Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(29,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.i (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 29.1 | ||
Root | \(0.959493 - 0.281733i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 322.29 |
Dual form | 322.2.i.a.211.1 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.415415 | + | 0.909632i | −0.293743 | + | 0.643207i | ||||
\(3\) | −2.57385 | − | 0.755750i | −1.48601 | − | 0.436332i | −0.564745 | − | 0.825265i | \(-0.691026\pi\) |
−0.921266 | + | 0.388933i | \(0.872844\pi\) | |||||||
\(4\) | −0.654861 | − | 0.755750i | −0.327430 | − | 0.377875i | ||||
\(5\) | 0.0741615 | − | 0.0476607i | 0.0331660 | − | 0.0213145i | −0.523953 | − | 0.851747i | \(-0.675543\pi\) |
0.557119 | + | 0.830433i | \(0.311907\pi\) | |||||||
\(6\) | 1.75667 | − | 2.02730i | 0.717157 | − | 0.827643i | ||||
\(7\) | 0.142315 | − | 0.989821i | 0.0537900 | − | 0.374117i | ||||
\(8\) | 0.959493 | − | 0.281733i | 0.339232 | − | 0.0996075i | ||||
\(9\) | 3.52977 | + | 2.26844i | 1.17659 | + | 0.756148i | ||||
\(10\) | 0.0125459 | + | 0.0872586i | 0.00396736 | + | 0.0275936i | ||||
\(11\) | −0.716476 | − | 1.56886i | −0.216026 | − | 0.473030i | 0.770333 | − | 0.637642i | \(-0.220090\pi\) |
−0.986358 | + | 0.164612i | \(0.947363\pi\) | |||||||
\(12\) | 1.11435 | + | 2.44009i | 0.321686 | + | 0.704395i | ||||
\(13\) | 0.695368 | + | 4.83639i | 0.192860 | + | 1.34137i | 0.824390 | + | 0.566022i | \(0.191518\pi\) |
−0.631530 | + | 0.775351i | \(0.717573\pi\) | |||||||
\(14\) | 0.841254 | + | 0.540641i | 0.224834 | + | 0.144492i | ||||
\(15\) | −0.226900 | + | 0.0666238i | −0.0585853 | + | 0.0172022i | ||||
\(16\) | −0.142315 | + | 0.989821i | −0.0355787 | + | 0.247455i | ||||
\(17\) | −3.93020 | + | 4.53569i | −0.953214 | + | 1.10007i | 0.0416792 | + | 0.999131i | \(0.486729\pi\) |
−0.994893 | + | 0.100936i | \(0.967816\pi\) | |||||||
\(18\) | −3.52977 | + | 2.26844i | −0.831974 | + | 0.534678i | ||||
\(19\) | 0.260554 | + | 0.300696i | 0.0597753 | + | 0.0689843i | 0.784850 | − | 0.619686i | \(-0.212740\pi\) |
−0.725074 | + | 0.688671i | \(0.758195\pi\) | |||||||
\(20\) | −0.0845850 | − | 0.0248364i | −0.0189138 | − | 0.00555359i | ||||
\(21\) | −1.11435 | + | 2.44009i | −0.243172 | + | 0.532472i | ||||
\(22\) | 1.72472 | 0.367712 | ||||||||
\(23\) | 1.72750 | + | 4.47389i | 0.360209 | + | 0.932871i | ||||
\(24\) | −2.68251 | −0.547564 | ||||||||
\(25\) | −2.07385 | + | 4.54109i | −0.414769 | + | 0.908218i | ||||
\(26\) | −4.68820 | − | 1.37658i | −0.919432 | − | 0.269970i | ||||
\(27\) | −2.10070 | − | 2.42434i | −0.404280 | − | 0.466564i | ||||
\(28\) | −0.841254 | + | 0.540641i | −0.158982 | + | 0.102172i | ||||
\(29\) | 1.83228 | − | 2.11456i | 0.340246 | − | 0.392664i | −0.559679 | − | 0.828709i | \(-0.689076\pi\) |
0.899925 | + | 0.436045i | \(0.143621\pi\) | |||||||
\(30\) | 0.0336545 | − | 0.234072i | 0.00614443 | − | 0.0427355i | ||||
\(31\) | −2.13436 | + | 0.626704i | −0.383342 | + | 0.112559i | −0.467725 | − | 0.883874i | \(-0.654926\pi\) |
0.0843832 | + | 0.996433i | \(0.473108\pi\) | |||||||
\(32\) | −0.841254 | − | 0.540641i | −0.148714 | − | 0.0955727i | ||||
\(33\) | 0.658432 | + | 4.57949i | 0.114618 | + | 0.797187i | ||||
\(34\) | −2.49315 | − | 5.45923i | −0.427571 | − | 0.936250i | ||||
\(35\) | −0.0366213 | − | 0.0801894i | −0.00619013 | − | 0.0135545i | ||||
\(36\) | −0.597131 | − | 4.15314i | −0.0995218 | − | 0.692189i | ||||
\(37\) | 7.46708 | + | 4.79880i | 1.22758 | + | 0.788918i | 0.983513 | − | 0.180840i | \(-0.0578815\pi\) |
0.244068 | + | 0.969758i | \(0.421518\pi\) | |||||||
\(38\) | −0.381761 | + | 0.112095i | −0.0619297 | + | 0.0181842i | ||||
\(39\) | 1.86533 | − | 12.9736i | 0.298692 | − | 2.07745i | ||||
\(40\) | 0.0577299 | − | 0.0666238i | 0.00912789 | − | 0.0105341i | ||||
\(41\) | −6.22653 | + | 4.00155i | −0.972421 | + | 0.624937i | −0.927409 | − | 0.374049i | \(-0.877969\pi\) |
−0.0450121 | + | 0.998986i | \(0.514333\pi\) | |||||||
\(42\) | −1.75667 | − | 2.02730i | −0.271060 | − | 0.312820i | ||||
\(43\) | 8.04733 | + | 2.36291i | 1.22721 | + | 0.360340i | 0.830195 | − | 0.557473i | \(-0.188229\pi\) |
0.397012 | + | 0.917813i | \(0.370047\pi\) | |||||||
\(44\) | −0.716476 | + | 1.56886i | −0.108013 | + | 0.236515i | ||||
\(45\) | 0.369889 | 0.0551397 | ||||||||
\(46\) | −4.78723 | − | 0.287130i | −0.705838 | − | 0.0423350i | ||||
\(47\) | −3.30416 | −0.481962 | −0.240981 | − | 0.970530i | \(-0.577469\pi\) | ||||
−0.240981 | + | 0.970530i | \(0.577469\pi\) | |||||||
\(48\) | 1.11435 | − | 2.44009i | 0.160843 | − | 0.352197i | ||||
\(49\) | −0.959493 | − | 0.281733i | −0.137070 | − | 0.0402475i | ||||
\(50\) | −3.26921 | − | 3.77287i | −0.462337 | − | 0.533565i | ||||
\(51\) | 13.5436 | − | 8.70393i | 1.89648 | − | 1.21879i | ||||
\(52\) | 3.19973 | − | 3.69269i | 0.443723 | − | 0.512083i | ||||
\(53\) | 1.30473 | − | 9.07459i | 0.179218 | − | 1.24649i | −0.679358 | − | 0.733807i | \(-0.737742\pi\) |
0.858577 | − | 0.512685i | \(-0.171349\pi\) | |||||||
\(54\) | 3.07792 | − | 0.903759i | 0.418852 | − | 0.122986i | ||||
\(55\) | −0.127908 | − | 0.0822015i | −0.0172471 | − | 0.0110841i | ||||
\(56\) | −0.142315 | − | 0.989821i | −0.0190176 | − | 0.132270i | ||||
\(57\) | −0.443376 | − | 0.970858i | −0.0587266 | − | 0.128593i | ||||
\(58\) | 1.16232 | + | 2.54512i | 0.152620 | + | 0.334191i | ||||
\(59\) | −0.378794 | − | 2.63457i | −0.0493147 | − | 0.342992i | −0.999509 | − | 0.0313333i | \(-0.990025\pi\) |
0.950194 | − | 0.311658i | \(-0.100884\pi\) | |||||||
\(60\) | 0.198939 | + | 0.127850i | 0.0256829 | + | 0.0165054i | ||||
\(61\) | −2.20579 | + | 0.647679i | −0.282423 | + | 0.0829268i | −0.419876 | − | 0.907581i | \(-0.637926\pi\) |
0.137453 | + | 0.990508i | \(0.456108\pi\) | |||||||
\(62\) | 0.316574 | − | 2.20182i | 0.0402049 | − | 0.279632i | ||||
\(63\) | 2.74769 | − | 3.17101i | 0.346177 | − | 0.399509i | ||||
\(64\) | 0.841254 | − | 0.540641i | 0.105157 | − | 0.0675801i | ||||
\(65\) | 0.282075 | + | 0.325532i | 0.0349871 | + | 0.0403773i | ||||
\(66\) | −4.43918 | − | 1.30346i | −0.546425 | − | 0.160445i | ||||
\(67\) | 0.401608 | − | 0.879398i | 0.0490642 | − | 0.107436i | −0.883512 | − | 0.468408i | \(-0.844828\pi\) |
0.932577 | + | 0.360972i | \(0.117555\pi\) | |||||||
\(68\) | 6.00158 | 0.727799 | ||||||||
\(69\) | −1.06519 | − | 12.8207i | −0.128233 | − | 1.54343i | ||||
\(70\) | 0.0881559 | 0.0105366 | ||||||||
\(71\) | −5.55888 | + | 12.1722i | −0.659718 | + | 1.44458i | 0.223067 | + | 0.974803i | \(0.428393\pi\) |
−0.882785 | + | 0.469777i | \(0.844334\pi\) | |||||||
\(72\) | 4.02588 | + | 1.18211i | 0.474455 | + | 0.139313i | ||||
\(73\) | 6.97403 | + | 8.04846i | 0.816249 | + | 0.942001i | 0.999154 | − | 0.0411292i | \(-0.0130955\pi\) |
−0.182905 | + | 0.983131i | \(0.558550\pi\) | |||||||
\(74\) | −7.46708 | + | 4.79880i | −0.868031 | + | 0.557850i | ||||
\(75\) | 8.76969 | − | 10.1208i | 1.01264 | − | 1.16865i | ||||
\(76\) | 0.0566239 | − | 0.393828i | 0.00649520 | − | 0.0451751i | ||||
\(77\) | −1.65486 | + | 0.485911i | −0.188589 | + | 0.0553747i | ||||
\(78\) | 11.0264 | + | 7.08621i | 1.24849 | + | 0.802355i | ||||
\(79\) | −0.363404 | − | 2.52753i | −0.0408861 | − | 0.284369i | −0.999999 | − | 0.00134579i | \(-0.999572\pi\) |
0.959113 | − | 0.283024i | \(-0.0913375\pi\) | |||||||
\(80\) | 0.0366213 | + | 0.0801894i | 0.00409439 | + | 0.00896545i | ||||
\(81\) | −1.65436 | − | 3.62254i | −0.183818 | − | 0.402505i | ||||
\(82\) | −1.05334 | − | 7.32616i | −0.116322 | − | 0.809039i | ||||
\(83\) | −6.48421 | − | 4.16715i | −0.711734 | − | 0.457404i | 0.134018 | − | 0.990979i | \(-0.457212\pi\) |
−0.845753 | + | 0.533575i | \(0.820848\pi\) | |||||||
\(84\) | 2.57385 | − | 0.755750i | 0.280830 | − | 0.0824590i | ||||
\(85\) | −0.0752952 | + | 0.523690i | −0.00816691 | + | 0.0568021i | ||||
\(86\) | −5.49236 | + | 6.33852i | −0.592257 | + | 0.683501i | ||||
\(87\) | −6.31408 | + | 4.05782i | −0.676941 | + | 0.435043i | ||||
\(88\) | −1.12945 | − | 1.30346i | −0.120400 | − | 0.138949i | ||||
\(89\) | −2.88384 | − | 0.846773i | −0.305687 | − | 0.0897578i | 0.125292 | − | 0.992120i | \(-0.460013\pi\) |
−0.430979 | + | 0.902362i | \(0.641832\pi\) | |||||||
\(90\) | −0.153657 | + | 0.336462i | −0.0161969 | + | 0.0354663i | ||||
\(91\) | 4.88612 | 0.512205 | ||||||||
\(92\) | 2.24987 | − | 4.23534i | 0.234565 | − | 0.441565i | ||||
\(93\) | 5.96714 | 0.618763 | ||||||||
\(94\) | 1.37260 | − | 3.00557i | 0.141573 | − | 0.310001i | ||||
\(95\) | 0.0336545 | + | 0.00988184i | 0.00345287 | + | 0.00101386i | ||||
\(96\) | 1.75667 | + | 2.02730i | 0.179289 | + | 0.206911i | ||||
\(97\) | 2.35857 | − | 1.51576i | 0.239476 | − | 0.153902i | −0.415398 | − | 0.909640i | \(-0.636358\pi\) |
0.654875 | + | 0.755738i | \(0.272721\pi\) | |||||||
\(98\) | 0.654861 | − | 0.755750i | 0.0661509 | − | 0.0763422i | ||||
\(99\) | 1.02989 | − | 7.16301i | 0.103507 | − | 0.719910i | ||||
\(100\) | 4.79001 | − | 1.40647i | 0.479001 | − | 0.140647i | ||||
\(101\) | 11.4109 | + | 7.33335i | 1.13543 | + | 0.729695i | 0.966686 | − | 0.255965i | \(-0.0823933\pi\) |
0.168742 | + | 0.985660i | \(0.446030\pi\) | |||||||
\(102\) | 2.29117 | + | 15.9354i | 0.226859 | + | 1.57784i | ||||
\(103\) | 2.04358 | + | 4.47481i | 0.201360 | + | 0.440916i | 0.983192 | − | 0.182572i | \(-0.0584423\pi\) |
−0.781833 | + | 0.623488i | \(0.785715\pi\) | |||||||
\(104\) | 2.02977 | + | 4.44457i | 0.199035 | + | 0.435826i | ||||
\(105\) | 0.0336545 | + | 0.234072i | 0.00328434 | + | 0.0228431i | ||||
\(106\) | 7.71254 | + | 4.95655i | 0.749108 | + | 0.481422i | ||||
\(107\) | −19.1531 | + | 5.62387i | −1.85160 | + | 0.543680i | −0.851799 | + | 0.523868i | \(0.824488\pi\) |
−0.999804 | + | 0.0198116i | \(0.993693\pi\) | |||||||
\(108\) | −0.456526 | + | 3.17521i | −0.0439292 | + | 0.305535i | ||||
\(109\) | −0.803147 | + | 0.926881i | −0.0769276 | + | 0.0887791i | −0.792909 | − | 0.609341i | \(-0.791434\pi\) |
0.715981 | + | 0.698120i | \(0.245980\pi\) | |||||||
\(110\) | 0.127908 | − | 0.0822015i | 0.0121956 | − | 0.00783761i | ||||
\(111\) | −15.5924 | − | 17.9946i | −1.47997 | − | 1.70797i | ||||
\(112\) | 0.959493 | + | 0.281733i | 0.0906636 | + | 0.0266212i | ||||
\(113\) | −7.43988 | + | 16.2911i | −0.699885 | + | 1.53253i | 0.140226 | + | 0.990119i | \(0.455217\pi\) |
−0.840111 | + | 0.542414i | \(0.817510\pi\) | |||||||
\(114\) | 1.06731 | 0.0999626 | ||||||||
\(115\) | 0.341343 | + | 0.249457i | 0.0318304 | + | 0.0232619i | ||||
\(116\) | −2.79797 | −0.259785 | ||||||||
\(117\) | −8.51659 | + | 18.6487i | −0.787359 | + | 1.72408i | ||||
\(118\) | 2.55384 | + | 0.749876i | 0.235100 | + | 0.0690317i | ||||
\(119\) | 3.93020 | + | 4.53569i | 0.360281 | + | 0.415786i | ||||
\(120\) | −0.198939 | + | 0.127850i | −0.0181605 | + | 0.0116711i | ||||
\(121\) | 5.25547 | − | 6.06514i | 0.477770 | − | 0.551376i | ||||
\(122\) | 0.327169 | − | 2.27551i | 0.0296205 | − | 0.206015i | ||||
\(123\) | 19.0503 | − | 5.59367i | 1.71771 | − | 0.504365i | ||||
\(124\) | 1.87134 | + | 1.20264i | 0.168051 | + | 0.108000i | ||||
\(125\) | 0.125361 | + | 0.871908i | 0.0112127 | + | 0.0779858i | ||||
\(126\) | 1.74302 | + | 3.81667i | 0.155280 | + | 0.340016i | ||||
\(127\) | −3.82561 | − | 8.37691i | −0.339468 | − | 0.743331i | 0.660504 | − | 0.750822i | \(-0.270343\pi\) |
−0.999972 | + | 0.00749154i | \(0.997615\pi\) | |||||||
\(128\) | 0.142315 | + | 0.989821i | 0.0125790 | + | 0.0874887i | ||||
\(129\) | −18.9268 | − | 12.1635i | −1.66641 | − | 1.07094i | ||||
\(130\) | −0.413293 | + | 0.121354i | −0.0362482 | + | 0.0106434i | ||||
\(131\) | 1.23660 | − | 8.60076i | 0.108042 | − | 0.751451i | −0.861717 | − | 0.507389i | \(-0.830611\pi\) |
0.969760 | − | 0.244062i | \(-0.0784802\pi\) | |||||||
\(132\) | 3.02977 | − | 3.49654i | 0.263708 | − | 0.304335i | ||||
\(133\) | 0.334716 | − | 0.215109i | 0.0290235 | − | 0.0186523i | ||||
\(134\) | 0.633095 | + | 0.730630i | 0.0546911 | + | 0.0631169i | ||||
\(135\) | −0.271337 | − | 0.0796717i | −0.0233530 | − | 0.00685705i | ||||
\(136\) | −2.49315 | + | 5.45923i | −0.213786 | + | 0.468125i | ||||
\(137\) | −0.107600 | −0.00919287 | −0.00459643 | − | 0.999989i | \(-0.501463\pi\) | ||||
−0.00459643 | + | 0.999989i | \(0.501463\pi\) | |||||||
\(138\) | 12.1046 | + | 4.35697i | 1.03041 | + | 0.370890i | ||||
\(139\) | −18.1038 | −1.53554 | −0.767772 | − | 0.640724i | \(-0.778634\pi\) | ||||
−0.767772 | + | 0.640724i | \(0.778634\pi\) | |||||||
\(140\) | −0.0366213 | + | 0.0801894i | −0.00309506 | + | 0.00677725i | ||||
\(141\) | 8.50441 | + | 2.49712i | 0.716200 | + | 0.210295i | ||||
\(142\) | −8.76303 | − | 10.1131i | −0.735377 | − | 0.848670i | ||||
\(143\) | 7.08942 | − | 4.55610i | 0.592847 | − | 0.381000i | ||||
\(144\) | −2.74769 | + | 3.17101i | −0.228974 | + | 0.264251i | ||||
\(145\) | 0.0351030 | − | 0.244147i | 0.00291515 | − | 0.0202753i | ||||
\(146\) | −10.2183 | + | 3.00035i | −0.845669 | + | 0.248311i | ||||
\(147\) | 2.25667 | + | 1.45027i | 0.186127 | + | 0.119616i | ||||
\(148\) | −1.26321 | − | 8.78579i | −0.103835 | − | 0.722188i | ||||
\(149\) | −4.27678 | − | 9.36485i | −0.350368 | − | 0.767198i | −0.999976 | − | 0.00692928i | \(-0.997794\pi\) |
0.649608 | − | 0.760269i | \(-0.274933\pi\) | |||||||
\(150\) | 5.56311 | + | 12.1815i | 0.454226 | + | 0.994616i | ||||
\(151\) | −2.01062 | − | 13.9842i | −0.163622 | − | 1.13802i | −0.891734 | − | 0.452559i | \(-0.850511\pi\) |
0.728112 | − | 0.685458i | \(-0.240398\pi\) | |||||||
\(152\) | 0.334716 | + | 0.215109i | 0.0271490 | + | 0.0174476i | ||||
\(153\) | −24.1617 | + | 7.09451i | −1.95336 | + | 0.573557i | ||||
\(154\) | 0.245454 | − | 1.70717i | 0.0197792 | − | 0.137568i | ||||
\(155\) | −0.128418 | + | 0.148202i | −0.0103148 | + | 0.0119039i | ||||
\(156\) | −11.0264 | + | 7.08621i | −0.882815 | + | 0.567351i | ||||
\(157\) | −12.7560 | − | 14.7212i | −1.01804 | − | 1.17488i | −0.984489 | − | 0.175445i | \(-0.943864\pi\) |
−0.0335519 | − | 0.999437i | \(-0.510682\pi\) | |||||||
\(158\) | 2.45009 | + | 0.719410i | 0.194918 | + | 0.0572332i | ||||
\(159\) | −10.2163 | + | 22.3706i | −0.810205 | + | 1.77410i | ||||
\(160\) | −0.0881559 | −0.00696934 | ||||||||
\(161\) | 4.67421 | − | 1.07322i | 0.368379 | − | 0.0845815i | ||||
\(162\) | 3.98242 | 0.312889 | ||||||||
\(163\) | −4.64753 | + | 10.1767i | −0.364023 | + | 0.797099i | 0.635661 | + | 0.771968i | \(0.280728\pi\) |
−0.999684 | + | 0.0251309i | \(0.992000\pi\) | |||||||
\(164\) | 7.10168 | + | 2.08524i | 0.554548 | + | 0.162830i | ||||
\(165\) | 0.267092 | + | 0.308241i | 0.0207931 | + | 0.0239965i | ||||
\(166\) | 6.48421 | − | 4.16715i | 0.503272 | − | 0.323433i | ||||
\(167\) | −6.29370 | + | 7.26331i | −0.487021 | + | 0.562052i | −0.945067 | − | 0.326876i | \(-0.894004\pi\) |
0.458046 | + | 0.888928i | \(0.348549\pi\) | |||||||
\(168\) | −0.381761 | + | 2.65520i | −0.0294535 | + | 0.204853i | ||||
\(169\) | −10.4337 | + | 3.06361i | −0.802593 | + | 0.235663i | ||||
\(170\) | −0.445086 | − | 0.286040i | −0.0341366 | − | 0.0219382i | ||||
\(171\) | 0.237585 | + | 1.65244i | 0.0181686 | + | 0.126365i | ||||
\(172\) | −3.48411 | − | 7.62915i | −0.265661 | − | 0.581717i | ||||
\(173\) | −1.59742 | − | 3.49787i | −0.121450 | − | 0.265938i | 0.839136 | − | 0.543922i | \(-0.183061\pi\) |
−0.960586 | + | 0.277984i | \(0.910334\pi\) | |||||||
\(174\) | −1.06815 | − | 7.42917i | −0.0809765 | − | 0.563204i | ||||
\(175\) | 4.19973 | + | 2.69900i | 0.317470 | + | 0.204025i | ||||
\(176\) | 1.65486 | − | 0.485911i | 0.124740 | − | 0.0366269i | ||||
\(177\) | −1.01612 | + | 7.06725i | −0.0763760 | + | 0.531207i | ||||
\(178\) | 1.96824 | − | 2.27148i | 0.147526 | − | 0.170254i | ||||
\(179\) | −0.0130114 | + | 0.00836195i | −0.000972521 | + | 0.000625002i | −0.541127 | − | 0.840941i | \(-0.682002\pi\) |
0.540154 | + | 0.841566i | \(0.318366\pi\) | |||||||
\(180\) | −0.242225 | − | 0.279543i | −0.0180544 | − | 0.0208359i | ||||
\(181\) | 23.6098 | + | 6.93248i | 1.75491 | + | 0.515287i | 0.991440 | − | 0.130561i | \(-0.0416780\pi\) |
0.763466 | + | 0.645848i | \(0.223496\pi\) | |||||||
\(182\) | −2.02977 | + | 4.44457i | −0.150456 | + | 0.329454i | ||||
\(183\) | 6.16685 | 0.455867 | ||||||||
\(184\) | 2.91797 | + | 3.80598i | 0.215116 | + | 0.280580i | ||||
\(185\) | 0.782484 | 0.0575294 | ||||||||
\(186\) | −2.47884 | + | 5.42790i | −0.181757 | + | 0.397993i | ||||
\(187\) | 9.93178 | + | 2.91623i | 0.726284 | + | 0.213256i | ||||
\(188\) | 2.16377 | + | 2.49712i | 0.157809 | + | 0.182121i | ||||
\(189\) | −2.69862 | + | 1.73430i | −0.196296 | + | 0.126152i | ||||
\(190\) | −0.0229694 | + | 0.0265081i | −0.00166638 | + | 0.00192310i | ||||
\(191\) | −1.09030 | + | 7.58323i | −0.0788916 | + | 0.548703i | 0.911595 | + | 0.411091i | \(0.134852\pi\) |
−0.990486 | + | 0.137613i | \(0.956057\pi\) | |||||||
\(192\) | −2.57385 | + | 0.755750i | −0.185751 | + | 0.0545415i | ||||
\(193\) | 15.2735 | + | 9.81570i | 1.09941 | + | 0.706550i | 0.958961 | − | 0.283538i | \(-0.0915081\pi\) |
0.140452 | + | 0.990088i | \(0.455145\pi\) | |||||||
\(194\) | 0.398999 | + | 2.77510i | 0.0286464 | + | 0.199240i | ||||
\(195\) | −0.479997 | − | 1.05105i | −0.0343733 | − | 0.0752671i | ||||
\(196\) | 0.415415 | + | 0.909632i | 0.0296725 | + | 0.0649737i | ||||
\(197\) | −0.829895 | − | 5.77204i | −0.0591275 | − | 0.411241i | −0.997792 | − | 0.0664103i | \(-0.978845\pi\) |
0.938665 | − | 0.344831i | \(-0.112064\pi\) | |||||||
\(198\) | 6.08788 | + | 3.91244i | 0.432647 | + | 0.278045i | ||||
\(199\) | 16.4963 | − | 4.84374i | 1.16939 | − | 0.343364i | 0.361315 | − | 0.932444i | \(-0.382328\pi\) |
0.808075 | + | 0.589080i | \(0.200510\pi\) | |||||||
\(200\) | −0.710468 | + | 4.94141i | −0.0502377 | + | 0.349411i | ||||
\(201\) | −1.69828 | + | 1.95992i | −0.119788 | + | 0.138242i | ||||
\(202\) | −11.4109 | + | 7.33335i | −0.802869 | + | 0.515972i | ||||
\(203\) | −1.83228 | − | 2.11456i | −0.128601 | − | 0.148413i | ||||
\(204\) | −15.4472 | − | 4.53569i | −1.08152 | − | 0.317562i | ||||
\(205\) | −0.271052 | + | 0.593522i | −0.0189311 | + | 0.0414533i | ||||
\(206\) | −4.91936 | −0.342748 | ||||||||
\(207\) | −4.05109 | + | 19.7106i | −0.281570 | + | 1.36998i | ||||
\(208\) | −4.88612 | −0.338792 | ||||||||
\(209\) | 0.285070 | − | 0.624216i | 0.0197187 | − | 0.0431779i | ||||
\(210\) | −0.226900 | − | 0.0666238i | −0.0156576 | − | 0.00459748i | ||||
\(211\) | 10.2233 | + | 11.7984i | 0.703804 | + | 0.812233i | 0.989261 | − | 0.146158i | \(-0.0466909\pi\) |
−0.285457 | + | 0.958391i | \(0.592145\pi\) | |||||||
\(212\) | −7.71254 | + | 4.95655i | −0.529699 | + | 0.340417i | ||||
\(213\) | 23.5069 | − | 27.1284i | 1.61066 | − | 1.85881i | ||||
\(214\) | 2.84085 | − | 19.7585i | 0.194196 | − | 1.35067i | ||||
\(215\) | 0.709420 | − | 0.208305i | 0.0483821 | − | 0.0142063i | ||||
\(216\) | −2.69862 | − | 1.73430i | −0.183618 | − | 0.118004i | ||||
\(217\) | 0.316574 | + | 2.20182i | 0.0214904 | + | 0.149469i | ||||
\(218\) | −0.509482 | − | 1.11561i | −0.0345064 | − | 0.0755586i | ||||
\(219\) | −11.8675 | − | 25.9861i | −0.801929 | − | 1.75598i | ||||
\(220\) | 0.0216382 | + | 0.150497i | 0.00145885 | + | 0.0101465i | ||||
\(221\) | −24.6693 | − | 15.8540i | −1.65944 | − | 1.06646i | ||||
\(222\) | 22.8458 | − | 6.70814i | 1.53331 | − | 0.450221i | ||||
\(223\) | −3.60127 | + | 25.0474i | −0.241159 | + | 1.67730i | 0.405172 | + | 0.914241i | \(0.367212\pi\) |
−0.646331 | + | 0.763057i | \(0.723697\pi\) | |||||||
\(224\) | −0.654861 | + | 0.755750i | −0.0437547 | + | 0.0504956i | ||||
\(225\) | −17.6214 | + | 11.3246i | −1.17476 | + | 0.754973i | ||||
\(226\) | −11.7282 | − | 13.5351i | −0.780150 | − | 0.900342i | ||||
\(227\) | 17.9687 | + | 5.27610i | 1.19263 | + | 0.350187i | 0.817030 | − | 0.576596i | \(-0.195619\pi\) |
0.375598 | + | 0.926783i | \(0.377437\pi\) | |||||||
\(228\) | −0.443376 | + | 0.970858i | −0.0293633 | + | 0.0642967i | ||||
\(229\) | 3.27777 | 0.216601 | 0.108301 | − | 0.994118i | \(-0.465459\pi\) | ||||
0.108301 | + | 0.994118i | \(0.465459\pi\) | |||||||
\(230\) | −0.368713 | + | 0.206869i | −0.0243122 | + | 0.0136405i | ||||
\(231\) | 4.62658 | 0.304407 | ||||||||
\(232\) | 1.16232 | − | 2.54512i | 0.0763099 | − | 0.167095i | ||||
\(233\) | 27.6698 | + | 8.12459i | 1.81271 | + | 0.532260i | 0.998811 | − | 0.0487473i | \(-0.0155229\pi\) |
0.813899 | + | 0.581007i | \(0.197341\pi\) | |||||||
\(234\) | −13.4256 | − | 15.4939i | −0.877657 | − | 1.01287i | ||||
\(235\) | −0.245042 | + | 0.157479i | −0.0159847 | + | 0.0102728i | ||||
\(236\) | −1.74302 | + | 2.01155i | −0.113461 | + | 0.130941i | ||||
\(237\) | −0.974834 | + | 6.78012i | −0.0633223 | + | 0.440416i | ||||
\(238\) | −5.75848 | + | 1.69084i | −0.373267 | + | 0.109601i | ||||
\(239\) | −16.4667 | − | 10.5825i | −1.06514 | − | 0.684525i | −0.114063 | − | 0.993474i | \(-0.536387\pi\) |
−0.951079 | + | 0.308949i | \(0.900023\pi\) | |||||||
\(240\) | −0.0336545 | − | 0.234072i | −0.00217239 | − | 0.0151093i | ||||
\(241\) | 2.41834 | + | 5.29542i | 0.155779 | + | 0.341108i | 0.971389 | − | 0.237494i | \(-0.0763259\pi\) |
−0.815610 | + | 0.578602i | \(0.803599\pi\) | |||||||
\(242\) | 3.33384 | + | 7.30009i | 0.214307 | + | 0.469268i | ||||
\(243\) | 2.88991 | + | 20.0998i | 0.185388 | + | 1.28940i | ||||
\(244\) | 1.93397 | + | 1.24289i | 0.123810 | + | 0.0795677i | ||||
\(245\) | −0.0845850 | + | 0.0248364i | −0.00540394 | + | 0.00158674i | ||||
\(246\) | −2.82560 | + | 19.6525i | −0.180154 | + | 1.25300i | ||||
\(247\) | −1.27310 | + | 1.46924i | −0.0810054 | + | 0.0934852i | ||||
\(248\) | −1.87134 | + | 1.20264i | −0.118830 | + | 0.0763674i | ||||
\(249\) | 13.5400 | + | 15.6260i | 0.858065 | + | 0.990260i | ||||
\(250\) | −0.845193 | − | 0.248171i | −0.0534547 | − | 0.0156957i | ||||
\(251\) | 6.52594 | − | 14.2898i | 0.411913 | − | 0.901965i | −0.584009 | − | 0.811747i | \(-0.698517\pi\) |
0.995922 | − | 0.0902172i | \(-0.0287561\pi\) | |||||||
\(252\) | −4.19584 | −0.264313 | ||||||||
\(253\) | 5.78122 | − | 5.91566i | 0.363462 | − | 0.371914i | ||||
\(254\) | 9.20912 | 0.577832 | ||||||||
\(255\) | 0.589577 | − | 1.29099i | 0.0369207 | − | 0.0808451i | ||||
\(256\) | −0.959493 | − | 0.281733i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | −16.5457 | − | 19.0948i | −1.03209 | − | 1.19110i | −0.981319 | − | 0.192389i | \(-0.938377\pi\) |
−0.0507743 | − | 0.998710i | \(-0.516169\pi\) | |||||||
\(258\) | 18.9268 | − | 12.1635i | 1.17833 | − | 0.757269i | ||||
\(259\) | 5.81264 | − | 6.70814i | 0.361180 | − | 0.416823i | ||||
\(260\) | 0.0613008 | − | 0.426356i | 0.00380171 | − | 0.0264415i | ||||
\(261\) | 11.2643 | − | 3.30749i | 0.697242 | − | 0.204729i | ||||
\(262\) | 7.30982 | + | 4.69774i | 0.451602 | + | 0.290227i | ||||
\(263\) | 2.57189 | + | 17.8879i | 0.158589 | + | 1.10301i | 0.901236 | + | 0.433329i | \(0.142661\pi\) |
−0.742647 | + | 0.669684i | \(0.766430\pi\) | |||||||
\(264\) | 1.92195 | + | 4.20849i | 0.118288 | + | 0.259015i | ||||
\(265\) | −0.335741 | − | 0.735170i | −0.0206244 | − | 0.0451611i | ||||
\(266\) | 0.0566239 | + | 0.393828i | 0.00347183 | + | 0.0241471i | ||||
\(267\) | 6.78263 | + | 4.35893i | 0.415090 | + | 0.266762i | ||||
\(268\) | −0.927602 | + | 0.272368i | −0.0566623 | + | 0.0166376i | ||||
\(269\) | −1.19622 | + | 8.31991i | −0.0729350 | + | 0.507274i | 0.920306 | + | 0.391200i | \(0.127940\pi\) |
−0.993241 | + | 0.116074i | \(0.962969\pi\) | |||||||
\(270\) | 0.185189 | − | 0.213720i | 0.0112703 | − | 0.0130066i | ||||
\(271\) | 22.3521 | − | 14.3648i | 1.35779 | − | 0.872601i | 0.359625 | − | 0.933097i | \(-0.382905\pi\) |
0.998168 | + | 0.0604958i | \(0.0192682\pi\) | |||||||
\(272\) | −3.93020 | − | 4.53569i | −0.238303 | − | 0.275017i | ||||
\(273\) | −12.5761 | − | 3.69269i | −0.761142 | − | 0.223491i | ||||
\(274\) | 0.0446985 | − | 0.0978762i | 0.00270034 | − | 0.00591292i | ||||
\(275\) | 8.61022 | 0.519216 | ||||||||
\(276\) | −8.99167 | + | 9.20077i | −0.541235 | + | 0.553821i | ||||
\(277\) | −28.4003 | −1.70641 | −0.853203 | − | 0.521578i | \(-0.825343\pi\) | ||||
−0.853203 | + | 0.521578i | \(0.825343\pi\) | |||||||
\(278\) | 7.52059 | − | 16.4678i | 0.451055 | − | 0.987672i | ||||
\(279\) | −8.95543 | − | 2.62955i | −0.536147 | − | 0.157427i | ||||
\(280\) | −0.0577299 | − | 0.0666238i | −0.00345002 | − | 0.00398153i | ||||
\(281\) | 4.32948 | − | 2.78239i | 0.258275 | − | 0.165983i | −0.405095 | − | 0.914274i | \(-0.632762\pi\) |
0.663371 | + | 0.748291i | \(0.269125\pi\) | |||||||
\(282\) | −5.80432 | + | 6.69854i | −0.345642 | + | 0.398892i | ||||
\(283\) | −0.729260 | + | 5.07211i | −0.0433500 | + | 0.301506i | 0.956599 | + | 0.291408i | \(0.0941236\pi\) |
−0.999949 | + | 0.0100984i | \(0.996786\pi\) | |||||||
\(284\) | 12.8395 | − | 3.77001i | 0.761882 | − | 0.223709i | ||||
\(285\) | −0.0791532 | − | 0.0508687i | −0.00468863 | − | 0.00301320i | ||||
\(286\) | 1.19932 | + | 8.34144i | 0.0709171 | + | 0.493240i | ||||
\(287\) | 3.07469 | + | 6.73263i | 0.181493 | + | 0.397415i | ||||
\(288\) | −1.74302 | − | 3.81667i | −0.102708 | − | 0.224900i | ||||
\(289\) | −2.70668 | − | 18.8254i | −0.159217 | − | 1.10738i | ||||
\(290\) | 0.207501 | + | 0.133353i | 0.0121849 | + | 0.00783076i | ||||
\(291\) | −7.21612 | + | 2.11884i | −0.423016 | + | 0.124209i | ||||
\(292\) | 1.51560 | − | 10.5412i | 0.0886939 | − | 0.616880i | ||||
\(293\) | 15.2037 | − | 17.5460i | 0.888211 | − | 1.02505i | −0.111301 | − | 0.993787i | \(-0.535502\pi\) |
0.999511 | − | 0.0312630i | \(-0.00995293\pi\) | |||||||
\(294\) | −2.25667 | + | 1.45027i | −0.131612 | + | 0.0845816i | ||||
\(295\) | −0.153657 | − | 0.177330i | −0.00894627 | − | 0.0103245i | ||||
\(296\) | 8.51659 | + | 2.50070i | 0.495017 | + | 0.145350i | ||||
\(297\) | −2.29836 | + | 5.03270i | −0.133364 | + | 0.292027i | ||||
\(298\) | 10.2952 | 0.596385 | ||||||||
\(299\) | −20.4362 | + | 11.4659i | −1.18186 | + | 0.663089i | ||||
\(300\) | −13.3917 | −0.773169 | ||||||||
\(301\) | 3.48411 | − | 7.62915i | 0.200821 | − | 0.439737i | ||||
\(302\) | 13.5557 | + | 3.98032i | 0.780044 | + | 0.229041i | ||||
\(303\) | −23.8278 | − | 27.4987i | −1.36887 | − | 1.57976i | ||||
\(304\) | −0.334716 | + | 0.215109i | −0.0191973 | + | 0.0123373i | ||||
\(305\) | −0.132716 | + | 0.153162i | −0.00759929 | + | 0.00877005i | ||||
\(306\) | 3.58373 | − | 24.9254i | 0.204868 | − | 1.42489i | ||||
\(307\) | 10.7206 | − | 3.14786i | 0.611859 | − | 0.179658i | 0.0389016 | − | 0.999243i | \(-0.487614\pi\) |
0.572958 | + | 0.819585i | \(0.305796\pi\) | |||||||
\(308\) | 1.45093 | + | 0.932456i | 0.0826744 | + | 0.0531316i | ||||
\(309\) | −1.87802 | − | 13.0619i | −0.106837 | − | 0.743066i | ||||
\(310\) | −0.0814627 | − | 0.178378i | −0.00462677 | − | 0.0101312i | ||||
\(311\) | −5.65778 | − | 12.3888i | −0.320823 | − | 0.702505i | 0.678666 | − | 0.734447i | \(-0.262558\pi\) |
−0.999490 | + | 0.0319414i | \(0.989831\pi\) | |||||||
\(312\) | −1.86533 | − | 12.9736i | −0.105603 | − | 0.734488i | ||||
\(313\) | −21.4837 | − | 13.8068i | −1.21433 | − | 0.780404i | −0.232954 | − | 0.972488i | \(-0.574839\pi\) |
−0.981378 | + | 0.192084i | \(0.938475\pi\) | |||||||
\(314\) | 18.6899 | − | 5.48786i | 1.05473 | − | 0.309698i | ||||
\(315\) | 0.0526406 | − | 0.366124i | 0.00296596 | − | 0.0206287i | ||||
\(316\) | −1.67220 | + | 1.92982i | −0.0940687 | + | 0.108561i | ||||
\(317\) | 1.91553 | − | 1.23104i | 0.107587 | − | 0.0691420i | −0.485741 | − | 0.874103i | \(-0.661450\pi\) |
0.593328 | + | 0.804961i | \(0.297814\pi\) | |||||||
\(318\) | −16.1050 | − | 18.5861i | −0.903122 | − | 1.04226i | ||||
\(319\) | −4.63025 | − | 1.35956i | −0.259244 | − | 0.0761209i | ||||
\(320\) | 0.0366213 | − | 0.0801894i | 0.00204719 | − | 0.00448273i | ||||
\(321\) | 53.5475 | 2.98873 | ||||||||
\(322\) | −0.965501 | + | 4.69764i | −0.0538053 | + | 0.261789i | ||||
\(323\) | −2.38789 | −0.132866 | ||||||||
\(324\) | −1.65436 | + | 3.62254i | −0.0919088 | + | 0.201252i | ||||
\(325\) | −23.4046 | − | 6.87220i | −1.29825 | − | 0.381201i | ||||
\(326\) | −7.32638 | − | 8.45509i | −0.405771 | − | 0.468284i | ||||
\(327\) | 2.76767 | − | 1.77867i | 0.153052 | − | 0.0983608i | ||||
\(328\) | −4.84695 | + | 5.59367i | −0.267628 | + | 0.308859i | ||||
\(329\) | −0.470231 | + | 3.27053i | −0.0259247 | + | 0.180310i | ||||
\(330\) | −0.391340 | + | 0.114908i | −0.0215425 | + | 0.00632546i | ||||
\(331\) | −12.0957 | − | 7.77346i | −0.664842 | − | 0.427268i | 0.164221 | − | 0.986424i | \(-0.447489\pi\) |
−0.829063 | + | 0.559156i | \(0.811125\pi\) | |||||||
\(332\) | 1.09693 | + | 7.62934i | 0.0602020 | + | 0.418714i | ||||
\(333\) | 15.4713 | + | 33.8773i | 0.847820 | + | 1.85647i | ||||
\(334\) | −3.99245 | − | 8.74224i | −0.218457 | − | 0.478354i | ||||
\(335\) | −0.0121289 | − | 0.0843584i | −0.000662673 | − | 0.00460899i | ||||
\(336\) | −2.25667 | − | 1.45027i | −0.123111 | − | 0.0791189i | ||||
\(337\) | 15.2277 | − | 4.47124i | 0.829503 | − | 0.243564i | 0.160700 | − | 0.987003i | \(-0.448625\pi\) |
0.668803 | + | 0.743439i | \(0.266807\pi\) | |||||||
\(338\) | 1.54756 | − | 10.7635i | 0.0841761 | − | 0.585458i | ||||
\(339\) | 31.4611 | − | 36.3080i | 1.70873 | − | 1.97198i | ||||
\(340\) | 0.445086 | − | 0.286040i | 0.0241382 | − | 0.0155127i | ||||
\(341\) | 2.51243 | + | 2.89950i | 0.136056 | + | 0.157017i | ||||
\(342\) | −1.60181 | − | 0.470333i | −0.0866158 | − | 0.0254327i | ||||
\(343\) | −0.415415 | + | 0.909632i | −0.0224303 | + | 0.0491155i | ||||
\(344\) | 8.38707 | 0.452200 | ||||||||
\(345\) | −0.690038 | − | 0.900033i | −0.0371504 | − | 0.0484561i | ||||
\(346\) | 3.84537 | 0.206728 | ||||||||
\(347\) | −0.0920910 | + | 0.201651i | −0.00494370 | + | 0.0108252i | −0.912088 | − | 0.409995i | \(-0.865530\pi\) |
0.907144 | + | 0.420820i | \(0.138258\pi\) | |||||||
\(348\) | 7.20154 | + | 2.11456i | 0.386043 | + | 0.113352i | ||||
\(349\) | 13.7682 | + | 15.8894i | 0.736996 | + | 0.850539i | 0.993241 | − | 0.116073i | \(-0.0370308\pi\) |
−0.256245 | + | 0.966612i | \(0.582485\pi\) | |||||||
\(350\) | −4.19973 | + | 2.69900i | −0.224485 | + | 0.144268i | ||||
\(351\) | 10.2643 | − | 11.8456i | 0.547867 | − | 0.632272i | ||||
\(352\) | −0.245454 | + | 1.70717i | −0.0130827 | + | 0.0909924i | ||||
\(353\) | −5.41030 | + | 1.58861i | −0.287961 | + | 0.0845530i | −0.422523 | − | 0.906352i | \(-0.638855\pi\) |
0.134562 | + | 0.990905i | \(0.457037\pi\) | |||||||
\(354\) | −6.00648 | − | 3.86013i | −0.319241 | − | 0.205164i | ||||
\(355\) | 0.167883 | + | 1.16765i | 0.00891031 | + | 0.0619725i | ||||
\(356\) | 1.24857 | + | 2.73398i | 0.0661740 | + | 0.144901i | ||||
\(357\) | −6.68789 | − | 14.6444i | −0.353960 | − | 0.775065i | ||||
\(358\) | −0.00220115 | − | 0.0153093i | −0.000116334 | − | 0.000809122i | ||||
\(359\) | 24.1929 | + | 15.5478i | 1.27685 | + | 0.820582i | 0.990496 | − | 0.137541i | \(-0.0439199\pi\) |
0.286355 | + | 0.958124i | \(0.407556\pi\) | |||||||
\(360\) | 0.354905 | − | 0.104210i | 0.0187052 | − | 0.00549233i | ||||
\(361\) | 2.68145 | − | 18.6499i | 0.141129 | − | 0.981574i | ||||
\(362\) | −16.1139 | + | 18.5964i | −0.846927 | + | 0.977406i | ||||
\(363\) | −18.1105 | + | 11.6389i | −0.950555 | + | 0.610884i | ||||
\(364\) | −3.19973 | − | 3.69269i | −0.167711 | − | 0.193549i | ||||
\(365\) | 0.900800 | + | 0.264499i | 0.0471500 | + | 0.0138445i | ||||
\(366\) | −2.56180 | + | 5.60957i | −0.133908 | + | 0.293217i | ||||
\(367\) | −24.0754 | −1.25672 | −0.628362 | − | 0.777921i | \(-0.716274\pi\) | ||||
−0.628362 | + | 0.777921i | \(0.716274\pi\) | |||||||
\(368\) | −4.67421 | + | 1.07322i | −0.243660 | + | 0.0559454i | ||||
\(369\) | −31.0555 | −1.61669 | ||||||||
\(370\) | −0.325056 | + | 0.711773i | −0.0168988 | + | 0.0370033i | ||||
\(371\) | −8.79655 | − | 2.58290i | −0.456694 | − | 0.134097i | ||||
\(372\) | −3.90764 | − | 4.50966i | −0.202602 | − | 0.233815i | ||||
\(373\) | −6.24798 | + | 4.01533i | −0.323508 | + | 0.207906i | −0.692307 | − | 0.721603i | \(-0.743406\pi\) |
0.368799 | + | 0.929509i | \(0.379769\pi\) | |||||||
\(374\) | −6.77851 | + | 7.82282i | −0.350509 | + | 0.404508i | ||||
\(375\) | 0.336283 | − | 2.33890i | 0.0173656 | − | 0.120780i | ||||
\(376\) | −3.17032 | + | 0.930890i | −0.163497 | + | 0.0480070i | ||||
\(377\) | 11.5010 | + | 7.39121i | 0.592329 | + | 0.380667i | ||||
\(378\) | −0.456526 | − | 3.17521i | −0.0234812 | − | 0.163315i | ||||
\(379\) | 11.7325 | + | 25.6905i | 0.602656 | + | 1.31963i | 0.927485 | + | 0.373860i | \(0.121966\pi\) |
−0.324829 | + | 0.945773i | \(0.605307\pi\) | |||||||
\(380\) | −0.0145708 | − | 0.0319056i | −0.000747465 | − | 0.00163672i | ||||
\(381\) | 3.51568 | + | 24.4521i | 0.180114 | + | 1.25272i | ||||
\(382\) | −6.44502 | − | 4.14196i | −0.329756 | − | 0.211921i | ||||
\(383\) | 10.0159 | − | 2.94094i | 0.511789 | − | 0.150275i | −0.0156338 | − | 0.999878i | \(-0.504977\pi\) |
0.527423 | + | 0.849603i | \(0.323158\pi\) | |||||||
\(384\) | 0.381761 | − | 2.65520i | 0.0194816 | − | 0.135498i | ||||
\(385\) | −0.0995681 | + | 0.114908i | −0.00507446 | + | 0.00585624i | ||||
\(386\) | −15.2735 | + | 9.81570i | −0.777402 | + | 0.499606i | ||||
\(387\) | 23.0451 | + | 26.5955i | 1.17145 | + | 1.35192i | ||||
\(388\) | −2.69007 | − | 0.789875i | −0.136567 | − | 0.0400998i | ||||
\(389\) | 3.49163 | − | 7.64561i | 0.177033 | − | 0.387648i | −0.800226 | − | 0.599699i | \(-0.795287\pi\) |
0.977259 | + | 0.212051i | \(0.0680143\pi\) | |||||||
\(390\) | 1.15546 | 0.0585092 | ||||||||
\(391\) | −27.0816 | − | 9.74787i | −1.36958 | − | 0.492971i | ||||
\(392\) | −1.00000 | −0.0505076 | ||||||||
\(393\) | −9.68284 | + | 21.2025i | −0.488435 | + | 1.06952i | ||||
\(394\) | 5.59519 | + | 1.64290i | 0.281881 | + | 0.0827679i | ||||
\(395\) | −0.147414 | − | 0.170125i | −0.00741722 | − | 0.00855993i | ||||
\(396\) | −6.08788 | + | 3.91244i | −0.305927 | + | 0.196608i | ||||
\(397\) | −7.90998 | + | 9.12860i | −0.396990 | + | 0.458151i | −0.918691 | − | 0.394977i | \(-0.870752\pi\) |
0.521700 | + | 0.853129i | \(0.325298\pi\) | |||||||
\(398\) | −2.44678 | + | 17.0177i | −0.122646 | + | 0.853020i | ||||
\(399\) | −1.02408 | + | 0.300696i | −0.0512679 | + | 0.0150536i | ||||
\(400\) | −4.19973 | − | 2.69900i | −0.209986 | − | 0.134950i | ||||
\(401\) | −0.553587 | − | 3.85028i | −0.0276448 | − | 0.192274i | 0.971319 | − | 0.237779i | \(-0.0764194\pi\) |
−0.998964 | + | 0.0455050i | \(0.985510\pi\) | |||||||
\(402\) | −1.07732 | − | 2.35899i | −0.0537316 | − | 0.117656i | ||||
\(403\) | −4.51514 | − | 9.88679i | −0.224915 | − | 0.492496i | ||||
\(404\) | −1.93038 | − | 13.4261i | −0.0960401 | − | 0.667974i | ||||
\(405\) | −0.295342 | − | 0.189805i | −0.0146757 | − | 0.00943149i | ||||
\(406\) | 2.68463 | − | 0.788278i | 0.133236 | − | 0.0391216i | ||||
\(407\) | 2.17868 | − | 15.1531i | 0.107993 | − | 0.751110i | ||||
\(408\) | 10.5428 | − | 12.1670i | 0.521946 | − | 0.602358i | ||||
\(409\) | −26.3755 | + | 16.9505i | −1.30419 | + | 0.838149i | −0.993661 | − | 0.112416i | \(-0.964141\pi\) |
−0.310524 | + | 0.950565i | \(0.600505\pi\) | |||||||
\(410\) | −0.427287 | − | 0.493116i | −0.0211022 | − | 0.0243532i | ||||
\(411\) | 0.276945 | + | 0.0813185i | 0.0136607 | + | 0.00401114i | ||||
\(412\) | 2.04358 | − | 4.47481i | 0.100680 | − | 0.220458i | ||||
\(413\) | −2.66166 | −0.130972 | ||||||||
\(414\) | −16.2465 | − | 11.8731i | −0.798470 | − | 0.583529i | ||||
\(415\) | −0.679488 | −0.0333547 | ||||||||
\(416\) | 2.02977 | − | 4.44457i | 0.0995176 | − | 0.217913i | ||||
\(417\) | 46.5964 | + | 13.6819i | 2.28183 | + | 0.670007i | ||||
\(418\) | 0.449384 | + | 0.518617i | 0.0219801 | + | 0.0253664i | ||||
\(419\) | 24.0605 | − | 15.4628i | 1.17543 | − | 0.755406i | 0.200893 | − | 0.979613i | \(-0.435616\pi\) |
0.974542 | + | 0.224207i | \(0.0719792\pi\) | |||||||
\(420\) | 0.154861 | − | 0.178719i | 0.00755643 | − | 0.00872059i | ||||
\(421\) | −3.90013 | + | 27.1260i | −0.190081 | + | 1.32204i | 0.641709 | + | 0.766948i | \(0.278226\pi\) |
−0.831789 | + | 0.555091i | \(0.812683\pi\) | |||||||
\(422\) | −14.9791 | + | 4.39826i | −0.729171 | + | 0.214104i | ||||
\(423\) | −11.6629 | − | 7.49531i | −0.567071 | − | 0.364434i | ||||
\(424\) | −1.30473 | − | 9.07459i | −0.0633633 | − | 0.440701i | ||||
\(425\) | −12.4464 | − | 27.2537i | −0.603737 | − | 1.32200i | ||||
\(426\) | 14.9117 | + | 32.6521i | 0.722476 | + | 1.58200i | ||||
\(427\) | 0.327169 | + | 2.27551i | 0.0158328 | + | 0.110120i | ||||
\(428\) | 16.7929 | + | 10.7921i | 0.811714 | + | 0.521657i | ||||
\(429\) | −21.6904 | + | 6.36886i | −1.04722 | + | 0.307492i | ||||
\(430\) | −0.105223 | + | 0.731844i | −0.00507432 | + | 0.0352927i | ||||
\(431\) | −22.8342 | + | 26.3520i | −1.09988 | + | 1.26933i | −0.139629 | + | 0.990204i | \(0.544591\pi\) |
−0.960254 | + | 0.279129i | \(0.909954\pi\) | |||||||
\(432\) | 2.69862 | − | 1.73430i | 0.129838 | − | 0.0834416i | ||||
\(433\) | 4.48216 | + | 5.17268i | 0.215399 | + | 0.248583i | 0.853158 | − | 0.521652i | \(-0.174684\pi\) |
−0.637760 | + | 0.770235i | \(0.720139\pi\) | |||||||
\(434\) | −2.13436 | − | 0.626704i | −0.102452 | − | 0.0300827i | ||||
\(435\) | −0.274864 | + | 0.601867i | −0.0131787 | + | 0.0288573i | ||||
\(436\) | 1.22644 | 0.0587358 | ||||||||
\(437\) | −0.895172 | + | 1.68515i | −0.0428219 | + | 0.0806114i | ||||
\(438\) | 28.5677 | 1.36502 | ||||||||
\(439\) | −7.29847 | + | 15.9814i | −0.348337 | + | 0.762752i | 0.651654 | + | 0.758516i | \(0.274075\pi\) |
−0.999991 | + | 0.00423547i | \(0.998652\pi\) | |||||||
\(440\) | −0.145886 | − | 0.0428359i | −0.00695483 | − | 0.00204212i | ||||
\(441\) | −2.74769 | − | 3.17101i | −0.130843 | − | 0.151000i | ||||
\(442\) | 24.6693 | − | 15.8540i | 1.17340 | − | 0.754098i | ||||
\(443\) | −6.72262 | + | 7.75832i | −0.319401 | + | 0.368609i | −0.892633 | − | 0.450785i | \(-0.851144\pi\) |
0.573231 | + | 0.819394i | \(0.305690\pi\) | |||||||
\(444\) | −3.38856 | + | 23.5680i | −0.160814 | + | 1.11849i | ||||
\(445\) | −0.254228 | + | 0.0746481i | −0.0120516 | + | 0.00353866i | ||||
\(446\) | −21.2879 | − | 13.6809i | −1.00801 | − | 0.647809i | ||||
\(447\) | 3.93030 | + | 27.3359i | 0.185897 | + | 1.29294i | ||||
\(448\) | −0.415415 | − | 0.909632i | −0.0196265 | − | 0.0429761i | ||||
\(449\) | −2.51988 | − | 5.51778i | −0.118921 | − | 0.260400i | 0.840805 | − | 0.541338i | \(-0.182082\pi\) |
−0.959726 | + | 0.280938i | \(0.909355\pi\) | |||||||
\(450\) | −2.98101 | − | 20.7334i | −0.140526 | − | 0.977382i | ||||
\(451\) | 10.7390 | + | 6.90157i | 0.505682 | + | 0.324982i | ||||
\(452\) | 17.1840 | − | 5.04569i | 0.808269 | − | 0.237329i | ||||
\(453\) | −5.39351 | + | 37.5127i | −0.253409 | + | 1.76250i | ||||
\(454\) | −12.2638 | + | 14.1532i | −0.575568 | + | 0.664241i | ||||
\(455\) | 0.362362 | − | 0.232876i | 0.0169878 | − | 0.0109174i | ||||
\(456\) | −0.698939 | − | 0.806618i | −0.0327308 | − | 0.0377734i | ||||
\(457\) | 17.1721 | + | 5.04219i | 0.803279 | + | 0.235864i | 0.657501 | − | 0.753454i | \(-0.271613\pi\) |
0.145777 | + | 0.989317i | \(0.453432\pi\) | |||||||
\(458\) | −1.36164 | + | 2.98157i | −0.0636250 | + | 0.139319i | ||||
\(459\) | 19.2522 | 0.898618 | ||||||||
\(460\) | −0.0350055 | − | 0.421329i | −0.00163214 | − | 0.0196446i | ||||
\(461\) | 42.2374 | 1.96719 | 0.983595 | − | 0.180390i | \(-0.0577359\pi\) | ||||
0.983595 | + | 0.180390i | \(0.0577359\pi\) | |||||||
\(462\) | −1.92195 | + | 4.20849i | −0.0894173 | + | 0.195797i | ||||
\(463\) | −35.5864 | − | 10.4491i | −1.65384 | − | 0.485611i | −0.684025 | − | 0.729458i | \(-0.739772\pi\) |
−0.969814 | + | 0.243847i | \(0.921590\pi\) | |||||||
\(464\) | 1.83228 | + | 2.11456i | 0.0850614 | + | 0.0981661i | ||||
\(465\) | 0.442532 | − | 0.284398i | 0.0205219 | − | 0.0131886i | ||||
\(466\) | −18.8848 | + | 21.7943i | −0.874823 | + | 1.00960i | ||||
\(467\) | 3.22529 | − | 22.4324i | 0.149249 | − | 1.03805i | −0.768205 | − | 0.640204i | \(-0.778850\pi\) |
0.917453 | − | 0.397843i | \(-0.130241\pi\) | |||||||
\(468\) | 19.6710 | − | 5.77591i | 0.909290 | − | 0.266992i | ||||
\(469\) | −0.813292 | − | 0.522671i | −0.0375544 | − | 0.0241347i | ||||
\(470\) | −0.0414537 | − | 0.288317i | −0.00191212 | − | 0.0132991i | ||||
\(471\) | 21.7065 | + | 47.5305i | 1.00018 | + | 2.19009i | ||||
\(472\) | −1.10569 | − | 2.42113i | −0.0508937 | − | 0.111442i | ||||
\(473\) | −2.05864 | − | 14.3181i | −0.0946563 | − | 0.658349i | ||||
\(474\) | −5.76245 | − | 3.70330i | −0.264678 | − | 0.170098i | ||||
\(475\) | −1.90584 | + | 0.559604i | −0.0874458 | + | 0.0256764i | ||||
\(476\) | 0.854114 | − | 5.94049i | 0.0391483 | − | 0.272282i | ||||
\(477\) | 25.1906 | − | 29.0715i | 1.15340 | − | 1.33109i | ||||
\(478\) | 16.4667 | − | 10.5825i | 0.753169 | − | 0.484032i | ||||
\(479\) | 9.48762 | + | 10.9493i | 0.433500 | + | 0.500286i | 0.929902 | − | 0.367807i | \(-0.119891\pi\) |
−0.496402 | + | 0.868093i | \(0.665346\pi\) | |||||||
\(480\) | 0.226900 | + | 0.0666238i | 0.0103565 | + | 0.00304095i | ||||
\(481\) | −18.0165 | + | 39.4507i | −0.821482 | + | 1.79879i | ||||
\(482\) | −5.82150 | −0.265162 | ||||||||
\(483\) | −12.8418 | − | 0.770228i | −0.584321 | − | 0.0350466i | ||||
\(484\) | −8.02533 | −0.364788 | ||||||||
\(485\) | 0.102673 | − | 0.224822i | 0.00466213 | − | 0.0102086i | ||||
\(486\) | −19.4839 | − | 5.72099i | −0.883808 | − | 0.259509i | ||||
\(487\) | 1.00264 | + | 1.15711i | 0.0454341 | + | 0.0524337i | 0.778012 | − | 0.628250i | \(-0.216228\pi\) |
−0.732578 | + | 0.680683i | \(0.761683\pi\) | |||||||
\(488\) | −1.93397 | + | 1.24289i | −0.0875467 | + | 0.0562628i | ||||
\(489\) | 19.6531 | − | 22.6808i | 0.888742 | − | 1.02566i | ||||
\(490\) | 0.0125459 | − | 0.0872586i | 0.000566766 | − | 0.00394194i | ||||
\(491\) | −32.8593 | + | 9.64835i | −1.48292 | + | 0.435424i | −0.920274 | − | 0.391275i | \(-0.872034\pi\) |
−0.562644 | + | 0.826699i | \(0.690216\pi\) | |||||||
\(492\) | −16.7027 | − | 10.7342i | −0.753017 | − | 0.483934i | ||||
\(493\) | 2.38978 | + | 16.6213i | 0.107630 | + | 0.748586i | ||||
\(494\) | −0.807599 | − | 1.76840i | −0.0363356 | − | 0.0795639i | ||||
\(495\) | −0.265016 | − | 0.580305i | −0.0119116 | − | 0.0260828i | ||||
\(496\) | −0.316574 | − | 2.20182i | −0.0142146 | − | 0.0988647i | ||||
\(497\) | 11.2572 | + | 7.23459i | 0.504956 | + | 0.324516i | ||||
\(498\) | −19.8387 | + | 5.82516i | −0.888992 | + | 0.261032i | ||||
\(499\) | 3.59666 | − | 25.0153i | 0.161009 | − | 1.11984i | −0.735729 | − | 0.677276i | \(-0.763160\pi\) |
0.896737 | − | 0.442563i | \(-0.145931\pi\) | |||||||
\(500\) | 0.576850 | − | 0.665720i | 0.0257975 | − | 0.0297719i | ||||
\(501\) | 21.6883 | − | 13.9382i | 0.968960 | − | 0.622713i | ||||
\(502\) | 10.2875 | + | 11.8724i | 0.459153 | + | 0.529891i | ||||
\(503\) | −3.30909 | − | 0.971636i | −0.147545 | − | 0.0433231i | 0.207126 | − | 0.978314i | \(-0.433589\pi\) |
−0.354671 | + | 0.934991i | \(0.615407\pi\) | |||||||
\(504\) | 1.74302 | − | 3.81667i | 0.0776401 | − | 0.170008i | ||||
\(505\) | 1.19576 | 0.0532107 | ||||||||
\(506\) | 2.97947 | + | 7.71623i | 0.132453 | + | 0.343028i | ||||
\(507\) | 29.1701 | 1.29549 | ||||||||
\(508\) | −3.82561 | + | 8.37691i | −0.169734 | + | 0.371665i | ||||
\(509\) | −2.31360 | − | 0.679336i | −0.102549 | − | 0.0301110i | 0.230056 | − | 0.973177i | \(-0.426109\pi\) |
−0.332604 | + | 0.943066i | \(0.607927\pi\) | |||||||
\(510\) | 0.929409 | + | 1.07260i | 0.0411549 | + | 0.0474953i | ||||
\(511\) | 8.95905 | − | 5.75763i | 0.396325 | − | 0.254703i | ||||
\(512\) | 0.654861 | − | 0.755750i | 0.0289410 | − | 0.0333997i | ||||
\(513\) | 0.181641 | − | 1.26334i | 0.00801966 | − | 0.0557780i | ||||
\(514\) | 24.2425 | − | 7.11825i | 1.06929 | − | 0.313973i | ||||
\(515\) | 0.364827 | + | 0.234460i | 0.0160762 | + | 0.0103315i | ||||
\(516\) | 3.20185 | + | 22.2694i | 0.140954 | + | 0.980354i | ||||
\(517\) | 2.36735 | + | 5.18378i | 0.104116 | + | 0.227982i | ||||
\(518\) | 3.68728 | + | 8.07402i | 0.162010 | + | 0.354752i | ||||
\(519\) | 1.46801 | + | 10.2102i | 0.0644385 | + | 0.448180i | ||||
\(520\) | 0.362362 | + | 0.232876i | 0.0158906 | + | 0.0102123i | ||||
\(521\) | 18.8051 | − | 5.52168i | 0.823868 | − | 0.241909i | 0.157487 | − | 0.987521i | \(-0.449661\pi\) |
0.666381 | + | 0.745612i | \(0.267843\pi\) | |||||||
\(522\) | −1.67075 | + | 11.6203i | −0.0731268 | + | 0.508608i | ||||
\(523\) | 9.42536 | − | 10.8774i | 0.412142 | − | 0.475637i | −0.511285 | − | 0.859411i | \(-0.670830\pi\) |
0.923427 | + | 0.383774i | \(0.125376\pi\) | |||||||
\(524\) | −7.30982 | + | 4.69774i | −0.319331 | + | 0.205222i | ||||
\(525\) | −8.76969 | − | 10.1208i | −0.382741 | − | 0.441706i | ||||
\(526\) | −17.3398 | − | 5.09141i | −0.756050 | − | 0.221996i | ||||
\(527\) | 5.54591 | − | 12.1439i | 0.241584 | − | 0.528995i | ||||
\(528\) | −4.62658 | −0.201346 | ||||||||
\(529\) | −17.0315 | + | 15.4573i | −0.740498 | + | 0.672058i | ||||
\(530\) | 0.808206 | 0.0351062 | ||||||||
\(531\) | 4.63932 | − | 10.1587i | 0.201329 | − | 0.440850i | ||||
\(532\) | −0.381761 | − | 0.112095i | −0.0165514 | − | 0.00485994i | ||||
\(533\) | −23.6828 | − | 27.3314i | −1.02581 | − | 1.18385i | ||||
\(534\) | −6.78263 | + | 4.35893i | −0.293513 | + | 0.188629i | ||||
\(535\) | −1.15239 | + | 1.32993i | −0.0498220 | + | 0.0574977i | ||||
\(536\) | 0.137585 | − | 0.956922i | 0.00594275 | − | 0.0413327i | ||||
\(537\) | 0.0398090 | − | 0.0116890i | 0.00171789 | − | 0.000504417i | ||||
\(538\) | −7.07113 | − | 4.54434i | −0.304858 | − | 0.195920i | ||||
\(539\) | 0.245454 | + | 1.70717i | 0.0105724 | + | 0.0735330i | ||||
\(540\) | 0.117476 | + | 0.257237i | 0.00505536 | + | 0.0110697i | ||||
\(541\) | −10.7128 | − | 23.4577i | −0.460577 | − | 1.00852i | −0.987356 | − | 0.158521i | \(-0.949328\pi\) |
0.526778 | − | 0.850003i | \(-0.323400\pi\) | |||||||
\(542\) | 3.78131 | + | 26.2996i | 0.162421 | + | 1.12966i | ||||
\(543\) | −55.5289 | − | 35.6863i | −2.38297 | − | 1.53144i | ||||
\(544\) | 5.75848 | − | 1.69084i | 0.246893 | − | 0.0724942i | ||||
\(545\) | −0.0153868 | + | 0.107017i | −0.000659098 | + | 0.00458412i | ||||
\(546\) | 8.58330 | − | 9.90565i | 0.367331 | − | 0.423923i | ||||
\(547\) | 19.4053 | − | 12.4710i | 0.829709 | − | 0.533222i | −0.0554764 | − | 0.998460i | \(-0.517668\pi\) |
0.885185 | + | 0.465238i | \(0.154031\pi\) | |||||||
\(548\) | 0.0704628 | + | 0.0813185i | 0.00301002 | + | 0.00347375i | ||||
\(549\) | −9.25516 | − | 2.71756i | −0.395000 | − | 0.115983i | ||||
\(550\) | −3.57681 | + | 7.83213i | −0.152516 | + | 0.333963i | ||||
\(551\) | 1.11325 | 0.0474259 | ||||||||
\(552\) | −4.63404 | − | 12.0013i | −0.197238 | − | 0.510807i | ||||
\(553\) | −2.55352 | −0.108587 | ||||||||
\(554\) | 11.7979 | − | 25.8338i | 0.501245 | − | 1.09757i | ||||
\(555\) | −2.01399 | − | 0.591362i | −0.0854893 | − | 0.0251019i | ||||
\(556\) | 11.8555 | + | 13.6819i | 0.502783 | + | 0.580243i | ||||
\(557\) | −2.97368 | + | 1.91107i | −0.125999 | + | 0.0809745i | −0.602122 | − | 0.798404i | \(-0.705678\pi\) |
0.476123 | + | 0.879379i | \(0.342042\pi\) | |||||||
\(558\) | 6.11214 | − | 7.05379i | 0.258748 | − | 0.298611i | ||||
\(559\) | −5.83210 | + | 40.5631i | −0.246671 | + | 1.71564i | ||||
\(560\) | 0.0845850 | − | 0.0248364i | 0.00357437 | − | 0.00104953i | ||||
\(561\) | −23.3589 | − | 15.0119i | −0.986215 | − | 0.633802i | ||||
\(562\) | 0.732418 | + | 5.09408i | 0.0308952 | + | 0.214881i | ||||
\(563\) | 14.4141 | + | 31.5625i | 0.607482 | + | 1.33020i | 0.924283 | + | 0.381709i | \(0.124664\pi\) |
−0.316800 | + | 0.948492i | \(0.602609\pi\) | |||||||
\(564\) | −3.68201 | − | 8.06247i | −0.155040 | − | 0.339491i | ||||
\(565\) | 0.224691 | + | 1.56276i | 0.00945281 | + | 0.0657458i | ||||
\(566\) | −4.31081 | − | 2.77039i | −0.181197 | − | 0.116448i | ||||
\(567\) | −3.82111 | + | 1.12198i | −0.160471 | + | 0.0471187i | ||||
\(568\) | −1.90439 | + | 13.2453i | −0.0799063 | + | 0.555761i | ||||
\(569\) | −7.13645 | + | 8.23591i | −0.299176 | + | 0.345267i | −0.885356 | − | 0.464913i | \(-0.846085\pi\) |
0.586181 | + | 0.810180i | \(0.300631\pi\) | |||||||
\(570\) | 0.0791532 | − | 0.0508687i | 0.00331536 | − | 0.00213065i | ||||
\(571\) | 5.20302 | + | 6.00460i | 0.217739 | + | 0.251285i | 0.854102 | − | 0.520105i | \(-0.174107\pi\) |
−0.636363 | + | 0.771390i | \(0.719562\pi\) | |||||||
\(572\) | −8.08585 | − | 2.37422i | −0.338086 | − | 0.0992711i | ||||
\(573\) | 8.53730 | − | 18.6941i | 0.356651 | − | 0.780956i | ||||
\(574\) | −7.40149 | −0.308932 | ||||||||
\(575\) | −23.8989 | − | 1.43342i | −0.996655 | − | 0.0597777i | ||||
\(576\) | 4.19584 | 0.174827 | ||||||||
\(577\) | 15.2790 | − | 33.4563i | 0.636071 | − | 1.39280i | −0.267162 | − | 0.963652i | \(-0.586086\pi\) |
0.903233 | − | 0.429150i | \(-0.141187\pi\) | |||||||
\(578\) | 18.2486 | + | 5.35827i | 0.759041 | + | 0.222875i | ||||
\(579\) | −31.8935 | − | 36.8071i | −1.32545 | − | 1.52965i | ||||
\(580\) | −0.207501 | + | 0.133353i | −0.00861602 | + | 0.00553718i | ||||
\(581\) | −5.04753 | + | 5.82516i | −0.209407 | + | 0.241668i | ||||
\(582\) | 1.07032 | − | 7.44421i | 0.0443660 | − | 0.308573i | ||||
\(583\) | −15.1716 | + | 4.45479i | −0.628344 | + | 0.184498i | ||||
\(584\) | 8.95905 | + | 5.75763i | 0.370728 | + | 0.238253i | ||||
\(585\) | 0.257209 | + | 1.78892i | 0.0106343 | + | 0.0739629i | ||||
\(586\) | 9.64457 | + | 21.1187i | 0.398414 | + | 0.872404i | ||||
\(587\) | 3.82011 | + | 8.36488i | 0.157673 | + | 0.345255i | 0.971938 | − | 0.235238i | \(-0.0755869\pi\) |
−0.814265 | + | 0.580493i | \(0.802860\pi\) | |||||||
\(588\) | −0.381761 | − | 2.65520i | −0.0157435 | − | 0.109499i | ||||
\(589\) | −0.744563 | − | 0.478501i | −0.0306792 | − | 0.0197163i | ||||
\(590\) | 0.225136 | − | 0.0661060i | 0.00926872 | − | 0.00272154i | ||||
\(591\) | −2.22620 | + | 15.4835i | −0.0915736 | + | 0.636908i | ||||
\(592\) | −5.81264 | + | 6.70814i | −0.238898 | + | 0.275703i | ||||
\(593\) | 31.7484 | − | 20.4035i | 1.30375 | − | 0.837870i | 0.310136 | − | 0.950692i | \(-0.399625\pi\) |
0.993615 | + | 0.112822i | \(0.0359890\pi\) | |||||||
\(594\) | −3.62313 | − | 4.18132i | −0.148659 | − | 0.171561i | ||||
\(595\) | 0.507644 | + | 0.149058i | 0.0208114 | + | 0.00611077i | ||||
\(596\) | −4.27678 | + | 9.36485i | −0.175184 | + | 0.383599i | ||||
\(597\) | −46.1195 | −1.88755 | ||||||||
\(598\) | −1.94021 | − | 23.3526i | −0.0793412 | − | 0.954957i | ||||
\(599\) | 22.3867 | 0.914696 | 0.457348 | − | 0.889288i | \(-0.348799\pi\) | ||||
0.457348 | + | 0.889288i | \(0.348799\pi\) | |||||||
\(600\) | 5.56311 | − | 12.1815i | 0.227113 | − | 0.497308i | ||||
\(601\) | 27.6655 | + | 8.12331i | 1.12850 | + | 0.331357i | 0.792117 | − | 0.610369i | \(-0.208979\pi\) |
0.336381 | + | 0.941726i | \(0.390797\pi\) | |||||||
\(602\) | 5.49236 | + | 6.33852i | 0.223852 | + | 0.258339i | ||||
\(603\) | 3.41245 | − | 2.19305i | 0.138966 | − | 0.0893078i | ||||
\(604\) | −9.25187 | + | 10.6772i | −0.376453 | + | 0.434450i | ||||
\(605\) | 0.100685 | − | 0.700279i | 0.00409342 | − | 0.0284704i | ||||
\(606\) | 34.9121 | − | 10.2511i | 1.41821 | − | 0.416423i | ||||
\(607\) | −6.39989 | − | 4.11296i | −0.259763 | − | 0.166940i | 0.404277 | − | 0.914637i | \(-0.367523\pi\) |
−0.664040 | + | 0.747697i | \(0.731160\pi\) | |||||||
\(608\) | −0.0566239 | − | 0.393828i | −0.00229640 | − | 0.0159718i | ||||
\(609\) | 3.11792 | + | 6.82730i | 0.126345 | + | 0.276656i | ||||
\(610\) | −0.0841892 | − | 0.184349i | −0.00340872 | − | 0.00746406i | ||||
\(611\) | −2.29761 | − | 15.9802i | −0.0929513 | − | 0.646490i | ||||
\(612\) | 21.1842 | + | 13.6143i | 0.856320 | + | 0.550324i | ||||
\(613\) | −37.4740 | + | 11.0034i | −1.51356 | + | 0.444422i | −0.929973 | − | 0.367627i | \(-0.880170\pi\) |
−0.583589 | + | 0.812049i | \(0.698352\pi\) | |||||||
\(614\) | −1.59012 | + | 11.0595i | −0.0641719 | + | 0.446325i | ||||
\(615\) | 1.14620 | − | 1.32279i | 0.0462193 | − | 0.0533399i | ||||
\(616\) | −1.45093 | + | 0.932456i | −0.0584596 | + | 0.0375697i | ||||
\(617\) | −28.4158 | − | 32.7935i | −1.14398 | − | 1.32022i | −0.939974 | − | 0.341247i | \(-0.889151\pi\) |
−0.204001 | − | 0.978971i | \(-0.565395\pi\) | |||||||
\(618\) | 12.6617 | + | 3.71780i | 0.509327 | + | 0.149552i | ||||
\(619\) | −2.22299 | + | 4.86768i | −0.0893496 | + | 0.195648i | −0.949031 | − | 0.315182i | \(-0.897935\pi\) |
0.859682 | + | 0.510830i | \(0.170662\pi\) | |||||||
\(620\) | 0.196100 | 0.00787555 | ||||||||
\(621\) | 7.21727 | − | 13.5864i | 0.289619 | − | 0.545202i | ||||
\(622\) | 13.6196 | 0.546096 | ||||||||
\(623\) | −1.24857 | + | 2.73398i | −0.0500228 | + | 0.109535i | ||||
\(624\) | 12.5761 | + | 3.69269i | 0.503448 | + | 0.147826i | ||||
\(625\) | −16.2952 | − | 18.8057i | −0.651809 | − | 0.752227i | ||||
\(626\) | 21.4837 | − | 13.8068i | 0.858662 | − | 0.551829i | ||||
\(627\) | −1.20548 | + | 1.39119i | −0.0481421 | + | 0.0555589i | ||||
\(628\) | −2.77215 | + | 19.2807i | −0.110621 | + | 0.769384i | ||||
\(629\) | −51.1130 | + | 15.0081i | −2.03801 | + | 0.598414i | ||||
\(630\) | 0.311170 | + | 0.199977i | 0.0123973 | + | 0.00796727i | ||||
\(631\) | 1.59087 | + | 11.0648i | 0.0633317 | + | 0.440481i | 0.996674 | + | 0.0814935i | \(0.0259690\pi\) |
−0.933342 | + | 0.358988i | \(0.883122\pi\) | |||||||
\(632\) | −1.06077 | − | 2.32276i | −0.0421952 | − | 0.0923946i | ||||
\(633\) | −17.3967 | − | 38.0935i | −0.691457 | − | 1.51408i | ||||
\(634\) | 0.324051 | + | 2.25382i | 0.0128697 | + | 0.0895107i | ||||
\(635\) | −0.682962 | − | 0.438913i | −0.0271025 | − | 0.0174177i | ||||
\(636\) | 23.5968 | − | 6.92864i | 0.935674 | − | 0.274739i | ||||
\(637\) | 0.695368 | − | 4.83639i | 0.0275515 | − | 0.191625i | ||||
\(638\) | 3.16018 | − | 3.64704i | 0.125113 | − | 0.144388i | ||||
\(639\) | −47.2336 | + | 30.3552i | −1.86853 | + | 1.20083i | ||||
\(640\) | 0.0577299 | + | 0.0666238i | 0.00228197 | + | 0.00263354i | ||||
\(641\) | 47.6387 | + | 13.9880i | 1.88161 | + | 0.552492i | 0.996137 | + | 0.0878099i | \(0.0279868\pi\) |
0.885478 | + | 0.464682i | \(0.153831\pi\) | |||||||
\(642\) | −22.2444 | + | 48.7085i | −0.877917 | + | 1.92237i | ||||
\(643\) | −11.8828 | −0.468612 | −0.234306 | − | 0.972163i | \(-0.575282\pi\) | ||||
−0.234306 | + | 0.972163i | \(0.575282\pi\) | |||||||
\(644\) | −3.87204 | − | 2.82972i | −0.152580 | − | 0.111507i | ||||
\(645\) | −1.98336 | −0.0780949 | ||||||||
\(646\) | 0.991967 | − | 2.17210i | 0.0390284 | − | 0.0854603i | ||||
\(647\) | −38.9048 | − | 11.4235i | −1.52951 | − | 0.449103i | −0.594607 | − | 0.804017i | \(-0.702692\pi\) |
−0.934899 | + | 0.354913i | \(0.884510\pi\) | |||||||
\(648\) | −2.60793 | − | 3.00972i | −0.102449 | − | 0.118233i | ||||
\(649\) | −3.86188 | + | 2.48188i | −0.151592 | + | 0.0974224i | ||||
\(650\) | 15.9738 | − | 18.4347i | 0.626543 | − | 0.723070i | ||||
\(651\) | 0.849212 | − | 5.90640i | 0.0332832 | − | 0.231490i | ||||
\(652\) | 10.7345 | − | 3.15194i | 0.420396 | − | 0.123439i | ||||
\(653\) | 2.86730 | + | 1.84270i | 0.112206 | + | 0.0721104i | 0.595540 | − | 0.803325i | \(-0.296938\pi\) |
−0.483334 | + | 0.875436i | \(0.660574\pi\) | |||||||
\(654\) | 0.468206 | + | 3.25645i | 0.0183083 | + | 0.127337i | ||||
\(655\) | −0.318210 | − | 0.696782i | −0.0124335 | − | 0.0272255i | ||||
\(656\) | −3.07469 | − | 6.73263i | −0.120047 | − | 0.262865i | ||||
\(657\) | 6.35923 | + | 44.2294i | 0.248097 | + | 1.72555i | ||||
\(658\) | −2.77964 | − | 1.78636i | −0.108362 | − | 0.0696398i | ||||
\(659\) | 39.1841 | − | 11.5055i | 1.52640 | − | 0.448191i | 0.592452 | − | 0.805606i | \(-0.298160\pi\) |
0.933946 | + | 0.357415i | \(0.116342\pi\) | |||||||
\(660\) | 0.0580447 | − | 0.403709i | 0.00225938 | − | 0.0157144i | ||||
\(661\) | −29.8715 | + | 34.4735i | −1.16186 | + | 1.34086i | −0.232108 | + | 0.972690i | \(0.574562\pi\) |
−0.929757 | + | 0.368173i | \(0.879983\pi\) | |||||||
\(662\) | 12.0957 | − | 7.77346i | 0.470114 | − | 0.302124i | ||||
\(663\) | 51.5134 | + | 59.4496i | 2.00061 | + | 2.30883i | ||||
\(664\) | −7.39557 | − | 2.17154i | −0.287004 | − | 0.0842720i | ||||
\(665\) | 0.0145708 | − | 0.0319056i | 0.000565031 | − | 0.00123724i | ||||
\(666\) | −37.2429 | −1.44313 | ||||||||
\(667\) | 12.6256 | + | 4.54451i | 0.488865 | + | 0.175964i | ||||
\(668\) | 9.61074 | 0.371851 | ||||||||
\(669\) | 28.1987 | − | 61.7465i | 1.09022 | − | 2.38726i | ||||
\(670\) | 0.0817736 | + | 0.0240109i | 0.00315919 | + | 0.000927622i | ||||
\(671\) | 2.59652 | + | 2.99654i | 0.100237 | + | 0.115680i | ||||
\(672\) | 2.25667 | − | 1.45027i | 0.0870529 | − | 0.0559455i | ||||
\(673\) | 17.7037 | − | 20.4312i | 0.682427 | − | 0.787563i | −0.303839 | − | 0.952723i | \(-0.598269\pi\) |
0.986267 | + | 0.165160i | \(0.0528141\pi\) | |||||||
\(674\) | −2.25861 | + | 15.7090i | −0.0869984 | + | 0.605087i | ||||
\(675\) | 15.3657 | − | 4.51177i | 0.591425 | − | 0.173658i | ||||
\(676\) | 9.14795 | + | 5.87903i | 0.351844 | + | 0.226117i | ||||
\(677\) | −5.08935 | − | 35.3972i | −0.195600 | − | 1.36042i | −0.816867 | − | 0.576826i | \(-0.804291\pi\) |
0.621267 | − | 0.783599i | \(-0.286618\pi\) | |||||||
\(678\) | 19.9575 | + | 43.7009i | 0.766464 | + | 1.67832i | ||||
\(679\) | −1.16467 | − | 2.55027i | −0.0446960 | − | 0.0978705i | ||||
\(680\) | 0.0752952 | + | 0.523690i | 0.00288744 | + | 0.0200826i | ||||
\(681\) | −42.2614 | − | 27.1597i | −1.61946 | − | 1.04076i | ||||
\(682\) | −3.68118 | + | 1.08089i | −0.140960 | + | 0.0413894i | ||||
\(683\) | −0.256399 | + | 1.78329i | −0.00981082 | + | 0.0682358i | −0.994139 | − | 0.108112i | \(-0.965519\pi\) |
0.984328 | + | 0.176348i | \(0.0564285\pi\) | |||||||
\(684\) | 1.09325 | − | 1.26167i | 0.0418013 | − | 0.0482412i | ||||
\(685\) | −0.00797976 | + | 0.00512828i | −0.000304891 | + | 0.000195941i | ||||
\(686\) | −0.654861 | − | 0.755750i | −0.0250027 | − | 0.0288547i | ||||
\(687\) | −8.43648 | − | 2.47717i | −0.321872 | − | 0.0945101i | ||||
\(688\) | −3.48411 | + | 7.62915i | −0.132831 | + | 0.290858i | ||||
\(689\) | 44.7955 | 1.70657 | ||||||||
\(690\) | 1.10535 | − | 0.253794i | 0.0420800 | − | 0.00966176i | ||||
\(691\) | 17.6296 | 0.670661 | 0.335330 | − | 0.942101i | \(-0.391152\pi\) | ||||
0.335330 | + | 0.942101i | \(0.391152\pi\) | |||||||
\(692\) | −1.59742 | + | 3.49787i | −0.0607250 | + | 0.132969i | ||||
\(693\) | −6.94354 | − | 2.03881i | −0.263763 | − | 0.0774479i | ||||
\(694\) | −0.145172 | − | 0.167538i | −0.00551067 | − | 0.00635965i | ||||
\(695\) | −1.34260 | + | 0.862839i | −0.0509279 | + | 0.0327293i | ||||
\(696\) | −4.91510 | + | 5.67233i | −0.186306 | + | 0.215009i | ||||
\(697\) | 6.32172 | − | 43.9685i | 0.239452 | − | 1.66543i | ||||
\(698\) | −20.1730 | + | 5.92333i | −0.763560 | + | 0.224201i | ||||
\(699\) | −65.0777 | − | 41.8229i | −2.46146 | − | 1.58189i | ||||
\(700\) | −0.710468 | − | 4.94141i | −0.0268532 | − | 0.186768i | ||||
\(701\) | 3.45996 | + | 7.57625i | 0.130681 | + | 0.286151i | 0.963650 | − | 0.267169i | \(-0.0860881\pi\) |
−0.832969 | + | 0.553320i | \(0.813361\pi\) | |||||||
\(702\) | 6.51121 | + | 14.2576i | 0.245750 | + | 0.538117i | ||||
\(703\) | 0.502601 | + | 3.49567i | 0.0189560 | + | 0.131842i | ||||
\(704\) | −1.45093 | − | 0.932456i | −0.0546840 | − | 0.0351433i | ||||
\(705\) | 0.749714 | − | 0.220136i | 0.0282359 | − | 0.00829079i | ||||
\(706\) | 0.802472 | − | 5.58131i | 0.0302014 | − | 0.210056i | ||||
\(707\) | 8.88264 | − | 10.2511i | 0.334066 | − | 0.385533i | ||||
\(708\) | 6.00648 | − | 3.86013i | 0.225738 | − | 0.145073i | ||||
\(709\) | −8.73450 | − | 10.0801i | −0.328031 | − | 0.378568i | 0.567646 | − | 0.823272i | \(-0.307854\pi\) |
−0.895677 | + | 0.444705i | \(0.853309\pi\) | |||||||
\(710\) | −1.13187 | − | 0.332348i | −0.0424785 | − | 0.0124728i | ||||
\(711\) | 4.45083 | − | 9.74596i | 0.166919 | − | 0.365502i | ||||
\(712\) | −3.00559 | −0.112639 | ||||||||
\(713\) | −6.49091 | − | 8.46625i | −0.243087 | − | 0.317064i | ||||
\(714\) | 16.0993 | 0.602501 | ||||||||
\(715\) | 0.308615 | − | 0.675774i | 0.0115416 | − | 0.0252725i | ||||
\(716\) | 0.0148402 | + | 0.00435748i | 0.000554605 | + | 0.000162847i | ||||
\(717\) | 34.3850 | + | 39.6824i | 1.28413 | + | 1.48197i | ||||
\(718\) | −24.1929 | + | 15.5478i | −0.902870 | + | 0.580239i | ||||
\(719\) | −15.1616 | + | 17.4974i | −0.565431 | + | 0.652542i | −0.964408 | − | 0.264419i | \(-0.914820\pi\) |
0.398977 | + | 0.916961i | \(0.369365\pi\) | |||||||
\(720\) | −0.0526406 | + | 0.366124i | −0.00196180 | + | 0.0136446i | ||||
\(721\) | 4.72009 | − | 1.38594i | 0.175785 | − | 0.0516152i | ||||
\(722\) | 15.8506 | + | 10.1866i | 0.589900 | + | 0.379106i | ||||
\(723\) | −2.22242 | − | 15.4573i | −0.0826526 | − | 0.574862i | ||||
\(724\) | −10.2219 | − | 22.3829i | −0.379896 | − | 0.831855i | ||||
\(725\) | 5.80255 | + | 12.7058i | 0.215501 | + | 0.471882i | ||||
\(726\) | −3.06375 | − | 21.3089i | −0.113707 | − | 0.790846i | ||||
\(727\) | 21.7402 | + | 13.9716i | 0.806301 | + | 0.518178i | 0.877666 | − | 0.479272i | \(-0.159099\pi\) |
−0.0713656 | + | 0.997450i | \(0.522736\pi\) | |||||||
\(728\) | 4.68820 | − | 1.37658i | 0.173756 | − | 0.0510194i | ||||
\(729\) | 6.05193 | − | 42.0921i | 0.224146 | − | 1.55897i | ||||
\(730\) | −0.614802 | + | 0.709520i | −0.0227549 | + | 0.0262605i | ||||
\(731\) | −42.3451 | + | 27.2135i | −1.56619 | + | 1.00653i | ||||
\(732\) | −4.03843 | − | 4.66060i | −0.149265 | − | 0.172261i | ||||
\(733\) | 37.5100 | + | 11.0139i | 1.38546 | + | 0.406808i | 0.887667 | − | 0.460486i | \(-0.152325\pi\) |
0.497795 | + | 0.867295i | \(0.334143\pi\) | |||||||
\(734\) | 10.0013 | − | 21.8997i | 0.369154 | − | 0.808334i | ||||
\(735\) | 0.236479 | 0.00872265 | ||||||||
\(736\) | 0.965501 | − | 4.69764i | 0.0355888 | − | 0.173157i | ||||
\(737\) | −1.66740 | −0.0614194 | ||||||||
\(738\) | 12.9009 | − | 28.2491i | 0.474890 | − | 1.03986i | ||||
\(739\) | 46.6678 | + | 13.7029i | 1.71670 | + | 0.504069i | 0.984255 | − | 0.176756i | \(-0.0565602\pi\) |
0.732446 | + | 0.680825i | \(0.238378\pi\) | |||||||
\(740\) | −0.512418 | − | 0.591362i | −0.0188369 | − | 0.0217389i | ||||
\(741\) | 4.38714 | − | 2.81944i | 0.161166 | − | 0.103575i | ||||
\(742\) | 6.00370 | − | 6.92864i | 0.220403 | − | 0.254359i | ||||
\(743\) | −1.46730 | + | 10.2053i | −0.0538300 | + | 0.374396i | 0.945044 | + | 0.326944i | \(0.106019\pi\) |
−0.998874 | + | 0.0474514i | \(0.984890\pi\) | |||||||
\(744\) | 5.72543 | − | 1.68114i | 0.209904 | − | 0.0616335i | ||||
\(745\) | −0.763508 | − | 0.490677i | −0.0279728 | − | 0.0179770i | ||||
\(746\) | −1.05697 | − | 7.35139i | −0.0386984 | − | 0.269154i | ||||
\(747\) | −13.4348 | − | 29.4181i | −0.491554 | − | 1.07635i | ||||
\(748\) | −4.29999 | − | 9.41567i | −0.157223 | − | 0.344271i | ||||
\(749\) | 2.84085 | + | 19.7585i | 0.103802 | + | 0.721961i | ||||
\(750\) | 1.98784 | + | 1.27751i | 0.0725857 | + | 0.0466480i | ||||
\(751\) | 10.6071 | − | 3.11453i | 0.387059 | − | 0.113651i | −0.0824128 | − | 0.996598i | \(-0.526263\pi\) |
0.469472 | + | 0.882948i | \(0.344444\pi\) | |||||||
\(752\) | 0.470231 | − | 3.27053i | 0.0171476 | − | 0.119264i | ||||
\(753\) | −27.5963 | + | 31.8478i | −1.00566 | + | 1.16060i | ||||
\(754\) | −11.5010 | + | 7.39121i | −0.418840 | + | 0.269172i | ||||
\(755\) | −0.815607 | − | 0.941261i | −0.0296830 | − | 0.0342560i | ||||
\(756\) | 3.07792 | + | 0.903759i | 0.111943 | + | 0.0328694i | ||||
\(757\) | −0.213043 | + | 0.466500i | −0.00774319 | + | 0.0169552i | −0.913464 | − | 0.406919i | \(-0.866603\pi\) |
0.905721 | + | 0.423875i | \(0.139330\pi\) | |||||||
\(758\) | −28.2428 | −1.02582 | ||||||||
\(759\) | −19.3507 | + | 10.8568i | −0.702387 | + | 0.394079i | ||||
\(760\) | 0.0350752 | 0.00127231 | ||||||||
\(761\) | 19.7670 | − | 43.2838i | 0.716554 | − | 1.56904i | −0.102116 | − | 0.994772i | \(-0.532561\pi\) |
0.818671 | − | 0.574263i | \(-0.194711\pi\) | |||||||
\(762\) | −23.7029 | − | 6.95979i | −0.858665 | − | 0.252127i | ||||
\(763\) | 0.803147 | + | 0.926881i | 0.0290759 | + | 0.0335554i | ||||
\(764\) | 6.44502 | − | 4.14196i | 0.233173 | − | 0.149851i | ||||
\(765\) | −1.45374 | + | 1.67770i | −0.0525599 | + | 0.0606574i | ||||
\(766\) | −1.48559 | + | 10.3325i | −0.0536765 | + | 0.373328i | ||||
\(767\) | 12.4784 | − | 3.66399i | 0.450569 | − | 0.132299i | ||||
\(768\) | 2.25667 | + | 1.45027i | 0.0814305 | + | 0.0523322i | ||||
\(769\) | −5.50710 | − | 38.3027i | −0.198591 | − | 1.38123i | −0.808377 | − | 0.588665i | \(-0.799654\pi\) |
0.609786 | − | 0.792566i | \(-0.291255\pi\) | |||||||
\(770\) | −0.0631616 | − | 0.138305i | −0.00227619 | − | 0.00498415i | ||||
\(771\) | 28.1553 | + | 61.6514i | 1.01399 | + | 2.22032i | ||||
\(772\) | −2.58382 | − | 17.9709i | −0.0929938 | − | 0.646786i | ||||
\(773\) | 27.8171 | + | 17.8769i | 1.00051 | + | 0.642989i | 0.934920 | − | 0.354858i | \(-0.115471\pi\) |
0.0655896 | + | 0.997847i | \(0.479107\pi\) | |||||||
\(774\) | −33.7654 | + | 9.91440i | −1.21367 | + | 0.356366i | ||||
\(775\) | 1.58041 | − | 10.9920i | 0.0567700 | − | 0.394844i | ||||
\(776\) | 1.83599 | − | 2.11884i | 0.0659082 | − | 0.0760621i | ||||
\(777\) | −20.0305 | + | 12.8728i | −0.718590 | + | 0.461810i | ||||
\(778\) | 5.50421 | + | 6.35220i | 0.197336 | + | 0.227737i | ||||
\(779\) | −2.82560 | − | 0.829670i | −0.101238 | − | 0.0297260i | ||||
\(780\) | −0.479997 | + | 1.05105i | −0.0171867 | + | 0.0376335i | ||||
\(781\) | 23.0794 | 0.825846 | ||||||||
\(782\) | 20.1171 | − | 20.5849i | 0.719386 | − | 0.736115i | ||||
\(783\) | −8.97549 | −0.320758 | ||||||||
\(784\) | 0.415415 | − | 0.909632i | 0.0148363 | − | 0.0324869i | ||||
\(785\) | −1.64763 | − | 0.483788i | −0.0588064 | − | 0.0172671i | ||||
\(786\) | −15.2640 | − | 17.6156i | −0.544450 | − | 0.628329i | ||||
\(787\) | −18.0934 | + | 11.6279i | −0.644959 | + | 0.414490i | −0.821821 | − | 0.569745i | \(-0.807042\pi\) |
0.176862 | + | 0.984236i | \(0.443405\pi\) | |||||||
\(788\) | −3.81875 | + | 4.40708i | −0.136037 | + | 0.156996i | ||||
\(789\) | 6.89910 | − | 47.9843i | 0.245614 | − | 1.70829i | ||||
\(790\) | 0.215990 | − | 0.0634203i | 0.00768456 | − | 0.00225639i | ||||
\(791\) | 15.0664 | + | 9.68261i | 0.535701 | + | 0.344274i | ||||
\(792\) | −1.02989 | − | 7.16301i | −0.0365954 | − | 0.254527i | ||||
\(793\) | −4.66626 | − | 10.2177i | −0.165704 | − | 0.362841i | ||||
\(794\) | −5.01774 | − | 10.9873i | −0.178073 | − | 0.389926i | ||||
\(795\) | 0.308541 | + | 2.14595i | 0.0109428 | + | 0.0761090i | ||||
\(796\) | −14.4634 | − | 9.29507i | −0.512642 | − | 0.329455i | ||||
\(797\) | 13.8573 | − | 4.06886i | 0.490850 | − | 0.144126i | −0.0269354 | − | 0.999637i | \(-0.508575\pi\) |
0.517785 | + | 0.855511i | \(0.326757\pi\) | |||||||
\(798\) | 0.151894 | − | 1.05645i | 0.00537699 | − | 0.0373978i | ||||
\(799\) | 12.9860 | − | 14.9867i | 0.459412 | − | 0.530190i | ||||
\(800\) | 4.19973 | − | 2.69900i | 0.148483 | − | 0.0954241i | ||||
\(801\) | −8.25845 | − | 9.53076i | −0.291798 | − | 0.336753i | ||||
\(802\) | 3.73231 | + | 1.09591i | 0.131792 | + | 0.0386978i | ||||
\(803\) | 7.63022 | − | 16.7078i | 0.269265 | − | 0.589607i | ||||
\(804\) | 2.59335 | 0.0914603 | ||||||||
\(805\) | 0.295496 | − | 0.302367i | 0.0104149 | − | 0.0106570i | ||||
\(806\) | 10.8690 | 0.382844 | ||||||||
\(807\) | 9.36666 | − | 20.5101i | 0.329722 | − | 0.721991i | ||||
\(808\) | 13.0147 | + | 3.82147i | 0.457857 | + | 0.134439i | ||||
\(809\) | −3.72995 | − | 4.30459i | −0.131138 | − | 0.151341i | 0.686383 | − | 0.727241i | \(-0.259198\pi\) |
−0.817521 | + | 0.575899i | \(0.804652\pi\) | |||||||
\(810\) | 0.295342 | − | 0.189805i | 0.0103773 | − | 0.00666907i | ||||
\(811\) | 28.7522 | − | 33.1818i | 1.00963 | − | 1.16517i | 0.0234080 | − | 0.999726i | \(-0.492548\pi\) |
0.986219 | − | 0.165446i | \(-0.0529062\pi\) | |||||||
\(812\) | −0.398192 | + | 2.76949i | −0.0139738 | + | 0.0971900i | ||||
\(813\) | −68.3871 | + | 20.0803i | −2.39844 | + | 0.704246i | ||||
\(814\) | 12.8787 | + | 8.27661i | 0.451397 | + | 0.290095i | ||||
\(815\) | 0.140360 | + | 0.976222i | 0.00491658 | + | 0.0341956i | ||||
\(816\) | 6.68789 | + | 14.6444i | 0.234123 | + | 0.512657i | ||||
\(817\) | 1.38625 | + | 3.03546i | 0.0484988 | + | 0.106197i | ||||
\(818\) | −4.46195 | − | 31.0335i | −0.156008 | − | 1.08506i | ||||
\(819\) | 17.2469 | + | 11.0839i | 0.602655 | + | 0.387303i | ||||
\(820\) | 0.626055 | − | 0.183826i | 0.0218628 | − | 0.00641950i | ||||
\(821\) | −0.292144 | + | 2.03190i | −0.0101959 | + | 0.0709139i | −0.994284 | − | 0.106767i | \(-0.965950\pi\) |
0.984088 | + | 0.177680i | \(0.0568593\pi\) | |||||||
\(822\) | −0.189017 | + | 0.218137i | −0.00659273 | + | 0.00760841i | ||||
\(823\) | 31.4734 | − | 20.2267i | 1.09709 | − | 0.705060i | 0.138651 | − | 0.990341i | \(-0.455723\pi\) |
0.958444 | + | 0.285281i | \(0.0920870\pi\) | |||||||
\(824\) | 3.22150 | + | 3.71780i | 0.112226 | + | 0.129516i | ||||
\(825\) | −22.1614 | − | 6.50717i | −0.771560 | − | 0.226551i | ||||
\(826\) | 1.10569 | − | 2.42113i | 0.0384720 | − | 0.0842419i | ||||
\(827\) | 33.7835 | 1.17477 | 0.587384 | − | 0.809308i | \(-0.300158\pi\) | ||||
0.587384 | + | 0.809308i | \(0.300158\pi\) | |||||||
\(828\) | 17.5491 | − | 9.84606i | 0.609875 | − | 0.342174i | ||||
\(829\) | −10.2402 | −0.355657 | −0.177829 | − | 0.984061i | \(-0.556907\pi\) | ||||
−0.177829 | + | 0.984061i | \(0.556907\pi\) | |||||||
\(830\) | 0.282269 | − | 0.618084i | 0.00979771 | − | 0.0214540i | ||||
\(831\) | 73.0979 | + | 21.4635i | 2.53574 | + | 0.744560i | ||||
\(832\) | 3.19973 | + | 3.69269i | 0.110931 | + | 0.128021i | ||||
\(833\) | 5.04885 | − | 3.24470i | 0.174932 | − | 0.112422i | ||||
\(834\) | −31.8024 | + | 36.7019i | −1.10123 | + | 1.27088i | ||||
\(835\) | −0.120575 | + | 0.838620i | −0.00417268 | + | 0.0290216i | ||||
\(836\) | −0.658432 | + | 0.193333i | −0.0227723 | + | 0.00668656i | ||||
\(837\) | 6.00299 | + | 3.85789i | 0.207494 | + | 0.133348i | ||||
\(838\) | 4.07032 | + | 28.3097i | 0.140607 | + | 0.977943i | ||||
\(839\) | −11.7349 | − | 25.6959i | −0.405134 | − | 0.887120i | −0.996724 | − | 0.0808810i | \(-0.974227\pi\) |
0.591589 | − | 0.806239i | \(-0.298501\pi\) | |||||||
\(840\) | 0.0982369 | + | 0.215109i | 0.00338949 | + | 0.00742196i | ||||
\(841\) | 3.01300 | + | 20.9559i | 0.103897 | + | 0.722617i | ||||
\(842\) | −23.0545 | − | 14.8162i | −0.794510 | − | 0.510601i | ||||
\(843\) | −13.2462 | + | 3.88944i | −0.456224 | + | 0.133959i | ||||
\(844\) | 2.22174 | − | 15.4526i | 0.0764756 | − | 0.531900i | ||||
\(845\) | −0.627766 | + | 0.724480i | −0.0215958 | + | 0.0249229i | ||||
\(846\) | 11.6629 | − | 7.49531i | 0.400980 | − | 0.257694i | ||||
\(847\) | −5.25547 | − | 6.06514i | −0.180580 | − | 0.208401i | ||||
\(848\) | 8.79655 | + | 2.58290i | 0.302075 | + | 0.0886971i | ||||
\(849\) | 5.71025 | − | 12.5037i | 0.195975 | − | 0.429126i | ||||
\(850\) | 29.9613 | 1.02766 | ||||||||
\(851\) | −8.56992 | + | 41.6969i | −0.293773 | + | 1.42935i | ||||
\(852\) | −35.8960 | −1.22978 | ||||||||
\(853\) | −7.14045 | + | 15.6354i | −0.244484 | + | 0.535346i | −0.991599 | − | 0.129349i | \(-0.958711\pi\) |
0.747115 | + | 0.664695i | \(0.231439\pi\) | |||||||
\(854\) | −2.20579 | − | 0.647679i | −0.0754806 | − | 0.0221631i | ||||
\(855\) | 0.0963760 | + | 0.111224i | 0.00329599 | + | 0.00380378i | ||||
\(856\) | −16.7929 | + | 10.7921i | −0.573968 | + | 0.368867i | ||||
\(857\) | 17.6532 | − | 20.3729i | 0.603023 | − | 0.695926i | −0.369368 | − | 0.929283i | \(-0.620426\pi\) |
0.972391 | + | 0.233357i | \(0.0749712\pi\) | |||||||
\(858\) | 3.21718 | − | 22.3760i | 0.109833 | − | 0.763903i | ||||
\(859\) | 6.00563 | − | 1.76341i | 0.204910 | − | 0.0601669i | −0.177667 | − | 0.984091i | \(-0.556855\pi\) |
0.382577 | + | 0.923924i | \(0.375037\pi\) | |||||||
\(860\) | −0.621997 | − | 0.399734i | −0.0212099 | − | 0.0136308i | ||||
\(861\) | −2.82560 | − | 19.6525i | −0.0962961 | − | 0.669754i | ||||
\(862\) | −14.4850 | − | 31.7177i | −0.493361 | − | 1.08031i | ||||
\(863\) | −4.67740 | − | 10.2421i | −0.159220 | − | 0.348644i | 0.813162 | − | 0.582037i | \(-0.197744\pi\) |
−0.972382 | + | 0.233393i | \(0.925017\pi\) | |||||||
\(864\) | 0.456526 | + | 3.17521i | 0.0155313 | + | 0.108023i | ||||
\(865\) | −0.285178 | − | 0.183273i | −0.00969635 | − | 0.00623147i | ||||
\(866\) | −6.56719 | + | 1.92830i | −0.223162 | + | 0.0655264i | ||||
\(867\) | −7.26070 | + | 50.4993i | −0.246586 | + | 1.71505i | ||||
\(868\) | 1.45671 | − | 1.68114i | 0.0494441 | − | 0.0570615i | ||||
\(869\) | −3.70498 | + | 2.38105i | −0.125683 | + | 0.0807715i | ||||
\(870\) | −0.433295 | − | 0.500049i | −0.0146901 | − | 0.0169533i | ||||
\(871\) | 4.53238 | + | 1.33083i | 0.153574 | + | 0.0450933i | ||||
\(872\) | −0.509482 | + | 1.11561i | −0.0172532 | + | 0.0377793i | ||||
\(873\) | 11.7636 | 0.398138 | ||||||||
\(874\) | −1.16099 | − | 1.51431i | −0.0392712 | − | 0.0512224i | ||||
\(875\) | 0.880874 | 0.0297790 | ||||||||
\(876\) | −11.8675 | + | 25.9861i | −0.400965 | + | 0.877990i | ||||
\(877\) | −3.92597 | − | 1.15277i | −0.132571 | − | 0.0389262i | 0.214774 | − | 0.976664i | \(-0.431098\pi\) |
−0.347345 | + | 0.937738i | \(0.612917\pi\) | |||||||
\(878\) | −11.5053 | − | 13.2778i | −0.388286 | − | 0.448106i | ||||
\(879\) | −52.3924 | + | 33.6706i | −1.76715 | + | 1.13568i | ||||
\(880\) | 0.0995681 | − | 0.114908i | 0.00335644 | − | 0.00387354i | ||||
\(881\) | 3.46398 | − | 24.0925i | 0.116704 | − | 0.811697i | −0.844440 | − | 0.535650i | \(-0.820066\pi\) |
0.961144 | − | 0.276047i | \(-0.0890244\pi\) | |||||||
\(882\) | 4.02588 | − | 1.18211i | 0.135559 | − | 0.0398036i | ||||
\(883\) | 5.93936 | + | 3.81699i | 0.199875 | + | 0.128452i | 0.636750 | − | 0.771070i | \(-0.280278\pi\) |
−0.436875 | + | 0.899522i | \(0.643915\pi\) | |||||||
\(884\) | 4.17331 | + | 29.0260i | 0.140364 | + | 0.976250i | ||||
\(885\) | 0.261473 | + | 0.572546i | 0.00878932 | + | 0.0192459i | ||||
\(886\) | −4.26454 | − | 9.33804i | −0.143270 | − | 0.313717i | ||||
\(887\) | 4.65162 | + | 32.3527i | 0.156186 | + | 1.08630i | 0.905580 | + | 0.424175i | \(0.139436\pi\) |
−0.749394 | + | 0.662124i | \(0.769655\pi\) | |||||||
\(888\) | −20.0305 | − | 12.8728i | −0.672180 | − | 0.431984i | ||||
\(889\) | −8.83609 | + | 2.59451i | −0.296353 | + | 0.0870171i | ||||
\(890\) | 0.0377078 | − | 0.262264i | 0.00126397 | − | 0.00879110i | ||||
\(891\) | −4.49797 | + | 5.19093i | −0.150688 | + | 0.173903i | ||||
\(892\) | 21.2879 | − | 13.6809i | 0.712771 | − | 0.458070i | ||||
\(893\) | −0.860914 | − | 0.993547i | −0.0288094 | − | 0.0332478i | ||||
\(894\) | −26.4983 | − | 7.78060i | −0.886235 | − | 0.260222i | ||||
\(895\) | −0.000566412 | 0.00124027i | −1.89331e−5 | 4.14576e-5i | ||||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | 61.2651 | − | 14.0667i | 2.04558 | − | 0.469675i | ||||
\(898\) | 6.06594 | 0.202423 | ||||||||
\(899\) | −2.58553 | + | 5.66152i | −0.0862323 | + | 0.188822i | ||||
\(900\) | 20.0981 | + | 5.90134i | 0.669938 | + | 0.196711i | ||||
\(901\) | 36.0317 | + | 41.5828i | 1.20039 | + | 1.38532i | ||||
\(902\) | −10.7390 | + | 6.90157i | −0.357571 | + | 0.229797i | ||||
\(903\) | −14.7333 | + | 17.0031i | −0.490294 | + | 0.565829i | ||||
\(904\) | −2.54879 | + | 17.7272i | −0.0847714 | + | 0.589598i | ||||
\(905\) | 2.08135 | − | 0.611139i | 0.0691863 | − | 0.0203149i | ||||
\(906\) | −31.8822 | − | 20.4894i | −1.05922 | − | 0.680716i | ||||
\(907\) | −3.89588 | − | 27.0964i | −0.129361 | − | 0.899723i | −0.946367 | − | 0.323094i | \(-0.895277\pi\) |
0.817006 | − | 0.576629i | \(-0.195632\pi\) | |||||||
\(908\) | −7.77962 | − | 17.0350i | −0.258176 | − | 0.565326i | ||||
\(909\) | 23.6426 | + | 51.7700i | 0.784175 | + | 1.71710i | ||||
\(910\) | 0.0613008 | + | 0.426356i | 0.00203210 | + | 0.0141336i | ||||
\(911\) | −3.35900 | − | 2.15870i | −0.111289 | − | 0.0715209i | 0.483813 | − | 0.875172i | \(-0.339252\pi\) |
−0.595101 | + | 0.803651i | \(0.702888\pi\) | |||||||
\(912\) | 1.02408 | − | 0.300696i | 0.0339105 | − | 0.00995703i | ||||
\(913\) | −1.89191 | + | 13.1585i | −0.0626130 | + | 0.435483i | ||||
\(914\) | −11.7201 | + | 13.5257i | −0.387667 | + | 0.447391i | ||||
\(915\) | 0.457343 | − | 0.293916i | 0.0151193 | − | 0.00971658i | ||||
\(916\) | −2.14648 | − | 2.47717i | −0.0709218 | − | 0.0818481i | ||||
\(917\) | −8.33722 | − | 2.44803i | −0.275319 | − | 0.0808411i | ||||
\(918\) | −7.99767 | + | 17.5125i | −0.263962 | + | 0.577997i | ||||
\(919\) | 40.8313 | 1.34690 | 0.673450 | − | 0.739233i | \(-0.264812\pi\) | ||||
0.673450 | + | 0.739233i | \(0.264812\pi\) | |||||||
\(920\) | 0.397796 | + | 0.143184i | 0.0131150 | + | 0.00472065i | ||||
\(921\) | −29.9723 | −0.987620 | ||||||||
\(922\) | −17.5460 | + | 38.4205i | −0.577848 | + | 1.26531i | ||||
\(923\) | −62.7352 | − | 18.4207i | −2.06495 | − | 0.606325i | ||||
\(924\) | −3.02977 | − | 3.49654i | −0.0996721 | − | 0.115028i | ||||
\(925\) | −37.2774 | + | 23.9567i | −1.22567 | + | 0.787692i | ||||
\(926\) | 24.2880 | − | 28.0298i | 0.798152 | − | 0.921116i | ||||
\(927\) | −2.93750 | + | 20.4308i | −0.0964802 | + | 0.671035i | ||||
\(928\) | −2.68463 | + | 0.788278i | −0.0881273 | + | 0.0258765i | ||||
\(929\) | −0.0886650 | − | 0.0569816i | −0.00290901 | − | 0.00186950i | 0.539186 | − | 0.842187i | \(-0.318732\pi\) |
−0.542095 | + | 0.840318i | \(0.682369\pi\) | |||||||
\(930\) | 0.0748631 | + | 0.520684i | 0.00245486 | + | 0.0170739i | ||||
\(931\) | −0.165284 | − | 0.361922i | −0.00541697 | − | 0.0118615i | ||||
\(932\) | −11.9797 | − | 26.2319i | −0.392409 | − | 0.859255i | ||||
\(933\) | 5.19942 | + | 36.1628i | 0.170221 | + | 1.18392i | ||||
\(934\) | 19.0654 | + | 12.2526i | 0.623839 | + | 0.400917i | ||||
\(935\) | 0.875545 | − | 0.257083i | 0.0286334 | − | 0.00840752i | ||||
\(936\) | −2.91765 | + | 20.2927i | −0.0953665 | + | 0.663289i | ||||
\(937\) | −22.8681 | + | 26.3912i | −0.747068 | + | 0.862162i | −0.994281 | − | 0.106799i | \(-0.965940\pi\) |
0.247213 | + | 0.968961i | \(0.420485\pi\) | |||||||
\(938\) | 0.813292 | − | 0.522671i | 0.0265549 | − | 0.0170658i | ||||
\(939\) | 44.8614 | + | 51.7728i | 1.46400 | + | 1.68954i | ||||
\(940\) | 0.279482 | + | 0.0820635i | 0.00911571 | + | 0.00267662i | ||||
\(941\) | 7.67675 | − | 16.8097i | 0.250255 | − | 0.547981i | −0.742259 | − | 0.670113i | \(-0.766246\pi\) |
0.992514 | + | 0.122131i | \(0.0389729\pi\) | |||||||
\(942\) | −52.2525 | −1.70248 | ||||||||
\(943\) | −28.6589 | − | 20.9442i | −0.933261 | − | 0.682035i | ||||
\(944\) | 2.66166 | 0.0866297 | ||||||||
\(945\) | −0.117476 | + | 0.257237i | −0.00382149 | + | 0.00836791i | ||||
\(946\) | 13.8794 | + | 4.07537i | 0.451259 | + | 0.132502i | ||||
\(947\) | 16.9879 | + | 19.6050i | 0.552031 | + | 0.637078i | 0.961355 | − | 0.275311i | \(-0.0887809\pi\) |
−0.409324 | + | 0.912389i | \(0.634235\pi\) | |||||||
\(948\) | 5.76245 | − | 3.70330i | 0.187156 | − | 0.120278i | ||||
\(949\) | −34.0760 | + | 39.3258i | −1.10615 | + | 1.27657i | ||||
\(950\) | 0.282679 | − | 1.96608i | 0.00917133 | − | 0.0637880i | ||||
\(951\) | −5.86064 | + | 1.72084i | −0.190044 | + | 0.0558021i | ||||
\(952\) | 5.04885 | + | 3.24470i | 0.163634 | + | 0.105161i | ||||
\(953\) | 7.21369 | + | 50.1723i | 0.233674 | + | 1.62524i | 0.681988 | + | 0.731363i | \(0.261116\pi\) |
−0.448314 | + | 0.893876i | \(0.647975\pi\) | |||||||
\(954\) | 15.9798 | + | 34.9909i | 0.517366 | + | 1.13287i | ||||
\(955\) | 0.280563 | + | 0.614348i | 0.00907882 | + | 0.0198798i | ||||
\(956\) | 2.78567 | + | 19.3748i | 0.0900950 | + | 0.626624i | ||||
\(957\) | 10.8901 | + | 6.99861i | 0.352025 | + | 0.226233i | ||||
\(958\) | −13.9011 | + | 4.08174i | −0.449125 | + | 0.131875i | ||||
\(959\) | −0.0153130 | + | 0.106505i | −0.000494484 | + | 0.00343921i | ||||
\(960\) | −0.154861 | + | 0.178719i | −0.00499811 | + | 0.00576812i | ||||
\(961\) | −21.9161 | + | 14.0846i | −0.706972 | + | 0.454343i | ||||
\(962\) | −28.4012 | − | 32.7768i | −0.915693 | − | 1.05677i | ||||
\(963\) | −80.3636 | − | 23.5969i | −2.58968 | − | 0.760398i | ||||
\(964\) | 2.41834 | − | 5.29542i | 0.0778894 | − | 0.170554i | ||||
\(965\) | 1.60053 | 0.0515229 | ||||||||
\(966\) | 6.03529 | − | 11.3613i | 0.194182 | − | 0.365545i | ||||
\(967\) | −43.2020 | −1.38928 | −0.694641 | − | 0.719357i | \(-0.744437\pi\) | ||||
−0.694641 | + | 0.719357i | \(0.744437\pi\) | |||||||
\(968\) | 3.33384 | − | 7.30009i | 0.107154 | − | 0.234634i | ||||
\(969\) | 6.14607 | + | 1.80465i | 0.197440 | + | 0.0579737i | ||||
\(970\) | 0.161853 | + | 0.186789i | 0.00519680 | + | 0.00599742i | ||||
\(971\) | 11.4228 | − | 7.34100i | 0.366575 | − | 0.235584i | −0.344365 | − | 0.938836i | \(-0.611906\pi\) |
0.710941 | + | 0.703252i | \(0.248269\pi\) | |||||||
\(972\) | 13.2979 | − | 15.3466i | 0.426530 | − | 0.492242i | ||||
\(973\) | −2.57644 | + | 17.9195i | −0.0825968 | + | 0.574473i | ||||
\(974\) | −1.46906 | + | 0.431354i | −0.0470717 | + | 0.0138215i | ||||
\(975\) | 55.0461 | + | 35.3760i | 1.76289 | + | 1.13294i | ||||
\(976\) | −0.327169 | − | 2.27551i | −0.0104724 | − | 0.0728374i | ||||
\(977\) | 7.93401 | + | 17.3731i | 0.253832 | + | 0.555814i | 0.993056 | − | 0.117646i | \(-0.0375348\pi\) |
−0.739224 | + | 0.673460i | \(0.764808\pi\) | |||||||
\(978\) | 12.4670 | + | 27.2990i | 0.398652 | + | 0.872926i | ||||
\(979\) | 0.737734 | + | 5.13105i | 0.0235781 | + | 0.163989i | ||||
\(980\) | 0.0741615 | + | 0.0476607i | 0.00236900 | + | 0.00152246i | ||||
\(981\) | −4.93750 | + | 1.44978i | −0.157642 | + | 0.0462880i | ||||
\(982\) | 4.87378 | − | 33.8979i | 0.155529 | − | 1.08173i | ||||
\(983\) | 7.07533 | − | 8.16536i | 0.225668 | − | 0.260435i | −0.631613 | − | 0.775284i | \(-0.717607\pi\) |
0.857281 | + | 0.514849i | \(0.172152\pi\) | |||||||
\(984\) | 16.7027 | − | 10.7342i | 0.532463 | − | 0.342193i | ||||
\(985\) | −0.336646 | − | 0.388510i | −0.0107264 | − | 0.0123790i | ||||
\(986\) | −16.1120 | − | 4.73092i | −0.513111 | − | 0.150663i | ||||
\(987\) | 3.68201 | − | 8.06247i | 0.117200 | − | 0.256631i | ||||
\(988\) | 1.94408 | 0.0618494 | ||||||||
\(989\) | 3.33039 | + | 40.0849i | 0.105900 | + | 1.27462i | ||||
\(990\) | 0.637956 | 0.0202756 | ||||||||
\(991\) | −16.4122 | + | 35.9377i | −0.521351 | + | 1.14160i | 0.447574 | + | 0.894247i | \(0.352288\pi\) |
−0.968925 | + | 0.247353i | \(0.920439\pi\) | |||||||
\(992\) | 2.13436 | + | 0.626704i | 0.0677659 | + | 0.0198979i | ||||
\(993\) | 25.2578 | + | 29.1490i | 0.801532 | + | 0.925017i | ||||
\(994\) | −11.2572 | + | 7.23459i | −0.357058 | + | 0.229467i | ||||
\(995\) | 0.992532 | − | 1.14544i | 0.0314654 | − | 0.0363130i | ||||
\(996\) | 2.94253 | − | 20.4658i | 0.0932377 | − | 0.648482i | ||||
\(997\) | 5.97964 | − | 1.75578i | 0.189377 | − | 0.0556062i | −0.185669 | − | 0.982612i | \(-0.559445\pi\) |
0.375046 | + | 0.927006i | \(0.377627\pi\) | |||||||
\(998\) | 21.2606 | + | 13.6634i | 0.672994 | + | 0.432507i | ||||
\(999\) | −4.05219 | − | 28.1836i | −0.128206 | − | 0.891690i |
(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 | 322.2.i.a.29.1 | ✓ | 10 | |
23.2 | even | 11 | 7406.2.a.bg.1.5 | 5 | |||
23.4 | even | 11 | inner | 322.2.i.a.211.1 | yes | 10 | |
23.21 | odd | 22 | 7406.2.a.bh.1.5 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.i.a.29.1 | ✓ | 10 | 1.1 | even | 1 | trivial | |
322.2.i.a.211.1 | yes | 10 | 23.4 | even | 11 | inner | |
7406.2.a.bg.1.5 | 5 | 23.2 | even | 11 | |||
7406.2.a.bh.1.5 | 5 | 23.21 | odd | 22 |