Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [92,2,Mod(7,92)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(92, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 19]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("92.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 92 = 2^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 92.h (of order \(22\), degree \(10\), 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: | \(0.734623698596\) |
Analytic rank: | \(0\) |
Dimension: | \(100\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 11.7 | ||
Character | \(\chi\) | \(=\) | 92.11 |
Dual form | 92.2.h.a.67.7 |
$q$-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 \(\left(\mathbb{Z}/92\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{9}{22}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.429294 | + | 1.34748i | 0.303557 | + | 0.952813i | ||||
\(3\) | −1.65123 | − | 0.237411i | −0.953338 | − | 0.137069i | −0.351943 | − | 0.936021i | \(-0.614479\pi\) |
−0.601395 | + | 0.798952i | \(0.705388\pi\) | |||||||
\(4\) | −1.63141 | + | 1.15693i | −0.815706 | + | 0.578466i | ||||
\(5\) | 0.934364 | + | 3.18215i | 0.417860 | + | 1.42310i | 0.852609 | + | 0.522550i | \(0.175019\pi\) |
−0.434749 | + | 0.900552i | \(0.643163\pi\) | |||||||
\(6\) | −0.388957 | − | 2.32692i | −0.158791 | − | 0.949961i | ||||
\(7\) | 0.148303 | + | 0.171151i | 0.0560533 | + | 0.0646889i | 0.783084 | − | 0.621916i | \(-0.213646\pi\) |
−0.727030 | + | 0.686605i | \(0.759100\pi\) | |||||||
\(8\) | −2.25930 | − | 1.70163i | −0.798784 | − | 0.601618i | ||||
\(9\) | −0.208284 | − | 0.0611576i | −0.0694279 | − | 0.0203859i | ||||
\(10\) | −3.88677 | + | 2.62512i | −1.22911 | + | 0.830135i | ||||
\(11\) | 3.48603 | + | 2.24034i | 1.05108 | + | 0.675487i | 0.947702 | − | 0.319156i | \(-0.103399\pi\) |
0.103376 | + | 0.994642i | \(0.467036\pi\) | |||||||
\(12\) | 2.96851 | − | 1.52305i | 0.856934 | − | 0.439666i | ||||
\(13\) | 3.81497 | − | 4.40271i | 1.05808 | − | 1.22109i | 0.0836287 | − | 0.996497i | \(-0.473349\pi\) |
0.974452 | − | 0.224594i | \(-0.0721055\pi\) | |||||||
\(14\) | −0.166957 | + | 0.273310i | −0.0446211 | + | 0.0730451i | ||||
\(15\) | −0.787372 | − | 5.47629i | −0.203299 | − | 1.41397i | ||||
\(16\) | 1.32301 | − | 3.77487i | 0.330753 | − | 0.943717i | ||||
\(17\) | −0.449525 | + | 0.205291i | −0.109026 | + | 0.0497904i | −0.469181 | − | 0.883102i | \(-0.655451\pi\) |
0.360155 | + | 0.932892i | \(0.382724\pi\) | |||||||
\(18\) | −0.00700629 | − | 0.306913i | −0.00165140 | − | 0.0723401i | ||||
\(19\) | −0.608905 | + | 1.33332i | −0.139692 | + | 0.305884i | −0.966529 | − | 0.256559i | \(-0.917411\pi\) |
0.826836 | + | 0.562443i | \(0.190138\pi\) | |||||||
\(20\) | −5.20587 | − | 4.11041i | −1.16407 | − | 0.919115i | ||||
\(21\) | −0.204249 | − | 0.317818i | −0.0445708 | − | 0.0693536i | ||||
\(22\) | −1.52228 | + | 5.65913i | −0.324551 | + | 1.20653i | ||||
\(23\) | 4.22490 | − | 2.26941i | 0.880952 | − | 0.473206i | ||||
\(24\) | 3.32664 | + | 3.34617i | 0.679047 | + | 0.683034i | ||||
\(25\) | −5.04678 | + | 3.24337i | −1.00936 | + | 0.648674i | ||||
\(26\) | 7.57031 | + | 3.25054i | 1.48466 | + | 0.637483i | ||||
\(27\) | 4.88178 | + | 2.22943i | 0.939498 | + | 0.429054i | ||||
\(28\) | −0.439953 | − | 0.107641i | −0.0831433 | − | 0.0203422i | ||||
\(29\) | −0.299010 | − | 0.654741i | −0.0555248 | − | 0.121582i | 0.879836 | − | 0.475277i | \(-0.157652\pi\) |
−0.935361 | + | 0.353695i | \(0.884925\pi\) | |||||||
\(30\) | 7.04119 | − | 3.41191i | 1.28554 | − | 0.622927i | ||||
\(31\) | −9.23576 | + | 1.32790i | −1.65879 | + | 0.238498i | −0.907069 | − | 0.420981i | \(-0.861686\pi\) |
−0.751723 | + | 0.659479i | \(0.770777\pi\) | |||||||
\(32\) | 5.65453 | + | 0.162207i | 0.999589 | + | 0.0286743i | ||||
\(33\) | −5.22436 | − | 4.52693i | −0.909444 | − | 0.788038i | ||||
\(34\) | −0.469604 | − | 0.517596i | −0.0805365 | − | 0.0887670i | ||||
\(35\) | −0.406059 | + | 0.631840i | −0.0686364 | + | 0.106800i | ||||
\(36\) | 0.410552 | − | 0.141197i | 0.0684253 | − | 0.0235328i | ||||
\(37\) | −1.33496 | + | 4.54647i | −0.219467 | + | 0.747435i | 0.773987 | + | 0.633201i | \(0.218259\pi\) |
−0.993454 | + | 0.114233i | \(0.963559\pi\) | |||||||
\(38\) | −2.05802 | − | 0.248103i | −0.333855 | − | 0.0402476i | ||||
\(39\) | −7.34464 | + | 6.36416i | −1.17608 | + | 1.01908i | ||||
\(40\) | 3.30385 | − | 8.77938i | 0.522384 | − | 1.38814i | ||||
\(41\) | −2.79241 | + | 0.819926i | −0.436101 | + | 0.128051i | −0.492412 | − | 0.870362i | \(-0.663885\pi\) |
0.0563103 | + | 0.998413i | \(0.482066\pi\) | |||||||
\(42\) | 0.340571 | − | 0.411659i | 0.0525512 | − | 0.0635204i | ||||
\(43\) | 0.508752 | − | 3.53845i | 0.0775839 | − | 0.539608i | −0.913548 | − | 0.406730i | \(-0.866669\pi\) |
0.991132 | − | 0.132878i | \(-0.0424219\pi\) | |||||||
\(44\) | −8.27907 | + | 0.378190i | −1.24812 | + | 0.0570144i | ||||
\(45\) | − | 0.719934i | − | 0.107321i | ||||||
\(46\) | 4.87172 | + | 4.71872i | 0.718296 | + | 0.695738i | ||||
\(47\) | − | 6.02195i | − | 0.878392i | −0.898391 | − | 0.439196i | \(-0.855263\pi\) | ||
0.898391 | − | 0.439196i | \(-0.144737\pi\) | |||||||
\(48\) | −3.08080 | + | 5.91908i | −0.444674 | + | 0.854345i | ||||
\(49\) | 0.988905 | − | 6.87799i | 0.141272 | − | 0.982569i | ||||
\(50\) | −6.53694 | − | 5.40809i | −0.924463 | − | 0.764819i | ||||
\(51\) | 0.791007 | − | 0.232261i | 0.110763 | − | 0.0325230i | ||||
\(52\) | −1.13015 | + | 11.5963i | −0.156724 | + | 1.60812i | ||||
\(53\) | 4.56115 | − | 3.95226i | 0.626522 | − | 0.542885i | −0.282693 | − | 0.959210i | \(-0.591228\pi\) |
0.909216 | + | 0.416326i | \(0.136682\pi\) | |||||||
\(54\) | −0.908399 | + | 7.53518i | −0.123617 | + | 1.02541i | ||||
\(55\) | −3.87187 | + | 13.1864i | −0.522083 | + | 1.77805i | ||||
\(56\) | −0.0438253 | − | 0.639038i | −0.00585640 | − | 0.0853951i | ||||
\(57\) | 1.32199 | − | 2.05705i | 0.175101 | − | 0.272463i | ||||
\(58\) | 0.753888 | − | 0.683987i | 0.0989903 | − | 0.0898119i | ||||
\(59\) | 4.34794 | + | 3.76751i | 0.566053 | + | 0.490488i | 0.890232 | − | 0.455508i | \(-0.150542\pi\) |
−0.324178 | + | 0.945996i | \(0.605088\pi\) | |||||||
\(60\) | 7.62023 | + | 8.02315i | 0.983767 | + | 1.03578i | ||||
\(61\) | −9.72972 | + | 1.39892i | −1.24576 | + | 0.179114i | −0.733485 | − | 0.679706i | \(-0.762107\pi\) |
−0.512278 | + | 0.858820i | \(0.671198\pi\) | |||||||
\(62\) | −5.75419 | − | 11.8750i | −0.730782 | − | 1.50812i | ||||
\(63\) | −0.0204219 | − | 0.0447178i | −0.00257292 | − | 0.00563391i | ||||
\(64\) | 2.20889 | + | 7.68901i | 0.276111 | + | 0.961126i | ||||
\(65\) | 17.5746 | + | 8.02607i | 2.17987 | + | 0.995511i | ||||
\(66\) | 3.85717 | − | 8.98311i | 0.474785 | − | 1.10574i | ||||
\(67\) | 10.2383 | − | 6.57976i | 1.25081 | − | 0.803846i | 0.263810 | − | 0.964575i | \(-0.415021\pi\) |
0.986999 | + | 0.160729i | \(0.0513846\pi\) | |||||||
\(68\) | 0.495852 | − | 0.854984i | 0.0601309 | − | 0.103682i | ||||
\(69\) | −7.51506 | + | 2.74429i | −0.904707 | + | 0.330373i | ||||
\(70\) | −1.02571 | − | 0.275911i | −0.122596 | − | 0.0329777i | ||||
\(71\) | −2.54626 | − | 3.96206i | −0.302186 | − | 0.470210i | 0.656640 | − | 0.754204i | \(-0.271977\pi\) |
−0.958826 | + | 0.283993i | \(0.908341\pi\) | |||||||
\(72\) | 0.366508 | + | 0.492596i | 0.0431934 | + | 0.0580530i | ||||
\(73\) | −2.85291 | + | 6.24699i | −0.333907 | + | 0.731155i | −0.999890 | − | 0.0148119i | \(-0.995285\pi\) |
0.665983 | + | 0.745967i | \(0.268012\pi\) | |||||||
\(74\) | −6.69937 | + | 0.152935i | −0.778786 | + | 0.0177783i | ||||
\(75\) | 9.10341 | − | 4.15739i | 1.05117 | − | 0.480054i | ||||
\(76\) | −0.549181 | − | 2.87965i | −0.0629954 | − | 0.330319i | ||||
\(77\) | 0.133554 | + | 0.928886i | 0.0152198 | + | 0.105856i | ||||
\(78\) | −11.7286 | − | 7.16466i | −1.32800 | − | 0.811238i | ||||
\(79\) | 1.34769 | − | 1.55532i | 0.151627 | − | 0.174987i | −0.674854 | − | 0.737951i | \(-0.735794\pi\) |
0.826482 | + | 0.562964i | \(0.190339\pi\) | |||||||
\(80\) | 13.2484 | + | 0.682929i | 1.48121 | + | 0.0763538i | ||||
\(81\) | −6.98379 | − | 4.48821i | −0.775977 | − | 0.498690i | ||||
\(82\) | −2.30360 | − | 3.41073i | −0.254390 | − | 0.376652i | ||||
\(83\) | −6.97591 | − | 2.04831i | −0.765706 | − | 0.224832i | −0.124520 | − | 0.992217i | \(-0.539739\pi\) |
−0.641186 | + | 0.767386i | \(0.721557\pi\) | |||||||
\(84\) | 0.700909 | + | 0.282190i | 0.0764754 | + | 0.0307894i | ||||
\(85\) | −1.07329 | − | 1.23864i | −0.116414 | − | 0.134349i | ||||
\(86\) | 4.98639 | − | 0.833502i | 0.537697 | − | 0.0898788i | ||||
\(87\) | 0.338292 | + | 1.15212i | 0.0362687 | + | 0.123520i | ||||
\(88\) | −4.06377 | − | 10.9935i | −0.433199 | − | 1.17192i | ||||
\(89\) | 14.1914 | + | 2.04041i | 1.50428 | + | 0.216283i | 0.844655 | − | 0.535311i | \(-0.179806\pi\) |
0.659626 | + | 0.751594i | \(0.270715\pi\) | |||||||
\(90\) | 0.970098 | − | 0.309064i | 0.102257 | − | 0.0325782i | ||||
\(91\) | 1.31930 | 0.138300 | ||||||||
\(92\) | −4.26699 | + | 8.59027i | −0.444865 | + | 0.895598i | ||||
\(93\) | 15.5656 | 1.61408 | ||||||||
\(94\) | 8.11447 | − | 2.58519i | 0.836944 | − | 0.266642i | ||||
\(95\) | −4.81175 | − | 0.691826i | −0.493675 | − | 0.0709798i | ||||
\(96\) | −9.29841 | − | 1.61029i | −0.949015 | − | 0.164349i | ||||
\(97\) | −0.265360 | − | 0.903735i | −0.0269433 | − | 0.0917604i | 0.944924 | − | 0.327290i | \(-0.106136\pi\) |
−0.971867 | + | 0.235530i | \(0.924317\pi\) | |||||||
\(98\) | 9.69249 | − | 1.62015i | 0.979089 | − | 0.163660i | ||||
\(99\) | −0.589070 | − | 0.679823i | −0.0592038 | − | 0.0683248i | ||||
\(100\) | 4.48103 | − | 11.1301i | 0.448103 | − | 1.11301i | ||||
\(101\) | −6.24015 | − | 1.83227i | −0.620918 | − | 0.182318i | −0.0438819 | − | 0.999037i | \(-0.513973\pi\) |
−0.577036 | + | 0.816719i | \(0.695791\pi\) | |||||||
\(102\) | 0.652542 | + | 0.966159i | 0.0646113 | + | 0.0956640i | ||||
\(103\) | −13.9976 | − | 8.99568i | −1.37922 | − | 0.886371i | −0.379966 | − | 0.925000i | \(-0.624064\pi\) |
−0.999254 | + | 0.0386294i | \(0.987701\pi\) | |||||||
\(104\) | −16.1109 | + | 3.45537i | −1.57981 | + | 0.338826i | ||||
\(105\) | 0.820502 | − | 0.946910i | 0.0800728 | − | 0.0924089i | ||||
\(106\) | 7.28367 | + | 4.44938i | 0.707453 | + | 0.432162i | ||||
\(107\) | 0.239943 | + | 1.66884i | 0.0231962 | + | 0.161333i | 0.998127 | − | 0.0611749i | \(-0.0194847\pi\) |
−0.974931 | + | 0.222508i | \(0.928576\pi\) | |||||||
\(108\) | −10.5435 | + | 2.01076i | −1.01455 | + | 0.193486i | ||||
\(109\) | 9.26235 | − | 4.22998i | 0.887173 | − | 0.405158i | 0.0809138 | − | 0.996721i | \(-0.474216\pi\) |
0.806259 | + | 0.591563i | \(0.201489\pi\) | |||||||
\(110\) | −19.4306 | + | 0.443566i | −1.85263 | + | 0.0422923i | ||||
\(111\) | 3.28371 | − | 7.19033i | 0.311676 | − | 0.682475i | ||||
\(112\) | 0.842279 | − | 0.333389i | 0.0795878 | − | 0.0315023i | ||||
\(113\) | −0.769424 | − | 1.19725i | −0.0723813 | − | 0.112628i | 0.803176 | − | 0.595742i | \(-0.203142\pi\) |
−0.875557 | + | 0.483114i | \(0.839506\pi\) | |||||||
\(114\) | 3.33936 | + | 0.898271i | 0.312760 | + | 0.0841308i | ||||
\(115\) | 11.1692 | + | 11.3238i | 1.04153 | + | 1.05595i | ||||
\(116\) | 1.24530 | + | 0.722218i | 0.115623 | + | 0.0670562i | ||||
\(117\) | −1.06385 | + | 0.683698i | −0.0983534 | + | 0.0632079i | ||||
\(118\) | −3.21010 | + | 7.47614i | −0.295514 | + | 0.688234i | ||||
\(119\) | −0.101802 | − | 0.0464912i | −0.00933214 | − | 0.00426184i | ||||
\(120\) | −7.53973 | + | 13.7124i | −0.688280 | + | 1.25177i | ||||
\(121\) | 2.56374 | + | 5.61381i | 0.233068 | + | 0.510347i | ||||
\(122\) | −6.06194 | − | 12.5101i | −0.548822 | − | 1.13261i | ||||
\(123\) | 4.80557 | − | 0.690937i | 0.433304 | − | 0.0622997i | ||||
\(124\) | 13.5310 | − | 12.8515i | 1.21512 | − | 1.15410i | ||||
\(125\) | −2.50424 | − | 2.16994i | −0.223986 | − | 0.194085i | ||||
\(126\) | 0.0514894 | − | 0.0467153i | 0.00458704 | − | 0.00416173i | ||||
\(127\) | 5.96025 | − | 9.27434i | 0.528887 | − | 0.822964i | −0.469307 | − | 0.883035i | \(-0.655496\pi\) |
0.998194 | + | 0.0600708i | \(0.0191326\pi\) | |||||||
\(128\) | −9.41253 | + | 6.27728i | −0.831958 | + | 0.554839i | ||||
\(129\) | −1.68013 | + | 5.72200i | −0.147927 | + | 0.503794i | ||||
\(130\) | −3.27028 | + | 27.1271i | −0.286823 | + | 2.37920i | ||||
\(131\) | −12.4602 | + | 10.7968i | −1.08865 | + | 0.943319i | −0.998615 | − | 0.0526195i | \(-0.983243\pi\) |
−0.0900338 | + | 0.995939i | \(0.528698\pi\) | |||||||
\(132\) | 13.7604 | + | 1.34106i | 1.19769 | + | 0.116725i | ||||
\(133\) | −0.318500 | + | 0.0935202i | −0.0276175 | + | 0.00810923i | ||||
\(134\) | 13.2614 | + | 10.9713i | 1.14561 | + | 0.947774i | ||||
\(135\) | −2.53304 | + | 17.6176i | −0.218009 | + | 1.51629i | ||||
\(136\) | 1.36494 | + | 0.301112i | 0.117043 | + | 0.0258201i | ||||
\(137\) | 0.721415i | 0.0616346i | 0.999525 | + | 0.0308173i | \(0.00981101\pi\) | ||||
−0.999525 | + | 0.0308173i | \(0.990189\pi\) | |||||||
\(138\) | −6.92405 | − | 8.94830i | −0.589414 | − | 0.761730i | ||||
\(139\) | 10.8579i | 0.920954i | 0.887672 | + | 0.460477i | \(0.152322\pi\) | ||||
−0.887672 | + | 0.460477i | \(0.847678\pi\) | |||||||
\(140\) | −0.0685466 | − | 1.50057i | −0.00579325 | − | 0.126822i | ||||
\(141\) | −1.42968 | + | 9.94363i | −0.120401 | + | 0.837404i | ||||
\(142\) | 4.24571 | − | 5.13193i | 0.356292 | − | 0.430662i | ||||
\(143\) | 23.1626 | − | 6.80116i | 1.93696 | − | 0.568742i | ||||
\(144\) | −0.506424 | + | 0.705331i | −0.0422020 | + | 0.0587776i | ||||
\(145\) | 1.80410 | − | 1.56326i | 0.149822 | − | 0.129822i | ||||
\(146\) | −9.64244 | − | 1.16244i | −0.798014 | − | 0.0962041i | ||||
\(147\) | −3.26582 | + | 11.1224i | −0.269360 | + | 0.917357i | ||||
\(148\) | −3.08208 | − | 8.96163i | −0.253345 | − | 0.736641i | ||||
\(149\) | −11.8722 | + | 18.4735i | −0.972611 | + | 1.51341i | −0.118740 | + | 0.992925i | \(0.537886\pi\) |
−0.853870 | + | 0.520486i | \(0.825751\pi\) | |||||||
\(150\) | 9.51005 | + | 10.4819i | 0.776492 | + | 0.855846i | ||||
\(151\) | −5.04526 | − | 4.37174i | −0.410577 | − | 0.355767i | 0.424950 | − | 0.905217i | \(-0.360292\pi\) |
−0.835527 | + | 0.549450i | \(0.814837\pi\) | |||||||
\(152\) | 3.64452 | − | 1.97623i | 0.295609 | − | 0.160293i | ||||
\(153\) | 0.106184 | − | 0.0152669i | 0.00858445 | − | 0.00123426i | ||||
\(154\) | −1.19432 | + | 0.578726i | −0.0962412 | + | 0.0466351i | ||||
\(155\) | −12.8552 | − | 28.1489i | −1.03255 | − | 2.26097i | ||||
\(156\) | 4.61922 | − | 18.8798i | 0.369834 | − | 1.51160i | ||||
\(157\) | −17.8415 | − | 8.14792i | −1.42390 | − | 0.650275i | −0.453388 | − | 0.891313i | \(-0.649785\pi\) |
−0.970516 | + | 0.241039i | \(0.922512\pi\) | |||||||
\(158\) | 2.67432 | + | 1.14830i | 0.212758 | + | 0.0913539i | ||||
\(159\) | −8.46982 | + | 5.44322i | −0.671700 | + | 0.431676i | ||||
\(160\) | 4.76722 | + | 18.1451i | 0.376882 | + | 1.43450i | ||||
\(161\) | 1.01498 | + | 0.386533i | 0.0799914 | + | 0.0304631i | ||||
\(162\) | 3.04968 | − | 11.3373i | 0.239605 | − | 0.890742i | ||||
\(163\) | −1.56002 | − | 2.42744i | −0.122190 | − | 0.190132i | 0.774770 | − | 0.632244i | \(-0.217866\pi\) |
−0.896960 | + | 0.442112i | \(0.854229\pi\) | |||||||
\(164\) | 3.60698 | − | 4.56827i | 0.281658 | − | 0.356722i | ||||
\(165\) | 9.52393 | − | 20.8545i | 0.741437 | − | 1.62352i | ||||
\(166\) | −0.234657 | − | 10.2792i | −0.0182129 | − | 0.797824i | ||||
\(167\) | −9.48722 | + | 4.33267i | −0.734143 | + | 0.335272i | −0.747161 | − | 0.664643i | \(-0.768584\pi\) |
0.0130176 | + | 0.999915i | \(0.495856\pi\) | |||||||
\(168\) | −0.0793491 | + | 1.06560i | −0.00612192 | + | 0.0822131i | ||||
\(169\) | −2.97976 | − | 20.7247i | −0.229212 | − | 1.59420i | ||||
\(170\) | 1.20829 | − | 1.97798i | 0.0926714 | − | 0.151704i | ||||
\(171\) | 0.208367 | − | 0.240469i | 0.0159343 | − | 0.0183891i | ||||
\(172\) | 3.26376 | + | 6.36126i | 0.248859 | + | 0.485041i | ||||
\(173\) | −0.735539 | − | 0.472702i | −0.0559220 | − | 0.0359389i | 0.512381 | − | 0.858758i | \(-0.328764\pi\) |
−0.568303 | + | 0.822819i | \(0.692400\pi\) | |||||||
\(174\) | −1.40723 | + | 0.950439i | −0.106682 | + | 0.0720526i | ||||
\(175\) | −1.30356 | − | 0.382759i | −0.0985398 | − | 0.0289339i | ||||
\(176\) | 13.0690 | − | 10.1953i | 0.985116 | − | 0.768501i | ||||
\(177\) | −6.28500 | − | 7.25327i | −0.472409 | − | 0.545189i | ||||
\(178\) | 3.34286 | + | 19.9985i | 0.250558 | + | 1.49895i | ||||
\(179\) | 4.14534 | + | 14.1177i | 0.309838 | + | 1.05521i | 0.956330 | + | 0.292289i | \(0.0944170\pi\) |
−0.646492 | + | 0.762920i | \(0.723765\pi\) | |||||||
\(180\) | 0.832915 | + | 1.17451i | 0.0620818 | + | 0.0875427i | ||||
\(181\) | −0.314564 | − | 0.0452275i | −0.0233814 | − | 0.00336173i | 0.130614 | − | 0.991433i | \(-0.458305\pi\) |
−0.153996 | + | 0.988072i | \(0.549214\pi\) | |||||||
\(182\) | 0.566367 | + | 1.77773i | 0.0419819 | + | 0.131774i | ||||
\(183\) | 16.3981 | 1.21218 | ||||||||
\(184\) | −13.4070 | − | 2.06193i | −0.988379 | − | 0.152008i | ||||
\(185\) | −15.7149 | −1.15538 | ||||||||
\(186\) | 6.68224 | + | 20.9744i | 0.489965 | + | 1.53792i | ||||
\(187\) | −2.02698 | − | 0.291436i | −0.148227 | − | 0.0213119i | ||||
\(188\) | 6.96699 | + | 9.82429i | 0.508120 | + | 0.716510i | ||||
\(189\) | 0.342413 | + | 1.16615i | 0.0249069 | + | 0.0848250i | ||||
\(190\) | −1.13344 | − | 6.78074i | −0.0822281 | − | 0.491927i | ||||
\(191\) | 8.85070 | + | 10.2143i | 0.640414 | + | 0.739077i | 0.979448 | − | 0.201697i | \(-0.0646456\pi\) |
−0.339034 | + | 0.940774i | \(0.610100\pi\) | |||||||
\(192\) | −1.82193 | − | 13.2207i | −0.131486 | − | 0.954124i | ||||
\(193\) | 16.3630 | + | 4.80462i | 1.17784 | + | 0.345844i | 0.811340 | − | 0.584575i | \(-0.198739\pi\) |
0.366498 | + | 0.930419i | \(0.380557\pi\) | |||||||
\(194\) | 1.10385 | − | 0.745537i | 0.0792517 | − | 0.0535264i | ||||
\(195\) | −27.1143 | − | 17.4253i | −1.94169 | − | 1.24785i | ||||
\(196\) | 6.34405 | + | 12.3649i | 0.453147 | + | 0.883209i | ||||
\(197\) | 3.20560 | − | 3.69946i | 0.228390 | − | 0.263576i | −0.629975 | − | 0.776615i | \(-0.716935\pi\) |
0.858365 | + | 0.513039i | \(0.171481\pi\) | |||||||
\(198\) | 0.663164 | − | 1.08561i | 0.0471290 | − | 0.0771506i | ||||
\(199\) | −1.95487 | − | 13.5964i | −0.138577 | − | 0.963824i | −0.933873 | − | 0.357604i | \(-0.883594\pi\) |
0.795296 | − | 0.606221i | \(-0.207315\pi\) | |||||||
\(200\) | 16.9212 | + | 1.26002i | 1.19651 | + | 0.0890971i | ||||
\(201\) | −18.4679 | + | 8.43401i | −1.30263 | + | 0.594889i | ||||
\(202\) | −0.209907 | − | 9.19507i | −0.0147690 | − | 0.646963i | ||||
\(203\) | 0.0677153 | − | 0.148276i | 0.00475268 | − | 0.0104069i | ||||
\(204\) | −1.02175 | + | 1.29405i | −0.0715367 | + | 0.0906019i | ||||
\(205\) | −5.21826 | − | 8.11977i | −0.364459 | − | 0.567109i | ||||
\(206\) | 6.11244 | − | 22.7232i | 0.425874 | − | 1.58320i | ||||
\(207\) | −1.01877 | + | 0.214298i | −0.0708094 | + | 0.0148947i | ||||
\(208\) | −11.5724 | − | 20.2258i | −0.802400 | − | 1.40241i | ||||
\(209\) | −5.10974 | + | 3.28383i | −0.353448 | + | 0.227147i | ||||
\(210\) | 1.62818 | + | 0.699108i | 0.112355 | + | 0.0482430i | ||||
\(211\) | 12.7533 | + | 5.82424i | 0.877974 | + | 0.400957i | 0.802825 | − | 0.596215i | \(-0.203330\pi\) |
0.0751489 | + | 0.997172i | \(0.476057\pi\) | |||||||
\(212\) | −2.86862 | + | 11.7247i | −0.197018 | + | 0.805257i | ||||
\(213\) | 3.26383 | + | 7.14679i | 0.223634 | + | 0.489690i | ||||
\(214\) | −2.14573 | + | 1.03974i | −0.146679 | + | 0.0710755i | ||||
\(215\) | 11.7352 | − | 1.68727i | 0.800336 | − | 0.115071i | ||||
\(216\) | −7.23573 | − | 13.3440i | −0.492329 | − | 0.907941i | ||||
\(217\) | −1.59696 | − | 1.38378i | −0.108409 | − | 0.0939368i | ||||
\(218\) | 9.67609 | + | 10.6649i | 0.655348 | + | 0.722321i | ||||
\(219\) | 6.19391 | − | 9.63791i | 0.418545 | − | 0.651269i | ||||
\(220\) | −8.93913 | − | 25.9919i | −0.602676 | − | 1.75237i | ||||
\(221\) | −0.811086 | + | 2.76230i | −0.0545595 | + | 0.185813i | ||||
\(222\) | 11.0985 | + | 1.33797i | 0.744883 | + | 0.0897989i | ||||
\(223\) | 6.13470 | − | 5.31575i | 0.410810 | − | 0.355969i | −0.424805 | − | 0.905285i | \(-0.639657\pi\) |
0.835615 | + | 0.549316i | \(0.185112\pi\) | |||||||
\(224\) | 0.810822 | + | 0.991833i | 0.0541753 | + | 0.0662696i | ||||
\(225\) | 1.24952 | − | 0.366892i | 0.0833013 | − | 0.0244595i | ||||
\(226\) | 1.28296 | − | 1.55076i | 0.0853411 | − | 0.103155i | ||||
\(227\) | −2.87711 | + | 20.0108i | −0.190961 | + | 1.32816i | 0.638511 | + | 0.769613i | \(0.279551\pi\) |
−0.829472 | + | 0.558549i | \(0.811358\pi\) | |||||||
\(228\) | 0.223164 | + | 4.88535i | 0.0147794 | + | 0.323540i | ||||
\(229\) | 8.45120i | 0.558471i | 0.960223 | + | 0.279235i | \(0.0900810\pi\) | ||||
−0.960223 | + | 0.279235i | \(0.909919\pi\) | |||||||
\(230\) | −10.4637 | + | 19.9116i | −0.689958 | + | 1.31293i | ||||
\(231\) | − | 1.56551i | − | 0.103003i | ||||||
\(232\) | −0.438575 | + | 1.98806i | −0.0287938 | + | 0.130523i | ||||
\(233\) | −0.00171763 | + | 0.0119464i | −0.000112525 | + | 0.000782632i | −0.989878 | − | 0.141924i | \(-0.954671\pi\) |
0.989765 | + | 0.142706i | \(0.0455804\pi\) | |||||||
\(234\) | −1.37798 | − | 1.14002i | −0.0900812 | − | 0.0745252i | ||||
\(235\) | 19.1628 | − | 5.62670i | 1.25004 | − | 0.367045i | ||||
\(236\) | −11.4520 | − | 1.11609i | −0.745464 | − | 0.0726514i | ||||
\(237\) | −2.59460 | + | 2.24823i | −0.168537 | + | 0.146038i | ||||
\(238\) | 0.0189432 | − | 0.157134i | 0.00122791 | − | 0.0101855i | ||||
\(239\) | −1.03134 | + | 3.51242i | −0.0667118 | + | 0.227200i | −0.986100 | − | 0.166151i | \(-0.946866\pi\) |
0.919388 | + | 0.393351i | \(0.128684\pi\) | |||||||
\(240\) | −21.7140 | − | 4.27298i | −1.40163 | − | 0.275820i | ||||
\(241\) | 5.51958 | − | 8.58863i | 0.355547 | − | 0.553242i | −0.616700 | − | 0.787198i | \(-0.711531\pi\) |
0.972247 | + | 0.233956i | \(0.0751672\pi\) | |||||||
\(242\) | −6.46391 | + | 5.86458i | −0.415516 | + | 0.376989i | ||||
\(243\) | −1.70149 | − | 1.47435i | −0.109150 | − | 0.0945793i | ||||
\(244\) | 14.2547 | − | 13.5388i | 0.912565 | − | 0.866736i | ||||
\(245\) | 22.8108 | − | 3.27970i | 1.45733 | − | 0.209532i | ||||
\(246\) | 2.99403 | + | 6.17880i | 0.190892 | + | 0.393946i | ||||
\(247\) | 3.54725 | + | 7.76738i | 0.225706 | + | 0.494227i | ||||
\(248\) | 23.1260 | + | 12.7158i | 1.46850 | + | 0.807451i | ||||
\(249\) | 11.0325 | + | 5.03839i | 0.699159 | + | 0.319295i | ||||
\(250\) | 1.84889 | − | 4.30596i | 0.116934 | − | 0.272333i | ||||
\(251\) | 8.50515 | − | 5.46593i | 0.536840 | − | 0.345006i | −0.243962 | − | 0.969785i | \(-0.578447\pi\) |
0.780802 | + | 0.624779i | \(0.214811\pi\) | |||||||
\(252\) | 0.0850520 | + | 0.0493264i | 0.00535777 | + | 0.00310727i | ||||
\(253\) | 19.8124 | + | 1.55394i | 1.24559 | + | 0.0976954i | ||||
\(254\) | 15.0557 | + | 4.04991i | 0.944679 | + | 0.254114i | ||||
\(255\) | 1.47818 | + | 2.30009i | 0.0925670 | + | 0.144037i | ||||
\(256\) | −12.4993 | − | 9.98841i | −0.781204 | − | 0.624275i | ||||
\(257\) | −5.11757 | + | 11.2059i | −0.319225 | + | 0.699006i | −0.999421 | − | 0.0340247i | \(-0.989168\pi\) |
0.680196 | + | 0.733031i | \(0.261895\pi\) | |||||||
\(258\) | −8.43156 | + | 0.192478i | −0.524926 | + | 0.0119831i | ||||
\(259\) | −0.976110 | + | 0.445775i | −0.0606525 | + | 0.0276991i | ||||
\(260\) | −37.9571 | + | 7.23884i | −2.35400 | + | 0.448934i | ||||
\(261\) | 0.0222365 | + | 0.154659i | 0.00137641 | + | 0.00957313i | ||||
\(262\) | −19.8975 | − | 12.1548i | −1.22927 | − | 0.750928i | ||||
\(263\) | −13.2929 | + | 15.3408i | −0.819675 | + | 0.945955i | −0.999286 | − | 0.0377828i | \(-0.987970\pi\) |
0.179611 | + | 0.983738i | \(0.442516\pi\) | |||||||
\(264\) | 4.10022 | + | 19.1176i | 0.252351 | + | 1.17661i | ||||
\(265\) | 16.8385 | + | 10.8214i | 1.03438 | + | 0.664755i | ||||
\(266\) | −0.262747 | − | 0.389026i | −0.0161101 | − | 0.0238527i | ||||
\(267\) | −22.9488 | − | 6.73837i | −1.40444 | − | 0.412381i | ||||
\(268\) | −9.09056 | + | 22.5793i | −0.555294 | + | 1.37925i | ||||
\(269\) | 2.05592 | + | 2.37266i | 0.125352 | + | 0.144664i | 0.814956 | − | 0.579523i | \(-0.196761\pi\) |
−0.689604 | + | 0.724186i | \(0.742216\pi\) | |||||||
\(270\) | −24.8269 | + | 4.14994i | −1.51092 | + | 0.252557i | ||||
\(271\) | 0.293217 | + | 0.998607i | 0.0178117 | + | 0.0606610i | 0.967919 | − | 0.251261i | \(-0.0808453\pi\) |
−0.950108 | + | 0.311922i | \(0.899027\pi\) | |||||||
\(272\) | 0.180219 | + | 1.96850i | 0.0109274 | + | 0.119358i | ||||
\(273\) | −2.17846 | − | 0.313216i | −0.131847 | − | 0.0189567i | ||||
\(274\) | −0.972093 | + | 0.309699i | −0.0587263 | + | 0.0187096i | ||||
\(275\) | −24.8595 | −1.49908 | ||||||||
\(276\) | 9.08521 | − | 13.1715i | 0.546865 | − | 0.792830i | ||||
\(277\) | −9.66266 | −0.580573 | −0.290287 | − | 0.956940i | \(-0.593751\pi\) | ||||
−0.290287 | + | 0.956940i | \(0.593751\pi\) | |||||||
\(278\) | −14.6308 | + | 4.66123i | −0.877498 | + | 0.279562i | ||||
\(279\) | 2.00487 | + | 0.288257i | 0.120028 | + | 0.0172575i | ||||
\(280\) | 1.99257 | − | 0.736553i | 0.119079 | − | 0.0440175i | ||||
\(281\) | −6.70438 | − | 22.8330i | −0.399950 | − | 1.36210i | −0.875841 | − | 0.482600i | \(-0.839692\pi\) |
0.475891 | − | 0.879504i | \(-0.342126\pi\) | |||||||
\(282\) | −14.0126 | + | 2.34228i | −0.834439 | + | 0.139481i | ||||
\(283\) | −12.0743 | − | 13.9345i | −0.717741 | − | 0.828318i | 0.273292 | − | 0.961931i | \(-0.411887\pi\) |
−0.991034 | + | 0.133614i | \(0.957342\pi\) | |||||||
\(284\) | 8.73785 | + | 3.51790i | 0.518496 | + | 0.208749i | ||||
\(285\) | 7.78106 | + | 2.28473i | 0.460910 | + | 0.135335i | ||||
\(286\) | 19.1080 | + | 28.2915i | 1.12988 | + | 1.67291i | ||||
\(287\) | −0.554454 | − | 0.356326i | −0.0327284 | − | 0.0210333i | ||||
\(288\) | −1.16783 | − | 0.379603i | −0.0688148 | − | 0.0223683i | ||||
\(289\) | −10.9727 | + | 12.6632i | −0.645453 | + | 0.744893i | ||||
\(290\) | 2.88096 | + | 1.75989i | 0.169176 | + | 0.103344i | ||||
\(291\) | 0.223614 | + | 1.55527i | 0.0131085 | + | 0.0911717i | ||||
\(292\) | −2.57308 | − | 13.4920i | −0.150578 | − | 0.789562i | ||||
\(293\) | 18.5780 | − | 8.48429i | 1.08534 | − | 0.495658i | 0.209277 | − | 0.977856i | \(-0.432889\pi\) |
0.876062 | + | 0.482199i | \(0.160162\pi\) | |||||||
\(294\) | −16.3892 | + | 0.374136i | −0.955836 | + | 0.0218200i | ||||
\(295\) | −7.92623 | + | 17.3560i | −0.461483 | + | 1.01051i | ||||
\(296\) | 10.7525 | − | 8.00022i | 0.624977 | − | 0.465003i | ||||
\(297\) | 12.0233 | + | 18.7087i | 0.697665 | + | 1.08559i | ||||
\(298\) | −29.9894 | − | 8.06701i | −1.73724 | − | 0.467310i | ||||
\(299\) | 6.12627 | − | 27.2587i | 0.354292 | − | 1.57641i | ||||
\(300\) | −10.0416 | + | 17.3145i | −0.579752 | + | 0.999650i | ||||
\(301\) | 0.681057 | − | 0.437689i | 0.0392555 | − | 0.0252280i | ||||
\(302\) | 3.72494 | − | 8.67515i | 0.214346 | − | 0.499199i | ||||
\(303\) | 9.86891 | + | 4.50698i | 0.566954 | + | 0.258919i | ||||
\(304\) | 4.22750 | + | 4.06253i | 0.242464 | + | 0.233002i | ||||
\(305\) | −13.5427 | − | 29.6543i | −0.775452 | − | 1.69800i | ||||
\(306\) | 0.0661560 | + | 0.136527i | 0.00378189 | + | 0.00780471i | ||||
\(307\) | −3.69491 | + | 0.531248i | −0.210880 | + | 0.0303199i | −0.246945 | − | 0.969030i | \(-0.579427\pi\) |
0.0360652 | + | 0.999349i | \(0.488518\pi\) | |||||||
\(308\) | −1.29254 | − | 1.36088i | −0.0736492 | − | 0.0775435i | ||||
\(309\) | 20.9775 | + | 18.1771i | 1.19337 | + | 1.03406i | ||||
\(310\) | 32.4114 | − | 29.4062i | 1.84084 | − | 1.67016i | ||||
\(311\) | 9.86340 | − | 15.3477i | 0.559302 | − | 0.870291i | −0.440318 | − | 0.897842i | \(-0.645134\pi\) |
0.999620 | + | 0.0275508i | \(0.00877080\pi\) | |||||||
\(312\) | 27.4232 | − | 1.88069i | 1.55253 | − | 0.106473i | ||||
\(313\) | −2.31132 | + | 7.87163i | −0.130644 | + | 0.444931i | −0.998668 | − | 0.0515898i | \(-0.983571\pi\) |
0.868025 | + | 0.496521i | \(0.165389\pi\) | |||||||
\(314\) | 3.31993 | − | 27.5389i | 0.187355 | − | 1.55411i | ||||
\(315\) | 0.123217 | − | 0.106768i | 0.00694250 | − | 0.00601571i | ||||
\(316\) | −0.399242 | + | 4.09656i | −0.0224591 | + | 0.230449i | ||||
\(317\) | 7.02989 | − | 2.06416i | 0.394838 | − | 0.115935i | −0.0782855 | − | 0.996931i | \(-0.524945\pi\) |
0.473124 | + | 0.880996i | \(0.343126\pi\) | |||||||
\(318\) | −10.9707 | − | 9.07618i | −0.615206 | − | 0.508967i | ||||
\(319\) | 0.424481 | − | 2.95233i | 0.0237664 | − | 0.165299i | ||||
\(320\) | −22.4037 | + | 14.2133i | −1.25240 | + | 0.794550i | ||||
\(321\) | − | 2.81261i | − | 0.156985i | ||||||
\(322\) | −0.0851227 | + | 1.53360i | −0.00474370 | + | 0.0854641i | ||||
\(323\) | − | 0.724361i | − | 0.0403045i | ||||||
\(324\) | 16.5860 | − | 0.757653i | 0.921444 | − | 0.0420918i | ||||
\(325\) | −4.97370 | + | 34.5929i | −0.275891 | + | 1.91887i | ||||
\(326\) | 2.60122 | − | 3.14419i | 0.144068 | − | 0.174140i | ||||
\(327\) | −16.2985 | + | 4.78568i | −0.901310 | + | 0.264648i | ||||
\(328\) | 7.70411 | + | 2.89920i | 0.425388 | + | 0.160082i | ||||
\(329\) | 1.03066 | − | 0.893074i | 0.0568222 | − | 0.0492367i | ||||
\(330\) | 32.1896 | + | 3.88060i | 1.77198 | + | 0.213620i | ||||
\(331\) | −5.52944 | + | 18.8316i | −0.303926 | + | 1.03508i | 0.655986 | + | 0.754773i | \(0.272253\pi\) |
−0.959912 | + | 0.280303i | \(0.909565\pi\) | |||||||
\(332\) | 13.7504 | − | 4.72902i | 0.754649 | − | 0.259539i | ||||
\(333\) | 0.556102 | − | 0.865312i | 0.0304742 | − | 0.0474188i | ||||
\(334\) | −9.91100 | − | 10.9239i | −0.542306 | − | 0.597727i | ||||
\(335\) | 30.5041 | + | 26.4320i | 1.66662 | + | 1.44413i | ||||
\(336\) | −1.46995 | + | 0.350536i | −0.0801921 | + | 0.0191233i | ||||
\(337\) | −7.17700 | + | 1.03190i | −0.390956 | + | 0.0562110i | −0.334990 | − | 0.942222i | \(-0.608733\pi\) |
−0.0559660 | + | 0.998433i | \(0.517824\pi\) | |||||||
\(338\) | 26.6469 | − | 12.9121i | 1.44940 | − | 0.702328i | ||||
\(339\) | 0.986256 | + | 2.15960i | 0.0535661 | + | 0.117293i | ||||
\(340\) | 3.18400 | + | 0.779011i | 0.172676 | + | 0.0422478i | ||||
\(341\) | −35.1711 | − | 16.0621i | −1.90462 | − | 0.869812i | ||||
\(342\) | 0.413478 | + | 0.177539i | 0.0223583 | + | 0.00960023i | ||||
\(343\) | 2.65743 | − | 1.70783i | 0.143488 | − | 0.0922140i | ||||
\(344\) | −7.17056 | + | 7.12871i | −0.386611 | + | 0.384354i | ||||
\(345\) | −15.7545 | − | 21.3499i | −0.848196 | − | 1.14944i | ||||
\(346\) | 0.321195 | − | 1.19405i | 0.0172675 | − | 0.0641927i | ||||
\(347\) | −11.1039 | − | 17.2780i | −0.596089 | − | 0.927532i | −0.999919 | − | 0.0126982i | \(-0.995958\pi\) |
0.403831 | − | 0.914834i | \(-0.367678\pi\) | |||||||
\(348\) | −1.88481 | − | 1.48820i | −0.101037 | − | 0.0797756i | ||||
\(349\) | 7.29006 | − | 15.9630i | 0.390228 | − | 0.854480i | −0.607940 | − | 0.793983i | \(-0.708004\pi\) |
0.998168 | − | 0.0604973i | \(-0.0192687\pi\) | |||||||
\(350\) | −0.0438493 | − | 1.92084i | −0.00234385 | − | 0.102673i | ||||
\(351\) | 28.4393 | − | 12.9878i | 1.51798 | − | 0.693238i | ||||
\(352\) | 19.3485 | + | 13.2335i | 1.03128 | + | 0.705348i | ||||
\(353\) | 3.14653 | + | 21.8846i | 0.167473 | + | 1.16480i | 0.884084 | + | 0.467328i | \(0.154783\pi\) |
−0.716611 | + | 0.697473i | \(0.754308\pi\) | |||||||
\(354\) | 7.07554 | − | 11.5827i | 0.376061 | − | 0.615614i | ||||
\(355\) | 10.2287 | − | 11.8046i | 0.542886 | − | 0.626523i | ||||
\(356\) | −25.5126 | + | 13.0897i | −1.35216 | + | 0.693752i | ||||
\(357\) | 0.157060 | + | 0.100937i | 0.00831251 | + | 0.00534213i | ||||
\(358\) | −17.2438 | + | 11.6464i | −0.911364 | + | 0.615534i | ||||
\(359\) | 1.98261 | + | 0.582148i | 0.104638 | + | 0.0307246i | 0.333633 | − | 0.942703i | \(-0.391726\pi\) |
−0.228994 | + | 0.973428i | \(0.573544\pi\) | |||||||
\(360\) | −1.22506 | + | 1.62655i | −0.0645665 | + | 0.0857266i | ||||
\(361\) | 11.0354 | + | 12.7355i | 0.580810 | + | 0.670290i | ||||
\(362\) | −0.0740975 | − | 0.443285i | −0.00389448 | − | 0.0232986i | ||||
\(363\) | −2.90055 | − | 9.87836i | −0.152239 | − | 0.518479i | ||||
\(364\) | −2.15232 | + | 1.52634i | −0.112812 | + | 0.0800018i | ||||
\(365\) | −22.5445 | − | 3.24141i | −1.18003 | − | 0.169663i | ||||
\(366\) | 7.03962 | + | 22.0962i | 0.367967 | + | 1.15498i | ||||
\(367\) | 11.7631 | 0.614031 | 0.307015 | − | 0.951705i | \(-0.400670\pi\) | ||||
0.307015 | + | 0.951705i | \(0.400670\pi\) | |||||||
\(368\) | −2.97714 | − | 18.9509i | −0.155194 | − | 0.987884i | ||||
\(369\) | 0.631759 | 0.0328880 | ||||||||
\(370\) | −6.74631 | − | 21.1755i | −0.350724 | − | 1.10086i | ||||
\(371\) | 1.35286 | + | 0.194513i | 0.0702372 | + | 0.0100986i | ||||
\(372\) | −25.3940 | + | 18.0084i | −1.31662 | + | 0.933691i | ||||
\(373\) | −10.6300 | − | 36.2024i | −0.550399 | − | 1.87449i | −0.480626 | − | 0.876926i | \(-0.659591\pi\) |
−0.0697734 | − | 0.997563i | \(-0.522228\pi\) | |||||||
\(374\) | −0.477467 | − | 2.85643i | −0.0246892 | − | 0.147702i | ||||
\(375\) | 3.61991 | + | 4.17760i | 0.186931 | + | 0.215730i | ||||
\(376\) | −10.2472 | + | 13.6054i | −0.528457 | + | 0.701645i | ||||
\(377\) | −4.02334 | − | 1.18136i | −0.207213 | − | 0.0608432i | ||||
\(378\) | −1.42437 | + | 0.962017i | −0.0732617 | + | 0.0494808i | ||||
\(379\) | 12.1796 | + | 7.82734i | 0.625623 | + | 0.402063i | 0.814687 | − | 0.579901i | \(-0.196909\pi\) |
−0.189064 | + | 0.981965i | \(0.560545\pi\) | |||||||
\(380\) | 8.65035 | − | 4.43822i | 0.443754 | − | 0.227676i | ||||
\(381\) | −12.0436 | + | 13.8990i | −0.617011 | + | 0.712069i | ||||
\(382\) | −9.96396 | + | 16.3111i | −0.509801 | + | 0.834547i | ||||
\(383\) | −1.64015 | − | 11.4075i | −0.0838078 | − | 0.582896i | −0.987845 | − | 0.155442i | \(-0.950320\pi\) |
0.904037 | − | 0.427454i | \(-0.140589\pi\) | |||||||
\(384\) | 17.0325 | − | 8.13060i | 0.869188 | − | 0.414913i | ||||
\(385\) | −2.83107 | + | 1.29290i | −0.144285 | + | 0.0658925i | ||||
\(386\) | 0.550423 | + | 24.1115i | 0.0280158 | + | 1.22724i | ||||
\(387\) | −0.322368 | + | 0.705887i | −0.0163869 | + | 0.0358822i | ||||
\(388\) | 1.47847 | + | 1.16736i | 0.0750581 | + | 0.0592637i | ||||
\(389\) | −17.1025 | − | 26.6120i | −0.867131 | − | 1.34928i | −0.936126 | − | 0.351664i | \(-0.885616\pi\) |
0.0689956 | − | 0.997617i | \(-0.478021\pi\) | |||||||
\(390\) | 11.8403 | − | 44.0166i | 0.599554 | − | 2.22887i | ||||
\(391\) | −1.43331 | + | 1.88749i | −0.0724854 | + | 0.0954546i | ||||
\(392\) | −13.9380 | + | 13.8567i | −0.703978 | + | 0.699869i | ||||
\(393\) | 23.1378 | − | 14.8698i | 1.16715 | − | 0.750082i | ||||
\(394\) | 6.36110 | + | 2.73133i | 0.320468 | + | 0.137602i | ||||
\(395\) | 6.20850 | + | 2.83533i | 0.312383 | + | 0.142661i | ||||
\(396\) | 1.74753 | + | 0.427558i | 0.0878165 | + | 0.0214856i | ||||
\(397\) | 6.67961 | + | 14.6263i | 0.335240 | + | 0.734073i | 0.999915 | − | 0.0130597i | \(-0.00415716\pi\) |
−0.664675 | + | 0.747133i | \(0.731430\pi\) | |||||||
\(398\) | 17.4817 | − | 8.47102i | 0.876279 | − | 0.424614i | ||||
\(399\) | 0.548120 | − | 0.0788078i | 0.0274403 | − | 0.00394532i | ||||
\(400\) | 5.56634 | + | 23.3420i | 0.278317 | + | 1.16710i | ||||
\(401\) | −0.720019 | − | 0.623900i | −0.0359560 | − | 0.0311561i | 0.636697 | − | 0.771114i | \(-0.280300\pi\) |
−0.672653 | + | 0.739958i | \(0.734845\pi\) | |||||||
\(402\) | −19.2928 | − | 21.2645i | −0.962239 | − | 1.06058i | ||||
\(403\) | −29.3878 | + | 45.7282i | −1.46391 | + | 2.27789i | ||||
\(404\) | 12.3001 | − | 4.23024i | 0.611951 | − | 0.210462i | ||||
\(405\) | 7.75676 | − | 26.4171i | 0.385437 | − | 1.31268i | ||||
\(406\) | 0.228869 | + | 0.0275911i | 0.0113586 | + | 0.00136932i | ||||
\(407\) | −14.8393 | + | 12.8584i | −0.735559 | + | 0.637365i | ||||
\(408\) | −2.18235 | − | 0.821257i | −0.108042 | − | 0.0406583i | ||||
\(409\) | 4.14518 | − | 1.21713i | 0.204966 | − | 0.0601834i | −0.177638 | − | 0.984096i | \(-0.556846\pi\) |
0.382604 | + | 0.923912i | \(0.375027\pi\) | |||||||
\(410\) | 8.70107 | − | 10.5173i | 0.429715 | − | 0.519411i | ||||
\(411\) | 0.171272 | − | 1.19122i | 0.00844821 | − | 0.0587586i | ||||
\(412\) | 33.2432 | − | 1.51856i | 1.63777 | − | 0.0748140i | ||||
\(413\) | 1.30289i | 0.0641108i | ||||||||
\(414\) | −0.726114 | − | 1.28078i | −0.0356866 | − | 0.0629467i | ||||
\(415\) | − | 24.1123i | − | 1.18363i | ||||||
\(416\) | 22.2860 | − | 24.2764i | 1.09266 | − | 1.19025i | ||||
\(417\) | 2.57778 | − | 17.9289i | 0.126235 | − | 0.877981i | ||||
\(418\) | −6.61848 | − | 5.47555i | −0.323721 | − | 0.267818i | ||||
\(419\) | −17.9501 | + | 5.27063i | −0.876920 | + | 0.257487i | −0.689056 | − | 0.724708i | \(-0.741975\pi\) |
−0.187864 | + | 0.982195i | \(0.560156\pi\) | |||||||
\(420\) | −0.243066 | + | 2.49407i | −0.0118604 | + | 0.121698i | ||||
\(421\) | −5.24002 | + | 4.54050i | −0.255383 | + | 0.221290i | −0.773137 | − | 0.634239i | \(-0.781314\pi\) |
0.517754 | + | 0.855529i | \(0.326768\pi\) | |||||||
\(422\) | −2.37313 | + | 19.6852i | −0.115522 | + | 0.958258i | ||||
\(423\) | −0.368288 | + | 1.25427i | −0.0179068 | + | 0.0609849i | ||||
\(424\) | −17.0303 | + | 1.16794i | −0.827065 | + | 0.0567202i | ||||
\(425\) | 1.60282 | − | 2.49404i | 0.0777482 | − | 0.120978i | ||||
\(426\) | −8.22902 | + | 7.46602i | −0.398697 | + | 0.361730i | ||||
\(427\) | −1.68237 | − | 1.45778i | −0.0814157 | − | 0.0705471i | ||||
\(428\) | −2.32219 | − | 2.44497i | −0.112247 | − | 0.118182i | ||||
\(429\) | −39.8615 | + | 5.73122i | −1.92453 | + | 0.276706i | ||||
\(430\) | 7.31144 | + | 15.0887i | 0.352589 | + | 0.727640i | ||||
\(431\) | 1.44075 | + | 3.15481i | 0.0693987 | + | 0.151962i | 0.941152 | − | 0.337982i | \(-0.109744\pi\) |
−0.871754 | + | 0.489944i | \(0.837017\pi\) | |||||||
\(432\) | 14.8745 | − | 15.4785i | 0.715648 | − | 0.744709i | ||||
\(433\) | −1.08463 | − | 0.495333i | −0.0521239 | − | 0.0238042i | 0.389183 | − | 0.921161i | \(-0.372758\pi\) |
−0.441306 | + | 0.897356i | \(0.645485\pi\) | |||||||
\(434\) | 1.17905 | − | 2.74592i | 0.0565960 | − | 0.131809i | ||||
\(435\) | −3.35012 | + | 2.15299i | −0.160626 | + | 0.103228i | ||||
\(436\) | −10.2169 | + | 17.6168i | −0.489302 | + | 0.843690i | ||||
\(437\) | 0.453286 | + | 7.01498i | 0.0216836 | + | 0.335572i | ||||
\(438\) | 15.6459 | + | 4.20867i | 0.747591 | + | 0.201098i | ||||
\(439\) | −8.76184 | − | 13.6337i | −0.418180 | − | 0.650701i | 0.566703 | − | 0.823922i | \(-0.308219\pi\) |
−0.984883 | + | 0.173222i | \(0.944582\pi\) | |||||||
\(440\) | 31.1861 | − | 23.2035i | 1.48674 | − | 1.10618i | ||||
\(441\) | −0.626614 | + | 1.37209i | −0.0298388 | + | 0.0653378i | ||||
\(442\) | −4.07035 | + | 0.0929189i | −0.193607 | + | 0.00441970i | ||||
\(443\) | −24.8880 | + | 11.3660i | −1.18246 | + | 0.540013i | −0.906931 | − | 0.421278i | \(-0.861582\pi\) |
−0.275533 | + | 0.961292i | \(0.588854\pi\) | |||||||
\(444\) | 2.96163 | + | 15.5294i | 0.140553 | + | 0.736994i | ||||
\(445\) | 6.76700 | + | 47.0655i | 0.320787 | + | 2.23112i | ||||
\(446\) | 9.79646 | + | 5.98437i | 0.463876 | + | 0.283368i | ||||
\(447\) | 23.9896 | − | 27.6855i | 1.13467 | − | 1.30948i | ||||
\(448\) | −0.988395 | + | 1.51836i | −0.0466973 | + | 0.0717355i | ||||
\(449\) | −15.7819 | − | 10.1424i | −0.744793 | − | 0.478649i | 0.112388 | − | 0.993664i | \(-0.464150\pi\) |
−0.857181 | + | 0.515015i | \(0.827786\pi\) | |||||||
\(450\) | 1.03079 | + | 1.52620i | 0.0485920 | + | 0.0719458i | ||||
\(451\) | −11.5713 | − | 3.39765i | −0.544873 | − | 0.159989i | ||||
\(452\) | 2.64038 | + | 1.06303i | 0.124193 | + | 0.0500008i | ||||
\(453\) | 7.29298 | + | 8.41654i | 0.342654 | + | 0.395444i | ||||
\(454\) | −28.1993 | + | 4.71365i | −1.32346 | + | 0.221223i | ||||
\(455\) | 1.23270 | + | 4.19820i | 0.0577900 | + | 0.196815i | ||||
\(456\) | −6.48711 | + | 2.39796i | −0.303787 | + | 0.112295i | ||||
\(457\) | −10.9084 | − | 1.56839i | −0.510275 | − | 0.0733664i | −0.117631 | − | 0.993057i | \(-0.537530\pi\) |
−0.392643 | + | 0.919691i | \(0.628439\pi\) | |||||||
\(458\) | −11.3878 | + | 3.62805i | −0.532118 | + | 0.169528i | ||||
\(459\) | −2.65216 | −0.123792 | ||||||||
\(460\) | −31.3225 | − | 5.55177i | −1.46042 | − | 0.258853i | ||||
\(461\) | −8.45702 | −0.393882 | −0.196941 | − | 0.980415i | \(-0.563101\pi\) | ||||
−0.196941 | + | 0.980415i | \(0.563101\pi\) | |||||||
\(462\) | 2.10950 | − | 0.672065i | 0.0981426 | − | 0.0312673i | ||||
\(463\) | −34.9943 | − | 5.03142i | −1.62632 | − | 0.233830i | −0.732018 | − | 0.681285i | \(-0.761421\pi\) |
−0.894306 | + | 0.447455i | \(0.852330\pi\) | |||||||
\(464\) | −2.86715 | + | 0.262493i | −0.133104 | + | 0.0121859i | ||||
\(465\) | 14.5440 | + | 49.5322i | 0.674460 | + | 2.29700i | ||||
\(466\) | −0.0168349 | + | 0.00281403i | −0.000779860 | + | 0.000130358i | ||||
\(467\) | 21.4802 | + | 24.7895i | 0.993985 | + | 1.14712i | 0.989117 | + | 0.147131i | \(0.0470040\pi\) |
0.00486789 | + | 0.999988i | \(0.498450\pi\) | |||||||
\(468\) | 0.944593 | − | 2.34620i | 0.0436638 | − | 0.108453i | ||||
\(469\) | 2.64450 | + | 0.776496i | 0.122112 | + | 0.0358552i | ||||
\(470\) | 15.8083 | + | 23.4060i | 0.729184 | + | 1.07964i | ||||
\(471\) | 27.5259 | + | 17.6898i | 1.26833 | + | 0.815105i | ||||
\(472\) | −3.41238 | − | 15.9105i | −0.157068 | − | 0.732342i | ||||
\(473\) | 9.70083 | − | 11.1954i | 0.446045 | − | 0.514763i | ||||
\(474\) | −4.14330 | − | 2.53102i | −0.190308 | − | 0.116254i | ||||
\(475\) | −1.25143 | − | 8.70386i | −0.0574194 | − | 0.399361i | ||||
\(476\) | 0.219868 | − | 0.0419312i | 0.0100776 | − | 0.00192191i | ||||
\(477\) | −1.19172 | + | 0.544242i | −0.0545653 | + | 0.0249191i | ||||
\(478\) | −5.17567 | + | 0.118151i | −0.236730 | + | 0.00540412i | ||||
\(479\) | −4.39145 | + | 9.61594i | −0.200651 | + | 0.439364i | −0.983032 | − | 0.183437i | \(-0.941278\pi\) |
0.782381 | + | 0.622800i | \(0.214005\pi\) | |||||||
\(480\) | −3.56393 | − | 31.0936i | −0.162670 | − | 1.41922i | ||||
\(481\) | 14.9239 | + | 23.2221i | 0.680472 | + | 1.05883i | ||||
\(482\) | 13.9425 | + | 3.75048i | 0.635065 | + | 0.170829i | ||||
\(483\) | −1.58419 | − | 0.879222i | −0.0720833 | − | 0.0400060i | ||||
\(484\) | −10.6773 | − | 6.19237i | −0.485333 | − | 0.281471i | ||||
\(485\) | 2.62788 | − | 1.68883i | 0.119326 | − | 0.0766860i | ||||
\(486\) | 1.25622 | − | 2.92565i | 0.0569831 | − | 0.132710i | ||||
\(487\) | 0.361362 | + | 0.165028i | 0.0163749 | + | 0.00747815i | 0.423586 | − | 0.905856i | \(-0.360771\pi\) |
−0.407211 | + | 0.913334i | \(0.633499\pi\) | |||||||
\(488\) | 24.3628 | + | 13.3958i | 1.10285 | + | 0.606401i | ||||
\(489\) | 1.99965 | + | 4.37863i | 0.0904274 | + | 0.198008i | ||||
\(490\) | 14.2119 | + | 29.3292i | 0.642027 | + | 1.32496i | ||||
\(491\) | −24.0344 | + | 3.45563i | −1.08466 | + | 0.155950i | −0.661382 | − | 0.750049i | \(-0.730030\pi\) |
−0.423278 | + | 0.906000i | \(0.639121\pi\) | |||||||
\(492\) | −7.04050 | + | 6.68693i | −0.317410 | + | 0.301470i | ||||
\(493\) | 0.268825 | + | 0.232938i | 0.0121073 | + | 0.0104910i | ||||
\(494\) | −8.94359 | + | 8.11434i | −0.402391 | + | 0.365082i | ||||
\(495\) | 1.61289 | − | 2.50971i | 0.0724942 | − | 0.112803i | ||||
\(496\) | −7.20639 | + | 36.6206i | −0.323576 | + | 1.64431i | ||||
\(497\) | 0.300492 | − | 1.02338i | 0.0134789 | − | 0.0459049i | ||||
\(498\) | −2.05293 | + | 17.0291i | −0.0919941 | + | 0.763092i | ||||
\(499\) | 17.2176 | − | 14.9191i | 0.770766 | − | 0.667873i | −0.177937 | − | 0.984042i | \(-0.556942\pi\) |
0.948703 | + | 0.316169i | \(0.102397\pi\) | |||||||
\(500\) | 6.59593 | + | 0.642825i | 0.294979 | + | 0.0287480i | ||||
\(501\) | 16.6942 | − | 4.90186i | 0.745842 | − | 0.218999i | ||||
\(502\) | 11.0164 | + | 9.11404i | 0.491688 | + | 0.406779i | ||||
\(503\) | 1.84791 | − | 12.8525i | 0.0823944 | − | 0.573066i | −0.906244 | − | 0.422754i | \(-0.861063\pi\) |
0.988639 | − | 0.150311i | \(-0.0480276\pi\) | |||||||
\(504\) | −0.0299540 | + | 0.135782i | −0.00133426 | + | 0.00604819i | ||||
\(505\) | − | 21.5691i | − | 0.959812i | ||||||
\(506\) | 6.41144 | + | 27.3639i | 0.285023 | + | 1.21647i | ||||
\(507\) | 34.9286i | 1.55123i | ||||||||
\(508\) | 1.00615 | + | 22.0259i | 0.0446406 | + | 0.977240i | ||||
\(509\) | 3.61245 | − | 25.1252i | 0.160119 | − | 1.11365i | −0.738287 | − | 0.674487i | \(-0.764365\pi\) |
0.898406 | − | 0.439166i | \(-0.144726\pi\) | |||||||
\(510\) | −2.46475 | + | 2.97923i | −0.109141 | + | 0.131923i | ||||
\(511\) | −1.49227 | + | 0.438171i | −0.0660142 | + | 0.0193835i | ||||
\(512\) | 8.09333 | − | 21.1305i | 0.357678 | − | 0.933845i | ||||
\(513\) | −5.94507 | + | 5.15144i | −0.262481 | + | 0.227441i | ||||
\(514\) | −17.2967 | − | 2.08519i | −0.762925 | − | 0.0919740i | ||||
\(515\) | 15.5468 | − | 52.9476i | 0.685074 | − | 2.33315i | ||||
\(516\) | −3.87898 | − | 11.2787i | −0.170763 | − | 0.496519i | ||||
\(517\) | 13.4912 | − | 20.9927i | 0.593342 | − | 0.923259i | ||||
\(518\) | −1.01971 | − | 1.12392i | −0.0448036 | − | 0.0493823i | ||||
\(519\) | 1.10232 | + | 0.955165i | 0.0483865 | + | 0.0419271i | ||||
\(520\) | −26.0490 | − | 48.0389i | −1.14232 | − | 2.10665i | ||||
\(521\) | 29.0404 | − | 4.17538i | 1.27228 | − | 0.182927i | 0.527110 | − | 0.849797i | \(-0.323275\pi\) |
0.745174 | + | 0.666870i | \(0.232366\pi\) | |||||||
\(522\) | −0.198854 | + | 0.0963574i | −0.00870358 | + | 0.00421745i | ||||
\(523\) | 14.2767 | + | 31.2616i | 0.624277 | + | 1.36698i | 0.912367 | + | 0.409372i | \(0.134252\pi\) |
−0.288091 | + | 0.957603i | \(0.593020\pi\) | |||||||
\(524\) | 7.83650 | − | 32.0296i | 0.342339 | − | 1.39922i | ||||
\(525\) | 2.06160 | + | 0.941503i | 0.0899757 | + | 0.0410905i | ||||
\(526\) | −26.3780 | − | 11.3262i | −1.15014 | − | 0.493846i | ||||
\(527\) | 3.87910 | − | 2.49294i | 0.168976 | − | 0.108594i | ||||
\(528\) | −24.0005 | + | 13.7321i | −1.04449 | + | 0.597612i | ||||
\(529\) | 12.6995 | − | 19.1761i | 0.552153 | − | 0.833743i | ||||
\(530\) | −7.35301 | + | 27.3351i | −0.319394 | + | 1.18736i | ||||
\(531\) | −0.675193 | − | 1.05062i | −0.0293009 | − | 0.0455931i | ||||
\(532\) | 0.411409 | − | 0.521054i | 0.0178368 | − | 0.0225905i | ||||
\(533\) | −7.04306 | + | 15.4222i | −0.305069 | + | 0.668008i | ||||
\(534\) | −0.771955 | − | 33.8158i | −0.0334058 | − | 1.46335i | ||||
\(535\) | −5.08632 | + | 2.32284i | −0.219901 | + | 0.100425i | ||||
\(536\) | −34.3278 | − | 2.55618i | −1.48273 | − | 0.110410i | ||||
\(537\) | −3.49321 | − | 24.2958i | −0.150743 | − | 1.04844i | ||||
\(538\) | −2.31452 | + | 3.78889i | −0.0997861 | + | 0.163351i | ||||
\(539\) | 18.8564 | − | 21.7614i | 0.812201 | − | 0.937330i | ||||
\(540\) | −16.2500 | − | 31.6722i | −0.699289 | − | 1.36295i | ||||
\(541\) | 12.2280 | + | 7.85844i | 0.525721 | + | 0.337861i | 0.776432 | − | 0.630202i | \(-0.217028\pi\) |
−0.250710 | + | 0.968062i | \(0.580664\pi\) | |||||||
\(542\) | −1.21973 | + | 0.823801i | −0.0523918 | + | 0.0353853i | ||||
\(543\) | 0.508680 | + | 0.149362i | 0.0218296 | + | 0.00640974i | ||||
\(544\) | −2.57515 | + | 1.08791i | −0.110409 | + | 0.0466437i | ||||
\(545\) | 22.1148 | + | 25.5219i | 0.947295 | + | 1.09324i | ||||
\(546\) | −0.513150 | − | 3.06990i | −0.0219608 | − | 0.131380i | ||||
\(547\) | −8.99528 | − | 30.6351i | −0.384611 | − | 1.30986i | −0.893512 | − | 0.449039i | \(-0.851767\pi\) |
0.508902 | − | 0.860825i | \(-0.330052\pi\) | |||||||
\(548\) | −0.834628 | − | 1.17693i | −0.0356536 | − | 0.0502758i | ||||
\(549\) | 2.11210 | + | 0.303674i | 0.0901421 | + | 0.0129605i | ||||
\(550\) | −10.6720 | − | 33.4977i | −0.455057 | − | 1.42835i | ||||
\(551\) | 1.05505 | 0.0449464 | ||||||||
\(552\) | 21.6486 | + | 6.58770i | 0.921424 | + | 0.280391i | ||||
\(553\) | 0.466061 | 0.0198189 | ||||||||
\(554\) | −4.14813 | − | 13.0203i | −0.176237 | − | 0.553178i | ||||
\(555\) | 25.9489 | + | 3.73089i | 1.10147 | + | 0.158367i | ||||
\(556\) | −12.5618 | − | 17.7137i | −0.532741 | − | 0.751228i | ||||
\(557\) | 4.57086 | + | 15.5669i | 0.193674 | + | 0.659592i | 0.997870 | + | 0.0652286i | \(0.0207777\pi\) |
−0.804197 | + | 0.594363i | \(0.797404\pi\) | |||||||
\(558\) | 0.472259 | + | 2.82527i | 0.0199923 | + | 0.119603i | ||||
\(559\) | −13.6379 | − | 15.7389i | −0.576820 | − | 0.665686i | ||||
\(560\) | 1.84789 | + | 2.36875i | 0.0780876 | + | 0.100098i | ||||
\(561\) | 3.27782 | + | 0.962454i | 0.138390 | + | 0.0406348i | ||||
\(562\) | 27.8889 | − | 18.8361i | 1.17642 | − | 0.794554i | ||||
\(563\) | 29.5452 | + | 18.9876i | 1.24518 | + | 0.800230i | 0.986185 | − | 0.165648i | \(-0.0529716\pi\) |
0.258997 | + | 0.965878i | \(0.416608\pi\) | |||||||
\(564\) | −9.17171 | − | 17.8762i | −0.386199 | − | 0.752724i | ||||
\(565\) | 3.09090 | − | 3.56709i | 0.130035 | − | 0.150068i | ||||
\(566\) | 13.5930 | − | 22.2518i | 0.571357 | − | 0.935315i | ||||
\(567\) | −0.267556 | − | 1.86090i | −0.0112363 | − | 0.0781503i | ||||
\(568\) | −0.989202 | + | 13.2843i | −0.0415060 | + | 0.557397i | ||||
\(569\) | −31.5524 | + | 14.4095i | −1.32274 | + | 0.604077i | −0.946578 | − | 0.322475i | \(-0.895485\pi\) |
−0.376166 | + | 0.926552i | \(0.622758\pi\) | |||||||
\(570\) | 0.261741 | + | 11.4657i | 0.0109631 | + | 0.480243i | ||||
\(571\) | 1.13150 | − | 2.47764i | 0.0473518 | − | 0.103686i | −0.884478 | − | 0.466583i | \(-0.845485\pi\) |
0.931829 | + | 0.362897i | \(0.118212\pi\) | |||||||
\(572\) | −29.9193 | + | 37.8931i | −1.25099 | + | 1.58439i | ||||
\(573\) | −12.1896 | − | 18.9673i | −0.509226 | − | 0.792372i | ||||
\(574\) | 0.242119 | − | 0.900085i | 0.0101058 | − | 0.0375688i | ||||
\(575\) | −13.9616 | + | 25.1562i | −0.582239 | + | 1.04908i | ||||
\(576\) | 0.0101661 | − | 1.73659i | 0.000423587 | − | 0.0723577i | ||||
\(577\) | 0.656067 | − | 0.421629i | 0.0273124 | − | 0.0175526i | −0.526913 | − | 0.849919i | \(-0.676651\pi\) |
0.554226 | + | 0.832366i | \(0.313014\pi\) | |||||||
\(578\) | −21.7739 | − | 9.34928i | −0.905675 | − | 0.388879i | ||||
\(579\) | −25.8785 | − | 11.8183i | −1.07547 | − | 0.491152i | ||||
\(580\) | −1.13464 | + | 4.63755i | −0.0471135 | + | 0.192564i | ||||
\(581\) | −0.683978 | − | 1.49770i | −0.0283762 | − | 0.0621352i | ||||
\(582\) | −1.99970 | + | 0.968986i | −0.0828904 | + | 0.0401658i | ||||
\(583\) | 24.7547 | − | 3.55919i | 1.02524 | − | 0.147407i | ||||
\(584\) | 17.0757 | − | 9.25924i | 0.706596 | − | 0.383150i | ||||
\(585\) | −3.16966 | − | 2.74652i | −0.131049 | − | 0.113555i | ||||
\(586\) | 19.4079 | + | 21.3913i | 0.801731 | + | 0.883665i | ||||
\(587\) | 10.9250 | − | 16.9996i | 0.450922 | − | 0.701648i | −0.539150 | − | 0.842210i | \(-0.681255\pi\) |
0.990072 | + | 0.140562i | \(0.0448909\pi\) | |||||||
\(588\) | −7.53992 | − | 21.9235i | −0.310941 | − | 0.904109i | ||||
\(589\) | 3.85319 | − | 13.1228i | 0.158768 | − | 0.540714i | ||||
\(590\) | −26.7896 | − | 3.22960i | −1.10291 | − | 0.132961i | ||||
\(591\) | −6.17147 | + | 5.34761i | −0.253861 | + | 0.219971i | ||||
\(592\) | 15.3961 | + | 11.0543i | 0.632777 | + | 0.454331i | ||||
\(593\) | −32.9444 | + | 9.67334i | −1.35286 | + | 0.397237i | −0.876242 | − | 0.481872i | \(-0.839957\pi\) |
−0.476622 | + | 0.879108i | \(0.658139\pi\) | |||||||
\(594\) | −20.0481 | + | 24.2328i | −0.822582 | + | 0.994283i | ||||
\(595\) | 0.0528224 | − | 0.367388i | 0.00216551 | − | 0.0150614i | ||||
\(596\) | −2.00415 | − | 43.8733i | −0.0820930 | − | 1.79712i | ||||
\(597\) | 22.9149i | 0.937845i | ||||||||
\(598\) | 39.3606 | − | 3.44697i | 1.60957 | − | 0.140957i | ||||
\(599\) | 0.463611i | 0.0189426i | 0.999955 | + | 0.00947132i | \(0.00301486\pi\) | ||||
−0.999955 | + | 0.00947132i | \(0.996985\pi\) | |||||||
\(600\) | −27.6417 | − | 6.09787i | −1.12847 | − | 0.248945i | ||||
\(601\) | 0.181420 | − | 1.26180i | 0.00740027 | − | 0.0514700i | −0.985787 | − | 0.168002i | \(-0.946269\pi\) |
0.993187 | + | 0.116532i | \(0.0371777\pi\) | |||||||
\(602\) | 0.882152 | + | 0.729814i | 0.0359538 | + | 0.0297450i | ||||
\(603\) | −2.53488 | + | 0.744307i | −0.103228 | + | 0.0303105i | ||||
\(604\) | 13.2887 | + | 1.29509i | 0.540710 | + | 0.0526964i | ||||
\(605\) | −15.4685 | + | 13.4036i | −0.628886 | + | 0.544932i | ||||
\(606\) | −1.83640 | + | 15.2330i | −0.0745988 | + | 0.618798i | ||||
\(607\) | −2.29758 | + | 7.82486i | −0.0932561 | + | 0.317601i | −0.992889 | − | 0.119047i | \(-0.962016\pi\) |
0.899633 | + | 0.436648i | \(0.143834\pi\) | |||||||
\(608\) | −3.65934 | + | 7.44050i | −0.148406 | + | 0.301752i | ||||
\(609\) | −0.147016 | + | 0.228761i | −0.00595738 | + | 0.00926987i | ||||
\(610\) | 34.1449 | − | 30.9790i | 1.38249 | − | 1.25430i | ||||
\(611\) | −26.5129 | − | 22.9735i | −1.07260 | − | 0.929410i | ||||
\(612\) | −0.155567 | + | 0.147754i | −0.00628842 | + | 0.00597261i | ||||
\(613\) | 31.4275 | − | 4.51859i | 1.26934 | − | 0.182504i | 0.525463 | − | 0.850816i | \(-0.323892\pi\) |
0.743881 | + | 0.668312i | \(0.232983\pi\) | |||||||
\(614\) | −2.30205 | − | 4.75076i | −0.0929033 | − | 0.191725i | ||||
\(615\) | 6.68882 | + | 14.6465i | 0.269719 | + | 0.590603i | ||||
\(616\) | 1.27888 | − | 2.32589i | 0.0515277 | − | 0.0937128i | ||||
\(617\) | 30.6896 | + | 14.0155i | 1.23552 | + | 0.564242i | 0.922680 | − | 0.385565i | \(-0.125994\pi\) |
0.312836 | + | 0.949807i | \(0.398721\pi\) | |||||||
\(618\) | −15.4878 | + | 36.0701i | −0.623010 | + | 1.45095i | ||||
\(619\) | 11.9212 | − | 7.66127i | 0.479152 | − | 0.307932i | −0.278678 | − | 0.960385i | \(-0.589896\pi\) |
0.757830 | + | 0.652452i | \(0.226260\pi\) | |||||||
\(620\) | 53.5384 | + | 31.0498i | 2.15015 | + | 1.24699i | ||||
\(621\) | 25.6845 | − | 1.65965i | 1.03068 | − | 0.0665995i | ||||
\(622\) | 24.9151 | + | 6.70204i | 0.999005 | + | 0.268727i | ||||
\(623\) | 1.75540 | + | 2.73146i | 0.0703287 | + | 0.109434i | ||||
\(624\) | 14.3068 | + | 36.1449i | 0.572731 | + | 1.44695i | ||||
\(625\) | −7.89543 | + | 17.2886i | −0.315817 | + | 0.691543i | ||||
\(626\) | −11.5991 | + | 0.264787i | −0.463594 | + | 0.0105830i | ||||
\(627\) | 9.21697 | − | 4.20925i | 0.368090 | − | 0.168101i | ||||
\(628\) | 38.5334 | − | 7.34874i | 1.53765 | − | 0.293247i | ||||
\(629\) | −0.333250 | − | 2.31781i | −0.0132876 | − | 0.0924170i | ||||
\(630\) | 0.196765 | + | 0.120198i | 0.00783930 | + | 0.00478880i | ||||
\(631\) | −31.1382 | + | 35.9354i | −1.23959 | + | 1.43056i | −0.375810 | + | 0.926697i | \(0.622635\pi\) |
−0.863781 | + | 0.503867i | \(0.831910\pi\) | |||||||
\(632\) | −5.69143 | + | 1.22066i | −0.226393 | + | 0.0485552i | ||||
\(633\) | −19.6759 | − | 12.6449i | −0.782046 | − | 0.502591i | ||||
\(634\) | 5.79931 | + | 8.58652i | 0.230320 | + | 0.341014i | ||||
\(635\) | 35.0814 | + | 10.3008i | 1.39216 | + | 0.408776i | ||||
\(636\) | 7.52033 | − | 18.6791i | 0.298200 | − | 0.740676i | ||||
\(637\) | −26.5091 | − | 30.5931i | −1.05033 | − | 1.21214i | ||||
\(638\) | 4.16044 | − | 0.695439i | 0.164713 | − | 0.0275327i | ||||
\(639\) | 0.288035 | + | 0.980957i | 0.0113945 | + | 0.0388060i | ||||
\(640\) | −28.7700 | − | 24.0868i | −1.13723 | − | 0.952116i | ||||
\(641\) | 13.2032 | + | 1.89834i | 0.521496 | + | 0.0749798i | 0.398036 | − | 0.917370i | \(-0.369692\pi\) |
0.123460 | + | 0.992350i | \(0.460601\pi\) | |||||||
\(642\) | 3.78994 | − | 1.20744i | 0.149577 | − | 0.0476538i | ||||
\(643\) | 11.2686 | 0.444389 | 0.222194 | − | 0.975002i | \(-0.428678\pi\) | ||||
0.222194 | + | 0.975002i | \(0.428678\pi\) | |||||||
\(644\) | −2.10304 | + | 0.543664i | −0.0828714 | + | 0.0214234i | ||||
\(645\) | −19.7781 | −0.778763 | ||||||||
\(646\) | 0.976063 | − | 0.310964i | 0.0384027 | − | 0.0122347i | ||||
\(647\) | −6.89859 | − | 0.991868i | −0.271212 | − | 0.0389944i | 0.00536711 | − | 0.999986i | \(-0.498292\pi\) |
−0.276579 | + | 0.960991i | \(0.589201\pi\) | |||||||
\(648\) | 8.14120 | + | 22.0241i | 0.319817 | + | 0.865187i | ||||
\(649\) | 6.71656 | + | 22.8745i | 0.263648 | + | 0.897903i | ||||
\(650\) | −48.7484 | + | 8.14855i | −1.91207 | + | 0.319612i | ||||
\(651\) | 2.30843 | + | 2.66407i | 0.0904744 | + | 0.104413i | ||||
\(652\) | 5.35342 | + | 2.15532i | 0.209656 | + | 0.0844087i | ||||
\(653\) | 33.8759 | + | 9.94686i | 1.32567 | + | 0.389251i | 0.866534 | − | 0.499117i | \(-0.166342\pi\) |
0.459132 | + | 0.888368i | \(0.348161\pi\) | |||||||
\(654\) | −13.4455 | − | 19.9075i | −0.525760 | − | 0.778444i | ||||
\(655\) | −45.9993 | − | 29.5620i | −1.79734 | − | 1.15508i | ||||
\(656\) | −0.599286 | + | 11.6258i | −0.0233982 | + | 0.453910i | ||||
\(657\) | 0.976265 | − | 1.12667i | 0.0380877 | − | 0.0439556i | ||||
\(658\) | 1.64586 | + | 1.00541i | 0.0641622 | + | 0.0391948i | ||||
\(659\) | 4.18500 | + | 29.1073i | 0.163024 | + | 1.13386i | 0.892892 | + | 0.450271i | \(0.148673\pi\) |
−0.729867 | + | 0.683589i | \(0.760418\pi\) | |||||||
\(660\) | 8.58979 | + | 45.0408i | 0.334357 | + | 1.75321i | ||||
\(661\) | −21.9073 | + | 10.0047i | −0.852096 | + | 0.389139i | −0.793080 | − | 0.609118i | \(-0.791524\pi\) |
−0.0590160 | + | 0.998257i | \(0.518796\pi\) | |||||||
\(662\) | −27.7489 | + | 0.633459i | −1.07849 | + | 0.0246201i | ||||
\(663\) | 1.99509 | − | 4.36864i | 0.0774829 | − | 0.169664i | ||||
\(664\) | 12.2752 | + | 16.4982i | 0.476371 | + | 0.640254i | ||||
\(665\) | −0.595191 | − | 0.926135i | −0.0230805 | − | 0.0359140i | ||||
\(666\) | 1.40472 | + | 0.377864i | 0.0544319 | + | 0.0146419i | ||||
\(667\) | −2.74917 | − | 2.08763i | −0.106448 | − | 0.0808335i | ||||
\(668\) | 10.4650 | − | 18.0444i | 0.404902 | − | 0.698161i | ||||
\(669\) | −11.3918 | + | 7.32107i | −0.440433 | + | 0.283049i | ||||
\(670\) | −22.5213 | + | 52.4508i | −0.870075 | + | 2.02635i | ||||
\(671\) | −37.0522 | − | 16.9212i | −1.43038 | − | 0.653234i | ||||
\(672\) | −1.10338 | − | 1.83024i | −0.0425638 | − | 0.0706031i | ||||
\(673\) | −13.1225 | − | 28.7344i | −0.505837 | − | 1.10763i | −0.974528 | − | 0.224266i | \(-0.928002\pi\) |
0.468691 | − | 0.883362i | \(-0.344726\pi\) | |||||||
\(674\) | −4.47151 | − | 9.22788i | −0.172236 | − | 0.355445i | ||||
\(675\) | −31.8681 | + | 4.58195i | −1.22661 | + | 0.176359i | ||||
\(676\) | 28.8382 | + | 30.3631i | 1.10916 | + | 1.16781i | ||||
\(677\) | 9.38954 | + | 8.13608i | 0.360869 | + | 0.312695i | 0.816358 | − | 0.577547i | \(-0.195990\pi\) |
−0.455488 | + | 0.890242i | \(0.650535\pi\) | |||||||
\(678\) | −2.48663 | + | 2.25607i | −0.0954983 | + | 0.0866437i | ||||
\(679\) | 0.115321 | − | 0.179443i | 0.00442562 | − | 0.00688640i | ||||
\(680\) | 0.317169 | + | 4.62480i | 0.0121629 | + | 0.177353i | ||||
\(681\) | 9.50155 | − | 32.3593i | 0.364100 | − | 1.24001i | ||||
\(682\) | 6.54463 | − | 54.2878i | 0.250607 | − | 2.07879i | ||||
\(683\) | 17.9654 | − | 15.5671i | 0.687428 | − | 0.595659i | −0.239502 | − | 0.970896i | \(-0.576984\pi\) |
0.926929 | + | 0.375237i | \(0.122439\pi\) | |||||||
\(684\) | −0.0617270 | + | 0.633371i | −0.00236019 | + | 0.0242175i | ||||
\(685\) | −2.29565 | + | 0.674064i | −0.0877123 | + | 0.0257547i | ||||
\(686\) | 3.44209 | + | 2.84768i | 0.131419 | + | 0.108725i | ||||
\(687\) | 2.00641 | − | 13.9549i | 0.0765492 | − | 0.532411i | ||||
\(688\) | −12.6841 | − | 6.60188i | −0.483576 | − | 0.251694i | ||||
\(689\) | − | 35.1591i | − | 1.33946i | ||||||
\(690\) | 22.0052 | − | 30.3943i | 0.837726 | − | 1.15709i | ||||
\(691\) | 5.58196i | 0.212348i | 0.994348 | + | 0.106174i | \(0.0338600\pi\) | ||||
−0.994348 | + | 0.106174i | \(0.966140\pi\) | |||||||
\(692\) | 1.74685 | − | 0.0797967i | 0.0664054 | − | 0.00303342i | ||||
\(693\) | 0.0289914 | − | 0.201640i | 0.00110129 | − | 0.00765965i | ||||
\(694\) | 18.5149 | − | 22.3796i | 0.702818 | − | 0.849520i | ||||
\(695\) | −34.5515 | + | 10.1452i | −1.31061 | + | 0.384830i | ||||
\(696\) | 1.19618 | − | 3.17862i | 0.0453409 | − | 0.120485i | ||||
\(697\) | 1.08693 | − | 0.941834i | 0.0411706 | − | 0.0356745i | ||||
\(698\) | 24.6394 | + | 2.97039i | 0.932616 | + | 0.112431i | ||||
\(699\) | 0.00567239 | − | 0.0193184i | 0.000214550 | − | 0.000730689i | ||||
\(700\) | 2.56947 | − | 0.883691i | 0.0971168 | − | 0.0334004i | ||||
\(701\) | −3.08890 | + | 4.80642i | −0.116666 | + | 0.181536i | −0.894676 | − | 0.446717i | \(-0.852593\pi\) |
0.778009 | + | 0.628253i | \(0.216230\pi\) | |||||||
\(702\) | 29.7097 | + | 32.7459i | 1.12132 | + | 1.23591i | ||||
\(703\) | −5.24901 | − | 4.54829i | −0.197970 | − | 0.171542i | ||||
\(704\) | −9.52571 | + | 31.7528i | −0.359014 | + | 1.19673i | ||||
\(705\) | −32.9780 | + | 4.74152i | −1.24202 | + | 0.178576i | ||||
\(706\) | −28.1383 | + | 13.6348i | −1.05900 | + | 0.513154i | ||||
\(707\) | −0.611838 | − | 1.33974i | −0.0230105 | − | 0.0503860i | ||||
\(708\) | 18.6450 | + | 4.56176i | 0.700721 | + | 0.171442i | ||||
\(709\) | −3.66776 | − | 1.67501i | −0.137746 | − | 0.0629063i | 0.345350 | − | 0.938474i | \(-0.387760\pi\) |
−0.483095 | + | 0.875568i | \(0.660488\pi\) | |||||||
\(710\) | 20.2976 | + | 8.71540i | 0.761757 | + | 0.327083i | ||||
\(711\) | −0.375822 | + | 0.241526i | −0.0140944 | + | 0.00905794i | ||||
\(712\) | −28.5905 | − | 28.7584i | −1.07148 | − | 1.07777i | ||||
\(713\) | −36.0066 | + | 26.5700i | −1.34846 | + | 0.995055i | ||||
\(714\) | −0.0685850 | + | 0.254967i | −0.00256673 | + | 0.00954191i | ||||
\(715\) | 43.2847 | + | 67.3522i | 1.61875 | + | 2.51883i | ||||
\(716\) | −23.0960 | − | 18.2360i | −0.863140 | − | 0.681511i | ||||
\(717\) | 2.53687 | − | 5.55496i | 0.0947410 | − | 0.207454i | ||||
\(718\) | 0.0666916 | + | 2.92145i | 0.00248891 | + | 0.109028i | ||||
\(719\) | −14.2275 | + | 6.49749i | −0.530597 | + | 0.242316i | −0.662653 | − | 0.748927i | \(-0.730569\pi\) |
0.132056 | + | 0.991242i | \(0.457842\pi\) | |||||||
\(720\) | −2.71766 | − | 0.952483i | −0.101281 | − | 0.0354969i | ||||
\(721\) | −0.536261 | − | 3.72978i | −0.0199714 | − | 0.138904i | ||||
\(722\) | −12.4234 | + | 20.3373i | −0.462353 | + | 0.756875i | ||||
\(723\) | −11.1531 | + | 12.8714i | −0.414789 | + | 0.478692i | ||||
\(724\) | 0.565509 | − | 0.290145i | 0.0210170 | − | 0.0107832i | ||||
\(725\) | 3.63261 | + | 2.33453i | 0.134912 | + | 0.0867024i | ||||
\(726\) | 12.0657 | − | 8.14916i | 0.447801 | − | 0.302444i | ||||
\(727\) | 19.3621 | + | 5.68523i | 0.718101 | + | 0.210853i | 0.620314 | − | 0.784354i | \(-0.287005\pi\) |
0.0977873 | + | 0.995207i | \(0.468824\pi\) | |||||||
\(728\) | −2.98069 | − | 2.24496i | −0.110472 | − | 0.0832038i | ||||
\(729\) | 18.7688 | + | 21.6603i | 0.695140 | + | 0.802235i | ||||
\(730\) | −5.31050 | − | 31.7699i | −0.196550 | − | 1.17585i | ||||
\(731\) | 0.497715 | + | 1.69506i | 0.0184086 | + | 0.0626941i | ||||
\(732\) | −26.7521 | + | 18.9715i | −0.988786 | + | 0.701208i | ||||
\(733\) | −21.9322 | − | 3.15338i | −0.810085 | − | 0.116473i | −0.275189 | − | 0.961390i | \(-0.588740\pi\) |
−0.534896 | + | 0.844918i | \(0.679649\pi\) | |||||||
\(734\) | 5.04985 | + | 15.8506i | 0.186393 | + | 0.585057i | ||||
\(735\) | −38.4445 | −1.41805 | ||||||||
\(736\) | 24.2579 | − | 12.1472i | 0.894159 | − | 0.447750i | ||||
\(737\) | 50.4319 | 1.85768 | ||||||||
\(738\) | 0.271210 | + | 0.851283i | 0.00998340 | + | 0.0313362i | ||||
\(739\) | 50.8417 | + | 7.30993i | 1.87024 | + | 0.268900i | 0.981776 | − | 0.190042i | \(-0.0608624\pi\) |
0.888466 | + | 0.458942i | \(0.151771\pi\) | |||||||
\(740\) | 25.6375 | − | 18.1811i | 0.942452 | − | 0.668349i | ||||
\(741\) | −4.01325 | − | 13.6679i | −0.147431 | − | 0.502102i | ||||
\(742\) | 0.318675 | + | 1.90646i | 0.0116989 | + | 0.0699885i | ||||
\(743\) | 12.4738 | + | 14.3955i | 0.457620 | + | 0.528121i | 0.936927 | − | 0.349526i | \(-0.113657\pi\) |
−0.479307 | + | 0.877647i | \(0.659112\pi\) | |||||||
\(744\) | −35.1674 | − | 26.4870i | −1.28930 | − | 0.971060i | ||||
\(745\) | −69.8786 | − | 20.5182i | −2.56015 | − | 0.751729i | ||||
\(746\) | 44.2187 | − | 29.8652i | 1.61896 | − | 1.09344i | ||||
\(747\) | 1.32770 | + | 0.853260i | 0.0485780 | + | 0.0312192i | ||||
\(748\) | 3.64401 | − | 1.86963i | 0.133238 | − | 0.0683603i | ||||
\(749\) | −0.250040 | + | 0.288561i | −0.00913625 | + | 0.0105438i | ||||
\(750\) | −4.07523 | + | 6.67119i | −0.148806 | + | 0.243597i | ||||
\(751\) | 2.94158 | + | 20.4591i | 0.107340 | + | 0.746564i | 0.970407 | + | 0.241475i | \(0.0776312\pi\) |
−0.863067 | + | 0.505089i | \(0.831460\pi\) | |||||||
\(752\) | −22.7321 | − | 7.96713i | −0.828954 | − | 0.290531i | ||||
\(753\) | −15.3416 | + | 7.00628i | −0.559080 | + | 0.255323i | ||||
\(754\) | −0.135338 | − | 5.92853i | −0.00492872 | − | 0.215904i | ||||
\(755\) | 9.19743 | − | 20.1396i | 0.334729 | − | 0.732954i | ||||
\(756\) | −1.90777 | − | 1.50632i | −0.0693851 | − | 0.0547845i | ||||
\(757\) | 7.54433 | + | 11.7392i | 0.274203 | + | 0.426669i | 0.950856 | − | 0.309634i | \(-0.100206\pi\) |
−0.676653 | + | 0.736302i | \(0.736570\pi\) | |||||||
\(758\) | −5.31857 | + | 19.7720i | −0.193179 | + | 0.718151i | ||||
\(759\) | −32.3459 | − | 7.26959i | −1.17408 | − | 0.263869i | ||||
\(760\) | 9.69397 | + | 9.75088i | 0.351637 | + | 0.353702i | ||||
\(761\) | 7.36982 | − | 4.73630i | 0.267156 | − | 0.171691i | −0.400204 | − | 0.916426i | \(-0.631061\pi\) |
0.667360 | + | 0.744735i | \(0.267424\pi\) | |||||||
\(762\) | −23.8989 | − | 10.2617i | −0.865767 | − | 0.371743i | ||||
\(763\) | 2.09760 | + | 0.957941i | 0.0759382 | + | 0.0346798i | ||||
\(764\) | −26.2563 | − | 6.42400i | −0.949921 | − | 0.232412i | ||||
\(765\) | 0.147796 | + | 0.323628i | 0.00534358 | + | 0.0117008i | ||||
\(766\) | 14.6673 | − | 7.10725i | 0.529951 | − | 0.256795i | ||||
\(767\) | 33.1745 | − | 4.76977i | 1.19786 | − | 0.172226i | ||||
\(768\) | 18.2678 | + | 19.4606i | 0.659183 | + | 0.702225i | ||||
\(769\) | −30.6072 | − | 26.5213i | −1.10372 | − | 0.956382i | −0.104452 | − | 0.994530i | \(-0.533309\pi\) |
−0.999272 | + | 0.0381479i | \(0.987854\pi\) | |||||||
\(770\) | −2.95753 | − | 3.25977i | −0.106582 | − | 0.117474i | ||||
\(771\) | 11.1107 | − | 17.2886i | 0.400142 | − | 0.622633i | ||||
\(772\) | −32.2535 | + | 11.0926i | −1.16083 | + | 0.399232i | ||||
\(773\) | −10.1397 | + | 34.5325i | −0.364698 | + | 1.24205i | 0.549058 | + | 0.835785i | \(0.314987\pi\) |
−0.913756 | + | 0.406264i | \(0.866831\pi\) | |||||||
\(774\) | −1.08956 | − | 0.131351i | −0.0391634 | − | 0.00472132i | ||||
\(775\) | 42.3040 | − | 36.6566i | 1.51961 | − | 1.31675i | ||||
\(776\) | −0.938296 | + | 2.49336i | −0.0336829 | + | 0.0895062i | ||||
\(777\) | 1.71761 | − | 0.504337i | 0.0616191 | − | 0.0180930i | ||||
\(778\) | 28.5172 | − | 34.4697i | 1.02239 | − | 1.23580i | ||||
\(779\) | 0.607093 | − | 4.22242i | 0.0217514 | − | 0.151284i | ||||
\(780\) | 64.3945 | − | 2.94156i | 2.30569 | − | 0.105325i | ||||
\(781\) | − | 19.5164i | − | 0.698350i | ||||||
\(782\) | −3.15867 | − | 1.12106i | −0.112954 | − | 0.0400891i | ||||
\(783\) | − | 3.86292i | − | 0.138049i | ||||||
\(784\) | −24.6552 | − | 12.8327i | −0.880541 | − | 0.458309i | ||||
\(785\) | 9.25750 | − | 64.3873i | 0.330414 | − | 2.29808i | ||||
\(786\) | 29.9697 | + | 24.7943i | 1.06898 | + | 0.884383i | ||||
\(787\) | 28.5686 | − | 8.38848i | 1.01836 | − | 0.299017i | 0.270390 | − | 0.962751i | \(-0.412847\pi\) |
0.747969 | + | 0.663734i | \(0.231029\pi\) | |||||||
\(788\) | −0.949631 | + | 9.74401i | −0.0338292 | + | 0.347116i | ||||
\(789\) | 25.5917 | − | 22.1753i | 0.911088 | − | 0.789462i | ||||
\(790\) | −1.15528 | + | 9.58303i | −0.0411029 | + | 0.340949i | ||||
\(791\) | 0.0908019 | − | 0.309243i | 0.00322854 | − | 0.0109954i | ||||
\(792\) | 0.174077 | + | 2.53831i | 0.00618556 | + | 0.0901948i | ||||
\(793\) | −30.9595 | + | 48.1739i | −1.09940 | + | 1.71071i | ||||
\(794\) | −16.8412 | + | 15.2796i | −0.597670 | + | 0.542254i | ||||
\(795\) | −25.2350 | − | 21.8663i | −0.894995 | − | 0.775518i | ||||
\(796\) | 18.9193 | + | 19.9197i | 0.670578 | + | 0.706035i | ||||
\(797\) | 12.5901 | − | 1.81019i | 0.445966 | − | 0.0641202i | 0.0843264 | − | 0.996438i | \(-0.473126\pi\) |
0.361640 | + | 0.932318i | \(0.382217\pi\) | |||||||
\(798\) | 0.341497 | + | 0.704750i | 0.0120889 | + | 0.0249479i | ||||
\(799\) | 1.23625 | + | 2.70702i | 0.0437355 | + | 0.0957674i | ||||
\(800\) | −29.0633 | + | 17.5211i | −1.02754 | + | 0.619465i | ||||
\(801\) | −2.83104 | − | 1.29289i | −0.100030 | − | 0.0456821i | ||||
\(802\) | 0.531593 | − | 1.23805i | 0.0187712 | − | 0.0437170i | ||||
\(803\) | −23.9407 | + | 15.3857i | −0.844848 | + | 0.542951i | ||||
\(804\) | 20.3712 | − | 35.1255i | 0.718436 | − | 1.23878i | ||||
\(805\) | −0.281650 | + | 3.59097i | −0.00992686 | + | 0.126565i | ||||
\(806\) | −74.2340 | − | 19.9686i | −2.61478 | − | 0.703363i | ||||
\(807\) | −2.83151 | − | 4.40591i | −0.0996737 | − | 0.155095i | ||||
\(808\) | 10.9805 | + | 14.7581i | 0.386293 | + | 0.519188i | ||||
\(809\) | −13.6199 | + | 29.8234i | −0.478850 | + | 1.04853i | 0.503929 | + | 0.863745i | \(0.331887\pi\) |
−0.982778 | + | 0.184789i | \(0.940840\pi\) | |||||||
\(810\) | 38.9265 | − | 0.888623i | 1.36774 | − | 0.0312230i | ||||
\(811\) | −33.4165 | + | 15.2608i | −1.17341 | + | 0.535880i | −0.904162 | − | 0.427190i | \(-0.859504\pi\) |
−0.269251 | + | 0.963070i | \(0.586776\pi\) | |||||||
\(812\) | 0.0610735 | + | 0.320241i | 0.00214326 | + | 0.0112383i | ||||
\(813\) | −0.247089 | − | 1.71854i | −0.00866579 | − | 0.0602719i | ||||
\(814\) | −23.6968 | − | 14.4757i | −0.830574 | − | 0.507373i | ||||
\(815\) | 6.26685 | − | 7.23233i | 0.219518 | − | 0.253338i | ||||
\(816\) | 0.169760 | − | 3.29323i | 0.00594279 | − | 0.115286i | ||||
\(817\) | 4.40808 | + | 2.83290i | 0.154219 | + | 0.0991108i | ||||
\(818\) | 3.41957 | + | 5.06304i | 0.119562 | + | 0.177025i | ||||
\(819\) | −0.274788 | − | 0.0806851i | −0.00960187 | − | 0.00281936i | ||||
\(820\) | 17.9072 | + | 7.20952i | 0.625345 | + | 0.251767i | ||||
\(821\) | 7.29501 | + | 8.41889i | 0.254597 | + | 0.293821i | 0.868632 | − | 0.495458i | \(-0.165000\pi\) |
−0.614034 | + | 0.789279i | \(0.710454\pi\) | |||||||
\(822\) | 1.67867 | − | 0.280599i | 0.0585505 | − | 0.00978702i | ||||
\(823\) | −5.42382 | − | 18.4718i | −0.189062 | − | 0.643887i | −0.998400 | − | 0.0565438i | \(-0.981992\pi\) |
0.809338 | − | 0.587344i | \(-0.199826\pi\) | |||||||
\(824\) | 16.3173 | + | 44.1427i | 0.568442 | + | 1.53778i | ||||
\(825\) | 41.0487 | + | 5.90192i | 1.42913 | + | 0.205478i | ||||
\(826\) | −1.75561 | + | 0.559322i | −0.0610857 | + | 0.0194613i | ||||
\(827\) | −10.8862 | −0.378552 | −0.189276 | − | 0.981924i | \(-0.560614\pi\) | ||||
−0.189276 | + | 0.981924i | \(0.560614\pi\) | |||||||
\(828\) | 1.41411 | − | 1.52826i | 0.0491436 | − | 0.0531105i | ||||
\(829\) | 27.3003 | 0.948177 | 0.474089 | − | 0.880477i | \(-0.342778\pi\) | ||||
0.474089 | + | 0.880477i | \(0.342778\pi\) | |||||||
\(830\) | 32.4909 | − | 10.3513i | 1.12777 | − | 0.359298i | ||||
\(831\) | 15.9553 | + | 2.29402i | 0.553482 | + | 0.0795787i | ||||
\(832\) | 42.2793 | + | 19.6082i | 1.46577 | + | 0.679793i | ||||
\(833\) | 0.967452 | + | 3.29484i | 0.0335202 | + | 0.114159i | ||||
\(834\) | 25.2654 | − | 4.22325i | 0.874871 | − | 0.146239i | ||||
\(835\) | −22.6517 | − | 26.1415i | −0.783895 | − | 0.904663i | ||||
\(836\) | 4.53692 | − | 11.2689i | 0.156913 | − | 0.389743i | ||||
\(837\) | −48.0474 | − | 14.1080i | −1.66076 | − | 0.487643i | ||||
\(838\) | −14.8080 | − | 21.9248i | −0.511532 | − | 0.757379i | ||||
\(839\) | 10.9536 | + | 7.03945i | 0.378160 | + | 0.243029i | 0.715888 | − | 0.698215i | \(-0.246022\pi\) |
−0.337728 | + | 0.941244i | \(0.609658\pi\) | |||||||
\(840\) | −3.46505 | + | 0.743161i | −0.119556 | + | 0.0256415i | ||||
\(841\) | 18.6517 | − | 21.5252i | 0.643161 | − | 0.742248i | ||||
\(842\) | −8.36775 | − | 5.11161i | −0.288372 | − | 0.176158i | ||||
\(843\) | 5.64966 | + | 39.2943i | 0.194585 | + | 1.35337i | ||||
\(844\) | −27.5441 | + | 5.25298i | −0.948109 | + | 0.180815i | ||||
\(845\) | 63.1648 | − | 28.8464i | 2.17294 | − | 0.992347i | ||||
\(846\) | −1.84822 | + | 0.0421915i | −0.0635430 | + | 0.00145057i | ||||
\(847\) | −0.580598 | + | 1.27133i | −0.0199496 | + | 0.0436835i | ||||
\(848\) | −8.88480 | − | 22.4466i | −0.305105 | − | 0.770821i | ||||
\(849\) | 16.6292 | + | 25.8756i | 0.570713 | + | 0.888047i | ||||
\(850\) | 4.04875 | + | 1.08909i | 0.138871 | + | 0.0373556i | ||||
\(851\) | 4.67774 | + | 22.2379i | 0.160351 | + | 0.762307i | ||||
\(852\) | −13.5930 | − | 7.88333i | −0.465689 | − | 0.270078i | ||||
\(853\) | −3.55643 | + | 2.28558i | −0.121770 | + | 0.0782567i | −0.600108 | − | 0.799919i | \(-0.704876\pi\) |
0.478338 | + | 0.878176i | \(0.341239\pi\) | |||||||
\(854\) | 1.24210 | − | 2.89279i | 0.0425039 | − | 0.0989891i | ||||
\(855\) | 0.959899 | + | 0.438371i | 0.0328279 | + | 0.0149920i | ||||
\(856\) | 2.29766 | − | 4.17872i | 0.0785322 | − | 0.142826i | ||||
\(857\) | 5.27755 | + | 11.5562i | 0.180278 | + | 0.394753i | 0.978099 | − | 0.208141i | \(-0.0667414\pi\) |
−0.797821 | + | 0.602894i | \(0.794014\pi\) | |||||||
\(858\) | −24.8350 | − | 51.2522i | −0.847854 | − | 1.74972i | ||||
\(859\) | 50.8716 | − | 7.31424i | 1.73572 | − | 0.249559i | 0.799422 | − | 0.600770i | \(-0.205139\pi\) |
0.936296 | + | 0.351212i | \(0.114230\pi\) | |||||||
\(860\) | −17.1929 | + | 16.3295i | −0.586274 | + | 0.556831i | ||||
\(861\) | 0.830935 | + | 0.720009i | 0.0283182 | + | 0.0245379i | ||||
\(862\) | −3.63254 | + | 3.29573i | −0.123725 | + | 0.112253i | ||||
\(863\) | −6.32054 | + | 9.83496i | −0.215154 | + | 0.334786i | −0.932008 | − | 0.362437i | \(-0.881945\pi\) |
0.716854 | + | 0.697223i | \(0.245581\pi\) | |||||||
\(864\) | 27.2425 | + | 13.3982i | 0.926809 | + | 0.455817i | ||||
\(865\) | 0.816949 | − | 2.78227i | 0.0277771 | − | 0.0946001i | ||||
\(866\) | 0.201827 | − | 1.67416i | 0.00685837 | − | 0.0568903i | ||||
\(867\) | 21.1248 | − | 18.3048i | 0.717437 | − | 0.621663i | ||||
\(868\) | 4.20624 | + | 0.409931i | 0.142769 | + | 0.0139140i | ||||
\(869\) | 8.18254 | − | 2.40261i | 0.277574 | − | 0.0815030i | ||||
\(870\) | −4.33930 | − | 3.58996i | −0.147116 | − | 0.121711i | ||||
\(871\) | 10.0900 | − | 70.1778i | 0.341888 | − | 2.37788i | ||||
\(872\) | −28.1243 | − | 6.20434i | −0.952410 | − | 0.210106i | ||||
\(873\) | 0.204462i | 0.00691999i | ||||||||
\(874\) | −9.25796 | + | 3.62229i | −0.313155 | + | 0.122526i | ||||
\(875\) | − | 0.750411i | − | 0.0253685i | ||||||
\(876\) | 1.04559 | + | 22.8893i | 0.0353273 | + | 0.773359i | ||||
\(877\) | −5.09080 | + | 35.4073i | −0.171904 | + | 1.19562i | 0.702952 | + | 0.711237i | \(0.251865\pi\) |
−0.874856 | + | 0.484382i | \(0.839044\pi\) | |||||||
\(878\) | 14.6097 | − | 17.6593i | 0.493055 | − | 0.595972i | ||||
\(879\) | −32.6908 | + | 9.59889i | −1.10263 | + | 0.323763i | ||||
\(880\) | 44.6543 | + | 32.0615i | 1.50530 | + | 1.08079i | ||||
\(881\) | −18.0081 | + | 15.6041i | −0.606708 | + | 0.525716i | −0.903144 | − | 0.429337i | \(-0.858747\pi\) |
0.296436 | + | 0.955053i | \(0.404202\pi\) | |||||||
\(882\) | −2.11787 | − | 0.255319i | −0.0713125 | − | 0.00859703i | ||||
\(883\) | 10.7479 | − | 36.6040i | 0.361695 | − | 1.23182i | −0.554870 | − | 0.831937i | \(-0.687232\pi\) |
0.916566 | − | 0.399884i | \(-0.130950\pi\) | |||||||
\(884\) | −1.87258 | − | 5.44483i | −0.0629818 | − | 0.183129i | ||||
\(885\) | 17.2085 | − | 26.7770i | 0.578459 | − | 0.900099i | ||||
\(886\) | −25.9997 | − | 28.6568i | −0.873477 | − | 0.962743i | ||||
\(887\) | −22.8778 | − | 19.8237i | −0.768160 | − | 0.665614i | 0.179908 | − | 0.983683i | \(-0.442420\pi\) |
−0.948067 | + | 0.318069i | \(0.896966\pi\) | |||||||
\(888\) | −19.6542 | + | 10.6574i | −0.659552 | + | 0.357640i | ||||
\(889\) | 2.47123 | − | 0.355310i | 0.0828825 | − | 0.0119167i | ||||
\(890\) | −60.5149 | + | 29.3234i | −2.02846 | + | 0.982922i | ||||
\(891\) | −14.2906 | − | 31.2921i | −0.478754 | − | 1.04832i | ||||
\(892\) | −3.85826 | + | 15.7696i | −0.129184 | + | 0.528006i | ||||
\(893\) | 8.02917 | + | 3.66680i | 0.268686 | + | 0.122705i | ||||
\(894\) | 47.6042 | + | 20.4403i | 1.59212 | + | 0.683626i | ||||
\(895\) | −41.0515 | + | 26.3822i | −1.37220 | + | 0.881860i | ||||
\(896\) | −2.47027 | − | 0.680022i | −0.0825259 | − | 0.0227179i | ||||
\(897\) | −16.5874 | + | 43.5560i | −0.553837 | + | 1.45429i | ||||
\(898\) | 6.89162 | − | 25.6199i | 0.229976 | − | 0.854946i | ||||
\(899\) | 3.63102 | + | 5.64997i | 0.121101 | + | 0.188437i | ||||
\(900\) | −1.61401 | + | 2.04416i | −0.0538004 | + | 0.0681388i | ||||
\(901\) | −1.23899 | + | 2.71300i | −0.0412766 | + | 0.0903832i | ||||
\(902\) | −0.389239 | − | 17.0508i | −0.0129602 | − | 0.567728i | ||||
\(903\) | −1.22849 | + | 0.561034i | −0.0408817 | + | 0.0186701i | ||||
\(904\) | −0.298915 | + | 4.01422i | −0.00994176 | + | 0.133511i | ||||
\(905\) | −0.149997 | − | 1.04325i | −0.00498606 | − | 0.0346788i | ||||
\(906\) | −8.21030 | + | 13.4403i | −0.272769 | + | 0.446525i | ||||
\(907\) | −35.7471 | + | 41.2544i | −1.18696 | + | 1.36983i | −0.274031 | + | 0.961721i | \(0.588357\pi\) |
−0.912933 | + | 0.408109i | \(0.866188\pi\) | |||||||
\(908\) | −18.4574 | − | 35.9745i | −0.612529 | − | 1.19385i | ||||
\(909\) | 1.18766 | + | 0.763265i | 0.0393923 | + | 0.0253159i | ||||
\(910\) | −5.12781 | + | 3.46331i | −0.169985 | + | 0.114808i | ||||
\(911\) | 46.1314 | + | 13.5454i | 1.52840 | + | 0.448779i | 0.934561 | − | 0.355804i | \(-0.115793\pi\) |
0.593840 | + | 0.804583i | \(0.297611\pi\) | |||||||
\(912\) | −6.01609 | − | 7.71183i | −0.199213 | − | 0.255364i | ||||
\(913\) | −19.7293 | − | 22.7689i | −0.652946 | − | 0.753540i | ||||
\(914\) | −2.56954 | − | 15.3722i | −0.0849929 | − | 0.508467i | ||||
\(915\) | 15.3218 | + | 52.1813i | 0.506524 | + | 1.72506i | ||||
\(916\) | −9.77747 | − | 13.7874i | −0.323057 | − | 0.455548i | ||||
\(917\) | −3.69576 | − | 0.531369i | −0.122045 | − | 0.0175474i | ||||
\(918\) | −1.13856 | − | 3.57374i | −0.0375780 | − | 0.117951i | ||||
\(919\) | 5.18549 | 0.171053 | 0.0855267 | − | 0.996336i | \(-0.472743\pi\) | ||||
0.0855267 | + | 0.996336i | \(0.472743\pi\) | |||||||
\(920\) | −5.96566 | − | 44.5898i | −0.196682 | − | 1.47008i | ||||
\(921\) | 6.22727 | 0.205196 | ||||||||
\(922\) | −3.63055 | − | 11.3957i | −0.119566 | − | 0.375296i | ||||
\(923\) | −27.1577 | − | 3.90469i | −0.893907 | − | 0.128524i | ||||
\(924\) | 1.81119 | + | 2.55399i | 0.0595838 | + | 0.0840202i | ||||
\(925\) | −8.00861 | − | 27.2748i | −0.263321 | − | 0.896790i | ||||
\(926\) | −8.24312 | − | 49.3142i | −0.270886 | − | 1.62056i | ||||
\(927\) | 2.36531 | + | 2.72971i | 0.0776869 | + | 0.0896555i | ||||
\(928\) | −1.58456 | − | 3.75075i | −0.0520157 | − | 0.123124i | ||||
\(929\) | −5.81700 | − | 1.70802i | −0.190849 | − | 0.0560384i | 0.184911 | − | 0.982755i | \(-0.440800\pi\) |
−0.375761 | + | 0.926717i | \(0.622618\pi\) | |||||||
\(930\) | −60.5000 | + | 40.8616i | −1.98387 | + | 1.33990i | ||||
\(931\) | 8.56838 | + | 5.50656i | 0.280817 | + | 0.180470i | ||||
\(932\) | −0.0110190 | − | 0.0214766i | −0.000360939 | − | 0.000703490i | ||||
\(933\) | −19.9305 | + | 23.0010i | −0.652494 | + | 0.753018i | ||||
\(934\) | −24.1820 | + | 39.5861i | −0.791260 | + | 1.29530i | ||||
\(935\) | −0.966544 | − | 6.72246i | −0.0316094 | − | 0.219848i | ||||
\(936\) | 3.56697 | + | 0.265611i | 0.116590 | + | 0.00868176i | ||||
\(937\) | 23.3197 | − | 10.6498i | 0.761822 | − | 0.347912i | 0.00367246 | − | 0.999993i | \(-0.498831\pi\) |
0.758149 | + | 0.652081i | \(0.226104\pi\) | |||||||
\(938\) | 0.0889563 | + | 3.89676i | 0.00290452 | + | 0.127234i | ||||
\(939\) | 5.68533 | − | 12.4491i | 0.185534 | − | 0.406262i | ||||
\(940\) | −24.7527 | + | 31.3495i | −0.807343 | + | 1.02251i | ||||
\(941\) | 17.8794 | + | 27.8210i | 0.582853 | + | 0.906937i | 0.999998 | − | 0.00190261i | \(-0.000605621\pi\) |
−0.417145 | + | 0.908840i | \(0.636969\pi\) | |||||||
\(942\) | −12.0200 | + | 44.6848i | −0.391633 | + | 1.45591i | ||||
\(943\) | −9.93690 | + | 9.80124i | −0.323590 | + | 0.319172i | ||||
\(944\) | 19.9742 | − | 11.4284i | 0.650106 | − | 0.371964i | ||||
\(945\) | −3.39093 | + | 2.17922i | −0.110307 | + | 0.0708900i | ||||
\(946\) | 19.2501 | + | 8.26559i | 0.625873 | + | 0.268737i | ||||
\(947\) | 7.00174 | + | 3.19759i | 0.227526 | + | 0.103908i | 0.525916 | − | 0.850536i | \(-0.323722\pi\) |
−0.298390 | + | 0.954444i | \(0.596450\pi\) | |||||||
\(948\) | 1.63181 | − | 6.66957i | 0.0529987 | − | 0.216618i | ||||
\(949\) | 16.6199 | + | 36.3926i | 0.539506 | + | 1.18135i | ||||
\(950\) | 11.1911 | − | 5.42279i | 0.363086 | − | 0.175939i | ||||
\(951\) | −12.0980 | + | 1.73943i | −0.392305 | + | 0.0564050i | ||||
\(952\) | 0.150889 | + | 0.278267i | 0.00489036 | + | 0.00901868i | ||||
\(953\) | 31.2472 | + | 27.0759i | 1.01220 | + | 0.877073i | 0.992440 | − | 0.122732i | \(-0.0391654\pi\) |
0.0197566 | + | 0.999805i | \(0.493711\pi\) | |||||||
\(954\) | −1.24496 | − | 1.37219i | −0.0403070 | − | 0.0444262i | ||||
\(955\) | −24.2335 | + | 37.7081i | −0.784178 | + | 1.22021i | ||||
\(956\) | −2.38109 | − | 6.92340i | −0.0770101 | − | 0.223919i | ||||
\(957\) | −1.40183 | + | 4.77420i | −0.0453148 | + | 0.154328i | ||||
\(958\) | −14.8425 | − | 1.78933i | −0.479540 | − | 0.0578107i | ||||
\(959\) | −0.123471 | + | 0.106988i | −0.00398708 | + | 0.00345482i | ||||
\(960\) | 40.3680 | − | 18.1506i | 1.30287 | − | 0.585809i | ||||
\(961\) | 53.7917 | − | 15.7947i | 1.73522 | − | 0.509506i | ||||
\(962\) | −24.8845 | + | 30.0788i | −0.802310 | + | 0.969779i | ||||
\(963\) | 0.0520862 | − | 0.362267i | 0.00167845 | − | 0.0116739i | ||||
\(964\) | 0.931758 | + | 20.3974i | 0.0300099 | + | 0.656955i | ||||
\(965\) | 56.5589i | 1.82070i | ||||||||
\(966\) | 0.504650 | − | 2.51212i | 0.0162369 | − | 0.0808260i | ||||
\(967\) | 4.17765i | 0.134344i | 0.997741 | + | 0.0671721i | \(0.0213976\pi\) | ||||
−0.997741 | + | 0.0671721i | \(0.978602\pi\) | |||||||
\(968\) | 3.76039 | − | 17.0459i | 0.120863 | − | 0.547874i | ||||
\(969\) | −0.171971 | + | 1.19609i | −0.00552452 | + | 0.0384238i | ||||
\(970\) | 3.40381 | + | 2.81601i | 0.109290 | + | 0.0904166i | ||||
\(971\) | −22.7195 | + | 6.67106i | −0.729104 | + | 0.214084i | −0.625158 | − | 0.780498i | \(-0.714965\pi\) |
−0.103947 | + | 0.994583i | \(0.533147\pi\) | |||||||
\(972\) | 4.48154 | + | 0.436762i | 0.143746 | + | 0.0140091i | ||||
\(973\) | −1.85834 | + | 1.61026i | −0.0595755 | + | 0.0516225i | ||||
\(974\) | −0.0672421 | + | 0.557774i | −0.00215458 | + | 0.0178722i | ||||
\(975\) | 16.4254 | − | 55.9399i | 0.526035 | − | 1.79151i | ||||
\(976\) | −7.59181 | + | 38.5792i | −0.243008 | + | 1.23489i | ||||
\(977\) | 15.4331 | − | 24.0144i | 0.493749 | − | 0.768289i | −0.501551 | − | 0.865128i | \(-0.667237\pi\) |
0.995300 | + | 0.0968393i | \(0.0308733\pi\) | |||||||
\(978\) | −5.04168 | + | 4.57421i | −0.161215 | + | 0.146267i | ||||
\(979\) | 44.9003 | + | 38.9063i | 1.43502 | + | 1.24345i | ||||
\(980\) | −33.4194 | + | 31.7411i | −1.06754 | + | 1.01393i | ||||
\(981\) | −2.18789 | + | 0.314572i | −0.0698540 | + | 0.0100435i | ||||
\(982\) | −14.9743 | − | 30.9025i | −0.477848 | − | 0.986138i | ||||
\(983\) | −18.0583 | − | 39.5422i | −0.575971 | − | 1.26120i | −0.943557 | − | 0.331210i | \(-0.892543\pi\) |
0.367586 | − | 0.929989i | \(-0.380184\pi\) | |||||||
\(984\) | −12.0330 | − | 6.61629i | −0.383597 | − | 0.210920i | ||||
\(985\) | 14.7674 | + | 6.74406i | 0.470530 | + | 0.214884i | ||||
\(986\) | −0.198475 | + | 0.462236i | −0.00632072 | + | 0.0147206i | ||||
\(987\) | −1.91388 | + | 1.22998i | −0.0609196 | + | 0.0391507i | ||||
\(988\) | −14.7734 | − | 8.56788i | −0.470003 | − | 0.272581i | ||||
\(989\) | −5.88078 | − | 16.1041i | −0.186998 | − | 0.512082i | ||||
\(990\) | 4.07420 | + | 1.09594i | 0.129486 | + | 0.0348312i | ||||
\(991\) | 5.81282 | + | 9.04493i | 0.184650 | + | 0.287322i | 0.921222 | − | 0.389038i | \(-0.127193\pi\) |
−0.736571 | + | 0.676360i | \(0.763556\pi\) | |||||||
\(992\) | −52.4393 | + | 6.01056i | −1.66495 | + | 0.190835i | ||||
\(993\) | 13.6012 | − | 29.7825i | 0.431621 | − | 0.945118i | ||||
\(994\) | 1.50799 | − | 0.0344247i | 0.0478304 | − | 0.00109188i | ||||
\(995\) | 41.4393 | − | 18.9247i | 1.31371 | − | 0.599953i | ||||
\(996\) | −23.8277 | + | 4.54421i | −0.755010 | + | 0.143989i | ||||
\(997\) | −8.06259 | − | 56.0766i | −0.255345 | − | 1.77596i | −0.564978 | − | 0.825106i | \(-0.691115\pi\) |
0.309633 | − | 0.950856i | \(-0.399794\pi\) | |||||||
\(998\) | 27.4947 | + | 16.7957i | 0.870329 | + | 0.531659i | ||||
\(999\) | −16.6530 | + | 19.2186i | −0.526878 | + | 0.608050i |
(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 | 92.2.h.a.11.7 | yes | 100 | |
3.2 | odd | 2 | 828.2.u.a.379.4 | 100 | |||
4.3 | odd | 2 | inner | 92.2.h.a.11.3 | ✓ | 100 | |
12.11 | even | 2 | 828.2.u.a.379.8 | 100 | |||
23.21 | odd | 22 | inner | 92.2.h.a.67.3 | yes | 100 | |
69.44 | even | 22 | 828.2.u.a.343.8 | 100 | |||
92.67 | even | 22 | inner | 92.2.h.a.67.7 | yes | 100 | |
276.251 | odd | 22 | 828.2.u.a.343.4 | 100 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
92.2.h.a.11.3 | ✓ | 100 | 4.3 | odd | 2 | inner | |
92.2.h.a.11.7 | yes | 100 | 1.1 | even | 1 | trivial | |
92.2.h.a.67.3 | yes | 100 | 23.21 | odd | 22 | inner | |
92.2.h.a.67.7 | yes | 100 | 92.67 | even | 22 | inner | |
828.2.u.a.343.4 | 100 | 276.251 | odd | 22 | |||
828.2.u.a.343.8 | 100 | 69.44 | even | 22 | |||
828.2.u.a.379.4 | 100 | 3.2 | odd | 2 | |||
828.2.u.a.379.8 | 100 | 12.11 | even | 2 |