Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [98,2,Mod(9,98)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(98, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("98.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 98 = 2 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 98.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.782533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 23.1 | ||
Character | \(\chi\) | \(=\) | 98.23 |
Dual form | 98.2.g.b.81.1 |
$q$-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 \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{19}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0747301 | − | 0.997204i | 0.0528422 | − | 0.705130i | ||||
\(3\) | −2.39605 | + | 0.739084i | −1.38336 | + | 0.426711i | −0.895053 | − | 0.445960i | \(-0.852862\pi\) |
−0.488309 | + | 0.872671i | \(0.662386\pi\) | |||||||
\(4\) | −0.988831 | − | 0.149042i | −0.494415 | − | 0.0745211i | ||||
\(5\) | −2.18585 | − | 2.02817i | −0.977540 | − | 0.907024i | 0.0181440 | − | 0.999835i | \(-0.494224\pi\) |
−0.995684 | + | 0.0928111i | \(0.970415\pi\) | |||||||
\(6\) | 0.557960 | + | 2.44458i | 0.227786 | + | 0.997997i | ||||
\(7\) | −2.12971 | − | 1.56982i | −0.804955 | − | 0.593336i | ||||
\(8\) | −0.222521 | + | 0.974928i | −0.0786730 | + | 0.344689i | ||||
\(9\) | 2.71611 | − | 1.85181i | 0.905369 | − | 0.617270i | ||||
\(10\) | −2.18585 | + | 2.02817i | −0.691225 | + | 0.641363i | ||||
\(11\) | 1.16083 | + | 0.791437i | 0.350002 | + | 0.238627i | 0.725541 | − | 0.688179i | \(-0.241590\pi\) |
−0.375538 | + | 0.926807i | \(0.622542\pi\) | |||||||
\(12\) | 2.47945 | − | 0.373716i | 0.715754 | − | 0.107883i | ||||
\(13\) | 0.0398356 | − | 0.0191838i | 0.0110484 | − | 0.00532063i | −0.428351 | − | 0.903612i | \(-0.640905\pi\) |
0.439400 | + | 0.898292i | \(0.355191\pi\) | |||||||
\(14\) | −1.72458 | + | 2.00644i | −0.460914 | + | 0.536244i | ||||
\(15\) | 6.73639 | + | 3.24407i | 1.73933 | + | 0.837616i | ||||
\(16\) | 0.955573 | + | 0.294755i | 0.238893 | + | 0.0736888i | ||||
\(17\) | 2.61579 | − | 6.66491i | 0.634421 | − | 1.61648i | −0.144607 | − | 0.989489i | \(-0.546192\pi\) |
0.779028 | − | 0.626989i | \(-0.215713\pi\) | |||||||
\(18\) | −1.64366 | − | 2.84690i | −0.387414 | − | 0.671020i | ||||
\(19\) | −3.92039 | + | 6.79031i | −0.899398 | + | 1.55780i | −0.0711330 | + | 0.997467i | \(0.522661\pi\) |
−0.828265 | + | 0.560336i | \(0.810672\pi\) | |||||||
\(20\) | 1.85915 | + | 2.33130i | 0.415718 | + | 0.521294i | ||||
\(21\) | 6.26313 | + | 2.18733i | 1.36673 | + | 0.477315i | ||||
\(22\) | 0.875973 | − | 1.09844i | 0.186758 | − | 0.234187i | ||||
\(23\) | −2.12129 | − | 5.40496i | −0.442320 | − | 1.12701i | −0.962096 | − | 0.272710i | \(-0.912080\pi\) |
0.519777 | − | 0.854302i | \(-0.326015\pi\) | |||||||
\(24\) | −0.187382 | − | 2.50044i | −0.0382492 | − | 0.510400i | ||||
\(25\) | 0.290804 | + | 3.88050i | 0.0581607 | + | 0.776101i | ||||
\(26\) | −0.0161533 | − | 0.0411578i | −0.00316791 | − | 0.00807171i | ||||
\(27\) | −0.449178 | + | 0.563252i | −0.0864444 | + | 0.108398i | ||||
\(28\) | 1.87195 | + | 1.86970i | 0.353766 | + | 0.353341i | ||||
\(29\) | −2.49005 | − | 3.12243i | −0.462391 | − | 0.579820i | 0.494898 | − | 0.868951i | \(-0.335205\pi\) |
−0.957290 | + | 0.289131i | \(0.906634\pi\) | |||||||
\(30\) | 3.73841 | − | 6.47512i | 0.682538 | − | 1.18219i | ||||
\(31\) | −2.20619 | − | 3.82123i | −0.396243 | − | 0.686314i | 0.597016 | − | 0.802230i | \(-0.296353\pi\) |
−0.993259 | + | 0.115916i | \(0.963020\pi\) | |||||||
\(32\) | 0.365341 | − | 0.930874i | 0.0645838 | − | 0.164557i | ||||
\(33\) | −3.36634 | − | 1.03838i | −0.586004 | − | 0.180758i | ||||
\(34\) | −6.45080 | − | 3.10654i | −1.10630 | − | 0.532767i | ||||
\(35\) | 1.47136 | + | 7.75079i | 0.248706 | + | 1.31012i | ||||
\(36\) | −2.96177 | + | 1.42631i | −0.493628 | + | 0.237719i | ||||
\(37\) | −0.811886 | + | 0.122372i | −0.133473 | + | 0.0201179i | −0.215439 | − | 0.976517i | \(-0.569118\pi\) |
0.0819658 | + | 0.996635i | \(0.473880\pi\) | |||||||
\(38\) | 6.47835 | + | 4.41686i | 1.05093 | + | 0.716510i | ||||
\(39\) | −0.0812697 | + | 0.0754073i | −0.0130136 | + | 0.0120748i | ||||
\(40\) | 2.46371 | − | 1.67973i | 0.389547 | − | 0.265589i | ||||
\(41\) | −0.416645 | + | 1.82544i | −0.0650691 | + | 0.285086i | −0.996986 | − | 0.0775866i | \(-0.975279\pi\) |
0.931917 | + | 0.362673i | \(0.118136\pi\) | |||||||
\(42\) | 2.64926 | − | 6.08216i | 0.408790 | − | 0.938497i | ||||
\(43\) | 0.802527 | + | 3.51610i | 0.122384 | + | 0.536200i | 0.998532 | + | 0.0541584i | \(0.0172476\pi\) |
−0.876148 | + | 0.482042i | \(0.839895\pi\) | |||||||
\(44\) | −1.02990 | − | 0.955610i | −0.155264 | − | 0.144064i | ||||
\(45\) | −9.69277 | − | 1.46095i | −1.44491 | − | 0.217786i | ||||
\(46\) | −5.54837 | + | 1.71145i | −0.818063 | + | 0.252339i | ||||
\(47\) | −0.368729 | + | 4.92035i | −0.0537847 | + | 0.717707i | 0.903505 | + | 0.428577i | \(0.140985\pi\) |
−0.957290 | + | 0.289130i | \(0.906634\pi\) | |||||||
\(48\) | −2.50745 | −0.361919 | ||||||||
\(49\) | 2.07134 | + | 6.68652i | 0.295905 | + | 0.955217i | ||||
\(50\) | 3.89139 | 0.550325 | ||||||||
\(51\) | −1.34163 | + | 17.9028i | −0.187865 | + | 2.50689i | ||||
\(52\) | −0.0422499 | + | 0.0130324i | −0.00585900 | + | 0.00180726i | ||||
\(53\) | −5.60902 | − | 0.845424i | −0.770459 | − | 0.116128i | −0.247963 | − | 0.968770i | \(-0.579761\pi\) |
−0.522496 | + | 0.852642i | \(0.674999\pi\) | |||||||
\(54\) | 0.528109 | + | 0.490014i | 0.0718666 | + | 0.0666825i | ||||
\(55\) | −0.932217 | − | 4.08431i | −0.125700 | − | 0.550728i | ||||
\(56\) | 2.00437 | − | 1.72700i | 0.267845 | − | 0.230780i | ||||
\(57\) | 4.37484 | − | 19.1674i | 0.579462 | − | 2.53879i | ||||
\(58\) | −3.29978 | + | 2.24975i | −0.433282 | + | 0.295407i | ||||
\(59\) | 10.2300 | − | 9.49204i | 1.33183 | − | 1.23576i | 0.381556 | − | 0.924346i | \(-0.375388\pi\) |
0.950275 | − | 0.311413i | \(-0.100802\pi\) | |||||||
\(60\) | −6.17764 | − | 4.21185i | −0.797530 | − | 0.543747i | ||||
\(61\) | 2.31774 | − | 0.349343i | 0.296756 | − | 0.0447288i | 0.00102326 | − | 0.999999i | \(-0.499674\pi\) |
0.295733 | + | 0.955271i | \(0.404436\pi\) | |||||||
\(62\) | −3.97542 | + | 1.91446i | −0.504878 | + | 0.243137i | ||||
\(63\) | −8.69153 | − | 0.319976i | −1.09503 | − | 0.0403131i | ||||
\(64\) | −0.900969 | − | 0.433884i | −0.112621 | − | 0.0542355i | ||||
\(65\) | −0.125982 | − | 0.0388604i | −0.0156262 | − | 0.00482004i | ||||
\(66\) | −1.28704 | + | 3.27933i | −0.158424 | + | 0.403657i | ||||
\(67\) | −6.80846 | − | 11.7926i | −0.831786 | − | 1.44070i | −0.896621 | − | 0.442799i | \(-0.853985\pi\) |
0.0648349 | − | 0.997896i | \(-0.479348\pi\) | |||||||
\(68\) | −3.57992 | + | 6.20061i | −0.434129 | + | 0.751934i | ||||
\(69\) | 9.07744 | + | 11.3828i | 1.09280 | + | 1.37032i | ||||
\(70\) | 7.83908 | − | 0.888030i | 0.936949 | − | 0.106140i | ||||
\(71\) | 2.01729 | − | 2.52960i | 0.239408 | − | 0.300208i | −0.647583 | − | 0.761995i | \(-0.724220\pi\) |
0.886991 | + | 0.461787i | \(0.152792\pi\) | |||||||
\(72\) | 1.20099 | + | 3.06007i | 0.141538 | + | 0.360633i | ||||
\(73\) | 0.429343 | + | 5.72919i | 0.0502508 | + | 0.670551i | 0.964277 | + | 0.264896i | \(0.0853375\pi\) |
−0.914026 | + | 0.405655i | \(0.867043\pi\) | |||||||
\(74\) | 0.0613577 | + | 0.818761i | 0.00713268 | + | 0.0951790i | ||||
\(75\) | −3.56480 | − | 9.08296i | −0.411628 | − | 1.04881i | ||||
\(76\) | 4.88864 | − | 6.13016i | 0.560766 | − | 0.703178i | ||||
\(77\) | −1.22981 | − | 3.50782i | −0.140150 | − | 0.399753i | ||||
\(78\) | 0.0691232 | + | 0.0866777i | 0.00782666 | + | 0.00981432i | ||||
\(79\) | 4.13726 | − | 7.16595i | 0.465478 | − | 0.806232i | −0.533745 | − | 0.845646i | \(-0.679216\pi\) |
0.999223 | + | 0.0394136i | \(0.0125490\pi\) | |||||||
\(80\) | −1.49092 | − | 2.58235i | −0.166690 | − | 0.288716i | ||||
\(81\) | −2.94301 | + | 7.49866i | −0.327001 | + | 0.833185i | ||||
\(82\) | 1.78920 | + | 0.551896i | 0.197584 | + | 0.0609467i | ||||
\(83\) | −0.263645 | − | 0.126965i | −0.0289388 | − | 0.0139362i | 0.419358 | − | 0.907821i | \(-0.362255\pi\) |
−0.448297 | + | 0.893885i | \(0.647969\pi\) | |||||||
\(84\) | −5.86717 | − | 3.09637i | −0.640161 | − | 0.337842i | ||||
\(85\) | −19.2353 | + | 9.26322i | −2.08636 | + | 1.00474i | ||||
\(86\) | 3.56624 | − | 0.537524i | 0.384558 | − | 0.0579628i | ||||
\(87\) | 8.27404 | + | 5.64114i | 0.887070 | + | 0.604794i | ||||
\(88\) | −1.02990 | + | 0.955610i | −0.109788 | + | 0.101868i | ||||
\(89\) | 8.78354 | − | 5.98852i | 0.931054 | − | 0.634782i | 0.000131826 | − | 1.00000i | \(-0.499958\pi\) |
0.930922 | + | 0.365218i | \(0.119006\pi\) | |||||||
\(90\) | −2.18121 | + | 9.55649i | −0.229919 | + | 1.00734i | ||||
\(91\) | −0.114953 | − | 0.0216787i | −0.0120504 | − | 0.00227255i | ||||
\(92\) | 1.29203 | + | 5.66075i | 0.134703 | + | 0.590174i | ||||
\(93\) | 8.11036 | + | 7.52531i | 0.841005 | + | 0.780339i | ||||
\(94\) | 4.87904 | + | 0.735396i | 0.503234 | + | 0.0758503i | ||||
\(95\) | 22.3412 | − | 6.89136i | 2.29216 | − | 0.707039i | ||||
\(96\) | −0.187382 | + | 2.50044i | −0.0191246 | + | 0.255200i | ||||
\(97\) | 12.1394 | 1.23257 | 0.616283 | − | 0.787525i | \(-0.288638\pi\) | ||||
0.616283 | + | 0.787525i | \(0.288638\pi\) | |||||||
\(98\) | 6.82262 | − | 1.56586i | 0.689188 | − | 0.158176i | ||||
\(99\) | 4.61852 | 0.464178 | ||||||||
\(100\) | 0.290804 | − | 3.88050i | 0.0290804 | − | 0.388050i | ||||
\(101\) | −5.41138 | + | 1.66919i | −0.538453 | + | 0.166091i | −0.552041 | − | 0.833817i | \(-0.686151\pi\) |
0.0135883 | + | 0.999908i | \(0.495675\pi\) | |||||||
\(102\) | 17.7524 | + | 2.67575i | 1.75775 | + | 0.264939i | ||||
\(103\) | −2.88480 | − | 2.67671i | −0.284248 | − | 0.263744i | 0.525143 | − | 0.851014i | \(-0.324012\pi\) |
−0.809391 | + | 0.587271i | \(0.800202\pi\) | |||||||
\(104\) | 0.00983858 | + | 0.0431056i | 0.000964752 | + | 0.00422686i | ||||
\(105\) | −9.25395 | − | 17.4838i | −0.903093 | − | 1.70625i | ||||
\(106\) | −1.26222 | + | 5.53016i | −0.122598 | + | 0.537137i | ||||
\(107\) | −7.63396 | + | 5.20475i | −0.738003 | + | 0.503162i | −0.873022 | − | 0.487681i | \(-0.837843\pi\) |
0.135019 | + | 0.990843i | \(0.456890\pi\) | |||||||
\(108\) | 0.528109 | − | 0.490014i | 0.0508174 | − | 0.0471516i | ||||
\(109\) | 10.7015 | + | 7.29614i | 1.02501 | + | 0.698843i | 0.954360 | − | 0.298658i | \(-0.0965389\pi\) |
0.0706544 | + | 0.997501i | \(0.477491\pi\) | |||||||
\(110\) | −4.14255 | + | 0.624389i | −0.394977 | + | 0.0595332i | ||||
\(111\) | 1.85488 | − | 0.893263i | 0.176057 | − | 0.0847847i | ||||
\(112\) | −1.57238 | − | 2.12782i | −0.148576 | − | 0.201060i | ||||
\(113\) | 6.95916 | + | 3.35135i | 0.654662 | + | 0.315269i | 0.731567 | − | 0.681770i | \(-0.238789\pi\) |
−0.0769046 | + | 0.997038i | \(0.524504\pi\) | |||||||
\(114\) | −18.7869 | − | 5.79499i | −1.75955 | − | 0.542751i | ||||
\(115\) | −6.32535 | + | 16.1167i | −0.589842 | + | 1.50289i | ||||
\(116\) | 1.99687 | + | 3.45868i | 0.185404 | + | 0.321130i | ||||
\(117\) | 0.0726729 | − | 0.125873i | 0.00671862 | − | 0.0116370i | ||||
\(118\) | −8.70101 | − | 10.9107i | −0.800993 | − | 1.00441i | ||||
\(119\) | −16.0336 | + | 10.0880i | −1.46980 | + | 0.924768i | ||||
\(120\) | −4.66172 | + | 5.84562i | −0.425555 | + | 0.533629i | ||||
\(121\) | −3.29761 | − | 8.40217i | −0.299783 | − | 0.763834i | ||||
\(122\) | −0.175161 | − | 2.33736i | −0.0158584 | − | 0.211615i | ||||
\(123\) | −0.350852 | − | 4.68179i | −0.0316352 | − | 0.422143i | ||||
\(124\) | 1.61202 | + | 4.10737i | 0.144764 | + | 0.368853i | ||||
\(125\) | −2.06108 | + | 2.58451i | −0.184349 | + | 0.231166i | ||||
\(126\) | −0.968599 | + | 8.64331i | −0.0862897 | + | 0.770007i | ||||
\(127\) | −4.76382 | − | 5.97365i | −0.422721 | − | 0.530075i | 0.524177 | − | 0.851609i | \(-0.324373\pi\) |
−0.946898 | + | 0.321534i | \(0.895802\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | −4.52159 | − | 7.83163i | −0.398104 | − | 0.689536i | ||||
\(130\) | −0.0481665 | + | 0.122726i | −0.00422448 | + | 0.0107638i | ||||
\(131\) | −12.8775 | − | 3.97218i | −1.12511 | − | 0.347051i | −0.324292 | − | 0.945957i | \(-0.605126\pi\) |
−0.800819 | + | 0.598906i | \(0.795602\pi\) | |||||||
\(132\) | 3.17398 | + | 1.52851i | 0.276259 | + | 0.133039i | ||||
\(133\) | 19.0088 | − | 8.30709i | 1.64828 | − | 0.720316i | ||||
\(134\) | −12.2684 | + | 5.90816i | −1.05983 | + | 0.510387i | ||||
\(135\) | 2.12420 | − | 0.320172i | 0.182822 | − | 0.0275560i | ||||
\(136\) | 5.91574 | + | 4.03328i | 0.507271 | + | 0.345851i | ||||
\(137\) | −11.2882 | + | 10.4739i | −0.964415 | + | 0.894847i | −0.994504 | − | 0.104701i | \(-0.966612\pi\) |
0.0300885 | + | 0.999547i | \(0.490421\pi\) | |||||||
\(138\) | 12.0293 | − | 8.20143i | 1.02400 | − | 0.698152i | ||||
\(139\) | 2.27123 | − | 9.95091i | 0.192643 | − | 0.844025i | −0.782536 | − | 0.622606i | \(-0.786074\pi\) |
0.975179 | − | 0.221419i | \(-0.0710689\pi\) | |||||||
\(140\) | −0.299732 | − | 7.88352i | −0.0253320 | − | 0.666279i | ||||
\(141\) | −2.75306 | − | 12.0619i | −0.231849 | − | 1.01580i | ||||
\(142\) | −2.37177 | − | 2.20068i | −0.199035 | − | 0.184677i | ||||
\(143\) | 0.0614250 | + | 0.00925833i | 0.00513661 | + | 0.000774220i | ||||
\(144\) | 3.14127 | − | 0.968953i | 0.261772 | − | 0.0807461i | ||||
\(145\) | −0.889937 | + | 11.8754i | −0.0739053 | + | 0.986197i | ||||
\(146\) | 5.74525 | 0.475480 | ||||||||
\(147\) | −9.90493 | − | 14.4904i | −0.816945 | − | 1.19515i | ||||
\(148\) | 0.821057 | 0.0674905 | ||||||||
\(149\) | 0.900313 | − | 12.0138i | 0.0737565 | − | 0.984213i | −0.830443 | − | 0.557103i | \(-0.811913\pi\) |
0.904200 | − | 0.427109i | \(-0.140468\pi\) | |||||||
\(150\) | −9.32396 | + | 2.87606i | −0.761298 | + | 0.234829i | ||||
\(151\) | 8.63852 | + | 1.30205i | 0.702993 | + | 0.105959i | 0.490804 | − | 0.871270i | \(-0.336703\pi\) |
0.212188 | + | 0.977229i | \(0.431941\pi\) | |||||||
\(152\) | −5.74769 | − | 5.33308i | −0.466199 | − | 0.432570i | ||||
\(153\) | −5.23740 | − | 22.9465i | −0.423419 | − | 1.85512i | ||||
\(154\) | −3.58991 | + | 0.964231i | −0.289284 | + | 0.0776999i | ||||
\(155\) | −2.92771 | + | 12.8271i | −0.235160 | + | 1.03030i | ||||
\(156\) | 0.0916009 | − | 0.0624524i | 0.00733394 | − | 0.00500020i | ||||
\(157\) | −1.30965 | + | 1.21518i | −0.104522 | + | 0.0969820i | −0.730703 | − | 0.682696i | \(-0.760808\pi\) |
0.626181 | + | 0.779678i | \(0.284617\pi\) | |||||||
\(158\) | −6.83673 | − | 4.66121i | −0.543901 | − | 0.370826i | ||||
\(159\) | 14.0644 | − | 2.11986i | 1.11538 | − | 0.168116i | ||||
\(160\) | −2.68655 | + | 1.29377i | −0.212390 | + | 0.102282i | ||||
\(161\) | −3.96707 | + | 14.8410i | −0.312649 | + | 1.16964i | ||||
\(162\) | 7.25776 | + | 3.49515i | 0.570224 | + | 0.274605i | ||||
\(163\) | 10.5992 | + | 3.26943i | 0.830196 | + | 0.256082i | 0.680590 | − | 0.732664i | \(-0.261723\pi\) |
0.149606 | + | 0.988746i | \(0.452200\pi\) | |||||||
\(164\) | 0.684060 | − | 1.74296i | 0.0534161 | − | 0.136102i | ||||
\(165\) | 5.25229 | + | 9.09723i | 0.408890 | + | 0.708219i | ||||
\(166\) | −0.146312 | + | 0.253420i | −0.0113560 | + | 0.0196692i | ||||
\(167\) | −2.53077 | − | 3.17349i | −0.195837 | − | 0.245572i | 0.674211 | − | 0.738539i | \(-0.264484\pi\) |
−0.870048 | + | 0.492967i | \(0.835912\pi\) | |||||||
\(168\) | −3.52617 | + | 5.61937i | −0.272050 | + | 0.433544i | ||||
\(169\) | −8.10415 | + | 10.1623i | −0.623396 | + | 0.781714i | ||||
\(170\) | 7.79986 | + | 19.8737i | 0.598222 | + | 1.52424i | ||||
\(171\) | 1.92617 | + | 25.7030i | 0.147298 | + | 1.96556i | ||||
\(172\) | −0.269516 | − | 3.59644i | −0.0205504 | − | 0.274226i | ||||
\(173\) | −4.18201 | − | 10.6556i | −0.317952 | − | 0.810130i | −0.997098 | − | 0.0761262i | \(-0.975745\pi\) |
0.679146 | − | 0.734003i | \(-0.262350\pi\) | |||||||
\(174\) | 6.24369 | − | 7.82934i | 0.473333 | − | 0.593540i | ||||
\(175\) | 5.47236 | − | 8.72086i | 0.413672 | − | 0.659235i | ||||
\(176\) | 0.875973 | + | 1.09844i | 0.0660290 | + | 0.0827977i | ||||
\(177\) | −17.4962 | + | 30.3043i | −1.31509 | + | 2.27781i | ||||
\(178\) | −5.31538 | − | 9.20651i | −0.398404 | − | 0.690057i | ||||
\(179\) | −3.33049 | + | 8.48594i | −0.248932 | + | 0.634269i | −0.999653 | − | 0.0263508i | \(-0.991611\pi\) |
0.750720 | + | 0.660620i | \(0.229707\pi\) | |||||||
\(180\) | 9.36677 | + | 2.88926i | 0.698158 | + | 0.215353i | ||||
\(181\) | −14.4696 | − | 6.96820i | −1.07552 | − | 0.517942i | −0.189637 | − | 0.981854i | \(-0.560731\pi\) |
−0.885881 | + | 0.463912i | \(0.846445\pi\) | |||||||
\(182\) | −0.0302086 | + | 0.113012i | −0.00223921 | + | 0.00837700i | ||||
\(183\) | −5.29523 | + | 2.55005i | −0.391435 | + | 0.188505i | ||||
\(184\) | 5.74148 | − | 0.865389i | 0.423267 | − | 0.0637973i | ||||
\(185\) | 2.02285 | + | 1.37916i | 0.148723 | + | 0.101398i | ||||
\(186\) | 8.11036 | − | 7.52531i | 0.594680 | − | 0.551783i | ||||
\(187\) | 8.31133 | − | 5.66657i | 0.607785 | − | 0.414381i | ||||
\(188\) | 1.09795 | − | 4.81044i | 0.0800763 | − | 0.350837i | ||||
\(189\) | 1.84082 | − | 0.494435i | 0.133900 | − | 0.0359648i | ||||
\(190\) | −5.20253 | − | 22.7938i | −0.377431 | − | 1.65363i | ||||
\(191\) | 0.224941 | + | 0.208715i | 0.0162762 | + | 0.0151021i | 0.688269 | − | 0.725456i | \(-0.258371\pi\) |
−0.671993 | + | 0.740558i | \(0.734561\pi\) | |||||||
\(192\) | 2.47945 | + | 0.373716i | 0.178939 | + | 0.0269706i | ||||
\(193\) | −1.85578 | + | 0.572431i | −0.133582 | + | 0.0412045i | −0.360825 | − | 0.932633i | \(-0.617505\pi\) |
0.227243 | + | 0.973838i | \(0.427029\pi\) | |||||||
\(194\) | 0.907176 | − | 12.1054i | 0.0651315 | − | 0.869119i | ||||
\(195\) | 0.330582 | 0.0236735 | ||||||||
\(196\) | −1.05163 | − | 6.92055i | −0.0751162 | − | 0.494325i | ||||
\(197\) | 8.56573 | 0.610283 | 0.305142 | − | 0.952307i | \(-0.401296\pi\) | ||||
0.305142 | + | 0.952307i | \(0.401296\pi\) | |||||||
\(198\) | 0.345142 | − | 4.60560i | 0.0245282 | − | 0.327306i | ||||
\(199\) | 13.4987 | − | 4.16381i | 0.956901 | − | 0.295165i | 0.223303 | − | 0.974749i | \(-0.428316\pi\) |
0.733597 | + | 0.679584i | \(0.237840\pi\) | |||||||
\(200\) | −3.84792 | − | 0.579981i | −0.272089 | − | 0.0410108i | ||||
\(201\) | 25.0292 | + | 23.2237i | 1.76542 | + | 1.63807i | ||||
\(202\) | 1.26013 | + | 5.52099i | 0.0886624 | + | 0.388455i | ||||
\(203\) | 0.401447 | + | 10.5588i | 0.0281760 | + | 0.741083i | ||||
\(204\) | 3.99491 | − | 17.5028i | 0.279700 | − | 1.22544i | ||||
\(205\) | 4.61303 | − | 3.14511i | 0.322188 | − | 0.219664i | ||||
\(206\) | −2.88480 | + | 2.67671i | −0.200994 | + | 0.186495i | ||||
\(207\) | −15.7706 | − | 10.7522i | −1.09613 | − | 0.747331i | ||||
\(208\) | 0.0437203 | − | 0.00658978i | 0.00303146 | − | 0.000456919i | ||||
\(209\) | −9.92499 | + | 4.77962i | −0.686526 | + | 0.330613i | ||||
\(210\) | −18.1265 | + | 7.92150i | −1.25085 | + | 0.546636i | ||||
\(211\) | 6.96295 | + | 3.35318i | 0.479349 | + | 0.230842i | 0.657925 | − | 0.753084i | \(-0.271435\pi\) |
−0.178575 | + | 0.983926i | \(0.557149\pi\) | |||||||
\(212\) | 5.42037 | + | 1.67196i | 0.372273 | + | 0.114831i | ||||
\(213\) | −2.96394 | + | 7.55199i | −0.203086 | + | 0.517454i | ||||
\(214\) | 4.61971 | + | 8.00156i | 0.315797 | + | 0.546976i | ||||
\(215\) | 5.37704 | − | 9.31331i | 0.366711 | − | 0.635163i | ||||
\(216\) | −0.449178 | − | 0.563252i | −0.0305627 | − | 0.0383244i | ||||
\(217\) | −1.30010 | + | 11.6014i | −0.0882564 | + | 0.787557i | ||||
\(218\) | 8.07546 | − | 10.1263i | 0.546939 | − | 0.685840i | ||||
\(219\) | −5.26308 | − | 13.4101i | −0.355646 | − | 0.906171i | ||||
\(220\) | 0.313070 | + | 4.17763i | 0.0211072 | + | 0.281656i | ||||
\(221\) | −0.0236571 | − | 0.315682i | −0.00159135 | − | 0.0212350i | ||||
\(222\) | −0.752150 | − | 1.91645i | −0.0504810 | − | 0.128623i | ||||
\(223\) | −3.54590 | + | 4.44642i | −0.237451 | + | 0.297754i | −0.886252 | − | 0.463204i | \(-0.846700\pi\) |
0.648800 | + | 0.760959i | \(0.275271\pi\) | |||||||
\(224\) | −2.23937 | + | 1.40897i | −0.149624 | + | 0.0941409i | ||||
\(225\) | 7.97581 | + | 10.0013i | 0.531721 | + | 0.666757i | ||||
\(226\) | 3.86204 | − | 6.68925i | 0.256899 | − | 0.444962i | ||||
\(227\) | −7.67344 | − | 13.2908i | −0.509304 | − | 0.882140i | −0.999942 | − | 0.0107769i | \(-0.996570\pi\) |
0.490638 | − | 0.871364i | \(-0.336764\pi\) | |||||||
\(228\) | −7.18273 | + | 18.3013i | −0.475688 | + | 1.21203i | ||||
\(229\) | 19.2191 | + | 5.92832i | 1.27004 | + | 0.391754i | 0.855274 | − | 0.518175i | \(-0.173389\pi\) |
0.414762 | + | 0.909930i | \(0.363865\pi\) | |||||||
\(230\) | 15.5990 | + | 7.51207i | 1.02857 | + | 0.495331i | ||||
\(231\) | 5.53926 | + | 7.49599i | 0.364457 | + | 0.493200i | ||||
\(232\) | 3.59823 | − | 1.73282i | 0.236235 | − | 0.113765i | ||||
\(233\) | −4.63409 | + | 0.698476i | −0.303589 | + | 0.0457587i | −0.299070 | − | 0.954231i | \(-0.596676\pi\) |
−0.00451883 | + | 0.999990i | \(0.501438\pi\) | |||||||
\(234\) | −0.120090 | − | 0.0818763i | −0.00785056 | − | 0.00535242i | ||||
\(235\) | 10.7853 | − | 10.0073i | 0.703554 | − | 0.652803i | ||||
\(236\) | −11.5304 | + | 7.86132i | −0.750568 | + | 0.511728i | ||||
\(237\) | −4.61686 | + | 20.2278i | −0.299897 | + | 1.31394i | ||||
\(238\) | 8.86163 | + | 16.7426i | 0.574414 | + | 1.08526i | ||||
\(239\) | −4.13730 | − | 18.1267i | −0.267619 | − | 1.17252i | −0.912774 | − | 0.408465i | \(-0.866064\pi\) |
0.645154 | − | 0.764052i | \(-0.276793\pi\) | |||||||
\(240\) | 5.48090 | + | 5.08553i | 0.353791 | + | 0.328270i | ||||
\(241\) | −12.3873 | − | 1.86709i | −0.797937 | − | 0.120270i | −0.262596 | − | 0.964906i | \(-0.584579\pi\) |
−0.535341 | + | 0.844636i | \(0.679817\pi\) | |||||||
\(242\) | −8.62511 | + | 2.66049i | −0.554443 | + | 0.171023i | ||||
\(243\) | 1.67097 | − | 22.2976i | 0.107193 | − | 1.43039i | ||||
\(244\) | −2.34392 | −0.150054 | ||||||||
\(245\) | 9.03377 | − | 18.8167i | 0.577146 | − | 1.20216i | ||||
\(246\) | −4.69492 | −0.299337 | ||||||||
\(247\) | −0.0259069 | + | 0.345704i | −0.00164842 | + | 0.0219966i | ||||
\(248\) | 4.21635 | − | 1.30057i | 0.267738 | − | 0.0825864i | ||||
\(249\) | 0.725545 | + | 0.109358i | 0.0459795 | + | 0.00693030i | ||||
\(250\) | 2.42326 | + | 2.24846i | 0.153260 | + | 0.142205i | ||||
\(251\) | −4.63349 | − | 20.3006i | −0.292463 | − | 1.28136i | −0.881086 | − | 0.472957i | \(-0.843187\pi\) |
0.588622 | − | 0.808408i | \(-0.299670\pi\) | |||||||
\(252\) | 8.54676 | + | 1.61181i | 0.538395 | + | 0.101534i | ||||
\(253\) | 1.81524 | − | 7.95308i | 0.114123 | − | 0.500006i | ||||
\(254\) | −6.31294 | + | 4.30409i | −0.396109 | + | 0.270063i | ||||
\(255\) | 39.2424 | − | 36.4116i | 2.45745 | − | 2.28018i | ||||
\(256\) | 0.826239 | + | 0.563320i | 0.0516399 | + | 0.0352075i | ||||
\(257\) | −6.78421 | + | 1.02255i | −0.423187 | + | 0.0637852i | −0.357184 | − | 0.934034i | \(-0.616263\pi\) |
−0.0660036 | + | 0.997819i | \(0.521025\pi\) | |||||||
\(258\) | −8.14763 | + | 3.92369i | −0.507249 | + | 0.244278i | ||||
\(259\) | 1.92119 | + | 1.01390i | 0.119377 | + | 0.0630005i | ||||
\(260\) | 0.118783 | + | 0.0572031i | 0.00736664 | + | 0.00354759i | ||||
\(261\) | −12.5454 | − | 3.86974i | −0.776540 | − | 0.239531i | ||||
\(262\) | −4.92341 | + | 12.5446i | −0.304169 | + | 0.775010i | ||||
\(263\) | 7.10323 | + | 12.3032i | 0.438004 | + | 0.758645i | 0.997535 | − | 0.0701638i | \(-0.0223522\pi\) |
−0.559531 | + | 0.828809i | \(0.689019\pi\) | |||||||
\(264\) | 1.76142 | − | 3.05088i | 0.108408 | − | 0.187768i | ||||
\(265\) | 10.5458 | + | 13.2240i | 0.647823 | + | 0.812345i | ||||
\(266\) | −6.86333 | − | 19.5765i | −0.420818 | − | 1.20031i | ||||
\(267\) | −16.6198 | + | 20.8406i | −1.01712 | + | 1.27542i | ||||
\(268\) | 4.97482 | + | 12.6756i | 0.303885 | + | 0.774288i | ||||
\(269\) | −0.440107 | − | 5.87282i | −0.0268338 | − | 0.358072i | −0.994417 | − | 0.105520i | \(-0.966349\pi\) |
0.967583 | − | 0.252552i | \(-0.0812698\pi\) | |||||||
\(270\) | −0.160535 | − | 2.14219i | −0.00976984 | − | 0.130369i | ||||
\(271\) | 6.06013 | + | 15.4410i | 0.368127 | + | 0.937972i | 0.988164 | + | 0.153400i | \(0.0490221\pi\) |
−0.620037 | + | 0.784572i | \(0.712883\pi\) | |||||||
\(272\) | 4.46409 | − | 5.59779i | 0.270675 | − | 0.339416i | ||||
\(273\) | 0.291457 | − | 0.0330170i | 0.0176398 | − | 0.00199828i | ||||
\(274\) | 9.60106 | + | 12.0393i | 0.580021 | + | 0.727323i | ||||
\(275\) | −2.73360 | + | 4.73474i | −0.164843 | + | 0.285516i | ||||
\(276\) | −7.27955 | − | 12.6085i | −0.438177 | − | 0.758945i | ||||
\(277\) | 10.3069 | − | 26.2615i | 0.619280 | − | 1.57790i | −0.184409 | − | 0.982850i | \(-0.559037\pi\) |
0.803689 | − | 0.595050i | \(-0.202868\pi\) | |||||||
\(278\) | −9.75335 | − | 3.00851i | −0.584967 | − | 0.180439i | ||||
\(279\) | −13.0684 | − | 6.29343i | −0.782387 | − | 0.376778i | ||||
\(280\) | −7.88387 | − | 0.290242i | −0.471152 | − | 0.0173453i | ||||
\(281\) | 7.69522 | − | 3.70582i | 0.459058 | − | 0.221071i | −0.190038 | − | 0.981777i | \(-0.560861\pi\) |
0.649097 | + | 0.760706i | \(0.275147\pi\) | |||||||
\(282\) | −12.2339 | + | 1.84397i | −0.728521 | + | 0.109807i | ||||
\(283\) | 5.69147 | + | 3.88038i | 0.338323 | + | 0.230665i | 0.720549 | − | 0.693404i | \(-0.243890\pi\) |
−0.382226 | + | 0.924069i | \(0.624842\pi\) | |||||||
\(284\) | −2.37177 | + | 2.20068i | −0.140739 | + | 0.130587i | ||||
\(285\) | −48.4375 | + | 33.0241i | −2.86919 | + | 1.95618i | ||||
\(286\) | 0.0138227 | − | 0.0605613i | 0.000817355 | − | 0.00358107i | ||||
\(287\) | 3.75295 | − | 3.23361i | 0.221529 | − | 0.190874i | ||||
\(288\) | −0.731496 | − | 3.20489i | −0.0431038 | − | 0.188850i | ||||
\(289\) | −25.1168 | − | 23.3050i | −1.47746 | − | 1.37088i | ||||
\(290\) | 11.7757 | + | 1.77490i | 0.691492 | + | 0.104226i | ||||
\(291\) | −29.0866 | + | 8.97202i | −1.70509 | + | 0.525949i | ||||
\(292\) | 0.429343 | − | 5.72919i | 0.0251254 | − | 0.335275i | ||||
\(293\) | 15.5596 | 0.909003 | 0.454502 | − | 0.890746i | \(-0.349817\pi\) | ||||
0.454502 | + | 0.890746i | \(0.349817\pi\) | |||||||
\(294\) | −15.1900 | + | 8.79437i | −0.885901 | + | 0.512898i | ||||
\(295\) | −41.6126 | −2.42278 | ||||||||
\(296\) | 0.0613577 | − | 0.818761i | 0.00356634 | − | 0.0475895i | ||||
\(297\) | −0.967196 | + | 0.298340i | −0.0561224 | + | 0.0173115i | ||||
\(298\) | −11.9130 | − | 1.79559i | −0.690100 | − | 0.104016i | ||||
\(299\) | −0.188191 | − | 0.174615i | −0.0108833 | − | 0.0100983i | ||||
\(300\) | 2.17124 | + | 9.51282i | 0.125357 | + | 0.549223i | ||||
\(301\) | 3.81049 | − | 8.74810i | 0.219633 | − | 0.504232i | ||||
\(302\) | 1.94396 | − | 8.51706i | 0.111863 | − | 0.490102i | ||||
\(303\) | 11.7323 | − | 7.99894i | 0.674002 | − | 0.459527i | ||||
\(304\) | −5.74769 | + | 5.33308i | −0.329653 | + | 0.305873i | ||||
\(305\) | −5.77475 | − | 3.93715i | −0.330661 | − | 0.225441i | ||||
\(306\) | −23.2738 | + | 3.50796i | −1.33047 | + | 0.200537i | ||||
\(307\) | −7.88881 | + | 3.79905i | −0.450238 | + | 0.216823i | −0.645240 | − | 0.763980i | \(-0.723243\pi\) |
0.195002 | + | 0.980803i | \(0.437529\pi\) | |||||||
\(308\) | 0.693260 | + | 3.65193i | 0.0395022 | + | 0.208088i | ||||
\(309\) | 8.89045 | + | 4.28142i | 0.505760 | + | 0.243561i | ||||
\(310\) | 12.5725 | + | 3.87810i | 0.714069 | + | 0.220261i | ||||
\(311\) | −2.33253 | + | 5.94319i | −0.132266 | + | 0.337007i | −0.981629 | − | 0.190802i | \(-0.938891\pi\) |
0.849363 | + | 0.527809i | \(0.176986\pi\) | |||||||
\(312\) | −0.0554325 | − | 0.0960118i | −0.00313825 | − | 0.00543560i | ||||
\(313\) | −0.369874 | + | 0.640640i | −0.0209065 | + | 0.0362111i | −0.876289 | − | 0.481785i | \(-0.839989\pi\) |
0.855383 | + | 0.517996i | \(0.173322\pi\) | |||||||
\(314\) | 1.11391 | + | 1.39680i | 0.0628617 | + | 0.0788261i | ||||
\(315\) | 18.3494 | + | 18.3273i | 1.03387 | + | 1.03263i | ||||
\(316\) | −5.15908 | + | 6.46928i | −0.290221 | + | 0.363926i | ||||
\(317\) | −1.28666 | − | 3.27836i | −0.0722661 | − | 0.184131i | 0.890177 | − | 0.455615i | \(-0.150581\pi\) |
−0.962443 | + | 0.271484i | \(0.912485\pi\) | |||||||
\(318\) | −1.06290 | − | 14.1834i | −0.0596046 | − | 0.795368i | ||||
\(319\) | −0.419311 | − | 5.59532i | −0.0234769 | − | 0.313278i | ||||
\(320\) | 1.08939 | + | 2.77572i | 0.0608987 | + | 0.155167i | ||||
\(321\) | 14.4446 | − | 18.1130i | 0.806220 | − | 1.01097i | ||||
\(322\) | 14.5031 | + | 5.06505i | 0.808225 | + | 0.282264i | ||||
\(323\) | 35.0019 | + | 43.8910i | 1.94756 | + | 2.44216i | ||||
\(324\) | 4.02775 | − | 6.97628i | 0.223764 | − | 0.387571i | ||||
\(325\) | 0.0860272 | + | 0.149003i | 0.00477193 | + | 0.00826523i | ||||
\(326\) | 4.05237 | − | 10.3253i | 0.224440 | − | 0.571864i | ||||
\(327\) | −31.0337 | − | 9.57264i | −1.71617 | − | 0.529368i | ||||
\(328\) | −1.68696 | − | 0.812398i | −0.0931469 | − | 0.0448572i | ||||
\(329\) | 8.50934 | − | 9.90008i | 0.469135 | − | 0.545809i | ||||
\(330\) | 9.46430 | − | 4.55777i | 0.520993 | − | 0.250897i | ||||
\(331\) | 27.7529 | − | 4.18307i | 1.52544 | − | 0.229922i | 0.667862 | − | 0.744285i | \(-0.267210\pi\) |
0.857573 | + | 0.514363i | \(0.171971\pi\) | |||||||
\(332\) | 0.241777 | + | 0.164841i | 0.0132692 | + | 0.00904681i | ||||
\(333\) | −1.97856 | + | 1.83583i | −0.108424 | + | 0.100603i | ||||
\(334\) | −3.35374 | + | 2.28654i | −0.183508 | + | 0.125114i | ||||
\(335\) | −9.03513 | + | 39.5855i | −0.493642 | + | 2.16279i | ||||
\(336\) | 5.34015 | + | 3.93625i | 0.291329 | + | 0.214740i | ||||
\(337\) | −0.898790 | − | 3.93786i | −0.0489602 | − | 0.214509i | 0.944530 | − | 0.328425i | \(-0.106518\pi\) |
−0.993490 | + | 0.113916i | \(0.963661\pi\) | |||||||
\(338\) | 9.52824 | + | 8.84092i | 0.518268 | + | 0.480882i | ||||
\(339\) | −19.1514 | − | 2.88661i | −1.04016 | − | 0.156779i | ||||
\(340\) | 20.4010 | − | 6.29289i | 1.10640 | − | 0.341280i | ||||
\(341\) | 0.463265 | − | 6.18185i | 0.0250872 | − | 0.334766i | ||||
\(342\) | 25.7751 | 1.39376 | ||||||||
\(343\) | 6.08528 | − | 17.4920i | 0.328574 | − | 0.944478i | ||||
\(344\) | −3.60652 | −0.194451 | ||||||||
\(345\) | 3.24425 | − | 43.2915i | 0.174665 | − | 2.33074i | ||||
\(346\) | −10.9383 | + | 3.37402i | −0.588048 | + | 0.181389i | ||||
\(347\) | −8.04773 | − | 1.21300i | −0.432025 | − | 0.0651173i | −0.0705699 | − | 0.997507i | \(-0.522482\pi\) |
−0.361455 | + | 0.932390i | \(0.617720\pi\) | |||||||
\(348\) | −7.34085 | − | 6.81132i | −0.393511 | − | 0.365125i | ||||
\(349\) | 6.53119 | + | 28.6150i | 0.349607 | + | 1.53173i | 0.778076 | + | 0.628170i | \(0.216196\pi\) |
−0.428469 | + | 0.903556i | \(0.640947\pi\) | |||||||
\(350\) | −8.28753 | − | 6.10877i | −0.442987 | − | 0.326528i | ||||
\(351\) | −0.00708797 | + | 0.0310544i | −0.000378328 | + | 0.00165756i | ||||
\(352\) | 1.16083 | − | 0.791437i | 0.0618722 | − | 0.0421838i | ||||
\(353\) | −20.9512 | + | 19.4399i | −1.11512 | + | 1.03468i | −0.115977 | + | 0.993252i | \(0.537000\pi\) |
−0.999142 | + | 0.0414270i | \(0.986810\pi\) | |||||||
\(354\) | 28.9120 | + | 19.7119i | 1.53666 | + | 1.04767i | ||||
\(355\) | −9.53993 | + | 1.43791i | −0.506327 | + | 0.0763165i | ||||
\(356\) | −9.57798 | + | 4.61251i | −0.507632 | + | 0.244463i | ||||
\(357\) | 30.9614 | − | 36.0216i | 1.63865 | − | 1.90647i | ||||
\(358\) | 8.21333 | + | 3.95533i | 0.434088 | + | 0.209046i | ||||
\(359\) | 29.5971 | + | 9.12948i | 1.56207 | + | 0.481836i | 0.950857 | − | 0.309629i | \(-0.100205\pi\) |
0.611215 | + | 0.791465i | \(0.290681\pi\) | |||||||
\(360\) | 3.58116 | − | 9.12466i | 0.188744 | − | 0.480912i | ||||
\(361\) | −21.2388 | − | 36.7868i | −1.11783 | − | 1.93615i | ||||
\(362\) | −8.03003 | + | 13.9084i | −0.422049 | + | 0.731011i | ||||
\(363\) | 14.1112 | + | 17.6948i | 0.740644 | + | 0.928738i | ||||
\(364\) | 0.110438 | + | 0.0385695i | 0.00578855 | + | 0.00202159i | ||||
\(365\) | 10.6813 | − | 13.3939i | 0.559083 | − | 0.701068i | ||||
\(366\) | 2.14721 | + | 5.47099i | 0.112236 | + | 0.285973i | ||||
\(367\) | 0.0801579 | + | 1.06963i | 0.00418421 | + | 0.0558344i | 0.998905 | − | 0.0467836i | \(-0.0148971\pi\) |
−0.994721 | + | 0.102618i | \(0.967278\pi\) | |||||||
\(368\) | −0.433908 | − | 5.79009i | −0.0226190 | − | 0.301830i | ||||
\(369\) | 2.24872 | + | 5.72964i | 0.117064 | + | 0.298273i | ||||
\(370\) | 1.52647 | − | 1.91413i | 0.0793572 | − | 0.0995108i | ||||
\(371\) | 10.6184 | + | 10.6057i | 0.551282 | + | 0.550619i | ||||
\(372\) | −6.89818 | − | 8.65005i | −0.357654 | − | 0.448484i | ||||
\(373\) | −3.56049 | + | 6.16694i | −0.184355 | + | 0.319312i | −0.943359 | − | 0.331774i | \(-0.892353\pi\) |
0.759004 | + | 0.651086i | \(0.225686\pi\) | |||||||
\(374\) | −5.02962 | − | 8.71156i | −0.260075 | − | 0.450464i | ||||
\(375\) | 3.02828 | − | 7.71594i | 0.156380 | − | 0.398449i | ||||
\(376\) | −4.71494 | − | 1.45436i | −0.243154 | − | 0.0750031i | ||||
\(377\) | −0.159093 | − | 0.0766151i | −0.00819370 | − | 0.00394588i | ||||
\(378\) | −0.355487 | − | 1.87262i | −0.0182843 | − | 0.0963174i | ||||
\(379\) | 9.67037 | − | 4.65700i | 0.496734 | − | 0.239214i | −0.168705 | − | 0.985667i | \(-0.553959\pi\) |
0.665439 | + | 0.746452i | \(0.268244\pi\) | |||||||
\(380\) | −23.1188 | + | 3.48460i | −1.18597 | + | 0.178756i | ||||
\(381\) | 15.8294 | + | 10.7923i | 0.810965 | + | 0.552906i | ||||
\(382\) | 0.224941 | − | 0.208715i | 0.0115090 | − | 0.0106788i | ||||
\(383\) | 8.34034 | − | 5.68635i | 0.426172 | − | 0.290559i | −0.331178 | − | 0.943568i | \(-0.607446\pi\) |
0.757350 | + | 0.653009i | \(0.226494\pi\) | |||||||
\(384\) | 0.557960 | − | 2.44458i | 0.0284733 | − | 0.124750i | ||||
\(385\) | −4.42627 | + | 10.1618i | −0.225584 | + | 0.517894i | ||||
\(386\) | 0.432148 | + | 1.89336i | 0.0219958 | + | 0.0963697i | ||||
\(387\) | 8.69090 | + | 8.06397i | 0.441783 | + | 0.409915i | ||||
\(388\) | −12.0038 | − | 1.80928i | −0.609400 | − | 0.0918523i | ||||
\(389\) | −0.962849 | + | 0.296999i | −0.0488184 | + | 0.0150585i | −0.319068 | − | 0.947732i | \(-0.603370\pi\) |
0.270250 | + | 0.962790i | \(0.412894\pi\) | |||||||
\(390\) | 0.0247044 | − | 0.329657i | 0.00125096 | − | 0.0166929i | ||||
\(391\) | −41.5724 | −2.10241 | ||||||||
\(392\) | −6.97979 | + | 0.531513i | −0.352533 | + | 0.0268455i | ||||
\(393\) | 33.7909 | 1.70453 | ||||||||
\(394\) | 0.640118 | − | 8.54178i | 0.0322487 | − | 0.430329i | ||||
\(395\) | −23.5772 | + | 7.27259i | −1.18630 | + | 0.365924i | ||||
\(396\) | −4.56693 | − | 0.688354i | −0.229497 | − | 0.0345911i | ||||
\(397\) | 7.41374 | + | 6.87895i | 0.372085 | + | 0.345245i | 0.843946 | − | 0.536429i | \(-0.180227\pi\) |
−0.471861 | + | 0.881673i | \(0.656417\pi\) | |||||||
\(398\) | −3.14341 | − | 13.7722i | −0.157565 | − | 0.690336i | ||||
\(399\) | −39.4065 | + | 33.9534i | −1.97279 | + | 1.69979i | ||||
\(400\) | −0.865915 | + | 3.79382i | −0.0432957 | + | 0.189691i | ||||
\(401\) | 12.4868 | − | 8.51335i | 0.623560 | − | 0.425136i | −0.209894 | − | 0.977724i | \(-0.567312\pi\) |
0.833455 | + | 0.552588i | \(0.186360\pi\) | |||||||
\(402\) | 25.0292 | − | 23.2237i | 1.24834 | − | 1.15829i | ||||
\(403\) | −0.161191 | − | 0.109898i | −0.00802948 | − | 0.00547441i | ||||
\(404\) | 5.59972 | − | 0.844022i | 0.278597 | − | 0.0419917i | ||||
\(405\) | 21.6415 | − | 10.4220i | 1.07538 | − | 0.517873i | ||||
\(406\) | 10.5593 | + | 0.388736i | 0.524048 | + | 0.0192926i | ||||
\(407\) | −1.03931 | − | 0.500504i | −0.0515166 | − | 0.0248091i | ||||
\(408\) | −17.1554 | − | 5.29173i | −0.849317 | − | 0.261980i | ||||
\(409\) | −2.77649 | + | 7.07439i | −0.137289 | + | 0.349806i | −0.982939 | − | 0.183931i | \(-0.941118\pi\) |
0.845650 | + | 0.533737i | \(0.179213\pi\) | |||||||
\(410\) | −2.79158 | − | 4.83516i | −0.137866 | − | 0.238792i | ||||
\(411\) | 19.3060 | − | 33.4390i | 0.952295 | − | 1.64942i | ||||
\(412\) | 2.45364 | + | 3.07677i | 0.120882 | + | 0.151581i | ||||
\(413\) | −36.6877 | + | 4.15607i | −1.80528 | + | 0.204507i | ||||
\(414\) | −11.9007 | + | 14.9230i | −0.584887 | + | 0.733425i | ||||
\(415\) | 0.318781 | + | 0.812241i | 0.0156484 | + | 0.0398714i | ||||
\(416\) | −0.00330413 | − | 0.0440906i | −0.000161998 | − | 0.00216172i | ||||
\(417\) | 1.91257 | + | 25.5215i | 0.0936592 | + | 1.24979i | ||||
\(418\) | 4.02456 | + | 10.2544i | 0.196848 | + | 0.501560i | ||||
\(419\) | −6.49539 | + | 8.14496i | −0.317320 | + | 0.397907i | −0.914754 | − | 0.404011i | \(-0.867616\pi\) |
0.597434 | + | 0.801918i | \(0.296187\pi\) | |||||||
\(420\) | 6.54476 | + | 18.6678i | 0.319352 | + | 0.910895i | ||||
\(421\) | −24.5326 | − | 30.7630i | −1.19565 | − | 1.49930i | −0.819835 | − | 0.572600i | \(-0.805935\pi\) |
−0.375813 | − | 0.926696i | \(-0.622636\pi\) | |||||||
\(422\) | 3.86414 | − | 6.69289i | 0.188104 | − | 0.325805i | ||||
\(423\) | 8.11004 | + | 14.0470i | 0.394324 | + | 0.682989i | ||||
\(424\) | 2.07235 | − | 5.28027i | 0.100642 | − | 0.256433i | ||||
\(425\) | 26.6239 | + | 8.21239i | 1.29145 | + | 0.398359i | ||||
\(426\) | 7.30938 | + | 3.52001i | 0.354141 | + | 0.170545i | ||||
\(427\) | −5.48452 | − | 2.89443i | −0.265414 | − | 0.140071i | ||||
\(428\) | 8.32442 | − | 4.00883i | 0.402376 | − | 0.193774i | ||||
\(429\) | −0.154020 | + | 0.0232148i | −0.00743616 | + | 0.00112082i | ||||
\(430\) | −8.88544 | − | 6.05799i | −0.428494 | − | 0.292142i | ||||
\(431\) | 1.14317 | − | 1.06070i | 0.0550644 | − | 0.0510923i | −0.652161 | − | 0.758081i | \(-0.726137\pi\) |
0.707225 | + | 0.706989i | \(0.249947\pi\) | |||||||
\(432\) | −0.595244 | + | 0.405830i | −0.0286387 | + | 0.0195255i | ||||
\(433\) | 5.16225 | − | 22.6173i | 0.248082 | − | 1.08692i | −0.685364 | − | 0.728201i | \(-0.740357\pi\) |
0.933446 | − | 0.358718i | \(-0.116786\pi\) | |||||||
\(434\) | 11.4718 | + | 2.16344i | 0.550666 | + | 0.103848i | ||||
\(435\) | −6.64458 | − | 29.1118i | −0.318583 | − | 1.39580i | ||||
\(436\) | −9.49451 | − | 8.80962i | −0.454704 | − | 0.421904i | ||||
\(437\) | 45.0176 | + | 6.78531i | 2.15348 | + | 0.324586i | ||||
\(438\) | −13.7659 | + | 4.24623i | −0.657761 | + | 0.202892i | ||||
\(439\) | −2.76164 | + | 36.8515i | −0.131806 | + | 1.75883i | 0.404253 | + | 0.914647i | \(0.367531\pi\) |
−0.536059 | + | 0.844180i | \(0.680088\pi\) | |||||||
\(440\) | 4.18934 | 0.199719 | ||||||||
\(441\) | 18.0081 | + | 14.3256i | 0.857530 | + | 0.682170i | ||||
\(442\) | −0.316567 | −0.0150575 | ||||||||
\(443\) | −2.07160 | + | 27.6436i | −0.0984248 | + | 1.31339i | 0.701233 | + | 0.712932i | \(0.252633\pi\) |
−0.799658 | + | 0.600456i | \(0.794986\pi\) | |||||||
\(444\) | −1.96730 | + | 0.606830i | −0.0933637 | + | 0.0287989i | ||||
\(445\) | −31.3452 | − | 4.72453i | −1.48590 | − | 0.223964i | ||||
\(446\) | 4.16900 | + | 3.86827i | 0.197408 | + | 0.183168i | ||||
\(447\) | 6.72205 | + | 29.4512i | 0.317942 | + | 1.39299i | ||||
\(448\) | 1.23768 | + | 2.33840i | 0.0584751 | + | 0.110479i | ||||
\(449\) | 0.383042 | − | 1.67822i | 0.0180769 | − | 0.0791999i | −0.965085 | − | 0.261937i | \(-0.915639\pi\) |
0.983162 | + | 0.182737i | \(0.0584958\pi\) | |||||||
\(450\) | 10.5694 | − | 7.20611i | 0.498247 | − | 0.339699i | ||||
\(451\) | −1.92838 | + | 1.78927i | −0.0908037 | + | 0.0842535i | ||||
\(452\) | −6.38193 | − | 4.35113i | −0.300181 | − | 0.204660i | ||||
\(453\) | −21.6607 | + | 3.26482i | −1.01771 | + | 0.153395i | ||||
\(454\) | −13.8271 | + | 6.65876i | −0.648936 | + | 0.312511i | ||||
\(455\) | 0.207302 | + | 0.280531i | 0.00971848 | + | 0.0131515i | ||||
\(456\) | 17.7134 | + | 8.53031i | 0.829504 | + | 0.399468i | ||||
\(457\) | 32.3067 | + | 9.96529i | 1.51124 | + | 0.466157i | 0.936052 | − | 0.351862i | \(-0.114452\pi\) |
0.575191 | + | 0.818019i | \(0.304928\pi\) | |||||||
\(458\) | 7.34799 | − | 18.7224i | 0.343349 | − | 0.874839i | ||||
\(459\) | 2.57907 | + | 4.46708i | 0.120381 | + | 0.208505i | ||||
\(460\) | 8.65678 | − | 14.9940i | 0.403624 | − | 0.699098i | ||||
\(461\) | 5.31448 | + | 6.66415i | 0.247520 | + | 0.310380i | 0.890034 | − | 0.455893i | \(-0.150680\pi\) |
−0.642514 | + | 0.766274i | \(0.722109\pi\) | |||||||
\(462\) | 7.88898 | − | 4.96360i | 0.367028 | − | 0.230927i | ||||
\(463\) | −3.11052 | + | 3.90047i | −0.144558 | + | 0.181270i | −0.848839 | − | 0.528651i | \(-0.822698\pi\) |
0.704281 | + | 0.709921i | \(0.251270\pi\) | |||||||
\(464\) | −1.45908 | − | 3.71766i | −0.0677359 | − | 0.172588i | ||||
\(465\) | −2.46539 | − | 32.8983i | −0.114330 | − | 1.52562i | ||||
\(466\) | 0.350217 | + | 4.67333i | 0.0162235 | + | 0.216488i | ||||
\(467\) | 2.02642 | + | 5.16323i | 0.0937715 | + | 0.238926i | 0.970062 | − | 0.242857i | \(-0.0780846\pi\) |
−0.876291 | + | 0.481783i | \(0.839989\pi\) | |||||||
\(468\) | −0.0906217 | + | 0.113636i | −0.00418899 | + | 0.00525283i | ||||
\(469\) | −4.01219 | + | 35.8029i | −0.185266 | + | 1.65322i | ||||
\(470\) | −9.17331 | − | 11.5030i | −0.423133 | − | 0.530592i | ||||
\(471\) | 2.23988 | − | 3.87958i | 0.103208 | − | 0.178762i | ||||
\(472\) | 6.97767 | + | 12.0857i | 0.321173 | + | 0.556288i | ||||
\(473\) | −1.85118 | + | 4.71673i | −0.0851173 | + | 0.216875i | ||||
\(474\) | 19.8262 | + | 6.11557i | 0.910647 | + | 0.280897i | ||||
\(475\) | −27.4899 | − | 13.2384i | −1.26132 | − | 0.607421i | ||||
\(476\) | 17.3580 | − | 7.58567i | 0.795604 | − | 0.347689i | ||||
\(477\) | −16.8003 | + | 8.09058i | −0.769232 | + | 0.370442i | ||||
\(478\) | −18.3852 | + | 2.77112i | −0.840918 | + | 0.126748i | ||||
\(479\) | −23.3038 | − | 15.8883i | −1.06478 | − | 0.725953i | −0.101602 | − | 0.994825i | \(-0.532397\pi\) |
−0.963176 | + | 0.268872i | \(0.913349\pi\) | |||||||
\(480\) | 5.48090 | − | 5.08553i | 0.250168 | − | 0.232122i | ||||
\(481\) | −0.0299944 | + | 0.0204498i | −0.00136763 | + | 0.000932433i | ||||
\(482\) | −2.78757 | + | 12.2131i | −0.126970 | + | 0.556293i | ||||
\(483\) | −1.46347 | − | 38.4919i | −0.0665900 | − | 1.75144i | ||||
\(484\) | 2.00850 | + | 8.79981i | 0.0912954 | + | 0.399991i | ||||
\(485\) | −26.5348 | − | 24.6207i | −1.20488 | − | 1.11797i | ||||
\(486\) | −22.1103 | − | 3.33260i | −1.00295 | − | 0.151170i | ||||
\(487\) | −19.9279 | + | 6.14694i | −0.903018 | + | 0.278544i | −0.711286 | − | 0.702903i | \(-0.751887\pi\) |
−0.191733 | + | 0.981447i | \(0.561411\pi\) | |||||||
\(488\) | −0.175161 | + | 2.33736i | −0.00792918 | + | 0.105808i | ||||
\(489\) | −27.8127 | −1.25773 | ||||||||
\(490\) | −18.0890 | − | 10.4147i | −0.817178 | − | 0.470487i | ||||
\(491\) | −12.8953 | −0.581956 | −0.290978 | − | 0.956730i | \(-0.593981\pi\) | ||||
−0.290978 | + | 0.956730i | \(0.593981\pi\) | |||||||
\(492\) | −0.350852 | + | 4.68179i | −0.0158176 | + | 0.211071i | ||||
\(493\) | −27.3242 | + | 8.42838i | −1.23062 | + | 0.379595i | ||||
\(494\) | 0.342801 | + | 0.0516690i | 0.0154234 | + | 0.00232470i | ||||
\(495\) | −10.0954 | − | 9.36713i | −0.453753 | − | 0.421021i | ||||
\(496\) | −0.981847 | − | 4.30175i | −0.0440862 | − | 0.193154i | ||||
\(497\) | −8.26725 | + | 2.22054i | −0.370837 | + | 0.0996047i | ||||
\(498\) | 0.163272 | − | 0.715343i | 0.00731641 | − | 0.0320553i | ||||
\(499\) | −17.8054 | + | 12.1395i | −0.797080 | + | 0.543440i | −0.891995 | − | 0.452045i | \(-0.850695\pi\) |
0.0949148 | + | 0.995485i | \(0.469742\pi\) | |||||||
\(500\) | 2.42326 | − | 2.24846i | 0.108372 | − | 0.100554i | ||||
\(501\) | 8.40934 | + | 5.73339i | 0.375701 | + | 0.256149i | ||||
\(502\) | −20.5901 | + | 3.10346i | −0.918983 | + | 0.138514i | ||||
\(503\) | 20.7506 | − | 9.99294i | 0.925221 | − | 0.445563i | 0.0902890 | − | 0.995916i | \(-0.471221\pi\) |
0.834932 | + | 0.550352i | \(0.185507\pi\) | |||||||
\(504\) | 2.24600 | − | 8.40241i | 0.100045 | − | 0.374273i | ||||
\(505\) | 15.2138 | + | 7.32660i | 0.677007 | + | 0.326029i | ||||
\(506\) | −7.79519 | − | 2.40450i | −0.346539 | − | 0.106893i | ||||
\(507\) | 11.9072 | − | 30.3390i | 0.528817 | − | 1.34740i | ||||
\(508\) | 3.82029 | + | 6.61694i | 0.169498 | + | 0.293579i | ||||
\(509\) | 15.3718 | − | 26.6247i | 0.681342 | − | 1.18012i | −0.293230 | − | 0.956042i | \(-0.594730\pi\) |
0.974572 | − | 0.224077i | \(-0.0719366\pi\) | |||||||
\(510\) | −33.3772 | − | 41.8537i | −1.47797 | − | 1.85331i | ||||
\(511\) | 8.07941 | − | 12.8755i | 0.357412 | − | 0.569579i | ||||
\(512\) | 0.623490 | − | 0.781831i | 0.0275546 | − | 0.0345524i | ||||
\(513\) | −2.06370 | − | 5.25822i | −0.0911146 | − | 0.232156i | ||||
\(514\) | 0.512711 | + | 6.84165i | 0.0226147 | + | 0.301772i | ||||
\(515\) | 0.876924 | + | 11.7017i | 0.0386419 | + | 0.515640i | ||||
\(516\) | 3.30385 | + | 8.41806i | 0.145444 | + | 0.370585i | ||||
\(517\) | −4.32218 | + | 5.41984i | −0.190089 | + | 0.238364i | ||||
\(518\) | 1.15463 | − | 1.84004i | 0.0507316 | − | 0.0808469i | ||||
\(519\) | 17.8957 | + | 22.4405i | 0.785534 | + | 0.985029i | ||||
\(520\) | 0.0659199 | − | 0.114177i | 0.00289078 | − | 0.00500697i | ||||
\(521\) | −0.285784 | − | 0.494992i | −0.0125204 | − | 0.0216860i | 0.859697 | − | 0.510804i | \(-0.170652\pi\) |
−0.872218 | + | 0.489118i | \(0.837319\pi\) | |||||||
\(522\) | −4.79644 | + | 12.2211i | −0.209934 | + | 0.534904i | ||||
\(523\) | 3.39015 | + | 1.04572i | 0.148241 | + | 0.0457263i | 0.367988 | − | 0.929831i | \(-0.380047\pi\) |
−0.219747 | + | 0.975557i | \(0.570523\pi\) | |||||||
\(524\) | 12.1416 | + | 5.84710i | 0.530410 | + | 0.255432i | ||||
\(525\) | −6.66661 | + | 24.9402i | −0.290955 | + | 1.08848i | ||||
\(526\) | 12.7996 | − | 6.16395i | 0.558088 | − | 0.268761i | ||||
\(527\) | −31.2391 | + | 4.70854i | −1.36080 | + | 0.205107i | ||||
\(528\) | −2.91071 | − | 1.98449i | −0.126673 | − | 0.0863639i | ||||
\(529\) | −7.85353 | + | 7.28701i | −0.341458 | + | 0.316826i | ||||
\(530\) | 13.9751 | − | 9.52808i | 0.607041 | − | 0.413873i | ||||
\(531\) | 10.2083 | − | 44.7254i | 0.443001 | − | 1.94092i | ||||
\(532\) | −20.0346 | + | 5.38119i | −0.868612 | + | 0.233304i | ||||
\(533\) | 0.0184216 | + | 0.0807104i | 0.000797929 | + | 0.00349596i | ||||
\(534\) | 19.5403 | + | 18.1308i | 0.845592 | + | 0.784595i | ||||
\(535\) | 27.2428 | + | 4.10618i | 1.17781 | + | 0.177526i | ||||
\(536\) | 13.0120 | − | 4.01366i | 0.562031 | − | 0.173364i | ||||
\(537\) | 1.70819 | − | 22.7943i | 0.0737141 | − | 0.983646i | ||||
\(538\) | −5.88929 | −0.253905 | ||||||||
\(539\) | −2.88750 | + | 9.40122i | −0.124374 | + | 0.404939i | ||||
\(540\) | −2.14820 | −0.0924436 | ||||||||
\(541\) | −3.10358 | + | 41.4144i | −0.133433 | + | 1.78054i | 0.382540 | + | 0.923939i | \(0.375050\pi\) |
−0.515973 | + | 0.856605i | \(0.672569\pi\) | |||||||
\(542\) | 15.8507 | − | 4.88928i | 0.680844 | − | 0.210013i | ||||
\(543\) | 39.8201 | + | 6.00191i | 1.70884 | + | 0.257567i | ||||
\(544\) | −5.24854 | − | 4.86993i | −0.225029 | − | 0.208797i | ||||
\(545\) | −8.59396 | − | 37.6526i | −0.368125 | − | 1.61286i | ||||
\(546\) | −0.0111440 | − | 0.293109i | −0.000476921 | − | 0.0125439i | ||||
\(547\) | 3.22104 | − | 14.1123i | 0.137722 | − | 0.603398i | −0.858211 | − | 0.513297i | \(-0.828424\pi\) |
0.995933 | − | 0.0901010i | \(-0.0287190\pi\) | |||||||
\(548\) | 12.7232 | − | 8.67451i | 0.543507 | − | 0.370557i | ||||
\(549\) | 5.64831 | − | 5.24086i | 0.241064 | − | 0.223675i | ||||
\(550\) | 4.51722 | + | 3.07979i | 0.192615 | + | 0.131323i | ||||
\(551\) | 30.9642 | − | 4.66710i | 1.31912 | − | 0.198825i | ||||
\(552\) | −13.1173 | + | 6.31695i | −0.558309 | + | 0.268867i | ||||
\(553\) | −20.0604 | + | 8.76664i | −0.853056 | + | 0.372796i | ||||
\(554\) | −25.4178 | − | 12.2406i | −1.07990 | − | 0.520052i | ||||
\(555\) | −5.86617 | − | 1.80947i | −0.249005 | − | 0.0768078i | ||||
\(556\) | −3.72897 | + | 9.50126i | −0.158143 | + | 0.402943i | ||||
\(557\) | 8.08219 | + | 13.9988i | 0.342453 | + | 0.593147i | 0.984888 | − | 0.173194i | \(-0.0554088\pi\) |
−0.642434 | + | 0.766341i | \(0.722075\pi\) | |||||||
\(558\) | −7.25244 | + | 12.5616i | −0.307020 | + | 0.531775i | ||||
\(559\) | 0.0994214 | + | 0.124670i | 0.00420508 | + | 0.00527300i | ||||
\(560\) | −0.878593 | + | 7.84014i | −0.0371273 | + | 0.331306i | ||||
\(561\) | −15.7263 | + | 19.7202i | −0.663966 | + | 0.832586i | ||||
\(562\) | −3.12040 | − | 7.95064i | −0.131626 | − | 0.335378i | ||||
\(563\) | 0.0296107 | + | 0.395127i | 0.00124794 | + | 0.0166526i | 0.997793 | − | 0.0664012i | \(-0.0211517\pi\) |
−0.996545 | + | 0.0830538i | \(0.973533\pi\) | |||||||
\(564\) | 0.924571 | + | 12.3375i | 0.0389314 | + | 0.519504i | ||||
\(565\) | −8.41453 | − | 21.4399i | −0.354002 | − | 0.901982i | ||||
\(566\) | 4.29486 | − | 5.38558i | 0.180526 | − | 0.226373i | ||||
\(567\) | 18.0393 | − | 11.3500i | 0.757579 | − | 0.476655i | ||||
\(568\) | 2.01729 | + | 2.52960i | 0.0846435 | + | 0.106140i | ||||
\(569\) | 14.8748 | − | 25.7640i | 0.623585 | − | 1.08008i | −0.365228 | − | 0.930918i | \(-0.619009\pi\) |
0.988813 | − | 0.149163i | \(-0.0476578\pi\) | |||||||
\(570\) | 29.3120 | + | 50.7699i | 1.22775 | + | 2.12652i | ||||
\(571\) | 2.76925 | − | 7.05593i | 0.115889 | − | 0.295282i | −0.861146 | − | 0.508357i | \(-0.830253\pi\) |
0.977036 | + | 0.213076i | \(0.0683481\pi\) | |||||||
\(572\) | −0.0593590 | − | 0.0183098i | −0.00248193 | − | 0.000765573i | ||||
\(573\) | −0.693230 | − | 0.333842i | −0.0289601 | − | 0.0139464i | ||||
\(574\) | −2.94411 | − | 3.98410i | −0.122885 | − | 0.166293i | ||||
\(575\) | 20.3571 | − | 9.80346i | 0.848949 | − | 0.408832i | ||||
\(576\) | −3.25060 | + | 0.489949i | −0.135442 | + | 0.0204145i | ||||
\(577\) | 24.4598 | + | 16.6764i | 1.01827 | + | 0.694247i | 0.952797 | − | 0.303607i | \(-0.0981911\pi\) |
0.0654759 | + | 0.997854i | \(0.479143\pi\) | |||||||
\(578\) | −25.1168 | + | 23.3050i | −1.04472 | + | 0.969361i | ||||
\(579\) | 4.02346 | − | 2.74315i | 0.167209 | − | 0.114001i | ||||
\(580\) | 2.64993 | − | 11.6101i | 0.110032 | − | 0.482084i | ||||
\(581\) | 0.362176 | + | 0.684273i | 0.0150256 | + | 0.0283884i | ||||
\(582\) | 6.77329 | + | 29.6757i | 0.280762 | + | 1.23010i | ||||
\(583\) | −5.84200 | − | 5.42058i | −0.241951 | − | 0.224498i | ||||
\(584\) | −5.68108 | − | 0.856285i | −0.235085 | − | 0.0354333i | ||||
\(585\) | −0.414144 | + | 0.127746i | −0.0171227 | + | 0.00528167i | ||||
\(586\) | 1.16277 | − | 15.5161i | 0.0480337 | − | 0.640965i | ||||
\(587\) | 26.1620 | 1.07982 | 0.539910 | − | 0.841723i | \(-0.318458\pi\) | ||||
0.539910 | + | 0.841723i | \(0.318458\pi\) | |||||||
\(588\) | 7.63463 | + | 15.8048i | 0.314847 | + | 0.651778i | ||||
\(589\) | 34.5965 | 1.42552 | ||||||||
\(590\) | −3.10972 | + | 41.4963i | −0.128025 | + | 1.70837i | ||||
\(591\) | −20.5239 | + | 6.33080i | −0.844242 | + | 0.260414i | ||||
\(592\) | −0.811886 | − | 0.122372i | −0.0333683 | − | 0.00502947i | ||||
\(593\) | 10.1355 | + | 9.40433i | 0.416213 | + | 0.386190i | 0.860295 | − | 0.509797i | \(-0.170279\pi\) |
−0.444081 | + | 0.895986i | \(0.646470\pi\) | |||||||
\(594\) | 0.225228 | + | 0.986786i | 0.00924120 | + | 0.0404883i | ||||
\(595\) | 55.5071 | + | 10.4679i | 2.27557 | + | 0.429143i | ||||
\(596\) | −2.68083 | + | 11.7455i | −0.109811 | + | 0.481113i | ||||
\(597\) | −29.2663 | + | 19.9534i | −1.19779 | + | 0.816639i | ||||
\(598\) | −0.188191 | + | 0.174615i | −0.00769569 | + | 0.00714055i | ||||
\(599\) | 22.0336 | + | 15.0223i | 0.900269 | + | 0.613793i | 0.922516 | − | 0.385960i | \(-0.126130\pi\) |
−0.0222468 | + | 0.999753i | \(0.507082\pi\) | |||||||
\(600\) | 9.64848 | − | 1.45427i | 0.393897 | − | 0.0593705i | ||||
\(601\) | 27.4128 | − | 13.2013i | 1.11819 | − | 0.538493i | 0.218859 | − | 0.975757i | \(-0.429767\pi\) |
0.899333 | + | 0.437264i | \(0.144052\pi\) | |||||||
\(602\) | −8.43888 | − | 4.45358i | −0.343943 | − | 0.181514i | ||||
\(603\) | −40.3302 | − | 19.4220i | −1.64237 | − | 0.790924i | ||||
\(604\) | −8.34797 | − | 2.57501i | −0.339674 | − | 0.104776i | ||||
\(605\) | −9.83295 | + | 25.0539i | −0.399766 | + | 1.01859i | ||||
\(606\) | −7.09981 | − | 12.2972i | −0.288410 | − | 0.499541i | ||||
\(607\) | −4.65489 | + | 8.06250i | −0.188936 | + | 0.327247i | −0.944896 | − | 0.327371i | \(-0.893837\pi\) |
0.755960 | + | 0.654618i | \(0.227171\pi\) | |||||||
\(608\) | 4.88864 | + | 6.13016i | 0.198261 | + | 0.248611i | ||||
\(609\) | −8.76573 | − | 25.0027i | −0.355205 | − | 1.01316i | ||||
\(610\) | −4.35769 | + | 5.46437i | −0.176438 | + | 0.221246i | ||||
\(611\) | 0.0797025 | + | 0.203079i | 0.00322442 | + | 0.00821568i | ||||
\(612\) | 1.75890 | + | 23.4708i | 0.0710992 | + | 0.948753i | ||||
\(613\) | −1.59613 | − | 21.2989i | −0.0644671 | − | 0.860254i | −0.931904 | − | 0.362706i | \(-0.881853\pi\) |
0.867436 | − | 0.497548i | \(-0.165766\pi\) | |||||||
\(614\) | 3.19890 | + | 8.15065i | 0.129097 | + | 0.328934i | ||||
\(615\) | −8.72855 | + | 10.9453i | −0.351969 | + | 0.441355i | ||||
\(616\) | 3.69353 | − | 0.418412i | 0.148817 | − | 0.0168583i | ||||
\(617\) | −18.7753 | − | 23.5435i | −0.755866 | − | 0.947826i | 0.243893 | − | 0.969802i | \(-0.421575\pi\) |
−0.999758 | + | 0.0219767i | \(0.993004\pi\) | |||||||
\(618\) | 4.93383 | − | 8.54564i | 0.198468 | − | 0.343756i | ||||
\(619\) | −8.31262 | − | 14.3979i | −0.334113 | − | 0.578700i | 0.649201 | − | 0.760617i | \(-0.275103\pi\) |
−0.983314 | + | 0.181917i | \(0.941770\pi\) | |||||||
\(620\) | 4.80680 | − | 12.2475i | 0.193046 | − | 0.491872i | ||||
\(621\) | 3.99719 | + | 1.23297i | 0.160402 | + | 0.0494774i | ||||
\(622\) | 5.75226 | + | 2.77014i | 0.230645 | + | 0.111073i | ||||
\(623\) | −28.1073 | − | 1.03476i | −1.12610 | − | 0.0414568i | ||||
\(624\) | −0.0998858 | + | 0.0481025i | −0.00399863 | + | 0.00192564i | ||||
\(625\) | 28.9866 | − | 4.36903i | 1.15947 | − | 0.174761i | ||||
\(626\) | 0.611208 | + | 0.416715i | 0.0244288 | + | 0.0166553i | ||||
\(627\) | 20.2482 | − | 18.7876i | 0.808637 | − | 0.750306i | ||||
\(628\) | 1.47614 | − | 1.00641i | 0.0589044 | − | 0.0401603i | ||||
\(629\) | −1.30812 | + | 5.73125i | −0.0521582 | + | 0.228520i | ||||
\(630\) | 19.6473 | − | 16.9285i | 0.782767 | − | 0.674446i | ||||
\(631\) | 6.04350 | + | 26.4783i | 0.240588 | + | 1.05408i | 0.940484 | + | 0.339839i | \(0.110373\pi\) |
−0.699896 | + | 0.714245i | \(0.746770\pi\) | |||||||
\(632\) | 6.06566 | + | 5.62811i | 0.241279 | + | 0.223874i | ||||
\(633\) | −19.1619 | − | 2.88819i | −0.761616 | − | 0.114795i | ||||
\(634\) | −3.36534 | + | 1.03807i | −0.133655 | + | 0.0412271i | ||||
\(635\) | −1.70258 | + | 22.7193i | −0.0675647 | + | 0.901588i | ||||
\(636\) | −14.2232 | −0.563987 | ||||||||
\(637\) | 0.210786 | + | 0.226625i | 0.00835164 | + | 0.00897923i | ||||
\(638\) | −5.61100 | −0.222142 | ||||||||
\(639\) | 0.794831 | − | 10.6063i | 0.0314430 | − | 0.419578i | ||||
\(640\) | 2.84937 | − | 0.878914i | 0.112631 | − | 0.0347421i | ||||
\(641\) | 28.2143 | + | 4.25262i | 1.11440 | + | 0.167968i | 0.680326 | − | 0.732910i | \(-0.261838\pi\) |
0.434072 | + | 0.900878i | \(0.357076\pi\) | |||||||
\(642\) | −16.9829 | − | 15.7578i | −0.670261 | − | 0.621911i | ||||
\(643\) | −1.72015 | − | 7.53648i | −0.0678362 | − | 0.297210i | 0.929618 | − | 0.368526i | \(-0.120137\pi\) |
−0.997454 | + | 0.0713159i | \(0.977280\pi\) | |||||||
\(644\) | 6.13471 | − | 14.0840i | 0.241741 | − | 0.554988i | ||||
\(645\) | −6.00035 | + | 26.2893i | −0.236264 | + | 1.03514i | ||||
\(646\) | 46.3840 | − | 31.6241i | 1.82495 | − | 1.24423i | ||||
\(647\) | −17.4293 | + | 16.1720i | −0.685216 | + | 0.635788i | −0.943922 | − | 0.330169i | \(-0.892894\pi\) |
0.258706 | + | 0.965956i | \(0.416704\pi\) | |||||||
\(648\) | −6.65577 | − | 4.53783i | −0.261463 | − | 0.178263i | ||||
\(649\) | 19.3876 | − | 2.92221i | 0.761029 | − | 0.114707i | ||||
\(650\) | 0.155016 | − | 0.0746516i | 0.00608021 | − | 0.00292808i | ||||
\(651\) | −5.45934 | − | 28.7585i | −0.213968 | − | 1.12714i | ||||
\(652\) | −9.99356 | − | 4.81265i | −0.391378 | − | 0.188478i | ||||
\(653\) | −16.2989 | − | 5.02754i | −0.637825 | − | 0.196743i | −0.0410570 | − | 0.999157i | \(-0.513073\pi\) |
−0.596768 | + | 0.802414i | \(0.703549\pi\) | |||||||
\(654\) | −11.8650 | + | 30.2316i | −0.463959 | + | 1.18215i | ||||
\(655\) | 20.0920 | + | 34.8003i | 0.785058 | + | 1.35976i | ||||
\(656\) | −0.936193 | + | 1.62153i | −0.0365522 | + | 0.0633103i | ||||
\(657\) | 11.7755 | + | 14.7660i | 0.459406 | + | 0.576077i | ||||
\(658\) | −9.23650 | − | 9.22538i | −0.360076 | − | 0.359643i | ||||
\(659\) | 26.7737 | − | 33.5732i | 1.04296 | − | 1.30783i | 0.0929239 | − | 0.995673i | \(-0.470379\pi\) |
0.950032 | − | 0.312152i | \(-0.101050\pi\) | |||||||
\(660\) | −3.83775 | − | 9.77844i | −0.149384 | − | 0.380625i | ||||
\(661\) | −3.44173 | − | 45.9267i | −0.133868 | − | 1.78634i | −0.510397 | − | 0.859939i | \(-0.670502\pi\) |
0.376529 | − | 0.926405i | \(-0.377117\pi\) | |||||||
\(662\) | −2.09740 | − | 27.9879i | −0.0815178 | − | 1.08778i | ||||
\(663\) | 0.289999 | + | 0.738905i | 0.0112626 | + | 0.0286967i | ||||
\(664\) | 0.182448 | − | 0.228782i | 0.00708035 | − | 0.00887848i | ||||
\(665\) | −58.3986 | − | 20.3951i | −2.26460 | − | 0.790888i | ||||
\(666\) | 1.68284 | + | 2.11022i | 0.0652089 | + | 0.0817693i | ||||
\(667\) | −11.5945 | + | 20.0822i | −0.448940 | + | 0.777586i | ||||
\(668\) | 2.02952 | + | 3.51523i | 0.0785245 | + | 0.136008i | ||||
\(669\) | 5.20989 | − | 13.2746i | 0.201426 | − | 0.513225i | ||||
\(670\) | 38.7996 | + | 11.9681i | 1.49896 | + | 0.462368i | ||||
\(671\) | 2.96697 | + | 1.42882i | 0.114539 | + | 0.0551590i | ||||
\(672\) | 4.32431 | − | 5.03106i | 0.166814 | − | 0.194077i | ||||
\(673\) | −37.4751 | + | 18.0471i | −1.44456 | + | 0.695664i | −0.981641 | − | 0.190737i | \(-0.938912\pi\) |
−0.462920 | + | 0.886400i | \(0.653198\pi\) | |||||||
\(674\) | −3.99401 | + | 0.602000i | −0.153844 | + | 0.0231882i | ||||
\(675\) | −2.31632 | − | 1.57924i | −0.0891553 | − | 0.0607850i | ||||
\(676\) | 9.52824 | − | 8.84092i | 0.366471 | − | 0.340035i | ||||
\(677\) | −38.1648 | + | 26.0203i | −1.46679 | + | 1.00004i | −0.473956 | + | 0.880548i | \(0.657174\pi\) |
−0.992835 | + | 0.119493i | \(0.961873\pi\) | |||||||
\(678\) | −4.30973 | + | 18.8822i | −0.165514 | + | 0.725165i | ||||
\(679\) | −25.8534 | − | 19.0566i | −0.992161 | − | 0.731326i | ||||
\(680\) | −4.75072 | − | 20.8143i | −0.182182 | − | 0.798190i | ||||
\(681\) | 28.2090 | + | 26.1741i | 1.08097 | + | 1.00299i | ||||
\(682\) | −6.12994 | − | 0.923940i | −0.234728 | − | 0.0353795i | ||||
\(683\) | 34.7767 | − | 10.7272i | 1.33069 | − | 0.410465i | 0.453780 | − | 0.891114i | \(-0.350075\pi\) |
0.876913 | + | 0.480649i | \(0.159599\pi\) | |||||||
\(684\) | 1.92617 | − | 25.7030i | 0.0736491 | − | 0.982779i | ||||
\(685\) | 45.9171 | 1.75440 | ||||||||
\(686\) | −16.9883 | − | 7.37544i | −0.648617 | − | 0.281596i | ||||
\(687\) | −50.4316 | −1.92409 | ||||||||
\(688\) | −0.269516 | + | 3.59644i | −0.0102752 | + | 0.137113i | ||||
\(689\) | −0.239657 | + | 0.0739245i | −0.00913022 | + | 0.00281630i | ||||
\(690\) | −42.9280 | − | 6.47036i | −1.63424 | − | 0.246322i | ||||
\(691\) | −31.4096 | − | 29.1439i | −1.19488 | − | 1.10869i | −0.991570 | − | 0.129571i | \(-0.958640\pi\) |
−0.203309 | − | 0.979115i | \(-0.565169\pi\) | |||||||
\(692\) | 2.54717 | + | 11.1599i | 0.0968288 | + | 0.424235i | ||||
\(693\) | −9.83611 | − | 7.25024i | −0.373643 | − | 0.275414i | ||||
\(694\) | −1.81102 | + | 7.93458i | −0.0687452 | + | 0.301193i | ||||
\(695\) | −25.1467 | + | 17.1447i | −0.953868 | + | 0.650336i | ||||
\(696\) | −7.34085 | + | 6.81132i | −0.278254 | + | 0.258182i | ||||
\(697\) | 11.0766 | + | 7.55187i | 0.419554 | + | 0.286047i | ||||
\(698\) | 29.0231 | − | 4.37453i | 1.09854 | − | 0.165578i | ||||
\(699\) | 10.5873 | − | 5.09857i | 0.400448 | − | 0.192845i | ||||
\(700\) | −6.71102 | + | 7.80784i | −0.253653 | + | 0.295109i | ||||
\(701\) | −27.2931 | − | 13.1436i | −1.03084 | − | 0.496428i | −0.159550 | − | 0.987190i | \(-0.551004\pi\) |
−0.871294 | + | 0.490761i | \(0.836719\pi\) | |||||||
\(702\) | 0.0304379 | + | 0.00938885i | 0.00114880 | + | 0.000354359i | ||||
\(703\) | 2.35196 | − | 5.99270i | 0.0887060 | − | 0.226019i | ||||
\(704\) | −0.702476 | − | 1.21672i | −0.0264756 | − | 0.0458570i | ||||
\(705\) | −18.4459 | + | 31.9492i | −0.694712 | + | 1.20328i | ||||
\(706\) | 17.8198 | + | 22.3453i | 0.670657 | + | 0.840978i | ||||
\(707\) | 14.1450 | + | 4.94000i | 0.531978 | + | 0.185788i | ||||
\(708\) | 21.8174 | − | 27.3581i | 0.819947 | − | 1.02818i | ||||
\(709\) | 8.61305 | + | 21.9457i | 0.323470 | + | 0.824188i | 0.996423 | + | 0.0845032i | \(0.0269303\pi\) |
−0.672953 | + | 0.739685i | \(0.734974\pi\) | |||||||
\(710\) | 0.720972 | + | 9.62071i | 0.0270576 | + | 0.361059i | ||||
\(711\) | −2.03273 | − | 27.1249i | −0.0762333 | − | 1.01726i | ||||
\(712\) | 3.88385 | + | 9.89589i | 0.145553 | + | 0.370864i | ||||
\(713\) | −15.9736 | + | 20.0303i | −0.598217 | + | 0.750141i | ||||
\(714\) | −33.6071 | − | 33.5667i | −1.25772 | − | 1.25620i | ||||
\(715\) | −0.115488 | − | 0.144817i | −0.00431901 | − | 0.00541587i | ||||
\(716\) | 4.55805 | − | 7.89478i | 0.170342 | − | 0.295042i | ||||
\(717\) | 23.3103 | + | 40.3747i | 0.870540 | + | 1.50782i | ||||
\(718\) | 11.3157 | − | 28.8320i | 0.422300 | − | 1.07600i | ||||
\(719\) | −18.5668 | − | 5.72709i | −0.692424 | − | 0.213584i | −0.0714828 | − | 0.997442i | \(-0.522773\pi\) |
−0.620941 | + | 0.783857i | \(0.713249\pi\) | |||||||
\(720\) | −8.83152 | − | 4.25304i | −0.329131 | − | 0.158501i | ||||
\(721\) | 1.94185 | + | 10.2292i | 0.0723184 | + | 0.380956i | ||||
\(722\) | −38.2711 | + | 18.4304i | −1.42430 | + | 0.685908i | ||||
\(723\) | 31.0606 | − | 4.68163i | 1.15516 | − | 0.174112i | ||||
\(724\) | 13.2694 | + | 9.04696i | 0.493155 | + | 0.336227i | ||||
\(725\) | 11.3925 | − | 10.5707i | 0.423106 | − | 0.392585i | ||||
\(726\) | 18.6999 | − | 12.7494i | 0.694018 | − | 0.473173i | ||||
\(727\) | 4.53323 | − | 19.8614i | 0.168128 | − | 0.736618i | −0.818617 | − | 0.574340i | \(-0.805259\pi\) |
0.986745 | − | 0.162278i | \(-0.0518842\pi\) | |||||||
\(728\) | 0.0467147 | − | 0.107247i | 0.00173136 | − | 0.00397485i | ||||
\(729\) | 7.09848 | + | 31.1005i | 0.262907 | + | 1.15187i | ||||
\(730\) | −12.5582 | − | 11.6523i | −0.464801 | − | 0.431272i | ||||
\(731\) | 25.5337 | + | 3.84859i | 0.944399 | + | 0.142345i | ||||
\(732\) | 5.61615 | − | 1.73235i | 0.207579 | − | 0.0640296i | ||||
\(733\) | 1.60886 | − | 21.4687i | 0.0594246 | − | 0.792966i | −0.885283 | − | 0.465052i | \(-0.846036\pi\) |
0.944708 | − | 0.327913i | \(-0.106345\pi\) | |||||||
\(734\) | 1.07263 | 0.0395916 | ||||||||
\(735\) | −7.73824 | + | 51.7626i | −0.285429 | + | 1.90929i | ||||
\(736\) | −5.80633 | −0.214024 | ||||||||
\(737\) | 1.42967 | − | 19.0776i | 0.0526626 | − | 0.702733i | ||||
\(738\) | 5.88167 | − | 1.81425i | 0.216507 | − | 0.0667836i | ||||
\(739\) | −18.5639 | − | 2.79807i | −0.682886 | − | 0.102928i | −0.201568 | − | 0.979475i | \(-0.564604\pi\) |
−0.481318 | + | 0.876546i | \(0.659842\pi\) | |||||||
\(740\) | −1.79470 | − | 1.66524i | −0.0659746 | − | 0.0612155i | ||||
\(741\) | −0.193430 | − | 0.847472i | −0.00710583 | − | 0.0311327i | ||||
\(742\) | 11.3695 | − | 9.79618i | 0.417388 | − | 0.359629i | ||||
\(743\) | −3.84550 | + | 16.8482i | −0.141078 | + | 0.618102i | 0.854108 | + | 0.520096i | \(0.174104\pi\) |
−0.995186 | + | 0.0980063i | \(0.968753\pi\) | |||||||
\(744\) | −9.14136 | + | 6.23248i | −0.335139 | + | 0.228494i | ||||
\(745\) | −26.3340 | + | 24.4344i | −0.964805 | + | 0.895208i | ||||
\(746\) | 5.88362 | + | 4.01139i | 0.215415 | + | 0.146867i | ||||
\(747\) | −0.951202 | + | 0.143371i | −0.0348027 | + | 0.00524566i | ||||
\(748\) | −9.06306 | + | 4.36454i | −0.331378 | + | 0.159583i | ||||
\(749\) | 24.4286 | + | 0.899332i | 0.892603 | + | 0.0328609i | ||||
\(750\) | −7.46806 | − | 3.59643i | −0.272695 | − | 0.131323i | ||||
\(751\) | −28.9998 | − | 8.94526i | −1.05822 | − | 0.326417i | −0.283663 | − | 0.958924i | \(-0.591550\pi\) |
−0.774555 | + | 0.632507i | \(0.782026\pi\) | |||||||
\(752\) | −1.80265 | + | 4.59307i | −0.0657357 | + | 0.167492i | ||||
\(753\) | 26.1060 | + | 45.2169i | 0.951354 | + | 1.64779i | ||||
\(754\) | −0.0882899 | + | 0.152923i | −0.00321533 | + | 0.00556911i | ||||
\(755\) | −16.2417 | − | 20.3664i | −0.591096 | − | 0.741211i | ||||
\(756\) | −1.89395 | + | 0.214552i | −0.0688824 | + | 0.00780317i | ||||
\(757\) | 9.82401 | − | 12.3189i | 0.357060 | − | 0.447739i | −0.570565 | − | 0.821252i | \(-0.693276\pi\) |
0.927625 | + | 0.373514i | \(0.121847\pi\) | |||||||
\(758\) | −3.92131 | − | 9.99135i | −0.142429 | − | 0.362902i | ||||
\(759\) | 1.52859 | + | 20.3976i | 0.0554843 | + | 0.740387i | ||||
\(760\) | 1.74719 | + | 23.3146i | 0.0633771 | + | 0.845708i | ||||
\(761\) | −5.19626 | − | 13.2398i | −0.188364 | − | 0.479944i | 0.805229 | − | 0.592965i | \(-0.202043\pi\) |
−0.993593 | + | 0.113021i | \(0.963947\pi\) | |||||||
\(762\) | 11.9451 | − | 14.9786i | 0.432724 | − | 0.542619i | ||||
\(763\) | −11.3374 | − | 32.3380i | −0.410442 | − | 1.17072i | ||||
\(764\) | −0.191322 | − | 0.239910i | −0.00692178 | − | 0.00867963i | ||||
\(765\) | −35.0913 | + | 60.7799i | −1.26873 | + | 2.19750i | ||||
\(766\) | −5.04717 | − | 8.74196i | −0.182362 | − | 0.315860i | ||||
\(767\) | 0.225424 | − | 0.574371i | 0.00813959 | − | 0.0207393i | ||||
\(768\) | −2.39605 | − | 0.739084i | −0.0864601 | − | 0.0266694i | ||||
\(769\) | −4.09014 | − | 1.96971i | −0.147494 | − | 0.0710294i | 0.358681 | − | 0.933460i | \(-0.383227\pi\) |
−0.506175 | + | 0.862431i | \(0.668941\pi\) | |||||||
\(770\) | 9.80262 | + | 5.17329i | 0.353262 | + | 0.186432i | ||||
\(771\) | 15.4996 | − | 7.46420i | 0.558203 | − | 0.268817i | ||||
\(772\) | 1.92037 | − | 0.289448i | 0.0691155 | − | 0.0104175i | ||||
\(773\) | −12.8480 | − | 8.75960i | −0.462110 | − | 0.315061i | 0.309790 | − | 0.950805i | \(-0.399741\pi\) |
−0.771900 | + | 0.635744i | \(0.780693\pi\) | |||||||
\(774\) | 8.69090 | − | 8.06397i | 0.312388 | − | 0.289854i | ||||
\(775\) | 14.1867 | − | 9.67236i | 0.509603 | − | 0.347441i | ||||
\(776\) | −2.70126 | + | 11.8350i | −0.0969697 | + | 0.424852i | ||||
\(777\) | −5.35262 | − | 1.00943i | −0.192024 | − | 0.0362132i | ||||
\(778\) | 0.224215 | + | 0.982351i | 0.00803851 | + | 0.0352190i | ||||
\(779\) | −10.7619 | − | 9.98559i | −0.385585 | − | 0.357771i | ||||
\(780\) | −0.326889 | − | 0.0492707i | −0.0117045 | − | 0.00176417i | ||||
\(781\) | 4.34374 | − | 1.33987i | 0.155431 | − | 0.0479441i | ||||
\(782\) | −3.10671 | + | 41.4562i | −0.111096 | + | 1.48247i | ||||
\(783\) | 2.87719 | 0.102822 | ||||||||
\(784\) | 0.00842635 | + | 6.99999i | 0.000300941 | + | 0.250000i | ||||
\(785\) | 5.32729 | 0.190139 | ||||||||
\(786\) | 2.52520 | − | 33.6964i | 0.0900709 | − | 1.20191i | ||||
\(787\) | 45.7417 | − | 14.1095i | 1.63052 | − | 0.502948i | 0.661501 | − | 0.749945i | \(-0.269920\pi\) |
0.969016 | + | 0.246997i | \(0.0794437\pi\) | |||||||
\(788\) | −8.47006 | − | 1.27666i | −0.301733 | − | 0.0454790i | ||||
\(789\) | −26.1128 | − | 24.2291i | −0.929640 | − | 0.862580i | ||||
\(790\) | 5.49033 | + | 24.0547i | 0.195337 | + | 0.855828i | ||||
\(791\) | −9.55997 | − | 18.0620i | −0.339913 | − | 0.642212i | ||||
\(792\) | −1.02772 | + | 4.50272i | −0.0365183 | + | 0.159997i | ||||
\(793\) | 0.0856268 | − | 0.0583794i | 0.00304070 | − | 0.00207311i | ||||
\(794\) | 7.41374 | − | 6.87895i | 0.263104 | − | 0.244125i | ||||
\(795\) | −35.0419 | − | 23.8912i | −1.24281 | − | 0.847333i | ||||
\(796\) | −13.9686 | + | 2.10542i | −0.495102 | + | 0.0746247i | ||||
\(797\) | −10.9762 | + | 5.28584i | −0.388795 | + | 0.187234i | −0.618061 | − | 0.786130i | \(-0.712082\pi\) |
0.229266 | + | 0.973364i | \(0.426367\pi\) | |||||||
\(798\) | 30.9136 | + | 41.8337i | 1.09433 | + | 1.48090i | ||||
\(799\) | 31.8292 | + | 15.3281i | 1.12604 | + | 0.542270i | ||||
\(800\) | 3.71850 | + | 1.14701i | 0.131469 | + | 0.0405528i | ||||
\(801\) | 12.7674 | − | 32.5309i | 0.451115 | − | 1.14942i | ||||
\(802\) | −7.55640 | − | 13.0881i | −0.266826 | − | 0.462156i | ||||
\(803\) | −4.03590 | + | 6.99038i | −0.142424 | + | 0.246685i | ||||
\(804\) | −21.2883 | − | 26.6947i | −0.750780 | − | 0.941449i | ||||
\(805\) | 38.7715 | − | 24.3943i | 1.36652 | − | 0.859787i | ||||
\(806\) | −0.121636 | + | 0.152527i | −0.00428446 | + | 0.00537255i | ||||
\(807\) | 5.39503 | + | 13.7463i | 0.189914 | + | 0.483893i | ||||
\(808\) | −0.423194 | − | 5.64714i | −0.0148879 | − | 0.198666i | ||||
\(809\) | 2.53836 | + | 33.8720i | 0.0892439 | + | 1.19088i | 0.844540 | + | 0.535493i | \(0.179874\pi\) |
−0.755296 | + | 0.655384i | \(0.772507\pi\) | |||||||
\(810\) | −8.77559 | − | 22.3598i | −0.308343 | − | 0.785644i | ||||
\(811\) | −21.6233 | + | 27.1147i | −0.759295 | + | 0.952126i | −0.999829 | − | 0.0185146i | \(-0.994106\pi\) |
0.240533 | + | 0.970641i | \(0.422678\pi\) | |||||||
\(812\) | 1.17674 | − | 10.5007i | 0.0412956 | − | 0.368502i | ||||
\(813\) | −25.9326 | − | 32.5184i | −0.909495 | − | 1.14047i | ||||
\(814\) | −0.576773 | + | 0.998999i | −0.0202159 | + | 0.0350149i | ||||
\(815\) | −16.5373 | − | 28.6435i | −0.579277 | − | 1.00334i | ||||
\(816\) | −6.55896 | + | 16.7119i | −0.229609 | + | 0.585035i | ||||
\(817\) | −27.0216 | − | 8.33506i | −0.945367 | − | 0.291607i | ||||
\(818\) | 6.84712 | + | 3.29740i | 0.239404 | + | 0.115291i | ||||
\(819\) | −0.352371 | + | 0.153990i | −0.0123128 | + | 0.00538085i | ||||
\(820\) | −5.03026 | + | 2.42244i | −0.175664 | + | 0.0845954i | ||||
\(821\) | 11.2829 | − | 1.70063i | 0.393777 | − | 0.0593523i | 0.0508304 | − | 0.998707i | \(-0.483813\pi\) |
0.342946 | + | 0.939355i | \(0.388575\pi\) | |||||||
\(822\) | −31.9027 | − | 21.7509i | −1.11274 | − | 0.758650i | ||||
\(823\) | −21.2903 | + | 19.7545i | −0.742133 | + | 0.688599i | −0.957661 | − | 0.287899i | \(-0.907043\pi\) |
0.215528 | + | 0.976498i | \(0.430853\pi\) | |||||||
\(824\) | 3.25153 | − | 2.21685i | 0.113272 | − | 0.0772277i | ||||
\(825\) | 3.05049 | − | 13.3651i | 0.106204 | − | 0.465311i | ||||
\(826\) | 1.40278 | + | 36.8957i | 0.0488089 | + | 1.28377i | ||||
\(827\) | 8.55572 | + | 37.4851i | 0.297512 | + | 1.30348i | 0.873819 | + | 0.486251i | \(0.161636\pi\) |
−0.576308 | + | 0.817233i | \(0.695507\pi\) | |||||||
\(828\) | 13.9919 | + | 12.9826i | 0.486253 | + | 0.451177i | ||||
\(829\) | 1.19452 | + | 0.180045i | 0.0414874 | + | 0.00625323i | 0.169753 | − | 0.985487i | \(-0.445703\pi\) |
−0.128266 | + | 0.991740i | \(0.540941\pi\) | |||||||
\(830\) | 0.833793 | − | 0.257191i | 0.0289414 | − | 0.00892723i | ||||
\(831\) | −5.28636 | + | 70.5415i | −0.183382 | + | 2.44706i | ||||
\(832\) | −0.0442142 | −0.00153285 | ||||||||
\(833\) | 49.9832 | + | 3.68523i | 1.73182 | + | 0.127686i | ||||
\(834\) | 25.5931 | 0.886216 | ||||||||
\(835\) | −0.904490 | + | 12.0696i | −0.0313012 | + | 0.417685i | ||||
\(836\) | 10.5265 | − | 3.24699i | 0.364067 | − | 0.112300i | ||||
\(837\) | 3.14329 | + | 0.473774i | 0.108648 | + | 0.0163760i | ||||
\(838\) | 7.63678 | + | 7.08590i | 0.263808 | + | 0.244778i | ||||
\(839\) | −7.34013 | − | 32.1592i | −0.253409 | − | 1.11026i | −0.928151 | − | 0.372205i | \(-0.878602\pi\) |
0.674741 | − | 0.738055i | \(-0.264255\pi\) | |||||||
\(840\) | 19.1047 | − | 5.13141i | 0.659174 | − | 0.177051i | ||||
\(841\) | 2.90392 | − | 12.7229i | 0.100135 | − | 0.438720i | ||||
\(842\) | −32.5103 | + | 22.1651i | −1.12038 | + | 0.763861i | ||||
\(843\) | −15.6992 | + | 14.5668i | −0.540711 | + | 0.501706i | ||||
\(844\) | −6.38541 | − | 4.35350i | −0.219795 | − | 0.149854i | ||||
\(845\) | 38.3252 | − | 5.77660i | 1.31843 | − | 0.198721i | ||||
\(846\) | 14.6138 | − | 7.03763i | 0.502433 | − | 0.241959i | ||||
\(847\) | −6.16693 | + | 23.0708i | −0.211898 | + | 0.792723i | ||||
\(848\) | −5.11064 | − | 2.46115i | −0.175500 | − | 0.0845164i | ||||
\(849\) | −16.5050 | − | 5.09112i | −0.566450 | − | 0.174727i | ||||
\(850\) | 10.1790 | − | 25.9357i | 0.349138 | − | 0.889589i | ||||
\(851\) | 2.38366 | + | 4.12863i | 0.0817109 | + | 0.141527i | ||||
\(852\) | 4.05640 | − | 7.02589i | 0.138970 | − | 0.240703i | ||||
\(853\) | −25.7542 | − | 32.2948i | −0.881808 | − | 1.10575i | −0.993705 | − | 0.112032i | \(-0.964264\pi\) |
0.111897 | − | 0.993720i | \(-0.464307\pi\) | |||||||
\(854\) | −3.29620 | + | 5.25288i | −0.112794 | + | 0.179750i | ||||
\(855\) | 47.9197 | − | 60.0894i | 1.63882 | − | 2.05501i | ||||
\(856\) | −3.37554 | − | 8.60072i | −0.115373 | − | 0.293967i | ||||
\(857\) | 0.332980 | + | 4.44331i | 0.0113744 | + | 0.151781i | 0.999999 | + | 0.00137697i | \(0.000438303\pi\) |
−0.988625 | + | 0.150404i | \(0.951943\pi\) | |||||||
\(858\) | 0.0116399 | + | 0.155324i | 0.000397381 | + | 0.00530269i | ||||
\(859\) | 3.05484 | + | 7.78360i | 0.104230 | + | 0.265573i | 0.973469 | − | 0.228818i | \(-0.0734862\pi\) |
−0.869239 | + | 0.494391i | \(0.835391\pi\) | |||||||
\(860\) | −6.70506 | + | 8.40788i | −0.228641 | + | 0.286706i | ||||
\(861\) | −6.60235 | + | 10.5216i | −0.225008 | + | 0.358576i | ||||
\(862\) | −0.972309 | − | 1.21924i | −0.0331170 | − | 0.0415274i | ||||
\(863\) | 17.8662 | − | 30.9451i | 0.608171 | − | 1.05338i | −0.383370 | − | 0.923595i | \(-0.625237\pi\) |
0.991542 | − | 0.129789i | \(-0.0414300\pi\) | |||||||
\(864\) | 0.360213 | + | 0.623907i | 0.0122547 | + | 0.0212257i | ||||
\(865\) | −12.4701 | + | 31.7733i | −0.423996 | + | 1.08032i | ||||
\(866\) | −22.1683 | − | 6.83801i | −0.753309 | − | 0.232365i | ||||
\(867\) | 77.4057 | + | 37.2766i | 2.62883 | + | 1.26598i | ||||
\(868\) | 3.01468 | − | 11.2781i | 0.102325 | − | 0.382803i | ||||
\(869\) | 10.4740 | − | 5.04403i | 0.355307 | − | 0.171107i | ||||
\(870\) | −29.5269 | + | 4.45047i | −1.00106 | + | 0.150885i | ||||
\(871\) | −0.497446 | − | 0.339153i | −0.0168553 | − | 0.0114918i | ||||
\(872\) | −9.49451 | + | 8.80962i | −0.321525 | + | 0.298331i | ||||
\(873\) | 32.9718 | − | 22.4798i | 1.11593 | − | 0.760826i | ||||
\(874\) | 10.1305 | − | 44.3847i | 0.342670 | − | 1.50133i | ||||
\(875\) | 8.44672 | − | 2.26874i | 0.285551 | − | 0.0766975i | ||||
\(876\) | 3.20562 | + | 14.0448i | 0.108308 | + | 0.474528i | ||||
\(877\) | 11.3479 | + | 10.5293i | 0.383192 | + | 0.355550i | 0.848125 | − | 0.529796i | \(-0.177731\pi\) |
−0.464934 | + | 0.885346i | \(0.653922\pi\) | |||||||
\(878\) | 36.5421 | + | 5.50784i | 1.23324 | + | 0.185880i | ||||
\(879\) | −37.2817 | + | 11.4999i | −1.25748 | + | 0.387881i | ||||
\(880\) | 0.313070 | − | 4.17763i | 0.0105536 | − | 0.140828i | ||||
\(881\) | −45.7438 | −1.54115 | −0.770573 | − | 0.637351i | \(-0.780030\pi\) | ||||
−0.770573 | + | 0.637351i | \(0.780030\pi\) | |||||||
\(882\) | 15.6313 | − | 16.8872i | 0.526332 | − | 0.568623i | ||||
\(883\) | 30.6088 | 1.03007 | 0.515035 | − | 0.857169i | \(-0.327779\pi\) | ||||
0.515035 | + | 0.857169i | \(0.327779\pi\) | |||||||
\(884\) | −0.0236571 | + | 0.315682i | −0.000795673 | + | 0.0106175i | ||||
\(885\) | 99.7060 | − | 30.7552i | 3.35158 | − | 1.03383i | ||||
\(886\) | 27.4115 | + | 4.13162i | 0.920908 | + | 0.138805i | ||||
\(887\) | −8.79307 | − | 8.15878i | −0.295242 | − | 0.273945i | 0.518617 | − | 0.855007i | \(-0.326447\pi\) |
−0.813860 | + | 0.581062i | \(0.802637\pi\) | |||||||
\(888\) | 0.458117 | + | 2.00714i | 0.0153734 | + | 0.0673553i | ||||
\(889\) | 0.768024 | + | 20.2005i | 0.0257587 | + | 0.677502i | ||||
\(890\) | −7.05375 | + | 30.9045i | −0.236442 | + | 1.03592i | ||||
\(891\) | −9.35104 | + | 6.37543i | −0.313272 | + | 0.213585i | ||||
\(892\) | 4.16900 | − | 3.86827i | 0.139589 | − | 0.129519i | ||||
\(893\) | −31.9651 | − | 21.7934i | −1.06967 | − | 0.729290i | ||||
\(894\) | 29.8712 | − | 4.50236i | 0.999042 | − | 0.150581i | ||||
\(895\) | 24.4908 | − | 11.7942i | 0.818639 | − | 0.394236i | ||||
\(896\) | 2.42436 | − | 1.05947i | 0.0809921 | − | 0.0353945i | ||||
\(897\) | 0.579970 | + | 0.279299i | 0.0193646 | + | 0.00932552i | ||||
\(898\) | −1.64490 | − | 0.507384i | −0.0548910 | − | 0.0169316i | ||||
\(899\) | −6.43799 | + | 16.4037i | −0.214719 | + | 0.547095i | ||||
\(900\) | −6.39610 | − | 11.0784i | −0.213203 | − | 0.369279i | ||||
\(901\) | −20.3067 | + | 35.1722i | −0.676514 | + | 1.17176i | ||||
\(902\) | 1.64016 | + | 2.05670i | 0.0546114 | + | 0.0684805i | ||||
\(903\) | −2.66455 | + | 23.7772i | −0.0886708 | + | 0.791255i | ||||
\(904\) | −4.81589 | + | 6.03893i | −0.160174 | + | 0.200852i | ||||
\(905\) | 17.4957 | + | 44.5782i | 0.581576 | + | 1.48183i | ||||
\(906\) | 1.63699 | + | 21.8441i | 0.0543853 | + | 0.725721i | ||||
\(907\) | −1.39110 | − | 18.5629i | −0.0461907 | − | 0.616372i | −0.971482 | − | 0.237114i | \(-0.923798\pi\) |
0.925291 | − | 0.379258i | \(-0.123821\pi\) | |||||||
\(908\) | 5.60684 | + | 14.2860i | 0.186070 | + | 0.474098i | ||||
\(909\) | −11.6069 | + | 14.5545i | −0.384975 | + | 0.482744i | ||||
\(910\) | 0.295238 | − | 0.185759i | 0.00978706 | − | 0.00615784i | ||||
\(911\) | −33.4164 | − | 41.9028i | −1.10713 | − | 1.38830i | −0.913310 | − | 0.407265i | \(-0.866483\pi\) |
−0.193823 | − | 0.981036i | \(-0.562089\pi\) | |||||||
\(912\) | 9.83018 | − | 17.0264i | 0.325510 | − | 0.563799i | ||||
\(913\) | −0.205561 | − | 0.356042i | −0.00680308 | − | 0.0117833i | ||||
\(914\) | 12.3517 | − | 31.4716i | 0.408558 | − | 1.04099i | ||||
\(915\) | 16.7465 | + | 5.16561i | 0.553622 | + | 0.170770i | ||||
\(916\) | −18.1209 | − | 8.72657i | −0.598732 | − | 0.288334i | ||||
\(917\) | 21.1897 | + | 28.6749i | 0.699746 | + | 0.946929i | ||||
\(918\) | 4.64732 | − | 2.23803i | 0.153384 | − | 0.0738661i | ||||
\(919\) | 53.9796 | − | 8.13612i | 1.78062 | − | 0.268386i | 0.825459 | − | 0.564462i | \(-0.190916\pi\) |
0.955164 | + | 0.296076i | \(0.0956782\pi\) | |||||||
\(920\) | −14.3051 | − | 9.75308i | −0.471626 | − | 0.321549i | ||||
\(921\) | 16.0942 | − | 14.9332i | 0.530321 | − | 0.492066i | ||||
\(922\) | 7.04267 | − | 4.80161i | 0.231938 | − | 0.158133i | ||||
\(923\) | 0.0318325 | − | 0.139467i | 0.00104778 | − | 0.00459062i | ||||
\(924\) | −4.36017 | − | 8.23785i | −0.143439 | − | 0.271005i | ||||
\(925\) | −0.710965 | − | 3.11494i | −0.0233764 | − | 0.102419i | ||||
\(926\) | 3.65712 | + | 3.39331i | 0.120180 | + | 0.111511i | ||||
\(927\) | −12.7922 | − | 1.92811i | −0.420150 | − | 0.0633275i | ||||
\(928\) | −3.81630 | + | 1.17717i | −0.125276 | + | 0.0386426i | ||||
\(929\) | 2.30409 | − | 30.7459i | 0.0755947 | − | 1.00874i | −0.822450 | − | 0.568837i | \(-0.807393\pi\) |
0.898045 | − | 0.439904i | \(-0.144988\pi\) | |||||||
\(930\) | −32.9906 | −1.08180 | ||||||||
\(931\) | −53.5240 | − | 12.1487i | −1.75418 | − | 0.398158i | ||||
\(932\) | 4.68643 | 0.153509 | ||||||||
\(933\) | 1.19635 | − | 15.9641i | 0.0391666 | − | 0.522642i | ||||
\(934\) | 5.30023 | − | 1.63490i | 0.173429 | − | 0.0534957i | ||||
\(935\) | −29.6600 | − | 4.47053i | −0.969987 | − | 0.146202i | ||||
\(936\) | 0.106546 | + | 0.0988603i | 0.00348257 | + | 0.00323135i | ||||
\(937\) | 2.99143 | + | 13.1063i | 0.0977257 | + | 0.428164i | 0.999995 | − | 0.00300772i | \(-0.000957390\pi\) |
−0.902270 | + | 0.431172i | \(0.858100\pi\) | |||||||
\(938\) | 35.4029 | + | 6.67653i | 1.15595 | + | 0.217996i | ||||
\(939\) | 0.412750 | − | 1.80838i | 0.0134696 | − | 0.0590141i | ||||
\(940\) | −12.1563 | + | 8.28804i | −0.396496 | + | 0.270326i | ||||
\(941\) | −14.8013 | + | 13.7336i | −0.482510 | + | 0.447703i | −0.883536 | − | 0.468363i | \(-0.844844\pi\) |
0.401027 | + | 0.916066i | \(0.368653\pi\) | |||||||
\(942\) | −3.70135 | − | 2.52354i | −0.120596 | − | 0.0822212i | ||||
\(943\) | 10.7503 | − | 1.62034i | 0.350077 | − | 0.0527656i | ||||
\(944\) | 12.5733 | − | 6.05499i | 0.409227 | − | 0.197073i | ||||
\(945\) | −5.02655 | − | 2.65274i | −0.163514 | − | 0.0862936i | ||||
\(946\) | 4.56520 | + | 2.19849i | 0.148428 | + | 0.0714789i | ||||
\(947\) | −22.5503 | − | 6.95585i | −0.732786 | − | 0.226035i | −0.0941659 | − | 0.995557i | \(-0.530018\pi\) |
−0.638620 | + | 0.769522i | \(0.720495\pi\) | |||||||
\(948\) | 7.58008 | − | 19.3137i | 0.246190 | − | 0.627281i | ||||
\(949\) | 0.127011 | + | 0.219989i | 0.00412294 | + | 0.00714115i | ||||
\(950\) | −15.2557 | + | 26.4237i | −0.494961 | + | 0.857298i | ||||
\(951\) | 5.50589 | + | 6.90417i | 0.178541 | + | 0.223883i | ||||
\(952\) | −6.26729 | − | 17.8764i | −0.203124 | − | 0.579377i | ||||
\(953\) | −19.6690 | + | 24.6641i | −0.637141 | + | 0.798949i | −0.990642 | − | 0.136485i | \(-0.956419\pi\) |
0.353502 | + | 0.935434i | \(0.384991\pi\) | |||||||
\(954\) | 6.81248 | + | 17.3579i | 0.220562 | + | 0.561983i | ||||
\(955\) | −0.0683778 | − | 0.912438i | −0.00221265 | − | 0.0295258i | ||||
\(956\) | 1.38944 | + | 18.5409i | 0.0449379 | + | 0.599654i | ||||
\(957\) | 5.14010 | + | 13.0968i | 0.166156 | + | 0.423358i | ||||
\(958\) | −17.5853 | + | 22.0513i | −0.568156 | + | 0.712445i | ||||
\(959\) | 40.4827 | − | 4.58598i | 1.30726 | − | 0.148089i | ||||
\(960\) | −4.66172 | − | 5.84562i | −0.150457 | − | 0.188667i | ||||
\(961\) | 5.76545 | − | 9.98606i | 0.185982 | − | 0.322131i | ||||
\(962\) | 0.0181512 | + | 0.0314388i | 0.000585217 | + | 0.00101363i | ||||
\(963\) | −11.0964 | + | 28.2733i | −0.357578 | + | 0.911094i | ||||
\(964\) | 11.9707 | + | 3.69246i | 0.385550 | + | 0.118926i | ||||
\(965\) | 5.21743 | + | 2.51258i | 0.167955 | + | 0.0808828i | ||||
\(966\) | −38.4937 | − | 1.41713i | −1.23851 | − | 0.0455954i | ||||
\(967\) | 32.3162 | − | 15.5627i | 1.03922 | − | 0.500462i | 0.165153 | − | 0.986268i | \(-0.447188\pi\) |
0.874067 | + | 0.485806i | \(0.161474\pi\) | |||||||
\(968\) | 8.92530 | − | 1.34527i | 0.286870 | − | 0.0432387i | ||||
\(969\) | −116.306 | − | 79.2958i | −3.73627 | − | 2.54735i | ||||
\(970\) | −26.5348 | + | 24.6207i | −0.851981 | + | 0.790523i | ||||
\(971\) | −2.33335 | + | 1.59085i | −0.0748809 | + | 0.0510530i | −0.600182 | − | 0.799864i | \(-0.704905\pi\) |
0.525301 | + | 0.850917i | \(0.323953\pi\) | |||||||
\(972\) | −4.97559 | + | 21.7995i | −0.159592 | + | 0.699218i | ||||
\(973\) | −20.4582 | + | 17.6271i | −0.655859 | + | 0.565100i | ||||
\(974\) | 4.64054 | + | 20.3315i | 0.148692 | + | 0.651464i | ||||
\(975\) | −0.316252 | − | 0.293439i | −0.0101282 | − | 0.00939756i | ||||
\(976\) | 2.31774 | + | 0.349343i | 0.0741890 | + | 0.0111822i | ||||
\(977\) | −22.3345 | + | 6.88929i | −0.714545 | + | 0.220408i | −0.630651 | − | 0.776067i | \(-0.717212\pi\) |
−0.0838943 | + | 0.996475i | \(0.526736\pi\) | |||||||
\(978\) | −2.07845 | + | 27.7349i | −0.0664614 | + | 0.886865i | ||||
\(979\) | 14.9357 | 0.477347 | ||||||||
\(980\) | −11.7374 | + | 17.2601i | −0.374936 | + | 0.551355i | ||||
\(981\) | 42.5774 | 1.35939 | ||||||||
\(982\) | −0.963665 | + | 12.8592i | −0.0307518 | + | 0.410354i | ||||
\(983\) | −35.9770 | + | 11.0974i | −1.14749 | + | 0.353953i | −0.809456 | − | 0.587181i | \(-0.800238\pi\) |
−0.338033 | + | 0.941134i | \(0.609762\pi\) | |||||||
\(984\) | 4.64248 | + | 0.699741i | 0.147997 | + | 0.0223069i | ||||
\(985\) | −18.7234 | − | 17.3727i | −0.596576 | − | 0.553542i | ||||
\(986\) | 6.36288 | + | 27.8776i | 0.202635 | + | 0.887804i | ||||
\(987\) | −13.0718 | + | 30.0102i | −0.416081 | + | 0.955236i | ||||
\(988\) | 0.0771421 | − | 0.337981i | 0.00245422 | − | 0.0107526i | ||||
\(989\) | 17.3020 | − | 11.7963i | 0.550171 | − | 0.375100i | ||||
\(990\) | −10.0954 | + | 9.36713i | −0.320852 | + | 0.297707i | ||||
\(991\) | 24.3062 | + | 16.5717i | 0.772111 | + | 0.526417i | 0.884103 | − | 0.467293i | \(-0.154771\pi\) |
−0.111991 | + | 0.993709i | \(0.535723\pi\) | |||||||
\(992\) | −4.36310 | + | 0.657631i | −0.138528 | + | 0.0208798i | ||||
\(993\) | −63.4057 | + | 30.5346i | −2.01212 | + | 0.968985i | ||||
\(994\) | 1.59652 | + | 8.41007i | 0.0506384 | + | 0.266751i | ||||
\(995\) | −37.9511 | − | 18.2763i | −1.20313 | − | 0.579397i | ||||
\(996\) | −0.701142 | − | 0.216274i | −0.0222165 | − | 0.00685289i | ||||
\(997\) | 14.8445 | − | 37.8233i | 0.470131 | − | 1.19787i | −0.477535 | − | 0.878612i | \(-0.658470\pi\) |
0.947667 | − | 0.319262i | \(-0.103435\pi\) | |||||||
\(998\) | 10.7750 | + | 18.6628i | 0.341076 | + | 0.590761i | ||||
\(999\) | 0.295755 | − | 0.512263i | 0.00935728 | − | 0.0162073i |
(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 | 98.2.g.b.23.1 | ✓ | 24 | |
3.2 | odd | 2 | 882.2.z.b.415.2 | 24 | |||
4.3 | odd | 2 | 784.2.bg.b.513.2 | 24 | |||
7.2 | even | 3 | 686.2.e.c.491.4 | 24 | |||
7.3 | odd | 6 | 686.2.g.d.263.1 | 24 | |||
7.4 | even | 3 | 686.2.g.f.263.2 | 24 | |||
7.5 | odd | 6 | 686.2.e.d.491.1 | 24 | |||
7.6 | odd | 2 | 686.2.g.e.275.2 | 24 | |||
49.9 | even | 21 | 4802.2.a.o.1.1 | 12 | |||
49.12 | odd | 42 | 686.2.e.d.197.1 | 24 | |||
49.17 | odd | 42 | 686.2.g.e.459.2 | 24 | |||
49.20 | odd | 14 | 686.2.g.d.373.1 | 24 | |||
49.29 | even | 7 | 686.2.g.f.373.2 | 24 | |||
49.32 | even | 21 | inner | 98.2.g.b.81.1 | yes | 24 | |
49.37 | even | 21 | 686.2.e.c.197.4 | 24 | |||
49.40 | odd | 42 | 4802.2.a.l.1.12 | 12 | |||
147.32 | odd | 42 | 882.2.z.b.865.2 | 24 | |||
196.179 | odd | 42 | 784.2.bg.b.81.2 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
98.2.g.b.23.1 | ✓ | 24 | 1.1 | even | 1 | trivial | |
98.2.g.b.81.1 | yes | 24 | 49.32 | even | 21 | inner | |
686.2.e.c.197.4 | 24 | 49.37 | even | 21 | |||
686.2.e.c.491.4 | 24 | 7.2 | even | 3 | |||
686.2.e.d.197.1 | 24 | 49.12 | odd | 42 | |||
686.2.e.d.491.1 | 24 | 7.5 | odd | 6 | |||
686.2.g.d.263.1 | 24 | 7.3 | odd | 6 | |||
686.2.g.d.373.1 | 24 | 49.20 | odd | 14 | |||
686.2.g.e.275.2 | 24 | 7.6 | odd | 2 | |||
686.2.g.e.459.2 | 24 | 49.17 | odd | 42 | |||
686.2.g.f.263.2 | 24 | 7.4 | even | 3 | |||
686.2.g.f.373.2 | 24 | 49.29 | even | 7 | |||
784.2.bg.b.81.2 | 24 | 196.179 | odd | 42 | |||
784.2.bg.b.513.2 | 24 | 4.3 | odd | 2 | |||
882.2.z.b.415.2 | 24 | 3.2 | odd | 2 | |||
882.2.z.b.865.2 | 24 | 147.32 | odd | 42 | |||
4802.2.a.l.1.12 | 12 | 49.40 | odd | 42 | |||
4802.2.a.o.1.1 | 12 | 49.9 | even | 21 |