Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [170,2,Mod(23,170)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(170, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([12, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("170.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 170 = 2 \cdot 5 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 170.r (of order \(16\), 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: | \(1.35745683436\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 107.2 | ||
Character | \(\chi\) | \(=\) | 170.107 |
Dual form | 170.2.r.b.143.2 |
$q$-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 \(\left(\mathbb{Z}/170\mathbb{Z}\right)^\times\).
\(n\) | \(71\) | \(137\) |
\(\chi(n)\) | \(e\left(\frac{5}{16}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.382683 | + | 0.923880i | −0.270598 | + | 0.653281i | ||||
\(3\) | −1.27477 | − | 0.253568i | −0.735989 | − | 0.146397i | −0.187157 | − | 0.982330i | \(-0.559927\pi\) |
−0.548832 | + | 0.835933i | \(0.684927\pi\) | |||||||
\(4\) | −0.707107 | − | 0.707107i | −0.353553 | − | 0.353553i | ||||
\(5\) | −1.36286 | + | 1.77274i | −0.609491 | + | 0.792793i | ||||
\(6\) | 0.722100 | − | 1.08070i | 0.294796 | − | 0.441193i | ||||
\(7\) | −0.128721 | + | 0.192645i | −0.0486521 | + | 0.0728131i | −0.854998 | − | 0.518631i | \(-0.826442\pi\) |
0.806346 | + | 0.591444i | \(0.201442\pi\) | |||||||
\(8\) | 0.923880 | − | 0.382683i | 0.326641 | − | 0.135299i | ||||
\(9\) | −1.21089 | − | 0.501569i | −0.403632 | − | 0.167190i | ||||
\(10\) | −1.11625 | − | 1.93752i | −0.352990 | − | 0.612697i | ||||
\(11\) | −3.12235 | − | 2.08629i | −0.941425 | − | 0.629040i | −0.0127435 | − | 0.999919i | \(-0.504056\pi\) |
−0.928681 | + | 0.370879i | \(0.879056\pi\) | |||||||
\(12\) | 0.722100 | + | 1.08070i | 0.208452 | + | 0.311971i | ||||
\(13\) | −6.31661 | −1.75191 | −0.875956 | − | 0.482392i | \(-0.839768\pi\) | ||||
−0.875956 | + | 0.482392i | \(0.839768\pi\) | |||||||
\(14\) | −0.128721 | − | 0.192645i | −0.0344023 | − | 0.0514866i | ||||
\(15\) | 2.18685 | − | 1.91426i | 0.564642 | − | 0.494259i | ||||
\(16\) | 1.00000i | 0.250000i | ||||||||
\(17\) | −2.15330 | + | 3.51615i | −0.522252 | + | 0.852791i | ||||
\(18\) | 0.926779 | − | 0.926779i | 0.218444 | − | 0.218444i | ||||
\(19\) | 5.28368 | − | 2.18857i | 1.21216 | − | 0.502092i | 0.317250 | − | 0.948342i | \(-0.397241\pi\) |
0.894909 | + | 0.446249i | \(0.147241\pi\) | |||||||
\(20\) | 2.21721 | − | 0.289826i | 0.495782 | − | 0.0648071i | ||||
\(21\) | 0.212939 | − | 0.212939i | 0.0464671 | − | 0.0464671i | ||||
\(22\) | 3.12235 | − | 2.08629i | 0.665688 | − | 0.444798i | ||||
\(23\) | 1.67699 | + | 8.43077i | 0.349676 | + | 1.75794i | 0.609985 | + | 0.792413i | \(0.291175\pi\) |
−0.260310 | + | 0.965525i | \(0.583825\pi\) | |||||||
\(24\) | −1.27477 | + | 0.253568i | −0.260211 | + | 0.0517593i | ||||
\(25\) | −1.28521 | − | 4.83200i | −0.257042 | − | 0.966400i | ||||
\(26\) | 2.41726 | − | 5.83578i | 0.474064 | − | 1.14449i | ||||
\(27\) | 4.65853 | + | 3.11273i | 0.896534 | + | 0.599045i | ||||
\(28\) | 0.227241 | − | 0.0452010i | 0.0429444 | − | 0.00854218i | ||||
\(29\) | 0.221089 | − | 1.11149i | 0.0410552 | − | 0.206398i | −0.954813 | − | 0.297207i | \(-0.903945\pi\) |
0.995868 | + | 0.0908081i | \(0.0289450\pi\) | |||||||
\(30\) | 0.931673 | + | 2.75294i | 0.170099 | + | 0.502615i | ||||
\(31\) | −1.28229 | + | 0.856800i | −0.230306 | + | 0.153886i | −0.665370 | − | 0.746514i | \(-0.731726\pi\) |
0.435063 | + | 0.900400i | \(0.356726\pi\) | |||||||
\(32\) | −0.923880 | − | 0.382683i | −0.163320 | − | 0.0676495i | ||||
\(33\) | 3.45127 | + | 3.45127i | 0.600789 | + | 0.600789i | ||||
\(34\) | −2.42446 | − | 3.33496i | −0.415792 | − | 0.571941i | ||||
\(35\) | −0.166080 | − | 0.490739i | −0.0280727 | − | 0.0829500i | ||||
\(36\) | 0.501569 | + | 1.21089i | 0.0835949 | + | 0.201816i | ||||
\(37\) | 0.0492911 | − | 0.247803i | 0.00810341 | − | 0.0407386i | −0.976522 | − | 0.215418i | \(-0.930889\pi\) |
0.984625 | + | 0.174679i | \(0.0558888\pi\) | |||||||
\(38\) | 5.71901i | 0.927746i | ||||||||
\(39\) | 8.05222 | + | 1.60169i | 1.28939 | + | 0.256475i | ||||
\(40\) | −0.580724 | + | 2.15934i | −0.0918205 | + | 0.341422i | ||||
\(41\) | 1.06798 | + | 5.36909i | 0.166790 | + | 0.838510i | 0.970054 | + | 0.242888i | \(0.0780947\pi\) |
−0.803264 | + | 0.595623i | \(0.796905\pi\) | |||||||
\(42\) | 0.115242 | + | 0.278218i | 0.0177822 | + | 0.0429300i | ||||
\(43\) | −3.68348 | − | 8.89270i | −0.561725 | − | 1.35612i | −0.908386 | − | 0.418133i | \(-0.862685\pi\) |
0.346661 | − | 0.937991i | \(-0.387315\pi\) | |||||||
\(44\) | 0.732607 | + | 3.68307i | 0.110445 | + | 0.555243i | ||||
\(45\) | 2.53944 | − | 1.46303i | 0.378557 | − | 0.218096i | ||||
\(46\) | −8.43077 | − | 1.67699i | −1.24305 | − | 0.247258i | ||||
\(47\) | 4.58562i | 0.668882i | 0.942417 | + | 0.334441i | \(0.108547\pi\) | ||||
−0.942417 | + | 0.334441i | \(0.891453\pi\) | |||||||
\(48\) | 0.253568 | − | 1.27477i | 0.0365993 | − | 0.183997i | ||||
\(49\) | 2.65824 | + | 6.41756i | 0.379749 | + | 0.916795i | ||||
\(50\) | 4.95602 | + | 0.661750i | 0.700886 | + | 0.0935856i | ||||
\(51\) | 3.63655 | − | 3.93627i | 0.509218 | − | 0.551189i | ||||
\(52\) | 4.46651 | + | 4.46651i | 0.619394 | + | 0.619394i | ||||
\(53\) | −5.77959 | − | 2.39399i | −0.793888 | − | 0.328839i | −0.0513825 | − | 0.998679i | \(-0.516363\pi\) |
−0.742506 | + | 0.669840i | \(0.766363\pi\) | |||||||
\(54\) | −4.65853 | + | 3.11273i | −0.633945 | + | 0.423589i | ||||
\(55\) | 7.95379 | − | 2.69179i | 1.07249 | − | 0.362961i | ||||
\(56\) | −0.0452010 | + | 0.227241i | −0.00604023 | + | 0.0303663i | ||||
\(57\) | −7.29043 | + | 1.45016i | −0.965641 | + | 0.192078i | ||||
\(58\) | 0.942276 | + | 0.629608i | 0.123727 | + | 0.0826716i | ||||
\(59\) | −0.547416 | + | 1.32158i | −0.0712674 | + | 0.172055i | −0.955499 | − | 0.294993i | \(-0.904683\pi\) |
0.884232 | + | 0.467048i | \(0.154683\pi\) | |||||||
\(60\) | −2.89992 | − | 0.192750i | −0.374378 | − | 0.0248839i | ||||
\(61\) | −10.1829 | + | 2.02550i | −1.30379 | + | 0.259339i | −0.797653 | − | 0.603117i | \(-0.793925\pi\) |
−0.506133 | + | 0.862456i | \(0.668925\pi\) | |||||||
\(62\) | −0.300868 | − | 1.51257i | −0.0382103 | − | 0.192096i | ||||
\(63\) | 0.252493 | − | 0.168710i | 0.0318111 | − | 0.0212555i | ||||
\(64\) | 0.707107 | − | 0.707107i | 0.0883883 | − | 0.0883883i | ||||
\(65\) | 8.60867 | − | 11.1977i | 1.06777 | − | 1.38890i | ||||
\(66\) | −4.50930 | + | 1.86781i | −0.555056 | + | 0.229912i | ||||
\(67\) | −0.973313 | + | 0.973313i | −0.118909 | + | 0.118909i | −0.764057 | − | 0.645148i | \(-0.776796\pi\) |
0.645148 | + | 0.764057i | \(0.276796\pi\) | |||||||
\(68\) | 4.00891 | − | 0.963677i | 0.486151 | − | 0.116863i | ||||
\(69\) | − | 11.1725i | − | 1.34501i | ||||||
\(70\) | 0.516939 | + | 0.0343596i | 0.0617861 | + | 0.00410676i | ||||
\(71\) | −1.06710 | − | 1.59702i | −0.126641 | − | 0.189532i | 0.762731 | − | 0.646716i | \(-0.223858\pi\) |
−0.889372 | + | 0.457184i | \(0.848858\pi\) | |||||||
\(72\) | −1.31066 | −0.154463 | ||||||||
\(73\) | −1.07259 | − | 1.60525i | −0.125537 | − | 0.187880i | 0.763377 | − | 0.645953i | \(-0.223540\pi\) |
−0.888915 | + | 0.458073i | \(0.848540\pi\) | |||||||
\(74\) | 0.210077 | + | 0.140369i | 0.0244210 | + | 0.0163176i | ||||
\(75\) | 0.413106 | + | 6.48558i | 0.0477013 | + | 0.748890i | ||||
\(76\) | −5.28368 | − | 2.18857i | −0.606079 | − | 0.251046i | ||||
\(77\) | 0.803827 | − | 0.332956i | 0.0916046 | − | 0.0379439i | ||||
\(78\) | −4.56122 | + | 6.82635i | −0.516456 | + | 0.772931i | ||||
\(79\) | 0.466756 | − | 0.698549i | 0.0525141 | − | 0.0785929i | −0.804283 | − | 0.594246i | \(-0.797451\pi\) |
0.856798 | + | 0.515653i | \(0.172451\pi\) | |||||||
\(80\) | −1.77274 | − | 1.36286i | −0.198198 | − | 0.152373i | ||||
\(81\) | −2.36893 | − | 2.36893i | −0.263214 | − | 0.263214i | ||||
\(82\) | −5.36909 | − | 1.06798i | −0.592916 | − | 0.117938i | ||||
\(83\) | 5.53052 | − | 13.3518i | 0.607053 | − | 1.46556i | −0.259137 | − | 0.965841i | \(-0.583438\pi\) |
0.866190 | − | 0.499715i | \(-0.166562\pi\) | |||||||
\(84\) | −0.301141 | −0.0328572 | ||||||||
\(85\) | −3.29856 | − | 8.60927i | −0.357779 | − | 0.933806i | ||||
\(86\) | 9.62539 | 1.03793 | ||||||||
\(87\) | −0.563676 | + | 1.36083i | −0.0604324 | + | 0.145897i | ||||
\(88\) | −3.68307 | − | 0.732607i | −0.392616 | − | 0.0780962i | ||||
\(89\) | −9.96203 | − | 9.96203i | −1.05597 | − | 1.05597i | −0.998338 | − | 0.0576355i | \(-0.981644\pi\) |
−0.0576355 | − | 0.998338i | \(-0.518356\pi\) | |||||||
\(90\) | 0.379864 | + | 2.90601i | 0.0400412 | + | 0.306320i | ||||
\(91\) | 0.813083 | − | 1.21686i | 0.0852342 | − | 0.127562i | ||||
\(92\) | 4.77565 | − | 7.14727i | 0.497896 | − | 0.745154i | ||||
\(93\) | 1.85189 | − | 0.767076i | 0.192032 | − | 0.0795421i | ||||
\(94\) | −4.23656 | − | 1.75484i | −0.436968 | − | 0.180998i | ||||
\(95\) | −3.32116 | + | 12.3493i | −0.340744 | + | 1.26701i | ||||
\(96\) | 1.08070 | + | 0.722100i | 0.110298 | + | 0.0736990i | ||||
\(97\) | 2.79946 | + | 4.18968i | 0.284242 | + | 0.425398i | 0.945925 | − | 0.324386i | \(-0.105158\pi\) |
−0.661683 | + | 0.749784i | \(0.730158\pi\) | |||||||
\(98\) | −6.94632 | −0.701684 | ||||||||
\(99\) | 2.73442 | + | 4.09235i | 0.274820 | + | 0.411297i | ||||
\(100\) | −2.50796 | + | 4.32552i | −0.250796 | + | 0.432552i | ||||
\(101\) | 17.9673i | 1.78781i | 0.448252 | + | 0.893907i | \(0.352047\pi\) | ||||
−0.448252 | + | 0.893907i | \(0.647953\pi\) | |||||||
\(102\) | 2.24500 | + | 4.86608i | 0.222288 | + | 0.481814i | ||||
\(103\) | 2.05246 | − | 2.05246i | 0.202235 | − | 0.202235i | −0.598722 | − | 0.800957i | \(-0.704325\pi\) |
0.800957 | + | 0.598722i | \(0.204325\pi\) | |||||||
\(104\) | −5.83578 | + | 2.41726i | −0.572246 | + | 0.237032i | ||||
\(105\) | 0.0872785 | + | 0.667692i | 0.00851751 | + | 0.0651600i | ||||
\(106\) | 4.42351 | − | 4.42351i | 0.429649 | − | 0.429649i | ||||
\(107\) | −4.69092 | + | 3.13437i | −0.453489 | + | 0.303011i | −0.761257 | − | 0.648450i | \(-0.775418\pi\) |
0.307769 | + | 0.951461i | \(0.400418\pi\) | |||||||
\(108\) | −1.09304 | − | 5.49511i | −0.105178 | − | 0.528767i | ||||
\(109\) | 0.783289 | − | 0.155806i | 0.0750255 | − | 0.0149235i | −0.157435 | − | 0.987529i | \(-0.550322\pi\) |
0.232460 | + | 0.972606i | \(0.425322\pi\) | |||||||
\(110\) | −0.556893 | + | 8.37844i | −0.0530977 | + | 0.798853i | ||||
\(111\) | −0.125670 | + | 0.303394i | −0.0119280 | + | 0.0287968i | ||||
\(112\) | −0.192645 | − | 0.128721i | −0.0182033 | − | 0.0121630i | ||||
\(113\) | −4.52373 | + | 0.899825i | −0.425556 | + | 0.0846484i | −0.403222 | − | 0.915102i | \(-0.632110\pi\) |
−0.0223342 | + | 0.999751i | \(0.507110\pi\) | |||||||
\(114\) | 1.45016 | − | 7.29043i | 0.135820 | − | 0.682811i | ||||
\(115\) | −17.2311 | − | 8.51714i | −1.60681 | − | 0.794227i | ||||
\(116\) | −0.942276 | + | 0.629608i | −0.0874881 | + | 0.0584577i | ||||
\(117\) | 7.64875 | + | 3.16821i | 0.707127 | + | 0.292902i | ||||
\(118\) | −1.01149 | − | 1.01149i | −0.0931154 | − | 0.0931154i | ||||
\(119\) | −0.400193 | − | 0.867427i | −0.0366856 | − | 0.0795169i | ||||
\(120\) | 1.28783 | − | 2.60541i | 0.117562 | − | 0.237841i | ||||
\(121\) | 1.18696 | + | 2.86559i | 0.107906 | + | 0.260508i | ||||
\(122\) | 2.02550 | − | 10.1829i | 0.183380 | − | 0.921916i | ||||
\(123\) | − | 7.11516i | − | 0.641552i | ||||||
\(124\) | 1.51257 | + | 0.300868i | 0.135832 | + | 0.0270188i | ||||
\(125\) | 10.3174 | + | 4.30702i | 0.922820 | + | 0.385232i | ||||
\(126\) | 0.0592432 | + | 0.297836i | 0.00527781 | + | 0.0265333i | ||||
\(127\) | −4.65967 | − | 11.2494i | −0.413479 | − | 0.998227i | −0.984196 | − | 0.177080i | \(-0.943335\pi\) |
0.570717 | − | 0.821146i | \(-0.306665\pi\) | |||||||
\(128\) | 0.382683 | + | 0.923880i | 0.0338248 | + | 0.0816602i | ||||
\(129\) | 2.44069 | + | 12.2702i | 0.214890 | + | 1.08033i | ||||
\(130\) | 7.05093 | + | 12.2385i | 0.618407 | + | 1.07339i | ||||
\(131\) | 10.1457 | + | 2.01810i | 0.886430 | + | 0.176322i | 0.617249 | − | 0.786768i | \(-0.288247\pi\) |
0.269181 | + | 0.963090i | \(0.413247\pi\) | |||||||
\(132\) | − | 4.88083i | − | 0.424822i | ||||||
\(133\) | −0.258505 | + | 1.29959i | −0.0224152 | + | 0.112689i | ||||
\(134\) | −0.526753 | − | 1.27169i | −0.0455045 | − | 0.109858i | ||||
\(135\) | −11.8670 | + | 4.01613i | −1.02135 | + | 0.345653i | ||||
\(136\) | −0.643820 | + | 4.07253i | −0.0552071 | + | 0.349217i | ||||
\(137\) | −3.73375 | − | 3.73375i | −0.318996 | − | 0.318996i | 0.529386 | − | 0.848381i | \(-0.322422\pi\) |
−0.848381 | + | 0.529386i | \(0.822422\pi\) | |||||||
\(138\) | 10.3221 | + | 4.27554i | 0.878673 | + | 0.363958i | ||||
\(139\) | −6.87456 | + | 4.59343i | −0.583093 | + | 0.389610i | −0.811844 | − | 0.583875i | \(-0.801536\pi\) |
0.228751 | + | 0.973485i | \(0.426536\pi\) | |||||||
\(140\) | −0.229568 | + | 0.464441i | −0.0194021 | + | 0.0392524i | ||||
\(141\) | 1.16277 | − | 5.84562i | 0.0979225 | − | 0.492290i | ||||
\(142\) | 1.88382 | − | 0.374714i | 0.158086 | − | 0.0314453i | ||||
\(143\) | 19.7227 | + | 13.1783i | 1.64929 | + | 1.10202i | ||||
\(144\) | 0.501569 | − | 1.21089i | 0.0417974 | − | 0.100908i | ||||
\(145\) | 1.66907 | + | 1.90674i | 0.138608 | + | 0.158346i | ||||
\(146\) | 1.89352 | − | 0.376644i | 0.156709 | − | 0.0311713i | ||||
\(147\) | −1.76136 | − | 8.85496i | −0.145275 | − | 0.730345i | ||||
\(148\) | −0.210077 | + | 0.140369i | −0.0172683 | + | 0.0115383i | ||||
\(149\) | −4.98028 | + | 4.98028i | −0.408001 | + | 0.408001i | −0.881041 | − | 0.473040i | \(-0.843157\pi\) |
0.473040 | + | 0.881041i | \(0.343157\pi\) | |||||||
\(150\) | −6.14998 | − | 2.10026i | −0.502144 | − | 0.171486i | ||||
\(151\) | 2.32478 | − | 0.962954i | 0.189188 | − | 0.0783641i | −0.286078 | − | 0.958206i | \(-0.592352\pi\) |
0.475266 | + | 0.879842i | \(0.342352\pi\) | |||||||
\(152\) | 4.04395 | − | 4.04395i | 0.328008 | − | 0.328008i | ||||
\(153\) | 4.37101 | − | 3.17766i | 0.353375 | − | 0.256898i | ||||
\(154\) | 0.870057i | 0.0701112i | ||||||||
\(155\) | 0.228706 | − | 3.44087i | 0.0183701 | − | 0.276377i | ||||
\(156\) | −4.56122 | − | 6.82635i | −0.365190 | − | 0.546545i | ||||
\(157\) | 7.63886 | 0.609647 | 0.304824 | − | 0.952409i | \(-0.401403\pi\) | ||||
0.304824 | + | 0.952409i | \(0.401403\pi\) | |||||||
\(158\) | 0.466756 | + | 0.698549i | 0.0371331 | + | 0.0555736i | ||||
\(159\) | 6.76062 | + | 4.51730i | 0.536152 | + | 0.358245i | ||||
\(160\) | 1.93752 | − | 1.11625i | 0.153174 | − | 0.0882475i | ||||
\(161\) | −1.84001 | − | 0.762158i | −0.145013 | − | 0.0600665i | ||||
\(162\) | 3.09516 | − | 1.28206i | 0.243178 | − | 0.100728i | ||||
\(163\) | −12.9767 | + | 19.4210i | −1.01641 | + | 1.52117i | −0.172267 | + | 0.985050i | \(0.555109\pi\) |
−0.844144 | + | 0.536116i | \(0.819891\pi\) | |||||||
\(164\) | 3.04134 | − | 4.55169i | 0.237489 | − | 0.355427i | ||||
\(165\) | −10.8218 | + | 1.41459i | −0.842476 | + | 0.110126i | ||||
\(166\) | 10.2191 | + | 10.2191i | 0.793153 | + | 0.793153i | ||||
\(167\) | −0.898816 | − | 0.178786i | −0.0695525 | − | 0.0138348i | 0.160191 | − | 0.987086i | \(-0.448789\pi\) |
−0.229744 | + | 0.973251i | \(0.573789\pi\) | |||||||
\(168\) | 0.115242 | − | 0.278218i | 0.00889109 | − | 0.0214650i | ||||
\(169\) | 26.8995 | 2.06919 | ||||||||
\(170\) | 9.21623 | + | 0.247156i | 0.706853 | + | 0.0189560i | ||||
\(171\) | −7.49570 | −0.573210 | ||||||||
\(172\) | −3.68348 | + | 8.89270i | −0.280862 | + | 0.678062i | ||||
\(173\) | −5.35479 | − | 1.06513i | −0.407117 | − | 0.0809807i | −0.0127164 | − | 0.999919i | \(-0.504048\pi\) |
−0.394401 | + | 0.918938i | \(0.629048\pi\) | |||||||
\(174\) | −1.04154 | − | 1.04154i | −0.0789587 | − | 0.0789587i | ||||
\(175\) | 1.09630 | + | 0.374393i | 0.0828722 | + | 0.0283015i | ||||
\(176\) | 2.08629 | − | 3.12235i | 0.157260 | − | 0.235356i | ||||
\(177\) | 1.03294 | − | 1.54590i | 0.0776404 | − | 0.116197i | ||||
\(178\) | 13.0160 | − | 5.39141i | 0.975592 | − | 0.404103i | ||||
\(179\) | −4.10947 | − | 1.70220i | −0.307156 | − | 0.127228i | 0.223781 | − | 0.974639i | \(-0.428160\pi\) |
−0.530937 | + | 0.847411i | \(0.678160\pi\) | |||||||
\(180\) | −2.83017 | − | 0.761133i | −0.210948 | − | 0.0567315i | ||||
\(181\) | 13.3461 | + | 8.91757i | 0.992007 | + | 0.662838i | 0.941896 | − | 0.335906i | \(-0.109042\pi\) |
0.0501114 | + | 0.998744i | \(0.484042\pi\) | |||||||
\(182\) | 0.813083 | + | 1.21686i | 0.0602697 | + | 0.0902000i | ||||
\(183\) | 13.4945 | 0.997539 | ||||||||
\(184\) | 4.77565 | + | 7.14727i | 0.352066 | + | 0.526903i | ||||
\(185\) | 0.372113 | + | 0.425102i | 0.0273583 | + | 0.0312541i | ||||
\(186\) | 2.00447i | 0.146975i | ||||||||
\(187\) | 14.0591 | − | 6.48624i | 1.02810 | − | 0.474321i | ||||
\(188\) | 3.24253 | − | 3.24253i | 0.236485 | − | 0.236485i | ||||
\(189\) | −1.19930 | + | 0.496768i | −0.0872366 | + | 0.0361346i | ||||
\(190\) | −10.1383 | − | 7.79423i | −0.735511 | − | 0.565453i | ||||
\(191\) | 1.07106 | − | 1.07106i | 0.0774988 | − | 0.0774988i | −0.667295 | − | 0.744794i | \(-0.732548\pi\) |
0.744794 | + | 0.667295i | \(0.232548\pi\) | |||||||
\(192\) | −1.08070 | + | 0.722100i | −0.0779927 | + | 0.0521130i | ||||
\(193\) | 0.838060 | + | 4.21321i | 0.0603249 | + | 0.303274i | 0.999155 | − | 0.0411078i | \(-0.0130887\pi\) |
−0.938830 | + | 0.344381i | \(0.888089\pi\) | |||||||
\(194\) | −4.94207 | + | 0.983039i | −0.354820 | + | 0.0705781i | ||||
\(195\) | −13.8135 | + | 12.0916i | −0.989202 | + | 0.865898i | ||||
\(196\) | 2.65824 | − | 6.41756i | 0.189874 | − | 0.458397i | ||||
\(197\) | −13.5854 | − | 9.07745i | −0.967917 | − | 0.646742i | −0.0321958 | − | 0.999482i | \(-0.510250\pi\) |
−0.935721 | + | 0.352740i | \(0.885250\pi\) | |||||||
\(198\) | −4.82726 | + | 0.960202i | −0.343058 | + | 0.0682386i | ||||
\(199\) | 2.47583 | − | 12.4469i | 0.175507 | − | 0.882334i | −0.788209 | − | 0.615407i | \(-0.788992\pi\) |
0.963717 | − | 0.266927i | \(-0.0860083\pi\) | |||||||
\(200\) | −3.03650 | − | 3.97236i | −0.214713 | − | 0.280888i | ||||
\(201\) | 1.48755 | − | 0.993950i | 0.104924 | − | 0.0701078i | ||||
\(202\) | −16.5996 | − | 6.87579i | −1.16795 | − | 0.483779i | ||||
\(203\) | 0.185664 | + | 0.185664i | 0.0130311 | + | 0.0130311i | ||||
\(204\) | −5.35479 | + | 0.211939i | −0.374910 | + | 0.0148387i | ||||
\(205\) | −10.9735 | − | 5.42408i | −0.766422 | − | 0.378835i | ||||
\(206\) | 1.11078 | + | 2.68167i | 0.0773920 | + | 0.186841i | ||||
\(207\) | 2.19796 | − | 11.0499i | 0.152769 | − | 0.768022i | ||||
\(208\) | − | 6.31661i | − | 0.437978i | ||||||
\(209\) | −21.0635 | − | 4.18979i | −1.45699 | − | 0.289814i | ||||
\(210\) | −0.650267 | − | 0.174880i | −0.0448727 | − | 0.0120678i | ||||
\(211\) | −2.36187 | − | 11.8739i | −0.162598 | − | 0.817434i | −0.972865 | − | 0.231373i | \(-0.925678\pi\) |
0.810267 | − | 0.586061i | \(-0.199322\pi\) | |||||||
\(212\) | 2.39399 | + | 5.77959i | 0.164420 | + | 0.396944i | ||||
\(213\) | 0.955350 | + | 2.30642i | 0.0654595 | + | 0.158033i | ||||
\(214\) | −1.10065 | − | 5.53332i | −0.0752386 | − | 0.378250i | ||||
\(215\) | 20.7845 | + | 5.58969i | 1.41749 | + | 0.381214i | ||||
\(216\) | 5.49511 | + | 1.09304i | 0.373895 | + | 0.0743723i | ||||
\(217\) | − | 0.357316i | − | 0.0242562i | ||||||
\(218\) | −0.155806 | + | 0.783289i | −0.0105525 | + | 0.0530511i | ||||
\(219\) | 0.960270 | + | 2.31830i | 0.0648890 | + | 0.156656i | ||||
\(220\) | −7.52756 | − | 3.72079i | −0.507508 | − | 0.250856i | ||||
\(221\) | 13.6016 | − | 22.2101i | 0.914940 | − | 1.49401i | ||||
\(222\) | −0.232207 | − | 0.232207i | −0.0155847 | − | 0.0155847i | ||||
\(223\) | 5.11747 | + | 2.11973i | 0.342691 | + | 0.141947i | 0.547390 | − | 0.836878i | \(-0.315621\pi\) |
−0.204699 | + | 0.978825i | \(0.565621\pi\) | |||||||
\(224\) | 0.192645 | − | 0.128721i | 0.0128717 | − | 0.00860056i | ||||
\(225\) | −0.867331 | + | 6.49567i | −0.0578221 | + | 0.433044i | ||||
\(226\) | 0.899825 | − | 4.52373i | 0.0598555 | − | 0.300914i | ||||
\(227\) | −23.3969 | + | 4.65394i | −1.55291 | + | 0.308893i | −0.895646 | − | 0.444769i | \(-0.853286\pi\) |
−0.657263 | + | 0.753661i | \(0.728286\pi\) | |||||||
\(228\) | 6.18052 | + | 4.12969i | 0.409315 | + | 0.273496i | ||||
\(229\) | −9.50419 | + | 22.9451i | −0.628055 | + | 1.51626i | 0.213982 | + | 0.976838i | \(0.431357\pi\) |
−0.842037 | + | 0.539420i | \(0.818643\pi\) | |||||||
\(230\) | 14.4629 | − | 12.6601i | 0.953652 | − | 0.834780i | ||||
\(231\) | −1.10912 | + | 0.220618i | −0.0729749 | + | 0.0145156i | ||||
\(232\) | −0.221089 | − | 1.11149i | −0.0145152 | − | 0.0729729i | ||||
\(233\) | −16.2366 | + | 10.8489i | −1.06369 | + | 0.710738i | −0.958897 | − | 0.283755i | \(-0.908420\pi\) |
−0.104798 | + | 0.994494i | \(0.533420\pi\) | |||||||
\(234\) | −5.85410 | + | 5.85410i | −0.382694 | + | 0.382694i | ||||
\(235\) | −8.12911 | − | 6.24958i | −0.530285 | − | 0.407678i | ||||
\(236\) | 1.32158 | − | 0.547416i | 0.0860274 | − | 0.0356337i | ||||
\(237\) | −0.772136 | + | 0.772136i | −0.0501556 | + | 0.0501556i | ||||
\(238\) | 0.954545 | − | 0.0377802i | 0.0618740 | − | 0.00244893i | ||||
\(239\) | 9.42167i | 0.609437i | 0.952442 | + | 0.304718i | \(0.0985624\pi\) | ||||
−0.952442 | + | 0.304718i | \(0.901438\pi\) | |||||||
\(240\) | 1.91426 | + | 2.18685i | 0.123565 | + | 0.141160i | ||||
\(241\) | 15.3100 | + | 22.9131i | 0.986206 | + | 1.47596i | 0.876152 | + | 0.482035i | \(0.160102\pi\) |
0.110054 | + | 0.993926i | \(0.464898\pi\) | |||||||
\(242\) | −3.10169 | −0.199384 | ||||||||
\(243\) | −6.91903 | − | 10.3551i | −0.443856 | − | 0.664277i | ||||
\(244\) | 8.63264 | + | 5.76815i | 0.552648 | + | 0.369268i | ||||
\(245\) | −14.9995 | − | 4.03389i | −0.958282 | − | 0.257716i | ||||
\(246\) | 6.57355 | + | 2.72285i | 0.419114 | + | 0.173603i | ||||
\(247\) | −33.3749 | + | 13.8243i | −2.12359 | + | 0.879621i | ||||
\(248\) | −0.856800 | + | 1.28229i | −0.0544069 | + | 0.0814256i | ||||
\(249\) | −10.4357 | + | 15.6182i | −0.661338 | + | 0.989762i | ||||
\(250\) | −7.92748 | + | 7.88385i | −0.501378 | + | 0.498618i | ||||
\(251\) | −16.1723 | − | 16.1723i | −1.02079 | − | 1.02079i | −0.999779 | − | 0.0210077i | \(-0.993313\pi\) |
−0.0210077 | − | 0.999779i | \(-0.506687\pi\) | |||||||
\(252\) | −0.297836 | − | 0.0592432i | −0.0187619 | − | 0.00373197i | ||||
\(253\) | 12.3529 | − | 29.8225i | 0.776620 | − | 1.87493i | ||||
\(254\) | 12.1763 | 0.764010 | ||||||||
\(255\) | 2.02187 | + | 11.8113i | 0.126614 | + | 0.739649i | ||||
\(256\) | −1.00000 | −0.0625000 | ||||||||
\(257\) | 6.76367 | − | 16.3289i | 0.421906 | − | 1.01857i | −0.559879 | − | 0.828574i | \(-0.689152\pi\) |
0.981785 | − | 0.189996i | \(-0.0608476\pi\) | |||||||
\(258\) | −12.2702 | − | 2.44069i | −0.763907 | − | 0.151951i | ||||
\(259\) | 0.0413933 | + | 0.0413933i | 0.00257205 | + | 0.00257205i | ||||
\(260\) | −14.0052 | + | 1.83072i | −0.868567 | + | 0.113536i | ||||
\(261\) | −0.825205 | + | 1.23501i | −0.0510789 | + | 0.0764450i | ||||
\(262\) | −5.74705 | + | 8.60107i | −0.355054 | + | 0.531376i | ||||
\(263\) | 6.10353 | − | 2.52816i | 0.376360 | − | 0.155893i | −0.186481 | − | 0.982459i | \(-0.559708\pi\) |
0.562841 | + | 0.826565i | \(0.309708\pi\) | |||||||
\(264\) | 4.50930 | + | 1.86781i | 0.277528 | + | 0.114956i | ||||
\(265\) | 12.1207 | − | 6.98303i | 0.744569 | − | 0.428964i | ||||
\(266\) | −1.10174 | − | 0.736159i | −0.0675520 | − | 0.0451368i | ||||
\(267\) | 10.1733 | + | 15.2254i | 0.622593 | + | 0.931776i | ||||
\(268\) | 1.37647 | 0.0840814 | ||||||||
\(269\) | 5.36879 | + | 8.03497i | 0.327341 | + | 0.489901i | 0.958240 | − | 0.285964i | \(-0.0923139\pi\) |
−0.630899 | + | 0.775865i | \(0.717314\pi\) | |||||||
\(270\) | 0.830880 | − | 12.5006i | 0.0505658 | − | 0.760761i | ||||
\(271\) | 26.8606i | 1.63167i | 0.578287 | + | 0.815833i | \(0.303721\pi\) | ||||
−0.578287 | + | 0.815833i | \(0.696279\pi\) | |||||||
\(272\) | −3.51615 | − | 2.15330i | −0.213198 | − | 0.130563i | ||||
\(273\) | −1.34505 | + | 1.34505i | −0.0814062 | + | 0.0814062i | ||||
\(274\) | 4.87838 | − | 2.02069i | 0.294713 | − | 0.122074i | ||||
\(275\) | −6.06808 | + | 17.7685i | −0.365919 | + | 1.07148i | ||||
\(276\) | −7.90017 | + | 7.90017i | −0.475535 | + | 0.475535i | ||||
\(277\) | 18.0672 | − | 12.0722i | 1.08556 | − | 0.725345i | 0.121913 | − | 0.992541i | \(-0.461097\pi\) |
0.963642 | + | 0.267196i | \(0.0860970\pi\) | |||||||
\(278\) | −1.61300 | − | 8.10910i | −0.0967413 | − | 0.486351i | ||||
\(279\) | 1.98247 | − | 0.394337i | 0.118687 | − | 0.0236083i | ||||
\(280\) | −0.341236 | − | 0.389827i | −0.0203927 | − | 0.0232966i | ||||
\(281\) | 0.789615 | − | 1.90630i | 0.0471045 | − | 0.113720i | −0.898576 | − | 0.438818i | \(-0.855397\pi\) |
0.945680 | + | 0.325098i | \(0.105397\pi\) | |||||||
\(282\) | 4.95568 | + | 3.31128i | 0.295106 | + | 0.197184i | ||||
\(283\) | 5.91527 | − | 1.17662i | 0.351627 | − | 0.0699429i | −0.0161170 | − | 0.999870i | \(-0.505130\pi\) |
0.367744 | + | 0.929927i | \(0.380130\pi\) | |||||||
\(284\) | −0.374714 | + | 1.88382i | −0.0222352 | + | 0.111784i | ||||
\(285\) | 7.36511 | − | 14.9004i | 0.436271 | − | 0.882623i | ||||
\(286\) | −19.7227 | + | 13.1783i | −1.16623 | + | 0.779247i | ||||
\(287\) | −1.17180 | − | 0.485376i | −0.0691692 | − | 0.0286508i | ||||
\(288\) | 0.926779 | + | 0.926779i | 0.0546110 | + | 0.0546110i | ||||
\(289\) | −7.72658 | − | 15.1427i | −0.454505 | − | 0.890744i | ||||
\(290\) | −2.40032 | + | 0.812339i | −0.140952 | + | 0.0477022i | ||||
\(291\) | −2.50630 | − | 6.05074i | −0.146922 | − | 0.354701i | ||||
\(292\) | −0.376644 | + | 1.89352i | −0.0220414 | + | 0.110810i | ||||
\(293\) | 22.6254i | 1.32179i | 0.750478 | + | 0.660895i | \(0.229823\pi\) | ||||
−0.750478 | + | 0.660895i | \(0.770177\pi\) | |||||||
\(294\) | 8.85496 | + | 1.76136i | 0.516432 | + | 0.102725i | ||||
\(295\) | −1.59676 | − | 2.77156i | −0.0929670 | − | 0.161366i | ||||
\(296\) | −0.0492911 | − | 0.247803i | −0.00286499 | − | 0.0144033i | ||||
\(297\) | −8.05151 | − | 19.4381i | −0.467196 | − | 1.12791i | ||||
\(298\) | −2.69531 | − | 6.50705i | −0.156135 | − | 0.376943i | ||||
\(299\) | −10.5929 | − | 53.2539i | −0.612601 | − | 3.07975i | ||||
\(300\) | 4.29389 | − | 4.87811i | 0.247908 | − | 0.281638i | ||||
\(301\) | 2.18728 | + | 0.435077i | 0.126073 | + | 0.0250774i | ||||
\(302\) | 2.51632i | 0.144798i | ||||||||
\(303\) | 4.55593 | − | 22.9042i | 0.261731 | − | 1.31581i | ||||
\(304\) | 2.18857 | + | 5.28368i | 0.125523 | + | 0.303040i | ||||
\(305\) | 10.2872 | − | 20.8121i | 0.589043 | − | 1.19170i | ||||
\(306\) | 1.26306 | + | 5.25433i | 0.0722041 | + | 0.300370i | ||||
\(307\) | 16.4310 | + | 16.4310i | 0.937764 | + | 0.937764i | 0.998174 | − | 0.0604092i | \(-0.0192406\pi\) |
−0.0604092 | + | 0.998174i | \(0.519241\pi\) | |||||||
\(308\) | −0.803827 | − | 0.332956i | −0.0458023 | − | 0.0189719i | ||||
\(309\) | −3.13685 | + | 2.09598i | −0.178449 | + | 0.119236i | ||||
\(310\) | 3.09143 | + | 1.52806i | 0.175581 | + | 0.0867880i | ||||
\(311\) | 1.11477 | − | 5.60431i | 0.0632126 | − | 0.317791i | −0.936222 | − | 0.351409i | \(-0.885703\pi\) |
0.999435 | + | 0.0336174i | \(0.0107028\pi\) | |||||||
\(312\) | 8.05222 | − | 1.60169i | 0.455867 | − | 0.0906777i | ||||
\(313\) | −11.8948 | − | 7.94787i | −0.672335 | − | 0.449240i | 0.171970 | − | 0.985102i | \(-0.444987\pi\) |
−0.844306 | + | 0.535862i | \(0.819987\pi\) | |||||||
\(314\) | −2.92326 | + | 7.05738i | −0.164969 | + | 0.398271i | ||||
\(315\) | −0.0450339 | + | 0.677534i | −0.00253737 | + | 0.0381747i | ||||
\(316\) | −0.823995 | + | 0.163903i | −0.0463533 | + | 0.00922025i | ||||
\(317\) | −2.10050 | − | 10.5599i | −0.117976 | − | 0.593105i | −0.993866 | − | 0.110594i | \(-0.964725\pi\) |
0.875890 | − | 0.482511i | \(-0.160275\pi\) | |||||||
\(318\) | −6.76062 | + | 4.51730i | −0.379117 | + | 0.253318i | ||||
\(319\) | −3.00921 | + | 3.00921i | −0.168483 | + | 0.168483i | ||||
\(320\) | 0.289826 | + | 2.21721i | 0.0162018 | + | 0.123946i | ||||
\(321\) | 6.77462 | − | 2.80614i | 0.378123 | − | 0.156624i | ||||
\(322\) | 1.40828 | − | 1.40828i | 0.0784806 | − | 0.0784806i | ||||
\(323\) | −3.68201 | + | 23.2908i | −0.204873 | + | 1.29594i | ||||
\(324\) | 3.35017i | 0.186121i | ||||||||
\(325\) | 8.11815 | + | 30.5219i | 0.450314 | + | 1.69305i | ||||
\(326\) | −12.9767 | − | 19.4210i | −0.718711 | − | 1.07563i | ||||
\(327\) | −1.03802 | −0.0574027 | ||||||||
\(328\) | 3.04134 | + | 4.55169i | 0.167930 | + | 0.251325i | ||||
\(329\) | −0.883399 | − | 0.590268i | −0.0487033 | − | 0.0325425i | ||||
\(330\) | 2.83441 | − | 10.5394i | 0.156029 | − | 0.580174i | ||||
\(331\) | 5.90858 | + | 2.44742i | 0.324765 | + | 0.134522i | 0.539109 | − | 0.842236i | \(-0.318761\pi\) |
−0.214344 | + | 0.976758i | \(0.568761\pi\) | |||||||
\(332\) | −13.3518 | + | 5.53052i | −0.732778 | + | 0.303527i | ||||
\(333\) | −0.183977 | + | 0.275341i | −0.0100819 | + | 0.0150886i | ||||
\(334\) | 0.509138 | − | 0.761979i | 0.0278588 | − | 0.0416937i | ||||
\(335\) | −0.398937 | − | 3.05192i | −0.0217963 | − | 0.166744i | ||||
\(336\) | 0.212939 | + | 0.212939i | 0.0116168 | + | 0.0116168i | ||||
\(337\) | 22.8272 | + | 4.54062i | 1.24348 | + | 0.247343i | 0.772622 | − | 0.634866i | \(-0.218945\pi\) |
0.470857 | + | 0.882210i | \(0.343945\pi\) | |||||||
\(338\) | −10.2940 | + | 24.8519i | −0.559920 | + | 1.35177i | ||||
\(339\) | 5.99488 | 0.325597 | ||||||||
\(340\) | −3.75524 | + | 8.42010i | −0.203657 | + | 0.456644i | ||||
\(341\) | 5.79130 | 0.313617 | ||||||||
\(342\) | 2.86848 | − | 6.92512i | 0.155110 | − | 0.374468i | ||||
\(343\) | −3.16917 | − | 0.630387i | −0.171119 | − | 0.0340377i | ||||
\(344\) | −6.80618 | − | 6.80618i | −0.366964 | − | 0.366964i | ||||
\(345\) | 19.8060 | + | 15.2266i | 1.06632 | + | 0.819774i | ||||
\(346\) | 3.03325 | − | 4.53957i | 0.163068 | − | 0.244049i | ||||
\(347\) | 11.7115 | − | 17.5275i | 0.628706 | − | 0.940925i | −0.371217 | − | 0.928546i | \(-0.621059\pi\) |
0.999923 | − | 0.0123793i | \(-0.00394055\pi\) | |||||||
\(348\) | 1.36083 | − | 0.563676i | 0.0729483 | − | 0.0302162i | ||||
\(349\) | 27.4890 | + | 11.3863i | 1.47145 | + | 0.609495i | 0.967190 | − | 0.254055i | \(-0.0817646\pi\) |
0.504262 | + | 0.863551i | \(0.331765\pi\) | |||||||
\(350\) | −0.765428 | + | 0.869571i | −0.0409139 | + | 0.0464805i | ||||
\(351\) | −29.4261 | − | 19.6619i | −1.57065 | − | 1.04947i | ||||
\(352\) | 2.08629 | + | 3.12235i | 0.111200 | + | 0.166422i | ||||
\(353\) | 7.24952 | 0.385853 | 0.192926 | − | 0.981213i | \(-0.438202\pi\) | ||||
0.192926 | + | 0.981213i | \(0.438202\pi\) | |||||||
\(354\) | 1.03294 | + | 1.54590i | 0.0549001 | + | 0.0821638i | ||||
\(355\) | 4.28541 | + | 0.284840i | 0.227446 | + | 0.0151177i | ||||
\(356\) | 14.0884i | 0.746686i | ||||||||
\(357\) | 0.290203 | + | 1.20725i | 0.0153592 | + | 0.0638942i | ||||
\(358\) | 3.14525 | − | 3.14525i | 0.166232 | − | 0.166232i | ||||
\(359\) | 19.2554 | − | 7.97584i | 1.01626 | − | 0.420949i | 0.188525 | − | 0.982068i | \(-0.439629\pi\) |
0.827735 | + | 0.561120i | \(0.189629\pi\) | |||||||
\(360\) | 1.78625 | − | 2.32346i | 0.0941439 | − | 0.122457i | ||||
\(361\) | 9.69237 | − | 9.69237i | 0.510125 | − | 0.510125i | ||||
\(362\) | −13.3461 | + | 8.91757i | −0.701455 | + | 0.468697i | ||||
\(363\) | −0.786488 | − | 3.95394i | −0.0412799 | − | 0.207528i | ||||
\(364\) | −1.43539 | + | 0.285517i | −0.0752348 | + | 0.0149651i | ||||
\(365\) | 4.30748 | + | 0.286307i | 0.225464 | + | 0.0149860i | ||||
\(366\) | −5.16410 | + | 12.4673i | −0.269932 | + | 0.651674i | ||||
\(367\) | 20.1941 | + | 13.4933i | 1.05412 | + | 0.704342i | 0.956752 | − | 0.290906i | \(-0.0939566\pi\) |
0.0973712 | + | 0.995248i | \(0.468957\pi\) | |||||||
\(368\) | −8.43077 | + | 1.67699i | −0.439485 | + | 0.0874189i | ||||
\(369\) | 1.39976 | − | 7.03706i | 0.0728686 | − | 0.366335i | ||||
\(370\) | −0.535145 | + | 0.181108i | −0.0278209 | + | 0.00941537i | ||||
\(371\) | 1.20515 | − | 0.805254i | 0.0625681 | − | 0.0418067i | ||||
\(372\) | −1.85189 | − | 0.767076i | −0.0960158 | − | 0.0397710i | ||||
\(373\) | −5.48095 | − | 5.48095i | −0.283793 | − | 0.283793i | 0.550827 | − | 0.834620i | \(-0.314312\pi\) |
−0.834620 | + | 0.550827i | \(0.814312\pi\) | |||||||
\(374\) | 0.612334 | + | 15.4711i | 0.0316630 | + | 0.799990i | ||||
\(375\) | −12.0602 | − | 8.10663i | −0.622789 | − | 0.418625i | ||||
\(376\) | 1.75484 | + | 4.23656i | 0.0904991 | + | 0.218484i | ||||
\(377\) | −1.39653 | + | 7.02084i | −0.0719251 | + | 0.361592i | ||||
\(378\) | − | 1.29812i | − | 0.0667680i | ||||||
\(379\) | −24.4160 | − | 4.85664i | −1.25416 | − | 0.249469i | −0.477077 | − | 0.878861i | \(-0.658304\pi\) |
−0.777088 | + | 0.629392i | \(0.783304\pi\) | |||||||
\(380\) | 11.0807 | − | 6.38386i | 0.568428 | − | 0.327485i | ||||
\(381\) | 3.08752 | + | 15.5220i | 0.158178 | + | 0.795216i | ||||
\(382\) | 0.579651 | + | 1.39940i | 0.0296575 | + | 0.0715996i | ||||
\(383\) | 7.60872 | + | 18.3691i | 0.388788 | + | 0.938616i | 0.990197 | + | 0.139675i | \(0.0446059\pi\) |
−0.601410 | + | 0.798941i | \(0.705394\pi\) | |||||||
\(384\) | −0.253568 | − | 1.27477i | −0.0129398 | − | 0.0650529i | ||||
\(385\) | −0.505262 | + | 1.87875i | −0.0257506 | + | 0.0957500i | ||||
\(386\) | −4.21321 | − | 0.838060i | −0.214447 | − | 0.0426561i | ||||
\(387\) | 12.6156i | 0.641289i | ||||||||
\(388\) | 0.983039 | − | 4.94207i | 0.0499062 | − | 0.250896i | ||||
\(389\) | 3.92126 | + | 9.46676i | 0.198816 | + | 0.479984i | 0.991572 | − | 0.129555i | \(-0.0413548\pi\) |
−0.792757 | + | 0.609538i | \(0.791355\pi\) | |||||||
\(390\) | −5.88501 | − | 17.3892i | −0.297999 | − | 0.880538i | ||||
\(391\) | −33.2549 | − | 12.2575i | −1.68177 | − | 0.619887i | ||||
\(392\) | 4.91179 | + | 4.91179i | 0.248083 | + | 0.248083i | ||||
\(393\) | −12.4217 | − | 5.14522i | −0.626590 | − | 0.259542i | ||||
\(394\) | 13.5854 | − | 9.07745i | 0.684421 | − | 0.457315i | ||||
\(395\) | 0.602221 | + | 1.77946i | 0.0303010 | + | 0.0895345i | ||||
\(396\) | 0.960202 | − | 4.82726i | 0.0482519 | − | 0.242579i | ||||
\(397\) | −17.9852 | + | 3.57747i | −0.902650 | + | 0.179548i | −0.624533 | − | 0.780999i | \(-0.714710\pi\) |
−0.278118 | + | 0.960547i | \(0.589710\pi\) | |||||||
\(398\) | 10.5519 | + | 7.05058i | 0.528921 | + | 0.353414i | ||||
\(399\) | 0.659069 | − | 1.59113i | 0.0329947 | − | 0.0796562i | ||||
\(400\) | 4.83200 | − | 1.28521i | 0.241600 | − | 0.0642604i | ||||
\(401\) | −7.09217 | + | 1.41072i | −0.354166 | + | 0.0704480i | −0.368967 | − | 0.929442i | \(-0.620289\pi\) |
0.0148011 | + | 0.999890i | \(0.495289\pi\) | |||||||
\(402\) | 0.349029 | + | 1.75469i | 0.0174080 | + | 0.0875158i | ||||
\(403\) | 8.09973 | − | 5.41207i | 0.403476 | − | 0.269594i | ||||
\(404\) | 12.7048 | − | 12.7048i | 0.632088 | − | 0.632088i | ||||
\(405\) | 7.42802 | − | 0.970967i | 0.369101 | − | 0.0482477i | ||||
\(406\) | −0.242582 | + | 0.100481i | −0.0120391 | + | 0.00498678i | ||||
\(407\) | −0.670893 | + | 0.670893i | −0.0332549 | + | 0.0332549i | ||||
\(408\) | 1.85338 | − | 5.02829i | 0.0917562 | − | 0.248937i | ||||
\(409\) | − | 5.46288i | − | 0.270122i | −0.990837 | − | 0.135061i | \(-0.956877\pi\) | ||
0.990837 | − | 0.135061i | \(-0.0431231\pi\) | |||||||
\(410\) | 9.21058 | − | 8.06248i | 0.454878 | − | 0.398178i | ||||
\(411\) | 3.81291 | + | 5.70643i | 0.188077 | + | 0.281477i | ||||
\(412\) | −2.90262 | −0.143002 | ||||||||
\(413\) | −0.184132 | − | 0.275572i | −0.00906053 | − | 0.0135600i | ||||
\(414\) | 9.36766 | + | 6.25927i | 0.460395 | + | 0.307626i | ||||
\(415\) | 16.1320 | + | 28.0009i | 0.791889 | + | 1.37451i | ||||
\(416\) | 5.83578 | + | 2.41726i | 0.286123 | + | 0.118516i | ||||
\(417\) | 9.92823 | − | 4.11241i | 0.486188 | − | 0.201386i | ||||
\(418\) | 11.9315 | − | 17.8568i | 0.583589 | − | 0.873403i | ||||
\(419\) | 5.00808 | − | 7.49513i | 0.244661 | − | 0.366161i | −0.688733 | − | 0.725015i | \(-0.741833\pi\) |
0.933393 | + | 0.358855i | \(0.116833\pi\) | |||||||
\(420\) | 0.410414 | − | 0.533845i | 0.0200262 | − | 0.0260489i | ||||
\(421\) | 16.4962 | + | 16.4962i | 0.803973 | + | 0.803973i | 0.983714 | − | 0.179741i | \(-0.0575258\pi\) |
−0.179741 | + | 0.983714i | \(0.557526\pi\) | |||||||
\(422\) | 11.8739 | + | 2.36187i | 0.578013 | + | 0.114974i | ||||
\(423\) | 2.30001 | − | 5.55271i | 0.111830 | − | 0.269982i | ||||
\(424\) | −6.25579 | −0.303808 | ||||||||
\(425\) | 19.7575 | + | 5.88578i | 0.958378 | + | 0.285502i | ||||
\(426\) | −2.49645 | −0.120953 | ||||||||
\(427\) | 0.920553 | − | 2.22241i | 0.0445487 | − | 0.107550i | ||||
\(428\) | 5.53332 | + | 1.10065i | 0.267463 | + | 0.0532017i | ||||
\(429\) | −21.8003 | − | 21.8003i | −1.05253 | − | 1.05253i | ||||
\(430\) | −13.1181 | + | 17.0633i | −0.632610 | + | 0.822865i | ||||
\(431\) | −7.38136 | + | 11.0470i | −0.355547 | + | 0.532114i | −0.965527 | − | 0.260303i | \(-0.916178\pi\) |
0.609980 | + | 0.792417i | \(0.291178\pi\) | |||||||
\(432\) | −3.11273 | + | 4.65853i | −0.149761 | + | 0.224133i | ||||
\(433\) | −14.7508 | + | 6.11000i | −0.708880 | + | 0.293628i | −0.707841 | − | 0.706372i | \(-0.750331\pi\) |
−0.00103885 | + | 0.999999i | \(0.500331\pi\) | |||||||
\(434\) | 0.330117 | + | 0.136739i | 0.0158461 | + | 0.00656368i | ||||
\(435\) | −1.64419 | − | 2.85388i | −0.0788329 | − | 0.136833i | ||||
\(436\) | −0.664041 | − | 0.443698i | −0.0318018 | − | 0.0212493i | ||||
\(437\) | 27.3120 | + | 40.8753i | 1.30651 | + | 1.95533i | ||||
\(438\) | −2.50931 | −0.119899 | ||||||||
\(439\) | −3.79978 | − | 5.68677i | −0.181353 | − | 0.271415i | 0.729643 | − | 0.683828i | \(-0.239686\pi\) |
−0.910997 | + | 0.412413i | \(0.864686\pi\) | |||||||
\(440\) | 6.31824 | − | 5.53067i | 0.301210 | − | 0.263664i | ||||
\(441\) | − | 9.10428i | − | 0.433537i | ||||||
\(442\) | 15.3144 | + | 21.0656i | 0.728431 | + | 1.00199i | ||||
\(443\) | −20.2583 | + | 20.2583i | −0.962499 | + | 0.962499i | −0.999322 | − | 0.0368225i | \(-0.988276\pi\) |
0.0368225 | + | 0.999322i | \(0.488276\pi\) | |||||||
\(444\) | 0.303394 | − | 0.125670i | 0.0143984 | − | 0.00596402i | ||||
\(445\) | 31.2370 | − | 4.08320i | 1.48077 | − | 0.193562i | ||||
\(446\) | −3.91675 | + | 3.91675i | −0.185463 | + | 0.185463i | ||||
\(447\) | 7.61156 | − | 5.08588i | 0.360014 | − | 0.240554i | ||||
\(448\) | 0.0452010 | + | 0.227241i | 0.00213554 | + | 0.0107361i | ||||
\(449\) | −32.0536 | + | 6.37587i | −1.51271 | + | 0.300896i | −0.880553 | − | 0.473948i | \(-0.842828\pi\) |
−0.632152 | + | 0.774844i | \(0.717828\pi\) | |||||||
\(450\) | −5.66930 | − | 3.28709i | −0.267253 | − | 0.154955i | ||||
\(451\) | 7.86686 | − | 18.9923i | 0.370436 | − | 0.894312i | ||||
\(452\) | 3.83503 | + | 2.56249i | 0.180385 | + | 0.120529i | ||||
\(453\) | −3.20773 | + | 0.638057i | −0.150712 | + | 0.0299786i | ||||
\(454\) | 4.65394 | − | 23.3969i | 0.218420 | − | 1.09807i | ||||
\(455\) | 1.04906 | + | 3.09980i | 0.0491808 | + | 0.145321i | ||||
\(456\) | −6.18052 | + | 4.12969i | −0.289430 | + | 0.193391i | ||||
\(457\) | −19.5403 | − | 8.09384i | −0.914054 | − | 0.378614i | −0.124447 | − | 0.992226i | \(-0.539716\pi\) |
−0.789607 | + | 0.613612i | \(0.789716\pi\) | |||||||
\(458\) | −17.5615 | − | 17.5615i | −0.820593 | − | 0.820593i | ||||
\(459\) | −20.9760 | + | 9.67742i | −0.979077 | + | 0.451703i | ||||
\(460\) | 6.16168 | + | 18.2067i | 0.287290 | + | 0.848893i | ||||
\(461\) | −14.0929 | − | 34.0234i | −0.656374 | − | 1.58463i | −0.803364 | − | 0.595488i | \(-0.796959\pi\) |
0.146990 | − | 0.989138i | \(-0.453041\pi\) | |||||||
\(462\) | 0.220618 | − | 1.10912i | 0.0102641 | − | 0.0516011i | ||||
\(463\) | − | 6.44868i | − | 0.299696i | −0.988709 | − | 0.149848i | \(-0.952122\pi\) | ||
0.988709 | − | 0.149848i | \(-0.0478784\pi\) | |||||||
\(464\) | 1.11149 | + | 0.221089i | 0.0515996 | + | 0.0102638i | ||||
\(465\) | −1.16404 | + | 4.32833i | −0.0539811 | + | 0.200721i | ||||
\(466\) | −3.80964 | − | 19.1524i | −0.176478 | − | 0.887217i | ||||
\(467\) | 10.5568 | + | 25.4863i | 0.488509 | + | 1.17937i | 0.955470 | + | 0.295087i | \(0.0953487\pi\) |
−0.466961 | + | 0.884278i | \(0.654651\pi\) | |||||||
\(468\) | −3.16821 | − | 7.64875i | −0.146451 | − | 0.353563i | ||||
\(469\) | −0.0622179 | − | 0.312790i | −0.00287295 | − | 0.0144433i | ||||
\(470\) | 8.88473 | − | 5.11871i | 0.409822 | − | 0.236109i | ||||
\(471\) | −9.73779 | − | 1.93697i | −0.448694 | − | 0.0892507i | ||||
\(472\) | 1.43047i | 0.0658425i | ||||||||
\(473\) | −7.05163 | + | 35.4509i | −0.324234 | + | 1.63004i | ||||
\(474\) | −0.417877 | − | 1.00884i | −0.0191937 | − | 0.0463378i | ||||
\(475\) | −17.3658 | − | 22.7180i | −0.796797 | − | 1.04237i | ||||
\(476\) | −0.330384 | + | 0.896343i | −0.0151431 | + | 0.0410838i | ||||
\(477\) | 5.79773 | + | 5.79773i | 0.265460 | + | 0.265460i | ||||
\(478\) | −8.70448 | − | 3.60552i | −0.398134 | − | 0.164912i | ||||
\(479\) | −21.9066 | + | 14.6376i | −1.00094 | + | 0.668807i | −0.944128 | − | 0.329578i | \(-0.893094\pi\) |
−0.0568119 | + | 0.998385i | \(0.518094\pi\) | |||||||
\(480\) | −2.75294 | + | 0.931673i | −0.125654 | + | 0.0425249i | ||||
\(481\) | −0.311353 | + | 1.56527i | −0.0141965 | + | 0.0713704i | ||||
\(482\) | −27.0278 | + | 5.37617i | −1.23108 | + | 0.244878i | ||||
\(483\) | 2.15234 | + | 1.43814i | 0.0979347 | + | 0.0654378i | ||||
\(484\) | 1.18696 | − | 2.86559i | 0.0539529 | − | 0.130254i | ||||
\(485\) | −11.2425 | − | 0.747259i | −0.510495 | − | 0.0339313i | ||||
\(486\) | 12.2146 | − | 2.42964i | 0.554066 | − | 0.110211i | ||||
\(487\) | 3.03751 | + | 15.2706i | 0.137643 | + | 0.691978i | 0.986553 | + | 0.163441i | \(0.0522592\pi\) |
−0.848910 | + | 0.528537i | \(0.822741\pi\) | |||||||
\(488\) | −8.63264 | + | 5.76815i | −0.390781 | + | 0.261112i | ||||
\(489\) | 21.4668 | − | 21.4668i | 0.970762 | − | 0.970762i | ||||
\(490\) | 9.46688 | − | 12.3140i | 0.427670 | − | 0.556290i | ||||
\(491\) | −27.1621 | + | 11.2509i | −1.22581 | + | 0.507747i | −0.899252 | − | 0.437430i | \(-0.855889\pi\) |
−0.326558 | + | 0.945177i | \(0.605889\pi\) | |||||||
\(492\) | −5.03118 | + | 5.03118i | −0.226823 | + | 0.226823i | ||||
\(493\) | 3.43209 | + | 3.17075i | 0.154574 | + | 0.142804i | ||||
\(494\) | − | 36.1247i | − | 1.62533i | ||||||
\(495\) | −10.9813 | − | 0.729899i | −0.493574 | − | 0.0328065i | ||||
\(496\) | −0.856800 | − | 1.28229i | −0.0384715 | − | 0.0575766i | ||||
\(497\) | 0.445017 | 0.0199617 | ||||||||
\(498\) | −10.4357 | − | 15.6182i | −0.467637 | − | 0.699868i | ||||
\(499\) | −1.84513 | − | 1.23288i | −0.0825994 | − | 0.0551912i | 0.513585 | − | 0.858039i | \(-0.328317\pi\) |
−0.596184 | + | 0.802848i | \(0.703317\pi\) | |||||||
\(500\) | −4.25001 | − | 10.3411i | −0.190066 | − | 0.462466i | ||||
\(501\) | 1.10045 | + | 0.455821i | 0.0491645 | + | 0.0203646i | ||||
\(502\) | 21.1301 | − | 8.75239i | 0.943084 | − | 0.390638i | ||||
\(503\) | 6.36947 | − | 9.53258i | 0.284000 | − | 0.425037i | −0.661852 | − | 0.749635i | \(-0.730229\pi\) |
0.945852 | + | 0.324598i | \(0.105229\pi\) | |||||||
\(504\) | 0.168710 | − | 0.252493i | 0.00751496 | − | 0.0112469i | ||||
\(505\) | −31.8514 | − | 24.4870i | −1.41737 | − | 1.08966i | ||||
\(506\) | 22.8252 | + | 22.8252i | 1.01470 | + | 1.01470i | ||||
\(507\) | −34.2907 | − | 6.82085i | −1.52290 | − | 0.302924i | ||||
\(508\) | −4.65967 | + | 11.2494i | −0.206739 | + | 0.499113i | ||||
\(509\) | 10.4091 | 0.461376 | 0.230688 | − | 0.973028i | \(-0.425902\pi\) | ||||
0.230688 | + | 0.973028i | \(0.425902\pi\) | |||||||
\(510\) | −11.6859 | − | 2.65201i | −0.517461 | − | 0.117433i | ||||
\(511\) | 0.447309 | 0.0197878 | ||||||||
\(512\) | 0.382683 | − | 0.923880i | 0.0169124 | − | 0.0408301i | ||||
\(513\) | 31.4266 | + | 6.25113i | 1.38752 | + | 0.275994i | ||||
\(514\) | 12.4976 | + | 12.4976i | 0.551247 | + | 0.551247i | ||||
\(515\) | 0.841254 | + | 6.43570i | 0.0370701 | + | 0.283591i | ||||
\(516\) | 6.95049 | − | 10.4021i | 0.305978 | − | 0.457929i | ||||
\(517\) | 9.56694 | − | 14.3179i | 0.420753 | − | 0.629702i | ||||
\(518\) | −0.0540829 | + | 0.0224019i | −0.00237627 | + | 0.000984282i | ||||
\(519\) | 6.55605 | + | 2.71560i | 0.287779 | + | 0.119202i | ||||
\(520\) | 3.66820 | − | 13.6397i | 0.160861 | − | 0.598141i | ||||
\(521\) | −23.6046 | − | 15.7721i | −1.03414 | − | 0.690989i | −0.0819920 | − | 0.996633i | \(-0.526128\pi\) |
−0.952146 | + | 0.305644i | \(0.901128\pi\) | |||||||
\(522\) | −0.825205 | − | 1.23501i | −0.0361182 | − | 0.0540547i | ||||
\(523\) | −2.22356 | −0.0972295 | −0.0486148 | − | 0.998818i | \(-0.515481\pi\) | ||||
−0.0486148 | + | 0.998818i | \(0.515481\pi\) | |||||||
\(524\) | −5.74705 | − | 8.60107i | −0.251061 | − | 0.375739i | ||||
\(525\) | −1.30259 | − | 0.755250i | −0.0568498 | − | 0.0329618i | ||||
\(526\) | 6.60641i | 0.288053i | ||||||||
\(527\) | −0.251474 | − | 6.35368i | −0.0109544 | − | 0.276771i | ||||
\(528\) | −3.45127 | + | 3.45127i | −0.150197 | + | 0.150197i | ||||
\(529\) | −47.0165 | + | 19.4749i | −2.04419 | + | 0.846733i | ||||
\(530\) | 1.81309 | + | 13.8704i | 0.0787556 | + | 0.602490i | ||||
\(531\) | 1.32573 | − | 1.32573i | 0.0575316 | − | 0.0575316i | ||||
\(532\) | 1.10174 | − | 0.736159i | 0.0477665 | − | 0.0319165i | ||||
\(533\) | −6.74599 | − | 33.9144i | −0.292201 | − | 1.46900i | ||||
\(534\) | −17.9595 | + | 3.57237i | −0.777185 | + | 0.154592i | ||||
\(535\) | 0.836658 | − | 12.5875i | 0.0361719 | − | 0.544205i | ||||
\(536\) | −0.526753 | + | 1.27169i | −0.0227523 | + | 0.0549288i | ||||
\(537\) | 4.80701 | + | 3.21194i | 0.207438 | + | 0.138605i | ||||
\(538\) | −9.47789 | + | 1.88527i | −0.408621 | + | 0.0812797i | ||||
\(539\) | 5.08892 | − | 25.5837i | 0.219195 | − | 1.10197i | ||||
\(540\) | 11.2311 | + | 5.55140i | 0.483308 | + | 0.238894i | ||||
\(541\) | −13.9050 | + | 9.29106i | −0.597825 | + | 0.399454i | −0.817340 | − | 0.576155i | \(-0.804552\pi\) |
0.219515 | + | 0.975609i | \(0.429552\pi\) | |||||||
\(542\) | −24.8160 | − | 10.2791i | −1.06594 | − | 0.441526i | ||||
\(543\) | −14.7520 | − | 14.7520i | −0.633069 | − | 0.633069i | ||||
\(544\) | 3.33496 | − | 2.42446i | 0.142985 | − | 0.103948i | ||||
\(545\) | −0.791313 | + | 1.60091i | −0.0338961 | + | 0.0685755i | ||||
\(546\) | −0.727936 | − | 1.75739i | −0.0311528 | − | 0.0752095i | ||||
\(547\) | 1.12716 | − | 5.66660i | 0.0481937 | − | 0.242286i | −0.949178 | − | 0.314740i | \(-0.898083\pi\) |
0.997372 | + | 0.0724533i | \(0.0230828\pi\) | |||||||
\(548\) | 5.28032i | 0.225564i | ||||||||
\(549\) | 13.3463 | + | 2.65475i | 0.569608 | + | 0.113302i | ||||
\(550\) | −14.0938 | − | 12.4059i | −0.600963 | − | 0.528989i | ||||
\(551\) | −1.26441 | − | 6.35662i | −0.0538657 | − | 0.270801i | ||||
\(552\) | −4.27554 | − | 10.3221i | −0.181979 | − | 0.439337i | ||||
\(553\) | 0.0744907 | + | 0.179837i | 0.00316767 | + | 0.00764743i | ||||
\(554\) | 4.23918 | + | 21.3118i | 0.180105 | + | 0.905451i | ||||
\(555\) | −0.366567 | − | 0.636264i | −0.0155599 | − | 0.0270079i | ||||
\(556\) | 8.10910 | + | 1.61300i | 0.343902 | + | 0.0684064i | ||||
\(557\) | − | 6.57780i | − | 0.278710i | −0.990242 | − | 0.139355i | \(-0.955497\pi\) | ||
0.990242 | − | 0.139355i | \(-0.0445030\pi\) | |||||||
\(558\) | −0.394337 | + | 1.98247i | −0.0166936 | + | 0.0839245i | ||||
\(559\) | 23.2671 | + | 56.1717i | 0.984092 | + | 2.37581i | ||||
\(560\) | 0.490739 | − | 0.166080i | 0.0207375 | − | 0.00701816i | ||||
\(561\) | −19.5668 | + | 4.70355i | −0.826110 | + | 0.198584i | ||||
\(562\) | 1.45902 | + | 1.45902i | 0.0615450 | + | 0.0615450i | ||||
\(563\) | −1.12543 | − | 0.466167i | −0.0474311 | − | 0.0196466i | 0.358842 | − | 0.933398i | \(-0.383172\pi\) |
−0.406273 | + | 0.913752i | \(0.633172\pi\) | |||||||
\(564\) | −4.95568 | + | 3.31128i | −0.208672 | + | 0.139430i | ||||
\(565\) | 4.57006 | − | 9.24572i | 0.192264 | − | 0.388971i | ||||
\(566\) | −1.17662 | + | 5.91527i | −0.0494571 | + | 0.248638i | ||||
\(567\) | 0.761295 | − | 0.151431i | 0.0319714 | − | 0.00635950i | ||||
\(568\) | −1.59702 | − | 1.06710i | −0.0670096 | − | 0.0447744i | ||||
\(569\) | 4.32635 | − | 10.4447i | 0.181370 | − | 0.437866i | −0.806879 | − | 0.590716i | \(-0.798845\pi\) |
0.988249 | + | 0.152850i | \(0.0488452\pi\) | |||||||
\(570\) | 10.9477 | + | 12.5066i | 0.458547 | + | 0.523844i | ||||
\(571\) | 41.9951 | − | 8.35335i | 1.75744 | − | 0.349577i | 0.792065 | − | 0.610436i | \(-0.209006\pi\) |
0.965377 | + | 0.260860i | \(0.0840059\pi\) | |||||||
\(572\) | −4.62759 | − | 23.2645i | −0.193489 | − | 0.972737i | ||||
\(573\) | −1.63693 | + | 1.09376i | −0.0683839 | + | 0.0456927i | ||||
\(574\) | 0.896857 | − | 0.896857i | 0.0374341 | − | 0.0374341i | ||||
\(575\) | 38.5822 | − | 18.9385i | 1.60899 | − | 0.789790i | ||||
\(576\) | −1.21089 | + | 0.501569i | −0.0504540 | + | 0.0208987i | ||||
\(577\) | −23.2398 | + | 23.2398i | −0.967488 | + | 0.967488i | −0.999488 | − | 0.0320003i | \(-0.989812\pi\) |
0.0320003 | + | 0.999488i | \(0.489812\pi\) | |||||||
\(578\) | 16.9468 | − | 1.34359i | 0.704895 | − | 0.0558860i | ||||
\(579\) | − | 5.58338i | − | 0.232037i | ||||||
\(580\) | 0.168061 | − | 2.52848i | 0.00697837 | − | 0.104989i | ||||
\(581\) | 1.86027 | + | 2.78410i | 0.0771772 | + | 0.115504i | ||||
\(582\) | 6.54927 | 0.271476 | ||||||||
\(583\) | 13.0514 | + | 19.5328i | 0.540533 | + | 0.808965i | ||||
\(584\) | −1.60525 | − | 1.07259i | −0.0664256 | − | 0.0443842i | ||||
\(585\) | −16.0406 | + | 9.24139i | −0.663198 | + | 0.382084i | ||||
\(586\) | −20.9031 | − | 8.65837i | −0.863501 | − | 0.357674i | ||||
\(587\) | 0.798310 | − | 0.330671i | 0.0329498 | − | 0.0136482i | −0.366148 | − | 0.930557i | \(-0.619324\pi\) |
0.399097 | + | 0.916909i | \(0.369324\pi\) | |||||||
\(588\) | −5.01593 | + | 7.50688i | −0.206854 | + | 0.309578i | ||||
\(589\) | −4.90005 | + | 7.33344i | −0.201903 | + | 0.302169i | ||||
\(590\) | 3.17164 | − | 0.414586i | 0.130574 | − | 0.0170682i | ||||
\(591\) | 15.0165 | + | 15.0165i | 0.617695 | + | 0.617695i | ||||
\(592\) | 0.247803 | + | 0.0492911i | 0.0101846 | + | 0.00202585i | ||||
\(593\) | 6.76356 | − | 16.3287i | 0.277746 | − | 0.670538i | −0.722026 | − | 0.691865i | \(-0.756789\pi\) |
0.999773 | + | 0.0213270i | \(0.00678912\pi\) | |||||||
\(594\) | 21.0396 | 0.863266 | ||||||||
\(595\) | 2.08313 | + | 0.472746i | 0.0854000 | + | 0.0193807i | ||||
\(596\) | 7.04318 | 0.288500 | ||||||||
\(597\) | −6.31224 | + | 15.2391i | −0.258343 | + | 0.623695i | ||||
\(598\) | 53.2539 | + | 10.5929i | 2.17771 | + | 0.433174i | ||||
\(599\) | 30.5345 | + | 30.5345i | 1.24761 | + | 1.24761i | 0.956774 | + | 0.290833i | \(0.0939324\pi\) |
0.290833 | + | 0.956774i | \(0.406068\pi\) | |||||||
\(600\) | 2.86358 | + | 5.83381i | 0.116905 | + | 0.238164i | ||||
\(601\) | 9.33973 | − | 13.9779i | 0.380976 | − | 0.570170i | −0.590581 | − | 0.806979i | \(-0.701101\pi\) |
0.971556 | + | 0.236808i | \(0.0761013\pi\) | |||||||
\(602\) | −1.23899 | + | 1.85429i | −0.0504976 | + | 0.0755750i | ||||
\(603\) | 1.66676 | − | 0.690396i | 0.0678759 | − | 0.0281151i | ||||
\(604\) | −2.32478 | − | 0.962954i | −0.0945938 | − | 0.0391821i | ||||
\(605\) | −6.69761 | − | 1.80122i | −0.272296 | − | 0.0732302i | ||||
\(606\) | 19.4172 | + | 12.9742i | 0.788772 | + | 0.527040i | ||||
\(607\) | −12.8899 | − | 19.2912i | −0.523186 | − | 0.783004i | 0.471938 | − | 0.881632i | \(-0.343555\pi\) |
−0.995124 | + | 0.0986279i | \(0.968555\pi\) | |||||||
\(608\) | −5.71901 | −0.231936 | ||||||||
\(609\) | −0.189601 | − | 0.283758i | −0.00768302 | − | 0.0114985i | ||||
\(610\) | 15.2911 | + | 17.4686i | 0.619120 | + | 0.707282i | ||||
\(611\) | − | 28.9656i | − | 1.17182i | ||||||
\(612\) | −5.33771 | − | 0.843831i | −0.215764 | − | 0.0341099i | ||||
\(613\) | −5.22573 | + | 5.22573i | −0.211065 | + | 0.211065i | −0.804720 | − | 0.593655i | \(-0.797685\pi\) |
0.593655 | + | 0.804720i | \(0.297685\pi\) | |||||||
\(614\) | −21.4681 | + | 8.89237i | −0.866381 | + | 0.358867i | ||||
\(615\) | 12.6133 | + | 9.69699i | 0.508618 | + | 0.391020i | ||||
\(616\) | 0.615223 | − | 0.615223i | 0.0247880 | − | 0.0247880i | ||||
\(617\) | −6.06006 | + | 4.04920i | −0.243969 | + | 0.163015i | −0.671543 | − | 0.740965i | \(-0.734368\pi\) |
0.427574 | + | 0.903980i | \(0.359368\pi\) | |||||||
\(618\) | −0.736010 | − | 3.70017i | −0.0296067 | − | 0.148843i | ||||
\(619\) | 14.5332 | − | 2.89082i | 0.584137 | − | 0.116192i | 0.105829 | − | 0.994384i | \(-0.466250\pi\) |
0.478308 | + | 0.878192i | \(0.341250\pi\) | |||||||
\(620\) | −2.59478 | + | 2.27134i | −0.104209 | + | 0.0912194i | ||||
\(621\) | −18.4304 | + | 44.4950i | −0.739588 | + | 1.78552i | ||||
\(622\) | 4.75111 | + | 3.17459i | 0.190502 | + | 0.127289i | ||||
\(623\) | 3.20146 | − | 0.636811i | 0.128264 | − | 0.0255133i | ||||
\(624\) | −1.60169 | + | 8.05222i | −0.0641188 | + | 0.322347i | ||||
\(625\) | −21.6965 | + | 12.4203i | −0.867859 | + | 0.496810i | ||||
\(626\) | 11.8948 | − | 7.94787i | 0.475413 | − | 0.317661i | ||||
\(627\) | 25.7887 | + | 10.6820i | 1.02990 | + | 0.426600i | ||||
\(628\) | −5.40149 | − | 5.40149i | −0.215543 | − | 0.215543i | ||||
\(629\) | 0.765174 | + | 0.706910i | 0.0305095 | + | 0.0281863i | ||||
\(630\) | −0.608726 | − | 0.300887i | −0.0242522 | − | 0.0119876i | ||||
\(631\) | −1.21200 | − | 2.92604i | −0.0482491 | − | 0.116484i | 0.897917 | − | 0.440164i | \(-0.145080\pi\) |
−0.946166 | + | 0.323680i | \(0.895080\pi\) | |||||||
\(632\) | 0.163903 | − | 0.823995i | 0.00651970 | − | 0.0327768i | ||||
\(633\) | 15.7354i | 0.625426i | ||||||||
\(634\) | 10.5599 | + | 2.10050i | 0.419388 | + | 0.0834215i | ||||
\(635\) | 26.2928 | + | 7.07107i | 1.04340 | + | 0.280607i | ||||
\(636\) | −1.58626 | − | 7.97469i | −0.0628995 | − | 0.316217i | ||||
\(637\) | −16.7911 | − | 40.5372i | −0.665286 | − | 1.60614i | ||||
\(638\) | −1.62857 | − | 3.93172i | −0.0644758 | − | 0.155658i | ||||
\(639\) | 0.491125 | + | 2.46905i | 0.0194286 | + | 0.0976741i | ||||
\(640\) | −2.15934 | − | 0.580724i | −0.0853555 | − | 0.0229551i | ||||
\(641\) | 43.7038 | + | 8.69323i | 1.72620 | + | 0.343362i | 0.955758 | − | 0.294153i | \(-0.0950376\pi\) |
0.770438 | + | 0.637515i | \(0.220038\pi\) | |||||||
\(642\) | 7.33280i | 0.289403i | ||||||||
\(643\) | −6.34291 | + | 31.8880i | −0.250140 | + | 1.25754i | 0.627651 | + | 0.778495i | \(0.284016\pi\) |
−0.877791 | + | 0.479043i | \(0.840984\pi\) | |||||||
\(644\) | 0.762158 | + | 1.84001i | 0.0300332 | + | 0.0725067i | ||||
\(645\) | −25.0781 | − | 12.3959i | −0.987450 | − | 0.488086i | ||||
\(646\) | −20.1089 | − | 12.3148i | −0.791173 | − | 0.484518i | ||||
\(647\) | 16.2490 | + | 16.2490i | 0.638814 | + | 0.638814i | 0.950263 | − | 0.311449i | \(-0.100814\pi\) |
−0.311449 | + | 0.950263i | \(0.600814\pi\) | |||||||
\(648\) | −3.09516 | − | 1.28206i | −0.121589 | − | 0.0503639i | ||||
\(649\) | 4.46642 | − | 2.98437i | 0.175322 | − | 0.117147i | ||||
\(650\) | −31.3052 | − | 4.18001i | −1.22789 | − | 0.163954i | ||||
\(651\) | −0.0906038 | + | 0.455496i | −0.00355104 | + | 0.0178523i | ||||
\(652\) | 22.9086 | − | 4.55680i | 0.897169 | − | 0.178458i | ||||
\(653\) | −23.0875 | − | 15.4266i | −0.903483 | − | 0.603688i | 0.0146798 | − | 0.999892i | \(-0.495327\pi\) |
−0.918162 | + | 0.396205i | \(0.870327\pi\) | |||||||
\(654\) | 0.397234 | − | 0.959007i | 0.0155331 | − | 0.0375001i | ||||
\(655\) | −17.4047 | + | 15.2352i | −0.680058 | + | 0.595289i | ||||
\(656\) | −5.36909 | + | 1.06798i | −0.209628 | + | 0.0416975i | ||||
\(657\) | 0.493654 | + | 2.48176i | 0.0192593 | + | 0.0968228i | ||||
\(658\) | 0.883399 | − | 0.590268i | 0.0344385 | − | 0.0230110i | ||||
\(659\) | 28.1330 | − | 28.1330i | 1.09591 | − | 1.09591i | 0.101024 | − | 0.994884i | \(-0.467788\pi\) |
0.994884 | − | 0.101024i | \(-0.0322118\pi\) | |||||||
\(660\) | 8.65244 | + | 6.65190i | 0.336796 | + | 0.258925i | ||||
\(661\) | −34.0520 | + | 14.1048i | −1.32447 | + | 0.548614i | −0.929073 | − | 0.369896i | \(-0.879393\pi\) |
−0.395398 | + | 0.918510i | \(0.629393\pi\) | |||||||
\(662\) | −4.52223 | + | 4.52223i | −0.175762 | + | 0.175762i | ||||
\(663\) | −22.9706 | + | 24.8639i | −0.892105 | + | 0.965633i | ||||
\(664\) | − | 14.4519i | − | 0.560844i | ||||||
\(665\) | −1.95153 | − | 2.22943i | −0.0756771 | − | 0.0864534i | ||||
\(666\) | −0.183977 | − | 0.275341i | −0.00712896 | − | 0.0106692i | ||||
\(667\) | 9.74148 | 0.377192 | ||||||||
\(668\) | 0.509138 | + | 0.761979i | 0.0196992 | + | 0.0294819i | ||||
\(669\) | −5.98611 | − | 3.99979i | −0.231436 | − | 0.154641i | ||||
\(670\) | 2.97228 | + | 0.799350i | 0.114829 | + | 0.0308816i | ||||
\(671\) | 36.0204 | + | 14.9201i | 1.39055 | + | 0.575985i | ||||
\(672\) | −0.278218 | + | 0.115242i | −0.0107325 | + | 0.00444555i | ||||
\(673\) | 9.40166 | − | 14.0706i | 0.362407 | − | 0.542381i | −0.604797 | − | 0.796379i | \(-0.706746\pi\) |
0.967205 | + | 0.253999i | \(0.0817459\pi\) | |||||||
\(674\) | −12.9306 | + | 19.3520i | −0.498068 | + | 0.745411i | ||||
\(675\) | 9.05353 | − | 26.5105i | 0.348471 | − | 1.02039i | ||||
\(676\) | −19.0208 | − | 19.0208i | −0.731570 | − | 0.731570i | ||||
\(677\) | −24.5991 | − | 4.89306i | −0.945420 | − | 0.188056i | −0.301774 | − | 0.953379i | \(-0.597579\pi\) |
−0.643645 | + | 0.765324i | \(0.722579\pi\) | |||||||
\(678\) | −2.29414 | + | 5.53855i | −0.0881060 | + | 0.212707i | ||||
\(679\) | −1.16747 | −0.0448035 | ||||||||
\(680\) | −6.34209 | − | 6.69163i | −0.243208 | − | 0.256612i | ||||
\(681\) | 31.0058 | 1.18814 | ||||||||
\(682\) | −2.21624 | + | 5.35046i | −0.0848640 | + | 0.204880i | ||||
\(683\) | 36.3106 | + | 7.22263i | 1.38939 | + | 0.276366i | 0.832409 | − | 0.554161i | \(-0.186961\pi\) |
0.556978 | + | 0.830527i | \(0.311961\pi\) | |||||||
\(684\) | 5.30026 | + | 5.30026i | 0.202660 | + | 0.202660i | ||||
\(685\) | 11.7075 | − | 1.53037i | 0.447322 | − | 0.0584725i | ||||
\(686\) | 1.79519 | − | 2.68669i | 0.0685407 | − | 0.102578i | ||||
\(687\) | 17.9338 | − | 26.8398i | 0.684217 | − | 1.02400i | ||||
\(688\) | 8.89270 | − | 3.68348i | 0.339031 | − | 0.140431i | ||||
\(689\) | 36.5074 | + | 15.1219i | 1.39082 | + | 0.576097i | ||||
\(690\) | −21.6470 | + | 12.4714i | −0.824087 | + | 0.474777i | ||||
\(691\) | −14.5848 | − | 9.74523i | −0.554831 | − | 0.370726i | 0.246320 | − | 0.969189i | \(-0.420779\pi\) |
−0.801151 | + | 0.598463i | \(0.795779\pi\) | |||||||
\(692\) | 3.03325 | + | 4.53957i | 0.115307 | + | 0.172569i | ||||
\(693\) | −1.14035 | −0.0433184 | ||||||||
\(694\) | 11.7115 | + | 17.5275i | 0.444562 | + | 0.665335i | ||||
\(695\) | 1.22612 | − | 18.4470i | 0.0465096 | − | 0.699736i | ||||
\(696\) | 1.47296i | 0.0558322i | ||||||||
\(697\) | −21.1782 | − | 7.80610i | −0.802181 | − | 0.295677i | ||||
\(698\) | −21.0392 | + | 21.0392i | −0.796344 | + | 0.796344i | ||||
\(699\) | 23.4489 | − | 9.71284i | 0.886918 | − | 0.367374i | ||||
\(700\) | −0.510462 | − | 1.03993i | −0.0192937 | − | 0.0393058i | ||||
\(701\) | −8.37457 | + | 8.37457i | −0.316303 | + | 0.316303i | −0.847345 | − | 0.531042i | \(-0.821801\pi\) |
0.531042 | + | 0.847345i | \(0.321801\pi\) | |||||||
\(702\) | 29.4261 | − | 19.6619i | 1.11062 | − | 0.742090i | ||||
\(703\) | −0.281896 | − | 1.41719i | −0.0106319 | − | 0.0534503i | ||||
\(704\) | −3.68307 | + | 0.732607i | −0.138811 | + | 0.0276112i | ||||
\(705\) | 8.77807 | + | 10.0281i | 0.330601 | + | 0.377679i | ||||
\(706\) | −2.77427 | + | 6.69768i | −0.104411 | + | 0.252071i | ||||
\(707\) | −3.46132 | − | 2.31278i | −0.130176 | − | 0.0869810i | ||||
\(708\) | −1.82352 | + | 0.362720i | −0.0685319 | + | 0.0136318i | ||||
\(709\) | −1.41979 | + | 7.13777i | −0.0533213 | + | 0.268064i | −0.998244 | − | 0.0592278i | \(-0.981136\pi\) |
0.944923 | + | 0.327292i | \(0.106136\pi\) | |||||||
\(710\) | −1.90311 | + | 3.85020i | −0.0714226 | + | 0.144495i | ||||
\(711\) | −0.915563 | + | 0.611760i | −0.0343363 | + | 0.0229428i | ||||
\(712\) | −13.0160 | − | 5.39141i | −0.487796 | − | 0.202052i | ||||
\(713\) | −9.37387 | − | 9.37387i | −0.351054 | − | 0.351054i | ||||
\(714\) | −1.22641 | − | 0.193881i | −0.0458971 | − | 0.00725580i | ||||
\(715\) | −50.2409 | + | 17.0030i | −1.87890 | + | 0.635875i | ||||
\(716\) | 1.70220 | + | 4.10947i | 0.0636141 | + | 0.153578i | ||||
\(717\) | 2.38903 | − | 12.0105i | 0.0892200 | − | 0.448539i | ||||
\(718\) | 20.8419i | 0.777812i | ||||||||
\(719\) | −32.9536 | − | 6.55488i | −1.22896 | − | 0.244456i | −0.462427 | − | 0.886657i | \(-0.653021\pi\) |
−0.766536 | + | 0.642201i | \(0.778021\pi\) | |||||||
\(720\) | 1.46303 | + | 2.53944i | 0.0545239 | + | 0.0946392i | ||||
\(721\) | 0.131201 | + | 0.659592i | 0.00488618 | + | 0.0245645i | ||||
\(722\) | 5.24547 | + | 12.6637i | 0.195216 | + | 0.471294i | ||||
\(723\) | −13.7068 | − | 33.0910i | −0.509760 | − | 1.23067i | ||||
\(724\) | −3.13143 | − | 15.7428i | −0.116379 | − | 0.585076i | ||||
\(725\) | −5.65487 | + | 0.360192i | −0.210016 | + | 0.0133772i | ||||
\(726\) | 3.95394 | + | 0.786488i | 0.146745 | + | 0.0291893i | ||||
\(727\) | − | 12.7660i | − | 0.473466i | −0.971575 | − | 0.236733i | \(-0.923923\pi\) | ||
0.971575 | − | 0.236733i | \(-0.0760767\pi\) | |||||||
\(728\) | 0.285517 | − | 1.43539i | 0.0105820 | − | 0.0531991i | ||||
\(729\) | 10.0406 | + | 24.2402i | 0.371875 | + | 0.897786i | ||||
\(730\) | −1.91291 | + | 3.87003i | −0.0708001 | + | 0.143236i | ||||
\(731\) | 39.1997 | + | 6.19702i | 1.44985 | + | 0.229205i | ||||
\(732\) | −9.54202 | − | 9.54202i | −0.352683 | − | 0.352683i | ||||
\(733\) | −2.63452 | − | 1.09125i | −0.0973081 | − | 0.0403063i | 0.333498 | − | 0.942751i | \(-0.391771\pi\) |
−0.430806 | + | 0.902444i | \(0.641771\pi\) | |||||||
\(734\) | −20.1941 | + | 13.4933i | −0.745377 | + | 0.498045i | ||||
\(735\) | 18.0980 | + | 8.94567i | 0.667556 | + | 0.329966i | ||||
\(736\) | 1.67699 | − | 8.43077i | 0.0618145 | − | 0.310762i | ||||
\(737\) | 5.06964 | − | 1.00841i | 0.186743 | − | 0.0371454i | ||||
\(738\) | 5.96574 | + | 3.98618i | 0.219602 | + | 0.146733i | ||||
\(739\) | 9.96231 | − | 24.0512i | 0.366470 | − | 0.884736i | −0.627853 | − | 0.778332i | \(-0.716066\pi\) |
0.994323 | − | 0.106404i | \(-0.0339338\pi\) | |||||||
\(740\) | 0.0374687 | − | 0.563716i | 0.00137738 | − | 0.0207226i | ||||
\(741\) | 46.0507 | − | 9.16006i | 1.69172 | − | 0.336503i | ||||
\(742\) | 0.282768 | + | 1.42157i | 0.0103807 | + | 0.0521874i | ||||
\(743\) | 28.5582 | − | 19.0820i | 1.04770 | − | 0.700049i | 0.0924080 | − | 0.995721i | \(-0.470544\pi\) |
0.955289 | + | 0.295672i | \(0.0955436\pi\) | |||||||
\(744\) | 1.41737 | − | 1.41737i | 0.0519634 | − | 0.0519634i | ||||
\(745\) | −2.04130 | − | 15.6162i | −0.0747874 | − | 0.572133i | ||||
\(746\) | 7.16120 | − | 2.96627i | 0.262190 | − | 0.108603i | ||||
\(747\) | −13.3938 | + | 13.3938i | −0.490052 | + | 0.490052i | ||||
\(748\) | −14.5277 | − | 5.35480i | −0.531186 | − | 0.195791i | ||||
\(749\) | − | 1.30714i | − | 0.0477620i | ||||||
\(750\) | 12.1048 | − | 8.03994i | 0.442005 | − | 0.293577i | ||||
\(751\) | −19.9211 | − | 29.8140i | −0.726929 | − | 1.08793i | −0.992309 | − | 0.123783i | \(-0.960497\pi\) |
0.265380 | − | 0.964144i | \(-0.414503\pi\) | |||||||
\(752\) | −4.58562 | −0.167220 | ||||||||
\(753\) | 16.5152 | + | 24.7168i | 0.601848 | + | 0.900729i | ||||
\(754\) | −5.95198 | − | 3.97699i | −0.216758 | − | 0.144833i | ||||
\(755\) | −1.46129 | + | 5.43360i | −0.0531817 | + | 0.197749i | ||||
\(756\) | 1.19930 | + | 0.496768i | 0.0436183 | + | 0.0180673i | ||||
\(757\) | −2.33308 | + | 0.966392i | −0.0847971 | + | 0.0351241i | −0.424679 | − | 0.905344i | \(-0.639613\pi\) |
0.339882 | + | 0.940468i | \(0.389613\pi\) | |||||||
\(758\) | 13.8305 | − | 20.6989i | 0.502348 | − | 0.751817i | ||||
\(759\) | −23.3091 | + | 34.8846i | −0.846068 | + | 1.26623i | ||||
\(760\) | 1.65752 | + | 12.6802i | 0.0601245 | + | 0.459960i | ||||
\(761\) | −13.0853 | − | 13.0853i | −0.474342 | − | 0.474342i | 0.428975 | − | 0.903316i | \(-0.358875\pi\) |
−0.903316 | + | 0.428975i | \(0.858875\pi\) | |||||||
\(762\) | −15.5220 | − | 3.08752i | −0.562303 | − | 0.111849i | ||||
\(763\) | −0.0708109 | + | 0.170953i | −0.00256353 | + | 0.00618890i | ||||
\(764\) | −1.51470 | −0.0547999 | ||||||||
\(765\) | −0.323939 | + | 12.0794i | −0.0117120 | + | 0.436731i | ||||
\(766\) | −19.8825 | −0.718386 | ||||||||
\(767\) | 3.45781 | − | 8.34789i | 0.124854 | − | 0.301425i | ||||
\(768\) | 1.27477 | + | 0.253568i | 0.0459993 | + | 0.00914983i | ||||
\(769\) | −9.78371 | − | 9.78371i | −0.352810 | − | 0.352810i | 0.508344 | − | 0.861154i | \(-0.330258\pi\) |
−0.861154 | + | 0.508344i | \(0.830258\pi\) | |||||||
\(770\) | −1.54238 | − | 1.18577i | −0.0555836 | − | 0.0427321i | ||||
\(771\) | −12.7626 | + | 19.1006i | −0.459634 | + | 0.687891i | ||||
\(772\) | 2.38659 | − | 3.57179i | 0.0858953 | − | 0.128551i | ||||
\(773\) | 34.2492 | − | 14.1865i | 1.23186 | − | 0.510252i | 0.330696 | − | 0.943737i | \(-0.392716\pi\) |
0.901161 | + | 0.433485i | \(0.142716\pi\) | |||||||
\(774\) | −11.6553 | − | 4.82780i | −0.418942 | − | 0.173532i | ||||
\(775\) | 5.78807 | + | 5.09487i | 0.207914 | + | 0.183013i | ||||
\(776\) | 4.18968 | + | 2.79946i | 0.150401 | + | 0.100495i | ||||
\(777\) | −0.0422709 | − | 0.0632629i | −0.00151646 | − | 0.00226955i | ||||
\(778\) | −10.2467 | −0.367364 | ||||||||
\(779\) | 17.3935 | + | 26.0312i | 0.623186 | + | 0.932664i | ||||
\(780\) | 18.3176 | + | 1.21753i | 0.655877 | + | 0.0435944i | ||||
\(781\) | 7.21274i | 0.258092i | ||||||||
\(782\) | 24.0505 | − | 26.0328i | 0.860045 | − | 0.930931i | ||||
\(783\) | 4.48971 | − | 4.48971i | 0.160449 | − | 0.160449i | ||||
\(784\) | −6.41756 | + | 2.65824i | −0.229199 | + | 0.0949372i | ||||
\(785\) | −10.4107 | + | 13.5417i | −0.371574 | + | 0.483324i | ||||
\(786\) | 9.50713 | − | 9.50713i | 0.339108 | − | 0.339108i | ||||
\(787\) | 0.927549 | − | 0.619768i | 0.0330635 | − | 0.0220924i | −0.538929 | − | 0.842351i | \(-0.681171\pi\) |
0.571992 | + | 0.820259i | \(0.306171\pi\) | |||||||
\(788\) | 3.18758 | + | 16.0250i | 0.113553 | + | 0.570868i | ||||
\(789\) | −8.42166 | + | 1.67517i | −0.299819 | + | 0.0596377i | ||||
\(790\) | −1.87447 | − | 0.124591i | −0.0666906 | − | 0.00443275i | ||||
\(791\) | 0.408954 | − | 0.987301i | 0.0145407 | − | 0.0351044i | ||||
\(792\) | 4.09235 | + | 2.73442i | 0.145415 | + | 0.0971635i | ||||
\(793\) | 64.3213 | − | 12.7943i | 2.28412 | − | 0.454339i | ||||
\(794\) | 3.57747 | − | 17.9852i | 0.126960 | − | 0.638270i | ||||
\(795\) | −17.2218 | + | 5.82835i | −0.610794 | + | 0.206710i | ||||
\(796\) | −10.5519 | + | 7.05058i | −0.374003 | + | 0.249901i | ||||
\(797\) | −29.7784 | − | 12.3346i | −1.05481 | − | 0.436915i | −0.213201 | − | 0.977008i | \(-0.568389\pi\) |
−0.841605 | + | 0.540094i | \(0.818389\pi\) | |||||||
\(798\) | 1.21780 | + | 1.21780i | 0.0431096 | + | 0.0431096i | ||||
\(799\) | −16.1237 | − | 9.87423i | −0.570417 | − | 0.349325i | ||||
\(800\) | −0.661750 | + | 4.95602i | −0.0233964 | + | 0.175222i | ||||
\(801\) | 7.06633 | + | 17.0596i | 0.249676 | + | 0.602772i | ||||
\(802\) | 1.41072 | − | 7.09217i | 0.0498143 | − | 0.250433i | ||||
\(803\) | 7.24988i | 0.255843i | ||||||||
\(804\) | −1.75469 | − | 0.349029i | −0.0618830 | − | 0.0123093i | ||||
\(805\) | 3.85879 | − | 2.22314i | 0.136005 | − | 0.0783556i | ||||
\(806\) | 1.90047 | + | 9.55429i | 0.0669411 | + | 0.336535i | ||||
\(807\) | −4.80657 | − | 11.6041i | −0.169199 | − | 0.408483i | ||||
\(808\) | 6.87579 | + | 16.5996i | 0.241890 | + | 0.583973i | ||||
\(809\) | −9.35143 | − | 47.0128i | −0.328779 | − | 1.65288i | −0.692532 | − | 0.721387i | \(-0.743505\pi\) |
0.363753 | − | 0.931495i | \(-0.381495\pi\) | |||||||
\(810\) | −1.94552 | + | 7.23417i | −0.0683587 | + | 0.254183i | ||||
\(811\) | 23.4134 | + | 4.65722i | 0.822157 | + | 0.163537i | 0.588206 | − | 0.808711i | \(-0.299834\pi\) |
0.233951 | + | 0.972248i | \(0.424834\pi\) | |||||||
\(812\) | − | 0.262569i | − | 0.00921437i | ||||||
\(813\) | 6.81099 | − | 34.2411i | 0.238872 | − | 1.20089i | ||||
\(814\) | −0.363085 | − | 0.876564i | −0.0127261 | − | 0.0307236i | ||||
\(815\) | −16.7429 | − | 49.4724i | −0.586477 | − | 1.73294i | ||||
\(816\) | 3.93627 | + | 3.63655i | 0.137797 | + | 0.127305i | ||||
\(817\) | −38.9246 | − | 38.9246i | −1.36180 | − | 1.36180i | ||||
\(818\) | 5.04705 | + | 2.09055i | 0.176466 | + | 0.0730945i | ||||
\(819\) | −1.59490 | + | 1.06568i | −0.0557303 | + | 0.0372378i | ||||
\(820\) | 3.92403 | + | 11.5948i | 0.137033 | + | 0.404909i | ||||
\(821\) | −0.922689 | + | 4.63867i | −0.0322021 | + | 0.161891i | −0.993540 | − | 0.113479i | \(-0.963800\pi\) |
0.961338 | + | 0.275370i | \(0.0888004\pi\) | |||||||
\(822\) | −6.73119 | + | 1.33892i | −0.234777 | + | 0.0467001i | ||||
\(823\) | −39.4255 | − | 26.3433i | −1.37429 | − | 0.918268i | −0.374326 | − | 0.927297i | \(-0.622126\pi\) |
−0.999959 | + | 0.00902870i | \(0.997126\pi\) | |||||||
\(824\) | 1.11078 | − | 2.68167i | 0.0386960 | − | 0.0934204i | ||||
\(825\) | 12.2409 | − | 21.1121i | 0.426175 | − | 0.735030i | ||||
\(826\) | 0.325060 | − | 0.0646584i | 0.0113103 | − | 0.00224975i | ||||
\(827\) | 4.29568 | + | 21.5958i | 0.149375 | + | 0.750961i | 0.980753 | + | 0.195253i | \(0.0625527\pi\) |
−0.831378 | + | 0.555708i | \(0.812447\pi\) | |||||||
\(828\) | −9.36766 | + | 6.25927i | −0.325549 | + | 0.217525i | ||||
\(829\) | −25.4470 | + | 25.4470i | −0.883812 | + | 0.883812i | −0.993920 | − | 0.110108i | \(-0.964880\pi\) |
0.110108 | + | 0.993920i | \(0.464880\pi\) | |||||||
\(830\) | −32.0429 | + | 4.18855i | −1.11223 | + | 0.145387i | ||||
\(831\) | −26.0927 | + | 10.8080i | −0.905146 | + | 0.374924i | ||||
\(832\) | −4.46651 | + | 4.46651i | −0.154849 | + | 0.154849i | ||||
\(833\) | −28.2891 | − | 4.47218i | −0.980159 | − | 0.154952i | ||||
\(834\) | 10.7462i | 0.372112i | ||||||||
\(835\) | 1.54190 | − | 1.34971i | 0.0533598 | − | 0.0467085i | ||||
\(836\) | 11.9315 | + | 17.8568i | 0.412660 | + | 0.617589i | ||||
\(837\) | −8.64058 | −0.298662 | ||||||||
\(838\) | 5.00808 | + | 7.49513i | 0.173001 | + | 0.258915i | ||||
\(839\) | −0.105053 | − | 0.0701939i | −0.00362682 | − | 0.00242336i | 0.553756 | − | 0.832679i | \(-0.313194\pi\) |
−0.557382 | + | 0.830256i | \(0.688194\pi\) | |||||||
\(840\) | 0.336149 | + | 0.583467i | 0.0115983 | + | 0.0201315i | ||||
\(841\) | 25.6060 | + | 10.6063i | 0.882965 | + | 0.365736i | ||||
\(842\) | −21.5533 | + | 8.92766i | −0.742775 | + | 0.307667i | ||||
\(843\) | −1.48995 | + | 2.22987i | −0.0513167 | + | 0.0768009i | ||||
\(844\) | −6.72603 | + | 10.0662i | −0.231520 | + | 0.346494i | ||||
\(845\) | −36.6604 | + | 47.6858i | −1.26115 | + | 1.64044i | ||||
\(846\) | 4.24986 | + | 4.24986i | 0.146113 | + | 0.146113i | ||||
\(847\) | −0.704829 | − | 0.140199i | −0.0242182 | − | 0.00481730i | ||||
\(848\) | 2.39399 | − | 5.77959i | 0.0822098 | − | 0.198472i | ||||
\(849\) | −7.83897 | −0.269033 | ||||||||
\(850\) | −12.9986 | + | 16.0011i | −0.445849 | + | 0.548834i | ||||
\(851\) | 2.17183 | 0.0744495 | ||||||||
\(852\) | 0.955350 | − | 2.30642i | 0.0327298 | − | 0.0790166i | ||||
\(853\) | −37.0917 | − | 7.37800i | −1.27000 | − | 0.252618i | −0.486316 | − | 0.873783i | \(-0.661660\pi\) |
−0.783680 | + | 0.621165i | \(0.786660\pi\) | |||||||
\(854\) | 1.70096 | + | 1.70096i | 0.0582057 | + | 0.0582057i | ||||
\(855\) | 10.2156 | − | 13.2879i | 0.349366 | − | 0.454437i | ||||
\(856\) | −3.13437 | + | 4.69092i | −0.107131 | + | 0.160332i | ||||
\(857\) | −4.67457 | + | 6.99598i | −0.159680 | + | 0.238978i | −0.902679 | − | 0.430314i | \(-0.858403\pi\) |
0.742999 | + | 0.669293i | \(0.233403\pi\) | |||||||
\(858\) | 28.4835 | − | 11.7982i | 0.972409 | − | 0.402785i | ||||
\(859\) | −30.9791 | − | 12.8320i | −1.05699 | − | 0.437821i | −0.214610 | − | 0.976700i | \(-0.568848\pi\) |
−0.842383 | + | 0.538879i | \(0.818848\pi\) | |||||||
\(860\) | −10.7444 | − | 18.6494i | −0.366380 | − | 0.635938i | ||||
\(861\) | 1.37070 | + | 0.915873i | 0.0467134 | + | 0.0312129i | ||||
\(862\) | −7.38136 | − | 11.0470i | −0.251410 | − | 0.376262i | ||||
\(863\) | 26.1614 | 0.890545 | 0.445273 | − | 0.895395i | \(-0.353107\pi\) | ||||
0.445273 | + | 0.895395i | \(0.353107\pi\) | |||||||
\(864\) | −3.11273 | − | 4.65853i | −0.105897 | − | 0.158486i | ||||
\(865\) | 9.18605 | − | 8.04102i | 0.312335 | − | 0.273403i | ||||
\(866\) | − | 15.9662i | − | 0.542553i | ||||||
\(867\) | 6.00994 | + | 21.2626i | 0.204108 | + | 0.722116i | ||||
\(868\) | −0.252661 | + | 0.252661i | −0.00857586 | + | 0.00857586i | ||||
\(869\) | −2.91475 | + | 1.20733i | −0.0988762 | + | 0.0409559i | ||||
\(870\) | 3.26585 | − | 0.426901i | 0.110723 | − | 0.0144733i | ||||
\(871\) | 6.14803 | − | 6.14803i | 0.208318 | − | 0.208318i | ||||
\(872\) | 0.664041 | − | 0.443698i | 0.0224873 | − | 0.0150255i | ||||
\(873\) | −1.28843 | − | 6.47739i | −0.0436068 | − | 0.219226i | ||||
\(874\) | −48.2157 | + | 9.59070i | −1.63092 | + | 0.324410i | ||||
\(875\) | −2.15780 | + | 1.43320i | −0.0729470 | + | 0.0484510i | ||||
\(876\) | 0.960270 | − | 2.31830i | 0.0324445 | − | 0.0783280i | ||||
\(877\) | 22.0398 | + | 14.7265i | 0.744231 | + | 0.497279i | 0.868942 | − | 0.494914i | \(-0.164800\pi\) |
−0.124711 | + | 0.992193i | \(0.539800\pi\) | |||||||
\(878\) | 6.70800 | − | 1.33430i | 0.226384 | − | 0.0450306i | ||||
\(879\) | 5.73707 | − | 28.8422i | 0.193507 | − | 0.972823i | ||||
\(880\) | 2.69179 | + | 7.95379i | 0.0907402 | + | 0.268122i | ||||
\(881\) | −7.94047 | + | 5.30565i | −0.267521 | + | 0.178752i | −0.682095 | − | 0.731264i | \(-0.738931\pi\) |
0.414574 | + | 0.910016i | \(0.363931\pi\) | |||||||
\(882\) | 8.41126 | + | 3.48406i | 0.283222 | + | 0.117314i | ||||
\(883\) | 0.220809 | + | 0.220809i | 0.00743081 | + | 0.00743081i | 0.710812 | − | 0.703382i | \(-0.248327\pi\) |
−0.703382 | + | 0.710812i | \(0.748327\pi\) | |||||||
\(884\) | −25.3227 | + | 6.08717i | −0.851694 | + | 0.204734i | ||||
\(885\) | 1.33273 | + | 3.93798i | 0.0447991 | + | 0.132374i | ||||
\(886\) | −10.9637 | − | 26.4687i | −0.368333 | − | 0.889233i | ||||
\(887\) | 7.18445 | − | 36.1187i | 0.241230 | − | 1.21275i | −0.650262 | − | 0.759710i | \(-0.725341\pi\) |
0.891492 | − | 0.453036i | \(-0.149659\pi\) | |||||||
\(888\) | 0.328391i | 0.0110201i | ||||||||
\(889\) | 2.76695 | + | 0.550381i | 0.0928006 | + | 0.0184592i | ||||
\(890\) | −8.18149 | + | 30.4218i | −0.274244 | + | 1.01974i | ||||
\(891\) | 2.45436 | + | 12.3389i | 0.0822242 | + | 0.413369i | ||||
\(892\) | −2.11973 | − | 5.11747i | −0.0709737 | − | 0.171346i | ||||
\(893\) | 10.0360 | + | 24.2290i | 0.335841 | + | 0.810791i | ||||
\(894\) | 1.78592 | + | 8.97844i | 0.0597302 | + | 0.300284i | ||||
\(895\) | 8.61820 | − | 4.96515i | 0.288075 | − | 0.165967i | ||||
\(896\) | −0.227241 | − | 0.0452010i | −0.00759157 | − | 0.00151006i | ||||
\(897\) | 70.5725i | 2.35635i | ||||||||
\(898\) | 6.37587 | − | 32.0536i | 0.212765 | − | 1.06964i | ||||
\(899\) | 0.668824 | + | 1.61468i | 0.0223065 | + | 0.0538527i | ||||
\(900\) | 5.20643 | − | 3.97983i | 0.173548 | − | 0.132661i | ||||
\(901\) | 20.8628 | − | 15.1669i | 0.695041 | − | 0.505284i | ||||
\(902\) | 14.5361 | + | 14.5361i | 0.483998 | + | 0.483998i | ||||
\(903\) | −2.67796 | − | 1.10925i | −0.0891168 | − | 0.0369134i | ||||
\(904\) | −3.83503 | + | 2.56249i | −0.127551 | + | 0.0852270i | ||||
\(905\) | −33.9974 | + | 11.5057i | −1.13011 | + | 0.382463i | ||||
\(906\) | 0.638057 | − | 3.20773i | 0.0211980 | − | 0.106570i | ||||
\(907\) | 50.7536 | − | 10.0955i | 1.68525 | − | 0.335216i | 0.742785 | − | 0.669530i | \(-0.233505\pi\) |
0.942462 | + | 0.334314i | \(0.108505\pi\) | |||||||
\(908\) | 19.8350 | + | 13.2533i | 0.658246 | + | 0.439826i | ||||
\(909\) | 9.01185 | − | 21.7565i | 0.298904 | − | 0.721618i | ||||
\(910\) | −3.26530 | − | 0.217036i | −0.108244 | − | 0.00719467i | ||||
\(911\) | −35.9361 | + | 7.14813i | −1.19061 | + | 0.236828i | −0.750351 | − | 0.661040i | \(-0.770115\pi\) |
−0.440264 | + | 0.897868i | \(0.645115\pi\) | |||||||
\(912\) | −1.45016 | − | 7.29043i | −0.0480195 | − | 0.241410i | ||||
\(913\) | −45.1240 | + | 30.1509i | −1.49339 | + | 0.997850i | ||||
\(914\) | 14.9555 | − | 14.9555i | 0.494683 | − | 0.494683i | ||||
\(915\) | −18.3911 | + | 23.9221i | −0.607991 | + | 0.790842i | ||||
\(916\) | 22.9451 | − | 9.50419i | 0.758129 | − | 0.314027i | ||||
\(917\) | −1.69474 | + | 1.69474i | −0.0559652 | + | 0.0559652i | ||||
\(918\) | −0.913597 | − | 23.0827i | −0.0301532 | − | 0.761843i | ||||
\(919\) | − | 28.6462i | − | 0.944952i | −0.881343 | − | 0.472476i | \(-0.843360\pi\) | ||
0.881343 | − | 0.472476i | \(-0.156640\pi\) | |||||||
\(920\) | −19.1788 | − | 1.27476i | −0.632306 | − | 0.0420277i | ||||
\(921\) | −16.7793 | − | 25.1121i | −0.552898 | − | 0.827471i | ||||
\(922\) | 36.8266 | 1.21282 | ||||||||
\(923\) | 6.74043 | + | 10.0878i | 0.221864 | + | 0.332043i | ||||
\(924\) | 0.940269 | + | 0.628267i | 0.0309326 | + | 0.0206685i | ||||
\(925\) | −1.26073 | + | 0.0803038i | −0.0414527 | + | 0.00264037i | ||||
\(926\) | 5.95780 | + | 2.46780i | 0.195786 | + | 0.0810970i | ||||
\(927\) | −3.51476 | + | 1.45586i | −0.115440 | + | 0.0478168i | ||||
\(928\) | −0.629608 | + | 0.942276i | −0.0206679 | + | 0.0309317i | ||||
\(929\) | −14.1081 | + | 21.1142i | −0.462870 | + | 0.692734i | −0.987326 | − | 0.158703i | \(-0.949269\pi\) |
0.524456 | + | 0.851438i | \(0.324269\pi\) | |||||||
\(930\) | −3.55340 | − | 2.73181i | −0.116520 | − | 0.0895797i | ||||
\(931\) | 28.0906 | + | 28.0906i | 0.920631 | + | 0.920631i | ||||
\(932\) | 19.1524 | + | 3.80964i | 0.627357 | + | 0.124789i | ||||
\(933\) | −2.84214 | + | 6.86154i | −0.0930476 | + | 0.224637i | ||||
\(934\) | −27.5862 | −0.902647 | ||||||||
\(935\) | −7.66217 | + | 33.7629i | −0.250580 | + | 1.10417i | ||||
\(936\) | 8.27894 | 0.270606 | ||||||||
\(937\) | 10.3892 | − | 25.0817i | 0.339400 | − | 0.819385i | −0.658373 | − | 0.752692i | \(-0.728755\pi\) |
0.997774 | − | 0.0666932i | \(-0.0212449\pi\) | |||||||
\(938\) | 0.312790 | + | 0.0622179i | 0.0102130 | + | 0.00203149i | ||||
\(939\) | 13.1479 | + | 13.1479i | 0.429064 | + | 0.429064i | ||||
\(940\) | 1.32903 | + | 10.1673i | 0.0433483 | + | 0.331620i | ||||
\(941\) | −3.84639 | + | 5.75653i | −0.125389 | + | 0.187657i | −0.888853 | − | 0.458193i | \(-0.848497\pi\) |
0.763464 | + | 0.645850i | \(0.223497\pi\) | |||||||
\(942\) | 5.51601 | − | 8.25530i | 0.179721 | − | 0.268972i | ||||
\(943\) | −43.4746 | + | 18.0078i | −1.41573 | + | 0.586413i | ||||
\(944\) | −1.32158 | − | 0.547416i | −0.0430137 | − | 0.0178169i | ||||
\(945\) | 0.753848 | − | 2.80308i | 0.0245227 | − | 0.0911842i | ||||
\(946\) | −30.0539 | − | 20.0813i | −0.977135 | − | 0.652901i | ||||
\(947\) | −7.08749 | − | 10.6072i | −0.230312 | − | 0.344687i | 0.698256 | − | 0.715848i | \(-0.253960\pi\) |
−0.928568 | + | 0.371161i | \(0.878960\pi\) | |||||||
\(948\) | 1.09197 | 0.0354654 | ||||||||
\(949\) | 6.77514 | + | 10.1397i | 0.219930 | + | 0.329149i | ||||
\(950\) | 27.6343 | − | 7.35012i | 0.896574 | − | 0.238469i | ||||
\(951\) | 13.9941i | 0.453790i | ||||||||
\(952\) | −0.701680 | − | 0.648251i | −0.0227416 | − | 0.0210099i | ||||
\(953\) | 8.80491 | − | 8.80491i | 0.285219 | − | 0.285219i | −0.549967 | − | 0.835186i | \(-0.685360\pi\) |
0.835186 | + | 0.549967i | \(0.185360\pi\) | |||||||
\(954\) | −7.57510 | + | 3.13771i | −0.245253 | + | 0.101587i | ||||
\(955\) | 0.439000 | + | 3.35840i | 0.0142057 | + | 0.108675i | ||||
\(956\) | 6.66212 | − | 6.66212i | 0.215468 | − | 0.215468i | ||||
\(957\) | 4.59909 | − | 3.07301i | 0.148667 | − | 0.0993364i | ||||
\(958\) | −5.14003 | − | 25.8407i | −0.166067 | − | 0.834874i | ||||
\(959\) | 1.19990 | − | 0.238675i | 0.0387469 | − | 0.00770723i | ||||
\(960\) | 0.192750 | − | 2.89992i | 0.00622098 | − | 0.0935945i | ||||
\(961\) | −10.9530 | + | 26.4429i | −0.353323 | + | 0.852998i | ||||
\(962\) | −1.32698 | − | 0.886657i | −0.0427834 | − | 0.0285870i | ||||
\(963\) | 7.25232 | − | 1.44258i | 0.233703 | − | 0.0464864i | ||||
\(964\) | 5.37617 | − | 27.0278i | 0.173155 | − | 0.870507i | ||||
\(965\) | −8.61108 | − | 4.25637i | −0.277201 | − | 0.137017i | ||||
\(966\) | −2.15234 | + | 1.43814i | −0.0692503 | + | 0.0462715i | ||||
\(967\) | −20.6427 | − | 8.55048i | −0.663824 | − | 0.274965i | 0.0252226 | − | 0.999682i | \(-0.491971\pi\) |
−0.689047 | + | 0.724717i | \(0.741971\pi\) | |||||||
\(968\) | 2.19322 | + | 2.19322i | 0.0704929 | + | 0.0704929i | ||||
\(969\) | 10.5995 | − | 28.7568i | 0.340506 | − | 0.923803i | ||||
\(970\) | 4.99269 | − | 10.1007i | 0.160306 | − | 0.324315i | ||||
\(971\) | 22.0127 | + | 53.1434i | 0.706421 | + | 1.70545i | 0.708755 | + | 0.705455i | \(0.249257\pi\) |
−0.00233344 | + | 0.999997i | \(0.500743\pi\) | |||||||
\(972\) | −2.42964 | + | 12.2146i | −0.0779307 | + | 0.391784i | ||||
\(973\) | − | 1.91562i | − | 0.0614121i | ||||||
\(974\) | −15.2706 | − | 3.03751i | −0.489302 | − | 0.0973282i | ||||
\(975\) | −2.60943 | − | 40.9669i | −0.0835685 | − | 1.31199i | ||||
\(976\) | −2.02550 | − | 10.1829i | −0.0648348 | − | 0.325946i | ||||
\(977\) | 10.9310 | + | 26.3897i | 0.349713 | + | 0.844282i | 0.996654 | + | 0.0817415i | \(0.0260482\pi\) |
−0.646941 | + | 0.762540i | \(0.723952\pi\) | |||||||
\(978\) | 11.6177 | + | 28.0477i | 0.371495 | + | 0.896867i | ||||
\(979\) | 10.3213 | + | 51.8887i | 0.329870 | + | 1.65837i | ||||
\(980\) | 7.75384 | + | 13.4586i | 0.247687 | + | 0.429920i | ||||
\(981\) | −1.02663 | − | 0.204209i | −0.0327777 | − | 0.00651990i | ||||
\(982\) | − | 29.4001i | − | 0.938195i | ||||||
\(983\) | 8.03048 | − | 40.3720i | 0.256133 | − | 1.28767i | −0.611812 | − | 0.791004i | \(-0.709559\pi\) |
0.867944 | − | 0.496662i | \(-0.165441\pi\) | |||||||
\(984\) | −2.72285 | − | 6.57355i | −0.0868014 | − | 0.209557i | ||||
\(985\) | 34.6069 | − | 11.7120i | 1.10267 | − | 0.373175i | ||||
\(986\) | −4.24280 | + | 1.95744i | −0.135118 | + | 0.0623377i | ||||
\(987\) | 0.976458 | + | 0.976458i | 0.0310810 | + | 0.0310810i | ||||
\(988\) | 33.3749 | + | 13.8243i | 1.06180 | + | 0.439811i | ||||
\(989\) | 68.7952 | − | 45.9675i | 2.18756 | − | 1.46168i | ||||
\(990\) | 4.87671 | − | 9.86609i | 0.154992 | − | 0.313565i | ||||
\(991\) | 1.32060 | − | 6.63910i | 0.0419502 | − | 0.210898i | −0.954125 | − | 0.299408i | \(-0.903211\pi\) |
0.996075 | + | 0.0885106i | \(0.0282107\pi\) | |||||||
\(992\) | 1.51257 | − | 0.300868i | 0.0480240 | − | 0.00955258i | ||||
\(993\) | −6.91150 | − | 4.61812i | −0.219330 | − | 0.146552i | ||||
\(994\) | −0.170301 | + | 0.411142i | −0.00540161 | + | 0.0130406i | ||||
\(995\) | 18.6908 | + | 21.3524i | 0.592538 | + | 0.676916i | ||||
\(996\) | 18.4229 | − | 3.66454i | 0.583752 | − | 0.116116i | ||||
\(997\) | −3.41136 | − | 17.1501i | −0.108039 | − | 0.543148i | −0.996456 | − | 0.0841118i | \(-0.973195\pi\) |
0.888417 | − | 0.459037i | \(-0.151805\pi\) | |||||||
\(998\) | 1.84513 | − | 1.23288i | 0.0584066 | − | 0.0390261i | ||||
\(999\) | 1.00097 | − | 1.00097i | 0.0316692 | − | 0.0316692i |
(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 | 170.2.r.b.107.2 | yes | 40 | |
5.2 | odd | 4 | 850.2.s.d.243.2 | 40 | |||
5.3 | odd | 4 | 170.2.o.b.73.4 | yes | 40 | ||
5.4 | even | 2 | 850.2.v.d.107.4 | 40 | |||
17.7 | odd | 16 | 170.2.o.b.7.4 | ✓ | 40 | ||
85.7 | even | 16 | 850.2.v.d.143.4 | 40 | |||
85.24 | odd | 16 | 850.2.s.d.7.2 | 40 | |||
85.58 | even | 16 | inner | 170.2.r.b.143.2 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
170.2.o.b.7.4 | ✓ | 40 | 17.7 | odd | 16 | ||
170.2.o.b.73.4 | yes | 40 | 5.3 | odd | 4 | ||
170.2.r.b.107.2 | yes | 40 | 1.1 | even | 1 | trivial | |
170.2.r.b.143.2 | yes | 40 | 85.58 | even | 16 | inner | |
850.2.s.d.7.2 | 40 | 85.24 | odd | 16 | |||
850.2.s.d.243.2 | 40 | 5.2 | odd | 4 | |||
850.2.v.d.107.4 | 40 | 5.4 | even | 2 | |||
850.2.v.d.143.4 | 40 | 85.7 | even | 16 |