532i | ||||
\(561\) | −17.5747 | − | 8.46353i | −0.742005 | − | 0.357331i | ||||
\(562\) | 5.20465 | − | 31.4454i | 0.219545 | − | 1.32644i | ||||
\(563\) | 8.01839 | + | 8.64177i | 0.337935 | + | 0.364207i | 0.879040 | − | 0.476748i | \(-0.158184\pi\) |
−0.541105 | + | 0.840955i | \(0.681994\pi\) | |||||||
\(564\) | −30.3526 | + | 30.8758i | −1.27807 | + | 1.30010i | ||||
\(565\) | 10.5262 | + | 15.4391i | 0.442841 | + | 0.649529i | ||||
\(566\) | −6.14168 | − | 16.3380i | −0.258154 | − | 0.686737i | ||||
\(567\) | −27.6269 | + | 6.66825i | −1.16022 | + | 0.280040i | ||||
\(568\) | 23.9009 | + | 6.55515i | 1.00286 | + | 0.275048i | ||||
\(569\) | 12.4182 | − | 21.5089i | 0.520597 | − | 0.901701i | −0.479116 | − | 0.877752i | \(-0.659043\pi\) |
0.999713 | − | 0.0239491i | \(-0.00762398\pi\) | |||||||
\(570\) | 2.72725 | − | 11.2014i | 0.114232 | − | 0.469175i | ||||
\(571\) | 24.4496 | − | 35.8609i | 1.02318 | − | 1.50073i | 0.165728 | − | 0.986172i | \(-0.447003\pi\) |
0.857454 | − | 0.514561i | \(-0.172045\pi\) | |||||||
\(572\) | 7.26285 | + | 36.6671i | 0.303675 | + | 1.53313i | ||||
\(573\) | 10.5825 | − | 2.41539i | 0.442092 | − | 0.100905i | ||||
\(574\) | 1.93837 | + | 8.57110i | 0.0809061 | + | 0.357751i | ||||
\(575\) | 3.51492 | − | 15.3999i | 0.146582 | − | 0.642220i | ||||
\(576\) | −6.28463 | + | 0.396674i | −0.261859 | + | 0.0165281i | ||||
\(577\) | −40.1603 | + | 12.3878i | −1.67189 | + | 0.515711i | −0.978744 | − | 0.205084i | \(-0.934253\pi\) |
−0.693149 | + | 0.720795i | \(0.743777\pi\) | |||||||
\(578\) | 6.21933 | + | 13.4060i | 0.258690 | + | 0.557615i | ||||
\(579\) | −6.19193 | + | 20.0737i | −0.257328 | + | 0.834236i | ||||
\(580\) | 8.92075 | + | 6.46680i | 0.370414 | + | 0.268519i | ||||
\(581\) | −7.70655 | + | 13.7401i | −0.319722 | + | 0.570033i | ||||
\(582\) | 3.02790 | − | 33.8446i | 0.125511 | − | 1.40290i | ||||
\(583\) | −0.742614 | − | 1.89215i | −0.0307559 | − | 0.0783649i | ||||
\(584\) | −3.61723 | + | 4.84130i | −0.149682 | + | 0.200334i | ||||
\(585\) | 4.42155 | + | 0.666441i | 0.182808 | + | 0.0275539i | ||||
\(586\) | 1.77911 | + | 29.4332i | 0.0734946 | + | 1.21588i | ||||
\(587\) | − | 20.5741i | − | 0.849186i | −0.905384 | − | 0.424593i | \(-0.860417\pi\) | ||
0.905384 | − | 0.424593i | \(-0.139583\pi\) | |||||||
\(588\) | 27.1765 | − | 1.92793i | 1.12074 | − | 0.0795066i | ||||
\(589\) | − | 10.5294i | − | 0.433857i | ||||||
\(590\) | 16.8397 | − | 1.01789i | 0.693279 | − | 0.0419058i | ||||
\(591\) | −4.07636 | − | 0.614412i | −0.167679 | − | 0.0252735i | ||||
\(592\) | 6.61077 | − | 1.11227i | 0.271701 | − | 0.0457139i | ||||
\(593\) | −4.78755 | − | 12.1985i | −0.196601 | − | 0.500931i | 0.798245 | − | 0.602334i | \(-0.205762\pi\) |
−0.994845 | + | 0.101402i | \(0.967667\pi\) | |||||||
\(594\) | 23.7570 | + | 2.12542i | 0.974761 | + | 0.0872069i | ||||
\(595\) | −6.60300 | + | 4.62319i | −0.270696 | + | 0.189532i | ||||
\(596\) | 21.8522 | − | 30.1445i | 0.895102 | − | 1.23476i | ||||
\(597\) | 7.27377 | − | 23.5810i | 0.297695 | − | 0.965105i | ||||
\(598\) | 26.9897 | − | 12.5211i | 1.10369 | − | 0.512026i | ||||
\(599\) | −24.7697 | + | 7.64044i | −1.01206 | + | 0.312180i | −0.756065 | − | 0.654497i | \(-0.772880\pi\) |
−0.255998 | + | 0.966677i | \(0.582404\pi\) | |||||||
\(600\) | 13.8629 | + | 14.0270i | 0.565952 | + | 0.572650i | ||||
\(601\) | −4.03976 | + | 17.6993i | −0.164785 | + | 0.721971i | 0.823242 | + | 0.567691i | \(0.192163\pi\) |
−0.988027 | + | 0.154281i | \(0.950694\pi\) | |||||||
\(602\) | 0.0593789 | − | 29.8588i | 0.00242010 | − | 1.21695i | ||||
\(603\) | 8.49768 | − | 1.93954i | 0.346052 | − | 0.0789841i | ||||
\(604\) | −2.13976 | − | 10.8028i | −0.0870657 | − | 0.439558i | ||||
\(605\) | 2.90962 | − | 4.26762i | 0.118293 | − | 0.173504i | ||||
\(606\) | −38.1317 | − | 9.28406i | −1.54899 | − | 0.377139i | ||||
\(607\) | 7.64552 | − | 13.2424i | 0.310322 | − | 0.537494i | −0.668110 | − | 0.744063i | \(-0.732896\pi\) |
0.978432 | + | 0.206569i | \(0.0662298\pi\) | |||||||
\(608\) | 19.4188 | + | 4.37786i | 0.787536 | + | 0.177546i | ||||
\(609\) | 10.0708 | − | 21.5953i | 0.408088 | − | 0.875084i | ||||
\(610\) | 5.91233 | − | 2.22253i | 0.239383 | − | 0.0899875i | ||||
\(611\) | 29.9039 | + | 43.8609i | 1.20978 | + | 1.77442i | ||||
\(612\) | −2.87324 | − | 2.82455i | −0.116144 | − | 0.114176i | ||||
\(613\) | 4.18470 | + | 4.51003i | 0.169018 | + | 0.182158i | 0.811881 | − | 0.583823i | \(-0.198444\pi\) |
−0.642863 | + | 0.765982i | \(0.722253\pi\) | |||||||
\(614\) | 14.5877 | + | 2.41447i | 0.588712 | + | 0.0974402i | ||||
\(615\) | −4.90189 | − | 2.36063i | −0.197663 | − | 0.0951897i | ||||
\(616\) | −28.3589 | − | 7.39980i | −1.14261 | − | 0.298147i | ||||
\(617\) | 15.9282 | − | 7.67060i | 0.641244 | − | 0.308807i | −0.0848590 | − | 0.996393i | \(-0.527044\pi\) |
0.726103 | + | 0.687586i | \(0.241330\pi\) | |||||||
\(618\) | 44.6265 | − | 13.0634i | 1.79514 | − | 0.525487i | ||||
\(619\) | −27.4551 | + | 15.8512i | −1.10351 | + | 0.637113i | −0.937141 | − | 0.348950i | \(-0.886538\pi\) |
−0.166371 | + | 0.986063i | \(0.553205\pi\) | |||||||
\(620\) | −6.06411 | − | 3.73844i | −0.243541 | − | 0.150140i | ||||
\(621\) | −2.82960 | − | 18.7731i | −0.113548 | − | 0.753341i | ||||
\(622\) | 3.82180 | + | 2.28066i | 0.153240 | + | 0.0914460i | ||||
\(623\) | 18.5709 | − | 11.0322i | 0.744029 | − | 0.441995i | ||||
\(624\) | −4.90791 | + | 36.8211i | −0.196474 | + | 1.47402i | ||||
\(625\) | 0.429857 | − | 5.73605i | 0.0171943 | − | 0.229442i | ||||
\(626\) | −4.14759 | + | 8.30392i | −0.165771 | + | 0.331892i | ||||
\(627\) | 24.9665 | + | 9.79862i | 0.997065 | + | 0.391319i | ||||
\(628\) | −12.8625 | − | 3.32895i | −0.513268 | − | 0.132840i | ||||
\(629\) | 3.35345 | + | 2.67429i | 0.133711 | + | 0.106631i | ||||
\(630\) | −1.98075 | + | 2.89286i | −0.0789152 | + | 0.115254i | ||||
\(631\) | −18.3421 | − | 23.0003i | −0.730189 | − | 0.915628i | 0.268677 | − | 0.963230i | \(-0.413413\pi\) |
−0.998866 | + | 0.0476022i | \(0.984842\pi\) | |||||||
\(632\) | −12.1630 | + | 34.1147i | −0.483816 | + | 1.35701i | ||||
\(633\) | 3.23525 | + | 43.1714i | 0.128590 | + | 1.71591i | ||||
\(634\) | 12.9999 | + | 16.7927i | 0.516291 | + | 0.666924i | ||||
\(635\) | −13.0520 | + | 14.0667i | −0.517952 | + | 0.558220i | ||||
\(636\) | −0.0927761 | − | 2.01787i | −0.00367881 | − | 0.0800139i | ||||
\(637\) | 4.15546 | − | 33.1449i | 0.164645 | − | 1.31325i | ||||
\(638\) | −17.7040 | + | 18.5367i | −0.700909 | + | 0.733875i | ||||
\(639\) | 5.05598 | + | 4.69126i | 0.200011 | + | 0.185583i | ||||
\(640\) | 9.41591 | − | 9.62936i | 0.372197 | − | 0.380634i | ||||
\(641\) | −1.91825 | − | 25.5972i | −0.0757662 | − | 1.01103i | −0.897459 | − | 0.441099i | \(-0.854589\pi\) |
0.821692 | − | 0.569931i | \(-0.193030\pi\) | |||||||
\(642\) | −23.5901 | − | 9.65348i | −0.931029 | − | 0.380993i | ||||
\(643\) | 33.2819 | − | 26.5415i | 1.31251 | − | 1.04669i | 0.317363 | − | 0.948304i | \(-0.397203\pi\) |
0.995148 | − | 0.0983889i | \(-0.0313689\pi\) | |||||||
\(644\) | −0.382945 | + | 23.3252i | −0.0150902 | + | 0.919143i | ||||
\(645\) | 14.4535 | + | 11.5263i | 0.569105 | + | 0.453846i | ||||
\(646\) | 6.20849 | + | 11.1209i | 0.244270 | + | 0.437547i | ||||
\(647\) | −3.61345 | + | 9.20692i | −0.142059 | + | 0.361961i | −0.984141 | − | 0.177389i | \(-0.943235\pi\) |
0.842081 | + | 0.539350i | \(0.181330\pi\) | |||||||
\(648\) | 27.7755 | + | 12.3133i | 1.09112 | + | 0.483713i | ||||
\(649\) | −2.93299 | + | 39.1380i | −0.115130 | + | 1.53630i | ||||
\(650\) | 20.1730 | − | 13.3315i | 0.791251 | − | 0.522905i | ||||
\(651\) | −5.44970 | + | 14.4101i | −0.213591 | + | 0.564778i | ||||
\(652\) | −4.47109 | − | 16.1336i | −0.175102 | − | 0.631842i | ||||
\(653\) | −1.71934 | − | 11.4071i | −0.0672831 | − | 0.446394i | −0.996953 | − | 0.0780011i | \(-0.975146\pi\) |
0.929670 | − | 0.368393i | \(-0.120092\pi\) | |||||||
\(654\) | 16.6560 | − | 3.54962i | 0.651302 | − | 0.138801i | ||||
\(655\) | 5.63991 | + | 9.76861i | 0.220369 | + | 0.381691i | ||||
\(656\) | 3.93079 | − | 8.53238i | 0.153472 | − | 0.333133i | ||||
\(657\) | −1.51530 | + | 0.729729i | −0.0591174 | + | 0.0284694i | ||||
\(658\) | −41.1702 | + | 6.12170i | −1.60498 | + | 0.238649i | ||||
\(659\) | 11.7610 | − | 24.4219i | 0.458142 | − | 0.951342i | −0.536097 | − | 0.844156i | \(-0.680102\pi\) |
0.994239 | − | 0.107185i | \(-0.0341838\pi\) | |||||||
\(660\) | 14.5075 | − | 10.8998i | 0.564705 | − | 0.424272i | ||||
\(661\) | −11.0680 | − | 11.9284i | −0.430493 | − | 0.463962i | 0.480131 | − | 0.877197i | \(-0.340589\pi\) |
−0.910624 | + | 0.413235i | \(0.864399\pi\) | |||||||
\(662\) | −23.0816 | − | 0.333032i | −0.897090 | − | 0.0129437i | ||||
\(663\) | −19.6377 | + | 13.3888i | −0.762665 | + | 0.519976i | ||||
\(664\) | 15.4756 | − | 6.64384i | 0.600569 | − | 0.257831i | ||||
\(665\) | 8.57839 | − | 7.01736i | 0.332656 | − | 0.272122i | ||||
\(666\) | 1.77461 | + | 0.575562i | 0.0687648 | + | 0.0223026i | ||||
\(667\) | 17.6693 | + | 10.2014i | 0.684159 | + | 0.394999i | ||||
\(668\) | −21.0502 | + | 13.4790i | −0.814456 | + | 0.521516i | ||||
\(669\) | 11.7276 | − | 17.2012i | 0.453413 | − | 0.665035i | ||||
\(670\) | −10.7223 | + | 15.2493i | −0.414240 | + | 0.589134i | ||||
\(671\) | 3.26979 | + | 14.3259i | 0.126229 | + | 0.553045i | ||||
\(672\) | −24.3100 | − | 16.0420i | −0.937778 | − | 0.618832i | ||||
\(673\) | −5.01767 | + | 21.9839i | −0.193417 | + | 0.847415i | 0.781333 | + | 0.624115i | \(0.214540\pi\) |
−0.974750 | + | 0.223300i | \(0.928317\pi\) | |||||||
\(674\) | −29.2036 | − | 32.3992i | −1.12488 | − | 1.24797i | ||||
\(675\) | −4.54789 | − | 14.7439i | −0.175048 | − | 0.567493i | ||||
\(676\) | 18.5026 | + | 6.29739i | 0.711637 | + | 0.242207i | ||||
\(677\) | 2.79167 | − | 9.05038i | 0.107293 | − | 0.347834i | −0.885966 | − | 0.463749i | \(-0.846504\pi\) |
0.993259 | + | 0.115915i | \(0.0369800\pi\) | |||||||
\(678\) | −42.8069 | + | 5.82180i | −1.64399 | + | 0.223585i | ||||
\(679\) | 21.9191 | − | 24.2205i | 0.841177 | − | 0.929498i | ||||
\(680\) | 8.60909 | + | 0.372856i | 0.330143 | + | 0.0142984i | ||||
\(681\) | 8.84115 | + | 22.5269i | 0.338794 | + | 0.863232i | ||||
\(682\) | 10.5190 | − | 12.8070i | 0.402795 | − | 0.490404i | ||||
\(683\) | −4.09222 | + | 27.1501i | −0.156584 | + | 1.03887i | 0.763119 | + | 0.646257i | \(0.223667\pi\) |
−0.919704 | + | 0.392613i | \(0.871571\pi\) | |||||||
\(684\) | 4.22975 | + | 3.57754i | 0.161729 | + | 0.136791i | ||||
\(685\) | − | 18.1030i | − | 0.691681i | ||||||
\(686\) | 21.9725 | + | 14.2551i | 0.838915 | + | 0.544262i | ||||
\(687\) | 51.4601 | 1.96332 | ||||||||
\(688\) | −19.4727 | + | 25.2929i | −0.742389 | + | 0.964282i | ||||
\(689\) | −2.44903 | − | 0.369132i | −0.0933005 | − | 0.0140628i | ||||
\(690\) | −11.1612 | − | 9.16732i | −0.424902 | − | 0.348994i | ||||
\(691\) | −33.1855 | + | 13.0244i | −1.26244 | + | 0.495470i | −0.899735 | − | 0.436436i | \(-0.856241\pi\) |
−0.362701 | + | 0.931906i | \(0.618145\pi\) | |||||||
\(692\) | 5.56119 | + | 6.35162i | 0.211405 | + | 0.241453i | ||||
\(693\) | −6.04763 | − | 5.47298i | −0.229730 | − | 0.207901i | ||||
\(694\) | −21.3377 | + | 2.90196i | −0.809969 | + | 0.110157i | ||||
\(695\) | 6.79698 | + | 2.09659i | 0.257824 | + | 0.0795282i | ||||
\(696\) | −22.5909 | + | 11.7702i | −0.856307 | + | 0.446147i | ||||
\(697\) | 5.74370 | − | 1.77170i | 0.217558 | − | 0.0671078i | ||||
\(698\) | −1.84520 | + | 1.66320i | −0.0698417 | + | 0.0629531i | ||||
\(699\) | −38.1757 | − | 8.71335i | −1.44394 | − | 0.329569i | ||||
\(700\) | 2.51758 | + | 18.7912i | 0.0951557 | + | 0.710242i | ||||
\(701\) | 13.6543 | − | 3.11651i | 0.515717 | − | 0.117709i | 0.0432620 | − | 0.999064i | \(-0.486225\pi\) |
0.472455 | + | 0.881355i | \(0.343368\pi\) | |||||||
\(702\) | 16.7161 | − | 23.7737i | 0.630907 | − | 0.897279i | ||||
\(703\) | −4.87273 | − | 3.32217i | −0.183778 | − | 0.125298i | ||||
\(704\) | 19.2456 | + | 24.7245i | 0.725347 | + | 0.931839i | ||||
\(705\) | 12.8851 | − | 22.3176i | 0.485281 | − | 0.840531i | ||||
\(706\) | −9.25337 | + | 28.5306i | −0.348255 | + | 1.07376i | ||||
\(707\) | −23.8884 | − | 29.2024i | −0.898416 | − | 1.09827i | ||||
\(708\) | −15.2911 | + | 35.8810i | −0.574675 | + | 1.34849i | ||||
\(709\) | 7.35062 | + | 10.7814i | 0.276058 | + | 0.404903i | 0.939081 | − | 0.343696i | \(-0.111679\pi\) |
−0.663023 | + | 0.748599i | \(0.730727\pi\) | |||||||
\(710\) | −14.7497 | − | 0.212816i | −0.553545 | − | 0.00798682i | ||||
\(711\) | −7.38869 | + | 6.85571i | −0.277098 | + | 0.257109i | ||||
\(712\) | −22.9313 | − | 2.72043i | −0.859386 | − | 0.101953i | ||||
\(713\) | −11.8852 | − | 5.72361i | −0.445104 | − | 0.214351i | ||||
\(714\) | −2.74085 | − | 18.4330i | −0.102574 | − | 0.689837i | ||||
\(715\) | −9.65318 | − | 20.0450i | −0.361009 | − | 0.749642i | ||||
\(716\) | −19.8786 | + | 38.4030i | −0.742899 | + | 1.43519i | ||||
\(717\) | 25.0631 | − | 14.4702i | 0.935999 | − | 0.540399i | ||||
\(718\) | 13.3528 | − | 2.84566i | 0.498322 | − | 0.106199i | ||||
\(719\) | −4.92536 | + | 0.742378i | −0.183685 | + | 0.0276860i | −0.240240 | − | 0.970713i | \(-0.577226\pi\) |
0.0565556 | + | 0.998399i | \(0.481988\pi\) | |||||||
\(720\) | 3.56215 | − | 1.16581i | 0.132753 | − | 0.0434470i | ||||
\(721\) | 41.8115 | + | 15.8125i | 1.55714 | + | 0.588888i | ||||
\(722\) | 5.15938 | + | 7.80709i | 0.192012 | + | 0.290550i | ||||
\(723\) | −49.1922 | − | 3.68645i | −1.82948 | − | 0.137100i | ||||
\(724\) | 2.90782 | − | 1.04546i | 0.108068 | − | 0.0388544i | ||||
\(725\) | 15.4353 | + | 6.05789i | 0.573251 | + | 0.224984i | ||||
\(726\) | 5.82090 | + | 10.4267i | 0.216034 | + | 0.386969i | ||||
\(727\) | −2.00713 | + | 2.51686i | −0.0744402 | + | 0.0933451i | −0.817657 | − | 0.575705i | \(-0.804728\pi\) |
0.743217 | + | 0.669050i | \(0.233299\pi\) | |||||||
\(728\) | −25.0852 | + | 25.4163i | −0.929720 | + | 0.941991i | ||||
\(729\) | −10.4035 | − | 13.0455i | −0.385314 | − | 0.483168i | ||||
\(730\) | 1.36232 | − | 3.32908i | 0.0504215 | − | 0.123215i | ||||
\(731\) | −20.3666 | + | 1.52626i | −0.753284 | + | 0.0564508i | ||||
\(732\) | −1.51095 | + | 14.5245i | −0.0558462 | + | 0.536839i | ||||
\(733\) | 18.9353 | − | 20.4073i | 0.699390 | − | 0.753763i | −0.279054 | − | 0.960275i | \(-0.590021\pi\) |
0.978444 | + | 0.206513i | \(0.0662115\pi\) | |||||||
\(734\) | −37.2473 | + | 38.9992i | −1.37482 | + | 1.43949i | ||||
\(735\) | −15.3720 | + | 5.16378i | −0.567006 | + | 0.190469i | ||||
\(736\) | 15.4973 | − | 19.5395i | 0.571238 | − | 0.720235i | ||||
\(737\) | −31.7912 | − | 29.4980i | −1.17105 | − | 1.08657i | ||||
\(738\) | 2.06732 | − | 1.60039i | 0.0760992 | − | 0.0589112i | ||||
\(739\) | −16.5059 | + | 1.23695i | −0.607180 | + | 0.0455019i | −0.374773 | − | 0.927117i | \(-0.622279\pi\) |
−0.232407 | + | 0.972619i | \(0.574660\pi\) | |||||||
\(740\) | −3.64336 | + | 1.62678i | −0.133933 | + | 0.0598017i | ||||
\(741\) | 25.5497 | − | 20.3752i | 0.938593 | − | 0.748503i | ||||
\(742\) | 1.09711 | − | 1.60231i | 0.0402762 | − | 0.0588226i | ||||
\(743\) | 15.6751 | − | 19.6560i | 0.575064 | − | 0.721107i | −0.406198 | − | 0.913785i | \(-0.633146\pi\) |
0.981262 | + | 0.192678i | \(0.0617173\pi\) | |||||||
\(744\) | 13.9968 | − | 8.68035i | 0.513148 | − | 0.318237i | ||||
\(745\) | −8.09612 | + | 20.6286i | −0.296619 | + | 0.755773i | ||||
\(746\) | 25.3870 | + | 12.6801i | 0.929482 | + | 0.464252i | ||||
\(747\) | 4.67381 | + | 0.350254i | 0.171006 | + | 0.0128151i | ||||
\(748\) | −3.55855 | + | 19.7288i | −0.130113 | + | 0.721356i | ||||
\(749\) | −12.5148 | − | 21.0667i | −0.457281 | − | 0.769760i | ||||
\(750\) | −24.1465 | − | 14.4094i | −0.881705 | − | 0.526157i | ||||
\(751\) | −2.16209 | + | 0.325883i | −0.0788958 | + | 0.0118916i | −0.188372 | − | 0.982098i | \(-0.560321\pi\) |
0.109476 | + | 0.993989i | \(0.465083\pi\) | |||||||
\(752\) | 38.9098 | + | 21.5866i | 1.41890 | + | 0.787181i | ||||
\(753\) | 22.6901 | + | 39.3004i | 0.826874 | + | 1.43219i | ||||
\(754\) | 8.77434 | + | 29.9744i | 0.319543 | + | 1.09160i | ||||
\(755\) | 2.84400 | + | 5.90562i | 0.103504 | + | 0.214928i | ||||
\(756\) | 11.0681 | + | 19.9185i | 0.402541 | + | 0.724431i | ||||
\(757\) | −12.5969 | + | 26.1578i | −0.457843 | + | 0.950721i | 0.536439 | + | 0.843939i | \(0.319769\pi\) |
−0.994282 | + | 0.106782i | \(0.965945\pi\) | |||||||
\(758\) | −3.95995 | − | 0.655427i | −0.143832 | − | 0.0238062i | ||||
\(759\) | 24.6317 | − | 22.8549i | 0.894074 | − | 0.829579i | ||||
\(760\) | −11.8423 | + | 0.373361i | −0.429566 | + | 0.0135432i | ||||
\(761\) | 14.2774 | − | 9.73415i | 0.517555 | − | 0.352863i | −0.276201 | − | 0.961100i | \(-0.589075\pi\) |
0.793755 | + | 0.608237i | \(0.208123\pi\) | |||||||
\(762\) | −15.6106 | − | 41.5271i | −0.565513 | − | 1.50437i | ||||
\(763\) | 14.8376 | + | 6.91940i | 0.537158 | + | 0.250499i | ||||
\(764\) | −5.29673 | − | 9.81790i | −0.191629 | − | 0.355199i | ||||
\(765\) | 2.07684 | + | 1.19906i | 0.0750882 | + | 0.0433522i | ||||
\(766\) | −33.3087 | − | 8.10980i | −1.20349 | − | 0.293019i | ||||
\(767\) | 39.5118 | + | 26.9387i | 1.42669 | + | 0.972700i | ||||
\(768\) | 10.1892 | + | 29.4226i | 0.367670 | + | 1.06170i | ||||
\(769\) | −5.33196 | − | 23.3608i | −0.192275 | − | 0.842413i | −0.975381 | − | 0.220525i | \(-0.929223\pi\) |
0.783106 | − | 0.621888i | \(-0.213634\pi\) | |||||||
\(770\) | 17.4444 | + | 0.0346909i | 0.628652 | + | 0.00125017i | ||||
\(771\) | 31.0592 | + | 7.08906i | 1.11857 | + | 0.255306i | ||||
\(772\) | 21.5803 | + | 0.622873i | 0.776693 | + | 0.0224177i | ||||
\(773\) | −1.23922 | − | 4.01745i | −0.0445717 | − | 0.144498i | 0.930552 | − | 0.366160i | \(-0.119328\pi\) |
−0.975123 | + | 0.221663i | \(0.928852\pi\) | |||||||
\(774\) | −8.05840 | + | 3.73847i | −0.289653 | + | 0.134377i | ||||
\(775\) | −10.2446 | − | 3.16003i | −0.367996 | − | 0.113512i | ||||
\(776\) | −34.3504 | + | 6.29038i | −1.23311 | + | 0.225811i | ||||
\(777\) | 4.94918 | + | 7.06857i | 0.177551 | + | 0.253584i | ||||
\(778\) | −0.978730 | + | 10.9398i | −0.0350892 | + | 0.392212i | ||||
\(779\) | −7.69320 | + | 3.01936i | −0.275638 | + | 0.108180i | ||||
\(780\) | −2.66316 | − | 21.9488i | −0.0953564 | − | 0.785894i | ||||
\(781\) | 5.11476 | − | 33.9342i | 0.183020 | − | 1.21426i | ||||
\(782\) | 15.9277 | − | 0.962763i | 0.569574 | − | 0.0344283i | ||||
\(783\) | 19.9293 | 0.712217 | ||||||||
\(784\) | −9.36843 | − | 26.3862i | −0.334587 | − | 0.942365i | ||||
\(785\) | 7.90801 | 0.282249 | ||||||||
\(786\) | −26.0307 | + | 1.57345i | −0.928486 | + | 0.0561230i | ||||
\(787\) | 0.521234 | − | 3.45816i | 0.0185800 | − | 0.123270i | −0.977618 | − | 0.210387i | \(-0.932527\pi\) |
0.996198 | + | 0.0871174i | \(0.0277655\pi\) | |||||||
\(788\) | 0.510313 | + | 4.20582i | 0.0181791 | + | 0.149826i | ||||
\(789\) | 53.1596 | − | 20.8636i | 1.89253 | − | 0.742764i | ||||
\(790\) | 1.92093 | − | 21.4713i | 0.0683435 | − | 0.763915i | ||||
\(791\) | −36.2223 | − | 20.3165i | −1.28792 | − | 0.722371i | ||||
\(792\) | 1.57064 | + | 8.57696i | 0.0558104 | + | 0.304769i | ||||
\(793\) | 17.1088 | + | 5.27737i | 0.607552 | + | 0.187405i | ||||
\(794\) | 14.7880 | − | 6.86047i | 0.524805 | − | 0.243469i | ||||
\(795\) | 0.354388 | + | 1.14890i | 0.0125688 | + | 0.0407472i | ||||
\(796\) | −25.3508 | − | 0.731700i | −0.898535 | − | 0.0259344i | ||||
\(797\) | −36.0768 | − | 8.23430i | −1.27791 | − | 0.291674i | −0.470885 | − | 0.882195i | \(-0.656065\pi\) |
−0.807023 | + | 0.590521i | \(0.798922\pi\) | |||||||
\(798\) | 5.65200 | + | 24.9920i | 0.200079 | + | 0.884708i | ||||
\(799\) | 6.33524 | + | 27.7565i | 0.224125 | + | 0.981954i | ||||
\(800\) | 10.0873 | − | 17.5797i | 0.356640 | − | 0.621535i | ||||
\(801\) | −5.30978 | − | 3.62015i | −0.187612 | − | 0.127912i | ||||
\(802\) | −45.2030 | − | 11.0058i | −1.59617 | − | 0.388627i | ||||
\(803\) | 7.24709 | + | 4.18411i | 0.255744 | + | 0.147654i | ||||
\(804\) | −20.4634 | − | 37.9304i | −0.721687 | − | 1.33770i | ||||
\(805\) | −3.25787 | − | 13.4975i | −0.114825 | − | 0.475724i | ||||
\(806\) | −7.10554 | − | 18.9021i | −0.250282 | − | 0.665796i | ||||
\(807\) | 14.3681 | − | 9.79602i | 0.505782 | − | 0.344836i | ||||
\(808\) | 1.27099 | + | 40.3134i | 0.0447133 | + | 1.41822i | ||||
\(809\) | −20.4036 | + | 18.9317i | −0.717351 | + | 0.665605i | −0.951868 | − | 0.306507i | \(-0.900840\pi\) |
0.234517 | + | 0.972112i | \(0.424649\pi\) | |||||||
\(810\) | −17.8410 | − | 2.95294i | −0.626869 | − | 0.103756i | ||||
\(811\) | −10.3318 | + | 21.4541i | −0.362798 | + | 0.753357i | −0.999847 | − | 0.0174657i | \(-0.994440\pi\) |
0.637050 | + | 0.770823i | \(0.280154\pi\) | |||||||
\(812\) | −24.1518 | − | 4.04683i | −0.847563 | − | 0.142016i | ||||
\(813\) | −8.95858 | − | 18.6027i | −0.314191 | − | 0.652425i | ||||
\(814\) | −2.60782 | − | 8.90870i | −0.0914042 | − | 0.312250i | ||||
\(815\) | 4.98235 | + | 8.62968i | 0.174524 | + | 0.302285i | ||||
\(816\) | −9.66488 | + | 17.4210i | −0.338338 | + | 0.609856i | ||||
\(817\) | 27.7679 | − | 4.18534i | 0.971477 | − | 0.146427i | ||||
\(818\) | 0.288017 | + | 0.171874i | 0.0100703 | + | 0.00600943i | ||||
\(819\) | −9.45948 | + | 3.04723i | −0.330541 | + | 0.106479i | ||||
\(820\) | −0.992541 | + | 5.50270i | −0.0346610 | + | 0.192163i | ||||
\(821\) | −23.4634 | − | 1.75834i | −0.818879 | − | 0.0613665i | −0.341299 | − | 0.939955i | \(-0.610867\pi\) |
−0.477580 | + | 0.878588i | \(0.658486\pi\) | |||||||
\(822\) | 37.4424 | + | 18.7015i | 1.30595 | + | 0.652290i | ||||
\(823\) | −12.1044 | + | 30.8414i | −0.421931 | + | 1.07506i | 0.549025 | + | 0.835806i | \(0.314999\pi\) |
−0.970956 | + | 0.239257i | \(0.923096\pi\) | |||||||
\(824\) | −25.1863 | − | 40.6122i | −0.877407 | − | 1.41479i | ||||
\(825\) | 17.0264 | − | 21.3504i | 0.592783 | − | 0.743326i | ||||
\(826\) | −32.5094 | + | 18.6832i | −1.13115 | + | 0.650072i | ||||
\(827\) | −15.4728 | + | 12.3391i | −0.538041 | + | 0.429074i | −0.854438 | − | 0.519553i | \(-0.826098\pi\) |
0.316397 | + | 0.948627i | \(0.397527\pi\) | |||||||
\(828\) | 6.33742 | − | 2.82969i | 0.220241 | − | 0.0983386i | ||||
\(829\) | −23.4352 | + | 1.75623i | −0.813939 | + | 0.0609963i | −0.475193 | − | 0.879882i | \(-0.657622\pi\) |
−0.338746 | + | 0.940878i | \(0.610003\pi\) | |||||||
\(830\) | −7.92648 | + | 6.13618i | −0.275132 | + | 0.212990i | ||||
\(831\) | −7.03590 | − | 6.52836i | −0.244073 | − | 0.226466i | ||||
\(832\) | 37.8143 | − | 5.24537i | 1.31098 | − | 0.181851i | ||||
\(833\) | 8.56891 | − | 15.7331i | 0.296895 | − | 0.545119i | ||||
\(834\) | −11.3581 | + | 11.8923i | −0.393297 | + | 0.411795i | ||||
\(835\) | 10.1193 | − | 10.9060i | 0.350194 | − | 0.377419i | ||||
\(836\) | 2.85202 | − | 27.4160i | 0.0986391 | − | 0.948201i | ||||
\(837\) | −12.8494 | + | 0.962933i | −0.444142 | + | 0.0332838i | ||||
\(838\) | 8.91959 | − | 21.7967i | 0.308122 | − | 0.752955i | ||||
\(839\) | 13.6596 | + | 17.1285i | 0.471580 | + | 0.591343i | 0.959557 | − | 0.281514i | \(-0.0908365\pi\) |
−0.487977 | + | 0.872856i | \(0.662265\pi\) | |||||||
\(840\) | 16.4002 | + | 5.61826i | 0.565860 | + | 0.193848i | ||||
\(841\) | 4.72765 | − | 5.92829i | 0.163023 | − | 0.204424i | ||||
\(842\) | −21.5239 | − | 38.5546i | −0.741762 | − | 1.32868i | ||||
\(843\) | −40.8279 | − | 16.0238i | −1.40619 | − | 0.551888i | ||||
\(844\) | 41.8686 | − | 15.0532i | 1.44118 | − | 0.518153i | ||||
\(845\) | −11.6006 | − | 0.869346i | −0.399074 | − | 0.0299064i | ||||
\(846\) | 6.82741 | + | 10.3311i | 0.234731 | + | 0.355191i | ||||
\(847\) | −1.56965 | + | 11.3720i | −0.0539338 | + | 0.390747i | ||||
\(848\) | −1.97302 | + | 0.645722i | −0.0677538 | + | 0.0221742i | ||||
\(849\) | −23.7500 | + | 3.57974i | −0.815098 | + | 0.122856i | ||||
\(850\) | 12.6834 | − | 2.70299i | 0.435035 | − | 0.0927117i | ||||
\(851\) | −6.39868 | + | 3.69428i | −0.219344 | + | 0.126638i | ||||
\(852\) | 15.6774 | − | 30.2868i | 0.537100 | − | 1.03761i | ||||
\(853\) | 15.0682 | + | 31.2893i | 0.515924 | + | 1.07133i | 0.982399 | + | 0.186793i | \(0.0598092\pi\) |
−0.466476 | + | 0.884534i | \(0.654477\pi\) | |||||||
\(854\) | −9.56894 | + | 10.2718i | −0.327442 | + | 0.351494i | ||||
\(855\) | −2.97078 | − | 1.43065i | −0.101598 | − | 0.0489272i | ||||
\(856\) | −3.08603 | + | 26.0130i | −0.105478 | + | 0.889106i | ||||
\(857\) | −12.8142 | + | 11.8898i | −0.437723 | + | 0.406148i | −0.868012 | − | 0.496544i | \(-0.834602\pi\) |
0.430289 | + | 0.902691i | \(0.358412\pi\) | |||||||
\(858\) | 51.4314 | + | 0.742078i | 1.75584 | + | 0.0253341i | ||||
\(859\) | 21.0564 | + | 30.8840i | 0.718433 | + | 1.05375i | 0.995671 | + | 0.0929470i | \(0.0296287\pi\) |
−0.277238 | + | 0.960801i | \(0.589419\pi\) | |||||||
\(860\) | 7.44852 | − | 17.4782i | 0.253992 | − | 0.596000i | ||||
\(861\) | 12.0914 | − | 0.150410i | 0.412072 | − | 0.00512597i | ||||
\(862\) | 7.26992 | − | 22.4151i | 0.247614 | − | 0.763462i | ||||
\(863\) | 13.9221 | − | 24.1139i | 0.473915 | − | 0.820846i | −0.525639 | − | 0.850708i | \(-0.676174\pi\) |
0.999554 | + | 0.0298624i | \(0.00950690\pi\) | |||||||
\(864\) | 3.56659 | − | 24.0979i | 0.121338 | − | 0.819827i | ||||
\(865\) | −4.15167 | − | 2.83056i | −0.141161 | − | 0.0962420i | ||||
\(866\) | 19.4988 | − | 27.7313i | 0.662597 | − | 0.942348i | ||||
\(867\) | 19.8262 | − | 4.52520i | 0.673333 | − | 0.153684i | ||||
\(868\) | 15.7674 | + | 1.44224i | 0.535182 | + | 0.0489530i | ||||
\(869\) | 48.8934 | + | 11.1596i | 1.65860 | + | 0.378564i | ||||
\(870\) | 11.2620 | − | 10.1512i | 0.381816 | − | 0.344157i | ||||
\(871\) | −50.4944 | + | 15.5755i | −1.71094 | + | 0.527754i | ||||
\(872\) | −8.08702 | − | 15.5217i | −0.273861 | − | 0.525632i | ||||
\(873\) | −9.28680 | − | 2.86460i | −0.314311 | − | 0.0969520i | ||||
\(874\) | −21.7397 | + | 2.95663i | −0.735356 | + | 0.100010i | ||||
\(875\) | −10.1882 | − | 25.0387i | −0.344423 | − | 0.846461i | ||||
\(876\) | 5.47817 | + | 6.25681i | 0.185090 | + | 0.211398i | ||||
\(877\) | 9.88777 | − | 3.88067i | 0.333886 | − | 0.131041i | −0.192475 | − | 0.981302i | \(-0.561651\pi\) |
0.526361 | + | 0.850261i | \(0.323556\pi\) | |||||||
\(878\) | 32.2656 | + | 26.5014i | 1.08891 | + | 0.894379i | ||||
\(879\) | 40.1229 | + | 6.04756i | 1.35331 | + | 0.203979i | ||||
\(880\) | −14.7768 | − | 11.3765i | −0.498127 | − | 0.383502i | ||||
\(881\) | 13.4304 | 0.452481 | 0.226241 | − | 0.974071i | \(-0.427356\pi\) | ||||
0.226241 | + | 0.974071i | \(0.427356\pi\) | |||||||
\(882\) | 1.08080 | − | 7.71699i | 0.0363924 | − | 0.259844i | ||||
\(883\) | − | 25.4737i | − | 0.857260i | −0.903480 | − | 0.428630i | \(-0.858996\pi\) | ||
0.903480 | − | 0.428630i | \(-0.141004\pi\) | |||||||
\(884\) | 18.6500 | + | 15.7742i | 0.627267 | + | 0.530545i | ||||
\(885\) | 3.46000 | − | 22.9556i | 0.116307 | − | 0.771645i | ||||
\(886\) | −33.5405 | + | 40.8357i | −1.12682 | + | 1.37190i | ||||
\(887\) | 8.00016 | + | 20.3841i | 0.268619 | + | 0.684430i | 0.999997 | + | 0.00245774i | \(0.000782325\pi\) |
−0.731378 | + | 0.681972i | \(0.761122\pi\) | |||||||
\(888\) | 0.399146 | − | 9.21611i | 0.0133945 | − | 0.309273i | ||||
\(889\) | 12.0632 | − | 40.9077i | 0.404587 | − | 1.37200i | ||||
\(890\) | 13.6191 | − | 1.85222i | 0.456513 | − | 0.0620864i | ||||
\(891\) | 12.4005 | − | 40.2013i | 0.415431 | − | 1.34679i | ||||
\(892\) | −20.2547 | − | 6.89373i | −0.678177 | − | 0.230819i | ||||
\(893\) | −11.5383 | − | 37.4062i | −0.386114 | − | 1.25175i | ||||
\(894\) | −34.3022 | − | 38.0557i | −1.14724 | − | 1.27277i | ||||
\(895\) | 5.72730 | − | 25.0930i | 0.191443 | − | 0.838765i | ||||
\(896\) | −9.21554 | + | 28.4794i | −0.307870 | + | 0.951429i | ||||
\(897\) | −9.11039 | − | 39.9152i | −0.304187 | − | 1.33273i | ||||
\(898\) | 21.8456 | − | 31.0689i | 0.728998 | − | 1.03678i | ||||
\(899\) | 7.80064 | − | 11.4414i | 0.260166 | − | 0.381593i | ||||
\(900\) | 4.75018 | − | 3.04166i | 0.158339 | − | 0.101389i | ||||
\(901\) | −1.15033 | − | 0.664143i | −0.0383230 | − | 0.0221258i | ||||
\(902\) | −12.3737 | − | 4.01316i | −0.411998 | − | 0.133624i | ||||
\(903\) | −40.1684 | − | 8.64395i | −1.33672 | − | 0.287653i | ||||
\(904\) | 17.5149 | + | 40.7977i | 0.582536 | + | 1.35691i | ||||
\(905\) | −1.51962 | + | 1.03606i | −0.0505140 | + | 0.0344399i | ||||
\(906\) | −15.1526 | − | 0.218629i | −0.503411 | − | 0.00726347i | ||||
\(907\) | −33.0403 | − | 35.6089i | −1.09708 | − | 1.18238i | −0.981973 | − | 0.189023i | \(-0.939468\pi\) |
−0.115111 | − | 0.993353i | \(-0.536722\pi\) | |||||||
\(908\) | 19.8838 | − | 14.9391i | 0.659868 | − | 0.495770i | ||||
\(909\) | −4.87020 | + | 10.1131i | −0.161534 | + | 0.335429i | ||||
\(910\) | 10.6641 | − | 18.3863i | 0.353513 | − | 0.609500i | ||||
\(911\) | 18.7858 | − | 9.04678i | 0.622402 | − | 0.299733i | −0.0959783 | − | 0.995383i | \(-0.530598\pi\) |
0.718381 | + | 0.695650i | \(0.244884\pi\) | |||||||
\(912\) | 11.4616 | − | 24.8791i | 0.379531 | − | 0.823829i | ||||
\(913\) | −11.6601 | − | 20.1959i | −0.385893 | − | 0.668386i | ||||
\(914\) | 25.1351 | − | 5.35663i | 0.831397 | − | 0.177182i | ||||
\(915\) | −1.29542 | − | 8.59456i | −0.0428253 | − | 0.284127i | ||||
\(916\) | −14.1240 | − | 50.9656i | −0.466671 | − | 1.68395i | ||||
\(917\) | −20.8880 | − | 13.8638i | −0.689782 | − | 0.457822i | ||||
\(918\) | 13.0035 | − | 8.59349i | 0.429180 | − | 0.283627i | ||||
\(919\) | −2.42719 | + | 32.3886i | −0.0800656 | + | 1.06840i | 0.802015 | + | 0.597304i | \(0.203761\pi\) |
−0.882081 | + | 0.471098i | \(0.843858\pi\) | |||||||
\(920\) | −6.01585 | + | 13.5701i | −0.198337 | + | 0.447394i | ||||
\(921\) | 7.43353 | − | 18.9403i | 0.244943 | − | 0.624105i | ||||
\(922\) | −14.3959 | − | 25.7866i | −0.474105 | − | 0.849238i | ||||
\(923\) | −32.6915 | − | 26.0706i | −1.07606 | − | 0.858125i | ||||
\(924\) | −18.0928 | + | 36.0443i | −0.595211 | + | 1.18577i | ||||
\(925\) | −4.69468 | + | 3.74389i | −0.154360 | + | 0.123098i | ||||
\(926\) | 27.2798 | + | 11.1634i | 0.896470 | + | 0.366851i | ||||
\(927\) | −0.993855 | − | 13.2621i | −0.0326425 | − | 0.435584i | ||||
\(928\) | 17.8575 | + | 19.1433i | 0.586201 | + | 0.628411i | ||||
\(929\) | 24.9559 | + | 23.1557i | 0.818776 | + | 0.759714i | 0.973608 | − | 0.228227i | \(-0.0732930\pi\) |
−0.154831 | + | 0.987941i | \(0.549483\pi\) | |||||||
\(930\) | −6.77067 | + | 7.08912i | −0.222019 | + | 0.232461i | ||||
\(931\) | −10.1323 | + | 22.4522i | −0.332074 | + | 0.735842i | ||||
\(932\) | 1.84830 | + | 40.2004i | 0.0605430 | + | 1.31681i | ||||
\(933\) | 4.16558 | − | 4.48942i | 0.136375 | − | 0.146977i | ||||
\(934\) | 22.5384 | + | 29.1142i | 0.737480 | + | 0.952647i | ||||
\(935\) | −0.891687 | − | 11.8987i | −0.0291613 | − | 0.389130i | ||||
\(936\) | 10.0073 | + | 3.56793i | 0.327100 | + | 0.116622i | ||||
\(937\) | −21.9377 | − | 27.5090i | −0.716674 | − | 0.898680i | 0.281471 | − | 0.959570i | \(-0.409178\pi\) |
−0.998145 | + | 0.0608895i | \(0.980606\pi\) | |||||||
\(938\) | 6.25662 | − | 40.9571i | 0.204286 | − | 1.33730i | ||||
\(939\) | 9.98621 | + | 7.96374i | 0.325888 | + | 0.259887i | ||||
\(940\) | −25.6397 | − | 6.63585i | −0.836275 | − | 0.216438i | ||||
\(941\) | 39.3425 | + | 15.4408i | 1.28253 | + | 0.503355i | 0.906089 | − | 0.423086i | \(-0.139053\pi\) |
0.376439 | + | 0.926441i | \(0.377148\pi\) | |||||||
\(942\) | −8.16945 | + | 16.3561i | −0.266175 | + | 0.532911i | ||||
\(943\) | −0.773758 | + | 10.3251i | −0.0251970 | + | 0.336231i | ||||
\(944\) | 39.7331 | + | 5.29606i | 1.29320 | + | 0.172372i | ||||
\(945\) | −9.34808 | − | 9.82680i | −0.304093 | − | 0.319666i | ||||
\(946\) | 37.9555 | + | 22.6499i | 1.23404 | + | 0.736413i | ||||
\(947\) | 4.84081 | + | 32.1167i | 0.157305 | + | 1.04365i | 0.918583 | + | 0.395227i | \(0.129334\pi\) |
−0.761278 | + | 0.648425i | \(0.775428\pi\) | |||||||
\(948\) | 42.4246 | + | 26.1542i | 1.37789 | + | 0.849448i | ||||
\(949\) | 8.83020 | − | 5.09812i | 0.286640 | − | 0.165492i | ||||
\(950\) | −17.1125 | + | 5.00931i | −0.555204 | + | 0.162524i | ||||
\(951\) | 26.3290 | − | 12.6794i | 0.853777 | − | 0.411157i | ||||
\(952\) | −17.5036 | + | 7.77373i | −0.567295 | + | 0.251948i | ||||
\(953\) | −20.2802 | − | 9.76642i | −0.656940 | − | 0.316365i | 0.0755516 | − | 0.997142i | \(-0.475928\pi\) |
−0.732491 | + | 0.680776i | \(0.761643\pi\) | |||||||
\(954\) | −0.569988 | − | 0.0943412i | −0.0184541 | − | 0.00305441i | ||||
\(955\) | 4.51622 | + | 4.86733i | 0.146141 | + | 0.157503i | ||||
\(956\) | −21.2101 | − | 20.8507i | −0.685984 | − | 0.674360i | ||||
\(957\) | 19.8698 | + | 29.1436i | 0.642298 | + | 0.942078i | ||||
\(958\) | −39.4543 | + | 14.8314i | −1.27471 | + | 0.479181i | ||||
\(959\) | 17.9069 | + | 36.0307i | 0.578245 | + | 1.16349i | ||||
\(960\) | −10.2590 | − | 15.4343i | −0.331108 | − | 0.498138i | ||||
\(961\) | 11.0234 | − | 19.0930i | 0.355592 | − | 0.615904i | ||||
\(962\) | −10.9893 | − | 2.67560i | −0.354308 | − | 0.0862647i | ||||
\(963\) | −4.10666 | + | 6.02336i | −0.132335 | + | 0.194100i | ||||
\(964\) | 9.85056 | + | 49.7313i | 0.317265 | + | 1.60174i | ||||
\(965\) | −12.5278 | + | 2.85939i | −0.403285 | + | 0.0920472i | ||||
\(966\) | 31.2824 | + | 7.20548i | 1.00649 | + | 0.231833i | ||||
\(967\) | 1.12356 | − | 4.92262i | 0.0361311 | − | 0.158301i | −0.953644 | − | 0.300937i | \(-0.902701\pi\) |
0.989775 | + | 0.142636i | \(0.0455578\pi\) | |||||||
\(968\) | 8.72882 | − | 8.62673i | 0.280555 | − | 0.277274i | ||||
\(969\) | 16.7478 | − | 5.16600i | 0.538016 | − | 0.165956i | ||||
\(970\) | 18.8552 | − | 8.74735i | 0.605403 | − | 0.280860i | ||||
\(971\) | −11.3870 | + | 36.9158i | −0.365427 | + | 1.18468i | 0.567120 | + | 0.823635i | \(0.308058\pi\) |
−0.932547 | + | 0.361050i | \(0.882419\pi\) | |||||||
\(972\) | 9.37338 | − | 12.9303i | 0.300651 | − | 0.414739i | ||||
\(973\) | −15.6020 | + | 2.55048i | −0.500177 | + | 0.0817648i | ||||
\(974\) | −51.4442 | − | 4.60245i | −1.64838 | − | 0.147472i | ||||
\(975\) | −12.1562 | − | 30.9735i | −0.389310 | − | 0.991946i | ||||
\(976\) | 14.7996 | − | 2.49004i | 0.473723 | − | 0.0797043i | ||||
\(977\) | −60.3747 | − | 9.10002i | −1.93156 | − | 0.291135i | −0.933784 | − | 0.357838i | \(-0.883514\pi\) |
−0.997773 | + | 0.0667022i | \(0.978752\pi\) | |||||||
\(978\) | −22.9958 | + | 1.39000i | −0.735325 | + | 0.0444473i | ||||
\(979\) | 31.9754i | 1.02194i | ||||||||
\(980\) | 9.33326 | + | 13.8070i | 0.298140 | + | 0.441050i | ||||
\(981\) | − | 4.87078i | − | 0.155512i | ||||||
\(982\) | 0.615369 | + | 10.1805i | 0.0196372 | + | 0.324873i | ||||
\(983\) | 29.5925 | + | 4.46035i | 0.943854 | + | 0.142263i | 0.602900 | − | 0.797817i | \(-0.294012\pi\) |
0.340954 | + | 0.940080i | \(0.389250\pi\) | |||||||
\(984\) | −10.3559 | − | 7.73748i | −0.330133 | − | 0.246662i | ||||
\(985\) | −0.921271 | − | 2.34736i | −0.0293541 | − | 0.0747931i | ||||
\(986\) | −1.49260 | + | 16.6837i | −0.0475342 | + | 0.531317i | ||||
\(987\) | −3.56947 | + | 57.1646i | −0.113617 | + | 1.81957i | ||||
\(988\) | −27.1920 | − | 19.7119i | −0.865092 | − | 0.627120i | ||||
\(989\) | 10.3699 | − | 33.6185i | 0.329745 | − | 1.06901i | ||||
\(990\) | −2.18413 | − | 4.70795i | −0.0694161 | − | 0.149629i | ||||
\(991\) | 1.27384 | − | 0.392927i | 0.0404648 | − | 0.0124817i | −0.274457 | − | 0.961599i | \(-0.588498\pi\) |
0.314922 | + | 0.949118i | \(0.398022\pi\) | |||||||
\(992\) | −12.4386 | − | 11.4798i | −0.394925 | − | 0.364485i | ||||
\(993\) | −7.06841 | + | 30.9687i | −0.224309 | + | 0.982763i | ||||
\(994\) | 29.5669 | − | 14.1663i | 0.937806 | − | 0.449328i | ||||
\(995\) | 14.7167 | − | 3.35898i | 0.466549 | − | 0.106487i | ||||
\(996\) | −4.50292 | − | 22.7334i | −0.142681 | − | 0.720334i | ||||
\(997\) | −32.1492 | + | 47.1542i | −1.01817 | + | 1.49339i | −0.155366 | + | 0.987857i | \(0.549656\pi\) |
−0.862808 | + | 0.505531i | \(0.831297\pi\) | |||||||
\(998\) | 3.83799 | − | 15.7635i | 0.121489 | − | 0.498984i | ||||
\(999\) | −3.60856 | + | 6.25020i | −0.114170 | + | 0.197748i |
(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 | 392.2.z.a.205.3 | yes | 648 | |
8.5 | even | 2 | inner | 392.2.z.a.205.28 | yes | 648 | |
49.11 | even | 21 | inner | 392.2.z.a.109.28 | yes | 648 | |
392.109 | even | 42 | inner | 392.2.z.a.109.3 | ✓ | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
392.2.z.a.109.3 | ✓ | 648 | 392.109 | even | 42 | inner | |
392.2.z.a.109.28 | yes | 648 | 49.11 | even | 21 | inner | |
392.2.z.a.205.3 | yes | 648 | 1.1 | even | 1 | trivial | |
392.2.z.a.205.28 | yes | 648 | 8.5 | even | 2 | inner |