Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(193,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.193");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.y (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 583.3 | ||
Character | \(\chi\) | \(=\) | 882.583 |
Dual form | 882.2.y.a.823.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.365341 | + | 0.930874i | −0.258335 | + | 0.658227i | ||||
\(3\) | −1.66540 | + | 0.475871i | −0.961517 | + | 0.274744i | ||||
\(4\) | −0.733052 | − | 0.680173i | −0.366526 | − | 0.340086i | ||||
\(5\) | −2.16757 | + | 1.04385i | −0.969367 | + | 0.466822i | −0.850435 | − | 0.526080i | \(-0.823661\pi\) |
−0.118932 | + | 0.992902i | \(0.537947\pi\) | |||||||
\(6\) | 0.165462 | − | 1.72413i | 0.0675494 | − | 0.703873i | ||||
\(7\) | 0.529338 | + | 2.59226i | 0.200071 | + | 0.979781i | ||||
\(8\) | 0.900969 | − | 0.433884i | 0.318541 | − | 0.153401i | ||||
\(9\) | 2.54709 | − | 1.58503i | 0.849031 | − | 0.528343i | ||||
\(10\) | −0.179787 | − | 2.39909i | −0.0568537 | − | 0.758660i | ||||
\(11\) | 3.71162 | + | 4.65422i | 1.11910 | + | 1.40330i | 0.904435 | + | 0.426612i | \(0.140293\pi\) |
0.214661 | + | 0.976689i | \(0.431135\pi\) | |||||||
\(12\) | 1.54450 | + | 0.783919i | 0.445858 | + | 0.226298i | ||||
\(13\) | −1.01151 | + | 2.57728i | −0.280542 | + | 0.714808i | 0.719257 | + | 0.694744i | \(0.244482\pi\) |
−0.999799 | + | 0.0200643i | \(0.993613\pi\) | |||||||
\(14\) | −2.60645 | − | 0.454311i | −0.696604 | − | 0.121420i | ||||
\(15\) | 3.11313 | − | 2.76990i | 0.803806 | − | 0.715186i | ||||
\(16\) | 0.0747301 | + | 0.997204i | 0.0186825 | + | 0.249301i | ||||
\(17\) | 3.21455 | − | 2.98267i | 0.779643 | − | 0.723403i | −0.186206 | − | 0.982511i | \(-0.559619\pi\) |
0.965848 | + | 0.259108i | \(0.0834286\pi\) | |||||||
\(18\) | 0.544905 | + | 2.95010i | 0.128435 | + | 0.695345i | ||||
\(19\) | −3.75775 | + | 6.50861i | −0.862086 | + | 1.49318i | 0.00782604 | + | 0.999969i | \(0.497509\pi\) |
−0.869912 | + | 0.493207i | \(0.835824\pi\) | |||||||
\(20\) | 2.29894 | + | 0.709128i | 0.514058 | + | 0.158566i | ||||
\(21\) | −2.11514 | − | 4.06524i | −0.461561 | − | 0.887108i | ||||
\(22\) | −5.68850 | + | 1.75467i | −1.21279 | + | 0.374097i | ||||
\(23\) | −0.0371607 | + | 0.162812i | −0.00774853 | + | 0.0339485i | −0.978654 | − | 0.205513i | \(-0.934114\pi\) |
0.970906 | + | 0.239461i | \(0.0769709\pi\) | |||||||
\(24\) | −1.29400 | + | 1.15133i | −0.264136 | + | 0.235015i | ||||
\(25\) | 0.491293 | − | 0.616062i | 0.0982586 | − | 0.123212i | ||||
\(26\) | −2.02958 | − | 1.88317i | −0.398032 | − | 0.369320i | ||||
\(27\) | −3.48765 | + | 3.85179i | −0.671199 | + | 0.741278i | ||||
\(28\) | 1.37515 | − | 2.26030i | 0.259879 | − | 0.427157i | ||||
\(29\) | 8.62819 | + | 2.66144i | 1.60221 | + | 0.494218i | 0.961787 | − | 0.273800i | \(-0.0882807\pi\) |
0.640428 | + | 0.768018i | \(0.278757\pi\) | |||||||
\(30\) | 1.44108 | + | 3.90989i | 0.263103 | + | 0.713844i | ||||
\(31\) | 1.70685 | − | 2.95634i | 0.306559 | − | 0.530975i | −0.671049 | − | 0.741413i | \(-0.734156\pi\) |
0.977607 | + | 0.210438i | \(0.0674891\pi\) | |||||||
\(32\) | −0.955573 | − | 0.294755i | −0.168923 | − | 0.0521058i | ||||
\(33\) | −8.39613 | − | 5.98487i | −1.46158 | − | 1.04183i | ||||
\(34\) | 1.60208 | + | 4.08203i | 0.274754 | + | 0.700062i | ||||
\(35\) | −3.85330 | − | 5.06635i | −0.651326 | − | 0.856370i | ||||
\(36\) | −2.94524 | − | 0.570554i | −0.490874 | − | 0.0950924i | ||||
\(37\) | −7.81522 | − | 2.41068i | −1.28481 | − | 0.396313i | −0.424200 | − | 0.905569i | \(-0.639445\pi\) |
−0.860615 | + | 0.509256i | \(0.829921\pi\) | |||||||
\(38\) | −4.68583 | − | 5.87585i | −0.760142 | − | 0.953188i | ||||
\(39\) | 0.458108 | − | 4.77354i | 0.0733559 | − | 0.764378i | ||||
\(40\) | −1.50000 | + | 1.88095i | −0.237172 | + | 0.297404i | ||||
\(41\) | −6.62897 | − | 4.51955i | −1.03527 | − | 0.705836i | −0.0785701 | − | 0.996909i | \(-0.525035\pi\) |
−0.956701 | + | 0.291073i | \(0.905988\pi\) | |||||||
\(42\) | 4.55697 | − | 0.483729i | 0.703156 | − | 0.0746409i | ||||
\(43\) | −3.86565 | + | 2.63556i | −0.589506 | + | 0.401919i | −0.821009 | − | 0.570916i | \(-0.806588\pi\) |
0.231502 | + | 0.972834i | \(0.425636\pi\) | |||||||
\(44\) | 0.444866 | − | 5.93633i | 0.0670661 | − | 0.894935i | ||||
\(45\) | −3.86647 | + | 6.09443i | −0.576380 | + | 0.908505i | ||||
\(46\) | −0.137981 | − | 0.0940736i | −0.0203441 | − | 0.0138704i | ||||
\(47\) | 2.11100 | − | 5.37873i | 0.307921 | − | 0.784569i | −0.690219 | − | 0.723600i | \(-0.742486\pi\) |
0.998140 | − | 0.0609684i | \(-0.0194189\pi\) | |||||||
\(48\) | −0.598996 | − | 1.62518i | −0.0864576 | − | 0.234574i | ||||
\(49\) | −6.43960 | + | 2.74436i | −0.919943 | + | 0.392052i | ||||
\(50\) | 0.393986 | + | 0.682404i | 0.0557181 | + | 0.0965065i | ||||
\(51\) | −3.93413 | + | 6.49703i | −0.550889 | + | 0.909767i | ||||
\(52\) | 2.49448 | − | 1.20128i | 0.345922 | − | 0.166587i | ||||
\(53\) | 2.33200 | − | 0.719328i | 0.320325 | − | 0.0988072i | −0.130423 | − | 0.991458i | \(-0.541633\pi\) |
0.450748 | + | 0.892651i | \(0.351157\pi\) | |||||||
\(54\) | −2.31135 | − | 4.65378i | −0.314535 | − | 0.633299i | ||||
\(55\) | −12.9035 | − | 6.21399i | −1.73991 | − | 0.837894i | ||||
\(56\) | 1.60166 | + | 2.10587i | 0.214030 | + | 0.281409i | ||||
\(57\) | 3.16088 | − | 12.6276i | 0.418668 | − | 1.67257i | ||||
\(58\) | −5.62970 | + | 7.05942i | −0.739216 | + | 0.926948i | ||||
\(59\) | −0.899866 | + | 0.613518i | −0.117153 | + | 0.0798733i | −0.620479 | − | 0.784223i | \(-0.713062\pi\) |
0.503326 | + | 0.864096i | \(0.332109\pi\) | |||||||
\(60\) | −4.16610 | − | 0.0869813i | −0.537841 | − | 0.0112292i | ||||
\(61\) | −3.33580 | + | 3.09517i | −0.427106 | + | 0.396296i | −0.864223 | − | 0.503108i | \(-0.832190\pi\) |
0.437118 | + | 0.899404i | \(0.355999\pi\) | |||||||
\(62\) | 2.12840 | + | 2.66893i | 0.270307 | + | 0.338955i | ||||
\(63\) | 5.45708 | + | 5.76370i | 0.687527 | + | 0.726159i | ||||
\(64\) | 0.623490 | − | 0.781831i | 0.0779362 | − | 0.0977289i | ||||
\(65\) | −0.497771 | − | 6.64229i | −0.0617408 | − | 0.823874i | ||||
\(66\) | 8.63861 | − | 5.62922i | 1.06334 | − | 0.692909i | ||||
\(67\) | 7.30495 | − | 12.6525i | 0.892442 | − | 1.54575i | 0.0555021 | − | 0.998459i | \(-0.482324\pi\) |
0.836939 | − | 0.547296i | \(-0.184343\pi\) | |||||||
\(68\) | −4.38516 | −0.531779 | ||||||||
\(69\) | −0.0155901 | − | 0.288829i | −0.00187683 | − | 0.0347710i | ||||
\(70\) | 6.12390 | − | 1.73599i | 0.731946 | − | 0.207490i | ||||
\(71\) | −2.33298 | + | 10.2214i | −0.276873 | + | 1.21306i | 0.624849 | + | 0.780746i | \(0.285161\pi\) |
−0.901722 | + | 0.432316i | \(0.857697\pi\) | |||||||
\(72\) | 1.60713 | − | 2.53320i | 0.189402 | − | 0.298541i | ||||
\(73\) | −0.926750 | − | 0.139685i | −0.108468 | − | 0.0163489i | 0.0945840 | − | 0.995517i | \(-0.469848\pi\) |
−0.203052 | + | 0.979168i | \(0.565086\pi\) | |||||||
\(74\) | 5.09926 | − | 6.39427i | 0.592777 | − | 0.743318i | ||||
\(75\) | −0.525031 | + | 1.25978i | −0.0606254 | + | 0.145467i | ||||
\(76\) | 7.18160 | − | 2.21523i | 0.823786 | − | 0.254104i | ||||
\(77\) | −10.1002 | + | 12.0851i | −1.15103 | + | 1.37723i | ||||
\(78\) | 4.27620 | + | 2.17041i | 0.484184 | + | 0.245750i | ||||
\(79\) | 0.765945 | + | 1.32666i | 0.0861755 | + | 0.149260i | 0.905892 | − | 0.423510i | \(-0.139202\pi\) |
−0.819716 | + | 0.572770i | \(0.805869\pi\) | |||||||
\(80\) | −1.20291 | − | 2.08350i | −0.134489 | − | 0.232943i | ||||
\(81\) | 3.97536 | − | 8.07443i | 0.441707 | − | 0.897159i | ||||
\(82\) | 6.62897 | − | 4.51955i | 0.732047 | − | 0.499101i | ||||
\(83\) | −1.56631 | − | 3.99090i | −0.171925 | − | 0.438058i | 0.818776 | − | 0.574113i | \(-0.194653\pi\) |
−0.990701 | + | 0.136055i | \(0.956558\pi\) | |||||||
\(84\) | −1.21456 | + | 4.41869i | −0.132519 | + | 0.482119i | ||||
\(85\) | −3.85431 | + | 9.82063i | −0.418059 | + | 1.06520i | ||||
\(86\) | −1.04109 | − | 4.56131i | −0.112264 | − | 0.491859i | ||||
\(87\) | −15.6359 | − | 0.326451i | −1.67634 | − | 0.0349993i | ||||
\(88\) | 5.36344 | + | 2.58290i | 0.571745 | + | 0.275338i | ||||
\(89\) | 0.879828 | + | 2.24176i | 0.0932616 | + | 0.237627i | 0.969891 | − | 0.243540i | \(-0.0783086\pi\) |
−0.876629 | + | 0.481166i | \(0.840213\pi\) | |||||||
\(90\) | −4.26057 | − | 5.82575i | −0.449103 | − | 0.614087i | ||||
\(91\) | −7.21640 | − | 1.25784i | −0.756484 | − | 0.131857i | ||||
\(92\) | 0.137981 | − | 0.0940736i | 0.0143855 | − | 0.00980785i | ||||
\(93\) | −1.43574 | + | 5.73572i | −0.148879 | + | 0.594767i | ||||
\(94\) | 4.23569 | + | 3.93014i | 0.436878 | + | 0.405363i | ||||
\(95\) | 1.35119 | − | 18.0304i | 0.138629 | − | 1.84988i | ||||
\(96\) | 1.73167 | + | 0.0361545i | 0.176738 | + | 0.00369001i | ||||
\(97\) | −2.57345 | + | 4.45735i | −0.261295 | + | 0.452576i | −0.966586 | − | 0.256342i | \(-0.917483\pi\) |
0.705292 | + | 0.708917i | \(0.250816\pi\) | |||||||
\(98\) | −0.202004 | − | 6.99708i | −0.0204055 | − | 0.706812i | ||||
\(99\) | 16.8309 | + | 5.97171i | 1.69157 | + | 0.600180i | ||||
\(100\) | −0.779171 | + | 0.117441i | −0.0779171 | + | 0.0117441i | ||||
\(101\) | −3.47129 | + | 1.67169i | −0.345406 | + | 0.166339i | −0.598541 | − | 0.801092i | \(-0.704253\pi\) |
0.253135 | + | 0.967431i | \(0.418538\pi\) | |||||||
\(102\) | −4.61062 | − | 6.03581i | −0.456519 | − | 0.597635i | ||||
\(103\) | −6.76959 | + | 3.26006i | −0.667027 | + | 0.321223i | −0.736576 | − | 0.676355i | \(-0.763558\pi\) |
0.0695484 | + | 0.997579i | \(0.477844\pi\) | |||||||
\(104\) | 0.206903 | + | 2.76092i | 0.0202885 | + | 0.270731i | ||||
\(105\) | 8.82820 | + | 6.60381i | 0.861544 | + | 0.644466i | ||||
\(106\) | −0.182373 | + | 2.43360i | −0.0177136 | + | 0.236372i | ||||
\(107\) | 5.77184 | + | 14.7064i | 0.557985 | + | 1.42172i | 0.879993 | + | 0.474986i | \(0.157547\pi\) |
−0.322008 | + | 0.946737i | \(0.604358\pi\) | |||||||
\(108\) | 5.17651 | − | 0.451359i | 0.498110 | − | 0.0434320i | ||||
\(109\) | 1.83524 | − | 4.67613i | 0.175785 | − | 0.447892i | −0.815642 | − | 0.578557i | \(-0.803616\pi\) |
0.991427 | + | 0.130665i | \(0.0417113\pi\) | |||||||
\(110\) | 10.4986 | − | 9.74129i | 1.00100 | − | 0.928796i | ||||
\(111\) | 14.1626 | + | 0.295692i | 1.34426 | + | 0.0280659i | ||||
\(112\) | −2.54545 | + | 0.721578i | −0.240523 | + | 0.0681827i | ||||
\(113\) | 0.725091 | + | 0.109290i | 0.0682108 | + | 0.0102811i | 0.183059 | − | 0.983102i | \(-0.441400\pi\) |
−0.114848 | + | 0.993383i | \(0.536638\pi\) | |||||||
\(114\) | 10.5999 | + | 7.55576i | 0.992773 | + | 0.707662i | ||||
\(115\) | −0.0894019 | − | 0.391695i | −0.00833677 | − | 0.0365258i | ||||
\(116\) | −4.51467 | − | 7.81964i | −0.419177 | − | 0.726035i | ||||
\(117\) | 1.50866 | + | 8.16783i | 0.139476 | + | 0.755117i | ||||
\(118\) | −0.242350 | − | 1.06181i | −0.0223101 | − | 0.0977471i | ||||
\(119\) | 9.43342 | + | 6.75410i | 0.864760 | + | 0.619147i | ||||
\(120\) | 1.60301 | − | 3.84633i | 0.146335 | − | 0.351120i | ||||
\(121\) | −5.43795 | + | 23.8252i | −0.494359 | + | 2.16593i | ||||
\(122\) | −1.66251 | − | 4.23600i | −0.150516 | − | 0.383510i | ||||
\(123\) | 13.1906 | + | 4.37231i | 1.18936 | + | 0.394238i | ||||
\(124\) | −3.26203 | + | 1.00620i | −0.292939 | + | 0.0903597i | ||||
\(125\) | 2.25489 | − | 9.87932i | 0.201683 | − | 0.883633i | ||||
\(126\) | −7.35898 | + | 2.97413i | −0.655590 | + | 0.264957i | ||||
\(127\) | −4.45137 | − | 19.5027i | −0.394995 | − | 1.73059i | −0.646665 | − | 0.762774i | \(-0.723837\pi\) |
0.251669 | − | 0.967813i | \(-0.419020\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 5.18366 | − | 6.22880i | 0.456396 | − | 0.548415i | ||||
\(130\) | 6.36499 | + | 1.96334i | 0.558246 | + | 0.172196i | ||||
\(131\) | 14.5390 | + | 7.00160i | 1.27028 | + | 0.611733i | 0.942873 | − | 0.333152i | \(-0.108112\pi\) |
0.327403 | + | 0.944885i | \(0.393826\pi\) | |||||||
\(132\) | 2.08405 | + | 10.0980i | 0.181393 | + | 0.878922i | ||||
\(133\) | −18.8611 | − | 6.29579i | −1.63546 | − | 0.545914i | ||||
\(134\) | 9.10912 | + | 11.4225i | 0.786908 | + | 0.986752i | ||||
\(135\) | 3.53904 | − | 11.9896i | 0.304592 | − | 1.03190i | ||||
\(136\) | 1.60208 | − | 4.08203i | 0.137377 | − | 0.350031i | ||||
\(137\) | −11.4547 | − | 5.51628i | −0.978638 | − | 0.471287i | −0.125002 | − | 0.992157i | \(-0.539894\pi\) |
−0.853636 | + | 0.520869i | \(0.825608\pi\) | |||||||
\(138\) | 0.274559 | + | 0.0910088i | 0.0233721 | + | 0.00774719i | ||||
\(139\) | 7.04027 | + | 4.79997i | 0.597148 | + | 0.407128i | 0.823827 | − | 0.566841i | \(-0.191835\pi\) |
−0.226680 | + | 0.973969i | \(0.572787\pi\) | |||||||
\(140\) | −0.621328 | + | 6.33481i | −0.0525118 | + | 0.535389i | ||||
\(141\) | −0.956062 | + | 9.96229i | −0.0805150 | + | 0.838976i | ||||
\(142\) | −8.66254 | − | 5.90602i | −0.726944 | − | 0.495622i | ||||
\(143\) | −15.7496 | + | 4.85809i | −1.31704 | + | 0.406254i | ||||
\(144\) | 1.77094 | + | 2.42152i | 0.147578 | + | 0.201793i | ||||
\(145\) | −21.4803 | + | 3.23764i | −1.78385 | + | 0.268871i | ||||
\(146\) | 0.468609 | − | 0.811655i | 0.0387824 | − | 0.0671730i | ||||
\(147\) | 9.41853 | − | 7.63487i | 0.776827 | − | 0.629714i | ||||
\(148\) | 4.08929 | + | 7.08285i | 0.336137 | + | 0.582207i | ||||
\(149\) | −14.1700 | − | 17.7686i | −1.16085 | − | 1.45566i | −0.865950 | − | 0.500131i | \(-0.833285\pi\) |
−0.294900 | − | 0.955528i | \(-0.595286\pi\) | |||||||
\(150\) | −0.980880 | − | 0.948987i | −0.0800885 | − | 0.0774845i | ||||
\(151\) | −1.07250 | + | 4.69894i | −0.0872791 | + | 0.382395i | −0.999635 | − | 0.0270025i | \(-0.991404\pi\) |
0.912356 | + | 0.409397i | \(0.134261\pi\) | |||||||
\(152\) | −0.561633 | + | 7.49448i | −0.0455545 | + | 0.607882i | ||||
\(153\) | 3.46014 | − | 12.6923i | 0.279736 | − | 1.02611i | ||||
\(154\) | −7.55970 | − | 13.8172i | −0.609178 | − | 1.11343i | ||||
\(155\) | −0.613738 | + | 8.18977i | −0.0492966 | + | 0.657818i | ||||
\(156\) | −3.58265 | + | 3.18766i | −0.286841 | + | 0.255217i | ||||
\(157\) | 17.4096 | − | 11.8697i | 1.38944 | − | 0.947305i | 0.389790 | − | 0.920904i | \(-0.372548\pi\) |
0.999651 | − | 0.0264008i | \(-0.00840462\pi\) | |||||||
\(158\) | −1.51478 | + | 0.228316i | −0.120509 | + | 0.0181639i | ||||
\(159\) | −3.54140 | + | 2.30770i | −0.280851 | + | 0.183012i | ||||
\(160\) | 2.37895 | − | 0.358569i | 0.188072 | − | 0.0283474i | ||||
\(161\) | −0.441720 | − | 0.0101477i | −0.0348124 | − | 0.000799749i | ||||
\(162\) | 6.06392 | + | 6.65048i | 0.476426 | + | 0.522511i | ||||
\(163\) | −4.92218 | + | 3.35589i | −0.385535 | + | 0.262853i | −0.740542 | − | 0.672010i | \(-0.765431\pi\) |
0.355007 | + | 0.934864i | \(0.384479\pi\) | |||||||
\(164\) | 1.78530 | + | 7.82191i | 0.139409 | + | 0.610789i | ||||
\(165\) | 24.4465 | + | 4.20836i | 1.90316 | + | 0.327620i | ||||
\(166\) | 4.28726 | 0.332756 | ||||||||
\(167\) | 14.3004 | − | 13.2689i | 1.10660 | − | 1.02677i | 0.107129 | − | 0.994245i | \(-0.465834\pi\) |
0.999471 | − | 0.0325296i | \(-0.0103563\pi\) | |||||||
\(168\) | −3.66952 | − | 2.74493i | −0.283109 | − | 0.211776i | ||||
\(169\) | 3.91046 | + | 3.62838i | 0.300805 | + | 0.279106i | ||||
\(170\) | −7.73363 | − | 7.17576i | −0.593142 | − | 0.550355i | ||||
\(171\) | 0.745006 | + | 22.5342i | 0.0569720 | + | 1.72323i | ||||
\(172\) | 4.62636 | + | 0.697311i | 0.352756 | + | 0.0531695i | ||||
\(173\) | −2.74961 | + | 0.848143i | −0.209049 | + | 0.0644831i | −0.397511 | − | 0.917597i | \(-0.630126\pi\) |
0.188462 | + | 0.982080i | \(0.439650\pi\) | |||||||
\(174\) | 6.01631 | − | 14.4358i | 0.456095 | − | 1.09437i | ||||
\(175\) | 1.85705 | + | 0.947453i | 0.140380 | + | 0.0716207i | ||||
\(176\) | −4.36384 | + | 4.04905i | −0.328937 | + | 0.305209i | ||||
\(177\) | 1.20668 | − | 1.44997i | 0.0906995 | − | 0.108987i | ||||
\(178\) | −2.40824 | −0.180505 | ||||||||
\(179\) | 5.79710 | − | 5.37892i | 0.433295 | − | 0.402039i | −0.433142 | − | 0.901326i | \(-0.642595\pi\) |
0.866437 | + | 0.499287i | \(0.166405\pi\) | |||||||
\(180\) | 6.97959 | − | 1.83767i | 0.520228 | − | 0.136972i | ||||
\(181\) | −16.0951 | + | 20.1826i | −1.19634 | + | 1.50016i | −0.377623 | + | 0.925959i | \(0.623259\pi\) |
−0.818715 | + | 0.574201i | \(0.805313\pi\) | |||||||
\(182\) | 3.80733 | − | 6.25802i | 0.282218 | − | 0.463875i | ||||
\(183\) | 4.08253 | − | 6.74210i | 0.301789 | − | 0.498390i | ||||
\(184\) | 0.0371607 | + | 0.162812i | 0.00273952 | + | 0.0120026i | ||||
\(185\) | 19.4564 | − | 2.93258i | 1.43046 | − | 0.215608i | ||||
\(186\) | −4.81470 | − | 3.43198i | −0.353031 | − | 0.251645i | ||||
\(187\) | 25.8132 | + | 3.89071i | 1.88765 | + | 0.284517i | ||||
\(188\) | −5.20594 | + | 2.50705i | −0.379682 | + | 0.182845i | ||||
\(189\) | −11.8310 | − | 7.00199i | −0.860577 | − | 0.509320i | ||||
\(190\) | 16.2903 | + | 7.84502i | 1.18183 | + | 0.569137i | ||||
\(191\) | 3.61436 | + | 2.46423i | 0.261526 | + | 0.178305i | 0.686984 | − | 0.726673i | \(-0.258934\pi\) |
−0.425458 | + | 0.904978i | \(0.639887\pi\) | |||||||
\(192\) | −0.666307 | + | 1.59876i | −0.0480865 | + | 0.115381i | ||||
\(193\) | −0.607715 | + | 8.10939i | −0.0437443 | + | 0.583727i | 0.931664 | + | 0.363321i | \(0.118357\pi\) |
−0.975408 | + | 0.220406i | \(0.929262\pi\) | |||||||
\(194\) | −3.20905 | − | 4.02402i | −0.230396 | − | 0.288907i | ||||
\(195\) | 3.98986 | + | 10.8252i | 0.285720 | + | 0.775206i | ||||
\(196\) | 6.58720 | + | 2.36828i | 0.470514 | + | 0.169163i | ||||
\(197\) | −11.5382 | −0.822062 | −0.411031 | − | 0.911621i | \(-0.634831\pi\) | ||||
−0.411031 | + | 0.911621i | \(0.634831\pi\) | |||||||
\(198\) | −11.7079 | + | 13.4857i | −0.832047 | + | 0.958390i | ||||
\(199\) | 10.7766 | + | 7.34736i | 0.763933 | + | 0.520840i | 0.881477 | − | 0.472227i | \(-0.156550\pi\) |
−0.117544 | + | 0.993068i | \(0.537502\pi\) | |||||||
\(200\) | 0.175340 | − | 0.768216i | 0.0123984 | − | 0.0543211i | ||||
\(201\) | −6.14465 | + | 24.5477i | −0.433411 | + | 1.73146i | ||||
\(202\) | −0.287923 | − | 3.84207i | −0.0202582 | − | 0.270327i | ||||
\(203\) | −2.33192 | + | 23.7753i | −0.163669 | + | 1.66870i | ||||
\(204\) | 7.30303 | − | 2.08677i | 0.511314 | − | 0.146103i | ||||
\(205\) | 19.0865 | + | 2.87682i | 1.33306 | + | 0.200926i | ||||
\(206\) | −0.561498 | − | 7.49267i | −0.0391214 | − | 0.522039i | ||||
\(207\) | 0.163409 | + | 0.473597i | 0.0113577 | + | 0.0329173i | ||||
\(208\) | −2.64566 | − | 0.816078i | −0.183444 | − | 0.0565849i | ||||
\(209\) | −44.2398 | + | 6.66808i | −3.06013 | + | 0.461241i | ||||
\(210\) | −9.37262 | + | 5.80530i | −0.646772 | + | 0.400603i | ||||
\(211\) | 10.0267 | + | 1.51128i | 0.690264 | + | 0.104041i | 0.484801 | − | 0.874624i | \(-0.338892\pi\) |
0.205463 | + | 0.978665i | \(0.434130\pi\) | |||||||
\(212\) | −2.19875 | − | 1.05886i | −0.151010 | − | 0.0727228i | ||||
\(213\) | −0.978759 | − | 18.1329i | −0.0670634 | − | 1.24245i | ||||
\(214\) | −15.7985 | −1.07996 | ||||||||
\(215\) | 5.62795 | − | 9.74790i | 0.383823 | − | 0.664801i | ||||
\(216\) | −1.47103 | + | 4.98358i | −0.100091 | + | 0.339090i | ||||
\(217\) | 8.56710 | + | 2.85968i | 0.581573 | + | 0.194128i | ||||
\(218\) | 3.68239 | + | 3.41676i | 0.249403 | + | 0.231412i | ||||
\(219\) | 1.60988 | − | 0.208383i | 0.108786 | − | 0.0140812i | ||||
\(220\) | 5.23234 | + | 13.3318i | 0.352764 | + | 0.898828i | ||||
\(221\) | 4.43562 | + | 11.3018i | 0.298372 | + | 0.760239i | ||||
\(222\) | −5.44944 | + | 13.0756i | −0.365742 | + | 0.877576i | ||||
\(223\) | 0.501573 | + | 0.465392i | 0.0335878 | + | 0.0311649i | 0.696788 | − | 0.717277i | \(-0.254612\pi\) |
−0.663200 | + | 0.748442i | \(0.730802\pi\) | |||||||
\(224\) | 0.258260 | − | 2.63312i | 0.0172557 | − | 0.175932i | ||||
\(225\) | 0.274892 | − | 2.34788i | 0.0183262 | − | 0.156525i | ||||
\(226\) | −0.366640 | + | 0.635040i | −0.0243886 | + | 0.0422422i | ||||
\(227\) | −4.02315 | −0.267026 | −0.133513 | − | 0.991047i | \(-0.542626\pi\) | ||||
−0.133513 | + | 0.991047i | \(0.542626\pi\) | |||||||
\(228\) | −10.9060 | + | 7.10675i | −0.722271 | + | 0.470656i | ||||
\(229\) | 1.67317 | + | 0.805757i | 0.110566 | + | 0.0532459i | 0.488349 | − | 0.872648i | \(-0.337599\pi\) |
−0.377783 | + | 0.925894i | \(0.623313\pi\) | |||||||
\(230\) | 0.397281 | + | 0.0598805i | 0.0261959 | + | 0.00394840i | ||||
\(231\) | 11.0699 | − | 24.9330i | 0.728349 | − | 1.64047i | ||||
\(232\) | 8.92849 | − | 1.34575i | 0.586184 | − | 0.0883530i | ||||
\(233\) | −10.4008 | − | 3.20822i | −0.681380 | − | 0.210178i | −0.0653047 | − | 0.997865i | \(-0.520802\pi\) |
−0.616075 | + | 0.787688i | \(0.711278\pi\) | |||||||
\(234\) | −8.15440 | − | 1.57967i | −0.533070 | − | 0.103266i | ||||
\(235\) | 1.03884 | + | 13.8623i | 0.0677663 | + | 0.904279i | ||||
\(236\) | 1.07695 | + | 0.162324i | 0.0701033 | + | 0.0105664i | ||||
\(237\) | −1.90692 | − | 1.84492i | −0.123868 | − | 0.119840i | ||||
\(238\) | −9.73363 | + | 6.31377i | −0.630938 | + | 0.409261i | ||||
\(239\) | 0.925163 | + | 12.3454i | 0.0598439 | + | 0.798561i | 0.943700 | + | 0.330802i | \(0.107319\pi\) |
−0.883856 | + | 0.467759i | \(0.845062\pi\) | |||||||
\(240\) | 2.99480 | + | 2.89743i | 0.193314 | + | 0.187028i | ||||
\(241\) | −2.12785 | + | 9.32270i | −0.137067 | + | 0.600528i | 0.859004 | + | 0.511968i | \(0.171083\pi\) |
−0.996071 | + | 0.0885595i | \(0.971774\pi\) | |||||||
\(242\) | −20.1915 | − | 13.7664i | −1.29796 | − | 0.884935i | ||||
\(243\) | −2.77816 | + | 15.3389i | −0.178219 | + | 0.983991i | ||||
\(244\) | 4.55057 | 0.291320 | ||||||||
\(245\) | 11.0936 | − | 12.6706i | 0.708744 | − | 0.809492i | ||||
\(246\) | −8.88914 | + | 10.6814i | −0.566751 | + | 0.681020i | ||||
\(247\) | −12.9735 | − | 16.2683i | −0.825484 | − | 1.03512i | ||||
\(248\) | 0.255106 | − | 3.40415i | 0.0161992 | − | 0.216164i | ||||
\(249\) | 4.50768 | + | 5.90106i | 0.285663 | + | 0.373965i | ||||
\(250\) | 8.37259 | + | 5.70834i | 0.529529 | + | 0.361027i | ||||
\(251\) | −9.45463 | − | 4.55311i | −0.596771 | − | 0.287390i | 0.111013 | − | 0.993819i | \(-0.464591\pi\) |
−0.707784 | + | 0.706429i | \(0.750305\pi\) | |||||||
\(252\) | −0.0800069 | − | 7.93685i | −0.00503996 | − | 0.499975i | ||||
\(253\) | −0.895687 | + | 0.431340i | −0.0563114 | + | 0.0271181i | ||||
\(254\) | 19.7808 | + | 2.98148i | 1.24116 | + | 0.187075i | ||||
\(255\) | 1.74560 | − | 18.1894i | 0.109314 | − | 1.13906i | ||||
\(256\) | −0.988831 | + | 0.149042i | −0.0618019 | + | 0.00931514i | ||||
\(257\) | 1.97299 | + | 8.64421i | 0.123071 | + | 0.539211i | 0.998444 | + | 0.0557624i | \(0.0177589\pi\) |
−0.875373 | + | 0.483449i | \(0.839384\pi\) | |||||||
\(258\) | 3.90442 | + | 7.10097i | 0.243079 | + | 0.442087i | ||||
\(259\) | 2.11220 | − | 21.5351i | 0.131246 | − | 1.33813i | ||||
\(260\) | −4.15301 | + | 5.20771i | −0.257559 | + | 0.322968i | ||||
\(261\) | 26.1953 | − | 6.89699i | 1.62145 | − | 0.426913i | ||||
\(262\) | −11.8293 | + | 10.9760i | −0.730816 | + | 0.678098i | ||||
\(263\) | −10.4901 | −0.646849 | −0.323424 | − | 0.946254i | \(-0.604834\pi\) | ||||
−0.323424 | + | 0.946254i | \(0.604834\pi\) | |||||||
\(264\) | −10.1614 | − | 1.74924i | −0.625390 | − | 0.107658i | ||||
\(265\) | −4.30391 | + | 3.99345i | −0.264387 | + | 0.245315i | ||||
\(266\) | 12.7513 | − | 15.2572i | 0.781834 | − | 0.935479i | ||||
\(267\) | −2.53205 | − | 3.31474i | −0.154959 | − | 0.202859i | ||||
\(268\) | −13.9608 | + | 4.30634i | −0.852793 | + | 0.263052i | ||||
\(269\) | 10.8072 | + | 1.62892i | 0.658926 | + | 0.0993171i | 0.469989 | − | 0.882672i | \(-0.344258\pi\) |
0.188937 | + | 0.981989i | \(0.439496\pi\) | |||||||
\(270\) | 9.86784 | + | 7.67469i | 0.600538 | + | 0.467067i | ||||
\(271\) | 6.32481 | + | 5.86857i | 0.384205 | + | 0.356490i | 0.848505 | − | 0.529188i | \(-0.177503\pi\) |
−0.464300 | + | 0.885678i | \(0.653694\pi\) | |||||||
\(272\) | 3.21455 | + | 2.98267i | 0.194911 | + | 0.180851i | ||||
\(273\) | 12.6167 | − | 1.33928i | 0.763599 | − | 0.0810571i | ||||
\(274\) | 9.31981 | − | 8.64752i | 0.563031 | − | 0.522416i | ||||
\(275\) | 4.69078 | 0.282865 | ||||||||
\(276\) | −0.185026 | + | 0.222331i | −0.0111372 | + | 0.0133828i | ||||
\(277\) | −0.551872 | − | 2.41791i | −0.0331588 | − | 0.145278i | 0.955639 | − | 0.294542i | \(-0.0951669\pi\) |
−0.988797 | + | 0.149263i | \(0.952310\pi\) | |||||||
\(278\) | −7.04027 | + | 4.79997i | −0.422247 | + | 0.287883i | ||||
\(279\) | −0.338397 | − | 10.2355i | −0.0202593 | − | 0.612782i | ||||
\(280\) | −5.66991 | − | 2.89274i | −0.338842 | − | 0.172874i | ||||
\(281\) | 24.0600 | − | 3.62646i | 1.43530 | − | 0.216336i | 0.615114 | − | 0.788438i | \(-0.289110\pi\) |
0.820183 | + | 0.572102i | \(0.193872\pi\) | |||||||
\(282\) | −8.92434 | − | 4.52961i | −0.531437 | − | 0.269734i | ||||
\(283\) | 2.35002 | − | 0.354209i | 0.139694 | − | 0.0210555i | −0.0788229 | − | 0.996889i | \(-0.525116\pi\) |
0.218517 | + | 0.975833i | \(0.429878\pi\) | |||||||
\(284\) | 8.66254 | − | 5.90602i | 0.514027 | − | 0.350458i | ||||
\(285\) | 6.32987 | + | 30.6707i | 0.374949 | + | 1.81678i | ||||
\(286\) | 1.23169 | − | 16.4357i | 0.0728311 | − | 0.971864i | ||||
\(287\) | 8.20688 | − | 19.5764i | 0.484437 | − | 1.15556i | ||||
\(288\) | −2.90113 | + | 0.763842i | −0.170951 | + | 0.0450098i | ||||
\(289\) | 0.166619 | − | 2.22338i | 0.00980114 | − | 0.130787i | ||||
\(290\) | 4.83382 | − | 21.1783i | 0.283851 | − | 1.24363i | ||||
\(291\) | 2.16470 | − | 8.64790i | 0.126897 | − | 0.506949i | ||||
\(292\) | 0.584346 | + | 0.732747i | 0.0341963 | + | 0.0428808i | ||||
\(293\) | −12.0979 | − | 20.9542i | −0.706768 | − | 1.22416i | −0.966050 | − | 0.258356i | \(-0.916819\pi\) |
0.259282 | − | 0.965802i | \(-0.416514\pi\) | |||||||
\(294\) | 3.66613 | + | 11.5568i | 0.213813 | + | 0.674006i | ||||
\(295\) | 1.31010 | − | 2.26917i | 0.0762772 | − | 0.132116i | ||||
\(296\) | −8.08723 | + | 1.21895i | −0.470061 | + | 0.0708502i | ||||
\(297\) | −30.8719 | − | 1.93592i | −1.79137 | − | 0.112333i | ||||
\(298\) | 21.7172 | − | 6.69886i | 1.25804 | − | 0.388055i | ||||
\(299\) | −0.382022 | − | 0.260458i | −0.0220929 | − | 0.0150627i | ||||
\(300\) | 1.24174 | − | 0.566372i | 0.0716920 | − | 0.0326995i | ||||
\(301\) | −8.87828 | − | 8.62567i | −0.511736 | − | 0.497175i | ||||
\(302\) | −3.98229 | − | 2.71508i | −0.229155 | − | 0.156235i | ||||
\(303\) | 4.98557 | − | 4.43591i | 0.286413 | − | 0.254836i | ||||
\(304\) | −6.77122 | − | 3.26085i | −0.388356 | − | 0.187023i | ||||
\(305\) | 3.99970 | − | 10.1911i | 0.229022 | − | 0.583539i | ||||
\(306\) | 10.5508 | + | 7.85796i | 0.603148 | + | 0.449210i | ||||
\(307\) | −7.50836 | − | 9.41519i | −0.428525 | − | 0.537353i | 0.519954 | − | 0.854194i | \(-0.325949\pi\) |
−0.948479 | + | 0.316841i | \(0.897378\pi\) | |||||||
\(308\) | 15.6240 | − | 1.98912i | 0.890259 | − | 0.113340i | ||||
\(309\) | 9.72268 | − | 8.65075i | 0.553104 | − | 0.492124i | ||||
\(310\) | −7.39941 | − | 3.56337i | −0.420258 | − | 0.202386i | ||||
\(311\) | −23.2976 | − | 7.18635i | −1.32108 | − | 0.407501i | −0.447548 | − | 0.894260i | \(-0.647703\pi\) |
−0.873536 | + | 0.486759i | \(0.838179\pi\) | |||||||
\(312\) | −1.65842 | − | 4.49957i | −0.0938895 | − | 0.254738i | ||||
\(313\) | 2.35671 | + | 4.08194i | 0.133209 | + | 0.230725i | 0.924912 | − | 0.380182i | \(-0.124138\pi\) |
−0.791703 | + | 0.610906i | \(0.790805\pi\) | |||||||
\(314\) | 4.68873 | + | 20.5427i | 0.264600 | + | 1.15929i | ||||
\(315\) | −17.8450 | − | 6.79688i | −1.00545 | − | 0.382961i | ||||
\(316\) | 0.340878 | − | 1.49348i | 0.0191759 | − | 0.0840149i | ||||
\(317\) | 2.36570 | − | 0.729722i | 0.132871 | − | 0.0409853i | −0.227606 | − | 0.973753i | \(-0.573090\pi\) |
0.360477 | + | 0.932768i | \(0.382614\pi\) | |||||||
\(318\) | −0.854357 | − | 4.13970i | −0.0479100 | − | 0.232143i | ||||
\(319\) | 19.6376 | + | 50.0358i | 1.09949 | + | 2.80147i | ||||
\(320\) | −0.535345 | + | 2.34550i | −0.0299267 | + | 0.131118i | ||||
\(321\) | −16.6108 | − | 21.7454i | −0.927123 | − | 1.21371i | ||||
\(322\) | 0.170825 | − | 0.407478i | 0.00951969 | − | 0.0227079i | ||||
\(323\) | 7.33354 | + | 32.1303i | 0.408049 | + | 1.78778i | ||||
\(324\) | −8.40616 | + | 3.21505i | −0.467009 | + | 0.178614i | ||||
\(325\) | 1.09082 | + | 1.88935i | 0.0605076 | + | 0.104802i | ||||
\(326\) | −1.32563 | − | 5.80798i | −0.0734200 | − | 0.321674i | ||||
\(327\) | −0.831175 | + | 8.66094i | −0.0459641 | + | 0.478951i | ||||
\(328\) | −7.93346 | − | 1.19578i | −0.438052 | − | 0.0660257i | ||||
\(329\) | 15.0605 | + | 2.62508i | 0.830312 | + | 0.144725i | ||||
\(330\) | −12.8488 | + | 21.2191i | −0.707301 | + | 1.16807i | ||||
\(331\) | 24.5049 | − | 22.7372i | 1.34691 | − | 1.24975i | 0.404816 | − | 0.914398i | \(-0.367335\pi\) |
0.942093 | − | 0.335351i | \(-0.108855\pi\) | |||||||
\(332\) | −1.56631 | + | 3.99090i | −0.0859625 | + | 0.219029i | ||||
\(333\) | −23.7271 | + | 6.24714i | −1.30024 | + | 0.342341i | ||||
\(334\) | 7.12710 | + | 18.1595i | 0.389977 | + | 0.993646i | ||||
\(335\) | −2.62667 | + | 35.0505i | −0.143510 | + | 1.91501i | ||||
\(336\) | 3.89581 | − | 2.41302i | 0.212534 | − | 0.131641i | ||||
\(337\) | −0.785022 | − | 10.4754i | −0.0427629 | − | 0.570631i | −0.976897 | − | 0.213710i | \(-0.931445\pi\) |
0.934134 | − | 0.356922i | \(-0.116174\pi\) | |||||||
\(338\) | −4.80621 | + | 2.31455i | −0.261423 | + | 0.125895i | ||||
\(339\) | −1.25957 | + | 0.163039i | −0.0684105 | + | 0.00885506i | ||||
\(340\) | 9.50514 | − | 4.57743i | 0.515488 | − | 0.248246i | ||||
\(341\) | 20.0946 | − | 3.02878i | 1.08819 | − | 0.164018i | ||||
\(342\) | −21.2486 | − | 7.53915i | −1.14899 | − | 0.407670i | ||||
\(343\) | −10.5228 | − | 15.2404i | −0.568179 | − | 0.822905i | ||||
\(344\) | −2.33931 | + | 4.05180i | −0.126127 | + | 0.218458i | ||||
\(345\) | 0.335286 | + | 0.609784i | 0.0180512 | + | 0.0328297i | ||||
\(346\) | 0.215032 | − | 2.86940i | 0.0115602 | − | 0.154260i | ||||
\(347\) | 11.1748 | + | 10.3687i | 0.599896 | + | 0.556622i | 0.920575 | − | 0.390566i | \(-0.127721\pi\) |
−0.320679 | + | 0.947188i | \(0.603911\pi\) | |||||||
\(348\) | 11.2399 | + | 10.8744i | 0.602520 | + | 0.582929i | ||||
\(349\) | −21.9377 | + | 14.9569i | −1.17430 | + | 0.800623i | −0.983483 | − | 0.181003i | \(-0.942066\pi\) |
−0.190816 | + | 0.981626i | \(0.561113\pi\) | |||||||
\(350\) | −1.56042 | + | 1.38254i | −0.0834077 | + | 0.0738997i | ||||
\(351\) | −6.39935 | − | 12.8848i | −0.341572 | − | 0.687737i | ||||
\(352\) | −2.17487 | − | 5.54147i | −0.115921 | − | 0.295361i | ||||
\(353\) | 25.0834 | + | 12.0795i | 1.33505 | + | 0.642927i | 0.958930 | − | 0.283642i | \(-0.0915429\pi\) |
0.376123 | + | 0.926570i | \(0.377257\pi\) | |||||||
\(354\) | 0.908892 | + | 1.65300i | 0.0483071 | + | 0.0878559i | ||||
\(355\) | −5.61272 | − | 24.5909i | −0.297892 | − | 1.30515i | ||||
\(356\) | 0.879828 | − | 2.24176i | 0.0466308 | − | 0.118813i | ||||
\(357\) | −18.9245 | − | 6.75916i | −1.00159 | − | 0.357733i | ||||
\(358\) | 2.88918 | + | 7.36150i | 0.152698 | + | 0.389068i | ||||
\(359\) | 16.2312 | − | 11.0663i | 0.856652 | − | 0.584056i | −0.0533887 | − | 0.998574i | \(-0.517002\pi\) |
0.910041 | + | 0.414518i | \(0.136050\pi\) | |||||||
\(360\) | −0.839296 | + | 7.16850i | −0.0442348 | + | 0.377813i | ||||
\(361\) | −18.7413 | − | 32.4609i | −0.986384 | − | 1.70847i | ||||
\(362\) | −12.9073 | − | 22.3560i | −0.678390 | − | 1.17501i | ||||
\(363\) | −2.28139 | − | 42.2662i | −0.119742 | − | 2.21840i | ||||
\(364\) | 4.43445 | + | 5.83046i | 0.232428 | + | 0.305599i | ||||
\(365\) | 2.15461 | − | 0.664608i | 0.112777 | − | 0.0347872i | ||||
\(366\) | 4.78453 | + | 6.26349i | 0.250091 | + | 0.327398i | ||||
\(367\) | −3.47973 | + | 4.36344i | −0.181640 | + | 0.227770i | −0.864313 | − | 0.502955i | \(-0.832246\pi\) |
0.682672 | + | 0.730725i | \(0.260818\pi\) | |||||||
\(368\) | −0.165133 | − | 0.0248898i | −0.00860817 | − | 0.00129747i | ||||
\(369\) | −24.0482 | − | 1.00461i | −1.25190 | − | 0.0522981i | ||||
\(370\) | −4.37836 | + | 19.1829i | −0.227620 | + | 0.997269i | ||||
\(371\) | 3.09910 | + | 5.66439i | 0.160897 | + | 0.294080i | ||||
\(372\) | 4.95375 | − | 3.22804i | 0.256840 | − | 0.167366i | ||||
\(373\) | −26.3710 | −1.36544 | −0.682719 | − | 0.730681i | \(-0.739203\pi\) | ||||
−0.682719 | + | 0.730681i | \(0.739203\pi\) | |||||||
\(374\) | −13.0524 | + | 22.6074i | −0.674922 | + | 1.16900i | ||||
\(375\) | 0.945999 | + | 17.5260i | 0.0488512 | + | 0.905040i | ||||
\(376\) | −0.431802 | − | 5.76200i | −0.0222685 | − | 0.297152i | ||||
\(377\) | −15.5868 | + | 19.5452i | −0.802759 | + | 1.00663i | ||||
\(378\) | 10.8403 | − | 8.45504i | 0.557565 | − | 0.434880i | ||||
\(379\) | 2.48800 | + | 3.11986i | 0.127800 | + | 0.160256i | 0.841615 | − | 0.540078i | \(-0.181605\pi\) |
−0.713814 | + | 0.700335i | \(0.753034\pi\) | |||||||
\(380\) | −13.2543 | + | 12.2981i | −0.679929 | + | 0.630882i | ||||
\(381\) | 16.6941 | + | 30.3615i | 0.855264 | + | 1.55547i | ||||
\(382\) | −3.61436 | + | 2.46423i | −0.184927 | + | 0.126081i | ||||
\(383\) | −17.4945 | + | 21.9374i | −0.893928 | + | 1.12095i | 0.0981306 | + | 0.995174i | \(0.468714\pi\) |
−0.992059 | + | 0.125777i | \(0.959858\pi\) | |||||||
\(384\) | −1.24482 | − | 1.20434i | −0.0635242 | − | 0.0614587i | ||||
\(385\) | 9.27796 | − | 36.7385i | 0.472849 | − | 1.87237i | ||||
\(386\) | −7.32680 | − | 3.52840i | −0.372924 | − | 0.179591i | ||||
\(387\) | −5.66874 | + | 12.8402i | −0.288158 | + | 0.652703i | ||||
\(388\) | 4.91825 | − | 1.51708i | 0.249686 | − | 0.0770180i | ||||
\(389\) | 18.7677 | − | 9.03804i | 0.951559 | − | 0.458247i | 0.107327 | − | 0.994224i | \(-0.465771\pi\) |
0.844233 | + | 0.535977i | \(0.180057\pi\) | |||||||
\(390\) | −11.5345 | − | 0.240822i | −0.584073 | − | 0.0121945i | ||||
\(391\) | 0.366157 | + | 0.634203i | 0.0185174 | + | 0.0320730i | ||||
\(392\) | −4.61115 | + | 5.26662i | −0.232898 | + | 0.266005i | ||||
\(393\) | −27.5450 | − | 4.74176i | −1.38946 | − | 0.239190i | ||||
\(394\) | 4.21538 | − | 10.7406i | 0.212368 | − | 0.541104i | ||||
\(395\) | −3.04506 | − | 2.07609i | −0.153214 | − | 0.104459i | ||||
\(396\) | −8.27614 | − | 15.8255i | −0.415892 | − | 0.795262i | ||||
\(397\) | 1.92120 | − | 25.6366i | 0.0964223 | − | 1.28667i | −0.713719 | − | 0.700432i | \(-0.752991\pi\) |
0.810141 | − | 0.586234i | \(-0.199390\pi\) | |||||||
\(398\) | −10.7766 | + | 7.34736i | −0.540182 | + | 0.368290i | ||||
\(399\) | 34.4072 | + | 1.50953i | 1.72251 | + | 0.0755710i | ||||
\(400\) | 0.651053 | + | 0.443881i | 0.0325527 | + | 0.0221940i | ||||
\(401\) | 7.69745 | − | 9.65230i | 0.384392 | − | 0.482013i | −0.551562 | − | 0.834134i | \(-0.685968\pi\) |
0.935954 | + | 0.352121i | \(0.114539\pi\) | |||||||
\(402\) | −20.6059 | − | 14.6882i | −1.02773 | − | 0.732580i | ||||
\(403\) | 5.89283 | + | 7.38938i | 0.293543 | + | 0.368091i | ||||
\(404\) | 3.68167 | + | 1.13565i | 0.183170 | + | 0.0565005i | ||||
\(405\) | −0.188406 | + | 21.6516i | −0.00936199 | + | 1.07587i | ||||
\(406\) | −21.2799 | − | 10.8568i | −1.05610 | − | 0.538815i | ||||
\(407\) | −17.7873 | − | 45.3213i | −0.881684 | − | 2.24649i | ||||
\(408\) | −0.725575 | + | 7.56058i | −0.0359213 | + | 0.374305i | ||||
\(409\) | −14.0963 | − | 4.34815i | −0.697020 | − | 0.215002i | −0.0740574 | − | 0.997254i | \(-0.523595\pi\) |
−0.622962 | + | 0.782252i | \(0.714071\pi\) | |||||||
\(410\) | −9.65103 | + | 16.7161i | −0.476630 | + | 0.825548i | ||||
\(411\) | 21.7016 | + | 3.73584i | 1.07046 | + | 0.184275i | ||||
\(412\) | 7.17986 | + | 2.21469i | 0.353726 | + | 0.109110i | ||||
\(413\) | −2.06673 | − | 2.00793i | −0.101697 | − | 0.0988036i | ||||
\(414\) | −0.500559 | − | 0.0209108i | −0.0246011 | − | 0.00102771i | ||||
\(415\) | 7.56097 | + | 7.01556i | 0.371154 | + | 0.344380i | ||||
\(416\) | 1.72623 | − | 2.16463i | 0.0846356 | − | 0.106130i | ||||
\(417\) | −14.0090 | − | 4.64360i | −0.686024 | − | 0.227398i | ||||
\(418\) | 9.95548 | − | 43.6178i | 0.486938 | − | 2.13342i | ||||
\(419\) | 11.7874 | − | 3.63592i | 0.575850 | − | 0.177626i | 0.00686832 | − | 0.999976i | \(-0.497814\pi\) |
0.568982 | + | 0.822350i | \(0.307338\pi\) | |||||||
\(420\) | −1.97980 | − | 10.8456i | −0.0966041 | − | 0.529213i | ||||
\(421\) | −18.2006 | − | 5.61413i | −0.887041 | − | 0.273616i | −0.182438 | − | 0.983217i | \(-0.558399\pi\) |
−0.704603 | + | 0.709602i | \(0.748875\pi\) | |||||||
\(422\) | −5.06996 | + | 8.78143i | −0.246802 | + | 0.427473i | ||||
\(423\) | −3.14854 | − | 17.0461i | −0.153087 | − | 0.828811i | ||||
\(424\) | 1.78896 | − | 1.65991i | 0.0868794 | − | 0.0806123i | ||||
\(425\) | −0.258221 | − | 3.44572i | −0.0125256 | − | 0.167142i | ||||
\(426\) | 17.2371 | + | 5.71361i | 0.835138 | + | 0.276825i | ||||
\(427\) | −9.78925 | − | 7.00887i | −0.473735 | − | 0.339183i | ||||
\(428\) | 5.77184 | − | 14.7064i | 0.278993 | − | 0.710862i | ||||
\(429\) | 23.9174 | − | 15.5854i | 1.15474 | − | 0.752471i | ||||
\(430\) | 7.01794 | + | 8.80022i | 0.338435 | + | 0.424384i | ||||
\(431\) | −0.975358 | − | 13.0153i | −0.0469814 | − | 0.626923i | −0.970147 | − | 0.242519i | \(-0.922026\pi\) |
0.923165 | − | 0.384403i | \(-0.125593\pi\) | |||||||
\(432\) | −4.10165 | − | 3.19005i | −0.197341 | − | 0.153481i | ||||
\(433\) | 22.2945 | − | 10.7365i | 1.07141 | − | 0.515962i | 0.186847 | − | 0.982389i | \(-0.440173\pi\) |
0.884560 | + | 0.466427i | \(0.154459\pi\) | |||||||
\(434\) | −5.79192 | + | 6.93013i | −0.278021 | + | 0.332657i | ||||
\(435\) | 34.2326 | − | 15.6138i | 1.64133 | − | 0.748626i | ||||
\(436\) | −4.52590 | + | 2.17956i | −0.216751 | + | 0.104382i | ||||
\(437\) | −0.920036 | − | 0.853668i | −0.0440113 | − | 0.0408365i | ||||
\(438\) | −0.394177 | + | 1.57473i | −0.0188345 | + | 0.0752433i | ||||
\(439\) | 8.33837 | − | 21.2458i | 0.397969 | − | 1.01401i | −0.581703 | − | 0.813401i | \(-0.697613\pi\) |
0.979672 | − | 0.200607i | \(-0.0642914\pi\) | |||||||
\(440\) | −14.3218 | −0.682764 | ||||||||
\(441\) | −12.0524 | + | 17.1971i | −0.573922 | + | 0.818910i | ||||
\(442\) | −12.1410 | −0.577490 | ||||||||
\(443\) | −13.8921 | + | 35.3965i | −0.660034 | + | 1.68174i | 0.0693113 | + | 0.997595i | \(0.477920\pi\) |
−0.729346 | + | 0.684145i | \(0.760175\pi\) | |||||||
\(444\) | −10.1808 | − | 9.84979i | −0.483160 | − | 0.467450i | ||||
\(445\) | −4.24715 | − | 3.94078i | −0.201334 | − | 0.186811i | ||||
\(446\) | −0.616466 | + | 0.296874i | −0.0291905 | + | 0.0140574i | ||||
\(447\) | 32.0542 | + | 22.8487i | 1.51611 | + | 1.08070i | ||||
\(448\) | 2.35675 | + | 1.20239i | 0.111346 | + | 0.0568077i | ||||
\(449\) | 12.9539 | − | 6.23826i | 0.611331 | − | 0.294402i | −0.102485 | − | 0.994735i | \(-0.532679\pi\) |
0.713816 | + | 0.700333i | \(0.246965\pi\) | |||||||
\(450\) | 2.08515 | + | 1.11367i | 0.0982949 | + | 0.0524988i | ||||
\(451\) | −3.56919 | − | 47.6276i | −0.168067 | − | 2.24269i | ||||
\(452\) | −0.457193 | − | 0.573302i | −0.0215046 | − | 0.0269659i | ||||
\(453\) | −0.449950 | − | 8.33598i | −0.0211405 | − | 0.391658i | ||||
\(454\) | 1.46982 | − | 3.74504i | 0.0689821 | − | 0.175763i | ||||
\(455\) | 16.9550 | − | 4.80637i | 0.794864 | − | 0.225326i | ||||
\(456\) | −2.63106 | − | 12.7485i | −0.123211 | − | 0.597005i | ||||
\(457\) | 1.75945 | + | 23.4783i | 0.0823037 | + | 1.09827i | 0.873539 | + | 0.486755i | \(0.161819\pi\) |
−0.791235 | + | 0.611512i | \(0.790561\pi\) | |||||||
\(458\) | −1.36134 | + | 1.26313i | −0.0636110 | + | 0.0590224i | ||||
\(459\) | 0.277385 | + | 22.7843i | 0.0129472 | + | 1.06348i | ||||
\(460\) | −0.200884 | + | 0.347942i | −0.00936628 | + | 0.0162229i | ||||
\(461\) | −1.07201 | − | 0.330673i | −0.0499287 | − | 0.0154010i | 0.269690 | − | 0.962947i | \(-0.413079\pi\) |
−0.319619 | + | 0.947546i | \(0.603555\pi\) | |||||||
\(462\) | 19.1651 | + | 19.4138i | 0.891643 | + | 0.903210i | ||||
\(463\) | −30.3372 | + | 9.35779i | −1.40989 | + | 0.434893i | −0.903936 | − | 0.427667i | \(-0.859335\pi\) |
−0.505953 | + | 0.862561i | \(0.668859\pi\) | |||||||
\(464\) | −2.00922 | + | 8.80296i | −0.0932756 | + | 0.408667i | ||||
\(465\) | −2.87516 | − | 13.9313i | −0.133332 | − | 0.646047i | ||||
\(466\) | 6.78629 | − | 8.50974i | 0.314369 | − | 0.394206i | ||||
\(467\) | 22.2724 | + | 20.6657i | 1.03064 | + | 0.956296i | 0.999066 | − | 0.0432054i | \(-0.0137570\pi\) |
0.0315758 | + | 0.999501i | \(0.489947\pi\) | |||||||
\(468\) | 4.44961 | − | 7.01359i | 0.205683 | − | 0.324204i | ||||
\(469\) | 36.6654 | + | 12.2388i | 1.69305 | + | 0.565137i | ||||
\(470\) | −13.2836 | − | 4.09745i | −0.612727 | − | 0.189001i | ||||
\(471\) | −23.3455 | + | 28.0525i | −1.07570 | + | 1.29259i | ||||
\(472\) | −0.544556 | + | 0.943198i | −0.0250652 | + | 0.0434142i | ||||
\(473\) | −26.6143 | − | 8.20942i | −1.22373 | − | 0.377470i | ||||
\(474\) | 2.41406 | − | 1.10108i | 0.110881 | − | 0.0505742i | ||||
\(475\) | 2.16355 | + | 5.51263i | 0.0992704 | + | 0.252937i | ||||
\(476\) | −2.32123 | − | 11.3675i | −0.106393 | − | 0.521027i | ||||
\(477\) | 4.79967 | − | 5.52849i | 0.219762 | − | 0.253132i | ||||
\(478\) | −11.8301 | − | 3.64909i | −0.541094 | − | 0.166905i | ||||
\(479\) | 12.8291 | + | 16.0872i | 0.586175 | + | 0.735041i | 0.983152 | − | 0.182788i | \(-0.0585121\pi\) |
−0.396977 | + | 0.917829i | \(0.629941\pi\) | |||||||
\(480\) | −3.79126 | + | 1.72923i | −0.173047 | + | 0.0789284i | ||||
\(481\) | 14.1181 | − | 17.7036i | 0.643732 | − | 0.807214i | ||||
\(482\) | −7.90087 | − | 5.38672i | −0.359875 | − | 0.245358i | ||||
\(483\) | 0.740468 | − | 0.193302i | 0.0336925 | − | 0.00879555i | ||||
\(484\) | 20.1915 | − | 13.7664i | 0.917797 | − | 0.625744i | ||||
\(485\) | 0.925348 | − | 12.3479i | 0.0420179 | − | 0.560690i | ||||
\(486\) | −13.2636 | − | 8.19005i | −0.601649 | − | 0.371508i | ||||
\(487\) | 31.5104 | + | 21.4834i | 1.42787 | + | 0.973506i | 0.997486 | + | 0.0708611i | \(0.0225747\pi\) |
0.430385 | + | 0.902645i | \(0.358378\pi\) | |||||||
\(488\) | −1.66251 | + | 4.23600i | −0.0752582 | + | 0.191755i | ||||
\(489\) | 6.60042 | − | 7.93121i | 0.298481 | − | 0.358662i | ||||
\(490\) | 7.74174 | + | 14.9558i | 0.349736 | + | 0.675634i | ||||
\(491\) | 3.12329 | + | 5.40971i | 0.140952 | + | 0.244137i | 0.927856 | − | 0.372940i | \(-0.121650\pi\) |
−0.786903 | + | 0.617076i | \(0.788317\pi\) | |||||||
\(492\) | −6.69546 | − | 12.1770i | −0.301855 | − | 0.548982i | ||||
\(493\) | 35.6739 | − | 17.1797i | 1.60667 | − | 0.773733i | ||||
\(494\) | 19.8834 | − | 6.13323i | 0.894598 | − | 0.275947i | ||||
\(495\) | −42.7157 | + | 4.62479i | −1.91993 | + | 0.207869i | ||||
\(496\) | 3.07563 | + | 1.48115i | 0.138100 | + | 0.0665054i | ||||
\(497\) | −27.7315 | − | 0.637079i | −1.24393 | − | 0.0285769i | ||||
\(498\) | −7.13999 | + | 2.04018i | −0.319951 | + | 0.0914228i | ||||
\(499\) | −24.3794 | + | 30.5707i | −1.09137 | + | 1.36853i | −0.167480 | + | 0.985875i | \(0.553563\pi\) |
−0.923890 | + | 0.382659i | \(0.875008\pi\) | |||||||
\(500\) | −8.37259 | + | 5.70834i | −0.374434 | + | 0.255285i | ||||
\(501\) | −17.5016 | + | 28.9031i | −0.781914 | + | 1.29129i | ||||
\(502\) | 7.69253 | − | 7.13763i | 0.343334 | − | 0.318568i | ||||
\(503\) | −7.50638 | − | 9.41271i | −0.334693 | − | 0.419692i | 0.585797 | − | 0.810458i | \(-0.300782\pi\) |
−0.920490 | + | 0.390766i | \(0.872210\pi\) | |||||||
\(504\) | 7.41744 | + | 2.82518i | 0.330399 | + | 0.125844i | ||||
\(505\) | 5.77928 | − | 7.24699i | 0.257175 | − | 0.322487i | ||||
\(506\) | −0.0742920 | − | 0.991358i | −0.00330268 | − | 0.0440712i | ||||
\(507\) | −8.23911 | − | 4.18181i | −0.365912 | − | 0.185721i | ||||
\(508\) | −10.0021 | + | 17.3242i | −0.443773 | + | 0.768638i | ||||
\(509\) | 0.398715 | 0.0176727 | 0.00883637 | − | 0.999961i | \(-0.497187\pi\) | ||||
0.00883637 | + | 0.999961i | \(0.497187\pi\) | |||||||
\(510\) | 16.2943 | + | 8.27027i | 0.721524 | + | 0.366214i | ||||
\(511\) | −0.128464 | − | 2.47632i | −0.00568293 | − | 0.109546i | ||||
\(512\) | 0.222521 | − | 0.974928i | 0.00983413 | − | 0.0430861i | ||||
\(513\) | −11.9641 | − | 37.1738i | −0.528228 | − | 1.64126i | ||||
\(514\) | −8.76748 | − | 1.32149i | −0.386717 | − | 0.0582882i | ||||
\(515\) | 11.2705 | − | 14.1328i | 0.496640 | − | 0.622766i | ||||
\(516\) | −8.03655 | + | 1.04025i | −0.353789 | + | 0.0457945i | ||||
\(517\) | 32.8690 | − | 10.1388i | 1.44558 | − | 0.445902i | ||||
\(518\) | 19.2748 | + | 9.83386i | 0.846887 | + | 0.432075i | ||||
\(519\) | 4.17559 | − | 2.72096i | 0.183288 | − | 0.119437i | ||||
\(520\) | −3.33046 | − | 5.76852i | −0.146050 | − | 0.252966i | ||||
\(521\) | 13.9527 | + | 24.1667i | 0.611278 | + | 1.05876i | 0.991025 | + | 0.133674i | \(0.0426776\pi\) |
−0.379747 | + | 0.925090i | \(0.623989\pi\) | |||||||
\(522\) | −3.14998 | + | 26.9042i | −0.137871 | + | 1.17757i | ||||
\(523\) | −30.0517 | + | 20.4889i | −1.31407 | + | 0.895918i | −0.998594 | − | 0.0530154i | \(-0.983117\pi\) |
−0.315477 | + | 0.948933i | \(0.602164\pi\) | |||||||
\(524\) | −5.89553 | − | 15.0216i | −0.257547 | − | 0.656220i | ||||
\(525\) | −3.54359 | − | 0.694167i | −0.154655 | − | 0.0302959i | ||||
\(526\) | 3.83247 | − | 9.76498i | 0.167104 | − | 0.425773i | ||||
\(527\) | −3.33104 | − | 14.5943i | −0.145103 | − | 0.635736i | ||||
\(528\) | 5.34070 | − | 8.81990i | 0.232424 | − | 0.383837i | ||||
\(529\) | 20.6972 | + | 9.96723i | 0.899876 | + | 0.433358i | ||||
\(530\) | −2.14500 | − | 5.46537i | −0.0931728 | − | 0.237400i | ||||
\(531\) | −1.31960 | + | 2.98900i | −0.0572657 | + | 0.129712i | ||||
\(532\) | 9.54394 | + | 17.4439i | 0.413782 | + | 0.756291i | ||||
\(533\) | 18.3534 | − | 12.5131i | 0.794974 | − | 0.542004i | ||||
\(534\) | 4.01067 | − | 1.14601i | 0.173559 | − | 0.0495928i | ||||
\(535\) | −27.8621 | − | 25.8523i | −1.20458 | − | 1.11769i | ||||
\(536\) | 1.09180 | − | 14.5690i | 0.0471585 | − | 0.629287i | ||||
\(537\) | −7.09479 | + | 11.7167i | −0.306163 | + | 0.505613i | ||||
\(538\) | −5.46463 | + | 9.46501i | −0.235597 | + | 0.408066i | ||||
\(539\) | −36.6742 | − | 19.7853i | −1.57967 | − | 0.852214i | ||||
\(540\) | −10.7493 | + | 6.38183i | −0.462576 | + | 0.274630i | ||||
\(541\) | −28.0428 | + | 4.22677i | −1.20565 | + | 0.181723i | −0.720969 | − | 0.692967i | \(-0.756303\pi\) |
−0.484683 | + | 0.874690i | \(0.661065\pi\) | |||||||
\(542\) | −7.77361 | + | 3.74357i | −0.333905 | + | 0.160800i | ||||
\(543\) | 17.2004 | − | 41.2712i | 0.738139 | − | 1.77112i | ||||
\(544\) | −3.95089 | + | 1.90265i | −0.169393 | + | 0.0815754i | ||||
\(545\) | 0.903138 | + | 12.0515i | 0.0386862 | + | 0.516231i | ||||
\(546\) | −3.36271 | + | 12.2339i | −0.143911 | + | 0.523562i | ||||
\(547\) | 1.19953 | − | 16.0066i | 0.0512883 | − | 0.684395i | −0.911008 | − | 0.412390i | \(-0.864694\pi\) |
0.962296 | − | 0.272005i | \(-0.0876867\pi\) | |||||||
\(548\) | 4.64484 | + | 11.8349i | 0.198418 | + | 0.505560i | ||||
\(549\) | −3.59066 | + | 13.1710i | −0.153246 | + | 0.562126i | ||||
\(550\) | −1.71373 | + | 4.36652i | −0.0730739 | + | 0.186189i | ||||
\(551\) | −49.7448 | + | 46.1565i | −2.11920 | + | 1.96633i | ||||
\(552\) | −0.139365 | − | 0.253462i | −0.00593175 | − | 0.0107881i | ||||
\(553\) | −3.03359 | + | 2.68778i | −0.129001 | + | 0.114296i | ||||
\(554\) | 2.45239 | + | 0.369638i | 0.104192 | + | 0.0157044i | ||||
\(555\) | −31.0071 | + | 14.1427i | −1.31618 | + | 0.600323i | ||||
\(556\) | −1.89607 | − | 8.30723i | −0.0804113 | − | 0.352305i | ||||
\(557\) | 3.75505 | + | 6.50393i | 0.159106 | + | 0.275580i | 0.934547 | − | 0.355840i | \(-0.115805\pi\) |
−0.775440 | + | 0.631421i | \(0.782472\pi\) | |||||||
\(558\) | 9.65157 | + | 3.42444i | 0.408584 | + | 0.144968i | ||||
\(559\) | −2.88243 | − | 12.6287i | −0.121914 | − | 0.534139i | ||||
\(560\) | 4.76423 | − | 4.22113i | 0.201325 | − | 0.178375i | ||||
\(561\) | −44.8406 | + | 5.80417i | −1.89317 | + | 0.245052i | ||||
\(562\) | −5.41432 | + | 23.7217i | −0.228389 | + | 1.00064i | ||||
\(563\) | 4.19675 | + | 10.6932i | 0.176872 | + | 0.450663i | 0.991626 | − | 0.129145i | \(-0.0412231\pi\) |
−0.814754 | + | 0.579807i | \(0.803128\pi\) | |||||||
\(564\) | 7.47692 | − | 6.65259i | 0.314835 | − | 0.280124i | ||||
\(565\) | −1.68577 | + | 0.519990i | −0.0709207 | + | 0.0218761i | ||||
\(566\) | −0.528835 | + | 2.31698i | −0.0222286 | + | 0.0973899i | ||||
\(567\) | 23.0353 | + | 6.03106i | 0.967393 | + | 0.253281i | ||||
\(568\) | 2.33298 | + | 10.2214i | 0.0978895 | + | 0.428882i | ||||
\(569\) | −21.2513 | − | 36.8083i | −0.890900 | − | 1.54308i | −0.838798 | − | 0.544443i | \(-0.816741\pi\) |
−0.0521025 | − | 0.998642i | \(-0.516592\pi\) | |||||||
\(570\) | −30.8631 | − | 5.31296i | −1.29271 | − | 0.222535i | ||||
\(571\) | 20.1096 | + | 6.20299i | 0.841560 | + | 0.259587i | 0.685420 | − | 0.728148i | \(-0.259619\pi\) |
0.156140 | + | 0.987735i | \(0.450095\pi\) | |||||||
\(572\) | 14.8496 | + | 7.15118i | 0.620892 | + | 0.299006i | ||||
\(573\) | −7.19200 | − | 2.38395i | −0.300450 | − | 0.0995909i | ||||
\(574\) | 15.2248 | + | 14.7916i | 0.635472 | + | 0.617390i | ||||
\(575\) | 0.0820452 | + | 0.102881i | 0.00342152 | + | 0.00429045i | ||||
\(576\) | 0.348860 | − | 2.97965i | 0.0145359 | − | 0.124152i | ||||
\(577\) | −8.96360 | + | 22.8389i | −0.373160 | + | 0.950795i | 0.613747 | + | 0.789503i | \(0.289662\pi\) |
−0.986907 | + | 0.161293i | \(0.948434\pi\) | |||||||
\(578\) | 2.00881 | + | 0.967393i | 0.0835556 | + | 0.0402383i | ||||
\(579\) | −2.84694 | − | 13.7946i | −0.118315 | − | 0.573282i | ||||
\(580\) | 17.9484 | + | 12.2370i | 0.745265 | + | 0.508113i | ||||
\(581\) | 9.51633 | − | 6.17282i | 0.394804 | − | 0.256092i | ||||
\(582\) | 7.25925 | + | 5.17449i | 0.300905 | + | 0.214489i | ||||
\(583\) | 12.0034 | + | 8.18379i | 0.497131 | + | 0.338938i | ||||
\(584\) | −0.895580 | + | 0.276250i | −0.0370594 | + | 0.0114313i | ||||
\(585\) | −11.7961 | − | 16.1295i | −0.487708 | − | 0.666874i | ||||
\(586\) | 23.9256 | − | 3.60620i | 0.988357 | − | 0.148971i | ||||
\(587\) | −7.53676 | + | 13.0541i | −0.311076 | + | 0.538799i | −0.978595 | − | 0.205793i | \(-0.934023\pi\) |
0.667520 | + | 0.744592i | \(0.267356\pi\) | |||||||
\(588\) | −12.0973 | − | 0.809467i | −0.498884 | − | 0.0333819i | ||||
\(589\) | 12.8278 | + | 22.2184i | 0.528560 | + | 0.915492i | ||||
\(590\) | 1.63367 | + | 2.04856i | 0.0672572 | + | 0.0843379i | ||||
\(591\) | 19.2157 | − | 5.49070i | 0.790427 | − | 0.225857i | ||||
\(592\) | 1.81990 | − | 7.97352i | 0.0747976 | − | 0.327710i | ||||
\(593\) | −2.87922 | + | 38.4205i | −0.118235 | + | 1.57774i | 0.550883 | + | 0.834583i | \(0.314291\pi\) |
−0.669118 | + | 0.743156i | \(0.733328\pi\) | |||||||
\(594\) | 13.0809 | − | 28.0306i | 0.536715 | − | 1.15011i | ||||
\(595\) | −27.4978 | − | 4.79294i | −1.12730 | − | 0.196491i | ||||
\(596\) | −1.69838 | + | 22.6633i | −0.0695684 | + | 0.928326i | ||||
\(597\) | −21.4437 | − | 7.10799i | −0.877632 | − | 0.290911i | ||||
\(598\) | 0.382022 | − | 0.260458i | 0.0156221 | − | 0.0106509i | ||||
\(599\) | −22.1359 | + | 3.33645i | −0.904448 | + | 0.136324i | −0.584767 | − | 0.811202i | \(-0.698814\pi\) |
−0.319681 | + | 0.947525i | \(0.603576\pi\) | |||||||
\(600\) | 0.0735609 | + | 1.36282i | 0.00300311 | + | 0.0556371i | ||||
\(601\) | 8.03435 | − | 1.21098i | 0.327728 | − | 0.0493970i | 0.0168824 | − | 0.999857i | \(-0.494626\pi\) |
0.310846 | + | 0.950460i | \(0.399388\pi\) | |||||||
\(602\) | 11.2730 | − | 5.11325i | 0.459453 | − | 0.208400i | ||||
\(603\) | −1.44827 | − | 43.8058i | −0.0589781 | − | 1.78391i | ||||
\(604\) | 3.98229 | − | 2.71508i | 0.162037 | − | 0.110475i | ||||
\(605\) | −13.0827 | − | 57.3191i | −0.531888 | − | 2.33035i | ||||
\(606\) | 2.30784 | + | 6.26155i | 0.0937495 | + | 0.254358i | ||||
\(607\) | 32.1582 | 1.30526 | 0.652632 | − | 0.757675i | \(-0.273665\pi\) | ||||
0.652632 | + | 0.757675i | \(0.273665\pi\) | |||||||
\(608\) | 5.50924 | − | 5.11183i | 0.223429 | − | 0.207312i | ||||
\(609\) | −7.43042 | − | 40.7050i | −0.301096 | − | 1.64945i | ||||
\(610\) | 8.02534 | + | 7.44643i | 0.324936 | + | 0.301497i | ||||
\(611\) | 11.7272 | + | 10.8813i | 0.474432 | + | 0.440208i | ||||
\(612\) | −11.1694 | + | 6.95061i | −0.451496 | + | 0.280962i | ||||
\(613\) | 7.37782 | + | 1.11203i | 0.297987 | + | 0.0449144i | 0.296334 | − | 0.955084i | \(-0.404236\pi\) |
0.00165297 | + | 0.999999i | \(0.499474\pi\) | |||||||
\(614\) | 11.5075 | − | 3.54958i | 0.464403 | − | 0.143249i | ||||
\(615\) | −33.1555 | + | 4.29166i | −1.33696 | + | 0.173056i | ||||
\(616\) | −3.85646 | + | 15.2707i | −0.155381 | + | 0.615272i | ||||
\(617\) | −15.8362 | + | 14.6938i | −0.637541 | + | 0.591552i | −0.931267 | − | 0.364338i | \(-0.881295\pi\) |
0.293726 | + | 0.955890i | \(0.405105\pi\) | |||||||
\(618\) | 4.50066 | + | 12.2111i | 0.181043 | + | 0.491201i | ||||
\(619\) | −26.6868 | −1.07263 | −0.536317 | − | 0.844017i | \(-0.680185\pi\) | ||||
−0.536317 | + | 0.844017i | \(0.680185\pi\) | |||||||
\(620\) | 6.02036 | − | 5.58608i | 0.241783 | − | 0.224342i | ||||
\(621\) | −0.497513 | − | 0.710965i | −0.0199645 | − | 0.0285300i | ||||
\(622\) | 15.2011 | − | 19.0616i | 0.609510 | − | 0.764302i | ||||
\(623\) | −5.34551 | + | 3.46739i | −0.214163 | + | 0.138918i | ||||
\(624\) | 4.79442 | + | 0.100100i | 0.191931 | + | 0.00400720i | ||||
\(625\) | 6.30156 | + | 27.6089i | 0.252062 | + | 1.10436i | ||||
\(626\) | −4.66077 | + | 0.702498i | −0.186282 | + | 0.0280775i | ||||
\(627\) | 70.5037 | − | 32.1575i | 2.81565 | − | 1.28425i | ||||
\(628\) | −20.8356 | − | 3.14046i | −0.831432 | − | 0.125318i | ||||
\(629\) | −32.3127 | + | 15.5610i | −1.28839 | + | 0.620456i | ||||
\(630\) | 12.8466 | − | 14.1283i | 0.511819 | − | 0.562884i | ||||
\(631\) | −0.134199 | − | 0.0646267i | −0.00534237 | − | 0.00257275i | 0.431211 | − | 0.902251i | \(-0.358087\pi\) |
−0.436553 | + | 0.899679i | \(0.643801\pi\) | |||||||
\(632\) | 1.26571 | + | 0.862944i | 0.0503471 | + | 0.0343261i | ||||
\(633\) | −17.4175 | + | 2.25453i | −0.692285 | + | 0.0896094i | ||||
\(634\) | −0.185008 | + | 2.46877i | −0.00734762 | + | 0.0980472i | ||||
\(635\) | 30.0065 | + | 37.6270i | 1.19077 | + | 1.49318i | ||||
\(636\) | 4.16567 | + | 0.717102i | 0.165179 | + | 0.0284349i | ||||
\(637\) | −0.559281 | − | 19.3726i | −0.0221595 | − | 0.767570i | ||||
\(638\) | −53.7514 | −2.12804 | ||||||||
\(639\) | 10.2590 | + | 29.7328i | 0.405839 | + | 1.17621i | ||||
\(640\) | −1.98778 | − | 1.35525i | −0.0785740 | − | 0.0535708i | ||||
\(641\) | −7.42345 | + | 32.5242i | −0.293208 | + | 1.28463i | 0.586823 | + | 0.809715i | \(0.300378\pi\) |
−0.880032 | + | 0.474915i | \(0.842479\pi\) | |||||||
\(642\) | 26.3108 | − | 7.51806i | 1.03840 | − | 0.296714i | ||||
\(643\) | −1.70014 | − | 22.6868i | −0.0670469 | − | 0.894679i | −0.924760 | − | 0.380550i | \(-0.875735\pi\) |
0.857713 | − | 0.514128i | \(-0.171885\pi\) | |||||||
\(644\) | 0.316902 | + | 0.307885i | 0.0124877 | + | 0.0121324i | ||||
\(645\) | −4.73403 | + | 18.9123i | −0.186402 | + | 0.744671i | ||||
\(646\) | −32.5885 | − | 4.91193i | −1.28218 | − | 0.193257i | ||||
\(647\) | 1.14421 | + | 15.2684i | 0.0449835 | + | 0.600264i | 0.973458 | + | 0.228867i | \(0.0735020\pi\) |
−0.928474 | + | 0.371397i | \(0.878879\pi\) | |||||||
\(648\) | 0.0783128 | − | 8.99966i | 0.00307642 | − | 0.353540i | ||||
\(649\) | −6.19541 | − | 1.91103i | −0.243191 | − | 0.0750145i | ||||
\(650\) | −2.15726 | + | 0.325155i | −0.0846149 | + | 0.0127536i | ||||
\(651\) | −15.6285 | − | 0.685660i | −0.612528 | − | 0.0268731i | ||||
\(652\) | 5.89080 | + | 0.887895i | 0.230702 | + | 0.0347727i | ||||
\(653\) | 39.4068 | + | 18.9773i | 1.54211 | + | 0.742641i | 0.995501 | − | 0.0947480i | \(-0.0302045\pi\) |
0.546608 | + | 0.837389i | \(0.315919\pi\) | |||||||
\(654\) | −7.75858 | − | 3.93792i | −0.303385 | − | 0.153985i | ||||
\(655\) | −38.8228 | −1.51693 | ||||||||
\(656\) | 4.01153 | − | 6.94818i | 0.156624 | − | 0.271281i | ||||
\(657\) | −2.58192 | + | 1.11314i | −0.100730 | + | 0.0434276i | ||||
\(658\) | −7.94583 | + | 13.0604i | −0.309761 | + | 0.509146i | ||||
\(659\) | 29.6234 | + | 27.4865i | 1.15396 | + | 1.07072i | 0.996534 | + | 0.0831900i | \(0.0265108\pi\) |
0.157428 | + | 0.987530i | \(0.449680\pi\) | |||||||
\(660\) | −15.0581 | − | 19.7128i | −0.586137 | − | 0.767319i | ||||
\(661\) | 5.81531 | + | 14.8172i | 0.226189 | + | 0.576321i | 0.998244 | − | 0.0592351i | \(-0.0188662\pi\) |
−0.772055 | + | 0.635556i | \(0.780771\pi\) | |||||||
\(662\) | 12.2128 | + | 31.1178i | 0.474665 | + | 1.20943i | ||||
\(663\) | −12.7653 | − | 16.7111i | −0.495761 | − | 0.649007i | ||||
\(664\) | −3.14278 | − | 2.91608i | −0.121964 | − | 0.113166i | ||||
\(665\) | 47.4546 | − | 6.04153i | 1.84021 | − | 0.234280i | ||||
\(666\) | 2.85318 | − | 24.3693i | 0.110559 | − | 0.944290i | ||||
\(667\) | −0.753943 | + | 1.30587i | −0.0291928 | + | 0.0505634i | ||||
\(668\) | −19.5081 | −0.754790 | ||||||||
\(669\) | −1.05678 | − | 0.536377i | −0.0408576 | − | 0.0207375i | ||||
\(670\) | −31.6680 | − | 15.2505i | −1.22344 | − | 0.589178i | ||||
\(671\) | −26.7868 | − | 4.03747i | −1.03409 | − | 0.155865i | ||||
\(672\) | 0.822919 | + | 4.50808i | 0.0317448 | + | 0.173903i | ||||
\(673\) | 28.9929 | − | 4.36997i | 1.11759 | − | 0.168450i | 0.435834 | − | 0.900027i | \(-0.356453\pi\) |
0.681759 | + | 0.731577i | \(0.261215\pi\) | |||||||
\(674\) | 10.0381 | + | 3.09633i | 0.386652 | + | 0.119266i | ||||
\(675\) | 0.659484 | + | 4.04096i | 0.0253835 | + | 0.155537i | ||||
\(676\) | −0.398647 | − | 5.31958i | −0.0153326 | − | 0.204599i | ||||
\(677\) | 23.4923 | + | 3.54089i | 0.902881 | + | 0.136087i | 0.584044 | − | 0.811722i | \(-0.301470\pi\) |
0.318837 | + | 0.947810i | \(0.396708\pi\) | |||||||
\(678\) | 0.308404 | − | 1.23207i | 0.0118442 | − | 0.0473172i | ||||
\(679\) | −12.9168 | − | 4.31161i | −0.495703 | − | 0.165464i | ||||
\(680\) | 0.788395 | + | 10.5204i | 0.0302336 | + | 0.403439i | ||||
\(681\) | 6.70013 | − | 1.91450i | 0.256750 | − | 0.0733638i | ||||
\(682\) | −4.52199 | + | 19.8121i | −0.173156 | + | 0.758645i | ||||
\(683\) | 0.388186 | + | 0.264661i | 0.0148535 | + | 0.0101270i | 0.570724 | − | 0.821142i | \(-0.306663\pi\) |
−0.555871 | + | 0.831269i | \(0.687615\pi\) | |||||||
\(684\) | 14.7810 | − | 17.0254i | 0.565165 | − | 0.650984i | ||||
\(685\) | 30.5869 | 1.16867 | ||||||||
\(686\) | 18.0313 | − | 4.22747i | 0.688439 | − | 0.161406i | ||||
\(687\) | −3.16993 | − | 0.545690i | −0.120940 | − | 0.0208194i | ||||
\(688\) | −2.91707 | − | 3.65789i | −0.111212 | − | 0.139456i | ||||
\(689\) | −0.504930 | + | 6.73782i | −0.0192363 | + | 0.256691i | ||||
\(690\) | −0.690126 | + | 0.0893299i | −0.0262726 | + | 0.00340073i | ||||
\(691\) | −7.41783 | − | 5.05739i | −0.282187 | − | 0.192392i | 0.413952 | − | 0.910299i | \(-0.364148\pi\) |
−0.696139 | + | 0.717907i | \(0.745100\pi\) | |||||||
\(692\) | 2.59249 | + | 1.24848i | 0.0985518 | + | 0.0474600i | ||||
\(693\) | −6.57097 | + | 46.7911i | −0.249611 | + | 1.77745i | ||||
\(694\) | −13.7346 | + | 6.61423i | −0.521358 | + | 0.251073i | ||||
\(695\) | −20.2707 | − | 3.05532i | −0.768912 | − | 0.115895i | ||||
\(696\) | −14.2291 | + | 6.49003i | −0.539352 | + | 0.246004i | ||||
\(697\) | −34.7895 | + | 5.24367i | −1.31774 | + | 0.198618i | ||||
\(698\) | −5.90822 | − | 25.8856i | −0.223629 | − | 0.979784i | ||||
\(699\) | 18.8482 | + | 0.393519i | 0.712903 | + | 0.0148843i | ||||
\(700\) | −0.716883 | − | 1.95765i | −0.0270956 | − | 0.0739921i | ||||
\(701\) | −9.06919 | + | 11.3724i | −0.342539 | + | 0.429530i | −0.923025 | − | 0.384740i | \(-0.874291\pi\) |
0.580486 | + | 0.814270i | \(0.302862\pi\) | |||||||
\(702\) | 14.3320 | − | 1.24966i | 0.540928 | − | 0.0471654i | ||||
\(703\) | 45.0578 | − | 41.8075i | 1.69939 | − | 1.57680i | ||||
\(704\) | 5.95297 | 0.224361 | ||||||||
\(705\) | −8.32677 | − | 22.5919i | −0.313604 | − | 0.850861i | ||||
\(706\) | −20.4085 | + | 18.9363i | −0.768083 | + | 0.712677i | ||||
\(707\) | −6.17093 | − | 8.11359i | −0.232082 | − | 0.305143i | ||||
\(708\) | −1.87079 | + | 0.242155i | −0.0703086 | + | 0.00910074i | ||||
\(709\) | −10.0554 | + | 3.10167i | −0.377637 | + | 0.116486i | −0.477762 | − | 0.878489i | \(-0.658552\pi\) |
0.100125 | + | 0.994975i | \(0.468076\pi\) | |||||||
\(710\) | 24.9416 | + | 3.75934i | 0.936042 | + | 0.141086i | ||||
\(711\) | 4.05372 | + | 2.16507i | 0.152026 | + | 0.0811964i | ||||
\(712\) | 1.76536 | + | 1.63802i | 0.0661598 | + | 0.0613873i | ||||
\(713\) | 0.417899 | + | 0.387754i | 0.0156505 | + | 0.0145215i | ||||
\(714\) | 13.2058 | − | 15.1469i | 0.494215 | − | 0.566858i | ||||
\(715\) | 29.0671 | − | 26.9704i | 1.08705 | − | 1.00863i | ||||
\(716\) | −7.90817 | −0.295542 | ||||||||
\(717\) | −7.41561 | − | 20.1198i | −0.276941 | − | 0.751388i | ||||
\(718\) | 4.37137 | + | 19.1522i | 0.163138 | + | 0.714754i | ||||
\(719\) | 27.6596 | − | 18.8580i | 1.03153 | − | 0.703283i | 0.0756754 | − | 0.997133i | \(-0.475889\pi\) |
0.955852 | + | 0.293849i | \(0.0949363\pi\) | |||||||
\(720\) | −6.36634 | − | 3.40022i | −0.237259 | − | 0.126719i | ||||
\(721\) | −12.0343 | − | 15.8228i | −0.448182 | − | 0.589273i | ||||
\(722\) | 37.0639 | − | 5.58649i | 1.37938 | − | 0.207908i | ||||
\(723\) | −0.892699 | − | 16.5386i | −0.0331999 | − | 0.615076i | ||||
\(724\) | 25.5262 | − | 3.84745i | 0.948673 | − | 0.142989i | ||||
\(725\) | 5.87858 | − | 4.00795i | 0.218325 | − | 0.148851i | ||||
\(726\) | 40.1780 | + | 13.3179i | 1.49114 | + | 0.494273i | ||||
\(727\) | 1.97248 | − | 26.3209i | 0.0731552 | − | 0.976188i | −0.833008 | − | 0.553261i | \(-0.813383\pi\) |
0.906163 | − | 0.422928i | \(-0.138998\pi\) | |||||||
\(728\) | −7.04750 | + | 1.99781i | −0.261198 | + | 0.0740437i | ||||
\(729\) | −2.67260 | − | 26.8674i | −0.0989851 | − | 0.995089i | ||||
\(730\) | −0.168500 | + | 2.24847i | −0.00623646 | + | 0.0832198i | ||||
\(731\) | −4.56534 | + | 20.0021i | −0.168855 | + | 0.739803i | ||||
\(732\) | −7.57850 | + | 2.16548i | −0.280109 | + | 0.0800386i | ||||
\(733\) | 16.0362 | + | 20.1087i | 0.592309 | + | 0.742732i | 0.984157 | − | 0.177298i | \(-0.0567355\pi\) |
−0.391848 | + | 0.920030i | \(0.628164\pi\) | |||||||
\(734\) | −2.79053 | − | 4.83333i | −0.103000 | − | 0.178402i | ||||
\(735\) | −12.4457 | + | 26.3806i | −0.459066 | + | 0.973064i | ||||
\(736\) | 0.0834993 | − | 0.144625i | 0.00307782 | − | 0.00533095i | ||||
\(737\) | 86.0009 | − | 12.9626i | 3.16789 | − | 0.477482i | ||||
\(738\) | 9.72097 | − | 22.0188i | 0.357834 | − | 0.810525i | ||||
\(739\) | −5.64965 | + | 1.74268i | −0.207826 | + | 0.0641057i | −0.396920 | − | 0.917853i | \(-0.629921\pi\) |
0.189094 | + | 0.981959i | \(0.439445\pi\) | |||||||
\(740\) | −16.2572 | − | 11.0840i | −0.597627 | − | 0.407456i | ||||
\(741\) | 29.3476 | + | 20.9194i | 1.07811 | + | 0.768493i | ||||
\(742\) | −6.40506 | + | 0.815439i | −0.235137 | + | 0.0299357i | ||||
\(743\) | −14.2746 | − | 9.73226i | −0.523685 | − | 0.357042i | 0.272442 | − | 0.962172i | \(-0.412169\pi\) |
−0.796127 | + | 0.605130i | \(0.793121\pi\) | |||||||
\(744\) | 1.19508 | + | 5.79065i | 0.0438139 | + | 0.212296i | ||||
\(745\) | 49.2621 | + | 23.7234i | 1.80482 | + | 0.869157i | ||||
\(746\) | 9.63440 | − | 24.5480i | 0.352740 | − | 0.898768i | ||||
\(747\) | −10.3152 | − | 7.68254i | −0.377415 | − | 0.281089i | ||||
\(748\) | −16.2760 | − | 20.4095i | −0.595111 | − | 0.746245i | ||||
\(749\) | −35.0676 | + | 22.7468i | −1.28134 | + | 0.831149i | ||||
\(750\) | −16.6601 | − | 5.52237i | −0.608342 | − | 0.201648i | ||||
\(751\) | −15.8856 | − | 7.65011i | −0.579674 | − | 0.279156i | 0.120983 | − | 0.992655i | \(-0.461395\pi\) |
−0.700657 | + | 0.713498i | \(0.747110\pi\) | |||||||
\(752\) | 5.52145 | + | 1.70314i | 0.201346 | + | 0.0621072i | ||||
\(753\) | 17.9124 | + | 3.08354i | 0.652764 | + | 0.112371i | ||||
\(754\) | −12.4996 | − | 21.6500i | −0.455209 | − | 0.788445i | ||||
\(755\) | −2.58025 | − | 11.3048i | −0.0939049 | − | 0.411424i | ||||
\(756\) | 3.91016 | + | 13.1799i | 0.142211 | + | 0.479350i | ||||
\(757\) | −10.2795 | + | 45.0376i | −0.373616 | + | 1.63692i | 0.342916 | + | 0.939366i | \(0.388585\pi\) |
−0.716532 | + | 0.697554i | \(0.754272\pi\) | |||||||
\(758\) | −3.81317 | + | 1.17621i | −0.138500 | + | 0.0427217i | ||||
\(759\) | 1.28641 | − | 1.14458i | 0.0466938 | − | 0.0415458i | ||||
\(760\) | −6.60570 | − | 16.8311i | −0.239614 | − | 0.610527i | ||||
\(761\) | 5.93408 | − | 25.9989i | 0.215110 | − | 0.942459i | −0.745924 | − | 0.666031i | \(-0.767992\pi\) |
0.961034 | − | 0.276429i | \(-0.0891509\pi\) | |||||||
\(762\) | −34.3618 | + | 4.44779i | −1.24480 | + | 0.161126i | ||||
\(763\) | 13.0932 | + | 2.28217i | 0.474005 | + | 0.0826202i | ||||
\(764\) | −0.973412 | − | 4.26480i | −0.0352168 | − | 0.154295i | ||||
\(765\) | 5.74869 | + | 31.1233i | 0.207844 | + | 1.12526i | ||||
\(766\) | −14.0295 | − | 24.2998i | −0.506907 | − | 0.877988i | ||||
\(767\) | −0.670986 | − | 2.93978i | −0.0242279 | − | 0.106149i | ||||
\(768\) | 1.57587 | − | 0.718771i | 0.0568643 | − | 0.0259364i | ||||
\(769\) | 24.9248 | + | 3.75681i | 0.898810 | + | 0.135474i | 0.582165 | − | 0.813070i | \(-0.302206\pi\) |
0.316645 | + | 0.948544i | \(0.397444\pi\) | |||||||
\(770\) | 30.8093 | + | 22.0587i | 1.11029 | + | 0.794940i | ||||
\(771\) | −7.39934 | − | 13.4572i | −0.266481 | − | 0.484648i | ||||
\(772\) | 5.96128 | − | 5.53126i | 0.214551 | − | 0.199074i | ||||
\(773\) | −3.18375 | + | 8.11208i | −0.114512 | + | 0.291771i | −0.976627 | − | 0.214941i | \(-0.931044\pi\) |
0.862115 | + | 0.506712i | \(0.169139\pi\) | |||||||
\(774\) | −9.88156 | − | 9.96793i | −0.355185 | − | 0.358290i | ||||
\(775\) | −0.982729 | − | 2.50395i | −0.0353007 | − | 0.0899446i | ||||
\(776\) | −0.384629 | + | 5.13252i | −0.0138074 | + | 0.184247i | ||||
\(777\) | 6.73030 | + | 36.8697i | 0.241448 | + | 1.32269i | ||||
\(778\) | 1.55667 | + | 20.7723i | 0.0558093 | + | 0.744723i | ||||
\(779\) | 54.3260 | − | 26.1620i | 1.94643 | − | 0.937351i | ||||
\(780\) | 4.43821 | − | 10.6492i | 0.158913 | − | 0.381303i | ||||
\(781\) | −56.2320 | + | 27.0799i | −2.01214 | + | 0.968995i | ||||
\(782\) | −0.724136 | + | 0.109146i | −0.0258950 | + | 0.00390305i | ||||
\(783\) | −40.3434 | + | 23.9518i | −1.44176 | + | 0.855968i | ||||
\(784\) | −3.21792 | − | 6.21651i | −0.114926 | − | 0.222018i | ||||
\(785\) | −25.3465 | + | 43.9014i | −0.904655 | + | 1.56691i | ||||
\(786\) | 14.4773 | − | 23.9086i | 0.516389 | − | 0.852791i | ||||
\(787\) | 0.634709 | − | 8.46960i | 0.0226249 | − | 0.301909i | −0.974400 | − | 0.224823i | \(-0.927820\pi\) |
0.997024 | − | 0.0770854i | \(-0.0245614\pi\) | |||||||
\(788\) | 8.45810 | + | 7.84797i | 0.301307 | + | 0.279572i | ||||
\(789\) | 17.4702 | − | 4.99195i | 0.621956 | − | 0.177718i | ||||
\(790\) | 3.04506 | − | 2.07609i | 0.108338 | − | 0.0738639i | ||||
\(791\) | 0.100511 | + | 1.93747i | 0.00357375 | + | 0.0688886i | ||||
\(792\) | 17.7552 | − | 1.92233i | 0.630902 | − | 0.0683072i | ||||
\(793\) | −4.60293 | − | 11.7281i | −0.163455 | − | 0.416476i | ||||
\(794\) | 23.1626 | + | 11.1545i | 0.822010 | + | 0.395859i | ||||
\(795\) | 5.26735 | − | 8.69878i | 0.186814 | − | 0.308514i | ||||
\(796\) | −2.90233 | − | 12.7159i | −0.102870 | − | 0.450705i | ||||
\(797\) | −1.02684 | + | 2.61634i | −0.0363725 | + | 0.0926757i | −0.947906 | − | 0.318550i | \(-0.896804\pi\) |
0.911533 | + | 0.411226i | \(0.134899\pi\) | |||||||
\(798\) | −13.9755 | + | 31.4773i | −0.494729 | + | 1.11428i | ||||
\(799\) | −9.25706 | − | 23.5866i | −0.327491 | − | 0.834434i | ||||
\(800\) | −0.651053 | + | 0.443881i | −0.0230182 | + | 0.0156936i | ||||
\(801\) | 5.79427 | + | 4.31543i | 0.204730 | + | 0.152478i | ||||
\(802\) | 6.17288 | + | 10.6917i | 0.217972 | + | 0.377538i | ||||
\(803\) | −2.78962 | − | 4.83176i | −0.0984435 | − | 0.170509i | ||||
\(804\) | 21.2010 | − | 13.8153i | 0.747703 | − | 0.487229i | ||||
\(805\) | 0.968051 | − | 0.439092i | 0.0341193 | − | 0.0154760i | ||||
\(806\) | −9.03147 | + | 2.78584i | −0.318120 | + | 0.0981270i | ||||
\(807\) | −18.7734 | + | 2.43003i | −0.660855 | + | 0.0855411i | ||||
\(808\) | −2.40221 | + | 3.01227i | −0.0845094 | + | 0.105971i | ||||
\(809\) | −35.2701 | − | 5.31612i | −1.24003 | − | 0.186905i | −0.503912 | − | 0.863755i | \(-0.668106\pi\) |
−0.736121 | + | 0.676850i | \(0.763344\pi\) | |||||||
\(810\) | −20.0860 | − | 8.08559i | −0.705752 | − | 0.284099i | ||||
\(811\) | −10.9474 | + | 47.9635i | −0.384414 | + | 1.68423i | 0.299047 | + | 0.954239i | \(0.403331\pi\) |
−0.683460 | + | 0.729988i | \(0.739526\pi\) | |||||||
\(812\) | 17.8807 | − | 15.8424i | 0.627491 | − | 0.555960i | ||||
\(813\) | −13.3260 | − | 6.76370i | −0.467363 | − | 0.237213i | ||||
\(814\) | 48.6868 | 1.70647 | ||||||||
\(815\) | 7.16614 | − | 12.4121i | 0.251019 | − | 0.434778i | ||||
\(816\) | −6.77286 | − | 3.43761i | −0.237098 | − | 0.120340i | ||||
\(817\) | −2.62767 | − | 35.0638i | −0.0919304 | − | 1.22673i | ||||
\(818\) | 9.19755 | − | 11.5334i | 0.321585 | − | 0.403255i | ||||
\(819\) | −20.3745 | + | 8.23438i | −0.711944 | + | 0.287733i | ||||
\(820\) | −12.0346 | − | 15.0910i | −0.420268 | − | 0.526999i | ||||
\(821\) | −4.51290 | + | 4.18736i | −0.157501 | + | 0.146140i | −0.754987 | − | 0.655740i | \(-0.772357\pi\) |
0.597486 | + | 0.801879i | \(0.296166\pi\) | |||||||
\(822\) | −11.4061 | + | 18.8366i | −0.397833 | + | 0.657002i | ||||
\(823\) | −26.6935 | + | 18.1993i | −0.930478 | + | 0.634389i | −0.930768 | − | 0.365611i | \(-0.880860\pi\) |
0.000290002 | 1.00000i | \(0.499908\pi\) | ||||||||
\(824\) | −4.68470 | + | 5.87443i | −0.163199 | + | 0.204645i | ||||
\(825\) | −7.81201 | + | 2.23221i | −0.271979 | + | 0.0777155i | ||||
\(826\) | 2.62419 | − | 1.19029i | 0.0913072 | − | 0.0414154i | ||||
\(827\) | 16.3199 | + | 7.85927i | 0.567500 | + | 0.273294i | 0.695554 | − | 0.718474i | \(-0.255159\pi\) |
−0.128054 | + | 0.991767i | \(0.540873\pi\) | |||||||
\(828\) | 0.202340 | − | 0.458318i | 0.00703180 | − | 0.0159276i | ||||
\(829\) | 20.1741 | − | 6.22290i | 0.700677 | − | 0.216130i | 0.0761075 | − | 0.997100i | \(-0.475751\pi\) |
0.624569 | + | 0.780969i | \(0.285275\pi\) | |||||||
\(830\) | −9.29293 | + | 4.47524i | −0.322562 | + | 0.155338i | ||||
\(831\) | 2.06970 | + | 3.76416i | 0.0717971 | + | 0.130577i | ||||
\(832\) | 1.38433 | + | 2.39773i | 0.0479931 | + | 0.0831265i | ||||
\(833\) | −12.5149 | + | 28.0291i | −0.433616 | + | 0.971149i | ||||
\(834\) | 9.44067 | − | 11.3441i | 0.326904 | − | 0.392815i | ||||
\(835\) | −17.1465 | + | 43.6886i | −0.593380 | + | 1.51191i | ||||
\(836\) | 36.9655 | + | 25.2027i | 1.27848 | + | 0.871653i | ||||
\(837\) | 5.43434 | + | 16.8851i | 0.187838 | + | 0.583635i | ||||
\(838\) | −0.921824 | + | 12.3009i | −0.0318439 | + | 0.424927i | ||||
\(839\) | 14.6553 | − | 9.99182i | 0.505958 | − | 0.344956i | −0.283287 | − | 0.959035i | \(-0.591425\pi\) |
0.789244 | + | 0.614079i | \(0.210472\pi\) | |||||||
\(840\) | 10.8192 | + | 2.11942i | 0.373299 | + | 0.0731268i | ||||
\(841\) | 43.4015 | + | 29.5906i | 1.49660 | + | 1.02037i | ||||
\(842\) | 11.8755 | − | 14.8913i | 0.409255 | − | 0.513190i | ||||
\(843\) | −38.3437 | + | 17.4889i | −1.32063 | + | 0.602351i | ||||
\(844\) | −6.32214 | − | 7.92771i | −0.217617 | − | 0.272883i | ||||
\(845\) | −12.2637 | − | 3.78284i | −0.421883 | − | 0.130134i | ||||
\(846\) | 17.0181 | + | 3.29675i | 0.585094 | + | 0.113345i | ||||
\(847\) | −64.6396 | − | 1.48497i | −2.22104 | − | 0.0510242i | ||||
\(848\) | 0.891587 | + | 2.27173i | 0.0306172 | + | 0.0780114i | ||||
\(849\) | −3.74516 | + | 1.70821i | −0.128534 | + | 0.0586255i | ||||
\(850\) | 3.30187 | + | 1.01849i | 0.113253 | + | 0.0349340i | ||||
\(851\) | 0.682905 | − | 1.18283i | 0.0234097 | − | 0.0405468i | ||||
\(852\) | −11.6161 | + | 13.9581i | −0.397959 | + | 0.478197i | ||||
\(853\) | 35.7730 | + | 11.0345i | 1.22484 | + | 0.377815i | 0.838685 | − | 0.544617i | \(-0.183325\pi\) |
0.386160 | + | 0.922432i | \(0.373801\pi\) | |||||||
\(854\) | 10.1008 | − | 6.55193i | 0.345642 | − | 0.224202i | ||||
\(855\) | −25.1371 | − | 48.0667i | −0.859669 | − | 1.64385i | ||||
\(856\) | 11.5811 | + | 10.7457i | 0.395835 | + | 0.367281i | ||||
\(857\) | 2.48595 | − | 3.11728i | 0.0849183 | − | 0.106484i | −0.737557 | − | 0.675285i | \(-0.764021\pi\) |
0.822476 | + | 0.568800i | \(0.192592\pi\) | |||||||
\(858\) | 5.77004 | + | 27.9581i | 0.196986 | + | 0.954474i | ||||
\(859\) | −9.55025 | + | 41.8424i | −0.325850 | + | 1.42764i | 0.501111 | + | 0.865383i | \(0.332925\pi\) |
−0.826961 | + | 0.562260i | \(0.809932\pi\) | |||||||
\(860\) | −10.7558 | + | 3.31774i | −0.366771 | + | 0.113134i | ||||
\(861\) | −4.35188 | + | 36.5078i | −0.148312 | + | 1.24418i | ||||
\(862\) | 12.4719 | + | 3.84707i | 0.424794 | + | 0.131032i | ||||
\(863\) | 2.71939 | − | 4.71011i | 0.0925690 | − | 0.160334i | −0.816022 | − | 0.578020i | \(-0.803825\pi\) |
0.908591 | + | 0.417686i | \(0.137159\pi\) | |||||||
\(864\) | 4.46804 | − | 2.65266i | 0.152006 | − | 0.0902455i | ||||
\(865\) | 5.07464 | − | 4.70858i | 0.172543 | − | 0.160097i | ||||
\(866\) | 1.84920 | + | 24.6759i | 0.0628384 | + | 0.838520i | ||||
\(867\) | 0.780556 | + | 3.78210i | 0.0265091 | + | 0.128447i | ||||
\(868\) | −4.33506 | − | 7.92340i | −0.147141 | − | 0.268938i | ||||
\(869\) | −3.33165 | + | 8.48892i | −0.113019 | + | 0.287967i | ||||
\(870\) | 2.02794 | + | 37.5706i | 0.0687536 | + | 1.27376i | ||||
\(871\) | 25.2201 | + | 31.6250i | 0.854551 | + | 1.07157i | ||||
\(872\) | −0.375397 | − | 5.00933i | −0.0127125 | − | 0.169637i | ||||
\(873\) | 0.510210 | + | 15.4323i | 0.0172680 | + | 0.522304i | ||||
\(874\) | 1.13078 | − | 0.544557i | 0.0382493 | − | 0.0184199i | ||||
\(875\) | 26.8033 | + | 0.615756i | 0.906118 | + | 0.0208163i | ||||
\(876\) | −1.32186 | − | 0.942241i | −0.0446616 | − | 0.0318354i | ||||
\(877\) | −28.1175 | + | 13.5407i | −0.949461 | + | 0.457236i | −0.843497 | − | 0.537134i | \(-0.819507\pi\) |
−0.105964 | + | 0.994370i | \(0.533793\pi\) | |||||||
\(878\) | 16.7308 | + | 15.5239i | 0.564638 | + | 0.523908i | ||||
\(879\) | 30.1193 | + | 29.1400i | 1.01590 | + | 0.982869i | ||||
\(880\) | 5.23234 | − | 13.3318i | 0.176382 | − | 0.449414i | ||||
\(881\) | 16.0707 | 0.541436 | 0.270718 | − | 0.962659i | \(-0.412739\pi\) | ||||
0.270718 | + | 0.962659i | \(0.412739\pi\) | |||||||
\(882\) | −11.6051 | − | 17.5020i | −0.390764 | − | 0.589324i | ||||
\(883\) | −15.2744 | −0.514026 | −0.257013 | − | 0.966408i | \(-0.582738\pi\) | ||||
−0.257013 | + | 0.966408i | \(0.582738\pi\) | |||||||
\(884\) | 4.43562 | − | 11.3018i | 0.149186 | − | 0.380120i | ||||
\(885\) | −1.10201 | + | 4.40250i | −0.0370437 | + | 0.147988i | ||||
\(886\) | −27.8743 | − | 25.8636i | −0.936457 | − | 0.868905i | ||||
\(887\) | 30.2947 | − | 14.5892i | 1.01720 | − | 0.489857i | 0.150458 | − | 0.988616i | \(-0.451925\pi\) |
0.866740 | + | 0.498760i | \(0.166211\pi\) | |||||||
\(888\) | 12.8884 | − | 5.87852i | 0.432506 | − | 0.197270i | ||||
\(889\) | 48.1998 | − | 21.8626i | 1.61657 | − | 0.733250i | ||||
\(890\) | 5.22002 | − | 2.51383i | 0.174975 | − | 0.0842638i | ||||
\(891\) | 52.3352 | − | 11.4670i | 1.75330 | − | 0.384159i | ||||
\(892\) | −0.0511322 | − | 0.682312i | −0.00171203 | − | 0.0228455i | ||||
\(893\) | 27.0755 | + | 33.9516i | 0.906046 | + | 1.13615i | ||||
\(894\) | −32.9799 | + | 21.4909i | −1.10301 | + | 0.718762i | ||||
\(895\) | −6.95084 | + | 17.7105i | −0.232341 | + | 0.591995i | ||||
\(896\) | −1.98029 | + | 1.75455i | −0.0661569 | + | 0.0586154i | ||||
\(897\) | 0.760163 | + | 0.251973i | 0.0253811 | + | 0.00841313i | ||||
\(898\) | 1.07445 | + | 14.3375i | 0.0358548 | + | 0.478449i | ||||
\(899\) | 22.5951 | − | 20.9652i | 0.753590 | − | 0.699229i | ||||
\(900\) | −1.79847 | + | 1.53414i | −0.0599491 | + | 0.0511381i | ||||
\(901\) | 5.35082 | − | 9.26790i | 0.178262 | − | 0.308758i | ||||
\(902\) | 45.6392 | + | 14.0778i | 1.51962 | + | 0.468741i | ||||
\(903\) | 18.8906 | + | 10.1402i | 0.628639 | + | 0.337446i | ||||
\(904\) | 0.700703 | − | 0.216138i | 0.0233050 | − | 0.00718865i | ||||
\(905\) | 13.8197 | − | 60.5480i | 0.459382 | − | 2.01268i | ||||
\(906\) | 7.92413 | + | 2.62663i | 0.263262 | + | 0.0872639i | ||||
\(907\) | 2.43624 | − | 3.05494i | 0.0808939 | − | 0.101438i | −0.739738 | − | 0.672895i | \(-0.765050\pi\) |
0.820632 | + | 0.571458i | \(0.193622\pi\) | |||||||
\(908\) | 2.94917 | + | 2.73643i | 0.0978718 | + | 0.0908117i | ||||
\(909\) | −6.19203 | + | 9.76004i | −0.205377 | + | 0.323720i | ||||
\(910\) | −1.72025 | + | 17.5390i | −0.0570257 | + | 0.581411i | ||||
\(911\) | 14.8067 | + | 4.56726i | 0.490567 | + | 0.151320i | 0.530163 | − | 0.847896i | \(-0.322131\pi\) |
−0.0395955 | + | 0.999216i | \(0.512607\pi\) | |||||||
\(912\) | 12.8285 | + | 2.20838i | 0.424795 | + | 0.0731266i | ||||
\(913\) | 12.7610 | − | 22.1027i | 0.422327 | − | 0.731491i | ||||
\(914\) | −22.4981 | − | 6.93975i | −0.744171 | − | 0.229546i | ||||
\(915\) | −1.81145 | + | 18.8755i | −0.0598846 | + | 0.624005i | ||||
\(916\) | −0.678467 | − | 1.72871i | −0.0224172 | − | 0.0571181i | ||||
\(917\) | −10.4539 | + | 41.3950i | −0.345219 | + | 1.36698i | ||||
\(918\) | −21.3106 | − | 8.06582i | −0.703355 | − | 0.266212i | ||||
\(919\) | 43.9543 | + | 13.5581i | 1.44992 | + | 0.447240i | 0.916986 | − | 0.398919i | \(-0.130614\pi\) |
0.532931 | + | 0.846159i | \(0.321091\pi\) | |||||||
\(920\) | −0.250499 | − | 0.314115i | −0.00825869 | − | 0.0103561i | ||||
\(921\) | 16.9848 | + | 12.1070i | 0.559669 | + | 0.398939i | ||||
\(922\) | 0.699465 | − | 0.877102i | 0.0230357 | − | 0.0288858i | ||||
\(923\) | −23.9837 | − | 16.3518i | −0.789432 | − | 0.538225i | ||||
\(924\) | −25.0736 | + | 10.7477i | −0.824860 | + | 0.353573i | ||||
\(925\) | −5.32469 | + | 3.63031i | −0.175075 | + | 0.119364i | ||||
\(926\) | 2.37251 | − | 31.6589i | 0.0779654 | − | 1.04038i | ||||
\(927\) | −12.0755 | + | 19.0337i | −0.396611 | + | 0.625148i | ||||
\(928\) | −7.46039 | − | 5.08641i | −0.244899 | − | 0.166970i | ||||
\(929\) | 18.2373 | − | 46.4678i | 0.598345 | − | 1.52456i | −0.235109 | − | 0.971969i | \(-0.575545\pi\) |
0.833454 | − | 0.552589i | \(-0.186360\pi\) | |||||||
\(930\) | 14.0187 | + | 2.41326i | 0.459690 | + | 0.0791338i | ||||
\(931\) | 6.33641 | − | 52.2254i | 0.207668 | − | 1.71162i | ||||
\(932\) | 5.44218 | + | 9.42614i | 0.178265 | + | 0.308763i | ||||
\(933\) | 42.2195 | + | 0.881474i | 1.38220 | + | 0.0288582i | ||||
\(934\) | −27.3742 | + | 13.1827i | −0.895711 | + | 0.431352i | ||||
\(935\) | −60.0131 | + | 18.5116i | −1.96264 | + | 0.605394i | ||||
\(936\) | 4.90315 | + | 6.70438i | 0.160264 | + | 0.219140i | ||||
\(937\) | 49.1672 | + | 23.6777i | 1.60622 | + | 0.773516i | 0.999767 | − | 0.0216020i | \(-0.00687667\pi\) |
0.606455 | + | 0.795118i | \(0.292591\pi\) | |||||||
\(938\) | −24.7882 | + | 29.6595i | −0.809363 | + | 0.968419i | ||||
\(939\) | −5.86733 | − | 5.67656i | −0.191473 | − | 0.185247i | ||||
\(940\) | 8.66726 | − | 10.8684i | 0.282695 | − | 0.354488i | ||||
\(941\) | 3.12610 | − | 2.13134i | 0.101908 | − | 0.0694797i | −0.511294 | − | 0.859406i | \(-0.670834\pi\) |
0.613202 | + | 0.789926i | \(0.289881\pi\) | |||||||
\(942\) | −17.5843 | − | 31.9805i | −0.572926 | − | 1.04198i | ||||
\(943\) | 0.982172 | − | 0.911323i | 0.0319839 | − | 0.0296768i | ||||
\(944\) | −0.679050 | − | 0.851502i | −0.0221012 | − | 0.0277140i | ||||
\(945\) | 32.9535 | + | 2.82756i | 1.07198 | + | 0.0919807i | ||||
\(946\) | 17.3652 | − | 21.7753i | 0.564592 | − | 0.707976i | ||||
\(947\) | 2.41807 | + | 32.2670i | 0.0785769 | + | 1.04854i | 0.887557 | + | 0.460699i | \(0.152401\pi\) |
−0.808980 | + | 0.587837i | \(0.799980\pi\) | |||||||
\(948\) | 0.143009 | + | 2.64945i | 0.00464472 | + | 0.0860503i | ||||
\(949\) | 1.29742 | − | 2.24720i | 0.0421161 | − | 0.0729472i | ||||
\(950\) | −5.92200 | −0.192135 | ||||||||
\(951\) | −3.59258 | + | 2.34105i | −0.116497 | + | 0.0759136i | ||||
\(952\) | 11.4297 | + | 1.99223i | 0.370439 | + | 0.0645684i | ||||
\(953\) | 5.91696 | − | 25.9239i | 0.191669 | − | 0.839757i | −0.784044 | − | 0.620705i | \(-0.786846\pi\) |
0.975713 | − | 0.219052i | \(-0.0702964\pi\) | |||||||
\(954\) | 3.39281 | + | 6.48767i | 0.109846 | + | 0.210046i | ||||
\(955\) | −10.4067 | − | 1.56855i | −0.336751 | − | 0.0507571i | ||||
\(956\) | 7.71884 | − | 9.67913i | 0.249645 | − | 0.313045i | ||||
\(957\) | −56.5150 | − | 73.9845i | −1.82687 | − | 2.39158i | ||||
\(958\) | −19.6621 | + | 6.06495i | −0.635254 | + | 0.195950i | ||||
\(959\) | 8.23622 | − | 32.6134i | 0.265961 | − | 1.05314i | ||||
\(960\) | −0.224595 | − | 4.16095i | −0.00724876 | − | 0.134294i | ||||
\(961\) | 9.67335 | + | 16.7547i | 0.312044 | + | 0.540475i | ||||
\(962\) | 11.3219 | + | 19.6100i | 0.365032 | + | 0.632253i | ||||
\(963\) | 38.0115 | + | 28.3101i | 1.22490 | + | 0.912279i | ||||
\(964\) | 7.90087 | − | 5.38672i | 0.254470 | − | 0.173495i | ||||
\(965\) | −7.14770 | − | 18.2120i | −0.230093 | − | 0.586266i | ||||
\(966\) | −0.0905836 | + | 0.759903i | −0.00291448 | + | 0.0244495i | ||||
\(967\) | −1.47677 | + | 3.76275i | −0.0474898 | + | 0.121002i | −0.952650 | − | 0.304068i | \(-0.901655\pi\) |
0.905161 | + | 0.425070i | \(0.139750\pi\) | |||||||
\(968\) | 5.43795 | + | 23.8252i | 0.174782 | + | 0.765771i | ||||
\(969\) | −27.5032 | − | 50.0199i | −0.883529 | − | 1.60687i | ||||
\(970\) | 11.1563 | + | 5.37258i | 0.358207 | + | 0.172503i | ||||
\(971\) | 13.8161 | + | 35.2028i | 0.443380 | + | 1.12971i | 0.961597 | + | 0.274464i | \(0.0885005\pi\) |
−0.518218 | + | 0.855249i | \(0.673404\pi\) | |||||||
\(972\) | 12.4696 | − | 9.35458i | 0.399964 | − | 0.300048i | ||||
\(973\) | −8.71609 | + | 20.7910i | −0.279425 | + | 0.666529i | ||||
\(974\) | −31.5104 | + | 21.4834i | −1.00966 | + | 0.688373i | ||||
\(975\) | −2.71573 | − | 2.62743i | −0.0869729 | − | 0.0841450i | ||||
\(976\) | −3.33580 | − | 3.09517i | −0.106776 | − | 0.0990740i | ||||
\(977\) | −0.340893 | + | 4.54890i | −0.0109061 | + | 0.145532i | −0.999998 | − | 0.00176483i | \(-0.999438\pi\) |
0.989092 | + | 0.147297i | \(0.0470573\pi\) | |||||||
\(978\) | 4.97155 | + | 9.04175i | 0.158973 | + | 0.289123i | ||||
\(979\) | −7.16809 | + | 12.4155i | −0.229093 | + | 0.396801i | ||||
\(980\) | −16.7503 | + | 1.74261i | −0.535070 | + | 0.0556657i | ||||
\(981\) | −2.73726 | − | 14.8194i | −0.0873940 | − | 0.473148i | ||||
\(982\) | −6.17682 | + | 0.931006i | −0.197110 | + | 0.0297096i | ||||
\(983\) | 3.42586 | − | 1.64981i | 0.109268 | − | 0.0526207i | −0.378451 | − | 0.925621i | \(-0.623543\pi\) |
0.487719 | + | 0.873000i | \(0.337829\pi\) | |||||||
\(984\) | 13.7814 | − | 1.78386i | 0.439335 | − | 0.0568675i | ||||
\(985\) | 25.0098 | − | 12.0441i | 0.796880 | − | 0.383757i | ||||
\(986\) | 2.95894 | + | 39.4844i | 0.0942320 | + | 1.25744i | ||||
\(987\) | −26.3309 | + | 2.79506i | −0.838122 | + | 0.0889677i | ||||
\(988\) | −1.55497 | + | 20.7497i | −0.0494703 | + | 0.660136i | ||||
\(989\) | −0.285449 | − | 0.727312i | −0.00907674 | − | 0.0231272i | ||||
\(990\) | 11.3007 | − | 41.4526i | 0.359160 | − | 1.31745i | ||||
\(991\) | −1.42128 | + | 3.62135i | −0.0451483 | + | 0.115036i | −0.951669 | − | 0.307125i | \(-0.900633\pi\) |
0.906521 | + | 0.422161i | \(0.138728\pi\) | |||||||
\(992\) | −2.50241 | + | 2.32190i | −0.0794517 | + | 0.0737204i | ||||
\(993\) | −29.9903 | + | 49.5276i | −0.951715 | + | 1.57171i | ||||
\(994\) | 10.7245 | − | 25.5818i | 0.340161 | − | 0.811406i | ||||
\(995\) | −31.0285 | − | 4.67680i | −0.983671 | − | 0.148264i | ||||
\(996\) | 0.709377 | − | 7.39179i | 0.0224775 | − | 0.234218i | ||||
\(997\) | −0.833938 | − | 3.65372i | −0.0264111 | − | 0.115714i | 0.960004 | − | 0.279986i | \(-0.0903298\pi\) |
−0.986415 | + | 0.164271i | \(0.947473\pi\) | |||||||
\(998\) | −19.5507 | − | 33.8629i | −0.618867 | − | 1.07191i | ||||
\(999\) | 36.5422 | − | 21.6950i | 1.15614 | − | 0.686400i |
(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 | 882.2.y.a.583.3 | ✓ | 336 | |
9.4 | even | 3 | 882.2.bb.b.877.14 | yes | 336 | ||
49.39 | even | 21 | 882.2.bb.b.529.14 | yes | 336 | ||
441.382 | even | 21 | inner | 882.2.y.a.823.3 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.2.y.a.583.3 | ✓ | 336 | 1.1 | even | 1 | trivial | |
882.2.y.a.823.3 | yes | 336 | 441.382 | even | 21 | inner | |
882.2.bb.b.529.14 | yes | 336 | 49.39 | even | 21 | ||
882.2.bb.b.877.14 | yes | 336 | 9.4 | even | 3 |