Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(24,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([35, 26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.24");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.cc (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(560\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 24.1 | ||
Character | \(\chi\) | \(=\) | 403.24 |
Dual form | 403.2.cc.a.84.1 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{13}{30}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.75171 | + | 0.144211i | −1.94575 | + | 0.101973i | −0.984686 | − | 0.174337i | \(-0.944222\pi\) |
−0.961069 | + | 0.276310i | \(0.910888\pi\) | |||||||
\(3\) | 2.34874 | − | 2.11482i | 1.35605 | − | 1.22099i | 0.404103 | − | 0.914713i | \(-0.367584\pi\) |
0.951943 | − | 0.306276i | \(-0.0990830\pi\) | |||||||
\(4\) | 5.56208 | − | 0.584598i | 2.78104 | − | 0.292299i | ||||
\(5\) | 0.937749 | − | 0.251269i | 0.419374 | − | 0.112371i | −0.0429599 | − | 0.999077i | \(-0.513679\pi\) |
0.462334 | + | 0.886706i | \(0.347012\pi\) | |||||||
\(6\) | −6.15808 | + | 6.15808i | −2.51403 | + | 2.51403i | ||||
\(7\) | −0.0941873 | + | 0.594675i | −0.0355994 | + | 0.224766i | −0.999074 | − | 0.0430355i | \(-0.986297\pi\) |
0.963474 | + | 0.267802i | \(0.0862972\pi\) | |||||||
\(8\) | −9.77782 | + | 1.54865i | −3.45698 | + | 0.547532i | ||||
\(9\) | 0.730552 | − | 6.95074i | 0.243517 | − | 2.31691i | ||||
\(10\) | −2.54418 | + | 0.826654i | −0.804541 | + | 0.261411i | ||||
\(11\) | −2.64957 | − | 0.419651i | −0.798876 | − | 0.126530i | −0.256367 | − | 0.966579i | \(-0.582526\pi\) |
−0.542509 | + | 0.840050i | \(0.682526\pi\) | |||||||
\(12\) | 11.8276 | − | 13.1358i | 3.41433 | − | 3.79199i | ||||
\(13\) | −1.88894 | − | 3.07114i | −0.523898 | − | 0.851781i | ||||
\(14\) | 0.173418 | − | 1.64996i | 0.0463478 | − | 0.440970i | ||||
\(15\) | 1.67114 | − | 2.57333i | 0.431487 | − | 0.664432i | ||||
\(16\) | 15.7414 | − | 3.34594i | 3.93535 | − | 0.836484i | ||||
\(17\) | −3.30352 | − | 2.40015i | −0.801222 | − | 0.582122i | 0.110050 | − | 0.993926i | \(-0.464899\pi\) |
−0.911272 | + | 0.411804i | \(0.864899\pi\) | |||||||
\(18\) | −1.00790 | + | 19.2318i | −0.237563 | + | 4.53298i | ||||
\(19\) | 1.19463 | − | 2.34460i | 0.274068 | − | 0.537889i | −0.712414 | − | 0.701760i | \(-0.752398\pi\) |
0.986482 | + | 0.163871i | \(0.0523980\pi\) | |||||||
\(20\) | 5.06895 | − | 1.94579i | 1.13345 | − | 0.435091i | ||||
\(21\) | 1.03641 | + | 1.59593i | 0.226162 | + | 0.348260i | ||||
\(22\) | 7.35138 | + | 0.772661i | 1.56732 | + | 0.164732i | ||||
\(23\) | −0.115780 | + | 1.10157i | −0.0241418 | + | 0.229694i | 0.975798 | + | 0.218676i | \(0.0701738\pi\) |
−0.999939 | + | 0.0110178i | \(0.996493\pi\) | |||||||
\(24\) | −19.6904 | + | 24.3157i | −4.01929 | + | 4.96341i | ||||
\(25\) | −3.51389 | + | 2.02875i | −0.702778 | + | 0.405749i | ||||
\(26\) | 5.64072 | + | 8.17849i | 1.10624 | + | 1.60393i | ||||
\(27\) | −7.41049 | − | 10.1997i | −1.42615 | − | 1.96293i | ||||
\(28\) | −0.176231 | + | 3.36269i | −0.0333046 | + | 0.635489i | ||||
\(29\) | 4.74973 | + | 4.27668i | 0.882004 | + | 0.794160i | 0.979577 | − | 0.201069i | \(-0.0644415\pi\) |
−0.0975736 | + | 0.995228i | \(0.531108\pi\) | |||||||
\(30\) | −4.22740 | + | 7.32207i | −0.771814 | + | 1.33682i | ||||
\(31\) | 4.25597 | − | 3.58980i | 0.764396 | − | 0.644748i | ||||
\(32\) | −23.7085 | + | 6.35268i | −4.19112 | + | 1.12301i | ||||
\(33\) | −7.11064 | + | 4.61771i | −1.23780 | + | 0.803839i | ||||
\(34\) | 9.43648 | + | 6.12812i | 1.61834 | + | 1.05096i | ||||
\(35\) | 0.0610995 | + | 0.581322i | 0.0103277 | + | 0.0982614i | ||||
\(36\) | − | 39.0877i | − | 6.51461i | ||||||
\(37\) | 9.75823 | − | 2.61471i | 1.60424 | − | 0.429856i | 0.657923 | − | 0.753085i | \(-0.271435\pi\) |
0.946321 | + | 0.323230i | \(0.104769\pi\) | |||||||
\(38\) | −2.94917 | + | 6.62395i | −0.478419 | + | 1.07455i | ||||
\(39\) | −10.9315 | − | 3.21854i | −1.75045 | − | 0.515379i | ||||
\(40\) | −8.78001 | + | 3.90911i | −1.38824 | + | 0.618085i | ||||
\(41\) | 4.19154 | − | 8.22635i | 0.654608 | − | 1.28474i | −0.290153 | − | 0.956980i | \(-0.593706\pi\) |
0.944761 | − | 0.327760i | \(-0.106294\pi\) | |||||||
\(42\) | −3.08204 | − | 4.24207i | −0.475570 | − | 0.654565i | ||||
\(43\) | 2.63323 | + | 8.10425i | 0.401564 | + | 1.23589i | 0.923731 | + | 0.383043i | \(0.125124\pi\) |
−0.522167 | + | 0.852843i | \(0.674876\pi\) | |||||||
\(44\) | −14.9825 | − | 0.785198i | −2.25869 | − | 0.118373i | ||||
\(45\) | −1.06143 | − | 6.70162i | −0.158229 | − | 0.999018i | ||||
\(46\) | 0.159734 | − | 3.04791i | 0.0235515 | − | 0.449390i | ||||
\(47\) | 0.0665742 | + | 0.130659i | 0.00971085 | + | 0.0190586i | 0.895811 | − | 0.444435i | \(-0.146596\pi\) |
−0.886100 | + | 0.463494i | \(0.846596\pi\) | |||||||
\(48\) | 29.8964 | − | 41.1489i | 4.31518 | − | 5.93933i | ||||
\(49\) | 6.31263 | + | 2.05110i | 0.901804 | + | 0.293014i | ||||
\(50\) | 9.37665 | − | 6.08927i | 1.32606 | − | 0.861152i | ||||
\(51\) | −12.8350 | + | 1.34901i | −1.79726 | + | 0.188899i | ||||
\(52\) | −12.3018 | − | 15.9777i | −1.70596 | − | 2.21570i | ||||
\(53\) | −0.0655700 | − | 0.147273i | −0.00900674 | − | 0.0202295i | 0.908986 | − | 0.416826i | \(-0.136858\pi\) |
−0.917993 | + | 0.396597i | \(0.870191\pi\) | |||||||
\(54\) | 21.8625 | + | 26.9979i | 2.97510 | + | 3.67395i | ||||
\(55\) | −2.59008 | + | 0.272228i | −0.349246 | + | 0.0367073i | ||||
\(56\) | − | 5.96049i | − | 0.796504i | ||||||
\(57\) | −2.15252 | − | 8.03330i | −0.285108 | − | 1.06404i | ||||
\(58\) | −13.6867 | − | 11.0832i | −1.79715 | − | 1.45530i | ||||
\(59\) | 0.0516021 | + | 0.101275i | 0.00671802 | + | 0.0131849i | 0.894341 | − | 0.447386i | \(-0.147645\pi\) |
−0.887623 | + | 0.460571i | \(0.847645\pi\) | |||||||
\(60\) | 7.79066 | − | 15.2900i | 1.00577 | − | 1.97393i | ||||
\(61\) | −4.15588 | − | 2.39940i | −0.532105 | − | 0.307211i | 0.209768 | − | 0.977751i | \(-0.432729\pi\) |
−0.741873 | + | 0.670540i | \(0.766062\pi\) | |||||||
\(62\) | −11.1935 | + | 10.4919i | −1.42158 | + | 1.33247i | ||||
\(63\) | 4.06462 | + | 1.08911i | 0.512094 | + | 0.137215i | ||||
\(64\) | 33.7121 | − | 10.9537i | 4.21401 | − | 1.36922i | ||||
\(65\) | −2.54304 | − | 2.40533i | −0.315425 | − | 0.298344i | ||||
\(66\) | 18.9005 | − | 13.7320i | 2.32649 | − | 1.69030i | ||||
\(67\) | 1.82921 | + | 1.82921i | 0.223473 | + | 0.223473i | 0.809959 | − | 0.586486i | \(-0.199489\pi\) |
−0.586486 | + | 0.809959i | \(0.699489\pi\) | |||||||
\(68\) | −19.7776 | − | 11.4186i | −2.39839 | − | 1.38471i | ||||
\(69\) | 2.05769 | + | 2.83216i | 0.247716 | + | 0.340952i | ||||
\(70\) | −0.251961 | − | 1.59082i | −0.0301151 | − | 0.190140i | ||||
\(71\) | −0.333669 | + | 0.270200i | −0.0395992 | + | 0.0320668i | −0.648916 | − | 0.760860i | \(-0.724777\pi\) |
0.609317 | + | 0.792927i | \(0.291444\pi\) | |||||||
\(72\) | 3.62109 | + | 69.0944i | 0.426749 | + | 8.14286i | ||||
\(73\) | −7.25142 | + | 8.95476i | −0.848715 | + | 1.04808i | 0.149524 | + | 0.988758i | \(0.452226\pi\) |
−0.998239 | + | 0.0593177i | \(0.981108\pi\) | |||||||
\(74\) | −26.4748 | + | 8.60218i | −3.07763 | + | 0.999983i | ||||
\(75\) | −3.96279 | + | 12.1962i | −0.457584 | + | 1.40830i | ||||
\(76\) | 5.27401 | − | 13.7393i | 0.604970 | − | 1.57600i | ||||
\(77\) | 0.499112 | − | 1.53611i | 0.0568791 | − | 0.175056i | ||||
\(78\) | 30.5446 | + | 7.28006i | 3.45849 | + | 0.824304i | ||||
\(79\) | −0.104121 | − | 0.0109435i | −0.0117145 | − | 0.00123124i | 0.0986694 | − | 0.995120i | \(-0.468541\pi\) |
−0.110384 | + | 0.993889i | \(0.535208\pi\) | |||||||
\(80\) | 13.9208 | − | 7.09298i | 1.55639 | − | 0.793019i | ||||
\(81\) | −18.4668 | − | 3.92525i | −2.05187 | − | 0.436139i | ||||
\(82\) | −10.3476 | + | 23.2410i | −1.14270 | + | 2.56654i | ||||
\(83\) | 4.44601 | − | 2.88727i | 0.488013 | − | 0.316919i | −0.277072 | − | 0.960849i | \(-0.589364\pi\) |
0.765084 | + | 0.643930i | \(0.222697\pi\) | |||||||
\(84\) | 6.69755 | + | 8.27079i | 0.730763 | + | 0.902417i | ||||
\(85\) | −3.70096 | − | 1.42067i | −0.401425 | − | 0.154093i | ||||
\(86\) | −8.41462 | − | 21.9208i | −0.907371 | − | 2.36378i | ||||
\(87\) | 20.2003 | 2.16570 | ||||||||
\(88\) | 26.5569 | 2.83098 | ||||||||
\(89\) | 6.04734 | + | 15.7538i | 0.641016 | + | 1.66990i | 0.738153 | + | 0.674634i | \(0.235698\pi\) |
−0.0971365 | + | 0.995271i | \(0.530968\pi\) | |||||||
\(90\) | 3.88720 | + | 18.2879i | 0.409747 | + | 1.92771i | ||||
\(91\) | 2.00424 | − | 0.834045i | 0.210102 | − | 0.0874317i | ||||
\(92\) | 6.19473i | 0.645845i | ||||||||
\(93\) | 2.40441 | − | 17.4321i | 0.249326 | − | 1.80763i | ||||
\(94\) | −0.202036 | − | 0.349936i | −0.0208384 | − | 0.0360932i | ||||
\(95\) | 0.531142 | − | 2.49882i | 0.0544940 | − | 0.256374i | ||||
\(96\) | −42.2505 | + | 65.0600i | −4.31217 | + | 6.64016i | ||||
\(97\) | −5.22965 | + | 6.45808i | −0.530990 | + | 0.655718i | −0.970097 | − | 0.242716i | \(-0.921962\pi\) |
0.439107 | + | 0.898435i | \(0.355295\pi\) | |||||||
\(98\) | −17.6663 | − | 4.73368i | −1.78457 | − | 0.478174i | ||||
\(99\) | −4.85254 | + | 18.1099i | −0.487698 | + | 1.82011i | ||||
\(100\) | −18.3585 | + | 13.3383i | −1.83585 | + | 1.33383i | ||||
\(101\) | 7.92132 | + | 0.832564i | 0.788201 | + | 0.0828432i | 0.490071 | − | 0.871682i | \(-0.336971\pi\) |
0.298129 | + | 0.954526i | \(0.403637\pi\) | |||||||
\(102\) | 35.1237 | − | 5.56304i | 3.47776 | − | 0.550823i | ||||
\(103\) | −0.317996 | + | 1.49605i | −0.0313330 | + | 0.147410i | −0.991033 | − | 0.133615i | \(-0.957341\pi\) |
0.959700 | + | 0.281026i | \(0.0906746\pi\) | |||||||
\(104\) | 23.2259 | + | 27.1037i | 2.27748 | + | 2.65774i | ||||
\(105\) | 1.37290 | + | 1.23616i | 0.133981 | + | 0.120637i | ||||
\(106\) | 0.201668 | + | 0.395796i | 0.0195878 | + | 0.0384431i | ||||
\(107\) | 1.35060 | − | 0.601327i | 0.130568 | − | 0.0581325i | −0.340413 | − | 0.940276i | \(-0.610567\pi\) |
0.470981 | + | 0.882144i | \(0.343900\pi\) | |||||||
\(108\) | −47.1805 | − | 52.3992i | −4.53994 | − | 5.04212i | ||||
\(109\) | −5.79431 | + | 2.95235i | −0.554994 | + | 0.282784i | −0.708908 | − | 0.705301i | \(-0.750812\pi\) |
0.153914 | + | 0.988084i | \(0.450812\pi\) | |||||||
\(110\) | 7.08790 | − | 1.12261i | 0.675805 | − | 0.107037i | ||||
\(111\) | 17.3899 | − | 26.7781i | 1.65058 | − | 2.54167i | ||||
\(112\) | 0.507106 | + | 9.67616i | 0.0479170 | + | 0.914312i | ||||
\(113\) | −6.48172 | − | 2.88585i | −0.609749 | − | 0.271478i | 0.0785437 | − | 0.996911i | \(-0.474973\pi\) |
−0.688293 | + | 0.725433i | \(0.741640\pi\) | |||||||
\(114\) | 7.08160 | + | 21.7949i | 0.663252 | + | 2.04128i | ||||
\(115\) | 0.168219 | + | 1.06209i | 0.0156865 | + | 0.0990405i | ||||
\(116\) | 28.9186 | + | 21.0106i | 2.68502 | + | 1.95078i | ||||
\(117\) | −22.7267 | + | 10.8859i | −2.10108 | + | 1.00640i | ||||
\(118\) | −0.156599 | − | 0.271238i | −0.0144161 | − | 0.0249695i | ||||
\(119\) | 1.73846 | − | 1.73846i | 0.159364 | − | 0.159364i | ||||
\(120\) | −12.3549 | + | 27.7496i | −1.12784 | + | 2.53318i | ||||
\(121\) | −3.61749 | − | 1.17539i | −0.328863 | − | 0.106854i | ||||
\(122\) | 11.7818 | + | 6.00312i | 1.06667 | + | 0.543497i | ||||
\(123\) | −7.55239 | − | 28.1859i | −0.680976 | − | 2.54144i | ||||
\(124\) | 21.5735 | − | 22.4548i | 1.93736 | − | 2.01650i | ||||
\(125\) | −6.21779 | + | 6.21779i | −0.556136 | + | 0.556136i | ||||
\(126\) | −11.3417 | − | 2.41076i | −1.01040 | − | 0.214768i | ||||
\(127\) | −3.21919 | − | 3.57527i | −0.285657 | − | 0.317254i | 0.583189 | − | 0.812336i | \(-0.301805\pi\) |
−0.868846 | + | 0.495082i | \(0.835138\pi\) | |||||||
\(128\) | −45.3572 | + | 17.4110i | −4.00904 | + | 1.53893i | ||||
\(129\) | 23.3238 | + | 13.4660i | 2.05354 | + | 1.18561i | ||||
\(130\) | 7.34458 | + | 6.25203i | 0.644162 | + | 0.548339i | ||||
\(131\) | 15.2615 | + | 6.79487i | 1.33340 | + | 0.593670i | 0.944774 | − | 0.327723i | \(-0.106281\pi\) |
0.388631 | + | 0.921393i | \(0.372948\pi\) | |||||||
\(132\) | −36.8505 | + | 29.8409i | −3.20742 | + | 2.59732i | ||||
\(133\) | 1.28176 | + | 0.931252i | 0.111142 | + | 0.0807497i | ||||
\(134\) | −5.29725 | − | 4.76966i | −0.457613 | − | 0.412036i | ||||
\(135\) | −9.51205 | − | 7.70270i | −0.818667 | − | 0.662943i | ||||
\(136\) | 36.0183 | + | 18.3522i | 3.08854 | + | 1.57369i | ||||
\(137\) | −12.1056 | − | 7.86145i | −1.03425 | − | 0.671649i | −0.0883427 | − | 0.996090i | \(-0.528157\pi\) |
−0.945906 | + | 0.324441i | \(0.894824\pi\) | |||||||
\(138\) | −6.07059 | − | 7.49656i | −0.516763 | − | 0.638149i | ||||
\(139\) | 13.4692 | − | 12.1277i | 1.14244 | − | 1.02866i | 0.143203 | − | 0.989693i | \(-0.454260\pi\) |
0.999240 | − | 0.0389670i | \(-0.0124067\pi\) | |||||||
\(140\) | 0.679680 | + | 3.19764i | 0.0574435 | + | 0.270250i | ||||
\(141\) | 0.432686 | + | 0.166093i | 0.0364387 | + | 0.0139875i | ||||
\(142\) | 0.879195 | − | 0.791631i | 0.0737804 | − | 0.0664322i | ||||
\(143\) | 3.71608 | + | 8.92990i | 0.310755 | + | 0.746756i | ||||
\(144\) | −11.7568 | − | 111.859i | −0.979736 | − | 9.32156i | ||||
\(145\) | 5.52866 | + | 2.81699i | 0.459130 | + | 0.233938i | ||||
\(146\) | 18.6625 | − | 25.6867i | 1.54452 | − | 2.12584i | ||||
\(147\) | 19.1644 | − | 8.53255i | 1.58065 | − | 0.703753i | ||||
\(148\) | 52.7475 | − | 20.2479i | 4.33582 | − | 1.66437i | ||||
\(149\) | 11.6555 | + | 11.6555i | 0.954857 | + | 0.954857i | 0.999024 | − | 0.0441672i | \(-0.0140634\pi\) |
−0.0441672 | + | 0.999024i | \(0.514063\pi\) | |||||||
\(150\) | 9.14564 | − | 34.1320i | 0.746738 | − | 2.78686i | ||||
\(151\) | 13.7477 | + | 2.17742i | 1.11877 | + | 0.177196i | 0.688311 | − | 0.725415i | \(-0.258352\pi\) |
0.430457 | + | 0.902611i | \(0.358352\pi\) | |||||||
\(152\) | −8.04994 | + | 24.7752i | −0.652937 | + | 2.00953i | ||||
\(153\) | −19.0962 | + | 21.2085i | −1.54384 | + | 1.71461i | ||||
\(154\) | −1.15189 | + | 4.29891i | −0.0928219 | + | 0.346416i | ||||
\(155\) | 3.08903 | − | 4.43573i | 0.248117 | − | 0.356286i | ||||
\(156\) | −62.6836 | − | 11.5113i | −5.01871 | − | 0.921638i | ||||
\(157\) | −6.65290 | − | 20.4755i | −0.530959 | − | 1.63412i | −0.752222 | − | 0.658910i | \(-0.771018\pi\) |
0.221262 | − | 0.975214i | \(-0.428982\pi\) | |||||||
\(158\) | 0.288089 | + | 0.0150981i | 0.0229191 | + | 0.00120114i | ||||
\(159\) | −0.465462 | − | 0.207237i | −0.0369135 | − | 0.0164350i | ||||
\(160\) | −20.6364 | + | 11.9144i | −1.63145 | + | 0.941920i | ||||
\(161\) | −0.644173 | − | 0.172606i | −0.0507680 | − | 0.0136032i | ||||
\(162\) | 51.3815 | + | 8.13803i | 4.03691 | + | 0.639384i | ||||
\(163\) | −2.84984 | + | 7.42409i | −0.223217 | + | 0.581499i | −0.998759 | − | 0.0497956i | \(-0.984143\pi\) |
0.775543 | + | 0.631295i | \(0.217476\pi\) | |||||||
\(164\) | 18.5046 | − | 48.2060i | 1.44496 | − | 3.76426i | ||||
\(165\) | −5.50771 | + | 6.11693i | −0.428775 | + | 0.476203i | ||||
\(166\) | −11.8178 | + | 8.58610i | −0.917236 | + | 0.666411i | ||||
\(167\) | 3.38677 | + | 5.21517i | 0.262076 | + | 0.403562i | 0.945073 | − | 0.326859i | \(-0.105990\pi\) |
−0.682997 | + | 0.730421i | \(0.739324\pi\) | |||||||
\(168\) | −12.6053 | − | 13.9996i | −0.972523 | − | 1.08010i | ||||
\(169\) | −5.86379 | + | 11.6024i | −0.451061 | + | 0.892493i | ||||
\(170\) | 10.3889 | + | 3.37554i | 0.796789 | + | 0.258892i | ||||
\(171\) | −15.4240 | − | 10.0165i | −1.17950 | − | 0.765977i | ||||
\(172\) | 19.3840 | + | 43.5371i | 1.47801 | + | 3.31967i | ||||
\(173\) | −1.09370 | − | 5.14548i | −0.0831528 | − | 0.391203i | 0.916814 | − | 0.399314i | \(-0.130752\pi\) |
−0.999967 | + | 0.00811054i | \(0.997418\pi\) | |||||||
\(174\) | −55.5854 | + | 2.91311i | −4.21392 | + | 0.220842i | ||||
\(175\) | −0.875481 | − | 2.28070i | −0.0661801 | − | 0.172405i | ||||
\(176\) | −43.1121 | + | 2.25941i | −3.24970 | + | 0.170309i | ||||
\(177\) | 0.335378 | + | 0.128739i | 0.0252085 | + | 0.00967665i | ||||
\(178\) | −18.9124 | − | 42.4780i | −1.41755 | − | 3.18386i | ||||
\(179\) | 1.90817 | + | 18.1550i | 0.142624 | + | 1.35697i | 0.798450 | + | 0.602061i | \(0.205653\pi\) |
−0.655827 | + | 0.754911i | \(0.727680\pi\) | |||||||
\(180\) | −9.82152 | − | 36.6544i | −0.732053 | − | 2.73206i | ||||
\(181\) | −5.26660 | + | 9.12201i | −0.391463 | + | 0.678034i | −0.992643 | − | 0.121080i | \(-0.961364\pi\) |
0.601180 | + | 0.799114i | \(0.294698\pi\) | |||||||
\(182\) | −5.39483 | + | 2.58409i | −0.399891 | + | 0.191545i | ||||
\(183\) | −14.8354 | + | 3.15335i | −1.09666 | + | 0.233102i | ||||
\(184\) | −0.573880 | − | 10.9503i | −0.0423070 | − | 0.807266i | ||||
\(185\) | 8.49378 | − | 4.90388i | 0.624475 | − | 0.360541i | ||||
\(186\) | −4.10234 | + | 48.3149i | −0.300798 | + | 3.54262i | ||||
\(187\) | 7.74570 | + | 7.74570i | 0.566422 | + | 0.566422i | ||||
\(188\) | 0.446675 | + | 0.687819i | 0.0325771 | + | 0.0501643i | ||||
\(189\) | 6.76346 | − | 3.44616i | 0.491970 | − | 0.250671i | ||||
\(190\) | −1.10119 | + | 6.95264i | −0.0798888 | + | 0.504398i | ||||
\(191\) | 0.836521 | + | 1.44890i | 0.0605285 | + | 0.104838i | 0.894702 | − | 0.446664i | \(-0.147388\pi\) |
−0.834173 | + | 0.551502i | \(0.814055\pi\) | |||||||
\(192\) | 56.0159 | − | 97.0224i | 4.04260 | − | 7.00199i | ||||
\(193\) | 3.00897 | + | 2.43661i | 0.216590 | + | 0.175391i | 0.731475 | − | 0.681868i | \(-0.238832\pi\) |
−0.514885 | + | 0.857259i | \(0.672165\pi\) | |||||||
\(194\) | 13.4592 | − | 18.5249i | 0.966311 | − | 1.33001i | ||||
\(195\) | −11.0598 | − | 0.271431i | −0.792005 | − | 0.0194376i | ||||
\(196\) | 36.3104 | + | 7.71802i | 2.59360 | + | 0.551287i | ||||
\(197\) | 1.34974 | − | 8.52194i | 0.0961652 | − | 0.607163i | −0.891793 | − | 0.452443i | \(-0.850552\pi\) |
0.987958 | − | 0.154720i | \(-0.0494475\pi\) | |||||||
\(198\) | 10.7411 | − | 50.5331i | 0.763339 | − | 3.59123i | ||||
\(199\) | −6.34542 | + | 1.34876i | −0.449815 | + | 0.0956111i | −0.427249 | − | 0.904134i | \(-0.640517\pi\) |
−0.0225664 | + | 0.999745i | \(0.507184\pi\) | |||||||
\(200\) | 31.2163 | − | 25.2785i | 2.20733 | − | 1.78746i | ||||
\(201\) | 8.16477 | + | 0.427898i | 0.575899 | + | 0.0301816i | ||||
\(202\) | −21.9173 | − | 1.14863i | −1.54209 | − | 0.0808177i | ||||
\(203\) | −2.99060 | + | 2.42174i | −0.209899 | + | 0.169973i | ||||
\(204\) | −70.6007 | + | 15.0066i | −4.94303 | + | 1.05067i | ||||
\(205\) | 1.86358 | − | 8.76746i | 0.130158 | − | 0.612346i | ||||
\(206\) | 0.659285 | − | 4.16256i | 0.0459346 | − | 0.290020i | ||||
\(207\) | 7.57217 | + | 1.60951i | 0.526302 | + | 0.111869i | ||||
\(208\) | −40.0104 | − | 42.0237i | −2.77423 | − | 2.91382i | ||||
\(209\) | −4.14919 | + | 5.71087i | −0.287005 | + | 0.395029i | ||||
\(210\) | −3.95608 | − | 3.20357i | −0.272996 | − | 0.221068i | ||||
\(211\) | −10.8762 | + | 18.8381i | −0.748745 | + | 1.29686i | 0.199679 | + | 0.979861i | \(0.436010\pi\) |
−0.948424 | + | 0.317004i | \(0.897323\pi\) | |||||||
\(212\) | −0.450801 | − | 0.780811i | −0.0309612 | − | 0.0536263i | ||||
\(213\) | −0.212279 | + | 1.34028i | −0.0145451 | + | 0.0918343i | ||||
\(214\) | −3.62975 | + | 1.84945i | −0.248125 | + | 0.126426i | ||||
\(215\) | 4.50566 | + | 6.93810i | 0.307283 | + | 0.473175i | ||||
\(216\) | 88.2542 | + | 88.2542i | 6.00494 | + | 6.00494i | ||||
\(217\) | 1.73391 | + | 2.86904i | 0.117705 | + | 0.194763i | ||||
\(218\) | 15.5185 | − | 8.95962i | 1.05105 | − | 0.606822i | ||||
\(219\) | 1.90596 | + | 36.3678i | 0.128793 | + | 2.45751i | ||||
\(220\) | −14.2471 | + | 3.02831i | −0.960539 | + | 0.204169i | ||||
\(221\) | −1.13103 | + | 14.6793i | −0.0760812 | + | 0.987438i | ||||
\(222\) | −43.9904 | + | 76.1936i | −2.95244 | + | 5.11378i | ||||
\(223\) | 2.67381 | + | 9.97879i | 0.179051 | + | 0.668229i | 0.995826 | + | 0.0912722i | \(0.0290933\pi\) |
−0.816775 | + | 0.576957i | \(0.804240\pi\) | |||||||
\(224\) | −1.54474 | − | 14.6972i | −0.103212 | − | 0.981999i | ||||
\(225\) | 11.5342 | + | 25.9062i | 0.768947 | + | 1.72708i | ||||
\(226\) | 18.2520 | + | 7.00629i | 1.21411 | + | 0.466052i | ||||
\(227\) | 7.42013 | − | 0.388873i | 0.492491 | − | 0.0258104i | 0.195526 | − | 0.980699i | \(-0.437359\pi\) |
0.296966 | + | 0.954888i | \(0.404025\pi\) | |||||||
\(228\) | −16.6687 | − | 43.4235i | −1.10391 | − | 2.87579i | ||||
\(229\) | −13.3412 | + | 0.699182i | −0.881611 | + | 0.0462033i | −0.487767 | − | 0.872974i | \(-0.662188\pi\) |
−0.393844 | + | 0.919177i | \(0.628855\pi\) | |||||||
\(230\) | −0.616055 | − | 2.89831i | −0.0406215 | − | 0.191109i | ||||
\(231\) | −2.07630 | − | 4.66345i | −0.136611 | − | 0.306833i | ||||
\(232\) | −53.0651 | − | 34.4609i | −3.48390 | − | 2.26247i | ||||
\(233\) | 18.9295 | + | 6.15057i | 1.24011 | + | 0.402937i | 0.854368 | − | 0.519668i | \(-0.173944\pi\) |
0.385745 | + | 0.922605i | \(0.373944\pi\) | |||||||
\(234\) | 60.9674 | − | 33.2324i | 3.98556 | − | 2.17247i | ||||
\(235\) | 0.0952606 | + | 0.105798i | 0.00621412 | + | 0.00690148i | ||||
\(236\) | 0.346220 | + | 0.533133i | 0.0225370 | + | 0.0347040i | ||||
\(237\) | −0.267696 | + | 0.194493i | −0.0173887 | + | 0.0126337i | ||||
\(238\) | −4.53304 | + | 5.03445i | −0.293833 | + | 0.326335i | ||||
\(239\) | 4.55714 | − | 11.8718i | 0.294777 | − | 0.767921i | −0.703580 | − | 0.710616i | \(-0.748416\pi\) |
0.998357 | − | 0.0573042i | \(-0.0182505\pi\) | |||||||
\(240\) | 17.6959 | − | 46.0994i | 1.14227 | − | 2.97570i | ||||
\(241\) | −14.7129 | − | 2.33029i | −0.947740 | − | 0.150107i | −0.336616 | − | 0.941642i | \(-0.609282\pi\) |
−0.611124 | + | 0.791535i | \(0.709282\pi\) | |||||||
\(242\) | 10.1238 | + | 2.71267i | 0.650783 | + | 0.174377i | ||||
\(243\) | −18.9198 | + | 10.9234i | −1.21371 | + | 0.700734i | ||||
\(244\) | −24.5180 | − | 10.9161i | −1.56960 | − | 0.698833i | ||||
\(245\) | 6.43504 | + | 0.337246i | 0.411120 | + | 0.0215459i | ||||
\(246\) | 24.8467 | + | 76.4703i | 1.58417 | + | 4.87557i | ||||
\(247\) | −9.45720 | + | 0.759931i | −0.601747 | + | 0.0483532i | ||||
\(248\) | −36.0548 | + | 41.6915i | −2.28948 | + | 2.64741i | ||||
\(249\) | 4.33647 | − | 16.1839i | 0.274813 | − | 1.02562i | ||||
\(250\) | 16.2129 | − | 18.0062i | 1.02539 | − | 1.13881i | ||||
\(251\) | 4.98828 | − | 15.3523i | 0.314857 | − | 0.969032i | −0.660956 | − | 0.750425i | \(-0.729849\pi\) |
0.975813 | − | 0.218607i | \(-0.0701511\pi\) | |||||||
\(252\) | 23.2445 | + | 3.68156i | 1.46426 | + | 0.231917i | ||||
\(253\) | 0.769044 | − | 2.87011i | 0.0483494 | − | 0.180442i | ||||
\(254\) | 9.37388 | + | 9.37388i | 0.588170 | + | 0.588170i | ||||
\(255\) | −11.6970 | + | 4.49007i | −0.732497 | + | 0.281179i | ||||
\(256\) | 57.5341 | − | 25.6158i | 3.59588 | − | 1.60099i | ||||
\(257\) | 9.67599 | − | 13.3179i | 0.603572 | − | 0.830745i | −0.392458 | − | 0.919770i | \(-0.628375\pi\) |
0.996029 | + | 0.0890247i | \(0.0283750\pi\) | |||||||
\(258\) | −66.1222 | − | 33.6910i | −4.11659 | − | 2.09751i | ||||
\(259\) | 0.635802 | + | 6.04925i | 0.0395068 | + | 0.375882i | ||||
\(260\) | −15.5507 | − | 11.8920i | −0.964415 | − | 0.737508i | ||||
\(261\) | 33.1960 | − | 29.8898i | 2.05478 | − | 1.85013i | ||||
\(262\) | −42.9752 | − | 16.4966i | −2.65502 | − | 1.01917i | ||||
\(263\) | −0.704382 | − | 3.31386i | −0.0434341 | − | 0.204341i | 0.951080 | − | 0.308945i | \(-0.0999759\pi\) |
−0.994514 | + | 0.104604i | \(0.966643\pi\) | |||||||
\(264\) | 62.3753 | − | 56.1630i | 3.83894 | − | 3.45659i | ||||
\(265\) | −0.0984933 | − | 0.121629i | −0.00605040 | − | 0.00747162i | ||||
\(266\) | −3.66133 | − | 2.37769i | −0.224490 | − | 0.145786i | ||||
\(267\) | 47.5201 | + | 24.2127i | 2.90818 | + | 1.48179i | ||||
\(268\) | 11.2436 | + | 9.10486i | 0.686810 | + | 0.556168i | ||||
\(269\) | −12.0089 | − | 10.8129i | −0.732198 | − | 0.659274i | 0.216203 | − | 0.976348i | \(-0.430633\pi\) |
−0.948401 | + | 0.317075i | \(0.897299\pi\) | |||||||
\(270\) | 27.2852 | + | 19.8239i | 1.66053 | + | 1.20644i | ||||
\(271\) | 13.0685 | − | 10.5826i | 0.793852 | − | 0.642849i | −0.144119 | − | 0.989560i | \(-0.546035\pi\) |
0.937972 | + | 0.346711i | \(0.112702\pi\) | |||||||
\(272\) | −60.0328 | − | 26.7283i | −3.64003 | − | 1.62064i | ||||
\(273\) | 2.94360 | − | 6.19756i | 0.178155 | − | 0.375094i | ||||
\(274\) | 34.4448 | + | 19.8867i | 2.08088 | + | 1.20140i | ||||
\(275\) | 10.1617 | − | 3.90070i | 0.612772 | − | 0.235221i | ||||
\(276\) | 13.1007 | + | 14.5498i | 0.788570 | + | 0.875795i | ||||
\(277\) | −12.4828 | − | 2.65330i | −0.750020 | − | 0.159422i | −0.182985 | − | 0.983116i | \(-0.558576\pi\) |
−0.567035 | + | 0.823694i | \(0.691909\pi\) | |||||||
\(278\) | −35.3144 | + | 35.3144i | −2.11802 | + | 2.11802i | ||||
\(279\) | −21.8426 | − | 32.2047i | −1.30768 | − | 1.92805i | ||||
\(280\) | −1.49769 | − | 5.58944i | −0.0895039 | − | 0.334033i | ||||
\(281\) | −17.6138 | − | 8.97469i | −1.05075 | − | 0.535385i | −0.158705 | − | 0.987326i | \(-0.550732\pi\) |
−0.892048 | + | 0.451941i | \(0.850732\pi\) | |||||||
\(282\) | −1.21458 | − | 0.394641i | −0.0723272 | − | 0.0235005i | ||||
\(283\) | 2.77228 | − | 6.22663i | 0.164795 | − | 0.370135i | −0.812206 | − | 0.583371i | \(-0.801734\pi\) |
0.977001 | + | 0.213236i | \(0.0684002\pi\) | |||||||
\(284\) | −1.69794 | + | 1.69794i | −0.100754 | + | 0.100754i | ||||
\(285\) | −4.03704 | − | 6.99236i | −0.239134 | − | 0.414191i | ||||
\(286\) | −11.5134 | − | 24.0366i | −0.680801 | − | 1.42132i | ||||
\(287\) | 4.49722 | + | 3.26742i | 0.265462 | + | 0.192870i | ||||
\(288\) | 26.8355 | + | 169.433i | 1.58130 | + | 9.98393i | ||||
\(289\) | −0.100743 | − | 0.310056i | −0.00592608 | − | 0.0182386i | ||||
\(290\) | −15.6195 | − | 6.95426i | −0.917210 | − | 0.408368i | ||||
\(291\) | 1.37456 | + | 26.2281i | 0.0805779 | + | 1.53752i | ||||
\(292\) | −35.0981 | + | 54.0463i | −2.05396 | + | 3.16282i | ||||
\(293\) | 18.1108 | − | 2.86846i | 1.05804 | − | 0.167577i | 0.396918 | − | 0.917854i | \(-0.370080\pi\) |
0.661124 | + | 0.750277i | \(0.270080\pi\) | |||||||
\(294\) | −51.5045 | + | 26.2428i | −3.00380 | + | 1.53051i | ||||
\(295\) | 0.0738371 | + | 0.0820044i | 0.00429896 | + | 0.00477448i | ||||
\(296\) | −91.3649 | + | 40.6783i | −5.31048 | + | 2.36438i | ||||
\(297\) | 15.3543 | + | 30.1346i | 0.890949 | + | 1.74859i | ||||
\(298\) | −33.7535 | − | 30.3918i | −1.95529 | − | 1.76055i | ||||
\(299\) | 3.60179 | − | 1.72523i | 0.208297 | − | 0.0997728i | ||||
\(300\) | −14.9115 | + | 70.1530i | −0.860915 | + | 4.05029i | ||||
\(301\) | −5.06741 | + | 0.802599i | −0.292081 | + | 0.0462611i | ||||
\(302\) | −38.1436 | − | 4.00906i | −2.19492 | − | 0.230695i | ||||
\(303\) | 20.3658 | − | 14.7966i | 1.16999 | − | 0.850045i | ||||
\(304\) | 10.9603 | − | 40.9045i | 0.628618 | − | 2.34603i | ||||
\(305\) | −4.50006 | − | 1.20579i | −0.257673 | − | 0.0690432i | ||||
\(306\) | 49.4888 | − | 61.1136i | 2.82909 | − | 3.49363i | ||||
\(307\) | −3.45938 | + | 5.32697i | −0.197437 | + | 0.304027i | −0.923497 | − | 0.383604i | \(-0.874683\pi\) |
0.726060 | + | 0.687631i | \(0.241349\pi\) | |||||||
\(308\) | 1.87810 | − | 8.83575i | 0.107014 | − | 0.503463i | ||||
\(309\) | 2.41698 | + | 4.18634i | 0.137497 | + | 0.238153i | ||||
\(310\) | −7.86044 | + | 12.6513i | −0.446443 | + | 0.718547i | ||||
\(311\) | − | 5.91740i | − | 0.335545i | −0.985826 | − | 0.167772i | \(-0.946343\pi\) | ||
0.985826 | − | 0.167772i | \(-0.0536574\pi\) | |||||||
\(312\) | 111.871 | + | 14.5412i | 6.33344 | + | 0.823232i | ||||
\(313\) | 1.50030 | + | 7.05838i | 0.0848022 | + | 0.398963i | 0.999992 | − | 0.00406069i | \(-0.00129256\pi\) |
−0.915190 | + | 0.403024i | \(0.867959\pi\) | |||||||
\(314\) | 21.2597 | + | 55.3833i | 1.19975 | + | 3.12546i | ||||
\(315\) | 4.08526 | 0.230178 | ||||||||
\(316\) | −0.585526 | −0.0329384 | ||||||||
\(317\) | −5.49496 | − | 14.3149i | −0.308628 | − | 0.804003i | −0.996909 | − | 0.0785593i | \(-0.974968\pi\) |
0.688282 | − | 0.725444i | \(-0.258365\pi\) | |||||||
\(318\) | 1.31070 | + | 0.503131i | 0.0735005 | + | 0.0282142i | ||||
\(319\) | −10.7901 | − | 13.3246i | −0.604127 | − | 0.746035i | ||||
\(320\) | 28.8612 | − | 18.7427i | 1.61339 | − | 1.04775i | ||||
\(321\) | 1.90052 | − | 4.26864i | 0.106077 | − | 0.238252i | ||||
\(322\) | 1.79747 | + | 0.382064i | 0.100169 | + | 0.0212916i | ||||
\(323\) | −9.57390 | + | 4.87815i | −0.532706 | + | 0.271427i | ||||
\(324\) | −105.009 | − | 11.0369i | −5.83382 | − | 0.613160i | ||||
\(325\) | 12.8681 | + | 6.95946i | 0.713793 | + | 0.386041i | ||||
\(326\) | 6.77131 | − | 20.8399i | 0.375028 | − | 1.15422i | ||||
\(327\) | −7.36566 | + | 19.1882i | −0.407322 | + | 1.06111i | ||||
\(328\) | −28.2443 | + | 86.9270i | −1.55953 | + | 4.79974i | ||||
\(329\) | −0.0839703 | + | 0.0272836i | −0.00462943 | + | 0.00150419i | ||||
\(330\) | 14.2735 | − | 17.6263i | 0.785731 | − | 0.970297i | ||||
\(331\) | 0.402727 | + | 7.68449i | 0.0221359 | + | 0.422378i | 0.987111 | + | 0.160037i | \(0.0511612\pi\) |
−0.964975 | + | 0.262341i | \(0.915505\pi\) | |||||||
\(332\) | 23.0412 | − | 18.6584i | 1.26455 | − | 1.02401i | ||||
\(333\) | −11.0453 | − | 69.7371i | −0.605277 | − | 3.82157i | ||||
\(334\) | −10.0715 | − | 13.8622i | −0.551088 | − | 0.758508i | ||||
\(335\) | 2.17496 | + | 1.25572i | 0.118831 | + | 0.0686070i | ||||
\(336\) | 21.6544 | + | 21.6544i | 1.18134 | + | 1.18134i | ||||
\(337\) | 3.61602 | − | 2.62719i | 0.196977 | − | 0.143112i | −0.484925 | − | 0.874556i | \(-0.661153\pi\) |
0.681902 | + | 0.731443i | \(0.261153\pi\) | |||||||
\(338\) | 14.4623 | − | 32.7721i | 0.786644 | − | 1.78257i | ||||
\(339\) | −21.3269 | + | 6.92954i | −1.15832 | + | 0.376361i | ||||
\(340\) | −21.4156 | − | 5.73828i | −1.16142 | − | 0.311202i | ||||
\(341\) | −12.7830 | + | 7.72542i | −0.692237 | + | 0.418355i | ||||
\(342\) | 43.8869 | + | 25.3381i | 2.37313 | + | 1.37013i | ||||
\(343\) | −3.72770 | + | 7.31603i | −0.201277 | + | 0.395028i | ||||
\(344\) | −38.2979 | − | 75.1639i | −2.06489 | − | 4.05257i | ||||
\(345\) | 2.64123 | + | 2.13883i | 0.142199 | + | 0.115150i | ||||
\(346\) | 3.75160 | + | 14.0012i | 0.201687 | + | 0.752706i | ||||
\(347\) | 34.2073i | 1.83634i | 0.396185 | + | 0.918171i | \(0.370334\pi\) | ||||
−0.396185 | + | 0.918171i | \(0.629666\pi\) | |||||||
\(348\) | 112.356 | − | 11.8091i | 6.02289 | − | 0.633032i | ||||
\(349\) | −12.3714 | − | 15.2774i | −0.662225 | − | 0.817780i | 0.329769 | − | 0.944062i | \(-0.393029\pi\) |
−0.991994 | + | 0.126282i | \(0.959696\pi\) | |||||||
\(350\) | 2.73797 | + | 6.14959i | 0.146351 | + | 0.328709i | ||||
\(351\) | −17.3266 | + | 42.0252i | −0.924826 | + | 2.24314i | ||||
\(352\) | 65.4834 | − | 6.88258i | 3.49028 | − | 0.366843i | ||||
\(353\) | −2.72098 | + | 1.76702i | −0.144823 | + | 0.0940491i | −0.615017 | − | 0.788514i | \(-0.710851\pi\) |
0.470194 | + | 0.882563i | \(0.344184\pi\) | |||||||
\(354\) | −0.941429 | − | 0.305889i | −0.0500364 | − | 0.0162578i | ||||
\(355\) | −0.245005 | + | 0.337220i | −0.0130035 | + | 0.0178978i | ||||
\(356\) | 42.8455 | + | 84.0889i | 2.27080 | + | 4.45670i | ||||
\(357\) | 0.406669 | − | 7.75971i | 0.0215232 | − | 0.410687i | ||||
\(358\) | −7.86890 | − | 49.6823i | −0.415884 | − | 2.62579i | ||||
\(359\) | 24.0113 | + | 1.25838i | 1.26727 | + | 0.0664146i | 0.674084 | − | 0.738654i | \(-0.264538\pi\) |
0.593181 | + | 0.805069i | \(0.297872\pi\) | |||||||
\(360\) | 20.7570 | + | 63.8834i | 1.09399 | + | 3.36695i | ||||
\(361\) | 7.09791 | + | 9.76943i | 0.373574 | + | 0.514181i | ||||
\(362\) | 13.1767 | − | 25.8607i | 0.692550 | − | 1.35921i | ||||
\(363\) | −10.9823 | + | 4.88963i | −0.576421 | + | 0.256639i | ||||
\(364\) | 10.6602 | − | 5.81070i | 0.558746 | − | 0.304564i | ||||
\(365\) | −4.54996 | + | 10.2194i | −0.238156 | + | 0.534907i | ||||
\(366\) | 40.3679 | − | 10.8165i | 2.11006 | − | 0.565390i | ||||
\(367\) | − | 33.7345i | − | 1.76093i | −0.474114 | − | 0.880463i | \(-0.657232\pi\) | ||
0.474114 | − | 0.880463i | \(-0.342768\pi\) | |||||||
\(368\) | 1.86326 | + | 17.7277i | 0.0971289 | + | 0.924120i | ||||
\(369\) | −54.1171 | − | 35.1441i | −2.81722 | − | 1.82953i | ||||
\(370\) | −22.6652 | + | 14.7190i | −1.17831 | + | 0.765203i | ||||
\(371\) | 0.0937553 | − | 0.0251217i | 0.00486753 | − | 0.00130425i | ||||
\(372\) | 3.18273 | − | 98.3645i | 0.165017 | − | 5.09996i | ||||
\(373\) | −12.3252 | + | 21.3478i | −0.638173 | + | 1.10535i | 0.347660 | + | 0.937621i | \(0.386976\pi\) |
−0.985833 | + | 0.167728i | \(0.946357\pi\) | |||||||
\(374\) | −22.4310 | − | 20.1969i | −1.15988 | − | 1.04436i | ||||
\(375\) | −1.45450 | + | 27.7534i | −0.0751099 | + | 1.43318i | ||||
\(376\) | −0.853297 | − | 1.17446i | −0.0440054 | − | 0.0605683i | ||||
\(377\) | 4.16230 | − | 22.6655i | 0.214370 | − | 1.16733i | ||||
\(378\) | −18.1141 | + | 10.4582i | −0.931691 | + | 0.537912i | ||||
\(379\) | 11.0499 | − | 13.6455i | 0.567597 | − | 0.700923i | −0.409839 | − | 0.912158i | \(-0.634415\pi\) |
0.977435 | + | 0.211235i | \(0.0677484\pi\) | |||||||
\(380\) | 1.49344 | − | 14.2092i | 0.0766121 | − | 0.728915i | ||||
\(381\) | −15.1221 | − | 1.58940i | −0.774728 | − | 0.0814272i | ||||
\(382\) | −2.51081 | − | 3.86631i | −0.128464 | − | 0.197818i | ||||
\(383\) | −14.9664 | + | 5.74507i | −0.764748 | + | 0.293559i | −0.709304 | − | 0.704903i | \(-0.750991\pi\) |
−0.0554437 | + | 0.998462i | \(0.517657\pi\) | |||||||
\(384\) | −69.7112 | + | 136.816i | −3.55743 | + | 6.98186i | ||||
\(385\) | 0.0820652 | − | 1.56590i | 0.00418243 | − | 0.0798055i | ||||
\(386\) | −8.63120 | − | 6.27094i | −0.439317 | − | 0.319182i | ||||
\(387\) | 58.2542 | − | 12.3823i | 2.96123 | − | 0.629429i | ||||
\(388\) | −25.3123 | + | 38.9776i | −1.28504 | + | 1.97879i | ||||
\(389\) | −1.60753 | + | 15.2947i | −0.0815052 | + | 0.775470i | 0.875072 | + | 0.483992i | \(0.160814\pi\) |
−0.956578 | + | 0.291478i | \(0.905853\pi\) | |||||||
\(390\) | 30.4724 | − | 0.848039i | 1.54303 | − | 0.0429421i | ||||
\(391\) | 3.02642 | − | 3.36118i | 0.153053 | − | 0.169982i | ||||
\(392\) | −64.9002 | − | 10.2792i | −3.27795 | − | 0.519177i | ||||
\(393\) | 50.2152 | − | 16.3159i | 2.53302 | − | 0.823029i | ||||
\(394\) | −2.48515 | + | 23.6446i | −0.125200 | + | 1.19120i | ||||
\(395\) | −0.100389 | + | 0.0159000i | −0.00505112 | + | 0.000800018i | ||||
\(396\) | −16.4032 | + | 103.566i | −0.824291 | + | 5.20437i | ||||
\(397\) | −3.07310 | + | 3.07310i | −0.154235 | + | 0.154235i | −0.780006 | − | 0.625772i | \(-0.784784\pi\) |
0.625772 | + | 0.780006i | \(0.284784\pi\) | |||||||
\(398\) | 17.2663 | − | 4.62648i | 0.865480 | − | 0.231905i | ||||
\(399\) | 4.97994 | − | 0.523413i | 0.249309 | − | 0.0262034i | ||||
\(400\) | −48.5255 | + | 43.6925i | −2.42627 | + | 2.18463i | ||||
\(401\) | −11.9336 | + | 0.625411i | −0.595933 | + | 0.0312315i | −0.347919 | − | 0.937525i | \(-0.613111\pi\) |
−0.248015 | + | 0.968756i | \(0.579778\pi\) | |||||||
\(402\) | −22.5288 | −1.12364 | ||||||||
\(403\) | −19.0641 | − | 6.28976i | −0.949649 | − | 0.313315i | ||||
\(404\) | 44.5457 | 2.21623 | ||||||||
\(405\) | −18.3036 | + | 0.959249i | −0.909511 | + | 0.0476655i | ||||
\(406\) | 7.88003 | − | 7.09521i | 0.391079 | − | 0.352129i | ||||
\(407\) | −26.9524 | + | 2.83281i | −1.33598 | + | 0.140417i | ||||
\(408\) | 123.409 | − | 33.0674i | 6.10966 | − | 1.63708i | ||||
\(409\) | 8.36063 | − | 8.36063i | 0.413407 | − | 0.413407i | −0.469517 | − | 0.882924i | \(-0.655572\pi\) |
0.882924 | + | 0.469517i | \(0.155572\pi\) | |||||||
\(410\) | −3.86367 | + | 24.3943i | −0.190813 | + | 1.20475i | ||||
\(411\) | −45.0584 | + | 7.13654i | −2.22256 | + | 0.352020i | ||||
\(412\) | −0.894128 | + | 8.50706i | −0.0440505 | + | 0.419113i | ||||
\(413\) | −0.0650859 | + | 0.0211477i | −0.00320267 | + | 0.00104061i | ||||
\(414\) | −21.0685 | − | 3.33693i | −1.03546 | − | 0.164001i | ||||
\(415\) | 3.44376 | − | 3.82468i | 0.169047 | − | 0.187746i | ||||
\(416\) | 64.2940 | + | 60.8124i | 3.15228 | + | 2.98157i | ||||
\(417\) | 5.98776 | − | 56.9698i | 0.293222 | − | 2.78982i | ||||
\(418\) | 10.5938 | − | 16.3130i | 0.518160 | − | 0.797896i | ||||
\(419\) | −2.53955 | + | 0.539799i | −0.124065 | + | 0.0263709i | −0.269526 | − | 0.962993i | \(-0.586867\pi\) |
0.145461 | + | 0.989364i | \(0.453534\pi\) | |||||||
\(420\) | 8.35882 | + | 6.07304i | 0.407869 | + | 0.296334i | ||||
\(421\) | 0.554852 | − | 10.5872i | 0.0270418 | − | 0.515989i | −0.951207 | − | 0.308554i | \(-0.900155\pi\) |
0.978249 | − | 0.207435i | \(-0.0665117\pi\) | |||||||
\(422\) | 27.2114 | − | 53.4054i | 1.32463 | − | 2.59973i | ||||
\(423\) | 0.956815 | − | 0.367287i | 0.0465219 | − | 0.0178581i | ||||
\(424\) | 0.869206 | + | 1.33846i | 0.0422124 | + | 0.0650014i | ||||
\(425\) | 16.4775 | + | 1.73186i | 0.799277 | + | 0.0840074i | ||||
\(426\) | 0.390848 | − | 3.71867i | 0.0189367 | − | 0.180170i | ||||
\(427\) | 1.81829 | − | 2.24540i | 0.0879933 | − | 0.108663i | ||||
\(428\) | 7.16063 | − | 4.13419i | 0.346122 | − | 0.199834i | ||||
\(429\) | 27.6132 | + | 13.1152i | 1.33318 | + | 0.633208i | ||||
\(430\) | −13.3988 | − | 18.4419i | −0.646149 | − | 0.889347i | ||||
\(431\) | −0.534322 | + | 10.1955i | −0.0257374 | + | 0.491098i | 0.955102 | + | 0.296278i | \(0.0957456\pi\) |
−0.980839 | + | 0.194820i | \(0.937588\pi\) | |||||||
\(432\) | −150.779 | − | 135.762i | −7.25436 | − | 6.53185i | ||||
\(433\) | −1.21934 | + | 2.11196i | −0.0585979 | + | 0.101494i | −0.893836 | − | 0.448394i | \(-0.851996\pi\) |
0.835238 | + | 0.549888i | \(0.185330\pi\) | |||||||
\(434\) | −5.18496 | − | 7.64471i | −0.248886 | − | 0.366958i | ||||
\(435\) | 18.9428 | − | 5.07571i | 0.908238 | − | 0.243362i | ||||
\(436\) | −30.5025 | + | 19.8085i | −1.46080 | + | 0.948657i | ||||
\(437\) | 2.44444 | + | 1.58744i | 0.116933 | + | 0.0759374i | ||||
\(438\) | −10.4893 | − | 99.7990i | −0.501198 | − | 4.76858i | ||||
\(439\) | 13.2095i | 0.630454i | 0.949016 | + | 0.315227i | \(0.102081\pi\) | ||||
−0.949016 | + | 0.315227i | \(0.897919\pi\) | |||||||
\(440\) | 24.9037 | − | 6.67294i | 1.18724 | − | 0.318120i | ||||
\(441\) | 18.8683 | − | 42.3790i | 0.898493 | − | 2.01805i | ||||
\(442\) | 0.995345 | − | 40.5564i | 0.0473437 | − | 1.92907i | ||||
\(443\) | 7.88087 | − | 3.50879i | 0.374431 | − | 0.166708i | −0.210888 | − | 0.977510i | \(-0.567636\pi\) |
0.585320 | + | 0.810803i | \(0.300969\pi\) | |||||||
\(444\) | 81.0697 | − | 159.108i | 3.84740 | − | 7.55095i | ||||
\(445\) | 9.62934 | + | 13.2536i | 0.456475 | + | 0.628283i | ||||
\(446\) | −8.79661 | − | 27.0732i | −0.416531 | − | 1.28195i | ||||
\(447\) | 52.0250 | + | 2.72652i | 2.46070 | + | 0.128960i | ||||
\(448\) | 3.33866 | + | 21.0795i | 0.157737 | + | 0.995911i | ||||
\(449\) | 0.308107 | − | 5.87903i | 0.0145405 | − | 0.277448i | −0.981677 | − | 0.190553i | \(-0.938972\pi\) |
0.996217 | − | 0.0868957i | \(-0.0276947\pi\) | |||||||
\(450\) | −35.4748 | − | 69.6232i | −1.67230 | − | 3.28207i | ||||
\(451\) | −14.5580 | + | 20.0373i | −0.685508 | + | 0.943521i | ||||
\(452\) | −37.7389 | − | 12.2621i | −1.77509 | − | 0.576762i | ||||
\(453\) | 36.8945 | − | 23.9596i | 1.73346 | − | 1.12572i | ||||
\(454\) | −20.3620 | + | 2.14013i | −0.955635 | + | 0.100441i | ||||
\(455\) | 1.66991 | − | 1.28573i | 0.0782865 | − | 0.0602759i | ||||
\(456\) | 33.4877 | + | 75.2146i | 1.56821 | + | 3.52225i | ||||
\(457\) | −3.13256 | − | 3.86839i | −0.146535 | − | 0.180956i | 0.698594 | − | 0.715519i | \(-0.253810\pi\) |
−0.845129 | + | 0.534563i | \(0.820476\pi\) | |||||||
\(458\) | 36.6103 | − | 3.84790i | 1.71069 | − | 0.179800i | ||||
\(459\) | 51.4811i | 2.40293i | ||||||||
\(460\) | 1.55654 | + | 5.80910i | 0.0725742 | + | 0.270851i | ||||
\(461\) | −10.0535 | − | 8.14113i | −0.468236 | − | 0.379170i | 0.365966 | − | 0.930628i | \(-0.380738\pi\) |
−0.834203 | + | 0.551458i | \(0.814072\pi\) | |||||||
\(462\) | 6.38591 | + | 12.5331i | 0.297099 | + | 0.583090i | ||||
\(463\) | 6.59043 | − | 12.9344i | 0.306283 | − | 0.601115i | −0.685642 | − | 0.727939i | \(-0.740478\pi\) |
0.991925 | + | 0.126824i | \(0.0404784\pi\) | |||||||
\(464\) | 89.0770 | + | 51.4286i | 4.13530 | + | 2.38751i | ||||
\(465\) | −2.12542 | − | 16.9511i | −0.0985640 | − | 0.786089i | ||||
\(466\) | −52.9755 | − | 14.1948i | −2.45404 | − | 0.657559i | ||||
\(467\) | −14.3855 | + | 4.67412i | −0.665680 | + | 0.216293i | −0.622315 | − | 0.782767i | \(-0.713808\pi\) |
−0.0433650 | + | 0.999059i | \(0.513808\pi\) | |||||||
\(468\) | −120.044 | + | 73.8344i | −5.54902 | + | 3.41299i | ||||
\(469\) | −1.26007 | + | 0.915497i | −0.0581848 | + | 0.0422737i | ||||
\(470\) | −0.277387 | − | 0.277387i | −0.0127949 | − | 0.0127949i | ||||
\(471\) | −58.9279 | − | 34.0220i | −2.71525 | − | 1.56765i | ||||
\(472\) | −0.661396 | − | 0.910333i | −0.0304432 | − | 0.0419015i | ||||
\(473\) | −3.57598 | − | 22.5778i | −0.164424 | − | 1.03813i | ||||
\(474\) | 0.708575 | − | 0.573793i | 0.0325459 | − | 0.0263552i | ||||
\(475\) | 0.558787 | + | 10.6623i | 0.0256389 | + | 0.489219i | ||||
\(476\) | 8.65315 | − | 10.6858i | 0.396617 | − | 0.489781i | ||||
\(477\) | −1.07156 | + | 0.348170i | −0.0490632 | + | 0.0159416i | ||||
\(478\) | −10.8279 | + | 33.3249i | −0.495257 | + | 1.52424i | ||||
\(479\) | 7.32026 | − | 19.0699i | 0.334471 | − | 0.871328i | −0.658458 | − | 0.752618i | \(-0.728791\pi\) |
0.992929 | − | 0.118710i | \(-0.0378758\pi\) | |||||||
\(480\) | −23.2728 | + | 71.6262i | −1.06225 | + | 3.26927i | ||||
\(481\) | −26.4629 | − | 25.0298i | −1.20660 | − | 1.14126i | ||||
\(482\) | 40.8217 | + | 4.29053i | 1.85938 | + | 0.195428i | ||||
\(483\) | −1.87802 | + | 0.956901i | −0.0854531 | + | 0.0435405i | ||||
\(484\) | −20.8079 | − | 4.42286i | −0.945815 | − | 0.201039i | ||||
\(485\) | −3.28138 | + | 7.37011i | −0.149000 | + | 0.334659i | ||||
\(486\) | 50.4866 | − | 32.7864i | 2.29012 | − | 1.48722i | ||||
\(487\) | 11.0571 | + | 13.6544i | 0.501046 | + | 0.618741i | 0.963437 | − | 0.267936i | \(-0.0863415\pi\) |
−0.462390 | + | 0.886676i | \(0.653008\pi\) | |||||||
\(488\) | 44.3512 | + | 17.0248i | 2.00769 | + | 0.770678i | ||||
\(489\) | 9.00704 | + | 23.4641i | 0.407312 | + | 1.06109i | ||||
\(490\) | −17.7560 | −0.802135 | ||||||||
\(491\) | −16.3529 | −0.737998 | −0.368999 | − | 0.929430i | \(-0.620299\pi\) | ||||
−0.368999 | + | 0.929430i | \(0.620299\pi\) | |||||||
\(492\) | −58.4844 | − | 152.357i | −2.63668 | − | 6.86879i | ||||
\(493\) | −5.42618 | − | 25.5282i | −0.244383 | − | 1.14973i | ||||
\(494\) | 25.9139 | − | 3.45494i | 1.16592 | − | 0.155445i | ||||
\(495\) | 18.2018i | 0.818112i | ||||||||
\(496\) | 54.9837 | − | 70.7487i | 2.46884 | − | 3.17671i | ||||
\(497\) | −0.129254 | − | 0.223874i | −0.00579782 | − | 0.0100421i | ||||
\(498\) | −9.59882 | + | 45.1589i | −0.430134 | + | 2.02362i | ||||
\(499\) | −17.6283 | + | 27.1452i | −0.789152 | + | 1.21519i | 0.183522 | + | 0.983016i | \(0.441250\pi\) |
−0.972675 | + | 0.232173i | \(0.925417\pi\) | |||||||
\(500\) | −30.9489 | + | 38.2187i | −1.38408 | + | 1.70919i | ||||
\(501\) | 18.9838 | + | 5.08669i | 0.848132 | + | 0.227256i | ||||
\(502\) | −11.5123 | + | 42.9646i | −0.513821 | + | 1.91760i | ||||
\(503\) | 31.3138 | − | 22.7508i | 1.39621 | − | 1.01441i | 0.401061 | − | 0.916051i | \(-0.368642\pi\) |
0.995151 | − | 0.0983561i | \(-0.0313584\pi\) | |||||||
\(504\) | −41.4298 | − | 4.35445i | −1.84543 | − | 0.193963i | ||||
\(505\) | 7.63741 | − | 1.20965i | 0.339860 | − | 0.0538286i | ||||
\(506\) | −1.70229 | + | 8.00863i | −0.0756758 | + | 0.356027i | ||||
\(507\) | 10.7644 | + | 39.6519i | 0.478065 | + | 1.76100i | ||||
\(508\) | −19.9955 | − | 18.0040i | −0.887157 | − | 0.798800i | ||||
\(509\) | 10.2573 | + | 20.1310i | 0.454645 | + | 0.892291i | 0.998586 | + | 0.0531675i | \(0.0169317\pi\) |
−0.543940 | + | 0.839124i | \(0.683068\pi\) | |||||||
\(510\) | 31.5394 | − | 14.0422i | 1.39659 | − | 0.621801i | ||||
\(511\) | −4.64218 | − | 5.15567i | −0.205358 | − | 0.228073i | ||||
\(512\) | −68.0457 | + | 34.6710i | −3.00722 | + | 1.53226i | ||||
\(513\) | −32.7670 | + | 5.18979i | −1.44670 | + | 0.229135i | ||||
\(514\) | −24.7050 | + | 38.0423i | −1.08969 | + | 1.67797i | ||||
\(515\) | 0.0777115 | + | 1.48282i | 0.00342438 | + | 0.0653410i | ||||
\(516\) | 137.601 | + | 61.2639i | 6.05754 | + | 2.69699i | ||||
\(517\) | −0.121562 | − | 0.374129i | −0.00534629 | − | 0.0164542i | ||||
\(518\) | −2.62191 | − | 16.5541i | −0.115200 | − | 0.727346i | ||||
\(519\) | −13.4506 | − | 9.77241i | −0.590414 | − | 0.428961i | ||||
\(520\) | 28.5904 | + | 19.5805i | 1.25377 | + | 0.858664i | ||||
\(521\) | −19.6394 | − | 34.0164i | −0.860416 | − | 1.49029i | −0.871527 | − | 0.490347i | \(-0.836870\pi\) |
0.0111110 | − | 0.999938i | \(-0.496463\pi\) | |||||||
\(522\) | −87.0355 | + | 87.0355i | −3.80944 | + | 3.80944i | ||||
\(523\) | −17.5493 | + | 39.4163i | −0.767375 | + | 1.72355i | −0.0805274 | + | 0.996752i | \(0.525660\pi\) |
−0.686848 | + | 0.726801i | \(0.741006\pi\) | |||||||
\(524\) | 88.8581 | + | 28.8717i | 3.88178 | + | 1.26127i | ||||
\(525\) | −6.87955 | − | 3.50530i | −0.300248 | − | 0.152984i | ||||
\(526\) | 2.41615 | + | 9.01720i | 0.105349 | + | 0.393169i | ||||
\(527\) | −22.6758 | + | 1.64402i | −0.987772 | + | 0.0716146i | ||||
\(528\) | −96.4809 | + | 96.4809i | −4.19879 | + | 4.19879i | ||||
\(529\) | 21.2973 | + | 4.52689i | 0.925971 | + | 0.196821i | ||||
\(530\) | 0.288566 | + | 0.320485i | 0.0125345 | + | 0.0139210i | ||||
\(531\) | 0.741633 | − | 0.284686i | 0.0321841 | − | 0.0123543i | ||||
\(532\) | 7.67365 | + | 4.43038i | 0.332695 | + | 0.192082i | ||||
\(533\) | −33.1818 | + | 2.66632i | −1.43727 | + | 0.115491i | ||||
\(534\) | −134.253 | − | 59.7735i | −5.80971 | − | 2.58665i | ||||
\(535\) | 1.11543 | − | 0.903258i | 0.0482243 | − | 0.0390513i | ||||
\(536\) | −20.7185 | − | 15.0529i | −0.894902 | − | 0.650184i | ||||
\(537\) | 42.8764 | + | 38.6061i | 1.85025 | + | 1.66597i | ||||
\(538\) | 34.6045 | + | 28.0222i | 1.49191 | + | 1.20812i | ||||
\(539\) | −15.8650 | − | 8.08363i | −0.683355 | − | 0.348187i | ||||
\(540\) | −57.4098 | − | 37.2823i | −2.47052 | − | 1.60438i | ||||
\(541\) | 13.7582 | + | 16.9900i | 0.591513 | + | 0.730458i | 0.981733 | − | 0.190264i | \(-0.0609344\pi\) |
−0.390220 | + | 0.920722i | \(0.627601\pi\) | |||||||
\(542\) | −34.4345 | + | 31.0050i | −1.47909 | + | 1.33178i | ||||
\(543\) | 6.92151 | + | 32.5631i | 0.297030 | + | 1.39742i | ||||
\(544\) | 93.5691 | + | 35.9178i | 4.01174 | + | 1.53996i | ||||
\(545\) | −4.69178 | + | 4.22449i | −0.200974 | + | 0.180957i | ||||
\(546\) | −7.20618 | + | 17.4784i | −0.308396 | + | 0.748007i | ||||
\(547\) | 0.820804 | + | 7.80943i | 0.0350951 | + | 0.333907i | 0.997956 | + | 0.0639085i | \(0.0203566\pi\) |
−0.962861 | + | 0.269999i | \(0.912977\pi\) | |||||||
\(548\) | −71.9280 | − | 36.6491i | −3.07261 | − | 1.56557i | ||||
\(549\) | −19.7137 | + | 27.1335i | −0.841358 | + | 1.15803i | ||||
\(550\) | −27.3995 | + | 12.1990i | −1.16832 | + | 0.520168i | ||||
\(551\) | 15.7013 | − | 6.02717i | 0.668899 | − | 0.256766i | ||||
\(552\) | −24.5057 | − | 24.5057i | −1.04303 | − | 1.04303i | ||||
\(553\) | 0.0163147 | − | 0.0608873i | 0.000693772 | − | 0.00258919i | ||||
\(554\) | 34.7318 | + | 5.50097i | 1.47561 | + | 0.233714i | ||||
\(555\) | 9.57887 | − | 29.4807i | 0.406600 | − | 1.25139i | ||||
\(556\) | 67.8270 | − | 75.3295i | 2.87650 | − | 3.19468i | ||||
\(557\) | −4.70222 | + | 17.5489i | −0.199239 | + | 0.743571i | 0.791889 | + | 0.610665i | \(0.209098\pi\) |
−0.991129 | + | 0.132907i | \(0.957569\pi\) | |||||||
\(558\) | 64.7488 | + | 85.4682i | 2.74103 | + | 3.61816i | ||||
\(559\) | 19.9153 | − | 23.3955i | 0.842326 | − | 0.989523i | ||||
\(560\) | 2.90686 | + | 8.94639i | 0.122837 | + | 0.378054i | ||||
\(561\) | 34.5734 | + | 1.81191i | 1.45969 | + | 0.0764990i | ||||
\(562\) | 49.7624 | + | 22.1557i | 2.09910 | + | 0.934580i | ||||
\(563\) | −18.7060 | + | 10.7999i | −0.788366 | + | 0.455163i | −0.839387 | − | 0.543534i | \(-0.817086\pi\) |
0.0510211 | + | 0.998698i | \(0.483752\pi\) | |||||||
\(564\) | 2.50373 | + | 0.670873i | 0.105426 | + | 0.0282489i | ||||
\(565\) | −6.80336 | − | 1.07755i | −0.286219 | − | 0.0453327i | ||||
\(566\) | −6.73056 | + | 17.5337i | −0.282906 | + | 0.736996i | ||||
\(567\) | 4.07359 | − | 10.6121i | 0.171075 | − | 0.445665i | ||||
\(568\) | 2.84411 | − | 3.15870i | 0.119336 | − | 0.132536i | ||||
\(569\) | −32.0071 | + | 23.2545i | −1.34181 | + | 0.974881i | −0.342433 | + | 0.939542i | \(0.611251\pi\) |
−0.999375 | + | 0.0353382i | \(0.988749\pi\) | |||||||
\(570\) | 12.1171 | + | 18.6588i | 0.507531 | + | 0.781530i | ||||
\(571\) | −28.0668 | − | 31.1714i | −1.17456 | − | 1.30448i | −0.943435 | − | 0.331557i | \(-0.892426\pi\) |
−0.231124 | − | 0.972924i | \(-0.574240\pi\) | |||||||
\(572\) | 25.8896 | + | 47.4964i | 1.08250 | + | 1.98593i | ||||
\(573\) | 5.02892 | + | 1.63400i | 0.210086 | + | 0.0682611i | ||||
\(574\) | −12.8463 | − | 8.34245i | −0.536192 | − | 0.348207i | ||||
\(575\) | −1.82797 | − | 4.10570i | −0.0762318 | − | 0.171219i | ||||
\(576\) | −51.5081 | − | 242.326i | −2.14617 | − | 10.0969i | ||||
\(577\) | −4.40852 | + | 0.231041i | −0.183529 | + | 0.00961836i | −0.143879 | − | 0.989595i | \(-0.545958\pi\) |
−0.0396501 | + | 0.999214i | \(0.512624\pi\) | |||||||
\(578\) | 0.321930 | + | 0.838657i | 0.0133905 | + | 0.0348835i | ||||
\(579\) | 12.2203 | − | 0.640438i | 0.507857 | − | 0.0266157i | ||||
\(580\) | 32.3977 | + | 12.4363i | 1.34524 | + | 0.516389i | ||||
\(581\) | 1.29823 | + | 2.91587i | 0.0538597 | + | 0.120971i | ||||
\(582\) | −7.56477 | − | 71.9739i | −0.313570 | − | 2.98342i | ||||
\(583\) | 0.111929 | + | 0.417726i | 0.00463564 | + | 0.0173005i | ||||
\(584\) | 57.0353 | − | 98.7880i | 2.36014 | − | 4.08788i | ||||
\(585\) | −18.5766 | + | 15.9188i | −0.768048 | + | 0.658160i | ||||
\(586\) | −49.4220 | + | 10.5050i | −2.04160 | + | 0.433956i | ||||
\(587\) | 1.32872 | + | 25.3534i | 0.0548420 | + | 1.04645i | 0.878008 | + | 0.478646i | \(0.158872\pi\) |
−0.823166 | + | 0.567801i | \(0.807794\pi\) | |||||||
\(588\) | 101.606 | − | 58.6622i | 4.19016 | − | 2.41919i | ||||
\(589\) | −3.33233 | − | 14.2671i | −0.137306 | − | 0.587865i | ||||
\(590\) | −0.215004 | − | 0.215004i | −0.00885159 | − | 0.00885159i | ||||
\(591\) | −14.8521 | − | 22.8703i | −0.610935 | − | 0.940758i | ||||
\(592\) | 144.860 | − | 73.8096i | 5.95369 | − | 3.03356i | ||||
\(593\) | 2.13342 | − | 13.4699i | 0.0876090 | − | 0.553141i | −0.904371 | − | 0.426747i | \(-0.859660\pi\) |
0.991980 | − | 0.126394i | \(-0.0403405\pi\) | |||||||
\(594\) | −46.5965 | − | 80.7075i | −1.91188 | − | 3.31147i | ||||
\(595\) | 1.19342 | − | 2.06706i | 0.0489254 | − | 0.0847412i | ||||
\(596\) | 71.6427 | + | 58.0151i | 2.93460 | + | 2.37639i | ||||
\(597\) | −12.0514 | + | 16.5873i | −0.493230 | + | 0.678872i | ||||
\(598\) | −9.66228 | + | 5.26676i | −0.395120 | + | 0.215374i | ||||
\(599\) | 42.8639 | + | 9.11100i | 1.75137 | + | 0.372265i | 0.968324 | − | 0.249697i | \(-0.0803310\pi\) |
0.783047 | + | 0.621962i | \(0.213664\pi\) | |||||||
\(600\) | 19.8597 | − | 125.389i | 0.810770 | − | 5.11900i | ||||
\(601\) | −5.03002 | + | 23.6644i | −0.205179 | + | 0.965290i | 0.748191 | + | 0.663484i | \(0.230923\pi\) |
−0.953369 | + | 0.301806i | \(0.902411\pi\) | |||||||
\(602\) | 13.8283 | − | 2.93930i | 0.563600 | − | 0.119797i | ||||
\(603\) | 14.0507 | − | 11.3780i | 0.572188 | − | 0.463349i | ||||
\(604\) | 77.7385 | + | 4.07410i | 3.16314 | + | 0.165773i | ||||
\(605\) | −3.68764 | − | 0.193261i | −0.149924 | − | 0.00785718i | ||||
\(606\) | −53.9071 | + | 43.6531i | −2.18983 | + | 1.77329i | ||||
\(607\) | 6.85805 | − | 1.45772i | 0.278360 | − | 0.0591672i | −0.0666163 | − | 0.997779i | \(-0.521220\pi\) |
0.344976 | + | 0.938611i | \(0.387887\pi\) | |||||||
\(608\) | −13.4285 | + | 63.1763i | −0.544599 | + | 2.56214i | ||||
\(609\) | −1.90261 | + | 12.0126i | −0.0770976 | + | 0.486775i | ||||
\(610\) | 12.5568 | + | 2.66902i | 0.508409 | + | 0.108066i | ||||
\(611\) | 0.275518 | − | 0.451267i | 0.0111463 | − | 0.0182563i | ||||
\(612\) | −93.8163 | + | 129.127i | −3.79230 | + | 5.21965i | ||||
\(613\) | 2.46514 | + | 1.99623i | 0.0995663 | + | 0.0806272i | 0.677811 | − | 0.735236i | \(-0.262929\pi\) |
−0.578245 | + | 0.815863i | \(0.696262\pi\) | |||||||
\(614\) | 8.75100 | − | 15.1572i | 0.353162 | − | 0.611694i | ||||
\(615\) | −14.1645 | − | 24.5336i | −0.571167 | − | 0.989291i | ||||
\(616\) | −2.50133 | + | 15.7927i | −0.100781 | + | 0.636308i | ||||
\(617\) | −24.8628 | + | 12.6682i | −1.00094 | + | 0.510003i | −0.876077 | − | 0.482171i | \(-0.839848\pi\) |
−0.124860 | + | 0.992174i | \(0.539848\pi\) | |||||||
\(618\) | −7.25456 | − | 11.1710i | −0.291821 | − | 0.449365i | ||||
\(619\) | −2.20440 | − | 2.20440i | −0.0886022 | − | 0.0886022i | 0.661417 | − | 0.750019i | \(-0.269956\pi\) |
−0.750019 | + | 0.661417i | \(0.769956\pi\) | |||||||
\(620\) | 14.5883 | − | 26.4777i | 0.585881 | − | 1.06337i | ||||
\(621\) | 12.0937 | − | 6.98228i | 0.485302 | − | 0.280189i | ||||
\(622\) | 0.853354 | + | 16.2830i | 0.0342164 | + | 0.652888i | ||||
\(623\) | −9.93800 | + | 2.11239i | −0.398158 | + | 0.0846310i | ||||
\(624\) | −182.847 | − | 14.0882i | −7.31972 | − | 0.563978i | ||||
\(625\) | 5.87534 | − | 10.1764i | 0.235014 | − | 0.407055i | ||||
\(626\) | −5.14630 | − | 19.2063i | −0.205688 | − | 0.767637i | ||||
\(627\) | 2.33206 | + | 22.1881i | 0.0931337 | + | 0.886108i | ||||
\(628\) | −48.9739 | − | 109.997i | −1.95427 | − | 4.38937i | ||||
\(629\) | −38.5122 | − | 14.7835i | −1.53558 | − | 0.589455i | ||||
\(630\) | −11.2415 | + | 0.589140i | −0.447870 | + | 0.0234719i | ||||
\(631\) | 12.3690 | + | 32.2223i | 0.492401 | + | 1.28275i | 0.924589 | + | 0.380966i | \(0.124408\pi\) |
−0.432188 | + | 0.901784i | \(0.642258\pi\) | |||||||
\(632\) | 1.03502 | − | 0.0542432i | 0.0411710 | − | 0.00215768i | ||||
\(633\) | 14.2937 | + | 67.2468i | 0.568125 | + | 2.67282i | ||||
\(634\) | 17.1849 | + | 38.5980i | 0.682500 | + | 1.53292i | ||||
\(635\) | −3.91715 | − | 2.54383i | −0.155447 | − | 0.100949i | ||||
\(636\) | −2.71009 | − | 0.880560i | −0.107462 | − | 0.0349165i | ||||
\(637\) | −5.62499 | − | 23.2614i | −0.222870 | − | 0.921649i | ||||
\(638\) | 31.6127 | + | 35.1094i | 1.25156 | + | 1.39000i | ||||
\(639\) | 1.63433 | + | 2.51664i | 0.0646529 | + | 0.0995568i | ||||
\(640\) | −38.1588 | + | 27.7240i | −1.50836 | + | 1.09589i | ||||
\(641\) | −7.16417 | + | 7.95662i | −0.282968 | + | 0.314268i | −0.867826 | − | 0.496868i | \(-0.834483\pi\) |
0.584858 | + | 0.811135i | \(0.301150\pi\) | |||||||
\(642\) | −4.61410 | + | 12.0201i | −0.182104 | + | 0.474397i | ||||
\(643\) | 2.00272 | − | 5.21727i | 0.0789797 | − | 0.205749i | −0.888405 | − | 0.459060i | \(-0.848186\pi\) |
0.967385 | + | 0.253311i | \(0.0815196\pi\) | |||||||
\(644\) | −3.68385 | − | 0.583464i | −0.145164 | − | 0.0229917i | ||||
\(645\) | 25.2554 | + | 6.76717i | 0.994432 | + | 0.266457i | ||||
\(646\) | 25.6412 | − | 14.8039i | 1.00884 | − | 0.582453i | ||||
\(647\) | 3.38282 | + | 1.50613i | 0.132992 | + | 0.0592120i | 0.472154 | − | 0.881516i | \(-0.343477\pi\) |
−0.339162 | + | 0.940728i | \(0.610143\pi\) | |||||||
\(648\) | 186.644 | + | 9.78161i | 7.33208 | + | 0.384258i | ||||
\(649\) | −0.0942235 | − | 0.289990i | −0.00369859 | − | 0.0113831i | ||||
\(650\) | −36.4129 | − | 17.2947i | −1.42823 | − | 0.678354i | ||||
\(651\) | 10.1400 | + | 3.07173i | 0.397417 | + | 0.120390i | ||||
\(652\) | −11.5109 | + | 42.9594i | −0.450803 | + | 1.68242i | ||||
\(653\) | 5.85230 | − | 6.49964i | 0.229018 | − | 0.254351i | −0.617673 | − | 0.786435i | \(-0.711924\pi\) |
0.846691 | + | 0.532084i | \(0.178591\pi\) | |||||||
\(654\) | 17.5010 | − | 53.8626i | 0.684344 | − | 2.10619i | ||||
\(655\) | 16.0188 | + | 2.53713i | 0.625907 | + | 0.0991339i | ||||
\(656\) | 38.4558 | − | 143.519i | 1.50145 | − | 5.60347i | ||||
\(657\) | 56.9447 | + | 56.9447i | 2.22162 | + | 2.22162i | ||||
\(658\) | 0.227128 | − | 0.0871861i | 0.00885435 | − | 0.00339887i | ||||
\(659\) | −17.7489 | + | 7.90232i | −0.691399 | + | 0.307830i | −0.722189 | − | 0.691695i | \(-0.756864\pi\) |
0.0307908 | + | 0.999526i | \(0.490197\pi\) | |||||||
\(660\) | −27.0584 | + | 37.2427i | −1.05325 | + | 1.44967i | ||||
\(661\) | −25.7530 | − | 13.1218i | −1.00167 | − | 0.510378i | −0.125356 | − | 0.992112i | \(-0.540007\pi\) |
−0.876318 | + | 0.481734i | \(0.840007\pi\) | |||||||
\(662\) | −2.21638 | − | 21.0874i | −0.0861419 | − | 0.819586i | ||||
\(663\) | 28.3876 | + | 36.8698i | 1.10248 | + | 1.43191i | ||||
\(664\) | −39.0009 | + | 35.1165i | −1.51353 | + | 1.36279i | ||||
\(665\) | 1.43596 | + | 0.551214i | 0.0556842 | + | 0.0213752i | ||||
\(666\) | 40.4503 | + | 190.304i | 1.56742 | + | 7.37412i | ||||
\(667\) | −5.26100 | + | 4.73703i | −0.203707 | + | 0.183418i | ||||
\(668\) | 21.8863 | + | 27.0273i | 0.846806 | + | 1.04572i | ||||
\(669\) | 27.3834 | + | 17.7830i | 1.05870 | + | 0.687530i | ||||
\(670\) | −6.16596 | − | 3.14171i | −0.238212 | − | 0.121375i | ||||
\(671\) | 10.0044 | + | 8.10139i | 0.386215 | + | 0.312751i | ||||
\(672\) | −34.7101 | − | 31.2531i | −1.33897 | − | 1.20562i | ||||
\(673\) | 0.0424423 | + | 0.0308361i | 0.00163603 | + | 0.00118864i | 0.588603 | − | 0.808422i | \(-0.299678\pi\) |
−0.586967 | + | 0.809611i | \(0.699678\pi\) | |||||||
\(674\) | −9.57138 | + | 7.75075i | −0.368676 | + | 0.298548i | ||||
\(675\) | 46.7322 | + | 20.8065i | 1.79872 | + | 0.800843i | ||||
\(676\) | −25.8321 | + | 67.9615i | −0.993544 | + | 2.61390i | ||||
\(677\) | −10.6277 | − | 6.13590i | −0.408455 | − | 0.235822i | 0.281671 | − | 0.959511i | \(-0.409111\pi\) |
−0.690126 | + | 0.723689i | \(0.742445\pi\) | |||||||
\(678\) | 57.6863 | − | 22.1437i | 2.21543 | − | 0.850423i | ||||
\(679\) | −3.34789 | − | 3.71821i | −0.128480 | − | 0.142692i | ||||
\(680\) | 38.3874 | + | 8.15950i | 1.47209 | + | 0.312903i | ||||
\(681\) | 16.6056 | − | 16.6056i | 0.636327 | − | 0.636327i | ||||
\(682\) | 34.0610 | − | 23.1016i | 1.30426 | − | 0.884605i | ||||
\(683\) | 0.521957 | + | 1.94797i | 0.0199721 | + | 0.0745370i | 0.975193 | − | 0.221358i | \(-0.0710489\pi\) |
−0.955221 | + | 0.295895i | \(0.904382\pi\) | |||||||
\(684\) | −91.6451 | − | 46.6955i | −3.50414 | − | 1.78545i | ||||
\(685\) | −13.3273 | − | 4.33031i | −0.509211 | − | 0.165453i | ||||
\(686\) | 9.20251 | − | 20.6692i | 0.351353 | − | 0.789153i | ||||
\(687\) | −29.8564 | + | 29.8564i | −1.13909 | + | 1.13909i | ||||
\(688\) | 68.5670 | + | 118.762i | 2.61409 | + | 4.52774i | ||||
\(689\) | −0.328437 | + | 0.479564i | −0.0125125 | + | 0.0182699i | ||||
\(690\) | −7.57635 | − | 5.50454i | −0.288427 | − | 0.209554i | ||||
\(691\) | 3.95309 | + | 24.9588i | 0.150382 | + | 0.949478i | 0.941304 | + | 0.337560i | \(0.109602\pi\) |
−0.790921 | + | 0.611918i | \(0.790398\pi\) | |||||||
\(692\) | −9.09131 | − | 27.9802i | −0.345600 | − | 1.06365i | ||||
\(693\) | −10.3125 | − | 4.59141i | −0.391738 | − | 0.174413i | ||||
\(694\) | −4.93307 | − | 94.1285i | −0.187257 | − | 3.57307i | ||||
\(695\) | 9.58341 | − | 14.7572i | 0.363520 | − | 0.559771i | ||||
\(696\) | −197.515 | + | 31.2833i | −7.48677 | + | 1.18579i | ||||
\(697\) | −33.5913 | + | 17.1156i | −1.27236 | + | 0.648301i | ||||
\(698\) | 36.2457 | + | 40.2549i | 1.37192 | + | 1.52367i | ||||
\(699\) | 57.4678 | − | 25.5863i | 2.17363 | − | 0.967764i | ||||
\(700\) | −6.20279 | − | 12.1737i | −0.234443 | − | 0.460121i | ||||
\(701\) | −33.3316 | − | 30.0119i | −1.25892 | − | 1.13354i | −0.985142 | − | 0.171742i | \(-0.945060\pi\) |
−0.273777 | − | 0.961793i | \(-0.588273\pi\) | |||||||
\(702\) | 41.6173 | − | 118.140i | 1.57075 | − | 4.45891i | ||||
\(703\) | 5.52707 | − | 26.0028i | 0.208457 | − | 0.980714i | ||||
\(704\) | −93.9195 | + | 14.8754i | −3.53972 | + | 0.560637i | ||||
\(705\) | 0.447485 | + | 0.0470326i | 0.0168533 | + | 0.00177135i | ||||
\(706\) | 7.23252 | − | 5.25473i | 0.272199 | − | 0.197764i | ||||
\(707\) | −1.24119 | + | 4.63219i | −0.0466799 | + | 0.174212i | ||||
\(708\) | 1.94066 | + | 0.519998i | 0.0729344 | + | 0.0195427i | ||||
\(709\) | 5.59481 | − | 6.90901i | 0.210117 | − | 0.259473i | −0.661182 | − | 0.750226i | \(-0.729945\pi\) |
0.871299 | + | 0.490752i | \(0.163278\pi\) | |||||||
\(710\) | 0.625552 | − | 0.963266i | 0.0234766 | − | 0.0361507i | ||||
\(711\) | −0.152131 | + | 0.715722i | −0.00570537 | + | 0.0268417i | ||||
\(712\) | −83.5270 | − | 144.673i | −3.13031 | − | 5.42185i | ||||
\(713\) | 3.46167 | + | 5.10389i | 0.129641 | + | 0.191142i | ||||
\(714\) | 21.4111i | 0.801292i | ||||||||
\(715\) | 5.72856 | + | 7.44027i | 0.214236 | + | 0.278250i | ||||
\(716\) | 21.2268 | + | 99.8644i | 0.793284 | + | 3.73211i | ||||
\(717\) | −14.4030 | − | 37.5212i | −0.537892 | − | 1.40126i | ||||
\(718\) | −66.2536 | −2.47256 | ||||||||
\(719\) | −28.5441 | −1.06451 | −0.532257 | − | 0.846583i | \(-0.678656\pi\) | ||||
−0.532257 | + | 0.846583i | \(0.678656\pi\) | |||||||
\(720\) | −39.1316 | − | 101.941i | −1.45835 | − | 3.79913i | ||||
\(721\) | −0.859714 | − | 0.330013i | −0.0320174 | − | 0.0122903i | ||||
\(722\) | −20.9403 | − | 25.8591i | −0.779316 | − | 0.962375i | ||||
\(723\) | −39.4849 | + | 25.6418i | −1.46846 | + | 0.953628i | ||||
\(724\) | −23.9605 | + | 53.8162i | −0.890486 | + | 2.00006i | ||||
\(725\) | −25.3663 | − | 5.39178i | −0.942082 | − | 0.200246i | ||||
\(726\) | 29.5150 | − | 15.0386i | 1.09540 | − | 0.558136i | ||||
\(727\) | −20.7605 | − | 2.18202i | −0.769965 | − | 0.0809266i | −0.288603 | − | 0.957449i | \(-0.593191\pi\) |
−0.481361 | + | 0.876522i | \(0.659858\pi\) | |||||||
\(728\) | −18.3055 | + | 11.2590i | −0.678447 | + | 0.417287i | ||||
\(729\) | −3.83466 | + | 11.8019i | −0.142024 | + | 0.437106i | ||||
\(730\) | 11.0464 | − | 28.7770i | 0.408847 | − | 1.06508i | ||||
\(731\) | 10.7525 | − | 33.0927i | 0.397695 | − | 1.22398i | ||||
\(732\) | −80.6720 | + | 26.2119i | −2.98172 | + | 0.968821i | ||||
\(733\) | 25.6033 | − | 31.6175i | 0.945681 | − | 1.16782i | −0.0400005 | − | 0.999200i | \(-0.512736\pi\) |
0.985681 | − | 0.168619i | \(-0.0539307\pi\) | |||||||
\(734\) | 4.86489 | + | 92.8277i | 0.179566 | + | 3.42633i | ||||
\(735\) | 15.8275 | − | 12.8168i | 0.583804 | − | 0.472755i | ||||
\(736\) | −4.25297 | − | 26.8522i | −0.156767 | − | 0.989786i | ||||
\(737\) | −4.07899 | − | 5.61425i | −0.150252 | − | 0.206804i | ||||
\(738\) | 153.983 | + | 88.9021i | 5.66819 | + | 3.27253i | ||||
\(739\) | −14.4404 | − | 14.4404i | −0.531197 | − | 0.531197i | 0.389732 | − | 0.920928i | \(-0.372568\pi\) |
−0.920928 | + | 0.389732i | \(0.872568\pi\) | |||||||
\(740\) | 44.3763 | − | 32.2413i | 1.63130 | − | 1.18521i | ||||
\(741\) | −20.6054 | + | 21.7851i | −0.756958 | + | 0.800296i | ||||
\(742\) | −0.254365 | + | 0.0826481i | −0.00933802 | + | 0.00303411i | ||||
\(743\) | −20.4260 | − | 5.47314i | −0.749358 | − | 0.200790i | −0.136125 | − | 0.990692i | \(-0.543465\pi\) |
−0.613233 | + | 0.789902i | \(0.710132\pi\) | |||||||
\(744\) | 3.48645 | + | 174.172i | 0.127819 | + | 6.38544i | ||||
\(745\) | 13.8586 | + | 8.00128i | 0.507741 | + | 0.293144i | ||||
\(746\) | 30.8367 | − | 60.5205i | 1.12901 | − | 2.21581i | ||||
\(747\) | −16.8206 | − | 33.0123i | −0.615435 | − | 1.20786i | ||||
\(748\) | 47.6103 | + | 38.5541i | 1.74081 | + | 1.40968i | ||||
\(749\) | 0.230385 | + | 0.859807i | 0.00841807 | + | 0.0314167i | ||||
\(750\) | − | 76.5792i | − | 2.79628i | ||||||
\(751\) | 22.3735 | − | 2.35155i | 0.816422 | − | 0.0858094i | 0.312894 | − | 0.949788i | \(-0.398702\pi\) |
0.503528 | + | 0.863979i | \(0.332035\pi\) | |||||||
\(752\) | 1.48515 | + | 1.83401i | 0.0541578 | + | 0.0668794i | ||||
\(753\) | −20.7512 | − | 46.6080i | −0.756216 | − | 1.69849i | ||||
\(754\) | −8.18485 | + | 62.9692i | −0.298075 | + | 2.29320i | ||||
\(755\) | 13.4390 | − | 1.41249i | 0.489094 | − | 0.0514059i | ||||
\(756\) | 35.6043 | − | 23.1217i | 1.29492 | − | 0.840929i | ||||
\(757\) | 33.4803 | + | 10.8784i | 1.21686 | + | 0.395383i | 0.845939 | − | 0.533280i | \(-0.179041\pi\) |
0.370925 | + | 0.928663i | \(0.379041\pi\) | |||||||
\(758\) | −28.4384 | + | 39.1421i | −1.03293 | + | 1.42170i | ||||
\(759\) | −4.26347 | − | 8.36753i | −0.154754 | − | 0.303722i | ||||
\(760\) | −1.32359 | + | 25.2556i | −0.0480117 | + | 0.916117i | ||||
\(761\) | −1.11440 | − | 7.03602i | −0.0403969 | − | 0.255056i | 0.959222 | − | 0.282653i | \(-0.0912144\pi\) |
−0.999619 | + | 0.0275971i | \(0.991214\pi\) | |||||||
\(762\) | 41.8409 | + | 2.19279i | 1.51573 | + | 0.0794363i | ||||
\(763\) | −1.20994 | − | 3.72381i | −0.0438027 | − | 0.134811i | ||||
\(764\) | 5.49982 | + | 7.56985i | 0.198977 | + | 0.273868i | ||||
\(765\) | −12.5784 | + | 24.6865i | −0.454774 | + | 0.892544i | ||||
\(766\) | 40.3548 | − | 17.9671i | 1.45808 | − | 0.649177i | ||||
\(767\) | 0.213556 | − | 0.349780i | 0.00771105 | − | 0.0126298i | ||||
\(768\) | 80.9599 | − | 181.839i | 2.92139 | − | 6.56155i | ||||
\(769\) | 13.0141 | − | 3.48713i | 0.469302 | − | 0.125749i | −0.0164149 | − | 0.999865i | \(-0.505225\pi\) |
0.485717 | + | 0.874116i | \(0.338559\pi\) | |||||||
\(770\) | 4.32073i | 0.155708i | ||||||||
\(771\) | −5.43842 | − | 51.7431i | −0.195860 | − | 1.86348i | ||||
\(772\) | 18.1606 | + | 11.7936i | 0.653613 | + | 0.424461i | ||||
\(773\) | −36.5114 | + | 23.7108i | −1.31322 | + | 0.852817i | −0.995444 | − | 0.0953483i | \(-0.969604\pi\) |
−0.317778 | + | 0.948165i | \(0.602937\pi\) | |||||||
\(774\) | −158.513 | + | 42.4735i | −5.69764 | + | 1.52668i | ||||
\(775\) | −7.67223 | + | 21.2485i | −0.275595 | + | 0.763267i | ||||
\(776\) | 41.1332 | − | 71.2448i | 1.47660 | − | 2.55754i | ||||
\(777\) | 14.2864 | + | 12.8635i | 0.512521 | + | 0.461476i | ||||
\(778\) | 2.21781 | − | 42.3183i | 0.0795123 | − | 1.51719i | ||||
\(779\) | −14.2802 | − | 19.6550i | −0.511640 | − | 0.704213i | ||||
\(780\) | −61.6739 | + | 4.95579i | −2.20828 | + | 0.177446i | ||||
\(781\) | 0.997470 | − | 0.575889i | 0.0356923 | − | 0.0206069i | ||||
\(782\) | −7.84313 | + | 9.68546i | −0.280470 | + | 0.346351i | ||||
\(783\) | 8.42285 | − | 80.1380i | 0.301008 | − | 2.86390i | ||||
\(784\) | 106.232 | + | 11.1655i | 3.79402 | + | 0.398767i | ||||
\(785\) | −11.3836 | − | 17.5292i | −0.406299 | − | 0.625645i | ||||
\(786\) | −135.825 | + | 52.1383i | −4.84472 | + | 1.85971i | ||||
\(787\) | 20.4733 | − | 40.1812i | 0.729795 | − | 1.43230i | −0.165215 | − | 0.986258i | \(-0.552832\pi\) |
0.895010 | − | 0.446046i | \(-0.147168\pi\) | |||||||
\(788\) | 2.52547 | − | 48.1888i | 0.0899661 | − | 1.71666i | ||||
\(789\) | −8.66261 | − | 6.29375i | −0.308397 | − | 0.224063i | ||||
\(790\) | 0.273949 | − | 0.0582296i | 0.00974665 | − | 0.00207171i | ||||
\(791\) | 2.32664 | − | 3.58271i | 0.0827258 | − | 0.127387i | ||||
\(792\) | 19.4012 | − | 184.590i | 0.689392 | − | 6.55913i | ||||
\(793\) | 0.481332 | + | 17.2956i | 0.0170926 | + | 0.614185i | ||||
\(794\) | 8.01312 | − | 8.89947i | 0.284375 | − | 0.315830i | ||||
\(795\) | −0.488558 | − | 0.0773801i | −0.0173274 | − | 0.00274439i | ||||
\(796\) | −34.5053 | + | 11.2114i | −1.22301 | + | 0.397379i | ||||
\(797\) | −2.61729 | + | 24.9019i | −0.0927093 | + | 0.882070i | 0.845027 | + | 0.534723i | \(0.179584\pi\) |
−0.937737 | + | 0.347347i | \(0.887083\pi\) | |||||||
\(798\) | −13.6279 | + | 2.15845i | −0.482422 | + | 0.0764081i | ||||
\(799\) | 0.0936724 | − | 0.591424i | 0.00331389 | − | 0.0209231i | ||||
\(800\) | 70.4212 | − | 70.4212i | 2.48977 | − | 2.48977i | ||||
\(801\) | 113.919 | − | 30.5244i | 4.02512 | − | 1.07853i | ||||
\(802\) | 32.7475 | − | 3.44190i | 1.15635 | − | 0.121538i | ||||
\(803\) | 22.9711 | − | 20.6832i | 0.810631 | − | 0.729895i | ||||
\(804\) | 45.6633 | − | 2.39311i | 1.61042 | − | 0.0843985i | ||||
\(805\) | −0.647443 | −0.0228194 | ||||||||
\(806\) | 53.3659 | + | 14.5584i | 1.87973 | + | 0.512796i | ||||
\(807\) | −51.0731 | −1.79786 | ||||||||
\(808\) | −78.7426 | + | 4.12672i | −2.77015 | + | 0.145178i | ||||
\(809\) | −14.5322 | + | 13.0849i | −0.510926 | + | 0.460040i | −0.883815 | − | 0.467836i | \(-0.845034\pi\) |
0.372889 | + | 0.927876i | \(0.378367\pi\) | |||||||
\(810\) | 50.2278 | − | 5.27916i | 1.76483 | − | 0.185491i | ||||
\(811\) | −6.43172 | + | 1.72337i | −0.225848 | + | 0.0605159i | −0.369968 | − | 0.929044i | \(-0.620631\pi\) |
0.144120 | + | 0.989560i | \(0.453965\pi\) | |||||||
\(812\) | −15.2182 | + | 15.2182i | −0.534055 | + | 0.534055i | ||||
\(813\) | 8.31411 | − | 52.4932i | 0.291589 | − | 1.84102i | ||||
\(814\) | 73.7568 | − | 11.6819i | 2.58517 | − | 0.409451i | ||||
\(815\) | −0.806991 | + | 7.67801i | −0.0282677 | + | 0.268949i | ||||
\(816\) | −197.527 | + | 64.1804i | −6.91483 | + | 2.24676i | ||||
\(817\) | 22.1470 | + | 3.50774i | 0.774825 | + | 0.122720i | ||||
\(818\) | −21.8004 | + | 24.2118i | −0.762232 | + | 0.846544i | ||||
\(819\) | −4.33302 | − | 14.5403i | −0.151408 | − | 0.508079i | ||||
\(820\) | 5.23995 | − | 49.8548i | 0.182987 | − | 1.74100i | ||||
\(821\) | 1.26700 | − | 1.95102i | 0.0442188 | − | 0.0680909i | −0.815870 | − | 0.578236i | \(-0.803741\pi\) |
0.860089 | + | 0.510145i | \(0.170408\pi\) | |||||||
\(822\) | 122.958 | − | 26.1356i | 4.28867 | − | 0.911585i | ||||
\(823\) | 37.4144 | + | 27.1831i | 1.30418 | + | 0.947544i | 0.999987 | − | 0.00506533i | \(-0.00161235\pi\) |
0.304196 | + | 0.952610i | \(0.401612\pi\) | |||||||
\(824\) | 0.792436 | − | 15.1206i | 0.0276058 | − | 0.526751i | ||||
\(825\) | 15.6179 | − | 30.6518i | 0.543744 | − | 1.06716i | ||||
\(826\) | 0.176048 | − | 0.0675785i | 0.00612549 | − | 0.00235136i | ||||
\(827\) | 21.2206 | + | 32.6768i | 0.737912 | + | 1.13628i | 0.985870 | + | 0.167513i | \(0.0535738\pi\) |
−0.247958 | + | 0.968771i | \(0.579760\pi\) | |||||||
\(828\) | 43.0579 | + | 4.52557i | 1.49637 | + | 0.157274i | ||||
\(829\) | 1.07990 | − | 10.2746i | 0.0375066 | − | 0.356852i | −0.959632 | − | 0.281258i | \(-0.909248\pi\) |
0.997139 | − | 0.0755933i | \(-0.0240851\pi\) | |||||||
\(830\) | −8.92467 | + | 11.0211i | −0.309780 | + | 0.382546i | ||||
\(831\) | −34.9302 | + | 20.1669i | −1.21171 | + | 0.699583i | ||||
\(832\) | −97.3207 | − | 82.8436i | −3.37399 | − | 2.87209i | ||||
\(833\) | −15.9310 | − | 21.9271i | −0.551976 | − | 0.759729i | ||||
\(834\) | −8.26093 | + | 157.628i | −0.286053 | + | 5.45821i | ||||
\(835\) | 4.48635 | + | 4.03953i | 0.155257 | + | 0.139794i | ||||
\(836\) | −19.7396 | + | 34.1899i | −0.682707 | + | 1.18248i | ||||
\(837\) | −68.1537 | − | 16.8073i | −2.35574 | − | 0.580946i | ||||
\(838\) | 6.91028 | − | 1.85160i | 0.238712 | − | 0.0639626i | ||||
\(839\) | 30.6037 | − | 19.8743i | 1.05656 | − | 0.686136i | 0.105271 | − | 0.994444i | \(-0.466429\pi\) |
0.951287 | + | 0.308307i | \(0.0997625\pi\) | |||||||
\(840\) | −15.3383 | − | 9.96082i | −0.529222 | − | 0.343681i | ||||
\(841\) | 1.23866 | + | 11.7851i | 0.0427124 | + | 0.406381i | ||||
\(842\) | 29.2130i | 1.00675i | ||||||||
\(843\) | −60.3501 | + | 16.1708i | −2.07857 | + | 0.556951i | ||||
\(844\) | −49.4814 | + | 111.137i | −1.70322 | + | 3.82549i | ||||
\(845\) | −2.58344 | + | 12.3535i | −0.0888730 | + | 0.424975i | ||||
\(846\) | −2.57991 | + | 1.14865i | −0.0886992 | + | 0.0394914i | ||||
\(847\) | 1.03970 | − | 2.04053i | 0.0357245 | − | 0.0701133i | ||||
\(848\) | −1.52493 | − | 2.09889i | −0.0523663 | − | 0.0720760i | ||||
\(849\) | −6.65682 | − | 20.4876i | −0.228462 | − | 0.703133i | ||||
\(850\) | −45.5911 | − | 2.38933i | −1.56376 | − | 0.0819533i | ||||
\(851\) | 1.75049 | + | 11.0521i | 0.0600059 | + | 0.378862i | ||||
\(852\) | −0.397190 | + | 7.57883i | −0.0136075 | + | 0.259646i | ||||
\(853\) | −17.9363 | − | 35.2020i | −0.614128 | − | 1.20529i | −0.963349 | − | 0.268253i | \(-0.913554\pi\) |
0.349221 | − | 0.937040i | \(-0.386446\pi\) | |||||||
\(854\) | −4.67960 | + | 6.44092i | −0.160133 | + | 0.220404i | ||||
\(855\) | −16.9807 | − | 5.51735i | −0.580726 | − | 0.188689i | ||||
\(856\) | −12.2747 | + | 7.97128i | −0.419540 | + | 0.272453i | ||||
\(857\) | 33.8010 | − | 3.55262i | 1.15462 | − | 0.121355i | 0.492195 | − | 0.870485i | \(-0.336195\pi\) |
0.662424 | + | 0.749130i | \(0.269528\pi\) | |||||||
\(858\) | −77.8750 | − | 32.1071i | −2.65861 | − | 1.09612i | ||||
\(859\) | −3.16536 | − | 7.10950i | −0.108001 | − | 0.242573i | 0.851458 | − | 0.524423i | \(-0.175719\pi\) |
−0.959459 | + | 0.281849i | \(0.909052\pi\) | |||||||
\(860\) | 29.1168 | + | 35.9563i | 0.992876 | + | 1.22610i | ||||
\(861\) | 17.4728 | − | 1.83646i | 0.595471 | − | 0.0625865i | ||||
\(862\) | − | 28.1321i | − | 0.958181i | ||||||
\(863\) | 11.6674 | + | 43.5433i | 0.397163 | + | 1.48223i | 0.818065 | + | 0.575126i | \(0.195047\pi\) |
−0.420902 | + | 0.907106i | \(0.638286\pi\) | |||||||
\(864\) | 240.487 | + | 194.743i | 8.18154 | + | 6.62528i | ||||
\(865\) | −2.31852 | − | 4.55035i | −0.0788321 | − | 0.154717i | ||||
\(866\) | 3.05071 | − | 5.98736i | 0.103667 | − | 0.203459i | ||||
\(867\) | −0.892332 | − | 0.515188i | −0.0303052 | − | 0.0174967i | ||||
\(868\) | 11.3214 | + | 14.9442i | 0.384272 | + | 0.507238i | ||||
\(869\) | 0.271283 | + | 0.0726901i | 0.00920265 | + | 0.00246584i | ||||
\(870\) | −51.3932 | + | 16.6987i | −1.74239 | + | 0.566137i | ||||
\(871\) | 2.16248 | − | 9.07302i | 0.0732730 | − | 0.307428i | ||||
\(872\) | 52.0835 | − | 37.8409i | 1.76377 | − | 1.28145i | ||||
\(873\) | 41.0679 | + | 41.0679i | 1.38994 | + | 1.38994i | ||||
\(874\) | −6.95532 | − | 4.01565i | −0.235267 | − | 0.135831i | ||||
\(875\) | −3.11193 | − | 4.28320i | −0.105202 | − | 0.144799i | ||||
\(876\) | 31.8617 | + | 201.167i | 1.07651 | + | 6.79679i | ||||
\(877\) | 5.69215 | − | 4.60941i | 0.192210 | − | 0.155649i | −0.528385 | − | 0.849005i | \(-0.677202\pi\) |
0.720595 | + | 0.693356i | \(0.243869\pi\) | |||||||
\(878\) | −1.90495 | − | 36.3487i | −0.0642891 | − | 1.22671i | ||||
\(879\) | 36.4712 | − | 45.0382i | 1.23014 | − | 1.51910i | ||||
\(880\) | −39.8606 | + | 12.9515i | −1.34370 | + | 0.436595i | ||||
\(881\) | 11.3430 | − | 34.9100i | 0.382154 | − | 1.17615i | −0.556370 | − | 0.830934i | \(-0.687806\pi\) |
0.938524 | − | 0.345214i | \(-0.112194\pi\) | |||||||
\(882\) | −45.8087 | + | 119.336i | −1.54246 | + | 4.01825i | ||||
\(883\) | 7.49531 | − | 23.0682i | 0.252237 | − | 0.776307i | −0.742124 | − | 0.670262i | \(-0.766182\pi\) |
0.994361 | − | 0.106044i | \(-0.0338185\pi\) | |||||||
\(884\) | 2.29063 | + | 82.3088i | 0.0770423 | + | 2.76834i | ||||
\(885\) | 0.346848 | + | 0.0364552i | 0.0116592 | + | 0.00122543i | ||||
\(886\) | −21.1799 | + | 10.7917i | −0.711552 | + | 0.362554i | ||||
\(887\) | −4.77850 | − | 1.01570i | −0.160446 | − | 0.0341039i | 0.126988 | − | 0.991904i | \(-0.459469\pi\) |
−0.287434 | + | 0.957800i | \(0.592802\pi\) | |||||||
\(888\) | −128.565 | + | 288.763i | −4.31437 | + | 9.69024i | ||||
\(889\) | 2.42933 | − | 1.57763i | 0.0814772 | − | 0.0529119i | ||||
\(890\) | −28.4085 | − | 35.0816i | −0.952255 | − | 1.17594i | ||||
\(891\) | 47.2820 | + | 18.1499i | 1.58401 | + | 0.608043i | ||||
\(892\) | 20.7055 | + | 53.9397i | 0.693272 | + | 1.80604i | ||||
\(893\) | 0.385876 | 0.0129129 | ||||||||
\(894\) | −143.551 | −4.80107 | ||||||||
\(895\) | 6.35119 | + | 16.5454i | 0.212297 | + | 0.553052i | ||||
\(896\) | −6.08181 | − | 28.6127i | −0.203179 | − | 0.955882i | ||||
\(897\) | 4.81111 | − | 11.6692i | 0.160638 | − | 0.389624i | ||||
\(898\) | 16.2218i | 0.541329i | ||||||||
\(899\) | 35.5672 | + | 1.15083i | 1.18623 | + | 0.0383824i | ||||
\(900\) | 79.2989 | + | 137.350i | 2.64330 | + | 4.57832i | ||||
\(901\) | −0.136864 | + | 0.643897i | −0.00455962 | + | 0.0214513i | ||||
\(902\) | 37.1698 | − | 57.2364i | 1.23762 | − | 1.90576i | ||||
\(903\) | −10.2047 | + | 12.6017i | −0.339591 | + | 0.419360i | ||||
\(904\) | 67.8463 | + | 18.1794i | 2.25653 | + | 0.604637i | ||||
\(905\) | −2.64667 | + | 9.87750i | −0.0879782 | + | 0.328339i | ||||
\(906\) | −98.0679 | + | 71.2505i | −3.25809 | + | 2.36714i | ||||
\(907\) | 56.9667 | + | 5.98744i | 1.89155 | + | 0.198810i | 0.978098 | − | 0.208144i | \(-0.0667423\pi\) |
0.913449 | + | 0.406954i | \(0.133409\pi\) | |||||||
\(908\) | 41.0440 | − | 6.50074i | 1.36209 | − | 0.215735i | ||||
\(909\) | 11.5739 | − | 54.4508i | 0.383881 | − | 1.80602i | ||||
\(910\) | −4.40969 | + | 3.77878i | −0.146180 | + | 0.125265i | ||||
\(911\) | −22.4835 | − | 20.2443i | −0.744912 | − | 0.670722i | 0.206568 | − | 0.978432i | \(-0.433771\pi\) |
−0.951480 | + | 0.307710i | \(0.900437\pi\) | |||||||
\(912\) | −60.7625 | − | 119.253i | −2.01205 | − | 3.94887i | ||||
\(913\) | −12.9917 | + | 5.78426i | −0.429961 | + | 0.191431i | ||||
\(914\) | 9.17777 | + | 10.1930i | 0.303574 | + | 0.337153i | ||||
\(915\) | −13.1195 | + | 6.68472i | −0.433717 | + | 0.220990i | ||||
\(916\) | −73.7961 | + | 11.6882i | −2.43829 | + | 0.386187i | ||||
\(917\) | −5.47818 | + | 8.43565i | −0.180905 | + | 0.278570i | ||||
\(918\) | −7.42416 | − | 141.661i | −0.245034 | − | 4.67552i | ||||
\(919\) | −40.6881 | − | 18.1155i | −1.34218 | − | 0.597575i | −0.395116 | − | 0.918631i | \(-0.629295\pi\) |
−0.947060 | + | 0.321056i | \(0.895962\pi\) | |||||||
\(920\) | −3.28962 | − | 10.1244i | −0.108456 | − | 0.333792i | ||||
\(921\) | 3.14039 | + | 19.8276i | 0.103479 | + | 0.653343i | ||||
\(922\) | 28.8383 | + | 20.9522i | 0.949738 | + | 0.690025i | ||||
\(923\) | 1.46010 | + | 0.514352i | 0.0480599 | + | 0.0169301i | ||||
\(924\) | −14.2748 | − | 24.7247i | −0.469607 | − | 0.813383i | ||||
\(925\) | −28.9848 | + | 28.9848i | −0.953013 | + | 0.953013i | ||||
\(926\) | −16.2697 | + | 36.5423i | −0.534655 | + | 1.20085i | ||||
\(927\) | 10.1664 | + | 3.30325i | 0.333907 | + | 0.108493i | ||||
\(928\) | −139.778 | − | 71.2203i | −4.58843 | − | 2.33792i | ||||
\(929\) | 4.25011 | + | 15.8616i | 0.139442 | + | 0.520403i | 0.999940 | + | 0.0109501i | \(0.00348561\pi\) |
−0.860498 | + | 0.509453i | \(0.829848\pi\) | |||||||
\(930\) | 8.29308 | + | 46.3381i | 0.271941 | + | 1.51948i | ||||
\(931\) | 12.3503 | − | 12.3503i | 0.404765 | − | 0.404765i | ||||
\(932\) | 108.883 | + | 23.1438i | 3.56658 | + | 0.758101i | ||||
\(933\) | −12.5142 | − | 13.8984i | −0.409696 | − | 0.455014i | ||||
\(934\) | 38.9106 | − | 14.9364i | 1.27319 | − | 0.488734i | ||||
\(935\) | 9.20978 | + | 5.31727i | 0.301192 | + | 0.173893i | ||||
\(936\) | 205.359 | − | 141.636i | 6.71236 | − | 4.62953i | ||||
\(937\) | −15.4195 | − | 6.86519i | −0.503732 | − | 0.224276i | 0.139107 | − | 0.990277i | \(-0.455577\pi\) |
−0.642839 | + | 0.766002i | \(0.722243\pi\) | |||||||
\(938\) | 3.33533 | − | 2.70090i | 0.108903 | − | 0.0881875i | ||||
\(939\) | 18.4510 | + | 13.4054i | 0.602125 | + | 0.437470i | ||||
\(940\) | 0.591696 | + | 0.532766i | 0.0192990 | + | 0.0173769i | ||||
\(941\) | 34.5536 | + | 27.9809i | 1.12641 | + | 0.912152i | 0.996841 | − | 0.0794175i | \(-0.0253060\pi\) |
0.129573 | + | 0.991570i | \(0.458639\pi\) | |||||||
\(942\) | 167.059 | + | 85.1208i | 5.44308 | + | 2.77339i | ||||
\(943\) | 8.57663 | + | 5.56973i | 0.279294 | + | 0.181375i | ||||
\(944\) | 1.15115 | + | 1.42155i | 0.0374667 | + | 0.0462675i | ||||
\(945\) | 5.47652 | − | 4.93108i | 0.178151 | − | 0.160408i | ||||
\(946\) | 13.0960 | + | 61.6120i | 0.425789 | + | 2.00318i | ||||
\(947\) | 3.49502 | + | 1.34161i | 0.113573 | + | 0.0435966i | 0.414491 | − | 0.910053i | \(-0.363960\pi\) |
−0.300918 | + | 0.953650i | \(0.597293\pi\) | |||||||
\(948\) | −1.37525 | + | 1.23828i | −0.0446660 | + | 0.0402174i | ||||
\(949\) | 41.1988 | + | 5.35510i | 1.33737 | + | 0.173834i | ||||
\(950\) | −3.07524 | − | 29.2590i | −0.0997740 | − | 0.949286i | ||||
\(951\) | −43.1795 | − | 22.0011i | −1.40019 | − | 0.713434i | ||||
\(952\) | −14.3061 | + | 19.6906i | −0.463662 | + | 0.638176i | ||||
\(953\) | 4.82690 | − | 2.14908i | 0.156359 | − | 0.0696154i | −0.327065 | − | 0.945002i | \(-0.606060\pi\) |
0.483424 | + | 0.875386i | \(0.339393\pi\) | |||||||
\(954\) | 2.89841 | − | 1.11259i | 0.0938393 | − | 0.0360216i | ||||
\(955\) | 1.14851 | + | 1.14851i | 0.0371649 | + | 0.0371649i | ||||
\(956\) | 18.4070 | − | 68.6958i | 0.595325 | − | 2.22178i | ||||
\(957\) | −53.5221 | − | 8.47707i | −1.73012 | − | 0.274025i | ||||
\(958\) | −17.3932 | + | 53.5306i | −0.561947 | + | 1.72950i | ||||
\(959\) | 5.81520 | − | 6.45843i | 0.187783 | − | 0.208554i | ||||
\(960\) | 28.1501 | − | 105.058i | 0.908542 | − | 3.39072i | ||||
\(961\) | 5.22663 | − | 30.5562i | 0.168601 | − | 0.985684i | ||||
\(962\) | 76.4278 | + | 65.0587i | 2.46413 | + | 2.09758i | ||||
\(963\) | −3.19298 | − | 9.82699i | −0.102892 | − | 0.316670i | ||||
\(964\) | −83.1966 | − | 4.36015i | −2.67958 | − | 0.140431i | ||||
\(965\) | 3.43390 | + | 1.52887i | 0.110541 | + | 0.0492162i | ||||
\(966\) | 5.02979 | − | 2.90395i | 0.161831 | − | 0.0934331i | ||||
\(967\) | −18.6224 | − | 4.98987i | −0.598857 | − | 0.160463i | −0.0533591 | − | 0.998575i | \(-0.516993\pi\) |
−0.545498 | + | 0.838112i | \(0.683659\pi\) | |||||||
\(968\) | 37.1915 | + | 5.89055i | 1.19538 | + | 0.189329i | ||||
\(969\) | −12.1702 | + | 31.7045i | −0.390964 | + | 1.01850i | ||||
\(970\) | 7.96657 | − | 20.7536i | 0.255791 | − | 0.666359i | ||||
\(971\) | 4.44010 | − | 4.93123i | 0.142490 | − | 0.158251i | −0.667676 | − | 0.744452i | \(-0.732711\pi\) |
0.810165 | + | 0.586202i | \(0.199377\pi\) | |||||||
\(972\) | −98.8477 | + | 71.8171i | −3.17054 | + | 2.30353i | ||||
\(973\) | 5.94343 | + | 9.15208i | 0.190538 | + | 0.293402i | ||||
\(974\) | −32.3952 | − | 35.9785i | −1.03801 | − | 1.15282i | ||||
\(975\) | 44.9418 | − | 10.8677i | 1.43929 | − | 0.348044i | ||||
\(976\) | −73.4475 | − | 23.8645i | −2.35100 | − | 0.763886i | ||||
\(977\) | 7.72990 | + | 5.01986i | 0.247301 | + | 0.160599i | 0.662338 | − | 0.749205i | \(-0.269564\pi\) |
−0.415036 | + | 0.909805i | \(0.636231\pi\) | |||||||
\(978\) | −28.1686 | − | 63.2677i | −0.900732 | − | 2.02308i | ||||
\(979\) | −9.41174 | − | 44.2787i | −0.300800 | − | 1.41515i | ||||
\(980\) | 35.9894 | − | 1.88612i | 1.14964 | − | 0.0602500i | ||||
\(981\) | 16.2880 | + | 42.4316i | 0.520035 | + | 1.35474i | ||||
\(982\) | 44.9986 | − | 2.35828i | 1.43596 | − | 0.0752557i | ||||
\(983\) | −40.9147 | − | 15.7057i | −1.30498 | − | 0.500934i | −0.396181 | − | 0.918173i | \(-0.629665\pi\) |
−0.908797 | + | 0.417239i | \(0.862998\pi\) | |||||||
\(984\) | 117.496 | + | 263.900i | 3.74564 | + | 8.41284i | ||||
\(985\) | −0.875581 | − | 8.33059i | −0.0278983 | − | 0.265435i | ||||
\(986\) | 18.6127 | + | 69.4637i | 0.592751 | + | 2.21218i | ||||
\(987\) | −0.139525 | + | 0.241664i | −0.00444112 | + | 0.00769224i | ||||
\(988\) | −52.1575 | + | 9.75546i | −1.65935 | + | 0.310363i | ||||
\(989\) | −9.23230 | + | 1.96239i | −0.293570 | + | 0.0624002i | ||||
\(990\) | −2.62491 | − | 50.0863i | −0.0834251 | − | 1.59185i | ||||
\(991\) | −10.4522 | + | 6.03460i | −0.332026 | + | 0.191695i | −0.656740 | − | 0.754117i | \(-0.728065\pi\) |
0.324714 | + | 0.945812i | \(0.394732\pi\) | |||||||
\(992\) | −78.0981 | + | 112.146i | −2.47962 | + | 3.56063i | ||||
\(993\) | 17.1972 | + | 17.1972i | 0.545736 | + | 0.545736i | ||||
\(994\) | 0.387954 | + | 0.597397i | 0.0123052 | + | 0.0189483i | ||||
\(995\) | −5.61151 | + | 2.85921i | −0.177897 | + | 0.0906430i | ||||
\(996\) | 14.6587 | − | 92.5515i | 0.464479 | − | 2.93261i | ||||
\(997\) | −2.06270 | − | 3.57270i | −0.0653264 | − | 0.113149i | 0.831512 | − | 0.555506i | \(-0.187476\pi\) |
−0.896839 | + | 0.442358i | \(0.854142\pi\) | |||||||
\(998\) | 44.5935 | − | 77.2381i | 1.41158 | − | 2.44493i | ||||
\(999\) | −98.9825 | − | 80.1544i | −3.13167 | − | 2.53597i |
(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 | 403.2.cc.a.24.1 | ✓ | 560 | |
13.6 | odd | 12 | 403.2.ch.a.396.35 | yes | 560 | ||
31.22 | odd | 30 | 403.2.ch.a.115.35 | yes | 560 | ||
403.84 | even | 60 | inner | 403.2.cc.a.84.1 | yes | 560 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.cc.a.24.1 | ✓ | 560 | 1.1 | even | 1 | trivial | |
403.2.cc.a.84.1 | yes | 560 | 403.84 | even | 60 | inner | |
403.2.ch.a.115.35 | yes | 560 | 31.22 | odd | 30 | ||
403.2.ch.a.396.35 | yes | 560 | 13.6 | odd | 12 |