Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(65,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.65");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.n (of order \(6\), degree \(2\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 263.6 | ||
Character | \(\chi\) | \(=\) | 462.263 |
Dual form | 462.2.n.e.65.6 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | 0.125098 | − | 1.72753i | 0.0722253 | − | 0.997388i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 3.72427 | − | 2.15021i | 1.66554 | − | 0.961602i | 0.695548 | − | 0.718479i | \(-0.255162\pi\) |
0.969996 | − | 0.243123i | \(-0.0781717\pi\) | |||||||
\(6\) | −1.55863 | + | 0.755426i | −0.636309 | + | 0.308401i | ||||
\(7\) | −2.62857 | + | 0.301041i | −0.993506 | + | 0.113783i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −2.96870 | − | 0.432220i | −0.989567 | − | 0.144073i | ||||
\(10\) | −3.72427 | − | 2.15021i | −1.17772 | − | 0.679955i | ||||
\(11\) | 0.167821 | − | 3.31238i | 0.0505998 | − | 0.998719i | ||||
\(12\) | 1.43353 | + | 0.972102i | 0.413825 | + | 0.280622i | ||||
\(13\) | 2.22468i | 0.617016i | 0.951222 | + | 0.308508i | \(0.0998297\pi\) | ||||
−0.951222 | + | 0.308508i | \(0.900170\pi\) | |||||||
\(14\) | 1.57499 | + | 2.12589i | 0.420935 | + | 0.568167i | ||||
\(15\) | −3.24864 | − | 6.70276i | −0.838796 | − | 1.73065i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 2.17622 | − | 3.76933i | 0.527812 | − | 0.914197i | −0.471663 | − | 0.881779i | \(-0.656346\pi\) |
0.999474 | − | 0.0324176i | \(-0.0103207\pi\) | |||||||
\(18\) | 1.11004 | + | 2.78708i | 0.261638 | + | 0.656921i | ||||
\(19\) | −1.35056 | + | 0.779747i | −0.309840 | + | 0.178886i | −0.646855 | − | 0.762613i | \(-0.723916\pi\) |
0.337015 | + | 0.941499i | \(0.390583\pi\) | |||||||
\(20\) | 4.30042i | 0.961602i | ||||||||
\(21\) | 0.191229 | + | 4.57858i | 0.0417295 | + | 0.999129i | ||||
\(22\) | −2.95251 | + | 1.51085i | −0.629478 | + | 0.322115i | ||||
\(23\) | −1.48946 | + | 0.859942i | −0.310575 | + | 0.179310i | −0.647184 | − | 0.762334i | \(-0.724053\pi\) |
0.336609 | + | 0.941645i | \(0.390720\pi\) | |||||||
\(24\) | 0.125098 | − | 1.72753i | 0.0255355 | − | 0.352630i | ||||
\(25\) | 6.74679 | − | 11.6858i | 1.34936 | − | 2.33716i | ||||
\(26\) | 1.92663 | − | 1.11234i | 0.377844 | − | 0.218148i | ||||
\(27\) | −1.11805 | + | 5.07444i | −0.215169 | + | 0.976577i | ||||
\(28\) | 1.05357 | − | 2.42693i | 0.199107 | − | 0.458646i | ||||
\(29\) | 4.52500 | 0.840271 | 0.420136 | − | 0.907461i | \(-0.361982\pi\) | ||||
0.420136 | + | 0.907461i | \(0.361982\pi\) | |||||||
\(30\) | −4.18044 | + | 6.16479i | −0.763241 | + | 1.12553i | ||||
\(31\) | −1.83135 | + | 3.17199i | −0.328920 | + | 0.569706i | −0.982298 | − | 0.187326i | \(-0.940018\pi\) |
0.653378 | + | 0.757032i | \(0.273351\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | −5.70123 | − | 0.704286i | −0.992456 | − | 0.122600i | ||||
\(34\) | −4.35245 | −0.746438 | ||||||||
\(35\) | −9.14220 | + | 6.77313i | −1.54531 | + | 1.14487i | ||||
\(36\) | 1.85866 | − | 2.35486i | 0.309777 | − | 0.392477i | ||||
\(37\) | 3.36669 | + | 5.83129i | 0.553481 | + | 0.958658i | 0.998020 | + | 0.0628979i | \(0.0200343\pi\) |
−0.444539 | + | 0.895760i | \(0.646632\pi\) | |||||||
\(38\) | 1.35056 | + | 0.779747i | 0.219090 | + | 0.126492i | ||||
\(39\) | 3.84320 | + | 0.278303i | 0.615405 | + | 0.0445642i | ||||
\(40\) | 3.72427 | − | 2.15021i | 0.588859 | − | 0.339978i | ||||
\(41\) | −10.0223 | −1.56522 | −0.782609 | − | 0.622513i | \(-0.786112\pi\) | ||||
−0.782609 | + | 0.622513i | \(0.786112\pi\) | |||||||
\(42\) | 3.86956 | − | 2.45490i | 0.597085 | − | 0.378799i | ||||
\(43\) | − | 4.66108i | − | 0.710808i | −0.934713 | − | 0.355404i | \(-0.884343\pi\) | ||
0.934713 | − | 0.355404i | \(-0.115657\pi\) | |||||||
\(44\) | 2.78469 | + | 1.80152i | 0.419808 | + | 0.271590i | ||||
\(45\) | −11.9856 | + | 4.77362i | −1.78671 | + | 0.711609i | ||||
\(46\) | 1.48946 | + | 0.859942i | 0.219609 | + | 0.126792i | ||||
\(47\) | 3.24960 | − | 1.87616i | 0.474002 | − | 0.273665i | −0.243911 | − | 0.969798i | \(-0.578431\pi\) |
0.717914 | + | 0.696132i | \(0.245097\pi\) | |||||||
\(48\) | −1.55863 | + | 0.755426i | −0.224969 | + | 0.109036i | ||||
\(49\) | 6.81875 | − | 1.58262i | 0.974107 | − | 0.226088i | ||||
\(50\) | −13.4936 | −1.90828 | ||||||||
\(51\) | −6.23938 | − | 4.23102i | −0.873688 | − | 0.592461i | ||||
\(52\) | −1.92663 | − | 1.11234i | −0.267176 | − | 0.154254i | ||||
\(53\) | −2.14220 | − | 1.23680i | −0.294254 | − | 0.169887i | 0.345605 | − | 0.938380i | \(-0.387674\pi\) |
−0.639859 | + | 0.768493i | \(0.721007\pi\) | |||||||
\(54\) | 4.95362 | − | 1.56896i | 0.674102 | − | 0.213509i | ||||
\(55\) | −6.49729 | − | 12.6970i | −0.876094 | − | 1.71207i | ||||
\(56\) | −2.62857 | + | 0.301041i | −0.351257 | + | 0.0402283i | ||||
\(57\) | 1.17808 | + | 2.43068i | 0.156041 | + | 0.321951i | ||||
\(58\) | −2.26250 | − | 3.91876i | −0.297081 | − | 0.514559i | ||||
\(59\) | −3.19636 | − | 1.84542i | −0.416131 | − | 0.240253i | 0.277290 | − | 0.960786i | \(-0.410564\pi\) |
−0.693420 | + | 0.720533i | \(0.743897\pi\) | |||||||
\(60\) | 7.42908 | + | 0.537973i | 0.959091 | + | 0.0694520i | ||||
\(61\) | −4.02253 | + | 2.32241i | −0.515033 | + | 0.297354i | −0.734900 | − | 0.678176i | \(-0.762771\pi\) |
0.219867 | + | 0.975530i | \(0.429438\pi\) | |||||||
\(62\) | 3.66270 | 0.465163 | ||||||||
\(63\) | 7.93355 | + | 0.242419i | 0.999533 | + | 0.0305419i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 4.78353 | + | 8.28532i | 0.593324 | + | 1.02767i | ||||
\(66\) | 2.24068 | + | 5.28955i | 0.275809 | + | 0.651099i | ||||
\(67\) | −2.08595 | + | 3.61297i | −0.254839 | + | 0.441394i | −0.964852 | − | 0.262795i | \(-0.915356\pi\) |
0.710013 | + | 0.704189i | \(0.248689\pi\) | |||||||
\(68\) | 2.17622 | + | 3.76933i | 0.263906 | + | 0.457098i | ||||
\(69\) | 1.29925 | + | 2.68067i | 0.156411 | + | 0.322714i | ||||
\(70\) | 10.4368 | + | 4.53081i | 1.24744 | + | 0.541535i | ||||
\(71\) | 7.07802i | 0.840006i | 0.907523 | + | 0.420003i | \(0.137971\pi\) | ||||
−0.907523 | + | 0.420003i | \(0.862029\pi\) | |||||||
\(72\) | −2.96870 | − | 0.432220i | −0.349865 | − | 0.0509376i | ||||
\(73\) | 12.7024 | + | 7.33373i | 1.48670 | + | 0.858348i | 0.999885 | − | 0.0151552i | \(-0.00482423\pi\) |
0.486818 | + | 0.873504i | \(0.338158\pi\) | |||||||
\(74\) | 3.36669 | − | 5.83129i | 0.391370 | − | 0.677873i | ||||
\(75\) | −19.3435 | − | 13.1171i | −2.23359 | − | 1.51464i | ||||
\(76\) | − | 1.55949i | − | 0.178886i | ||||||
\(77\) | 0.556035 | + | 8.75733i | 0.0633660 | + | 0.997990i | ||||
\(78\) | −1.68058 | − | 3.46746i | −0.190289 | − | 0.392613i | ||||
\(79\) | 8.48475 | − | 4.89868i | 0.954609 | − | 0.551144i | 0.0600997 | − | 0.998192i | \(-0.480858\pi\) |
0.894510 | + | 0.447048i | \(0.147525\pi\) | |||||||
\(80\) | −3.72427 | − | 2.15021i | −0.416386 | − | 0.240401i | ||||
\(81\) | 8.62637 | + | 2.56627i | 0.958486 | + | 0.285141i | ||||
\(82\) | 5.01114 | + | 8.67956i | 0.553388 | + | 0.958497i | ||||
\(83\) | 17.6583 | 1.93825 | 0.969126 | − | 0.246564i | \(-0.0793017\pi\) | ||||
0.969126 | + | 0.246564i | \(0.0793017\pi\) | |||||||
\(84\) | −4.06078 | − | 2.12368i | −0.443068 | − | 0.231713i | ||||
\(85\) | − | 18.7173i | − | 2.03018i | ||||||
\(86\) | −4.03661 | + | 2.33054i | −0.435279 | + | 0.251309i | ||||
\(87\) | 0.566068 | − | 7.81706i | 0.0606889 | − | 0.838077i | ||||
\(88\) | 0.167821 | − | 3.31238i | 0.0178897 | − | 0.353100i | ||||
\(89\) | 10.8244 | − | 6.24946i | 1.14738 | − | 0.662441i | 0.199134 | − | 0.979972i | \(-0.436187\pi\) |
0.948248 | + | 0.317531i | \(0.102854\pi\) | |||||||
\(90\) | 10.1269 | + | 7.99303i | 1.06747 | + | 0.842539i | ||||
\(91\) | −0.669722 | − | 5.84773i | −0.0702059 | − | 0.613009i | ||||
\(92\) | − | 1.71988i | − | 0.179310i | ||||||
\(93\) | 5.25060 | + | 3.56051i | 0.544462 | + | 0.369208i | ||||
\(94\) | −3.24960 | − | 1.87616i | −0.335170 | − | 0.193511i | ||||
\(95\) | −3.35323 | + | 5.80797i | −0.344035 | + | 0.595885i | ||||
\(96\) | 1.43353 | + | 0.972102i | 0.146309 | + | 0.0992147i | ||||
\(97\) | −0.541718 | −0.0550031 | −0.0275016 | − | 0.999622i | \(-0.508755\pi\) | ||||
−0.0275016 | + | 0.999622i | \(0.508755\pi\) | |||||||
\(98\) | −4.77996 | − | 5.11390i | −0.482849 | − | 0.516582i | ||||
\(99\) | −1.92988 | + | 9.76092i | −0.193961 | + | 0.981009i | ||||
\(100\) | 6.74679 | + | 11.6858i | 0.674679 | + | 1.16858i | ||||
\(101\) | 3.92520 | − | 6.79864i | 0.390572 | − | 0.676490i | −0.601953 | − | 0.798531i | \(-0.705611\pi\) |
0.992525 | + | 0.122041i | \(0.0389440\pi\) | |||||||
\(102\) | −0.544482 | + | 7.51897i | −0.0539118 | + | 0.744489i | ||||
\(103\) | 4.84871 | + | 8.39821i | 0.477758 | + | 0.827500i | 0.999675 | − | 0.0254957i | \(-0.00811641\pi\) |
−0.521917 | + | 0.852996i | \(0.674783\pi\) | |||||||
\(104\) | 2.22468i | 0.218148i | ||||||||
\(105\) | 10.5571 | + | 16.6407i | 1.03027 | + | 1.62397i | ||||
\(106\) | 2.47360i | 0.240257i | ||||||||
\(107\) | −1.75893 | − | 3.04655i | −0.170042 | − | 0.294521i | 0.768392 | − | 0.639979i | \(-0.221057\pi\) |
−0.938434 | + | 0.345458i | \(0.887724\pi\) | |||||||
\(108\) | −3.83557 | − | 3.50548i | −0.369078 | − | 0.337315i | ||||
\(109\) | 2.06323 | + | 1.19121i | 0.197622 | + | 0.114097i | 0.595546 | − | 0.803321i | \(-0.296936\pi\) |
−0.397924 | + | 0.917418i | \(0.630269\pi\) | |||||||
\(110\) | −7.74731 | + | 11.9753i | −0.738677 | + | 1.14180i | ||||
\(111\) | 10.4949 | − | 5.08657i | 0.996129 | − | 0.482796i | ||||
\(112\) | 1.57499 | + | 2.12589i | 0.148823 | + | 0.200877i | ||||
\(113\) | − | 10.4210i | − | 0.980328i | −0.871630 | − | 0.490164i | \(-0.836937\pi\) | ||
0.871630 | − | 0.490164i | \(-0.163063\pi\) | |||||||
\(114\) | 1.51599 | − | 2.23559i | 0.141985 | − | 0.209382i | ||||
\(115\) | −3.69811 | + | 6.40531i | −0.344850 | + | 0.597299i | ||||
\(116\) | −2.26250 | + | 3.91876i | −0.210068 | + | 0.363848i | ||||
\(117\) | 0.961553 | − | 6.60442i | 0.0888956 | − | 0.610579i | ||||
\(118\) | 3.69084i | 0.339769i | ||||||||
\(119\) | −4.58563 | + | 10.5631i | −0.420364 | + | 0.968316i | ||||
\(120\) | −3.24864 | − | 6.70276i | −0.296559 | − | 0.611876i | ||||
\(121\) | −10.9437 | − | 1.11177i | −0.994879 | − | 0.101070i | ||||
\(122\) | 4.02253 | + | 2.32241i | 0.364183 | + | 0.210261i | ||||
\(123\) | −1.25377 | + | 17.3138i | −0.113048 | + | 1.56113i | ||||
\(124\) | −1.83135 | − | 3.17199i | −0.164460 | − | 0.284853i | ||||
\(125\) | − | 36.5259i | − | 3.26697i | ||||||
\(126\) | −3.75683 | − | 6.99187i | −0.334685 | − | 0.622885i | ||||
\(127\) | 2.29923i | 0.204024i | 0.994783 | + | 0.102012i | \(0.0325280\pi\) | ||||
−0.994783 | + | 0.102012i | \(0.967472\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −8.05214 | − | 0.583091i | −0.708951 | − | 0.0513383i | ||||
\(130\) | 4.78353 | − | 8.28532i | 0.419543 | − | 0.726671i | ||||
\(131\) | −3.88858 | − | 6.73522i | −0.339747 | − | 0.588459i | 0.644638 | − | 0.764488i | \(-0.277008\pi\) |
−0.984385 | + | 0.176029i | \(0.943675\pi\) | |||||||
\(132\) | 3.46054 | − | 4.58526i | 0.301202 | − | 0.399096i | ||||
\(133\) | 3.31531 | − | 2.45619i | 0.287473 | − | 0.212979i | ||||
\(134\) | 4.17189 | 0.360397 | ||||||||
\(135\) | 6.74718 | + | 21.3026i | 0.580705 | + | 1.83344i | ||||
\(136\) | 2.17622 | − | 3.76933i | 0.186610 | − | 0.323217i | ||||
\(137\) | 8.00701 | + | 4.62285i | 0.684085 | + | 0.394957i | 0.801392 | − | 0.598139i | \(-0.204093\pi\) |
−0.117307 | + | 0.993096i | \(0.537426\pi\) | |||||||
\(138\) | 1.67190 | − | 2.46551i | 0.142322 | − | 0.209878i | ||||
\(139\) | − | 17.9867i | − | 1.52561i | −0.646626 | − | 0.762807i | \(-0.723821\pi\) | ||
0.646626 | − | 0.762807i | \(-0.276179\pi\) | |||||||
\(140\) | −1.29460 | − | 11.3039i | −0.109414 | − | 0.955357i | ||||
\(141\) | −2.83459 | − | 5.84847i | −0.238716 | − | 0.492530i | ||||
\(142\) | 6.12975 | − | 3.53901i | 0.514397 | − | 0.296987i | ||||
\(143\) | 7.36899 | + | 0.373348i | 0.616226 | + | 0.0312209i | ||||
\(144\) | 1.11004 | + | 2.78708i | 0.0925031 | + | 0.232257i | ||||
\(145\) | 16.8523 | − | 9.72969i | 1.39951 | − | 0.808007i | ||||
\(146\) | − | 14.6675i | − | 1.21389i | ||||||
\(147\) | −1.88100 | − | 11.9776i | −0.155142 | − | 0.987892i | ||||
\(148\) | −6.73339 | −0.553481 | ||||||||
\(149\) | 2.47440 | + | 4.28578i | 0.202711 | + | 0.351105i | 0.949401 | − | 0.314067i | \(-0.101692\pi\) |
−0.746690 | + | 0.665172i | \(0.768358\pi\) | |||||||
\(150\) | −1.68802 | + | 23.3105i | −0.137826 | + | 1.90330i | ||||
\(151\) | 6.71375 | + | 3.87618i | 0.546357 | + | 0.315439i | 0.747651 | − | 0.664091i | \(-0.231181\pi\) |
−0.201294 | + | 0.979531i | \(0.564515\pi\) | |||||||
\(152\) | −1.35056 | + | 0.779747i | −0.109545 | + | 0.0632458i | ||||
\(153\) | −8.08974 | + | 10.2494i | −0.654016 | + | 0.828615i | ||||
\(154\) | 7.30605 | − | 4.86020i | 0.588739 | − | 0.391646i | ||||
\(155\) | 15.7511i | 1.26516i | ||||||||
\(156\) | −2.16262 | + | 3.18916i | −0.173148 | + | 0.255337i | ||||
\(157\) | −7.06587 | + | 12.2385i | −0.563918 | + | 0.976735i | 0.433231 | + | 0.901283i | \(0.357373\pi\) |
−0.997149 | + | 0.0754521i | \(0.975960\pi\) | |||||||
\(158\) | −8.48475 | − | 4.89868i | −0.675011 | − | 0.389718i | ||||
\(159\) | −2.40459 | + | 3.54598i | −0.190696 | + | 0.281215i | ||||
\(160\) | 4.30042i | 0.339978i | ||||||||
\(161\) | 3.65628 | − | 2.70881i | 0.288155 | − | 0.213484i | ||||
\(162\) | −2.09073 | − | 8.75379i | −0.164264 | − | 0.687763i | ||||
\(163\) | 8.63677 | + | 14.9593i | 0.676484 | + | 1.17170i | 0.976033 | + | 0.217623i | \(0.0698304\pi\) |
−0.299549 | + | 0.954081i | \(0.596836\pi\) | |||||||
\(164\) | 5.01114 | − | 8.67956i | 0.391305 | − | 0.677759i | ||||
\(165\) | −22.7473 | + | 9.63587i | −1.77087 | + | 0.750151i | ||||
\(166\) | −8.82916 | − | 15.2926i | −0.685276 | − | 1.18693i | ||||
\(167\) | −14.3557 | −1.11088 | −0.555440 | − | 0.831556i | \(-0.687450\pi\) | ||||
−0.555440 | + | 0.831556i | \(0.687450\pi\) | |||||||
\(168\) | 0.191229 | + | 4.57858i | 0.0147536 | + | 0.353245i | ||||
\(169\) | 8.05078 | 0.619291 | ||||||||
\(170\) | −16.2097 | + | 9.35866i | −1.24323 | + | 0.717777i | ||||
\(171\) | 4.34643 | − | 1.73109i | 0.332380 | − | 0.132380i | ||||
\(172\) | 4.03661 | + | 2.33054i | 0.307789 | + | 0.177702i | ||||
\(173\) | 8.69404 | + | 15.0585i | 0.660996 | + | 1.14488i | 0.980354 | + | 0.197244i | \(0.0631993\pi\) |
−0.319358 | + | 0.947634i | \(0.603467\pi\) | |||||||
\(174\) | −7.05281 | + | 3.41830i | −0.534672 | + | 0.259141i | ||||
\(175\) | −14.2165 | + | 32.7479i | −1.07467 | + | 2.47551i | ||||
\(176\) | −2.95251 | + | 1.51085i | −0.222554 | + | 0.113885i | ||||
\(177\) | −3.58787 | + | 5.29094i | −0.269681 | + | 0.397691i | ||||
\(178\) | −10.8244 | − | 6.24946i | −0.811321 | − | 0.468417i | ||||
\(179\) | −12.6301 | − | 7.29196i | −0.944014 | − | 0.545027i | −0.0527980 | − | 0.998605i | \(-0.516814\pi\) |
−0.891216 | + | 0.453578i | \(0.850147\pi\) | |||||||
\(180\) | 1.85873 | − | 12.7666i | 0.138541 | − | 0.951570i | ||||
\(181\) | −23.8500 | −1.77275 | −0.886377 | − | 0.462964i | \(-0.846786\pi\) | ||||
−0.886377 | + | 0.462964i | \(0.846786\pi\) | |||||||
\(182\) | −4.72943 | + | 3.50386i | −0.350568 | + | 0.259724i | ||||
\(183\) | 3.50882 | + | 7.23957i | 0.259379 | + | 0.535164i | ||||
\(184\) | −1.48946 | + | 0.859942i | −0.109805 | + | 0.0633958i | ||||
\(185\) | 25.0770 | + | 14.4782i | 1.84369 | + | 1.06446i | ||||
\(186\) | 0.458196 | − | 6.32741i | 0.0335965 | − | 0.463948i | ||||
\(187\) | −12.1202 | − | 7.84104i | −0.886318 | − | 0.573394i | ||||
\(188\) | 3.75231i | 0.273665i | ||||||||
\(189\) | 1.41126 | − | 13.6751i | 0.102654 | − | 0.994717i | ||||
\(190\) | 6.70647 | 0.486538 | ||||||||
\(191\) | 1.01941 | − | 0.588558i | 0.0737620 | − | 0.0425865i | −0.462665 | − | 0.886533i | \(-0.653107\pi\) |
0.536427 | + | 0.843946i | \(0.319774\pi\) | |||||||
\(192\) | 0.125098 | − | 1.72753i | 0.00902817 | − | 0.124674i | ||||
\(193\) | −1.67930 | − | 0.969543i | −0.120879 | − | 0.0697893i | 0.438342 | − | 0.898808i | \(-0.355566\pi\) |
−0.559220 | + | 0.829019i | \(0.688899\pi\) | |||||||
\(194\) | 0.270859 | + | 0.469142i | 0.0194465 | + | 0.0336824i | ||||
\(195\) | 14.9115 | − | 7.22720i | 1.06784 | − | 0.517551i | ||||
\(196\) | −2.03879 | + | 6.69652i | −0.145628 | + | 0.478323i | ||||
\(197\) | 1.04430 | 0.0744031 | 0.0372015 | − | 0.999308i | \(-0.488156\pi\) | ||||
0.0372015 | + | 0.999308i | \(0.488156\pi\) | |||||||
\(198\) | 9.41815 | − | 3.20913i | 0.669319 | − | 0.228063i | ||||
\(199\) | 12.1261 | − | 21.0030i | 0.859596 | − | 1.48886i | −0.0127192 | − | 0.999919i | \(-0.504049\pi\) |
0.872315 | − | 0.488944i | \(-0.162618\pi\) | |||||||
\(200\) | 6.74679 | − | 11.6858i | 0.477070 | − | 0.826309i | ||||
\(201\) | 5.98055 | + | 4.05551i | 0.421836 | + | 0.286053i | ||||
\(202\) | −7.85039 | −0.552352 | ||||||||
\(203\) | −11.8943 | + | 1.36221i | −0.834814 | + | 0.0956085i | ||||
\(204\) | 6.78386 | − | 3.28795i | 0.474965 | − | 0.230203i | ||||
\(205\) | −37.3257 | + | 21.5500i | −2.60694 | + | 1.50512i | ||||
\(206\) | 4.84871 | − | 8.39821i | 0.337826 | − | 0.585131i | ||||
\(207\) | 4.79346 | − | 1.90914i | 0.333168 | − | 0.132694i | ||||
\(208\) | 1.92663 | − | 1.11234i | 0.133588 | − | 0.0771270i | ||||
\(209\) | 2.35616 | + | 4.60442i | 0.162979 | + | 0.318495i | ||||
\(210\) | 9.13272 | − | 17.4631i | 0.630218 | − | 1.20507i | ||||
\(211\) | 19.8659i | 1.36762i | 0.729658 | + | 0.683812i | \(0.239679\pi\) | ||||
−0.729658 | + | 0.683812i | \(0.760321\pi\) | |||||||
\(212\) | 2.14220 | − | 1.23680i | 0.147127 | − | 0.0849437i | ||||
\(213\) | 12.2275 | + | 0.885446i | 0.837813 | + | 0.0606697i | ||||
\(214\) | −1.75893 | + | 3.04655i | −0.120238 | + | 0.208258i | ||||
\(215\) | −10.0223 | − | 17.3591i | −0.683514 | − | 1.18388i | ||||
\(216\) | −1.11805 | + | 5.07444i | −0.0760737 | + | 0.345272i | ||||
\(217\) | 3.85893 | − | 8.88910i | 0.261961 | − | 0.603432i | ||||
\(218\) | − | 2.38242i | − | 0.161358i | ||||||
\(219\) | 14.2583 | − | 21.0263i | 0.963484 | − | 1.42083i | ||||
\(220\) | 14.2446 | + | 0.721698i | 0.960370 | + | 0.0486569i | ||||
\(221\) | 8.38557 | + | 4.84141i | 0.564074 | + | 0.325668i | ||||
\(222\) | −9.65254 | − | 6.54554i | −0.647836 | − | 0.439308i | ||||
\(223\) | −17.1150 | −1.14611 | −0.573053 | − | 0.819518i | \(-0.694241\pi\) | ||||
−0.573053 | + | 0.819518i | \(0.694241\pi\) | |||||||
\(224\) | 1.05357 | − | 2.42693i | 0.0703949 | − | 0.162156i | ||||
\(225\) | −25.0800 | + | 31.7755i | −1.67200 | + | 2.11837i | ||||
\(226\) | −9.02487 | + | 5.21051i | −0.600326 | + | 0.346598i | ||||
\(227\) | −9.55949 | + | 16.5575i | −0.634486 | + | 1.09896i | 0.352138 | + | 0.935948i | \(0.385455\pi\) |
−0.986624 | + | 0.163013i | \(0.947879\pi\) | |||||||
\(228\) | −2.69407 | − | 0.195089i | −0.178419 | − | 0.0129201i | ||||
\(229\) | 6.76018 | + | 11.7090i | 0.446725 | + | 0.773751i | 0.998171 | − | 0.0604599i | \(-0.0192567\pi\) |
−0.551445 | + | 0.834211i | \(0.685923\pi\) | |||||||
\(230\) | 7.39622 | 0.487692 | ||||||||
\(231\) | 15.1981 | + | 0.134959i | 0.999961 | + | 0.00887966i | ||||
\(232\) | 4.52500 | 0.297081 | ||||||||
\(233\) | 3.87397 | + | 6.70992i | 0.253792 | + | 0.439581i | 0.964567 | − | 0.263839i | \(-0.0849887\pi\) |
−0.710774 | + | 0.703420i | \(0.751655\pi\) | |||||||
\(234\) | −6.20037 | + | 2.46948i | −0.405331 | + | 0.161435i | ||||
\(235\) | 8.06825 | − | 13.9746i | 0.526314 | − | 0.911603i | ||||
\(236\) | 3.19636 | − | 1.84542i | 0.208065 | − | 0.120127i | ||||
\(237\) | −7.40117 | − | 15.2705i | −0.480758 | − | 0.991923i | ||||
\(238\) | 11.4407 | − | 1.31027i | 0.741591 | − | 0.0849320i | ||||
\(239\) | 11.9552 | 0.773319 | 0.386659 | − | 0.922223i | \(-0.373629\pi\) | ||||
0.386659 | + | 0.922223i | \(0.373629\pi\) | |||||||
\(240\) | −4.18044 | + | 6.16479i | −0.269846 | + | 0.397935i | ||||
\(241\) | −24.4654 | − | 14.1251i | −1.57595 | − | 0.909876i | −0.995416 | − | 0.0956417i | \(-0.969510\pi\) |
−0.580536 | − | 0.814235i | \(-0.697157\pi\) | |||||||
\(242\) | 4.50902 | + | 10.0334i | 0.289851 | + | 0.644970i | ||||
\(243\) | 5.51243 | − | 14.5813i | 0.353623 | − | 0.935388i | ||||
\(244\) | − | 4.64482i | − | 0.297354i | ||||||
\(245\) | 21.9919 | − | 20.5558i | 1.40501 | − | 1.31326i | ||||
\(246\) | 15.6211 | − | 7.57109i | 0.995962 | − | 0.482715i | ||||
\(247\) | −1.73469 | − | 3.00457i | −0.110376 | − | 0.191176i | ||||
\(248\) | −1.83135 | + | 3.17199i | −0.116291 | + | 0.201421i | ||||
\(249\) | 2.20902 | − | 30.5052i | 0.139991 | − | 1.93319i | ||||
\(250\) | −31.6323 | + | 18.2629i | −2.00061 | + | 1.15505i | ||||
\(251\) | 1.79928i | 0.113569i | 0.998386 | + | 0.0567847i | \(0.0180849\pi\) | ||||
−0.998386 | + | 0.0567847i | \(0.981915\pi\) | |||||||
\(252\) | −4.17672 | + | 6.74945i | −0.263108 | + | 0.425175i | ||||
\(253\) | 2.59849 | + | 5.07798i | 0.163366 | + | 0.319250i | ||||
\(254\) | 1.99119 | − | 1.14962i | 0.124939 | − | 0.0721333i | ||||
\(255\) | −32.3347 | − | 2.34150i | −2.02488 | − | 0.146630i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −3.30536 | + | 1.90835i | −0.206183 | + | 0.119040i | −0.599536 | − | 0.800348i | \(-0.704648\pi\) |
0.393353 | + | 0.919387i | \(0.371315\pi\) | |||||||
\(258\) | 3.52110 | + | 7.26490i | 0.219214 | + | 0.452293i | ||||
\(259\) | −10.6050 | − | 14.3144i | −0.658966 | − | 0.889455i | ||||
\(260\) | −9.56706 | −0.593324 | ||||||||
\(261\) | −13.4334 | − | 1.95580i | −0.831505 | − | 0.121061i | ||||
\(262\) | −3.88858 | + | 6.73522i | −0.240237 | + | 0.416103i | ||||
\(263\) | −7.81378 | + | 13.5339i | −0.481818 | + | 0.834533i | −0.999782 | − | 0.0208689i | \(-0.993357\pi\) |
0.517964 | + | 0.855402i | \(0.326690\pi\) | |||||||
\(264\) | −5.70123 | − | 0.704286i | −0.350886 | − | 0.0433458i | ||||
\(265\) | −10.6375 | −0.653456 | ||||||||
\(266\) | −3.78478 | − | 1.64304i | −0.232060 | − | 0.100741i | ||||
\(267\) | −9.44200 | − | 19.4812i | −0.577841 | − | 1.19223i | ||||
\(268\) | −2.08595 | − | 3.61297i | −0.127420 | − | 0.220697i | ||||
\(269\) | −10.1509 | − | 5.86060i | −0.618909 | − | 0.357327i | 0.157535 | − | 0.987513i | \(-0.449645\pi\) |
−0.776444 | + | 0.630186i | \(0.782979\pi\) | |||||||
\(270\) | 15.0750 | − | 16.4945i | 0.917437 | − | 1.00383i | ||||
\(271\) | 9.87548 | − | 5.70161i | 0.599893 | − | 0.346348i | −0.169107 | − | 0.985598i | \(-0.554088\pi\) |
0.768999 | + | 0.639249i | \(0.220755\pi\) | |||||||
\(272\) | −4.35245 | −0.263906 | ||||||||
\(273\) | −10.1859 | + | 0.425423i | −0.616479 | + | 0.0257478i | ||||
\(274\) | − | 9.24570i | − | 0.558553i | ||||||
\(275\) | −37.5754 | − | 24.3090i | −2.26588 | − | 1.46589i | ||||
\(276\) | −2.97115 | − | 0.215154i | −0.178842 | − | 0.0129508i | ||||
\(277\) | 19.9310 | + | 11.5072i | 1.19754 | + | 0.691398i | 0.960005 | − | 0.279982i | \(-0.0903284\pi\) |
0.237531 | + | 0.971380i | \(0.423662\pi\) | |||||||
\(278\) | −15.5770 | + | 8.99336i | −0.934244 | + | 0.539386i | ||||
\(279\) | 6.80772 | − | 8.62514i | 0.407568 | − | 0.516374i | ||||
\(280\) | −9.14220 | + | 6.77313i | −0.546351 | + | 0.404772i | ||||
\(281\) | −10.8023 | −0.644409 | −0.322205 | − | 0.946670i | \(-0.604424\pi\) | ||||
−0.322205 | + | 0.946670i | \(0.604424\pi\) | |||||||
\(282\) | −3.64763 | + | 5.37906i | −0.217213 | + | 0.320319i | ||||
\(283\) | 13.2070 | + | 7.62507i | 0.785075 | + | 0.453263i | 0.838226 | − | 0.545323i | \(-0.183593\pi\) |
−0.0531507 | + | 0.998587i | \(0.516926\pi\) | |||||||
\(284\) | −6.12975 | − | 3.53901i | −0.363733 | − | 0.210002i | ||||
\(285\) | 9.61395 | + | 6.51937i | 0.569481 | + | 0.386174i | ||||
\(286\) | −3.36117 | − | 6.56841i | −0.198750 | − | 0.388398i | ||||
\(287\) | 26.3443 | − | 3.01712i | 1.55505 | − | 0.178095i | ||||
\(288\) | 1.85866 | − | 2.35486i | 0.109523 | − | 0.138761i | ||||
\(289\) | −0.971897 | − | 1.68337i | −0.0571704 | − | 0.0990220i | ||||
\(290\) | −16.8523 | − | 9.72969i | −0.989602 | − | 0.571347i | ||||
\(291\) | −0.0677678 | + | 0.935833i | −0.00397262 | + | 0.0548595i | ||||
\(292\) | −12.7024 | + | 7.33373i | −0.743351 | + | 0.429174i | ||||
\(293\) | −10.6037 | −0.619474 | −0.309737 | − | 0.950822i | \(-0.600241\pi\) | ||||
−0.309737 | + | 0.950822i | \(0.600241\pi\) | |||||||
\(294\) | −9.43237 | + | 7.61777i | −0.550107 | + | 0.444278i | ||||
\(295\) | −15.8721 | −0.924112 | ||||||||
\(296\) | 3.36669 | + | 5.83129i | 0.195685 | + | 0.338937i | ||||
\(297\) | 16.6208 | + | 4.55500i | 0.964438 | + | 0.264308i | ||||
\(298\) | 2.47440 | − | 4.28578i | 0.143338 | − | 0.248269i | ||||
\(299\) | −1.91310 | − | 3.31359i | −0.110637 | − | 0.191630i | ||||
\(300\) | 21.0315 | − | 10.1934i | 1.21425 | − | 0.588516i | ||||
\(301\) | 1.40318 | + | 12.2520i | 0.0808778 | + | 0.706192i | ||||
\(302\) | − | 7.75237i | − | 0.446099i | ||||||
\(303\) | −11.2538 | − | 7.63138i | −0.646514 | − | 0.438411i | ||||
\(304\) | 1.35056 | + | 0.779747i | 0.0774600 | + | 0.0447215i | ||||
\(305\) | −9.98733 | + | 17.2986i | −0.571873 | + | 0.990513i | ||||
\(306\) | 12.9211 | + | 1.88122i | 0.738651 | + | 0.107542i | ||||
\(307\) | 6.44519i | 0.367846i | 0.982941 | + | 0.183923i | \(0.0588797\pi\) | ||||
−0.982941 | + | 0.183923i | \(0.941120\pi\) | |||||||
\(308\) | −7.86209 | − | 3.89712i | −0.447984 | − | 0.222059i | ||||
\(309\) | 15.1147 | − | 7.32568i | 0.859845 | − | 0.416743i | ||||
\(310\) | 13.6409 | − | 7.87556i | 0.774749 | − | 0.447302i | ||||
\(311\) | −8.01305 | − | 4.62634i | −0.454378 | − | 0.262335i | 0.255299 | − | 0.966862i | \(-0.417826\pi\) |
−0.709678 | + | 0.704527i | \(0.751159\pi\) | |||||||
\(312\) | 3.84320 | + | 0.278303i | 0.217578 | + | 0.0157558i | ||||
\(313\) | −0.408129 | − | 0.706900i | −0.0230688 | − | 0.0399563i | 0.854261 | − | 0.519845i | \(-0.174010\pi\) |
−0.877329 | + | 0.479889i | \(0.840677\pi\) | |||||||
\(314\) | 14.1317 | 0.797501 | ||||||||
\(315\) | 30.0679 | − | 16.1559i | 1.69414 | − | 0.910285i | ||||
\(316\) | 9.79735i | 0.551144i | ||||||||
\(317\) | 7.19272 | − | 4.15272i | 0.403983 | − | 0.233240i | −0.284218 | − | 0.958760i | \(-0.591734\pi\) |
0.688201 | + | 0.725520i | \(0.258401\pi\) | |||||||
\(318\) | 4.27321 | + | 0.309442i | 0.239630 | + | 0.0173526i | ||||
\(319\) | 0.759388 | − | 14.9885i | 0.0425175 | − | 0.839195i | ||||
\(320\) | 3.72427 | − | 2.15021i | 0.208193 | − | 0.120200i | ||||
\(321\) | −5.48304 | + | 2.65748i | −0.306033 | + | 0.148326i | ||||
\(322\) | −4.17404 | − | 1.81203i | −0.232610 | − | 0.100980i | ||||
\(323\) | 6.78761i | 0.377673i | ||||||||
\(324\) | −6.53564 | + | 6.18752i | −0.363091 | + | 0.343751i | ||||
\(325\) | 25.9972 | + | 15.0095i | 1.44206 | + | 0.832575i | ||||
\(326\) | 8.63677 | − | 14.9593i | 0.478346 | − | 0.828520i | ||||
\(327\) | 2.31595 | − | 3.41528i | 0.128072 | − | 0.188865i | ||||
\(328\) | −10.0223 | −0.553388 | ||||||||
\(329\) | −7.97699 | + | 5.90987i | −0.439785 | + | 0.325821i | ||||
\(330\) | 19.7185 | + | 14.8818i | 1.08547 | + | 0.819215i | ||||
\(331\) | −11.4714 | − | 19.8690i | −0.630523 | − | 1.09210i | −0.987445 | − | 0.157963i | \(-0.949507\pi\) |
0.356922 | − | 0.934134i | \(-0.383826\pi\) | |||||||
\(332\) | −8.82916 | + | 15.2926i | −0.484563 | + | 0.839288i | ||||
\(333\) | −7.47431 | − | 18.7665i | −0.409590 | − | 1.02840i | ||||
\(334\) | 7.17787 | + | 12.4324i | 0.392756 | + | 0.680273i | ||||
\(335\) | 17.9409i | 0.980215i | ||||||||
\(336\) | 3.86956 | − | 2.45490i | 0.211102 | − | 0.133926i | ||||
\(337\) | 33.7202i | 1.83686i | 0.395587 | + | 0.918429i | \(0.370541\pi\) | ||||
−0.395587 | + | 0.918429i | \(0.629459\pi\) | |||||||
\(338\) | −4.02539 | − | 6.97218i | −0.218952 | − | 0.379237i | ||||
\(339\) | −18.0026 | − | 1.30365i | −0.977767 | − | 0.0708045i | ||||
\(340\) | 16.2097 | + | 9.35866i | 0.879093 | + | 0.507545i | ||||
\(341\) | 10.1995 | + | 6.59844i | 0.552333 | + | 0.357326i | ||||
\(342\) | −3.67239 | − | 2.89857i | −0.198580 | − | 0.156737i | ||||
\(343\) | −17.4471 | + | 6.21274i | −0.942056 | + | 0.335456i | ||||
\(344\) | − | 4.66108i | − | 0.251309i | ||||||
\(345\) | 10.6027 | + | 7.18988i | 0.570832 | + | 0.387090i | ||||
\(346\) | 8.69404 | − | 15.0585i | 0.467395 | − | 0.809551i | ||||
\(347\) | −3.83938 | + | 6.65000i | −0.206109 | + | 0.356991i | −0.950485 | − | 0.310769i | \(-0.899413\pi\) |
0.744377 | + | 0.667760i | \(0.232747\pi\) | |||||||
\(348\) | 6.48674 | + | 4.39876i | 0.347726 | + | 0.235798i | ||||
\(349\) | 3.88135i | 0.207764i | 0.994590 | + | 0.103882i | \(0.0331265\pi\) | ||||
−0.994590 | + | 0.103882i | \(0.966874\pi\) | |||||||
\(350\) | 35.4688 | − | 4.06212i | 1.89589 | − | 0.217130i | ||||
\(351\) | −11.2890 | − | 2.48731i | −0.602564 | − | 0.132763i | ||||
\(352\) | 2.78469 | + | 1.80152i | 0.148425 | + | 0.0960216i | ||||
\(353\) | −2.97893 | − | 1.71988i | −0.158552 | − | 0.0915402i | 0.418625 | − | 0.908159i | \(-0.362512\pi\) |
−0.577177 | + | 0.816619i | \(0.695846\pi\) | |||||||
\(354\) | 6.37602 | + | 0.461716i | 0.338882 | + | 0.0245399i | ||||
\(355\) | 15.2192 | + | 26.3605i | 0.807752 | + | 1.39907i | ||||
\(356\) | 12.4989i | 0.662441i | ||||||||
\(357\) | 17.6743 | + | 9.24322i | 0.935426 | + | 0.489203i | ||||
\(358\) | 14.5839i | 0.770785i | ||||||||
\(359\) | 11.0163 | + | 19.0808i | 0.581419 | + | 1.00705i | 0.995312 | + | 0.0967211i | \(0.0308355\pi\) |
−0.413893 | + | 0.910326i | \(0.635831\pi\) | |||||||
\(360\) | −11.9856 | + | 4.77362i | −0.631697 | + | 0.251592i | ||||
\(361\) | −8.28399 | + | 14.3483i | −0.435999 | + | 0.755173i | ||||
\(362\) | 11.9250 | + | 20.6547i | 0.626763 | + | 1.08559i | ||||
\(363\) | −3.28964 | + | 18.7664i | −0.172661 | + | 0.984981i | ||||
\(364\) | 5.39915 | + | 2.34387i | 0.282992 | + | 0.122852i | ||||
\(365\) | 63.0762 | 3.30156 | ||||||||
\(366\) | 4.51524 | − | 6.65851i | 0.236015 | − | 0.348046i | ||||
\(367\) | 5.41730 | − | 9.38303i | 0.282781 | − | 0.489790i | −0.689288 | − | 0.724487i | \(-0.742077\pi\) |
0.972069 | + | 0.234697i | \(0.0754099\pi\) | |||||||
\(368\) | 1.48946 | + | 0.859942i | 0.0776437 | + | 0.0448276i | ||||
\(369\) | 29.7532 | + | 4.33184i | 1.54889 | + | 0.225506i | ||||
\(370\) | − | 28.9564i | − | 1.50537i | ||||||
\(371\) | 6.00324 | + | 2.60612i | 0.311673 | + | 0.135303i | ||||
\(372\) | −5.70879 | + | 2.76690i | −0.295987 | + | 0.143457i | ||||
\(373\) | −5.25214 | + | 3.03232i | −0.271945 | + | 0.157008i | −0.629771 | − | 0.776781i | \(-0.716851\pi\) |
0.357826 | + | 0.933788i | \(0.383518\pi\) | |||||||
\(374\) | −0.730430 | + | 14.4169i | −0.0377696 | + | 0.745482i | ||||
\(375\) | −63.0995 | − | 4.56931i | −3.25844 | − | 0.235958i | ||||
\(376\) | 3.24960 | − | 1.87616i | 0.167585 | − | 0.0967553i | ||||
\(377\) | 10.0667i | 0.518461i | ||||||||
\(378\) | −12.5486 | + | 5.61537i | −0.645431 | + | 0.288823i | ||||
\(379\) | −1.95715 | −0.100532 | −0.0502659 | − | 0.998736i | \(-0.516007\pi\) | ||||
−0.0502659 | + | 0.998736i | \(0.516007\pi\) | |||||||
\(380\) | −3.35323 | − | 5.80797i | −0.172017 | − | 0.297943i | ||||
\(381\) | 3.97198 | + | 0.287629i | 0.203491 | + | 0.0147357i | ||||
\(382\) | −1.01941 | − | 0.588558i | −0.0521576 | − | 0.0301132i | ||||
\(383\) | 9.20867 | − | 5.31663i | 0.470541 | − | 0.271667i | −0.245925 | − | 0.969289i | \(-0.579092\pi\) |
0.716466 | + | 0.697622i | \(0.245758\pi\) | |||||||
\(384\) | −1.55863 | + | 0.755426i | −0.0795386 | + | 0.0385502i | ||||
\(385\) | 20.9009 | + | 31.4191i | 1.06521 | + | 1.60126i | ||||
\(386\) | 1.93909i | 0.0986969i | ||||||||
\(387\) | −2.01461 | + | 13.8373i | −0.102409 | + | 0.703392i | ||||
\(388\) | 0.270859 | − | 0.469142i | 0.0137508 | − | 0.0238171i | ||||
\(389\) | −17.3287 | − | 10.0047i | −0.878601 | − | 0.507261i | −0.00840444 | − | 0.999965i | \(-0.502675\pi\) |
−0.870197 | + | 0.492704i | \(0.836009\pi\) | |||||||
\(390\) | −13.7147 | − | 9.30016i | −0.694471 | − | 0.470932i | ||||
\(391\) | 7.48571i | 0.378568i | ||||||||
\(392\) | 6.81875 | − | 1.58262i | 0.344399 | − | 0.0799342i | ||||
\(393\) | −12.1217 | + | 5.87507i | −0.611460 | + | 0.296358i | ||||
\(394\) | −0.522149 | − | 0.904388i | −0.0263055 | − | 0.0455624i | ||||
\(395\) | 21.0663 | − | 36.4880i | 1.05996 | − | 1.83591i | ||||
\(396\) | −7.48826 | − | 6.55179i | −0.376299 | − | 0.329240i | ||||
\(397\) | 8.09039 | + | 14.0130i | 0.406045 | + | 0.703291i | 0.994443 | − | 0.105281i | \(-0.0335742\pi\) |
−0.588397 | + | 0.808572i | \(0.700241\pi\) | |||||||
\(398\) | −24.2522 | −1.21565 | ||||||||
\(399\) | −3.82840 | − | 6.03455i | −0.191660 | − | 0.302105i | ||||
\(400\) | −13.4936 | −0.674679 | ||||||||
\(401\) | −20.3865 | + | 11.7702i | −1.01805 | + | 0.587774i | −0.913540 | − | 0.406750i | \(-0.866662\pi\) |
−0.104514 | + | 0.994523i | \(0.533329\pi\) | |||||||
\(402\) | 0.521895 | − | 7.20706i | 0.0260298 | − | 0.359456i | ||||
\(403\) | −7.05667 | − | 4.07417i | −0.351518 | − | 0.202949i | ||||
\(404\) | 3.92520 | + | 6.79864i | 0.195286 | + | 0.338245i | ||||
\(405\) | 37.6449 | − | 8.99103i | 1.87059 | − | 0.446768i | ||||
\(406\) | 7.12685 | + | 9.61964i | 0.353699 | + | 0.477415i | ||||
\(407\) | 19.8804 | − | 10.1731i | 0.985436 | − | 0.504264i | ||||
\(408\) | −6.23938 | − | 4.23102i | −0.308895 | − | 0.209467i | ||||
\(409\) | −29.6972 | − | 17.1457i | −1.46843 | − | 0.847800i | −0.469059 | − | 0.883167i | \(-0.655407\pi\) |
−0.999374 | + | 0.0353664i | \(0.988740\pi\) | |||||||
\(410\) | 37.3257 | + | 21.5500i | 1.84338 | + | 1.06428i | ||||
\(411\) | 8.98776 | − | 13.2540i | 0.443334 | − | 0.653773i | ||||
\(412\) | −9.69742 | −0.477758 | ||||||||
\(413\) | 8.95740 | + | 3.88857i | 0.440765 | + | 0.191344i | ||||
\(414\) | −4.05009 | − | 3.19669i | −0.199051 | − | 0.157109i | ||||
\(415\) | 65.7643 | − | 37.9691i | 3.22824 | − | 1.86383i | ||||
\(416\) | −1.92663 | − | 1.11234i | −0.0944609 | − | 0.0545370i | ||||
\(417\) | −31.0726 | − | 2.25010i | −1.52163 | − | 0.110188i | ||||
\(418\) | 2.80947 | − | 4.34271i | 0.137415 | − | 0.212409i | ||||
\(419\) | 23.8983i | 1.16751i | 0.811930 | + | 0.583755i | \(0.198417\pi\) | ||||
−0.811930 | + | 0.583755i | \(0.801583\pi\) | |||||||
\(420\) | −19.6898 | + | 0.822363i | −0.960765 | + | 0.0401272i | ||||
\(421\) | 21.3778 | 1.04189 | 0.520944 | − | 0.853591i | \(-0.325580\pi\) | ||||
0.520944 | + | 0.853591i | \(0.325580\pi\) | |||||||
\(422\) | 17.2044 | − | 9.93294i | 0.837495 | − | 0.483528i | ||||
\(423\) | −10.4580 | + | 4.16520i | −0.508485 | + | 0.202519i | ||||
\(424\) | −2.14220 | − | 1.23680i | −0.104034 | − | 0.0600643i | ||||
\(425\) | −29.3650 | − | 50.8617i | −1.42441 | − | 2.46716i | ||||
\(426\) | −5.34692 | − | 11.0320i | −0.259059 | − | 0.534503i | ||||
\(427\) | 9.87437 | − | 7.31557i | 0.477854 | − | 0.354025i | ||||
\(428\) | 3.51786 | 0.170042 | ||||||||
\(429\) | 1.56681 | − | 12.6834i | 0.0756465 | − | 0.612361i | ||||
\(430\) | −10.0223 | + | 17.3591i | −0.483318 | + | 0.837131i | ||||
\(431\) | −1.14236 | + | 1.97863i | −0.0550256 | + | 0.0953071i | −0.892226 | − | 0.451589i | \(-0.850857\pi\) |
0.837201 | + | 0.546896i | \(0.184191\pi\) | |||||||
\(432\) | 4.95362 | − | 1.56896i | 0.238331 | − | 0.0754867i | ||||
\(433\) | −10.0236 | −0.481702 | −0.240851 | − | 0.970562i | \(-0.577427\pi\) | ||||
−0.240851 | + | 0.970562i | \(0.577427\pi\) | |||||||
\(434\) | −9.62765 | + | 1.10262i | −0.462142 | + | 0.0529276i | ||||
\(435\) | −14.7001 | − | 30.3300i | −0.704816 | − | 1.45421i | ||||
\(436\) | −2.06323 | + | 1.19121i | −0.0988110 | + | 0.0570486i | ||||
\(437\) | 1.34107 | − | 2.32281i | 0.0641523 | − | 0.111115i | ||||
\(438\) | −25.3384 | − | 1.83487i | −1.21072 | − | 0.0876735i | ||||
\(439\) | −5.95435 | + | 3.43774i | −0.284185 | + | 0.164075i | −0.635317 | − | 0.772252i | \(-0.719130\pi\) |
0.351131 | + | 0.936326i | \(0.385797\pi\) | |||||||
\(440\) | −6.49729 | − | 12.6970i | −0.309746 | − | 0.605307i | ||||
\(441\) | −20.9269 | + | 1.75111i | −0.996517 | + | 0.0833863i | ||||
\(442\) | − | 9.68282i | − | 0.460565i | ||||||
\(443\) | 18.4525 | − | 10.6536i | 0.876706 | − | 0.506166i | 0.00713504 | − | 0.999975i | \(-0.497729\pi\) |
0.869571 | + | 0.493808i | \(0.164395\pi\) | |||||||
\(444\) | −0.842333 | + | 11.6321i | −0.0399754 | + | 0.552036i | ||||
\(445\) | 26.8753 | − | 46.5493i | 1.27401 | − | 2.20665i | ||||
\(446\) | 8.55750 | + | 14.8220i | 0.405210 | + | 0.701844i | ||||
\(447\) | 7.71335 | − | 3.73845i | 0.364829 | − | 0.176823i | ||||
\(448\) | −2.62857 | + | 0.301041i | −0.124188 | + | 0.0142229i | ||||
\(449\) | 11.3648i | 0.536340i | 0.963372 | + | 0.268170i | \(0.0864189\pi\) | ||||
−0.963372 | + | 0.268170i | \(0.913581\pi\) | |||||||
\(450\) | 40.0584 | + | 5.83219i | 1.88837 | + | 0.274932i | ||||
\(451\) | −1.68195 | + | 33.1976i | −0.0791997 | + | 1.56321i | ||||
\(452\) | 9.02487 | + | 5.21051i | 0.424494 | + | 0.245082i | ||||
\(453\) | 7.53609 | − | 11.1133i | 0.354076 | − | 0.522148i | ||||
\(454\) | 19.1190 | 0.897298 | ||||||||
\(455\) | −15.0681 | − | 20.3385i | −0.706402 | − | 0.953483i | ||||
\(456\) | 1.17808 | + | 2.43068i | 0.0551687 | + | 0.113827i | ||||
\(457\) | 0.879305 | − | 0.507667i | 0.0411321 | − | 0.0237476i | −0.479293 | − | 0.877655i | \(-0.659107\pi\) |
0.520425 | + | 0.853907i | \(0.325774\pi\) | |||||||
\(458\) | 6.76018 | − | 11.7090i | 0.315883 | − | 0.547125i | ||||
\(459\) | 16.6941 | + | 15.2574i | 0.779215 | + | 0.712155i | ||||
\(460\) | −3.69811 | − | 6.40531i | −0.172425 | − | 0.298649i | ||||
\(461\) | −29.8887 | −1.39206 | −0.696029 | − | 0.718014i | \(-0.745051\pi\) | ||||
−0.696029 | + | 0.718014i | \(0.745051\pi\) | |||||||
\(462\) | −7.48216 | − | 13.2294i | −0.348102 | − | 0.615488i | ||||
\(463\) | −8.61123 | −0.400198 | −0.200099 | − | 0.979776i | \(-0.564126\pi\) | ||||
−0.200099 | + | 0.979776i | \(0.564126\pi\) | |||||||
\(464\) | −2.26250 | − | 3.91876i | −0.105034 | − | 0.181924i | ||||
\(465\) | 27.2105 | + | 1.97043i | 1.26186 | + | 0.0913766i | ||||
\(466\) | 3.87397 | − | 6.70992i | 0.179458 | − | 0.310831i | ||||
\(467\) | −31.5910 | + | 18.2391i | −1.46186 | + | 0.844003i | −0.999097 | − | 0.0424805i | \(-0.986474\pi\) |
−0.462759 | + | 0.886484i | \(0.653141\pi\) | |||||||
\(468\) | 5.23882 | + | 4.13494i | 0.242164 | + | 0.191138i | ||||
\(469\) | 4.39540 | − | 10.1249i | 0.202961 | − | 0.467524i | ||||
\(470\) | −16.1365 | −0.744321 | ||||||||
\(471\) | 20.2583 | + | 13.7375i | 0.933455 | + | 0.632990i | ||||
\(472\) | −3.19636 | − | 1.84542i | −0.147124 | − | 0.0849423i | ||||
\(473\) | −15.4392 | − | 0.782225i | −0.709897 | − | 0.0359667i | ||||
\(474\) | −9.52402 | + | 14.0448i | −0.437453 | + | 0.645100i | ||||
\(475\) | 21.0431i | 0.965525i | ||||||||
\(476\) | −6.85508 | − | 9.25281i | −0.314202 | − | 0.424102i | ||||
\(477\) | 5.82498 | + | 4.59759i | 0.266707 | + | 0.210509i | ||||
\(478\) | −5.97761 | − | 10.3535i | −0.273410 | − | 0.473559i | ||||
\(479\) | −2.94400 | + | 5.09916i | −0.134515 | + | 0.232987i | −0.925412 | − | 0.378962i | \(-0.876281\pi\) |
0.790897 | + | 0.611949i | \(0.209614\pi\) | |||||||
\(480\) | 7.42908 | + | 0.537973i | 0.339090 | + | 0.0245550i | ||||
\(481\) | −12.9728 | + | 7.48983i | −0.591507 | + | 0.341507i | ||||
\(482\) | 28.2502i | 1.28676i | ||||||||
\(483\) | −4.22215 | − | 6.65519i | −0.192114 | − | 0.302822i | ||||
\(484\) | 6.43466 | − | 8.92161i | 0.292484 | − | 0.405528i | ||||
\(485\) | −2.01750 | + | 1.16481i | −0.0916101 | + | 0.0528911i | ||||
\(486\) | −15.3840 | + | 2.51672i | −0.697830 | + | 0.114161i | ||||
\(487\) | 13.0643 | − | 22.6280i | 0.592000 | − | 1.02537i | −0.401963 | − | 0.915656i | \(-0.631672\pi\) |
0.993963 | − | 0.109718i | \(-0.0349948\pi\) | |||||||
\(488\) | −4.02253 | + | 2.32241i | −0.182092 | + | 0.105131i | ||||
\(489\) | 26.9231 | − | 13.0489i | 1.21750 | − | 0.590090i | ||||
\(490\) | −28.7978 | − | 8.76764i | −1.30095 | − | 0.396081i | ||||
\(491\) | −3.67030 | −0.165639 | −0.0828193 | − | 0.996565i | \(-0.526392\pi\) | ||||
−0.0828193 | + | 0.996565i | \(0.526392\pi\) | |||||||
\(492\) | −14.3673 | − | 9.74268i | −0.647727 | − | 0.439234i | ||||
\(493\) | 9.84741 | − | 17.0562i | 0.443505 | − | 0.768173i | ||||
\(494\) | −1.73469 | + | 3.00457i | −0.0780474 | + | 0.135182i | ||||
\(495\) | 13.8006 | + | 40.5019i | 0.620291 | + | 1.82043i | ||||
\(496\) | 3.66270 | 0.164460 | ||||||||
\(497\) | −2.13078 | − | 18.6051i | −0.0955784 | − | 0.834551i | ||||
\(498\) | −27.5228 | + | 13.3396i | −1.23333 | + | 0.597760i | ||||
\(499\) | 0.575545 | + | 0.996873i | 0.0257649 | + | 0.0446262i | 0.878620 | − | 0.477521i | \(-0.158465\pi\) |
−0.852855 | + | 0.522147i | \(0.825131\pi\) | |||||||
\(500\) | 31.6323 | + | 18.2629i | 1.41464 | + | 0.816744i | ||||
\(501\) | −1.79587 | + | 24.7999i | −0.0802337 | + | 1.10798i | ||||
\(502\) | 1.55822 | − | 0.899639i | 0.0695468 | − | 0.0401528i | ||||
\(503\) | −10.1687 | −0.453401 | −0.226701 | − | 0.973965i | \(-0.572794\pi\) | ||||
−0.226701 | + | 0.973965i | \(0.572794\pi\) | |||||||
\(504\) | 7.93355 | + | 0.242419i | 0.353388 | + | 0.0107982i | ||||
\(505\) | − | 33.7599i | − | 1.50230i | ||||||
\(506\) | 3.09842 | − | 4.78935i | 0.137741 | − | 0.212913i | ||||
\(507\) | 1.00714 | − | 13.9079i | 0.0447285 | − | 0.617674i | ||||
\(508\) | −1.99119 | − | 1.14962i | −0.0883449 | − | 0.0510059i | ||||
\(509\) | −0.280452 | + | 0.161919i | −0.0124308 | + | 0.00717692i | −0.506203 | − | 0.862415i | \(-0.668951\pi\) |
0.493772 | + | 0.869592i | \(0.335618\pi\) | |||||||
\(510\) | 14.1396 | + | 29.1734i | 0.626110 | + | 1.29182i | ||||
\(511\) | −35.5969 | − | 15.4533i | −1.57471 | − | 0.683612i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −2.44678 | − | 7.72514i | −0.108028 | − | 0.341073i | ||||
\(514\) | 3.30536 | + | 1.90835i | 0.145793 | + | 0.0841738i | ||||
\(515\) | 36.1158 | + | 20.8515i | 1.59145 | + | 0.918825i | ||||
\(516\) | 4.53104 | − | 6.68181i | 0.199468 | − | 0.294150i | ||||
\(517\) | −5.66918 | − | 11.0787i | −0.249330 | − | 0.487243i | ||||
\(518\) | −7.09413 | + | 16.3415i | −0.311698 | + | 0.718002i | ||||
\(519\) | 27.1016 | − | 13.1354i | 1.18963 | − | 0.576580i | ||||
\(520\) | 4.78353 | + | 8.28532i | 0.209772 | + | 0.363335i | ||||
\(521\) | −30.0787 | − | 17.3659i | −1.31777 | − | 0.760815i | −0.334400 | − | 0.942431i | \(-0.608534\pi\) |
−0.983369 | + | 0.181616i | \(0.941867\pi\) | |||||||
\(522\) | 5.02292 | + | 12.6115i | 0.219847 | + | 0.551992i | ||||
\(523\) | −0.209525 | + | 0.120969i | −0.00916189 | + | 0.00528962i | −0.504574 | − | 0.863368i | \(-0.668350\pi\) |
0.495412 | + | 0.868658i | \(0.335017\pi\) | |||||||
\(524\) | 7.77716 | 0.339747 | ||||||||
\(525\) | 54.7945 | + | 28.6561i | 2.39143 | + | 1.25065i | ||||
\(526\) | 15.6276 | 0.681394 | ||||||||
\(527\) | 7.97085 | + | 13.8059i | 0.347216 | + | 0.601395i | ||||
\(528\) | 2.24068 | + | 5.28955i | 0.0975132 | + | 0.230198i | ||||
\(529\) | −10.0210 | + | 17.3569i | −0.435696 | + | 0.754647i | ||||
\(530\) | 5.31875 | + | 9.21234i | 0.231032 | + | 0.400159i | ||||
\(531\) | 8.69141 | + | 6.86003i | 0.377175 | + | 0.297700i | ||||
\(532\) | 0.469472 | + | 4.09924i | 0.0203542 | + | 0.177724i | ||||
\(533\) | − | 22.2964i | − | 0.965765i | ||||||
\(534\) | −12.1502 | + | 17.9176i | −0.525791 | + | 0.775371i | ||||
\(535\) | −13.1014 | − | 7.56412i | −0.566425 | − | 0.327025i | ||||
\(536\) | −2.08595 | + | 3.61297i | −0.0900992 | + | 0.156056i | ||||
\(537\) | −14.1771 | + | 20.9066i | −0.611785 | + | 0.902184i | ||||
\(538\) | 11.7212i | 0.505337i | ||||||||
\(539\) | −4.09789 | − | 22.8519i | −0.176509 | − | 0.984299i | ||||
\(540\) | −21.8222 | − | 4.80808i | −0.939078 | − | 0.206907i | ||||
\(541\) | 26.1669 | − | 15.1074i | 1.12500 | − | 0.649520i | 0.182328 | − | 0.983238i | \(-0.441637\pi\) |
0.942673 | + | 0.333718i | \(0.108303\pi\) | |||||||
\(542\) | −9.87548 | − | 5.70161i | −0.424188 | − | 0.244905i | ||||
\(543\) | −2.98358 | + | 41.2015i | −0.128038 | + | 1.76812i | ||||
\(544\) | 2.17622 | + | 3.76933i | 0.0933048 | + | 0.161609i | ||||
\(545\) | 10.2454 | 0.438864 | ||||||||
\(546\) | 5.46138 | + | 8.60854i | 0.233725 | + | 0.368411i | ||||
\(547\) | 6.15235i | 0.263056i | 0.991312 | + | 0.131528i | \(0.0419883\pi\) | ||||
−0.991312 | + | 0.131528i | \(0.958012\pi\) | |||||||
\(548\) | −8.00701 | + | 4.62285i | −0.342043 | + | 0.197478i | ||||
\(549\) | 12.9455 | − | 5.15592i | 0.552500 | − | 0.220049i | ||||
\(550\) | −2.26450 | + | 44.6958i | −0.0965585 | + | 1.90583i | ||||
\(551\) | −6.11129 | + | 3.52835i | −0.260350 | + | 0.150313i | ||||
\(552\) | 1.29925 | + | 2.68067i | 0.0552995 | + | 0.114097i | ||||
\(553\) | −20.8281 | + | 15.4308i | −0.885699 | + | 0.656183i | ||||
\(554\) | − | 23.0143i | − | 0.977785i | ||||||
\(555\) | 28.1485 | − | 41.5099i | 1.19484 | − | 1.76200i | ||||
\(556\) | 15.5770 | + | 8.99336i | 0.660610 | + | 0.381403i | ||||
\(557\) | 2.94874 | − | 5.10737i | 0.124942 | − | 0.216406i | −0.796768 | − | 0.604285i | \(-0.793459\pi\) |
0.921710 | + | 0.387879i | \(0.126792\pi\) | |||||||
\(558\) | −10.8735 | − | 1.58309i | −0.460310 | − | 0.0670176i | ||||
\(559\) | 10.3694 | 0.438580 | ||||||||
\(560\) | 10.4368 | + | 4.53081i | 0.441035 | + | 0.191462i | ||||
\(561\) | −15.0618 | + | 19.9571i | −0.635911 | + | 0.842590i | ||||
\(562\) | 5.40113 | + | 9.35504i | 0.227833 | + | 0.394619i | ||||
\(563\) | −11.6358 | + | 20.1537i | −0.490389 | + | 0.849378i | −0.999939 | − | 0.0110627i | \(-0.996479\pi\) |
0.509550 | + | 0.860441i | \(0.329812\pi\) | |||||||
\(564\) | 6.48222 | + | 0.469406i | 0.272951 | + | 0.0197656i | ||||
\(565\) | −22.4074 | − | 38.8107i | −0.942685 | − | 1.63278i | ||||
\(566\) | − | 15.2501i | − | 0.641011i | ||||||
\(567\) | −23.4476 | − | 4.14871i | −0.984705 | − | 0.174229i | ||||
\(568\) | 7.07802i | 0.296987i | ||||||||
\(569\) | 19.2703 | + | 33.3771i | 0.807853 | + | 1.39924i | 0.914348 | + | 0.404929i | \(0.132704\pi\) |
−0.106496 | + | 0.994313i | \(0.533963\pi\) | |||||||
\(570\) | 0.838965 | − | 11.5856i | 0.0351404 | − | 0.485268i | ||||
\(571\) | 11.4730 | + | 6.62396i | 0.480131 | + | 0.277204i | 0.720471 | − | 0.693485i | \(-0.243926\pi\) |
−0.240340 | + | 0.970689i | \(0.577259\pi\) | |||||||
\(572\) | −4.00782 | + | 6.19506i | −0.167575 | + | 0.259028i | ||||
\(573\) | −0.889223 | − | 1.83469i | −0.0371478 | − | 0.0766452i | ||||
\(574\) | −15.7850 | − | 21.3062i | −0.658855 | − | 0.889306i | ||||
\(575\) | 23.2074i | 0.967815i | ||||||||
\(576\) | −2.96870 | − | 0.432220i | −0.123696 | − | 0.0180092i | ||||
\(577\) | −11.6105 | + | 20.1099i | −0.483351 | + | 0.837188i | −0.999817 | − | 0.0191193i | \(-0.993914\pi\) |
0.516466 | + | 0.856307i | \(0.327247\pi\) | |||||||
\(578\) | −0.971897 | + | 1.68337i | −0.0404256 | + | 0.0700191i | ||||
\(579\) | −1.88499 | + | 2.77975i | −0.0783375 | + | 0.115522i | ||||
\(580\) | 19.4594i | 0.808007i | ||||||||
\(581\) | −46.4161 | + | 5.31589i | −1.92567 | + | 0.220540i | ||||
\(582\) | 0.844339 | − | 0.409228i | 0.0349990 | − | 0.0169630i | ||||
\(583\) | −4.45625 | + | 6.88821i | −0.184559 | + | 0.285280i | ||||
\(584\) | 12.7024 | + | 7.33373i | 0.525629 | + | 0.303472i | ||||
\(585\) | −10.6198 | − | 26.6642i | −0.439074 | − | 1.10243i | ||||
\(586\) | 5.30185 | + | 9.18307i | 0.219017 | + | 0.379349i | ||||
\(587\) | − | 26.3040i | − | 1.08568i | −0.839836 | − | 0.542841i | \(-0.817349\pi\) | ||
0.839836 | − | 0.542841i | \(-0.182651\pi\) | |||||||
\(588\) | 11.3134 | + | 4.35978i | 0.466555 | + | 0.179794i | ||||
\(589\) | − | 5.71195i | − | 0.235357i | ||||||
\(590\) | 7.93607 | + | 13.7457i | 0.326723 | + | 0.565900i | ||||
\(591\) | 0.130639 | − | 1.80405i | 0.00537379 | − | 0.0742088i | ||||
\(592\) | 3.36669 | − | 5.83129i | 0.138370 | − | 0.239664i | ||||
\(593\) | −15.9757 | − | 27.6707i | −0.656043 | − | 1.13630i | −0.981631 | − | 0.190788i | \(-0.938896\pi\) |
0.325588 | − | 0.945512i | \(-0.394438\pi\) | |||||||
\(594\) | −4.36567 | − | 16.6716i | −0.179126 | − | 0.684042i | ||||
\(595\) | 5.63469 | + | 49.1998i | 0.231000 | + | 2.01699i | ||||
\(596\) | −4.94880 | −0.202711 | ||||||||
\(597\) | −34.7663 | − | 23.5756i | −1.42289 | − | 0.964884i | ||||
\(598\) | −1.91310 | + | 3.31359i | −0.0782325 | + | 0.135503i | ||||
\(599\) | 23.9985 | + | 13.8555i | 0.980552 | + | 0.566122i | 0.902437 | − | 0.430822i | \(-0.141776\pi\) |
0.0781155 | + | 0.996944i | \(0.475110\pi\) | |||||||
\(600\) | −19.3435 | − | 13.1171i | −0.789695 | − | 0.535504i | ||||
\(601\) | − | 4.24301i | − | 0.173076i | −0.996249 | − | 0.0865380i | \(-0.972420\pi\) | ||
0.996249 | − | 0.0865380i | \(-0.0275804\pi\) | |||||||
\(602\) | 9.90893 | − | 7.34117i | 0.403858 | − | 0.299204i | ||||
\(603\) | 7.75415 | − | 9.82423i | 0.315773 | − | 0.400074i | ||||
\(604\) | −6.71375 | + | 3.87618i | −0.273179 | + | 0.157720i | ||||
\(605\) | −43.1477 | + | 19.3906i | −1.75420 | + | 0.788342i | ||||
\(606\) | −0.982068 | + | 13.5618i | −0.0398938 | + | 0.550909i | ||||
\(607\) | 8.07423 | − | 4.66166i | 0.327723 | − | 0.189211i | −0.327107 | − | 0.944987i | \(-0.606074\pi\) |
0.654830 | + | 0.755776i | \(0.272740\pi\) | |||||||
\(608\) | − | 1.55949i | − | 0.0632458i | ||||||
\(609\) | 0.865309 | + | 20.7181i | 0.0350641 | + | 0.839539i | ||||
\(610\) | 19.9747 | 0.808751 | ||||||||
\(611\) | 4.17385 | + | 7.22932i | 0.168856 | + | 0.292467i | ||||
\(612\) | −4.83138 | − | 12.1306i | −0.195297 | − | 0.490351i | ||||
\(613\) | −34.3925 | − | 19.8565i | −1.38910 | − | 0.801996i | −0.395885 | − | 0.918300i | \(-0.629562\pi\) |
−0.993214 | + | 0.116304i | \(0.962895\pi\) | |||||||
\(614\) | 5.58170 | − | 3.22259i | 0.225259 | − | 0.130053i | ||||
\(615\) | 32.5588 | + | 67.1770i | 1.31290 | + | 2.70884i | ||||
\(616\) | 0.556035 | + | 8.75733i | 0.0224033 | + | 0.352843i | ||||
\(617\) | − | 16.5103i | − | 0.664679i | −0.943160 | − | 0.332339i | \(-0.892162\pi\) | ||
0.943160 | − | 0.332339i | \(-0.107838\pi\) | |||||||
\(618\) | −13.9016 | − | 9.42688i | −0.559203 | − | 0.379205i | ||||
\(619\) | 7.63994 | − | 13.2328i | 0.307075 | − | 0.531870i | −0.670646 | − | 0.741778i | \(-0.733983\pi\) |
0.977721 | + | 0.209908i | \(0.0673163\pi\) | |||||||
\(620\) | −13.6409 | − | 7.87556i | −0.547830 | − | 0.316290i | ||||
\(621\) | −2.69843 | − | 8.51966i | −0.108284 | − | 0.341882i | ||||
\(622\) | 9.25267i | 0.370998i | ||||||||
\(623\) | −26.5713 | + | 19.6857i | −1.06456 | + | 0.788692i | ||||
\(624\) | −1.68058 | − | 3.46746i | −0.0672772 | − | 0.138810i | ||||
\(625\) | −44.8043 | − | 77.6034i | −1.79217 | − | 3.10413i | ||||
\(626\) | −0.408129 | + | 0.706900i | −0.0163121 | + | 0.0282534i | ||||
\(627\) | 8.24902 | − | 3.49433i | 0.329434 | − | 0.139550i | ||||
\(628\) | −7.06587 | − | 12.2385i | −0.281959 | − | 0.488367i | ||||
\(629\) | 29.3067 | 1.16854 | ||||||||
\(630\) | −29.0254 | − | 17.9616i | −1.15640 | − | 0.715608i | ||||
\(631\) | 31.1076 | 1.23837 | 0.619187 | − | 0.785244i | \(-0.287462\pi\) | ||||
0.619187 | + | 0.785244i | \(0.287462\pi\) | |||||||
\(632\) | 8.48475 | − | 4.89868i | 0.337505 | − | 0.194859i | ||||
\(633\) | 34.3189 | + | 2.48518i | 1.36405 | + | 0.0987771i | ||||
\(634\) | −7.19272 | − | 4.15272i | −0.285659 | − | 0.164925i | ||||
\(635\) | 4.94382 | + | 8.56295i | 0.196190 | + | 0.339810i | ||||
\(636\) | −1.86862 | − | 3.85543i | −0.0740956 | − | 0.152878i | ||||
\(637\) | 3.52082 | + | 15.1696i | 0.139500 | + | 0.601040i | ||||
\(638\) | −13.3601 | + | 6.83660i | −0.528932 | + | 0.270664i | ||||
\(639\) | 3.05926 | − | 21.0125i | 0.121023 | − | 0.831243i | ||||
\(640\) | −3.72427 | − | 2.15021i | −0.147215 | − | 0.0849944i | ||||
\(641\) | −1.86879 | − | 1.07895i | −0.0738129 | − | 0.0426159i | 0.462639 | − | 0.886547i | \(-0.346902\pi\) |
−0.536452 | + | 0.843931i | \(0.680236\pi\) | |||||||
\(642\) | 5.04296 | + | 3.41971i | 0.199030 | + | 0.134965i | ||||
\(643\) | 36.5368 | 1.44087 | 0.720435 | − | 0.693522i | \(-0.243942\pi\) | ||||
0.720435 | + | 0.693522i | \(0.243942\pi\) | |||||||
\(644\) | 0.517756 | + | 4.52084i | 0.0204025 | + | 0.178146i | ||||
\(645\) | −31.2421 | + | 15.1422i | −1.23016 | + | 0.596223i | ||||
\(646\) | 5.87824 | − | 3.39381i | 0.231276 | − | 0.133528i | ||||
\(647\) | −7.86424 | − | 4.54042i | −0.309175 | − | 0.178502i | 0.337382 | − | 0.941368i | \(-0.390459\pi\) |
−0.646557 | + | 0.762865i | \(0.723792\pi\) | |||||||
\(648\) | 8.62637 | + | 2.56627i | 0.338876 | + | 0.100812i | ||||
\(649\) | −6.64914 | + | 10.2778i | −0.261001 | + | 0.403441i | ||||
\(650\) | − | 30.0189i | − | 1.17744i | ||||||
\(651\) | −14.8734 | − | 7.77841i | −0.582935 | − | 0.304860i | ||||
\(652\) | −17.2735 | −0.676484 | ||||||||
\(653\) | 11.3768 | − | 6.56840i | 0.445209 | − | 0.257041i | −0.260596 | − | 0.965448i | \(-0.583919\pi\) |
0.705805 | + | 0.708407i | \(0.250586\pi\) | |||||||
\(654\) | −4.11569 | − | 0.298036i | −0.160936 | − | 0.0116541i | ||||
\(655\) | −28.9642 | − | 16.7225i | −1.13173 | − | 0.653403i | ||||
\(656\) | 5.01114 | + | 8.67956i | 0.195652 | + | 0.338880i | ||||
\(657\) | −34.5398 | − | 27.2619i | −1.34753 | − | 1.06359i | ||||
\(658\) | 9.10659 | + | 3.95334i | 0.355012 | + | 0.154117i | ||||
\(659\) | −40.4232 | −1.57466 | −0.787332 | − | 0.616530i | \(-0.788538\pi\) | ||||
−0.787332 | + | 0.616530i | \(0.788538\pi\) | |||||||
\(660\) | 3.02872 | − | 24.5176i | 0.117893 | − | 0.954348i | ||||
\(661\) | 0.305691 | − | 0.529473i | 0.0118900 | − | 0.0205941i | −0.860019 | − | 0.510262i | \(-0.829549\pi\) |
0.871909 | + | 0.489668i | \(0.162882\pi\) | |||||||
\(662\) | −11.4714 | + | 19.8690i | −0.445847 | + | 0.772230i | ||||
\(663\) | 9.41268 | − | 13.8806i | 0.365558 | − | 0.539079i | ||||
\(664\) | 17.6583 | 0.685276 | ||||||||
\(665\) | 7.06577 | − | 16.2761i | 0.273999 | − | 0.631161i | ||||
\(666\) | −12.5151 | + | 15.8562i | −0.484951 | + | 0.614415i | ||||
\(667\) | −6.73982 | + | 3.89124i | −0.260967 | + | 0.150669i | ||||
\(668\) | 7.17787 | − | 12.4324i | 0.277720 | − | 0.481025i | ||||
\(669\) | −2.14105 | + | 29.5666i | −0.0827779 | + | 1.14311i | ||||
\(670\) | 15.5373 | − | 8.97044i | 0.600257 | − | 0.346558i | ||||
\(671\) | 7.01764 | + | 13.7139i | 0.270913 | + | 0.529419i | ||||
\(672\) | −4.06078 | − | 2.12368i | −0.156648 | − | 0.0819229i | ||||
\(673\) | 24.7930i | 0.955700i | 0.878441 | + | 0.477850i | \(0.158584\pi\) | ||||
−0.878441 | + | 0.477850i | \(0.841416\pi\) | |||||||
\(674\) | 29.2026 | − | 16.8601i | 1.12484 | − | 0.649427i | ||||
\(675\) | 51.7555 | + | 47.3015i | 1.99207 | + | 1.82063i | ||||
\(676\) | −4.02539 | + | 6.97218i | −0.154823 | + | 0.268161i | ||||
\(677\) | −13.3012 | − | 23.0383i | −0.511206 | − | 0.885435i | −0.999916 | − | 0.0129885i | \(-0.995866\pi\) |
0.488709 | − | 0.872447i | \(-0.337468\pi\) | |||||||
\(678\) | 7.87231 | + | 16.2425i | 0.302334 | + | 0.623791i | ||||
\(679\) | 1.42394 | − | 0.163080i | 0.0546459 | − | 0.00625842i | ||||
\(680\) | − | 18.7173i | − | 0.717777i | ||||||
\(681\) | 27.4077 | + | 18.5856i | 1.05027 | + | 0.712202i | ||||
\(682\) | 0.614676 | − | 12.1322i | 0.0235371 | − | 0.464567i | ||||
\(683\) | −20.7868 | − | 12.0013i | −0.795386 | − | 0.459216i | 0.0464694 | − | 0.998920i | \(-0.485203\pi\) |
−0.841855 | + | 0.539704i | \(0.818536\pi\) | |||||||
\(684\) | −0.674045 | + | 4.62967i | −0.0257727 | + | 0.177020i | ||||
\(685\) | 39.7604 | 1.51917 | ||||||||
\(686\) | 14.1039 | + | 12.0033i | 0.538491 | + | 0.458287i | ||||
\(687\) | 21.0733 | − | 10.2136i | 0.803995 | − | 0.389674i | ||||
\(688\) | −4.03661 | + | 2.33054i | −0.153894 | + | 0.0888510i | ||||
\(689\) | 2.75149 | − | 4.76571i | 0.104823 | − | 0.181559i | ||||
\(690\) | 0.925252 | − | 12.7772i | 0.0352237 | − | 0.486419i | ||||
\(691\) | 1.78912 | + | 3.09884i | 0.0680612 | + | 0.117886i | 0.898048 | − | 0.439898i | \(-0.144985\pi\) |
−0.829987 | + | 0.557783i | \(0.811652\pi\) | |||||||
\(692\) | −17.3881 | −0.660996 | ||||||||
\(693\) | 2.13439 | − | 26.2382i | 0.0810790 | − | 0.996708i | ||||
\(694\) | 7.67876 | 0.291482 | ||||||||
\(695\) | −38.6752 | − | 66.9874i | −1.46703 | − | 2.54098i | ||||
\(696\) | 0.566068 | − | 7.81706i | 0.0214568 | − | 0.296305i | ||||
\(697\) | −21.8107 | + | 37.7773i | −0.826141 | + | 1.43092i | ||||
\(698\) | 3.36135 | − | 1.94068i | 0.127229 | − | 0.0734557i | ||||
\(699\) | 12.0762 | − | 5.85299i | 0.456763 | − | 0.221381i | ||||
\(700\) | −21.2523 | − | 28.6858i | −0.803261 | − | 1.08422i | ||||
\(701\) | −9.33214 | −0.352470 | −0.176235 | − | 0.984348i | \(-0.556392\pi\) | ||||
−0.176235 | + | 0.984348i | \(0.556392\pi\) | |||||||
\(702\) | 3.49044 | + | 11.0202i | 0.131738 | + | 0.415932i | ||||
\(703\) | −9.09385 | − | 5.25034i | −0.342981 | − | 0.198020i | ||||
\(704\) | 0.167821 | − | 3.31238i | 0.00632497 | − | 0.124840i | ||||
\(705\) | −23.1322 | − | 15.6863i | −0.871209 | − | 0.590781i | ||||
\(706\) | 3.43977i | 0.129457i | ||||||||
\(707\) | −8.27098 | + | 19.0523i | −0.311062 | + | 0.716537i | ||||
\(708\) | −2.78815 | − | 5.75266i | −0.104785 | − | 0.216198i | ||||
\(709\) | 8.01982 | + | 13.8907i | 0.301191 | + | 0.521677i | 0.976406 | − | 0.215943i | \(-0.0692826\pi\) |
−0.675215 | + | 0.737621i | \(0.735949\pi\) | |||||||
\(710\) | 15.2192 | − | 26.3605i | 0.571167 | − | 0.989290i | ||||
\(711\) | −27.3060 | + | 10.8754i | −1.02406 | + | 0.407860i | ||||
\(712\) | 10.8244 | − | 6.24946i | 0.405661 | − | 0.234208i | ||||
\(713\) | − | 6.29942i | − | 0.235915i | ||||||
\(714\) | −0.832312 | − | 19.9280i | −0.0311485 | − | 0.745788i | ||||
\(715\) | 28.2469 | − | 14.4544i | 1.05637 | − | 0.540564i | ||||
\(716\) | 12.6301 | − | 7.29196i | 0.472007 | − | 0.272514i | ||||
\(717\) | 1.49557 | − | 20.6530i | 0.0558532 | − | 0.771299i | ||||
\(718\) | 11.0163 | − | 19.0808i | 0.411125 | − | 0.712090i | ||||
\(719\) | −24.4747 | + | 14.1305i | −0.912753 | + | 0.526978i | −0.881316 | − | 0.472528i | \(-0.843342\pi\) |
−0.0314371 | + | 0.999506i | \(0.510008\pi\) | |||||||
\(720\) | 10.1269 | + | 7.99303i | 0.377406 | + | 0.297883i | ||||
\(721\) | −15.2734 | − | 20.6156i | −0.568810 | − | 0.767766i | ||||
\(722\) | 16.5680 | 0.616596 | ||||||||
\(723\) | −27.4620 | + | 40.4975i | −1.02132 | + | 1.50612i | ||||
\(724\) | 11.9250 | − | 20.6547i | 0.443189 | − | 0.767625i | ||||
\(725\) | 30.5292 | − | 52.8781i | 1.13383 | − | 1.96384i | ||||
\(726\) | 17.8970 | − | 6.53429i | 0.664220 | − | 0.242510i | ||||
\(727\) | 5.45714 | 0.202394 | 0.101197 | − | 0.994866i | \(-0.467733\pi\) | ||||
0.101197 | + | 0.994866i | \(0.467733\pi\) | |||||||
\(728\) | −0.669722 | − | 5.84773i | −0.0248215 | − | 0.216731i | ||||
\(729\) | −24.4999 | − | 11.3470i | −0.907405 | − | 0.420258i | ||||
\(730\) | −31.5381 | − | 54.6256i | −1.16728 | − | 2.02178i | ||||
\(731\) | −17.5691 | − | 10.1435i | −0.649818 | − | 0.375173i | ||||
\(732\) | −8.02406 | − | 0.581058i | −0.296578 | − | 0.0214765i | ||||
\(733\) | −23.3511 | + | 13.4818i | −0.862494 | + | 0.497961i | −0.864847 | − | 0.502036i | \(-0.832584\pi\) |
0.00235259 | + | 0.999997i | \(0.499251\pi\) | |||||||
\(734\) | −10.8346 | −0.399912 | ||||||||
\(735\) | −32.7596 | − | 40.5631i | −1.20836 | − | 1.49619i | ||||
\(736\) | − | 1.71988i | − | 0.0633958i | ||||||
\(737\) | 11.6174 | + | 7.51577i | 0.427934 | + | 0.276847i | ||||
\(738\) | −11.1251 | − | 27.9329i | −0.409521 | − | 1.02823i | ||||
\(739\) | −28.7950 | − | 16.6248i | −1.05924 | − | 0.611553i | −0.134018 | − | 0.990979i | \(-0.542788\pi\) |
−0.925222 | + | 0.379426i | \(0.876121\pi\) | |||||||
\(740\) | −25.0770 | + | 14.4782i | −0.921847 | + | 0.532229i | ||||
\(741\) | −5.40748 | + | 2.62086i | −0.198649 | + | 0.0962796i | ||||
\(742\) | −0.744655 | − | 6.50202i | −0.0273372 | − | 0.238697i | ||||
\(743\) | −6.13190 | −0.224958 | −0.112479 | − | 0.993654i | \(-0.535879\pi\) | ||||
−0.112479 | + | 0.993654i | \(0.535879\pi\) | |||||||
\(744\) | 5.25060 | + | 3.56051i | 0.192496 | + | 0.130535i | ||||
\(745\) | 18.4306 | + | 10.6409i | 0.675247 | + | 0.389854i | ||||
\(746\) | 5.25214 | + | 3.03232i | 0.192294 | + | 0.111021i | ||||
\(747\) | −52.4223 | − | 7.63228i | −1.91803 | − | 0.279251i | ||||
\(748\) | 12.8507 | − | 6.57590i | 0.469866 | − | 0.240439i | ||||
\(749\) | 5.54060 | + | 7.47856i | 0.202449 | + | 0.273261i | ||||
\(750\) | 27.5926 | + | 56.9304i | 1.00754 | + | 2.07880i | ||||
\(751\) | 4.62693 | + | 8.01408i | 0.168839 | + | 0.292438i | 0.938012 | − | 0.346603i | \(-0.112665\pi\) |
−0.769173 | + | 0.639041i | \(0.779331\pi\) | |||||||
\(752\) | −3.24960 | − | 1.87616i | −0.118501 | − | 0.0684163i | ||||
\(753\) | 3.10830 | + | 0.225086i | 0.113273 | + | 0.00820259i | ||||
\(754\) | 8.71801 | − | 5.03335i | 0.317491 | − | 0.183304i | ||||
\(755\) | 33.3384 | 1.21331 | ||||||||
\(756\) | 11.1374 | + | 8.05973i | 0.405062 | + | 0.293130i | ||||
\(757\) | −33.0544 | −1.20138 | −0.600691 | − | 0.799481i | \(-0.705108\pi\) | ||||
−0.600691 | + | 0.799481i | \(0.705108\pi\) | |||||||
\(758\) | 0.978573 | + | 1.69494i | 0.0355434 | + | 0.0615629i | ||||
\(759\) | 9.09742 | − | 3.85372i | 0.330215 | − | 0.139881i | ||||
\(760\) | −3.35323 | + | 5.80797i | −0.121635 | + | 0.210677i | ||||
\(761\) | −3.66311 | − | 6.34470i | −0.132788 | − | 0.229995i | 0.791962 | − | 0.610570i | \(-0.209060\pi\) |
−0.924750 | + | 0.380575i | \(0.875726\pi\) | |||||||
\(762\) | −1.73690 | − | 3.58365i | −0.0629212 | − | 0.129822i | ||||
\(763\) | −5.78196 | − | 2.51006i | −0.209321 | − | 0.0908701i | ||||
\(764\) | 1.17712i | 0.0425865i | ||||||||
\(765\) | −8.09001 | + | 55.5662i | −0.292495 | + | 2.00900i | ||||
\(766\) | −9.20867 | − | 5.31663i | −0.332723 | − | 0.192098i | ||||
\(767\) | 4.10547 | − | 7.11089i | 0.148240 | − | 0.256759i | ||||
\(768\) | 1.43353 | + | 0.972102i | 0.0517282 | + | 0.0350777i | ||||
\(769\) | − | 44.3335i | − | 1.59871i | −0.600861 | − | 0.799353i | \(-0.705176\pi\) | ||
0.600861 | − | 0.799353i | \(-0.294824\pi\) | |||||||
\(770\) | 16.7593 | − | 33.8102i | 0.603962 | − | 1.21844i | ||||
\(771\) | 2.88324 | + | 5.94884i | 0.103837 | + | 0.214242i | ||||
\(772\) | 1.67930 | − | 0.969543i | 0.0604393 | − | 0.0348946i | ||||
\(773\) | 11.7168 | + | 6.76468i | 0.421423 | + | 0.243309i | 0.695686 | − | 0.718346i | \(-0.255101\pi\) |
−0.274263 | + | 0.961655i | \(0.588434\pi\) | |||||||
\(774\) | 12.9908 | − | 5.17397i | 0.466945 | − | 0.185974i | ||||
\(775\) | 24.7114 | + | 42.8015i | 0.887661 | + | 1.53747i | ||||
\(776\) | −0.541718 | −0.0194465 | ||||||||
\(777\) | −26.0552 | + | 16.5298i | −0.934726 | + | 0.593003i | ||||
\(778\) | 20.0095i | 0.717375i | ||||||||
\(779\) | 13.5357 | − | 7.81484i | 0.484967 | − | 0.279996i | ||||
\(780\) | −1.19682 | + | 16.5274i | −0.0428530 | + | 0.591775i | ||||
\(781\) | 23.4451 | + | 1.18784i | 0.838930 | + | 0.0425042i | ||||
\(782\) | 6.48281 | − | 3.74285i | 0.231825 | − | 0.133844i | ||||
\(783\) | −5.05918 | + | 22.9618i | −0.180800 | + | 0.820589i | ||||
\(784\) | −4.77996 | − | 5.11390i | −0.170713 | − | 0.182639i | ||||
\(785\) | 60.7724i | 2.16906i | ||||||||
\(786\) | 11.1488 | + | 7.56019i | 0.397665 | + | 0.269663i | ||||
\(787\) | 24.1825 | + | 13.9618i | 0.862013 | + | 0.497683i | 0.864686 | − | 0.502313i | \(-0.167517\pi\) |
−0.00267284 | + | 0.999996i | \(0.500851\pi\) | |||||||
\(788\) | −0.522149 | + | 0.904388i | −0.0186008 | + | 0.0322175i | ||||
\(789\) | 22.4026 | + | 15.1916i | 0.797555 | + | 0.540834i | ||||
\(790\) | −42.1327 | −1.49901 | ||||||||
\(791\) | 3.13716 | + | 27.3924i | 0.111545 | + | 0.973961i | ||||
\(792\) | −1.92988 | + | 9.76092i | −0.0685755 | + | 0.346839i | ||||
\(793\) | −5.16663 | − | 8.94887i | −0.183472 | − | 0.317784i | ||||
\(794\) | 8.09039 | − | 14.0130i | 0.287117 | − | 0.497302i | ||||
\(795\) | −1.33073 | + | 18.3766i | −0.0471961 | + | 0.651750i | ||||
\(796\) | 12.1261 | + | 21.0030i | 0.429798 | + | 0.744432i | ||||
\(797\) | − | 18.8457i | − | 0.667549i | −0.942653 | − | 0.333774i | \(-0.891678\pi\) | ||
0.942653 | − | 0.333774i | \(-0.108322\pi\) | |||||||
\(798\) | −3.31187 | + | 6.33277i | −0.117239 | + | 0.224177i | ||||
\(799\) | − | 16.3317i | − | 0.577775i | ||||||
\(800\) | 6.74679 | + | 11.6858i | 0.238535 | + | 0.413155i | ||||
\(801\) | −34.8355 | + | 13.8743i | −1.23085 | + | 0.490223i | ||||
\(802\) | 20.3865 | + | 11.7702i | 0.719873 | + | 0.415619i | ||||
\(803\) | 26.4238 | − | 40.8444i | 0.932476 | − | 1.44137i | ||||
\(804\) | −6.50245 | + | 3.15156i | −0.229324 | + | 0.111147i | ||||
\(805\) | 7.79247 | − | 17.9501i | 0.274649 | − | 0.632658i | ||||
\(806\) | 8.14834i | 0.287013i | ||||||||
\(807\) | −11.3942 | + | 16.8027i | −0.401095 | + | 0.591485i | ||||
\(808\) | 3.92520 | − | 6.79864i | 0.138088 | − | 0.239175i | ||||
\(809\) | 21.4556 | − | 37.1622i | 0.754339 | − | 1.30655i | −0.191363 | − | 0.981519i | \(-0.561291\pi\) |
0.945702 | − | 0.325034i | \(-0.105376\pi\) | |||||||
\(810\) | −26.6089 | − | 28.1060i | −0.934942 | − | 0.987542i | ||||
\(811\) | − | 7.13276i | − | 0.250465i | −0.992127 | − | 0.125233i | \(-0.960032\pi\) | ||
0.992127 | − | 0.125233i | \(-0.0399677\pi\) | |||||||
\(812\) | 4.76743 | − | 10.9818i | 0.167304 | − | 0.385387i | ||||
\(813\) | −8.61429 | − | 17.7734i | −0.302116 | − | 0.623341i | ||||
\(814\) | −18.7504 | − | 12.1304i | −0.657202 | − | 0.425169i | ||||
\(815\) | 64.3313 | + | 37.1417i | 2.25343 | + | 1.30102i | ||||
\(816\) | −0.544482 | + | 7.51897i | −0.0190607 | + | 0.263217i | ||||
\(817\) | 3.63446 | + | 6.29507i | 0.127154 | + | 0.220237i | ||||
\(818\) | 34.2914i | 1.19897i | ||||||||
\(819\) | −0.539305 | + | 17.6496i | −0.0188448 | + | 0.616728i | ||||
\(820\) | − | 43.1000i | − | 1.50512i | ||||||
\(821\) | 12.3220 | + | 21.3424i | 0.430041 | + | 0.744854i | 0.996876 | − | 0.0789778i | \(-0.0251656\pi\) |
−0.566835 | + | 0.823831i | \(0.691832\pi\) | |||||||
\(822\) | −15.9722 | − | 1.15662i | −0.557094 | − | 0.0403417i | ||||
\(823\) | 6.36507 | − | 11.0246i | 0.221872 | − | 0.384294i | −0.733504 | − | 0.679685i | \(-0.762117\pi\) |
0.955376 | + | 0.295391i | \(0.0954499\pi\) | |||||||
\(824\) | 4.84871 | + | 8.39821i | 0.168913 | + | 0.292566i | ||||
\(825\) | −46.6951 | + | 61.8716i | −1.62571 | + | 2.15409i | ||||
\(826\) | −1.11109 | − | 9.70162i | −0.0386599 | − | 0.337563i | ||||
\(827\) | 13.6994 | 0.476376 | 0.238188 | − | 0.971219i | \(-0.423447\pi\) | ||||
0.238188 | + | 0.971219i | \(0.423447\pi\) | |||||||
\(828\) | −0.743369 | + | 5.10582i | −0.0258339 | + | 0.177440i | ||||
\(829\) | 18.7070 | − | 32.4015i | 0.649722 | − | 1.12535i | −0.333467 | − | 0.942762i | \(-0.608219\pi\) |
0.983189 | − | 0.182590i | \(-0.0584481\pi\) | |||||||
\(830\) | −65.7643 | − | 37.9691i | −2.28271 | − | 1.31793i | ||||
\(831\) | 22.3723 | − | 32.9918i | 0.776085 | − | 1.14447i | ||||
\(832\) | 2.22468i | 0.0771270i | ||||||||
\(833\) | 8.87372 | − | 29.1462i | 0.307456 | − | 1.00986i | ||||
\(834\) | 13.5876 | + | 28.0347i | 0.470501 | + | 0.970761i | ||||
\(835\) | −53.4646 | + | 30.8678i | −1.85022 | + | 1.06823i | ||||
\(836\) | −5.16563 | − | 0.261715i | −0.178657 | − | 0.00905160i | ||||
\(837\) | −14.0485 | − | 12.8395i | −0.485588 | − | 0.443799i | ||||
\(838\) | 20.6966 | − | 11.9492i | 0.714951 | − | 0.412777i | ||||
\(839\) | 41.6482i | 1.43786i | 0.695085 | + | 0.718928i | \(0.255367\pi\) | ||||
−0.695085 | + | 0.718928i | \(0.744633\pi\) | |||||||
\(840\) | 10.5571 | + | 16.6407i | 0.364254 | + | 0.574159i | ||||
\(841\) | −8.52438 | −0.293944 | ||||||||
\(842\) | −10.6889 | − | 18.5137i | −0.368363 | − | 0.638024i | ||||
\(843\) | −1.35134 | + | 18.6612i | −0.0465427 | + | 0.642726i | ||||
\(844\) | −17.2044 | − | 9.93294i | −0.592198 | − | 0.341906i | ||||
\(845\) | 29.9833 | − | 17.3109i | 1.03146 | − | 0.595512i | ||||
\(846\) | 8.83617 | + | 6.97428i | 0.303794 | + | 0.239781i | ||||
\(847\) | 29.1009 | − | 0.372136i | 0.999918 | − | 0.0127867i | ||||
\(848\) | 2.47360i | 0.0849437i | ||||||||
\(849\) | 14.8247 | − | 21.8616i | 0.508782 | − | 0.750288i | ||||
\(850\) | −29.3650 | + | 50.8617i | −1.00721 | + | 1.74454i | ||||
\(851\) | −10.0291 | − | 5.79033i | −0.343795 | − | 0.198490i | ||||
\(852\) | −6.88056 | + | 10.1466i | −0.235724 | + | 0.347616i | ||||
\(853\) | 20.2141i | 0.692117i | 0.938213 | + | 0.346059i | \(0.112480\pi\) | ||||
−0.938213 | + | 0.346059i | \(0.887520\pi\) | |||||||
\(854\) | −11.2727 | − | 4.89367i | −0.385742 | − | 0.167458i | ||||
\(855\) | 12.4651 | − | 15.7928i | 0.426297 | − | 0.540102i | ||||
\(856\) | −1.75893 | − | 3.04655i | −0.0601189 | − | 0.104129i | ||||
\(857\) | 11.5198 | − | 19.9529i | 0.393510 | − | 0.681579i | −0.599400 | − | 0.800450i | \(-0.704594\pi\) |
0.992910 | + | 0.118871i | \(0.0379274\pi\) | |||||||
\(858\) | −11.7676 | + | 4.98481i | −0.401738 | + | 0.170179i | ||||
\(859\) | −3.17916 | − | 5.50647i | −0.108472 | − | 0.187878i | 0.806680 | − | 0.590989i | \(-0.201262\pi\) |
−0.915151 | + | 0.403111i | \(0.867929\pi\) | |||||||
\(860\) | 20.0446 | 0.683514 | ||||||||
\(861\) | −1.91655 | − | 45.8879i | −0.0653158 | − | 1.56385i | ||||
\(862\) | 2.28472 | 0.0778180 | ||||||||
\(863\) | 43.7656 | − | 25.2681i | 1.48980 | − | 0.860135i | 0.489866 | − | 0.871798i | \(-0.337046\pi\) |
0.999932 | + | 0.0116621i | \(0.00371226\pi\) | |||||||
\(864\) | −3.83557 | − | 3.50548i | −0.130489 | − | 0.119259i | ||||
\(865\) | 64.7579 | + | 37.3880i | 2.20184 | + | 1.27123i | ||||
\(866\) | 5.01179 | + | 8.68067i | 0.170307 | + | 0.294981i | ||||
\(867\) | −3.02966 | + | 1.46839i | −0.102893 | + | 0.0498692i | ||||
\(868\) | 5.76873 | + | 7.78648i | 0.195803 | + | 0.264290i | ||||
\(869\) | −14.8023 | − | 28.9268i | −0.502135 | − | 0.981274i | ||||
\(870\) | −18.9165 | + | 27.8957i | −0.641329 | + | 0.945752i | ||||
\(871\) | −8.03771 | − | 4.64057i | −0.272347 | − | 0.157240i | ||||
\(872\) | 2.06323 | + | 1.19121i | 0.0698699 | + | 0.0403394i | ||||
\(873\) | 1.60820 | + | 0.234142i | 0.0544293 | + | 0.00792449i | ||||
\(874\) | −2.68215 | −0.0907250 | ||||||||
\(875\) | 10.9958 | + | 96.0108i | 0.371726 | + | 3.24576i | ||||
\(876\) | 11.0802 | + | 22.8612i | 0.374365 | + | 0.772407i | ||||
\(877\) | 44.1014 | − | 25.4620i | 1.48920 | − | 0.859789i | 0.489275 | − | 0.872130i | \(-0.337261\pi\) |
0.999924 | + | 0.0123404i | \(0.00392816\pi\) | |||||||
\(878\) | 5.95435 | + | 3.43774i | 0.200949 | + | 0.116018i | ||||
\(879\) | −1.32650 | + | 18.3182i | −0.0447417 | + | 0.617856i | ||||
\(880\) | −7.74731 | + | 11.9753i | −0.261162 | + | 0.403688i | ||||
\(881\) | 43.9018i | 1.47909i | 0.673107 | + | 0.739545i | \(0.264959\pi\) | ||||
−0.673107 | + | 0.739545i | \(0.735041\pi\) | |||||||
\(882\) | 11.9799 | + | 17.2476i | 0.403386 | + | 0.580758i | ||||
\(883\) | −22.1919 | −0.746816 | −0.373408 | − | 0.927667i | \(-0.621811\pi\) | ||||
−0.373408 | + | 0.927667i | \(0.621811\pi\) | |||||||
\(884\) | −8.38557 | + | 4.84141i | −0.282037 | + | 0.162834i | ||||
\(885\) | −1.98557 | + | 27.4195i | −0.0667443 | + | 0.921698i | ||||
\(886\) | −18.4525 | − | 10.6536i | −0.619925 | − | 0.357914i | ||||
\(887\) | 19.9074 | + | 34.4807i | 0.668426 | + | 1.15775i | 0.978344 | + | 0.206984i | \(0.0663648\pi\) |
−0.309919 | + | 0.950763i | \(0.600302\pi\) | |||||||
\(888\) | 10.4949 | − | 5.08657i | 0.352185 | − | 0.170694i | ||||
\(889\) | −0.692164 | − | 6.04369i | −0.0232144 | − | 0.202699i | ||||
\(890\) | −53.7505 | −1.80172 | ||||||||
\(891\) | 9.94812 | − | 28.1431i | 0.333274 | − | 0.942830i | ||||
\(892\) | 8.55750 | − | 14.8220i | 0.286526 | − | 0.496278i | ||||
\(893\) | −2.92585 | + | 5.06772i | −0.0979099 | + | 0.169585i | ||||
\(894\) | −7.09427 | − | 4.81073i | −0.237268 | − | 0.160895i | ||||
\(895\) | −62.7170 | −2.09640 | ||||||||
\(896\) | 1.57499 | + | 2.12589i | 0.0526169 | + | 0.0710209i | ||||
\(897\) | −5.96363 | + | 2.89041i | −0.199120 | + | 0.0965080i | ||||
\(898\) | 9.84224 | − | 5.68242i | 0.328440 | − | 0.189625i | ||||
\(899\) | −8.28685 | + | 14.3532i | −0.276382 | + | 0.478708i | ||||
\(900\) | −14.9784 | − | 37.6077i | −0.499279 | − | 1.25359i | ||||
\(901\) | −9.32380 | + | 5.38310i | −0.310621 | + | 0.179337i | ||||
\(902\) | 29.5909 | − | 15.1422i | 0.985270 | − | 0.504180i | ||||
\(903\) | 21.3411 | − | 0.891332i | 0.710189 | − | 0.0296617i | ||||
\(904\) | − | 10.4210i | − | 0.346598i | ||||||
\(905\) | −88.8237 | + | 51.2824i | −2.95260 | + | 1.70468i | ||||
\(906\) | −13.3924 | − | 0.969805i | −0.444934 | − | 0.0322196i | ||||
\(907\) | −18.2837 | + | 31.6682i | −0.607099 | + | 1.05153i | 0.384617 | + | 0.923076i | \(0.374333\pi\) |
−0.991716 | + | 0.128450i | \(0.959000\pi\) | |||||||
\(908\) | −9.55949 | − | 16.5575i | −0.317243 | − | 0.549481i | ||||
\(909\) | −14.5912 | + | 18.4866i | −0.483961 | + | 0.613161i | ||||
\(910\) | −10.0796 | + | 23.2186i | −0.334136 | + | 0.769688i | ||||
\(911\) | 55.8387i | 1.85002i | 0.379944 | + | 0.925010i | \(0.375943\pi\) | ||||
−0.379944 | + | 0.925010i | \(0.624057\pi\) | |||||||
\(912\) | 1.51599 | − | 2.23559i | 0.0501993 | − | 0.0740276i | ||||
\(913\) | 2.96343 | − | 58.4910i | 0.0980752 | − | 1.93577i | ||||
\(914\) | −0.879305 | − | 0.507667i | −0.0290848 | − | 0.0167921i | ||||
\(915\) | 28.6344 | + | 19.4174i | 0.946623 | + | 0.641920i | ||||
\(916\) | −13.5204 | −0.446725 | ||||||||
\(917\) | 12.2490 | + | 16.5334i | 0.404497 | + | 0.545980i | ||||
\(918\) | 4.86626 | − | 22.0862i | 0.160610 | − | 0.728955i | ||||
\(919\) | 45.8037 | − | 26.4448i | 1.51092 | − | 0.872332i | 0.511005 | − | 0.859578i | \(-0.329274\pi\) |
0.999919 | − | 0.0127539i | \(-0.00405981\pi\) | |||||||
\(920\) | −3.69811 | + | 6.40531i | −0.121923 | + | 0.211177i | ||||
\(921\) | 11.1342 | + | 0.806280i | 0.366886 | + | 0.0265678i | ||||
\(922\) | 14.9444 | + | 25.8844i | 0.492167 | + | 0.852458i | ||||
\(923\) | −15.7464 | −0.518298 | ||||||||
\(924\) | −7.71592 | + | 13.0944i | −0.253835 | + | 0.430776i | ||||
\(925\) | 90.8575 | 2.98738 | ||||||||
\(926\) | 4.30562 | + | 7.45755i | 0.141491 | + | 0.245070i | ||||
\(927\) | −10.7645 | − | 27.0275i | −0.353552 | − | 0.887699i | ||||
\(928\) | −2.26250 | + | 3.91876i | −0.0742702 | + | 0.128640i | ||||
\(929\) | 0.312131 | − | 0.180209i | 0.0102407 | − | 0.00591247i | −0.494871 | − | 0.868967i | \(-0.664785\pi\) |
0.505112 | + | 0.863054i | \(0.331451\pi\) | |||||||
\(930\) | −11.8988 | − | 24.5502i | −0.390177 | − | 0.805032i | ||||
\(931\) | −7.97509 | + | 7.45432i | −0.261373 | + | 0.244305i | ||||
\(932\) | −7.74794 | −0.253792 | ||||||||
\(933\) | −8.99454 | + | 13.2640i | −0.294468 | + | 0.434244i | ||||
\(934\) | 31.5910 | + | 18.2391i | 1.03369 | + | 0.596801i | ||||
\(935\) | −61.9988 | − | 3.14115i | −2.02758 | − | 0.102727i | ||||
\(936\) | 0.961553 | − | 6.60442i | 0.0314294 | − | 0.215872i | ||||
\(937\) | − | 23.8255i | − | 0.778346i | −0.921165 | − | 0.389173i | \(-0.872761\pi\) | ||
0.921165 | − | 0.389173i | \(-0.127239\pi\) | |||||||
\(938\) | −10.9661 | + | 1.25591i | −0.358056 | + | 0.0410070i | ||||
\(939\) | −1.27224 | + | 0.616622i | −0.0415181 | + | 0.0201227i | ||||
\(940\) | 8.06825 | + | 13.9746i | 0.263157 | + | 0.455802i | ||||
\(941\) | 7.01514 | − | 12.1506i | 0.228687 | − | 0.396098i | −0.728732 | − | 0.684799i | \(-0.759890\pi\) |
0.957419 | + | 0.288701i | \(0.0932234\pi\) | |||||||
\(942\) | 1.76785 | − | 24.4130i | 0.0575998 | − | 0.795418i | ||||
\(943\) | 14.9278 | − | 8.61859i | 0.486117 | − | 0.280660i | ||||
\(944\) | 3.69084i | 0.120127i | ||||||||
\(945\) | −24.1484 | − | 53.9642i | −0.785548 | − | 1.75546i | ||||
\(946\) | 7.04220 | + | 13.7619i | 0.228962 | + | 0.447438i | ||||
\(947\) | 42.2760 | − | 24.4081i | 1.37379 | − | 0.793156i | 0.382384 | − | 0.924003i | \(-0.375103\pi\) |
0.991403 | + | 0.130847i | \(0.0417697\pi\) | |||||||
\(948\) | 16.9252 | + | 1.22563i | 0.549705 | + | 0.0398066i | ||||
\(949\) | −16.3152 | + | 28.2588i | −0.529615 | + | 0.917320i | ||||
\(950\) | 18.2239 | − | 10.5216i | 0.591261 | − | 0.341365i | ||||
\(951\) | −6.27414 | − | 12.9451i | −0.203453 | − | 0.419774i | ||||
\(952\) | −4.58563 | + | 10.5631i | −0.148621 | + | 0.342351i | ||||
\(953\) | −1.92134 | −0.0622385 | −0.0311192 | − | 0.999516i | \(-0.509907\pi\) | ||||
−0.0311192 | + | 0.999516i | \(0.509907\pi\) | |||||||
\(954\) | 1.06914 | − | 7.34337i | 0.0346146 | − | 0.237750i | ||||
\(955\) | 2.53104 | − | 4.38389i | 0.0819026 | − | 0.141859i | ||||
\(956\) | −5.97761 | + | 10.3535i | −0.193330 | + | 0.334857i | ||||
\(957\) | −25.7980 | − | 3.18689i | −0.833932 | − | 0.103018i | ||||
\(958\) | 5.88801 | 0.190233 | ||||||||
\(959\) | −22.4387 | − | 9.74104i | −0.724582 | − | 0.314555i | ||||
\(960\) | −3.24864 | − | 6.70276i | −0.104850 | − | 0.216331i | ||||
\(961\) | 8.79233 | + | 15.2288i | 0.283623 | + | 0.491250i | ||||
\(962\) | 12.9728 | + | 7.48983i | 0.418259 | + | 0.241482i | ||||
\(963\) | 3.90495 | + | 9.80455i | 0.125835 | + | 0.315947i | ||||
\(964\) | 24.4654 | − | 14.1251i | 0.787976 | − | 0.454938i | ||||
\(965\) | −8.33888 | −0.268438 | ||||||||
\(966\) | −3.65249 | + | 6.98408i | −0.117517 | + | 0.224709i | ||||
\(967\) | − | 1.76597i | − | 0.0567899i | −0.999597 | − | 0.0283949i | \(-0.990960\pi\) | ||
0.999597 | − | 0.0283949i | \(-0.00903960\pi\) | |||||||
\(968\) | −10.9437 | − | 1.11177i | −0.351743 | − | 0.0357336i | ||||
\(969\) | 11.7258 | + | 0.849116i | 0.376686 | + | 0.0272775i | ||||
\(970\) | 2.01750 | + | 1.16481i | 0.0647782 | + | 0.0373997i | ||||
\(971\) | 21.2217 | − | 12.2523i | 0.681036 | − | 0.393197i | −0.119209 | − | 0.992869i | \(-0.538036\pi\) |
0.800245 | + | 0.599673i | \(0.204703\pi\) | |||||||
\(972\) | 9.87152 | + | 12.0645i | 0.316629 | + | 0.386970i | ||||
\(973\) | 5.41475 | + | 47.2793i | 0.173589 | + | 1.51571i | ||||
\(974\) | −26.1286 | −0.837214 | ||||||||
\(975\) | 29.1814 | − | 43.0331i | 0.934554 | − | 1.37816i | ||||
\(976\) | 4.02253 | + | 2.32241i | 0.128758 | + | 0.0743386i | ||||
\(977\) | −26.1114 | − | 15.0755i | −0.835379 | − | 0.482306i | 0.0203117 | − | 0.999794i | \(-0.493534\pi\) |
−0.855691 | + | 0.517487i | \(0.826867\pi\) | |||||||
\(978\) | −24.7622 | − | 16.7916i | −0.791807 | − | 0.536937i | ||||
\(979\) | −18.8840 | − | 36.9032i | −0.603535 | − | 1.17943i | ||||
\(980\) | 6.80591 | + | 29.3234i | 0.217407 | + | 0.936703i | ||||
\(981\) | −5.61026 | − | 4.42811i | −0.179122 | − | 0.141379i | ||||
\(982\) | 1.83515 | + | 3.17858i | 0.0585621 | + | 0.101432i | ||||
\(983\) | 30.3289 | + | 17.5104i | 0.967341 | + | 0.558494i | 0.898425 | − | 0.439128i | \(-0.144713\pi\) |
0.0689163 | + | 0.997622i | \(0.478046\pi\) | |||||||
\(984\) | −1.25377 | + | 17.3138i | −0.0399686 | + | 0.551943i | ||||
\(985\) | 3.88924 | − | 2.24546i | 0.123922 | − | 0.0715462i | ||||
\(986\) | −19.6948 | −0.627211 | ||||||||
\(987\) | 9.21155 | + | 14.5198i | 0.293207 | + | 0.462169i | ||||
\(988\) | 3.46938 | 0.110376 | ||||||||
\(989\) | 4.00826 | + | 6.94251i | 0.127455 | + | 0.220759i | ||||
\(990\) | 28.1754 | − | 32.2026i | 0.895473 | − | 1.02347i | ||||
\(991\) | 2.32827 | − | 4.03268i | 0.0739599 | − | 0.128102i | −0.826674 | − | 0.562682i | \(-0.809770\pi\) |
0.900633 | + | 0.434579i | \(0.143103\pi\) | |||||||
\(992\) | −1.83135 | − | 3.17199i | −0.0581454 | − | 0.100711i | ||||
\(993\) | −35.7592 | + | 17.3315i | −1.13479 | + | 0.549999i | ||||
\(994\) | −15.0471 | + | 11.1478i | −0.477264 | + | 0.353588i | ||||
\(995\) | − | 104.294i | − | 3.30636i | ||||||
\(996\) | 25.3138 | + | 17.1657i | 0.802098 | + | 0.543916i | ||||
\(997\) | −8.75466 | − | 5.05450i | −0.277263 | − | 0.160078i | 0.354921 | − | 0.934896i | \(-0.384508\pi\) |
−0.632184 | + | 0.774819i | \(0.717841\pi\) | |||||||
\(998\) | 0.575545 | − | 0.996873i | 0.0182186 | − | 0.0315555i | ||||
\(999\) | −33.3547 | + | 10.5644i | −1.05529 | + | 0.334244i |
(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 | 462.2.n.e.263.6 | yes | 24 | |
3.2 | odd | 2 | 462.2.n.f.263.11 | yes | 24 | ||
7.2 | even | 3 | inner | 462.2.n.e.65.11 | yes | 24 | |
11.10 | odd | 2 | 462.2.n.f.263.6 | yes | 24 | ||
21.2 | odd | 6 | 462.2.n.f.65.6 | yes | 24 | ||
33.32 | even | 2 | inner | 462.2.n.e.263.11 | yes | 24 | |
77.65 | odd | 6 | 462.2.n.f.65.11 | yes | 24 | ||
231.65 | even | 6 | inner | 462.2.n.e.65.6 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.n.e.65.6 | ✓ | 24 | 231.65 | even | 6 | inner | |
462.2.n.e.65.11 | yes | 24 | 7.2 | even | 3 | inner | |
462.2.n.e.263.6 | yes | 24 | 1.1 | even | 1 | trivial | |
462.2.n.e.263.11 | yes | 24 | 33.32 | even | 2 | inner | |
462.2.n.f.65.6 | yes | 24 | 21.2 | odd | 6 | ||
462.2.n.f.65.11 | yes | 24 | 77.65 | odd | 6 | ||
462.2.n.f.263.6 | yes | 24 | 11.10 | odd | 2 | ||
462.2.n.f.263.11 | yes | 24 | 3.2 | odd | 2 |