Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [160,2,Mod(43,160)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(160, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("160.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 160 = 2^{5} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 160.u (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.27760643234\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 43.10 | ||
Character | \(\chi\) | \(=\) | 160.43 |
Dual form | 160.2.u.a.67.10 |
$q$-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 \(\left(\mathbb{Z}/160\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(97\) | \(101\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.458371 | + | 1.33787i | −0.324117 | + | 0.946017i | ||||
\(3\) | 0.218753 | − | 0.528116i | 0.126297 | − | 0.304908i | −0.848066 | − | 0.529891i | \(-0.822233\pi\) |
0.974363 | + | 0.224983i | \(0.0722328\pi\) | |||||||
\(4\) | −1.57979 | − | 1.22648i | −0.789896 | − | 0.613240i | ||||
\(5\) | 1.03318 | + | 1.98306i | 0.462053 | + | 0.886852i | ||||
\(6\) | 0.606280 | + | 0.534736i | 0.247513 | + | 0.218305i | ||||
\(7\) | 0.814088i | 0.307696i | 0.988095 | + | 0.153848i | \(0.0491666\pi\) | ||||
−0.988095 | + | 0.153848i | \(0.950833\pi\) | |||||||
\(8\) | 2.36500 | − | 1.55137i | 0.836155 | − | 0.548494i | ||||
\(9\) | 1.89027 | + | 1.89027i | 0.630089 | + | 0.630089i | ||||
\(10\) | −3.12666 | + | 0.473287i | −0.988737 | + | 0.149666i | ||||
\(11\) | −2.18824 | + | 5.28289i | −0.659780 | + | 1.59285i | 0.138362 | + | 0.990382i | \(0.455816\pi\) |
−0.798142 | + | 0.602469i | \(0.794184\pi\) | |||||||
\(12\) | −0.993308 | + | 0.566017i | −0.286743 | + | 0.163395i | ||||
\(13\) | 1.29817 | − | 3.13405i | 0.360047 | − | 0.869230i | −0.635245 | − | 0.772310i | \(-0.719101\pi\) |
0.995292 | − | 0.0969195i | \(-0.0308989\pi\) | |||||||
\(14\) | −1.08914 | − | 0.373154i | −0.291086 | − | 0.0997296i | ||||
\(15\) | 1.27330 | − | 0.111840i | 0.328764 | − | 0.0288769i | ||||
\(16\) | 0.991489 | + | 3.87517i | 0.247872 | + | 0.968793i | ||||
\(17\) | 1.06141 | + | 1.06141i | 0.257430 | + | 0.257430i | 0.824008 | − | 0.566578i | \(-0.191733\pi\) |
−0.566578 | + | 0.824008i | \(0.691733\pi\) | |||||||
\(18\) | −3.39537 | + | 1.66249i | −0.800297 | + | 0.391852i | ||||
\(19\) | −1.35555 | − | 3.27259i | −0.310985 | − | 0.750785i | −0.999669 | − | 0.0257229i | \(-0.991811\pi\) |
0.688684 | − | 0.725062i | \(-0.258189\pi\) | |||||||
\(20\) | 0.799973 | − | 4.40000i | 0.178879 | − | 0.983871i | ||||
\(21\) | 0.429932 | + | 0.178084i | 0.0938190 | + | 0.0388611i | ||||
\(22\) | −6.06479 | − | 5.34911i | −1.29302 | − | 1.14043i | ||||
\(23\) | − | 7.06624i | − | 1.47341i | −0.676213 | − | 0.736707i | \(-0.736380\pi\) | ||
0.676213 | − | 0.736707i | \(-0.263620\pi\) | |||||||
\(24\) | −0.301954 | − | 1.58836i | −0.0616362 | − | 0.324223i | ||||
\(25\) | −2.86507 | + | 4.09773i | −0.573014 | + | 0.819546i | ||||
\(26\) | 3.59791 | + | 3.17334i | 0.705609 | + | 0.622343i | ||||
\(27\) | 2.99613 | − | 1.24104i | 0.576605 | − | 0.238838i | ||||
\(28\) | 0.998463 | − | 1.28609i | 0.188692 | − | 0.243048i | ||||
\(29\) | 1.28483 | + | 3.10185i | 0.238586 | + | 0.575999i | 0.997137 | − | 0.0756156i | \(-0.0240922\pi\) |
−0.758551 | + | 0.651614i | \(0.774092\pi\) | |||||||
\(30\) | −0.434015 | + | 1.75477i | −0.0792400 | + | 0.320376i | ||||
\(31\) | − | 3.96241i | − | 0.711669i | −0.934549 | − | 0.355834i | \(-0.884197\pi\) | ||
0.934549 | − | 0.355834i | \(-0.115803\pi\) | |||||||
\(32\) | −5.63894 | − | 0.449781i | −0.996834 | − | 0.0795109i | ||||
\(33\) | 2.31129 | + | 2.31129i | 0.402344 | + | 0.402344i | ||||
\(34\) | −1.90655 | + | 0.933511i | −0.326971 | + | 0.160096i | ||||
\(35\) | −1.61439 | + | 0.841101i | −0.272881 | + | 0.142172i | ||||
\(36\) | −0.667853 | − | 5.30461i | −0.111309 | − | 0.884101i | ||||
\(37\) | −1.68376 | − | 4.06496i | −0.276809 | − | 0.668275i | 0.722935 | − | 0.690916i | \(-0.242793\pi\) |
−0.999744 | + | 0.0226409i | \(0.992793\pi\) | |||||||
\(38\) | 4.99965 | − | 0.313492i | 0.811051 | − | 0.0508552i | ||||
\(39\) | −1.37117 | − | 1.37117i | −0.219562 | − | 0.219562i | ||||
\(40\) | 5.51995 | + | 3.08709i | 0.872781 | + | 0.488112i | ||||
\(41\) | 7.46225 | − | 7.46225i | 1.16541 | − | 1.16541i | 0.182133 | − | 0.983274i | \(-0.441700\pi\) |
0.983274 | − | 0.182133i | \(-0.0583002\pi\) | |||||||
\(42\) | −0.435322 | + | 0.493565i | −0.0671716 | + | 0.0761588i | ||||
\(43\) | −3.40086 | + | 1.40868i | −0.518626 | + | 0.214822i | −0.626613 | − | 0.779330i | \(-0.715559\pi\) |
0.107987 | + | 0.994152i | \(0.465559\pi\) | |||||||
\(44\) | 9.93633 | − | 5.66203i | 1.49796 | − | 0.853583i | ||||
\(45\) | −1.79553 | + | 5.70151i | −0.267661 | + | 0.849930i | ||||
\(46\) | 9.45371 | + | 3.23896i | 1.39387 | + | 0.477558i | ||||
\(47\) | 5.53756 | − | 5.53756i | 0.807737 | − | 0.807737i | −0.176554 | − | 0.984291i | \(-0.556495\pi\) |
0.984291 | + | 0.176554i | \(0.0564951\pi\) | |||||||
\(48\) | 2.26343 | + | 0.324083i | 0.326698 | + | 0.0467774i | ||||
\(49\) | 6.33726 | 0.905323 | ||||||||
\(50\) | −4.16897 | − | 5.71137i | −0.589581 | − | 0.807709i | ||||
\(51\) | 0.792735 | − | 0.328362i | 0.111005 | − | 0.0459798i | ||||
\(52\) | −5.89469 | + | 3.35898i | −0.817446 | + | 0.465806i | ||||
\(53\) | −1.74894 | − | 4.22232i | −0.240236 | − | 0.579981i | 0.757070 | − | 0.653334i | \(-0.226630\pi\) |
−0.997306 | + | 0.0733529i | \(0.976630\pi\) | |||||||
\(54\) | 0.287009 | + | 4.57729i | 0.0390569 | + | 0.622890i | ||||
\(55\) | −12.7371 | + | 1.11876i | −1.71748 | + | 0.150854i | ||||
\(56\) | 1.26295 | + | 1.92532i | 0.168769 | + | 0.257282i | ||||
\(57\) | −2.02484 | −0.268197 | ||||||||
\(58\) | −4.73880 | + | 0.297136i | −0.622234 | + | 0.0390158i | ||||
\(59\) | −2.42524 | + | 5.85504i | −0.315739 | + | 0.762261i | 0.683732 | + | 0.729733i | \(0.260356\pi\) |
−0.999471 | + | 0.0325278i | \(0.989644\pi\) | |||||||
\(60\) | −2.14872 | − | 1.38499i | −0.277398 | − | 0.178802i | ||||
\(61\) | −14.3773 | + | 5.95527i | −1.84083 | + | 0.762495i | −0.887291 | + | 0.461211i | \(0.847415\pi\) |
−0.953534 | + | 0.301284i | \(0.902585\pi\) | |||||||
\(62\) | 5.30118 | + | 1.81625i | 0.673251 | + | 0.230664i | ||||
\(63\) | −1.53884 | + | 1.53884i | −0.193876 | + | 0.193876i | ||||
\(64\) | 3.18648 | − | 7.33801i | 0.398310 | − | 0.917251i | ||||
\(65\) | 7.55626 | − | 0.663703i | 0.937239 | − | 0.0823222i | ||||
\(66\) | −4.15164 | + | 2.03278i | −0.511031 | + | 0.250218i | ||||
\(67\) | −0.0299831 | − | 0.0124194i | −0.00366302 | − | 0.00151727i | 0.380851 | − | 0.924636i | \(-0.375631\pi\) |
−0.384514 | + | 0.923119i | \(0.625631\pi\) | |||||||
\(68\) | −0.375009 | − | 2.97861i | −0.0454765 | − | 0.361210i | ||||
\(69\) | −3.73179 | − | 1.54576i | −0.449255 | − | 0.186088i | ||||
\(70\) | −0.385297 | − | 2.54537i | −0.0460518 | − | 0.304230i | ||||
\(71\) | −3.37479 | + | 3.37479i | −0.400514 | + | 0.400514i | −0.878414 | − | 0.477900i | \(-0.841398\pi\) |
0.477900 | + | 0.878414i | \(0.341398\pi\) | |||||||
\(72\) | 7.40300 | + | 1.53798i | 0.872452 | + | 0.181252i | ||||
\(73\) | −6.66157 | −0.779677 | −0.389839 | − | 0.920883i | \(-0.627469\pi\) | ||||
−0.389839 | + | 0.920883i | \(0.627469\pi\) | |||||||
\(74\) | 6.21017 | − | 0.389395i | 0.721918 | − | 0.0452663i | ||||
\(75\) | 1.53733 | + | 2.40948i | 0.177516 | + | 0.278222i | ||||
\(76\) | −1.87228 | + | 6.83258i | −0.214765 | + | 0.783751i | ||||
\(77\) | −4.30073 | − | 1.78142i | −0.490114 | − | 0.203012i | ||||
\(78\) | 2.46294 | − | 1.20594i | 0.278873 | − | 0.136546i | ||||
\(79\) | − | 3.45823i | − | 0.389081i | −0.980895 | − | 0.194540i | \(-0.937678\pi\) | ||
0.980895 | − | 0.194540i | \(-0.0623215\pi\) | |||||||
\(80\) | −6.66031 | + | 5.96994i | −0.744646 | + | 0.667460i | ||||
\(81\) | 6.16594i | 0.685104i | ||||||||
\(82\) | 6.56304 | + | 13.4040i | 0.724767 | + | 1.48022i | ||||
\(83\) | −3.60660 | − | 1.49390i | −0.395876 | − | 0.163977i | 0.175859 | − | 0.984415i | \(-0.443730\pi\) |
−0.571735 | + | 0.820438i | \(0.693730\pi\) | |||||||
\(84\) | −0.460788 | − | 0.808640i | −0.0502761 | − | 0.0882298i | ||||
\(85\) | −1.00821 | + | 3.20148i | −0.109356 | + | 0.347249i | ||||
\(86\) | −0.325779 | − | 5.19561i | −0.0351297 | − | 0.560257i | ||||
\(87\) | 1.91919 | 0.205759 | ||||||||
\(88\) | 3.02053 | + | 15.8888i | 0.321990 | + | 1.69375i | ||||
\(89\) | −0.670113 | + | 0.670113i | −0.0710319 | + | 0.0710319i | −0.741730 | − | 0.670698i | \(-0.765995\pi\) |
0.670698 | + | 0.741730i | \(0.265995\pi\) | |||||||
\(90\) | −6.80486 | − | 5.01558i | −0.717295 | − | 0.528689i | ||||
\(91\) | 2.55139 | + | 1.05682i | 0.267459 | + | 0.110785i | ||||
\(92\) | −8.66661 | + | 11.1632i | −0.903557 | + | 1.16384i | ||||
\(93\) | −2.09261 | − | 0.866787i | −0.216993 | − | 0.0898816i | ||||
\(94\) | 4.87028 | + | 9.94680i | 0.502331 | + | 1.02593i | ||||
\(95\) | 5.08922 | − | 6.06933i | 0.522143 | − | 0.622700i | ||||
\(96\) | −1.47107 | + | 2.87962i | −0.150141 | + | 0.293900i | ||||
\(97\) | 6.31432 | − | 6.31432i | 0.641122 | − | 0.641122i | −0.309709 | − | 0.950831i | \(-0.600232\pi\) |
0.950831 | + | 0.309709i | \(0.100232\pi\) | |||||||
\(98\) | −2.90482 | + | 8.47843i | −0.293431 | + | 0.856451i | ||||
\(99\) | −14.1224 | + | 5.84970i | −1.41936 | + | 0.587917i | ||||
\(100\) | 9.55200 | − | 2.95961i | 0.955200 | − | 0.295961i | ||||
\(101\) | 3.71176 | − | 8.96097i | 0.369334 | − | 0.891650i | −0.624526 | − | 0.781004i | \(-0.714708\pi\) |
0.993860 | − | 0.110646i | \(-0.0352921\pi\) | |||||||
\(102\) | 0.0759386 | + | 1.21109i | 0.00751904 | + | 0.119916i | ||||
\(103\) | 11.8642 | 1.16901 | 0.584507 | − | 0.811388i | \(-0.301288\pi\) | ||||
0.584507 | + | 0.811388i | \(0.301288\pi\) | |||||||
\(104\) | −1.79192 | − | 9.42599i | −0.175712 | − | 0.924294i | ||||
\(105\) | 0.0910475 | + | 1.03658i | 0.00888532 | + | 0.101159i | ||||
\(106\) | 6.45058 | − | 0.404470i | 0.626536 | − | 0.0392856i | ||||
\(107\) | 6.96510 | + | 16.8153i | 0.673342 | + | 1.62559i | 0.775894 | + | 0.630864i | \(0.217299\pi\) |
−0.102551 | + | 0.994728i | \(0.532701\pi\) | |||||||
\(108\) | −6.25537 | − | 1.71411i | −0.601923 | − | 0.164941i | ||||
\(109\) | 7.10157 | − | 2.94157i | 0.680207 | − | 0.281751i | −0.0157062 | − | 0.999877i | \(-0.505000\pi\) |
0.695914 | + | 0.718126i | \(0.255000\pi\) | |||||||
\(110\) | 4.34157 | − | 17.5535i | 0.413953 | − | 1.67366i | ||||
\(111\) | −2.51510 | −0.238722 | ||||||||
\(112\) | −3.15473 | + | 0.807159i | −0.298094 | + | 0.0762693i | ||||
\(113\) | −6.45581 | + | 6.45581i | −0.607311 | + | 0.607311i | −0.942243 | − | 0.334931i | \(-0.891287\pi\) |
0.334931 | + | 0.942243i | \(0.391287\pi\) | |||||||
\(114\) | 0.928127 | − | 2.70897i | 0.0869271 | − | 0.253718i | ||||
\(115\) | 14.0128 | − | 7.30072i | 1.30670 | − | 0.680795i | ||||
\(116\) | 1.77460 | − | 6.47609i | 0.164767 | − | 0.601290i | ||||
\(117\) | 8.37808 | − | 3.47031i | 0.774554 | − | 0.320831i | ||||
\(118\) | −6.72162 | − | 5.92843i | −0.618776 | − | 0.545756i | ||||
\(119\) | −0.864082 | + | 0.864082i | −0.0792103 | + | 0.0792103i | ||||
\(120\) | 2.83785 | − | 2.23986i | 0.259059 | − | 0.204471i | ||||
\(121\) | −15.3423 | − | 15.3423i | −1.39476 | − | 1.39476i | ||||
\(122\) | −1.37725 | − | 21.9647i | −0.124690 | − | 1.98859i | ||||
\(123\) | −2.30854 | − | 5.57332i | −0.208154 | − | 0.502529i | ||||
\(124\) | −4.85981 | + | 6.25978i | −0.436424 | + | 0.562145i | ||||
\(125\) | −11.0862 | − | 1.44790i | −0.991579 | − | 0.129504i | ||||
\(126\) | −1.35341 | − | 2.76413i | −0.120571 | − | 0.246248i | ||||
\(127\) | 5.63123 | + | 5.63123i | 0.499691 | + | 0.499691i | 0.911342 | − | 0.411651i | \(-0.135048\pi\) |
−0.411651 | + | 0.911342i | \(0.635048\pi\) | |||||||
\(128\) | 8.35671 | + | 7.62662i | 0.738636 | + | 0.674104i | ||||
\(129\) | 2.10420i | 0.185264i | ||||||||
\(130\) | −2.57562 | + | 10.4135i | −0.225897 | + | 0.913326i | ||||
\(131\) | 0.886992 | + | 2.14139i | 0.0774969 | + | 0.187094i | 0.957880 | − | 0.287170i | \(-0.0927143\pi\) |
−0.880383 | + | 0.474264i | \(0.842714\pi\) | |||||||
\(132\) | −0.816606 | − | 6.48612i | −0.0710765 | − | 0.564544i | ||||
\(133\) | 2.66418 | − | 1.10354i | 0.231014 | − | 0.0956889i | ||||
\(134\) | 0.0303589 | − | 0.0344208i | 0.00262261 | − | 0.00297351i | ||||
\(135\) | 5.55660 | + | 4.65929i | 0.478236 | + | 0.401008i | ||||
\(136\) | 4.15689 | + | 0.863595i | 0.356450 | + | 0.0740527i | ||||
\(137\) | − | 2.52984i | − | 0.216139i | −0.994143 | − | 0.108069i | \(-0.965533\pi\) | ||
0.994143 | − | 0.108069i | \(-0.0344669\pi\) | |||||||
\(138\) | 3.77857 | − | 4.28412i | 0.321653 | − | 0.364689i | ||||
\(139\) | −3.32332 | − | 1.37656i | −0.281880 | − | 0.116759i | 0.237264 | − | 0.971445i | \(-0.423749\pi\) |
−0.519144 | + | 0.854687i | \(0.673749\pi\) | |||||||
\(140\) | 3.58199 | + | 0.651248i | 0.302733 | + | 0.0550405i | ||||
\(141\) | −1.71312 | − | 4.13583i | −0.144271 | − | 0.348300i | ||||
\(142\) | −2.96813 | − | 6.06194i | −0.249080 | − | 0.508707i | ||||
\(143\) | 13.7161 | + | 13.7161i | 1.14700 | + | 1.14700i | ||||
\(144\) | −5.45093 | + | 9.19929i | −0.454244 | + | 0.766607i | ||||
\(145\) | −4.82369 | + | 5.75267i | −0.400586 | + | 0.477733i | ||||
\(146\) | 3.05347 | − | 8.91231i | 0.252707 | − | 0.737588i | ||||
\(147\) | 1.38629 | − | 3.34681i | 0.114340 | − | 0.276040i | ||||
\(148\) | −2.32560 | + | 8.48689i | −0.191163 | + | 0.697618i | ||||
\(149\) | 3.35125 | − | 8.09064i | 0.274545 | − | 0.662811i | −0.725122 | − | 0.688621i | \(-0.758217\pi\) |
0.999667 | + | 0.0258101i | \(0.00821651\pi\) | |||||||
\(150\) | −3.92824 | + | 0.952320i | −0.320739 | + | 0.0777566i | ||||
\(151\) | −3.49423 | − | 3.49423i | −0.284357 | − | 0.284357i | 0.550487 | − | 0.834844i | \(-0.314442\pi\) |
−0.834844 | + | 0.550487i | \(0.814442\pi\) | |||||||
\(152\) | −8.28290 | − | 5.63672i | −0.671832 | − | 0.457199i | ||||
\(153\) | 4.01270i | 0.324408i | ||||||||
\(154\) | 4.35464 | − | 4.93727i | 0.350907 | − | 0.397857i | ||||
\(155\) | 7.85769 | − | 4.09389i | 0.631145 | − | 0.328829i | ||||
\(156\) | 0.484449 | + | 3.84786i | 0.0387869 | + | 0.308076i | ||||
\(157\) | −2.87473 | + | 6.94022i | −0.229429 | + | 0.553890i | −0.996108 | − | 0.0881404i | \(-0.971908\pi\) |
0.766679 | + | 0.642030i | \(0.221908\pi\) | |||||||
\(158\) | 4.62666 | + | 1.58515i | 0.368077 | + | 0.126108i | ||||
\(159\) | −2.61246 | −0.207182 | ||||||||
\(160\) | −4.93412 | − | 11.6471i | −0.390076 | − | 0.920783i | ||||
\(161\) | 5.75254 | 0.453364 | ||||||||
\(162\) | −8.24923 | − | 2.82629i | −0.648120 | − | 0.222054i | ||||
\(163\) | 7.78578 | − | 18.7965i | 0.609829 | − | 1.47226i | −0.253358 | − | 0.967373i | \(-0.581535\pi\) |
0.863187 | − | 0.504885i | \(-0.168465\pi\) | |||||||
\(164\) | −20.9411 | + | 2.63650i | −1.63523 | + | 0.205876i | ||||
\(165\) | −2.19545 | + | 6.97142i | −0.170915 | + | 0.542724i | ||||
\(166\) | 3.65181 | − | 4.14040i | 0.283435 | − | 0.321358i | ||||
\(167\) | 9.46735i | 0.732605i | 0.930496 | + | 0.366303i | \(0.119377\pi\) | ||||
−0.930496 | + | 0.366303i | \(0.880623\pi\) | |||||||
\(168\) | 1.29307 | − | 0.245817i | 0.0997622 | − | 0.0189652i | ||||
\(169\) | 1.05534 | + | 1.05534i | 0.0811800 | + | 0.0811800i | ||||
\(170\) | −3.82103 | − | 2.81632i | −0.293059 | − | 0.216002i | ||||
\(171\) | 3.62372 | − | 8.74843i | 0.277113 | − | 0.669009i | ||||
\(172\) | 7.10037 | + | 1.94566i | 0.541398 | + | 0.148355i | ||||
\(173\) | −2.33654 | + | 5.64090i | −0.177644 | + | 0.428870i | −0.987471 | − | 0.157798i | \(-0.949561\pi\) |
0.809828 | + | 0.586668i | \(0.199561\pi\) | |||||||
\(174\) | −0.879702 | + | 2.56763i | −0.0666901 | + | 0.194652i | ||||
\(175\) | −3.33591 | − | 2.33242i | −0.252171 | − | 0.176314i | ||||
\(176\) | −22.6417 | − | 3.24189i | −1.70668 | − | 0.244367i | ||||
\(177\) | 2.56161 | + | 2.56161i | 0.192542 | + | 0.192542i | ||||
\(178\) | −0.589364 | − | 1.20368i | −0.0441747 | − | 0.0902200i | ||||
\(179\) | 7.90631 | + | 19.0875i | 0.590945 | + | 1.42667i | 0.882591 | + | 0.470141i | \(0.155797\pi\) |
−0.291646 | + | 0.956526i | \(0.594203\pi\) | |||||||
\(180\) | 9.82935 | − | 6.80502i | 0.732636 | − | 0.507216i | ||||
\(181\) | 6.59835 | + | 2.73313i | 0.490451 | + | 0.203152i | 0.614182 | − | 0.789164i | \(-0.289486\pi\) |
−0.123731 | + | 0.992316i | \(0.539486\pi\) | |||||||
\(182\) | −2.58337 | + | 2.92902i | −0.191492 | + | 0.217113i | ||||
\(183\) | 8.89561i | 0.657583i | ||||||||
\(184\) | −10.9624 | − | 16.7117i | −0.808158 | − | 1.23200i | ||||
\(185\) | 6.32143 | − | 7.53885i | 0.464761 | − | 0.554267i | ||||
\(186\) | 2.11884 | − | 2.40233i | 0.155361 | − | 0.176147i | ||||
\(187\) | −7.92995 | + | 3.28469i | −0.579895 | + | 0.240200i | ||||
\(188\) | −15.5399 | + | 1.95649i | −1.13336 | + | 0.142691i | ||||
\(189\) | 1.01031 | + | 2.43911i | 0.0734894 | + | 0.177419i | ||||
\(190\) | 5.78723 | + | 9.59072i | 0.419850 | + | 0.695784i | ||||
\(191\) | 13.1291i | 0.949988i | 0.879989 | + | 0.474994i | \(0.157550\pi\) | ||||
−0.879989 | + | 0.474994i | \(0.842450\pi\) | |||||||
\(192\) | −3.17827 | − | 3.28804i | −0.229372 | − | 0.237294i | ||||
\(193\) | −11.7096 | − | 11.7096i | −0.842875 | − | 0.842875i | 0.146357 | − | 0.989232i | \(-0.453245\pi\) |
−0.989232 | + | 0.146357i | \(0.953245\pi\) | |||||||
\(194\) | 5.55344 | + | 11.3420i | 0.398714 | + | 0.814311i | ||||
\(195\) | 1.30244 | − | 4.13577i | 0.0932697 | − | 0.296169i | ||||
\(196\) | −10.0116 | − | 7.77253i | −0.715111 | − | 0.555181i | ||||
\(197\) | −8.13349 | − | 19.6360i | −0.579487 | − | 1.39901i | −0.893274 | − | 0.449512i | \(-0.851598\pi\) |
0.313787 | − | 0.949493i | \(-0.398402\pi\) | |||||||
\(198\) | −1.35283 | − | 21.5753i | −0.0961416 | − | 1.53329i | ||||
\(199\) | −8.06864 | − | 8.06864i | −0.571971 | − | 0.571971i | 0.360708 | − | 0.932679i | \(-0.382535\pi\) |
−0.932679 | + | 0.360708i | \(0.882535\pi\) | |||||||
\(200\) | −0.418781 | + | 14.1359i | −0.0296123 | + | 0.999561i | ||||
\(201\) | −0.0131178 | + | 0.0131178i | −0.000925257 | + | 0.000925257i | ||||
\(202\) | 10.2873 | + | 9.07330i | 0.723809 | + | 0.638395i | ||||
\(203\) | −2.52518 | + | 1.04596i | −0.177233 | + | 0.0734121i | ||||
\(204\) | −1.65509 | − | 0.453531i | −0.115879 | − | 0.0317535i | ||||
\(205\) | 22.5080 | + | 7.08823i | 1.57202 | + | 0.495064i | ||||
\(206\) | −5.43820 | + | 15.8728i | −0.378898 | + | 1.10591i | ||||
\(207\) | 13.3571 | − | 13.3571i | 0.928381 | − | 0.928381i | ||||
\(208\) | 13.4321 | + | 1.92324i | 0.931349 | + | 0.133353i | ||||
\(209\) | 20.2550 | 1.40107 | ||||||||
\(210\) | −1.42854 | − | 0.353326i | −0.0985784 | − | 0.0243818i | ||||
\(211\) | −13.7348 | + | 5.68914i | −0.945542 | + | 0.391656i | −0.801554 | − | 0.597923i | \(-0.795993\pi\) |
−0.143989 | + | 0.989579i | \(0.545993\pi\) | |||||||
\(212\) | −2.41563 | + | 8.81544i | −0.165906 | + | 0.605447i | ||||
\(213\) | 1.04404 | + | 2.52053i | 0.0715362 | + | 0.172704i | ||||
\(214\) | −25.6892 | + | 1.61079i | −1.75608 | + | 0.110111i | ||||
\(215\) | −6.30721 | − | 5.28869i | −0.430148 | − | 0.360685i | ||||
\(216\) | 5.16054 | − | 7.58317i | 0.351130 | − | 0.515969i | ||||
\(217\) | 3.22574 | 0.218978 | ||||||||
\(218\) | 0.680282 | + | 10.8493i | 0.0460745 | + | 0.734808i | ||||
\(219\) | −1.45724 | + | 3.51808i | −0.0984709 | + | 0.237730i | ||||
\(220\) | 21.4942 | + | 13.8545i | 1.44914 | + | 0.934067i | ||||
\(221\) | 4.70441 | − | 1.94863i | 0.316453 | − | 0.131079i | ||||
\(222\) | 1.15285 | − | 3.36487i | 0.0773740 | − | 0.225835i | ||||
\(223\) | −2.21049 | + | 2.21049i | −0.148025 | + | 0.148025i | −0.777235 | − | 0.629210i | \(-0.783379\pi\) |
0.629210 | + | 0.777235i | \(0.283379\pi\) | |||||||
\(224\) | 0.366161 | − | 4.59059i | 0.0244652 | − | 0.306722i | ||||
\(225\) | −13.1615 | + | 2.33006i | −0.877436 | + | 0.155337i | ||||
\(226\) | −5.67788 | − | 11.5962i | −0.377687 | − | 0.771367i | ||||
\(227\) | −9.30656 | − | 3.85490i | −0.617698 | − | 0.255859i | 0.0518179 | − | 0.998657i | \(-0.483498\pi\) |
−0.669516 | + | 0.742798i | \(0.733498\pi\) | |||||||
\(228\) | 3.19883 | + | 2.48343i | 0.211847 | + | 0.164469i | ||||
\(229\) | −2.85613 | − | 1.18305i | −0.188738 | − | 0.0781780i | 0.286313 | − | 0.958136i | \(-0.407570\pi\) |
−0.475051 | + | 0.879958i | \(0.657570\pi\) | |||||||
\(230\) | 3.34436 | + | 22.0937i | 0.220520 | + | 1.45682i | ||||
\(231\) | −1.88159 | + | 1.88159i | −0.123800 | + | 0.123800i | ||||
\(232\) | 7.85075 | + | 5.34263i | 0.515427 | + | 0.350761i | ||||
\(233\) | −19.3641 | −1.26858 | −0.634291 | − | 0.773095i | \(-0.718708\pi\) | ||||
−0.634291 | + | 0.773095i | \(0.718708\pi\) | |||||||
\(234\) | 0.802563 | + | 12.7995i | 0.0524652 | + | 0.836727i | ||||
\(235\) | 16.7026 | + | 5.26002i | 1.08956 | + | 0.343126i | ||||
\(236\) | 11.0125 | − | 6.27524i | 0.716850 | − | 0.408483i | ||||
\(237\) | −1.82634 | − | 0.756496i | −0.118634 | − | 0.0491397i | ||||
\(238\) | −0.759960 | − | 1.55210i | −0.0492609 | − | 0.100608i | ||||
\(239\) | − | 1.09143i | − | 0.0705985i | −0.999377 | − | 0.0352993i | \(-0.988762\pi\) | ||
0.999377 | − | 0.0352993i | \(-0.0112384\pi\) | |||||||
\(240\) | 1.69586 | + | 4.82336i | 0.109467 | + | 0.311346i | ||||
\(241\) | 0.331423i | 0.0213488i | 0.999943 | + | 0.0106744i | \(0.00339784\pi\) | ||||
−0.999943 | + | 0.0106744i | \(0.996602\pi\) | |||||||
\(242\) | 27.5585 | − | 13.4936i | 1.77153 | − | 0.867399i | ||||
\(243\) | 12.2447 | + | 5.07193i | 0.785499 | + | 0.325364i | ||||
\(244\) | 30.0172 | + | 8.22539i | 1.92165 | + | 0.526577i | ||||
\(245\) | 6.54755 | + | 12.5672i | 0.418307 | + | 0.802888i | ||||
\(246\) | 8.51454 | − | 0.533886i | 0.542867 | − | 0.0340393i | ||||
\(247\) | −12.0162 | −0.764573 | ||||||||
\(248\) | −6.14717 | − | 9.37110i | −0.390346 | − | 0.595065i | ||||
\(249\) | −1.57791 | + | 1.57791i | −0.0999959 | + | 0.0999959i | ||||
\(250\) | 7.01869 | − | 14.1682i | 0.443901 | − | 0.896076i | ||||
\(251\) | 17.7733 | + | 7.36194i | 1.12184 | + | 0.464681i | 0.865000 | − | 0.501773i | \(-0.167319\pi\) |
0.256840 | + | 0.966454i | \(0.417319\pi\) | |||||||
\(252\) | 4.31841 | − | 0.543691i | 0.272034 | − | 0.0342493i | ||||
\(253\) | 37.3302 | + | 15.4627i | 2.34693 | + | 0.972129i | ||||
\(254\) | −10.1150 | + | 4.95266i | −0.634674 | + | 0.310758i | ||||
\(255\) | 1.47020 | + | 1.23279i | 0.0920676 | + | 0.0772000i | ||||
\(256\) | −14.0339 | + | 7.68438i | −0.877119 | + | 0.480274i | ||||
\(257\) | −18.6648 | + | 18.6648i | −1.16428 | + | 1.16428i | −0.180746 | + | 0.983530i | \(0.557851\pi\) |
−0.983530 | + | 0.180746i | \(0.942149\pi\) | |||||||
\(258\) | −2.81515 | − | 0.964504i | −0.175263 | − | 0.0600474i | ||||
\(259\) | 3.30923 | − | 1.37073i | 0.205626 | − | 0.0851729i | ||||
\(260\) | −12.7513 | − | 8.21910i | −0.790805 | − | 0.509727i | ||||
\(261\) | −3.43465 | + | 8.29198i | −0.212600 | + | 0.513261i | ||||
\(262\) | −3.27147 | + | 0.205131i | −0.202112 | + | 0.0126730i | ||||
\(263\) | −22.8147 | −1.40681 | −0.703407 | − | 0.710788i | \(-0.748339\pi\) | ||||
−0.703407 | + | 0.710788i | \(0.748339\pi\) | |||||||
\(264\) | 9.05189 | + | 1.88053i | 0.557105 | + | 0.115739i | ||||
\(265\) | 6.56615 | − | 7.83069i | 0.403355 | − | 0.481036i | ||||
\(266\) | 0.255210 | + | 4.07015i | 0.0156479 | + | 0.249557i | ||||
\(267\) | 0.207308 | + | 0.500486i | 0.0126871 | + | 0.0306293i | ||||
\(268\) | 0.0321349 | + | 0.0563938i | 0.00196295 | + | 0.00344480i | ||||
\(269\) | −25.2576 | + | 10.4620i | −1.53998 | + | 0.637882i | −0.981471 | − | 0.191613i | \(-0.938628\pi\) |
−0.558514 | + | 0.829495i | \(0.688628\pi\) | |||||||
\(270\) | −8.78051 | + | 5.29833i | −0.534365 | + | 0.322446i | ||||
\(271\) | −2.59431 | −0.157593 | −0.0787965 | − | 0.996891i | \(-0.525108\pi\) | ||||
−0.0787965 | + | 0.996891i | \(0.525108\pi\) | |||||||
\(272\) | −3.06077 | + | 5.16553i | −0.185587 | + | 0.313206i | ||||
\(273\) | 1.11625 | − | 1.11625i | 0.0675584 | − | 0.0675584i | ||||
\(274\) | 3.38460 | + | 1.15960i | 0.204471 | + | 0.0700543i | ||||
\(275\) | −15.3784 | − | 24.1027i | −0.927351 | − | 1.45345i | ||||
\(276\) | 3.99962 | + | 7.01895i | 0.240749 | + | 0.422491i | ||||
\(277\) | −14.3113 | + | 5.92794i | −0.859883 | + | 0.356175i | −0.768662 | − | 0.639655i | \(-0.779077\pi\) |
−0.0912215 | + | 0.995831i | \(0.529077\pi\) | |||||||
\(278\) | 3.36498 | − | 3.81519i | 0.201818 | − | 0.228820i | ||||
\(279\) | 7.49000 | − | 7.49000i | 0.448415 | − | 0.448415i | ||||
\(280\) | −2.51316 | + | 4.49372i | −0.150190 | + | 0.268551i | ||||
\(281\) | −10.7050 | − | 10.7050i | −0.638609 | − | 0.638609i | 0.311603 | − | 0.950212i | \(-0.399134\pi\) |
−0.950212 | + | 0.311603i | \(0.899134\pi\) | |||||||
\(282\) | 6.31845 | − | 0.396185i | 0.376258 | − | 0.0235924i | ||||
\(283\) | −6.62305 | − | 15.9895i | −0.393700 | − | 0.950475i | −0.989127 | − | 0.147066i | \(-0.953017\pi\) |
0.595427 | − | 0.803409i | \(-0.296983\pi\) | |||||||
\(284\) | 9.47060 | − | 1.19235i | 0.561977 | − | 0.0707532i | ||||
\(285\) | −2.09203 | − | 4.01538i | −0.123921 | − | 0.237851i | ||||
\(286\) | −24.6375 | + | 12.0633i | −1.45685 | + | 0.713320i | ||||
\(287\) | 6.07492 | + | 6.07492i | 0.358591 | + | 0.358591i | ||||
\(288\) | −9.80890 | − | 11.5093i | −0.577995 | − | 0.678193i | ||||
\(289\) | − | 14.7468i | − | 0.867459i | ||||||
\(290\) | −5.48528 | − | 9.09033i | −0.322107 | − | 0.533802i | ||||
\(291\) | −1.95342 | − | 4.71597i | −0.114511 | − | 0.276455i | ||||
\(292\) | 10.5239 | + | 8.17028i | 0.615864 | + | 0.478130i | ||||
\(293\) | 11.2873 | − | 4.67536i | 0.659412 | − | 0.273137i | −0.0277793 | − | 0.999614i | \(-0.508844\pi\) |
0.687191 | + | 0.726477i | \(0.258844\pi\) | |||||||
\(294\) | 3.84216 | + | 3.38876i | 0.224079 | + | 0.197636i | ||||
\(295\) | −14.1166 | + | 1.23993i | −0.821901 | + | 0.0721915i | ||||
\(296\) | −10.2884 | − | 7.00149i | −0.597999 | − | 0.406954i | ||||
\(297\) | 18.5439i | 1.07603i | ||||||||
\(298\) | 9.28810 | + | 8.19205i | 0.538045 | + | 0.474553i | ||||
\(299\) | −22.1460 | − | 9.17316i | −1.28073 | − | 0.530498i | ||||
\(300\) | 0.526508 | − | 5.69199i | 0.0303980 | − | 0.328627i | ||||
\(301\) | −1.14679 | − | 2.76860i | −0.0660999 | − | 0.159579i | ||||
\(302\) | 6.27648 | − | 3.07317i | 0.361171 | − | 0.176841i | ||||
\(303\) | −3.92047 | − | 3.92047i | −0.225225 | − | 0.225225i | ||||
\(304\) | 11.3378 | − | 8.49774i | 0.650270 | − | 0.487379i | ||||
\(305\) | −26.6641 | − | 22.3582i | −1.52678 | − | 1.28023i | ||||
\(306\) | −5.36848 | − | 1.83931i | −0.306895 | − | 0.105146i | ||||
\(307\) | 6.02953 | − | 14.5566i | 0.344124 | − | 0.830788i | −0.653166 | − | 0.757215i | \(-0.726560\pi\) |
0.997290 | − | 0.0735732i | \(-0.0234403\pi\) | |||||||
\(308\) | 4.60939 | + | 8.08904i | 0.262644 | + | 0.460916i | ||||
\(309\) | 2.59533 | − | 6.26567i | 0.147643 | − | 0.356442i | ||||
\(310\) | 1.87535 | + | 12.3891i | 0.106513 | + | 0.703653i | ||||
\(311\) | 18.4513 | + | 18.4513i | 1.04628 | + | 1.04628i | 0.998876 | + | 0.0474028i | \(0.0150944\pi\) |
0.0474028 | + | 0.998876i | \(0.484906\pi\) | |||||||
\(312\) | −5.37000 | − | 1.11562i | −0.304016 | − | 0.0631595i | ||||
\(313\) | 30.4836i | 1.72304i | 0.507726 | + | 0.861519i | \(0.330486\pi\) | ||||
−0.507726 | + | 0.861519i | \(0.669514\pi\) | |||||||
\(314\) | −7.96742 | − | 7.02721i | −0.449627 | − | 0.396568i | ||||
\(315\) | −4.64153 | − | 1.46171i | −0.261520 | − | 0.0823583i | ||||
\(316\) | −4.24145 | + | 5.46328i | −0.238600 | + | 0.307333i | ||||
\(317\) | 9.39280 | − | 22.6762i | 0.527552 | − | 1.27362i | −0.405570 | − | 0.914064i | \(-0.632927\pi\) |
0.933122 | − | 0.359559i | \(-0.117073\pi\) | |||||||
\(318\) | 1.19748 | − | 3.49513i | 0.0671511 | − | 0.195997i | ||||
\(319\) | −19.1982 | −1.07489 | ||||||||
\(320\) | 17.8439 | − | 1.26252i | 0.997506 | − | 0.0705772i | ||||
\(321\) | 10.4040 | 0.580697 | ||||||||
\(322\) | −2.63680 | + | 7.69615i | −0.146943 | + | 0.428890i | ||||
\(323\) | 2.03477 | − | 4.91237i | 0.113218 | − | 0.273332i | ||||
\(324\) | 7.56241 | − | 9.74091i | 0.420134 | − | 0.541161i | ||||
\(325\) | 9.12316 | + | 14.2988i | 0.506062 | + | 0.793155i | ||||
\(326\) | 21.5785 | + | 19.0321i | 1.19512 | + | 1.05409i | ||||
\(327\) | − | 4.39393i | − | 0.242985i | ||||||
\(328\) | 6.07150 | − | 29.2250i | 0.335242 | − | 1.61368i | ||||
\(329\) | 4.50806 | + | 4.50806i | 0.248537 | + | 0.248537i | ||||
\(330\) | −8.32053 | − | 6.13272i | −0.458030 | − | 0.337595i | ||||
\(331\) | 6.75682 | − | 16.3124i | 0.371388 | − | 0.896611i | −0.622127 | − | 0.782916i | \(-0.713731\pi\) |
0.993516 | − | 0.113695i | \(-0.0362686\pi\) | |||||||
\(332\) | 3.86544 | + | 6.78349i | 0.212144 | + | 0.372292i | ||||
\(333\) | 4.50110 | − | 10.8666i | 0.246659 | − | 0.595487i | ||||
\(334\) | −12.6661 | − | 4.33956i | −0.693057 | − | 0.237450i | ||||
\(335\) | −0.00634957 | − | 0.0722899i | −0.000346914 | − | 0.00394962i | ||||
\(336\) | −0.263832 | + | 1.84263i | −0.0143932 | + | 0.100524i | ||||
\(337\) | −11.1980 | − | 11.1980i | −0.609996 | − | 0.609996i | 0.332949 | − | 0.942945i | \(-0.391956\pi\) |
−0.942945 | + | 0.332949i | \(0.891956\pi\) | |||||||
\(338\) | −1.89565 | + | 0.928171i | −0.103110 | + | 0.0504858i | ||||
\(339\) | 1.99719 | + | 4.82164i | 0.108472 | + | 0.261875i | ||||
\(340\) | 5.51932 | − | 3.82112i | 0.299327 | − | 0.207229i | ||||
\(341\) | 20.9329 | + | 8.67071i | 1.13358 | + | 0.469545i | ||||
\(342\) | 10.0433 | + | 8.85809i | 0.543077 | + | 0.478991i | ||||
\(343\) | 10.8577i | 0.586261i | ||||||||
\(344\) | −5.85765 | + | 8.60754i | −0.315823 | + | 0.464087i | ||||
\(345\) | −0.790288 | − | 8.99743i | −0.0425477 | − | 0.484405i | ||||
\(346\) | −6.47579 | − | 5.71161i | −0.348141 | − | 0.307058i | ||||
\(347\) | −29.3103 | + | 12.1407i | −1.57346 | + | 0.651748i | −0.987360 | − | 0.158493i | \(-0.949337\pi\) |
−0.586098 | + | 0.810240i | \(0.699337\pi\) | |||||||
\(348\) | −3.03193 | − | 2.35385i | −0.162528 | − | 0.126180i | ||||
\(349\) | 2.08028 | + | 5.02224i | 0.111355 | + | 0.268834i | 0.969726 | − | 0.244194i | \(-0.0785234\pi\) |
−0.858371 | + | 0.513029i | \(0.828523\pi\) | |||||||
\(350\) | 4.64955 | − | 3.39390i | 0.248529 | − | 0.181412i | ||||
\(351\) | − | 11.0011i | − | 0.587195i | ||||||
\(352\) | 14.7155 | − | 28.8057i | 0.784340 | − | 1.53535i | ||||
\(353\) | 7.92828 | + | 7.92828i | 0.421980 | + | 0.421980i | 0.885885 | − | 0.463905i | \(-0.153552\pi\) |
−0.463905 | + | 0.885885i | \(0.653552\pi\) | |||||||
\(354\) | −4.60127 | + | 2.25294i | −0.244555 | + | 0.119742i | ||||
\(355\) | −10.1792 | − | 3.20565i | −0.540256 | − | 0.170138i | ||||
\(356\) | 1.88052 | − | 0.236759i | 0.0996674 | − | 0.0125482i | ||||
\(357\) | 0.267315 | + | 0.645356i | 0.0141478 | + | 0.0341558i | ||||
\(358\) | −29.1606 | + | 1.82845i | −1.54119 | + | 0.0966368i | ||||
\(359\) | 1.49806 | + | 1.49806i | 0.0790646 | + | 0.0790646i | 0.745533 | − | 0.666469i | \(-0.232195\pi\) |
−0.666469 | + | 0.745533i | \(0.732195\pi\) | |||||||
\(360\) | 4.59875 | + | 16.2696i | 0.242375 | + | 0.857484i | ||||
\(361\) | 4.56268 | − | 4.56268i | 0.240141 | − | 0.240141i | ||||
\(362\) | −6.68106 | + | 7.57495i | −0.351149 | + | 0.398130i | ||||
\(363\) | −11.4587 | + | 4.74635i | −0.601425 | + | 0.249119i | ||||
\(364\) | −2.73450 | − | 4.79879i | −0.143327 | − | 0.251525i | ||||
\(365\) | −6.88261 | − | 13.2103i | −0.360252 | − | 0.691459i | ||||
\(366\) | −11.9012 | − | 4.07749i | −0.622084 | − | 0.213134i | ||||
\(367\) | −14.1446 | + | 14.1446i | −0.738341 | + | 0.738341i | −0.972257 | − | 0.233916i | \(-0.924846\pi\) |
0.233916 | + | 0.972257i | \(0.424846\pi\) | |||||||
\(368\) | 27.3829 | − | 7.00610i | 1.42743 | − | 0.365218i | ||||
\(369\) | 28.2113 | 1.46862 | ||||||||
\(370\) | 7.18844 | + | 11.9128i | 0.373709 | + | 0.619319i | ||||
\(371\) | 3.43734 | − | 1.42379i | 0.178458 | − | 0.0739196i | ||||
\(372\) | 2.24279 | + | 3.93589i | 0.116283 | + | 0.204066i | ||||
\(373\) | −0.896464 | − | 2.16426i | −0.0464172 | − | 0.112061i | 0.898970 | − | 0.438009i | \(-0.144316\pi\) |
−0.945388 | + | 0.325949i | \(0.894316\pi\) | |||||||
\(374\) | −0.759635 | − | 12.1148i | −0.0392798 | − | 0.626444i | ||||
\(375\) | −3.18979 | + | 5.53806i | −0.164720 | + | 0.285984i | ||||
\(376\) | 4.50552 | − | 21.6872i | 0.232354 | − | 1.11843i | ||||
\(377\) | 11.3893 | 0.586577 | ||||||||
\(378\) | −3.72631 | + | 0.233650i | −0.191661 | + | 0.0120177i | ||||
\(379\) | 10.1581 | − | 24.5237i | 0.521785 | − | 1.25970i | −0.415009 | − | 0.909817i | \(-0.636222\pi\) |
0.936794 | − | 0.349882i | \(-0.113778\pi\) | |||||||
\(380\) | −15.4838 | + | 3.34645i | −0.794304 | + | 0.171669i | ||||
\(381\) | 4.20579 | − | 1.74209i | 0.215469 | − | 0.0892502i | ||||
\(382\) | −17.5650 | − | 6.01799i | −0.898705 | − | 0.307907i | ||||
\(383\) | −15.2971 | + | 15.2971i | −0.781643 | + | 0.781643i | −0.980108 | − | 0.198465i | \(-0.936404\pi\) |
0.198465 | + | 0.980108i | \(0.436404\pi\) | |||||||
\(384\) | 5.85579 | − | 2.74497i | 0.298827 | − | 0.140079i | ||||
\(385\) | −0.910773 | − | 10.3692i | −0.0464173 | − | 0.528461i | ||||
\(386\) | 21.0333 | − | 10.2986i | 1.07056 | − | 0.524184i | ||||
\(387\) | −9.09131 | − | 3.76575i | −0.462137 | − | 0.191424i | ||||
\(388\) | −17.7197 | + | 2.23092i | −0.899582 | + | 0.113258i | ||||
\(389\) | 7.41607 | + | 3.07184i | 0.376010 | + | 0.155748i | 0.562681 | − | 0.826674i | \(-0.309770\pi\) |
−0.186671 | + | 0.982422i | \(0.559770\pi\) | |||||||
\(390\) | 4.93612 | + | 3.63821i | 0.249950 | + | 0.184228i | ||||
\(391\) | 7.50019 | − | 7.50019i | 0.379301 | − | 0.379301i | ||||
\(392\) | 14.9876 | − | 9.83146i | 0.756990 | − | 0.496564i | ||||
\(393\) | 1.32493 | 0.0668341 | ||||||||
\(394\) | 29.9985 | − | 1.88099i | 1.51130 | − | 0.0947631i | ||||
\(395\) | 6.85787 | − | 3.57298i | 0.345057 | − | 0.179776i | ||||
\(396\) | 29.4851 | + | 8.07958i | 1.48168 | + | 0.406014i | ||||
\(397\) | 0.409833 | + | 0.169758i | 0.0205689 | + | 0.00851993i | 0.392944 | − | 0.919562i | \(-0.371457\pi\) |
−0.372375 | + | 0.928082i | \(0.621457\pi\) | |||||||
\(398\) | 14.4932 | − | 7.09636i | 0.726480 | − | 0.355709i | ||||
\(399\) | − | 1.64840i | − | 0.0825230i | ||||||
\(400\) | −18.7201 | − | 7.03977i | −0.936004 | − | 0.351989i | ||||
\(401\) | 16.5372i | 0.825828i | 0.910770 | + | 0.412914i | \(0.135489\pi\) | ||||
−0.910770 | + | 0.412914i | \(0.864511\pi\) | |||||||
\(402\) | −0.0115371 | − | 0.0235627i | −0.000575417 | − | 0.00117520i | ||||
\(403\) | −12.4184 | − | 5.14386i | −0.618604 | − | 0.256234i | ||||
\(404\) | −16.8543 | + | 9.60408i | −0.838531 | + | 0.477821i | ||||
\(405\) | −12.2274 | + | 6.37054i | −0.607586 | + | 0.316555i | ||||
\(406\) | −0.241895 | − | 3.85779i | −0.0120050 | − | 0.191459i | ||||
\(407\) | 25.1592 | 1.24710 | ||||||||
\(408\) | 1.36541 | − | 2.00640i | 0.0675978 | − | 0.0993318i | ||||
\(409\) | −0.392350 | + | 0.392350i | −0.0194005 | + | 0.0194005i | −0.716740 | − | 0.697340i | \(-0.754367\pi\) |
0.697340 | + | 0.716740i | \(0.254367\pi\) | |||||||
\(410\) | −19.8001 | + | 26.8637i | −0.977858 | + | 1.32670i | ||||
\(411\) | −1.33605 | − | 0.553410i | −0.0659024 | − | 0.0272977i | ||||
\(412\) | −18.7430 | − | 14.5512i | −0.923401 | − | 0.716887i | ||||
\(413\) | −4.76651 | − | 1.97435i | −0.234545 | − | 0.0971516i | ||||
\(414\) | 11.7475 | + | 23.9925i | 0.577360 | + | 1.17917i | ||||
\(415\) | −0.763776 | − | 8.69559i | −0.0374923 | − | 0.426850i | ||||
\(416\) | −8.72993 | + | 17.0889i | −0.428020 | + | 0.837850i | ||||
\(417\) | −1.45397 | + | 1.45397i | −0.0712013 | + | 0.0712013i | ||||
\(418\) | −9.28431 | + | 27.0986i | −0.454110 | + | 1.32544i | ||||
\(419\) | 25.8254 | − | 10.6972i | 1.26166 | − | 0.522595i | 0.351238 | − | 0.936286i | \(-0.385761\pi\) |
0.910417 | + | 0.413692i | \(0.135761\pi\) | |||||||
\(420\) | 1.12750 | − | 1.74924i | 0.0550166 | − | 0.0853543i | ||||
\(421\) | 1.04149 | − | 2.51437i | 0.0507590 | − | 0.122543i | −0.896466 | − | 0.443112i | \(-0.853874\pi\) |
0.947225 | + | 0.320569i | \(0.103874\pi\) | |||||||
\(422\) | −1.31570 | − | 20.9831i | −0.0640473 | − | 1.02144i | ||||
\(423\) | 20.9349 | 1.01789 | ||||||||
\(424\) | −10.6867 | − | 7.27254i | −0.518990 | − | 0.353186i | ||||
\(425\) | −7.39040 | + | 1.30836i | −0.358487 | + | 0.0634649i | ||||
\(426\) | −3.85069 | + | 0.241449i | −0.186567 | + | 0.0116983i | ||||
\(427\) | −4.84811 | − | 11.7044i | −0.234617 | − | 0.566415i | ||||
\(428\) | 9.62016 | − | 35.1072i | 0.465008 | − | 1.69697i | ||||
\(429\) | 10.2442 | − | 4.24327i | 0.494592 | − | 0.204867i | ||||
\(430\) | 9.96662 | − | 6.01405i | 0.480633 | − | 0.290023i | ||||
\(431\) | −40.5492 | −1.95319 | −0.976593 | − | 0.215096i | \(-0.930994\pi\) | ||||
−0.976593 | + | 0.215096i | \(0.930994\pi\) | |||||||
\(432\) | 7.77986 | + | 10.3800i | 0.374309 | + | 0.499410i | ||||
\(433\) | −3.57791 | + | 3.57791i | −0.171943 | + | 0.171943i | −0.787833 | − | 0.615889i | \(-0.788797\pi\) |
0.615889 | + | 0.787833i | \(0.288797\pi\) | |||||||
\(434\) | −1.47859 | + | 4.31563i | −0.0709744 | + | 0.207157i | ||||
\(435\) | 1.98288 | + | 3.80588i | 0.0950717 | + | 0.182478i | ||||
\(436\) | −14.8268 | − | 4.06288i | −0.710074 | − | 0.194577i | ||||
\(437\) | −23.1249 | + | 9.57866i | −1.10622 | + | 0.458210i | ||||
\(438\) | −4.03878 | − | 3.56218i | −0.192980 | − | 0.170207i | ||||
\(439\) | 24.2044 | − | 24.2044i | 1.15521 | − | 1.15521i | 0.169720 | − | 0.985492i | \(-0.445714\pi\) |
0.985492 | − | 0.169720i | \(-0.0542864\pi\) | |||||||
\(440\) | −28.3878 | + | 22.4060i | −1.35333 | + | 1.06816i | ||||
\(441\) | 11.9791 | + | 11.9791i | 0.570434 | + | 0.570434i | ||||
\(442\) | 0.450651 | + | 7.18708i | 0.0214353 | + | 0.341855i | ||||
\(443\) | −1.58086 | − | 3.81653i | −0.0751088 | − | 0.181329i | 0.881866 | − | 0.471501i | \(-0.156288\pi\) |
−0.956975 | + | 0.290172i | \(0.906288\pi\) | |||||||
\(444\) | 3.97333 | + | 3.08472i | 0.188566 | + | 0.146394i | ||||
\(445\) | −2.02123 | − | 0.636527i | −0.0958153 | − | 0.0301743i | ||||
\(446\) | −1.94413 | − | 3.97057i | −0.0920570 | − | 0.188012i | ||||
\(447\) | −3.53970 | − | 3.53970i | −0.167422 | − | 0.167422i | ||||
\(448\) | 5.97378 | + | 2.59407i | 0.282235 | + | 0.122558i | ||||
\(449\) | 19.5593i | 0.923061i | 0.887124 | + | 0.461531i | \(0.152700\pi\) | ||||
−0.887124 | + | 0.461531i | \(0.847300\pi\) | |||||||
\(450\) | 2.91555 | − | 18.6765i | 0.137440 | − | 0.880417i | ||||
\(451\) | 23.0930 | + | 55.7514i | 1.08741 | + | 2.62523i | ||||
\(452\) | 18.1168 | − | 2.28091i | 0.852141 | − | 0.107285i | ||||
\(453\) | −2.60973 | + | 1.08099i | −0.122616 | + | 0.0507892i | ||||
\(454\) | 9.42322 | − | 10.6840i | 0.442253 | − | 0.501425i | ||||
\(455\) | 0.540312 | + | 6.15146i | 0.0253302 | + | 0.288385i | ||||
\(456\) | −4.78875 | + | 3.14128i | −0.224254 | + | 0.147104i | ||||
\(457\) | 18.8259i | 0.880638i | 0.897841 | + | 0.440319i | \(0.145135\pi\) | ||||
−0.897841 | + | 0.440319i | \(0.854865\pi\) | |||||||
\(458\) | 2.89193 | − | 3.27885i | 0.135131 | − | 0.153211i | ||||
\(459\) | 4.49738 | + | 1.86287i | 0.209920 | + | 0.0869515i | ||||
\(460\) | −31.0915 | − | 5.65280i | −1.44965 | − | 0.263563i | ||||
\(461\) | 10.5085 | + | 25.3698i | 0.489430 | + | 1.18159i | 0.955008 | + | 0.296582i | \(0.0958467\pi\) |
−0.465577 | + | 0.885007i | \(0.654153\pi\) | |||||||
\(462\) | −1.65486 | − | 3.37980i | −0.0769911 | − | 0.157242i | ||||
\(463\) | 27.5223 | + | 27.5223i | 1.27907 | + | 1.27907i | 0.941189 | + | 0.337881i | \(0.109710\pi\) |
0.337881 | + | 0.941189i | \(0.390290\pi\) | |||||||
\(464\) | −10.7463 | + | 8.05437i | −0.498884 | + | 0.373915i | ||||
\(465\) | −0.443155 | − | 5.04532i | −0.0205508 | − | 0.233971i | ||||
\(466\) | 8.87592 | − | 25.9066i | 0.411169 | − | 1.20010i | ||||
\(467\) | −14.3518 | + | 34.6483i | −0.664122 | + | 1.60333i | 0.127160 | + | 0.991882i | \(0.459414\pi\) |
−0.791282 | + | 0.611451i | \(0.790586\pi\) | |||||||
\(468\) | −17.4919 | − | 4.79318i | −0.808563 | − | 0.221565i | ||||
\(469\) | 0.0101105 | − | 0.0244089i | 0.000466859 | − | 0.00112710i | ||||
\(470\) | −14.6932 | + | 19.9349i | −0.677748 | + | 0.919530i | ||||
\(471\) | 3.03638 | + | 3.03638i | 0.139909 | + | 0.139909i | ||||
\(472\) | 3.34766 | + | 17.6096i | 0.154089 | + | 0.810549i | ||||
\(473\) | − | 21.0489i | − | 0.967829i | ||||||
\(474\) | 1.84924 | − | 2.09665i | 0.0849382 | − | 0.0963025i | ||||
\(475\) | 17.2940 | + | 3.82151i | 0.793501 | + | 0.175343i | ||||
\(476\) | 2.42485 | − | 0.305290i | 0.111143 | − | 0.0139930i | ||||
\(477\) | 4.67535 | − | 11.2873i | 0.214069 | − | 0.516809i | ||||
\(478\) | 1.46019 | + | 0.500278i | 0.0667874 | + | 0.0228822i | ||||
\(479\) | 23.0553 | 1.05342 | 0.526711 | − | 0.850044i | \(-0.323425\pi\) | ||||
0.526711 | + | 0.850044i | \(0.323425\pi\) | |||||||
\(480\) | −7.23036 | + | 0.0579533i | −0.330019 | + | 0.00264520i | ||||
\(481\) | −14.9256 | −0.680549 | ||||||||
\(482\) | −0.443401 | − | 0.151915i | −0.0201964 | − | 0.00691952i | ||||
\(483\) | 1.25838 | − | 3.03801i | 0.0572584 | − | 0.138234i | ||||
\(484\) | 5.42062 | + | 43.0547i | 0.246392 | + | 1.95703i | ||||
\(485\) | 19.0455 | + | 5.99784i | 0.864813 | + | 0.272348i | ||||
\(486\) | −12.3982 | + | 14.0570i | −0.562394 | + | 0.637639i | ||||
\(487\) | − | 7.07071i | − | 0.320404i | −0.987084 | − | 0.160202i | \(-0.948785\pi\) | ||
0.987084 | − | 0.160202i | \(-0.0512146\pi\) | |||||||
\(488\) | −24.7635 | + | 36.3888i | −1.12099 | + | 1.64724i | ||||
\(489\) | −8.22358 | − | 8.22358i | −0.371883 | − | 0.371883i | ||||
\(490\) | −19.8145 | + | 2.99934i | −0.895126 | + | 0.135496i | ||||
\(491\) | 10.6204 | − | 25.6398i | 0.479290 | − | 1.15711i | −0.480652 | − | 0.876911i | \(-0.659600\pi\) |
0.959942 | − | 0.280198i | \(-0.0904000\pi\) | |||||||
\(492\) | −3.18855 | + | 11.6361i | −0.143751 | + | 0.524595i | ||||
\(493\) | −1.92861 | + | 4.65607i | −0.0868601 | + | 0.209699i | ||||
\(494\) | 5.50788 | − | 16.0761i | 0.247811 | − | 0.723300i | ||||
\(495\) | −26.1914 | − | 21.9618i | −1.17721 | − | 0.987111i | ||||
\(496\) | 15.3550 | − | 3.92868i | 0.689460 | − | 0.176403i | ||||
\(497\) | −2.74738 | − | 2.74738i | −0.123237 | − | 0.123237i | ||||
\(498\) | −1.38777 | − | 2.83430i | −0.0621874 | − | 0.127008i | ||||
\(499\) | 2.84790 | + | 6.87545i | 0.127490 | + | 0.307787i | 0.974717 | − | 0.223443i | \(-0.0717298\pi\) |
−0.847227 | + | 0.531231i | \(0.821730\pi\) | |||||||
\(500\) | 15.7381 | + | 15.8844i | 0.703827 | + | 0.710371i | ||||
\(501\) | 4.99986 | + | 2.07101i | 0.223377 | + | 0.0925258i | ||||
\(502\) | −17.9961 | + | 20.4039i | −0.803204 | + | 0.910669i | ||||
\(503\) | − | 19.9623i | − | 0.890075i | −0.895512 | − | 0.445038i | \(-0.853190\pi\) | ||
0.895512 | − | 0.445038i | \(-0.146810\pi\) | |||||||
\(504\) | −1.25205 | + | 6.02669i | −0.0557706 | + | 0.268450i | ||||
\(505\) | 21.6051 | − | 1.89768i | 0.961414 | − | 0.0844456i | ||||
\(506\) | −37.7981 | + | 42.8553i | −1.68033 | + | 1.90515i | ||||
\(507\) | 0.788200 | − | 0.326483i | 0.0350052 | − | 0.0144996i | ||||
\(508\) | −1.98958 | − | 15.8028i | −0.0882732 | − | 0.701134i | ||||
\(509\) | −6.53636 | − | 15.7802i | −0.289719 | − | 0.699444i | 0.710271 | − | 0.703928i | \(-0.248572\pi\) |
−0.999990 | + | 0.00448484i | \(0.998572\pi\) | |||||||
\(510\) | −2.32320 | + | 1.40187i | −0.102873 | + | 0.0620757i | ||||
\(511\) | − | 5.42310i | − | 0.239904i | ||||||
\(512\) | −3.84797 | − | 22.2978i | −0.170058 | − | 0.985434i | ||||
\(513\) | −8.12282 | − | 8.12282i | −0.358631 | − | 0.358631i | ||||
\(514\) | −16.4156 | − | 33.5264i | −0.724063 | − | 1.47879i | ||||
\(515\) | 12.2579 | + | 23.5275i | 0.540147 | + | 1.03674i | ||||
\(516\) | 2.58076 | − | 3.32420i | 0.113612 | − | 0.146340i | ||||
\(517\) | 17.1368 | + | 41.3719i | 0.753675 | + | 1.81953i | ||||
\(518\) | 0.317002 | + | 5.05562i | 0.0139283 | + | 0.222131i | ||||
\(519\) | 2.46793 | + | 2.46793i | 0.108330 | + | 0.108330i | ||||
\(520\) | 16.8409 | − | 13.2923i | 0.738524 | − | 0.582904i | ||||
\(521\) | 12.1901 | − | 12.1901i | 0.534059 | − | 0.534059i | −0.387719 | − | 0.921778i | \(-0.626737\pi\) |
0.921778 | + | 0.387719i | \(0.126737\pi\) | |||||||
\(522\) | −9.51925 | − | 8.39592i | −0.416646 | − | 0.367480i | ||||
\(523\) | 11.7545 | − | 4.86887i | 0.513988 | − | 0.212901i | −0.110586 | − | 0.993867i | \(-0.535273\pi\) |
0.624574 | + | 0.780966i | \(0.285273\pi\) | |||||||
\(524\) | 1.22511 | − | 4.47083i | 0.0535191 | − | 0.195309i | ||||
\(525\) | −1.96153 | + | 1.25152i | −0.0856080 | + | 0.0546210i | ||||
\(526\) | 10.4576 | − | 30.5231i | 0.455972 | − | 1.33087i | ||||
\(527\) | 4.20574 | − | 4.20574i | 0.183205 | − | 0.183205i | ||||
\(528\) | −6.66503 | + | 11.2483i | −0.290058 | + | 0.489518i | ||||
\(529\) | −26.9318 | −1.17095 | ||||||||
\(530\) | 7.46672 | + | 12.3740i | 0.324334 | + | 0.537493i | ||||
\(531\) | −15.6519 | + | 6.48324i | −0.679236 | + | 0.281349i | ||||
\(532\) | −5.56232 | − | 1.52420i | −0.241157 | − | 0.0660825i | ||||
\(533\) | −13.6998 | − | 33.0743i | −0.593406 | − | 1.43261i | ||||
\(534\) | −0.764610 | + | 0.0479432i | −0.0330879 | + | 0.00207471i | ||||
\(535\) | −26.1495 | + | 31.1855i | −1.13054 | + | 1.34826i | ||||
\(536\) | −0.0901773 | + | 0.0171431i | −0.00389507 | + | 0.000740469i | ||||
\(537\) | 11.8099 | 0.509637 | ||||||||
\(538\) | −2.41951 | − | 38.5869i | −0.104312 | − | 1.66360i | ||||
\(539\) | −13.8675 | + | 33.4790i | −0.597314 | + | 1.44204i | ||||
\(540\) | −3.06375 | − | 14.1758i | −0.131843 | − | 0.610028i | ||||
\(541\) | −31.1777 | + | 12.9142i | −1.34043 | + | 0.555226i | −0.933614 | − | 0.358282i | \(-0.883363\pi\) |
−0.406821 | + | 0.913508i | \(0.633363\pi\) | |||||||
\(542\) | 1.18915 | − | 3.47085i | 0.0510786 | − | 0.149086i | ||||
\(543\) | 2.88681 | − | 2.88681i | 0.123885 | − | 0.123885i | ||||
\(544\) | −5.50784 | − | 6.46265i | −0.236147 | − | 0.277084i | ||||
\(545\) | 13.1705 | + | 11.0437i | 0.564164 | + | 0.473059i | ||||
\(546\) | 0.981740 | + | 2.00505i | 0.0420146 | + | 0.0858083i | ||||
\(547\) | 13.2471 | + | 5.48713i | 0.566406 | + | 0.234613i | 0.647463 | − | 0.762097i | \(-0.275830\pi\) |
−0.0810579 | + | 0.996709i | \(0.525830\pi\) | |||||||
\(548\) | −3.10280 | + | 3.99662i | −0.132545 | + | 0.170727i | ||||
\(549\) | −38.4340 | − | 15.9199i | −1.64032 | − | 0.679444i | ||||
\(550\) | 39.2952 | − | 9.52632i | 1.67555 | − | 0.406204i | ||||
\(551\) | 8.40943 | − | 8.40943i | 0.358254 | − | 0.358254i | ||||
\(552\) | −11.2238 | + | 2.13368i | −0.477715 | + | 0.0908156i | ||||
\(553\) | 2.81530 | 0.119719 | ||||||||
\(554\) | −1.37093 | − | 21.8639i | −0.0582451 | − | 0.928907i | ||||
\(555\) | −2.59855 | − | 4.98759i | −0.110302 | − | 0.211711i | ||||
\(556\) | 3.56183 | + | 6.25067i | 0.151055 | + | 0.265088i | ||||
\(557\) | −3.20913 | − | 1.32926i | −0.135975 | − | 0.0563227i | 0.313658 | − | 0.949536i | \(-0.398445\pi\) |
−0.449633 | + | 0.893213i | \(0.648445\pi\) | |||||||
\(558\) | 6.58745 | + | 13.4538i | 0.278869 | + | 0.569547i | ||||
\(559\) | 12.4872i | 0.528151i | ||||||||
\(560\) | −4.86006 | − | 5.42208i | −0.205375 | − | 0.229125i | ||||
\(561\) | 4.90647i | 0.207151i | ||||||||
\(562\) | 19.2288 | − | 9.41507i | 0.811119 | − | 0.397151i | ||||
\(563\) | 6.50253 | + | 2.69344i | 0.274049 | + | 0.113515i | 0.515476 | − | 0.856904i | \(-0.327615\pi\) |
−0.241427 | + | 0.970419i | \(0.577615\pi\) | |||||||
\(564\) | −2.36615 | + | 8.63486i | −0.0996328 | + | 0.363593i | ||||
\(565\) | −19.4723 | − | 6.13224i | −0.819205 | − | 0.257985i | ||||
\(566\) | 24.4276 | − | 1.53168i | 1.02677 | − | 0.0643814i | ||||
\(567\) | −5.01961 | −0.210804 | ||||||||
\(568\) | −2.74583 | + | 13.2170i | −0.115212 | + | 0.554572i | ||||
\(569\) | −3.51818 | + | 3.51818i | −0.147490 | + | 0.147490i | −0.776996 | − | 0.629506i | \(-0.783257\pi\) |
0.629506 | + | 0.776996i | \(0.283257\pi\) | |||||||
\(570\) | 6.33098 | − | 0.958329i | 0.265176 | − | 0.0401400i | ||||
\(571\) | 2.80418 | + | 1.16153i | 0.117351 | + | 0.0486085i | 0.440587 | − | 0.897710i | \(-0.354771\pi\) |
−0.323235 | + | 0.946319i | \(0.604771\pi\) | |||||||
\(572\) | −4.84607 | − | 38.4912i | −0.202624 | − | 1.60940i | ||||
\(573\) | 6.93368 | + | 2.87203i | 0.289659 | + | 0.119981i | ||||
\(574\) | −10.9120 | + | 5.34289i | −0.455459 | + | 0.223008i | ||||
\(575\) | 28.9555 | + | 20.2453i | 1.20753 | + | 0.844286i | ||||
\(576\) | 19.8941 | − | 7.84750i | 0.828920 | − | 0.326979i | ||||
\(577\) | 13.9476 | − | 13.9476i | 0.580648 | − | 0.580648i | −0.354434 | − | 0.935081i | \(-0.615326\pi\) |
0.935081 | + | 0.354434i | \(0.115326\pi\) | |||||||
\(578\) | 19.7293 | + | 6.75951i | 0.820631 | + | 0.281158i | ||||
\(579\) | −8.74553 | + | 3.62252i | −0.363452 | + | 0.150547i | ||||
\(580\) | 14.6760 | − | 3.17185i | 0.609386 | − | 0.131704i | ||||
\(581\) | 1.21617 | − | 2.93609i | 0.0504552 | − | 0.121810i | ||||
\(582\) | 7.20474 | − | 0.451757i | 0.298646 | − | 0.0187259i | ||||
\(583\) | 26.1332 | 1.08233 | ||||||||
\(584\) | −15.7546 | + | 10.3346i | −0.651931 | + | 0.427648i | ||||
\(585\) | 15.5379 | + | 13.0288i | 0.642414 | + | 0.538674i | ||||
\(586\) | 1.08125 | + | 17.2440i | 0.0446659 | + | 0.712343i | ||||
\(587\) | −3.45809 | − | 8.34857i | −0.142731 | − | 0.344583i | 0.836307 | − | 0.548261i | \(-0.184710\pi\) |
−0.979038 | + | 0.203679i | \(0.934710\pi\) | |||||||
\(588\) | −6.29485 | + | 3.58700i | −0.259595 | + | 0.147925i | ||||
\(589\) | −12.9673 | + | 5.37125i | −0.534310 | + | 0.221318i | ||||
\(590\) | 4.81178 | − | 19.4545i | 0.198098 | − | 0.800931i | ||||
\(591\) | −12.1493 | −0.499755 | ||||||||
\(592\) | 14.0830 | − | 10.5552i | 0.578807 | − | 0.433817i | ||||
\(593\) | 26.7663 | − | 26.7663i | 1.09916 | − | 1.09916i | 0.104650 | − | 0.994509i | \(-0.466628\pi\) |
0.994509 | − | 0.104650i | \(-0.0333722\pi\) | |||||||
\(594\) | −24.8093 | − | 8.49998i | −1.01794 | − | 0.348758i | ||||
\(595\) | −2.60628 | − | 0.820774i | −0.106847 | − | 0.0336484i | ||||
\(596\) | −15.2173 | + | 8.67128i | −0.623325 | + | 0.355189i | ||||
\(597\) | −6.02621 | + | 2.49614i | −0.246637 | + | 0.102160i | ||||
\(598\) | 22.4236 | − | 25.4237i | 0.916968 | − | 1.03965i | ||||
\(599\) | 8.14906 | − | 8.14906i | 0.332961 | − | 0.332961i | −0.520749 | − | 0.853710i | \(-0.674347\pi\) |
0.853710 | + | 0.520749i | \(0.174347\pi\) | |||||||
\(600\) | 7.37380 | + | 3.31344i | 0.301034 | + | 0.135271i | ||||
\(601\) | 13.1584 | + | 13.1584i | 0.536742 | + | 0.536742i | 0.922570 | − | 0.385829i | \(-0.126084\pi\) |
−0.385829 | + | 0.922570i | \(0.626084\pi\) | |||||||
\(602\) | 4.22968 | − | 0.265213i | 0.172389 | − | 0.0108093i | ||||
\(603\) | −0.0332001 | − | 0.0801521i | −0.00135201 | − | 0.00326405i | ||||
\(604\) | 1.23455 | + | 9.80577i | 0.0502332 | + | 0.398991i | ||||
\(605\) | 14.5733 | − | 46.2762i | 0.592491 | − | 1.88139i | ||||
\(606\) | 7.04212 | − | 3.44806i | 0.286066 | − | 0.140068i | ||||
\(607\) | −22.6421 | − | 22.6421i | −0.919015 | − | 0.919015i | 0.0779425 | − | 0.996958i | \(-0.475165\pi\) |
−0.996958 | + | 0.0779425i | \(0.975165\pi\) | |||||||
\(608\) | 6.17194 | + | 19.0637i | 0.250305 | + | 0.773134i | ||||
\(609\) | 1.56239i | 0.0633113i | ||||||||
\(610\) | 42.1344 | − | 25.4247i | 1.70597 | − | 1.02942i | ||||
\(611\) | −10.1663 | − | 24.5437i | −0.411286 | − | 0.992932i | ||||
\(612\) | 4.92150 | − | 6.33924i | 0.198940 | − | 0.256249i | ||||
\(613\) | −26.0495 | + | 10.7901i | −1.05213 | + | 0.435807i | −0.840652 | − | 0.541576i | \(-0.817828\pi\) |
−0.211479 | + | 0.977383i | \(0.567828\pi\) | |||||||
\(614\) | 16.7110 | + | 14.7390i | 0.674403 | + | 0.594819i | ||||
\(615\) | 8.66709 | − | 10.3362i | 0.349491 | − | 0.416797i | ||||
\(616\) | −12.9349 | + | 2.45898i | −0.521162 | + | 0.0990751i | ||||
\(617\) | − | 3.20102i | − | 0.128868i | −0.997922 | − | 0.0644342i | \(-0.979476\pi\) | ||
0.997922 | − | 0.0644342i | \(-0.0205243\pi\) | |||||||
\(618\) | 7.19304 | + | 6.34421i | 0.289346 | + | 0.255202i | ||||
\(619\) | 19.1073 | + | 7.91452i | 0.767989 | + | 0.318111i | 0.732057 | − | 0.681243i | \(-0.238560\pi\) |
0.0359314 | + | 0.999354i | \(0.488560\pi\) | |||||||
\(620\) | −17.4346 | − | 3.16982i | −0.700190 | − | 0.127303i | ||||
\(621\) | −8.76947 | − | 21.1714i | −0.351907 | − | 0.849578i | ||||
\(622\) | −33.1430 | + | 16.2279i | −1.32891 | + | 0.650681i | ||||
\(623\) | −0.545531 | − | 0.545531i | −0.0218562 | − | 0.0218562i | ||||
\(624\) | 3.95400 | − | 6.67299i | 0.158287 | − | 0.267134i | ||||
\(625\) | −8.58278 | − | 23.4805i | −0.343311 | − | 0.939222i | ||||
\(626\) | −40.7831 | − | 13.9728i | −1.63002 | − | 0.558466i | ||||
\(627\) | 4.43084 | − | 10.6970i | 0.176951 | − | 0.427197i | ||||
\(628\) | 13.0535 | − | 7.43830i | 0.520892 | − | 0.296821i | ||||
\(629\) | 2.52743 | − | 6.10176i | 0.100775 | − | 0.243293i | ||||
\(630\) | 4.08312 | − | 5.53975i | 0.162676 | − | 0.220709i | ||||
\(631\) | 23.6372 | + | 23.6372i | 0.940983 | + | 0.940983i | 0.998353 | − | 0.0573701i | \(-0.0182715\pi\) |
−0.0573701 | + | 0.998353i | \(0.518272\pi\) | |||||||
\(632\) | −5.36500 | − | 8.17871i | −0.213408 | − | 0.325332i | ||||
\(633\) | 8.49808i | 0.337768i | ||||||||
\(634\) | 26.0324 | + | 22.9605i | 1.03388 | + | 0.911876i | ||||
\(635\) | −5.34898 | + | 16.9852i | −0.212268 | + | 0.674035i | ||||
\(636\) | 4.12715 | + | 3.20413i | 0.163652 | + | 0.127052i | ||||
\(637\) | 8.22682 | − | 19.8613i | 0.325959 | − | 0.786934i | ||||
\(638\) | 8.79990 | − | 25.6847i | 0.348392 | − | 1.01687i | ||||
\(639\) | −12.7585 | −0.504719 | ||||||||
\(640\) | −6.49004 | + | 24.4516i | −0.256542 | + | 0.966533i | ||||
\(641\) | −12.6311 | −0.498898 | −0.249449 | − | 0.968388i | \(-0.580250\pi\) | ||||
−0.249449 | + | 0.968388i | \(0.580250\pi\) | |||||||
\(642\) | −4.76891 | + | 13.9192i | −0.188214 | + | 0.549349i | ||||
\(643\) | −13.1896 | + | 31.8424i | −0.520145 | + | 1.25574i | 0.417667 | + | 0.908600i | \(0.362848\pi\) |
−0.937813 | + | 0.347142i | \(0.887152\pi\) | |||||||
\(644\) | −9.08782 | − | 7.05538i | −0.358110 | − | 0.278021i | ||||
\(645\) | −4.17276 | + | 2.17402i | −0.164302 | + | 0.0856021i | ||||
\(646\) | 5.63943 | + | 4.97394i | 0.221881 | + | 0.195697i | ||||
\(647\) | − | 34.2449i | − | 1.34631i | −0.739503 | − | 0.673154i | \(-0.764939\pi\) | ||
0.739503 | − | 0.673154i | \(-0.235061\pi\) | |||||||
\(648\) | 9.56568 | + | 14.5825i | 0.375775 | + | 0.572853i | ||||
\(649\) | −25.6245 | − | 25.6245i | −1.00585 | − | 1.00585i | ||||
\(650\) | −23.3117 | + | 5.65145i | −0.914362 | + | 0.221668i | ||||
\(651\) | 0.705640 | − | 1.70357i | 0.0276562 | − | 0.0667680i | ||||
\(652\) | −35.3535 | + | 20.1455i | −1.38455 | + | 0.788959i | ||||
\(653\) | 6.24144 | − | 15.0682i | 0.244246 | − | 0.589663i | −0.753450 | − | 0.657506i | \(-0.771612\pi\) |
0.997696 | + | 0.0678426i | \(0.0216116\pi\) | |||||||
\(654\) | 5.87851 | + | 2.01405i | 0.229868 | + | 0.0787555i | ||||
\(655\) | −3.33008 | + | 3.97141i | −0.130117 | + | 0.155176i | ||||
\(656\) | 36.3162 | + | 21.5187i | 1.41791 | + | 0.840166i | ||||
\(657\) | −12.5921 | − | 12.5921i | −0.491266 | − | 0.491266i | ||||
\(658\) | −8.09756 | + | 3.96484i | −0.315676 | + | 0.154565i | ||||
\(659\) | 2.76171 | + | 6.66735i | 0.107581 | + | 0.259723i | 0.968498 | − | 0.249023i | \(-0.0801093\pi\) |
−0.860917 | + | 0.508746i | \(0.830109\pi\) | |||||||
\(660\) | 12.0187 | − | 8.32072i | 0.467826 | − | 0.323884i | ||||
\(661\) | −8.77278 | − | 3.63380i | −0.341222 | − | 0.141339i | 0.205491 | − | 0.978659i | \(-0.434121\pi\) |
−0.546712 | + | 0.837320i | \(0.684121\pi\) | |||||||
\(662\) | 18.7267 | + | 16.5169i | 0.727836 | + | 0.641946i | ||||
\(663\) | − | 2.91074i | − | 0.113044i | ||||||
\(664\) | −10.8472 | + | 2.06210i | −0.420954 | + | 0.0800251i | ||||
\(665\) | 4.94097 | + | 4.14307i | 0.191603 | + | 0.160661i | ||||
\(666\) | 12.4749 | + | 11.0028i | 0.483394 | + | 0.426351i | ||||
\(667\) | 21.9184 | − | 9.07890i | 0.848684 | − | 0.351536i | ||||
\(668\) | 11.6115 | − | 14.9564i | 0.449263 | − | 0.578682i | ||||
\(669\) | 0.683844 | + | 1.65095i | 0.0264390 | + | 0.0638293i | ||||
\(670\) | 0.0996250 | + | 0.0246407i | 0.00384885 | + | 0.000951952i | ||||
\(671\) | − | 88.9853i | − | 3.43524i | ||||||
\(672\) | −2.34427 | − | 1.19758i | −0.0904321 | − | 0.0461977i | ||||
\(673\) | 5.53925 | + | 5.53925i | 0.213522 | + | 0.213522i | 0.805762 | − | 0.592240i | \(-0.201756\pi\) |
−0.592240 | + | 0.805762i | \(0.701756\pi\) | |||||||
\(674\) | 20.1144 | − | 9.84867i | 0.774777 | − | 0.379357i | ||||
\(675\) | −3.49868 | + | 15.8330i | −0.134664 | + | 0.609412i | ||||
\(676\) | −0.372864 | − | 2.96157i | −0.0143409 | − | 0.113907i | ||||
\(677\) | 10.8146 | + | 26.1088i | 0.415639 | + | 1.00344i | 0.983596 | + | 0.180383i | \(0.0577338\pi\) |
−0.567957 | + | 0.823058i | \(0.692266\pi\) | |||||||
\(678\) | −7.36618 | + | 0.461880i | −0.282896 | + | 0.0177384i | ||||
\(679\) | 5.14041 | + | 5.14041i | 0.197271 | + | 0.197271i | ||||
\(680\) | 2.58226 | + | 9.13562i | 0.0990253 | + | 0.350335i | ||||
\(681\) | −4.07167 | + | 4.07167i | −0.156027 | + | 0.156027i | ||||
\(682\) | −21.1953 | + | 24.0312i | −0.811611 | + | 0.920200i | ||||
\(683\) | −36.7383 | + | 15.2175i | −1.40575 | + | 0.582281i | −0.951238 | − | 0.308459i | \(-0.900187\pi\) |
−0.454513 | + | 0.890740i | \(0.650187\pi\) | |||||||
\(684\) | −16.4545 | + | 9.37629i | −0.629154 | + | 0.358511i | ||||
\(685\) | 5.01683 | − | 2.61379i | 0.191683 | − | 0.0998677i | ||||
\(686\) | −14.5262 | − | 4.97685i | −0.554613 | − | 0.190017i | ||||
\(687\) | −1.24957 | + | 1.24957i | −0.0476741 | + | 0.0476741i | ||||
\(688\) | −8.83080 | − | 11.7822i | −0.336671 | − | 0.449193i | ||||
\(689\) | −15.5034 | −0.590633 | ||||||||
\(690\) | 12.3996 | + | 3.06686i | 0.472046 | + | 0.116753i | ||||
\(691\) | −5.74794 | + | 2.38088i | −0.218662 | + | 0.0905728i | −0.489325 | − | 0.872101i | \(-0.662757\pi\) |
0.270663 | + | 0.962674i | \(0.412757\pi\) | |||||||
\(692\) | 10.6097 | − | 6.04573i | 0.403320 | − | 0.229824i | ||||
\(693\) | −4.76217 | − | 11.4969i | −0.180900 | − | 0.436731i | ||||
\(694\) | −2.80772 | − | 44.7783i | −0.106580 | − | 1.69976i | ||||
\(695\) | −0.703785 | − | 8.01259i | −0.0266961 | − | 0.303935i | ||||
\(696\) | 4.53890 | − | 2.97739i | 0.172047 | − | 0.112858i | ||||
\(697\) | 15.8410 | 0.600022 | ||||||||
\(698\) | −7.67265 | + | 0.481097i | −0.290414 | + | 0.0182098i | ||||
\(699\) | −4.23594 | + | 10.2265i | −0.160218 | + | 0.386800i | ||||
\(700\) | 2.40938 | + | 7.77616i | 0.0910661 | + | 0.293911i | ||||
\(701\) | −23.9645 | + | 9.92644i | −0.905129 | + | 0.374917i | −0.786190 | − | 0.617985i | \(-0.787949\pi\) |
−0.118939 | + | 0.992902i | \(0.537949\pi\) | |||||||
\(702\) | 14.7180 | + | 5.04258i | 0.555497 | + | 0.190320i | ||||
\(703\) | −11.0205 | + | 11.0205i | −0.415647 | + | 0.415647i | ||||
\(704\) | 31.7931 | + | 32.8911i | 1.19825 | + | 1.23963i | ||||
\(705\) | 6.43165 | − | 7.67029i | 0.242230 | − | 0.288880i | ||||
\(706\) | −14.2411 | + | 6.97292i | −0.535971 | + | 0.262429i | ||||
\(707\) | 7.29502 | + | 3.02170i | 0.274357 | + | 0.113643i | ||||
\(708\) | −0.905047 | − | 7.18858i | −0.0340137 | − | 0.270163i | ||||
\(709\) | −17.4586 | − | 7.23159i | −0.655671 | − | 0.271588i | 0.0299445 | − | 0.999552i | \(-0.490467\pi\) |
−0.685616 | + | 0.727964i | \(0.740467\pi\) | |||||||
\(710\) | 8.95459 | − | 12.1491i | 0.336060 | − | 0.455947i | ||||
\(711\) | 6.53697 | − | 6.53697i | 0.245155 | − | 0.245155i | ||||
\(712\) | −0.545223 | + | 2.62442i | −0.0204331 | + | 0.0983541i | ||||
\(713\) | −27.9993 | −1.04858 | ||||||||
\(714\) | −0.985932 | + | 0.0618207i | −0.0368976 | + | 0.00231358i | ||||
\(715\) | −13.0287 | + | 41.3712i | −0.487245 | + | 1.54720i | ||||
\(716\) | 10.9201 | − | 39.8512i | 0.408105 | − | 1.48931i | ||||
\(717\) | −0.576400 | − | 0.238752i | −0.0215260 | − | 0.00891638i | ||||
\(718\) | −2.69088 | + | 1.31754i | −0.100423 | + | 0.0491703i | ||||
\(719\) | 42.0594i | 1.56855i | 0.620413 | + | 0.784276i | \(0.286965\pi\) | ||||
−0.620413 | + | 0.784276i | \(0.713035\pi\) | |||||||
\(720\) | −23.8746 | − | 1.30499i | −0.889752 | − | 0.0486339i | ||||
\(721\) | 9.65850i | 0.359701i | ||||||||
\(722\) | 4.01288 | + | 8.19567i | 0.149344 | + | 0.305011i | ||||
\(723\) | 0.175030 | + | 0.0724997i | 0.00650942 | + | 0.00269629i | ||||
\(724\) | −7.07190 | − | 12.4105i | −0.262825 | − | 0.461233i | ||||
\(725\) | −16.3916 | − | 3.62213i | −0.608770 | − | 0.134522i | ||||
\(726\) | −1.09766 | − | 17.5058i | −0.0407382 | − | 0.649702i | ||||
\(727\) | −22.6419 | −0.839742 | −0.419871 | − | 0.907584i | \(-0.637925\pi\) | ||||
−0.419871 | + | 0.907584i | \(0.637925\pi\) | |||||||
\(728\) | 7.67358 | − | 1.45878i | 0.284402 | − | 0.0540660i | ||||
\(729\) | −7.72280 | + | 7.72280i | −0.286030 | + | 0.286030i | ||||
\(730\) | 20.8284 | − | 3.15283i | 0.770895 | − | 0.116691i | ||||
\(731\) | −5.10490 | − | 2.11452i | −0.188812 | − | 0.0782083i | ||||
\(732\) | 10.9103 | − | 14.0532i | 0.403256 | − | 0.519422i | ||||
\(733\) | 19.7248 | + | 8.17030i | 0.728554 | + | 0.301777i | 0.715958 | − | 0.698144i | \(-0.245990\pi\) |
0.0125963 | + | 0.999921i | \(0.495990\pi\) | |||||||
\(734\) | −12.4401 | − | 25.4071i | −0.459174 | − | 0.937791i | ||||
\(735\) | 8.06922 | − | 0.708759i | 0.297638 | − | 0.0261430i | ||||
\(736\) | −3.17826 | + | 39.8461i | −0.117152 | + | 1.46875i | ||||
\(737\) | 0.131221 | − | 0.131221i | 0.00483358 | − | 0.00483358i | ||||
\(738\) | −12.9312 | + | 37.7430i | −0.476005 | + | 1.38934i | ||||
\(739\) | 18.1749 | − | 7.52830i | 0.668575 | − | 0.276933i | −0.0224667 | − | 0.999748i | \(-0.507152\pi\) |
0.691042 | + | 0.722815i | \(0.257152\pi\) | |||||||
\(740\) | −19.2328 | + | 4.15670i | −0.707012 | + | 0.152803i | ||||
\(741\) | −2.62858 | + | 6.34595i | −0.0965633 | + | 0.233124i | ||||
\(742\) | 0.329274 | + | 5.25134i | 0.0120880 | + | 0.192783i | ||||
\(743\) | −46.0431 | −1.68916 | −0.844578 | − | 0.535432i | \(-0.820149\pi\) | ||||
−0.844578 | + | 0.535432i | \(0.820149\pi\) | |||||||
\(744\) | −6.29374 | + | 1.19647i | −0.230740 | + | 0.0438646i | ||||
\(745\) | 19.5067 | − | 1.71337i | 0.714670 | − | 0.0627729i | ||||
\(746\) | 3.30641 | − | 0.207321i | 0.121056 | − | 0.00759056i | ||||
\(747\) | −3.99356 | − | 9.64132i | −0.146117 | − | 0.352757i | ||||
\(748\) | 16.5563 | + | 4.53680i | 0.605358 | + | 0.165882i | ||||
\(749\) | −13.6891 | + | 5.67021i | −0.500188 | + | 0.207185i | ||||
\(750\) | −5.94709 | − | 6.80601i | −0.217157 | − | 0.248521i | ||||
\(751\) | −30.7636 | −1.12258 | −0.561290 | − | 0.827619i | \(-0.689695\pi\) | ||||
−0.561290 | + | 0.827619i | \(0.689695\pi\) | |||||||
\(752\) | 26.9494 | + | 15.9686i | 0.982745 | + | 0.582314i | ||||
\(753\) | 7.77591 | − | 7.77591i | 0.283370 | − | 0.283370i | ||||
\(754\) | −5.22051 | + | 15.2374i | −0.190120 | + | 0.554912i | ||||
\(755\) | 3.31910 | − | 10.5395i | 0.120794 | − | 0.383570i | ||||
\(756\) | 1.39544 | − | 5.09242i | 0.0507516 | − | 0.185209i | ||||
\(757\) | 21.2098 | − | 8.78539i | 0.770884 | − | 0.319311i | 0.0376534 | − | 0.999291i | \(-0.488012\pi\) |
0.733230 | + | 0.679980i | \(0.238012\pi\) | |||||||
\(758\) | 28.1534 | + | 24.8311i | 1.02258 | + | 0.901907i | ||||
\(759\) | 16.3321 | − | 16.3321i | 0.592819 | − | 0.592819i | ||||
\(760\) | 2.62022 | − | 22.2493i | 0.0950454 | − | 0.807066i | ||||
\(761\) | −5.27029 | − | 5.27029i | −0.191048 | − | 0.191048i | 0.605101 | − | 0.796149i | \(-0.293133\pi\) |
−0.796149 | + | 0.605101i | \(0.793133\pi\) | |||||||
\(762\) | 0.402886 | + | 6.42532i | 0.0145950 | + | 0.232765i | ||||
\(763\) | 2.39469 | + | 5.78130i | 0.0866937 | + | 0.209297i | ||||
\(764\) | 16.1026 | − | 20.7412i | 0.582571 | − | 0.750392i | ||||
\(765\) | −7.95744 | + | 4.14585i | −0.287702 | + | 0.149894i | ||||
\(766\) | −13.4537 | − | 27.4772i | −0.486104 | − | 0.992791i | ||||
\(767\) | 15.2016 | + | 15.2016i | 0.548899 | + | 0.548899i | ||||
\(768\) | 0.988288 | + | 9.09250i | 0.0356618 | + | 0.328097i | ||||
\(769\) | 17.7291i | 0.639328i | 0.947531 | + | 0.319664i | \(0.103570\pi\) | ||||
−0.947531 | + | 0.319664i | \(0.896430\pi\) | |||||||
\(770\) | 14.2901 | + | 3.53442i | 0.514978 | + | 0.127372i | ||||
\(771\) | 5.77419 | + | 13.9401i | 0.207952 | + | 0.502041i | ||||
\(772\) | 4.13714 | + | 32.8603i | 0.148899 | + | 1.18267i | ||||
\(773\) | −9.20330 | + | 3.81213i | −0.331020 | + | 0.137113i | −0.542002 | − | 0.840377i | \(-0.682334\pi\) |
0.210983 | + | 0.977490i | \(0.432334\pi\) | |||||||
\(774\) | 9.20527 | − | 10.4369i | 0.330877 | − | 0.375146i | ||||
\(775\) | 16.2369 | + | 11.3526i | 0.583245 | + | 0.407796i | ||||
\(776\) | 5.13751 | − | 24.7293i | 0.184426 | − | 0.887728i | ||||
\(777\) | − | 2.04751i | − | 0.0734540i | ||||||
\(778\) | −7.50903 | + | 8.51370i | −0.269212 | + | 0.305231i | ||||
\(779\) | −34.5364 | − | 14.3054i | −1.23739 | − | 0.512545i | ||||
\(780\) | −7.13003 | + | 4.93624i | −0.255296 | + | 0.176746i | ||||
\(781\) | −10.4438 | − | 25.2135i | −0.373708 | − | 0.902211i | ||||
\(782\) | 6.59641 | + | 13.4722i | 0.235887 | + | 0.481763i | ||||
\(783\) | 7.69901 | + | 7.69901i | 0.275140 | + | 0.275140i | ||||
\(784\) | 6.28333 | + | 24.5580i | 0.224404 | + | 0.877070i | ||||
\(785\) | −16.7330 | + | 1.46974i | −0.597227 | + | 0.0524573i | ||||
\(786\) | −0.607311 | + | 1.77259i | −0.0216621 | + | 0.0632262i | ||||
\(787\) | −4.91656 | + | 11.8696i | −0.175256 | + | 0.423106i | −0.986961 | − | 0.160963i | \(-0.948540\pi\) |
0.811704 | + | 0.584069i | \(0.198540\pi\) | |||||||
\(788\) | −11.2339 | + | 40.9963i | −0.400192 | + | 1.46043i | ||||
\(789\) | −4.99077 | + | 12.0488i | −0.177676 | + | 0.428948i | ||||
\(790\) | 1.63673 | + | 10.8127i | 0.0582323 | + | 0.384698i | ||||
\(791\) | −5.25559 | − | 5.25559i | −0.186867 | − | 0.186867i | ||||
\(792\) | −24.3245 | + | 35.7437i | −0.864334 | + | 1.27010i | ||||
\(793\) | 52.7902i | 1.87463i | ||||||||
\(794\) | −0.414970 | + | 0.470491i | −0.0147267 | + | 0.0166971i | ||||
\(795\) | −2.69915 | − | 5.18067i | −0.0957290 | − | 0.183740i | ||||
\(796\) | 2.85074 | + | 22.6428i | 0.101042 | + | 0.802553i | ||||
\(797\) | −3.32856 | + | 8.03586i | −0.117904 | + | 0.284645i | −0.971803 | − | 0.235793i | \(-0.924231\pi\) |
0.853900 | + | 0.520438i | \(0.174231\pi\) | |||||||
\(798\) | 2.20534 | + | 0.755577i | 0.0780682 | + | 0.0267471i | ||||
\(799\) | 11.7553 | 0.415872 | ||||||||
\(800\) | 17.9990 | − | 21.8182i | 0.636362 | − | 0.771390i | ||||
\(801\) | −2.53339 | −0.0895128 | ||||||||
\(802\) | −22.1246 | − | 7.58016i | −0.781247 | − | 0.267665i | ||||
\(803\) | 14.5771 | − | 35.1923i | 0.514416 | − | 1.24191i | ||||
\(804\) | 0.0368121 | − | 0.00463466i | 0.00129826 | − | 0.000163452i | ||||
\(805\) | 5.94342 | + | 11.4076i | 0.209478 | + | 0.402067i | ||||
\(806\) | 12.5740 | − | 14.2564i | 0.442902 | − | 0.502160i | ||||
\(807\) | 15.6275i | 0.550116i | ||||||||
\(808\) | −5.12351 | − | 26.9511i | −0.180244 | − | 0.948135i | ||||
\(809\) | 30.6872 | + | 30.6872i | 1.07890 | + | 1.07890i | 0.996608 | + | 0.0822955i | \(0.0262251\pi\) |
0.0822955 | + | 0.996608i | \(0.473775\pi\) | |||||||
\(810\) | −2.91826 | − | 19.2788i | −0.102537 | − | 0.677388i | ||||
\(811\) | 7.16488 | − | 17.2976i | 0.251593 | − | 0.607399i | −0.746740 | − | 0.665116i | \(-0.768382\pi\) |
0.998333 | + | 0.0577168i | \(0.0183820\pi\) | |||||||
\(812\) | 5.27211 | + | 1.44468i | 0.185015 | + | 0.0506982i | ||||
\(813\) | −0.567512 | + | 1.37010i | −0.0199035 | + | 0.0480513i | ||||
\(814\) | −11.5322 | + | 33.6597i | −0.404205 | + | 1.17977i | ||||
\(815\) | 45.3188 | − | 3.98057i | 1.58745 | − | 0.139433i | ||||
\(816\) | 2.05845 | + | 2.74642i | 0.0720600 | + | 0.0961438i | ||||
\(817\) | 9.22009 | + | 9.22009i | 0.322570 | + | 0.322570i | ||||
\(818\) | −0.345072 | − | 0.704755i | −0.0120652 | − | 0.0246412i | ||||
\(819\) | 2.82514 | + | 6.82049i | 0.0987183 | + | 0.238327i | ||||
\(820\) | −26.8643 | − | 38.8035i | −0.938143 | − | 1.35508i | ||||
\(821\) | −3.39391 | − | 1.40580i | −0.118448 | − | 0.0490628i | 0.322672 | − | 0.946511i | \(-0.395419\pi\) |
−0.441120 | + | 0.897448i | \(0.645419\pi\) | |||||||
\(822\) | 1.35280 | − | 1.53379i | 0.0471842 | − | 0.0534972i | ||||
\(823\) | − | 20.6060i | − | 0.718280i | −0.933284 | − | 0.359140i | \(-0.883070\pi\) | ||
0.933284 | − | 0.359140i | \(-0.116930\pi\) | |||||||
\(824\) | 28.0589 | − | 18.4058i | 0.977477 | − | 0.641197i | ||||
\(825\) | −16.0931 | + | 2.84904i | −0.560288 | + | 0.0991909i | ||||
\(826\) | 4.82626 | − | 5.47199i | 0.167927 | − | 0.190395i | ||||
\(827\) | 27.0603 | − | 11.2088i | 0.940980 | − | 0.389767i | 0.141147 | − | 0.989989i | \(-0.454921\pi\) |
0.799833 | + | 0.600222i | \(0.204921\pi\) | |||||||
\(828\) | −37.4836 | + | 4.71921i | −1.30265 | + | 0.164004i | ||||
\(829\) | 7.90537 | + | 19.0853i | 0.274565 | + | 0.662858i | 0.999668 | − | 0.0257824i | \(-0.00820769\pi\) |
−0.725103 | + | 0.688641i | \(0.758208\pi\) | |||||||
\(830\) | 11.9837 | + | 2.96397i | 0.415959 | + | 0.102881i | ||||
\(831\) | 8.85478i | 0.307169i | ||||||||
\(832\) | −18.8611 | − | 19.5125i | −0.653892 | − | 0.676476i | ||||
\(833\) | 6.72644 | + | 6.72644i | 0.233057 | + | 0.233057i | ||||
\(834\) | −1.27877 | − | 2.61168i | −0.0442801 | − | 0.0904351i | ||||
\(835\) | −18.7743 | + | 9.78150i | −0.649713 | + | 0.338503i | ||||
\(836\) | −31.9987 | − | 24.8424i | −1.10670 | − | 0.859192i | ||||
\(837\) | −4.91749 | − | 11.8719i | −0.169973 | − | 0.410352i | ||||
\(838\) | 2.47390 | + | 39.4544i | 0.0854595 | + | 1.36293i | ||||
\(839\) | −0.0728146 | − | 0.0728146i | −0.00251384 | − | 0.00251384i | 0.705849 | − | 0.708363i | \(-0.250566\pi\) |
−0.708363 | + | 0.705849i | \(0.750566\pi\) | |||||||
\(840\) | 1.82344 | + | 2.31026i | 0.0629148 | + | 0.0797114i | ||||
\(841\) | 12.5354 | − | 12.5354i | 0.432256 | − | 0.432256i | ||||
\(842\) | 2.88652 | + | 2.54589i | 0.0994760 | + | 0.0877372i | ||||
\(843\) | −7.99526 | + | 3.31174i | −0.275371 | + | 0.114062i | ||||
\(844\) | 28.6757 | + | 7.85781i | 0.987060 | + | 0.270477i | ||||
\(845\) | −1.00245 | + | 3.18316i | −0.0344852 | + | 0.109504i | ||||
\(846\) | −9.59597 | + | 28.0082i | −0.329916 | + | 0.962943i | ||||
\(847\) | 12.4900 | − | 12.4900i | 0.429161 | − | 0.429161i | ||||
\(848\) | 14.6282 | − | 10.9638i | 0.502333 | − | 0.376500i | ||||
\(849\) | −9.89310 | −0.339530 | ||||||||
\(850\) | 1.63712 | − | 10.4871i | 0.0561528 | − | 0.359705i | ||||
\(851\) | −28.7240 | + | 11.8979i | −0.984645 | + | 0.407853i | ||||
\(852\) | 1.44202 | − | 5.26240i | 0.0494027 | − | 0.180287i | ||||
\(853\) | −1.52090 | − | 3.67178i | −0.0520747 | − | 0.125719i | 0.895701 | − | 0.444656i | \(-0.146674\pi\) |
−0.947776 | + | 0.318937i | \(0.896674\pi\) | |||||||
\(854\) | 17.8812 | − | 1.12120i | 0.611881 | − | 0.0383667i | ||||
\(855\) | 21.0926 | − | 1.85267i | 0.721353 | − | 0.0633599i | ||||
\(856\) | 42.5592 | + | 28.9626i | 1.45464 | + | 0.989922i | ||||
\(857\) | 51.2513 | 1.75071 | 0.875355 | − | 0.483481i | \(-0.160628\pi\) | ||||
0.875355 | + | 0.483481i | \(0.160628\pi\) | |||||||
\(858\) | 0.981320 | + | 15.6503i | 0.0335017 | + | 0.534294i | ||||
\(859\) | 16.9377 | − | 40.8912i | 0.577907 | − | 1.39519i | −0.316781 | − | 0.948499i | \(-0.602602\pi\) |
0.894688 | − | 0.446692i | \(-0.147398\pi\) | |||||||
\(860\) | 3.47761 | + | 16.0907i | 0.118586 | + | 0.548688i | ||||
\(861\) | 4.53717 | − | 1.87936i | 0.154626 | − | 0.0640483i | ||||
\(862\) | 18.5866 | − | 54.2495i | 0.633061 | − | 1.84775i | ||||
\(863\) | 7.14958 | − | 7.14958i | 0.243374 | − | 0.243374i | −0.574870 | − | 0.818245i | \(-0.694947\pi\) |
0.818245 | + | 0.574870i | \(0.194947\pi\) | |||||||
\(864\) | −17.4532 | + | 5.65054i | −0.593770 | + | 0.192235i | ||||
\(865\) | −13.6003 | + | 1.19458i | −0.462425 | + | 0.0406170i | ||||
\(866\) | −3.14677 | − | 6.42679i | −0.106932 | − | 0.218391i | ||||
\(867\) | −7.78802 | − | 3.22590i | −0.264495 | − | 0.109557i | ||||
\(868\) | −5.09601 | − | 3.95631i | −0.172970 | − | 0.134286i | ||||
\(869\) | 18.2694 | + | 7.56744i | 0.619748 | + | 0.256708i | ||||
\(870\) | −6.00067 | + | 0.908329i | −0.203442 | + | 0.0307952i | ||||
\(871\) | −0.0778462 | + | 0.0778462i | −0.00263772 | + | 0.00263772i | ||||
\(872\) | 12.2318 | − | 17.9740i | 0.414220 | − | 0.608677i | ||||
\(873\) | 23.8715 | 0.807928 | ||||||||
\(874\) | −2.21521 | − | 35.3287i | −0.0749307 | − | 1.19501i | ||||
\(875\) | 1.17872 | − | 9.02513i | 0.0398480 | − | 0.305105i | ||||
\(876\) | 6.61699 | − | 3.77056i | 0.223567 | − | 0.127395i | ||||
\(877\) | 40.6235 | + | 16.8268i | 1.37176 | + | 0.568201i | 0.942265 | − | 0.334868i | \(-0.108692\pi\) |
0.429495 | + | 0.903069i | \(0.358692\pi\) | |||||||
\(878\) | 21.2877 | + | 43.4769i | 0.718427 | + | 1.46727i | ||||
\(879\) | − | 6.98375i | − | 0.235556i | ||||||
\(880\) | −16.9641 | − | 48.2494i | −0.571861 | − | 1.62649i | ||||
\(881\) | − | 1.07314i | − | 0.0361548i | −0.999837 | − | 0.0180774i | \(-0.994245\pi\) | ||
0.999837 | − | 0.0180774i | \(-0.00575454\pi\) | |||||||
\(882\) | −21.5174 | + | 10.5356i | −0.724528 | + | 0.354753i | ||||
\(883\) | 24.6570 | + | 10.2132i | 0.829773 | + | 0.343703i | 0.756813 | − | 0.653632i | \(-0.226755\pi\) |
0.0729599 | + | 0.997335i | \(0.476755\pi\) | |||||||
\(884\) | −9.82195 | − | 2.69144i | −0.330348 | − | 0.0905228i | ||||
\(885\) | −2.43322 | + | 7.72644i | −0.0817918 | + | 0.259722i | ||||
\(886\) | 5.83064 | − | 0.365598i | 0.195884 | − | 0.0122825i | ||||
\(887\) | −13.6649 | −0.458823 | −0.229411 | − | 0.973330i | \(-0.573680\pi\) | ||||
−0.229411 | + | 0.973330i | \(0.573680\pi\) | |||||||
\(888\) | −5.94821 | + | 3.90186i | −0.199609 | + | 0.130938i | ||||
\(889\) | −4.58431 | + | 4.58431i | −0.153753 | + | 0.153753i | ||||
\(890\) | 1.77806 | − | 2.41237i | 0.0596007 | − | 0.0808629i | ||||
\(891\) | −32.5740 | − | 13.4926i | −1.09127 | − | 0.452018i | ||||
\(892\) | 6.20324 | − | 0.780992i | 0.207700 | − | 0.0261496i | ||||
\(893\) | −25.6287 | − | 10.6157i | −0.857630 | − | 0.355242i | ||||
\(894\) | 6.35815 | − | 3.11316i | 0.212648 | − | 0.104120i | ||||
\(895\) | −29.6831 | + | 35.3996i | −0.992195 | + | 1.18328i | ||||
\(896\) | −6.20874 | + | 6.80310i | −0.207419 | + | 0.227276i | ||||
\(897\) | −9.68898 | + | 9.68898i | −0.323506 | + | 0.323506i | ||||
\(898\) | −26.1678 | − | 8.96542i | −0.873232 | − | 0.299180i | ||||
\(899\) | 12.2908 | − | 5.09101i | 0.409920 | − | 0.169795i | ||||
\(900\) | 23.6503 | + | 12.4614i | 0.788343 | + | 0.415379i | ||||
\(901\) | 2.62527 | − | 6.33797i | 0.0874606 | − | 0.211148i | ||||
\(902\) | −85.1733 | + | 5.34061i | −2.83596 | + | 0.177823i | ||||
\(903\) | −1.71300 | −0.0570052 | ||||||||
\(904\) | −5.25263 | + | 25.2834i | −0.174700 | + | 0.840912i | ||||
\(905\) | 1.39734 | + | 15.9087i | 0.0464492 | + | 0.528825i | ||||
\(906\) | −0.249995 | − | 3.98697i | −0.00830551 | − | 0.132458i | ||||
\(907\) | −0.640513 | − | 1.54634i | −0.0212679 | − | 0.0513452i | 0.912889 | − | 0.408208i | \(-0.133846\pi\) |
−0.934157 | + | 0.356863i | \(0.883846\pi\) | |||||||
\(908\) | 9.97447 | + | 17.5043i | 0.331014 | + | 0.580900i | ||||
\(909\) | 23.9548 | − | 9.92242i | 0.794532 | − | 0.329106i | ||||
\(910\) | −8.47752 | − | 2.09678i | −0.281027 | − | 0.0695076i | ||||
\(911\) | 24.6293 | 0.816007 | 0.408003 | − | 0.912980i | \(-0.366225\pi\) | ||||
0.408003 | + | 0.912980i | \(0.366225\pi\) | |||||||
\(912\) | −2.00761 | − | 7.84660i | −0.0664785 | − | 0.259827i | ||||
\(913\) | 15.7842 | − | 15.7842i | 0.522382 | − | 0.522382i | ||||
\(914\) | −25.1866 | − | 8.62923i | −0.833098 | − | 0.285430i | ||||
\(915\) | −17.6406 | + | 9.19079i | −0.583179 | + | 0.303838i | ||||
\(916\) | 3.06111 | + | 5.37196i | 0.101142 | + | 0.177494i | ||||
\(917\) | −1.74328 | + | 0.722090i | −0.0575681 | + | 0.0238455i | ||||
\(918\) | −4.55375 | + | 5.16302i | −0.150296 | + | 0.170405i | ||||
\(919\) | −25.5224 | + | 25.5224i | −0.841905 | + | 0.841905i | −0.989106 | − | 0.147202i | \(-0.952973\pi\) |
0.147202 | + | 0.989106i | \(0.452973\pi\) | |||||||
\(920\) | 21.8142 | − | 39.0053i | 0.719191 | − | 1.28597i | ||||
\(921\) | −6.36858 | − | 6.36858i | −0.209852 | − | 0.209852i | ||||
\(922\) | −38.7583 | + | 2.43025i | −1.27644 | + | 0.0800361i | ||||
\(923\) | 6.19574 | + | 14.9578i | 0.203935 | + | 0.492343i | ||||
\(924\) | 5.28027 | − | 0.664789i | 0.173708 | − | 0.0218700i | ||||
\(925\) | 21.4812 | + | 4.74678i | 0.706297 | + | 0.156073i | ||||
\(926\) | −49.4367 | + | 24.2058i | −1.62459 | + | 0.795453i | ||||
\(927\) | 22.4265 | + | 22.4265i | 0.736583 | + | 0.736583i | ||||
\(928\) | −5.84992 | − | 18.0690i | −0.192033 | − | 0.593145i | ||||
\(929\) | − | 10.3638i | − | 0.340027i | −0.985442 | − | 0.170013i | \(-0.945619\pi\) | ||
0.985442 | − | 0.170013i | \(-0.0543811\pi\) | |||||||
\(930\) | 6.95311 | + | 1.71974i | 0.228002 | + | 0.0563926i | ||||
\(931\) | −8.59049 | − | 20.7393i | −0.281542 | − | 0.679703i | ||||
\(932\) | 30.5912 | + | 23.7496i | 1.00205 | + | 0.777945i | ||||
\(933\) | 13.7807 | − | 5.70816i | 0.451160 | − | 0.186877i | ||||
\(934\) | −39.7765 | − | 35.0826i | −1.30153 | − | 1.14794i | ||||
\(935\) | −14.7068 | − | 12.3319i | −0.480965 | − | 0.403296i | ||||
\(936\) | 14.4304 | − | 21.2048i | 0.471673 | − | 0.693102i | ||||
\(937\) | − | 38.9474i | − | 1.27235i | −0.771543 | − | 0.636177i | \(-0.780515\pi\) | ||
0.771543 | − | 0.636177i | \(-0.219485\pi\) | |||||||
\(938\) | 0.0280216 | + | 0.0247148i | 0.000914936 | + | 0.000806968i | ||||
\(939\) | 16.0989 | + | 6.66838i | 0.525367 | + | 0.217614i | ||||
\(940\) | −19.9354 | − | 28.7952i | −0.650221 | − | 0.939196i | ||||
\(941\) | 7.92882 | + | 19.1419i | 0.258472 | + | 0.624007i | 0.998838 | − | 0.0481976i | \(-0.0153477\pi\) |
−0.740366 | + | 0.672204i | \(0.765348\pi\) | |||||||
\(942\) | −5.45408 | + | 2.67050i | −0.177703 | + | 0.0870095i | ||||
\(943\) | −52.7300 | − | 52.7300i | −1.71713 | − | 1.71713i | ||||
\(944\) | −25.0939 | − | 3.59300i | −0.816736 | − | 0.116942i | ||||
\(945\) | −3.79307 | + | 4.52356i | −0.123389 | + | 0.147151i | ||||
\(946\) | 28.1607 | + | 9.64819i | 0.915583 | + | 0.313690i | ||||
\(947\) | 18.6394 | − | 44.9994i | 0.605698 | − | 1.46228i | −0.261938 | − | 0.965085i | \(-0.584362\pi\) |
0.867636 | − | 0.497200i | \(-0.165638\pi\) | |||||||
\(948\) | 1.95742 | + | 3.43508i | 0.0635739 | + | 0.111566i | ||||
\(949\) | −8.64783 | + | 20.8777i | −0.280720 | + | 0.677719i | ||||
\(950\) | −13.0397 | + | 21.3854i | −0.423065 | + | 0.693834i | ||||
\(951\) | −9.92097 | − | 9.92097i | −0.321709 | − | 0.321709i | ||||
\(952\) | −0.703042 | + | 3.38407i | −0.0227857 | + | 0.109678i | ||||
\(953\) | − | 43.1213i | − | 1.39684i | −0.715690 | − | 0.698418i | \(-0.753888\pi\) | ||
0.715690 | − | 0.698418i | \(-0.246112\pi\) | |||||||
\(954\) | 12.9579 | + | 11.4288i | 0.419527 | + | 0.370020i | ||||
\(955\) | −26.0358 | + | 13.5648i | −0.842499 | + | 0.438945i | ||||
\(956\) | −1.33861 | + | 1.72423i | −0.0432939 | + | 0.0557655i | ||||
\(957\) | −4.19966 | + | 10.1389i | −0.135756 | + | 0.327744i | ||||
\(958\) | −10.5679 | + | 30.8449i | −0.341432 | + | 0.996555i | ||||
\(959\) | 2.05951 | 0.0665051 | ||||||||
\(960\) | 3.23665 | − | 9.69984i | 0.104462 | − | 0.313061i | ||||
\(961\) | 15.2993 | 0.493527 | ||||||||
\(962\) | 6.84146 | − | 19.9685i | 0.220577 | − | 0.643811i | ||||
\(963\) | −18.6194 | + | 44.9512i | −0.600002 | + | 1.44853i | ||||
\(964\) | 0.406484 | − | 0.523579i | 0.0130920 | − | 0.0168634i | ||||
\(965\) | 11.1227 | − | 35.3190i | 0.358052 | − | 1.13696i | ||||
\(966\) | 3.48765 | + | 3.07609i | 0.112213 | + | 0.0989715i | ||||
\(967\) | 19.8075i | 0.636967i | 0.947928 | + | 0.318483i | \(0.103173\pi\) | ||||
−0.947928 | + | 0.318483i | \(0.896827\pi\) | |||||||
\(968\) | −60.0863 | − | 12.4829i | −1.93125 | − | 0.401217i | ||||
\(969\) | −2.14919 | − | 2.14919i | −0.0690419 | − | 0.0690419i | ||||
\(970\) | −16.7542 | + | 22.7312i | −0.537946 | + | 0.729855i | ||||
\(971\) | 6.68117 | − | 16.1298i | 0.214409 | − | 0.517629i | −0.779682 | − | 0.626175i | \(-0.784619\pi\) |
0.994091 | + | 0.108546i | \(0.0346195\pi\) | |||||||
\(972\) | −13.1235 | − | 23.0305i | −0.420936 | − | 0.738704i | ||||
\(973\) | 1.12064 | − | 2.70547i | 0.0359262 | − | 0.0867335i | ||||
\(974\) | 9.45969 | + | 3.24100i | 0.303108 | + | 0.103848i | ||||
\(975\) | 9.54714 | − | 1.69018i | 0.305753 | − | 0.0541292i | ||||
\(976\) | −37.3326 | − | 49.8099i | −1.19499 | − | 1.59438i | ||||
\(977\) | 34.4766 | + | 34.4766i | 1.10300 | + | 1.10300i | 0.994046 | + | 0.108958i | \(0.0347513\pi\) |
0.108958 | + | 0.994046i | \(0.465249\pi\) | |||||||
\(978\) | 14.7715 | − | 7.23264i | 0.472342 | − | 0.231274i | ||||
\(979\) | −2.07376 | − | 5.00650i | −0.0662777 | − | 0.160009i | ||||
\(980\) | 5.06964 | − | 27.8840i | 0.161944 | − | 0.890721i | ||||
\(981\) | 18.9842 | + | 7.86352i | 0.606119 | + | 0.251063i | ||||
\(982\) | 29.4347 | + | 25.9612i | 0.939298 | + | 0.828455i | ||||
\(983\) | − | 22.1834i | − | 0.707539i | −0.935333 | − | 0.353770i | \(-0.884900\pi\) | ||
0.935333 | − | 0.353770i | \(-0.115100\pi\) | |||||||
\(984\) | −14.1060 | − | 9.59950i | −0.449683 | − | 0.306021i | ||||
\(985\) | 30.5360 | − | 36.4168i | 0.972957 | − | 1.16033i | ||||
\(986\) | −5.34520 | − | 4.71443i | −0.170226 | − | 0.150138i | ||||
\(987\) | 3.36693 | − | 1.39463i | 0.107171 | − | 0.0443915i | ||||
\(988\) | 18.9831 | + | 14.7377i | 0.603934 | + | 0.468867i | ||||
\(989\) | 9.95409 | + | 24.0313i | 0.316521 | + | 0.764150i | ||||
\(990\) | 41.3874 | − | 24.9740i | 1.31538 | − | 0.793725i | ||||
\(991\) | 21.8010i | 0.692531i | 0.938136 | + | 0.346266i | \(0.112550\pi\) | ||||
−0.938136 | + | 0.346266i | \(0.887450\pi\) | |||||||
\(992\) | −1.78222 | + | 22.3438i | −0.0565854 | + | 0.709416i | ||||
\(993\) | −7.13677 | − | 7.13677i | −0.226478 | − | 0.226478i | ||||
\(994\) | 4.93495 | − | 2.41632i | 0.156527 | − | 0.0766409i | ||||
\(995\) | 7.66423 | − | 24.3370i | 0.242973 | − | 0.771535i | ||||
\(996\) | 4.42804 | − | 0.557493i | 0.140308 | − | 0.0176649i | ||||
\(997\) | −5.31872 | − | 12.8405i | −0.168446 | − | 0.406664i | 0.817004 | − | 0.576632i | \(-0.195633\pi\) |
−0.985450 | + | 0.169968i | \(0.945633\pi\) | |||||||
\(998\) | −10.5039 | + | 0.658621i | −0.332494 | + | 0.0208483i | ||||
\(999\) | −10.0895 | − | 10.0895i | −0.319219 | − | 0.319219i |
(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 | 160.2.u.a.43.10 | ✓ | 88 | |
4.3 | odd | 2 | 640.2.u.a.463.10 | 88 | |||
5.2 | odd | 4 | 160.2.ba.a.107.2 | yes | 88 | ||
5.3 | odd | 4 | 800.2.bb.b.107.21 | 88 | |||
5.4 | even | 2 | 800.2.v.b.43.13 | 88 | |||
20.7 | even | 4 | 640.2.ba.a.207.13 | 88 | |||
32.3 | odd | 8 | 160.2.ba.a.3.2 | yes | 88 | ||
32.29 | even | 8 | 640.2.ba.a.303.13 | 88 | |||
160.3 | even | 8 | 800.2.v.b.707.13 | 88 | |||
160.67 | even | 8 | inner | 160.2.u.a.67.10 | yes | 88 | |
160.99 | odd | 8 | 800.2.bb.b.643.21 | 88 | |||
160.157 | odd | 8 | 640.2.u.a.47.10 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
160.2.u.a.43.10 | ✓ | 88 | 1.1 | even | 1 | trivial | |
160.2.u.a.67.10 | yes | 88 | 160.67 | even | 8 | inner | |
160.2.ba.a.3.2 | yes | 88 | 32.3 | odd | 8 | ||
160.2.ba.a.107.2 | yes | 88 | 5.2 | odd | 4 | ||
640.2.u.a.47.10 | 88 | 160.157 | odd | 8 | |||
640.2.u.a.463.10 | 88 | 4.3 | odd | 2 | |||
640.2.ba.a.207.13 | 88 | 20.7 | even | 4 | |||
640.2.ba.a.303.13 | 88 | 32.29 | even | 8 | |||
800.2.v.b.43.13 | 88 | 5.4 | even | 2 | |||
800.2.v.b.707.13 | 88 | 160.3 | even | 8 | |||
800.2.bb.b.107.21 | 88 | 5.3 | odd | 4 | |||
800.2.bb.b.643.21 | 88 | 160.99 | odd | 8 |