Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [170,2,Mod(23,170)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(170, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([12, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("170.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 170 = 2 \cdot 5 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 170.r (of order \(16\), degree \(8\), 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: | \(1.35745683436\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 37.4 | ||
Character | \(\chi\) | \(=\) | 170.37 |
Dual form | 170.2.r.b.23.4 |
$q$-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 \(\left(\mathbb{Z}/170\mathbb{Z}\right)^\times\).
\(n\) | \(71\) | \(137\) |
\(\chi(n)\) | \(e\left(\frac{1}{16}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.923880 | + | 0.382683i | 0.653281 | + | 0.270598i | ||||
\(3\) | 1.41027 | − | 0.942312i | 0.814220 | − | 0.544044i | −0.0773095 | − | 0.997007i | \(-0.524633\pi\) |
0.891529 | + | 0.452963i | \(0.149633\pi\) | |||||||
\(4\) | 0.707107 | + | 0.707107i | 0.353553 | + | 0.353553i | ||||
\(5\) | 2.21673 | + | 0.293448i | 0.991351 | + | 0.131234i | ||||
\(6\) | 1.66353 | − | 0.330896i | 0.679132 | − | 0.135088i | ||||
\(7\) | −5.02568 | + | 0.999670i | −1.89953 | + | 0.377840i | −0.998442 | − | 0.0557977i | \(-0.982230\pi\) |
−0.901087 | + | 0.433638i | \(0.857230\pi\) | |||||||
\(8\) | 0.382683 | + | 0.923880i | 0.135299 | + | 0.326641i | ||||
\(9\) | −0.0471409 | + | 0.113808i | −0.0157136 | + | 0.0379360i | ||||
\(10\) | 1.93569 | + | 1.11942i | 0.612120 | + | 0.353991i | ||||
\(11\) | −0.999543 | − | 5.02504i | −0.301374 | − | 1.51511i | −0.773625 | − | 0.633643i | \(-0.781559\pi\) |
0.472252 | − | 0.881464i | \(-0.343441\pi\) | |||||||
\(12\) | 1.66353 | + | 0.330896i | 0.480219 | + | 0.0955215i | ||||
\(13\) | −3.13814 | −0.870363 | −0.435182 | − | 0.900343i | \(-0.643316\pi\) | ||||
−0.435182 | + | 0.900343i | \(0.643316\pi\) | |||||||
\(14\) | −5.02568 | − | 0.999670i | −1.34317 | − | 0.267173i | ||||
\(15\) | 3.40271 | − | 1.67501i | 0.878575 | − | 0.432486i | ||||
\(16\) | 1.00000i | 0.250000i | ||||||||
\(17\) | 3.59411 | + | 2.02049i | 0.871700 | + | 0.490040i | ||||
\(18\) | −0.0871050 | + | 0.0871050i | −0.0205308 | + | 0.0205308i | ||||
\(19\) | −0.297551 | − | 0.718351i | −0.0682628 | − | 0.164801i | 0.886066 | − | 0.463559i | \(-0.153428\pi\) |
−0.954329 | + | 0.298758i | \(0.903428\pi\) | |||||||
\(20\) | 1.35996 | + | 1.77496i | 0.304097 | + | 0.396894i | ||||
\(21\) | −6.14557 | + | 6.14557i | −1.34107 | + | 1.34107i | ||||
\(22\) | 0.999543 | − | 5.02504i | 0.213103 | − | 1.07134i | ||||
\(23\) | 0.327245 | − | 0.489757i | 0.0682354 | − | 0.102121i | −0.795783 | − | 0.605582i | \(-0.792940\pi\) |
0.864018 | + | 0.503461i | \(0.167940\pi\) | |||||||
\(24\) | 1.41027 | + | 0.942312i | 0.287870 | + | 0.192349i | ||||
\(25\) | 4.82778 | + | 1.30099i | 0.965555 | + | 0.260198i | ||||
\(26\) | −2.89926 | − | 1.20091i | −0.568592 | − | 0.235519i | ||||
\(27\) | 1.03345 | + | 5.19550i | 0.198888 | + | 0.999875i | ||||
\(28\) | −4.26057 | − | 2.84682i | −0.805172 | − | 0.537999i | ||||
\(29\) | −1.78058 | − | 2.66483i | −0.330646 | − | 0.494846i | 0.628480 | − | 0.777826i | \(-0.283677\pi\) |
−0.959126 | + | 0.282979i | \(0.908677\pi\) | |||||||
\(30\) | 3.78469 | − | 0.245348i | 0.690987 | − | 0.0447942i | ||||
\(31\) | −0.00940187 | + | 0.0472664i | −0.00168863 | + | 0.00848929i | −0.981620 | − | 0.190844i | \(-0.938878\pi\) |
0.979932 | + | 0.199333i | \(0.0638776\pi\) | |||||||
\(32\) | −0.382683 | + | 0.923880i | −0.0676495 | + | 0.163320i | ||||
\(33\) | −6.14479 | − | 6.14479i | −1.06967 | − | 1.06967i | ||||
\(34\) | 2.54732 | + | 3.24209i | 0.436861 | + | 0.556014i | ||||
\(35\) | −11.4339 | + | 0.741221i | −1.93269 | + | 0.125289i | ||||
\(36\) | −0.113808 | + | 0.0471409i | −0.0189680 | + | 0.00785681i | ||||
\(37\) | −1.22409 | − | 1.83197i | −0.201239 | − | 0.301175i | 0.717100 | − | 0.696970i | \(-0.245469\pi\) |
−0.918339 | + | 0.395795i | \(0.870469\pi\) | |||||||
\(38\) | − | 0.777538i | − | 0.126133i | ||||||
\(39\) | −4.42562 | + | 2.95711i | −0.708667 | + | 0.473516i | ||||
\(40\) | 0.577195 | + | 2.16029i | 0.0912625 | + | 0.341572i | ||||
\(41\) | 0.774342 | − | 1.15889i | 0.120932 | − | 0.180987i | −0.766064 | − | 0.642764i | \(-0.777788\pi\) |
0.886996 | + | 0.461776i | \(0.152788\pi\) | |||||||
\(42\) | −8.02957 | + | 3.32596i | −1.23899 | + | 0.513206i | ||||
\(43\) | 2.55893 | − | 1.05995i | 0.390234 | − | 0.161640i | −0.178935 | − | 0.983861i | \(-0.557265\pi\) |
0.569169 | + | 0.822221i | \(0.307265\pi\) | |||||||
\(44\) | 2.84646 | − | 4.26003i | 0.429120 | − | 0.642223i | ||||
\(45\) | −0.137895 | + | 0.238448i | −0.0205562 | + | 0.0355458i | ||||
\(46\) | 0.489757 | − | 0.327245i | 0.0722108 | − | 0.0482497i | ||||
\(47\) | 1.90169i | 0.277389i | 0.990335 | + | 0.138695i | \(0.0442907\pi\) | ||||
−0.990335 | + | 0.138695i | \(0.955709\pi\) | |||||||
\(48\) | 0.942312 | + | 1.41027i | 0.136011 | + | 0.203555i | ||||
\(49\) | 17.7910 | − | 7.36927i | 2.54157 | − | 1.05275i | ||||
\(50\) | 3.96242 | + | 3.04947i | 0.560370 | + | 0.431260i | ||||
\(51\) | 6.97260 | − | 0.537342i | 0.976359 | − | 0.0752429i | ||||
\(52\) | −2.21900 | − | 2.21900i | −0.307720 | − | 0.307720i | ||||
\(53\) | −4.43093 | + | 10.6972i | −0.608635 | + | 1.46937i | 0.255850 | + | 0.966716i | \(0.417645\pi\) |
−0.864485 | + | 0.502658i | \(0.832355\pi\) | |||||||
\(54\) | −1.03345 | + | 5.19550i | −0.140635 | + | 0.707018i | ||||
\(55\) | −0.741126 | − | 11.4325i | −0.0999334 | − | 1.54155i | ||||
\(56\) | −2.84682 | − | 4.26057i | −0.380422 | − | 0.569342i | ||||
\(57\) | −1.09654 | − | 0.732684i | −0.145240 | − | 0.0970463i | ||||
\(58\) | −0.625257 | − | 3.14338i | −0.0821003 | − | 0.412746i | ||||
\(59\) | 2.75861 | + | 1.14265i | 0.359140 | + | 0.148761i | 0.554955 | − | 0.831880i | \(-0.312735\pi\) |
−0.195815 | + | 0.980641i | \(0.562735\pi\) | |||||||
\(60\) | 3.59049 | + | 1.22167i | 0.463530 | + | 0.157716i | ||||
\(61\) | −8.20282 | − | 5.48095i | −1.05026 | − | 0.701764i | −0.0943882 | − | 0.995535i | \(-0.530089\pi\) |
−0.955876 | + | 0.293772i | \(0.905089\pi\) | |||||||
\(62\) | −0.0267743 | + | 0.0400705i | −0.00340033 | + | 0.00508896i | ||||
\(63\) | 0.123144 | − | 0.619089i | 0.0155147 | − | 0.0779979i | ||||
\(64\) | −0.707107 | + | 0.707107i | −0.0883883 | + | 0.0883883i | ||||
\(65\) | −6.95641 | − | 0.920882i | −0.862836 | − | 0.114221i | ||||
\(66\) | −3.32553 | − | 8.02855i | −0.409345 | − | 0.988246i | ||||
\(67\) | −7.07294 | + | 7.07294i | −0.864097 | + | 0.864097i | −0.991811 | − | 0.127714i | \(-0.959236\pi\) |
0.127714 | + | 0.991811i | \(0.459236\pi\) | |||||||
\(68\) | 1.11272 | + | 3.97012i | 0.134937 | + | 0.481448i | ||||
\(69\) | − | 0.999058i | − | 0.120272i | ||||||
\(70\) | −10.8472 | − | 3.69078i | −1.29649 | − | 0.441132i | ||||
\(71\) | 7.55981 | + | 1.50374i | 0.897184 | + | 0.178461i | 0.622080 | − | 0.782953i | \(-0.286288\pi\) |
0.275104 | + | 0.961414i | \(0.411288\pi\) | |||||||
\(72\) | −0.123185 | −0.0145175 | ||||||||
\(73\) | 7.03510 | + | 1.39937i | 0.823397 | + | 0.163784i | 0.588769 | − | 0.808302i | \(-0.299613\pi\) |
0.234628 | + | 0.972085i | \(0.424613\pi\) | |||||||
\(74\) | −0.429842 | − | 2.16096i | −0.0499681 | − | 0.251207i | ||||
\(75\) | 8.03441 | − | 2.71453i | 0.927734 | − | 0.313446i | ||||
\(76\) | 0.297551 | − | 0.718351i | 0.0341314 | − | 0.0824005i | ||||
\(77\) | 10.0468 | + | 24.2551i | 1.14494 | + | 2.76412i | ||||
\(78\) | −5.22038 | + | 1.03840i | −0.591092 | + | 0.117575i | ||||
\(79\) | 9.46534 | − | 1.88277i | 1.06493 | − | 0.211829i | 0.368630 | − | 0.929576i | \(-0.379827\pi\) |
0.696303 | + | 0.717747i | \(0.254827\pi\) | |||||||
\(80\) | −0.293448 | + | 2.21673i | −0.0328085 | + | 0.247838i | ||||
\(81\) | 6.09192 | + | 6.09192i | 0.676880 | + | 0.676880i | ||||
\(82\) | 1.15889 | − | 0.774342i | 0.127977 | − | 0.0855118i | ||||
\(83\) | −15.6672 | − | 6.48955i | −1.71969 | − | 0.712321i | −0.999834 | − | 0.0182010i | \(-0.994206\pi\) |
−0.719860 | − | 0.694120i | \(-0.755794\pi\) | |||||||
\(84\) | −8.69115 | −0.948282 | ||||||||
\(85\) | 7.37426 | + | 5.53356i | 0.799851 | + | 0.600199i | ||||
\(86\) | 2.76977 | 0.298672 | ||||||||
\(87\) | −5.02220 | − | 2.08026i | −0.538437 | − | 0.223028i | ||||
\(88\) | 4.26003 | − | 2.84646i | 0.454120 | − | 0.303433i | ||||
\(89\) | 5.07441 | + | 5.07441i | 0.537886 | + | 0.537886i | 0.922908 | − | 0.385022i | \(-0.125806\pi\) |
−0.385022 | + | 0.922908i | \(0.625806\pi\) | |||||||
\(90\) | −0.218649 | + | 0.167527i | −0.0230476 | + | 0.0176589i | ||||
\(91\) | 15.7713 | − | 3.13711i | 1.65328 | − | 0.328858i | ||||
\(92\) | 0.577708 | − | 0.114913i | 0.0602302 | − | 0.0119805i | ||||
\(93\) | 0.0312805 | + | 0.0755179i | 0.00324364 | + | 0.00783084i | ||||
\(94\) | −0.727743 | + | 1.75693i | −0.0750610 | + | 0.181213i | ||||
\(95\) | −0.448791 | − | 1.67971i | −0.0460450 | − | 0.172334i | ||||
\(96\) | 0.330896 | + | 1.66353i | 0.0337719 | + | 0.169783i | ||||
\(97\) | 1.77649 | + | 0.353366i | 0.180375 | + | 0.0358789i | 0.284451 | − | 0.958690i | \(-0.408189\pi\) |
−0.104076 | + | 0.994569i | \(0.533189\pi\) | |||||||
\(98\) | 19.2568 | 1.94523 | ||||||||
\(99\) | 0.619010 | + | 0.123129i | 0.0622128 | + | 0.0123749i | ||||
\(100\) | 2.49381 | + | 4.33369i | 0.249381 | + | 0.433369i | ||||
\(101\) | − | 3.59573i | − | 0.357789i | −0.983868 | − | 0.178894i | \(-0.942748\pi\) | ||
0.983868 | − | 0.178894i | \(-0.0572520\pi\) | |||||||
\(102\) | 6.64747 | + | 2.17186i | 0.658198 | + | 0.215046i | ||||
\(103\) | 7.28280 | − | 7.28280i | 0.717596 | − | 0.717596i | −0.250516 | − | 0.968112i | \(-0.580600\pi\) |
0.968112 | + | 0.250516i | \(0.0806004\pi\) | |||||||
\(104\) | −1.20091 | − | 2.89926i | −0.117759 | − | 0.284296i | ||||
\(105\) | −15.4265 | + | 11.8197i | −1.50547 | + | 1.15348i | ||||
\(106\) | −8.18729 | + | 8.18729i | −0.795220 | + | 0.795220i | ||||
\(107\) | 2.50491 | − | 12.5930i | 0.242159 | − | 1.21742i | −0.647956 | − | 0.761678i | \(-0.724376\pi\) |
0.890114 | − | 0.455737i | \(-0.150624\pi\) | |||||||
\(108\) | −2.94302 | + | 4.40453i | −0.283192 | + | 0.423827i | ||||
\(109\) | −1.52870 | − | 1.02144i | −0.146423 | − | 0.0978365i | 0.480201 | − | 0.877158i | \(-0.340564\pi\) |
−0.626624 | + | 0.779322i | \(0.715564\pi\) | |||||||
\(110\) | 3.69031 | − | 10.8458i | 0.351857 | − | 1.03411i | ||||
\(111\) | −3.45259 | − | 1.43011i | −0.327705 | − | 0.135740i | ||||
\(112\) | −0.999670 | − | 5.02568i | −0.0944600 | − | 0.474882i | ||||
\(113\) | 7.83031 | + | 5.23205i | 0.736614 | + | 0.492190i | 0.866399 | − | 0.499352i | \(-0.166429\pi\) |
−0.129785 | + | 0.991542i | \(0.541429\pi\) | |||||||
\(114\) | −0.732684 | − | 1.09654i | −0.0686221 | − | 0.102700i | ||||
\(115\) | 0.869133 | − | 0.989630i | 0.0810471 | − | 0.0922835i | ||||
\(116\) | 0.625257 | − | 3.14338i | 0.0580537 | − | 0.291856i | ||||
\(117\) | 0.147935 | − | 0.357146i | 0.0136766 | − | 0.0330181i | ||||
\(118\) | 2.11135 | + | 2.11135i | 0.194365 | + | 0.194365i | ||||
\(119\) | −20.0827 | − | 6.56140i | −1.84098 | − | 0.601483i | ||||
\(120\) | 2.84967 | + | 2.50269i | 0.260138 | + | 0.228464i | ||||
\(121\) | −14.0893 | + | 5.83597i | −1.28084 | + | 0.530543i | ||||
\(122\) | −5.48095 | − | 8.20282i | −0.496222 | − | 0.742649i | ||||
\(123\) | − | 2.36401i | − | 0.213156i | ||||||
\(124\) | −0.0400705 | + | 0.0267743i | −0.00359844 | + | 0.00240440i | ||||
\(125\) | 10.3201 | + | 4.30065i | 0.923058 | + | 0.384662i | ||||
\(126\) | 0.350686 | − | 0.524838i | 0.0312416 | − | 0.0467563i | ||||
\(127\) | −1.26783 | + | 0.525151i | −0.112501 | + | 0.0465996i | −0.438224 | − | 0.898866i | \(-0.644392\pi\) |
0.325723 | + | 0.945465i | \(0.394392\pi\) | |||||||
\(128\) | −0.923880 | + | 0.382683i | −0.0816602 | + | 0.0338248i | ||||
\(129\) | 2.60999 | − | 3.90612i | 0.229797 | − | 0.343915i | ||||
\(130\) | −6.07447 | − | 3.51288i | −0.532767 | − | 0.308100i | ||||
\(131\) | 0.556247 | − | 0.371672i | 0.0485995 | − | 0.0324731i | −0.531033 | − | 0.847351i | \(-0.678196\pi\) |
0.579633 | + | 0.814878i | \(0.303196\pi\) | |||||||
\(132\) | − | 8.69004i | − | 0.756371i | ||||||
\(133\) | 2.21351 | + | 3.31275i | 0.191936 | + | 0.287252i | ||||
\(134\) | −9.24124 | + | 3.82785i | −0.798322 | + | 0.330676i | ||||
\(135\) | 0.766267 | + | 11.8203i | 0.0659497 | + | 1.01733i | ||||
\(136\) | −0.491281 | + | 4.09373i | −0.0421270 | + | 0.351035i | ||||
\(137\) | −13.3596 | − | 13.3596i | −1.14139 | − | 1.14139i | −0.988196 | − | 0.153194i | \(-0.951044\pi\) |
−0.153194 | − | 0.988196i | \(-0.548956\pi\) | |||||||
\(138\) | 0.382323 | − | 0.923009i | 0.0325455 | − | 0.0785717i | ||||
\(139\) | 2.60733 | − | 13.1079i | 0.221151 | − | 1.11180i | −0.697456 | − | 0.716627i | \(-0.745685\pi\) |
0.918607 | − | 0.395172i | \(-0.129315\pi\) | |||||||
\(140\) | −8.60913 | − | 7.56089i | −0.727604 | − | 0.639012i | ||||
\(141\) | 1.79198 | + | 2.68189i | 0.150912 | + | 0.225856i | ||||
\(142\) | 6.40890 | + | 4.28229i | 0.537823 | + | 0.359362i | ||||
\(143\) | 3.13671 | + | 15.7693i | 0.262304 | + | 1.31869i | ||||
\(144\) | −0.113808 | − | 0.0471409i | −0.00948401 | − | 0.00392841i | ||||
\(145\) | −3.16508 | − | 6.42971i | −0.262845 | − | 0.533959i | ||||
\(146\) | 5.96407 | + | 3.98507i | 0.493590 | + | 0.329806i | ||||
\(147\) | 18.1459 | − | 27.1573i | 1.49665 | − | 2.23990i | ||||
\(148\) | 0.429842 | − | 2.16096i | 0.0353328 | − | 0.177630i | ||||
\(149\) | −5.33611 | + | 5.33611i | −0.437151 | + | 0.437151i | −0.891052 | − | 0.453901i | \(-0.850032\pi\) |
0.453901 | + | 0.891052i | \(0.350032\pi\) | |||||||
\(150\) | 8.46163 | + | 0.566741i | 0.690889 | + | 0.0462742i | ||||
\(151\) | 2.08948 | + | 5.04445i | 0.170039 | + | 0.410511i | 0.985810 | − | 0.167864i | \(-0.0536870\pi\) |
−0.815771 | + | 0.578375i | \(0.803687\pi\) | |||||||
\(152\) | 0.549802 | − | 0.549802i | 0.0445949 | − | 0.0445949i | ||||
\(153\) | −0.399377 | + | 0.313791i | −0.0322878 | + | 0.0253685i | ||||
\(154\) | 26.2535i | 2.11557i | ||||||||
\(155\) | −0.0347116 | + | 0.102018i | −0.00278811 | + | 0.00819427i | ||||
\(156\) | −5.22038 | − | 1.03840i | −0.417965 | − | 0.0831384i | ||||
\(157\) | 2.81882 | 0.224966 | 0.112483 | − | 0.993654i | \(-0.464120\pi\) | ||||
0.112483 | + | 0.993654i | \(0.464120\pi\) | |||||||
\(158\) | 9.46534 | + | 1.88277i | 0.753022 | + | 0.149785i | ||||
\(159\) | 3.83131 | + | 19.2613i | 0.303842 | + | 1.52752i | ||||
\(160\) | −1.11942 | + | 1.93569i | −0.0884976 | + | 0.153030i | ||||
\(161\) | −1.15504 | + | 2.78850i | −0.0910296 | + | 0.219765i | ||||
\(162\) | 3.29692 | + | 7.95947i | 0.259031 | + | 0.625355i | ||||
\(163\) | −14.7782 | + | 2.93957i | −1.15752 | + | 0.230245i | −0.736263 | − | 0.676696i | \(-0.763411\pi\) |
−0.421258 | + | 0.906941i | \(0.638411\pi\) | |||||||
\(164\) | 1.36700 | − | 0.271913i | 0.106745 | − | 0.0212328i | ||||
\(165\) | −11.8181 | − | 15.4245i | −0.920042 | − | 1.20080i | ||||
\(166\) | −11.9911 | − | 11.9911i | −0.930692 | − | 0.930692i | ||||
\(167\) | −17.4048 | + | 11.6295i | −1.34682 | + | 0.899918i | −0.999287 | − | 0.0377492i | \(-0.987981\pi\) |
−0.347535 | + | 0.937667i | \(0.612981\pi\) | |||||||
\(168\) | −8.02957 | − | 3.32596i | −0.619495 | − | 0.256603i | ||||
\(169\) | −3.15208 | −0.242468 | ||||||||
\(170\) | 4.69533 | + | 7.93435i | 0.360115 | + | 0.608537i | ||||
\(171\) | 0.0957810 | 0.00732456 | ||||||||
\(172\) | 2.55893 | + | 1.05995i | 0.195117 | + | 0.0808201i | ||||
\(173\) | 3.21875 | − | 2.15070i | 0.244717 | − | 0.163515i | −0.427163 | − | 0.904175i | \(-0.640487\pi\) |
0.671880 | + | 0.740660i | \(0.265487\pi\) | |||||||
\(174\) | −3.84383 | − | 3.84383i | −0.291400 | − | 0.291400i | ||||
\(175\) | −25.5634 | − | 1.71218i | −1.93241 | − | 0.129429i | ||||
\(176\) | 5.02504 | − | 0.999543i | 0.378777 | − | 0.0753434i | ||||
\(177\) | 4.96712 | − | 0.988021i | 0.373351 | − | 0.0742642i | ||||
\(178\) | 2.74625 | + | 6.63003i | 0.205840 | + | 0.496942i | ||||
\(179\) | −4.32045 | + | 10.4305i | −0.322925 | + | 0.779611i | 0.676156 | + | 0.736759i | \(0.263645\pi\) |
−0.999081 | + | 0.0428525i | \(0.986355\pi\) | |||||||
\(180\) | −0.266115 | + | 0.0711017i | −0.0198351 | + | 0.00529961i | ||||
\(181\) | −4.26838 | − | 21.4586i | −0.317266 | − | 1.59501i | −0.729535 | − | 0.683944i | \(-0.760263\pi\) |
0.412268 | − | 0.911062i | \(-0.364737\pi\) | |||||||
\(182\) | 15.7713 | + | 3.13711i | 1.16905 | + | 0.232538i | ||||
\(183\) | −16.7330 | −1.23694 | ||||||||
\(184\) | 0.577708 | + | 0.114913i | 0.0425892 | + | 0.00847152i | ||||
\(185\) | −2.17588 | − | 4.42020i | −0.159974 | − | 0.324979i | ||||
\(186\) | 0.0817400i | 0.00599347i | ||||||||
\(187\) | 6.56057 | − | 20.0801i | 0.479756 | − | 1.46840i | ||||
\(188\) | −1.34469 | + | 1.34469i | −0.0980719 | + | 0.0980719i | ||||
\(189\) | −10.3876 | − | 25.0778i | −0.755585 | − | 1.82414i | ||||
\(190\) | 0.228167 | − | 1.72359i | 0.0165530 | − | 0.125042i | ||||
\(191\) | −11.6739 | + | 11.6739i | −0.844692 | + | 0.844692i | −0.989465 | − | 0.144773i | \(-0.953755\pi\) |
0.144773 | + | 0.989465i | \(0.453755\pi\) | |||||||
\(192\) | −0.330896 | + | 1.66353i | −0.0238804 | + | 0.120055i | ||||
\(193\) | 1.94079 | − | 2.90460i | 0.139701 | − | 0.209078i | −0.755021 | − | 0.655700i | \(-0.772373\pi\) |
0.894722 | + | 0.446623i | \(0.147373\pi\) | |||||||
\(194\) | 1.50604 | + | 1.00630i | 0.108127 | + | 0.0722482i | ||||
\(195\) | −10.6782 | + | 5.25642i | −0.764680 | + | 0.376420i | ||||
\(196\) | 17.7910 | + | 7.36927i | 1.27078 | + | 0.526376i | ||||
\(197\) | −0.974422 | − | 4.89875i | −0.0694247 | − | 0.349022i | 0.930423 | − | 0.366488i | \(-0.119440\pi\) |
−0.999847 | + | 0.0174665i | \(0.994440\pi\) | |||||||
\(198\) | 0.524771 | + | 0.350641i | 0.0372939 | + | 0.0249190i | ||||
\(199\) | 6.52396 | + | 9.76379i | 0.462471 | + | 0.692137i | 0.987264 | − | 0.159093i | \(-0.0508571\pi\) |
−0.524793 | + | 0.851230i | \(0.675857\pi\) | |||||||
\(200\) | 0.645551 | + | 4.95815i | 0.0456474 | + | 0.350594i | ||||
\(201\) | −3.30984 | + | 16.6397i | −0.233458 | + | 1.17367i | ||||
\(202\) | 1.37603 | − | 3.32202i | 0.0968169 | − | 0.233737i | ||||
\(203\) | 11.6126 | + | 11.6126i | 0.815044 | + | 0.815044i | ||||
\(204\) | 5.31033 | + | 4.55041i | 0.371797 | + | 0.318593i | ||||
\(205\) | 2.05658 | − | 2.34171i | 0.143638 | − | 0.163552i | ||||
\(206\) | 9.51544 | − | 3.94143i | 0.662972 | − | 0.274612i | ||||
\(207\) | 0.0403117 | + | 0.0603308i | 0.00280186 | + | 0.00419328i | ||||
\(208\) | − | 3.13814i | − | 0.217591i | ||||||
\(209\) | −3.31233 | + | 2.21323i | −0.229119 | + | 0.153092i | ||||
\(210\) | −18.7754 | + | 5.01648i | −1.29562 | + | 0.346170i | ||||
\(211\) | −6.28170 | + | 9.40123i | −0.432450 | + | 0.647207i | −0.982138 | − | 0.188163i | \(-0.939747\pi\) |
0.549688 | + | 0.835370i | \(0.314747\pi\) | |||||||
\(212\) | −10.6972 | + | 4.43093i | −0.734687 | + | 0.304317i | ||||
\(213\) | 12.0784 | − | 5.00302i | 0.827596 | − | 0.342802i | ||||
\(214\) | 7.13338 | − | 10.6759i | 0.487628 | − | 0.729787i | ||||
\(215\) | 5.98350 | − | 1.59870i | 0.408072 | − | 0.109030i | ||||
\(216\) | −4.40453 | + | 2.94302i | −0.299691 | + | 0.200247i | ||||
\(217\) | − | 0.246945i | − | 0.0167637i | ||||||
\(218\) | −1.02144 | − | 1.52870i | −0.0691808 | − | 0.103536i | ||||
\(219\) | 11.2400 | − | 4.65578i | 0.759532 | − | 0.314608i | ||||
\(220\) | 7.55992 | − | 8.60803i | 0.509690 | − | 0.580354i | ||||
\(221\) | −11.2788 | − | 6.34057i | −0.758696 | − | 0.426513i | ||||
\(222\) | −2.64249 | − | 2.64249i | −0.177353 | − | 0.177353i | ||||
\(223\) | 4.64271 | − | 11.2085i | 0.310899 | − | 0.750577i | −0.688773 | − | 0.724977i | \(-0.741850\pi\) |
0.999672 | − | 0.0255998i | \(-0.00814957\pi\) | |||||||
\(224\) | 0.999670 | − | 5.02568i | 0.0667933 | − | 0.335793i | ||||
\(225\) | −0.375649 | + | 0.488110i | −0.0250433 | + | 0.0325407i | ||||
\(226\) | 5.23205 | + | 7.83031i | 0.348031 | + | 0.520865i | ||||
\(227\) | −5.48783 | − | 3.66685i | −0.364240 | − | 0.243377i | 0.359959 | − | 0.932968i | \(-0.382791\pi\) |
−0.724199 | + | 0.689591i | \(0.757791\pi\) | |||||||
\(228\) | −0.257284 | − | 1.29346i | −0.0170391 | − | 0.0856612i | ||||
\(229\) | −8.19020 | − | 3.39249i | −0.541223 | − | 0.224182i | 0.0952875 | − | 0.995450i | \(-0.469623\pi\) |
−0.636511 | + | 0.771268i | \(0.719623\pi\) | |||||||
\(230\) | 1.18169 | − | 0.581696i | 0.0779183 | − | 0.0383559i | ||||
\(231\) | 37.0245 | + | 24.7390i | 2.43603 | + | 1.62771i | ||||
\(232\) | 1.78058 | − | 2.66483i | 0.116901 | − | 0.174955i | ||||
\(233\) | 2.12944 | − | 10.7054i | 0.139504 | − | 0.701336i | −0.846202 | − | 0.532863i | \(-0.821116\pi\) |
0.985706 | − | 0.168474i | \(-0.0538838\pi\) | |||||||
\(234\) | 0.273348 | − | 0.273348i | 0.0178693 | − | 0.0178693i | ||||
\(235\) | −0.558046 | + | 4.21552i | −0.0364029 | + | 0.274990i | ||||
\(236\) | 1.14265 | + | 2.75861i | 0.0743803 | + | 0.179570i | ||||
\(237\) | 11.5745 | − | 11.5745i | 0.751846 | − | 0.751846i | ||||
\(238\) | −16.0430 | − | 13.7473i | −1.03992 | − | 0.891102i | ||||
\(239\) | 2.34241i | 0.151518i | 0.997126 | + | 0.0757590i | \(0.0241380\pi\) | ||||
−0.997126 | + | 0.0757590i | \(0.975862\pi\) | |||||||
\(240\) | 1.67501 | + | 3.40271i | 0.108121 | + | 0.219644i | ||||
\(241\) | 13.5797 | + | 2.70117i | 0.874744 | + | 0.173997i | 0.611990 | − | 0.790865i | \(-0.290369\pi\) |
0.262754 | + | 0.964863i | \(0.415369\pi\) | |||||||
\(242\) | −15.2501 | −0.980316 | ||||||||
\(243\) | −1.25477 | − | 0.249590i | −0.0804937 | − | 0.0160112i | ||||
\(244\) | −1.92465 | − | 9.67589i | −0.123213 | − | 0.619435i | ||||
\(245\) | 41.6003 | − | 11.1149i | 2.65775 | − | 0.710107i | ||||
\(246\) | 0.904669 | − | 2.18406i | 0.0576796 | − | 0.139251i | ||||
\(247\) | 0.933756 | + | 2.25429i | 0.0594135 | + | 0.143437i | ||||
\(248\) | −0.0472664 | + | 0.00940187i | −0.00300142 | + | 0.000597019i | ||||
\(249\) | −28.2101 | + | 5.61134i | −1.78774 | + | 0.355604i | ||||
\(250\) | 7.88874 | + | 7.92261i | 0.498928 | + | 0.501070i | ||||
\(251\) | −0.979211 | − | 0.979211i | −0.0618073 | − | 0.0618073i | 0.675528 | − | 0.737335i | \(-0.263916\pi\) |
−0.737335 | + | 0.675528i | \(0.763916\pi\) | |||||||
\(252\) | 0.524838 | − | 0.350686i | 0.0330617 | − | 0.0220911i | ||||
\(253\) | −2.78815 | − | 1.15489i | −0.175289 | − | 0.0726072i | ||||
\(254\) | −1.37229 | −0.0861049 | ||||||||
\(255\) | 15.6140 | + | 0.854956i | 0.977789 | + | 0.0535394i | ||||
\(256\) | −1.00000 | −0.0625000 | ||||||||
\(257\) | 18.0459 | + | 7.47486i | 1.12567 | + | 0.466269i | 0.866308 | − | 0.499510i | \(-0.166487\pi\) |
0.259365 | + | 0.965779i | \(0.416487\pi\) | |||||||
\(258\) | 3.90612 | − | 2.60999i | 0.243185 | − | 0.162491i | ||||
\(259\) | 7.98324 | + | 7.98324i | 0.496054 | + | 0.496054i | ||||
\(260\) | −4.26776 | − | 5.57008i | −0.264675 | − | 0.345442i | ||||
\(261\) | 0.387217 | − | 0.0770223i | 0.0239682 | − | 0.00476756i | ||||
\(262\) | 0.656138 | − | 0.130514i | 0.0405363 | − | 0.00806317i | ||||
\(263\) | 4.85089 | + | 11.7111i | 0.299118 | + | 0.722136i | 0.999961 | + | 0.00881987i | \(0.00280749\pi\) |
−0.700843 | + | 0.713316i | \(0.747193\pi\) | |||||||
\(264\) | 3.32553 | − | 8.02855i | 0.204672 | − | 0.494123i | ||||
\(265\) | −12.9612 | + | 22.4126i | −0.796203 | + | 1.37679i | ||||
\(266\) | 0.777282 | + | 3.90766i | 0.0476582 | + | 0.239594i | ||||
\(267\) | 11.9380 | + | 2.37461i | 0.730591 | + | 0.145324i | ||||
\(268\) | −10.0027 | −0.611009 | ||||||||
\(269\) | −3.45487 | − | 0.687216i | −0.210647 | − | 0.0419003i | 0.0886386 | − | 0.996064i | \(-0.471748\pi\) |
−0.299286 | + | 0.954164i | \(0.596748\pi\) | |||||||
\(270\) | −3.81549 | + | 11.2138i | −0.232203 | + | 0.682448i | ||||
\(271\) | 16.6923i | 1.01399i | 0.861950 | + | 0.506993i | \(0.169243\pi\) | ||||
−0.861950 | + | 0.506993i | \(0.830757\pi\) | |||||||
\(272\) | −2.02049 | + | 3.59411i | −0.122510 | + | 0.217925i | ||||
\(273\) | 19.2857 | − | 19.2857i | 1.16722 | − | 1.16722i | ||||
\(274\) | −7.23018 | − | 17.4552i | −0.436791 | − | 1.05451i | ||||
\(275\) | 1.71196 | − | 25.5602i | 0.103235 | − | 1.54134i | ||||
\(276\) | 0.706440 | − | 0.706440i | 0.0425227 | − | 0.0425227i | ||||
\(277\) | −5.89170 | + | 29.6196i | −0.353998 | + | 1.77967i | 0.235476 | + | 0.971880i | \(0.424335\pi\) |
−0.589474 | + | 0.807787i | \(0.700665\pi\) | |||||||
\(278\) | 7.42504 | − | 11.1124i | 0.445324 | − | 0.666475i | ||||
\(279\) | −0.00493609 | − | 0.00329819i | −0.000295516 | − | 0.000197457i | ||||
\(280\) | −5.06037 | − | 10.2799i | −0.302415 | − | 0.614343i | ||||
\(281\) | −9.95023 | − | 4.12152i | −0.593581 | − | 0.245869i | 0.0656095 | − | 0.997845i | \(-0.479101\pi\) |
−0.659190 | + | 0.751976i | \(0.729101\pi\) | |||||||
\(282\) | 0.629260 | + | 3.16350i | 0.0374719 | + | 0.188384i | ||||
\(283\) | 20.9307 | + | 13.9854i | 1.24420 | + | 0.831348i | 0.990710 | − | 0.135991i | \(-0.0434217\pi\) |
0.253489 | + | 0.967338i | \(0.418422\pi\) | |||||||
\(284\) | 4.28229 | + | 6.40890i | 0.254107 | + | 0.380298i | ||||
\(285\) | −2.21572 | − | 1.94594i | −0.131248 | − | 0.115267i | ||||
\(286\) | −3.13671 | + | 15.7693i | −0.185477 | + | 0.932457i | ||||
\(287\) | −2.73310 | + | 6.59828i | −0.161330 | + | 0.389484i | ||||
\(288\) | −0.0871050 | − | 0.0871050i | −0.00513271 | − | 0.00513271i | ||||
\(289\) | 8.83526 | + | 14.5237i | 0.519721 | + | 0.854336i | ||||
\(290\) | −0.463606 | − | 7.15150i | −0.0272239 | − | 0.419951i | ||||
\(291\) | 2.83831 | − | 1.17567i | 0.166385 | − | 0.0689189i | ||||
\(292\) | 3.98507 | + | 5.96407i | 0.233208 | + | 0.349021i | ||||
\(293\) | 8.81242i | 0.514827i | 0.966301 | + | 0.257414i | \(0.0828702\pi\) | ||||
−0.966301 | + | 0.257414i | \(0.917130\pi\) | |||||||
\(294\) | 27.1573 | − | 18.1459i | 1.58385 | − | 1.05829i | ||||
\(295\) | 5.77978 | + | 3.34246i | 0.336512 | + | 0.194606i | ||||
\(296\) | 1.22409 | − | 1.83197i | 0.0711486 | − | 0.106481i | ||||
\(297\) | 25.0746 | − | 10.3863i | 1.45498 | − | 0.602672i | ||||
\(298\) | −6.97196 | + | 2.88788i | −0.403875 | + | 0.167290i | ||||
\(299\) | −1.02694 | + | 1.53693i | −0.0593896 | + | 0.0888828i | ||||
\(300\) | 7.60064 | + | 3.76173i | 0.438823 | + | 0.217183i | ||||
\(301\) | −11.8008 | + | 7.88504i | −0.680187 | + | 0.454486i | ||||
\(302\) | 5.46007i | 0.314192i | ||||||||
\(303\) | −3.38830 | − | 5.07095i | −0.194653 | − | 0.291319i | ||||
\(304\) | 0.718351 | − | 0.297551i | 0.0412003 | − | 0.0170657i | ||||
\(305\) | −16.5751 | − | 14.5569i | −0.949085 | − | 0.833525i | ||||
\(306\) | −0.489059 | + | 0.137070i | −0.0279577 | + | 0.00783579i | ||||
\(307\) | 1.58233 | + | 1.58233i | 0.0903081 | + | 0.0903081i | 0.750818 | − | 0.660510i | \(-0.229660\pi\) |
−0.660510 | + | 0.750818i | \(0.729660\pi\) | |||||||
\(308\) | −10.0468 | + | 24.2551i | −0.572468 | + | 1.38206i | ||||
\(309\) | 3.40805 | − | 17.1334i | 0.193877 | − | 0.974685i | ||||
\(310\) | −0.0711099 | + | 0.0809686i | −0.00403877 | + | 0.00459871i | ||||
\(311\) | −3.10147 | − | 4.64168i | −0.175868 | − | 0.263205i | 0.733055 | − | 0.680170i | \(-0.238094\pi\) |
−0.908923 | + | 0.416964i | \(0.863094\pi\) | |||||||
\(312\) | −4.42562 | − | 2.95711i | −0.250552 | − | 0.167413i | ||||
\(313\) | −5.87011 | − | 29.5110i | −0.331798 | − | 1.66806i | −0.681973 | − | 0.731378i | \(-0.738878\pi\) |
0.350174 | − | 0.936685i | \(-0.386122\pi\) | |||||||
\(314\) | 2.60425 | + | 1.07872i | 0.146966 | + | 0.0608754i | ||||
\(315\) | 0.454648 | − | 1.33622i | 0.0256165 | − | 0.0752872i | ||||
\(316\) | 8.02433 | + | 5.36168i | 0.451404 | + | 0.301618i | ||||
\(317\) | 6.01051 | − | 8.99537i | 0.337584 | − | 0.505230i | −0.623374 | − | 0.781924i | \(-0.714239\pi\) |
0.960958 | + | 0.276693i | \(0.0892386\pi\) | |||||||
\(318\) | −3.83131 | + | 19.2613i | −0.214849 | + | 1.08012i | ||||
\(319\) | −11.6111 | + | 11.6111i | −0.650097 | + | 0.650097i | ||||
\(320\) | −1.77496 | + | 1.35996i | −0.0992235 | + | 0.0760244i | ||||
\(321\) | −8.33398 | − | 20.1200i | −0.465157 | − | 1.12299i | ||||
\(322\) | −2.13423 | + | 2.13423i | −0.118936 | + | 0.118936i | ||||
\(323\) | 0.381989 | − | 3.18303i | 0.0212545 | − | 0.177109i | ||||
\(324\) | 8.61527i | 0.478626i | ||||||||
\(325\) | −15.1502 | − | 4.08269i | −0.840384 | − | 0.226467i | ||||
\(326\) | −14.7782 | − | 2.93957i | −0.818491 | − | 0.162808i | ||||
\(327\) | −3.11839 | −0.172448 | ||||||||
\(328\) | 1.36700 | + | 0.271913i | 0.0754799 | + | 0.0150139i | ||||
\(329\) | −1.90106 | − | 9.55727i | −0.104809 | − | 0.526909i | ||||
\(330\) | −5.01584 | − | 18.7730i | −0.276113 | − | 1.03342i | ||||
\(331\) | 8.07529 | − | 19.4955i | 0.443858 | − | 1.07157i | −0.530725 | − | 0.847544i | \(-0.678080\pi\) |
0.974583 | − | 0.224025i | \(-0.0719197\pi\) | |||||||
\(332\) | −6.48955 | − | 15.6672i | −0.356160 | − | 0.859847i | ||||
\(333\) | 0.266198 | − | 0.0529501i | 0.0145876 | − | 0.00290165i | ||||
\(334\) | −20.5303 | + | 4.08374i | −1.12337 | + | 0.223452i | ||||
\(335\) | −17.7543 | + | 13.6033i | −0.970023 | + | 0.743225i | ||||
\(336\) | −6.14557 | − | 6.14557i | −0.335268 | − | 0.335268i | ||||
\(337\) | −22.4356 | + | 14.9910i | −1.22214 | + | 0.816610i | −0.987828 | − | 0.155551i | \(-0.950285\pi\) |
−0.234315 | + | 0.972161i | \(0.575285\pi\) | |||||||
\(338\) | −2.91214 | − | 1.20625i | −0.158400 | − | 0.0656113i | ||||
\(339\) | 15.9731 | 0.867539 | ||||||||
\(340\) | 1.30157 | + | 9.12721i | 0.0705877 | + | 0.494992i | ||||
\(341\) | 0.246913 | 0.0133711 | ||||||||
\(342\) | 0.0884901 | + | 0.0366538i | 0.00478500 | + | 0.00198201i | ||||
\(343\) | −52.2210 | + | 34.8930i | −2.81967 | + | 1.88404i | ||||
\(344\) | 1.95852 | + | 1.95852i | 0.105597 | + | 0.105597i | ||||
\(345\) | 0.293172 | − | 2.21464i | 0.0157838 | − | 0.119232i | ||||
\(346\) | 3.79677 | − | 0.755225i | 0.204116 | − | 0.0406012i | ||||
\(347\) | −29.8614 | + | 5.93981i | −1.60305 | + | 0.318866i | −0.913957 | − | 0.405811i | \(-0.866989\pi\) |
−0.689089 | + | 0.724676i | \(0.741989\pi\) | |||||||
\(348\) | −2.08026 | − | 5.02220i | −0.111514 | − | 0.269218i | ||||
\(349\) | −6.97374 | + | 16.8361i | −0.373296 | + | 0.901216i | 0.619891 | + | 0.784688i | \(0.287177\pi\) |
−0.993187 | + | 0.116528i | \(0.962823\pi\) | |||||||
\(350\) | −22.9623 | − | 11.3646i | −1.22739 | − | 0.607461i | ||||
\(351\) | −3.24311 | − | 16.3042i | −0.173104 | − | 0.870255i | ||||
\(352\) | 5.02504 | + | 0.999543i | 0.267836 | + | 0.0532758i | ||||
\(353\) | 14.1949 | 0.755516 | 0.377758 | − | 0.925904i | \(-0.376695\pi\) | ||||
0.377758 | + | 0.925904i | \(0.376695\pi\) | |||||||
\(354\) | 4.96712 | + | 0.988021i | 0.263999 | + | 0.0525127i | ||||
\(355\) | 16.3168 | + | 5.55180i | 0.866005 | + | 0.294659i | ||||
\(356\) | 7.17629i | 0.380343i | ||||||||
\(357\) | −34.5049 | + | 9.67081i | −1.82619 | + | 0.511833i | ||||
\(358\) | −7.98315 | + | 7.98315i | −0.421922 | + | 0.421922i | ||||
\(359\) | 2.50484 | + | 6.04721i | 0.132200 | + | 0.319159i | 0.976093 | − | 0.217352i | \(-0.0697419\pi\) |
−0.843893 | + | 0.536511i | \(0.819742\pi\) | |||||||
\(360\) | −0.273068 | − | 0.0361484i | −0.0143919 | − | 0.00190519i | ||||
\(361\) | 13.0075 | − | 13.0075i | 0.684607 | − | 0.684607i | ||||
\(362\) | 4.26838 | − | 21.4586i | 0.224341 | − | 1.12784i | ||||
\(363\) | −14.3704 | + | 21.5068i | −0.754250 | + | 1.12881i | ||||
\(364\) | 13.3703 | + | 8.93372i | 0.700792 | + | 0.468254i | ||||
\(365\) | 15.1843 | + | 5.16646i | 0.794781 | + | 0.270425i | ||||
\(366\) | −15.4592 | − | 6.40343i | −0.808068 | − | 0.334713i | ||||
\(367\) | −3.94067 | − | 19.8111i | −0.205701 | − | 1.03413i | −0.936268 | − | 0.351288i | \(-0.885744\pi\) |
0.730567 | − | 0.682842i | \(-0.239256\pi\) | |||||||
\(368\) | 0.489757 | + | 0.327245i | 0.0255304 | + | 0.0170588i | ||||
\(369\) | 0.0953874 | + | 0.142757i | 0.00496567 | + | 0.00743165i | ||||
\(370\) | −0.318713 | − | 4.91640i | −0.0165691 | − | 0.255592i | ||||
\(371\) | 11.5748 | − | 58.1902i | 0.600932 | − | 3.02109i | ||||
\(372\) | −0.0312805 | + | 0.0755179i | −0.00162182 | + | 0.00391542i | ||||
\(373\) | 11.2360 | + | 11.2360i | 0.581778 | + | 0.581778i | 0.935391 | − | 0.353614i | \(-0.115047\pi\) |
−0.353614 | + | 0.935391i | \(0.615047\pi\) | |||||||
\(374\) | 13.7455 | − | 16.0410i | 0.710763 | − | 0.829460i | ||||
\(375\) | 18.6067 | − | 3.65968i | 0.960845 | − | 0.188985i | ||||
\(376\) | −1.75693 | + | 0.727743i | −0.0906066 | + | 0.0375305i | ||||
\(377\) | 5.58771 | + | 8.36261i | 0.287782 | + | 0.430696i | ||||
\(378\) | − | 27.1441i | − | 1.39614i | ||||||
\(379\) | −14.5976 | + | 9.75378i | −0.749827 | + | 0.501018i | −0.870800 | − | 0.491638i | \(-0.836398\pi\) |
0.120973 | + | 0.992656i | \(0.461398\pi\) | |||||||
\(380\) | 0.870389 | − | 1.50507i | 0.0446500 | − | 0.0772087i | ||||
\(381\) | −1.29312 | + | 1.93529i | −0.0662487 | + | 0.0991481i | ||||
\(382\) | −15.2527 | + | 6.31786i | −0.780394 | + | 0.323250i | ||||
\(383\) | 32.4612 | − | 13.4459i | 1.65869 | − | 0.687052i | 0.660714 | − | 0.750638i | \(-0.270254\pi\) |
0.997976 | + | 0.0635858i | \(0.0202536\pi\) | |||||||
\(384\) | −0.942312 | + | 1.41027i | −0.0480872 | + | 0.0719676i | ||||
\(385\) | 15.1534 | + | 56.7151i | 0.772287 | + | 2.89047i | ||||
\(386\) | 2.90460 | − | 1.94079i | 0.147840 | − | 0.0987837i | ||||
\(387\) | 0.341194i | 0.0173439i | ||||||||
\(388\) | 1.00630 | + | 1.50604i | 0.0510872 | + | 0.0764574i | ||||
\(389\) | 7.77876 | − | 3.22207i | 0.394399 | − | 0.163365i | −0.176665 | − | 0.984271i | \(-0.556531\pi\) |
0.571064 | + | 0.820906i | \(0.306531\pi\) | |||||||
\(390\) | −11.8769 | + | 0.769936i | −0.601409 | + | 0.0389872i | ||||
\(391\) | 2.16570 | − | 1.09905i | 0.109524 | − | 0.0555812i | ||||
\(392\) | 13.6166 | + | 13.6166i | 0.687744 | + | 0.687744i | ||||
\(393\) | 0.434227 | − | 1.04832i | 0.0219038 | − | 0.0528806i | ||||
\(394\) | 0.974422 | − | 4.89875i | 0.0490907 | − | 0.246796i | ||||
\(395\) | 21.5346 | − | 1.39601i | 1.08352 | − | 0.0702409i | ||||
\(396\) | 0.350641 | + | 0.524771i | 0.0176204 | + | 0.0263708i | ||||
\(397\) | −8.65471 | − | 5.78289i | −0.434367 | − | 0.290235i | 0.319099 | − | 0.947721i | \(-0.396620\pi\) |
−0.753466 | + | 0.657486i | \(0.771620\pi\) | |||||||
\(398\) | 2.29091 | + | 11.5172i | 0.114833 | + | 0.577304i | ||||
\(399\) | 6.24330 | + | 2.58606i | 0.312556 | + | 0.129465i | ||||
\(400\) | −1.30099 | + | 4.82778i | −0.0650495 | + | 0.241389i | ||||
\(401\) | −13.5931 | − | 9.08260i | −0.678805 | − | 0.453563i | 0.167774 | − | 0.985825i | \(-0.446342\pi\) |
−0.846580 | + | 0.532262i | \(0.821342\pi\) | |||||||
\(402\) | −9.42562 | + | 14.1064i | −0.470107 | + | 0.703565i | ||||
\(403\) | 0.0295044 | − | 0.148329i | 0.00146972 | − | 0.00738877i | ||||
\(404\) | 2.54257 | − | 2.54257i | 0.126497 | − | 0.126497i | ||||
\(405\) | 11.7165 | + | 15.2918i | 0.582196 | + | 0.759855i | ||||
\(406\) | 6.28469 | + | 15.1726i | 0.311904 | + | 0.753003i | ||||
\(407\) | −7.98222 | + | 7.98222i | −0.395664 | + | 0.395664i | ||||
\(408\) | 3.16474 | + | 6.23621i | 0.156678 | + | 0.308738i | ||||
\(409\) | − | 5.87770i | − | 0.290634i | −0.989385 | − | 0.145317i | \(-0.953580\pi\) | ||
0.989385 | − | 0.145317i | \(-0.0464201\pi\) | |||||||
\(410\) | 2.79616 | − | 1.37643i | 0.138093 | − | 0.0679772i | ||||
\(411\) | −31.4296 | − | 6.25174i | −1.55031 | − | 0.308376i | ||||
\(412\) | 10.2994 | 0.507417 | ||||||||
\(413\) | −15.0062 | − | 2.98491i | −0.738405 | − | 0.146878i | ||||
\(414\) | 0.0141556 | + | 0.0711650i | 0.000695710 | + | 0.00349757i | ||||
\(415\) | −32.8255 | − | 18.9831i | −1.61134 | − | 0.931842i | ||||
\(416\) | 1.20091 | − | 2.89926i | 0.0588797 | − | 0.142148i | ||||
\(417\) | −8.67472 | − | 20.9426i | −0.424803 | − | 1.02557i | ||||
\(418\) | −3.90716 | + | 0.777183i | −0.191105 | + | 0.0380132i | ||||
\(419\) | −21.6750 | + | 4.31142i | −1.05889 | + | 0.210627i | −0.693669 | − | 0.720294i | \(-0.744007\pi\) |
−0.365222 | + | 0.930920i | \(0.619007\pi\) | |||||||
\(420\) | −19.2659 | − | 2.55040i | −0.940081 | − | 0.124447i | ||||
\(421\) | −11.7321 | − | 11.7321i | −0.571789 | − | 0.571789i | 0.360839 | − | 0.932628i | \(-0.382490\pi\) |
−0.932628 | + | 0.360839i | \(0.882490\pi\) | |||||||
\(422\) | −9.40123 | + | 6.28170i | −0.457645 | + | 0.305788i | ||||
\(423\) | −0.216427 | − | 0.0896471i | −0.0105231 | − | 0.00435879i | ||||
\(424\) | −11.5786 | −0.562305 | ||||||||
\(425\) | 14.7229 | + | 14.4304i | 0.714167 | + | 0.699976i | ||||
\(426\) | 13.0735 | 0.633415 | ||||||||
\(427\) | 46.7039 | + | 19.3454i | 2.26016 | + | 0.936190i | ||||
\(428\) | 10.6759 | − | 7.13338i | 0.516037 | − | 0.344805i | ||||
\(429\) | 19.2832 | + | 19.2832i | 0.931001 | + | 0.931001i | ||||
\(430\) | 6.13983 | + | 0.812784i | 0.296089 | + | 0.0391959i | ||||
\(431\) | −3.13334 | + | 0.623260i | −0.150928 | + | 0.0300214i | −0.269976 | − | 0.962867i | \(-0.587016\pi\) |
0.119048 | + | 0.992888i | \(0.462016\pi\) | |||||||
\(432\) | −5.19550 | + | 1.03345i | −0.249969 | + | 0.0497219i | ||||
\(433\) | −10.6457 | − | 25.7010i | −0.511600 | − | 1.23511i | −0.942952 | − | 0.332928i | \(-0.891963\pi\) |
0.431352 | − | 0.902184i | \(-0.358037\pi\) | |||||||
\(434\) | 0.0945016 | − | 0.228147i | 0.00453622 | − | 0.0109514i | ||||
\(435\) | −10.5224 | − | 6.08514i | −0.504511 | − | 0.291760i | ||||
\(436\) | −0.358683 | − | 1.80322i | −0.0171778 | − | 0.0863586i | ||||
\(437\) | −0.449190 | − | 0.0893494i | −0.0214877 | − | 0.00427416i | ||||
\(438\) | 12.1661 | 0.581320 | ||||||||
\(439\) | 26.9898 | + | 5.36860i | 1.28815 | + | 0.256230i | 0.791205 | − | 0.611551i | \(-0.209454\pi\) |
0.496948 | + | 0.867780i | \(0.334454\pi\) | |||||||
\(440\) | 10.2786 | − | 5.05973i | 0.490013 | − | 0.241213i | ||||
\(441\) | 2.37215i | 0.112960i | ||||||||
\(442\) | −7.99384 | − | 10.1741i | −0.380228 | − | 0.483935i | ||||
\(443\) | −7.62236 | + | 7.62236i | −0.362149 | + | 0.362149i | −0.864604 | − | 0.502454i | \(-0.832431\pi\) |
0.502454 | + | 0.864604i | \(0.332431\pi\) | |||||||
\(444\) | −1.43011 | − | 3.45259i | −0.0678699 | − | 0.163852i | ||||
\(445\) | 9.75951 | + | 12.7377i | 0.462645 | + | 0.603823i | ||||
\(446\) | 8.57861 | − | 8.57861i | 0.406209 | − | 0.406209i | ||||
\(447\) | −2.49707 | + | 12.5536i | −0.118108 | + | 0.593767i | ||||
\(448\) | 2.84682 | − | 4.26057i | 0.134500 | − | 0.201293i | ||||
\(449\) | −13.7829 | − | 9.20944i | −0.650456 | − | 0.434621i | 0.186079 | − | 0.982535i | \(-0.440422\pi\) |
−0.836534 | + | 0.547914i | \(0.815422\pi\) | |||||||
\(450\) | −0.533846 | + | 0.307201i | −0.0251657 | + | 0.0144816i | ||||
\(451\) | −6.59744 | − | 2.73275i | −0.310661 | − | 0.128680i | ||||
\(452\) | 1.83725 | + | 9.23648i | 0.0864170 | + | 0.434448i | ||||
\(453\) | 7.70017 | + | 5.14509i | 0.361786 | + | 0.241737i | ||||
\(454\) | −3.66685 | − | 5.48783i | −0.172094 | − | 0.257557i | ||||
\(455\) | 35.8813 | − | 2.32605i | 1.68214 | − | 0.109047i | ||||
\(456\) | 0.257284 | − | 1.29346i | 0.0120484 | − | 0.0605716i | ||||
\(457\) | 4.40392 | − | 10.6320i | 0.206007 | − | 0.497344i | −0.786781 | − | 0.617233i | \(-0.788254\pi\) |
0.992787 | + | 0.119889i | \(0.0382538\pi\) | |||||||
\(458\) | −6.26850 | − | 6.26850i | −0.292908 | − | 0.292908i | ||||
\(459\) | −6.78312 | + | 20.7613i | −0.316609 | + | 0.969054i | ||||
\(460\) | 1.31434 | − | 0.0852042i | 0.0612816 | − | 0.00397267i | ||||
\(461\) | 5.56273 | − | 2.30416i | 0.259082 | − | 0.107315i | −0.249362 | − | 0.968410i | \(-0.580221\pi\) |
0.508444 | + | 0.861095i | \(0.330221\pi\) | |||||||
\(462\) | 24.7390 | + | 37.0245i | 1.15096 | + | 1.72254i | ||||
\(463\) | − | 16.9129i | − | 0.786008i | −0.919537 | − | 0.393004i | \(-0.871436\pi\) | ||
0.919537 | − | 0.393004i | \(-0.128564\pi\) | |||||||
\(464\) | 2.66483 | − | 1.78058i | 0.123712 | − | 0.0826614i | ||||
\(465\) | 0.0471799 | + | 0.176582i | 0.00218791 | + | 0.00818879i | ||||
\(466\) | 6.06414 | − | 9.07563i | 0.280916 | − | 0.420420i | ||||
\(467\) | 16.2273 | − | 6.72155i | 0.750908 | − | 0.311036i | 0.0257959 | − | 0.999667i | \(-0.491788\pi\) |
0.725112 | + | 0.688631i | \(0.241788\pi\) | |||||||
\(468\) | 0.357146 | − | 0.147935i | 0.0165091 | − | 0.00683828i | ||||
\(469\) | 28.4757 | − | 42.6170i | 1.31489 | − | 1.96787i | ||||
\(470\) | −2.12878 | + | 3.68108i | −0.0981932 | + | 0.169795i | ||||
\(471\) | 3.97530 | − | 2.65621i | 0.183172 | − | 0.122392i | ||||
\(472\) | 2.98589i | 0.137437i | ||||||||
\(473\) | −7.88403 | − | 11.7993i | −0.362508 | − | 0.542532i | ||||
\(474\) | 15.1228 | − | 6.26409i | 0.694615 | − | 0.287719i | ||||
\(475\) | −0.501941 | − | 3.85515i | −0.0230306 | − | 0.176886i | ||||
\(476\) | −9.56099 | − | 18.8402i | −0.438227 | − | 0.863540i | ||||
\(477\) | −1.00855 | − | 1.00855i | −0.0461784 | − | 0.0461784i | ||||
\(478\) | −0.896403 | + | 2.16411i | −0.0410005 | + | 0.0989840i | ||||
\(479\) | 0.867654 | − | 4.36199i | 0.0396441 | − | 0.199304i | −0.955888 | − | 0.293733i | \(-0.905102\pi\) |
0.995532 | + | 0.0944285i | \(0.0301024\pi\) | |||||||
\(480\) | 0.245348 | + | 3.78469i | 0.0111985 | + | 0.172747i | ||||
\(481\) | 3.84135 | + | 5.74899i | 0.175151 | + | 0.262132i | ||||
\(482\) | 11.5123 | + | 7.69227i | 0.524371 | + | 0.350373i | ||||
\(483\) | 0.998728 | + | 5.02095i | 0.0454437 | + | 0.228461i | ||||
\(484\) | −14.0893 | − | 5.83597i | −0.640422 | − | 0.265272i | ||||
\(485\) | 3.83430 | + | 1.30462i | 0.174107 | + | 0.0592399i | ||||
\(486\) | −1.06375 | − | 0.710772i | −0.0482525 | − | 0.0322413i | ||||
\(487\) | −5.37519 | + | 8.04454i | −0.243573 | + | 0.364533i | −0.933033 | − | 0.359791i | \(-0.882848\pi\) |
0.689460 | + | 0.724324i | \(0.257848\pi\) | |||||||
\(488\) | 1.92465 | − | 9.67589i | 0.0871250 | − | 0.438007i | ||||
\(489\) | −18.0713 | + | 18.0713i | −0.817213 | + | 0.817213i | ||||
\(490\) | 42.6872 | + | 5.65088i | 1.92841 | + | 0.255281i | ||||
\(491\) | 14.6501 | + | 35.3685i | 0.661150 | + | 1.59616i | 0.796004 | + | 0.605292i | \(0.206944\pi\) |
−0.134854 | + | 0.990866i | \(0.543056\pi\) | |||||||
\(492\) | 1.67161 | − | 1.67161i | 0.0753620 | − | 0.0753620i | ||||
\(493\) | −1.01535 | − | 13.1753i | −0.0457292 | − | 0.593387i | ||||
\(494\) | 2.44002i | 0.109782i | ||||||||
\(495\) | 1.33605 | + | 0.454591i | 0.0600508 | + | 0.0204323i | ||||
\(496\) | −0.0472664 | − | 0.00940187i | −0.00212232 | − | 0.000422156i | ||||
\(497\) | −39.4965 | −1.77166 | ||||||||
\(498\) | −28.2101 | − | 5.61134i | −1.26413 | − | 0.251450i | ||||
\(499\) | −0.578259 | − | 2.90710i | −0.0258864 | − | 0.130140i | 0.965681 | − | 0.259730i | \(-0.0836337\pi\) |
−0.991568 | + | 0.129591i | \(0.958634\pi\) | |||||||
\(500\) | 4.25640 | + | 10.3384i | 0.190352 | + | 0.462349i | ||||
\(501\) | −13.5868 | + | 32.8015i | −0.607014 | + | 1.46546i | ||||
\(502\) | −0.529945 | − | 1.27940i | −0.0236526 | − | 0.0571025i | ||||
\(503\) | 18.4949 | − | 3.67885i | 0.824645 | − | 0.164032i | 0.235309 | − | 0.971921i | \(-0.424390\pi\) |
0.589335 | + | 0.807889i | \(0.299390\pi\) | |||||||
\(504\) | 0.619089 | − | 0.123144i | 0.0275764 | − | 0.00548529i | ||||
\(505\) | 1.05516 | − | 7.97076i | 0.0469541 | − | 0.354694i | ||||
\(506\) | −2.13396 | − | 2.13396i | −0.0948659 | − | 0.0948659i | ||||
\(507\) | −4.44528 | + | 2.97024i | −0.197422 | + | 0.131913i | ||||
\(508\) | −1.26783 | − | 0.525151i | −0.0562507 | − | 0.0232998i | ||||
\(509\) | −5.30040 | −0.234936 | −0.117468 | − | 0.993077i | \(-0.537478\pi\) | ||||
−0.117468 | + | 0.993077i | \(0.537478\pi\) | |||||||
\(510\) | 14.0983 | + | 6.76511i | 0.624284 | + | 0.299564i | ||||
\(511\) | −36.7551 | −1.62595 | ||||||||
\(512\) | −0.923880 | − | 0.382683i | −0.0408301 | − | 0.0169124i | ||||
\(513\) | 3.42469 | − | 2.28831i | 0.151204 | − | 0.101031i | ||||
\(514\) | 13.8117 | + | 13.8117i | 0.609210 | + | 0.609210i | ||||
\(515\) | 18.2811 | − | 14.0069i | 0.805563 | − | 0.617217i | ||||
\(516\) | 4.60759 | − | 0.916506i | 0.202838 | − | 0.0403469i | ||||
\(517\) | 9.55605 | − | 1.90082i | 0.420274 | − | 0.0835978i | ||||
\(518\) | 4.32050 | + | 10.4306i | 0.189832 | + | 0.458295i | ||||
\(519\) | 2.51268 | − | 6.06614i | 0.110294 | − | 0.266274i | ||||
\(520\) | −1.81132 | − | 6.77929i | −0.0794315 | − | 0.297291i | ||||
\(521\) | 3.13756 | + | 15.7736i | 0.137459 | + | 0.691053i | 0.986635 | + | 0.162944i | \(0.0520989\pi\) |
−0.849176 | + | 0.528109i | \(0.822901\pi\) | |||||||
\(522\) | 0.387217 | + | 0.0770223i | 0.0169480 | + | 0.00337118i | ||||
\(523\) | 13.3777 | 0.584968 | 0.292484 | − | 0.956270i | \(-0.405518\pi\) | ||||
0.292484 | + | 0.956270i | \(0.405518\pi\) | |||||||
\(524\) | 0.656138 | + | 0.130514i | 0.0286635 | + | 0.00570153i | ||||
\(525\) | −37.6648 | + | 21.6741i | −1.64382 | + | 0.945935i | ||||
\(526\) | 12.6760i | 0.552699i | ||||||||
\(527\) | −0.129293 | + | 0.150884i | −0.00563207 | + | 0.00657262i | ||||
\(528\) | 6.14479 | − | 6.14479i | 0.267417 | − | 0.267417i | ||||
\(529\) | 8.66895 | + | 20.9287i | 0.376911 | + | 0.909943i | ||||
\(530\) | −20.5515 | + | 15.7465i | −0.892702 | + | 0.683982i | ||||
\(531\) | −0.260086 | + | 0.260086i | −0.0112868 | + | 0.0112868i | ||||
\(532\) | −0.777282 | + | 3.90766i | −0.0336994 | + | 0.169418i | ||||
\(533\) | −2.42999 | + | 3.63674i | −0.105255 | + | 0.157525i | ||||
\(534\) | 10.1205 | + | 6.76231i | 0.437957 | + | 0.292634i | ||||
\(535\) | 9.24812 | − | 27.1803i | 0.399831 | − | 1.17511i | ||||
\(536\) | −9.24124 | − | 3.82785i | −0.399161 | − | 0.165338i | ||||
\(537\) | 3.73578 | + | 18.7810i | 0.161211 | + | 0.810461i | ||||
\(538\) | −2.92890 | − | 1.95703i | −0.126274 | − | 0.0843734i | ||||
\(539\) | −54.8137 | − | 82.0346i | −2.36099 | − | 3.53348i | ||||
\(540\) | −7.81637 | + | 8.90004i | −0.336363 | + | 0.382997i | ||||
\(541\) | 2.60042 | − | 13.0732i | 0.111801 | − | 0.562060i | −0.883760 | − | 0.467940i | \(-0.844996\pi\) |
0.995561 | − | 0.0941200i | \(-0.0300037\pi\) | |||||||
\(542\) | −6.38787 | + | 15.4217i | −0.274383 | + | 0.662418i | ||||
\(543\) | −26.2403 | − | 26.2403i | −1.12608 | − | 1.12608i | ||||
\(544\) | −3.24209 | + | 2.54732i | −0.139004 | + | 0.109215i | ||||
\(545\) | −3.08897 | − | 2.71285i | −0.132317 | − | 0.116206i | ||||
\(546\) | 25.1979 | − | 10.4373i | 1.07837 | − | 0.446676i | ||||
\(547\) | 15.6189 | + | 23.3754i | 0.667817 | + | 0.999459i | 0.998448 | + | 0.0556988i | \(0.0177387\pi\) |
−0.330630 | + | 0.943760i | \(0.607261\pi\) | |||||||
\(548\) | − | 18.8934i | − | 0.807085i | ||||||
\(549\) | 1.01047 | − | 0.675171i | 0.0431256 | − | 0.0288156i | ||||
\(550\) | 11.3631 | − | 22.9594i | 0.484524 | − | 0.978991i | ||||
\(551\) | −1.38447 | + | 2.07201i | −0.0589804 | + | 0.0882704i | ||||
\(552\) | 0.923009 | − | 0.382323i | 0.0392859 | − | 0.0162727i | ||||
\(553\) | −45.6876 | + | 18.9244i | −1.94284 | + | 0.804749i | ||||
\(554\) | −16.7781 | + | 25.1103i | −0.712835 | + | 1.06683i | ||||
\(555\) | −7.23378 | − | 4.18332i | −0.307057 | − | 0.177572i | ||||
\(556\) | 11.1124 | − | 7.42504i | 0.471269 | − | 0.314892i | ||||
\(557\) | − | 46.0957i | − | 1.95314i | −0.215210 | − | 0.976568i | \(-0.569044\pi\) | ||
0.215210 | − | 0.976568i | \(-0.430956\pi\) | |||||||
\(558\) | −0.00329819 | − | 0.00493609i | −0.000139623 | − | 0.000208961i | ||||
\(559\) | −8.03029 | + | 3.32626i | −0.339645 | + | 0.140686i | ||||
\(560\) | −0.741221 | − | 11.4339i | −0.0313223 | − | 0.483172i | ||||
\(561\) | −9.66958 | − | 34.5005i | −0.408250 | − | 1.45661i | ||||
\(562\) | −7.61557 | − | 7.61557i | −0.321244 | − | 0.321244i | ||||
\(563\) | −10.3783 | + | 25.0553i | −0.437391 | + | 1.05596i | 0.539455 | + | 0.842014i | \(0.318630\pi\) |
−0.976846 | + | 0.213942i | \(0.931370\pi\) | |||||||
\(564\) | −0.629260 | + | 3.16350i | −0.0264966 | + | 0.133208i | ||||
\(565\) | 15.8223 | + | 13.8958i | 0.665651 | + | 0.584602i | ||||
\(566\) | 13.9854 | + | 20.9307i | 0.587851 | + | 0.879782i | ||||
\(567\) | −36.7059 | − | 24.5261i | −1.54150 | − | 1.03000i | ||||
\(568\) | 1.50374 | + | 7.55981i | 0.0630955 | + | 0.317203i | ||||
\(569\) | 26.6015 | + | 11.0187i | 1.11519 | + | 0.461928i | 0.862723 | − | 0.505677i | \(-0.168757\pi\) |
0.252470 | + | 0.967605i | \(0.418757\pi\) | |||||||
\(570\) | −1.30238 | − | 2.64573i | −0.0545509 | − | 0.110818i | ||||
\(571\) | 22.2050 | + | 14.8369i | 0.929251 | + | 0.620906i | 0.925361 | − | 0.379087i | \(-0.123762\pi\) |
0.00389002 | + | 0.999992i | \(0.498762\pi\) | |||||||
\(572\) | −8.93258 | + | 13.3686i | −0.373490 | + | 0.558967i | ||||
\(573\) | −5.46288 | + | 27.4638i | −0.228215 | + | 1.14731i | ||||
\(574\) | −5.05010 | + | 5.05010i | −0.210787 | + | 0.210787i | ||||
\(575\) | 2.21704 | − | 1.93870i | 0.0924568 | − | 0.0808492i | ||||
\(576\) | −0.0471409 | − | 0.113808i | −0.00196420 | − | 0.00474201i | ||||
\(577\) | 25.5595 | − | 25.5595i | 1.06406 | − | 1.06406i | 0.0662536 | − | 0.997803i | \(-0.478895\pi\) |
0.997803 | − | 0.0662536i | \(-0.0211046\pi\) | |||||||
\(578\) | 2.60473 | + | 16.7993i | 0.108343 | + | 0.698757i | ||||
\(579\) | − | 5.92510i | − | 0.246239i | ||||||
\(580\) | 2.30845 | − | 6.78454i | 0.0958530 | − | 0.281713i | ||||
\(581\) | 85.2256 | + | 16.9524i | 3.53575 | + | 0.703305i | ||||
\(582\) | 3.07217 | 0.127345 | ||||||||
\(583\) | 58.1828 | + | 11.5733i | 2.40969 | + | 0.479316i | ||||
\(584\) | 1.39937 | + | 7.03510i | 0.0579063 | + | 0.291115i | ||||
\(585\) | 0.432735 | − | 0.748284i | 0.0178914 | − | 0.0309378i | ||||
\(586\) | −3.37237 | + | 8.14161i | −0.139311 | + | 0.336327i | ||||
\(587\) | −3.32059 | − | 8.01661i | −0.137055 | − | 0.330881i | 0.840418 | − | 0.541938i | \(-0.182309\pi\) |
−0.977474 | + | 0.211057i | \(0.932309\pi\) | |||||||
\(588\) | 32.0343 | − | 6.37201i | 1.32107 | − | 0.262777i | ||||
\(589\) | 0.0367514 | − | 0.00731031i | 0.00151432 | − | 0.000301216i | ||||
\(590\) | 4.06071 | + | 5.29985i | 0.167177 | + | 0.218192i | ||||
\(591\) | −5.99035 | − | 5.99035i | −0.246410 | − | 0.246410i | ||||
\(592\) | 1.83197 | − | 1.22409i | 0.0752937 | − | 0.0503096i | ||||
\(593\) | 9.28441 | + | 3.84573i | 0.381265 | + | 0.157925i | 0.565081 | − | 0.825036i | \(-0.308845\pi\) |
−0.183816 | + | 0.982961i | \(0.558845\pi\) | |||||||
\(594\) | 27.1406 | 1.11359 | ||||||||
\(595\) | −42.5924 | − | 20.4381i | −1.74612 | − | 0.837880i | ||||
\(596\) | −7.54640 | −0.309112 | ||||||||
\(597\) | 18.4011 | + | 7.62198i | 0.753106 | + | 0.311947i | ||||
\(598\) | −1.53693 | + | 1.02694i | −0.0628496 | + | 0.0419948i | ||||
\(599\) | 27.5213 | + | 27.5213i | 1.12449 | + | 1.12449i | 0.991058 | + | 0.133434i | \(0.0426003\pi\) |
0.133434 | + | 0.991058i | \(0.457400\pi\) | |||||||
\(600\) | 5.58253 | + | 6.38402i | 0.227906 | + | 0.260627i | ||||
\(601\) | −46.8532 | + | 9.31969i | −1.91118 | + | 0.380158i | −0.999526 | − | 0.0307923i | \(-0.990197\pi\) |
−0.911658 | + | 0.410950i | \(0.865197\pi\) | |||||||
\(602\) | −13.9200 | + | 2.76886i | −0.567336 | + | 0.112850i | ||||
\(603\) | −0.471534 | − | 1.13838i | −0.0192023 | − | 0.0463585i | ||||
\(604\) | −2.08948 | + | 5.04445i | −0.0850197 | + | 0.205256i | ||||
\(605\) | −32.9447 | + | 8.80230i | −1.33939 | + | 0.357864i | ||||
\(606\) | −1.18981 | − | 5.98160i | −0.0483329 | − | 0.242986i | ||||
\(607\) | 17.9234 | + | 3.56519i | 0.727488 | + | 0.144706i | 0.544922 | − | 0.838487i | \(-0.316559\pi\) |
0.182567 | + | 0.983193i | \(0.441559\pi\) | |||||||
\(608\) | 0.777538 | 0.0315333 | ||||||||
\(609\) | 27.3196 | + | 5.43420i | 1.10705 | + | 0.220205i | ||||
\(610\) | −9.74268 | − | 19.7918i | −0.394470 | − | 0.801347i | ||||
\(611\) | − | 5.96775i | − | 0.241429i | ||||||
\(612\) | −0.504287 | − | 0.0605184i | −0.0203846 | − | 0.00244631i | ||||
\(613\) | 13.0949 | − | 13.0949i | 0.528900 | − | 0.528900i | −0.391345 | − | 0.920244i | \(-0.627990\pi\) |
0.920244 | + | 0.391345i | \(0.127990\pi\) | |||||||
\(614\) | 0.856349 | + | 2.06741i | 0.0345594 | + | 0.0834338i | ||||
\(615\) | 0.693716 | − | 5.24038i | 0.0279733 | − | 0.211312i | ||||
\(616\) | −18.5640 | + | 18.5640i | −0.747965 | + | 0.747965i | ||||
\(617\) | −3.54142 | + | 17.8039i | −0.142572 | + | 0.716759i | 0.841678 | + | 0.539980i | \(0.181568\pi\) |
−0.984250 | + | 0.176780i | \(0.943432\pi\) | |||||||
\(618\) | 9.70529 | − | 14.5250i | 0.390404 | − | 0.584281i | ||||
\(619\) | −0.888855 | − | 0.593914i | −0.0357261 | − | 0.0238714i | 0.537579 | − | 0.843213i | \(-0.319339\pi\) |
−0.573305 | + | 0.819342i | \(0.694339\pi\) | |||||||
\(620\) | −0.0966823 | + | 0.0475927i | −0.00388286 | + | 0.00191137i | ||||
\(621\) | 2.88273 | + | 1.19406i | 0.115680 | + | 0.0479162i | ||||
\(622\) | −1.08909 | − | 5.47523i | −0.0436686 | − | 0.219537i | ||||
\(623\) | −30.5751 | − | 20.4296i | −1.22496 | − | 0.818495i | ||||
\(624\) | −2.95711 | − | 4.42562i | −0.118379 | − | 0.177167i | ||||
\(625\) | 21.6148 | + | 12.5618i | 0.864594 | + | 0.502471i | ||||
\(626\) | 5.87011 | − | 29.5110i | 0.234617 | − | 1.17950i | ||||
\(627\) | −2.58573 | + | 6.24250i | −0.103264 | + | 0.249301i | ||||
\(628\) | 1.99321 | + | 1.99321i | 0.0795376 | + | 0.0795376i | ||||
\(629\) | −0.698020 | − | 9.05757i | −0.0278319 | − | 0.361149i | ||||
\(630\) | 0.931388 | − | 1.06052i | 0.0371074 | − | 0.0422520i | ||||
\(631\) | 20.4042 | − | 8.45171i | 0.812279 | − | 0.336457i | 0.0624162 | − | 0.998050i | \(-0.480119\pi\) |
0.749863 | + | 0.661593i | \(0.230119\pi\) | |||||||
\(632\) | 5.36168 | + | 8.02433i | 0.213276 | + | 0.319191i | ||||
\(633\) | 19.1776i | 0.762241i | ||||||||
\(634\) | 8.99537 | − | 6.01051i | 0.357252 | − | 0.238708i | ||||
\(635\) | −2.96453 | + | 0.792076i | −0.117644 | + | 0.0314326i | ||||
\(636\) | −10.9106 | + | 16.3289i | −0.432635 | + | 0.647484i | ||||
\(637\) | −55.8306 | + | 23.1258i | −2.21209 | + | 0.916277i | ||||
\(638\) | −15.1706 | + | 6.28389i | −0.600612 | + | 0.248781i | ||||
\(639\) | −0.527514 | + | 0.789480i | −0.0208681 | + | 0.0312314i | ||||
\(640\) | −2.16029 | + | 0.577195i | −0.0853929 | + | 0.0228156i | ||||
\(641\) | 21.9897 | − | 14.6930i | 0.868539 | − | 0.580339i | −0.0395024 | − | 0.999219i | \(-0.512577\pi\) |
0.908041 | + | 0.418880i | \(0.137577\pi\) | |||||||
\(642\) | − | 21.7777i | − | 0.859498i | ||||||
\(643\) | −19.1860 | − | 28.7138i | −0.756620 | − | 1.13236i | −0.987228 | − | 0.159315i | \(-0.949071\pi\) |
0.230608 | − | 0.973047i | \(-0.425929\pi\) | |||||||
\(644\) | −2.78850 | + | 1.15504i | −0.109882 | + | 0.0455148i | ||||
\(645\) | 6.93189 | − | 7.89292i | 0.272943 | − | 0.310784i | ||||
\(646\) | 1.57101 | − | 2.79456i | 0.0618104 | − | 0.109950i | ||||
\(647\) | 8.93147 | + | 8.93147i | 0.351132 | + | 0.351132i | 0.860531 | − | 0.509399i | \(-0.170132\pi\) |
−0.509399 | + | 0.860531i | \(0.670132\pi\) | |||||||
\(648\) | −3.29692 | + | 7.95947i | −0.129515 | + | 0.312678i | ||||
\(649\) | 2.98453 | − | 15.0042i | 0.117153 | − | 0.588968i | ||||
\(650\) | −12.4346 | − | 9.56966i | −0.487726 | − | 0.375353i | ||||
\(651\) | −0.232699 | − | 0.348259i | −0.00912019 | − | 0.0136493i | ||||
\(652\) | −12.5284 | − | 8.37120i | −0.490649 | − | 0.327842i | ||||
\(653\) | 4.65071 | + | 23.3807i | 0.181996 | + | 0.914957i | 0.958554 | + | 0.284911i | \(0.0919641\pi\) |
−0.776558 | + | 0.630046i | \(0.783036\pi\) | |||||||
\(654\) | −2.88102 | − | 1.19336i | −0.112657 | − | 0.0466640i | ||||
\(655\) | 1.34211 | − | 0.660667i | 0.0524408 | − | 0.0258144i | ||||
\(656\) | 1.15889 | + | 0.774342i | 0.0452469 | + | 0.0302330i | ||||
\(657\) | −0.490901 | + | 0.734685i | −0.0191519 | + | 0.0286628i | ||||
\(658\) | 1.90106 | − | 9.55727i | 0.0741110 | − | 0.372581i | ||||
\(659\) | −14.0494 | + | 14.0494i | −0.547286 | + | 0.547286i | −0.925655 | − | 0.378369i | \(-0.876485\pi\) |
0.378369 | + | 0.925655i | \(0.376485\pi\) | |||||||
\(660\) | 2.55008 | − | 19.2635i | 0.0992616 | − | 0.749829i | ||||
\(661\) | −8.60461 | − | 20.7734i | −0.334681 | − | 0.807990i | −0.998208 | − | 0.0598384i | \(-0.980941\pi\) |
0.663528 | − | 0.748152i | \(-0.269059\pi\) | |||||||
\(662\) | 14.9212 | − | 14.9212i | 0.579929 | − | 0.579929i | ||||
\(663\) | −21.8810 | + | 1.68625i | −0.849787 | + | 0.0654886i | ||||
\(664\) | − | 16.9580i | − | 0.658098i | ||||||
\(665\) | 3.93463 | + | 7.99303i | 0.152578 | + | 0.309956i | ||||
\(666\) | 0.266198 | + | 0.0529501i | 0.0103150 | + | 0.00205177i | ||||
\(667\) | −1.88781 | −0.0730962 | ||||||||
\(668\) | −20.5303 | − | 4.08374i | −0.794343 | − | 0.158005i | ||||
\(669\) | −4.01443 | − | 20.1819i | −0.155207 | − | 0.780277i | ||||
\(670\) | −21.6086 | + | 5.77348i | −0.834813 | + | 0.223049i | ||||
\(671\) | −19.3429 | + | 46.6980i | −0.746726 | + | 1.80276i | ||||
\(672\) | −3.32596 | − | 8.02957i | −0.128302 | − | 0.309747i | ||||
\(673\) | −13.7764 | + | 2.74030i | −0.531043 | + | 0.105631i | −0.453327 | − | 0.891345i | \(-0.649763\pi\) |
−0.0777163 | + | 0.996976i | \(0.524763\pi\) | |||||||
\(674\) | −26.4646 | + | 5.26413i | −1.01938 | + | 0.202767i | ||||
\(675\) | −1.77004 | + | 26.4272i | −0.0681288 | + | 1.01718i | ||||
\(676\) | −2.22886 | − | 2.22886i | −0.0857253 | − | 0.0857253i | ||||
\(677\) | 32.3085 | − | 21.5878i | 1.24172 | − | 0.829688i | 0.251314 | − | 0.967906i | \(-0.419137\pi\) |
0.990402 | + | 0.138218i | \(0.0441374\pi\) | |||||||
\(678\) | 14.7572 | + | 6.11263i | 0.566747 | + | 0.234754i | ||||
\(679\) | −9.28133 | −0.356185 | ||||||||
\(680\) | −2.29033 | + | 8.93053i | −0.0878303 | + | 0.342470i | ||||
\(681\) | −11.1946 | −0.428980 | ||||||||
\(682\) | 0.228118 | + | 0.0944896i | 0.00873509 | + | 0.00361819i | ||||
\(683\) | −24.1643 | + | 16.1461i | −0.924622 | + | 0.617812i | −0.924085 | − | 0.382187i | \(-0.875171\pi\) |
−0.000536757 | 1.00000i | \(0.500171\pi\) | ||||||||
\(684\) | 0.0677274 | + | 0.0677274i | 0.00258962 | + | 0.00258962i | ||||
\(685\) | −25.6943 | − | 33.5351i | −0.981730 | − | 1.28131i | ||||
\(686\) | −61.5989 | + | 12.2528i | −2.35186 | + | 0.467814i | ||||
\(687\) | −14.7472 | + | 2.93340i | −0.562640 | + | 0.111916i | ||||
\(688\) | 1.05995 | + | 2.55893i | 0.0404100 | + | 0.0975585i | ||||
\(689\) | 13.9049 | − | 33.5693i | 0.529734 | − | 1.27889i | ||||
\(690\) | 1.11836 | − | 1.93387i | 0.0425753 | − | 0.0736211i | ||||
\(691\) | 4.61724 | + | 23.2124i | 0.175648 | + | 0.883043i | 0.963609 | + | 0.267317i | \(0.0861370\pi\) |
−0.787961 | + | 0.615726i | \(0.788863\pi\) | |||||||
\(692\) | 3.79677 | + | 0.755225i | 0.144332 | + | 0.0287094i | ||||
\(693\) | −3.23404 | −0.122851 | ||||||||
\(694\) | −29.8614 | − | 5.93981i | −1.13353 | − | 0.225472i | ||||
\(695\) | 9.62624 | − | 28.2916i | 0.365144 | − | 1.07316i | ||||
\(696\) | − | 5.43599i | − | 0.206051i | ||||||
\(697\) | 5.12459 | − | 2.60061i | 0.194108 | − | 0.0985052i | ||||
\(698\) | −12.8858 | + | 12.8858i | −0.487735 | + | 0.487735i | ||||
\(699\) | −7.08477 | − | 17.1042i | −0.267971 | − | 0.646938i | ||||
\(700\) | −16.8654 | − | 19.2868i | −0.637451 | − | 0.728971i | ||||
\(701\) | −9.26238 | + | 9.26238i | −0.349835 | + | 0.349835i | −0.860048 | − | 0.510213i | \(-0.829567\pi\) |
0.510213 | + | 0.860048i | \(0.329567\pi\) | |||||||
\(702\) | 3.24311 | − | 16.3042i | 0.122403 | − | 0.615363i | ||||
\(703\) | −0.951774 | + | 1.42443i | −0.0358968 | + | 0.0537234i | ||||
\(704\) | 4.26003 | + | 2.84646i | 0.160556 | + | 0.107280i | ||||
\(705\) | 3.18534 | + | 6.47088i | 0.119967 | + | 0.243707i | ||||
\(706\) | 13.1143 | + | 5.43213i | 0.493564 | + | 0.204441i | ||||
\(707\) | 3.59455 | + | 18.0710i | 0.135187 | + | 0.679630i | ||||
\(708\) | 4.21092 | + | 2.81365i | 0.158256 | + | 0.105743i | ||||
\(709\) | 2.56004 | + | 3.83137i | 0.0961444 | + | 0.143890i | 0.876423 | − | 0.481541i | \(-0.159923\pi\) |
−0.780279 | + | 0.625432i | \(0.784923\pi\) | |||||||
\(710\) | 12.9502 | + | 11.3734i | 0.486011 | + | 0.426834i | ||||
\(711\) | −0.231929 | + | 1.16599i | −0.00869804 | + | 0.0437280i | ||||
\(712\) | −2.74625 | + | 6.63003i | −0.102920 | + | 0.248471i | ||||
\(713\) | 0.0200723 | + | 0.0200723i | 0.000751715 | + | 0.000751715i | ||||
\(714\) | −35.5792 | − | 4.26979i | −1.33152 | − | 0.159793i | ||||
\(715\) | 2.32576 | + | 35.8767i | 0.0869784 | + | 1.34171i | ||||
\(716\) | −10.4305 | + | 4.32045i | −0.389806 | + | 0.161463i | ||||
\(717\) | 2.20728 | + | 3.30343i | 0.0824326 | + | 0.123369i | ||||
\(718\) | 6.54545i | 0.244274i | ||||||||
\(719\) | −14.4691 | + | 9.66796i | −0.539607 | + | 0.360554i | −0.795311 | − | 0.606201i | \(-0.792693\pi\) |
0.255704 | + | 0.966755i | \(0.417693\pi\) | |||||||
\(720\) | −0.238448 | − | 0.137895i | −0.00888645 | − | 0.00513906i | ||||
\(721\) | −29.3207 | + | 43.8815i | −1.09196 | + | 1.63423i | ||||
\(722\) | 16.9952 | − | 7.03963i | 0.632495 | − | 0.261988i | ||||
\(723\) | 21.6964 | − | 8.98693i | 0.806897 | − | 0.334228i | ||||
\(724\) | 12.1553 | − | 18.1917i | 0.451749 | − | 0.676090i | ||||
\(725\) | −5.12933 | − | 15.1817i | −0.190499 | − | 0.563835i | ||||
\(726\) | −21.5068 | + | 14.3704i | −0.798193 | + | 0.533335i | ||||
\(727\) | − | 12.9759i | − | 0.481250i | −0.970618 | − | 0.240625i | \(-0.922648\pi\) | ||
0.970618 | − | 0.240625i | \(-0.0773525\pi\) | |||||||
\(728\) | 8.93372 | + | 13.3703i | 0.331106 | + | 0.495535i | ||||
\(729\) | −25.8832 | + | 10.7212i | −0.958636 | + | 0.397080i | ||||
\(730\) | 12.0513 | + | 10.5840i | 0.446039 | + | 0.391730i | ||||
\(731\) | 11.3387 | + | 1.36073i | 0.419377 | + | 0.0503286i | ||||
\(732\) | −11.8320 | − | 11.8320i | −0.437323 | − | 0.437323i | ||||
\(733\) | 14.4507 | − | 34.8870i | 0.533747 | − | 1.28858i | −0.395277 | − | 0.918562i | \(-0.629352\pi\) |
0.929025 | − | 0.370018i | \(-0.120648\pi\) | |||||||
\(734\) | 3.94067 | − | 19.8111i | 0.145453 | − | 0.731240i | ||||
\(735\) | 48.1939 | − | 54.8755i | 1.77766 | − | 2.02411i | ||||
\(736\) | 0.327245 | + | 0.489757i | 0.0120624 | + | 0.0180527i | ||||
\(737\) | 42.6115 | + | 28.4721i | 1.56962 | + | 1.04878i | ||||
\(738\) | 0.0334956 | + | 0.168394i | 0.00123299 | + | 0.00619866i | ||||
\(739\) | 29.1539 | + | 12.0760i | 1.07244 | + | 0.444221i | 0.847853 | − | 0.530232i | \(-0.177895\pi\) |
0.224592 | + | 0.974453i | \(0.427895\pi\) | |||||||
\(740\) | 1.58697 | − | 4.66413i | 0.0583383 | − | 0.171457i | ||||
\(741\) | 3.44109 | + | 2.29926i | 0.126412 | + | 0.0844656i | ||||
\(742\) | 32.9621 | − | 49.3313i | 1.21008 | − | 1.81101i | ||||
\(743\) | −1.43793 | + | 7.22896i | −0.0527525 | + | 0.265205i | −0.998156 | − | 0.0606967i | \(-0.980668\pi\) |
0.945404 | + | 0.325901i | \(0.105668\pi\) | |||||||
\(744\) | −0.0577989 | + | 0.0577989i | −0.00211901 | + | 0.00211901i | ||||
\(745\) | −13.3946 | + | 10.2628i | −0.490739 | + | 0.376001i | ||||
\(746\) | 6.08087 | + | 14.6805i | 0.222637 | + | 0.537492i | ||||
\(747\) | 1.47713 | − | 1.47713i | 0.0540453 | − | 0.0540453i | ||||
\(748\) | 18.8378 | − | 9.55977i | 0.688779 | − | 0.349540i | ||||
\(749\) | 65.7927i | 2.40401i | ||||||||
\(750\) | 18.5908 | + | 3.73936i | 0.678841 | + | 0.136542i | ||||
\(751\) | 1.29792 | + | 0.258172i | 0.0473617 | + | 0.00942082i | 0.218714 | − | 0.975789i | \(-0.429814\pi\) |
−0.171353 | + | 0.985210i | \(0.554814\pi\) | |||||||
\(752\) | −1.90169 | −0.0693473 | ||||||||
\(753\) | −2.30368 | − | 0.458229i | −0.0839506 | − | 0.0166988i | ||||
\(754\) | 1.96214 | + | 9.86437i | 0.0714571 | + | 0.359239i | ||||
\(755\) | 3.15152 | + | 11.7953i | 0.114696 | + | 0.429276i | ||||
\(756\) | 10.3876 | − | 25.0778i | 0.377793 | − | 0.912072i | ||||
\(757\) | −15.1337 | − | 36.5360i | −0.550044 | − | 1.32792i | −0.917446 | − | 0.397861i | \(-0.869753\pi\) |
0.367402 | − | 0.930062i | \(-0.380247\pi\) | |||||||
\(758\) | −17.2190 | + | 3.42507i | −0.625422 | + | 0.124404i | ||||
\(759\) | −5.02031 | + | 0.998601i | −0.182226 | + | 0.0362469i | ||||
\(760\) | 1.38010 | − | 1.05742i | 0.0500615 | − | 0.0383568i | ||||
\(761\) | 17.9513 | + | 17.9513i | 0.650734 | + | 0.650734i | 0.953170 | − | 0.302436i | \(-0.0977998\pi\) |
−0.302436 | + | 0.953170i | \(0.597800\pi\) | |||||||
\(762\) | −1.93529 | + | 1.29312i | −0.0701083 | + | 0.0468449i | ||||
\(763\) | 8.70385 | + | 3.60525i | 0.315101 | + | 0.130519i | ||||
\(764\) | −16.5094 | −0.597287 | ||||||||
\(765\) | −0.977393 | + | 0.578394i | −0.0353377 | + | 0.0209119i | ||||
\(766\) | 35.1358 | 1.26951 | ||||||||
\(767\) | −8.65689 | − | 3.58580i | −0.312582 | − | 0.129476i | ||||
\(768\) | −1.41027 | + | 0.942312i | −0.0508887 | + | 0.0340028i | ||||
\(769\) | −7.86109 | − | 7.86109i | −0.283478 | − | 0.283478i | 0.551016 | − | 0.834494i | \(-0.314240\pi\) |
−0.834494 | + | 0.551016i | \(0.814240\pi\) | |||||||
\(770\) | −7.70404 | + | 58.1969i | −0.277634 | + | 2.09727i | ||||
\(771\) | 32.4933 | − | 6.46332i | 1.17022 | − | 0.232771i | ||||
\(772\) | 3.42621 | − | 0.681515i | 0.123312 | − | 0.0245283i | ||||
\(773\) | −11.6628 | − | 28.1566i | −0.419483 | − | 1.01272i | −0.982498 | − | 0.186274i | \(-0.940359\pi\) |
0.563015 | − | 0.826447i | \(-0.309641\pi\) | |||||||
\(774\) | −0.130569 | + | 0.315222i | −0.00469322 | + | 0.0113304i | ||||
\(775\) | −0.106883 | + | 0.215960i | −0.00383936 | + | 0.00775751i | ||||
\(776\) | 0.353366 | + | 1.77649i | 0.0126851 | + | 0.0637723i | ||||
\(777\) | 18.7812 | + | 3.73582i | 0.673773 | + | 0.134022i | ||||
\(778\) | 8.41967 | 0.301860 | ||||||||
\(779\) | −1.06289 | − | 0.211423i | −0.0380821 | − | 0.00757500i | ||||
\(780\) | −11.2675 | − | 3.83376i | −0.403440 | − | 0.137271i | ||||
\(781\) | − | 39.4914i | − | 1.41311i | ||||||
\(782\) | 2.42144 | − | 0.186607i | 0.0865904 | − | 0.00667307i | ||||
\(783\) | 12.0050 | − | 12.0050i | 0.429023 | − | 0.429023i | ||||
\(784\) | 7.36927 | + | 17.7910i | 0.263188 | + | 0.635392i | ||||
\(785\) | 6.24856 | + | 0.827178i | 0.223021 | + | 0.0295232i | ||||
\(786\) | 0.802346 | − | 0.802346i | 0.0286188 | − | 0.0286188i | ||||
\(787\) | 5.92625 | − | 29.7933i | 0.211248 | − | 1.06202i | −0.718979 | − | 0.695032i | \(-0.755390\pi\) |
0.930227 | − | 0.366984i | \(-0.119610\pi\) | |||||||
\(788\) | 2.77492 | − | 4.15296i | 0.0988524 | − | 0.147943i | ||||
\(789\) | 17.8766 | + | 11.9447i | 0.636422 | + | 0.425244i | ||||
\(790\) | 20.4296 | + | 6.95119i | 0.726852 | + | 0.247312i | ||||
\(791\) | −44.5830 | − | 18.4669i | −1.58519 | − | 0.656607i | ||||
\(792\) | 0.123129 | + | 0.619010i | 0.00437519 | + | 0.0219956i | ||||
\(793\) | 25.7416 | + | 17.2000i | 0.914111 | + | 0.610790i | ||||
\(794\) | −5.78289 | − | 8.65471i | −0.205227 | − | 0.307144i | ||||
\(795\) | 2.84078 | + | 43.8213i | 0.100752 | + | 1.55418i | ||||
\(796\) | −2.29091 | + | 11.5172i | −0.0811991 | + | 0.408215i | ||||
\(797\) | −13.7628 | + | 33.2263i | −0.487503 | + | 1.17694i | 0.468469 | + | 0.883480i | \(0.344806\pi\) |
−0.955972 | + | 0.293457i | \(0.905194\pi\) | |||||||
\(798\) | 4.77841 | + | 4.77841i | 0.169154 | + | 0.169154i | ||||
\(799\) | −3.84233 | + | 6.83487i | −0.135932 | + | 0.241800i | ||||
\(800\) | −3.04947 | + | 3.96242i | −0.107815 | + | 0.140093i | ||||
\(801\) | −0.816720 | + | 0.338297i | −0.0288574 | + | 0.0119531i | ||||
\(802\) | −9.08260 | − | 13.5931i | −0.320718 | − | 0.479988i | ||||
\(803\) | − | 36.7504i | − | 1.29689i | ||||||
\(804\) | −14.1064 | + | 9.42562i | −0.497496 | + | 0.332416i | ||||
\(805\) | −3.37868 | + | 5.84241i | −0.119083 | + | 0.205918i | ||||
\(806\) | 0.0840214 | − | 0.125747i | 0.00295953 | − | 0.00442924i | ||||
\(807\) | −5.51987 | + | 2.28641i | −0.194309 | + | 0.0804853i | ||||
\(808\) | 3.32202 | − | 1.37603i | 0.116868 | − | 0.0484085i | ||||
\(809\) | −14.4830 | + | 21.6754i | −0.509196 | + | 0.762066i | −0.993621 | − | 0.112767i | \(-0.964029\pi\) |
0.484425 | + | 0.874833i | \(0.339029\pi\) | |||||||
\(810\) | 4.97269 | + | 18.6115i | 0.174722 | + | 0.653940i | ||||
\(811\) | 37.1784 | − | 24.8418i | 1.30551 | − | 0.872315i | 0.308626 | − | 0.951183i | \(-0.400131\pi\) |
0.996885 | + | 0.0788687i | \(0.0251308\pi\) | |||||||
\(812\) | 16.4227i | 0.576323i | ||||||||
\(813\) | 15.7294 | + | 23.5407i | 0.551653 | + | 0.825608i | ||||
\(814\) | −10.4293 | + | 4.31995i | −0.365546 | + | 0.151414i | ||||
\(815\) | −33.6220 | + | 2.17959i | −1.17773 | + | 0.0763478i | ||||
\(816\) | 0.537342 | + | 6.97260i | 0.0188107 | + | 0.244090i | ||||
\(817\) | −1.52283 | − | 1.52283i | −0.0532769 | − | 0.0532769i | ||||
\(818\) | 2.24930 | − | 5.43029i | 0.0786449 | − | 0.189865i | ||||
\(819\) | −0.386444 | + | 1.94279i | −0.0135035 | + | 0.0678865i | ||||
\(820\) | 3.11006 | − | 0.201614i | 0.108608 | − | 0.00704066i | ||||
\(821\) | 19.4027 | + | 29.0382i | 0.677160 | + | 1.01344i | 0.997804 | + | 0.0662415i | \(0.0211008\pi\) |
−0.320644 | + | 0.947200i | \(0.603899\pi\) | |||||||
\(822\) | −26.6448 | − | 17.8035i | −0.929343 | − | 0.620967i | ||||
\(823\) | −4.91166 | − | 24.6926i | −0.171210 | − | 0.860729i | −0.966925 | − | 0.255059i | \(-0.917905\pi\) |
0.795716 | − | 0.605670i | \(-0.207095\pi\) | |||||||
\(824\) | 9.51544 | + | 3.94143i | 0.331486 | + | 0.137306i | ||||
\(825\) | −21.6713 | − | 37.6600i | −0.754499 | − | 1.31115i | ||||
\(826\) | −12.7216 | − | 8.50031i | −0.442641 | − | 0.295763i | ||||
\(827\) | −12.4114 | + | 18.5750i | −0.431587 | + | 0.645915i | −0.981979 | − | 0.188991i | \(-0.939478\pi\) |
0.550392 | + | 0.834906i | \(0.314478\pi\) | |||||||
\(828\) | −0.0141556 | + | 0.0711650i | −0.000491941 | + | 0.00247315i | ||||
\(829\) | −27.4675 | + | 27.4675i | −0.953985 | + | 0.953985i | −0.998987 | − | 0.0450021i | \(-0.985671\pi\) |
0.0450021 | + | 0.998987i | \(0.485671\pi\) | |||||||
\(830\) | −23.0623 | − | 30.0998i | −0.800504 | − | 1.04478i | ||||
\(831\) | 19.6020 | + | 47.3234i | 0.679986 | + | 1.64163i | ||||
\(832\) | 2.21900 | − | 2.21900i | 0.0769300 | − | 0.0769300i | ||||
\(833\) | 78.8323 | + | 9.46051i | 2.73138 | + | 0.327787i | ||||
\(834\) | − | 22.6681i | − | 0.784934i | ||||||
\(835\) | −41.9943 | + | 20.6721i | −1.45327 | + | 0.715386i | ||||
\(836\) | −3.90716 | − | 0.777183i | −0.135132 | − | 0.0268794i | ||||
\(837\) | −0.255289 | −0.00882408 | ||||||||
\(838\) | −21.6750 | − | 4.31142i | −0.748749 | − | 0.148935i | ||||
\(839\) | −1.56230 | − | 7.85419i | −0.0539364 | − | 0.271157i | 0.944401 | − | 0.328796i | \(-0.106643\pi\) |
−0.998337 | + | 0.0576390i | \(0.981643\pi\) | |||||||
\(840\) | −16.8234 | − | 9.72901i | −0.580462 | − | 0.335683i | ||||
\(841\) | 7.16698 | − | 17.3026i | 0.247137 | − | 0.596642i | ||||
\(842\) | −6.34939 | − | 15.3288i | −0.218814 | − | 0.528265i | ||||
\(843\) | −17.9163 | + | 3.56377i | −0.617069 | + | 0.122743i | ||||
\(844\) | −11.0895 | + | 2.20584i | −0.381717 | + | 0.0759281i | ||||
\(845\) | −6.98731 | − | 0.924972i | −0.240371 | − | 0.0318200i | ||||
\(846\) | −0.165646 | − | 0.165646i | −0.00569503 | − | 0.00569503i | ||||
\(847\) | 64.9742 | − | 43.4144i | 2.23254 | − | 1.49174i | ||||
\(848\) | −10.6972 | − | 4.43093i | −0.367344 | − | 0.152159i | ||||
\(849\) | 42.6966 | 1.46534 | ||||||||
\(850\) | 8.07995 | + | 18.9661i | 0.277140 | + | 0.650533i | ||||
\(851\) | −1.29780 | −0.0444880 | ||||||||
\(852\) | 12.0784 | + | 5.00302i | 0.413798 | + | 0.171401i | ||||
\(853\) | 37.7428 | − | 25.2189i | 1.29229 | − | 0.863479i | 0.296488 | − | 0.955037i | \(-0.404185\pi\) |
0.995800 | + | 0.0915575i | \(0.0291845\pi\) | |||||||
\(854\) | 35.7456 | + | 35.7456i | 1.22319 | + | 1.22319i | ||||
\(855\) | 0.212321 | + | 0.0281068i | 0.00726121 | + | 0.000961232i | ||||
\(856\) | 12.5930 | − | 2.50491i | 0.430421 | − | 0.0856161i | ||||
\(857\) | 4.83926 | − | 0.962588i | 0.165306 | − | 0.0328814i | −0.111743 | − | 0.993737i | \(-0.535643\pi\) |
0.277049 | + | 0.960856i | \(0.410643\pi\) | |||||||
\(858\) | 10.4360 | + | 25.1947i | 0.356279 | + | 0.860133i | ||||
\(859\) | 11.9272 | − | 28.7948i | 0.406950 | − | 0.982465i | −0.578985 | − | 0.815338i | \(-0.696551\pi\) |
0.985935 | − | 0.167127i | \(-0.0534489\pi\) | |||||||
\(860\) | 5.36143 | + | 3.10053i | 0.182823 | + | 0.105727i | ||||
\(861\) | 2.36323 | + | 11.8808i | 0.0805388 | + | 0.404896i | ||||
\(862\) | −3.13334 | − | 0.623260i | −0.106722 | − | 0.0212283i | ||||
\(863\) | 34.9690 | 1.19036 | 0.595179 | − | 0.803593i | \(-0.297081\pi\) | ||||
0.595179 | + | 0.803593i | \(0.297081\pi\) | |||||||
\(864\) | −5.19550 | − | 1.03345i | −0.176755 | − | 0.0351587i | ||||
\(865\) | 7.76622 | − | 3.82298i | 0.264059 | − | 0.129985i | ||||
\(866\) | − | 27.8186i | − | 0.945314i | ||||||
\(867\) | 26.1460 | + | 12.1568i | 0.887964 | + | 0.412866i | ||||
\(868\) | 0.174616 | − | 0.174616i | 0.00592686 | − | 0.00592686i | ||||
\(869\) | −18.9220 | − | 45.6818i | −0.641886 | − | 1.54965i | ||||
\(870\) | −7.39276 | − | 9.64869i | −0.250638 | − | 0.327121i | ||||
\(871\) | 22.1959 | − | 22.1959i | 0.752079 | − | 0.752079i | ||||
\(872\) | 0.358683 | − | 1.80322i | 0.0121465 | − | 0.0610648i | ||||
\(873\) | −0.123961 | + | 0.185521i | −0.00419545 | + | 0.00627894i | ||||
\(874\) | −0.380805 | − | 0.254446i | −0.0128809 | − | 0.00860675i | ||||
\(875\) | −56.1648 | − | 11.2970i | −1.89872 | − | 0.381908i | ||||
\(876\) | 11.2400 | + | 4.65578i | 0.379766 | + | 0.157304i | ||||
\(877\) | 1.30382 | + | 6.55474i | 0.0440268 | + | 0.221338i | 0.996535 | − | 0.0831755i | \(-0.0265062\pi\) |
−0.952508 | + | 0.304513i | \(0.901506\pi\) | |||||||
\(878\) | 22.8808 | + | 15.2885i | 0.772191 | + | 0.515962i | ||||
\(879\) | 8.30405 | + | 12.4279i | 0.280089 | + | 0.419182i | ||||
\(880\) | 11.4325 | − | 0.741126i | 0.385389 | − | 0.0249834i | ||||
\(881\) | −7.26090 | + | 36.5030i | −0.244626 | + | 1.22982i | 0.641772 | + | 0.766895i | \(0.278199\pi\) |
−0.886398 | + | 0.462923i | \(0.846801\pi\) | |||||||
\(882\) | −0.907784 | + | 2.19158i | −0.0305667 | + | 0.0737945i | ||||
\(883\) | 37.2787 | + | 37.2787i | 1.25453 | + | 1.25453i | 0.953668 | + | 0.300862i | \(0.0972744\pi\) |
0.300862 | + | 0.953668i | \(0.402726\pi\) | |||||||
\(884\) | −3.49187 | − | 12.4588i | −0.117444 | − | 0.419035i | ||||
\(885\) | 11.3007 | − | 0.732583i | 0.379868 | − | 0.0246255i | ||||
\(886\) | −9.95910 | + | 4.12519i | −0.334582 | + | 0.138589i | ||||
\(887\) | −28.8551 | − | 43.1846i | −0.968858 | − | 1.45000i | −0.891514 | − | 0.452994i | \(-0.850356\pi\) |
−0.0773445 | − | 0.997004i | \(-0.524644\pi\) | |||||||
\(888\) | − | 3.73705i | − | 0.125407i | ||||||
\(889\) | 5.84672 | − | 3.90665i | 0.196093 | − | 0.131025i | ||||
\(890\) | 4.14212 | + | 15.5029i | 0.138844 | + | 0.519657i | ||||
\(891\) | 24.5230 | − | 36.7013i | 0.821552 | − | 1.22954i | ||||
\(892\) | 11.2085 | − | 4.64271i | 0.375288 | − | 0.155450i | ||||
\(893\) | 1.36608 | − | 0.565848i | 0.0457141 | − | 0.0189354i | ||||
\(894\) | −7.11106 | + | 10.6425i | −0.237830 | + | 0.355937i | ||||
\(895\) | −12.6381 | + | 21.8537i | −0.422444 | + | 0.730490i | ||||
\(896\) | 4.26057 | − | 2.84682i | 0.142336 | − | 0.0951056i | ||||
\(897\) | 3.13518i | 0.104681i | ||||||||
\(898\) | −9.20944 | − | 13.7829i | −0.307323 | − | 0.459942i | ||||
\(899\) | 0.142698 | − | 0.0591073i | 0.00475923 | − | 0.00197134i | ||||
\(900\) | −0.610770 | + | 0.0795223i | −0.0203590 | + | 0.00265074i | ||||
\(901\) | −37.5388 | + | 29.4943i | −1.25060 | + | 0.982598i | ||||
\(902\) | −5.04946 | − | 5.04946i | −0.168129 | − | 0.168129i | ||||
\(903\) | −9.21214 | + | 22.2401i | −0.306561 | + | 0.740103i | ||||
\(904\) | −1.83725 | + | 9.23648i | −0.0611061 | + | 0.307201i | ||||
\(905\) | −3.16486 | − | 48.8205i | −0.105203 | − | 1.62285i | ||||
\(906\) | 5.14509 | + | 7.70017i | 0.170934 | + | 0.255821i | ||||
\(907\) | −6.56049 | − | 4.38358i | −0.217837 | − | 0.145554i | 0.441864 | − | 0.897082i | \(-0.354317\pi\) |
−0.659702 | + | 0.751528i | \(0.729317\pi\) | |||||||
\(908\) | −1.28763 | − | 6.47334i | −0.0427314 | − | 0.214825i | ||||
\(909\) | 0.409224 | + | 0.169506i | 0.0135731 | + | 0.00562216i | ||||
\(910\) | 34.0401 | + | 11.5822i | 1.12842 | + | 0.383945i | ||||
\(911\) | −4.98293 | − | 3.32949i | −0.165092 | − | 0.110311i | 0.470280 | − | 0.882517i | \(-0.344153\pi\) |
−0.635372 | + | 0.772207i | \(0.719153\pi\) | |||||||
\(912\) | 0.732684 | − | 1.09654i | 0.0242616 | − | 0.0363100i | ||||
\(913\) | −16.9503 | + | 85.2147i | −0.560972 | + | 2.82020i | ||||
\(914\) | 8.13738 | − | 8.13738i | 0.269161 | − | 0.269161i | ||||
\(915\) | −37.0925 | − | 4.91026i | −1.22624 | − | 0.162328i | ||||
\(916\) | −3.39249 | − | 8.19020i | −0.112091 | − | 0.270612i | ||||
\(917\) | −2.42397 | + | 2.42397i | −0.0800465 | + | 0.0800465i | ||||
\(918\) | −14.2118 | + | 16.5851i | −0.469059 | + | 0.547391i | ||||
\(919\) | − | 39.9956i | − | 1.31933i | −0.751558 | − | 0.659667i | \(-0.770697\pi\) | ||
0.751558 | − | 0.659667i | \(-0.229303\pi\) | |||||||
\(920\) | 1.24690 | + | 0.424259i | 0.0411091 | + | 0.0139874i | ||||
\(921\) | 3.72255 | + | 0.740462i | 0.122662 | + | 0.0243991i | ||||
\(922\) | 6.02105 | 0.198293 | ||||||||
\(923\) | −23.7237 | − | 4.71895i | −0.780876 | − | 0.155326i | ||||
\(924\) | 8.68718 | + | 43.6734i | 0.285787 | + | 1.43675i | ||||
\(925\) | −3.52623 | − | 10.4369i | −0.115942 | − | 0.343163i | ||||
\(926\) | 6.47228 | − | 15.6255i | 0.212692 | − | 0.513484i | ||||
\(927\) | 0.485525 | + | 1.17216i | 0.0159467 | + | 0.0384988i | ||||
\(928\) | 3.14338 | − | 0.625257i | 0.103187 | − | 0.0205251i | ||||
\(929\) | −27.2141 | + | 5.41322i | −0.892865 | + | 0.177602i | −0.620141 | − | 0.784490i | \(-0.712925\pi\) |
−0.272724 | + | 0.962092i | \(0.587925\pi\) | |||||||
\(930\) | −0.0239865 | + | 0.181195i | −0.000786547 | + | 0.00594163i | ||||
\(931\) | −10.5874 | − | 10.5874i | −0.346990 | − | 0.346990i | ||||
\(932\) | 9.07563 | − | 6.06414i | 0.297282 | − | 0.198638i | ||||
\(933\) | −8.74782 | − | 3.62347i | −0.286391 | − | 0.118627i | ||||
\(934\) | 17.5643 | 0.574720 | ||||||||
\(935\) | 20.4355 | − | 42.5870i | 0.668312 | − | 1.39274i | ||||
\(936\) | 0.386572 | 0.0126355 | ||||||||
\(937\) | 16.4981 | + | 6.83373i | 0.538969 | + | 0.223248i | 0.635526 | − | 0.772079i | \(-0.280783\pi\) |
−0.0965573 | + | 0.995327i | \(0.530783\pi\) | |||||||
\(938\) | 42.6170 | − | 28.4757i | 1.39149 | − | 0.929766i | ||||
\(939\) | −36.0871 | − | 36.0871i | −1.17766 | − | 1.17766i | ||||
\(940\) | −3.37542 | + | 2.58623i | −0.110094 | + | 0.0843534i | ||||
\(941\) | 31.6394 | − | 6.29346i | 1.03141 | − | 0.205161i | 0.349763 | − | 0.936838i | \(-0.386262\pi\) |
0.681651 | + | 0.731677i | \(0.261262\pi\) | |||||||
\(942\) | 4.68918 | − | 0.932736i | 0.152782 | − | 0.0303902i | ||||
\(943\) | −0.314173 | − | 0.758480i | −0.0102309 | − | 0.0246995i | ||||
\(944\) | −1.14265 | + | 2.75861i | −0.0371902 | + | 0.0897850i | ||||
\(945\) | −15.6674 | − | 58.6390i | −0.509661 | − | 1.90753i | ||||
\(946\) | −2.76850 | − | 13.9182i | −0.0900119 | − | 0.452520i | ||||
\(947\) | −9.85437 | − | 1.96016i | −0.320224 | − | 0.0636965i | 0.0323611 | − | 0.999476i | \(-0.489697\pi\) |
−0.352585 | + | 0.935780i | \(0.614697\pi\) | |||||||
\(948\) | 16.3689 | 0.531636 | ||||||||
\(949\) | −22.0771 | − | 4.39142i | −0.716654 | − | 0.142551i | ||||
\(950\) | 1.01157 | − | 3.75378i | 0.0328197 | − | 0.121789i | ||||
\(951\) | − | 18.3497i | − | 0.595029i | ||||||
\(952\) | −1.62336 | − | 21.0649i | −0.0526135 | − | 0.682718i | ||||
\(953\) | −21.5576 | + | 21.5576i | −0.698319 | + | 0.698319i | −0.964048 | − | 0.265729i | \(-0.914387\pi\) |
0.265729 | + | 0.964048i | \(0.414387\pi\) | |||||||
\(954\) | −0.545824 | − | 1.31774i | −0.0176717 | − | 0.0426633i | ||||
\(955\) | −29.3035 | + | 22.4521i | −0.948239 | + | 0.726534i | ||||
\(956\) | −1.65634 | + | 1.65634i | −0.0535697 | + | 0.0535697i | ||||
\(957\) | −5.43351 | + | 27.3161i | −0.175640 | + | 0.883004i | ||||
\(958\) | 2.47087 | − | 3.69792i | 0.0798302 | − | 0.119474i | ||||
\(959\) | 80.4965 | + | 53.7860i | 2.59937 | + | 1.73684i | ||||
\(960\) | −1.22167 | + | 3.59049i | −0.0394291 | + | 0.115883i | ||||
\(961\) | 28.6381 | + | 11.8623i | 0.923810 | + | 0.382655i | ||||
\(962\) | 1.34890 | + | 6.78140i | 0.0434904 | + | 0.218641i | ||||
\(963\) | 1.31511 | + | 0.878726i | 0.0423787 | + | 0.0283166i | ||||
\(964\) | 7.69227 | + | 11.5123i | 0.247751 | + | 0.370786i | ||||
\(965\) | 5.15456 | − | 5.86919i | 0.165931 | − | 0.188936i | ||||
\(966\) | −0.998728 | + | 5.02095i | −0.0321336 | + | 0.161546i | ||||
\(967\) | −12.6513 | + | 30.5429i | −0.406838 | + | 0.982195i | 0.579126 | + | 0.815238i | \(0.303394\pi\) |
−0.985964 | + | 0.166957i | \(0.946606\pi\) | |||||||
\(968\) | −10.7835 | − | 10.7835i | −0.346594 | − | 0.346594i | ||||
\(969\) | −2.46070 | − | 4.84889i | −0.0790492 | − | 0.155769i | ||||
\(970\) | 3.04318 | + | 2.67264i | 0.0977105 | + | 0.0858133i | ||||
\(971\) | −36.3711 | + | 15.0654i | −1.16720 | + | 0.483472i | −0.880267 | − | 0.474478i | \(-0.842637\pi\) |
−0.286936 | + | 0.957950i | \(0.592637\pi\) | |||||||
\(972\) | −0.710772 | − | 1.06375i | −0.0227980 | − | 0.0341196i | ||||
\(973\) | 68.4827i | 2.19546i | ||||||||
\(974\) | −8.04454 | + | 5.37519i | −0.257764 | + | 0.172232i | ||||
\(975\) | −25.2131 | + | 8.51856i | −0.807465 | + | 0.272812i | ||||
\(976\) | 5.48095 | − | 8.20282i | 0.175441 | − | 0.262566i | ||||
\(977\) | 17.0533 | − | 7.06371i | 0.545583 | − | 0.225988i | −0.0928297 | − | 0.995682i | \(-0.529591\pi\) |
0.638413 | + | 0.769694i | \(0.279591\pi\) | |||||||
\(978\) | −23.6113 | + | 9.78012i | −0.755006 | + | 0.312734i | ||||
\(979\) | 20.4270 | − | 30.5712i | 0.652850 | − | 0.977059i | ||||
\(980\) | 37.2753 | + | 21.5564i | 1.19072 | + | 0.688594i | ||||
\(981\) | 0.188313 | − | 0.125826i | 0.00601236 | − | 0.00401733i | ||||
\(982\) | 38.2826i | 1.22165i | ||||||||
\(983\) | −19.6290 | − | 29.3769i | −0.626068 | − | 0.936977i | −0.999955 | − | 0.00950260i | \(-0.996975\pi\) |
0.373887 | − | 0.927474i | \(-0.378025\pi\) | |||||||
\(984\) | 2.18406 | − | 0.904669i | 0.0696254 | − | 0.0288398i | ||||
\(985\) | −0.722500 | − | 11.1451i | −0.0230208 | − | 0.355114i | ||||
\(986\) | 4.10392 | − | 12.5610i | 0.130695 | − | 0.400023i | ||||
\(987\) | −11.6869 | − | 11.6869i | −0.371999 | − | 0.371999i | ||||
\(988\) | −0.933756 | + | 2.25429i | −0.0297067 | + | 0.0717184i | ||||
\(989\) | 0.318283 | − | 1.60012i | 0.0101208 | − | 0.0508808i | ||||
\(990\) | 1.06038 | + | 0.931269i | 0.0337011 | + | 0.0295977i | ||||
\(991\) | −27.8623 | − | 41.6989i | −0.885075 | − | 1.32461i | −0.945225 | − | 0.326419i | \(-0.894158\pi\) |
0.0601504 | − | 0.998189i | \(-0.480842\pi\) | |||||||
\(992\) | −0.0400705 | − | 0.0267743i | −0.00127224 | − | 0.000850084i | ||||
\(993\) | −6.98249 | − | 35.1034i | −0.221583 | − | 1.11397i | ||||
\(994\) | −36.4900 | − | 15.1146i | −1.15739 | − | 0.479407i | ||||
\(995\) | 11.5967 | + | 23.5581i | 0.367639 | + | 0.746843i | ||||
\(996\) | −23.9154 | − | 15.9797i | −0.757788 | − | 0.506338i | ||||
\(997\) | 1.51379 | − | 2.26555i | 0.0479422 | − | 0.0717506i | −0.806724 | − | 0.590928i | \(-0.798762\pi\) |
0.854666 | + | 0.519178i | \(0.173762\pi\) | |||||||
\(998\) | 0.578259 | − | 2.90710i | 0.0183045 | − | 0.0920228i | ||||
\(999\) | 8.25300 | − | 8.25300i | 0.261113 | − | 0.261113i |
(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 | 170.2.r.b.37.4 | yes | 40 | |
5.2 | odd | 4 | 850.2.s.d.343.2 | 40 | |||
5.3 | odd | 4 | 170.2.o.b.3.4 | ✓ | 40 | ||
5.4 | even | 2 | 850.2.v.d.207.2 | 40 | |||
17.6 | odd | 16 | 170.2.o.b.57.4 | yes | 40 | ||
85.23 | even | 16 | inner | 170.2.r.b.23.4 | yes | 40 | |
85.57 | even | 16 | 850.2.v.d.193.2 | 40 | |||
85.74 | odd | 16 | 850.2.s.d.57.2 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
170.2.o.b.3.4 | ✓ | 40 | 5.3 | odd | 4 | ||
170.2.o.b.57.4 | yes | 40 | 17.6 | odd | 16 | ||
170.2.r.b.23.4 | yes | 40 | 85.23 | even | 16 | inner | |
170.2.r.b.37.4 | yes | 40 | 1.1 | even | 1 | trivial | |
850.2.s.d.57.2 | 40 | 85.74 | odd | 16 | |||
850.2.s.d.343.2 | 40 | 5.2 | odd | 4 | |||
850.2.v.d.193.2 | 40 | 85.57 | even | 16 | |||
850.2.v.d.207.2 | 40 | 5.4 | even | 2 |