Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [503,2,Mod(2,503)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(503, base_ring=CyclotomicField(502))
chi = DirichletCharacter(H, H._module([202]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("503.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 503 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 503.c (of order \(251\), degree \(250\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.01647522167\) |
Analytic rank: | \(0\) |
Dimension: | \(10250\) |
Relative dimension: | \(41\) over \(\Q(\zeta_{251})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{251}]$ |
Embedding invariants
Embedding label | 2.3 | ||
Character | \(\chi\) | \(=\) | 503.2 |
Dual form | 503.2.c.a.252.3 |
$q$-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 \(\left(\mathbb{Z}/503\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{101}{251}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.53474 | − | 1.88959i | −1.08522 | − | 1.33615i | −0.937841 | − | 0.347066i | \(-0.887178\pi\) |
−0.147383 | − | 0.989080i | \(-0.547085\pi\) | |||||||
\(3\) | 0.404749 | − | 0.350314i | 0.233682 | − | 0.202254i | −0.529729 | − | 0.848167i | \(-0.677706\pi\) |
0.763411 | + | 0.645913i | \(0.223523\pi\) | |||||||
\(4\) | −0.805040 | + | 3.84256i | −0.402520 | + | 1.92128i | ||||
\(5\) | 1.19914 | + | 3.78712i | 0.536272 | + | 1.69365i | 0.706045 | + | 0.708167i | \(0.250477\pi\) |
−0.169773 | + | 0.985483i | \(0.554303\pi\) | |||||||
\(6\) | −1.28313 | − | 0.227171i | −0.523837 | − | 0.0927423i | ||||
\(7\) | 1.44952 | − | 4.20876i | 0.547867 | − | 1.59076i | −0.237272 | − | 0.971443i | \(-0.576253\pi\) |
0.785140 | − | 0.619319i | \(-0.212591\pi\) | |||||||
\(8\) | 4.16812 | − | 2.14681i | 1.47365 | − | 0.759013i | ||||
\(9\) | −0.389221 | + | 2.68540i | −0.129740 | + | 0.895133i | ||||
\(10\) | 5.31575 | − | 8.07812i | 1.68099 | − | 2.55453i | ||||
\(11\) | −4.69973 | + | 1.52053i | −1.41702 | + | 0.458458i | −0.913964 | − | 0.405795i | \(-0.866995\pi\) |
−0.503058 | + | 0.864253i | \(0.667792\pi\) | |||||||
\(12\) | 1.02026 | + | 1.83729i | 0.294525 | + | 0.530380i | ||||
\(13\) | −3.02507 | + | 1.02072i | −0.839003 | + | 0.283096i | −0.706170 | − | 0.708042i | \(-0.749579\pi\) |
−0.132833 | + | 0.991138i | \(0.542407\pi\) | |||||||
\(14\) | −10.1775 | + | 3.72034i | −2.72005 | + | 0.994302i | ||||
\(15\) | 1.81203 | + | 1.11275i | 0.467864 | + | 0.287312i | ||||
\(16\) | −3.26191 | − | 1.42953i | −0.815477 | − | 0.357381i | ||||
\(17\) | 3.92530 | + | 1.95998i | 0.952025 | + | 0.475365i | 0.854261 | − | 0.519845i | \(-0.174010\pi\) |
0.0977640 | + | 0.995210i | \(0.468831\pi\) | |||||||
\(18\) | 5.67167 | − | 3.38591i | 1.33682 | − | 0.798067i | ||||
\(19\) | −0.390620 | − | 0.876362i | −0.0896143 | − | 0.201051i | 0.863020 | − | 0.505170i | \(-0.168570\pi\) |
−0.952634 | + | 0.304119i | \(0.901638\pi\) | |||||||
\(20\) | −15.5176 | + | 1.55900i | −3.46984 | + | 0.348602i | ||||
\(21\) | −0.887696 | − | 2.21128i | −0.193711 | − | 0.482540i | ||||
\(22\) | 10.0860 | + | 6.54696i | 2.15035 | + | 1.39582i | ||||
\(23\) | −0.964553 | + | 3.33403i | −0.201123 | + | 0.695193i | 0.794951 | + | 0.606673i | \(0.207496\pi\) |
−0.996074 | + | 0.0885194i | \(0.971786\pi\) | |||||||
\(24\) | 0.934982 | − | 2.32907i | 0.190852 | − | 0.475419i | ||||
\(25\) | −8.81554 | + | 6.20473i | −1.76311 | + | 1.24095i | ||||
\(26\) | 6.57143 | + | 4.14962i | 1.28876 | + | 0.813808i | ||||
\(27\) | 1.64910 | + | 2.57570i | 0.317369 | + | 0.495693i | ||||
\(28\) | 15.0055 | + | 8.95809i | 2.83577 | + | 1.69292i | ||||
\(29\) | −0.393144 | + | 3.29077i | −0.0730049 | + | 0.611081i | 0.908258 | + | 0.418410i | \(0.137412\pi\) |
−0.981263 | + | 0.192672i | \(0.938285\pi\) | |||||||
\(30\) | −0.678336 | − | 5.13179i | −0.123847 | − | 0.936932i | ||||
\(31\) | 0.718971 | + | 8.81784i | 0.129131 | + | 1.58373i | 0.669830 | + | 0.742515i | \(0.266367\pi\) |
−0.540699 | + | 0.841216i | \(0.681840\pi\) | |||||||
\(32\) | −0.188059 | − | 0.681892i | −0.0332444 | − | 0.120543i | ||||
\(33\) | −1.36955 | + | 2.26181i | −0.238407 | + | 0.393731i | ||||
\(34\) | −2.32074 | − | 10.4253i | −0.398003 | − | 1.78792i | ||||
\(35\) | 17.6772 | + | 0.442600i | 2.98800 | + | 0.0748131i | ||||
\(36\) | −10.0055 | − | 3.65746i | −1.66758 | − | 0.609577i | ||||
\(37\) | −1.34087 | − | 1.69379i | −0.220437 | − | 0.278457i | 0.661377 | − | 0.750054i | \(-0.269972\pi\) |
−0.881814 | + | 0.471597i | \(0.843678\pi\) | |||||||
\(38\) | −1.05647 | + | 2.08310i | −0.171382 | + | 0.337923i | ||||
\(39\) | −0.866821 | + | 1.47286i | −0.138803 | + | 0.235846i | ||||
\(40\) | 13.1284 | + | 13.2108i | 2.07578 | + | 2.08881i | ||||
\(41\) | −0.940536 | + | 4.78708i | −0.146887 | + | 0.747617i | 0.833805 | + | 0.552059i | \(0.186158\pi\) |
−0.980692 | + | 0.195558i | \(0.937348\pi\) | |||||||
\(42\) | −2.81604 | + | 5.07112i | −0.434524 | + | 0.782490i | ||||
\(43\) | 0.0635880 | − | 0.346518i | 0.00969708 | − | 0.0528435i | −0.978373 | − | 0.206848i | \(-0.933679\pi\) |
0.988070 | + | 0.154005i | \(0.0492172\pi\) | |||||||
\(44\) | −2.05928 | − | 19.2831i | −0.310448 | − | 2.90704i | ||||
\(45\) | −10.6366 | + | 1.74615i | −1.58562 | + | 0.260300i | ||||
\(46\) | 7.78030 | − | 3.29424i | 1.14714 | − | 0.485710i | ||||
\(47\) | 6.69379 | − | 0.251463i | 0.976390 | − | 0.0366796i | 0.455440 | − | 0.890267i | \(-0.349482\pi\) |
0.520950 | + | 0.853587i | \(0.325578\pi\) | |||||||
\(48\) | −1.82104 | + | 0.564093i | −0.262844 | + | 0.0814199i | ||||
\(49\) | −10.0971 | − | 7.89097i | −1.44244 | − | 1.12728i | ||||
\(50\) | 25.2540 | + | 7.13515i | 3.57145 | + | 1.00906i | ||||
\(51\) | 2.27537 | − | 0.581787i | 0.318615 | − | 0.0814665i | ||||
\(52\) | −1.48687 | − | 12.4457i | −0.206192 | − | 1.72591i | ||||
\(53\) | 1.10653 | − | 2.48253i | 0.151994 | − | 0.341001i | −0.821324 | − | 0.570462i | \(-0.806764\pi\) |
0.973318 | + | 0.229461i | \(0.0736964\pi\) | |||||||
\(54\) | 2.33610 | − | 7.06915i | 0.317903 | − | 0.961989i | ||||
\(55\) | −11.3941 | − | 15.9751i | −1.53638 | − | 2.15408i | ||||
\(56\) | −2.99366 | − | 20.6545i | −0.400044 | − | 2.76007i | ||||
\(57\) | −0.465104 | − | 0.217867i | −0.0616046 | − | 0.0288572i | ||||
\(58\) | 6.82160 | − | 4.30759i | 0.895720 | − | 0.565615i | ||||
\(59\) | 4.96991 | − | 11.9455i | 0.647028 | − | 1.55518i | −0.174283 | − | 0.984696i | \(-0.555761\pi\) |
0.821311 | − | 0.570481i | \(-0.193243\pi\) | |||||||
\(60\) | −5.73459 | + | 6.06703i | −0.740332 | + | 0.783250i | ||||
\(61\) | −1.87880 | − | 3.10285i | −0.240555 | − | 0.397279i | 0.711747 | − | 0.702436i | \(-0.247904\pi\) |
−0.952302 | + | 0.305157i | \(0.901291\pi\) | |||||||
\(62\) | 15.5587 | − | 14.8916i | 1.97596 | − | 1.89124i | ||||
\(63\) | 10.7380 | + | 5.53068i | 1.35286 | + | 0.696800i | ||||
\(64\) | −5.13591 | + | 7.20081i | −0.641989 | + | 0.900101i | ||||
\(65\) | −7.49307 | − | 10.2323i | −0.929401 | − | 1.26916i | ||||
\(66\) | 6.37581 | − | 0.883406i | 0.784807 | − | 0.108740i | ||||
\(67\) | −0.266490 | + | 0.163650i | −0.0325569 | + | 0.0199930i | −0.539482 | − | 0.841997i | \(-0.681380\pi\) |
0.506925 | + | 0.861990i | \(0.330782\pi\) | |||||||
\(68\) | −10.6914 | + | 13.5053i | −1.29652 | + | 1.63776i | ||||
\(69\) | 0.777554 | + | 1.68734i | 0.0936065 | + | 0.203132i | ||||
\(70\) | −26.2936 | − | 34.0821i | −3.14269 | − | 4.07359i | ||||
\(71\) | 2.47785 | + | 15.7081i | 0.294067 | + | 1.86421i | 0.473987 | + | 0.880532i | \(0.342814\pi\) |
−0.179920 | + | 0.983681i | \(0.557584\pi\) | |||||||
\(72\) | 4.14273 | + | 12.0286i | 0.488225 | + | 1.41759i | ||||
\(73\) | 6.17975 | + | 5.91480i | 0.723286 | + | 0.692275i | 0.960218 | − | 0.279251i | \(-0.0900862\pi\) |
−0.236932 | + | 0.971526i | \(0.576142\pi\) | |||||||
\(74\) | −1.14269 | + | 5.13321i | −0.132835 | + | 0.596724i | ||||
\(75\) | −1.39447 | + | 5.59956i | −0.161020 | + | 0.646582i | ||||
\(76\) | 3.68194 | − | 0.795474i | 0.422347 | − | 0.0912471i | ||||
\(77\) | −0.412788 | + | 21.9841i | −0.0470415 | + | 2.50532i | ||||
\(78\) | 4.11345 | − | 0.622510i | 0.465756 | − | 0.0704854i | ||||
\(79\) | −0.885852 | − | 15.7113i | −0.0996662 | − | 1.76766i | −0.514239 | − | 0.857647i | \(-0.671926\pi\) |
0.414573 | − | 0.910016i | \(-0.363931\pi\) | |||||||
\(80\) | 1.50229 | − | 14.0674i | 0.167961 | − | 1.57279i | ||||
\(81\) | −6.23562 | − | 1.84637i | −0.692847 | − | 0.205152i | ||||
\(82\) | 10.4891 | − | 5.56968i | 1.15833 | − | 0.615069i | ||||
\(83\) | 3.78974 | + | 7.24616i | 0.415978 | + | 0.795370i | 0.999864 | − | 0.0164657i | \(-0.00524144\pi\) |
−0.583886 | + | 0.811836i | \(0.698469\pi\) | |||||||
\(84\) | 9.21160 | − | 1.63086i | 1.00507 | − | 0.177941i | ||||
\(85\) | −2.71568 | + | 17.2159i | −0.294557 | + | 1.86732i | ||||
\(86\) | −0.752370 | + | 0.411659i | −0.0811301 | + | 0.0443903i | ||||
\(87\) | 0.993679 | + | 1.46966i | 0.106534 | + | 0.157564i | ||||
\(88\) | −16.3247 | + | 16.4272i | −1.74022 | + | 1.75115i | ||||
\(89\) | 1.52200 | + | 5.80102i | 0.161331 | + | 0.614907i | 0.997764 | + | 0.0668367i | \(0.0212907\pi\) |
−0.836432 | + | 0.548070i | \(0.815363\pi\) | |||||||
\(90\) | 19.6240 | + | 17.4191i | 2.06855 | + | 1.83613i | ||||
\(91\) | −0.0889379 | + | 14.2113i | −0.00932323 | + | 1.48975i | ||||
\(92\) | −12.0347 | − | 6.39038i | −1.25470 | − | 0.666243i | ||||
\(93\) | 3.38001 | + | 3.31714i | 0.350491 | + | 0.343972i | ||||
\(94\) | −10.7484 | − | 12.2626i | −1.10861 | − | 1.26479i | ||||
\(95\) | 2.85047 | − | 2.53020i | 0.292453 | − | 0.259593i | ||||
\(96\) | −0.314993 | − | 0.210115i | −0.0321488 | − | 0.0214448i | ||||
\(97\) | −0.456881 | − | 1.93774i | −0.0463893 | − | 0.196748i | 0.945133 | − | 0.326687i | \(-0.105932\pi\) |
−0.991522 | + | 0.129939i | \(0.958522\pi\) | |||||||
\(98\) | 0.585643 | + | 31.1900i | 0.0591589 | + | 3.15066i | ||||
\(99\) | −2.25401 | − | 13.2125i | −0.226536 | − | 1.32790i | ||||
\(100\) | −16.7452 | − | 38.8693i | −1.67452 | − | 3.88693i | ||||
\(101\) | 5.51178 | − | 2.17270i | 0.548443 | − | 0.216192i | −0.0762133 | − | 0.997092i | \(-0.524283\pi\) |
0.624656 | + | 0.780900i | \(0.285239\pi\) | |||||||
\(102\) | −4.59143 | − | 3.40663i | −0.454620 | − | 0.337307i | ||||
\(103\) | 7.88662 | − | 1.60084i | 0.777092 | − | 0.157735i | 0.205923 | − | 0.978568i | \(-0.433980\pi\) |
0.571169 | + | 0.820833i | \(0.306490\pi\) | |||||||
\(104\) | −10.4176 | + | 10.7487i | −1.02153 | + | 1.05400i | ||||
\(105\) | 7.30989 | − | 6.01344i | 0.713372 | − | 0.586852i | ||||
\(106\) | −6.38920 | + | 1.71913i | −0.620574 | + | 0.166976i | ||||
\(107\) | −13.1883 | − | 0.495439i | −1.27496 | − | 0.0478959i | −0.608571 | − | 0.793499i | \(-0.708257\pi\) |
−0.666390 | + | 0.745603i | \(0.732161\pi\) | |||||||
\(108\) | −11.2249 | + | 4.26321i | −1.08011 | + | 0.410228i | ||||
\(109\) | 4.51379 | + | 4.77546i | 0.432342 | + | 0.457406i | 0.905984 | − | 0.423312i | \(-0.139133\pi\) |
−0.473642 | + | 0.880718i | \(0.657061\pi\) | |||||||
\(110\) | −12.6995 | + | 46.0478i | −1.21085 | + | 4.39048i | ||||
\(111\) | −1.13607 | − | 0.215833i | −0.107831 | − | 0.0204860i | ||||
\(112\) | −10.7447 | + | 11.6565i | −1.01528 | + | 1.10143i | ||||
\(113\) | −3.52297 | − | 7.16741i | −0.331413 | − | 0.674253i | 0.666015 | − | 0.745939i | \(-0.267999\pi\) |
−0.997427 | + | 0.0716855i | \(0.977162\pi\) | |||||||
\(114\) | 0.302133 | + | 1.21323i | 0.0282974 | + | 0.113629i | ||||
\(115\) | −13.7830 | + | 0.345096i | −1.28527 | + | 0.0321804i | ||||
\(116\) | −12.3285 | − | 4.15988i | −1.14467 | − | 0.386236i | ||||
\(117\) | −1.56362 | − | 8.52080i | −0.144556 | − | 0.787749i | ||||
\(118\) | −30.1997 | + | 8.94215i | −2.78011 | + | 0.823191i | ||||
\(119\) | 13.9389 | − | 13.6796i | 1.27778 | − | 1.25401i | ||||
\(120\) | 9.94163 | + | 0.748002i | 0.907543 | + | 0.0682829i | ||||
\(121\) | 10.8601 | − | 7.84886i | 0.987281 | − | 0.713533i | ||||
\(122\) | −2.97966 | + | 8.31222i | −0.269766 | + | 0.752553i | ||||
\(123\) | 1.29630 | + | 2.26705i | 0.116883 | + | 0.204413i | ||||
\(124\) | −34.4619 | − | 4.33602i | −3.09477 | − | 0.389386i | ||||
\(125\) | −18.2674 | − | 13.9114i | −1.63389 | − | 1.24427i | ||||
\(126\) | −6.02930 | − | 28.7786i | −0.537133 | − | 2.56380i | ||||
\(127\) | 4.40534 | − | 2.48252i | 0.390910 | − | 0.220288i | −0.282970 | − | 0.959129i | \(-0.591320\pi\) |
0.673880 | + | 0.738841i | \(0.264626\pi\) | |||||||
\(128\) | 20.0770 | − | 1.25809i | 1.77457 | − | 0.111200i | ||||
\(129\) | −0.0956529 | − | 0.162529i | −0.00842177 | − | 0.0143098i | ||||
\(130\) | −7.83502 | + | 29.8628i | −0.687176 | + | 2.61914i | ||||
\(131\) | 6.76717 | − | 4.51402i | 0.591250 | − | 0.394392i | −0.223075 | − | 0.974801i | \(-0.571609\pi\) |
0.814325 | + | 0.580409i | \(0.197107\pi\) | |||||||
\(132\) | −7.58863 | − | 7.08342i | −0.660505 | − | 0.616532i | ||||
\(133\) | −4.25461 | + | 0.373720i | −0.368921 | + | 0.0324057i | ||||
\(134\) | 0.718224 | + | 0.252399i | 0.0620451 | + | 0.0218040i | ||||
\(135\) | −7.77697 | + | 9.33395i | −0.669335 | + | 0.803338i | ||||
\(136\) | 20.5688 | − | 0.257459i | 1.76376 | − | 0.0220769i | ||||
\(137\) | 3.55913 | + | 9.19722i | 0.304077 | + | 0.785772i | 0.997848 | + | 0.0655757i | \(0.0208884\pi\) |
−0.693771 | + | 0.720196i | \(0.744052\pi\) | |||||||
\(138\) | 1.99505 | − | 4.05889i | 0.169830 | − | 0.345515i | ||||
\(139\) | 0.518267 | + | 0.111970i | 0.0439588 | + | 0.00949720i | 0.233101 | − | 0.972452i | \(-0.425113\pi\) |
−0.189142 | + | 0.981950i | \(0.560571\pi\) | |||||||
\(140\) | −15.9316 | + | 67.5696i | −1.34647 | + | 5.71067i | ||||
\(141\) | 2.62121 | − | 2.44671i | 0.220746 | − | 0.206050i | ||||
\(142\) | 25.8792 | − | 28.7900i | 2.17173 | − | 2.41600i | ||||
\(143\) | 12.6650 | − | 9.39682i | 1.05910 | − | 0.785802i | ||||
\(144\) | 5.10845 | − | 8.20312i | 0.425704 | − | 0.683594i | ||||
\(145\) | −12.9340 | + | 2.45722i | −1.07411 | + | 0.204061i | ||||
\(146\) | 1.69227 | − | 20.7549i | 0.140053 | − | 1.71769i | ||||
\(147\) | −6.85110 | + | 0.343289i | −0.565069 | + | 0.0283140i | ||||
\(148\) | 7.58793 | − | 3.78880i | 0.623724 | − | 0.311438i | ||||
\(149\) | −6.24472 | + | 9.75353i | −0.511587 | + | 0.799040i | −0.997172 | − | 0.0751491i | \(-0.976057\pi\) |
0.485585 | + | 0.874189i | \(0.338607\pi\) | |||||||
\(150\) | 12.7211 | − | 5.95887i | 1.03867 | − | 0.486540i | ||||
\(151\) | 7.73092 | + | 11.7484i | 0.629133 | + | 0.956068i | 0.999629 | + | 0.0272339i | \(0.00866989\pi\) |
−0.370496 | + | 0.928834i | \(0.620812\pi\) | |||||||
\(152\) | −3.50953 | − | 2.81419i | −0.284661 | − | 0.228261i | ||||
\(153\) | −6.79113 | + | 9.77812i | −0.549031 | + | 0.790514i | ||||
\(154\) | 42.1745 | − | 32.9598i | 3.39852 | − | 2.65598i | ||||
\(155\) | −32.5320 | + | 13.2967i | −2.61304 | + | 1.06801i | ||||
\(156\) | −4.96173 | − | 4.51653i | −0.397256 | − | 0.361611i | ||||
\(157\) | 2.49652 | − | 5.24391i | 0.199244 | − | 0.418509i | −0.778695 | − | 0.627403i | \(-0.784118\pi\) |
0.977938 | + | 0.208894i | \(0.0669863\pi\) | |||||||
\(158\) | −28.3285 | + | 25.7867i | −2.25369 | + | 2.05148i | ||||
\(159\) | −0.421795 | − | 1.39243i | −0.0334505 | − | 0.110427i | ||||
\(160\) | 2.35689 | − | 1.52989i | 0.186329 | − | 0.120948i | ||||
\(161\) | 12.6340 | + | 8.89231i | 0.995697 | + | 0.700812i | ||||
\(162\) | 6.08116 | + | 14.6165i | 0.477781 | + | 1.14838i | ||||
\(163\) | −23.7062 | − | 9.00362i | −1.85681 | − | 0.705218i | −0.970009 | − | 0.243069i | \(-0.921846\pi\) |
−0.886802 | − | 0.462149i | \(-0.847079\pi\) | |||||||
\(164\) | −17.6375 | − | 7.46786i | −1.37726 | − | 0.583142i | ||||
\(165\) | −10.2080 | − | 2.47439i | −0.794694 | − | 0.192631i | ||||
\(166\) | 7.87605 | − | 18.2820i | 0.611300 | − | 1.41896i | ||||
\(167\) | 0.437333 | − | 13.9719i | 0.0338419 | − | 1.08118i | −0.823785 | − | 0.566903i | \(-0.808142\pi\) |
0.857627 | − | 0.514273i | \(-0.171938\pi\) | |||||||
\(168\) | −8.44722 | − | 7.31115i | −0.651717 | − | 0.564067i | ||||
\(169\) | −2.23323 | + | 1.70070i | −0.171787 | + | 0.130823i | ||||
\(170\) | 36.6988 | − | 21.2903i | 2.81467 | − | 1.63289i | ||||
\(171\) | 2.50542 | − | 0.707870i | 0.191594 | − | 0.0541322i | ||||
\(172\) | 1.28033 | + | 0.523302i | 0.0976240 | + | 0.0399014i | ||||
\(173\) | −4.82859 | − | 10.1424i | −0.367111 | − | 0.771113i | 0.632884 | − | 0.774247i | \(-0.281871\pi\) |
−0.999995 | + | 0.00313373i | \(0.999003\pi\) | |||||||
\(174\) | 1.25203 | − | 4.13319i | 0.0949158 | − | 0.313337i | ||||
\(175\) | 13.3359 | + | 46.0964i | 1.00810 | + | 3.48456i | ||||
\(176\) | 17.5037 | + | 1.75854i | 1.31939 | + | 0.132555i | ||||
\(177\) | −2.17312 | − | 6.57597i | −0.163342 | − | 0.494280i | ||||
\(178\) | 8.62571 | − | 11.7790i | 0.646524 | − | 0.882873i | ||||
\(179\) | 5.50860 | − | 10.2192i | 0.411732 | − | 0.763817i | −0.587227 | − | 0.809422i | \(-0.699781\pi\) |
0.998960 | + | 0.0456051i | \(0.0145216\pi\) | |||||||
\(180\) | 1.85325 | − | 42.2777i | 0.138133 | − | 3.15119i | ||||
\(181\) | −1.58642 | − | 23.0087i | −0.117918 | − | 1.71022i | −0.572819 | − | 0.819682i | \(-0.694150\pi\) |
0.454902 | − | 0.890542i | \(-0.349674\pi\) | |||||||
\(182\) | 26.9902 | − | 21.6426i | 2.00065 | − | 1.60426i | ||||
\(183\) | −1.84741 | − | 0.597705i | −0.136565 | − | 0.0441836i | ||||
\(184\) | 3.13716 | + | 15.9673i | 0.231275 | + | 1.17713i | ||||
\(185\) | 4.80667 | − | 7.10911i | 0.353394 | − | 0.522672i | ||||
\(186\) | 1.08062 | − | 11.4778i | 0.0792352 | − | 0.841593i | ||||
\(187\) | −21.4281 | − | 3.24282i | −1.56697 | − | 0.237139i | ||||
\(188\) | −4.42251 | + | 25.9238i | −0.322545 | + | 1.89068i | ||||
\(189\) | 13.2309 | − | 3.20712i | 0.962406 | − | 0.233284i | ||||
\(190\) | −9.15579 | − | 1.50304i | −0.664231 | − | 0.109042i | ||||
\(191\) | −0.0114052 | + | 0.202281i | −0.000825251 | + | 0.0146365i | −0.998800 | − | 0.0489738i | \(-0.984405\pi\) |
0.997975 | + | 0.0636103i | \(0.0202615\pi\) | |||||||
\(192\) | 0.443790 | + | 4.71370i | 0.0320278 | + | 0.340182i | ||||
\(193\) | 9.55074 | + | 5.22568i | 0.687477 | + | 0.376153i | 0.785355 | − | 0.619046i | \(-0.212480\pi\) |
−0.0978779 | + | 0.995198i | \(0.531205\pi\) | |||||||
\(194\) | −2.96035 | + | 3.83724i | −0.212541 | + | 0.275498i | ||||
\(195\) | −6.61733 | − | 1.51659i | −0.473877 | − | 0.108605i | ||||
\(196\) | 38.4501 | − | 32.4461i | 2.74644 | − | 2.31758i | ||||
\(197\) | −12.2884 | + | 0.924573i | −0.875514 | + | 0.0658731i | −0.505168 | − | 0.863021i | \(-0.668570\pi\) |
−0.370346 | + | 0.928894i | \(0.620761\pi\) | |||||||
\(198\) | −21.5069 | + | 24.5368i | −1.52843 | + | 1.74376i | ||||
\(199\) | 0.118335 | + | 18.9086i | 0.00838853 | + | 1.34040i | 0.746349 | + | 0.665555i | \(0.231805\pi\) |
−0.737961 | + | 0.674844i | \(0.764211\pi\) | |||||||
\(200\) | −23.4238 | + | 44.7874i | −1.65631 | + | 3.16695i | ||||
\(201\) | −0.0505328 | + | 0.159592i | −0.00356431 | + | 0.0112568i | ||||
\(202\) | −12.5647 | − | 7.08051i | −0.884046 | − | 0.498183i | ||||
\(203\) | 13.2802 | + | 6.42469i | 0.932088 | + | 0.450925i | ||||
\(204\) | 0.403792 | + | 9.21160i | 0.0282711 | + | 0.644941i | ||||
\(205\) | −19.2571 | + | 2.17847i | −1.34497 | + | 0.152151i | ||||
\(206\) | −15.1288 | − | 12.4456i | −1.05408 | − | 0.867129i | ||||
\(207\) | −8.57777 | − | 3.88788i | −0.596196 | − | 0.270227i | ||||
\(208\) | 11.3266 | + | 0.994921i | 0.785362 | + | 0.0689854i | ||||
\(209\) | 3.16834 | + | 3.52471i | 0.219159 | + | 0.243809i | ||||
\(210\) | −22.5817 | − | 4.58368i | −1.55829 | − | 0.316304i | ||||
\(211\) | 3.89167 | − | 2.66691i | 0.267914 | − | 0.183598i | −0.423828 | − | 0.905743i | \(-0.639314\pi\) |
0.691742 | + | 0.722145i | \(0.256844\pi\) | |||||||
\(212\) | 8.64846 | + | 6.25045i | 0.593978 | + | 0.429283i | ||||
\(213\) | 6.50568 | + | 5.48983i | 0.445762 | + | 0.376157i | ||||
\(214\) | 19.3044 | + | 25.6809i | 1.31962 | + | 1.75551i | ||||
\(215\) | 1.38856 | − | 0.174709i | 0.0946987 | − | 0.0119151i | ||||
\(216\) | 12.4032 | + | 7.19552i | 0.843929 | + | 0.489593i | ||||
\(217\) | 38.1543 | + | 9.75566i | 2.59009 | + | 0.662257i | ||||
\(218\) | 2.09620 | − | 15.8583i | 0.141973 | − | 1.07406i | ||||
\(219\) | 4.57328 | + | 0.229154i | 0.309034 | + | 0.0154848i | ||||
\(220\) | 70.5580 | − | 30.9219i | 4.75702 | − | 2.08475i | ||||
\(221\) | −13.8749 | − | 1.92245i | −0.933326 | − | 0.129318i | ||||
\(222\) | 1.33573 | + | 2.47796i | 0.0896486 | + | 0.166310i | ||||
\(223\) | 6.63513 | − | 3.20994i | 0.444321 | − | 0.214953i | −0.199863 | − | 0.979824i | \(-0.564050\pi\) |
0.644184 | + | 0.764871i | \(0.277197\pi\) | |||||||
\(224\) | −3.14251 | − | 0.196921i | −0.209968 | − | 0.0131573i | ||||
\(225\) | −13.2310 | − | 26.0882i | −0.882066 | − | 1.73922i | ||||
\(226\) | −8.13667 | + | 17.6571i | −0.541243 | + | 1.17453i | ||||
\(227\) | 8.55598 | − | 1.96090i | 0.567880 | − | 0.130149i | 0.0702360 | − | 0.997530i | \(-0.477625\pi\) |
0.497644 | + | 0.867381i | \(0.334198\pi\) | |||||||
\(228\) | 1.21159 | − | 1.61180i | 0.0802398 | − | 0.106744i | ||||
\(229\) | 10.6921 | − | 18.6990i | 0.706553 | − | 1.23566i | −0.256551 | − | 0.966531i | \(-0.582586\pi\) |
0.963103 | − | 0.269131i | \(-0.0867366\pi\) | |||||||
\(230\) | 21.8054 | + | 25.5146i | 1.43780 | + | 1.68238i | ||||
\(231\) | 7.53425 | + | 9.04263i | 0.495717 | + | 0.594962i | ||||
\(232\) | 5.42601 | + | 14.5603i | 0.356235 | + | 0.955933i | ||||
\(233\) | −22.3099 | − | 0.279253i | −1.46157 | − | 0.0182945i | −0.722244 | − | 0.691638i | \(-0.756889\pi\) |
−0.739329 | + | 0.673344i | \(0.764857\pi\) | |||||||
\(234\) | −13.7011 | + | 16.0318i | −0.895671 | + | 1.04803i | ||||
\(235\) | 8.97912 | + | 25.0486i | 0.585733 | + | 1.63399i | ||||
\(236\) | 41.9005 | + | 28.7138i | 2.72749 | + | 1.86911i | ||||
\(237\) | −5.86244 | − | 6.04882i | −0.380807 | − | 0.392913i | ||||
\(238\) | −47.2414 | − | 5.34422i | −3.06221 | − | 0.346414i | ||||
\(239\) | 0.196866 | − | 2.85526i | 0.0127342 | − | 0.184691i | −0.986981 | − | 0.160836i | \(-0.948581\pi\) |
0.999715 | − | 0.0238556i | \(-0.00759419\pi\) | |||||||
\(240\) | −4.31997 | − | 6.22005i | −0.278853 | − | 0.401502i | ||||
\(241\) | 1.08566 | + | 0.336300i | 0.0699337 | + | 0.0216630i | 0.330663 | − | 0.943749i | \(-0.392728\pi\) |
−0.260729 | + | 0.965412i | \(0.583963\pi\) | |||||||
\(242\) | −31.4986 | − | 8.47523i | −2.02480 | − | 0.544809i | ||||
\(243\) | −11.5275 | + | 5.22485i | −0.739490 | + | 0.335175i | ||||
\(244\) | 13.4354 | − | 4.72148i | 0.860113 | − | 0.302262i | ||||
\(245\) | 17.7762 | − | 47.7012i | 1.13568 | − | 3.04752i | ||||
\(246\) | 2.29432 | − | 5.92881i | 0.146281 | − | 0.378007i | ||||
\(247\) | 2.07617 | + | 2.25234i | 0.132104 | + | 0.143313i | ||||
\(248\) | 21.9270 | + | 35.2103i | 1.39237 | + | 2.23586i | ||||
\(249\) | 4.07233 | + | 1.60528i | 0.258073 | + | 0.101730i | ||||
\(250\) | 1.74873 | + | 55.8683i | 0.110600 | + | 3.53342i | ||||
\(251\) | −1.32742 | + | 1.63434i | −0.0837857 | + | 0.103158i | −0.816403 | − | 0.577482i | \(-0.804035\pi\) |
0.732618 | + | 0.680640i | \(0.238298\pi\) | |||||||
\(252\) | −29.8965 | + | 36.8091i | −1.88330 | + | 2.31875i | ||||
\(253\) | −0.536363 | − | 17.1357i | −0.0337209 | − | 1.07731i | ||||
\(254\) | −11.4520 | − | 4.51428i | −0.718562 | − | 0.283251i | ||||
\(255\) | 4.93178 | + | 7.91943i | 0.308840 | + | 0.495934i | ||||
\(256\) | −21.2008 | − | 22.9998i | −1.32505 | − | 1.43749i | ||||
\(257\) | 2.55393 | − | 6.59966i | 0.159310 | − | 0.411675i | −0.829951 | − | 0.557836i | \(-0.811632\pi\) |
0.989261 | + | 0.146161i | \(0.0466916\pi\) | |||||||
\(258\) | −0.160311 | + | 0.430184i | −0.00998052 | + | 0.0267821i | ||||
\(259\) | −9.07236 | + | 3.18822i | −0.563729 | + | 0.198106i | ||||
\(260\) | 45.3505 | − | 20.5552i | 2.81252 | − | 1.27478i | ||||
\(261\) | −8.68402 | − | 2.33659i | −0.537527 | − | 0.144631i | ||||
\(262\) | −18.9155 | − | 5.85936i | −1.16860 | − | 0.361993i | ||||
\(263\) | −4.16956 | − | 6.00348i | −0.257106 | − | 0.370190i | 0.671659 | − | 0.740861i | \(-0.265582\pi\) |
−0.928765 | + | 0.370670i | \(0.879128\pi\) | |||||||
\(264\) | −0.852734 | + | 12.3677i | −0.0524821 | + | 0.761178i | ||||
\(265\) | 10.7285 | + | 1.21367i | 0.659047 | + | 0.0745551i | ||||
\(266\) | 7.23589 | + | 7.46592i | 0.443661 | + | 0.457765i | ||||
\(267\) | 2.64820 | + | 1.81478i | 0.162067 | + | 0.111063i | ||||
\(268\) | −0.414299 | − | 1.15575i | −0.0253073 | − | 0.0705986i | ||||
\(269\) | −8.48262 | + | 9.92558i | −0.517194 | + | 0.605173i | −0.955985 | − | 0.293416i | \(-0.905208\pi\) |
0.438791 | + | 0.898589i | \(0.355407\pi\) | |||||||
\(270\) | 29.5730 | + | 0.370164i | 1.79975 | + | 0.0225275i | ||||
\(271\) | −8.48536 | − | 22.7699i | −0.515449 | − | 1.38317i | −0.889997 | − | 0.455966i | \(-0.849294\pi\) |
0.374549 | − | 0.927207i | \(-0.377798\pi\) | |||||||
\(272\) | −10.0021 | − | 12.0046i | −0.606468 | − | 0.727885i | ||||
\(273\) | 4.94243 | + | 5.78318i | 0.299130 | + | 0.350014i | ||||
\(274\) | 11.9167 | − | 20.8406i | 0.719914 | − | 1.25903i | ||||
\(275\) | 31.9961 | − | 42.5649i | 1.92944 | − | 2.56676i | ||||
\(276\) | −7.10967 | + | 1.62942i | −0.427952 | + | 0.0980798i | ||||
\(277\) | −2.06311 | + | 4.47708i | −0.123960 | + | 0.269002i | −0.960174 | − | 0.279402i | \(-0.909864\pi\) |
0.836214 | + | 0.548404i | \(0.184764\pi\) | |||||||
\(278\) | −0.583825 | − | 1.15116i | −0.0350155 | − | 0.0690420i | ||||
\(279\) | −23.9593 | − | 1.50137i | −1.43440 | − | 0.0898845i | ||||
\(280\) | 74.6310 | − | 36.1049i | 4.46006 | − | 2.15768i | ||||
\(281\) | 14.1476 | + | 26.2457i | 0.843978 | + | 1.56569i | 0.824489 | + | 0.565879i | \(0.191463\pi\) |
0.0194891 | + | 0.999810i | \(0.493796\pi\) | |||||||
\(282\) | −8.64616 | − | 1.19798i | −0.514871 | − | 0.0713385i | ||||
\(283\) | −18.3021 | + | 8.02087i | −1.08795 | + | 0.476791i | −0.866905 | − | 0.498473i | \(-0.833894\pi\) |
−0.221043 | + | 0.975264i | \(0.570946\pi\) | |||||||
\(284\) | −62.3543 | − | 3.12439i | −3.70005 | − | 0.185399i | ||||
\(285\) | 0.267361 | − | 2.02266i | 0.0158371 | − | 0.119812i | ||||
\(286\) | −37.1936 | − | 9.51001i | −2.19930 | − | 0.562338i | ||||
\(287\) | 18.7844 | + | 10.8975i | 1.10881 | + | 0.643257i | ||||
\(288\) | 1.90435 | − | 0.239606i | 0.112215 | − | 0.0141189i | ||||
\(289\) | 1.35165 | + | 1.79812i | 0.0795087 | + | 0.105772i | ||||
\(290\) | 24.4934 | + | 20.6688i | 1.43830 | + | 1.21371i | ||||
\(291\) | −0.863739 | − | 0.624246i | −0.0506333 | − | 0.0365939i | ||||
\(292\) | −27.7029 | + | 18.9844i | −1.62119 | + | 1.11098i | ||||
\(293\) | 19.8269 | + | 4.02450i | 1.15830 | + | 0.235114i | 0.739624 | − | 0.673021i | \(-0.235003\pi\) |
0.418678 | + | 0.908135i | \(0.362494\pi\) | |||||||
\(294\) | 11.1633 | + | 12.4189i | 0.651058 | + | 0.724287i | ||||
\(295\) | 51.1988 | + | 4.49725i | 2.98091 | + | 0.261840i | ||||
\(296\) | −9.22514 | − | 4.18131i | −0.536201 | − | 0.243034i | ||||
\(297\) | −11.6667 | − | 9.59758i | −0.676973 | − | 0.556908i | ||||
\(298\) | 28.0142 | − | 3.16913i | 1.62282 | − | 0.183583i | ||||
\(299\) | −0.485264 | − | 11.0702i | −0.0280635 | − | 0.640206i | ||||
\(300\) | −20.3941 | − | 9.86623i | −1.17745 | − | 0.569627i | ||||
\(301\) | −1.36624 | − | 0.769912i | −0.0787487 | − | 0.0443770i | ||||
\(302\) | 10.3347 | − | 32.6390i | 0.594696 | − | 1.87816i | ||||
\(303\) | 1.46976 | − | 2.81025i | 0.0844355 | − | 0.161445i | ||||
\(304\) | 0.0213845 | + | 3.41701i | 0.00122648 | + | 0.195979i | ||||
\(305\) | 9.49790 | − | 10.8360i | 0.543848 | − | 0.620466i | ||||
\(306\) | 28.8993 | − | 2.17436i | 1.65206 | − | 0.124300i | ||||
\(307\) | 10.4142 | − | 8.78806i | 0.594372 | − | 0.501561i | −0.296974 | − | 0.954886i | \(-0.595977\pi\) |
0.891345 | + | 0.453325i | \(0.149762\pi\) | |||||||
\(308\) | −84.1429 | − | 19.2842i | −4.79449 | − | 1.09882i | ||||
\(309\) | 2.63130 | − | 3.41073i | 0.149690 | − | 0.194030i | ||||
\(310\) | 75.0534 | + | 41.0655i | 4.26275 | + | 2.33236i | ||||
\(311\) | 2.67786 | + | 28.4428i | 0.151848 | + | 1.61284i | 0.659787 | + | 0.751452i | \(0.270646\pi\) |
−0.507940 | + | 0.861393i | \(0.669593\pi\) | |||||||
\(312\) | −0.451061 | + | 7.99995i | −0.0255363 | + | 0.452908i | ||||
\(313\) | 28.3101 | + | 4.64747i | 1.60018 | + | 0.262691i | 0.894909 | − | 0.446248i | \(-0.147240\pi\) |
0.705270 | + | 0.708939i | \(0.250826\pi\) | |||||||
\(314\) | −13.7404 | + | 3.33062i | −0.775413 | + | 0.187958i | ||||
\(315\) | −8.06892 | + | 47.2982i | −0.454632 | + | 2.66495i | ||||
\(316\) | 61.0849 | + | 9.24431i | 3.43630 | + | 0.520033i | ||||
\(317\) | −2.33264 | + | 24.7761i | −0.131014 | + | 1.39156i | 0.646604 | + | 0.762826i | \(0.276189\pi\) |
−0.777618 | + | 0.628737i | \(0.783572\pi\) | |||||||
\(318\) | −1.98379 | + | 2.93404i | −0.111245 | + | 0.164533i | ||||
\(319\) | −3.15606 | − | 16.0635i | −0.176706 | − | 0.899385i | ||||
\(320\) | −33.4290 | − | 10.8155i | −1.86874 | − | 0.604605i | ||||
\(321\) | −5.51151 | + | 4.41952i | −0.307622 | + | 0.246673i | ||||
\(322\) | −2.58699 | − | 37.5205i | −0.144167 | − | 2.09093i | ||||
\(323\) | 0.184352 | − | 4.20559i | 0.0102576 | − | 0.234005i | ||||
\(324\) | 12.1147 | − | 22.4744i | 0.673039 | − | 1.24858i | ||||
\(325\) | 20.3343 | − | 27.7679i | 1.12795 | − | 1.54029i | ||||
\(326\) | 19.3696 | + | 58.6133i | 1.07278 | + | 3.24629i | ||||
\(327\) | 3.49986 | + | 0.351618i | 0.193543 | + | 0.0194445i | ||||
\(328\) | 6.35671 | + | 21.9723i | 0.350990 | + | 1.21322i | ||||
\(329\) | 8.64444 | − | 28.5371i | 0.476583 | − | 1.57330i | ||||
\(330\) | 10.9911 | + | 23.0866i | 0.605038 | + | 1.27087i | ||||
\(331\) | 11.6074 | + | 4.74425i | 0.638001 | + | 0.260767i | 0.674168 | − | 0.738578i | \(-0.264503\pi\) |
−0.0361661 | + | 0.999346i | \(0.511515\pi\) | |||||||
\(332\) | −30.8947 | + | 8.72887i | −1.69557 | + | 0.479059i | ||||
\(333\) | 5.07039 | − | 2.94151i | 0.277855 | − | 0.161194i | ||||
\(334\) | −27.0724 | + | 20.6168i | −1.48133 | + | 1.12810i | ||||
\(335\) | −0.939319 | − | 0.812990i | −0.0513205 | − | 0.0444184i | ||||
\(336\) | −0.265494 | + | 8.48197i | −0.0144839 | + | 0.462729i | ||||
\(337\) | 9.56471 | − | 22.2018i | 0.521023 | − | 1.20941i | −0.430712 | − | 0.902489i | \(-0.641738\pi\) |
0.951736 | − | 0.306919i | \(-0.0992982\pi\) | |||||||
\(338\) | 6.64107 | + | 1.60977i | 0.361226 | + | 0.0875601i | ||||
\(339\) | −3.93676 | − | 1.66686i | −0.213815 | − | 0.0905312i | ||||
\(340\) | −63.9668 | − | 24.2946i | −3.46908 | − | 1.31756i | ||||
\(341\) | −16.7868 | − | 40.3482i | −0.909056 | − | 2.18498i | ||||
\(342\) | −5.18275 | − | 3.64783i | −0.280251 | − | 0.197252i | ||||
\(343\) | −21.7109 | + | 14.0928i | −1.17228 | + | 0.760939i | ||||
\(344\) | −0.478868 | − | 1.58084i | −0.0258188 | − | 0.0852332i | ||||
\(345\) | −5.45775 | + | 4.96805i | −0.293836 | + | 0.267471i | ||||
\(346\) | −11.7544 | + | 24.6900i | −0.631921 | + | 1.32734i | ||||
\(347\) | −3.56301 | − | 3.24332i | −0.191273 | − | 0.174110i | 0.571862 | − | 0.820350i | \(-0.306221\pi\) |
−0.763135 | + | 0.646239i | \(0.776341\pi\) | |||||||
\(348\) | −6.44721 | + | 2.63514i | −0.345607 | + | 0.141258i | ||||
\(349\) | 8.56402 | − | 6.69287i | 0.458422 | − | 0.358261i | −0.359929 | − | 0.932980i | \(-0.617199\pi\) |
0.818351 | + | 0.574719i | \(0.194888\pi\) | |||||||
\(350\) | 66.6363 | − | 95.9454i | 3.56186 | − | 5.12850i | ||||
\(351\) | −7.61770 | − | 6.10841i | −0.406603 | − | 0.326043i | ||||
\(352\) | 1.92067 | + | 2.91876i | 0.102372 | + | 0.155570i | ||||
\(353\) | 25.5380 | − | 11.9626i | 1.35925 | − | 0.636707i | 0.399283 | − | 0.916828i | \(-0.369259\pi\) |
0.959965 | + | 0.280121i | \(0.0903746\pi\) | |||||||
\(354\) | −9.09075 | + | 14.1987i | −0.483168 | + | 0.754653i | ||||
\(355\) | −56.5173 | + | 28.2202i | −2.99962 | + | 1.49777i | ||||
\(356\) | −23.5160 | + | 1.17832i | −1.24635 | + | 0.0624509i | ||||
\(357\) | 0.849587 | − | 10.4198i | 0.0449649 | − | 0.551474i | ||||
\(358\) | −27.7644 | + | 5.27473i | −1.46739 | + | 0.278778i | ||||
\(359\) | −6.45824 | + | 10.3706i | −0.340853 | + | 0.547340i | −0.973959 | − | 0.226725i | \(-0.927198\pi\) |
0.633106 | + | 0.774065i | \(0.281780\pi\) | |||||||
\(360\) | −40.5862 | + | 30.1130i | −2.13908 | + | 1.58710i | ||||
\(361\) | 12.0863 | − | 13.4457i | 0.636119 | − | 0.707669i | ||||
\(362\) | −41.0424 | + | 38.3100i | −2.15714 | + | 2.01353i | ||||
\(363\) | 1.64605 | − | 6.98126i | 0.0863950 | − | 0.366421i | ||||
\(364\) | −54.5364 | − | 11.7825i | −2.85848 | − | 0.617568i | ||||
\(365\) | −14.9896 | + | 30.4961i | −0.784593 | + | 1.59624i | ||||
\(366\) | 1.70587 | + | 4.40818i | 0.0891674 | + | 0.230419i | ||||
\(367\) | −12.6357 | + | 0.158161i | −0.659580 | + | 0.00825594i | −0.341606 | − | 0.939843i | \(-0.610971\pi\) |
−0.317974 | + | 0.948099i | \(0.603003\pi\) | |||||||
\(368\) | 7.91236 | − | 9.49644i | 0.412460 | − | 0.495036i | ||||
\(369\) | −12.4891 | − | 4.38895i | −0.650159 | − | 0.228480i | ||||
\(370\) | −20.8103 | + | 1.82796i | −1.08188 | + | 0.0950310i | ||||
\(371\) | −8.84441 | − | 8.25560i | −0.459179 | − | 0.428609i | ||||
\(372\) | −15.4674 | + | 10.3175i | −0.801946 | + | 0.534936i | ||||
\(373\) | −8.73724 | + | 33.3016i | −0.452397 | + | 1.72429i | 0.212325 | + | 0.977199i | \(0.431896\pi\) |
−0.664722 | + | 0.747090i | \(0.731450\pi\) | |||||||
\(374\) | 26.7588 | + | 45.4672i | 1.38367 | + | 2.35105i | ||||
\(375\) | −12.2671 | + | 0.768695i | −0.633468 | + | 0.0396953i | ||||
\(376\) | 27.3607 | − | 15.4185i | 1.41102 | − | 0.795146i | ||||
\(377\) | −2.16967 | − | 10.3561i | −0.111744 | − | 0.533367i | ||||
\(378\) | −26.3661 | − | 20.0789i | −1.35613 | − | 1.03275i | ||||
\(379\) | 29.7906 | + | 3.74827i | 1.53024 | + | 0.192536i | 0.844597 | − | 0.535402i | \(-0.179840\pi\) |
0.685643 | + | 0.727938i | \(0.259521\pi\) | |||||||
\(380\) | 7.42772 | + | 12.9900i | 0.381034 | + | 0.666375i | ||||
\(381\) | 0.913393 | − | 2.54805i | 0.0467945 | − | 0.130540i | ||||
\(382\) | 0.399732 | − | 0.288897i | 0.0204521 | − | 0.0147812i | ||||
\(383\) | 1.51904 | + | 0.114292i | 0.0776194 | + | 0.00584003i | 0.113780 | − | 0.993506i | \(-0.463704\pi\) |
−0.0361607 | + | 0.999346i | \(0.511513\pi\) | |||||||
\(384\) | 7.68540 | − | 7.54245i | 0.392194 | − | 0.384899i | ||||
\(385\) | −83.7513 | + | 24.7988i | −4.26836 | + | 1.26386i | ||||
\(386\) | −4.78345 | − | 26.0671i | −0.243471 | − | 1.32678i | ||||
\(387\) | 0.905789 | + | 0.305631i | 0.0460439 | + | 0.0155361i | ||||
\(388\) | 7.81369 | − | 0.195638i | 0.396680 | − | 0.00993201i | ||||
\(389\) | 2.33921 | + | 9.39317i | 0.118602 | + | 0.476253i | 0.999993 | + | 0.00386360i | \(0.00122983\pi\) |
−0.881390 | + | 0.472389i | \(0.843392\pi\) | |||||||
\(390\) | 7.29013 | + | 14.8316i | 0.369150 | + | 0.751029i | ||||
\(391\) | −10.3208 | + | 11.1965i | −0.521944 | + | 0.566234i | ||||
\(392\) | −59.0263 | − | 11.2139i | −2.98128 | − | 0.566389i | ||||
\(393\) | 1.15768 | − | 4.19768i | 0.0583971 | − | 0.211745i | ||||
\(394\) | 20.6066 | + | 21.8012i | 1.03814 | + | 1.09833i | ||||
\(395\) | 58.4384 | − | 22.1949i | 2.94035 | − | 1.11675i | ||||
\(396\) | 52.5843 | + | 1.97541i | 2.64246 | + | 0.0992682i | ||||
\(397\) | 15.9697 | − | 4.29692i | 0.801496 | − | 0.215656i | 0.164353 | − | 0.986402i | \(-0.447447\pi\) |
0.637144 | + | 0.770745i | \(0.280116\pi\) | |||||||
\(398\) | 35.5481 | − | 29.2434i | 1.78186 | − | 1.46584i | ||||
\(399\) | −1.59113 | + | 1.64171i | −0.0796560 | + | 0.0821883i | ||||
\(400\) | 37.6253 | − | 7.63725i | 1.88127 | − | 0.381862i | ||||
\(401\) | −8.95072 | − | 6.64102i | −0.446978 | − | 0.331637i | 0.348830 | − | 0.937186i | \(-0.386579\pi\) |
−0.795808 | + | 0.605549i | \(0.792954\pi\) | |||||||
\(402\) | 0.379119 | − | 0.149446i | 0.0189087 | − | 0.00745367i | ||||
\(403\) | −11.1755 | − | 25.9407i | −0.556690 | − | 1.29220i | ||||
\(404\) | 3.91152 | + | 22.9285i | 0.194606 | + | 1.14073i | ||||
\(405\) | −0.484984 | − | 25.8291i | −0.0240990 | − | 1.28346i | ||||
\(406\) | −8.24158 | − | 34.9544i | −0.409023 | − | 1.73476i | ||||
\(407\) | 8.87718 | + | 5.92150i | 0.440025 | + | 0.293518i | ||||
\(408\) | 8.23501 | − | 7.30975i | 0.407694 | − | 0.361886i | ||||
\(409\) | 17.3522 | + | 19.7968i | 0.858010 | + | 0.978888i | 0.999940 | − | 0.0109887i | \(-0.00349788\pi\) |
−0.141929 | + | 0.989877i | \(0.545331\pi\) | |||||||
\(410\) | 33.6710 | + | 33.0447i | 1.66289 | + | 1.63196i | ||||
\(411\) | 4.66247 | + | 2.47575i | 0.229983 | + | 0.122120i | ||||
\(412\) | −0.197720 | + | 31.5936i | −0.00974097 | + | 1.55650i | ||||
\(413\) | −43.0719 | − | 38.2325i | −2.11943 | − | 1.88130i | ||||
\(414\) | 5.81810 | + | 22.1754i | 0.285944 | + | 1.08986i | ||||
\(415\) | −22.8976 | + | 23.0414i | −1.12400 | + | 1.13106i | ||||
\(416\) | 1.26491 | + | 1.87081i | 0.0620174 | + | 0.0917243i | ||||
\(417\) | 0.248993 | − | 0.136236i | 0.0121932 | − | 0.00667152i | ||||
\(418\) | 1.79770 | − | 11.3964i | 0.0879284 | − | 0.557416i | ||||
\(419\) | −1.92615 | + | 0.341014i | −0.0940986 | + | 0.0166596i | −0.221183 | − | 0.975232i | \(-0.570992\pi\) |
0.127084 | + | 0.991892i | \(0.459438\pi\) | |||||||
\(420\) | 17.2223 | + | 32.9298i | 0.840361 | + | 1.60681i | ||||
\(421\) | 1.36673 | − | 0.725729i | 0.0666104 | − | 0.0353699i | −0.435342 | − | 0.900265i | \(-0.643372\pi\) |
0.501952 | + | 0.864896i | \(0.332615\pi\) | |||||||
\(422\) | −11.0121 | − | 3.26068i | −0.536060 | − | 0.158727i | ||||
\(423\) | −1.93009 | + | 18.0734i | −0.0938441 | + | 0.878758i | ||||
\(424\) | −0.717360 | − | 12.7230i | −0.0348381 | − | 0.617883i | ||||
\(425\) | −46.7648 | + | 7.07716i | −2.26842 | + | 0.343293i | ||||
\(426\) | 0.389025 | − | 20.7185i | 0.0188483 | − | 1.00382i | ||||
\(427\) | −15.7825 | + | 3.40977i | −0.763769 | + | 0.165010i | ||||
\(428\) | 12.5209 | − | 50.2780i | 0.605219 | − | 2.43028i | ||||
\(429\) | 1.83429 | − | 8.24007i | 0.0885606 | − | 0.397834i | ||||
\(430\) | −2.46120 | − | 2.35567i | −0.118689 | − | 0.113601i | ||||
\(431\) | −8.19341 | − | 23.7900i | −0.394663 | − | 1.14593i | −0.949446 | − | 0.313930i | \(-0.898354\pi\) |
0.554783 | − | 0.831995i | \(-0.312801\pi\) | |||||||
\(432\) | −1.69718 | − | 10.7591i | −0.0816554 | − | 0.517648i | ||||
\(433\) | 21.4848 | + | 27.8489i | 1.03249 | + | 1.33833i | 0.939456 | + | 0.342670i | \(0.111331\pi\) |
0.0930380 | + | 0.995663i | \(0.470342\pi\) | |||||||
\(434\) | −40.1227 | − | 87.0686i | −1.92595 | − | 4.17943i | ||||
\(435\) | −4.37421 | + | 5.52551i | −0.209727 | + | 0.264928i | ||||
\(436\) | −21.9838 | + | 13.5001i | −1.05283 | + | 0.646536i | ||||
\(437\) | 3.29859 | − | 0.457039i | 0.157793 | − | 0.0218631i | ||||
\(438\) | −6.58578 | − | 8.99334i | −0.314681 | − | 0.429719i | ||||
\(439\) | −3.56941 | + | 5.00449i | −0.170358 | + | 0.238851i | −0.890508 | − | 0.454968i | \(-0.849651\pi\) |
0.720150 | + | 0.693819i | \(0.244073\pi\) | |||||||
\(440\) | −81.7874 | − | 42.1251i | −3.89906 | − | 2.00823i | ||||
\(441\) | 25.1204 | − | 24.0434i | 1.19621 | − | 1.14492i | ||||
\(442\) | 17.6617 | + | 29.1684i | 0.840080 | + | 1.38740i | ||||
\(443\) | 22.1533 | − | 23.4375i | 1.05253 | − | 1.11355i | 0.0592033 | − | 0.998246i | \(-0.481144\pi\) |
0.993330 | − | 0.115304i | \(-0.0367843\pi\) | |||||||
\(444\) | 1.74394 | − | 4.19167i | 0.0827635 | − | 0.198928i | ||||
\(445\) | −20.1440 | + | 12.7202i | −0.954919 | + | 0.602997i | ||||
\(446\) | −16.2487 | − | 7.61129i | −0.769396 | − | 0.360405i | ||||
\(447\) | 0.889255 | + | 6.13534i | 0.0420603 | + | 0.290192i | ||||
\(448\) | 22.8619 | + | 32.0535i | 1.08012 | + | 1.51439i | ||||
\(449\) | 7.16889 | − | 21.6934i | 0.338321 | − | 1.02378i | −0.630537 | − | 0.776159i | \(-0.717165\pi\) |
0.968858 | − | 0.247617i | \(-0.0796474\pi\) | |||||||
\(450\) | −28.9901 | + | 65.0398i | −1.36661 | + | 3.06601i | ||||
\(451\) | −2.85865 | − | 23.9281i | −0.134609 | − | 1.12673i | ||||
\(452\) | 30.3774 | − | 7.76716i | 1.42883 | − | 0.365337i | ||||
\(453\) | 7.24469 | + | 2.04689i | 0.340385 | + | 0.0961711i | ||||
\(454\) | −16.8365 | − | 13.1579i | −0.790175 | − | 0.617530i | ||||
\(455\) | −53.9267 | + | 16.7046i | −2.52812 | + | 0.783124i | ||||
\(456\) | −2.40633 | + | 0.0903976i | −0.112687 | + | 0.00423325i | ||||
\(457\) | −12.4074 | + | 5.25340i | −0.580394 | + | 0.245744i | −0.660229 | − | 0.751065i | \(-0.729541\pi\) |
0.0798351 | + | 0.996808i | \(0.474561\pi\) | |||||||
\(458\) | −51.7430 | + | 8.49430i | −2.41779 | + | 0.396913i | ||||
\(459\) | 1.42488 | + | 13.3426i | 0.0665076 | + | 0.622778i | ||||
\(460\) | 9.76980 | − | 53.2398i | 0.455519 | − | 2.48232i | ||||
\(461\) | −12.9302 | + | 23.2847i | −0.602219 | + | 1.08447i | 0.384667 | + | 0.923055i | \(0.374316\pi\) |
−0.986886 | + | 0.161419i | \(0.948393\pi\) | |||||||
\(462\) | 5.52381 | − | 28.1148i | 0.256991 | − | 1.30802i | ||||
\(463\) | −14.7502 | − | 14.8428i | −0.685499 | − | 0.689803i | 0.277066 | − | 0.960851i | \(-0.410638\pi\) |
−0.962566 | + | 0.271048i | \(0.912630\pi\) | |||||||
\(464\) | 5.98664 | − | 10.1722i | 0.277923 | − | 0.472232i | ||||
\(465\) | −8.50929 | + | 16.7782i | −0.394609 | + | 0.778072i | ||||
\(466\) | 33.7122 | + | 42.5853i | 1.56169 | + | 1.97273i | ||||
\(467\) | −13.0129 | − | 4.75681i | −0.602164 | − | 0.220119i | 0.0241256 | − | 0.999709i | \(-0.492320\pi\) |
−0.626290 | + | 0.779590i | \(0.715427\pi\) | |||||||
\(468\) | 34.0005 | + | 0.851299i | 1.57167 | + | 0.0393513i | ||||
\(469\) | 0.302479 | + | 1.35881i | 0.0139672 | + | 0.0627438i | ||||
\(470\) | 33.5512 | − | 55.4100i | 1.54760 | − | 2.55587i | ||||
\(471\) | −0.826551 | − | 2.99703i | −0.0380855 | − | 0.138096i | ||||
\(472\) | −4.92966 | − | 60.4599i | −0.226906 | − | 2.78289i | ||||
\(473\) | 0.228046 | + | 1.72523i | 0.0104856 | + | 0.0793261i | ||||
\(474\) | −2.43250 | + | 20.3610i | −0.111728 | + | 0.935211i | ||||
\(475\) | 8.88111 | + | 5.30191i | 0.407493 | + | 0.243268i | ||||
\(476\) | 41.3434 | + | 64.5737i | 1.89497 | + | 2.95973i | ||||
\(477\) | 6.23588 | + | 3.93773i | 0.285521 | + | 0.180296i | ||||
\(478\) | −5.69741 | + | 4.01007i | −0.260594 | + | 0.183416i | ||||
\(479\) | −8.12663 | + | 20.2437i | −0.371315 | + | 0.924958i | 0.618908 | + | 0.785464i | \(0.287576\pi\) |
−0.990223 | + | 0.139494i | \(0.955452\pi\) | |||||||
\(480\) | 0.418010 | − | 1.44487i | 0.0190794 | − | 0.0659491i | ||||
\(481\) | 5.78510 | + | 3.75517i | 0.263778 | + | 0.171221i | ||||
\(482\) | −1.03074 | − | 2.56759i | −0.0469487 | − | 0.116951i | ||||
\(483\) | 8.22869 | − | 0.826707i | 0.374418 | − | 0.0376165i | ||||
\(484\) | 21.4169 | + | 48.0492i | 0.973496 | + | 2.18406i | ||||
\(485\) | 6.79058 | − | 4.05389i | 0.308344 | − | 0.184077i | ||||
\(486\) | 27.5645 | + | 13.7635i | 1.25035 | + | 0.624326i | ||||
\(487\) | 31.2366 | + | 13.6894i | 1.41546 | + | 0.620324i | 0.962519 | − | 0.271215i | \(-0.0874253\pi\) |
0.452945 | + | 0.891539i | \(0.350374\pi\) | |||||||
\(488\) | −14.4923 | − | 8.89961i | −0.656035 | − | 0.402866i | ||||
\(489\) | −12.7491 | + | 4.66040i | −0.576536 | + | 0.210750i | ||||
\(490\) | −117.418 | + | 39.6191i | −5.30439 | + | 1.78981i | ||||
\(491\) | 1.26421 | + | 2.27658i | 0.0570529 | + | 0.102741i | 0.901265 | − | 0.433269i | \(-0.142640\pi\) |
−0.844212 | + | 0.536010i | \(0.819931\pi\) | |||||||
\(492\) | −9.75485 | + | 3.15605i | −0.439783 | + | 0.142286i | ||||
\(493\) | −7.99305 | + | 12.1467i | −0.359989 | + | 0.547061i | ||||
\(494\) | 1.06964 | − | 7.37987i | 0.0481253 | − | 0.332036i | ||||
\(495\) | 47.3343 | − | 24.3798i | 2.12752 | − | 1.09579i | ||||
\(496\) | 10.2601 | − | 29.7908i | 0.460692 | − | 1.33765i | ||||
\(497\) | 69.7035 | + | 12.3406i | 3.12663 | + | 0.553551i | ||||
\(498\) | −3.21663 | − | 10.1587i | −0.144141 | − | 0.455223i | ||||
\(499\) | −1.86854 | + | 8.91878i | −0.0836472 | + | 0.399259i | −0.999999 | − | 0.00111399i | \(-0.999645\pi\) |
0.916352 | + | 0.400373i | \(0.131120\pi\) | |||||||
\(500\) | 68.1614 | − | 58.9944i | 3.04827 | − | 2.63831i | ||||
\(501\) | −4.71753 | − | 5.80830i | −0.210764 | − | 0.259496i | ||||
\(502\) | 5.12547 | 0.228761 | ||||||||
\(503\) | 22.3538 | − | 1.81889i | 0.996706 | − | 0.0811002i | ||||
\(504\) | 56.6307 | 2.52253 | ||||||||
\(505\) | 14.8377 | + | 18.2684i | 0.660267 | + | 0.812932i | ||||
\(506\) | −31.5563 | + | 27.3123i | −1.40285 | + | 1.21418i | ||||
\(507\) | −0.308118 | + | 1.47069i | −0.0136840 | + | 0.0653156i | ||||
\(508\) | 5.99277 | + | 18.9263i | 0.265886 | + | 0.839719i | ||||
\(509\) | −34.3382 | − | 6.07938i | −1.52201 | − | 0.269464i | −0.650376 | − | 0.759612i | \(-0.725389\pi\) |
−0.871639 | + | 0.490149i | \(0.836942\pi\) | |||||||
\(510\) | 7.39553 | − | 21.4733i | 0.327480 | − | 0.950855i | ||||
\(511\) | 33.8517 | − | 17.4355i | 1.49751 | − | 0.771301i | ||||
\(512\) | −5.15160 | + | 35.5430i | −0.227671 | + | 1.57080i | ||||
\(513\) | 1.61307 | − | 2.45132i | 0.0712190 | − | 0.108229i | ||||
\(514\) | −16.3903 | + | 5.30286i | −0.722945 | + | 0.233899i | ||||
\(515\) | 15.5197 | + | 27.9479i | 0.683881 | + | 1.23153i | ||||
\(516\) | 0.701530 | − | 0.236710i | 0.0308832 | − | 0.0104206i | ||||
\(517\) | −31.0767 | + | 11.3599i | −1.36675 | + | 0.499610i | ||||
\(518\) | 19.9481 | + | 12.2500i | 0.876470 | + | 0.538234i | ||||
\(519\) | −5.50739 | − | 2.41360i | −0.241748 | − | 0.105945i | ||||
\(520\) | −53.1989 | − | 26.5632i | −2.33292 | − | 1.16488i | ||||
\(521\) | −3.06667 | + | 1.83076i | −0.134353 | + | 0.0802070i | −0.578198 | − | 0.815897i | \(-0.696244\pi\) |
0.443845 | + | 0.896104i | \(0.353614\pi\) | |||||||
\(522\) | 8.91249 | + | 19.9953i | 0.390089 | + | 0.875172i | ||||
\(523\) | 1.59569 | − | 0.160314i | 0.0697748 | − | 0.00701003i | −0.0650143 | − | 0.997884i | \(-0.520709\pi\) |
0.134789 | + | 0.990874i | \(0.456964\pi\) | |||||||
\(524\) | 11.8976 | + | 29.6372i | 0.519748 | + | 1.29471i | ||||
\(525\) | 21.5459 | + | 13.9857i | 0.940340 | + | 0.610385i | ||||
\(526\) | −4.94497 | + | 17.0925i | −0.215611 | + | 0.745270i | ||||
\(527\) | −14.4606 | + | 36.0218i | −0.629914 | + | 1.56914i | ||||
\(528\) | 7.70065 | − | 5.42003i | 0.335128 | − | 0.235877i | ||||
\(529\) | 9.26188 | + | 5.84854i | 0.402691 | + | 0.254284i | ||||
\(530\) | −14.1721 | − | 22.1352i | −0.615596 | − | 0.961491i | ||||
\(531\) | 30.1441 | + | 17.9957i | 1.30814 | + | 0.780945i | ||||
\(532\) | 1.98908 | − | 16.6495i | 0.0862378 | − | 0.721845i | ||||
\(533\) | −2.04108 | − | 15.4413i | −0.0884088 | − | 0.668836i | ||||
\(534\) | −0.635103 | − | 7.78924i | −0.0274836 | − | 0.337073i | ||||
\(535\) | −13.9384 | − | 50.5397i | −0.602608 | − | 2.18502i | ||||
\(536\) | −0.759437 | + | 1.25422i | −0.0328027 | + | 0.0541739i | ||||
\(537\) | −1.35032 | − | 6.06594i | −0.0582705 | − | 0.261765i | ||||
\(538\) | 31.7739 | + | 0.795550i | 1.36987 | + | 0.0342986i | ||||
\(539\) | 59.4521 | + | 21.7325i | 2.56078 | + | 0.936083i | ||||
\(540\) | −29.6055 | − | 37.3977i | −1.27402 | − | 1.60934i | ||||
\(541\) | 15.1466 | − | 29.8654i | 0.651204 | − | 1.28401i | −0.293458 | − | 0.955972i | \(-0.594806\pi\) |
0.944663 | − | 0.328043i | \(-0.106389\pi\) | |||||||
\(542\) | −30.0031 | + | 50.9797i | −1.28874 | + | 2.18977i | ||||
\(543\) | −8.70237 | − | 8.75700i | −0.373454 | − | 0.375799i | ||||
\(544\) | 0.598306 | − | 3.04522i | 0.0256522 | − | 0.130563i | ||||
\(545\) | −12.6725 | + | 22.8207i | −0.542832 | + | 0.977531i | ||||
\(546\) | 3.34253 | − | 18.2149i | 0.143047 | − | 0.779524i | ||||
\(547\) | −1.46810 | − | 13.7473i | −0.0627714 | − | 0.587792i | −0.981306 | − | 0.192452i | \(-0.938356\pi\) |
0.918535 | − | 0.395340i | \(-0.129373\pi\) | |||||||
\(548\) | −38.2061 | + | 6.27205i | −1.63209 | + | 0.267929i | ||||
\(549\) | 9.06365 | − | 3.83763i | 0.386827 | − | 0.163786i | ||||
\(550\) | −129.536 | + | 4.86623i | −5.52344 | + | 0.207497i | ||||
\(551\) | 3.03748 | − | 0.940904i | 0.129401 | − | 0.0400839i | ||||
\(552\) | 6.86334 | + | 5.36377i | 0.292123 | + | 0.228297i | ||||
\(553\) | −67.4093 | − | 19.0455i | −2.86653 | − | 0.809899i | ||||
\(554\) | 11.6262 | − | 2.97270i | 0.493950 | − | 0.126298i | ||||
\(555\) | −0.544925 | − | 4.56125i | −0.0231308 | − | 0.193614i | ||||
\(556\) | −0.847479 | + | 1.90133i | −0.0359411 | + | 0.0806345i | ||||
\(557\) | −0.619631 | + | 1.87503i | −0.0262546 | + | 0.0794477i | −0.961793 | − | 0.273776i | \(-0.911727\pi\) |
0.935539 | + | 0.353224i | \(0.114915\pi\) | |||||||
\(558\) | 33.9342 | + | 47.5775i | 1.43655 | + | 2.01412i | ||||
\(559\) | 0.161339 | + | 1.11315i | 0.00682393 | + | 0.0470811i | ||||
\(560\) | −57.0289 | − | 26.7138i | −2.40991 | − | 1.12886i | ||||
\(561\) | −9.80898 | + | 6.19402i | −0.414136 | + | 0.261512i | ||||
\(562\) | 27.8809 | − | 67.0136i | 1.17608 | − | 2.82680i | ||||
\(563\) | 12.2003 | − | 12.9075i | 0.514180 | − | 0.543987i | −0.416829 | − | 0.908985i | \(-0.636858\pi\) |
0.931008 | + | 0.364998i | \(0.118930\pi\) | |||||||
\(564\) | 7.29144 | + | 12.0419i | 0.307025 | + | 0.507054i | ||||
\(565\) | 22.9193 | − | 21.9366i | 0.964221 | − | 0.922880i | ||||
\(566\) | 43.2451 | + | 22.2737i | 1.81773 | + | 0.936232i | ||||
\(567\) | −16.8096 | + | 23.5679i | −0.705936 | + | 0.989759i | ||||
\(568\) | 44.0504 | + | 60.1539i | 1.84831 | + | 2.52400i | ||||
\(569\) | 9.76893 | − | 1.35354i | 0.409535 | − | 0.0567435i | 0.0704872 | − | 0.997513i | \(-0.477545\pi\) |
0.339048 | + | 0.940769i | \(0.389895\pi\) | |||||||
\(570\) | −4.23233 | + | 2.59904i | −0.177273 | + | 0.108862i | ||||
\(571\) | 23.9109 | − | 30.2043i | 1.00064 | − | 1.26401i | 0.0363017 | − | 0.999341i | \(-0.488442\pi\) |
0.964339 | − | 0.264670i | \(-0.0852629\pi\) | |||||||
\(572\) | 25.9121 | + | 56.2308i | 1.08344 | + | 2.35113i | ||||
\(573\) | 0.0662455 | + | 0.0858682i | 0.00276744 | + | 0.00358720i | ||||
\(574\) | −8.23727 | − | 52.2196i | −0.343817 | − | 2.17960i | ||||
\(575\) | −12.1837 | − | 35.3760i | −0.508095 | − | 1.47528i | ||||
\(576\) | −17.3380 | − | 16.5947i | −0.722418 | − | 0.691445i | ||||
\(577\) | −2.48073 | + | 11.1440i | −0.103274 | + | 0.463932i | 0.896507 | + | 0.443029i | \(0.146096\pi\) |
−0.999782 | + | 0.0209026i | \(0.993346\pi\) | |||||||
\(578\) | 1.32329 | − | 5.31370i | 0.0550414 | − | 0.221021i | ||||
\(579\) | 5.69628 | − | 1.23067i | 0.236729 | − | 0.0511448i | ||||
\(580\) | 0.970336 | − | 51.6778i | 0.0402910 | − | 2.14580i | ||||
\(581\) | 35.9907 | − | 5.44666i | 1.49315 | − | 0.225966i | ||||
\(582\) | 0.146042 | + | 2.59017i | 0.00605362 | + | 0.107366i | ||||
\(583\) | −1.42564 | + | 13.3497i | −0.0590440 | + | 0.552889i | ||||
\(584\) | 38.4559 | + | 11.3868i | 1.59132 | + | 0.471189i | ||||
\(585\) | 30.3943 | − | 16.1392i | 1.25665 | − | 0.667276i | ||||
\(586\) | −22.8245 | − | 43.6414i | −0.942870 | − | 1.80281i | ||||
\(587\) | −4.85351 | + | 0.859284i | −0.200326 | + | 0.0354665i | −0.273591 | − | 0.961846i | \(-0.588212\pi\) |
0.0732659 | + | 0.997312i | \(0.476658\pi\) | |||||||
\(588\) | 4.19630 | − | 26.6021i | 0.173052 | − | 1.09705i | ||||
\(589\) | 7.44677 | − | 4.07450i | 0.306839 | − | 0.167887i | ||||
\(590\) | −70.0787 | − | 103.647i | −2.88509 | − | 4.26708i | ||||
\(591\) | −4.64983 | + | 4.67902i | −0.191269 | + | 0.192469i | ||||
\(592\) | 1.95248 | + | 7.44178i | 0.0802465 | + | 0.305855i | ||||
\(593\) | 13.7611 | + | 12.2149i | 0.565099 | + | 0.501606i | 0.897192 | − | 0.441641i | \(-0.145603\pi\) |
−0.332093 | + | 0.943247i | \(0.607755\pi\) | |||||||
\(594\) | −0.230148 | + | 36.7752i | −0.00944308 | + | 1.50890i | ||||
\(595\) | 68.5210 | + | 36.3844i | 2.80909 | + | 1.49161i | ||||
\(596\) | −32.4513 | − | 31.8477i | −1.32926 | − | 1.30453i | ||||
\(597\) | 6.67186 | + | 7.61180i | 0.273061 | + | 0.311530i | ||||
\(598\) | −20.1734 | + | 17.9068i | −0.824954 | + | 0.732264i | ||||
\(599\) | 21.5173 | + | 14.3530i | 0.879172 | + | 0.586449i | 0.910707 | − | 0.413053i | \(-0.135538\pi\) |
−0.0315352 | + | 0.999503i | \(0.510040\pi\) | |||||||
\(600\) | 6.20889 | + | 26.3333i | 0.253477 | + | 1.07505i | ||||
\(601\) | −0.757808 | − | 40.3590i | −0.0309116 | − | 1.64628i | −0.582985 | − | 0.812483i | \(-0.698115\pi\) |
0.552073 | − | 0.833796i | \(-0.313837\pi\) | |||||||
\(602\) | 0.641999 | + | 3.76325i | 0.0261659 | + | 0.153379i | ||||
\(603\) | −0.335741 | − | 0.779328i | −0.0136724 | − | 0.0317367i | ||||
\(604\) | −51.3675 | + | 20.2486i | −2.09011 | + | 0.823906i | ||||
\(605\) | 42.7473 | + | 31.7165i | 1.73793 | + | 1.28946i | ||||
\(606\) | −7.56593 | + | 1.53574i | −0.307345 | + | 0.0623854i | ||||
\(607\) | 4.80368 | − | 4.95640i | 0.194975 | − | 0.201174i | −0.613515 | − | 0.789683i | \(-0.710245\pi\) |
0.808491 | + | 0.588509i | \(0.200285\pi\) | |||||||
\(608\) | −0.524124 | + | 0.431168i | −0.0212560 | + | 0.0174862i | ||||
\(609\) | 7.62581 | − | 2.05186i | 0.309013 | − | 0.0831454i | ||||
\(610\) | −35.0524 | − | 1.31680i | −1.41923 | − | 0.0533156i | ||||
\(611\) | −19.9925 | + | 7.59317i | −0.808811 | + | 0.307187i | ||||
\(612\) | −32.1059 | − | 33.9671i | −1.29780 | − | 1.37304i | ||||
\(613\) | −2.10147 | + | 7.61982i | −0.0848776 | + | 0.307762i | −0.994088 | − | 0.108575i | \(-0.965371\pi\) |
0.909211 | + | 0.416336i | \(0.136686\pi\) | |||||||
\(614\) | −32.5890 | − | 6.19132i | −1.31518 | − | 0.249861i | ||||
\(615\) | −7.03113 | + | 7.62775i | −0.283522 | + | 0.307581i | ||||
\(616\) | 45.4752 | + | 92.5185i | 1.83225 | + | 3.72767i | ||||
\(617\) | 7.67986 | + | 30.8388i | 0.309180 | + | 1.24152i | 0.900418 | + | 0.435026i | \(0.143261\pi\) |
−0.591238 | + | 0.806497i | \(0.701361\pi\) | |||||||
\(618\) | −10.4833 | + | 0.262478i | −0.421699 | + | 0.0105584i | ||||
\(619\) | 3.20012 | + | 1.07978i | 0.128624 | + | 0.0434001i | 0.383285 | − | 0.923630i | \(-0.374793\pi\) |
−0.254661 | + | 0.967030i | \(0.581964\pi\) | |||||||
\(620\) | −24.9037 | − | 135.711i | −1.00016 | − | 5.45027i | ||||
\(621\) | −10.1781 | + | 3.01373i | −0.408433 | + | 0.120937i | ||||
\(622\) | 49.6356 | − | 48.7124i | 1.99021 | − | 1.95319i | ||||
\(623\) | 26.6213 | + | 2.00297i | 1.06656 | + | 0.0802471i | ||||
\(624\) | 4.93298 | − | 3.56519i | 0.197477 | − | 0.142722i | ||||
\(625\) | 12.5905 | − | 35.1230i | 0.503619 | − | 1.40492i | ||||
\(626\) | −34.6667 | − | 60.6272i | −1.38556 | − | 2.42315i | ||||
\(627\) | 2.51714 | + | 0.316708i | 0.100525 | + | 0.0126481i | ||||
\(628\) | 18.1402 | + | 13.8146i | 0.723875 | + | 0.551262i | ||||
\(629\) | −1.94352 | − | 9.27669i | −0.0774933 | − | 0.369886i | ||||
\(630\) | 101.758 | − | 57.3433i | 4.05414 | − | 2.28461i | ||||
\(631\) | −4.03218 | + | 0.252670i | −0.160518 | + | 0.0100586i | −0.142597 | − | 0.989781i | \(-0.545545\pi\) |
−0.0179211 | + | 0.999839i | \(0.505705\pi\) | |||||||
\(632\) | −37.4216 | − | 63.5849i | −1.48855 | − | 2.52927i | ||||
\(633\) | 0.640894 | − | 2.44274i | 0.0254733 | − | 0.0970900i | ||||
\(634\) | 50.3967 | − | 33.6170i | 2.00151 | − | 1.33510i | ||||
\(635\) | 14.6842 | + | 13.7066i | 0.582725 | + | 0.543931i | ||||
\(636\) | 5.69007 | − | 0.499810i | 0.225626 | − | 0.0198188i | ||||
\(637\) | 38.5988 | + | 13.5644i | 1.52934 | + | 0.537443i | ||||
\(638\) | −25.5098 | + | 30.6170i | −1.00994 | + | 1.21214i | ||||
\(639\) | −43.1470 | + | 0.540070i | −1.70687 | + | 0.0213648i | ||||
\(640\) | 28.8397 | + | 74.5252i | 1.13999 | + | 2.94587i | ||||
\(641\) | −9.10598 | + | 18.5259i | −0.359664 | + | 0.731731i | −0.999318 | − | 0.0369328i | \(-0.988241\pi\) |
0.639653 | + | 0.768664i | \(0.279078\pi\) | |||||||
\(642\) | 16.8098 | + | 3.63172i | 0.663430 | + | 0.143332i | ||||
\(643\) | −3.25368 | + | 13.7996i | −0.128313 | + | 0.544203i | 0.870347 | + | 0.492439i | \(0.163895\pi\) |
−0.998659 | + | 0.0517637i | \(0.983516\pi\) | |||||||
\(644\) | −44.3401 | + | 41.3882i | −1.74725 | + | 1.63092i | ||||
\(645\) | 0.500813 | − | 0.557143i | 0.0197195 | − | 0.0219375i | ||||
\(646\) | −8.22979 | + | 6.10612i | −0.323797 | + | 0.240242i | ||||
\(647\) | 17.1472 | − | 27.5349i | 0.674127 | − | 1.08251i | −0.316850 | − | 0.948476i | \(-0.602625\pi\) |
0.990977 | − | 0.134035i | \(-0.0427933\pi\) | |||||||
\(648\) | −29.9546 | + | 5.69084i | −1.17673 | + | 0.223557i | ||||
\(649\) | −5.19366 | + | 63.6977i | −0.203869 | + | 2.50035i | ||||
\(650\) | −83.6780 | + | 4.19286i | −3.28212 | + | 0.164458i | ||||
\(651\) | 18.8605 | − | 9.41740i | 0.739200 | − | 0.369097i | ||||
\(652\) | 53.6814 | − | 83.8442i | 2.10233 | − | 3.28359i | ||||
\(653\) | −15.3483 | + | 7.18954i | −0.600625 | + | 0.281348i | −0.700501 | − | 0.713652i | \(-0.747040\pi\) |
0.0998755 | + | 0.995000i | \(0.468156\pi\) | |||||||
\(654\) | −4.70695 | − | 7.15295i | −0.184056 | − | 0.279703i | ||||
\(655\) | 25.2099 | + | 20.2151i | 0.985033 | + | 0.789869i | ||||
\(656\) | 9.91120 | − | 14.2705i | 0.386967 | − | 0.557170i | ||||
\(657\) | −18.2889 | + | 14.2929i | −0.713517 | + | 0.557621i | ||||
\(658\) | −67.1904 | + | 27.4624i | −2.61936 | + | 1.07060i | ||||
\(659\) | −3.12299 | − | 2.84278i | −0.121654 | − | 0.110739i | 0.610043 | − | 0.792368i | \(-0.291152\pi\) |
−0.731698 | + | 0.681629i | \(0.761272\pi\) | |||||||
\(660\) | 17.7259 | − | 37.2330i | 0.689979 | − | 1.44929i | ||||
\(661\) | −13.6658 | + | 12.4397i | −0.531540 | + | 0.483847i | −0.893947 | − | 0.448174i | \(-0.852075\pi\) |
0.362407 | + | 0.932020i | \(0.381955\pi\) | |||||||
\(662\) | −8.84964 | − | 29.2145i | −0.343951 | − | 1.13545i | ||||
\(663\) | −6.28930 | + | 4.08246i | −0.244256 | + | 0.158549i | ||||
\(664\) | 31.3523 | + | 22.0670i | 1.21670 | + | 0.856366i | ||||
\(665\) | −6.51720 | − | 15.6645i | −0.252726 | − | 0.607445i | ||||
\(666\) | −13.3400 | − | 5.06653i | −0.516913 | − | 0.196324i | ||||
\(667\) | −10.5923 | − | 4.48488i | −0.410136 | − | 0.173655i | ||||
\(668\) | 53.3357 | + | 12.9284i | 2.06362 | + | 0.500215i | ||||
\(669\) | 1.56107 | − | 3.62359i | 0.0603546 | − | 0.140096i | ||||
\(670\) | −0.0946122 | + | 3.02266i | −0.00365519 | + | 0.116776i | ||||
\(671\) | 13.5478 | + | 11.7258i | 0.523008 | + | 0.452668i | ||||
\(672\) | −1.34091 | + | 1.02116i | −0.0517268 | + | 0.0393922i | ||||
\(673\) | 8.34296 | − | 4.84004i | 0.321598 | − | 0.186570i | −0.332260 | − | 0.943188i | \(-0.607811\pi\) |
0.653857 | + | 0.756618i | \(0.273150\pi\) | |||||||
\(674\) | −56.6317 | + | 16.0005i | −2.18137 | + | 0.616316i | ||||
\(675\) | −30.5192 | − | 12.4740i | −1.17468 | − | 0.480123i | ||||
\(676\) | −4.73722 | − | 9.95047i | −0.182201 | − | 0.382711i | ||||
\(677\) | 0.787688 | − | 2.60032i | 0.0302733 | − | 0.0999384i | −0.940612 | − | 0.339484i | \(-0.889748\pi\) |
0.970885 | + | 0.239546i | \(0.0769985\pi\) | |||||||
\(678\) | 2.89221 | + | 9.99707i | 0.111075 | + | 0.383935i | ||||
\(679\) | −8.81774 | − | 0.885887i | −0.338394 | − | 0.0339972i | ||||
\(680\) | 25.6400 | + | 77.5878i | 0.983247 | + | 2.97536i | ||||
\(681\) | 2.77609 | − | 3.79095i | 0.106380 | − | 0.145269i | ||||
\(682\) | −50.4785 | + | 93.6442i | −1.93292 | + | 3.58582i | ||||
\(683\) | 0.123874 | − | 2.82591i | 0.00473991 | − | 0.108130i | −0.995207 | − | 0.0977941i | \(-0.968821\pi\) |
0.999947 | − | 0.0103364i | \(-0.00329022\pi\) | |||||||
\(684\) | 0.703075 | + | 10.1971i | 0.0268828 | + | 0.389895i | ||||
\(685\) | −30.5630 | + | 24.5076i | −1.16775 | + | 0.936388i | ||||
\(686\) | 59.9502 | + | 19.3961i | 2.28891 | + | 0.740545i | ||||
\(687\) | −2.22290 | − | 11.3140i | −0.0848088 | − | 0.431655i | ||||
\(688\) | −0.702775 | + | 1.03941i | −0.0267930 | + | 0.0396271i | ||||
\(689\) | −0.813379 | + | 8.63927i | −0.0309873 | + | 0.329130i | ||||
\(690\) | 17.7638 | + | 2.68829i | 0.676257 | + | 0.102342i | ||||
\(691\) | 6.82893 | − | 40.0297i | 0.259785 | − | 1.52280i | −0.496198 | − | 0.868209i | \(-0.665271\pi\) |
0.755983 | − | 0.654591i | \(-0.227159\pi\) | |||||||
\(692\) | 42.8600 | − | 10.3891i | 1.62929 | − | 0.394935i | ||||
\(693\) | −58.8754 | − | 9.66517i | −2.23649 | − | 0.367150i | ||||
\(694\) | −0.660262 | + | 11.7103i | −0.0250632 | + | 0.444517i | ||||
\(695\) | 0.197431 | + | 2.09701i | 0.00748898 | + | 0.0795440i | ||||
\(696\) | 7.29686 | + | 3.99247i | 0.276587 | + | 0.151334i | ||||
\(697\) | −13.0745 | + | 16.9473i | −0.495231 | + | 0.641924i | ||||
\(698\) | −25.7903 | − | 5.91074i | −0.976178 | − | 0.223725i | ||||
\(699\) | −9.12775 | + | 7.70245i | −0.345243 | + | 0.291334i | ||||
\(700\) | −187.864 | + | 14.1348i | −7.10060 | + | 0.534244i | ||||
\(701\) | −17.1662 | + | 19.5846i | −0.648357 | + | 0.739698i | −0.978956 | − | 0.204073i | \(-0.934582\pi\) |
0.330599 | + | 0.943771i | \(0.392749\pi\) | |||||||
\(702\) | 0.148753 | + | 23.7692i | 0.00561432 | + | 0.897109i | ||||
\(703\) | −0.960600 | + | 1.83671i | −0.0362297 | + | 0.0692729i | ||||
\(704\) | 13.1883 | − | 41.6512i | 0.497053 | − | 1.56979i | ||||
\(705\) | 12.4092 | + | 6.99289i | 0.467356 | + | 0.263367i | ||||
\(706\) | −61.7986 | − | 29.8969i | −2.32582 | − | 1.12518i | ||||
\(707\) | −1.15493 | − | 26.3471i | −0.0434356 | − | 0.990886i | ||||
\(708\) | 27.0180 | − | 3.05643i | 1.01540 | − | 0.114868i | ||||
\(709\) | −22.5511 | − | 18.5515i | −0.846924 | − | 0.696718i | 0.107812 | − | 0.994171i | \(-0.465616\pi\) |
−0.954736 | + | 0.297454i | \(0.903863\pi\) | |||||||
\(710\) | 140.064 | + | 63.4841i | 5.25650 | + | 2.38252i | ||||
\(711\) | 42.5360 | + | 3.73632i | 1.59522 | + | 0.140123i | ||||
\(712\) | 18.7976 | + | 20.9119i | 0.704469 | + | 0.783706i | ||||
\(713\) | −30.0924 | − | 6.10821i | −1.12697 | − | 0.228754i | ||||
\(714\) | −20.9931 | + | 14.3863i | −0.785646 | + | 0.538392i | ||||
\(715\) | 50.7740 | + | 36.6956i | 1.89884 | + | 1.37234i | ||||
\(716\) | 34.8332 | + | 29.3940i | 1.30178 | + | 1.09851i | ||||
\(717\) | −0.920554 | − | 1.22463i | −0.0343787 | − | 0.0457345i | ||||
\(718\) | 29.5079 | − | 3.71271i | 1.10123 | − | 0.138557i | ||||
\(719\) | −17.6324 | − | 10.2292i | −0.657579 | − | 0.381485i | 0.135351 | − | 0.990798i | \(-0.456784\pi\) |
−0.792930 | + | 0.609313i | \(0.791445\pi\) | |||||||
\(720\) | 37.1919 | + | 9.50958i | 1.38606 | + | 0.354401i | ||||
\(721\) | 4.69426 | − | 35.5134i | 0.174824 | − | 1.32259i | ||||
\(722\) | −43.9562 | − | 2.20252i | −1.63588 | − | 0.0819692i | ||||
\(723\) | 0.557231 | − | 0.244205i | 0.0207236 | − | 0.00908210i | ||||
\(724\) | 89.6895 | + | 12.4270i | 3.33328 | + | 0.461846i | ||||
\(725\) | −16.9526 | − | 31.4493i | −0.629604 | − | 1.16800i | ||||
\(726\) | −15.7180 | + | 7.60404i | −0.583349 | + | 0.282212i | ||||
\(727\) | −46.1911 | − | 2.89449i | −1.71313 | − | 0.107351i | −0.824468 | − | 0.565908i | \(-0.808526\pi\) |
−0.888665 | + | 0.458557i | \(0.848366\pi\) | |||||||
\(728\) | 30.1384 | + | 59.4255i | 1.11700 | + | 2.20246i | ||||
\(729\) | 5.32975 | − | 11.5659i | 0.197398 | − | 0.428366i | ||||
\(730\) | 80.6305 | − | 18.4792i | 2.98427 | − | 0.683947i | ||||
\(731\) | 0.928770 | − | 1.23556i | 0.0343518 | − | 0.0456987i | ||||
\(732\) | 3.78396 | − | 6.61762i | 0.139859 | − | 0.244594i | ||||
\(733\) | 24.1472 | + | 28.2548i | 0.891896 | + | 1.04361i | 0.998782 | + | 0.0493428i | \(0.0157127\pi\) |
−0.106886 | + | 0.994271i | \(0.534088\pi\) | |||||||
\(734\) | 19.6914 | + | 23.6337i | 0.726823 | + | 0.872335i | ||||
\(735\) | −9.51551 | − | 25.5342i | −0.350985 | − | 0.941845i | ||||
\(736\) | 2.45484 | + | 0.0307271i | 0.0904866 | + | 0.00113262i | ||||
\(737\) | 1.00360 | − | 1.17432i | 0.0369680 | − | 0.0432565i | ||||
\(738\) | 10.8742 | + | 30.3353i | 0.400286 | + | 1.11666i | ||||
\(739\) | 26.7031 | + | 18.2993i | 0.982290 | + | 0.673150i | 0.945312 | − | 0.326166i | \(-0.105757\pi\) |
0.0369775 | + | 0.999316i | \(0.488227\pi\) | |||||||
\(740\) | 23.4476 | + | 24.1931i | 0.861953 | + | 0.889355i | ||||
\(741\) | 1.62935 | + | 0.184322i | 0.0598558 | + | 0.00677123i | ||||
\(742\) | −2.02589 | + | 29.3825i | −0.0743726 | + | 1.07867i | ||||
\(743\) | −5.54551 | − | 7.98463i | −0.203445 | − | 0.292928i | 0.706453 | − | 0.707760i | \(-0.250294\pi\) |
−0.909898 | + | 0.414833i | \(0.863840\pi\) | |||||||
\(744\) | 21.2096 | + | 6.56999i | 0.777581 | + | 0.240868i | ||||
\(745\) | −44.4260 | − | 11.9536i | −1.62764 | − | 0.437946i | ||||
\(746\) | 76.3358 | − | 34.5993i | 2.79485 | − | 1.26677i | ||||
\(747\) | −20.9339 | + | 7.35661i | −0.765931 | + | 0.269164i | ||||
\(748\) | 29.7112 | − | 79.7280i | 1.08635 | − | 2.91515i | ||||
\(749\) | −21.2019 | + | 54.7883i | −0.774700 | + | 2.00192i | ||||
\(750\) | 20.2792 | + | 22.0000i | 0.740493 | + | 0.803328i | ||||
\(751\) | 24.1982 | + | 38.8574i | 0.883005 | + | 1.41793i | 0.908333 | + | 0.418247i | \(0.137355\pi\) |
−0.0253279 | + | 0.999679i | \(0.508063\pi\) | |||||||
\(752\) | −22.1940 | − | 8.74870i | −0.809333 | − | 0.319032i | ||||
\(753\) | 0.0352608 | + | 1.12651i | 0.00128497 | + | 0.0410522i | ||||
\(754\) | −16.2390 | + | 19.9937i | −0.591389 | + | 0.728128i | ||||
\(755\) | −35.2219 | + | 43.3658i | −1.28186 | + | 1.57824i | ||||
\(756\) | 1.67217 | + | 53.4224i | 0.0608164 | + | 1.94295i | ||||
\(757\) | 14.5889 | + | 5.75082i | 0.530242 | + | 0.209017i | 0.616642 | − | 0.787243i | \(-0.288493\pi\) |
−0.0864001 | + | 0.996261i | \(0.527536\pi\) | |||||||
\(758\) | −38.6380 | − | 62.0447i | −1.40340 | − | 2.25357i | ||||
\(759\) | −6.21995 | − | 6.74774i | −0.225770 | − | 0.244928i | ||||
\(760\) | 6.44924 | − | 16.6656i | 0.233939 | − | 0.604526i | ||||
\(761\) | −3.01606 | + | 8.09341i | −0.109332 | + | 0.293386i | −0.980162 | − | 0.198199i | \(-0.936491\pi\) |
0.870830 | + | 0.491585i | \(0.163582\pi\) | |||||||
\(762\) | −6.21659 | + | 2.18464i | −0.225203 | + | 0.0791412i | ||||
\(763\) | 26.6416 | − | 12.0753i | 0.964490 | − | 0.437156i | ||||
\(764\) | −0.768094 | − | 0.206669i | −0.0277887 | − | 0.00747703i | ||||
\(765\) | −45.1744 | − | 13.9935i | −1.63328 | − | 0.505935i | ||||
\(766\) | −2.11536 | − | 3.04578i | −0.0764312 | − | 0.110048i | ||||
\(767\) | −2.84130 | + | 41.2090i | −0.102593 | + | 1.48797i | ||||
\(768\) | −16.6382 | − | 1.88220i | −0.600378 | − | 0.0679182i | ||||
\(769\) | 3.50342 | + | 3.61480i | 0.126337 | + | 0.130353i | 0.778287 | − | 0.627909i | \(-0.216089\pi\) |
−0.651950 | + | 0.758262i | \(0.726049\pi\) | |||||||
\(770\) | 175.396 | + | 120.196i | 6.32083 | + | 4.33158i | ||||
\(771\) | −1.27825 | − | 3.56588i | −0.0460351 | − | 0.128422i | ||||
\(772\) | −27.7687 | + | 32.4924i | −0.999419 | + | 1.16943i | ||||
\(773\) | −4.99129 | − | 0.0624758i | −0.179524 | − | 0.00224710i | −0.0772966 | − | 0.997008i | \(-0.524629\pi\) |
−0.102228 | + | 0.994761i | \(0.532597\pi\) | |||||||
\(774\) | −0.812630 | − | 2.18064i | −0.0292094 | − | 0.0783814i | ||||
\(775\) | −61.0505 | − | 73.2730i | −2.19300 | − | 2.63204i | ||||
\(776\) | −6.06430 | − | 7.09589i | −0.217696 | − | 0.254728i | ||||
\(777\) | −2.55515 | + | 4.46860i | −0.0916654 | + | 0.160310i | ||||
\(778\) | 14.1592 | − | 18.8362i | 0.507633 | − | 0.675311i | ||||
\(779\) | 4.56261 | − | 1.04568i | 0.163472 | − | 0.0374653i | ||||
\(780\) | 11.1548 | − | 24.2066i | 0.399406 | − | 0.866735i | ||||
\(781\) | −35.5300 | − | 70.0564i | −1.27136 | − | 2.50681i | ||||
\(782\) | 36.9966 | + | 2.31833i | 1.32300 | + | 0.0829034i | ||||
\(783\) | −9.12437 | + | 4.41418i | −0.326079 | + | 0.157750i | ||||
\(784\) | 21.6554 | + | 40.1737i | 0.773408 | + | 1.43477i | ||||
\(785\) | 22.8530 | + | 3.16641i | 0.815657 | + | 0.113014i | ||||
\(786\) | −9.70864 | + | 4.25479i | −0.346296 | + | 0.151763i | ||||
\(787\) | 42.4822 | + | 2.12866i | 1.51433 | + | 0.0758786i | 0.789799 | − | 0.613365i | \(-0.210185\pi\) |
0.724529 | + | 0.689244i | \(0.242057\pi\) | |||||||
\(788\) | 6.33994 | − | 47.9634i | 0.225851 | − | 1.70862i | ||||
\(789\) | −3.79072 | − | 0.969248i | −0.134953 | − | 0.0345061i | ||||
\(790\) | −131.627 | − | 76.3614i | −4.68308 | − | 2.71682i | ||||
\(791\) | −35.2725 | + | 4.43802i | −1.25415 | + | 0.157798i | ||||
\(792\) | −37.7597 | − | 50.2322i | −1.34173 | − | 1.78492i | ||||
\(793\) | 8.85063 | + | 7.46861i | 0.314295 | + | 0.265218i | ||||
\(794\) | −32.6287 | − | 23.5816i | −1.15795 | − | 0.836880i | ||||
\(795\) | 4.76751 | − | 3.26711i | 0.169086 | − | 0.115872i | ||||
\(796\) | −72.7529 | − | 14.7675i | −2.57866 | − | 0.523420i | ||||
\(797\) | 26.1898 | + | 29.1356i | 0.927691 | + | 1.03204i | 0.999401 | + | 0.0346098i | \(0.0110188\pi\) |
−0.0717103 | + | 0.997426i | \(0.522846\pi\) | |||||||
\(798\) | 5.54413 | + | 0.486991i | 0.196260 | + | 0.0172393i | ||||
\(799\) | 26.7680 | + | 12.1326i | 0.946984 | + | 0.429222i | ||||
\(800\) | 5.88880 | + | 4.84439i | 0.208200 | + | 0.171275i | ||||
\(801\) | −16.1704 | + | 1.82929i | −0.571354 | + | 0.0646348i | ||||
\(802\) | 1.18817 | + | 27.1055i | 0.0419558 | + | 0.957127i | ||||
\(803\) | −38.0368 | − | 18.4014i | −1.34229 | − | 0.649372i | ||||
\(804\) | −0.572562 | − | 0.322654i | −0.0201927 | − | 0.0113791i | ||||
\(805\) | −18.5263 | + | 58.5095i | −0.652966 | + | 2.06219i | ||||
\(806\) | −31.8660 | + | 60.9293i | −1.12243 | + | 2.14614i | ||||
\(807\) | 0.0437384 | + | 6.98894i | 0.00153967 | + | 0.246022i | ||||
\(808\) | 18.3094 | − | 20.8888i | 0.644122 | − | 0.734867i | ||||
\(809\) | −27.9895 | + | 2.10591i | −0.984058 | + | 0.0740399i | −0.557287 | − | 0.830320i | \(-0.688158\pi\) |
−0.426771 | + | 0.904360i | \(0.640349\pi\) | |||||||
\(810\) | −48.0622 | + | 40.5573i | −1.68873 | + | 1.42504i | ||||
\(811\) | 4.61056 | + | 1.05667i | 0.161898 | + | 0.0371046i | 0.303570 | − | 0.952809i | \(-0.401821\pi\) |
−0.141672 | + | 0.989914i | \(0.545248\pi\) | |||||||
\(812\) | −35.3784 | + | 45.8579i | −1.24154 | + | 1.60930i | ||||
\(813\) | −11.4110 | − | 6.24355i | −0.400203 | − | 0.218971i | ||||
\(814\) | −2.43490 | − | 25.8622i | −0.0853433 | − | 0.906470i | ||||
\(815\) | 5.67070 | − | 100.575i | 0.198636 | − | 3.52298i | ||||
\(816\) | −8.25372 | − | 1.35496i | −0.288938 | − | 0.0474330i | ||||
\(817\) | −0.328514 | + | 0.0796306i | −0.0114932 | + | 0.00278592i | ||||
\(818\) | 10.7769 | − | 63.1715i | 0.376804 | − | 2.20874i | ||||
\(819\) | −38.1285 | − | 5.77019i | −1.33232 | − | 0.201627i | ||||
\(820\) | 7.13181 | − | 75.7503i | 0.249054 | − | 2.64531i | ||||
\(821\) | 18.1221 | − | 26.8027i | 0.632466 | − | 0.935422i | −0.367520 | − | 0.930016i | \(-0.619793\pi\) |
0.999985 | − | 0.00540656i | \(-0.00172097\pi\) | |||||||
\(822\) | −2.47750 | − | 12.6098i | −0.0864126 | − | 0.439817i | ||||
\(823\) | −43.6753 | − | 14.1306i | −1.52243 | − | 0.492560i | −0.576542 | − | 0.817067i | \(-0.695598\pi\) |
−0.945883 | + | 0.324507i | \(0.894801\pi\) | |||||||
\(824\) | 29.4357 | − | 23.6036i | 1.02544 | − | 0.822270i | ||||
\(825\) | −1.96068 | − | 28.4368i | −0.0682620 | − | 0.990042i | ||||
\(826\) | −6.13978 | + | 140.065i | −0.213630 | + | 4.87350i | ||||
\(827\) | −14.1302 | + | 26.2133i | −0.491354 | + | 0.911526i | 0.507404 | + | 0.861708i | \(0.330605\pi\) |
−0.998758 | + | 0.0498178i | \(0.984136\pi\) | |||||||
\(828\) | 21.8449 | − | 29.8307i | 0.759162 | − | 1.03669i | ||||
\(829\) | −4.74936 | − | 14.3718i | −0.164952 | − | 0.499154i | 0.833634 | − | 0.552318i | \(-0.186257\pi\) |
−0.998586 | + | 0.0531643i | \(0.983069\pi\) | |||||||
\(830\) | 78.6807 | + | 7.90477i | 2.73105 | + | 0.274379i | ||||
\(831\) | 0.733341 | + | 2.53483i | 0.0254393 | + | 0.0879323i | ||||
\(832\) | 8.18649 | − | 27.0253i | 0.283815 | − | 0.936933i | ||||
\(833\) | −24.1679 | − | 50.7645i | −0.837369 | − | 1.75888i | ||||
\(834\) | −0.639570 | − | 0.261408i | −0.0221465 | − | 0.00905183i | ||||
\(835\) | 53.4375 | − | 15.0980i | 1.84928 | − | 0.522488i | ||||
\(836\) | −16.0946 | + | 9.33703i | −0.556642 | + | 0.322928i | ||||
\(837\) | −21.5264 | + | 16.3933i | −0.744063 | + | 0.566636i | ||||
\(838\) | 3.60051 | + | 3.11628i | 0.124378 | + | 0.107650i | ||||
\(839\) | −0.544044 | + | 17.3811i | −0.0187825 | + | 0.600061i | 0.944025 | + | 0.329873i | \(0.107006\pi\) |
−0.962808 | + | 0.270187i | \(0.912914\pi\) | |||||||
\(840\) | 17.5588 | − | 40.7577i | 0.605835 | − | 1.40627i | ||||
\(841\) | 17.5092 | + | 4.24417i | 0.603766 | + | 0.146351i | ||||
\(842\) | −3.46891 | − | 1.46876i | −0.119546 | − | 0.0506169i | ||||
\(843\) | 14.9205 | + | 5.66681i | 0.513889 | + | 0.195175i | ||||
\(844\) | 7.11482 | + | 17.1010i | 0.244902 | + | 0.588640i | ||||
\(845\) | −9.11873 | − | 6.41813i | −0.313694 | − | 0.220790i | ||||
\(846\) | 37.1135 | − | 24.0908i | 1.27599 | − | 0.828259i | ||||
\(847\) | −17.2920 | − | 57.0846i | −0.594162 | − | 1.96145i | ||||
\(848\) | −7.15824 | + | 6.51596i | −0.245815 | + | 0.223759i | ||||
\(849\) | −4.59794 | + | 9.65792i | −0.157801 | + | 0.331459i | ||||
\(850\) | 85.1446 | + | 77.5049i | 2.92044 | + | 2.65839i | ||||
\(851\) | 6.94047 | − | 2.83674i | 0.237916 | − | 0.0972424i | ||||
\(852\) | −26.3323 | + | 20.5790i | −0.902131 | + | 0.705024i | ||||
\(853\) | −2.89672 | + | 4.17080i | −0.0991818 | + | 0.142806i | −0.867821 | − | 0.496877i | \(-0.834480\pi\) |
0.768639 | + | 0.639683i | \(0.220934\pi\) | |||||||
\(854\) | 30.6651 | + | 24.5894i | 1.04934 | + | 0.841433i | ||||
\(855\) | 5.68514 | + | 8.63947i | 0.194428 | + | 0.295464i | ||||
\(856\) | −56.0340 | + | 26.2478i | −1.91520 | + | 0.897131i | ||||
\(857\) | 14.7139 | − | 22.9814i | 0.502616 | − | 0.785028i | −0.493804 | − | 0.869573i | \(-0.664394\pi\) |
0.996420 | + | 0.0845452i | \(0.0269437\pi\) | |||||||
\(858\) | −18.3855 | + | 9.18027i | −0.627672 | + | 0.313409i | ||||
\(859\) | −3.73378 | + | 0.187089i | −0.127395 | + | 0.00638340i | −0.113640 | − | 0.993522i | \(-0.536251\pi\) |
−0.0137551 | + | 0.999905i | \(0.504379\pi\) | |||||||
\(860\) | −0.446512 | + | 5.47626i | −0.0152259 | + | 0.186739i | ||||
\(861\) | 11.4205 | − | 2.16969i | 0.389209 | − | 0.0739427i | ||||
\(862\) | −32.3788 | + | 51.9937i | −1.10283 | + | 1.77091i | ||||
\(863\) | −12.0909 | + | 8.97091i | −0.411580 | + | 0.305373i | −0.781752 | − | 0.623590i | \(-0.785673\pi\) |
0.370171 | + | 0.928963i | \(0.379299\pi\) | |||||||
\(864\) | 1.44622 | − | 1.60889i | 0.0492014 | − | 0.0547355i | ||||
\(865\) | 32.6203 | − | 30.4486i | 1.10912 | − | 1.03528i | ||||
\(866\) | 19.6496 | − | 83.3383i | 0.667719 | − | 2.83195i | ||||
\(867\) | 1.17698 | + | 0.254284i | 0.0399724 | + | 0.00863595i | ||||
\(868\) | −68.2025 | + | 138.757i | −2.31494 | + | 4.70971i | ||||
\(869\) | 28.0529 | + | 72.4920i | 0.951629 | + | 2.45912i | ||||
\(870\) | 17.1542 | − | 0.214719i | 0.581583 | − | 0.00727965i | ||||
\(871\) | 0.639111 | − | 0.767063i | 0.0216554 | − | 0.0259909i | ||||
\(872\) | 29.0660 | + | 10.2144i | 0.984299 | + | 0.345904i | ||||
\(873\) | 5.38143 | − | 0.472699i | 0.182134 | − | 0.0159985i | ||||
\(874\) | −5.92608 | − | 5.53156i | −0.200453 | − | 0.187108i | ||||
\(875\) | −85.0287 | + | 56.7182i | −2.87450 | + | 1.91743i | ||||
\(876\) | −4.56221 | + | 17.3887i | −0.154143 | + | 0.587508i | ||||
\(877\) | −0.109570 | − | 0.186175i | −0.00369990 | − | 0.00628668i | 0.859968 | − | 0.510349i | \(-0.170484\pi\) |
−0.863667 | + | 0.504062i | \(0.831838\pi\) | |||||||
\(878\) | 14.9346 | − | 0.935850i | 0.504017 | − | 0.0315834i | ||||
\(879\) | 9.43477 | − | 5.31674i | 0.318227 | − | 0.179329i | ||||
\(880\) | 14.3297 | + | 68.3974i | 0.483053 | + | 2.30568i | ||||
\(881\) | 24.6861 | + | 18.7995i | 0.831696 | + | 0.633372i | 0.932353 | − | 0.361549i | \(-0.117752\pi\) |
−0.100657 | + | 0.994921i | \(0.532095\pi\) | |||||||
\(882\) | −83.9854 | − | 10.5671i | −2.82794 | − | 0.355813i | ||||
\(883\) | 13.1941 | + | 23.0747i | 0.444017 | + | 0.776524i | 0.998447 | − | 0.0557060i | \(-0.0177409\pi\) |
−0.554430 | + | 0.832230i | \(0.687064\pi\) | |||||||
\(884\) | 18.5570 | − | 51.7675i | 0.624138 | − | 1.74113i | ||||
\(885\) | 22.2981 | − | 16.1154i | 0.749542 | − | 0.541713i | ||||
\(886\) | −78.2869 | − | 5.89025i | −2.63010 | − | 0.197887i | ||||
\(887\) | 10.5811 | − | 10.3842i | 0.355277 | − | 0.348669i | −0.500757 | − | 0.865588i | \(-0.666945\pi\) |
0.856034 | + | 0.516919i | \(0.172921\pi\) | |||||||
\(888\) | −5.19863 | + | 1.53932i | −0.174455 | + | 0.0516561i | ||||
\(889\) | −4.06272 | − | 22.1395i | −0.136259 | − | 0.742534i | ||||
\(890\) | 54.9519 | + | 18.5419i | 1.84199 | + | 0.621525i | ||||
\(891\) | 32.1132 | − | 0.804045i | 1.07583 | − | 0.0269365i | ||||
\(892\) | 6.99284 | + | 28.0800i | 0.234138 | + | 0.940189i | ||||
\(893\) | −2.83510 | − | 5.76796i | −0.0948730 | − | 0.193017i | ||||
\(894\) | 10.2285 | − | 11.0965i | 0.342093 | − | 0.371121i | ||||
\(895\) | 45.3068 | + | 8.60748i | 1.51444 | + | 0.287716i | ||||
\(896\) | 23.8070 | − | 86.3228i | 0.795335 | − | 2.88384i | ||||
\(897\) | −4.07445 | − | 4.31066i | −0.136042 | − | 0.143929i | ||||
\(898\) | −51.9941 | + | 19.7474i | −1.73507 | + | 0.658980i | ||||
\(899\) | −29.3002 | − | 1.10071i | −0.977215 | − | 0.0367106i | ||||
\(900\) | 110.897 | − | 29.8388i | 3.69657 | − | 0.994627i | ||||
\(901\) | 9.20917 | − | 7.57587i | 0.306802 | − | 0.252389i | ||||
\(902\) | −40.8271 | + | 42.1251i | −1.35940 | + | 1.40261i | ||||
\(903\) | −0.822694 | + | 0.166992i | −0.0273776 | + | 0.00555714i | ||||
\(904\) | −30.0712 | − | 22.3115i | −1.00015 | − | 0.742068i | ||||
\(905\) | 85.2343 | − | 33.5986i | 2.83328 | − | 1.11686i | ||||
\(906\) | −7.25092 | − | 16.8310i | −0.240896 | − | 0.559171i | ||||
\(907\) | 2.05151 | + | 12.0255i | 0.0681193 | + | 0.399300i | 0.999388 | + | 0.0349679i | \(0.0111329\pi\) |
−0.931269 | + | 0.364332i | \(0.881297\pi\) | |||||||
\(908\) | 0.646959 | + | 34.4555i | 0.0214701 | + | 1.14345i | ||||
\(909\) | 3.68926 | + | 15.6470i | 0.122365 | + | 0.518978i | ||||
\(910\) | 114.328 | + | 76.2624i | 3.78994 | + | 2.52807i | ||||
\(911\) | −11.3378 | + | 10.0639i | −0.375637 | + | 0.333432i | −0.830386 | − | 0.557188i | \(-0.811880\pi\) |
0.454749 | + | 0.890620i | \(0.349729\pi\) | |||||||
\(912\) | 1.20568 | + | 1.37554i | 0.0399241 | + | 0.0455487i | ||||
\(913\) | −28.8288 | − | 28.2926i | −0.954094 | − | 0.936348i | ||||
\(914\) | 28.9689 | + | 15.3824i | 0.958206 | + | 0.508804i | ||||
\(915\) | 0.0482704 | − | 7.71310i | 0.00159577 | − | 0.254987i | ||||
\(916\) | 63.2444 | + | 56.1384i | 2.08965 | + | 1.85487i | ||||
\(917\) | −9.18930 | − | 35.0246i | −0.303457 | − | 1.15661i | ||||
\(918\) | 23.0253 | − | 23.1698i | 0.759947 | − | 0.764717i | ||||
\(919\) | −7.83400 | − | 11.5865i | −0.258420 | − | 0.382205i | 0.676862 | − | 0.736110i | \(-0.263340\pi\) |
−0.935281 | + | 0.353905i | \(0.884854\pi\) | |||||||
\(920\) | −56.7083 | + | 31.0279i | −1.86962 | + | 1.02296i | ||||
\(921\) | 1.13657 | − | 7.20521i | 0.0374513 | − | 0.237420i | ||||
\(922\) | 63.8430 | − | 11.3030i | 2.10256 | − | 0.372245i | ||||
\(923\) | −23.5293 | − | 44.9890i | −0.774475 | − | 1.48083i | ||||
\(924\) | −40.8123 | + | 21.6712i | −1.34263 | + | 0.712929i | ||||
\(925\) | 22.3300 | + | 6.61190i | 0.734205 | + | 0.217398i | ||||
\(926\) | −5.40918 | + | 50.6517i | −0.177757 | + | 1.66452i | ||||
\(927\) | 1.22925 | + | 21.8018i | 0.0403739 | + | 0.716065i | ||||
\(928\) | 2.31789 | − | 0.350778i | 0.0760883 | − | 0.0115149i | ||||
\(929\) | −0.237333 | + | 12.6398i | −0.00778666 | + | 0.414699i | 0.974193 | + | 0.225715i | \(0.0724717\pi\) |
−0.981980 | + | 0.188984i | \(0.939481\pi\) | |||||||
\(930\) | 44.7636 | − | 9.67106i | 1.46786 | − | 0.317127i | ||||
\(931\) | −2.97122 | + | 11.9311i | −0.0973779 | + | 0.391025i | ||||
\(932\) | 19.0334 | − | 85.5026i | 0.623461 | − | 2.80073i | ||||
\(933\) | 11.0478 | + | 10.5741i | 0.361688 | + | 0.346181i | ||||
\(934\) | 10.9829 | + | 31.8895i | 0.359372 | + | 1.04346i | ||||
\(935\) | −13.4143 | − | 85.0391i | −0.438695 | − | 2.78108i | ||||
\(936\) | −24.8099 | − | 32.1589i | −0.810937 | − | 1.05115i | ||||
\(937\) | 10.6329 | + | 23.0739i | 0.347360 | + | 0.753793i | 0.999992 | − | 0.00388216i | \(-0.00123573\pi\) |
−0.652632 | + | 0.757675i | \(0.726335\pi\) | |||||||
\(938\) | 2.10337 | − | 2.65697i | 0.0686774 | − | 0.0867533i | ||||
\(939\) | 13.0865 | − | 8.03635i | 0.427063 | − | 0.262256i | ||||
\(940\) | −103.479 | + | 14.3377i | −3.37513 | + | 0.467644i | ||||
\(941\) | −23.6736 | − | 32.3280i | −0.771738 | − | 1.05386i | −0.996833 | − | 0.0795245i | \(-0.974660\pi\) |
0.225095 | − | 0.974337i | \(-0.427731\pi\) | |||||||
\(942\) | −4.39463 | + | 6.16150i | −0.143185 | + | 0.200753i | ||||
\(943\) | −15.0531 | − | 7.75317i | −0.490195 | − | 0.252478i | ||||
\(944\) | −33.2879 | + | 31.8607i | −1.08343 | + | 1.03698i | ||||
\(945\) | 28.0115 | + | 46.2611i | 0.911213 | + | 1.50488i | ||||
\(946\) | 2.90999 | − | 3.07869i | 0.0946120 | − | 0.100097i | ||||
\(947\) | −12.1203 | + | 29.1319i | −0.393855 | + | 0.946659i | 0.595792 | + | 0.803139i | \(0.296838\pi\) |
−0.989647 | + | 0.143520i | \(0.954158\pi\) | |||||||
\(948\) | 27.9625 | − | 17.6573i | 0.908178 | − | 0.573481i | ||||
\(949\) | −24.7315 | − | 11.5849i | −0.802820 | − | 0.376061i | ||||
\(950\) | −3.61172 | − | 24.9187i | −0.117180 | − | 0.808471i | ||||
\(951\) | 7.73526 | + | 10.8452i | 0.250833 | + | 0.351681i | ||||
\(952\) | 28.7313 | − | 86.9424i | 0.931188 | − | 2.81782i | ||||
\(953\) | 20.9552 | − | 47.0133i | 0.678805 | − | 1.52291i | −0.165018 | − | 0.986291i | \(-0.552768\pi\) |
0.843823 | − | 0.536621i | \(-0.180300\pi\) | |||||||
\(954\) | −2.12973 | − | 17.8267i | −0.0689524 | − | 0.577160i | ||||
\(955\) | −0.779737 | + | 0.199370i | −0.0252317 | + | 0.00645147i | ||||
\(956\) | 10.8130 | + | 3.05507i | 0.349718 | + | 0.0988079i | ||||
\(957\) | −6.90469 | − | 5.39608i | −0.223197 | − | 0.174431i | ||||
\(958\) | 50.7246 | − | 15.7127i | 1.63884 | − | 0.507655i | ||||
\(959\) | 43.8679 | − | 1.64797i | 1.41657 | − | 0.0532157i | ||||
\(960\) | −17.3192 | + | 7.33308i | −0.558974 | + | 0.236674i | ||||
\(961\) | −46.6468 | + | 7.65770i | −1.50474 | + | 0.247023i | ||||
\(962\) | −1.78286 | − | 16.6947i | −0.0574816 | − | 0.538259i | ||||
\(963\) | 6.46362 | − | 35.2230i | 0.208287 | − | 1.13505i | ||||
\(964\) | −2.16626 | + | 3.90099i | −0.0697704 | + | 0.125642i | ||||
\(965\) | −8.33758 | + | 42.4361i | −0.268396 | + | 1.36607i | ||||
\(966\) | −14.1910 | − | 14.2801i | −0.456589 | − | 0.459455i | ||||
\(967\) | 17.4580 | − | 29.6637i | 0.561411 | − | 0.953920i | −0.437103 | − | 0.899412i | \(-0.643995\pi\) |
0.998513 | − | 0.0545087i | \(-0.0173593\pi\) | |||||||
\(968\) | 28.4161 | − | 56.0296i | 0.913329 | − | 1.80086i | ||||
\(969\) | −1.39866 | − | 1.76679i | −0.0449314 | − | 0.0567574i | ||||
\(970\) | −18.0820 | − | 6.60979i | −0.580577 | − | 0.212227i | ||||
\(971\) | −37.9587 | − | 0.950403i | −1.21815 | − | 0.0304999i | −0.589228 | − | 0.807967i | \(-0.700568\pi\) |
−0.628924 | + | 0.777467i | \(0.716504\pi\) | |||||||
\(972\) | −10.7967 | − | 48.5014i | −0.346305 | − | 1.55568i | ||||
\(973\) | 1.22249 | − | 2.01896i | 0.0391914 | − | 0.0647249i | ||||
\(974\) | −22.0726 | − | 80.0340i | −0.707251 | − | 2.56445i | ||||
\(975\) | −1.49720 | − | 18.3624i | −0.0479487 | − | 0.588069i | ||||
\(976\) | 1.69287 | + | 12.8070i | 0.0541874 | + | 0.409942i | ||||
\(977\) | −4.06884 | + | 34.0579i | −0.130174 | + | 1.08961i | 0.765044 | + | 0.643978i | \(0.222717\pi\) |
−0.895218 | + | 0.445629i | \(0.852980\pi\) | |||||||
\(978\) | 28.3728 | + | 16.9382i | 0.907264 | + | 0.541625i | ||||
\(979\) | −15.9736 | − | 24.9490i | −0.510519 | − | 0.797373i | ||||
\(980\) | 168.984 | + | 106.707i | 5.39801 | + | 3.40865i | ||||
\(981\) | −14.5809 | + | 10.2626i | −0.465531 | + | 0.327660i | ||||
\(982\) | 2.36159 | − | 5.88279i | 0.0753614 | − | 0.187728i | ||||
\(983\) | −7.50373 | + | 25.9370i | −0.239332 | + | 0.827263i | 0.747326 | + | 0.664457i | \(0.231337\pi\) |
−0.986658 | + | 0.162806i | \(0.947946\pi\) | |||||||
\(984\) | 10.2701 | + | 6.66641i | 0.327398 | + | 0.212517i | ||||
\(985\) | −18.2370 | − | 45.4290i | −0.581080 | − | 1.44749i | ||||
\(986\) | 35.2196 | − | 3.53839i | 1.12162 | − | 0.112685i | ||||
\(987\) | −6.49811 | − | 14.5786i | −0.206837 | − | 0.464042i | ||||
\(988\) | −10.3262 | + | 6.16459i | −0.328519 | + | 0.196122i | ||||
\(989\) | 1.09397 | + | 0.546239i | 0.0347861 | + | 0.0173694i | ||||
\(990\) | −118.714 | − | 52.0260i | −3.77297 | − | 1.65350i | ||||
\(991\) | 9.07530 | + | 5.57308i | 0.288287 | + | 0.177035i | 0.659901 | − | 0.751352i | \(-0.270598\pi\) |
−0.371615 | + | 0.928387i | \(0.621196\pi\) | |||||||
\(992\) | 5.87760 | − | 2.14853i | 0.186614 | − | 0.0682160i | ||||
\(993\) | 6.36006 | − | 2.14601i | 0.201830 | − | 0.0681016i | ||||
\(994\) | −83.6579 | − | 150.651i | −2.65347 | − | 4.77836i | ||||
\(995\) | −71.4673 | + | 23.1223i | −2.26567 | + | 0.733026i | ||||
\(996\) | −9.44676 | + | 14.3559i | −0.299332 | + | 0.454883i | ||||
\(997\) | −2.65841 | + | 18.3414i | −0.0841926 | + | 0.580879i | 0.903985 | + | 0.427565i | \(0.140628\pi\) |
−0.988177 | + | 0.153315i | \(0.951005\pi\) | |||||||
\(998\) | 19.7206 | − | 10.1572i | 0.624244 | − | 0.321521i | ||||
\(999\) | 2.15146 | − | 6.24689i | 0.0680693 | − | 0.197643i |
(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 | 503.2.c.a.2.3 | ✓ | 10250 | |
503.252 | even | 251 | inner | 503.2.c.a.252.3 | yes | 10250 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
503.2.c.a.2.3 | ✓ | 10250 | 1.1 | even | 1 | trivial | |
503.2.c.a.252.3 | yes | 10250 | 503.252 | even | 251 | inner |