Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(37,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([0, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.bd (of order \(24\), degree \(8\), 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: | \(1.78864900528\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 37.9 | ||
Character | \(\chi\) | \(=\) | 224.37 |
Dual form | 224.2.bd.a.109.9 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.760837 | + | 1.19211i | −0.537993 | + | 0.842949i | ||||
\(3\) | −1.44087 | + | 1.87778i | −0.831887 | + | 1.08414i | 0.163341 | + | 0.986570i | \(0.447773\pi\) |
−0.995229 | + | 0.0975672i | \(0.968894\pi\) | |||||||
\(4\) | −0.842255 | − | 1.81400i | −0.421128 | − | 0.907001i | ||||
\(5\) | −2.75892 | + | 2.11700i | −1.23383 | + | 0.946749i | −0.999676 | − | 0.0254506i | \(-0.991898\pi\) |
−0.234152 | + | 0.972200i | \(0.575231\pi\) | |||||||
\(6\) | −1.14225 | − | 3.14636i | −0.466323 | − | 1.28450i | ||||
\(7\) | −1.14468 | − | 2.38531i | −0.432648 | − | 0.901563i | ||||
\(8\) | 2.80331 | + | 0.376098i | 0.991120 | + | 0.132971i | ||||
\(9\) | −0.673491 | − | 2.51350i | −0.224497 | − | 0.837834i | ||||
\(10\) | −0.424604 | − | 4.89963i | −0.134272 | − | 1.54940i | ||||
\(11\) | 2.68201 | − | 0.353093i | 0.808655 | − | 0.106461i | 0.285149 | − | 0.958483i | \(-0.407957\pi\) |
0.523506 | + | 0.852022i | \(0.324624\pi\) | |||||||
\(12\) | 4.61988 | + | 1.03217i | 1.33364 | + | 0.297963i | ||||
\(13\) | 1.84002 | − | 0.762162i | 0.510330 | − | 0.211386i | −0.112633 | − | 0.993637i | \(-0.535929\pi\) |
0.622963 | + | 0.782251i | \(0.285929\pi\) | |||||||
\(14\) | 3.71447 | + | 0.450247i | 0.992734 | + | 0.120334i | ||||
\(15\) | − | 8.23097i | − | 2.12523i | ||||||
\(16\) | −2.58121 | + | 3.05571i | −0.645303 | + | 0.763927i | ||||
\(17\) | −6.86527 | + | 3.96366i | −1.66507 | + | 0.961330i | −0.694836 | + | 0.719168i | \(0.744523\pi\) |
−0.970236 | + | 0.242161i | \(0.922144\pi\) | |||||||
\(18\) | 3.50879 | + | 1.10949i | 0.827029 | + | 0.261509i | ||||
\(19\) | 0.226114 | − | 1.71751i | 0.0518741 | − | 0.394023i | −0.945736 | − | 0.324935i | \(-0.894658\pi\) |
0.997611 | − | 0.0690882i | \(-0.0220090\pi\) | |||||||
\(20\) | 6.16395 | + | 3.22164i | 1.37830 | + | 0.720381i | ||||
\(21\) | 6.12843 | + | 1.28747i | 1.33733 | + | 0.280949i | ||||
\(22\) | −1.61964 | + | 3.46589i | −0.345309 | + | 0.738931i | ||||
\(23\) | −1.20290 | − | 4.48927i | −0.250821 | − | 0.936077i | −0.970368 | − | 0.241633i | \(-0.922317\pi\) |
0.719546 | − | 0.694444i | \(-0.244350\pi\) | |||||||
\(24\) | −4.74544 | + | 4.72209i | −0.968659 | + | 0.963893i | ||||
\(25\) | 1.83589 | − | 6.85163i | 0.367178 | − | 1.37033i | ||||
\(26\) | −0.491375 | + | 2.77339i | −0.0963665 | + | 0.543907i | ||||
\(27\) | −0.869948 | − | 0.360344i | −0.167421 | − | 0.0693483i | ||||
\(28\) | −3.36285 | + | 4.08549i | −0.635518 | + | 0.772086i | ||||
\(29\) | 0.0946303 | + | 0.228458i | 0.0175724 | + | 0.0424235i | 0.932422 | − | 0.361371i | \(-0.117691\pi\) |
−0.914850 | + | 0.403794i | \(0.867691\pi\) | |||||||
\(30\) | 9.81223 | + | 6.26242i | 1.79146 | + | 1.14336i | ||||
\(31\) | −4.72355 | − | 8.18143i | −0.848375 | − | 1.46943i | −0.882658 | − | 0.470016i | \(-0.844248\pi\) |
0.0342833 | − | 0.999412i | \(-0.489085\pi\) | |||||||
\(32\) | −1.67886 | − | 5.40198i | −0.296783 | − | 0.954945i | ||||
\(33\) | −3.20140 | + | 5.54498i | −0.557291 | + | 0.965257i | ||||
\(34\) | 0.498221 | − | 11.1999i | 0.0854441 | − | 1.92076i | ||||
\(35\) | 8.20778 | + | 4.15761i | 1.38737 | + | 0.702764i | ||||
\(36\) | −3.99225 | + | 3.33872i | −0.665375 | + | 0.556454i | ||||
\(37\) | −3.74651 | + | 2.87479i | −0.615922 | + | 0.472613i | −0.868986 | − | 0.494836i | \(-0.835228\pi\) |
0.253065 | + | 0.967449i | \(0.418561\pi\) | |||||||
\(38\) | 1.87542 | + | 1.57629i | 0.304233 | + | 0.255709i | ||||
\(39\) | −1.22006 | + | 4.55333i | −0.195366 | + | 0.729117i | ||||
\(40\) | −8.53032 | + | 4.89697i | −1.34876 | + | 0.774279i | ||||
\(41\) | 0.823484 | − | 0.823484i | 0.128607 | − | 0.128607i | −0.639874 | − | 0.768480i | \(-0.721013\pi\) |
0.768480 | + | 0.639874i | \(0.221013\pi\) | |||||||
\(42\) | −6.19754 | + | 6.32621i | −0.956301 | + | 0.976155i | ||||
\(43\) | −2.05302 | + | 4.95643i | −0.313082 | + | 0.755848i | 0.686505 | + | 0.727125i | \(0.259144\pi\) |
−0.999587 | + | 0.0287228i | \(0.990856\pi\) | |||||||
\(44\) | −2.89945 | − | 4.56777i | −0.437108 | − | 0.688618i | ||||
\(45\) | 7.17918 | + | 5.50878i | 1.07021 | + | 0.821200i | ||||
\(46\) | 6.26691 | + | 1.98162i | 0.924006 | + | 0.292173i | ||||
\(47\) | 0.844781 | + | 0.487734i | 0.123224 | + | 0.0711434i | 0.560345 | − | 0.828259i | \(-0.310669\pi\) |
−0.437121 | + | 0.899403i | \(0.644002\pi\) | |||||||
\(48\) | −2.01875 | − | 9.24983i | −0.291382 | − | 1.33510i | ||||
\(49\) | −4.37942 | + | 5.46083i | −0.625631 | + | 0.780119i | ||||
\(50\) | 6.77109 | + | 7.40155i | 0.957577 | + | 1.04674i | ||||
\(51\) | 2.44908 | − | 18.6026i | 0.342939 | − | 2.60488i | ||||
\(52\) | −2.93233 | − | 2.69587i | −0.406641 | − | 0.373850i | ||||
\(53\) | −7.52554 | + | 0.990756i | −1.03371 | + | 0.136091i | −0.628242 | − | 0.778018i | \(-0.716225\pi\) |
−0.405470 | + | 0.914108i | \(0.632892\pi\) | |||||||
\(54\) | 1.09146 | − | 0.762911i | 0.148529 | − | 0.103819i | ||||
\(55\) | −6.65195 | + | 6.65195i | −0.896949 | + | 0.896949i | ||||
\(56\) | −2.31178 | − | 7.11728i | −0.308925 | − | 0.951086i | ||||
\(57\) | 2.89930 | + | 2.89930i | 0.384021 | + | 0.384021i | ||||
\(58\) | −0.344345 | − | 0.0610092i | −0.0452147 | − | 0.00801091i | ||||
\(59\) | 0.187527 | + | 1.42441i | 0.0244139 | + | 0.185442i | 0.999307 | − | 0.0372330i | \(-0.0118544\pi\) |
−0.974893 | + | 0.222675i | \(0.928521\pi\) | |||||||
\(60\) | −14.9310 | + | 6.93258i | −1.92758 | + | 0.894992i | ||||
\(61\) | −5.51757 | − | 0.726402i | −0.706452 | − | 0.0930062i | −0.231265 | − | 0.972891i | \(-0.574286\pi\) |
−0.475187 | + | 0.879885i | \(0.657620\pi\) | |||||||
\(62\) | 13.3470 | + | 0.593736i | 1.69507 | + | 0.0754046i | ||||
\(63\) | −5.22455 | + | 4.48364i | −0.658232 | + | 0.564885i | ||||
\(64\) | 7.71710 | + | 2.10864i | 0.964638 | + | 0.263580i | ||||
\(65\) | −3.46298 | + | 5.99807i | −0.429530 | + | 0.743968i | ||||
\(66\) | −4.17449 | − | 8.03524i | −0.513844 | − | 0.989070i | ||||
\(67\) | −7.06937 | + | 9.21298i | −0.863661 | + | 1.12554i | 0.127363 | + | 0.991856i | \(0.459349\pi\) |
−0.991023 | + | 0.133688i | \(0.957318\pi\) | |||||||
\(68\) | 12.9724 | + | 9.11520i | 1.57314 | + | 1.10538i | ||||
\(69\) | 10.1631 | + | 4.20969i | 1.22349 | + | 0.506787i | ||||
\(70\) | −11.2011 | + | 6.62132i | −1.33879 | + | 0.791399i | ||||
\(71\) | −0.823109 | − | 0.823109i | −0.0976851 | − | 0.0976851i | 0.656575 | − | 0.754260i | \(-0.272004\pi\) |
−0.754260 | + | 0.656575i | \(0.772004\pi\) | |||||||
\(72\) | −0.942681 | − | 7.29942i | −0.111096 | − | 0.860245i | ||||
\(73\) | 13.8498 | + | 3.71104i | 1.62100 | + | 0.434345i | 0.951294 | − | 0.308285i | \(-0.0997552\pi\) |
0.669702 | + | 0.742630i | \(0.266422\pi\) | |||||||
\(74\) | −0.576595 | − | 6.65350i | −0.0670278 | − | 0.773453i | ||||
\(75\) | 10.2206 | + | 13.3197i | 1.18017 | + | 1.53803i | ||||
\(76\) | −3.30601 | + | 1.03641i | −0.379225 | + | 0.118884i | ||||
\(77\) | −3.91227 | − | 5.99324i | −0.445845 | − | 0.682993i | ||||
\(78\) | −4.49981 | − | 4.91879i | −0.509503 | − | 0.556943i | ||||
\(79\) | −0.377642 | − | 0.218032i | −0.0424880 | − | 0.0245305i | 0.478606 | − | 0.878030i | \(-0.341142\pi\) |
−0.521094 | + | 0.853500i | \(0.674476\pi\) | |||||||
\(80\) | 0.652444 | − | 13.8949i | 0.0729455 | − | 1.55349i | ||||
\(81\) | 8.69076 | − | 5.01761i | 0.965640 | − | 0.557513i | ||||
\(82\) | 0.355147 | + | 1.60822i | 0.0392194 | + | 0.177598i | ||||
\(83\) | −8.69345 | + | 3.60095i | −0.954230 | + | 0.395255i | −0.804819 | − | 0.593520i | \(-0.797738\pi\) |
−0.149411 | + | 0.988775i | \(0.547738\pi\) | |||||||
\(84\) | −2.82623 | − | 12.2014i | −0.308367 | − | 1.33128i | ||||
\(85\) | 10.5497 | − | 25.4692i | 1.14427 | − | 2.76252i | ||||
\(86\) | −4.34660 | − | 6.21846i | −0.468706 | − | 0.670553i | ||||
\(87\) | −0.565344 | − | 0.151483i | −0.0606112 | − | 0.0162407i | ||||
\(88\) | 7.65129 | + | 0.0188683i | 0.815631 | + | 0.00201137i | ||||
\(89\) | 6.94761 | − | 1.86161i | 0.736445 | − | 0.197330i | 0.128948 | − | 0.991651i | \(-0.458840\pi\) |
0.607498 | + | 0.794322i | \(0.292173\pi\) | |||||||
\(90\) | −12.0293 | + | 4.36710i | −1.26800 | + | 0.460332i | ||||
\(91\) | −3.92423 | − | 3.51659i | −0.411371 | − | 0.368639i | ||||
\(92\) | −7.13040 | + | 5.96317i | −0.743396 | + | 0.621703i | ||||
\(93\) | 22.1690 | + | 2.91860i | 2.29881 | + | 0.302644i | ||||
\(94\) | −1.22417 | + | 0.635986i | −0.126264 | + | 0.0655969i | ||||
\(95\) | 3.01212 | + | 5.21715i | 0.309037 | + | 0.535268i | ||||
\(96\) | 12.5628 | + | 4.63103i | 1.28218 | + | 0.472653i | ||||
\(97\) | −9.00485 | −0.914304 | −0.457152 | − | 0.889389i | \(-0.651131\pi\) | ||||
−0.457152 | + | 0.889389i | \(0.651131\pi\) | |||||||
\(98\) | −3.17790 | − | 9.37555i | −0.321016 | − | 0.947074i | ||||
\(99\) | −2.69381 | − | 6.50342i | −0.270738 | − | 0.653618i | ||||
\(100\) | −13.9752 | + | 2.44052i | −1.39752 | + | 0.244052i | ||||
\(101\) | 1.14590 | + | 8.70397i | 0.114021 | + | 0.866077i | 0.948885 | + | 0.315621i | \(0.102213\pi\) |
−0.834864 | + | 0.550456i | \(0.814454\pi\) | |||||||
\(102\) | 20.3130 | + | 17.0731i | 2.01129 | + | 1.69049i | ||||
\(103\) | 16.7898 | − | 4.49881i | 1.65435 | − | 0.443281i | 0.693521 | − | 0.720437i | \(-0.256059\pi\) |
0.960825 | + | 0.277156i | \(0.0893918\pi\) | |||||||
\(104\) | 5.44480 | − | 1.44455i | 0.533907 | − | 0.141650i | ||||
\(105\) | −19.6334 | + | 9.42183i | −1.91603 | + | 0.919476i | ||||
\(106\) | 4.54461 | − | 9.72508i | 0.441412 | − | 0.944583i | ||||
\(107\) | −1.12333 | − | 1.46395i | −0.108596 | − | 0.141526i | 0.735893 | − | 0.677098i | \(-0.236763\pi\) |
−0.844489 | + | 0.535572i | \(0.820096\pi\) | |||||||
\(108\) | 0.0790529 | + | 1.88159i | 0.00760687 | + | 0.181056i | ||||
\(109\) | −6.62330 | − | 5.08224i | −0.634398 | − | 0.486790i | 0.240788 | − | 0.970578i | \(-0.422594\pi\) |
−0.875186 | + | 0.483787i | \(0.839261\pi\) | |||||||
\(110\) | −2.86881 | − | 12.9909i | −0.273531 | − | 1.23863i | ||||
\(111\) | − | 11.1773i | − | 1.06090i | ||||||
\(112\) | 10.2435 | + | 2.65919i | 0.967917 | + | 0.251269i | ||||
\(113\) | − | 0.411718i | − | 0.0387312i | −0.999812 | − | 0.0193656i | \(-0.993835\pi\) | ||
0.999812 | − | 0.0193656i | \(-0.00616464\pi\) | |||||||
\(114\) | −5.66217 | + | 1.25039i | −0.530311 | + | 0.117110i | ||||
\(115\) | 12.8225 | + | 9.83902i | 1.19570 | + | 0.917494i | ||||
\(116\) | 0.334720 | − | 0.364079i | 0.0310780 | − | 0.0338039i | ||||
\(117\) | −3.15493 | − | 4.11159i | −0.291674 | − | 0.380116i | ||||
\(118\) | −1.84073 | − | 0.860189i | −0.169453 | − | 0.0791869i | ||||
\(119\) | 17.3131 | + | 11.8387i | 1.58709 | + | 1.08525i | ||||
\(120\) | 3.09565 | − | 23.0740i | 0.282593 | − | 2.10636i | ||||
\(121\) | −3.55670 | + | 0.953015i | −0.323336 | + | 0.0866377i | ||||
\(122\) | 5.06392 | − | 6.02488i | 0.458466 | − | 0.545467i | ||||
\(123\) | 0.359787 | + | 2.73286i | 0.0324409 | + | 0.246413i | ||||
\(124\) | −10.8627 | + | 15.4594i | −0.975499 | + | 1.38829i | ||||
\(125\) | 2.78580 | + | 6.72552i | 0.249170 | + | 0.601549i | ||||
\(126\) | −1.36996 | − | 9.63956i | −0.122046 | − | 0.858760i | ||||
\(127\) | −11.2634 | −0.999464 | −0.499732 | − | 0.866180i | \(-0.666568\pi\) | ||||
−0.499732 | + | 0.866180i | \(0.666568\pi\) | |||||||
\(128\) | −8.38518 | + | 7.59531i | −0.741153 | + | 0.671337i | ||||
\(129\) | −6.34894 | − | 10.9967i | −0.558993 | − | 0.968205i | ||||
\(130\) | −4.51559 | − | 8.69181i | −0.396044 | − | 0.762322i | ||||
\(131\) | −14.7315 | − | 1.93944i | −1.28710 | − | 0.169450i | −0.544257 | − | 0.838919i | \(-0.683188\pi\) |
−0.742840 | + | 0.669469i | \(0.766522\pi\) | |||||||
\(132\) | 12.7550 | + | 1.13705i | 1.11018 | + | 0.0989676i | ||||
\(133\) | −4.35561 | + | 1.42664i | −0.377680 | + | 0.123706i | ||||
\(134\) | −5.60426 | − | 15.4370i | −0.484134 | − | 1.33356i | ||||
\(135\) | 3.16297 | − | 0.847514i | 0.272225 | − | 0.0729424i | ||||
\(136\) | −20.7362 | + | 8.52937i | −1.77811 | + | 0.731387i | ||||
\(137\) | −6.28819 | − | 1.68492i | −0.537236 | − | 0.143952i | −0.0200085 | − | 0.999800i | \(-0.506369\pi\) |
−0.517228 | + | 0.855848i | \(0.673036\pi\) | |||||||
\(138\) | −12.7509 | + | 8.91263i | −1.08542 | + | 0.758694i | ||||
\(139\) | 0.00331720 | − | 0.00800842i | 0.000281361 | − | 0.000679266i | −0.923739 | − | 0.383023i | \(-0.874883\pi\) |
0.924020 | + | 0.382344i | \(0.124883\pi\) | |||||||
\(140\) | 0.628864 | − | 18.3907i | 0.0531487 | − | 1.55430i | ||||
\(141\) | −2.13308 | + | 0.883550i | −0.179638 | + | 0.0744083i | ||||
\(142\) | 1.60749 | − | 0.354986i | 0.134897 | − | 0.0297897i | ||||
\(143\) | 4.66584 | − | 2.69382i | 0.390177 | − | 0.225269i | ||||
\(144\) | 9.41895 | + | 4.42989i | 0.784912 | + | 0.369157i | ||||
\(145\) | −0.744722 | − | 0.429965i | −0.0618458 | − | 0.0357067i | ||||
\(146\) | −14.9614 | + | 13.6870i | −1.23821 | + | 1.13274i | ||||
\(147\) | −3.94407 | − | 16.0919i | −0.325302 | − | 1.32724i | ||||
\(148\) | 8.37040 | + | 4.37486i | 0.688043 | + | 0.359611i | ||||
\(149\) | −8.39232 | − | 10.9371i | −0.687525 | − | 0.896001i | 0.310993 | − | 0.950412i | \(-0.399338\pi\) |
−0.998519 | + | 0.0544116i | \(0.982672\pi\) | |||||||
\(150\) | −23.6548 | + | 2.04993i | −1.93140 | + | 0.167376i | ||||
\(151\) | 4.06949 | + | 1.09042i | 0.331170 | + | 0.0887368i | 0.420573 | − | 0.907259i | \(-0.361829\pi\) |
−0.0894026 | + | 0.995996i | \(0.528496\pi\) | |||||||
\(152\) | 1.27982 | − | 4.72966i | 0.103807 | − | 0.383626i | ||||
\(153\) | 14.5864 | + | 14.5864i | 1.17924 | + | 1.17924i | ||||
\(154\) | 10.1212 | − | 0.103988i | 0.815590 | − | 0.00837956i | ||||
\(155\) | 30.3520 | + | 12.5722i | 2.43793 | + | 1.00982i | ||||
\(156\) | 9.28736 | − | 1.62187i | 0.743584 | − | 0.129854i | ||||
\(157\) | 9.39972 | − | 12.2500i | 0.750180 | − | 0.977653i | −0.249777 | − | 0.968303i | \(-0.580357\pi\) |
0.999956 | − | 0.00934970i | \(-0.00297615\pi\) | |||||||
\(158\) | 0.547241 | − | 0.284304i | 0.0435362 | − | 0.0226180i | ||||
\(159\) | 8.98291 | − | 15.5589i | 0.712391 | − | 1.23390i | ||||
\(160\) | 16.0678 | + | 11.3495i | 1.27027 | + | 0.897258i | ||||
\(161\) | −9.33137 | + | 8.00806i | −0.735415 | + | 0.631123i | ||||
\(162\) | −0.630699 | + | 14.1779i | −0.0495524 | + | 1.11392i | ||||
\(163\) | 5.81892 | + | 0.766076i | 0.455773 | + | 0.0600037i | 0.354918 | − | 0.934897i | \(-0.384509\pi\) |
0.100855 | + | 0.994901i | \(0.467842\pi\) | |||||||
\(164\) | −2.18739 | − | 0.800218i | −0.170806 | − | 0.0624865i | ||||
\(165\) | −2.90630 | − | 22.0755i | −0.226255 | − | 1.71858i | ||||
\(166\) | 2.32157 | − | 13.1033i | 0.180189 | − | 1.01701i | ||||
\(167\) | −3.20407 | − | 3.20407i | −0.247938 | − | 0.247938i | 0.572186 | − | 0.820124i | \(-0.306096\pi\) |
−0.820124 | + | 0.572186i | \(0.806096\pi\) | |||||||
\(168\) | 16.6957 | + | 5.91406i | 1.28810 | + | 0.456280i | ||||
\(169\) | −6.38760 | + | 6.38760i | −0.491354 | + | 0.491354i | ||||
\(170\) | 22.3355 | + | 31.9543i | 1.71305 | + | 2.45078i | ||||
\(171\) | −4.46924 | + | 0.588386i | −0.341771 | + | 0.0449950i | ||||
\(172\) | 10.7201 | − | 0.450395i | 0.817403 | − | 0.0343423i | ||||
\(173\) | −2.02443 | + | 15.3771i | −0.153915 | + | 1.16910i | 0.723832 | + | 0.689976i | \(0.242379\pi\) |
−0.877747 | + | 0.479124i | \(0.840954\pi\) | |||||||
\(174\) | 0.610719 | − | 0.558698i | 0.0462985 | − | 0.0423548i | ||||
\(175\) | −18.4448 | + | 3.46376i | −1.39429 | + | 0.261835i | ||||
\(176\) | −5.84388 | + | 9.10683i | −0.440499 | + | 0.686453i | ||||
\(177\) | −2.94493 | − | 1.70026i | −0.221354 | − | 0.127799i | ||||
\(178\) | −3.06675 | + | 9.69870i | −0.229863 | + | 0.726948i | ||||
\(179\) | 6.63005 | + | 5.08741i | 0.495553 | + | 0.380251i | 0.826087 | − | 0.563543i | \(-0.190562\pi\) |
−0.330534 | + | 0.943794i | \(0.607229\pi\) | |||||||
\(180\) | 3.94624 | − | 17.6629i | 0.294135 | − | 1.31651i | ||||
\(181\) | −6.21583 | + | 15.0064i | −0.462019 | + | 1.11541i | 0.505548 | + | 0.862799i | \(0.331290\pi\) |
−0.967567 | + | 0.252615i | \(0.918710\pi\) | |||||||
\(182\) | 7.17786 | − | 2.00256i | 0.532059 | − | 0.148440i | ||||
\(183\) | 9.31413 | − | 9.31413i | 0.688520 | − | 0.688520i | ||||
\(184\) | −1.68369 | − | 13.0372i | −0.124123 | − | 0.961117i | ||||
\(185\) | 4.25039 | − | 15.8627i | 0.312495 | − | 1.16625i | ||||
\(186\) | −20.3462 | + | 24.2073i | −1.49186 | + | 1.77496i | ||||
\(187\) | −17.0131 | + | 13.0546i | −1.24412 | + | 0.954650i | ||||
\(188\) | 0.173230 | − | 1.94323i | 0.0126341 | − | 0.141725i | ||||
\(189\) | 0.136279 | + | 2.48757i | 0.00991282 | + | 0.180944i | ||||
\(190\) | −8.51115 | − | 0.378615i | −0.617464 | − | 0.0274676i | ||||
\(191\) | −7.87208 | + | 13.6348i | −0.569604 | + | 0.986583i | 0.427001 | + | 0.904251i | \(0.359570\pi\) |
−0.996605 | + | 0.0823317i | \(0.973763\pi\) | |||||||
\(192\) | −15.0789 | + | 11.4527i | −1.08823 | + | 0.826530i | ||||
\(193\) | 7.16214 | + | 12.4052i | 0.515542 | + | 0.892945i | 0.999837 | + | 0.0180405i | \(0.00574277\pi\) |
−0.484295 | + | 0.874905i | \(0.660924\pi\) | |||||||
\(194\) | 6.85122 | − | 10.7348i | 0.491889 | − | 0.770712i | ||||
\(195\) | −6.27333 | − | 15.1452i | −0.449243 | − | 1.08457i | ||||
\(196\) | 13.5946 | + | 3.34485i | 0.971040 | + | 0.238918i | ||||
\(197\) | 8.63148 | + | 3.57528i | 0.614967 | + | 0.254728i | 0.668351 | − | 0.743846i | \(-0.267001\pi\) |
−0.0533834 | + | 0.998574i | \(0.517001\pi\) | |||||||
\(198\) | 9.80234 | + | 1.73673i | 0.696622 | + | 0.123424i | ||||
\(199\) | 2.44416 | − | 9.12172i | 0.173262 | − | 0.646622i | −0.823579 | − | 0.567201i | \(-0.808026\pi\) |
0.996841 | − | 0.0794207i | \(-0.0253070\pi\) | |||||||
\(200\) | 7.72345 | − | 18.5168i | 0.546130 | − | 1.30933i | ||||
\(201\) | −7.11390 | − | 26.5494i | −0.501776 | − | 1.87265i | ||||
\(202\) | −11.2479 | − | 5.25626i | −0.791402 | − | 0.369829i | ||||
\(203\) | 0.436621 | − | 0.487234i | 0.0306448 | − | 0.0341971i | ||||
\(204\) | −35.8079 | + | 11.2255i | −2.50705 | + | 0.785942i | ||||
\(205\) | −0.528616 | + | 4.01524i | −0.0369202 | + | 0.280437i | ||||
\(206\) | −7.41120 | + | 23.4381i | −0.516363 | + | 1.63301i | ||||
\(207\) | −10.4736 | + | 6.04696i | −0.727969 | + | 0.420293i | ||||
\(208\) | −2.42054 | + | 7.58987i | −0.167834 | + | 0.526263i | ||||
\(209\) | − | 4.68620i | − | 0.324151i | ||||||
\(210\) | 3.70597 | − | 30.5737i | 0.255736 | − | 2.10978i | ||||
\(211\) | 10.7623 | − | 4.45790i | 0.740908 | − | 0.306894i | 0.0198823 | − | 0.999802i | \(-0.493671\pi\) |
0.721026 | + | 0.692908i | \(0.243671\pi\) | |||||||
\(212\) | 8.13566 | + | 12.8169i | 0.558759 | + | 0.880267i | ||||
\(213\) | 2.73161 | − | 0.359624i | 0.187167 | − | 0.0246410i | ||||
\(214\) | 2.59986 | − | 0.225305i | 0.177723 | − | 0.0154015i | ||||
\(215\) | −4.82861 | − | 18.0206i | −0.329309 | − | 1.22900i | ||||
\(216\) | −2.30321 | − | 1.33734i | −0.156713 | − | 0.0909946i | ||||
\(217\) | −14.1083 | + | 20.6323i | −0.957734 | + | 1.40061i | ||||
\(218\) | 11.0978 | − | 4.02896i | 0.751641 | − | 0.272875i | ||||
\(219\) | −26.9243 | + | 20.6597i | −1.81937 | + | 1.39606i | ||||
\(220\) | 17.6693 | + | 6.46402i | 1.19126 | + | 0.435804i | ||||
\(221\) | −9.61129 | + | 12.5257i | −0.646525 | + | 0.842568i | ||||
\(222\) | 13.3246 | + | 8.50412i | 0.894289 | + | 0.570759i | ||||
\(223\) | −20.9534 | −1.40315 | −0.701573 | − | 0.712597i | \(-0.747519\pi\) | ||||
−0.701573 | + | 0.712597i | \(0.747519\pi\) | |||||||
\(224\) | −10.9637 | + | 10.1881i | −0.732540 | + | 0.680724i | ||||
\(225\) | −18.4580 | −1.23054 | ||||||||
\(226\) | 0.490813 | + | 0.313250i | 0.0326484 | + | 0.0208371i | ||||
\(227\) | 0.300327 | − | 0.391394i | 0.0199334 | − | 0.0259777i | −0.783280 | − | 0.621669i | \(-0.786455\pi\) |
0.803214 | + | 0.595691i | \(0.203122\pi\) | |||||||
\(228\) | 2.81738 | − | 7.70128i | 0.186586 | − | 0.510030i | ||||
\(229\) | 13.0467 | − | 10.0111i | 0.862152 | − | 0.661552i | −0.0799794 | − | 0.996797i | \(-0.525485\pi\) |
0.942131 | + | 0.335244i | \(0.108819\pi\) | |||||||
\(230\) | −21.4850 | + | 7.79991i | −1.41668 | + | 0.514311i | ||||
\(231\) | 16.8911 | + | 1.28910i | 1.11135 | + | 0.0848163i | ||||
\(232\) | 0.179356 | + | 0.676028i | 0.0117753 | + | 0.0443834i | ||||
\(233\) | −3.09783 | − | 11.5613i | −0.202946 | − | 0.757404i | −0.990066 | − | 0.140604i | \(-0.955095\pi\) |
0.787120 | − | 0.616800i | \(-0.211571\pi\) | |||||||
\(234\) | 7.30186 | − | 0.632782i | 0.477337 | − | 0.0413662i | ||||
\(235\) | −3.36322 | + | 0.442776i | −0.219392 | + | 0.0288835i | ||||
\(236\) | 2.42594 | − | 1.53989i | 0.157915 | − | 0.100238i | ||||
\(237\) | 0.953548 | − | 0.394973i | 0.0619396 | − | 0.0256562i | ||||
\(238\) | −27.2854 | + | 11.6318i | −1.76865 | + | 0.753980i | ||||
\(239\) | 21.1899i | 1.37066i | 0.728234 | + | 0.685329i | \(0.240342\pi\) | ||||
−0.728234 | + | 0.685329i | \(0.759658\pi\) | |||||||
\(240\) | 25.1514 | + | 21.2459i | 1.62352 | + | 1.37142i | ||||
\(241\) | −2.64873 | + | 1.52924i | −0.170620 | + | 0.0985073i | −0.582878 | − | 0.812560i | \(-0.698073\pi\) |
0.412258 | + | 0.911067i | \(0.364740\pi\) | |||||||
\(242\) | 1.56997 | − | 4.96507i | 0.100921 | − | 0.319167i | ||||
\(243\) | −2.73157 | + | 20.7484i | −0.175231 | + | 1.33101i | ||||
\(244\) | 3.32951 | + | 10.6207i | 0.213150 | + | 0.679921i | ||||
\(245\) | 0.521906 | − | 24.3372i | 0.0333433 | − | 1.55485i | ||||
\(246\) | −3.53161 | − | 1.65035i | −0.225167 | − | 0.105222i | ||||
\(247\) | −0.892963 | − | 3.33258i | −0.0568179 | − | 0.212047i | ||||
\(248\) | −10.1646 | − | 24.7116i | −0.645450 | − | 1.56919i | ||||
\(249\) | 5.76436 | − | 21.5129i | 0.365302 | − | 1.36332i | ||||
\(250\) | −10.1371 | − | 1.79604i | −0.641127 | − | 0.113591i | ||||
\(251\) | −1.84890 | − | 0.765839i | −0.116701 | − | 0.0483393i | 0.323569 | − | 0.946205i | \(-0.395117\pi\) |
−0.440270 | + | 0.897865i | \(0.645117\pi\) | |||||||
\(252\) | 12.5337 | + | 5.70098i | 0.789551 | + | 0.359128i | ||||
\(253\) | −4.81130 | − | 11.6155i | −0.302484 | − | 0.730261i | ||||
\(254\) | 8.56960 | − | 13.4272i | 0.537705 | − | 0.842498i | ||||
\(255\) | 32.6248 | + | 56.5078i | 2.04304 | + | 3.53866i | ||||
\(256\) | −2.67469 | − | 15.7749i | −0.167168 | − | 0.985928i | ||||
\(257\) | −4.12526 | + | 7.14516i | −0.257327 | + | 0.445703i | −0.965525 | − | 0.260311i | \(-0.916175\pi\) |
0.708198 | + | 0.706014i | \(0.249508\pi\) | |||||||
\(258\) | 17.9398 | + | 0.798043i | 1.11688 | + | 0.0496840i | ||||
\(259\) | 11.1458 | + | 5.64586i | 0.692568 | + | 0.350817i | ||||
\(260\) | 13.7972 | + | 1.22996i | 0.855668 | + | 0.0762789i | ||||
\(261\) | 0.510496 | − | 0.391718i | 0.0315989 | − | 0.0242467i | ||||
\(262\) | 13.5203 | − | 16.0860i | 0.835286 | − | 0.993795i | ||||
\(263\) | −2.34212 | + | 8.74090i | −0.144421 | + | 0.538987i | 0.855359 | + | 0.518035i | \(0.173336\pi\) |
−0.999780 | + | 0.0209518i | \(0.993330\pi\) | |||||||
\(264\) | −11.0600 | + | 14.3403i | −0.680694 | + | 0.882582i | ||||
\(265\) | 18.6650 | − | 18.6650i | 1.14658 | − | 1.14658i | ||||
\(266\) | 1.61319 | − | 6.27781i | 0.0989113 | − | 0.384917i | ||||
\(267\) | −6.51492 | + | 15.7284i | −0.398707 | + | 0.962563i | ||||
\(268\) | 22.6666 | + | 5.06417i | 1.38458 | + | 0.309343i | ||||
\(269\) | 4.43119 | + | 3.40017i | 0.270174 | + | 0.207312i | 0.734959 | − | 0.678112i | \(-0.237201\pi\) |
−0.464784 | + | 0.885424i | \(0.653868\pi\) | |||||||
\(270\) | −1.39617 | + | 4.41542i | −0.0849682 | + | 0.268714i | ||||
\(271\) | 5.37806 | + | 3.10502i | 0.326694 | + | 0.188617i | 0.654372 | − | 0.756173i | \(-0.272933\pi\) |
−0.327678 | + | 0.944789i | \(0.606266\pi\) | |||||||
\(272\) | 5.60891 | − | 31.2093i | 0.340090 | − | 1.89234i | ||||
\(273\) | 12.2577 | − | 2.30188i | 0.741870 | − | 0.139316i | ||||
\(274\) | 6.79289 | − | 6.21427i | 0.410373 | − | 0.375418i | ||||
\(275\) | 2.50460 | − | 19.0244i | 0.151033 | − | 1.14721i | ||||
\(276\) | −0.923528 | − | 21.9815i | −0.0555899 | − | 1.32313i | ||||
\(277\) | −4.95715 | + | 0.652622i | −0.297846 | + | 0.0392122i | −0.277969 | − | 0.960590i | \(-0.589661\pi\) |
−0.0198780 | + | 0.999802i | \(0.506328\pi\) | |||||||
\(278\) | 0.00702308 | + | 0.0100476i | 0.000421216 | + | 0.000602613i | ||||
\(279\) | −17.3828 | + | 17.3828i | −1.04068 | + | 1.04068i | ||||
\(280\) | 21.4453 | + | 14.7420i | 1.28160 | + | 0.881002i | ||||
\(281\) | 12.7750 | + | 12.7750i | 0.762093 | + | 0.762093i | 0.976700 | − | 0.214607i | \(-0.0688472\pi\) |
−0.214607 | + | 0.976700i | \(0.568847\pi\) | |||||||
\(282\) | 0.569635 | − | 3.21510i | 0.0339213 | − | 0.191457i | ||||
\(283\) | −2.65472 | − | 20.1646i | −0.157806 | − | 1.19866i | −0.868693 | − | 0.495352i | \(-0.835039\pi\) |
0.710886 | − | 0.703307i | \(-0.248294\pi\) | |||||||
\(284\) | −0.799854 | + | 2.18639i | −0.0474626 | + | 0.129738i | ||||
\(285\) | −14.1367 | − | 1.86114i | −0.837388 | − | 0.110244i | ||||
\(286\) | −0.338605 | + | 7.61175i | −0.0200222 | + | 0.450092i | ||||
\(287\) | −2.90689 | − | 1.02164i | −0.171588 | − | 0.0603055i | ||||
\(288\) | −12.4472 | + | 7.85800i | −0.733458 | + | 0.463037i | ||||
\(289\) | 22.9213 | − | 39.7008i | 1.34831 | − | 2.33534i | ||||
\(290\) | 1.07918 | − | 0.560658i | 0.0633715 | − | 0.0329229i | ||||
\(291\) | 12.9748 | − | 16.9091i | 0.760598 | − | 0.991231i | ||||
\(292\) | −4.93323 | − | 28.2492i | −0.288695 | − | 1.65316i | ||||
\(293\) | −23.9894 | − | 9.93674i | −1.40148 | − | 0.580510i | −0.451341 | − | 0.892351i | \(-0.649054\pi\) |
−0.950134 | + | 0.311841i | \(0.899054\pi\) | |||||||
\(294\) | 22.1842 | + | 7.54157i | 1.29381 | + | 0.439833i | ||||
\(295\) | −3.53284 | − | 3.53284i | −0.205690 | − | 0.205690i | ||||
\(296\) | −11.5838 | + | 6.64989i | −0.673296 | + | 0.386517i | ||||
\(297\) | −2.46044 | − | 0.659273i | −0.142769 | − | 0.0382549i | ||||
\(298\) | 19.4234 | − | 1.68324i | 1.12517 | − | 0.0975074i | ||||
\(299\) | −5.63491 | − | 7.34355i | −0.325875 | − | 0.424689i | ||||
\(300\) | 15.5537 | − | 29.7587i | 0.897991 | − | 1.71812i | ||||
\(301\) | 14.1727 | − | 0.776433i | 0.816899 | − | 0.0447528i | ||||
\(302\) | −4.39611 | + | 4.02165i | −0.252968 | + | 0.231420i | ||||
\(303\) | −17.9952 | − | 10.3895i | −1.03380 | − | 0.596864i | ||||
\(304\) | 4.66455 | + | 5.12418i | 0.267530 | + | 0.293892i | ||||
\(305\) | 16.7603 | − | 9.67659i | 0.959694 | − | 0.554080i | ||||
\(306\) | −28.4864 | + | 6.29072i | −1.62846 | + | 0.359617i | ||||
\(307\) | −1.52272 | + | 0.630732i | −0.0869063 | + | 0.0359978i | −0.425713 | − | 0.904858i | \(-0.639977\pi\) |
0.338807 | + | 0.940856i | \(0.389977\pi\) | |||||||
\(308\) | −7.57662 | + | 12.1447i | −0.431718 | + | 0.692009i | ||||
\(309\) | −15.7441 | + | 38.0097i | −0.895653 | + | 2.16230i | ||||
\(310\) | −38.0803 | + | 26.6175i | −2.16282 | + | 1.51177i | ||||
\(311\) | −22.4323 | − | 6.01071i | −1.27202 | − | 0.340836i | −0.441214 | − | 0.897402i | \(-0.645452\pi\) |
−0.830804 | + | 0.556566i | \(0.812119\pi\) | |||||||
\(312\) | −5.13271 | + | 12.3055i | −0.290583 | + | 0.696664i | ||||
\(313\) | 15.0729 | − | 4.03878i | 0.851971 | − | 0.228285i | 0.193695 | − | 0.981062i | \(-0.437953\pi\) |
0.658276 | + | 0.752777i | \(0.271286\pi\) | |||||||
\(314\) | 7.45165 | + | 20.5257i | 0.420521 | + | 1.15833i | ||||
\(315\) | 4.92229 | − | 23.4304i | 0.277339 | − | 1.32015i | ||||
\(316\) | −0.0774390 | + | 0.868681i | −0.00435629 | + | 0.0488671i | ||||
\(317\) | 7.27433 | + | 0.957684i | 0.408567 | + | 0.0537889i | 0.332009 | − | 0.943276i | \(-0.392274\pi\) |
0.0765581 | + | 0.997065i | \(0.475607\pi\) | |||||||
\(318\) | 11.7134 | + | 22.5464i | 0.656852 | + | 1.26434i | ||||
\(319\) | 0.334466 | + | 0.579312i | 0.0187265 | + | 0.0324352i | ||||
\(320\) | −25.7549 | + | 10.5195i | −1.43974 | + | 0.588058i | ||||
\(321\) | 4.36755 | 0.243773 | ||||||||
\(322\) | −2.44684 | − | 17.2169i | −0.136357 | − | 0.959458i | ||||
\(323\) | 5.25528 | + | 12.6874i | 0.292412 | + | 0.705944i | ||||
\(324\) | −16.4218 | − | 11.5390i | −0.912322 | − | 0.641053i | ||||
\(325\) | −1.84398 | − | 14.0064i | −0.102285 | − | 0.776935i | ||||
\(326\) | −5.34050 | + | 6.35394i | −0.295783 | + | 0.351912i | ||||
\(327\) | 19.0867 | − | 5.11426i | 1.05549 | − | 0.282819i | ||||
\(328\) | 2.61819 | − | 1.99877i | 0.144565 | − | 0.110364i | ||||
\(329\) | 0.196395 | − | 2.57336i | 0.0108276 | − | 0.141874i | ||||
\(330\) | 28.5277 | + | 13.3312i | 1.57040 | + | 0.733860i | ||||
\(331\) | −0.486928 | − | 0.634576i | −0.0267640 | − | 0.0348795i | 0.779780 | − | 0.626054i | \(-0.215331\pi\) |
−0.806544 | + | 0.591175i | \(0.798664\pi\) | |||||||
\(332\) | 13.8542 | + | 12.7370i | 0.760350 | + | 0.699035i | ||||
\(333\) | 9.74904 | + | 7.48070i | 0.534244 | + | 0.409940i | ||||
\(334\) | 6.25738 | − | 1.38183i | 0.342389 | − | 0.0756105i | ||||
\(335\) | − | 40.3837i | − | 2.20640i | ||||||
\(336\) | −19.7529 | + | 15.4034i | −1.07761 | + | 0.840327i | ||||
\(337\) | − | 31.5554i | − | 1.71893i | −0.511193 | − | 0.859466i | \(-0.670796\pi\) | ||
0.511193 | − | 0.859466i | \(-0.329204\pi\) | |||||||
\(338\) | −2.75481 | − | 12.4746i | −0.149842 | − | 0.678531i | ||||
\(339\) | 0.773116 | + | 0.593232i | 0.0419899 | + | 0.0322200i | ||||
\(340\) | −55.0867 | + | 2.31441i | −2.98750 | + | 0.125516i | ||||
\(341\) | −15.5574 | − | 20.2748i | −0.842480 | − | 1.09794i | ||||
\(342\) | 2.69894 | − | 5.77549i | 0.145942 | − | 0.312303i | ||||
\(343\) | 18.0388 | + | 4.19536i | 0.974005 | + | 0.226528i | ||||
\(344\) | −7.61935 | + | 13.1223i | −0.410808 | + | 0.707505i | ||||
\(345\) | −36.9510 | + | 9.90100i | −1.98938 | + | 0.533052i | ||||
\(346\) | −16.7910 | − | 14.1128i | −0.902687 | − | 0.758710i | ||||
\(347\) | −4.20229 | − | 31.9196i | −0.225591 | − | 1.71353i | −0.611708 | − | 0.791084i | \(-0.709517\pi\) |
0.386117 | − | 0.922450i | \(-0.373816\pi\) | |||||||
\(348\) | 0.201372 | + | 1.15312i | 0.0107947 | + | 0.0618139i | ||||
\(349\) | 12.9498 | + | 31.2635i | 0.693185 | + | 1.67350i | 0.738264 | + | 0.674512i | \(0.235646\pi\) |
−0.0450790 | + | 0.998983i | \(0.514354\pi\) | |||||||
\(350\) | 9.90427 | − | 24.6236i | 0.529406 | − | 1.31618i | ||||
\(351\) | −1.87536 | −0.100099 | ||||||||
\(352\) | −6.41012 | − | 13.8954i | −0.341660 | − | 0.740625i | ||||
\(353\) | 16.4146 | + | 28.4310i | 0.873664 | + | 1.51323i | 0.858180 | + | 0.513350i | \(0.171596\pi\) |
0.0154841 | + | 0.999880i | \(0.495071\pi\) | |||||||
\(354\) | 4.26750 | − | 2.21706i | 0.226815 | − | 0.117836i | ||||
\(355\) | 4.01341 | + | 0.528376i | 0.213010 | + | 0.0280433i | ||||
\(356\) | −9.22862 | − | 11.0350i | −0.489116 | − | 0.584856i | ||||
\(357\) | −47.1764 | + | 15.4522i | −2.49684 | + | 0.817817i | ||||
\(358\) | −11.1091 | + | 4.03306i | −0.587136 | + | 0.213154i | ||||
\(359\) | −29.7349 | + | 7.96745i | −1.56935 | + | 0.420506i | −0.935608 | − | 0.353040i | \(-0.885148\pi\) |
−0.633741 | + | 0.773546i | \(0.718481\pi\) | |||||||
\(360\) | 18.0536 | + | 18.1429i | 0.951510 | + | 0.956215i | ||||
\(361\) | 15.4539 | + | 4.14086i | 0.813363 | + | 0.217940i | ||||
\(362\) | −13.1600 | − | 18.8273i | −0.691674 | − | 0.989543i | ||||
\(363\) | 3.33520 | − | 8.05187i | 0.175052 | − | 0.422614i | ||||
\(364\) | −3.07391 | + | 10.0804i | −0.161116 | + | 0.528358i | ||||
\(365\) | −46.0668 | + | 19.0815i | −2.41125 | + | 0.998770i | ||||
\(366\) | 4.01694 | + | 18.1900i | 0.209969 | + | 0.950807i | ||||
\(367\) | 4.58516 | − | 2.64724i | 0.239343 | − | 0.138185i | −0.375532 | − | 0.926810i | \(-0.622540\pi\) |
0.614875 | + | 0.788625i | \(0.289207\pi\) | |||||||
\(368\) | 16.8228 | + | 7.91206i | 0.876950 | + | 0.412444i | ||||
\(369\) | −2.62444 | − | 1.51522i | −0.136623 | − | 0.0788791i | ||||
\(370\) | 15.6762 | + | 17.1358i | 0.814967 | + | 0.890850i | ||||
\(371\) | 10.9776 | + | 16.8167i | 0.569928 | + | 0.873077i | ||||
\(372\) | −13.3776 | − | 42.6727i | −0.693595 | − | 2.21248i | ||||
\(373\) | 7.79880 | + | 10.1636i | 0.403807 | + | 0.526251i | 0.950351 | − | 0.311179i | \(-0.100724\pi\) |
−0.546545 | + | 0.837430i | \(0.684057\pi\) | |||||||
\(374\) | −2.61836 | − | 30.2140i | −0.135392 | − | 1.56233i | ||||
\(375\) | −16.6430 | − | 4.45948i | −0.859442 | − | 0.230287i | ||||
\(376\) | 2.18475 | + | 1.68499i | 0.112670 | + | 0.0868968i | ||||
\(377\) | 0.348244 | + | 0.348244i | 0.0179355 | + | 0.0179355i | ||||
\(378\) | −3.06915 | − | 1.73018i | −0.157860 | − | 0.0889907i | ||||
\(379\) | −5.09850 | − | 2.11187i | −0.261892 | − | 0.108479i | 0.247874 | − | 0.968792i | \(-0.420268\pi\) |
−0.509766 | + | 0.860313i | \(0.670268\pi\) | |||||||
\(380\) | 6.92695 | − | 9.85817i | 0.355345 | − | 0.505713i | ||||
\(381\) | 16.2291 | − | 21.1502i | 0.831442 | − | 1.08356i | ||||
\(382\) | −10.2649 | − | 19.7583i | −0.525197 | − | 1.01092i | ||||
\(383\) | 3.57816 | − | 6.19756i | 0.182836 | − | 0.316681i | −0.760009 | − | 0.649912i | \(-0.774806\pi\) |
0.942845 | + | 0.333231i | \(0.108139\pi\) | |||||||
\(384\) | −2.18035 | − | 26.6894i | −0.111265 | − | 1.36199i | ||||
\(385\) | 23.4813 | + | 8.25262i | 1.19672 | + | 0.420592i | ||||
\(386\) | −20.2376 | − | 0.900259i | −1.03007 | − | 0.0458220i | ||||
\(387\) | 13.8407 | + | 1.82216i | 0.703561 | + | 0.0926256i | ||||
\(388\) | 7.58439 | + | 16.3348i | 0.385039 | + | 0.829275i | ||||
\(389\) | 0.357906 | + | 2.71857i | 0.0181466 | + | 0.137837i | 0.998120 | − | 0.0612920i | \(-0.0195221\pi\) |
−0.979973 | + | 0.199129i | \(0.936189\pi\) | |||||||
\(390\) | 22.8277 | + | 4.04449i | 1.15593 | + | 0.204801i | ||||
\(391\) | 26.0522 | + | 26.0522i | 1.31751 | + | 1.31751i | ||||
\(392\) | −14.3307 | + | 13.6613i | −0.723808 | + | 0.690001i | ||||
\(393\) | 24.8680 | − | 24.8680i | 1.25443 | − | 1.25443i | ||||
\(394\) | −10.8293 | + | 7.56948i | −0.545571 | + | 0.381345i | ||||
\(395\) | 1.50346 | − | 0.197934i | 0.0756471 | − | 0.00995913i | ||||
\(396\) | −9.52835 | + | 10.3641i | −0.478818 | + | 0.520816i | ||||
\(397\) | 0.537590 | − | 4.08340i | 0.0269809 | − | 0.204940i | −0.972645 | − | 0.232297i | \(-0.925376\pi\) |
0.999626 | + | 0.0273571i | \(0.00870912\pi\) | |||||||
\(398\) | 9.01450 | + | 9.85385i | 0.451856 | + | 0.493929i | ||||
\(399\) | 3.59696 | − | 10.2345i | 0.180073 | − | 0.512365i | ||||
\(400\) | 16.1978 | + | 23.2954i | 0.809888 | + | 1.16477i | ||||
\(401\) | 30.4012 | + | 17.5522i | 1.51817 | + | 0.876513i | 0.999772 | + | 0.0213718i | \(0.00680336\pi\) |
0.518394 | + | 0.855142i | \(0.326530\pi\) | |||||||
\(402\) | 37.0624 | + | 11.7192i | 1.84850 | + | 0.584502i | ||||
\(403\) | −14.9270 | − | 11.4539i | −0.743567 | − | 0.570559i | ||||
\(404\) | 14.8239 | − | 9.40963i | 0.737516 | − | 0.468146i | ||||
\(405\) | −13.3549 | + | 32.2415i | −0.663609 | + | 1.60209i | ||||
\(406\) | 0.248639 | + | 0.891206i | 0.0123397 | + | 0.0442298i | ||||
\(407\) | −9.03308 | + | 9.03308i | −0.447753 | + | 0.447753i | ||||
\(408\) | 13.8619 | − | 51.2277i | 0.686267 | − | 2.53615i | ||||
\(409\) | 2.50492 | − | 9.34849i | 0.123860 | − | 0.462253i | −0.875936 | − | 0.482427i | \(-0.839755\pi\) |
0.999796 | + | 0.0201740i | \(0.00642203\pi\) | |||||||
\(410\) | −4.38442 | − | 3.68511i | −0.216531 | − | 0.181995i | ||||
\(411\) | 12.2244 | − | 9.38009i | 0.602984 | − | 0.462686i | ||||
\(412\) | −22.3021 | − | 26.6676i | −1.09875 | − | 1.31382i | ||||
\(413\) | 3.18300 | − | 2.07780i | 0.156625 | − | 0.102242i | ||||
\(414\) | 0.760085 | − | 17.0865i | 0.0373561 | − | 0.839755i | ||||
\(415\) | 16.3614 | − | 28.3387i | 0.803148 | − | 1.39109i | ||||
\(416\) | −7.20633 | − | 8.66020i | −0.353319 | − | 0.424601i | ||||
\(417\) | 0.0102584 | + | 0.0177681i | 0.000502356 | + | 0.000870107i | ||||
\(418\) | 5.58647 | + | 3.56543i | 0.273243 | + | 0.174391i | ||||
\(419\) | −3.83604 | − | 9.26102i | −0.187403 | − | 0.452430i | 0.802055 | − | 0.597250i | \(-0.203740\pi\) |
−0.989458 | + | 0.144819i | \(0.953740\pi\) | |||||||
\(420\) | 33.6276 | + | 27.6795i | 1.64086 | + | 1.35062i | ||||
\(421\) | 21.6933 | + | 8.98568i | 1.05727 | + | 0.437935i | 0.842481 | − | 0.538726i | \(-0.181094\pi\) |
0.214788 | + | 0.976661i | \(0.431094\pi\) | |||||||
\(422\) | −2.87406 | + | 16.2216i | −0.139907 | + | 0.789655i | ||||
\(423\) | 0.656969 | − | 2.45184i | 0.0319429 | − | 0.119213i | ||||
\(424\) | −21.4690 | − | 0.0529434i | −1.04263 | − | 0.00257116i | ||||
\(425\) | 14.5537 | + | 54.3151i | 0.705958 | + | 2.63467i | ||||
\(426\) | −1.64960 | + | 3.53000i | −0.0799234 | + | 0.171029i | ||||
\(427\) | 4.58316 | + | 13.9926i | 0.221794 | + | 0.677150i | ||||
\(428\) | −1.70948 | + | 3.27074i | −0.0826309 | + | 0.158097i | ||||
\(429\) | −1.66446 | + | 12.6429i | −0.0803611 | + | 0.610403i | ||||
\(430\) | 25.1564 | + | 7.95452i | 1.21315 | + | 0.383601i | ||||
\(431\) | −21.6047 | + | 12.4735i | −1.04066 | + | 0.600827i | −0.920021 | − | 0.391869i | \(-0.871829\pi\) |
−0.120642 | + | 0.992696i | \(0.538495\pi\) | |||||||
\(432\) | 3.34662 | − | 1.72818i | 0.161015 | − | 0.0831471i | ||||
\(433\) | 27.3257i | 1.31319i | 0.754243 | + | 0.656596i | \(0.228004\pi\) | ||||
−0.754243 | + | 0.656596i | \(0.771996\pi\) | |||||||
\(434\) | −13.8618 | − | 32.5164i | −0.665389 | − | 1.56084i | ||||
\(435\) | 1.88043 | − | 0.778899i | 0.0901597 | − | 0.0373454i | ||||
\(436\) | −3.64068 | + | 16.2952i | −0.174357 | + | 0.780400i | ||||
\(437\) | −7.98234 | + | 1.05089i | −0.381847 | + | 0.0502711i | ||||
\(438\) | −4.14370 | − | 47.8154i | −0.197994 | − | 2.28471i | ||||
\(439\) | 0.645658 | + | 2.40963i | 0.0308156 | + | 0.115005i | 0.979621 | − | 0.200857i | \(-0.0643728\pi\) |
−0.948805 | + | 0.315863i | \(0.897706\pi\) | |||||||
\(440\) | −21.1493 | + | 16.1457i | −1.00825 | + | 0.769716i | ||||
\(441\) | 16.6753 | + | 7.32985i | 0.794062 | + | 0.349040i | ||||
\(442\) | −7.61937 | − | 20.9877i | −0.362416 | − | 0.998283i | ||||
\(443\) | −16.3557 | + | 12.5501i | −0.777081 | + | 0.596275i | −0.919299 | − | 0.393560i | \(-0.871243\pi\) |
0.142218 | + | 0.989835i | \(0.454577\pi\) | |||||||
\(444\) | −20.2757 | + | 9.41416i | −0.962242 | + | 0.446776i | ||||
\(445\) | −15.2269 | + | 19.8441i | −0.721825 | + | 0.940700i | ||||
\(446\) | 15.9422 | − | 24.9788i | 0.754883 | − | 1.18278i | ||||
\(447\) | 32.6297 | 1.54333 | ||||||||
\(448\) | −3.80385 | − | 20.8214i | −0.179715 | − | 0.983719i | ||||
\(449\) | −16.6657 | −0.786502 | −0.393251 | − | 0.919431i | \(-0.628650\pi\) | ||||
−0.393251 | + | 0.919431i | \(0.628650\pi\) | |||||||
\(450\) | 14.0435 | − | 22.0040i | 0.662019 | − | 1.03728i | ||||
\(451\) | 1.91782 | − | 2.49935i | 0.0903067 | − | 0.117690i | ||||
\(452\) | −0.746857 | + | 0.346772i | −0.0351292 | + | 0.0163108i | ||||
\(453\) | −7.91117 | + | 6.07045i | −0.371699 | + | 0.285215i | ||||
\(454\) | 0.238085 | + | 0.655810i | 0.0111739 | + | 0.0307787i | ||||
\(455\) | 18.2713 | + | 1.39443i | 0.856570 | + | 0.0653719i | ||||
\(456\) | 7.03721 | + | 9.21805i | 0.329548 | + | 0.431675i | ||||
\(457\) | −1.00153 | − | 3.73775i | −0.0468494 | − | 0.174844i | 0.938537 | − | 0.345179i | \(-0.112182\pi\) |
−0.985386 | + | 0.170335i | \(0.945515\pi\) | |||||||
\(458\) | 2.00792 | + | 23.1700i | 0.0938239 | + | 1.08266i | ||||
\(459\) | 7.40071 | − | 0.974321i | 0.345435 | − | 0.0454774i | ||||
\(460\) | 7.04822 | − | 31.5470i | 0.328625 | − | 1.47088i | ||||
\(461\) | 14.0710 | − | 5.82839i | 0.655351 | − | 0.271455i | −0.0301296 | − | 0.999546i | \(-0.509592\pi\) |
0.685481 | + | 0.728091i | \(0.259592\pi\) | |||||||
\(462\) | −14.3881 | + | 19.1552i | −0.669395 | + | 0.891182i | ||||
\(463\) | 25.2657i | 1.17420i | 0.809515 | + | 0.587099i | \(0.199730\pi\) | ||||
−0.809515 | + | 0.587099i | \(0.800270\pi\) | |||||||
\(464\) | −0.942361 | − | 0.300535i | −0.0437480 | − | 0.0139520i | ||||
\(465\) | −67.3411 | + | 38.8794i | −3.12287 | + | 1.80299i | ||||
\(466\) | 16.1393 | + | 5.10328i | 0.747637 | + | 0.236405i | ||||
\(467\) | 1.49931 | − | 11.3884i | 0.0693797 | − | 0.526991i | −0.921099 | − | 0.389327i | \(-0.872707\pi\) |
0.990479 | − | 0.137663i | \(-0.0439592\pi\) | |||||||
\(468\) | −4.80117 | + | 9.18606i | −0.221934 | + | 0.424626i | ||||
\(469\) | 30.0680 | + | 6.31673i | 1.38841 | + | 0.291679i | ||||
\(470\) | 2.03102 | − | 4.34621i | 0.0936840 | − | 0.200476i | ||||
\(471\) | 9.45894 | + | 35.3012i | 0.435845 | + | 1.62659i | ||||
\(472\) | −0.0100209 | + | 4.06359i | −0.000461251 | + | 0.187042i | ||||
\(473\) | −3.75613 | + | 14.0181i | −0.172707 | + | 0.644552i | ||||
\(474\) | −0.254643 | + | 1.43724i | −0.0116962 | + | 0.0660148i | ||||
\(475\) | −11.3526 | − | 4.70240i | −0.520893 | − | 0.215761i | ||||
\(476\) | 6.89332 | − | 41.3772i | 0.315955 | − | 1.89652i | ||||
\(477\) | 7.55865 | + | 18.2482i | 0.346087 | + | 0.835527i | ||||
\(478\) | −25.2606 | − | 16.1220i | −1.15540 | − | 0.737404i | ||||
\(479\) | 1.40022 | + | 2.42526i | 0.0639778 | + | 0.110813i | 0.896240 | − | 0.443569i | \(-0.146288\pi\) |
−0.832262 | + | 0.554382i | \(0.812955\pi\) | |||||||
\(480\) | −44.4636 | + | 13.8187i | −2.02947 | + | 0.630732i | ||||
\(481\) | −4.70259 | + | 8.14513i | −0.214420 | + | 0.371386i | ||||
\(482\) | 0.192221 | − | 4.32108i | 0.00875544 | − | 0.196820i | ||||
\(483\) | −1.59206 | − | 29.0608i | −0.0724414 | − | 1.32231i | ||||
\(484\) | 4.72442 | + | 5.64918i | 0.214746 | + | 0.256781i | ||||
\(485\) | 24.8437 | − | 19.0632i | 1.12809 | − | 0.865617i | ||||
\(486\) | −22.6561 | − | 19.0425i | −1.02770 | − | 0.863783i | ||||
\(487\) | −3.28151 | + | 12.2468i | −0.148699 | + | 0.554953i | 0.850863 | + | 0.525387i | \(0.176079\pi\) |
−0.999563 | + | 0.0295666i | \(0.990587\pi\) | |||||||
\(488\) | −15.1943 | − | 4.11148i | −0.687812 | − | 0.186118i | ||||
\(489\) | −9.82284 | + | 9.82284i | −0.444204 | + | 0.444204i | ||||
\(490\) | 28.6156 | + | 19.1388i | 1.29272 | + | 0.864604i | ||||
\(491\) | 15.7884 | − | 38.1167i | 0.712523 | − | 1.72018i | 0.0189236 | − | 0.999821i | \(-0.493976\pi\) |
0.693599 | − | 0.720361i | \(-0.256024\pi\) | |||||||
\(492\) | 4.65437 | − | 2.95442i | 0.209835 | − | 0.133195i | ||||
\(493\) | −1.55519 | − | 1.19334i | −0.0700423 | − | 0.0537454i | ||||
\(494\) | 4.65221 | + | 1.47104i | 0.209313 | + | 0.0661852i | ||||
\(495\) | 21.1997 | + | 12.2397i | 0.952857 | + | 0.550132i | ||||
\(496\) | 37.1925 | + | 6.68421i | 1.66999 | + | 0.300130i | ||||
\(497\) | −1.02118 | + | 2.90557i | −0.0458060 | + | 0.130333i | ||||
\(498\) | 21.2600 | + | 23.2396i | 0.952684 | + | 1.04139i | ||||
\(499\) | −1.58992 | + | 12.0767i | −0.0711748 | + | 0.540626i | 0.918296 | + | 0.395894i | \(0.129565\pi\) |
−0.989471 | + | 0.144732i | \(0.953768\pi\) | |||||||
\(500\) | 9.85375 | − | 10.7181i | 0.440673 | − | 0.479326i | ||||
\(501\) | 10.6332 | − | 1.39989i | 0.475056 | − | 0.0625423i | ||||
\(502\) | 2.31967 | − | 1.62141i | 0.103532 | − | 0.0723672i | ||||
\(503\) | 18.3719 | − | 18.3719i | 0.819162 | − | 0.819162i | −0.166824 | − | 0.985987i | \(-0.553351\pi\) |
0.985987 | + | 0.166824i | \(0.0533513\pi\) | |||||||
\(504\) | −16.3323 | + | 10.6041i | −0.727500 | + | 0.472344i | ||||
\(505\) | −21.5877 | − | 21.5877i | −0.960641 | − | 0.960641i | ||||
\(506\) | 17.5076 | + | 3.10190i | 0.778308 | + | 0.137896i | ||||
\(507\) | −2.79080 | − | 21.1982i | −0.123944 | − | 0.941446i | ||||
\(508\) | 9.48665 | + | 20.4318i | 0.420902 | + | 0.906516i | ||||
\(509\) | −20.5602 | − | 2.70680i | −0.911314 | − | 0.119977i | −0.339733 | − | 0.940522i | \(-0.610337\pi\) |
−0.571582 | + | 0.820545i | \(0.693670\pi\) | |||||||
\(510\) | −92.1857 | − | 4.10084i | −4.08205 | − | 0.181588i | ||||
\(511\) | −7.00159 | − | 37.2840i | −0.309732 | − | 1.64935i | ||||
\(512\) | 20.8404 | + | 8.81356i | 0.921023 | + | 0.389508i | ||||
\(513\) | −0.815600 | + | 1.41266i | −0.0360096 | + | 0.0623705i | ||||
\(514\) | −5.37917 | − | 10.3541i | −0.237265 | − | 0.456698i | ||||
\(515\) | −36.7977 | + | 47.9558i | −1.62150 | + | 2.11318i | ||||
\(516\) | −14.6006 | + | 20.7790i | −0.642755 | + | 0.914745i | ||||
\(517\) | 2.43792 | + | 1.00982i | 0.107220 | + | 0.0444119i | ||||
\(518\) | −15.2106 | + | 8.99148i | −0.668317 | + | 0.395063i | ||||
\(519\) | −25.9579 | − | 25.9579i | −1.13942 | − | 1.13942i | ||||
\(520\) | −11.9637 | + | 15.5120i | −0.524642 | + | 0.680247i | ||||
\(521\) | −11.2859 | − | 3.02404i | −0.494444 | − | 0.132486i | 0.00297645 | − | 0.999996i | \(-0.499053\pi\) |
−0.497420 | + | 0.867510i | \(0.665719\pi\) | |||||||
\(522\) | 0.0785664 | + | 0.906601i | 0.00343876 | + | 0.0396809i | ||||
\(523\) | −7.43424 | − | 9.68849i | −0.325077 | − | 0.423648i | 0.602014 | − | 0.798486i | \(-0.294365\pi\) |
−0.927091 | + | 0.374838i | \(0.877698\pi\) | |||||||
\(524\) | 8.88954 | + | 28.3565i | 0.388341 | + | 1.23876i | ||||
\(525\) | 20.0724 | − | 39.6261i | 0.876030 | − | 1.72942i | ||||
\(526\) | −8.63815 | − | 9.44246i | −0.376641 | − | 0.411711i | ||||
\(527\) | 64.8569 | + | 37.4451i | 2.82521 | + | 1.63114i | ||||
\(528\) | −8.68035 | − | 24.0953i | −0.377764 | − | 1.04861i | ||||
\(529\) | 1.21200 | − | 0.699749i | 0.0526957 | − | 0.0304239i | ||||
\(530\) | 8.04971 | + | 36.4517i | 0.349657 | + | 1.58336i | ||||
\(531\) | 3.45396 | − | 1.43068i | 0.149889 | − | 0.0620860i | ||||
\(532\) | 6.25647 | + | 6.69950i | 0.271252 | + | 0.290460i | ||||
\(533\) | 0.887600 | − | 2.14286i | 0.0384462 | − | 0.0928174i | ||||
\(534\) | −13.7932 | − | 19.7333i | −0.596891 | − | 0.853942i | ||||
\(535\) | 6.19836 | + | 1.66085i | 0.267978 | + | 0.0718046i | ||||
\(536\) | −23.2826 | + | 23.1681i | −1.00566 | + | 1.00071i | ||||
\(537\) | −19.1061 | + | 5.11946i | −0.824489 | + | 0.220921i | ||||
\(538\) | −7.42479 | + | 2.69549i | −0.320105 | + | 0.116211i | ||||
\(539\) | −9.81744 | + | 16.1923i | −0.422867 | + | 0.697453i | ||||
\(540\) | −4.20142 | − | 5.02380i | −0.180800 | − | 0.216190i | ||||
\(541\) | −13.8708 | − | 1.82612i | −0.596351 | − | 0.0785111i | −0.173692 | − | 0.984800i | \(-0.555570\pi\) |
−0.422659 | + | 0.906289i | \(0.638903\pi\) | |||||||
\(542\) | −7.79336 | + | 4.04883i | −0.334753 | + | 0.173912i | ||||
\(543\) | −19.2224 | − | 33.2942i | −0.824913 | − | 1.42879i | ||||
\(544\) | 32.9375 | + | 30.4316i | 1.41218 | + | 1.30474i | ||||
\(545\) | 29.0323 | 1.24361 | ||||||||
\(546\) | −6.58201 | + | 16.3639i | −0.281684 | + | 0.700310i | ||||
\(547\) | −9.20321 | − | 22.2185i | −0.393501 | − | 0.949995i | −0.989171 | − | 0.146766i | \(-0.953114\pi\) |
0.595670 | − | 0.803229i | \(-0.296886\pi\) | |||||||
\(548\) | 2.23982 | + | 12.8259i | 0.0956804 | + | 0.547896i | ||||
\(549\) | 1.89022 | + | 14.3576i | 0.0806726 | + | 0.612769i | ||||
\(550\) | 20.7735 | + | 17.4602i | 0.885787 | + | 0.744505i | ||||
\(551\) | 0.413775 | − | 0.110871i | 0.0176274 | − | 0.00472325i | ||||
\(552\) | 26.9070 | + | 15.6234i | 1.14524 | + | 0.664975i | ||||
\(553\) | −0.0877941 | + | 1.15037i | −0.00373339 | + | 0.0489187i | ||||
\(554\) | 2.99359 | − | 6.40601i | 0.127185 | − | 0.272165i | ||||
\(555\) | 23.6623 | + | 30.8374i | 1.00441 | + | 1.30897i | ||||
\(556\) | −0.0173212 | 0.000727733i | −0.000734584 | 3.08627e-5i | ||||||
\(557\) | −12.4764 | − | 9.57349i | −0.528643 | − | 0.405642i | 0.309659 | − | 0.950848i | \(-0.399785\pi\) |
−0.838302 | + | 0.545206i | \(0.816452\pi\) | |||||||
\(558\) | −7.49674 | − | 33.9476i | −0.317362 | − | 1.43712i | ||||
\(559\) | 10.6847i | 0.451913i | ||||||||
\(560\) | −33.8904 | + | 14.3489i | −1.43213 | + | 0.606352i | ||||
\(561\) | − | 50.7570i | − | 2.14296i | ||||||
\(562\) | −24.9489 | + | 5.50953i | −1.05241 | + | 0.232405i | ||||
\(563\) | −14.0673 | − | 10.7942i | −0.592866 | − | 0.454922i | 0.268237 | − | 0.963353i | \(-0.413559\pi\) |
−0.861103 | + | 0.508431i | \(0.830226\pi\) | |||||||
\(564\) | 3.39936 | + | 3.12524i | 0.143139 | + | 0.131596i | ||||
\(565\) | 0.871605 | + | 1.13590i | 0.0366687 | + | 0.0477876i | ||||
\(566\) | 26.0582 | + | 12.1772i | 1.09531 | + | 0.511847i | ||||
\(567\) | −21.9167 | − | 14.9866i | −0.920415 | − | 0.629378i | ||||
\(568\) | −1.99786 | − | 2.61700i | −0.0838284 | − | 0.109807i | ||||
\(569\) | 18.4201 | − | 4.93565i | 0.772211 | − | 0.206913i | 0.148863 | − | 0.988858i | \(-0.452439\pi\) |
0.623348 | + | 0.781944i | \(0.285772\pi\) | |||||||
\(570\) | 12.9744 | − | 15.4365i | 0.543439 | − | 0.646565i | ||||
\(571\) | 5.35143 | + | 40.6481i | 0.223950 | + | 1.70107i | 0.621438 | + | 0.783463i | \(0.286549\pi\) |
−0.397488 | + | 0.917607i | \(0.630118\pi\) | |||||||
\(572\) | −8.81643 | − | 6.19495i | −0.368633 | − | 0.259024i | ||||
\(573\) | −14.2606 | − | 34.4281i | −0.595744 | − | 1.43825i | ||||
\(574\) | 3.42958 | − | 2.68803i | 0.143148 | − | 0.112196i | ||||
\(575\) | −32.9672 | −1.37483 | ||||||||
\(576\) | 0.102672 | − | 20.8171i | 0.00427800 | − | 0.867379i | ||||
\(577\) | −15.8000 | − | 27.3664i | −0.657764 | − | 1.13928i | −0.981193 | − | 0.193028i | \(-0.938169\pi\) |
0.323430 | − | 0.946252i | \(-0.395164\pi\) | |||||||
\(578\) | 29.8884 | + | 57.5305i | 1.24319 | + | 2.39295i | ||||
\(579\) | −33.6139 | − | 4.42536i | −1.39695 | − | 0.183912i | ||||
\(580\) | −0.152712 | + | 1.71307i | −0.00634104 | + | 0.0711313i | ||||
\(581\) | 18.5406 | + | 16.6147i | 0.769194 | + | 0.689292i | ||||
\(582\) | 10.2858 | + | 28.3325i | 0.426361 | + | 1.17442i | ||||
\(583\) | −19.8337 | + | 5.31443i | −0.821428 | + | 0.220101i | ||||
\(584\) | 37.4296 | + | 15.6121i | 1.54885 | + | 0.646033i | ||||
\(585\) | 17.4084 | + | 4.66458i | 0.719750 | + | 0.192856i | ||||
\(586\) | 30.0977 | − | 21.0378i | 1.24332 | − | 0.869063i | ||||
\(587\) | 8.61161 | − | 20.7903i | 0.355439 | − | 0.858106i | −0.640490 | − | 0.767967i | \(-0.721269\pi\) |
0.995929 | − | 0.0901398i | \(-0.0287314\pi\) | |||||||
\(588\) | −25.8689 | + | 20.7081i | −1.06682 | + | 0.853987i | ||||
\(589\) | −15.1197 | + | 6.26279i | −0.622997 | + | 0.258054i | ||||
\(590\) | 6.89945 | − | 1.52362i | 0.284046 | − | 0.0627265i | ||||
\(591\) | −19.1504 | + | 11.0565i | −0.787743 | + | 0.454804i | ||||
\(592\) | 0.885993 | − | 18.8687i | 0.0364141 | − | 0.775498i | ||||
\(593\) | 10.5063 | + | 6.06579i | 0.431440 | + | 0.249092i | 0.699960 | − | 0.714182i | \(-0.253201\pi\) |
−0.268520 | + | 0.963274i | \(0.586534\pi\) | |||||||
\(594\) | 2.65792 | − | 2.43152i | 0.109056 | − | 0.0997664i | ||||
\(595\) | −72.8279 | + | 3.98979i | −2.98565 | + | 0.163566i | ||||
\(596\) | −12.7714 | + | 24.4355i | −0.523138 | + | 1.00092i | ||||
\(597\) | 13.6069 | + | 17.7328i | 0.556892 | + | 0.725756i | ||||
\(598\) | 13.0416 | − | 1.13019i | 0.533309 | − | 0.0462168i | ||||
\(599\) | 19.3969 | + | 5.19739i | 0.792537 | + | 0.212360i | 0.632305 | − | 0.774720i | \(-0.282109\pi\) |
0.160232 | + | 0.987079i | \(0.448776\pi\) | |||||||
\(600\) | 23.6419 | + | 41.1832i | 0.965178 | + | 1.68130i | ||||
\(601\) | −26.4614 | − | 26.4614i | −1.07938 | − | 1.07938i | −0.996565 | − | 0.0828178i | \(-0.973608\pi\) |
−0.0828178 | − | 0.996565i | \(-0.526392\pi\) | |||||||
\(602\) | −9.85749 | + | 17.4861i | −0.401761 | + | 0.712681i | ||||
\(603\) | 27.9180 | + | 11.5640i | 1.13691 | + | 0.470923i | ||||
\(604\) | −1.44953 | − | 8.30047i | −0.0589806 | − | 0.337741i | ||||
\(605\) | 7.79514 | − | 10.1588i | 0.316917 | − | 0.413015i | ||||
\(606\) | 26.0769 | − | 13.5476i | 1.05930 | − | 0.550332i | ||||
\(607\) | 8.97752 | − | 15.5495i | 0.364386 | − | 0.631136i | −0.624291 | − | 0.781192i | \(-0.714612\pi\) |
0.988677 | + | 0.150056i | \(0.0479454\pi\) | |||||||
\(608\) | −9.65755 | + | 1.66199i | −0.391665 | + | 0.0674026i | ||||
\(609\) | 0.285803 | + | 1.52192i | 0.0115813 | + | 0.0616713i | ||||
\(610\) | −1.21632 | + | 27.3425i | −0.0492473 | + | 1.10706i | ||||
\(611\) | 1.92615 | + | 0.253582i | 0.0779236 | + | 0.0102588i | ||||
\(612\) | 14.1743 | − | 38.7452i | 0.572961 | − | 1.56618i | ||||
\(613\) | −0.963901 | − | 7.32155i | −0.0389316 | − | 0.295715i | −0.999823 | − | 0.0187908i | \(-0.994018\pi\) |
0.960892 | − | 0.276924i | \(-0.0893150\pi\) | |||||||
\(614\) | 0.406640 | − | 2.29514i | 0.0164107 | − | 0.0926242i | ||||
\(615\) | −6.77807 | − | 6.77807i | −0.273318 | − | 0.273318i | ||||
\(616\) | −8.71328 | − | 18.2723i | −0.351068 | − | 0.736212i | ||||
\(617\) | −8.61926 | + | 8.61926i | −0.346999 | + | 0.346999i | −0.858990 | − | 0.511992i | \(-0.828908\pi\) |
0.511992 | + | 0.858990i | \(0.328908\pi\) | |||||||
\(618\) | −33.3331 | − | 47.6879i | −1.34085 | − | 1.91829i | ||||
\(619\) | −39.9239 | + | 5.25608i | −1.60468 | + | 0.211260i | −0.879016 | − | 0.476793i | \(-0.841799\pi\) |
−0.725661 | + | 0.688053i | \(0.758466\pi\) | |||||||
\(620\) | −2.75811 | − | 65.6475i | −0.110768 | − | 2.63647i | ||||
\(621\) | −0.571225 | + | 4.33889i | −0.0229225 | + | 0.174113i | ||||
\(622\) | 24.2327 | − | 22.1686i | 0.971644 | − | 0.888879i | ||||
\(623\) | −12.3933 | − | 14.4413i | −0.496527 | − | 0.578577i | ||||
\(624\) | −10.7644 | − | 15.4813i | −0.430922 | − | 0.619747i | ||||
\(625\) | 8.79131 | + | 5.07567i | 0.351652 | + | 0.203027i | ||||
\(626\) | −6.65336 | + | 21.0414i | −0.265922 | + | 0.840985i | ||||
\(627\) | 8.79965 | + | 6.75221i | 0.351424 | + | 0.269657i | ||||
\(628\) | −30.1384 | − | 6.73353i | −1.20265 | − | 0.268697i | ||||
\(629\) | 14.3260 | − | 34.5861i | 0.571217 | − | 1.37904i | ||||
\(630\) | 24.1865 | + | 23.6946i | 0.963615 | + | 0.944015i | ||||
\(631\) | 2.16966 | − | 2.16966i | 0.0863726 | − | 0.0863726i | −0.662600 | − | 0.748973i | \(-0.730547\pi\) |
0.748973 | + | 0.662600i | \(0.230547\pi\) | |||||||
\(632\) | −0.976646 | − | 0.753240i | −0.0388489 | − | 0.0299623i | ||||
\(633\) | −7.13616 | + | 26.6325i | −0.283637 | + | 1.05855i | ||||
\(634\) | −6.67624 | + | 7.94316i | −0.265147 | + | 0.315463i | ||||
\(635\) | 31.0748 | − | 23.8446i | 1.23317 | − | 0.946242i | ||||
\(636\) | −35.7897 | − | 3.19049i | −1.41915 | − | 0.126511i | ||||
\(637\) | −3.89618 | + | 13.3859i | −0.154372 | + | 0.530368i | ||||
\(638\) | −0.945078 | − | 0.0420414i | −0.0374160 | − | 0.00166443i | ||||
\(639\) | −1.51453 | + | 2.62324i | −0.0599139 | + | 0.103774i | ||||
\(640\) | 7.05484 | − | 38.7063i | 0.278867 | − | 1.53000i | ||||
\(641\) | −1.28091 | − | 2.21860i | −0.0505930 | − | 0.0876296i | 0.839620 | − | 0.543174i | \(-0.182778\pi\) |
−0.890213 | + | 0.455545i | \(0.849444\pi\) | |||||||
\(642\) | −3.32299 | + | 5.20660i | −0.131148 | + | 0.205488i | ||||
\(643\) | 1.92686 | + | 4.65185i | 0.0759880 | + | 0.183451i | 0.957309 | − | 0.289067i | \(-0.0933451\pi\) |
−0.881321 | + | 0.472518i | \(0.843345\pi\) | |||||||
\(644\) | 22.3860 | + | 10.1823i | 0.882133 | + | 0.401239i | ||||
\(645\) | 40.7962 | + | 16.8983i | 1.60635 | + | 0.665371i | ||||
\(646\) | −19.1232 | − | 3.38814i | −0.752391 | − | 0.133305i | ||||
\(647\) | −5.66762 | + | 21.1519i | −0.222817 | + | 0.831565i | 0.760450 | + | 0.649396i | \(0.224978\pi\) |
−0.983267 | + | 0.182169i | \(0.941688\pi\) | |||||||
\(648\) | 26.2500 | − | 10.7973i | 1.03120 | − | 0.424160i | ||||
\(649\) | 1.00590 | + | 3.75406i | 0.0394849 | + | 0.147360i | ||||
\(650\) | 18.1001 | + | 8.45835i | 0.709946 | + | 0.331764i | ||||
\(651\) | −18.4146 | − | 56.2207i | −0.721725 | − | 2.20346i | ||||
\(652\) | −3.51136 | − | 11.2008i | −0.137515 | − | 0.438656i | ||||
\(653\) | 4.72054 | − | 35.8560i | 0.184729 | − | 1.40316i | −0.608172 | − | 0.793805i | \(-0.708097\pi\) |
0.792901 | − | 0.609350i | \(-0.208570\pi\) | |||||||
\(654\) | −8.42507 | + | 26.6445i | −0.329446 | + | 1.04188i | ||||
\(655\) | 44.7488 | − | 25.8358i | 1.74848 | − | 1.00949i | ||||
\(656\) | 0.390739 | + | 4.64191i | 0.0152558 | + | 0.181236i | ||||
\(657\) | − | 37.3108i | − | 1.45563i | ||||||
\(658\) | 2.91831 | + | 2.19203i | 0.113768 | + | 0.0854544i | ||||
\(659\) | 15.1726 | − | 6.28471i | 0.591041 | − | 0.244817i | −0.0670571 | − | 0.997749i | \(-0.521361\pi\) |
0.658099 | + | 0.752932i | \(0.271361\pi\) | |||||||
\(660\) | −37.5972 | + | 23.8652i | −1.46347 | + | 0.928954i | ||||
\(661\) | 31.5018 | − | 4.14729i | 1.22528 | − | 0.161311i | 0.510014 | − | 0.860166i | \(-0.329640\pi\) |
0.715263 | + | 0.698855i | \(0.246307\pi\) | |||||||
\(662\) | 1.12696 | − | 0.0976626i | 0.0438005 | − | 0.00379577i | ||||
\(663\) | −9.67183 | − | 36.0958i | −0.375623 | − | 1.40184i | ||||
\(664\) | −25.7248 | + | 6.82498i | −0.998314 | + | 0.264861i | ||||
\(665\) | 8.99661 | − | 13.1568i | 0.348873 | − | 0.510199i | ||||
\(666\) | −16.3352 | + | 5.93034i | −0.632978 | + | 0.229796i | ||||
\(667\) | 0.911778 | − | 0.699632i | 0.0353042 | − | 0.0270899i | ||||
\(668\) | −3.11355 | + | 8.51084i | −0.120467 | + | 0.329294i | ||||
\(669\) | 30.1912 | − | 39.3460i | 1.16726 | − | 1.52120i | ||||
\(670\) | 48.1419 | + | 30.7254i | 1.85988 | + | 1.18703i | ||||
\(671\) | −15.0546 | −0.581178 | ||||||||
\(672\) | −3.33389 | − | 35.2671i | −0.128607 | − | 1.36046i | ||||
\(673\) | 33.1865 | 1.27924 | 0.639622 | − | 0.768689i | \(-0.279091\pi\) | ||||
0.639622 | + | 0.768689i | \(0.279091\pi\) | |||||||
\(674\) | 37.6175 | + | 24.0085i | 1.44897 | + | 0.924773i | ||||
\(675\) | −4.06607 | + | 5.29901i | −0.156503 | + | 0.203959i | ||||
\(676\) | 16.9671 | + | 6.20713i | 0.652581 | + | 0.238736i | ||||
\(677\) | −34.1214 | + | 26.1823i | −1.31139 | + | 1.00627i | −0.312991 | + | 0.949756i | \(0.601331\pi\) |
−0.998402 | + | 0.0565108i | \(0.982002\pi\) | |||||||
\(678\) | −1.29541 | + | 0.470286i | −0.0497501 | + | 0.0180612i | ||||
\(679\) | 10.3077 | + | 21.4794i | 0.395572 | + | 0.824303i | ||||
\(680\) | 39.1529 | − | 67.4303i | 1.50145 | − | 2.58583i | ||||
\(681\) | 0.302219 | + | 1.12790i | 0.0115811 | + | 0.0432211i | ||||
\(682\) | 36.0064 | − | 3.12033i | 1.37876 | − | 0.119484i | ||||
\(683\) | 19.5305 | − | 2.57124i | 0.747314 | − | 0.0983857i | 0.252755 | − | 0.967530i | \(-0.418663\pi\) |
0.494558 | + | 0.869144i | \(0.335330\pi\) | |||||||
\(684\) | 4.83157 | + | 7.61164i | 0.184740 | + | 0.291038i | ||||
\(685\) | 20.9156 | − | 8.66352i | 0.799144 | − | 0.331016i | ||||
\(686\) | −18.7259 | + | 18.3123i | −0.714959 | + | 0.699166i | ||||
\(687\) | 38.9236i | 1.48503i | ||||||||
\(688\) | −9.84611 | − | 19.0670i | −0.375380 | − | 0.726923i | ||||
\(689\) | −13.0920 | + | 7.55869i | −0.498767 | + | 0.287963i | ||||
\(690\) | 16.3106 | − | 51.5828i | 0.620935 | − | 1.96372i | ||||
\(691\) | −4.88106 | + | 37.0753i | −0.185684 | + | 1.41041i | 0.604043 | + | 0.796952i | \(0.293556\pi\) |
−0.789727 | + | 0.613459i | \(0.789778\pi\) | |||||||
\(692\) | 29.5992 | − | 9.27912i | 1.12519 | − | 0.352739i | ||||
\(693\) | −12.4291 | + | 13.8699i | −0.472144 | + | 0.526874i | ||||
\(694\) | 41.2489 | + | 19.2760i | 1.56579 | + | 0.731707i | ||||
\(695\) | 0.00780191 | + | 0.0291171i | 0.000295943 | + | 0.00110448i | ||||
\(696\) | −1.52786 | − | 0.637279i | −0.0579134 | − | 0.0241560i | ||||
\(697\) | −2.38942 | + | 8.91745i | −0.0905059 | + | 0.337772i | ||||
\(698\) | −47.1222 | − | 8.34886i | −1.78360 | − | 0.316009i | ||||
\(699\) | 26.1731 | + | 10.8413i | 0.989958 | + | 0.410054i | ||||
\(700\) | 21.8185 | + | 30.5415i | 0.824661 | + | 1.15436i | ||||
\(701\) | −2.62484 | − | 6.33692i | −0.0991388 | − | 0.239342i | 0.866527 | − | 0.499131i | \(-0.166347\pi\) |
−0.965666 | + | 0.259788i | \(0.916347\pi\) | |||||||
\(702\) | 1.42684 | − | 2.23564i | 0.0538528 | − | 0.0843788i | ||||
\(703\) | 4.09034 | + | 7.08468i | 0.154270 | + | 0.267204i | ||||
\(704\) | 21.4419 | + | 2.93053i | 0.808120 | + | 0.110449i | ||||
\(705\) | 4.01453 | − | 6.95336i | 0.151196 | − | 0.261879i | ||||
\(706\) | −46.3818 | − | 2.06327i | −1.74560 | − | 0.0776523i | ||||
\(707\) | 19.4500 | − | 12.6966i | 0.731492 | − | 0.477504i | ||||
\(708\) | −0.603886 | + | 6.77416i | −0.0226954 | + | 0.254588i | ||||
\(709\) | −23.9384 | + | 18.3686i | −0.899027 | + | 0.689848i | −0.951129 | − | 0.308794i | \(-0.900075\pi\) |
0.0521017 | + | 0.998642i | \(0.483408\pi\) | |||||||
\(710\) | −3.68344 | + | 4.38243i | −0.138237 | + | 0.164470i | ||||
\(711\) | −0.293684 | + | 1.09604i | −0.0110140 | + | 0.0411049i | ||||
\(712\) | 20.1765 | − | 2.60568i | 0.756145 | − | 0.0976519i | ||||
\(713\) | −31.0467 | + | 31.0467i | −1.16271 | + | 1.16271i | ||||
\(714\) | 17.4728 | − | 67.9961i | 0.653902 | − | 2.54469i | ||||
\(715\) | −7.16987 | + | 17.3096i | −0.268138 | + | 0.647342i | ||||
\(716\) | 3.64439 | − | 16.3118i | 0.136197 | − | 0.609602i | ||||
\(717\) | −39.7899 | − | 30.5319i | −1.48598 | − | 1.14023i | ||||
\(718\) | 13.1253 | − | 41.5092i | 0.489833 | − | 1.54911i | ||||
\(719\) | 3.28187 | + | 1.89479i | 0.122393 | + | 0.0706637i | 0.559947 | − | 0.828529i | \(-0.310822\pi\) |
−0.437554 | + | 0.899192i | \(0.644155\pi\) | |||||||
\(720\) | −35.3642 | + | 7.71815i | −1.31795 | + | 0.287638i | ||||
\(721\) | −29.9500 | − | 34.8991i | −1.11540 | − | 1.29971i | ||||
\(722\) | −16.6942 | + | 15.2722i | −0.621296 | + | 0.568374i | ||||
\(723\) | 0.944893 | − | 7.17717i | 0.0351409 | − | 0.266922i | ||||
\(724\) | 32.4569 | − | 1.36364i | 1.20625 | − | 0.0506793i | ||||
\(725\) | 1.73904 | − | 0.228949i | 0.0645863 | − | 0.00850294i | ||||
\(726\) | 7.06119 | + | 10.1021i | 0.262065 | + | 0.374923i | ||||
\(727\) | 10.0645 | − | 10.0645i | 0.373272 | − | 0.373272i | −0.495395 | − | 0.868668i | \(-0.664977\pi\) |
0.868668 | + | 0.495395i | \(0.164977\pi\) | |||||||
\(728\) | −9.67825 | − | 11.3340i | −0.358700 | − | 0.420066i | ||||
\(729\) | −13.7371 | − | 13.7371i | −0.508781 | − | 0.508781i | ||||
\(730\) | 12.3020 | − | 69.4346i | 0.455319 | − | 2.56989i | ||||
\(731\) | −5.55108 | − | 42.1647i | −0.205314 | − | 1.55952i | ||||
\(732\) | −24.7407 | − | 9.05098i | −0.914444 | − | 0.334534i | ||||
\(733\) | −3.00160 | − | 0.395168i | −0.110866 | − | 0.0145958i | 0.0748888 | − | 0.997192i | \(-0.476140\pi\) |
−0.185755 | + | 0.982596i | \(0.559473\pi\) | |||||||
\(734\) | −0.332750 | + | 7.48013i | −0.0122820 | + | 0.276097i | ||||
\(735\) | 44.9480 | + | 36.0468i | 1.65793 | + | 1.32961i | ||||
\(736\) | −22.2315 | + | 14.0349i | −0.819463 | + | 0.517333i | ||||
\(737\) | −15.7071 | + | 27.2054i | −0.578577 | + | 1.00212i | ||||
\(738\) | 3.80308 | − | 1.97578i | 0.139993 | − | 0.0727296i | ||||
\(739\) | 5.27338 | − | 6.87241i | 0.193985 | − | 0.252806i | −0.686227 | − | 0.727388i | \(-0.740734\pi\) |
0.880211 | + | 0.474582i | \(0.157401\pi\) | |||||||
\(740\) | −32.3549 | + | 5.65020i | −1.18939 | + | 0.207706i | ||||
\(741\) | 7.54450 | + | 3.12504i | 0.277154 | + | 0.114801i | ||||
\(742\) | −28.3995 | + | 0.291783i | −1.04258 | + | 0.0107117i | ||||
\(743\) | −30.6105 | − | 30.6105i | −1.12299 | − | 1.12299i | −0.991290 | − | 0.131699i | \(-0.957957\pi\) |
−0.131699 | − | 0.991290i | \(-0.542043\pi\) | |||||||
\(744\) | 61.0488 | + | 16.5194i | 2.23816 | + | 0.605632i | ||||
\(745\) | 46.3075 | + | 12.4081i | 1.69658 | + | 0.454596i | ||||
\(746\) | −18.0497 | + | 1.56420i | −0.660848 | + | 0.0572694i | ||||
\(747\) | 14.9059 | + | 19.4258i | 0.545380 | + | 0.710753i | ||||
\(748\) | 38.0106 | + | 19.8665i | 1.38980 | + | 0.726393i | ||||
\(749\) | −2.20613 | + | 4.35525i | −0.0806101 | + | 0.159137i | ||||
\(750\) | 17.9788 | − | 16.4474i | 0.656494 | − | 0.600574i | ||||
\(751\) | −43.0634 | − | 24.8627i | −1.57141 | − | 0.907252i | −0.995997 | − | 0.0893869i | \(-0.971509\pi\) |
−0.575410 | − | 0.817865i | \(-0.695157\pi\) | |||||||
\(752\) | −3.67093 | + | 1.32246i | −0.133865 | + | 0.0482250i | ||||
\(753\) | 4.10210 | − | 2.36835i | 0.149489 | − | 0.0863074i | ||||
\(754\) | −0.680102 | + | 0.150188i | −0.0247678 | + | 0.00546954i | ||||
\(755\) | −13.5358 | + | 5.60672i | −0.492619 | + | 0.204049i | ||||
\(756\) | 4.39768 | − | 2.34238i | 0.159942 | − | 0.0851916i | ||||
\(757\) | −2.17686 | + | 5.25541i | −0.0791193 | + | 0.191011i | −0.958490 | − | 0.285128i | \(-0.907964\pi\) |
0.879370 | + | 0.476139i | \(0.157964\pi\) | |||||||
\(758\) | 6.39671 | − | 4.47119i | 0.232339 | − | 0.162401i | ||||
\(759\) | 28.7439 | + | 7.70189i | 1.04334 | + | 0.279561i | ||||
\(760\) | 6.48175 | + | 15.7581i | 0.235118 | + | 0.571608i | ||||
\(761\) | 15.1537 | − | 4.06042i | 0.549321 | − | 0.147190i | 0.0265254 | − | 0.999648i | \(-0.491556\pi\) |
0.522796 | + | 0.852458i | \(0.324889\pi\) | |||||||
\(762\) | 12.8657 | + | 35.4387i | 0.466073 | + | 1.28381i | ||||
\(763\) | −4.54116 | + | 21.6162i | −0.164401 | + | 0.782558i | ||||
\(764\) | 31.3640 | + | 2.79596i | 1.13471 | + | 0.101154i | ||||
\(765\) | −71.1219 | − | 9.36338i | −2.57142 | − | 0.338534i | ||||
\(766\) | 4.66578 | + | 8.98090i | 0.168582 | + | 0.324493i | ||||
\(767\) | 1.43068 | + | 2.47802i | 0.0516590 | + | 0.0894760i | ||||
\(768\) | 33.4756 | + | 17.7070i | 1.20795 | + | 0.638948i | ||||
\(769\) | −5.19904 | −0.187482 | −0.0937411 | − | 0.995597i | \(-0.529883\pi\) | ||||
−0.0937411 | + | 0.995597i | \(0.529883\pi\) | |||||||
\(770\) | −27.7035 | + | 21.7135i | −0.998364 | + | 0.782498i | ||||
\(771\) | −7.47307 | − | 18.0416i | −0.269136 | − | 0.649752i | ||||
\(772\) | 16.4707 | − | 23.4405i | 0.592793 | − | 0.843641i | ||||
\(773\) | −2.37738 | − | 18.0580i | −0.0855084 | − | 0.649500i | −0.979504 | − | 0.201425i | \(-0.935443\pi\) |
0.893996 | − | 0.448076i | \(-0.147890\pi\) | |||||||
\(774\) | −12.7027 | + | 15.1132i | −0.456589 | + | 0.543235i | ||||
\(775\) | −64.7280 | + | 17.3438i | −2.32510 | + | 0.623009i | ||||
\(776\) | −25.2434 | − | 3.38671i | −0.906185 | − | 0.121576i | ||||
\(777\) | −26.6614 | + | 12.7945i | −0.956472 | + | 0.458999i | ||||
\(778\) | −3.51314 | − | 1.64172i | −0.125952 | − | 0.0588586i | ||||
\(779\) | −1.22814 | − | 1.60054i | −0.0440026 | − | 0.0573453i | ||||
\(780\) | −22.1896 | + | 24.1359i | −0.794516 | + | 0.864205i | ||||
\(781\) | −2.49822 | − | 1.91695i | −0.0893933 | − | 0.0685939i | ||||
\(782\) | −50.8785 | + | 11.2356i | −1.81941 | + | 0.401785i | ||||
\(783\) | − | 0.232846i | − | 0.00832123i | ||||||
\(784\) | −5.38251 | − | 27.4778i | −0.192233 | − | 0.981349i | ||||
\(785\) | 53.6959i | 1.91649i | ||||||||
\(786\) | 10.7249 | + | 48.5659i | 0.382546 | + | 1.73229i | ||||
\(787\) | 7.32521 | + | 5.62083i | 0.261116 | + | 0.200361i | 0.731020 | − | 0.682356i | \(-0.239045\pi\) |
−0.469904 | + | 0.882718i | \(0.655711\pi\) | |||||||
\(788\) | −0.784350 | − | 18.6688i | −0.0279413 | − | 0.665049i | ||||
\(789\) | −13.0388 | − | 16.9925i | −0.464193 | − | 0.604949i | ||||
\(790\) | −0.907925 | + | 1.94288i | −0.0323025 | + | 0.0691246i | ||||
\(791\) | −0.982075 | + | 0.471285i | −0.0349186 | + | 0.0167570i | ||||
\(792\) | −5.10565 | − | 19.2442i | −0.181421 | − | 0.683814i | ||||
\(793\) | −10.7061 | + | 2.86869i | −0.380184 | + | 0.101870i | ||||
\(794\) | 4.45885 | + | 3.74767i | 0.158239 | + | 0.133000i | ||||
\(795\) | 8.15488 | + | 61.9425i | 0.289224 | + | 2.19687i | ||||
\(796\) | −18.6054 | + | 3.24911i | −0.659452 | + | 0.115162i | ||||
\(797\) | −3.28952 | − | 7.94160i | −0.116521 | − | 0.281306i | 0.854850 | − | 0.518876i | \(-0.173649\pi\) |
−0.971371 | + | 0.237570i | \(0.923649\pi\) | |||||||
\(798\) | 9.46395 | + | 12.0747i | 0.335020 | + | 0.427441i | ||||
\(799\) | −7.73286 | −0.273569 | ||||||||
\(800\) | −40.0946 | + | 1.58549i | −1.41756 | + | 0.0560556i | ||||
\(801\) | −9.35830 | − | 16.2091i | −0.330659 | − | 0.572719i | ||||
\(802\) | −44.0545 | + | 22.8873i | −1.55562 | + | 0.808179i | ||||
\(803\) | 38.4556 | + | 5.06277i | 1.35707 | + | 0.178661i | ||||
\(804\) | −42.1690 | + | 35.2660i | −1.48719 | + | 1.24374i | ||||
\(805\) | 8.79151 | − | 41.8481i | 0.309860 | − | 1.47495i | ||||
\(806\) | 25.0113 | − | 9.08010i | 0.880986 | − | 0.319833i | ||||
\(807\) | −12.7695 | + | 3.42159i | −0.449509 | + | 0.120446i | ||||
\(808\) | −0.0612338 | + | 24.8309i | −0.00215420 | + | 0.873548i | ||||
\(809\) | −26.2561 | − | 7.03530i | −0.923115 | − | 0.247348i | −0.234199 | − | 0.972189i | \(-0.575247\pi\) |
−0.688917 | + | 0.724841i | \(0.741913\pi\) | |||||||
\(810\) | −28.2746 | − | 40.4510i | −0.993467 | − | 1.42130i | ||||
\(811\) | 8.45170 | − | 20.4042i | 0.296779 | − | 0.716489i | −0.703205 | − | 0.710987i | \(-0.748249\pi\) |
0.999985 | − | 0.00550212i | \(-0.00175139\pi\) | |||||||
\(812\) | −1.25159 | − | 0.381657i | −0.0439222 | − | 0.0133935i | ||||
\(813\) | −13.5796 | + | 5.62487i | −0.476259 | + | 0.197273i | ||||
\(814\) | −3.89573 | − | 17.6411i | −0.136545 | − | 0.618321i | ||||
\(815\) | −17.6757 | + | 10.2051i | −0.619154 | + | 0.357469i | ||||
\(816\) | 50.5225 | + | 55.5009i | 1.76864 | + | 1.94292i | ||||
\(817\) | 8.04848 | + | 4.64679i | 0.281580 | + | 0.162571i | ||||
\(818\) | 9.23860 | + | 10.0988i | 0.323020 | + | 0.353097i | ||||
\(819\) | −6.19603 | + | 12.2319i | −0.216507 | + | 0.427419i | ||||
\(820\) | 7.72889 | − | 2.42295i | 0.269904 | − | 0.0846129i | ||||
\(821\) | 8.21023 | + | 10.6998i | 0.286539 | + | 0.373425i | 0.914339 | − | 0.404950i | \(-0.132711\pi\) |
−0.627800 | + | 0.778375i | \(0.716044\pi\) | |||||||
\(822\) | 1.88136 | + | 21.7095i | 0.0656198 | + | 0.757206i | ||||
\(823\) | 2.05346 | + | 0.550223i | 0.0715791 | + | 0.0191796i | 0.294431 | − | 0.955673i | \(-0.404870\pi\) |
−0.222852 | + | 0.974852i | \(0.571537\pi\) | |||||||
\(824\) | 48.7590 | − | 6.29695i | 1.69860 | − | 0.219365i | ||||
\(825\) | 32.1147 | + | 32.1147i | 1.11809 | + | 1.11809i | ||||
\(826\) | 0.0552276 | + | 5.37536i | 0.00192162 | + | 0.187033i | ||||
\(827\) | 24.8151 | + | 10.2787i | 0.862905 | + | 0.357427i | 0.769843 | − | 0.638233i | \(-0.220334\pi\) |
0.0930623 | + | 0.995660i | \(0.470334\pi\) | |||||||
\(828\) | 19.7907 | + | 13.9061i | 0.687774 | + | 0.483272i | ||||
\(829\) | −25.8651 | + | 33.7080i | −0.898331 | + | 1.17073i | 0.0863332 | + | 0.996266i | \(0.472485\pi\) |
−0.984664 | + | 0.174461i | \(0.944182\pi\) | |||||||
\(830\) | 21.3346 | + | 41.0657i | 0.740534 | + | 1.42541i | ||||
\(831\) | 5.91714 | − | 10.2488i | 0.205263 | − | 0.355527i | ||||
\(832\) | 15.8068 | − | 2.00174i | 0.548001 | − | 0.0693978i | ||||
\(833\) | 8.42095 | − | 54.8486i | 0.291769 | − | 1.90039i | ||||
\(834\) | −0.0289865 | − | 0.00128945i | −0.00100372 | − | 4.46500e-5i | ||||
\(835\) | 15.6228 | + | 2.05678i | 0.540649 | + | 0.0711778i | ||||
\(836\) | −8.50078 | + | 3.94698i | −0.294006 | + | 0.136509i | ||||
\(837\) | 1.16111 | + | 8.81952i | 0.0401339 | + | 0.304847i | ||||
\(838\) | 13.9588 | + | 2.47314i | 0.482197 | + | 0.0854332i | ||||
\(839\) | −21.6483 | − | 21.6483i | −0.747383 | − | 0.747383i | 0.226604 | − | 0.973987i | \(-0.427238\pi\) |
−0.973987 | + | 0.226604i | \(0.927238\pi\) | |||||||
\(840\) | −58.5821 | + | 19.0282i | −2.02127 | + | 0.656536i | ||||
\(841\) | 20.4629 | − | 20.4629i | 0.705616 | − | 0.705616i | ||||
\(842\) | −27.2170 | + | 19.0242i | −0.937960 | + | 0.655619i | ||||
\(843\) | −42.3958 | + | 5.58151i | −1.46019 | + | 0.192238i | ||||
\(844\) | −17.1513 | − | 15.7682i | −0.590371 | − | 0.542763i | ||||
\(845\) | 4.10037 | − | 31.1454i | 0.141057 | − | 1.07143i | ||||
\(846\) | 2.42302 | + | 2.64863i | 0.0833052 | + | 0.0910618i | ||||
\(847\) | 6.34452 | + | 7.39294i | 0.218000 | + | 0.254024i | ||||
\(848\) | 16.3975 | − | 25.5532i | 0.563094 | − | 0.877500i | ||||
\(849\) | 41.6897 | + | 24.0696i | 1.43079 | + | 0.826065i | ||||
\(850\) | −75.8226 | − | 23.9753i | −2.60069 | − | 0.822346i | ||||
\(851\) | 17.4124 | + | 13.3610i | 0.596889 | + | 0.458009i | ||||
\(852\) | −2.95307 | − | 4.65226i | −0.101171 | − | 0.159384i | ||||
\(853\) | −12.9262 | + | 31.2066i | −0.442585 | + | 1.06849i | 0.532454 | + | 0.846459i | \(0.321270\pi\) |
−0.975039 | + | 0.222036i | \(0.928730\pi\) | |||||||
\(854\) | −20.1678 | − | 5.18246i | −0.690127 | − | 0.177340i | ||||
\(855\) | 11.0847 | − | 11.0847i | 0.379088 | − | 0.379088i | ||||
\(856\) | −2.59845 | − | 4.52639i | −0.0888133 | − | 0.154709i | ||||
\(857\) | 11.9622 | − | 44.6435i | 0.408621 | − | 1.52499i | −0.388659 | − | 0.921382i | \(-0.627061\pi\) |
0.797279 | − | 0.603611i | \(-0.206272\pi\) | |||||||
\(858\) | −13.8053 | − | 11.6034i | −0.471305 | − | 0.396133i | ||||
\(859\) | −22.2045 | + | 17.0381i | −0.757606 | + | 0.581332i | −0.913690 | − | 0.406412i | \(-0.866780\pi\) |
0.156084 | + | 0.987744i | \(0.450113\pi\) | |||||||
\(860\) | −28.6226 | + | 23.9371i | −0.976021 | + | 0.816248i | ||||
\(861\) | 6.10687 | − | 3.98645i | 0.208122 | − | 0.135858i | ||||
\(862\) | 1.56788 | − | 35.2455i | 0.0534022 | − | 1.20047i | ||||
\(863\) | −7.85966 | + | 13.6133i | −0.267546 | + | 0.463403i | −0.968228 | − | 0.250071i | \(-0.919546\pi\) |
0.700681 | + | 0.713474i | \(0.252879\pi\) | |||||||
\(864\) | −0.486052 | + | 5.30441i | −0.0165358 | + | 0.180460i | ||||
\(865\) | −26.9680 | − | 46.7100i | −0.916940 | − | 1.58819i | ||||
\(866\) | −32.5753 | − | 20.7904i | −1.10695 | − | 0.706487i | ||||
\(867\) | 41.5228 | + | 100.245i | 1.41019 | + | 3.40449i | ||||
\(868\) | 49.3098 | + | 8.21487i | 1.67368 | + | 0.278831i | ||||
\(869\) | −1.08982 | − | 0.451419i | −0.0369697 | − | 0.0153134i | ||||
\(870\) | −0.502165 | + | 2.83429i | −0.0170250 | + | 0.0960916i | ||||
\(871\) | −5.98601 | + | 22.3401i | −0.202828 | + | 0.756965i | ||||
\(872\) | −16.6558 | − | 16.7381i | −0.564035 | − | 0.566824i | ||||
\(873\) | 6.06468 | + | 22.6337i | 0.205258 | + | 0.766035i | ||||
\(874\) | 4.82047 | − | 10.3154i | 0.163055 | − | 0.348923i | ||||
\(875\) | 12.8536 | − | 14.3436i | 0.434531 | − | 0.484901i | ||||
\(876\) | 60.1539 | + | 31.4400i | 2.03241 | + | 1.06226i | ||||
\(877\) | −5.25920 | + | 39.9476i | −0.177590 | + | 1.34893i | 0.637880 | + | 0.770136i | \(0.279811\pi\) |
−0.815471 | + | 0.578798i | \(0.803522\pi\) | |||||||
\(878\) | −3.36379 | − | 1.06364i | −0.113522 | − | 0.0358960i | ||||
\(879\) | 53.2246 | − | 30.7293i | 1.79522 | − | 1.03647i | ||||
\(880\) | −3.15632 | − | 37.4965i | −0.106400 | − | 1.26401i | ||||
\(881\) | − | 2.08556i | − | 0.0702642i | −0.999383 | − | 0.0351321i | \(-0.988815\pi\) | ||
0.999383 | − | 0.0351321i | \(-0.0111852\pi\) | |||||||
\(882\) | −21.4252 | + | 14.3020i | −0.721423 | + | 0.481573i | ||||
\(883\) | 10.3216 | − | 4.27536i | 0.347351 | − | 0.143877i | −0.202186 | − | 0.979347i | \(-0.564804\pi\) |
0.549536 | + | 0.835470i | \(0.314804\pi\) | |||||||
\(884\) | 30.8168 | + | 6.88508i | 1.03648 | + | 0.231570i | ||||
\(885\) | 11.7243 | − | 1.54353i | 0.394107 | − | 0.0518852i | ||||
\(886\) | −2.51717 | − | 29.0464i | −0.0845660 | − | 0.975832i | ||||
\(887\) | 10.5997 | + | 39.5585i | 0.355902 | + | 1.32824i | 0.879346 | + | 0.476184i | \(0.157980\pi\) |
−0.523444 | + | 0.852060i | \(0.675353\pi\) | |||||||
\(888\) | 4.20377 | − | 31.3335i | 0.141069 | − | 1.05148i | ||||
\(889\) | 12.8930 | + | 26.8667i | 0.432417 | + | 0.901080i | ||||
\(890\) | −12.0712 | − | 33.2503i | −0.404626 | − | 1.11455i | ||||
\(891\) | 21.5370 | − | 16.5259i | 0.721516 | − | 0.553639i | ||||
\(892\) | 17.6482 | + | 38.0096i | 0.590904 | + | 1.27266i | ||||
\(893\) | 1.02870 | − | 1.34063i | 0.0344242 | − | 0.0448625i | ||||
\(894\) | −24.8259 | + | 38.8982i | −0.830301 | + | 1.30095i | ||||
\(895\) | −29.0618 | −0.971430 | ||||||||
\(896\) | 27.7155 | + | 11.3071i | 0.925911 | + | 0.377743i | ||||
\(897\) | 21.9088 | 0.731512 | ||||||||
\(898\) | 12.6799 | − | 19.8673i | 0.423132 | − | 0.662981i | ||||
\(899\) | 1.42212 | − | 1.85334i | 0.0474304 | − | 0.0618124i | ||||
\(900\) | 15.5464 | + | 33.4829i | 0.518213 | + | 1.11610i | ||||
\(901\) | 47.7378 | − | 36.6305i | 1.59038 | − | 1.22034i | ||||
\(902\) | 1.52036 | + | 4.18786i | 0.0506224 | + | 0.139440i | ||||
\(903\) | −18.9630 | + | 27.7319i | −0.631050 | + | 0.922860i | ||||
\(904\) | 0.154846 | − | 1.15417i | 0.00515011 | − | 0.0383872i | ||||
\(905\) | −14.6194 | − | 54.5603i | −0.485965 | − | 1.81364i | ||||
\(906\) | −1.21755 | − | 14.0496i | −0.0404502 | − | 0.466767i | ||||
\(907\) | −0.556878 | + | 0.0733143i | −0.0184908 | + | 0.00243436i | −0.139766 | − | 0.990185i | \(-0.544635\pi\) |
0.121275 | + | 0.992619i | \(0.461302\pi\) | |||||||
\(908\) | −0.962942 | − | 0.215141i | −0.0319563 | − | 0.00713969i | ||||
\(909\) | 21.1057 | − | 8.74226i | 0.700031 | − | 0.289962i | ||||
\(910\) | −15.5638 | + | 20.7204i | −0.515934 | + | 0.686876i | ||||
\(911\) | − | 30.4575i | − | 1.00910i | −0.863382 | − | 0.504551i | \(-0.831658\pi\) | ||
0.863382 | − | 0.504551i | \(-0.168342\pi\) | |||||||
\(912\) | −16.3431 | + | 1.37570i | −0.541174 | + | 0.0455541i | ||||
\(913\) | −22.0444 | + | 12.7274i | −0.729564 | + | 0.421214i | ||||
\(914\) | 5.21781 | + | 1.64988i | 0.172590 | + | 0.0545733i | ||||
\(915\) | −5.97899 | + | 45.4149i | −0.197659 | + | 1.50137i | ||||
\(916\) | −29.1488 | − | 15.2349i | −0.963105 | − | 0.503375i | ||||
\(917\) | 12.2367 | + | 37.3592i | 0.404091 | + | 1.23371i | ||||
\(918\) | −4.46923 | + | 9.56376i | −0.147507 | + | 0.315651i | ||||
\(919\) | −8.69186 | − | 32.4385i | −0.286718 | − | 1.07005i | −0.947575 | − | 0.319534i | \(-0.896474\pi\) |
0.660857 | − | 0.750512i | \(-0.270193\pi\) | |||||||
\(920\) | 32.2449 | + | 32.4043i | 1.06308 | + | 1.06834i | ||||
\(921\) | 1.00967 | − | 3.76814i | 0.0332698 | − | 0.124164i | ||||
\(922\) | −3.75763 | + | 21.2086i | −0.123751 | + | 0.698469i | ||||
\(923\) | −2.14188 | − | 0.887197i | −0.0705009 | − | 0.0292024i | ||||
\(924\) | −11.8882 | − | 31.7262i | −0.391092 | − | 1.04372i | ||||
\(925\) | 12.8189 | + | 30.9475i | 0.421482 | + | 1.01755i | ||||
\(926\) | −30.1196 | − | 19.2231i | −0.989790 | − | 0.631710i | ||||
\(927\) | −22.6155 | − | 39.1712i | −0.742791 | − | 1.28655i | ||||
\(928\) | 1.07525 | − | 0.894740i | 0.0352969 | − | 0.0293713i | ||||
\(929\) | 22.1332 | − | 38.3359i | 0.726168 | − | 1.25776i | −0.232324 | − | 0.972639i | \(-0.574633\pi\) |
0.958492 | − | 0.285121i | \(-0.0920338\pi\) | |||||||
\(930\) | 4.88702 | − | 109.859i | 0.160252 | − | 3.60242i | ||||
\(931\) | 8.38877 | + | 8.75644i | 0.274931 | + | 0.286981i | ||||
\(932\) | −18.3630 | + | 15.3570i | −0.601500 | + | 0.503036i | ||||
\(933\) | 43.6088 | − | 33.4622i | 1.42769 | − | 1.09550i | ||||
\(934\) | 12.4355 | + | 10.4520i | 0.406901 | + | 0.342001i | ||||
\(935\) | 19.3013 | − | 72.0335i | 0.631221 | − | 2.35575i | ||||
\(936\) | −7.29790 | − | 12.7126i | −0.238539 | − | 0.415525i | ||||
\(937\) | −30.0129 | + | 30.0129i | −0.980480 | + | 0.980480i | −0.999813 | − | 0.0193331i | \(-0.993846\pi\) |
0.0193331 | + | 0.999813i | \(0.493846\pi\) | |||||||
\(938\) | −30.4071 | + | 31.0384i | −0.992826 | + | 1.01344i | ||||
\(939\) | −14.1342 | + | 34.1230i | −0.461252 | + | 1.11356i | ||||
\(940\) | 3.63588 | + | 5.72795i | 0.118589 | + | 0.186825i | ||||
\(941\) | −9.67554 | − | 7.42430i | −0.315414 | − | 0.242025i | 0.438906 | − | 0.898533i | \(-0.355366\pi\) |
−0.754319 | + | 0.656508i | \(0.772033\pi\) | |||||||
\(942\) | −49.2797 | − | 15.5824i | −1.60562 | − | 0.507701i | ||||
\(943\) | −4.68741 | − | 2.70628i | −0.152643 | − | 0.0881284i | ||||
\(944\) | −4.83662 | − | 3.10367i | −0.157419 | − | 0.101016i | ||||
\(945\) | −5.64217 | − | 6.57452i | −0.183540 | − | 0.213869i | ||||
\(946\) | −13.8533 | − | 15.1432i | −0.450409 | − | 0.492348i | ||||
\(947\) | 5.79803 | − | 44.0404i | 0.188411 | − | 1.43112i | −0.592042 | − | 0.805907i | \(-0.701678\pi\) |
0.780453 | − | 0.625214i | \(-0.214988\pi\) | |||||||
\(948\) | −1.51961 | − | 1.39707i | −0.0493547 | − | 0.0453748i | ||||
\(949\) | 28.3123 | − | 3.72739i | 0.919057 | − | 0.120996i | ||||
\(950\) | 14.2432 | − | 9.95579i | 0.462112 | − | 0.323008i | ||||
\(951\) | −12.2797 | + | 12.2797i | −0.398196 | + | 0.398196i | ||||
\(952\) | 44.0815 | + | 39.6989i | 1.42869 | + | 1.28665i | ||||
\(953\) | −18.1908 | − | 18.1908i | −0.589258 | − | 0.589258i | 0.348173 | − | 0.937430i | \(-0.386802\pi\) |
−0.937430 | + | 0.348173i | \(0.886802\pi\) | |||||||
\(954\) | −27.5048 | − | 4.87315i | −0.890499 | − | 0.157774i | ||||
\(955\) | −7.14645 | − | 54.2827i | −0.231254 | − | 1.75655i | ||||
\(956\) | 38.4384 | − | 17.8473i | 1.24319 | − | 0.577222i | ||||
\(957\) | −1.56974 | − | 0.206661i | −0.0507426 | − | 0.00668039i | ||||
\(958\) | −3.95652 | − | 0.176004i | −0.127829 | − | 0.00568643i | ||||
\(959\) | 3.17892 | + | 16.9280i | 0.102653 | + | 0.546633i | ||||
\(960\) | 17.3561 | − | 63.5192i | 0.560167 | − | 2.05007i | ||||
\(961\) | −29.1239 | + | 50.4440i | −0.939479 | + | 1.62723i | ||||
\(962\) | −6.13199 | − | 11.8031i | −0.197703 | − | 0.380548i | ||||
\(963\) | −2.92309 | + | 3.80945i | −0.0941953 | + | 0.122758i | ||||
\(964\) | 5.00496 | + | 3.51679i | 0.161199 | + | 0.113268i | ||||
\(965\) | −46.0215 | − | 19.0627i | −1.48149 | − | 0.613651i | ||||
\(966\) | 35.8550 | + | 20.2126i | 1.15362 | + | 0.650331i | ||||
\(967\) | 6.72772 | + | 6.72772i | 0.216349 | + | 0.216349i | 0.806958 | − | 0.590609i | \(-0.201112\pi\) |
−0.590609 | + | 0.806958i | \(0.701112\pi\) | |||||||
\(968\) | −10.3290 | + | 1.33393i | −0.331986 | + | 0.0428741i | ||||
\(969\) | −31.3963 | − | 8.41261i | −1.00859 | − | 0.270252i | ||||
\(970\) | 3.82350 | + | 44.1204i | 0.122765 | + | 1.41662i | ||||
\(971\) | 29.2178 | + | 38.0774i | 0.937645 | + | 1.22196i | 0.974897 | + | 0.222657i | \(0.0714728\pi\) |
−0.0372522 | + | 0.999306i | \(0.511860\pi\) | |||||||
\(972\) | 39.9383 | − | 12.5203i | 1.28102 | − | 0.401590i | ||||
\(973\) | −0.0228997 | + | 0.00125453i | −0.000734131 | + | 4.02185e-5i | ||||
\(974\) | −12.1028 | − | 13.2297i | −0.387799 | − | 0.423907i | ||||
\(975\) | 28.9579 | + | 16.7188i | 0.927394 | + | 0.535431i | ||||
\(976\) | 16.4617 | − | 14.9851i | 0.526926 | − | 0.479661i | ||||
\(977\) | −10.7981 | + | 6.23428i | −0.345462 | + | 0.199452i | −0.662685 | − | 0.748899i | \(-0.730583\pi\) |
0.317223 | + | 0.948351i | \(0.397250\pi\) | |||||||
\(978\) | −4.23634 | − | 19.1835i | −0.135463 | − | 0.613420i | ||||
\(979\) | 17.9762 | − | 7.44599i | 0.574522 | − | 0.237975i | ||||
\(980\) | −44.5874 | + | 19.5514i | −1.42429 | + | 0.624547i | ||||
\(981\) | −8.31348 | + | 20.0705i | −0.265429 | + | 0.640803i | ||||
\(982\) | 33.4269 | + | 47.8221i | 1.06669 | + | 1.52607i | ||||
\(983\) | 6.79271 | + | 1.82010i | 0.216654 | + | 0.0580522i | 0.365513 | − | 0.930806i | \(-0.380894\pi\) |
−0.148859 | + | 0.988858i | \(0.547560\pi\) | |||||||
\(984\) | −0.0192261 | + | 7.79636i | −0.000612905 | + | 0.248539i | ||||
\(985\) | −31.3824 | + | 8.40890i | −0.999927 | + | 0.267930i | ||||
\(986\) | 2.60584 | − | 0.946024i | 0.0829869 | − | 0.0301275i | ||||
\(987\) | 4.54923 | + | 4.07667i | 0.144804 | + | 0.129762i | ||||
\(988\) | −5.29321 | + | 4.42672i | −0.168400 | + | 0.140833i | ||||
\(989\) | 24.7203 | + | 3.25449i | 0.786060 | + | 0.103487i | ||||
\(990\) | −30.7206 | + | 15.9600i | −0.976363 | + | 0.507243i | ||||
\(991\) | 14.3047 | + | 24.7765i | 0.454404 | + | 0.787050i | 0.998654 | − | 0.0518729i | \(-0.0165191\pi\) |
−0.544250 | + | 0.838923i | \(0.683186\pi\) | |||||||
\(992\) | −36.2658 | + | 39.2520i | −1.15144 | + | 1.24625i | ||||
\(993\) | 1.89320 | 0.0600787 | ||||||||
\(994\) | −2.68681 | − | 3.42802i | −0.0852205 | − | 0.108730i | ||||
\(995\) | 12.5674 | + | 30.3404i | 0.398414 | + | 0.961855i | ||||
\(996\) | −43.8795 | + | 7.66278i | −1.39038 | + | 0.242805i | ||||
\(997\) | 5.68821 | + | 43.2063i | 0.180148 | + | 1.36836i | 0.807613 | + | 0.589712i | \(0.200759\pi\) |
−0.627466 | + | 0.778644i | \(0.715908\pi\) | |||||||
\(998\) | −13.1871 | − | 11.0837i | −0.417429 | − | 0.350850i | ||||
\(999\) | 4.29518 | − | 1.15089i | 0.135893 | − | 0.0364125i |
(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 | 224.2.bd.a.37.9 | ✓ | 240 | |
4.3 | odd | 2 | 896.2.bh.a.625.27 | 240 | |||
7.4 | even | 3 | inner | 224.2.bd.a.165.11 | yes | 240 | |
28.11 | odd | 6 | 896.2.bh.a.753.4 | 240 | |||
32.13 | even | 8 | inner | 224.2.bd.a.205.11 | yes | 240 | |
32.19 | odd | 8 | 896.2.bh.a.401.4 | 240 | |||
224.109 | even | 24 | inner | 224.2.bd.a.109.9 | yes | 240 | |
224.179 | odd | 24 | 896.2.bh.a.529.27 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.bd.a.37.9 | ✓ | 240 | 1.1 | even | 1 | trivial | |
224.2.bd.a.109.9 | yes | 240 | 224.109 | even | 24 | inner | |
224.2.bd.a.165.11 | yes | 240 | 7.4 | even | 3 | inner | |
224.2.bd.a.205.11 | yes | 240 | 32.13 | even | 8 | inner | |
896.2.bh.a.401.4 | 240 | 32.19 | odd | 8 | |||
896.2.bh.a.529.27 | 240 | 224.179 | odd | 24 | |||
896.2.bh.a.625.27 | 240 | 4.3 | odd | 2 | |||
896.2.bh.a.753.4 | 240 | 28.11 | odd | 6 |