Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(11,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.v (of order \(18\), degree \(6\), 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: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 83.16 | ||
Character | \(\chi\) | \(=\) | 216.83 |
Dual form | 216.2.v.b.203.16 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.117471 | + | 1.40933i | −0.0830649 | + | 0.996544i | ||||
\(3\) | 1.66179 | + | 0.488315i | 0.959435 | + | 0.281929i | ||||
\(4\) | −1.97240 | − | 0.331111i | −0.986200 | − | 0.165556i | ||||
\(5\) | −1.82990 | + | 1.53547i | −0.818356 | + | 0.686682i | −0.952586 | − | 0.304268i | \(-0.901588\pi\) |
0.134231 | + | 0.990950i | \(0.457144\pi\) | |||||||
\(6\) | −0.883408 | + | 2.28464i | −0.360650 | + | 0.932701i | ||||
\(7\) | 0.455069 | + | 1.25029i | 0.172000 | + | 0.472566i | 0.995501 | − | 0.0947484i | \(-0.0302047\pi\) |
−0.823501 | + | 0.567314i | \(0.807982\pi\) | |||||||
\(8\) | 0.698344 | − | 2.74086i | 0.246902 | − | 0.969040i | ||||
\(9\) | 2.52310 | + | 1.62295i | 0.841033 | + | 0.540984i | ||||
\(10\) | −1.94901 | − | 2.75930i | −0.616332 | − | 0.872567i | ||||
\(11\) | −3.07907 | + | 3.66949i | −0.928374 | + | 1.10639i | 0.0657167 | + | 0.997838i | \(0.479067\pi\) |
−0.994091 | + | 0.108554i | \(0.965378\pi\) | |||||||
\(12\) | −3.11603 | − | 1.51339i | −0.899521 | − | 0.436878i | ||||
\(13\) | 0.552142 | − | 0.0973575i | 0.153137 | − | 0.0270021i | −0.0965542 | − | 0.995328i | \(-0.530782\pi\) |
0.249691 | + | 0.968326i | \(0.419671\pi\) | |||||||
\(14\) | −1.81553 | + | 0.494467i | −0.485220 | + | 0.132152i | ||||
\(15\) | −3.79070 | + | 1.65806i | −0.978755 | + | 0.428109i | ||||
\(16\) | 3.78073 | + | 1.30617i | 0.945183 | + | 0.326542i | ||||
\(17\) | 0.710885 | − | 0.410430i | 0.172415 | − | 0.0995438i | −0.411309 | − | 0.911496i | \(-0.634928\pi\) |
0.583724 | + | 0.811952i | \(0.301595\pi\) | |||||||
\(18\) | −2.58366 | + | 3.36522i | −0.608975 | + | 0.793189i | ||||
\(19\) | 3.02483 | − | 5.23916i | 0.693944 | − | 1.20195i | −0.276592 | − | 0.960987i | \(-0.589205\pi\) |
0.970536 | − | 0.240958i | \(-0.0774617\pi\) | |||||||
\(20\) | 4.11771 | − | 2.42266i | 0.920747 | − | 0.541723i | ||||
\(21\) | 0.145694 | + | 2.29994i | 0.0317930 | + | 0.501888i | ||||
\(22\) | −4.80981 | − | 4.77047i | −1.02545 | − | 1.01707i | ||||
\(23\) | 4.41436 | + | 1.60670i | 0.920457 | + | 0.335019i | 0.758420 | − | 0.651766i | \(-0.225971\pi\) |
0.162037 | + | 0.986785i | \(0.448194\pi\) | |||||||
\(24\) | 2.49890 | − | 4.21372i | 0.510087 | − | 0.860123i | ||||
\(25\) | 0.122629 | − | 0.695465i | 0.0245258 | − | 0.139093i | ||||
\(26\) | 0.0723476 | + | 0.789585i | 0.0141885 | + | 0.154850i | ||||
\(27\) | 3.40035 | + | 3.92907i | 0.654397 | + | 0.756151i | ||||
\(28\) | −0.483593 | − | 2.61676i | −0.0913905 | − | 0.494520i | ||||
\(29\) | 0.586451 | − | 3.32593i | 0.108901 | − | 0.617610i | −0.880689 | − | 0.473695i | \(-0.842920\pi\) |
0.989590 | − | 0.143915i | \(-0.0459691\pi\) | |||||||
\(30\) | −1.89145 | − | 5.53711i | −0.345330 | − | 1.01093i | ||||
\(31\) | 3.71351 | − | 10.2028i | 0.666966 | − | 1.83247i | 0.124841 | − | 0.992177i | \(-0.460158\pi\) |
0.542125 | − | 0.840298i | \(-0.317620\pi\) | |||||||
\(32\) | −2.28494 | + | 5.17485i | −0.403925 | + | 0.914792i | ||||
\(33\) | −6.90863 | + | 4.59437i | −1.20264 | + | 0.799777i | ||||
\(34\) | 0.494921 | + | 1.05008i | 0.0848782 | + | 0.180088i | ||||
\(35\) | −2.75251 | − | 1.58916i | −0.465260 | − | 0.268618i | ||||
\(36\) | −4.43918 | − | 4.03654i | −0.739864 | − | 0.672757i | ||||
\(37\) | −7.25187 | + | 4.18687i | −1.19220 | + | 0.688317i | −0.958805 | − | 0.284065i | \(-0.908317\pi\) |
−0.233395 | + | 0.972382i | \(0.574983\pi\) | |||||||
\(38\) | 7.02835 | + | 4.87842i | 1.14015 | + | 0.791385i | ||||
\(39\) | 0.965085 | + | 0.107831i | 0.154537 | + | 0.0172668i | ||||
\(40\) | 2.93060 | + | 6.08778i | 0.463369 | + | 0.962563i | ||||
\(41\) | −4.16735 | + | 0.734815i | −0.650830 | + | 0.114759i | −0.489309 | − | 0.872110i | \(-0.662751\pi\) |
−0.161521 | + | 0.986869i | \(0.551640\pi\) | |||||||
\(42\) | −3.25848 | − | 0.0648473i | −0.502795 | − | 0.0100061i | ||||
\(43\) | 2.38891 | + | 2.00453i | 0.364305 | + | 0.305689i | 0.806504 | − | 0.591229i | \(-0.201357\pi\) |
−0.442199 | + | 0.896917i | \(0.645801\pi\) | |||||||
\(44\) | 7.28816 | − | 6.21819i | 1.09873 | − | 0.937428i | ||||
\(45\) | −7.10901 | + | 0.904294i | −1.05975 | + | 0.134804i | ||||
\(46\) | −2.78292 | + | 6.03253i | −0.410319 | + | 0.889448i | ||||
\(47\) | 10.7030 | − | 3.89558i | 1.56119 | − | 0.568228i | 0.590185 | − | 0.807268i | \(-0.299055\pi\) |
0.971010 | + | 0.239039i | \(0.0768325\pi\) | |||||||
\(48\) | 5.64496 | + | 4.01676i | 0.814780 | + | 0.579770i | ||||
\(49\) | 4.00617 | − | 3.36158i | 0.572310 | − | 0.480225i | ||||
\(50\) | 0.965731 | + | 0.254522i | 0.136575 | + | 0.0359948i | ||||
\(51\) | 1.38176 | − | 0.334913i | 0.193485 | − | 0.0468972i | ||||
\(52\) | −1.12128 | + | 0.00920769i | −0.155494 | + | 0.00127688i | ||||
\(53\) | −0.541186 | −0.0743377 | −0.0371688 | − | 0.999309i | \(-0.511834\pi\) | ||||
−0.0371688 | + | 0.999309i | \(0.511834\pi\) | |||||||
\(54\) | −5.93679 | + | 4.33065i | −0.807895 | + | 0.589326i | ||||
\(55\) | − | 11.4426i | − | 1.54292i | ||||||
\(56\) | 3.74467 | − | 0.374146i | 0.500403 | − | 0.0499974i | ||||
\(57\) | 7.58499 | − | 7.22932i | 1.00466 | − | 0.957547i | ||||
\(58\) | 4.61843 | + | 1.21720i | 0.606430 | + | 0.159827i | ||||
\(59\) | 4.04416 | + | 4.81965i | 0.526505 | + | 0.627464i | 0.962106 | − | 0.272675i | \(-0.0879085\pi\) |
−0.435601 | + | 0.900140i | \(0.643464\pi\) | |||||||
\(60\) | 8.02579 | − | 2.01522i | 1.03612 | − | 0.260163i | ||||
\(61\) | 3.02063 | + | 8.29912i | 0.386752 | + | 1.06259i | 0.968454 | + | 0.249191i | \(0.0801647\pi\) |
−0.581702 | + | 0.813402i | \(0.697613\pi\) | |||||||
\(62\) | 13.9428 | + | 6.43208i | 1.77074 | + | 0.816875i | ||||
\(63\) | −0.880982 | + | 3.89316i | −0.110993 | + | 0.490493i | ||||
\(64\) | −7.02463 | − | 3.82813i | −0.878079 | − | 0.478516i | ||||
\(65\) | −0.860875 | + | 1.02595i | −0.106778 | + | 0.127253i | ||||
\(66\) | −5.66340 | − | 10.2762i | −0.697116 | − | 1.26492i | ||||
\(67\) | −0.850868 | − | 4.82551i | −0.103950 | − | 0.589530i | −0.991634 | − | 0.129078i | \(-0.958798\pi\) |
0.887684 | − | 0.460452i | \(-0.152313\pi\) | |||||||
\(68\) | −1.53805 | + | 0.574150i | −0.186516 | + | 0.0696259i | ||||
\(69\) | 6.55117 | + | 4.82559i | 0.788668 | + | 0.580932i | ||||
\(70\) | 2.56299 | − | 3.69251i | 0.306336 | − | 0.441339i | ||||
\(71\) | −2.20493 | − | 3.81906i | −0.261677 | − | 0.453239i | 0.705010 | − | 0.709197i | \(-0.250942\pi\) |
−0.966688 | + | 0.255958i | \(0.917609\pi\) | |||||||
\(72\) | 6.21028 | − | 5.78208i | 0.731889 | − | 0.681424i | ||||
\(73\) | −0.205251 | + | 0.355506i | −0.0240229 | + | 0.0416088i | −0.877787 | − | 0.479051i | \(-0.840981\pi\) |
0.853764 | + | 0.520660i | \(0.174314\pi\) | |||||||
\(74\) | −5.04877 | − | 10.7121i | −0.586908 | − | 1.24525i | ||||
\(75\) | 0.543390 | − | 1.09584i | 0.0627452 | − | 0.126536i | ||||
\(76\) | −7.70092 | + | 9.33217i | −0.883356 | + | 1.07047i | ||||
\(77\) | −5.98912 | − | 2.17986i | −0.682524 | − | 0.248418i | ||||
\(78\) | −0.265339 | + | 1.34745i | −0.0300437 | + | 0.152569i | ||||
\(79\) | −4.56009 | − | 0.804066i | −0.513050 | − | 0.0904645i | −0.0888713 | − | 0.996043i | \(-0.528326\pi\) |
−0.424179 | + | 0.905579i | \(0.639437\pi\) | |||||||
\(80\) | −8.92394 | + | 3.41503i | −0.997726 | + | 0.381812i | ||||
\(81\) | 3.73204 | + | 8.18974i | 0.414672 | + | 0.909971i | ||||
\(82\) | −0.546051 | − | 5.95947i | −0.0603012 | − | 0.658113i | ||||
\(83\) | −9.31771 | − | 1.64296i | −1.02275 | − | 0.180339i | −0.362974 | − | 0.931799i | \(-0.618239\pi\) |
−0.659778 | + | 0.751461i | \(0.729350\pi\) | |||||||
\(84\) | 0.474169 | − | 4.58465i | 0.0517361 | − | 0.500226i | ||||
\(85\) | −0.670647 | + | 1.84259i | −0.0727418 | + | 0.199857i | ||||
\(86\) | −3.10567 | + | 3.13128i | −0.334893 | + | 0.337655i | ||||
\(87\) | 2.59866 | − | 5.24063i | 0.278606 | − | 0.561854i | ||||
\(88\) | 7.90731 | + | 11.0019i | 0.842922 | + | 1.17280i | ||||
\(89\) | −8.67486 | − | 5.00843i | −0.919533 | − | 0.530893i | −0.0360470 | − | 0.999350i | \(-0.511477\pi\) |
−0.883486 | + | 0.468457i | \(0.844810\pi\) | |||||||
\(90\) | −0.439340 | − | 10.1251i | −0.0463105 | − | 1.06728i | ||||
\(91\) | 0.372988 | + | 0.646034i | 0.0390998 | + | 0.0677228i | ||||
\(92\) | −8.17489 | − | 4.63069i | −0.852291 | − | 0.482783i | ||||
\(93\) | 11.1532 | − | 15.1415i | 1.15654 | − | 1.57010i | ||||
\(94\) | 4.23284 | + | 15.5417i | 0.436584 | + | 1.60300i | ||||
\(95\) | 2.50943 | + | 14.2317i | 0.257462 | + | 1.46014i | ||||
\(96\) | −6.32405 | + | 7.48374i | −0.645446 | + | 0.763806i | ||||
\(97\) | −6.77349 | − | 5.68363i | −0.687744 | − | 0.577085i | 0.230514 | − | 0.973069i | \(-0.425959\pi\) |
−0.918258 | + | 0.395984i | \(0.870404\pi\) | |||||||
\(98\) | 4.26695 | + | 6.04089i | 0.431027 | + | 0.610222i | ||||
\(99\) | −13.7242 | + | 4.26130i | −1.37933 | + | 0.428277i | ||||
\(100\) | −0.472150 | + | 1.33113i | −0.0472150 | + | 0.133113i | ||||
\(101\) | −13.1186 | + | 4.77480i | −1.30535 | + | 0.475110i | −0.898737 | − | 0.438488i | \(-0.855514\pi\) |
−0.406617 | + | 0.913599i | \(0.633292\pi\) | |||||||
\(102\) | 0.309684 | + | 1.98670i | 0.0306633 | + | 0.196712i | ||||
\(103\) | 9.86004 | + | 11.7507i | 0.971538 | + | 1.15783i | 0.987445 | + | 0.157961i | \(0.0504919\pi\) |
−0.0159072 | + | 0.999873i | \(0.505064\pi\) | |||||||
\(104\) | 0.118742 | − | 1.58133i | 0.0116436 | − | 0.155062i | ||||
\(105\) | −3.79809 | − | 3.98495i | −0.370656 | − | 0.388891i | ||||
\(106\) | 0.0635739 | − | 0.762708i | 0.00617485 | − | 0.0740808i | ||||
\(107\) | − | 16.9514i | − | 1.63875i | −0.573257 | − | 0.819375i | \(-0.694321\pi\) | ||
0.573257 | − | 0.819375i | \(-0.305679\pi\) | |||||||
\(108\) | −5.40589 | − | 8.87560i | −0.520182 | − | 0.854055i | ||||
\(109\) | 8.61539i | 0.825205i | 0.910911 | + | 0.412602i | \(0.135380\pi\) | ||||
−0.910911 | + | 0.412602i | \(0.864620\pi\) | |||||||
\(110\) | 16.1264 | + | 1.34418i | 1.53759 | + | 0.128162i | ||||
\(111\) | −14.0956 | + | 3.41651i | −1.33789 | + | 0.324280i | ||||
\(112\) | 0.0874022 | + | 5.32141i | 0.00825874 | + | 0.502826i | ||||
\(113\) | 3.34008 | + | 3.98056i | 0.314209 | + | 0.374459i | 0.899916 | − | 0.436063i | \(-0.143628\pi\) |
−0.585707 | + | 0.810523i | \(0.699183\pi\) | |||||||
\(114\) | 9.29745 | + | 11.5390i | 0.870786 | + | 1.08072i | ||||
\(115\) | −10.5449 | + | 3.83802i | −0.983313 | + | 0.357897i | ||||
\(116\) | −2.25797 | + | 6.36589i | −0.209647 | + | 0.591058i | ||||
\(117\) | 1.55111 | + | 0.650458i | 0.143401 | + | 0.0601349i | ||||
\(118\) | −7.26753 | + | 5.13337i | −0.669030 | + | 0.472565i | ||||
\(119\) | 0.836659 | + | 0.702040i | 0.0766964 | + | 0.0643559i | ||||
\(120\) | 1.89730 | + | 11.5477i | 0.173199 | + | 1.05415i | ||||
\(121\) | −2.07437 | − | 11.7643i | −0.188579 | − | 1.06948i | ||||
\(122\) | −12.0510 | + | 3.28215i | −1.09105 | + | 0.297152i | ||||
\(123\) | −7.28408 | − | 0.813866i | −0.656783 | − | 0.0733838i | ||||
\(124\) | −10.7028 | + | 18.8944i | −0.961139 | + | 1.69677i | ||||
\(125\) | −5.12845 | − | 8.88273i | −0.458702 | − | 0.794495i | ||||
\(126\) | −5.38325 | − | 1.69893i | −0.479578 | − | 0.151352i | ||||
\(127\) | −4.00356 | − | 2.31146i | −0.355259 | − | 0.205109i | 0.311740 | − | 0.950167i | \(-0.399088\pi\) |
−0.666999 | + | 0.745059i | \(0.732421\pi\) | |||||||
\(128\) | 6.22028 | − | 9.45030i | 0.549800 | − | 0.835296i | ||||
\(129\) | 2.99103 | + | 4.49766i | 0.263345 | + | 0.395997i | ||||
\(130\) | −1.34477 | − | 1.33377i | −0.117944 | − | 0.116980i | ||||
\(131\) | 3.93615 | − | 10.8145i | 0.343903 | − | 0.944865i | −0.640348 | − | 0.768085i | \(-0.721210\pi\) |
0.984250 | − | 0.176780i | \(-0.0565680\pi\) | |||||||
\(132\) | 15.1478 | − | 6.77442i | 1.31845 | − | 0.589637i | ||||
\(133\) | 7.92698 | + | 1.39774i | 0.687357 | + | 0.121200i | ||||
\(134\) | 6.90067 | − | 0.632291i | 0.596127 | − | 0.0546216i | ||||
\(135\) | −12.2553 | − | 1.96868i | −1.05477 | − | 0.169437i | ||||
\(136\) | −0.628488 | − | 2.23506i | −0.0538924 | − | 0.191655i | ||||
\(137\) | −8.30956 | − | 1.46520i | −0.709933 | − | 0.125180i | −0.192991 | − | 0.981201i | \(-0.561819\pi\) |
−0.516943 | + | 0.856020i | \(0.672930\pi\) | |||||||
\(138\) | −7.57040 | + | 8.66586i | −0.644435 | + | 0.737687i | ||||
\(139\) | −3.15230 | − | 1.14734i | −0.267375 | − | 0.0973165i | 0.204854 | − | 0.978793i | \(-0.434328\pi\) |
−0.472229 | + | 0.881476i | \(0.656550\pi\) | |||||||
\(140\) | 4.90287 | + | 4.04586i | 0.414368 | + | 0.341937i | ||||
\(141\) | 19.6884 | − | 1.24720i | 1.65807 | − | 0.105033i | ||||
\(142\) | 5.64131 | − | 2.65884i | 0.473409 | − | 0.223125i | ||||
\(143\) | −1.34283 | + | 2.32585i | −0.112293 | + | 0.194497i | ||||
\(144\) | 7.41930 | + | 9.43154i | 0.618275 | + | 0.785962i | ||||
\(145\) | 4.03371 | + | 6.98660i | 0.334982 | + | 0.580205i | ||||
\(146\) | −0.476913 | − | 0.331028i | −0.0394696 | − | 0.0273961i | ||||
\(147\) | 8.29892 | − | 3.62996i | 0.684484 | − | 0.299394i | ||||
\(148\) | 15.6899 | − | 5.85701i | 1.28970 | − | 0.481443i | ||||
\(149\) | −2.96736 | − | 16.8288i | −0.243096 | − | 1.37867i | −0.824873 | − | 0.565318i | \(-0.808754\pi\) |
0.581777 | − | 0.813348i | \(-0.302358\pi\) | |||||||
\(150\) | 1.48056 | + | 0.894543i | 0.120887 | + | 0.0730391i | ||||
\(151\) | −2.38057 | + | 2.83705i | −0.193728 | + | 0.230876i | −0.854161 | − | 0.520009i | \(-0.825929\pi\) |
0.660433 | + | 0.750885i | \(0.270373\pi\) | |||||||
\(152\) | −12.2474 | − | 11.9494i | −0.993398 | − | 0.969222i | ||||
\(153\) | 2.45974 | + | 0.118179i | 0.198858 | + | 0.00955422i | ||||
\(154\) | 3.77569 | − | 8.18455i | 0.304254 | − | 0.659530i | ||||
\(155\) | 8.87070 | + | 24.3720i | 0.712512 | + | 1.95761i | ||||
\(156\) | −1.86783 | − | 0.532237i | −0.149546 | − | 0.0426130i | ||||
\(157\) | −4.95438 | − | 5.90440i | −0.395402 | − | 0.471222i | 0.531210 | − | 0.847240i | \(-0.321738\pi\) |
−0.926612 | + | 0.376018i | \(0.877293\pi\) | |||||||
\(158\) | 1.66887 | − | 6.33219i | 0.132768 | − | 0.503762i | ||||
\(159\) | −0.899338 | − | 0.264269i | −0.0713222 | − | 0.0209579i | ||||
\(160\) | −3.76459 | − | 12.9779i | −0.297617 | − | 1.02599i | ||||
\(161\) | 6.25039i | 0.492600i | ||||||||
\(162\) | −11.9804 | + | 4.29761i | −0.941271 | + | 0.337652i | ||||
\(163\) | 20.1482 | 1.57813 | 0.789066 | − | 0.614309i | \(-0.210565\pi\) | ||||
0.789066 | + | 0.614309i | \(0.210565\pi\) | |||||||
\(164\) | 8.46298 | − | 0.0694960i | 0.660848 | − | 0.00542672i | ||||
\(165\) | 5.58759 | − | 19.0152i | 0.434993 | − | 1.48033i | ||||
\(166\) | 3.41004 | − | 12.9387i | 0.264670 | − | 1.00424i | ||||
\(167\) | −11.7203 | + | 9.83453i | −0.906946 | + | 0.761018i | −0.971536 | − | 0.236894i | \(-0.923871\pi\) |
0.0645892 | + | 0.997912i | \(0.479426\pi\) | |||||||
\(168\) | 6.40556 | + | 1.20682i | 0.494200 | + | 0.0931085i | ||||
\(169\) | −11.9206 | + | 4.33875i | −0.916971 | + | 0.333750i | ||||
\(170\) | −2.51802 | − | 1.16161i | −0.193124 | − | 0.0890915i | ||||
\(171\) | 16.1349 | − | 8.30975i | 1.23386 | − | 0.635463i | ||||
\(172\) | −4.04817 | − | 4.74474i | −0.308670 | − | 0.361783i | ||||
\(173\) | 4.70819 | + | 3.95064i | 0.357957 | + | 0.300362i | 0.803976 | − | 0.594662i | \(-0.202714\pi\) |
−0.446019 | + | 0.895024i | \(0.647159\pi\) | |||||||
\(174\) | 7.08049 | + | 4.27798i | 0.536770 | + | 0.324313i | ||||
\(175\) | 0.925339 | − | 0.163162i | 0.0699490 | − | 0.0123339i | ||||
\(176\) | −16.4341 | + | 9.85157i | −1.23877 | + | 0.742590i | ||||
\(177\) | 4.36705 | + | 9.98407i | 0.328248 | + | 0.750448i | ||||
\(178\) | 8.07756 | − | 11.6374i | 0.605439 | − | 0.872257i | ||||
\(179\) | −15.0820 | + | 8.70758i | −1.12728 | + | 0.650835i | −0.943249 | − | 0.332086i | \(-0.892248\pi\) |
−0.184030 | + | 0.982921i | \(0.558914\pi\) | |||||||
\(180\) | 14.3212 | + | 0.570242i | 1.06744 | + | 0.0425033i | ||||
\(181\) | 20.6704 | + | 11.9341i | 1.53642 | + | 0.887051i | 0.999044 | + | 0.0437065i | \(0.0139167\pi\) |
0.537373 | + | 0.843345i | \(0.319417\pi\) | |||||||
\(182\) | −0.954288 | + | 0.449771i | −0.0707365 | + | 0.0333392i | ||||
\(183\) | 0.967078 | + | 15.2664i | 0.0714885 | + | 1.12853i | ||||
\(184\) | 7.48647 | − | 10.9771i | 0.551910 | − | 0.809244i | ||||
\(185\) | 6.84139 | − | 18.7966i | 0.502989 | − | 1.38195i | ||||
\(186\) | 20.0292 | + | 17.4973i | 1.46861 | + | 1.28296i | ||||
\(187\) | −0.682796 | + | 3.87233i | −0.0499310 | + | 0.283173i | ||||
\(188\) | −22.4005 | + | 4.13975i | −1.63372 | + | 0.301923i | ||||
\(189\) | −3.36510 | + | 6.03943i | −0.244775 | + | 0.439304i | ||||
\(190\) | −20.3518 | + | 1.86479i | −1.47648 | + | 0.135286i | ||||
\(191\) | 0.751494 | − | 4.26194i | 0.0543762 | − | 0.308383i | −0.945474 | − | 0.325698i | \(-0.894401\pi\) |
0.999850 | + | 0.0173151i | \(0.00551185\pi\) | |||||||
\(192\) | −9.80413 | − | 9.79178i | −0.707552 | − | 0.706661i | ||||
\(193\) | 2.14782 | + | 0.781743i | 0.154604 | + | 0.0562711i | 0.418163 | − | 0.908372i | \(-0.362674\pi\) |
−0.263559 | + | 0.964643i | \(0.584896\pi\) | |||||||
\(194\) | 8.80578 | − | 8.87839i | 0.632218 | − | 0.637431i | ||||
\(195\) | −1.93158 | + | 1.28454i | −0.138323 | + | 0.0919876i | ||||
\(196\) | −9.01483 | + | 5.30389i | −0.643916 | + | 0.378849i | ||||
\(197\) | 7.00375 | − | 12.1308i | 0.498996 | − | 0.864287i | −0.501003 | − | 0.865446i | \(-0.667035\pi\) |
0.999999 | + | 0.00115839i | \(0.000368727\pi\) | |||||||
\(198\) | −4.39336 | − | 19.8425i | −0.312222 | − | 1.41014i | ||||
\(199\) | −8.97113 | + | 5.17949i | −0.635947 | + | 0.367164i | −0.783051 | − | 0.621957i | \(-0.786338\pi\) |
0.147105 | + | 0.989121i | \(0.453005\pi\) | |||||||
\(200\) | −1.82053 | − | 0.821783i | −0.128731 | − | 0.0581089i | ||||
\(201\) | 0.942403 | − | 8.43448i | 0.0664720 | − | 0.594922i | ||||
\(202\) | −5.18818 | − | 19.0494i | −0.365039 | − | 1.34031i | ||||
\(203\) | 4.42526 | − | 0.780293i | 0.310592 | − | 0.0547658i | ||||
\(204\) | −2.83628 | + | 0.203066i | −0.198579 | + | 0.0142174i | ||||
\(205\) | 6.49754 | − | 7.74346i | 0.453808 | − | 0.540827i | ||||
\(206\) | −17.7189 | + | 12.5156i | −1.23453 | + | 0.872005i | ||||
\(207\) | 8.53027 | + | 11.2181i | 0.592895 | + | 0.779715i | ||||
\(208\) | 2.21466 | + | 0.353107i | 0.153559 | + | 0.0244836i | ||||
\(209\) | 9.91139 | + | 27.2313i | 0.685585 | + | 1.88363i | ||||
\(210\) | 6.06226 | − | 4.88463i | 0.418336 | − | 0.337071i | ||||
\(211\) | 5.48774 | − | 4.60476i | 0.377792 | − | 0.317005i | −0.434043 | − | 0.900892i | \(-0.642913\pi\) |
0.811835 | + | 0.583887i | \(0.198469\pi\) | |||||||
\(212\) | 1.06744 | + | 0.179193i | 0.0733118 | + | 0.0123070i | ||||
\(213\) | −1.79924 | − | 7.42318i | −0.123282 | − | 0.508628i | ||||
\(214\) | 23.8900 | + | 1.99130i | 1.63309 | + | 0.136123i | ||||
\(215\) | −7.44936 | −0.508042 | ||||||||
\(216\) | 13.1437 | − | 6.57603i | 0.894313 | − | 0.447442i | ||||
\(217\) | 14.4464 | 0.980683 | ||||||||
\(218\) | −12.1419 | − | 1.01206i | −0.822353 | − | 0.0685455i | ||||
\(219\) | −0.514684 | + | 0.490549i | −0.0347791 | + | 0.0331482i | ||||
\(220\) | −3.78877 | + | 22.5694i | −0.255439 | + | 1.52163i | ||||
\(221\) | 0.352551 | − | 0.295825i | 0.0237151 | − | 0.0198994i | ||||
\(222\) | −3.15914 | − | 20.2666i | −0.212028 | − | 1.36021i | ||||
\(223\) | −3.21157 | − | 8.82372i | −0.215063 | − | 0.590880i | 0.784510 | − | 0.620116i | \(-0.212915\pi\) |
−0.999573 | + | 0.0292366i | \(0.990692\pi\) | |||||||
\(224\) | −7.50987 | − | 0.501936i | −0.501775 | − | 0.0335370i | ||||
\(225\) | 1.43811 | − | 1.55570i | 0.0958742 | − | 0.103714i | ||||
\(226\) | −6.00227 | + | 4.23967i | −0.399265 | + | 0.282018i | ||||
\(227\) | 9.60066 | − | 11.4416i | 0.637218 | − | 0.759407i | −0.346710 | − | 0.937972i | \(-0.612701\pi\) |
0.983928 | + | 0.178566i | \(0.0571456\pi\) | |||||||
\(228\) | −17.3544 | + | 11.7476i | −1.14932 | + | 0.778006i | ||||
\(229\) | −9.18182 | + | 1.61900i | −0.606752 | + | 0.106987i | −0.468579 | − | 0.883421i | \(-0.655234\pi\) |
−0.138173 | + | 0.990408i | \(0.544123\pi\) | |||||||
\(230\) | −4.17030 | − | 15.3120i | −0.274981 | − | 1.00964i | ||||
\(231\) | −8.88821 | − | 6.54705i | −0.584801 | − | 0.430764i | ||||
\(232\) | −8.70637 | − | 3.93003i | −0.571601 | − | 0.258019i | ||||
\(233\) | 13.7940 | − | 7.96400i | 0.903678 | − | 0.521739i | 0.0252864 | − | 0.999680i | \(-0.491950\pi\) |
0.878392 | + | 0.477941i | \(0.158617\pi\) | |||||||
\(234\) | −1.09892 | + | 2.10962i | −0.0718386 | + | 0.137910i | ||||
\(235\) | −13.6039 | + | 23.5626i | −0.887421 | + | 1.53706i | ||||
\(236\) | −6.38087 | − | 10.8453i | −0.415359 | − | 0.705972i | ||||
\(237\) | −7.18527 | − | 3.56295i | −0.466734 | − | 0.231438i | ||||
\(238\) | −1.08769 | + | 1.09666i | −0.0705043 | + | 0.0710856i | ||||
\(239\) | 16.3896 | + | 5.96534i | 1.06016 | + | 0.385866i | 0.812487 | − | 0.582979i | \(-0.198113\pi\) |
0.247670 | + | 0.968845i | \(0.420335\pi\) | |||||||
\(240\) | −16.4973 | + | 1.31739i | −1.06490 | + | 0.0850369i | ||||
\(241\) | −4.67757 | + | 26.5278i | −0.301309 | + | 1.70881i | 0.339082 | + | 0.940757i | \(0.389884\pi\) |
−0.640391 | + | 0.768049i | \(0.721228\pi\) | |||||||
\(242\) | 16.8235 | − | 1.54149i | 1.08145 | − | 0.0990907i | ||||
\(243\) | 2.20271 | + | 15.4320i | 0.141304 | + | 0.989966i | ||||
\(244\) | −3.20997 | − | 17.3694i | −0.205497 | − | 1.11196i | ||||
\(245\) | −2.16930 | + | 12.3027i | −0.138591 | + | 0.785990i | ||||
\(246\) | 2.00267 | − | 10.1700i | 0.127686 | − | 0.648418i | ||||
\(247\) | 1.16006 | − | 3.18725i | 0.0738131 | − | 0.202800i | ||||
\(248\) | −25.3711 | − | 17.3033i | −1.61107 | − | 1.09876i | ||||
\(249\) | −14.6818 | − | 7.28024i | −0.930421 | − | 0.461366i | ||||
\(250\) | 13.1211 | − | 6.18419i | 0.829852 | − | 0.391122i | ||||
\(251\) | 11.6387 | + | 6.71960i | 0.734628 | + | 0.424138i | 0.820113 | − | 0.572202i | \(-0.193911\pi\) |
−0.0854849 | + | 0.996339i | \(0.527244\pi\) | |||||||
\(252\) | 3.02672 | − | 7.38718i | 0.190665 | − | 0.465348i | ||||
\(253\) | −19.4879 | + | 11.2513i | −1.22519 | + | 0.707364i | ||||
\(254\) | 3.72790 | − | 5.37080i | 0.233910 | − | 0.336994i | ||||
\(255\) | −2.01424 | + | 2.73451i | −0.126136 | + | 0.171241i | ||||
\(256\) | 12.5879 | + | 9.87654i | 0.786741 | + | 0.617284i | ||||
\(257\) | 27.3502 | − | 4.82258i | 1.70606 | − | 0.300824i | 0.766254 | − | 0.642537i | \(-0.222118\pi\) |
0.939804 | + | 0.341713i | \(0.111007\pi\) | |||||||
\(258\) | −6.69003 | + | 3.68699i | −0.416503 | + | 0.229542i | ||||
\(259\) | −8.53491 | − | 7.16164i | −0.530333 | − | 0.445002i | ||||
\(260\) | 2.03769 | − | 1.73854i | 0.126372 | − | 0.107820i | ||||
\(261\) | 6.87751 | − | 7.43987i | 0.425707 | − | 0.460516i | ||||
\(262\) | 14.7787 | + | 6.81770i | 0.913033 | + | 0.421199i | ||||
\(263\) | 2.74946 | − | 1.00072i | 0.169539 | − | 0.0617071i | −0.255856 | − | 0.966715i | \(-0.582357\pi\) |
0.425395 | + | 0.905008i | \(0.360135\pi\) | |||||||
\(264\) | 7.76792 | + | 22.1440i | 0.478083 | + | 1.36287i | ||||
\(265\) | 0.990316 | − | 0.830974i | 0.0608347 | − | 0.0510463i | ||||
\(266\) | −2.90107 | + | 11.0075i | −0.177876 | + | 0.674914i | ||||
\(267\) | −11.9701 | − | 12.5590i | −0.732559 | − | 0.768600i | ||||
\(268\) | 0.0804718 | + | 9.79957i | 0.00491560 | + | 0.598604i | ||||
\(269\) | 19.3788 | 1.18155 | 0.590773 | − | 0.806838i | \(-0.298823\pi\) | ||||
0.590773 | + | 0.806838i | \(0.298823\pi\) | |||||||
\(270\) | 4.21416 | − | 17.0404i | 0.256466 | − | 1.03705i | ||||
\(271\) | − | 25.2492i | − | 1.53378i | −0.641779 | − | 0.766890i | \(-0.721803\pi\) | ||
0.641779 | − | 0.766890i | \(-0.278197\pi\) | |||||||
\(272\) | 3.22376 | − | 0.623189i | 0.195469 | − | 0.0377864i | ||||
\(273\) | 0.304360 | + | 1.25571i | 0.0184207 | + | 0.0759990i | ||||
\(274\) | 3.04108 | − | 11.5388i | 0.183718 | − | 0.697082i | ||||
\(275\) | 2.17442 | + | 2.59137i | 0.131122 | + | 0.156265i | ||||
\(276\) | −11.3237 | − | 11.6872i | −0.681608 | − | 0.703484i | ||||
\(277\) | −8.11046 | − | 22.2833i | −0.487310 | − | 1.33887i | −0.903107 | − | 0.429416i | \(-0.858719\pi\) |
0.415796 | − | 0.909458i | \(-0.363503\pi\) | |||||||
\(278\) | 1.98729 | − | 4.30784i | 0.119190 | − | 0.258367i | ||||
\(279\) | 25.9282 | − | 19.7158i | 1.55228 | − | 1.18035i | ||||
\(280\) | −6.27788 | + | 6.43447i | −0.375175 | + | 0.384533i | ||||
\(281\) | 8.55970 | − | 10.2011i | 0.510629 | − | 0.608544i | −0.447709 | − | 0.894179i | \(-0.647760\pi\) |
0.958338 | + | 0.285635i | \(0.0922046\pi\) | |||||||
\(282\) | −0.555119 | + | 27.8939i | −0.0330569 | + | 1.66106i | ||||
\(283\) | −2.09329 | − | 11.8716i | −0.124433 | − | 0.705696i | −0.981643 | − | 0.190728i | \(-0.938915\pi\) |
0.857210 | − | 0.514968i | \(-0.172196\pi\) | |||||||
\(284\) | 3.08448 | + | 8.26279i | 0.183030 | + | 0.490306i | ||||
\(285\) | −2.77939 | + | 24.8754i | −0.164637 | + | 1.47349i | ||||
\(286\) | −3.12014 | − | 2.16571i | −0.184497 | − | 0.128061i | ||||
\(287\) | −2.81516 | − | 4.87601i | −0.166174 | − | 0.287822i | ||||
\(288\) | −14.1637 | + | 9.34828i | −0.834602 | + | 0.550853i | ||||
\(289\) | −8.16309 | + | 14.1389i | −0.480182 | + | 0.831700i | ||||
\(290\) | −10.3202 | + | 4.86409i | −0.606025 | + | 0.285629i | ||||
\(291\) | −8.48072 | − | 12.7526i | −0.497149 | − | 0.747571i | ||||
\(292\) | 0.522550 | − | 0.633239i | 0.0305799 | − | 0.0370575i | ||||
\(293\) | −6.00209 | − | 2.18458i | −0.350646 | − | 0.127625i | 0.160692 | − | 0.987005i | \(-0.448628\pi\) |
−0.511338 | + | 0.859380i | \(0.670850\pi\) | |||||||
\(294\) | 4.14092 | + | 12.1223i | 0.241503 | + | 0.706987i | ||||
\(295\) | −14.8008 | − | 2.60978i | −0.861737 | − | 0.151948i | ||||
\(296\) | 6.41132 | + | 22.8002i | 0.372650 | + | 1.32524i | ||||
\(297\) | −24.8876 | + | 0.379659i | −1.44413 | + | 0.0220301i | ||||
\(298\) | 24.0658 | − | 2.20509i | 1.39409 | − | 0.127737i | ||||
\(299\) | 2.59378 | + | 0.457353i | 0.150002 | + | 0.0264494i | ||||
\(300\) | −1.43463 | + | 1.98150i | −0.0828281 | + | 0.114402i | ||||
\(301\) | −1.41913 | + | 3.89904i | −0.0817975 | + | 0.224737i | ||||
\(302\) | −3.71869 | − | 3.68827i | −0.213986 | − | 0.212236i | ||||
\(303\) | −24.1321 | + | 1.52869i | −1.38635 | + | 0.0878208i | ||||
\(304\) | 18.2793 | − | 15.8569i | 1.04839 | − | 0.909456i | ||||
\(305\) | −18.2705 | − | 10.5485i | −1.04616 | − | 0.604003i | ||||
\(306\) | −0.455502 | + | 3.45270i | −0.0260393 | + | 0.197377i | ||||
\(307\) | 7.56813 | + | 13.1084i | 0.431936 | + | 0.748136i | 0.997040 | − | 0.0768843i | \(-0.0244972\pi\) |
−0.565104 | + | 0.825020i | \(0.691164\pi\) | |||||||
\(308\) | 11.0912 | + | 6.28263i | 0.631978 | + | 0.357986i | ||||
\(309\) | 10.6473 | + | 24.3421i | 0.605702 | + | 1.38477i | ||||
\(310\) | −35.3902 | + | 9.63869i | −2.01003 | + | 0.547441i | ||||
\(311\) | 1.04978 | + | 5.95361i | 0.0595277 | + | 0.337598i | 0.999997 | − | 0.00227916i | \(-0.000725481\pi\) |
−0.940470 | + | 0.339878i | \(0.889614\pi\) | |||||||
\(312\) | 0.969512 | − | 2.56986i | 0.0548878 | − | 0.145490i | ||||
\(313\) | 8.82704 | + | 7.40677i | 0.498934 | + | 0.418655i | 0.857215 | − | 0.514958i | \(-0.172193\pi\) |
−0.358281 | + | 0.933614i | \(0.616637\pi\) | |||||||
\(314\) | 8.90322 | − | 6.28873i | 0.502438 | − | 0.354894i | ||||
\(315\) | −4.36572 | − | 8.47682i | −0.245980 | − | 0.477615i | ||||
\(316\) | 8.72808 | + | 3.09584i | 0.490993 | + | 0.174154i | ||||
\(317\) | −11.9885 | + | 4.36344i | −0.673339 | + | 0.245075i | −0.655985 | − | 0.754774i | \(-0.727746\pi\) |
−0.0173540 | + | 0.999849i | \(0.505524\pi\) | |||||||
\(318\) | 0.478088 | − | 1.23642i | 0.0268098 | − | 0.0693348i | ||||
\(319\) | 10.3987 | + | 12.3927i | 0.582218 | + | 0.693861i | ||||
\(320\) | 18.7323 | − | 3.78100i | 1.04717 | − | 0.211364i | ||||
\(321\) | 8.27760 | − | 28.1696i | 0.462011 | − | 1.57228i | ||||
\(322\) | −8.80884 | − | 0.734243i | −0.490898 | − | 0.0409177i | ||||
\(323\) | − | 4.96592i | − | 0.276311i | ||||||
\(324\) | −4.64937 | − | 17.3892i | −0.258298 | − | 0.966065i | ||||
\(325\) | − | 0.395934i | − | 0.0219625i | ||||||
\(326\) | −2.36684 | + | 28.3954i | −0.131087 | + | 1.57268i | ||||
\(327\) | −4.20702 | + | 14.3170i | −0.232649 | + | 0.791731i | ||||
\(328\) | −0.896216 | + | 11.9353i | −0.0494853 | + | 0.659015i | ||||
\(329\) | 9.74122 | + | 11.6091i | 0.537051 | + | 0.640032i | ||||
\(330\) | 26.1423 | + | 10.1085i | 1.43908 | + | 0.556454i | ||||
\(331\) | −8.23367 | + | 2.99681i | −0.452563 | + | 0.164720i | −0.558237 | − | 0.829681i | \(-0.688522\pi\) |
0.105674 | + | 0.994401i | \(0.466300\pi\) | |||||||
\(332\) | 17.8343 | + | 6.32578i | 0.978782 | + | 0.347172i | ||||
\(333\) | −25.0923 | − | 1.20557i | −1.37505 | − | 0.0660647i | ||||
\(334\) | −12.4833 | − | 17.6730i | −0.683053 | − | 0.967026i | ||||
\(335\) | 8.96642 | + | 7.52372i | 0.489888 | + | 0.411065i | ||||
\(336\) | −2.45328 | + | 8.88576i | −0.133837 | + | 0.484758i | ||||
\(337\) | 2.10804 | + | 11.9553i | 0.114832 | + | 0.651245i | 0.986833 | + | 0.161741i | \(0.0517110\pi\) |
−0.872001 | + | 0.489504i | \(0.837178\pi\) | |||||||
\(338\) | −4.71438 | − | 17.3097i | −0.256429 | − | 0.941525i | ||||
\(339\) | 3.60676 | + | 8.24587i | 0.195892 | + | 0.447854i | ||||
\(340\) | 1.93289 | − | 3.41226i | 0.104825 | − | 0.185056i | ||||
\(341\) | 26.0049 | + | 45.0418i | 1.40824 | + | 2.43915i | ||||
\(342\) | 9.81577 | + | 23.7154i | 0.530776 | + | 1.28238i | ||||
\(343\) | 14.0920 | + | 8.13600i | 0.760894 | + | 0.439303i | ||||
\(344\) | 7.16243 | − | 5.14782i | 0.386172 | − | 0.277552i | ||||
\(345\) | −19.3975 | + | 1.22877i | −1.04433 | + | 0.0661547i | ||||
\(346\) | −6.12082 | + | 6.17129i | −0.329057 | + | 0.331771i | ||||
\(347\) | −3.14976 | + | 8.65389i | −0.169088 | + | 0.464565i | −0.995075 | − | 0.0991236i | \(-0.968396\pi\) |
0.825987 | + | 0.563689i | \(0.190618\pi\) | |||||||
\(348\) | −6.86083 | + | 9.47618i | −0.367779 | + | 0.507976i | ||||
\(349\) | 13.3909 | + | 2.36117i | 0.716798 | + | 0.126391i | 0.520139 | − | 0.854081i | \(-0.325880\pi\) |
0.196658 | + | 0.980472i | \(0.436991\pi\) | |||||||
\(350\) | 0.121248 | + | 1.32327i | 0.00648097 | + | 0.0707318i | ||||
\(351\) | 2.26000 | + | 1.83836i | 0.120630 | + | 0.0981242i | ||||
\(352\) | −11.9535 | − | 24.3183i | −0.637126 | − | 1.29617i | ||||
\(353\) | −21.6804 | − | 3.82285i | −1.15393 | − | 0.203470i | −0.436241 | − | 0.899830i | \(-0.643690\pi\) |
−0.717692 | + | 0.696360i | \(0.754802\pi\) | |||||||
\(354\) | −14.5838 | + | 4.98175i | −0.775121 | + | 0.264777i | ||||
\(355\) | 9.89885 | + | 3.60289i | 0.525376 | + | 0.191221i | ||||
\(356\) | 15.4519 | + | 12.7510i | 0.818952 | + | 0.675800i | ||||
\(357\) | 1.04754 | + | 1.57520i | 0.0554415 | + | 0.0833682i | ||||
\(358\) | −10.5001 | − | 22.2783i | −0.554948 | − | 1.17744i | ||||
\(359\) | −3.83216 | + | 6.63749i | −0.202253 | + | 0.350313i | −0.949254 | − | 0.314510i | \(-0.898160\pi\) |
0.747001 | + | 0.664823i | \(0.231493\pi\) | |||||||
\(360\) | −2.48599 | + | 20.1163i | −0.131023 | + | 1.06022i | ||||
\(361\) | −8.79919 | − | 15.2407i | −0.463115 | − | 0.802140i | ||||
\(362\) | −19.2472 | + | 27.7294i | −1.01161 | + | 1.45743i | ||||
\(363\) | 2.29753 | − | 20.5628i | 0.120589 | − | 1.07927i | ||||
\(364\) | −0.521773 | − | 1.39774i | −0.0273483 | − | 0.0732614i | ||||
\(365\) | −0.170278 | − | 0.965697i | −0.00891278 | − | 0.0505469i | ||||
\(366\) | −21.6290 | − | 0.430440i | −1.13056 | − | 0.0224994i | ||||
\(367\) | −19.4285 | + | 23.1540i | −1.01416 | + | 1.20863i | −0.0363077 | + | 0.999341i | \(0.511560\pi\) |
−0.977854 | + | 0.209290i | \(0.932885\pi\) | |||||||
\(368\) | 14.5909 | + | 11.8404i | 0.760603 | + | 0.617222i | ||||
\(369\) | −11.7072 | − | 4.90940i | −0.609452 | − | 0.255573i | ||||
\(370\) | 25.6868 | + | 11.8498i | 1.33539 | + | 0.616042i | ||||
\(371\) | −0.246277 | − | 0.676641i | −0.0127861 | − | 0.0351294i | ||||
\(372\) | −27.0122 | + | 26.1722i | −1.40052 | + | 1.35697i | ||||
\(373\) | −24.0563 | − | 28.6692i | −1.24559 | − | 1.48444i | −0.812365 | − | 0.583149i | \(-0.801820\pi\) |
−0.433224 | − | 0.901286i | \(-0.642624\pi\) | |||||||
\(374\) | −5.37716 | − | 1.41717i | −0.278046 | − | 0.0732801i | ||||
\(375\) | −4.18484 | − | 17.2655i | −0.216104 | − | 0.891588i | ||||
\(376\) | −3.20285 | − | 32.0559i | −0.165174 | − | 1.65316i | ||||
\(377\) | − | 1.89348i | − | 0.0975192i | ||||||
\(378\) | −8.11622 | − | 5.45198i | −0.417453 | − | 0.280420i | ||||
\(379\) | −16.6417 | −0.854828 | −0.427414 | − | 0.904056i | \(-0.640575\pi\) | ||||
−0.427414 | + | 0.904056i | \(0.640575\pi\) | |||||||
\(380\) | −0.237332 | − | 28.9014i | −0.0121749 | − | 1.48261i | ||||
\(381\) | −5.52437 | − | 5.79616i | −0.283022 | − | 0.296946i | ||||
\(382\) | 5.91818 | + | 1.55976i | 0.302800 | + | 0.0798041i | ||||
\(383\) | 17.0762 | − | 14.3286i | 0.872552 | − | 0.732158i | −0.0920820 | − | 0.995751i | \(-0.529352\pi\) |
0.964634 | + | 0.263594i | \(0.0849078\pi\) | |||||||
\(384\) | 14.9515 | − | 12.6670i | 0.762991 | − | 0.646409i | ||||
\(385\) | 14.3066 | − | 5.20718i | 0.729132 | − | 0.265382i | ||||
\(386\) | −1.35404 | + | 2.93515i | −0.0689188 | + | 0.149395i | ||||
\(387\) | 2.77419 | + | 8.93473i | 0.141020 | + | 0.454178i | ||||
\(388\) | 11.4781 | + | 13.4532i | 0.582713 | + | 0.682982i | ||||
\(389\) | −19.8343 | − | 16.6429i | −1.00564 | − | 0.843830i | −0.0178816 | − | 0.999840i | \(-0.505692\pi\) |
−0.987755 | + | 0.156010i | \(0.950137\pi\) | |||||||
\(390\) | −1.58343 | − | 2.87312i | −0.0801799 | − | 0.145486i | ||||
\(391\) | 3.79754 | − | 0.669608i | 0.192050 | − | 0.0338636i | ||||
\(392\) | −6.41592 | − | 13.3279i | −0.324053 | − | 0.673160i | ||||
\(393\) | 11.8219 | − | 16.0493i | 0.596337 | − | 0.809581i | ||||
\(394\) | 16.2736 | + | 11.2956i | 0.819851 | + | 0.569064i | ||||
\(395\) | 9.57912 | − | 5.53051i | 0.481978 | − | 0.278270i | ||||
\(396\) | 28.4806 | − | 3.86075i | 1.43120 | − | 0.194010i | ||||
\(397\) | −3.38256 | − | 1.95292i | −0.169766 | − | 0.0980145i | 0.412709 | − | 0.910863i | \(-0.364582\pi\) |
−0.582476 | + | 0.812848i | \(0.697916\pi\) | |||||||
\(398\) | −6.24573 | − | 13.2517i | −0.313070 | − | 0.664247i | ||||
\(399\) | 12.4905 | + | 6.19362i | 0.625305 | + | 0.310069i | ||||
\(400\) | 1.37202 | − | 2.46919i | 0.0686011 | − | 0.123460i | ||||
\(401\) | −5.64844 | + | 15.5190i | −0.282070 | + | 0.774980i | 0.715046 | + | 0.699078i | \(0.246406\pi\) |
−0.997115 | + | 0.0759022i | \(0.975816\pi\) | |||||||
\(402\) | 11.7762 | + | 2.31896i | 0.587345 | + | 0.115659i | ||||
\(403\) | 1.05707 | − | 5.99492i | 0.0526562 | − | 0.298628i | ||||
\(404\) | 27.4562 | − | 5.07408i | 1.36600 | − | 0.252445i | ||||
\(405\) | −19.4043 | − | 9.25597i | −0.964210 | − | 0.459933i | ||||
\(406\) | 0.579845 | + | 6.32830i | 0.0287772 | + | 0.314068i | ||||
\(407\) | 6.96532 | − | 39.5023i | 0.345258 | − | 1.95806i | ||||
\(408\) | 0.0469962 | − | 4.02110i | 0.00232666 | − | 0.199074i | ||||
\(409\) | −27.3270 | − | 9.94621i | −1.35123 | − | 0.491808i | −0.437900 | − | 0.899024i | \(-0.644278\pi\) |
−0.913332 | + | 0.407215i | \(0.866500\pi\) | |||||||
\(410\) | 10.1498 | + | 10.0668i | 0.501262 | + | 0.497163i | ||||
\(411\) | −13.0933 | − | 6.49253i | −0.645843 | − | 0.320253i | ||||
\(412\) | −15.5571 | − | 26.4419i | −0.766445 | − | 1.30270i | ||||
\(413\) | −4.18559 | + | 7.24966i | −0.205959 | + | 0.356732i | ||||
\(414\) | −16.8121 | + | 10.7041i | −0.826269 | + | 0.526079i | ||||
\(415\) | 19.5732 | − | 11.3006i | 0.960810 | − | 0.554724i | ||||
\(416\) | −0.757803 | + | 3.07970i | −0.0371544 | + | 0.150995i | ||||
\(417\) | −4.67820 | − | 3.44596i | −0.229093 | − | 0.168749i | ||||
\(418\) | −39.5421 | + | 10.7695i | −1.93407 | + | 0.526752i | ||||
\(419\) | −2.77065 | + | 0.488540i | −0.135355 | + | 0.0238667i | −0.240915 | − | 0.970546i | \(-0.577448\pi\) |
0.105560 | + | 0.994413i | \(0.466336\pi\) | |||||||
\(420\) | 6.17189 | + | 9.11751i | 0.301158 | + | 0.444889i | ||||
\(421\) | 13.5423 | − | 16.1391i | 0.660013 | − | 0.786573i | −0.327375 | − | 0.944895i | \(-0.606164\pi\) |
0.987388 | + | 0.158322i | \(0.0506084\pi\) | |||||||
\(422\) | 5.84496 | + | 8.27495i | 0.284528 | + | 0.402818i | ||||
\(423\) | 33.3271 | + | 7.54157i | 1.62042 | + | 0.366684i | ||||
\(424\) | −0.377934 | + | 1.48332i | −0.0183541 | + | 0.0720362i | ||||
\(425\) | −0.198264 | − | 0.544726i | −0.00961722 | − | 0.0264231i | ||||
\(426\) | 10.6730 | − | 1.66370i | 0.517110 | − | 0.0806066i | ||||
\(427\) | −9.00172 | + | 7.55334i | −0.435624 | + | 0.365532i | ||||
\(428\) | −5.61279 | + | 33.4349i | −0.271304 | + | 1.61614i | ||||
\(429\) | −3.36725 | + | 3.20935i | −0.162572 | + | 0.154949i | ||||
\(430\) | 0.875088 | − | 10.4986i | 0.0422005 | − | 0.506287i | ||||
\(431\) | −29.2337 | −1.40814 | −0.704070 | − | 0.710131i | \(-0.748636\pi\) | ||||
−0.704070 | + | 0.710131i | \(0.748636\pi\) | |||||||
\(432\) | 7.72377 | + | 19.2962i | 0.371610 | + | 0.928389i | ||||
\(433\) | −3.83819 | −0.184451 | −0.0922257 | − | 0.995738i | \(-0.529398\pi\) | ||||
−0.0922257 | + | 0.995738i | \(0.529398\pi\) | |||||||
\(434\) | −1.69704 | + | 20.3596i | −0.0814603 | + | 0.977294i | ||||
\(435\) | 3.29153 | + | 13.5800i | 0.157817 | + | 0.651110i | ||||
\(436\) | 2.85265 | − | 16.9930i | 0.136617 | − | 0.813817i | ||||
\(437\) | 21.7704 | − | 18.2675i | 1.04142 | − | 0.873855i | ||||
\(438\) | −0.630883 | − | 0.782983i | −0.0301448 | − | 0.0374124i | ||||
\(439\) | 1.73144 | + | 4.75709i | 0.0826370 | + | 0.227043i | 0.974129 | − | 0.225993i | \(-0.0725628\pi\) |
−0.891492 | + | 0.453037i | \(0.850341\pi\) | |||||||
\(440\) | −31.3626 | − | 7.99088i | −1.49515 | − | 0.380950i | ||||
\(441\) | 15.5636 | − | 1.97976i | 0.741126 | − | 0.0942741i | ||||
\(442\) | 0.375500 | + | 0.531610i | 0.0178607 | + | 0.0252861i | ||||
\(443\) | 17.8169 | − | 21.2333i | 0.846506 | − | 1.00883i | −0.153281 | − | 0.988183i | \(-0.548984\pi\) |
0.999787 | − | 0.0206439i | \(-0.00657164\pi\) | |||||||
\(444\) | 28.9334 | − | 2.07151i | 1.37312 | − | 0.0983095i | ||||
\(445\) | 23.5644 | − | 4.15504i | 1.11706 | − | 0.196968i | ||||
\(446\) | 12.8128 | − | 3.48961i | 0.606702 | − | 0.165238i | ||||
\(447\) | 3.28659 | − | 29.4149i | 0.155450 | − | 1.39128i | ||||
\(448\) | 1.58959 | − | 10.5249i | 0.0751009 | − | 0.497255i | ||||
\(449\) | −7.77540 | + | 4.48913i | −0.366944 | + | 0.211855i | −0.672122 | − | 0.740440i | \(-0.734617\pi\) |
0.305179 | + | 0.952295i | \(0.401284\pi\) | |||||||
\(450\) | 2.02356 | + | 2.20952i | 0.0953914 | + | 0.104158i | ||||
\(451\) | 10.1351 | − | 17.5546i | 0.477245 | − | 0.826613i | ||||
\(452\) | −5.26998 | − | 8.95719i | −0.247879 | − | 0.421311i | ||||
\(453\) | −5.34139 | + | 3.55212i | −0.250960 | + | 0.166893i | ||||
\(454\) | 14.9972 | + | 14.8745i | 0.703852 | + | 0.698096i | ||||
\(455\) | −1.67449 | − | 0.609466i | −0.0785015 | − | 0.0285722i | ||||
\(456\) | −14.5176 | − | 25.8380i | −0.679850 | − | 1.20997i | ||||
\(457\) | 3.37381 | − | 19.1338i | 0.157820 | − | 0.895042i | −0.798342 | − | 0.602204i | \(-0.794289\pi\) |
0.956162 | − | 0.292838i | \(-0.0945996\pi\) | |||||||
\(458\) | −1.20310 | − | 13.1304i | −0.0562172 | − | 0.613542i | ||||
\(459\) | 4.02987 | + | 1.39752i | 0.188098 | + | 0.0652305i | ||||
\(460\) | 22.0695 | − | 4.07858i | 1.02900 | − | 0.190165i | ||||
\(461\) | −3.92114 | + | 22.2379i | −0.182626 | + | 1.03572i | 0.746343 | + | 0.665562i | \(0.231808\pi\) |
−0.928968 | + | 0.370159i | \(0.879303\pi\) | |||||||
\(462\) | 10.2710 | − | 11.7573i | 0.477852 | − | 0.546999i | ||||
\(463\) | −2.63844 | + | 7.24905i | −0.122619 | + | 0.336892i | −0.985781 | − | 0.168034i | \(-0.946258\pi\) |
0.863163 | + | 0.504926i | \(0.168480\pi\) | |||||||
\(464\) | 6.56144 | − | 11.8084i | 0.304607 | − | 0.548193i | ||||
\(465\) | 2.84002 | + | 44.8329i | 0.131703 | + | 2.07908i | ||||
\(466\) | 9.60346 | + | 20.3759i | 0.444872 | + | 0.943893i | ||||
\(467\) | −5.54719 | − | 3.20267i | −0.256694 | − | 0.148202i | 0.366132 | − | 0.930563i | \(-0.380682\pi\) |
−0.622825 | + | 0.782361i | \(0.714015\pi\) | |||||||
\(468\) | −2.84405 | − | 1.79656i | −0.131466 | − | 0.0830458i | ||||
\(469\) | 5.64609 | − | 3.25977i | 0.260712 | − | 0.150522i | ||||
\(470\) | −31.6094 | − | 21.9403i | −1.45803 | − | 1.01203i | ||||
\(471\) | −5.34993 | − | 12.2312i | −0.246512 | − | 0.563582i | ||||
\(472\) | 16.0342 | − | 7.71871i | 0.738034 | − | 0.355283i | ||||
\(473\) | −14.7112 | + | 2.59399i | −0.676423 | + | 0.119272i | ||||
\(474\) | 5.86542 | − | 9.70785i | 0.269408 | − | 0.445896i | ||||
\(475\) | −3.27272 | − | 2.74614i | −0.150163 | − | 0.126001i | ||||
\(476\) | −1.41777 | − | 1.66173i | −0.0649835 | − | 0.0761653i | ||||
\(477\) | −1.36547 | − | 0.878320i | −0.0625204 | − | 0.0402155i | ||||
\(478\) | −10.3324 | + | 22.3976i | −0.472594 | + | 1.02444i | ||||
\(479\) | −21.6559 | + | 7.88212i | −0.989485 | + | 0.360143i | −0.785521 | − | 0.618835i | \(-0.787605\pi\) |
−0.203964 | + | 0.978978i | \(0.565383\pi\) | |||||||
\(480\) | 0.0813390 | − | 23.4049i | 0.00371260 | − | 1.06828i | ||||
\(481\) | −3.59644 | + | 3.01777i | −0.163983 | + | 0.137598i | ||||
\(482\) | −36.8368 | − | 9.70848i | −1.67787 | − | 0.442209i | ||||
\(483\) | −3.05216 | + | 10.3868i | −0.138878 | + | 0.472618i | ||||
\(484\) | 0.196186 | + | 23.8908i | 0.00891753 | + | 1.08595i | ||||
\(485\) | 21.1218 | 0.959093 | ||||||||
\(486\) | −22.0075 | + | 1.29151i | −0.998282 | + | 0.0585840i | ||||
\(487\) | − | 13.8956i | − | 0.629672i | −0.949146 | − | 0.314836i | \(-0.898051\pi\) | ||
0.949146 | − | 0.314836i | \(-0.101949\pi\) | |||||||
\(488\) | 24.8562 | − | 2.48349i | 1.12519 | − | 0.112422i | ||||
\(489\) | 33.4822 | + | 9.83868i | 1.51412 | + | 0.444920i | ||||
\(490\) | −17.0837 | − | 4.50246i | −0.771762 | − | 0.203400i | ||||
\(491\) | −8.62398 | − | 10.2777i | −0.389195 | − | 0.463824i | 0.535499 | − | 0.844536i | \(-0.320124\pi\) |
−0.924694 | + | 0.380711i | \(0.875679\pi\) | |||||||
\(492\) | 14.0976 | + | 4.01711i | 0.635571 | + | 0.181105i | ||||
\(493\) | −0.948162 | − | 2.60505i | −0.0427031 | − | 0.117326i | ||||
\(494\) | 4.35560 | + | 2.00932i | 0.195968 | + | 0.0904035i | ||||
\(495\) | 18.5708 | − | 28.8708i | 0.834696 | − | 1.29765i | ||||
\(496\) | 27.3663 | − | 33.7235i | 1.22878 | − | 1.51423i | ||||
\(497\) | 3.77154 | − | 4.49474i | 0.169177 | − | 0.201617i | ||||
\(498\) | 11.9849 | − | 19.8362i | 0.537057 | − | 0.888883i | ||||
\(499\) | 4.93870 | + | 28.0088i | 0.221087 | + | 1.25384i | 0.870027 | + | 0.493005i | \(0.164102\pi\) |
−0.648940 | + | 0.760840i | \(0.724787\pi\) | |||||||
\(500\) | 7.17418 | + | 19.2184i | 0.320839 | + | 0.859472i | ||||
\(501\) | −24.2791 | + | 10.6197i | −1.08471 | + | 0.474454i | ||||
\(502\) | −10.8373 | + | 15.6134i | −0.483694 | + | 0.696858i | ||||
\(503\) | −0.398330 | − | 0.689928i | −0.0177607 | − | 0.0307624i | 0.857008 | − | 0.515302i | \(-0.172320\pi\) |
−0.874769 | + | 0.484540i | \(0.838987\pi\) | |||||||
\(504\) | 10.0554 | + | 5.13342i | 0.447903 | + | 0.228661i | ||||
\(505\) | 16.6743 | − | 28.8807i | 0.741995 | − | 1.28517i | ||||
\(506\) | −13.5675 | − | 28.7865i | −0.603150 | − | 1.27971i | ||||
\(507\) | −21.9283 | + | 1.38908i | −0.973868 | + | 0.0616914i | ||||
\(508\) | 7.13128 | + | 5.88475i | 0.316400 | + | 0.261093i | ||||
\(509\) | −1.21052 | − | 0.440593i | −0.0536553 | − | 0.0195289i | 0.315053 | − | 0.949074i | \(-0.397978\pi\) |
−0.368708 | + | 0.929545i | \(0.620200\pi\) | |||||||
\(510\) | −3.61720 | − | 3.15994i | −0.160172 | − | 0.139925i | ||||
\(511\) | −0.537890 | − | 0.0948445i | −0.0237948 | − | 0.00419567i | ||||
\(512\) | −15.3980 | + | 16.5802i | −0.680501 | + | 0.732747i | ||||
\(513\) | 30.8705 | − | 5.93019i | 1.36297 | − | 0.261824i | ||||
\(514\) | 3.58372 | + | 39.1119i | 0.158071 | + | 1.72515i | ||||
\(515\) | −36.0857 | − | 6.36289i | −1.59013 | − | 0.280382i | ||||
\(516\) | −4.41028 | − | 9.86154i | −0.194152 | − | 0.434130i | ||||
\(517\) | −18.6605 | + | 51.2693i | −0.820689 | + | 2.25482i | ||||
\(518\) | 11.0957 | − | 11.1872i | 0.487517 | − | 0.491536i | ||||
\(519\) | 5.89488 | + | 8.86422i | 0.258756 | + | 0.389096i | ||||
\(520\) | 2.21080 | + | 3.07600i | 0.0969500 | + | 0.134892i | ||||
\(521\) | 20.9324 | + | 12.0854i | 0.917067 | + | 0.529469i | 0.882698 | − | 0.469940i | \(-0.155725\pi\) |
0.0343687 | + | 0.999409i | \(0.489058\pi\) | |||||||
\(522\) | 9.67729 | + | 10.5666i | 0.423563 | + | 0.462488i | ||||
\(523\) | −4.01413 | − | 6.95268i | −0.175526 | − | 0.304019i | 0.764817 | − | 0.644247i | \(-0.222829\pi\) |
−0.940343 | + | 0.340228i | \(0.889496\pi\) | |||||||
\(524\) | −11.3444 | + | 20.0272i | −0.495585 | + | 0.874891i | ||||
\(525\) | 1.61739 | + | 0.180715i | 0.0705889 | + | 0.00788705i | ||||
\(526\) | 1.08736 | + | 3.99244i | 0.0474111 | + | 0.174079i | ||||
\(527\) | −1.54765 | − | 8.77715i | −0.0674166 | − | 0.382338i | ||||
\(528\) | −32.1207 | + | 8.34625i | −1.39787 | + | 0.363224i | ||||
\(529\) | −0.713930 | − | 0.599059i | −0.0310404 | − | 0.0260460i | ||||
\(530\) | 1.05478 | + | 1.49329i | 0.0458167 | + | 0.0648646i | ||||
\(531\) | 2.38176 | + | 18.7239i | 0.103359 | + | 0.812549i | ||||
\(532\) | −15.1724 | − | 5.38162i | −0.657806 | − | 0.233323i | ||||
\(533\) | −2.22943 | + | 0.811445i | −0.0965671 | + | 0.0351476i | ||||
\(534\) | 19.1059 | − | 15.3945i | 0.826794 | − | 0.666183i | ||||
\(535\) | 26.0283 | + | 31.0193i | 1.12530 | + | 1.34108i | ||||
\(536\) | −13.8203 | − | 1.03776i | −0.596944 | − | 0.0448244i | ||||
\(537\) | −29.3151 | + | 7.10543i | −1.26504 | + | 0.306622i | ||||
\(538\) | −2.27645 | + | 27.3110i | −0.0981449 | + | 1.17746i | ||||
\(539\) | 25.0511i | 1.07903i | ||||||||
\(540\) | 23.5204 | + | 7.94089i | 1.01216 | + | 0.341722i | ||||
\(541\) | − | 1.64488i | − | 0.0707187i | −0.999375 | − | 0.0353594i | \(-0.988742\pi\) | ||
0.999375 | − | 0.0353594i | \(-0.0112576\pi\) | |||||||
\(542\) | 35.5844 | + | 2.96606i | 1.52848 | + | 0.127403i | ||||
\(543\) | 28.5223 | + | 29.9255i | 1.22401 | + | 1.28423i | ||||
\(544\) | 0.499577 | + | 4.61653i | 0.0214192 | + | 0.197932i | ||||
\(545\) | −13.2287 | − | 15.7653i | −0.566653 | − | 0.675311i | ||||
\(546\) | −1.80546 | + | 0.281433i | −0.0772664 | + | 0.0120442i | ||||
\(547\) | 35.6199 | − | 12.9646i | 1.52300 | − | 0.554325i | 0.561102 | − | 0.827747i | \(-0.310378\pi\) |
0.961894 | + | 0.273422i | \(0.0881555\pi\) | |||||||
\(548\) | 15.9046 | + | 5.64135i | 0.679412 | + | 0.240986i | ||||
\(549\) | −5.84773 | + | 25.8418i | −0.249575 | + | 1.10290i | ||||
\(550\) | −3.90752 | + | 2.76005i | −0.166617 | + | 0.117689i | ||||
\(551\) | −15.6512 | − | 13.1329i | −0.666762 | − | 0.559480i | ||||
\(552\) | 17.8012 | − | 14.5859i | 0.757671 | − | 0.620818i | ||||
\(553\) | −1.06984 | − | 6.06734i | −0.0454941 | − | 0.258010i | ||||
\(554\) | 32.3572 | − | 8.81263i | 1.37473 | − | 0.374413i | ||||
\(555\) | 20.5476 | − | 27.8952i | 0.872196 | − | 1.18408i | ||||
\(556\) | 5.83771 | + | 3.30679i | 0.247574 | + | 0.140239i | ||||
\(557\) | −3.28402 | − | 5.68809i | −0.139148 | − | 0.241012i | 0.788026 | − | 0.615642i | \(-0.211103\pi\) |
−0.927174 | + | 0.374630i | \(0.877770\pi\) | |||||||
\(558\) | 24.7401 | + | 38.8573i | 1.04733 | + | 1.64496i | ||||
\(559\) | 1.51417 | + | 0.874209i | 0.0640427 | + | 0.0369751i | ||||
\(560\) | −8.33080 | − | 9.60345i | −0.352040 | − | 0.405820i | ||||
\(561\) | −3.02558 | + | 6.10158i | −0.127740 | + | 0.257609i | ||||
\(562\) | 13.3711 | + | 13.2617i | 0.564026 | + | 0.559413i | ||||
\(563\) | −3.45245 | + | 9.48552i | −0.145503 | + | 0.399767i | −0.990939 | − | 0.134309i | \(-0.957118\pi\) |
0.845436 | + | 0.534077i | \(0.179341\pi\) | |||||||
\(564\) | −39.2465 | − | 4.05909i | −1.65257 | − | 0.170918i | ||||
\(565\) | −12.2240 | − | 2.15543i | −0.514269 | − | 0.0906795i | ||||
\(566\) | 16.9769 | − | 1.55555i | 0.713593 | − | 0.0653847i | ||||
\(567\) | −8.54123 | + | 8.39304i | −0.358698 | + | 0.352475i | ||||
\(568\) | −12.0073 | + | 3.37640i | −0.503815 | + | 0.141670i | ||||
\(569\) | −21.9875 | − | 3.87699i | −0.921765 | − | 0.162532i | −0.307424 | − | 0.951573i | \(-0.599467\pi\) |
−0.614341 | + | 0.789041i | \(0.710578\pi\) | |||||||
\(570\) | −34.7311 | − | 6.83922i | −1.45473 | − | 0.286463i | ||||
\(571\) | −16.6507 | − | 6.06035i | −0.696809 | − | 0.253618i | −0.0307612 | − | 0.999527i | \(-0.509793\pi\) |
−0.666048 | + | 0.745909i | \(0.732015\pi\) | |||||||
\(572\) | 3.41871 | − | 4.14288i | 0.142944 | − | 0.173223i | ||||
\(573\) | 3.32999 | − | 6.71548i | 0.139112 | − | 0.280543i | ||||
\(574\) | 7.20258 | − | 3.39469i | 0.300630 | − | 0.141692i | ||||
\(575\) | 1.65873 | − | 2.87300i | 0.0691738 | − | 0.119813i | ||||
\(576\) | −11.5110 | − | 21.0594i | −0.479623 | − | 0.877475i | ||||
\(577\) | 5.85438 | + | 10.1401i | 0.243721 | + | 0.422137i | 0.961771 | − | 0.273854i | \(-0.0882986\pi\) |
−0.718050 | + | 0.695991i | \(0.754965\pi\) | |||||||
\(578\) | −18.9674 | − | 13.1654i | −0.788939 | − | 0.547608i | ||||
\(579\) | 3.18749 | + | 2.34791i | 0.132468 | + | 0.0975757i | ||||
\(580\) | −5.64276 | − | 15.1160i | −0.234303 | − | 0.627657i | ||||
\(581\) | −2.18602 | − | 12.3975i | −0.0906913 | − | 0.514336i | ||||
\(582\) | 18.9688 | − | 10.4540i | 0.786283 | − | 0.433334i | ||||
\(583\) | 1.66635 | − | 1.98588i | 0.0690131 | − | 0.0822466i | ||||
\(584\) | 0.831056 | + | 0.810831i | 0.0343893 | + | 0.0335524i | ||||
\(585\) | −3.83714 | + | 1.19141i | −0.158646 | + | 0.0492589i | ||||
\(586\) | 3.78386 | − | 8.20228i | 0.156310 | − | 0.338833i | ||||
\(587\) | 2.01611 | + | 5.53922i | 0.0832138 | + | 0.228628i | 0.974320 | − | 0.225166i | \(-0.0722924\pi\) |
−0.891107 | + | 0.453794i | \(0.850070\pi\) | |||||||
\(588\) | −17.5707 | + | 4.41188i | −0.724604 | + | 0.181943i | ||||
\(589\) | −42.2213 | − | 50.3174i | −1.73970 | − | 2.07329i | ||||
\(590\) | 5.41671 | − | 20.5526i | 0.223002 | − | 0.846138i | ||||
\(591\) | 17.5624 | − | 16.7389i | 0.722422 | − | 0.688546i | ||||
\(592\) | −32.8861 | + | 6.35726i | −1.35161 | + | 0.261282i | ||||
\(593\) | − | 5.17543i | − | 0.212530i | −0.994338 | − | 0.106265i | \(-0.966111\pi\) | ||
0.994338 | − | 0.106265i | \(-0.0338891\pi\) | |||||||
\(594\) | 2.38852 | − | 35.1194i | 0.0980021 | − | 1.44096i | ||||
\(595\) | −2.60896 | −0.106957 | ||||||||
\(596\) | 0.280642 | + | 34.1756i | 0.0114955 | + | 1.39989i | ||||
\(597\) | −17.4374 | + | 4.22649i | −0.713664 | + | 0.172979i | ||||
\(598\) | −0.949254 | + | 3.60175i | −0.0388179 | + | 0.147287i | ||||
\(599\) | −3.88449 | + | 3.25948i | −0.158716 | + | 0.133179i | −0.718687 | − | 0.695334i | \(-0.755257\pi\) |
0.559971 | + | 0.828512i | \(0.310812\pi\) | |||||||
\(600\) | −2.62406 | − | 2.25463i | −0.107127 | − | 0.0920447i | ||||
\(601\) | 2.56491 | − | 0.933552i | 0.104625 | − | 0.0380804i | −0.289177 | − | 0.957276i | \(-0.593382\pi\) |
0.393802 | + | 0.919195i | \(0.371159\pi\) | |||||||
\(602\) | −5.32831 | − | 2.45805i | −0.217166 | − | 0.100183i | ||||
\(603\) | 5.68476 | − | 13.5562i | 0.231501 | − | 0.552049i | ||||
\(604\) | 5.63482 | − | 4.80757i | 0.229278 | − | 0.195617i | ||||
\(605\) | 21.8596 | + | 18.3424i | 0.888720 | + | 0.745725i | ||||
\(606\) | 0.680408 | − | 34.1895i | 0.0276397 | − | 1.38885i | ||||
\(607\) | −32.1776 | + | 5.67378i | −1.30605 | + | 0.230292i | −0.783006 | − | 0.622015i | \(-0.786314\pi\) |
−0.523043 | + | 0.852306i | \(0.675203\pi\) | |||||||
\(608\) | 20.2003 | + | 27.6242i | 0.819229 | + | 1.12031i | ||||
\(609\) | 7.73489 | + | 0.864236i | 0.313433 | + | 0.0350206i | ||||
\(610\) | 17.0125 | − | 24.5099i | 0.688816 | − | 0.992378i | ||||
\(611\) | 5.53032 | − | 3.19293i | 0.223733 | − | 0.129172i | ||||
\(612\) | −4.81247 | − | 1.04754i | −0.194532 | − | 0.0423445i | ||||
\(613\) | 28.4007 | + | 16.3971i | 1.14709 | + | 0.662274i | 0.948177 | − | 0.317743i | \(-0.102925\pi\) |
0.198915 | + | 0.980017i | \(0.436258\pi\) | |||||||
\(614\) | −19.3630 | + | 9.12611i | −0.781429 | + | 0.368300i | ||||
\(615\) | 14.5788 | − | 9.69517i | 0.587874 | − | 0.390947i | ||||
\(616\) | −10.1572 | + | 14.8931i | −0.409244 | + | 0.600058i | ||||
\(617\) | −9.77386 | + | 26.8534i | −0.393481 | + | 1.08108i | 0.571920 | + | 0.820309i | \(0.306199\pi\) |
−0.965401 | + | 0.260770i | \(0.916024\pi\) | |||||||
\(618\) | −35.5567 | + | 12.1460i | −1.43030 | + | 0.488583i | ||||
\(619\) | −1.65174 | + | 9.36748i | −0.0663890 | + | 0.376511i | 0.933452 | + | 0.358701i | \(0.116780\pi\) |
−0.999841 | + | 0.0178096i | \(0.994331\pi\) | |||||||
\(620\) | −9.42672 | − | 51.0086i | −0.378586 | − | 2.04856i | ||||
\(621\) | 8.69753 | + | 22.8077i | 0.349020 | + | 0.915240i | ||||
\(622\) | −8.51390 | + | 0.780107i | −0.341376 | + | 0.0312794i | ||||
\(623\) | 2.31434 | − | 13.1253i | 0.0927221 | − | 0.525853i | ||||
\(624\) | 3.50788 | + | 1.66824i | 0.140428 | + | 0.0667832i | ||||
\(625\) | 26.3417 | + | 9.58760i | 1.05367 | + | 0.383504i | ||||
\(626\) | −11.4755 | + | 11.5701i | −0.458652 | + | 0.462434i | ||||
\(627\) | 3.17320 | + | 50.0926i | 0.126726 | + | 2.00051i | ||||
\(628\) | 7.81701 | + | 13.2863i | 0.311932 | + | 0.530181i | ||||
\(629\) | −3.43683 | + | 5.95276i | −0.137035 | + | 0.237352i | ||||
\(630\) | 12.4595 | − | 5.15694i | 0.496396 | − | 0.205457i | ||||
\(631\) | −19.9443 | + | 11.5149i | −0.793970 | + | 0.458399i | −0.841358 | − | 0.540477i | \(-0.818244\pi\) |
0.0473880 | + | 0.998877i | \(0.484910\pi\) | |||||||
\(632\) | −5.38834 | + | 11.9370i | −0.214337 | + | 0.474830i | ||||
\(633\) | 11.3681 | − | 4.97241i | 0.451840 | − | 0.197636i | ||||
\(634\) | −4.74121 | − | 17.4082i | −0.188298 | − | 0.691369i | ||||
\(635\) | 10.8753 | − | 1.91761i | 0.431573 | − | 0.0760979i | ||||
\(636\) | 1.68635 | + | 0.819026i | 0.0668683 | + | 0.0324765i | ||||
\(637\) | 1.88470 | − | 2.24610i | 0.0746745 | − | 0.0889936i | ||||
\(638\) | −18.6870 | + | 13.1994i | −0.739824 | + | 0.522571i | ||||
\(639\) | 0.634889 | − | 13.2144i | 0.0251158 | − | 0.522752i | ||||
\(640\) | 3.12815 | + | 26.8441i | 0.123651 | + | 1.06111i | ||||
\(641\) | 2.38888 | + | 6.56340i | 0.0943552 | + | 0.259239i | 0.977888 | − | 0.209131i | \(-0.0670636\pi\) |
−0.883532 | + | 0.468370i | \(0.844841\pi\) | |||||||
\(642\) | 38.7278 | + | 14.9750i | 1.52846 | + | 0.591015i | ||||
\(643\) | 8.55274 | − | 7.17660i | 0.337287 | − | 0.283018i | −0.458374 | − | 0.888759i | \(-0.651568\pi\) |
0.795661 | + | 0.605742i | \(0.207124\pi\) | |||||||
\(644\) | 2.06958 | − | 12.3283i | 0.0815527 | − | 0.485802i | ||||
\(645\) | −12.3793 | − | 3.63763i | −0.487434 | − | 0.143232i | ||||
\(646\) | 6.99860 | + | 0.583354i | 0.275356 | + | 0.0229518i | ||||
\(647\) | 2.90752 | 0.114306 | 0.0571532 | − | 0.998365i | \(-0.481798\pi\) | ||||
0.0571532 | + | 0.998365i | \(0.481798\pi\) | |||||||
\(648\) | 25.0532 | − | 4.50975i | 0.984182 | − | 0.177160i | ||||
\(649\) | −30.1379 | −1.18302 | ||||||||
\(650\) | 0.558000 | + | 0.0465109i | 0.0218866 | + | 0.00182431i | ||||
\(651\) | 24.0068 | + | 7.05437i | 0.940902 | + | 0.276483i | ||||
\(652\) | −39.7404 | − | 6.67131i | −1.55635 | − | 0.261269i | ||||
\(653\) | −11.8399 | + | 9.93486i | −0.463331 | + | 0.388781i | −0.844355 | − | 0.535784i | \(-0.820016\pi\) |
0.381024 | + | 0.924565i | \(0.375572\pi\) | |||||||
\(654\) | −19.6831 | − | 7.61090i | −0.769670 | − | 0.297610i | ||||
\(655\) | 9.40252 | + | 25.8332i | 0.367387 | + | 1.00939i | ||||
\(656\) | −16.7154 | − | 2.66511i | −0.652627 | − | 0.104055i | ||||
\(657\) | −1.09484 | + | 0.563863i | −0.0427137 | + | 0.0219984i | ||||
\(658\) | −17.5054 | + | 12.3648i | −0.682430 | + | 0.482031i | ||||
\(659\) | −3.67612 | + | 4.38103i | −0.143201 | + | 0.170661i | −0.832878 | − | 0.553457i | \(-0.813308\pi\) |
0.689676 | + | 0.724118i | \(0.257753\pi\) | |||||||
\(660\) | −17.3171 | + | 35.6555i | −0.674068 | + | 1.38789i | ||||
\(661\) | 22.9903 | − | 4.05381i | 0.894220 | − | 0.157675i | 0.292390 | − | 0.956299i | \(-0.405550\pi\) |
0.601830 | + | 0.798624i | \(0.294438\pi\) | |||||||
\(662\) | −3.25626 | − | 11.9560i | −0.126558 | − | 0.464682i | ||||
\(663\) | 0.730322 | − | 0.319444i | 0.0283634 | − | 0.0124062i | ||||
\(664\) | −11.0101 | + | 24.3912i | −0.427275 | + | 0.946562i | ||||
\(665\) | −16.6518 | + | 9.61390i | −0.645728 | + | 0.372811i | ||||
\(666\) | 4.64666 | − | 35.2216i | 0.180054 | − | 1.36481i | ||||
\(667\) | 7.93256 | − | 13.7396i | 0.307150 | − | 0.532000i | ||||
\(668\) | 26.3735 | − | 15.5169i | 1.02042 | − | 0.600367i | ||||
\(669\) | −1.02821 | − | 16.2314i | −0.0397528 | − | 0.627543i | ||||
\(670\) | −11.6567 | + | 11.7528i | −0.450337 | + | 0.454050i | ||||
\(671\) | −39.7543 | − | 14.4694i | −1.53470 | − | 0.558584i | ||||
\(672\) | −12.2347 | − | 4.50129i | −0.471965 | − | 0.173641i | ||||
\(673\) | 5.99277 | − | 33.9867i | 0.231004 | − | 1.31009i | −0.619863 | − | 0.784710i | \(-0.712812\pi\) |
0.850867 | − | 0.525381i | \(-0.176077\pi\) | |||||||
\(674\) | −17.0965 | + | 1.56651i | −0.658533 | + | 0.0603397i | ||||
\(675\) | 3.14951 | − | 1.88300i | 0.121225 | − | 0.0724768i | ||||
\(676\) | 24.9489 | − | 4.61071i | 0.959571 | − | 0.177335i | ||||
\(677\) | −5.44766 | + | 30.8952i | −0.209370 | + | 1.18740i | 0.681042 | + | 0.732244i | \(0.261527\pi\) |
−0.890412 | + | 0.455155i | \(0.849584\pi\) | |||||||
\(678\) | −12.0448 | + | 4.11444i | −0.462578 | + | 0.158014i | ||||
\(679\) | 4.02379 | − | 11.0553i | 0.154419 | − | 0.424263i | ||||
\(680\) | 4.58193 | + | 3.12491i | 0.175709 | + | 0.119835i | ||||
\(681\) | 21.5414 | − | 14.3254i | 0.825468 | − | 0.548952i | ||||
\(682\) | −66.5334 | + | 31.3582i | −2.54769 | + | 1.20077i | ||||
\(683\) | 7.51680 | + | 4.33983i | 0.287622 | + | 0.166059i | 0.636869 | − | 0.770972i | \(-0.280229\pi\) |
−0.349247 | + | 0.937031i | \(0.613562\pi\) | |||||||
\(684\) | −34.5759 | + | 11.0477i | −1.32204 | + | 0.422421i | ||||
\(685\) | 17.4554 | − | 10.0779i | 0.666937 | − | 0.385056i | ||||
\(686\) | −13.1217 | + | 18.9044i | −0.500988 | + | 0.721774i | ||||
\(687\) | −16.0489 | − | 1.79317i | −0.612302 | − | 0.0684138i | ||||
\(688\) | 6.41357 | + | 10.6989i | 0.244515 | + | 0.407893i | ||||
\(689\) | −0.298812 | + | 0.0526885i | −0.0113838 | + | 0.00200727i | ||||
\(690\) | 0.546917 | − | 27.4818i | 0.0208208 | − | 1.04621i | ||||
\(691\) | 20.4210 | + | 17.1353i | 0.776853 | + | 0.651857i | 0.942454 | − | 0.334336i | \(-0.108512\pi\) |
−0.165601 | + | 0.986193i | \(0.552956\pi\) | |||||||
\(692\) | −7.97834 | − | 9.35119i | −0.303291 | − | 0.355479i | ||||
\(693\) | −11.5733 | − | 15.2201i | −0.439634 | − | 0.578163i | ||||
\(694\) | −11.8262 | − | 5.45562i | −0.448915 | − | 0.207093i | ||||
\(695\) | 7.53011 | − | 2.74074i | 0.285633 | − | 0.103962i | ||||
\(696\) | −12.5491 | − | 10.7823i | −0.475671 | − | 0.408703i | ||||
\(697\) | −2.66091 | + | 2.23277i | −0.100789 | + | 0.0845723i | ||||
\(698\) | −4.90071 | + | 18.5948i | −0.185495 | + | 0.703822i | ||||
\(699\) | 26.8118 | − | 6.49866i | 1.01411 | − | 0.245802i | ||||
\(700\) | −1.87916 | + | 0.0154312i | −0.0710257 | + | 0.000583246i | ||||
\(701\) | −2.75968 | −0.104232 | −0.0521159 | − | 0.998641i | \(-0.516597\pi\) | ||||
−0.0521159 | + | 0.998641i | \(0.516597\pi\) | |||||||
\(702\) | −2.85633 | + | 2.96912i | −0.107805 | + | 0.112062i | ||||
\(703\) | 50.6582i | 1.91061i | ||||||||
\(704\) | 35.6766 | − | 13.9897i | 1.34461 | − | 0.527258i | ||||
\(705\) | −34.1128 | + | 32.5132i | −1.28476 | + | 1.22452i | ||||
\(706\) | 7.93447 | − | 30.1057i | 0.298618 | − | 1.13304i | ||||
\(707\) | −11.9398 | − | 14.2293i | −0.449042 | − | 0.535147i | ||||
\(708\) | −5.30774 | − | 21.1386i | −0.199477 | − | 0.794436i | ||||
\(709\) | 1.60307 | + | 4.40439i | 0.0602044 | + | 0.165410i | 0.966148 | − | 0.257988i | \(-0.0830594\pi\) |
−0.905944 | + | 0.423398i | \(0.860837\pi\) | |||||||
\(710\) | −6.24047 | + | 13.5275i | −0.234201 | + | 0.507677i | ||||
\(711\) | −10.2006 | − | 9.42955i | −0.382552 | − | 0.353636i | ||||
\(712\) | −19.7854 | + | 20.2790i | −0.741491 | + | 0.759986i | ||||
\(713\) | 32.7855 | − | 39.0723i | 1.22783 | − | 1.46327i | ||||
\(714\) | −2.34302 | + | 1.29128i | −0.0876854 | + | 0.0483249i | ||||
\(715\) | −1.11402 | − | 6.31794i | −0.0416621 | − | 0.236278i | ||||
\(716\) | 32.6309 | − | 12.1810i | 1.21947 | − | 0.455226i | ||||
\(717\) | 24.3232 | + | 17.9164i | 0.908366 | + | 0.669102i | ||||
\(718\) | −8.90422 | − | 6.18047i | −0.332302 | − | 0.230653i | ||||
\(719\) | −12.9939 | − | 22.5060i | −0.484589 | − | 0.839333i | 0.515254 | − | 0.857037i | \(-0.327697\pi\) |
−0.999843 | + | 0.0177047i | \(0.994364\pi\) | |||||||
\(720\) | −28.0584 | − | 5.86667i | −1.04568 | − | 0.218638i | ||||
\(721\) | −10.2048 | + | 17.6753i | −0.380048 | + | 0.658263i | ||||
\(722\) | 22.5127 | − | 10.6106i | 0.837836 | − | 0.394885i | ||||
\(723\) | −20.7271 | + | 41.7995i | −0.770847 | + | 1.55454i | ||||
\(724\) | −36.8188 | − | 30.3829i | −1.36836 | − | 1.12917i | ||||
\(725\) | −2.24115 | − | 0.815713i | −0.0832343 | − | 0.0302948i | ||||
\(726\) | 28.7098 | + | 5.65351i | 1.06552 | + | 0.209821i | ||||
\(727\) | −1.66409 | − | 0.293423i | −0.0617175 | − | 0.0108825i | 0.142704 | − | 0.989765i | \(-0.454420\pi\) |
−0.204422 | + | 0.978883i | \(0.565531\pi\) | |||||||
\(728\) | 2.03116 | − | 0.571153i | 0.0752799 | − | 0.0211684i | ||||
\(729\) | −3.87526 | + | 26.7204i | −0.143528 | + | 0.989646i | ||||
\(730\) | 1.38099 | − | 0.126536i | 0.0511126 | − | 0.00468331i | ||||
\(731\) | 2.52096 | + | 0.444514i | 0.0932411 | + | 0.0164409i | ||||
\(732\) | 3.14742 | − | 30.4317i | 0.116332 | − | 1.12479i | ||||
\(733\) | 2.90306 | − | 7.97608i | 0.107227 | − | 0.294603i | −0.874462 | − | 0.485094i | \(-0.838786\pi\) |
0.981689 | + | 0.190490i | \(0.0610078\pi\) | |||||||
\(734\) | −30.3493 | − | 30.1011i | −1.12021 | − | 1.11105i | ||||
\(735\) | −9.61250 | + | 19.3852i | −0.354562 | + | 0.715034i | ||||
\(736\) | −18.4010 | + | 19.1724i | −0.678269 | + | 0.706705i | ||||
\(737\) | 20.3270 | + | 11.7358i | 0.748756 | + | 0.432295i | ||||
\(738\) | 8.29420 | − | 15.9225i | 0.305314 | − | 0.586117i | ||||
\(739\) | −25.0132 | − | 43.3241i | −0.920125 | − | 1.59370i | −0.799219 | − | 0.601040i | \(-0.794753\pi\) |
−0.120907 | − | 0.992664i | \(-0.538580\pi\) | |||||||
\(740\) | −19.7177 | + | 34.8091i | −0.724837 | + | 1.27961i | ||||
\(741\) | 3.48416 | − | 4.73006i | 0.127994 | − | 0.173763i | ||||
\(742\) | 0.982538 | − | 0.267599i | 0.0360701 | − | 0.00982386i | ||||
\(743\) | 3.59368 | + | 20.3808i | 0.131839 | + | 0.747699i | 0.977009 | + | 0.213200i | \(0.0683885\pi\) |
−0.845169 | + | 0.534499i | \(0.820500\pi\) | |||||||
\(744\) | −33.7120 | − | 41.1435i | −1.23594 | − | 1.50839i | ||||
\(745\) | 31.2700 | + | 26.2386i | 1.14564 | + | 0.961310i | ||||
\(746\) | 43.2302 | − | 30.5354i | 1.58277 | − | 1.11798i | ||||
\(747\) | −20.8430 | − | 19.2676i | −0.762607 | − | 0.704963i | ||||
\(748\) | 2.62892 | − | 7.41170i | 0.0961227 | − | 0.270999i | ||||
\(749\) | 21.1942 | − | 7.71404i | 0.774418 | − | 0.281865i | ||||
\(750\) | 24.8244 | − | 3.86960i | 0.906458 | − | 0.141298i | ||||
\(751\) | 29.7395 | + | 35.4421i | 1.08521 | + | 1.29330i | 0.953295 | + | 0.302039i | \(0.0976674\pi\) |
0.131913 | + | 0.991261i | \(0.457888\pi\) | |||||||
\(752\) | 45.5535 | − | 0.748199i | 1.66116 | − | 0.0272840i | ||||
\(753\) | 16.0598 | + | 16.8499i | 0.585252 | + | 0.614045i | ||||
\(754\) | 2.66853 | + | 0.222430i | 0.0971822 | + | 0.00810042i | ||||
\(755\) | − | 8.84681i | − | 0.321969i | ||||||
\(756\) | 8.63704 | − | 10.7980i | 0.314126 | − | 0.392718i | ||||
\(757\) | 3.04806i | 0.110784i | 0.998465 | + | 0.0553919i | \(0.0176408\pi\) | ||||
−0.998465 | + | 0.0553919i | \(0.982359\pi\) | |||||||
\(758\) | 1.95493 | − | 23.4536i | 0.0710061 | − | 0.851874i | ||||
\(759\) | −37.8789 | + | 9.18114i | −1.37492 | + | 0.333254i | ||||
\(760\) | 40.7594 | + | 3.06062i | 1.47850 | + | 0.111020i | ||||
\(761\) | −21.3392 | − | 25.4310i | −0.773544 | − | 0.921873i | 0.225079 | − | 0.974341i | \(-0.427736\pi\) |
−0.998623 | + | 0.0524671i | \(0.983292\pi\) | |||||||
\(762\) | 8.81764 | − | 7.10475i | 0.319429 | − | 0.257378i | ||||
\(763\) | −10.7718 | + | 3.92060i | −0.389964 | + | 0.141935i | ||||
\(764\) | −2.89342 | + | 8.15742i | −0.104680 | + | 0.295125i | ||||
\(765\) | −4.68254 | + | 3.56060i | −0.169298 | + | 0.128734i | ||||
\(766\) | 18.1877 | + | 25.7491i | 0.657149 | + | 0.930353i | ||||
\(767\) | 2.70218 | + | 2.26740i | 0.0975701 | + | 0.0818710i | ||||
\(768\) | 16.0955 | + | 22.5596i | 0.580797 | + | 0.814048i | ||||
\(769\) | 2.85202 | + | 16.1746i | 0.102847 | + | 0.583272i | 0.992059 | + | 0.125777i | \(0.0401423\pi\) |
−0.889212 | + | 0.457495i | \(0.848747\pi\) | |||||||
\(770\) | 5.65799 | + | 20.7744i | 0.203900 | + | 0.748656i | ||||
\(771\) | 47.8053 | + | 5.34139i | 1.72166 | + | 0.192365i | ||||
\(772\) | −3.97752 | − | 2.25308i | −0.143154 | − | 0.0810901i | ||||
\(773\) | −12.1498 | − | 21.0441i | −0.436998 | − | 0.756902i | 0.560459 | − | 0.828182i | \(-0.310625\pi\) |
−0.997456 | + | 0.0712802i | \(0.977292\pi\) | |||||||
\(774\) | −12.9178 | + | 2.86016i | −0.464322 | + | 0.102806i | ||||
\(775\) | −6.64029 | − | 3.83378i | −0.238526 | − | 0.137713i | ||||
\(776\) | −20.3083 | + | 14.5961i | −0.729024 | + | 0.523968i | ||||
\(777\) | −10.6861 | − | 16.0689i | −0.383362 | − | 0.576467i | ||||
\(778\) | 25.7853 | − | 25.9979i | 0.924447 | − | 0.932069i | ||||
\(779\) | −8.75570 | + | 24.0561i | −0.313705 | + | 0.861898i | ||||
\(780\) | 4.23517 | − | 1.89405i | 0.151644 | − | 0.0678180i | ||||
\(781\) | 20.8031 | + | 3.66815i | 0.744394 | + | 0.131257i | ||||
\(782\) | 0.497594 | + | 5.43063i | 0.0177939 | + | 0.194199i | ||||
\(783\) | 15.0620 | − | 9.00512i | 0.538271 | − | 0.321817i | ||||
\(784\) | 19.5370 | − | 7.47648i | 0.697751 | − | 0.267017i | ||||
\(785\) | 18.1320 | + | 3.19716i | 0.647160 | + | 0.114112i | ||||
\(786\) | 21.2300 | + | 18.5463i | 0.757248 | + | 0.661524i | ||||
\(787\) | 20.2994 | + | 7.38838i | 0.723595 | + | 0.263367i | 0.677451 | − | 0.735568i | \(-0.263084\pi\) |
0.0461441 | + | 0.998935i | \(0.485307\pi\) | |||||||
\(788\) | −17.8309 | + | 21.6079i | −0.635198 | + | 0.769749i | ||||
\(789\) | 5.05769 | − | 0.320388i | 0.180058 | − | 0.0114061i | ||||
\(790\) | 6.66901 | + | 14.1498i | 0.237273 | + | 0.503426i | ||||
\(791\) | −3.45689 | + | 5.98751i | −0.122913 | + | 0.212891i | ||||
\(792\) | 2.09540 | + | 40.5920i | 0.0744569 | + | 1.44237i | ||||
\(793\) | 2.47580 | + | 4.28821i | 0.0879182 | + | 0.152279i | ||||
\(794\) | 3.14966 | − | 4.53772i | 0.111777 | − | 0.161038i | ||||
\(795\) | 2.05148 | − | 0.897319i | 0.0727583 | − | 0.0318246i | ||||
\(796\) | 19.4097 | − | 7.24558i | 0.687957 | − | 0.256813i | ||||
\(797\) | −0.278613 | − | 1.58009i | −0.00986897 | − | 0.0559697i | 0.979476 | − | 0.201563i | \(-0.0646021\pi\) |
−0.989345 | + | 0.145593i | \(0.953491\pi\) | |||||||
\(798\) | −10.1961 | + | 16.8756i | −0.360938 | + | 0.597388i | ||||
\(799\) | 6.00975 | − | 7.16214i | 0.212610 | − | 0.253378i | ||||
\(800\) | 3.31872 | + | 2.22369i | 0.117335 | + | 0.0786192i | ||||
\(801\) | −13.7591 | − | 26.7157i | −0.486153 | − | 0.943951i | ||||
\(802\) | −21.2078 | − | 9.78353i | −0.748872 | − | 0.345468i | ||||
\(803\) | −0.672542 | − | 1.84779i | −0.0237335 | − | 0.0652073i | ||||
\(804\) | −4.65155 | + | 16.3241i | −0.164047 | + | 0.575708i | ||||
\(805\) | −9.59728 | − | 11.4376i | −0.338260 | − | 0.403122i | ||||
\(806\) | 8.32463 | + | 2.19398i | 0.293222 | + | 0.0772798i | ||||
\(807\) | 32.2035 | + | 9.46294i | 1.13362 | + | 0.333111i | ||||
\(808\) | 3.92572 | + | 39.2908i | 0.138106 | + | 1.38225i | ||||
\(809\) | 20.4558i | 0.719187i | 0.933109 | + | 0.359593i | \(0.117085\pi\) | ||||
−0.933109 | + | 0.359593i | \(0.882915\pi\) | |||||||
\(810\) | 15.3241 | − | 26.2597i | 0.538435 | − | 0.922673i | ||||
\(811\) | −5.49673 | −0.193016 | −0.0965081 | − | 0.995332i | \(-0.530767\pi\) | ||||
−0.0965081 | + | 0.995332i | \(0.530767\pi\) | |||||||
\(812\) | −8.98675 | + | 0.0737971i | −0.315373 | + | 0.00258977i | ||||
\(813\) | 12.3296 | − | 41.9589i | 0.432416 | − | 1.47156i | ||||
\(814\) | 54.8534 | + | 14.4568i | 1.92261 | + | 0.506711i | ||||
\(815\) | −36.8692 | + | 30.9370i | −1.29147 | + | 1.08367i | ||||
\(816\) | 5.66152 | + | 0.538597i | 0.198193 | + | 0.0188547i | ||||
\(817\) | 17.7281 | − | 6.45251i | 0.620229 | − | 0.225745i | ||||
\(818\) | 17.2276 | − | 37.3442i | 0.602349 | − | 1.30571i | ||||
\(819\) | −0.107398 | + | 2.23535i | −0.00375280 | + | 0.0781094i | ||||
\(820\) | −15.3797 | + | 13.1218i | −0.537082 | + | 0.458233i | ||||
\(821\) | 18.3310 | + | 15.3815i | 0.639756 | + | 0.536819i | 0.903943 | − | 0.427653i | \(-0.140659\pi\) |
−0.264187 | + | 0.964471i | \(0.585104\pi\) | |||||||
\(822\) | 10.6882 | − | 17.6900i | 0.372793 | − | 0.617010i | ||||
\(823\) | −41.8956 | + | 7.38732i | −1.46039 | + | 0.257506i | −0.846711 | − | 0.532053i | \(-0.821421\pi\) |
−0.613676 | + | 0.789558i | \(0.710310\pi\) | |||||||
\(824\) | 39.0928 | − | 18.8189i | 1.36186 | − | 0.655588i | ||||
\(825\) | 2.34802 | + | 5.36811i | 0.0817477 | + | 0.186894i | ||||
\(826\) | −9.72544 | − | 6.75049i | −0.338391 | − | 0.234880i | ||||
\(827\) | 1.29000 | − | 0.744779i | 0.0448575 | − | 0.0258985i | −0.477404 | − | 0.878684i | \(-0.658422\pi\) |
0.522261 | + | 0.852786i | \(0.325089\pi\) | |||||||
\(828\) | −13.1107 | − | 24.9512i | −0.455627 | − | 0.867112i | ||||
\(829\) | −29.6403 | − | 17.1128i | −1.02945 | − | 0.594353i | −0.112623 | − | 0.993638i | \(-0.535925\pi\) |
−0.916827 | + | 0.399284i | \(0.869259\pi\) | |||||||
\(830\) | 13.6269 | + | 28.9125i | 0.472997 | + | 1.00357i | ||||
\(831\) | −2.59663 | − | 40.9907i | −0.0900759 | − | 1.42195i | ||||
\(832\) | −4.25129 | − | 1.42977i | −0.147387 | − | 0.0495683i | ||||
\(833\) | 1.46824 | − | 4.03395i | 0.0508714 | − | 0.139768i | ||||
\(834\) | 5.40604 | − | 6.18831i | 0.187196 | − | 0.214284i | ||||
\(835\) | 6.34643 | − | 35.9924i | 0.219627 | − | 1.24557i | ||||
\(836\) | −10.5326 | − | 56.9928i | −0.364279 | − | 1.97114i | ||||
\(837\) | 52.7147 | − | 20.1024i | 1.82209 | − | 0.694840i | ||||
\(838\) | −0.363040 | − | 3.96213i | −0.0125410 | − | 0.136870i | ||||
\(839\) | −5.25860 | + | 29.8230i | −0.181547 | + | 1.02960i | 0.748765 | + | 0.662835i | \(0.230647\pi\) |
−0.930312 | + | 0.366769i | \(0.880464\pi\) | |||||||
\(840\) | −13.5746 | + | 7.62716i | −0.468367 | + | 0.263162i | ||||
\(841\) | 16.5332 | + | 6.01759i | 0.570110 | + | 0.207503i | ||||
\(842\) | 21.1544 | + | 20.9814i | 0.729030 | + | 0.723068i | ||||
\(843\) | 19.2058 | − | 12.7722i | 0.661481 | − | 0.439898i | ||||
\(844\) | −12.3487 | + | 7.26539i | −0.425060 | + | 0.250085i | ||||
\(845\) | 15.1515 | − | 26.2432i | 0.521228 | − | 0.902794i | ||||
\(846\) | −14.5435 | + | 46.0828i | −0.500016 | + | 1.58436i | ||||
\(847\) | 13.7649 | − | 7.94715i | 0.472966 | − | 0.273067i | ||||
\(848\) | −2.04608 | − | 0.706880i | −0.0702627 | − | 0.0242744i | ||||
\(849\) | 2.31849 | − | 20.7504i | 0.0795702 | − | 0.712151i | ||||
\(850\) | 0.790987 | − | 0.215429i | 0.0271306 | − | 0.00738916i | ||||
\(851\) | −38.7394 | + | 6.83079i | −1.32797 | + | 0.234157i | ||||
\(852\) | 1.09092 | + | 15.2372i | 0.0373743 | + | 0.522019i | ||||
\(853\) | 19.1696 | − | 22.8454i | 0.656353 | − | 0.782211i | −0.330504 | − | 0.943804i | \(-0.607219\pi\) |
0.986857 | + | 0.161593i | \(0.0516633\pi\) | |||||||
\(854\) | −9.58768 | − | 13.5737i | −0.328084 | − | 0.464481i | ||||
\(855\) | −16.7658 | + | 39.9806i | −0.573378 | + | 1.36731i | ||||
\(856\) | −46.4613 | − | 11.8379i | −1.58802 | − | 0.404611i | ||||
\(857\) | −8.70467 | − | 23.9159i | −0.297346 | − | 0.816951i | −0.994941 | − | 0.100459i | \(-0.967969\pi\) |
0.697595 | − | 0.716492i | \(-0.254253\pi\) | |||||||
\(858\) | −4.12747 | − | 5.12256i | −0.140909 | − | 0.174881i | ||||
\(859\) | −35.6942 | + | 29.9510i | −1.21787 | + | 1.02191i | −0.218935 | + | 0.975739i | \(0.570258\pi\) |
−0.998933 | + | 0.0461739i | \(0.985297\pi\) | |||||||
\(860\) | 14.6931 | + | 2.46657i | 0.501032 | + | 0.0841093i | ||||
\(861\) | −2.29719 | − | 9.47759i | −0.0782880 | − | 0.322995i | ||||
\(862\) | 3.43413 | − | 41.1999i | 0.116967 | − | 1.40327i | ||||
\(863\) | 4.01789 | 0.136771 | 0.0683853 | − | 0.997659i | \(-0.478215\pi\) | ||||
0.0683853 | + | 0.997659i | \(0.478215\pi\) | |||||||
\(864\) | −28.1020 | + | 8.61856i | −0.956048 | + | 0.293209i | ||||
\(865\) | −14.6816 | −0.499190 | ||||||||
\(866\) | 0.450877 | − | 5.40926i | 0.0153214 | − | 0.183814i | ||||
\(867\) | −20.4696 | + | 19.5097i | −0.695184 | + | 0.662585i | ||||
\(868\) | −28.4940 | − | 4.78335i | −0.967150 | − | 0.162358i | ||||
\(869\) | 16.9913 | − | 14.2574i | 0.576391 | − | 0.483650i | ||||
\(870\) | −19.5253 | + | 3.04358i | −0.661969 | + | 0.103187i | ||||
\(871\) | −0.939599 | − | 2.58153i | −0.0318371 | − | 0.0874717i | ||||
\(872\) | 23.6136 | + | 6.01651i | 0.799657 | + | 0.203745i | ||||
\(873\) | −7.86590 | − | 25.3334i | −0.266221 | − | 0.857406i | ||||
\(874\) | 23.1875 | + | 32.8275i | 0.784330 | + | 1.11041i | ||||
\(875\) | 8.77221 | − | 10.4543i | 0.296555 | − | 0.353420i | ||||
\(876\) | 1.17759 | − | 0.797142i | 0.0397870 | − | 0.0269329i | ||||
\(877\) | 35.2007 | − | 6.20683i | 1.18864 | − | 0.209590i | 0.455860 | − | 0.890052i | \(-0.349332\pi\) |
0.732784 | + | 0.680462i | \(0.238221\pi\) | |||||||
\(878\) | −6.90768 | + | 1.88134i | −0.233123 | + | 0.0634921i | ||||
\(879\) | −8.90746 | − | 6.56123i | −0.300441 | − | 0.221305i | ||||
\(880\) | 14.9460 | − | 43.2614i | 0.503828 | − | 1.45834i | ||||
\(881\) | −11.3067 | + | 6.52790i | −0.380931 | + | 0.219931i | −0.678223 | − | 0.734856i | \(-0.737250\pi\) |
0.297292 | + | 0.954787i | \(0.403916\pi\) | |||||||
\(882\) | 0.961840 | + | 22.1668i | 0.0323868 | + | 0.746395i | ||||
\(883\) | −6.74255 | + | 11.6784i | −0.226905 | + | 0.393011i | −0.956889 | − | 0.290453i | \(-0.906194\pi\) |
0.729984 | + | 0.683464i | \(0.239527\pi\) | |||||||
\(884\) | −0.793323 | + | 0.466753i | −0.0266823 | + | 0.0156986i | ||||
\(885\) | −23.3215 | − | 11.5644i | −0.783943 | − | 0.388732i | ||||
\(886\) | 27.8317 | + | 27.6041i | 0.935025 | + | 0.927379i | ||||
\(887\) | 9.99335 | + | 3.63728i | 0.335544 | + | 0.122128i | 0.504297 | − | 0.863530i | \(-0.331752\pi\) |
−0.168753 | + | 0.985658i | \(0.553974\pi\) | |||||||
\(888\) | −0.479416 | + | 41.0199i | −0.0160882 | + | 1.37654i | ||||
\(889\) | 1.06810 | − | 6.05750i | 0.0358229 | − | 0.203162i | ||||
\(890\) | 3.08766 | + | 33.6980i | 0.103499 | + | 1.12956i | ||||
\(891\) | −41.5434 | − | 11.5221i | −1.39176 | − | 0.386004i | ||||
\(892\) | 3.41287 | + | 18.4673i | 0.114271 | + | 0.618331i | ||||
\(893\) | 11.9652 | − | 67.8583i | 0.400402 | − | 2.27079i | ||||
\(894\) | 41.0691 | + | 8.08729i | 1.37356 | + | 0.270479i | ||||
\(895\) | 14.2283 | − | 39.0919i | 0.475599 | − | 1.30670i | ||||
\(896\) | 14.6463 | + | 3.47662i | 0.489298 | + | 0.116146i | ||||
\(897\) | 4.08698 | + | 2.02660i | 0.136460 | + | 0.0676663i | ||||
\(898\) | −5.41326 | − | 11.4854i | −0.180643 | − | 0.383273i | ||||
\(899\) | −31.7560 | − | 18.3343i | −1.05912 | − | 0.611484i | ||||
\(900\) | −3.35165 | + | 2.59230i | −0.111722 | + | 0.0864099i | ||||
\(901\) | −0.384721 | + | 0.222119i | −0.0128169 | + | 0.00739986i | ||||
\(902\) | 23.5495 | + | 16.3459i | 0.784114 | + | 0.544258i | ||||
\(903\) | −4.26226 | + | 5.78640i | −0.141839 | + | 0.192559i | ||||
\(904\) | 13.2427 | − | 6.37490i | 0.440445 | − | 0.212026i | ||||
\(905\) | −56.1491 | + | 9.90060i | −1.86646 | + | 0.329107i | ||||
\(906\) | −4.37864 | − | 7.94503i | −0.145471 | − | 0.263956i | ||||
\(907\) | −20.2985 | − | 17.0325i | −0.674002 | − | 0.565555i | 0.240245 | − | 0.970712i | \(-0.422772\pi\) |
−0.914247 | + | 0.405157i | \(0.867217\pi\) | |||||||
\(908\) | −22.7248 | + | 19.3886i | −0.754149 | + | 0.643432i | ||||
\(909\) | −40.8489 | − | 9.24367i | −1.35487 | − | 0.306593i | ||||
\(910\) | 1.05564 | − | 2.28831i | 0.0349942 | − | 0.0758569i | ||||
\(911\) | 15.1149 | − | 5.50138i | 0.500780 | − | 0.182269i | −0.0792648 | − | 0.996854i | \(-0.525257\pi\) |
0.580045 | + | 0.814585i | \(0.303035\pi\) | |||||||
\(912\) | 38.1195 | − | 17.4248i | 1.26226 | − | 0.576994i | ||||
\(913\) | 34.7187 | − | 29.1324i | 1.14902 | − | 0.964143i | ||||
\(914\) | 26.5695 | + | 7.00247i | 0.878839 | + | 0.231621i | ||||
\(915\) | −25.2107 | − | 26.4511i | −0.833442 | − | 0.874446i | ||||
\(916\) | 18.6463 | − | 0.153119i | 0.616091 | − | 0.00505919i | ||||
\(917\) | 15.3125 | 0.505662 | ||||||||
\(918\) | −2.44295 | + | 5.51523i | −0.0806294 | + | 0.182030i | ||||
\(919\) | − | 31.3508i | − | 1.03417i | −0.855935 | − | 0.517084i | \(-0.827017\pi\) | ||
0.855935 | − | 0.517084i | \(-0.172983\pi\) | |||||||
\(920\) | 3.15552 | + | 31.5822i | 0.104034 | + | 1.04124i | ||||
\(921\) | 6.17564 | + | 25.4790i | 0.203494 | + | 0.839563i | ||||
\(922\) | −30.8798 | − | 8.13848i | −1.01697 | − | 0.268026i | ||||
\(923\) | −1.58925 | − | 1.89399i | −0.0523108 | − | 0.0623416i | ||||
\(924\) | 15.3633 | + | 15.8564i | 0.505416 | + | 0.521637i | ||||
\(925\) | 2.02253 | + | 5.55685i | 0.0665003 | + | 0.182708i | ||||
\(926\) | −9.90633 | − | 4.56998i | −0.325542 | − | 0.150179i | ||||
\(927\) | 5.80694 | + | 45.6506i | 0.190725 | + | 1.49936i | ||||
\(928\) | 15.8712 | + | 10.6344i | 0.520997 | + | 0.349090i | ||||
\(929\) | −3.84272 | + | 4.57958i | −0.126076 | + | 0.150251i | −0.825390 | − | 0.564564i | \(-0.809045\pi\) |
0.699314 | + | 0.714815i | \(0.253489\pi\) | |||||||
\(930\) | −63.5179 | − | 1.26407i | −2.08283 | − | 0.0414506i | ||||
\(931\) | −5.49385 | − | 31.1572i | −0.180054 | − | 1.02113i | ||||
\(932\) | −29.8444 | + | 11.1408i | −0.977584 | + | 0.364930i | ||||
\(933\) | −1.16272 | + | 10.4063i | −0.0380656 | + | 0.340686i | ||||
\(934\) | 5.16525 | − | 7.44158i | 0.169012 | − | 0.243496i | ||||
\(935\) | −4.69639 | − | 8.13438i | −0.153588 | − | 0.266023i | ||||
\(936\) | 2.86603 | − | 3.79714i | 0.0936790 | − | 0.124114i | ||||
\(937\) | −5.04870 | + | 8.74460i | −0.164934 | + | 0.285674i | −0.936632 | − | 0.350315i | \(-0.886074\pi\) |
0.771698 | + | 0.635989i | \(0.219408\pi\) | |||||||
\(938\) | 3.93083 | + | 8.34012i | 0.128346 | + | 0.272315i | ||||
\(939\) | 11.0519 | + | 16.6189i | 0.360664 | + | 0.542336i | ||||
\(940\) | 34.6342 | − | 41.9706i | 1.12964 | − | 1.36893i | ||||
\(941\) | 14.5701 | + | 5.30310i | 0.474973 | + | 0.172876i | 0.568404 | − | 0.822750i | \(-0.307561\pi\) |
−0.0934309 | + | 0.995626i | \(0.529783\pi\) | |||||||
\(942\) | 17.8662 | − | 6.10299i | 0.582111 | − | 0.198846i | ||||
\(943\) | −19.5768 | − | 3.45191i | −0.637508 | − | 0.112410i | ||||
\(944\) | 8.99462 | + | 23.5041i | 0.292750 | + | 0.764995i | ||||
\(945\) | −3.11556 | − | 16.2185i | −0.101349 | − | 0.527589i | ||||
\(946\) | −1.92762 | − | 21.0377i | −0.0626725 | − | 0.683993i | ||||
\(947\) | −18.1746 | − | 3.20467i | −0.590594 | − | 0.104138i | −0.129639 | − | 0.991561i | \(-0.541382\pi\) |
−0.460955 | + | 0.887424i | \(0.652493\pi\) | |||||||
\(948\) | 12.9925 | + | 9.40668i | 0.421977 | + | 0.305515i | ||||
\(949\) | −0.0787167 | + | 0.216272i | −0.00255525 | + | 0.00702050i | ||||
\(950\) | 4.25465 | − | 4.28973i | 0.138039 | − | 0.139177i | ||||
\(951\) | −22.0530 | + | 1.39699i | −0.715119 | + | 0.0453005i | ||||
\(952\) | 2.50847 | − | 1.80290i | 0.0813000 | − | 0.0584323i | ||||
\(953\) | 33.4092 | + | 19.2888i | 1.08223 | + | 0.624825i | 0.931497 | − | 0.363749i | \(-0.118504\pi\) |
0.150732 | + | 0.988575i | \(0.451837\pi\) | |||||||
\(954\) | 1.39824 | − | 1.82121i | 0.0452698 | − | 0.0589638i | ||||
\(955\) | 5.16891 | + | 8.95281i | 0.167262 | + | 0.289706i | ||||
\(956\) | −30.3517 | − | 17.1928i | −0.981645 | − | 0.556056i | ||||
\(957\) | 11.2290 | + | 25.6720i | 0.362982 | + | 0.829858i | ||||
\(958\) | −8.56452 | − | 31.4462i | −0.276707 | − | 1.01598i | ||||
\(959\) | −1.94950 | − | 11.0561i | −0.0629525 | − | 0.357021i | ||||
\(960\) | 32.9755 | + | 2.86404i | 1.06428 | + | 0.0924364i | ||||
\(961\) | −66.5593 | − | 55.8499i | −2.14707 | − | 1.80161i | ||||
\(962\) | −3.83054 | − | 5.42305i | −0.123502 | − | 0.174846i | ||||
\(963\) | 27.5113 | − | 42.7700i | 0.886539 | − | 1.37824i | ||||
\(964\) | 18.0097 | − | 50.7747i | 0.580053 | − | 1.63534i | ||||
\(965\) | −5.13064 | + | 1.86740i | −0.165161 | + | 0.0601137i | ||||
\(966\) | −14.2799 | − | 5.52164i | −0.459449 | − | 0.177656i | ||||
\(967\) | −18.7329 | − | 22.3250i | −0.602409 | − | 0.717923i | 0.375531 | − | 0.926810i | \(-0.377460\pi\) |
−0.977940 | + | 0.208887i | \(0.933016\pi\) | |||||||
\(968\) | −33.6930 | − | 2.53000i | −1.08293 | − | 0.0813173i | ||||
\(969\) | 2.42493 | − | 8.25232i | 0.0779000 | − | 0.265103i | ||||
\(970\) | −2.48121 | + | 29.7676i | −0.0796669 | + | 0.955779i | ||||
\(971\) | 49.1955i | 1.57876i | 0.613906 | + | 0.789379i | \(0.289597\pi\) | ||||
−0.613906 | + | 0.789379i | \(0.710403\pi\) | |||||||
\(972\) | 0.765102 | − | 31.1675i | 0.0245407 | − | 0.999699i | ||||
\(973\) | − | 4.46342i | − | 0.143091i | ||||||
\(974\) | 19.5835 | + | 1.63234i | 0.627496 | + | 0.0523036i | ||||
\(975\) | 0.193340 | − | 0.657959i | 0.00619185 | − | 0.0210716i | ||||
\(976\) | 0.580154 | + | 35.3222i | 0.0185703 | + | 1.13064i | ||||
\(977\) | −11.8068 | − | 14.0708i | −0.377733 | − | 0.450164i | 0.543365 | − | 0.839497i | \(-0.317150\pi\) |
−0.921097 | + | 0.389333i | \(0.872706\pi\) | |||||||
\(978\) | −17.7991 | + | 46.0315i | −0.569153 | + | 1.47193i | ||||
\(979\) | 45.0889 | − | 16.4110i | 1.44105 | − | 0.524498i | ||||
\(980\) | 8.35228 | − | 23.5476i | 0.266804 | − | 0.752199i | ||||
\(981\) | −13.9824 | + | 21.7375i | −0.446423 | + | 0.694024i | ||||
\(982\) | 15.4977 | − | 10.9467i | 0.494550 | − | 0.349322i | ||||
\(983\) | 27.2316 | + | 22.8500i | 0.868553 | + | 0.728803i | 0.963793 | − | 0.266652i | \(-0.0859174\pi\) |
−0.0952398 | + | 0.995454i | \(0.530362\pi\) | |||||||
\(984\) | −7.31749 | + | 19.3963i | −0.233273 | + | 0.618331i | ||||
\(985\) | 5.81037 | + | 32.9523i | 0.185134 | + | 1.04995i | ||||
\(986\) | 3.78275 | − | 1.03025i | 0.120467 | − | 0.0328098i | ||||
\(987\) | 10.5190 | + | 24.0487i | 0.334822 | + | 0.765480i | ||||
\(988\) | −3.34344 | + | 5.90242i | −0.106369 | + | 0.187781i | ||||
\(989\) | 7.32483 | + | 12.6870i | 0.232916 | + | 0.403423i | ||||
\(990\) | 38.5069 | + | 29.5638i | 1.22383 | + | 0.939600i | ||||
\(991\) | −34.1795 | − | 19.7335i | −1.08575 | − | 0.626857i | −0.153307 | − | 0.988179i | \(-0.548992\pi\) |
−0.932441 | + | 0.361322i | \(0.882326\pi\) | |||||||
\(992\) | 44.3127 | + | 42.5296i | 1.40693 | + | 1.35032i | ||||
\(993\) | −15.1460 | + | 0.959452i | −0.480645 | + | 0.0304473i | ||||
\(994\) | 5.89151 | + | 5.84333i | 0.186867 | + | 0.185339i | ||||
\(995\) | 8.46334 | − | 23.2528i | 0.268306 | − | 0.737164i | ||||
\(996\) | 26.5478 | + | 19.2209i | 0.841200 | + | 0.609036i | ||||
\(997\) | −12.4794 | − | 2.20045i | −0.395226 | − | 0.0696889i | −0.0274965 | − | 0.999622i | \(-0.508754\pi\) |
−0.367729 | + | 0.929933i | \(0.619865\pi\) | |||||||
\(998\) | −40.0536 | + | 3.67001i | −1.26788 | + | 0.116172i | ||||
\(999\) | −41.1094 | − | 14.2563i | −1.30064 | − | 0.451050i |
(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 | 216.2.v.b.83.16 | ✓ | 192 | |
3.2 | odd | 2 | 648.2.v.b.251.17 | 192 | |||
4.3 | odd | 2 | 864.2.bh.b.623.1 | 192 | |||
8.3 | odd | 2 | inner | 216.2.v.b.83.20 | yes | 192 | |
8.5 | even | 2 | 864.2.bh.b.623.2 | 192 | |||
24.11 | even | 2 | 648.2.v.b.251.13 | 192 | |||
27.13 | even | 9 | 648.2.v.b.395.13 | 192 | |||
27.14 | odd | 18 | inner | 216.2.v.b.203.20 | yes | 192 | |
108.95 | even | 18 | 864.2.bh.b.527.2 | 192 | |||
216.67 | odd | 18 | 648.2.v.b.395.17 | 192 | |||
216.149 | odd | 18 | 864.2.bh.b.527.1 | 192 | |||
216.203 | even | 18 | inner | 216.2.v.b.203.16 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.v.b.83.16 | ✓ | 192 | 1.1 | even | 1 | trivial | |
216.2.v.b.83.20 | yes | 192 | 8.3 | odd | 2 | inner | |
216.2.v.b.203.16 | yes | 192 | 216.203 | even | 18 | inner | |
216.2.v.b.203.20 | yes | 192 | 27.14 | odd | 18 | inner | |
648.2.v.b.251.13 | 192 | 24.11 | even | 2 | |||
648.2.v.b.251.17 | 192 | 3.2 | odd | 2 | |||
648.2.v.b.395.13 | 192 | 27.13 | even | 9 | |||
648.2.v.b.395.17 | 192 | 216.67 | odd | 18 | |||
864.2.bh.b.527.1 | 192 | 216.149 | odd | 18 | |||
864.2.bh.b.527.2 | 192 | 108.95 | even | 18 | |||
864.2.bh.b.623.1 | 192 | 4.3 | odd | 2 | |||
864.2.bh.b.623.2 | 192 | 8.5 | even | 2 |