Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,2,Mod(2,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.r (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.758578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 72.1 | ||
Character | \(\chi\) | \(=\) | 95.72 |
Dual form | 95.2.r.a.33.1 |
$q$-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 \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.46137 | + | 1.14775i | −1.74045 | + | 0.811585i | −0.752163 | + | 0.658977i | \(0.770989\pi\) |
−0.988287 | + | 0.152608i | \(0.951233\pi\) | |||||||
\(3\) | −0.378859 | + | 0.541067i | −0.218734 | + | 0.312385i | −0.913490 | − | 0.406861i | \(-0.866623\pi\) |
0.694756 | + | 0.719246i | \(0.255512\pi\) | |||||||
\(4\) | 3.45542 | − | 4.11800i | 1.72771 | − | 2.05900i | ||||
\(5\) | 1.16036 | − | 1.91143i | 0.518928 | − | 0.854818i | ||||
\(6\) | 0.311499 | − | 1.76660i | 0.127169 | − | 0.721212i | ||||
\(7\) | 1.06230 | − | 0.284643i | 0.401512 | − | 0.107585i | −0.0524111 | − | 0.998626i | \(-0.516691\pi\) |
0.453923 | + | 0.891041i | \(0.350024\pi\) | |||||||
\(8\) | −2.37278 | + | 8.85533i | −0.838904 | + | 3.13083i | ||||
\(9\) | 0.876841 | + | 2.40910i | 0.292280 | + | 0.803034i | ||||
\(10\) | −0.662211 | + | 6.03654i | −0.209410 | + | 1.90892i | ||||
\(11\) | −0.0283658 | − | 0.0491311i | −0.00855262 | − | 0.0148136i | 0.861717 | − | 0.507389i | \(-0.169389\pi\) |
−0.870270 | + | 0.492575i | \(0.836056\pi\) | |||||||
\(12\) | 0.918999 | + | 3.42975i | 0.265292 | + | 0.990084i | ||||
\(13\) | 4.35721 | − | 3.05095i | 1.20847 | − | 0.846181i | 0.216958 | − | 0.976181i | \(-0.430387\pi\) |
0.991514 | + | 0.130000i | \(0.0414977\pi\) | |||||||
\(14\) | −2.28801 | + | 1.91987i | −0.611498 | + | 0.513108i | ||||
\(15\) | 0.594600 | + | 1.35199i | 0.153525 | + | 0.349083i | ||||
\(16\) | −2.45651 | − | 13.9316i | −0.614129 | − | 3.48290i | ||||
\(17\) | 0.142917 | + | 0.306486i | 0.0346624 | + | 0.0743337i | 0.922877 | − | 0.385096i | \(-0.125832\pi\) |
−0.888214 | + | 0.459430i | \(0.848054\pi\) | |||||||
\(18\) | −4.92329 | − | 4.92329i | −1.16043 | − | 1.16043i | ||||
\(19\) | 1.60878 | + | 4.05115i | 0.369079 | + | 0.929398i | ||||
\(20\) | −3.86177 | − | 11.3831i | −0.863517 | − | 2.54535i | ||||
\(21\) | −0.248452 | + | 0.682615i | −0.0542166 | + | 0.148959i | ||||
\(22\) | 0.126209 | + | 0.0883726i | 0.0269079 | + | 0.0188411i | ||||
\(23\) | 1.50764 | − | 0.131902i | 0.314366 | − | 0.0275034i | 0.0711188 | − | 0.997468i | \(-0.477343\pi\) |
0.243247 | + | 0.969964i | \(0.421788\pi\) | |||||||
\(24\) | −3.89238 | − | 4.63875i | −0.794528 | − | 0.946881i | ||||
\(25\) | −2.30714 | − | 4.43589i | −0.461428 | − | 0.887177i | ||||
\(26\) | −7.22295 | + | 12.5105i | −1.41654 | + | 2.45351i | ||||
\(27\) | −3.54972 | − | 0.951146i | −0.683145 | − | 0.183048i | ||||
\(28\) | 2.49853 | − | 5.35812i | 0.472178 | − | 1.01259i | ||||
\(29\) | 4.78022 | − | 1.73986i | 0.887665 | − | 0.323084i | 0.142366 | − | 0.989814i | \(-0.454529\pi\) |
0.745299 | + | 0.666730i | \(0.232307\pi\) | |||||||
\(30\) | −3.01529 | − | 2.64530i | −0.550513 | − | 0.482963i | ||||
\(31\) | −5.87120 | − | 3.38974i | −1.05450 | − | 0.608816i | −0.130594 | − | 0.991436i | \(-0.541688\pi\) |
−0.923906 | + | 0.382620i | \(0.875022\pi\) | |||||||
\(32\) | 11.5197 | + | 16.4518i | 2.03641 | + | 2.90829i | ||||
\(33\) | 0.0373298 | + | 0.00326594i | 0.00649829 | + | 0.000568527i | ||||
\(34\) | −0.703540 | − | 0.590341i | −0.120656 | − | 0.101243i | ||||
\(35\) | 0.688574 | − | 2.36080i | 0.116390 | − | 0.399049i | ||||
\(36\) | 12.9505 | + | 4.71361i | 2.15842 | + | 0.785602i | ||||
\(37\) | −1.21298 | + | 1.21298i | −0.199413 | + | 0.199413i | −0.799748 | − | 0.600335i | \(-0.795034\pi\) |
0.600335 | + | 0.799748i | \(0.295034\pi\) | |||||||
\(38\) | −8.60952 | − | 8.12489i | −1.39665 | − | 1.31803i | ||||
\(39\) | 3.51342i | 0.562597i | ||||||||
\(40\) | 14.1731 | + | 14.8108i | 2.24096 | + | 2.34179i | ||||
\(41\) | −2.68375 | + | 0.473218i | −0.419132 | + | 0.0739043i | −0.379237 | − | 0.925300i | \(-0.623813\pi\) |
−0.0398951 | + | 0.999204i | \(0.512702\pi\) | |||||||
\(42\) | −0.171944 | − | 1.96533i | −0.0265315 | − | 0.303257i | ||||
\(43\) | −0.775106 | + | 8.85950i | −0.118203 | + | 1.35106i | 0.673061 | + | 0.739587i | \(0.264979\pi\) |
−0.791264 | + | 0.611475i | \(0.790577\pi\) | |||||||
\(44\) | −0.300338 | − | 0.0529576i | −0.0452776 | − | 0.00798367i | ||||
\(45\) | 5.62228 | + | 1.11940i | 0.838120 | + | 0.166870i | ||||
\(46\) | −3.55948 | + | 2.05506i | −0.524816 | + | 0.303003i | ||||
\(47\) | −6.92356 | − | 3.22851i | −1.00990 | − | 0.470926i | −0.154006 | − | 0.988070i | \(-0.549218\pi\) |
−0.855899 | + | 0.517144i | \(0.826995\pi\) | |||||||
\(48\) | 8.46859 | + | 3.94897i | 1.22234 | + | 0.569984i | ||||
\(49\) | −5.01471 | + | 2.89525i | −0.716388 | + | 0.413607i | ||||
\(50\) | 10.7700 | + | 8.27032i | 1.52311 | + | 1.16960i | ||||
\(51\) | −0.219974 | − | 0.0387874i | −0.0308026 | − | 0.00543132i | ||||
\(52\) | 2.49214 | − | 28.4853i | 0.345598 | − | 3.95020i | ||||
\(53\) | −0.623266 | − | 7.12396i | −0.0856121 | − | 0.978551i | −0.910569 | − | 0.413356i | \(-0.864356\pi\) |
0.824957 | − | 0.565195i | \(-0.191199\pi\) | |||||||
\(54\) | 9.82886 | − | 1.73309i | 1.33754 | − | 0.235844i | ||||
\(55\) | −0.126825 | − | 0.00279023i | −0.0171011 | − | 0.000376235i | ||||
\(56\) | 10.0824i | 1.34732i | ||||||||
\(57\) | −2.80144 | − | 0.664359i | −0.371060 | − | 0.0879965i | ||||
\(58\) | −9.76896 | + | 9.76896i | −1.28273 | + | 1.28273i | ||||
\(59\) | −5.81577 | − | 2.11677i | −0.757149 | − | 0.275580i | −0.0655384 | − | 0.997850i | \(-0.520876\pi\) |
−0.691611 | + | 0.722270i | \(0.743099\pi\) | |||||||
\(60\) | 7.62210 | + | 2.22313i | 0.984009 | + | 0.287005i | ||||
\(61\) | −0.917954 | − | 0.770255i | −0.117532 | − | 0.0986211i | 0.582127 | − | 0.813098i | \(-0.302220\pi\) |
−0.699659 | + | 0.714477i | \(0.746665\pi\) | |||||||
\(62\) | 18.3418 | + | 1.60470i | 2.32941 | + | 0.203797i | ||||
\(63\) | 1.61720 | + | 2.30961i | 0.203749 | + | 0.290983i | ||||
\(64\) | −22.7343 | − | 13.1256i | −2.84178 | − | 1.64070i | ||||
\(65\) | −0.775764 | − | 11.8687i | −0.0962217 | − | 1.47213i | ||||
\(66\) | −0.0956310 | + | 0.0348068i | −0.0117714 | + | 0.00428442i | ||||
\(67\) | −3.34587 | + | 7.17523i | −0.408763 | + | 0.876594i | 0.588896 | + | 0.808209i | \(0.299563\pi\) |
−0.997659 | + | 0.0683857i | \(0.978215\pi\) | |||||||
\(68\) | 1.75594 | + | 0.470504i | 0.212940 | + | 0.0570570i | ||||
\(69\) | −0.499817 | + | 0.865708i | −0.0601709 | + | 0.104219i | ||||
\(70\) | 1.01479 | + | 6.60112i | 0.121291 | + | 0.788985i | ||||
\(71\) | 4.15020 | + | 4.94602i | 0.492538 | + | 0.586984i | 0.953861 | − | 0.300248i | \(-0.0970695\pi\) |
−0.461323 | + | 0.887232i | \(0.652625\pi\) | |||||||
\(72\) | −23.4139 | + | 2.04845i | −2.75936 | + | 0.241413i | ||||
\(73\) | −1.52994 | − | 1.07128i | −0.179066 | − | 0.125383i | 0.480607 | − | 0.876936i | \(-0.340416\pi\) |
−0.659673 | + | 0.751553i | \(0.729305\pi\) | |||||||
\(74\) | 1.59339 | − | 4.37781i | 0.185228 | − | 0.508910i | ||||
\(75\) | 3.27419 | + | 0.432258i | 0.378071 | + | 0.0499128i | ||||
\(76\) | 22.2417 | + | 7.37346i | 2.55129 | + | 0.845793i | ||||
\(77\) | −0.0441179 | − | 0.0441179i | −0.00502770 | − | 0.00502770i | ||||
\(78\) | −4.03254 | − | 8.64781i | −0.456595 | − | 0.979172i | ||||
\(79\) | 0.552952 | + | 3.13594i | 0.0622119 | + | 0.352821i | 0.999984 | + | 0.00557123i | \(0.00177339\pi\) |
−0.937773 | + | 0.347250i | \(0.887116\pi\) | |||||||
\(80\) | −29.4797 | − | 11.4702i | −3.29593 | − | 1.28240i | ||||
\(81\) | −4.03228 | + | 3.38348i | −0.448031 | + | 0.375942i | ||||
\(82\) | 6.06257 | − | 4.24506i | 0.669499 | − | 0.468788i | ||||
\(83\) | 0.558456 | + | 2.08419i | 0.0612986 | + | 0.228769i | 0.989778 | − | 0.142613i | \(-0.0455505\pi\) |
−0.928480 | + | 0.371383i | \(0.878884\pi\) | |||||||
\(84\) | 1.95251 | + | 3.38184i | 0.213036 | + | 0.368990i | ||||
\(85\) | 0.751660 | + | 0.0824575i | 0.0815290 | + | 0.00894377i | ||||
\(86\) | −8.26071 | − | 22.6961i | −0.890776 | − | 2.44739i | ||||
\(87\) | −0.869651 | + | 3.24558i | −0.0932364 | + | 0.347963i | ||||
\(88\) | 0.502378 | − | 0.134612i | 0.0535537 | − | 0.0143497i | ||||
\(89\) | 2.29549 | − | 13.0183i | 0.243321 | − | 1.37994i | −0.581039 | − | 0.813876i | \(-0.697354\pi\) |
0.824360 | − | 0.566066i | \(-0.191535\pi\) | |||||||
\(90\) | −15.1233 | + | 3.69776i | −1.59414 | + | 0.389778i | ||||
\(91\) | 3.76024 | − | 4.48128i | 0.394180 | − | 0.469765i | ||||
\(92\) | 4.66637 | − | 6.66426i | 0.486502 | − | 0.694797i | ||||
\(93\) | 4.05843 | − | 1.89248i | 0.420840 | − | 0.196241i | ||||
\(94\) | 20.7470 | 2.13989 | ||||||||
\(95\) | 9.61026 | + | 1.62571i | 0.985992 | + | 0.166795i | ||||
\(96\) | −13.2658 | −1.35394 | ||||||||
\(97\) | −1.52540 | + | 0.711305i | −0.154881 | + | 0.0722221i | −0.498513 | − | 0.866882i | \(-0.666120\pi\) |
0.343632 | + | 0.939104i | \(0.388343\pi\) | |||||||
\(98\) | 9.02002 | − | 12.8819i | 0.911160 | − | 1.30127i | ||||
\(99\) | 0.0934894 | − | 0.111416i | 0.00939604 | − | 0.0111978i | ||||
\(100\) | −26.2391 | − | 5.82701i | −2.62391 | − | 0.582701i | ||||
\(101\) | −1.29107 | + | 7.32203i | −0.128466 | + | 0.728569i | 0.850722 | + | 0.525616i | \(0.176165\pi\) |
−0.979188 | + | 0.202953i | \(0.934946\pi\) | |||||||
\(102\) | 0.585956 | − | 0.157006i | 0.0580183 | − | 0.0155460i | ||||
\(103\) | 1.52483 | − | 5.69076i | 0.150246 | − | 0.560727i | −0.849219 | − | 0.528040i | \(-0.822927\pi\) |
0.999466 | − | 0.0326867i | \(-0.0104064\pi\) | |||||||
\(104\) | 16.6785 | + | 45.8237i | 1.63546 | + | 4.49339i | ||||
\(105\) | 1.01648 | + | 1.26698i | 0.0991983 | + | 0.123644i | ||||
\(106\) | 9.71065 | + | 16.8193i | 0.943181 | + | 1.63364i | ||||
\(107\) | 2.83390 | + | 10.5763i | 0.273963 | + | 1.02245i | 0.956533 | + | 0.291624i | \(0.0941957\pi\) |
−0.682570 | + | 0.730821i | \(0.739138\pi\) | |||||||
\(108\) | −16.1826 | + | 11.3312i | −1.55717 | + | 1.09034i | ||||
\(109\) | −13.6104 | + | 11.4204i | −1.30364 | + | 1.09388i | −0.314131 | + | 0.949380i | \(0.601713\pi\) |
−0.989505 | + | 0.144500i | \(0.953843\pi\) | |||||||
\(110\) | 0.315366 | − | 0.138696i | 0.0300690 | − | 0.0132242i | ||||
\(111\) | −0.196755 | − | 1.11585i | −0.0186752 | − | 0.105912i | ||||
\(112\) | −6.57509 | − | 14.1003i | −0.621287 | − | 1.33235i | ||||
\(113\) | 10.5263 | + | 10.5263i | 0.990227 | + | 0.990227i | 0.999953 | − | 0.00972576i | \(-0.00309585\pi\) |
−0.00972576 | + | 0.999953i | \(0.503096\pi\) | |||||||
\(114\) | 7.65790 | − | 1.58014i | 0.717228 | − | 0.147994i | ||||
\(115\) | 1.49728 | − | 3.03481i | 0.139623 | − | 0.282998i | ||||
\(116\) | 9.35291 | − | 25.6969i | 0.868396 | − | 2.38590i | ||||
\(117\) | 11.1706 | + | 7.82176i | 1.03272 | + | 0.723122i | ||||
\(118\) | 16.7443 | − | 1.46494i | 1.54144 | − | 0.134858i | ||||
\(119\) | 0.239059 | + | 0.284900i | 0.0219145 | + | 0.0261167i | ||||
\(120\) | −13.3832 | + | 2.05740i | −1.22171 | + | 0.187814i | ||||
\(121\) | 5.49839 | − | 9.52349i | 0.499854 | − | 0.865772i | ||||
\(122\) | 3.14349 | + | 0.842295i | 0.284598 | + | 0.0762578i | ||||
\(123\) | 0.760722 | − | 1.63137i | 0.0685920 | − | 0.147096i | ||||
\(124\) | −34.2464 | + | 12.4647i | −3.07542 | + | 1.11936i | ||||
\(125\) | −11.1560 | − | 0.737269i | −0.997823 | − | 0.0659433i | ||||
\(126\) | −6.63139 | − | 3.82864i | −0.590772 | − | 0.341082i | ||||
\(127\) | −3.13191 | − | 4.47283i | −0.277912 | − | 0.396899i | 0.655794 | − | 0.754940i | \(-0.272334\pi\) |
−0.933706 | + | 0.358040i | \(0.883445\pi\) | |||||||
\(128\) | 31.0074 | + | 2.71280i | 2.74069 | + | 0.239780i | ||||
\(129\) | −4.49992 | − | 3.77589i | −0.396196 | − | 0.332448i | ||||
\(130\) | 15.5318 | + | 28.3228i | 1.36223 | + | 2.48408i | ||||
\(131\) | −4.92980 | − | 1.79430i | −0.430719 | − | 0.156769i | 0.117558 | − | 0.993066i | \(-0.462494\pi\) |
−0.548276 | + | 0.836297i | \(0.684716\pi\) | |||||||
\(132\) | 0.142439 | − | 0.142439i | 0.0123977 | − | 0.0123977i | ||||
\(133\) | 2.86214 | + | 3.84562i | 0.248179 | + | 0.333457i | ||||
\(134\) | − | 21.5011i | − | 1.85741i | ||||||
\(135\) | −5.93700 | + | 5.68139i | −0.510976 | + | 0.488976i | ||||
\(136\) | −3.05314 | + | 0.538351i | −0.261805 | + | 0.0461632i | ||||
\(137\) | −0.763133 | − | 8.72265i | −0.0651989 | − | 0.745226i | −0.956484 | − | 0.291784i | \(-0.905751\pi\) |
0.891285 | − | 0.453443i | \(-0.149804\pi\) | |||||||
\(138\) | 0.236613 | − | 2.70449i | 0.0201418 | − | 0.230222i | ||||
\(139\) | 11.1570 | + | 1.96728i | 0.946323 | + | 0.166862i | 0.625454 | − | 0.780261i | \(-0.284914\pi\) |
0.320869 | + | 0.947123i | \(0.396025\pi\) | |||||||
\(140\) | −7.34249 | − | 10.9931i | −0.620554 | − | 0.929087i | ||||
\(141\) | 4.36989 | − | 2.52296i | 0.368011 | − | 0.212471i | ||||
\(142\) | −15.8920 | − | 7.41055i | −1.33363 | − | 0.621880i | ||||
\(143\) | −0.273492 | − | 0.127532i | −0.0228706 | − | 0.0106647i | ||||
\(144\) | 31.4086 | − | 18.1338i | 2.61739 | − | 1.51115i | ||||
\(145\) | 2.22115 | − | 11.1559i | 0.184456 | − | 0.926450i | ||||
\(146\) | 4.99531 | + | 0.880808i | 0.413415 | + | 0.0728962i | ||||
\(147\) | 0.333348 | − | 3.81018i | 0.0274941 | − | 0.314259i | ||||
\(148\) | 0.803709 | + | 9.18643i | 0.0660644 | + | 0.755120i | ||||
\(149\) | −7.05432 | + | 1.24387i | −0.577913 | + | 0.101902i | −0.454961 | − | 0.890511i | \(-0.650347\pi\) |
−0.122951 | + | 0.992413i | \(0.539236\pi\) | |||||||
\(150\) | −8.55512 | + | 2.69402i | −0.698522 | + | 0.219966i | ||||
\(151\) | − | 7.53494i | − | 0.613185i | −0.951841 | − | 0.306592i | \(-0.900811\pi\) | ||
0.951841 | − | 0.306592i | \(-0.0991888\pi\) | |||||||
\(152\) | −39.6916 | + | 4.63378i | −3.21941 | + | 0.375849i | ||||
\(153\) | −0.613040 | + | 0.613040i | −0.0495613 | + | 0.0495613i | ||||
\(154\) | 0.159227 | + | 0.0579538i | 0.0128309 | + | 0.00467005i | ||||
\(155\) | −13.2920 | + | 7.28910i | −1.06764 | + | 0.585474i | ||||
\(156\) | 14.4683 | + | 12.1403i | 1.15839 | + | 0.972003i | ||||
\(157\) | 10.4062 | + | 0.910428i | 0.830508 | + | 0.0726601i | 0.494477 | − | 0.869191i | \(-0.335360\pi\) |
0.336031 | + | 0.941851i | \(0.390915\pi\) | |||||||
\(158\) | −4.96031 | − | 7.08406i | −0.394621 | − | 0.563578i | ||||
\(159\) | 4.09067 | + | 2.36175i | 0.324411 | + | 0.187299i | ||||
\(160\) | 44.8134 | − | 2.92910i | 3.54281 | − | 0.231566i | ||||
\(161\) | 1.56403 | − | 0.569260i | 0.123263 | − | 0.0448640i | ||||
\(162\) | 6.04151 | − | 12.9561i | 0.474666 | − | 1.01792i | ||||
\(163\) | −18.5404 | − | 4.96787i | −1.45219 | − | 0.389114i | −0.555407 | − | 0.831579i | \(-0.687437\pi\) |
−0.896786 | + | 0.442465i | \(0.854104\pi\) | |||||||
\(164\) | −7.32477 | + | 12.6869i | −0.571969 | + | 0.990679i | ||||
\(165\) | 0.0495586 | − | 0.0675638i | 0.00385813 | − | 0.00525983i | ||||
\(166\) | −3.76670 | − | 4.48898i | −0.292353 | − | 0.348413i | ||||
\(167\) | −8.38975 | + | 0.734008i | −0.649218 | + | 0.0567992i | −0.407008 | − | 0.913425i | \(-0.633428\pi\) |
−0.242210 | + | 0.970224i | \(0.577872\pi\) | |||||||
\(168\) | −5.45526 | − | 3.81982i | −0.420883 | − | 0.294705i | ||||
\(169\) | 5.23070 | − | 14.3712i | 0.402361 | − | 1.10548i | ||||
\(170\) | −1.94475 | + | 0.659764i | −0.149156 | + | 0.0506016i | ||||
\(171\) | −8.34899 | + | 7.42793i | −0.638464 | + | 0.568028i | ||||
\(172\) | 33.8051 | + | 33.8051i | 2.57762 | + | 2.57762i | ||||
\(173\) | 2.34141 | + | 5.02117i | 0.178014 | + | 0.381753i | 0.974987 | − | 0.222263i | \(-0.0713443\pi\) |
−0.796973 | + | 0.604015i | \(0.793567\pi\) | |||||||
\(174\) | −1.58460 | − | 8.98671i | −0.120128 | − | 0.681281i | ||||
\(175\) | −3.71352 | − | 4.05554i | −0.280716 | − | 0.306570i | ||||
\(176\) | −0.614793 | + | 0.515872i | −0.0463417 | + | 0.0388853i | ||||
\(177\) | 3.34867 | − | 2.34476i | 0.251702 | − | 0.176243i | ||||
\(178\) | 9.29183 | + | 34.6776i | 0.696452 | + | 2.59920i | ||||
\(179\) | −2.17359 | − | 3.76476i | −0.162461 | − | 0.281391i | 0.773289 | − | 0.634053i | \(-0.218610\pi\) |
−0.935751 | + | 0.352662i | \(0.885277\pi\) | |||||||
\(180\) | 24.0370 | − | 19.2846i | 1.79161 | − | 1.43739i | ||||
\(181\) | 2.79502 | + | 7.67925i | 0.207752 | + | 0.570794i | 0.999181 | − | 0.0404674i | \(-0.0128847\pi\) |
−0.791429 | + | 0.611261i | \(0.790662\pi\) | |||||||
\(182\) | −4.11192 | + | 15.3459i | −0.304796 | + | 1.13751i | ||||
\(183\) | 0.764535 | − | 0.204856i | 0.0565160 | − | 0.0151434i | ||||
\(184\) | −2.40927 | + | 13.6637i | −0.177614 | + | 1.00730i | ||||
\(185\) | 0.911041 | + | 3.72603i | 0.0669811 | + | 0.273943i | ||||
\(186\) | −7.81720 | + | 9.31617i | −0.573185 | + | 0.683095i | ||||
\(187\) | 0.0110040 | − | 0.0157154i | 0.000804693 | − | 0.00114922i | ||||
\(188\) | −37.2188 | + | 17.3554i | −2.71446 | + | 1.26577i | ||||
\(189\) | −4.04162 | −0.293984 | ||||||||
\(190\) | −25.5203 | + | 7.02874i | −1.85144 | + | 0.509918i | ||||
\(191\) | 0.00222991 | 0.000161351 | 8.06753e−5 | − | 1.00000i | \(-0.499974\pi\) | ||||
8.06753e−5 | 1.00000i | \(0.499974\pi\) | ||||||||
\(192\) | 15.7149 | − | 7.32799i | 1.13413 | − | 0.528852i | ||||
\(193\) | −9.80519 | + | 14.0033i | −0.705793 | + | 1.00798i | 0.292864 | + | 0.956154i | \(0.405392\pi\) |
−0.998656 | + | 0.0518222i | \(0.983497\pi\) | |||||||
\(194\) | 2.93816 | − | 3.50157i | 0.210948 | − | 0.251398i | ||||
\(195\) | 6.71566 | + | 4.07682i | 0.480918 | + | 0.291947i | ||||
\(196\) | −5.40528 | + | 30.6549i | −0.386092 | + | 2.18964i | ||||
\(197\) | 12.3964 | − | 3.32160i | 0.883206 | − | 0.236654i | 0.211416 | − | 0.977396i | \(-0.432192\pi\) |
0.671790 | + | 0.740742i | \(0.265526\pi\) | |||||||
\(198\) | −0.102233 | + | 0.381540i | −0.00726540 | + | 0.0271148i | ||||
\(199\) | −4.52720 | − | 12.4384i | −0.320925 | − | 0.881733i | −0.990317 | − | 0.138824i | \(-0.955668\pi\) |
0.669392 | − | 0.742909i | \(-0.266555\pi\) | |||||||
\(200\) | 44.7556 | − | 9.90513i | 3.16470 | − | 0.700398i | ||||
\(201\) | −2.61467 | − | 4.52874i | −0.184424 | − | 0.319433i | ||||
\(202\) | −5.22609 | − | 19.5040i | −0.367707 | − | 1.37230i | ||||
\(203\) | 4.58280 | − | 3.20891i | 0.321650 | − | 0.225221i | ||||
\(204\) | −0.919829 | + | 0.771828i | −0.0644009 | + | 0.0540388i | ||||
\(205\) | −2.20959 | + | 5.67892i | −0.154324 | + | 0.396633i | ||||
\(206\) | 2.77842 | + | 15.7572i | 0.193581 | + | 1.09786i | ||||
\(207\) | 1.63973 | + | 3.51641i | 0.113969 | + | 0.244408i | ||||
\(208\) | −53.2081 | − | 53.2081i | −3.68932 | − | 3.68932i | ||||
\(209\) | 0.153403 | − | 0.193955i | 0.0106111 | − | 0.0134162i | ||||
\(210\) | −3.95611 | − | 1.95182i | −0.272997 | − | 0.134689i | ||||
\(211\) | 9.32616 | − | 25.6234i | 0.642039 | − | 1.76399i | −0.00318404 | − | 0.999995i | \(-0.501014\pi\) |
0.645223 | − | 0.763994i | \(-0.276764\pi\) | |||||||
\(212\) | −31.4901 | − | 22.0496i | −2.16275 | − | 1.51437i | ||||
\(213\) | −4.24847 | + | 0.371693i | −0.291100 | + | 0.0254680i | ||||
\(214\) | −19.1142 | − | 22.7794i | −1.30662 | − | 1.55717i | ||||
\(215\) | 16.0349 | + | 11.7617i | 1.09357 | + | 0.802145i | ||||
\(216\) | 16.8454 | − | 29.1771i | 1.14619 | − | 1.98525i | ||||
\(217\) | −7.20186 | − | 1.92973i | −0.488894 | − | 0.130999i | ||||
\(218\) | 20.3922 | − | 43.7313i | 1.38114 | − | 2.96185i | ||||
\(219\) | 1.15926 | − | 0.421938i | 0.0783358 | − | 0.0285119i | ||||
\(220\) | −0.449724 | + | 0.512625i | −0.0303204 | + | 0.0345612i | ||||
\(221\) | 1.55779 | + | 0.899390i | 0.104788 | + | 0.0604995i | ||||
\(222\) | 1.76501 | + | 2.52070i | 0.118460 | + | 0.169178i | ||||
\(223\) | 11.7255 | + | 1.02585i | 0.785199 | + | 0.0686960i | 0.472701 | − | 0.881223i | \(-0.343279\pi\) |
0.312497 | + | 0.949919i | \(0.398834\pi\) | |||||||
\(224\) | 16.9202 | + | 14.1978i | 1.13053 | + | 0.948628i | ||||
\(225\) | 8.66351 | − | 9.44771i | 0.577567 | − | 0.629847i | ||||
\(226\) | −37.9905 | − | 13.8274i | −2.52709 | − | 0.919787i | ||||
\(227\) | 9.52453 | − | 9.52453i | 0.632165 | − | 0.632165i | −0.316445 | − | 0.948611i | \(-0.602489\pi\) |
0.948611 | + | 0.316445i | \(0.102489\pi\) | |||||||
\(228\) | −12.4160 | + | 9.24072i | −0.822268 | + | 0.611981i | ||||
\(229\) | − | 1.76078i | − | 0.116356i | −0.998306 | − | 0.0581779i | \(-0.981471\pi\) | ||
0.998306 | − | 0.0581779i | \(-0.0185291\pi\) | |||||||
\(230\) | −0.202148 | + | 9.18831i | −0.0133293 | + | 0.605859i | ||||
\(231\) | 0.0405852 | − | 0.00715626i | 0.00267031 | − | 0.000470847i | ||||
\(232\) | 4.06462 | + | 46.4588i | 0.266855 | + | 3.05017i | ||||
\(233\) | −0.796864 | + | 9.10820i | −0.0522043 | + | 0.596698i | 0.924367 | + | 0.381504i | \(0.124594\pi\) |
−0.976571 | + | 0.215194i | \(0.930962\pi\) | |||||||
\(234\) | −36.4725 | − | 6.43108i | −2.38428 | − | 0.420413i | ||||
\(235\) | −14.2049 | + | 9.48769i | −0.926624 | + | 0.618908i | ||||
\(236\) | −28.8128 | + | 16.6351i | −1.87555 | + | 1.08285i | ||||
\(237\) | −1.90625 | − | 0.888897i | −0.123824 | − | 0.0577401i | ||||
\(238\) | −0.915408 | − | 0.426862i | −0.0593371 | − | 0.0276694i | ||||
\(239\) | −15.0401 | + | 8.68339i | −0.972861 | + | 0.561682i | −0.900107 | − | 0.435668i | \(-0.856512\pi\) |
−0.0727537 | + | 0.997350i | \(0.523179\pi\) | |||||||
\(240\) | 17.3748 | − | 11.6049i | 1.12154 | − | 0.749094i | ||||
\(241\) | −6.90516 | − | 1.21757i | −0.444800 | − | 0.0784303i | −0.0532380 | − | 0.998582i | \(-0.516954\pi\) |
−0.391562 | + | 0.920152i | \(0.628065\pi\) | |||||||
\(242\) | −2.60293 | + | 29.7516i | −0.167323 | + | 1.91251i | ||||
\(243\) | −1.26390 | − | 14.4465i | −0.0810794 | − | 0.926742i | ||||
\(244\) | −6.34383 | + | 1.11859i | −0.406122 | + | 0.0716103i | ||||
\(245\) | −0.284794 | + | 12.9448i | −0.0181948 | + | 0.827013i | ||||
\(246\) | 4.88853i | 0.311681i | ||||||||
\(247\) | 19.3696 | + | 12.7434i | 1.23246 | + | 0.810843i | ||||
\(248\) | 43.9484 | − | 43.9484i | 2.79072 | − | 2.79072i | ||||
\(249\) | −1.33926 | − | 0.487451i | −0.0848722 | − | 0.0308910i | ||||
\(250\) | 28.3052 | − | 10.9897i | 1.79018 | − | 0.695047i | ||||
\(251\) | 20.1710 | + | 16.9254i | 1.27318 | + | 1.06832i | 0.994146 | + | 0.108043i | \(0.0344585\pi\) |
0.279034 | + | 0.960281i | \(0.409986\pi\) | |||||||
\(252\) | 15.0991 | + | 1.32100i | 0.951153 | + | 0.0832151i | ||||
\(253\) | −0.0492461 | − | 0.0703307i | −0.00309607 | − | 0.00442165i | ||||
\(254\) | 12.8425 | + | 7.41462i | 0.805810 | + | 0.465234i | ||||
\(255\) | −0.329388 | + | 0.375459i | −0.0206271 | + | 0.0235121i | ||||
\(256\) | −30.0980 | + | 10.9548i | −1.88113 | + | 0.684674i | ||||
\(257\) | 7.01710 | − | 15.0482i | 0.437714 | − | 0.938682i | −0.556458 | − | 0.830876i | \(-0.687840\pi\) |
0.994172 | − | 0.107806i | \(-0.0343824\pi\) | |||||||
\(258\) | 15.4098 | + | 4.12903i | 0.959370 | + | 0.257062i | ||||
\(259\) | −0.943287 | + | 1.63382i | −0.0586130 | + | 0.101521i | ||||
\(260\) | −51.5559 | − | 37.8167i | −3.19736 | − | 2.34529i | ||||
\(261\) | 8.38300 | + | 9.99047i | 0.518895 | + | 0.618394i | ||||
\(262\) | 14.1935 | − | 1.24177i | 0.876875 | − | 0.0767166i | ||||
\(263\) | −11.6641 | − | 8.16726i | −0.719237 | − | 0.503615i | 0.155729 | − | 0.987800i | \(-0.450227\pi\) |
−0.874966 | + | 0.484185i | \(0.839116\pi\) | |||||||
\(264\) | −0.117496 | + | 0.322819i | −0.00723140 | + | 0.0198681i | ||||
\(265\) | −14.3402 | − | 7.07501i | −0.880910 | − | 0.434614i | ||||
\(266\) | −11.4586 | − | 6.18045i | −0.702572 | − | 0.378947i | ||||
\(267\) | 6.17413 | + | 6.17413i | 0.377850 | + | 0.377850i | ||||
\(268\) | 17.9863 | + | 38.5717i | 1.09869 | + | 2.35614i | ||||
\(269\) | 3.01835 | + | 17.1179i | 0.184032 | + | 1.04370i | 0.927192 | + | 0.374585i | \(0.122215\pi\) |
−0.743160 | + | 0.669114i | \(0.766674\pi\) | |||||||
\(270\) | 8.09230 | − | 20.7982i | 0.492482 | − | 1.26574i | ||||
\(271\) | 12.7715 | − | 10.7165i | 0.775812 | − | 0.650984i | −0.166378 | − | 0.986062i | \(-0.553207\pi\) |
0.942190 | + | 0.335078i | \(0.108763\pi\) | |||||||
\(272\) | 3.91875 | − | 2.74394i | 0.237609 | − | 0.166376i | ||||
\(273\) | 1.00007 | + | 3.73231i | 0.0605270 | + | 0.225890i | ||||
\(274\) | 11.8898 | + | 20.5938i | 0.718290 | + | 1.24411i | ||||
\(275\) | −0.152496 | + | 0.239180i | −0.00919585 | + | 0.0144231i | ||||
\(276\) | 1.83791 | + | 5.04963i | 0.110629 | + | 0.303952i | ||||
\(277\) | −1.81234 | + | 6.76374i | −0.108893 | + | 0.406394i | −0.998758 | − | 0.0498306i | \(-0.984132\pi\) |
0.889865 | + | 0.456224i | \(0.150799\pi\) | |||||||
\(278\) | −29.7194 | + | 7.96329i | −1.78245 | + | 0.477606i | ||||
\(279\) | 3.01812 | − | 17.1166i | 0.180690 | − | 1.02474i | ||||
\(280\) | 19.2719 | + | 11.6992i | 1.15171 | + | 0.699162i | ||||
\(281\) | −8.31169 | + | 9.90549i | −0.495834 | + | 0.590912i | −0.954691 | − | 0.297598i | \(-0.903814\pi\) |
0.458857 | + | 0.888510i | \(0.348259\pi\) | |||||||
\(282\) | −7.86017 | + | 11.2255i | −0.468066 | + | 0.668468i | ||||
\(283\) | 27.1358 | − | 12.6536i | 1.61306 | − | 0.752181i | 0.613753 | − | 0.789498i | \(-0.289659\pi\) |
0.999303 | + | 0.0373174i | \(0.0118813\pi\) | |||||||
\(284\) | 34.7084 | 2.05956 | ||||||||
\(285\) | −4.52055 | + | 4.58387i | −0.267774 | + | 0.271525i | ||||
\(286\) | 0.819540 | 0.0484604 | ||||||||
\(287\) | −2.71626 | + | 1.26661i | −0.160336 | + | 0.0747658i | ||||
\(288\) | −29.5331 | + | 42.1776i | −1.74025 | + | 2.48534i | ||||
\(289\) | 10.8539 | − | 12.9352i | 0.638464 | − | 0.760891i | ||||
\(290\) | 7.33722 | + | 30.0082i | 0.430856 | + | 1.76214i | ||||
\(291\) | 0.193047 | − | 1.09483i | 0.0113166 | − | 0.0641799i | ||||
\(292\) | −9.69810 | + | 2.59860i | −0.567538 | + | 0.152071i | ||||
\(293\) | 0.260812 | − | 0.973364i | 0.0152368 | − | 0.0568646i | −0.957889 | − | 0.287139i | \(-0.907296\pi\) |
0.973126 | + | 0.230275i | \(0.0739624\pi\) | |||||||
\(294\) | 3.55267 | + | 9.76087i | 0.207196 | + | 0.569265i | ||||
\(295\) | −10.7944 | + | 8.66025i | −0.628476 | + | 0.504219i | ||||
\(296\) | −7.86323 | − | 13.6195i | −0.457041 | − | 0.791618i | ||||
\(297\) | 0.0539601 | + | 0.201382i | 0.00313108 | + | 0.0116854i | ||||
\(298\) | 15.9356 | − | 11.1582i | 0.923126 | − | 0.646380i | ||||
\(299\) | 6.16669 | − | 5.17447i | 0.356629 | − | 0.299247i | ||||
\(300\) | 13.0937 | − | 11.9895i | 0.755967 | − | 0.692214i | ||||
\(301\) | 1.69840 | + | 9.63209i | 0.0978940 | + | 0.555185i | ||||
\(302\) | 8.64826 | + | 18.5463i | 0.497651 | + | 1.06722i | ||||
\(303\) | −3.47257 | − | 3.47257i | −0.199494 | − | 0.199494i | ||||
\(304\) | 52.4870 | − | 32.3645i | 3.01033 | − | 1.85623i | ||||
\(305\) | −2.53745 | + | 0.860836i | −0.145294 | + | 0.0492913i | ||||
\(306\) | 0.805297 | − | 2.21254i | 0.0460358 | − | 0.126482i | ||||
\(307\) | −15.7815 | − | 11.0503i | −0.900696 | − | 0.630674i | 0.0287684 | − | 0.999586i | \(-0.490841\pi\) |
−0.929464 | + | 0.368912i | \(0.879730\pi\) | |||||||
\(308\) | −0.334123 | + | 0.0292320i | −0.0190384 | + | 0.00166565i | ||||
\(309\) | 2.50138 | + | 2.98103i | 0.142299 | + | 0.169585i | ||||
\(310\) | 24.3503 | − | 33.1970i | 1.38300 | − | 1.88547i | ||||
\(311\) | 7.85674 | − | 13.6083i | 0.445515 | − | 0.771655i | −0.552573 | − | 0.833465i | \(-0.686354\pi\) |
0.998088 | + | 0.0618098i | \(0.0196872\pi\) | |||||||
\(312\) | −31.1125 | − | 8.33656i | −1.76140 | − | 0.471965i | ||||
\(313\) | −9.85042 | + | 21.1243i | −0.556779 | + | 1.19402i | 0.403501 | + | 0.914979i | \(0.367793\pi\) |
−0.960280 | + | 0.279037i | \(0.909985\pi\) | |||||||
\(314\) | −26.6585 | + | 9.70291i | −1.50443 | + | 0.547567i | ||||
\(315\) | 6.29119 | − | 0.411206i | 0.354468 | − | 0.0231688i | ||||
\(316\) | 14.8245 | + | 8.55893i | 0.833944 | + | 0.481478i | ||||
\(317\) | 10.4773 | + | 14.9632i | 0.588465 | + | 0.840415i | 0.997394 | − | 0.0721514i | \(-0.0229865\pi\) |
−0.408929 | + | 0.912566i | \(0.634098\pi\) | |||||||
\(318\) | −12.7793 | − | 1.11805i | −0.716630 | − | 0.0626970i | ||||
\(319\) | −0.221076 | − | 0.185505i | −0.0123779 | − | 0.0103863i | ||||
\(320\) | −51.4686 | + | 28.2246i | −2.87718 | + | 1.57780i | ||||
\(321\) | −6.79611 | − | 2.47358i | −0.379322 | − | 0.138062i | ||||
\(322\) | −3.19628 | + | 3.19628i | −0.178122 | + | 0.178122i | ||||
\(323\) | −1.01170 | + | 1.07204i | −0.0562924 | + | 0.0596501i | ||||
\(324\) | 28.2963i | 1.57201i | ||||||||
\(325\) | −23.5864 | − | 12.2891i | −1.30834 | − | 0.681677i | ||||
\(326\) | 51.3365 | − | 9.05201i | 2.84327 | − | 0.501345i | ||||
\(327\) | −1.02282 | − | 11.6908i | −0.0565619 | − | 0.646505i | ||||
\(328\) | 2.17745 | − | 24.8884i | 0.120230 | − | 1.37423i | ||||
\(329\) | −8.27388 | − | 1.45891i | −0.456154 | − | 0.0804322i | ||||
\(330\) | −0.0444352 | + | 0.223180i | −0.00244608 | + | 0.0122857i | ||||
\(331\) | 14.4168 | − | 8.32352i | 0.792417 | − | 0.457502i | −0.0483958 | − | 0.998828i | \(-0.515411\pi\) |
0.840813 | + | 0.541326i | \(0.182078\pi\) | |||||||
\(332\) | 10.5124 | + | 4.90201i | 0.576942 | + | 0.269033i | ||||
\(333\) | −3.98579 | − | 1.85861i | −0.218420 | − | 0.101851i | ||||
\(334\) | 19.8078 | − | 11.4360i | 1.08383 | − | 0.625752i | ||||
\(335\) | 9.83257 | + | 14.7212i | 0.537211 | + | 0.804307i | ||||
\(336\) | 10.1202 | + | 1.78447i | 0.552104 | + | 0.0973509i | ||||
\(337\) | 0.672016 | − | 7.68118i | 0.0366071 | − | 0.418421i | −0.955675 | − | 0.294422i | \(-0.904873\pi\) |
0.992282 | − | 0.123998i | \(-0.0395717\pi\) | |||||||
\(338\) | 3.61997 | + | 41.3764i | 0.196900 | + | 2.25058i | ||||
\(339\) | −9.68337 | + | 1.70744i | −0.525929 | + | 0.0927354i | ||||
\(340\) | 2.93686 | − | 2.81042i | 0.159274 | − | 0.152416i | ||||
\(341\) | 0.384612i | 0.0208279i | ||||||||
\(342\) | 12.0245 | − | 27.8655i | 0.650211 | − | 1.50679i | ||||
\(343\) | −9.94664 | + | 9.94664i | −0.537068 | + | 0.537068i | ||||
\(344\) | −76.6147 | − | 27.8855i | −4.13079 | − | 1.50348i | ||||
\(345\) | 1.07478 | + | 1.95990i | 0.0578640 | + | 0.105517i | ||||
\(346\) | −11.5261 | − | 9.67159i | −0.619650 | − | 0.519948i | ||||
\(347\) | −27.9964 | − | 2.44937i | −1.50292 | − | 0.131489i | −0.694245 | − | 0.719739i | \(-0.744262\pi\) |
−0.808679 | + | 0.588250i | \(0.799817\pi\) | |||||||
\(348\) | 10.3603 | + | 14.7961i | 0.555371 | + | 0.793152i | ||||
\(349\) | 4.32023 | + | 2.49429i | 0.231257 | + | 0.133516i | 0.611152 | − | 0.791514i | \(-0.290707\pi\) |
−0.379895 | + | 0.925030i | \(0.624040\pi\) | |||||||
\(350\) | 13.7951 | + | 5.71996i | 0.737380 | + | 0.305745i | ||||
\(351\) | −18.3688 | + | 6.68569i | −0.980453 | + | 0.356856i | ||||
\(352\) | 0.481529 | − | 1.03264i | 0.0256656 | − | 0.0550400i | ||||
\(353\) | −4.61752 | − | 1.23726i | −0.245766 | − | 0.0658528i | 0.133833 | − | 0.991004i | \(-0.457271\pi\) |
−0.379599 | + | 0.925151i | \(0.623938\pi\) | |||||||
\(354\) | −5.55110 | + | 9.61478i | −0.295037 | + | 0.511020i | ||||
\(355\) | 14.2697 | − | 2.19368i | 0.757356 | − | 0.116428i | ||||
\(356\) | −45.6777 | − | 54.4366i | −2.42092 | − | 2.88513i | ||||
\(357\) | −0.244720 | + | 0.0214102i | −0.0129519 | + | 0.00113315i | ||||
\(358\) | 9.67101 | + | 6.77172i | 0.511129 | + | 0.357896i | ||||
\(359\) | 6.95669 | − | 19.1134i | 0.367160 | − | 1.00876i | −0.609276 | − | 0.792958i | \(-0.708540\pi\) |
0.976436 | − | 0.215806i | \(-0.0692379\pi\) | |||||||
\(360\) | −23.2531 | + | 47.1311i | −1.22554 | + | 2.48403i | ||||
\(361\) | −13.8237 | + | 13.0348i | −0.727561 | + | 0.686043i | ||||
\(362\) | −15.6935 | − | 15.6935i | −0.824830 | − | 0.824830i | ||||
\(363\) | 3.06973 | + | 6.58306i | 0.161119 | + | 0.345521i | ||||
\(364\) | −5.46073 | − | 30.9693i | −0.286220 | − | 1.62323i | ||||
\(365\) | −3.82295 | + | 1.68131i | −0.200102 | + | 0.0880040i | ||||
\(366\) | −1.64668 | + | 1.38173i | −0.0860731 | + | 0.0722239i | ||||
\(367\) | −19.0491 | + | 13.3384i | −0.994357 | + | 0.696256i | −0.953026 | − | 0.302889i | \(-0.902049\pi\) |
−0.0413313 | + | 0.999145i | \(0.513160\pi\) | |||||||
\(368\) | −5.54115 | − | 20.6799i | −0.288852 | − | 1.07801i | ||||
\(369\) | −3.49326 | − | 6.05050i | −0.181852 | − | 0.314976i | ||||
\(370\) | −6.51897 | − | 8.12548i | −0.338905 | − | 0.422423i | ||||
\(371\) | −2.68988 | − | 7.39039i | −0.139652 | − | 0.383690i | ||||
\(372\) | 6.23034 | − | 23.2519i | 0.323028 | − | 1.20556i | ||||
\(373\) | 3.99297 | − | 1.06991i | 0.206748 | − | 0.0553980i | −0.153959 | − | 0.988077i | \(-0.549202\pi\) |
0.360707 | + | 0.932679i | \(0.382536\pi\) | |||||||
\(374\) | −0.00904755 | + | 0.0513112i | −0.000467838 | + | 0.00265324i | ||||
\(375\) | 4.62546 | − | 5.75682i | 0.238858 | − | 0.297281i | ||||
\(376\) | 45.0176 | − | 53.6499i | 2.32160 | − | 2.76678i | ||||
\(377\) | 15.5202 | − | 22.1651i | 0.799331 | − | 1.14156i | ||||
\(378\) | 9.94790 | − | 4.63878i | 0.511665 | − | 0.238593i | ||||
\(379\) | 10.0723 | 0.517382 | 0.258691 | − | 0.965960i | \(-0.416709\pi\) | ||||
0.258691 | + | 0.965960i | \(0.416709\pi\) | |||||||
\(380\) | 39.9021 | − | 33.9576i | 2.04694 | − | 1.74199i | ||||
\(381\) | 3.60665 | 0.184774 | ||||||||
\(382\) | −0.00548862 | + | 0.00255939i | −0.000280822 | + | 0.000130950i | ||||
\(383\) | 5.48402 | − | 7.83199i | 0.280220 | − | 0.400196i | −0.654227 | − | 0.756299i | \(-0.727006\pi\) |
0.934447 | + | 0.356103i | \(0.115895\pi\) | |||||||
\(384\) | −13.2152 | + | 15.7493i | −0.674387 | + | 0.803703i | ||||
\(385\) | −0.135521 | + | 0.0331358i | −0.00690678 | + | 0.00168876i | ||||
\(386\) | 8.06187 | − | 45.7211i | 0.410338 | − | 2.32714i | ||||
\(387\) | −22.0231 | + | 5.90107i | −1.11950 | + | 0.299968i | ||||
\(388\) | −2.34173 | + | 8.73945i | −0.118883 | + | 0.443678i | ||||
\(389\) | 12.1465 | + | 33.3722i | 0.615852 | + | 1.69204i | 0.716916 | + | 0.697160i | \(0.245553\pi\) |
−0.101064 | + | 0.994880i | \(0.532225\pi\) | |||||||
\(390\) | −21.2089 | − | 2.32663i | −1.07395 | − | 0.117813i | ||||
\(391\) | 0.255893 | + | 0.443220i | 0.0129411 | + | 0.0224146i | ||||
\(392\) | −13.7396 | − | 51.2767i | −0.693953 | − | 2.58987i | ||||
\(393\) | 2.83853 | − | 1.98756i | 0.143185 | − | 0.100259i | ||||
\(394\) | −26.6997 | + | 22.4037i | −1.34511 | + | 1.12868i | ||||
\(395\) | 6.63576 | + | 2.58189i | 0.333882 | + | 0.129909i | ||||
\(396\) | −0.135768 | − | 0.769980i | −0.00682261 | − | 0.0386929i | ||||
\(397\) | 5.24990 | + | 11.2585i | 0.263485 | + | 0.565046i | 0.992890 | − | 0.119037i | \(-0.0379806\pi\) |
−0.729405 | + | 0.684082i | \(0.760203\pi\) | |||||||
\(398\) | 25.4193 | + | 25.4193i | 1.27415 | + | 1.27415i | ||||
\(399\) | −3.16508 | + | 0.0916615i | −0.158452 | + | 0.00458881i | ||||
\(400\) | −56.1314 | + | 43.0390i | −2.80657 | + | 2.15195i | ||||
\(401\) | −8.13235 | + | 22.3435i | −0.406110 | + | 1.11578i | 0.553107 | + | 0.833110i | \(0.313442\pi\) |
−0.959218 | + | 0.282669i | \(0.908780\pi\) | |||||||
\(402\) | 11.6335 | + | 8.14589i | 0.580228 | + | 0.406280i | ||||
\(403\) | −35.9240 | + | 3.14294i | −1.78950 | + | 0.156561i | ||||
\(404\) | 25.6910 | + | 30.6173i | 1.27817 | + | 1.52327i | ||||
\(405\) | 1.78841 | + | 11.6335i | 0.0888669 | + | 0.578072i | ||||
\(406\) | −7.59692 | + | 13.1582i | −0.377029 | + | 0.653033i | ||||
\(407\) | 0.0940025 | + | 0.0251879i | 0.00465953 | + | 0.00124852i | ||||
\(408\) | 0.865426 | − | 1.85591i | 0.0428450 | − | 0.0918813i | ||||
\(409\) | −0.681493 | + | 0.248043i | −0.0336976 | + | 0.0122649i | −0.358814 | − | 0.933409i | \(-0.616819\pi\) |
0.325116 | + | 0.945674i | \(0.394597\pi\) | |||||||
\(410\) | −1.07939 | − | 16.5140i | −0.0533073 | − | 0.815567i | ||||
\(411\) | 5.00866 | + | 2.89175i | 0.247059 | + | 0.142639i | ||||
\(412\) | −18.1656 | − | 25.9432i | −0.894956 | − | 1.27813i | ||||
\(413\) | −6.78063 | − | 0.593228i | −0.333653 | − | 0.0291909i | ||||
\(414\) | −8.07196 | − | 6.77318i | −0.396715 | − | 0.332883i | ||||
\(415\) | 4.63179 | + | 1.35095i | 0.227366 | + | 0.0663156i | ||||
\(416\) | 100.387 | + | 36.5379i | 4.92188 | + | 1.79142i | ||||
\(417\) | −5.29135 | + | 5.29135i | −0.259119 | + | 0.259119i | ||||
\(418\) | −0.154968 | + | 0.653465i | −0.00757975 | + | 0.0319620i | ||||
\(419\) | 7.41128i | 0.362065i | 0.983477 | + | 0.181032i | \(0.0579439\pi\) | ||||
−0.983477 | + | 0.181032i | \(0.942056\pi\) | |||||||
\(420\) | 8.72977 | + | 0.192060i | 0.425969 | + | 0.00937159i | ||||
\(421\) | −18.9012 | + | 3.33280i | −0.921190 | + | 0.162431i | −0.614081 | − | 0.789243i | \(-0.710473\pi\) |
−0.307110 | + | 0.951674i | \(0.599362\pi\) | |||||||
\(422\) | 6.45428 | + | 73.7728i | 0.314190 | + | 3.59120i | ||||
\(423\) | 1.70694 | − | 19.5104i | 0.0829944 | − | 0.948630i | ||||
\(424\) | 64.5639 | + | 11.3844i | 3.13550 | + | 0.552873i | ||||
\(425\) | 1.02981 | − | 1.34107i | 0.0499530 | − | 0.0650513i | ||||
\(426\) | 10.0304 | − | 5.79107i | 0.485976 | − | 0.280578i | ||||
\(427\) | −1.19439 | − | 0.556954i | −0.0578007 | − | 0.0269529i | ||||
\(428\) | 53.3453 | + | 24.8753i | 2.57854 | + | 1.20240i | ||||
\(429\) | 0.172618 | − | 0.0996611i | 0.00833408 | − | 0.00481168i | ||||
\(430\) | −52.9675 | − | 10.5458i | −2.55432 | − | 0.508565i | ||||
\(431\) | −18.9647 | − | 3.34399i | −0.913498 | − | 0.161074i | −0.302907 | − | 0.953020i | \(-0.597957\pi\) |
−0.610591 | + | 0.791946i | \(0.709068\pi\) | |||||||
\(432\) | −4.53102 | + | 51.7898i | −0.217999 | + | 2.49174i | ||||
\(433\) | −1.24176 | − | 14.1934i | −0.0596751 | − | 0.682089i | −0.965836 | − | 0.259155i | \(-0.916556\pi\) |
0.906161 | − | 0.422934i | \(-0.139000\pi\) | |||||||
\(434\) | 19.9413 | − | 3.51618i | 0.957212 | − | 0.168782i | ||||
\(435\) | 5.19460 | + | 5.42831i | 0.249062 | + | 0.260268i | ||||
\(436\) | 95.5099i | 4.57409i | ||||||||
\(437\) | 2.95982 | + | 5.89550i | 0.141587 | + | 0.282020i | ||||
\(438\) | −2.36909 | + | 2.36909i | −0.113200 | + | 0.113200i | ||||
\(439\) | 32.9575 | + | 11.9955i | 1.57297 | + | 0.572516i | 0.973661 | − | 0.228000i | \(-0.0732186\pi\) |
0.599312 | + | 0.800515i | \(0.295441\pi\) | |||||||
\(440\) | 0.325637 | − | 1.11646i | 0.0155241 | − | 0.0532251i | ||||
\(441\) | −11.3721 | − | 9.54229i | −0.541526 | − | 0.454395i | ||||
\(442\) | −4.86657 | − | 0.425770i | −0.231479 | − | 0.0202518i | ||||
\(443\) | −15.6814 | − | 22.3954i | −0.745046 | − | 1.06404i | −0.995393 | − | 0.0958795i | \(-0.969434\pi\) |
0.250347 | − | 0.968156i | \(-0.419455\pi\) | |||||||
\(444\) | −5.27496 | − | 3.04550i | −0.250339 | − | 0.144533i | ||||
\(445\) | −22.2201 | − | 19.4936i | −1.05333 | − | 0.924085i | ||||
\(446\) | −30.0382 | + | 10.9330i | −1.42235 | + | 0.517694i | ||||
\(447\) | 1.99958 | − | 4.28811i | 0.0945768 | − | 0.202821i | ||||
\(448\) | −27.8868 | − | 7.47224i | −1.31753 | − | 0.353030i | ||||
\(449\) | 8.59814 | − | 14.8924i | 0.405771 | − | 0.702816i | −0.588640 | − | 0.808395i | \(-0.700336\pi\) |
0.994411 | + | 0.105579i | \(0.0336697\pi\) | |||||||
\(450\) | −10.4804 | + | 33.1979i | −0.494052 | + | 1.56496i | ||||
\(451\) | 0.0993767 | + | 0.118433i | 0.00467947 | + | 0.00557677i | ||||
\(452\) | 79.7197 | − | 6.97457i | 3.74970 | − | 0.328056i | ||||
\(453\) | 4.07690 | + | 2.85468i | 0.191550 | + | 0.134125i | ||||
\(454\) | −12.5116 | + | 34.3752i | −0.587196 | + | 1.61331i | ||||
\(455\) | −4.20243 | − | 12.3873i | −0.197013 | − | 0.580726i | ||||
\(456\) | 12.5303 | − | 23.2313i | 0.586786 | − | 1.08791i | ||||
\(457\) | −25.3702 | − | 25.3702i | −1.18677 | − | 1.18677i | −0.977956 | − | 0.208810i | \(-0.933041\pi\) |
−0.208810 | − | 0.977956i | \(-0.566959\pi\) | |||||||
\(458\) | 2.02095 | + | 4.33393i | 0.0944326 | + | 0.202511i | ||||
\(459\) | −0.215802 | − | 1.22387i | −0.0100728 | − | 0.0571255i | ||||
\(460\) | −7.32363 | − | 16.6524i | −0.341466 | − | 0.776420i | ||||
\(461\) | −17.5641 | + | 14.7380i | −0.818040 | + | 0.686417i | −0.952512 | − | 0.304500i | \(-0.901511\pi\) |
0.134472 | + | 0.990917i | \(0.457066\pi\) | |||||||
\(462\) | −0.0916814 | + | 0.0641960i | −0.00426541 | + | 0.00298667i | ||||
\(463\) | −6.85057 | − | 25.5667i | −0.318373 | − | 1.18819i | −0.920808 | − | 0.390017i | \(-0.872469\pi\) |
0.602435 | − | 0.798168i | \(-0.294197\pi\) | |||||||
\(464\) | −35.9817 | − | 62.3221i | −1.67041 | − | 2.89323i | ||||
\(465\) | 1.09189 | − | 9.95337i | 0.0506352 | − | 0.461577i | ||||
\(466\) | −8.49260 | − | 23.3332i | −0.393412 | − | 1.08089i | ||||
\(467\) | 2.83331 | − | 10.5741i | 0.131110 | − | 0.489310i | −0.868874 | − | 0.495034i | \(-0.835156\pi\) |
0.999984 | + | 0.00572460i | \(0.00182221\pi\) | |||||||
\(468\) | 70.8092 | − | 18.9733i | 3.27316 | − | 0.877039i | ||||
\(469\) | −1.51194 | + | 8.57464i | −0.0698149 | + | 0.395940i | ||||
\(470\) | 24.0739 | − | 39.6564i | 1.11045 | − | 1.82921i | ||||
\(471\) | −4.43510 | + | 5.28555i | −0.204359 | + | 0.243545i | ||||
\(472\) | 32.5442 | − | 46.4780i | 1.49797 | − | 2.13932i | ||||
\(473\) | 0.457263 | − | 0.213225i | 0.0210250 | − | 0.00980412i | ||||
\(474\) | 5.71221 | 0.262370 | ||||||||
\(475\) | 14.2588 | − | 16.4829i | 0.654237 | − | 0.756289i | ||||
\(476\) | 1.99927 | 0.0916363 | ||||||||
\(477\) | 16.6158 | − | 7.74809i | 0.760787 | − | 0.354761i | ||||
\(478\) | 27.0527 | − | 38.6353i | 1.23736 | − | 1.76714i | ||||
\(479\) | −10.2823 | + | 12.2540i | −0.469812 | + | 0.559901i | −0.947964 | − | 0.318377i | \(-0.896862\pi\) |
0.478152 | + | 0.878277i | \(0.341307\pi\) | |||||||
\(480\) | −15.3931 | + | 25.3567i | −0.702596 | + | 1.15737i | ||||
\(481\) | −1.58447 | + | 8.98597i | −0.0722456 | + | 0.409725i | ||||
\(482\) | 18.3936 | − | 4.92855i | 0.837806 | − | 0.224489i | ||||
\(483\) | −0.284539 | + | 1.06191i | −0.0129470 | + | 0.0483187i | ||||
\(484\) | −20.2186 | − | 55.5500i | −0.919025 | − | 2.52500i | ||||
\(485\) | −0.410396 | + | 3.74106i | −0.0186351 | + | 0.169873i | ||||
\(486\) | 19.6919 | + | 34.1074i | 0.893245 | + | 1.54714i | ||||
\(487\) | 3.46496 | + | 12.9314i | 0.157012 | + | 0.585978i | 0.998925 | + | 0.0463639i | \(0.0147634\pi\) |
−0.841912 | + | 0.539615i | \(0.818570\pi\) | |||||||
\(488\) | 8.99897 | − | 6.30115i | 0.407364 | − | 0.285239i | ||||
\(489\) | 9.71213 | − | 8.14944i | 0.439198 | − | 0.368531i | ||||
\(490\) | −14.1565 | − | 32.1888i | −0.639524 | − | 1.45414i | ||||
\(491\) | 2.17040 | + | 12.3090i | 0.0979489 | + | 0.555496i | 0.993804 | + | 0.111149i | \(0.0354531\pi\) |
−0.895855 | + | 0.444347i | \(0.853436\pi\) | |||||||
\(492\) | −4.08939 | − | 8.76973i | −0.184364 | − | 0.395370i | ||||
\(493\) | 1.21641 | + | 1.21641i | 0.0547846 | + | 0.0547846i | ||||
\(494\) | −62.3021 | − | 9.13461i | −2.80310 | − | 0.410986i | ||||
\(495\) | −0.104484 | − | 0.307981i | −0.00469619 | − | 0.0138427i | ||||
\(496\) | −32.8018 | + | 90.1221i | −1.47284 | + | 4.04660i | ||||
\(497\) | 5.81661 | + | 4.07284i | 0.260911 | + | 0.182692i | ||||
\(498\) | 3.85589 | − | 0.337346i | 0.172786 | − | 0.0151169i | ||||
\(499\) | 16.4159 | + | 19.5637i | 0.734878 | + | 0.875794i | 0.995985 | − | 0.0895162i | \(-0.0285321\pi\) |
−0.261107 | + | 0.965310i | \(0.584088\pi\) | |||||||
\(500\) | −41.5847 | + | 43.3929i | −1.85972 | + | 1.94059i | ||||
\(501\) | 2.78138 | − | 4.81750i | 0.124263 | − | 0.215230i | ||||
\(502\) | −69.0744 | − | 18.5084i | −3.08294 | − | 0.826072i | ||||
\(503\) | −3.45788 | + | 7.41545i | −0.154179 | + | 0.330638i | −0.968192 | − | 0.250209i | \(-0.919501\pi\) |
0.814013 | + | 0.580847i | \(0.197279\pi\) | |||||||
\(504\) | −24.2896 | + | 8.84069i | −1.08194 | + | 0.393796i | ||||
\(505\) | 12.4975 | + | 10.9640i | 0.556130 | + | 0.487890i | ||||
\(506\) | 0.201935 | + | 0.116587i | 0.00897711 | + | 0.00518294i | ||||
\(507\) | 5.79409 | + | 8.27482i | 0.257325 | + | 0.367498i | ||||
\(508\) | −29.2412 | − | 2.55827i | −1.29737 | − | 0.113505i | ||||
\(509\) | 16.8963 | + | 14.1777i | 0.748914 | + | 0.628414i | 0.935216 | − | 0.354079i | \(-0.115206\pi\) |
−0.186301 | + | 0.982493i | \(0.559650\pi\) | |||||||
\(510\) | 0.379811 | − | 1.30220i | 0.0168183 | − | 0.0576623i | ||||
\(511\) | −1.93019 | − | 0.702532i | −0.0853866 | − | 0.0310782i | ||||
\(512\) | 17.4903 | − | 17.4903i | 0.772969 | − | 0.772969i | ||||
\(513\) | −1.85748 | − | 15.9107i | −0.0820099 | − | 0.702473i | ||||
\(514\) | 45.0931i | 1.98897i | ||||||||
\(515\) | −9.10814 | − | 9.51793i | −0.401353 | − | 0.419410i | ||||
\(516\) | −31.0982 | + | 5.48345i | −1.36902 | + | 0.241396i | ||||
\(517\) | 0.0377725 | + | 0.431741i | 0.00166123 | + | 0.0189880i | ||||
\(518\) | 0.446551 | − | 5.10410i | 0.0196203 | − | 0.224261i | ||||
\(519\) | −3.60385 | − | 0.635457i | −0.158192 | − | 0.0278934i | ||||
\(520\) | 106.942 | + | 21.2921i | 4.68971 | + | 0.933722i | ||||
\(521\) | 21.4600 | − | 12.3900i | 0.940182 | − | 0.542814i | 0.0501643 | − | 0.998741i | \(-0.484025\pi\) |
0.890017 | + | 0.455927i | \(0.150692\pi\) | |||||||
\(522\) | −32.1002 | − | 14.9686i | −1.40499 | − | 0.655157i | ||||
\(523\) | 38.5530 | + | 17.9776i | 1.68581 | + | 0.786104i | 0.998197 | + | 0.0600235i | \(0.0191176\pi\) |
0.687609 | + | 0.726081i | \(0.258660\pi\) | |||||||
\(524\) | −24.4234 | + | 14.1009i | −1.06694 | + | 0.616000i | ||||
\(525\) | 3.60122 | − | 0.472787i | 0.157170 | − | 0.0206341i | ||||
\(526\) | 38.0836 | + | 6.71516i | 1.66052 | + | 0.292795i | ||||
\(527\) | 0.199814 | − | 2.28389i | 0.00870405 | − | 0.0994878i | ||||
\(528\) | −0.0462016 | − | 0.528087i | −0.00201067 | − | 0.0229820i | ||||
\(529\) | −20.3950 | + | 3.59619i | −0.886738 | + | 0.156356i | ||||
\(530\) | 43.4168 | + | 0.955197i | 1.88591 | + | 0.0414911i | ||||
\(531\) | − | 15.8669i | − | 0.688563i | ||||||
\(532\) | 25.7262 | + | 1.50191i | 1.11537 | + | 0.0651159i | ||||
\(533\) | −10.2499 | + | 10.2499i | −0.443973 | + | 0.443973i | ||||
\(534\) | −22.2832 | − | 8.11041i | −0.964288 | − | 0.350972i | ||||
\(535\) | 23.5041 | + | 6.85543i | 1.01617 | + | 0.296386i | ||||
\(536\) | −55.6001 | − | 46.6540i | −2.40156 | − | 2.01515i | ||||
\(537\) | 2.86047 | + | 0.250259i | 0.123438 | + | 0.0107995i | ||||
\(538\) | −27.0765 | − | 38.6692i | −1.16735 | − | 1.66715i | ||||
\(539\) | 0.284493 | + | 0.164252i | 0.0122540 | + | 0.00707484i | ||||
\(540\) | 2.88118 | + | 44.0801i | 0.123986 | + | 1.89691i | ||||
\(541\) | 28.1749 | − | 10.2548i | 1.21133 | − | 0.440889i | 0.344167 | − | 0.938908i | \(-0.388161\pi\) |
0.867166 | + | 0.498019i | \(0.165939\pi\) | |||||||
\(542\) | −19.1353 | + | 41.0359i | −0.821933 | + | 1.76264i | ||||
\(543\) | −5.21390 | − | 1.39706i | −0.223750 | − | 0.0599536i | ||||
\(544\) | −3.39588 | + | 5.88184i | −0.145597 | + | 0.252182i | ||||
\(545\) | 6.03652 | + | 39.2671i | 0.258576 | + | 1.68202i | ||||
\(546\) | −6.74532 | − | 8.03875i | −0.288673 | − | 0.344027i | ||||
\(547\) | −16.4117 | + | 1.43584i | −0.701714 | + | 0.0613920i | −0.432428 | − | 0.901668i | \(-0.642343\pi\) |
−0.269285 | + | 0.963060i | \(0.586788\pi\) | |||||||
\(548\) | −38.5569 | − | 26.9978i | −1.64707 | − | 1.15329i | ||||
\(549\) | 1.05072 | − | 2.88684i | 0.0448438 | − | 0.123207i | ||||
\(550\) | 0.100828 | − | 0.763738i | 0.00429934 | − | 0.0325659i | ||||
\(551\) | 14.7388 | + | 16.5664i | 0.627892 | + | 0.705751i | ||||
\(552\) | −6.48018 | − | 6.48018i | −0.275815 | − | 0.275815i | ||||
\(553\) | 1.48003 | + | 3.17393i | 0.0629371 | + | 0.134969i | ||||
\(554\) | −3.30228 | − | 18.7282i | −0.140300 | − | 0.795684i | ||||
\(555\) | −2.36119 | − | 0.918706i | −0.100227 | − | 0.0389969i | ||||
\(556\) | 46.6533 | − | 39.1467i | 1.97854 | − | 1.66019i | ||||
\(557\) | 35.5264 | − | 24.8758i | 1.50530 | − | 1.05402i | 0.526268 | − | 0.850319i | \(-0.323591\pi\) |
0.979033 | − | 0.203704i | \(-0.0652980\pi\) | |||||||
\(558\) | 12.2170 | + | 45.5943i | 0.517185 | + | 1.93016i | ||||
\(559\) | 23.6526 | + | 40.9675i | 1.00040 | + | 1.73274i | ||||
\(560\) | −34.5812 | − | 3.79358i | −1.46132 | − | 0.160308i | ||||
\(561\) | 0.00433409 | + | 0.0119078i | 0.000182985 | + | 0.000502748i | ||||
\(562\) | 9.08906 | − | 33.9208i | 0.383399 | − | 1.43086i | ||||
\(563\) | 2.87367 | − | 0.769996i | 0.121111 | − | 0.0324515i | −0.197755 | − | 0.980252i | \(-0.563365\pi\) |
0.318865 | + | 0.947800i | \(0.396698\pi\) | |||||||
\(564\) | 4.71024 | − | 26.7131i | 0.198337 | − | 1.12482i | ||||
\(565\) | 32.3344 | − | 7.90600i | 1.36032 | − | 0.332608i | ||||
\(566\) | −52.2679 | + | 62.2905i | −2.19699 | + | 2.61827i | ||||
\(567\) | −3.32041 | + | 4.74204i | −0.139444 | + | 0.199147i | ||||
\(568\) | −53.6461 | + | 25.0156i | −2.25094 | + | 1.04963i | ||||
\(569\) | −23.8332 | −0.999138 | −0.499569 | − | 0.866274i | \(-0.666508\pi\) | ||||
−0.499569 | + | 0.866274i | \(0.666508\pi\) | |||||||
\(570\) | 5.86558 | − | 16.4711i | 0.245682 | − | 0.689898i | ||||
\(571\) | 35.7609 | 1.49655 | 0.748273 | − | 0.663391i | \(-0.230883\pi\) | ||||
0.748273 | + | 0.663391i | \(0.230883\pi\) | |||||||
\(572\) | −1.47020 | + | 0.685568i | −0.0614723 | + | 0.0286650i | ||||
\(573\) | −0.000844821 | 0.00120653i | −3.52929e−5 | 5.04035e-5i | ||||||
\(574\) | 5.23195 | − | 6.23520i | 0.218377 | − | 0.260252i | ||||
\(575\) | −4.06345 | − | 6.38342i | −0.169458 | − | 0.266207i | ||||
\(576\) | 11.6866 | − | 66.2783i | 0.486944 | − | 2.76159i | ||||
\(577\) | −17.3980 | + | 4.66177i | −0.724286 | + | 0.194072i | −0.602083 | − | 0.798433i | \(-0.705663\pi\) |
−0.122203 | + | 0.992505i | \(0.538996\pi\) | |||||||
\(578\) | −11.8690 | + | 44.2958i | −0.493686 | + | 1.84246i | ||||
\(579\) | −3.86191 | − | 10.6105i | −0.160496 | − | 0.440958i | ||||
\(580\) | −38.2652 | − | 47.6951i | −1.58888 | − | 1.98043i | ||||
\(581\) | 1.18650 | + | 2.05508i | 0.0492243 | + | 0.0852589i | ||||
\(582\) | 0.781431 | + | 2.91634i | 0.0323914 | + | 0.120886i | ||||
\(583\) | −0.332328 | + | 0.232699i | −0.0137636 | + | 0.00963740i | ||||
\(584\) | 13.1167 | − | 11.0062i | 0.542774 | − | 0.455441i | ||||
\(585\) | 27.9127 | − | 12.2759i | 1.15405 | − | 0.507544i | ||||
\(586\) | 0.475229 | + | 2.69516i | 0.0196315 | + | 0.111336i | ||||
\(587\) | 2.68895 | + | 5.76648i | 0.110985 | + | 0.238008i | 0.953953 | − | 0.299955i | \(-0.0969717\pi\) |
−0.842968 | + | 0.537963i | \(0.819194\pi\) | |||||||
\(588\) | −14.5385 | − | 14.5385i | −0.599558 | − | 0.599558i | ||||
\(589\) | 4.28689 | − | 29.2385i | 0.176638 | − | 1.20475i | ||||
\(590\) | 16.6292 | − | 33.7054i | 0.684615 | − | 1.38763i | ||||
\(591\) | −2.89927 | + | 7.96569i | −0.119260 | + | 0.327665i | ||||
\(592\) | 19.8785 | + | 13.9191i | 0.817001 | + | 0.572070i | ||||
\(593\) | 22.3952 | − | 1.95932i | 0.919659 | − | 0.0804597i | 0.382514 | − | 0.923950i | \(-0.375058\pi\) |
0.537145 | + | 0.843490i | \(0.319503\pi\) | |||||||
\(594\) | −0.363953 | − | 0.433742i | −0.0149332 | − | 0.0177966i | ||||
\(595\) | 0.821961 | − | 0.126360i | 0.0336971 | − | 0.00518026i | ||||
\(596\) | −19.2534 | + | 33.3478i | −0.788648 | + | 1.36598i | ||||
\(597\) | 8.44516 | + | 2.26287i | 0.345637 | + | 0.0926133i | ||||
\(598\) | −9.23948 | + | 19.8141i | −0.377830 | + | 0.810260i | ||||
\(599\) | 20.6125 | − | 7.50233i | 0.842203 | − | 0.306537i | 0.115346 | − | 0.993325i | \(-0.463202\pi\) |
0.726857 | + | 0.686789i | \(0.240980\pi\) | |||||||
\(600\) | −11.5967 | + | 27.9684i | −0.473434 | + | 1.14181i | ||||
\(601\) | −21.7022 | − | 12.5298i | −0.885253 | − | 0.511101i | −0.0128660 | − | 0.999917i | \(-0.504095\pi\) |
−0.872387 | + | 0.488816i | \(0.837429\pi\) | |||||||
\(602\) | −15.2357 | − | 21.7588i | −0.620959 | − | 0.886822i | ||||
\(603\) | −20.2197 | − | 1.76899i | −0.823408 | − | 0.0720389i | ||||
\(604\) | −31.0289 | − | 26.0363i | −1.26255 | − | 1.05940i | ||||
\(605\) | −11.8234 | − | 21.5605i | −0.480690 | − | 0.876557i | ||||
\(606\) | 12.5329 | + | 4.56162i | 0.509116 | + | 0.185303i | ||||
\(607\) | 6.57784 | − | 6.57784i | 0.266986 | − | 0.266986i | −0.560898 | − | 0.827885i | \(-0.689544\pi\) |
0.827885 | + | 0.560898i | \(0.189544\pi\) | |||||||
\(608\) | −48.1161 | + | 73.1352i | −1.95136 | + | 2.96602i | ||||
\(609\) | 3.69533i | 0.149742i | ||||||||
\(610\) | 5.25756 | − | 5.03120i | 0.212872 | − | 0.203707i | ||||
\(611\) | −40.0174 | + | 7.05614i | −1.61893 | + | 0.285461i | ||||
\(612\) | 0.406193 | + | 4.64281i | 0.0164194 | + | 0.187674i | ||||
\(613\) | 1.12709 | − | 12.8827i | 0.0455227 | − | 0.520327i | −0.938862 | − | 0.344295i | \(-0.888118\pi\) |
0.984384 | − | 0.176032i | \(-0.0563263\pi\) | |||||||
\(614\) | 51.5270 | + | 9.08561i | 2.07946 | + | 0.366665i | ||||
\(615\) | −2.23555 | − | 3.34704i | −0.0901460 | − | 0.134966i | ||||
\(616\) | 0.495361 | − | 0.285997i | 0.0199586 | − | 0.0115231i | ||||
\(617\) | 24.5841 | + | 11.4638i | 0.989719 | + | 0.461513i | 0.848918 | − | 0.528524i | \(-0.177255\pi\) |
0.140801 | + | 0.990038i | \(0.455032\pi\) | |||||||
\(618\) | −9.57832 | − | 4.46644i | −0.385296 | − | 0.179667i | ||||
\(619\) | 34.6066 | − | 19.9802i | 1.39096 | − | 0.803070i | 0.397537 | − | 0.917586i | \(-0.369865\pi\) |
0.993421 | + | 0.114516i | \(0.0365317\pi\) | |||||||
\(620\) | −15.9127 | + | 79.9232i | −0.639069 | + | 3.20979i | ||||
\(621\) | −5.47718 | − | 0.965775i | −0.219792 | − | 0.0387552i | ||||
\(622\) | −3.71937 | + | 42.5126i | −0.149133 | + | 1.70460i | ||||
\(623\) | −1.26708 | − | 14.4828i | −0.0507645 | − | 0.580241i | ||||
\(624\) | 48.9475 | − | 8.63076i | 1.95947 | − | 0.345507i | ||||
\(625\) | −14.3542 | + | 20.4684i | −0.574168 | + | 0.818738i | ||||
\(626\) | − | 63.3005i | − | 2.53000i | ||||||
\(627\) | 0.0468246 | + | 0.156483i | 0.00187000 | + | 0.00624933i | ||||
\(628\) | 39.7070 | − | 39.7070i | 1.58448 | − | 1.58448i | ||||
\(629\) | −0.545117 | − | 0.198406i | −0.0217353 | − | 0.00791098i | ||||
\(630\) | −15.0130 | + | 8.23287i | −0.598131 | + | 0.328005i | ||||
\(631\) | 4.78002 | + | 4.01092i | 0.190290 | + | 0.159672i | 0.732955 | − | 0.680277i | \(-0.238140\pi\) |
−0.542666 | + | 0.839949i | \(0.682585\pi\) | |||||||
\(632\) | −29.0819 | − | 2.54433i | −1.15681 | − | 0.101208i | ||||
\(633\) | 10.3307 | + | 14.7537i | 0.410608 | + | 0.586408i | ||||
\(634\) | −42.9626 | − | 24.8045i | −1.70626 | − | 0.985111i | ||||
\(635\) | −12.1836 | + | 0.796350i | −0.483493 | + | 0.0316022i | ||||
\(636\) | 23.8606 | − | 8.68456i | 0.946136 | − | 0.344365i | ||||
\(637\) | −13.0169 | + | 27.9148i | −0.515748 | + | 1.10603i | ||||
\(638\) | 0.757064 | + | 0.202855i | 0.0299725 | + | 0.00803110i | ||||
\(639\) | −8.27639 | + | 14.3351i | −0.327409 | + | 0.567089i | ||||
\(640\) | 41.1650 | − | 56.1207i | 1.62719 | − | 2.21837i | ||||
\(641\) | 21.0702 | + | 25.1105i | 0.832223 | + | 0.991805i | 0.999982 | + | 0.00597660i | \(0.00190242\pi\) |
−0.167759 | + | 0.985828i | \(0.553653\pi\) | |||||||
\(642\) | 19.5668 | − | 1.71187i | 0.772239 | − | 0.0675622i | ||||
\(643\) | −10.2509 | − | 7.17778i | −0.404257 | − | 0.283064i | 0.353712 | − | 0.935354i | \(-0.384919\pi\) |
−0.757969 | + | 0.652290i | \(0.773808\pi\) | |||||||
\(644\) | 3.06015 | − | 8.40770i | 0.120587 | − | 0.331310i | ||||
\(645\) | −12.4389 | + | 4.21992i | −0.489780 | + | 0.166159i | ||||
\(646\) | 1.25972 | − | 3.79988i | 0.0495630 | − | 0.149504i | ||||
\(647\) | −26.3408 | − | 26.3408i | −1.03556 | − | 1.03556i | −0.999344 | − | 0.0362200i | \(-0.988468\pi\) |
−0.0362200 | − | 0.999344i | \(-0.511532\pi\) | |||||||
\(648\) | −20.3941 | − | 43.7354i | −0.801158 | − | 1.71809i | ||||
\(649\) | 0.0609702 | + | 0.345779i | 0.00239329 | + | 0.0135730i | ||||
\(650\) | 72.1596 | + | 3.17665i | 2.83033 | + | 0.124598i | ||||
\(651\) | 3.77260 | − | 3.16559i | 0.147860 | − | 0.124069i | ||||
\(652\) | −84.5223 | + | 59.1832i | −3.31015 | + | 2.31779i | ||||
\(653\) | −8.49167 | − | 31.6914i | −0.332305 | − | 1.24018i | −0.906762 | − | 0.421644i | \(-0.861453\pi\) |
0.574457 | − | 0.818535i | \(-0.305213\pi\) | |||||||
\(654\) | 15.9357 | + | 27.6015i | 0.623137 | + | 1.07931i | ||||
\(655\) | −9.15001 | + | 7.34094i | −0.357520 | + | 0.286834i | ||||
\(656\) | 13.1854 | + | 36.2265i | 0.514802 | + | 1.41441i | ||||
\(657\) | 1.23930 | − | 4.62512i | 0.0483496 | − | 0.180443i | ||||
\(658\) | 22.0395 | − | 5.90547i | 0.859190 | − | 0.230219i | ||||
\(659\) | −0.758457 | + | 4.30142i | −0.0295453 | + | 0.167560i | −0.996010 | − | 0.0892388i | \(-0.971557\pi\) |
0.966465 | + | 0.256799i | \(0.0826677\pi\) | |||||||
\(660\) | −0.106982 | − | 0.437543i | −0.00416429 | − | 0.0170313i | ||||
\(661\) | 13.8200 | − | 16.4701i | 0.537536 | − | 0.640611i | −0.427097 | − | 0.904206i | \(-0.640464\pi\) |
0.964633 | + | 0.263595i | \(0.0849082\pi\) | |||||||
\(662\) | −25.9316 | + | 37.0342i | −1.00786 | + | 1.43937i | ||||
\(663\) | −1.07681 | + | 0.502126i | −0.0418199 | + | 0.0195009i | ||||
\(664\) | −19.7813 | −0.767662 | ||||||||
\(665\) | 10.6717 | − | 1.00849i | 0.413832 | − | 0.0391077i | ||||
\(666\) | 11.9437 | 0.462810 | ||||||||
\(667\) | 6.97739 | − | 3.25361i | 0.270166 | − | 0.125980i | ||||
\(668\) | −25.9674 | + | 37.0853i | −1.00471 | + | 1.43487i | ||||
\(669\) | −4.99737 | + | 5.95563i | −0.193209 | + | 0.230258i | ||||
\(670\) | −41.0979 | − | 24.9490i | −1.58775 | − | 0.963863i | ||||
\(671\) | −0.0118049 | + | 0.0669490i | −0.000455724 | + | 0.00258454i | ||||
\(672\) | −14.0923 | + | 3.77603i | −0.543623 | + | 0.145663i | ||||
\(673\) | −10.4445 | + | 38.9795i | −0.402607 | + | 1.50255i | 0.405821 | + | 0.913952i | \(0.366986\pi\) |
−0.808428 | + | 0.588595i | \(0.799681\pi\) | |||||||
\(674\) | 7.16203 | + | 19.6775i | 0.275871 | + | 0.757950i | ||||
\(675\) | 3.97054 | + | 17.9406i | 0.152826 | + | 0.690534i | ||||
\(676\) | −41.1065 | − | 71.1986i | −1.58102 | − | 2.73841i | ||||
\(677\) | −7.17569 | − | 26.7801i | −0.275784 | − | 1.02924i | −0.955314 | − | 0.295593i | \(-0.904483\pi\) |
0.679530 | − | 0.733648i | \(-0.262184\pi\) | |||||||
\(678\) | 21.8746 | − | 15.3168i | 0.840090 | − | 0.588237i | ||||
\(679\) | −1.41797 | + | 1.18981i | −0.0544165 | + | 0.0456609i | ||||
\(680\) | −2.51371 | + | 6.46055i | −0.0963965 | + | 0.247751i | ||||
\(681\) | 1.54495 | + | 8.76186i | 0.0592027 | + | 0.335755i | ||||
\(682\) | −0.441440 | − | 0.946670i | −0.0169036 | − | 0.0362499i | ||||
\(683\) | 16.4100 | + | 16.4100i | 0.627913 | + | 0.627913i | 0.947543 | − | 0.319630i | \(-0.103558\pi\) |
−0.319630 | + | 0.947543i | \(0.603558\pi\) | |||||||
\(684\) | 1.73900 | + | 60.0478i | 0.0664922 | + | 2.29598i | ||||
\(685\) | −17.5583 | − | 8.66272i | −0.670867 | − | 0.330985i | ||||
\(686\) | 13.0660 | − | 35.8986i | 0.498864 | − | 1.37062i | ||||
\(687\) | 0.952701 | + | 0.667088i | 0.0363478 | + | 0.0254510i | ||||
\(688\) | 125.331 | − | 10.9650i | 4.77820 | − | 0.418038i | ||||
\(689\) | −24.4505 | − | 29.1390i | −0.931491 | − | 1.11011i | ||||
\(690\) | −4.89490 | − | 3.59045i | −0.186346 | − | 0.136686i | ||||
\(691\) | −2.59960 | + | 4.50263i | −0.0988933 | + | 0.171288i | −0.911227 | − | 0.411905i | \(-0.864864\pi\) |
0.812334 | + | 0.583193i | \(0.198197\pi\) | |||||||
\(692\) | 28.7678 | + | 7.70830i | 1.09359 | + | 0.293025i | ||||
\(693\) | 0.0676001 | − | 0.144969i | 0.00256792 | − | 0.00550691i | ||||
\(694\) | 71.7206 | − | 26.1042i | 2.72248 | − | 0.990901i | ||||
\(695\) | 16.7064 | − | 19.0431i | 0.633710 | − | 0.722345i | ||||
\(696\) | −26.6772 | − | 15.4021i | −1.01120 | − | 0.583815i | ||||
\(697\) | −0.528588 | − | 0.754901i | −0.0200217 | − | 0.0285939i | ||||
\(698\) | −13.4965 | − | 1.18079i | −0.510850 | − | 0.0446936i | ||||
\(699\) | −4.62624 | − | 3.88188i | −0.174981 | − | 0.146826i | ||||
\(700\) | −29.5325 | + | 1.27874i | −1.11622 | + | 0.0483317i | ||||
\(701\) | −42.3332 | − | 15.4080i | −1.59890 | − | 0.581954i | −0.619702 | − | 0.784838i | \(-0.712746\pi\) |
−0.979203 | + | 0.202884i | \(0.934969\pi\) | |||||||
\(702\) | 37.5388 | − | 37.5388i | 1.41681 | − | 1.41681i | ||||
\(703\) | −6.86540 | − | 2.96256i | −0.258934 | − | 0.111735i | ||||
\(704\) | 1.48928i | 0.0561293i | ||||||||
\(705\) | 0.248173 | − | 11.2803i | 0.00934674 | − | 0.424840i | ||||
\(706\) | 12.7855 | − | 2.25443i | 0.481188 | − | 0.0848465i | ||||
\(707\) | 0.712656 | + | 8.14570i | 0.0268022 | + | 0.306351i | ||||
\(708\) | 1.91530 | − | 21.8920i | 0.0719814 | − | 0.822751i | ||||
\(709\) | −26.1551 | − | 4.61185i | −0.982276 | − | 0.173202i | −0.340626 | − | 0.940199i | \(-0.610639\pi\) |
−0.641650 | + | 0.766997i | \(0.721750\pi\) | |||||||
\(710\) | −32.6051 | + | 21.7776i | −1.22365 | + | 0.817297i | ||||
\(711\) | −7.06996 | + | 4.08184i | −0.265144 | + | 0.153081i | ||||
\(712\) | 109.835 | + | 51.2169i | 4.11624 | + | 1.91944i | ||||
\(713\) | −9.29880 | − | 4.33610i | −0.348243 | − | 0.162388i | ||||
\(714\) | 0.577771 | − | 0.333576i | 0.0216226 | − | 0.0124838i | ||||
\(715\) | −0.561117 | + | 0.374780i | −0.0209846 | + | 0.0140160i | ||||
\(716\) | −23.0139 | − | 4.05798i | −0.860071 | − | 0.151654i | ||||
\(717\) | 0.999773 | − | 11.4275i | 0.0373372 | − | 0.426766i | ||||
\(718\) | 4.81446 | + | 55.0296i | 0.179674 | + | 2.05369i | ||||
\(719\) | −34.9293 | + | 6.15897i | −1.30264 | + | 0.229691i | −0.781568 | − | 0.623820i | \(-0.785580\pi\) |
−0.521074 | + | 0.853511i | \(0.674469\pi\) | |||||||
\(720\) | 1.78375 | − | 81.0771i | 0.0664763 | − | 3.02157i | ||||
\(721\) | − | 6.47934i | − | 0.241303i | ||||||
\(722\) | 19.0644 | − | 47.9496i | 0.709502 | − | 1.78450i | ||||
\(723\) | 3.27487 | − | 3.27487i | 0.121794 | − | 0.121794i | ||||
\(724\) | 41.2811 | + | 15.0251i | 1.53420 | + | 0.558403i | ||||
\(725\) | −18.7465 | − | 17.1904i | −0.696227 | − | 0.638437i | ||||
\(726\) | −15.1115 | − | 12.6800i | −0.560839 | − | 0.470600i | ||||
\(727\) | 6.96216 | + | 0.609110i | 0.258212 | + | 0.0225906i | 0.215527 | − | 0.976498i | \(-0.430853\pi\) |
0.0426854 | + | 0.999089i | \(0.486409\pi\) | |||||||
\(728\) | 30.7610 | + | 43.9312i | 1.14008 | + | 1.62820i | ||||
\(729\) | −5.38031 | − | 3.10632i | −0.199271 | − | 0.115049i | ||||
\(730\) | 7.47995 | − | 8.52614i | 0.276845 | − | 0.315567i | ||||
\(731\) | −2.82608 | + | 1.02861i | −0.104527 | + | 0.0380445i | ||||
\(732\) | 1.79819 | − | 3.85622i | 0.0664628 | − | 0.142530i | ||||
\(733\) | 27.8780 | + | 7.46989i | 1.02970 | + | 0.275907i | 0.733838 | − | 0.679324i | \(-0.237727\pi\) |
0.295860 | + | 0.955231i | \(0.404394\pi\) | |||||||
\(734\) | 31.5778 | − | 54.6943i | 1.16556 | − | 2.01880i | ||||
\(735\) | −6.89611 | − | 5.05835i | −0.254367 | − | 0.186580i | ||||
\(736\) | 19.5376 | + | 23.2840i | 0.720164 | + | 0.858258i | ||||
\(737\) | 0.447435 | − | 0.0391455i | 0.0164815 | − | 0.00144194i | ||||
\(738\) | 15.5427 | + | 10.8831i | 0.572134 | + | 0.400613i | ||||
\(739\) | −9.45805 | + | 25.9858i | −0.347920 | + | 0.955902i | 0.635104 | + | 0.772426i | \(0.280957\pi\) |
−0.983024 | + | 0.183476i | \(0.941265\pi\) | |||||||
\(740\) | 18.4918 | + | 9.12331i | 0.679773 | + | 0.335379i | ||||
\(741\) | −14.2334 | + | 5.65231i | −0.522877 | + | 0.207643i | ||||
\(742\) | 15.1031 | + | 15.1031i | 0.554454 | + | 0.554454i | ||||
\(743\) | 18.1744 | + | 38.9751i | 0.666754 | + | 1.42986i | 0.890396 | + | 0.455187i | \(0.150428\pi\) |
−0.223641 | + | 0.974671i | \(0.571794\pi\) | |||||||
\(744\) | 7.12876 | + | 40.4292i | 0.261353 | + | 1.48221i | ||||
\(745\) | −5.80797 | + | 14.9272i | −0.212787 | + | 0.546890i | ||||
\(746\) | −8.60017 | + | 7.21640i | −0.314874 | + | 0.264211i | ||||
\(747\) | −4.53134 | + | 3.17288i | −0.165793 | + | 0.116090i | ||||
\(748\) | −0.0266925 | − | 0.0996177i | −0.000975974 | − | 0.00364238i | ||||
\(749\) | 6.02091 | + | 10.4285i | 0.219999 | + | 0.381050i | ||||
\(750\) | −4.77755 | + | 19.4785i | −0.174451 | + | 0.711256i | ||||
\(751\) | −13.6486 | − | 37.4992i | −0.498044 | − | 1.36836i | −0.893162 | − | 0.449735i | \(-0.851519\pi\) |
0.395118 | − | 0.918630i | \(-0.370704\pi\) | |||||||
\(752\) | −27.9704 | + | 104.387i | −1.01998 | + | 3.80660i | ||||
\(753\) | −16.7997 | + | 4.50148i | −0.612217 | + | 0.164043i | ||||
\(754\) | −12.7608 | + | 72.3700i | −0.464720 | + | 2.63556i | ||||
\(755\) | −14.4025 | − | 8.74322i | −0.524161 | − | 0.318198i | ||||
\(756\) | −13.9655 | + | 16.6434i | −0.507919 | + | 0.605314i | ||||
\(757\) | 14.5923 | − | 20.8400i | 0.530368 | − | 0.757443i | −0.461163 | − | 0.887315i | \(-0.652568\pi\) |
0.991531 | + | 0.129872i | \(0.0414566\pi\) | |||||||
\(758\) | −24.7917 | + | 11.5606i | −0.900477 | + | 0.419899i | ||||
\(759\) | 0.0567109 | 0.00205848 | ||||||||
\(760\) | −37.1992 | + | 81.2446i | −1.34936 | + | 2.94705i | ||||
\(761\) | 46.3395 | 1.67981 | 0.839903 | − | 0.542737i | \(-0.182612\pi\) | ||||
0.839903 | + | 0.542737i | \(0.182612\pi\) | |||||||
\(762\) | −8.87729 | + | 4.13955i | −0.321590 | + | 0.149960i | ||||
\(763\) | −11.2076 | + | 16.0060i | −0.405741 | + | 0.579458i | ||||
\(764\) | 0.00770526 | − | 0.00918277i | 0.000278767 | − | 0.000332221i | ||||
\(765\) | 0.460439 | + | 1.88313i | 0.0166472 | + | 0.0680847i | ||||
\(766\) | −4.50898 | + | 25.5717i | −0.162916 | + | 0.923944i | ||||
\(767\) | −31.7987 | + | 8.52043i | −1.14818 | + | 0.307655i | ||||
\(768\) | 5.47563 | − | 20.4353i | 0.197585 | − | 0.737397i | ||||
\(769\) | −0.957858 | − | 2.63169i | −0.0345412 | − | 0.0949013i | 0.921223 | − | 0.389034i | \(-0.127191\pi\) |
−0.955764 | + | 0.294133i | \(0.904969\pi\) | |||||||
\(770\) | 0.295535 | − | 0.237104i | 0.0106503 | − | 0.00854464i | ||||
\(771\) | 5.48360 | + | 9.49787i | 0.197487 | + | 0.342057i | ||||
\(772\) | 23.7845 | + | 88.7649i | 0.856022 | + | 3.19472i | ||||
\(773\) | 15.0743 | − | 10.5551i | 0.542184 | − | 0.379642i | −0.270164 | − | 0.962814i | \(-0.587078\pi\) |
0.812348 | + | 0.583173i | \(0.198189\pi\) | |||||||
\(774\) | 47.4339 | − | 39.8018i | 1.70498 | − | 1.43065i | ||||
\(775\) | −1.49081 | + | 33.8646i | −0.0535514 | + | 1.21645i | ||||
\(776\) | −2.67941 | − | 15.1957i | −0.0961851 | − | 0.545493i | ||||
\(777\) | −0.526633 | − | 1.12937i | −0.0188929 | − | 0.0405159i | ||||
\(778\) | −68.2001 | − | 68.2001i | −2.44509 | − | 2.44509i | ||||
\(779\) | −6.23465 | − | 10.1110i | −0.223379 | − | 0.362264i | ||||
\(780\) | 39.9938 | − | 13.5680i | 1.43201 | − | 0.485812i | ||||
\(781\) | 0.125279 | − | 0.344202i | 0.00448284 | − | 0.0123165i | ||||
\(782\) | −1.13856 | − | 0.797225i | −0.0407147 | − | 0.0285087i | ||||
\(783\) | −18.6233 | + | 1.62933i | −0.665544 | + | 0.0582276i | ||||
\(784\) | 52.6541 | + | 62.7507i | 1.88050 | + | 2.24110i | ||||
\(785\) | 13.8152 | − | 18.8344i | 0.493085 | − | 0.672228i | ||||
\(786\) | −4.70544 | + | 8.15006i | −0.167838 | + | 0.290703i | ||||
\(787\) | 24.4616 | + | 6.55446i | 0.871962 | + | 0.233641i | 0.666936 | − | 0.745115i | \(-0.267605\pi\) |
0.205026 | + | 0.978757i | \(0.434272\pi\) | |||||||
\(788\) | 29.1563 | − | 62.5259i | 1.03865 | − | 2.22739i | ||||
\(789\) | 8.83807 | − | 3.21679i | 0.314644 | − | 0.114521i | ||||
\(790\) | −19.2964 | + | 1.26126i | −0.686536 | + | 0.0448735i | ||||
\(791\) | 14.1783 | + | 8.18584i | 0.504122 | + | 0.291055i | ||||
\(792\) | 0.764799 | + | 1.09225i | 0.0271760 | + | 0.0388113i | ||||
\(793\) | −6.34973 | − | 0.555529i | −0.225485 | − | 0.0197274i | ||||
\(794\) | −25.8439 | − | 21.6856i | −0.917165 | − | 0.769593i | ||||
\(795\) | 9.26095 | − | 5.07856i | 0.328452 | − | 0.180118i | ||||
\(796\) | −66.8646 | − | 24.3367i | −2.36995 | − | 0.862593i | ||||
\(797\) | −29.4472 | + | 29.4472i | −1.04307 | + | 1.04307i | −0.0440431 | + | 0.999030i | \(0.514024\pi\) |
−0.999030 | + | 0.0440431i | \(0.985976\pi\) | |||||||
\(798\) | 7.68523 | − | 3.85835i | 0.272054 | − | 0.136584i | ||||
\(799\) | − | 2.58338i | − | 0.0913933i | ||||||
\(800\) | 46.4007 | − | 89.0565i | 1.64051 | − | 3.14862i | ||||
\(801\) | 33.3753 | − | 5.88497i | 1.17926 | − | 0.207935i | ||||
\(802\) | −5.62809 | − | 64.3294i | −0.198735 | − | 2.27155i | ||||
\(803\) | −0.00923489 | + | 0.105555i | −0.000325892 | + | 0.00372497i | ||||
\(804\) | −27.6841 | − | 4.88146i | −0.976344 | − | 0.172156i | ||||
\(805\) | 0.726730 | − | 3.65008i | 0.0256139 | − | 0.128648i | ||||
\(806\) | 84.8148 | − | 48.9678i | 2.98747 | − | 1.72482i | ||||
\(807\) | −10.4055 | − | 4.85215i | −0.366290 | − | 0.170804i | ||||
\(808\) | −61.7756 | − | 28.8064i | −2.17326 | − | 1.01341i | ||||
\(809\) | −5.30197 | + | 3.06110i | −0.186407 | + | 0.107622i | −0.590300 | − | 0.807184i | \(-0.700990\pi\) |
0.403892 | + | 0.914807i | \(0.367657\pi\) | |||||||
\(810\) | −17.7543 | − | 26.5816i | −0.623823 | − | 0.933981i | ||||
\(811\) | −46.3500 | − | 8.17276i | −1.62757 | − | 0.286984i | −0.715991 | − | 0.698110i | \(-0.754025\pi\) |
−0.911579 | + | 0.411126i | \(0.865136\pi\) | |||||||
\(812\) | 2.62117 | − | 29.9601i | 0.0919851 | − | 1.05139i | ||||
\(813\) | 0.959775 | + | 10.9703i | 0.0336608 | + | 0.384744i | ||||
\(814\) | −0.260284 | + | 0.0458951i | −0.00912296 | + | 0.00160862i | ||||
\(815\) | −31.0092 | + | 29.6741i | −1.08620 | + | 1.03944i | ||||
\(816\) | 3.15987i | 0.110618i | ||||||||
\(817\) | −37.1382 | + | 11.1129i | −1.29930 | + | 0.388791i | ||||
\(818\) | 1.39271 | − | 1.39271i | 0.0486950 | − | 0.0486950i | ||||
\(819\) | 14.0930 | + | 5.12943i | 0.492449 | + | 0.179237i | ||||
\(820\) | 15.7507 | + | 28.7221i | 0.550040 | + | 1.00302i | ||||
\(821\) | 13.1817 | + | 11.0608i | 0.460045 | + | 0.386024i | 0.843148 | − | 0.537682i | \(-0.180700\pi\) |
−0.383103 | + | 0.923706i | \(0.625144\pi\) | |||||||
\(822\) | −15.6472 | − | 1.36895i | −0.545757 | − | 0.0477476i | ||||
\(823\) | 13.6562 | + | 19.5030i | 0.476024 | + | 0.679833i | 0.983309 | − | 0.181946i | \(-0.0582395\pi\) |
−0.507284 | + | 0.861779i | \(0.669351\pi\) | |||||||
\(824\) | 46.7755 | + | 27.0058i | 1.62950 | + | 0.940792i | ||||
\(825\) | −0.0716379 | − | 0.173126i | −0.00249411 | − | 0.00602747i | ||||
\(826\) | 17.3705 | − | 6.32235i | 0.604397 | − | 0.219983i | ||||
\(827\) | 5.93147 | − | 12.7201i | 0.206257 | − | 0.442320i | −0.775781 | − | 0.631002i | \(-0.782644\pi\) |
0.982038 | + | 0.188682i | \(0.0604216\pi\) | |||||||
\(828\) | 20.1465 | + | 5.39825i | 0.700141 | + | 0.187602i | ||||
\(829\) | 21.5549 | − | 37.3342i | 0.748634 | − | 1.29667i | −0.199844 | − | 0.979828i | \(-0.564044\pi\) |
0.948478 | − | 0.316844i | \(-0.102623\pi\) | |||||||
\(830\) | −12.9511 | + | 1.99097i | −0.449539 | + | 0.0691077i | ||||
\(831\) | −2.97301 | − | 3.54310i | −0.103133 | − | 0.122909i | ||||
\(832\) | −139.104 | + | 12.1700i | −4.82255 | + | 0.421918i | ||||
\(833\) | −1.60404 | − | 1.12316i | −0.0555766 | − | 0.0389151i | ||||
\(834\) | 6.95079 | − | 19.0971i | 0.240686 | − | 0.661280i | ||||
\(835\) | −8.33210 | + | 16.8881i | −0.288344 | + | 0.584438i | ||||
\(836\) | −0.268637 | − | 1.30191i | −0.00929102 | − | 0.0450275i | ||||
\(837\) | 17.6170 | + | 17.6170i | 0.608933 | + | 0.608933i | ||||
\(838\) | −8.50633 | − | 18.2419i | −0.293846 | − | 0.630155i | ||||
\(839\) | −9.84832 | − | 55.8526i | −0.340002 | − | 1.92825i | −0.370782 | − | 0.928720i | \(-0.620910\pi\) |
0.0307802 | − | 0.999526i | \(-0.490201\pi\) | |||||||
\(840\) | −13.6314 | + | 5.99501i | −0.470327 | + | 0.206848i | ||||
\(841\) | −2.39185 | + | 2.00700i | −0.0824778 | + | 0.0692071i | ||||
\(842\) | 42.6977 | − | 29.8972i | 1.47146 | − | 1.03033i | ||||
\(843\) | −2.21057 | − | 8.24996i | −0.0761361 | − | 0.284144i | ||||
\(844\) | −73.2916 | − | 126.945i | −2.52280 | − | 4.36962i | ||||
\(845\) | −21.4001 | − | 26.6739i | −0.736187 | − | 0.917609i | ||||
\(846\) | 18.1918 | + | 49.9815i | 0.625447 | + | 1.71840i | ||||
\(847\) | 3.13016 | − | 11.6819i | 0.107553 | − | 0.401395i | ||||
\(848\) | −97.7170 | + | 26.1832i | −3.35562 | + | 0.899135i | ||||
\(849\) | −3.43418 | + | 19.4762i | −0.117861 | + | 0.668422i | ||||
\(850\) | −0.995516 | + | 4.48283i | −0.0341459 | + | 0.153760i | ||||
\(851\) | −1.66875 | + | 1.98874i | −0.0572041 | + | 0.0681732i | ||||
\(852\) | −13.1496 | + | 18.7795i | −0.450497 | + | 0.643377i | ||||
\(853\) | 41.3939 | − | 19.3023i | 1.41730 | − | 0.660897i | 0.445192 | − | 0.895435i | \(-0.353136\pi\) |
0.972107 | + | 0.234538i | \(0.0753578\pi\) | |||||||
\(854\) | 3.57909 | 0.122474 | ||||||||
\(855\) | 4.51016 | + | 24.5776i | 0.154244 | + | 0.840536i | ||||
\(856\) | −100.380 | −3.43093 | ||||||||
\(857\) | −17.7948 | + | 8.29783i | −0.607857 | + | 0.283449i | −0.702075 | − | 0.712103i | \(-0.747743\pi\) |
0.0942175 | + | 0.995552i | \(0.469965\pi\) | |||||||
\(858\) | −0.310490 | + | 0.443426i | −0.0106000 | + | 0.0151383i | ||||
\(859\) | −22.4224 | + | 26.7220i | −0.765042 | + | 0.911742i | −0.998156 | − | 0.0607079i | \(-0.980664\pi\) |
0.233114 | + | 0.972450i | \(0.425109\pi\) | |||||||
\(860\) | 103.842 | − | 25.3902i | 3.54099 | − | 0.865798i | ||||
\(861\) | 0.343757 | − | 1.94954i | 0.0117152 | − | 0.0664403i | ||||
\(862\) | 50.5172 | − | 13.5360i | 1.72062 | − | 0.461040i | ||||
\(863\) | 0.165571 | − | 0.617921i | 0.00563612 | − | 0.0210343i | −0.963051 | − | 0.269321i | \(-0.913201\pi\) |
0.968687 | + | 0.248287i | \(0.0798675\pi\) | |||||||
\(864\) | −25.2436 | − | 69.3562i | −0.858804 | − | 2.35954i | ||||
\(865\) | 12.3145 | + | 1.35091i | 0.418706 | + | 0.0459322i | ||||
\(866\) | 19.3469 | + | 33.5098i | 0.657435 | + | 1.13871i | ||||
\(867\) | 2.88669 | + | 10.7733i | 0.0980371 | + | 0.365879i | ||||
\(868\) | −32.8320 | + | 22.9892i | −1.11439 | + | 0.780306i | ||||
\(869\) | 0.138387 | − | 0.116121i | 0.00469447 | − | 0.00393913i | ||||
\(870\) | −19.0162 | − | 7.39894i | −0.644709 | − | 0.250848i | ||||
\(871\) | 7.31264 | + | 41.4720i | 0.247779 | + | 1.40523i | ||||
\(872\) | −68.8374 | − | 147.622i | −2.33113 | − | 4.99912i | ||||
\(873\) | −3.05114 | − | 3.05114i | −0.103265 | − | 0.103265i | ||||
\(874\) | −14.0518 | − | 11.1138i | −0.475309 | − | 0.375931i | ||||
\(875\) | −12.0609 | + | 2.39228i | −0.407733 | + | 0.0808737i | ||||
\(876\) | 2.26820 | − | 6.23182i | 0.0766353 | − | 0.210554i | ||||
\(877\) | 18.6179 | + | 13.0364i | 0.628683 | + | 0.440208i | 0.844006 | − | 0.536335i | \(-0.180191\pi\) |
−0.215323 | + | 0.976543i | \(0.569080\pi\) | |||||||
\(878\) | −94.8883 | + | 8.30165i | −3.20233 | + | 0.280167i | ||||
\(879\) | 0.427844 | + | 0.509885i | 0.0144308 | + | 0.0171980i | ||||
\(880\) | 0.272676 | + | 1.77373i | 0.00919189 | + | 0.0597924i | ||||
\(881\) | 26.0649 | − | 45.1458i | 0.878150 | − | 1.52100i | 0.0247803 | − | 0.999693i | \(-0.492111\pi\) |
0.853369 | − | 0.521307i | \(-0.174555\pi\) | |||||||
\(882\) | 38.9430 | + | 10.4347i | 1.31128 | + | 0.351356i | ||||
\(883\) | −13.4512 | + | 28.8463i | −0.452670 | + | 0.970755i | 0.539042 | + | 0.842279i | \(0.318786\pi\) |
−0.991713 | + | 0.128476i | \(0.958991\pi\) | |||||||
\(884\) | 9.08650 | − | 3.30721i | 0.305612 | − | 0.111234i | ||||
\(885\) | −0.596203 | − | 9.12152i | −0.0200411 | − | 0.306617i | ||||
\(886\) | 64.3021 | + | 37.1248i | 2.16027 | + | 1.24723i | ||||
\(887\) | 19.9904 | + | 28.5492i | 0.671210 | + | 0.958588i | 0.999900 | + | 0.0141497i | \(0.00450415\pi\) |
−0.328690 | + | 0.944438i | \(0.606607\pi\) | |||||||
\(888\) | 10.3481 | + | 0.905343i | 0.347260 | + | 0.0303813i | ||||
\(889\) | −4.60019 | − | 3.86002i | −0.154285 | − | 0.129461i | ||||
\(890\) | 77.0657 | + | 22.4777i | 2.58325 | + | 0.753454i | ||||
\(891\) | 0.280613 | + | 0.102135i | 0.00940089 | + | 0.00342164i | ||||
\(892\) | 44.7410 | − | 44.7410i | 1.49804 | − | 1.49804i | ||||
\(893\) | 1.94071 | − | 33.2423i | 0.0649432 | − | 1.11241i | ||||
\(894\) | 12.8496i | 0.429756i | ||||||||
\(895\) | −9.71822 | − | 0.213807i | −0.324844 | − | 0.00714677i | ||||
\(896\) | 33.7114 | − | 5.94423i | 1.12622 | − | 0.198583i | ||||
\(897\) | 0.463426 | + | 5.29699i | 0.0154733 | + | 0.176861i | ||||
\(898\) | −4.07034 | + | 46.5242i | −0.135829 | + | 1.55253i | ||||
\(899\) | −33.9633 | − | 5.98865i | −1.13274 | − | 0.199733i | ||||
\(900\) | −8.96969 | − | 68.3221i | −0.298990 | − | 2.27740i | ||||
\(901\) | 2.09432 | − | 1.20915i | 0.0697718 | − | 0.0402828i | ||||
\(902\) | −0.380534 | − | 0.177446i | −0.0126704 | − | 0.00590830i | ||||
\(903\) | −5.85506 | − | 2.73026i | −0.194844 | − | 0.0908573i | ||||
\(904\) | −118.190 | + | 68.2370i | −3.93094 | + | 2.26953i | ||||
\(905\) | 17.9216 | + | 3.56819i | 0.595733 | + | 0.118610i | ||||
\(906\) | −13.3112 | − | 2.34713i | −0.442236 | − | 0.0779781i | ||||
\(907\) | 1.41661 | − | 16.1919i | 0.0470376 | − | 0.537643i | −0.935720 | − | 0.352744i | \(-0.885249\pi\) |
0.982758 | − | 0.184899i | \(-0.0591957\pi\) | |||||||
\(908\) | −6.31084 | − | 72.1333i | −0.209433 | − | 2.39383i | ||||
\(909\) | −18.7716 | + | 3.30994i | −0.622614 | + | 0.109784i | ||||
\(910\) | 24.5613 | + | 25.6664i | 0.814200 | + | 0.850832i | ||||
\(911\) | − | 9.96658i | − | 0.330207i | −0.986276 | − | 0.165104i | \(-0.947204\pi\) | ||
0.986276 | − | 0.165104i | \(-0.0527959\pi\) | |||||||
\(912\) | −2.37378 | + | 40.6606i | −0.0786039 | + | 1.34641i | ||||
\(913\) | 0.0865573 | − | 0.0865573i | 0.00286463 | − | 0.00286463i | ||||
\(914\) | 91.5640 | + | 33.3266i | 3.02867 | + | 1.10235i | ||||
\(915\) | 0.495564 | − | 1.69906i | 0.0163828 | − | 0.0561693i | ||||
\(916\) | −7.25091 | − | 6.08424i | −0.239577 | − | 0.201029i | ||||
\(917\) | −5.74767 | − | 0.502856i | −0.189805 | − | 0.0166058i | ||||
\(918\) | 1.93588 | + | 2.76472i | 0.0638934 | + | 0.0912492i | ||||
\(919\) | −6.75011 | − | 3.89718i | −0.222666 | − | 0.128556i | 0.384518 | − | 0.923117i | \(-0.374368\pi\) |
−0.607184 | + | 0.794561i | \(0.707701\pi\) | |||||||
\(920\) | 23.3215 | + | 20.4599i | 0.768888 | + | 0.674543i | ||||
\(921\) | 11.9579 | − | 4.35232i | 0.394026 | − | 0.143414i | ||||
\(922\) | 26.3160 | − | 56.4349i | 0.866672 | − | 1.85858i | ||||
\(923\) | 33.1733 | + | 8.88877i | 1.09191 | + | 0.292577i | ||||
\(924\) | 0.110769 | − | 0.191858i | 0.00364404 | − | 0.00631166i | ||||
\(925\) | 8.17918 | + | 2.58213i | 0.268930 | + | 0.0849000i | ||||
\(926\) | 46.2061 | + | 55.0663i | 1.51843 | + | 1.80959i | ||||
\(927\) | 15.0467 | − | 1.31641i | 0.494197 | − | 0.0432366i | ||||
\(928\) | 83.6903 | + | 58.6006i | 2.74727 | + | 1.92366i | ||||
\(929\) | 14.1921 | − | 38.9925i | 0.465628 | − | 1.27930i | −0.455567 | − | 0.890202i | \(-0.650563\pi\) |
0.921195 | − | 0.389102i | \(-0.127214\pi\) | |||||||
\(930\) | 8.73649 | + | 25.7521i | 0.286481 | + | 0.844446i | ||||
\(931\) | −19.7966 | − | 15.6576i | −0.648809 | − | 0.513156i | ||||
\(932\) | 34.7541 | + | 34.7541i | 1.13841 | + | 1.13841i | ||||
\(933\) | 4.38639 | + | 9.40664i | 0.143604 | + | 0.307960i | ||||
\(934\) | 5.16261 | + | 29.2786i | 0.168926 | + | 0.958026i | ||||
\(935\) | −0.0172703 | − | 0.0392689i | −0.000564798 | − | 0.00128423i | ||||
\(936\) | −95.7697 | + | 80.3603i | −3.13033 | + | 2.62666i | ||||
\(937\) | −7.17499 | + | 5.02398i | −0.234397 | + | 0.164126i | −0.684874 | − | 0.728662i | \(-0.740143\pi\) |
0.450477 | + | 0.892788i | \(0.351254\pi\) | |||||||
\(938\) | −6.12014 | − | 22.8407i | −0.199830 | − | 0.745775i | ||||
\(939\) | −7.69773 | − | 13.3329i | −0.251206 | − | 0.435102i | ||||
\(940\) | −10.0134 | + | 91.2796i | −0.326602 | + | 2.97721i | ||||
\(941\) | −0.873533 | − | 2.40001i | −0.0284764 | − | 0.0782382i | 0.924640 | − | 0.380843i | \(-0.124366\pi\) |
−0.953116 | + | 0.302605i | \(0.902144\pi\) | |||||||
\(942\) | 4.84990 | − | 18.1001i | 0.158018 | − | 0.589732i | ||||
\(943\) | −3.98373 | + | 1.06744i | −0.129728 | + | 0.0347605i | ||||
\(944\) | −15.2034 | + | 86.2228i | −0.494829 | + | 2.80631i | ||||
\(945\) | −4.68972 | + | 7.72527i | −0.152557 | + | 0.251303i | ||||
\(946\) | −0.880763 | + | 1.04965i | −0.0286361 | + | 0.0341271i | ||||
\(947\) | 3.47463 | − | 4.96228i | 0.112910 | − | 0.161253i | −0.758719 | − | 0.651418i | \(-0.774175\pi\) |
0.871630 | + | 0.490165i | \(0.163064\pi\) | |||||||
\(948\) | −10.2474 | + | 4.77842i | −0.332818 | + | 0.155196i | ||||
\(949\) | −9.93468 | −0.322493 | ||||||||
\(950\) | −16.1777 | + | 56.9362i | −0.524874 | + | 1.84725i | ||||
\(951\) | −12.0655 | −0.391250 | ||||||||
\(952\) | −3.09012 | + | 1.44095i | −0.100151 | + | 0.0467013i | ||||
\(953\) | 14.6549 | − | 20.9293i | 0.474718 | − | 0.677967i | −0.508362 | − | 0.861143i | \(-0.669749\pi\) |
0.983080 | + | 0.183176i | \(0.0586379\pi\) | |||||||
\(954\) | −32.0048 | + | 38.1418i | −1.03619 | + | 1.23489i | ||||
\(955\) | 0.00258749 | − | 0.00426232i | 8.37292e−5 | − | 0.000137925i | ||||
\(956\) | −16.2115 | + | 91.9397i | −0.524316 | + | 2.97354i | ||||
\(957\) | 0.184127 | − | 0.0493368i | 0.00595199 | − | 0.00159483i | ||||
\(958\) | 11.2440 | − | 41.9633i | 0.363278 | − | 1.35577i | ||||
\(959\) | −3.29352 | − | 9.04887i | −0.106353 | − | 0.292203i | ||||
\(960\) | 4.22797 | − | 38.5411i | 0.136457 | − | 1.24391i | ||||
\(961\) | 7.48070 | + | 12.9569i | 0.241313 | + | 0.417966i | ||||
\(962\) | −6.41373 | − | 23.9364i | −0.206787 | − | 0.771739i | ||||
\(963\) | −22.9944 | + | 16.1008i | −0.740984 | + | 0.518843i | ||||
\(964\) | −28.8741 | + | 24.2283i | −0.929973 | + | 0.780340i | ||||
\(965\) | 15.3888 | + | 34.9907i | 0.495381 | + | 1.12639i | ||||
\(966\) | −0.518461 | − | 2.94034i | −0.0166812 | − | 0.0946038i | ||||
\(967\) | 23.9316 | + | 51.3215i | 0.769588 | + | 1.65039i | 0.759560 | + | 0.650438i | \(0.225415\pi\) |
0.0100288 | + | 0.999950i | \(0.496808\pi\) | |||||||
\(968\) | 71.2872 | + | 71.2872i | 2.29126 | + | 2.29126i | ||||
\(969\) | −0.196756 | − | 0.953550i | −0.00632072 | − | 0.0306324i | ||||
\(970\) | −3.28369 | − | 9.67916i | −0.105433 | − | 0.310779i | ||||
\(971\) | 17.6741 | − | 48.5591i | 0.567188 | − | 1.55834i | −0.241687 | − | 0.970354i | \(-0.577701\pi\) |
0.808875 | − | 0.587981i | \(-0.200077\pi\) | |||||||
\(972\) | −63.8579 | − | 44.7138i | −2.04824 | − | 1.43420i | ||||
\(973\) | 12.4121 | − | 1.08591i | 0.397912 | − | 0.0348128i | ||||
\(974\) | −23.3706 | − | 27.8520i | −0.748844 | − | 0.892437i | ||||
\(975\) | 15.5851 | − | 8.10596i | 0.499124 | − | 0.259598i | ||||
\(976\) | −8.47591 | + | 14.6807i | −0.271307 | + | 0.469918i | ||||
\(977\) | 5.27403 | + | 1.41317i | 0.168731 | + | 0.0452114i | 0.342196 | − | 0.939629i | \(-0.388829\pi\) |
−0.173464 | + | 0.984840i | \(0.555496\pi\) | |||||||
\(978\) | −14.5516 | + | 31.2059i | −0.465308 | + | 0.997855i | ||||
\(979\) | −0.704719 | + | 0.256497i | −0.0225229 | + | 0.00819767i | ||||
\(980\) | 52.3227 | + | 45.9025i | 1.67139 | + | 1.46630i | ||||
\(981\) | −39.4471 | − | 22.7748i | −1.25945 | − | 0.727144i | ||||
\(982\) | −19.4698 | − | 27.8058i | −0.621307 | − | 0.887318i | ||||
\(983\) | 61.5326 | + | 5.38341i | 1.96259 | + | 0.171704i | 0.996311 | − | 0.0858119i | \(-0.0273484\pi\) |
0.966274 | + | 0.257516i | \(0.0829040\pi\) | |||||||
\(984\) | 12.6413 | + | 10.6073i | 0.402991 | + | 0.338149i | ||||
\(985\) | 8.03522 | − | 27.5491i | 0.256023 | − | 0.877787i | ||||
\(986\) | −4.39019 | − | 1.59790i | −0.139812 | − | 0.0508875i | ||||
\(987\) | 3.92400 | − | 3.92400i | 0.124902 | − | 0.124902i | ||||
\(988\) | 119.408 | − | 35.7305i | 3.79886 | − | 1.13674i | ||||
\(989\) | 13.4592i | 0.427978i | ||||||||
\(990\) | 0.610660 | + | 0.638134i | 0.0194080 | + | 0.0202812i | ||||
\(991\) | 35.6180 | − | 6.28041i | 1.13144 | − | 0.199504i | 0.423583 | − | 0.905857i | \(-0.360772\pi\) |
0.707859 | + | 0.706354i | \(0.249661\pi\) | |||||||
\(992\) | −11.8670 | − | 135.640i | −0.376778 | − | 4.30659i | ||||
\(993\) | −0.958339 | + | 10.9539i | −0.0304120 | + | 0.347611i | ||||
\(994\) | −18.9914 | − | 3.34870i | −0.602372 | − | 0.106214i | ||||
\(995\) | −29.0283 | − | 5.77953i | −0.920258 | − | 0.183223i | ||||
\(996\) | −6.63503 | + | 3.83073i | −0.210239 | + | 0.121381i | ||||
\(997\) | 30.5123 | + | 14.2281i | 0.966335 | + | 0.450609i | 0.840720 | − | 0.541470i | \(-0.182132\pi\) |
0.125615 | + | 0.992079i | \(0.459910\pi\) | |||||||
\(998\) | −62.8600 | − | 29.3121i | −1.98980 | − | 0.927859i | ||||
\(999\) | 5.45948 | − | 3.15203i | 0.172730 | − | 0.0997259i |
(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 | 95.2.r.a.72.1 | yes | 96 | |
3.2 | odd | 2 | 855.2.dl.a.262.8 | 96 | |||
5.2 | odd | 4 | 475.2.bb.b.243.1 | 96 | |||
5.3 | odd | 4 | inner | 95.2.r.a.53.8 | yes | 96 | |
5.4 | even | 2 | 475.2.bb.b.357.8 | 96 | |||
15.8 | even | 4 | 855.2.dl.a.433.1 | 96 | |||
19.14 | odd | 18 | inner | 95.2.r.a.52.8 | yes | 96 | |
57.14 | even | 18 | 855.2.dl.a.622.1 | 96 | |||
95.14 | odd | 18 | 475.2.bb.b.432.1 | 96 | |||
95.33 | even | 36 | inner | 95.2.r.a.33.1 | ✓ | 96 | |
95.52 | even | 36 | 475.2.bb.b.318.8 | 96 | |||
285.128 | odd | 36 | 855.2.dl.a.793.8 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.r.a.33.1 | ✓ | 96 | 95.33 | even | 36 | inner | |
95.2.r.a.52.8 | yes | 96 | 19.14 | odd | 18 | inner | |
95.2.r.a.53.8 | yes | 96 | 5.3 | odd | 4 | inner | |
95.2.r.a.72.1 | yes | 96 | 1.1 | even | 1 | trivial | |
475.2.bb.b.243.1 | 96 | 5.2 | odd | 4 | |||
475.2.bb.b.318.8 | 96 | 95.52 | even | 36 | |||
475.2.bb.b.357.8 | 96 | 5.4 | even | 2 | |||
475.2.bb.b.432.1 | 96 | 95.14 | odd | 18 | |||
855.2.dl.a.262.8 | 96 | 3.2 | odd | 2 | |||
855.2.dl.a.433.1 | 96 | 15.8 | even | 4 | |||
855.2.dl.a.622.1 | 96 | 57.14 | even | 18 | |||
855.2.dl.a.793.8 | 96 | 285.128 | odd | 36 |