Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,2,Mod(5,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.j (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.60499308063\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.12 | ||
Character | \(\chi\) | \(=\) | 201.5 |
Dual form | 201.2.j.a.161.12 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.401105 | − | 0.462899i | 0.283624 | − | 0.327319i | −0.596004 | − | 0.802981i | \(-0.703246\pi\) |
0.879628 | + | 0.475662i | \(0.157791\pi\) | |||||||
\(3\) | 0.953911 | + | 1.44570i | 0.550741 | + | 0.834676i | ||||
\(4\) | 0.231239 | + | 1.60830i | 0.115619 | + | 0.804150i | ||||
\(5\) | 2.18653 | − | 0.642023i | 0.977846 | − | 0.287122i | 0.246511 | − | 0.969140i | \(-0.420716\pi\) |
0.731335 | + | 0.682018i | \(0.238898\pi\) | |||||||
\(6\) | 1.05183 | + | 0.138313i | 0.429409 | + | 0.0564660i | ||||
\(7\) | −3.07269 | − | 2.66251i | −1.16137 | − | 1.00633i | −0.999810 | − | 0.0194693i | \(-0.993802\pi\) |
−0.161559 | − | 0.986863i | \(-0.551652\pi\) | |||||||
\(8\) | 1.86777 | + | 1.20035i | 0.660358 | + | 0.424386i | ||||
\(9\) | −1.18011 | + | 2.75814i | −0.393369 | + | 0.919381i | ||||
\(10\) | 0.579835 | − | 1.26966i | 0.183360 | − | 0.401503i | ||||
\(11\) | 0.587185 | − | 0.172413i | 0.177043 | − | 0.0519845i | −0.192010 | − | 0.981393i | \(-0.561500\pi\) |
0.369052 | + | 0.929409i | \(0.379682\pi\) | |||||||
\(12\) | −2.10454 | + | 1.86848i | −0.607529 | + | 0.539383i | ||||
\(13\) | 0.139564 | + | 0.217166i | 0.0387082 | + | 0.0602311i | 0.860068 | − | 0.510179i | \(-0.170421\pi\) |
−0.821360 | + | 0.570410i | \(0.806784\pi\) | |||||||
\(14\) | −2.46494 | + | 0.354405i | −0.658784 | + | 0.0947188i | ||||
\(15\) | 3.01393 | + | 2.54864i | 0.778194 | + | 0.658056i | ||||
\(16\) | −1.81323 | + | 0.532413i | −0.453308 | + | 0.133103i | ||||
\(17\) | 0.147024 | + | 0.0211388i | 0.0356585 | + | 0.00512692i | 0.160121 | − | 0.987097i | \(-0.448812\pi\) |
−0.124462 | + | 0.992224i | \(0.539721\pi\) | |||||||
\(18\) | 0.803396 | + | 1.65257i | 0.189362 | + | 0.389516i | ||||
\(19\) | −2.28901 | − | 2.64165i | −0.525134 | − | 0.606037i | 0.429775 | − | 0.902936i | \(-0.358593\pi\) |
−0.954909 | + | 0.296899i | \(0.904047\pi\) | |||||||
\(20\) | 1.53818 | + | 3.36814i | 0.343947 | + | 0.753139i | ||||
\(21\) | 0.918111 | − | 6.98199i | 0.200348 | − | 1.52360i | ||||
\(22\) | 0.155713 | − | 0.340963i | 0.0331980 | − | 0.0726936i | ||||
\(23\) | 3.15125 | − | 1.43913i | 0.657082 | − | 0.300079i | −0.0588318 | − | 0.998268i | \(-0.518738\pi\) |
0.715914 | + | 0.698189i | \(0.246010\pi\) | |||||||
\(24\) | 0.0463489 | + | 3.84527i | 0.00946092 | + | 0.784912i | ||||
\(25\) | 0.162456 | − | 0.104404i | 0.0324912 | − | 0.0208809i | ||||
\(26\) | 0.156506 | + | 0.0225022i | 0.0306934 | + | 0.00441304i | ||||
\(27\) | −5.11317 | + | 0.924939i | −0.984030 | + | 0.178005i | ||||
\(28\) | 3.57158 | − | 5.55749i | 0.674966 | − | 1.05027i | ||||
\(29\) | − | 3.72105i | − | 0.690981i | −0.938422 | − | 0.345491i | \(-0.887712\pi\) | ||
0.938422 | − | 0.345491i | \(-0.112288\pi\) | |||||||
\(30\) | 2.38866 | − | 0.372876i | 0.436109 | − | 0.0680776i | ||||
\(31\) | 3.89146 | − | 6.05523i | 0.698926 | − | 1.08755i | −0.292421 | − | 0.956290i | \(-0.594461\pi\) |
0.991348 | − | 0.131261i | \(-0.0419027\pi\) | |||||||
\(32\) | −2.32547 | + | 5.09208i | −0.411090 | + | 0.900161i | ||||
\(33\) | 0.809380 | + | 0.684427i | 0.140895 | + | 0.119143i | ||||
\(34\) | 0.0687571 | − | 0.0595784i | 0.0117918 | − | 0.0102176i | ||||
\(35\) | −8.42793 | − | 3.84891i | −1.42458 | − | 0.650584i | ||||
\(36\) | −4.70881 | − | 1.26018i | −0.784801 | − | 0.210030i | ||||
\(37\) | 4.66446 | 0.766833 | 0.383416 | − | 0.923576i | \(-0.374747\pi\) | ||||
0.383416 | + | 0.923576i | \(0.374747\pi\) | |||||||
\(38\) | −2.14095 | −0.347308 | ||||||||
\(39\) | −0.180826 | + | 0.408926i | −0.0289553 | + | 0.0654806i | ||||
\(40\) | 4.85460 | + | 1.42544i | 0.767579 | + | 0.225382i | ||||
\(41\) | 1.20470 | − | 8.37888i | 0.188143 | − | 1.30856i | −0.648669 | − | 0.761071i | \(-0.724674\pi\) |
0.836812 | − | 0.547491i | \(-0.184417\pi\) | |||||||
\(42\) | −2.86370 | − | 3.22550i | −0.441879 | − | 0.497706i | ||||
\(43\) | −8.87907 | − | 1.27662i | −1.35404 | − | 0.194682i | −0.573204 | − | 0.819413i | \(-0.694300\pi\) |
−0.780841 | + | 0.624730i | \(0.785209\pi\) | |||||||
\(44\) | 0.413072 | + | 0.904501i | 0.0622729 | + | 0.136359i | ||||
\(45\) | −0.809549 | + | 6.78842i | −0.120680 | + | 1.01196i | ||||
\(46\) | 0.597811 | − | 2.03596i | 0.0881424 | − | 0.300185i | ||||
\(47\) | −11.2414 | + | 5.13376i | −1.63972 | + | 0.748835i | −0.999808 | − | 0.0196119i | \(-0.993757\pi\) |
−0.639913 | + | 0.768447i | \(0.721030\pi\) | |||||||
\(48\) | −2.49937 | − | 2.11352i | −0.360753 | − | 0.305060i | ||||
\(49\) | 1.35632 | + | 9.43338i | 0.193759 | + | 1.34763i | ||||
\(50\) | 0.0168333 | − | 0.117078i | 0.00238058 | − | 0.0165573i | ||||
\(51\) | 0.109687 | + | 0.232717i | 0.0153593 | + | 0.0325869i | ||||
\(52\) | −0.316996 | + | 0.274679i | −0.0439595 | + | 0.0380911i | ||||
\(53\) | 1.84277 | + | 12.8168i | 0.253124 | + | 1.76052i | 0.579212 | + | 0.815177i | \(0.303360\pi\) |
−0.326088 | + | 0.945339i | \(0.605731\pi\) | |||||||
\(54\) | −1.62276 | + | 2.73788i | −0.220830 | + | 0.372578i | ||||
\(55\) | 1.17320 | − | 0.753973i | 0.158195 | − | 0.101666i | ||||
\(56\) | −2.54317 | − | 8.66125i | −0.339846 | − | 1.15741i | ||||
\(57\) | 1.63554 | − | 5.82912i | 0.216632 | − | 0.772086i | ||||
\(58\) | −1.72247 | − | 1.49253i | −0.226172 | − | 0.195979i | ||||
\(59\) | 2.40667 | − | 3.74484i | 0.313321 | − | 0.487537i | −0.648501 | − | 0.761214i | \(-0.724604\pi\) |
0.961822 | + | 0.273677i | \(0.0882399\pi\) | |||||||
\(60\) | −3.40204 | + | 5.43665i | −0.439201 | + | 0.701869i | ||||
\(61\) | −2.24355 | + | 7.64083i | −0.287257 | + | 0.978308i | 0.681814 | + | 0.731526i | \(0.261191\pi\) |
−0.969071 | + | 0.246782i | \(0.920627\pi\) | |||||||
\(62\) | −1.24208 | − | 4.23013i | −0.157744 | − | 0.537227i | ||||
\(63\) | 10.9697 | − | 5.33289i | 1.38205 | − | 0.671881i | ||||
\(64\) | −0.145725 | − | 0.319094i | −0.0182157 | − | 0.0398867i | ||||
\(65\) | 0.444588 | + | 0.385238i | 0.0551443 | + | 0.0477828i | ||||
\(66\) | 0.641467 | − | 0.100134i | 0.0789591 | − | 0.0123257i | ||||
\(67\) | 6.48838 | + | 4.99008i | 0.792682 | + | 0.609635i | ||||
\(68\) | 0.241347i | 0.0292676i | ||||||||
\(69\) | 5.08657 | + | 3.18297i | 0.612351 | + | 0.383185i | ||||
\(70\) | −5.16214 | + | 2.35747i | −0.616994 | + | 0.281772i | ||||
\(71\) | 11.9318 | − | 1.71554i | 1.41605 | − | 0.203597i | 0.608571 | − | 0.793499i | \(-0.291743\pi\) |
0.807474 | + | 0.589903i | \(0.200834\pi\) | |||||||
\(72\) | −5.51490 | + | 3.73505i | −0.649937 | + | 0.440180i | ||||
\(73\) | −10.5340 | − | 3.09305i | −1.23291 | − | 0.362014i | −0.400561 | − | 0.916270i | \(-0.631185\pi\) |
−0.832346 | + | 0.554256i | \(0.813003\pi\) | |||||||
\(74\) | 1.87094 | − | 2.15918i | 0.217492 | − | 0.250999i | ||||
\(75\) | 0.305906 | + | 0.135271i | 0.0353230 | + | 0.0156197i | ||||
\(76\) | 3.71927 | − | 4.29226i | 0.426629 | − | 0.492356i | ||||
\(77\) | −2.26329 | − | 1.03361i | −0.257926 | − | 0.117791i | ||||
\(78\) | 0.116762 | + | 0.247726i | 0.0132206 | + | 0.0280495i | ||||
\(79\) | −6.29900 | − | 9.80143i | −0.708692 | − | 1.10275i | −0.989716 | − | 0.143046i | \(-0.954310\pi\) |
0.281024 | − | 0.959701i | \(-0.409326\pi\) | |||||||
\(80\) | −3.62286 | + | 2.32827i | −0.405049 | + | 0.260309i | ||||
\(81\) | −6.21469 | − | 6.50981i | −0.690522 | − | 0.723312i | ||||
\(82\) | −3.39537 | − | 3.91846i | −0.374956 | − | 0.432722i | ||||
\(83\) | 0.724797 | + | 2.46843i | 0.0795568 | + | 0.270946i | 0.989659 | − | 0.143437i | \(-0.0458156\pi\) |
−0.910103 | + | 0.414383i | \(0.863997\pi\) | |||||||
\(84\) | 11.4414 | − | 0.137909i | 1.24836 | − | 0.0150471i | ||||
\(85\) | 0.335044 | − | 0.0481721i | 0.0363406 | − | 0.00522499i | ||||
\(86\) | −4.15238 | + | 3.59806i | −0.447763 | + | 0.387989i | ||||
\(87\) | 5.37953 | − | 3.54955i | 0.576746 | − | 0.380552i | ||||
\(88\) | 1.30368 | + | 0.382796i | 0.138973 | + | 0.0408062i | ||||
\(89\) | 5.23749 | + | 2.39188i | 0.555172 | + | 0.253539i | 0.673186 | − | 0.739473i | \(-0.264925\pi\) |
−0.118014 | + | 0.993012i | \(0.537653\pi\) | |||||||
\(90\) | 2.81764 | + | 3.09761i | 0.297006 | + | 0.326516i | ||||
\(91\) | 0.149368 | − | 1.03888i | 0.0156580 | − | 0.108904i | ||||
\(92\) | 3.04325 | + | 4.73538i | 0.317280 | + | 0.493698i | ||||
\(93\) | 12.4662 | − | 0.150261i | 1.29268 | − | 0.0155813i | ||||
\(94\) | −2.13255 | + | 7.26279i | −0.219956 | + | 0.749100i | ||||
\(95\) | −6.70099 | − | 4.30646i | −0.687507 | − | 0.441834i | ||||
\(96\) | −9.57992 | + | 1.49545i | −0.977746 | + | 0.152628i | ||||
\(97\) | − | 0.463139i | − | 0.0470246i | −0.999724 | − | 0.0235123i | \(-0.992515\pi\) | ||
0.999724 | − | 0.0235123i | \(-0.00748489\pi\) | |||||||
\(98\) | 4.91073 | + | 3.15593i | 0.496059 | + | 0.318798i | ||||
\(99\) | −0.217401 | + | 1.82300i | −0.0218497 | + | 0.183219i | ||||
\(100\) | 0.205480 | + | 0.237136i | 0.0205480 | + | 0.0237136i | ||||
\(101\) | 11.5565 | + | 13.3369i | 1.14991 | + | 1.32707i | 0.936729 | + | 0.350055i | \(0.113837\pi\) |
0.213182 | + | 0.977013i | \(0.431617\pi\) | |||||||
\(102\) | 0.151721 | + | 0.0425698i | 0.0150226 | + | 0.00421504i | ||||
\(103\) | −1.40682 | − | 0.904111i | −0.138619 | − | 0.0890847i | 0.469494 | − | 0.882936i | \(-0.344437\pi\) |
−0.608112 | + | 0.793851i | \(0.708073\pi\) | |||||||
\(104\) | 0.573143i | 0.0562013i | ||||||||
\(105\) | −2.47513 | − | 15.8558i | −0.241548 | − | 1.54737i | ||||
\(106\) | 6.67201 | + | 4.28784i | 0.648043 | + | 0.416472i | ||||
\(107\) | 2.70816 | − | 9.22316i | 0.261808 | − | 0.891636i | −0.718727 | − | 0.695292i | \(-0.755275\pi\) |
0.980535 | − | 0.196344i | \(-0.0629069\pi\) | |||||||
\(108\) | −2.66994 | − | 8.00963i | −0.256915 | − | 0.770727i | ||||
\(109\) | 5.69335 | + | 8.85902i | 0.545324 | + | 0.848541i | 0.999093 | − | 0.0425786i | \(-0.0135573\pi\) |
−0.453769 | + | 0.891119i | \(0.649921\pi\) | |||||||
\(110\) | 0.121564 | − | 0.845498i | 0.0115907 | − | 0.0806150i | ||||
\(111\) | 4.44948 | + | 6.74342i | 0.422326 | + | 0.640057i | ||||
\(112\) | 6.98906 | + | 3.19180i | 0.660404 | + | 0.301596i | ||||
\(113\) | 8.96143 | + | 2.63131i | 0.843021 | + | 0.247533i | 0.674601 | − | 0.738182i | \(-0.264316\pi\) |
0.168419 | + | 0.985715i | \(0.446134\pi\) | |||||||
\(114\) | −2.04228 | − | 3.09518i | −0.191277 | − | 0.289890i | ||||
\(115\) | 5.96636 | − | 5.16988i | 0.556366 | − | 0.482094i | ||||
\(116\) | 5.98457 | − | 0.860451i | 0.555653 | − | 0.0798908i | ||||
\(117\) | −0.763677 | + | 0.128659i | −0.0706019 | + | 0.0118945i | ||||
\(118\) | −0.768162 | − | 2.61612i | −0.0707150 | − | 0.240833i | ||||
\(119\) | −0.395477 | − | 0.456405i | −0.0362533 | − | 0.0418386i | ||||
\(120\) | 2.57010 | + | 8.37804i | 0.234617 | + | 0.764807i | ||||
\(121\) | −8.93873 | + | 5.74457i | −0.812612 | + | 0.522234i | ||||
\(122\) | 2.63704 | + | 4.10331i | 0.238746 | + | 0.371496i | ||||
\(123\) | 13.2625 | − | 6.25107i | 1.19584 | − | 0.563640i | ||||
\(124\) | 10.6385 | + | 4.85843i | 0.955364 | + | 0.436300i | ||||
\(125\) | −7.17343 | + | 8.27858i | −0.641611 | + | 0.740459i | ||||
\(126\) | 1.93140 | − | 7.21690i | 0.172063 | − | 0.642933i | ||||
\(127\) | −9.24689 | + | 10.6715i | −0.820529 | + | 0.946941i | −0.999317 | − | 0.0369469i | \(-0.988237\pi\) |
0.178789 | + | 0.983888i | \(0.442782\pi\) | |||||||
\(128\) | −10.9486 | − | 3.21478i | −0.967724 | − | 0.284150i | ||||
\(129\) | −6.62423 | − | 14.0543i | −0.583231 | − | 1.23741i | ||||
\(130\) | 0.356652 | − | 0.0512789i | 0.0312805 | − | 0.00449746i | ||||
\(131\) | −8.93972 | + | 4.08263i | −0.781067 | + | 0.356701i | −0.765714 | − | 0.643181i | \(-0.777614\pi\) |
−0.0153524 | + | 0.999882i | \(0.504887\pi\) | |||||||
\(132\) | −0.913605 | + | 1.45999i | −0.0795191 | + | 0.127076i | ||||
\(133\) | 14.2115i | 1.23229i | ||||||||
\(134\) | 4.91243 | − | 1.00192i | 0.424369 | − | 0.0865531i | ||||
\(135\) | −10.5863 | + | 5.30518i | −0.911121 | + | 0.456597i | ||||
\(136\) | 0.249234 | + | 0.215962i | 0.0213716 | + | 0.0185186i | ||||
\(137\) | 3.38342 | + | 7.40865i | 0.289065 | + | 0.632963i | 0.997333 | − | 0.0729795i | \(-0.0232508\pi\) |
−0.708269 | + | 0.705943i | \(0.750524\pi\) | |||||||
\(138\) | 3.51364 | − | 1.07787i | 0.299101 | − | 0.0917540i | ||||
\(139\) | 4.93654 | + | 16.8123i | 0.418712 | + | 1.42600i | 0.851428 | + | 0.524471i | \(0.175737\pi\) |
−0.432717 | + | 0.901530i | \(0.642445\pi\) | |||||||
\(140\) | 4.24134 | − | 14.4447i | 0.358458 | − | 1.22080i | ||||
\(141\) | −18.1451 | − | 11.3545i | −1.52810 | − | 0.956222i | ||||
\(142\) | 3.99178 | − | 6.21134i | 0.334983 | − | 0.521244i | ||||
\(143\) | 0.119392 | + | 0.103454i | 0.00998409 | + | 0.00865127i | ||||
\(144\) | 0.671337 | − | 5.62945i | 0.0559448 | − | 0.469121i | ||||
\(145\) | −2.38900 | − | 8.13619i | −0.198396 | − | 0.675674i | ||||
\(146\) | −5.65699 | + | 3.63553i | −0.468176 | + | 0.300879i | ||||
\(147\) | −12.3440 | + | 10.9594i | −1.01812 | + | 0.903919i | ||||
\(148\) | 1.07860 | + | 7.50186i | 0.0886607 | + | 0.616649i | ||||
\(149\) | 0.0805576 | − | 0.0698036i | 0.00659954 | − | 0.00571853i | −0.651555 | − | 0.758602i | \(-0.725883\pi\) |
0.658154 | + | 0.752883i | \(0.271337\pi\) | |||||||
\(150\) | 0.185317 | − | 0.0873461i | 0.0151311 | − | 0.00713178i | ||||
\(151\) | 0.0510441 | − | 0.355020i | 0.00415391 | − | 0.0288911i | −0.987639 | − | 0.156745i | \(-0.949900\pi\) |
0.991793 | + | 0.127854i | \(0.0408089\pi\) | |||||||
\(152\) | −1.10445 | − | 7.68161i | −0.0895826 | − | 0.623061i | ||||
\(153\) | −0.231808 | + | 0.380567i | −0.0187406 | + | 0.0307670i | ||||
\(154\) | −1.38627 | + | 0.633090i | −0.111709 | + | 0.0510158i | ||||
\(155\) | 4.62120 | − | 15.7383i | 0.371183 | − | 1.26413i | ||||
\(156\) | −0.699490 | − | 0.196263i | −0.0560040 | − | 0.0157136i | ||||
\(157\) | −1.42377 | − | 3.11763i | −0.113629 | − | 0.248814i | 0.844270 | − | 0.535918i | \(-0.180035\pi\) |
−0.957899 | + | 0.287105i | \(0.907307\pi\) | |||||||
\(158\) | −7.06363 | − | 1.01560i | −0.561952 | − | 0.0807966i | ||||
\(159\) | −16.7714 | + | 14.8901i | −1.33006 | + | 1.18086i | ||||
\(160\) | −1.81549 | + | 12.6270i | −0.143527 | + | 0.998251i | ||||
\(161\) | −13.5145 | − | 3.96823i | −1.06509 | − | 0.312740i | ||||
\(162\) | −5.50613 | + | 0.265665i | −0.432602 | + | 0.0208726i | ||||
\(163\) | −13.2072 | −1.03447 | −0.517233 | − | 0.855845i | \(-0.673038\pi\) | ||||
−0.517233 | + | 0.855845i | \(0.673038\pi\) | |||||||
\(164\) | 13.7543 | 1.07403 | ||||||||
\(165\) | 2.20915 | + | 0.976881i | 0.171982 | + | 0.0760501i | ||||
\(166\) | 1.43336 | + | 0.654592i | 0.111250 | + | 0.0508062i | ||||
\(167\) | 4.07434 | − | 3.53044i | 0.315282 | − | 0.273193i | −0.482815 | − | 0.875722i | \(-0.660386\pi\) |
0.798097 | + | 0.602529i | \(0.205840\pi\) | |||||||
\(168\) | 10.0956 | − | 11.9387i | 0.778895 | − | 0.921094i | ||||
\(169\) | 5.37271 | − | 11.7646i | 0.413286 | − | 0.904969i | ||||
\(170\) | 0.112089 | − | 0.174414i | 0.00859683 | − | 0.0133769i | ||||
\(171\) | 9.98733 | − | 3.19597i | 0.763750 | − | 0.244402i | ||||
\(172\) | − | 14.5754i | − | 1.11136i | ||||||
\(173\) | 7.56932 | − | 11.7781i | 0.575485 | − | 0.895472i | −0.424465 | − | 0.905444i | \(-0.639538\pi\) |
0.999950 | + | 0.00997206i | \(0.00317426\pi\) | |||||||
\(174\) | 0.514669 | − | 3.91392i | 0.0390169 | − | 0.296714i | ||||
\(175\) | −0.777155 | − | 0.111738i | −0.0587474 | − | 0.00844660i | ||||
\(176\) | −0.972907 | + | 0.625249i | −0.0733356 | + | 0.0471299i | ||||
\(177\) | 7.70967 | − | 0.0929284i | 0.579495 | − | 0.00698493i | ||||
\(178\) | 3.20798 | − | 1.46504i | 0.240448 | − | 0.109809i | ||||
\(179\) | −5.78824 | + | 12.6745i | −0.432634 | + | 0.947335i | 0.560259 | + | 0.828318i | \(0.310702\pi\) |
−0.992892 | + | 0.119018i | \(0.962026\pi\) | |||||||
\(180\) | −11.1050 | + | 0.267747i | −0.827719 | + | 0.0199567i | ||||
\(181\) | 4.86921 | + | 10.6621i | 0.361925 | + | 0.792506i | 0.999751 | + | 0.0223250i | \(0.00710686\pi\) |
−0.637825 | + | 0.770181i | \(0.720166\pi\) | |||||||
\(182\) | −0.420983 | − | 0.485841i | −0.0312054 | − | 0.0360129i | ||||
\(183\) | −13.1865 | + | 4.04517i | −0.974774 | + | 0.299027i | ||||
\(184\) | 7.61329 | + | 1.09463i | 0.561259 | + | 0.0806968i | ||||
\(185\) | 10.1990 | − | 2.99469i | 0.749845 | − | 0.220174i | ||||
\(186\) | 4.93068 | − | 5.83085i | 0.361535 | − | 0.427538i | ||||
\(187\) | 0.0899748 | − | 0.0129364i | 0.00657961 | − | 0.000946005i | ||||
\(188\) | −10.8561 | − | 16.8924i | −0.791760 | − | 1.23200i | ||||
\(189\) | 18.1739 | + | 10.7718i | 1.32195 | + | 0.783532i | ||||
\(190\) | −4.68126 | + | 1.37454i | −0.339614 | + | 0.0997197i | ||||
\(191\) | −9.03085 | + | 19.7748i | −0.653450 | + | 1.43086i | 0.235052 | + | 0.971983i | \(0.424474\pi\) |
−0.888502 | + | 0.458872i | \(0.848253\pi\) | |||||||
\(192\) | 0.322305 | − | 0.515062i | 0.0232604 | − | 0.0371714i | ||||
\(193\) | −2.54738 | − | 1.63710i | −0.183365 | − | 0.117841i | 0.445738 | − | 0.895163i | \(-0.352941\pi\) |
−0.629103 | + | 0.777322i | \(0.716578\pi\) | |||||||
\(194\) | −0.214387 | − | 0.185767i | −0.0153921 | − | 0.0133373i | ||||
\(195\) | −0.132841 | + | 1.01022i | −0.00951296 | + | 0.0723436i | ||||
\(196\) | −14.8581 | + | 4.36273i | −1.06129 | + | 0.311623i | ||||
\(197\) | −1.25611 | − | 8.73646i | −0.0894944 | − | 0.622447i | −0.984368 | − | 0.176126i | \(-0.943643\pi\) |
0.894873 | − | 0.446320i | \(-0.147266\pi\) | |||||||
\(198\) | 0.756667 | + | 0.831851i | 0.0537740 | + | 0.0591170i | ||||
\(199\) | 16.7480 | − | 19.3282i | 1.18723 | − | 1.37014i | 0.274495 | − | 0.961589i | \(-0.411489\pi\) |
0.912736 | − | 0.408549i | \(-0.133965\pi\) | |||||||
\(200\) | 0.428753 | 0.0303174 | ||||||||
\(201\) | −1.02483 | + | 14.1404i | −0.0722857 | + | 0.997384i | ||||
\(202\) | 10.8090 | 0.760517 | ||||||||
\(203\) | −9.90731 | + | 11.4336i | −0.695357 | + | 0.802485i | ||||
\(204\) | −0.348915 | + | 0.230223i | −0.0244290 | + | 0.0161189i | ||||
\(205\) | −2.74532 | − | 19.0941i | −0.191742 | − | 1.33359i | ||||
\(206\) | −0.982796 | + | 0.288575i | −0.0684747 | + | 0.0201060i | ||||
\(207\) | 0.250506 | + | 10.3899i | 0.0174114 | + | 0.722150i | ||||
\(208\) | −0.368685 | − | 0.319467i | −0.0255637 | − | 0.0221511i | ||||
\(209\) | −1.79952 | − | 1.15648i | −0.124476 | − | 0.0799957i | ||||
\(210\) | −8.33242 | − | 5.21410i | −0.574992 | − | 0.359807i | ||||
\(211\) | −2.10359 | + | 4.60622i | −0.144817 | + | 0.317105i | −0.968116 | − | 0.250503i | \(-0.919404\pi\) |
0.823299 | + | 0.567608i | \(0.192131\pi\) | |||||||
\(212\) | −20.1871 | + | 5.92746i | −1.38645 | + | 0.407100i | ||||
\(213\) | 13.8620 | + | 15.6134i | 0.949811 | + | 1.06981i | ||||
\(214\) | −3.18314 | − | 4.95306i | −0.217595 | − | 0.338584i | ||||
\(215\) | −20.2340 | + | 2.90921i | −1.37995 | + | 0.198406i | ||||
\(216\) | −10.6605 | − | 4.40999i | −0.725355 | − | 0.300062i | ||||
\(217\) | −28.0793 | + | 8.24484i | −1.90615 | + | 0.559696i | ||||
\(218\) | 6.38447 | + | 0.917948i | 0.432411 | + | 0.0621713i | ||||
\(219\) | −5.57684 | − | 18.1795i | −0.376848 | − | 1.22845i | ||||
\(220\) | 1.48391 | + | 1.71252i | 0.100045 | + | 0.115458i | ||||
\(221\) | 0.0159287 | + | 0.0348789i | 0.00107148 | + | 0.00234621i | ||||
\(222\) | 4.90623 | + | 0.645155i | 0.329285 | + | 0.0432999i | ||||
\(223\) | 5.09959 | − | 11.1666i | 0.341494 | − | 0.747768i | −0.658494 | − | 0.752586i | \(-0.728806\pi\) |
0.999988 | + | 0.00481796i | \(0.00153361\pi\) | |||||||
\(224\) | 20.7032 | − | 9.45481i | 1.38329 | − | 0.631726i | ||||
\(225\) | 0.0962461 | + | 0.571286i | 0.00641640 | + | 0.0380857i | ||||
\(226\) | 4.81251 | − | 3.09281i | 0.320123 | − | 0.205731i | ||||
\(227\) | −15.5189 | − | 2.23128i | −1.03003 | − | 0.148095i | −0.393479 | − | 0.919334i | \(-0.628729\pi\) |
−0.636547 | + | 0.771238i | \(0.719638\pi\) | |||||||
\(228\) | 9.75318 | + | 1.28251i | 0.645920 | + | 0.0849365i | ||||
\(229\) | 8.66063 | − | 13.4762i | 0.572311 | − | 0.890533i | −0.427599 | − | 0.903968i | \(-0.640641\pi\) |
0.999910 | + | 0.0134359i | \(0.00427689\pi\) | |||||||
\(230\) | − | 4.83549i | − | 0.318843i | ||||||
\(231\) | −0.664686 | − | 4.25801i | −0.0437331 | − | 0.280157i | ||||
\(232\) | 4.46654 | − | 6.95008i | 0.293243 | − | 0.456295i | ||||
\(233\) | 5.46276 | − | 11.9618i | 0.357877 | − | 0.783642i | −0.641979 | − | 0.766722i | \(-0.721887\pi\) |
0.999857 | − | 0.0169205i | \(-0.00538621\pi\) | |||||||
\(234\) | −0.246758 | + | 0.405111i | −0.0161311 | + | 0.0264829i | ||||
\(235\) | −21.2836 | + | 18.4423i | −1.38839 | + | 1.20305i | ||||
\(236\) | 6.57935 | + | 3.00469i | 0.428279 | + | 0.195589i | ||||
\(237\) | 8.16126 | − | 18.4562i | 0.530131 | − | 1.19886i | ||||
\(238\) | −0.369898 | −0.0239769 | ||||||||
\(239\) | −3.04898 | −0.197222 | −0.0986110 | − | 0.995126i | \(-0.531440\pi\) | ||||
−0.0986110 | + | 0.995126i | \(0.531440\pi\) | |||||||
\(240\) | −6.82188 | − | 3.01662i | −0.440351 | − | 0.194722i | ||||
\(241\) | 14.3575 | + | 4.21573i | 0.924846 | + | 0.271559i | 0.709277 | − | 0.704929i | \(-0.249021\pi\) |
0.215569 | + | 0.976489i | \(0.430840\pi\) | |||||||
\(242\) | −0.926206 | + | 6.44191i | −0.0595388 | + | 0.414101i | ||||
\(243\) | 3.48297 | − | 15.1944i | 0.223433 | − | 0.974719i | ||||
\(244\) | −12.8075 | − | 1.84145i | −0.819919 | − | 0.117887i | ||||
\(245\) | 9.02208 | + | 19.7556i | 0.576399 | + | 1.26214i | ||||
\(246\) | 2.42605 | − | 8.64656i | 0.154679 | − | 0.551284i | ||||
\(247\) | 0.254215 | − | 0.865776i | 0.0161753 | − | 0.0550880i | ||||
\(248\) | 14.5367 | − | 6.63870i | 0.923083 | − | 0.421558i | ||||
\(249\) | −2.87723 | + | 3.40251i | −0.182337 | + | 0.215625i | ||||
\(250\) | 0.954854 | + | 6.64115i | 0.0603902 | + | 0.420023i | ||||
\(251\) | 3.36070 | − | 23.3742i | 0.212126 | − | 1.47537i | −0.553914 | − | 0.832574i | \(-0.686866\pi\) |
0.766040 | − | 0.642793i | \(-0.222225\pi\) | |||||||
\(252\) | 11.1135 | + | 16.4094i | 0.700085 | + | 1.03369i | ||||
\(253\) | 1.60224 | − | 1.38835i | 0.100732 | − | 0.0872850i | ||||
\(254\) | 1.23085 | + | 8.56076i | 0.0772305 | + | 0.537150i | ||||
\(255\) | 0.389245 | + | 0.438422i | 0.0243754 | + | 0.0274550i | ||||
\(256\) | −5.28942 | + | 3.39931i | −0.330589 | + | 0.212457i | ||||
\(257\) | −1.43551 | − | 4.88890i | −0.0895447 | − | 0.304961i | 0.902527 | − | 0.430633i | \(-0.141710\pi\) |
−0.992072 | + | 0.125672i | \(0.959891\pi\) | |||||||
\(258\) | −9.16272 | − | 2.57088i | −0.570446 | − | 0.160056i | ||||
\(259\) | −14.3325 | − | 12.4192i | −0.890576 | − | 0.771689i | ||||
\(260\) | −0.516772 | + | 0.804113i | −0.0320488 | + | 0.0498690i | ||||
\(261\) | 10.2632 | + | 4.39124i | 0.635275 | + | 0.271811i | ||||
\(262\) | −1.69591 | + | 5.77575i | −0.104774 | + | 0.356827i | ||||
\(263\) | 6.71906 | + | 22.8830i | 0.414315 | + | 1.41103i | 0.857447 | + | 0.514572i | \(0.172049\pi\) |
−0.443132 | + | 0.896456i | \(0.646133\pi\) | |||||||
\(264\) | 0.690189 | + | 2.24989i | 0.0424782 | + | 0.138471i | ||||
\(265\) | 12.2579 | + | 26.8411i | 0.752999 | + | 1.64884i | ||||
\(266\) | 6.57849 | + | 5.70029i | 0.403353 | + | 0.349507i | ||||
\(267\) | 1.53815 | + | 9.85348i | 0.0941334 | + | 0.603023i | ||||
\(268\) | −6.52518 | + | 11.5892i | −0.398589 | + | 0.707921i | ||||
\(269\) | − | 19.5070i | − | 1.18936i | −0.803961 | − | 0.594682i | \(-0.797278\pi\) | ||
0.803961 | − | 0.594682i | \(-0.202722\pi\) | |||||||
\(270\) | −1.79044 | + | 7.02831i | −0.108962 | + | 0.427729i | ||||
\(271\) | 5.96026 | − | 2.72196i | 0.362060 | − | 0.165347i | −0.226075 | − | 0.974110i | \(-0.572590\pi\) |
0.588135 | + | 0.808763i | \(0.299862\pi\) | |||||||
\(272\) | −0.277843 | + | 0.0399478i | −0.0168467 | + | 0.00242219i | ||||
\(273\) | 1.64439 | − | 0.775055i | 0.0995230 | − | 0.0469085i | ||||
\(274\) | 4.78656 | + | 1.40546i | 0.289167 | + | 0.0849070i | ||||
\(275\) | 0.0773912 | − | 0.0893142i | 0.00466686 | − | 0.00538585i | ||||
\(276\) | −3.94297 | + | 8.91676i | −0.237339 | + | 0.536726i | ||||
\(277\) | 14.3006 | − | 16.5038i | 0.859240 | − | 0.991616i | −0.140759 | − | 0.990044i | \(-0.544954\pi\) |
0.999999 | − | 0.00157213i | \(-0.000500424\pi\) | |||||||
\(278\) | 9.76248 | + | 4.45837i | 0.585514 | + | 0.267395i | ||||
\(279\) | 12.1088 | + | 17.8790i | 0.724937 | + | 1.07039i | ||||
\(280\) | −11.1215 | − | 17.3053i | −0.664634 | − | 1.03419i | ||||
\(281\) | 0.963128 | − | 0.618965i | 0.0574554 | − | 0.0369244i | −0.511598 | − | 0.859225i | \(-0.670946\pi\) |
0.569053 | + | 0.822301i | \(0.307310\pi\) | |||||||
\(282\) | −12.5341 | + | 3.84503i | −0.746394 | + | 0.228968i | ||||
\(283\) | 7.82689 | + | 9.03271i | 0.465260 | + | 0.536939i | 0.939087 | − | 0.343679i | \(-0.111673\pi\) |
−0.473827 | + | 0.880618i | \(0.657128\pi\) | |||||||
\(284\) | 5.51819 | + | 18.7932i | 0.327445 | + | 1.11517i | ||||
\(285\) | −0.166285 | − | 13.7956i | −0.00984988 | − | 0.817181i | ||||
\(286\) | 0.0957777 | − | 0.0137708i | 0.00566345 | − | 0.000814282i | ||||
\(287\) | −26.0105 | + | 22.5382i | −1.53535 | + | 1.33039i | ||||
\(288\) | −11.3004 | − | 12.4232i | −0.665880 | − | 0.732043i | ||||
\(289\) | −16.2902 | − | 4.78324i | −0.958248 | − | 0.281367i | ||||
\(290\) | −4.72448 | − | 2.15760i | −0.277431 | − | 0.126698i | ||||
\(291\) | 0.669561 | − | 0.441793i | 0.0392503 | − | 0.0258984i | ||||
\(292\) | 2.53870 | − | 17.6570i | 0.148566 | − | 1.03330i | ||||
\(293\) | 7.71750 | + | 12.0087i | 0.450861 | + | 0.701554i | 0.990063 | − | 0.140623i | \(-0.0449104\pi\) |
−0.539202 | + | 0.842176i | \(0.681274\pi\) | |||||||
\(294\) | 0.121860 | + | 10.1099i | 0.00710701 | + | 0.589623i | ||||
\(295\) | 2.85797 | − | 9.73335i | 0.166397 | − | 0.566698i | ||||
\(296\) | 8.71216 | + | 5.59897i | 0.506384 | + | 0.325433i | ||||
\(297\) | −2.84290 | + | 1.42469i | −0.164962 | + | 0.0826687i | ||||
\(298\) | − | 0.0652886i | − | 0.00378207i | ||||||
\(299\) | 0.752334 | + | 0.483496i | 0.0435086 | + | 0.0279613i | ||||
\(300\) | −0.146819 | + | 0.523269i | −0.00847659 | + | 0.0302110i | ||||
\(301\) | 23.8837 | + | 27.5632i | 1.37663 | + | 1.58872i | ||||
\(302\) | −0.143864 | − | 0.166028i | −0.00827846 | − | 0.00955386i | ||||
\(303\) | −8.25730 | + | 29.4294i | −0.474369 | + | 1.69067i | ||||
\(304\) | 5.55695 | + | 3.57123i | 0.318713 | + | 0.204824i | ||||
\(305\) | 18.1473i | 1.03911i | ||||||||
\(306\) | 0.0831849 | + | 0.259951i | 0.00475536 | + | 0.0148604i | ||||
\(307\) | −4.69484 | − | 3.01719i | −0.267949 | − | 0.172200i | 0.399767 | − | 0.916617i | \(-0.369091\pi\) |
−0.667715 | + | 0.744417i | \(0.732728\pi\) | |||||||
\(308\) | 1.13900 | − | 3.87906i | 0.0649003 | − | 0.221030i | ||||
\(309\) | −0.0349104 | − | 2.89629i | −0.00198598 | − | 0.164764i | ||||
\(310\) | −5.43169 | − | 8.45187i | −0.308499 | − | 0.480034i | ||||
\(311\) | 3.77958 | − | 26.2876i | 0.214320 | − | 1.49063i | −0.544186 | − | 0.838965i | \(-0.683161\pi\) |
0.758506 | − | 0.651666i | \(-0.225930\pi\) | |||||||
\(312\) | −0.828594 | + | 0.546728i | −0.0469099 | + | 0.0309524i | ||||
\(313\) | 2.55952 | + | 1.16889i | 0.144673 | + | 0.0660697i | 0.486436 | − | 0.873716i | \(-0.338297\pi\) |
−0.341763 | + | 0.939786i | \(0.611024\pi\) | |||||||
\(314\) | −2.01423 | − | 0.591432i | −0.113670 | − | 0.0333764i | ||||
\(315\) | 20.5617 | − | 18.7033i | 1.15852 | − | 1.05381i | ||||
\(316\) | 14.3071 | − | 12.3971i | 0.804836 | − | 0.697394i | ||||
\(317\) | −26.7751 | + | 3.84968i | −1.50384 | + | 0.216220i | −0.844472 | − | 0.535600i | \(-0.820086\pi\) |
−0.659369 | + | 0.751819i | \(0.729177\pi\) | |||||||
\(318\) | 0.165566 | + | 13.7360i | 0.00928449 | + | 0.770274i | ||||
\(319\) | −0.641557 | − | 2.18494i | −0.0359203 | − | 0.122333i | ||||
\(320\) | −0.523498 | − | 0.604149i | −0.0292644 | − | 0.0337730i | ||||
\(321\) | 15.9173 | − | 4.88287i | 0.888416 | − | 0.272535i | ||||
\(322\) | −7.25763 | + | 4.66420i | −0.404452 | + | 0.259926i | ||||
\(323\) | −0.280697 | − | 0.436773i | −0.0156184 | − | 0.0243027i | ||||
\(324\) | 9.03265 | − | 11.5004i | 0.501814 | − | 0.638912i | ||||
\(325\) | 0.0453462 | + | 0.0207089i | 0.00251536 | + | 0.00114872i | ||||
\(326\) | −5.29746 | + | 6.11359i | −0.293399 | + | 0.338601i | ||||
\(327\) | −7.37656 | + | 16.6816i | −0.407925 | + | 0.922495i | ||||
\(328\) | 12.3077 | − | 14.2038i | 0.679577 | − | 0.784274i | ||||
\(329\) | 48.2099 | + | 14.1557i | 2.65790 | + | 0.780430i | ||||
\(330\) | 1.33830 | − | 0.630784i | 0.0736709 | − | 0.0347235i | ||||
\(331\) | −8.78499 | + | 1.26309i | −0.482867 | + | 0.0694257i | −0.379450 | − | 0.925212i | \(-0.623887\pi\) |
−0.103417 | + | 0.994638i | \(0.532978\pi\) | |||||||
\(332\) | −3.80238 | + | 1.73649i | −0.208683 | + | 0.0953022i | ||||
\(333\) | −5.50456 | + | 12.8652i | −0.301648 | + | 0.705011i | ||||
\(334\) | − | 3.30208i | − | 0.180682i | ||||||
\(335\) | 17.3908 | + | 6.74527i | 0.950161 | + | 0.368533i | ||||
\(336\) | 2.05256 | + | 13.1488i | 0.111976 | + | 0.717325i | ||||
\(337\) | −12.7358 | − | 11.0356i | −0.693761 | − | 0.601148i | 0.234925 | − | 0.972013i | \(-0.424516\pi\) |
−0.928686 | + | 0.370866i | \(0.879061\pi\) | |||||||
\(338\) | −3.29081 | − | 7.20586i | −0.178996 | − | 0.391947i | ||||
\(339\) | 4.74432 | + | 15.4656i | 0.257676 | + | 0.839976i | ||||
\(340\) | 0.154950 | + | 0.527712i | 0.00840336 | + | 0.0286192i | ||||
\(341\) | 1.24100 | − | 4.22647i | 0.0672042 | − | 0.228876i | ||||
\(342\) | 2.52655 | − | 5.90505i | 0.136620 | − | 0.319308i | ||||
\(343\) | 5.56208 | − | 8.65476i | 0.300324 | − | 0.467313i | ||||
\(344\) | −15.0517 | − | 13.0424i | −0.811534 | − | 0.703198i | ||||
\(345\) | 13.1655 | + | 3.69397i | 0.708806 | + | 0.198877i | ||||
\(346\) | −2.41598 | − | 8.22809i | −0.129884 | − | 0.442345i | ||||
\(347\) | 12.8320 | − | 8.24665i | 0.688860 | − | 0.442703i | −0.148821 | − | 0.988864i | \(-0.547548\pi\) |
0.837680 | + | 0.546161i | \(0.183911\pi\) | |||||||
\(348\) | 6.95270 | + | 7.83110i | 0.372704 | + | 0.419791i | ||||
\(349\) | −2.07145 | − | 14.4072i | −0.110882 | − | 0.771202i | −0.967065 | − | 0.254529i | \(-0.918079\pi\) |
0.856183 | − | 0.516673i | \(-0.172830\pi\) | |||||||
\(350\) | −0.363444 | + | 0.314926i | −0.0194269 | + | 0.0168335i | ||||
\(351\) | −0.914482 | − | 0.981320i | −0.0488114 | − | 0.0523790i | ||||
\(352\) | −0.487542 | + | 3.39093i | −0.0259861 | + | 0.180737i | ||||
\(353\) | −1.16247 | − | 8.08514i | −0.0618719 | − | 0.430328i | −0.997089 | − | 0.0762524i | \(-0.975705\pi\) |
0.935217 | − | 0.354076i | \(-0.115205\pi\) | |||||||
\(354\) | 3.04937 | − | 3.60608i | 0.162072 | − | 0.191661i | ||||
\(355\) | 24.9879 | − | 11.4116i | 1.32622 | − | 0.605664i | ||||
\(356\) | −2.63575 | + | 8.97655i | −0.139695 | + | 0.475756i | ||||
\(357\) | 0.282576 | − | 1.00711i | 0.0149555 | − | 0.0533020i | ||||
\(358\) | 3.54532 | + | 7.76317i | 0.187376 | + | 0.410296i | ||||
\(359\) | 25.7851 | + | 3.70733i | 1.36088 | + | 0.195666i | 0.783797 | − | 0.621017i | \(-0.213280\pi\) |
0.577087 | + | 0.816683i | \(0.304189\pi\) | |||||||
\(360\) | −9.66050 | + | 11.7075i | −0.509153 | + | 0.617039i | ||||
\(361\) | 0.965196 | − | 6.71309i | 0.0507998 | − | 0.353320i | ||||
\(362\) | 6.88853 | + | 2.02266i | 0.362053 | + | 0.106308i | ||||
\(363\) | −16.8317 | − | 7.44292i | −0.883435 | − | 0.390652i | ||||
\(364\) | 1.70537 | 0.0893855 | ||||||||
\(365\) | −25.0187 | −1.30954 | ||||||||
\(366\) | −3.41666 | + | 7.72656i | −0.178592 | + | 0.403874i | ||||
\(367\) | −31.5542 | − | 14.4103i | −1.64712 | − | 0.752213i | −0.647168 | − | 0.762348i | \(-0.724047\pi\) |
−0.999949 | + | 0.0101350i | \(0.996774\pi\) | |||||||
\(368\) | −4.94774 | + | 4.28724i | −0.257919 | + | 0.223488i | ||||
\(369\) | 21.6885 | + | 13.2107i | 1.12906 | + | 0.687722i | ||||
\(370\) | 2.70462 | − | 5.92229i | 0.140607 | − | 0.307885i | ||||
\(371\) | 28.4624 | − | 44.2883i | 1.47769 | − | 2.29934i | ||||
\(372\) | 3.12432 | + | 20.0146i | 0.161989 | + | 1.03771i | ||||
\(373\) | 23.2296i | 1.20279i | 0.798954 | + | 0.601393i | \(0.205387\pi\) | ||||
−0.798954 | + | 0.601393i | \(0.794613\pi\) | |||||||
\(374\) | 0.0301011 | − | 0.0468382i | 0.00155649 | − | 0.00242194i | ||||
\(375\) | −18.8112 | − | 2.47361i | −0.971405 | − | 0.127737i | ||||
\(376\) | −27.1586 | − | 3.90482i | −1.40060 | − | 0.201376i | ||||
\(377\) | 0.808087 | − | 0.519326i | 0.0416186 | − | 0.0267466i | ||||
\(378\) | 12.2759 | − | 4.09206i | 0.631403 | − | 0.210473i | ||||
\(379\) | 3.88567 | − | 1.77453i | 0.199594 | − | 0.0911514i | −0.313111 | − | 0.949717i | \(-0.601371\pi\) |
0.512704 | + | 0.858565i | \(0.328644\pi\) | |||||||
\(380\) | 5.37656 | − | 11.7730i | 0.275812 | − | 0.603943i | ||||
\(381\) | −24.2485 | − | 3.18860i | −1.24229 | − | 0.163357i | ||||
\(382\) | 5.53143 | + | 12.1121i | 0.283013 | + | 0.619711i | ||||
\(383\) | −0.345060 | − | 0.398220i | −0.0176317 | − | 0.0203481i | 0.746865 | − | 0.664975i | \(-0.231558\pi\) |
−0.764497 | + | 0.644627i | \(0.777013\pi\) | |||||||
\(384\) | −5.79633 | − | 18.8950i | −0.295792 | − | 0.964229i | ||||
\(385\) | −5.61235 | − | 0.806935i | −0.286032 | − | 0.0411252i | ||||
\(386\) | −1.77958 | + | 0.522532i | −0.0905783 | + | 0.0265962i | ||||
\(387\) | 13.9993 | − | 22.9832i | 0.711626 | − | 1.16830i | ||||
\(388\) | 0.744867 | − | 0.107096i | 0.0378149 | − | 0.00543696i | ||||
\(389\) | −19.7126 | − | 30.6734i | −0.999469 | − | 1.55520i | −0.820736 | − | 0.571307i | \(-0.806437\pi\) |
−0.178733 | − | 0.983898i | \(-0.557200\pi\) | |||||||
\(390\) | 0.414349 | + | 0.466698i | 0.0209814 | + | 0.0236322i | ||||
\(391\) | 0.493731 | − | 0.144973i | 0.0249691 | − | 0.00733158i | ||||
\(392\) | −8.79003 | + | 19.2475i | −0.443963 | + | 0.972144i | ||||
\(393\) | −14.4300 | − | 9.02969i | −0.727895 | − | 0.455488i | ||||
\(394\) | −4.54793 | − | 2.92278i | −0.229122 | − | 0.147248i | ||||
\(395\) | −20.0657 | − | 17.3870i | −1.00961 | − | 0.874836i | ||||
\(396\) | −2.98221 | + | 0.0719025i | −0.149862 | + | 0.00361324i | ||||
\(397\) | −0.782116 | + | 0.229650i | −0.0392533 | + | 0.0115258i | −0.301300 | − | 0.953529i | \(-0.597421\pi\) |
0.262047 | + | 0.965055i | \(0.415602\pi\) | |||||||
\(398\) | −2.22932 | − | 15.5052i | −0.111746 | − | 0.777207i | ||||
\(399\) | −20.5456 | + | 13.5565i | −1.02856 | + | 0.678674i | ||||
\(400\) | −0.238985 | + | 0.275803i | −0.0119492 | + | 0.0137901i | ||||
\(401\) | −9.07892 | −0.453380 | −0.226690 | − | 0.973967i | \(-0.572790\pi\) | ||||
−0.226690 | + | 0.973967i | \(0.572790\pi\) | |||||||
\(402\) | 6.13450 | + | 6.14615i | 0.305961 | + | 0.306542i | ||||
\(403\) | 1.85810 | 0.0925586 | ||||||||
\(404\) | −18.7774 | + | 21.6703i | −0.934210 | + | 1.07814i | ||||
\(405\) | −17.7681 | − | 10.2439i | −0.882903 | − | 0.509024i | ||||
\(406\) | 1.31876 | + | 9.17218i | 0.0654490 | + | 0.455208i | ||||
\(407\) | 2.73890 | − | 0.804214i | 0.135762 | − | 0.0398634i | ||||
\(408\) | −0.0744701 | + | 0.566326i | −0.00368682 | + | 0.0280373i | ||||
\(409\) | −2.94356 | − | 2.55061i | −0.145550 | − | 0.126119i | 0.579043 | − | 0.815297i | \(-0.303426\pi\) |
−0.724592 | + | 0.689178i | \(0.757972\pi\) | |||||||
\(410\) | −9.93983 | − | 6.38794i | −0.490893 | − | 0.315478i | ||||
\(411\) | −7.48322 | + | 11.9586i | −0.369120 | + | 0.589874i | ||||
\(412\) | 1.12877 | − | 2.47166i | 0.0556105 | − | 0.121770i | ||||
\(413\) | −17.3656 | + | 5.09900i | −0.854506 | + | 0.250906i | ||||
\(414\) | 4.90997 | + | 4.05149i | 0.241312 | + | 0.199120i | ||||
\(415\) | 3.16958 | + | 4.93197i | 0.155589 | + | 0.242101i | ||||
\(416\) | −1.43038 | + | 0.205658i | −0.0701302 | + | 0.0100832i | ||||
\(417\) | −19.5966 | + | 23.1742i | −0.959648 | + | 1.13485i | ||||
\(418\) | −1.25713 | + | 0.369128i | −0.0614884 | + | 0.0180546i | ||||
\(419\) | −21.4513 | − | 3.08423i | −1.04796 | − | 0.150674i | −0.403243 | − | 0.915093i | \(-0.632117\pi\) |
−0.644720 | + | 0.764419i | \(0.723026\pi\) | |||||||
\(420\) | 24.9285 | − | 7.64722i | 1.21639 | − | 0.373146i | ||||
\(421\) | 8.02953 | + | 9.26657i | 0.391335 | + | 0.451625i | 0.916893 | − | 0.399133i | \(-0.130689\pi\) |
−0.525558 | + | 0.850758i | \(0.676143\pi\) | |||||||
\(422\) | 1.28846 | + | 2.82133i | 0.0627211 | + | 0.137340i | ||||
\(423\) | −0.893622 | − | 37.0636i | −0.0434494 | − | 1.80210i | ||||
\(424\) | −11.9427 | + | 26.1508i | −0.579986 | + | 1.26999i | ||||
\(425\) | 0.0260919 | − | 0.0119158i | 0.00126564 | − | 0.000578001i | ||||
\(426\) | 12.7876 | − | 0.154135i | 0.619559 | − | 0.00746784i | ||||
\(427\) | 27.2375 | − | 17.5045i | 1.31811 | − | 0.847101i | ||||
\(428\) | 15.4598 | + | 2.22279i | 0.747280 | + | 0.107443i | ||||
\(429\) | −0.0356740 | + | 0.271292i | −0.00172236 | + | 0.0130981i | ||||
\(430\) | −6.76927 | + | 10.5332i | −0.326443 | + | 0.507955i | ||||
\(431\) | 22.6363i | 1.09035i | 0.838322 | + | 0.545175i | \(0.183537\pi\) | ||||
−0.838322 | + | 0.545175i | \(0.816463\pi\) | |||||||
\(432\) | 8.77891 | − | 4.39944i | 0.422375 | − | 0.211668i | ||||
\(433\) | −0.826932 | + | 1.28673i | −0.0397398 | + | 0.0618363i | −0.860555 | − | 0.509357i | \(-0.829883\pi\) |
0.820815 | + | 0.571194i | \(0.193519\pi\) | |||||||
\(434\) | −7.44622 | + | 16.3049i | −0.357430 | + | 0.782663i | ||||
\(435\) | 9.48361 | − | 11.2150i | 0.454704 | − | 0.537717i | ||||
\(436\) | −12.9315 | + | 11.2052i | −0.619304 | + | 0.536630i | ||||
\(437\) | −11.0149 | − | 5.03035i | −0.526915 | − | 0.240634i | ||||
\(438\) | −10.6522 | − | 4.71035i | −0.508980 | − | 0.225069i | ||||
\(439\) | 18.7007 | 0.892537 | 0.446269 | − | 0.894899i | \(-0.352753\pi\) | ||||
0.446269 | + | 0.894899i | \(0.352753\pi\) | |||||||
\(440\) | 3.09631 | 0.147611 | ||||||||
\(441\) | −27.6192 | − | 7.39149i | −1.31520 | − | 0.351976i | ||||
\(442\) | 0.0225345 | + | 0.00661672i | 0.00107186 | + | 0.000314725i | ||||
\(443\) | −0.299172 | + | 2.08078i | −0.0142141 | + | 0.0988610i | −0.995693 | − | 0.0927068i | \(-0.970448\pi\) |
0.981479 | + | 0.191568i | \(0.0613572\pi\) | |||||||
\(444\) | −9.81655 | + | 8.71544i | −0.465873 | + | 0.413617i | ||||
\(445\) | 12.9876 | + | 1.86733i | 0.615670 | + | 0.0885200i | ||||
\(446\) | −3.12352 | − | 6.83956i | −0.147903 | − | 0.323862i | ||||
\(447\) | 0.177760 | + | 0.0498759i | 0.00840776 | + | 0.00235905i | ||||
\(448\) | −0.401820 | + | 1.36847i | −0.0189842 | + | 0.0646542i | ||||
\(449\) | 33.0799 | − | 15.1071i | 1.56114 | − | 0.712948i | 0.567272 | − | 0.823530i | \(-0.307999\pi\) |
0.993867 | + | 0.110582i | \(0.0352715\pi\) | |||||||
\(450\) | 0.303053 | + | 0.184593i | 0.0142860 | + | 0.00870180i | ||||
\(451\) | −0.737246 | − | 5.12766i | −0.0347156 | − | 0.241452i | ||||
\(452\) | −2.15971 | + | 15.0211i | −0.101584 | + | 0.706535i | ||||
\(453\) | 0.561944 | − | 0.264863i | 0.0264024 | − | 0.0124443i | ||||
\(454\) | −7.25756 | + | 6.28872i | −0.340614 | + | 0.295144i | ||||
\(455\) | −0.340386 | − | 2.36743i | −0.0159575 | − | 0.110987i | ||||
\(456\) | 10.0518 | − | 8.92428i | 0.470717 | − | 0.417918i | ||||
\(457\) | −7.40923 | + | 4.76162i | −0.346589 | + | 0.222739i | −0.702340 | − | 0.711842i | \(-0.747861\pi\) |
0.355751 | + | 0.934581i | \(0.384225\pi\) | |||||||
\(458\) | −2.76431 | − | 9.41437i | −0.129168 | − | 0.439905i | ||||
\(459\) | −0.771310 | + | 0.0279017i | −0.0360017 | + | 0.00130234i | ||||
\(460\) | 9.69438 | + | 8.40023i | 0.452003 | + | 0.391663i | ||||
\(461\) | 3.07623 | − | 4.78670i | 0.143274 | − | 0.222939i | −0.762199 | − | 0.647343i | \(-0.775880\pi\) |
0.905473 | + | 0.424404i | \(0.139516\pi\) | |||||||
\(462\) | −2.23764 | − | 1.40023i | −0.104104 | − | 0.0651444i | ||||
\(463\) | −1.58652 | + | 5.40320i | −0.0737320 | + | 0.251108i | −0.988109 | − | 0.153756i | \(-0.950863\pi\) |
0.914377 | + | 0.404864i | \(0.132681\pi\) | |||||||
\(464\) | 1.98113 | + | 6.74712i | 0.0919718 | + | 0.313227i | ||||
\(465\) | 27.1612 | − | 8.33211i | 1.25957 | − | 0.386393i | ||||
\(466\) | −3.34596 | − | 7.32664i | −0.154999 | − | 0.339400i | ||||
\(467\) | 14.5294 | + | 12.5898i | 0.672341 | + | 0.582587i | 0.922678 | − | 0.385572i | \(-0.125996\pi\) |
−0.250337 | + | 0.968159i | \(0.580541\pi\) | |||||||
\(468\) | −0.383514 | − | 1.19847i | −0.0177279 | − | 0.0553993i | ||||
\(469\) | −6.65071 | − | 32.6083i | −0.307101 | − | 1.50571i | ||||
\(470\) | 17.2495i | 0.795659i | ||||||||
\(471\) | 3.14901 | − | 5.03229i | 0.145099 | − | 0.231876i | ||||
\(472\) | 8.99022 | − | 4.10569i | 0.413808 | − | 0.188980i | ||||
\(473\) | −5.43376 | + | 0.781256i | −0.249844 | + | 0.0359222i | ||||
\(474\) | −5.26983 | − | 11.1807i | −0.242051 | − | 0.513546i | ||||
\(475\) | −0.647663 | − | 0.190171i | −0.0297168 | − | 0.00872565i | ||||
\(476\) | 0.642587 | − | 0.741585i | 0.0294529 | − | 0.0339905i | ||||
\(477\) | −37.5251 | − | 10.0425i | −1.71816 | − | 0.459815i | ||||
\(478\) | −1.22296 | + | 1.41137i | −0.0559369 | + | 0.0645546i | ||||
\(479\) | 27.6038 | + | 12.6062i | 1.26125 | + | 0.575993i | 0.930003 | − | 0.367551i | \(-0.119804\pi\) |
0.331246 | + | 0.943544i | \(0.392531\pi\) | |||||||
\(480\) | −19.9867 | + | 9.42038i | −0.912263 | + | 0.429979i | ||||
\(481\) | 0.650993 | + | 1.01296i | 0.0296827 | + | 0.0461872i | ||||
\(482\) | 7.71031 | − | 4.95512i | 0.351195 | − | 0.225699i | ||||
\(483\) | −7.15479 | − | 23.3233i | −0.325554 | − | 1.06125i | ||||
\(484\) | −11.3060 | − | 13.0478i | −0.513908 | − | 0.593082i | ||||
\(485\) | −0.297346 | − | 1.01267i | −0.0135018 | − | 0.0459829i | ||||
\(486\) | −5.63643 | − | 7.70680i | −0.255674 | − | 0.349587i | ||||
\(487\) | −36.4652 | + | 5.24291i | −1.65240 | + | 0.237579i | −0.904573 | − | 0.426319i | \(-0.859810\pi\) |
−0.747824 | + | 0.663898i | \(0.768901\pi\) | |||||||
\(488\) | −13.3621 | + | 11.5783i | −0.604873 | + | 0.524125i | ||||
\(489\) | −12.5985 | − | 19.0936i | −0.569722 | − | 0.863444i | ||||
\(490\) | 12.7636 | + | 3.74775i | 0.576603 | + | 0.169306i | ||||
\(491\) | 3.37651 | + | 1.54200i | 0.152380 | + | 0.0695896i | 0.490145 | − | 0.871641i | \(-0.336944\pi\) |
−0.337765 | + | 0.941230i | \(0.609671\pi\) | |||||||
\(492\) | 13.1204 | + | 19.8847i | 0.591514 | + | 0.896470i | ||||
\(493\) | 0.0786587 | − | 0.547083i | 0.00354261 | − | 0.0246394i | ||||
\(494\) | −0.298801 | − | 0.464943i | −0.0134437 | − | 0.0209188i | ||||
\(495\) | 0.695057 | + | 4.12563i | 0.0312405 | + | 0.185433i | ||||
\(496\) | −3.83223 | + | 13.0514i | −0.172072 | + | 0.586025i | ||||
\(497\) | −41.2304 | − | 26.4972i | −1.84944 | − | 1.18856i | ||||
\(498\) | 0.420950 | + | 2.69663i | 0.0188632 | + | 0.120839i | ||||
\(499\) | − | 8.51854i | − | 0.381342i | −0.981654 | − | 0.190671i | \(-0.938934\pi\) | ||
0.981654 | − | 0.190671i | \(-0.0610664\pi\) | |||||||
\(500\) | −14.9732 | − | 9.62270i | −0.669623 | − | 0.430340i | ||||
\(501\) | 8.99052 | + | 2.52256i | 0.401667 | + | 0.112700i | ||||
\(502\) | −9.47192 | − | 10.9312i | −0.422752 | − | 0.487882i | ||||
\(503\) | 5.50288 | + | 6.35066i | 0.245361 | + | 0.283162i | 0.865050 | − | 0.501686i | \(-0.167287\pi\) |
−0.619689 | + | 0.784848i | \(0.712741\pi\) | |||||||
\(504\) | 26.8902 | + | 3.20677i | 1.19778 | + | 0.142841i | ||||
\(505\) | 33.8311 | + | 21.7420i | 1.50547 | + | 0.967504i | ||||
\(506\) | − | 1.29855i | − | 0.0577277i | ||||||
\(507\) | 22.1332 | − | 3.45504i | 0.982970 | − | 0.153444i | ||||
\(508\) | −19.3012 | − | 12.4041i | −0.856352 | − | 0.550344i | ||||
\(509\) | 1.47150 | − | 5.01147i | 0.0652231 | − | 0.222130i | −0.920432 | − | 0.390904i | \(-0.872163\pi\) |
0.985655 | + | 0.168774i | \(0.0539808\pi\) | |||||||
\(510\) | 0.359073 | − | 0.00432808i | 0.0159000 | − | 0.000191651i | ||||
\(511\) | 24.1324 | + | 37.5507i | 1.06755 | + | 1.66115i | ||||
\(512\) | 2.69977 | − | 18.7773i | 0.119314 | − | 0.829847i | ||||
\(513\) | 14.1474 | + | 11.3900i | 0.624625 | + | 0.502882i | ||||
\(514\) | −2.83886 | − | 1.29646i | −0.125217 | − | 0.0571846i | ||||
\(515\) | −3.65653 | − | 1.07365i | −0.161126 | − | 0.0473108i | ||||
\(516\) | 21.0717 | − | 13.9036i | 0.927630 | − | 0.612074i | ||||
\(517\) | −5.71563 | + | 4.95262i | −0.251373 | + | 0.217816i | ||||
\(518\) | −11.4976 | + | 1.65311i | −0.505177 | + | 0.0726335i | ||||
\(519\) | 24.2481 | − | 0.292274i | 1.06437 | − | 0.0128294i | ||||
\(520\) | 0.367972 | + | 1.25320i | 0.0161366 | + | 0.0549563i | ||||
\(521\) | −1.16509 | − | 1.34458i | −0.0510435 | − | 0.0589073i | 0.729654 | − | 0.683817i | \(-0.239681\pi\) |
−0.780697 | + | 0.624910i | \(0.785136\pi\) | |||||||
\(522\) | 6.14931 | − | 2.98948i | 0.269148 | − | 0.130846i | ||||
\(523\) | 28.0997 | − | 18.0586i | 1.22871 | − | 0.789646i | 0.245023 | − | 0.969517i | \(-0.421205\pi\) |
0.983690 | + | 0.179871i | \(0.0575682\pi\) | |||||||
\(524\) | −8.63331 | − | 13.4337i | −0.377148 | − | 0.586853i | ||||
\(525\) | −0.579797 | − | 1.23012i | −0.0253044 | − | 0.0536870i | ||||
\(526\) | 13.2876 | + | 6.06824i | 0.579366 | + | 0.264588i | ||||
\(527\) | 0.700138 | − | 0.808002i | 0.0304985 | − | 0.0351971i | ||||
\(528\) | −1.83199 | − | 0.810101i | −0.0797272 | − | 0.0352551i | ||||
\(529\) | −7.20248 | + | 8.31211i | −0.313151 | + | 0.361396i | ||||
\(530\) | 17.3415 | + | 5.09191i | 0.753265 | + | 0.221178i | ||||
\(531\) | 7.48869 | + | 11.0572i | 0.324981 | + | 0.479843i | ||||
\(532\) | −22.8563 | + | 3.28625i | −0.990948 | + | 0.142477i | ||||
\(533\) | 1.98775 | − | 0.907773i | 0.0860988 | − | 0.0393200i | ||||
\(534\) | 5.17813 | + | 3.24027i | 0.224080 | + | 0.140220i | ||||
\(535\) | − | 21.9054i | − | 0.947054i | ||||||
\(536\) | 6.12901 | + | 17.1086i | 0.264733 | + | 0.738981i | ||||
\(537\) | −23.8450 | + | 3.72226i | −1.02899 | + | 0.160627i | ||||
\(538\) | −9.02979 | − | 7.82435i | −0.389302 | − | 0.337332i | ||||
\(539\) | 2.42284 | + | 5.30529i | 0.104359 | + | 0.228515i | ||||
\(540\) | −10.9803 | − | 15.7991i | −0.472516 | − | 0.679887i | ||||
\(541\) | 1.93783 | + | 6.59963i | 0.0833137 | + | 0.283740i | 0.990603 | − | 0.136766i | \(-0.0436707\pi\) |
−0.907290 | + | 0.420506i | \(0.861853\pi\) | |||||||
\(542\) | 1.13069 | − | 3.85079i | 0.0485675 | − | 0.165406i | ||||
\(543\) | −10.7694 | + | 17.2101i | −0.462159 | + | 0.738556i | ||||
\(544\) | −0.449541 | + | 0.699499i | −0.0192739 | + | 0.0299908i | ||||
\(545\) | 18.1364 | + | 15.7153i | 0.776877 | + | 0.673168i | ||||
\(546\) | 0.300800 | − | 1.07207i | 0.0128731 | − | 0.0458802i | ||||
\(547\) | −1.69568 | − | 5.77496i | −0.0725021 | − | 0.246920i | 0.915266 | − | 0.402850i | \(-0.131981\pi\) |
−0.987768 | + | 0.155931i | \(0.950162\pi\) | |||||||
\(548\) | −11.1330 | + | 7.15472i | −0.475576 | + | 0.305634i | ||||
\(549\) | −18.4269 | − | 15.2050i | −0.786439 | − | 0.648935i | ||||
\(550\) | −0.0103015 | − | 0.0716486i | −0.000439258 | − | 0.00305511i | ||||
\(551\) | −9.82972 | + | 8.51750i | −0.418760 | + | 0.362858i | ||||
\(552\) | 5.67990 | + | 12.0507i | 0.241752 | + | 0.512913i | ||||
\(553\) | −6.74146 | + | 46.8879i | −0.286676 | + | 1.99388i | ||||
\(554\) | −1.90355 | − | 13.2395i | −0.0808741 | − | 0.562492i | ||||
\(555\) | 14.0584 | + | 11.8880i | 0.596744 | + | 0.504619i | ||||
\(556\) | −25.8977 | + | 11.8271i | −1.09831 | + | 0.501581i | ||||
\(557\) | 3.65792 | − | 12.4577i | 0.154991 | − | 0.527851i | −0.844985 | − | 0.534790i | \(-0.820391\pi\) |
0.999976 | + | 0.00693939i | \(0.00220889\pi\) | |||||||
\(558\) | 13.1331 | + | 1.56618i | 0.555968 | + | 0.0663017i | ||||
\(559\) | −0.961963 | − | 2.10641i | −0.0406867 | − | 0.0890915i | ||||
\(560\) | 17.3310 | + | 2.49182i | 0.732368 | + | 0.105299i | ||||
\(561\) | 0.104530 | + | 0.117737i | 0.00441327 | + | 0.00497084i | ||||
\(562\) | 0.0997967 | − | 0.694101i | 0.00420967 | − | 0.0292789i | ||||
\(563\) | 38.3912 | + | 11.2727i | 1.61799 | + | 0.475086i | 0.960478 | − | 0.278354i | \(-0.0897890\pi\) |
0.657516 | + | 0.753441i | \(0.271607\pi\) | |||||||
\(564\) | 14.0656 | − | 31.8084i | 0.592269 | − | 1.33938i | ||||
\(565\) | 21.2838 | 0.895417 | ||||||||
\(566\) | 7.32064 | 0.307709 | ||||||||
\(567\) | 1.76347 | + | 36.5493i | 0.0740586 | + | 1.53493i | ||||
\(568\) | 24.3452 | + | 11.1181i | 1.02150 | + | 0.466504i | ||||
\(569\) | 20.8987 | − | 18.1088i | 0.876119 | − | 0.759161i | −0.0955709 | − | 0.995423i | \(-0.530468\pi\) |
0.971690 | + | 0.236262i | \(0.0759222\pi\) | |||||||
\(570\) | −6.45268 | − | 5.45651i | −0.270273 | − | 0.228548i | ||||
\(571\) | −7.13529 | + | 15.6241i | −0.298603 | + | 0.653849i | −0.998154 | − | 0.0607336i | \(-0.980656\pi\) |
0.699551 | + | 0.714582i | \(0.253383\pi\) | |||||||
\(572\) | −0.138777 | + | 0.215941i | −0.00580256 | + | 0.00902897i | ||||
\(573\) | −37.2031 | + | 5.80749i | −1.55418 | + | 0.242611i | ||||
\(574\) | 21.0804i | 0.879880i | ||||||||
\(575\) | 0.361690 | − | 0.562800i | 0.0150835 | − | 0.0234704i | ||||
\(576\) | 1.05208 | − | 0.0253661i | 0.0438365 | − | 0.00105692i | ||||
\(577\) | 14.7217 | + | 2.11666i | 0.612872 | + | 0.0881177i | 0.441759 | − | 0.897134i | \(-0.354355\pi\) |
0.171113 | + | 0.985251i | \(0.445264\pi\) | |||||||
\(578\) | −8.74824 | + | 5.62215i | −0.363879 | + | 0.233851i | ||||
\(579\) | −0.0632134 | − | 5.24441i | −0.00262706 | − | 0.217950i | ||||
\(580\) | 12.5330 | − | 5.72363i | 0.520405 | − | 0.237661i | ||||
\(581\) | 4.34513 | − | 9.51452i | 0.180267 | − | 0.394729i | ||||
\(582\) | 0.0640580 | − | 0.487145i | 0.00265529 | − | 0.0201928i | ||||
\(583\) | 3.29182 | + | 7.20808i | 0.136333 | + | 0.298528i | ||||
\(584\) | −15.9623 | − | 18.4215i | −0.660526 | − | 0.762288i | ||||
\(585\) | −1.58720 | + | 0.771615i | −0.0656227 | + | 0.0319023i | ||||
\(586\) | 8.65433 | + | 1.24430i | 0.357507 | + | 0.0514018i | ||||
\(587\) | 38.1587 | − | 11.2044i | 1.57498 | − | 0.462455i | 0.626533 | − | 0.779395i | \(-0.284473\pi\) |
0.948446 | + | 0.316939i | \(0.102655\pi\) | |||||||
\(588\) | −20.4805 | − | 17.3187i | −0.844601 | − | 0.714211i | ||||
\(589\) | −24.9034 | + | 3.58057i | −1.02613 | + | 0.147535i | ||||
\(590\) | −3.35922 | − | 5.22705i | −0.138297 | − | 0.215194i | ||||
\(591\) | 11.4321 | − | 10.1498i | 0.470253 | − | 0.417506i | ||||
\(592\) | −8.45775 | + | 2.48342i | −0.347611 | + | 0.102068i | ||||
\(593\) | −13.4284 | + | 29.4042i | −0.551440 | + | 1.20748i | 0.404667 | + | 0.914464i | \(0.367388\pi\) |
−0.956106 | + | 0.293020i | \(0.905340\pi\) | |||||||
\(594\) | −0.480815 | + | 1.88743i | −0.0197281 | + | 0.0774420i | ||||
\(595\) | −1.15775 | − | 0.744038i | −0.0474630 | − | 0.0305026i | ||||
\(596\) | 0.130893 | + | 0.113420i | 0.00536159 | + | 0.00464585i | ||||
\(597\) | 43.9188 | + | 5.77519i | 1.79748 | + | 0.236363i | ||||
\(598\) | 0.525574 | − | 0.154323i | 0.0214923 | − | 0.00631072i | ||||
\(599\) | 2.79016 | + | 19.4060i | 0.114003 | + | 0.792908i | 0.963958 | + | 0.266053i | \(0.0857198\pi\) |
−0.849955 | + | 0.526855i | \(0.823371\pi\) | |||||||
\(600\) | 0.408992 | + | 0.619849i | 0.0166970 | + | 0.0253052i | ||||
\(601\) | 14.6254 | − | 16.8786i | 0.596581 | − | 0.688491i | −0.374504 | − | 0.927225i | \(-0.622187\pi\) |
0.971085 | + | 0.238734i | \(0.0767325\pi\) | |||||||
\(602\) | 22.3388 | 0.910463 | ||||||||
\(603\) | −21.4203 | + | 12.0071i | −0.872303 | + | 0.488965i | ||||
\(604\) | 0.582782 | 0.0237131 | ||||||||
\(605\) | −15.8567 | + | 18.2996i | −0.644665 | + | 0.743983i | ||||
\(606\) | 10.3108 | + | 15.6266i | 0.418848 | + | 0.634786i | ||||
\(607\) | 0.429283 | + | 2.98573i | 0.0174241 | + | 0.121187i | 0.996677 | − | 0.0814544i | \(-0.0259565\pi\) |
−0.979253 | + | 0.202641i | \(0.935047\pi\) | |||||||
\(608\) | 18.7745 | − | 5.51270i | 0.761408 | − | 0.223569i | ||||
\(609\) | −25.9803 | − | 3.41633i | −1.05278 | − | 0.138437i | ||||
\(610\) | 8.40038 | + | 7.27897i | 0.340122 | + | 0.294717i | ||||
\(611\) | −2.68377 | − | 1.72476i | −0.108574 | − | 0.0697762i | ||||
\(612\) | −0.665669 | − | 0.284815i | −0.0269081 | − | 0.0115130i | ||||
\(613\) | −2.57020 | + | 5.62795i | −0.103809 | + | 0.227311i | −0.954408 | − | 0.298504i | \(-0.903512\pi\) |
0.850599 | + | 0.525815i | \(0.176240\pi\) | |||||||
\(614\) | −3.27978 | + | 0.963029i | −0.132361 | + | 0.0388647i | ||||
\(615\) | 24.9856 | − | 22.1830i | 1.00752 | − | 0.894506i | ||||
\(616\) | −2.98663 | − | 4.64728i | −0.120335 | − | 0.187244i | ||||
\(617\) | −37.1846 | + | 5.34633i | −1.49699 | + | 0.215235i | −0.841620 | − | 0.540069i | \(-0.818398\pi\) |
−0.655374 | + | 0.755305i | \(0.727489\pi\) | |||||||
\(618\) | −1.35469 | − | 1.14556i | −0.0544938 | − | 0.0460810i | ||||
\(619\) | 10.1858 | − | 2.99081i | 0.409400 | − | 0.120211i | −0.0705463 | − | 0.997509i | \(-0.522474\pi\) |
0.479946 | + | 0.877298i | \(0.340656\pi\) | |||||||
\(620\) | 26.3806 | + | 3.79296i | 1.05947 | + | 0.152329i | ||||
\(621\) | −14.7818 | + | 10.2732i | −0.593173 | + | 0.412251i | ||||
\(622\) | −10.6525 | − | 12.2936i | −0.427126 | − | 0.492930i | ||||
\(623\) | −9.72480 | − | 21.2944i | −0.389616 | − | 0.853140i | ||||
\(624\) | 0.110162 | − | 0.837751i | 0.00441000 | − | 0.0335369i | ||||
\(625\) | −10.7710 | + | 23.5852i | −0.430840 | + | 0.943407i | ||||
\(626\) | 1.56771 | − | 0.715951i | 0.0626585 | − | 0.0286152i | ||||
\(627\) | −0.0446552 | − | 3.70476i | −0.00178336 | − | 0.147954i | ||||
\(628\) | 4.68485 | − | 3.01077i | 0.186946 | − | 0.120143i | ||||
\(629\) | 0.685787 | + | 0.0986013i | 0.0273441 | + | 0.00393149i | ||||
\(630\) | −0.410360 | − | 17.0200i | −0.0163491 | − | 0.678092i | ||||
\(631\) | −2.33059 | + | 3.62646i | −0.0927792 | + | 0.144367i | −0.884541 | − | 0.466463i | \(-0.845528\pi\) |
0.791761 | + | 0.610831i | \(0.209164\pi\) | |||||||
\(632\) | − | 25.8678i | − | 1.02897i | ||||||
\(633\) | −8.66586 | + | 1.35276i | −0.344437 | + | 0.0537674i | ||||
\(634\) | −8.95761 | + | 13.9383i | −0.355752 | + | 0.553561i | ||||
\(635\) | −13.3673 | + | 29.2702i | −0.530464 | + | 1.16155i | ||||
\(636\) | −27.8260 | − | 23.5302i | −1.10337 | − | 0.933034i | ||||
\(637\) | −1.85932 | + | 1.61111i | −0.0736690 | + | 0.0638345i | ||||
\(638\) | −1.26874 | − | 0.579414i | −0.0502299 | − | 0.0229392i | ||||
\(639\) | −9.34913 | + | 34.9341i | −0.369846 | + | 1.38197i | ||||
\(640\) | −26.0033 | −1.02787 | ||||||||
\(641\) | −25.6482 | −1.01304 | −0.506521 | − | 0.862228i | \(-0.669069\pi\) | ||||
−0.506521 | + | 0.862228i | \(0.669069\pi\) | |||||||
\(642\) | 4.12421 | − | 9.32664i | 0.162770 | − | 0.368093i | ||||
\(643\) | 3.21259 | + | 0.943303i | 0.126692 | + | 0.0372002i | 0.344464 | − | 0.938800i | \(-0.388061\pi\) |
−0.217772 | + | 0.976000i | \(0.569879\pi\) | |||||||
\(644\) | 3.25702 | − | 22.6530i | 0.128344 | − | 0.892655i | ||||
\(645\) | −23.5073 | − | 26.4772i | −0.925597 | − | 1.04254i | ||||
\(646\) | −0.314771 | − | 0.0452572i | −0.0123845 | − | 0.00178062i | ||||
\(647\) | 12.3558 | + | 27.0555i | 0.485758 | + | 1.06366i | 0.980840 | + | 0.194815i | \(0.0624106\pi\) |
−0.495082 | + | 0.868846i | \(0.664862\pi\) | |||||||
\(648\) | −3.79363 | − | 19.6186i | −0.149028 | − | 0.770693i | ||||
\(649\) | 0.767497 | − | 2.61386i | 0.0301269 | − | 0.102603i | ||||
\(650\) | 0.0277747 | − | 0.0126843i | 0.00108941 | − | 0.000497519i | ||||
\(651\) | −38.7048 | − | 32.7295i | −1.51696 | − | 1.28277i | ||||
\(652\) | −3.05401 | − | 21.2411i | −0.119604 | − | 0.831866i | ||||
\(653\) | −1.48591 | + | 10.3347i | −0.0581481 | + | 0.404429i | 0.939872 | + | 0.341528i | \(0.110944\pi\) |
−0.998020 | + | 0.0629011i | \(0.979965\pi\) | |||||||
\(654\) | 4.76314 | + | 10.1057i | 0.186253 | + | 0.395163i | ||||
\(655\) | −16.9258 | + | 14.6663i | −0.661347 | + | 0.573060i | ||||
\(656\) | 2.27662 | + | 15.8343i | 0.0888871 | + | 0.618224i | ||||
\(657\) | 20.9623 | − | 25.4040i | 0.817816 | − | 0.991106i | ||||
\(658\) | 25.8899 | − | 16.6384i | 1.00929 | − | 0.648633i | ||||
\(659\) | 0.757645 | + | 2.58030i | 0.0295136 | + | 0.100514i | 0.972933 | − | 0.231089i | \(-0.0742288\pi\) |
−0.943419 | + | 0.331603i | \(0.892411\pi\) | |||||||
\(660\) | −1.06028 | + | 3.77887i | −0.0412712 | + | 0.147092i | ||||
\(661\) | −7.22000 | − | 6.25617i | −0.280826 | − | 0.243337i | 0.503046 | − | 0.864260i | \(-0.332213\pi\) |
−0.783872 | + | 0.620923i | \(0.786758\pi\) | |||||||
\(662\) | −2.93902 | + | 4.57320i | −0.114228 | + | 0.177742i | ||||
\(663\) | −0.0352300 | + | 0.0562995i | −0.00136822 | + | 0.00218649i | ||||
\(664\) | −1.60921 | + | 5.48048i | −0.0624496 | + | 0.212684i | ||||
\(665\) | 9.12411 | + | 31.0739i | 0.353818 | + | 1.20499i | ||||
\(666\) | 3.74741 | + | 7.70837i | 0.145209 | + | 0.298693i | ||||
\(667\) | −5.35507 | − | 11.7260i | −0.207349 | − | 0.454032i | ||||
\(668\) | 6.62015 | + | 5.73639i | 0.256141 | + | 0.221948i | ||||
\(669\) | 21.0081 | − | 3.27941i | 0.812219 | − | 0.126789i | ||||
\(670\) | 10.0979 | − | 5.34463i | 0.390116 | − | 0.206481i | ||||
\(671\) | 4.87339i | 0.188135i | ||||||||
\(672\) | 33.4178 | + | 20.9115i | 1.28912 | + | 0.806680i | ||||
\(673\) | −4.17783 | + | 1.90795i | −0.161043 | + | 0.0735460i | −0.494306 | − | 0.869288i | \(-0.664578\pi\) |
0.333263 | + | 0.942834i | \(0.391850\pi\) | |||||||
\(674\) | −10.2168 | + | 1.46895i | −0.393535 | + | 0.0565817i | ||||
\(675\) | −0.734098 | + | 0.684099i | −0.0282555 | + | 0.0263310i | ||||
\(676\) | 20.1634 | + | 5.92051i | 0.775515 | + | 0.227712i | ||||
\(677\) | 20.9603 | − | 24.1894i | 0.805568 | − | 0.929675i | −0.193105 | − | 0.981178i | \(-0.561856\pi\) |
0.998673 | + | 0.0515030i | \(0.0164012\pi\) | |||||||
\(678\) | 9.06199 | + | 4.00718i | 0.348023 | + | 0.153895i | ||||
\(679\) | −1.23311 | + | 1.42308i | −0.0473224 | + | 0.0546130i | ||||
\(680\) | 0.683610 | + | 0.312194i | 0.0262152 | + | 0.0119721i | ||||
\(681\) | −11.5779 | − | 24.5642i | −0.443666 | − | 0.941300i | ||||
\(682\) | −1.45866 | − | 2.26972i | −0.0558550 | − | 0.0869120i | ||||
\(683\) | −9.86709 | + | 6.34119i | −0.377554 | + | 0.242639i | −0.715630 | − | 0.698480i | \(-0.753860\pi\) |
0.338076 | + | 0.941119i | \(0.390224\pi\) | |||||||
\(684\) | 7.44954 | + | 15.3236i | 0.284840 | + | 0.585912i | ||||
\(685\) | 12.1545 | + | 14.0270i | 0.464398 | + | 0.535944i | ||||
\(686\) | −1.77531 | − | 6.04615i | −0.0677816 | − | 0.230843i | ||||
\(687\) | 27.7440 | − | 0.334412i | 1.05850 | − | 0.0127586i | ||||
\(688\) | 16.7795 | − | 2.41253i | 0.639712 | − | 0.0919767i | ||||
\(689\) | −2.52618 | + | 2.18895i | −0.0962399 | + | 0.0833924i | ||||
\(690\) | 6.99068 | − | 4.61263i | 0.266130 | − | 0.175600i | ||||
\(691\) | 27.0629 | + | 7.94639i | 1.02952 | + | 0.302295i | 0.752517 | − | 0.658573i | \(-0.228840\pi\) |
0.277006 | + | 0.960868i | \(0.410658\pi\) | |||||||
\(692\) | 20.6930 | + | 9.45020i | 0.786631 | + | 0.359243i | ||||
\(693\) | 5.52177 | − | 5.02270i | 0.209755 | − | 0.190797i | ||||
\(694\) | 1.32962 | − | 9.24771i | 0.0504717 | − | 0.351038i | ||||
\(695\) | 21.5878 | + | 33.5913i | 0.818872 | + | 1.27419i | ||||
\(696\) | 14.3084 | − | 0.172466i | 0.542360 | − | 0.00653732i | ||||
\(697\) | 0.354240 | − | 1.20643i | 0.0134178 | − | 0.0456968i | ||||
\(698\) | −7.49997 | − | 4.81994i | −0.283878 | − | 0.182437i | ||||
\(699\) | 22.5042 | − | 3.51295i | 0.851185 | − | 0.132872i | ||||
\(700\) | − | 1.27574i | − | 0.0482183i | ||||||
\(701\) | −6.21937 | − | 3.99695i | −0.234903 | − | 0.150963i | 0.417894 | − | 0.908496i | \(-0.362768\pi\) |
−0.652797 | + | 0.757533i | \(0.726405\pi\) | |||||||
\(702\) | −0.821055 | + | 0.0297012i | −0.0309887 | + | 0.00112100i | ||||
\(703\) | −10.6770 | − | 12.3219i | −0.402690 | − | 0.464729i | ||||
\(704\) | −0.140584 | − | 0.162242i | −0.00529844 | − | 0.00611473i | ||||
\(705\) | −46.9648 | − | 13.1774i | −1.76880 | − | 0.496289i | ||||
\(706\) | −4.20888 | − | 2.70488i | −0.158403 | − | 0.101800i | ||||
\(707\) | − | 71.7493i | − | 2.69841i | ||||||
\(708\) | 1.93223 | + | 12.3780i | 0.0726177 | + | 0.465193i | ||||
\(709\) | 41.0686 | + | 26.3932i | 1.54236 | + | 0.991216i | 0.987202 | + | 0.159473i | \(0.0509795\pi\) |
0.555160 | + | 0.831743i | \(0.312657\pi\) | |||||||
\(710\) | 4.74034 | − | 16.1441i | 0.177902 | − | 0.605877i | ||||
\(711\) | 34.4672 | − | 5.80679i | 1.29262 | − | 0.217772i | ||||
\(712\) | 6.91136 | + | 10.7543i | 0.259014 | + | 0.403034i | ||||
\(713\) | 3.54872 | − | 24.6819i | 0.132901 | − | 0.924344i | ||||
\(714\) | −0.352849 | − | 0.534761i | −0.0132051 | − | 0.0200129i | ||||
\(715\) | 0.327475 | + | 0.149553i | 0.0122469 | + | 0.00559296i | ||||
\(716\) | −21.7228 | − | 6.37840i | −0.811821 | − | 0.238372i | ||||
\(717\) | −2.90845 | − | 4.40791i | −0.108618 | − | 0.164617i | ||||
\(718\) | 12.0586 | − | 10.4489i | 0.450024 | − | 0.389948i | ||||
\(719\) | −12.3761 | + | 1.77941i | −0.461550 | + | 0.0663608i | −0.369168 | − | 0.929363i | \(-0.620357\pi\) |
−0.0923821 | + | 0.995724i | \(0.529448\pi\) | |||||||
\(720\) | −2.14634 | − | 12.7400i | −0.0799894 | − | 0.474791i | ||||
\(721\) | 1.91554 | + | 6.52373i | 0.0713385 | + | 0.242957i | ||||
\(722\) | −2.72034 | − | 3.13944i | −0.101241 | − | 0.116838i | ||||
\(723\) | 7.60106 | + | 24.7781i | 0.282686 | + | 0.921506i | ||||
\(724\) | −16.0219 | + | 10.2966i | −0.595448 | + | 0.382671i | ||||
\(725\) | −0.388493 | − | 0.604508i | −0.0144283 | − | 0.0224508i | ||||
\(726\) | −10.1966 | + | 4.80599i | −0.378431 | + | 0.178367i | ||||
\(727\) | 0.0463199 | + | 0.0211536i | 0.00171791 | + | 0.000784544i | 0.416274 | − | 0.909239i | \(-0.363336\pi\) |
−0.414556 | + | 0.910024i | \(0.636063\pi\) | |||||||
\(728\) | 1.52600 | − | 1.76109i | 0.0565572 | − | 0.0652705i | ||||
\(729\) | 25.2890 | − | 9.45874i | 0.936629 | − | 0.350324i | ||||
\(730\) | −10.0351 | + | 11.5811i | −0.371416 | + | 0.428636i | ||||
\(731\) | −1.27845 | − | 0.375386i | −0.0472851 | − | 0.0138842i | ||||
\(732\) | −9.55508 | − | 20.2725i | −0.353166 | − | 0.749292i | ||||
\(733\) | −31.5825 | + | 4.54088i | −1.16653 | + | 0.167721i | −0.698246 | − | 0.715858i | \(-0.746036\pi\) |
−0.468282 | + | 0.883579i | \(0.655127\pi\) | |||||||
\(734\) | −19.3271 | + | 8.82638i | −0.713375 | + | 0.325788i | ||||
\(735\) | −19.9544 | + | 31.8883i | −0.736030 | + | 1.17622i | ||||
\(736\) | 19.3931i | 0.714839i | ||||||||
\(737\) | 4.67023 | + | 1.81142i | 0.172030 | + | 0.0667244i | ||||
\(738\) | 14.8146 | − | 4.74070i | 0.545332 | − | 0.174508i | ||||
\(739\) | −15.3626 | − | 13.3118i | −0.565124 | − | 0.489683i | 0.324805 | − | 0.945781i | \(-0.394701\pi\) |
−0.889930 | + | 0.456098i | \(0.849247\pi\) | |||||||
\(740\) | 7.17477 | + | 15.7106i | 0.263750 | + | 0.577531i | ||||
\(741\) | 1.49415 | − | 0.458355i | 0.0548891 | − | 0.0168381i | ||||
\(742\) | −9.08465 | − | 30.9395i | −0.333508 | − | 1.13582i | ||||
\(743\) | −9.32426 | + | 31.7555i | −0.342074 | + | 1.16500i | 0.591408 | + | 0.806372i | \(0.298572\pi\) |
−0.933482 | + | 0.358624i | \(0.883246\pi\) | |||||||
\(744\) | 23.4643 | + | 14.6830i | 0.860244 | + | 0.538306i | ||||
\(745\) | 0.131326 | − | 0.204348i | 0.00481142 | − | 0.00748671i | ||||
\(746\) | 10.7530 | + | 9.31752i | 0.393695 | + | 0.341139i | ||||
\(747\) | −7.66363 | − | 0.913921i | −0.280397 | − | 0.0334386i | ||||
\(748\) | 0.0416113 | + | 0.141715i | 0.00152146 | + | 0.00518162i | ||||
\(749\) | −32.8781 | + | 21.1294i | −1.20134 | + | 0.772053i | ||||
\(750\) | −8.69028 | + | 7.71550i | −0.317324 | + | 0.281730i | ||||
\(751\) | −2.75194 | − | 19.1402i | −0.100420 | − | 0.698434i | −0.976381 | − | 0.216054i | \(-0.930681\pi\) |
0.875962 | − | 0.482380i | \(-0.160228\pi\) | |||||||
\(752\) | 17.6499 | − | 15.2937i | 0.643626 | − | 0.557705i | ||||
\(753\) | 36.9980 | − | 17.4383i | 1.34828 | − | 0.635489i | ||||
\(754\) | 0.0837317 | − | 0.582367i | 0.00304933 | − | 0.0212086i | ||||
\(755\) | −0.116321 | − | 0.809033i | −0.00423337 | − | 0.0294437i | ||||
\(756\) | −13.1218 | + | 31.7199i | −0.477234 | + | 1.15364i | ||||
\(757\) | −1.43782 | + | 0.656629i | −0.0522584 | + | 0.0238656i | −0.441373 | − | 0.897324i | \(-0.645508\pi\) |
0.389114 | + | 0.921189i | \(0.372781\pi\) | |||||||
\(758\) | 0.737134 | − | 2.51045i | 0.0267739 | − | 0.0911836i | ||||
\(759\) | 3.53554 | + | 0.992002i | 0.128332 | + | 0.0360074i | ||||
\(760\) | −7.34669 | − | 16.0870i | −0.266492 | − | 0.583537i | ||||
\(761\) | −34.9551 | − | 5.02578i | −1.26712 | − | 0.182184i | −0.524218 | − | 0.851584i | \(-0.675642\pi\) |
−0.742902 | + | 0.669400i | \(0.766551\pi\) | |||||||
\(762\) | −11.2022 | + | 9.94565i | −0.405812 | + | 0.360293i | ||||
\(763\) | 6.09327 | − | 42.3796i | 0.220591 | − | 1.53425i | ||||
\(764\) | −33.8921 | − | 9.95163i | −1.22617 | − | 0.360037i | ||||
\(765\) | −0.262522 | + | 0.980947i | −0.00949152 | + | 0.0354662i | ||||
\(766\) | −0.322741 | −0.0116611 | ||||||||
\(767\) | 1.14914 | 0.0414930 | ||||||||
\(768\) | −9.96002 | − | 4.40429i | −0.359401 | − | 0.158926i | ||||
\(769\) | −36.8777 | − | 16.8415i | −1.32984 | − | 0.607320i | −0.381443 | − | 0.924392i | \(-0.624573\pi\) |
−0.948401 | + | 0.317073i | \(0.897300\pi\) | |||||||
\(770\) | −2.62467 | + | 2.27429i | −0.0945866 | + | 0.0819597i | ||||
\(771\) | 5.69855 | − | 6.73890i | 0.205228 | − | 0.242696i | ||||
\(772\) | 2.04390 | − | 4.47552i | 0.0735616 | − | 0.161077i | ||||
\(773\) | −11.2109 | + | 17.4445i | −0.403228 | + | 0.627436i | −0.982184 | − | 0.187924i | \(-0.939824\pi\) |
0.578955 | + | 0.815359i | \(0.303461\pi\) | |||||||
\(774\) | −5.02370 | − | 15.6989i | −0.180573 | − | 0.564287i | ||||
\(775\) | − | 1.38999i | − | 0.0499301i | ||||||
\(776\) | 0.555927 | − | 0.865039i | 0.0199566 | − | 0.0310531i | ||||
\(777\) | 4.28249 | − | 32.5672i | 0.153634 | − | 1.16834i | ||||
\(778\) | −22.1055 | − | 3.17830i | −0.792522 | − | 0.113947i | ||||
\(779\) | −24.8917 | + | 15.9969i | −0.891837 | + | 0.573149i | ||||
\(780\) | −1.65546 | + | 0.0199541i | −0.0592750 | + | 0.000714471i | ||||
\(781\) | 6.71040 | − | 3.06454i | 0.240117 | − | 0.109658i | ||||
\(782\) | 0.130930 | − | 0.286697i | 0.00468206 | − | 0.0102523i | ||||
\(783\) | 3.44174 | + | 19.0263i | 0.122998 | + | 0.679946i | ||||
\(784\) | −7.48176 | − | 16.3828i | −0.267206 | − | 0.585099i | ||||
\(785\) | −5.11472 | − | 5.90270i | −0.182552 | − | 0.210676i | ||||
\(786\) | −9.96777 | + | 3.05777i | −0.355538 | + | 0.109067i | ||||
\(787\) | −29.7718 | − | 4.28054i | −1.06125 | − | 0.152585i | −0.410488 | − | 0.911866i | \(-0.634642\pi\) |
−0.650763 | + | 0.759281i | \(0.725551\pi\) | |||||||
\(788\) | 13.7604 | − | 4.04042i | 0.490194 | − | 0.143934i | ||||
\(789\) | −26.6726 | + | 31.5421i | −0.949571 | + | 1.12293i | ||||
\(790\) | −16.0969 | + | 2.31438i | −0.572702 | + | 0.0823421i | ||||
\(791\) | −20.5299 | − | 31.9451i | −0.729958 | − | 1.13584i | ||||
\(792\) | −2.59429 | + | 3.14400i | −0.0921842 | + | 0.111717i | ||||
\(793\) | −1.97245 | + | 0.579164i | −0.0700438 | + | 0.0205667i | ||||
\(794\) | −0.207406 | + | 0.454155i | −0.00736055 | + | 0.0161174i | ||||
\(795\) | −27.1113 | + | 43.3254i | −0.961538 | + | 1.53659i | ||||
\(796\) | 34.9583 | + | 22.4663i | 1.23906 | + | 0.796298i | ||||
\(797\) | 26.0247 | + | 22.5505i | 0.921843 | + | 0.798781i | 0.979891 | − | 0.199532i | \(-0.0639423\pi\) |
−0.0580484 | + | 0.998314i | \(0.518488\pi\) | |||||||
\(798\) | −1.96563 | + | 14.9481i | −0.0695825 | + | 0.529157i | ||||
\(799\) | −1.76127 | + | 0.517156i | −0.0623093 | + | 0.0182957i | ||||
\(800\) | 0.153847 | + | 1.07003i | 0.00543931 | + | 0.0378312i | ||||
\(801\) | −12.7779 | + | 11.6231i | −0.451486 | + | 0.410681i | ||||
\(802\) | −3.64160 | + | 4.20263i | −0.128589 | + | 0.148400i | ||||
\(803\) | −6.71867 | −0.237097 | ||||||||
\(804\) | −22.9789 | + | 1.62157i | −0.810404 | + | 0.0571884i | ||||
\(805\) | −32.0976 | −1.13129 | ||||||||
\(806\) | 0.745293 | − | 0.860114i | 0.0262518 | − | 0.0302962i | ||||
\(807\) | 28.2013 | − | 18.6080i | 0.992734 | − | 0.655031i | ||||
\(808\) | 5.57601 | + | 38.7820i | 0.196163 | + | 1.36435i | ||||
\(809\) | 1.91186 | − | 0.561373i | 0.0672174 | − | 0.0197368i | −0.247951 | − | 0.968773i | \(-0.579757\pi\) |
0.315168 | + | 0.949036i | \(0.397939\pi\) | |||||||
\(810\) | −11.8688 | + | 4.11595i | −0.417026 | + | 0.144620i | ||||
\(811\) | −14.8246 | − | 12.8456i | −0.520563 | − | 0.451070i | 0.354516 | − | 0.935050i | \(-0.384645\pi\) |
−0.875079 | + | 0.483979i | \(0.839191\pi\) | |||||||
\(812\) | −20.6797 | − | 13.2900i | −0.725715 | − | 0.466389i | ||||
\(813\) | 9.62070 | + | 6.02025i | 0.337413 | + | 0.211139i | ||||
\(814\) | 0.726316 | − | 1.59041i | 0.0254573 | − | 0.0557438i | ||||
\(815\) | −28.8779 | + | 8.47931i | −1.01155 | + | 0.297017i | ||||
\(816\) | −0.322790 | − | 0.363571i | −0.0112999 | − | 0.0127275i | ||||
\(817\) | 16.9519 | + | 26.3776i | 0.593070 | + | 0.922835i | ||||
\(818\) | −2.36135 | + | 0.339511i | −0.0825627 | + | 0.0118707i | ||||
\(819\) | 2.68910 | + | 1.63796i | 0.0939648 | + | 0.0572351i | ||||
\(820\) | 30.0743 | − | 8.83061i | 1.05024 | − | 0.308378i | ||||
\(821\) | −5.65692 | − | 0.813343i | −0.197428 | − | 0.0283859i | 0.0428913 | − | 0.999080i | \(-0.486343\pi\) |
−0.240319 | + | 0.970694i | \(0.577252\pi\) | |||||||
\(822\) | 2.53408 | + | 8.26063i | 0.0883861 | + | 0.288122i | ||||
\(823\) | −32.2502 | − | 37.2188i | −1.12417 | − | 1.29736i | −0.949861 | − | 0.312674i | \(-0.898775\pi\) |
−0.174312 | − | 0.984690i | \(-0.555770\pi\) | |||||||
\(824\) | −1.54238 | − | 3.37735i | −0.0537315 | − | 0.117656i | ||||
\(825\) | 0.202946 | + | 0.0266868i | 0.00706567 | + | 0.000929114i | ||||
\(826\) | −4.60510 | + | 10.0838i | −0.160232 | + | 0.350859i | ||||
\(827\) | 0.0155306 | − | 0.00709261i | 0.000540053 | − | 0.000246634i | −0.415145 | − | 0.909755i | \(-0.636269\pi\) |
0.415685 | + | 0.909509i | \(0.363542\pi\) | |||||||
\(828\) | −16.6522 | + | 2.80544i | −0.578704 | + | 0.0974959i | ||||
\(829\) | 21.5955 | − | 13.8786i | 0.750044 | − | 0.482024i | −0.108926 | − | 0.994050i | \(-0.534741\pi\) |
0.858970 | + | 0.512026i | \(0.171105\pi\) | |||||||
\(830\) | 3.55434 | + | 0.511037i | 0.123373 | + | 0.0177383i | ||||
\(831\) | 37.5011 | + | 4.93127i | 1.30090 | + | 0.171064i | ||||
\(832\) | 0.0489584 | − | 0.0761807i | 0.00169733 | − | 0.00264109i | ||||
\(833\) | 1.41560i | 0.0490478i | ||||||||
\(834\) | 2.86706 | + | 18.3665i | 0.0992780 | + | 0.635981i | ||||
\(835\) | 6.64205 | − | 10.3352i | 0.229858 | − | 0.357665i | ||||
\(836\) | 1.44385 | − | 3.16160i | 0.0499368 | − | 0.109346i | ||||
\(837\) | −14.2970 | + | 34.5608i | −0.494175 | + | 1.19459i | ||||
\(838\) | −10.0319 | + | 8.69269i | −0.346546 | + | 0.300284i | ||||
\(839\) | −7.93665 | − | 3.62455i | −0.274003 | − | 0.125133i | 0.273675 | − | 0.961822i | \(-0.411761\pi\) |
−0.547678 | + | 0.836689i | \(0.684488\pi\) | |||||||
\(840\) | 14.4095 | − | 32.5860i | 0.497173 | − | 1.12433i | ||||
\(841\) | 15.1538 | 0.522545 | ||||||||
\(842\) | 7.51017 | 0.258818 | ||||||||
\(843\) | 1.81358 | + | 0.801959i | 0.0624629 | + | 0.0276209i | ||||
\(844\) | −7.89462 | − | 2.31807i | −0.271744 | − | 0.0797912i | ||||
\(845\) | 4.19445 | − | 29.1731i | 0.144294 | − | 1.00358i | ||||
\(846\) | −17.5152 | − | 14.4527i | −0.602184 | − | 0.496896i | ||||
\(847\) | 42.7609 | + | 6.14809i | 1.46928 | + | 0.211251i | ||||
\(848\) | −10.1652 | − | 22.2586i | −0.349073 | − | 0.764364i | ||||
\(849\) | −5.59245 | + | 19.9317i | −0.191932 | + | 0.684056i | ||||
\(850\) | 0.00494979 | − | 0.0168574i | 0.000169776 | − | 0.000578205i | ||||
\(851\) | 14.6989 | − | 6.71277i | 0.503872 | − | 0.230111i | ||||
\(852\) | −21.9056 | + | 25.9047i | −0.750472 | + | 0.887482i | ||||
\(853\) | −6.72187 | − | 46.7516i | −0.230152 | − | 1.60075i | −0.697442 | − | 0.716641i | \(-0.745679\pi\) |
0.467290 | − | 0.884104i | \(-0.345230\pi\) | |||||||
\(854\) | 2.82227 | − | 19.6293i | 0.0965762 | − | 0.671702i | ||||
\(855\) | 19.7857 | − | 13.4002i | 0.676657 | − | 0.458277i | ||||
\(856\) | 16.1292 | − | 13.9760i | 0.551285 | − | 0.477691i | ||||
\(857\) | 0.0169903 | + | 0.118170i | 0.000580378 | + | 0.00403662i | 0.990110 | − | 0.140296i | \(-0.0448055\pi\) |
−0.989529 | + | 0.144333i | \(0.953896\pi\) | |||||||
\(858\) | 0.111272 | + | 0.125330i | 0.00379876 | + | 0.00427869i | ||||
\(859\) | −33.1855 | + | 21.3270i | −1.13228 | + | 0.727669i | −0.966034 | − | 0.258416i | \(-0.916800\pi\) |
−0.166242 | + | 0.986085i | \(0.553163\pi\) | |||||||
\(860\) | −9.35775 | − | 31.8696i | −0.319097 | − | 1.08674i | ||||
\(861\) | −57.3953 | − | 16.1040i | −1.95602 | − | 0.548821i | ||||
\(862\) | 10.4783 | + | 9.07951i | 0.356893 | + | 0.309249i | ||||
\(863\) | 23.0197 | − | 35.8193i | 0.783599 | − | 1.21930i | −0.187883 | − | 0.982191i | \(-0.560163\pi\) |
0.971482 | − | 0.237113i | \(-0.0762011\pi\) | |||||||
\(864\) | 7.18067 | − | 28.1876i | 0.244292 | − | 0.958961i | ||||
\(865\) | 8.98875 | − | 30.6129i | 0.305627 | − | 1.04087i | ||||
\(866\) | 0.263941 | + | 0.898900i | 0.00896907 | + | 0.0305459i | ||||
\(867\) | −8.62428 | − | 28.1136i | −0.292896 | − | 0.954787i | ||||
\(868\) | −19.7532 | − | 43.2535i | −0.670467 | − | 1.46812i | ||||
\(869\) | −5.38857 | − | 4.66922i | −0.182795 | − | 0.158392i | ||||
\(870\) | −1.38749 | − | 8.88834i | −0.0470403 | − | 0.301343i | ||||
\(871\) | −0.178131 | + | 2.10550i | −0.00603572 | + | 0.0713420i | ||||
\(872\) | 23.3806i | 0.791769i | ||||||||
\(873\) | 1.27740 | + | 0.546554i | 0.0432335 | + | 0.0184980i | ||||
\(874\) | −6.74668 | + | 3.08111i | −0.228210 | + | 0.104220i | ||||
\(875\) | 44.0835 | − | 6.33825i | 1.49029 | − | 0.214272i | ||||
\(876\) | 27.9485 | − | 13.1730i | 0.944291 | − | 0.445075i | ||||
\(877\) | 34.9047 | + | 10.2489i | 1.17865 | + | 0.346082i | 0.811653 | − | 0.584140i | \(-0.198568\pi\) |
0.366996 | + | 0.930223i | \(0.380386\pi\) | |||||||
\(878\) | 7.50095 | − | 8.65656i | 0.253145 | − | 0.292145i | ||||
\(879\) | −9.99914 | + | 22.6124i | −0.337263 | + | 0.762698i | ||||
\(880\) | −1.72587 | + | 1.99176i | −0.0581789 | + | 0.0671421i | ||||
\(881\) | −5.87304 | − | 2.68213i | −0.197868 | − | 0.0903632i | 0.314017 | − | 0.949417i | \(-0.398325\pi\) |
−0.511885 | + | 0.859054i | \(0.671052\pi\) | |||||||
\(882\) | −14.4997 | + | 9.82015i | −0.488230 | + | 0.330662i | ||||
\(883\) | 19.9374 | + | 31.0232i | 0.670948 | + | 1.04402i | 0.995183 | + | 0.0980386i | \(0.0312569\pi\) |
−0.324235 | + | 0.945977i | \(0.605107\pi\) | |||||||
\(884\) | −0.0524124 | + | 0.0336834i | −0.00176282 | + | 0.00113290i | ||||
\(885\) | 16.7978 | − | 5.15298i | 0.564651 | − | 0.173216i | ||||
\(886\) | 0.843195 | + | 0.973098i | 0.0283277 | + | 0.0326919i | ||||
\(887\) | 6.53656 | + | 22.2615i | 0.219476 | + | 0.747467i | 0.993452 | + | 0.114252i | \(0.0364471\pi\) |
−0.773976 | + | 0.633215i | \(0.781735\pi\) | |||||||
\(888\) | 0.216192 | + | 17.9361i | 0.00725494 | + | 0.601896i | ||||
\(889\) | 56.8257 | − | 8.17031i | 1.90587 | − | 0.274023i | ||||
\(890\) | 6.07376 | − | 5.26294i | 0.203593 | − | 0.176414i | ||||
\(891\) | −4.77155 | − | 2.75096i | −0.159853 | − | 0.0921608i | ||||
\(892\) | 19.1384 | + | 5.61954i | 0.640801 | + | 0.188156i | ||||
\(893\) | 39.2931 | + | 17.9446i | 1.31489 | + | 0.600492i | ||||
\(894\) | 0.0943879 | − | 0.0622795i | 0.00315680 | − | 0.00208294i | ||||
\(895\) | −4.51886 | + | 31.4293i | −0.151049 | + | 1.05057i | ||||
\(896\) | 25.0822 | + | 39.0286i | 0.837937 | + | 1.30385i | ||||
\(897\) | 0.0186692 | + | 1.54886i | 0.000623346 | + | 0.0517150i | ||||
\(898\) | 6.27545 | − | 21.3722i | 0.209414 | − | 0.713200i | ||||
\(899\) | −22.5318 | − | 14.4803i | −0.751477 | − | 0.482945i | ||||
\(900\) | −0.896543 | + | 0.286896i | −0.0298848 | + | 0.00956320i | ||||
\(901\) | 1.92332i | 0.0640752i | ||||||||
\(902\) | −2.66930 | − | 1.71546i | −0.0888781 | − | 0.0571185i | ||||
\(903\) | −17.0653 | + | 60.8215i | −0.567897 | + | 2.02401i | ||||
\(904\) | 13.5795 | + | 15.6715i | 0.451646 | + | 0.521227i | ||||
\(905\) | 17.4920 | + | 20.1868i | 0.581453 | + | 0.671033i | ||||
\(906\) | 0.102794 | − | 0.366361i | 0.00341509 | − | 0.0121715i | ||||
\(907\) | −47.8184 | − | 30.7310i | −1.58778 | − | 1.02041i | −0.972736 | − | 0.231917i | \(-0.925500\pi\) |
−0.615048 | − | 0.788490i | \(-0.710863\pi\) | |||||||
\(908\) | − | 25.4750i | − | 0.845418i | ||||||
\(909\) | −50.4228 | + | 16.1354i | −1.67242 | + | 0.535178i | ||||
\(910\) | −1.23241 | − | 0.792025i | −0.0408541 | − | 0.0262554i | ||||
\(911\) | 4.65688 | − | 15.8599i | 0.154289 | − | 0.525461i | −0.845677 | − | 0.533695i | \(-0.820803\pi\) |
0.999966 | + | 0.00823445i | \(0.00262114\pi\) | |||||||
\(912\) | 0.137896 | + | 11.4403i | 0.00456619 | + | 0.378827i | ||||
\(913\) | 0.851180 | + | 1.32446i | 0.0281699 | + | 0.0438333i | ||||
\(914\) | −0.767724 | + | 5.33963i | −0.0253940 | + | 0.176619i | ||||
\(915\) | −26.2356 | + | 17.3109i | −0.867322 | + | 0.572282i | ||||
\(916\) | 23.6765 | + | 10.8127i | 0.782292 | + | 0.357261i | ||||
\(917\) | 38.3390 | + | 11.2574i | 1.26607 | + | 0.371751i | ||||
\(918\) | −0.296460 | + | 0.368231i | −0.00978465 | + | 0.0121534i | ||||
\(919\) | −28.2862 | + | 24.5102i | −0.933077 | + | 0.808515i | −0.981726 | − | 0.190301i | \(-0.939054\pi\) |
0.0486494 | + | 0.998816i | \(0.484508\pi\) | |||||||
\(920\) | 17.3495 | − | 2.49448i | 0.571995 | − | 0.0822404i | ||||
\(921\) | −0.116503 | − | 9.66547i | −0.00383889 | − | 0.318488i | ||||
\(922\) | −0.981873 | − | 3.34395i | −0.0323363 | − | 0.110127i | ||||
\(923\) | 2.03781 | + | 2.35176i | 0.0670754 | + | 0.0774092i | ||||
\(924\) | 6.69447 | − | 2.05363i | 0.220232 | − | 0.0675595i | ||||
\(925\) | 0.757771 | − | 0.486990i | 0.0249153 | − | 0.0160121i | ||||
\(926\) | 1.86478 | + | 2.90165i | 0.0612804 | + | 0.0953541i | ||||
\(927\) | 4.15387 | − | 2.81327i | 0.136431 | − | 0.0924000i | ||||
\(928\) | 18.9479 | + | 8.65320i | 0.621994 | + | 0.284055i | ||||
\(929\) | −15.7730 | + | 18.2030i | −0.517496 | + | 0.597223i | −0.953002 | − | 0.302963i | \(-0.902024\pi\) |
0.435506 | + | 0.900186i | \(0.356569\pi\) | |||||||
\(930\) | 7.03754 | − | 15.9149i | 0.230770 | − | 0.521871i | ||||
\(931\) | 21.8151 | − | 25.1760i | 0.714961 | − | 0.825109i | ||||
\(932\) | 20.5013 | + | 6.01974i | 0.671544 | + | 0.197183i | ||||
\(933\) | 41.6094 | − | 19.6119i | 1.36223 | − | 0.642063i | ||||
\(934\) | 11.6556 | − | 1.67583i | 0.381384 | − | 0.0548347i | ||||
\(935\) | 0.188427 | − | 0.0860518i | 0.00616223 | − | 0.00281420i | ||||
\(936\) | −1.58081 | − | 0.676371i | −0.0516704 | − | 0.0221079i | ||||
\(937\) | − | 15.5658i | − | 0.508514i | −0.967137 | − | 0.254257i | \(-0.918169\pi\) | ||
0.967137 | − | 0.254257i | \(-0.0818309\pi\) | |||||||
\(938\) | −17.7620 | − | 10.0007i | −0.579950 | − | 0.326536i | ||||
\(939\) | 0.751683 | + | 4.81532i | 0.0245302 | + | 0.157142i | ||||
\(940\) | −34.5824 | − | 29.9658i | −1.12795 | − | 0.977378i | ||||
\(941\) | 5.43985 | + | 11.9116i | 0.177334 | + | 0.388308i | 0.977337 | − | 0.211688i | \(-0.0678962\pi\) |
−0.800003 | + | 0.599996i | \(0.795169\pi\) | |||||||
\(942\) | −1.06636 | − | 3.47615i | −0.0347440 | − | 0.113259i | ||||
\(943\) | −8.26198 | − | 28.1377i | −0.269047 | − | 0.916290i | ||||
\(944\) | −2.37004 | + | 8.07161i | −0.0771382 | + | 0.262708i | ||||
\(945\) | 46.6534 | + | 11.8848i | 1.51764 | + | 0.386612i | ||||
\(946\) | −1.81786 | + | 2.82865i | −0.0591038 | + | 0.0919673i | ||||
\(947\) | 29.0057 | + | 25.1336i | 0.942560 | + | 0.816733i | 0.983217 | − | 0.182440i | \(-0.0583996\pi\) |
−0.0406570 | + | 0.999173i | \(0.512945\pi\) | |||||||
\(948\) | 31.5703 | + | 8.85798i | 1.02535 | + | 0.287694i | ||||
\(949\) | −0.798460 | − | 2.71930i | −0.0259191 | − | 0.0882723i | ||||
\(950\) | −0.347811 | + | 0.223524i | −0.0112845 | + | 0.00725209i | ||||
\(951\) | −31.1066 | − | 35.0366i | −1.00870 | − | 1.13614i | ||||
\(952\) | −0.190818 | − | 1.32717i | −0.00618446 | − | 0.0430139i | ||||
\(953\) | −28.7670 | + | 24.9268i | −0.931855 | + | 0.807457i | −0.981530 | − | 0.191308i | \(-0.938727\pi\) |
0.0496747 | + | 0.998765i | \(0.484182\pi\) | |||||||
\(954\) | −19.7002 | + | 13.3422i | −0.637816 | + | 0.431971i | ||||
\(955\) | −7.05035 | + | 49.0363i | −0.228144 | + | 1.58678i | ||||
\(956\) | −0.705042 | − | 4.90367i | −0.0228027 | − | 0.158596i | ||||
\(957\) | 2.54679 | − | 3.01174i | 0.0823259 | − | 0.0973558i | ||||
\(958\) | 16.9074 | − | 7.72136i | 0.546254 | − | 0.249466i | ||||
\(959\) | 9.32936 | − | 31.7729i | 0.301261 | − | 1.02600i | ||||
\(960\) | 0.374049 | − | 1.33313i | 0.0120724 | − | 0.0430265i | ||||
\(961\) | −8.64446 | − | 18.9287i | −0.278853 | − | 0.610604i | ||||
\(962\) | 0.730017 | + | 0.104961i | 0.0235367 | + | 0.00338407i | ||||
\(963\) | 22.2428 | + | 18.3538i | 0.716766 | + | 0.591443i | ||||
\(964\) | −3.46016 | + | 24.0660i | −0.111444 | + | 0.775113i | ||||
\(965\) | −6.62099 | − | 1.94410i | −0.213137 | − | 0.0625827i | ||||
\(966\) | −13.6662 | − | 6.04314i | −0.439702 | − | 0.194435i | ||||
\(967\) | 21.6457 | 0.696080 | 0.348040 | − | 0.937480i | \(-0.386847\pi\) | ||||
0.348040 | + | 0.937480i | \(0.386847\pi\) | |||||||
\(968\) | −23.5910 | −0.758243 | ||||||||
\(969\) | 0.363684 | − | 0.822447i | 0.0116832 | − | 0.0264208i | ||||
\(970\) | −0.588030 | − | 0.268544i | −0.0188805 | − | 0.00862244i | ||||
\(971\) | 18.3159 | − | 15.8709i | 0.587787 | − | 0.509320i | −0.309423 | − | 0.950924i | \(-0.600136\pi\) |
0.897210 | + | 0.441604i | \(0.145590\pi\) | |||||||
\(972\) | 25.2425 | + | 2.08814i | 0.809654 | + | 0.0669771i | ||||
\(973\) | 29.5944 | − | 64.8026i | 0.948752 | − | 2.07748i | ||||
\(974\) | −12.1994 | + | 18.9827i | −0.390895 | + | 0.608244i | ||||
\(975\) | 0.0133173 | + | 0.0853116i | 0.000426496 | + | 0.00273216i | ||||
\(976\) | − | 15.0491i | − | 0.481709i | ||||||
\(977\) | 7.80324 | − | 12.1421i | 0.249648 | − | 0.388459i | −0.693701 | − | 0.720263i | \(-0.744021\pi\) |
0.943348 | + | 0.331804i | \(0.107657\pi\) | |||||||
\(978\) | −13.8917 | − | 1.82672i | −0.444209 | − | 0.0584121i | ||||
\(979\) | 3.48776 | + | 0.501465i | 0.111469 | + | 0.0160269i | ||||
\(980\) | −29.6867 | + | 19.0785i | −0.948306 | + | 0.609439i | ||||
\(981\) | −31.1532 | + | 5.24847i | −0.994645 | + | 0.167571i | ||||
\(982\) | 2.06813 | − | 0.944482i | 0.0659966 | − | 0.0301396i | ||||
\(983\) | −18.6161 | + | 40.7636i | −0.593761 | + | 1.30016i | 0.339381 | + | 0.940649i | \(0.389782\pi\) |
−0.933142 | + | 0.359507i | \(0.882945\pi\) | |||||||
\(984\) | 32.2749 | + | 4.24405i | 1.02889 | + | 0.135295i | ||||
\(985\) | −8.35554 | − | 18.2961i | −0.266230 | − | 0.582962i | ||||
\(986\) | −0.221694 | − | 0.255849i | −0.00706018 | − | 0.00814788i | ||||
\(987\) | 25.5230 | + | 83.2005i | 0.812407 | + | 2.64830i | ||||
\(988\) | 1.45121 | + | 0.208653i | 0.0461692 | + | 0.00663813i | ||||
\(989\) | −29.8174 | + | 8.75518i | −0.948139 | + | 0.278399i | ||||
\(990\) | 2.18854 | + | 1.33307i | 0.0695565 | + | 0.0423677i | ||||
\(991\) | −8.69478 | + | 1.25012i | −0.276199 | + | 0.0397114i | −0.279022 | − | 0.960285i | \(-0.590010\pi\) |
0.00282349 | + | 0.999996i | \(0.499101\pi\) | |||||||
\(992\) | 21.7842 | + | 33.8969i | 0.691649 | + | 1.07623i | ||||
\(993\) | −10.2061 | − | 11.4956i | −0.323882 | − | 0.364802i | ||||
\(994\) | −28.8033 | + | 8.45740i | −0.913584 | + | 0.268252i | ||||
\(995\) | 24.2108 | − | 53.0142i | 0.767534 | − | 1.68066i | ||||
\(996\) | −6.13758 | − | 3.84065i | −0.194477 | − | 0.121696i | ||||
\(997\) | −3.46562 | − | 2.22722i | −0.109757 | − | 0.0705368i | 0.484611 | − | 0.874730i | \(-0.338961\pi\) |
−0.594368 | + | 0.804193i | \(0.702598\pi\) | |||||||
\(998\) | −3.94323 | − | 3.41683i | −0.124821 | − | 0.108158i | ||||
\(999\) | −23.8502 | + | 4.31434i | −0.754586 | + | 0.136500i |
(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 | 201.2.j.a.5.12 | yes | 200 | |
3.2 | odd | 2 | inner | 201.2.j.a.5.9 | ✓ | 200 | |
67.27 | odd | 22 | inner | 201.2.j.a.161.9 | yes | 200 | |
201.161 | even | 22 | inner | 201.2.j.a.161.12 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.2.j.a.5.9 | ✓ | 200 | 3.2 | odd | 2 | inner | |
201.2.j.a.5.12 | yes | 200 | 1.1 | even | 1 | trivial | |
201.2.j.a.161.9 | yes | 200 | 67.27 | odd | 22 | inner | |
201.2.j.a.161.12 | yes | 200 | 201.161 | even | 22 | inner |