Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(11,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 44, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.bf (of order \(66\), degree \(20\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(1280\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 11.13 | ||
Character | \(\chi\) | \(=\) | 966.11 |
Dual form | 966.2.bf.a.527.13 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{9}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.458227 | + | 0.888835i | −0.324015 | + | 0.628502i | ||||
\(3\) | −0.418014 | − | 1.68085i | −0.241340 | − | 0.970441i | ||||
\(4\) | −0.580057 | − | 0.814576i | −0.290028 | − | 0.407288i | ||||
\(5\) | −2.21751 | − | 2.11439i | −0.991699 | − | 0.945583i | 0.00682058 | − | 0.999977i | \(-0.497829\pi\) |
−0.998520 | + | 0.0543937i | \(0.982677\pi\) | |||||||
\(6\) | 1.68555 | + | 0.398666i | 0.688121 | + | 0.162755i | ||||
\(7\) | 0.589589 | + | 2.57922i | 0.222844 | + | 0.974854i | ||||
\(8\) | 0.989821 | − | 0.142315i | 0.349955 | − | 0.0503159i | ||||
\(9\) | −2.65053 | + | 1.40524i | −0.883510 | + | 0.468413i | ||||
\(10\) | 2.89546 | − | 1.00213i | 0.915626 | − | 0.316901i | ||||
\(11\) | 0.891435 | − | 0.459567i | 0.268778 | − | 0.138565i | −0.318570 | − | 0.947899i | \(-0.603203\pi\) |
0.587347 | + | 0.809335i | \(0.300172\pi\) | |||||||
\(12\) | −1.12671 | + | 1.31549i | −0.325253 | + | 0.379750i | ||||
\(13\) | −3.75450 | + | 4.33292i | −1.04131 | + | 1.20174i | −0.0622720 | + | 0.998059i | \(0.519835\pi\) |
−0.979038 | + | 0.203677i | \(0.934711\pi\) | |||||||
\(14\) | −2.56267 | − | 0.657821i | −0.684902 | − | 0.175810i | ||||
\(15\) | −2.62703 | + | 4.61114i | −0.678295 | + | 1.19059i | ||||
\(16\) | −0.327068 | + | 0.945001i | −0.0817670 | + | 0.236250i | ||||
\(17\) | 5.79660 | + | 0.553508i | 1.40588 | + | 0.134245i | 0.770247 | − | 0.637745i | \(-0.220133\pi\) |
0.635634 | + | 0.771991i | \(0.280739\pi\) | |||||||
\(18\) | −0.0344837 | − | 2.99980i | −0.00812789 | − | 0.707060i | ||||
\(19\) | −0.0799066 | − | 0.836820i | −0.0183318 | − | 0.191980i | −0.999999 | − | 0.00137671i | \(-0.999562\pi\) |
0.981667 | − | 0.190603i | \(-0.0610443\pi\) | |||||||
\(20\) | −0.436050 | + | 3.03279i | −0.0975037 | + | 0.678153i | ||||
\(21\) | 4.08883 | − | 2.06916i | 0.892257 | − | 0.451528i | ||||
\(22\) | 1.00292i | 0.213824i | ||||||||
\(23\) | 0.750107 | + | 4.73681i | 0.156408 | + | 0.987692i | ||||
\(24\) | −0.652969 | − | 1.60425i | −0.133287 | − | 0.327467i | ||||
\(25\) | 0.208788 | + | 4.38300i | 0.0417576 | + | 0.876600i | ||||
\(26\) | −2.13084 | − | 5.32259i | −0.417893 | − | 1.04385i | ||||
\(27\) | 3.46996 | + | 3.86774i | 0.667794 | + | 0.744347i | ||||
\(28\) | 1.75898 | − | 1.97636i | 0.332415 | − | 0.373497i | ||||
\(29\) | 7.59952 | − | 3.47059i | 1.41120 | − | 0.644472i | 0.443427 | − | 0.896311i | \(-0.353763\pi\) |
0.967769 | + | 0.251839i | \(0.0810353\pi\) | |||||||
\(30\) | −2.89478 | − | 4.44794i | −0.528511 | − | 0.812079i | ||||
\(31\) | −9.03944 | − | 3.61885i | −1.62353 | − | 0.649964i | −0.631433 | − | 0.775430i | \(-0.717533\pi\) |
−0.992098 | + | 0.125466i | \(0.959957\pi\) | |||||||
\(32\) | −0.690079 | − | 0.723734i | −0.121990 | − | 0.127939i | ||||
\(33\) | −1.14510 | − | 1.30627i | −0.199336 | − | 0.227392i | ||||
\(34\) | −3.14813 | + | 4.89859i | −0.539900 | + | 0.840101i | ||||
\(35\) | 4.14606 | − | 6.96606i | 0.700812 | − | 1.17748i | ||||
\(36\) | 2.68213 | + | 1.34394i | 0.447022 | + | 0.223990i | ||||
\(37\) | 5.19346 | − | 1.25992i | 0.853799 | − | 0.207129i | 0.215106 | − | 0.976591i | \(-0.430990\pi\) |
0.638693 | + | 0.769461i | \(0.279475\pi\) | |||||||
\(38\) | 0.780410 | + | 0.312429i | 0.126599 | + | 0.0506827i | ||||
\(39\) | 8.85243 | + | 4.49953i | 1.41752 | + | 0.720502i | ||||
\(40\) | −2.49584 | − | 1.77728i | −0.394628 | − | 0.281013i | ||||
\(41\) | −1.62379 | − | 5.53012i | −0.253593 | − | 0.863660i | −0.983622 | − | 0.180243i | \(-0.942312\pi\) |
0.730029 | − | 0.683416i | \(-0.239507\pi\) | |||||||
\(42\) | −0.0344681 | + | 4.58245i | −0.00531855 | + | 0.707087i | ||||
\(43\) | 10.0456 | + | 1.44434i | 1.53194 | + | 0.220260i | 0.856110 | − | 0.516794i | \(-0.172875\pi\) |
0.675834 | + | 0.737054i | \(0.263784\pi\) | |||||||
\(44\) | −0.891435 | − | 0.459567i | −0.134389 | − | 0.0692823i | ||||
\(45\) | 8.84879 | + | 2.48812i | 1.31910 | + | 0.370907i | ||||
\(46\) | −4.55396 | − | 1.50381i | −0.671445 | − | 0.221724i | ||||
\(47\) | −0.000940291 | 0 | 0.000542877i | −0.000137156 | 0 | 7.91868e-5i | −0.500069 | − | 0.865986i | \(-0.666692\pi\) |
0.499931 | + | 0.866065i | \(0.333359\pi\) | |||||||
\(48\) | 1.72513 | + | 0.154729i | 0.249000 | + | 0.0223333i | ||||
\(49\) | −6.30477 | + | 3.04136i | −0.900682 | + | 0.434480i | ||||
\(50\) | −3.99144 | − | 1.82283i | −0.564475 | − | 0.257787i | ||||
\(51\) | −1.49269 | − | 9.97460i | −0.209019 | − | 1.39672i | ||||
\(52\) | 5.70732 | + | 0.544983i | 0.791462 | + | 0.0755755i | ||||
\(53\) | 0.337680 | − | 0.0650824i | 0.0463839 | − | 0.00893976i | −0.166007 | − | 0.986125i | \(-0.553087\pi\) |
0.212390 | + | 0.977185i | \(0.431875\pi\) | |||||||
\(54\) | −5.02781 | + | 1.31192i | −0.684198 | + | 0.178530i | ||||
\(55\) | −2.94846 | − | 0.865747i | −0.397571 | − | 0.116737i | ||||
\(56\) | 0.950649 | + | 2.46906i | 0.127036 | + | 0.329942i | ||||
\(57\) | −1.37317 | + | 0.484113i | −0.181881 | + | 0.0641224i | ||||
\(58\) | −0.397523 | + | 8.34504i | −0.0521974 | + | 1.09576i | ||||
\(59\) | 6.79584 | − | 2.35206i | 0.884743 | − | 0.306212i | 0.153352 | − | 0.988172i | \(-0.450993\pi\) |
0.731390 | + | 0.681959i | \(0.238872\pi\) | |||||||
\(60\) | 5.27995 | − | 0.534814i | 0.681639 | − | 0.0690442i | ||||
\(61\) | 3.69824 | + | 4.70270i | 0.473511 | + | 0.602119i | 0.962871 | − | 0.269964i | \(-0.0870117\pi\) |
−0.489359 | + | 0.872082i | \(0.662769\pi\) | |||||||
\(62\) | 7.35867 | − | 6.37632i | 0.934552 | − | 0.809794i | ||||
\(63\) | −5.18715 | − | 6.00779i | −0.653519 | − | 0.756910i | ||||
\(64\) | 0.959493 | − | 0.281733i | 0.119937 | − | 0.0352166i | ||||
\(65\) | 17.4871 | − | 1.66982i | 2.16901 | − | 0.207115i | ||||
\(66\) | 1.68577 | − | 0.419236i | 0.207504 | − | 0.0516044i | ||||
\(67\) | 7.31373 | − | 0.348396i | 0.893515 | − | 0.0425634i | 0.404200 | − | 0.914671i | \(-0.367550\pi\) |
0.489315 | + | 0.872107i | \(0.337247\pi\) | |||||||
\(68\) | −2.91148 | − | 5.04283i | −0.353069 | − | 0.611534i | ||||
\(69\) | 7.64832 | − | 3.24087i | 0.920749 | − | 0.390155i | ||||
\(70\) | 4.29185 | + | 6.87720i | 0.512974 | + | 0.821982i | ||||
\(71\) | 4.98827 | + | 7.76191i | 0.591999 | + | 0.921169i | 0.999967 | + | 0.00817234i | \(0.00260136\pi\) |
−0.407967 | + | 0.912997i | \(0.633762\pi\) | |||||||
\(72\) | −2.42356 | + | 1.76815i | −0.285620 | + | 0.208378i | ||||
\(73\) | 7.08286 | + | 9.94649i | 0.828986 | + | 1.16415i | 0.984338 | + | 0.176289i | \(0.0564095\pi\) |
−0.155352 | + | 0.987859i | \(0.549651\pi\) | |||||||
\(74\) | −1.25992 | + | 5.19346i | −0.146463 | + | 0.603727i | ||||
\(75\) | 7.27990 | − | 2.18310i | 0.840611 | − | 0.252082i | ||||
\(76\) | −0.635303 | + | 0.550493i | −0.0728742 | + | 0.0631459i | ||||
\(77\) | 1.71090 | + | 2.02825i | 0.194976 | + | 0.231141i | ||||
\(78\) | −8.05576 | + | 5.80655i | −0.912136 | + | 0.657462i | ||||
\(79\) | −1.61359 | + | 8.37210i | −0.181543 | + | 0.941935i | 0.770839 | + | 0.637029i | \(0.219837\pi\) |
−0.952383 | + | 0.304906i | \(0.901375\pi\) | |||||||
\(80\) | 2.72337 | − | 1.40400i | 0.304482 | − | 0.156972i | ||||
\(81\) | 5.05061 | − | 7.44925i | 0.561178 | − | 0.827695i | ||||
\(82\) | 5.65943 | + | 1.09077i | 0.624979 | + | 0.120455i | ||||
\(83\) | −4.91571 | − | 1.44338i | −0.539569 | − | 0.158432i | 0.000582158 | − | 1.00000i | \(-0.499815\pi\) |
−0.540151 | + | 0.841568i | \(0.681633\pi\) | |||||||
\(84\) | −4.05725 | − | 2.13043i | −0.442682 | − | 0.232449i | ||||
\(85\) | −11.6837 | − | 13.4837i | −1.26727 | − | 1.46251i | ||||
\(86\) | −5.88696 | + | 8.26707i | −0.634807 | + | 0.891461i | ||||
\(87\) | −9.01025 | − | 11.3229i | −0.966000 | − | 1.21394i | ||||
\(88\) | 0.816958 | − | 0.581753i | 0.0870880 | − | 0.0620151i | ||||
\(89\) | −0.743702 | + | 0.297733i | −0.0788322 | + | 0.0315597i | −0.410743 | − | 0.911751i | \(-0.634731\pi\) |
0.331911 | + | 0.943311i | \(0.392307\pi\) | |||||||
\(90\) | −6.26628 | + | 6.72499i | −0.660524 | + | 0.708876i | ||||
\(91\) | −13.3892 | − | 7.12904i | −1.40357 | − | 0.747327i | ||||
\(92\) | 3.42338 | − | 3.35864i | 0.356912 | − | 0.350162i | ||||
\(93\) | −2.30413 | + | 16.7067i | −0.238928 | + | 1.73240i | ||||
\(94\) | −5.16623e−5 | − | 0.00108452i | −5.32856e−6 | − | 0.000111860i | ||||
\(95\) | −1.59217 | + | 2.02461i | −0.163353 | + | 0.207720i | ||||
\(96\) | −0.928027 | + | 1.46245i | −0.0947164 | + | 0.149261i | ||||
\(97\) | 0.0235284 | + | 0.0801303i | 0.00238895 | + | 0.00813600i | 0.960679 | − | 0.277662i | \(-0.0895595\pi\) |
−0.958290 | + | 0.285798i | \(0.907741\pi\) | |||||||
\(98\) | 0.185745 | − | 6.99754i | 0.0187631 | − | 0.706858i | ||||
\(99\) | −1.71697 | + | 2.47077i | −0.172562 | + | 0.248322i | ||||
\(100\) | 3.44918 | − | 2.71246i | 0.344918 | − | 0.271246i | ||||
\(101\) | −5.40086 | − | 5.66426i | −0.537406 | − | 0.563615i | 0.397912 | − | 0.917424i | \(-0.369735\pi\) |
−0.935318 | + | 0.353809i | \(0.884886\pi\) | |||||||
\(102\) | 9.54977 | + | 3.24387i | 0.945568 | + | 0.321191i | ||||
\(103\) | 12.1176 | + | 0.577230i | 1.19398 | + | 0.0568762i | 0.635138 | − | 0.772399i | \(-0.280943\pi\) |
0.558841 | + | 0.829275i | \(0.311246\pi\) | |||||||
\(104\) | −3.09964 | + | 4.82314i | −0.303945 | + | 0.472948i | ||||
\(105\) | −13.4420 | − | 4.05700i | −1.31181 | − | 0.395923i | ||||
\(106\) | −0.0968862 | + | 0.329964i | −0.00941042 | + | 0.0320489i | ||||
\(107\) | −7.70434 | + | 6.05876i | −0.744807 | + | 0.585723i | −0.916786 | − | 0.399378i | \(-0.869226\pi\) |
0.171980 | + | 0.985101i | \(0.444984\pi\) | |||||||
\(108\) | 1.13779 | − | 5.07005i | 0.109484 | − | 0.487866i | ||||
\(109\) | −1.45600 | + | 15.2479i | −0.139460 | + | 1.46049i | 0.606812 | + | 0.794846i | \(0.292448\pi\) |
−0.746271 | + | 0.665642i | \(0.768158\pi\) | |||||||
\(110\) | 2.12057 | − | 2.22399i | 0.202189 | − | 0.212049i | ||||
\(111\) | −4.28867 | − | 8.20277i | −0.407063 | − | 0.778572i | ||||
\(112\) | −2.63020 | − | 0.286419i | −0.248531 | − | 0.0270641i | ||||
\(113\) | −3.48637 | + | 2.24055i | −0.327970 | + | 0.210774i | −0.694255 | − | 0.719729i | \(-0.744266\pi\) |
0.366285 | + | 0.930503i | \(0.380630\pi\) | |||||||
\(114\) | 0.198925 | − | 1.44235i | 0.0186310 | − | 0.135089i | ||||
\(115\) | 8.35208 | − | 12.0899i | 0.778835 | − | 1.12739i | ||||
\(116\) | −7.23521 | − | 4.17725i | −0.671773 | − | 0.387848i | ||||
\(117\) | 3.86261 | − | 16.7605i | 0.357099 | − | 1.54951i | ||||
\(118\) | −1.02344 | + | 7.11816i | −0.0942150 | + | 0.655280i | ||||
\(119\) | 1.98999 | + | 15.2771i | 0.182422 | + | 1.40045i | ||||
\(120\) | −1.94405 | + | 4.93807i | −0.177467 | + | 0.450782i | ||||
\(121\) | −5.79717 | + | 8.14099i | −0.527016 | + | 0.740090i | ||||
\(122\) | −5.87456 | + | 1.13223i | −0.531857 | + | 0.102507i | ||||
\(123\) | −8.61655 | + | 5.04102i | −0.776928 | + | 0.454533i | ||||
\(124\) | 2.29556 | + | 9.46245i | 0.206148 | + | 0.849753i | ||||
\(125\) | −1.22802 | + | 1.41721i | −0.109838 | + | 0.126760i | ||||
\(126\) | 7.71682 | − | 1.85759i | 0.687469 | − | 0.165487i | ||||
\(127\) | −9.88589 | − | 6.35328i | −0.877231 | − | 0.563762i | 0.0227256 | − | 0.999742i | \(-0.492766\pi\) |
−0.899957 | + | 0.435980i | \(0.856402\pi\) | |||||||
\(128\) | −0.189251 | + | 0.981929i | −0.0167276 | + | 0.0867911i | ||||
\(129\) | −1.77148 | − | 17.4890i | −0.155970 | − | 1.53982i | ||||
\(130\) | −6.52886 | + | 16.3083i | −0.572619 | + | 1.43033i | ||||
\(131\) | 9.60118 | + | 3.32300i | 0.838859 | + | 0.290332i | 0.712517 | − | 0.701655i | \(-0.247555\pi\) |
0.126342 | + | 0.991987i | \(0.459676\pi\) | |||||||
\(132\) | −0.399832 | + | 1.69048i | −0.0348009 | + | 0.147137i | ||||
\(133\) | 2.11123 | − | 0.699476i | 0.183067 | − | 0.0606523i | ||||
\(134\) | −3.04168 | + | 6.66035i | −0.262761 | + | 0.575367i | ||||
\(135\) | 0.483247 | − | 15.9136i | 0.0415913 | − | 1.36962i | ||||
\(136\) | 5.81637 | − | 0.277068i | 0.498749 | − | 0.0237584i | ||||
\(137\) | 9.34049 | − | 16.1782i | 0.798012 | − | 1.38220i | −0.122897 | − | 0.992419i | \(-0.539219\pi\) |
0.920909 | − | 0.389778i | \(-0.127448\pi\) | |||||||
\(138\) | −0.624061 | + | 8.28315i | −0.0531236 | + | 0.705108i | ||||
\(139\) | 0.990424 | 0.0840066 | 0.0420033 | − | 0.999117i | \(-0.486626\pi\) | ||||
0.0420033 | + | 0.999117i | \(0.486626\pi\) | |||||||
\(140\) | −8.07934 | + | 0.663431i | −0.682828 | + | 0.0560702i | ||||
\(141\) | 0.00130555 | + | 0.00135356i | 0.000109947 | + | 0.000113990i | ||||
\(142\) | −9.18482 | + | 0.877044i | −0.770773 | + | 0.0735999i | ||||
\(143\) | −1.35562 | + | 5.58796i | −0.113363 | + | 0.467289i | ||||
\(144\) | −0.461049 | − | 2.96436i | −0.0384208 | − | 0.247030i | ||||
\(145\) | −24.1902 | − | 8.37229i | −2.00888 | − | 0.695281i | ||||
\(146\) | −12.0863 | + | 1.73775i | −1.00027 | + | 0.143818i | ||||
\(147\) | 7.74756 | + | 9.32606i | 0.639008 | + | 0.769200i | ||||
\(148\) | −4.03880 | − | 3.49964i | −0.331987 | − | 0.287669i | ||||
\(149\) | −1.07668 | + | 22.6024i | −0.0882053 | + | 1.85166i | 0.330834 | + | 0.943689i | \(0.392670\pi\) |
−0.419039 | + | 0.907968i | \(0.637633\pi\) | |||||||
\(150\) | −1.39543 | + | 7.47099i | −0.113936 | + | 0.610004i | ||||
\(151\) | 2.71281 | + | 7.83815i | 0.220765 | + | 0.637859i | 0.999939 | + | 0.0110513i | \(0.00351781\pi\) |
−0.779174 | + | 0.626808i | \(0.784361\pi\) | |||||||
\(152\) | −0.198185 | − | 0.816930i | −0.0160749 | − | 0.0662618i | ||||
\(153\) | −16.1419 | + | 6.67852i | −1.30499 | + | 0.539926i | ||||
\(154\) | −2.58677 | + | 0.591313i | −0.208447 | + | 0.0476494i | ||||
\(155\) | 12.3934 | + | 27.1377i | 0.995459 | + | 2.17975i | ||||
\(156\) | −1.46970 | − | 9.82096i | −0.117670 | − | 0.786306i | ||||
\(157\) | 2.36316 | − | 1.68280i | 0.188601 | − | 0.134302i | −0.481856 | − | 0.876250i | \(-0.660037\pi\) |
0.670457 | + | 0.741948i | \(0.266098\pi\) | |||||||
\(158\) | −6.70203 | − | 5.27054i | −0.533185 | − | 0.419301i | ||||
\(159\) | −0.250549 | − | 0.540384i | −0.0198698 | − | 0.0428553i | ||||
\(160\) | 3.06398i | 0.242229i | ||||||||
\(161\) | −11.7750 | + | 4.72746i | −0.928002 | + | 0.372576i | ||||
\(162\) | 4.30684 | + | 7.90260i | 0.338377 | + | 0.620887i | ||||
\(163\) | 13.9234 | + | 7.17804i | 1.09057 | + | 0.562227i | 0.907150 | − | 0.420808i | \(-0.138253\pi\) |
0.183419 | + | 0.983035i | \(0.441284\pi\) | |||||||
\(164\) | −3.56281 | + | 4.53048i | −0.278209 | + | 0.353771i | ||||
\(165\) | −0.222694 | + | 5.31783i | −0.0173367 | + | 0.413992i | ||||
\(166\) | 3.53544 | − | 3.70786i | 0.274403 | − | 0.287786i | ||||
\(167\) | 1.13526 | − | 0.518455i | 0.0878489 | − | 0.0401192i | −0.371006 | − | 0.928630i | \(-0.620987\pi\) |
0.458855 | + | 0.888511i | \(0.348260\pi\) | |||||||
\(168\) | 3.75274 | − | 2.63000i | 0.289530 | − | 0.202909i | ||||
\(169\) | −2.82786 | − | 19.6682i | −0.217528 | − | 1.51294i | ||||
\(170\) | 17.3385 | − | 4.20628i | 1.32980 | − | 0.322607i | ||||
\(171\) | 1.38773 | + | 2.10573i | 0.106122 | + | 0.161029i | ||||
\(172\) | −4.65051 | − | 9.02073i | −0.354598 | − | 0.687824i | ||||
\(173\) | −6.59753 | − | 0.314279i | −0.501601 | − | 0.0238942i | −0.204743 | − | 0.978816i | \(-0.565636\pi\) |
−0.296858 | + | 0.954922i | \(0.595939\pi\) | |||||||
\(174\) | 14.1929 | − | 2.82016i | 1.07596 | − | 0.213796i | ||||
\(175\) | −11.1816 | + | 3.12268i | −0.845252 | + | 0.236052i | ||||
\(176\) | 0.142731 | + | 0.992716i | 0.0107588 | + | 0.0748288i | ||||
\(177\) | −6.79422 | − | 10.4396i | −0.510685 | − | 0.784689i | ||||
\(178\) | 0.0761480 | − | 0.797458i | 0.00570753 | − | 0.0597720i | ||||
\(179\) | 23.8999 | + | 5.79805i | 1.78636 | + | 0.433366i | 0.986082 | − | 0.166261i | \(-0.0531694\pi\) |
0.800279 | + | 0.599628i | \(0.204685\pi\) | |||||||
\(180\) | −3.10604 | − | 8.65126i | −0.231510 | − | 0.644827i | ||||
\(181\) | 10.1393 | + | 1.45781i | 0.753646 | + | 0.108358i | 0.508421 | − | 0.861108i | \(-0.330229\pi\) |
0.245225 | + | 0.969466i | \(0.421138\pi\) | |||||||
\(182\) | 12.4718 | − | 8.63406i | 0.924473 | − | 0.639999i | ||||
\(183\) | 6.35862 | − | 8.18199i | 0.470043 | − | 0.604830i | ||||
\(184\) | 1.41659 | + | 4.58184i | 0.104432 | + | 0.337778i | ||||
\(185\) | −14.1805 | − | 8.18710i | −1.04257 | − | 0.601928i | ||||
\(186\) | −13.7937 | − | 9.70344i | −1.01140 | − | 0.711491i | ||||
\(187\) | 5.42166 | − | 2.17051i | 0.396471 | − | 0.158723i | ||||
\(188\) | 0.000987637 | 0 | 0.000451039i | 7.20308e−5 | 0 | 3.28954e-5i | ||||
\(189\) | −7.92991 | + | 11.2302i | −0.576816 | + | 0.816874i | ||||
\(190\) | −1.06997 | − | 2.34290i | −0.0776237 | − | 0.169972i | ||||
\(191\) | 7.73220 | − | 22.3407i | 0.559482 | − | 1.61652i | −0.209896 | − | 0.977724i | \(-0.567312\pi\) |
0.769378 | − | 0.638794i | \(-0.220566\pi\) | |||||||
\(192\) | −0.874632 | − | 1.49500i | −0.0631211 | − | 0.107892i | ||||
\(193\) | −4.80869 | + | 4.58507i | −0.346137 | + | 0.330041i | −0.843126 | − | 0.537716i | \(-0.819287\pi\) |
0.496989 | + | 0.867757i | \(0.334439\pi\) | |||||||
\(194\) | −0.0820040 | − | 0.0158050i | −0.00588755 | − | 0.00113473i | ||||
\(195\) | −10.1166 | − | 28.6952i | −0.724462 | − | 2.05491i | ||||
\(196\) | 6.13454 | + | 3.37155i | 0.438182 | + | 0.240825i | ||||
\(197\) | −13.7085 | − | 11.8785i | −0.976693 | − | 0.846309i | 0.0114366 | − | 0.999935i | \(-0.496360\pi\) |
−0.988129 | + | 0.153626i | \(0.950905\pi\) | |||||||
\(198\) | −1.40935 | − | 2.65828i | −0.100158 | − | 0.188916i | ||||
\(199\) | −4.87841 | + | 12.1857i | −0.345821 | + | 0.863819i | 0.648869 | + | 0.760900i | \(0.275242\pi\) |
−0.994690 | + | 0.102919i | \(0.967182\pi\) | |||||||
\(200\) | 0.830429 | + | 4.30867i | 0.0587202 | + | 0.304669i | ||||
\(201\) | −3.64284 | − | 12.1477i | −0.256946 | − | 0.856831i | ||||
\(202\) | 7.50941 | − | 2.20496i | 0.528360 | − | 0.155141i | ||||
\(203\) | 13.4320 | + | 17.5546i | 0.942742 | + | 1.23209i | ||||
\(204\) | −7.25922 | + | 7.00175i | −0.508247 | + | 0.490220i | ||||
\(205\) | −8.09205 | + | 15.6964i | −0.565174 | + | 1.09628i | ||||
\(206\) | −6.06565 | + | 10.5060i | −0.422614 | + | 0.731988i | ||||
\(207\) | −8.64453 | − | 11.5010i | −0.600836 | − | 0.799372i | ||||
\(208\) | −2.86664 | − | 4.96516i | −0.198766 | − | 0.344272i | ||||
\(209\) | −0.455806 | − | 0.709248i | −0.0315288 | − | 0.0490597i | ||||
\(210\) | 9.76550 | − | 10.0887i | 0.673884 | − | 0.696188i | ||||
\(211\) | 6.83150 | − | 14.9589i | 0.470300 | − | 1.02981i | −0.514718 | − | 0.857360i | \(-0.672103\pi\) |
0.985018 | − | 0.172453i | \(-0.0551693\pi\) | |||||||
\(212\) | −0.248888 | − | 0.237314i | −0.0170937 | − | 0.0162988i | ||||
\(213\) | 10.9615 | − | 11.6291i | 0.751066 | − | 0.796815i | ||||
\(214\) | −1.85491 | − | 9.62418i | −0.126799 | − | 0.657895i | ||||
\(215\) | −19.2223 | − | 24.4432i | −1.31095 | − | 1.66701i | ||||
\(216\) | 3.98507 | + | 3.33454i | 0.271150 | + | 0.226887i | ||||
\(217\) | 4.00426 | − | 25.4483i | 0.271827 | − | 1.72755i | ||||
\(218\) | −12.8857 | − | 8.28116i | −0.872732 | − | 0.560871i | ||||
\(219\) | 13.7578 | − | 16.0630i | 0.929669 | − | 1.08544i | ||||
\(220\) | 1.00506 | + | 2.90393i | 0.0677612 | + | 0.195783i | ||||
\(221\) | −24.1616 | + | 23.0381i | −1.62529 | + | 1.54971i | ||||
\(222\) | 9.25609 | − | 0.0531992i | 0.621228 | − | 0.00357050i | ||||
\(223\) | 10.5178 | + | 12.1382i | 0.704326 | + | 0.812835i | 0.989330 | − | 0.145691i | \(-0.0465406\pi\) |
−0.285005 | + | 0.958526i | \(0.591995\pi\) | |||||||
\(224\) | 1.45981 | − | 2.20657i | 0.0975375 | − | 0.147433i | ||||
\(225\) | −6.71256 | − | 11.3239i | −0.447504 | − | 0.754925i | ||||
\(226\) | −0.393936 | − | 4.12549i | −0.0262043 | − | 0.274423i | ||||
\(227\) | −4.21348 | − | 3.31352i | −0.279658 | − | 0.219926i | 0.468471 | − | 0.883479i | \(-0.344805\pi\) |
−0.748129 | + | 0.663553i | \(0.769048\pi\) | |||||||
\(228\) | 1.19086 | + | 0.837736i | 0.0788668 | + | 0.0554805i | ||||
\(229\) | −10.2897 | + | 5.94074i | −0.679960 | + | 0.392575i | −0.799840 | − | 0.600213i | \(-0.795082\pi\) |
0.119880 | + | 0.992788i | \(0.461749\pi\) | |||||||
\(230\) | 6.91880 | + | 12.9635i | 0.456212 | + | 0.854791i | ||||
\(231\) | 2.69401 | − | 3.72362i | 0.177253 | − | 0.244996i | ||||
\(232\) | 7.02825 | − | 4.51679i | 0.461428 | − | 0.296541i | ||||
\(233\) | −0.133035 | − | 0.332305i | −0.00871541 | − | 0.0217701i | 0.923946 | − | 0.382522i | \(-0.124944\pi\) |
−0.932662 | + | 0.360752i | \(0.882520\pi\) | |||||||
\(234\) | 13.1274 | + | 11.1133i | 0.858163 | + | 0.726501i | ||||
\(235\) | 0.00323295 | 0.000784306i | 0.000210895 | 5.11625e-5i | ||||||
\(236\) | −5.85791 | − | 4.17140i | −0.381317 | − | 0.271535i | ||||
\(237\) | 14.7468 | − | 0.787448i | 0.957906 | − | 0.0511502i | ||||
\(238\) | −14.4907 | − | 5.23158i | −0.939289 | − | 0.339113i | ||||
\(239\) | −2.64714 | + | 9.01532i | −0.171229 | + | 0.583152i | 0.828503 | + | 0.559985i | \(0.189193\pi\) |
−0.999732 | + | 0.0231672i | \(0.992625\pi\) | |||||||
\(240\) | −3.49832 | − | 3.99070i | −0.225816 | − | 0.257599i | ||||
\(241\) | −6.41547 | − | 12.4443i | −0.413256 | − | 0.801606i | 0.586710 | − | 0.809797i | \(-0.300423\pi\) |
−0.999966 | + | 0.00819144i | \(0.997393\pi\) | |||||||
\(242\) | −4.57958 | − | 8.88315i | −0.294387 | − | 0.571030i | ||||
\(243\) | −14.6323 | − | 5.37543i | −0.938664 | − | 0.344834i | ||||
\(244\) | 1.68551 | − | 5.74033i | 0.107904 | − | 0.367487i | ||||
\(245\) | 20.4115 | + | 6.58650i | 1.30404 | + | 0.420796i | ||||
\(246\) | −0.532304 | − | 9.96862i | −0.0339385 | − | 0.635576i | ||||
\(247\) | 3.92588 | + | 2.79561i | 0.249798 | + | 0.177880i | ||||
\(248\) | −9.46245 | − | 2.29556i | −0.600866 | − | 0.145768i | ||||
\(249\) | −0.371278 | + | 8.86593i | −0.0235288 | + | 0.561855i | ||||
\(250\) | −0.696958 | − | 1.74092i | −0.0440795 | − | 0.110105i | ||||
\(251\) | 8.77287 | − | 5.63798i | 0.553739 | − | 0.355866i | −0.233652 | − | 0.972320i | \(-0.575068\pi\) |
0.787391 | + | 0.616454i | \(0.211431\pi\) | |||||||
\(252\) | −1.88496 | + | 7.71018i | −0.118741 | + | 0.485696i | ||||
\(253\) | 2.84555 | + | 3.87783i | 0.178898 | + | 0.243797i | ||||
\(254\) | 10.1770 | − | 5.87569i | 0.638561 | − | 0.368674i | ||||
\(255\) | −17.7801 | + | 25.2749i | −1.11343 | + | 1.58277i | ||||
\(256\) | −0.786053 | − | 0.618159i | −0.0491283 | − | 0.0386349i | ||||
\(257\) | 1.20637 | + | 12.6337i | 0.0752514 | + | 0.788068i | 0.951793 | + | 0.306742i | \(0.0992388\pi\) |
−0.876541 | + | 0.481326i | \(0.840155\pi\) | |||||||
\(258\) | 16.3566 | + | 6.43935i | 1.01831 | + | 0.400897i | ||||
\(259\) | 6.31161 | + | 12.6522i | 0.392184 | + | 0.786172i | ||||
\(260\) | −11.5037 | − | 13.2760i | −0.713429 | − | 0.823341i | ||||
\(261\) | −15.2658 | + | 19.8780i | −0.944926 | + | 1.23042i | ||||
\(262\) | −7.35312 | + | 7.01118i | −0.454277 | + | 0.433152i | ||||
\(263\) | 1.30734 | + | 3.77730i | 0.0806138 | + | 0.232918i | 0.978104 | − | 0.208116i | \(-0.0667331\pi\) |
−0.897490 | + | 0.441034i | \(0.854612\pi\) | |||||||
\(264\) | −1.31934 | − | 1.13001i | −0.0811998 | − | 0.0695470i | ||||
\(265\) | −0.886416 | − | 0.569665i | −0.0544521 | − | 0.0349942i | ||||
\(266\) | −0.345703 | + | 2.19706i | −0.0211964 | + | 0.134710i | ||||
\(267\) | 0.811323 | + | 1.12560i | 0.0496522 | + | 0.0688854i | ||||
\(268\) | −4.52618 | − | 5.75550i | −0.276480 | − | 0.351573i | ||||
\(269\) | −2.01797 | − | 10.4702i | −0.123038 | − | 0.638381i | −0.990121 | − | 0.140217i | \(-0.955220\pi\) |
0.867083 | − | 0.498164i | \(-0.165992\pi\) | |||||||
\(270\) | 13.9231 | + | 7.72155i | 0.847333 | + | 0.469918i | ||||
\(271\) | 19.3933 | + | 18.4915i | 1.17806 | + | 1.12328i | 0.989992 | + | 0.141124i | \(0.0450716\pi\) |
0.188070 | + | 0.982156i | \(0.439777\pi\) | |||||||
\(272\) | −2.41895 | + | 5.29675i | −0.146670 | + | 0.321163i | ||||
\(273\) | −6.38600 | + | 25.4853i | −0.386499 | + | 1.54244i | ||||
\(274\) | 10.0997 | + | 15.7154i | 0.610145 | + | 0.949404i | ||||
\(275\) | 2.20040 | + | 3.81121i | 0.132689 | + | 0.229825i | ||||
\(276\) | −7.07639 | − | 4.35025i | −0.425949 | − | 0.261854i | ||||
\(277\) | 3.13011 | − | 5.42151i | 0.188070 | − | 0.325747i | −0.756537 | − | 0.653951i | \(-0.773110\pi\) |
0.944607 | + | 0.328204i | \(0.106443\pi\) | |||||||
\(278\) | −0.453838 | + | 0.880324i | −0.0272194 | + | 0.0527983i | ||||
\(279\) | 29.0446 | − | 3.11072i | 1.73886 | − | 0.186234i | ||||
\(280\) | 3.11248 | − | 7.48520i | 0.186007 | − | 0.447326i | ||||
\(281\) | −28.7952 | + | 8.45502i | −1.71778 | + | 0.504384i | −0.984476 | − | 0.175521i | \(-0.943839\pi\) |
−0.733300 | + | 0.679905i | \(0.762021\pi\) | |||||||
\(282\) | −0.00180133 | 0.000540183i | −0.000107268 | 3.21674e-5i | ||||||
\(283\) | −4.20442 | − | 21.8146i | −0.249927 | − | 1.29674i | −0.862390 | − | 0.506245i | \(-0.831033\pi\) |
0.612463 | − | 0.790500i | \(-0.290179\pi\) | |||||||
\(284\) | 3.42918 | − | 8.56568i | 0.203484 | − | 0.508279i | ||||
\(285\) | 4.06861 | + | 1.82989i | 0.241004 | + | 0.108393i | ||||
\(286\) | −4.34559 | − | 3.76548i | −0.256960 | − | 0.222657i | ||||
\(287\) | 13.3060 | − | 7.44861i | 0.785430 | − | 0.439677i | ||||
\(288\) | 2.84609 | + | 0.948552i | 0.167708 | + | 0.0558940i | ||||
\(289\) | 16.6014 | + | 3.19965i | 0.976552 | + | 0.188215i | ||||
\(290\) | 18.5262 | − | 17.6647i | 1.08789 | − | 1.03730i | ||||
\(291\) | 0.124852 | − | 0.0730433i | 0.00731896 | − | 0.00428188i | ||||
\(292\) | 3.99371 | − | 11.5391i | 0.233714 | − | 0.675272i | ||||
\(293\) | −9.55864 | − | 20.9305i | −0.558422 | − | 1.22277i | −0.952736 | − | 0.303798i | \(-0.901745\pi\) |
0.394315 | − | 0.918976i | \(-0.370982\pi\) | |||||||
\(294\) | −11.8395 | + | 2.61286i | −0.690492 | + | 0.152385i | ||||
\(295\) | −20.0430 | − | 9.15333i | −1.16695 | − | 0.532927i | ||||
\(296\) | 4.96129 | − | 1.98620i | 0.288369 | − | 0.115446i | ||||
\(297\) | 4.87072 | + | 1.85316i | 0.282628 | + | 0.107531i | ||||
\(298\) | −19.5964 | − | 11.3140i | −1.13519 | − | 0.655402i | ||||
\(299\) | −23.3405 | − | 14.5342i | −1.34982 | − | 0.840533i | ||||
\(300\) | −6.00106 | − | 4.66371i | −0.346471 | − | 0.269260i | ||||
\(301\) | 2.19751 | + | 26.7615i | 0.126662 | + | 1.54251i | ||||
\(302\) | −8.20991 | − | 1.18041i | −0.472427 | − | 0.0679247i | ||||
\(303\) | −7.26315 | + | 11.4458i | −0.417257 | + | 0.657543i | ||||
\(304\) | 0.816930 | + | 0.198185i | 0.0468542 | + | 0.0113667i | ||||
\(305\) | 1.74245 | − | 18.2478i | 0.0997725 | − | 1.04486i | ||||
\(306\) | 1.46053 | − | 17.4077i | 0.0834927 | − | 0.995134i | ||||
\(307\) | 3.29148 | + | 22.8928i | 0.187855 | + | 1.30656i | 0.837548 | + | 0.546363i | \(0.183988\pi\) |
−0.649693 | + | 0.760196i | \(0.725103\pi\) | |||||||
\(308\) | 0.659744 | − | 2.57016i | 0.0375924 | − | 0.146449i | ||||
\(309\) | −4.09507 | − | 20.6091i | −0.232960 | − | 1.17241i | ||||
\(310\) | −29.7999 | − | 1.41954i | −1.69252 | − | 0.0806247i | ||||
\(311\) | −0.851320 | − | 1.65133i | −0.0482740 | − | 0.0936384i | 0.863465 | − | 0.504410i | \(-0.168290\pi\) |
−0.911738 | + | 0.410771i | \(0.865260\pi\) | |||||||
\(312\) | 9.40268 | + | 3.19390i | 0.532322 | + | 0.180819i | ||||
\(313\) | 3.27508 | − | 0.794527i | 0.185119 | − | 0.0449093i | −0.142128 | − | 0.989848i | \(-0.545394\pi\) |
0.327246 | + | 0.944939i | \(0.393879\pi\) | |||||||
\(314\) | 0.412869 | + | 2.87157i | 0.0232995 | + | 0.162052i | ||||
\(315\) | −1.20027 | + | 24.2899i | −0.0676275 | + | 1.36858i | ||||
\(316\) | 7.75569 | − | 3.54190i | 0.436291 | − | 0.199248i | ||||
\(317\) | −7.30680 | + | 7.66315i | −0.410391 | + | 0.430405i | −0.896194 | − | 0.443663i | \(-0.853679\pi\) |
0.485803 | + | 0.874068i | \(0.338527\pi\) | |||||||
\(318\) | 0.595121 | + | 0.0249218i | 0.0333727 | + | 0.00139755i | ||||
\(319\) | 5.17951 | − | 6.58629i | 0.289997 | − | 0.368761i | ||||
\(320\) | −2.72337 | − | 1.40400i | −0.152241 | − | 0.0784858i | ||||
\(321\) | 13.4044 | + | 10.4172i | 0.748161 | + | 0.581432i | ||||
\(322\) | 1.19369 | − | 12.6323i | 0.0665219 | − | 0.703971i | ||||
\(323\) | − | 4.89494i | − | 0.272362i | ||||||
\(324\) | −8.99762 | + | 0.206889i | −0.499868 | + | 0.0114938i | ||||
\(325\) | −19.7751 | − | 15.5513i | −1.09692 | − | 0.862631i | ||||
\(326\) | −12.7602 | + | 9.08649i | −0.706721 | + | 0.503254i | ||||
\(327\) | 26.2382 | − | 3.92653i | 1.45097 | − | 0.217137i | ||||
\(328\) | −2.39428 | − | 5.24274i | −0.132202 | − | 0.289482i | ||||
\(329\) | −0.00195459 | − | 0.00210514i | −0.000107760 | − | 0.000116060i | ||||
\(330\) | −4.62463 | − | 2.63471i | −0.254578 | − | 0.145036i | ||||
\(331\) | 2.70130 | + | 11.1349i | 0.148477 | + | 0.612031i | 0.996612 | + | 0.0822501i | \(0.0262106\pi\) |
−0.848135 | + | 0.529781i | \(0.822274\pi\) | |||||||
\(332\) | 1.67565 | + | 4.84146i | 0.0919630 | + | 0.265710i | ||||
\(333\) | −11.9949 | + | 10.6375i | −0.657317 | + | 0.582931i | ||||
\(334\) | −0.0593841 | + | 1.24663i | −0.00324936 | + | 0.0682124i | ||||
\(335\) | −16.9549 | − | 14.6915i | −0.926345 | − | 0.802682i | ||||
\(336\) | 0.618033 | + | 4.54071i | 0.0337165 | + | 0.247716i | ||||
\(337\) | −24.8683 | + | 3.57553i | −1.35466 | + | 0.194771i | −0.781108 | − | 0.624395i | \(-0.785345\pi\) |
−0.573555 | + | 0.819167i | \(0.694436\pi\) | |||||||
\(338\) | 18.7776 | + | 6.49899i | 1.02137 | + | 0.353498i | ||||
\(339\) | 5.22339 | + | 4.92349i | 0.283696 | + | 0.267407i | ||||
\(340\) | −4.20628 | + | 17.3385i | −0.228118 | + | 0.940313i | ||||
\(341\) | −9.72117 | + | 0.928259i | −0.526431 | + | 0.0502681i | ||||
\(342\) | −2.50754 | + | 0.268561i | −0.135592 | + | 0.0145221i | ||||
\(343\) | −11.5616 | − | 14.4683i | −0.624266 | − | 0.781212i | ||||
\(344\) | 10.1489 | 0.547193 | ||||||||
\(345\) | −23.8127 | − | 8.98486i | −1.28203 | − | 0.483729i | ||||
\(346\) | 3.30250 | − | 5.72011i | 0.177544 | − | 0.307515i | ||||
\(347\) | 18.3132 | − | 0.872364i | 0.983102 | − | 0.0468309i | 0.450129 | − | 0.892963i | \(-0.351378\pi\) |
0.532973 | + | 0.846132i | \(0.321075\pi\) | |||||||
\(348\) | −3.99692 | + | 13.9075i | −0.214258 | + | 0.745519i | ||||
\(349\) | 7.30601 | − | 15.9979i | 0.391082 | − | 0.856349i | −0.607016 | − | 0.794690i | \(-0.707633\pi\) |
0.998097 | − | 0.0616595i | \(-0.0196393\pi\) | |||||||
\(350\) | 2.34817 | − | 11.3695i | 0.125515 | − | 0.607727i | ||||
\(351\) | −29.7865 | + | 0.513638i | −1.58989 | + | 0.0274160i | ||||
\(352\) | −0.947765 | − | 0.328025i | −0.0505160 | − | 0.0174838i | ||||
\(353\) | −2.09081 | + | 5.22258i | −0.111282 | + | 0.277970i | −0.973547 | − | 0.228489i | \(-0.926622\pi\) |
0.862264 | + | 0.506459i | \(0.169046\pi\) | |||||||
\(354\) | 12.3924 | − | 1.25524i | 0.658648 | − | 0.0667154i | ||||
\(355\) | 5.35015 | − | 27.7592i | 0.283957 | − | 1.47331i | ||||
\(356\) | 0.673916 | + | 0.433099i | 0.0357175 | + | 0.0229542i | ||||
\(357\) | 24.8466 | − | 9.73090i | 1.31502 | − | 0.515014i | ||||
\(358\) | −16.1051 | + | 18.5862i | −0.851179 | + | 0.982313i | ||||
\(359\) | −6.48243 | − | 26.7209i | −0.342130 | − | 1.41028i | −0.839793 | − | 0.542907i | \(-0.817324\pi\) |
0.497663 | − | 0.867370i | \(-0.334191\pi\) | |||||||
\(360\) | 9.11281 | + | 1.20348i | 0.480287 | + | 0.0634290i | ||||
\(361\) | 17.9628 | − | 3.46204i | 0.945409 | − | 0.182213i | ||||
\(362\) | −5.94183 | + | 8.34414i | −0.312296 | + | 0.438558i | ||||
\(363\) | 16.1071 | + | 6.34114i | 0.845403 | + | 0.332824i | ||||
\(364\) | 1.95934 | + | 15.0417i | 0.102697 | + | 0.788402i | ||||
\(365\) | 5.32444 | − | 37.0323i | 0.278694 | − | 1.93836i | ||||
\(366\) | 4.35875 | + | 9.40098i | 0.227836 | + | 0.491397i | ||||
\(367\) | 4.43669 | + | 2.56153i | 0.231593 | + | 0.133711i | 0.611307 | − | 0.791394i | \(-0.290644\pi\) |
−0.379714 | + | 0.925104i | \(0.623977\pi\) | |||||||
\(368\) | −4.72162 | − | 0.840406i | −0.246132 | − | 0.0438092i | ||||
\(369\) | 12.0750 | + | 12.3759i | 0.628602 | + | 0.644265i | ||||
\(370\) | 13.7749 | − | 8.85256i | 0.716121 | − | 0.460223i | ||||
\(371\) | 0.366954 | + | 0.832579i | 0.0190513 | + | 0.0432253i | ||||
\(372\) | 14.9454 | − | 7.81394i | 0.774883 | − | 0.405134i | ||||
\(373\) | −12.5719 | + | 13.1850i | −0.650948 | + | 0.682695i | −0.963653 | − | 0.267155i | \(-0.913916\pi\) |
0.312705 | + | 0.949850i | \(0.398765\pi\) | |||||||
\(374\) | −0.555127 | + | 5.81355i | −0.0287049 | + | 0.300612i | ||||
\(375\) | 2.89546 | + | 1.47171i | 0.149521 | + | 0.0759988i | ||||
\(376\) | −0.000853461 | 0 | 0.000671169i | −4.40139e−5 | 0 | 3.46129e-5i | ||||
\(377\) | −13.4946 | + | 45.9584i | −0.695008 | + | 2.36698i | ||||
\(378\) | −6.34807 | − | 12.1943i | −0.326510 | − | 0.627209i | ||||
\(379\) | 7.48091 | − | 11.6405i | 0.384269 | − | 0.597934i | −0.594203 | − | 0.804315i | \(-0.702532\pi\) |
0.978472 | + | 0.206381i | \(0.0661687\pi\) | |||||||
\(380\) | 2.57274 | + | 0.122555i | 0.131979 | + | 0.00628693i | ||||
\(381\) | −6.54648 | + | 19.2725i | −0.335386 | + | 0.987359i | ||||
\(382\) | 16.3141 | + | 17.1098i | 0.834703 | + | 0.875412i | ||||
\(383\) | −4.30119 | + | 3.38250i | −0.219781 | + | 0.172838i | −0.721979 | − | 0.691915i | \(-0.756767\pi\) |
0.502198 | + | 0.864753i | \(0.332525\pi\) | |||||||
\(384\) | 1.72959 | − | 0.0923564i | 0.0882626 | − | 0.00471304i | ||||
\(385\) | 0.494573 | − | 8.11518i | 0.0252058 | − | 0.413588i | ||||
\(386\) | −1.87191 | − | 6.37513i | −0.0952776 | − | 0.324486i | ||||
\(387\) | −28.6559 | + | 10.2882i | −1.45666 | + | 0.522980i | ||||
\(388\) | 0.0516244 | − | 0.0656458i | 0.00262083 | − | 0.00333266i | ||||
\(389\) | 0.346390 | + | 7.27163i | 0.0175627 | + | 0.368686i | 0.990491 | + | 0.137579i | \(0.0439319\pi\) |
−0.972928 | + | 0.231108i | \(0.925765\pi\) | |||||||
\(390\) | 30.1410 | + | 4.15695i | 1.52625 | + | 0.210495i | ||||
\(391\) | 1.72621 | + | 27.8726i | 0.0872982 | + | 1.40958i | ||||
\(392\) | −5.80777 | + | 3.90767i | −0.293337 | + | 0.197367i | ||||
\(393\) | 1.57205 | − | 17.5272i | 0.0792993 | − | 0.884132i | ||||
\(394\) | 16.8397 | − | 6.74158i | 0.848370 | − | 0.339636i | ||||
\(395\) | 21.2800 | − | 15.1534i | 1.07071 | − | 0.762452i | ||||
\(396\) | 3.00858 | − | 0.0345846i | 0.151187 | − | 0.00173794i | ||||
\(397\) | 8.37438 | − | 11.7602i | 0.420298 | − | 0.590226i | −0.549089 | − | 0.835764i | \(-0.685025\pi\) |
0.969387 | + | 0.245538i | \(0.0789645\pi\) | |||||||
\(398\) | −8.59564 | − | 9.91990i | −0.430861 | − | 0.497240i | ||||
\(399\) | −2.05824 | − | 3.25628i | −0.103041 | − | 0.163018i | ||||
\(400\) | −4.21023 | − | 1.23623i | −0.210511 | − | 0.0618117i | ||||
\(401\) | 12.9266 | + | 2.49139i | 0.645521 | + | 0.124414i | 0.501496 | − | 0.865160i | \(-0.332783\pi\) |
0.144025 | + | 0.989574i | \(0.453995\pi\) | |||||||
\(402\) | 12.4665 | + | 2.32850i | 0.621774 | + | 0.116135i | ||||
\(403\) | 49.6187 | − | 25.5802i | 2.47168 | − | 1.27424i | ||||
\(404\) | −1.48116 | + | 7.68500i | −0.0736906 | + | 0.382343i | ||||
\(405\) | −26.9504 | + | 5.83983i | −1.33917 | + | 0.290183i | ||||
\(406\) | −21.7581 | + | 3.89484i | −1.07984 | + | 0.193298i | ||||
\(407\) | 4.05061 | − | 3.50987i | 0.200781 | − | 0.173978i | ||||
\(408\) | −2.89703 | − | 9.66064i | −0.143424 | − | 0.478273i | ||||
\(409\) | −6.56675 | + | 27.0685i | −0.324705 | + | 1.33845i | 0.542314 | + | 0.840176i | \(0.317548\pi\) |
−0.867019 | + | 0.498275i | \(0.833967\pi\) | |||||||
\(410\) | −10.2435 | − | 14.3850i | −0.505891 | − | 0.710425i | ||||
\(411\) | −31.0976 | − | 8.93727i | −1.53393 | − | 0.440843i | ||||
\(412\) | −6.55867 | − | 10.2055i | −0.323123 | − | 0.502789i | ||||
\(413\) | 10.0732 | + | 16.1412i | 0.495672 | + | 0.794258i | ||||
\(414\) | 14.1836 | − | 2.41352i | 0.697087 | − | 0.118618i | ||||
\(415\) | 7.84874 | + | 13.5944i | 0.385280 | + | 0.667324i | ||||
\(416\) | 5.72678 | − | 0.272800i | 0.280779 | − | 0.0133751i | ||||
\(417\) | −0.414011 | − | 1.66476i | −0.0202742 | − | 0.0815234i | ||||
\(418\) | 0.839267 | − | 0.0801403i | 0.0410499 | − | 0.00391979i | ||||
\(419\) | −1.79952 | + | 0.528386i | −0.0879121 | + | 0.0258133i | −0.325393 | − | 0.945579i | \(-0.605497\pi\) |
0.237481 | + | 0.971392i | \(0.423678\pi\) | |||||||
\(420\) | 4.49240 | + | 13.3028i | 0.219207 | + | 0.649112i | ||||
\(421\) | −4.91477 | + | 4.25867i | −0.239531 | + | 0.207555i | −0.766351 | − | 0.642422i | \(-0.777930\pi\) |
0.526820 | + | 0.849977i | \(0.323384\pi\) | |||||||
\(422\) | 10.1656 | + | 12.9266i | 0.494855 | + | 0.629259i | ||||
\(423\) | 0.00172940 | − | 0.00276025i | 8.40861e−5 | − | 0.000134208i | ||||
\(424\) | 0.324980 | − | 0.112477i | 0.0157824 | − | 0.00546236i | ||||
\(425\) | −1.21577 | + | 25.5221i | −0.0589733 | + | 1.23800i | ||||
\(426\) | 5.31356 | + | 15.0717i | 0.257443 | + | 0.730227i | ||||
\(427\) | −9.94886 | + | 12.3112i | −0.481459 | + | 0.595783i | ||||
\(428\) | 9.40428 | + | 2.76135i | 0.454573 | + | 0.133475i | ||||
\(429\) | 9.95920 | − | 0.0572403i | 0.480835 | − | 0.00276359i | ||||
\(430\) | 30.5342 | − | 5.88498i | 1.47249 | − | 0.283799i | ||||
\(431\) | −4.19787 | − | 0.400848i | −0.202204 | − | 0.0193082i | −0.00653771 | − | 0.999979i | \(-0.502081\pi\) |
−0.195667 | + | 0.980670i | \(0.562687\pi\) | |||||||
\(432\) | −4.78993 | + | 2.01410i | −0.230455 | + | 0.0969034i | ||||
\(433\) | −27.5875 | − | 12.5988i | −1.32577 | − | 0.605459i | −0.378413 | − | 0.925637i | \(-0.623530\pi\) |
−0.947357 | + | 0.320178i | \(0.896257\pi\) | |||||||
\(434\) | 20.7845 | + | 15.2202i | 0.997690 | + | 0.730595i | ||||
\(435\) | −3.96077 | + | 44.1598i | −0.189904 | + | 2.11730i | ||||
\(436\) | 13.2652 | − | 7.65865i | 0.635286 | − | 0.366783i | ||||
\(437\) | 3.90391 | − | 1.00621i | 0.186750 | − | 0.0481334i | ||||
\(438\) | 7.97317 | + | 19.5890i | 0.380973 | + | 0.935997i | ||||
\(439\) | −19.5754 | − | 10.0918i | −0.934283 | − | 0.481656i | −0.0773040 | − | 0.997008i | \(-0.524631\pi\) |
−0.856979 | + | 0.515351i | \(0.827661\pi\) | |||||||
\(440\) | −3.04166 | − | 0.437325i | −0.145006 | − | 0.0208487i | ||||
\(441\) | 12.4371 | − | 16.9209i | 0.592245 | − | 0.805758i | ||||
\(442\) | −9.40555 | − | 32.0323i | −0.447376 | − | 1.52362i | ||||
\(443\) | 24.6247 | + | 17.5351i | 1.16995 | + | 0.833119i | 0.988640 | − | 0.150306i | \(-0.0480259\pi\) |
0.181313 | + | 0.983425i | \(0.441965\pi\) | |||||||
\(444\) | −4.19410 | + | 8.25152i | −0.199043 | + | 0.391600i | ||||
\(445\) | 2.27869 | + | 0.912249i | 0.108020 | + | 0.0432447i | ||||
\(446\) | −15.6084 | + | 3.78656i | −0.739080 | + | 0.179299i | ||||
\(447\) | 38.4413 | − | 7.63835i | 1.81821 | − | 0.361282i | ||||
\(448\) | 1.29236 | + | 2.30864i | 0.0610581 | + | 0.109073i | ||||
\(449\) | −6.80456 | + | 10.5881i | −0.321127 | + | 0.499684i | −0.963861 | − | 0.266406i | \(-0.914164\pi\) |
0.642734 | + | 0.766090i | \(0.277800\pi\) | |||||||
\(450\) | 13.1409 | − | 0.777465i | 0.619470 | − | 0.0366501i | ||||
\(451\) | −3.98896 | − | 4.18350i | −0.187833 | − | 0.196993i | ||||
\(452\) | 3.84739 | + | 1.54026i | 0.180966 | + | 0.0724479i | ||||
\(453\) | 12.0408 | − | 7.83629i | 0.565725 | − | 0.368181i | ||||
\(454\) | 4.87590 | − | 2.22675i | 0.228837 | − | 0.104506i | ||||
\(455\) | 14.6170 | + | 44.1186i | 0.685256 | + | 2.06831i | ||||
\(456\) | −1.29029 | + | 0.674608i | −0.0604236 | + | 0.0315914i | ||||
\(457\) | 2.47925 | + | 6.19287i | 0.115975 | + | 0.289690i | 0.974986 | − | 0.222266i | \(-0.0713453\pi\) |
−0.859012 | + | 0.511956i | \(0.828921\pi\) | |||||||
\(458\) | −0.565344 | − | 11.8680i | −0.0264168 | − | 0.554556i | ||||
\(459\) | 17.9731 | + | 24.3404i | 0.838913 | + | 1.13611i | ||||
\(460\) | −14.6928 | + | 0.209437i | −0.685057 | + | 0.00976504i | ||||
\(461\) | 8.52152i | 0.396887i | 0.980112 | + | 0.198443i | \(0.0635886\pi\) | ||||
−0.980112 | + | 0.198443i | \(0.936411\pi\) | |||||||
\(462\) | 2.07521 | + | 4.10079i | 0.0965477 | + | 0.190786i | ||||
\(463\) | 2.40109 | − | 16.7000i | 0.111588 | − | 0.776114i | −0.854787 | − | 0.518979i | \(-0.826312\pi\) |
0.966376 | − | 0.257135i | \(-0.0827785\pi\) | |||||||
\(464\) | 0.794146 | + | 8.31667i | 0.0368673 | + | 0.386092i | ||||
\(465\) | 40.4339 | − | 32.1754i | 1.87508 | − | 1.49210i | ||||
\(466\) | 0.356325 | + | 0.0340249i | 0.0165064 | + | 0.00157617i | ||||
\(467\) | −2.28067 | + | 6.58955i | −0.105537 | + | 0.304928i | −0.985389 | − | 0.170319i | \(-0.945520\pi\) |
0.879852 | + | 0.475247i | \(0.157641\pi\) | |||||||
\(468\) | −15.8932 | + | 6.57565i | −0.734665 | + | 0.303960i | ||||
\(469\) | 5.21068 | + | 18.6583i | 0.240607 | + | 0.861562i | ||||
\(470\) | −0.00217854 | + | 0.00251417i | −0.000100489 | + | 0.000115970i | ||||
\(471\) | −3.81637 | − | 3.26869i | −0.175849 | − | 0.150613i | ||||
\(472\) | 6.39193 | − | 3.29527i | 0.294213 | − | 0.151677i | ||||
\(473\) | 9.61879 | − | 3.32910i | 0.442273 | − | 0.153072i | ||||
\(474\) | −6.05745 | + | 13.4683i | −0.278228 | + | 0.618619i | ||||
\(475\) | 3.65110 | − | 0.524949i | 0.167524 | − | 0.0240863i | ||||
\(476\) | 11.2900 | − | 10.4826i | 0.517477 | − | 0.480467i | ||||
\(477\) | −0.803573 | + | 0.647023i | −0.0367931 | + | 0.0296252i | ||||
\(478\) | −6.80014 | − | 6.48393i | −0.311031 | − | 0.296568i | ||||
\(479\) | 9.87715 | + | 13.8705i | 0.451298 | + | 0.633760i | 0.976063 | − | 0.217487i | \(-0.0697861\pi\) |
−0.524765 | + | 0.851247i | \(0.675847\pi\) | |||||||
\(480\) | 5.15010 | − | 1.28079i | 0.235069 | − | 0.0584596i | ||||
\(481\) | −14.0397 | + | 27.2332i | −0.640155 | + | 1.24173i | ||||
\(482\) | 14.0006 | 0.637712 | ||||||||
\(483\) | 12.8683 | + | 17.8159i | 0.585527 | + | 0.810653i | ||||
\(484\) | 9.99414 | 0.454279 | ||||||||
\(485\) | 0.117252 | − | 0.227438i | 0.00532415 | − | 0.0103274i | ||||
\(486\) | 11.4828 | − | 10.5426i | 0.520870 | − | 0.478220i | ||||
\(487\) | 0.294521 | + | 0.413596i | 0.0133460 | + | 0.0187418i | 0.821195 | − | 0.570648i | \(-0.193308\pi\) |
−0.807849 | + | 0.589389i | \(0.799368\pi\) | |||||||
\(488\) | 4.32986 | + | 4.12852i | 0.196004 | + | 0.186889i | ||||
\(489\) | 6.24503 | − | 26.4038i | 0.282410 | − | 1.19402i | ||||
\(490\) | −15.2074 | + | 15.1243i | −0.687000 | + | 0.683248i | ||||
\(491\) | −19.6228 | + | 2.82134i | −0.885566 | + | 0.127325i | −0.570065 | − | 0.821600i | \(-0.693082\pi\) |
−0.315502 | + | 0.948925i | \(0.602173\pi\) | |||||||
\(492\) | 9.10438 | + | 4.09476i | 0.410457 | + | 0.184606i | ||||
\(493\) | 45.9724 | − | 15.9112i | 2.07049 | − | 0.716604i | ||||
\(494\) | −4.28378 | + | 2.20844i | −0.192736 | + | 0.0993625i | ||||
\(495\) | 9.03157 | − | 1.84861i | 0.405939 | − | 0.0830888i | ||||
\(496\) | 6.37632 | − | 7.35867i | 0.286305 | − | 0.330414i | ||||
\(497\) | −17.0786 | + | 17.4422i | −0.766082 | + | 0.782390i | ||||
\(498\) | −7.71022 | − | 4.39261i | −0.345503 | − | 0.196838i | ||||
\(499\) | −11.2846 | + | 32.6047i | −0.505167 | + | 1.45959i | 0.347774 | + | 0.937578i | \(0.386938\pi\) |
−0.852941 | + | 0.522007i | \(0.825184\pi\) | |||||||
\(500\) | 1.86675 | + | 0.178253i | 0.0834837 | + | 0.00797173i | ||||
\(501\) | −1.34600 | − | 1.69148i | −0.0601348 | − | 0.0755697i | ||||
\(502\) | 0.991276 | + | 10.3811i | 0.0442428 | + | 0.463332i | ||||
\(503\) | 1.14611 | − | 7.97140i | 0.0511027 | − | 0.355427i | −0.948186 | − | 0.317716i | \(-0.897084\pi\) |
0.999289 | − | 0.0377114i | \(-0.0120067\pi\) | |||||||
\(504\) | −5.98934 | − | 5.20843i | −0.266787 | − | 0.232002i | ||||
\(505\) | 23.9800i | 1.06710i | ||||||||
\(506\) | −4.75066 | + | 0.752301i | −0.211193 | + | 0.0334439i | ||||
\(507\) | −31.8773 | + | 12.9748i | −1.41572 | + | 0.576231i | ||||
\(508\) | 0.559153 | + | 11.7381i | 0.0248084 | + | 0.520793i | ||||
\(509\) | 5.13854 | + | 12.8354i | 0.227762 | + | 0.568921i | 0.997594 | − | 0.0693249i | \(-0.0220845\pi\) |
−0.769833 | + | 0.638246i | \(0.779660\pi\) | |||||||
\(510\) | −14.3179 | − | 27.3852i | −0.634006 | − | 1.21264i | ||||
\(511\) | −21.4782 | + | 24.1326i | −0.950141 | + | 1.06756i | ||||
\(512\) | 0.909632 | − | 0.415415i | 0.0402004 | − | 0.0183589i | ||||
\(513\) | 2.95933 | − | 3.21279i | 0.130657 | − | 0.141848i | ||||
\(514\) | −11.7821 | − | 4.71683i | −0.519685 | − | 0.208050i | ||||
\(515\) | −25.6503 | − | 26.9012i | −1.13029 | − | 1.18541i | ||||
\(516\) | −13.2185 | + | 11.5876i | −0.581913 | + | 0.510116i | ||||
\(517\) | −0.000588720 | 0 | 0.000916066i | −2.58919e−5 | 0 | 4.02885e-5i | ||||
\(518\) | −14.1379 | − | 0.187608i | −0.621184 | − | 0.00824300i | ||||
\(519\) | 2.22960 | + | 11.2208i | 0.0978687 | + | 0.492540i | ||||
\(520\) | 17.0715 | − | 4.14149i | 0.748633 | − | 0.181616i | ||||
\(521\) | 3.50351 | + | 1.40259i | 0.153491 | + | 0.0614487i | 0.447136 | − | 0.894466i | \(-0.352444\pi\) |
−0.293645 | + | 0.955915i | \(0.594868\pi\) | |||||||
\(522\) | −10.6731 | − | 22.6774i | −0.467150 | − | 0.992562i | ||||
\(523\) | 1.23139 | + | 0.876870i | 0.0538450 | + | 0.0383429i | 0.606663 | − | 0.794959i | \(-0.292508\pi\) |
−0.552818 | + | 0.833302i | \(0.686447\pi\) | |||||||
\(524\) | −2.86239 | − | 9.74842i | −0.125044 | − | 0.425862i | ||||
\(525\) | 9.92284 | + | 17.4894i | 0.433068 | + | 0.763298i | ||||
\(526\) | −3.95645 | − | 0.568852i | −0.172509 | − | 0.0248031i | ||||
\(527\) | −50.3949 | − | 25.9804i | −2.19524 | − | 1.13172i | ||||
\(528\) | 1.60895 | − | 0.654879i | 0.0700204 | − | 0.0285000i | ||||
\(529\) | −21.8747 | + | 7.10623i | −0.951073 | + | 0.308966i | ||||
\(530\) | 0.912518 | − | 0.526842i | 0.0396372 | − | 0.0228846i | ||||
\(531\) | −14.7074 | + | 15.7840i | −0.638245 | + | 0.684967i | ||||
\(532\) | −1.79441 | − | 1.31402i | −0.0777976 | − | 0.0569701i | ||||
\(533\) | 30.0581 | + | 13.7271i | 1.30196 | + | 0.594585i | ||||
\(534\) | −1.37224 | + | 0.205355i | −0.0593826 | + | 0.00888658i | ||||
\(535\) | 29.8950 | + | 2.85463i | 1.29247 | + | 0.123416i | ||||
\(536\) | 7.18971 | − | 1.38570i | 0.310548 | − | 0.0598532i | ||||
\(537\) | −0.244819 | − | 42.5958i | −0.0105647 | − | 1.83815i | ||||
\(538\) | 10.2310 | + | 3.00409i | 0.441090 | + | 0.129516i | ||||
\(539\) | −4.22259 | + | 5.60864i | −0.181880 | + | 0.241581i | ||||
\(540\) | −13.2431 | + | 8.83713i | −0.569893 | + | 0.380290i | ||||
\(541\) | 1.62252 | − | 34.0609i | 0.0697576 | − | 1.46439i | −0.644551 | − | 0.764561i | \(-0.722956\pi\) |
0.714309 | − | 0.699831i | \(-0.246741\pi\) | |||||||
\(542\) | −25.3225 | + | 8.76419i | −1.08769 | + | 0.376454i | ||||
\(543\) | −1.78800 | − | 17.6520i | −0.0767303 | − | 0.757520i | ||||
\(544\) | −3.59952 | − | 4.57716i | −0.154328 | − | 0.196244i | ||||
\(545\) | 35.4688 | − | 30.7338i | 1.51931 | − | 1.31649i | ||||
\(546\) | −19.7260 | − | 17.3541i | −0.844193 | − | 0.742688i | ||||
\(547\) | 8.86201 | − | 2.60212i | 0.378912 | − | 0.111259i | −0.0867298 | − | 0.996232i | \(-0.527642\pi\) |
0.465642 | + | 0.884973i | \(0.345824\pi\) | |||||||
\(548\) | −18.5964 | + | 1.77574i | −0.794398 | + | 0.0758558i | ||||
\(549\) | −16.4107 | − | 7.26772i | −0.700392 | − | 0.310179i | ||||
\(550\) | −4.39582 | + | 0.209399i | −0.187438 | + | 0.00892879i | ||||
\(551\) | −3.51151 | − | 6.08211i | −0.149595 | − | 0.259106i | ||||
\(552\) | 7.10924 | − | 4.29635i | 0.302590 | − | 0.182865i | ||||
\(553\) | −22.5449 | + | 0.774288i | −0.958705 | + | 0.0329261i | ||||
\(554\) | 3.38453 | + | 5.26643i | 0.143795 | + | 0.223749i | ||||
\(555\) | −7.83367 | + | 27.2576i | −0.332521 | + | 1.15702i | ||||
\(556\) | −0.574502 | − | 0.806775i | −0.0243643 | − | 0.0342149i | ||||
\(557\) | 4.39492 | − | 18.1161i | 0.186219 | − | 0.767604i | −0.799703 | − | 0.600396i | \(-0.795010\pi\) |
0.985922 | − | 0.167208i | \(-0.0534751\pi\) | |||||||
\(558\) | −10.5441 | + | 27.2413i | −0.446368 | + | 1.15322i | ||||
\(559\) | −43.9745 | + | 38.1041i | −1.85992 | + | 1.61163i | ||||
\(560\) | 5.22689 | + | 6.19640i | 0.220876 | + | 0.261846i | ||||
\(561\) | −5.91463 | − | 8.20571i | −0.249716 | − | 0.346445i | ||||
\(562\) | 5.67958 | − | 29.4685i | 0.239579 | − | 1.24305i | ||||
\(563\) | 15.8670 | − | 8.18002i | 0.668716 | − | 0.344747i | −0.0902113 | − | 0.995923i | \(-0.528754\pi\) |
0.758927 | + | 0.651176i | \(0.225724\pi\) | |||||||
\(564\) | 0.000345283 | − | 0.00184861i | 1.45391e−5 | − | 7.78406e-5i | ||||
\(565\) | 12.4684 | + | 2.40310i | 0.524551 | + | 0.101099i | ||||
\(566\) | 21.3162 | + | 6.25900i | 0.895986 | + | 0.263085i | ||||
\(567\) | 22.1911 | + | 8.63464i | 0.931937 | + | 0.362621i | ||||
\(568\) | 6.04214 | + | 6.97300i | 0.253522 | + | 0.292580i | ||||
\(569\) | −16.5256 | + | 23.2069i | −0.692788 | + | 0.972884i | 0.306988 | + | 0.951713i | \(0.400679\pi\) |
−0.999776 | + | 0.0211708i | \(0.993261\pi\) | |||||||
\(570\) | −3.49081 | + | 2.77783i | −0.146214 | + | 0.116350i | ||||
\(571\) | 17.5617 | − | 12.5057i | 0.734936 | − | 0.523346i | −0.150213 | − | 0.988654i | \(-0.547996\pi\) |
0.885149 | + | 0.465308i | \(0.154056\pi\) | |||||||
\(572\) | 5.33816 | − | 2.13708i | 0.223200 | − | 0.0893556i | ||||
\(573\) | −40.7836 | − | 3.65795i | −1.70376 | − | 0.152813i | ||||
\(574\) | 0.523409 | + | 15.2400i | 0.0218467 | + | 0.636106i | ||||
\(575\) | −20.6048 | + | 4.27671i | −0.859280 | + | 0.178351i | ||||
\(576\) | −2.14726 | + | 2.09506i | −0.0894693 | + | 0.0872941i | ||||
\(577\) | −1.06077 | − | 22.2683i | −0.0441603 | − | 0.927039i | −0.906888 | − | 0.421371i | \(-0.861549\pi\) |
0.862728 | − | 0.505668i | \(-0.168754\pi\) | |||||||
\(578\) | −10.4512 | + | 13.2897i | −0.434711 | + | 0.552780i | ||||
\(579\) | 9.71693 | + | 6.16607i | 0.403822 | + | 0.256253i | ||||
\(580\) | 7.21180 | + | 24.5611i | 0.299454 | + | 1.01985i | ||||
\(581\) | 0.824557 | − | 13.5297i | 0.0342084 | − | 0.561306i | ||||
\(582\) | 0.00771298 | + | 0.144443i | 0.000319713 | + | 0.00598737i | ||||
\(583\) | 0.271110 | − | 0.213203i | 0.0112282 | − | 0.00882997i | ||||
\(584\) | 8.42630 | + | 8.83725i | 0.348683 | + | 0.365688i | ||||
\(585\) | −44.0036 | + | 28.9994i | −1.81932 | + | 1.19898i | ||||
\(586\) | 22.9838 | + | 1.09485i | 0.949452 | + | 0.0452280i | ||||
\(587\) | −10.1748 | + | 15.8323i | −0.419959 | + | 0.653469i | −0.985191 | − | 0.171463i | \(-0.945150\pi\) |
0.565231 | + | 0.824932i | \(0.308787\pi\) | |||||||
\(588\) | 3.10276 | − | 11.7206i | 0.127956 | − | 0.483350i | ||||
\(589\) | −2.30601 | + | 7.85355i | −0.0950175 | + | 0.323600i | ||||
\(590\) | 17.3200 | − | 13.6206i | 0.713054 | − | 0.560752i | ||||
\(591\) | −14.2357 | + | 28.0074i | −0.585577 | + | 1.15207i | ||||
\(592\) | −0.507989 | + | 5.31990i | −0.0208782 | + | 0.218646i | ||||
\(593\) | −3.88488 | + | 4.07435i | −0.159533 | + | 0.167313i | −0.798649 | − | 0.601797i | \(-0.794452\pi\) |
0.639116 | + | 0.769110i | \(0.279300\pi\) | |||||||
\(594\) | −3.87905 | + | 3.48011i | −0.159159 | + | 0.142790i | ||||
\(595\) | 27.8888 | − | 38.0846i | 1.14333 | − | 1.56132i | ||||
\(596\) | 19.0359 | − | 12.2336i | 0.779740 | − | 0.501108i | ||||
\(597\) | 22.5216 | + | 3.10610i | 0.921746 | + | 0.127124i | ||||
\(598\) | 23.6137 | − | 14.0859i | 0.965637 | − | 0.576016i | ||||
\(599\) | 19.2971 | + | 11.1412i | 0.788459 | + | 0.455217i | 0.839420 | − | 0.543483i | \(-0.182895\pi\) |
−0.0509606 | + | 0.998701i | \(0.516228\pi\) | |||||||
\(600\) | 6.89512 | − | 3.19691i | 0.281492 | − | 0.130513i | ||||
\(601\) | −1.73102 | + | 12.0395i | −0.0706099 | + | 0.491103i | 0.923575 | + | 0.383418i | \(0.125253\pi\) |
−0.994185 | + | 0.107685i | \(0.965656\pi\) | |||||||
\(602\) | −24.7935 | − | 10.3096i | −1.01051 | − | 0.420188i | ||||
\(603\) | −18.8957 | + | 11.2010i | −0.769492 | + | 0.456139i | ||||
\(604\) | 4.81118 | − | 6.75636i | 0.195764 | − | 0.274912i | ||||
\(605\) | 30.0685 | − | 5.79522i | 1.22246 | − | 0.235609i | ||||
\(606\) | −6.84525 | − | 11.7005i | −0.278069 | − | 0.475301i | ||||
\(607\) | 2.03258 | + | 8.37840i | 0.0824998 | + | 0.340069i | 0.998071 | − | 0.0620879i | \(-0.0197759\pi\) |
−0.915571 | + | 0.402157i | \(0.868261\pi\) | |||||||
\(608\) | −0.550493 | + | 0.635303i | −0.0223254 | + | 0.0257649i | ||||
\(609\) | 23.8920 | − | 29.9153i | 0.968152 | − | 1.21223i | ||||
\(610\) | 15.4208 | + | 9.91037i | 0.624371 | + | 0.401259i | ||||
\(611\) | 0.00117808 | − | 0.00611244i | 4.76598e−5 | − | 0.000247283i | ||||
\(612\) | 14.8034 | + | 9.27485i | 0.598390 | + | 0.374914i | ||||
\(613\) | −7.44523 | + | 18.5973i | −0.300710 | + | 0.751137i | 0.698653 | + | 0.715460i | \(0.253783\pi\) |
−0.999363 | + | 0.0356770i | \(0.988641\pi\) | |||||||
\(614\) | −21.8562 | − | 7.56449i | −0.882043 | − | 0.305278i | ||||
\(615\) | 29.7659 | + | 7.04024i | 1.20028 | + | 0.283890i | ||||
\(616\) | 1.98214 | + | 1.76412i | 0.0798627 | + | 0.0710785i | ||||
\(617\) | 9.04520 | − | 19.8062i | 0.364146 | − | 0.797368i | −0.635534 | − | 0.772073i | \(-0.719220\pi\) |
0.999680 | − | 0.0252956i | \(-0.00805270\pi\) | |||||||
\(618\) | 20.1946 | + | 5.80380i | 0.812345 | + | 0.233463i | ||||
\(619\) | 5.10602 | − | 0.243230i | 0.205228 | − | 0.00977623i | 0.0552840 | − | 0.998471i | \(-0.482394\pi\) |
0.149944 | + | 0.988694i | \(0.452091\pi\) | |||||||
\(620\) | 14.9169 | − | 25.8367i | 0.599075 | − | 1.03763i | ||||
\(621\) | −15.7179 | + | 19.3377i | −0.630737 | + | 0.775997i | ||||
\(622\) | 1.85786 | 0.0744934 | ||||||||
\(623\) | −1.20640 | − | 1.74263i | −0.0483333 | − | 0.0698171i | ||||
\(624\) | −7.14741 | + | 6.89390i | −0.286125 | + | 0.275977i | ||||
\(625\) | 27.5602 | − | 2.63168i | 1.10241 | − | 0.105267i | ||||
\(626\) | −0.794527 | + | 3.27508i | −0.0317557 | + | 0.130899i | ||||
\(627\) | −1.00161 | + | 1.06262i | −0.0400004 | + | 0.0424369i | ||||
\(628\) | −2.74154 | − | 0.948855i | −0.109399 | − | 0.0378635i | ||||
\(629\) | 30.8017 | − | 4.42862i | 1.22815 | − | 0.176581i | ||||
\(630\) | −21.0398 | − | 12.1971i | −0.838245 | − | 0.485946i | ||||
\(631\) | 26.0487 | + | 22.5713i | 1.03698 | + | 0.898551i | 0.994931 | − | 0.100564i | \(-0.0320648\pi\) |
0.0420527 | + | 0.999115i | \(0.486610\pi\) | |||||||
\(632\) | −0.405692 | + | 8.51652i | −0.0161376 | + | 0.338769i | ||||
\(633\) | −27.9994 | − | 5.22971i | −1.11287 | − | 0.207862i | ||||
\(634\) | −3.46311 | − | 10.0060i | −0.137538 | − | 0.397389i | ||||
\(635\) | 8.48873 | + | 34.9910i | 0.336865 | + | 1.38858i | ||||
\(636\) | −0.294852 | + | 0.517545i | −0.0116916 | + | 0.0205220i | ||||
\(637\) | 10.4933 | − | 38.7368i | 0.415759 | − | 1.53481i | ||||
\(638\) | 3.48074 | + | 7.62175i | 0.137804 | + | 0.301748i | ||||
\(639\) | −24.1289 | − | 13.5634i | −0.954525 | − | 0.536561i | ||||
\(640\) | 2.49584 | − | 1.77728i | 0.0986569 | − | 0.0702533i | ||||
\(641\) | −7.21279 | − | 5.67220i | −0.284888 | − | 0.224038i | 0.465481 | − | 0.885058i | \(-0.345882\pi\) |
−0.750368 | + | 0.661020i | \(0.770124\pi\) | |||||||
\(642\) | −15.4014 | + | 7.14087i | −0.607846 | + | 0.281827i | ||||
\(643\) | − | 31.7017i | − | 1.25019i | −0.780548 | − | 0.625096i | \(-0.785060\pi\) | ||
0.780548 | − | 0.625096i | \(-0.214940\pi\) | |||||||
\(644\) | 10.6811 | + | 6.84945i | 0.420893 | + | 0.269906i | ||||
\(645\) | −33.0502 | + | 42.5275i | −1.30135 | + | 1.67452i | ||||
\(646\) | 4.35079 | + | 2.24299i | 0.171180 | + | 0.0882492i | ||||
\(647\) | −0.763667 | + | 0.971082i | −0.0300229 | + | 0.0381772i | −0.800833 | − | 0.598888i | \(-0.795609\pi\) |
0.770810 | + | 0.637065i | \(0.219852\pi\) | |||||||
\(648\) | 3.93906 | − | 8.09221i | 0.154741 | − | 0.317892i | ||||
\(649\) | 4.97712 | − | 5.21985i | 0.195369 | − | 0.204897i | ||||
\(650\) | 22.8840 | − | 10.4508i | 0.897585 | − | 0.409913i | ||||
\(651\) | −44.4487 | + | 3.90720i | −1.74208 | + | 0.153135i | ||||
\(652\) | −2.22934 | − | 15.5054i | −0.0873076 | − | 0.607237i | ||||
\(653\) | 5.61996 | − | 1.36339i | 0.219926 | − | 0.0533535i | −0.124282 | − | 0.992247i | \(-0.539663\pi\) |
0.344208 | + | 0.938893i | \(0.388147\pi\) | |||||||
\(654\) | −8.53299 | + | 25.1206i | −0.333666 | + | 0.982295i | ||||
\(655\) | −14.2646 | − | 27.6694i | −0.557363 | − | 1.08113i | ||||
\(656\) | 5.75706 | + | 0.274242i | 0.224775 | + | 0.0107074i | ||||
\(657\) | −32.7505 | − | 16.4103i | −1.27772 | − | 0.640228i | ||||
\(658\) | 0.00276677 | 0.000772672i | 0.000107860 | 3.01219e-5i | ||||||
\(659\) | −5.28744 | − | 36.7750i | −0.205970 | − | 1.43255i | −0.786137 | − | 0.618052i | \(-0.787922\pi\) |
0.580167 | − | 0.814497i | \(-0.302987\pi\) | |||||||
\(660\) | 4.46095 | − | 2.90324i | 0.173642 | − | 0.113009i | ||||
\(661\) | 2.75488 | − | 28.8504i | 0.107152 | − | 1.12215i | −0.768713 | − | 0.639594i | \(-0.779103\pi\) |
0.875865 | − | 0.482556i | \(-0.160291\pi\) | |||||||
\(662\) | −11.1349 | − | 2.70130i | −0.432771 | − | 0.104989i | ||||
\(663\) | 48.8235 | + | 30.9819i | 1.89615 | + | 1.20324i | ||||
\(664\) | −5.07109 | − | 0.729112i | −0.196796 | − | 0.0282950i | ||||
\(665\) | −6.16063 | − | 2.91287i | −0.238899 | − | 0.112956i | ||||
\(666\) | −3.95860 | − | 15.5359i | −0.153392 | − | 0.602004i | ||||
\(667\) | 22.1400 | + | 33.3942i | 0.857262 | + | 1.29303i | ||||
\(668\) | −1.08083 | − | 0.624020i | −0.0418187 | − | 0.0241441i | ||||
\(669\) | 16.0060 | − | 22.7529i | 0.618826 | − | 0.879676i | ||||
\(670\) | 20.8275 | − | 8.33808i | 0.804637 | − | 0.322128i | ||||
\(671\) | 5.45795 | + | 2.49256i | 0.210702 | + | 0.0962242i | ||||
\(672\) | −4.31914 | − | 1.53134i | −0.166615 | − | 0.0590729i | ||||
\(673\) | −19.2359 | − | 42.1208i | −0.741491 | − | 1.62364i | −0.781087 | − | 0.624422i | \(-0.785334\pi\) |
0.0395964 | − | 0.999216i | \(-0.487393\pi\) | |||||||
\(674\) | 8.21727 | − | 23.7422i | 0.316517 | − | 0.914517i | ||||
\(675\) | −16.2278 | + | 16.0164i | −0.624609 | + | 0.616470i | ||||
\(676\) | −14.3809 | + | 13.7122i | −0.553112 | + | 0.527392i | ||||
\(677\) | 30.2886 | + | 5.83764i | 1.16408 | + | 0.224359i | 0.734462 | − | 0.678650i | \(-0.237435\pi\) |
0.429622 | + | 0.903009i | \(0.358647\pi\) | |||||||
\(678\) | −6.76967 | + | 2.38666i | −0.259988 | + | 0.0916592i | ||||
\(679\) | −0.192802 | + | 0.107929i | −0.00739906 | + | 0.00414193i | ||||
\(680\) | −13.4837 | − | 11.6837i | −0.517075 | − | 0.448048i | ||||
\(681\) | −3.80824 | + | 8.46733i | −0.145932 | + | 0.324469i | ||||
\(682\) | 3.62943 | − | 9.06588i | 0.138978 | − | 0.347150i | ||||
\(683\) | −4.06779 | − | 21.1057i | −0.155650 | − | 0.807586i | −0.972886 | − | 0.231284i | \(-0.925707\pi\) |
0.817237 | − | 0.576302i | \(-0.195505\pi\) | |||||||
\(684\) | 0.910314 | − | 2.35185i | 0.0348067 | − | 0.0899252i | ||||
\(685\) | −54.9196 | + | 16.1258i | −2.09837 | + | 0.616137i | ||||
\(686\) | 18.1577 | − | 3.64659i | 0.693265 | − | 0.139227i | ||||
\(687\) | 14.2867 | + | 14.8121i | 0.545073 | + | 0.565117i | ||||
\(688\) | −4.65051 | + | 9.02073i | −0.177299 | + | 0.343912i | ||||
\(689\) | −0.985820 | + | 1.70749i | −0.0375568 | + | 0.0650502i | ||||
\(690\) | 18.8976 | − | 17.0484i | 0.719421 | − | 0.649023i | ||||
\(691\) | −10.0227 | − | 17.3598i | −0.381281 | − | 0.660399i | 0.609964 | − | 0.792429i | \(-0.291184\pi\) |
−0.991246 | + | 0.132030i | \(0.957850\pi\) | |||||||
\(692\) | 3.57094 | + | 5.55649i | 0.135747 | + | 0.211226i | ||||
\(693\) | −7.38498 | − | 2.97171i | −0.280532 | − | 0.112886i | ||||
\(694\) | −7.61619 | + | 16.6771i | −0.289107 | + | 0.633055i | ||||
\(695\) | −2.19627 | − | 2.09414i | −0.0833093 | − | 0.0794352i | ||||
\(696\) | −10.5300 | − | 9.92538i | −0.399137 | − | 0.376221i | ||||
\(697\) | −6.35149 | − | 32.9547i | −0.240580 | − | 1.24825i | ||||
\(698\) | 10.8717 | + | 13.8245i | 0.411501 | + | 0.523266i | ||||
\(699\) | −0.502946 | + | 0.362521i | −0.0190232 | + | 0.0137118i | ||||
\(700\) | 9.02964 | + | 7.29696i | 0.341288 | + | 0.275799i | ||||
\(701\) | −34.5446 | − | 22.2005i | −1.30473 | − | 0.838501i | −0.311013 | − | 0.950406i | \(-0.600668\pi\) |
−0.993719 | + | 0.111905i | \(0.964305\pi\) | |||||||
\(702\) | 13.1924 | − | 26.7107i | 0.497917 | − | 1.00813i | ||||
\(703\) | −1.46932 | − | 4.24531i | −0.0554163 | − | 0.160115i | ||||
\(704\) | 0.725851 | − | 0.692097i | 0.0273565 | − | 0.0260844i | ||||
\(705\) | −3.31168e−5 | − | 0.00576197i | −1.24725e−6 | − | 0.000217008i | ||||
\(706\) | −3.68395 | − | 4.25151i | −0.138647 | − | 0.160008i | ||||
\(707\) | 11.4251 | − | 17.2696i | 0.429685 | − | 0.649490i | ||||
\(708\) | −4.56282 | + | 11.5900i | −0.171481 | + | 0.435578i | ||||
\(709\) | 0.190206 | + | 1.99193i | 0.00714335 | + | 0.0748085i | 0.998341 | − | 0.0575847i | \(-0.0183399\pi\) |
−0.991197 | + | 0.132393i | \(0.957734\pi\) | |||||||
\(710\) | 22.2218 | + | 17.4754i | 0.833969 | + | 0.655841i | ||||
\(711\) | −7.48794 | − | 24.4580i | −0.280820 | − | 0.917246i | ||||
\(712\) | −0.693760 | + | 0.400543i | −0.0259998 | + | 0.0150110i | ||||
\(713\) | 10.3612 | − | 45.5326i | 0.388031 | − | 1.70521i | ||||
\(714\) | −2.73622 | + | 26.5435i | −0.102400 | + | 0.993366i | ||||
\(715\) | 14.8212 | − | 9.52502i | 0.554282 | − | 0.356216i | ||||
\(716\) | −9.14034 | − | 22.8315i | −0.341591 | − | 0.853252i | ||||
\(717\) | 16.2600 | + | 0.680917i | 0.607239 | + | 0.0254293i | ||||
\(718\) | 26.7209 | + | 6.48243i | 0.997216 | + | 0.241922i | ||||
\(719\) | 21.5460 | + | 15.3428i | 0.803530 | + | 0.572191i | 0.906359 | − | 0.422508i | \(-0.138850\pi\) |
−0.102829 | + | 0.994699i | \(0.532790\pi\) | |||||||
\(720\) | −5.24543 | + | 7.54833i | −0.195486 | + | 0.281309i | ||||
\(721\) | 5.65557 | + | 31.5942i | 0.210624 | + | 1.17663i | ||||
\(722\) | −5.15383 | + | 17.5523i | −0.191806 | + | 0.653230i | ||||
\(723\) | −18.2352 | + | 15.9853i | −0.678175 | + | 0.594501i | ||||
\(724\) | −4.69386 | − | 9.10482i | −0.174446 | − | 0.338378i | ||||
\(725\) | 16.7983 | + | 32.5841i | 0.623872 | + | 1.21014i | ||||
\(726\) | −13.0169 | + | 11.4109i | −0.483104 | + | 0.423497i | ||||
\(727\) | −7.59901 | + | 25.8799i | −0.281832 | + | 0.959831i | 0.689932 | + | 0.723874i | \(0.257640\pi\) |
−0.971764 | + | 0.235957i | \(0.924178\pi\) | |||||||
\(728\) | −14.2675 | − | 5.15100i | −0.528787 | − | 0.190909i | ||||
\(729\) | −2.91879 | + | 26.8418i | −0.108104 | + | 0.994140i | ||||
\(730\) | 30.4758 | + | 21.7017i | 1.12796 | + | 0.803218i | ||||
\(731\) | 57.4310 | + | 13.9326i | 2.12416 | + | 0.515316i | ||||
\(732\) | −10.3532 | − | 0.433561i | −0.382666 | − | 0.0160249i | ||||
\(733\) | 7.85079 | + | 19.6103i | 0.289975 | + | 0.724324i | 0.999801 | + | 0.0199461i | \(0.00634948\pi\) |
−0.709826 | + | 0.704377i | \(0.751226\pi\) | |||||||
\(734\) | −4.30978 | + | 2.76973i | −0.159077 | + | 0.102233i | ||||
\(735\) | 2.53865 | − | 37.0619i | 0.0936394 | − | 1.36705i | ||||
\(736\) | 2.91055 | − | 3.81165i | 0.107284 | − | 0.140499i | ||||
\(737\) | 6.35961 | − | 3.67172i | 0.234259 | − | 0.135250i | ||||
\(738\) | −16.5333 | + | 5.06175i | −0.608598 | + | 0.186325i | ||||
\(739\) | −29.1168 | − | 22.8977i | −1.07108 | − | 0.842305i | −0.0830451 | − | 0.996546i | \(-0.526465\pi\) |
−0.988033 | + | 0.154240i | \(0.950707\pi\) | |||||||
\(740\) | 1.55647 | + | 16.3001i | 0.0572169 | + | 0.599202i | ||||
\(741\) | 3.05793 | − | 7.76743i | 0.112336 | − | 0.285344i | ||||
\(742\) | −0.908174 | − | 0.0553479i | −0.0333401 | − | 0.00203189i | ||||
\(743\) | −1.67654 | − | 1.93483i | −0.0615063 | − | 0.0709820i | 0.724163 | − | 0.689629i | \(-0.242226\pi\) |
−0.785669 | + | 0.618647i | \(0.787681\pi\) | |||||||
\(744\) | 0.0969287 | + | 16.8646i | 0.00355358 | + | 0.618284i | ||||
\(745\) | 50.1777 | − | 47.8443i | 1.83837 | − | 1.75288i | ||||
\(746\) | −5.95854 | − | 17.2161i | −0.218158 | − | 0.630325i | ||||
\(747\) | 15.0575 | − | 3.08202i | 0.550926 | − | 0.112765i | ||||
\(748\) | −4.91292 | − | 3.15734i | −0.179634 | − | 0.115444i | ||||
\(749\) | −20.1693 | − | 16.2990i | −0.736969 | − | 0.595554i | ||||
\(750\) | −2.63488 | + | 1.89921i | −0.0962124 | + | 0.0693493i | ||||
\(751\) | −26.0349 | − | 33.1061i | −0.950028 | − | 1.20806i | −0.978033 | − | 0.208451i | \(-0.933158\pi\) |
0.0280049 | − | 0.999608i | \(-0.491085\pi\) | |||||||
\(752\) | −0.000205480 | − | 0.00106613i | −7.49310e−6 | − | 3.88779e-5i | ||||
\(753\) | −13.1438 | − | 12.3891i | −0.478987 | − | 0.451486i | ||||
\(754\) | −34.6659 | − | 33.0539i | −1.26246 | − | 1.20375i | ||||
\(755\) | 10.5572 | − | 23.1171i | 0.384216 | − | 0.841317i | ||||
\(756\) | 13.7476 | − | 0.0546224i | 0.499996 | − | 0.00198660i | ||||
\(757\) | 26.7021 | + | 41.5493i | 0.970505 | + | 1.51014i | 0.856171 | + | 0.516693i | \(0.172837\pi\) |
0.114334 | + | 0.993442i | \(0.463526\pi\) | |||||||
\(758\) | 6.91856 | + | 11.9833i | 0.251293 | + | 0.435253i | ||||
\(759\) | 5.32858 | − | 6.40394i | 0.193415 | − | 0.232448i | ||||
\(760\) | −1.28783 | + | 2.23059i | −0.0467145 | + | 0.0809119i | ||||
\(761\) | 20.8413 | − | 40.4265i | 0.755497 | − | 1.46546i | −0.125376 | − | 0.992109i | \(-0.540014\pi\) |
0.880874 | − | 0.473351i | \(-0.156956\pi\) | |||||||
\(762\) | −14.1303 | − | 14.6499i | −0.511886 | − | 0.530710i | ||||
\(763\) | −40.1863 | + | 5.23466i | −1.45484 | + | 0.189507i | ||||
\(764\) | −22.6833 | + | 6.66043i | −0.820654 | + | 0.240966i | ||||
\(765\) | 49.9157 | + | 19.3205i | 1.80470 | + | 0.698534i | ||||
\(766\) | −1.03556 | − | 5.37300i | −0.0374164 | − | 0.194135i | ||||
\(767\) | −15.3237 | + | 38.2766i | −0.553305 | + | 1.38209i | ||||
\(768\) | −0.710453 | + | 1.57964i | −0.0256363 | + | 0.0570003i | ||||
\(769\) | −33.9909 | − | 29.4533i | −1.22574 | − | 1.06211i | −0.996045 | − | 0.0888523i | \(-0.971680\pi\) |
−0.229700 | − | 0.973262i | \(-0.573774\pi\) | |||||||
\(770\) | 6.98643 | + | 4.15819i | 0.251774 | + | 0.149851i | ||||
\(771\) | 20.7311 | − | 7.30879i | 0.746612 | − | 0.263220i | ||||
\(772\) | 6.52420 | + | 1.25744i | 0.234811 | + | 0.0452561i | ||||
\(773\) | −7.54630 | + | 7.19539i | −0.271422 | + | 0.258800i | −0.813549 | − | 0.581496i | \(-0.802467\pi\) |
0.542127 | + | 0.840296i | \(0.317619\pi\) | |||||||
\(774\) | 3.98633 | − | 30.1847i | 0.143286 | − | 1.08497i | ||||
\(775\) | 13.9741 | − | 40.3754i | 0.501964 | − | 1.45033i | ||||
\(776\) | 0.0346926 | + | 0.0759663i | 0.00124539 | + | 0.00272703i | ||||
\(777\) | 18.6282 | − | 15.8977i | 0.668283 | − | 0.570327i | ||||
\(778\) | −6.62201 | − | 3.02417i | −0.237410 | − | 0.108422i | ||||
\(779\) | −4.49796 | + | 1.80071i | −0.161156 | + | 0.0645172i | ||||
\(780\) | −17.5063 | + | 24.8856i | −0.626825 | + | 0.891046i | ||||
\(781\) | 8.01384 | + | 4.62679i | 0.286758 | + | 0.165560i | ||||
\(782\) | −25.5651 | − | 11.2376i | −0.914206 | − | 0.401857i | ||||
\(783\) | 39.7933 | + | 17.3502i | 1.42210 | + | 0.620045i | ||||
\(784\) | −0.811999 | − | 6.95274i | −0.0290000 | − | 0.248312i | ||||
\(785\) | −8.79842 | − | 1.26502i | −0.314029 | − | 0.0451506i | ||||
\(786\) | 14.8585 | + | 9.42873i | 0.529984 | + | 0.336312i | ||||
\(787\) | −36.2826 | − | 8.80206i | −1.29333 | − | 0.313760i | −0.470681 | − | 0.882303i | \(-0.655992\pi\) |
−0.822653 | + | 0.568544i | \(0.807507\pi\) | |||||||
\(788\) | −1.72422 | + | 18.0569i | −0.0614228 | + | 0.643249i | ||||
\(789\) | 5.80259 | − | 3.77640i | 0.206578 | − | 0.134443i | ||||
\(790\) | 3.71784 | + | 25.8581i | 0.132275 | + | 0.919991i | ||||
\(791\) | −7.83441 | − | 7.67111i | −0.278559 | − | 0.272753i | ||||
\(792\) | −1.34787 | + | 2.68998i | −0.0478944 | + | 0.0955841i | ||||
\(793\) | −34.2615 | − | 1.63207i | −1.21666 | − | 0.0579567i | ||||
\(794\) | 6.61550 | + | 12.8323i | 0.234775 | + | 0.455400i | ||||
\(795\) | −0.586989 | + | 1.72806i | −0.0208183 | + | 0.0612881i | ||||
\(796\) | 12.7559 | − | 3.09455i | 0.452121 | − | 0.109683i | ||||
\(797\) | −5.21873 | − | 36.2970i | −0.184857 | − | 1.28571i | −0.845081 | − | 0.534639i | \(-0.820448\pi\) |
0.660224 | − | 0.751069i | \(-0.270461\pi\) | |||||||
\(798\) | 3.83744 | − | 0.337324i | 0.135844 | − | 0.0119411i | ||||
\(799\) | −0.00575097 | + | 0.00262638i | −0.000203455 | + | 9.29147e-5i | ||||
\(800\) | 3.02805 | − | 3.17572i | 0.107058 | − | 0.112279i | ||||
\(801\) | 1.55282 | − | 1.83423i | 0.0548661 | − | 0.0648093i | ||||
\(802\) | −8.13772 | + | 10.3480i | −0.287353 | + | 0.365399i | ||||
\(803\) | 10.8850 | + | 5.61160i | 0.384123 | + | 0.198029i | ||||
\(804\) | −7.78214 | + | 10.0137i | −0.274455 | + | 0.353156i | ||||
\(805\) | 36.1069 | + | 14.4138i | 1.27260 | + | 0.508019i | ||||
\(806\) | 55.8244i | 1.96633i | ||||||||
\(807\) | −16.7554 | + | 7.76862i | −0.589817 | + | 0.273468i | ||||
\(808\) | −6.15200 | − | 4.83798i | −0.216426 | − | 0.170200i | ||||
\(809\) | 3.31215 | − | 2.35857i | 0.116449 | − | 0.0829230i | −0.520349 | − | 0.853954i | \(-0.674198\pi\) |
0.636798 | + | 0.771031i | \(0.280259\pi\) | |||||||
\(810\) | 7.15873 | − | 26.6304i | 0.251532 | − | 0.935697i | ||||
\(811\) | −3.66608 | − | 8.02760i | −0.128734 | − | 0.281887i | 0.834280 | − | 0.551342i | \(-0.185884\pi\) |
−0.963013 | + | 0.269454i | \(0.913157\pi\) | |||||||
\(812\) | 6.50826 | − | 21.1241i | 0.228395 | − | 0.741310i | ||||
\(813\) | 22.9748 | − | 40.3271i | 0.805762 | − | 1.41433i | ||||
\(814\) | 1.26360 | + | 5.20864i | 0.0442893 | + | 0.182563i | ||||
\(815\) | −15.6982 | − | 45.3569i | −0.549883 | − | 1.58878i | ||||
\(816\) | 9.91422 | + | 1.85178i | 0.347067 | + | 0.0648251i | ||||
\(817\) | 0.405943 | − | 8.52179i | 0.0142021 | − | 0.298140i | ||||
\(818\) | −21.0504 | − | 18.2403i | −0.736009 | − | 0.637756i | ||||
\(819\) | 45.5064 | + | 0.0807382i | 1.59012 | + | 0.00282122i | ||||
\(820\) | 17.4798 | − | 2.51321i | 0.610420 | − | 0.0877651i | ||||
\(821\) | −48.4144 | − | 16.7564i | −1.68967 | − | 0.584802i | −0.698293 | − | 0.715812i | \(-0.746057\pi\) |
−0.991381 | + | 0.131010i | \(0.958178\pi\) | |||||||
\(822\) | 22.1935 | − | 23.5454i | 0.774088 | − | 0.821239i | ||||
\(823\) | −4.99340 | + | 20.5831i | −0.174059 | + | 0.717481i | 0.816144 | + | 0.577848i | \(0.196107\pi\) |
−0.990203 | + | 0.139633i | \(0.955408\pi\) | |||||||
\(824\) | 12.0764 | − | 1.15315i | 0.420700 | − | 0.0401720i | ||||
\(825\) | 5.48628 | − | 5.29169i | 0.191008 | − | 0.184233i | ||||
\(826\) | −18.9627 | + | 1.55712i | −0.659797 | + | 0.0541790i | ||||
\(827\) | 8.64015 | 0.300447 | 0.150224 | − | 0.988652i | \(-0.452001\pi\) | ||||
0.150224 | + | 0.988652i | \(0.452001\pi\) | |||||||
\(828\) | −4.35409 | + | 13.7128i | −0.151315 | + | 0.476554i | ||||
\(829\) | 4.31523 | − | 7.47420i | 0.149874 | − | 0.259590i | −0.781307 | − | 0.624147i | \(-0.785446\pi\) |
0.931181 | + | 0.364558i | \(0.118780\pi\) | |||||||
\(830\) | −15.6797 | + | 0.746916i | −0.544250 | + | 0.0259258i | ||||
\(831\) | −10.4212 | − | 2.99499i | −0.361507 | − | 0.103895i | ||||
\(832\) | −2.38169 | + | 5.21517i | −0.0825702 | + | 0.180804i | ||||
\(833\) | −38.2296 | + | 14.1398i | −1.32458 | + | 0.489915i | ||||
\(834\) | 1.66940 | + | 0.394848i | 0.0578068 | + | 0.0136725i | ||||
\(835\) | −3.61365 | − | 1.25070i | −0.125056 | − | 0.0432822i | ||||
\(836\) | −0.313343 | + | 0.782693i | −0.0108372 | + | 0.0270700i | ||||
\(837\) | −17.3697 | − | 47.5194i | −0.600385 | − | 1.64251i | ||||
\(838\) | 0.354938 | − | 1.84159i | 0.0122611 | − | 0.0636168i | ||||
\(839\) | 27.3246 | + | 17.5605i | 0.943350 | + | 0.606254i | 0.919343 | − | 0.393458i | \(-0.128721\pi\) |
0.0240072 | + | 0.999712i | \(0.492358\pi\) | |||||||
\(840\) | −13.8826 | − | 2.10271i | −0.478994 | − | 0.0725504i | ||||
\(841\) | 26.7168 | − | 30.8329i | 0.921270 | − | 1.06320i | ||||
\(842\) | −1.53318 | − | 6.31985i | −0.0528369 | − | 0.217797i | ||||
\(843\) | 26.2484 | + | 44.8661i | 0.904044 | + | 1.54527i | ||||
\(844\) | −16.1478 | + | 3.11224i | −0.555831 | + | 0.107128i | ||||
\(845\) | −35.3154 | + | 49.5936i | −1.21489 | + | 1.70607i | ||||
\(846\) | 0.00166095 | + | 0.00280197i | 5.71046e−5 | + | 9.63336e-5i | ||||
\(847\) | −24.4154 | − | 10.1524i | −0.838922 | − | 0.348839i | ||||
\(848\) | −0.0489413 | + | 0.340394i | −0.00168065 | + | 0.0116892i | ||||
\(849\) | −34.9097 | + | 16.1858i | −1.19810 | + | 0.555496i | ||||
\(850\) | −22.1278 | − | 12.7755i | −0.758978 | − | 0.438196i | ||||
\(851\) | 9.86364 | + | 23.6553i | 0.338121 | + | 0.810894i | ||||
\(852\) | −15.8311 | − | 2.18337i | −0.542364 | − | 0.0748011i | ||||
\(853\) | 11.3594 | − | 7.30023i | 0.388938 | − | 0.249955i | −0.331528 | − | 0.943445i | \(-0.607564\pi\) |
0.720466 | + | 0.693490i | \(0.243928\pi\) | |||||||
\(854\) | −6.38384 | − | 14.4842i | −0.218450 | − | 0.495640i | ||||
\(855\) | 1.37503 | − | 7.60365i | 0.0470251 | − | 0.260040i | ||||
\(856\) | −6.76367 | + | 7.09353i | −0.231178 | + | 0.242452i | ||||
\(857\) | −2.49015 | + | 26.0780i | −0.0850618 | + | 0.890807i | 0.847739 | + | 0.530414i | \(0.177964\pi\) |
−0.932800 | + | 0.360393i | \(0.882643\pi\) | |||||||
\(858\) | −4.51269 | + | 8.87832i | −0.154061 | + | 0.303101i | ||||
\(859\) | 8.49395 | − | 6.67972i | 0.289810 | − | 0.227909i | −0.462660 | − | 0.886536i | \(-0.653105\pi\) |
0.752470 | + | 0.658627i | \(0.228862\pi\) | |||||||
\(860\) | −8.76079 | + | 29.8365i | −0.298740 | + | 1.01742i | ||||
\(861\) | −18.0821 | − | 19.2519i | −0.616237 | − | 0.656102i | ||||
\(862\) | 2.27987 | − | 3.54754i | 0.0776525 | − | 0.120830i | ||||
\(863\) | −21.1167 | − | 1.00591i | −0.718822 | − | 0.0342417i | −0.315016 | − | 0.949086i | \(-0.602010\pi\) |
−0.403806 | + | 0.914845i | \(0.632313\pi\) | |||||||
\(864\) | 0.404669 | − | 5.18037i | 0.0137671 | − | 0.176240i | ||||
\(865\) | 13.9656 | + | 14.6467i | 0.474843 | + | 0.498001i | ||||
\(866\) | 23.8396 | − | 18.7476i | 0.810102 | − | 0.637071i | ||||
\(867\) | −1.56146 | − | 29.2420i | −0.0530300 | − | 0.993109i | ||||
\(868\) | −23.0523 | + | 11.4997i | −0.782446 | + | 0.390326i | ||||
\(869\) | 2.40913 | + | 8.20474i | 0.0817241 | + | 0.278327i | ||||
\(870\) | −37.4359 | − | 23.7557i | −1.26920 | − | 0.805393i | ||||
\(871\) | −25.9498 | + | 32.9979i | −0.879276 | + | 1.11809i | ||||
\(872\) | 0.728826 | + | 15.2999i | 0.0246812 | + | 0.518122i | ||||
\(873\) | −0.174965 | − | 0.179325i | −0.00592167 | − | 0.00606922i | ||||
\(874\) | −0.894525 | + | 3.93101i | −0.0302578 | + | 0.132968i | ||||
\(875\) | −4.37934 | − | 2.33177i | −0.148049 | − | 0.0788283i | ||||
\(876\) | −21.0649 | − | 1.88935i | −0.711716 | − | 0.0638351i | ||||
\(877\) | 31.0864 | − | 12.4451i | 1.04971 | − | 0.420241i | 0.218291 | − | 0.975884i | \(-0.429952\pi\) |
0.831421 | + | 0.555642i | \(0.187528\pi\) | |||||||
\(878\) | 17.9399 | − | 12.7750i | 0.605444 | − | 0.431134i | ||||
\(879\) | −31.1855 | + | 24.8159i | −1.05186 | + | 0.837020i | ||||
\(880\) | 1.78248 | − | 2.50314i | 0.0600874 | − | 0.0843810i | ||||
\(881\) | 17.5545 | + | 20.2589i | 0.591425 | + | 0.682540i | 0.970021 | − | 0.243022i | \(-0.0781386\pi\) |
−0.378596 | + | 0.925562i | \(0.623593\pi\) | |||||||
\(882\) | 9.34089 | + | 18.8082i | 0.314524 | + | 0.633305i | ||||
\(883\) | 48.1455 | + | 14.1368i | 1.62023 | + | 0.475741i | 0.961079 | − | 0.276273i | \(-0.0890996\pi\) |
0.659146 | + | 0.752015i | \(0.270918\pi\) | |||||||
\(884\) | 32.7814 | + | 6.31809i | 1.10256 | + | 0.212500i | ||||
\(885\) | −7.00714 | + | 37.5155i | −0.235543 | + | 1.26107i | ||||
\(886\) | −26.8695 | + | 13.8522i | −0.902699 | + | 0.465374i | ||||
\(887\) | 9.26836 | − | 48.0888i | 0.311201 | − | 1.61466i | −0.403326 | − | 0.915056i | \(-0.632146\pi\) |
0.714527 | − | 0.699608i | \(-0.246642\pi\) | |||||||
\(888\) | −5.41240 | − | 7.50893i | −0.181628 | − | 0.251983i | ||||
\(889\) | 10.5579 | − | 29.2437i | 0.354101 | − | 0.980803i | ||||
\(890\) | −1.85499 | + | 1.60736i | −0.0621795 | + | 0.0538789i | ||||
\(891\) | 1.07886 | − | 8.96162i | 0.0361431 | − | 0.300225i | ||||
\(892\) | 3.78656 | − | 15.6084i | 0.126783 | − | 0.522609i | ||||
\(893\) | 0.000529426 | 0 | 0.000743475i | 1.77166e−5 | 0 | 2.48794e-5i | ||||
\(894\) | −10.8256 | + | 37.6681i | −0.362062 | + | 1.25981i | ||||
\(895\) | −40.7388 | − | 63.3908i | −1.36175 | − | 2.11892i | ||||
\(896\) | −2.64419 | + | 0.0908130i | −0.0883363 | + | 0.00303385i | ||||
\(897\) | −14.6732 | + | 45.3074i | −0.489922 | + | 1.51277i | ||||
\(898\) | −6.29305 | − | 10.8999i | −0.210002 | − | 0.363734i | ||||
\(899\) | −81.2549 | + | 3.87065i | −2.71000 | + | 0.129093i | ||||
\(900\) | −5.33049 | + | 12.0364i | −0.177683 | + | 0.401213i | ||||
\(901\) | 1.99342 | − | 0.190348i | 0.0664103 | − | 0.00634142i | ||||
\(902\) | 5.54629 | − | 1.62854i | 0.184671 | − | 0.0542244i | ||||
\(903\) | 44.0635 | − | 14.8803i | 1.46634 | − | 0.495187i | ||||
\(904\) | −3.13202 | + | 2.71391i | −0.104169 | + | 0.0902633i | ||||
\(905\) | −19.4015 | − | 24.6710i | −0.644929 | − | 0.820093i | ||||
\(906\) | 1.44777 | + | 14.2931i | 0.0480988 | + | 0.474855i | ||||
\(907\) | 4.58846 | − | 1.58808i | 0.152357 | − | 0.0527313i | −0.249825 | − | 0.968291i | \(-0.580373\pi\) |
0.402182 | + | 0.915560i | \(0.368252\pi\) | |||||||
\(908\) | −0.255053 | + | 5.35423i | −0.00846424 | + | 0.177686i | ||||
\(909\) | 22.2748 | + | 7.42378i | 0.738808 | + | 0.246231i | ||||
\(910\) | −45.9121 | − | 7.22419i | −1.52197 | − | 0.239480i | ||||
\(911\) | 8.03504 | + | 2.35930i | 0.266213 | + | 0.0781672i | 0.412115 | − | 0.911132i | \(-0.364790\pi\) |
−0.145902 | + | 0.989299i | \(0.546608\pi\) | |||||||
\(912\) | −0.00836823 | − | 1.45598i | −0.000277100 | − | 0.0482124i | ||||
\(913\) | −5.04536 | + | 0.972414i | −0.166977 | + | 0.0321822i | ||||
\(914\) | −6.64050 | − | 0.634091i | −0.219648 | − | 0.0209739i | ||||
\(915\) | −31.4002 | + | 4.69902i | −1.03806 | + | 0.155345i | ||||
\(916\) | 10.8078 | + | 4.93575i | 0.357099 | + | 0.163082i | ||||
\(917\) | −2.91001 | + | 26.7228i | −0.0960970 | + | 0.882464i | ||||
\(918\) | −29.8703 | + | 4.82174i | −0.985868 | + | 0.159141i | ||||
\(919\) | −15.6670 | + | 9.04537i | −0.516808 | + | 0.298379i | −0.735628 | − | 0.677386i | \(-0.763113\pi\) |
0.218820 | + | 0.975765i | \(0.429779\pi\) | |||||||
\(920\) | 6.54649 | − | 13.1555i | 0.215831 | − | 0.433723i | ||||
\(921\) | 37.1035 | − | 15.1020i | 1.22260 | − | 0.497628i | ||||
\(922\) | −7.57423 | − | 3.90479i | −0.249444 | − | 0.128597i | ||||
\(923\) | −52.3602 | − | 7.52826i | −1.72346 | − | 0.247796i | ||||
\(924\) | −4.59585 | − | 0.0345689i | −0.151192 | − | 0.00113723i | ||||
\(925\) | 6.60656 | + | 22.4999i | 0.217222 | + | 0.739791i | ||||
\(926\) | 13.7433 | + | 9.78655i | 0.451632 | + | 0.321606i | ||||
\(927\) | −32.9291 | + | 15.4981i | −1.08153 | + | 0.509024i | ||||
\(928\) | −7.75605 | − | 3.10505i | −0.254605 | − | 0.101928i | ||||
\(929\) | −0.929396 | + | 0.225469i | −0.0304925 | + | 0.00739740i | −0.250976 | − | 0.967993i | \(-0.580752\pi\) |
0.220484 | + | 0.975391i | \(0.429236\pi\) | |||||||
\(930\) | 10.0707 | + | 50.6826i | 0.330232 | + | 1.66195i | ||||
\(931\) | 3.04886 | + | 5.03293i | 0.0999224 | + | 0.164948i | ||||
\(932\) | −0.193520 | + | 0.301123i | −0.00633896 | + | 0.00986362i | ||||
\(933\) | −2.41978 | + | 2.12122i | −0.0792200 | + | 0.0694457i | ||||
\(934\) | −4.81197 | − | 5.04665i | −0.157452 | − | 0.165131i | ||||
\(935\) | −16.6119 | − | 6.65039i | −0.543266 | − | 0.217491i | ||||
\(936\) | 1.43803 | − | 17.1396i | 0.0470035 | − | 0.560226i | ||||
\(937\) | 49.3527 | − | 22.5386i | 1.61228 | − | 0.736305i | 0.613702 | − | 0.789538i | \(-0.289680\pi\) |
0.998582 | + | 0.0532327i | \(0.0169525\pi\) | |||||||
\(938\) | −18.9719 | − | 3.91830i | −0.619453 | − | 0.127937i | ||||
\(939\) | −2.70451 | − | 5.17281i | −0.0882584 | − | 0.168808i | ||||
\(940\) | −0.00123642 | − | 0.00308843i | −4.03276e−5 | − | 0.000100733i | ||||
\(941\) | 1.99161 | + | 41.8089i | 0.0649245 | + | 1.36293i | 0.762763 | + | 0.646678i | \(0.223842\pi\) |
−0.697839 | + | 0.716255i | \(0.745855\pi\) | |||||||
\(942\) | 4.65409 | − | 1.89433i | 0.151639 | − | 0.0617205i | ||||
\(943\) | 24.9771 | − | 11.8398i | 0.813366 | − | 0.385556i | ||||
\(944\) | 7.19136i | 0.234059i | ||||||||
\(945\) | 41.3295 | − | 8.13606i | 1.34445 | − | 0.264666i | ||||
\(946\) | −1.44857 | + | 10.0750i | −0.0470970 | + | 0.327567i | ||||
\(947\) | −2.12917 | − | 22.2977i | −0.0691888 | − | 0.724578i | −0.961800 | − | 0.273751i | \(-0.911735\pi\) |
0.892612 | − | 0.450826i | \(-0.148871\pi\) | |||||||
\(948\) | −9.19540 | − | 11.5556i | −0.298653 | − | 0.375308i | ||||
\(949\) | −69.6899 | − | 6.65458i | −2.26223 | − | 0.216017i | ||||
\(950\) | −1.20644 | + | 3.48577i | −0.0391420 | + | 0.113093i | ||||
\(951\) | 15.9350 | + | 9.07835i | 0.516727 | + | 0.294386i | ||||
\(952\) | 4.14388 | + | 14.8383i | 0.134304 | + | 0.480914i | ||||
\(953\) | 19.6672 | − | 22.6972i | 0.637085 | − | 0.735235i | −0.341772 | − | 0.939783i | \(-0.611027\pi\) |
0.978857 | + | 0.204548i | \(0.0655725\pi\) | |||||||
\(954\) | −0.206879 | − | 1.01073i | −0.00669795 | − | 0.0327235i | ||||
\(955\) | −64.3832 | + | 33.1918i | −2.08339 | + | 1.07406i | ||||
\(956\) | 8.87915 | − | 3.07310i | 0.287172 | − | 0.0993913i | ||||
\(957\) | −13.2357 | − | 5.95284i | −0.427849 | − | 0.192428i | ||||
\(958\) | −16.8546 | + | 2.42332i | −0.544546 | + | 0.0782940i | ||||
\(959\) | 47.2342 | + | 14.5527i | 1.52527 | + | 0.469931i | ||||
\(960\) | −1.22150 | + | 5.16448i | −0.0394238 | + | 0.166683i | ||||
\(961\) | 46.1797 | + | 44.0322i | 1.48967 | + | 1.42039i | ||||
\(962\) | −17.7725 | − | 24.9579i | −0.573007 | − | 0.804676i | ||||
\(963\) | 11.9066 | − | 26.8854i | 0.383684 | − | 0.866369i | ||||
\(964\) | −6.41547 | + | 12.4443i | −0.206628 | + | 0.400803i | ||||
\(965\) | 20.3579 | 0.655344 | ||||||||
\(966\) | −21.7320 | + | 3.27406i | −0.699216 | + | 0.105341i | ||||
\(967\) | −28.3972 | −0.913193 | −0.456596 | − | 0.889674i | \(-0.650932\pi\) | ||||
−0.456596 | + | 0.889674i | \(0.650932\pi\) | |||||||
\(968\) | −4.57958 | + | 8.88315i | −0.147193 | + | 0.285515i | ||||
\(969\) | −8.22766 | + | 2.04615i | −0.264311 | + | 0.0657318i | ||||
\(970\) | 0.148427 | + | 0.208436i | 0.00476569 | + | 0.00669248i | ||||
\(971\) | 19.2499 | + | 18.3547i | 0.617757 | + | 0.589030i | 0.932954 | − | 0.359996i | \(-0.117222\pi\) |
−0.315197 | + | 0.949026i | \(0.602070\pi\) | |||||||
\(972\) | 4.10888 | + | 15.0372i | 0.131792 | + | 0.482318i | ||||
\(973\) | 0.583942 | + | 2.55452i | 0.0187203 | + | 0.0818942i | ||||
\(974\) | −0.502576 | + | 0.0722596i | −0.0161036 | + | 0.00231535i | ||||
\(975\) | −17.8732 | + | 39.7397i | −0.572400 | + | 1.27269i | ||||
\(976\) | −5.65363 | + | 1.95674i | −0.180968 | + | 0.0626337i | ||||
\(977\) | 10.0885 | − | 5.20100i | 0.322761 | − | 0.166395i | −0.289230 | − | 0.957260i | \(-0.593399\pi\) |
0.611991 | + | 0.790865i | \(0.290369\pi\) | |||||||
\(978\) | 20.6070 | + | 17.6497i | 0.658939 | + | 0.564376i | ||||
\(979\) | −0.526134 | + | 0.607191i | −0.0168153 | + | 0.0194059i | ||||
\(980\) | −6.47462 | − | 20.4472i | −0.206824 | − | 0.653163i | ||||
\(981\) | −17.5678 | − | 42.4611i | −0.560897 | − | 1.35568i | ||||
\(982\) | 6.48400 | − | 18.7343i | 0.206913 | − | 0.597835i | ||||
\(983\) | −38.6901 | − | 3.69446i | −1.23402 | − | 0.117835i | −0.542417 | − | 0.840110i | \(-0.682491\pi\) |
−0.691606 | + | 0.722275i | \(0.743097\pi\) | |||||||
\(984\) | −7.81143 | + | 6.21597i | −0.249019 | + | 0.198158i | ||||
\(985\) | 5.28298 | + | 55.3258i | 0.168330 | + | 1.76283i | ||||
\(986\) | −6.92333 | + | 48.1528i | −0.220484 | + | 1.53350i | ||||
\(987\) | −0.00272139 | + | 0.00416535i | −8.66229e−5 | + | 0.000132585i | ||||
\(988\) | − | 4.81954i | − | 0.153330i | ||||||
\(989\) | 0.693725 | + | 48.6676i | 0.0220592 | + | 1.54754i | ||||
\(990\) | −2.49540 | + | 8.87466i | −0.0793089 | + | 0.282055i | ||||
\(991\) | 0.770401 | + | 16.1727i | 0.0244726 | + | 0.513743i | 0.977510 | + | 0.210890i | \(0.0676361\pi\) |
−0.953037 | + | 0.302853i | \(0.902061\pi\) | |||||||
\(992\) | 3.61885 | + | 9.03944i | 0.114898 | + | 0.287002i | ||||
\(993\) | 17.5870 | − | 9.19505i | 0.558106 | − | 0.291796i | ||||
\(994\) | −7.67735 | − | 23.1726i | −0.243511 | − | 0.734990i | ||||
\(995\) | 36.5831 | − | 16.7070i | 1.15976 | − | 0.529646i | ||||
\(996\) | 7.43733 | − | 4.84031i | 0.235661 | − | 0.153371i | ||||
\(997\) | 43.4883 | + | 17.4101i | 1.37729 | + | 0.551383i | 0.937897 | − | 0.346913i | \(-0.112770\pi\) |
0.439391 | + | 0.898296i | \(0.355194\pi\) | |||||||
\(998\) | −23.8093 | − | 24.9705i | −0.753670 | − | 0.790426i | ||||
\(999\) | 22.8941 | + | 15.7151i | 0.724337 | + | 0.497203i |
(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 | 966.2.bf.a.11.13 | ✓ | 1280 | |
3.2 | odd | 2 | inner | 966.2.bf.a.11.33 | yes | 1280 | |
7.2 | even | 3 | inner | 966.2.bf.a.149.62 | yes | 1280 | |
21.2 | odd | 6 | inner | 966.2.bf.a.149.23 | yes | 1280 | |
23.21 | odd | 22 | inner | 966.2.bf.a.389.23 | yes | 1280 | |
69.44 | even | 22 | inner | 966.2.bf.a.389.62 | yes | 1280 | |
161.44 | odd | 66 | inner | 966.2.bf.a.527.33 | yes | 1280 | |
483.44 | even | 66 | inner | 966.2.bf.a.527.13 | yes | 1280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.bf.a.11.13 | ✓ | 1280 | 1.1 | even | 1 | trivial | |
966.2.bf.a.11.33 | yes | 1280 | 3.2 | odd | 2 | inner | |
966.2.bf.a.149.23 | yes | 1280 | 21.2 | odd | 6 | inner | |
966.2.bf.a.149.62 | yes | 1280 | 7.2 | even | 3 | inner | |
966.2.bf.a.389.23 | yes | 1280 | 23.21 | odd | 22 | inner | |
966.2.bf.a.389.62 | yes | 1280 | 69.44 | even | 22 | inner | |
966.2.bf.a.527.13 | yes | 1280 | 483.44 | even | 66 | inner | |
966.2.bf.a.527.33 | yes | 1280 | 161.44 | odd | 66 | inner |