Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,2,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.391266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Character | \(\chi\) | \(=\) | 49.11 |
Dual form | 49.2.g.a.9.4 |
$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.51353 | − | 1.40435i | 1.07023 | − | 0.993026i | 0.0702376 | − | 0.997530i | \(-0.477624\pi\) |
0.999990 | + | 0.00450433i | \(0.00143378\pi\) | |||||||
\(3\) | −2.00916 | + | 0.302832i | −1.15999 | + | 0.174840i | −0.700706 | − | 0.713450i | \(-0.747132\pi\) |
−0.459283 | + | 0.888290i | \(0.651894\pi\) | |||||||
\(4\) | 0.169112 | − | 2.25665i | 0.0845562 | − | 1.12832i | ||||
\(5\) | −0.0830372 | + | 0.211575i | −0.0371353 | + | 0.0946193i | −0.948238 | − | 0.317559i | \(-0.897137\pi\) |
0.911103 | + | 0.412179i | \(0.135232\pi\) | |||||||
\(6\) | −2.61564 | + | 3.27991i | −1.06783 | + | 1.33902i | ||||
\(7\) | 1.07894 | + | 2.41576i | 0.407801 | + | 0.913071i | ||||
\(8\) | −0.338532 | − | 0.424506i | −0.119689 | − | 0.150085i | ||||
\(9\) | 1.07830 | − | 0.332612i | 0.359433 | − | 0.110871i | ||||
\(10\) | 0.171447 | + | 0.436839i | 0.0542162 | + | 0.138141i | ||||
\(11\) | −4.81478 | − | 1.48516i | −1.45171 | − | 0.447793i | −0.534150 | − | 0.845390i | \(-0.679368\pi\) |
−0.917560 | + | 0.397597i | \(0.869844\pi\) | |||||||
\(12\) | 0.343612 | + | 4.58518i | 0.0991921 | + | 1.32363i | ||||
\(13\) | −1.11960 | − | 4.90527i | −0.310520 | − | 1.36048i | −0.853658 | − | 0.520834i | \(-0.825621\pi\) |
0.543138 | − | 0.839643i | \(-0.317236\pi\) | |||||||
\(14\) | 5.02558 | + | 2.14111i | 1.34314 | + | 0.572236i | ||||
\(15\) | 0.102763 | − | 0.450235i | 0.0265333 | − | 0.116250i | ||||
\(16\) | 3.36686 | + | 0.507473i | 0.841716 | + | 0.126868i | ||||
\(17\) | 2.03464 | − | 1.38719i | 0.493472 | − | 0.336443i | −0.290880 | − | 0.956760i | \(-0.593948\pi\) |
0.784352 | + | 0.620316i | \(0.212996\pi\) | |||||||
\(18\) | 1.16494 | − | 2.01773i | 0.274578 | − | 0.475583i | ||||
\(19\) | 1.49378 | + | 2.58730i | 0.342696 | + | 0.593566i | 0.984932 | − | 0.172940i | \(-0.0553267\pi\) |
−0.642237 | + | 0.766506i | \(0.721993\pi\) | |||||||
\(20\) | 0.463408 | + | 0.223166i | 0.103621 | + | 0.0499013i | ||||
\(21\) | −2.89933 | − | 4.52691i | −0.632686 | − | 0.987852i | ||||
\(22\) | −9.37300 | + | 4.51380i | −1.99833 | + | 0.962345i | ||||
\(23\) | −3.79491 | − | 2.58732i | −0.791293 | − | 0.539494i | 0.0988896 | − | 0.995098i | \(-0.468471\pi\) |
−0.890183 | + | 0.455604i | \(0.849423\pi\) | |||||||
\(24\) | 0.808719 | + | 0.750382i | 0.165079 | + | 0.153171i | ||||
\(25\) | 3.62739 | + | 3.36573i | 0.725478 | + | 0.673145i | ||||
\(26\) | −8.58326 | − | 5.85197i | −1.68332 | − | 1.14767i | ||||
\(27\) | 3.42616 | − | 1.64995i | 0.659365 | − | 0.317533i | ||||
\(28\) | 5.63398 | − | 2.02625i | 1.06472 | − | 0.382926i | ||||
\(29\) | 0.637668 | + | 0.307085i | 0.118412 | + | 0.0570242i | 0.492152 | − | 0.870509i | \(-0.336210\pi\) |
−0.373740 | + | 0.927534i | \(0.621925\pi\) | |||||||
\(30\) | −0.476753 | − | 0.825760i | −0.0870427 | − | 0.150762i | ||||
\(31\) | −4.05198 | + | 7.01823i | −0.727756 | + | 1.26051i | 0.230073 | + | 0.973173i | \(0.426103\pi\) |
−0.957829 | + | 0.287337i | \(0.907230\pi\) | |||||||
\(32\) | 6.70576 | − | 4.57191i | 1.18542 | − | 0.808207i | ||||
\(33\) | 10.1234 | + | 1.52586i | 1.76226 | + | 0.265618i | ||||
\(34\) | 1.13138 | − | 4.95690i | 0.194030 | − | 0.850101i | ||||
\(35\) | −0.600707 | + | 0.0276793i | −0.101538 | + | 0.00467866i | ||||
\(36\) | −0.568233 | − | 2.48959i | −0.0947055 | − | 0.414932i | ||||
\(37\) | −0.200105 | − | 2.67021i | −0.0328970 | − | 0.438980i | −0.989197 | − | 0.146593i | \(-0.953169\pi\) |
0.956300 | − | 0.292387i | \(-0.0944497\pi\) | |||||||
\(38\) | 5.89435 | + | 1.81816i | 0.956189 | + | 0.294945i | ||||
\(39\) | 3.73492 | + | 9.51643i | 0.598066 | + | 1.52385i | ||||
\(40\) | 0.117926 | − | 0.0363752i | 0.0186457 | − | 0.00575143i | ||||
\(41\) | −1.10568 | − | 1.38648i | −0.172678 | − | 0.216531i | 0.687960 | − | 0.725749i | \(-0.258506\pi\) |
−0.860638 | + | 0.509217i | \(0.829935\pi\) | |||||||
\(42\) | −10.7456 | − | 2.77993i | −1.65808 | − | 0.428953i | ||||
\(43\) | −0.910094 | + | 1.14122i | −0.138788 | + | 0.174035i | −0.846368 | − | 0.532599i | \(-0.821216\pi\) |
0.707580 | + | 0.706633i | \(0.249787\pi\) | |||||||
\(44\) | −4.16573 | + | 10.6141i | −0.628007 | + | 1.60014i | ||||
\(45\) | −0.0191666 | + | 0.255761i | −0.00285719 | + | 0.0381266i | ||||
\(46\) | −9.37722 | + | 1.41339i | −1.38260 | + | 0.208393i | ||||
\(47\) | 4.11267 | − | 3.81600i | 0.599894 | − | 0.556620i | −0.320680 | − | 0.947187i | \(-0.603912\pi\) |
0.920574 | + | 0.390567i | \(0.127721\pi\) | |||||||
\(48\) | −6.91825 | −0.998564 | ||||||||
\(49\) | −4.67178 | + | 5.21292i | −0.667397 | + | 0.744702i | ||||
\(50\) | 10.2168 | 1.44488 | ||||||||
\(51\) | −3.66783 | + | 3.40325i | −0.513598 | + | 0.476550i | ||||
\(52\) | −11.2588 | + | 1.69699i | −1.56131 | + | 0.235330i | ||||
\(53\) | −0.329416 | + | 4.39576i | −0.0452488 | + | 0.603804i | 0.927781 | + | 0.373125i | \(0.121714\pi\) |
−0.973030 | + | 0.230679i | \(0.925905\pi\) | |||||||
\(54\) | 2.86849 | − | 7.30878i | 0.390351 | − | 0.994599i | ||||
\(55\) | 0.714029 | − | 0.895364i | 0.0962797 | − | 0.120731i | ||||
\(56\) | 0.660247 | − | 1.27583i | 0.0882293 | − | 0.170490i | ||||
\(57\) | −3.78475 | − | 4.74593i | −0.501303 | − | 0.628614i | ||||
\(58\) | 1.39638 | − | 0.430727i | 0.183354 | − | 0.0565573i | ||||
\(59\) | −2.06545 | − | 5.26268i | −0.268899 | − | 0.685143i | −0.999996 | − | 0.00286948i | \(-0.999087\pi\) |
0.731097 | − | 0.682273i | \(-0.239009\pi\) | |||||||
\(60\) | −0.998643 | − | 0.308041i | −0.128924 | − | 0.0397679i | ||||
\(61\) | 0.642677 | + | 8.57593i | 0.0822864 | + | 1.09804i | 0.873606 | + | 0.486633i | \(0.161775\pi\) |
−0.791320 | + | 0.611402i | \(0.790606\pi\) | |||||||
\(62\) | 3.72327 | + | 16.3127i | 0.472855 | + | 2.07171i | ||||
\(63\) | 1.96693 | + | 2.24605i | 0.247810 | + | 0.282975i | ||||
\(64\) | 2.21348 | − | 9.69790i | 0.276685 | − | 1.21224i | ||||
\(65\) | 1.13080 | + | 0.170441i | 0.140259 | + | 0.0211406i | ||||
\(66\) | 17.4649 | − | 11.9074i | 2.14979 | − | 1.46570i | ||||
\(67\) | 5.97762 | − | 10.3535i | 0.730283 | − | 1.26489i | −0.226479 | − | 0.974016i | \(-0.572722\pi\) |
0.956762 | − | 0.290871i | \(-0.0939451\pi\) | |||||||
\(68\) | −2.78632 | − | 4.82605i | −0.337891 | − | 0.585244i | ||||
\(69\) | 8.40810 | + | 4.04913i | 1.01222 | + | 0.487458i | ||||
\(70\) | −0.870316 | + | 0.885497i | −0.104023 | + | 0.105837i | ||||
\(71\) | 2.34135 | − | 1.12753i | 0.277867 | − | 0.133814i | −0.289761 | − | 0.957099i | \(-0.593576\pi\) |
0.567627 | + | 0.823286i | \(0.307861\pi\) | |||||||
\(72\) | −0.506235 | − | 0.345145i | −0.0596603 | − | 0.0406757i | ||||
\(73\) | −2.04449 | − | 1.89701i | −0.239289 | − | 0.222028i | 0.551407 | − | 0.834236i | \(-0.314091\pi\) |
−0.790697 | + | 0.612208i | \(0.790281\pi\) | |||||||
\(74\) | −4.05278 | − | 3.76043i | −0.471126 | − | 0.437141i | ||||
\(75\) | −8.30726 | − | 5.66379i | −0.959240 | − | 0.653999i | ||||
\(76\) | 6.09123 | − | 2.93338i | 0.698712 | − | 0.336482i | ||||
\(77\) | −1.60706 | − | 13.2337i | −0.183142 | − | 1.50812i | ||||
\(78\) | 19.0173 | + | 9.15826i | 2.15329 | + | 1.03697i | ||||
\(79\) | 2.40092 | + | 4.15851i | 0.270124 | + | 0.467869i | 0.968893 | − | 0.247478i | \(-0.0796019\pi\) |
−0.698769 | + | 0.715347i | \(0.746269\pi\) | |||||||
\(80\) | −0.386944 | + | 0.670206i | −0.0432616 | + | 0.0749313i | ||||
\(81\) | −9.18111 | + | 6.25958i | −1.02012 | + | 0.695509i | ||||
\(82\) | −3.62058 | − | 0.545714i | −0.399826 | − | 0.0602640i | ||||
\(83\) | −1.53769 | + | 6.73708i | −0.168784 | + | 0.739490i | 0.817702 | + | 0.575642i | \(0.195248\pi\) |
−0.986486 | + | 0.163848i | \(0.947609\pi\) | |||||||
\(84\) | −10.7059 | + | 5.77722i | −1.16811 | + | 0.630346i | ||||
\(85\) | 0.124545 | + | 0.545667i | 0.0135088 | + | 0.0591859i | ||||
\(86\) | 0.225221 | + | 3.00536i | 0.0242862 | + | 0.324077i | ||||
\(87\) | −1.37417 | − | 0.423876i | −0.147327 | − | 0.0454443i | ||||
\(88\) | 0.999497 | + | 2.54668i | 0.106547 | + | 0.271477i | ||||
\(89\) | −9.81790 | + | 3.02842i | −1.04070 | + | 0.321012i | −0.767569 | − | 0.640966i | \(-0.778534\pi\) |
−0.273126 | + | 0.961978i | \(0.588058\pi\) | |||||||
\(90\) | 0.330169 | + | 0.414018i | 0.0348028 | + | 0.0436414i | ||||
\(91\) | 10.6420 | − | 7.99717i | 1.11558 | − | 0.838331i | ||||
\(92\) | −6.48044 | + | 8.12622i | −0.675633 | + | 0.847217i | ||||
\(93\) | 6.01572 | − | 15.3278i | 0.623801 | − | 1.58942i | ||||
\(94\) | 0.865647 | − | 11.5513i | 0.0892847 | − | 1.19142i | ||||
\(95\) | −0.671447 | + | 0.101204i | −0.0688890 | + | 0.0103833i | ||||
\(96\) | −12.0884 | + | 11.2164i | −1.23377 | + | 1.14477i | ||||
\(97\) | 0.497851 | 0.0505491 | 0.0252746 | − | 0.999681i | \(-0.491954\pi\) | ||||
0.0252746 | + | 0.999681i | \(0.491954\pi\) | |||||||
\(98\) | 0.249890 | + | 14.4507i | 0.0252427 | + | 1.45974i | ||||
\(99\) | −5.68576 | −0.571440 | ||||||||
\(100\) | 8.20869 | − | 7.61655i | 0.820869 | − | 0.761655i | ||||
\(101\) | −0.351055 | + | 0.0529130i | −0.0349313 | + | 0.00526505i | −0.166485 | − | 0.986044i | \(-0.553242\pi\) |
0.131553 | + | 0.991309i | \(0.458004\pi\) | |||||||
\(102\) | −0.772015 | + | 10.3018i | −0.0764409 | + | 1.02003i | ||||
\(103\) | 2.93087 | − | 7.46774i | 0.288788 | − | 0.735819i | −0.710690 | − | 0.703505i | \(-0.751617\pi\) |
0.999478 | − | 0.0323136i | \(-0.0102875\pi\) | |||||||
\(104\) | −1.70330 | + | 2.13587i | −0.167022 | + | 0.209439i | ||||
\(105\) | 1.19853 | − | 0.237526i | 0.116965 | − | 0.0231801i | ||||
\(106\) | 5.67460 | + | 7.11573i | 0.551166 | + | 0.691140i | ||||
\(107\) | −19.6890 | + | 6.07324i | −1.90340 | + | 0.587123i | −0.925200 | + | 0.379479i | \(0.876103\pi\) |
−0.978205 | + | 0.207643i | \(0.933421\pi\) | |||||||
\(108\) | −3.14395 | − | 8.01066i | −0.302527 | − | 0.770826i | ||||
\(109\) | −1.96161 | − | 0.605076i | −0.187888 | − | 0.0579558i | 0.199383 | − | 0.979922i | \(-0.436106\pi\) |
−0.387271 | + | 0.921966i | \(0.626582\pi\) | |||||||
\(110\) | −0.176701 | − | 2.35791i | −0.0168478 | − | 0.224818i | ||||
\(111\) | 1.21067 | + | 5.30429i | 0.114912 | + | 0.503461i | ||||
\(112\) | 2.40671 | + | 8.68107i | 0.227413 | + | 0.820284i | ||||
\(113\) | 1.78611 | − | 7.82546i | 0.168023 | − | 0.736157i | −0.818763 | − | 0.574131i | \(-0.805340\pi\) |
0.986786 | − | 0.162026i | \(-0.0518029\pi\) | |||||||
\(114\) | −12.3933 | − | 1.86799i | −1.16074 | − | 0.174953i | ||||
\(115\) | 0.862532 | − | 0.588064i | 0.0804315 | − | 0.0548373i | ||||
\(116\) | 0.800819 | − | 1.38706i | 0.0743542 | − | 0.128785i | ||||
\(117\) | −2.83881 | − | 4.91696i | −0.262448 | − | 0.454574i | ||||
\(118\) | −10.5168 | − | 5.06461i | −0.968148 | − | 0.466235i | ||||
\(119\) | 5.54637 | + | 3.41849i | 0.508435 | + | 0.313373i | ||||
\(120\) | −0.225916 | + | 0.108795i | −0.0206232 | + | 0.00993162i | ||||
\(121\) | 11.8878 | + | 8.10493i | 1.08070 | + | 0.736812i | ||||
\(122\) | 13.0163 | + | 12.0774i | 1.17844 | + | 1.09344i | ||||
\(123\) | 2.64135 | + | 2.45082i | 0.238163 | + | 0.220983i | ||||
\(124\) | 15.1524 | + | 10.3307i | 1.36073 | + | 0.927728i | ||||
\(125\) | −2.03720 | + | 0.981066i | −0.182213 | + | 0.0877492i | ||||
\(126\) | 6.13124 | + | 0.637196i | 0.546215 | + | 0.0567659i | ||||
\(127\) | 4.74925 | + | 2.28712i | 0.421427 | + | 0.202949i | 0.632564 | − | 0.774508i | \(-0.282002\pi\) |
−0.211137 | + | 0.977456i | \(0.567717\pi\) | |||||||
\(128\) | −2.15308 | − | 3.72924i | −0.190307 | − | 0.329621i | ||||
\(129\) | 1.48293 | − | 2.56850i | 0.130564 | − | 0.226144i | ||||
\(130\) | 1.95086 | − | 1.33007i | 0.171102 | − | 0.116655i | ||||
\(131\) | −1.61551 | − | 0.243498i | −0.141147 | − | 0.0212745i | 0.0780885 | − | 0.996946i | \(-0.475118\pi\) |
−0.219236 | + | 0.975672i | \(0.570356\pi\) | |||||||
\(132\) | 5.15532 | − | 22.5869i | 0.448713 | − | 1.96594i | ||||
\(133\) | −4.63859 | + | 6.40014i | −0.402216 | + | 0.554962i | ||||
\(134\) | −5.49270 | − | 24.0651i | −0.474497 | − | 2.07891i | ||||
\(135\) | 0.0645903 | + | 0.861898i | 0.00555905 | + | 0.0741804i | ||||
\(136\) | −1.27766 | − | 0.394106i | −0.109559 | − | 0.0337943i | ||||
\(137\) | 1.24531 | + | 3.17299i | 0.106394 | + | 0.271087i | 0.974150 | − | 0.225904i | \(-0.0725335\pi\) |
−0.867756 | + | 0.496991i | \(0.834438\pi\) | |||||||
\(138\) | 18.4123 | − | 5.67945i | 1.56736 | − | 0.483467i | ||||
\(139\) | −9.49516 | − | 11.9065i | −0.805369 | − | 1.00990i | −0.999581 | − | 0.0289408i | \(-0.990787\pi\) |
0.194213 | − | 0.980959i | \(-0.437785\pi\) | |||||||
\(140\) | −0.0391245 | + | 1.36026i | −0.00330662 | + | 0.114963i | ||||
\(141\) | −7.10740 | + | 8.91240i | −0.598551 | + | 0.750559i | ||||
\(142\) | 1.96025 | − | 4.99463i | 0.164500 | − | 0.419140i | ||||
\(143\) | −1.89452 | + | 25.2806i | −0.158427 | + | 2.11407i | ||||
\(144\) | 3.79928 | − | 0.572650i | 0.316607 | − | 0.0477208i | ||||
\(145\) | −0.117922 | + | 0.109415i | −0.00979286 | + | 0.00908644i | ||||
\(146\) | −5.75846 | −0.476573 | ||||||||
\(147\) | 7.80771 | − | 11.8884i | 0.643969 | − | 0.980535i | ||||
\(148\) | −6.05957 | −0.498093 | ||||||||
\(149\) | −7.92270 | + | 7.35119i | −0.649053 | + | 0.602233i | −0.934415 | − | 0.356187i | \(-0.884077\pi\) |
0.285362 | + | 0.958420i | \(0.407886\pi\) | |||||||
\(150\) | −20.5272 | + | 3.09398i | −1.67604 | + | 0.252623i | ||||
\(151\) | 1.31752 | − | 17.5811i | 0.107218 | − | 1.43073i | −0.641134 | − | 0.767429i | \(-0.721536\pi\) |
0.748353 | − | 0.663301i | \(-0.230845\pi\) | |||||||
\(152\) | 0.592631 | − | 1.51000i | 0.0480687 | − | 0.122477i | ||||
\(153\) | 1.73255 | − | 2.17255i | 0.140069 | − | 0.175641i | ||||
\(154\) | −21.0172 | − | 17.7728i | −1.69361 | − | 1.43217i | ||||
\(155\) | −1.14842 | − | 1.44007i | −0.0922432 | − | 0.115669i | ||||
\(156\) | 22.1068 | − | 6.81906i | 1.76996 | − | 0.545961i | ||||
\(157\) | −0.510341 | − | 1.30033i | −0.0407296 | − | 0.103777i | 0.909062 | − | 0.416662i | \(-0.136800\pi\) |
−0.949791 | + | 0.312884i | \(0.898705\pi\) | |||||||
\(158\) | 9.47386 | + | 2.92230i | 0.753700 | + | 0.232486i | ||||
\(159\) | −0.669326 | − | 8.93154i | −0.0530810 | − | 0.708317i | ||||
\(160\) | 0.410475 | + | 1.79841i | 0.0324509 | + | 0.142177i | ||||
\(161\) | 2.15587 | − | 11.9591i | 0.169906 | − | 0.942513i | ||||
\(162\) | −5.10525 | + | 22.3676i | −0.401106 | + | 1.75736i | ||||
\(163\) | −1.92379 | − | 0.289964i | −0.150683 | − | 0.0227118i | 0.0732677 | − | 0.997312i | \(-0.476657\pi\) |
−0.223950 | + | 0.974601i | \(0.571895\pi\) | |||||||
\(164\) | −3.31577 | + | 2.26066i | −0.258918 | + | 0.176528i | ||||
\(165\) | −1.16345 | + | 2.01516i | −0.0905748 | + | 0.156880i | ||||
\(166\) | 7.13388 | + | 12.3562i | 0.553696 | + | 0.959030i | ||||
\(167\) | 20.7503 | + | 9.99282i | 1.60571 | + | 0.773267i | 0.999753 | − | 0.0222327i | \(-0.00707746\pi\) |
0.605953 | + | 0.795500i | \(0.292792\pi\) | |||||||
\(168\) | −0.940181 | + | 2.76329i | −0.0725366 | + | 0.213192i | ||||
\(169\) | −11.0956 | + | 5.34335i | −0.853507 | + | 0.411027i | ||||
\(170\) | 0.954811 | + | 0.650979i | 0.0732307 | + | 0.0499278i | ||||
\(171\) | 2.47130 | + | 2.29304i | 0.188985 | + | 0.175353i | ||||
\(172\) | 2.42143 | + | 2.24676i | 0.184632 | + | 0.171313i | ||||
\(173\) | 19.0337 | + | 12.9769i | 1.44710 | + | 0.986618i | 0.995536 | + | 0.0943809i | \(0.0300872\pi\) |
0.451567 | + | 0.892237i | \(0.350865\pi\) | |||||||
\(174\) | −2.67512 | + | 1.28827i | −0.202800 | + | 0.0976635i | ||||
\(175\) | −4.21704 | + | 12.3943i | −0.318779 | + | 0.936922i | ||||
\(176\) | −15.4570 | − | 7.44371i | −1.16512 | − | 0.561091i | ||||
\(177\) | 5.74353 | + | 9.94809i | 0.431710 | + | 0.747744i | ||||
\(178\) | −10.6067 | + | 18.3714i | −0.795008 | + | 1.37699i | ||||
\(179\) | 13.4982 | − | 9.20295i | 1.00891 | − | 0.687861i | 0.0583126 | − | 0.998298i | \(-0.481428\pi\) |
0.950594 | + | 0.310438i | \(0.100476\pi\) | |||||||
\(180\) | 0.573921 | + | 0.0865046i | 0.0427775 | + | 0.00644767i | ||||
\(181\) | −2.23430 | + | 9.78911i | −0.166074 | + | 0.727619i | 0.821467 | + | 0.570256i | \(0.193156\pi\) |
−0.987541 | + | 0.157362i | \(0.949701\pi\) | |||||||
\(182\) | 4.87612 | − | 27.0490i | 0.361442 | − | 2.00501i | ||||
\(183\) | −3.88831 | − | 17.0358i | −0.287432 | − | 1.25932i | ||||
\(184\) | 0.186364 | + | 2.48685i | 0.0137389 | + | 0.183333i | ||||
\(185\) | 0.581567 | + | 0.179390i | 0.0427576 | + | 0.0131890i | ||||
\(186\) | −12.4206 | − | 31.6473i | −0.910726 | − | 2.32049i | ||||
\(187\) | −11.8565 | + | 3.65726i | −0.867035 | + | 0.267445i | ||||
\(188\) | −7.91586 | − | 9.92617i | −0.577323 | − | 0.723940i | ||||
\(189\) | 7.68251 | + | 6.49658i | 0.558820 | + | 0.472556i | ||||
\(190\) | −0.874128 | + | 1.09612i | −0.0634159 | + | 0.0795211i | ||||
\(191\) | 0.613387 | − | 1.56288i | 0.0443831 | − | 0.113086i | −0.906963 | − | 0.421210i | \(-0.861606\pi\) |
0.951346 | + | 0.308123i | \(0.0997009\pi\) | |||||||
\(192\) | −1.51040 | + | 20.1550i | −0.109004 | + | 1.45456i | ||||
\(193\) | 3.81096 | − | 0.574410i | 0.274319 | − | 0.0413469i | −0.0104421 | − | 0.999945i | \(-0.503324\pi\) |
0.284761 | + | 0.958599i | \(0.408086\pi\) | |||||||
\(194\) | 0.753513 | − | 0.699158i | 0.0540991 | − | 0.0501966i | ||||
\(195\) | −2.32358 | −0.166395 | ||||||||
\(196\) | 10.9737 | + | 11.4241i | 0.783833 | + | 0.816008i | ||||
\(197\) | −1.66391 | −0.118549 | −0.0592744 | − | 0.998242i | \(-0.518879\pi\) | ||||
−0.0592744 | + | 0.998242i | \(0.518879\pi\) | |||||||
\(198\) | −8.60557 | + | 7.98480i | −0.611571 | + | 0.567455i | ||||
\(199\) | 26.2162 | − | 3.95146i | 1.85842 | − | 0.280112i | 0.878239 | − | 0.478221i | \(-0.158718\pi\) |
0.980180 | + | 0.198110i | \(0.0634802\pi\) | |||||||
\(200\) | 0.200782 | − | 2.67925i | 0.0141975 | − | 0.189452i | ||||
\(201\) | −8.87462 | + | 22.6122i | −0.625967 | + | 1.59494i | ||||
\(202\) | −0.457024 | + | 0.573090i | −0.0321561 | + | 0.0403225i | ||||
\(203\) | −0.0538368 | + | 1.87178i | −0.00377860 | + | 0.131373i | ||||
\(204\) | 7.05965 | + | 8.85252i | 0.494274 | + | 0.619800i | ||||
\(205\) | 0.385156 | − | 0.118805i | 0.0269005 | − | 0.00829770i | ||||
\(206\) | −6.05137 | − | 15.4186i | −0.421619 | − | 1.07427i | ||||
\(207\) | −4.95262 | − | 1.52768i | −0.344231 | − | 0.106181i | ||||
\(208\) | −1.28023 | − | 17.0835i | −0.0887683 | − | 1.18453i | ||||
\(209\) | −3.34965 | − | 14.6758i | −0.231700 | − | 1.01514i | ||||
\(210\) | 1.48045 | − | 2.04266i | 0.102161 | − | 0.140957i | ||||
\(211\) | 1.85114 | − | 8.11037i | 0.127438 | − | 0.558341i | −0.870384 | − | 0.492373i | \(-0.836129\pi\) |
0.997822 | − | 0.0659675i | \(-0.0210134\pi\) | |||||||
\(212\) | 9.86396 | + | 1.48675i | 0.677460 | + | 0.102111i | ||||
\(213\) | −4.36269 | + | 2.97443i | −0.298927 | + | 0.203805i | ||||
\(214\) | −21.2709 | + | 36.8423i | −1.45405 | + | 2.51849i | ||||
\(215\) | −0.165883 | − | 0.287317i | −0.0113131 | − | 0.0195949i | ||||
\(216\) | −1.86028 | − | 0.895863i | −0.126576 | − | 0.0609558i | ||||
\(217\) | −21.3262 | − | 2.21635i | −1.44772 | − | 0.150455i | ||||
\(218\) | −3.81869 | + | 1.83899i | −0.258635 | + | 0.124552i | ||||
\(219\) | 4.68218 | + | 3.19226i | 0.316392 | + | 0.215713i | ||||
\(220\) | −1.89977 | − | 1.76273i | −0.128082 | − | 0.118843i | ||||
\(221\) | −9.08252 | − | 8.42735i | −0.610957 | − | 0.566885i | ||||
\(222\) | 9.28146 | + | 6.32799i | 0.622931 | + | 0.424707i | ||||
\(223\) | −13.6100 | + | 6.55421i | −0.911390 | + | 0.438902i | −0.829989 | − | 0.557779i | \(-0.811654\pi\) |
−0.0814005 | + | 0.996681i | \(0.525939\pi\) | |||||||
\(224\) | 18.2797 | + | 11.2667i | 1.22137 | + | 0.752786i | ||||
\(225\) | 5.03090 | + | 2.42275i | 0.335393 | + | 0.161517i | ||||
\(226\) | −8.28636 | − | 14.3524i | −0.551200 | − | 0.954707i | ||||
\(227\) | 8.07507 | − | 13.9864i | 0.535961 | − | 0.928312i | −0.463155 | − | 0.886277i | \(-0.653283\pi\) |
0.999116 | − | 0.0420345i | \(-0.0133839\pi\) | |||||||
\(228\) | −11.3499 | + | 7.73825i | −0.751668 | + | 0.512478i | ||||
\(229\) | −4.87264 | − | 0.734432i | −0.321993 | − | 0.0485327i | −0.0139430 | − | 0.999903i | \(-0.504438\pi\) |
−0.308050 | + | 0.951370i | \(0.599676\pi\) | |||||||
\(230\) | 0.479620 | − | 2.10135i | 0.0316252 | − | 0.138559i | ||||
\(231\) | 7.23645 | + | 26.1020i | 0.476124 | + | 1.71739i | ||||
\(232\) | −0.0855118 | − | 0.374652i | −0.00561412 | − | 0.0245971i | ||||
\(233\) | −1.24102 | − | 16.5602i | −0.0813019 | − | 1.08490i | −0.877409 | − | 0.479743i | \(-0.840730\pi\) |
0.796107 | − | 0.605155i | \(-0.206889\pi\) | |||||||
\(234\) | −11.2018 | − | 3.45529i | −0.732283 | − | 0.225879i | ||||
\(235\) | 0.465866 | + | 1.18701i | 0.0303898 | + | 0.0774319i | ||||
\(236\) | −12.2253 | + | 3.77101i | −0.795800 | + | 0.245472i | ||||
\(237\) | −6.08315 | − | 7.62803i | −0.395143 | − | 0.495494i | ||||
\(238\) | 13.1954 | − | 2.61506i | 0.855329 | − | 0.169509i | ||||
\(239\) | 2.55561 | − | 3.20463i | 0.165309 | − | 0.207290i | −0.692277 | − | 0.721632i | \(-0.743392\pi\) |
0.857585 | + | 0.514342i | \(0.171964\pi\) | |||||||
\(240\) | 0.574472 | − | 1.46373i | 0.0370820 | − | 0.0944834i | ||||
\(241\) | 2.15116 | − | 28.7052i | 0.138568 | − | 1.84907i | −0.304419 | − | 0.952538i | \(-0.598462\pi\) |
0.442988 | − | 0.896528i | \(-0.353919\pi\) | |||||||
\(242\) | 29.3746 | − | 4.42752i | 1.88827 | − | 0.284611i | ||||
\(243\) | 8.18789 | − | 7.59725i | 0.525253 | − | 0.487364i | ||||
\(244\) | 19.4615 | 1.24590 | ||||||||
\(245\) | −0.714993 | − | 1.42130i | −0.0456792 | − | 0.0908034i | ||||
\(246\) | 7.43958 | 0.474330 | ||||||||
\(247\) | 11.0190 | − | 10.2241i | 0.701120 | − | 0.650544i | ||||
\(248\) | 4.35100 | − | 0.655808i | 0.276289 | − | 0.0416438i | ||||
\(249\) | 1.04927 | − | 14.0015i | 0.0664948 | − | 0.887311i | ||||
\(250\) | −1.70561 | + | 4.34582i | −0.107872 | + | 0.274854i | ||||
\(251\) | −10.4444 | + | 13.0968i | −0.659242 | + | 0.826663i | −0.993260 | − | 0.115903i | \(-0.963024\pi\) |
0.334019 | + | 0.942566i | \(0.391595\pi\) | |||||||
\(252\) | 5.40116 | − | 4.05884i | 0.340241 | − | 0.255683i | ||||
\(253\) | 14.4290 | + | 18.0934i | 0.907146 | + | 1.13753i | ||||
\(254\) | 10.4000 | − | 3.20799i | 0.652557 | − | 0.201287i | ||||
\(255\) | −0.415477 | − | 1.05862i | −0.0260181 | − | 0.0662932i | ||||
\(256\) | 10.5148 | + | 3.24339i | 0.657177 | + | 0.202712i | ||||
\(257\) | −0.968617 | − | 12.9253i | −0.0604207 | − | 0.806258i | −0.942297 | − | 0.334778i | \(-0.891339\pi\) |
0.881876 | − | 0.471481i | \(-0.156280\pi\) | |||||||
\(258\) | −1.36263 | − | 5.97006i | −0.0848334 | − | 0.371679i | ||||
\(259\) | 6.23469 | − | 3.36440i | 0.387405 | − | 0.209054i | ||||
\(260\) | 0.575858 | − | 2.52300i | 0.0357132 | − | 0.156470i | ||||
\(261\) | 0.789737 | + | 0.119034i | 0.0488835 | + | 0.00736800i | ||||
\(262\) | −2.78707 | + | 1.90019i | −0.172186 | + | 0.117394i | ||||
\(263\) | −3.11106 | + | 5.38852i | −0.191836 | + | 0.332270i | −0.945859 | − | 0.324578i | \(-0.894778\pi\) |
0.754023 | + | 0.656849i | \(0.228111\pi\) | |||||||
\(264\) | −2.77936 | − | 4.81400i | −0.171058 | − | 0.296281i | ||||
\(265\) | −0.902679 | − | 0.434708i | −0.0554512 | − | 0.0267039i | ||||
\(266\) | 1.96740 | + | 16.2010i | 0.120629 | + | 0.993347i | ||||
\(267\) | 18.8086 | − | 9.05776i | 1.15107 | − | 0.554326i | ||||
\(268\) | −22.3534 | − | 15.2403i | −1.36545 | − | 0.930949i | ||||
\(269\) | 15.5032 | + | 14.3849i | 0.945247 | + | 0.877061i | 0.992552 | − | 0.121819i | \(-0.0388728\pi\) |
−0.0473051 | + | 0.998880i | \(0.515063\pi\) | |||||||
\(270\) | 1.30817 | + | 1.21380i | 0.0796125 | + | 0.0738696i | ||||
\(271\) | −12.2823 | − | 8.37393i | −0.746096 | − | 0.508680i | 0.129586 | − | 0.991568i | \(-0.458635\pi\) |
−0.875682 | + | 0.482888i | \(0.839588\pi\) | |||||||
\(272\) | 7.55431 | − | 3.63796i | 0.458047 | − | 0.220584i | ||||
\(273\) | −18.9596 | + | 19.2903i | −1.14749 | + | 1.16750i | ||||
\(274\) | 6.34080 | + | 3.05357i | 0.383062 | + | 0.184473i | ||||
\(275\) | −12.4664 | − | 21.5925i | −0.751754 | − | 1.30208i | ||||
\(276\) | 10.5594 | − | 18.2894i | 0.635599 | − | 1.10089i | ||||
\(277\) | −17.6286 | + | 12.0190i | −1.05920 | + | 0.722151i | −0.961982 | − | 0.273112i | \(-0.911947\pi\) |
−0.0972190 | + | 0.995263i | \(0.530995\pi\) | |||||||
\(278\) | −31.0922 | − | 4.68639i | −1.86478 | − | 0.281071i | ||||
\(279\) | −2.03490 | + | 8.91549i | −0.121826 | + | 0.533757i | ||||
\(280\) | 0.215109 | + | 0.245633i | 0.0128552 | + | 0.0146794i | ||||
\(281\) | 5.58838 | + | 24.4843i | 0.333375 | + | 1.46061i | 0.812550 | + | 0.582891i | \(0.198079\pi\) |
−0.479176 | + | 0.877719i | \(0.659064\pi\) | |||||||
\(282\) | 1.75887 | + | 23.4705i | 0.104739 | + | 1.39765i | ||||
\(283\) | −13.7387 | − | 4.23782i | −0.816680 | − | 0.251912i | −0.141853 | − | 0.989888i | \(-0.545306\pi\) |
−0.674828 | + | 0.737975i | \(0.735782\pi\) | |||||||
\(284\) | −2.14849 | − | 5.47427i | −0.127490 | − | 0.324838i | ||||
\(285\) | 1.31840 | − | 0.406671i | 0.0780951 | − | 0.0240891i | ||||
\(286\) | 32.6354 | + | 40.9235i | 1.92977 | + | 2.41986i | ||||
\(287\) | 2.15643 | − | 4.16698i | 0.127290 | − | 0.245969i | ||||
\(288\) | 5.71015 | − | 7.16030i | 0.336474 | − | 0.421925i | ||||
\(289\) | −3.99535 | + | 10.1800i | −0.235021 | + | 0.598823i | ||||
\(290\) | −0.0248205 | + | 0.331207i | −0.00145751 | + | 0.0194491i | ||||
\(291\) | −1.00026 | + | 0.150765i | −0.0586365 | + | 0.00883803i | ||||
\(292\) | −4.62662 | + | 4.29288i | −0.270753 | + | 0.251222i | ||||
\(293\) | −15.0206 | −0.877512 | −0.438756 | − | 0.898606i | \(-0.644581\pi\) | ||||
−0.438756 | + | 0.898606i | \(0.644581\pi\) | |||||||
\(294\) | −4.87821 | − | 28.9581i | −0.284503 | − | 1.68887i | ||||
\(295\) | 1.28496 | 0.0748134 | ||||||||
\(296\) | −1.06578 | + | 0.988898i | −0.0619471 | + | 0.0574785i | ||||
\(297\) | −18.9466 | + | 2.85575i | −1.09940 | + | 0.165707i | ||||
\(298\) | −1.66759 | + | 22.2525i | −0.0966012 | + | 1.28905i | ||||
\(299\) | −8.44276 | + | 21.5118i | −0.488257 | + | 1.24406i | ||||
\(300\) | −14.1860 | + | 17.7887i | −0.819032 | + | 1.02703i | ||||
\(301\) | −3.73885 | − | 0.967257i | −0.215504 | − | 0.0557518i | ||||
\(302\) | −22.6959 | − | 28.4598i | −1.30600 | − | 1.63768i | ||||
\(303\) | 0.689302 | − | 0.212622i | 0.0395994 | − | 0.0122148i | ||||
\(304\) | 3.71636 | + | 9.46913i | 0.213148 | + | 0.543092i | ||||
\(305\) | −1.86782 | − | 0.576146i | −0.106951 | − | 0.0329901i | ||||
\(306\) | −0.428755 | − | 5.72134i | −0.0245103 | − | 0.327067i | ||||
\(307\) | −1.54569 | − | 6.77213i | −0.0882174 | − | 0.386506i | 0.911474 | − | 0.411358i | \(-0.134946\pi\) |
−0.999691 | + | 0.0248526i | \(0.992088\pi\) | |||||||
\(308\) | −30.1357 | + | 1.38859i | −1.71714 | + | 0.0791222i | ||||
\(309\) | −3.62712 | + | 15.8915i | −0.206340 | + | 0.904034i | ||||
\(310\) | −3.76053 | − | 0.566809i | −0.213584 | − | 0.0321926i | ||||
\(311\) | −8.92284 | + | 6.08349i | −0.505968 | + | 0.344963i | −0.789248 | − | 0.614074i | \(-0.789530\pi\) |
0.283281 | + | 0.959037i | \(0.408577\pi\) | |||||||
\(312\) | 2.77539 | − | 4.80711i | 0.157125 | − | 0.272149i | ||||
\(313\) | −5.85713 | − | 10.1448i | −0.331065 | − | 0.573421i | 0.651656 | − | 0.758514i | \(-0.274074\pi\) |
−0.982721 | + | 0.185094i | \(0.940741\pi\) | |||||||
\(314\) | −2.59853 | − | 1.25139i | −0.146644 | − | 0.0706199i | ||||
\(315\) | −0.638536 | + | 0.229649i | −0.0359774 | + | 0.0129392i | ||||
\(316\) | 9.79031 | − | 4.71476i | 0.550748 | − | 0.265226i | ||||
\(317\) | 18.6699 | + | 12.7289i | 1.04861 | + | 0.714927i | 0.959675 | − | 0.281110i | \(-0.0907027\pi\) |
0.0889305 | + | 0.996038i | \(0.471655\pi\) | |||||||
\(318\) | −13.5561 | − | 12.5782i | −0.760186 | − | 0.705350i | ||||
\(319\) | −2.61416 | − | 2.42558i | −0.146365 | − | 0.135807i | ||||
\(320\) | 1.86803 | + | 1.27360i | 0.104426 | + | 0.0711966i | ||||
\(321\) | 37.7191 | − | 18.1646i | 2.10528 | − | 1.01385i | ||||
\(322\) | −13.5319 | − | 21.1281i | −0.754101 | − | 1.17742i | ||||
\(323\) | 6.62837 | + | 3.19205i | 0.368812 | + | 0.177611i | ||||
\(324\) | 12.5730 | + | 21.7771i | 0.698501 | + | 1.20984i | ||||
\(325\) | 12.4486 | − | 21.5616i | 0.690523 | − | 1.19602i | ||||
\(326\) | −3.31892 | + | 2.26280i | −0.183818 | + | 0.125325i | ||||
\(327\) | 4.12442 | + | 0.621657i | 0.228081 | + | 0.0343777i | ||||
\(328\) | −0.214260 | + | 0.938734i | −0.0118305 | + | 0.0518329i | ||||
\(329\) | 13.6558 | + | 5.81798i | 0.752871 | + | 0.320755i | ||||
\(330\) | 1.06907 | + | 4.68391i | 0.0588504 | + | 0.257840i | ||||
\(331\) | 1.01634 | + | 13.5622i | 0.0558632 | + | 0.745443i | 0.952861 | + | 0.303408i | \(0.0981244\pi\) |
−0.896998 | + | 0.442035i | \(0.854257\pi\) | |||||||
\(332\) | 14.9432 | + | 4.60936i | 0.820113 | + | 0.252971i | ||||
\(333\) | −1.10392 | − | 2.81273i | −0.0604943 | − | 0.154137i | ||||
\(334\) | 45.4396 | − | 14.0163i | 2.48635 | − | 0.766936i | ||||
\(335\) | 1.69419 | + | 2.12445i | 0.0925635 | + | 0.116071i | ||||
\(336\) | −7.46438 | − | 16.7128i | −0.407215 | − | 0.911759i | ||||
\(337\) | 5.06821 | − | 6.35533i | 0.276083 | − | 0.346197i | −0.624387 | − | 0.781115i | \(-0.714651\pi\) |
0.900470 | + | 0.434918i | \(0.143223\pi\) | |||||||
\(338\) | −9.28956 | + | 23.6694i | −0.505286 | + | 1.28745i | ||||
\(339\) | −1.21878 | + | 16.2635i | −0.0661951 | + | 0.883312i | ||||
\(340\) | 1.25244 | − | 0.188775i | 0.0679231 | − | 0.0102378i | ||||
\(341\) | 29.9326 | − | 27.7734i | 1.62094 | − | 1.50401i | ||||
\(342\) | 6.96062 | 0.376387 | ||||||||
\(343\) | −17.6337 | − | 5.66146i | −0.952131 | − | 0.305690i | ||||
\(344\) | 0.792551 | 0.0427315 | ||||||||
\(345\) | −1.55488 | + | 1.44272i | −0.0837120 | + | 0.0776733i | ||||
\(346\) | 47.0322 | − | 7.08896i | 2.52847 | − | 0.381105i | ||||
\(347\) | −0.895690 | + | 11.9522i | −0.0480832 | + | 0.641625i | 0.920148 | + | 0.391570i | \(0.128068\pi\) |
−0.968232 | + | 0.250055i | \(0.919551\pi\) | |||||||
\(348\) | −1.18893 | + | 3.02934i | −0.0637332 | + | 0.162390i | ||||
\(349\) | 10.8397 | − | 13.5925i | 0.580235 | − | 0.727592i | −0.401918 | − | 0.915676i | \(-0.631656\pi\) |
0.982153 | + | 0.188084i | \(0.0602277\pi\) | |||||||
\(350\) | 11.0233 | + | 24.6814i | 0.589223 | + | 1.31928i | ||||
\(351\) | −11.9294 | − | 14.9590i | −0.636743 | − | 0.798450i | ||||
\(352\) | −39.0768 | + | 12.0536i | −2.08280 | + | 0.642458i | ||||
\(353\) | −8.01626 | − | 20.4251i | −0.426663 | − | 1.08712i | −0.969022 | − | 0.246973i | \(-0.920564\pi\) |
0.542360 | − | 0.840146i | \(-0.317531\pi\) | |||||||
\(354\) | 22.6636 | + | 6.99080i | 1.20456 | + | 0.371557i | ||||
\(355\) | 0.0441393 | + | 0.588998i | 0.00234267 | + | 0.0312608i | ||||
\(356\) | 5.17375 | + | 22.6677i | 0.274208 | + | 1.20138i | ||||
\(357\) | −12.1788 | − | 5.18868i | −0.644569 | − | 0.274614i | ||||
\(358\) | 7.50584 | − | 32.8852i | 0.396696 | − | 1.73804i | ||||
\(359\) | 3.85236 | + | 0.580650i | 0.203320 | + | 0.0306455i | 0.249912 | − | 0.968268i | \(-0.419598\pi\) |
−0.0465926 | + | 0.998914i | \(0.514836\pi\) | |||||||
\(360\) | 0.115060 | − | 0.0784469i | 0.00606422 | − | 0.00413451i | ||||
\(361\) | 5.03727 | − | 8.72480i | 0.265119 | − | 0.459200i | ||||
\(362\) | 10.3657 | + | 17.9538i | 0.544807 | + | 0.943633i | ||||
\(363\) | −26.3388 | − | 12.6841i | −1.38243 | − | 0.665744i | ||||
\(364\) | −16.2471 | − | 25.3676i | −0.851579 | − | 1.32962i | ||||
\(365\) | 0.571128 | − | 0.275041i | 0.0298942 | − | 0.0143963i | ||||
\(366\) | −29.8093 | − | 20.3236i | −1.55816 | − | 1.06233i | ||||
\(367\) | 9.47776 | + | 8.79407i | 0.494735 | + | 0.459047i | 0.887644 | − | 0.460530i | \(-0.152341\pi\) |
−0.392909 | + | 0.919577i | \(0.628531\pi\) | |||||||
\(368\) | −11.4639 | − | 10.6370i | −0.597599 | − | 0.554491i | ||||
\(369\) | −1.65341 | − | 1.12728i | −0.0860732 | − | 0.0586837i | ||||
\(370\) | 1.13214 | − | 0.545212i | 0.0588574 | − | 0.0283442i | ||||
\(371\) | −10.9745 | + | 3.94697i | −0.569768 | + | 0.204916i | ||||
\(372\) | −33.5721 | − | 16.1675i | −1.74063 | − | 0.838245i | ||||
\(373\) | 10.8513 | + | 18.7949i | 0.561857 | + | 0.973164i | 0.997335 | + | 0.0729647i | \(0.0232460\pi\) |
−0.435478 | + | 0.900199i | \(0.643421\pi\) | |||||||
\(374\) | −12.8091 | + | 22.1861i | −0.662345 | + | 1.14722i | ||||
\(375\) | 3.79597 | − | 2.58805i | 0.196023 | − | 0.133646i | ||||
\(376\) | −3.01218 | − | 0.454013i | −0.155341 | − | 0.0234140i | ||||
\(377\) | 0.792403 | − | 3.47174i | 0.0408108 | − | 0.178804i | ||||
\(378\) | 20.7512 | − | 0.956171i | 1.06733 | − | 0.0491801i | ||||
\(379\) | 4.05550 | + | 17.7683i | 0.208317 | + | 0.912697i | 0.965687 | + | 0.259710i | \(0.0836271\pi\) |
−0.757369 | + | 0.652987i | \(0.773516\pi\) | |||||||
\(380\) | 0.114832 | + | 1.53233i | 0.00589078 | + | 0.0786070i | ||||
\(381\) | −10.2346 | − | 3.15696i | −0.524335 | − | 0.161736i | ||||
\(382\) | −1.26646 | − | 3.22688i | −0.0647976 | − | 0.165102i | ||||
\(383\) | −18.0705 | + | 5.57400i | −0.923357 | + | 0.284818i | −0.719749 | − | 0.694235i | \(-0.755743\pi\) |
−0.203608 | + | 0.979052i | \(0.565267\pi\) | |||||||
\(384\) | 5.45521 | + | 6.84062i | 0.278385 | + | 0.349084i | ||||
\(385\) | 2.93338 | + | 0.758877i | 0.149499 | + | 0.0386760i | ||||
\(386\) | 4.96133 | − | 6.22131i | 0.252525 | − | 0.316656i | ||||
\(387\) | −0.601771 | + | 1.53329i | −0.0305897 | + | 0.0779414i | ||||
\(388\) | 0.0841928 | − | 1.12347i | 0.00427424 | − | 0.0570358i | ||||
\(389\) | −24.2559 | + | 3.65598i | −1.22982 | + | 0.185366i | −0.731630 | − | 0.681702i | \(-0.761240\pi\) |
−0.498191 | + | 0.867067i | \(0.666002\pi\) | |||||||
\(390\) | −3.51680 | + | 3.26312i | −0.178080 | + | 0.165234i | ||||
\(391\) | −11.3104 | −0.571990 | ||||||||
\(392\) | 3.79446 | + | 0.218456i | 0.191649 | + | 0.0110337i | ||||
\(393\) | 3.31955 | 0.167449 | ||||||||
\(394\) | −2.51838 | + | 2.33672i | −0.126874 | + | 0.117722i | ||||
\(395\) | −1.07920 | + | 0.162664i | −0.0543006 | + | 0.00818449i | ||||
\(396\) | −0.961532 | + | 12.8308i | −0.0483188 | + | 0.644770i | ||||
\(397\) | 10.3814 | − | 26.4514i | 0.521028 | − | 1.32756i | −0.392115 | − | 0.919916i | \(-0.628256\pi\) |
0.913142 | − | 0.407641i | \(-0.133648\pi\) | |||||||
\(398\) | 34.1298 | − | 42.7974i | 1.71077 | − | 2.14524i | ||||
\(399\) | 7.38150 | − | 14.2636i | 0.369537 | − | 0.714074i | ||||
\(400\) | 10.5049 | + | 13.1727i | 0.525246 | + | 0.658637i | ||||
\(401\) | 21.7793 | − | 6.71804i | 1.08761 | − | 0.335483i | 0.301434 | − | 0.953487i | \(-0.402535\pi\) |
0.786175 | + | 0.618004i | \(0.212059\pi\) | |||||||
\(402\) | 18.3234 | + | 46.6873i | 0.913888 | + | 2.32855i | ||||
\(403\) | 38.9629 | + | 12.0185i | 1.94088 | + | 0.598682i | ||||
\(404\) | 0.0600383 | + | 0.801156i | 0.00298702 | + | 0.0398590i | ||||
\(405\) | −0.561998 | − | 2.46227i | −0.0279259 | − | 0.122351i | ||||
\(406\) | 2.54715 | + | 2.90860i | 0.126413 | + | 0.144351i | ||||
\(407\) | −3.00224 | + | 13.1537i | −0.148815 | + | 0.652003i | ||||
\(408\) | 2.68637 | + | 0.404906i | 0.132995 | + | 0.0200458i | ||||
\(409\) | −25.4353 | + | 17.3415i | −1.25769 | + | 0.857481i | −0.994238 | − | 0.107191i | \(-0.965814\pi\) |
−0.263455 | + | 0.964672i | \(0.584862\pi\) | |||||||
\(410\) | 0.416102 | − | 0.720710i | 0.0205498 | − | 0.0355933i | ||||
\(411\) | −3.46290 | − | 5.99793i | −0.170812 | − | 0.295856i | ||||
\(412\) | −16.3564 | − | 7.87684i | −0.805823 | − | 0.388064i | ||||
\(413\) | 10.4849 | − | 10.6677i | 0.515927 | − | 0.524926i | ||||
\(414\) | −9.64135 | + | 4.64303i | −0.473846 | + | 0.228192i | ||||
\(415\) | −1.29771 | − | 0.884766i | −0.0637022 | − | 0.0434315i | ||||
\(416\) | −29.9342 | − | 27.7749i | −1.46764 | − | 1.36177i | ||||
\(417\) | 22.6830 | + | 21.0467i | 1.11079 | + | 1.03066i | ||||
\(418\) | −25.6797 | − | 17.5081i | −1.25604 | − | 0.856350i | ||||
\(419\) | −30.9123 | + | 14.8866i | −1.51016 | + | 0.727256i | −0.991787 | − | 0.127897i | \(-0.959177\pi\) |
−0.518376 | + | 0.855153i | \(0.673463\pi\) | |||||||
\(420\) | −0.333324 | − | 2.74484i | −0.0162646 | − | 0.133934i | ||||
\(421\) | 2.45681 | + | 1.18314i | 0.119738 | + | 0.0576626i | 0.492794 | − | 0.870146i | \(-0.335976\pi\) |
−0.373056 | + | 0.927809i | \(0.621690\pi\) | |||||||
\(422\) | −8.58805 | − | 14.8749i | −0.418060 | − | 0.724101i | ||||
\(423\) | 3.16545 | − | 5.48271i | 0.153909 | − | 0.266579i | ||||
\(424\) | 1.97754 | − | 1.34827i | 0.0960379 | − | 0.0654775i | ||||
\(425\) | 12.0493 | + | 1.81614i | 0.584478 | + | 0.0880959i | ||||
\(426\) | −2.42592 | + | 10.6286i | −0.117536 | + | 0.514959i | ||||
\(427\) | −20.0240 | + | 10.8055i | −0.969028 | + | 0.522913i | ||||
\(428\) | 10.3755 | + | 45.4581i | 0.501520 | + | 2.19730i | ||||
\(429\) | −3.84938 | − | 51.3664i | −0.185850 | − | 2.48000i | ||||
\(430\) | −0.654562 | − | 0.201906i | −0.0315658 | − | 0.00973676i | ||||
\(431\) | 6.26362 | + | 15.9594i | 0.301708 | + | 0.768740i | 0.998666 | + | 0.0516280i | \(0.0164410\pi\) |
−0.696958 | + | 0.717112i | \(0.745464\pi\) | |||||||
\(432\) | 12.3727 | − | 3.81648i | 0.595283 | − | 0.183620i | ||||
\(433\) | 18.6888 | + | 23.4351i | 0.898128 | + | 1.12622i | 0.991438 | + | 0.130580i | \(0.0416839\pi\) |
−0.0933098 | + | 0.995637i | \(0.529745\pi\) | |||||||
\(434\) | −35.3903 | + | 26.5949i | −1.69879 | + | 1.27660i | ||||
\(435\) | 0.203789 | − | 0.255543i | 0.00977093 | − | 0.0122524i | ||||
\(436\) | −1.69718 | + | 4.32433i | −0.0812800 | + | 0.207098i | ||||
\(437\) | 1.02543 | − | 13.6834i | 0.0490530 | − | 0.654567i | ||||
\(438\) | 11.5697 | − | 1.74385i | 0.552820 | − | 0.0833242i | ||||
\(439\) | −0.156532 | + | 0.145240i | −0.00747085 | + | 0.00693194i | −0.683899 | − | 0.729576i | \(-0.739717\pi\) |
0.676428 | + | 0.736508i | \(0.263527\pi\) | |||||||
\(440\) | −0.621809 | −0.0296436 | ||||||||
\(441\) | −3.30370 | + | 7.17498i | −0.157319 | + | 0.341666i | ||||
\(442\) | −25.5816 | −1.21679 | ||||||||
\(443\) | 7.42830 | − | 6.89245i | 0.352929 | − | 0.327470i | −0.483706 | − | 0.875230i | \(-0.660710\pi\) |
0.836636 | + | 0.547760i | \(0.184519\pi\) | |||||||
\(444\) | 12.1746 | − | 1.83503i | 0.577783 | − | 0.0870868i | ||||
\(445\) | 0.174512 | − | 2.32870i | 0.00827265 | − | 0.110391i | ||||
\(446\) | −11.3947 | + | 29.0331i | −0.539553 | + | 1.37476i | ||||
\(447\) | 13.6918 | − | 17.1690i | 0.647600 | − | 0.812065i | ||||
\(448\) | 25.8160 | − | 5.11622i | 1.21969 | − | 0.241718i | ||||
\(449\) | −4.44189 | − | 5.56996i | −0.209626 | − | 0.262862i | 0.665892 | − | 0.746048i | \(-0.268051\pi\) |
−0.875518 | + | 0.483186i | \(0.839480\pi\) | |||||||
\(450\) | 11.0168 | − | 3.39824i | 0.519337 | − | 0.160194i | ||||
\(451\) | 3.26445 | + | 8.31769i | 0.153717 | + | 0.391665i | ||||
\(452\) | −17.3572 | − | 5.35400i | −0.816416 | − | 0.251831i | ||||
\(453\) | 2.67701 | + | 35.7222i | 0.125777 | + | 1.67838i | ||||
\(454\) | −7.41999 | − | 32.5091i | −0.348237 | − | 1.52573i | ||||
\(455\) | 0.808323 | + | 2.91564i | 0.0378948 | + | 0.136687i | ||||
\(456\) | −0.733414 | + | 3.21330i | −0.0343453 | + | 0.150476i | ||||
\(457\) | −8.56621 | − | 1.29115i | −0.400711 | − | 0.0603974i | −0.0544045 | − | 0.998519i | \(-0.517326\pi\) |
−0.346306 | + | 0.938122i | \(0.612564\pi\) | |||||||
\(458\) | −8.40629 | + | 5.73131i | −0.392800 | + | 0.267807i | ||||
\(459\) | 4.68219 | − | 8.10979i | 0.218546 | − | 0.378533i | ||||
\(460\) | −1.18119 | − | 2.04588i | −0.0550732 | − | 0.0953896i | ||||
\(461\) | 8.95670 | + | 4.31332i | 0.417155 | + | 0.200891i | 0.630674 | − | 0.776048i | \(-0.282778\pi\) |
−0.213519 | + | 0.976939i | \(0.568493\pi\) | |||||||
\(462\) | 47.6090 | + | 29.3437i | 2.21497 | + | 1.36519i | ||||
\(463\) | −19.2129 | + | 9.25247i | −0.892901 | + | 0.429999i | −0.823320 | − | 0.567578i | \(-0.807881\pi\) |
−0.0695815 | + | 0.997576i | \(0.522166\pi\) | |||||||
\(464\) | 1.99110 | + | 1.35751i | 0.0924347 | + | 0.0630209i | ||||
\(465\) | 2.74346 | + | 2.54556i | 0.127225 | + | 0.118047i | ||||
\(466\) | −25.1347 | − | 23.3216i | −1.16434 | − | 1.08035i | ||||
\(467\) | 0.0962343 | + | 0.0656115i | 0.00445319 | + | 0.00303614i | 0.565545 | − | 0.824718i | \(-0.308666\pi\) |
−0.561091 | + | 0.827754i | \(0.689618\pi\) | |||||||
\(468\) | −11.5759 | + | 5.57468i | −0.535098 | + | 0.257689i | ||||
\(469\) | 31.4612 | + | 3.26964i | 1.45274 | + | 0.150978i | ||||
\(470\) | 2.37208 | + | 1.14233i | 0.109416 | + | 0.0526919i | ||||
\(471\) | 1.41914 | + | 2.45802i | 0.0653904 | + | 0.113260i | ||||
\(472\) | −1.53482 | + | 2.65838i | −0.0706457 | + | 0.122362i | ||||
\(473\) | 6.07680 | − | 4.14309i | 0.279412 | − | 0.190500i | ||||
\(474\) | −19.9195 | − | 3.00238i | −0.914932 | − | 0.137904i | ||||
\(475\) | −3.28962 | + | 14.4128i | −0.150938 | + | 0.661303i | ||||
\(476\) | 8.65229 | − | 11.9381i | 0.396577 | − | 0.547182i | ||||
\(477\) | 1.10687 | + | 4.84951i | 0.0506801 | + | 0.222044i | ||||
\(478\) | −0.632436 | − | 8.43928i | −0.0289270 | − | 0.386003i | ||||
\(479\) | 7.92658 | + | 2.44503i | 0.362175 | + | 0.111716i | 0.470501 | − | 0.882399i | \(-0.344073\pi\) |
−0.108327 | + | 0.994115i | \(0.534549\pi\) | |||||||
\(480\) | −1.36933 | − | 3.48899i | −0.0625010 | − | 0.159250i | ||||
\(481\) | −12.8741 | + | 3.97113i | −0.587007 | + | 0.181068i | ||||
\(482\) | −37.0564 | − | 46.4672i | −1.68787 | − | 2.11652i | ||||
\(483\) | −0.709877 | + | 24.6807i | −0.0323005 | + | 1.12301i | ||||
\(484\) | 20.3003 | − | 25.4558i | 0.922743 | − | 1.15708i | ||||
\(485\) | −0.0413402 | + | 0.105333i | −0.00187716 | + | 0.00478293i | ||||
\(486\) | 1.72341 | − | 22.9973i | 0.0781756 | − | 1.04318i | ||||
\(487\) | −22.3900 | + | 3.37475i | −1.01459 | + | 0.152924i | −0.635228 | − | 0.772325i | \(-0.719094\pi\) |
−0.379360 | + | 0.925249i | \(0.623856\pi\) | |||||||
\(488\) | 3.42297 | − | 3.17605i | 0.154950 | − | 0.143773i | ||||
\(489\) | 3.95301 | 0.178761 | ||||||||
\(490\) | −3.07816 | − | 1.14708i | −0.139057 | − | 0.0518196i | ||||
\(491\) | 23.0338 | 1.03950 | 0.519751 | − | 0.854318i | \(-0.326025\pi\) | ||||
0.519751 | + | 0.854318i | \(0.326025\pi\) | |||||||
\(492\) | 5.97732 | − | 5.54614i | 0.269478 | − | 0.250039i | ||||
\(493\) | 1.72341 | − | 0.259762i | 0.0776184 | − | 0.0116991i | ||||
\(494\) | 2.31930 | − | 30.9490i | 0.104350 | − | 1.39246i | ||||
\(495\) | 0.472129 | − | 1.20297i | 0.0212206 | − | 0.0540693i | ||||
\(496\) | −17.2040 | + | 21.5732i | −0.772483 | + | 0.968663i | ||||
\(497\) | 5.25002 | + | 4.43959i | 0.235496 | + | 0.199143i | ||||
\(498\) | −18.0750 | − | 22.6653i | −0.809959 | − | 1.01566i | ||||
\(499\) | −8.02980 | + | 2.47686i | −0.359463 | + | 0.110880i | −0.469226 | − | 0.883078i | \(-0.655467\pi\) |
0.109763 | + | 0.993958i | \(0.464991\pi\) | |||||||
\(500\) | 1.86940 | + | 4.76316i | 0.0836022 | + | 0.213015i | ||||
\(501\) | −44.7168 | − | 13.7933i | −1.99780 | − | 0.616240i | ||||
\(502\) | 2.58466 | + | 34.4899i | 0.115359 | + | 1.53936i | ||||
\(503\) | 5.84482 | + | 25.6078i | 0.260607 | + | 1.14180i | 0.920595 | + | 0.390519i | \(0.127704\pi\) |
−0.659987 | + | 0.751277i | \(0.729438\pi\) | |||||||
\(504\) | 0.287590 | − | 1.59533i | 0.0128103 | − | 0.0710617i | ||||
\(505\) | 0.0179555 | − | 0.0786683i | 0.000799011 | − | 0.00350069i | ||||
\(506\) | 47.2483 | + | 7.12154i | 2.10044 | + | 0.316591i | ||||
\(507\) | 20.6747 | − | 14.0958i | 0.918195 | − | 0.626015i | ||||
\(508\) | 5.96437 | − | 10.3306i | 0.264626 | − | 0.458346i | ||||
\(509\) | 0.971128 | + | 1.68204i | 0.0430445 | + | 0.0745553i | 0.886745 | − | 0.462259i | \(-0.152961\pi\) |
−0.843700 | + | 0.536814i | \(0.819628\pi\) | |||||||
\(510\) | −2.11551 | − | 1.01877i | −0.0936762 | − | 0.0451121i | ||||
\(511\) | 2.37683 | − | 6.98575i | 0.105145 | − | 0.309031i | ||||
\(512\) | 28.2288 | − | 13.5943i | 1.24755 | − | 0.600788i | ||||
\(513\) | 9.38683 | + | 6.39983i | 0.414439 | + | 0.282559i | ||||
\(514\) | −19.6177 | − | 18.2026i | −0.865299 | − | 0.802880i | ||||
\(515\) | 1.33662 | + | 1.24020i | 0.0588984 | + | 0.0546498i | ||||
\(516\) | −5.54542 | − | 3.78081i | −0.244124 | − | 0.166441i | ||||
\(517\) | −25.4690 | + | 12.2652i | −1.12012 | + | 0.539423i | ||||
\(518\) | 4.71158 | − | 13.8478i | 0.207015 | − | 0.608438i | ||||
\(519\) | −42.1715 | − | 20.3087i | −1.85112 | − | 0.891455i | ||||
\(520\) | −0.310459 | − | 0.537732i | −0.0136145 | − | 0.0235811i | ||||
\(521\) | −1.14420 | + | 1.98182i | −0.0501284 | + | 0.0868249i | −0.890001 | − | 0.455959i | \(-0.849296\pi\) |
0.839872 | + | 0.542784i | \(0.182630\pi\) | |||||||
\(522\) | 1.36246 | − | 0.928907i | 0.0596331 | − | 0.0406572i | ||||
\(523\) | 21.9439 | + | 3.30751i | 0.959541 | + | 0.144627i | 0.610094 | − | 0.792329i | \(-0.291132\pi\) |
0.349446 | + | 0.936956i | \(0.386370\pi\) | |||||||
\(524\) | −0.822691 | + | 3.60445i | −0.0359394 | + | 0.157461i | ||||
\(525\) | 4.71932 | − | 26.1792i | 0.205968 | − | 1.14256i | ||||
\(526\) | 2.85868 | + | 12.5247i | 0.124644 | + | 0.546103i | ||||
\(527\) | 1.49133 | + | 19.9004i | 0.0649633 | + | 0.866876i | ||||
\(528\) | 33.3098 | + | 10.2747i | 1.44962 | + | 0.447150i | ||||
\(529\) | −0.695767 | − | 1.77279i | −0.0302507 | − | 0.0770776i | ||||
\(530\) | −1.97671 | + | 0.609736i | −0.0858630 | + | 0.0264852i | ||||
\(531\) | −3.97761 | − | 4.98776i | −0.172613 | − | 0.216450i | ||||
\(532\) | 13.6584 | + | 11.5500i | 0.592167 | + | 0.500756i | ||||
\(533\) | −5.56313 | + | 6.97594i | −0.240966 | + | 0.302162i | ||||
\(534\) | 15.7472 | − | 40.1231i | 0.681446 | − | 1.73630i | ||||
\(535\) | 0.349968 | − | 4.67000i | 0.0151305 | − | 0.201902i | ||||
\(536\) | −6.41876 | + | 0.967472i | −0.277248 | + | 0.0417884i | ||||
\(537\) | −24.3332 | + | 22.5779i | −1.05005 | + | 0.974309i | ||||
\(538\) | 43.6660 | 1.88257 | ||||||||
\(539\) | 30.2356 | − | 18.1607i | 1.30234 | − | 0.782236i | ||||
\(540\) | 1.95592 | 0.0841695 | ||||||||
\(541\) | 6.23981 | − | 5.78969i | 0.268270 | − | 0.248918i | −0.534554 | − | 0.845134i | \(-0.679520\pi\) |
0.802824 | + | 0.596216i | \(0.203330\pi\) | |||||||
\(542\) | −30.3496 | + | 4.57446i | −1.30362 | + | 0.196490i | ||||
\(543\) | 1.52461 | − | 20.3445i | 0.0654273 | − | 0.873066i | ||||
\(544\) | 7.30167 | − | 18.6043i | 0.313056 | − | 0.797655i | ||||
\(545\) | 0.290906 | − | 0.364784i | 0.0124610 | − | 0.0156256i | ||||
\(546\) | −1.60559 | + | 55.8225i | −0.0687128 | + | 2.38898i | ||||
\(547\) | 5.86827 | + | 7.35858i | 0.250909 | + | 0.314630i | 0.891296 | − | 0.453423i | \(-0.149797\pi\) |
−0.640386 | + | 0.768053i | \(0.721226\pi\) | |||||||
\(548\) | 7.37091 | − | 2.27363i | 0.314870 | − | 0.0971245i | ||||
\(549\) | 3.54545 | + | 9.03367i | 0.151316 | + | 0.385548i | ||||
\(550\) | −49.1917 | − | 15.1736i | −2.09754 | − | 0.647006i | ||||
\(551\) | 0.158014 | + | 2.10855i | 0.00673162 | + | 0.0898273i | ||||
\(552\) | −1.12753 | − | 4.94005i | −0.0479910 | − | 0.210262i | ||||
\(553\) | −7.45550 | + | 10.2868i | −0.317040 | + | 0.437440i | ||||
\(554\) | −9.80257 | + | 42.9479i | −0.416471 | + | 1.82468i | ||||
\(555\) | −1.22279 | − | 0.184305i | −0.0519044 | − | 0.00782333i | ||||
\(556\) | −28.4746 | + | 19.4137i | −1.20759 | + | 0.823323i | ||||
\(557\) | 15.0441 | − | 26.0572i | 0.637440 | − | 1.10408i | −0.348552 | − | 0.937289i | \(-0.613327\pi\) |
0.985993 | − | 0.166789i | \(-0.0533400\pi\) | |||||||
\(558\) | 9.44059 | + | 16.3516i | 0.399652 | + | 0.692218i | ||||
\(559\) | 6.61694 | + | 3.18655i | 0.279867 | + | 0.134777i | ||||
\(560\) | −2.03655 | − | 0.211650i | −0.0860597 | − | 0.00894385i | ||||
\(561\) | 22.7141 | − | 10.9386i | 0.958992 | − | 0.461826i | ||||
\(562\) | 42.8427 | + | 29.2097i | 1.80721 | + | 1.23214i | ||||
\(563\) | −19.8632 | − | 18.4303i | −0.837133 | − | 0.776746i | 0.139825 | − | 0.990176i | \(-0.455346\pi\) |
−0.976958 | + | 0.213430i | \(0.931536\pi\) | |||||||
\(564\) | 18.9102 | + | 17.5461i | 0.796263 | + | 0.738824i | ||||
\(565\) | 1.50736 | + | 1.02770i | 0.0634151 | + | 0.0432357i | ||||
\(566\) | −26.7453 | + | 12.8799i | −1.12419 | + | 0.541381i | ||||
\(567\) | −25.0275 | − | 15.4256i | −1.05106 | − | 0.647816i | ||||
\(568\) | −1.27127 | − | 0.612209i | −0.0533411 | − | 0.0256877i | ||||
\(569\) | 1.16041 | + | 2.00989i | 0.0486469 | + | 0.0842589i | 0.889324 | − | 0.457279i | \(-0.151176\pi\) |
−0.840677 | + | 0.541537i | \(0.817842\pi\) | |||||||
\(570\) | 1.42432 | − | 2.46700i | 0.0596583 | − | 0.103331i | ||||
\(571\) | 23.0695 | − | 15.7285i | 0.965426 | − | 0.658217i | 0.0255292 | − | 0.999674i | \(-0.491873\pi\) |
0.939897 | + | 0.341457i | \(0.110921\pi\) | |||||||
\(572\) | 56.7289 | + | 8.55051i | 2.37196 | + | 0.357515i | ||||
\(573\) | −0.759101 | + | 3.32584i | −0.0317119 | + | 0.138939i | ||||
\(574\) | −2.58807 | − | 9.33523i | −0.108024 | − | 0.389645i | ||||
\(575\) | −5.05739 | − | 22.1579i | −0.210908 | − | 0.924046i | ||||
\(576\) | −0.838835 | − | 11.1935i | −0.0349515 | − | 0.466395i | ||||
\(577\) | −13.7493 | − | 4.24111i | −0.572392 | − | 0.176560i | −0.00497163 | − | 0.999988i | \(-0.501583\pi\) |
−0.567421 | + | 0.823428i | \(0.692059\pi\) | |||||||
\(578\) | 8.24919 | + | 21.0186i | 0.343121 | + | 0.874258i | ||||
\(579\) | −7.48288 | + | 2.30816i | −0.310978 | + | 0.0959240i | ||||
\(580\) | 0.226970 | + | 0.284611i | 0.00942440 | + | 0.0118178i | ||||
\(581\) | −17.9342 | + | 3.55421i | −0.744037 | + | 0.147453i | ||||
\(582\) | −1.30220 | + | 1.63291i | −0.0539780 | + | 0.0676862i | ||||
\(583\) | 8.11448 | − | 20.6754i | 0.336067 | − | 0.856286i | ||||
\(584\) | −0.113166 | + | 1.51009i | −0.00468284 | + | 0.0624882i | ||||
\(585\) | 1.27603 | − | 0.192331i | 0.0527575 | − | 0.00795192i | ||||
\(586\) | −22.7341 | + | 21.0942i | −0.939137 | + | 0.871392i | ||||
\(587\) | 28.9239 | 1.19382 | 0.596908 | − | 0.802309i | \(-0.296396\pi\) | ||||
0.596908 | + | 0.802309i | \(0.296396\pi\) | |||||||
\(588\) | −25.5074 | − | 19.6297i | −1.05191 | − | 0.809516i | ||||
\(589\) | −24.2110 | −0.997596 | ||||||||
\(590\) | 1.94483 | − | 1.80454i | 0.0800674 | − | 0.0742917i | ||||
\(591\) | 3.34307 | − | 0.503886i | 0.137515 | − | 0.0207271i | ||||
\(592\) | 0.681336 | − | 9.09179i | 0.0280027 | − | 0.373670i | ||||
\(593\) | 8.11219 | − | 20.6695i | 0.333128 | − | 0.848795i | −0.661936 | − | 0.749560i | \(-0.730265\pi\) |
0.995064 | − | 0.0992352i | \(-0.0316396\pi\) | |||||||
\(594\) | −24.6659 | + | 30.9300i | −1.01205 | + | 1.26907i | ||||
\(595\) | −1.18382 | + | 0.889613i | −0.0485320 | + | 0.0364706i | ||||
\(596\) | 15.2492 | + | 19.1219i | 0.624632 | + | 0.783264i | ||||
\(597\) | −51.4760 | + | 15.8782i | −2.10677 | + | 0.649853i | ||||
\(598\) | 17.4317 | + | 44.4154i | 0.712837 | + | 1.81628i | ||||
\(599\) | −18.4562 | − | 5.69298i | −0.754099 | − | 0.232609i | −0.106210 | − | 0.994344i | \(-0.533872\pi\) |
−0.647889 | + | 0.761735i | \(0.724348\pi\) | |||||||
\(600\) | 0.407961 | + | 5.44386i | 0.0166549 | + | 0.222244i | ||||
\(601\) | −7.61197 | − | 33.3502i | −0.310499 | − | 1.36038i | −0.853693 | − | 0.520777i | \(-0.825642\pi\) |
0.543194 | − | 0.839607i | \(-0.317215\pi\) | |||||||
\(602\) | −7.01723 | + | 3.78669i | −0.286001 | + | 0.154334i | ||||
\(603\) | 3.00196 | − | 13.1525i | 0.122249 | − | 0.535610i | ||||
\(604\) | −39.4515 | − | 5.94636i | −1.60526 | − | 0.241954i | ||||
\(605\) | −2.70193 | + | 1.84214i | −0.109849 | + | 0.0748938i | ||||
\(606\) | 0.744685 | − | 1.28983i | 0.0302507 | − | 0.0523958i | ||||
\(607\) | −14.9939 | − | 25.9701i | −0.608582 | − | 1.05410i | −0.991474 | − | 0.130302i | \(-0.958405\pi\) |
0.382892 | − | 0.923793i | \(-0.374928\pi\) | |||||||
\(608\) | 21.8458 | + | 10.5204i | 0.885963 | + | 0.426657i | ||||
\(609\) | −0.458668 | − | 3.77700i | −0.0185861 | − | 0.153052i | ||||
\(610\) | −3.63612 | + | 1.75106i | −0.147222 | + | 0.0708984i | ||||
\(611\) | −23.3230 | − | 15.9014i | −0.943549 | − | 0.643301i | ||||
\(612\) | −4.60969 | − | 4.27717i | −0.186336 | − | 0.172894i | ||||
\(613\) | 11.7343 | + | 10.8878i | 0.473943 | + | 0.439755i | 0.880624 | − | 0.473815i | \(-0.157124\pi\) |
−0.406681 | + | 0.913570i | \(0.633314\pi\) | |||||||
\(614\) | −11.8499 | − | 8.07912i | −0.478223 | − | 0.326047i | ||||
\(615\) | −0.737863 | + | 0.355336i | −0.0297535 | + | 0.0143285i | ||||
\(616\) | −5.07376 | + | 5.16225i | −0.204427 | + | 0.207993i | ||||
\(617\) | −17.2284 | − | 8.29675i | −0.693588 | − | 0.334015i | 0.0536602 | − | 0.998559i | \(-0.482911\pi\) |
−0.747248 | + | 0.664545i | \(0.768626\pi\) | |||||||
\(618\) | 16.8274 | + | 29.1460i | 0.676898 | + | 1.17242i | ||||
\(619\) | −19.1806 | + | 33.2218i | −0.770934 | + | 1.33530i | 0.166117 | + | 0.986106i | \(0.446877\pi\) |
−0.937051 | + | 0.349191i | \(0.886456\pi\) | |||||||
\(620\) | −3.44394 | + | 2.34804i | −0.138312 | + | 0.0942996i | ||||
\(621\) | −17.2709 | − | 2.60317i | −0.693058 | − | 0.104462i | ||||
\(622\) | −4.96163 | + | 21.7383i | −0.198943 | + | 0.871628i | ||||
\(623\) | −17.9089 | − | 20.4502i | −0.717503 | − | 0.819320i | ||||
\(624\) | 7.74565 | + | 33.9359i | 0.310074 | + | 1.35852i | ||||
\(625\) | 1.81054 | + | 24.1600i | 0.0724218 | + | 0.966401i | ||||
\(626\) | −23.1119 | − | 7.12907i | −0.923736 | − | 0.284935i | ||||
\(627\) | 11.1743 | + | 28.4716i | 0.446257 | + | 1.13704i | ||||
\(628\) | −3.02069 | + | 0.931758i | −0.120538 | + | 0.0371812i | ||||
\(629\) | −4.11124 | − | 5.15533i | −0.163926 | − | 0.205556i | ||||
\(630\) | −0.643936 | + | 1.24431i | −0.0256550 | + | 0.0495744i | ||||
\(631\) | 22.2301 | − | 27.8757i | 0.884968 | − | 1.10971i | −0.108328 | − | 0.994115i | \(-0.534550\pi\) |
0.993296 | − | 0.115599i | \(-0.0368788\pi\) | |||||||
\(632\) | 0.952523 | − | 2.42699i | 0.0378894 | − | 0.0965405i | ||||
\(633\) | −1.26315 | + | 16.8556i | −0.0502059 | + | 0.669951i | ||||
\(634\) | 46.1333 | − | 6.95348i | 1.83219 | − | 0.276158i | ||||
\(635\) | −0.878261 | + | 0.814907i | −0.0348527 | + | 0.0323386i | ||||
\(636\) | −20.2685 | −0.803699 | ||||||||
\(637\) | 30.8013 | + | 17.0800i | 1.22039 | + | 0.676733i | ||||
\(638\) | −7.36298 | −0.291503 | ||||||||
\(639\) | 2.14964 | − | 1.99458i | 0.0850386 | − | 0.0789043i | ||||
\(640\) | 0.967801 | − | 0.145872i | 0.0382557 | − | 0.00576612i | ||||
\(641\) | −3.04018 | + | 40.5684i | −0.120080 | + | 1.60235i | 0.533703 | + | 0.845672i | \(0.320800\pi\) |
−0.653783 | + | 0.756682i | \(0.726819\pi\) | |||||||
\(642\) | 31.5796 | − | 80.4635i | 1.24635 | − | 3.17564i | ||||
\(643\) | 17.3801 | − | 21.7940i | 0.685404 | − | 0.859470i | −0.310435 | − | 0.950595i | \(-0.600475\pi\) |
0.995839 | + | 0.0911247i | \(0.0290462\pi\) | |||||||
\(644\) | −26.6230 | − | 6.88748i | −1.04909 | − | 0.271405i | ||||
\(645\) | 0.420294 | + | 0.527032i | 0.0165490 | + | 0.0207518i | ||||
\(646\) | 14.5150 | − | 4.47728i | 0.571085 | − | 0.176156i | ||||
\(647\) | 12.8622 | + | 32.7722i | 0.505664 | + | 1.28841i | 0.924789 | + | 0.380481i | \(0.124242\pi\) |
−0.419125 | + | 0.907929i | \(0.637663\pi\) | |||||||
\(648\) | 5.76533 | + | 1.77837i | 0.226483 | + | 0.0698609i | ||||
\(649\) | 2.12875 | + | 28.4062i | 0.0835607 | + | 1.11504i | ||||
\(650\) | −11.4387 | − | 50.1163i | −0.448663 | − | 1.96572i | ||||
\(651\) | 43.5189 | − | 2.00526i | 1.70564 | − | 0.0785923i | ||||
\(652\) | −0.979683 | + | 4.29227i | −0.0383674 | + | 0.168098i | ||||
\(653\) | −20.3537 | − | 3.06782i | −0.796501 | − | 0.120053i | −0.261830 | − | 0.965114i | \(-0.584326\pi\) |
−0.534670 | + | 0.845061i | \(0.679564\pi\) | |||||||
\(654\) | 7.11546 | − | 4.85124i | 0.278237 | − | 0.189699i | ||||
\(655\) | 0.185665 | − | 0.321582i | 0.00725454 | − | 0.0125652i | ||||
\(656\) | −3.01907 | − | 5.22918i | −0.117875 | − | 0.204165i | ||||
\(657\) | −2.83554 | − | 1.36552i | −0.110625 | − | 0.0532742i | ||||
\(658\) | 28.8390 | − | 10.3719i | 1.12426 | − | 0.404339i | ||||
\(659\) | −14.0715 | + | 6.77647i | −0.548147 | + | 0.263974i | −0.687395 | − | 0.726284i | \(-0.741246\pi\) |
0.139248 | + | 0.990258i | \(0.455531\pi\) | |||||||
\(660\) | 4.35075 | + | 2.96629i | 0.169353 | + | 0.115463i | ||||
\(661\) | 14.5172 | + | 13.4700i | 0.564655 | + | 0.523923i | 0.910030 | − | 0.414541i | \(-0.136058\pi\) |
−0.345376 | + | 0.938465i | \(0.612248\pi\) | |||||||
\(662\) | 20.5843 | + | 19.0994i | 0.800031 | + | 0.742320i | ||||
\(663\) | 20.8003 | + | 14.1814i | 0.807818 | + | 0.550761i | ||||
\(664\) | 3.38049 | − | 1.62796i | 0.131188 | − | 0.0631770i | ||||
\(665\) | −0.968936 | − | 1.51286i | −0.0375737 | − | 0.0586662i | ||||
\(666\) | −5.62088 | − | 2.70687i | −0.217805 | − | 0.104889i | ||||
\(667\) | −1.62536 | − | 2.81521i | −0.0629343 | − | 0.109005i | ||||
\(668\) | 26.0594 | − | 45.1362i | 1.00827 | − | 1.74637i | ||||
\(669\) | 25.3598 | − | 17.2900i | 0.980465 | − | 0.668470i | ||||
\(670\) | 5.54767 | + | 0.836177i | 0.214325 | + | 0.0323044i | ||||
\(671\) | 9.64230 | − | 42.2457i | 0.372237 | − | 1.63088i | ||||
\(672\) | −40.1388 | − | 17.1009i | −1.54839 | − | 0.659680i | ||||
\(673\) | −10.2014 | − | 44.6953i | −0.393236 | − | 1.72288i | −0.653134 | − | 0.757242i | \(-0.726546\pi\) |
0.259898 | − | 0.965636i | \(-0.416311\pi\) | |||||||
\(674\) | −1.25423 | − | 16.7365i | −0.0483111 | − | 0.644667i | ||||
\(675\) | 17.9813 | + | 5.54650i | 0.692101 | + | 0.213485i | ||||
\(676\) | 10.1817 | + | 25.9425i | 0.391602 | + | 0.997787i | ||||
\(677\) | 33.3348 | − | 10.2824i | 1.28116 | − | 0.395186i | 0.421863 | − | 0.906660i | \(-0.361376\pi\) |
0.859299 | + | 0.511474i | \(0.170900\pi\) | |||||||
\(678\) | 20.9950 | + | 26.3269i | 0.806308 | + | 1.01108i | ||||
\(679\) | 0.537152 | + | 1.20269i | 0.0206140 | + | 0.0461549i | ||||
\(680\) | 0.189476 | − | 0.237596i | 0.00726609 | − | 0.00911139i | ||||
\(681\) | −11.9886 | + | 30.5464i | −0.459403 | + | 1.17054i | ||||
\(682\) | 6.30030 | − | 84.0716i | 0.241251 | − | 3.21927i | ||||
\(683\) | −49.3621 | + | 7.44014i | −1.88879 | + | 0.284689i | −0.988571 | − | 0.150753i | \(-0.951830\pi\) |
−0.900217 | + | 0.435442i | \(0.856592\pi\) | |||||||
\(684\) | 5.59250 | − | 5.18908i | 0.213835 | − | 0.198409i | ||||
\(685\) | −0.774733 | −0.0296010 | ||||||||
\(686\) | −34.6398 | + | 16.1951i | −1.32255 | + | 0.618333i | ||||
\(687\) | 10.0123 | 0.381994 | ||||||||
\(688\) | −3.64330 | + | 3.38049i | −0.138900 | + | 0.128880i | ||||
\(689\) | 21.9312 | − | 3.30559i | 0.835512 | − | 0.125933i | ||||
\(690\) | −0.327276 | + | 4.36720i | −0.0124592 | + | 0.166256i | ||||
\(691\) | −1.95357 | + | 4.97761i | −0.0743172 | + | 0.189357i | −0.963205 | − | 0.268768i | \(-0.913384\pi\) |
0.888888 | + | 0.458125i | \(0.151479\pi\) | |||||||
\(692\) | 32.5032 | − | 40.7577i | 1.23559 | − | 1.54938i | ||||
\(693\) | −6.13459 | − | 13.7354i | −0.233034 | − | 0.521766i | ||||
\(694\) | 15.4294 | + | 19.3478i | 0.585691 | + | 0.734433i | ||||
\(695\) | 3.30758 | − | 1.02025i | 0.125464 | − | 0.0387004i | ||||
\(696\) | 0.285263 | + | 0.726839i | 0.0108129 | + | 0.0275508i | ||||
\(697\) | −4.17296 | − | 1.28719i | −0.158062 | − | 0.0487557i | ||||
\(698\) | −2.68250 | − | 35.7954i | −0.101534 | − | 1.35488i | ||||
\(699\) | 7.50838 | + | 32.8964i | 0.283993 | + | 1.24426i | ||||
\(700\) | 27.2564 | + | 11.6124i | 1.03020 | + | 0.438908i | ||||
\(701\) | −7.20895 | + | 31.5845i | −0.272278 | + | 1.19293i | 0.635038 | + | 0.772481i | \(0.280984\pi\) |
−0.907316 | + | 0.420448i | \(0.861873\pi\) | |||||||
\(702\) | −39.0631 | − | 5.88782i | −1.47434 | − | 0.222221i | ||||
\(703\) | 6.60972 | − | 4.50643i | 0.249290 | − | 0.169963i | ||||
\(704\) | −25.0604 | + | 43.4059i | −0.944499 | + | 1.63592i | ||||
\(705\) | −1.29546 | − | 2.24381i | −0.0487900 | − | 0.0845068i | ||||
\(706\) | −40.8169 | − | 19.6564i | −1.53616 | − | 0.739777i | ||||
\(707\) | −0.506593 | − | 0.790974i | −0.0190524 | − | 0.0297477i | ||||
\(708\) | 23.4206 | − | 11.2788i | 0.880201 | − | 0.423882i | ||||
\(709\) | −16.5882 | − | 11.3097i | −0.622984 | − | 0.424743i | 0.210262 | − | 0.977645i | \(-0.432568\pi\) |
−0.833247 | + | 0.552902i | \(0.813521\pi\) | |||||||
\(710\) | 0.893966 | + | 0.829480i | 0.0335500 | + | 0.0311298i | ||||
\(711\) | 3.97208 | + | 3.68555i | 0.148964 | + | 0.138219i | ||||
\(712\) | 4.60926 | + | 3.14254i | 0.172739 | + | 0.117772i | ||||
\(713\) | 33.5353 | − | 16.1497i | 1.25591 | − | 0.604813i | ||||
\(714\) | −25.7197 | + | 9.25005i | −0.962535 | + | 0.346175i | ||||
\(715\) | −5.19143 | − | 2.50006i | −0.194148 | − | 0.0934969i | ||||
\(716\) | −18.4851 | − | 32.0171i | −0.690820 | − | 1.19654i | ||||
\(717\) | −4.16416 | + | 7.21254i | −0.155513 | + | 0.269357i | ||||
\(718\) | 6.64610 | − | 4.53123i | 0.248030 | − | 0.169104i | ||||
\(719\) | 24.3253 | + | 3.66645i | 0.907182 | + | 0.136736i | 0.586027 | − | 0.810291i | \(-0.300691\pi\) |
0.321154 | + | 0.947027i | \(0.395929\pi\) | |||||||
\(720\) | −0.194323 | + | 0.851386i | −0.00724200 | + | 0.0317293i | ||||
\(721\) | 21.2025 | − | 0.976967i | 0.789622 | − | 0.0363842i | ||||
\(722\) | −4.62863 | − | 20.2793i | −0.172260 | − | 0.754719i | ||||
\(723\) | 4.37084 | + | 58.3248i | 0.162553 | + | 2.16912i | ||||
\(724\) | 21.7127 | + | 6.69748i | 0.806947 | + | 0.248910i | ||||
\(725\) | 1.27951 | + | 3.26013i | 0.0475197 | + | 0.121078i | ||||
\(726\) | −57.6776 | + | 17.7912i | −2.14062 | + | 0.660293i | ||||
\(727\) | 7.17815 | + | 9.00112i | 0.266223 | + | 0.333833i | 0.896917 | − | 0.442198i | \(-0.145801\pi\) |
−0.630694 | + | 0.776031i | \(0.717230\pi\) | |||||||
\(728\) | −6.99749 | − | 1.81028i | −0.259344 | − | 0.0670935i | ||||
\(729\) | 6.63445 | − | 8.31933i | 0.245720 | − | 0.308123i | ||||
\(730\) | 0.478166 | − | 1.21835i | 0.0176977 | − | 0.0450931i | ||||
\(731\) | −0.268617 | + | 3.58445i | −0.00993516 | + | 0.132576i | ||||
\(732\) | −39.1014 | + | 5.89358i | −1.44523 | + | 0.217833i | ||||
\(733\) | −14.0937 | + | 13.0770i | −0.520562 | + | 0.483011i | −0.896135 | − | 0.443782i | \(-0.853637\pi\) |
0.375573 | + | 0.926793i | \(0.377446\pi\) | |||||||
\(734\) | 26.6948 | 0.985324 | ||||||||
\(735\) | 1.86695 | + | 2.63909i | 0.0688635 | + | 0.0973444i | ||||
\(736\) | −37.2767 | −1.37404 | ||||||||
\(737\) | −44.1576 | + | 40.9723i | −1.62657 | + | 1.50923i | ||||
\(738\) | −4.08558 | + | 0.615802i | −0.150392 | + | 0.0226680i | ||||
\(739\) | 0.649629 | − | 8.66869i | 0.0238970 | − | 0.318883i | −0.972426 | − | 0.233210i | \(-0.925077\pi\) |
0.996323 | − | 0.0856728i | \(-0.0273040\pi\) | |||||||
\(740\) | 0.503169 | − | 1.28205i | 0.0184969 | − | 0.0471292i | ||||
\(741\) | −19.0427 | + | 23.8788i | −0.699550 | + | 0.877208i | ||||
\(742\) | −11.0673 | + | 21.3859i | −0.406294 | + | 0.785101i | ||||
\(743\) | 9.51278 | + | 11.9286i | 0.348990 | + | 0.437619i | 0.925083 | − | 0.379764i | \(-0.123995\pi\) |
−0.576093 | + | 0.817384i | \(0.695424\pi\) | |||||||
\(744\) | −8.54326 | + | 2.63525i | −0.313211 | + | 0.0966128i | ||||
\(745\) | −0.897452 | − | 2.28667i | −0.0328801 | − | 0.0837771i | ||||
\(746\) | 42.8184 | + | 13.2077i | 1.56769 | + | 0.483569i | ||||
\(747\) | 0.582734 | + | 7.77605i | 0.0213211 | + | 0.284511i | ||||
\(748\) | 6.24805 | + | 27.3745i | 0.228451 | + | 1.00091i | ||||
\(749\) | −35.9147 | − | 41.0111i | −1.31230 | − | 1.49851i | ||||
\(750\) | 2.11079 | − | 9.24797i | 0.0770751 | − | 0.337688i | ||||
\(751\) | 6.85033 | + | 1.03252i | 0.249972 | + | 0.0376772i | 0.272833 | − | 0.962061i | \(-0.412039\pi\) |
−0.0228609 | + | 0.999739i | \(0.507277\pi\) | |||||||
\(752\) | 15.7833 | − | 10.7609i | 0.575558 | − | 0.392409i | ||||
\(753\) | 17.0183 | − | 29.4765i | 0.620180 | − | 1.07418i | ||||
\(754\) | −3.67622 | − | 6.36740i | −0.133880 | − | 0.231887i | ||||
\(755\) | 3.61032 | + | 1.73864i | 0.131393 | + | 0.0632756i | ||||
\(756\) | 15.9597 | − | 16.2381i | 0.580448 | − | 0.590572i | ||||
\(757\) | 4.41120 | − | 2.12432i | 0.160328 | − | 0.0772099i | −0.351999 | − | 0.936000i | \(-0.614498\pi\) |
0.512327 | + | 0.858791i | \(0.328784\pi\) | |||||||
\(758\) | 31.0911 | + | 21.1975i | 1.12928 | + | 0.769929i | ||||
\(759\) | −34.4695 | − | 31.9831i | −1.25116 | − | 1.16091i | ||||
\(760\) | 0.270268 | + | 0.250772i | 0.00980365 | + | 0.00909646i | ||||
\(761\) | −20.8755 | − | 14.2327i | −0.756736 | − | 0.515934i | 0.122414 | − | 0.992479i | \(-0.460936\pi\) |
−0.879150 | + | 0.476546i | \(0.841889\pi\) | |||||||
\(762\) | −19.9239 | + | 9.59483i | −0.721766 | + | 0.347584i | ||||
\(763\) | −0.654741 | − | 5.39161i | −0.0237032 | − | 0.195190i | ||||
\(764\) | −3.42315 | − | 1.64850i | −0.123845 | − | 0.0596406i | ||||
\(765\) | 0.315792 | + | 0.546968i | 0.0114175 | + | 0.0197757i | ||||
\(766\) | −19.5223 | + | 33.8137i | −0.705370 | + | 1.22174i | ||||
\(767\) | −23.5024 | + | 16.0237i | −0.848623 | + | 0.578581i | ||||
\(768\) | −22.1082 | − | 3.33227i | −0.797760 | − | 0.120243i | ||||
\(769\) | 0.789269 | − | 3.45801i | 0.0284618 | − | 0.124699i | −0.958701 | − | 0.284415i | \(-0.908201\pi\) |
0.987163 | + | 0.159716i | \(0.0510578\pi\) | |||||||
\(770\) | 5.50549 | − | 2.97091i | 0.198404 | − | 0.107064i | ||||
\(771\) | 5.86031 | + | 25.6757i | 0.211054 | + | 0.924687i | ||||
\(772\) | −0.651760 | − | 8.69713i | −0.0234574 | − | 0.313017i | ||||
\(773\) | 43.1188 | + | 13.3004i | 1.55087 | + | 0.478381i | 0.947682 | − | 0.319215i | \(-0.103419\pi\) |
0.603192 | + | 0.797596i | \(0.293895\pi\) | |||||||
\(774\) | 1.24247 | + | 3.16577i | 0.0446598 | + | 0.113791i | ||||
\(775\) | −38.3195 | + | 11.8200i | −1.37648 | + | 0.424587i | ||||
\(776\) | −0.168539 | − | 0.211341i | −0.00605018 | − | 0.00758669i | ||||
\(777\) | −11.5076 | + | 8.64769i | −0.412834 | + | 0.310234i | ||||
\(778\) | −31.5777 | + | 39.5972i | −1.13212 | + | 1.41963i | ||||
\(779\) | 1.93559 | − | 4.93180i | 0.0693497 | − | 0.176700i | ||||
\(780\) | −0.392946 | + | 5.24349i | −0.0140697 | + | 0.187747i | ||||
\(781\) | −12.9476 | + | 1.95154i | −0.463303 | + | 0.0698317i | ||||
\(782\) | −17.1186 | + | 15.8837i | −0.612160 | + | 0.568001i | ||||
\(783\) | 2.69143 | 0.0961837 | ||||||||
\(784\) | −18.3747 | + | 15.1804i | −0.656238 | + | 0.542157i | ||||
\(785\) | 0.317494 | 0.0113319 | ||||||||
\(786\) | 5.02424 | − | 4.66181i | 0.179209 | − | 0.166281i | ||||
\(787\) | 23.6601 | − | 3.56618i | 0.843391 | − | 0.127121i | 0.286886 | − | 0.957965i | \(-0.407380\pi\) |
0.556505 | + | 0.830844i | \(0.312142\pi\) | |||||||
\(788\) | −0.281388 | + | 3.75486i | −0.0100240 | + | 0.133761i | ||||
\(789\) | 4.61881 | − | 11.7685i | 0.164434 | − | 0.418971i | ||||
\(790\) | −1.40497 | + | 1.76177i | −0.0499865 | + | 0.0626811i | ||||
\(791\) | 20.8315 | − | 4.12839i | 0.740683 | − | 0.146789i | ||||
\(792\) | 1.92481 | + | 2.41364i | 0.0683952 | + | 0.0857649i | ||||
\(793\) | 41.3477 | − | 12.7541i | 1.46830 | − | 0.452911i | ||||
\(794\) | −21.4345 | − | 54.6141i | −0.760680 | − | 1.93818i | ||||
\(795\) | 1.94527 | + | 0.600037i | 0.0689917 | + | 0.0212811i | ||||
\(796\) | −4.48357 | − | 59.8290i | −0.158916 | − | 2.12058i | ||||
\(797\) | 10.0446 | + | 44.0085i | 0.355800 | + | 1.55886i | 0.763539 | + | 0.645762i | \(0.223460\pi\) |
−0.407739 | + | 0.913098i | \(0.633683\pi\) | |||||||
\(798\) | −8.85901 | − | 31.9546i | −0.313606 | − | 1.13118i | ||||
\(799\) | 3.07426 | − | 13.4692i | 0.108760 | − | 0.476507i | ||||
\(800\) | 39.7122 | + | 5.98565i | 1.40404 | + | 0.211625i | ||||
\(801\) | −9.57936 | + | 6.53110i | −0.338470 | + | 0.230765i | ||||
\(802\) | 23.5292 | − | 40.7538i | 0.830845 | − | 1.43907i | ||||
\(803\) | 7.02639 | + | 12.1701i | 0.247956 | + | 0.429472i | ||||
\(804\) | 49.5269 | + | 23.8509i | 1.74668 | + | 0.841155i | ||||
\(805\) | 2.35124 | + | 1.44918i | 0.0828704 | + | 0.0510770i | ||||
\(806\) | 75.8496 | − | 36.5273i | 2.67169 | − | 1.28662i | ||||
\(807\) | −35.5046 | − | 24.2067i | −1.24982 | − | 0.852114i | ||||
\(808\) | 0.141305 | + | 0.131112i | 0.00497110 | + | 0.00461251i | ||||
\(809\) | 13.0517 | + | 12.1102i | 0.458873 | + | 0.425772i | 0.875435 | − | 0.483335i | \(-0.160575\pi\) |
−0.416562 | + | 0.909107i | \(0.636765\pi\) | |||||||
\(810\) | −4.30850 | − | 2.93748i | −0.151385 | − | 0.103213i | ||||
\(811\) | 32.2066 | − | 15.5099i | 1.13093 | − | 0.544625i | 0.227674 | − | 0.973737i | \(-0.426888\pi\) |
0.903251 | + | 0.429112i | \(0.141174\pi\) | |||||||
\(812\) | 4.21483 | + | 0.438031i | 0.147912 | + | 0.0153719i | ||||
\(813\) | 27.2130 | + | 13.1051i | 0.954401 | + | 0.459615i | ||||
\(814\) | 13.9284 | + | 24.1247i | 0.488190 | + | 0.845569i | ||||
\(815\) | 0.221095 | − | 0.382948i | 0.00774462 | − | 0.0134141i | ||||
\(816\) | −14.0761 | + | 9.59694i | −0.492763 | + | 0.335960i | ||||
\(817\) | −4.31215 | − | 0.649953i | −0.150863 | − | 0.0227390i | ||||
\(818\) | −14.1435 | + | 61.9669i | −0.494517 | + | 2.16662i | ||||
\(819\) | 8.81529 | − | 12.1630i | 0.308031 | − | 0.425009i | ||||
\(820\) | −0.202966 | − | 0.889254i | −0.00708789 | − | 0.0310541i | ||||
\(821\) | −2.78133 | − | 37.1143i | −0.0970691 | − | 1.29530i | −0.806800 | − | 0.590824i | \(-0.798803\pi\) |
0.709731 | − | 0.704473i | \(-0.248816\pi\) | |||||||
\(822\) | −13.6644 | − | 4.21491i | −0.476601 | − | 0.147012i | ||||
\(823\) | −12.7743 | − | 32.5484i | −0.445284 | − | 1.13457i | −0.960691 | − | 0.277620i | \(-0.910454\pi\) |
0.515407 | − | 0.856946i | \(-0.327641\pi\) | |||||||
\(824\) | −4.16230 | + | 1.28390i | −0.145000 | + | 0.0447267i | ||||
\(825\) | 31.5860 | + | 39.6075i | 1.09968 | + | 1.37896i | ||||
\(826\) | 0.887907 | − | 30.8704i | 0.0308942 | − | 1.07412i | ||||
\(827\) | −2.57533 | + | 3.22936i | −0.0895529 | + | 0.112296i | −0.824589 | − | 0.565732i | \(-0.808594\pi\) |
0.735036 | + | 0.678028i | \(0.237165\pi\) | |||||||
\(828\) | −4.28499 | + | 10.9180i | −0.148914 | + | 0.379426i | ||||
\(829\) | −3.06105 | + | 40.8469i | −0.106315 | + | 1.41867i | 0.647740 | + | 0.761861i | \(0.275714\pi\) |
−0.754055 | + | 0.656811i | \(0.771905\pi\) | |||||||
\(830\) | −3.20665 | + | 0.483325i | −0.111304 | + | 0.0167764i | ||||
\(831\) | 31.7790 | − | 29.4866i | 1.10240 | − | 1.02288i | ||||
\(832\) | −50.0490 | −1.73514 | ||||||||
\(833\) | −2.27405 | + | 17.0870i | −0.0787912 | + | 0.592031i | ||||
\(834\) | 63.8884 | 2.21227 | ||||||||
\(835\) | −3.83728 | + | 3.56047i | −0.132795 | + | 0.123215i | ||||
\(836\) | −33.6845 | + | 5.07712i | −1.16500 | + | 0.175596i | ||||
\(837\) | −2.30298 | + | 30.7311i | −0.0796026 | + | 1.06222i | ||||
\(838\) | −25.8807 | + | 65.9429i | −0.894034 | + | 2.27796i | ||||
\(839\) | −1.07588 | + | 1.34911i | −0.0371434 | + | 0.0465763i | −0.800056 | − | 0.599925i | \(-0.795197\pi\) |
0.762913 | + | 0.646501i | \(0.223769\pi\) | |||||||
\(840\) | −0.506573 | − | 0.428375i | −0.0174784 | − | 0.0147803i | ||||
\(841\) | −17.7689 | − | 22.2815i | −0.612720 | − | 0.768327i | ||||
\(842\) | 5.37999 | − | 1.65951i | 0.185407 | − | 0.0571904i | ||||
\(843\) | −18.6426 | − | 47.5005i | −0.642085 | − | 1.63600i | ||||
\(844\) | −17.9892 | − | 5.54893i | −0.619213 | − | 0.191002i | ||||
\(845\) | −0.209175 | − | 2.79125i | −0.00719584 | − | 0.0960219i | ||||
\(846\) | −2.90865 | − | 12.7436i | −0.100002 | − | 0.438136i | ||||
\(847\) | −6.75338 | + | 37.4627i | −0.232049 | + | 1.28723i | ||||
\(848\) | −3.33983 | + | 14.6327i | −0.114690 | + | 0.502491i | ||||
\(849\) | 28.8866 | + | 4.35395i | 0.991385 | + | 0.149427i | ||||
\(850\) | 20.7875 | − | 14.1727i | 0.713006 | − | 0.486120i | ||||
\(851\) | −6.14932 | + | 10.6509i | −0.210796 | + | 0.365110i | ||||
\(852\) | 5.97446 | + | 10.3481i | 0.204681 | + | 0.354519i | ||||
\(853\) | −42.8819 | − | 20.6508i | −1.46825 | − | 0.707071i | −0.482593 | − | 0.875845i | \(-0.660305\pi\) |
−0.985655 | + | 0.168773i | \(0.946019\pi\) | |||||||
\(854\) | −15.1322 | + | 44.4751i | −0.517814 | + | 1.52191i | ||||
\(855\) | −0.690360 | + | 0.332460i | −0.0236098 | + | 0.0113699i | ||||
\(856\) | 9.24348 | + | 6.30209i | 0.315935 | + | 0.215401i | ||||
\(857\) | −15.7900 | − | 14.6510i | −0.539377 | − | 0.500469i | 0.362781 | − | 0.931874i | \(-0.381827\pi\) |
−0.902158 | + | 0.431406i | \(0.858018\pi\) | |||||||
\(858\) | −77.9627 | − | 72.3388i | −2.66160 | − | 2.46961i | ||||
\(859\) | 24.6735 | + | 16.8221i | 0.841849 | + | 0.573963i | 0.905663 | − | 0.423999i | \(-0.139374\pi\) |
−0.0638134 | + | 0.997962i | \(0.520326\pi\) | |||||||
\(860\) | −0.676426 | + | 0.325750i | −0.0230659 | + | 0.0111080i | ||||
\(861\) | −3.07072 | + | 9.02516i | −0.104650 | + | 0.307577i | ||||
\(862\) | 31.8928 | + | 15.3588i | 1.08627 | + | 0.523122i | ||||
\(863\) | −25.9789 | − | 44.9968i | −0.884332 | − | 1.53171i | −0.846477 | − | 0.532425i | \(-0.821281\pi\) |
−0.0378545 | − | 0.999283i | \(-0.512052\pi\) | |||||||
\(864\) | 15.4316 | − | 26.7283i | 0.524993 | − | 0.909314i | ||||
\(865\) | −4.32610 | + | 2.94949i | −0.147092 | + | 0.100286i | ||||
\(866\) | 61.1972 | + | 9.22399i | 2.07956 | + | 0.313444i | ||||
\(867\) | 4.94447 | − | 21.6632i | 0.167923 | − | 0.735719i | ||||
\(868\) | −8.60803 | + | 47.7508i | −0.292176 | + | 1.62077i | ||||
\(869\) | −5.38382 | − | 23.5880i | −0.182633 | − | 0.800169i | ||||
\(870\) | −0.0504317 | − | 0.672964i | −0.00170979 | − | 0.0228156i | ||||
\(871\) | −57.4795 | − | 17.7301i | −1.94762 | − | 0.600761i | ||||
\(872\) | 0.407209 | + | 1.03755i | 0.0137898 | + | 0.0351359i | ||||
\(873\) | 0.536833 | − | 0.165591i | 0.0181691 | − | 0.00560441i | ||||
\(874\) | −17.6643 | − | 22.1504i | −0.597504 | − | 0.749247i | ||||
\(875\) | −4.56804 | − | 3.86288i | −0.154428 | − | 0.130589i | ||||
\(876\) | 7.99561 | − | 10.0262i | 0.270147 | − | 0.338753i | ||||
\(877\) | 11.2821 | − | 28.7463i | 0.380970 | − | 0.970695i | −0.603847 | − | 0.797100i | \(-0.706366\pi\) |
0.984817 | − | 0.173595i | \(-0.0555384\pi\) | |||||||
\(878\) | −0.0329473 | + | 0.439651i | −0.00111192 | + | 0.0148375i | ||||
\(879\) | 30.1788 | − | 4.54872i | 1.01790 | − | 0.153424i | ||||
\(880\) | 2.85841 | − | 2.65222i | 0.0963571 | − | 0.0894063i | ||||
\(881\) | −57.6244 | −1.94141 | −0.970707 | − | 0.240266i | \(-0.922765\pi\) | ||||
−0.970707 | + | 0.240266i | \(0.922765\pi\) | |||||||
\(882\) | 5.07593 | + | 15.4991i | 0.170916 | + | 0.521882i | ||||
\(883\) | −45.7898 | −1.54095 | −0.770475 | − | 0.637471i | \(-0.779981\pi\) | ||||
−0.770475 | + | 0.637471i | \(0.779981\pi\) | |||||||
\(884\) | −20.5535 | + | 19.0709i | −0.691290 | + | 0.641423i | ||||
\(885\) | −2.58170 | + | 0.389128i | −0.0867828 | + | 0.0130804i | ||||
\(886\) | 1.56353 | − | 20.8639i | 0.0525279 | − | 0.700936i | ||||
\(887\) | 0.950713 | − | 2.42238i | 0.0319218 | − | 0.0813355i | −0.914024 | − | 0.405660i | \(-0.867042\pi\) |
0.945946 | + | 0.324324i | \(0.105137\pi\) | |||||||
\(888\) | 1.84185 | − | 2.30961i | 0.0618084 | − | 0.0775053i | ||||
\(889\) | −0.400968 | + | 13.9407i | −0.0134480 | + | 0.467556i | ||||
\(890\) | −3.00618 | − | 3.76963i | −0.100767 | − | 0.126358i | ||||
\(891\) | 53.5015 | − | 16.5030i | 1.79237 | − | 0.552872i | ||||
\(892\) | 12.4889 | + | 31.8213i | 0.418160 | + | 1.06545i | ||||
\(893\) | 16.0165 | + | 4.94044i | 0.535972 | + | 0.165326i | ||||
\(894\) | −3.38831 | − | 45.2139i | −0.113322 | − | 1.51218i | ||||
\(895\) | 0.826260 | + | 3.62008i | 0.0276188 | + | 0.121006i | ||||
\(896\) | 6.68590 | − | 9.22495i | 0.223360 | − | 0.308184i | ||||
\(897\) | 10.4484 | − | 45.7774i | 0.348862 | − | 1.52846i | ||||
\(898\) | −14.5451 | − | 2.19232i | −0.485377 | − | 0.0731587i | ||||
\(899\) | −4.73900 | + | 3.23100i | −0.158055 | + | 0.107760i | ||||
\(900\) | 6.31808 | − | 10.9432i | 0.210603 | − | 0.364775i | ||||
\(901\) | 5.42752 | + | 9.40073i | 0.180817 | + | 0.313184i | ||||
\(902\) | 16.6218 | + | 8.00464i | 0.553445 | + | 0.266525i | ||||
\(903\) | 7.80487 | + | 0.811129i | 0.259730 | + | 0.0269927i | ||||
\(904\) | −3.92661 | + | 1.89095i | −0.130597 | + | 0.0628922i | ||||
\(905\) | −1.88560 | − | 1.28558i | −0.0626796 | − | 0.0427342i | ||||
\(906\) | 54.2183 | + | 50.3072i | 1.80128 | + | 1.67135i | ||||
\(907\) | 7.68999 | + | 7.13526i | 0.255342 | + | 0.236923i | 0.797448 | − | 0.603387i | \(-0.206183\pi\) |
−0.542107 | + | 0.840310i | \(0.682373\pi\) | |||||||
\(908\) | −30.1968 | − | 20.5879i | −1.00212 | − | 0.683232i | ||||
\(909\) | −0.360943 | + | 0.173821i | −0.0119717 | + | 0.00576529i | ||||
\(910\) | 5.31800 | + | 3.27774i | 0.176290 | + | 0.108656i | ||||
\(911\) | 45.0044 | + | 21.6730i | 1.49106 | + | 0.718057i | 0.989156 | − | 0.146866i | \(-0.0469187\pi\) |
0.501904 | + | 0.864923i | \(0.332633\pi\) | |||||||
\(912\) | −10.3343 | − | 17.8996i | −0.342203 | − | 0.592714i | ||||
\(913\) | 17.4093 | − | 30.1538i | 0.576164 | − | 0.997946i | ||||
\(914\) | −14.7784 | + | 10.0758i | −0.488828 | + | 0.333277i | ||||
\(915\) | 3.92723 | + | 0.591934i | 0.129830 | + | 0.0195687i | ||||
\(916\) | −2.48138 | + | 10.8716i | −0.0819870 | + | 0.359209i | ||||
\(917\) | −1.15480 | − | 4.16539i | −0.0381349 | − | 0.137553i | ||||
\(918\) | −4.30236 | − | 18.8499i | −0.141999 | − | 0.622138i | ||||
\(919\) | 2.71205 | + | 36.1898i | 0.0894623 | + | 1.19379i | 0.843562 | + | 0.537032i | \(0.180454\pi\) |
−0.754100 | + | 0.656760i | \(0.771927\pi\) | |||||||
\(920\) | −0.541631 | − | 0.167071i | −0.0178571 | − | 0.00550817i | ||||
\(921\) | 5.15637 | + | 13.1382i | 0.169908 | + | 0.432919i | ||||
\(922\) | 19.6136 | − | 6.05001i | 0.645941 | − | 0.199246i | ||||
\(923\) | −8.15222 | − | 10.2226i | −0.268334 | − | 0.336480i | ||||
\(924\) | 60.1269 | − | 11.9159i | 1.97803 | − | 0.392006i | ||||
\(925\) | 8.26135 | − | 10.3594i | 0.271631 | − | 0.340615i | ||||
\(926\) | −16.0857 | + | 40.9856i | −0.528608 | + | 1.34687i | ||||
\(927\) | 0.676504 | − | 9.02732i | 0.0222193 | − | 0.296496i | ||||
\(928\) | 5.68001 | − | 0.856123i | 0.186455 | − | 0.0281036i | ||||
\(929\) | −18.3924 | + | 17.0656i | −0.603434 | + | 0.559904i | −0.921605 | − | 0.388129i | \(-0.873122\pi\) |
0.318172 | + | 0.948033i | \(0.396931\pi\) | |||||||
\(930\) | 7.72716 | 0.253384 | ||||||||
\(931\) | −20.4659 | − | 4.30034i | −0.670744 | − | 0.140938i | ||||
\(932\) | −37.5805 | −1.23099 | ||||||||
\(933\) | 16.0851 | − | 14.9248i | 0.526604 | − | 0.488617i | ||||
\(934\) | 0.237795 | − | 0.0358418i | 0.00778089 | − | 0.00117278i | ||||
\(935\) | 0.210748 | − | 2.81224i | 0.00689220 | − | 0.0919700i | ||||
\(936\) | −1.12625 | + | 2.86964i | −0.0368127 | + | 0.0937972i | ||||
\(937\) | −9.74381 | + | 12.2183i | −0.318316 | + | 0.399156i | −0.915087 | − | 0.403255i | \(-0.867879\pi\) |
0.596771 | + | 0.802412i | \(0.296450\pi\) | |||||||
\(938\) | 52.2091 | − | 39.2338i | 1.70469 | − | 1.28103i | ||||
\(939\) | 14.8401 | + | 18.6089i | 0.484288 | + | 0.607278i | ||||
\(940\) | 2.75744 | − | 0.850558i | 0.0899378 | − | 0.0277422i | ||||
\(941\) | 9.00338 | + | 22.9402i | 0.293502 | + | 0.747830i | 0.999226 | + | 0.0393435i | \(0.0125267\pi\) |
−0.705724 | + | 0.708487i | \(0.749378\pi\) | |||||||
\(942\) | 5.59983 | + | 1.72732i | 0.182452 | + | 0.0562791i | ||||
\(943\) | 0.608682 | + | 8.12230i | 0.0198214 | + | 0.264498i | ||||
\(944\) | −4.28342 | − | 18.7669i | −0.139414 | − | 0.610811i | ||||
\(945\) | −2.01245 | + | 1.08597i | −0.0654649 | + | 0.0353266i | ||||
\(946\) | 3.37906 | − | 14.8047i | 0.109863 | − | 0.481341i | ||||
\(947\) | 18.5320 | + | 2.79324i | 0.602208 | + | 0.0907682i | 0.443068 | − | 0.896488i | \(-0.353890\pi\) |
0.159140 | + | 0.987256i | \(0.449128\pi\) | |||||||
\(948\) | −18.2425 | + | 12.4375i | −0.592489 | + | 0.403952i | ||||
\(949\) | −7.01634 | + | 12.1526i | −0.227760 | + | 0.394492i | ||||
\(950\) | 15.2616 | + | 26.4339i | 0.495153 | + | 0.857631i | ||||
\(951\) | −41.3655 | − | 19.9206i | −1.34137 | − | 0.645970i | ||||
\(952\) | −0.426454 | − | 3.51174i | −0.0138215 | − | 0.113816i | ||||
\(953\) | −26.3793 | + | 12.7036i | −0.854510 | + | 0.411510i | −0.809250 | − | 0.587465i | \(-0.800126\pi\) |
−0.0452602 | + | 0.998975i | \(0.514412\pi\) | |||||||
\(954\) | 8.48570 | + | 5.78545i | 0.274735 | + | 0.187311i | ||||
\(955\) | 0.279734 | + | 0.259555i | 0.00905197 | + | 0.00839900i | ||||
\(956\) | −6.79954 | − | 6.30905i | −0.219913 | − | 0.204049i | ||||
\(957\) | 5.98681 | + | 4.08174i | 0.193526 | + | 0.131944i | ||||
\(958\) | 15.4308 | − | 7.43108i | 0.498546 | − | 0.240087i | ||||
\(959\) | −6.32156 | + | 6.43183i | −0.204134 | + | 0.207694i | ||||
\(960\) | −4.13887 | − | 1.99317i | −0.133581 | − | 0.0643294i | ||||
\(961\) | −17.3370 | − | 30.0286i | −0.559258 | − | 0.968664i | ||||
\(962\) | −13.9084 | + | 24.0901i | −0.448426 | + | 0.776697i | ||||
\(963\) | −19.2106 | + | 13.0976i | −0.619053 | + | 0.422063i | ||||
\(964\) | −64.4138 | − | 9.70881i | −2.07463 | − | 0.312700i | ||||
\(965\) | −0.194920 | + | 0.854002i | −0.00627471 | + | 0.0274913i | ||||
\(966\) | 33.5860 | + | 38.3519i | 1.08061 | + | 1.23395i | ||||
\(967\) | 7.26505 | + | 31.8303i | 0.233628 | + | 1.02359i | 0.946603 | + | 0.322403i | \(0.104490\pi\) |
−0.712974 | + | 0.701190i | \(0.752652\pi\) | |||||||
\(968\) | −0.583795 | − | 7.79020i | −0.0187639 | − | 0.250386i | ||||
\(969\) | −14.2841 | − | 4.40606i | −0.458872 | − | 0.141543i | ||||
\(970\) | 0.0853549 | + | 0.217481i | 0.00274058 | + | 0.00698289i | ||||
\(971\) | 14.8612 | − | 4.58409i | 0.476920 | − | 0.147110i | −0.0469700 | − | 0.998896i | \(-0.514957\pi\) |
0.523890 | + | 0.851786i | \(0.324480\pi\) | |||||||
\(972\) | −15.7596 | − | 19.7620i | −0.505491 | − | 0.633865i | ||||
\(973\) | 18.5186 | − | 35.7845i | 0.593680 | − | 1.14720i | ||||
\(974\) | −29.1486 | + | 36.5512i | −0.933982 | + | 1.17118i | ||||
\(975\) | −18.4817 | + | 47.0905i | −0.591887 | + | 1.50810i | ||||
\(976\) | −2.18825 | + | 29.2001i | −0.0700441 | + | 0.934674i | ||||
\(977\) | 32.5572 | − | 4.90720i | 1.04160 | − | 0.156995i | 0.394103 | − | 0.919066i | \(-0.371055\pi\) |
0.647493 | + | 0.762071i | \(0.275817\pi\) | |||||||
\(978\) | 5.98300 | − | 5.55141i | 0.191315 | − | 0.177515i | ||||
\(979\) | 51.7687 | 1.65454 | ||||||||
\(980\) | −3.32828 | + | 1.37313i | −0.106318 | + | 0.0438630i | ||||
\(981\) | −2.31646 | −0.0739588 | ||||||||
\(982\) | 34.8624 | − | 32.3476i | 1.11250 | − | 1.03225i | ||||
\(983\) | −7.42196 | + | 1.11868i | −0.236724 | + | 0.0356804i | −0.266333 | − | 0.963881i | \(-0.585812\pi\) |
0.0296088 | + | 0.999562i | \(0.490574\pi\) | |||||||
\(984\) | 0.146204 | − | 1.95095i | 0.00466080 | − | 0.0621941i | ||||
\(985\) | 0.138167 | − | 0.352043i | 0.00440235 | − | 0.0112170i | ||||
\(986\) | 2.24363 | − | 2.81343i | 0.0714518 | − | 0.0895977i | ||||
\(987\) | −29.1987 | − | 7.55382i | −0.929404 | − | 0.240441i | ||||
\(988\) | −21.2087 | − | 26.5949i | −0.674740 | − | 0.846097i | ||||
\(989\) | 6.40643 | − | 1.97612i | 0.203713 | − | 0.0628370i | ||||
\(990\) | −0.974804 | − | 2.48376i | −0.0309813 | − | 0.0789391i | ||||
\(991\) | 36.3170 | + | 11.2023i | 1.15365 | + | 0.355853i | 0.811819 | − | 0.583909i | \(-0.198477\pi\) |
0.341829 | + | 0.939762i | \(0.388954\pi\) | |||||||
\(992\) | 4.91512 | + | 65.5878i | 0.156055 | + | 2.08241i | ||||
\(993\) | −6.14905 | − | 26.9408i | −0.195134 | − | 0.854939i | ||||
\(994\) | 14.1808 | − | 0.653422i | 0.449788 | − | 0.0207253i | ||||
\(995\) | −1.34089 | + | 5.87482i | −0.0425091 | + | 0.186244i | ||||
\(996\) | −31.4191 | − | 4.73566i | −0.995552 | − | 0.150055i | ||||
\(997\) | −20.0677 | + | 13.6819i | −0.635550 | + | 0.433311i | −0.837765 | − | 0.546030i | \(-0.816138\pi\) |
0.202215 | + | 0.979341i | \(0.435186\pi\) | |||||||
\(998\) | −8.67495 | + | 15.0255i | −0.274601 | + | 0.475623i | ||||
\(999\) | −5.09131 | − | 8.81841i | −0.161082 | − | 0.279002i |
(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 | 49.2.g.a.11.4 | yes | 48 | |
3.2 | odd | 2 | 441.2.bb.d.109.1 | 48 | |||
4.3 | odd | 2 | 784.2.bg.c.305.4 | 48 | |||
7.2 | even | 3 | 343.2.g.i.128.1 | 48 | |||
7.3 | odd | 6 | 343.2.e.c.246.7 | 48 | |||
7.4 | even | 3 | 343.2.e.d.246.7 | 48 | |||
7.5 | odd | 6 | 343.2.g.h.128.1 | 48 | |||
7.6 | odd | 2 | 343.2.g.g.312.4 | 48 | |||
49.3 | odd | 42 | 2401.2.a.i.1.4 | 24 | |||
49.9 | even | 21 | inner | 49.2.g.a.9.4 | ✓ | 48 | |
49.15 | even | 7 | 343.2.g.i.67.1 | 48 | |||
49.24 | odd | 42 | 343.2.e.c.99.7 | 48 | |||
49.25 | even | 21 | 343.2.e.d.99.7 | 48 | |||
49.34 | odd | 14 | 343.2.g.h.67.1 | 48 | |||
49.40 | odd | 42 | 343.2.g.g.177.4 | 48 | |||
49.46 | even | 21 | 2401.2.a.h.1.4 | 24 | |||
147.107 | odd | 42 | 441.2.bb.d.352.1 | 48 | |||
196.107 | odd | 42 | 784.2.bg.c.401.4 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.2.g.a.9.4 | ✓ | 48 | 49.9 | even | 21 | inner | |
49.2.g.a.11.4 | yes | 48 | 1.1 | even | 1 | trivial | |
343.2.e.c.99.7 | 48 | 49.24 | odd | 42 | |||
343.2.e.c.246.7 | 48 | 7.3 | odd | 6 | |||
343.2.e.d.99.7 | 48 | 49.25 | even | 21 | |||
343.2.e.d.246.7 | 48 | 7.4 | even | 3 | |||
343.2.g.g.177.4 | 48 | 49.40 | odd | 42 | |||
343.2.g.g.312.4 | 48 | 7.6 | odd | 2 | |||
343.2.g.h.67.1 | 48 | 49.34 | odd | 14 | |||
343.2.g.h.128.1 | 48 | 7.5 | odd | 6 | |||
343.2.g.i.67.1 | 48 | 49.15 | even | 7 | |||
343.2.g.i.128.1 | 48 | 7.2 | even | 3 | |||
441.2.bb.d.109.1 | 48 | 3.2 | odd | 2 | |||
441.2.bb.d.352.1 | 48 | 147.107 | odd | 42 | |||
784.2.bg.c.305.4 | 48 | 4.3 | odd | 2 | |||
784.2.bg.c.401.4 | 48 | 196.107 | odd | 42 | |||
2401.2.a.h.1.4 | 24 | 49.46 | even | 21 | |||
2401.2.a.i.1.4 | 24 | 49.3 | odd | 42 |