Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [185,2,Mod(8,185)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(185, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("185.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 185 = 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 185.u (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: | \(1.47723243739\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 8.12 | ||
Character | \(\chi\) | \(=\) | 185.8 |
Dual form | 185.2.u.a.162.12 |
$q$-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 \(\left(\mathbb{Z}/185\mathbb{Z}\right)^\times\).
\(n\) | \(76\) | \(112\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.877658 | − | 0.506716i | 0.620598 | − | 0.358302i | −0.156504 | − | 0.987677i | \(-0.550022\pi\) |
0.777102 | + | 0.629375i | \(0.216689\pi\) | |||||||
\(3\) | 0.458707 | + | 1.71192i | 0.264834 | + | 0.988375i | 0.962352 | + | 0.271807i | \(0.0876214\pi\) |
−0.697517 | + | 0.716568i | \(0.745712\pi\) | |||||||
\(4\) | −0.486478 | + | 0.842604i | −0.243239 | + | 0.421302i | ||||
\(5\) | −0.241001 | − | 2.22304i | −0.107779 | − | 0.994175i | ||||
\(6\) | 1.27004 | + | 1.27004i | 0.518493 | + | 0.518493i | ||||
\(7\) | 1.12037 | + | 4.18129i | 0.423461 | + | 1.58038i | 0.767260 | + | 0.641336i | \(0.221620\pi\) |
−0.343799 | + | 0.939043i | \(0.611714\pi\) | |||||||
\(8\) | 3.01289i | 1.06522i | ||||||||
\(9\) | −0.122169 | + | 0.0705344i | −0.0407231 | + | 0.0235115i | ||||
\(10\) | −1.33797 | − | 1.82895i | −0.423103 | − | 0.578365i | ||||
\(11\) | − | 3.92803i | − | 1.18435i | −0.805811 | − | 0.592173i | \(-0.798270\pi\) | ||
0.805811 | − | 0.592173i | \(-0.201730\pi\) | |||||||
\(12\) | −1.66562 | − | 0.446301i | −0.480822 | − | 0.128836i | ||||
\(13\) | 0.232152 | + | 0.134033i | 0.0643873 | + | 0.0371740i | 0.531848 | − | 0.846840i | \(-0.321498\pi\) |
−0.467461 | + | 0.884014i | \(0.654831\pi\) | |||||||
\(14\) | 3.10203 | + | 3.10203i | 0.829053 | + | 0.829053i | ||||
\(15\) | 3.69511 | − | 1.43230i | 0.954074 | − | 0.369818i | ||||
\(16\) | 0.553724 | + | 0.959078i | 0.138431 | + | 0.239769i | ||||
\(17\) | −1.05102 | − | 1.82042i | −0.254909 | − | 0.441516i | 0.709962 | − | 0.704240i | \(-0.248712\pi\) |
−0.964871 | + | 0.262725i | \(0.915379\pi\) | |||||||
\(18\) | −0.0714818 | + | 0.123810i | −0.0168484 | + | 0.0291823i | ||||
\(19\) | 0.421624 | + | 1.57352i | 0.0967272 | + | 0.360991i | 0.997276 | − | 0.0737647i | \(-0.0235014\pi\) |
−0.900548 | + | 0.434756i | \(0.856835\pi\) | |||||||
\(20\) | 1.99039 | + | 0.878392i | 0.445064 | + | 0.196414i | ||||
\(21\) | −6.64410 | + | 3.83597i | −1.44986 | + | 0.837078i | ||||
\(22\) | −1.99040 | − | 3.44747i | −0.424354 | − | 0.735002i | ||||
\(23\) | − | 7.38768i | − | 1.54044i | −0.637779 | − | 0.770219i | \(-0.720147\pi\) | ||
0.637779 | − | 0.770219i | \(-0.279853\pi\) | |||||||
\(24\) | −5.15781 | + | 1.38203i | −1.05283 | + | 0.282106i | ||||
\(25\) | −4.88384 | + | 1.07151i | −0.976767 | + | 0.214302i | ||||
\(26\) | 0.271666 | 0.0532782 | ||||||||
\(27\) | 3.58284 | + | 3.58284i | 0.689518 | + | 0.689518i | ||||
\(28\) | −4.06821 | − | 1.09007i | −0.768819 | − | 0.206004i | ||||
\(29\) | −2.61138 | − | 2.61138i | −0.484922 | − | 0.484922i | 0.421778 | − | 0.906699i | \(-0.361406\pi\) |
−0.906699 | + | 0.421778i | \(0.861406\pi\) | |||||||
\(30\) | 2.51728 | − | 3.12944i | 0.459590 | − | 0.571355i | ||||
\(31\) | 2.71514 | − | 2.71514i | 0.487654 | − | 0.487654i | −0.419911 | − | 0.907565i | \(-0.637939\pi\) |
0.907565 | + | 0.419911i | \(0.137939\pi\) | |||||||
\(32\) | −4.24652 | − | 2.45173i | −0.750685 | − | 0.433408i | ||||
\(33\) | 6.72446 | − | 1.80181i | 1.17058 | − | 0.313655i | ||||
\(34\) | −1.84487 | − | 1.06513i | −0.316392 | − | 0.182669i | ||||
\(35\) | 9.02518 | − | 3.49833i | 1.52553 | − | 0.591326i | ||||
\(36\) | − | 0.137254i | − | 0.0228756i | ||||||
\(37\) | 5.47527 | − | 2.64979i | 0.900130 | − | 0.435622i | ||||
\(38\) | 1.16737 | + | 1.16737i | 0.189373 | + | 0.189373i | ||||
\(39\) | −0.122963 | + | 0.458906i | −0.0196899 | + | 0.0734838i | ||||
\(40\) | 6.69778 | − | 0.726109i | 1.05901 | − | 0.114808i | ||||
\(41\) | −8.49479 | − | 4.90447i | −1.32666 | − | 0.765949i | −0.341881 | − | 0.939743i | \(-0.611064\pi\) |
−0.984782 | + | 0.173794i | \(0.944397\pi\) | |||||||
\(42\) | −3.88750 | + | 6.73334i | −0.599854 | + | 1.03898i | ||||
\(43\) | 2.23486i | 0.340813i | 0.985374 | + | 0.170406i | \(0.0545081\pi\) | ||||
−0.985374 | + | 0.170406i | \(0.945492\pi\) | |||||||
\(44\) | 3.30977 | + | 1.91090i | 0.498967 | + | 0.288079i | ||||
\(45\) | 0.186244 | + | 0.254588i | 0.0277636 | + | 0.0379518i | ||||
\(46\) | −3.74346 | − | 6.48386i | −0.551943 | − | 0.955993i | ||||
\(47\) | 0.433702 | − | 0.433702i | 0.0632620 | − | 0.0632620i | −0.674768 | − | 0.738030i | \(-0.735756\pi\) |
0.738030 | + | 0.674768i | \(0.235756\pi\) | |||||||
\(48\) | −1.38786 | + | 1.38786i | −0.200321 | + | 0.200321i | ||||
\(49\) | −10.1658 | + | 5.86921i | −1.45225 | + | 0.838459i | ||||
\(50\) | −3.74339 | + | 3.41514i | −0.529395 | + | 0.482974i | ||||
\(51\) | 2.63429 | − | 2.63429i | 0.368874 | − | 0.368874i | ||||
\(52\) | −0.225873 | + | 0.130408i | −0.0313230 | + | 0.0180843i | ||||
\(53\) | −3.30991 | + | 12.3527i | −0.454651 | + | 1.69678i | 0.234462 | + | 0.972125i | \(0.424667\pi\) |
−0.689113 | + | 0.724654i | \(0.742000\pi\) | |||||||
\(54\) | 4.95999 | + | 1.32903i | 0.674969 | + | 0.180857i | ||||
\(55\) | −8.73218 | + | 0.946659i | −1.17745 | + | 0.127648i | ||||
\(56\) | −12.5978 | + | 3.37556i | −1.68345 | + | 0.451078i | ||||
\(57\) | −2.50034 | + | 1.44357i | −0.331178 | + | 0.191206i | ||||
\(58\) | −3.61513 | − | 0.968672i | −0.474690 | − | 0.127193i | ||||
\(59\) | 6.25821 | + | 1.67688i | 0.814749 | + | 0.218311i | 0.642049 | − | 0.766663i | \(-0.278084\pi\) |
0.172699 | + | 0.984975i | \(0.444751\pi\) | |||||||
\(60\) | −0.590730 | + | 3.81030i | −0.0762630 | + | 0.491907i | ||||
\(61\) | −0.0618854 | − | 0.230959i | −0.00792361 | − | 0.0295713i | 0.961851 | − | 0.273574i | \(-0.0882060\pi\) |
−0.969774 | + | 0.244003i | \(0.921539\pi\) | |||||||
\(62\) | 1.00716 | − | 3.75877i | 0.127909 | − | 0.477364i | ||||
\(63\) | −0.431800 | − | 0.431800i | −0.0544017 | − | 0.0544017i | ||||
\(64\) | −7.18421 | −0.898027 | ||||||||
\(65\) | 0.242012 | − | 0.548385i | 0.0300179 | − | 0.0680188i | ||||
\(66\) | 4.98877 | − | 4.98877i | 0.614075 | − | 0.614075i | ||||
\(67\) | 5.74052 | − | 1.53817i | 0.701316 | − | 0.187917i | 0.109496 | − | 0.993987i | \(-0.465076\pi\) |
0.591820 | + | 0.806070i | \(0.298410\pi\) | |||||||
\(68\) | 2.04519 | 0.248015 | ||||||||
\(69\) | 12.6471 | − | 3.38878i | 1.52253 | − | 0.407961i | ||||
\(70\) | 6.14836 | − | 7.64354i | 0.734869 | − | 0.913578i | ||||
\(71\) | −4.58783 | + | 7.94636i | −0.544476 | + | 0.943059i | 0.454164 | + | 0.890918i | \(0.349938\pi\) |
−0.998640 | + | 0.0521413i | \(0.983395\pi\) | |||||||
\(72\) | −0.212512 | − | 0.368082i | −0.0250448 | − | 0.0433789i | ||||
\(73\) | 3.89688 | − | 3.89688i | 0.456095 | − | 0.456095i | −0.441276 | − | 0.897371i | \(-0.645474\pi\) |
0.897371 | + | 0.441276i | \(0.145474\pi\) | |||||||
\(74\) | 3.46273 | − | 5.10002i | 0.402534 | − | 0.592865i | ||||
\(75\) | −4.07459 | − | 7.86921i | −0.470493 | − | 0.908658i | ||||
\(76\) | −1.53097 | − | 0.410222i | −0.175614 | − | 0.0470556i | ||||
\(77\) | 16.4242 | − | 4.40086i | 1.87172 | − | 0.501525i | ||||
\(78\) | 0.124615 | + | 0.465070i | 0.0141099 | + | 0.0526588i | ||||
\(79\) | 0.253243 | + | 0.945115i | 0.0284920 | + | 0.106334i | 0.978708 | − | 0.205260i | \(-0.0658039\pi\) |
−0.950215 | + | 0.311594i | \(0.899137\pi\) | |||||||
\(80\) | 1.99862 | − | 1.46209i | 0.223453 | − | 0.163467i | ||||
\(81\) | −4.70165 | + | 8.14350i | −0.522406 | + | 0.904834i | ||||
\(82\) | −9.94069 | −1.09777 | ||||||||
\(83\) | −1.56298 | + | 5.83311i | −0.171559 | + | 0.640267i | 0.825553 | + | 0.564324i | \(0.190863\pi\) |
−0.997112 | + | 0.0759424i | \(0.975803\pi\) | |||||||
\(84\) | − | 7.46446i | − | 0.814439i | ||||||
\(85\) | −3.79356 | + | 2.77518i | −0.411470 | + | 0.301010i | ||||
\(86\) | 1.13244 | + | 1.96144i | 0.122114 | + | 0.211508i | ||||
\(87\) | 3.27261 | − | 5.66833i | 0.350861 | − | 0.607709i | ||||
\(88\) | 11.8347 | 1.26159 | ||||||||
\(89\) | −3.28522 | + | 12.2606i | −0.348232 | + | 1.29962i | 0.540558 | + | 0.841307i | \(0.318213\pi\) |
−0.888790 | + | 0.458314i | \(0.848453\pi\) | |||||||
\(90\) | 0.292463 | + | 0.129069i | 0.0308283 | + | 0.0136050i | ||||
\(91\) | −0.300334 | + | 1.12086i | −0.0314835 | + | 0.117498i | ||||
\(92\) | 6.22489 | + | 3.59394i | 0.648990 | + | 0.374694i | ||||
\(93\) | 5.89355 | + | 3.40264i | 0.611132 | + | 0.352837i | ||||
\(94\) | 0.160878 | − | 0.600406i | 0.0165933 | − | 0.0619272i | ||||
\(95\) | 3.39640 | − | 1.31651i | 0.348463 | − | 0.135071i | ||||
\(96\) | 2.24925 | − | 8.39430i | 0.229563 | − | 0.856740i | ||||
\(97\) | 16.3211 | 1.65716 | 0.828580 | − | 0.559871i | \(-0.189149\pi\) | ||||
0.828580 | + | 0.559871i | \(0.189149\pi\) | |||||||
\(98\) | −5.94805 | + | 10.3023i | −0.600844 | + | 1.04069i | ||||
\(99\) | 0.277061 | + | 0.479884i | 0.0278457 | + | 0.0482302i | ||||
\(100\) | 1.47302 | − | 4.63641i | 0.147302 | − | 0.463641i | ||||
\(101\) | − | 6.82417i | − | 0.679030i | −0.940601 | − | 0.339515i | \(-0.889737\pi\) | ||
0.940601 | − | 0.339515i | \(-0.110263\pi\) | |||||||
\(102\) | 0.977169 | − | 3.64684i | 0.0967541 | − | 0.361091i | ||||
\(103\) | −9.99590 | −0.984925 | −0.492462 | − | 0.870334i | \(-0.663903\pi\) | ||||
−0.492462 | + | 0.870334i | \(0.663903\pi\) | |||||||
\(104\) | −0.403826 | + | 0.699447i | −0.0395984 | + | 0.0685864i | ||||
\(105\) | 10.1288 | + | 13.8456i | 0.988466 | + | 1.35120i | ||||
\(106\) | 3.35437 | + | 12.5187i | 0.325805 | + | 1.21592i | ||||
\(107\) | −3.45593 | − | 12.8977i | −0.334097 | − | 1.24687i | −0.904845 | − | 0.425742i | \(-0.860013\pi\) |
0.570748 | − | 0.821125i | \(-0.306653\pi\) | |||||||
\(108\) | −4.76189 | + | 1.27594i | −0.458213 | + | 0.122778i | ||||
\(109\) | −15.0658 | − | 4.03686i | −1.44304 | − | 0.386661i | −0.549442 | − | 0.835532i | \(-0.685160\pi\) |
−0.893597 | + | 0.448870i | \(0.851826\pi\) | |||||||
\(110\) | −7.18418 | + | 5.25558i | −0.684985 | + | 0.501100i | ||||
\(111\) | 7.04776 | + | 8.15774i | 0.668943 | + | 0.774298i | ||||
\(112\) | −3.38981 | + | 3.38981i | −0.320307 | + | 0.320307i | ||||
\(113\) | −0.127097 | − | 0.220138i | −0.0119562 | − | 0.0207088i | 0.859985 | − | 0.510319i | \(-0.170473\pi\) |
−0.871942 | + | 0.489610i | \(0.837139\pi\) | |||||||
\(114\) | −1.46296 | + | 2.53392i | −0.137019 | + | 0.237324i | ||||
\(115\) | −16.4231 | + | 1.78044i | −1.53147 | + | 0.166027i | ||||
\(116\) | 3.47074 | − | 0.929983i | 0.322250 | − | 0.0863467i | ||||
\(117\) | −0.0378157 | −0.00349606 | ||||||||
\(118\) | 6.34227 | − | 1.69941i | 0.583853 | − | 0.156443i | ||||
\(119\) | 6.43415 | − | 6.43415i | 0.589818 | − | 0.589818i | ||||
\(120\) | 4.31535 | + | 11.1330i | 0.393936 | + | 1.01630i | ||||
\(121\) | −4.42942 | −0.402675 | ||||||||
\(122\) | −0.171345 | − | 0.171345i | −0.0155128 | − | 0.0155128i | ||||
\(123\) | 4.49942 | − | 16.7921i | 0.405699 | − | 1.51409i | ||||
\(124\) | 0.966933 | + | 3.60864i | 0.0868331 | + | 0.324066i | ||||
\(125\) | 3.55902 | + | 10.5987i | 0.318329 | + | 0.947980i | ||||
\(126\) | −0.597773 | − | 0.160173i | −0.0532538 | − | 0.0142693i | ||||
\(127\) | −14.8748 | − | 3.98568i | −1.31992 | − | 0.353672i | −0.470974 | − | 0.882147i | \(-0.656097\pi\) |
−0.848949 | + | 0.528475i | \(0.822764\pi\) | |||||||
\(128\) | 2.18775 | − | 1.26310i | 0.193371 | − | 0.111643i | ||||
\(129\) | −3.82589 | + | 1.02514i | −0.336851 | + | 0.0902589i | ||||
\(130\) | −0.0654719 | − | 0.603926i | −0.00574226 | − | 0.0529678i | ||||
\(131\) | 16.2035 | + | 4.34172i | 1.41571 | + | 0.379338i | 0.883960 | − | 0.467563i | \(-0.154868\pi\) |
0.531750 | + | 0.846901i | \(0.321535\pi\) | |||||||
\(132\) | −1.75308 | + | 6.54260i | −0.152586 | + | 0.569460i | ||||
\(133\) | −6.10698 | + | 3.52587i | −0.529542 | + | 0.305731i | ||||
\(134\) | 4.25880 | − | 4.25880i | 0.367904 | − | 0.367904i | ||||
\(135\) | 7.10134 | − | 8.82827i | 0.611186 | − | 0.759817i | ||||
\(136\) | 5.48471 | − | 3.16660i | 0.470310 | − | 0.271534i | ||||
\(137\) | −9.75337 | + | 9.75337i | −0.833287 | + | 0.833287i | −0.987965 | − | 0.154678i | \(-0.950566\pi\) |
0.154678 | + | 0.987965i | \(0.450566\pi\) | |||||||
\(138\) | 9.38268 | − | 9.38268i | 0.798706 | − | 0.798706i | ||||
\(139\) | 0.508796 | + | 0.881260i | 0.0431555 | + | 0.0747475i | 0.886796 | − | 0.462160i | \(-0.152926\pi\) |
−0.843641 | + | 0.536908i | \(0.819592\pi\) | |||||||
\(140\) | −1.44284 | + | 9.30651i | −0.121942 | + | 0.786544i | ||||
\(141\) | 0.941404 | + | 0.543520i | 0.0792806 | + | 0.0457726i | ||||
\(142\) | 9.29891i | 0.780348i | ||||||||
\(143\) | 0.526485 | − | 0.911899i | 0.0440269 | − | 0.0762568i | ||||
\(144\) | −0.135296 | − | 0.0781132i | −0.0112747 | − | 0.00650943i | ||||
\(145\) | −5.17587 | + | 6.43456i | −0.429833 | + | 0.534361i | ||||
\(146\) | 1.44552 | − | 5.39474i | 0.119632 | − | 0.446472i | ||||
\(147\) | −14.7107 | − | 14.7107i | −1.21332 | − | 1.21332i | ||||
\(148\) | −0.430879 | + | 5.90255i | −0.0354180 | + | 0.485187i | ||||
\(149\) | − | 3.73610i | − | 0.306073i | −0.988221 | − | 0.153037i | \(-0.951095\pi\) | ||
0.988221 | − | 0.153037i | \(-0.0489052\pi\) | |||||||
\(150\) | −7.56355 | − | 4.84182i | −0.617561 | − | 0.395333i | ||||
\(151\) | −12.9439 | − | 7.47316i | −1.05336 | − | 0.608157i | −0.129772 | − | 0.991544i | \(-0.541424\pi\) |
−0.923588 | + | 0.383386i | \(0.874758\pi\) | |||||||
\(152\) | −4.74085 | + | 1.27031i | −0.384534 | + | 0.103035i | ||||
\(153\) | 0.256804 | + | 0.148266i | 0.0207614 | + | 0.0119866i | ||||
\(154\) | 12.1849 | − | 12.1849i | 0.981885 | − | 0.981885i | ||||
\(155\) | −6.69022 | − | 5.38152i | −0.537372 | − | 0.432254i | ||||
\(156\) | −0.326857 | − | 0.326857i | −0.0261695 | − | 0.0261695i | ||||
\(157\) | 16.8850 | + | 4.52432i | 1.34757 | + | 0.361080i | 0.859237 | − | 0.511577i | \(-0.170939\pi\) |
0.488333 | + | 0.872657i | \(0.337605\pi\) | |||||||
\(158\) | 0.701165 | + | 0.701165i | 0.0557817 | + | 0.0557817i | ||||
\(159\) | −22.6651 | −1.79746 | ||||||||
\(160\) | −4.42688 | + | 10.0311i | −0.349976 | + | 0.793024i | ||||
\(161\) | 30.8901 | − | 8.27697i | 2.43448 | − | 0.652316i | ||||
\(162\) | 9.52961i | 0.748717i | ||||||||
\(163\) | 4.87509 | + | 8.44390i | 0.381846 | + | 0.661377i | 0.991326 | − | 0.131424i | \(-0.0419550\pi\) |
−0.609480 | + | 0.792802i | \(0.708622\pi\) | |||||||
\(164\) | 8.26505 | − | 4.77183i | 0.645392 | − | 0.372617i | ||||
\(165\) | −5.62611 | − | 14.5145i | −0.437992 | − | 1.12995i | ||||
\(166\) | 1.58397 | + | 5.91146i | 0.122940 | + | 0.458818i | ||||
\(167\) | −10.4815 | + | 18.1545i | −0.811084 | + | 1.40484i | 0.101021 | + | 0.994884i | \(0.467789\pi\) |
−0.912106 | + | 0.409955i | \(0.865544\pi\) | |||||||
\(168\) | −11.5574 | − | 20.0179i | −0.891669 | − | 1.54442i | ||||
\(169\) | −6.46407 | − | 11.1961i | −0.497236 | − | 0.861238i | ||||
\(170\) | −1.92322 | + | 4.35792i | −0.147505 | + | 0.334237i | ||||
\(171\) | −0.162497 | − | 0.162497i | −0.0124265 | − | 0.0124265i | ||||
\(172\) | −1.88310 | − | 1.08721i | −0.143585 | − | 0.0828989i | ||||
\(173\) | −11.3547 | − | 3.04249i | −0.863283 | − | 0.231316i | −0.200102 | − | 0.979775i | \(-0.564127\pi\) |
−0.663181 | + | 0.748459i | \(0.730794\pi\) | |||||||
\(174\) | − | 6.63314i | − | 0.502857i | ||||||
\(175\) | −9.95202 | − | 19.2203i | −0.752302 | − | 1.45291i | ||||
\(176\) | 3.76729 | − | 2.17504i | 0.283970 | − | 0.163950i | ||||
\(177\) | 11.4827i | 0.863094i | ||||||||
\(178\) | 3.32935 | + | 12.4253i | 0.249545 | + | 0.931315i | ||||
\(179\) | 8.75966 | + | 8.75966i | 0.654727 | + | 0.654727i | 0.954128 | − | 0.299400i | \(-0.0967866\pi\) |
−0.299400 | + | 0.954128i | \(0.596787\pi\) | |||||||
\(180\) | −0.305121 | + | 0.0330783i | −0.0227424 | + | 0.00246551i | ||||
\(181\) | −7.74083 | + | 13.4075i | −0.575371 | + | 0.996572i | 0.420630 | + | 0.907232i | \(0.361809\pi\) |
−0.996001 | + | 0.0893398i | \(0.971524\pi\) | |||||||
\(182\) | 0.304368 | + | 1.13592i | 0.0225612 | + | 0.0841997i | ||||
\(183\) | 0.366996 | − | 0.211885i | 0.0271291 | − | 0.0156630i | ||||
\(184\) | 22.2583 | 1.64090 | ||||||||
\(185\) | −7.21013 | − | 11.5332i | −0.530100 | − | 0.847935i | ||||
\(186\) | 6.89669 | 0.505690 | ||||||||
\(187\) | −7.15065 | + | 4.12843i | −0.522907 | + | 0.301901i | ||||
\(188\) | 0.154453 | + | 0.576426i | 0.0112646 | + | 0.0420402i | ||||
\(189\) | −10.9668 | + | 18.9950i | −0.797716 | + | 1.38168i | ||||
\(190\) | 2.31378 | − | 2.87645i | 0.167859 | − | 0.208680i | ||||
\(191\) | −13.5352 | − | 13.5352i | −0.979375 | − | 0.979375i | 0.0204165 | − | 0.999792i | \(-0.493501\pi\) |
−0.999792 | + | 0.0204165i | \(0.993501\pi\) | |||||||
\(192\) | −3.29545 | − | 12.2988i | −0.237828 | − | 0.887587i | ||||
\(193\) | − | 24.0435i | − | 1.73069i | −0.501178 | − | 0.865344i | \(-0.667100\pi\) | ||
0.501178 | − | 0.865344i | \(-0.332900\pi\) | |||||||
\(194\) | 14.3244 | − | 8.27018i | 1.02843 | − | 0.593764i | ||||
\(195\) | 1.04980 | + | 0.162756i | 0.0751779 | + | 0.0116552i | ||||
\(196\) | − | 11.4210i | − | 0.815783i | ||||||
\(197\) | −8.12083 | − | 2.17597i | −0.578585 | − | 0.155031i | −0.0423540 | − | 0.999103i | \(-0.513486\pi\) |
−0.536231 | + | 0.844071i | \(0.680152\pi\) | |||||||
\(198\) | 0.486330 | + | 0.280783i | 0.0345620 | + | 0.0199544i | ||||
\(199\) | −6.61718 | − | 6.61718i | −0.469079 | − | 0.469079i | 0.432537 | − | 0.901616i | \(-0.357618\pi\) |
−0.901616 | + | 0.432537i | \(0.857618\pi\) | |||||||
\(200\) | −3.22834 | − | 14.7145i | −0.228278 | − | 1.04047i | ||||
\(201\) | 5.26643 | + | 9.12172i | 0.371465 | + | 0.643397i | ||||
\(202\) | −3.45792 | − | 5.98929i | −0.243298 | − | 0.421405i | ||||
\(203\) | 7.99323 | − | 13.8447i | 0.561015 | − | 0.971706i | ||||
\(204\) | 0.938140 | + | 3.50119i | 0.0656829 | + | 0.245132i | ||||
\(205\) | −8.85559 | + | 20.0663i | −0.618501 | + | 1.40149i | ||||
\(206\) | −8.77298 | + | 5.06508i | −0.611242 | + | 0.352901i | ||||
\(207\) | 0.521086 | + | 0.902547i | 0.0362180 | + | 0.0627314i | ||||
\(208\) | 0.296869i | 0.0205841i | ||||||||
\(209\) | 6.18085 | − | 1.65615i | 0.427538 | − | 0.114558i | ||||
\(210\) | 15.9054 | + | 7.01933i | 1.09758 | + | 0.484380i | ||||
\(211\) | 19.0951 | 1.31456 | 0.657282 | − | 0.753645i | \(-0.271706\pi\) | ||||
0.657282 | + | 0.753645i | \(0.271706\pi\) | |||||||
\(212\) | −8.79827 | − | 8.79827i | −0.604268 | − | 0.604268i | ||||
\(213\) | −15.7080 | − | 4.20894i | −1.07629 | − | 0.288392i | ||||
\(214\) | −9.56859 | − | 9.56859i | −0.654095 | − | 0.654095i | ||||
\(215\) | 4.96819 | − | 0.538603i | 0.338828 | − | 0.0367324i | ||||
\(216\) | −10.7947 | + | 10.7947i | −0.734486 | + | 0.734486i | ||||
\(217\) | 14.3948 | + | 8.31082i | 0.977180 | + | 0.564175i | ||||
\(218\) | −15.2681 | + | 4.09109i | −1.03409 | + | 0.277083i | ||||
\(219\) | 8.45865 | + | 4.88360i | 0.571583 | + | 0.330003i | ||||
\(220\) | 3.45035 | − | 7.81830i | 0.232623 | − | 0.527109i | ||||
\(221\) | − | 0.563483i | − | 0.0379040i | ||||||
\(222\) | 10.3192 | + | 3.58849i | 0.692578 | + | 0.240844i | ||||
\(223\) | 7.44920 | + | 7.44920i | 0.498835 | + | 0.498835i | 0.911075 | − | 0.412240i | \(-0.135253\pi\) |
−0.412240 | + | 0.911075i | \(0.635253\pi\) | |||||||
\(224\) | 5.49370 | − | 20.5028i | 0.367063 | − | 1.36990i | ||||
\(225\) | 0.521076 | − | 0.475384i | 0.0347384 | − | 0.0316923i | ||||
\(226\) | −0.223095 | − | 0.128804i | −0.0148400 | − | 0.00856789i | ||||
\(227\) | −7.79133 | + | 13.4950i | −0.517129 | + | 0.895693i | 0.482673 | + | 0.875800i | \(0.339666\pi\) |
−0.999802 | + | 0.0198927i | \(0.993668\pi\) | |||||||
\(228\) | − | 2.80906i | − | 0.186035i | ||||||
\(229\) | −7.06495 | − | 4.07895i | −0.466865 | − | 0.269545i | 0.248061 | − | 0.968744i | \(-0.420207\pi\) |
−0.714927 | + | 0.699200i | \(0.753540\pi\) | |||||||
\(230\) | −13.5117 | + | 9.88448i | −0.890936 | + | 0.651764i | ||||
\(231\) | 15.0678 | + | 26.0982i | 0.991389 | + | 1.71714i | ||||
\(232\) | 7.86781 | − | 7.86781i | 0.516547 | − | 0.516547i | ||||
\(233\) | 4.53783 | − | 4.53783i | 0.297283 | − | 0.297283i | −0.542666 | − | 0.839949i | \(-0.682585\pi\) |
0.839949 | + | 0.542666i | \(0.182585\pi\) | |||||||
\(234\) | −0.0331893 | + | 0.0191618i | −0.00216965 | + | 0.00125265i | ||||
\(235\) | −1.06866 | − | 0.859616i | −0.0697118 | − | 0.0560752i | ||||
\(236\) | −4.45742 | + | 4.45742i | −0.290154 | + | 0.290154i | ||||
\(237\) | −1.50179 | + | 0.867061i | −0.0975519 | + | 0.0563216i | ||||
\(238\) | 2.38670 | − | 8.90728i | 0.154707 | − | 0.577373i | ||||
\(239\) | −1.58332 | − | 0.424248i | −0.102416 | − | 0.0274423i | 0.207247 | − | 0.978289i | \(-0.433550\pi\) |
−0.309663 | + | 0.950846i | \(0.600216\pi\) | |||||||
\(240\) | 3.41976 | + | 2.75080i | 0.220744 | + | 0.177564i | ||||
\(241\) | −6.57515 | + | 1.76181i | −0.423543 | + | 0.113488i | −0.464293 | − | 0.885681i | \(-0.653692\pi\) |
0.0407508 | + | 0.999169i | \(0.487025\pi\) | |||||||
\(242\) | −3.88752 | + | 2.24446i | −0.249899 | + | 0.144279i | ||||
\(243\) | −1.41492 | − | 0.379127i | −0.0907672 | − | 0.0243210i | ||||
\(244\) | 0.224713 | + | 0.0602117i | 0.0143858 | + | 0.00385466i | ||||
\(245\) | 15.4975 | + | 21.1845i | 0.990097 | + | 1.35343i | ||||
\(246\) | −4.55986 | − | 17.0176i | −0.290726 | − | 1.08500i | ||||
\(247\) | −0.113023 | + | 0.421808i | −0.00719148 | + | 0.0268390i | ||||
\(248\) | 8.18042 | + | 8.18042i | 0.519457 | + | 0.519457i | ||||
\(249\) | −10.7027 | −0.678258 | ||||||||
\(250\) | 8.49416 | + | 7.49866i | 0.537218 | + | 0.474257i | ||||
\(251\) | 11.6312 | − | 11.6312i | 0.734155 | − | 0.734155i | −0.237285 | − | 0.971440i | \(-0.576257\pi\) |
0.971440 | + | 0.237285i | \(0.0762575\pi\) | |||||||
\(252\) | 0.573897 | − | 0.153775i | 0.0361521 | − | 0.00968694i | ||||
\(253\) | −29.0190 | −1.82441 | ||||||||
\(254\) | −15.0746 | + | 4.03922i | −0.945863 | + | 0.253443i | ||||
\(255\) | −6.49101 | − | 5.22127i | −0.406483 | − | 0.326969i | ||||
\(256\) | 8.46428 | − | 14.6606i | 0.529017 | − | 0.916285i | ||||
\(257\) | 0.152649 | + | 0.264395i | 0.00952197 | + | 0.0164925i | 0.870747 | − | 0.491731i | \(-0.163636\pi\) |
−0.861225 | + | 0.508224i | \(0.830302\pi\) | |||||||
\(258\) | −2.83837 | + | 2.83837i | −0.176709 | + | 0.176709i | ||||
\(259\) | 17.2139 | + | 19.9250i | 1.06962 | + | 1.23808i | ||||
\(260\) | 0.344338 | + | 0.470697i | 0.0213549 | + | 0.0291914i | ||||
\(261\) | 0.503223 | + | 0.134838i | 0.0311487 | + | 0.00834628i | ||||
\(262\) | 16.4212 | − | 4.40004i | 1.01450 | − | 0.271836i | ||||
\(263\) | 1.35819 | + | 5.06885i | 0.0837498 | + | 0.312559i | 0.995075 | − | 0.0991297i | \(-0.0316059\pi\) |
−0.911325 | + | 0.411688i | \(0.864939\pi\) | |||||||
\(264\) | 5.42866 | + | 20.2600i | 0.334111 | + | 1.24692i | ||||
\(265\) | 28.2584 | + | 4.38104i | 1.73590 | + | 0.269125i | ||||
\(266\) | −3.57323 | + | 6.18901i | −0.219089 | + | 0.379473i | ||||
\(267\) | −22.4961 | −1.37674 | ||||||||
\(268\) | −1.49657 | + | 5.58527i | −0.0914174 | + | 0.341175i | ||||
\(269\) | 21.7559i | 1.32648i | 0.748407 | + | 0.663240i | \(0.230819\pi\) | ||||
−0.748407 | + | 0.663240i | \(0.769181\pi\) | |||||||
\(270\) | 1.75912 | − | 11.3466i | 0.107056 | − | 0.690530i | ||||
\(271\) | 1.85366 | + | 3.21064i | 0.112602 | + | 0.195033i | 0.916819 | − | 0.399304i | \(-0.130748\pi\) |
−0.804217 | + | 0.594336i | \(0.797415\pi\) | |||||||
\(272\) | 1.16395 | − | 2.01601i | 0.0705746 | − | 0.122239i | ||||
\(273\) | −2.05658 | −0.124470 | ||||||||
\(274\) | −3.61793 | + | 13.5023i | −0.218567 | + | 0.815705i | ||||
\(275\) | 4.20893 | + | 19.1839i | 0.253808 | + | 1.15683i | ||||
\(276\) | −3.29713 | + | 12.3051i | −0.198464 | + | 0.740677i | ||||
\(277\) | −10.1084 | − | 5.83610i | −0.607356 | − | 0.350657i | 0.164574 | − | 0.986365i | \(-0.447375\pi\) |
−0.771930 | + | 0.635708i | \(0.780708\pi\) | |||||||
\(278\) | 0.893097 | + | 0.515630i | 0.0535644 | + | 0.0309254i | ||||
\(279\) | −0.140196 | + | 0.523217i | −0.00839330 | + | 0.0313242i | ||||
\(280\) | 10.5401 | + | 27.1919i | 0.629891 | + | 1.62502i | ||||
\(281\) | 0.514721 | − | 1.92096i | 0.0307057 | − | 0.114595i | −0.948872 | − | 0.315661i | \(-0.897774\pi\) |
0.979578 | + | 0.201066i | \(0.0644405\pi\) | |||||||
\(282\) | 1.10164 | 0.0656018 | ||||||||
\(283\) | 9.80541 | − | 16.9835i | 0.582871 | − | 1.00956i | −0.412266 | − | 0.911064i | \(-0.635263\pi\) |
0.995137 | − | 0.0984990i | \(-0.0314041\pi\) | |||||||
\(284\) | −4.46376 | − | 7.73145i | −0.264875 | − | 0.458777i | ||||
\(285\) | 3.81170 | + | 5.21046i | 0.225786 | + | 0.308641i | ||||
\(286\) | − | 1.06711i | − | 0.0630998i | ||||||
\(287\) | 10.9897 | − | 41.0140i | 0.648700 | − | 2.42098i | ||||
\(288\) | 0.691724 | 0.0407603 | ||||||||
\(289\) | 6.29073 | − | 10.8959i | 0.370043 | − | 0.640933i | ||||
\(290\) | −1.28215 | + | 8.27004i | −0.0752903 | + | 0.485634i | ||||
\(291\) | 7.48661 | + | 27.9404i | 0.438873 | + | 1.63790i | ||||
\(292\) | 1.38778 | + | 5.17927i | 0.0812137 | + | 0.303094i | ||||
\(293\) | 4.47135 | − | 1.19809i | 0.261219 | − | 0.0699934i | −0.125833 | − | 0.992051i | \(-0.540160\pi\) |
0.387052 | + | 0.922058i | \(0.373494\pi\) | |||||||
\(294\) | −20.3651 | − | 5.45682i | −1.18772 | − | 0.318248i | ||||
\(295\) | 2.21954 | − | 14.3164i | 0.129227 | − | 0.833532i | ||||
\(296\) | 7.98351 | + | 16.4964i | 0.464032 | + | 0.958833i | ||||
\(297\) | 14.0735 | − | 14.0735i | 0.816628 | − | 0.816628i | ||||
\(298\) | −1.89314 | − | 3.27902i | −0.109667 | − | 0.189948i | ||||
\(299\) | 0.990192 | − | 1.71506i | 0.0572643 | − | 0.0991847i | ||||
\(300\) | 8.61282 | + | 0.394933i | 0.497262 | + | 0.0228015i | ||||
\(301\) | −9.34460 | + | 2.50388i | −0.538614 | + | 0.144321i | ||||
\(302\) | −15.1471 | −0.871617 | ||||||||
\(303\) | 11.6824 | − | 3.13029i | 0.671137 | − | 0.179831i | ||||
\(304\) | −1.27567 | + | 1.27567i | −0.0731646 | + | 0.0731646i | ||||
\(305\) | −0.498518 | + | 0.193235i | −0.0285451 | + | 0.0110646i | ||||
\(306\) | 0.300515 | 0.0171793 | ||||||||
\(307\) | 24.1730 | + | 24.1730i | 1.37963 | + | 1.37963i | 0.845240 | + | 0.534388i | \(0.179458\pi\) |
0.534388 | + | 0.845240i | \(0.320542\pi\) | |||||||
\(308\) | −4.28184 | + | 15.9800i | −0.243980 | + | 0.910548i | ||||
\(309\) | −4.58518 | − | 17.1121i | −0.260842 | − | 0.973475i | ||||
\(310\) | −8.59863 | − | 1.33309i | −0.488370 | − | 0.0757145i | ||||
\(311\) | 13.6720 | + | 3.66339i | 0.775265 | + | 0.207732i | 0.624696 | − | 0.780868i | \(-0.285223\pi\) |
0.150569 | + | 0.988600i | \(0.451889\pi\) | |||||||
\(312\) | −1.38263 | − | 0.370475i | −0.0782761 | − | 0.0209740i | ||||
\(313\) | 7.97080 | − | 4.60194i | 0.450536 | − | 0.260117i | −0.257520 | − | 0.966273i | \(-0.582905\pi\) |
0.708057 | + | 0.706156i | \(0.249572\pi\) | |||||||
\(314\) | 17.1118 | − | 4.58510i | 0.965675 | − | 0.258752i | ||||
\(315\) | −0.855846 | + | 1.06397i | −0.0482214 | + | 0.0599481i | ||||
\(316\) | −0.919554 | − | 0.246394i | −0.0517290 | − | 0.0138607i | ||||
\(317\) | −5.74636 | + | 21.4457i | −0.322748 | + | 1.20451i | 0.593809 | + | 0.804606i | \(0.297624\pi\) |
−0.916556 | + | 0.399905i | \(0.869043\pi\) | |||||||
\(318\) | −19.8922 | + | 11.4848i | −1.11550 | + | 0.644035i | ||||
\(319\) | −10.2576 | + | 10.2576i | −0.574315 | + | 0.574315i | ||||
\(320\) | 1.73140 | + | 15.9708i | 0.0967884 | + | 0.892796i | ||||
\(321\) | 20.4945 | − | 11.8325i | 1.14389 | − | 0.660427i | ||||
\(322\) | 22.9168 | − | 22.9168i | 1.27711 | − | 1.27711i | ||||
\(323\) | 2.42133 | − | 2.42133i | 0.134726 | − | 0.134726i | ||||
\(324\) | −4.57450 | − | 7.92326i | −0.254139 | − | 0.440181i | ||||
\(325\) | −1.27741 | − | 0.405841i | −0.0708579 | − | 0.0225120i | ||||
\(326\) | 8.55732 | + | 4.94057i | 0.473946 | + | 0.273633i | ||||
\(327\) | − | 27.6431i | − | 1.52867i | ||||||
\(328\) | 14.7766 | − | 25.5938i | 0.815902 | − | 1.41318i | ||||
\(329\) | 2.29934 | + | 1.32753i | 0.126767 | + | 0.0731890i | ||||
\(330\) | −12.2925 | − | 9.88794i | −0.676682 | − | 0.544313i | ||||
\(331\) | 1.43861 | − | 5.36897i | 0.0790733 | − | 0.295105i | −0.915053 | − | 0.403334i | \(-0.867851\pi\) |
0.994126 | + | 0.108229i | \(0.0345179\pi\) | |||||||
\(332\) | −4.15464 | − | 4.15464i | −0.228016 | − | 0.228016i | ||||
\(333\) | −0.482009 | + | 0.709918i | −0.0264139 | + | 0.0389032i | ||||
\(334\) | 21.2446i | 1.16245i | ||||||||
\(335\) | −4.80288 | − | 12.3907i | −0.262410 | − | 0.676977i | ||||
\(336\) | −7.35799 | − | 4.24814i | −0.401411 | − | 0.231755i | ||||
\(337\) | −5.78510 | + | 1.55011i | −0.315134 | + | 0.0844400i | −0.412919 | − | 0.910768i | \(-0.635491\pi\) |
0.0977850 | + | 0.995208i | \(0.468824\pi\) | |||||||
\(338\) | −11.3465 | − | 6.55090i | −0.617168 | − | 0.356322i | ||||
\(339\) | 0.318557 | − | 0.318557i | 0.0173016 | − | 0.0173016i | ||||
\(340\) | −0.492892 | − | 4.54653i | −0.0267308 | − | 0.246570i | ||||
\(341\) | −10.6652 | − | 10.6652i | −0.577550 | − | 0.577550i | ||||
\(342\) | −0.224957 | − | 0.0602770i | −0.0121643 | − | 0.00325940i | ||||
\(343\) | −14.5039 | − | 14.5039i | −0.783139 | − | 0.783139i | ||||
\(344\) | −6.73338 | −0.363040 | ||||||||
\(345\) | −10.5814 | − | 27.2983i | −0.569681 | − | 1.46969i | ||||
\(346\) | −11.5072 | + | 3.08335i | −0.618632 | + | 0.165762i | ||||
\(347\) | 11.2020i | 0.601355i | 0.953726 | + | 0.300677i | \(0.0972127\pi\) | ||||
−0.953726 | + | 0.300677i | \(0.902787\pi\) | |||||||
\(348\) | 3.18410 | + | 5.51503i | 0.170686 | + | 0.295637i | ||||
\(349\) | 21.8275 | − | 12.6021i | 1.16840 | − | 0.674575i | 0.215096 | − | 0.976593i | \(-0.430994\pi\) |
0.953302 | + | 0.302018i | \(0.0976603\pi\) | |||||||
\(350\) | −18.4737 | − | 11.8260i | −0.987460 | − | 0.632124i | ||||
\(351\) | 0.351544 | + | 1.31198i | 0.0187640 | + | 0.0700283i | ||||
\(352\) | −9.63046 | + | 16.6804i | −0.513305 | + | 0.889070i | ||||
\(353\) | −1.09025 | − | 1.88837i | −0.0580282 | − | 0.100508i | 0.835552 | − | 0.549411i | \(-0.185148\pi\) |
−0.893580 | + | 0.448904i | \(0.851815\pi\) | |||||||
\(354\) | 5.81848 | + | 10.0779i | 0.309249 | + | 0.535634i | ||||
\(355\) | 18.7708 | + | 8.28387i | 0.996249 | + | 0.439662i | ||||
\(356\) | −8.73265 | − | 8.73265i | −0.462829 | − | 0.462829i | ||||
\(357\) | 13.9661 | + | 8.06334i | 0.739165 | + | 0.426757i | ||||
\(358\) | 12.1266 | + | 3.24932i | 0.640913 | + | 0.171732i | ||||
\(359\) | − | 24.3590i | − | 1.28562i | −0.766026 | − | 0.642809i | \(-0.777769\pi\) | ||
0.766026 | − | 0.642809i | \(-0.222231\pi\) | |||||||
\(360\) | −0.767047 | + | 0.561132i | −0.0404269 | + | 0.0295743i | ||||
\(361\) | 14.1563 | − | 8.17313i | 0.745067 | − | 0.430165i | ||||
\(362\) | 15.6896i | 0.824627i | ||||||||
\(363\) | −2.03180 | − | 7.58280i | −0.106642 | − | 0.397994i | ||||
\(364\) | −0.798336 | − | 0.798336i | −0.0418442 | − | 0.0418442i | ||||
\(365\) | −9.60208 | − | 7.72377i | −0.502596 | − | 0.404281i | ||||
\(366\) | 0.214731 | − | 0.371925i | 0.0112242 | − | 0.0194408i | ||||
\(367\) | 9.08453 | + | 33.9039i | 0.474209 | + | 1.76977i | 0.624390 | + | 0.781113i | \(0.285348\pi\) |
−0.150182 | + | 0.988658i | \(0.547986\pi\) | |||||||
\(368\) | 7.08536 | − | 4.09074i | 0.369350 | − | 0.213244i | ||||
\(369\) | 1.38374 | 0.0720344 | ||||||||
\(370\) | −12.1721 | − | 6.46869i | −0.632796 | − | 0.336291i | ||||
\(371\) | −55.3587 | −2.87408 | ||||||||
\(372\) | −5.73416 | + | 3.31062i | −0.297302 | + | 0.171647i | ||||
\(373\) | 3.41347 | + | 12.7392i | 0.176743 | + | 0.659612i | 0.996248 | + | 0.0865413i | \(0.0275815\pi\) |
−0.819506 | + | 0.573071i | \(0.805752\pi\) | |||||||
\(374\) | −4.18388 | + | 7.24669i | −0.216343 | + | 0.374718i | ||||
\(375\) | −16.5116 | + | 10.9545i | −0.852656 | + | 0.565686i | ||||
\(376\) | 1.30670 | + | 1.30670i | 0.0673878 | + | 0.0673878i | ||||
\(377\) | −0.256226 | − | 0.956248i | −0.0131963 | − | 0.0492493i | ||||
\(378\) | 22.2282i | 1.14329i | ||||||||
\(379\) | 6.23908 | − | 3.60213i | 0.320480 | − | 0.185029i | −0.331127 | − | 0.943586i | \(-0.607429\pi\) |
0.651606 | + | 0.758557i | \(0.274095\pi\) | |||||||
\(380\) | −0.542975 | + | 3.50227i | −0.0278540 | + | 0.179663i | ||||
\(381\) | − | 27.2926i | − | 1.39824i | ||||||
\(382\) | −18.7378 | − | 5.02079i | −0.958711 | − | 0.256886i | ||||
\(383\) | −6.21651 | − | 3.58910i | −0.317649 | − | 0.183395i | 0.332695 | − | 0.943034i | \(-0.392042\pi\) |
−0.650344 | + | 0.759640i | \(0.725375\pi\) | |||||||
\(384\) | 3.16585 | + | 3.16585i | 0.161557 | + | 0.161557i | ||||
\(385\) | −13.7416 | − | 35.4512i | −0.700335 | − | 1.80676i | ||||
\(386\) | −12.1832 | − | 21.1020i | −0.620110 | − | 1.07406i | ||||
\(387\) | −0.157634 | − | 0.273031i | −0.00801301 | − | 0.0138789i | ||||
\(388\) | −7.93987 | + | 13.7523i | −0.403086 | + | 0.698165i | ||||
\(389\) | 2.89596 | + | 10.8079i | 0.146831 | + | 0.547980i | 0.999667 | + | 0.0258018i | \(0.00821389\pi\) |
−0.852836 | + | 0.522179i | \(0.825119\pi\) | |||||||
\(390\) | 1.00384 | − | 0.389107i | 0.0508313 | − | 0.0197032i | ||||
\(391\) | −13.4487 | + | 7.76458i | −0.680128 | + | 0.392672i | ||||
\(392\) | −17.6833 | − | 30.6284i | −0.893141 | − | 1.54697i | ||||
\(393\) | 29.7307i | 1.49971i | ||||||||
\(394\) | −8.22991 | + | 2.20520i | −0.414617 | + | 0.111096i | ||||
\(395\) | 2.04000 | − | 0.790743i | 0.102643 | − | 0.0397866i | ||||
\(396\) | −0.539136 | −0.0270926 | ||||||||
\(397\) | 0.865789 | + | 0.865789i | 0.0434527 | + | 0.0434527i | 0.728499 | − | 0.685047i | \(-0.240218\pi\) |
−0.685047 | + | 0.728499i | \(0.740218\pi\) | |||||||
\(398\) | −9.16065 | − | 2.45459i | −0.459182 | − | 0.123037i | ||||
\(399\) | −8.83730 | − | 8.83730i | −0.442418 | − | 0.442418i | ||||
\(400\) | −3.73196 | − | 4.09066i | −0.186598 | − | 0.204533i | ||||
\(401\) | 14.5396 | − | 14.5396i | 0.726073 | − | 0.726073i | −0.243762 | − | 0.969835i | \(-0.578382\pi\) |
0.969835 | + | 0.243762i | \(0.0783816\pi\) | |||||||
\(402\) | 9.24424 | + | 5.33717i | 0.461061 | + | 0.266194i | ||||
\(403\) | 0.994242 | − | 0.266406i | 0.0495267 | − | 0.0132706i | ||||
\(404\) | 5.75007 | + | 3.31981i | 0.286077 | + | 0.165166i | ||||
\(405\) | 19.2365 | + | 8.48938i | 0.955867 | + | 0.421841i | ||||
\(406\) | − | 16.2012i | − | 0.804052i | ||||||
\(407\) | −10.4084 | − | 21.5070i | −0.515927 | − | 1.06606i | ||||
\(408\) | 7.93682 | + | 7.93682i | 0.392931 | + | 0.392931i | ||||
\(409\) | −5.47683 | + | 20.4398i | −0.270812 | + | 1.01068i | 0.687785 | + | 0.725915i | \(0.258583\pi\) |
−0.958596 | + | 0.284768i | \(0.908083\pi\) | |||||||
\(410\) | 2.39572 | + | 22.0986i | 0.118316 | + | 1.09137i | ||||
\(411\) | −21.1709 | − | 12.2230i | −1.04428 | − | 0.602917i | ||||
\(412\) | 4.86278 | − | 8.42258i | 0.239572 | − | 0.414951i | ||||
\(413\) | 28.0461i | 1.38006i | ||||||||
\(414\) | 0.914671 | + | 0.528085i | 0.0449536 | + | 0.0259540i | ||||
\(415\) | 13.3439 | + | 2.06878i | 0.655027 | + | 0.101552i | ||||
\(416\) | −0.657224 | − | 1.13834i | −0.0322230 | − | 0.0558120i | ||||
\(417\) | −1.27526 | + | 1.27526i | −0.0624495 | + | 0.0624495i | ||||
\(418\) | 4.58547 | − | 4.58547i | 0.224283 | − | 0.224283i | ||||
\(419\) | 15.3468 | − | 8.86048i | 0.749740 | − | 0.432863i | −0.0758597 | − | 0.997119i | \(-0.524170\pi\) |
0.825600 | + | 0.564256i | \(0.190837\pi\) | |||||||
\(420\) | −16.5938 | + | 1.79894i | −0.809695 | + | 0.0877794i | ||||
\(421\) | −17.3914 | + | 17.3914i | −0.847607 | + | 0.847607i | −0.989834 | − | 0.142227i | \(-0.954574\pi\) |
0.142227 | + | 0.989834i | \(0.454574\pi\) | |||||||
\(422\) | 16.7590 | − | 9.67582i | 0.815816 | − | 0.471011i | ||||
\(423\) | −0.0223941 | + | 0.0835760i | −0.00108884 | + | 0.00406361i | ||||
\(424\) | −37.2174 | − | 9.97238i | −1.80744 | − | 0.484302i | ||||
\(425\) | 7.08359 | + | 7.76444i | 0.343605 | + | 0.376630i | ||||
\(426\) | −15.9190 | + | 4.26547i | −0.771276 | + | 0.206663i | ||||
\(427\) | 0.896373 | − | 0.517521i | 0.0433785 | − | 0.0250446i | ||||
\(428\) | 12.5489 | + | 3.36246i | 0.606573 | + | 0.162531i | ||||
\(429\) | 1.80260 | + | 0.483004i | 0.0870302 | + | 0.0233197i | ||||
\(430\) | 4.08745 | − | 2.99017i | 0.197114 | − | 0.144199i | ||||
\(431\) | 0.398899 | + | 1.48871i | 0.0192143 | + | 0.0717087i | 0.974867 | − | 0.222786i | \(-0.0715152\pi\) |
−0.955653 | + | 0.294495i | \(0.904849\pi\) | |||||||
\(432\) | −1.45232 | + | 5.42013i | −0.0698747 | + | 0.260776i | ||||
\(433\) | 8.92144 | + | 8.92144i | 0.428737 | + | 0.428737i | 0.888198 | − | 0.459461i | \(-0.151957\pi\) |
−0.459461 | + | 0.888198i | \(0.651957\pi\) | |||||||
\(434\) | 16.8449 | 0.808581 | ||||||||
\(435\) | −13.3896 | − | 5.90908i | −0.641984 | − | 0.283319i | ||||
\(436\) | 10.7306 | − | 10.7306i | 0.513904 | − | 0.513904i | ||||
\(437\) | 11.6247 | − | 3.11483i | 0.556084 | − | 0.149002i | ||||
\(438\) | 9.89840 | 0.472964 | ||||||||
\(439\) | 24.7960 | − | 6.64406i | 1.18345 | − | 0.317104i | 0.387154 | − | 0.922015i | \(-0.373458\pi\) |
0.796293 | + | 0.604911i | \(0.206791\pi\) | |||||||
\(440\) | −2.85218 | − | 26.3091i | −0.135972 | − | 1.25424i | ||||
\(441\) | 0.827963 | − | 1.43407i | 0.0394268 | − | 0.0682893i | ||||
\(442\) | −0.285526 | − | 0.494546i | −0.0135811 | − | 0.0235231i | ||||
\(443\) | −9.05513 | + | 9.05513i | −0.430222 | + | 0.430222i | −0.888704 | − | 0.458482i | \(-0.848393\pi\) |
0.458482 | + | 0.888704i | \(0.348393\pi\) | |||||||
\(444\) | −10.3023 | + | 1.96991i | −0.488926 | + | 0.0934878i | ||||
\(445\) | 28.0476 | + | 4.34836i | 1.32958 | + | 0.206132i | ||||
\(446\) | 10.3125 | + | 2.76322i | 0.488310 | + | 0.130842i | ||||
\(447\) | 6.39589 | − | 1.71377i | 0.302515 | − | 0.0810587i | ||||
\(448\) | −8.04900 | − | 30.0393i | −0.380280 | − | 1.41922i | ||||
\(449\) | −3.84296 | − | 14.3421i | −0.181361 | − | 0.676847i | −0.995380 | − | 0.0960098i | \(-0.969392\pi\) |
0.814020 | − | 0.580837i | \(-0.197275\pi\) | |||||||
\(450\) | 0.216442 | − | 0.681262i | 0.0102032 | − | 0.0321150i | ||||
\(451\) | −19.2649 | + | 33.3678i | −0.907149 | + | 1.57123i | ||||
\(452\) | 0.247318 | 0.0116329 | ||||||||
\(453\) | 6.85598 | − | 25.5869i | 0.322122 | − | 1.20218i | ||||
\(454\) | 15.7920i | 0.741154i | ||||||||
\(455\) | 2.56410 | + | 0.397526i | 0.120207 | + | 0.0186363i | ||||
\(456\) | −4.34932 | − | 7.53324i | −0.203675 | − | 0.352776i | ||||
\(457\) | −2.32893 | + | 4.03382i | −0.108943 | + | 0.188694i | −0.915342 | − | 0.402677i | \(-0.868080\pi\) |
0.806399 | + | 0.591371i | \(0.201413\pi\) | |||||||
\(458\) | −8.26748 | −0.386314 | ||||||||
\(459\) | 2.75663 | − | 10.2879i | 0.128668 | − | 0.480197i | ||||
\(460\) | 6.48928 | − | 14.7043i | 0.302564 | − | 0.685594i | ||||
\(461\) | 7.96687 | − | 29.7328i | 0.371054 | − | 1.38479i | −0.487971 | − | 0.872860i | \(-0.662263\pi\) |
0.859025 | − | 0.511934i | \(-0.171071\pi\) | |||||||
\(462\) | 26.4488 | + | 15.2702i | 1.23051 | + | 0.710434i | ||||
\(463\) | 31.0731 | + | 17.9401i | 1.44409 | + | 0.833745i | 0.998119 | − | 0.0613031i | \(-0.0195256\pi\) |
0.445970 | + | 0.895048i | \(0.352859\pi\) | |||||||
\(464\) | 1.05854 | − | 3.95051i | 0.0491413 | − | 0.183398i | ||||
\(465\) | 6.14386 | − | 13.9216i | 0.284915 | − | 0.645601i | ||||
\(466\) | 1.68327 | − | 6.28205i | 0.0779760 | − | 0.291011i | ||||
\(467\) | −16.0702 | −0.743638 | −0.371819 | − | 0.928305i | \(-0.621266\pi\) | ||||
−0.371819 | + | 0.928305i | \(0.621266\pi\) | |||||||
\(468\) | 0.0183965 | − | 0.0318637i | 0.000850378 | − | 0.00147290i | ||||
\(469\) | 12.8631 | + | 22.2795i | 0.593960 | + | 1.02877i | ||||
\(470\) | −1.37350 | − | 0.212941i | −0.0633549 | − | 0.00982224i | ||||
\(471\) | 30.9811i | 1.42753i | ||||||||
\(472\) | −5.05226 | + | 18.8553i | −0.232549 | + | 0.867884i | ||||
\(473\) | 8.77859 | 0.403640 | ||||||||
\(474\) | −0.878707 | + | 1.52197i | −0.0403604 | + | 0.0699062i | ||||
\(475\) | −3.74519 | − | 7.23306i | −0.171841 | − | 0.331875i | ||||
\(476\) | 2.29137 | + | 8.55151i | 0.105025 | + | 0.391958i | ||||
\(477\) | −0.466925 | − | 1.74259i | −0.0213790 | − | 0.0797876i | ||||
\(478\) | −1.60458 | + | 0.429947i | −0.0733919 | + | 0.0196653i | ||||
\(479\) | −28.7794 | − | 7.71142i | −1.31497 | − | 0.352344i | −0.467876 | − | 0.883794i | \(-0.654981\pi\) |
−0.847089 | + | 0.531450i | \(0.821647\pi\) | |||||||
\(480\) | −19.2030 | − | 2.97714i | −0.876491 | − | 0.135887i | ||||
\(481\) | 1.62625 | + | 0.118714i | 0.0741507 | + | 0.00541291i | ||||
\(482\) | −4.87800 | + | 4.87800i | −0.222187 | + | 0.222187i | ||||
\(483\) | 28.3389 | + | 49.0845i | 1.28947 | + | 2.23342i | ||||
\(484\) | 2.15481 | − | 3.73225i | 0.0979461 | − | 0.169648i | ||||
\(485\) | −3.93341 | − | 36.2826i | −0.178607 | − | 1.64751i | ||||
\(486\) | −1.43393 | + | 0.384219i | −0.0650442 | + | 0.0174285i | ||||
\(487\) | 22.5194 | 1.02045 | 0.510226 | − | 0.860040i | \(-0.329562\pi\) | ||||
0.510226 | + | 0.860040i | \(0.329562\pi\) | |||||||
\(488\) | 0.695855 | − | 0.186454i | 0.0314999 | − | 0.00844036i | ||||
\(489\) | −12.2190 | + | 12.2190i | −0.552563 | + | 0.552563i | ||||
\(490\) | 24.3360 | + | 10.7399i | 1.09939 | + | 0.485179i | ||||
\(491\) | 17.6415 | 0.796150 | 0.398075 | − | 0.917353i | \(-0.369678\pi\) | ||||
0.398075 | + | 0.917353i | \(0.369678\pi\) | |||||||
\(492\) | 11.9602 | + | 11.9602i | 0.539208 | + | 0.539208i | ||||
\(493\) | −2.00919 | + | 7.49841i | −0.0904895 | + | 0.337712i | ||||
\(494\) | 0.114541 | + | 0.427473i | 0.00515345 | + | 0.0192329i | ||||
\(495\) | 1.00003 | − | 0.731572i | 0.0449481 | − | 0.0328817i | ||||
\(496\) | 4.10747 | + | 1.10059i | 0.184431 | + | 0.0494181i | ||||
\(497\) | −38.3661 | − | 10.2802i | −1.72096 | − | 0.461129i | ||||
\(498\) | −9.39334 | + | 5.42325i | −0.420926 | + | 0.243022i | ||||
\(499\) | 3.49043 | − | 0.935257i | 0.156253 | − | 0.0418678i | −0.179845 | − | 0.983695i | \(-0.557559\pi\) |
0.336098 | + | 0.941827i | \(0.390893\pi\) | |||||||
\(500\) | −10.6619 | − | 2.15720i | −0.476816 | − | 0.0964731i | ||||
\(501\) | −35.8870 | − | 9.61588i | −1.60331 | − | 0.429606i | ||||
\(502\) | 4.31450 | − | 16.1019i | 0.192566 | − | 0.718665i | ||||
\(503\) | 3.59403 | − | 2.07502i | 0.160250 | − | 0.0925204i | −0.417730 | − | 0.908571i | \(-0.637174\pi\) |
0.577980 | + | 0.816051i | \(0.303841\pi\) | |||||||
\(504\) | 1.30097 | − | 1.30097i | 0.0579496 | − | 0.0579496i | ||||
\(505\) | −15.1704 | + | 1.64463i | −0.675075 | + | 0.0731851i | ||||
\(506\) | −25.4688 | + | 14.7044i | −1.13223 | + | 0.653691i | ||||
\(507\) | 16.2017 | − | 16.2017i | 0.719541 | − | 0.719541i | ||||
\(508\) | 10.5946 | − | 10.5946i | 0.470059 | − | 0.470059i | ||||
\(509\) | −4.08143 | − | 7.06925i | −0.180906 | − | 0.313339i | 0.761283 | − | 0.648420i | \(-0.224570\pi\) |
−0.942189 | + | 0.335081i | \(0.891236\pi\) | |||||||
\(510\) | −8.34259 | − | 1.29339i | −0.369416 | − | 0.0572725i | ||||
\(511\) | 20.6599 | + | 11.9280i | 0.913942 | + | 0.527665i | ||||
\(512\) | − | 12.1036i | − | 0.534907i | ||||||
\(513\) | −4.12707 | + | 7.14829i | −0.182215 | + | 0.315605i | ||||
\(514\) | 0.267947 | + | 0.154699i | 0.0118186 | + | 0.00682349i | ||||
\(515\) | 2.40902 | + | 22.2213i | 0.106154 | + | 0.979188i | ||||
\(516\) | 0.997420 | − | 3.72242i | 0.0439090 | − | 0.163870i | ||||
\(517\) | −1.70360 | − | 1.70360i | −0.0749241 | − | 0.0749241i | ||||
\(518\) | 25.2042 | + | 8.76476i | 1.10741 | + | 0.385101i | ||||
\(519\) | − | 20.8339i | − | 0.914508i | ||||||
\(520\) | 1.65222 | + | 0.729155i | 0.0724548 | + | 0.0319756i | ||||
\(521\) | 10.7026 | + | 6.17917i | 0.468891 | + | 0.270714i | 0.715775 | − | 0.698331i | \(-0.246073\pi\) |
−0.246884 | + | 0.969045i | \(0.579407\pi\) | |||||||
\(522\) | 0.509983 | − | 0.136649i | 0.0223213 | − | 0.00598098i | ||||
\(523\) | −1.71152 | − | 0.988148i | −0.0748396 | − | 0.0432087i | 0.462113 | − | 0.886821i | \(-0.347091\pi\) |
−0.536953 | + | 0.843612i | \(0.680425\pi\) | |||||||
\(524\) | −11.5410 | + | 11.5410i | −0.504171 | + | 0.504171i | ||||
\(525\) | 28.3384 | − | 25.8535i | 1.23679 | − | 1.12834i | ||||
\(526\) | 3.76050 | + | 3.76050i | 0.163965 | + | 0.163965i | ||||
\(527\) | −7.79634 | − | 2.08902i | −0.339614 | − | 0.0909993i | ||||
\(528\) | 5.45157 | + | 5.45157i | 0.237249 | + | 0.237249i | ||||
\(529\) | −31.5779 | −1.37295 | ||||||||
\(530\) | 27.0211 | − | 10.4739i | 1.17372 | − | 0.454958i | ||||
\(531\) | −0.882838 | + | 0.236556i | −0.0383119 | + | 0.0102656i | ||||
\(532\) | − | 6.86102i | − | 0.297463i | ||||||
\(533\) | −1.31472 | − | 2.27716i | −0.0569468 | − | 0.0986348i | ||||
\(534\) | −19.7439 | + | 11.3991i | −0.854400 | + | 0.493288i | ||||
\(535\) | −27.8392 | + | 10.7910i | −1.20360 | + | 0.466537i | ||||
\(536\) | 4.63433 | + | 17.2955i | 0.200172 | + | 0.747054i | ||||
\(537\) | −10.9777 | + | 19.0139i | −0.473722 | + | 0.820511i | ||||
\(538\) | 11.0241 | + | 19.0942i | 0.475281 | + | 0.823211i | ||||
\(539\) | 23.0545 | + | 39.9315i | 0.993026 | + | 1.71997i | ||||
\(540\) | 3.98410 | + | 10.2784i | 0.171448 | + | 0.442311i | ||||
\(541\) | −9.95846 | − | 9.95846i | −0.428148 | − | 0.428148i | 0.459849 | − | 0.887997i | \(-0.347903\pi\) |
−0.887997 | + | 0.459849i | \(0.847903\pi\) | |||||||
\(542\) | 3.25377 | + | 1.87856i | 0.139761 | + | 0.0806912i | ||||
\(543\) | −26.5033 | − | 7.10154i | −1.13737 | − | 0.304756i | ||||
\(544\) | 10.3072i | 0.441919i | ||||||||
\(545\) | −5.34325 | + | 34.4647i | −0.228880 | + | 1.47631i | ||||
\(546\) | −1.80498 | + | 1.04210i | −0.0772459 | + | 0.0445979i | ||||
\(547\) | − | 16.5348i | − | 0.706976i | −0.935439 | − | 0.353488i | \(-0.884995\pi\) | ||
0.935439 | − | 0.353488i | \(-0.115005\pi\) | |||||||
\(548\) | −3.47343 | − | 12.9630i | −0.148378 | − | 0.553753i | ||||
\(549\) | 0.0238511 | + | 0.0238511i | 0.00101794 | + | 0.00101794i | ||||
\(550\) | 13.4148 | + | 14.7041i | 0.572008 | + | 0.626986i | ||||
\(551\) | 3.00805 | − | 5.21010i | 0.128147 | − | 0.221958i | ||||
\(552\) | 10.2100 | + | 38.1043i | 0.434567 | + | 1.62183i | ||||
\(553\) | −3.66807 | + | 2.11776i | −0.155982 | + | 0.0900564i | ||||
\(554\) | −11.8290 | −0.502565 | ||||||||
\(555\) | 16.4365 | − | 17.6335i | 0.697690 | − | 0.748500i | ||||
\(556\) | −0.990071 | −0.0419884 | ||||||||
\(557\) | 9.44721 | − | 5.45435i | 0.400291 | − | 0.231108i | −0.286318 | − | 0.958135i | \(-0.592432\pi\) |
0.686610 | + | 0.727026i | \(0.259098\pi\) | |||||||
\(558\) | 0.142079 | + | 0.530245i | 0.00601468 | + | 0.0224471i | ||||
\(559\) | −0.299544 | + | 0.518826i | −0.0126694 | + | 0.0219440i | ||||
\(560\) | 8.35263 | + | 6.71874i | 0.352963 | + | 0.283918i | ||||
\(561\) | −10.3476 | − | 10.3476i | −0.436875 | − | 0.436875i | ||||
\(562\) | −0.521634 | − | 1.94677i | −0.0220038 | − | 0.0821194i | ||||
\(563\) | 38.3173i | 1.61488i | 0.589950 | + | 0.807440i | \(0.299148\pi\) | ||||
−0.589950 | + | 0.807440i | \(0.700852\pi\) | |||||||
\(564\) | −0.915944 | + | 0.528821i | −0.0385682 | + | 0.0222674i | ||||
\(565\) | −0.458745 | + | 0.335594i | −0.0192995 | + | 0.0141186i | ||||
\(566\) | − | 19.8742i | − | 0.835377i | ||||||
\(567\) | −39.3180 | − | 10.5352i | −1.65120 | − | 0.442437i | ||||
\(568\) | −23.9415 | − | 13.8226i | −1.00456 | − | 0.579985i | ||||
\(569\) | 2.41721 | + | 2.41721i | 0.101335 | + | 0.101335i | 0.755957 | − | 0.654622i | \(-0.227172\pi\) |
−0.654622 | + | 0.755957i | \(0.727172\pi\) | |||||||
\(570\) | 5.98559 | + | 2.64155i | 0.250709 | + | 0.110642i | ||||
\(571\) | 16.1662 | + | 28.0006i | 0.676533 | + | 1.17179i | 0.976018 | + | 0.217689i | \(0.0698518\pi\) |
−0.299485 | + | 0.954101i | \(0.596815\pi\) | |||||||
\(572\) | 0.512246 | + | 0.887237i | 0.0214181 | + | 0.0370972i | ||||
\(573\) | 16.9625 | − | 29.3799i | 0.708618 | − | 1.22736i | ||||
\(574\) | −11.1373 | − | 41.5649i | −0.464861 | − | 1.73489i | ||||
\(575\) | 7.91599 | + | 36.0802i | 0.330119 | + | 1.50465i | ||||
\(576\) | 0.877690 | − | 0.506734i | 0.0365704 | − | 0.0211139i | ||||
\(577\) | −1.78617 | − | 3.09374i | −0.0743593 | − | 0.128794i | 0.826448 | − | 0.563013i | \(-0.190358\pi\) |
−0.900807 | + | 0.434219i | \(0.857025\pi\) | |||||||
\(578\) | − | 12.7504i | − | 0.530349i | ||||||
\(579\) | 41.1605 | − | 11.0289i | 1.71057 | − | 0.458346i | ||||
\(580\) | −2.90384 | − | 7.49148i | −0.120576 | − | 0.311067i | ||||
\(581\) | −26.1410 | −1.08451 | ||||||||
\(582\) | 20.7285 | + | 20.7285i | 0.859226 | + | 0.859226i | ||||
\(583\) | 48.5219 | + | 13.0014i | 2.00957 | + | 0.538464i | ||||
\(584\) | 11.7409 | + | 11.7409i | 0.485840 | + | 0.485840i | ||||
\(585\) | 0.00911362 | + | 0.0840659i | 0.000376802 | + | 0.00347570i | ||||
\(586\) | 3.31722 | − | 3.31722i | 0.137033 | − | 0.137033i | ||||
\(587\) | 14.5336 | + | 8.39100i | 0.599868 | + | 0.346334i | 0.768990 | − | 0.639261i | \(-0.220760\pi\) |
−0.169122 | + | 0.985595i | \(0.554093\pi\) | |||||||
\(588\) | 19.5517 | − | 5.23887i | 0.806300 | − | 0.216047i | ||||
\(589\) | 5.41711 | + | 3.12757i | 0.223208 | + | 0.128869i | ||||
\(590\) | −5.30634 | − | 13.6896i | −0.218459 | − | 0.563591i | ||||
\(591\) | − | 14.9003i | − | 0.612917i | ||||||
\(592\) | 5.57314 | + | 3.78397i | 0.229055 | + | 0.155520i | ||||
\(593\) | −14.3146 | − | 14.3146i | −0.587830 | − | 0.587830i | 0.349214 | − | 0.937043i | \(-0.386449\pi\) |
−0.937043 | + | 0.349214i | \(0.886449\pi\) | |||||||
\(594\) | 5.22045 | − | 19.4830i | 0.214198 | − | 0.799397i | ||||
\(595\) | −15.8540 | − | 12.7528i | −0.649952 | − | 0.522812i | ||||
\(596\) | 3.14805 | + | 1.81753i | 0.128949 | + | 0.0744488i | ||||
\(597\) | 8.29271 | − | 14.3634i | 0.339398 | − | 0.587855i | ||||
\(598\) | − | 2.00699i | − | 0.0820717i | ||||||
\(599\) | −24.6699 | − | 14.2432i | −1.00799 | − | 0.581961i | −0.0973846 | − | 0.995247i | \(-0.531048\pi\) |
−0.910601 | + | 0.413286i | \(0.864381\pi\) | |||||||
\(600\) | 23.7091 | − | 12.2763i | 0.967918 | − | 0.501177i | ||||
\(601\) | −19.7908 | − | 34.2787i | −0.807283 | − | 1.39826i | −0.914739 | − | 0.404046i | \(-0.867604\pi\) |
0.107456 | − | 0.994210i | \(-0.465730\pi\) | |||||||
\(602\) | −6.93261 | + | 6.93261i | −0.282552 | + | 0.282552i | ||||
\(603\) | −0.592821 | + | 0.592821i | −0.0241415 | + | 0.0241415i | ||||
\(604\) | 12.5938 | − | 7.27105i | 0.512436 | − | 0.295855i | ||||
\(605\) | 1.06749 | + | 9.84679i | 0.0433998 | + | 0.400329i | ||||
\(606\) | 8.66699 | − | 8.66699i | 0.352072 | − | 0.352072i | ||||
\(607\) | −5.25640 | + | 3.03478i | −0.213351 | + | 0.123178i | −0.602868 | − | 0.797841i | \(-0.705975\pi\) |
0.389517 | + | 0.921019i | \(0.372642\pi\) | |||||||
\(608\) | 2.06742 | − | 7.71570i | 0.0838448 | − | 0.312913i | ||||
\(609\) | 27.3675 | + | 7.33309i | 1.10899 | + | 0.297152i | ||||
\(610\) | −0.339613 | + | 0.422201i | −0.0137505 | + | 0.0170944i | ||||
\(611\) | 0.158815 | − | 0.0425544i | 0.00642497 | − | 0.00172157i | ||||
\(612\) | −0.249859 | + | 0.144256i | −0.0100999 | + | 0.00583120i | ||||
\(613\) | −31.0859 | − | 8.32945i | −1.25555 | − | 0.336423i | −0.431071 | − | 0.902318i | \(-0.641864\pi\) |
−0.824478 | + | 0.565895i | \(0.808531\pi\) | |||||||
\(614\) | 33.4645 | + | 8.96679i | 1.35052 | + | 0.361870i | ||||
\(615\) | −38.4139 | − | 5.95550i | −1.54900 | − | 0.240149i | ||||
\(616\) | 13.2593 | + | 49.4844i | 0.534233 | + | 1.99378i | ||||
\(617\) | 4.83390 | − | 18.0404i | 0.194605 | − | 0.726277i | −0.797763 | − | 0.602971i | \(-0.793984\pi\) |
0.992369 | − | 0.123307i | \(-0.0393498\pi\) | |||||||
\(618\) | −12.6952 | − | 12.6952i | −0.510677 | − | 0.510677i | ||||
\(619\) | −38.5241 | −1.54842 | −0.774208 | − | 0.632931i | \(-0.781852\pi\) | ||||
−0.774208 | + | 0.632931i | \(0.781852\pi\) | |||||||
\(620\) | 7.78914 | − | 3.01922i | 0.312819 | − | 0.121255i | ||||
\(621\) | 26.4689 | − | 26.4689i | 1.06216 | − | 1.06216i | ||||
\(622\) | 13.8556 | − | 3.71260i | 0.555559 | − | 0.148862i | ||||
\(623\) | −54.9458 | −2.20136 | ||||||||
\(624\) | −0.508214 | + | 0.136176i | −0.0203449 | + | 0.00545139i | ||||
\(625\) | 22.7037 | − | 10.4662i | 0.908149 | − | 0.418647i | ||||
\(626\) | 4.66376 | − | 8.07786i | 0.186401 | − | 0.322856i | ||||
\(627\) | 5.67039 | + | 9.82140i | 0.226454 | + | 0.392229i | ||||
\(628\) | −12.0264 | + | 12.0264i | −0.479905 | + | 0.479905i | ||||
\(629\) | −10.5783 | − | 7.18230i | −0.421785 | − | 0.286377i | ||||
\(630\) | −0.212007 | + | 1.36748i | −0.00844656 | + | 0.0544816i | ||||
\(631\) | 19.3376 | + | 5.18149i | 0.769816 | + | 0.206272i | 0.622290 | − | 0.782786i | \(-0.286202\pi\) |
0.147526 | + | 0.989058i | \(0.452869\pi\) | |||||||
\(632\) | −2.84752 | + | 0.762992i | −0.113268 | + | 0.0303502i | ||||
\(633\) | 8.75907 | + | 32.6893i | 0.348142 | + | 1.29928i | ||||
\(634\) | 5.82355 | + | 21.7338i | 0.231283 | + | 0.863159i | ||||
\(635\) | −5.27551 | + | 34.0278i | −0.209352 | + | 1.35035i | ||||
\(636\) | 11.0261 | − | 19.0977i | 0.437212 | − | 0.757274i | ||||
\(637\) | −3.14667 | −0.124676 | ||||||||
\(638\) | −3.80497 | + | 14.2003i | −0.150640 | + | 0.562197i | ||||
\(639\) | − | 1.29440i | − | 0.0512057i | ||||||
\(640\) | −3.33517 | − | 4.55905i | −0.131834 | − | 0.180212i | ||||
\(641\) | 17.2302 | + | 29.8436i | 0.680552 | + | 1.17875i | 0.974813 | + | 0.223026i | \(0.0715935\pi\) |
−0.294260 | + | 0.955725i | \(0.595073\pi\) | |||||||
\(642\) | 11.9915 | − | 20.7698i | 0.473265 | − | 0.819719i | ||||
\(643\) | −14.2978 | −0.563849 | −0.281925 | − | 0.959437i | \(-0.590973\pi\) | ||||
−0.281925 | + | 0.959437i | \(0.590973\pi\) | |||||||
\(644\) | −8.05312 | + | 30.0546i | −0.317337 | + | 1.18432i | ||||
\(645\) | 3.20098 | + | 8.25806i | 0.126039 | + | 0.325161i | ||||
\(646\) | 0.898173 | − | 3.35203i | 0.0353382 | − | 0.131884i | ||||
\(647\) | 9.05352 | + | 5.22705i | 0.355930 | + | 0.205497i | 0.667294 | − | 0.744794i | \(-0.267452\pi\) |
−0.311364 | + | 0.950291i | \(0.600786\pi\) | |||||||
\(648\) | −24.5355 | − | 14.1656i | −0.963844 | − | 0.556476i | ||||
\(649\) | 6.58684 | − | 24.5824i | 0.258556 | − | 0.964944i | ||||
\(650\) | −1.32677 | + | 0.291093i | −0.0520404 | + | 0.0114176i | ||||
\(651\) | −7.62446 | + | 28.4549i | −0.298826 | + | 1.11523i | ||||
\(652\) | −9.48648 | −0.371519 | ||||||||
\(653\) | −9.73992 | + | 16.8700i | −0.381153 | + | 0.660176i | −0.991227 | − | 0.132168i | \(-0.957806\pi\) |
0.610075 | + | 0.792344i | \(0.291139\pi\) | |||||||
\(654\) | −14.0072 | − | 24.2612i | −0.547725 | − | 0.948687i | ||||
\(655\) | 5.74677 | − | 37.0675i | 0.224545 | − | 1.44835i | ||||
\(656\) | − | 10.8629i | − | 0.424124i | ||||||
\(657\) | −0.201214 | + | 0.750942i | −0.00785012 | + | 0.0292971i | ||||
\(658\) | 2.69072 | 0.104895 | ||||||||
\(659\) | 2.35174 | − | 4.07334i | 0.0916109 | − | 0.158675i | −0.816578 | − | 0.577235i | \(-0.804132\pi\) |
0.908189 | + | 0.418560i | \(0.137465\pi\) | |||||||
\(660\) | 14.9670 | + | 2.32041i | 0.582588 | + | 0.0903217i | ||||
\(661\) | −7.45310 | − | 27.8153i | −0.289892 | − | 1.08189i | −0.945190 | − | 0.326521i | \(-0.894124\pi\) |
0.655298 | − | 0.755370i | \(-0.272543\pi\) | |||||||
\(662\) | −1.45794 | − | 5.44109i | −0.0566643 | − | 0.211474i | ||||
\(663\) | 0.964636 | − | 0.258473i | 0.0374634 | − | 0.0100383i | ||||
\(664\) | −17.5745 | − | 4.70907i | −0.682023 | − | 0.182747i | ||||
\(665\) | 9.30994 | + | 12.7263i | 0.361024 | + | 0.493506i | ||||
\(666\) | −0.0633123 | + | 0.867306i | −0.00245330 | + | 0.0336074i | ||||
\(667\) | −19.2921 | + | 19.2921i | −0.746992 | + | 0.746992i | ||||
\(668\) | −10.1980 | − | 17.6635i | −0.394574 | − | 0.683423i | ||||
\(669\) | −9.33541 | + | 16.1694i | −0.360928 | + | 0.625145i | ||||
\(670\) | −10.4939 | − | 8.44112i | −0.405413 | − | 0.326109i | ||||
\(671\) | −0.907215 | + | 0.243088i | −0.0350226 | + | 0.00938429i | ||||
\(672\) | 37.6190 | 1.45118 | ||||||||
\(673\) | −22.1606 | + | 5.93792i | −0.854229 | + | 0.228890i | −0.659256 | − | 0.751919i | \(-0.729129\pi\) |
−0.194973 | + | 0.980809i | \(0.562462\pi\) | |||||||
\(674\) | −4.29187 | + | 4.29187i | −0.165317 | + | 0.165317i | ||||
\(675\) | −21.3371 | − | 13.6590i | −0.821264 | − | 0.525733i | ||||
\(676\) | 12.5785 | 0.483789 | ||||||||
\(677\) | 1.38362 | + | 1.38362i | 0.0531769 | + | 0.0531769i | 0.733195 | − | 0.680018i | \(-0.238028\pi\) |
−0.680018 | + | 0.733195i | \(0.738028\pi\) | |||||||
\(678\) | 0.118166 | − | 0.441002i | 0.00453815 | − | 0.0169366i | ||||
\(679\) | 18.2858 | + | 68.2434i | 0.701743 | + | 2.61894i | ||||
\(680\) | −8.36130 | − | 11.4296i | −0.320641 | − | 0.438305i | ||||
\(681\) | −26.6762 | − | 7.14787i | −1.02223 | − | 0.273907i | ||||
\(682\) | −14.7646 | − | 3.95615i | −0.565364 | − | 0.151489i | ||||
\(683\) | 32.1320 | − | 18.5514i | 1.22950 | − | 0.709850i | 0.262572 | − | 0.964912i | \(-0.415429\pi\) |
0.966925 | + | 0.255062i | \(0.0820960\pi\) | |||||||
\(684\) | 0.215972 | − | 0.0578695i | 0.00825789 | − | 0.00221269i | ||||
\(685\) | 24.0327 | + | 19.3316i | 0.918243 | + | 0.738622i | ||||
\(686\) | −20.0789 | − | 5.38012i | −0.766615 | − | 0.205414i | ||||
\(687\) | 3.74208 | − | 13.9656i | 0.142769 | − | 0.532823i | ||||
\(688\) | −2.14340 | + | 1.23749i | −0.0817165 | + | 0.0471791i | ||||
\(689\) | −2.42407 | + | 2.42407i | −0.0923498 | + | 0.0923498i | ||||
\(690\) | −23.1193 | − | 18.5969i | −0.880138 | − | 0.707970i | ||||
\(691\) | −24.3215 | + | 14.0420i | −0.925234 | + | 0.534184i | −0.885301 | − | 0.465018i | \(-0.846048\pi\) |
−0.0399331 | + | 0.999202i | \(0.512714\pi\) | |||||||
\(692\) | 8.08742 | − | 8.08742i | 0.307438 | − | 0.307438i | ||||
\(693\) | −1.69612 | + | 1.69612i | −0.0644304 | + | 0.0644304i | ||||
\(694\) | 5.67623 | + | 9.83152i | 0.215467 | + | 0.373200i | ||||
\(695\) | 1.83646 | − | 1.34346i | 0.0696608 | − | 0.0509603i | ||||
\(696\) | 17.0780 | + | 9.86001i | 0.647342 | + | 0.373743i | ||||
\(697\) | 20.6187i | 0.780990i | ||||||||
\(698\) | 12.7714 | − | 22.1207i | 0.483404 | − | 0.837280i | ||||
\(699\) | 9.84992 | + | 5.68685i | 0.372558 | + | 0.215096i | ||||
\(700\) | 21.0365 | + | 0.964610i | 0.795105 | + | 0.0364588i | ||||
\(701\) | 4.58562 | − | 17.1138i | 0.173196 | − | 0.646378i | −0.823655 | − | 0.567091i | \(-0.808069\pi\) |
0.996852 | − | 0.0792871i | \(-0.0252644\pi\) | |||||||
\(702\) | 0.973337 | + | 0.973337i | 0.0367362 | + | 0.0367362i | ||||
\(703\) | 6.47801 | + | 7.49826i | 0.244323 | + | 0.282802i | ||||
\(704\) | 28.2198i | 1.06357i | ||||||||
\(705\) | 0.981389 | − | 2.22377i | 0.0369612 | − | 0.0837521i | ||||
\(706\) | −1.91374 | − | 1.10490i | −0.0720244 | − | 0.0415833i | ||||
\(707\) | 28.5338 | − | 7.64562i | 1.07313 | − | 0.287543i | ||||
\(708\) | −9.67538 | − | 5.58609i | −0.363623 | − | 0.209938i | ||||
\(709\) | −23.6127 | + | 23.6127i | −0.886793 | + | 0.886793i | −0.994214 | − | 0.107421i | \(-0.965741\pi\) |
0.107421 | + | 0.994214i | \(0.465741\pi\) | |||||||
\(710\) | 20.6719 | − | 2.24105i | 0.775802 | − | 0.0841050i | ||||
\(711\) | −0.0976016 | − | 0.0976016i | −0.00366034 | − | 0.00366034i | ||||
\(712\) | −36.9398 | − | 9.89800i | −1.38438 | − | 0.370943i | ||||
\(713\) | −20.0586 | − | 20.0586i | −0.751200 | − | 0.751200i | ||||
\(714\) | 16.3433 | 0.611633 | ||||||||
\(715\) | −2.15407 | − | 0.950630i | −0.0805578 | − | 0.0355515i | ||||
\(716\) | −11.6423 | + | 3.11954i | −0.435093 | + | 0.116583i | ||||
\(717\) | − | 2.90511i | − | 0.108493i | ||||||
\(718\) | −12.3431 | − | 21.3789i | −0.460640 | − | 0.797852i | ||||
\(719\) | 28.5108 | − | 16.4607i | 1.06327 | − | 0.613881i | 0.136938 | − | 0.990580i | \(-0.456274\pi\) |
0.926336 | + | 0.376698i | \(0.122941\pi\) | |||||||
\(720\) | −0.141042 | + | 0.319594i | −0.00525634 | + | 0.0119106i | ||||
\(721\) | −11.1991 | − | 41.7957i | −0.417078 | − | 1.55656i | ||||
\(722\) | 8.28291 | − | 14.3464i | 0.308258 | − | 0.533919i | ||||
\(723\) | −6.03213 | − | 10.4480i | −0.224337 | − | 0.388564i | ||||
\(724\) | −7.53148 | − | 13.0449i | −0.279905 | − | 0.484810i | ||||
\(725\) | 15.5517 | + | 9.95545i | 0.577576 | + | 0.369736i | ||||
\(726\) | −5.62555 | − | 5.62555i | −0.208784 | − | 0.208784i | ||||
\(727\) | −5.70307 | − | 3.29267i | −0.211515 | − | 0.122118i | 0.390500 | − | 0.920603i | \(-0.372302\pi\) |
−0.602015 | + | 0.798484i | \(0.705635\pi\) | |||||||
\(728\) | −3.37703 | − | 0.904872i | −0.125161 | − | 0.0335368i | ||||
\(729\) | 25.6138i | 0.948659i | ||||||||
\(730\) | −12.3411 | − | 1.91331i | −0.456765 | − | 0.0708146i | ||||
\(731\) | 4.06837 | − | 2.34888i | 0.150474 | − | 0.0868763i | ||||
\(732\) | 0.412309i | 0.0152394i | ||||||||
\(733\) | −0.382282 | − | 1.42670i | −0.0141199 | − | 0.0526962i | 0.958506 | − | 0.285071i | \(-0.0920171\pi\) |
−0.972626 | + | 0.232375i | \(0.925350\pi\) | |||||||
\(734\) | 25.1528 | + | 25.1528i | 0.928406 | + | 0.928406i | ||||
\(735\) | −29.1572 | + | 36.2478i | −1.07548 | + | 1.33702i | ||||
\(736\) | −18.1126 | + | 31.3719i | −0.667639 | + | 1.15638i | ||||
\(737\) | −6.04197 | − | 22.5489i | −0.222559 | − | 0.830601i | ||||
\(738\) | 1.21445 | − | 0.701161i | 0.0447044 | − | 0.0258101i | ||||
\(739\) | −6.34178 | −0.233286 | −0.116643 | − | 0.993174i | \(-0.537213\pi\) | ||||
−0.116643 | + | 0.993174i | \(0.537213\pi\) | |||||||
\(740\) | 13.2255 | − | 0.464659i | 0.486178 | − | 0.0170812i | ||||
\(741\) | −0.773943 | −0.0284315 | ||||||||
\(742\) | −48.5860 | + | 28.0512i | −1.78365 | + | 1.02979i | ||||
\(743\) | −8.21533 | − | 30.6600i | −0.301391 | − | 1.12481i | −0.936008 | − | 0.351980i | \(-0.885509\pi\) |
0.634617 | − | 0.772827i | \(-0.281158\pi\) | |||||||
\(744\) | −10.2518 | + | 17.7566i | −0.375848 | + | 0.650988i | ||||
\(745\) | −8.30550 | + | 0.900403i | −0.304290 | + | 0.0329882i | ||||
\(746\) | 9.45103 | + | 9.45103i | 0.346027 | + | 0.346027i | ||||
\(747\) | −0.220487 | − | 0.822869i | −0.00806720 | − | 0.0301072i | ||||
\(748\) | − | 8.03355i | − | 0.293736i | ||||||
\(749\) | 50.0571 | − | 28.9005i | 1.82905 | − | 1.05600i | ||||
\(750\) | −8.94075 | + | 17.9810i | −0.326470 | + | 0.656572i | ||||
\(751\) | 27.9167i | 1.01869i | 0.860561 | + | 0.509347i | \(0.170113\pi\) | ||||
−0.860561 | + | 0.509347i | \(0.829887\pi\) | |||||||
\(752\) | 0.656106 | + | 0.175803i | 0.0239257 | + | 0.00641088i | ||||
\(753\) | 25.2470 | + | 14.5763i | 0.920050 | + | 0.531191i | ||||
\(754\) | −0.709425 | − | 0.709425i | −0.0258357 | − | 0.0258357i | ||||
\(755\) | −13.4937 | + | 30.5759i | −0.491085 | + | 1.11277i | ||||
\(756\) | −10.6702 | − | 18.4813i | −0.388071 | − | 0.672158i | ||||
\(757\) | −23.1375 | − | 40.0753i | −0.840946 | − | 1.45656i | −0.889096 | − | 0.457721i | \(-0.848666\pi\) |
0.0481498 | − | 0.998840i | \(-0.484668\pi\) | |||||||
\(758\) | 3.65052 | − | 6.32288i | 0.132593 | − | 0.229657i | ||||
\(759\) | −13.3112 | − | 49.6782i | −0.483167 | − | 1.80320i | ||||
\(760\) | 3.96650 | + | 10.2330i | 0.143880 | + | 0.371189i | ||||
\(761\) | −22.7137 | + | 13.1138i | −0.823372 | + | 0.475374i | −0.851578 | − | 0.524228i | \(-0.824354\pi\) |
0.0282057 | + | 0.999602i | \(0.491021\pi\) | |||||||
\(762\) | −13.8296 | − | 23.9536i | −0.500994 | − | 0.867747i | ||||
\(763\) | − | 67.5172i | − | 2.44429i | ||||||
\(764\) | 17.9894 | − | 4.82025i | 0.650835 | − | 0.174391i | ||||
\(765\) | 0.267711 | − | 0.606618i | 0.00967912 | − | 0.0219323i | ||||
\(766\) | −7.27462 | −0.262843 | ||||||||
\(767\) | 1.22810 | + | 1.22810i | 0.0443440 | + | 0.0443440i | ||||
\(768\) | 28.9803 | + | 7.76524i | 1.04574 | + | 0.280204i | ||||
\(769\) | −22.2506 | − | 22.2506i | −0.802378 | − | 0.802378i | 0.181089 | − | 0.983467i | \(-0.442038\pi\) |
−0.983467 | + | 0.181089i | \(0.942038\pi\) | |||||||
\(770\) | −30.0241 | − | 24.1509i | −1.08199 | − | 0.870339i | ||||
\(771\) | −0.382602 | + | 0.382602i | −0.0137791 | + | 0.0137791i | ||||
\(772\) | 20.2591 | + | 11.6966i | 0.729143 | + | 0.420971i | ||||
\(773\) | −2.99260 | + | 0.801865i | −0.107636 | + | 0.0288411i | −0.312235 | − | 0.950005i | \(-0.601078\pi\) |
0.204599 | + | 0.978846i | \(0.434411\pi\) | |||||||
\(774\) | −0.276698 | − | 0.159752i | −0.00994572 | − | 0.00574216i | ||||
\(775\) | −10.3510 | + | 16.1696i | −0.371819 | + | 0.580829i | ||||
\(776\) | 49.1738i | 1.76523i | ||||||||
\(777\) | −26.2138 | + | 38.6084i | −0.940413 | + | 1.38507i | ||||
\(778\) | 8.01818 | + | 8.01818i | 0.287466 | + | 0.287466i | ||||
\(779\) | 4.13569 | − | 15.4346i | 0.148176 | − | 0.553002i | ||||
\(780\) | −0.647844 | + | 0.805390i | −0.0231965 | + | 0.0288376i | ||||
\(781\) | 31.2135 | + | 18.0211i | 1.11691 | + | 0.644847i | ||||
\(782\) | −7.86888 | + | 13.6293i | −0.281391 | + | 0.487383i | ||||
\(783\) | − | 18.7123i | − | 0.668725i | ||||||
\(784\) | −11.2581 | − | 6.49985i | −0.402074 | − | 0.232137i | ||||
\(785\) | 5.98846 | − | 38.6265i | 0.213737 | − | 1.37864i | ||||
\(786\) | 15.0650 | + | 26.0934i | 0.537351 | + | 0.930719i | ||||
\(787\) | −22.4880 | + | 22.4880i | −0.801611 | + | 0.801611i | −0.983347 | − | 0.181736i | \(-0.941828\pi\) |
0.181736 | + | 0.983347i | \(0.441828\pi\) | |||||||
\(788\) | 5.78408 | − | 5.78408i | 0.206049 | − | 0.206049i | ||||
\(789\) | −8.05443 | + | 4.65023i | −0.286745 | + | 0.165553i | ||||
\(790\) | 1.38974 | − | 1.72770i | 0.0494447 | − | 0.0614689i | ||||
\(791\) | 0.778064 | − | 0.778064i | 0.0276648 | − | 0.0276648i | ||||
\(792\) | −1.44584 | + | 0.834755i | −0.0513756 | + | 0.0296617i | ||||
\(793\) | 0.0165893 | − | 0.0619123i | 0.000589105 | − | 0.00219857i | ||||
\(794\) | 1.19858 | + | 0.321158i | 0.0425359 | + | 0.0113975i | ||||
\(795\) | 5.46232 | + | 50.3856i | 0.193729 | + | 1.78699i | ||||
\(796\) | 8.79477 | − | 2.35655i | 0.311722 | − | 0.0835257i | ||||
\(797\) | 24.4152 | − | 14.0961i | 0.864831 | − | 0.499310i | −0.000796000 | − | 1.00000i | \(-0.500253\pi\) |
0.865627 | + | 0.500689i | \(0.166920\pi\) | |||||||
\(798\) | −12.2341 | − | 3.27813i | −0.433084 | − | 0.116044i | ||||
\(799\) | −1.24535 | − | 0.333690i | −0.0440572 | − | 0.0118051i | ||||
\(800\) | 23.3663 | + | 7.42365i | 0.826125 | + | 0.262466i | ||||
\(801\) | −0.463442 | − | 1.72959i | −0.0163749 | − | 0.0611120i | ||||
\(802\) | 5.39335 | − | 20.1283i | 0.190446 | − | 0.710753i | ||||
\(803\) | −15.3071 | − | 15.3071i | −0.540174 | − | 0.540174i | ||||
\(804\) | −10.2480 | −0.361419 | ||||||||
\(805\) | −25.8446 | − | 66.6752i | −0.910902 | − | 2.34999i | ||||
\(806\) | 0.737612 | − | 0.737612i | 0.0259813 | − | 0.0259813i | ||||
\(807\) | −37.2443 | + | 9.97957i | −1.31106 | + | 0.351298i | ||||
\(808\) | 20.5605 | 0.723314 | ||||||||
\(809\) | −41.0360 | + | 10.9956i | −1.44275 | + | 0.386583i | −0.893495 | − | 0.449073i | \(-0.851754\pi\) |
−0.549253 | + | 0.835656i | \(0.685088\pi\) | |||||||
\(810\) | 21.1847 | − | 2.29665i | 0.744356 | − | 0.0806959i | ||||
\(811\) | 20.0302 | − | 34.6933i | 0.703356 | − | 1.21825i | −0.263926 | − | 0.964543i | \(-0.585017\pi\) |
0.967282 | − | 0.253705i | \(-0.0816492\pi\) | |||||||
\(812\) | 7.77706 | + | 13.4703i | 0.272921 | + | 0.472713i | ||||
\(813\) | −4.64606 | + | 4.64606i | −0.162944 | + | 0.162944i | ||||
\(814\) | −20.0330 | − | 13.6017i | −0.702157 | − | 0.476740i | ||||
\(815\) | 17.5962 | − | 12.8725i | 0.616370 | − | 0.450905i | ||||
\(816\) | 3.98516 | + | 1.06782i | 0.139508 | + | 0.0373812i | ||||
\(817\) | −3.51660 | + | 0.942271i | −0.123030 | + | 0.0329659i | ||||
\(818\) | 5.55039 | + | 20.7143i | 0.194065 | + | 0.724260i | ||||
\(819\) | −0.0423677 | − | 0.158118i | −0.00148045 | − | 0.00552511i | ||||
\(820\) | −12.5999 | − | 17.2235i | −0.440006 | − | 0.601472i | ||||
\(821\) | 1.03001 | − | 1.78403i | 0.0359477 | − | 0.0622632i | −0.847492 | − | 0.530808i | \(-0.821888\pi\) |
0.883440 | + | 0.468545i | \(0.155222\pi\) | |||||||
\(822\) | −24.7744 | −0.864106 | ||||||||
\(823\) | −1.22541 | + | 4.57328i | −0.0427150 | + | 0.159415i | −0.983989 | − | 0.178229i | \(-0.942963\pi\) |
0.941274 | + | 0.337644i | \(0.109630\pi\) | |||||||
\(824\) | − | 30.1165i | − | 1.04916i | ||||||
\(825\) | −30.9105 | + | 16.0051i | −1.07617 | + | 0.557226i | ||||
\(826\) | 14.2114 | + | 24.6149i | 0.494478 | + | 0.856462i | ||||
\(827\) | −12.9664 | + | 22.4584i | −0.450886 | + | 0.780957i | −0.998441 | − | 0.0558126i | \(-0.982225\pi\) |
0.547556 | + | 0.836769i | \(0.315558\pi\) | |||||||
\(828\) | −1.01399 | −0.0352385 | ||||||||
\(829\) | 8.79787 | − | 32.8341i | 0.305563 | − | 1.14037i | −0.626898 | − | 0.779102i | \(-0.715676\pi\) |
0.932460 | − | 0.361273i | \(-0.117658\pi\) | |||||||
\(830\) | 12.7597 | − | 4.94590i | 0.442895 | − | 0.171675i | ||||
\(831\) | 5.35411 | − | 19.9818i | 0.185732 | − | 0.693162i | ||||
\(832\) | −1.66783 | − | 0.962920i | −0.0578215 | − | 0.0333833i | ||||
\(833\) | 21.3688 | + | 12.3373i | 0.740386 | + | 0.427462i | ||||
\(834\) | −0.473046 | + | 1.76543i | −0.0163802 | + | 0.0611319i | ||||
\(835\) | 42.8843 | + | 18.9256i | 1.48407 | + | 0.654948i | ||||
\(836\) | −1.61136 | + | 6.01369i | −0.0557301 | + | 0.207988i | ||||
\(837\) | 19.4558 | 0.672492 | ||||||||
\(838\) | 8.97950 | − | 15.5529i | 0.310192 | − | 0.537268i | ||||
\(839\) | 8.16709 | + | 14.1458i | 0.281959 | + | 0.488368i | 0.971867 | − | 0.235529i | \(-0.0756823\pi\) |
−0.689908 | + | 0.723897i | \(0.742349\pi\) | |||||||
\(840\) | −41.7154 | + | 30.5168i | −1.43932 | + | 1.05293i | ||||
\(841\) | − | 15.3613i | − | 0.529702i | ||||||
\(842\) | −6.45122 | + | 24.0763i | −0.222324 | + | 0.829723i | ||||
\(843\) | 3.52463 | 0.121395 | ||||||||
\(844\) | −9.28936 | + | 16.0896i | −0.319753 | + | 0.553828i | ||||
\(845\) | −23.3316 | + | 17.0682i | −0.802630 | + | 0.587163i | ||||
\(846\) | 0.0226949 | + | 0.0846986i | 0.000780268 | + | 0.00291200i | ||||
\(847\) | −4.96261 | − | 18.5207i | −0.170517 | − | 0.636379i | ||||
\(848\) | −13.6800 | + | 3.66555i | −0.469774 | + | 0.125875i | ||||
\(849\) | 33.5721 | + | 8.99561i | 1.15219 | + | 0.308729i | ||||
\(850\) | 10.1513 | + | 3.22515i | 0.348188 | + | 0.110622i | ||||
\(851\) | −19.5758 | − | 40.4496i | −0.671049 | − | 1.38659i | ||||
\(852\) | 11.1880 | − | 11.1880i | 0.383296 | − | 0.383296i | ||||
\(853\) | 17.1813 | + | 29.7590i | 0.588278 | + | 1.01893i | 0.994458 | + | 0.105135i | \(0.0335273\pi\) |
−0.406180 | + | 0.913793i | \(0.633139\pi\) | |||||||
\(854\) | 0.524473 | − | 0.908413i | 0.0179471 | − | 0.0310853i | ||||
\(855\) | −0.322076 | + | 0.400400i | −0.0110148 | + | 0.0136934i | ||||
\(856\) | 38.8593 | − | 10.4123i | 1.32818 | − | 0.355886i | ||||
\(857\) | 6.04089 | 0.206353 | 0.103176 | − | 0.994663i | \(-0.467099\pi\) | ||||
0.103176 | + | 0.994663i | \(0.467099\pi\) | |||||||
\(858\) | 1.82681 | − | 0.489492i | 0.0623662 | − | 0.0167110i | ||||
\(859\) | 28.5713 | − | 28.5713i | 0.974841 | − | 0.974841i | −0.0248498 | − | 0.999691i | \(-0.507911\pi\) |
0.999691 | + | 0.0248498i | \(0.00791074\pi\) | |||||||
\(860\) | −1.96308 | + | 4.44823i | −0.0669406 | + | 0.151683i | ||||
\(861\) | 75.2536 | 2.56464 | ||||||||
\(862\) | 1.10445 | + | 1.10445i | 0.0376177 | + | 0.0376177i | ||||
\(863\) | 0.605428 | − | 2.25949i | 0.0206090 | − | 0.0769138i | −0.954855 | − | 0.297071i | \(-0.903990\pi\) |
0.975464 | + | 0.220157i | \(0.0706569\pi\) | |||||||
\(864\) | −6.43044 | − | 23.9987i | −0.218768 | − | 0.816453i | ||||
\(865\) | −4.02708 | + | 25.9752i | −0.136925 | + | 0.883185i | ||||
\(866\) | 12.3506 | + | 3.30934i | 0.419691 | + | 0.112456i | ||||
\(867\) | 21.5384 | + | 5.77119i | 0.731482 | + | 0.196000i | ||||
\(868\) | −14.0055 | + | 8.08606i | −0.475376 | + | 0.274459i | ||||
\(869\) | 3.71244 | − | 0.994745i | 0.125936 | − | 0.0337444i | ||||
\(870\) | −14.7458 | + | 1.59859i | −0.499928 | + | 0.0541974i | ||||
\(871\) | 1.53884 | + | 0.412330i | 0.0521415 | + | 0.0139713i | ||||
\(872\) | 12.1626 | − | 45.3915i | 0.411878 | − | 1.53715i | ||||
\(873\) | −1.99394 | + | 1.15120i | −0.0674846 | + | 0.0389623i | ||||
\(874\) | 8.62417 | − | 8.62417i | 0.291717 | − | 0.291717i | ||||
\(875\) | −40.3290 | + | 26.7559i | −1.36337 | + | 0.904513i | ||||
\(876\) | −8.22989 | + | 4.75153i | −0.278062 | + | 0.160539i | ||||
\(877\) | 9.76380 | − | 9.76380i | 0.329700 | − | 0.329700i | −0.522772 | − | 0.852472i | \(-0.675102\pi\) |
0.852472 | + | 0.522772i | \(0.175102\pi\) | |||||||
\(878\) | 18.3957 | − | 18.3957i | 0.620826 | − | 0.620826i | ||||
\(879\) | 4.10207 | + | 7.10500i | 0.138359 | + | 0.239646i | ||||
\(880\) | −5.74314 | − | 7.85065i | −0.193601 | − | 0.264645i | ||||
\(881\) | 24.9295 | + | 14.3931i | 0.839896 | + | 0.484914i | 0.857229 | − | 0.514935i | \(-0.172184\pi\) |
−0.0173327 | + | 0.999850i | \(0.505517\pi\) | |||||||
\(882\) | − | 1.67817i | − | 0.0565069i | ||||||
\(883\) | −7.51654 | + | 13.0190i | −0.252952 | + | 0.438125i | −0.964337 | − | 0.264677i | \(-0.914735\pi\) |
0.711385 | + | 0.702802i | \(0.248068\pi\) | |||||||
\(884\) | 0.474793 | + | 0.274122i | 0.0159690 | + | 0.00921972i | ||||
\(885\) | 25.5266 | − | 2.76735i | 0.858066 | − | 0.0930233i | ||||
\(886\) | −3.35893 | + | 12.5357i | −0.112845 | + | 0.421145i | ||||
\(887\) | 38.8233 | + | 38.8233i | 1.30356 | + | 1.30356i | 0.925975 | + | 0.377586i | \(0.123246\pi\) |
0.377586 | + | 0.925975i | \(0.376754\pi\) | |||||||
\(888\) | −24.5784 | + | 21.2341i | −0.824796 | + | 0.712570i | ||||
\(889\) | − | 66.6612i | − | 2.23574i | ||||||
\(890\) | 26.8196 | − | 10.3958i | 0.898994 | − | 0.348468i | ||||
\(891\) | 31.9879 | + | 18.4682i | 1.07164 | + | 0.618709i | ||||
\(892\) | −9.90059 | + | 2.65286i | −0.331496 | + | 0.0888242i | ||||
\(893\) | 0.865300 | + | 0.499581i | 0.0289562 | + | 0.0167179i | ||||
\(894\) | 4.74500 | − | 4.74500i | 0.158697 | − | 0.158697i | ||||
\(895\) | 17.3620 | − | 21.5842i | 0.580348 | − | 0.721479i | ||||
\(896\) | 7.73247 | + | 7.73247i | 0.258324 | + | 0.258324i | ||||
\(897\) | 3.39025 | + | 0.908415i | 0.113197 | + | 0.0303311i | ||||
\(898\) | −10.6402 | − | 10.6402i | −0.355068 | − | 0.355068i | ||||
\(899\) | −14.1805 | −0.472948 | ||||||||
\(900\) | 0.147069 | + | 0.670324i | 0.00490229 | + | 0.0223441i | ||||
\(901\) | 25.9659 | − | 6.95754i | 0.865049 | − | 0.231789i | ||||
\(902\) | 39.0473i | 1.30013i | ||||||||
\(903\) | −8.57286 | − | 14.8486i | −0.285287 | − | 0.494131i | ||||
\(904\) | 0.663250 | − | 0.382928i | 0.0220594 | − | 0.0127360i | ||||
\(905\) | 31.6710 | + | 13.9770i | 1.05278 | + | 0.464610i | ||||
\(906\) | −6.94807 | − | 25.9305i | −0.230834 | − | 0.861485i | ||||
\(907\) | −9.63214 | + | 16.6834i | −0.319830 | + | 0.553962i | −0.980452 | − | 0.196757i | \(-0.936959\pi\) |
0.660622 | + | 0.750718i | \(0.270292\pi\) | |||||||
\(908\) | −7.58061 | − | 13.1300i | −0.251572 | − | 0.435735i | ||||
\(909\) | 0.481339 | + | 0.833703i | 0.0159650 | + | 0.0276522i | ||||
\(910\) | 2.45184 | − | 0.950379i | 0.0812776 | − | 0.0315048i | ||||
\(911\) | 5.48826 | + | 5.48826i | 0.181834 | + | 0.181834i | 0.792155 | − | 0.610320i | \(-0.208959\pi\) |
−0.610320 | + | 0.792155i | \(0.708959\pi\) | |||||||
\(912\) | −2.76899 | − | 1.59868i | −0.0916905 | − | 0.0529376i | ||||
\(913\) | 22.9126 | + | 6.13942i | 0.758297 | + | 0.203185i | ||||
\(914\) | 4.72042i | 0.156138i | ||||||||
\(915\) | −0.559476 | − | 0.764783i | −0.0184957 | − | 0.0252829i | ||||
\(916\) | 6.87388 | − | 3.96864i | 0.227119 | − | 0.131127i | ||||
\(917\) | 72.6160i | 2.39799i | ||||||||
\(918\) | −2.79366 | − | 10.4261i | −0.0922044 | − | 0.344112i | ||||
\(919\) | −21.8548 | − | 21.8548i | −0.720923 | − | 0.720923i | 0.247870 | − | 0.968793i | \(-0.420269\pi\) |
−0.968793 | + | 0.247870i | \(0.920269\pi\) | |||||||
\(920\) | −5.36427 | − | 49.4811i | −0.176855 | − | 1.63134i | ||||
\(921\) | −30.2939 | + | 52.4705i | −0.998217 | + | 1.72896i | ||||
\(922\) | −8.07389 | − | 30.1322i | −0.265899 | − | 0.992350i | ||||
\(923\) | −2.13015 | + | 1.22984i | −0.0701146 | + | 0.0404807i | ||||
\(924\) | −29.3206 | −0.964577 | ||||||||
\(925\) | −23.9011 | + | 18.8079i | −0.785863 | + | 0.618401i | ||||
\(926\) | 36.3621 | 1.19493 | ||||||||
\(927\) | 1.22119 | − | 0.705055i | 0.0401092 | − | 0.0231570i | ||||
\(928\) | 4.68688 | + | 17.4917i | 0.153854 | + | 0.574193i | ||||
\(929\) | −9.62773 | + | 16.6757i | −0.315875 | + | 0.547112i | −0.979623 | − | 0.200844i | \(-0.935632\pi\) |
0.663748 | + | 0.747957i | \(0.268965\pi\) | |||||||
\(930\) | −1.66211 | − | 15.3316i | −0.0545027 | − | 0.502744i | ||||
\(931\) | −13.5215 | − | 13.5215i | −0.443149 | − | 0.443149i | ||||
\(932\) | 1.61604 | + | 6.03115i | 0.0529352 | + | 0.197557i | ||||
\(933\) | 25.0857i | 0.821267i | ||||||||
\(934\) | −14.1041 | + | 8.14301i | −0.461501 | + | 0.266447i | ||||
\(935\) | 10.9010 | + | 14.9012i | 0.356500 | + | 0.487323i | ||||
\(936\) | − | 0.113935i | − | 0.00372407i | ||||||
\(937\) | −24.4633 | − | 6.55492i | −0.799181 | − | 0.214140i | −0.163957 | − | 0.986468i | \(-0.552426\pi\) |
−0.635224 | + | 0.772328i | \(0.719092\pi\) | |||||||
\(938\) | 22.5787 | + | 13.0358i | 0.737221 | + | 0.425635i | ||||
\(939\) | 11.5344 | + | 11.5344i | 0.376411 | + | 0.376411i | ||||
\(940\) | 1.24420 | − | 0.482275i | 0.0405812 | − | 0.0157301i | ||||
\(941\) | −7.04914 | − | 12.2095i | −0.229795 | − | 0.398017i | 0.727952 | − | 0.685628i | \(-0.240472\pi\) |
−0.957747 | + | 0.287611i | \(0.907139\pi\) | |||||||
\(942\) | 15.6986 | + | 27.1908i | 0.511488 | + | 0.885923i | ||||
\(943\) | −36.2327 | + | 62.7568i | −1.17990 | + | 2.04364i | ||||
\(944\) | 1.85706 | + | 6.93064i | 0.0604421 | + | 0.225573i | ||||
\(945\) | 44.8697 | + | 19.8018i | 1.45961 | + | 0.644152i | ||||
\(946\) | 7.70460 | − | 4.44826i | 0.250498 | − | 0.144625i | ||||
\(947\) | −8.10187 | − | 14.0328i | −0.263275 | − | 0.456006i | 0.703835 | − | 0.710363i | \(-0.251469\pi\) |
−0.967110 | + | 0.254357i | \(0.918136\pi\) | |||||||
\(948\) | − | 1.68722i | − | 0.0547984i | ||||||
\(949\) | 1.42698 | − | 0.382357i | 0.0463216 | − | 0.0124118i | ||||
\(950\) | −6.95210 | − | 4.45040i | −0.225556 | − | 0.144390i | ||||
\(951\) | −39.3492 | −1.27598 | ||||||||
\(952\) | 19.3854 | + | 19.3854i | 0.628284 | + | 0.628284i | ||||
\(953\) | 48.0740 | + | 12.8814i | 1.55727 | + | 0.417269i | 0.931798 | − | 0.362978i | \(-0.118240\pi\) |
0.625471 | + | 0.780247i | \(0.284907\pi\) | |||||||
\(954\) | −1.29280 | − | 1.29280i | −0.0418558 | − | 0.0418558i | ||||
\(955\) | −26.8274 | + | 33.3514i | −0.868114 | + | 1.07923i | ||||
\(956\) | 1.12772 | − | 1.12772i | 0.0364731 | − | 0.0364731i | ||||
\(957\) | −22.2654 | − | 12.8549i | −0.719737 | − | 0.415540i | ||||
\(958\) | −29.1660 | + | 7.81500i | −0.942310 | + | 0.252491i | ||||
\(959\) | −51.7091 | − | 29.8543i | −1.66977 | − | 0.964044i | ||||
\(960\) | −26.5465 | + | 10.2899i | −0.856784 | + | 0.332106i | ||||
\(961\) | 16.2560i | 0.524388i | ||||||||
\(962\) | 1.48745 | − | 0.719858i | 0.0479572 | − | 0.0232091i | ||||
\(963\) | 1.33194 | + | 1.33194i | 0.0429211 | + | 0.0429211i | ||||
\(964\) | 1.71416 | − | 6.39733i | 0.0552093 | − | 0.206044i | ||||
\(965\) | −53.4497 | + | 5.79451i | −1.72061 | + | 0.186532i | ||||
\(966\) | 49.7438 | + | 28.7196i | 1.60048 | + | 0.924038i | ||||
\(967\) | 14.9152 | − | 25.8339i | 0.479641 | − | 0.830763i | −0.520086 | − | 0.854114i | \(-0.674100\pi\) |
0.999727 | + | 0.0233507i | \(0.00743344\pi\) | |||||||
\(968\) | − | 13.3454i | − | 0.428936i | ||||||
\(969\) | 5.25580 | + | 3.03444i | 0.168841 | + | 0.0974801i | ||||
\(970\) | −21.8372 | − | 29.8506i | −0.701149 | − | 0.958444i | ||||
\(971\) | 18.0697 | + | 31.2977i | 0.579886 | + | 1.00439i | 0.995492 | + | 0.0948468i | \(0.0302361\pi\) |
−0.415606 | + | 0.909545i | \(0.636431\pi\) | |||||||
\(972\) | 1.00778 | − | 1.00778i | 0.0323246 | − | 0.0323246i | ||||
\(973\) | −3.11476 | + | 3.11476i | −0.0998547 | + | 0.0998547i | ||||
\(974\) | 19.7643 | − | 11.4109i | 0.633290 | − | 0.365630i | ||||
\(975\) | 0.108811 | − | 2.37298i | 0.00348473 | − | 0.0759961i | ||||
\(976\) | 0.187241 | − | 0.187241i | 0.00599342 | − | 0.00599342i | ||||
\(977\) | −32.4022 | + | 18.7074i | −1.03664 | + | 0.598503i | −0.918879 | − | 0.394540i | \(-0.870904\pi\) |
−0.117758 | + | 0.993042i | \(0.537571\pi\) | |||||||
\(978\) | −4.53255 | + | 16.9157i | −0.144935 | + | 0.540904i | ||||
\(979\) | 48.1600 | + | 12.9044i | 1.53920 | + | 0.412428i | ||||
\(980\) | −25.3893 | + | 2.75246i | −0.811031 | + | 0.0879242i | ||||
\(981\) | 2.12531 | − | 0.569475i | 0.0678560 | − | 0.0181819i | ||||
\(982\) | 15.4832 | − | 8.93924i | 0.494089 | − | 0.285263i | ||||
\(983\) | 7.68681 | + | 2.05967i | 0.245171 | + | 0.0656934i | 0.379312 | − | 0.925269i | \(-0.376161\pi\) |
−0.134141 | + | 0.990962i | \(0.542827\pi\) | |||||||
\(984\) | 50.5927 | + | 13.5563i | 1.61283 | + | 0.432158i | ||||
\(985\) | −2.88014 | + | 18.5774i | −0.0917690 | + | 0.591924i | ||||
\(986\) | 2.03618 | + | 7.59913i | 0.0648452 | + | 0.242006i | ||||
\(987\) | −1.21789 | + | 4.54523i | −0.0387659 | + | 0.144676i | ||||
\(988\) | −0.300434 | − | 0.300434i | −0.00955806 | − | 0.00955806i | ||||
\(989\) | 16.5104 | 0.525001 | ||||||||
\(990\) | 0.506986 | − | 1.14880i | 0.0161131 | − | 0.0365113i | ||||
\(991\) | −21.2882 | + | 21.2882i | −0.676241 | + | 0.676241i | −0.959147 | − | 0.282907i | \(-0.908701\pi\) |
0.282907 | + | 0.959147i | \(0.408701\pi\) | |||||||
\(992\) | −18.1867 | + | 4.87310i | −0.577427 | + | 0.154721i | ||||
\(993\) | 9.85113 | 0.312616 | ||||||||
\(994\) | −38.8815 | + | 10.4183i | −1.23325 | + | 0.330447i | ||||
\(995\) | −13.1155 | + | 16.3050i | −0.415790 | + | 0.516904i | ||||
\(996\) | 5.20664 | − | 9.01817i | 0.164979 | − | 0.285752i | ||||
\(997\) | 6.81117 | + | 11.7973i | 0.215712 | + | 0.373624i | 0.953493 | − | 0.301416i | \(-0.0974594\pi\) |
−0.737781 | + | 0.675041i | \(0.764126\pi\) | |||||||
\(998\) | 2.58949 | − | 2.58949i | 0.0819689 | − | 0.0819689i | ||||
\(999\) | 29.1108 | + | 10.1233i | 0.921025 | + | 0.320286i |
(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 | 185.2.u.a.8.12 | yes | 68 | |
5.2 | odd | 4 | 185.2.p.a.82.12 | ✓ | 68 | ||
5.3 | odd | 4 | 925.2.t.b.82.6 | 68 | |||
5.4 | even | 2 | 925.2.y.b.193.6 | 68 | |||
37.14 | odd | 12 | 185.2.p.a.88.12 | yes | 68 | ||
185.14 | odd | 12 | 925.2.t.b.643.6 | 68 | |||
185.88 | even | 12 | 925.2.y.b.532.6 | 68 | |||
185.162 | even | 12 | inner | 185.2.u.a.162.12 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
185.2.p.a.82.12 | ✓ | 68 | 5.2 | odd | 4 | ||
185.2.p.a.88.12 | yes | 68 | 37.14 | odd | 12 | ||
185.2.u.a.8.12 | yes | 68 | 1.1 | even | 1 | trivial | |
185.2.u.a.162.12 | yes | 68 | 185.162 | even | 12 | inner | |
925.2.t.b.82.6 | 68 | 5.3 | odd | 4 | |||
925.2.t.b.643.6 | 68 | 185.14 | odd | 12 | |||
925.2.y.b.193.6 | 68 | 5.4 | even | 2 | |||
925.2.y.b.532.6 | 68 | 185.88 | even | 12 |