Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,3,Mod(10,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 7]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.10");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.g (of order \(58\), degree \(28\), 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: | \(4.82290067918\) |
Analytic rank: | \(0\) |
Dimension: | \(560\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 124.16 | ||
Character | \(\chi\) | \(=\) | 177.124 |
Dual form | 177.3.g.a.10.16 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{51}{58}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.13762 | − | 0.851704i | 1.06881 | − | 0.425852i | 0.231642 | − | 0.972801i | \(-0.425590\pi\) |
0.837166 | + | 0.546949i | \(0.184211\pi\) | |||||||
\(3\) | 1.72190 | − | 0.187268i | 0.573966 | − | 0.0624225i | ||||
\(4\) | 0.940023 | − | 0.890437i | 0.235006 | − | 0.222609i | ||||
\(5\) | 4.37246 | + | 5.14766i | 0.874493 | + | 1.02953i | 0.999302 | + | 0.0373517i | \(0.0118922\pi\) |
−0.124809 | + | 0.992181i | \(0.539832\pi\) | |||||||
\(6\) | 3.52126 | − | 1.86685i | 0.586877 | − | 0.311142i | ||||
\(7\) | −0.447582 | + | 0.269301i | −0.0639403 | + | 0.0384716i | −0.547165 | − | 0.837025i | \(-0.684293\pi\) |
0.483225 | + | 0.875496i | \(0.339465\pi\) | |||||||
\(8\) | −2.61371 | + | 5.64945i | −0.326714 | + | 0.706181i | ||||
\(9\) | 2.92986 | − | 0.644911i | 0.325540 | − | 0.0716568i | ||||
\(10\) | 13.7309 | + | 7.27968i | 1.37309 | + | 0.727968i | ||||
\(11\) | 2.30333 | − | 0.124883i | 0.209394 | − | 0.0113530i | 0.0508563 | − | 0.998706i | \(-0.483805\pi\) |
0.158537 | + | 0.987353i | \(0.449322\pi\) | |||||||
\(12\) | 1.45187 | − | 1.70928i | 0.120989 | − | 0.142440i | ||||
\(13\) | 3.27171 | − | 14.8635i | 0.251670 | − | 1.14335i | −0.665984 | − | 0.745966i | \(-0.731988\pi\) |
0.917654 | − | 0.397381i | \(-0.130081\pi\) | |||||||
\(14\) | −0.727394 | + | 0.956871i | −0.0519567 | + | 0.0683479i | ||||
\(15\) | 8.49292 | + | 8.04493i | 0.566195 | + | 0.536328i | ||||
\(16\) | −1.05585 | + | 19.4741i | −0.0659909 | + | 1.21713i | ||||
\(17\) | −20.0176 | − | 12.0442i | −1.17750 | − | 0.708481i | −0.214173 | − | 0.976796i | \(-0.568706\pi\) |
−0.963331 | + | 0.268314i | \(0.913533\pi\) | |||||||
\(18\) | 5.71365 | − | 3.87395i | 0.317425 | − | 0.215219i | ||||
\(19\) | −6.08850 | − | 21.9288i | −0.320447 | − | 1.15415i | −0.931855 | − | 0.362831i | \(-0.881810\pi\) |
0.611408 | − | 0.791316i | \(-0.290604\pi\) | |||||||
\(20\) | 8.69388 | + | 0.945517i | 0.434694 | + | 0.0472758i | ||||
\(21\) | −0.720259 | + | 0.547527i | −0.0342981 | + | 0.0260727i | ||||
\(22\) | 4.81727 | − | 2.22871i | 0.218967 | − | 0.101305i | ||||
\(23\) | 7.90473 | + | 5.35954i | 0.343684 | + | 0.233023i | 0.720801 | − | 0.693142i | \(-0.243774\pi\) |
−0.377117 | + | 0.926166i | \(0.623085\pi\) | |||||||
\(24\) | −3.44259 | + | 10.2172i | −0.143441 | + | 0.425718i | ||||
\(25\) | −3.33544 | + | 20.3453i | −0.133418 | + | 0.813811i | ||||
\(26\) | −5.66566 | − | 34.5590i | −0.217910 | − | 1.32919i | ||||
\(27\) | 4.92415 | − | 1.65914i | 0.182376 | − | 0.0614496i | ||||
\(28\) | −0.180942 | + | 0.651693i | −0.00646220 | + | 0.0232748i | ||||
\(29\) | 6.58985 | − | 16.5393i | 0.227236 | − | 0.570320i | −0.770509 | − | 0.637429i | \(-0.779998\pi\) |
0.997746 | + | 0.0671086i | \(0.0213774\pi\) | |||||||
\(30\) | 25.0065 | + | 9.96351i | 0.833551 | + | 0.332117i | ||||
\(31\) | −10.7556 | − | 2.98626i | −0.346953 | − | 0.0963311i | 0.0896801 | − | 0.995971i | \(-0.471416\pi\) |
−0.436633 | + | 0.899640i | \(0.643829\pi\) | |||||||
\(32\) | 6.37884 | + | 18.9317i | 0.199339 | + | 0.591616i | ||||
\(33\) | 3.94271 | − | 0.646375i | 0.119476 | − | 0.0195871i | ||||
\(34\) | −53.0480 | − | 8.69678i | −1.56024 | − | 0.255788i | ||||
\(35\) | −3.34331 | − | 1.12649i | −0.0955231 | − | 0.0321855i | ||||
\(36\) | 2.17988 | − | 3.21509i | 0.0605523 | − | 0.0893080i | ||||
\(37\) | 10.2683 | + | 22.1945i | 0.277520 | + | 0.599850i | 0.995345 | − | 0.0963733i | \(-0.0307243\pi\) |
−0.717825 | + | 0.696224i | \(0.754862\pi\) | |||||||
\(38\) | −31.6917 | − | 41.6897i | −0.833992 | − | 1.09710i | ||||
\(39\) | 2.85009 | − | 26.2061i | 0.0730792 | − | 0.671952i | ||||
\(40\) | −40.5098 | + | 11.2475i | −1.01275 | + | 0.281188i | ||||
\(41\) | 5.39614 | + | 7.95871i | 0.131613 | + | 0.194115i | 0.887785 | − | 0.460258i | \(-0.152243\pi\) |
−0.756172 | + | 0.654373i | \(0.772933\pi\) | |||||||
\(42\) | −1.07331 | + | 1.78385i | −0.0255549 | + | 0.0424726i | ||||
\(43\) | −39.4487 | − | 2.13885i | −0.917411 | − | 0.0497406i | −0.410617 | − | 0.911808i | \(-0.634687\pi\) |
−0.506794 | + | 0.862067i | \(0.669170\pi\) | |||||||
\(44\) | 2.05398 | − | 2.16836i | 0.0466814 | − | 0.0492810i | ||||
\(45\) | 16.1305 | + | 12.2621i | 0.358456 | + | 0.272491i | ||||
\(46\) | 21.4620 | + | 4.72415i | 0.466566 | + | 0.102699i | ||||
\(47\) | 4.88103 | + | 4.14599i | 0.103852 | + | 0.0882125i | 0.697808 | − | 0.716285i | \(-0.254159\pi\) |
−0.593956 | + | 0.804497i | \(0.702435\pi\) | |||||||
\(48\) | 1.82879 | + | 33.7301i | 0.0380999 | + | 0.702711i | ||||
\(49\) | −22.8242 | + | 43.0510i | −0.465800 | + | 0.878592i | ||||
\(50\) | 10.1983 | + | 46.3312i | 0.203965 | + | 0.926624i | ||||
\(51\) | −36.7237 | − | 16.9902i | −0.720073 | − | 0.333141i | ||||
\(52\) | −10.1595 | − | 16.8853i | −0.195376 | − | 0.324717i | ||||
\(53\) | 30.3824 | + | 57.3073i | 0.573253 | + | 1.08127i | 0.985416 | + | 0.170160i | \(0.0544284\pi\) |
−0.412164 | + | 0.911110i | \(0.635227\pi\) | |||||||
\(54\) | 9.11285 | − | 7.74052i | 0.168756 | − | 0.143343i | ||||
\(55\) | 10.7141 | + | 11.3107i | 0.194802 | + | 0.205649i | ||||
\(56\) | −0.351552 | − | 3.23247i | −0.00627772 | − | 0.0577227i | ||||
\(57\) | −14.5903 | − | 36.6189i | −0.255971 | − | 0.642438i | ||||
\(58\) | − | 40.9672i | − | 0.706332i | ||||||
\(59\) | 10.3186 | − | 58.0907i | 0.174892 | − | 0.984588i | ||||
\(60\) | 15.1470 | 0.252451 | ||||||||
\(61\) | 20.5075 | − | 8.17093i | 0.336188 | − | 0.133950i | −0.195934 | − | 0.980617i | \(-0.562774\pi\) |
0.532123 | + | 0.846667i | \(0.321395\pi\) | |||||||
\(62\) | −25.5347 | + | 2.77706i | −0.411849 | + | 0.0447913i | ||||
\(63\) | −1.13768 | + | 1.07767i | −0.0180584 | + | 0.0171058i | ||||
\(64\) | −20.7434 | − | 24.4210i | −0.324115 | − | 0.381578i | ||||
\(65\) | 90.8177 | − | 48.1485i | 1.39720 | − | 0.740747i | ||||
\(66\) | 7.87749 | − | 4.73973i | 0.119356 | − | 0.0718140i | ||||
\(67\) | 21.3928 | − | 46.2399i | 0.319296 | − | 0.690148i | −0.679767 | − | 0.733428i | \(-0.737919\pi\) |
0.999063 | + | 0.0432809i | \(0.0137810\pi\) | |||||||
\(68\) | −29.5416 | + | 6.50259i | −0.434435 | + | 0.0956263i | ||||
\(69\) | 14.6148 | + | 7.74827i | 0.211809 | + | 0.112294i | ||||
\(70\) | −8.10615 | + | 0.439503i | −0.115802 | + | 0.00627861i | ||||
\(71\) | −30.3024 | + | 35.6747i | −0.426794 | + | 0.502460i | −0.932962 | − | 0.359974i | \(-0.882785\pi\) |
0.506169 | + | 0.862435i | \(0.331061\pi\) | |||||||
\(72\) | −4.01443 | + | 18.2377i | −0.0557559 | + | 0.253302i | ||||
\(73\) | −81.4368 | + | 107.128i | −1.11557 | + | 1.46751i | −0.248970 | + | 0.968511i | \(0.580092\pi\) |
−0.866602 | + | 0.499000i | \(0.833701\pi\) | |||||||
\(74\) | 40.8527 | + | 38.6977i | 0.552064 | + | 0.522942i | ||||
\(75\) | −1.93327 | + | 35.6571i | −0.0257770 | + | 0.475428i | ||||
\(76\) | −25.2495 | − | 15.1921i | −0.332231 | − | 0.199896i | ||||
\(77\) | −0.997299 | + | 0.676185i | −0.0129519 | + | 0.00878163i | ||||
\(78\) | −16.2275 | − | 58.4461i | −0.208045 | − | 0.749309i | ||||
\(79\) | −86.7435 | − | 9.43392i | −1.09802 | − | 0.119417i | −0.458873 | − | 0.888502i | \(-0.651747\pi\) |
−0.639146 | + | 0.769085i | \(0.720712\pi\) | |||||||
\(80\) | −104.863 | + | 79.7146i | −1.31078 | + | 0.996433i | ||||
\(81\) | 8.16818 | − | 3.77900i | 0.100842 | − | 0.0466543i | ||||
\(82\) | 18.3133 | + | 12.4168i | 0.223333 | + | 0.151424i | ||||
\(83\) | −3.81776 | + | 11.3307i | −0.0459972 | + | 0.136515i | −0.968190 | − | 0.250215i | \(-0.919499\pi\) |
0.922193 | + | 0.386730i | \(0.126395\pi\) | |||||||
\(84\) | −0.189522 | + | 1.15603i | −0.00225621 | + | 0.0137623i | ||||
\(85\) | −25.5268 | − | 155.706i | −0.300315 | − | 1.83184i | ||||
\(86\) | −86.1478 | + | 29.0266i | −1.00172 | + | 0.337518i | ||||
\(87\) | 8.24978 | − | 29.7130i | 0.0948250 | − | 0.341529i | ||||
\(88\) | −5.31473 | + | 13.3390i | −0.0603946 | + | 0.151579i | ||||
\(89\) | 146.586 | + | 58.4051i | 1.64703 | + | 0.656237i | 0.994806 | − | 0.101789i | \(-0.0324566\pi\) |
0.652225 | + | 0.758026i | \(0.273836\pi\) | |||||||
\(90\) | 44.9245 | + | 12.4732i | 0.499161 | + | 0.138591i | ||||
\(91\) | 2.53841 | + | 7.53372i | 0.0278946 | + | 0.0827881i | ||||
\(92\) | 12.2029 | − | 2.00057i | 0.132641 | − | 0.0217453i | ||||
\(93\) | −19.0792 | − | 3.12787i | −0.205153 | − | 0.0336331i | ||||
\(94\) | 13.9649 | + | 4.70533i | 0.148563 | + | 0.0500568i | ||||
\(95\) | 86.2603 | − | 127.224i | 0.908003 | − | 1.33920i | ||||
\(96\) | 14.5290 | + | 31.4039i | 0.151344 | + | 0.327124i | ||||
\(97\) | −40.2437 | − | 52.9397i | −0.414884 | − | 0.545770i | 0.540420 | − | 0.841395i | \(-0.318265\pi\) |
−0.955304 | + | 0.295625i | \(0.904472\pi\) | |||||||
\(98\) | −12.1227 | + | 111.466i | −0.123701 | + | 1.13741i | ||||
\(99\) | 6.66790 | − | 1.85133i | 0.0673525 | − | 0.0187003i | ||||
\(100\) | 14.9808 | + | 22.0950i | 0.149808 | + | 0.220950i | ||||
\(101\) | 64.2261 | − | 106.745i | 0.635902 | − | 1.05688i | −0.356554 | − | 0.934275i | \(-0.616048\pi\) |
0.992456 | − | 0.122603i | \(-0.0391241\pi\) | |||||||
\(102\) | −92.9718 | − | 5.04079i | −0.911489 | − | 0.0494195i | ||||
\(103\) | −55.2564 | + | 58.3335i | −0.536470 | + | 0.566345i | −0.936728 | − | 0.350058i | \(-0.886162\pi\) |
0.400258 | + | 0.916403i | \(0.368921\pi\) | |||||||
\(104\) | 75.4194 | + | 57.3323i | 0.725186 | + | 0.551272i | ||||
\(105\) | −5.96779 | − | 1.31361i | −0.0568361 | − | 0.0125106i | ||||
\(106\) | 113.755 | + | 96.6242i | 1.07316 | + | 0.911549i | ||||
\(107\) | −7.53793 | − | 139.029i | −0.0704479 | − | 1.29934i | −0.793512 | − | 0.608555i | \(-0.791750\pi\) |
0.723064 | − | 0.690781i | \(-0.242733\pi\) | |||||||
\(108\) | 3.15145 | − | 5.94427i | 0.0291801 | − | 0.0550396i | ||||
\(109\) | 21.9902 | + | 99.9025i | 0.201745 | + | 0.916537i | 0.963298 | + | 0.268434i | \(0.0865061\pi\) |
−0.761553 | + | 0.648103i | \(0.775563\pi\) | |||||||
\(110\) | 32.5360 | + | 15.0528i | 0.295782 | + | 0.136843i | ||||
\(111\) | 21.8372 | + | 36.2937i | 0.196731 | + | 0.326970i | ||||
\(112\) | −4.77182 | − | 9.00060i | −0.0426055 | − | 0.0803625i | ||||
\(113\) | 85.0066 | − | 72.2053i | 0.752271 | − | 0.638985i | −0.186922 | − | 0.982375i | \(-0.559851\pi\) |
0.939193 | + | 0.343390i | \(0.111575\pi\) | |||||||
\(114\) | −62.3770 | − | 65.8506i | −0.547167 | − | 0.577637i | ||||
\(115\) | 6.97404 | + | 64.1252i | 0.0606438 | + | 0.557611i | ||||
\(116\) | −8.53257 | − | 21.4151i | −0.0735567 | − | 0.184613i | ||||
\(117\) | − | 45.6580i | − | 0.390239i | ||||||
\(118\) | −27.4188 | − | 132.964i | −0.232363 | − | 1.12681i | ||||
\(119\) | 12.2030 | 0.102546 | ||||||||
\(120\) | −67.6475 | + | 26.9532i | −0.563729 | + | 0.224610i | ||||
\(121\) | −115.001 | + | 12.5071i | −0.950421 | + | 0.103365i | ||||
\(122\) | 36.8779 | − | 34.9326i | 0.302278 | − | 0.286333i | ||||
\(123\) | 10.7820 | + | 12.6936i | 0.0876586 | + | 0.103200i | ||||
\(124\) | −12.7695 | + | 6.76998i | −0.102980 | + | 0.0545966i | ||||
\(125\) | 25.3662 | − | 15.2623i | 0.202930 | − | 0.122099i | ||||
\(126\) | −1.51407 | + | 3.27260i | −0.0120164 | + | 0.0259730i | ||||
\(127\) | 246.775 | − | 54.3193i | 1.94311 | − | 0.427711i | 0.949688 | − | 0.313198i | \(-0.101401\pi\) |
0.993422 | − | 0.114512i | \(-0.0365305\pi\) | |||||||
\(128\) | −135.742 | − | 71.9660i | −1.06049 | − | 0.562234i | ||||
\(129\) | −68.3271 | + | 3.70459i | −0.529668 | + | 0.0287177i | ||||
\(130\) | 153.125 | − | 180.273i | 1.17789 | − | 1.38672i | ||||
\(131\) | −25.4437 | + | 115.592i | −0.194227 | + | 0.882381i | 0.774172 | + | 0.632975i | \(0.218166\pi\) |
−0.968399 | + | 0.249406i | \(0.919765\pi\) | |||||||
\(132\) | 3.13068 | − | 4.11834i | 0.0237173 | − | 0.0311996i | ||||
\(133\) | 8.63055 | + | 8.17530i | 0.0648914 | + | 0.0614684i | ||||
\(134\) | 6.34700 | − | 117.064i | 0.0473657 | − | 0.873608i | ||||
\(135\) | 30.0714 | + | 18.0933i | 0.222751 | + | 0.134025i | ||||
\(136\) | 120.363 | − | 81.6083i | 0.885024 | − | 0.600061i | ||||
\(137\) | 51.5307 | + | 185.597i | 0.376137 | + | 1.35472i | 0.873350 | + | 0.487094i | \(0.161943\pi\) |
−0.497213 | + | 0.867629i | \(0.665643\pi\) | |||||||
\(138\) | 37.8401 | + | 4.11536i | 0.274203 | + | 0.0298214i | ||||
\(139\) | 48.6113 | − | 36.9533i | 0.349722 | − | 0.265851i | −0.415535 | − | 0.909577i | \(-0.636405\pi\) |
0.765256 | + | 0.643726i | \(0.222612\pi\) | |||||||
\(140\) | −4.14586 | + | 1.91808i | −0.0296133 | + | 0.0137006i | ||||
\(141\) | 9.18105 | + | 6.22491i | 0.0651138 | + | 0.0441483i | ||||
\(142\) | −34.3905 | + | 102.067i | −0.242187 | + | 0.718785i | ||||
\(143\) | 5.67962 | − | 34.6442i | 0.0397176 | − | 0.242267i | ||||
\(144\) | 9.46556 | + | 57.7373i | 0.0657330 | + | 0.400954i | ||||
\(145\) | 113.953 | − | 38.3951i | 0.785879 | − | 0.264794i | ||||
\(146\) | −82.8390 | + | 298.359i | −0.567391 | + | 2.04356i | ||||
\(147\) | −31.2389 | + | 78.4037i | −0.212509 | + | 0.533358i | ||||
\(148\) | 29.4152 | + | 11.7201i | 0.198751 | + | 0.0791896i | ||||
\(149\) | −141.414 | − | 39.2633i | −0.949084 | − | 0.263512i | −0.241708 | − | 0.970349i | \(-0.577708\pi\) |
−0.707376 | + | 0.706837i | \(0.750121\pi\) | |||||||
\(150\) | 26.2367 | + | 77.8678i | 0.174911 | + | 0.519118i | ||||
\(151\) | 156.874 | − | 25.7182i | 1.03890 | − | 0.170319i | 0.381896 | − | 0.924205i | \(-0.375271\pi\) |
0.657005 | + | 0.753886i | \(0.271823\pi\) | |||||||
\(152\) | 139.799 | + | 22.9189i | 0.919732 | + | 0.150782i | ||||
\(153\) | −66.4162 | − | 22.3782i | −0.434093 | − | 0.146263i | ||||
\(154\) | −1.55593 | + | 2.29483i | −0.0101035 | + | 0.0149015i | ||||
\(155\) | −31.6560 | − | 68.4233i | −0.204232 | − | 0.441441i | ||||
\(156\) | −20.6557 | − | 27.1722i | −0.132409 | − | 0.174181i | ||||
\(157\) | −20.5740 | + | 189.175i | −0.131045 | + | 1.20494i | 0.725263 | + | 0.688472i | \(0.241718\pi\) |
−0.856308 | + | 0.516466i | \(0.827247\pi\) | |||||||
\(158\) | −193.459 | + | 53.7137i | −1.22443 | + | 0.339960i | ||||
\(159\) | 63.0472 | + | 92.9876i | 0.396523 | + | 0.584828i | ||||
\(160\) | −69.5629 | + | 115.614i | −0.434768 | + | 0.722590i | ||||
\(161\) | −4.98135 | − | 0.270081i | −0.0309400 | − | 0.00167752i | ||||
\(162\) | 14.2418 | − | 15.0349i | 0.0879126 | − | 0.0928082i | ||||
\(163\) | 202.567 | + | 153.988i | 1.24274 | + | 0.944709i | 0.999680 | − | 0.0253010i | \(-0.00805441\pi\) |
0.243064 | + | 0.970010i | \(0.421848\pi\) | |||||||
\(164\) | 12.1592 | + | 2.67645i | 0.0741416 | + | 0.0163198i | ||||
\(165\) | 20.5667 | + | 17.4695i | 0.124647 | + | 0.105876i | ||||
\(166\) | 1.48951 | + | 27.4723i | 0.00897294 | + | 0.165496i | ||||
\(167\) | 111.386 | − | 210.096i | 0.666981 | − | 1.25806i | −0.286925 | − | 0.957953i | \(-0.592633\pi\) |
0.953906 | − | 0.300107i | \(-0.0970222\pi\) | |||||||
\(168\) | −1.21067 | − | 5.50015i | −0.00720640 | − | 0.0327390i | ||||
\(169\) | −56.8396 | − | 26.2968i | −0.336329 | − | 0.155602i | ||||
\(170\) | −187.182 | − | 311.100i | −1.10107 | − | 1.83000i | ||||
\(171\) | −31.9806 | − | 60.3218i | −0.187021 | − | 0.352759i | ||||
\(172\) | −38.9872 | + | 33.1160i | −0.226670 | + | 0.192535i | ||||
\(173\) | −5.44423 | − | 5.74740i | −0.0314695 | − | 0.0332220i | 0.710071 | − | 0.704130i | \(-0.248663\pi\) |
−0.741540 | + | 0.670908i | \(0.765904\pi\) | |||||||
\(174\) | −7.67184 | − | 70.5414i | −0.0440910 | − | 0.405410i | ||||
\(175\) | −3.98613 | − | 10.0044i | −0.0227779 | − | 0.0571681i | ||||
\(176\) | 44.9871i | 0.255609i | ||||||||
\(177\) | 6.88912 | − | 101.959i | 0.0389216 | − | 0.576037i | ||||
\(178\) | 363.088 | 2.03982 | ||||||||
\(179\) | −241.577 | + | 96.2529i | −1.34959 | + | 0.537726i | −0.929186 | − | 0.369611i | \(-0.879491\pi\) |
−0.420404 | + | 0.907337i | \(0.638112\pi\) | |||||||
\(180\) | 26.0816 | − | 2.83655i | 0.144898 | − | 0.0157586i | ||||
\(181\) | −61.7712 | + | 58.5127i | −0.341277 | + | 0.323275i | −0.839072 | − | 0.544020i | \(-0.816902\pi\) |
0.497795 | + | 0.867295i | \(0.334143\pi\) | |||||||
\(182\) | 11.8426 | + | 13.9422i | 0.0650694 | + | 0.0766057i | ||||
\(183\) | 33.7817 | − | 17.9099i | 0.184599 | − | 0.0978683i | ||||
\(184\) | −50.9391 | + | 30.6491i | −0.276843 | + | 0.166571i | ||||
\(185\) | −69.3520 | + | 149.902i | −0.374876 | + | 0.810281i | ||||
\(186\) | −43.4480 | + | 9.56363i | −0.233591 | + | 0.0514174i | ||||
\(187\) | −47.6112 | − | 25.2419i | −0.254605 | − | 0.134983i | ||||
\(188\) | 8.28002 | − | 0.448930i | 0.0440427 | − | 0.00238792i | ||||
\(189\) | −1.75715 | + | 2.06868i | −0.00929711 | + | 0.0109454i | ||||
\(190\) | 76.0338 | − | 345.425i | 0.400178 | − | 1.81803i | ||||
\(191\) | −3.86684 | + | 5.08675i | −0.0202453 | + | 0.0266322i | −0.806104 | − | 0.591773i | \(-0.798428\pi\) |
0.785859 | + | 0.618406i | \(0.212221\pi\) | |||||||
\(192\) | −40.2912 | − | 38.1659i | −0.209850 | − | 0.198781i | ||||
\(193\) | −9.06970 | + | 167.281i | −0.0469933 | + | 0.866740i | 0.876092 | + | 0.482144i | \(0.160142\pi\) |
−0.923085 | + | 0.384596i | \(0.874341\pi\) | |||||||
\(194\) | −131.115 | − | 78.8891i | −0.675849 | − | 0.406645i | ||||
\(195\) | 147.362 | − | 99.9140i | 0.755704 | − | 0.512380i | ||||
\(196\) | 16.8789 | + | 60.7924i | 0.0861170 | + | 0.310166i | ||||
\(197\) | −260.371 | − | 28.3170i | −1.32168 | − | 0.143741i | −0.580066 | − | 0.814570i | \(-0.696973\pi\) |
−0.741613 | + | 0.670829i | \(0.765939\pi\) | |||||||
\(198\) | 12.6766 | − | 9.63652i | 0.0640234 | − | 0.0486693i | ||||
\(199\) | −58.1043 | + | 26.8819i | −0.291981 | + | 0.135085i | −0.560412 | − | 0.828214i | \(-0.689357\pi\) |
0.268430 | + | 0.963299i | \(0.413495\pi\) | |||||||
\(200\) | −106.222 | − | 72.0201i | −0.531109 | − | 0.360101i | ||||
\(201\) | 28.1771 | − | 83.6265i | 0.140184 | − | 0.416052i | ||||
\(202\) | 46.3759 | − | 282.881i | 0.229584 | − | 1.40040i | ||||
\(203\) | 1.50455 | + | 9.17734i | 0.00741157 | + | 0.0452086i | ||||
\(204\) | −49.6498 | + | 16.7290i | −0.243381 | + | 0.0820048i | ||||
\(205\) | −17.3743 | + | 62.5767i | −0.0847528 | + | 0.305252i | ||||
\(206\) | −68.4342 | + | 171.757i | −0.332205 | + | 0.833771i | ||||
\(207\) | 26.6162 | + | 10.6049i | 0.128581 | + | 0.0512312i | ||||
\(208\) | 285.999 | + | 79.4072i | 1.37500 | + | 0.381766i | ||||
\(209\) | −16.7624 | − | 49.7489i | −0.0802026 | − | 0.238033i | ||||
\(210\) | −13.8757 | + | 2.27480i | −0.0660746 | + | 0.0108324i | ||||
\(211\) | −311.438 | − | 51.0577i | −1.47601 | − | 0.241980i | −0.630604 | − | 0.776104i | \(-0.717193\pi\) |
−0.845406 | + | 0.534125i | \(0.820641\pi\) | |||||||
\(212\) | 79.5887 | + | 26.8165i | 0.375418 | + | 0.126493i | ||||
\(213\) | −45.4968 | + | 67.1028i | −0.213600 | + | 0.315037i | ||||
\(214\) | −134.525 | − | 290.770i | −0.628620 | − | 1.35874i | ||||
\(215\) | −161.478 | − | 212.421i | −0.751060 | − | 0.988003i | ||||
\(216\) | −3.49710 | + | 32.1553i | −0.0161903 | + | 0.148867i | ||||
\(217\) | 5.61820 | − | 1.55989i | 0.0258903 | − | 0.00718841i | ||||
\(218\) | 132.094 | + | 194.824i | 0.605936 | + | 0.893688i | ||||
\(219\) | −120.164 | + | 199.714i | −0.548695 | + | 0.911938i | ||||
\(220\) | 20.1430 | + | 1.09212i | 0.0915589 | + | 0.00496418i | ||||
\(221\) | −244.510 | + | 258.127i | −1.10638 | + | 1.16799i | ||||
\(222\) | 77.5910 | + | 58.9831i | 0.349509 | + | 0.265690i | ||||
\(223\) | −275.639 | − | 60.6728i | −1.23605 | − | 0.272075i | −0.451574 | − | 0.892234i | \(-0.649137\pi\) |
−0.784477 | + | 0.620158i | \(0.787068\pi\) | |||||||
\(224\) | −7.95340 | − | 6.75567i | −0.0355062 | − | 0.0301593i | ||||
\(225\) | 3.34852 | + | 61.7599i | 0.0148823 | + | 0.274488i | ||||
\(226\) | 120.214 | − | 226.748i | 0.531920 | − | 1.00331i | ||||
\(227\) | −51.3575 | − | 233.319i | −0.226244 | − | 1.02784i | −0.943589 | − | 0.331120i | \(-0.892573\pi\) |
0.717344 | − | 0.696719i | \(-0.245358\pi\) | |||||||
\(228\) | −46.3221 | − | 21.4309i | −0.203167 | − | 0.0939951i | ||||
\(229\) | −7.88563 | − | 13.1060i | −0.0344351 | − | 0.0572315i | 0.839162 | − | 0.543882i | \(-0.183046\pi\) |
−0.873597 | + | 0.486651i | \(0.838219\pi\) | |||||||
\(230\) | 69.5236 | + | 131.135i | 0.302276 | + | 0.570154i | ||||
\(231\) | −1.59062 | + | 1.35108i | −0.00688579 | + | 0.00584885i | ||||
\(232\) | 76.2139 | + | 80.4580i | 0.328508 | + | 0.346802i | ||||
\(233\) | 26.2147 | + | 241.040i | 0.112509 | + | 1.03451i | 0.905230 | + | 0.424922i | \(0.139698\pi\) |
−0.792721 | + | 0.609585i | \(0.791336\pi\) | |||||||
\(234\) | −38.8871 | − | 97.5993i | −0.166184 | − | 0.417091i | ||||
\(235\) | 43.2541i | 0.184060i | ||||||||
\(236\) | −42.0263 | − | 63.7946i | −0.178078 | − | 0.270316i | ||||
\(237\) | −151.130 | −0.637680 | ||||||||
\(238\) | 26.0854 | − | 10.3934i | 0.109603 | − | 0.0436696i | ||||
\(239\) | −238.958 | + | 25.9882i | −0.999824 | + | 0.108737i | −0.593367 | − | 0.804932i | \(-0.702202\pi\) |
−0.406458 | + | 0.913670i | \(0.633236\pi\) | |||||||
\(240\) | −165.635 | + | 156.898i | −0.690146 | + | 0.653741i | ||||
\(241\) | 55.4874 | + | 65.3249i | 0.230238 | + | 0.271058i | 0.865134 | − | 0.501540i | \(-0.167233\pi\) |
−0.634896 | + | 0.772597i | \(0.718957\pi\) | |||||||
\(242\) | −235.176 | + | 124.682i | −0.971800 | + | 0.515216i | ||||
\(243\) | 13.3571 | − | 8.03669i | 0.0549674 | − | 0.0330728i | ||||
\(244\) | 12.0018 | − | 25.9415i | 0.0491878 | − | 0.106318i | ||||
\(245\) | −321.410 | + | 70.7477i | −1.31188 | + | 0.288766i | ||||
\(246\) | 33.8590 | + | 17.9509i | 0.137638 | + | 0.0729711i | ||||
\(247\) | −345.859 | + | 18.7519i | −1.40024 | + | 0.0759186i | ||||
\(248\) | 44.9827 | − | 52.9577i | 0.181382 | − | 0.213539i | ||||
\(249\) | −4.45192 | + | 20.2253i | −0.0178792 | + | 0.0812260i | ||||
\(250\) | 41.2242 | − | 54.2296i | 0.164897 | − | 0.216918i | ||||
\(251\) | 146.699 | + | 138.961i | 0.584460 | + | 0.553630i | 0.921757 | − | 0.387769i | \(-0.126754\pi\) |
−0.337297 | + | 0.941398i | \(0.609513\pi\) | |||||||
\(252\) | −0.109850 | + | 2.02606i | −0.000435912 | + | 0.00803993i | ||||
\(253\) | 18.8765 | + | 11.3576i | 0.0746107 | + | 0.0448918i | ||||
\(254\) | 481.246 | − | 326.293i | 1.89467 | − | 1.28462i | ||||
\(255\) | −73.1133 | − | 263.330i | −0.286719 | − | 1.03267i | ||||
\(256\) | −224.043 | − | 24.3661i | −0.875168 | − | 0.0951803i | ||||
\(257\) | 380.049 | − | 288.906i | 1.47879 | − | 1.12415i | 0.515098 | − | 0.857131i | \(-0.327755\pi\) |
0.963692 | − | 0.267016i | \(-0.0860378\pi\) | |||||||
\(258\) | −142.902 | + | 66.1135i | −0.553884 | + | 0.256254i | ||||
\(259\) | −10.5729 | − | 7.16859i | −0.0408219 | − | 0.0276780i | ||||
\(260\) | 42.4975 | − | 126.128i | 0.163452 | − | 0.485108i | ||||
\(261\) | 8.64098 | − | 52.7077i | 0.0331072 | − | 0.201945i | ||||
\(262\) | 44.0612 | + | 268.762i | 0.168173 | + | 1.02581i | ||||
\(263\) | 230.360 | − | 77.6173i | 0.875893 | − | 0.295123i | 0.154788 | − | 0.987948i | \(-0.450531\pi\) |
0.721106 | + | 0.692825i | \(0.243634\pi\) | |||||||
\(264\) | −6.65346 | + | 23.9636i | −0.0252025 | + | 0.0907712i | ||||
\(265\) | −162.153 | + | 406.972i | −0.611897 | + | 1.53574i | ||||
\(266\) | 25.4118 | + | 10.1250i | 0.0955329 | + | 0.0380638i | ||||
\(267\) | 263.343 | + | 73.1168i | 0.986303 | + | 0.273846i | ||||
\(268\) | −21.0639 | − | 62.5155i | −0.0785968 | − | 0.233267i | ||||
\(269\) | −61.9875 | + | 10.1623i | −0.230437 | + | 0.0377782i | −0.275894 | − | 0.961188i | \(-0.588974\pi\) |
0.0454572 | + | 0.998966i | \(0.485526\pi\) | |||||||
\(270\) | 79.6912 | + | 13.0647i | 0.295153 | + | 0.0483878i | ||||
\(271\) | 36.3410 | + | 12.2447i | 0.134100 | + | 0.0451834i | 0.385551 | − | 0.922686i | \(-0.374011\pi\) |
−0.251451 | + | 0.967870i | \(0.580908\pi\) | |||||||
\(272\) | 255.685 | − | 377.107i | 0.940019 | − | 1.38642i | ||||
\(273\) | 5.78170 | + | 12.4969i | 0.0211784 | + | 0.0457763i | ||||
\(274\) | 268.227 | + | 352.846i | 0.978930 | + | 1.28776i | ||||
\(275\) | −5.14184 | + | 47.2784i | −0.0186976 | + | 0.171922i | ||||
\(276\) | 20.6376 | − | 5.73000i | 0.0747739 | − | 0.0207609i | ||||
\(277\) | −97.1103 | − | 143.227i | −0.350579 | − | 0.517065i | 0.610987 | − | 0.791641i | \(-0.290773\pi\) |
−0.961565 | + | 0.274576i | \(0.911463\pi\) | |||||||
\(278\) | 72.4390 | − | 120.395i | 0.260572 | − | 0.433074i | ||||
\(279\) | −33.4382 | − | 1.81296i | −0.119850 | − | 0.00649808i | ||||
\(280\) | 15.1025 | − | 15.9435i | 0.0539376 | − | 0.0569412i | ||||
\(281\) | 189.829 | + | 144.305i | 0.675550 | + | 0.513539i | 0.885776 | − | 0.464113i | \(-0.153627\pi\) |
−0.210226 | + | 0.977653i | \(0.567420\pi\) | |||||||
\(282\) | 24.9273 | + | 5.48692i | 0.0883948 | + | 0.0194572i | ||||
\(283\) | −237.901 | − | 202.075i | −0.840638 | − | 0.714044i | 0.119722 | − | 0.992807i | \(-0.461800\pi\) |
−0.960360 | + | 0.278763i | \(0.910076\pi\) | |||||||
\(284\) | 3.28115 | + | 60.5173i | 0.0115534 | + | 0.213089i | ||||
\(285\) | 124.706 | − | 235.221i | 0.437566 | − | 0.825337i | ||||
\(286\) | −17.3657 | − | 78.8933i | −0.0607193 | − | 0.275851i | ||||
\(287\) | −4.55851 | − | 2.10899i | −0.0158833 | − | 0.00734840i | ||||
\(288\) | 30.8984 | + | 51.3536i | 0.107286 | + | 0.178311i | ||||
\(289\) | 120.271 | + | 226.856i | 0.416164 | + | 0.784968i | ||||
\(290\) | 210.886 | − | 179.128i | 0.727191 | − | 0.617682i | ||||
\(291\) | −79.2095 | − | 83.6204i | −0.272197 | − | 0.287355i | ||||
\(292\) | 18.8385 | + | 173.217i | 0.0645155 | + | 0.593210i | ||||
\(293\) | 119.190 | + | 299.145i | 0.406793 | + | 1.02097i | 0.979542 | + | 0.201242i | \(0.0644976\pi\) |
−0.572749 | + | 0.819731i | \(0.694123\pi\) | |||||||
\(294\) | 194.203i | 0.660555i | ||||||||
\(295\) | 344.149 | − | 200.883i | 1.16661 | − | 0.680958i | ||||
\(296\) | −152.225 | −0.514273 | ||||||||
\(297\) | 11.1347 | − | 4.43649i | 0.0374907 | − | 0.0149377i | ||||
\(298\) | −335.729 | + | 36.5127i | −1.12661 | + | 0.122526i | ||||
\(299\) | 105.523 | − | 99.9571i | 0.352921 | − | 0.334305i | ||||
\(300\) | 29.9331 | + | 35.2399i | 0.0997769 | + | 0.117466i | ||||
\(301\) | 18.2325 | − | 9.66627i | 0.0605732 | − | 0.0321139i | ||||
\(302\) | 313.432 | − | 188.586i | 1.03786 | − | 0.624457i | ||||
\(303\) | 90.6010 | − | 195.831i | 0.299013 | − | 0.646306i | ||||
\(304\) | 433.472 | − | 95.4144i | 1.42589 | − | 0.313863i | ||||
\(305\) | 131.729 | + | 69.8386i | 0.431900 | + | 0.228979i | ||||
\(306\) | −161.032 | + | 8.73090i | −0.526248 | + | 0.0285323i | ||||
\(307\) | 131.085 | − | 154.325i | 0.426987 | − | 0.502688i | −0.506032 | − | 0.862515i | \(-0.668888\pi\) |
0.933019 | + | 0.359826i | \(0.117164\pi\) | |||||||
\(308\) | −0.335383 | + | 1.52366i | −0.00108891 | + | 0.00494695i | ||||
\(309\) | −84.2219 | + | 110.792i | −0.272563 | + | 0.358550i | ||||
\(310\) | −125.945 | − | 119.301i | −0.406273 | − | 0.384843i | ||||
\(311\) | −13.0839 | + | 241.318i | −0.0420703 | + | 0.775942i | 0.899045 | + | 0.437856i | \(0.144262\pi\) |
−0.941115 | + | 0.338086i | \(0.890221\pi\) | |||||||
\(312\) | 140.601 | + | 84.5968i | 0.450644 | + | 0.271143i | ||||
\(313\) | −358.709 | + | 243.211i | −1.14604 | + | 0.777032i | −0.977970 | − | 0.208744i | \(-0.933062\pi\) |
−0.168066 | + | 0.985776i | \(0.553752\pi\) | |||||||
\(314\) | 117.142 | + | 421.907i | 0.373063 | + | 1.34365i | ||||
\(315\) | −10.5219 | − | 1.14433i | −0.0334029 | − | 0.00363279i | ||||
\(316\) | −89.9412 | + | 68.3715i | −0.284624 | + | 0.216366i | ||||
\(317\) | 434.902 | − | 201.207i | 1.37193 | − | 0.634723i | 0.411032 | − | 0.911621i | \(-0.365169\pi\) |
0.960899 | + | 0.276898i | \(0.0893065\pi\) | |||||||
\(318\) | 213.969 | + | 145.074i | 0.672857 | + | 0.456209i | ||||
\(319\) | 13.1131 | − | 38.9184i | 0.0411070 | − | 0.122001i | ||||
\(320\) | 35.0113 | − | 213.560i | 0.109410 | − | 0.667374i | ||||
\(321\) | −39.0152 | − | 237.982i | −0.121543 | − | 0.741377i | ||||
\(322\) | −10.8782 | + | 3.66530i | −0.0337833 | + | 0.0113829i | ||||
\(323\) | −142.237 | + | 512.292i | −0.440363 | + | 1.58604i | ||||
\(324\) | 4.31331 | − | 10.8256i | 0.0133127 | − | 0.0334123i | ||||
\(325\) | 291.490 | + | 116.140i | 0.896891 | + | 0.357354i | ||||
\(326\) | 564.163 | + | 156.639i | 1.73056 | + | 0.480488i | ||||
\(327\) | 56.5734 | + | 167.904i | 0.173007 | + | 0.513467i | ||||
\(328\) | −59.0663 | + | 9.68343i | −0.180080 | + | 0.0295227i | ||||
\(329\) | −3.30118 | − | 0.541202i | −0.0100340 | − | 0.00164499i | ||||
\(330\) | 58.8425 | + | 19.8264i | 0.178311 | + | 0.0600799i | ||||
\(331\) | 96.2822 | − | 142.006i | 0.290883 | − | 0.429020i | −0.653967 | − | 0.756523i | \(-0.726897\pi\) |
0.944850 | + | 0.327503i | \(0.106207\pi\) | |||||||
\(332\) | 6.50051 | + | 14.0506i | 0.0195798 | + | 0.0423211i | ||||
\(333\) | 44.3980 | + | 58.4046i | 0.133327 | + | 0.175389i | ||||
\(334\) | 59.1606 | − | 543.972i | 0.177127 | − | 1.62866i | ||||
\(335\) | 331.567 | − | 92.0591i | 0.989752 | − | 0.274803i | ||||
\(336\) | −9.90210 | − | 14.6045i | −0.0294705 | − | 0.0434658i | ||||
\(337\) | −173.937 | + | 289.086i | −0.516134 | + | 0.857822i | −0.999849 | − | 0.0174040i | \(-0.994460\pi\) |
0.483714 | + | 0.875226i | \(0.339287\pi\) | |||||||
\(338\) | −143.898 | − | 7.80195i | −0.425735 | − | 0.0230827i | ||||
\(339\) | 132.851 | − | 140.249i | 0.391891 | − | 0.413714i | ||||
\(340\) | −162.643 | − | 123.638i | −0.478360 | − | 0.363640i | ||||
\(341\) | −25.1465 | − | 5.53517i | −0.0737435 | − | 0.0162322i | ||||
\(342\) | −119.739 | − | 101.707i | −0.350113 | − | 0.297388i | ||||
\(343\) | −2.76369 | − | 50.9732i | −0.00805740 | − | 0.148610i | ||||
\(344\) | 115.191 | − | 217.273i | 0.334857 | − | 0.631608i | ||||
\(345\) | 24.0172 | + | 109.111i | 0.0696150 | + | 0.316264i | ||||
\(346\) | −16.5328 | − | 7.64887i | −0.0477826 | − | 0.0221066i | ||||
\(347\) | 158.914 | + | 264.118i | 0.457966 | + | 0.761146i | 0.996687 | − | 0.0813386i | \(-0.0259195\pi\) |
−0.538720 | + | 0.842485i | \(0.681092\pi\) | |||||||
\(348\) | −18.7026 | − | 35.2768i | −0.0537430 | − | 0.101370i | ||||
\(349\) | 244.166 | − | 207.396i | 0.699616 | − | 0.594259i | −0.225364 | − | 0.974275i | \(-0.572357\pi\) |
0.924980 | + | 0.380015i | \(0.124081\pi\) | |||||||
\(350\) | −17.0416 | − | 17.9906i | −0.0486903 | − | 0.0514018i | ||||
\(351\) | −8.55026 | − | 78.6184i | −0.0243597 | − | 0.223984i | ||||
\(352\) | 17.0568 | + | 42.8094i | 0.0484569 | + | 0.121618i | ||||
\(353\) | 402.347i | 1.13979i | 0.821717 | + | 0.569896i | \(0.193017\pi\) | ||||
−0.821717 | + | 0.569896i | \(0.806983\pi\) | |||||||
\(354\) | −72.1122 | − | 223.816i | −0.203707 | − | 0.632248i | ||||
\(355\) | −316.137 | −0.890527 | ||||||||
\(356\) | 189.800 | − | 75.6232i | 0.533146 | − | 0.212425i | ||||
\(357\) | 21.0124 | − | 2.28523i | 0.0588582 | − | 0.00640121i | ||||
\(358\) | −434.419 | + | 411.504i | −1.21346 | + | 1.14945i | ||||
\(359\) | 121.799 | + | 143.393i | 0.339273 | + | 0.399423i | 0.905168 | − | 0.425054i | \(-0.139745\pi\) |
−0.565895 | + | 0.824477i | \(0.691469\pi\) | |||||||
\(360\) | −111.435 | + | 59.0789i | −0.309541 | + | 0.164108i | ||||
\(361\) | −134.476 | + | 80.9118i | −0.372511 | + | 0.224132i | ||||
\(362\) | −82.2075 | + | 177.689i | −0.227093 | + | 0.490852i | ||||
\(363\) | −195.678 | + | 43.0719i | −0.539057 | + | 0.118655i | ||||
\(364\) | 9.09446 | + | 4.82158i | 0.0249848 | + | 0.0132461i | ||||
\(365\) | −907.540 | + | 49.2054i | −2.48641 | + | 0.134809i | ||||
\(366\) | 56.9583 | − | 67.0565i | 0.155624 | − | 0.183214i | ||||
\(367\) | 116.066 | − | 527.293i | 0.316256 | − | 1.43677i | −0.503472 | − | 0.864012i | \(-0.667944\pi\) |
0.819728 | − | 0.572754i | \(-0.194125\pi\) | |||||||
\(368\) | −112.718 | + | 148.279i | −0.306300 | + | 0.402931i | ||||
\(369\) | 20.9426 | + | 19.8379i | 0.0567550 | + | 0.0537612i | ||||
\(370\) | −20.5759 | + | 379.500i | −0.0556106 | + | 1.02568i | ||||
\(371\) | −29.0316 | − | 17.4677i | −0.0782522 | − | 0.0470828i | ||||
\(372\) | −20.7200 | + | 14.0485i | −0.0556990 | + | 0.0377649i | ||||
\(373\) | 98.0394 | + | 353.106i | 0.262840 | + | 0.946665i | 0.970697 | + | 0.240308i | \(0.0772486\pi\) |
−0.707856 | + | 0.706356i | \(0.750338\pi\) | |||||||
\(374\) | −123.273 | − | 13.4068i | −0.329607 | − | 0.0358470i | ||||
\(375\) | 40.8199 | − | 31.0305i | 0.108853 | − | 0.0827479i | ||||
\(376\) | −36.1802 | + | 16.7387i | −0.0962239 | + | 0.0445179i | ||||
\(377\) | −224.272 | − | 152.060i | −0.594885 | − | 0.403342i | ||||
\(378\) | −1.99422 | + | 5.91862i | −0.00527571 | + | 0.0156577i | ||||
\(379\) | 67.0223 | − | 408.818i | 0.176840 | − | 1.07867i | −0.737983 | − | 0.674819i | \(-0.764222\pi\) |
0.914823 | − | 0.403855i | \(-0.132330\pi\) | |||||||
\(380\) | −32.1986 | − | 196.403i | −0.0847333 | − | 0.516850i | ||||
\(381\) | 414.749 | − | 139.745i | 1.08858 | − | 0.366785i | ||||
\(382\) | −3.93343 | + | 14.1669i | −0.0102969 | + | 0.0370862i | ||||
\(383\) | 165.752 | − | 416.006i | 0.432773 | − | 1.08618i | −0.537306 | − | 0.843388i | \(-0.680558\pi\) |
0.970079 | − | 0.242791i | \(-0.0780629\pi\) | |||||||
\(384\) | −247.211 | − | 98.4979i | −0.643779 | − | 0.256505i | ||||
\(385\) | −7.84143 | − | 2.17716i | −0.0203673 | − | 0.00565496i | ||||
\(386\) | 123.086 | + | 365.307i | 0.318876 | + | 0.946391i | ||||
\(387\) | −116.959 | + | 19.1744i | −0.302219 | + | 0.0495462i | ||||
\(388\) | −84.9695 | − | 13.9300i | −0.218994 | − | 0.0359022i | ||||
\(389\) | 84.5520 | + | 28.4889i | 0.217357 | + | 0.0732362i | 0.425873 | − | 0.904783i | \(-0.359967\pi\) |
−0.208516 | + | 0.978019i | \(0.566863\pi\) | |||||||
\(390\) | 229.907 | − | 339.087i | 0.589504 | − | 0.869454i | ||||
\(391\) | −93.6823 | − | 202.491i | −0.239597 | − | 0.517880i | ||||
\(392\) | −183.559 | − | 241.467i | −0.468262 | − | 0.615988i | ||||
\(393\) | −22.1648 | + | 203.802i | −0.0563991 | + | 0.518581i | ||||
\(394\) | −580.690 | + | 161.228i | −1.47383 | + | 0.409208i | ||||
\(395\) | −330.720 | − | 487.776i | −0.837266 | − | 1.23488i | ||||
\(396\) | 4.61948 | − | 7.67764i | 0.0116654 | − | 0.0193880i | ||||
\(397\) | 90.8763 | + | 4.92717i | 0.228907 | + | 0.0124110i | 0.168236 | − | 0.985747i | \(-0.446193\pi\) |
0.0606716 | + | 0.998158i | \(0.480676\pi\) | |||||||
\(398\) | −101.309 | + | 106.951i | −0.254546 | + | 0.268721i | ||||
\(399\) | 16.3919 | + | 12.4608i | 0.0410825 | + | 0.0312301i | ||||
\(400\) | −392.684 | − | 86.4363i | −0.981710 | − | 0.216091i | ||||
\(401\) | −152.665 | − | 129.675i | −0.380711 | − | 0.323379i | 0.436514 | − | 0.899697i | \(-0.356213\pi\) |
−0.817225 | + | 0.576318i | \(0.804489\pi\) | |||||||
\(402\) | −10.9933 | − | 202.760i | −0.0273466 | − | 0.504378i | ||||
\(403\) | −79.5754 | + | 150.095i | −0.197458 | + | 0.372444i | ||||
\(404\) | −34.6753 | − | 157.532i | −0.0858300 | − | 0.389930i | ||||
\(405\) | 55.1681 | + | 25.5235i | 0.136218 | + | 0.0630209i | ||||
\(406\) | 11.0325 | + | 18.3362i | 0.0271737 | + | 0.0451631i | ||||
\(407\) | 26.4229 | + | 49.8388i | 0.0649211 | + | 0.122454i | ||||
\(408\) | 191.971 | − | 163.061i | 0.470516 | − | 0.399660i | ||||
\(409\) | −111.265 | − | 117.461i | −0.272041 | − | 0.287190i | 0.575633 | − | 0.817708i | \(-0.304756\pi\) |
−0.847673 | + | 0.530519i | \(0.821997\pi\) | |||||||
\(410\) | 16.1572 | + | 148.563i | 0.0394077 | + | 0.362348i | ||||
\(411\) | 123.487 | + | 309.929i | 0.300455 | + | 0.754085i | ||||
\(412\) | 104.037i | 0.252517i | ||||||||
\(413\) | 11.0255 | + | 28.7792i | 0.0266960 | + | 0.0696832i | ||||
\(414\) | 65.9274 | 0.159245 | ||||||||
\(415\) | −75.0198 | + | 29.8906i | −0.180771 | + | 0.0720256i | ||||
\(416\) | 302.262 | − | 32.8729i | 0.726590 | − | 0.0790215i | ||||
\(417\) | 76.7835 | − | 72.7332i | 0.184133 | − | 0.174420i | ||||
\(418\) | −78.2028 | − | 92.0675i | −0.187088 | − | 0.220257i | ||||
\(419\) | 151.413 | − | 80.2741i | 0.361368 | − | 0.191585i | −0.277825 | − | 0.960632i | \(-0.589614\pi\) |
0.639193 | + | 0.769047i | \(0.279269\pi\) | |||||||
\(420\) | −6.77955 | + | 4.07912i | −0.0161418 | + | 0.00971219i | ||||
\(421\) | 239.063 | − | 516.727i | 0.567846 | − | 1.22738i | −0.384716 | − | 0.923035i | \(-0.625701\pi\) |
0.952562 | − | 0.304344i | \(-0.0984373\pi\) | |||||||
\(422\) | −709.221 | + | 156.111i | −1.68062 | + | 0.369932i | ||||
\(423\) | 16.9745 | + | 8.99934i | 0.0401290 | + | 0.0212750i | ||||
\(424\) | −403.166 | + | 21.8590i | −0.950862 | + | 0.0515543i | ||||
\(425\) | 311.810 | − | 367.091i | 0.733669 | − | 0.863742i | ||||
\(426\) | −40.1030 | + | 182.190i | −0.0941386 | + | 0.427676i | ||||
\(427\) | −6.97835 | + | 9.17986i | −0.0163427 | + | 0.0214985i | ||||
\(428\) | −130.882 | − | 123.978i | −0.305800 | − | 0.289669i | ||||
\(429\) | 3.29200 | − | 60.7173i | 0.00767365 | − | 0.141532i | ||||
\(430\) | −526.097 | − | 316.542i | −1.22348 | − | 0.736145i | ||||
\(431\) | −589.127 | + | 399.438i | −1.36688 | + | 0.926771i | −0.999994 | − | 0.00349333i | \(-0.998888\pi\) |
−0.366891 | + | 0.930264i | \(0.619578\pi\) | |||||||
\(432\) | 27.1111 | + | 97.6452i | 0.0627571 | + | 0.226031i | ||||
\(433\) | 105.510 | + | 11.4749i | 0.243671 | + | 0.0265008i | 0.229140 | − | 0.973394i | \(-0.426409\pi\) |
0.0145316 | + | 0.999894i | \(0.495374\pi\) | |||||||
\(434\) | 10.6810 | − | 8.11948i | 0.0246106 | − | 0.0187085i | ||||
\(435\) | 189.024 | − | 87.4520i | 0.434539 | − | 0.201039i | ||||
\(436\) | 109.628 | + | 74.3297i | 0.251441 | + | 0.170481i | ||||
\(437\) | 69.4002 | − | 205.973i | 0.158811 | − | 0.471333i | ||||
\(438\) | −86.7673 | + | 529.257i | −0.198099 | + | 1.20835i | ||||
\(439\) | −124.571 | − | 759.850i | −0.283761 | − | 1.73087i | −0.616066 | − | 0.787695i | \(-0.711275\pi\) |
0.332305 | − | 0.943172i | \(-0.392174\pi\) | |||||||
\(440\) | −91.9029 | + | 30.9657i | −0.208870 | + | 0.0703766i | ||||
\(441\) | −39.1077 | + | 140.853i | −0.0886795 | + | 0.319395i | ||||
\(442\) | −302.822 | + | 760.026i | −0.685118 | + | 1.71952i | ||||
\(443\) | 91.5298 | + | 36.4688i | 0.206613 | + | 0.0823223i | 0.471149 | − | 0.882054i | \(-0.343839\pi\) |
−0.264536 | + | 0.964376i | \(0.585219\pi\) | |||||||
\(444\) | 52.8447 | + | 14.6722i | 0.119020 | + | 0.0330456i | ||||
\(445\) | 340.291 | + | 1009.95i | 0.764699 | + | 2.26955i | ||||
\(446\) | −640.886 | + | 105.068i | −1.43696 | + | 0.235578i | ||||
\(447\) | −250.852 | − | 41.1252i | −0.561191 | − | 0.0920026i | ||||
\(448\) | 15.8610 | + | 5.34418i | 0.0354040 | + | 0.0119290i | ||||
\(449\) | 372.410 | − | 549.263i | 0.829420 | − | 1.22330i | −0.142920 | − | 0.989734i | \(-0.545649\pi\) |
0.972340 | − | 0.233569i | \(-0.0750405\pi\) | |||||||
\(450\) | 59.7590 | + | 129.167i | 0.132798 | + | 0.287038i | ||||
\(451\) | 13.4230 | + | 17.6577i | 0.0297628 | + | 0.0391522i | ||||
\(452\) | 15.6139 | − | 143.568i | 0.0345441 | − | 0.317627i | ||||
\(453\) | 265.305 | − | 73.6615i | 0.585662 | − | 0.162608i | ||||
\(454\) | −308.502 | − | 455.006i | −0.679520 | − | 1.00222i | ||||
\(455\) | −27.6820 | + | 46.0078i | −0.0608395 | + | 0.101116i | ||||
\(456\) | 245.012 | + | 13.2842i | 0.537307 | + | 0.0291319i | ||||
\(457\) | −392.012 | + | 413.842i | −0.857794 | + | 0.905562i | −0.996399 | − | 0.0847860i | \(-0.972979\pi\) |
0.138606 | + | 0.990348i | \(0.455738\pi\) | |||||||
\(458\) | −28.0189 | − | 21.2994i | −0.0611767 | − | 0.0465053i | ||||
\(459\) | −118.553 | − | 26.0954i | −0.258284 | − | 0.0568527i | ||||
\(460\) | 63.6552 | + | 54.0692i | 0.138381 | + | 0.117542i | ||||
\(461\) | 33.5942 | + | 619.608i | 0.0728724 | + | 1.34405i | 0.774982 | + | 0.631984i | \(0.217759\pi\) |
−0.702109 | + | 0.712069i | \(0.747758\pi\) | |||||||
\(462\) | −2.24941 | + | 4.24284i | −0.00486885 | + | 0.00918363i | ||||
\(463\) | −26.8485 | − | 121.974i | −0.0579881 | − | 0.263442i | 0.938703 | − | 0.344727i | \(-0.112029\pi\) |
−0.996691 | + | 0.0812850i | \(0.974098\pi\) | |||||||
\(464\) | 315.130 | + | 145.794i | 0.679159 | + | 0.314212i | ||||
\(465\) | −67.3218 | − | 111.890i | −0.144778 | − | 0.240623i | ||||
\(466\) | 261.332 | + | 492.924i | 0.560798 | + | 1.05778i | ||||
\(467\) | 394.562 | − | 335.144i | 0.844886 | − | 0.717652i | −0.116401 | − | 0.993202i | \(-0.537136\pi\) |
0.961287 | + | 0.275550i | \(0.0888599\pi\) | |||||||
\(468\) | −40.6556 | − | 42.9195i | −0.0868708 | − | 0.0917084i | ||||
\(469\) | 2.87740 | + | 26.4573i | 0.00613519 | + | 0.0564121i | ||||
\(470\) | 36.8397 | + | 92.4607i | 0.0783823 | + | 0.196725i | ||||
\(471\) | 329.593i | 0.699773i | ||||||||
\(472\) | 301.210 | + | 210.127i | 0.638158 | + | 0.445184i | ||||
\(473\) | −91.1305 | −0.192665 | ||||||||
\(474\) | −323.058 | + | 128.718i | −0.681557 | + | 0.271557i | ||||
\(475\) | 466.455 | − | 50.7300i | 0.982010 | − | 0.106800i | ||||
\(476\) | 11.4711 | − | 10.8660i | 0.0240990 | − | 0.0228278i | ||||
\(477\) | 125.974 | + | 148.308i | 0.264097 | + | 0.310919i | ||||
\(478\) | −488.666 | + | 259.074i | −1.02231 | + | 0.541997i | ||||
\(479\) | 243.937 | − | 146.772i | 0.509263 | − | 0.306413i | −0.237632 | − | 0.971355i | \(-0.576371\pi\) |
0.746895 | + | 0.664942i | \(0.231544\pi\) | |||||||
\(480\) | −98.1293 | + | 212.103i | −0.204436 | + | 0.441881i | ||||
\(481\) | 363.482 | − | 80.0085i | 0.755680 | − | 0.166338i | ||||
\(482\) | 174.248 | + | 92.3806i | 0.361511 | + | 0.191661i | ||||
\(483\) | −8.62794 | + | 0.467793i | −0.0178632 | + | 0.000968517i | ||||
\(484\) | −96.9667 | + | 114.158i | −0.200344 | + | 0.235864i | ||||
\(485\) | 96.5516 | − | 438.638i | 0.199075 | − | 0.904409i | ||||
\(486\) | 21.7074 | − | 28.5556i | 0.0446655 | − | 0.0587565i | ||||
\(487\) | 52.3048 | + | 49.5457i | 0.107402 | + | 0.101737i | 0.739517 | − | 0.673138i | \(-0.235054\pi\) |
−0.632115 | + | 0.774875i | \(0.717813\pi\) | |||||||
\(488\) | −7.43945 | + | 137.213i | −0.0152448 | + | 0.281173i | ||||
\(489\) | 377.637 | + | 227.217i | 0.772264 | + | 0.464656i | ||||
\(490\) | −626.796 | + | 424.978i | −1.27917 | + | 0.867302i | ||||
\(491\) | −143.117 | − | 515.459i | −0.291480 | − | 1.04982i | −0.953763 | − | 0.300561i | \(-0.902826\pi\) |
0.662283 | − | 0.749254i | \(-0.269588\pi\) | |||||||
\(492\) | 21.4381 | + | 2.33154i | 0.0435735 | + | 0.00473890i | ||||
\(493\) | −331.115 | + | 251.707i | −0.671633 | + | 0.510562i | ||||
\(494\) | −723.342 | + | 334.654i | −1.46425 | + | 0.677436i | ||||
\(495\) | 38.6852 | + | 26.2292i | 0.0781519 | + | 0.0529883i | ||||
\(496\) | 69.5111 | − | 206.302i | 0.140143 | − | 0.415931i | ||||
\(497\) | 3.95556 | − | 24.1278i | 0.00795886 | − | 0.0485469i | ||||
\(498\) | 7.70946 | + | 47.0256i | 0.0154808 | + | 0.0944290i | ||||
\(499\) | 786.639 | − | 265.050i | 1.57643 | − | 0.531161i | 0.610957 | − | 0.791663i | \(-0.290785\pi\) |
0.965473 | + | 0.260502i | \(0.0838881\pi\) | |||||||
\(500\) | 10.2547 | − | 36.9340i | 0.0205093 | − | 0.0738679i | ||||
\(501\) | 152.451 | − | 382.623i | 0.304293 | − | 0.763718i | ||||
\(502\) | 431.941 | + | 172.101i | 0.860440 | + | 0.342831i | ||||
\(503\) | −377.479 | − | 104.807i | −0.750456 | − | 0.208363i | −0.128819 | − | 0.991668i | \(-0.541118\pi\) |
−0.621637 | + | 0.783305i | \(0.713532\pi\) | |||||||
\(504\) | −3.11466 | − | 9.24397i | −0.00617988 | − | 0.0183412i | ||||
\(505\) | 830.312 | − | 136.123i | 1.64418 | − | 0.269550i | ||||
\(506\) | 50.0241 | + | 8.20103i | 0.0988618 | + | 0.0162076i | ||||
\(507\) | −102.797 | − | 34.6362i | −0.202755 | − | 0.0683160i | ||||
\(508\) | 183.606 | − | 270.799i | 0.361429 | − | 0.533068i | ||||
\(509\) | −240.514 | − | 519.861i | −0.472522 | − | 1.02134i | −0.986534 | − | 0.163556i | \(-0.947704\pi\) |
0.514012 | − | 0.857783i | \(-0.328159\pi\) | |||||||
\(510\) | −380.568 | − | 500.628i | −0.746211 | − | 0.981624i | ||||
\(511\) | 7.59988 | − | 69.8798i | 0.0148726 | − | 0.136751i | ||||
\(512\) | 92.4860 | − | 25.6786i | 0.180637 | − | 0.0501536i | ||||
\(513\) | −66.3636 | − | 97.8790i | −0.129364 | − | 0.190797i | ||||
\(514\) | 566.337 | − | 941.259i | 1.10182 | − | 1.83124i | ||||
\(515\) | −541.888 | − | 29.3803i | −1.05221 | − | 0.0570491i | ||||
\(516\) | −60.9304 | + | 64.3234i | −0.118082 | + | 0.124658i | ||||
\(517\) | 11.7604 | + | 8.94002i | 0.0227474 | + | 0.0172921i | ||||
\(518\) | −28.7063 | − | 6.31873i | −0.0554176 | − | 0.0121983i | ||||
\(519\) | −10.4507 | − | 8.87691i | −0.0201362 | − | 0.0171039i | ||||
\(520\) | 34.6411 | + | 638.917i | 0.0666174 | + | 1.22869i | ||||
\(521\) | 130.945 | − | 246.989i | 0.251335 | − | 0.474067i | −0.725455 | − | 0.688270i | \(-0.758370\pi\) |
0.976789 | + | 0.214203i | \(0.0687153\pi\) | |||||||
\(522\) | −26.4202 | − | 120.028i | −0.0506135 | − | 0.229939i | ||||
\(523\) | 523.013 | + | 241.972i | 1.00003 | + | 0.462661i | 0.850431 | − | 0.526087i | \(-0.176341\pi\) |
0.149594 | + | 0.988747i | \(0.452203\pi\) | |||||||
\(524\) | 79.0096 | + | 131.315i | 0.150782 | + | 0.250601i | ||||
\(525\) | −8.73720 | − | 16.4801i | −0.0166423 | − | 0.0313907i | ||||
\(526\) | 426.314 | − | 362.115i | 0.810483 | − | 0.688431i | ||||
\(527\) | 179.333 | + | 189.320i | 0.340290 | + | 0.359240i | ||||
\(528\) | 8.42464 | + | 77.4632i | 0.0159557 | + | 0.146711i | ||||
\(529\) | −162.043 | − | 406.697i | −0.306320 | − | 0.768804i | ||||
\(530\) | 1008.06i | 1.90199i | ||||||||
\(531\) | −7.23118 | − | 176.852i | −0.0136180 | − | 0.333055i | ||||
\(532\) | 15.3925 | 0.0289333 | ||||||||
\(533\) | 135.949 | − | 54.1670i | 0.255064 | − | 0.101627i | ||||
\(534\) | 625.200 | − | 67.9946i | 1.17079 | − | 0.127331i | ||||
\(535\) | 682.715 | − | 646.702i | 1.27610 | − | 1.20879i | ||||
\(536\) | 205.315 | + | 241.716i | 0.383051 | + | 0.450962i | ||||
\(537\) | −397.945 | + | 210.977i | −0.741052 | + | 0.392881i | ||||
\(538\) | −123.850 | + | 74.5181i | −0.230205 | + | 0.138510i | ||||
\(539\) | −47.1954 | + | 102.011i | −0.0875610 | + | 0.189260i | ||||
\(540\) | 44.3787 | − | 9.76850i | 0.0821828 | − | 0.0180898i | ||||
\(541\) | −605.994 | − | 321.278i | −1.12014 | − | 0.593859i | −0.197799 | − | 0.980243i | \(-0.563379\pi\) |
−0.922338 | + | 0.386384i | \(0.873724\pi\) | |||||||
\(542\) | 88.1120 | − | 4.77729i | 0.162568 | − | 0.00881420i | ||||
\(543\) | −95.4061 | + | 112.321i | −0.175702 | + | 0.206852i | ||||
\(544\) | 100.328 | − | 455.795i | 0.184427 | − | 0.837859i | ||||
\(545\) | −418.113 | + | 550.018i | −0.767180 | + | 1.00921i | ||||
\(546\) | 23.0027 | + | 21.7893i | 0.0421296 | + | 0.0399072i | ||||
\(547\) | −14.1366 | + | 260.734i | −0.0258439 | + | 0.476663i | 0.956752 | + | 0.290905i | \(0.0939565\pi\) |
−0.982596 | + | 0.185757i | \(0.940526\pi\) | |||||||
\(548\) | 213.702 | + | 128.580i | 0.389968 | + | 0.234636i | ||||
\(549\) | 54.8146 | − | 37.1652i | 0.0998444 | − | 0.0676962i | ||||
\(550\) | 29.2760 | + | 105.442i | 0.0532290 | + | 0.191714i | ||||
\(551\) | −402.809 | − | 43.8081i | −0.731050 | − | 0.0795065i | ||||
\(552\) | −81.9724 | + | 62.3138i | −0.148501 | + | 0.112887i | ||||
\(553\) | 41.3654 | − | 19.1377i | 0.0748019 | − | 0.0346070i | ||||
\(554\) | −329.572 | − | 223.455i | −0.594895 | − | 0.403349i | ||||
\(555\) | −91.3453 | + | 271.103i | −0.164586 | + | 0.488474i | ||||
\(556\) | 12.7911 | − | 78.0223i | 0.0230056 | − | 0.140328i | ||||
\(557\) | −77.0899 | − | 470.228i | −0.138402 | − | 0.844215i | −0.961194 | − | 0.275872i | \(-0.911033\pi\) |
0.822792 | − | 0.568342i | \(-0.192415\pi\) | |||||||
\(558\) | −73.0221 | + | 24.6040i | −0.130864 | + | 0.0440932i | ||||
\(559\) | −160.855 | + | 579.348i | −0.287755 | + | 1.03640i | ||||
\(560\) | 25.4675 | − | 63.9185i | 0.0454776 | − | 0.114140i | ||||
\(561\) | −86.7086 | − | 34.5479i | −0.154561 | − | 0.0615827i | ||||
\(562\) | 528.687 | + | 146.789i | 0.940725 | + | 0.261191i | ||||
\(563\) | 262.741 | + | 779.789i | 0.466681 | + | 1.38506i | 0.880217 | + | 0.474572i | \(0.157397\pi\) |
−0.413536 | + | 0.910488i | \(0.635706\pi\) | |||||||
\(564\) | 14.1733 | − | 2.32359i | 0.0251299 | − | 0.00411984i | ||||
\(565\) | 743.377 | + | 121.870i | 1.31571 | + | 0.215700i | ||||
\(566\) | −680.648 | − | 229.337i | −1.20256 | − | 0.405189i | ||||
\(567\) | −2.63824 | + | 3.89112i | −0.00465298 | + | 0.00686264i | ||||
\(568\) | −122.341 | − | 264.435i | −0.215389 | − | 0.465555i | ||||
\(569\) | 141.501 | + | 186.141i | 0.248684 | + | 0.327138i | 0.903450 | − | 0.428694i | \(-0.141026\pi\) |
−0.654766 | + | 0.755831i | \(0.727233\pi\) | |||||||
\(570\) | 66.2355 | − | 609.025i | 0.116203 | − | 1.06847i | ||||
\(571\) | −996.753 | + | 276.747i | −1.74563 | + | 0.484671i | −0.986149 | − | 0.165861i | \(-0.946960\pi\) |
−0.759479 | + | 0.650532i | \(0.774546\pi\) | |||||||
\(572\) | −25.5095 | − | 37.6236i | −0.0445970 | − | 0.0657756i | ||||
\(573\) | −5.70573 | + | 9.48299i | −0.00995764 | + | 0.0165497i | ||||
\(574\) | −11.5406 | − | 0.625712i | −0.0201055 | − | 0.00109009i | ||||
\(575\) | −135.407 | + | 142.947i | −0.235490 | + | 0.248604i | ||||
\(576\) | −76.5246 | − | 58.1725i | −0.132855 | − | 0.100994i | ||||
\(577\) | −991.919 | − | 218.338i | −1.71910 | − | 0.378402i | −0.757493 | − | 0.652844i | \(-0.773576\pi\) |
−0.961604 | + | 0.274442i | \(0.911507\pi\) | |||||||
\(578\) | 450.308 | + | 382.495i | 0.779079 | + | 0.661756i | ||||
\(579\) | 15.7092 | + | 289.739i | 0.0271316 | + | 0.500412i | ||||
\(580\) | 72.9296 | − | 137.560i | 0.125741 | − | 0.237172i | ||||
\(581\) | −1.34261 | − | 6.09956i | −0.00231087 | − | 0.0104984i | ||||
\(582\) | −240.539 | − | 111.285i | −0.413298 | − | 0.191212i | ||||
\(583\) | 77.1374 | + | 128.203i | 0.132311 | + | 0.219903i | ||||
\(584\) | −392.363 | − | 740.076i | −0.671855 | − | 1.26725i | ||||
\(585\) | 235.032 | − | 199.638i | 0.401764 | − | 0.341261i | ||||
\(586\) | 509.566 | + | 537.942i | 0.869566 | + | 0.917990i | ||||
\(587\) | 92.9809 | + | 854.946i | 0.158400 | + | 1.45647i | 0.755947 | + | 0.654632i | \(0.227177\pi\) |
−0.597547 | + | 0.801834i | \(0.703858\pi\) | |||||||
\(588\) | 40.4483 | + | 101.517i | 0.0687896 | + | 0.172649i | ||||
\(589\) | 254.038i | 0.431304i | ||||||||
\(590\) | 564.566 | − | 722.523i | 0.956892 | − | 1.22462i | ||||
\(591\) | −453.634 | −0.767571 | ||||||||
\(592\) | −443.059 | + | 176.531i | −0.748410 | + | 0.298194i | ||||
\(593\) | 872.324 | − | 94.8710i | 1.47104 | − | 0.159985i | 0.662779 | − | 0.748815i | \(-0.269377\pi\) |
0.808257 | + | 0.588830i | \(0.200411\pi\) | |||||||
\(594\) | 20.0232 | − | 18.9670i | 0.0337092 | − | 0.0319310i | ||||
\(595\) | 53.3573 | + | 62.8171i | 0.0896761 | + | 0.105575i | ||||
\(596\) | −167.893 | + | 89.0115i | −0.281700 | + | 0.149348i | ||||
\(597\) | −95.0155 | + | 57.1689i | −0.159155 | + | 0.0957604i | ||||
\(598\) | 140.435 | − | 303.545i | 0.234841 | − | 0.507600i | ||||
\(599\) | −118.882 | + | 26.1678i | −0.198467 | + | 0.0436858i | −0.313091 | − | 0.949723i | \(-0.601365\pi\) |
0.114624 | + | 0.993409i | \(0.463434\pi\) | |||||||
\(600\) | −196.390 | − | 104.119i | −0.327317 | − | 0.173532i | ||||
\(601\) | 589.550 | − | 31.9645i | 0.980949 | − | 0.0531855i | 0.443317 | − | 0.896365i | \(-0.353802\pi\) |
0.537632 | + | 0.843179i | \(0.319319\pi\) | |||||||
\(602\) | 30.7413 | − | 36.1915i | 0.0510654 | − | 0.0601188i | ||||
\(603\) | 32.8575 | − | 149.273i | 0.0544900 | − | 0.247551i | ||||
\(604\) | 124.565 | − | 163.862i | 0.206233 | − | 0.271295i | ||||
\(605\) | −567.220 | − | 537.299i | −0.937554 | − | 0.888098i | ||||
\(606\) | 26.8802 | − | 495.776i | 0.0443568 | − | 0.818113i | ||||
\(607\) | −398.997 | − | 240.068i | −0.657326 | − | 0.395500i | 0.147458 | − | 0.989068i | \(-0.452891\pi\) |
−0.804783 | + | 0.593569i | \(0.797719\pi\) | |||||||
\(608\) | 376.312 | − | 255.146i | 0.618935 | − | 0.419648i | ||||
\(609\) | 4.30930 | + | 15.5207i | 0.00707602 | + | 0.0254855i | ||||
\(610\) | 341.069 | + | 37.0935i | 0.559129 | + | 0.0608090i | ||||
\(611\) | 77.5932 | − | 58.9849i | 0.126994 | − | 0.0965382i | ||||
\(612\) | −82.3591 | + | 38.1034i | −0.134574 | + | 0.0622604i | ||||
\(613\) | −564.401 | − | 382.673i | −0.920719 | − | 0.624263i | 0.00601453 | − | 0.999982i | \(-0.498086\pi\) |
−0.926734 | + | 0.375719i | \(0.877396\pi\) | |||||||
\(614\) | 148.770 | − | 441.534i | 0.242297 | − | 0.719111i | ||||
\(615\) | −18.1982 | + | 111.004i | −0.0295906 | + | 0.180495i | ||||
\(616\) | −1.21342 | − | 7.40155i | −0.00196984 | − | 0.0120155i | ||||
\(617\) | −895.625 | + | 301.771i | −1.45158 | + | 0.489094i | −0.931095 | − | 0.364776i | \(-0.881146\pi\) |
−0.520485 | + | 0.853871i | \(0.674249\pi\) | |||||||
\(618\) | −85.6721 | + | 308.563i | −0.138628 | + | 0.499293i | ||||
\(619\) | 103.653 | − | 260.150i | 0.167453 | − | 0.420275i | −0.821171 | − | 0.570682i | \(-0.806679\pi\) |
0.988624 | + | 0.150407i | \(0.0480583\pi\) | |||||||
\(620\) | −90.6840 | − | 36.1318i | −0.146264 | − | 0.0582771i | ||||
\(621\) | 47.8163 | + | 13.2761i | 0.0769988 | + | 0.0213786i | ||||
\(622\) | 177.563 | + | 526.989i | 0.285471 | + | 0.847249i | ||||
\(623\) | −81.3377 | + | 13.3346i | −0.130558 | + | 0.0214039i | ||||
\(624\) | 507.331 | + | 83.1728i | 0.813031 | + | 0.133290i | ||||
\(625\) | 677.919 | + | 228.418i | 1.08467 | + | 0.365468i | ||||
\(626\) | −559.639 | + | 825.406i | −0.893992 | + | 1.31854i | ||||
\(627\) | −38.1794 | − | 82.5234i | −0.0608922 | − | 0.131616i | ||||
\(628\) | 149.108 | + | 196.149i | 0.237434 | + | 0.312339i | ||||
\(629\) | 61.7685 | − | 567.952i | 0.0982011 | − | 0.902944i | ||||
\(630\) | −23.4665 | + | 6.51543i | −0.0372484 | + | 0.0103420i | ||||
\(631\) | −514.001 | − | 758.095i | −0.814582 | − | 1.20142i | −0.976692 | − | 0.214646i | \(-0.931140\pi\) |
0.162110 | − | 0.986773i | \(-0.448170\pi\) | |||||||
\(632\) | 280.019 | − | 465.396i | 0.443068 | − | 0.736385i | ||||
\(633\) | −545.826 | − | 29.5938i | −0.862284 | − | 0.0467517i | ||||
\(634\) | 758.285 | − | 800.512i | 1.19603 | − | 1.26264i | ||||
\(635\) | 1358.63 | + | 1032.80i | 2.13958 | + | 1.62646i | ||||
\(636\) | 142.065 | + | 31.2710i | 0.223373 | + | 0.0491682i | ||||
\(637\) | 565.215 | + | 480.098i | 0.887308 | + | 0.753686i | ||||
\(638\) | −5.11611 | − | 94.3611i | −0.00801898 | − | 0.147901i | ||||
\(639\) | −65.7747 | + | 124.064i | −0.102934 | + | 0.194154i | ||||
\(640\) | −223.071 | − | 1013.42i | −0.348549 | − | 1.58347i | ||||
\(641\) | −739.556 | − | 342.155i | −1.15375 | − | 0.533784i | −0.252723 | − | 0.967539i | \(-0.581326\pi\) |
−0.901031 | + | 0.433755i | \(0.857188\pi\) | |||||||
\(642\) | −286.090 | − | 475.485i | −0.445623 | − | 0.740630i | ||||
\(643\) | 508.104 | + | 958.387i | 0.790209 | + | 1.49049i | 0.869659 | + | 0.493653i | \(0.164339\pi\) |
−0.0794498 | + | 0.996839i | \(0.525316\pi\) | |||||||
\(644\) | −4.92307 | + | 4.18169i | −0.00764451 | + | 0.00649331i | ||||
\(645\) | −317.828 | − | 335.527i | −0.492756 | − | 0.520197i | ||||
\(646\) | 132.273 | + | 1216.23i | 0.204757 | + | 1.88271i | ||||
\(647\) | 152.603 | + | 383.005i | 0.235863 | + | 0.591970i | 0.998494 | − | 0.0548630i | \(-0.0174722\pi\) |
−0.762631 | + | 0.646833i | \(0.776093\pi\) | |||||||
\(648\) | 56.0230i | 0.0864552i | ||||||||
\(649\) | 16.5127 | − | 135.091i | 0.0254433 | − | 0.208152i | ||||
\(650\) | 722.010 | 1.11078 | ||||||||
\(651\) | 9.38185 | − | 3.73807i | 0.0144114 | − | 0.00574204i | ||||
\(652\) | 327.534 | − | 35.6215i | 0.502353 | − | 0.0546342i | ||||
\(653\) | −876.942 | + | 830.683i | −1.34294 | + | 1.27210i | −0.409997 | + | 0.912087i | \(0.634470\pi\) |
−0.932946 | + | 0.360016i | \(0.882771\pi\) | |||||||
\(654\) | 263.937 | + | 310.730i | 0.403573 | + | 0.475123i | ||||
\(655\) | −706.280 | + | 374.446i | −1.07829 | + | 0.571673i | ||||
\(656\) | −160.686 | + | 96.6817i | −0.244949 | + | 0.147381i | ||||
\(657\) | −169.510 | + | 366.391i | −0.258007 | + | 0.557672i | ||||
\(658\) | −7.51761 | + | 1.65475i | −0.0114249 | + | 0.00251482i | ||||
\(659\) | 420.207 | + | 222.780i | 0.637644 | + | 0.338057i | 0.755669 | − | 0.654953i | \(-0.227312\pi\) |
−0.118026 | + | 0.993011i | \(0.537656\pi\) | |||||||
\(660\) | 34.8886 | − | 1.89161i | 0.0528616 | − | 0.00286607i | ||||
\(661\) | 564.729 | − | 664.850i | 0.854356 | − | 1.00583i | −0.145509 | − | 0.989357i | \(-0.546482\pi\) |
0.999864 | − | 0.0164683i | \(-0.00524225\pi\) | |||||||
\(662\) | 84.8676 | − | 385.558i | 0.128199 | − | 0.582413i | ||||
\(663\) | −372.683 | + | 490.256i | −0.562116 | + | 0.739451i | ||||
\(664\) | −54.0338 | − | 51.1835i | −0.0813762 | − | 0.0770837i | ||||
\(665\) | −4.34687 | + | 80.1734i | −0.00653665 | + | 0.120561i | ||||
\(666\) | 144.649 | + | 87.0326i | 0.217191 | + | 0.130680i | ||||
\(667\) | 140.734 | − | 95.4199i | 0.210995 | − | 0.143058i | ||||
\(668\) | −82.3720 | − | 296.677i | −0.123311 | − | 0.444127i | ||||
\(669\) | −485.985 | − | 52.8540i | −0.726434 | − | 0.0790045i | ||||
\(670\) | 630.356 | − | 479.184i | 0.940829 | − | 0.715200i | ||||
\(671\) | 46.2151 | − | 21.3814i | 0.0688750 | − | 0.0318650i | ||||
\(672\) | −14.9600 | − | 10.1432i | −0.0222620 | − | 0.0150940i | ||||
\(673\) | 163.686 | − | 485.804i | 0.243219 | − | 0.721849i | −0.754621 | − | 0.656161i | \(-0.772179\pi\) |
0.997840 | − | 0.0656878i | \(-0.0209241\pi\) | |||||||
\(674\) | −125.595 | + | 766.098i | −0.186343 | + | 1.13664i | ||||
\(675\) | 17.3314 | + | 105.717i | 0.0256762 | + | 0.156618i | ||||
\(676\) | −76.8462 | + | 25.8925i | −0.113678 | + | 0.0383025i | ||||
\(677\) | 356.967 | − | 1285.68i | 0.527278 | − | 1.89908i | 0.0999359 | − | 0.994994i | \(-0.468136\pi\) |
0.427342 | − | 0.904090i | \(-0.359450\pi\) | |||||||
\(678\) | 164.534 | − | 412.948i | 0.242675 | − | 0.609068i | ||||
\(679\) | 32.2691 | + | 12.8572i | 0.0475245 | + | 0.0189355i | ||||
\(680\) | 946.376 | + | 262.760i | 1.39173 | + | 0.386412i | ||||
\(681\) | −132.126 | − | 392.135i | −0.194017 | − | 0.575822i | ||||
\(682\) | −58.4680 | + | 9.58534i | −0.0857302 | + | 0.0140547i | ||||
\(683\) | 757.534 | + | 124.191i | 1.10913 | + | 0.181832i | 0.688383 | − | 0.725347i | \(-0.258321\pi\) |
0.420744 | + | 0.907179i | \(0.361769\pi\) | |||||||
\(684\) | −83.7752 | − | 28.2271i | −0.122478 | − | 0.0412678i | ||||
\(685\) | −730.074 | + | 1076.78i | −1.06580 | + | 1.57194i | ||||
\(686\) | −49.3218 | − | 106.607i | −0.0718977 | − | 0.155404i | ||||
\(687\) | −16.0326 | − | 21.0905i | −0.0233371 | − | 0.0306994i | ||||
\(688\) | 83.3042 | − | 765.969i | 0.121082 | − | 1.11333i | ||||
\(689\) | 951.190 | − | 264.097i | 1.38054 | − | 0.383304i | ||||
\(690\) | 144.270 | + | 212.782i | 0.209087 | + | 0.308380i | ||||
\(691\) | 576.890 | − | 958.799i | 0.834863 | − | 1.38755i | −0.0854382 | − | 0.996343i | \(-0.527229\pi\) |
0.920301 | − | 0.391210i | \(-0.127943\pi\) | |||||||
\(692\) | −10.2354 | − | 0.554947i | −0.0147910 | − | 0.000801947i | ||||
\(693\) | −2.48587 | + | 2.62430i | −0.00358711 | + | 0.00378687i | ||||
\(694\) | 564.648 | + | 429.234i | 0.813614 | + | 0.618493i | ||||
\(695\) | 402.774 | + | 88.6574i | 0.579532 | + | 0.127565i | ||||
\(696\) | 146.300 | + | 124.268i | 0.210201 | + | 0.178546i | ||||
\(697\) | −12.1615 | − | 224.306i | −0.0174484 | − | 0.321817i | ||||
\(698\) | 345.293 | − | 651.291i | 0.494689 | − | 0.933082i | ||||
\(699\) | 90.2780 | + | 410.137i | 0.129153 | + | 0.586748i | ||||
\(700\) | −12.6554 | − | 5.85499i | −0.0180791 | − | 0.00836427i | ||||
\(701\) | 144.517 | + | 240.189i | 0.206158 | + | 0.342637i | 0.942635 | − | 0.333825i | \(-0.108340\pi\) |
−0.736477 | + | 0.676463i | \(0.763512\pi\) | |||||||
\(702\) | −85.2368 | − | 160.774i | −0.121420 | − | 0.229022i | ||||
\(703\) | 424.179 | − | 360.301i | 0.603385 | − | 0.512519i | ||||
\(704\) | −50.8286 | − | 53.6591i | −0.0721997 | − | 0.0762203i | ||||
\(705\) | 8.10009 | + | 74.4791i | 0.0114895 | + | 0.105644i | ||||
\(706\) | 342.680 | + | 860.063i | 0.485383 | + | 1.21822i | ||||
\(707\) | 65.0732i | 0.0920413i | ||||||||
\(708\) | −84.3117 | − | 101.978i | −0.119084 | − | 0.144036i | ||||
\(709\) | 50.6855 | 0.0714887 | 0.0357443 | − | 0.999361i | \(-0.488620\pi\) | ||||
0.0357443 | + | 0.999361i | \(0.488620\pi\) | |||||||
\(710\) | −675.780 | + | 269.255i | −0.951803 | + | 0.379233i | ||||
\(711\) | −260.231 | + | 28.3018i | −0.366006 | + | 0.0398056i | ||||
\(712\) | −713.090 | + | 675.475i | −1.00153 | + | 0.948700i | ||||
\(713\) | −69.0147 | − | 81.2504i | −0.0967948 | − | 0.113956i | ||||
\(714\) | 42.9700 | − | 22.7813i | 0.0601821 | − | 0.0319065i | ||||
\(715\) | 203.170 | − | 122.244i | 0.284154 | − | 0.170970i | ||||
\(716\) | −141.380 | + | 305.589i | −0.197459 | + | 0.426800i | ||||
\(717\) | −406.594 | + | 89.4982i | −0.567077 | + | 0.124823i | ||||
\(718\) | 382.488 | + | 202.782i | 0.532713 | + | 0.282426i | ||||
\(719\) | −528.834 | + | 28.6726i | −0.735514 | + | 0.0398784i | −0.418090 | − | 0.908406i | \(-0.637300\pi\) |
−0.317423 | + | 0.948284i | \(0.602818\pi\) | |||||||
\(720\) | −255.825 | + | 301.180i | −0.355312 | + | 0.418305i | ||||
\(721\) | 9.02251 | − | 40.9897i | 0.0125139 | − | 0.0568511i | ||||
\(722\) | −218.546 | + | 287.492i | −0.302695 | + | 0.398189i | ||||
\(723\) | 107.777 | + | 102.092i | 0.149069 | + | 0.141206i | ||||
\(724\) | −5.96439 | + | 110.007i | −0.00823810 | + | 0.151943i | ||||
\(725\) | 314.516 | + | 189.238i | 0.433815 | + | 0.261018i | ||||
\(726\) | −381.599 | + | 258.731i | −0.525619 | + | 0.356378i | ||||
\(727\) | 221.987 | + | 799.524i | 0.305346 | + | 1.09976i | 0.943914 | + | 0.330192i | \(0.107114\pi\) |
−0.638567 | + | 0.769566i | \(0.720473\pi\) | |||||||
\(728\) | −49.1960 | − | 5.35039i | −0.0675770 | − | 0.00734944i | ||||
\(729\) | 21.4945 | − | 16.3397i | 0.0294849 | − | 0.0224139i | ||||
\(730\) | −1898.06 | + | 878.138i | −2.60009 | + | 1.20293i | ||||
\(731\) | 763.907 | + | 517.942i | 1.04502 | + | 0.708538i | ||||
\(732\) | 15.8079 | − | 46.9161i | 0.0215955 | − | 0.0640931i | ||||
\(733\) | 126.659 | − | 772.589i | 0.172796 | − | 1.05401i | −0.747924 | − | 0.663785i | \(-0.768949\pi\) |
0.920720 | − | 0.390224i | \(-0.127603\pi\) | |||||||
\(734\) | −200.993 | − | 1226.00i | −0.273833 | − | 1.67031i | ||||
\(735\) | −540.187 | + | 182.010i | −0.734948 | + | 0.247633i | ||||
\(736\) | −51.0423 | + | 183.838i | −0.0693509 | + | 0.249780i | ||||
\(737\) | 43.5002 | − | 109.177i | 0.0590234 | − | 0.148138i | ||||
\(738\) | 61.6633 | + | 24.5689i | 0.0835546 | + | 0.0332912i | ||||
\(739\) | −505.760 | − | 140.424i | −0.684384 | − | 0.190018i | −0.0921027 | − | 0.995750i | \(-0.529359\pi\) |
−0.592281 | + | 0.805731i | \(0.701773\pi\) | |||||||
\(740\) | 68.2857 | + | 202.665i | 0.0922780 | + | 0.273871i | ||||
\(741\) | −592.021 | + | 97.0570i | −0.798949 | + | 0.130981i | ||||
\(742\) | −76.9357 | − | 12.6130i | −0.103687 | − | 0.0169986i | ||||
\(743\) | −867.796 | − | 292.394i | −1.16796 | − | 0.393532i | −0.332512 | − | 0.943099i | \(-0.607896\pi\) |
−0.835450 | + | 0.549567i | \(0.814793\pi\) | |||||||
\(744\) | 67.5383 | − | 99.6116i | 0.0907773 | − | 0.133887i | ||||
\(745\) | −416.212 | − | 899.626i | −0.558673 | − | 1.20755i | ||||
\(746\) | 510.313 | + | 671.305i | 0.684065 | + | 0.899872i | ||||
\(747\) | −3.87821 | + | 35.6596i | −0.00519172 | + | 0.0477370i | ||||
\(748\) | −67.2319 | + | 18.6668i | −0.0898822 | + | 0.0249557i | ||||
\(749\) | 40.8145 | + | 60.1969i | 0.0544920 | + | 0.0803697i | ||||
\(750\) | 60.8285 | − | 101.098i | 0.0811046 | − | 0.134797i | ||||
\(751\) | −1238.50 | − | 67.1494i | −1.64913 | − | 0.0894133i | −0.794032 | − | 0.607877i | \(-0.792022\pi\) |
−0.855100 | + | 0.518463i | \(0.826504\pi\) | |||||||
\(752\) | −85.8930 | + | 90.6762i | −0.114219 | + | 0.120580i | ||||
\(753\) | 278.624 | + | 211.805i | 0.370019 | + | 0.281281i | ||||
\(754\) | −608.917 | − | 134.033i | −0.807582 | − | 0.177762i | ||||
\(755\) | 818.315 | + | 695.083i | 1.08386 | + | 0.920639i | ||||
\(756\) | 0.190266 | + | 3.50924i | 0.000251674 | + | 0.00464185i | ||||
\(757\) | −492.506 | + | 928.966i | −0.650603 | + | 1.22717i | 0.310394 | + | 0.950608i | \(0.399539\pi\) |
−0.960997 | + | 0.276559i | \(0.910806\pi\) | |||||||
\(758\) | −204.924 | − | 930.979i | −0.270348 | − | 1.22820i | ||||
\(759\) | 34.6303 | + | 16.0217i | 0.0456263 | + | 0.0211090i | ||||
\(760\) | 493.288 | + | 819.851i | 0.649063 | + | 1.07875i | ||||
\(761\) | −273.511 | − | 515.896i | −0.359409 | − | 0.677918i | 0.636200 | − | 0.771524i | \(-0.280505\pi\) |
−0.995609 | + | 0.0936062i | \(0.970161\pi\) | |||||||
\(762\) | 767.552 | − | 651.965i | 1.00729 | − | 0.855597i | ||||
\(763\) | −36.7463 | − | 38.7926i | −0.0481603 | − | 0.0508422i | ||||
\(764\) | 0.894505 | + | 8.22484i | 0.00117082 | + | 0.0107655i | ||||
\(765\) | −175.207 | − | 439.736i | −0.229029 | − | 0.574818i | ||||
\(766\) | − | 1030.43i | − | 1.34521i | ||||||
\(767\) | −829.672 | − | 343.427i | −1.08171 | − | 0.447753i | ||||
\(768\) | −390.342 | −0.508258 | ||||||||
\(769\) | −187.528 | + | 74.7180i | −0.243860 | + | 0.0971626i | −0.488866 | − | 0.872359i | \(-0.662589\pi\) |
0.245006 | + | 0.969521i | \(0.421210\pi\) | |||||||
\(770\) | −18.6163 | + | 2.02464i | −0.0241770 | + | 0.00262940i | ||||
\(771\) | 600.303 | − | 568.637i | 0.778603 | − | 0.737532i | ||||
\(772\) | 140.427 | + | 165.324i | 0.181901 | + | 0.214150i | ||||
\(773\) | −837.466 | + | 443.996i | −1.08340 | + | 0.574381i | −0.911736 | − | 0.410776i | \(-0.865258\pi\) |
−0.171660 | + | 0.985156i | \(0.554913\pi\) | |||||||
\(774\) | −233.682 | + | 140.602i | −0.301914 | + | 0.181656i | ||||
\(775\) | 96.6309 | − | 208.864i | 0.124685 | − | 0.269502i | ||||
\(776\) | 404.266 | − | 88.9857i | 0.520961 | − | 0.114672i | ||||
\(777\) | −19.5479 | − | 10.3636i | −0.0251581 | − | 0.0133380i | ||||
\(778\) | 205.004 | − | 11.1150i | 0.263501 | − | 0.0142866i | ||||
\(779\) | 141.670 | − | 166.787i | 0.181862 | − | 0.214104i | ||||
\(780\) | 49.5567 | − | 225.138i | 0.0635342 | − | 0.288639i | ||||
\(781\) | −65.3412 | + | 85.9548i | −0.0836635 | + | 0.110057i | ||||
\(782\) | −372.719 | − | 353.058i | −0.476623 | − | 0.451481i | ||||
\(783\) | 5.00845 | − | 92.3754i | 0.00639648 | − | 0.117976i | ||||
\(784\) | −814.281 | − | 489.936i | −1.03862 | − | 0.624919i | ||||
\(785\) | −1063.77 | + | 721.254i | −1.35512 | + | 0.918794i | ||||
\(786\) | 126.199 | + | 454.529i | 0.160559 | + | 0.578281i | ||||
\(787\) | −582.245 | − | 63.3229i | −0.739828 | − | 0.0804612i | −0.269559 | − | 0.962984i | \(-0.586878\pi\) |
−0.470270 | + | 0.882523i | \(0.655843\pi\) | |||||||
\(788\) | −269.969 | + | 205.225i | −0.342600 | + | 0.260438i | ||||
\(789\) | 382.121 | − | 176.788i | 0.484311 | − | 0.224066i | ||||
\(790\) | −1122.39 | − | 761.002i | −1.42075 | − | 0.963293i | ||||
\(791\) | −18.6025 | + | 55.2102i | −0.0235177 | + | 0.0697980i | ||||
\(792\) | −6.96897 | + | 42.5088i | −0.00879921 | + | 0.0536728i | ||||
\(793\) | −54.3543 | − | 331.546i | −0.0685426 | − | 0.418091i | ||||
\(794\) | 198.455 | − | 66.8673i | 0.249943 | − | 0.0842157i | ||||
\(795\) | −202.997 | + | 731.131i | −0.255343 | + | 0.919661i | ||||
\(796\) | −30.6827 | + | 77.0078i | −0.0385461 | + | 0.0967435i | ||||
\(797\) | −171.668 | − | 68.3986i | −0.215392 | − | 0.0858201i | 0.259946 | − | 0.965623i | \(-0.416295\pi\) |
−0.475339 | + | 0.879803i | \(0.657674\pi\) | |||||||
\(798\) | 45.6525 | + | 12.6754i | 0.0572087 | + | 0.0158839i | ||||
\(799\) | −47.7715 | − | 141.781i | −0.0597891 | − | 0.177448i | ||||
\(800\) | −406.447 | + | 66.6337i | −0.508059 | + | 0.0832921i | ||||
\(801\) | 467.142 | + | 76.5840i | 0.583199 | + | 0.0956105i | ||||
\(802\) | −436.784 | − | 147.170i | −0.544619 | − | 0.183504i | ||||
\(803\) | −174.197 | + | 256.922i | −0.216933 | + | 0.319953i | ||||
\(804\) | −47.9771 | − | 103.701i | −0.0596730 | − | 0.128981i | ||||
\(805\) | −20.3905 | − | 26.8232i | −0.0253298 | − | 0.0333207i | ||||
\(806\) | −42.2650 | + | 388.620i | −0.0524380 | + | 0.482159i | ||||
\(807\) | −104.833 | + | 29.1067i | −0.129905 | + | 0.0360678i | ||||
\(808\) | 435.180 | + | 641.842i | 0.538589 | + | 0.794359i | ||||
\(809\) | 75.2779 | − | 125.113i | 0.0930505 | − | 0.154651i | −0.806836 | − | 0.590776i | \(-0.798822\pi\) |
0.899886 | + | 0.436125i | \(0.143649\pi\) | |||||||
\(810\) | 139.667 | + | 7.57251i | 0.172428 | + | 0.00934878i | ||||
\(811\) | 154.834 | − | 163.456i | 0.190917 | − | 0.201549i | −0.623509 | − | 0.781816i | \(-0.714293\pi\) |
0.814426 | + | 0.580268i | \(0.197052\pi\) | |||||||
\(812\) | 9.58615 | + | 7.28720i | 0.0118056 | + | 0.00897439i | ||||
\(813\) | 64.8685 | + | 14.2786i | 0.0797891 | + | 0.0175629i | ||||
\(814\) | 98.9300 | + | 84.0319i | 0.121536 | + | 0.103233i | ||||
\(815\) | 93.0417 | + | 1716.05i | 0.114162 | + | 2.10559i | ||||
\(816\) | 369.644 | − | 697.222i | 0.452995 | − | 0.854439i | ||||
\(817\) | 193.281 | + | 878.084i | 0.236574 | + | 1.07477i | ||||
\(818\) | −337.883 | − | 156.321i | −0.413060 | − | 0.191102i | ||||
\(819\) | 12.2958 | + | 20.4357i | 0.0150131 | + | 0.0249520i | ||||
\(820\) | 39.3883 | + | 74.2942i | 0.0480345 | + | 0.0906027i | ||||
\(821\) | 904.399 | − | 768.203i | 1.10158 | − | 0.935692i | 0.103322 | − | 0.994648i | \(-0.467053\pi\) |
0.998261 | + | 0.0589556i | \(0.0187770\pi\) | |||||||
\(822\) | 527.936 | + | 557.335i | 0.642257 | + | 0.678023i | ||||
\(823\) | −55.9338 | − | 514.303i | −0.0679633 | − | 0.624912i | −0.977741 | − | 0.209816i | \(-0.932714\pi\) |
0.909778 | − | 0.415096i | \(-0.136252\pi\) | |||||||
\(824\) | −185.128 | − | 464.636i | −0.224670 | − | 0.563878i | ||||
\(825\) | 82.3715i | 0.0998442i | ||||||||
\(826\) | 48.0796 | + | 52.1284i | 0.0582077 | + | 0.0631095i | ||||
\(827\) | −1074.68 | −1.29949 | −0.649747 | − | 0.760151i | \(-0.725125\pi\) | ||||
−0.649747 | + | 0.760151i | \(0.725125\pi\) | |||||||
\(828\) | 34.4628 | − | 13.7312i | 0.0416217 | − | 0.0165836i | ||||
\(829\) | 28.3498 | − | 3.08322i | 0.0341975 | − | 0.00371921i | −0.0910043 | − | 0.995851i | \(-0.529008\pi\) |
0.125202 | + | 0.992131i | \(0.460042\pi\) | |||||||
\(830\) | −134.906 | + | 127.789i | −0.162537 | + | 0.153963i | ||||
\(831\) | −194.036 | − | 228.437i | −0.233497 | − | 0.274894i | ||||
\(832\) | −430.848 | + | 228.421i | −0.517846 | + | 0.274545i | ||||
\(833\) | 975.400 | − | 586.879i | 1.17095 | − | 0.704536i | ||||
\(834\) | 102.187 | − | 220.873i | 0.122526 | − | 0.264835i | ||||
\(835\) | 1568.53 | − | 345.260i | 1.87848 | − | 0.413485i | ||||
\(836\) | −60.0552 | − | 31.8393i | −0.0718364 | − | 0.0380853i | ||||
\(837\) | −57.9166 | + | 3.14015i | −0.0691954 | + | 0.00375167i | ||||
\(838\) | 255.293 | − | 300.554i | 0.304646 | − | 0.358657i | ||||
\(839\) | 75.0870 | − | 341.124i | 0.0894958 | − | 0.406584i | −0.910480 | − | 0.413553i | \(-0.864288\pi\) |
0.999976 | + | 0.00696979i | \(0.00221857\pi\) | |||||||
\(840\) | 23.0193 | − | 30.2813i | 0.0274039 | − | 0.0360492i | ||||
\(841\) | 380.441 | + | 360.372i | 0.452367 | + | 0.428505i | ||||
\(842\) | 70.9272 | − | 1308.17i | 0.0842365 | − | 1.55365i | ||||
\(843\) | 353.890 | + | 212.929i | 0.419799 | + | 0.252585i | ||||
\(844\) | −338.223 | + | 229.321i | −0.400738 | + | 0.271707i | ||||
\(845\) | −113.162 | − | 407.573i | −0.133920 | − | 0.482335i | ||||
\(846\) | 43.9499 | + | 4.77983i | 0.0519502 | + | 0.00564992i | ||||
\(847\) | 48.1042 | − | 36.5679i | 0.0567936 | − | 0.0431734i | ||||
\(848\) | −1148.09 | + | 531.162i | −1.35388 | + | 0.626370i | ||||
\(849\) | −447.482 | − | 303.401i | −0.527070 | − | 0.357362i | ||||
\(850\) | 353.877 | − | 1050.27i | 0.416325 | − | 1.23561i | ||||
\(851\) | −37.7843 | + | 230.474i | −0.0443999 | + | 0.270827i | ||||
\(852\) | 16.9828 | + | 103.590i | 0.0199328 | + | 0.121585i | ||||
\(853\) | 526.733 | − | 177.477i | 0.617506 | − | 0.208062i | 0.00687386 | − | 0.999976i | \(-0.497812\pi\) |
0.610632 | + | 0.791914i | \(0.290915\pi\) | |||||||
\(854\) | −7.09851 | + | 25.5665i | −0.00831207 | + | 0.0299374i | ||||
\(855\) | 170.682 | − | 428.380i | 0.199628 | − | 0.501029i | ||||
\(856\) | 805.139 | + | 320.797i | 0.940583 | + | 0.374763i | ||||
\(857\) | 1003.03 | + | 278.491i | 1.17040 | + | 0.324960i | 0.797737 | − | 0.603006i | \(-0.206030\pi\) |
0.372665 | + | 0.927966i | \(0.378444\pi\) | |||||||
\(858\) | −44.6762 | − | 132.594i | −0.0520701 | − | 0.154539i | ||||
\(859\) | −540.334 | + | 88.5832i | −0.629026 | + | 0.103124i | −0.467859 | − | 0.883803i | \(-0.654974\pi\) |
−0.161168 | + | 0.986927i | \(0.551526\pi\) | |||||||
\(860\) | −340.940 | − | 55.8943i | −0.396442 | − | 0.0649933i | ||||
\(861\) | −8.24423 | − | 2.77780i | −0.00957518 | − | 0.00322625i | ||||
\(862\) | −919.125 | + | 1355.61i | −1.06627 | + | 1.57263i | ||||
\(863\) | −251.786 | − | 544.227i | −0.291757 | − | 0.630622i | 0.705163 | − | 0.709045i | \(-0.250874\pi\) |
−0.996920 | + | 0.0784226i | \(0.975012\pi\) | |||||||
\(864\) | 62.8207 | + | 82.6393i | 0.0727092 | + | 0.0956473i | ||||
\(865\) | 5.78100 | − | 53.1554i | 0.00668323 | − | 0.0614513i | ||||
\(866\) | 235.312 | − | 65.3341i | 0.271723 | − | 0.0754436i | ||||
\(867\) | 249.578 | + | 368.099i | 0.287863 | + | 0.424567i | ||||
\(868\) | 3.89226 | − | 6.46898i | 0.00448417 | − | 0.00745274i | ||||
\(869\) | −200.977 | − | 10.8967i | −0.231274 | − | 0.0125393i | ||||
\(870\) | 329.578 | − | 347.932i | 0.378826 | − | 0.399922i | ||||
\(871\) | −617.296 | − | 469.256i | −0.708721 | − | 0.538756i | ||||
\(872\) | −621.870 | − | 136.884i | −0.713154 | − | 0.156977i | ||||
\(873\) | −152.050 | − | 129.152i | −0.174170 | − | 0.147941i | ||||
\(874\) | −27.0766 | − | 499.399i | −0.0309801 | − | 0.571395i | ||||
\(875\) | −7.24330 | + | 13.6623i | −0.00827805 | + | 0.0156141i | ||||
\(876\) | 64.8760 | + | 294.735i | 0.0740594 | + | 0.336455i | ||||
\(877\) | 881.853 | + | 407.988i | 1.00553 | + | 0.465209i | 0.852341 | − | 0.522987i | \(-0.175182\pi\) |
0.153193 | + | 0.988196i | \(0.451045\pi\) | |||||||
\(878\) | −913.453 | − | 1518.17i | −1.04038 | − | 1.72912i | ||||
\(879\) | 261.253 | + | 492.776i | 0.297217 | + | 0.560610i | ||||
\(880\) | −231.579 | + | 196.705i | −0.263158 | + | 0.223528i | ||||
\(881\) | −583.798 | − | 616.308i | −0.662654 | − | 0.699555i | 0.304853 | − | 0.952399i | \(-0.401393\pi\) |
−0.967507 | + | 0.252844i | \(0.918634\pi\) | |||||||
\(882\) | 36.3680 | + | 334.398i | 0.0412336 | + | 0.379136i | ||||
\(883\) | 556.322 | + | 1396.26i | 0.630036 | + | 1.58127i | 0.802761 | + | 0.596301i | \(0.203364\pi\) |
−0.172724 | + | 0.984970i | \(0.555257\pi\) | |||||||
\(884\) | 460.366i | 0.520776i | ||||||||
\(885\) | 554.970 | − | 410.347i | 0.627085 | − | 0.463669i | ||||
\(886\) | 226.716 | 0.255887 | ||||||||
\(887\) | −1263.62 | + | 503.474i | −1.42460 | + | 0.567615i | −0.949907 | − | 0.312534i | \(-0.898822\pi\) |
−0.474698 | + | 0.880149i | \(0.657443\pi\) | |||||||
\(888\) | −262.115 | + | 28.5068i | −0.295175 | + | 0.0321022i | ||||
\(889\) | −95.8238 | + | 90.7691i | −0.107788 | + | 0.102103i | ||||
\(890\) | 1587.59 | + | 1869.05i | 1.78381 | + | 2.10006i | ||||
\(891\) | 18.3421 | − | 9.72436i | 0.0205860 | − | 0.0109140i | ||||
\(892\) | −313.132 | + | 188.406i | −0.351045 | + | 0.211217i | ||||
\(893\) | 61.1983 | − | 132.278i | 0.0685311 | − | 0.148128i | ||||
\(894\) | −571.253 | + | 125.742i | −0.638985 | + | 0.140651i | ||||
\(895\) | −1551.76 | − | 822.693i | −1.73381 | − | 0.919210i | ||||
\(896\) | 80.1363 | − | 4.34487i | 0.0894379 | − | 0.00484918i | ||||
\(897\) | 162.982 | − | 191.877i | 0.181697 | − | 0.213910i | ||||
\(898\) | 328.259 | − | 1491.30i | 0.365545 | − | 1.66069i | ||||
\(899\) | −120.268 | + | 158.210i | −0.133780 | + | 0.175984i | ||||
\(900\) | 58.1410 | + | 55.0741i | 0.0646011 | + | 0.0611934i | ||||
\(901\) | 82.0371 | − | 1513.08i | 0.0910511 | − | 1.67934i | ||||
\(902\) | 43.7323 | + | 26.3129i | 0.0484837 | + | 0.0291717i | ||||
\(903\) | 29.5844 | − | 20.0587i | 0.0327623 | − | 0.0222134i | ||||
\(904\) | 185.737 | + | 668.965i | 0.205461 | + | 0.740005i | ||||
\(905\) | −571.296 | − | 62.1322i | −0.631266 | − | 0.0686544i | ||||
\(906\) | 504.382 | − | 383.421i | 0.556713 | − | 0.423202i | ||||
\(907\) | −812.229 | + | 375.777i | −0.895511 | + | 0.414308i | −0.812987 | − | 0.582281i | \(-0.802160\pi\) |
−0.0825241 | + | 0.996589i | \(0.526298\pi\) | |||||||
\(908\) | −256.033 | − | 173.595i | −0.281975 | − | 0.191184i | ||||
\(909\) | 119.333 | − | 354.167i | 0.131279 | − | 0.389623i | ||||
\(910\) | −19.9884 | + | 121.924i | −0.0219653 | + | 0.133982i | ||||
\(911\) | 53.4688 | + | 326.145i | 0.0586924 | + | 0.358008i | 0.999802 | + | 0.0199058i | \(0.00633664\pi\) |
−0.941109 | + | 0.338102i | \(0.890215\pi\) | |||||||
\(912\) | 728.526 | − | 245.469i | 0.798822 | − | 0.269155i | ||||
\(913\) | −7.37856 | + | 26.5752i | −0.00808167 | + | 0.0291075i | ||||
\(914\) | −485.500 | + | 1218.51i | −0.531181 | + | 1.33317i | ||||
\(915\) | 239.903 | + | 95.5862i | 0.262189 | + | 0.104466i | ||||
\(916\) | −19.0828 | − | 5.29830i | −0.0208327 | − | 0.00578417i | ||||
\(917\) | −19.7409 | − | 58.5889i | −0.0215277 | − | 0.0638920i | ||||
\(918\) | −275.645 | + | 45.1898i | −0.300267 | + | 0.0492263i | ||||
\(919\) | −925.490 | − | 151.726i | −1.00706 | − | 0.165099i | −0.364394 | − | 0.931245i | \(-0.618724\pi\) |
−0.642667 | + | 0.766145i | \(0.722172\pi\) | |||||||
\(920\) | −380.501 | − | 128.206i | −0.413588 | − | 0.139354i | ||||
\(921\) | 196.815 | − | 290.280i | 0.213697 | − | 0.315179i | ||||
\(922\) | 599.535 | + | 1295.87i | 0.650255 | + | 1.40550i | ||||
\(923\) | 431.111 | + | 567.116i | 0.467075 | + | 0.614427i | ||||
\(924\) | −0.292163 | + | 2.68639i | −0.000316194 | + | 0.00290735i | ||||
\(925\) | −485.801 | + | 134.882i | −0.525191 | + | 0.145818i | ||||
\(926\) | −161.277 | − | 237.866i | −0.174166 | − | 0.256875i | ||||
\(927\) | −124.274 | + | 206.545i | −0.134060 | + | 0.222810i | ||||
\(928\) | 355.153 | + | 19.2558i | 0.382708 | + | 0.0207498i | ||||
\(929\) | 498.684 | − | 526.455i | 0.536797 | − | 0.566690i | −0.400021 | − | 0.916506i | \(-0.630997\pi\) |
0.936818 | + | 0.349816i | \(0.113756\pi\) | |||||||
\(930\) | −239.205 | − | 181.839i | −0.257210 | − | 0.195526i | ||||
\(931\) | 1083.02 | + | 238.391i | 1.16329 | + | 0.256059i | ||||
\(932\) | 239.273 | + | 203.241i | 0.256731 | + | 0.218069i | ||||
\(933\) | 22.6619 | + | 417.975i | 0.0242893 | + | 0.447990i | ||||
\(934\) | 557.978 | − | 1052.46i | 0.597407 | − | 1.12683i | ||||
\(935\) | −78.2417 | − | 355.456i | −0.0836810 | − | 0.380166i | ||||
\(936\) | 257.943 | + | 119.337i | 0.275580 | + | 0.127497i | ||||
\(937\) | 137.276 | + | 228.154i | 0.146506 | + | 0.243495i | 0.921417 | − | 0.388576i | \(-0.127033\pi\) |
−0.774911 | + | 0.632071i | \(0.782205\pi\) | |||||||
\(938\) | 28.6846 | + | 54.1048i | 0.0305806 | + | 0.0576810i | ||||
\(939\) | −572.115 | + | 485.959i | −0.609281 | + | 0.517528i | ||||
\(940\) | 38.5150 | + | 40.6598i | 0.0409734 | + | 0.0432551i | ||||
\(941\) | −19.3582 | − | 177.996i | −0.0205720 | − | 0.189156i | 0.979343 | − | 0.202207i | \(-0.0648113\pi\) |
−0.999915 | + | 0.0130505i | \(0.995846\pi\) | |||||||
\(942\) | 280.716 | + | 704.544i | 0.298000 | + | 0.747923i | ||||
\(943\) | 91.8322i | 0.0973831i | ||||||||
\(944\) | 1120.37 | + | 262.281i | 1.18683 | + | 0.277840i | ||||
\(945\) | −18.3320 | −0.0193989 | ||||||||
\(946\) | −194.802 | + | 77.6162i | −0.205922 | + | 0.0820467i | ||||
\(947\) | 776.764 | − | 84.4782i | 0.820237 | − | 0.0892061i | 0.311628 | − | 0.950204i | \(-0.399126\pi\) |
0.508608 | + | 0.860998i | \(0.330160\pi\) | |||||||
\(948\) | −142.066 | + | 134.572i | −0.149858 | + | 0.141953i | ||||
\(949\) | 1325.87 | + | 1560.93i | 1.39712 | + | 1.64481i | ||||
\(950\) | 953.895 | − | 505.723i | 1.00410 | − | 0.532340i | ||||
\(951\) | 711.177 | − | 427.901i | 0.747820 | − | 0.449949i | ||||
\(952\) | −31.8952 | + | 68.9404i | −0.0335034 | + | 0.0724164i | ||||
\(953\) | −252.521 | + | 55.5841i | −0.264975 | + | 0.0583254i | −0.345471 | − | 0.938430i | \(-0.612281\pi\) |
0.0804956 | + | 0.996755i | \(0.474350\pi\) | |||||||
\(954\) | 395.600 | + | 209.734i | 0.414675 | + | 0.219847i | ||||
\(955\) | −43.0925 | + | 2.33641i | −0.0451230 | + | 0.00244650i | ||||
\(956\) | −201.485 | + | 237.207i | −0.210758 | + | 0.248124i | ||||
\(957\) | 15.2913 | − | 69.4691i | 0.0159784 | − | 0.0725905i | ||||
\(958\) | 396.437 | − | 521.504i | 0.413817 | − | 0.544367i | ||||
\(959\) | −73.0458 | − | 69.1926i | −0.0761687 | − | 0.0721508i | ||||
\(960\) | 20.2931 | − | 374.284i | 0.0211387 | − | 0.389880i | ||||
\(961\) | −716.676 | − | 431.209i | −0.745760 | − | 0.448709i | ||||
\(962\) | 708.842 | − | 480.607i | 0.736842 | − | 0.499591i | ||||
\(963\) | −111.746 | − | 402.474i | −0.116040 | − | 0.417938i | ||||
\(964\) | 110.327 | + | 11.9988i | 0.114447 | + | 0.0124469i | ||||
\(965\) | −900.762 | + | 684.741i | −0.933432 | + | 0.709577i | ||||
\(966\) | −18.0448 | + | 8.34842i | −0.0186799 | + | 0.00864226i | ||||
\(967\) | 977.612 | + | 662.837i | 1.01097 | + | 0.685457i | 0.949861 | − | 0.312673i | \(-0.101225\pi\) |
0.0611134 | + | 0.998131i | \(0.480535\pi\) | |||||||
\(968\) | 229.921 | − | 682.382i | 0.237522 | − | 0.704940i | ||||
\(969\) | −148.982 | + | 908.751i | −0.153748 | + | 0.937824i | ||||
\(970\) | −167.200 | − | 1019.87i | −0.172371 | − | 1.05142i | ||||
\(971\) | 935.298 | − | 315.138i | 0.963231 | − | 0.324550i | 0.206624 | − | 0.978420i | \(-0.433752\pi\) |
0.756607 | + | 0.653870i | \(0.226856\pi\) | |||||||
\(972\) | 5.39980 | − | 19.4483i | 0.00555535 | − | 0.0200085i | ||||
\(973\) | −11.8060 | + | 29.6307i | −0.0121336 | + | 0.0304530i | ||||
\(974\) | 154.006 | + | 61.3616i | 0.158117 | + | 0.0629996i | ||||
\(975\) | 523.664 | + | 145.395i | 0.537092 | + | 0.149123i | ||||
\(976\) | 137.469 | + | 407.992i | 0.140849 | + | 0.418025i | ||||
\(977\) | 1584.50 | − | 259.766i | 1.62180 | − | 0.265881i | 0.718704 | − | 0.695316i | \(-0.244736\pi\) |
0.903098 | + | 0.429435i | \(0.141287\pi\) | |||||||
\(978\) | 1000.76 | + | 164.067i | 1.02328 | + | 0.167758i | ||||
\(979\) | 344.929 | + | 116.220i | 0.352328 | + | 0.118713i | ||||
\(980\) | −239.136 | + | 352.700i | −0.244017 | + | 0.359898i | ||||
\(981\) | 128.856 | + | 278.519i | 0.131352 | + | 0.283913i | ||||
\(982\) | −744.947 | − | 979.961i | −0.758602 | − | 0.997924i | ||||
\(983\) | 10.6088 | − | 97.5464i | 0.0107923 | − | 0.0992333i | −0.987503 | − | 0.157601i | \(-0.949624\pi\) |
0.998295 | + | 0.0583676i | \(0.0185896\pi\) | |||||||
\(984\) | −99.8928 | + | 27.7351i | −0.101517 | + | 0.0281861i | ||||
\(985\) | −992.695 | − | 1464.12i | −1.00781 | − | 1.48641i | ||||
\(986\) | −493.417 | + | 820.065i | −0.500423 | + | 0.831709i | ||||
\(987\) | −5.78565 | − | 0.313689i | −0.00586185 | − | 0.000317821i | ||||
\(988\) | −308.417 | + | 325.592i | −0.312163 | + | 0.329547i | ||||
\(989\) | −300.368 | − | 228.334i | −0.303709 | − | 0.230873i | ||||
\(990\) | 105.034 | + | 23.1197i | 0.106095 | + | 0.0233532i | ||||
\(991\) | 353.672 | + | 300.412i | 0.356884 | + | 0.303140i | 0.807835 | − | 0.589408i | \(-0.200639\pi\) |
−0.450951 | + | 0.892549i | \(0.648915\pi\) | |||||||
\(992\) | −12.0728 | − | 222.670i | −0.0121702 | − | 0.224466i | ||||
\(993\) | 139.195 | − | 262.550i | 0.140176 | − | 0.264400i | ||||
\(994\) | −12.0943 | − | 54.9450i | −0.0121673 | − | 0.0552767i | ||||
\(995\) | −392.438 | − | 181.561i | −0.394410 | − | 0.182473i | ||||
\(996\) | 13.8244 | + | 22.9764i | 0.0138799 | + | 0.0230687i | ||||
\(997\) | 778.506 | + | 1468.42i | 0.780848 | + | 1.47284i | 0.878566 | + | 0.477622i | \(0.158501\pi\) |
−0.0977176 | + | 0.995214i | \(0.531154\pi\) | |||||||
\(998\) | 1455.79 | − | 1236.56i | 1.45871 | − | 1.23904i | ||||
\(999\) | 87.3861 | + | 92.2524i | 0.0874736 | + | 0.0923447i |
(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 | 177.3.g.a.124.16 | yes | 560 | |
59.10 | odd | 58 | inner | 177.3.g.a.10.16 | ✓ | 560 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.3.g.a.10.16 | ✓ | 560 | 59.10 | odd | 58 | inner | |
177.3.g.a.124.16 | yes | 560 | 1.1 | even | 1 | trivial |