Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(11,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 21, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.w (of order \(32\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 203.22 | ||
Character | \(\chi\) | \(=\) | 384.203 |
Dual form | 384.2.w.a.227.22 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{32}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.617502 | + | 1.27228i | −0.436640 | + | 0.899636i | ||||
\(3\) | −0.948084 | − | 1.44953i | −0.547376 | − | 0.836887i | ||||
\(4\) | −1.23738 | − | 1.57127i | −0.618691 | − | 0.785634i | ||||
\(5\) | 0.857825 | − | 1.60488i | 0.383631 | − | 0.717723i | −0.613792 | − | 0.789468i | \(-0.710357\pi\) |
0.997423 | + | 0.0717448i | \(0.0228567\pi\) | |||||||
\(6\) | 2.42965 | − | 0.311138i | 0.991900 | − | 0.127022i | ||||
\(7\) | −1.64546 | − | 0.327303i | −0.621927 | − | 0.123709i | −0.125938 | − | 0.992038i | \(-0.540194\pi\) |
−0.495988 | + | 0.868329i | \(0.665194\pi\) | |||||||
\(8\) | 2.76318 | − | 0.604033i | 0.976930 | − | 0.213558i | ||||
\(9\) | −1.20227 | + | 2.74855i | −0.400758 | + | 0.916184i | ||||
\(10\) | 1.51214 | + | 2.08241i | 0.478181 | + | 0.658515i | ||||
\(11\) | 2.14203 | + | 2.61007i | 0.645846 | + | 0.786965i | 0.988292 | − | 0.152572i | \(-0.0487555\pi\) |
−0.342446 | + | 0.939537i | \(0.611256\pi\) | |||||||
\(12\) | −1.10446 | + | 3.28332i | −0.318830 | + | 0.947812i | ||||
\(13\) | −2.50305 | − | 4.68288i | −0.694222 | − | 1.29880i | −0.943824 | − | 0.330449i | \(-0.892800\pi\) |
0.249602 | − | 0.968348i | \(-0.419700\pi\) | |||||||
\(14\) | 1.43250 | − | 1.89138i | 0.382851 | − | 0.505492i | ||||
\(15\) | −3.13961 | + | 0.278115i | −0.810643 | + | 0.0718091i | ||||
\(16\) | −0.937770 | + | 3.88852i | −0.234442 | + | 0.972130i | ||||
\(17\) | −1.09689 | + | 0.454347i | −0.266035 | + | 0.110195i | −0.511714 | − | 0.859156i | \(-0.670989\pi\) |
0.245679 | + | 0.969351i | \(0.420989\pi\) | |||||||
\(18\) | −2.75451 | − | 3.22686i | −0.649245 | − | 0.760579i | ||||
\(19\) | −8.04397 | − | 2.44011i | −1.84541 | − | 0.559800i | −0.999656 | − | 0.0262345i | \(-0.991648\pi\) |
−0.845759 | − | 0.533566i | \(-0.820852\pi\) | |||||||
\(20\) | −3.58315 | + | 0.637974i | −0.801217 | + | 0.142655i | ||||
\(21\) | 1.08560 | + | 2.69546i | 0.236898 | + | 0.588197i | ||||
\(22\) | −4.64344 | + | 1.11353i | −0.989985 | + | 0.237406i | ||||
\(23\) | −6.42338 | − | 4.29197i | −1.33937 | − | 0.894937i | −0.340397 | − | 0.940282i | \(-0.610561\pi\) |
−0.998971 | + | 0.0453445i | \(0.985561\pi\) | |||||||
\(24\) | −3.49529 | − | 3.43263i | −0.713472 | − | 0.700683i | ||||
\(25\) | 0.938084 | + | 1.40394i | 0.187617 | + | 0.280788i | ||||
\(26\) | 7.50356 | − | 0.292889i | 1.47157 | − | 0.0574403i | ||||
\(27\) | 5.12396 | − | 0.863124i | 0.986108 | − | 0.166108i | ||||
\(28\) | 1.52179 | + | 2.99046i | 0.287591 | + | 0.565145i | ||||
\(29\) | 1.18960 | − | 1.44953i | 0.220903 | − | 0.269171i | −0.650753 | − | 0.759290i | \(-0.725547\pi\) |
0.871656 | + | 0.490119i | \(0.163047\pi\) | |||||||
\(30\) | 1.58487 | − | 4.16619i | 0.289357 | − | 0.760639i | ||||
\(31\) | −5.85015 | + | 5.85015i | −1.05072 | + | 1.05072i | −0.0520753 | + | 0.998643i | \(0.516584\pi\) |
−0.998643 | + | 0.0520753i | \(0.983416\pi\) | |||||||
\(32\) | −4.36820 | − | 3.59427i | −0.772197 | − | 0.635384i | ||||
\(33\) | 1.75255 | − | 5.57950i | 0.305080 | − | 0.971266i | ||||
\(34\) | 0.0992767 | − | 1.67611i | 0.0170258 | − | 0.287451i | ||||
\(35\) | −1.93680 | + | 2.36000i | −0.327379 | + | 0.398912i | ||||
\(36\) | 5.80639 | − | 1.51191i | 0.967731 | − | 0.251986i | ||||
\(37\) | 6.63463 | − | 2.01259i | 1.09073 | − | 0.330868i | 0.306833 | − | 0.951763i | \(-0.400731\pi\) |
0.783894 | + | 0.620895i | \(0.213231\pi\) | |||||||
\(38\) | 8.07167 | − | 8.72740i | 1.30940 | − | 1.41577i | ||||
\(39\) | −4.41487 | + | 8.06801i | −0.706945 | + | 1.29192i | ||||
\(40\) | 1.40092 | − | 4.95271i | 0.221505 | − | 0.783093i | ||||
\(41\) | −3.28266 | − | 2.19340i | −0.512665 | − | 0.342552i | 0.272177 | − | 0.962247i | \(-0.412256\pi\) |
−0.784843 | + | 0.619695i | \(0.787256\pi\) | |||||||
\(42\) | −4.09973 | − | 0.283265i | −0.632603 | − | 0.0437087i | ||||
\(43\) | −8.90461 | − | 0.877028i | −1.35794 | − | 0.133745i | −0.607308 | − | 0.794466i | \(-0.707751\pi\) |
−0.750632 | + | 0.660721i | \(0.770251\pi\) | |||||||
\(44\) | 1.45061 | − | 6.59536i | 0.218688 | − | 0.994287i | ||||
\(45\) | 3.37975 | + | 4.28728i | 0.503823 | + | 0.639110i | ||||
\(46\) | 9.42703 | − | 5.52203i | 1.38994 | − | 0.814179i | ||||
\(47\) | 7.69592 | − | 3.18775i | 1.12256 | − | 0.464982i | 0.257317 | − | 0.966327i | \(-0.417161\pi\) |
0.865247 | + | 0.501345i | \(0.167161\pi\) | |||||||
\(48\) | 6.52561 | − | 2.32732i | 0.941891 | − | 0.335919i | ||||
\(49\) | −3.86673 | − | 1.60165i | −0.552391 | − | 0.228808i | ||||
\(50\) | −2.36547 | + | 0.326567i | −0.334528 | + | 0.0461835i | ||||
\(51\) | 1.69854 | + | 1.15922i | 0.237843 | + | 0.162323i | ||||
\(52\) | −4.26083 | + | 9.72748i | −0.590871 | + | 1.34896i | ||||
\(53\) | 2.88331 | + | 3.51333i | 0.396053 | + | 0.482593i | 0.932412 | − | 0.361398i | \(-0.117700\pi\) |
−0.536358 | + | 0.843990i | \(0.680200\pi\) | |||||||
\(54\) | −2.06592 | + | 7.05209i | −0.281137 | + | 0.959668i | ||||
\(55\) | 6.02633 | − | 1.19871i | 0.812590 | − | 0.161634i | ||||
\(56\) | −4.74441 | + | 0.0895178i | −0.633998 | + | 0.0119623i | ||||
\(57\) | 4.08934 | + | 13.9734i | 0.541647 | + | 1.85082i | ||||
\(58\) | 1.10962 | + | 2.40858i | 0.145701 | + | 0.316263i | ||||
\(59\) | −0.303414 | + | 0.567648i | −0.0395011 | + | 0.0739014i | −0.900897 | − | 0.434032i | \(-0.857090\pi\) |
0.861396 | + | 0.507934i | \(0.169590\pi\) | |||||||
\(60\) | 4.32189 | + | 4.58903i | 0.557953 | + | 0.592441i | ||||
\(61\) | 7.67548 | − | 0.755969i | 0.982745 | − | 0.0967919i | 0.406136 | − | 0.913813i | \(-0.366876\pi\) |
0.576608 | + | 0.817021i | \(0.304376\pi\) | |||||||
\(62\) | −3.83054 | − | 11.0555i | −0.486479 | − | 1.40405i | ||||
\(63\) | 2.87791 | − | 4.12913i | 0.362582 | − | 0.520222i | ||||
\(64\) | 7.27029 | − | 3.33810i | 0.908786 | − | 0.417262i | ||||
\(65\) | −9.66263 | −1.19850 | ||||||||
\(66\) | 6.01647 | + | 5.67508i | 0.740576 | + | 0.698555i | ||||
\(67\) | −0.0194995 | − | 0.197982i | −0.00238224 | − | 0.0241873i | 0.993920 | − | 0.110104i | \(-0.0351183\pi\) |
−0.996302 | + | 0.0859163i | \(0.972618\pi\) | |||||||
\(68\) | 2.07118 | + | 1.16131i | 0.251167 | + | 0.140830i | ||||
\(69\) | −0.131430 | + | 13.3800i | −0.0158223 | + | 1.61077i | ||||
\(70\) | −1.80660 | − | 3.92145i | −0.215929 | − | 0.468703i | ||||
\(71\) | −6.77976 | − | 1.34858i | −0.804610 | − | 0.160047i | −0.224382 | − | 0.974501i | \(-0.572036\pi\) |
−0.580228 | + | 0.814454i | \(0.697036\pi\) | |||||||
\(72\) | −1.66188 | + | 8.32095i | −0.195855 | + | 0.980633i | ||||
\(73\) | −0.818894 | − | 4.11686i | −0.0958442 | − | 0.481842i | −0.998657 | − | 0.0518078i | \(-0.983502\pi\) |
0.902813 | − | 0.430034i | \(-0.141498\pi\) | |||||||
\(74\) | −1.53632 | + | 9.68387i | −0.178594 | + | 1.12573i | ||||
\(75\) | 1.14567 | − | 2.69083i | 0.132291 | − | 0.310711i | ||||
\(76\) | 6.11940 | + | 15.6586i | 0.701943 | + | 1.79616i | ||||
\(77\) | −2.67035 | − | 4.99587i | −0.304314 | − | 0.569332i | ||||
\(78\) | −7.53856 | − | 10.5990i | −0.853574 | − | 1.20010i | ||||
\(79\) | 2.06229 | − | 4.97880i | 0.232025 | − | 0.560159i | −0.764390 | − | 0.644754i | \(-0.776960\pi\) |
0.996415 | + | 0.0845952i | \(0.0269597\pi\) | |||||||
\(80\) | 5.43615 | + | 4.84067i | 0.607781 | + | 0.541204i | ||||
\(81\) | −6.10907 | − | 6.60903i | −0.678786 | − | 0.734336i | ||||
\(82\) | 4.81767 | − | 2.82203i | 0.532023 | − | 0.311641i | ||||
\(83\) | 15.1768 | + | 4.60384i | 1.66587 | + | 0.505337i | 0.975848 | − | 0.218450i | \(-0.0700999\pi\) |
0.690024 | + | 0.723786i | \(0.257600\pi\) | |||||||
\(84\) | 2.89199 | − | 5.04109i | 0.315542 | − | 0.550028i | ||||
\(85\) | −0.211769 | + | 2.15013i | −0.0229696 | + | 0.233214i | ||||
\(86\) | 6.61444 | − | 10.7876i | 0.713253 | − | 1.16325i | ||||
\(87\) | −3.22897 | − | 0.350082i | −0.346182 | − | 0.0375328i | ||||
\(88\) | 7.49537 | + | 5.91823i | 0.799009 | + | 0.630885i | ||||
\(89\) | −0.0260938 | − | 0.0390521i | −0.00276594 | − | 0.00413952i | 0.830084 | − | 0.557638i | \(-0.188292\pi\) |
−0.832850 | + | 0.553499i | \(0.813292\pi\) | |||||||
\(90\) | −7.54161 | + | 1.65257i | −0.794956 | + | 0.174197i | ||||
\(91\) | 2.58596 | + | 8.52476i | 0.271082 | + | 0.893638i | ||||
\(92\) | 1.20435 | + | 15.4037i | 0.125562 | + | 1.60594i | ||||
\(93\) | 14.0264 | + | 2.93354i | 1.45447 | + | 0.304194i | ||||
\(94\) | −0.696536 | + | 11.7598i | −0.0718422 | + | 1.21293i | ||||
\(95\) | −10.8164 | + | 10.8164i | −1.10974 | + | 1.10974i | ||||
\(96\) | −1.06858 | + | 9.73951i | −0.109062 | + | 0.994035i | ||||
\(97\) | −11.2985 | − | 11.2985i | −1.14719 | − | 1.14719i | −0.987103 | − | 0.160084i | \(-0.948823\pi\) |
−0.160084 | − | 0.987103i | \(-0.551177\pi\) | |||||||
\(98\) | 4.42546 | − | 3.93054i | 0.447039 | − | 0.397044i | ||||
\(99\) | −9.74922 | + | 2.74946i | −0.979833 | + | 0.276331i | ||||
\(100\) | 1.04520 | − | 3.21119i | 0.104520 | − | 0.321119i | ||||
\(101\) | −6.58065 | + | 1.99622i | −0.654799 | + | 0.198631i | −0.600166 | − | 0.799875i | \(-0.704899\pi\) |
−0.0546330 | + | 0.998506i | \(0.517399\pi\) | |||||||
\(102\) | −2.52370 | + | 1.44519i | −0.249883 | + | 0.143095i | ||||
\(103\) | 3.60607 | − | 2.40950i | 0.355317 | − | 0.237415i | −0.365082 | − | 0.930975i | \(-0.618959\pi\) |
0.720398 | + | 0.693560i | \(0.243959\pi\) | |||||||
\(104\) | −9.74499 | − | 11.4277i | −0.955574 | − | 1.12058i | ||||
\(105\) | 5.25714 | + | 0.569974i | 0.513044 | + | 0.0556238i | ||||
\(106\) | −6.25038 | + | 1.49889i | −0.607090 | + | 0.145585i | ||||
\(107\) | 0.893397 | + | 0.0879919i | 0.0863679 | + | 0.00850650i | 0.141109 | − | 0.989994i | \(-0.454933\pi\) |
−0.0547409 | + | 0.998501i | \(0.517433\pi\) | |||||||
\(108\) | −7.69650 | − | 6.98311i | −0.740596 | − | 0.671950i | ||||
\(109\) | 0.710494 | − | 2.34218i | 0.0680530 | − | 0.224341i | −0.916317 | − | 0.400454i | \(-0.868852\pi\) |
0.984370 | + | 0.176113i | \(0.0563525\pi\) | |||||||
\(110\) | −2.19618 | + | 8.40737i | −0.209397 | + | 0.801611i | ||||
\(111\) | −9.20750 | − | 7.70899i | −0.873937 | − | 0.731705i | ||||
\(112\) | 2.81579 | − | 6.09148i | 0.266067 | − | 0.575591i | ||||
\(113\) | 5.06314 | + | 2.09722i | 0.476301 | + | 0.197290i | 0.607901 | − | 0.794013i | \(-0.292012\pi\) |
−0.131601 | + | 0.991303i | \(0.542012\pi\) | |||||||
\(114\) | −20.3032 | − | 3.42583i | −1.90157 | − | 0.320858i | ||||
\(115\) | −12.3982 | + | 6.62699i | −1.15614 | + | 0.617970i | ||||
\(116\) | −3.74958 | − | 0.0755557i | −0.348140 | − | 0.00701517i | ||||
\(117\) | 15.8805 | − | 1.24966i | 1.46815 | − | 0.115531i | ||||
\(118\) | −0.534847 | − | 0.736550i | −0.0492366 | − | 0.0678050i | ||||
\(119\) | 1.95360 | − | 0.388596i | 0.179087 | − | 0.0356225i | ||||
\(120\) | −8.50730 | + | 2.66491i | −0.776606 | + | 0.243272i | ||||
\(121\) | −0.0781819 | + | 0.393047i | −0.00710745 | + | 0.0357316i | ||||
\(122\) | −3.77782 | + | 10.2322i | −0.342028 | + | 0.926376i | ||||
\(123\) | −0.0671672 | + | 6.83785i | −0.00605626 | + | 0.616548i | ||||
\(124\) | 16.4310 | + | 1.95328i | 1.47555 | + | 0.175410i | ||||
\(125\) | 12.1128 | − | 1.19301i | 1.08340 | − | 0.106706i | ||||
\(126\) | 3.47629 | + | 6.21125i | 0.309693 | + | 0.553342i | ||||
\(127\) | 2.21941i | 0.196941i | 0.995140 | + | 0.0984704i | \(0.0313950\pi\) | ||||
−0.995140 | + | 0.0984704i | \(0.968605\pi\) | |||||||
\(128\) | −0.242429 | + | 11.3111i | −0.0214279 | + | 0.999770i | ||||
\(129\) | 7.17104 | + | 13.7390i | 0.631375 | + | 1.20965i | ||||
\(130\) | 5.96669 | − | 12.2935i | 0.523313 | − | 1.07822i | ||||
\(131\) | −0.863079 | − | 8.76298i | −0.0754075 | − | 0.765625i | −0.956315 | − | 0.292337i | \(-0.905567\pi\) |
0.880908 | − | 0.473288i | \(-0.156933\pi\) | |||||||
\(132\) | −10.9355 | + | 4.15024i | −0.951810 | + | 0.361232i | ||||
\(133\) | 12.4374 | + | 6.64793i | 1.07846 | + | 0.576449i | ||||
\(134\) | 0.263929 | + | 0.0974453i | 0.0228000 | + | 0.00841799i | ||||
\(135\) | 3.01025 | − | 8.96374i | 0.259081 | − | 0.771476i | ||||
\(136\) | −2.75646 | + | 1.91800i | −0.236365 | + | 0.164467i | ||||
\(137\) | 2.75626 | + | 13.8566i | 0.235483 | + | 1.18385i | 0.899766 | + | 0.436372i | \(0.143737\pi\) |
−0.664283 | + | 0.747481i | \(0.731263\pi\) | |||||||
\(138\) | −16.9420 | − | 8.42941i | −1.44220 | − | 0.717559i | ||||
\(139\) | 12.2064 | − | 10.0175i | 1.03533 | − | 0.849673i | 0.0465288 | − | 0.998917i | \(-0.485184\pi\) |
0.988800 | + | 0.149244i | \(0.0476841\pi\) | |||||||
\(140\) | 6.10475 | + | 0.123013i | 0.515946 | + | 0.0103965i | ||||
\(141\) | −11.9171 | − | 8.13320i | −1.00360 | − | 0.684939i | ||||
\(142\) | 5.90229 | − | 7.79299i | 0.495309 | − | 0.653974i | ||||
\(143\) | 6.86103 | − | 16.5640i | 0.573748 | − | 1.38515i | ||||
\(144\) | −9.56034 | − | 7.25258i | −0.796695 | − | 0.604381i | ||||
\(145\) | −1.30585 | − | 3.15260i | −0.108445 | − | 0.261809i | ||||
\(146\) | 5.74345 | + | 1.50031i | 0.475332 | + | 0.124166i | ||||
\(147\) | 1.34434 | + | 7.12345i | 0.110880 | + | 0.587532i | ||||
\(148\) | −11.3719 | − | 7.93444i | −0.934764 | − | 0.652207i | ||||
\(149\) | 1.07456 | − | 10.9102i | 0.0880315 | − | 0.893799i | −0.845183 | − | 0.534478i | \(-0.820508\pi\) |
0.933214 | − | 0.359321i | \(-0.116992\pi\) | |||||||
\(150\) | 2.71603 | + | 3.11921i | 0.221763 | + | 0.254683i | ||||
\(151\) | 8.55472 | − | 12.8030i | 0.696174 | − | 1.04190i | −0.299952 | − | 0.953954i | \(-0.596971\pi\) |
0.996126 | − | 0.0879430i | \(-0.0280293\pi\) | |||||||
\(152\) | −23.7008 | − | 1.88364i | −1.92239 | − | 0.152783i | ||||
\(153\) | 0.0699674 | − | 3.56111i | 0.00565653 | − | 0.287899i | ||||
\(154\) | 8.00507 | − | 0.312465i | 0.645067 | − | 0.0251791i | ||||
\(155\) | 4.37037 | + | 14.4072i | 0.351037 | + | 1.15721i | ||||
\(156\) | 18.1399 | − | 3.04626i | 1.45235 | − | 0.243896i | ||||
\(157\) | 2.16720 | + | 1.77858i | 0.172961 | + | 0.141946i | 0.716891 | − | 0.697185i | \(-0.245564\pi\) |
−0.543930 | + | 0.839131i | \(0.683064\pi\) | |||||||
\(158\) | 5.06095 | + | 5.69822i | 0.402628 | + | 0.453326i | ||||
\(159\) | 2.35905 | − | 7.51038i | 0.187085 | − | 0.595612i | ||||
\(160\) | −9.51552 | + | 3.92717i | −0.752268 | + | 0.310470i | ||||
\(161\) | 9.16467 | + | 9.16467i | 0.722277 | + | 0.722277i | ||||
\(162\) | 12.1809 | − | 3.69135i | 0.957021 | − | 0.290020i | ||||
\(163\) | −3.16423 | − | 2.59681i | −0.247841 | − | 0.203398i | 0.502268 | − | 0.864712i | \(-0.332499\pi\) |
−0.750109 | + | 0.661314i | \(0.769999\pi\) | |||||||
\(164\) | 0.615480 | + | 7.87202i | 0.0480609 | + | 0.614702i | ||||
\(165\) | −7.45103 | − | 7.59886i | −0.580062 | − | 0.591571i | ||||
\(166\) | −15.2291 | + | 16.4663i | −1.18201 | + | 1.27803i | ||||
\(167\) | 17.2025 | − | 11.4944i | 1.33117 | − | 0.889461i | 0.332610 | − | 0.943065i | \(-0.392071\pi\) |
0.998562 | + | 0.0536040i | \(0.0170709\pi\) | |||||||
\(168\) | 4.62785 | + | 6.79229i | 0.357047 | + | 0.524037i | ||||
\(169\) | −8.44168 | + | 12.6339i | −0.649360 | + | 0.971836i | ||||
\(170\) | −2.60479 | − | 1.59714i | −0.199778 | − | 0.122495i | ||||
\(171\) | 16.3778 | − | 19.1756i | 1.25244 | − | 1.46639i | ||||
\(172\) | 9.64036 | + | 15.0768i | 0.735071 | + | 1.14959i | ||||
\(173\) | 5.47607 | − | 18.0522i | 0.416338 | − | 1.37248i | −0.458770 | − | 0.888555i | \(-0.651710\pi\) |
0.875108 | − | 0.483927i | \(-0.160790\pi\) | |||||||
\(174\) | 2.43930 | − | 3.89197i | 0.184923 | − | 0.295050i | ||||
\(175\) | −1.08407 | − | 2.61717i | −0.0819479 | − | 0.197840i | ||||
\(176\) | −12.1580 | + | 5.88168i | −0.916446 | + | 0.443348i | ||||
\(177\) | 1.11048 | − | 0.0983698i | 0.0834691 | − | 0.00739393i | ||||
\(178\) | 0.0657982 | − | 0.00908380i | 0.00493178 | − | 0.000680859i | ||||
\(179\) | −13.5154 | + | 7.22413i | −1.01019 | + | 0.539957i | −0.891522 | − | 0.452977i | \(-0.850362\pi\) |
−0.118666 | + | 0.992934i | \(0.537862\pi\) | |||||||
\(180\) | 2.55443 | − | 10.6155i | 0.190396 | − | 0.791232i | ||||
\(181\) | −8.80209 | + | 7.22369i | −0.654254 | + | 0.536933i | −0.901915 | − | 0.431914i | \(-0.857838\pi\) |
0.247660 | + | 0.968847i | \(0.420338\pi\) | |||||||
\(182\) | −12.4427 | − | 1.97400i | −0.922315 | − | 0.146323i | ||||
\(183\) | −8.37280 | − | 10.4091i | −0.618935 | − | 0.769464i | ||||
\(184\) | −20.3414 | − | 7.97953i | −1.49959 | − | 0.588259i | ||||
\(185\) | 2.46138 | − | 12.3742i | 0.180965 | − | 0.909770i | ||||
\(186\) | −12.3936 | + | 16.0340i | −0.908744 | + | 1.17567i | ||||
\(187\) | −3.53545 | − | 1.88974i | −0.258538 | − | 0.138191i | ||||
\(188\) | −14.5316 | − | 8.14788i | −1.05983 | − | 0.594245i | ||||
\(189\) | −8.71380 | − | 0.256849i | −0.633836 | − | 0.0186830i | ||||
\(190\) | −7.08232 | − | 20.4406i | −0.513805 | − | 1.48292i | ||||
\(191\) | − | 6.69976i | − | 0.484777i | −0.970179 | − | 0.242389i | \(-0.922069\pi\) | ||
0.970179 | − | 0.242389i | \(-0.0779309\pi\) | |||||||
\(192\) | −11.7315 | − | 7.37370i | −0.846649 | − | 0.532151i | ||||
\(193\) | 4.56182i | 0.328367i | 0.986430 | + | 0.164183i | \(0.0524989\pi\) | ||||
−0.986430 | + | 0.164183i | \(0.947501\pi\) | |||||||
\(194\) | 21.3517 | − | 7.39798i | 1.53296 | − | 0.531144i | ||||
\(195\) | 9.16098 | + | 14.0063i | 0.656031 | + | 1.00301i | ||||
\(196\) | 2.26800 | + | 8.05754i | 0.162000 | + | 0.575538i | ||||
\(197\) | −4.45139 | − | 2.37932i | −0.317148 | − | 0.169519i | 0.305140 | − | 0.952308i | \(-0.401297\pi\) |
−0.622288 | + | 0.782788i | \(0.713797\pi\) | |||||||
\(198\) | 2.52209 | − | 14.1015i | 0.179237 | − | 1.00215i | ||||
\(199\) | −0.831696 | + | 4.18122i | −0.0589574 | + | 0.296399i | −0.999003 | − | 0.0446509i | \(-0.985782\pi\) |
0.940045 | + | 0.341050i | \(0.110782\pi\) | |||||||
\(200\) | 3.44012 | + | 3.31271i | 0.243253 | + | 0.234244i | ||||
\(201\) | −0.268493 | + | 0.215968i | −0.0189380 | + | 0.0152332i | ||||
\(202\) | 1.52382 | − | 9.60509i | 0.107216 | − | 0.675812i | ||||
\(203\) | −2.43187 | + | 1.99579i | −0.170684 | + | 0.140077i | ||||
\(204\) | −0.280295 | − | 4.10325i | −0.0196246 | − | 0.287285i | ||||
\(205\) | −6.33609 | + | 3.38671i | −0.442532 | + | 0.236538i | ||||
\(206\) | 0.838797 | + | 6.07579i | 0.0584417 | + | 0.423321i | ||||
\(207\) | 19.5194 | − | 12.4949i | 1.35669 | − | 0.868454i | ||||
\(208\) | 20.5568 | − | 5.34170i | 1.42535 | − | 0.370380i | ||||
\(209\) | −10.8616 | − | 26.2221i | −0.751310 | − | 1.81382i | ||||
\(210\) | −3.97146 | + | 6.33658i | −0.274057 | + | 0.437265i | ||||
\(211\) | −1.23609 | + | 4.07486i | −0.0850962 | + | 0.280525i | −0.989153 | − | 0.146887i | \(-0.953075\pi\) |
0.904057 | + | 0.427412i | \(0.140575\pi\) | |||||||
\(212\) | 1.95262 | − | 8.87779i | 0.134106 | − | 0.609729i | ||||
\(213\) | 4.47298 | + | 11.1060i | 0.306483 | + | 0.760973i | ||||
\(214\) | −0.663625 | + | 1.08231i | −0.0453644 | + | 0.0739855i | ||||
\(215\) | −9.04612 | + | 13.5385i | −0.616940 | + | 0.923316i | ||||
\(216\) | 13.6371 | − | 5.48001i | 0.927885 | − | 0.372867i | ||||
\(217\) | 11.5410 | − | 7.71144i | 0.783453 | − | 0.523487i | ||||
\(218\) | 2.54118 | + | 2.35025i | 0.172110 | + | 0.159179i | ||||
\(219\) | −5.19113 | + | 5.09014i | −0.350784 | + | 0.343959i | ||||
\(220\) | −9.34037 | − | 7.98571i | −0.629727 | − | 0.538397i | ||||
\(221\) | 4.87323 | + | 3.99936i | 0.327809 | + | 0.269026i | ||||
\(222\) | 15.4936 | − | 6.95418i | 1.03986 | − | 0.466734i | ||||
\(223\) | −10.4578 | − | 10.4578i | −0.700305 | − | 0.700305i | 0.264171 | − | 0.964476i | \(-0.414902\pi\) |
−0.964476 | + | 0.264171i | \(0.914902\pi\) | |||||||
\(224\) | 6.01130 | + | 7.34397i | 0.401647 | + | 0.490690i | ||||
\(225\) | −4.98664 | + | 0.890449i | −0.332443 | + | 0.0593633i | ||||
\(226\) | −5.79475 | + | 5.14669i | −0.385461 | + | 0.342353i | ||||
\(227\) | −7.33836 | − | 6.02244i | −0.487064 | − | 0.399723i | 0.358556 | − | 0.933508i | \(-0.383269\pi\) |
−0.845620 | + | 0.533785i | \(0.820769\pi\) | |||||||
\(228\) | 16.8959 | − | 23.7159i | 1.11896 | − | 1.57062i | ||||
\(229\) | 0.189861 | + | 0.625888i | 0.0125464 | + | 0.0413598i | 0.962990 | − | 0.269537i | \(-0.0868706\pi\) |
−0.950444 | + | 0.310897i | \(0.899371\pi\) | |||||||
\(230\) | −0.775443 | − | 19.8662i | −0.0511312 | − | 1.30994i | ||||
\(231\) | −4.70995 | + | 8.60725i | −0.309892 | + | 0.566315i | ||||
\(232\) | 2.41150 | − | 4.72386i | 0.158323 | − | 0.310136i | ||||
\(233\) | −1.65456 | + | 2.47622i | −0.108394 | + | 0.162223i | −0.881701 | − | 0.471809i | \(-0.843601\pi\) |
0.773307 | + | 0.634032i | \(0.218601\pi\) | |||||||
\(234\) | −8.21632 | + | 20.9761i | −0.537118 | + | 1.37125i | ||||
\(235\) | 1.48580 | − | 15.0855i | 0.0969226 | − | 0.984072i | ||||
\(236\) | 1.26737 | − | 0.225652i | 0.0824985 | − | 0.0146887i | ||||
\(237\) | −9.17215 | + | 1.73097i | −0.595795 | + | 0.112439i | ||||
\(238\) | −0.711953 | + | 2.72549i | −0.0461490 | + | 0.176667i | ||||
\(239\) | 2.77956 | + | 6.71046i | 0.179795 | + | 0.434064i | 0.987923 | − | 0.154943i | \(-0.0495193\pi\) |
−0.808128 | + | 0.589006i | \(0.799519\pi\) | |||||||
\(240\) | 1.86277 | − | 12.4692i | 0.120241 | − | 0.804886i | ||||
\(241\) | −5.39916 | + | 13.0347i | −0.347790 | + | 0.839640i | 0.649090 | + | 0.760712i | \(0.275150\pi\) |
−0.996880 | + | 0.0789284i | \(0.974850\pi\) | |||||||
\(242\) | −0.451788 | − | 0.342177i | −0.0290420 | − | 0.0219959i | ||||
\(243\) | −3.78807 | + | 15.1212i | −0.243005 | + | 0.970025i | ||||
\(244\) | −10.6853 | − | 11.1248i | −0.684059 | − | 0.712194i | ||||
\(245\) | −5.88744 | + | 4.83169i | −0.376135 | + | 0.308686i | ||||
\(246\) | −8.65816 | − | 4.30784i | −0.552024 | − | 0.274658i | ||||
\(247\) | 8.70773 | + | 43.7767i | 0.554059 | + | 2.78544i | ||||
\(248\) | −12.6313 | + | 19.6987i | −0.802090 | + | 1.25087i | ||||
\(249\) | −7.71550 | − | 26.3641i | −0.488950 | − | 1.67076i | ||||
\(250\) | −5.96185 | + | 16.1475i | −0.377060 | + | 1.02126i | ||||
\(251\) | 22.6244 | + | 12.0930i | 1.42804 | + | 0.763302i | 0.990709 | − | 0.135999i | \(-0.0434244\pi\) |
0.437329 | + | 0.899301i | \(0.355924\pi\) | |||||||
\(252\) | −10.0490 | + | 0.587351i | −0.633031 | + | 0.0369996i | ||||
\(253\) | −2.55674 | − | 25.9590i | −0.160741 | − | 1.63203i | ||||
\(254\) | −2.82371 | − | 1.37049i | −0.177175 | − | 0.0859922i | ||||
\(255\) | 3.31745 | − | 1.73153i | 0.207747 | − | 0.108433i | ||||
\(256\) | −14.2412 | − | 7.29307i | −0.890074 | − | 0.455817i | ||||
\(257\) | 7.85417i | 0.489930i | 0.969532 | + | 0.244965i | \(0.0787764\pi\) | ||||
−0.969532 | + | 0.244965i | \(0.921224\pi\) | |||||||
\(258\) | −21.9080 | + | 0.639696i | −1.36393 | + | 0.0398258i | ||||
\(259\) | −11.5758 | + | 1.14011i | −0.719283 | + | 0.0708432i | ||||
\(260\) | 11.9564 | + | 15.1826i | 0.741502 | + | 0.941584i | ||||
\(261\) | 2.55388 | + | 5.01240i | 0.158081 | + | 0.310260i | ||||
\(262\) | 11.6819 | + | 4.31308i | 0.721710 | + | 0.266463i | ||||
\(263\) | −2.87218 | + | 14.4394i | −0.177106 | + | 0.890372i | 0.785374 | + | 0.619021i | \(0.212470\pi\) |
−0.962480 | + | 0.271351i | \(0.912530\pi\) | |||||||
\(264\) | 1.47241 | − | 16.4757i | 0.0906205 | − | 1.01401i | ||||
\(265\) | 8.11183 | − | 1.61354i | 0.498306 | − | 0.0991192i | ||||
\(266\) | −16.1381 | + | 11.7187i | −0.989493 | + | 0.718521i | ||||
\(267\) | −0.0318681 | + | 0.0748485i | −0.00195030 | + | 0.00458065i | ||||
\(268\) | −0.286954 | + | 0.275618i | −0.0175285 | + | 0.0168360i | ||||
\(269\) | 0.172638 | − | 0.0922767i | 0.0105259 | − | 0.00562621i | −0.466125 | − | 0.884719i | \(-0.654350\pi\) |
0.476651 | + | 0.879092i | \(0.341850\pi\) | |||||||
\(270\) | 9.54553 | + | 9.36501i | 0.580923 | + | 0.569936i | ||||
\(271\) | −6.42238 | − | 2.66024i | −0.390132 | − | 0.161598i | 0.178990 | − | 0.983851i | \(-0.442717\pi\) |
−0.569122 | + | 0.822253i | \(0.692717\pi\) | |||||||
\(272\) | −0.738107 | − | 4.69136i | −0.0447543 | − | 0.284455i | ||||
\(273\) | 9.90519 | − | 11.8306i | 0.599490 | − | 0.716021i | ||||
\(274\) | −19.3315 | − | 5.04978i | −1.16786 | − | 0.305068i | ||||
\(275\) | −1.65498 | + | 5.45575i | −0.0997992 | + | 0.328994i | ||||
\(276\) | 21.1863 | − | 16.3497i | 1.27526 | − | 0.984137i | ||||
\(277\) | −18.4874 | − | 1.82085i | −1.11080 | − | 0.109404i | −0.474067 | − | 0.880489i | \(-0.657215\pi\) |
−0.636733 | + | 0.771084i | \(0.719715\pi\) | |||||||
\(278\) | 5.20759 | + | 21.7157i | 0.312330 | + | 1.30242i | ||||
\(279\) | −9.04596 | − | 23.1129i | −0.541567 | − | 1.38374i | ||||
\(280\) | −3.92620 | + | 7.69098i | −0.234636 | + | 0.459624i | ||||
\(281\) | −18.2322 | + | 12.1824i | −1.08764 | + | 0.726738i | −0.964084 | − | 0.265599i | \(-0.914430\pi\) |
−0.123557 | + | 0.992337i | \(0.539430\pi\) | |||||||
\(282\) | 17.7065 | − | 10.1396i | 1.05441 | − | 0.603805i | ||||
\(283\) | 25.4859 | − | 7.73106i | 1.51498 | − | 0.459564i | 0.580104 | − | 0.814543i | \(-0.303012\pi\) |
0.934874 | + | 0.354979i | \(0.115512\pi\) | |||||||
\(284\) | 6.27018 | + | 12.3215i | 0.372067 | + | 0.731149i | ||||
\(285\) | 25.9336 | + | 5.42384i | 1.53617 | + | 0.321281i | ||||
\(286\) | 16.8373 | + | 18.9574i | 0.995611 | + | 1.12098i | ||||
\(287\) | 4.68359 | + | 4.68359i | 0.276464 | + | 0.276464i | ||||
\(288\) | 15.1308 | − | 7.68493i | 0.891592 | − | 0.452839i | ||||
\(289\) | −11.0241 | + | 11.0241i | −0.648475 | + | 0.648475i | ||||
\(290\) | 4.81734 | + | 0.285333i | 0.282884 | + | 0.0167553i | ||||
\(291\) | −5.66558 | + | 27.0894i | −0.332122 | + | 1.58801i | ||||
\(292\) | −5.45540 | + | 6.38083i | −0.319253 | + | 0.373410i | ||||
\(293\) | −7.45630 | − | 24.5801i | −0.435602 | − | 1.43599i | −0.850430 | − | 0.526088i | \(-0.823658\pi\) |
0.414828 | − | 0.909900i | \(-0.363842\pi\) | |||||||
\(294\) | −9.89314 | − | 2.68837i | −0.576980 | − | 0.156789i | ||||
\(295\) | 0.650729 | + | 0.973884i | 0.0378869 | + | 0.0567017i | ||||
\(296\) | 17.1170 | − | 9.56868i | 0.994904 | − | 0.556168i | ||||
\(297\) | 13.2285 | + | 11.5251i | 0.767595 | + | 0.668752i | ||||
\(298\) | 13.2173 | + | 8.10421i | 0.765656 | + | 0.469464i | ||||
\(299\) | −4.02071 | + | 40.8230i | −0.232524 | + | 2.36085i | ||||
\(300\) | −5.64566 | + | 1.52943i | −0.325952 | + | 0.0883017i | ||||
\(301\) | 14.3652 | + | 4.35762i | 0.827994 | + | 0.251169i | ||||
\(302\) | 11.0065 | + | 18.7899i | 0.633352 | + | 1.08124i | ||||
\(303\) | 9.13259 | + | 7.64627i | 0.524653 | + | 0.439267i | ||||
\(304\) | 17.0318 | − | 28.9909i | 0.976842 | − | 1.66274i | ||||
\(305\) | 5.37098 | − | 12.9667i | 0.307541 | − | 0.742471i | ||||
\(306\) | 4.48752 | + | 2.28801i | 0.256535 | + | 0.130797i | ||||
\(307\) | −14.2324 | − | 26.6270i | −0.812288 | − | 1.51968i | −0.853833 | − | 0.520548i | \(-0.825728\pi\) |
0.0415442 | − | 0.999137i | \(-0.486772\pi\) | |||||||
\(308\) | −4.54561 | + | 10.3776i | −0.259010 | + | 0.591320i | ||||
\(309\) | −6.91150 | − | 2.94270i | −0.393181 | − | 0.167404i | ||||
\(310\) | −21.0287 | − | 3.33614i | −1.19435 | − | 0.189480i | ||||
\(311\) | 1.47820 | + | 7.43139i | 0.0838208 | + | 0.421396i | 0.999797 | + | 0.0201624i | \(0.00641832\pi\) |
−0.915976 | + | 0.401233i | \(0.868582\pi\) | |||||||
\(312\) | −7.32573 | + | 24.9601i | −0.414738 | + | 1.41309i | ||||
\(313\) | −21.8930 | − | 4.35479i | −1.23747 | − | 0.246147i | −0.467362 | − | 0.884066i | \(-0.654796\pi\) |
−0.770104 | + | 0.637919i | \(0.779796\pi\) | |||||||
\(314\) | −3.60109 | + | 1.65901i | −0.203221 | + | 0.0936232i | ||||
\(315\) | −4.15801 | − | 8.16076i | −0.234277 | − | 0.459807i | ||||
\(316\) | −10.3749 | + | 2.92028i | −0.583632 | + | 0.164278i | ||||
\(317\) | −0.367629 | − | 3.73260i | −0.0206481 | − | 0.209644i | −0.999973 | − | 0.00734993i | \(-0.997660\pi\) |
0.979325 | − | 0.202294i | \(-0.0648396\pi\) | |||||||
\(318\) | 8.09857 | + | 7.63904i | 0.454145 | + | 0.428376i | ||||
\(319\) | 6.33152 | 0.354497 | ||||||||
\(320\) | 0.879395 | − | 14.5314i | 0.0491597 | − | 0.812331i | ||||
\(321\) | −0.719468 | − | 1.37843i | −0.0401568 | − | 0.0769364i | ||||
\(322\) | −17.3192 | + | 6.00081i | −0.965162 | + | 0.334412i | ||||
\(323\) | 9.93203 | − | 0.978219i | 0.552633 | − | 0.0544296i | ||||
\(324\) | −2.82530 | + | 17.7769i | −0.156961 | + | 0.987605i | ||||
\(325\) | 4.22642 | − | 7.90707i | 0.234439 | − | 0.438605i | ||||
\(326\) | 5.25779 | − | 2.42224i | 0.291202 | − | 0.134155i | ||||
\(327\) | −4.06867 | + | 1.19071i | −0.224998 | + | 0.0658461i | ||||
\(328\) | −10.3955 | − | 4.07793i | −0.573993 | − | 0.225166i | ||||
\(329\) | −13.7067 | + | 2.72643i | −0.755675 | + | 0.150313i | ||||
\(330\) | 14.2689 | − | 4.78747i | 0.785476 | − | 0.263541i | ||||
\(331\) | −0.611628 | − | 0.745270i | −0.0336181 | − | 0.0409638i | 0.755930 | − | 0.654652i | \(-0.227185\pi\) |
−0.789548 | + | 0.613689i | \(0.789685\pi\) | |||||||
\(332\) | −11.5457 | − | 29.5436i | −0.633651 | − | 1.62141i | ||||
\(333\) | −2.44493 | + | 20.6553i | −0.133981 | + | 1.13190i | ||||
\(334\) | 4.00143 | + | 28.9842i | 0.218948 | + | 1.58594i | ||||
\(335\) | −0.334463 | − | 0.138539i | −0.0182737 | − | 0.00756921i | ||||
\(336\) | −11.4994 | + | 1.69366i | −0.627343 | + | 0.0923969i | ||||
\(337\) | −11.2478 | + | 4.65898i | −0.612705 | + | 0.253791i | −0.667385 | − | 0.744713i | \(-0.732586\pi\) |
0.0546796 | + | 0.998504i | \(0.482586\pi\) | |||||||
\(338\) | −10.8610 | − | 18.5416i | −0.590763 | − | 1.00853i | ||||
\(339\) | −1.76030 | − | 9.32752i | −0.0956062 | − | 0.506601i | ||||
\(340\) | 3.64047 | − | 2.32778i | 0.197432 | − | 0.126242i | ||||
\(341\) | −27.8005 | − | 2.73811i | −1.50548 | − | 0.148277i | ||||
\(342\) | 14.2833 | + | 32.6781i | 0.772354 | + | 1.76703i | ||||
\(343\) | 15.6030 | + | 10.4256i | 0.842485 | + | 0.562930i | ||||
\(344\) | −25.1348 | + | 2.95529i | −1.35518 | + | 0.159339i | ||||
\(345\) | 21.3606 | + | 11.6887i | 1.15001 | + | 0.629296i | ||||
\(346\) | 19.5859 | + | 18.1143i | 1.05295 | + | 0.973833i | ||||
\(347\) | 12.2172 | − | 3.70606i | 0.655856 | − | 0.198952i | 0.0552197 | − | 0.998474i | \(-0.482414\pi\) |
0.600636 | + | 0.799523i | \(0.294914\pi\) | |||||||
\(348\) | 3.44540 | + | 5.50677i | 0.184693 | + | 0.295194i | ||||
\(349\) | −1.00259 | + | 1.22166i | −0.0536676 | + | 0.0653941i | −0.799152 | − | 0.601128i | \(-0.794718\pi\) |
0.745485 | + | 0.666523i | \(0.232218\pi\) | |||||||
\(350\) | 3.99919 | + | 0.236873i | 0.213765 | + | 0.0126614i | ||||
\(351\) | −16.8675 | − | 21.8345i | −0.900318 | − | 1.16544i | ||||
\(352\) | 0.0244841 | − | 19.1003i | 0.00130500 | − | 1.01805i | ||||
\(353\) | −5.57536 | + | 5.57536i | −0.296747 | + | 0.296747i | −0.839738 | − | 0.542991i | \(-0.817292\pi\) |
0.542991 | + | 0.839738i | \(0.317292\pi\) | |||||||
\(354\) | −0.560572 | + | 1.47359i | −0.0297941 | + | 0.0783203i | ||||
\(355\) | −7.98015 | + | 9.72384i | −0.423543 | + | 0.516088i | ||||
\(356\) | −0.0290734 | + | 0.0893228i | −0.00154089 | + | 0.00473410i | ||||
\(357\) | −2.41546 | − | 2.46339i | −0.127840 | − | 0.130376i | ||||
\(358\) | −0.845316 | − | 21.6563i | −0.0446763 | − | 1.14457i | ||||
\(359\) | 11.2306 | + | 16.8078i | 0.592730 | + | 0.887084i | 0.999652 | − | 0.0263795i | \(-0.00839783\pi\) |
−0.406922 | + | 0.913463i | \(0.633398\pi\) | |||||||
\(360\) | 11.9285 | + | 9.80503i | 0.628687 | + | 0.516770i | ||||
\(361\) | 42.9535 | + | 28.7006i | 2.26071 | + | 1.51056i | ||||
\(362\) | −3.75523 | − | 15.6593i | −0.197371 | − | 0.823037i | ||||
\(363\) | 0.643857 | − | 0.259315i | 0.0337937 | − | 0.0136105i | ||||
\(364\) | 10.1949 | − | 14.6116i | 0.534357 | − | 0.765857i | ||||
\(365\) | −7.30952 | − | 2.21732i | −0.382598 | − | 0.116060i | ||||
\(366\) | 18.4135 | − | 4.22488i | 0.962490 | − | 0.220838i | ||||
\(367\) | 14.4127 | − | 5.96994i | 0.752337 | − | 0.311628i | 0.0266424 | − | 0.999645i | \(-0.491518\pi\) |
0.725695 | + | 0.688017i | \(0.241518\pi\) | |||||||
\(368\) | 22.7131 | − | 20.9526i | 1.18400 | − | 1.09223i | ||||
\(369\) | 9.97534 | − | 6.38549i | 0.519296 | − | 0.332415i | ||||
\(370\) | 14.2235 | + | 10.7727i | 0.739446 | + | 0.560044i | ||||
\(371\) | −3.59446 | − | 6.72477i | −0.186615 | − | 0.349133i | ||||
\(372\) | −12.7467 | − | 25.6692i | −0.660883 | − | 1.33088i | ||||
\(373\) | 4.16685 | + | 5.07732i | 0.215751 | + | 0.262894i | 0.869628 | − | 0.493707i | \(-0.164359\pi\) |
−0.653877 | + | 0.756601i | \(0.726859\pi\) | |||||||
\(374\) | 4.58742 | − | 3.33116i | 0.237210 | − | 0.172250i | ||||
\(375\) | −13.2133 | − | 16.4268i | −0.682330 | − | 0.848277i | ||||
\(376\) | 19.3397 | − | 13.4569i | 0.997367 | − | 0.693987i | ||||
\(377\) | −9.76559 | − | 1.94250i | −0.502953 | − | 0.100044i | ||||
\(378\) | 5.70757 | − | 10.9278i | 0.293566 | − | 0.562064i | ||||
\(379\) | −10.3803 | + | 19.4203i | −0.533202 | + | 0.997551i | 0.460728 | + | 0.887541i | \(0.347588\pi\) |
−0.993930 | + | 0.110010i | \(0.964912\pi\) | |||||||
\(380\) | 30.3795 | + | 3.61145i | 1.55844 | + | 0.185263i | ||||
\(381\) | 3.21710 | − | 2.10419i | 0.164817 | − | 0.107801i | ||||
\(382\) | 8.52395 | + | 4.13711i | 0.436123 | + | 0.211673i | ||||
\(383\) | −37.9545 | −1.93938 | −0.969692 | − | 0.244331i | \(-0.921432\pi\) | ||||
−0.969692 | + | 0.244331i | \(0.921432\pi\) | |||||||
\(384\) | 16.6256 | − | 10.3725i | 0.848424 | − | 0.529318i | ||||
\(385\) | −10.3084 | −0.525367 | ||||||||
\(386\) | −5.80390 | − | 2.81693i | −0.295411 | − | 0.143378i | ||||
\(387\) | 13.1163 | − | 23.4204i | 0.666741 | − | 1.19052i | ||||
\(388\) | −3.77241 | + | 31.7335i | −0.191515 | + | 1.61103i | ||||
\(389\) | 4.15867 | − | 7.78032i | 0.210853 | − | 0.394478i | −0.754156 | − | 0.656695i | \(-0.771954\pi\) |
0.965009 | + | 0.262217i | \(0.0844537\pi\) | |||||||
\(390\) | −23.4768 | + | 3.00641i | −1.18879 | + | 0.152236i | ||||
\(391\) | 8.99580 | + | 1.78938i | 0.454937 | + | 0.0904926i | ||||
\(392\) | −11.6519 | − | 2.09002i | −0.588511 | − | 0.105562i | ||||
\(393\) | −11.8839 | + | 9.55910i | −0.599465 | + | 0.482193i | ||||
\(394\) | 5.77590 | − | 4.19417i | 0.290985 | − | 0.211299i | ||||
\(395\) | −6.22129 | − | 7.58066i | −0.313027 | − | 0.381424i | ||||
\(396\) | 16.3836 | + | 11.9165i | 0.823309 | + | 0.598827i | ||||
\(397\) | −9.81204 | − | 18.3570i | −0.492452 | − | 0.921314i | −0.998277 | − | 0.0586772i | \(-0.981312\pi\) |
0.505825 | − | 0.862636i | \(-0.331188\pi\) | |||||||
\(398\) | −4.80610 | − | 3.64006i | −0.240908 | − | 0.182460i | ||||
\(399\) | −2.15533 | − | 24.3312i | −0.107901 | − | 1.21808i | ||||
\(400\) | −6.33896 | + | 2.33118i | −0.316948 | + | 0.116559i | ||||
\(401\) | 0.197343 | − | 0.0817420i | 0.00985482 | − | 0.00408200i | −0.377751 | − | 0.925907i | \(-0.623302\pi\) |
0.387605 | + | 0.921825i | \(0.373302\pi\) | |||||||
\(402\) | −0.108977 | − | 0.474959i | −0.00543526 | − | 0.0236888i | ||||
\(403\) | 42.0388 | + | 12.7523i | 2.09410 | + | 0.635239i | ||||
\(404\) | 11.2794 | + | 7.86988i | 0.561170 | + | 0.391541i | ||||
\(405\) | −15.8472 | + | 4.13492i | −0.787453 | + | 0.205466i | ||||
\(406\) | −1.03751 | − | 4.32642i | −0.0514907 | − | 0.214717i | ||||
\(407\) | 19.4646 | + | 13.0058i | 0.964823 | + | 0.644674i | ||||
\(408\) | 5.39356 | + | 2.17715i | 0.267021 | + | 0.107785i | ||||
\(409\) | 9.11498 | + | 13.6415i | 0.450707 | + | 0.674530i | 0.985349 | − | 0.170548i | \(-0.0545538\pi\) |
−0.534643 | + | 0.845078i | \(0.679554\pi\) | |||||||
\(410\) | −0.396289 | − | 10.1526i | −0.0195713 | − | 0.501400i | ||||
\(411\) | 17.4725 | − | 17.1325i | 0.861853 | − | 0.845086i | ||||
\(412\) | −8.24806 | − | 2.68463i | −0.406353 | − | 0.132262i | ||||
\(413\) | 0.685049 | − | 0.834735i | 0.0337091 | − | 0.0410746i | ||||
\(414\) | 3.84371 | + | 32.5497i | 0.188908 | + | 1.59973i | ||||
\(415\) | 20.4076 | − | 20.4076i | 1.00177 | − | 1.00177i | ||||
\(416\) | −5.89771 | + | 29.4524i | −0.289159 | + | 1.44402i | ||||
\(417\) | −26.0933 | − | 8.19605i | −1.27779 | − | 0.401362i | ||||
\(418\) | 40.0689 | + | 2.37329i | 1.95983 | + | 0.116082i | ||||
\(419\) | 21.6098 | − | 26.3317i | 1.05571 | − | 1.28639i | 0.0990805 | − | 0.995079i | \(-0.468410\pi\) |
0.956630 | − | 0.291307i | \(-0.0940901\pi\) | |||||||
\(420\) | −5.60951 | − | 8.96565i | −0.273716 | − | 0.437479i | ||||
\(421\) | −7.43906 | + | 2.25662i | −0.362558 | + | 0.109981i | −0.466307 | − | 0.884623i | \(-0.654416\pi\) |
0.103750 | + | 0.994603i | \(0.466916\pi\) | |||||||
\(422\) | −4.42106 | − | 4.08889i | −0.215214 | − | 0.199044i | ||||
\(423\) | −0.490899 | + | 24.9852i | −0.0238683 | + | 1.21482i | ||||
\(424\) | 10.0893 | + | 7.96633i | 0.489978 | + | 0.386879i | ||||
\(425\) | −1.66685 | − | 1.11376i | −0.0808543 | − | 0.0540251i | ||||
\(426\) | −16.8920 | − | 1.16713i | −0.818422 | − | 0.0565476i | ||||
\(427\) | −12.8772 | − | 1.26829i | −0.623169 | − | 0.0613768i | ||||
\(428\) | −0.967215 | − | 1.51265i | −0.0467521 | − | 0.0731165i | ||||
\(429\) | −30.5148 | + | 5.75879i | −1.47327 | + | 0.278037i | ||||
\(430\) | −11.6387 | − | 19.8692i | −0.561268 | − | 0.958178i | ||||
\(431\) | −0.919288 | + | 0.380782i | −0.0442806 | + | 0.0183416i | −0.404714 | − | 0.914443i | \(-0.632629\pi\) |
0.360433 | + | 0.932785i | \(0.382629\pi\) | |||||||
\(432\) | −1.44882 | + | 20.7341i | −0.0697065 | + | 0.997568i | ||||
\(433\) | −25.3896 | − | 10.5167i | −1.22015 | − | 0.505401i | −0.322690 | − | 0.946505i | \(-0.604587\pi\) |
−0.897456 | + | 0.441103i | \(0.854587\pi\) | |||||||
\(434\) | 2.68451 | + | 19.4452i | 0.128861 | + | 0.933398i | ||||
\(435\) | −3.33173 | + | 4.88179i | −0.159744 | + | 0.234064i | ||||
\(436\) | −4.55935 | + | 1.78180i | −0.218353 | + | 0.0853328i | ||||
\(437\) | 41.1967 | + | 50.1983i | 1.97070 | + | 2.40131i | ||||
\(438\) | −3.27054 | − | 9.74773i | −0.156272 | − | 0.465764i | ||||
\(439\) | 12.8008 | − | 2.54623i | 0.610947 | − | 0.121525i | 0.120087 | − | 0.992763i | \(-0.461683\pi\) |
0.490860 | + | 0.871239i | \(0.336683\pi\) | |||||||
\(440\) | 15.9277 | − | 6.95235i | 0.759325 | − | 0.331440i | ||||
\(441\) | 9.05110 | − | 8.70229i | 0.431005 | − | 0.414395i | ||||
\(442\) | −8.09752 | + | 3.73049i | −0.385160 | + | 0.177441i | ||||
\(443\) | −3.42378 | + | 6.40545i | −0.162669 | + | 0.304332i | −0.950029 | − | 0.312161i | \(-0.898947\pi\) |
0.787360 | + | 0.616493i | \(0.211447\pi\) | |||||||
\(444\) | −0.719694 | + | 24.0064i | −0.0341551 | + | 1.13929i | ||||
\(445\) | −0.0850578 | + | 0.00837746i | −0.00403213 | + | 0.000397130i | ||||
\(446\) | 19.7629 | − | 6.84750i | 0.935801 | − | 0.324239i | ||||
\(447\) | −16.8334 | + | 8.78618i | −0.796194 | + | 0.415572i | ||||
\(448\) | −13.0556 | + | 3.11313i | −0.616817 | + | 0.147082i | ||||
\(449\) | 23.6993 | 1.11844 | 0.559219 | − | 0.829020i | \(-0.311101\pi\) | ||||
0.559219 | + | 0.829020i | \(0.311101\pi\) | |||||||
\(450\) | 1.94636 | − | 6.89425i | 0.0917524 | − | 0.324998i | ||||
\(451\) | −1.30662 | − | 13.2663i | −0.0615262 | − | 0.624686i | ||||
\(452\) | −2.96975 | − | 10.5506i | −0.139685 | − | 0.496260i | ||||
\(453\) | −26.6690 | − | 0.261966i | −1.25302 | − | 0.0123082i | ||||
\(454\) | 12.1937 | − | 5.61757i | 0.572277 | − | 0.263646i | ||||
\(455\) | 15.8995 | + | 3.16261i | 0.745380 | + | 0.148265i | ||||
\(456\) | 19.7400 | + | 36.1409i | 0.924409 | + | 1.69245i | ||||
\(457\) | −3.41521 | − | 17.1694i | −0.159757 | − | 0.803151i | −0.974684 | − | 0.223588i | \(-0.928223\pi\) |
0.814927 | − | 0.579563i | \(-0.196777\pi\) | |||||||
\(458\) | −0.913543 | − | 0.144931i | −0.0426870 | − | 0.00677218i | ||||
\(459\) | −5.22828 | + | 3.27481i | −0.244035 | + | 0.152855i | ||||
\(460\) | 25.7541 | + | 11.2808i | 1.20079 | + | 0.525971i | ||||
\(461\) | 10.3365 | + | 19.3382i | 0.481418 | + | 0.900669i | 0.998986 | + | 0.0450270i | \(0.0143374\pi\) |
−0.517568 | + | 0.855642i | \(0.673163\pi\) | |||||||
\(462\) | −8.04241 | − | 11.3074i | −0.374167 | − | 0.526066i | ||||
\(463\) | −0.319301 | + | 0.770860i | −0.0148392 | + | 0.0358249i | −0.931125 | − | 0.364699i | \(-0.881172\pi\) |
0.916286 | + | 0.400524i | \(0.131172\pi\) | |||||||
\(464\) | 4.52095 | + | 5.98509i | 0.209880 | + | 0.277851i | ||||
\(465\) | 16.7402 | − | 19.9942i | 0.776307 | − | 0.927209i | ||||
\(466\) | −2.12875 | − | 3.63413i | −0.0986124 | − | 0.168348i | ||||
\(467\) | −9.03590 | − | 2.74101i | −0.418132 | − | 0.126839i | 0.0742064 | − | 0.997243i | \(-0.476358\pi\) |
−0.492338 | + | 0.870404i | \(0.663858\pi\) | |||||||
\(468\) | −21.6138 | − | 23.4062i | −0.999098 | − | 1.08195i | ||||
\(469\) | −0.0327143 | + | 0.332154i | −0.00151061 | + | 0.0153374i | ||||
\(470\) | 18.2755 | + | 11.2057i | 0.842986 | + | 0.516880i | ||||
\(471\) | 0.523411 | − | 4.82766i | 0.0241175 | − | 0.222447i | ||||
\(472\) | −0.495509 | + | 1.75178i | −0.0228076 | + | 0.0806323i | ||||
\(473\) | −16.7848 | − | 25.1203i | −0.771767 | − | 1.15503i | ||||
\(474\) | 3.46154 | − | 12.7384i | 0.158994 | − | 0.585094i | ||||
\(475\) | −4.12015 | − | 13.5823i | −0.189045 | − | 0.623199i | ||||
\(476\) | −3.02794 | − | 2.58880i | −0.138786 | − | 0.118657i | ||||
\(477\) | −13.1231 | + | 3.70095i | −0.600865 | + | 0.169455i | ||||
\(478\) | −10.2540 | − | 0.607345i | −0.469005 | − | 0.0277793i | ||||
\(479\) | −20.1808 | + | 20.1808i | −0.922085 | + | 0.922085i | −0.997177 | − | 0.0750920i | \(-0.976075\pi\) |
0.0750920 | + | 0.997177i | \(0.476075\pi\) | |||||||
\(480\) | 14.7141 | + | 10.0697i | 0.671602 | + | 0.459619i | ||||
\(481\) | −26.0315 | − | 26.0315i | −1.18694 | − | 1.18694i | ||||
\(482\) | −13.2498 | − | 14.9182i | −0.603512 | − | 0.679505i | ||||
\(483\) | 4.59559 | − | 21.9733i | 0.209107 | − | 0.999822i | ||||
\(484\) | 0.714323 | − | 0.363505i | 0.0324692 | − | 0.0165229i | ||||
\(485\) | −27.8248 | + | 8.44056i | −1.26346 | + | 0.383266i | ||||
\(486\) | −16.8992 | − | 14.1568i | −0.766564 | − | 0.642168i | ||||
\(487\) | −17.0440 | + | 11.3885i | −0.772340 | + | 0.516061i | −0.878185 | − | 0.478322i | \(-0.841245\pi\) |
0.105845 | + | 0.994383i | \(0.466245\pi\) | |||||||
\(488\) | 20.7521 | − | 6.72512i | 0.939403 | − | 0.304432i | ||||
\(489\) | −0.764208 | + | 7.04864i | −0.0345587 | + | 0.318751i | ||||
\(490\) | −2.51175 | − | 10.4740i | −0.113469 | − | 0.473169i | ||||
\(491\) | −42.5994 | − | 4.19567i | −1.92248 | − | 0.189348i | −0.935861 | − | 0.352370i | \(-0.885376\pi\) |
−0.986622 | + | 0.163022i | \(0.947876\pi\) | |||||||
\(492\) | 10.8272 | − | 8.35549i | 0.488128 | − | 0.376695i | ||||
\(493\) | −0.646270 | + | 2.13047i | −0.0291065 | + | 0.0959513i | ||||
\(494\) | −61.0732 | − | 15.9536i | −2.74781 | − | 0.717784i | ||||
\(495\) | −3.95058 | + | 18.0048i | −0.177565 | + | 0.809258i | ||||
\(496\) | −17.2623 | − | 28.2345i | −0.775102 | − | 1.26777i | ||||
\(497\) | 10.7145 | + | 4.43807i | 0.480609 | + | 0.199075i | ||||
\(498\) | 38.3068 | + | 6.46362i | 1.71657 | + | 0.289642i | ||||
\(499\) | −10.1139 | + | 5.40601i | −0.452762 | + | 0.242006i | −0.681983 | − | 0.731368i | \(-0.738882\pi\) |
0.229221 | + | 0.973374i | \(0.426382\pi\) | |||||||
\(500\) | −16.8627 | − | 17.5563i | −0.754123 | − | 0.785140i | ||||
\(501\) | −32.9709 | − | 14.0380i | −1.47303 | − | 0.627170i | ||||
\(502\) | −29.3562 | + | 21.3171i | −1.31023 | + | 0.951427i | ||||
\(503\) | −4.80853 | + | 0.956476i | −0.214402 | + | 0.0426472i | −0.301122 | − | 0.953586i | \(-0.597361\pi\) |
0.0867206 | + | 0.996233i | \(0.472361\pi\) | |||||||
\(504\) | 5.45804 | − | 13.1479i | 0.243120 | − | 0.585653i | ||||
\(505\) | −2.44136 | + | 12.2735i | −0.108639 | + | 0.546165i | ||||
\(506\) | 34.6059 | + | 12.7769i | 1.53842 | + | 0.568000i | ||||
\(507\) | 26.3166 | + | 0.258504i | 1.16876 | + | 0.0114806i | ||||
\(508\) | 3.48729 | − | 2.74626i | 0.154723 | − | 0.121846i | ||||
\(509\) | 37.3709 | − | 3.68071i | 1.65644 | − | 0.163145i | 0.773874 | − | 0.633340i | \(-0.218316\pi\) |
0.882562 | + | 0.470195i | \(0.155816\pi\) | |||||||
\(510\) | 0.154463 | + | 5.28994i | 0.00683972 | + | 0.234243i | ||||
\(511\) | 7.04216i | 0.311527i | ||||||||
\(512\) | 18.0728 | − | 13.6152i | 0.798711 | − | 0.601715i | ||||
\(513\) | −43.3232 | − | 5.56010i | −1.91276 | − | 0.245485i | ||||
\(514\) | −9.99269 | − | 4.84997i | −0.440758 | − | 0.213923i | ||||
\(515\) | −0.773574 | − | 7.85423i | −0.0340877 | − | 0.346099i | ||||
\(516\) | 12.7143 | − | 28.2680i | 0.559717 | − | 1.24443i | ||||
\(517\) | 24.8051 | + | 13.2586i | 1.09093 | + | 0.583113i | ||||
\(518\) | 5.69752 | − | 15.4316i | 0.250335 | − | 0.678026i | ||||
\(519\) | −31.3590 | + | 9.17726i | −1.37651 | + | 0.402837i | ||||
\(520\) | −26.6995 | + | 5.83654i | −1.17085 | + | 0.255949i | ||||
\(521\) | −3.64488 | − | 18.3240i | −0.159685 | − | 0.802790i | −0.974729 | − | 0.223391i | \(-0.928287\pi\) |
0.815044 | − | 0.579399i | \(-0.196713\pi\) | |||||||
\(522\) | −7.95419 | + | 0.154080i | −0.348145 | + | 0.00674388i | ||||
\(523\) | 24.5739 | − | 20.1673i | 1.07454 | − | 0.881855i | 0.0811598 | − | 0.996701i | \(-0.474138\pi\) |
0.993383 | + | 0.114846i | \(0.0366376\pi\) | |||||||
\(524\) | −12.7010 | + | 12.1993i | −0.554848 | + | 0.532928i | ||||
\(525\) | −2.76588 | + | 4.05269i | −0.120713 | + | 0.176874i | ||||
\(526\) | −16.5974 | − | 12.5706i | −0.723680 | − | 0.548103i | ||||
\(527\) | 3.75898 | − | 9.07499i | 0.163744 | − | 0.395313i | ||||
\(528\) | 20.0525 | + | 12.0471i | 0.872673 | + | 0.524283i | ||||
\(529\) | 14.0372 | + | 33.8887i | 0.610311 | + | 1.47342i | ||||
\(530\) | −2.95620 | + | 11.3169i | −0.128409 | + | 0.491574i | ||||
\(531\) | −1.19542 | − | 1.51642i | −0.0518769 | − | 0.0658069i | ||||
\(532\) | −4.94414 | − | 27.7685i | −0.214356 | − | 1.20392i | ||||
\(533\) | −2.05478 | + | 20.8625i | −0.0890023 | + | 0.903655i | ||||
\(534\) | −0.0755494 | − | 0.0867642i | −0.00326934 | − | 0.00375465i | ||||
\(535\) | 0.907594 | − | 1.35831i | 0.0392387 | − | 0.0587249i | ||||
\(536\) | −0.173468 | − | 0.535280i | −0.00749267 | − | 0.0231206i | ||||
\(537\) | 23.2853 | + | 12.7419i | 1.00484 | + | 0.549853i | ||||
\(538\) | 0.0107976 | + | 0.276624i | 0.000465516 | + | 0.0119261i | ||||
\(539\) | −4.10223 | − | 13.5232i | −0.176695 | − | 0.582487i | ||||
\(540\) | −17.8093 | + | 6.36166i | −0.766390 | + | 0.273762i | ||||
\(541\) | 2.63016 | + | 2.15852i | 0.113079 | + | 0.0928019i | 0.689234 | − | 0.724539i | \(-0.257947\pi\) |
−0.576154 | + | 0.817341i | \(0.695447\pi\) | |||||||
\(542\) | 7.35040 | − | 6.52835i | 0.315727 | − | 0.280417i | ||||
\(543\) | 18.8161 | + | 5.91023i | 0.807475 | + | 0.253632i | ||||
\(544\) | 6.42449 | + | 1.95785i | 0.275448 | + | 0.0839419i | ||||
\(545\) | −3.14944 | − | 3.14944i | −0.134907 | − | 0.134907i | ||||
\(546\) | 8.93535 | + | 19.9076i | 0.382398 | + | 0.851966i | ||||
\(547\) | −0.842902 | − | 0.691752i | −0.0360399 | − | 0.0295772i | 0.616201 | − | 0.787589i | \(-0.288671\pi\) |
−0.652241 | + | 0.758012i | \(0.726171\pi\) | |||||||
\(548\) | 18.3620 | − | 21.4768i | 0.784384 | − | 0.917443i | ||||
\(549\) | −7.15021 | + | 22.0053i | −0.305164 | + | 0.939165i | ||||
\(550\) | −5.91927 | − | 5.47453i | −0.252399 | − | 0.233435i | ||||
\(551\) | −13.1061 | + | 8.75722i | −0.558339 | + | 0.373070i | ||||
\(552\) | 7.71881 | + | 37.0508i | 0.328535 | + | 1.57699i | ||||
\(553\) | −5.02300 | + | 7.51745i | −0.213600 | + | 0.319674i | ||||
\(554\) | 13.7326 | − | 22.3967i | 0.583444 | − | 0.951546i | ||||
\(555\) | −20.2704 | + | 8.16394i | −0.860430 | + | 0.346540i | ||||
\(556\) | −30.8441 | − | 6.78398i | −1.30808 | − | 0.287705i | ||||
\(557\) | 0.460226 | − | 1.51716i | 0.0195004 | − | 0.0642843i | −0.946650 | − | 0.322263i | \(-0.895556\pi\) |
0.966151 | + | 0.257979i | \(0.0830565\pi\) | |||||||
\(558\) | 34.9920 | + | 2.76331i | 1.48133 | + | 0.116980i | ||||
\(559\) | 18.1817 | + | 43.8945i | 0.769003 | + | 1.85654i | ||||
\(560\) | −7.36063 | − | 9.74442i | −0.311043 | − | 0.411777i | ||||
\(561\) | 0.612672 | + | 6.91637i | 0.0258670 | + | 0.292009i | ||||
\(562\) | −4.24093 | − | 30.7190i | −0.178893 | − | 1.29580i | ||||
\(563\) | 23.6334 | − | 12.6323i | 0.996030 | − | 0.532389i | 0.108971 | − | 0.994045i | \(-0.465244\pi\) |
0.887059 | + | 0.461656i | \(0.152744\pi\) | |||||||
\(564\) | 1.96658 | + | 28.7889i | 0.0828080 | + | 1.21223i | ||||
\(565\) | 7.70908 | − | 6.32667i | 0.324323 | − | 0.266165i | ||||
\(566\) | −5.90153 | + | 37.1991i | −0.248060 | + | 1.56359i | ||||
\(567\) | 7.88910 | + | 12.8744i | 0.331311 | + | 0.540675i | ||||
\(568\) | −19.5483 | + | 0.368838i | −0.820227 | + | 0.0154761i | ||||
\(569\) | 4.79664 | − | 24.1143i | 0.201085 | − | 1.01092i | −0.739962 | − | 0.672649i | \(-0.765156\pi\) |
0.941047 | − | 0.338276i | \(-0.109844\pi\) | |||||||
\(570\) | −22.9147 | + | 29.6455i | −0.959789 | + | 1.24171i | ||||
\(571\) | −10.4448 | − | 5.58284i | −0.437099 | − | 0.233635i | 0.238143 | − | 0.971230i | \(-0.423461\pi\) |
−0.675243 | + | 0.737595i | \(0.735961\pi\) | |||||||
\(572\) | −34.5162 | + | 9.71548i | −1.44320 | + | 0.406224i | ||||
\(573\) | −9.71150 | + | 6.35193i | −0.405704 | + | 0.265356i | ||||
\(574\) | −8.85096 | + | 3.06670i | −0.369432 | + | 0.128002i | ||||
\(575\) | − | 13.0443i | − | 0.543984i | ||||||
\(576\) | 0.434054 | + | 23.9961i | 0.0180856 | + | 0.999836i | ||||
\(577\) | 44.1257i | 1.83698i | 0.395447 | + | 0.918489i | \(0.370590\pi\) | ||||
−0.395447 | + | 0.918489i | \(0.629410\pi\) | |||||||
\(578\) | −7.21830 | − | 20.8331i | −0.300242 | − | 0.866542i | ||||
\(579\) | 6.61249 | − | 4.32498i | 0.274806 | − | 0.179740i | ||||
\(580\) | −3.33774 | + | 5.95281i | −0.138592 | + | 0.247177i | ||||
\(581\) | −23.4661 | − | 12.5429i | −0.973536 | − | 0.520366i | ||||
\(582\) | −30.9668 | − | 23.9360i | −1.28361 | − | 0.992178i | ||||
\(583\) | −2.99389 | + | 15.0513i | −0.123994 | + | 0.623361i | ||||
\(584\) | −4.74946 | − | 10.8810i | −0.196534 | − | 0.450257i | ||||
\(585\) | 11.6171 | − | 26.5582i | 0.480309 | − | 1.09805i | ||||
\(586\) | 35.8771 | + | 5.69180i | 1.48207 | + | 0.235126i | ||||
\(587\) | 0.0900184 | − | 0.0738762i | 0.00371546 | − | 0.00304920i | −0.632534 | − | 0.774533i | \(-0.717985\pi\) |
0.636249 | + | 0.771484i | \(0.280485\pi\) | |||||||
\(588\) | 9.52938 | − | 10.9268i | 0.392985 | − | 0.450612i | ||||
\(589\) | 61.3335 | − | 32.7834i | 2.52720 | − | 1.35082i | ||||
\(590\) | −1.64088 | + | 0.226532i | −0.0675539 | + | 0.00932618i | ||||
\(591\) | 0.771399 | + | 8.70822i | 0.0317311 | + | 0.358208i | ||||
\(592\) | 1.60425 | + | 27.6862i | 0.0659344 | + | 1.13790i | ||||
\(593\) | 7.84183 | + | 18.9319i | 0.322025 | + | 0.777438i | 0.999136 | + | 0.0415569i | \(0.0132318\pi\) |
−0.677111 | + | 0.735881i | \(0.736768\pi\) | |||||||
\(594\) | −22.8317 | + | 9.71357i | −0.936796 | + | 0.398553i | ||||
\(595\) | 1.05220 | − | 3.46864i | 0.0431360 | − | 0.142200i | ||||
\(596\) | −18.4725 | + | 11.8117i | −0.756663 | + | 0.483825i | ||||
\(597\) | 6.84932 | − | 2.75858i | 0.280324 | − | 0.112901i | ||||
\(598\) | −49.4553 | − | 30.3237i | −2.02238 | − | 1.24003i | ||||
\(599\) | 16.8125 | − | 25.1616i | 0.686938 | − | 1.02808i | −0.310065 | − | 0.950715i | \(-0.600351\pi\) |
0.997003 | − | 0.0773604i | \(-0.0246492\pi\) | |||||||
\(600\) | 1.54035 | − | 8.12728i | 0.0628843 | − | 0.331795i | ||||
\(601\) | −0.884014 | + | 0.590679i | −0.0360597 | + | 0.0240943i | −0.573469 | − | 0.819227i | \(-0.694403\pi\) |
0.537410 | + | 0.843321i | \(0.319403\pi\) | |||||||
\(602\) | −14.4146 | + | 15.5856i | −0.587496 | + | 0.635223i | ||||
\(603\) | 0.567606 | + | 0.184433i | 0.0231147 | + | 0.00751069i | ||||
\(604\) | −30.7025 | + | 2.40050i | −1.24927 | + | 0.0976749i | ||||
\(605\) | 0.563726 | + | 0.462638i | 0.0229187 | + | 0.0188089i | ||||
\(606\) | −15.3676 | + | 6.89760i | −0.624265 | + | 0.280196i | ||||
\(607\) | 0.159412 | + | 0.159412i | 0.00647034 | + | 0.00647034i | 0.710335 | − | 0.703864i | \(-0.248544\pi\) |
−0.703864 | + | 0.710335i | \(0.748544\pi\) | |||||||
\(608\) | 26.3673 | + | 39.5711i | 1.06933 | + | 1.60482i | ||||
\(609\) | 5.19857 | + | 1.63290i | 0.210657 | + | 0.0661684i | ||||
\(610\) | 13.1806 | + | 14.8403i | 0.533669 | + | 0.600868i | ||||
\(611\) | −34.1911 | − | 28.0599i | −1.38323 | − | 1.13518i | ||||
\(612\) | −5.68204 | + | 4.29652i | −0.229683 | + | 0.173677i | ||||
\(613\) | −13.2615 | − | 43.7172i | −0.535625 | − | 1.76572i | −0.636992 | − | 0.770871i | \(-0.719821\pi\) |
0.101366 | − | 0.994849i | \(-0.467679\pi\) | |||||||
\(614\) | 42.6655 | − | 1.66538i | 1.72184 | − | 0.0672092i | ||||
\(615\) | 10.9163 | + | 5.97347i | 0.440187 | + | 0.240873i | ||||
\(616\) | −10.3963 | − | 12.1915i | −0.418879 | − | 0.491209i | ||||
\(617\) | 4.96926 | − | 7.43702i | 0.200055 | − | 0.299403i | −0.717855 | − | 0.696193i | \(-0.754876\pi\) |
0.917910 | + | 0.396790i | \(0.129876\pi\) | |||||||
\(618\) | 8.01180 | − | 6.97622i | 0.322282 | − | 0.280625i | ||||
\(619\) | −0.657175 | + | 6.67241i | −0.0264141 | + | 0.268187i | 0.972902 | + | 0.231217i | \(0.0742706\pi\) |
−0.999316 | + | 0.0369701i | \(0.988229\pi\) | |||||||
\(620\) | 17.2297 | − | 24.6942i | 0.691963 | − | 0.991744i | ||||
\(621\) | −36.6177 | − | 16.4477i | −1.46942 | − | 0.660024i | ||||
\(622\) | −10.3676 | − | 2.70822i | −0.415702 | − | 0.108590i | ||||
\(623\) | 0.0301545 | + | 0.0727995i | 0.00120812 | + | 0.00291665i | ||||
\(624\) | −27.2325 | − | 24.7333i | −1.09017 | − | 0.990123i | ||||
\(625\) | 5.24522 | − | 12.6631i | 0.209809 | − | 0.506523i | ||||
\(626\) | 19.0595 | − | 25.1649i | 0.761770 | − | 1.00579i | ||||
\(627\) | −27.7121 | + | 40.6049i | −1.10671 | + | 1.62160i | ||||
\(628\) | 0.112964 | − | 5.60603i | 0.00450775 | − | 0.223705i | ||||
\(629\) | −6.36305 | + | 5.22202i | −0.253712 | + | 0.208216i | ||||
\(630\) | 12.9503 | − | 0.250859i | 0.515954 | − | 0.00999447i | ||||
\(631\) | 2.13224 | + | 10.7195i | 0.0848833 | + | 0.426737i | 0.999737 | + | 0.0229508i | \(0.00730610\pi\) |
−0.914853 | + | 0.403786i | \(0.867694\pi\) | |||||||
\(632\) | 2.69110 | − | 15.0030i | 0.107046 | − | 0.596787i | ||||
\(633\) | 7.07855 | − | 2.07155i | 0.281347 | − | 0.0823367i | ||||
\(634\) | 4.97592 | + | 1.83716i | 0.197619 | + | 0.0729630i | ||||
\(635\) | 3.56188 | + | 1.90386i | 0.141349 | + | 0.0755526i | ||||
\(636\) | −14.7199 | + | 5.58651i | −0.583681 | + | 0.221519i | ||||
\(637\) | 2.17828 | + | 22.1165i | 0.0863067 | + | 0.876286i | ||||
\(638\) | −3.90973 | + | 8.05545i | −0.154788 | + | 0.318918i | ||||
\(639\) | 11.8578 | − | 17.0132i | 0.469086 | − | 0.673031i | ||||
\(640\) | 17.9450 | + | 10.0920i | 0.709338 | + | 0.398922i | ||||
\(641\) | 31.7287i | 1.25321i | 0.779337 | + | 0.626605i | \(0.215556\pi\) | ||||
−0.779337 | + | 0.626605i | \(0.784444\pi\) | |||||||
\(642\) | 2.19802 | − | 0.0641806i | 0.0867489 | − | 0.00253300i | ||||
\(643\) | −1.54344 | + | 0.152015i | −0.0608673 | + | 0.00599490i | −0.128405 | − | 0.991722i | \(-0.540986\pi\) |
0.0675377 | + | 0.997717i | \(0.478486\pi\) | |||||||
\(644\) | 3.05996 | − | 25.7404i | 0.120579 | − | 1.01431i | ||||
\(645\) | 28.2009 | + | 0.277013i | 1.11041 | + | 0.0109074i | ||||
\(646\) | −4.88848 | + | 13.2404i | −0.192335 | + | 0.520935i | ||||
\(647\) | 7.08322 | − | 35.6097i | 0.278470 | − | 1.39996i | −0.547762 | − | 0.836634i | \(-0.684520\pi\) |
0.826232 | − | 0.563329i | \(-0.190480\pi\) | |||||||
\(648\) | −20.8725 | − | 14.5718i | −0.819950 | − | 0.572435i | ||||
\(649\) | −2.13152 | + | 0.423986i | −0.0836695 | + | 0.0166429i | ||||
\(650\) | 7.45017 | + | 10.2598i | 0.292220 | + | 0.402423i | ||||
\(651\) | −22.1198 | − | 9.41791i | −0.866943 | − | 0.369117i | ||||
\(652\) | −0.164933 | + | 8.18510i | −0.00645929 | + | 0.320553i | ||||
\(653\) | −17.8600 | + | 9.54639i | −0.698917 | + | 0.373579i | −0.782269 | − | 0.622941i | \(-0.785938\pi\) |
0.0833515 | + | 0.996520i | \(0.473438\pi\) | |||||||
\(654\) | 0.997507 | − | 5.91175i | 0.0390056 | − | 0.231168i | ||||
\(655\) | −14.8039 | − | 6.13197i | −0.578435 | − | 0.239596i | ||||
\(656\) | 11.6075 | − | 10.7078i | 0.453196 | − | 0.418069i | ||||
\(657\) | 12.2999 | + | 2.69882i | 0.479866 | + | 0.105291i | ||||
\(658\) | 4.99514 | − | 19.1223i | 0.194731 | − | 0.745466i | ||||
\(659\) | −1.24127 | + | 4.09190i | −0.0483528 | + | 0.159398i | −0.977792 | − | 0.209577i | \(-0.932791\pi\) |
0.929439 | + | 0.368975i | \(0.120291\pi\) | |||||||
\(660\) | −2.72008 | + | 21.1103i | −0.105879 | + | 0.821716i | ||||
\(661\) | 5.44864 | + | 0.536644i | 0.211927 | + | 0.0208730i | 0.203424 | − | 0.979091i | \(-0.434793\pi\) |
0.00850380 | + | 0.999964i | \(0.497293\pi\) | |||||||
\(662\) | 1.32587 | − | 0.317954i | 0.0515315 | − | 0.0123576i | ||||
\(663\) | 1.17696 | − | 10.8556i | 0.0457092 | − | 0.421597i | ||||
\(664\) | 44.7171 | + | 3.55392i | 1.73536 | + | 0.137919i | ||||
\(665\) | 21.3382 | − | 14.2578i | 0.827461 | − | 0.552892i | ||||
\(666\) | −24.7695 | − | 15.8653i | −0.959800 | − | 0.614769i | ||||
\(667\) | −13.8626 | + | 4.20516i | −0.536761 | + | 0.162825i | ||||
\(668\) | −39.3468 | − | 12.8069i | −1.52238 | − | 0.495513i | ||||
\(669\) | −5.24402 | + | 25.0737i | −0.202745 | + | 0.969406i | ||||
\(670\) | 0.382792 | − | 0.339982i | 0.0147886 | − | 0.0131347i | ||||
\(671\) | 18.4142 | + | 18.4142i | 0.710874 | + | 0.710874i | ||||
\(672\) | 4.94609 | − | 15.6763i | 0.190799 | − | 0.604725i | ||||
\(673\) | 28.5651 | − | 28.5651i | 1.10111 | − | 1.10111i | 0.106828 | − | 0.994278i | \(-0.465931\pi\) |
0.994278 | − | 0.106828i | \(-0.0340694\pi\) | |||||||
\(674\) | 1.01801 | − | 17.1872i | 0.0392121 | − | 0.662027i | ||||
\(675\) | 6.01848 | + | 6.38406i | 0.231652 | + | 0.245723i | ||||
\(676\) | 30.2968 | − | 2.36878i | 1.16526 | − | 0.0911069i | ||||
\(677\) | 2.68486 | + | 8.85080i | 0.103188 | + | 0.340164i | 0.993298 | − | 0.115581i | \(-0.0368730\pi\) |
−0.890110 | + | 0.455745i | \(0.849373\pi\) | |||||||
\(678\) | 12.9542 | + | 3.52018i | 0.497503 | + | 0.135192i | ||||
\(679\) | 14.8932 | + | 22.2893i | 0.571549 | + | 0.855384i | ||||
\(680\) | 0.713592 | + | 6.06909i | 0.0273650 | + | 0.232739i | ||||
\(681\) | −1.77232 | + | 16.3470i | −0.0679156 | + | 0.626417i | ||||
\(682\) | 20.6505 | − | 33.6792i | 0.790749 | − | 1.28964i | ||||
\(683\) | 3.92292 | − | 39.8300i | 0.150106 | − | 1.52405i | −0.565031 | − | 0.825070i | \(-0.691136\pi\) |
0.715137 | − | 0.698984i | \(-0.246364\pi\) | |||||||
\(684\) | −50.3957 | − | 2.00644i | −1.92693 | − | 0.0767183i | ||||
\(685\) | 24.6026 | + | 7.46312i | 0.940017 | + | 0.285151i | ||||
\(686\) | −22.8992 | + | 13.4136i | −0.874295 | + | 0.512132i | ||||
\(687\) | 0.727239 | − | 0.868603i | 0.0277459 | − | 0.0331393i | ||||
\(688\) | 11.7608 | − | 33.8033i | 0.448377 | − | 1.28874i | ||||
\(689\) | 9.23541 | − | 22.2962i | 0.351841 | − | 0.849419i | ||||
\(690\) | −28.0614 | + | 19.9588i | −1.06828 | + | 0.759819i | ||||
\(691\) | 14.8132 | + | 27.7135i | 0.563519 | + | 1.05427i | 0.988805 | + | 0.149211i | \(0.0476733\pi\) |
−0.425287 | + | 0.905059i | \(0.639827\pi\) | |||||||
\(692\) | −35.1408 | + | 13.7331i | −1.33585 | + | 0.522053i | ||||
\(693\) | 16.9419 | − | 1.33318i | 0.643569 | − | 0.0506434i | ||||
\(694\) | −2.82903 | + | 17.8322i | −0.107389 | + | 0.676902i | ||||
\(695\) | −5.60594 | − | 28.1829i | −0.212645 | − | 1.06904i | ||||
\(696\) | −9.13368 | + | 0.983065i | −0.346211 | + | 0.0372630i | ||||
\(697\) | 4.59729 | + | 0.914458i | 0.174135 | + | 0.0346376i | ||||
\(698\) | −0.935191 | − | 2.02996i | −0.0353975 | − | 0.0768350i | ||||
\(699\) | 5.15802 | + | 0.0506665i | 0.195094 | + | 0.00191638i | ||||
\(700\) | −2.77087 | + | 4.94181i | −0.104729 | + | 0.186783i | ||||
\(701\) | −3.44692 | − | 34.9971i | −0.130188 | − | 1.32182i | −0.809129 | − | 0.587631i | \(-0.800061\pi\) |
0.678941 | − | 0.734193i | \(-0.262439\pi\) | |||||||
\(702\) | 38.1952 | − | 7.97726i | 1.44158 | − | 0.301082i | ||||
\(703\) | −58.2797 | −2.19806 | ||||||||
\(704\) | 24.2858 | + | 11.8257i | 0.915307 | + | 0.445696i | ||||
\(705\) | −23.2756 | + | 12.1486i | −0.876609 | + | 0.457544i | ||||
\(706\) | −3.65061 | − | 10.5362i | −0.137393 | − | 0.396536i | ||||
\(707\) | 11.4816 | − | 1.13084i | 0.431810 | − | 0.0425295i | ||||
\(708\) | −1.52866 | − | 1.62315i | −0.0574505 | − | 0.0610016i | ||||
\(709\) | −5.24727 | + | 9.81695i | −0.197065 | + | 0.368683i | −0.960973 | − | 0.276642i | \(-0.910778\pi\) |
0.763908 | + | 0.645326i | \(0.223278\pi\) | |||||||
\(710\) | −7.44367 | − | 16.1575i | −0.279356 | − | 0.606379i | ||||
\(711\) | 11.2051 | + | 11.6542i | 0.420223 | + | 0.437066i | ||||
\(712\) | −0.0956906 | − | 0.0921465i | −0.00358616 | − | 0.00345333i | ||||
\(713\) | 62.6865 | − | 12.4691i | 2.34763 | − | 0.466972i | ||||
\(714\) | 4.62567 | − | 1.55199i | 0.173111 | − | 0.0580819i | ||||
\(715\) | −20.6976 | − | 25.2201i | −0.774047 | − | 0.943179i | ||||
\(716\) | 28.0748 | + | 12.2973i | 1.04920 | + | 0.459572i | ||||
\(717\) | 7.09175 | − | 10.3911i | 0.264846 | − | 0.388064i | ||||
\(718\) | −28.3192 | + | 3.90962i | −1.05686 | + | 0.145906i | ||||
\(719\) | 3.88081 | + | 1.60748i | 0.144730 | + | 0.0599491i | 0.453873 | − | 0.891067i | \(-0.350042\pi\) |
−0.309143 | + | 0.951016i | \(0.600042\pi\) | |||||||
\(720\) | −19.8406 | + | 9.12174i | −0.739415 | + | 0.339947i | ||||
\(721\) | −6.72229 | + | 2.78447i | −0.250351 | + | 0.103699i | ||||
\(722\) | −63.0390 | + | 36.9261i | −2.34607 | + | 1.37425i | ||||
\(723\) | 24.0131 | − | 4.53176i | 0.893056 | − | 0.168538i | ||||
\(724\) | 22.2419 | + | 4.89198i | 0.826614 | + | 0.181809i | ||||
\(725\) | 3.15099 | + | 0.310346i | 0.117025 | + | 0.0115260i | ||||
\(726\) | −0.0676626 | + | 0.979292i | −0.00251120 | + | 0.0363449i | ||||
\(727\) | −35.0209 | − | 23.4002i | −1.29885 | − | 0.867867i | −0.302498 | − | 0.953150i | \(-0.597820\pi\) |
−0.996357 | + | 0.0852834i | \(0.972820\pi\) | |||||||
\(728\) | 12.2947 | + | 21.9934i | 0.455672 | + | 0.815130i | ||||
\(729\) | 25.5100 | − | 8.84524i | 0.944816 | − | 0.327601i | ||||
\(730\) | 7.33468 | − | 7.93054i | 0.271469 | − | 0.293522i | ||||
\(731\) | 10.1659 | − | 3.08378i | 0.375998 | − | 0.114058i | ||||
\(732\) | −5.99517 | + | 26.0360i | −0.221588 | + | 0.962317i | ||||
\(733\) | −7.94836 | + | 9.68511i | −0.293580 | + | 0.357728i | −0.898822 | − | 0.438313i | \(-0.855576\pi\) |
0.605243 | + | 0.796041i | \(0.293076\pi\) | |||||||
\(734\) | −1.30446 | + | 22.0234i | −0.0481483 | + | 0.812899i | ||||
\(735\) | 12.5855 | + | 3.95317i | 0.464222 | + | 0.145815i | ||||
\(736\) | 12.6321 | + | 41.8356i | 0.465627 | + | 1.54208i | ||||
\(737\) | 0.474977 | − | 0.474977i | 0.0174960 | − | 0.0174960i | ||||
\(738\) | 1.96432 | + | 16.6345i | 0.0723077 | + | 0.612323i | ||||
\(739\) | −5.13129 | + | 6.25250i | −0.188758 | + | 0.230002i | −0.858787 | − | 0.512333i | \(-0.828781\pi\) |
0.670029 | + | 0.742335i | \(0.266281\pi\) | |||||||
\(740\) | −22.4889 | + | 11.4441i | −0.826708 | + | 0.420695i | ||||
\(741\) | 55.2000 | − | 54.1261i | 2.02782 | − | 1.98837i | ||||
\(742\) | 10.7754 | − | 0.420598i | 0.395576 | − | 0.0154407i | ||||
\(743\) | 24.8102 | + | 37.1311i | 0.910199 | + | 1.36221i | 0.932004 | + | 0.362447i | \(0.118059\pi\) |
−0.0218054 | + | 0.999762i | \(0.506941\pi\) | |||||||
\(744\) | 40.5294 | − | 0.366529i | 1.48588 | − | 0.0134376i | ||||
\(745\) | −16.5877 | − | 11.0836i | −0.607728 | − | 0.406071i | ||||
\(746\) | −9.03280 | + | 2.16613i | −0.330714 | + | 0.0793078i | ||||
\(747\) | −30.9006 | + | 36.1792i | −1.13059 | + | 1.32373i | ||||
\(748\) | 1.40542 | + | 7.89347i | 0.0513872 | + | 0.288614i | ||||
\(749\) | −1.44125 | − | 0.437199i | −0.0526622 | − | 0.0159749i | ||||
\(750\) | 29.0587 | − | 6.66735i | 1.06107 | − | 0.243457i | ||||
\(751\) | 35.8287 | − | 14.8407i | 1.30741 | − | 0.541546i | 0.383280 | − | 0.923632i | \(-0.374794\pi\) |
0.924127 | + | 0.382087i | \(0.124794\pi\) | |||||||
\(752\) | 5.17864 | + | 32.9151i | 0.188846 | + | 1.20029i | ||||
\(753\) | −3.92067 | − | 44.2599i | −0.142877 | − | 1.61292i | ||||
\(754\) | 8.50166 | − | 11.2250i | 0.309612 | − | 0.408792i | ||||
\(755\) | −13.2089 | − | 24.7121i | −0.480720 | − | 0.899364i | ||||
\(756\) | 10.3787 | + | 14.0095i | 0.377471 | + | 0.509522i | ||||
\(757\) | 13.0397 | + | 15.8889i | 0.473935 | + | 0.577491i | 0.954025 | − | 0.299728i | \(-0.0968960\pi\) |
−0.480090 | + | 0.877219i | \(0.659396\pi\) | |||||||
\(758\) | −18.2981 | − | 25.1987i | −0.664616 | − | 0.915259i | ||||
\(759\) | −35.2043 | + | 28.3174i | −1.27784 | + | 1.02786i | ||||
\(760\) | −23.3542 | + | 36.4211i | −0.847145 | + | 1.32113i | ||||
\(761\) | −47.3674 | − | 9.42196i | −1.71707 | − | 0.341546i | −0.764210 | − | 0.644967i | \(-0.776871\pi\) |
−0.952856 | + | 0.303422i | \(0.901871\pi\) | |||||||
\(762\) | 0.690544 | + | 5.39239i | 0.0250158 | + | 0.195346i | ||||
\(763\) | −1.93570 | + | 3.62143i | −0.0700769 | + | 0.131105i | ||||
\(764\) | −10.5271 | + | 8.29016i | −0.380858 | + | 0.299927i | ||||
\(765\) | −5.65513 | − | 3.16710i | −0.204462 | − | 0.114507i | ||||
\(766\) | 23.4370 | − | 48.2887i | 0.846812 | − | 1.74474i | ||||
\(767\) | 3.41769 | 0.123405 | ||||||||
\(768\) | 2.93030 | + | 27.5575i | 0.105738 | + | 0.994394i | ||||
\(769\) | 44.8088 | 1.61585 | 0.807924 | − | 0.589287i | \(-0.200591\pi\) | ||||
0.807924 | + | 0.589287i | \(0.200591\pi\) | |||||||
\(770\) | 6.36548 | − | 13.1152i | 0.229396 | − | 0.472639i | ||||
\(771\) | 11.3849 | − | 7.44641i | 0.410015 | − | 0.268176i | ||||
\(772\) | 7.16784 | − | 5.64471i | 0.257976 | − | 0.203158i | ||||
\(773\) | −15.1111 | + | 28.2709i | −0.543509 | + | 1.01683i | 0.448868 | + | 0.893598i | \(0.351827\pi\) |
−0.992377 | + | 0.123237i | \(0.960673\pi\) | |||||||
\(774\) | 21.6978 | + | 31.1497i | 0.779912 | + | 1.11965i | ||||
\(775\) | −13.7012 | − | 2.72534i | −0.492162 | − | 0.0978971i | ||||
\(776\) | −38.0444 | − | 24.3951i | −1.36571 | − | 0.875732i | ||||
\(777\) | 12.6274 | + | 15.6985i | 0.453006 | + | 0.563180i | ||||
\(778\) | 7.33075 | + | 10.0954i | 0.262820 | + | 0.361936i | ||||
\(779\) | 21.0535 | + | 25.6537i | 0.754319 | + | 0.919141i | ||||
\(780\) | 10.6720 | − | 31.7255i | 0.382118 | − | 1.13595i | ||||
\(781\) | −11.0026 | − | 20.5843i | −0.393703 | − | 0.736566i | ||||
\(782\) | −7.83151 | + | 10.3402i | −0.280054 | + | 0.369765i | ||||
\(783\) | 4.84433 | − | 8.45410i | 0.173122 | − | 0.302125i | ||||
\(784\) | 9.85417 | − | 13.5339i | 0.351935 | − | 0.483353i | ||||
\(785\) | 4.71347 | − | 1.95239i | 0.168231 | − | 0.0696836i | ||||
\(786\) | −4.82348 | − | 21.0224i | −0.172048 | − | 0.749845i | ||||
\(787\) | 3.21785 | + | 0.976124i | 0.114704 | + | 0.0347951i | 0.347115 | − | 0.937823i | \(-0.387161\pi\) |
−0.232411 | + | 0.972618i | \(0.574661\pi\) | |||||||
\(788\) | 1.76953 | + | 9.93846i | 0.0630367 | + | 0.354043i | ||||
\(789\) | 23.6534 | − | 9.52646i | 0.842084 | − | 0.339151i | ||||
\(790\) | 13.4864 | − | 3.23413i | 0.479823 | − | 0.115065i | ||||
\(791\) | −7.64479 | − | 5.10809i | −0.271817 | − | 0.181623i | ||||
\(792\) | −25.2780 | + | 13.4861i | −0.898216 | + | 0.479207i | ||||
\(793\) | −22.7522 | − | 34.0511i | −0.807956 | − | 1.20919i | ||||
\(794\) | 29.4142 | − | 1.14814i | 1.04387 | − | 0.0407458i | ||||
\(795\) | −10.0296 | − | 10.2286i | −0.355712 | − | 0.362770i | ||||
\(796\) | 7.59895 | − | 3.86695i | 0.269338 | − | 0.137060i | ||||
\(797\) | 18.3586 | − | 22.3700i | 0.650294 | − | 0.792386i | −0.338612 | − | 0.940926i | \(-0.609957\pi\) |
0.988906 | + | 0.148540i | \(0.0474574\pi\) | |||||||
\(798\) | 32.2870 | + | 12.2824i | 1.14295 | + | 0.434792i | ||||
\(799\) | −6.99324 | + | 6.99324i | −0.247403 | + | 0.247403i | ||||
\(800\) | 0.948408 | − | 9.50443i | 0.0335313 | − | 0.336032i | ||||
\(801\) | 0.138709 | − | 0.0247688i | 0.00490103 | − | 0.000875162i | ||||
\(802\) | −0.0178609 | + | 0.301550i | −0.000630692 | + | 0.0106481i | ||||
\(803\) | 8.99119 | − | 10.9558i | 0.317292 | − | 0.386622i | ||||
\(804\) | 0.671573 | + | 0.154640i | 0.0236845 | + | 0.00545371i | ||||
\(805\) | 22.5699 | − | 6.84649i | 0.795483 | − | 0.241307i | ||||
\(806\) | −42.1835 | + | 45.6104i | −1.48585 | + | 1.60656i | ||||
\(807\) | −0.297433 | − | 0.162757i | −0.0104701 | − | 0.00572933i | ||||
\(808\) | −16.9777 | + | 9.49083i | −0.597274 | + | 0.333886i | ||||
\(809\) | 20.1440 | + | 13.4598i | 0.708227 | + | 0.473222i | 0.856780 | − | 0.515682i | \(-0.172462\pi\) |
−0.148553 | + | 0.988904i | \(0.547462\pi\) | |||||||
\(810\) | 4.52490 | − | 22.7154i | 0.158989 | − | 0.798136i | ||||
\(811\) | −16.5091 | − | 1.62600i | −0.579713 | − | 0.0570967i | −0.196089 | − | 0.980586i | \(-0.562824\pi\) |
−0.383624 | + | 0.923489i | \(0.625324\pi\) | |||||||
\(812\) | 6.14507 | + | 1.35157i | 0.215650 | + | 0.0474310i | ||||
\(813\) | 2.23286 | + | 11.8316i | 0.0783099 | + | 0.414951i | ||||
\(814\) | −28.5664 | + | 16.7332i | −1.00125 | + | 0.586499i | ||||
\(815\) | −6.88192 | + | 2.85058i | −0.241063 | + | 0.0998516i | ||||
\(816\) | −6.10048 | + | 5.51771i | −0.213559 | + | 0.193158i | ||||
\(817\) | 69.4884 | + | 28.7830i | 2.43109 | + | 1.00699i | ||||
\(818\) | −22.9843 | + | 3.17311i | −0.803629 | + | 0.110945i | ||||
\(819\) | −26.5398 | − | 3.14146i | −0.927375 | − | 0.109772i | ||||
\(820\) | 13.1616 | + | 5.76504i | 0.459623 | + | 0.201324i | ||||
\(821\) | −16.7729 | − | 20.4378i | −0.585377 | − | 0.713284i | 0.393133 | − | 0.919481i | \(-0.371391\pi\) |
−0.978510 | + | 0.206197i | \(0.933891\pi\) | |||||||
\(822\) | 11.0081 | + | 32.8092i | 0.383951 | + | 1.14435i | ||||
\(823\) | −17.3318 | + | 3.44752i | −0.604150 | + | 0.120173i | −0.487682 | − | 0.873021i | \(-0.662157\pi\) |
−0.116468 | + | 0.993194i | \(0.537157\pi\) | |||||||
\(824\) | 8.50879 | − | 8.83606i | 0.296418 | − | 0.307819i | ||||
\(825\) | 9.47733 | − | 2.77356i | 0.329958 | − | 0.0965629i | ||||
\(826\) | 0.638996 | + | 1.38702i | 0.0222335 | + | 0.0482607i | ||||
\(827\) | 17.8954 | − | 33.4800i | 0.622285 | − | 1.16421i | −0.351380 | − | 0.936233i | \(-0.614288\pi\) |
0.973666 | − | 0.227981i | \(-0.0732124\pi\) | |||||||
\(828\) | −43.7857 | − | 15.2092i | −1.52166 | − | 0.528557i | ||||
\(829\) | −44.5843 | + | 4.39117i | −1.54848 | + | 0.152512i | −0.835821 | − | 0.549002i | \(-0.815008\pi\) |
−0.712656 | + | 0.701514i | \(0.752508\pi\) | |||||||
\(830\) | 13.3624 | + | 38.5660i | 0.463817 | + | 1.33864i | ||||
\(831\) | 14.8882 | + | 28.5244i | 0.516467 | + | 0.989499i | ||||
\(832\) | −33.8298 | − | 25.6905i | −1.17284 | − | 0.890656i | ||||
\(833\) | 4.96910 | 0.172169 | ||||||||
\(834\) | 26.5403 | − | 28.1369i | 0.919016 | − | 0.974300i | ||||
\(835\) | −3.69029 | − | 37.4681i | −0.127708 | − | 1.29664i | ||||
\(836\) | −27.7621 | + | 49.5132i | −0.960172 | + | 1.71245i | ||||
\(837\) | −24.9266 | + | 35.0254i | −0.861588 | + | 1.21065i | ||||
\(838\) | 20.1571 | + | 43.7536i | 0.696315 | + | 1.51144i | ||||
\(839\) | 19.2916 | + | 3.83734i | 0.666021 | + | 0.132480i | 0.516511 | − | 0.856281i | \(-0.327231\pi\) |
0.149510 | + | 0.988760i | \(0.452231\pi\) | |||||||
\(840\) | 14.8707 | − | 1.60054i | 0.513087 | − | 0.0552240i | ||||
\(841\) | 4.97163 | + | 24.9941i | 0.171435 | + | 0.861864i | ||||
\(842\) | 1.72260 | − | 10.8580i | 0.0593646 | − | 0.374192i | ||||
\(843\) | 34.9443 | + | 14.8782i | 1.20355 | + | 0.512432i | ||||
\(844\) | 7.93222 | − | 3.09992i | 0.273038 | − | 0.106704i | ||||
\(845\) | 13.0343 | + | 24.3855i | 0.448394 | + | 0.838887i | ||||
\(846\) | −31.4850 | − | 16.0530i | −1.08248 | − | 0.551912i | ||||
\(847\) | 0.257291 | − | 0.621155i | 0.00884062 | − | 0.0213432i | ||||
\(848\) | −16.3655 | + | 7.91713i | −0.561994 | + | 0.271875i | ||||
\(849\) | −35.3691 | − | 29.6129i | −1.21387 | − | 1.01631i | ||||
\(850\) | 2.44629 | − | 1.43295i | 0.0839071 | − | 0.0491499i | ||||
\(851\) | −51.2548 | − | 15.5480i | −1.75699 | − | 0.532977i | ||||
\(852\) | 11.9158 | − | 20.7707i | 0.408228 | − | 0.711591i | ||||
\(853\) | −0.162582 | + | 1.65072i | −0.00556670 | + | 0.0565197i | −0.997567 | − | 0.0697178i | \(-0.977790\pi\) |
0.992000 | + | 0.126237i | \(0.0402901\pi\) | |||||||
\(854\) | 9.56529 | − | 15.6001i | 0.327317 | − | 0.533826i | ||||
\(855\) | −16.7252 | − | 42.7337i | −0.571988 | − | 1.46146i | ||||
\(856\) | 2.52176 | − | 0.296504i | 0.0861921 | − | 0.0101343i | ||||
\(857\) | 4.23595 | + | 6.33955i | 0.144697 | + | 0.216555i | 0.896738 | − | 0.442562i | \(-0.145930\pi\) |
−0.752041 | + | 0.659117i | \(0.770930\pi\) | |||||||
\(858\) | 11.5162 | − | 42.3794i | 0.393157 | − | 1.44681i | ||||
\(859\) | 10.8812 | + | 35.8705i | 0.371262 | + | 1.22389i | 0.921335 | + | 0.388770i | \(0.127100\pi\) |
−0.550073 | + | 0.835117i | \(0.685400\pi\) | |||||||
\(860\) | 32.4661 | − | 2.53839i | 1.10708 | − | 0.0865583i | ||||
\(861\) | 2.34857 | − | 11.2294i | 0.0800390 | − | 0.382698i | ||||
\(862\) | 0.0832023 | − | 1.40472i | 0.00283388 | − | 0.0478451i | ||||
\(863\) | 11.4175 | − | 11.4175i | 0.388655 | − | 0.388655i | −0.485552 | − | 0.874208i | \(-0.661381\pi\) |
0.874208 | + | 0.485552i | \(0.161381\pi\) | |||||||
\(864\) | −25.4848 | − | 14.6466i | −0.867011 | − | 0.498288i | ||||
\(865\) | −24.2740 | − | 24.2740i | −0.825342 | − | 0.825342i | ||||
\(866\) | 29.0583 | − | 25.8085i | 0.987442 | − | 0.877010i | ||||
\(867\) | 26.4315 | + | 5.52798i | 0.897660 | + | 0.187740i | ||||
\(868\) | −26.3974 | − | 8.59199i | −0.895985 | − | 0.291631i | ||||
\(869\) | 17.4125 | − | 5.28202i | 0.590679 | − | 0.179180i | ||||
\(870\) | −4.15365 | − | 7.25341i | −0.140822 | − | 0.245913i | ||||
\(871\) | −0.878316 | + | 0.586872i | −0.0297606 | + | 0.0198854i | ||||
\(872\) | 0.548464 | − | 6.90103i | 0.0185733 | − | 0.233698i | ||||
\(873\) | 44.6384 | − | 17.4706i | 1.51078 | − | 0.591290i | ||||
\(874\) | −89.3052 | + | 21.4161i | −3.02079 | + | 0.724409i | ||||
\(875\) | −20.3217 | − | 2.00151i | −0.686997 | − | 0.0676633i | ||||
\(876\) | 14.4214 | + | 1.85821i | 0.487253 | + | 0.0627831i | ||||
\(877\) | −5.04264 | + | 16.6233i | −0.170278 | + | 0.561331i | 0.829717 | + | 0.558184i | \(0.188502\pi\) |
−0.999995 | + | 0.00314669i | \(0.998998\pi\) | |||||||
\(878\) | −4.66498 | + | 17.8584i | −0.157436 | + | 0.602693i | ||||
\(879\) | −28.5605 | + | 34.1122i | −0.963320 | + | 1.15057i | ||||
\(880\) | −0.990094 | + | 24.5576i | −0.0333761 | + | 0.827837i | ||||
\(881\) | 39.2388 | + | 16.2532i | 1.32199 | + | 0.547585i | 0.928359 | − | 0.371684i | \(-0.121220\pi\) |
0.393629 | + | 0.919270i | \(0.371220\pi\) | |||||||
\(882\) | 5.48266 | + | 16.8892i | 0.184611 | + | 0.568689i | ||||
\(883\) | −9.66271 | + | 5.16482i | −0.325176 | + | 0.173810i | −0.625905 | − | 0.779900i | \(-0.715270\pi\) |
0.300729 | + | 0.953710i | \(0.402770\pi\) | |||||||
\(884\) | 0.254014 | − | 12.6059i | 0.00854341 | − | 0.423982i | ||||
\(885\) | 0.794729 | − | 1.86657i | 0.0267145 | − | 0.0627442i | ||||
\(886\) | −6.03531 | − | 8.31138i | −0.202760 | − | 0.279226i | ||||
\(887\) | −1.04938 | + | 0.208735i | −0.0352348 | + | 0.00700863i | −0.212676 | − | 0.977123i | \(-0.568218\pi\) |
0.177441 | + | 0.984131i | \(0.443218\pi\) | |||||||
\(888\) | −30.0984 | − | 15.7397i | −1.01004 | − | 0.528188i | ||||
\(889\) | 0.726420 | − | 3.65196i | 0.0243633 | − | 0.122483i | ||||
\(890\) | 0.0418649 | − | 0.113390i | 0.00140331 | − | 0.00380085i | ||||
\(891\) | 4.16421 | − | 30.1018i | 0.139506 | − | 1.00845i | ||||
\(892\) | −3.49171 | + | 29.3723i | −0.116911 | + | 0.983456i | ||||
\(893\) | −69.6842 | + | 6.86330i | −2.33189 | + | 0.229671i | ||||
\(894\) | −0.783776 | − | 26.8423i | −0.0262134 | − | 0.897741i | ||||
\(895\) | 27.8876i | 0.932179i | ||||||||
\(896\) | 4.10107 | − | 18.5327i | 0.137007 | − | 0.619133i | ||||
\(897\) | 62.9861 | − | 32.8754i | 2.10304 | − | 1.09768i | ||||
\(898\) | −14.6343 | + | 30.1521i | −0.488354 | + | 1.00619i | ||||
\(899\) | 1.52064 | + | 15.4393i | 0.0507161 | + | 0.514929i | ||||
\(900\) | 7.56952 | + | 6.73353i | 0.252317 | + | 0.224451i | ||||
\(901\) | −4.75895 | − | 2.54371i | −0.158544 | − | 0.0847434i | ||||
\(902\) | 17.6853 | + | 6.52959i | 0.588855 | + | 0.217412i | ||||
\(903\) | −7.30287 | − | 24.9541i | −0.243024 | − | 0.830421i | ||||
\(904\) | 15.2572 | + | 2.73669i | 0.507445 | + | 0.0910210i | ||||
\(905\) | 4.04248 | + | 20.3229i | 0.134377 | + | 0.675557i | ||||
\(906\) | 16.8015 | − | 33.7686i | 0.558191 | − | 1.12189i | ||||
\(907\) | 36.3485 | − | 29.8304i | 1.20693 | − | 0.990504i | 0.207006 | − | 0.978340i | \(-0.433628\pi\) |
0.999926 | − | 0.0121640i | \(-0.00387201\pi\) | |||||||
\(908\) | −0.382507 | + | 18.9826i | −0.0126940 | + | 0.629960i | ||||
\(909\) | 2.42504 | − | 20.4873i | 0.0804334 | − | 0.679520i | ||||
\(910\) | −13.8417 | + | 18.2757i | −0.458847 | + | 0.605832i | ||||
\(911\) | −6.55954 | + | 15.8361i | −0.217327 | + | 0.524674i | −0.994515 | − | 0.104595i | \(-0.966646\pi\) |
0.777188 | + | 0.629269i | \(0.216646\pi\) | |||||||
\(912\) | −58.1708 | + | 2.79766i | −1.92623 | + | 0.0926397i | ||||
\(913\) | 20.4928 | + | 49.4741i | 0.678214 | + | 1.63735i | ||||
\(914\) | 23.9532 | + | 6.25705i | 0.792300 | + | 0.206965i | ||||
\(915\) | −23.8878 | + | 4.50811i | −0.789705 | + | 0.149034i | ||||
\(916\) | 0.748507 | − | 1.07278i | 0.0247314 | − | 0.0354458i | ||||
\(917\) | −1.44799 | + | 14.7017i | −0.0478167 | + | 0.485491i | ||||
\(918\) | −0.938003 | − | 8.67402i | −0.0309587 | − | 0.286285i | ||||
\(919\) | 13.7233 | − | 20.5383i | 0.452689 | − | 0.677497i | −0.532992 | − | 0.846121i | \(-0.678932\pi\) |
0.985681 | + | 0.168624i | \(0.0539322\pi\) | |||||||
\(920\) | −30.2556 | + | 25.8005i | −0.997496 | + | 0.850616i | ||||
\(921\) | −25.1031 | + | 45.8750i | −0.827176 | + | 1.51163i | ||||
\(922\) | −30.9863 | + | 1.20950i | −1.02048 | + | 0.0398328i | ||||
\(923\) | 10.6549 | + | 35.1244i | 0.350709 | + | 1.15613i | ||||
\(924\) | 19.3523 | − | 3.24986i | 0.636644 | − | 0.106913i | ||||
\(925\) | 9.04940 | + | 7.42665i | 0.297542 | + | 0.244187i | ||||
\(926\) | −0.783579 | − | 0.882247i | −0.0257500 | − | 0.0289924i | ||||
\(927\) | 2.28715 | + | 12.8084i | 0.0751198 | + | 0.420681i | ||||
\(928\) | −10.4064 | + | 2.05610i | −0.341607 | + | 0.0674947i | ||||
\(929\) | 16.2077 | + | 16.2077i | 0.531759 | + | 0.531759i | 0.921096 | − | 0.389337i | \(-0.127296\pi\) |
−0.389337 | + | 0.921096i | \(0.627296\pi\) | |||||||
\(930\) | 15.1011 | + | 33.6446i | 0.495184 | + | 1.10325i | ||||
\(931\) | 27.1957 | + | 22.3189i | 0.891303 | + | 0.731473i | ||||
\(932\) | 5.93813 | − | 0.464277i | 0.194510 | − | 0.0152079i | ||||
\(933\) | 9.37057 | − | 9.18827i | 0.306779 | − | 0.300811i | ||||
\(934\) | 9.06702 | − | 9.80360i | 0.296682 | − | 0.320784i | ||||
\(935\) | −6.06559 | + | 4.05290i | −0.198366 | + | 0.132544i | ||||
\(936\) | 43.1258 | − | 13.0454i | 1.40961 | − | 0.426401i | ||||
\(937\) | −10.5724 | + | 15.8227i | −0.345385 | + | 0.516905i | −0.962973 | − | 0.269596i | \(-0.913110\pi\) |
0.617588 | + | 0.786501i | \(0.288110\pi\) | |||||||
\(938\) | −0.402391 | − | 0.246727i | −0.0131385 | − | 0.00805593i | ||||
\(939\) | 14.4440 | + | 35.8633i | 0.471362 | + | 1.17035i | ||||
\(940\) | −25.5419 | + | 16.3320i | −0.833085 | + | 0.532691i | ||||
\(941\) | −4.75093 | + | 15.6617i | −0.154876 | + | 0.510558i | −0.999700 | − | 0.0244863i | \(-0.992205\pi\) |
0.844824 | + | 0.535044i | \(0.179705\pi\) | |||||||
\(942\) | 5.81892 | + | 3.64702i | 0.189591 | + | 0.118826i | ||||
\(943\) | 11.6718 | + | 28.1782i | 0.380085 | + | 0.917607i | ||||
\(944\) | −1.92278 | − | 1.71215i | −0.0625811 | − | 0.0557259i | ||||
\(945\) | −7.88712 | + | 13.7642i | −0.256568 | + | 0.447751i | ||||
\(946\) | 42.3246 | − | 5.84315i | 1.37609 | − | 0.189977i | ||||
\(947\) | −26.4715 | + | 14.1493i | −0.860207 | + | 0.459790i | −0.841641 | − | 0.540037i | \(-0.818410\pi\) |
−0.0185662 | + | 0.999828i | \(0.505910\pi\) | |||||||
\(948\) | 14.0693 | + | 12.2700i | 0.456949 | + | 0.398512i | ||||
\(949\) | −17.2290 | + | 14.1395i | −0.559277 | + | 0.458987i | ||||
\(950\) | 19.8247 | + | 3.14513i | 0.643197 | + | 0.102041i | ||||
\(951\) | −5.06197 | + | 4.07171i | −0.164146 | + | 0.132034i | ||||
\(952\) | 5.16343 | − | 2.25380i | 0.167348 | − | 0.0730461i | ||||
\(953\) | −5.10090 | + | 25.6439i | −0.165234 | + | 0.830689i | 0.805881 | + | 0.592078i | \(0.201692\pi\) |
−0.971115 | + | 0.238611i | \(0.923308\pi\) | |||||||
\(954\) | 3.39490 | − | 18.9816i | 0.109914 | − | 0.614551i | ||||
\(955\) | −10.7523 | − | 5.74722i | −0.347936 | − | 0.185976i | ||||
\(956\) | 7.10455 | − | 12.6708i | 0.229778 | − | 0.409804i | ||||
\(957\) | −6.00281 | − | 9.17773i | −0.194043 | − | 0.296674i | ||||
\(958\) | −13.2139 | − | 38.1373i | −0.426922 | − | 1.23216i | ||||
\(959\) | − | 23.7027i | − | 0.765401i | ||||||
\(960\) | −21.8975 | + | 12.5023i | −0.706738 | + | 0.403510i | ||||
\(961\) | − | 37.4486i | − | 1.20802i | ||||||
\(962\) | 49.1939 | − | 17.0448i | 1.58607 | − | 0.549547i | ||||
\(963\) | −1.31596 | + | 2.34976i | −0.0424062 | + | 0.0757199i | ||||
\(964\) | 27.1619 | − | 7.64541i | 0.874825 | − | 0.246242i | ||||
\(965\) | 7.32116 | + | 3.91324i | 0.235676 | + | 0.125972i | ||||
\(966\) | 25.1184 | + | 19.4155i | 0.808172 | + | 0.624682i | ||||
\(967\) | 8.29443 | − | 41.6989i | 0.266731 | − | 1.34095i | −0.582459 | − | 0.812860i | \(-0.697909\pi\) |
0.849190 | − | 0.528087i | \(-0.177091\pi\) | |||||||
\(968\) | 0.0213829 | + | 1.13328i | 0.000687271 | + | 0.0364251i | ||||
\(969\) | −10.8344 | − | 13.4693i | −0.348050 | − | 0.432697i | ||||
\(970\) | 6.44313 | − | 40.6130i | 0.206877 | − | 1.30400i | ||||
\(971\) | −32.4871 | + | 26.6615i | −1.04256 | + | 0.855609i | −0.989724 | − | 0.142994i | \(-0.954327\pi\) |
−0.0528387 | + | 0.998603i | \(0.516827\pi\) | |||||||
\(972\) | 28.4467 | − | 12.7586i | 0.912430 | − | 0.409233i | ||||
\(973\) | −23.3639 | + | 12.4882i | −0.749011 | + | 0.400355i | ||||
\(974\) | −3.96456 | − | 28.7172i | −0.127033 | − | 0.920157i | ||||
\(975\) | −15.4685 | + | 1.37025i | −0.495390 | + | 0.0438830i | ||||
\(976\) | −4.25823 | + | 30.5552i | −0.136303 | + | 0.978048i | ||||
\(977\) | 21.1283 | + | 51.0082i | 0.675953 | + | 1.63190i | 0.771316 | + | 0.636453i | \(0.219599\pi\) |
−0.0953622 | + | 0.995443i | \(0.530401\pi\) | |||||||
\(978\) | −8.49593 | − | 5.32483i | −0.271670 | − | 0.170269i | ||||
\(979\) | 0.0460351 | − | 0.151757i | 0.00147129 | − | 0.00485019i | ||||
\(980\) | 14.8769 | + | 3.27209i | 0.475225 | + | 0.104523i | ||||
\(981\) | 5.58341 | + | 4.76878i | 0.178264 | + | 0.152255i | ||||
\(982\) | 31.6433 | − | 51.6074i | 1.00978 | − | 1.64686i | ||||
\(983\) | −8.76843 | + | 13.1229i | −0.279669 | + | 0.418555i | −0.944536 | − | 0.328407i | \(-0.893488\pi\) |
0.664867 | + | 0.746962i | \(0.268488\pi\) | |||||||
\(984\) | 3.94469 | + | 18.9347i | 0.125752 | + | 0.603618i | ||||
\(985\) | −7.63703 | + | 5.10290i | −0.243336 | + | 0.162592i | ||||
\(986\) | −2.31147 | − | 2.13780i | −0.0736122 | − | 0.0680815i | ||||
\(987\) | 16.9472 | + | 17.2834i | 0.539434 | + | 0.550137i | ||||
\(988\) | 58.0102 | − | 67.8507i | 1.84555 | − | 2.15862i | ||||
\(989\) | 53.4336 | + | 43.8518i | 1.69909 | + | 1.39441i | ||||
\(990\) | −20.4677 | − | 16.1443i | −0.650506 | − | 0.513098i | ||||
\(991\) | 6.19859 | + | 6.19859i | 0.196905 | + | 0.196905i | 0.798672 | − | 0.601767i | \(-0.205536\pi\) |
−0.601767 | + | 0.798672i | \(0.705536\pi\) | |||||||
\(992\) | 46.5817 | − | 4.52761i | 1.47897 | − | 0.143752i | ||||
\(993\) | −0.500418 | + | 1.59315i | −0.0158803 | + | 0.0505571i | ||||
\(994\) | −12.2627 | + | 10.8913i | −0.388948 | + | 0.345450i | ||||
\(995\) | 5.99690 | + | 4.92152i | 0.190114 | + | 0.156023i | ||||
\(996\) | −31.8780 | + | 44.7456i | −1.01009 | + | 1.41782i | ||||
\(997\) | −1.96836 | − | 6.48882i | −0.0623387 | − | 0.205503i | 0.920239 | − | 0.391358i | \(-0.127995\pi\) |
−0.982577 | + | 0.185855i | \(0.940495\pi\) | |||||||
\(998\) | −0.632572 | − | 16.2060i | −0.0200237 | − | 0.512990i | ||||
\(999\) | 32.2585 | − | 16.0390i | 1.02061 | − | 0.507450i |
(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 | 384.2.w.a.203.22 | ✓ | 992 | |
3.2 | odd | 2 | inner | 384.2.w.a.203.41 | yes | 992 | |
128.99 | odd | 32 | inner | 384.2.w.a.227.41 | yes | 992 | |
384.227 | even | 32 | inner | 384.2.w.a.227.22 | yes | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.w.a.203.22 | ✓ | 992 | 1.1 | even | 1 | trivial | |
384.2.w.a.203.41 | yes | 992 | 3.2 | odd | 2 | inner | |
384.2.w.a.227.22 | yes | 992 | 384.227 | even | 32 | inner | |
384.2.w.a.227.41 | yes | 992 | 128.99 | odd | 32 | inner |