Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(3,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.x (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 108.17 | ||
Character | \(\chi\) | \(=\) | 175.108 |
Dual form | 175.2.x.a.47.17 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.126421 | + | 2.41226i | 0.0893931 | + | 1.70572i | 0.564205 | + | 0.825635i | \(0.309183\pi\) |
−0.474812 | + | 0.880087i | \(0.657484\pi\) | |||||||
\(3\) | 0.433801 | + | 0.351285i | 0.250455 | + | 0.202815i | 0.746324 | − | 0.665583i | \(-0.231817\pi\) |
−0.495869 | + | 0.868397i | \(0.665150\pi\) | |||||||
\(4\) | −3.81395 | + | 0.400862i | −1.90698 | + | 0.200431i | ||||
\(5\) | 1.33919 | + | 1.79069i | 0.598904 | + | 0.800821i | ||||
\(6\) | −0.792548 | + | 1.09085i | −0.323557 | + | 0.445337i | ||||
\(7\) | 2.23919 | + | 1.40926i | 0.846335 | + | 0.532650i | ||||
\(8\) | −0.693391 | − | 4.37790i | −0.245151 | − | 1.54782i | ||||
\(9\) | −0.558953 | − | 2.62967i | −0.186318 | − | 0.876556i | ||||
\(10\) | −4.15030 | + | 3.45685i | −1.31244 | + | 1.09315i | ||||
\(11\) | −1.43005 | − | 0.303966i | −0.431175 | − | 0.0916492i | −0.0127889 | − | 0.999918i | \(-0.504071\pi\) |
−0.418387 | + | 0.908269i | \(0.637404\pi\) | |||||||
\(12\) | −1.79531 | − | 1.16589i | −0.518262 | − | 0.336564i | ||||
\(13\) | −2.47105 | − | 4.84971i | −0.685346 | − | 1.34507i | −0.927131 | − | 0.374737i | \(-0.877733\pi\) |
0.241785 | − | 0.970330i | \(-0.422267\pi\) | |||||||
\(14\) | −3.11642 | + | 5.57967i | −0.832897 | + | 1.49123i | ||||
\(15\) | −0.0481002 | + | 1.24724i | −0.0124194 | + | 0.322036i | ||||
\(16\) | 2.97063 | − | 0.631428i | 0.742658 | − | 0.157857i | ||||
\(17\) | 0.526954 | + | 0.202279i | 0.127805 | + | 0.0490598i | 0.421430 | − | 0.906861i | \(-0.361528\pi\) |
−0.293625 | + | 0.955921i | \(0.594862\pi\) | |||||||
\(18\) | 6.27277 | − | 1.68078i | 1.47851 | − | 0.396164i | ||||
\(19\) | −0.200389 | + | 1.90657i | −0.0459724 | + | 0.437398i | 0.947191 | + | 0.320669i | \(0.103908\pi\) |
−0.993164 | + | 0.116729i | \(0.962759\pi\) | |||||||
\(20\) | −5.82543 | − | 6.29277i | −1.30261 | − | 1.40711i | ||||
\(21\) | 0.476312 | + | 1.39793i | 0.103940 | + | 0.305054i | ||||
\(22\) | 0.552456 | − | 3.48807i | 0.117784 | − | 0.743658i | ||||
\(23\) | 9.15813 | − | 0.479957i | 1.90960 | − | 0.100078i | 0.939466 | − | 0.342641i | \(-0.111321\pi\) |
0.970136 | + | 0.242563i | \(0.0779881\pi\) | |||||||
\(24\) | 1.23710 | − | 2.14271i | 0.252521 | − | 0.437380i | ||||
\(25\) | −1.41314 | + | 4.79615i | −0.282627 | + | 0.959230i | ||||
\(26\) | 11.3863 | − | 6.57391i | 2.23305 | − | 1.28925i | ||||
\(27\) | 1.44154 | − | 2.82918i | 0.277424 | − | 0.544476i | ||||
\(28\) | −9.10509 | − | 4.47724i | −1.72070 | − | 0.846119i | ||||
\(29\) | 2.15609 | + | 2.96760i | 0.400376 | + | 0.551070i | 0.960838 | − | 0.277110i | \(-0.0893765\pi\) |
−0.560462 | + | 0.828180i | \(0.689377\pi\) | |||||||
\(30\) | −3.01475 | + | 0.0416474i | −0.550415 | + | 0.00760373i | ||||
\(31\) | −1.68797 | − | 3.79124i | −0.303168 | − | 0.680927i | 0.696148 | − | 0.717898i | \(-0.254896\pi\) |
−0.999316 | + | 0.0369713i | \(0.988229\pi\) | |||||||
\(32\) | −0.395699 | − | 1.47677i | −0.0699503 | − | 0.261058i | ||||
\(33\) | −0.513577 | − | 0.634215i | −0.0894024 | − | 0.110403i | ||||
\(34\) | −0.421330 | + | 1.29672i | −0.0722575 | + | 0.222386i | ||||
\(35\) | 0.475160 | + | 5.89697i | 0.0803166 | + | 0.996769i | ||||
\(36\) | 3.18595 | + | 9.80536i | 0.530992 | + | 1.63423i | ||||
\(37\) | −3.86721 | + | 5.95499i | −0.635766 | + | 0.978994i | 0.363117 | + | 0.931743i | \(0.381712\pi\) |
−0.998883 | + | 0.0472501i | \(0.984954\pi\) | |||||||
\(38\) | −4.62448 | − | 0.242359i | −0.750189 | − | 0.0393157i | ||||
\(39\) | 0.631687 | − | 2.97185i | 0.101151 | − | 0.475877i | ||||
\(40\) | 6.91087 | − | 7.10449i | 1.09270 | − | 1.12332i | ||||
\(41\) | 4.45269 | + | 1.44677i | 0.695393 | + | 0.225947i | 0.635322 | − | 0.772247i | \(-0.280867\pi\) |
0.0600711 | + | 0.998194i | \(0.480867\pi\) | |||||||
\(42\) | −3.31196 | + | 1.32572i | −0.511046 | + | 0.204562i | ||||
\(43\) | 0.695019 | + | 0.695019i | 0.105989 | + | 0.105989i | 0.758113 | − | 0.652123i | \(-0.226122\pi\) |
−0.652123 | + | 0.758113i | \(0.726122\pi\) | |||||||
\(44\) | 5.57598 | + | 0.586059i | 0.840611 | + | 0.0883517i | ||||
\(45\) | 3.96037 | − | 4.52254i | 0.590377 | − | 0.674180i | ||||
\(46\) | 2.31556 | + | 22.0311i | 0.341411 | + | 3.24830i | ||||
\(47\) | −4.24108 | − | 11.0484i | −0.618626 | − | 1.61157i | −0.780778 | − | 0.624809i | \(-0.785177\pi\) |
0.162152 | − | 0.986766i | \(-0.448156\pi\) | |||||||
\(48\) | 1.51048 | + | 0.769626i | 0.218018 | + | 0.111086i | ||||
\(49\) | 3.02797 | + | 6.31121i | 0.432567 | + | 0.901602i | ||||
\(50\) | −11.7482 | − | 2.80251i | −1.66144 | − | 0.396335i | ||||
\(51\) | 0.157536 | + | 0.272860i | 0.0220594 | + | 0.0382081i | ||||
\(52\) | 11.3685 | + | 17.5060i | 1.57653 | + | 2.42765i | ||||
\(53\) | −1.50412 | + | 1.85743i | −0.206606 | + | 0.255137i | −0.869907 | − | 0.493215i | \(-0.835822\pi\) |
0.663301 | + | 0.748353i | \(0.269155\pi\) | |||||||
\(54\) | 7.00694 | + | 3.11969i | 0.953524 | + | 0.424536i | ||||
\(55\) | −1.37080 | − | 2.96784i | −0.184838 | − | 0.400183i | ||||
\(56\) | 4.61696 | − | 10.7801i | 0.616967 | − | 1.44055i | ||||
\(57\) | −0.756680 | + | 0.756680i | −0.100225 | + | 0.100225i | ||||
\(58\) | −6.88605 | + | 5.57621i | −0.904182 | + | 0.732192i | ||||
\(59\) | −0.683238 | − | 0.758813i | −0.0889500 | − | 0.0987890i | 0.697026 | − | 0.717045i | \(-0.254506\pi\) |
−0.785976 | + | 0.618256i | \(0.787839\pi\) | |||||||
\(60\) | −0.316520 | − | 4.77620i | −0.0408626 | − | 0.616605i | ||||
\(61\) | −7.98371 | − | 7.18856i | −1.02221 | − | 0.920401i | −0.0253562 | − | 0.999678i | \(-0.508072\pi\) |
−0.996853 | + | 0.0792776i | \(0.974739\pi\) | |||||||
\(62\) | 8.93205 | − | 4.55111i | 1.13437 | − | 0.577991i | ||||
\(63\) | 2.45428 | − | 6.67604i | 0.309210 | − | 0.841102i | ||||
\(64\) | 9.28903 | − | 3.01819i | 1.16113 | − | 0.377274i | ||||
\(65\) | 5.37511 | − | 10.9196i | 0.666701 | − | 1.35441i | ||||
\(66\) | 1.46496 | − | 1.31906i | 0.180324 | − | 0.162365i | ||||
\(67\) | 1.92013 | − | 5.00212i | 0.234582 | − | 0.611106i | −0.764871 | − | 0.644183i | \(-0.777197\pi\) |
0.999453 | + | 0.0330771i | \(0.0105307\pi\) | |||||||
\(68\) | −2.09086 | − | 0.560245i | −0.253555 | − | 0.0679397i | ||||
\(69\) | 4.14141 | + | 3.00891i | 0.498567 | + | 0.362230i | ||||
\(70\) | −14.1649 | + | 1.89171i | −1.69303 | + | 0.226102i | ||||
\(71\) | −3.85505 | + | 2.80086i | −0.457510 | + | 0.332401i | −0.792554 | − | 0.609802i | \(-0.791249\pi\) |
0.335044 | + | 0.942203i | \(0.391249\pi\) | |||||||
\(72\) | −11.1248 | + | 4.27043i | −1.31107 | + | 0.503274i | ||||
\(73\) | −5.13522 | + | 3.33485i | −0.601032 | + | 0.390315i | −0.808989 | − | 0.587823i | \(-0.799985\pi\) |
0.207958 | + | 0.978138i | \(0.433318\pi\) | |||||||
\(74\) | −14.8538 | − | 8.57587i | −1.72672 | − | 0.996925i | ||||
\(75\) | −2.29784 | + | 1.58416i | −0.265331 | + | 0.182923i | ||||
\(76\) | − | 7.35191i | − | 0.843322i | ||||||
\(77\) | −2.77378 | − | 2.69595i | −0.316102 | − | 0.307232i | ||||
\(78\) | 7.24872 | + | 1.14809i | 0.820756 | + | 0.129995i | ||||
\(79\) | 0.415900 | − | 0.934127i | 0.0467924 | − | 0.105098i | −0.888637 | − | 0.458612i | \(-0.848347\pi\) |
0.935429 | + | 0.353514i | \(0.115013\pi\) | |||||||
\(80\) | 5.10894 | + | 4.47388i | 0.571196 | + | 0.500195i | ||||
\(81\) | −5.74878 | + | 2.55952i | −0.638753 | + | 0.284391i | ||||
\(82\) | −2.92706 | + | 10.9239i | −0.323239 | + | 1.20635i | ||||
\(83\) | 9.51656 | − | 1.50728i | 1.04458 | − | 0.165445i | 0.389516 | − | 0.921020i | \(-0.372642\pi\) |
0.655063 | + | 0.755575i | \(0.272642\pi\) | |||||||
\(84\) | −2.37701 | − | 5.14072i | −0.259353 | − | 0.560898i | ||||
\(85\) | 0.343474 | + | 1.21450i | 0.0372550 | + | 0.131731i | ||||
\(86\) | −1.58870 | + | 1.76443i | −0.171314 | + | 0.190263i | ||||
\(87\) | −0.107161 | + | 2.04475i | −0.0114889 | + | 0.219221i | ||||
\(88\) | −0.339150 | + | 6.47137i | −0.0361535 | + | 0.689850i | ||||
\(89\) | −6.07293 | + | 6.74467i | −0.643729 | + | 0.714934i | −0.973387 | − | 0.229167i | \(-0.926400\pi\) |
0.329658 | + | 0.944100i | \(0.393067\pi\) | |||||||
\(90\) | 11.4102 | + | 8.98169i | 1.20274 | + | 0.946753i | ||||
\(91\) | 1.30134 | − | 14.3418i | 0.136418 | − | 1.50343i | ||||
\(92\) | −34.7363 | + | 5.50168i | −3.62151 | + | 0.573590i | ||||
\(93\) | 0.599564 | − | 2.23760i | 0.0621719 | − | 0.232029i | ||||
\(94\) | 26.1154 | − | 11.6273i | 2.69360 | − | 1.19927i | ||||
\(95\) | −3.68244 | + | 2.19443i | −0.377810 | + | 0.225144i | ||||
\(96\) | 0.347112 | − | 0.779627i | 0.0354270 | − | 0.0795703i | ||||
\(97\) | −7.91145 | − | 1.25305i | −0.803287 | − | 0.127228i | −0.258727 | − | 0.965950i | \(-0.583303\pi\) |
−0.544559 | + | 0.838722i | \(0.683303\pi\) | |||||||
\(98\) | −14.8415 | + | 8.10211i | −1.49921 | + | 0.818437i | ||||
\(99\) | 3.93045i | 0.395025i | ||||||||
\(100\) | 3.46704 | − | 18.8588i | 0.346704 | − | 1.88588i | ||||
\(101\) | −12.9778 | − | 7.49271i | −1.29133 | − | 0.745552i | −0.312444 | − | 0.949936i | \(-0.601148\pi\) |
−0.978891 | + | 0.204384i | \(0.934481\pi\) | |||||||
\(102\) | −0.638293 | + | 0.414512i | −0.0632004 | + | 0.0410428i | ||||
\(103\) | 5.00785 | − | 1.92234i | 0.493439 | − | 0.189413i | −0.0989080 | − | 0.995097i | \(-0.531535\pi\) |
0.592347 | + | 0.805683i | \(0.298202\pi\) | |||||||
\(104\) | −19.5181 | + | 14.1807i | −1.91391 | + | 1.39054i | ||||
\(105\) | −1.86539 | + | 2.72503i | −0.182044 | + | 0.265935i | ||||
\(106\) | −4.67074 | − | 3.39349i | −0.453663 | − | 0.329605i | ||||
\(107\) | −3.94277 | − | 1.05646i | −0.381162 | − | 0.102132i | 0.0631501 | − | 0.998004i | \(-0.479885\pi\) |
−0.444312 | + | 0.895872i | \(0.646552\pi\) | |||||||
\(108\) | −4.36385 | + | 11.3682i | −0.419911 | + | 1.09391i | ||||
\(109\) | −3.35422 | + | 3.02015i | −0.321276 | + | 0.289278i | −0.813949 | − | 0.580936i | \(-0.802686\pi\) |
0.492673 | + | 0.870214i | \(0.336020\pi\) | |||||||
\(110\) | 6.98589 | − | 3.68191i | 0.666078 | − | 0.351056i | ||||
\(111\) | −3.76950 | + | 1.22478i | −0.357785 | + | 0.116251i | ||||
\(112\) | 7.54167 | + | 2.77251i | 0.712621 | + | 0.261977i | ||||
\(113\) | 17.1604 | − | 8.74366i | 1.61431 | − | 0.822534i | 0.614889 | − | 0.788613i | \(-0.289201\pi\) |
0.999425 | − | 0.0339207i | \(-0.0107994\pi\) | |||||||
\(114\) | −1.92097 | − | 1.72965i | −0.179915 | − | 0.161996i | ||||
\(115\) | 13.1239 | + | 15.7566i | 1.22381 | + | 1.46931i | ||||
\(116\) | −9.41283 | − | 10.4540i | −0.873959 | − | 0.970630i | ||||
\(117\) | −11.3719 | + | 9.20879i | −1.05133 | + | 0.851353i | ||||
\(118\) | 1.74407 | − | 1.74407i | 0.160555 | − | 0.160555i | ||||
\(119\) | 0.894889 | + | 1.19556i | 0.0820343 | + | 0.109597i | ||||
\(120\) | 5.49365 | − | 0.654248i | 0.501499 | − | 0.0597244i | ||||
\(121\) | −8.09636 | − | 3.60473i | −0.736033 | − | 0.327703i | ||||
\(122\) | 16.3313 | − | 20.1675i | 1.47857 | − | 1.82588i | ||||
\(123\) | 1.42335 | + | 2.19177i | 0.128340 | + | 0.197626i | ||||
\(124\) | 7.95760 | + | 13.7830i | 0.714613 | + | 1.23775i | ||||
\(125\) | −10.4809 | + | 3.89247i | −0.937438 | + | 0.348153i | ||||
\(126\) | 16.4146 | + | 5.07636i | 1.46233 | + | 0.452238i | ||||
\(127\) | 17.6351 | + | 8.98555i | 1.56487 | + | 0.797339i | 0.999619 | − | 0.0275839i | \(-0.00878134\pi\) |
0.565246 | + | 0.824923i | \(0.308781\pi\) | |||||||
\(128\) | 7.35918 | + | 19.1713i | 0.650466 | + | 1.69452i | ||||
\(129\) | 0.0573501 | + | 0.545650i | 0.00504940 | + | 0.0480418i | ||||
\(130\) | 27.0203 | + | 11.5857i | 2.36984 | + | 1.01613i | ||||
\(131\) | −7.69328 | − | 0.808597i | −0.672165 | − | 0.0706474i | −0.237704 | − | 0.971338i | \(-0.576395\pi\) |
−0.434462 | + | 0.900690i | \(0.643061\pi\) | |||||||
\(132\) | 2.21299 | + | 2.21299i | 0.192616 | + | 0.192616i | ||||
\(133\) | −3.13557 | + | 3.98679i | −0.271888 | + | 0.345698i | ||||
\(134\) | 12.3091 | + | 3.99948i | 1.06335 | + | 0.345503i | ||||
\(135\) | 6.99667 | − | 1.20746i | 0.602178 | − | 0.103922i | ||||
\(136\) | 0.520171 | − | 2.44721i | 0.0446043 | − | 0.209847i | ||||
\(137\) | 14.2496 | + | 0.746788i | 1.21742 | + | 0.0638024i | 0.650200 | − | 0.759763i | \(-0.274685\pi\) |
0.567222 | + | 0.823565i | \(0.308018\pi\) | |||||||
\(138\) | −6.73470 | + | 10.3705i | −0.573296 | + | 0.882798i | ||||
\(139\) | −4.16998 | − | 12.8339i | −0.353693 | − | 1.08856i | −0.956763 | − | 0.290868i | \(-0.906056\pi\) |
0.603070 | − | 0.797688i | \(-0.293944\pi\) | |||||||
\(140\) | −4.17611 | − | 22.3003i | −0.352946 | − | 1.88472i | ||||
\(141\) | 2.04135 | − | 6.28264i | 0.171913 | − | 0.529094i | ||||
\(142\) | −7.24374 | − | 8.94528i | −0.607882 | − | 0.750671i | ||||
\(143\) | 2.05957 | + | 7.68642i | 0.172230 | + | 0.642771i | ||||
\(144\) | −3.32089 | − | 7.45884i | −0.276741 | − | 0.621570i | ||||
\(145\) | −2.42664 | + | 7.83508i | −0.201522 | + | 0.650668i | ||||
\(146\) | −8.69371 | − | 11.9659i | −0.719497 | − | 0.990302i | ||||
\(147\) | −0.903498 | + | 3.80149i | −0.0745193 | + | 0.313542i | ||||
\(148\) | 12.3622 | − | 24.2622i | 1.01617 | − | 1.99434i | ||||
\(149\) | −4.67073 | + | 2.69664i | −0.382641 | + | 0.220918i | −0.678967 | − | 0.734169i | \(-0.737572\pi\) |
0.296326 | + | 0.955087i | \(0.404239\pi\) | |||||||
\(150\) | −4.11190 | − | 5.34270i | −0.335735 | − | 0.436230i | ||||
\(151\) | −7.31423 | + | 12.6686i | −0.595224 | + | 1.03096i | 0.398291 | + | 0.917259i | \(0.369603\pi\) |
−0.993515 | + | 0.113699i | \(0.963730\pi\) | |||||||
\(152\) | 8.48573 | − | 0.444718i | 0.688284 | − | 0.0360714i | ||||
\(153\) | 0.237383 | − | 1.49878i | 0.0191913 | − | 0.121169i | ||||
\(154\) | 6.15265 | − | 7.03190i | 0.495795 | − | 0.566647i | ||||
\(155\) | 4.52842 | − | 8.09982i | 0.363732 | − | 0.650593i | ||||
\(156\) | −1.21792 | + | 11.5877i | −0.0975115 | + | 0.927760i | ||||
\(157\) | −0.0227188 | + | 0.00608749i | −0.00181316 | + | 0.000485835i | −0.259726 | − | 0.965682i | \(-0.583632\pi\) |
0.257912 | + | 0.966168i | \(0.416965\pi\) | |||||||
\(158\) | 2.30593 | + | 0.885164i | 0.183450 | + | 0.0704199i | ||||
\(159\) | −1.30497 | + | 0.277381i | −0.103491 | + | 0.0219977i | ||||
\(160\) | 2.11452 | − | 2.68625i | 0.167167 | − | 0.212366i | ||||
\(161\) | 21.1832 | + | 11.8315i | 1.66947 | + | 0.932451i | ||||
\(162\) | −6.90099 | − | 13.5439i | −0.542193 | − | 1.06411i | ||||
\(163\) | −15.3668 | − | 9.97930i | −1.20362 | − | 0.781639i | −0.222478 | − | 0.974938i | \(-0.571415\pi\) |
−0.981140 | + | 0.193299i | \(0.938081\pi\) | |||||||
\(164\) | −17.5623 | − | 3.73298i | −1.37139 | − | 0.291497i | ||||
\(165\) | 0.447904 | − | 1.76899i | 0.0348693 | − | 0.137716i | ||||
\(166\) | 4.83903 | + | 22.7658i | 0.375581 | + | 1.76697i | ||||
\(167\) | 0.600636 | + | 3.79227i | 0.0464786 | + | 0.293454i | 0.999968 | − | 0.00797150i | \(-0.00253744\pi\) |
−0.953490 | + | 0.301426i | \(0.902537\pi\) | |||||||
\(168\) | 5.78974 | − | 3.05456i | 0.446688 | − | 0.235664i | ||||
\(169\) | −9.77236 | + | 13.4505i | −0.751720 | + | 1.03465i | ||||
\(170\) | −2.88627 | + | 0.982085i | −0.221366 | + | 0.0753225i | ||||
\(171\) | 5.12566 | − | 0.538729i | 0.391969 | − | 0.0411976i | ||||
\(172\) | −2.92938 | − | 2.37216i | −0.223363 | − | 0.180876i | ||||
\(173\) | −0.130982 | − | 2.49929i | −0.00995838 | − | 0.190017i | −0.999079 | − | 0.0429100i | \(-0.986337\pi\) |
0.989121 | − | 0.147107i | \(-0.0469962\pi\) | |||||||
\(174\) | −4.94602 | −0.374956 | ||||||||
\(175\) | −9.92331 | + | 8.74803i | −0.750131 | + | 0.661289i | ||||
\(176\) | −4.44008 | −0.334684 | ||||||||
\(177\) | −0.0298297 | − | 0.569185i | −0.00224214 | − | 0.0427826i | ||||
\(178\) | −17.0376 | − | 13.7968i | −1.27702 | − | 1.03411i | ||||
\(179\) | 7.26187 | − | 0.763254i | 0.542778 | − | 0.0570483i | 0.170828 | − | 0.985301i | \(-0.445356\pi\) |
0.371950 | + | 0.928253i | \(0.378689\pi\) | |||||||
\(180\) | −13.2918 | + | 18.8363i | −0.990709 | + | 1.40398i | ||||
\(181\) | 1.79536 | − | 2.47110i | 0.133448 | − | 0.183676i | −0.737063 | − | 0.675824i | \(-0.763788\pi\) |
0.870512 | + | 0.492148i | \(0.163788\pi\) | |||||||
\(182\) | 34.7606 | + | 1.32607i | 2.57662 | + | 0.0982948i | ||||
\(183\) | −0.938105 | − | 5.92296i | −0.0693467 | − | 0.437838i | ||||
\(184\) | −8.45137 | − | 39.7606i | −0.623043 | − | 2.93119i | ||||
\(185\) | −15.8425 | + | 1.04989i | −1.16476 | + | 0.0771891i | ||||
\(186\) | 5.47347 | + | 1.16342i | 0.401334 | + | 0.0853062i | ||||
\(187\) | −0.692084 | − | 0.449444i | −0.0506102 | − | 0.0328666i | ||||
\(188\) | 20.6042 | + | 40.4380i | 1.50271 | + | 2.94924i | ||||
\(189\) | 7.21493 | − | 4.30357i | 0.524809 | − | 0.313039i | ||||
\(190\) | −5.75907 | − | 8.60556i | −0.417807 | − | 0.624313i | ||||
\(191\) | −3.79304 | + | 0.806235i | −0.274455 | + | 0.0583371i | −0.343083 | − | 0.939305i | \(-0.611471\pi\) |
0.0686281 | + | 0.997642i | \(0.478138\pi\) | |||||||
\(192\) | 5.08984 | + | 1.95381i | 0.367328 | + | 0.141004i | ||||
\(193\) | −16.4657 | + | 4.41197i | −1.18523 | + | 0.317581i | −0.796998 | − | 0.603982i | \(-0.793580\pi\) |
−0.388229 | + | 0.921563i | \(0.626913\pi\) | |||||||
\(194\) | 2.02251 | − | 19.2429i | 0.145208 | − | 1.38156i | ||||
\(195\) | 6.16761 | − | 2.84872i | 0.441672 | − | 0.204001i | ||||
\(196\) | −14.0785 | − | 22.8569i | −1.00560 | − | 1.63263i | ||||
\(197\) | −0.906287 | + | 5.72207i | −0.0645702 | + | 0.407681i | 0.934140 | + | 0.356907i | \(0.116169\pi\) |
−0.998710 | + | 0.0507736i | \(0.983831\pi\) | |||||||
\(198\) | −9.48125 | + | 0.496891i | −0.673803 | + | 0.0353125i | ||||
\(199\) | 0.307833 | − | 0.533183i | 0.0218217 | − | 0.0377963i | −0.854908 | − | 0.518779i | \(-0.826387\pi\) |
0.876730 | + | 0.480983i | \(0.159720\pi\) | |||||||
\(200\) | 21.9769 | + | 2.86096i | 1.55400 | + | 0.202300i | ||||
\(201\) | 2.59013 | − | 1.49541i | 0.182694 | − | 0.105478i | ||||
\(202\) | 16.4337 | − | 32.2529i | 1.15627 | − | 2.26931i | ||||
\(203\) | 0.645777 | + | 9.68353i | 0.0453247 | + | 0.679651i | ||||
\(204\) | −0.710214 | − | 0.977525i | −0.0497249 | − | 0.0684404i | ||||
\(205\) | 3.37229 | + | 9.91088i | 0.235531 | + | 0.692206i | ||||
\(206\) | 5.27026 | + | 11.8372i | 0.367197 | + | 0.824737i | ||||
\(207\) | −6.38109 | − | 23.8146i | −0.443517 | − | 1.65523i | ||||
\(208\) | −10.4028 | − | 12.8464i | −0.721306 | − | 0.890739i | ||||
\(209\) | 0.866099 | − | 2.66558i | 0.0599093 | − | 0.184382i | ||||
\(210\) | −6.80929 | − | 4.15530i | −0.469886 | − | 0.286743i | ||||
\(211\) | 5.11584 | + | 15.7449i | 0.352189 | + | 1.08393i | 0.957621 | + | 0.288030i | \(0.0930003\pi\) |
−0.605432 | + | 0.795897i | \(0.707000\pi\) | |||||||
\(212\) | 4.99205 | − | 7.68709i | 0.342855 | − | 0.527951i | ||||
\(213\) | −2.65623 | − | 0.139207i | −0.182002 | − | 0.00953830i | ||||
\(214\) | 2.05001 | − | 9.64454i | 0.140136 | − | 0.659287i | ||||
\(215\) | −0.313800 | + | 2.17533i | −0.0214010 | + | 0.148356i | ||||
\(216\) | −13.3854 | − | 4.34918i | −0.910761 | − | 0.295924i | ||||
\(217\) | 1.56316 | − | 10.8681i | 0.106114 | − | 0.737775i | ||||
\(218\) | −7.70942 | − | 7.70942i | −0.522148 | − | 0.522148i | ||||
\(219\) | −3.39915 | − | 0.357265i | −0.229693 | − | 0.0241417i | ||||
\(220\) | 6.41785 | + | 10.7697i | 0.432691 | + | 0.726093i | ||||
\(221\) | −0.321137 | − | 3.05542i | −0.0216020 | − | 0.205529i | ||||
\(222\) | −3.43104 | − | 8.93816i | −0.230276 | − | 0.599890i | ||||
\(223\) | 13.7864 | + | 7.02455i | 0.923209 | + | 0.470398i | 0.849920 | − | 0.526912i | \(-0.176650\pi\) |
0.0732891 | + | 0.997311i | \(0.476650\pi\) | |||||||
\(224\) | 1.19510 | − | 3.86441i | 0.0798513 | − | 0.258202i | ||||
\(225\) | 13.4022 | + | 1.03526i | 0.893477 | + | 0.0690171i | ||||
\(226\) | 23.2614 | + | 40.2899i | 1.54732 | + | 2.68004i | ||||
\(227\) | 9.68496 | + | 14.9135i | 0.642813 | + | 0.989846i | 0.998474 | + | 0.0552306i | \(0.0175894\pi\) |
−0.355660 | + | 0.934615i | \(0.615744\pi\) | |||||||
\(228\) | 2.58262 | − | 3.18927i | 0.171038 | − | 0.211214i | ||||
\(229\) | 5.53365 | + | 2.46374i | 0.365674 | + | 0.162809i | 0.581344 | − | 0.813658i | \(-0.302527\pi\) |
−0.215670 | + | 0.976466i | \(0.569194\pi\) | |||||||
\(230\) | −36.3498 | + | 33.6503i | −2.39684 | + | 2.21883i | ||||
\(231\) | −0.256225 | − | 2.14389i | −0.0168583 | − | 0.141058i | ||||
\(232\) | 11.4969 | − | 11.4969i | 0.754805 | − | 0.754805i | ||||
\(233\) | 15.5592 | − | 12.5996i | 1.01932 | − | 0.825425i | 0.0345656 | − | 0.999402i | \(-0.488995\pi\) |
0.984750 | + | 0.173977i | \(0.0556619\pi\) | |||||||
\(234\) | −23.6516 | − | 26.2678i | −1.54615 | − | 1.71718i | ||||
\(235\) | 14.1046 | − | 22.3904i | 0.920085 | − | 1.46059i | ||||
\(236\) | 2.91002 | + | 2.62019i | 0.189426 | + | 0.170560i | ||||
\(237\) | 0.508563 | − | 0.259126i | 0.0330347 | − | 0.0168320i | ||||
\(238\) | −2.77086 | + | 2.30984i | −0.179608 | + | 0.149725i | ||||
\(239\) | −3.16618 | + | 1.02875i | −0.204803 | + | 0.0665446i | −0.409622 | − | 0.912255i | \(-0.634339\pi\) |
0.204819 | + | 0.978800i | \(0.434339\pi\) | |||||||
\(240\) | 0.644654 | + | 3.73547i | 0.0416123 | + | 0.241123i | ||||
\(241\) | −4.52417 | + | 4.07358i | −0.291427 | + | 0.262402i | −0.801855 | − | 0.597518i | \(-0.796154\pi\) |
0.510428 | + | 0.859920i | \(0.329487\pi\) | |||||||
\(242\) | 7.67199 | − | 19.9862i | 0.493174 | − | 1.28476i | ||||
\(243\) | −12.5941 | − | 3.37459i | −0.807915 | − | 0.216480i | ||||
\(244\) | 33.3311 | + | 24.2165i | 2.13380 | + | 1.55030i | ||||
\(245\) | −7.24639 | + | 13.8741i | −0.462955 | + | 0.886382i | ||||
\(246\) | −5.10718 | + | 3.71058i | −0.325622 | + | 0.236578i | ||||
\(247\) | 9.74149 | − | 3.73941i | 0.619836 | − | 0.237933i | ||||
\(248\) | −15.4272 | + | 10.0186i | −0.979631 | + | 0.636180i | ||||
\(249\) | 4.65778 | + | 2.68917i | 0.295175 | + | 0.170419i | ||||
\(250\) | −10.7146 | − | 24.7905i | −0.677653 | − | 1.56789i | ||||
\(251\) | 6.66670i | 0.420798i | 0.977616 | + | 0.210399i | \(0.0674763\pi\) | ||||
−0.977616 | + | 0.210399i | \(0.932524\pi\) | |||||||
\(252\) | −6.68434 | + | 26.4459i | −0.421074 | + | 1.66594i | ||||
\(253\) | −13.2424 | − | 2.09740i | −0.832546 | − | 0.131862i | ||||
\(254\) | −19.4460 | + | 43.6764i | −1.22015 | + | 2.74050i | ||||
\(255\) | −0.277637 | + | 0.647509i | −0.0173863 | + | 0.0405486i | ||||
\(256\) | −27.4705 | + | 12.2306i | −1.71690 | + | 0.764415i | ||||
\(257\) | −6.46367 | + | 24.1227i | −0.403193 | + | 1.50474i | 0.404172 | + | 0.914683i | \(0.367560\pi\) |
−0.807365 | + | 0.590052i | \(0.799107\pi\) | |||||||
\(258\) | −1.30900 | + | 0.207325i | −0.0814946 | + | 0.0129075i | ||||
\(259\) | −17.0516 | + | 7.88445i | −1.05953 | + | 0.489916i | ||||
\(260\) | −16.1232 | + | 43.8014i | −0.999917 | + | 2.71645i | ||||
\(261\) | 6.59866 | − | 7.32855i | 0.408447 | − | 0.453626i | ||||
\(262\) | 0.977950 | − | 18.6604i | 0.0604179 | − | 1.15284i | ||||
\(263\) | −0.401040 | + | 7.65229i | −0.0247292 | + | 0.471861i | 0.957995 | + | 0.286785i | \(0.0925864\pi\) |
−0.982724 | + | 0.185076i | \(0.940747\pi\) | |||||||
\(264\) | −2.42042 | + | 2.68815i | −0.148967 | + | 0.165444i | ||||
\(265\) | −5.34037 | − | 0.205953i | −0.328057 | − | 0.0126516i | ||||
\(266\) | −10.0135 | − | 7.05978i | −0.613970 | − | 0.432863i | ||||
\(267\) | −5.00375 | + | 0.792516i | −0.306224 | + | 0.0485012i | ||||
\(268\) | −5.31814 | + | 19.8476i | −0.324857 | + | 1.21238i | ||||
\(269\) | −5.17004 | + | 2.30185i | −0.315223 | + | 0.140346i | −0.558249 | − | 0.829673i | \(-0.688527\pi\) |
0.243026 | + | 0.970020i | \(0.421860\pi\) | |||||||
\(270\) | 3.79723 | + | 16.7251i | 0.231092 | + | 1.01786i | ||||
\(271\) | 6.84395 | − | 15.3718i | 0.415740 | − | 0.933768i | −0.577359 | − | 0.816491i | \(-0.695917\pi\) |
0.993099 | − | 0.117278i | \(-0.0374168\pi\) | |||||||
\(272\) | 1.69311 | + | 0.268163i | 0.102660 | + | 0.0162598i | ||||
\(273\) | 5.60258 | − | 5.76434i | 0.339084 | − | 0.348874i | ||||
\(274\) | 34.4680i | 2.08229i | ||||||||
\(275\) | 3.47872 | − | 6.42917i | 0.209775 | − | 0.387694i | ||||
\(276\) | −17.0013 | − | 9.81570i | −1.02336 | − | 0.590836i | ||||
\(277\) | −26.8396 | + | 17.4298i | −1.61264 | + | 1.04726i | −0.656504 | + | 0.754323i | \(0.727966\pi\) |
−0.956132 | + | 0.292936i | \(0.905368\pi\) | |||||||
\(278\) | 30.4315 | − | 11.6815i | 1.82516 | − | 0.700612i | ||||
\(279\) | −9.02620 | + | 6.55792i | −0.540385 | + | 0.392612i | ||||
\(280\) | 25.4868 | − | 6.16910i | 1.52313 | − | 0.368674i | ||||
\(281\) | 11.1737 | + | 8.11818i | 0.666568 | + | 0.484290i | 0.868875 | − | 0.495032i | \(-0.164844\pi\) |
−0.202307 | + | 0.979322i | \(0.564844\pi\) | |||||||
\(282\) | 15.4134 | + | 4.13001i | 0.917855 | + | 0.245938i | ||||
\(283\) | 4.97950 | − | 12.9720i | 0.296000 | − | 0.771108i | −0.702247 | − | 0.711933i | \(-0.747820\pi\) |
0.998248 | − | 0.0591744i | \(-0.0188468\pi\) | |||||||
\(284\) | 13.5802 | − | 12.2277i | 0.805838 | − | 0.725579i | ||||
\(285\) | −2.36832 | − | 0.341640i | −0.140287 | − | 0.0202370i | ||||
\(286\) | −18.2812 | + | 5.93994i | −1.08099 | + | 0.351236i | ||||
\(287\) | 7.93156 | + | 9.51459i | 0.468185 | + | 0.561628i | ||||
\(288\) | −3.66223 | + | 1.86600i | −0.215799 | + | 0.109955i | ||||
\(289\) | −12.3967 | − | 11.1620i | −0.729218 | − | 0.656590i | ||||
\(290\) | −19.2070 | − | 4.86316i | −1.12787 | − | 0.285575i | ||||
\(291\) | −2.99182 | − | 3.32275i | −0.175384 | − | 0.194783i | ||||
\(292\) | 18.2487 | − | 14.7775i | 1.06792 | − | 0.864786i | ||||
\(293\) | −12.3432 | + | 12.3432i | −0.721098 | + | 0.721098i | −0.968829 | − | 0.247731i | \(-0.920315\pi\) |
0.247731 | + | 0.968829i | \(0.420315\pi\) | |||||||
\(294\) | −9.28439 | − | 1.69888i | −0.541477 | − | 0.0990807i | ||||
\(295\) | 0.443812 | − | 2.23966i | 0.0258397 | − | 0.130398i | ||||
\(296\) | 28.7518 | + | 12.8011i | 1.67116 | + | 0.744050i | ||||
\(297\) | −2.92144 | + | 3.60768i | −0.169519 | + | 0.209339i | ||||
\(298\) | −7.09547 | − | 10.9261i | −0.411030 | − | 0.632930i | ||||
\(299\) | −24.9578 | − | 43.2282i | −1.44335 | − | 2.49995i | ||||
\(300\) | 8.12881 | − | 6.96303i | 0.469317 | − | 0.402011i | ||||
\(301\) | 0.576819 | + | 2.53574i | 0.0332473 | + | 0.146158i | ||||
\(302\) | −31.4846 | − | 16.0422i | −1.81174 | − | 0.923126i | ||||
\(303\) | −2.99769 | − | 7.80924i | −0.172213 | − | 0.448629i | ||||
\(304\) | 0.608581 | + | 5.79026i | 0.0349045 | + | 0.332094i | ||||
\(305\) | 2.18077 | − | 23.9232i | 0.124871 | − | 1.36984i | ||||
\(306\) | 3.64545 | + | 0.383152i | 0.208396 | + | 0.0219033i | ||||
\(307\) | 6.36188 | + | 6.36188i | 0.363092 | + | 0.363092i | 0.864950 | − | 0.501858i | \(-0.167350\pi\) |
−0.501858 | + | 0.864950i | \(0.667350\pi\) | |||||||
\(308\) | 11.6598 | + | 9.17031i | 0.664378 | + | 0.522527i | ||||
\(309\) | 2.84770 | + | 0.925274i | 0.162000 | + | 0.0526370i | ||||
\(310\) | 20.1113 | + | 9.89972i | 1.14225 | + | 0.562266i | ||||
\(311\) | 4.57080 | − | 21.5039i | 0.259186 | − | 1.21938i | −0.635295 | − | 0.772270i | \(-0.719121\pi\) |
0.894481 | − | 0.447106i | \(-0.147545\pi\) | |||||||
\(312\) | −13.4485 | − | 0.704804i | −0.761369 | − | 0.0399017i | ||||
\(313\) | 17.0478 | − | 26.2513i | 0.963597 | − | 1.48381i | 0.0907153 | − | 0.995877i | \(-0.471085\pi\) |
0.872882 | − | 0.487932i | \(-0.162249\pi\) | |||||||
\(314\) | −0.0175567 | − | 0.0540341i | −0.000990784 | − | 0.00304932i | ||||
\(315\) | 15.2415 | − | 4.54564i | 0.858759 | − | 0.256118i | ||||
\(316\) | −1.21177 | + | 3.72943i | −0.0681672 | + | 0.209797i | ||||
\(317\) | 17.9529 | + | 22.1700i | 1.00834 | + | 1.24519i | 0.969282 | + | 0.245953i | \(0.0791010\pi\) |
0.0390537 | + | 0.999237i | \(0.487566\pi\) | |||||||
\(318\) | −0.834090 | − | 3.11287i | −0.0467734 | − | 0.174561i | ||||
\(319\) | −2.18126 | − | 4.89919i | −0.122127 | − | 0.274302i | ||||
\(320\) | 17.8444 | + | 12.5918i | 0.997534 | + | 0.703905i | ||||
\(321\) | −1.33926 | − | 1.84333i | −0.0747502 | − | 0.102885i | ||||
\(322\) | −25.8625 | + | 52.5951i | −1.44126 | + | 2.93101i | ||||
\(323\) | −0.491255 | + | 0.964143i | −0.0273342 | + | 0.0536463i | ||||
\(324\) | 20.8995 | − | 12.0664i | 1.16109 | − | 0.670353i | ||||
\(325\) | 26.7518 | − | 4.99822i | 1.48393 | − | 0.277252i | ||||
\(326\) | 22.1299 | − | 38.3302i | 1.22566 | − | 2.12291i | ||||
\(327\) | −2.51600 | + | 0.131858i | −0.139135 | + | 0.00729176i | ||||
\(328\) | 3.24634 | − | 20.4966i | 0.179249 | − | 1.13174i | ||||
\(329\) | 6.07347 | − | 30.7163i | 0.334841 | − | 1.69344i | ||||
\(330\) | 4.32389 | + | 0.856822i | 0.238022 | + | 0.0471665i | ||||
\(331\) | 1.17667 | − | 11.1952i | 0.0646754 | − | 0.615345i | −0.913396 | − | 0.407073i | \(-0.866549\pi\) |
0.978071 | − | 0.208272i | \(-0.0667840\pi\) | |||||||
\(332\) | −35.6915 | + | 9.56351i | −1.95883 | + | 0.524866i | ||||
\(333\) | 17.8212 | + | 6.84092i | 0.976597 | + | 0.374880i | ||||
\(334\) | −9.07198 | + | 1.92831i | −0.496397 | + | 0.105512i | ||||
\(335\) | 11.5287 | − | 3.26043i | 0.629879 | − | 0.178136i | ||||
\(336\) | 2.29764 | + | 3.85199i | 0.125347 | + | 0.210144i | ||||
\(337\) | −11.8722 | − | 23.3005i | −0.646721 | − | 1.26926i | −0.948770 | − | 0.315968i | \(-0.897671\pi\) |
0.302049 | − | 0.953292i | \(-0.402329\pi\) | |||||||
\(338\) | −33.6815 | − | 21.8730i | −1.83203 | − | 1.18974i | ||||
\(339\) | 10.5157 | + | 2.23518i | 0.571135 | + | 0.121399i | ||||
\(340\) | −1.79684 | − | 4.49436i | −0.0974474 | − | 0.243741i | ||||
\(341\) | 1.26147 | + | 5.93474i | 0.0683123 | + | 0.321384i | ||||
\(342\) | 1.94754 | + | 12.2963i | 0.105311 | + | 0.664908i | ||||
\(343\) | −2.11393 | + | 18.3992i | −0.114141 | + | 0.993465i | ||||
\(344\) | 2.56080 | − | 3.52464i | 0.138069 | − | 0.190036i | ||||
\(345\) | 0.158114 | + | 11.4455i | 0.00851258 | + | 0.616204i | ||||
\(346\) | 6.01236 | − | 0.631924i | 0.323226 | − | 0.0339724i | ||||
\(347\) | 16.6750 | + | 13.5031i | 0.895161 | + | 0.724887i | 0.962050 | − | 0.272874i | \(-0.0879741\pi\) |
−0.0668893 | + | 0.997760i | \(0.521307\pi\) | |||||||
\(348\) | −0.410958 | − | 7.84155i | −0.0220297 | − | 0.420351i | ||||
\(349\) | −6.75314 | −0.361487 | −0.180744 | − | 0.983530i | \(-0.557850\pi\) | ||||
−0.180744 | + | 0.983530i | \(0.557850\pi\) | |||||||
\(350\) | −22.3570 | − | 22.8316i | −1.19503 | − | 1.22040i | ||||
\(351\) | −17.2828 | −0.922487 | ||||||||
\(352\) | 0.116981 | + | 2.23213i | 0.00623510 | + | 0.118973i | ||||
\(353\) | −5.16465 | − | 4.18225i | −0.274887 | − | 0.222599i | 0.481957 | − | 0.876195i | \(-0.339926\pi\) |
−0.756844 | + | 0.653596i | \(0.773260\pi\) | |||||||
\(354\) | 1.36925 | − | 0.143914i | 0.0727748 | − | 0.00764894i | ||||
\(355\) | −10.1781 | − | 3.15231i | −0.540198 | − | 0.167307i | ||||
\(356\) | 20.4582 | − | 28.1583i | 1.08428 | − | 1.49238i | ||||
\(357\) | −0.0317777 | + | 0.832995i | −0.00168185 | + | 0.0440868i | ||||
\(358\) | 2.75922 | + | 17.4210i | 0.145829 | + | 0.920729i | ||||
\(359\) | 2.24426 | + | 10.5584i | 0.118448 | + | 0.557252i | 0.996849 | + | 0.0793276i | \(0.0252773\pi\) |
−0.878401 | + | 0.477924i | \(0.841389\pi\) | |||||||
\(360\) | −22.5453 | − | 14.2022i | −1.18824 | − | 0.748522i | ||||
\(361\) | 14.9899 | + | 3.18621i | 0.788944 | + | 0.167695i | ||||
\(362\) | 6.18791 | + | 4.01847i | 0.325229 | + | 0.211206i | ||||
\(363\) | −2.24592 | − | 4.40787i | −0.117880 | − | 0.231353i | ||||
\(364\) | 0.785823 | + | 55.2205i | 0.0411883 | + | 2.89434i | ||||
\(365\) | −12.8487 | − | 4.72958i | −0.672533 | − | 0.247558i | ||||
\(366\) | 14.1691 | − | 3.01174i | 0.740631 | − | 0.157426i | ||||
\(367\) | −25.6677 | − | 9.85290i | −1.33984 | − | 0.514317i | −0.420327 | − | 0.907373i | \(-0.638085\pi\) |
−0.919515 | + | 0.393055i | \(0.871418\pi\) | |||||||
\(368\) | 26.9024 | − | 7.20847i | 1.40238 | − | 0.375768i | ||||
\(369\) | 1.31567 | − | 12.5178i | 0.0684911 | − | 0.651649i | ||||
\(370\) | −4.53541 | − | 38.0834i | −0.235785 | − | 1.97986i | ||||
\(371\) | −5.98560 | + | 2.03945i | −0.310757 | + | 0.105883i | ||||
\(372\) | −1.38974 | + | 8.77445i | −0.0720545 | + | 0.454934i | ||||
\(373\) | 5.87895 | − | 0.308103i | 0.304401 | − | 0.0159530i | 0.100476 | − | 0.994939i | \(-0.467963\pi\) |
0.203925 | + | 0.978987i | \(0.434630\pi\) | |||||||
\(374\) | 0.996681 | − | 1.72630i | 0.0515372 | − | 0.0892650i | ||||
\(375\) | −5.91398 | − | 1.99322i | −0.305397 | − | 0.102929i | ||||
\(376\) | −45.4280 | + | 26.2279i | −2.34277 | + | 1.35260i | ||||
\(377\) | 9.06421 | − | 17.7895i | 0.466830 | − | 0.916206i | ||||
\(378\) | 11.2934 | + | 16.8602i | 0.580872 | + | 0.867195i | ||||
\(379\) | −8.74037 | − | 12.0301i | −0.448962 | − | 0.617944i | 0.523212 | − | 0.852203i | \(-0.324734\pi\) |
−0.972174 | + | 0.234259i | \(0.924734\pi\) | |||||||
\(380\) | 13.1650 | − | 9.84561i | 0.675349 | − | 0.505069i | ||||
\(381\) | 4.49365 | + | 10.0929i | 0.230217 | + | 0.517075i | ||||
\(382\) | −2.42437 | − | 9.04786i | −0.124041 | − | 0.462929i | ||||
\(383\) | 10.5505 | + | 13.0287i | 0.539104 | + | 0.665738i | 0.971801 | − | 0.235802i | \(-0.0757715\pi\) |
−0.432698 | + | 0.901539i | \(0.642438\pi\) | |||||||
\(384\) | −3.54218 | + | 10.9017i | −0.180761 | + | 0.556326i | ||||
\(385\) | 1.11298 | − | 8.57737i | 0.0567225 | − | 0.437143i | ||||
\(386\) | −12.7244 | − | 39.1617i | −0.647655 | − | 1.99328i | ||||
\(387\) | 1.43919 | − | 2.21615i | 0.0731579 | − | 0.112653i | ||||
\(388\) | 30.6762 | + | 1.60767i | 1.55735 | + | 0.0816172i | ||||
\(389\) | −2.27326 | + | 10.6949i | −0.115259 | + | 0.542251i | 0.882192 | + | 0.470890i | \(0.156067\pi\) |
−0.997451 | + | 0.0713602i | \(0.977266\pi\) | |||||||
\(390\) | 7.65156 | + | 14.5177i | 0.387452 | + | 0.735133i | ||||
\(391\) | 4.92300 | + | 1.59958i | 0.248967 | + | 0.0808943i | ||||
\(392\) | 25.5303 | − | 17.6323i | 1.28947 | − | 0.890565i | ||||
\(393\) | −3.05331 | − | 3.05331i | −0.154019 | − | 0.154019i | ||||
\(394\) | −13.9177 | − | 1.46281i | −0.701162 | − | 0.0736951i | ||||
\(395\) | 2.22970 | − | 0.506226i | 0.112188 | − | 0.0254710i | ||||
\(396\) | −1.57557 | − | 14.9905i | −0.0791754 | − | 0.753303i | ||||
\(397\) | 6.94998 | + | 18.1053i | 0.348809 | + | 0.908679i | 0.989971 | + | 0.141273i | \(0.0451196\pi\) |
−0.641161 | + | 0.767406i | \(0.721547\pi\) | |||||||
\(398\) | 1.32509 | + | 0.675167i | 0.0664208 | + | 0.0338431i | ||||
\(399\) | −2.76071 | + | 0.627994i | −0.138208 | + | 0.0314390i | ||||
\(400\) | −1.16949 | + | 15.1399i | −0.0584744 | + | 0.756995i | ||||
\(401\) | −5.04071 | − | 8.73077i | −0.251721 | − | 0.435994i | 0.712279 | − | 0.701897i | \(-0.247663\pi\) |
−0.964000 | + | 0.265903i | \(0.914330\pi\) | |||||||
\(402\) | 3.93476 | + | 6.05900i | 0.196248 | + | 0.302195i | ||||
\(403\) | −14.2154 | + | 17.5545i | −0.708117 | + | 0.874452i | ||||
\(404\) | 52.5001 | + | 23.3745i | 2.61198 | + | 1.16293i | ||||
\(405\) | −12.2820 | − | 6.86659i | −0.610298 | − | 0.341204i | ||||
\(406\) | −23.2775 | + | 2.78198i | −1.15524 | + | 0.138067i | ||||
\(407\) | 7.34041 | − | 7.34041i | 0.363851 | − | 0.363851i | ||||
\(408\) | 1.08532 | − | 0.878874i | 0.0537313 | − | 0.0435108i | ||||
\(409\) | 13.6941 | + | 15.2089i | 0.677132 | + | 0.752031i | 0.979562 | − | 0.201140i | \(-0.0644647\pi\) |
−0.302431 | + | 0.953171i | \(0.597798\pi\) | |||||||
\(410\) | −23.4813 | + | 9.38777i | −1.15966 | + | 0.463629i | ||||
\(411\) | 5.91914 | + | 5.32962i | 0.291970 | + | 0.262891i | ||||
\(412\) | −18.3291 | + | 9.33915i | −0.903011 | + | 0.460107i | ||||
\(413\) | −0.460537 | − | 2.66199i | −0.0226616 | − | 0.130988i | ||||
\(414\) | 56.6401 | − | 18.4035i | 2.78371 | − | 0.904482i | ||||
\(415\) | 15.4436 | + | 15.0227i | 0.758094 | + | 0.737434i | ||||
\(416\) | −6.18410 | + | 5.56819i | −0.303200 | + | 0.273003i | ||||
\(417\) | 2.69941 | − | 7.03221i | 0.132191 | − | 0.344369i | ||||
\(418\) | 6.53955 | + | 1.75227i | 0.319860 | + | 0.0857062i | ||||
\(419\) | 29.7740 | + | 21.6321i | 1.45455 | + | 1.05680i | 0.984740 | + | 0.174031i | \(0.0556792\pi\) |
0.469814 | + | 0.882765i | \(0.344321\pi\) | |||||||
\(420\) | 6.02216 | − | 11.1409i | 0.293851 | − | 0.543620i | ||||
\(421\) | 6.67173 | − | 4.84730i | 0.325160 | − | 0.236243i | −0.413214 | − | 0.910634i | \(-0.635594\pi\) |
0.738374 | + | 0.674391i | \(0.235594\pi\) | |||||||
\(422\) | −37.3341 | + | 14.3312i | −1.81740 | + | 0.697633i | ||||
\(423\) | −26.6830 | + | 17.3282i | −1.29737 | + | 0.842525i | ||||
\(424\) | 9.17457 | + | 5.29694i | 0.445556 | + | 0.257242i | ||||
\(425\) | −1.71482 | + | 2.24150i | −0.0831809 | + | 0.108729i | ||||
\(426\) | − | 6.42509i | − | 0.311297i | ||||||
\(427\) | −7.74651 | − | 27.3477i | −0.374880 | − | 1.32345i | ||||
\(428\) | 15.4610 | + | 2.44879i | 0.747338 | + | 0.118367i | ||||
\(429\) | −1.80668 | + | 4.05788i | −0.0872275 | + | 0.195916i | ||||
\(430\) | −5.28711 | − | 0.481959i | −0.254967 | − | 0.0232421i | ||||
\(431\) | 6.54027 | − | 2.91192i | 0.315034 | − | 0.140262i | −0.243128 | − | 0.969994i | \(-0.578174\pi\) |
0.558162 | + | 0.829732i | \(0.311507\pi\) | |||||||
\(432\) | 2.49586 | − | 9.31468i | 0.120082 | − | 0.448153i | ||||
\(433\) | −21.2321 | + | 3.36284i | −1.02035 | + | 0.161608i | −0.644125 | − | 0.764921i | \(-0.722778\pi\) |
−0.376225 | + | 0.926528i | \(0.622778\pi\) | |||||||
\(434\) | 26.4143 | + | 2.39677i | 1.26793 | + | 0.115049i | ||||
\(435\) | −3.80503 | + | 2.54642i | −0.182437 | + | 0.122092i | ||||
\(436\) | 11.5822 | − | 12.8633i | 0.554685 | − | 0.616040i | ||||
\(437\) | −0.920114 | + | 17.5568i | −0.0440150 | + | 0.839857i | ||||
\(438\) | 0.432091 | − | 8.24478i | 0.0206461 | − | 0.393951i | ||||
\(439\) | 3.64408 | − | 4.04717i | 0.173923 | − | 0.193161i | −0.649881 | − | 0.760036i | \(-0.725181\pi\) |
0.823804 | + | 0.566875i | \(0.191848\pi\) | |||||||
\(440\) | −12.0424 | + | 8.05908i | −0.574099 | + | 0.384202i | ||||
\(441\) | 14.9039 | − | 11.4902i | 0.709709 | − | 0.547154i | ||||
\(442\) | 7.32984 | − | 1.16093i | 0.348645 | − | 0.0552200i | ||||
\(443\) | 5.80282 | − | 21.6564i | 0.275700 | − | 1.02893i | −0.679671 | − | 0.733517i | \(-0.737877\pi\) |
0.955371 | − | 0.295409i | \(-0.0954560\pi\) | |||||||
\(444\) | 13.8857 | − | 6.18232i | 0.658987 | − | 0.293400i | ||||
\(445\) | −20.2104 | − | 1.84233i | −0.958066 | − | 0.0873347i | ||||
\(446\) | −15.2021 | + | 34.1445i | −0.719841 | + | 1.61679i | ||||
\(447\) | −2.97346 | − | 0.470949i | −0.140640 | − | 0.0222751i | ||||
\(448\) | 25.0534 | + | 6.33235i | 1.18366 | + | 0.299176i | ||||
\(449\) | − | 11.7184i | − | 0.553024i | −0.961010 | − | 0.276512i | \(-0.910821\pi\) | ||
0.961010 | − | 0.276512i | \(-0.0891785\pi\) | |||||||
\(450\) | −0.802989 | + | 32.4603i | −0.0378533 | + | 1.53019i | ||||
\(451\) | −5.92779 | − | 3.42241i | −0.279129 | − | 0.161155i | ||||
\(452\) | −61.9439 | + | 40.2268i | −2.91360 | + | 1.89211i | ||||
\(453\) | −7.62323 | + | 2.92628i | −0.358170 | + | 0.137489i | ||||
\(454\) | −34.7509 | + | 25.2480i | −1.63094 | + | 1.18495i | ||||
\(455\) | 27.4244 | − | 16.8761i | 1.28568 | − | 0.791163i | ||||
\(456\) | 3.83734 | + | 2.78799i | 0.179700 | + | 0.130560i | ||||
\(457\) | 12.3521 | + | 3.30974i | 0.577808 | + | 0.154823i | 0.535875 | − | 0.844297i | \(-0.319982\pi\) |
0.0419327 | + | 0.999120i | \(0.486649\pi\) | |||||||
\(458\) | −5.24360 | + | 13.6601i | −0.245018 | + | 0.638292i | ||||
\(459\) | 1.33191 | − | 1.19926i | 0.0621681 | − | 0.0559764i | ||||
\(460\) | −56.3703 | − | 54.8341i | −2.62828 | − | 2.55665i | ||||
\(461\) | −14.1552 | + | 4.59931i | −0.659274 | + | 0.214211i | −0.619499 | − | 0.784997i | \(-0.712664\pi\) |
−0.0397753 | + | 0.999209i | \(0.512664\pi\) | |||||||
\(462\) | 5.13923 | − | 0.889113i | 0.239099 | − | 0.0413653i | ||||
\(463\) | −13.3292 | + | 6.79155i | −0.619459 | + | 0.315630i | −0.735407 | − | 0.677625i | \(-0.763009\pi\) |
0.115949 | + | 0.993255i | \(0.463009\pi\) | |||||||
\(464\) | 8.27878 | + | 7.45425i | 0.384333 | + | 0.346055i | ||||
\(465\) | 4.80978 | − | 1.92294i | 0.223048 | − | 0.0891744i | ||||
\(466\) | 32.3604 | + | 35.9399i | 1.49907 | + | 1.66488i | ||||
\(467\) | 23.3288 | − | 18.8913i | 1.07953 | − | 0.874183i | 0.0869991 | − | 0.996208i | \(-0.472272\pi\) |
0.992527 | + | 0.122025i | \(0.0389389\pi\) | |||||||
\(468\) | 39.6805 | − | 39.6805i | 1.83423 | − | 1.83423i | ||||
\(469\) | 11.3488 | − | 8.49475i | 0.524041 | − | 0.392251i | ||||
\(470\) | 55.7944 | + | 31.1934i | 2.57361 | + | 1.43884i | ||||
\(471\) | −0.0119939 | − | 0.00534003i | −0.000552650 | − | 0.000246056i | ||||
\(472\) | −2.84825 | + | 3.51730i | −0.131101 | + | 0.161897i | ||||
\(473\) | −0.782648 | − | 1.20517i | −0.0359862 | − | 0.0554139i | ||||
\(474\) | 0.689371 | + | 1.19403i | 0.0316639 | + | 0.0548434i | ||||
\(475\) | −8.86103 | − | 3.65534i | −0.406572 | − | 0.167719i | ||||
\(476\) | −3.89232 | − | 4.20107i | −0.178404 | − | 0.192556i | ||||
\(477\) | 5.72515 | + | 2.91711i | 0.262136 | + | 0.133565i | ||||
\(478\) | −2.88189 | − | 7.50758i | −0.131815 | − | 0.343389i | ||||
\(479\) | 2.76810 | + | 26.3367i | 0.126478 | + | 1.20335i | 0.855109 | + | 0.518448i | \(0.173490\pi\) |
−0.728632 | + | 0.684906i | \(0.759843\pi\) | |||||||
\(480\) | 1.86092 | − | 0.422499i | 0.0849389 | − | 0.0192843i | ||||
\(481\) | 38.4360 | + | 4.03979i | 1.75253 | + | 0.184198i | ||||
\(482\) | −10.3985 | − | 10.3985i | −0.473637 | − | 0.473637i | ||||
\(483\) | 5.03308 | + | 12.5739i | 0.229013 | + | 0.572130i | ||||
\(484\) | 32.3241 | + | 10.5027i | 1.46928 | + | 0.477398i | ||||
\(485\) | −8.35112 | − | 15.8450i | −0.379205 | − | 0.719486i | ||||
\(486\) | 6.54821 | − | 30.8069i | 0.297033 | − | 1.39743i | ||||
\(487\) | −0.0598556 | − | 0.00313690i | −0.00271232 | − | 0.000142146i | 0.0509798 | − | 0.998700i | \(-0.483766\pi\) |
−0.0536921 | + | 0.998558i | \(0.517099\pi\) | |||||||
\(488\) | −25.9350 | + | 39.9363i | −1.17402 | + | 1.80783i | ||||
\(489\) | −3.16054 | − | 9.72715i | −0.142925 | − | 0.439877i | ||||
\(490\) | −34.3839 | − | 15.7262i | −1.55331 | − | 0.710436i | ||||
\(491\) | −7.94297 | + | 24.4459i | −0.358461 | + | 1.10323i | 0.595514 | + | 0.803345i | \(0.296948\pi\) |
−0.953975 | + | 0.299885i | \(0.903052\pi\) | |||||||
\(492\) | −6.30721 | − | 7.78875i | −0.284351 | − | 0.351144i | ||||
\(493\) | 0.535878 | + | 1.99992i | 0.0241347 | + | 0.0900720i | ||||
\(494\) | 10.2519 | + | 23.0262i | 0.461257 | + | 1.03600i | ||||
\(495\) | −7.03822 | + | 5.26362i | −0.316344 | + | 0.236582i | ||||
\(496\) | −7.40823 | − | 10.1966i | −0.332639 | − | 0.457839i | ||||
\(497\) | −12.5793 | + | 0.838893i | −0.564260 | + | 0.0376295i | ||||
\(498\) | −5.89813 | + | 11.5757i | −0.264301 | + | 0.518721i | ||||
\(499\) | −17.5119 | + | 10.1105i | −0.783941 | + | 0.452608i | −0.837825 | − | 0.545939i | \(-0.816173\pi\) |
0.0538844 | + | 0.998547i | \(0.482840\pi\) | |||||||
\(500\) | 38.4132 | − | 19.0471i | 1.71789 | − | 0.851811i | ||||
\(501\) | −1.07161 | + | 1.85608i | −0.0478760 | + | 0.0829237i | ||||
\(502\) | −16.0818 | + | 0.842810i | −0.717765 | + | 0.0376165i | ||||
\(503\) | −5.66920 | + | 35.7939i | −0.252777 | + | 1.59597i | 0.455630 | + | 0.890169i | \(0.349414\pi\) |
−0.708407 | + | 0.705804i | \(0.750586\pi\) | |||||||
\(504\) | −30.9288 | − | 6.11548i | −1.37768 | − | 0.272405i | ||||
\(505\) | −3.96257 | − | 33.2733i | −0.176332 | − | 1.48064i | ||||
\(506\) | 3.38534 | − | 32.2093i | 0.150497 | − | 1.43188i | ||||
\(507\) | −8.96423 | + | 2.40196i | −0.398115 | + | 0.106675i | ||||
\(508\) | −70.8615 | − | 27.2012i | −3.14397 | − | 1.20686i | ||||
\(509\) | −26.2947 | + | 5.58911i | −1.16549 | + | 0.247733i | −0.749732 | − | 0.661741i | \(-0.769818\pi\) |
−0.415760 | + | 0.909474i | \(0.636484\pi\) | |||||||
\(510\) | −1.59706 | − | 0.587873i | −0.0707189 | − | 0.0260315i | ||||
\(511\) | −16.1984 | + | 0.230514i | −0.716576 | + | 0.0101973i | ||||
\(512\) | −14.3306 | − | 28.1255i | −0.633331 | − | 1.24298i | ||||
\(513\) | 5.10517 | + | 3.31533i | 0.225399 | + | 0.146376i | ||||
\(514\) | −59.0074 | − | 12.5424i | −2.60270 | − | 0.553222i | ||||
\(515\) | 10.1488 | + | 6.39314i | 0.447209 | + | 0.281715i | ||||
\(516\) | −0.437461 | − | 2.05809i | −0.0192582 | − | 0.0906025i | ||||
\(517\) | 2.70661 | + | 17.0889i | 0.119037 | + | 0.751568i | ||||
\(518\) | −21.1750 | − | 40.1360i | −0.930376 | − | 1.76347i | ||||
\(519\) | 0.821142 | − | 1.13020i | 0.0360441 | − | 0.0496105i | ||||
\(520\) | −51.5318 | − | 15.9602i | −2.25982 | − | 0.699899i | ||||
\(521\) | 34.1333 | − | 3.58755i | 1.49541 | − | 0.157174i | 0.678781 | − | 0.734341i | \(-0.262509\pi\) |
0.816626 | + | 0.577167i | \(0.195842\pi\) | |||||||
\(522\) | 18.5126 | + | 14.9912i | 0.810272 | + | 0.656146i | ||||
\(523\) | 1.76160 | + | 33.6133i | 0.0770294 | + | 1.46981i | 0.714663 | + | 0.699468i | \(0.246580\pi\) |
−0.637634 | + | 0.770339i | \(0.720087\pi\) | |||||||
\(524\) | 29.6660 | 1.29596 | ||||||||
\(525\) | −7.37780 | + | 0.308993i | −0.321993 | + | 0.0134856i | ||||
\(526\) | −18.5100 | −0.807074 | ||||||||
\(527\) | −0.122595 | − | 2.33925i | −0.00534032 | − | 0.101899i | ||||
\(528\) | −1.92611 | − | 1.55973i | −0.0838232 | − | 0.0678787i | ||||
\(529\) | 60.7670 | − | 6.38687i | 2.64204 | − | 0.277690i | ||||
\(530\) | −0.178324 | − | 12.9084i | −0.00774588 | − | 0.560704i | ||||
\(531\) | −1.61353 | + | 2.22083i | −0.0700211 | + | 0.0963757i | ||||
\(532\) | 10.3608 | − | 16.4623i | 0.449196 | − | 0.713733i | ||||
\(533\) | −3.98642 | − | 25.1693i | −0.172671 | − | 1.09020i | ||||
\(534\) | −2.54433 | − | 11.9701i | −0.110104 | − | 0.517998i | ||||
\(535\) | −3.38833 | − | 8.47509i | −0.146490 | − | 0.366410i | ||||
\(536\) | −23.2302 | − | 4.93773i | −1.00339 | − | 0.213277i | ||||
\(537\) | 3.41833 | + | 2.21989i | 0.147512 | + | 0.0957953i | ||||
\(538\) | −6.20626 | − | 12.1805i | −0.267571 | − | 0.525137i | ||||
\(539\) | −2.41175 | − | 9.94573i | −0.103881 | − | 0.428393i | ||||
\(540\) | −26.2010 | + | 7.40991i | −1.12751 | + | 0.318872i | ||||
\(541\) | 1.21050 | − | 0.257299i | 0.0520433 | − | 0.0110622i | −0.181816 | − | 0.983332i | \(-0.558198\pi\) |
0.233860 | + | 0.972270i | \(0.424864\pi\) | |||||||
\(542\) | 37.9458 | + | 14.5660i | 1.62991 | + | 0.625665i | ||||
\(543\) | 1.64689 | − | 0.441284i | 0.0706749 | − | 0.0189373i | ||||
\(544\) | 0.0902037 | − | 0.858231i | 0.00386745 | − | 0.0367963i | ||||
\(545\) | −9.90009 | − | 1.96180i | −0.424073 | − | 0.0840344i | ||||
\(546\) | 14.6133 | + | 12.7861i | 0.625393 | + | 0.547196i | ||||
\(547\) | −2.74658 | + | 17.3412i | −0.117435 | + | 0.741456i | 0.856754 | + | 0.515725i | \(0.172477\pi\) |
−0.974190 | + | 0.225732i | \(0.927523\pi\) | |||||||
\(548\) | −54.6465 | + | 2.86390i | −2.33438 | + | 0.122340i | ||||
\(549\) | −14.4410 | + | 25.0126i | −0.616327 | + | 1.06751i | ||||
\(550\) | 15.9486 | + | 7.57877i | 0.680050 | + | 0.323160i | ||||
\(551\) | −6.09001 | + | 3.51607i | −0.259443 | + | 0.149790i | ||||
\(552\) | 10.3011 | − | 20.2170i | 0.438443 | − | 0.860493i | ||||
\(553\) | 2.24771 | − | 1.50558i | 0.0955823 | − | 0.0640238i | ||||
\(554\) | −45.4383 | − | 62.5405i | −1.93049 | − | 2.65709i | ||||
\(555\) | −7.24129 | − | 5.10978i | −0.307376 | − | 0.216898i | ||||
\(556\) | 21.0487 | + | 47.2762i | 0.892666 | + | 2.00496i | ||||
\(557\) | 2.11159 | + | 7.88056i | 0.0894709 | + | 0.333910i | 0.996123 | − | 0.0879686i | \(-0.0280375\pi\) |
−0.906652 | + | 0.421879i | \(0.861371\pi\) | |||||||
\(558\) | −16.9605 | − | 20.9445i | −0.717995 | − | 0.886649i | ||||
\(559\) | 1.65321 | − | 5.08806i | 0.0699234 | − | 0.215202i | ||||
\(560\) | 5.13503 | + | 17.2177i | 0.216995 | + | 0.727581i | ||||
\(561\) | −0.142344 | − | 0.438088i | −0.00600975 | − | 0.0184961i | ||||
\(562\) | −18.1705 | + | 27.9802i | −0.766478 | + | 1.18027i | ||||
\(563\) | 22.6750 | + | 1.18835i | 0.955639 | + | 0.0500829i | 0.523776 | − | 0.851856i | \(-0.324523\pi\) |
0.431863 | + | 0.901939i | \(0.357856\pi\) | |||||||
\(564\) | −5.26715 | + | 24.7800i | −0.221787 | + | 1.04343i | ||||
\(565\) | 38.6382 | + | 19.0195i | 1.62552 | + | 0.800157i | ||||
\(566\) | 31.9214 | + | 10.3719i | 1.34176 | + | 0.435963i | ||||
\(567\) | −16.4797 | − | 2.37026i | −0.692081 | − | 0.0995417i | ||||
\(568\) | 14.9349 | + | 14.9349i | 0.626655 | + | 0.626655i | ||||
\(569\) | −1.54908 | − | 0.162815i | −0.0649408 | − | 0.00682555i | 0.0720023 | − | 0.997404i | \(-0.477061\pi\) |
−0.136943 | + | 0.990579i | \(0.543728\pi\) | |||||||
\(570\) | 0.524718 | − | 5.75618i | 0.0219780 | − | 0.241100i | ||||
\(571\) | 3.70225 | + | 35.2246i | 0.154934 | + | 1.47410i | 0.745171 | + | 0.666873i | \(0.232368\pi\) |
−0.590237 | + | 0.807230i | \(0.700966\pi\) | |||||||
\(572\) | −10.9363 | − | 28.4900i | −0.457270 | − | 1.19123i | ||||
\(573\) | −1.92864 | − | 0.982693i | −0.0805702 | − | 0.0410526i | ||||
\(574\) | −21.9489 | + | 20.3358i | −0.916130 | + | 0.848800i | ||||
\(575\) | −10.6397 | + | 44.6020i | −0.443708 | + | 1.86003i | ||||
\(576\) | −13.1290 | − | 22.7400i | −0.547040 | − | 0.947502i | ||||
\(577\) | −10.2089 | − | 15.7203i | −0.425002 | − | 0.654445i | 0.559700 | − | 0.828695i | \(-0.310916\pi\) |
−0.984701 | + | 0.174250i | \(0.944250\pi\) | |||||||
\(578\) | 25.3585 | − | 31.3151i | 1.05477 | − | 1.30254i | ||||
\(579\) | −8.69270 | − | 3.87024i | −0.361256 | − | 0.160842i | ||||
\(580\) | 6.11430 | − | 30.8554i | 0.253883 | − | 1.28120i | ||||
\(581\) | 23.4336 | + | 10.0362i | 0.972188 | + | 0.416373i | ||||
\(582\) | 7.63710 | − | 7.63710i | 0.316568 | − | 0.316568i | ||||
\(583\) | 2.71555 | − | 2.19901i | 0.112467 | − | 0.0910737i | ||||
\(584\) | 18.1603 | + | 20.1691i | 0.751480 | + | 0.834603i | ||||
\(585\) | −31.7192 | − | 8.03123i | −1.31143 | − | 0.332051i | ||||
\(586\) | −31.3354 | − | 28.2145i | −1.29445 | − | 1.16553i | ||||
\(587\) | −33.0264 | + | 16.8278i | −1.36315 | + | 0.694558i | −0.973985 | − | 0.226611i | \(-0.927235\pi\) |
−0.389162 | + | 0.921169i | \(0.627235\pi\) | |||||||
\(588\) | 1.92202 | − | 14.8609i | 0.0792629 | − | 0.612853i | ||||
\(589\) | 7.56653 | − | 2.45851i | 0.311773 | − | 0.101301i | ||||
\(590\) | 5.45874 | + | 0.787447i | 0.224733 | + | 0.0324187i | ||||
\(591\) | −2.40323 | + | 2.16388i | −0.0988555 | + | 0.0890099i | ||||
\(592\) | −7.72793 | + | 20.1319i | −0.317616 | + | 0.827418i | ||||
\(593\) | 24.5278 | + | 6.57220i | 1.00724 | + | 0.269888i | 0.724474 | − | 0.689302i | \(-0.242083\pi\) |
0.282762 | + | 0.959190i | \(0.408749\pi\) | |||||||
\(594\) | −9.07198 | − | 6.59118i | −0.372228 | − | 0.270439i | ||||
\(595\) | −0.942444 | + | 3.20355i | −0.0386364 | + | 0.131333i | ||||
\(596\) | 16.7329 | − | 12.1572i | 0.685408 | − | 0.497978i | ||||
\(597\) | 0.320838 | − | 0.123158i | 0.0131310 | − | 0.00504053i | ||||
\(598\) | 101.122 | − | 65.6697i | 4.13520 | − | 2.68543i | ||||
\(599\) | 0.232774 | + | 0.134392i | 0.00951087 | + | 0.00549110i | 0.504748 | − | 0.863267i | \(-0.331585\pi\) |
−0.495237 | + | 0.868758i | \(0.664919\pi\) | |||||||
\(600\) | 8.52859 | + | 8.96125i | 0.348178 | + | 0.365841i | ||||
\(601\) | − | 12.9678i | − | 0.528969i | −0.964390 | − | 0.264484i | \(-0.914798\pi\) | ||
0.964390 | − | 0.264484i | \(-0.0852018\pi\) | |||||||
\(602\) | −6.04394 | + | 1.71201i | −0.246333 | + | 0.0697762i | ||||
\(603\) | −14.2272 | − | 2.25336i | −0.579375 | − | 0.0917640i | ||||
\(604\) | 22.8178 | − | 51.2495i | 0.928442 | − | 2.08531i | ||||
\(605\) | −4.38762 | − | 19.3255i | −0.178382 | − | 0.785693i | ||||
\(606\) | 18.4589 | − | 8.21844i | 0.749842 | − | 0.333851i | ||||
\(607\) | 0.560685 | − | 2.09251i | 0.0227575 | − | 0.0849322i | −0.953613 | − | 0.301035i | \(-0.902668\pi\) |
0.976371 | + | 0.216103i | \(0.0693346\pi\) | |||||||
\(608\) | 2.89486 | − | 0.458501i | 0.117402 | − | 0.0185947i | ||||
\(609\) | −3.12154 | + | 4.42758i | −0.126491 | + | 0.179415i | ||||
\(610\) | 57.9845 | + | 2.23619i | 2.34773 | + | 0.0905408i | ||||
\(611\) | −43.1016 | + | 47.8691i | −1.74370 | + | 1.93658i | ||||
\(612\) | −0.304564 | + | 5.81143i | −0.0123113 | + | 0.234913i | ||||
\(613\) | 1.37655 | − | 26.2662i | 0.0555985 | − | 1.06088i | −0.818306 | − | 0.574783i | \(-0.805086\pi\) |
0.873904 | − | 0.486098i | \(-0.161580\pi\) | |||||||
\(614\) | −14.5422 | + | 16.1508i | −0.586876 | + | 0.651792i | ||||
\(615\) | −2.01864 | + | 5.48399i | −0.0813995 | + | 0.221136i | ||||
\(616\) | −9.87926 | + | 14.0127i | −0.398047 | + | 0.564587i | ||||
\(617\) | 9.54303 | − | 1.51147i | 0.384188 | − | 0.0608494i | 0.0386466 | − | 0.999253i | \(-0.487695\pi\) |
0.345541 | + | 0.938404i | \(0.387695\pi\) | |||||||
\(618\) | −1.87199 | + | 6.98636i | −0.0753024 | + | 0.281033i | ||||
\(619\) | 14.8271 | − | 6.60143i | 0.595950 | − | 0.265334i | −0.0865173 | − | 0.996250i | \(-0.527574\pi\) |
0.682467 | + | 0.730916i | \(0.260907\pi\) | |||||||
\(620\) | −14.0243 | + | 32.7076i | −0.563228 | + | 1.31357i | ||||
\(621\) | 11.8439 | − | 26.6019i | 0.475280 | − | 1.06750i | ||||
\(622\) | 52.4508 | + | 8.30739i | 2.10309 | + | 0.333096i | ||||
\(623\) | −23.1035 | + | 6.54428i | −0.925621 | + | 0.262191i | ||||
\(624\) | − | 9.22715i | − | 0.369382i | ||||||
\(625\) | −21.0061 | − | 13.5552i | −0.840244 | − | 0.542209i | ||||
\(626\) | 65.4800 | + | 37.8049i | 2.61711 | + | 1.51099i | ||||
\(627\) | 1.31209 | − | 0.852083i | 0.0524000 | − | 0.0340289i | ||||
\(628\) | 0.0842083 | − | 0.0323245i | 0.00336028 | − | 0.00128989i | ||||
\(629\) | −3.24241 | + | 2.35575i | −0.129283 | + | 0.0939299i | ||||
\(630\) | 12.8921 | + | 36.1917i | 0.513633 | + | 1.44191i | ||||
\(631\) | −15.0730 | − | 10.9512i | −0.600047 | − | 0.435959i | 0.245849 | − | 0.969308i | \(-0.420933\pi\) |
−0.845895 | + | 0.533349i | \(0.820933\pi\) | |||||||
\(632\) | −4.37789 | − | 1.17305i | −0.174143 | − | 0.0466615i | ||||
\(633\) | −3.31171 | + | 8.62730i | −0.131629 | + | 0.342904i | ||||
\(634\) | −51.2101 | + | 46.1097i | −2.03381 | + | 1.83125i | ||||
\(635\) | 7.52648 | + | 43.6124i | 0.298679 | + | 1.73071i | ||||
\(636\) | 4.86592 | − | 1.58103i | 0.192946 | − | 0.0626920i | ||||
\(637\) | 23.1253 | − | 30.2801i | 0.916256 | − | 1.19974i | ||||
\(638\) | 11.5423 | − | 5.88112i | 0.456966 | − | 0.232836i | ||||
\(639\) | 9.52011 | + | 8.57195i | 0.376610 | + | 0.339101i | ||||
\(640\) | −24.4745 | + | 38.8521i | −0.967441 | + | 1.53576i | ||||
\(641\) | −22.5050 | − | 24.9943i | −0.888892 | − | 0.987215i | 0.111086 | − | 0.993811i | \(-0.464567\pi\) |
−0.999978 | + | 0.00659607i | \(0.997900\pi\) | |||||||
\(642\) | 4.27728 | − | 3.46367i | 0.168811 | − | 0.136700i | ||||
\(643\) | 4.83539 | − | 4.83539i | 0.190689 | − | 0.190689i | −0.605305 | − | 0.795994i | \(-0.706949\pi\) |
0.795994 | + | 0.605305i | \(0.206949\pi\) | |||||||
\(644\) | −85.5345 | − | 36.6331i | −3.37053 | − | 1.44355i | ||||
\(645\) | −0.900287 | + | 0.833426i | −0.0354488 | + | 0.0328161i | ||||
\(646\) | −2.38786 | − | 1.06315i | −0.0939492 | − | 0.0418289i | ||||
\(647\) | 20.8246 | − | 25.7163i | 0.818701 | − | 1.01101i | −0.180920 | − | 0.983498i | \(-0.557908\pi\) |
0.999621 | − | 0.0275139i | \(-0.00875905\pi\) | |||||||
\(648\) | 15.1915 | + | 23.3928i | 0.596777 | + | 0.918956i | ||||
\(649\) | 0.746409 | + | 1.29282i | 0.0292991 | + | 0.0507476i | ||||
\(650\) | 15.4390 | + | 63.9004i | 0.605567 | + | 2.50638i | ||||
\(651\) | 4.49590 | − | 4.16548i | 0.176208 | − | 0.163258i | ||||
\(652\) | 62.6085 | + | 31.9006i | 2.45194 | + | 1.24932i | ||||
\(653\) | −5.21471 | − | 13.5848i | −0.204067 | − | 0.531614i | 0.792907 | − | 0.609343i | \(-0.208567\pi\) |
−0.996975 | + | 0.0777287i | \(0.975233\pi\) | |||||||
\(654\) | −0.636150 | − | 6.05256i | −0.0248754 | − | 0.236674i | ||||
\(655\) | −8.85483 | − | 14.8591i | −0.345987 | − | 0.580595i | ||||
\(656\) | 14.1408 | + | 1.48626i | 0.552107 | + | 0.0580288i | ||||
\(657\) | 11.6399 | + | 11.6399i | 0.454115 | + | 0.454115i | ||||
\(658\) | 74.8634 | + | 10.7676i | 2.91848 | + | 0.419764i | ||||
\(659\) | −20.5326 | − | 6.67144i | −0.799835 | − | 0.259882i | −0.119549 | − | 0.992828i | \(-0.538145\pi\) |
−0.680287 | + | 0.732946i | \(0.738145\pi\) | |||||||
\(660\) | −0.999163 | + | 6.92640i | −0.0388924 | + | 0.269610i | ||||
\(661\) | −4.46066 | + | 20.9858i | −0.173500 | + | 0.816251i | 0.802186 | + | 0.597075i | \(0.203670\pi\) |
−0.975685 | + | 0.219176i | \(0.929663\pi\) | |||||||
\(662\) | 27.1545 | + | 1.42311i | 1.05539 | + | 0.0553106i | ||||
\(663\) | 0.934013 | − | 1.43825i | 0.0362740 | − | 0.0558571i | ||||
\(664\) | −13.1974 | − | 40.6174i | −0.512158 | − | 1.57626i | ||||
\(665\) | −11.3382 | − | 0.275760i | −0.439677 | − | 0.0106935i | ||||
\(666\) | −14.2491 | + | 43.8542i | −0.552141 | + | 1.69931i | ||||
\(667\) | 21.1701 | + | 26.1429i | 0.819709 | + | 1.01226i | ||||
\(668\) | −3.81097 | − | 14.2227i | −0.147451 | − | 0.550295i | ||||
\(669\) | 3.51296 | + | 7.89023i | 0.135819 | + | 0.305054i | ||||
\(670\) | 9.32246 | + | 27.3979i | 0.360158 | + | 1.05847i | ||||
\(671\) | 9.23200 | + | 12.7068i | 0.356397 | + | 0.490539i | ||||
\(672\) | 1.87595 | − | 1.25656i | 0.0723663 | − | 0.0484730i | ||||
\(673\) | −2.28409 | + | 4.48278i | −0.0880452 | + | 0.172799i | −0.930830 | − | 0.365452i | \(-0.880914\pi\) |
0.842785 | + | 0.538250i | \(0.180914\pi\) | |||||||
\(674\) | 54.7059 | − | 31.5845i | 2.10719 | − | 1.21659i | ||||
\(675\) | 11.5321 | + | 10.9118i | 0.443870 | + | 0.419997i | ||||
\(676\) | 31.8795 | − | 55.2170i | 1.22614 | − | 2.12373i | ||||
\(677\) | −39.2213 | + | 2.05550i | −1.50740 | + | 0.0789993i | −0.788032 | − | 0.615634i | \(-0.788900\pi\) |
−0.719364 | + | 0.694633i | \(0.755567\pi\) | |||||||
\(678\) | −4.06243 | + | 25.6492i | −0.156017 | + | 0.985051i | ||||
\(679\) | −15.9494 | − | 13.9551i | −0.612082 | − | 0.535548i | ||||
\(680\) | 5.07880 | − | 2.34582i | 0.194763 | − | 0.0899580i | ||||
\(681\) | −1.03756 | + | 9.87169i | −0.0397593 | + | 0.378284i | ||||
\(682\) | −14.1566 | + | 3.79326i | −0.542085 | + | 0.145251i | ||||
\(683\) | −6.22645 | − | 2.39011i | −0.238249 | − | 0.0914551i | 0.236314 | − | 0.971677i | \(-0.424061\pi\) |
−0.474563 | + | 0.880222i | \(0.657394\pi\) | |||||||
\(684\) | −19.3331 | + | 4.10937i | −0.739218 | + | 0.157126i | ||||
\(685\) | 17.7456 | + | 26.5166i | 0.678025 | + | 1.01315i | ||||
\(686\) | −44.6509 | − | 2.77328i | −1.70478 | − | 0.105884i | ||||
\(687\) | 1.53503 | + | 3.01266i | 0.0585650 | + | 0.114940i | ||||
\(688\) | 2.50350 | + | 1.62579i | 0.0954451 | + | 0.0619828i | ||||
\(689\) | 12.7247 | + | 2.70472i | 0.484773 | + | 0.103042i | ||||
\(690\) | −27.5894 | + | 1.82836i | −1.05031 | + | 0.0696045i | ||||
\(691\) | −8.01165 | − | 37.6918i | −0.304777 | − | 1.43386i | −0.817806 | − | 0.575493i | \(-0.804810\pi\) |
0.513029 | − | 0.858371i | \(-0.328523\pi\) | |||||||
\(692\) | 1.50143 | + | 9.47965i | 0.0570758 | + | 0.360362i | ||||
\(693\) | −5.53903 | + | 8.80104i | −0.210410 | + | 0.334324i | ||||
\(694\) | −30.4650 | + | 41.9314i | −1.15643 | + | 1.59170i | ||||
\(695\) | 17.3971 | − | 24.6542i | 0.659910 | − | 0.935186i | ||||
\(696\) | 9.02602 | − | 0.948673i | 0.342131 | − | 0.0359594i | ||||
\(697\) | 2.05371 | + | 1.66306i | 0.0777900 | + | 0.0629931i | ||||
\(698\) | −0.853738 | − | 16.2903i | −0.0323145 | − | 0.616597i | ||||
\(699\) | 11.1756 | 0.422701 | ||||||||
\(700\) | 34.3403 | − | 37.3424i | 1.29794 | − | 1.41141i | ||||
\(701\) | −24.6418 | −0.930708 | −0.465354 | − | 0.885125i | \(-0.654073\pi\) | ||||
−0.465354 | + | 0.885125i | \(0.654073\pi\) | |||||||
\(702\) | −2.18491 | − | 41.6905i | −0.0824640 | − | 1.57351i | ||||
\(703\) | −10.5787 | − | 8.56644i | −0.398982 | − | 0.323089i | ||||
\(704\) | −14.2012 | + | 1.49260i | −0.535227 | + | 0.0562546i | ||||
\(705\) | 13.9840 | − | 4.75822i | 0.526668 | − | 0.179205i | ||||
\(706\) | 9.43574 | − | 12.9872i | 0.355119 | − | 0.488779i | ||||
\(707\) | −18.5005 | − | 35.0667i | −0.695784 | − | 1.31882i | ||||
\(708\) | 0.341934 | + | 2.15889i | 0.0128507 | + | 0.0811360i | ||||
\(709\) | 1.59445 | + | 7.50128i | 0.0598807 | + | 0.281716i | 0.997893 | − | 0.0648864i | \(-0.0206685\pi\) |
−0.938012 | + | 0.346603i | \(0.887335\pi\) | |||||||
\(710\) | 6.31746 | − | 24.9507i | 0.237090 | − | 0.936384i | ||||
\(711\) | −2.68891 | − | 0.571546i | −0.100842 | − | 0.0214346i | ||||
\(712\) | 33.7384 | + | 21.9100i | 1.26440 | + | 0.821111i | ||||
\(713\) | −17.2783 | − | 33.9105i | −0.647076 | − | 1.26996i | ||||
\(714\) | −2.01342 | + | 0.0286522i | −0.0753502 | + | 0.00107228i | ||||
\(715\) | −11.0058 | + | 13.9816i | −0.411595 | + | 0.522884i | ||||
\(716\) | −27.3905 | + | 5.82203i | −1.02363 | + | 0.217579i | ||||
\(717\) | −1.73488 | − | 0.665957i | −0.0647902 | − | 0.0248706i | ||||
\(718\) | −25.1859 | + | 6.74853i | −0.939928 | + | 0.251853i | ||||
\(719\) | −0.150645 | + | 1.43329i | −0.00561811 | + | 0.0534528i | −0.996972 | − | 0.0777643i | \(-0.975222\pi\) |
0.991354 | + | 0.131217i | \(0.0418885\pi\) | |||||||
\(720\) | 8.90916 | − | 15.9355i | 0.332025 | − | 0.593881i | ||||
\(721\) | 13.9226 | + | 2.75289i | 0.518506 | + | 0.102523i | ||||
\(722\) | −5.79091 | + | 36.5624i | −0.215515 | + | 1.36071i | ||||
\(723\) | −3.39358 | + | 0.177850i | −0.126208 | + | 0.00661430i | ||||
\(724\) | −5.85685 | + | 10.1444i | −0.217668 | + | 0.377012i | ||||
\(725\) | −17.2799 | + | 6.14730i | −0.641760 | + | 0.228305i | ||||
\(726\) | 10.3490 | − | 5.97498i | 0.384087 | − | 0.221752i | ||||
\(727\) | 11.7658 | − | 23.0917i | 0.436370 | − | 0.856425i | −0.563177 | − | 0.826336i | \(-0.690421\pi\) |
0.999547 | − | 0.0300888i | \(-0.00957901\pi\) | |||||||
\(728\) | −63.6892 | + | 4.24731i | −2.36048 | + | 0.157416i | ||||
\(729\) | 6.81857 | + | 9.38496i | 0.252540 | + | 0.347591i | ||||
\(730\) | 9.78461 | − | 31.5923i | 0.362145 | − | 1.16928i | ||||
\(731\) | 0.225656 | + | 0.506831i | 0.00834618 | + | 0.0187458i | ||||
\(732\) | 5.95218 | + | 22.2139i | 0.219999 | + | 0.821048i | ||||
\(733\) | −10.5323 | − | 13.0063i | −0.389019 | − | 0.480399i | 0.544585 | − | 0.838706i | \(-0.316687\pi\) |
−0.933604 | + | 0.358307i | \(0.883354\pi\) | |||||||
\(734\) | 20.5228 | − | 63.1626i | 0.757510 | − | 2.33137i | ||||
\(735\) | −8.01725 | + | 3.47304i | −0.295721 | + | 0.128105i | ||||
\(736\) | −4.33265 | − | 13.3345i | −0.159703 | − | 0.491517i | ||||
\(737\) | −4.26636 | + | 6.56961i | −0.157153 | + | 0.241995i | ||||
\(738\) | 30.3624 | + | 1.59123i | 1.11765 | + | 0.0585738i | ||||
\(739\) | 5.17547 | − | 24.3487i | 0.190383 | − | 0.895681i | −0.774413 | − | 0.632681i | \(-0.781955\pi\) |
0.964796 | − | 0.263000i | \(-0.0847120\pi\) | |||||||
\(740\) | 60.0015 | − | 10.3549i | 2.20570 | − | 0.380652i | ||||
\(741\) | 5.53947 | + | 1.79988i | 0.203498 | + | 0.0661204i | ||||
\(742\) | −5.67638 | − | 14.1810i | −0.208386 | − | 0.520600i | ||||
\(743\) | −2.50838 | − | 2.50838i | −0.0920235 | − | 0.0920235i | 0.659596 | − | 0.751620i | \(-0.270727\pi\) |
−0.751620 | + | 0.659596i | \(0.770727\pi\) | |||||||
\(744\) | −10.2117 | − | 1.07330i | −0.374380 | − | 0.0393489i | ||||
\(745\) | −11.0838 | − | 4.75250i | −0.406081 | − | 0.174118i | ||||
\(746\) | 1.48645 | + | 14.1426i | 0.0544227 | + | 0.517797i | ||||
\(747\) | −9.28294 | − | 24.1829i | −0.339645 | − | 0.884806i | ||||
\(748\) | 2.81974 | + | 1.43673i | 0.103100 | + | 0.0525320i | ||||
\(749\) | −7.33980 | − | 7.92202i | −0.268190 | − | 0.289464i | ||||
\(750\) | 4.06050 | − | 14.5180i | 0.148268 | − | 0.530123i | ||||
\(751\) | −13.8463 | − | 23.9826i | −0.505260 | − | 0.875137i | −0.999981 | − | 0.00608485i | \(-0.998063\pi\) |
0.494721 | − | 0.869052i | \(-0.335270\pi\) | |||||||
\(752\) | −19.5750 | − | 30.1428i | −0.713826 | − | 1.09920i | ||||
\(753\) | −2.34191 | + | 2.89202i | −0.0853440 | + | 0.105391i | ||||
\(754\) | 44.0587 | + | 19.6162i | 1.60452 | + | 0.714380i | ||||
\(755\) | −32.4807 | + | 3.86819i | −1.18209 | + | 0.140778i | ||||
\(756\) | −25.7923 | + | 19.3058i | −0.938055 | + | 0.702146i | ||||
\(757\) | 30.1485 | − | 30.1485i | 1.09577 | − | 1.09577i | 0.100866 | − | 0.994900i | \(-0.467839\pi\) |
0.994900 | − | 0.100866i | \(-0.0321612\pi\) | |||||||
\(758\) | 27.9147 | − | 22.6049i | 1.01391 | − | 0.821045i | ||||
\(759\) | −5.00781 | − | 5.56173i | −0.181772 | − | 0.201878i | ||||
\(760\) | 12.1604 | + | 14.5997i | 0.441103 | + | 0.529588i | ||||
\(761\) | 11.8173 | + | 10.6403i | 0.428377 | + | 0.385712i | 0.854924 | − | 0.518753i | \(-0.173604\pi\) |
−0.426547 | + | 0.904465i | \(0.640270\pi\) | |||||||
\(762\) | −23.7786 | + | 12.1158i | −0.861407 | + | 0.438909i | ||||
\(763\) | −11.7669 | + | 2.03574i | −0.425991 | + | 0.0736986i | ||||
\(764\) | 14.1433 | − | 4.59543i | 0.511686 | − | 0.166257i | ||||
\(765\) | 3.00175 | − | 1.58207i | 0.108528 | − | 0.0571999i | ||||
\(766\) | −30.0949 | + | 27.0975i | −1.08737 | + | 0.979074i | ||||
\(767\) | −1.99170 | + | 5.18857i | −0.0719163 | + | 0.187348i | ||||
\(768\) | −16.2132 | − | 4.34431i | −0.585042 | − | 0.156762i | ||||
\(769\) | 15.7755 | + | 11.4616i | 0.568879 | + | 0.413315i | 0.834698 | − | 0.550708i | \(-0.185642\pi\) |
−0.265819 | + | 0.964023i | \(0.585642\pi\) | |||||||
\(770\) | 20.8315 | + | 1.60042i | 0.750716 | + | 0.0576753i | ||||
\(771\) | −11.2779 | + | 8.19388i | −0.406164 | + | 0.295095i | ||||
\(772\) | 61.0308 | − | 23.4275i | 2.19655 | − | 0.843175i | ||||
\(773\) | 4.37624 | − | 2.84197i | 0.157403 | − | 0.102218i | −0.463534 | − | 0.886079i | \(-0.653419\pi\) |
0.620937 | + | 0.783861i | \(0.286752\pi\) | |||||||
\(774\) | 5.52787 | + | 3.19152i | 0.198695 | + | 0.114717i | ||||
\(775\) | 20.5687 | − | 2.73821i | 0.738849 | − | 0.0983595i | ||||
\(776\) | 35.5044i | 1.27453i | ||||||||
\(777\) | −10.1667 | − | 2.56968i | −0.364728 | − | 0.0921866i | ||||
\(778\) | −26.0861 | − | 4.13163i | −0.935232 | − | 0.148126i | ||||
\(779\) | −3.65064 | + | 8.19946i | −0.130798 | + | 0.293776i | ||||
\(780\) | −22.3810 | + | 13.3373i | −0.801369 | + | 0.477550i | ||||
\(781\) | 6.36427 | − | 2.83356i | 0.227731 | − | 0.101393i | ||||
\(782\) | −3.23623 | + | 12.0778i | −0.115727 | + | 0.431900i | ||||
\(783\) | 11.5040 | − | 1.82205i | 0.411118 | − | 0.0651148i | ||||
\(784\) | 12.9801 | + | 16.8364i | 0.463574 | + | 0.601298i | ||||
\(785\) | −0.0413257 | − | 0.0325301i | −0.00147498 | − | 0.00116105i | ||||
\(786\) | 6.97936 | − | 7.75136i | 0.248945 | − | 0.276482i | ||||
\(787\) | 1.69180 | − | 32.2814i | 0.0603061 | − | 1.15071i | −0.786075 | − | 0.618131i | \(-0.787890\pi\) |
0.846381 | − | 0.532578i | \(-0.178777\pi\) | |||||||
\(788\) | 1.16277 | − | 22.1870i | 0.0414220 | − | 0.790379i | ||||
\(789\) | −2.86211 | + | 3.17869i | −0.101894 | + | 0.113165i | ||||
\(790\) | 1.50303 | + | 5.31461i | 0.0534754 | + | 0.189085i | ||||
\(791\) | 50.7475 | + | 4.60472i | 1.80437 | + | 0.163725i | ||||
\(792\) | 17.2071 | − | 2.72534i | 0.611428 | − | 0.0968407i | ||||
\(793\) | −15.1343 | + | 56.4819i | −0.537434 | + | 2.00573i | ||||
\(794\) | −42.7960 | + | 19.0540i | −1.51877 | + | 0.676202i | ||||
\(795\) | −2.24431 | − | 1.96534i | −0.0795976 | − | 0.0697033i | ||||
\(796\) | −0.960329 | + | 2.15693i | −0.0340379 | + | 0.0764505i | ||||
\(797\) | −20.0605 | − | 3.17727i | −0.710580 | − | 0.112545i | −0.209327 | − | 0.977846i | \(-0.567127\pi\) |
−0.501253 | + | 0.865301i | \(0.667127\pi\) | |||||||
\(798\) | −1.86389 | − | 6.58015i | −0.0659811 | − | 0.232935i | ||||
\(799\) | − | 6.67988i | − | 0.236317i | ||||||
\(800\) | 7.64197 | + | 0.189044i | 0.270185 | + | 0.00668371i | ||||
\(801\) | 21.1307 | + | 12.1998i | 0.746617 | + | 0.431060i | ||||
\(802\) | 20.4236 | − | 13.2632i | 0.721182 | − | 0.468341i | ||||
\(803\) | 8.35728 | − | 3.20806i | 0.294922 | − | 0.113210i | ||||
\(804\) | −9.27917 | + | 6.74171i | −0.327251 | + | 0.237762i | ||||
\(805\) | 7.18187 | + | 53.7771i | 0.253127 | + | 1.89540i | ||||
\(806\) | −44.1431 | − | 32.0718i | −1.55487 | − | 1.12968i | ||||
\(807\) | −3.05138 | − | 0.817614i | −0.107414 | − | 0.0287814i | ||||
\(808\) | −23.8037 | + | 62.0106i | −0.837410 | + | 2.18153i | ||||
\(809\) | 32.0376 | − | 28.8467i | 1.12638 | − | 1.01420i | 0.126628 | − | 0.991950i | \(-0.459585\pi\) |
0.999752 | − | 0.0222473i | \(-0.00708211\pi\) | |||||||
\(810\) | 15.0113 | − | 30.4955i | 0.527442 | − | 1.07150i | ||||
\(811\) | 36.4933 | − | 11.8574i | 1.28145 | − | 0.416370i | 0.412362 | − | 0.911020i | \(-0.364704\pi\) |
0.869092 | + | 0.494651i | \(0.164704\pi\) | |||||||
\(812\) | −6.34473 | − | 36.6737i | −0.222656 | − | 1.28699i | ||||
\(813\) | 8.36879 | − | 4.26411i | 0.293506 | − | 0.149549i | ||||
\(814\) | 18.6349 | + | 16.7790i | 0.653154 | + | 0.588102i | ||||
\(815\) | −2.70922 | − | 40.8813i | −0.0948997 | − | 1.43201i | ||||
\(816\) | 0.640273 | + | 0.711095i | 0.0224140 | + | 0.0248933i | ||||
\(817\) | −1.46438 | + | 1.18583i | −0.0512321 | + | 0.0414870i | ||||
\(818\) | −34.9565 | + | 34.9565i | −1.22223 | + | 1.22223i | ||||
\(819\) | −38.4415 | + | 4.59428i | −1.34325 | + | 0.160537i | ||||
\(820\) | −16.8347 | − | 36.4478i | −0.587892 | − | 1.27281i | ||||
\(821\) | −32.6140 | − | 14.5207i | −1.13824 | − | 0.506775i | −0.250952 | − | 0.968000i | \(-0.580744\pi\) |
−0.887284 | + | 0.461224i | \(0.847410\pi\) | |||||||
\(822\) | −12.1081 | + | 14.9523i | −0.422318 | + | 0.521520i | ||||
\(823\) | −3.07178 | − | 4.73012i | −0.107075 | − | 0.164882i | 0.781071 | − | 0.624442i | \(-0.214674\pi\) |
−0.888146 | + | 0.459560i | \(0.848007\pi\) | |||||||
\(824\) | −11.8882 | − | 20.5909i | −0.414145 | − | 0.717319i | ||||
\(825\) | 3.76755 | − | 1.56696i | 0.131169 | − | 0.0545546i | ||||
\(826\) | 6.36317 | − | 1.44746i | 0.221403 | − | 0.0503637i | ||||
\(827\) | 19.3829 | + | 9.87609i | 0.674010 | + | 0.343425i | 0.757270 | − | 0.653102i | \(-0.226533\pi\) |
−0.0832591 | + | 0.996528i | \(0.526533\pi\) | |||||||
\(828\) | 33.8835 | + | 88.2696i | 1.17753 | + | 3.06758i | ||||
\(829\) | 0.397142 | + | 3.77856i | 0.0137933 | + | 0.131235i | 0.999252 | − | 0.0386833i | \(-0.0123164\pi\) |
−0.985458 | + | 0.169918i | \(0.945650\pi\) | |||||||
\(830\) | −34.2862 | + | 39.1530i | −1.19009 | + | 1.35902i | ||||
\(831\) | −17.7659 | − | 1.86727i | −0.616292 | − | 0.0647749i | ||||
\(832\) | −37.5910 | − | 37.5910i | −1.30323 | − | 1.30323i | ||||
\(833\) | 0.318978 | + | 3.93821i | 0.0110519 | + | 0.136451i | ||||
\(834\) | 17.3048 | + | 5.62266i | 0.599215 | + | 0.194697i | ||||
\(835\) | −5.98640 | + | 6.15412i | −0.207168 | + | 0.212972i | ||||
\(836\) | −2.23473 | + | 10.5136i | −0.0772897 | + | 0.363620i | ||||
\(837\) | −13.1594 | − | 0.689653i | −0.454854 | − | 0.0238379i | ||||
\(838\) | −48.4180 | + | 74.5572i | −1.67257 | + | 2.57554i | ||||
\(839\) | −12.6655 | − | 38.9803i | −0.437260 | − | 1.34575i | −0.890753 | − | 0.454488i | \(-0.849822\pi\) |
0.453492 | − | 0.891260i | \(-0.350178\pi\) | |||||||
\(840\) | 13.2233 | + | 6.27699i | 0.456249 | + | 0.216577i | ||||
\(841\) | 4.80354 | − | 14.7838i | 0.165639 | − | 0.509786i | ||||
\(842\) | 12.5364 | + | 15.4811i | 0.432032 | + | 0.533515i | ||||
\(843\) | 1.99537 | + | 7.44684i | 0.0687243 | + | 0.256483i | ||||
\(844\) | −25.8231 | − | 57.9997i | −0.888869 | − | 1.99643i | ||||
\(845\) | −37.1727 | + | 0.513525i | −1.27878 | + | 0.0176658i | ||||
\(846\) | −45.1733 | − | 62.1757i | −1.55309 | − | 2.13764i | ||||
\(847\) | −13.0493 | − | 19.4816i | −0.448380 | − | 0.669395i | ||||
\(848\) | −3.29535 | + | 6.46748i | −0.113163 | + | 0.222094i | ||||
\(849\) | 6.71700 | − | 3.87806i | 0.230527 | − | 0.133095i | ||||
\(850\) | −5.62387 | − | 3.85321i | −0.192897 | − | 0.132164i | ||||
\(851\) | −32.5583 | + | 56.3926i | −1.11608 | + | 1.93311i | ||||
\(852\) | 10.1865 | − | 0.533853i | 0.348984 | − | 0.0182895i | ||||
\(853\) | 6.26945 | − | 39.5837i | 0.214662 | − | 1.35532i | −0.611212 | − | 0.791467i | \(-0.709318\pi\) |
0.825874 | − | 0.563855i | \(-0.190682\pi\) | |||||||
\(854\) | 64.9903 | − | 22.1439i | 2.22392 | − | 0.757748i | ||||
\(855\) | 7.82893 | + | 8.45701i | 0.267744 | + | 0.289223i | ||||
\(856\) | −1.89120 | + | 17.9936i | −0.0646400 | + | 0.615008i | ||||
\(857\) | −25.8494 | + | 6.92634i | −0.883000 | + | 0.236599i | −0.671701 | − | 0.740822i | \(-0.734436\pi\) |
−0.211299 | + | 0.977421i | \(0.567769\pi\) | |||||||
\(858\) | −10.0170 | − | 3.84518i | −0.341976 | − | 0.131272i | ||||
\(859\) | 13.0472 | − | 2.77327i | 0.445165 | − | 0.0946227i | 0.0201252 | − | 0.999797i | \(-0.493594\pi\) |
0.425040 | + | 0.905175i | \(0.360260\pi\) | |||||||
\(860\) | 0.324812 | − | 8.42238i | 0.0110760 | − | 0.287201i | ||||
\(861\) | 0.0983861 | + | 6.91368i | 0.00335299 | + | 0.235618i | ||||
\(862\) | 7.85111 | + | 15.4087i | 0.267410 | + | 0.524822i | ||||
\(863\) | 7.02056 | + | 4.55920i | 0.238983 | + | 0.155197i | 0.658574 | − | 0.752516i | \(-0.271160\pi\) |
−0.419591 | + | 0.907713i | \(0.637827\pi\) | |||||||
\(864\) | −4.74845 | − | 1.00932i | −0.161546 | − | 0.0343376i | ||||
\(865\) | 4.30003 | − | 3.58157i | 0.146206 | − | 0.121777i | ||||
\(866\) | −10.7962 | − | 50.7921i | −0.366870 | − | 1.72599i | ||||
\(867\) | −1.45664 | − | 9.19688i | −0.0494702 | − | 0.312342i | ||||
\(868\) | −1.60518 | + | 42.0770i | −0.0544835 | + | 1.42819i | ||||
\(869\) | −0.878700 | + | 1.20943i | −0.0298078 | + | 0.0410270i | ||||
\(870\) | −6.62366 | − | 8.85678i | −0.224563 | − | 0.300273i | ||||
\(871\) | −29.0036 | + | 3.04840i | −0.982748 | + | 0.103291i | ||||
\(872\) | 15.5477 | + | 12.5903i | 0.526511 | + | 0.426360i | ||||
\(873\) | 1.12702 | + | 21.5049i | 0.0381440 | + | 0.727830i | ||||
\(874\) | −42.4679 | −1.43650 | ||||||||
\(875\) | −28.9542 | − | 6.05428i | −0.978831 | − | 0.204672i | ||||
\(876\) | 13.1074 | 0.442858 | ||||||||
\(877\) | 2.16539 | + | 41.3180i | 0.0731199 | + | 1.39521i | 0.751128 | + | 0.660157i | \(0.229510\pi\) |
−0.678008 | + | 0.735054i | \(0.737157\pi\) | |||||||
\(878\) | 10.2235 | + | 8.27882i | 0.345026 | + | 0.279397i | ||||
\(879\) | −9.69048 | + | 1.01851i | −0.326852 | + | 0.0343535i | ||||
\(880\) | −5.94611 | − | 7.95080i | −0.200443 | − | 0.268021i | ||||
\(881\) | −23.6682 | + | 32.5764i | −0.797400 | + | 1.09753i | 0.195747 | + | 0.980655i | \(0.437287\pi\) |
−0.993147 | + | 0.116873i | \(0.962713\pi\) | |||||||
\(882\) | 29.6015 | + | 34.4994i | 0.996735 | + | 1.16165i | ||||
\(883\) | 4.81060 | + | 30.3729i | 0.161890 | + | 1.02213i | 0.926131 | + | 0.377201i | \(0.123113\pi\) |
−0.764242 | + | 0.644930i | \(0.776887\pi\) | |||||||
\(884\) | 2.44960 | + | 11.5245i | 0.0823891 | + | 0.387610i | ||||
\(885\) | 0.979286 | − | 0.815663i | 0.0329183 | − | 0.0274182i | ||||
\(886\) | 52.9744 | + | 11.2601i | 1.77971 | + | 0.378289i | ||||
\(887\) | −4.92572 | − | 3.19880i | −0.165390 | − | 0.107405i | 0.459290 | − | 0.888286i | \(-0.348104\pi\) |
−0.624680 | + | 0.780881i | \(0.714770\pi\) | |||||||
\(888\) | 7.97572 | + | 15.6532i | 0.267648 | + | 0.525288i | ||||
\(889\) | 26.8255 | + | 44.9729i | 0.899698 | + | 1.50834i | ||||
\(890\) | 1.88915 | − | 48.9856i | 0.0633243 | − | 1.64200i | ||||
\(891\) | 8.99903 | − | 1.91280i | 0.301479 | − | 0.0640813i | ||||
\(892\) | −55.3967 | − | 21.2648i | −1.85482 | − | 0.711998i | ||||
\(893\) | 21.9145 | − | 5.87196i | 0.733339 | − | 0.196498i | ||||
\(894\) | 0.760143 | − | 7.23228i | 0.0254230 | − | 0.241884i | ||||
\(895\) | 11.0918 | + | 11.9816i | 0.370757 | + | 0.400501i | ||||
\(896\) | −10.5388 | + | 53.2993i | −0.352075 | + | 1.78061i | ||||
\(897\) | 4.35871 | − | 27.5198i | 0.145533 | − | 0.918859i | ||||
\(898\) | 28.2677 | − | 1.48145i | 0.943305 | − | 0.0494365i | ||||
\(899\) | 7.61149 | − | 13.1835i | 0.253857 | − | 0.439694i | ||||
\(900\) | −51.5302 | + | 1.42400i | −1.71767 | + | 0.0474668i | ||||
\(901\) | −1.16832 | + | 0.674529i | −0.0389223 | + | 0.0224718i | ||||
\(902\) | 7.50633 | − | 14.7320i | 0.249934 | − | 0.490522i | ||||
\(903\) | −0.640545 | + | 1.30264i | −0.0213160 | + | 0.0433490i | ||||
\(904\) | −50.1777 | − | 69.0637i | −1.66889 | − | 2.29702i | ||||
\(905\) | 6.82931 | − | 0.0943439i | 0.227014 | − | 0.00313610i | ||||
\(906\) | −8.02268 | − | 18.0192i | −0.266536 | − | 0.598649i | ||||
\(907\) | 6.22641 | + | 23.2373i | 0.206745 | + | 0.771582i | 0.988911 | + | 0.148512i | \(0.0474482\pi\) |
−0.782166 | + | 0.623070i | \(0.785885\pi\) | |||||||
\(908\) | −42.9163 | − | 52.9972i | −1.42423 | − | 1.75877i | ||||
\(909\) | −12.4494 | + | 38.3152i | −0.412920 | + | 1.27084i | ||||
\(910\) | 44.1764 | + | 64.0212i | 1.46443 | + | 2.12228i | ||||
\(911\) | 7.43470 | + | 22.8816i | 0.246323 | + | 0.758103i | 0.995416 | + | 0.0956386i | \(0.0304893\pi\) |
−0.749094 | + | 0.662464i | \(0.769511\pi\) | |||||||
\(912\) | −1.77003 | + | 2.72561i | −0.0586116 | + | 0.0902539i | ||||
\(913\) | −14.0673 | − | 0.737236i | −0.465560 | − | 0.0243989i | ||||
\(914\) | −6.42237 | + | 30.2149i | −0.212433 | + | 0.999420i | ||||
\(915\) | 9.34989 | − | 9.61183i | 0.309098 | − | 0.317757i | ||||
\(916\) | −22.0927 | − | 7.17836i | −0.729964 | − | 0.237180i | ||||
\(917\) | −16.0872 | − | 12.6524i | −0.531247 | − | 0.417820i | ||||
\(918\) | 3.06129 | + | 3.06129i | 0.101038 | + | 0.101038i | ||||
\(919\) | 28.7464 | + | 3.02137i | 0.948258 | + | 0.0996659i | 0.566014 | − | 0.824396i | \(-0.308485\pi\) |
0.382244 | + | 0.924062i | \(0.375151\pi\) | |||||||
\(920\) | 59.8808 | − | 68.3807i | 1.97421 | − | 2.25445i | ||||
\(921\) | 0.524957 | + | 4.99463i | 0.0172979 | + | 0.164579i | ||||
\(922\) | −12.8842 | − | 33.5646i | −0.424319 | − | 1.10539i | ||||
\(923\) | 23.1094 | + | 11.7748i | 0.760654 | + | 0.387572i | ||||
\(924\) | 1.83664 | + | 8.07400i | 0.0604209 | + | 0.265615i | ||||
\(925\) | −23.0961 | − | 26.9629i | −0.759395 | − | 0.886536i | ||||
\(926\) | −18.0680 | − | 31.2948i | −0.593752 | − | 1.02841i | ||||
\(927\) | −7.85426 | − | 12.0945i | −0.257968 | − | 0.397235i | ||||
\(928\) | 3.52930 | − | 4.35832i | 0.115855 | − | 0.143069i | ||||
\(929\) | 29.0557 | + | 12.9364i | 0.953287 | + | 0.424431i | 0.823629 | − | 0.567128i | \(-0.191946\pi\) |
0.129657 | + | 0.991559i | \(0.458612\pi\) | |||||||
\(930\) | 5.24669 | + | 11.3593i | 0.172046 | + | 0.372487i | ||||
\(931\) | −12.6396 | + | 4.50835i | −0.414245 | + | 0.147755i | ||||
\(932\) | −54.2912 | + | 54.2912i | −1.77837 | + | 1.77837i | ||||
\(933\) | 9.53683 | − | 7.72277i | 0.312222 | − | 0.252832i | ||||
\(934\) | 48.5198 | + | 53.8867i | 1.58762 | + | 1.76323i | ||||
\(935\) | −0.122017 | − | 1.84120i | −0.00399038 | − | 0.0602136i | ||||
\(936\) | 48.2003 | + | 43.3998i | 1.57548 | + | 1.41857i | ||||
\(937\) | 10.3960 | − | 5.29702i | 0.339622 | − | 0.173046i | −0.275858 | − | 0.961198i | \(-0.588962\pi\) |
0.615480 | + | 0.788152i | \(0.288962\pi\) | |||||||
\(938\) | 21.9262 | + | 26.3024i | 0.715917 | + | 0.858804i | ||||
\(939\) | 16.6170 | − | 5.39920i | 0.542276 | − | 0.176196i | ||||
\(940\) | −44.8189 | + | 91.0498i | −1.46183 | + | 2.96972i | ||||
\(941\) | −15.3198 | + | 13.7941i | −0.499413 | + | 0.449673i | −0.879932 | − | 0.475100i | \(-0.842412\pi\) |
0.380519 | + | 0.924773i | \(0.375745\pi\) | |||||||
\(942\) | 0.0113652 | − | 0.0296075i | 0.000370299 | − | 0.000964663i | ||||
\(943\) | 41.4727 | + | 11.1126i | 1.35054 | + | 0.361875i | ||||
\(944\) | −2.50878 | − | 1.82274i | −0.0816540 | − | 0.0593251i | ||||
\(945\) | 17.3685 | + | 7.15639i | 0.564998 | + | 0.232797i | ||||
\(946\) | 2.80824 | − | 2.04031i | 0.0913038 | − | 0.0663361i | ||||
\(947\) | −3.72084 | + | 1.42829i | −0.120911 | + | 0.0464134i | −0.418071 | − | 0.908414i | \(-0.637294\pi\) |
0.297160 | + | 0.954828i | \(0.403960\pi\) | |||||||
\(948\) | −1.83576 | + | 1.19216i | −0.0596228 | + | 0.0387195i | ||||
\(949\) | 28.8624 | + | 16.6637i | 0.936914 | + | 0.540927i | ||||
\(950\) | 7.69740 | − | 21.8372i | 0.249737 | − | 0.708492i | ||||
\(951\) | 15.9240i | 0.516370i | ||||||||
\(952\) | 4.61352 | − | 4.74672i | 0.149525 | − | 0.153842i | ||||
\(953\) | 29.6005 | + | 4.68827i | 0.958856 | + | 0.151868i | 0.616197 | − | 0.787592i | \(-0.288673\pi\) |
0.342659 | + | 0.939460i | \(0.388673\pi\) | |||||||
\(954\) | −6.31303 | + | 14.1793i | −0.204392 | + | 0.459072i | ||||
\(955\) | −6.52332 | − | 5.71245i | −0.211090 | − | 0.184851i | ||||
\(956\) | 11.6633 | − | 5.19282i | 0.377217 | − | 0.167948i | ||||
\(957\) | 0.774781 | − | 2.89152i | 0.0250451 | − | 0.0934696i | ||||
\(958\) | −63.1808 | + | 10.0069i | −2.04128 | + | 0.323307i | ||||
\(959\) | 30.8551 | + | 21.7535i | 0.996363 | + | 0.702458i | ||||
\(960\) | 3.31761 | + | 11.7308i | 0.107075 | + | 0.378611i | ||||
\(961\) | 9.21878 | − | 10.2385i | 0.297380 | − | 0.330274i | ||||
\(962\) | −4.88588 | + | 93.2282i | −0.157527 | + | 3.00580i | ||||
\(963\) | −0.574321 | + | 10.9587i | −0.0185072 | + | 0.353139i | ||||
\(964\) | 15.6220 | − | 17.3500i | 0.503151 | − | 0.558806i | ||||
\(965\) | −29.9512 | − | 23.5765i | −0.964162 | − | 0.758954i | ||||
\(966\) | −29.6951 | + | 13.7307i | −0.955423 | + | 0.441777i | ||||
\(967\) | 20.6576 | − | 3.27184i | 0.664304 | − | 0.105215i | 0.184829 | − | 0.982771i | \(-0.440827\pi\) |
0.479475 | + | 0.877555i | \(0.340827\pi\) | |||||||
\(968\) | −10.1672 | + | 37.9445i | −0.326786 | + | 1.21958i | ||||
\(969\) | −0.551796 | + | 0.245676i | −0.0177262 | + | 0.00789223i | ||||
\(970\) | 37.1665 | − | 22.1482i | 1.19334 | − | 0.711135i | ||||
\(971\) | 15.8672 | − | 35.6383i | 0.509203 | − | 1.14369i | −0.457830 | − | 0.889040i | \(-0.651373\pi\) |
0.967034 | − | 0.254649i | \(-0.0819600\pi\) | |||||||
\(972\) | 49.3862 | + | 7.82201i | 1.58406 | + | 0.250891i | ||||
\(973\) | 8.74889 | − | 34.6141i | 0.280477 | − | 1.10968i | ||||
\(974\) | − | 0.144784i | − | 0.00463916i | ||||||
\(975\) | 13.3608 | + | 7.22929i | 0.427888 | + | 0.231523i | ||||
\(976\) | −28.2557 | − | 16.3134i | −0.904444 | − | 0.522181i | ||||
\(977\) | 29.5125 | − | 19.1657i | 0.944189 | − | 0.613164i | 0.0219400 | − | 0.999759i | \(-0.493016\pi\) |
0.922249 | + | 0.386596i | \(0.126349\pi\) | |||||||
\(978\) | 23.0648 | − | 8.85375i | 0.737532 | − | 0.283112i | ||||
\(979\) | 10.7347 | − | 7.79924i | 0.343083 | − | 0.249265i | ||||
\(980\) | 22.0758 | − | 55.8198i | 0.705185 | − | 1.78310i | ||||
\(981\) | 9.81684 | + | 7.13235i | 0.313428 | + | 0.227718i | ||||
\(982\) | −59.9740 | − | 16.0700i | −1.91385 | − | 0.512814i | ||||
\(983\) | 4.04583 | − | 10.5398i | 0.129042 | − | 0.336166i | −0.853804 | − | 0.520595i | \(-0.825710\pi\) |
0.982846 | + | 0.184429i | \(0.0590435\pi\) | |||||||
\(984\) | 8.60842 | − | 7.75105i | 0.274426 | − | 0.247095i | ||||
\(985\) | −11.4601 | + | 6.04006i | −0.365150 | + | 0.192452i | ||||
\(986\) | −4.75658 | + | 1.54551i | −0.151480 | + | 0.0492190i | ||||
\(987\) | 13.4249 | − | 11.1912i | 0.427318 | − | 0.356221i | ||||
\(988\) | −35.6546 | + | 18.1669i | −1.13432 | + | 0.577967i | ||||
\(989\) | 6.69865 | + | 6.03149i | 0.213005 | + | 0.191790i | ||||
\(990\) | −13.5870 | − | 16.3125i | −0.431823 | − | 0.518447i | ||||
\(991\) | −38.4705 | − | 42.7258i | −1.22206 | − | 1.35723i | −0.913923 | − | 0.405887i | \(-0.866962\pi\) |
−0.308133 | − | 0.951343i | \(-0.599704\pi\) | |||||||
\(992\) | −4.93085 | + | 3.99293i | −0.156555 | + | 0.126776i | ||||
\(993\) | 4.44316 | − | 4.44316i | 0.140999 | − | 0.140999i | ||||
\(994\) | −3.61392 | − | 30.2385i | −0.114626 | − | 0.959108i | ||||
\(995\) | 1.36701 | − | 0.162800i | 0.0433372 | − | 0.00516110i | ||||
\(996\) | −18.8425 | − | 8.38924i | −0.597049 | − | 0.265823i | ||||
\(997\) | 3.62378 | − | 4.47499i | 0.114766 | − | 0.141724i | −0.716525 | − | 0.697561i | \(-0.754269\pi\) |
0.831292 | + | 0.555837i | \(0.187602\pi\) | |||||||
\(998\) | −26.6030 | − | 40.9650i | −0.842103 | − | 1.29672i | ||||
\(999\) | 11.2730 | + | 19.5254i | 0.356661 | + | 0.617756i |
(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 | 175.2.x.a.108.17 | yes | 288 | |
5.2 | odd | 4 | 875.2.bb.b.857.2 | 288 | |||
5.3 | odd | 4 | 875.2.bb.a.857.17 | 288 | |||
5.4 | even | 2 | 875.2.bb.c.143.2 | 288 | |||
7.5 | odd | 6 | inner | 175.2.x.a.33.17 | ✓ | 288 | |
25.3 | odd | 20 | 875.2.bb.c.507.2 | 288 | |||
25.4 | even | 10 | 875.2.bb.a.493.2 | 288 | |||
25.21 | even | 5 | 875.2.bb.b.493.17 | 288 | |||
25.22 | odd | 20 | inner | 175.2.x.a.122.17 | yes | 288 | |
35.12 | even | 12 | 875.2.bb.b.607.17 | 288 | |||
35.19 | odd | 6 | 875.2.bb.c.768.2 | 288 | |||
35.33 | even | 12 | 875.2.bb.a.607.2 | 288 | |||
175.47 | even | 60 | inner | 175.2.x.a.47.17 | yes | 288 | |
175.54 | odd | 30 | 875.2.bb.a.243.17 | 288 | |||
175.96 | odd | 30 | 875.2.bb.b.243.2 | 288 | |||
175.103 | even | 60 | 875.2.bb.c.257.2 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.x.a.33.17 | ✓ | 288 | 7.5 | odd | 6 | inner | |
175.2.x.a.47.17 | yes | 288 | 175.47 | even | 60 | inner | |
175.2.x.a.108.17 | yes | 288 | 1.1 | even | 1 | trivial | |
175.2.x.a.122.17 | yes | 288 | 25.22 | odd | 20 | inner | |
875.2.bb.a.243.17 | 288 | 175.54 | odd | 30 | |||
875.2.bb.a.493.2 | 288 | 25.4 | even | 10 | |||
875.2.bb.a.607.2 | 288 | 35.33 | even | 12 | |||
875.2.bb.a.857.17 | 288 | 5.3 | odd | 4 | |||
875.2.bb.b.243.2 | 288 | 175.96 | odd | 30 | |||
875.2.bb.b.493.17 | 288 | 25.21 | even | 5 | |||
875.2.bb.b.607.17 | 288 | 35.12 | even | 12 | |||
875.2.bb.b.857.2 | 288 | 5.2 | odd | 4 | |||
875.2.bb.c.143.2 | 288 | 5.4 | even | 2 | |||
875.2.bb.c.257.2 | 288 | 175.103 | even | 60 | |||
875.2.bb.c.507.2 | 288 | 25.3 | odd | 20 | |||
875.2.bb.c.768.2 | 288 | 35.19 | odd | 6 |