Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,3,Mod(19,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 23, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.u (of order \(32\), 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: | \(10.4632421514\) |
Analytic rank: | \(0\) |
Dimension: | \(1024\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 235.42 | ||
Character | \(\chi\) | \(=\) | 384.235 |
Dual form | 384.3.u.a.67.42 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{32}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.732561 | + | 1.86101i | 0.366281 | + | 0.930504i | ||||
\(3\) | −1.09880 | + | 1.33889i | −0.366267 | + | 0.446298i | ||||
\(4\) | −2.92671 | + | 2.72661i | −0.731677 | + | 0.681652i | ||||
\(5\) | −1.79410 | − | 5.91435i | −0.358820 | − | 1.18287i | −0.931699 | − | 0.363231i | \(-0.881674\pi\) |
0.572879 | − | 0.819640i | \(-0.305826\pi\) | |||||||
\(6\) | −3.29663 | − | 1.06406i | −0.549439 | − | 0.177343i | ||||
\(7\) | 0.410318 | − | 2.06281i | 0.0586168 | − | 0.294687i | −0.940346 | − | 0.340220i | \(-0.889499\pi\) |
0.998963 | + | 0.0455330i | \(0.0144986\pi\) | |||||||
\(8\) | −7.21823 | − | 3.44922i | −0.902279 | − | 0.431153i | ||||
\(9\) | −0.585271 | − | 2.94236i | −0.0650301 | − | 0.326928i | ||||
\(10\) | 9.69237 | − | 7.67146i | 0.969237 | − | 0.767146i | ||||
\(11\) | 9.51860 | + | 0.937500i | 0.865327 | + | 0.0852273i | 0.520933 | − | 0.853598i | \(-0.325584\pi\) |
0.344395 | + | 0.938825i | \(0.388084\pi\) | |||||||
\(12\) | −0.434764 | − | 6.91455i | −0.0362304 | − | 0.576212i | ||||
\(13\) | 6.19805 | + | 1.88016i | 0.476773 | + | 0.144628i | 0.519520 | − | 0.854458i | \(-0.326111\pi\) |
−0.0427467 | + | 0.999086i | \(0.513611\pi\) | |||||||
\(14\) | 4.13948 | − | 0.747527i | 0.295677 | − | 0.0533948i | ||||
\(15\) | 9.89005 | + | 4.09659i | 0.659336 | + | 0.273106i | ||||
\(16\) | 1.13124 | − | 15.9600i | 0.0707023 | − | 0.997497i | ||||
\(17\) | 5.14803 | + | 12.4285i | 0.302826 | + | 0.731086i | 0.999901 | + | 0.0140876i | \(0.00448436\pi\) |
−0.697075 | + | 0.716998i | \(0.745516\pi\) | |||||||
\(18\) | 5.04700 | − | 3.24465i | 0.280389 | − | 0.180258i | ||||
\(19\) | 19.9617 | − | 10.6697i | 1.05061 | − | 0.561565i | 0.146656 | − | 0.989187i | \(-0.453149\pi\) |
0.903957 | + | 0.427623i | \(0.140649\pi\) | |||||||
\(20\) | 21.3769 | + | 12.4178i | 1.06885 | + | 0.620889i | ||||
\(21\) | 2.31102 | + | 2.81599i | 0.110049 | + | 0.134095i | ||||
\(22\) | 5.22826 | + | 18.4010i | 0.237648 | + | 0.836408i | ||||
\(23\) | 3.20682 | + | 2.14273i | 0.139427 | + | 0.0931621i | 0.623327 | − | 0.781961i | \(-0.285780\pi\) |
−0.483901 | + | 0.875123i | \(0.660780\pi\) | |||||||
\(24\) | 12.5495 | − | 5.87443i | 0.522898 | − | 0.244768i | ||||
\(25\) | −10.9740 | + | 7.33261i | −0.438961 | + | 0.293305i | ||||
\(26\) | 1.04146 | + | 12.9120i | 0.0400562 | + | 0.496614i | ||||
\(27\) | 4.58260 | + | 2.44945i | 0.169726 | + | 0.0907203i | ||||
\(28\) | 4.42358 | + | 7.15601i | 0.157985 | + | 0.255572i | ||||
\(29\) | 4.99399 | − | 0.491865i | 0.172207 | − | 0.0169609i | −0.0115463 | − | 0.999933i | \(-0.503675\pi\) |
0.183753 | + | 0.982972i | \(0.441175\pi\) | |||||||
\(30\) | −0.378727 | + | 21.4065i | −0.0126242 | + | 0.713549i | ||||
\(31\) | 30.4590 | − | 30.4590i | 0.982550 | − | 0.982550i | −0.0173007 | − | 0.999850i | \(-0.505507\pi\) |
0.999850 | + | 0.0173007i | \(0.00550727\pi\) | |||||||
\(32\) | 30.5303 | − | 9.58641i | 0.954073 | − | 0.299575i | ||||
\(33\) | −11.7143 | + | 11.7143i | −0.354978 | + | 0.354978i | ||||
\(34\) | −19.3582 | + | 18.6851i | −0.569359 | + | 0.549563i | ||||
\(35\) | −12.9363 | + | 1.27412i | −0.369609 | + | 0.0364033i | ||||
\(36\) | 9.73556 | + | 7.01561i | 0.270432 | + | 0.194878i | ||||
\(37\) | −21.9329 | − | 11.7234i | −0.592781 | − | 0.316848i | 0.147588 | − | 0.989049i | \(-0.452849\pi\) |
−0.740369 | + | 0.672201i | \(0.765349\pi\) | |||||||
\(38\) | 34.4796 | + | 29.3326i | 0.907358 | + | 0.771910i | ||||
\(39\) | −9.32776 | + | 6.23261i | −0.239173 | + | 0.159810i | ||||
\(40\) | −7.44970 | + | 48.8794i | −0.186242 | + | 1.22199i | ||||
\(41\) | −20.7691 | − | 13.8774i | −0.506562 | − | 0.338474i | 0.275885 | − | 0.961191i | \(-0.411029\pi\) |
−0.782448 | + | 0.622716i | \(0.786029\pi\) | |||||||
\(42\) | −3.54761 | + | 6.36371i | −0.0844669 | + | 0.151517i | ||||
\(43\) | 20.7622 | + | 25.2988i | 0.482841 | + | 0.588344i | 0.956269 | − | 0.292489i | \(-0.0944834\pi\) |
−0.473427 | + | 0.880833i | \(0.656983\pi\) | |||||||
\(44\) | −30.4144 | + | 23.2097i | −0.691235 | + | 0.527493i | ||||
\(45\) | −16.3521 | + | 8.74038i | −0.363380 | + | 0.194231i | ||||
\(46\) | −1.63844 | + | 7.53760i | −0.0356184 | + | 0.163861i | ||||
\(47\) | −28.6184 | − | 69.0910i | −0.608903 | − | 1.47002i | −0.864195 | − | 0.503157i | \(-0.832172\pi\) |
0.255292 | − | 0.966864i | \(-0.417828\pi\) | |||||||
\(48\) | 20.1257 | + | 19.0514i | 0.419285 | + | 0.396905i | ||||
\(49\) | 41.1833 | + | 17.0587i | 0.840475 | + | 0.348136i | ||||
\(50\) | −21.6852 | − | 15.0512i | −0.433704 | − | 0.301024i | ||||
\(51\) | −22.2970 | − | 6.76373i | −0.437197 | − | 0.132622i | ||||
\(52\) | −23.2663 | + | 11.3970i | −0.447430 | + | 0.219173i | ||||
\(53\) | 43.1479 | + | 4.24969i | 0.814111 | + | 0.0801829i | 0.496498 | − | 0.868038i | \(-0.334619\pi\) |
0.317612 | + | 0.948221i | \(0.397119\pi\) | |||||||
\(54\) | −1.20141 | + | 10.3226i | −0.0222484 | + | 0.191160i | ||||
\(55\) | −11.5326 | − | 57.9783i | −0.209684 | − | 1.05415i | ||||
\(56\) | −10.0768 | + | 13.4745i | −0.179944 | + | 0.240617i | ||||
\(57\) | −7.64827 | + | 38.4505i | −0.134180 | + | 0.674569i | ||||
\(58\) | 4.57377 | + | 8.93354i | 0.0788581 | + | 0.154027i | ||||
\(59\) | −12.3809 | − | 40.8143i | −0.209845 | − | 0.691767i | −0.997167 | − | 0.0752244i | \(-0.976033\pi\) |
0.787321 | − | 0.616543i | \(-0.211467\pi\) | |||||||
\(60\) | −40.1151 | + | 14.9767i | −0.668584 | + | 0.249612i | ||||
\(61\) | −25.7782 | + | 31.4108i | −0.422593 | + | 0.514931i | −0.940170 | − | 0.340705i | \(-0.889334\pi\) |
0.517577 | + | 0.855637i | \(0.326834\pi\) | |||||||
\(62\) | 78.9977 | + | 34.3714i | 1.27416 | + | 0.554378i | ||||
\(63\) | −6.30966 | −0.100153 | ||||||||
\(64\) | 40.2057 | + | 49.7946i | 0.628214 | + | 0.778040i | ||||
\(65\) | − | 40.0307i | − | 0.615856i | ||||||
\(66\) | −30.3818 | − | 13.2189i | −0.460330 | − | 0.200287i | ||||
\(67\) | 99.4212 | + | 81.5929i | 1.48390 | + | 1.21780i | 0.919975 | + | 0.391977i | \(0.128209\pi\) |
0.563923 | + | 0.825827i | \(0.309291\pi\) | |||||||
\(68\) | −48.9543 | − | 22.3378i | −0.719916 | − | 0.328497i | ||||
\(69\) | −6.39254 | + | 1.93916i | −0.0926455 | + | 0.0281037i | ||||
\(70\) | −11.8478 | − | 23.1412i | −0.169254 | − | 0.330589i | ||||
\(71\) | −47.2124 | − | 9.39114i | −0.664964 | − | 0.132270i | −0.148943 | − | 0.988846i | \(-0.547587\pi\) |
−0.516021 | + | 0.856576i | \(0.672587\pi\) | |||||||
\(72\) | −5.92422 | + | 23.2573i | −0.0822808 | + | 0.323019i | ||||
\(73\) | 12.7678 | − | 2.53967i | 0.174901 | − | 0.0347900i | −0.106863 | − | 0.994274i | \(-0.534081\pi\) |
0.281764 | + | 0.959484i | \(0.409081\pi\) | |||||||
\(74\) | 5.75011 | − | 49.4054i | 0.0777042 | − | 0.667640i | ||||
\(75\) | 2.24069 | − | 22.7501i | 0.0298759 | − | 0.303335i | ||||
\(76\) | −29.3298 | + | 85.6548i | −0.385918 | + | 1.12704i | ||||
\(77\) | 5.83953 | − | 19.2504i | 0.0758381 | − | 0.250005i | ||||
\(78\) | −18.4321 | − | 12.7933i | −0.236309 | − | 0.164016i | ||||
\(79\) | 50.3282 | − | 121.503i | 0.637065 | − | 1.53801i | −0.193506 | − | 0.981099i | \(-0.561986\pi\) |
0.830571 | − | 0.556913i | \(-0.188014\pi\) | |||||||
\(80\) | −96.4224 | + | 21.9432i | −1.20528 | + | 0.274290i | ||||
\(81\) | −8.31492 | + | 3.44415i | −0.102653 | + | 0.0425204i | ||||
\(82\) | 10.6114 | − | 48.8175i | 0.129408 | − | 0.595335i | ||||
\(83\) | −31.6094 | − | 59.1371i | −0.380837 | − | 0.712495i | 0.616349 | − | 0.787473i | \(-0.288611\pi\) |
−0.997185 | + | 0.0749784i | \(0.976111\pi\) | |||||||
\(84\) | −14.4418 | − | 1.94033i | −0.171926 | − | 0.0230991i | ||||
\(85\) | 64.2702 | − | 52.7452i | 0.756120 | − | 0.620531i | ||||
\(86\) | −31.8717 | + | 57.1715i | −0.370601 | + | 0.664785i | ||||
\(87\) | −4.82885 | + | 7.22688i | −0.0555040 | + | 0.0830676i | ||||
\(88\) | −65.4738 | − | 39.5989i | −0.744021 | − | 0.449987i | ||||
\(89\) | −18.6586 | − | 27.9246i | −0.209647 | − | 0.313759i | 0.711712 | − | 0.702471i | \(-0.247920\pi\) |
−0.921359 | + | 0.388712i | \(0.872920\pi\) | |||||||
\(90\) | −28.2448 | − | 24.0285i | −0.313831 | − | 0.266984i | ||||
\(91\) | 6.42157 | − | 12.0139i | 0.0705667 | − | 0.132021i | ||||
\(92\) | −15.2278 | + | 2.47259i | −0.165520 | + | 0.0268760i | ||||
\(93\) | 7.31297 | + | 74.2498i | 0.0786341 | + | 0.798385i | ||||
\(94\) | 107.614 | − | 103.873i | 1.14483 | − | 1.10503i | ||||
\(95\) | −98.9177 | − | 98.9177i | −1.04124 | − | 1.04124i | ||||
\(96\) | −20.7116 | + | 51.4104i | −0.215746 | + | 0.535525i | ||||
\(97\) | 31.4893 | + | 31.4893i | 0.324632 | + | 0.324632i | 0.850541 | − | 0.525909i | \(-0.176275\pi\) |
−0.525909 | + | 0.850541i | \(0.676275\pi\) | |||||||
\(98\) | −1.57706 | + | 89.1390i | −0.0160925 | + | 0.909582i | ||||
\(99\) | −2.81250 | − | 28.5558i | −0.0284091 | − | 0.288442i | ||||
\(100\) | 12.1246 | − | 51.3823i | 0.121246 | − | 0.513823i | ||||
\(101\) | 59.8985 | − | 112.062i | 0.593055 | − | 1.10953i | −0.389054 | − | 0.921215i | \(-0.627198\pi\) |
0.982109 | − | 0.188313i | \(-0.0603019\pi\) | |||||||
\(102\) | −3.74658 | − | 46.4498i | −0.0367312 | − | 0.455391i | ||||
\(103\) | −10.0301 | − | 15.0111i | −0.0973797 | − | 0.145739i | 0.779580 | − | 0.626302i | \(-0.215432\pi\) |
−0.876960 | + | 0.480563i | \(0.840432\pi\) | |||||||
\(104\) | −38.2539 | − | 34.9499i | −0.367826 | − | 0.336057i | ||||
\(105\) | 12.5085 | − | 18.7203i | 0.119129 | − | 0.178289i | ||||
\(106\) | 23.6997 | + | 83.4117i | 0.223582 | + | 0.786903i | ||||
\(107\) | −25.8010 | + | 21.1743i | −0.241131 | + | 0.197891i | −0.747195 | − | 0.664605i | \(-0.768600\pi\) |
0.506064 | + | 0.862496i | \(0.331100\pi\) | |||||||
\(108\) | −20.0906 | + | 5.32612i | −0.186024 | + | 0.0493159i | ||||
\(109\) | 96.8055 | + | 181.110i | 0.888124 | + | 1.66156i | 0.740014 | + | 0.672591i | \(0.234819\pi\) |
0.148109 | + | 0.988971i | \(0.452681\pi\) | |||||||
\(110\) | 99.4498 | − | 63.9350i | 0.904089 | − | 0.581227i | ||||
\(111\) | 39.7962 | − | 16.4841i | 0.358525 | − | 0.148506i | ||||
\(112\) | −32.4581 | − | 8.88218i | −0.289805 | − | 0.0793051i | ||||
\(113\) | −25.1499 | + | 60.7173i | −0.222566 | + | 0.537321i | −0.995237 | − | 0.0974851i | \(-0.968920\pi\) |
0.772671 | + | 0.634806i | \(0.218920\pi\) | |||||||
\(114\) | −77.1595 | + | 13.9338i | −0.676837 | + | 0.122226i | ||||
\(115\) | 6.91950 | − | 22.8105i | 0.0601695 | − | 0.198352i | ||||
\(116\) | −13.2748 | + | 15.0562i | −0.114438 | + | 0.129795i | ||||
\(117\) | 1.90456 | − | 19.3373i | 0.0162783 | − | 0.165276i | ||||
\(118\) | 66.8860 | − | 52.9399i | 0.566830 | − | 0.448643i | ||||
\(119\) | 27.7498 | − | 5.51978i | 0.233192 | − | 0.0463847i | ||||
\(120\) | −57.2586 | − | 63.6831i | −0.477155 | − | 0.530693i | ||||
\(121\) | −28.9502 | − | 5.75855i | −0.239258 | − | 0.0475913i | ||||
\(122\) | −77.3399 | − | 24.9631i | −0.633933 | − | 0.204615i | ||||
\(123\) | 41.4015 | − | 12.5590i | 0.336597 | − | 0.102106i | ||||
\(124\) | −6.09490 | + | 172.195i | −0.0491525 | + | 1.38867i | ||||
\(125\) | −56.3833 | − | 46.2726i | −0.451066 | − | 0.370180i | ||||
\(126\) | −4.62221 | − | 11.7423i | −0.0366842 | − | 0.0931931i | ||||
\(127\) | − | 61.9840i | − | 0.488063i | −0.969767 | − | 0.244031i | \(-0.921530\pi\) | ||
0.969767 | − | 0.244031i | \(-0.0784700\pi\) | |||||||
\(128\) | −63.2150 | + | 111.301i | −0.493867 | + | 0.869537i | ||||
\(129\) | −56.6859 | −0.439426 | ||||||||
\(130\) | 74.4974 | − | 29.3249i | 0.573057 | − | 0.225576i | ||||
\(131\) | −69.3975 | + | 84.5611i | −0.529752 | + | 0.645504i | −0.967283 | − | 0.253699i | \(-0.918353\pi\) |
0.437532 | + | 0.899203i | \(0.355853\pi\) | |||||||
\(132\) | 2.34404 | − | 66.2244i | 0.0177579 | − | 0.501700i | ||||
\(133\) | −13.8190 | − | 45.5550i | −0.103902 | − | 0.342519i | ||||
\(134\) | −79.0129 | + | 244.795i | −0.589649 | + | 1.82683i | ||||
\(135\) | 6.26527 | − | 31.4977i | 0.0464094 | − | 0.233316i | ||||
\(136\) | 5.70881 | − | 107.468i | 0.0419765 | − | 0.790207i | ||||
\(137\) | −5.20621 | − | 26.1734i | −0.0380015 | − | 0.191047i | 0.957122 | − | 0.289686i | \(-0.0935509\pi\) |
−0.995123 | + | 0.0986395i | \(0.968551\pi\) | |||||||
\(138\) | −8.29172 | − | 10.4760i | −0.0600849 | − | 0.0759132i | ||||
\(139\) | 89.0877 | + | 8.77438i | 0.640919 | + | 0.0631250i | 0.413256 | − | 0.910615i | \(-0.364392\pi\) |
0.227663 | + | 0.973740i | \(0.426892\pi\) | |||||||
\(140\) | 34.3868 | − | 39.0012i | 0.245620 | − | 0.278580i | ||||
\(141\) | 123.951 | + | 37.6003i | 0.879088 | + | 0.266669i | ||||
\(142\) | −17.1090 | − | 94.7423i | −0.120486 | − | 0.667200i | ||||
\(143\) | 57.2341 | + | 23.7072i | 0.400239 | + | 0.165784i | ||||
\(144\) | −47.6220 | + | 6.01240i | −0.330708 | + | 0.0417528i | ||||
\(145\) | −11.8688 | − | 28.6538i | −0.0818537 | − | 0.197612i | ||||
\(146\) | 14.0795 | + | 21.9005i | 0.0964352 | + | 0.150003i | ||||
\(147\) | −68.0920 | + | 36.3959i | −0.463211 | + | 0.247591i | ||||
\(148\) | 96.1561 | − | 25.4915i | 0.649704 | − | 0.172240i | ||||
\(149\) | 123.915 | + | 150.991i | 0.831647 | + | 1.01336i | 0.999620 | + | 0.0275728i | \(0.00877782\pi\) |
−0.167973 | + | 0.985792i | \(0.553722\pi\) | |||||||
\(150\) | 43.9797 | − | 12.4959i | 0.293198 | − | 0.0833062i | ||||
\(151\) | −190.006 | − | 126.958i | −1.25832 | − | 0.840782i | −0.265938 | − | 0.963990i | \(-0.585682\pi\) |
−0.992381 | + | 0.123208i | \(0.960682\pi\) | |||||||
\(152\) | −180.890 | + | 8.16436i | −1.19007 | + | 0.0537129i | ||||
\(153\) | 33.5559 | − | 22.4214i | 0.219320 | − | 0.146545i | ||||
\(154\) | 40.1029 | − | 3.23465i | 0.260408 | − | 0.0210042i | ||||
\(155\) | −234.792 | − | 125.499i | −1.51479 | − | 0.809671i | ||||
\(156\) | 10.3058 | − | 43.6742i | 0.0660625 | − | 0.279963i | ||||
\(157\) | −107.999 | + | 10.6370i | −0.687895 | + | 0.0677517i | −0.435924 | − | 0.899983i | \(-0.643578\pi\) |
−0.251970 | + | 0.967735i | \(0.581078\pi\) | |||||||
\(158\) | 262.987 | + | 4.65281i | 1.66447 | + | 0.0294481i | ||||
\(159\) | −53.1008 | + | 53.1008i | −0.333967 | + | 0.333967i | ||||
\(160\) | −111.472 | − | 163.368i | −0.696699 | − | 1.02105i | ||||
\(161\) | 5.73585 | − | 5.73585i | 0.0356264 | − | 0.0356264i | ||||
\(162\) | −12.5008 | − | 12.9511i | −0.0771653 | − | 0.0799449i | ||||
\(163\) | −131.628 | + | 12.9642i | −0.807533 | + | 0.0795351i | −0.493354 | − | 0.869829i | \(-0.664229\pi\) |
−0.314179 | + | 0.949364i | \(0.601729\pi\) | |||||||
\(164\) | 98.6233 | − | 16.0138i | 0.601362 | − | 0.0976453i | ||||
\(165\) | 90.2988 | + | 48.2657i | 0.547266 | + | 0.292520i | ||||
\(166\) | 86.8988 | − | 102.147i | 0.523487 | − | 0.615343i | ||||
\(167\) | 50.2187 | − | 33.5551i | 0.300711 | − | 0.200928i | −0.396056 | − | 0.918226i | \(-0.629621\pi\) |
0.696767 | + | 0.717298i | \(0.254621\pi\) | |||||||
\(168\) | −6.96851 | − | 28.2977i | −0.0414792 | − | 0.168438i | ||||
\(169\) | −105.638 | − | 70.5847i | −0.625074 | − | 0.417661i | ||||
\(170\) | 145.241 | + | 80.9683i | 0.854359 | + | 0.476284i | ||||
\(171\) | −43.0771 | − | 52.4896i | −0.251913 | − | 0.306957i | ||||
\(172\) | −129.745 | − | 17.4319i | −0.754330 | − | 0.101348i | ||||
\(173\) | −234.498 | + | 125.342i | −1.35548 | + | 0.724518i | −0.979373 | − | 0.202060i | \(-0.935237\pi\) |
−0.376104 | + | 0.926577i | \(0.622737\pi\) | |||||||
\(174\) | −16.9867 | − | 3.69240i | −0.0976248 | − | 0.0212207i | ||||
\(175\) | 10.6229 | + | 25.6460i | 0.0607024 | + | 0.146549i | ||||
\(176\) | 25.7303 | − | 150.856i | 0.146195 | − | 0.857136i | ||||
\(177\) | 68.2501 | + | 28.2701i | 0.385594 | + | 0.159718i | ||||
\(178\) | 38.2993 | − | 55.1803i | 0.215165 | − | 0.310002i | ||||
\(179\) | 59.6029 | + | 18.0804i | 0.332977 | + | 0.101008i | 0.452346 | − | 0.891842i | \(-0.350587\pi\) |
−0.119369 | + | 0.992850i | \(0.538087\pi\) | |||||||
\(180\) | 24.0262 | − | 70.1663i | 0.133479 | − | 0.389813i | ||||
\(181\) | 39.6222 | + | 3.90245i | 0.218907 | + | 0.0215605i | 0.206876 | − | 0.978367i | \(-0.433670\pi\) |
0.0120312 | + | 0.999928i | \(0.496170\pi\) | |||||||
\(182\) | 27.0622 | + | 3.14967i | 0.148693 | + | 0.0173059i | ||||
\(183\) | −13.7306 | − | 69.0285i | −0.0750307 | − | 0.377205i | ||||
\(184\) | −15.7568 | − | 26.5277i | −0.0856349 | − | 0.144173i | ||||
\(185\) | −29.9864 | + | 150.752i | −0.162088 | + | 0.814874i | ||||
\(186\) | −132.822 | + | 68.0021i | −0.714099 | + | 0.365602i | ||||
\(187\) | 37.3504 | + | 123.128i | 0.199735 | + | 0.658437i | ||||
\(188\) | 272.142 | + | 124.178i | 1.44756 | + | 0.660521i | ||||
\(189\) | 6.93306 | − | 8.44796i | 0.0366829 | − | 0.0446982i | ||||
\(190\) | 111.623 | − | 256.550i | 0.587492 | − | 1.35026i | ||||
\(191\) | −63.9722 | −0.334933 | −0.167467 | − | 0.985878i | \(-0.553559\pi\) | ||||
−0.167467 | + | 0.985878i | \(0.553559\pi\) | |||||||
\(192\) | −110.848 | − | 0.883177i | −0.577332 | − | 0.00459988i | ||||
\(193\) | − | 151.671i | − | 0.785862i | −0.919568 | − | 0.392931i | \(-0.871461\pi\) | ||
0.919568 | − | 0.392931i | \(-0.128539\pi\) | |||||||
\(194\) | −35.5340 | + | 81.6698i | −0.183165 | + | 0.420978i | ||||
\(195\) | 53.5968 | + | 43.9857i | 0.274855 | + | 0.225568i | ||||
\(196\) | −167.044 | + | 62.3648i | −0.852264 | + | 0.318188i | ||||
\(197\) | −113.968 | + | 34.5718i | −0.578517 | + | 0.175491i | −0.565964 | − | 0.824430i | \(-0.691496\pi\) |
−0.0125532 | + | 0.999921i | \(0.503996\pi\) | |||||||
\(198\) | 51.0823 | − | 26.1530i | 0.257991 | − | 0.132086i | ||||
\(199\) | 191.661 | + | 38.1237i | 0.963118 | + | 0.191576i | 0.651515 | − | 0.758636i | \(-0.274134\pi\) |
0.311604 | + | 0.950212i | \(0.399134\pi\) | |||||||
\(200\) | 104.505 | − | 15.0766i | 0.522525 | − | 0.0753831i | ||||
\(201\) | −218.488 | + | 43.4600i | −1.08701 | + | 0.216219i | ||||
\(202\) | 252.428 | + | 29.3792i | 1.24965 | + | 0.145442i | ||||
\(203\) | 1.03450 | − | 10.5035i | 0.00509606 | − | 0.0517412i | ||||
\(204\) | 83.6990 | − | 40.9998i | 0.410289 | − | 0.200979i | ||||
\(205\) | −44.8143 | + | 147.733i | −0.218606 | + | 0.720649i | ||||
\(206\) | 20.5882 | − | 29.6627i | 0.0999425 | − | 0.143994i | ||||
\(207\) | 4.42781 | − | 10.6897i | 0.0213904 | − | 0.0516410i | ||||
\(208\) | 37.0187 | − | 96.7937i | 0.177975 | − | 0.465355i | ||||
\(209\) | 200.010 | − | 82.8468i | 0.956985 | − | 0.396396i | ||||
\(210\) | 44.0020 | + | 9.56469i | 0.209533 | + | 0.0455462i | ||||
\(211\) | 13.8322 | + | 25.8782i | 0.0655554 | + | 0.122646i | 0.912564 | − | 0.408933i | \(-0.134099\pi\) |
−0.847009 | + | 0.531579i | \(0.821599\pi\) | |||||||
\(212\) | −137.868 | + | 105.210i | −0.650323 | + | 0.496272i | ||||
\(213\) | 64.4508 | − | 52.8934i | 0.302586 | − | 0.248326i | ||||
\(214\) | −58.3064 | − | 32.5044i | −0.272460 | − | 0.151890i | ||||
\(215\) | 112.377 | − | 168.183i | 0.522682 | − | 0.782248i | ||||
\(216\) | −24.6295 | − | 33.4871i | −0.114026 | − | 0.155033i | ||||
\(217\) | −50.3332 | − | 75.3290i | −0.231950 | − | 0.347138i | ||||
\(218\) | −266.132 | + | 312.830i | −1.22079 | + | 1.43500i | ||||
\(219\) | −10.6289 | + | 19.8853i | −0.0485339 | + | 0.0908005i | ||||
\(220\) | 191.837 | + | 138.241i | 0.871985 | + | 0.628367i | ||||
\(221\) | 8.54032 | + | 86.7113i | 0.0386440 | + | 0.392359i | ||||
\(222\) | 59.8303 | + | 61.9855i | 0.269506 | + | 0.279214i | ||||
\(223\) | 213.102 | + | 213.102i | 0.955616 | + | 0.955616i | 0.999056 | − | 0.0434403i | \(-0.0138318\pi\) |
−0.0434403 | + | 0.999056i | \(0.513832\pi\) | |||||||
\(224\) | −7.24776 | − | 66.9116i | −0.0323561 | − | 0.298713i | ||||
\(225\) | 27.9979 | + | 27.9979i | 0.124435 | + | 0.124435i | ||||
\(226\) | −131.419 | − | 2.32510i | −0.581501 | − | 0.0102880i | ||||
\(227\) | −10.8142 | − | 109.798i | −0.0476396 | − | 0.483693i | −0.989171 | − | 0.146768i | \(-0.953113\pi\) |
0.941531 | − | 0.336925i | \(-0.109387\pi\) | |||||||
\(228\) | −82.4550 | − | 133.387i | −0.361645 | − | 0.585031i | ||||
\(229\) | −101.713 | + | 190.291i | −0.444160 | + | 0.830965i | −1.00000 | 0.000324216i | \(-0.999897\pi\) | |
0.555840 | + | 0.831289i | \(0.312397\pi\) | |||||||
\(230\) | 47.5195 | − | 3.83286i | 0.206607 | − | 0.0166646i | ||||
\(231\) | 19.3577 | + | 28.9708i | 0.0837995 | + | 0.125415i | ||||
\(232\) | −37.7443 | − | 13.6750i | −0.162691 | − | 0.0589439i | ||||
\(233\) | −149.057 | + | 223.079i | −0.639727 | + | 0.957420i | 0.359973 | + | 0.932963i | \(0.382786\pi\) |
−0.999701 | + | 0.0244573i | \(0.992214\pi\) | |||||||
\(234\) | 37.3820 | − | 10.6213i | 0.159752 | − | 0.0453904i | ||||
\(235\) | −357.284 | + | 293.216i | −1.52036 | + | 1.24773i | ||||
\(236\) | 147.520 | + | 85.6937i | 0.625083 | + | 0.363109i | ||||
\(237\) | 107.379 | + | 200.892i | 0.453075 | + | 0.847644i | ||||
\(238\) | 30.6008 | + | 47.5991i | 0.128575 | + | 0.199996i | ||||
\(239\) | 173.284 | − | 71.7767i | 0.725039 | − | 0.300321i | 0.0105275 | − | 0.999945i | \(-0.496649\pi\) |
0.714512 | + | 0.699624i | \(0.246649\pi\) | |||||||
\(240\) | 76.5694 | − | 153.211i | 0.319039 | − | 0.638377i | ||||
\(241\) | −138.086 | + | 333.370i | −0.572972 | + | 1.38328i | 0.326041 | + | 0.945356i | \(0.394285\pi\) |
−0.899013 | + | 0.437922i | \(0.855715\pi\) | |||||||
\(242\) | −10.4911 | − | 58.0950i | −0.0433515 | − | 0.240062i | ||||
\(243\) | 4.52509 | − | 14.9172i | 0.0186218 | − | 0.0613878i | ||||
\(244\) | −10.1997 | − | 162.217i | −0.0418020 | − | 0.664825i | ||||
\(245\) | 27.0041 | − | 274.177i | 0.110221 | − | 1.11909i | ||||
\(246\) | 53.7015 | + | 67.8483i | 0.218299 | + | 0.275806i | ||||
\(247\) | 143.784 | − | 28.6005i | 0.582122 | − | 0.115791i | ||||
\(248\) | −324.920 | + | 114.800i | −1.31016 | + | 0.462905i | ||||
\(249\) | 113.911 | + | 22.6583i | 0.457473 | + | 0.0909970i | ||||
\(250\) | 44.8094 | − | 138.827i | 0.179238 | − | 0.555309i | ||||
\(251\) | −283.173 | + | 85.8997i | −1.12818 | + | 0.342230i | −0.798579 | − | 0.601890i | \(-0.794415\pi\) |
−0.329602 | + | 0.944120i | \(0.606915\pi\) | |||||||
\(252\) | 18.4665 | − | 17.2039i | 0.0732798 | − | 0.0682696i | ||||
\(253\) | 28.5156 | + | 23.4022i | 0.112710 | + | 0.0924987i | ||||
\(254\) | 115.353 | − | 45.4071i | 0.454145 | − | 0.178768i | ||||
\(255\) | 144.007i | 0.564735i | ||||||||
\(256\) | −253.441 | − | 36.1090i | −0.990002 | − | 0.141051i | ||||
\(257\) | −333.971 | −1.29950 | −0.649749 | − | 0.760149i | \(-0.725126\pi\) | ||||
−0.649749 | + | 0.760149i | \(0.725126\pi\) | |||||||
\(258\) | −41.5259 | − | 105.493i | −0.160953 | − | 0.408887i | ||||
\(259\) | −33.1825 | + | 40.4330i | −0.128118 | + | 0.156112i | ||||
\(260\) | 109.148 | + | 117.158i | 0.419799 | + | 0.450608i | ||||
\(261\) | −4.37008 | − | 14.4062i | −0.0167436 | − | 0.0551963i | ||||
\(262\) | −208.207 | − | 67.2032i | −0.794683 | − | 0.256501i | ||||
\(263\) | −16.2260 | + | 81.5734i | −0.0616957 | + | 0.310165i | −0.999295 | − | 0.0375535i | \(-0.988044\pi\) |
0.937599 | + | 0.347719i | \(0.113044\pi\) | |||||||
\(264\) | 124.961 | − | 44.1512i | 0.473339 | − | 0.167239i | ||||
\(265\) | −52.2774 | − | 262.816i | −0.197273 | − | 0.991759i | ||||
\(266\) | 74.6550 | − | 59.0890i | 0.280658 | − | 0.222139i | ||||
\(267\) | 57.8901 | + | 5.70168i | 0.216817 | + | 0.0213546i | ||||
\(268\) | −513.448 | + | 32.2840i | −1.91585 | + | 0.120463i | ||||
\(269\) | 268.910 | + | 81.5729i | 0.999665 | + | 0.303245i | 0.747372 | − | 0.664406i | \(-0.231315\pi\) |
0.252293 | + | 0.967651i | \(0.418815\pi\) | |||||||
\(270\) | 63.2071 | − | 11.4142i | 0.234100 | − | 0.0422749i | ||||
\(271\) | 333.176 | + | 138.006i | 1.22943 | + | 0.509248i | 0.900397 | − | 0.435070i | \(-0.143276\pi\) |
0.329036 | + | 0.944317i | \(0.393276\pi\) | |||||||
\(272\) | 204.181 | − | 68.1029i | 0.750667 | − | 0.250378i | ||||
\(273\) | 9.02932 | + | 21.7987i | 0.0330744 | + | 0.0798487i | ||||
\(274\) | 44.8950 | − | 28.8624i | 0.163851 | − | 0.105337i | ||||
\(275\) | −111.332 | + | 59.5081i | −0.404843 | + | 0.216393i | ||||
\(276\) | 13.4218 | − | 23.1053i | 0.0486297 | − | 0.0837148i | ||||
\(277\) | 97.8660 | + | 119.250i | 0.353307 | + | 0.430506i | 0.919090 | − | 0.394049i | \(-0.128926\pi\) |
−0.565783 | + | 0.824554i | \(0.691426\pi\) | |||||||
\(278\) | 48.9330 | + | 172.221i | 0.176018 | + | 0.619499i | ||||
\(279\) | −107.448 | − | 71.7945i | −0.385119 | − | 0.257328i | ||||
\(280\) | 97.7720 | + | 35.4234i | 0.349186 | + | 0.126512i | ||||
\(281\) | −193.066 | + | 129.003i | −0.687068 | + | 0.459084i | −0.849468 | − | 0.527641i | \(-0.823077\pi\) |
0.162399 | + | 0.986725i | \(0.448077\pi\) | |||||||
\(282\) | 20.8276 | + | 258.219i | 0.0738568 | + | 0.915671i | ||||
\(283\) | 418.823 | + | 223.865i | 1.47994 | + | 0.791043i | 0.996440 | − | 0.0843021i | \(-0.0268661\pi\) |
0.483498 | + | 0.875346i | \(0.339366\pi\) | |||||||
\(284\) | 163.783 | − | 101.245i | 0.576700 | − | 0.356495i | ||||
\(285\) | 241.131 | − | 23.7494i | 0.846075 | − | 0.0833311i | ||||
\(286\) | −2.19171 | + | 123.880i | −0.00766333 | + | 0.433147i | ||||
\(287\) | −37.1484 | + | 37.1484i | −0.129437 | + | 0.129437i | ||||
\(288\) | −46.0751 | − | 84.2204i | −0.159983 | − | 0.292432i | ||||
\(289\) | 76.3896 | − | 76.3896i | 0.264324 | − | 0.264324i | ||||
\(290\) | 44.6303 | − | 43.0785i | 0.153898 | − | 0.148547i | ||||
\(291\) | −76.7613 | + | 7.56033i | −0.263785 | + | 0.0259805i | ||||
\(292\) | −30.4429 | + | 42.2456i | −0.104257 | + | 0.144677i | ||||
\(293\) | 354.392 | + | 189.427i | 1.20953 | + | 0.646507i | 0.947871 | − | 0.318653i | \(-0.103230\pi\) |
0.261659 | + | 0.965160i | \(0.415730\pi\) | |||||||
\(294\) | −117.615 | − | 100.058i | −0.400050 | − | 0.340332i | ||||
\(295\) | −219.177 | + | 146.450i | −0.742975 | + | 0.496440i | ||||
\(296\) | 117.880 | + | 160.273i | 0.398244 | + | 0.541464i | ||||
\(297\) | 41.3236 | + | 27.6115i | 0.139137 | + | 0.0929681i | ||||
\(298\) | −190.221 | + | 341.218i | −0.638324 | + | 1.14503i | ||||
\(299\) | 15.8474 | + | 19.3101i | 0.0530012 | + | 0.0645822i | ||||
\(300\) | 55.4728 | + | 72.6925i | 0.184909 | + | 0.242308i | ||||
\(301\) | 60.7056 | − | 32.4478i | 0.201680 | − | 0.107800i | ||||
\(302\) | 97.0789 | − | 446.608i | 0.321453 | − | 1.47883i | ||||
\(303\) | 84.2229 | + | 203.332i | 0.277963 | + | 0.671063i | ||||
\(304\) | −147.707 | − | 330.657i | −0.485879 | − | 1.08769i | ||||
\(305\) | 232.023 | + | 96.1071i | 0.760732 | + | 0.315105i | ||||
\(306\) | 66.3081 | + | 46.0229i | 0.216693 | + | 0.150402i | ||||
\(307\) | 568.899 | + | 172.574i | 1.85309 | + | 0.562129i | 0.999126 | + | 0.0418004i | \(0.0133093\pi\) |
0.853966 | + | 0.520329i | \(0.174191\pi\) | |||||||
\(308\) | 35.3975 | + | 72.2623i | 0.114927 | + | 0.234618i | ||||
\(309\) | 31.1194 | + | 3.06499i | 0.100710 | + | 0.00991907i | ||||
\(310\) | 61.5551 | − | 528.886i | 0.198565 | − | 1.70608i | ||||
\(311\) | −53.5464 | − | 269.196i | −0.172175 | − | 0.865582i | −0.966219 | − | 0.257722i | \(-0.917028\pi\) |
0.794044 | − | 0.607860i | \(-0.207972\pi\) | |||||||
\(312\) | 88.8276 | − | 12.8149i | 0.284704 | − | 0.0410734i | ||||
\(313\) | 27.6860 | − | 139.187i | 0.0884537 | − | 0.444687i | −0.911023 | − | 0.412355i | \(-0.864706\pi\) |
0.999477 | − | 0.0323324i | \(-0.0102935\pi\) | |||||||
\(314\) | −98.9118 | − | 193.196i | −0.315006 | − | 0.615273i | ||||
\(315\) | 11.3201 | + | 37.3175i | 0.0359370 | + | 0.118468i | ||||
\(316\) | 183.995 | + | 492.829i | 0.582262 | + | 1.55958i | ||||
\(317\) | −53.4878 | + | 65.1750i | −0.168731 | + | 0.205599i | −0.850510 | − | 0.525959i | \(-0.823707\pi\) |
0.681779 | + | 0.731558i | \(0.261207\pi\) | |||||||
\(318\) | −137.721 | − | 59.9215i | −0.433084 | − | 0.188432i | ||||
\(319\) | 47.9969 | 0.150461 | ||||||||
\(320\) | 222.370 | − | 327.127i | 0.694905 | − | 1.02227i | ||||
\(321\) | − | 57.8112i | − | 0.180097i | ||||||
\(322\) | 14.8763 | + | 6.47260i | 0.0461998 | + | 0.0201012i | ||||
\(323\) | 235.372 | + | 193.164i | 0.728705 | + | 0.598032i | ||||
\(324\) | 14.9445 | − | 32.7515i | 0.0461250 | − | 0.101085i | ||||
\(325\) | −81.8041 | + | 24.8150i | −0.251705 | + | 0.0763538i | ||||
\(326\) | −120.552 | − | 235.464i | −0.369792 | − | 0.722281i | ||||
\(327\) | −348.857 | − | 69.3920i | −1.06684 | − | 0.212208i | ||||
\(328\) | 102.049 | + | 171.808i | 0.311126 | + | 0.523804i | ||||
\(329\) | −154.264 | + | 30.6850i | −0.468887 | + | 0.0932675i | ||||
\(330\) | −23.6735 | + | 203.405i | −0.0717380 | + | 0.616377i | ||||
\(331\) | 36.0939 | − | 366.467i | 0.109045 | − | 1.10715i | −0.772488 | − | 0.635029i | \(-0.780988\pi\) |
0.881533 | − | 0.472123i | \(-0.156512\pi\) | |||||||
\(332\) | 253.755 | + | 86.8905i | 0.764323 | + | 0.261718i | ||||
\(333\) | −21.6576 | + | 71.3957i | −0.0650380 | + | 0.214401i | ||||
\(334\) | 99.2345 | + | 68.8763i | 0.297109 | + | 0.206216i | ||||
\(335\) | 304.197 | − | 734.398i | 0.908052 | − | 2.19223i | ||||
\(336\) | 47.5573 | − | 33.6982i | 0.141540 | − | 0.100292i | ||||
\(337\) | −334.766 | + | 138.665i | −0.993372 | + | 0.411468i | −0.819363 | − | 0.573276i | \(-0.805672\pi\) |
−0.174010 | + | 0.984744i | \(0.555672\pi\) | |||||||
\(338\) | 53.9729 | − | 248.300i | 0.159683 | − | 0.734615i | ||||
\(339\) | −53.6592 | − | 100.389i | −0.158287 | − | 0.296134i | ||||
\(340\) | −44.2847 | + | 329.609i | −0.130249 | + | 0.969439i | ||||
\(341\) | 318.483 | − | 261.372i | 0.933967 | − | 0.766487i | ||||
\(342\) | 66.1270 | − | 118.619i | 0.193354 | − | 0.346839i | ||||
\(343\) | 109.343 | − | 163.643i | 0.318784 | − | 0.477093i | ||||
\(344\) | −62.6051 | − | 254.226i | −0.181991 | − | 0.739029i | ||||
\(345\) | 22.9377 | + | 34.3287i | 0.0664861 | + | 0.0995035i | ||||
\(346\) | −405.046 | − | 344.582i | −1.17065 | − | 0.995901i | ||||
\(347\) | −153.797 | + | 287.733i | −0.443218 | + | 0.829203i | −0.999999 | − | 0.00145674i | \(-0.999536\pi\) |
0.556781 | + | 0.830659i | \(0.312036\pi\) | |||||||
\(348\) | −5.57223 | − | 34.3173i | −0.0160122 | − | 0.0986131i | ||||
\(349\) | −10.7530 | − | 109.177i | −0.0308107 | − | 0.312827i | −0.998221 | − | 0.0596144i | \(-0.981013\pi\) |
0.967411 | − | 0.253212i | \(-0.0814871\pi\) | |||||||
\(350\) | −39.9455 | + | 38.5566i | −0.114130 | + | 0.110162i | ||||
\(351\) | 23.7978 | + | 23.7978i | 0.0678001 | + | 0.0678001i | ||||
\(352\) | 299.593 | − | 62.6270i | 0.851117 | − | 0.177918i | ||||
\(353\) | −27.6535 | − | 27.6535i | −0.0783385 | − | 0.0783385i | 0.666852 | − | 0.745190i | \(-0.267641\pi\) |
−0.745190 | + | 0.666852i | \(0.767641\pi\) | |||||||
\(354\) | −2.61355 | + | 147.724i | −0.00738292 | + | 0.417298i | ||||
\(355\) | 29.1613 | + | 296.080i | 0.0821445 | + | 0.834027i | ||||
\(356\) | 130.748 | + | 30.8524i | 0.367268 | + | 0.0866640i | ||||
\(357\) | −23.1011 | + | 43.2192i | −0.0647091 | + | 0.121062i | ||||
\(358\) | 10.0151 | + | 124.167i | 0.0279752 | + | 0.346834i | ||||
\(359\) | −254.305 | − | 380.595i | −0.708371 | − | 1.06015i | −0.994780 | − | 0.102045i | \(-0.967461\pi\) |
0.286408 | − | 0.958108i | \(-0.407539\pi\) | |||||||
\(360\) | 148.181 | − | 6.68804i | 0.411613 | − | 0.0185779i | ||||
\(361\) | 84.0639 | − | 125.811i | 0.232864 | − | 0.348506i | ||||
\(362\) | 21.7632 | + | 76.5961i | 0.0601194 | + | 0.211592i | ||||
\(363\) | 39.5206 | − | 32.4337i | 0.108872 | − | 0.0893490i | ||||
\(364\) | 13.9632 | + | 52.6703i | 0.0383603 | + | 0.144699i | ||||
\(365\) | −37.9272 | − | 70.9568i | −0.103910 | − | 0.194402i | ||||
\(366\) | 118.404 | − | 76.1204i | 0.323508 | − | 0.207979i | ||||
\(367\) | −438.598 | + | 181.673i | −1.19509 | + | 0.495023i | −0.889410 | − | 0.457111i | \(-0.848884\pi\) |
−0.305681 | + | 0.952134i | \(0.598884\pi\) | |||||||
\(368\) | 37.8255 | − | 48.7568i | 0.102787 | − | 0.132491i | ||||
\(369\) | −28.6768 | + | 69.2320i | −0.0777150 | + | 0.187621i | ||||
\(370\) | −302.517 | + | 54.6299i | −0.817614 | + | 0.147648i | ||||
\(371\) | 26.4706 | − | 87.2620i | 0.0713494 | − | 0.235207i | ||||
\(372\) | −223.853 | − | 197.368i | −0.601755 | − | 0.530559i | ||||
\(373\) | 33.8114 | − | 343.293i | 0.0906472 | − | 0.920356i | −0.837076 | − | 0.547087i | \(-0.815737\pi\) |
0.927723 | − | 0.373269i | \(-0.121763\pi\) | |||||||
\(374\) | −201.780 | + | 159.708i | −0.539520 | + | 0.427027i | ||||
\(375\) | 123.908 | − | 24.6468i | 0.330421 | − | 0.0657249i | ||||
\(376\) | −31.7358 | + | 597.426i | −0.0844038 | + | 1.58890i | ||||
\(377\) | 31.8778 | + | 6.34089i | 0.0845565 | + | 0.0168193i | ||||
\(378\) | 20.8006 | + | 6.71384i | 0.0550281 | + | 0.0177615i | ||||
\(379\) | −440.712 | + | 133.688i | −1.16283 | + | 0.352740i | −0.811976 | − | 0.583691i | \(-0.801608\pi\) |
−0.350852 | + | 0.936431i | \(0.614108\pi\) | |||||||
\(380\) | 559.213 | + | 19.7936i | 1.47161 | + | 0.0520884i | ||||
\(381\) | 82.9899 | + | 68.1081i | 0.217821 | + | 0.178761i | ||||
\(382\) | −46.8636 | − | 119.053i | −0.122680 | − | 0.311657i | ||||
\(383\) | − | 5.91781i | − | 0.0154512i | −0.999970 | − | 0.00772561i | \(-0.997541\pi\) | ||
0.999970 | − | 0.00772561i | \(-0.00245916\pi\) | |||||||
\(384\) | −79.5592 | − | 206.936i | −0.207185 | − | 0.538895i | ||||
\(385\) | −124.330 | −0.322935 | ||||||||
\(386\) | 282.262 | − | 111.109i | 0.731248 | − | 0.287846i | ||||
\(387\) | 62.2865 | − | 75.8964i | 0.160947 | − | 0.196115i | ||||
\(388\) | −178.019 | − | 6.30107i | −0.458812 | − | 0.0162399i | ||||
\(389\) | −79.7046 | − | 262.751i | −0.204896 | − | 0.675452i | −0.997812 | − | 0.0661202i | \(-0.978938\pi\) |
0.792916 | − | 0.609331i | \(-0.208562\pi\) | |||||||
\(390\) | −42.5949 | + | 131.966i | −0.109218 | + | 0.338375i | ||||
\(391\) | −10.1220 | + | 50.8866i | −0.0258874 | + | 0.130145i | ||||
\(392\) | −238.431 | − | 265.184i | −0.608243 | − | 0.676489i | ||||
\(393\) | −36.9642 | − | 185.832i | −0.0940565 | − | 0.472854i | ||||
\(394\) | −147.827 | − | 186.769i | −0.375195 | − | 0.474034i | ||||
\(395\) | −808.905 | − | 79.6702i | −2.04786 | − | 0.201697i | ||||
\(396\) | 86.0918 | + | 75.9059i | 0.217404 | + | 0.191682i | ||||
\(397\) | 581.987 | + | 176.544i | 1.46596 | + | 0.444695i | 0.919601 | − | 0.392854i | \(-0.128512\pi\) |
0.546362 | + | 0.837549i | \(0.316012\pi\) | |||||||
\(398\) | 69.4546 | + | 384.610i | 0.174509 | + | 0.966356i | ||||
\(399\) | 76.1776 | + | 31.5538i | 0.190921 | + | 0.0790822i | ||||
\(400\) | 104.614 | + | 183.440i | 0.261535 | + | 0.458600i | ||||
\(401\) | −120.551 | − | 291.037i | −0.300627 | − | 0.725777i | −0.999940 | − | 0.0109619i | \(-0.996511\pi\) |
0.699313 | − | 0.714816i | \(-0.253489\pi\) | |||||||
\(402\) | −240.936 | − | 374.772i | −0.599342 | − | 0.932267i | ||||
\(403\) | 246.054 | − | 131.519i | 0.610557 | − | 0.326350i | ||||
\(404\) | 130.244 | + | 491.293i | 0.322387 | + | 1.21607i | ||||
\(405\) | 35.2877 | + | 42.9982i | 0.0871301 | + | 0.106168i | ||||
\(406\) | 20.3049 | − | 5.76921i | 0.0500120 | − | 0.0142099i | ||||
\(407\) | −197.780 | − | 132.152i | −0.485945 | − | 0.324698i | ||||
\(408\) | 137.616 | + | 125.730i | 0.337293 | + | 0.308161i | ||||
\(409\) | 42.7801 | − | 28.5847i | 0.104597 | − | 0.0698893i | −0.502172 | − | 0.864768i | \(-0.667465\pi\) |
0.606769 | + | 0.794879i | \(0.292465\pi\) | |||||||
\(410\) | −307.762 | + | 24.8237i | −0.750638 | + | 0.0605455i | ||||
\(411\) | 40.7640 | + | 21.7888i | 0.0991824 | + | 0.0530141i | ||||
\(412\) | 70.2846 | + | 16.5850i | 0.170594 | + | 0.0402549i | ||||
\(413\) | −89.2720 | + | 8.79253i | −0.216155 | + | 0.0212894i | ||||
\(414\) | 23.1372 | + | 0.409348i | 0.0558870 | + | 0.000988764i | ||||
\(415\) | −293.047 | + | 293.047i | −0.706138 | + | 0.706138i | ||||
\(416\) | 207.252 | − | 2.01519i | 0.498203 | − | 0.00484420i | ||||
\(417\) | −109.638 | + | 109.638i | −0.262920 | + | 0.262920i | ||||
\(418\) | 300.698 | + | 311.530i | 0.719374 | + | 0.745287i | ||||
\(419\) | 650.353 | − | 64.0541i | 1.55215 | − | 0.152874i | 0.714719 | − | 0.699411i | \(-0.246554\pi\) |
0.837435 | + | 0.546537i | \(0.184054\pi\) | |||||||
\(420\) | 14.4342 | + | 88.8948i | 0.0343671 | + | 0.211654i | ||||
\(421\) | −692.783 | − | 370.300i | −1.64557 | − | 0.879573i | −0.992496 | − | 0.122275i | \(-0.960981\pi\) |
−0.653069 | − | 0.757298i | \(-0.726519\pi\) | |||||||
\(422\) | −38.0267 | + | 44.6992i | −0.0901106 | + | 0.105922i | ||||
\(423\) | −186.541 | + | 124.643i | −0.440995 | + | 0.294663i | ||||
\(424\) | −296.793 | − | 179.502i | −0.699984 | − | 0.423354i | ||||
\(425\) | −147.628 | − | 98.6417i | −0.347359 | − | 0.232098i | ||||
\(426\) | 145.649 | + | 81.1959i | 0.341900 | + | 0.190601i | ||||
\(427\) | 54.2172 | + | 66.0638i | 0.126972 | + | 0.154716i | ||||
\(428\) | 17.7779 | − | 132.320i | 0.0415372 | − | 0.309159i | ||||
\(429\) | −94.6303 | + | 50.5809i | −0.220583 | + | 0.117904i | ||||
\(430\) | 395.314 | + | 85.9291i | 0.919334 | + | 0.199835i | ||||
\(431\) | 177.832 | + | 429.325i | 0.412604 | + | 0.996115i | 0.984436 | + | 0.175744i | \(0.0562330\pi\) |
−0.571832 | + | 0.820371i | \(0.693767\pi\) | |||||||
\(432\) | 44.2771 | − | 70.3672i | 0.102493 | − | 0.162887i | ||||
\(433\) | −415.141 | − | 171.957i | −0.958754 | − | 0.397129i | −0.152240 | − | 0.988344i | \(-0.548649\pi\) |
−0.806514 | + | 0.591215i | \(0.798649\pi\) | |||||||
\(434\) | 103.316 | − | 148.854i | 0.238055 | − | 0.342981i | ||||
\(435\) | 51.4058 | + | 15.5938i | 0.118174 | + | 0.0358477i | ||||
\(436\) | −777.138 | − | 266.107i | −1.78243 | − | 0.610336i | ||||
\(437\) | 86.8758 | + | 8.55652i | 0.198800 | + | 0.0195801i | ||||
\(438\) | −44.7931 | − | 5.21330i | −0.102267 | − | 0.0119025i | ||||
\(439\) | −75.2068 | − | 378.090i | −0.171314 | − | 0.861253i | −0.966850 | − | 0.255347i | \(-0.917810\pi\) |
0.795536 | − | 0.605907i | \(-0.207190\pi\) | |||||||
\(440\) | −116.735 | + | 458.280i | −0.265307 | + | 1.04154i | ||||
\(441\) | 26.0893 | − | 131.160i | 0.0591594 | − | 0.297415i | ||||
\(442\) | −155.114 | + | 79.4150i | −0.350937 | + | 0.179672i | ||||
\(443\) | 90.2214 | + | 297.420i | 0.203660 | + | 0.671377i | 0.997959 | + | 0.0638507i | \(0.0203381\pi\) |
−0.794299 | + | 0.607526i | \(0.792162\pi\) | |||||||
\(444\) | −71.5262 | + | 156.753i | −0.161095 | + | 0.353047i | ||||
\(445\) | −131.680 | + | 160.453i | −0.295911 | + | 0.360568i | ||||
\(446\) | −240.475 | + | 552.696i | −0.539181 | + | 1.23923i | ||||
\(447\) | −338.320 | −0.756867 | ||||||||
\(448\) | 119.214 | − | 62.5050i | 0.266102 | − | 0.139520i | ||||
\(449\) | 296.652i | 0.660695i | 0.943859 | + | 0.330347i | \(0.107166\pi\) | ||||
−0.943859 | + | 0.330347i | \(0.892834\pi\) | |||||||
\(450\) | −31.5942 | + | 72.6146i | −0.0702093 | + | 0.161366i | ||||
\(451\) | −184.682 | − | 151.565i | −0.409495 | − | 0.336064i | ||||
\(452\) | −91.9457 | − | 246.276i | −0.203420 | − | 0.544858i | ||||
\(453\) | 378.762 | − | 114.896i | 0.836120 | − | 0.253634i | ||||
\(454\) | 196.413 | − | 100.559i | 0.432629 | − | 0.221496i | ||||
\(455\) | −82.5755 | − | 16.4253i | −0.181485 | − | 0.0360995i | ||||
\(456\) | 187.831 | − | 251.164i | 0.411910 | − | 0.550797i | ||||
\(457\) | −577.018 | + | 114.776i | −1.26262 | + | 0.251151i | −0.780613 | − | 0.625015i | \(-0.785093\pi\) |
−0.482009 | + | 0.876166i | \(0.660093\pi\) | |||||||
\(458\) | −428.644 | − | 49.8883i | −0.935904 | − | 0.108927i | ||||
\(459\) | −6.85150 | + | 69.5645i | −0.0149270 | + | 0.151557i | ||||
\(460\) | 41.9440 | + | 85.6265i | 0.0911825 | + | 0.186145i | ||||
\(461\) | 173.646 | − | 572.435i | 0.376673 | − | 1.24172i | −0.539857 | − | 0.841757i | \(-0.681522\pi\) |
0.916530 | − | 0.399967i | \(-0.130978\pi\) | |||||||
\(462\) | −39.7343 | + | 57.2477i | −0.0860049 | + | 0.123913i | ||||
\(463\) | −44.7061 | + | 107.930i | −0.0965575 | + | 0.233110i | −0.964777 | − | 0.263071i | \(-0.915265\pi\) |
0.868219 | + | 0.496181i | \(0.165265\pi\) | |||||||
\(464\) | −2.20076 | − | 80.2603i | −0.00474301 | − | 0.172975i | ||||
\(465\) | 426.020 | − | 176.463i | 0.916171 | − | 0.379490i | ||||
\(466\) | −524.345 | − | 113.977i | −1.12520 | − | 0.244585i | ||||
\(467\) | −18.9064 | − | 35.3714i | −0.0404849 | − | 0.0757418i | 0.860865 | − | 0.508833i | \(-0.169923\pi\) |
−0.901350 | + | 0.433091i | \(0.857423\pi\) | |||||||
\(468\) | 47.1511 | + | 61.7875i | 0.100750 | + | 0.132025i | ||||
\(469\) | 209.105 | − | 171.608i | 0.445852 | − | 0.365901i | ||||
\(470\) | −807.409 | − | 450.111i | −1.71789 | − | 0.957682i | ||||
\(471\) | 104.428 | − | 156.288i | 0.221716 | − | 0.331821i | ||||
\(472\) | −51.4095 | + | 337.311i | −0.108918 | + | 0.714643i | ||||
\(473\) | 173.909 | + | 260.274i | 0.367673 | + | 0.550261i | ||||
\(474\) | −295.200 | + | 346.998i | −0.622784 | + | 0.732064i | ||||
\(475\) | −140.823 | + | 263.461i | −0.296469 | + | 0.554655i | ||||
\(476\) | −66.1653 | + | 91.8176i | −0.139003 | + | 0.192894i | ||||
\(477\) | −12.7491 | − | 129.444i | −0.0267276 | − | 0.271370i | ||||
\(478\) | 260.519 | + | 269.903i | 0.545018 | + | 0.564650i | ||||
\(479\) | 224.838 | + | 224.838i | 0.469390 | + | 0.469390i | 0.901717 | − | 0.432327i | \(-0.142307\pi\) |
−0.432327 | + | 0.901717i | \(0.642307\pi\) | |||||||
\(480\) | 341.218 | + | 30.2603i | 0.710871 | + | 0.0630422i | ||||
\(481\) | −113.899 | − | 113.899i | −0.236797 | − | 0.236797i | ||||
\(482\) | −721.561 | − | 12.7660i | −1.49701 | − | 0.0264855i | ||||
\(483\) | 1.37713 | + | 13.9822i | 0.00285120 | + | 0.0289487i | ||||
\(484\) | 100.430 | − | 62.0821i | 0.207500 | − | 0.128269i | ||||
\(485\) | 129.744 | − | 242.734i | 0.267513 | − | 0.500482i | ||||
\(486\) | 31.0760 | − | 2.50655i | 0.0639424 | − | 0.00515751i | ||||
\(487\) | 84.8125 | + | 126.931i | 0.174153 | + | 0.260638i | 0.908270 | − | 0.418385i | \(-0.137404\pi\) |
−0.734117 | + | 0.679023i | \(0.762404\pi\) | |||||||
\(488\) | 294.416 | − | 137.816i | 0.603311 | − | 0.282409i | ||||
\(489\) | 127.275 | − | 190.481i | 0.260277 | − | 0.389531i | ||||
\(490\) | 530.029 | − | 150.597i | 1.08169 | − | 0.307341i | ||||
\(491\) | −563.701 | + | 462.617i | −1.14807 | + | 0.942194i | −0.998913 | − | 0.0466203i | \(-0.985155\pi\) |
−0.149154 | + | 0.988814i | \(0.547655\pi\) | |||||||
\(492\) | −86.9266 | + | 149.642i | −0.176680 | + | 0.304151i | ||||
\(493\) | 31.8224 | + | 59.5355i | 0.0645484 | + | 0.120762i | ||||
\(494\) | 158.556 | + | 246.632i | 0.320964 | + | 0.499255i | ||||
\(495\) | −163.843 | + | 67.8661i | −0.330996 | + | 0.137103i | ||||
\(496\) | −451.669 | − | 520.581i | −0.910622 | − | 1.04956i | ||||
\(497\) | −38.7442 | + | 93.5367i | −0.0779561 | + | 0.188203i | ||||
\(498\) | 41.2794 | + | 228.587i | 0.0828903 | + | 0.459011i | ||||
\(499\) | 110.997 | − | 365.908i | 0.222439 | − | 0.733283i | −0.772697 | − | 0.634775i | \(-0.781093\pi\) |
0.995136 | − | 0.0985081i | \(-0.0314070\pi\) | |||||||
\(500\) | 291.184 | − | 18.3087i | 0.582369 | − | 0.0366174i | ||||
\(501\) | −10.2537 | + | 104.108i | −0.0204665 | + | 0.207800i | ||||
\(502\) | −367.302 | − | 464.061i | −0.731677 | − | 0.924425i | ||||
\(503\) | 391.796 | − | 77.9331i | 0.778918 | − | 0.154937i | 0.210409 | − | 0.977613i | \(-0.432520\pi\) |
0.568509 | + | 0.822677i | \(0.307520\pi\) | |||||||
\(504\) | 45.5446 | + | 21.7634i | 0.0903662 | + | 0.0431814i | ||||
\(505\) | −770.240 | − | 153.210i | −1.52523 | − | 0.303387i | ||||
\(506\) | −22.6622 | + | 70.2114i | −0.0447870 | + | 0.138758i | ||||
\(507\) | 210.580 | − | 63.8788i | 0.415345 | − | 0.125994i | ||||
\(508\) | 169.006 | + | 181.409i | 0.332689 | + | 0.357104i | ||||
\(509\) | −583.969 | − | 479.251i | −1.14729 | − | 0.941553i | −0.148409 | − | 0.988926i | \(-0.547415\pi\) |
−0.998877 | + | 0.0473728i | \(0.984915\pi\) | |||||||
\(510\) | −267.999 | + | 105.494i | −0.525488 | + | 0.206851i | ||||
\(511\) | − | 27.3795i | − | 0.0535803i | ||||||
\(512\) | −118.462 | − | 498.107i | −0.231370 | − | 0.972866i | ||||
\(513\) | 117.611 | 0.229262 | ||||||||
\(514\) | −244.654 | − | 621.523i | −0.475981 | − | 1.20919i | ||||
\(515\) | −70.7860 | + | 86.2530i | −0.137449 | + | 0.167482i | ||||
\(516\) | 165.903 | − | 154.560i | 0.321518 | − | 0.299535i | ||||
\(517\) | −207.635 | − | 684.479i | −0.401614 | − | 1.32394i | ||||
\(518\) | −99.5543 | − | 32.1333i | −0.192190 | − | 0.0620333i | ||||
\(519\) | 89.8473 | − | 451.693i | 0.173116 | − | 0.870314i | ||||
\(520\) | −138.075 | + | 288.950i | −0.265528 | + | 0.555674i | ||||
\(521\) | −47.2217 | − | 237.400i | −0.0906367 | − | 0.455661i | −0.999275 | − | 0.0380769i | \(-0.987877\pi\) |
0.908638 | − | 0.417584i | \(-0.137123\pi\) | |||||||
\(522\) | 23.6088 | − | 18.6862i | 0.0452275 | − | 0.0357973i | ||||
\(523\) | −451.337 | − | 44.4528i | −0.862977 | − | 0.0849959i | −0.343164 | − | 0.939276i | \(-0.611499\pi\) |
−0.519814 | + | 0.854280i | \(0.673999\pi\) | |||||||
\(524\) | −27.4586 | − | 436.705i | −0.0524019 | − | 0.833407i | ||||
\(525\) | −46.0097 | − | 13.9569i | −0.0876376 | − | 0.0265846i | ||||
\(526\) | −163.695 | + | 29.5609i | −0.311208 | + | 0.0561994i | ||||
\(527\) | 535.363 | + | 221.755i | 1.01587 | + | 0.420787i | ||||
\(528\) | 173.708 | + | 200.211i | 0.328992 | + | 0.379187i | ||||
\(529\) | −196.747 | − | 474.990i | −0.371923 | − | 0.897901i | ||||
\(530\) | 450.807 | − | 289.818i | 0.850579 | − | 0.546826i | ||||
\(531\) | −112.844 | + | 60.3163i | −0.212512 | + | 0.113590i | ||||
\(532\) | 164.655 | + | 95.6473i | 0.309501 | + | 0.179788i | ||||
\(533\) | −102.636 | − | 125.062i | −0.192563 | − | 0.234638i | ||||
\(534\) | 31.7972 | + | 111.911i | 0.0595453 | + | 0.209571i | ||||
\(535\) | 171.522 | + | 114.607i | 0.320602 | + | 0.214219i | ||||
\(536\) | −436.213 | − | 931.882i | −0.813831 | − | 1.73859i | ||||
\(537\) | −89.6995 | + | 59.9353i | −0.167038 | + | 0.111611i | ||||
\(538\) | 45.1851 | + | 560.201i | 0.0839871 | + | 1.04127i | ||||
\(539\) | 376.015 | + | 200.984i | 0.697616 | + | 0.372883i | ||||
\(540\) | 67.5451 | + | 109.267i | 0.125083 | + | 0.202347i | ||||
\(541\) | 16.3930 | − | 1.61457i | 0.0303012 | − | 0.00298441i | −0.0828552 | − | 0.996562i | \(-0.526404\pi\) |
0.113156 | + | 0.993577i | \(0.463904\pi\) | |||||||
\(542\) | −12.7586 | + | 721.142i | −0.0235398 | + | 1.33052i | ||||
\(543\) | −48.7619 | + | 48.7619i | −0.0898010 | + | 0.0898010i | ||||
\(544\) | 276.315 | + | 330.094i | 0.507933 | + | 0.606790i | ||||
\(545\) | 897.471 | − | 897.471i | 1.64674 | − | 1.64674i | ||||
\(546\) | −33.9531 | + | 32.7725i | −0.0621851 | + | 0.0600230i | ||||
\(547\) | 591.269 | − | 58.2349i | 1.08093 | − | 0.106462i | 0.458162 | − | 0.888869i | \(-0.348508\pi\) |
0.622768 | + | 0.782406i | \(0.286008\pi\) | |||||||
\(548\) | 86.6016 | + | 62.4066i | 0.158032 | + | 0.113881i | ||||
\(549\) | 107.509 | + | 57.4648i | 0.195827 | + | 0.104672i | ||||
\(550\) | −192.302 | − | 163.596i | −0.349641 | − | 0.297447i | ||||
\(551\) | 94.4403 | − | 63.1030i | 0.171398 | − | 0.114524i | ||||
\(552\) | 52.8314 | + | 8.05202i | 0.0957091 | + | 0.0145870i | ||||
\(553\) | −229.986 | − | 153.672i | −0.415889 | − | 0.277888i | ||||
\(554\) | −150.233 | + | 269.487i | −0.271178 | + | 0.486439i | ||||
\(555\) | −168.891 | − | 205.795i | −0.304309 | − | 0.370801i | ||||
\(556\) | −284.658 | + | 217.227i | −0.511975 | + | 0.390696i | ||||
\(557\) | −322.522 | + | 172.392i | −0.579034 | + | 0.309500i | −0.734789 | − | 0.678296i | \(-0.762719\pi\) |
0.155755 | + | 0.987796i | \(0.450219\pi\) | |||||||
\(558\) | 54.8979 | − | 252.556i | 0.0983834 | − | 0.452609i | ||||
\(559\) | 81.1193 | + | 195.839i | 0.145115 | + | 0.350339i | ||||
\(560\) | 5.70079 | + | 207.904i | 0.0101800 | + | 0.371258i | ||||
\(561\) | −205.896 | − | 85.2848i | −0.367015 | − | 0.152023i | ||||
\(562\) | −381.508 | − | 264.796i | −0.678840 | − | 0.471166i | ||||
\(563\) | 30.7507 | + | 9.32812i | 0.0546193 | + | 0.0165686i | 0.317476 | − | 0.948266i | \(-0.397165\pi\) |
−0.262857 | + | 0.964835i | \(0.584665\pi\) | |||||||
\(564\) | −465.291 | + | 227.922i | −0.824984 | + | 0.404117i | ||||
\(565\) | 404.225 | + | 39.8127i | 0.715442 | + | 0.0704649i | ||||
\(566\) | −109.802 | + | 943.427i | −0.193997 | + | 1.66683i | ||||
\(567\) | 3.69286 | + | 18.5653i | 0.00651298 | + | 0.0327430i | ||||
\(568\) | 308.398 | + | 230.634i | 0.542954 | + | 0.406045i | ||||
\(569\) | −215.309 | + | 1082.43i | −0.378399 | + | 1.90234i | 0.0499956 | + | 0.998749i | \(0.484079\pi\) |
−0.428395 | + | 0.903592i | \(0.640921\pi\) | |||||||
\(570\) | 220.841 | + | 431.350i | 0.387441 | + | 0.756754i | ||||
\(571\) | 295.215 | + | 973.195i | 0.517015 | + | 1.70437i | 0.693842 | + | 0.720127i | \(0.255916\pi\) |
−0.176828 | + | 0.984242i | \(0.556584\pi\) | |||||||
\(572\) | −232.148 | + | 86.6710i | −0.405853 | + | 0.151523i | ||||
\(573\) | 70.2928 | − | 85.6520i | 0.122675 | − | 0.149480i | ||||
\(574\) | −96.3469 | − | 41.9200i | −0.167852 | − | 0.0730314i | ||||
\(575\) | −50.9035 | −0.0885279 | ||||||||
\(576\) | 122.982 | − | 147.443i | 0.213511 | − | 0.255977i | ||||
\(577\) | 605.035i | 1.04859i | 0.851538 | + | 0.524294i | \(0.175671\pi\) | ||||
−0.851538 | + | 0.524294i | \(0.824329\pi\) | |||||||
\(578\) | 198.122 | + | 86.2017i | 0.342771 | + | 0.149138i | ||||
\(579\) | 203.072 | + | 166.657i | 0.350728 | + | 0.287835i | ||||
\(580\) | 112.864 | + | 51.4997i | 0.194593 | + | 0.0887926i | ||||
\(581\) | −134.958 | + | 40.9391i | −0.232286 | + | 0.0704632i | ||||
\(582\) | −70.3022 | − | 137.315i | −0.120794 | − | 0.235937i | ||||
\(583\) | 406.723 | + | 80.9023i | 0.697638 | + | 0.138769i | ||||
\(584\) | −100.921 | − | 25.7070i | −0.172810 | − | 0.0440189i | ||||
\(585\) | −117.784 | + | 23.4288i | −0.201341 | + | 0.0400492i | ||||
\(586\) | −92.9106 | + | 798.294i | −0.158550 | + | 1.36228i | ||||
\(587\) | 22.6391 | − | 229.858i | 0.0385674 | − | 0.391582i | −0.956451 | − | 0.291892i | \(-0.905715\pi\) |
0.995019 | − | 0.0996893i | \(-0.0317849\pi\) | |||||||
\(588\) | 100.048 | − | 292.180i | 0.170150 | − | 0.496905i | ||||
\(589\) | 283.023 | − | 933.003i | 0.480515 | − | 1.58405i | ||||
\(590\) | −433.105 | − | 300.608i | −0.734077 | − | 0.509505i | ||||
\(591\) | 78.9402 | − | 190.578i | 0.133570 | − | 0.322468i | ||||
\(592\) | −211.916 | + | 336.786i | −0.357966 | + | 0.568895i | ||||
\(593\) | 918.531 | − | 380.468i | 1.54896 | − | 0.641599i | 0.565830 | − | 0.824522i | \(-0.308556\pi\) |
0.983127 | + | 0.182923i | \(0.0585560\pi\) | |||||||
\(594\) | −21.1132 | + | 97.1306i | −0.0355442 | + | 0.163520i | ||||
\(595\) | −82.4319 | − | 154.219i | −0.138541 | − | 0.259192i | ||||
\(596\) | −774.358 | − | 104.039i | −1.29926 | − | 0.174562i | ||||
\(597\) | −261.640 | + | 214.723i | −0.438259 | + | 0.359670i | ||||
\(598\) | −24.3270 | + | 43.6379i | −0.0406807 | + | 0.0729731i | ||||
\(599\) | 279.293 | − | 417.991i | 0.466265 | − | 0.697815i | −0.521589 | − | 0.853197i | \(-0.674661\pi\) |
0.987855 | + | 0.155381i | \(0.0496607\pi\) | |||||||
\(600\) | −94.6442 | + | 156.487i | −0.157740 | + | 0.260812i | ||||
\(601\) | −490.297 | − | 733.781i | −0.815802 | − | 1.22093i | −0.972411 | − | 0.233273i | \(-0.925056\pi\) |
0.156610 | − | 0.987661i | \(-0.449944\pi\) | |||||||
\(602\) | 104.856 | + | 89.2036i | 0.174180 | + | 0.148179i | ||||
\(603\) | 181.887 | − | 340.286i | 0.301637 | − | 0.564322i | ||||
\(604\) | 902.257 | − | 146.503i | 1.49380 | − | 0.242554i | ||||
\(605\) | 17.8814 | + | 181.553i | 0.0295560 | + | 0.300087i | ||||
\(606\) | −316.704 | + | 305.693i | −0.522614 | + | 0.504443i | ||||
\(607\) | 388.096 | + | 388.096i | 0.639368 | + | 0.639368i | 0.950399 | − | 0.311032i | \(-0.100675\pi\) |
−0.311032 | + | 0.950399i | \(0.600675\pi\) | |||||||
\(608\) | 507.152 | − | 517.111i | 0.834131 | − | 0.850511i | ||||
\(609\) | 12.9263 | + | 12.9263i | 0.0212254 | + | 0.0212254i | ||||
\(610\) | −8.88505 | + | 502.202i | −0.0145657 | + | 0.823281i | ||||
\(611\) | −47.4765 | − | 482.037i | −0.0777029 | − | 0.788931i | ||||
\(612\) | −37.0742 | + | 157.115i | −0.0605788 | + | 0.256723i | ||||
\(613\) | −280.264 | + | 524.337i | −0.457201 | + | 0.855362i | 0.542680 | + | 0.839939i | \(0.317409\pi\) |
−0.999881 | + | 0.0154230i | \(0.995091\pi\) | |||||||
\(614\) | 95.5924 | + | 1185.15i | 0.155688 | + | 1.93021i | ||||
\(615\) | −148.557 | − | 222.331i | −0.241556 | − | 0.361514i | ||||
\(616\) | −108.550 | + | 118.812i | −0.176217 | + | 0.192876i | ||||
\(617\) | 434.803 | − | 650.729i | 0.704706 | − | 1.05467i | −0.290501 | − | 0.956875i | \(-0.593822\pi\) |
0.995207 | − | 0.0977920i | \(-0.0311780\pi\) | |||||||
\(618\) | 17.0929 | + | 60.1588i | 0.0276584 | + | 0.0973443i | ||||
\(619\) | 275.569 | − | 226.153i | 0.445184 | − | 0.365353i | −0.384931 | − | 0.922945i | \(-0.625775\pi\) |
0.830115 | + | 0.557592i | \(0.188275\pi\) | |||||||
\(620\) | 1029.35 | − | 272.887i | 1.66025 | − | 0.440140i | ||||
\(621\) | 9.44706 | + | 17.6742i | 0.0152127 | + | 0.0284609i | ||||
\(622\) | 461.750 | − | 296.853i | 0.742363 | − | 0.477255i | ||||
\(623\) | −65.2589 | + | 27.0311i | −0.104749 | + | 0.0433886i | ||||
\(624\) | 88.9203 | + | 155.921i | 0.142500 | + | 0.249874i | ||||
\(625\) | −298.785 | + | 721.330i | −0.478056 | + | 1.15413i | ||||
\(626\) | 279.310 | − | 50.4391i | 0.446182 | − | 0.0805736i | ||||
\(627\) | −108.848 | + | 358.824i | −0.173602 | + | 0.572287i | ||||
\(628\) | 287.080 | − | 325.603i | 0.457134 | − | 0.518477i | ||||
\(629\) | 32.7921 | − | 332.944i | 0.0521338 | − | 0.529323i | ||||
\(630\) | −61.1556 | + | 48.4043i | −0.0970723 | + | 0.0768322i | ||||
\(631\) | −546.705 | + | 108.746i | −0.866410 | + | 0.172340i | −0.608234 | − | 0.793758i | \(-0.708122\pi\) |
−0.258176 | + | 0.966098i | \(0.583122\pi\) | |||||||
\(632\) | −782.371 | + | 703.443i | −1.23793 | + | 1.11304i | ||||
\(633\) | −49.8470 | − | 9.91518i | −0.0787472 | − | 0.0156638i | ||||
\(634\) | −160.474 | − | 51.7965i | −0.253114 | − | 0.0816980i | ||||
\(635\) | −366.595 | + | 111.205i | −0.577315 | + | 0.175127i | ||||
\(636\) | 10.6256 | − | 300.196i | 0.0167069 | − | 0.472006i | ||||
\(637\) | 223.183 | + | 183.162i | 0.350366 | + | 0.287538i | ||||
\(638\) | 35.1607 | + | 89.3227i | 0.0551108 | + | 0.140004i | ||||
\(639\) | 144.412i | 0.225997i | ||||||||
\(640\) | 771.686 | + | 174.191i | 1.20576 | + | 0.272174i | ||||
\(641\) | 1228.19 | 1.91605 | 0.958026 | − | 0.286681i | \(-0.0925518\pi\) | ||||
0.958026 | + | 0.286681i | \(0.0925518\pi\) | |||||||
\(642\) | 107.587 | − | 42.3502i | 0.167581 | − | 0.0659661i | ||||
\(643\) | 674.019 | − | 821.295i | 1.04824 | − | 1.27729i | 0.0885974 | − | 0.996068i | \(-0.471762\pi\) |
0.959644 | − | 0.281218i | \(-0.0907384\pi\) | |||||||
\(644\) | −1.14775 | + | 32.4265i | −0.00178222 | + | 0.0503518i | ||||
\(645\) | 101.700 | + | 335.260i | 0.157675 | + | 0.519784i | ||||
\(646\) | −187.057 | + | 579.533i | −0.289561 | + | 0.897111i | ||||
\(647\) | −177.389 | + | 891.796i | −0.274172 | + | 1.37836i | 0.560749 | + | 0.827986i | \(0.310513\pi\) |
−0.834921 | + | 0.550370i | \(0.814487\pi\) | |||||||
\(648\) | 71.8986 | + | 3.81932i | 0.110955 | + | 0.00589401i | ||||
\(649\) | −79.5852 | − | 400.102i | −0.122627 | − | 0.616490i | ||||
\(650\) | −106.107 | − | 134.060i | −0.163242 | − | 0.206246i | ||||
\(651\) | 156.164 | + | 15.3808i | 0.239883 | + | 0.0236264i | ||||
\(652\) | 349.888 | − | 396.840i | 0.536638 | − | 0.608650i | ||||
\(653\) | 715.553 | + | 217.061i | 1.09579 | + | 0.332405i | 0.785892 | − | 0.618364i | \(-0.212204\pi\) |
0.309901 | + | 0.950769i | \(0.399704\pi\) | |||||||
\(654\) | −126.420 | − | 700.061i | −0.193303 | − | 1.07043i | ||||
\(655\) | 624.630 | + | 258.730i | 0.953634 | + | 0.395008i | ||||
\(656\) | −244.978 | + | 315.775i | −0.373442 | + | 0.481364i | ||||
\(657\) | −14.9452 | − | 36.0810i | −0.0227477 | − | 0.0549178i | ||||
\(658\) | −170.113 | − | 264.608i | −0.258530 | − | 0.402140i | ||||
\(659\) | −998.841 | + | 533.892i | −1.51569 | + | 0.810154i | −0.998942 | − | 0.0459824i | \(-0.985358\pi\) |
−0.516750 | + | 0.856137i | \(0.672858\pi\) | |||||||
\(660\) | −395.880 | + | 104.950i | −0.599818 | + | 0.159015i | ||||
\(661\) | −196.235 | − | 239.113i | −0.296875 | − | 0.361744i | 0.603114 | − | 0.797655i | \(-0.293926\pi\) |
−0.899990 | + | 0.435911i | \(0.856426\pi\) | |||||||
\(662\) | 708.440 | − | 201.289i | 1.07015 | − | 0.304062i | ||||
\(663\) | −125.481 | − | 83.8439i | −0.189263 | − | 0.126461i | ||||
\(664\) | 24.1872 | + | 535.893i | 0.0364265 | + | 0.807068i | ||||
\(665\) | −244.636 | + | 163.460i | −0.367873 | + | 0.245805i | ||||
\(666\) | −148.734 | + | 11.9966i | −0.223324 | + | 0.0180130i | ||||
\(667\) | 17.0688 | + | 9.12344i | 0.0255903 | + | 0.0136783i | ||||
\(668\) | −55.4840 | + | 235.132i | −0.0830599 | + | 0.351995i | ||||
\(669\) | −519.478 | + | 51.1642i | −0.776500 | + | 0.0764786i | ||||
\(670\) | 1589.56 | + | 28.1229i | 2.37248 | + | 0.0419744i | ||||
\(671\) | −274.820 | + | 274.820i | −0.409568 | + | 0.409568i | ||||
\(672\) | 97.5514 | + | 63.8186i | 0.145166 | + | 0.0949681i | ||||
\(673\) | 674.938 | − | 674.938i | 1.00288 | − | 1.00288i | 0.00288393 | − | 0.999996i | \(-0.499082\pi\) |
0.999996 | − | 0.00288393i | \(-0.000917985\pi\) | |||||||
\(674\) | −503.293 | − | 521.423i | −0.746726 | − | 0.773625i | ||||
\(675\) | −68.2504 | + | 6.72208i | −0.101112 | + | 0.00995864i | ||||
\(676\) | 501.627 | − | 81.4510i | 0.742052 | − | 0.120490i | ||||
\(677\) | −295.202 | − | 157.789i | −0.436044 | − | 0.233070i | 0.238743 | − | 0.971083i | \(-0.423265\pi\) |
−0.674787 | + | 0.738012i | \(0.735765\pi\) | |||||||
\(678\) | 147.517 | − | 173.402i | 0.217576 | − | 0.255755i | ||||
\(679\) | 77.8770 | − | 52.0357i | 0.114694 | − | 0.0766358i | ||||
\(680\) | −645.847 | + | 159.045i | −0.949775 | + | 0.233889i | ||||
\(681\) | 158.891 | + | 106.167i | 0.233320 | + | 0.155899i | ||||
\(682\) | 719.724 | + | 401.228i | 1.05531 | + | 0.588311i | ||||
\(683\) | 776.493 | + | 946.159i | 1.13689 | + | 1.38530i | 0.911637 | + | 0.410997i | \(0.134819\pi\) |
0.225249 | + | 0.974301i | \(0.427681\pi\) | |||||||
\(684\) | 269.193 | + | 36.1675i | 0.393557 | + | 0.0528764i | ||||
\(685\) | −145.458 | + | 77.7490i | −0.212348 | + | 0.113502i | ||||
\(686\) | 384.641 | + | 83.6093i | 0.560702 | + | 0.121879i | ||||
\(687\) | −143.017 | − | 345.274i | −0.208177 | − | 0.502583i | ||||
\(688\) | 427.255 | − | 302.745i | 0.621010 | − | 0.440036i | ||||
\(689\) | 259.443 | + | 107.465i | 0.376550 | + | 0.155972i | ||||
\(690\) | −47.0827 | + | 67.8352i | −0.0682359 | + | 0.0983118i | ||||
\(691\) | 639.709 | + | 194.054i | 0.925772 | + | 0.280830i | 0.716951 | − | 0.697124i | \(-0.245537\pi\) |
0.208822 | + | 0.977954i | \(0.433037\pi\) | |||||||
\(692\) | 344.549 | − | 1006.22i | 0.497903 | − | 1.45408i | ||||
\(693\) | −60.0591 | − | 5.91531i | −0.0866654 | − | 0.00853579i | ||||
\(694\) | −648.140 | − | 75.4347i | −0.933919 | − | 0.108695i | ||||
\(695\) | −107.937 | − | 542.638i | −0.155306 | − | 0.780775i | ||||
\(696\) | 59.7829 | − | 35.5095i | 0.0858950 | − | 0.0510195i | ||||
\(697\) | 65.5553 | − | 329.569i | 0.0940536 | − | 0.472839i | ||||
\(698\) | 195.301 | − | 99.9898i | 0.279801 | − | 0.143252i | ||||
\(699\) | −134.895 | − | 444.690i | −0.192983 | − | 0.636180i | ||||
\(700\) | −101.017 | − | 46.0938i | −0.144310 | − | 0.0658483i | ||||
\(701\) | −419.939 | + | 511.698i | −0.599058 | + | 0.729954i | −0.980952 | − | 0.194252i | \(-0.937772\pi\) |
0.381894 | + | 0.924206i | \(0.375272\pi\) | |||||||
\(702\) | −26.8546 | + | 61.7213i | −0.0382544 | + | 0.0879221i | ||||
\(703\) | −562.902 | −0.800714 | ||||||||
\(704\) | 336.020 | + | 511.668i | 0.477301 | + | 0.726801i | ||||
\(705\) | − | 800.551i | − | 1.13553i | ||||||
\(706\) | 31.2055 | − | 71.7213i | 0.0442005 | − | 0.101588i | ||||
\(707\) | −206.585 | − | 169.540i | −0.292200 | − | 0.239802i | ||||
\(708\) | −276.830 | + | 103.353i | −0.391002 | + | 0.145978i | ||||
\(709\) | 485.733 | − | 147.346i | 0.685096 | − | 0.207822i | 0.0714988 | − | 0.997441i | \(-0.477222\pi\) |
0.613597 | + | 0.789619i | \(0.289722\pi\) | |||||||
\(710\) | −529.644 | + | 271.166i | −0.745978 | + | 0.381924i | ||||
\(711\) | −386.960 | − | 76.9712i | −0.544248 | − | 0.108258i | ||||
\(712\) | 38.3640 | + | 265.924i | 0.0538820 | + | 0.373488i | ||||
\(713\) | 162.942 | − | 32.4112i | 0.228530 | − | 0.0454575i | ||||
\(714\) | −97.3543 | − | 11.3307i | −0.136351 | − | 0.0158694i | ||||
\(715\) | 37.5287 | − | 381.036i | 0.0524878 | − | 0.532917i | ||||
\(716\) | −223.738 | + | 109.598i | −0.312484 | + | 0.153070i | ||||
\(717\) | −94.3037 | + | 310.878i | −0.131525 | + | 0.433581i | ||||
\(718\) | 521.996 | − | 752.074i | 0.727014 | − | 1.04746i | ||||
\(719\) | −155.195 | + | 374.675i | −0.215849 | + | 0.521105i | −0.994302 | − | 0.106597i | \(-0.966005\pi\) |
0.778453 | + | 0.627702i | \(0.216005\pi\) | |||||||
\(720\) | 120.998 | + | 270.866i | 0.168053 | + | 0.376203i | ||||
\(721\) | −35.0806 | + | 14.5308i | −0.0486554 | + | 0.0201537i | ||||
\(722\) | 295.717 | + | 64.2798i | 0.409580 | + | 0.0890301i | ||||
\(723\) | −294.617 | − | 551.190i | −0.407493 | − | 0.762365i | ||||
\(724\) | −126.603 | + | 96.6129i | −0.174866 | + | 0.133443i | ||||
\(725\) | −51.1976 | + | 42.0168i | −0.0706173 | + | 0.0579541i | ||||
\(726\) | 89.3106 | + | 49.7884i | 0.123017 | + | 0.0685791i | ||||
\(727\) | 245.974 | − | 368.126i | 0.338341 | − | 0.506363i | −0.622815 | − | 0.782369i | \(-0.714011\pi\) |
0.961156 | + | 0.276006i | \(0.0890110\pi\) | |||||||
\(728\) | −87.7911 | + | 64.5698i | −0.120592 | + | 0.0886948i | ||||
\(729\) | 15.0004 | + | 22.4497i | 0.0205767 | + | 0.0307952i | ||||
\(730\) | 104.267 | − | 122.563i | 0.142832 | − | 0.167895i | ||||
\(731\) | −207.540 | + | 388.281i | −0.283913 | + | 0.531164i | ||||
\(732\) | 228.399 | + | 164.588i | 0.312020 | + | 0.224847i | ||||
\(733\) | 87.3918 | + | 887.303i | 0.119225 | + | 1.21051i | 0.849587 | + | 0.527449i | \(0.176851\pi\) |
−0.730362 | + | 0.683060i | \(0.760649\pi\) | |||||||
\(734\) | −659.396 | − | 683.148i | −0.898360 | − | 0.930720i | ||||
\(735\) | 337.422 | + | 337.422i | 0.459078 | + | 0.459078i | ||||
\(736\) | 118.446 | + | 34.6763i | 0.160932 | + | 0.0471146i | ||||
\(737\) | 869.857 | + | 869.857i | 1.18027 | + | 1.18027i | ||||
\(738\) | −149.849 | − | 2.65116i | −0.203047 | − | 0.00359235i | ||||
\(739\) | −81.4924 | − | 827.406i | −0.110274 | − | 1.11963i | −0.877937 | − | 0.478776i | \(-0.841081\pi\) |
0.767663 | − | 0.640854i | \(-0.221419\pi\) | |||||||
\(740\) | −323.279 | − | 522.967i | −0.436864 | − | 0.706712i | ||||
\(741\) | −119.697 | + | 223.938i | −0.161535 | + | 0.302210i | ||||
\(742\) | 181.787 | − | 14.6627i | 0.244995 | − | 0.0197610i | ||||
\(743\) | −290.143 | − | 434.229i | −0.390502 | − | 0.584427i | 0.583179 | − | 0.812344i | \(-0.301809\pi\) |
−0.973681 | + | 0.227917i | \(0.926809\pi\) | |||||||
\(744\) | 203.318 | − | 561.177i | 0.273276 | − | 0.754270i | ||||
\(745\) | 670.699 | − | 1003.77i | 0.900268 | − | 1.34735i | ||||
\(746\) | 663.640 | − | 188.560i | 0.889598 | − | 0.252761i | ||||
\(747\) | −155.502 | + | 127.617i | −0.208169 | + | 0.170840i | ||||
\(748\) | −445.035 | − | 258.519i | −0.594966 | − | 0.345614i | ||||
\(749\) | 33.0919 | + | 61.9107i | 0.0441815 | + | 0.0826577i | ||||
\(750\) | 136.638 | + | 212.539i | 0.182184 | + | 0.283385i | ||||
\(751\) | −805.661 | + | 333.716i | −1.07278 | + | 0.444362i | −0.847972 | − | 0.530040i | \(-0.822177\pi\) |
−0.224812 | + | 0.974402i | \(0.572177\pi\) | |||||||
\(752\) | −1135.06 | + | 378.591i | −1.50939 | + | 0.503445i | ||||
\(753\) | 196.141 | − | 473.526i | 0.260479 | − | 0.628852i | ||||
\(754\) | 11.5520 | + | 63.9700i | 0.0153209 | + | 0.0848408i | ||||
\(755\) | −409.985 | + | 1351.54i | −0.543026 | + | 1.79012i | ||||
\(756\) | 2.74321 | + | 43.6284i | 0.00362859 | + | 0.0577096i | ||||
\(757\) | 73.5319 | − | 746.581i | 0.0971359 | − | 0.986237i | −0.815855 | − | 0.578257i | \(-0.803733\pi\) |
0.912991 | − | 0.407980i | \(-0.133767\pi\) | |||||||
\(758\) | −571.644 | − | 722.234i | −0.754148 | − | 0.952815i | ||||
\(759\) | −62.6660 | + | 12.4650i | −0.0825639 | + | 0.0164230i | ||||
\(760\) | 372.822 | + | 1055.20i | 0.490555 | + | 1.38842i | ||||
\(761\) | 362.998 | + | 72.2047i | 0.477001 | + | 0.0948814i | 0.427735 | − | 0.903904i | \(-0.359312\pi\) |
0.0492661 | + | 0.998786i | \(0.484312\pi\) | |||||||
\(762\) | −65.9545 | + | 204.338i | −0.0865545 | + | 0.268161i | ||||
\(763\) | 413.316 | − | 125.378i | 0.541699 | − | 0.164323i | ||||
\(764\) | 187.228 | − | 174.427i | 0.245063 | − | 0.228308i | ||||
\(765\) | −192.811 | − | 158.236i | −0.252040 | − | 0.206844i | ||||
\(766\) | 11.0131 | − | 4.33516i | 0.0143774 | − | 0.00565948i | ||||
\(767\) | − | 276.247i | − | 0.360166i | ||||||
\(768\) | 326.827 | − | 299.653i | 0.425556 | − | 0.390174i | ||||
\(769\) | 1070.85 | 1.39253 | 0.696264 | − | 0.717786i | \(-0.254844\pi\) | ||||
0.696264 | + | 0.717786i | \(0.254844\pi\) | |||||||
\(770\) | −91.0794 | − | 231.379i | −0.118285 | − | 0.300493i | ||||
\(771\) | 366.968 | − | 447.152i | 0.475963 | − | 0.579963i | ||||
\(772\) | 413.548 | + | 443.898i | 0.535684 | + | 0.574997i | ||||
\(773\) | 351.401 | + | 1158.41i | 0.454594 | + | 1.49859i | 0.822518 | + | 0.568739i | \(0.192568\pi\) |
−0.367925 | + | 0.929856i | \(0.619932\pi\) | |||||||
\(774\) | 186.873 | + | 60.3171i | 0.241437 | + | 0.0779290i | ||||
\(775\) | −110.914 | + | 557.603i | −0.143115 | + | 0.719487i | ||||
\(776\) | −118.684 | − | 335.911i | −0.152943 | − | 0.432875i | ||||
\(777\) | −17.6745 | − | 88.8556i | −0.0227471 | − | 0.114357i | ||||
\(778\) | 430.593 | − | 340.812i | 0.553461 | − | 0.438062i | ||||
\(779\) | −562.654 | − | 55.4165i | −0.722277 | − | 0.0711380i | ||||
\(780\) | −276.794 | + | 17.4039i | −0.354864 | + | 0.0223127i | ||||
\(781\) | −440.592 | − | 133.652i | −0.564138 | − | 0.171130i | ||||
\(782\) | −102.115 | + | 18.4405i | −0.130582 | + | 0.0235812i | ||||
\(783\) | 24.0902 | + | 9.97851i | 0.0307666 | + | 0.0127439i | ||||
\(784\) | 318.844 | − | 637.986i | 0.406689 | − | 0.813758i | ||||
\(785\) | 256.673 | + | 619.663i | 0.326972 | + | 0.789379i | ||||
\(786\) | 318.756 | − | 204.924i | 0.405542 | − | 0.260717i | ||||
\(787\) | 48.7848 | − | 26.0760i | 0.0619883 | − | 0.0331334i | −0.440111 | − | 0.897943i | \(-0.645061\pi\) |
0.502100 | + | 0.864810i | \(0.332561\pi\) | |||||||
\(788\) | 239.287 | − | 411.927i | 0.303664 | − | 0.522750i | ||||
\(789\) | −91.3890 | − | 111.358i | −0.115829 | − | 0.141138i | ||||
\(790\) | −444.306 | − | 1563.74i | −0.562412 | − | 1.97942i | ||||
\(791\) | 114.929 | + | 76.7928i | 0.145295 | + | 0.0970832i | ||||
\(792\) | −78.1940 | + | 215.823i | −0.0987299 | + | 0.272504i | ||||
\(793\) | −218.832 | + | 146.219i | −0.275954 | + | 0.184387i | ||||
\(794\) | 97.7916 | + | 1212.41i | 0.123163 | + | 1.52697i | ||||
\(795\) | 409.325 | + | 218.789i | 0.514874 | + | 0.275206i | ||||
\(796\) | −664.883 | + | 411.006i | −0.835280 | + | 0.516339i | ||||
\(797\) | −807.823 | + | 79.5636i | −1.01358 | + | 0.0998289i | −0.591146 | − | 0.806565i | \(-0.701324\pi\) |
−0.422434 | + | 0.906394i | \(0.638824\pi\) | |||||||
\(798\) | −2.91713 | + | 164.882i | −0.00365555 | + | 0.206619i | ||||
\(799\) | 711.366 | − | 711.366i | 0.890320 | − | 0.890320i | ||||
\(800\) | −264.747 | + | 329.069i | −0.330934 | + | 0.411336i | ||||
\(801\) | −71.2437 | + | 71.2437i | −0.0889434 | + | 0.0889434i | ||||
\(802\) | 453.311 | − | 437.549i | 0.565225 | − | 0.545573i | ||||
\(803\) | 123.912 | − | 12.2043i | 0.154312 | − | 0.0151984i | ||||
\(804\) | 520.953 | − | 722.926i | 0.647952 | − | 0.899162i | ||||
\(805\) | −44.2145 | − | 23.6331i | −0.0549248 | − | 0.0293579i | ||||
\(806\) | 425.008 | + | 361.564i | 0.527305 | + | 0.448591i | ||||
\(807\) | −404.696 | + | 270.409i | −0.501482 | + | 0.335080i | ||||
\(808\) | −818.889 | + | 602.288i | −1.01348 | + | 0.745406i | ||||
\(809\) | −557.825 | − | 372.727i | −0.689524 | − | 0.460725i | 0.160799 | − | 0.986987i | \(-0.448593\pi\) |
−0.850322 | + | 0.526262i | \(0.823593\pi\) | |||||||
\(810\) | −54.1696 | + | 97.1695i | −0.0668761 | + | 0.119962i | ||||
\(811\) | −900.666 | − | 1097.46i | −1.11056 | − | 1.35322i | −0.929101 | − | 0.369826i | \(-0.879417\pi\) |
−0.181461 | − | 0.983398i | \(-0.558083\pi\) | |||||||
\(812\) | 25.6111 | + | 33.5612i | 0.0315408 | + | 0.0413316i | ||||
\(813\) | −550.870 | + | 294.446i | −0.677577 | + | 0.362172i | ||||
\(814\) | 101.051 | − | 464.879i | 0.124141 | − | 0.571105i | ||||
\(815\) | 312.828 | + | 755.235i | 0.383839 | + | 0.926668i | ||||
\(816\) | −133.172 | + | 348.209i | −0.163201 | + | 0.426726i | ||||
\(817\) | 684.379 | + | 283.479i | 0.837673 | + | 0.346976i | ||||
\(818\) | 84.5355 | + | 58.6740i | 0.103344 | + | 0.0717287i | ||||
\(819\) | −39.1076 | − | 11.8632i | −0.0477504 | − | 0.0144849i | ||||
\(820\) | −271.651 | − | 554.562i | −0.331282 | − | 0.676296i | ||||
\(821\) | −1103.21 | − | 108.657i | −1.34374 | − | 0.132347i | −0.599565 | − | 0.800326i | \(-0.704660\pi\) |
−0.744180 | + | 0.667979i | \(0.767160\pi\) | |||||||
\(822\) | −10.6870 | + | 91.8237i | −0.0130013 | + | 0.111708i | ||||
\(823\) | 239.470 | + | 1203.90i | 0.290973 | + | 1.46282i | 0.798924 | + | 0.601432i | \(0.205403\pi\) |
−0.507951 | + | 0.861386i | \(0.669597\pi\) | |||||||
\(824\) | 20.6230 | + | 142.950i | 0.0250279 | + | 0.173483i | ||||
\(825\) | 42.6565 | − | 214.449i | 0.0517049 | − | 0.259938i | ||||
\(826\) | −81.7602 | − | 159.695i | −0.0989833 | − | 0.193335i | ||||
\(827\) | 70.9418 | + | 233.864i | 0.0857821 | + | 0.282786i | 0.989328 | − | 0.145706i | \(-0.0465453\pi\) |
−0.903546 | + | 0.428491i | \(0.859045\pi\) | |||||||
\(828\) | 16.1876 | + | 43.3585i | 0.0195503 | + | 0.0523653i | ||||
\(829\) | −624.740 | + | 761.247i | −0.753606 | + | 0.918272i | −0.998687 | − | 0.0512309i | \(-0.983686\pi\) |
0.245081 | + | 0.969503i | \(0.421186\pi\) | |||||||
\(830\) | −760.038 | − | 330.688i | −0.915709 | − | 0.398420i | ||||
\(831\) | −267.198 | −0.321538 | ||||||||
\(832\) | 155.575 | + | 384.222i | 0.186990 | + | 0.461806i | ||||
\(833\) | 599.663i | 0.719884i | ||||||||
\(834\) | −284.353 | − | 123.720i | −0.340951 | − | 0.148346i | ||||
\(835\) | −288.554 | − | 236.810i | −0.345573 | − | 0.283605i | ||||
\(836\) | −359.480 | + | 787.817i | −0.430000 | + | 0.942365i | ||||
\(837\) | 214.189 | − | 64.9736i | 0.255901 | − | 0.0776268i | ||||
\(838\) | 595.628 | + | 1163.39i | 0.710774 | + | 1.38829i | ||||
\(839\) | 1147.37 | + | 228.226i | 1.36754 | + | 0.272021i | 0.823634 | − | 0.567122i | \(-0.191943\pi\) |
0.543910 | + | 0.839143i | \(0.316943\pi\) | |||||||
\(840\) | −154.860 | + | 91.9830i | −0.184357 | + | 0.109504i | ||||
\(841\) | −800.142 | + | 159.158i | −0.951418 | + | 0.189249i | ||||
\(842\) | 181.626 | − | 1560.54i | 0.215708 | − | 1.85338i | ||||
\(843\) | 39.4205 | − | 400.243i | 0.0467622 | − | 0.474785i | ||||
\(844\) | −111.042 | − | 38.0230i | −0.131567 | − | 0.0450510i | ||||
\(845\) | −227.939 | + | 751.414i | −0.269750 | + | 0.889247i | ||||
\(846\) | −368.613 | − | 255.846i | −0.435713 | − | 0.302418i | ||||
\(847\) | −23.7575 | + | 57.3557i | −0.0280490 | + | 0.0677163i | ||||
\(848\) | 116.635 | − | 683.831i | 0.137542 | − | 0.806404i | ||||
\(849\) | −759.935 | + | 314.775i | −0.895094 | + | 0.370760i | ||||
\(850\) | 75.4267 | − | 346.998i | 0.0887373 | − | 0.408233i | ||||
\(851\) | −45.2148 | − | 84.5909i | −0.0531314 | − | 0.0994018i | ||||
\(852\) | −44.4092 | + | 330.536i | −0.0521235 | + | 0.387953i | ||||
\(853\) | −444.361 | + | 364.677i | −0.520939 | + | 0.427523i | −0.857764 | − | 0.514044i | \(-0.828147\pi\) |
0.336825 | + | 0.941567i | \(0.390647\pi\) | |||||||
\(854\) | −83.2279 | + | 149.294i | −0.0974566 | + | 0.174818i | ||||
\(855\) | −233.158 | + | 348.945i | −0.272699 | + | 0.408123i | ||||
\(856\) | 259.273 | − | 63.8478i | 0.302888 | − | 0.0745886i | ||||
\(857\) | 886.709 | + | 1327.05i | 1.03467 | + | 1.54849i | 0.820464 | + | 0.571698i | \(0.193715\pi\) |
0.214202 | + | 0.976789i | \(0.431285\pi\) | |||||||
\(858\) | −163.454 | − | 139.054i | −0.190506 | − | 0.162068i | ||||
\(859\) | 17.0396 | − | 31.8789i | 0.0198366 | − | 0.0371116i | −0.871808 | − | 0.489848i | \(-0.837052\pi\) |
0.891644 | + | 0.452737i | \(0.149552\pi\) | |||||||
\(860\) | 129.677 | + | 798.630i | 0.150787 | + | 0.928640i | ||||
\(861\) | −8.91903 | − | 90.5564i | −0.0103589 | − | 0.105176i | ||||
\(862\) | −668.705 | + | 645.455i | −0.775760 | + | 0.748788i | ||||
\(863\) | −302.307 | − | 302.307i | −0.350298 | − | 0.350298i | 0.509922 | − | 0.860220i | \(-0.329674\pi\) |
−0.860220 | + | 0.509922i | \(0.829674\pi\) | |||||||
\(864\) | 163.390 | + | 30.8518i | 0.189108 | + | 0.0357082i | ||||
\(865\) | 1162.03 | + | 1162.03i | 1.34338 | + | 1.34338i | ||||
\(866\) | 15.8973 | − | 898.549i | 0.0183572 | − | 1.03759i | ||||
\(867\) | 18.3405 | + | 186.215i | 0.0211540 | + | 0.214780i | ||||
\(868\) | 352.703 | + | 83.2270i | 0.406340 | + | 0.0958837i | ||||
\(869\) | 592.963 | − | 1109.36i | 0.682351 | − | 1.27659i | ||||
\(870\) | 8.63774 | + | 107.090i | 0.00992843 | + | 0.123092i | ||||
\(871\) | 462.810 | + | 692.644i | 0.531355 | + | 0.795229i | ||||
\(872\) | −74.0745 | − | 1641.20i | −0.0849478 | − | 1.88211i | ||||
\(873\) | 74.2230 | − | 111.083i | 0.0850206 | − | 0.127242i | ||||
\(874\) | 47.7181 | + | 167.945i | 0.0545973 | + | 0.192156i | ||||
\(875\) | −118.586 | + | 97.3213i | −0.135527 | + | 0.111224i | ||||
\(876\) | −23.1117 | − | 87.1793i | −0.0263832 | − | 0.0995198i | ||||
\(877\) | 598.268 | + | 1119.28i | 0.682176 | + | 1.27626i | 0.949836 | + | 0.312748i | \(0.101249\pi\) |
−0.267661 | + | 0.963513i | \(0.586251\pi\) | |||||||
\(878\) | 648.536 | − | 416.935i | 0.738651 | − | 0.474869i | ||||
\(879\) | −643.029 | + | 266.351i | −0.731546 | + | 0.303016i | ||||
\(880\) | −938.378 | + | 118.473i | −1.06634 | + | 0.134628i | ||||
\(881\) | −618.700 | + | 1493.67i | −0.702270 | + | 1.69543i | 0.0161980 | + | 0.999869i | \(0.494844\pi\) |
−0.718468 | + | 0.695560i | \(0.755156\pi\) | |||||||
\(882\) | 263.202 | − | 47.5302i | 0.298415 | − | 0.0538891i | ||||
\(883\) | −62.8748 | + | 207.270i | −0.0712059 | + | 0.234734i | −0.985319 | − | 0.170726i | \(-0.945389\pi\) |
0.914113 | + | 0.405460i | \(0.132889\pi\) | |||||||
\(884\) | −261.423 | − | 230.493i | −0.295727 | − | 0.260738i | ||||
\(885\) | 44.7520 | − | 454.374i | 0.0505672 | − | 0.513417i | ||||
\(886\) | −487.409 | + | 385.781i | −0.550123 | + | 0.435419i | ||||
\(887\) | −1322.27 | + | 263.015i | −1.49072 | + | 0.296522i | −0.872161 | − | 0.489218i | \(-0.837282\pi\) |
−0.618556 | + | 0.785741i | \(0.712282\pi\) | |||||||
\(888\) | −344.116 | − | 18.2797i | −0.387518 | − | 0.0205853i | ||||
\(889\) | −127.861 | − | 25.4331i | −0.143826 | − | 0.0286087i | ||||
\(890\) | −395.068 | − | 127.517i | −0.443897 | − | 0.143277i | ||||
\(891\) | −82.3753 | + | 24.9883i | −0.0924526 | + | 0.0280452i | ||||
\(892\) | −1204.73 | − | 42.6421i | −1.35060 | − | 0.0478051i | ||||
\(893\) | −1308.45 | − | 1073.82i | −1.46523 | − | 1.20249i | ||||
\(894\) | −247.840 | − | 629.616i | −0.277226 | − | 0.704268i | ||||
\(895\) | − | 384.951i | − | 0.430113i | ||||||
\(896\) | 203.654 | + | 176.069i | 0.227292 | + | 0.196506i | ||||
\(897\) | −43.2672 | −0.0482355 | ||||||||
\(898\) | −552.072 | + | 217.316i | −0.614779 | + | 0.242000i | ||||
\(899\) | 137.130 | − | 167.094i | 0.152537 | − | 0.185866i | ||||
\(900\) | −158.281 | − | 5.60243i | −0.175868 | − | 0.00622493i | ||||
\(901\) | 169.310 | + | 558.139i | 0.187913 | + | 0.619466i | ||||
\(902\) | 146.772 | − | 454.726i | 0.162719 | − | 0.504131i | ||||
\(903\) | −23.2592 | + | 116.932i | −0.0257577 | + | 0.129493i | ||||
\(904\) | 390.966 | − | 351.524i | 0.432484 | − | 0.388854i | ||||
\(905\) | −48.0058 | − | 241.341i | −0.0530450 | − | 0.266675i | ||||
\(906\) | 491.290 | + | 620.712i | 0.542262 | + | 0.685112i | ||||
\(907\) | −1048.62 | − | 103.280i | −1.15614 | − | 0.113869i | −0.498282 | − | 0.867015i | \(-0.666036\pi\) |
−0.657854 | + | 0.753146i | \(0.728536\pi\) | |||||||
\(908\) | 331.026 | + | 291.861i | 0.364567 | + | 0.321433i | ||||
\(909\) | −364.784 | − | 110.656i | −0.401303 | − | 0.121734i | ||||
\(910\) | −29.9240 | − | 165.706i | −0.0328835 | − | 0.182095i | ||||
\(911\) | 773.241 | + | 320.287i | 0.848782 | + | 0.351577i | 0.764310 | − | 0.644849i | \(-0.223080\pi\) |
0.0844719 | + | 0.996426i | \(0.473080\pi\) | |||||||
\(912\) | 605.016 | + | 165.563i | 0.663394 | + | 0.181538i | ||||
\(913\) | −245.437 | − | 592.536i | −0.268824 | − | 0.648999i | ||||
\(914\) | −636.300 | − | 989.755i | −0.696171 | − | 1.08288i | ||||
\(915\) | −383.625 | + | 205.052i | −0.419262 | + | 0.224100i | ||||
\(916\) | −221.165 | − | 834.257i | −0.241447 | − | 0.910761i | ||||
\(917\) | 145.958 | + | 177.850i | 0.159169 | + | 0.193948i | ||||
\(918\) | −134.479 | + | 38.2095i | −0.146492 | + | 0.0416226i | ||||
\(919\) | −79.4937 | − | 53.1160i | −0.0865002 | − | 0.0577976i | 0.511568 | − | 0.859243i | \(-0.329065\pi\) |
−0.598068 | + | 0.801445i | \(0.704065\pi\) | |||||||
\(920\) | −128.625 | + | 140.785i | −0.139810 | + | 0.153027i | ||||
\(921\) | −856.165 | + | 572.071i | −0.929604 | + | 0.621141i | ||||
\(922\) | 1192.51 | − | 96.1864i | 1.29340 | − | 0.104324i | ||||
\(923\) | −274.968 | − | 146.974i | −0.297907 | − | 0.159235i | ||||
\(924\) | −135.646 | − | 32.0084i | −0.146803 | − | 0.0346411i | ||||
\(925\) | 326.655 | − | 32.1727i | 0.353141 | − | 0.0347813i | ||||
\(926\) | −233.609 | − | 4.13305i | −0.252277 | − | 0.00446334i | ||||
\(927\) | −38.2977 | + | 38.2977i | −0.0413136 | + | 0.0413136i | ||||
\(928\) | 147.753 | − | 62.8912i | 0.159217 | − | 0.0677707i | ||||
\(929\) | −1021.29 | + | 1021.29i | −1.09935 | + | 1.09935i | −0.104861 | + | 0.994487i | \(0.533440\pi\) |
−0.994487 | + | 0.104861i | \(0.966560\pi\) | |||||||
\(930\) | 640.485 | + | 663.556i | 0.688693 | + | 0.713501i | ||||
\(931\) | 1004.10 | − | 98.8951i | 1.07852 | − | 0.106225i | ||||
\(932\) | −172.003 | − | 1059.30i | −0.184553 | − | 1.13659i | ||||
\(933\) | 419.262 | + | 224.100i | 0.449369 | + | 0.240193i | ||||
\(934\) | 51.9764 | − | 61.0968i | 0.0556493 | − | 0.0654141i | ||||
\(935\) | 661.211 | − | 441.807i | 0.707177 | − | 0.472521i | ||||
\(936\) | −80.4461 | + | 133.012i | −0.0859467 | + | 0.142107i | ||||
\(937\) | 402.970 | + | 269.256i | 0.430064 | + | 0.287360i | 0.751702 | − | 0.659503i | \(-0.229233\pi\) |
−0.321638 | + | 0.946863i | \(0.604233\pi\) | |||||||
\(938\) | 472.545 | + | 263.432i | 0.503780 | + | 0.280845i | ||||
\(939\) | 155.935 | + | 190.008i | 0.166065 | + | 0.202351i | ||||
\(940\) | 246.183 | − | 1832.33i | 0.261897 | − | 1.94929i | ||||
\(941\) | 305.824 | − | 163.466i | 0.324999 | − | 0.173715i | −0.300826 | − | 0.953679i | \(-0.597262\pi\) |
0.625825 | + | 0.779964i | \(0.284762\pi\) | |||||||
\(942\) | 367.353 | + | 79.8513i | 0.389971 | + | 0.0847678i | ||||
\(943\) | −36.8670 | − | 89.0049i | −0.0390955 | − | 0.0943848i | ||||
\(944\) | −665.400 | + | 151.428i | −0.704873 | + | 0.160411i | ||||
\(945\) | −62.4028 | − | 25.8481i | −0.0660347 | − | 0.0273525i | ||||
\(946\) | −356.972 | + | 514.313i | −0.377349 | + | 0.543671i | ||||
\(947\) | −622.871 | − | 188.946i | −0.657731 | − | 0.199520i | −0.0562612 | − | 0.998416i | \(-0.517918\pi\) |
−0.601470 | + | 0.798896i | \(0.705418\pi\) | |||||||
\(948\) | −862.019 | − | 295.171i | −0.909303 | − | 0.311362i | ||||
\(949\) | 83.9104 | + | 8.26445i | 0.0884198 | + | 0.00870859i | ||||
\(950\) | −593.465 | − | 69.0712i | −0.624700 | − | 0.0727066i | ||||
\(951\) | −28.4900 | − | 143.229i | −0.0299579 | − | 0.150609i | ||||
\(952\) | −219.344 | − | 55.8723i | −0.230403 | − | 0.0586893i | ||||
\(953\) | −126.035 | + | 633.619i | −0.132251 | + | 0.664868i | 0.856603 | + | 0.515976i | \(0.172571\pi\) |
−0.988853 | + | 0.148892i | \(0.952429\pi\) | |||||||
\(954\) | 231.556 | − | 118.552i | 0.242721 | − | 0.124268i | ||||
\(955\) | 114.773 | + | 378.354i | 0.120181 | + | 0.396182i | ||||
\(956\) | −311.446 | + | 682.548i | −0.325780 | + | 0.713962i | ||||
\(957\) | −52.7391 | + | 64.2628i | −0.0551088 | + | 0.0671502i | ||||
\(958\) | −253.718 | + | 583.132i | −0.264841 | + | 0.608698i | ||||
\(959\) | −56.1268 | −0.0585264 | ||||||||
\(960\) | 193.648 | + | 657.177i | 0.201717 | + | 0.684559i | ||||
\(961\) | − | 894.506i | − | 0.930807i | ||||||
\(962\) | 128.529 | − | 295.406i | 0.133606 | − | 0.307075i | ||||
\(963\) | 77.4030 | + | 63.5230i | 0.0803769 | + | 0.0659636i | ||||
\(964\) | −504.830 | − | 1352.18i | −0.523683 | − | 1.40268i | ||||
\(965\) | −897.038 | + | 272.113i | −0.929573 | + | 0.281983i | ||||
\(966\) | −25.0122 | + | 12.8057i | −0.0258926 | + | 0.0132564i | ||||
\(967\) | −458.093 | − | 91.1203i | −0.473726 | − | 0.0942299i | −0.0475472 | − | 0.998869i | \(-0.515140\pi\) |
−0.426179 | + | 0.904639i | \(0.640140\pi\) | |||||||
\(968\) | 189.106 | + | 141.422i | 0.195358 | + | 0.146097i | ||||
\(969\) | −517.253 | + | 102.888i | −0.533801 | + | 0.106180i | ||||
\(970\) | 546.775 | + | 63.6372i | 0.563686 | + | 0.0656054i | ||||
\(971\) | 139.433 | − | 1415.69i | 0.143597 | − | 1.45797i | −0.605678 | − | 0.795710i | \(-0.707098\pi\) |
0.749275 | − | 0.662259i | \(-0.230402\pi\) | |||||||
\(972\) | 27.4298 | + | 55.9965i | 0.0282199 | + | 0.0576096i | ||||
\(973\) | 54.6541 | − | 180.170i | 0.0561707 | − | 0.185170i | ||||
\(974\) | −174.089 | + | 250.822i | −0.178736 | + | 0.257517i | ||||
\(975\) | 56.6618 | − | 136.794i | 0.0581147 | − | 0.140301i | ||||
\(976\) | 472.154 | + | 446.952i | 0.483764 | + | 0.457942i | ||||
\(977\) | −267.943 | + | 110.985i | −0.274250 | + | 0.113598i | −0.515570 | − | 0.856847i | \(-0.672420\pi\) |
0.241320 | + | 0.970446i | \(0.422420\pi\) | |||||||
\(978\) | 447.723 | + | 97.3214i | 0.457795 | + | 0.0995107i | ||||
\(979\) | −151.424 | − | 283.295i | −0.154673 | − | 0.289372i | ||||
\(980\) | 668.541 | + | 876.067i | 0.682184 | + | 0.893946i | ||||
\(981\) | 476.233 | − | 390.835i | 0.485457 | − | 0.398404i | ||||
\(982\) | −1273.88 | − | 710.156i | −1.29723 | − | 0.723173i | ||||
\(983\) | 320.790 | − | 480.096i | 0.326338 | − | 0.488399i | −0.631632 | − | 0.775268i | \(-0.717615\pi\) |
0.957970 | + | 0.286869i | \(0.0926146\pi\) | |||||||
\(984\) | −342.164 | − | 52.1492i | −0.347728 | − | 0.0529971i | ||||
\(985\) | 408.939 | + | 612.021i | 0.415167 | + | 0.621341i | ||||
\(986\) | −87.4842 | + | 102.835i | −0.0887263 | + | 0.104295i | ||||
\(987\) | 128.422 | − | 240.260i | 0.130113 | − | 0.243424i | ||||
\(988\) | −342.832 | + | 475.748i | −0.346996 | + | 0.481526i | ||||
\(989\) | 12.3721 | + | 125.616i | 0.0125097 | + | 0.127014i | ||||
\(990\) | −246.325 | − | 255.198i | −0.248813 | − | 0.257775i | ||||
\(991\) | −1124.75 | − | 1124.75i | −1.13496 | − | 1.13496i | −0.989340 | − | 0.145623i | \(-0.953482\pi\) |
−0.145623 | − | 0.989340i | \(-0.546518\pi\) | |||||||
\(992\) | 637.932 | − | 1221.92i | 0.643076 | − | 1.23177i | ||||
\(993\) | 451.001 | + | 451.001i | 0.454180 | + | 0.454180i | ||||
\(994\) | −202.455 | − | 3.58188i | −0.203677 | − | 0.00360350i | ||||
\(995\) | −118.381 | − | 1201.95i | −0.118976 | − | 1.20799i | ||||
\(996\) | −395.164 | + | 244.276i | −0.396751 | + | 0.245257i | ||||
\(997\) | −168.625 | + | 315.475i | −0.169132 | + | 0.316425i | −0.952180 | − | 0.305537i | \(-0.901164\pi\) |
0.783048 | + | 0.621962i | \(0.213664\pi\) | |||||||
\(998\) | 762.270 | − | 61.4837i | 0.763798 | − | 0.0616069i | ||||
\(999\) | −71.7938 | − | 107.447i | −0.0718656 | − | 0.107555i |
(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 | 384.3.u.a.235.42 | yes | 1024 | |
128.67 | odd | 32 | inner | 384.3.u.a.67.42 | ✓ | 1024 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.3.u.a.67.42 | ✓ | 1024 | 128.67 | odd | 32 | inner | |
384.3.u.a.235.42 | yes | 1024 | 1.1 | even | 1 | trivial |