Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,3,Mod(7,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 19]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.h (of order \(22\), degree \(10\), 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: | \(3.76022764817\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 7.1 | ||
Character | \(\chi\) | \(=\) | 138.7 |
Dual form | 138.3.h.a.79.1 |
$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{19}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.926113 | + | 1.06879i | −0.463056 | + | 0.534396i | ||||
\(3\) | −1.45709 | + | 0.936417i | −0.485698 | + | 0.312139i | ||||
\(4\) | −0.284630 | − | 1.97964i | −0.0711574 | − | 0.494911i | ||||
\(5\) | 1.12201 | − | 0.512407i | 0.224403 | − | 0.102481i | −0.300041 | − | 0.953926i | \(-0.597000\pi\) |
0.524444 | + | 0.851445i | \(0.324273\pi\) | |||||||
\(6\) | 0.348599 | − | 2.42456i | 0.0580998 | − | 0.404093i | ||||
\(7\) | 2.20763 | + | 7.51851i | 0.315376 | + | 1.07407i | 0.952810 | + | 0.303568i | \(0.0981778\pi\) |
−0.637434 | + | 0.770505i | \(0.720004\pi\) | |||||||
\(8\) | 2.37942 | + | 1.52916i | 0.297428 | + | 0.191145i | ||||
\(9\) | 1.24625 | − | 2.72890i | 0.138472 | − | 0.303211i | ||||
\(10\) | −0.491456 | + | 1.67375i | −0.0491456 | + | 0.167375i | ||||
\(11\) | −15.5963 | + | 13.5143i | −1.41785 | + | 1.22857i | −0.482000 | + | 0.876171i | \(0.660089\pi\) |
−0.935849 | + | 0.352401i | \(0.885365\pi\) | |||||||
\(12\) | 2.26850 | + | 2.61799i | 0.189042 | + | 0.218166i | ||||
\(13\) | −14.5601 | − | 4.27524i | −1.12001 | − | 0.328864i | −0.331235 | − | 0.943548i | \(-0.607465\pi\) |
−0.788774 | + | 0.614684i | \(0.789284\pi\) | |||||||
\(14\) | −10.0802 | − | 4.60349i | −0.720017 | − | 0.328821i | ||||
\(15\) | −1.15505 | + | 1.79730i | −0.0770035 | + | 0.119820i | ||||
\(16\) | −3.83797 | + | 1.12693i | −0.239873 | + | 0.0704331i | ||||
\(17\) | −19.6785 | − | 2.82935i | −1.15756 | − | 0.166432i | −0.463331 | − | 0.886185i | \(-0.653346\pi\) |
−0.694230 | + | 0.719753i | \(0.744255\pi\) | |||||||
\(18\) | 1.76246 | + | 3.85924i | 0.0979143 | + | 0.214402i | ||||
\(19\) | 32.9814 | − | 4.74201i | 1.73586 | − | 0.249580i | 0.799514 | − | 0.600647i | \(-0.205090\pi\) |
0.936350 | + | 0.351067i | \(0.114181\pi\) | |||||||
\(20\) | −1.33374 | − | 2.07534i | −0.0666870 | − | 0.103767i | ||||
\(21\) | −10.2572 | − | 8.88791i | −0.488438 | − | 0.423234i | ||||
\(22\) | − | 29.1850i | − | 1.32659i | ||||||
\(23\) | −20.9466 | + | 9.49950i | −0.910721 | + | 0.413022i | ||||
\(24\) | −4.89898 | −0.204124 | ||||||||
\(25\) | −15.3752 | + | 17.7439i | −0.615007 | + | 0.709755i | ||||
\(26\) | 18.0536 | − | 11.6024i | 0.694371 | − | 0.446245i | ||||
\(27\) | 0.739490 | + | 5.14326i | 0.0273885 | + | 0.190491i | ||||
\(28\) | 14.2556 | − | 6.51032i | 0.509129 | − | 0.232511i | ||||
\(29\) | −3.31586 | + | 23.0623i | −0.114340 | + | 0.795252i | 0.849273 | + | 0.527953i | \(0.177040\pi\) |
−0.963614 | + | 0.267299i | \(0.913869\pi\) | |||||||
\(30\) | −0.851227 | − | 2.89901i | −0.0283742 | − | 0.0966337i | ||||
\(31\) | 14.5557 | + | 9.35437i | 0.469538 | + | 0.301754i | 0.753931 | − | 0.656954i | \(-0.228156\pi\) |
−0.284392 | + | 0.958708i | \(0.591792\pi\) | |||||||
\(32\) | 2.34994 | − | 5.14566i | 0.0734357 | − | 0.160802i | ||||
\(33\) | 10.0703 | − | 34.2963i | 0.305161 | − | 1.03928i | ||||
\(34\) | 21.2485 | − | 18.4120i | 0.624957 | − | 0.541528i | ||||
\(35\) | 6.32953 | + | 7.30467i | 0.180844 | + | 0.208705i | ||||
\(36\) | −5.75696 | − | 1.69040i | −0.159915 | − | 0.0469554i | ||||
\(37\) | 30.6081 | + | 13.9782i | 0.827245 | + | 0.377790i | 0.783607 | − | 0.621257i | \(-0.213378\pi\) |
0.0436385 | + | 0.999047i | \(0.486105\pi\) | |||||||
\(38\) | −25.4763 | + | 39.6419i | −0.670429 | + | 1.04321i | ||||
\(39\) | 25.2189 | − | 7.40493i | 0.646637 | − | 0.189870i | ||||
\(40\) | 3.45330 | + | 0.496510i | 0.0863325 | + | 0.0124127i | ||||
\(41\) | 25.2644 | + | 55.3213i | 0.616205 | + | 1.34930i | 0.918248 | + | 0.396006i | \(0.129604\pi\) |
−0.302043 | + | 0.953294i | \(0.597669\pi\) | |||||||
\(42\) | 18.9986 | − | 2.73159i | 0.452348 | − | 0.0650379i | ||||
\(43\) | −28.8157 | − | 44.8382i | −0.670133 | − | 1.04275i | −0.995276 | − | 0.0970831i | \(-0.969049\pi\) |
0.325143 | − | 0.945665i | \(-0.394588\pi\) | |||||||
\(44\) | 31.1927 | + | 27.0286i | 0.708924 | + | 0.614286i | ||||
\(45\) | − | 3.70044i | − | 0.0822321i | ||||||
\(46\) | 9.24592 | − | 31.1851i | 0.200998 | − | 0.677938i | ||||
\(47\) | 57.1118 | 1.21515 | 0.607573 | − | 0.794264i | \(-0.292143\pi\) | ||||
0.607573 | + | 0.794264i | \(0.292143\pi\) | |||||||
\(48\) | 4.53701 | − | 5.23599i | 0.0945210 | − | 0.109083i | ||||
\(49\) | −10.4329 | + | 6.70483i | −0.212917 | + | 0.136833i | ||||
\(50\) | −4.72537 | − | 32.8657i | −0.0945074 | − | 0.657314i | ||||
\(51\) | 31.3229 | − | 14.3047i | 0.614175 | − | 0.280484i | ||||
\(52\) | −4.31920 | + | 30.0407i | −0.0830615 | + | 0.577706i | ||||
\(53\) | −27.9070 | − | 95.0424i | −0.526547 | − | 1.79325i | −0.604869 | − | 0.796325i | \(-0.706774\pi\) |
0.0783220 | − | 0.996928i | \(-0.475044\pi\) | |||||||
\(54\) | −6.18193 | − | 3.97288i | −0.114480 | − | 0.0735719i | ||||
\(55\) | −10.5745 | + | 23.1549i | −0.192263 | + | 0.420998i | ||||
\(56\) | −6.24413 | + | 21.2656i | −0.111502 | + | 0.379742i | ||||
\(57\) | −43.6165 | + | 37.7939i | −0.765202 | + | 0.663052i | ||||
\(58\) | −21.5779 | − | 24.9023i | −0.372034 | − | 0.429350i | ||||
\(59\) | 11.8679 | + | 3.48473i | 0.201151 | + | 0.0590632i | 0.380756 | − | 0.924676i | \(-0.375664\pi\) |
−0.179605 | + | 0.983739i | \(0.557482\pi\) | |||||||
\(60\) | 3.88677 | + | 1.77503i | 0.0647795 | + | 0.0295838i | ||||
\(61\) | 22.3943 | − | 34.8462i | 0.367119 | − | 0.571249i | −0.607722 | − | 0.794150i | \(-0.707916\pi\) |
0.974841 | + | 0.222901i | \(0.0715528\pi\) | |||||||
\(62\) | −23.4781 | + | 6.89378i | −0.378679 | + | 0.111190i | ||||
\(63\) | 23.2685 | + | 3.34550i | 0.369341 | + | 0.0531032i | ||||
\(64\) | 3.32332 | + | 7.27706i | 0.0519269 | + | 0.113704i | ||||
\(65\) | −18.5273 | + | 2.66383i | −0.285036 | + | 0.0409819i | ||||
\(66\) | 27.3293 | + | 42.5253i | 0.414081 | + | 0.644322i | ||||
\(67\) | 65.1245 | + | 56.4307i | 0.972007 | + | 0.842249i | 0.987498 | − | 0.157631i | \(-0.0503857\pi\) |
−0.0154909 | + | 0.999880i | \(0.504931\pi\) | |||||||
\(68\) | 39.7618i | 0.584733i | ||||||||
\(69\) | 21.6256 | − | 33.4564i | 0.313415 | − | 0.484876i | ||||
\(70\) | −13.6690 | −0.195272 | ||||||||
\(71\) | 17.9626 | − | 20.7300i | 0.252995 | − | 0.291972i | −0.615018 | − | 0.788513i | \(-0.710851\pi\) |
0.868013 | + | 0.496541i | \(0.165397\pi\) | |||||||
\(72\) | 7.13827 | − | 4.58749i | 0.0991427 | − | 0.0637151i | ||||
\(73\) | 3.45579 | + | 24.0355i | 0.0473396 | + | 0.329254i | 0.999705 | + | 0.0242943i | \(0.00773387\pi\) |
−0.952365 | + | 0.304960i | \(0.901357\pi\) | |||||||
\(74\) | −43.2864 | + | 19.7682i | −0.584951 | + | 0.267138i | ||||
\(75\) | 5.78737 | − | 40.2521i | 0.0771650 | − | 0.536694i | ||||
\(76\) | −18.7750 | − | 63.9417i | −0.247039 | − | 0.841338i | ||||
\(77\) | −136.038 | − | 87.4266i | −1.76673 | − | 1.13541i | ||||
\(78\) | −15.4412 | + | 33.8115i | −0.197964 | + | 0.433481i | ||||
\(79\) | −15.9200 | + | 54.2184i | −0.201519 | + | 0.686309i | 0.795272 | + | 0.606253i | \(0.207328\pi\) |
−0.996790 | + | 0.0800563i | \(0.974490\pi\) | |||||||
\(80\) | −3.72881 | + | 3.23103i | −0.0466101 | + | 0.0403879i | ||||
\(81\) | −5.89375 | − | 6.80175i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | −82.5246 | − | 24.2314i | −1.00640 | − | 0.295505i | ||||
\(83\) | 30.1087 | + | 13.7502i | 0.362756 | + | 0.165665i | 0.588451 | − | 0.808533i | \(-0.299738\pi\) |
−0.225695 | + | 0.974198i | \(0.572465\pi\) | |||||||
\(84\) | −14.6754 | + | 22.8353i | −0.174707 | + | 0.271849i | ||||
\(85\) | −23.5294 | + | 6.90885i | −0.276816 | + | 0.0812806i | ||||
\(86\) | 74.6093 | + | 10.7272i | 0.867550 | + | 0.124735i | ||||
\(87\) | −16.7644 | − | 36.7090i | −0.192695 | − | 0.421943i | ||||
\(88\) | −57.7759 | + | 8.30692i | −0.656544 | + | 0.0943968i | ||||
\(89\) | −2.22338 | − | 3.45964i | −0.0249818 | − | 0.0388724i | 0.828538 | − | 0.559933i | \(-0.189173\pi\) |
−0.853520 | + | 0.521060i | \(0.825537\pi\) | |||||||
\(90\) | 3.95500 | + | 3.42703i | 0.0439445 | + | 0.0380781i | ||||
\(91\) | − | 118.909i | − | 1.30669i | ||||||
\(92\) | 24.7676 | + | 38.7629i | 0.269213 | + | 0.421336i | ||||
\(93\) | −29.9686 | −0.322243 | ||||||||
\(94\) | −52.8920 | + | 61.0406i | −0.562681 | + | 0.649369i | ||||
\(95\) | 34.5758 | − | 22.2205i | 0.363956 | − | 0.233900i | ||||
\(96\) | 1.39439 | + | 9.69823i | 0.0145249 | + | 0.101023i | ||||
\(97\) | −103.894 | + | 47.4466i | −1.07107 | + | 0.489140i | −0.871324 | − | 0.490708i | \(-0.836738\pi\) |
−0.199744 | + | 0.979848i | \(0.564011\pi\) | |||||||
\(98\) | 2.49600 | − | 17.3600i | 0.0254694 | − | 0.177143i | ||||
\(99\) | 17.4423 | + | 59.4029i | 0.176185 | + | 0.600029i | ||||
\(100\) | 39.5028 | + | 25.3869i | 0.395028 | + | 0.253869i | ||||
\(101\) | 4.62812 | − | 10.1342i | 0.0458230 | − | 0.100338i | −0.885336 | − | 0.464952i | \(-0.846072\pi\) |
0.931159 | + | 0.364614i | \(0.118799\pi\) | |||||||
\(102\) | −13.7198 | + | 46.7255i | −0.134508 | + | 0.458093i | ||||
\(103\) | −133.447 | + | 115.633i | −1.29560 | + | 1.12265i | −0.310522 | + | 0.950566i | \(0.600504\pi\) |
−0.985083 | + | 0.172081i | \(0.944951\pi\) | |||||||
\(104\) | −28.1072 | − | 32.4374i | −0.270261 | − | 0.311898i | ||||
\(105\) | −16.0629 | − | 4.71650i | −0.152980 | − | 0.0449191i | ||||
\(106\) | 127.426 | + | 58.1933i | 1.20213 | + | 0.548993i | ||||
\(107\) | −34.3937 | + | 53.5176i | −0.321436 | + | 0.500165i | −0.963941 | − | 0.266117i | \(-0.914259\pi\) |
0.642504 | + | 0.766282i | \(0.277896\pi\) | |||||||
\(108\) | 9.97134 | − | 2.92785i | 0.0923273 | − | 0.0271097i | ||||
\(109\) | 55.2506 | + | 7.94384i | 0.506886 | + | 0.0728792i | 0.391014 | − | 0.920385i | \(-0.372124\pi\) |
0.115873 | + | 0.993264i | \(0.463034\pi\) | |||||||
\(110\) | −14.9546 | − | 32.7460i | −0.135951 | − | 0.297691i | ||||
\(111\) | −57.6883 | + | 8.29433i | −0.519714 | + | 0.0747237i | ||||
\(112\) | −16.9457 | − | 26.3680i | −0.151301 | − | 0.235428i | ||||
\(113\) | 58.8089 | + | 50.9582i | 0.520433 | + | 0.450958i | 0.875035 | − | 0.484060i | \(-0.160838\pi\) |
−0.354602 | + | 0.935017i | \(0.615384\pi\) | |||||||
\(114\) | − | 81.6184i | − | 0.715951i | ||||||
\(115\) | −18.6348 | + | 21.3917i | −0.162041 | + | 0.186015i | ||||
\(116\) | 46.5990 | 0.401715 | ||||||||
\(117\) | −29.8121 | + | 34.4050i | −0.254805 | + | 0.294060i | ||||
\(118\) | −14.7154 | + | 9.45705i | −0.124707 | + | 0.0801444i | ||||
\(119\) | −22.1705 | − | 154.200i | −0.186307 | − | 1.29579i | ||||
\(120\) | −5.49672 | + | 2.51027i | −0.0458060 | + | 0.0209189i | ||||
\(121\) | 43.3892 | − | 301.779i | 0.358589 | − | 2.49404i | ||||
\(122\) | 16.5037 | + | 56.2063i | 0.135276 | + | 0.460707i | ||||
\(123\) | −88.6164 | − | 56.9503i | −0.720459 | − | 0.463011i | ||||
\(124\) | 14.3753 | − | 31.4776i | 0.115930 | − | 0.253851i | ||||
\(125\) | −16.8469 | + | 57.3751i | −0.134775 | + | 0.459001i | ||||
\(126\) | −25.1249 | + | 21.7708i | −0.199404 | + | 0.172784i | ||||
\(127\) | 52.1108 | + | 60.1391i | 0.410322 | + | 0.473536i | 0.922864 | − | 0.385125i | \(-0.125842\pi\) |
−0.512543 | + | 0.858662i | \(0.671296\pi\) | |||||||
\(128\) | −10.8554 | − | 3.18744i | −0.0848080 | − | 0.0249019i | ||||
\(129\) | 83.9745 | + | 38.3499i | 0.650965 | + | 0.297286i | ||||
\(130\) | 14.3113 | − | 22.2688i | 0.110087 | − | 0.171299i | ||||
\(131\) | 133.348 | − | 39.1544i | 1.01792 | − | 0.298888i | 0.270130 | − | 0.962824i | \(-0.412933\pi\) |
0.747790 | + | 0.663935i | \(0.231115\pi\) | |||||||
\(132\) | −70.7607 | − | 10.1739i | −0.536066 | − | 0.0770746i | ||||
\(133\) | 108.464 | + | 237.503i | 0.815517 | + | 1.78573i | ||||
\(134\) | −120.625 | + | 17.3433i | −0.900188 | + | 0.129428i | ||||
\(135\) | 3.46516 | + | 5.39189i | 0.0256678 | + | 0.0399400i | ||||
\(136\) | −42.4971 | − | 36.8239i | −0.312479 | − | 0.270764i | ||||
\(137\) | − | 47.7301i | − | 0.348395i | −0.984711 | − | 0.174197i | \(-0.944267\pi\) | ||
0.984711 | − | 0.174197i | \(-0.0557331\pi\) | |||||||
\(138\) | 15.7301 | + | 54.0977i | 0.113986 | + | 0.392012i | ||||
\(139\) | 8.63722 | 0.0621383 | 0.0310691 | − | 0.999517i | \(-0.490109\pi\) | ||||
0.0310691 | + | 0.999517i | \(0.490109\pi\) | |||||||
\(140\) | 12.6591 | − | 14.6093i | 0.0904219 | − | 0.104352i | ||||
\(141\) | −83.2173 | + | 53.4805i | −0.590194 | + | 0.379295i | ||||
\(142\) | 5.52060 | + | 38.3966i | 0.0388775 | + | 0.270399i | ||||
\(143\) | 284.861 | − | 130.092i | 1.99204 | − | 0.909733i | ||||
\(144\) | −1.70778 | + | 11.8779i | −0.0118596 | + | 0.0824851i | ||||
\(145\) | 8.09684 | + | 27.5753i | 0.0558403 | + | 0.190175i | ||||
\(146\) | −28.8894 | − | 18.5661i | −0.197873 | − | 0.127165i | ||||
\(147\) | 8.92322 | − | 19.5391i | 0.0607022 | − | 0.132919i | ||||
\(148\) | 18.9600 | − | 64.5717i | 0.128108 | − | 0.436295i | ||||
\(149\) | 18.4193 | − | 15.9604i | 0.123619 | − | 0.107117i | −0.590857 | − | 0.806776i | \(-0.701210\pi\) |
0.714477 | + | 0.699659i | \(0.246665\pi\) | |||||||
\(150\) | 37.6613 | + | 43.4635i | 0.251075 | + | 0.289756i | ||||
\(151\) | 169.673 | + | 49.8204i | 1.12366 | + | 0.329937i | 0.790213 | − | 0.612832i | \(-0.209970\pi\) |
0.333448 | + | 0.942769i | \(0.391788\pi\) | |||||||
\(152\) | 85.7281 | + | 39.1507i | 0.564001 | + | 0.257571i | ||||
\(153\) | −32.2453 | + | 50.1746i | −0.210754 | + | 0.327939i | ||||
\(154\) | 219.428 | − | 64.4298i | 1.42485 | − | 0.418375i | ||||
\(155\) | 21.1249 | + | 3.03730i | 0.136290 | + | 0.0195955i | ||||
\(156\) | −21.8371 | − | 47.8167i | −0.139982 | − | 0.306517i | ||||
\(157\) | −57.7893 | + | 8.30884i | −0.368084 | + | 0.0529226i | −0.323875 | − | 0.946100i | \(-0.604986\pi\) |
−0.0442090 | + | 0.999022i | \(0.514077\pi\) | |||||||
\(158\) | −43.2045 | − | 67.2275i | −0.273446 | − | 0.425491i | ||||
\(159\) | 129.662 | + | 112.353i | 0.815487 | + | 0.706624i | ||||
\(160\) | − | 6.97762i | − | 0.0436101i | ||||||
\(161\) | −117.664 | − | 136.516i | −0.730835 | − | 0.847924i | ||||
\(162\) | 12.7279 | 0.0785674 | ||||||||
\(163\) | −175.017 | + | 201.980i | −1.07372 | + | 1.23914i | −0.104090 | + | 0.994568i | \(0.533193\pi\) |
−0.969631 | + | 0.244572i | \(0.921352\pi\) | |||||||
\(164\) | 102.325 | − | 65.7606i | 0.623936 | − | 0.400979i | ||||
\(165\) | −6.27463 | − | 43.6410i | −0.0380280 | − | 0.264491i | ||||
\(166\) | −42.5802 | + | 19.4457i | −0.256507 | + | 0.117143i | ||||
\(167\) | −15.3613 | + | 106.840i | −0.0919836 | + | 0.639760i | 0.890717 | + | 0.454559i | \(0.150203\pi\) |
−0.982701 | + | 0.185202i | \(0.940706\pi\) | |||||||
\(168\) | −10.8152 | − | 36.8330i | −0.0643759 | − | 0.219244i | ||||
\(169\) | 51.5475 | + | 33.1275i | 0.305015 | + | 0.196021i | ||||
\(170\) | 14.4067 | − | 31.5464i | 0.0847456 | − | 0.185567i | ||||
\(171\) | 28.1625 | − | 95.9126i | 0.164693 | − | 0.560892i | ||||
\(172\) | −80.5617 | + | 69.8071i | −0.468382 | + | 0.405855i | ||||
\(173\) | −69.4698 | − | 80.1724i | −0.401559 | − | 0.463424i | 0.518572 | − | 0.855034i | \(-0.326464\pi\) |
−0.920131 | + | 0.391610i | \(0.871918\pi\) | |||||||
\(174\) | 54.7600 | + | 16.0790i | 0.314713 | + | 0.0924080i | ||||
\(175\) | −167.350 | − | 76.4263i | −0.956287 | − | 0.436722i | ||||
\(176\) | 44.6286 | − | 69.4435i | 0.253572 | − | 0.394565i | ||||
\(177\) | −20.5558 | + | 6.03572i | −0.116134 | + | 0.0341001i | ||||
\(178\) | 5.75673 | + | 0.827693i | 0.0323412 | + | 0.00464996i | ||||
\(179\) | −46.0296 | − | 100.791i | −0.257149 | − | 0.563077i | 0.736392 | − | 0.676555i | \(-0.236528\pi\) |
−0.993540 | + | 0.113478i | \(0.963801\pi\) | |||||||
\(180\) | −7.32556 | + | 1.05326i | −0.0406975 | + | 0.00585142i | ||||
\(181\) | −77.1420 | − | 120.035i | −0.426199 | − | 0.663178i | 0.560048 | − | 0.828460i | \(-0.310783\pi\) |
−0.986246 | + | 0.165282i | \(0.947146\pi\) | |||||||
\(182\) | 127.088 | + | 110.123i | 0.698288 | + | 0.605070i | ||||
\(183\) | 71.7445i | 0.392047i | ||||||||
\(184\) | −64.3671 | − | 9.42741i | −0.349821 | − | 0.0512359i | ||||
\(185\) | 41.5052 | 0.224353 | ||||||||
\(186\) | 27.7543 | − | 32.0302i | 0.149217 | − | 0.172205i | ||||
\(187\) | 345.150 | − | 221.814i | 1.84572 | − | 1.18617i | ||||
\(188\) | −16.2557 | − | 113.061i | −0.0864666 | − | 0.601389i | ||||
\(189\) | −37.0372 | + | 16.9143i | −0.195964 | + | 0.0894937i | ||||
\(190\) | −8.27200 | + | 57.5330i | −0.0435368 | + | 0.302805i | ||||
\(191\) | 31.0959 | + | 105.903i | 0.162806 | + | 0.554465i | 0.999972 | + | 0.00751639i | \(0.00239256\pi\) |
−0.837166 | + | 0.546949i | \(0.815789\pi\) | |||||||
\(192\) | −11.6568 | − | 7.49134i | −0.0607122 | − | 0.0390174i | ||||
\(193\) | 121.080 | − | 265.129i | 0.627359 | − | 1.37373i | −0.282684 | − | 0.959213i | \(-0.591225\pi\) |
0.910044 | − | 0.414513i | \(-0.136048\pi\) | |||||||
\(194\) | 45.5067 | − | 154.982i | 0.234571 | − | 0.798874i | ||||
\(195\) | 24.5016 | − | 21.2307i | 0.125649 | − | 0.108876i | ||||
\(196\) | 16.2427 | + | 18.7451i | 0.0828708 | + | 0.0956380i | ||||
\(197\) | 194.327 | + | 57.0596i | 0.986433 | + | 0.289643i | 0.734877 | − | 0.678200i | \(-0.237240\pi\) |
0.251556 | + | 0.967843i | \(0.419058\pi\) | |||||||
\(198\) | −79.6428 | − | 36.3717i | −0.402236 | − | 0.183695i | ||||
\(199\) | −149.403 | + | 232.475i | −0.750768 | + | 1.16822i | 0.230029 | + | 0.973184i | \(0.426118\pi\) |
−0.980797 | + | 0.195033i | \(0.937518\pi\) | |||||||
\(200\) | −63.7173 | + | 18.7091i | −0.318587 | + | 0.0935455i | ||||
\(201\) | −147.735 | − | 21.2411i | −0.735001 | − | 0.105677i | ||||
\(202\) | 6.54515 | + | 14.3319i | 0.0324017 | + | 0.0709499i | ||||
\(203\) | −180.714 | + | 25.9828i | −0.890219 | + | 0.127994i | ||||
\(204\) | −37.2337 | − | 57.9367i | −0.182518 | − | 0.284003i | ||||
\(205\) | 56.6940 | + | 49.1256i | 0.276556 | + | 0.239637i | ||||
\(206\) | − | 249.716i | − | 1.21221i | ||||||
\(207\) | −0.181433 | + | 68.9998i | −0.000876486 | + | 0.333332i | ||||
\(208\) | 60.6992 | 0.291823 | ||||||||
\(209\) | −450.304 | + | 519.679i | −2.15457 | + | 2.48650i | ||||
\(210\) | 19.9171 | − | 12.7999i | 0.0948431 | − | 0.0609520i | ||||
\(211\) | −19.9013 | − | 138.417i | −0.0943190 | − | 0.656003i | −0.981055 | − | 0.193728i | \(-0.937942\pi\) |
0.886736 | − | 0.462275i | \(-0.152967\pi\) | |||||||
\(212\) | −180.207 | + | 82.2977i | −0.850033 | + | 0.388197i | ||||
\(213\) | −6.76132 | + | 47.0260i | −0.0317433 | + | 0.220780i | ||||
\(214\) | −25.3467 | − | 86.3231i | −0.118443 | − | 0.403379i | ||||
\(215\) | −55.3070 | − | 35.5437i | −0.257242 | − | 0.165319i | ||||
\(216\) | −6.10533 | + | 13.3688i | −0.0282654 | + | 0.0618926i | ||||
\(217\) | −38.1973 | + | 130.088i | −0.176024 | + | 0.599484i | ||||
\(218\) | −59.6586 | + | 51.6945i | −0.273663 | + | 0.237131i | ||||
\(219\) | −27.5427 | − | 31.7860i | −0.125766 | − | 0.145141i | ||||
\(220\) | 48.8482 | + | 14.3431i | 0.222037 | + | 0.0651961i | ||||
\(221\) | 274.426 | + | 125.326i | 1.24175 | + | 0.567086i | ||||
\(222\) | 44.5610 | − | 69.3382i | 0.200725 | − | 0.312334i | ||||
\(223\) | −165.560 | + | 48.6129i | −0.742423 | + | 0.217995i | −0.631005 | − | 0.775778i | \(-0.717357\pi\) |
−0.111418 | + | 0.993774i | \(0.535539\pi\) | |||||||
\(224\) | 43.8755 | + | 6.30834i | 0.195873 | + | 0.0281622i | ||||
\(225\) | 29.2600 | + | 64.0705i | 0.130044 | + | 0.284758i | ||||
\(226\) | −108.927 | + | 15.6614i | −0.481980 | + | 0.0692982i | ||||
\(227\) | 99.0833 | + | 154.177i | 0.436490 | + | 0.679192i | 0.987909 | − | 0.155036i | \(-0.0495495\pi\) |
−0.551418 | + | 0.834229i | \(0.685913\pi\) | |||||||
\(228\) | 87.2331 | + | 75.5879i | 0.382601 | + | 0.331526i | ||||
\(229\) | 12.0670i | 0.0526945i | 0.999653 | + | 0.0263473i | \(0.00838756\pi\) | ||||
−0.999653 | + | 0.0263473i | \(0.991612\pi\) | |||||||
\(230\) | −5.60542 | − | 39.7278i | −0.0243714 | − | 0.172730i | ||||
\(231\) | 280.088 | 1.21250 | ||||||||
\(232\) | −43.1559 | + | 49.8046i | −0.186017 | + | 0.214675i | ||||
\(233\) | 11.3707 | − | 7.30748i | 0.0488011 | − | 0.0313626i | −0.516013 | − | 0.856581i | \(-0.672584\pi\) |
0.564814 | + | 0.825218i | \(0.308948\pi\) | |||||||
\(234\) | −9.16240 | − | 63.7259i | −0.0391556 | − | 0.272333i | ||||
\(235\) | 64.0803 | − | 29.2645i | 0.272682 | − | 0.124530i | ||||
\(236\) | 3.52056 | − | 24.4860i | 0.0149176 | − | 0.103754i | ||||
\(237\) | −27.5742 | − | 93.9091i | −0.116347 | − | 0.396241i | ||||
\(238\) | 185.340 | + | 119.110i | 0.778738 | + | 0.500464i | ||||
\(239\) | −24.9463 | + | 54.6247i | −0.104378 | + | 0.228555i | −0.954614 | − | 0.297846i | \(-0.903732\pi\) |
0.850236 | + | 0.526401i | \(0.176459\pi\) | |||||||
\(240\) | 2.40763 | − | 8.19964i | 0.0100318 | − | 0.0341652i | ||||
\(241\) | −176.554 | + | 152.985i | −0.732589 | + | 0.634792i | −0.939097 | − | 0.343653i | \(-0.888336\pi\) |
0.206508 | + | 0.978445i | \(0.433790\pi\) | |||||||
\(242\) | 282.355 | + | 325.855i | 1.16676 | + | 1.34651i | ||||
\(243\) | 14.9570 | + | 4.39178i | 0.0615515 | + | 0.0180732i | ||||
\(244\) | −75.3570 | − | 34.4144i | −0.308840 | − | 0.141043i | ||||
\(245\) | −8.27028 | + | 12.8688i | −0.0337562 | + | 0.0525257i | ||||
\(246\) | 142.937 | − | 41.9700i | 0.581044 | − | 0.170610i | ||||
\(247\) | −500.487 | − | 71.9591i | −2.02626 | − | 0.291332i | ||||
\(248\) | 20.3298 | + | 44.5160i | 0.0819749 | + | 0.179500i | ||||
\(249\) | −56.7472 | + | 8.15901i | −0.227900 | + | 0.0327671i | ||||
\(250\) | −45.7200 | − | 71.1416i | −0.182880 | − | 0.284567i | ||||
\(251\) | −152.678 | − | 132.297i | −0.608281 | − | 0.527078i | 0.295351 | − | 0.955389i | \(-0.404563\pi\) |
−0.903632 | + | 0.428311i | \(0.859109\pi\) | |||||||
\(252\) | − | 47.0155i | − | 0.186570i | ||||||
\(253\) | 198.311 | − | 431.236i | 0.783837 | − | 1.70449i | ||||
\(254\) | −112.537 | −0.443058 | ||||||||
\(255\) | 27.8150 | − | 32.1002i | 0.109078 | − | 0.125883i | ||||
\(256\) | 13.4601 | − | 8.65025i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | −26.5736 | − | 184.823i | −0.103399 | − | 0.719156i | −0.973898 | − | 0.226986i | \(-0.927113\pi\) |
0.870499 | − | 0.492170i | \(-0.163796\pi\) | |||||||
\(258\) | −118.758 | + | 54.2349i | −0.460302 | + | 0.210213i | ||||
\(259\) | −37.5241 | + | 260.986i | −0.144881 | + | 1.00767i | ||||
\(260\) | 10.5468 | + | 35.9193i | 0.0405648 | + | 0.138151i | ||||
\(261\) | 58.8023 | + | 37.7899i | 0.225296 | + | 0.144789i | ||||
\(262\) | −81.6470 | + | 178.782i | −0.311630 | + | 0.682374i | ||||
\(263\) | −129.689 | + | 441.679i | −0.493113 | + | 1.67939i | 0.217708 | + | 0.976014i | \(0.430142\pi\) |
−0.710820 | + | 0.703374i | \(0.751676\pi\) | |||||||
\(264\) | 76.4061 | − | 66.2063i | 0.289417 | − | 0.250781i | ||||
\(265\) | −80.0124 | − | 92.3392i | −0.301934 | − | 0.348450i | ||||
\(266\) | −354.290 | − | 104.029i | −1.33192 | − | 0.391087i | ||||
\(267\) | 6.47933 | + | 2.95901i | 0.0242672 | + | 0.0110824i | ||||
\(268\) | 93.1762 | − | 144.985i | 0.347673 | − | 0.540989i | ||||
\(269\) | 26.5004 | − | 7.78122i | 0.0985145 | − | 0.0289265i | −0.232104 | − | 0.972691i | \(-0.574561\pi\) |
0.330618 | + | 0.943765i | \(0.392743\pi\) | |||||||
\(270\) | −8.97194 | − | 1.28997i | −0.0332294 | − | 0.00477767i | ||||
\(271\) | 7.38977 | + | 16.1813i | 0.0272685 | + | 0.0597097i | 0.922776 | − | 0.385336i | \(-0.125915\pi\) |
−0.895508 | + | 0.445046i | \(0.853187\pi\) | |||||||
\(272\) | 78.7142 | − | 11.3174i | 0.289390 | − | 0.0416081i | ||||
\(273\) | 111.348 | + | 173.261i | 0.407868 | + | 0.634655i | ||||
\(274\) | 51.0135 | + | 44.2035i | 0.186181 | + | 0.161326i | ||||
\(275\) | − | 484.524i | − | 1.76191i | ||||||
\(276\) | −72.3870 | − | 33.2884i | −0.262272 | − | 0.120610i | ||||
\(277\) | 90.0526 | 0.325100 | 0.162550 | − | 0.986700i | \(-0.448028\pi\) | ||||
0.162550 | + | 0.986700i | \(0.448028\pi\) | |||||||
\(278\) | −7.99904 | + | 9.23138i | −0.0287735 | + | 0.0332064i | ||||
\(279\) | 43.6670 | − | 28.0631i | 0.156513 | − | 0.100585i | ||||
\(280\) | 3.89061 | + | 27.0598i | 0.0138950 | + | 0.0966421i | ||||
\(281\) | 51.7835 | − | 23.6487i | 0.184283 | − | 0.0841592i | −0.321137 | − | 0.947033i | \(-0.604065\pi\) |
0.505420 | + | 0.862874i | \(0.331338\pi\) | |||||||
\(282\) | 19.9091 | − | 138.471i | 0.0705997 | − | 0.491032i | ||||
\(283\) | −80.3945 | − | 273.799i | −0.284080 | − | 0.967486i | −0.970665 | − | 0.240437i | \(-0.922709\pi\) |
0.686585 | − | 0.727049i | \(-0.259109\pi\) | |||||||
\(284\) | −46.1507 | − | 29.6592i | −0.162502 | − | 0.104434i | ||||
\(285\) | −29.5725 | + | 64.7547i | −0.103763 | + | 0.227210i | ||||
\(286\) | −124.773 | + | 424.937i | −0.436268 | + | 1.48579i | ||||
\(287\) | −360.159 | + | 312.080i | −1.25491 | + | 1.08739i | ||||
\(288\) | −11.1134 | − | 12.8255i | −0.0385880 | − | 0.0445330i | ||||
\(289\) | 101.947 | + | 29.9342i | 0.352756 | + | 0.103579i | ||||
\(290\) | −36.9709 | − | 16.8840i | −0.127486 | − | 0.0582208i | ||||
\(291\) | 106.953 | − | 166.422i | 0.367536 | − | 0.571897i | ||||
\(292\) | 46.5981 | − | 13.6825i | 0.159583 | − | 0.0468577i | ||||
\(293\) | −145.057 | − | 20.8560i | −0.495074 | − | 0.0711809i | −0.109744 | − | 0.993960i | \(-0.535003\pi\) |
−0.385330 | + | 0.922779i | \(0.625912\pi\) | |||||||
\(294\) | 12.6193 | + | 27.6325i | 0.0429229 | + | 0.0939881i | ||||
\(295\) | 15.1015 | − | 2.17127i | 0.0511916 | − | 0.00736025i | ||||
\(296\) | 51.4546 | + | 80.0649i | 0.173833 | + | 0.270490i | ||||
\(297\) | −81.0409 | − | 70.2224i | −0.272865 | − | 0.236439i | ||||
\(298\) | 34.4675i | 0.115663i | ||||||||
\(299\) | 345.597 | − | 48.7622i | 1.15584 | − | 0.163084i | ||||
\(300\) | −81.3320 | −0.271107 | ||||||||
\(301\) | 273.502 | − | 315.638i | 0.908643 | − | 1.04863i | ||||
\(302\) | −210.384 | + | 135.205i | −0.696635 | + | 0.447700i | ||||
\(303\) | 2.74621 | + | 19.1003i | 0.00906339 | + | 0.0630373i | ||||
\(304\) | −121.238 | + | 55.3675i | −0.398809 | + | 0.182130i | ||||
\(305\) | 7.27128 | − | 50.5729i | 0.0238403 | − | 0.165813i | ||||
\(306\) | −23.7634 | − | 80.9309i | −0.0776583 | − | 0.264480i | ||||
\(307\) | −422.807 | − | 271.722i | −1.37722 | − | 0.885087i | −0.378051 | − | 0.925785i | \(-0.623406\pi\) |
−0.999172 | + | 0.0406977i | \(0.987042\pi\) | |||||||
\(308\) | −134.353 | + | 294.192i | −0.436210 | + | 0.955168i | ||||
\(309\) | 86.1647 | − | 293.450i | 0.278850 | − | 0.949677i | ||||
\(310\) | −22.8103 | + | 19.7652i | −0.0735816 | + | 0.0637588i | ||||
\(311\) | 351.881 | + | 406.092i | 1.13145 | + | 1.30576i | 0.946387 | + | 0.323035i | \(0.104703\pi\) |
0.185062 | + | 0.982727i | \(0.440752\pi\) | |||||||
\(312\) | 71.3297 | + | 20.9443i | 0.228621 | + | 0.0671291i | ||||
\(313\) | 323.070 | + | 147.541i | 1.03217 | + | 0.471378i | 0.858169 | − | 0.513367i | \(-0.171602\pi\) |
0.174004 | + | 0.984745i | \(0.444329\pi\) | |||||||
\(314\) | 44.6390 | − | 69.4596i | 0.142162 | − | 0.221209i | ||||
\(315\) | 27.8218 | − | 8.16922i | 0.0883232 | − | 0.0259340i | ||||
\(316\) | 111.864 | + | 16.0837i | 0.354001 | + | 0.0508977i | ||||
\(317\) | 62.4279 | + | 136.698i | 0.196933 | + | 0.431224i | 0.982176 | − | 0.187965i | \(-0.0601890\pi\) |
−0.785242 | + | 0.619188i | \(0.787462\pi\) | |||||||
\(318\) | −240.164 | + | 34.5304i | −0.755233 | + | 0.108586i | ||||
\(319\) | −259.956 | − | 404.499i | −0.814909 | − | 1.26802i | ||||
\(320\) | 7.45762 | + | 6.46207i | 0.0233051 | + | 0.0201940i | ||||
\(321\) | − | 110.187i | − | 0.343262i | ||||||
\(322\) | 254.877 | + | 0.670192i | 0.791545 | + | 0.00208134i | ||||
\(323\) | −662.443 | −2.05091 | ||||||||
\(324\) | −11.7875 | + | 13.6035i | −0.0363812 | + | 0.0419861i | ||||
\(325\) | 299.723 | − | 192.621i | 0.922226 | − | 0.592679i | ||||
\(326\) | −53.7892 | − | 374.112i | −0.164998 | − | 1.14758i | ||||
\(327\) | −87.9441 | + | 40.1627i | −0.268942 | + | 0.122822i | ||||
\(328\) | −24.4806 | + | 170.266i | −0.0746359 | + | 0.519104i | ||||
\(329\) | 126.082 | + | 429.396i | 0.383228 | + | 1.30515i | ||||
\(330\) | 52.4541 | + | 33.7102i | 0.158952 | + | 0.102152i | ||||
\(331\) | 114.927 | − | 251.655i | 0.347212 | − | 0.760288i | −0.652784 | − | 0.757544i | \(-0.726399\pi\) |
0.999996 | − | 0.00274414i | \(-0.000873488\pi\) | |||||||
\(332\) | 18.6506 | − | 63.5183i | 0.0561766 | − | 0.191320i | ||||
\(333\) | 76.2903 | − | 66.1059i | 0.229100 | − | 0.198516i | ||||
\(334\) | −99.9634 | − | 115.364i | −0.299292 | − | 0.345401i | ||||
\(335\) | 101.986 | + | 29.9458i | 0.304436 | + | 0.0893904i | ||||
\(336\) | 49.3829 | + | 22.5524i | 0.146973 | + | 0.0671202i | ||||
\(337\) | 175.912 | − | 273.724i | 0.521993 | − | 0.812237i | −0.475737 | − | 0.879588i | \(-0.657818\pi\) |
0.997729 | + | 0.0673512i | \(0.0214548\pi\) | |||||||
\(338\) | −83.1452 | + | 24.4136i | −0.245992 | + | 0.0722297i | ||||
\(339\) | −133.408 | − | 19.1812i | −0.393535 | − | 0.0565818i | ||||
\(340\) | 20.3742 | + | 44.6133i | 0.0599242 | + | 0.131216i | ||||
\(341\) | −353.433 | + | 50.8160i | −1.03646 | + | 0.149021i | ||||
\(342\) | 76.4289 | + | 118.926i | 0.223476 | + | 0.347736i | ||||
\(343\) | 216.735 | + | 187.802i | 0.631881 | + | 0.547528i | ||||
\(344\) | − | 150.753i | − | 0.438235i | ||||||
\(345\) | 7.12099 | − | 48.6197i | 0.0206406 | − | 0.140927i | ||||
\(346\) | 150.024 | 0.433597 | ||||||||
\(347\) | 347.469 | − | 401.000i | 1.00135 | − | 1.15562i | 0.0135484 | − | 0.999908i | \(-0.495687\pi\) |
0.987802 | − | 0.155712i | \(-0.0497673\pi\) | |||||||
\(348\) | −67.8991 | + | 43.6361i | −0.195112 | + | 0.125391i | ||||
\(349\) | 52.7365 | + | 366.790i | 0.151107 | + | 1.05097i | 0.914368 | + | 0.404884i | \(0.132688\pi\) |
−0.763261 | + | 0.646091i | \(0.776403\pi\) | |||||||
\(350\) | 236.669 | − | 108.083i | 0.676197 | − | 0.308809i | ||||
\(351\) | 11.2216 | − | 78.0480i | 0.0319704 | − | 0.222359i | ||||
\(352\) | 32.8895 | + | 112.011i | 0.0934359 | + | 0.318214i | ||||
\(353\) | −182.366 | − | 117.200i | −0.516618 | − | 0.332011i | 0.256215 | − | 0.966620i | \(-0.417525\pi\) |
−0.772833 | + | 0.634609i | \(0.781161\pi\) | |||||||
\(354\) | 12.5860 | − | 27.5596i | 0.0355538 | − | 0.0778520i | ||||
\(355\) | 9.53214 | − | 32.4635i | 0.0268511 | − | 0.0914465i | ||||
\(356\) | −6.21601 | + | 5.38621i | −0.0174607 | + | 0.0151298i | ||||
\(357\) | 176.700 | + | 203.922i | 0.494957 | + | 0.571211i | ||||
\(358\) | 150.353 | + | 44.1476i | 0.419980 | + | 0.123317i | ||||
\(359\) | 372.177 | + | 169.968i | 1.03670 | + | 0.473447i | 0.859720 | − | 0.510766i | \(-0.170638\pi\) |
0.176985 | + | 0.984214i | \(0.443366\pi\) | |||||||
\(360\) | 5.65858 | − | 8.80493i | 0.0157183 | − | 0.0244581i | ||||
\(361\) | 718.911 | − | 211.091i | 1.99144 | − | 0.584740i | ||||
\(362\) | 199.735 | + | 28.7175i | 0.551754 | + | 0.0793302i | ||||
\(363\) | 219.369 | + | 480.350i | 0.604321 | + | 1.32328i | ||||
\(364\) | −235.396 | + | 33.8449i | −0.646693 | + | 0.0929805i | ||||
\(365\) | 16.1934 | + | 25.1974i | 0.0443655 | + | 0.0690341i | ||||
\(366\) | −76.6799 | − | 66.4435i | −0.209508 | − | 0.181540i | ||||
\(367\) | 13.3631i | 0.0364117i | 0.999834 | + | 0.0182059i | \(0.00579543\pi\) | ||||
−0.999834 | + | 0.0182059i | \(0.994205\pi\) | |||||||
\(368\) | 69.6871 | − | 60.0642i | 0.189367 | − | 0.163218i | ||||
\(369\) | 182.452 | 0.494449 | ||||||||
\(370\) | −38.4385 | + | 44.3604i | −0.103888 | + | 0.119893i | ||||
\(371\) | 652.969 | − | 419.638i | 1.76002 | − | 1.13110i | ||||
\(372\) | 8.52995 | + | 59.3271i | 0.0229300 | + | 0.159481i | ||||
\(373\) | 110.798 | − | 50.5998i | 0.297046 | − | 0.135656i | −0.261317 | − | 0.965253i | \(-0.584157\pi\) |
0.558363 | + | 0.829597i | \(0.311430\pi\) | |||||||
\(374\) | −82.5745 | + | 574.318i | −0.220787 | + | 1.53561i | ||||
\(375\) | −29.1796 | − | 99.3767i | −0.0778123 | − | 0.265004i | ||||
\(376\) | 135.893 | + | 87.3333i | 0.361418 | + | 0.232270i | ||||
\(377\) | 146.876 | − | 321.614i | 0.389592 | − | 0.853087i | ||||
\(378\) | 16.2227 | − | 55.2495i | 0.0429173 | − | 0.146163i | ||||
\(379\) | −272.809 | + | 236.390i | −0.719812 | + | 0.623720i | −0.935741 | − | 0.352689i | \(-0.885267\pi\) |
0.215929 | + | 0.976409i | \(0.430722\pi\) | |||||||
\(380\) | −53.8300 | − | 62.1231i | −0.141658 | − | 0.163482i | ||||
\(381\) | −132.246 | − | 38.8308i | −0.347102 | − | 0.101918i | ||||
\(382\) | −141.986 | − | 64.8430i | −0.371692 | − | 0.169746i | ||||
\(383\) | 52.4983 | − | 81.6889i | 0.137071 | − | 0.213287i | −0.765931 | − | 0.642923i | \(-0.777722\pi\) |
0.903002 | + | 0.429636i | \(0.141358\pi\) | |||||||
\(384\) | 18.8021 | − | 5.52081i | 0.0489639 | − | 0.0143771i | ||||
\(385\) | −197.435 | − | 28.3869i | −0.512818 | − | 0.0737321i | ||||
\(386\) | 171.234 | + | 374.949i | 0.443610 | + | 0.971371i | ||||
\(387\) | −158.270 | + | 22.7558i | −0.408967 | + | 0.0588006i | ||||
\(388\) | 123.499 | + | 192.168i | 0.318295 | + | 0.495277i | ||||
\(389\) | −395.925 | − | 343.071i | −1.01780 | − | 0.881930i | −0.0247597 | − | 0.999693i | \(-0.507882\pi\) |
−0.993042 | + | 0.117764i | \(0.962428\pi\) | |||||||
\(390\) | 45.8491i | 0.117562i | ||||||||
\(391\) | 439.076 | − | 127.671i | 1.12296 | − | 0.326525i | ||||
\(392\) | −35.0771 | −0.0894824 | ||||||||
\(393\) | −157.635 | + | 181.921i | −0.401107 | + | 0.462902i | ||||
\(394\) | −240.954 | + | 154.852i | −0.611558 | + | 0.393025i | ||||
\(395\) | 9.91946 | + | 68.9914i | 0.0251126 | + | 0.174662i | ||||
\(396\) | 112.632 | − | 51.4373i | 0.284424 | − | 0.129892i | ||||
\(397\) | −84.0141 | + | 584.331i | −0.211623 | + | 1.47187i | 0.556117 | + | 0.831104i | \(0.312291\pi\) |
−0.767739 | + | 0.640763i | \(0.778618\pi\) | |||||||
\(398\) | −110.104 | − | 374.979i | −0.276642 | − | 0.942157i | ||||
\(399\) | −380.443 | − | 244.496i | −0.953492 | − | 0.612772i | ||||
\(400\) | 39.0133 | − | 85.4273i | 0.0975333 | − | 0.213568i | ||||
\(401\) | 40.4973 | − | 137.921i | 0.100991 | − | 0.343943i | −0.893460 | − | 0.449142i | \(-0.851730\pi\) |
0.994451 | + | 0.105199i | \(0.0335479\pi\) | |||||||
\(402\) | 159.522 | − | 138.226i | 0.396820 | − | 0.343847i | ||||
\(403\) | −171.940 | − | 198.430i | −0.426651 | − | 0.492381i | ||||
\(404\) | −21.3793 | − | 6.27754i | −0.0529192 | − | 0.0155385i | ||||
\(405\) | −10.0981 | − | 4.61166i | −0.0249336 | − | 0.0113868i | ||||
\(406\) | 139.592 | − | 217.209i | 0.343822 | − | 0.534998i | ||||
\(407\) | −666.280 | + | 195.637i | −1.63705 | + | 0.480682i | ||||
\(408\) | 96.4048 | + | 13.8609i | 0.236286 | + | 0.0339728i | ||||
\(409\) | 153.125 | + | 335.297i | 0.374389 | + | 0.819798i | 0.999237 | + | 0.0390516i | \(0.0124337\pi\) |
−0.624848 | + | 0.780746i | \(0.714839\pi\) | |||||||
\(410\) | −105.010 | + | 15.0982i | −0.256122 | + | 0.0368248i | ||||
\(411\) | 44.6953 | + | 69.5472i | 0.108748 | + | 0.169215i | ||||
\(412\) | 266.895 | + | 231.265i | 0.647802 | + | 0.561324i | ||||
\(413\) | 96.9218i | 0.234678i | ||||||||
\(414\) | −73.5783 | − | 64.0955i | −0.177725 | − | 0.154820i | ||||
\(415\) | 40.8281 | 0.0983810 | ||||||||
\(416\) | −56.2143 | + | 64.8748i | −0.135131 | + | 0.155949i | ||||
\(417\) | −12.5852 | + | 8.08804i | −0.0301804 | + | 0.0193958i | ||||
\(418\) | −138.396 | − | 962.563i | −0.331090 | − | 2.30278i | ||||
\(419\) | −113.425 | + | 51.7994i | −0.270704 | + | 0.123626i | −0.546142 | − | 0.837692i | \(-0.683904\pi\) |
0.275439 | + | 0.961319i | \(0.411177\pi\) | |||||||
\(420\) | −4.76500 | + | 33.1413i | −0.0113452 | + | 0.0789079i | ||||
\(421\) | 99.4373 | + | 338.652i | 0.236193 | + | 0.804400i | 0.989223 | + | 0.146414i | \(0.0467732\pi\) |
−0.753030 | + | 0.657986i | \(0.771409\pi\) | |||||||
\(422\) | 166.369 | + | 106.919i | 0.394240 | + | 0.253363i | ||||
\(423\) | 71.1754 | − | 155.852i | 0.168263 | − | 0.368445i | ||||
\(424\) | 78.9328 | − | 268.821i | 0.186162 | − | 0.634011i | ||||
\(425\) | 352.765 | − | 305.672i | 0.830034 | − | 0.719229i | ||||
\(426\) | −43.9993 | − | 50.7779i | −0.103285 | − | 0.119197i | ||||
\(427\) | 311.430 | + | 91.4440i | 0.729343 | + | 0.214155i | ||||
\(428\) | 115.735 | + | 52.8545i | 0.270410 | + | 0.123492i | ||||
\(429\) | −293.249 | + | 456.305i | −0.683565 | + | 1.06365i | ||||
\(430\) | 89.2093 | − | 26.1942i | 0.207464 | − | 0.0609168i | ||||
\(431\) | −466.648 | − | 67.0938i | −1.08271 | − | 0.155670i | −0.422211 | − | 0.906498i | \(-0.638746\pi\) |
−0.660498 | + | 0.750827i | \(0.729655\pi\) | |||||||
\(432\) | −8.63424 | − | 18.9063i | −0.0199867 | − | 0.0437647i | ||||
\(433\) | 100.245 | − | 14.4130i | 0.231512 | − | 0.0332865i | −0.0255821 | − | 0.999673i | \(-0.508144\pi\) |
0.257094 | + | 0.966386i | \(0.417235\pi\) | |||||||
\(434\) | −103.662 | − | 161.301i | −0.238852 | − | 0.371662i | ||||
\(435\) | −37.6199 | − | 32.5978i | −0.0864825 | − | 0.0749375i | ||||
\(436\) | − | 111.638i | − | 0.256049i | ||||||
\(437\) | −645.802 | + | 412.636i | −1.47781 | + | 0.944247i | ||||
\(438\) | 59.4802 | 0.135800 | ||||||||
\(439\) | −307.971 | + | 355.418i | −0.701529 | + | 0.809608i | −0.988958 | − | 0.148194i | \(-0.952654\pi\) |
0.287429 | + | 0.957802i | \(0.407199\pi\) | |||||||
\(440\) | −60.5688 | + | 38.9252i | −0.137656 | + | 0.0884664i | ||||
\(441\) | 5.29481 | + | 36.8262i | 0.0120064 | + | 0.0835061i | ||||
\(442\) | −388.097 | + | 177.238i | −0.878047 | + | 0.400991i | ||||
\(443\) | 77.7339 | − | 540.651i | 0.175472 | − | 1.22043i | −0.691612 | − | 0.722269i | \(-0.743099\pi\) |
0.867084 | − | 0.498163i | \(-0.165992\pi\) | |||||||
\(444\) | 32.8396 | + | 111.841i | 0.0739631 | + | 0.251895i | ||||
\(445\) | −4.26740 | − | 2.74249i | −0.00958967 | − | 0.00616290i | ||||
\(446\) | 101.371 | − | 221.971i | 0.227288 | − | 0.497692i | ||||
\(447\) | −11.8930 | + | 40.5040i | −0.0266064 | + | 0.0906129i | ||||
\(448\) | −47.3759 | + | 41.0515i | −0.105750 | + | 0.0916328i | ||||
\(449\) | 232.374 | + | 268.173i | 0.517536 | + | 0.597268i | 0.953012 | − | 0.302932i | \(-0.0979655\pi\) |
−0.435476 | + | 0.900200i | \(0.643420\pi\) | |||||||
\(450\) | −95.5760 | − | 28.0636i | −0.212391 | − | 0.0623637i | ||||
\(451\) | −1141.66 | − | 521.379i | −2.53140 | − | 1.15605i | ||||
\(452\) | 84.1403 | − | 130.925i | 0.186151 | − | 0.289657i | ||||
\(453\) | −293.882 | + | 86.2915i | −0.648746 | + | 0.190489i | ||||
\(454\) | −256.545 | − | 36.8856i | −0.565077 | − | 0.0812458i | ||||
\(455\) | −60.9295 | − | 133.417i | −0.133911 | − | 0.293224i | ||||
\(456\) | −161.575 | + | 23.2310i | −0.354332 | + | 0.0509452i | ||||
\(457\) | −96.9901 | − | 150.920i | −0.212232 | − | 0.330240i | 0.718774 | − | 0.695244i | \(-0.244704\pi\) |
−0.931006 | + | 0.365005i | \(0.881067\pi\) | |||||||
\(458\) | −12.8972 | − | 11.1754i | −0.0281597 | − | 0.0244005i | ||||
\(459\) | − | 103.304i | − | 0.225064i | ||||||
\(460\) | 47.6520 | + | 30.8014i | 0.103591 | + | 0.0669596i | ||||
\(461\) | 684.915 | 1.48572 | 0.742858 | − | 0.669449i | \(-0.233470\pi\) | ||||
0.742858 | + | 0.669449i | \(0.233470\pi\) | |||||||
\(462\) | −259.394 | + | 299.356i | −0.561458 | + | 0.647957i | ||||
\(463\) | −733.980 | + | 471.700i | −1.58527 | + | 1.01879i | −0.611502 | + | 0.791243i | \(0.709434\pi\) |
−0.973767 | + | 0.227548i | \(0.926929\pi\) | |||||||
\(464\) | −13.2634 | − | 92.2493i | −0.0285850 | − | 0.198813i | ||||
\(465\) | −33.6252 | + | 15.3561i | −0.0723122 | + | 0.0330239i | ||||
\(466\) | −2.72035 | + | 18.9204i | −0.00583765 | + | 0.0406018i | ||||
\(467\) | 54.9895 | + | 187.277i | 0.117751 | + | 0.401022i | 0.997183 | − | 0.0750012i | \(-0.0238961\pi\) |
−0.879433 | + | 0.476023i | \(0.842078\pi\) | |||||||
\(468\) | 76.5951 | + | 49.2247i | 0.163665 | + | 0.105181i | ||||
\(469\) | −280.504 | + | 614.217i | −0.598089 | + | 1.30963i | ||||
\(470\) | −28.0680 | + | 95.5907i | −0.0597191 | + | 0.203384i | ||||
\(471\) | 76.4238 | − | 66.2216i | 0.162259 | − | 0.140598i | ||||
\(472\) | 22.9100 | + | 26.4396i | 0.0485382 | + | 0.0560161i | ||||
\(473\) | 1055.38 | + | 309.886i | 2.23124 | + | 0.655151i | ||||
\(474\) | 125.906 | + | 57.4994i | 0.265625 | + | 0.121307i | ||||
\(475\) | −422.953 | + | 658.128i | −0.890427 | + | 1.38553i | ||||
\(476\) | −298.950 | + | 87.7795i | −0.628045 | + | 0.184411i | ||||
\(477\) | −294.140 | − | 42.2909i | −0.616645 | − | 0.0886602i | ||||
\(478\) | −35.2793 | − | 77.2510i | −0.0738061 | − | 0.161613i | ||||
\(479\) | −65.5621 | + | 9.42640i | −0.136873 | + | 0.0196793i | −0.210411 | − | 0.977613i | \(-0.567480\pi\) |
0.0735379 | + | 0.997292i | \(0.476571\pi\) | |||||||
\(480\) | 6.53397 | + | 10.1671i | 0.0136124 | + | 0.0211814i | ||||
\(481\) | −385.897 | − | 334.382i | −0.802280 | − | 0.695180i | ||||
\(482\) | − | 330.381i | − | 0.685437i | ||||||
\(483\) | 299.284 | + | 88.7331i | 0.619635 | + | 0.183712i | ||||
\(484\) | −609.764 | −1.25984 | ||||||||
\(485\) | −92.2581 | + | 106.472i | −0.190223 | + | 0.219529i | ||||
\(486\) | −18.5458 | + | 11.9186i | −0.0381600 | + | 0.0245240i | ||||
\(487\) | 13.2837 | + | 92.3900i | 0.0272766 | + | 0.189713i | 0.998904 | − | 0.0468035i | \(-0.0149035\pi\) |
−0.971628 | + | 0.236516i | \(0.923994\pi\) | |||||||
\(488\) | 106.571 | − | 48.6693i | 0.218383 | − | 0.0997322i | ||||
\(489\) | 65.8781 | − | 458.192i | 0.134720 | − | 0.936998i | ||||
\(490\) | −6.09486 | − | 20.7572i | −0.0124385 | − | 0.0423616i | ||||
\(491\) | −424.738 | − | 272.963i | −0.865048 | − | 0.555932i | 0.0311866 | − | 0.999514i | \(-0.490071\pi\) |
−0.896234 | + | 0.443581i | \(0.853708\pi\) | |||||||
\(492\) | −87.5184 | + | 191.639i | −0.177883 | + | 0.389509i | ||||
\(493\) | 130.503 | − | 444.451i | 0.264711 | − | 0.901524i | ||||
\(494\) | 540.416 | − | 468.273i | 1.09396 | − | 0.947922i | ||||
\(495\) | 50.0089 | + | 57.7134i | 0.101028 | + | 0.116593i | ||||
\(496\) | −66.4060 | − | 19.4986i | −0.133883 | − | 0.0393116i | ||||
\(497\) | 195.513 | + | 89.2880i | 0.393387 | + | 0.179654i | ||||
\(498\) | 43.8340 | − | 68.2071i | 0.0880201 | − | 0.136962i | ||||
\(499\) | 346.544 | − | 101.755i | 0.694477 | − | 0.203917i | 0.0846024 | − | 0.996415i | \(-0.473038\pi\) |
0.609875 | + | 0.792498i | \(0.291220\pi\) | |||||||
\(500\) | 118.377 | + | 17.0201i | 0.236755 | + | 0.0340402i | ||||
\(501\) | −77.6640 | − | 170.060i | −0.155018 | − | 0.339442i | ||||
\(502\) | 282.795 | − | 40.6598i | 0.563336 | − | 0.0809956i | ||||
\(503\) | −163.983 | − | 255.162i | −0.326009 | − | 0.507280i | 0.639101 | − | 0.769122i | \(-0.279306\pi\) |
−0.965111 | + | 0.261842i | \(0.915670\pi\) | |||||||
\(504\) | 50.2498 | + | 43.5417i | 0.0997019 | + | 0.0863922i | ||||
\(505\) | − | 13.7422i | − | 0.0272122i | ||||||
\(506\) | 277.243 | + | 611.326i | 0.547911 | + | 1.20815i | ||||
\(507\) | −106.131 | −0.209331 | ||||||||
\(508\) | 104.222 | − | 120.278i | 0.205161 | − | 0.236768i | ||||
\(509\) | 308.141 | − | 198.030i | 0.605385 | − | 0.389058i | −0.201739 | − | 0.979439i | \(-0.564659\pi\) |
0.807124 | + | 0.590382i | \(0.201023\pi\) | |||||||
\(510\) | 8.54859 | + | 59.4568i | 0.0167619 | + | 0.116582i | ||||
\(511\) | −173.082 | + | 79.0440i | −0.338713 | + | 0.154685i | ||||
\(512\) | −3.22022 | + | 22.3971i | −0.00628949 | + | 0.0437443i | ||||
\(513\) | 48.7788 | + | 166.125i | 0.0950855 | + | 0.323831i | ||||
\(514\) | 222.148 | + | 142.766i | 0.432194 | + | 0.277754i | ||||
\(515\) | −90.4787 | + | 198.121i | −0.175687 | + | 0.384701i | ||||
\(516\) | 52.0174 | − | 177.155i | 0.100809 | − | 0.343324i | ||||
\(517\) | −890.735 | + | 771.827i | −1.72289 | + | 1.49289i | ||||
\(518\) | −244.188 | − | 281.808i | −0.471405 | − | 0.544031i | ||||
\(519\) | 176.299 | + | 51.7660i | 0.339689 | + | 0.0997418i | ||||
\(520\) | −48.1578 | − | 21.9929i | −0.0926111 | − | 0.0422941i | ||||
\(521\) | −354.276 | + | 551.264i | −0.679992 | + | 1.05809i | 0.314083 | + | 0.949395i | \(0.398303\pi\) |
−0.994075 | + | 0.108693i | \(0.965333\pi\) | |||||||
\(522\) | −94.8471 | + | 27.8496i | −0.181699 | + | 0.0533518i | ||||
\(523\) | 755.135 | + | 108.572i | 1.44385 | + | 0.207595i | 0.819290 | − | 0.573380i | \(-0.194368\pi\) |
0.624563 | + | 0.780975i | \(0.285277\pi\) | |||||||
\(524\) | −115.466 | − | 252.836i | −0.220356 | − | 0.482511i | ||||
\(525\) | 315.412 | − | 45.3494i | 0.600785 | − | 0.0863798i | ||||
\(526\) | −351.956 | − | 547.655i | −0.669118 | − | 1.04117i | ||||
\(527\) | −259.968 | − | 225.263i | −0.493298 | − | 0.427445i | ||||
\(528\) | 142.977i | 0.270789i | ||||||||
\(529\) | 348.519 | − | 397.964i | 0.658826 | − | 0.752295i | ||||
\(530\) | 172.792 | 0.326022 | ||||||||
\(531\) | 24.2998 | − | 28.0434i | 0.0457622 | − | 0.0528124i | ||||
\(532\) | 439.298 | − | 282.320i | 0.825748 | − | 0.530676i | ||||
\(533\) | −131.341 | − | 913.496i | −0.246418 | − | 1.71388i | ||||
\(534\) | −9.16316 | + | 4.18468i | −0.0171595 | + | 0.00783647i | ||||
\(535\) | −11.1674 | + | 77.6711i | −0.0208737 | + | 0.145180i | ||||
\(536\) | 68.6670 | + | 233.858i | 0.128110 | + | 0.436303i | ||||
\(537\) | 161.452 | + | 103.759i | 0.300655 | + | 0.193219i | ||||
\(538\) | −16.2259 | + | 35.5297i | −0.0301596 | + | 0.0660403i | ||||
\(539\) | 72.1042 | − | 245.564i | 0.133774 | − | 0.455592i | ||||
\(540\) | 9.68774 | − | 8.39447i | 0.0179403 | − | 0.0155453i | ||||
\(541\) | −227.356 | − | 262.383i | −0.420252 | − | 0.484997i | 0.505662 | − | 0.862732i | \(-0.331248\pi\) |
−0.925914 | + | 0.377735i | \(0.876703\pi\) | |||||||
\(542\) | −24.1382 | − | 7.08762i | −0.0445355 | − | 0.0130768i | ||||
\(543\) | 224.806 | + | 102.666i | 0.414008 | + | 0.189071i | ||||
\(544\) | −60.8023 | + | 94.6102i | −0.111769 | + | 0.173916i | ||||
\(545\) | 66.0624 | − | 19.3977i | 0.121215 | − | 0.0355921i | ||||
\(546\) | −288.301 | − | 41.4514i | −0.528023 | − | 0.0759182i | ||||
\(547\) | 116.653 | + | 255.435i | 0.213260 | + | 0.466975i | 0.985785 | − | 0.168009i | \(-0.0537339\pi\) |
−0.772525 | + | 0.634984i | \(0.781007\pi\) | |||||||
\(548\) | −94.4885 | + | 13.5854i | −0.172424 | + | 0.0247909i | ||||
\(549\) | −67.1828 | − | 104.539i | −0.122373 | − | 0.190416i | ||||
\(550\) | 517.855 | + | 448.724i | 0.941555 | + | 0.815862i | ||||
\(551\) | 776.352i | 1.40899i | ||||||||
\(552\) | 102.617 | − | 46.5379i | 0.185900 | − | 0.0843077i | ||||
\(553\) | −442.787 | −0.800700 | ||||||||
\(554\) | −83.3989 | + | 96.2475i | −0.150540 | + | 0.173732i | ||||
\(555\) | −60.4770 | + | 38.8662i | −0.108968 | + | 0.0700292i | ||||
\(556\) | −2.45841 | − | 17.0986i | −0.00442160 | − | 0.0307529i | ||||
\(557\) | 586.949 | − | 268.051i | 1.05377 | − | 0.481240i | 0.188252 | − | 0.982121i | \(-0.439718\pi\) |
0.865516 | + | 0.500881i | \(0.166990\pi\) | |||||||
\(558\) | −10.4470 | + | 72.6606i | −0.0187222 | + | 0.130216i | ||||
\(559\) | 227.867 | + | 776.043i | 0.407633 | + | 1.38827i | ||||
\(560\) | −32.5244 | − | 20.9022i | −0.0580793 | − | 0.0373253i | ||||
\(561\) | −295.205 | + | 646.409i | −0.526212 | + | 1.15224i | ||||
\(562\) | −22.6818 | + | 77.2471i | −0.0403591 | + | 0.137450i | ||||
\(563\) | 535.566 | − | 464.071i | 0.951273 | − | 0.824282i | −0.0332667 | − | 0.999447i | \(-0.510591\pi\) |
0.984539 | + | 0.175164i | \(0.0560456\pi\) | |||||||
\(564\) | 129.558 | + | 149.518i | 0.229714 | + | 0.265104i | ||||
\(565\) | 92.0958 | + | 27.0418i | 0.163001 | + | 0.0478615i | ||||
\(566\) | 367.088 | + | 167.643i | 0.648565 | + | 0.296190i | ||||
\(567\) | 38.1278 | − | 59.3280i | 0.0672447 | − | 0.104635i | ||||
\(568\) | 74.4402 | − | 21.8576i | 0.131057 | − | 0.0384817i | ||||
\(569\) | −223.499 | − | 32.1344i | −0.392793 | − | 0.0564751i | −0.0569113 | − | 0.998379i | \(-0.518125\pi\) |
−0.335882 | + | 0.941904i | \(0.609034\pi\) | |||||||
\(570\) | −41.8218 | − | 91.5770i | −0.0733716 | − | 0.160661i | ||||
\(571\) | −237.085 | + | 34.0876i | −0.415210 | + | 0.0596982i | −0.346754 | − | 0.937956i | \(-0.612716\pi\) |
−0.0684555 | + | 0.997654i | \(0.521807\pi\) | |||||||
\(572\) | −338.615 | − | 526.896i | −0.591985 | − | 0.921146i | ||||
\(573\) | −144.479 | − | 125.192i | −0.252145 | − | 0.218485i | ||||
\(574\) | − | 673.956i | − | 1.17414i | ||||||
\(575\) | 153.499 | − | 517.730i | 0.266955 | − | 0.900400i | ||||
\(576\) | 24.0000 | 0.0416667 | ||||||||
\(577\) | 462.034 | − | 533.215i | 0.800751 | − | 0.924116i | −0.197671 | − | 0.980268i | \(-0.563338\pi\) |
0.998422 | + | 0.0561520i | \(0.0178832\pi\) | |||||||
\(578\) | −126.407 | + | 81.2371i | −0.218698 | + | 0.140549i | ||||
\(579\) | 71.8460 | + | 499.700i | 0.124086 | + | 0.863039i | ||||
\(580\) | 52.2847 | − | 23.8776i | 0.0901460 | − | 0.0411683i | ||||
\(581\) | −36.9119 | + | 256.728i | −0.0635318 | + | 0.441873i | ||||
\(582\) | 78.8199 | + | 268.436i | 0.135429 | + | 0.461230i | ||||
\(583\) | 1719.68 | + | 1105.17i | 2.94971 | + | 1.89566i | ||||
\(584\) | −28.5315 | + | 62.4752i | −0.0488552 | + | 0.106978i | ||||
\(585\) | −15.8203 | + | 53.8789i | −0.0270432 | + | 0.0921007i | ||||
\(586\) | 156.629 | − | 135.720i | 0.267286 | − | 0.231604i | ||||
\(587\) | 490.172 | + | 565.689i | 0.835047 | + | 0.963695i | 0.999743 | − | 0.0226490i | \(-0.00721002\pi\) |
−0.164697 | + | 0.986344i | \(0.552665\pi\) | |||||||
\(588\) | −41.2203 | − | 12.1034i | −0.0701026 | − | 0.0205840i | ||||
\(589\) | 524.426 | + | 239.497i | 0.890366 | + | 0.406617i | ||||
\(590\) | −11.6651 | + | 18.1512i | −0.0197713 | + | 0.0307648i | ||||
\(591\) | −336.585 | + | 98.8302i | −0.569517 | + | 0.167225i | ||||
\(592\) | −133.225 | − | 19.1549i | −0.225043 | − | 0.0323563i | ||||
\(593\) | −124.897 | − | 273.487i | −0.210619 | − | 0.461192i | 0.774608 | − | 0.632441i | \(-0.217947\pi\) |
−0.985228 | + | 0.171249i | \(0.945220\pi\) | |||||||
\(594\) | 150.106 | − | 21.5820i | 0.252704 | − | 0.0363333i | ||||
\(595\) | −103.889 | − | 161.654i | −0.174603 | − | 0.271687i | ||||
\(596\) | −36.8386 | − | 31.9208i | −0.0618097 | − | 0.0535584i | ||||
\(597\) | − | 478.642i | − | 0.801745i | ||||||
\(598\) | −267.946 | + | 414.531i | −0.448069 | + | 0.693195i | ||||
\(599\) | 934.470 | 1.56005 | 0.780025 | − | 0.625749i | \(-0.215206\pi\) | ||||
0.780025 | + | 0.625749i | \(0.215206\pi\) | |||||||
\(600\) | 75.3226 | − | 86.9269i | 0.125538 | − | 0.144878i | ||||
\(601\) | −379.062 | + | 243.608i | −0.630718 | + | 0.405338i | −0.816575 | − | 0.577239i | \(-0.804130\pi\) |
0.185857 | + | 0.982577i | \(0.440494\pi\) | |||||||
\(602\) | 84.0574 | + | 584.632i | 0.139630 | + | 0.971150i | ||||
\(603\) | 235.155 | − | 107.391i | 0.389974 | − | 0.178095i | ||||
\(604\) | 50.3327 | − | 350.072i | 0.0833323 | − | 0.579589i | ||||
\(605\) | −105.950 | − | 360.833i | −0.175124 | − | 0.596418i | ||||
\(606\) | −22.9575 | − | 14.7539i | −0.0378837 | − | 0.0243464i | ||||
\(607\) | 279.578 | − | 612.191i | 0.460590 | − | 1.00855i | −0.526762 | − | 0.850013i | \(-0.676594\pi\) |
0.987353 | − | 0.158539i | \(-0.0506785\pi\) | |||||||
\(608\) | 53.1037 | − | 180.855i | 0.0873416 | − | 0.297458i | ||||
\(609\) | 238.987 | − | 207.084i | 0.392426 | − | 0.340039i | ||||
\(610\) | 47.3178 | + | 54.6077i | 0.0775702 | + | 0.0895208i | ||||
\(611\) | −831.555 | − | 244.167i | −1.36097 | − | 0.399618i | ||||
\(612\) | 108.506 | + | 49.5530i | 0.177297 | + | 0.0809689i | ||||
\(613\) | −363.009 | + | 564.853i | −0.592184 | + | 0.921457i | 0.407781 | + | 0.913080i | \(0.366303\pi\) |
−0.999965 | + | 0.00837691i | \(0.997334\pi\) | |||||||
\(614\) | 681.981 | − | 200.248i | 1.11072 | − | 0.326136i | ||||
\(615\) | −128.611 | − | 18.4914i | −0.209123 | − | 0.0300673i | ||||
\(616\) | −190.004 | − | 416.050i | −0.308447 | − | 0.675405i | ||||
\(617\) | −264.243 | + | 37.9924i | −0.428270 | + | 0.0615760i | −0.353080 | − | 0.935593i | \(-0.614866\pi\) |
−0.0751905 | + | 0.997169i | \(0.523956\pi\) | |||||||
\(618\) | 233.839 | + | 363.860i | 0.378380 | + | 0.588770i | ||||
\(619\) | −712.241 | − | 617.160i | −1.15063 | − | 0.997027i | −0.999964 | − | 0.00844273i | \(-0.997313\pi\) |
−0.150667 | − | 0.988585i | \(-0.548142\pi\) | |||||||
\(620\) | − | 42.6843i | − | 0.0688456i | ||||||
\(621\) | −64.3482 | − | 100.709i | −0.103620 | − | 0.162172i | ||||
\(622\) | −759.909 | −1.22172 | ||||||||
\(623\) | 21.1029 | − | 24.3541i | 0.0338731 | − | 0.0390916i | ||||
\(624\) | −88.4444 | + | 56.8398i | −0.141738 | + | 0.0910894i | ||||
\(625\) | −73.0366 | − | 507.981i | −0.116859 | − | 0.812769i | ||||
\(626\) | −456.890 | + | 208.655i | −0.729857 | + | 0.333314i | ||||
\(627\) | 169.499 | − | 1178.89i | 0.270334 | − | 1.88021i | ||||
\(628\) | 32.8971 | + | 112.037i | 0.0523839 | + | 0.178403i | ||||
\(629\) | −562.773 | − | 361.672i | −0.894711 | − | 0.574996i | ||||
\(630\) | −17.0350 | + | 37.3013i | −0.0270396 | + | 0.0592085i | ||||
\(631\) | −27.1714 | + | 92.5373i | −0.0430608 | + | 0.146652i | −0.978217 | − | 0.207583i | \(-0.933440\pi\) |
0.935157 | + | 0.354235i | \(0.115259\pi\) | |||||||
\(632\) | −120.789 | + | 104.664i | −0.191122 | + | 0.165608i | ||||
\(633\) | 158.614 | + | 183.050i | 0.250575 | + | 0.289179i | ||||
\(634\) | −203.917 | − | 59.8754i | −0.321635 | − | 0.0944407i | ||||
\(635\) | 89.2848 | + | 40.7750i | 0.140606 | + | 0.0642126i | ||||
\(636\) | 185.513 | − | 288.664i | 0.291688 | − | 0.453875i | ||||
\(637\) | 180.569 | − | 53.0199i | 0.283468 | − | 0.0832338i | ||||
\(638\) | 673.074 | + | 96.7734i | 1.05497 | + | 0.151682i | ||||
\(639\) | −34.1841 | − | 74.8528i | −0.0534963 | − | 0.117140i | ||||
\(640\) | −13.8132 | + | 1.98604i | −0.0215831 | + | 0.00310319i | ||||
\(641\) | −341.328 | − | 531.116i | −0.532492 | − | 0.828574i | 0.465924 | − | 0.884825i | \(-0.345722\pi\) |
−0.998417 | + | 0.0562502i | \(0.982086\pi\) | |||||||
\(642\) | 117.767 | + | 102.046i | 0.183438 | + | 0.158950i | ||||
\(643\) | 657.200i | 1.02208i | 0.859556 | + | 0.511042i | \(0.170740\pi\) | ||||
−0.859556 | + | 0.511042i | \(0.829260\pi\) | |||||||
\(644\) | −236.762 | + | 271.790i | −0.367642 | + | 0.422034i | ||||
\(645\) | 113.871 | 0.176545 | ||||||||
\(646\) | 613.497 | − | 708.014i | 0.949686 | − | 1.09600i | ||||
\(647\) | 236.547 | − | 152.020i | 0.365607 | − | 0.234961i | −0.344919 | − | 0.938632i | \(-0.612094\pi\) |
0.710526 | + | 0.703671i | \(0.248457\pi\) | |||||||
\(648\) | −3.62274 | − | 25.1967i | −0.00559065 | − | 0.0388839i | ||||
\(649\) | −232.189 | + | 106.037i | −0.357765 | + | 0.163386i | ||||
\(650\) | −71.7066 | + | 498.730i | −0.110318 | + | 0.767277i | ||||
\(651\) | −66.1597 | − | 225.319i | −0.101628 | − | 0.346112i | ||||
\(652\) | 449.663 | + | 288.981i | 0.689667 | + | 0.443222i | ||||
\(653\) | −195.591 | + | 428.285i | −0.299527 | + | 0.655872i | −0.998226 | − | 0.0595436i | \(-0.981035\pi\) |
0.698699 | + | 0.715416i | \(0.253763\pi\) | |||||||
\(654\) | 38.5206 | − | 131.189i | 0.0589000 | − | 0.200595i | ||||
\(655\) | 129.555 | − | 112.260i | 0.197794 | − | 0.171389i | ||||
\(656\) | −159.307 | − | 183.850i | −0.242846 | − | 0.280260i | ||||
\(657\) | 69.8972 | + | 20.5237i | 0.106388 | + | 0.0312385i | ||||
\(658\) | −575.701 | − | 262.914i | −0.874925 | − | 0.399565i | ||||
\(659\) | 478.963 | − | 745.282i | 0.726803 | − | 1.13093i | −0.259461 | − | 0.965754i | \(-0.583545\pi\) |
0.986264 | − | 0.165175i | \(-0.0528188\pi\) | |||||||
\(660\) | −84.6076 | + | 24.8430i | −0.128193 | + | 0.0376410i | ||||
\(661\) | 1097.64 | + | 157.817i | 1.66058 | + | 0.238755i | 0.907765 | − | 0.419479i | \(-0.137787\pi\) |
0.752813 | + | 0.658234i | \(0.228696\pi\) | |||||||
\(662\) | 162.531 | + | 355.894i | 0.245516 | + | 0.537605i | ||||
\(663\) | −517.222 | + | 74.3652i | −0.780123 | + | 0.112165i | ||||
\(664\) | 50.6152 | + | 78.7587i | 0.0762277 | + | 0.118613i | ||||
\(665\) | 243.396 | + | 210.904i | 0.366009 | + | 0.317148i | ||||
\(666\) | 142.760i | 0.214354i | ||||||||
\(667\) | −149.625 | − | 514.576i | −0.224325 | − | 0.771478i | ||||
\(668\) | 215.877 | 0.323170 | ||||||||
\(669\) | 195.715 | − | 225.867i | 0.292549 | − | 0.337619i | ||||
\(670\) | −126.456 | + | 81.2686i | −0.188741 | + | 0.121296i | ||||
\(671\) | 121.653 | + | 846.115i | 0.181301 | + | 1.26098i | ||||
\(672\) | −69.8379 | + | 31.8939i | −0.103925 | + | 0.0474612i | ||||
\(673\) | 1.01670 | − | 7.07130i | 0.00151070 | − | 0.0105071i | −0.989052 | − | 0.147566i | \(-0.952856\pi\) |
0.990563 | + | 0.137059i | \(0.0437651\pi\) | |||||||
\(674\) | 129.640 | + | 441.512i | 0.192344 | + | 0.655062i | ||||
\(675\) | −102.631 | − | 65.9571i | −0.152046 | − | 0.0977142i | ||||
\(676\) | 50.9088 | − | 111.475i | 0.0753088 | − | 0.164903i | ||||
\(677\) | −17.8802 | + | 60.8945i | −0.0264110 | + | 0.0899476i | −0.971644 | − | 0.236449i | \(-0.924016\pi\) |
0.945233 | + | 0.326397i | \(0.105835\pi\) | |||||||
\(678\) | 144.052 | − | 124.822i | 0.212466 | − | 0.184103i | ||||
\(679\) | −586.087 | − | 676.380i | −0.863162 | − | 0.996142i | ||||
\(680\) | −66.5511 | − | 19.5412i | −0.0978693 | − | 0.0287370i | ||||
\(681\) | −288.747 | − | 131.867i | −0.424005 | − | 0.193637i | ||||
\(682\) | 273.007 | − | 424.807i | 0.400304 | − | 0.622885i | ||||
\(683\) | −645.179 | + | 189.442i | −0.944625 | + | 0.277367i | −0.717547 | − | 0.696510i | \(-0.754735\pi\) |
−0.227078 | + | 0.973877i | \(0.572917\pi\) | |||||||
\(684\) | −197.889 | − | 28.4521i | −0.289311 | − | 0.0415966i | ||||
\(685\) | −24.4572 | − | 53.5538i | −0.0357040 | − | 0.0781808i | ||||
\(686\) | −401.443 | + | 57.7187i | −0.585193 | + | 0.0841381i | ||||
\(687\) | −11.2998 | − | 17.5828i | −0.0164480 | − | 0.0255936i | ||||
\(688\) | 161.123 | + | 139.614i | 0.234191 | + | 0.202928i | ||||
\(689\) | 1503.14i | 2.18162i | ||||||||
\(690\) | 45.3695 | + | 52.6382i | 0.0657528 | + | 0.0762872i | ||||
\(691\) | 399.989 | 0.578856 | 0.289428 | − | 0.957200i | \(-0.406535\pi\) | ||||
0.289428 | + | 0.957200i | \(0.406535\pi\) | |||||||
\(692\) | −138.940 | + | 160.345i | −0.200780 | + | 0.231712i | ||||
\(693\) | −408.115 | + | 262.280i | −0.588911 | + | 0.378470i | ||||
\(694\) | 106.790 | + | 742.743i | 0.153877 | + | 1.07024i | ||||
\(695\) | 9.69108 | − | 4.42577i | 0.0139440 | − | 0.00636801i | ||||
\(696\) | 16.2443 | − | 112.982i | 0.0233396 | − | 0.162330i | ||||
\(697\) | −340.643 | − | 1160.12i | −0.488728 | − | 1.66445i | ||||
\(698\) | −440.862 | − | 283.325i | −0.631607 | − | 0.405909i | ||||
\(699\) | −9.72527 | + | 21.2954i | −0.0139131 | + | 0.0304655i | ||||
\(700\) | −103.664 | + | 353.047i | −0.148091 | + | 0.504353i | ||||
\(701\) | −230.230 | + | 199.496i | −0.328431 | + | 0.284587i | −0.803430 | − | 0.595399i | \(-0.796994\pi\) |
0.474999 | + | 0.879986i | \(0.342449\pi\) | |||||||
\(702\) | 73.0245 | + | 84.2748i | 0.104024 | + | 0.120050i | ||||
\(703\) | 1075.78 | + | 315.878i | 1.53027 | + | 0.449329i | ||||
\(704\) | −150.176 | − | 68.5830i | −0.213318 | − | 0.0974191i | ||||
\(705\) | −65.9672 | + | 102.647i | −0.0935705 | + | 0.145599i | ||||
\(706\) | 294.154 | − | 86.3714i | 0.416648 | − | 0.122339i | ||||
\(707\) | 86.4111 | + | 12.4240i | 0.122222 | + | 0.0175729i | ||||
\(708\) | 17.7994 | + | 38.9752i | 0.0251403 | + | 0.0550497i | ||||
\(709\) | 1062.22 | − | 152.725i | 1.49820 | − | 0.215408i | 0.656076 | − | 0.754695i | \(-0.272215\pi\) |
0.842122 | + | 0.539286i | \(0.181306\pi\) | |||||||
\(710\) | 25.8689 | + | 40.2527i | 0.0364350 | + | 0.0566940i | ||||
\(711\) | 128.116 | + | 111.013i | 0.180192 | + | 0.156137i | ||||
\(712\) | − | 11.6319i | − | 0.0163369i | ||||||
\(713\) | −393.754 | − | 57.6704i | −0.552249 | − | 0.0808841i | ||||
\(714\) | −381.594 | −0.534446 | ||||||||
\(715\) | 252.958 | − | 291.930i | 0.353788 | − | 0.408293i | ||||
\(716\) | −186.428 | + | 119.810i | −0.260375 | + | 0.167333i | ||||
\(717\) | −14.8025 | − | 102.953i | −0.0206450 | − | 0.143589i | ||||
\(718\) | −526.338 | + | 240.370i | −0.733061 | + | 0.334778i | ||||
\(719\) | −32.5524 | + | 226.407i | −0.0452746 | + | 0.314892i | 0.954582 | + | 0.297949i | \(0.0963024\pi\) |
−0.999856 | + | 0.0169429i | \(0.994607\pi\) | |||||||
\(720\) | 4.17014 | + | 14.2022i | 0.00579186 | + | 0.0197253i | ||||
\(721\) | −1163.99 | − | 748.050i | −1.61441 | − | 1.03752i | ||||
\(722\) | −440.180 | + | 963.860i | −0.609668 | + | 1.33499i | ||||
\(723\) | 113.998 | − | 388.242i | 0.157674 | − | 0.536987i | ||||
\(724\) | −215.670 | + | 186.879i | −0.297887 | + | 0.258120i | ||||
\(725\) | −358.233 | − | 413.423i | −0.494115 | − | 0.570239i | ||||
\(726\) | −716.554 | − | 210.399i | −0.986989 | − | 0.289806i | ||||
\(727\) | 256.992 | + | 117.364i | 0.353496 | + | 0.161436i | 0.584246 | − | 0.811577i | \(-0.301390\pi\) |
−0.230749 | + | 0.973013i | \(0.574118\pi\) | |||||||
\(728\) | 181.831 | − | 282.934i | 0.249767 | − | 0.388645i | ||||
\(729\) | −25.9063 | + | 7.60678i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | −41.9277 | − | 6.02830i | −0.0574352 | − | 0.00825794i | ||||
\(731\) | 440.189 | + | 963.880i | 0.602174 | + | 1.31858i | ||||
\(732\) | 142.029 | − | 20.4206i | 0.194028 | − | 0.0278970i | ||||
\(733\) | 160.470 | + | 249.696i | 0.218922 | + | 0.340650i | 0.933292 | − | 0.359119i | \(-0.116923\pi\) |
−0.714369 | + | 0.699769i | \(0.753286\pi\) | |||||||
\(734\) | −14.2824 | − | 12.3757i | −0.0194583 | − | 0.0168607i | ||||
\(735\) | − | 26.4955i | − | 0.0360483i | ||||||
\(736\) | −0.342113 | + | 130.107i | −0.000464827 | + | 0.176776i | ||||
\(737\) | −1778.32 | −2.41292 | ||||||||
\(738\) | −168.971 | + | 195.003i | −0.228958 | + | 0.264231i | ||||
\(739\) | 1078.73 | − | 693.258i | 1.45972 | − | 0.938103i | 0.461003 | − | 0.887399i | \(-0.347490\pi\) |
0.998714 | − | 0.0507039i | \(-0.0161465\pi\) | |||||||
\(740\) | −11.8136 | − | 82.1655i | −0.0159644 | − | 0.111035i | ||||
\(741\) | 796.640 | − | 363.813i | 1.07509 | − | 0.490976i | ||||
\(742\) | −156.218 | + | 1086.52i | −0.210536 | + | 1.46431i | ||||
\(743\) | −328.752 | − | 1119.63i | −0.442465 | − | 1.50690i | −0.815321 | − | 0.579009i | \(-0.803440\pi\) |
0.372856 | − | 0.927889i | \(-0.378379\pi\) | |||||||
\(744\) | −71.3080 | − | 45.8269i | −0.0958441 | − | 0.0615952i | ||||
\(745\) | 12.4885 | − | 27.3460i | 0.0167631 | − | 0.0367060i | ||||
\(746\) | −48.5309 | + | 165.281i | −0.0650548 | + | 0.221556i | ||||
\(747\) | 75.0457 | − | 65.0275i | 0.100463 | − | 0.0870515i | ||||
\(748\) | −537.353 | − | 620.139i | −0.718386 | − | 0.829062i | ||||
\(749\) | −478.302 | − | 140.442i | −0.638587 | − | 0.187506i | ||||
\(750\) | 133.237 | + | 60.8471i | 0.177649 | + | 0.0811294i | ||||
\(751\) | −50.2911 | + | 78.2545i | −0.0669655 | + | 0.104200i | −0.873121 | − | 0.487503i | \(-0.837908\pi\) |
0.806156 | + | 0.591703i | \(0.201544\pi\) | |||||||
\(752\) | −219.194 | + | 64.3611i | −0.291481 | + | 0.0855865i | ||||
\(753\) | 346.352 | + | 49.7978i | 0.459962 | + | 0.0661326i | ||||
\(754\) | 207.714 | + | 454.831i | 0.275483 | + | 0.603224i | ||||
\(755\) | 215.904 | − | 31.0422i | 0.285965 | − | 0.0411156i | ||||
\(756\) | 44.0261 | + | 68.5060i | 0.0582356 | + | 0.0906164i | ||||
\(757\) | −56.5385 | − | 48.9909i | −0.0746876 | − | 0.0647171i | 0.616717 | − | 0.787185i | \(-0.288462\pi\) |
−0.691405 | + | 0.722468i | \(0.743008\pi\) | |||||||
\(758\) | − | 510.499i | − | 0.673482i | ||||||
\(759\) | 114.859 | + | 814.053i | 0.151330 | + | 1.07253i | ||||
\(760\) | 116.249 | 0.152960 | ||||||||
\(761\) | 542.377 | − | 625.937i | 0.712717 | − | 0.822519i | −0.277694 | − | 0.960669i | \(-0.589570\pi\) |
0.990411 | + | 0.138150i | \(0.0441158\pi\) | |||||||
\(762\) | 163.977 | − | 105.381i | 0.215192 | − | 0.138296i | ||||
\(763\) | 62.2473 | + | 432.939i | 0.0815823 | + | 0.567417i | ||||
\(764\) | 200.799 | − | 91.7018i | 0.262826 | − | 0.120029i | ||||
\(765\) | −10.4698 | + | 72.8194i | −0.0136861 | + | 0.0951887i | ||||
\(766\) | 38.6891 | + | 131.763i | 0.0505079 | + | 0.172014i | ||||
\(767\) | −157.900 | − | 101.476i | −0.205867 | − | 0.132303i | ||||
\(768\) | −11.5123 | + | 25.2085i | −0.0149900 | + | 0.0328235i | ||||
\(769\) | −393.617 | + | 1340.54i | −0.511855 | + | 1.74322i | 0.145225 | + | 0.989399i | \(0.453610\pi\) |
−0.657080 | + | 0.753821i | \(0.728209\pi\) | |||||||
\(770\) | 213.187 | − | 184.727i | 0.276866 | − | 0.239906i | ||||
\(771\) | 211.792 | + | 244.421i | 0.274698 | + | 0.317018i | ||||
\(772\) | −559.324 | − | 164.232i | −0.724513 | − | 0.212736i | ||||
\(773\) | −476.037 | − | 217.399i | −0.615831 | − | 0.281241i | 0.0829752 | − | 0.996552i | \(-0.473558\pi\) |
−0.698806 | + | 0.715311i | \(0.746285\pi\) | |||||||
\(774\) | 122.255 | − | 190.232i | 0.157952 | − | 0.245778i | ||||
\(775\) | −389.779 | + | 114.449i | −0.502940 | + | 0.147677i | ||||
\(776\) | −319.761 | − | 45.9746i | −0.412063 | − | 0.0592457i | ||||
\(777\) | −189.716 | − | 415.419i | −0.244164 | − | 0.534645i | ||||
\(778\) | 733.342 | − | 105.439i | 0.942599 | − | 0.135525i | ||||
\(779\) | 1095.59 | + | 1704.77i | 1.40641 | + | 2.18841i | ||||
\(780\) | −49.0032 | − | 42.4615i | −0.0628246 | − | 0.0544378i | ||||
\(781\) | 566.064i | 0.724794i | ||||||||
\(782\) | −270.180 | + | 587.518i | −0.345499 | + | 0.751302i | ||||
\(783\) | −121.068 | −0.154620 | ||||||||
\(784\) | 32.4854 | − | 37.4901i | 0.0414354 | − | 0.0478190i | ||||
\(785\) | −60.5828 | + | 38.9342i | −0.0771756 | + | 0.0495977i | ||||
\(786\) | −48.4472 | − | 336.958i | −0.0616377 | − | 0.428700i | ||||
\(787\) | −237.982 | + | 108.683i | −0.302391 | + | 0.138097i | −0.560832 | − | 0.827930i | \(-0.689519\pi\) |
0.258441 | + | 0.966027i | \(0.416791\pi\) | |||||||
\(788\) | 57.6464 | − | 400.940i | 0.0731553 | − | 0.508807i | ||||
\(789\) | −224.627 | − | 765.010i | −0.284699 | − | 0.969595i | ||||
\(790\) | −82.9239 | − | 53.2920i | −0.104967 | − | 0.0674582i | ||||
\(791\) | −253.301 | + | 554.653i | −0.320229 | + | 0.701204i | ||||
\(792\) | −49.3342 | + | 168.017i | −0.0622906 | + | 0.212142i | ||||
\(793\) | −475.039 | + | 411.623i | −0.599040 | + | 0.519071i | ||||
\(794\) | −546.721 | − | 630.950i | −0.688566 | − | 0.794648i | ||||
\(795\) | 203.054 | + | 59.6219i | 0.255413 | + | 0.0749961i | ||||
\(796\) | 502.742 | + | 229.595i | 0.631586 | + | 0.288436i | ||||
\(797\) | −321.647 | + | 500.493i | −0.403572 | + | 0.627971i | −0.982248 | − | 0.187587i | \(-0.939933\pi\) |
0.578676 | + | 0.815558i | \(0.303570\pi\) | |||||||
\(798\) | 613.649 | − | 180.184i | 0.768984 | − | 0.225794i | ||||
\(799\) | −1123.88 | − | 161.589i | −1.40661 | − | 0.202239i | ||||
\(800\) | 55.1732 | + | 120.812i | 0.0689665 | + | 0.151015i | ||||
\(801\) | −12.2119 | + | 1.75580i | −0.0152458 | + | 0.00219201i | ||||
\(802\) | 109.904 | + | 171.014i | 0.137037 | + | 0.213234i | ||||
\(803\) | −378.721 | − | 328.164i | −0.471633 | − | 0.408672i | ||||
\(804\) | 298.509i | 0.371279i | ||||||||
\(805\) | −201.973 | − | 92.8805i | −0.250898 | − | 0.115379i | ||||
\(806\) | 371.316 | 0.460690 | ||||||||
\(807\) | −31.3271 | + | 36.1534i | −0.0388192 | + | 0.0447998i | ||||
\(808\) | 26.5091 | − | 17.0363i | 0.0328082 | − | 0.0210846i | ||||
\(809\) | −44.9502 | − | 312.635i | −0.0555626 | − | 0.386447i | −0.998560 | − | 0.0536464i | \(-0.982916\pi\) |
0.942997 | − | 0.332800i | \(-0.107993\pi\) | |||||||
\(810\) | 14.2809 | − | 6.52187i | 0.0176307 | − | 0.00805169i | ||||
\(811\) | 13.6402 | − | 94.8695i | 0.0168190 | − | 0.116978i | −0.979682 | − | 0.200555i | \(-0.935725\pi\) |
0.996501 | + | 0.0835769i | \(0.0266344\pi\) | |||||||
\(812\) | 102.873 | + | 350.355i | 0.126691 | + | 0.431471i | ||||
\(813\) | −25.9201 | − | 16.6578i | −0.0318820 | − | 0.0204893i | ||||
\(814\) | 407.955 | − | 893.297i | 0.501173 | − | 1.09742i | ||||
\(815\) | −92.8752 | + | 316.304i | −0.113957 | + | 0.388103i | ||||
\(816\) | −104.096 | + | 90.1998i | −0.127569 | + | 0.110539i | ||||
\(817\) | −1163.01 | − | 1342.18i | −1.42351 | − | 1.64282i | ||||
\(818\) | −500.174 | − | 146.864i | −0.611460 | − | 0.179541i | ||||
\(819\) | −324.489 | − | 148.189i | −0.396201 | − | 0.180939i | ||||
\(820\) | 81.1144 | − | 126.216i | 0.0989200 | − | 0.153923i | ||||
\(821\) | 270.108 | − | 79.3108i | 0.328999 | − | 0.0966027i | −0.113062 | − | 0.993588i | \(-0.536066\pi\) |
0.442060 | + | 0.896985i | \(0.354248\pi\) | |||||||
\(822\) | −115.724 | − | 16.6386i | −0.140784 | − | 0.0202417i | ||||
\(823\) | −250.679 | − | 548.911i | −0.304592 | − | 0.666964i | 0.694002 | − | 0.719973i | \(-0.255846\pi\) |
−0.998594 | + | 0.0530093i | \(0.983119\pi\) | |||||||
\(824\) | −494.349 | + | 71.0767i | −0.599938 | + | 0.0862581i | ||||
\(825\) | 453.717 | + | 705.997i | 0.549960 | + | 0.855754i | ||||
\(826\) | −103.589 | − | 89.7606i | −0.125411 | − | 0.108669i | ||||
\(827\) | 249.338i | 0.301497i | 0.988572 | + | 0.150749i | \(0.0481684\pi\) | ||||
−0.988572 | + | 0.150749i | \(0.951832\pi\) | |||||||
\(828\) | 136.647 | − | 19.2802i | 0.165032 | − | 0.0232853i | ||||
\(829\) | −746.897 | −0.900962 | −0.450481 | − | 0.892786i | \(-0.648747\pi\) | ||||
−0.450481 | + | 0.892786i | \(0.648747\pi\) | |||||||
\(830\) | −37.8114 | + | 43.6367i | −0.0455560 | + | 0.0525744i | ||||
\(831\) | −131.215 | + | 84.3268i | −0.157900 | + | 0.101476i | ||||
\(832\) | −17.2768 | − | 120.163i | −0.0207654 | − | 0.144426i | ||||
\(833\) | 224.275 | − | 102.423i | 0.269238 | − | 0.122957i | ||||
\(834\) | 3.01092 | − | 20.9414i | 0.00361022 | − | 0.0251096i | ||||
\(835\) | 37.5100 | + | 127.747i | 0.0449221 | + | 0.152991i | ||||
\(836\) | 1156.95 | + | 743.526i | 1.38391 | + | 0.889385i | ||||
\(837\) | −37.3482 | + | 81.7812i | −0.0446215 | + | 0.0977075i | ||||
\(838\) | 49.6814 | − | 169.199i | 0.0592857 | − | 0.201909i | ||||
\(839\) | 539.470 | − | 467.454i | 0.642992 | − | 0.557156i | −0.271156 | − | 0.962535i | \(-0.587406\pi\) |
0.914149 | + | 0.405379i | \(0.132861\pi\) | |||||||
\(840\) | −31.0082 | − | 35.7854i | −0.0369146 | − | 0.0426017i | ||||
\(841\) | 286.058 | + | 83.9942i | 0.340140 | + | 0.0998741i | ||||
\(842\) | −454.039 | − | 207.353i | −0.539239 | − | 0.246262i | ||||
\(843\) | −53.3083 | + | 82.9494i | −0.0632364 | + | 0.0983978i | ||||
\(844\) | −268.351 | + | 78.7950i | −0.317951 | + | 0.0933590i | ||||
\(845\) | 74.8117 | + | 10.7563i | 0.0885346 | + | 0.0127294i | ||||
\(846\) | 100.657 | + | 220.408i | 0.118980 | + | 0.260530i | ||||
\(847\) | 2364.71 | − | 339.994i | 2.79187 | − | 0.401410i | ||||
\(848\) | 214.212 | + | 333.321i | 0.252609 | + | 0.393067i | ||||
\(849\) | 373.532 | + | 323.667i | 0.439967 | + | 0.381234i | ||||
\(850\) | 660.119i | 0.776610i | ||||||||
\(851\) | −773.921 | − | 2.03500i | −0.909425 | − | 0.00239131i | ||||
\(852\) | 95.0192 | 0.111525 | ||||||||
\(853\) | 687.963 | − | 793.952i | 0.806522 | − | 0.930776i | −0.192198 | − | 0.981356i | \(-0.561562\pi\) |
0.998720 | + | 0.0505802i | \(0.0161070\pi\) | |||||||
\(854\) | −386.154 | + | 248.166i | −0.452170 | + | 0.290592i | ||||
\(855\) | −17.5476 | − | 122.046i | −0.0205235 | − | 0.142744i | ||||
\(856\) | −163.674 | + | 74.7476i | −0.191208 | + | 0.0873220i | ||||
\(857\) | 120.755 | − | 839.869i | 0.140904 | − | 0.980010i | −0.789572 | − | 0.613658i | \(-0.789697\pi\) |
0.930476 | − | 0.366352i | \(-0.119394\pi\) | |||||||
\(858\) | −216.113 | − | 736.012i | −0.251880 | − | 0.857823i | ||||
\(859\) | 1161.24 | + | 746.283i | 1.35185 | + | 0.868781i | 0.997790 | − | 0.0664426i | \(-0.0211649\pi\) |
0.354059 | + | 0.935223i | \(0.384801\pi\) | |||||||
\(860\) | −54.6218 | + | 119.605i | −0.0635137 | + | 0.139076i | ||||
\(861\) | 232.549 | − | 791.989i | 0.270092 | − | 0.919848i | ||||
\(862\) | 503.878 | − | 436.613i | 0.584545 | − | 0.506511i | ||||
\(863\) | 953.945 | + | 1100.91i | 1.10538 | + | 1.27568i | 0.958053 | + | 0.286591i | \(0.0925221\pi\) |
0.147329 | + | 0.989088i | \(0.452932\pi\) | |||||||
\(864\) | 28.2032 | + | 8.28121i | 0.0326426 | + | 0.00958474i | ||||
\(865\) | −119.027 | − | 54.3578i | −0.137603 | − | 0.0628414i | ||||
\(866\) | −77.4335 | + | 120.489i | −0.0894152 | + | 0.139133i | ||||
\(867\) | −176.577 | + | 51.8476i | −0.203664 | + | 0.0598011i | ||||
\(868\) | 268.400 | + | 38.5901i | 0.309217 | + | 0.0444586i | ||||
\(869\) | −484.431 | − | 1060.76i | −0.557458 | − | 1.22066i | ||||
\(870\) | 69.6805 | − | 10.0185i | 0.0800925 | − | 0.0115156i | ||||
\(871\) | −706.965 | − | 1100.06i | −0.811671 | − | 1.26298i | ||||
\(872\) | 119.317 | + | 103.389i | 0.136832 | + | 0.118565i | ||||
\(873\) | 342.645i | 0.392491i | ||||||||
\(874\) | 157.063 | − | 1072.37i | 0.179706 | − | 1.22697i | ||||
\(875\) | −468.567 | −0.535505 | ||||||||
\(876\) | −55.0854 | + | 63.5719i | −0.0628829 | + | 0.0725707i | ||||
\(877\) | −892.868 | + | 573.812i | −1.01809 | + | 0.654289i | −0.939476 | − | 0.342616i | \(-0.888687\pi\) |
−0.0786182 | + | 0.996905i | \(0.525051\pi\) | |||||||
\(878\) | −94.6513 | − | 658.314i | −0.107803 | − | 0.749788i | ||||
\(879\) | 230.891 | − | 105.444i | 0.262675 | − | 0.119959i | ||||
\(880\) | 14.4906 | − | 100.785i | 0.0164666 | − | 0.114528i | ||||
\(881\) | 479.331 | + | 1632.45i | 0.544076 | + | 1.85295i | 0.521577 | + | 0.853204i | \(0.325344\pi\) |
0.0224987 | + | 0.999747i | \(0.492838\pi\) | |||||||
\(882\) | −44.2631 | − | 28.4462i | −0.0501849 | − | 0.0322519i | ||||
\(883\) | 170.901 | − | 374.220i | 0.193545 | − | 0.423805i | −0.787833 | − | 0.615889i | \(-0.788797\pi\) |
0.981379 | + | 0.192083i | \(0.0615244\pi\) | |||||||
\(884\) | 169.991 | − | 578.937i | 0.192298 | − | 0.654906i | ||||
\(885\) | −19.9711 | + | 17.3051i | −0.0225663 | + | 0.0195538i | ||||
\(886\) | 505.853 | + | 583.786i | 0.570940 | + | 0.658900i | ||||
\(887\) | −658.613 | − | 193.386i | −0.742518 | − | 0.218023i | −0.111471 | − | 0.993768i | \(-0.535556\pi\) |
−0.631047 | + | 0.775745i | \(0.717374\pi\) | |||||||
\(888\) | −149.948 | − | 68.4791i | −0.168861 | − | 0.0771161i | ||||
\(889\) | −337.115 | + | 524.561i | −0.379207 | + | 0.590057i | ||||
\(890\) | 6.88325 | − | 2.02110i | 0.00773399 | − | 0.00227090i | ||||
\(891\) | 183.842 | + | 26.4324i | 0.206332 | + | 0.0296660i | ||||
\(892\) | 143.360 | + | 313.914i | 0.160717 | + | 0.351921i | ||||
\(893\) | 1883.63 | − | 270.825i | 2.10933 | − | 0.303276i | ||||
\(894\) | −32.2760 | − | 50.2224i | −0.0361029 | − | 0.0561772i | ||||
\(895\) | −103.292 | − | 89.5028i | −0.115410 | − | 0.100003i | ||||
\(896\) | − | 88.6533i | − | 0.0989434i | ||||||
\(897\) | −457.906 | + | 394.674i | −0.510486 | + | 0.439994i | ||||
\(898\) | −501.825 | −0.558826 | ||||||||
\(899\) | −263.998 | + | 304.670i | −0.293657 | + | 0.338899i | ||||
\(900\) | 118.508 | − | 76.1607i | 0.131676 | − | 0.0846230i | ||||
\(901\) | 280.261 | + | 1949.26i | 0.311055 | + | 2.16344i | ||||
\(902\) | 1614.55 | − | 737.341i | 1.78997 | − | 0.817451i | ||||
\(903\) | −102.949 | + | 716.025i | −0.114008 | + | 0.792941i | ||||
\(904\) | 62.0079 | + | 211.180i | 0.0685929 | + | 0.233606i | ||||
\(905\) | −148.061 | − | 95.1532i | −0.163604 | − | 0.105142i | ||||
\(906\) | 179.940 | − | 394.014i | 0.198609 | − | 0.434894i | ||||
\(907\) | 5.35485 | − | 18.2370i | 0.00590392 | − | 0.0201069i | −0.956488 | − | 0.291771i | \(-0.905756\pi\) |
0.962392 | + | 0.271664i | \(0.0875738\pi\) | |||||||
\(908\) | 277.013 | − | 240.033i | 0.305080 | − | 0.264353i | ||||
\(909\) | −21.8873 | − | 25.2593i | −0.0240785 | − | 0.0277880i | ||||
\(910\) | 199.023 | + | 58.4383i | 0.218706 | + | 0.0642179i | ||||
\(911\) | −402.754 | − | 183.932i | −0.442101 | − | 0.201901i | 0.181912 | − | 0.983315i | \(-0.441771\pi\) |
−0.624013 | + | 0.781414i | \(0.714499\pi\) | |||||||
\(912\) | 124.808 | − | 194.205i | 0.136851 | − | 0.212944i | ||||
\(913\) | −655.410 | + | 192.446i | −0.717864 | + | 0.210784i | ||||
\(914\) | 251.125 | + | 36.1064i | 0.274754 | + | 0.0395037i | ||||
\(915\) | 36.7624 | + | 80.4984i | 0.0401775 | + | 0.0879764i | ||||
\(916\) | 23.8884 | − | 3.43464i | 0.0260791 | − | 0.00374961i | ||||
\(917\) | 588.765 | + | 916.136i | 0.642056 | + | 0.999058i | ||||
\(918\) | 110.411 | + | 95.6714i | 0.120273 | + | 0.104217i | ||||
\(919\) | − | 1415.29i | − | 1.54004i | −0.638021 | − | 0.770019i | \(-0.720247\pi\) | ||
0.638021 | − | 0.770019i | \(-0.279753\pi\) | |||||||
\(920\) | −77.0515 | + | 22.4044i | −0.0837516 | + | 0.0243527i | ||||
\(921\) | 870.515 | 0.945184 | ||||||||
\(922\) | −634.308 | + | 732.031i | −0.687970 | + | 0.793960i | ||||
\(923\) | −350.163 | + | 225.036i | −0.379375 | + | 0.243810i | ||||
\(924\) | −79.7215 | − | 554.475i | −0.0862787 | − | 0.600081i | ||||
\(925\) | −718.632 | + | 328.188i | −0.776900 | + | 0.354798i | ||||
\(926\) | 175.599 | − | 1221.32i | 0.189632 | − | 1.31892i | ||||
\(927\) | 149.242 | + | 508.270i | 0.160994 | + | 0.548296i | ||||
\(928\) | 110.879 | + | 71.2574i | 0.119481 | + | 0.0767860i | ||||
\(929\) | 371.825 | − | 814.183i | 0.400242 | − | 0.876408i | −0.597004 | − | 0.802238i | \(-0.703642\pi\) |
0.997246 | − | 0.0741691i | \(-0.0236305\pi\) | |||||||
\(930\) | 14.7282 | − | 50.1598i | 0.0158368 | − | 0.0539352i | ||||
\(931\) | −312.298 | + | 270.608i | −0.335444 | + | 0.290664i | ||||
\(932\) | −17.7026 | − | 20.4299i | −0.0189942 | − | 0.0219205i | ||||
\(933\) | −892.994 | − | 262.207i | −0.957122 | − | 0.281036i | ||||
\(934\) | −251.087 | − | 114.667i | −0.268829 | − | 0.122770i | ||||
\(935\) | 273.604 | − | 425.736i | 0.292624 | − | 0.455332i | ||||
\(936\) | −123.547 | + | 36.2766i | −0.131994 | + | 0.0387570i | ||||
\(937\) | 273.343 | + | 39.3008i | 0.291721 | + | 0.0419432i | 0.286622 | − | 0.958044i | \(-0.407468\pi\) |
0.00509944 | + | 0.999987i | \(0.498377\pi\) | |||||||
\(938\) | −396.692 | − | 868.634i | −0.422913 | − | 0.926049i | ||||
\(939\) | −608.904 | + | 87.5472i | −0.648460 | + | 0.0932345i | ||||
\(940\) | −76.1724 | − | 118.527i | −0.0810345 | − | 0.126092i | ||||
\(941\) | 177.280 | + | 153.614i | 0.188395 | + | 0.163245i | 0.743952 | − | 0.668234i | \(-0.232949\pi\) |
−0.555557 | + | 0.831479i | \(0.687495\pi\) | |||||||
\(942\) | 143.010i | 0.151815i | ||||||||
\(943\) | −1054.73 | − | 918.793i | −1.11848 | − | 0.974330i | ||||
\(944\) | −49.4757 | −0.0524107 | ||||||||
\(945\) | −32.8892 | + | 37.9562i | −0.0348034 | + | 0.0401653i | ||||
\(946\) | −1308.60 | + | 840.987i | −1.38330 | + | 0.888993i | ||||
\(947\) | 217.898 | + | 1515.51i | 0.230092 | + | 1.60033i | 0.697699 | + | 0.716391i | \(0.254207\pi\) |
−0.467606 | + | 0.883937i | \(0.654883\pi\) | |||||||
\(948\) | −178.058 | + | 81.3164i | −0.187825 | + | 0.0857768i | ||||
\(949\) | 52.4409 | − | 364.734i | 0.0552591 | − | 0.384336i | ||||
\(950\) | −311.699 | − | 1061.55i | −0.328104 | − | 1.11742i | ||||
\(951\) | −218.970 | − | 140.723i | −0.230252 | − | 0.147974i | ||||
\(952\) | 183.043 | − | 400.808i | 0.192272 | − | 0.421017i | ||||
\(953\) | 122.596 | − | 417.524i | 0.128642 | − | 0.438116i | −0.869831 | − | 0.493350i | \(-0.835772\pi\) |
0.998473 | + | 0.0552339i | \(0.0175905\pi\) | |||||||
\(954\) | 317.607 | − | 275.208i | 0.332921 | − | 0.288478i | ||||
\(955\) | 89.1553 | + | 102.891i | 0.0933564 | + | 0.107739i | ||||
\(956\) | 115.238 | + | 33.8369i | 0.120542 | + | 0.0353942i | ||||
\(957\) | 757.560 | + | 345.966i | 0.791599 | + | 0.361511i | ||||
\(958\) | 50.6430 | − | 78.8021i | 0.0528633 | − | 0.0822569i | ||||
\(959\) | 358.859 | − | 105.371i | 0.374201 | − | 0.109875i | ||||
\(960\) | −16.9176 | − | 2.43239i | −0.0176226 | − | 0.00253374i | ||||
\(961\) | −274.850 | − | 601.838i | −0.286004 | − | 0.626262i | ||||
\(962\) | 714.768 | − | 102.768i | 0.743002 | − | 0.106828i | ||||
\(963\) | 103.181 | + | 160.553i | 0.107145 | + | 0.166722i | ||||
\(964\) | 353.108 | + | 305.970i | 0.366295 | + | 0.317396i | ||||
\(965\) | − | 359.521i | − | 0.372560i | ||||||
\(966\) | −372.008 | + | 237.695i | −0.385101 | + | 0.246061i | ||||
\(967\) | 1817.11 | 1.87912 | 0.939558 | − | 0.342389i | \(-0.111236\pi\) | ||||
0.939558 | + | 0.342389i | \(0.111236\pi\) | |||||||
\(968\) | 564.710 | − | 651.710i | 0.583378 | − | 0.673255i | ||||
\(969\) | 965.242 | − | 620.323i | 0.996122 | − | 0.640169i | ||||
\(970\) | −28.3544 | − | 197.209i | −0.0292314 | − | 0.203309i | ||||
\(971\) | −32.2682 | + | 14.7364i | −0.0332319 | + | 0.0151765i | −0.431962 | − | 0.901892i | \(-0.642178\pi\) |
0.398730 | + | 0.917068i | \(0.369451\pi\) | |||||||
\(972\) | 4.43694 | − | 30.8596i | 0.00456475 | − | 0.0317485i | ||||
\(973\) | 19.0678 | + | 64.9390i | 0.0195969 | + | 0.0667410i | ||||
\(974\) | −111.048 | − | 71.3661i | −0.114012 | − | 0.0732712i | ||||
\(975\) | −256.352 | + | 561.332i | −0.262925 | + | 0.575726i | ||||
\(976\) | −46.6794 | + | 158.975i | −0.0478272 | + | 0.162885i | ||||
\(977\) | 713.384 | − | 618.151i | 0.730178 | − | 0.632703i | −0.208291 | − | 0.978067i | \(-0.566790\pi\) |
0.938469 | + | 0.345364i | \(0.112245\pi\) | |||||||
\(978\) | 428.701 | + | 494.748i | 0.438345 | + | 0.505877i | ||||
\(979\) | 81.4311 | + | 23.9103i | 0.0831779 | + | 0.0244232i | ||||
\(980\) | 27.8296 | + | 12.7094i | 0.0283976 | + | 0.0129687i | ||||
\(981\) | 90.5337 | − | 140.873i | 0.0922872 | − | 0.143602i | ||||
\(982\) | 685.096 | − | 201.162i | 0.697654 | − | 0.204850i | ||||
\(983\) | −476.921 | − | 68.5709i | −0.485169 | − | 0.0697568i | −0.104610 | − | 0.994513i | \(-0.533359\pi\) |
−0.380559 | + | 0.924757i | \(0.624268\pi\) | |||||||
\(984\) | −123.770 | − | 271.018i | −0.125782 | − | 0.275425i | ||||
\(985\) | 247.276 | − | 35.5529i | 0.251041 | − | 0.0360943i | ||||
\(986\) | 354.165 | + | 551.092i | 0.359194 | + | 0.558917i | ||||
\(987\) | −585.807 | − | 507.605i | −0.593523 | − | 0.514291i | ||||
\(988\) | 1011.27i | 1.02355i | ||||||||
\(989\) | 1029.53 | + | 665.471i | 1.04098 | + | 0.672873i | ||||
\(990\) | −107.997 | −0.109088 | ||||||||
\(991\) | −511.694 | + | 590.527i | −0.516341 | + | 0.595890i | −0.952711 | − | 0.303878i | \(-0.901719\pi\) |
0.436370 | + | 0.899767i | \(0.356264\pi\) | |||||||
\(992\) | 82.3394 | − | 52.9163i | 0.0830034 | − | 0.0533430i | ||||
\(993\) | 68.1948 | + | 474.305i | 0.0686755 | + | 0.477649i | ||||
\(994\) | −276.498 | + | 126.272i | −0.278167 | + | 0.127035i | ||||
\(995\) | −48.5101 | + | 337.395i | −0.0487539 | + | 0.339091i | ||||
\(996\) | 32.3039 | + | 110.017i | 0.0324336 | + | 0.110459i | ||||
\(997\) | −366.595 | − | 235.597i | −0.367698 | − | 0.236305i | 0.343723 | − | 0.939071i | \(-0.388312\pi\) |
−0.711421 | + | 0.702766i | \(0.751948\pi\) | |||||||
\(998\) | −212.185 | + | 464.619i | −0.212610 | + | 0.465551i | ||||
\(999\) | −49.2594 | + | 167.762i | −0.0493087 | + | 0.167930i |
(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 | 138.3.h.a.7.1 | ✓ | 80 | |
3.2 | odd | 2 | 414.3.l.b.145.6 | 80 | |||
23.10 | odd | 22 | inner | 138.3.h.a.79.1 | yes | 80 | |
69.56 | even | 22 | 414.3.l.b.217.6 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.3.h.a.7.1 | ✓ | 80 | 1.1 | even | 1 | trivial | |
138.3.h.a.79.1 | yes | 80 | 23.10 | odd | 22 | inner | |
414.3.l.b.145.6 | 80 | 3.2 | odd | 2 | |||
414.3.l.b.217.6 | 80 | 69.56 | even | 22 |