Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 13.16 | ||
Character | \(\chi\) | \(=\) | 144.13 |
Dual form | 144.2.x.e.133.16 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.26390 | − | 0.634467i | 0.893715 | − | 0.448636i | ||||
\(3\) | −1.68301 | − | 0.409248i | −0.971685 | − | 0.236279i | ||||
\(4\) | 1.19490 | − | 1.60381i | 0.597452 | − | 0.801905i | ||||
\(5\) | −0.884514 | − | 3.30105i | −0.395567 | − | 1.47628i | −0.820812 | − | 0.571198i | \(-0.806479\pi\) |
0.425246 | − | 0.905078i | \(-0.360188\pi\) | |||||||
\(6\) | −2.38681 | + | 0.550563i | −0.974413 | + | 0.224766i | ||||
\(7\) | −2.63210 | + | 1.51965i | −0.994842 | + | 0.574372i | −0.906718 | − | 0.421737i | \(-0.861420\pi\) |
−0.0881237 | + | 0.996110i | \(0.528087\pi\) | |||||||
\(8\) | 0.492680 | − | 2.78519i | 0.174189 | − | 0.984712i | ||||
\(9\) | 2.66503 | + | 1.37753i | 0.888344 | + | 0.459178i | ||||
\(10\) | −3.21235 | − | 3.61102i | −1.01583 | − | 1.14190i | ||||
\(11\) | 5.21614 | + | 1.39766i | 1.57273 | + | 0.421411i | 0.936665 | − | 0.350227i | \(-0.113896\pi\) |
0.636062 | + | 0.771638i | \(0.280562\pi\) | |||||||
\(12\) | −2.66739 | + | 2.21021i | −0.770009 | + | 0.638033i | ||||
\(13\) | 1.41274 | − | 0.378541i | 0.391822 | − | 0.104988i | −0.0575285 | − | 0.998344i | \(-0.518322\pi\) |
0.449351 | + | 0.893355i | \(0.351655\pi\) | |||||||
\(14\) | −2.36256 | + | 3.59067i | −0.631421 | + | 0.959646i | ||||
\(15\) | 0.137697 | + | 5.91768i | 0.0355532 | + | 1.52794i | ||||
\(16\) | −1.14441 | − | 3.83280i | −0.286102 | − | 0.958199i | ||||
\(17\) | 0.259408 | 0.0629158 | 0.0314579 | − | 0.999505i | \(-0.489985\pi\) | ||||
0.0314579 | + | 0.999505i | \(0.489985\pi\) | |||||||
\(18\) | 4.24234 | + | 0.0501958i | 0.999930 | + | 0.0118313i | ||||
\(19\) | 0.228947 | + | 0.228947i | 0.0525241 | + | 0.0525241i | 0.732881 | − | 0.680357i | \(-0.238175\pi\) |
−0.680357 | + | 0.732881i | \(0.738175\pi\) | |||||||
\(20\) | −6.35117 | − | 2.52585i | −1.42016 | − | 0.564797i | ||||
\(21\) | 5.05176 | − | 1.48039i | 1.10239 | − | 0.323048i | ||||
\(22\) | 7.47947 | − | 1.54296i | 1.59463 | − | 0.328960i | ||||
\(23\) | 2.69713 | + | 1.55719i | 0.562391 | + | 0.324697i | 0.754105 | − | 0.656754i | \(-0.228071\pi\) |
−0.191714 | + | 0.981451i | \(0.561404\pi\) | |||||||
\(24\) | −1.96902 | + | 4.48586i | −0.401924 | + | 0.915673i | ||||
\(25\) | −5.78446 | + | 3.33966i | −1.15689 | + | 0.667932i | ||||
\(26\) | 1.54539 | − | 1.37477i | 0.303076 | − | 0.269615i | ||||
\(27\) | −3.92152 | − | 3.40906i | −0.754697 | − | 0.656074i | ||||
\(28\) | −0.707890 | + | 6.03722i | −0.133779 | + | 1.14093i | ||||
\(29\) | −0.438247 | + | 1.63556i | −0.0813803 | + | 0.303716i | −0.994604 | − | 0.103743i | \(-0.966918\pi\) |
0.913224 | + | 0.407458i | \(0.133585\pi\) | |||||||
\(30\) | 3.92861 | + | 7.39202i | 0.717263 | + | 1.34959i | ||||
\(31\) | −3.30458 | + | 5.72370i | −0.593520 | + | 1.02801i | 0.400233 | + | 0.916413i | \(0.368929\pi\) |
−0.993754 | + | 0.111594i | \(0.964404\pi\) | |||||||
\(32\) | −3.87820 | − | 4.11820i | −0.685576 | − | 0.728001i | ||||
\(33\) | −8.20682 | − | 4.48697i | −1.42862 | − | 0.781081i | ||||
\(34\) | 0.327867 | − | 0.164586i | 0.0562288 | − | 0.0282263i | ||||
\(35\) | 7.34457 | + | 7.34457i | 1.24146 | + | 1.24146i | ||||
\(36\) | 5.39376 | − | 2.62818i | 0.898960 | − | 0.438030i | ||||
\(37\) | 1.24139 | − | 1.24139i | 0.204084 | − | 0.204084i | −0.597663 | − | 0.801747i | \(-0.703904\pi\) |
0.801747 | + | 0.597663i | \(0.203904\pi\) | |||||||
\(38\) | 0.434627 | + | 0.144108i | 0.0705058 | + | 0.0233774i | ||||
\(39\) | −2.53256 | + | 0.0589295i | −0.405535 | + | 0.00943627i | ||||
\(40\) | −9.62983 | + | 0.837175i | −1.52261 | + | 0.132369i | ||||
\(41\) | 8.85221 | + | 5.11082i | 1.38248 | + | 0.798177i | 0.992453 | − | 0.122626i | \(-0.0391314\pi\) |
0.390030 | + | 0.920802i | \(0.372465\pi\) | |||||||
\(42\) | 5.44568 | − | 5.07625i | 0.840287 | − | 0.783283i | ||||
\(43\) | −2.69530 | − | 0.722202i | −0.411029 | − | 0.110135i | 0.0473786 | − | 0.998877i | \(-0.484913\pi\) |
−0.458407 | + | 0.888742i | \(0.651580\pi\) | |||||||
\(44\) | 8.47437 | − | 6.69563i | 1.27756 | − | 1.00940i | ||||
\(45\) | 2.19005 | − | 10.0159i | 0.326474 | − | 1.49308i | ||||
\(46\) | 4.39690 | + | 0.256898i | 0.648288 | + | 0.0378775i | ||||
\(47\) | −6.08240 | − | 10.5350i | −0.887209 | − | 1.53669i | −0.843160 | − | 0.537662i | \(-0.819307\pi\) |
−0.0440493 | − | 0.999029i | \(-0.514026\pi\) | |||||||
\(48\) | 0.357486 | + | 6.91897i | 0.0515986 | + | 0.998668i | ||||
\(49\) | 1.11865 | − | 1.93755i | 0.159807 | − | 0.276793i | ||||
\(50\) | −5.19209 | + | 7.89105i | −0.734273 | + | 1.11596i | ||||
\(51\) | −0.436587 | − | 0.106162i | −0.0611343 | − | 0.0148657i | ||||
\(52\) | 1.08098 | − | 2.71808i | 0.149904 | − | 0.376930i | ||||
\(53\) | 1.24325 | − | 1.24325i | 0.170773 | − | 0.170773i | −0.616546 | − | 0.787319i | \(-0.711468\pi\) |
0.787319 | + | 0.616546i | \(0.211468\pi\) | |||||||
\(54\) | −7.11936 | − | 1.82065i | −0.968822 | − | 0.247759i | ||||
\(55\) | − | 18.4550i | − | 2.48847i | ||||||
\(56\) | 2.93571 | + | 8.07960i | 0.392301 | + | 1.07968i | ||||
\(57\) | −0.291624 | − | 0.479016i | −0.0386266 | − | 0.0634473i | ||||
\(58\) | 0.483806 | + | 2.34524i | 0.0635268 | + | 0.307945i | ||||
\(59\) | −0.194360 | − | 0.725362i | −0.0253036 | − | 0.0944341i | 0.952119 | − | 0.305727i | \(-0.0988994\pi\) |
−0.977423 | + | 0.211293i | \(0.932233\pi\) | |||||||
\(60\) | 9.65537 | + | 6.85023i | 1.24650 | + | 0.884360i | ||||
\(61\) | −1.16865 | + | 4.36145i | −0.149630 | + | 0.558427i | 0.849876 | + | 0.526983i | \(0.176677\pi\) |
−0.999506 | + | 0.0314432i | \(0.989990\pi\) | |||||||
\(62\) | −0.545173 | + | 9.33086i | −0.0692371 | + | 1.18502i | ||||
\(63\) | −9.10801 | + | 0.424093i | −1.14750 | + | 0.0534307i | ||||
\(64\) | −7.51453 | − | 2.74441i | −0.939317 | − | 0.343051i | ||||
\(65\) | −2.49917 | − | 4.32869i | −0.309984 | − | 0.536908i | ||||
\(66\) | −13.2195 | − | 0.464142i | −1.62720 | − | 0.0571319i | ||||
\(67\) | −1.53481 | + | 0.411250i | −0.187506 | + | 0.0502422i | −0.351350 | − | 0.936244i | \(-0.614277\pi\) |
0.163844 | + | 0.986486i | \(0.447611\pi\) | |||||||
\(68\) | 0.309968 | − | 0.416042i | 0.0375892 | − | 0.0504525i | ||||
\(69\) | −3.90202 | − | 3.72456i | −0.469748 | − | 0.448384i | ||||
\(70\) | 13.9427 | + | 4.62294i | 1.66647 | + | 0.552547i | ||||
\(71\) | 4.68290i | 0.555758i | 0.960616 | + | 0.277879i | \(0.0896315\pi\) | ||||
−0.960616 | + | 0.277879i | \(0.910368\pi\) | |||||||
\(72\) | 5.14970 | − | 6.74393i | 0.606898 | − | 0.794780i | ||||
\(73\) | 15.1606i | 1.77441i | 0.461373 | + | 0.887206i | \(0.347357\pi\) | ||||
−0.461373 | + | 0.887206i | \(0.652643\pi\) | |||||||
\(74\) | 0.781378 | − | 2.35662i | 0.0908334 | − | 0.273952i | ||||
\(75\) | 11.1020 | − | 3.25340i | 1.28195 | − | 0.375670i | ||||
\(76\) | 0.640758 | − | 0.0936177i | 0.0735000 | − | 0.0107387i | ||||
\(77\) | −15.8534 | + | 4.24790i | −1.80666 | + | 0.484093i | ||||
\(78\) | −3.16353 | + | 1.68131i | −0.358199 | + | 0.190371i | ||||
\(79\) | −0.738050 | − | 1.27834i | −0.0830371 | − | 0.143824i | 0.821516 | − | 0.570185i | \(-0.193129\pi\) |
−0.904553 | + | 0.426361i | \(0.859795\pi\) | |||||||
\(80\) | −11.6400 | + | 7.16792i | −1.30139 | + | 0.801397i | ||||
\(81\) | 5.20480 | + | 7.34235i | 0.578311 | + | 0.815816i | ||||
\(82\) | 14.4310 | + | 0.843158i | 1.59364 | + | 0.0931113i | ||||
\(83\) | 0.908637 | − | 3.39108i | 0.0997358 | − | 0.372219i | −0.897959 | − | 0.440079i | \(-0.854950\pi\) |
0.997695 | + | 0.0678599i | \(0.0216171\pi\) | |||||||
\(84\) | 3.66210 | − | 9.87099i | 0.399568 | − | 1.07701i | ||||
\(85\) | −0.229451 | − | 0.856321i | −0.0248874 | − | 0.0928811i | ||||
\(86\) | −3.86481 | + | 0.797281i | −0.416753 | + | 0.0859731i | ||||
\(87\) | 1.40692 | − | 2.57331i | 0.150838 | − | 0.275887i | ||||
\(88\) | 6.46264 | − | 13.8393i | 0.688919 | − | 1.47528i | ||||
\(89\) | − | 15.7450i | − | 1.66897i | −0.551029 | − | 0.834486i | \(-0.685765\pi\) | ||
0.551029 | − | 0.834486i | \(-0.314235\pi\) | |||||||
\(90\) | −3.58672 | − | 14.0486i | −0.378073 | − | 1.48085i | ||||
\(91\) | −3.14322 | + | 3.14322i | −0.329499 | + | 0.329499i | ||||
\(92\) | 5.72025 | − | 2.46499i | 0.596377 | − | 0.256993i | ||||
\(93\) | 7.90405 | − | 8.28065i | 0.819612 | − | 0.858663i | ||||
\(94\) | −14.3717 | − | 9.45618i | −1.48233 | − | 0.975330i | ||||
\(95\) | 0.553260 | − | 0.958274i | 0.0567633 | − | 0.0983169i | ||||
\(96\) | 4.84169 | + | 8.51810i | 0.494152 | + | 0.869375i | ||||
\(97\) | 5.94343 | + | 10.2943i | 0.603464 | + | 1.04523i | 0.992292 | + | 0.123919i | \(0.0395465\pi\) |
−0.388829 | + | 0.921310i | \(0.627120\pi\) | |||||||
\(98\) | 0.184549 | − | 3.15863i | 0.0186423 | − | 0.319069i | ||||
\(99\) | 11.9759 | + | 10.9102i | 1.20362 | + | 1.09652i | ||||
\(100\) | −1.55570 | + | 13.2677i | −0.155570 | + | 1.32677i | ||||
\(101\) | −7.20855 | − | 1.93153i | −0.717278 | − | 0.192194i | −0.118321 | − | 0.992975i | \(-0.537751\pi\) |
−0.598957 | + | 0.800781i | \(0.704418\pi\) | |||||||
\(102\) | −0.619160 | + | 0.142821i | −0.0613059 | + | 0.0141414i | ||||
\(103\) | 9.83030 | + | 5.67553i | 0.968609 | + | 0.559227i | 0.898812 | − | 0.438335i | \(-0.144432\pi\) |
0.0697969 | + | 0.997561i | \(0.477765\pi\) | |||||||
\(104\) | −0.358282 | − | 4.12123i | −0.0351324 | − | 0.404120i | ||||
\(105\) | −9.35522 | − | 15.3667i | −0.912976 | − | 1.49964i | ||||
\(106\) | 0.782546 | − | 2.36014i | 0.0760076 | − | 0.229237i | ||||
\(107\) | −6.81697 | + | 6.81697i | −0.659022 | + | 0.659022i | −0.955149 | − | 0.296127i | \(-0.904305\pi\) |
0.296127 | + | 0.955149i | \(0.404305\pi\) | |||||||
\(108\) | −10.1533 | + | 2.21587i | −0.977004 | + | 0.213222i | ||||
\(109\) | −7.08227 | − | 7.08227i | −0.678359 | − | 0.678359i | 0.281270 | − | 0.959629i | \(-0.409244\pi\) |
−0.959629 | + | 0.281270i | \(0.909244\pi\) | |||||||
\(110\) | −11.7091 | − | 23.3254i | −1.11642 | − | 2.22399i | ||||
\(111\) | −2.59731 | + | 1.58124i | −0.246526 | + | 0.150084i | ||||
\(112\) | 8.83670 | + | 8.34922i | 0.834989 | + | 0.788927i | ||||
\(113\) | −3.22342 | + | 5.58312i | −0.303234 | + | 0.525216i | −0.976866 | − | 0.213850i | \(-0.931400\pi\) |
0.673633 | + | 0.739066i | \(0.264733\pi\) | |||||||
\(114\) | −0.672505 | − | 0.420405i | −0.0629858 | − | 0.0393745i | ||||
\(115\) | 2.75471 | − | 10.2807i | 0.256878 | − | 0.958684i | ||||
\(116\) | 2.09946 | + | 2.65720i | 0.194930 | + | 0.246715i | ||||
\(117\) | 4.28644 | + | 0.937266i | 0.396282 | + | 0.0866503i | ||||
\(118\) | −0.705871 | − | 0.793473i | −0.0649807 | − | 0.0730451i | ||||
\(119\) | −0.682790 | + | 0.394209i | −0.0625913 | + | 0.0361371i | ||||
\(120\) | 16.5497 | + | 2.53201i | 1.51077 | + | 0.231140i | ||||
\(121\) | 15.7284 | + | 9.08080i | 1.42986 | + | 0.825528i | ||||
\(122\) | 1.29014 | + | 6.25392i | 0.116804 | + | 0.566203i | ||||
\(123\) | −12.8067 | − | 12.2243i | −1.15475 | − | 1.10223i | ||||
\(124\) | 5.23107 | + | 12.1392i | 0.469764 | + | 1.09013i | ||||
\(125\) | 4.05813 | + | 4.05813i | 0.362970 | + | 0.362970i | ||||
\(126\) | −11.2426 | + | 6.31474i | −1.00157 | + | 0.562562i | ||||
\(127\) | 14.1695 | 1.25734 | 0.628669 | − | 0.777673i | \(-0.283600\pi\) | ||||
0.628669 | + | 0.777673i | \(0.283600\pi\) | |||||||
\(128\) | −11.2389 | + | 1.29905i | −0.993386 | + | 0.114821i | ||||
\(129\) | 4.24065 | + | 2.31852i | 0.373368 | + | 0.204134i | ||||
\(130\) | −5.90512 | − | 3.88541i | −0.517913 | − | 0.340773i | ||||
\(131\) | 8.71838 | − | 2.33608i | 0.761728 | − | 0.204104i | 0.143014 | − | 0.989721i | \(-0.454321\pi\) |
0.618714 | + | 0.785616i | \(0.287654\pi\) | |||||||
\(132\) | −17.0026 | + | 7.80068i | −1.47989 | + | 0.678962i | ||||
\(133\) | −0.950532 | − | 0.254694i | −0.0824216 | − | 0.0220848i | ||||
\(134\) | −1.67892 | + | 1.49356i | −0.145037 | + | 0.129024i | ||||
\(135\) | −7.78485 | + | 15.9605i | −0.670013 | + | 1.37366i | ||||
\(136\) | 0.127805 | − | 0.722501i | 0.0109592 | − | 0.0619540i | ||||
\(137\) | −8.48376 | + | 4.89810i | −0.724817 | + | 0.418473i | −0.816523 | − | 0.577313i | \(-0.804101\pi\) |
0.0917063 | + | 0.995786i | \(0.470768\pi\) | |||||||
\(138\) | −7.29489 | − | 2.23178i | −0.620982 | − | 0.189982i | ||||
\(139\) | −0.142617 | − | 0.532255i | −0.0120967 | − | 0.0451453i | 0.959614 | − | 0.281321i | \(-0.0907726\pi\) |
−0.971710 | + | 0.236176i | \(0.924106\pi\) | |||||||
\(140\) | 20.5553 | − | 3.00323i | 1.73724 | − | 0.253819i | ||||
\(141\) | 5.92530 | + | 20.2197i | 0.499000 | + | 1.70281i | ||||
\(142\) | 2.97115 | + | 5.91874i | 0.249333 | + | 0.496690i | ||||
\(143\) | 7.89810 | 0.660473 | ||||||||
\(144\) | 2.22992 | − | 11.7910i | 0.185827 | − | 0.982582i | ||||
\(145\) | 5.78670 | 0.480559 | ||||||||
\(146\) | 9.61888 | + | 19.1615i | 0.796065 | + | 1.58582i | ||||
\(147\) | −2.67563 | + | 2.80312i | −0.220682 | + | 0.231197i | ||||
\(148\) | −0.507612 | − | 3.47430i | −0.0417254 | − | 0.285586i | ||||
\(149\) | 2.96113 | + | 11.0511i | 0.242586 | + | 0.905342i | 0.974582 | + | 0.224033i | \(0.0719223\pi\) |
−0.731996 | + | 0.681309i | \(0.761411\pi\) | |||||||
\(150\) | 11.9677 | − | 11.1559i | 0.977161 | − | 0.910871i | ||||
\(151\) | −0.427774 | + | 0.246975i | −0.0348117 | + | 0.0200986i | −0.517305 | − | 0.855801i | \(-0.673065\pi\) |
0.482493 | + | 0.875900i | \(0.339731\pi\) | |||||||
\(152\) | 0.750459 | − | 0.524863i | 0.0608703 | − | 0.0425720i | ||||
\(153\) | 0.691332 | + | 0.357344i | 0.0558909 | + | 0.0288896i | ||||
\(154\) | −17.3420 | + | 15.4274i | −1.39746 | + | 1.24317i | ||||
\(155\) | 21.8172 | + | 5.84590i | 1.75240 | + | 0.469554i | ||||
\(156\) | −2.93166 | + | 4.13216i | −0.234720 | + | 0.330838i | ||||
\(157\) | −13.8526 | + | 3.71179i | −1.10556 | + | 0.296233i | −0.765026 | − | 0.644000i | \(-0.777274\pi\) |
−0.340532 | + | 0.940233i | \(0.610607\pi\) | |||||||
\(158\) | −1.74389 | − | 1.14743i | −0.138736 | − | 0.0912847i | ||||
\(159\) | −2.60119 | + | 1.58360i | −0.206288 | + | 0.125588i | ||||
\(160\) | −10.1641 | + | 16.4448i | −0.803539 | + | 1.30007i | ||||
\(161\) | −9.46551 | −0.745987 | ||||||||
\(162\) | 11.2368 | + | 5.97775i | 0.882849 | + | 0.469656i | ||||
\(163\) | −11.4938 | − | 11.4938i | −0.900262 | − | 0.900262i | 0.0951968 | − | 0.995458i | \(-0.469652\pi\) |
−0.995458 | + | 0.0951968i | \(0.969652\pi\) | |||||||
\(164\) | 18.7743 | − | 8.09031i | 1.46603 | − | 0.631747i | ||||
\(165\) | −7.55267 | + | 31.0599i | −0.587975 | + | 2.41801i | ||||
\(166\) | −1.00310 | − | 4.86250i | −0.0778554 | − | 0.377403i | ||||
\(167\) | −12.6295 | − | 7.29166i | −0.977302 | − | 0.564245i | −0.0758473 | − | 0.997119i | \(-0.524166\pi\) |
−0.901454 | + | 0.432874i | \(0.857499\pi\) | |||||||
\(168\) | −1.63427 | − | 14.7995i | −0.126087 | − | 1.14180i | ||||
\(169\) | −9.40580 | + | 5.43044i | −0.723523 | + | 0.417726i | ||||
\(170\) | −0.833310 | − | 0.936728i | −0.0639120 | − | 0.0718438i | ||||
\(171\) | 0.294769 | + | 0.925535i | 0.0225416 | + | 0.0707774i | ||||
\(172\) | −4.37890 | + | 3.45978i | −0.333888 | + | 0.263806i | ||||
\(173\) | −3.96139 | + | 14.7841i | −0.301179 | + | 1.12402i | 0.635005 | + | 0.772508i | \(0.280998\pi\) |
−0.936185 | + | 0.351509i | \(0.885669\pi\) | |||||||
\(174\) | 0.145535 | − | 4.14506i | 0.0110330 | − | 0.314236i | ||||
\(175\) | 10.1502 | − | 17.5807i | 0.767283 | − | 1.32897i | ||||
\(176\) | −0.612446 | − | 21.5919i | −0.0461648 | − | 1.62755i | ||||
\(177\) | 0.0302571 | + | 1.30033i | 0.00227426 | + | 0.0977390i | ||||
\(178\) | −9.98971 | − | 19.9002i | −0.748760 | − | 1.49158i | ||||
\(179\) | −13.0007 | − | 13.0007i | −0.971722 | − | 0.971722i | 0.0278895 | − | 0.999611i | \(-0.491121\pi\) |
−0.999611 | + | 0.0278895i | \(0.991121\pi\) | |||||||
\(180\) | −13.4466 | − | 15.4804i | −1.00225 | − | 1.15384i | ||||
\(181\) | 12.7435 | − | 12.7435i | 0.947219 | − | 0.947219i | −0.0514563 | − | 0.998675i | \(-0.516386\pi\) |
0.998675 | + | 0.0514563i | \(0.0163863\pi\) | |||||||
\(182\) | −1.97846 | + | 5.96699i | −0.146653 | + | 0.442303i | ||||
\(183\) | 3.75176 | − | 6.86209i | 0.277338 | − | 0.507260i | ||||
\(184\) | 5.66589 | − | 6.74482i | 0.417695 | − | 0.497235i | ||||
\(185\) | −5.19593 | − | 2.99987i | −0.382013 | − | 0.220555i | ||||
\(186\) | 4.73616 | − | 15.4808i | 0.347272 | − | 1.13511i | ||||
\(187\) | 1.35311 | + | 0.362565i | 0.0989493 | + | 0.0265134i | ||||
\(188\) | −24.1641 | − | 2.83334i | −1.76235 | − | 0.206642i | ||||
\(189\) | 15.5024 | + | 3.01368i | 1.12763 | + | 0.219213i | ||||
\(190\) | 0.0912741 | − | 1.56219i | 0.00662172 | − | 0.113333i | ||||
\(191\) | 1.45841 | + | 2.52604i | 0.105527 | + | 0.182778i | 0.913953 | − | 0.405819i | \(-0.133014\pi\) |
−0.808426 | + | 0.588597i | \(0.799680\pi\) | |||||||
\(192\) | 11.5239 | + | 7.69417i | 0.831664 | + | 0.555279i | ||||
\(193\) | 1.33436 | − | 2.31118i | 0.0960494 | − | 0.166362i | −0.813997 | − | 0.580870i | \(-0.802713\pi\) |
0.910046 | + | 0.414507i | \(0.136046\pi\) | |||||||
\(194\) | 14.0433 | + | 9.24012i | 1.00825 | + | 0.663402i | ||||
\(195\) | 2.43462 | + | 8.30800i | 0.174347 | + | 0.594948i | ||||
\(196\) | −1.77079 | − | 4.10929i | −0.126485 | − | 0.293521i | ||||
\(197\) | 10.9442 | − | 10.9442i | 0.779739 | − | 0.779739i | −0.200048 | − | 0.979786i | \(-0.564110\pi\) |
0.979786 | + | 0.200048i | \(0.0641097\pi\) | |||||||
\(198\) | 22.0585 | + | 6.19119i | 1.56763 | + | 0.439989i | ||||
\(199\) | 4.55405i | 0.322828i | 0.986887 | + | 0.161414i | \(0.0516054\pi\) | ||||
−0.986887 | + | 0.161414i | \(0.948395\pi\) | |||||||
\(200\) | 6.45169 | + | 17.7562i | 0.456203 | + | 1.25555i | ||||
\(201\) | 2.75139 | − | 0.0640214i | 0.194068 | − | 0.00451572i | ||||
\(202\) | −10.3364 | + | 2.13232i | −0.727267 | + | 0.150030i | ||||
\(203\) | −1.33196 | − | 4.97094i | −0.0934852 | − | 0.348892i | ||||
\(204\) | −0.691943 | + | 0.573348i | −0.0484457 | + | 0.0401424i | ||||
\(205\) | 9.04120 | − | 33.7422i | 0.631465 | − | 2.35666i | ||||
\(206\) | 16.0255 | + | 0.936321i | 1.11655 | + | 0.0652365i | ||||
\(207\) | 5.04286 | + | 7.86536i | 0.350503 | + | 0.546680i | ||||
\(208\) | −3.06762 | − | 4.98152i | −0.212701 | − | 0.345406i | ||||
\(209\) | 0.874231 | + | 1.51421i | 0.0604718 | + | 0.104740i | ||||
\(210\) | −21.5738 | − | 13.4865i | −1.48873 | − | 0.930654i | ||||
\(211\) | −7.91903 | + | 2.12190i | −0.545168 | + | 0.146077i | −0.520884 | − | 0.853628i | \(-0.674397\pi\) |
−0.0242846 | + | 0.999705i | \(0.507731\pi\) | |||||||
\(212\) | −0.508370 | − | 3.47949i | −0.0349150 | − | 0.238973i | ||||
\(213\) | 1.91647 | − | 7.88137i | 0.131314 | − | 0.540022i | ||||
\(214\) | −4.29085 | + | 12.9411i | −0.293317 | + | 0.884638i | ||||
\(215\) | 9.53611i | 0.650357i | ||||||||
\(216\) | −11.4269 | + | 9.24259i | −0.777504 | + | 0.628879i | ||||
\(217\) | − | 20.0872i | − | 1.36361i | ||||||
\(218\) | −13.4448 | − | 4.45784i | −0.910595 | − | 0.301923i | ||||
\(219\) | 6.20443 | − | 25.5154i | 0.419257 | − | 1.72417i | ||||
\(220\) | −29.5983 | − | 22.0520i | −1.99552 | − | 1.48674i | ||||
\(221\) | 0.366476 | − | 0.0981968i | 0.0246518 | − | 0.00660543i | ||||
\(222\) | −2.27951 | + | 3.64644i | −0.152991 | + | 0.244733i | ||||
\(223\) | 1.97029 | + | 3.41265i | 0.131941 | + | 0.228528i | 0.924425 | − | 0.381365i | \(-0.124546\pi\) |
−0.792484 | + | 0.609893i | \(0.791213\pi\) | |||||||
\(224\) | 16.4660 | + | 4.94602i | 1.10018 | + | 0.330470i | ||||
\(225\) | −20.0163 | + | 0.932010i | −1.33442 | + | 0.0621340i | ||||
\(226\) | −0.531783 | + | 9.10168i | −0.0353737 | + | 0.605435i | ||||
\(227\) | −2.99331 | + | 11.1712i | −0.198673 | + | 0.741458i | 0.792612 | + | 0.609726i | \(0.208721\pi\) |
−0.991285 | + | 0.131732i | \(0.957946\pi\) | |||||||
\(228\) | −1.11671 | − | 0.104669i | −0.0739562 | − | 0.00693189i | ||||
\(229\) | 3.58349 | + | 13.3738i | 0.236804 | + | 0.883764i | 0.977327 | + | 0.211734i | \(0.0679109\pi\) |
−0.740524 | + | 0.672030i | \(0.765422\pi\) | |||||||
\(230\) | −3.04109 | − | 14.7416i | −0.200524 | − | 0.972035i | ||||
\(231\) | 28.4198 | − | 0.661293i | 1.86989 | − | 0.0435099i | ||||
\(232\) | 4.33942 | + | 2.02641i | 0.284897 | + | 0.133040i | ||||
\(233\) | − | 6.01983i | − | 0.394372i | −0.980366 | − | 0.197186i | \(-0.936820\pi\) | ||
0.980366 | − | 0.197186i | \(-0.0631803\pi\) | |||||||
\(234\) | 6.01231 | − | 1.53499i | 0.393037 | − | 0.100345i | ||||
\(235\) | −29.3967 | + | 29.3967i | −1.91763 | + | 1.91763i | ||||
\(236\) | −1.39558 | − | 0.555022i | −0.0908448 | − | 0.0361288i | ||||
\(237\) | 0.718987 | + | 2.45350i | 0.0467032 | + | 0.159372i | ||||
\(238\) | −0.612868 | + | 0.931450i | −0.0397263 | + | 0.0603769i | ||||
\(239\) | 7.92968 | − | 13.7346i | 0.512929 | − | 0.888418i | −0.486959 | − | 0.873425i | \(-0.661894\pi\) |
0.999888 | − | 0.0149936i | \(-0.00477279\pi\) | |||||||
\(240\) | 22.5237 | − | 7.30001i | 1.45390 | − | 0.471214i | ||||
\(241\) | −7.70313 | − | 13.3422i | −0.496202 | − | 0.859447i | 0.503788 | − | 0.863827i | \(-0.331939\pi\) |
−0.999990 | + | 0.00437981i | \(0.998606\pi\) | |||||||
\(242\) | 25.6407 | + | 1.49811i | 1.64824 | + | 0.0963019i | ||||
\(243\) | −5.75488 | − | 14.4873i | −0.369176 | − | 0.929360i | ||||
\(244\) | 5.59851 | + | 7.08580i | 0.358408 | + | 0.453622i | ||||
\(245\) | −7.38543 | − | 1.97892i | −0.471838 | − | 0.126429i | ||||
\(246\) | −23.9424 | − | 7.32489i | −1.52651 | − | 0.467018i | ||||
\(247\) | 0.410108 | + | 0.236776i | 0.0260946 | + | 0.0150657i | ||||
\(248\) | 14.3135 | + | 12.0238i | 0.908907 | + | 0.763514i | ||||
\(249\) | −2.91703 | + | 5.33535i | −0.184859 | + | 0.338114i | ||||
\(250\) | 7.70384 | + | 2.55434i | 0.487233 | + | 0.161551i | ||||
\(251\) | 2.60640 | − | 2.60640i | 0.164514 | − | 0.164514i | −0.620049 | − | 0.784563i | \(-0.712887\pi\) |
0.784563 | + | 0.620049i | \(0.212887\pi\) | |||||||
\(252\) | −10.2030 | + | 15.1143i | −0.642731 | + | 0.952109i | ||||
\(253\) | 11.8922 | + | 11.8922i | 0.747657 | + | 0.747657i | ||||
\(254\) | 17.9089 | − | 8.99006i | 1.12370 | − | 0.564087i | ||||
\(255\) | 0.0357198 | + | 1.53510i | 0.00223686 | + | 0.0961315i | ||||
\(256\) | −13.3807 | + | 8.77257i | −0.836291 | + | 0.548286i | ||||
\(257\) | 14.1100 | − | 24.4393i | 0.880160 | − | 1.52448i | 0.0289977 | − | 0.999579i | \(-0.490768\pi\) |
0.851162 | − | 0.524902i | \(-0.175898\pi\) | |||||||
\(258\) | 6.83079 | + | 0.239832i | 0.425266 | + | 0.0149313i | ||||
\(259\) | −1.38100 | + | 5.15395i | −0.0858110 | + | 0.320251i | ||||
\(260\) | −9.92866 | − | 1.16418i | −0.615749 | − | 0.0721992i | ||||
\(261\) | −3.42098 | + | 3.75512i | −0.211753 | + | 0.232436i | ||||
\(262\) | 9.53702 | − | 8.48410i | 0.589199 | − | 0.524150i | ||||
\(263\) | 5.17419 | − | 2.98732i | 0.319054 | − | 0.184206i | −0.331917 | − | 0.943309i | \(-0.607695\pi\) |
0.650971 | + | 0.759103i | \(0.274362\pi\) | |||||||
\(264\) | −16.5404 | + | 20.6469i | −1.01799 | + | 1.27073i | ||||
\(265\) | −5.20370 | − | 3.00436i | −0.319661 | − | 0.184556i | ||||
\(266\) | −1.36298 | + | 0.281172i | −0.0835694 | + | 0.0172398i | ||||
\(267\) | −6.44362 | + | 26.4990i | −0.394343 | + | 1.62172i | ||||
\(268\) | −1.17438 | + | 2.95294i | −0.0717366 | + | 0.180380i | ||||
\(269\) | −7.44878 | − | 7.44878i | −0.454160 | − | 0.454160i | 0.442573 | − | 0.896733i | \(-0.354066\pi\) |
−0.896733 | + | 0.442573i | \(0.854066\pi\) | |||||||
\(270\) | 0.287115 | + | 25.1118i | 0.0174733 | + | 1.52825i | ||||
\(271\) | 12.6471 | 0.768254 | 0.384127 | − | 0.923280i | \(-0.374502\pi\) | ||||
0.384127 | + | 0.923280i | \(0.374502\pi\) | |||||||
\(272\) | −0.296869 | − | 0.994260i | −0.0180003 | − | 0.0602859i | ||||
\(273\) | 6.57642 | − | 4.00371i | 0.398023 | − | 0.242315i | ||||
\(274\) | −7.61497 | + | 11.5734i | −0.460037 | + | 0.699174i | ||||
\(275\) | −34.8403 | + | 9.33542i | −2.10095 | + | 0.562947i | ||||
\(276\) | −10.6360 | + | 1.80760i | −0.640213 | + | 0.108805i | ||||
\(277\) | −22.8503 | − | 6.12271i | −1.37294 | − | 0.367878i | −0.504387 | − | 0.863477i | \(-0.668282\pi\) |
−0.868551 | + | 0.495600i | \(0.834948\pi\) | |||||||
\(278\) | −0.517953 | − | 0.582233i | −0.0310648 | − | 0.0349200i | ||||
\(279\) | −16.6914 | + | 10.7017i | −0.999289 | + | 0.640693i | ||||
\(280\) | 24.0745 | − | 16.8375i | 1.43873 | − | 1.00623i | ||||
\(281\) | 20.8897 | − | 12.0607i | 1.24618 | − | 0.719480i | 0.275832 | − | 0.961206i | \(-0.411047\pi\) |
0.970345 | + | 0.241726i | \(0.0777135\pi\) | |||||||
\(282\) | 20.3178 | + | 21.7964i | 1.20990 | + | 1.29796i | ||||
\(283\) | −0.548601 | − | 2.04741i | −0.0326110 | − | 0.121706i | 0.947702 | − | 0.319158i | \(-0.103400\pi\) |
−0.980313 | + | 0.197452i | \(0.936733\pi\) | |||||||
\(284\) | 7.51049 | + | 5.59562i | 0.445665 | + | 0.332039i | ||||
\(285\) | −1.32331 | + | 1.38636i | −0.0783863 | + | 0.0821211i | ||||
\(286\) | 9.98244 | − | 5.01108i | 0.590274 | − | 0.296312i | ||||
\(287\) | −31.0666 | −1.83380 | ||||||||
\(288\) | −4.66258 | − | 16.3175i | −0.274745 | − | 0.961517i | ||||
\(289\) | −16.9327 | −0.996042 | ||||||||
\(290\) | 7.31383 | − | 3.67147i | 0.429483 | − | 0.215596i | ||||
\(291\) | −5.78991 | − | 19.7578i | −0.339411 | − | 1.15822i | ||||
\(292\) | 24.3147 | + | 18.1154i | 1.42291 | + | 1.06013i | ||||
\(293\) | 0.531574 | + | 1.98386i | 0.0310549 | + | 0.115898i | 0.979713 | − | 0.200404i | \(-0.0642254\pi\) |
−0.948659 | + | 0.316302i | \(0.897559\pi\) | |||||||
\(294\) | −1.60326 | + | 5.24047i | −0.0935039 | + | 0.305630i | ||||
\(295\) | −2.22255 | + | 1.28319i | −0.129402 | + | 0.0747100i | ||||
\(296\) | −2.84590 | − | 4.06912i | −0.165415 | − | 0.236513i | ||||
\(297\) | −15.6905 | − | 23.2631i | −0.910455 | − | 1.34986i | ||||
\(298\) | 10.7541 | + | 12.0888i | 0.622971 | + | 0.700285i | ||||
\(299\) | 4.39980 | + | 1.17892i | 0.254447 | + | 0.0681788i | ||||
\(300\) | 8.04804 | − | 21.6930i | 0.464654 | − | 1.25245i | ||||
\(301\) | 8.19179 | − | 2.19498i | 0.472167 | − | 0.126517i | ||||
\(302\) | −0.383967 | + | 0.583561i | −0.0220948 | + | 0.0335802i | ||||
\(303\) | 11.3416 | + | 6.20086i | 0.651557 | + | 0.356230i | ||||
\(304\) | 0.615499 | − | 1.13952i | 0.0353013 | − | 0.0653558i | ||||
\(305\) | 15.4311 | 0.883580 | ||||||||
\(306\) | 1.10050 | + | 0.0130212i | 0.0629114 | + | 0.000744374i | ||||
\(307\) | 6.13676 | + | 6.13676i | 0.350243 | + | 0.350243i | 0.860200 | − | 0.509957i | \(-0.170339\pi\) |
−0.509957 | + | 0.860200i | \(0.670339\pi\) | |||||||
\(308\) | −12.1304 | + | 30.5016i | −0.691196 | + | 1.73799i | ||||
\(309\) | −14.2218 | − | 13.5750i | −0.809049 | − | 0.772254i | ||||
\(310\) | 31.2839 | − | 6.45363i | 1.77680 | − | 0.366542i | ||||
\(311\) | −19.1722 | − | 11.0691i | −1.08716 | − | 0.627670i | −0.154339 | − | 0.988018i | \(-0.549325\pi\) |
−0.932818 | + | 0.360348i | \(0.882658\pi\) | |||||||
\(312\) | −1.08361 | + | 7.08269i | −0.0613475 | + | 0.400979i | ||||
\(313\) | −3.88285 | + | 2.24176i | −0.219472 | + | 0.126712i | −0.605706 | − | 0.795689i | \(-0.707109\pi\) |
0.386234 | + | 0.922401i | \(0.373776\pi\) | |||||||
\(314\) | −15.1533 | + | 13.4804i | −0.855152 | + | 0.760741i | ||||
\(315\) | 9.45612 | + | 29.6909i | 0.532792 | + | 1.67289i | ||||
\(316\) | −2.93211 | − | 0.343802i | −0.164944 | − | 0.0193404i | ||||
\(317\) | 0.0167936 | − | 0.0626747i | 0.000943225 | − | 0.00352016i | −0.965453 | − | 0.260579i | \(-0.916087\pi\) |
0.966396 | + | 0.257059i | \(0.0827533\pi\) | |||||||
\(318\) | −2.28291 | + | 3.65189i | −0.128019 | + | 0.204788i | ||||
\(319\) | −4.57191 | + | 7.91879i | −0.255978 | + | 0.443367i | ||||
\(320\) | −2.41274 | + | 27.2333i | −0.134876 | + | 1.52239i | ||||
\(321\) | 14.2628 | − | 8.68319i | 0.796075 | − | 0.484648i | ||||
\(322\) | −11.9635 | + | 6.00555i | −0.666699 | + | 0.334676i | ||||
\(323\) | 0.0593909 | + | 0.0593909i | 0.00330460 | + | 0.00330460i | ||||
\(324\) | 17.9950 | + | 0.425896i | 0.999720 | + | 0.0236609i | ||||
\(325\) | −6.90771 | + | 6.90771i | −0.383171 | + | 0.383171i | ||||
\(326\) | −21.8194 | − | 7.23460i | −1.20847 | − | 0.400688i | ||||
\(327\) | 9.02112 | + | 14.8179i | 0.498869 | + | 0.819433i | ||||
\(328\) | 18.5959 | − | 22.1371i | 1.02679 | − | 1.22231i | ||||
\(329\) | 32.0190 | + | 18.4862i | 1.76527 | + | 1.01918i | ||||
\(330\) | 10.1606 | + | 44.0487i | 0.559325 | + | 2.42480i | ||||
\(331\) | 8.34869 | + | 2.23703i | 0.458886 | + | 0.122958i | 0.480854 | − | 0.876801i | \(-0.340327\pi\) |
−0.0219684 | + | 0.999759i | \(0.506993\pi\) | |||||||
\(332\) | −4.35291 | − | 5.50929i | −0.238897 | − | 0.302362i | ||||
\(333\) | 5.01841 | − | 1.59829i | 0.275007 | − | 0.0875858i | ||||
\(334\) | −20.5888 | − | 1.20294i | −1.12657 | − | 0.0658220i | ||||
\(335\) | 2.71512 | + | 4.70272i | 0.148343 | + | 0.256937i | ||||
\(336\) | −11.4553 | − | 17.6682i | −0.624939 | − | 0.963880i | ||||
\(337\) | 15.6738 | − | 27.1477i | 0.853804 | − | 1.47883i | −0.0239463 | − | 0.999713i | \(-0.507623\pi\) |
0.877750 | − | 0.479119i | \(-0.159044\pi\) | |||||||
\(338\) | −8.44259 | + | 12.8312i | −0.459216 | + | 0.697927i | ||||
\(339\) | 7.70992 | − | 8.07726i | 0.418745 | − | 0.438697i | ||||
\(340\) | −1.64755 | − | 0.655227i | −0.0893508 | − | 0.0355347i | ||||
\(341\) | −25.2370 | + | 25.2370i | −1.36666 | + | 1.36666i | ||||
\(342\) | 0.959781 | + | 0.982765i | 0.0518990 | + | 0.0531419i | ||||
\(343\) | − | 14.4753i | − | 0.781590i | ||||||
\(344\) | −3.33939 | + | 7.15109i | −0.180048 | + | 0.385561i | ||||
\(345\) | −8.84357 | + | 16.1752i | −0.476122 | + | 0.870844i | ||||
\(346\) | 4.37321 | + | 21.1991i | 0.235105 | + | 1.13967i | ||||
\(347\) | 0.660251 | + | 2.46409i | 0.0354441 | + | 0.132279i | 0.981381 | − | 0.192072i | \(-0.0615207\pi\) |
−0.945937 | + | 0.324351i | \(0.894854\pi\) | |||||||
\(348\) | −2.44596 | − | 5.33129i | −0.131117 | − | 0.285787i | ||||
\(349\) | 1.55060 | − | 5.78691i | 0.0830016 | − | 0.309766i | −0.911927 | − | 0.410353i | \(-0.865405\pi\) |
0.994928 | + | 0.100587i | \(0.0320721\pi\) | |||||||
\(350\) | 1.67453 | − | 28.6602i | 0.0895073 | − | 1.53195i | ||||
\(351\) | −6.83054 | − | 3.33164i | −0.364587 | − | 0.177830i | ||||
\(352\) | −14.4734 | − | 26.9015i | −0.771436 | − | 1.43386i | ||||
\(353\) | 0.129293 | + | 0.223941i | 0.00688155 | + | 0.0119192i | 0.869446 | − | 0.494029i | \(-0.164476\pi\) |
−0.862564 | + | 0.505948i | \(0.831143\pi\) | |||||||
\(354\) | 0.863260 | + | 1.62430i | 0.0458817 | + | 0.0863304i | ||||
\(355\) | 15.4585 | − | 4.14210i | 0.820453 | − | 0.219840i | ||||
\(356\) | −25.2521 | − | 18.8138i | −1.33836 | − | 0.997131i | ||||
\(357\) | 1.31047 | − | 0.384027i | 0.0693574 | − | 0.0203249i | ||||
\(358\) | −24.6802 | − | 8.18315i | −1.30439 | − | 0.432493i | ||||
\(359\) | 11.3079i | 0.596808i | 0.954440 | + | 0.298404i | \(0.0964543\pi\) | ||||
−0.954440 | + | 0.298404i | \(0.903546\pi\) | |||||||
\(360\) | −26.8171 | − | 11.0343i | −1.41338 | − | 0.581560i | ||||
\(361\) | − | 18.8952i | − | 0.994482i | ||||||
\(362\) | 8.02125 | − | 24.1919i | 0.421587 | − | 1.27150i | ||||
\(363\) | −22.7547 | − | 21.7199i | −1.19431 | − | 1.14000i | ||||
\(364\) | 1.28528 | + | 8.79697i | 0.0673669 | + | 0.461086i | ||||
\(365\) | 50.0459 | − | 13.4098i | 2.61952 | − | 0.701899i | ||||
\(366\) | 0.388090 | − | 11.0534i | 0.0202858 | − | 0.577770i | ||||
\(367\) | 14.0557 | + | 24.3452i | 0.733701 | + | 1.27081i | 0.955291 | + | 0.295667i | \(0.0955419\pi\) |
−0.221590 | + | 0.975140i | \(0.571125\pi\) | |||||||
\(368\) | 2.88177 | − | 12.1196i | 0.150223 | − | 0.631779i | ||||
\(369\) | 16.5511 | + | 25.8147i | 0.861615 | + | 1.34386i | ||||
\(370\) | −8.47048 | − | 0.494904i | −0.440359 | − | 0.0257288i | ||||
\(371\) | −1.38306 | + | 5.16165i | −0.0718049 | + | 0.267980i | ||||
\(372\) | −3.83600 | − | 22.5712i | −0.198887 | − | 1.17026i | ||||
\(373\) | 7.76720 | + | 28.9876i | 0.402170 | + | 1.50092i | 0.809215 | + | 0.587512i | \(0.199893\pi\) |
−0.407045 | + | 0.913408i | \(0.633441\pi\) | |||||||
\(374\) | 1.94024 | − | 0.400257i | 0.100327 | − | 0.0206968i | ||||
\(375\) | −5.16909 | − | 8.49065i | −0.266931 | − | 0.438455i | ||||
\(376\) | −32.3387 | + | 11.7502i | −1.66774 | + | 0.605972i | ||||
\(377\) | 2.47651i | 0.127547i | ||||||||
\(378\) | 21.5056 | − | 6.02676i | 1.10613 | − | 0.309983i | ||||
\(379\) | 22.9932 | − | 22.9932i | 1.18108 | − | 1.18108i | 0.201616 | − | 0.979465i | \(-0.435381\pi\) |
0.979465 | − | 0.201616i | \(-0.0646194\pi\) | |||||||
\(380\) | −0.875797 | − | 2.03237i | −0.0449274 | − | 0.104258i | ||||
\(381\) | −23.8473 | − | 5.79883i | −1.22174 | − | 0.297083i | ||||
\(382\) | 3.44598 | + | 2.26736i | 0.176312 | + | 0.116008i | ||||
\(383\) | 1.35411 | − | 2.34539i | 0.0691919 | − | 0.119844i | −0.829354 | − | 0.558724i | \(-0.811291\pi\) |
0.898546 | + | 0.438880i | \(0.144625\pi\) | |||||||
\(384\) | 19.4468 | + | 2.41318i | 0.992388 | + | 0.123147i | ||||
\(385\) | 28.0451 | + | 48.5755i | 1.42931 | + | 2.47564i | ||||
\(386\) | 0.220136 | − | 3.76772i | 0.0112046 | − | 0.191772i | ||||
\(387\) | −6.18819 | − | 5.63756i | −0.314564 | − | 0.286573i | ||||
\(388\) | 23.6119 | + | 2.76860i | 1.19871 | + | 0.140554i | ||||
\(389\) | −13.3312 | − | 3.57208i | −0.675918 | − | 0.181112i | −0.0954990 | − | 0.995430i | \(-0.530445\pi\) |
−0.580419 | + | 0.814318i | \(0.697111\pi\) | |||||||
\(390\) | 8.34827 | + | 8.95583i | 0.422731 | + | 0.453496i | ||||
\(391\) | 0.699659 | + | 0.403948i | 0.0353833 | + | 0.0204285i | ||||
\(392\) | −4.84532 | − | 4.07024i | −0.244725 | − | 0.205578i | ||||
\(393\) | −15.6291 | + | 0.363670i | −0.788386 | + | 0.0183447i | ||||
\(394\) | 6.88865 | − | 20.7761i | 0.347045 | − | 1.04668i | ||||
\(395\) | −3.56705 | + | 3.56705i | −0.179478 | + | 0.179478i | ||||
\(396\) | 31.8079 | − | 6.17033i | 1.59841 | − | 0.310071i | ||||
\(397\) | −2.91803 | − | 2.91803i | −0.146452 | − | 0.146452i | 0.630079 | − | 0.776531i | \(-0.283022\pi\) |
−0.776531 | + | 0.630079i | \(0.783022\pi\) | |||||||
\(398\) | 2.88939 | + | 5.75588i | 0.144832 | + | 0.288516i | ||||
\(399\) | 1.49552 | + | 0.817656i | 0.0748697 | + | 0.0409340i | ||||
\(400\) | 19.4200 | + | 18.3487i | 0.971001 | + | 0.917436i | ||||
\(401\) | −6.93768 | + | 12.0164i | −0.346451 | + | 0.600071i | −0.985616 | − | 0.168999i | \(-0.945947\pi\) |
0.639165 | + | 0.769069i | \(0.279280\pi\) | |||||||
\(402\) | 3.43688 | − | 1.82658i | 0.171416 | − | 0.0911018i | ||||
\(403\) | −2.50184 | + | 9.33700i | −0.124626 | + | 0.465109i | ||||
\(404\) | −11.7113 | + | 9.25315i | −0.582660 | + | 0.460362i | ||||
\(405\) | 19.6338 | − | 23.6757i | 0.975609 | − | 1.17646i | ||||
\(406\) | −4.83736 | − | 5.43770i | −0.240074 | − | 0.269869i | ||||
\(407\) | 8.21033 | − | 4.74024i | 0.406971 | − | 0.234965i | ||||
\(408\) | −0.510779 | + | 1.16367i | −0.0252873 | + | 0.0576103i | ||||
\(409\) | −15.7740 | − | 9.10712i | −0.779974 | − | 0.450318i | 0.0564472 | − | 0.998406i | \(-0.482023\pi\) |
−0.836421 | + | 0.548087i | \(0.815356\pi\) | |||||||
\(410\) | −9.98110 | − | 48.3832i | −0.492932 | − | 2.38948i | ||||
\(411\) | 16.2828 | − | 4.77159i | 0.803170 | − | 0.235365i | ||||
\(412\) | 20.8487 | − | 8.98422i | 1.02714 | − | 0.442621i | ||||
\(413\) | 1.61387 | + | 1.61387i | 0.0794134 | + | 0.0794134i | ||||
\(414\) | 11.3640 | + | 6.74152i | 0.558510 | + | 0.331328i | ||||
\(415\) | −11.9978 | −0.588950 | ||||||||
\(416\) | −7.03778 | − | 4.34986i | −0.345056 | − | 0.213270i | ||||
\(417\) | 0.0222020 | + | 0.954156i | 0.00108724 | + | 0.0467252i | ||||
\(418\) | 2.06566 | + | 1.35915i | 0.101035 | + | 0.0664781i | ||||
\(419\) | −2.64525 | + | 0.708792i | −0.129229 | + | 0.0346268i | −0.322854 | − | 0.946449i | \(-0.604642\pi\) |
0.193625 | + | 0.981076i | \(0.437976\pi\) | |||||||
\(420\) | −35.8239 | − | 3.35776i | −1.74803 | − | 0.163842i | ||||
\(421\) | 20.8110 | + | 5.57629i | 1.01427 | + | 0.271772i | 0.727411 | − | 0.686202i | \(-0.240724\pi\) |
0.286855 | + | 0.957974i | \(0.407390\pi\) | |||||||
\(422\) | −8.66261 | + | 7.70623i | −0.421689 | + | 0.375133i | ||||
\(423\) | −1.69744 | − | 36.4549i | −0.0825322 | − | 1.77250i | ||||
\(424\) | −2.85015 | − | 4.07520i | −0.138416 | − | 0.197909i | ||||
\(425\) | −1.50054 | + | 0.866336i | −0.0727867 | + | 0.0420234i | ||||
\(426\) | −2.57823 | − | 11.1772i | −0.124916 | − | 0.541538i | ||||
\(427\) | −3.55186 | − | 13.2557i | −0.171887 | − | 0.641489i | ||||
\(428\) | 2.78749 | + | 19.0788i | 0.134739 | + | 0.922206i | ||||
\(429\) | −13.2926 | − | 3.23228i | −0.641771 | − | 0.156056i | ||||
\(430\) | 6.05035 | + | 12.0527i | 0.291774 | + | 0.581234i | ||||
\(431\) | 17.4155 | 0.838873 | 0.419436 | − | 0.907785i | \(-0.362228\pi\) | ||||
0.419436 | + | 0.907785i | \(0.362228\pi\) | |||||||
\(432\) | −8.57841 | + | 18.9317i | −0.412729 | + | 0.910854i | ||||
\(433\) | −27.7567 | −1.33390 | −0.666952 | − | 0.745101i | \(-0.732401\pi\) | ||||
−0.666952 | + | 0.745101i | \(0.732401\pi\) | |||||||
\(434\) | −12.7446 | − | 25.3883i | −0.611762 | − | 1.21868i | ||||
\(435\) | −9.73906 | − | 2.36819i | −0.466952 | − | 0.113546i | ||||
\(436\) | −19.8213 | + | 2.89598i | −0.949266 | + | 0.138692i | ||||
\(437\) | 0.260987 | + | 0.974016i | 0.0124847 | + | 0.0465935i | ||||
\(438\) | −8.34686 | − | 36.1855i | −0.398828 | − | 1.72901i | ||||
\(439\) | −34.3074 | + | 19.8074i | −1.63740 | + | 0.945354i | −0.655677 | + | 0.755042i | \(0.727617\pi\) |
−0.981724 | + | 0.190312i | \(0.939050\pi\) | |||||||
\(440\) | −51.4007 | − | 9.09242i | −2.45043 | − | 0.433464i | ||||
\(441\) | 5.65028 | − | 3.62267i | 0.269061 | − | 0.172508i | ||||
\(442\) | 0.400887 | − | 0.356628i | 0.0190683 | − | 0.0169631i | ||||
\(443\) | −22.6154 | − | 6.05978i | −1.07449 | − | 0.287909i | −0.322154 | − | 0.946687i | \(-0.604407\pi\) |
−0.752337 | + | 0.658779i | \(0.771073\pi\) | |||||||
\(444\) | −0.567535 | + | 6.05502i | −0.0269340 | + | 0.287358i | ||||
\(445\) | −51.9752 | + | 13.9267i | −2.46386 | + | 0.660190i | ||||
\(446\) | 4.65547 | + | 3.06317i | 0.220443 | + | 0.145045i | ||||
\(447\) | −0.460975 | − | 19.8109i | −0.0218034 | − | 0.937025i | ||||
\(448\) | 23.9496 | − | 4.19585i | 1.13151 | − | 0.198235i | ||||
\(449\) | −1.41103 | −0.0665906 | −0.0332953 | − | 0.999446i | \(-0.510600\pi\) | ||||
−0.0332953 | + | 0.999446i | \(0.510600\pi\) | |||||||
\(450\) | −24.7073 | + | 13.8776i | −1.16471 | + | 0.654197i | ||||
\(451\) | 39.0312 | + | 39.0312i | 1.83791 | + | 1.83791i | ||||
\(452\) | 5.10259 | + | 11.8410i | 0.240006 | + | 0.556956i | ||||
\(453\) | 0.821021 | − | 0.240596i | 0.0385749 | − | 0.0113042i | ||||
\(454\) | 3.30449 | + | 16.0185i | 0.155087 | + | 0.751784i | ||||
\(455\) | 13.1562 | + | 7.59571i | 0.616770 | + | 0.356092i | ||||
\(456\) | −1.47783 | + | 0.576226i | −0.0692056 | + | 0.0269842i | ||||
\(457\) | 21.3692 | − | 12.3375i | 0.999609 | − | 0.577124i | 0.0914761 | − | 0.995807i | \(-0.470841\pi\) |
0.908132 | + | 0.418683i | \(0.137508\pi\) | |||||||
\(458\) | 13.0144 | + | 14.6296i | 0.608123 | + | 0.683594i | ||||
\(459\) | −1.01728 | − | 0.884339i | −0.0474823 | − | 0.0412774i | ||||
\(460\) | −13.1967 | − | 16.7025i | −0.615300 | − | 0.778760i | ||||
\(461\) | −8.53806 | + | 31.8645i | −0.397657 | + | 1.48408i | 0.419549 | + | 0.907733i | \(0.362188\pi\) |
−0.817207 | + | 0.576345i | \(0.804479\pi\) | |||||||
\(462\) | 35.5003 | − | 18.8672i | 1.65162 | − | 0.877783i | ||||
\(463\) | −14.0805 | + | 24.3881i | −0.654376 | + | 1.13341i | 0.327674 | + | 0.944791i | \(0.393735\pi\) |
−0.982050 | + | 0.188621i | \(0.939598\pi\) | |||||||
\(464\) | 6.77030 | − | 0.192037i | 0.314303 | − | 0.00891508i | ||||
\(465\) | −34.3261 | − | 18.7673i | −1.59183 | − | 0.870314i | ||||
\(466\) | −3.81938 | − | 7.60848i | −0.176929 | − | 0.352456i | ||||
\(467\) | 26.3173 | + | 26.3173i | 1.21782 | + | 1.21782i | 0.968394 | + | 0.249427i | \(0.0802423\pi\) |
0.249427 | + | 0.968394i | \(0.419758\pi\) | |||||||
\(468\) | 6.62508 | − | 5.75469i | 0.306245 | − | 0.266011i | ||||
\(469\) | 3.41481 | − | 3.41481i | 0.157681 | − | 0.157681i | ||||
\(470\) | −18.5034 | + | 55.8058i | −0.853497 | + | 2.57413i | ||||
\(471\) | 24.8331 | − | 0.577834i | 1.14425 | − | 0.0266252i | ||||
\(472\) | −2.11603 | + | 0.183958i | −0.0973981 | + | 0.00846736i | ||||
\(473\) | −13.0497 | − | 7.53422i | −0.600024 | − | 0.346424i | ||||
\(474\) | 2.46539 | + | 2.64482i | 0.113239 | + | 0.121480i | ||||
\(475\) | −2.08894 | − | 0.559730i | −0.0958472 | − | 0.0256822i | ||||
\(476\) | −0.183633 | + | 1.56611i | −0.00841678 | + | 0.0717824i | ||||
\(477\) | 5.02591 | − | 1.60068i | 0.230121 | − | 0.0732901i | ||||
\(478\) | 1.30820 | − | 22.3903i | 0.0598357 | − | 1.02411i | ||||
\(479\) | 1.55507 | + | 2.69347i | 0.0710531 | + | 0.123068i | 0.899363 | − | 0.437202i | \(-0.144031\pi\) |
−0.828310 | + | 0.560270i | \(0.810697\pi\) | |||||||
\(480\) | 23.8362 | − | 23.5170i | 1.08797 | − | 1.07340i | ||||
\(481\) | 1.28384 | − | 2.22368i | 0.0585381 | − | 0.101391i | ||||
\(482\) | −18.2012 | − | 11.9759i | −0.829042 | − | 0.545487i | ||||
\(483\) | 15.9305 | + | 3.87374i | 0.724864 | + | 0.176261i | ||||
\(484\) | 33.3578 | − | 14.3747i | 1.51626 | − | 0.653395i | ||||
\(485\) | 28.7250 | − | 28.7250i | 1.30434 | − | 1.30434i | ||||
\(486\) | −16.4653 | − | 14.6592i | −0.746882 | − | 0.664957i | ||||
\(487\) | 33.0078i | 1.49572i | 0.663854 | + | 0.747862i | \(0.268920\pi\) | ||||
−0.663854 | + | 0.747862i | \(0.731080\pi\) | |||||||
\(488\) | 11.5717 | + | 5.40370i | 0.523826 | + | 0.244614i | ||||
\(489\) | 14.6403 | + | 24.0479i | 0.662058 | + | 1.08748i | ||||
\(490\) | −10.5900 | + | 2.18464i | −0.478409 | + | 0.0986922i | ||||
\(491\) | 5.35669 | + | 19.9915i | 0.241744 | + | 0.902202i | 0.974992 | + | 0.222240i | \(0.0713369\pi\) |
−0.733248 | + | 0.679962i | \(0.761996\pi\) | |||||||
\(492\) | −34.9083 | + | 5.93270i | −1.57379 | + | 0.267467i | ||||
\(493\) | −0.113685 | + | 0.424278i | −0.00512011 | + | 0.0191085i | ||||
\(494\) | 0.668564 | + | 0.0390621i | 0.0300801 | + | 0.00175749i | ||||
\(495\) | 25.4224 | − | 49.1832i | 1.14265 | − | 2.21062i | ||||
\(496\) | 25.7196 | + | 6.11554i | 1.15484 | + | 0.274596i | ||||
\(497\) | −7.11636 | − | 12.3259i | −0.319212 | − | 0.552892i | ||||
\(498\) | −0.301744 | + | 8.59413i | −0.0135215 | + | 0.385112i | ||||
\(499\) | −35.0072 | + | 9.38014i | −1.56714 | + | 0.419913i | −0.934914 | − | 0.354875i | \(-0.884524\pi\) |
−0.632222 | + | 0.774787i | \(0.717857\pi\) | |||||||
\(500\) | 11.3575 | − | 1.65939i | 0.507925 | − | 0.0742102i | ||||
\(501\) | 18.2715 | + | 17.4405i | 0.816310 | + | 0.779185i | ||||
\(502\) | 1.64056 | − | 4.94791i | 0.0732219 | − | 0.220836i | ||||
\(503\) | − | 37.1847i | − | 1.65798i | −0.559261 | − | 0.828992i | \(-0.688915\pi\) | ||
0.559261 | − | 0.828992i | \(-0.311085\pi\) | |||||||
\(504\) | −3.30615 | + | 25.5764i | −0.147268 | + | 1.13927i | ||||
\(505\) | 25.5043i | 1.13493i | ||||||||
\(506\) | 22.5758 | + | 7.48539i | 1.00362 | + | 0.332766i | ||||
\(507\) | 18.0524 | − | 5.29018i | 0.801737 | − | 0.234945i | ||||
\(508\) | 16.9312 | − | 22.7251i | 0.751199 | − | 1.00827i | ||||
\(509\) | 10.6662 | − | 2.85800i | 0.472771 | − | 0.126679i | −0.0145635 | − | 0.999894i | \(-0.504636\pi\) |
0.487335 | + | 0.873215i | \(0.337969\pi\) | |||||||
\(510\) | 1.01911 | + | 1.91755i | 0.0451271 | + | 0.0849106i | ||||
\(511\) | −23.0387 | − | 39.9042i | −1.01917 | − | 1.76526i | ||||
\(512\) | −11.3460 | + | 19.5773i | −0.501425 | + | 0.865201i | ||||
\(513\) | −0.117326 | − | 1.67832i | −0.00518008 | − | 0.0740995i | ||||
\(514\) | 2.32780 | − | 39.8413i | 0.102675 | − | 1.75732i | ||||
\(515\) | 10.0402 | − | 37.4704i | 0.442423 | − | 1.65115i | ||||
\(516\) | 8.78562 | − | 4.03078i | 0.386765 | − | 0.177445i | ||||
\(517\) | −17.0023 | − | 63.4534i | −0.747759 | − | 2.79068i | ||||
\(518\) | 1.52456 | + | 7.39029i | 0.0669855 | + | 0.324711i | ||||
\(519\) | 12.7174 | − | 23.2606i | 0.558233 | − | 1.02103i | ||||
\(520\) | −13.2875 | + | 4.82800i | −0.582695 | + | 0.211722i | ||||
\(521\) | 38.7570i | 1.69797i | 0.528413 | + | 0.848987i | \(0.322787\pi\) | ||||
−0.528413 | + | 0.848987i | \(0.677213\pi\) | |||||||
\(522\) | −1.94129 | + | 6.91660i | −0.0849680 | + | 0.302731i | ||||
\(523\) | −11.9219 | + | 11.9219i | −0.521310 | + | 0.521310i | −0.917967 | − | 0.396657i | \(-0.870170\pi\) |
0.396657 | + | 0.917967i | \(0.370170\pi\) | |||||||
\(524\) | 6.67100 | − | 16.7740i | 0.291424 | − | 0.732776i | ||||
\(525\) | −24.2777 | + | 25.4344i | −1.05957 | + | 1.11005i | ||||
\(526\) | 4.64432 | − | 7.05853i | 0.202502 | − | 0.307767i | ||||
\(527\) | −0.857236 | + | 1.48478i | −0.0373418 | + | 0.0646779i | ||||
\(528\) | −7.80569 | + | 36.5900i | −0.339699 | + | 1.59238i | ||||
\(529\) | −6.65032 | − | 11.5187i | −0.289144 | − | 0.500812i | ||||
\(530\) | −8.48313 | − | 0.495644i | −0.368484 | − | 0.0215294i | ||||
\(531\) | 0.481235 | − | 2.20085i | 0.0208838 | − | 0.0955089i | ||||
\(532\) | −1.54428 | + | 1.22014i | −0.0669528 | + | 0.0528996i | ||||
\(533\) | 14.4405 | + | 3.86932i | 0.625487 | + | 0.167599i | ||||
\(534\) | 8.66864 | + | 37.5805i | 0.375129 | + | 1.62627i | ||||
\(535\) | 28.5329 | + | 16.4735i | 1.23358 | + | 0.712210i | ||||
\(536\) | 0.389240 | + | 4.47734i | 0.0168126 | + | 0.193391i | ||||
\(537\) | 16.5598 | + | 27.2009i | 0.714610 | + | 1.17381i | ||||
\(538\) | −14.1405 | − | 4.68854i | −0.609642 | − | 0.202137i | ||||
\(539\) | 8.54307 | − | 8.54307i | 0.367976 | − | 0.367976i | ||||
\(540\) | 16.2955 | + | 31.5567i | 0.701245 | + | 1.35798i | ||||
\(541\) | 15.9175 | + | 15.9175i | 0.684346 | + | 0.684346i | 0.960976 | − | 0.276630i | \(-0.0892177\pi\) |
−0.276630 | + | 0.960976i | \(0.589218\pi\) | |||||||
\(542\) | 15.9847 | − | 8.02414i | 0.686600 | − | 0.344666i | ||||
\(543\) | −26.6627 | + | 16.2322i | −1.14421 | + | 0.696590i | ||||
\(544\) | −1.00604 | − | 1.06829i | −0.0431336 | − | 0.0458028i | ||||
\(545\) | −17.1146 | + | 29.6433i | −0.733108 | + | 1.26978i | ||||
\(546\) | 5.77174 | − | 9.23282i | 0.247008 | − | 0.395128i | ||||
\(547\) | 4.14859 | − | 15.4827i | 0.177381 | − | 0.661994i | −0.818753 | − | 0.574146i | \(-0.805334\pi\) |
0.996134 | − | 0.0878483i | \(-0.0279991\pi\) | |||||||
\(548\) | −2.28166 | + | 19.4591i | −0.0974677 | + | 0.831251i | ||||
\(549\) | −9.12253 | + | 10.0136i | −0.389340 | + | 0.427368i | ||||
\(550\) | −38.1117 | + | 33.9041i | −1.62509 | + | 1.44567i | ||||
\(551\) | −0.474792 | + | 0.274121i | −0.0202268 | + | 0.0116780i | ||||
\(552\) | −12.2960 | + | 9.03284i | −0.523354 | + | 0.384463i | ||||
\(553\) | 3.88525 | + | 2.24315i | 0.165218 | + | 0.0953884i | ||||
\(554\) | −32.7652 | + | 6.75921i | −1.39206 | + | 0.287171i | ||||
\(555\) | 7.51711 | + | 7.17523i | 0.319083 | + | 0.304572i | ||||
\(556\) | −1.02405 | − | 0.407263i | −0.0434294 | − | 0.0172718i | ||||
\(557\) | 0.878593 | + | 0.878593i | 0.0372272 | + | 0.0372272i | 0.725475 | − | 0.688248i | \(-0.241620\pi\) |
−0.688248 | + | 0.725475i | \(0.741620\pi\) | |||||||
\(558\) | −14.3065 | + | 24.1160i | −0.605641 | + | 1.02091i | ||||
\(559\) | −4.08112 | −0.172613 | ||||||||
\(560\) | 19.7450 | − | 36.5554i | 0.834380 | − | 1.54475i | ||||
\(561\) | −2.12892 | − | 1.16396i | −0.0898830 | − | 0.0491423i | ||||
\(562\) | 18.7505 | − | 28.4974i | 0.790942 | − | 1.20209i | ||||
\(563\) | 18.2135 | − | 4.88030i | 0.767609 | − | 0.205680i | 0.146294 | − | 0.989241i | \(-0.453265\pi\) |
0.621315 | + | 0.783561i | \(0.286599\pi\) | |||||||
\(564\) | 39.5088 | + | 14.6576i | 1.66362 | + | 0.617197i | ||||
\(565\) | 21.2813 | + | 5.70232i | 0.895313 | + | 0.239898i | ||||
\(566\) | −1.99239 | − | 2.23966i | −0.0837464 | − | 0.0941398i | ||||
\(567\) | −24.8573 | − | 11.4164i | −1.04391 | − | 0.479442i | ||||
\(568\) | 13.0428 | + | 2.30717i | 0.547262 | + | 0.0968068i | ||||
\(569\) | −23.9512 | + | 13.8282i | −1.00409 | + | 0.579710i | −0.909455 | − | 0.415803i | \(-0.863501\pi\) |
−0.0946316 | + | 0.995512i | \(0.530167\pi\) | |||||||
\(570\) | −0.792938 | + | 2.59183i | −0.0332125 | + | 0.108560i | ||||
\(571\) | −6.69509 | − | 24.9864i | −0.280181 | − | 1.04565i | −0.952289 | − | 0.305197i | \(-0.901278\pi\) |
0.672108 | − | 0.740453i | \(-0.265389\pi\) | |||||||
\(572\) | 9.43748 | − | 12.6671i | 0.394601 | − | 0.529636i | ||||
\(573\) | −1.42074 | − | 4.84820i | −0.0593524 | − | 0.202537i | ||||
\(574\) | −39.2652 | + | 19.7107i | −1.63890 | + | 0.822709i | ||||
\(575\) | −20.8019 | −0.867501 | ||||||||
\(576\) | −16.2460 | − | 17.6655i | −0.676915 | − | 0.736061i | ||||
\(577\) | −13.3014 | −0.553744 | −0.276872 | − | 0.960907i | \(-0.589298\pi\) | ||||
−0.276872 | + | 0.960907i | \(0.589298\pi\) | |||||||
\(578\) | −21.4013 | + | 10.7432i | −0.890177 | + | 0.446860i | ||||
\(579\) | −3.19159 | + | 3.34365i | −0.132638 | + | 0.138957i | ||||
\(580\) | 6.91455 | − | 9.28076i | 0.287111 | − | 0.385363i | ||||
\(581\) | 2.76161 | + | 10.3065i | 0.114571 | + | 0.427585i | ||||
\(582\) | −19.8535 | − | 21.2984i | −0.822955 | − | 0.882847i | ||||
\(583\) | 8.22260 | − | 4.74732i | 0.340545 | − | 0.196614i | ||||
\(584\) | 42.2251 | + | 7.46932i | 1.74729 | + | 0.309083i | ||||
\(585\) | −0.697452 | − | 14.9788i | −0.0288361 | − | 0.619297i | ||||
\(586\) | 1.93055 | + | 2.17014i | 0.0797503 | + | 0.0896477i | ||||
\(587\) | −32.2988 | − | 8.65445i | −1.33312 | − | 0.357207i | −0.479240 | − | 0.877684i | \(-0.659088\pi\) |
−0.853876 | + | 0.520477i | \(0.825754\pi\) | |||||||
\(588\) | 1.29854 | + | 7.64066i | 0.0535508 | + | 0.315095i | ||||
\(589\) | −2.06700 | + | 0.553851i | −0.0851693 | + | 0.0228211i | ||||
\(590\) | −1.99494 | + | 3.03196i | −0.0821305 | + | 0.124824i | ||||
\(591\) | −22.8980 | + | 13.9402i | −0.941896 | + | 0.573424i | ||||
\(592\) | −6.17867 | − | 3.33735i | −0.253942 | − | 0.137164i | ||||
\(593\) | 25.3926 | 1.04275 | 0.521374 | − | 0.853328i | \(-0.325420\pi\) | ||||
0.521374 | + | 0.853328i | \(0.325420\pi\) | |||||||
\(594\) | −34.5909 | − | 19.4472i | −1.41928 | − | 0.797929i | ||||
\(595\) | 1.90524 | + | 1.90524i | 0.0781073 | + | 0.0781073i | ||||
\(596\) | 21.2621 | + | 8.45591i | 0.870931 | + | 0.346368i | ||||
\(597\) | 1.86373 | − | 7.66450i | 0.0762775 | − | 0.313687i | ||||
\(598\) | 6.30891 | − | 1.30148i | 0.257990 | − | 0.0532215i | ||||
\(599\) | 4.74083 | + | 2.73712i | 0.193705 | + | 0.111836i | 0.593716 | − | 0.804675i | \(-0.297660\pi\) |
−0.400011 | + | 0.916510i | \(0.630994\pi\) | |||||||
\(600\) | −3.59157 | − | 32.5241i | −0.146625 | − | 1.32779i | ||||
\(601\) | −2.04493 | + | 1.18064i | −0.0834143 | + | 0.0481593i | −0.541127 | − | 0.840941i | \(-0.682002\pi\) |
0.457713 | + | 0.889100i | \(0.348669\pi\) | |||||||
\(602\) | 8.96099 | − | 7.97167i | 0.365223 | − | 0.324901i | ||||
\(603\) | −4.65682 | − | 1.01825i | −0.189640 | − | 0.0414665i | ||||
\(604\) | −0.115047 | + | 0.981179i | −0.00468121 | + | 0.0399236i | ||||
\(605\) | 16.0642 | − | 59.9524i | 0.653103 | − | 2.43741i | ||||
\(606\) | 18.2689 | + | 0.641430i | 0.742123 | + | 0.0260563i | ||||
\(607\) | −2.67439 | + | 4.63219i | −0.108550 | + | 0.188015i | −0.915183 | − | 0.403038i | \(-0.867954\pi\) |
0.806633 | + | 0.591053i | \(0.201288\pi\) | |||||||
\(608\) | 0.0549457 | − | 1.83075i | 0.00222834 | − | 0.0742469i | ||||
\(609\) | 0.207353 | + | 8.91123i | 0.00840237 | + | 0.361101i | ||||
\(610\) | 19.5034 | − | 9.79050i | 0.789669 | − | 0.396406i | ||||
\(611\) | −12.5808 | − | 12.5808i | −0.508963 | − | 0.508963i | ||||
\(612\) | 1.39919 | − | 0.681773i | 0.0565588 | − | 0.0275590i | ||||
\(613\) | −0.799430 | + | 0.799430i | −0.0322887 | + | 0.0322887i | −0.723067 | − | 0.690778i | \(-0.757268\pi\) |
0.690778 | + | 0.723067i | \(0.257268\pi\) | |||||||
\(614\) | 11.6498 | + | 3.86270i | 0.470149 | + | 0.155886i | ||||
\(615\) | −29.0253 | + | 53.0883i | −1.17041 | + | 2.14073i | ||||
\(616\) | 4.02055 | + | 46.2475i | 0.161993 | + | 1.86336i | ||||
\(617\) | −19.2117 | − | 11.0919i | −0.773432 | − | 0.446541i | 0.0606655 | − | 0.998158i | \(-0.480678\pi\) |
−0.834098 | + | 0.551617i | \(0.814011\pi\) | |||||||
\(618\) | −26.5878 | − | 8.13423i | −1.06952 | − | 0.327207i | ||||
\(619\) | 42.8691 | + | 11.4867i | 1.72305 | + | 0.461691i | 0.978564 | − | 0.205943i | \(-0.0660262\pi\) |
0.744490 | + | 0.667634i | \(0.232693\pi\) | |||||||
\(620\) | 35.4452 | − | 28.0053i | 1.42351 | − | 1.12472i | ||||
\(621\) | −5.26830 | − | 15.3012i | −0.211410 | − | 0.614018i | ||||
\(622\) | −31.2548 | − | 1.82612i | −1.25320 | − | 0.0732208i | ||||
\(623\) | 23.9269 | + | 41.4426i | 0.958611 | + | 1.66036i | ||||
\(624\) | 3.12415 | + | 9.63936i | 0.125066 | + | 0.385883i | ||||
\(625\) | −6.89166 | + | 11.9367i | −0.275666 | + | 0.477468i | ||||
\(626\) | −3.48522 | + | 5.29691i | −0.139298 | + | 0.211707i | ||||
\(627\) | −0.851650 | − | 2.90621i | −0.0340116 | − | 0.116063i | ||||
\(628\) | −10.5995 | + | 26.6522i | −0.422967 | + | 1.06354i | ||||
\(629\) | 0.322028 | − | 0.322028i | 0.0128401 | − | 0.0128401i | ||||
\(630\) | 30.7895 | + | 31.5268i | 1.22668 | + | 1.25606i | ||||
\(631\) | − | 12.0156i | − | 0.478334i | −0.970978 | − | 0.239167i | \(-0.923126\pi\) | ||
0.970978 | − | 0.239167i | \(-0.0768744\pi\) | |||||||
\(632\) | −3.92404 | + | 1.42579i | −0.156090 | + | 0.0567151i | ||||
\(633\) | 14.1962 | − | 0.330327i | 0.564247 | − | 0.0131293i | ||||
\(634\) | −0.0185395 | − | 0.0898698i | −0.000736297 | − | 0.00356919i | ||||
\(635\) | −12.5331 | − | 46.7742i | −0.497361 | − | 1.85618i | ||||
\(636\) | −0.568383 | + | 6.06407i | −0.0225379 | + | 0.240456i | ||||
\(637\) | 0.846909 | − | 3.16071i | 0.0335557 | − | 0.125232i | ||||
\(638\) | −0.754251 | + | 12.9093i | −0.0298611 | + | 0.511084i | ||||
\(639\) | −6.45086 | + | 12.4801i | −0.255192 | + | 0.493705i | ||||
\(640\) | 14.2292 | + | 35.9511i | 0.562458 | + | 1.42109i | ||||
\(641\) | −8.47322 | − | 14.6760i | −0.334672 | − | 0.579669i | 0.648750 | − | 0.761002i | \(-0.275292\pi\) |
−0.983422 | + | 0.181333i | \(0.941959\pi\) | |||||||
\(642\) | 12.5177 | − | 20.0240i | 0.494033 | − | 0.790285i | ||||
\(643\) | 22.2511 | − | 5.96216i | 0.877496 | − | 0.235124i | 0.208170 | − | 0.978093i | \(-0.433249\pi\) |
0.669327 | + | 0.742968i | \(0.266583\pi\) | |||||||
\(644\) | −11.3104 | + | 15.1809i | −0.445691 | + | 0.598210i | ||||
\(645\) | 3.90263 | − | 16.0494i | 0.153666 | − | 0.631943i | ||||
\(646\) | 0.112746 | + | 0.0373828i | 0.00443593 | + | 0.00147081i | ||||
\(647\) | 30.4726i | 1.19800i | 0.800749 | + | 0.599000i | \(0.204435\pi\) | ||||
−0.800749 | + | 0.599000i | \(0.795565\pi\) | |||||||
\(648\) | 23.0141 | − | 10.8789i | 0.904080 | − | 0.427364i | ||||
\(649\) | − | 4.05524i | − | 0.159182i | ||||||
\(650\) | −4.34797 | + | 13.1134i | −0.170541 | + | 0.514350i | ||||
\(651\) | −8.22063 | + | 33.8069i | −0.322192 | + | 1.32500i | ||||
\(652\) | −32.1678 | + | 4.69986i | −1.25979 | + | 0.184061i | ||||
\(653\) | −28.6613 | + | 7.67978i | −1.12160 | + | 0.300533i | −0.771533 | − | 0.636190i | \(-0.780510\pi\) |
−0.350072 | + | 0.936723i | \(0.613843\pi\) | |||||||
\(654\) | 20.8033 | + | 13.0048i | 0.813474 | + | 0.508529i | ||||
\(655\) | −15.4231 | − | 26.7135i | −0.602629 | − | 1.04378i | ||||
\(656\) | 9.45821 | − | 39.7776i | 0.369281 | − | 1.55305i | ||||
\(657\) | −20.8842 | + | 40.4035i | −0.814771 | + | 1.57629i | ||||
\(658\) | 52.1978 | + | 3.04976i | 2.03488 | + | 0.118892i | ||||
\(659\) | 8.39137 | − | 31.3170i | 0.326882 | − | 1.21994i | −0.585525 | − | 0.810654i | \(-0.699112\pi\) |
0.912407 | − | 0.409284i | \(-0.134222\pi\) | |||||||
\(660\) | 40.7895 | + | 49.2267i | 1.58773 | + | 1.91615i | ||||
\(661\) | −0.748903 | − | 2.79494i | −0.0291290 | − | 0.108711i | 0.949831 | − | 0.312764i | \(-0.101255\pi\) |
−0.978960 | + | 0.204054i | \(0.934588\pi\) | |||||||
\(662\) | 11.9713 | − | 2.46958i | 0.465276 | − | 0.0959831i | ||||
\(663\) | −0.656968 | + | 0.0152868i | −0.0255145 | + | 0.000593691i | ||||
\(664\) | −8.99712 | − | 4.20144i | −0.349156 | − | 0.163047i | ||||
\(665\) | 3.36304i | 0.130413i | ||||||||
\(666\) | 5.32873 | − | 5.20410i | 0.206484 | − | 0.201655i | ||||
\(667\) | −3.72888 | + | 3.72888i | −0.144383 | + | 0.144383i | ||||
\(668\) | −26.7855 | + | 11.5425i | −1.03636 | + | 0.446593i | ||||
\(669\) | −1.91940 | − | 6.54985i | −0.0742083 | − | 0.253232i | ||||
\(670\) | 6.41536 | + | 4.22113i | 0.247847 | + | 0.163077i | ||||
\(671\) | −12.1917 | + | 21.1166i | −0.470654 | + | 0.815197i | ||||
\(672\) | −25.6883 | − | 15.0629i | −0.990948 | − | 0.581063i | ||||
\(673\) | −5.83527 | − | 10.1070i | −0.224933 | − | 0.389595i | 0.731366 | − | 0.681985i | \(-0.238883\pi\) |
−0.956299 | + | 0.292389i | \(0.905550\pi\) | |||||||
\(674\) | 2.58578 | − | 44.2566i | 0.0996005 | − | 1.70470i | ||||
\(675\) | 34.0690 | + | 6.62303i | 1.31131 | + | 0.254920i | ||||
\(676\) | −2.52964 | + | 21.5740i | −0.0972938 | + | 0.829768i | ||||
\(677\) | 45.4726 | + | 12.1843i | 1.74765 | + | 0.468282i | 0.984123 | − | 0.177489i | \(-0.0567975\pi\) |
0.763531 | + | 0.645772i | \(0.223464\pi\) | |||||||
\(678\) | 4.61984 | − | 15.1006i | 0.177424 | − | 0.579934i | ||||
\(679\) | −31.2874 | − | 18.0638i | −1.20070 | − | 0.693225i | ||||
\(680\) | −2.49806 | + | 0.217170i | −0.0957962 | + | 0.00832810i | ||||
\(681\) | 9.60955 | − | 17.5762i | 0.368239 | − | 0.673522i | ||||
\(682\) | −15.8851 | + | 47.9091i | −0.608271 | + | 1.83453i | ||||
\(683\) | 19.7598 | − | 19.7598i | 0.756087 | − | 0.756087i | −0.219521 | − | 0.975608i | \(-0.570449\pi\) |
0.975608 | + | 0.219521i | \(0.0704495\pi\) | |||||||
\(684\) | 1.83660 | + | 0.633172i | 0.0702243 | + | 0.0242099i | ||||
\(685\) | 23.6729 | + | 23.6729i | 0.904495 | + | 0.904495i | ||||
\(686\) | −9.18406 | − | 18.2953i | −0.350649 | − | 0.698519i | ||||
\(687\) | −0.557861 | − | 23.9747i | −0.0212837 | − | 0.914692i | ||||
\(688\) | 0.316464 | + | 11.1570i | 0.0120651 | + | 0.425357i | ||||
\(689\) | 1.28576 | − | 2.22700i | 0.0489835 | − | 0.0848420i | ||||
\(690\) | −0.914798 | + | 26.0548i | −0.0348258 | + | 0.991891i | ||||
\(691\) | 6.88515 | − | 25.6957i | 0.261923 | − | 0.977511i | −0.702183 | − | 0.711996i | \(-0.747791\pi\) |
0.964107 | − | 0.265515i | \(-0.0855420\pi\) | |||||||
\(692\) | 18.9774 | + | 24.0189i | 0.721414 | + | 0.913063i | ||||
\(693\) | −48.1014 | − | 10.5178i | −1.82722 | − | 0.399537i | ||||
\(694\) | 2.39788 | + | 2.69547i | 0.0910222 | + | 0.102318i | ||||
\(695\) | −1.63086 | + | 0.941575i | −0.0618619 | + | 0.0357160i | ||||
\(696\) | −6.47398 | − | 5.18635i | −0.245396 | − | 0.196588i | ||||
\(697\) | 2.29634 | + | 1.32579i | 0.0869800 | + | 0.0502179i | ||||
\(698\) | −1.71180 | − | 8.29790i | −0.0647924 | − | 0.314080i | ||||
\(699\) | −2.46360 | + | 10.1314i | −0.0931820 | + | 0.383206i | ||||
\(700\) | −16.0675 | − | 37.2862i | −0.607295 | − | 1.40928i | ||||
\(701\) | −32.6887 | − | 32.6887i | −1.23463 | − | 1.23463i | −0.962164 | − | 0.272471i | \(-0.912159\pi\) |
−0.272471 | − | 0.962164i | \(-0.587841\pi\) | |||||||
\(702\) | −10.7470 | + | 0.122875i | −0.405618 | + | 0.00463762i | ||||
\(703\) | 0.568427 | 0.0214386 | ||||||||
\(704\) | −35.3611 | − | 24.8180i | −1.33272 | − | 0.935364i | ||||
\(705\) | 61.5054 | − | 37.4444i | 2.31643 | − | 1.41024i | ||||
\(706\) | 0.305497 | + | 0.201008i | 0.0114975 | + | 0.00756505i | ||||
\(707\) | 21.9089 | − | 5.87047i | 0.823969 | − | 0.220782i | ||||
\(708\) | 2.12164 | + | 1.50525i | 0.0797361 | + | 0.0565706i | ||||
\(709\) | −42.7374 | − | 11.4514i | −1.60504 | − | 0.430068i | −0.658477 | − | 0.752601i | \(-0.728799\pi\) |
−0.946558 | + | 0.322533i | \(0.895466\pi\) | |||||||
\(710\) | 16.9100 | − | 15.0431i | 0.634623 | − | 0.564558i | ||||
\(711\) | −0.205970 | − | 4.42351i | −0.00772449 | − | 0.165894i | ||||
\(712\) | −43.8529 | − | 7.75727i | −1.64346 | − | 0.290716i | ||||
\(713\) | −17.8258 | + | 10.2917i | −0.667581 | + | 0.385428i | ||||
\(714\) | 1.41266 | − | 1.31682i | 0.0528673 | − | 0.0492808i | ||||
\(715\) | −6.98599 | − | 26.0721i | −0.261261 | − | 0.975040i | ||||
\(716\) | −36.3854 | + | 5.31607i | −1.35979 | + | 0.198671i | ||||
\(717\) | −18.9666 | + | 19.8703i | −0.708320 | + | 0.742069i | ||||
\(718\) | 7.17449 | + | 14.2921i | 0.267749 | + | 0.533376i | ||||
\(719\) | 5.93945 | 0.221504 | 0.110752 | − | 0.993848i | \(-0.464674\pi\) | ||||
0.110752 | + | 0.993848i | \(0.464674\pi\) | |||||||
\(720\) | −40.8951 | + | 3.06821i | −1.52407 | + | 0.114345i | ||||
\(721\) | −34.4992 | −1.28482 | ||||||||
\(722\) | −11.9884 | − | 23.8817i | −0.446160 | − | 0.888784i | ||||
\(723\) | 7.50416 | + | 25.6075i | 0.279083 | + | 0.952355i | ||||
\(724\) | −5.21089 | − | 35.6655i | −0.193661 | − | 1.32550i | ||||
\(725\) | −2.92719 | − | 10.9244i | −0.108713 | − | 0.405722i | ||||
\(726\) | −42.5403 | − | 13.0147i | −1.57882 | − | 0.483021i | ||||
\(727\) | 8.81201 | − | 5.08761i | 0.326819 | − | 0.188689i | −0.327609 | − | 0.944813i | \(-0.606243\pi\) |
0.654428 | + | 0.756124i | \(0.272909\pi\) | |||||||
\(728\) | 7.20585 | + | 10.3031i | 0.267067 | + | 0.381856i | ||||
\(729\) | 3.75663 | + | 26.7374i | 0.139134 | + | 0.990274i | ||||
\(730\) | 54.7451 | − | 48.7011i | 2.02621 | − | 1.80251i | ||||
\(731\) | −0.699183 | − | 0.187345i | −0.0258602 | − | 0.00692922i | ||||
\(732\) | −6.52250 | − | 14.2166i | −0.241078 | − | 0.525462i | ||||
\(733\) | 30.7227 | − | 8.23211i | 1.13477 | − | 0.304060i | 0.357922 | − | 0.933752i | \(-0.383485\pi\) |
0.776845 | + | 0.629692i | \(0.216819\pi\) | |||||||
\(734\) | 33.2112 | + | 21.8521i | 1.22585 | + | 0.806574i | ||||
\(735\) | 11.6199 | + | 6.35301i | 0.428605 | + | 0.234334i | ||||
\(736\) | −4.04721 | − | 17.1464i | −0.149182 | − | 0.632026i | ||||
\(737\) | −8.58056 | −0.316069 | ||||||||
\(738\) | 37.2976 | + | 22.1262i | 1.37294 | + | 0.814477i | ||||
\(739\) | −24.0006 | − | 24.0006i | −0.882876 | − | 0.882876i | 0.110950 | − | 0.993826i | \(-0.464611\pi\) |
−0.993826 | + | 0.110950i | \(0.964611\pi\) | |||||||
\(740\) | −11.0199 | + | 4.74872i | −0.405098 | + | 0.174567i | ||||
\(741\) | −0.593315 | − | 0.566332i | −0.0217960 | − | 0.0208047i | ||||
\(742\) | 1.52684 | + | 7.40134i | 0.0560521 | + | 0.271712i | ||||
\(743\) | 8.54415 | + | 4.93297i | 0.313454 | + | 0.180973i | 0.648471 | − | 0.761239i | \(-0.275409\pi\) |
−0.335017 | + | 0.942212i | \(0.608742\pi\) | |||||||
\(744\) | −19.1690 | − | 26.0940i | −0.702769 | − | 0.956651i | ||||
\(745\) | 33.8611 | − | 19.5497i | 1.24057 | − | 0.716246i | ||||
\(746\) | 28.2087 | + | 31.7095i | 1.03279 | + | 1.16097i | ||||
\(747\) | 7.09287 | − | 7.78566i | 0.259515 | − | 0.284862i | ||||
\(748\) | 2.19832 | − | 1.73690i | 0.0803787 | − | 0.0635074i | ||||
\(749\) | 7.58360 | − | 28.3024i | 0.277099 | − | 1.03415i | ||||
\(750\) | −11.9203 | − | 7.45175i | −0.435267 | − | 0.272099i | ||||
\(751\) | 22.9226 | − | 39.7031i | 0.836458 | − | 1.44879i | −0.0563807 | − | 0.998409i | \(-0.517956\pi\) |
0.892838 | − | 0.450378i | \(-0.148711\pi\) | |||||||
\(752\) | −33.4179 | + | 35.3690i | −1.21862 | + | 1.28977i | ||||
\(753\) | −5.45325 | + | 3.31993i | −0.198728 | + | 0.120985i | ||||
\(754\) | 1.57126 | + | 3.13006i | 0.0572219 | + | 0.113990i | ||||
\(755\) | 1.19365 | + | 1.19365i | 0.0434414 | + | 0.0434414i | ||||
\(756\) | 23.3573 | − | 21.2619i | 0.849495 | − | 0.773286i | ||||
\(757\) | −13.9071 | + | 13.9071i | −0.505462 | + | 0.505462i | −0.913130 | − | 0.407668i | \(-0.866342\pi\) |
0.407668 | + | 0.913130i | \(0.366342\pi\) | |||||||
\(758\) | 14.4728 | − | 43.6496i | 0.525674 | − | 1.58542i | ||||
\(759\) | −15.1478 | − | 24.8815i | −0.549831 | − | 0.903143i | ||||
\(760\) | −2.39639 | − | 2.01306i | −0.0869263 | − | 0.0730212i | ||||
\(761\) | −23.7610 | − | 13.7184i | −0.861334 | − | 0.497291i | 0.00312490 | − | 0.999995i | \(-0.499005\pi\) |
−0.864459 | + | 0.502704i | \(0.832339\pi\) | |||||||
\(762\) | −33.8199 | + | 7.80119i | −1.22517 | + | 0.282607i | ||||
\(763\) | 29.4038 | + | 7.87873i | 1.06449 | + | 0.285229i | ||||
\(764\) | 5.79396 | + | 0.679365i | 0.209618 | + | 0.0245786i | ||||
\(765\) | 0.568118 | − | 2.59820i | 0.0205404 | − | 0.0939381i | ||||
\(766\) | 0.223395 | − | 3.82349i | 0.00807158 | − | 0.138148i | ||||
\(767\) | −0.549159 | − | 0.951172i | −0.0198290 | − | 0.0343448i | ||||
\(768\) | 26.1099 | − | 9.28830i | 0.942160 | − | 0.335163i | ||||
\(769\) | −0.377145 | + | 0.653234i | −0.0136002 | + | 0.0235562i | −0.872745 | − | 0.488176i | \(-0.837663\pi\) |
0.859145 | + | 0.511732i | \(0.170996\pi\) | |||||||
\(770\) | 66.2658 | + | 43.6011i | 2.38805 | + | 1.57127i | ||||
\(771\) | −33.7490 | + | 35.3570i | −1.21544 | + | 1.27335i | ||||
\(772\) | −2.11226 | − | 4.90170i | −0.0760219 | − | 0.176416i | ||||
\(773\) | 9.72090 | − | 9.72090i | 0.349637 | − | 0.349637i | −0.510338 | − | 0.859974i | \(-0.670480\pi\) |
0.859974 | + | 0.510338i | \(0.170480\pi\) | |||||||
\(774\) | −11.3981 | − | 3.19912i | −0.409697 | − | 0.114990i | ||||
\(775\) | − | 44.1447i | − | 1.58572i | ||||||
\(776\) | 31.5998 | − | 11.4818i | 1.13437 | − | 0.412171i | ||||
\(777\) | 4.43347 | − | 8.10897i | 0.159050 | − | 0.290908i | ||||
\(778\) | −19.1157 | + | 3.94343i | −0.685331 | + | 0.141379i | ||||
\(779\) | 0.856580 | + | 3.19680i | 0.0306902 | + | 0.114537i | ||||
\(780\) | 16.2336 | + | 6.02260i | 0.581255 | + | 0.215644i | ||||
\(781\) | −6.54511 | + | 24.4267i | −0.234203 | + | 0.874056i | ||||
\(782\) | 1.14059 | + | 0.0666414i | 0.0407875 | + | 0.00238309i | ||||
\(783\) | 7.29431 | − | 4.91986i | 0.260677 | − | 0.175822i | ||||
\(784\) | −8.70644 | − | 2.07019i | −0.310944 | − | 0.0739355i | ||||
\(785\) | 24.5056 | + | 42.4450i | 0.874644 | + | 1.51493i | ||||
\(786\) | −19.5230 | + | 10.3758i | −0.696362 | + | 0.370093i | ||||
\(787\) | −25.2471 | + | 6.76494i | −0.899962 | + | 0.241144i | −0.679000 | − | 0.734138i | \(-0.737586\pi\) |
−0.220962 | + | 0.975282i | \(0.570920\pi\) | |||||||
\(788\) | −4.47512 | − | 30.6295i | −0.159420 | − | 1.09113i | ||||
\(789\) | −9.93075 | + | 2.91016i | −0.353544 | + | 0.103604i | ||||
\(790\) | −2.24523 | + | 6.77159i | −0.0798818 | + | 0.240922i | ||||
\(791\) | − | 19.5938i | − | 0.696676i | ||||||
\(792\) | 36.2873 | − | 27.9798i | 1.28941 | − | 0.994218i | ||||
\(793\) | 6.60396i | 0.234513i | ||||||||
\(794\) | −5.53950 | − | 1.83671i | −0.196589 | − | 0.0651826i | ||||
\(795\) | 7.52834 | + | 7.18596i | 0.267003 | + | 0.254860i | ||||
\(796\) | 7.30383 | + | 5.44165i | 0.258877 | + | 0.192874i | ||||
\(797\) | −30.2981 | + | 8.11835i | −1.07321 | + | 0.287567i | −0.751813 | − | 0.659377i | \(-0.770820\pi\) |
−0.321401 | + | 0.946943i | \(0.604154\pi\) | |||||||
\(798\) | 2.40897 | + | 0.0845801i | 0.0852766 | + | 0.00299410i | ||||
\(799\) | −1.57783 | − | 2.73288i | −0.0558195 | − | 0.0966822i | ||||
\(800\) | 36.1867 | + | 10.8697i | 1.27939 | + | 0.384300i | ||||
\(801\) | 21.6893 | − | 41.9611i | 0.766355 | − | 1.48262i | ||||
\(802\) | −1.14454 | + | 19.5893i | −0.0404152 | + | 0.691722i | ||||
\(803\) | −21.1894 | + | 79.0798i | −0.747756 | + | 2.79066i | ||||
\(804\) | 3.18497 | − | 4.48921i | 0.112325 | − | 0.158322i | ||||
\(805\) | 8.37238 | + | 31.2462i | 0.295088 | + | 1.10128i | ||||
\(806\) | 2.76193 | + | 13.3884i | 0.0972848 | + | 0.471586i | ||||
\(807\) | 9.48796 | + | 15.5848i | 0.333992 | + | 0.548609i | ||||
\(808\) | −8.93117 | + | 19.1255i | −0.314197 | + | 0.672834i | ||||
\(809\) | 6.53194i | 0.229651i | 0.993386 | + | 0.114825i | \(0.0366309\pi\) | ||||
−0.993386 | + | 0.114825i | \(0.963369\pi\) | |||||||
\(810\) | 9.79371 | − | 42.3808i | 0.344116 | − | 1.48911i | ||||
\(811\) | 4.79744 | − | 4.79744i | 0.168461 | − | 0.168461i | −0.617842 | − | 0.786303i | \(-0.711993\pi\) |
0.786303 | + | 0.617842i | \(0.211993\pi\) | |||||||
\(812\) | −9.56400 | − | 3.80359i | −0.335631 | − | 0.133480i | ||||
\(813\) | −21.2851 | − | 5.17578i | −0.746501 | − | 0.181522i | ||||
\(814\) | 7.36954 | − | 11.2004i | 0.258302 | − | 0.392573i | ||||
\(815\) | −27.7751 | + | 48.1080i | −0.972921 | + | 1.68515i | ||||
\(816\) | 0.0927348 | + | 1.79484i | 0.00324637 | + | 0.0628320i | ||||
\(817\) | −0.451735 | − | 0.782427i | −0.0158042 | − | 0.0273737i | ||||
\(818\) | −25.7150 | − | 1.50245i | −0.899103 | − | 0.0525318i | ||||
\(819\) | −12.7067 | + | 4.04689i | −0.444007 | + | 0.141410i | ||||
\(820\) | −43.3127 | − | 54.8191i | −1.51255 | − | 1.91436i | ||||
\(821\) | −27.7576 | − | 7.43764i | −0.968748 | − | 0.259575i | −0.260449 | − | 0.965488i | \(-0.583871\pi\) |
−0.708299 | + | 0.705912i | \(0.750537\pi\) | |||||||
\(822\) | 17.5524 | − | 16.3617i | 0.612212 | − | 0.570680i | ||||
\(823\) | 22.9167 | + | 13.2310i | 0.798826 | + | 0.461202i | 0.843060 | − | 0.537819i | \(-0.180752\pi\) |
−0.0442346 | + | 0.999021i | \(0.514085\pi\) | |||||||
\(824\) | 20.6506 | − | 24.5830i | 0.719398 | − | 0.856390i | ||||
\(825\) | 62.4570 | − | 1.45329i | 2.17447 | − | 0.0505972i | ||||
\(826\) | 3.06372 | + | 1.01583i | 0.106601 | + | 0.0353452i | ||||
\(827\) | −28.6969 | + | 28.6969i | −0.997888 | + | 0.997888i | −0.999998 | − | 0.00211025i | \(-0.999328\pi\) |
0.00211025 | + | 0.999998i | \(0.499328\pi\) | |||||||
\(828\) | 18.6403 | + | 1.31055i | 0.647794 | + | 0.0455449i | ||||
\(829\) | 16.5920 | + | 16.5920i | 0.576263 | + | 0.576263i | 0.933872 | − | 0.357609i | \(-0.116408\pi\) |
−0.357609 | + | 0.933872i | \(0.616408\pi\) | |||||||
\(830\) | −15.1641 | + | 7.61222i | −0.526354 | + | 0.264224i | ||||
\(831\) | 35.9515 | + | 19.6560i | 1.24714 | + | 0.681858i | ||||
\(832\) | −11.6549 | − | 1.03257i | −0.404062 | − | 0.0357978i | ||||
\(833\) | 0.290187 | − | 0.502618i | 0.0100544 | − | 0.0174147i | ||||
\(834\) | 0.633441 | + | 1.19187i | 0.0219343 | + | 0.0412712i | ||||
\(835\) | −12.8992 | + | 48.1403i | −0.446394 | + | 1.66596i | ||||
\(836\) | 3.47313 | + | 0.407239i | 0.120121 | + | 0.0140847i | ||||
\(837\) | 32.4714 | − | 11.1801i | 1.12238 | − | 0.386441i | ||||
\(838\) | −2.89363 | + | 2.57417i | −0.0999590 | + | 0.0889232i | ||||
\(839\) | 5.80231 | − | 3.34997i | 0.200318 | − | 0.115654i | −0.396486 | − | 0.918041i | \(-0.629770\pi\) |
0.596804 | + | 0.802387i | \(0.296437\pi\) | |||||||
\(840\) | −47.4083 | + | 18.4852i | −1.63574 | + | 0.637799i | ||||
\(841\) | 22.6317 | + | 13.0664i | 0.780405 | + | 0.450567i | ||||
\(842\) | 29.8411 | − | 6.15599i | 1.02839 | − | 0.212149i | ||||
\(843\) | −40.0934 | + | 11.7492i | −1.38089 | + | 0.404663i | ||||
\(844\) | −6.05936 | + | 15.2361i | −0.208572 | + | 0.524447i | ||||
\(845\) | 26.2457 | + | 26.2457i | 0.902881 | + | 0.902881i | ||||
\(846\) | −25.2748 | − | 44.9985i | −0.868966 | − | 1.54708i | ||||
\(847\) | −55.1984 | −1.89664 | ||||||||
\(848\) | −6.18790 | − | 3.34233i | −0.212493 | − | 0.114776i | ||||
\(849\) | 0.0854036 | + | 3.67032i | 0.00293104 | + | 0.125965i | ||||
\(850\) | −1.34687 | + | 2.04701i | −0.0461974 | + | 0.0702117i | ||||
\(851\) | 5.28129 | − | 1.41512i | 0.181040 | − | 0.0485096i | ||||
\(852\) | −10.3502 | − | 12.4911i | −0.354592 | − | 0.427939i | ||||
\(853\) | 19.2641 | + | 5.16181i | 0.659592 | + | 0.176737i | 0.573062 | − | 0.819512i | \(-0.305755\pi\) |
0.0865300 | + | 0.996249i | \(0.472422\pi\) | |||||||
\(854\) | −12.8995 | − | 14.5004i | −0.441413 | − | 0.496194i | ||||
\(855\) | 2.79451 | − | 1.79170i | 0.0955703 | − | 0.0612748i | ||||
\(856\) | 15.6280 | + | 22.3451i | 0.534153 | + | 0.763741i | ||||
\(857\) | 12.5164 | − | 7.22635i | 0.427552 | − | 0.246848i | −0.270751 | − | 0.962649i | \(-0.587272\pi\) |
0.698303 | + | 0.715802i | \(0.253939\pi\) | |||||||
\(858\) | −18.8513 | + | 4.34840i | −0.643573 | + | 0.148452i | ||||
\(859\) | 1.13755 | + | 4.24540i | 0.0388127 | + | 0.144851i | 0.982613 | − | 0.185665i | \(-0.0594439\pi\) |
−0.943800 | + | 0.330516i | \(0.892777\pi\) | |||||||
\(860\) | 15.2941 | + | 11.3947i | 0.521525 | + | 0.388557i | ||||
\(861\) | 52.2853 | + | 12.7139i | 1.78188 | + | 0.433289i | ||||
\(862\) | 22.0114 | − | 11.0495i | 0.749713 | − | 0.376348i | ||||
\(863\) | 43.8649 | 1.49318 | 0.746589 | − | 0.665286i | \(-0.231690\pi\) | ||||
0.746589 | + | 0.665286i | \(0.231690\pi\) | |||||||
\(864\) | 1.16927 | + | 29.3706i | 0.0397795 | + | 0.999208i | ||||
\(865\) | 52.3071 | 1.77849 | ||||||||
\(866\) | −35.0818 | + | 17.6107i | −1.19213 | + | 0.598437i | ||||
\(867\) | 28.4979 | + | 6.92967i | 0.967839 | + | 0.235344i | ||||
\(868\) | −32.2160 | − | 24.0022i | −1.09348 | − | 0.814689i | ||||
\(869\) | −2.06309 | − | 7.69955i | −0.0699855 | − | 0.261189i | ||||
\(870\) | −13.8118 | + | 3.18594i | −0.468263 | + | 0.108014i | ||||
\(871\) | −2.01260 | + | 1.16198i | −0.0681943 | + | 0.0393720i | ||||
\(872\) | −23.2148 | + | 16.2362i | −0.786151 | + | 0.549826i | ||||
\(873\) | 1.65865 | + | 35.6220i | 0.0561369 | + | 1.20562i | ||||
\(874\) | 0.947843 | + | 1.06547i | 0.0320613 | + | 0.0360402i | ||||
\(875\) | −16.8484 | − | 4.51450i | −0.569578 | − | 0.152618i | ||||
\(876\) | −33.5081 | − | 40.4392i | −1.13213 | − | 1.36631i | ||||
\(877\) | 36.8355 | − | 9.87004i | 1.24385 | − | 0.333288i | 0.423890 | − | 0.905714i | \(-0.360664\pi\) |
0.819956 | + | 0.572426i | \(0.193998\pi\) | |||||||
\(878\) | −30.7941 | + | 46.8015i | −1.03925 | + | 1.57947i | ||||
\(879\) | −0.0827529 | − | 3.55640i | −0.00279118 | − | 0.119954i | ||||
\(880\) | −70.7343 | + | 21.1201i | −2.38445 | + | 0.711958i | ||||
\(881\) | −17.2270 | −0.580392 | −0.290196 | − | 0.956967i | \(-0.593721\pi\) | ||||
−0.290196 | + | 0.956967i | \(0.593721\pi\) | |||||||
\(882\) | 4.84294 | − | 8.16362i | 0.163070 | − | 0.274883i | ||||
\(883\) | 8.52615 | + | 8.52615i | 0.286928 | + | 0.286928i | 0.835864 | − | 0.548936i | \(-0.184967\pi\) |
−0.548936 | + | 0.835864i | \(0.684967\pi\) | |||||||
\(884\) | 0.280414 | − | 0.705093i | 0.00943135 | − | 0.0237148i | ||||
\(885\) | 4.26570 | − | 1.25004i | 0.143390 | − | 0.0420197i | ||||
\(886\) | −32.4284 | + | 6.68975i | −1.08945 | + | 0.224746i | ||||
\(887\) | −0.898979 | − | 0.519026i | −0.0301847 | − | 0.0174272i | 0.484832 | − | 0.874607i | \(-0.338881\pi\) |
−0.515016 | + | 0.857180i | \(0.672214\pi\) | |||||||
\(888\) | 3.12440 | + | 8.01304i | 0.104848 | + | 0.268900i | ||||
\(889\) | −37.2955 | + | 21.5326i | −1.25085 | + | 0.722180i | ||||
\(890\) | −56.8556 | + | 50.5786i | −1.90581 | + | 1.69540i | ||||
\(891\) | 16.8869 | + | 45.5733i | 0.565731 | + | 1.52676i | ||||
\(892\) | 7.82755 | + | 0.917813i | 0.262086 | + | 0.0307306i | ||||
\(893\) | 1.01942 | − | 3.80452i | 0.0341135 | − | 0.127313i | ||||
\(894\) | −13.1520 | − | 24.7466i | −0.439869 | − | 0.827651i | ||||
\(895\) | −31.4168 | + | 54.4155i | −1.05015 | + | 1.81891i | ||||
\(896\) | 27.6078 | − | 20.4984i | 0.922312 | − | 0.684802i | ||||
\(897\) | −6.92242 | − | 3.78474i | −0.231133 | − | 0.126369i | ||||
\(898\) | −1.78340 | + | 0.895251i | −0.0595130 | + | 0.0298749i | ||||
\(899\) | −7.91323 | − | 7.91323i | −0.263921 | − | 0.263921i | ||||
\(900\) | −22.4227 | + | 33.2159i | −0.747425 | + | 1.10720i | ||||
\(901\) | 0.322509 | − | 0.322509i | 0.0107443 | − | 0.0107443i | ||||
\(902\) | 74.0956 | + | 24.5677i | 2.46711 | + | 0.818014i | ||||
\(903\) | −14.6851 | + | 0.341705i | −0.488691 | + | 0.0113712i | ||||
\(904\) | 13.9619 | + | 11.7285i | 0.464367 | + | 0.390084i | ||||
\(905\) | −53.3389 | − | 30.7952i | −1.77304 | − | 1.02367i | ||||
\(906\) | 0.885041 | − | 0.825000i | 0.0294035 | − | 0.0274088i | ||||
\(907\) | 51.7308 | + | 13.8612i | 1.71769 | + | 0.460255i | 0.977290 | − | 0.211907i | \(-0.0679675\pi\) |
0.740404 | + | 0.672162i | \(0.234634\pi\) | |||||||
\(908\) | 14.3397 | + | 18.1492i | 0.475881 | + | 0.602303i | ||||
\(909\) | −16.5503 | − | 15.0776i | −0.548938 | − | 0.500093i | ||||
\(910\) | 21.4473 | + | 1.25310i | 0.710972 | + | 0.0415399i | ||||
\(911\) | −24.2632 | − | 42.0250i | −0.803875 | − | 1.39235i | −0.917048 | − | 0.398777i | \(-0.869435\pi\) |
0.113173 | − | 0.993575i | \(-0.463898\pi\) | |||||||
\(912\) | −1.50224 | + | 1.66593i | −0.0497440 | + | 0.0551643i | ||||
\(913\) | 9.47916 | − | 16.4184i | 0.313714 | − | 0.543369i | ||||
\(914\) | 19.1809 | − | 29.1515i | 0.634446 | − | 0.964245i | ||||
\(915\) | −25.9706 | − | 6.31513i | −0.858562 | − | 0.208772i | ||||
\(916\) | 25.7309 | + | 10.2331i | 0.850173 | + | 0.338113i | ||||
\(917\) | −19.3977 | + | 19.3977i | −0.640567 | + | 0.640567i | ||||
\(918\) | −1.84682 | − | 0.472292i | −0.0609542 | − | 0.0155880i | ||||
\(919\) | − | 1.68133i | − | 0.0554620i | −0.999615 | − | 0.0277310i | \(-0.991172\pi\) | ||
0.999615 | − | 0.0277310i | \(-0.00882819\pi\) | |||||||
\(920\) | −27.2766 | − | 12.7375i | −0.899282 | − | 0.419943i | ||||
\(921\) | −7.81676 | − | 12.8397i | −0.257571 | − | 0.423081i | ||||
\(922\) | 9.42567 | + | 45.6908i | 0.310418 | + | 1.50474i | ||||
\(923\) | 1.77267 | + | 6.61571i | 0.0583482 | + | 0.217759i | ||||
\(924\) | 32.8984 | − | 46.3701i | 1.08228 | − | 1.52547i | ||||
\(925\) | −3.03496 | + | 11.3266i | −0.0997887 | + | 0.372417i | ||||
\(926\) | −2.32293 | + | 39.7578i | −0.0763362 | + | 1.30652i | ||||
\(927\) | 18.3798 | + | 28.6671i | 0.603673 | + | 0.941550i | ||||
\(928\) | 8.43516 | − | 4.53824i | 0.276898 | − | 0.148975i | ||||
\(929\) | 11.7821 | + | 20.4072i | 0.386559 | + | 0.669540i | 0.991984 | − | 0.126363i | \(-0.0403303\pi\) |
−0.605425 | + | 0.795902i | \(0.706997\pi\) | |||||||
\(930\) | −55.2921 | − | 1.94133i | −1.81310 | − | 0.0636588i | ||||
\(931\) | 0.699709 | − | 0.187487i | 0.0229320 | − | 0.00614462i | ||||
\(932\) | −9.65466 | − | 7.19312i | −0.316249 | − | 0.235618i | ||||
\(933\) | 27.7370 | + | 26.4755i | 0.908069 | + | 0.866770i | ||||
\(934\) | 49.9600 | + | 16.5651i | 1.63474 | + | 0.542027i | ||||
\(935\) | − | 4.78739i | − | 0.156564i | ||||||
\(936\) | 4.72231 | − | 11.4768i | 0.154353 | − | 0.375130i | ||||
\(937\) | − | 41.8215i | − | 1.36625i | −0.730302 | − | 0.683125i | \(-0.760620\pi\) | ||
0.730302 | − | 0.683125i | \(-0.239380\pi\) | |||||||
\(938\) | 2.14941 | − | 6.48258i | 0.0701807 | − | 0.211664i | ||||
\(939\) | 7.45231 | − | 2.18386i | 0.243197 | − | 0.0712676i | ||||
\(940\) | 12.0205 | + | 82.2730i | 0.392064 | + | 2.68345i | ||||
\(941\) | 26.2005 | − | 7.02041i | 0.854113 | − | 0.228859i | 0.194907 | − | 0.980822i | \(-0.437559\pi\) |
0.659205 | + | 0.751963i | \(0.270893\pi\) | |||||||
\(942\) | 31.0200 | − | 16.4861i | 1.01069 | − | 0.537146i | ||||
\(943\) | 15.9171 | + | 27.5691i | 0.518331 | + | 0.897775i | ||||
\(944\) | −2.55774 | + | 1.57505i | −0.0832473 | + | 0.0512636i | ||||
\(945\) | −3.76379 | − | 53.8399i | −0.122436 | − | 1.75141i | ||||
\(946\) | −21.2737 | − | 1.24296i | −0.691668 | − | 0.0404121i | ||||
\(947\) | 2.33090 | − | 8.69902i | 0.0757439 | − | 0.282680i | −0.917657 | − | 0.397373i | \(-0.869922\pi\) |
0.993401 | + | 0.114693i | \(0.0365885\pi\) | |||||||
\(948\) | 4.79407 | + | 1.77858i | 0.155704 | + | 0.0577657i | ||||
\(949\) | 5.73891 | + | 21.4179i | 0.186293 | + | 0.695254i | ||||
\(950\) | −2.99535 | + | 0.617919i | −0.0971820 | + | 0.0200479i | ||||
\(951\) | −0.0539133 | + | 0.0986093i | −0.00174826 | + | 0.00319763i | ||||
\(952\) | 0.761549 | + | 2.09592i | 0.0246819 | + | 0.0679291i | ||||
\(953\) | − | 15.4588i | − | 0.500758i | −0.968148 | − | 0.250379i | \(-0.919445\pi\) | ||
0.968148 | − | 0.250379i | \(-0.0805553\pi\) | |||||||
\(954\) | 5.33669 | − | 5.21188i | 0.172782 | − | 0.168741i | ||||
\(955\) | 7.04862 | − | 7.04862i | 0.228088 | − | 0.228088i | ||||
\(956\) | −12.5525 | − | 29.1292i | −0.405977 | − | 0.942107i | ||||
\(957\) | 10.9353 | − | 11.4563i | 0.353488 | − | 0.370331i | ||||
\(958\) | 3.67438 | + | 2.41764i | 0.118714 | + | 0.0781104i | ||||
\(959\) | 14.8868 | − | 25.7846i | 0.480719 | − | 0.832629i | ||||
\(960\) | 15.2058 | − | 44.8465i | 0.490766 | − | 1.44742i | ||||
\(961\) | −6.34052 | − | 10.9821i | −0.204533 | − | 0.354261i | ||||
\(962\) | 0.211802 | − | 3.62507i | 0.00682876 | − | 0.116877i | ||||
\(963\) | −27.5581 | + | 8.77684i | −0.888046 | + | 0.282830i | ||||
\(964\) | −30.6029 | − | 3.58831i | −0.985652 | − | 0.115572i | ||||
\(965\) | −8.80959 | − | 2.36052i | −0.283591 | − | 0.0759879i | ||||
\(966\) | 22.5924 | − | 5.21136i | 0.726899 | − | 0.167673i | ||||
\(967\) | 38.0224 | + | 21.9523i | 1.22272 | + | 0.705937i | 0.965497 | − | 0.260415i | \(-0.0838594\pi\) |
0.257222 | + | 0.966352i | \(0.417193\pi\) | |||||||
\(968\) | 33.0408 | − | 39.3326i | 1.06197 | − | 1.26420i | ||||
\(969\) | −0.0756497 | − | 0.124261i | −0.00243022 | − | 0.00399184i | ||||
\(970\) | 18.0806 | − | 54.5308i | 0.580533 | − | 1.75088i | ||||
\(971\) | −13.7775 | + | 13.7775i | −0.442142 | + | 0.442142i | −0.892731 | − | 0.450590i | \(-0.851214\pi\) |
0.450590 | + | 0.892731i | \(0.351214\pi\) | |||||||
\(972\) | −30.1114 | − | 8.08118i | −0.965823 | − | 0.259204i | ||||
\(973\) | 1.18422 | + | 1.18422i | 0.0379645 | + | 0.0379645i | ||||
\(974\) | 20.9423 | + | 41.7186i | 0.671035 | + | 1.33675i | ||||
\(975\) | 14.4527 | − | 8.79877i | 0.462857 | − | 0.281786i | ||||
\(976\) | 18.0540 | − | 0.512093i | 0.577893 | − | 0.0163917i | ||||
\(977\) | 8.47350 | − | 14.6765i | 0.271091 | − | 0.469544i | −0.698050 | − | 0.716049i | \(-0.745949\pi\) |
0.969142 | + | 0.246505i | \(0.0792822\pi\) | |||||||
\(978\) | 33.7615 | + | 21.1054i | 1.07958 | + | 0.674878i | ||||
\(979\) | 22.0062 | − | 82.1284i | 0.703323 | − | 2.62484i | ||||
\(980\) | −11.9987 | + | 9.48020i | −0.383284 | + | 0.302834i | ||||
\(981\) | −9.11842 | − | 28.6306i | −0.291129 | − | 0.914104i | ||||
\(982\) | 19.4543 | + | 21.8686i | 0.620810 | + | 0.697856i | ||||
\(983\) | −1.93132 | + | 1.11505i | −0.0615996 | + | 0.0355645i | −0.530483 | − | 0.847695i | \(-0.677990\pi\) |
0.468884 | + | 0.883260i | \(0.344656\pi\) | |||||||
\(984\) | −40.3566 | + | 29.6465i | −1.28652 | + | 0.945096i | ||||
\(985\) | −45.8075 | − | 26.4470i | −1.45955 | − | 0.842670i | ||||
\(986\) | 0.125503 | + | 0.608375i | 0.00399684 | + | 0.0193746i | ||||
\(987\) | −46.3229 | − | 44.2161i | −1.47447 | − | 1.40741i | ||||
\(988\) | 0.869783 | − | 0.374810i | 0.0276715 | − | 0.0119243i | ||||
\(989\) | −6.14496 | − | 6.14496i | −0.195399 | − | 0.195399i | ||||
\(990\) | 0.926365 | − | 78.2925i | 0.0294418 | − | 2.48830i | ||||
\(991\) | −21.4329 | −0.680838 | −0.340419 | − | 0.940274i | \(-0.610569\pi\) | ||||
−0.340419 | + | 0.940274i | \(0.610569\pi\) | |||||||
\(992\) | 36.3872 | − | 8.58877i | 1.15529 | − | 0.272694i | ||||
\(993\) | −13.1354 | − | 7.18162i | −0.416840 | − | 0.227902i | ||||
\(994\) | −16.8148 | − | 11.0636i | −0.533332 | − | 0.350918i | ||||
\(995\) | 15.0332 | − | 4.02812i | 0.476583 | − | 0.127700i | ||||
\(996\) | 5.07132 | + | 11.0536i | 0.160691 | + | 0.350247i | ||||
\(997\) | −40.7234 | − | 10.9118i | −1.28972 | − | 0.345581i | −0.452169 | − | 0.891932i | \(-0.649349\pi\) |
−0.837556 | + | 0.546352i | \(0.816016\pi\) | |||||||
\(998\) | −38.2943 | + | 34.0665i | −1.21218 | + | 1.07836i | ||||
\(999\) | −9.10013 | + | 0.636164i | −0.287915 | + | 0.0201273i |
(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 | 144.2.x.e.13.16 | ✓ | 72 | |
3.2 | odd | 2 | 432.2.y.e.253.3 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.337.18 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.397.14 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.61.5 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.145.17 | 72 | |||
16.5 | even | 4 | inner | 144.2.x.e.85.5 | yes | 72 | |
16.11 | odd | 4 | 576.2.bb.e.49.10 | 72 | |||
36.7 | odd | 6 | 576.2.bb.e.529.10 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.721.2 | 72 | |||
48.5 | odd | 4 | 432.2.y.e.37.14 | 72 | |||
48.11 | even | 4 | 1728.2.bc.e.1009.2 | 72 | |||
144.11 | even | 12 | 1728.2.bc.e.1585.17 | 72 | |||
144.43 | odd | 12 | 576.2.bb.e.241.18 | 72 | |||
144.101 | odd | 12 | 432.2.y.e.181.3 | 72 | |||
144.133 | even | 12 | inner | 144.2.x.e.133.16 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.16 | ✓ | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.61.5 | yes | 72 | 9.7 | even | 3 | inner | |
144.2.x.e.85.5 | yes | 72 | 16.5 | even | 4 | inner | |
144.2.x.e.133.16 | yes | 72 | 144.133 | even | 12 | inner | |
432.2.y.e.37.14 | 72 | 48.5 | odd | 4 | |||
432.2.y.e.181.3 | 72 | 144.101 | odd | 12 | |||
432.2.y.e.253.3 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.397.14 | 72 | 9.2 | odd | 6 | |||
576.2.bb.e.49.10 | 72 | 16.11 | odd | 4 | |||
576.2.bb.e.241.18 | 72 | 144.43 | odd | 12 | |||
576.2.bb.e.337.18 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.529.10 | 72 | 36.7 | odd | 6 | |||
1728.2.bc.e.145.17 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.721.2 | 72 | 36.11 | even | 6 | |||
1728.2.bc.e.1009.2 | 72 | 48.11 | even | 4 | |||
1728.2.bc.e.1585.17 | 72 | 144.11 | even | 12 |