Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 235.7 | ||
Character | \(\chi\) | \(=\) | 637.235 |
Dual form | 637.2.bl.a.534.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{17}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.64912 | − | 0.248565i | −1.16610 | − | 0.175762i | −0.462675 | − | 0.886528i | \(-0.653110\pi\) |
−0.703429 | + | 0.710766i | \(0.748349\pi\) | |||||||
\(3\) | 0.245042 | − | 0.167067i | 0.141475 | − | 0.0964562i | −0.490514 | − | 0.871433i | \(-0.663191\pi\) |
0.631989 | + | 0.774977i | \(0.282239\pi\) | |||||||
\(4\) | 0.746668 | + | 0.230317i | 0.373334 | + | 0.115158i | ||||
\(5\) | 0.200654 | + | 2.67754i | 0.0897350 | + | 1.19743i | 0.842335 | + | 0.538954i | \(0.181180\pi\) |
−0.752600 | + | 0.658477i | \(0.771201\pi\) | |||||||
\(6\) | −0.445631 | + | 0.214605i | −0.181928 | + | 0.0876120i | ||||
\(7\) | 2.62546 | + | 0.327044i | 0.992331 | + | 0.123611i | ||||
\(8\) | 1.83108 | + | 0.881802i | 0.647385 | + | 0.311764i | ||||
\(9\) | −1.06389 | + | 2.71074i | −0.354630 | + | 0.903581i | ||||
\(10\) | 0.334640 | − | 4.46546i | 0.105822 | − | 1.41210i | ||||
\(11\) | 0.884677 | + | 2.25412i | 0.266740 | + | 0.679643i | 1.00000 | 0.000305690i | \(-9.73042e-5\pi\) | |
−0.733260 | + | 0.679949i | \(0.762002\pi\) | |||||||
\(12\) | 0.221444 | − | 0.0683063i | 0.0639252 | − | 0.0197183i | ||||
\(13\) | −0.623490 | + | 0.781831i | −0.172925 | + | 0.216841i | ||||
\(14\) | −4.24841 | − | 1.19193i | −1.13543 | − | 0.318557i | ||||
\(15\) | 0.496497 | + | 0.622587i | 0.128195 | + | 0.160751i | ||||
\(16\) | −4.09170 | − | 2.78968i | −1.02293 | − | 0.697419i | ||||
\(17\) | −1.10025 | − | 1.02088i | −0.266849 | − | 0.247599i | 0.535387 | − | 0.844607i | \(-0.320166\pi\) |
−0.802236 | + | 0.597007i | \(0.796356\pi\) | |||||||
\(18\) | 2.42828 | − | 4.20590i | 0.572350 | − | 0.991340i | ||||
\(19\) | −1.62635 | − | 2.81692i | −0.373110 | − | 0.646246i | 0.616932 | − | 0.787017i | \(-0.288375\pi\) |
−0.990042 | + | 0.140770i | \(0.955042\pi\) | |||||||
\(20\) | −0.466859 | + | 2.04544i | −0.104393 | + | 0.457375i | ||||
\(21\) | 0.697987 | − | 0.358488i | 0.152313 | − | 0.0782286i | ||||
\(22\) | −0.898644 | − | 3.93722i | −0.191592 | − | 0.839417i | ||||
\(23\) | −3.39278 | + | 3.14804i | −0.707443 | + | 0.656411i | −0.949470 | − | 0.313858i | \(-0.898378\pi\) |
0.242027 | + | 0.970270i | \(0.422188\pi\) | |||||||
\(24\) | 0.596013 | − | 0.0898344i | 0.121661 | − | 0.0183374i | ||||
\(25\) | −2.18479 | + | 0.329304i | −0.436958 | + | 0.0658608i | ||||
\(26\) | 1.22255 | − | 1.13436i | 0.239761 | − | 0.222466i | ||||
\(27\) | 0.390161 | + | 1.70941i | 0.0750866 | + | 0.328976i | ||||
\(28\) | 1.88502 | + | 0.848880i | 0.356236 | + | 0.160423i | ||||
\(29\) | −0.0150067 | + | 0.0657485i | −0.00278667 | + | 0.0122092i | −0.976302 | − | 0.216412i | \(-0.930565\pi\) |
0.973515 | + | 0.228621i | \(0.0734217\pi\) | |||||||
\(30\) | −0.664030 | − | 1.15013i | −0.121235 | − | 0.209985i | ||||
\(31\) | 1.87054 | − | 3.23987i | 0.335959 | − | 0.581898i | −0.647710 | − | 0.761887i | \(-0.724273\pi\) |
0.983669 | + | 0.179990i | \(0.0576064\pi\) | |||||||
\(32\) | 3.07467 | + | 2.85287i | 0.543529 | + | 0.504322i | ||||
\(33\) | 0.593373 | + | 0.404555i | 0.103293 | + | 0.0704239i | ||||
\(34\) | 1.56068 | + | 1.95703i | 0.267655 | + | 0.335629i | ||||
\(35\) | −0.348864 | + | 7.09539i | −0.0589687 | + | 1.19934i | ||||
\(36\) | −1.41870 | + | 1.77899i | −0.236450 | + | 0.296499i | ||||
\(37\) | −10.3592 | + | 3.19538i | −1.70304 | + | 0.525317i | −0.985276 | − | 0.170973i | \(-0.945309\pi\) |
−0.717760 | + | 0.696290i | \(0.754833\pi\) | |||||||
\(38\) | 1.98186 | + | 5.04970i | 0.321500 | + | 0.819169i | ||||
\(39\) | −0.0221631 | + | 0.295746i | −0.00354894 | + | 0.0473573i | ||||
\(40\) | −1.99364 | + | 5.07972i | −0.315223 | + | 0.803175i | ||||
\(41\) | −1.25712 | − | 0.605399i | −0.196330 | − | 0.0945474i | 0.333136 | − | 0.942879i | \(-0.391893\pi\) |
−0.529466 | + | 0.848331i | \(0.677608\pi\) | |||||||
\(42\) | −1.24017 | + | 0.417695i | −0.191363 | + | 0.0644518i | ||||
\(43\) | −3.12343 | + | 1.50417i | −0.476319 | + | 0.229383i | −0.656610 | − | 0.754230i | \(-0.728010\pi\) |
0.180291 | + | 0.983613i | \(0.442296\pi\) | |||||||
\(44\) | 0.141399 | + | 1.88684i | 0.0213167 | + | 0.284451i | ||||
\(45\) | −7.47159 | − | 2.30468i | −1.11380 | − | 0.343562i | ||||
\(46\) | 6.37759 | − | 4.34817i | 0.940325 | − | 0.641103i | ||||
\(47\) | 10.0620 | + | 1.51660i | 1.46769 | + | 0.221219i | 0.833741 | − | 0.552155i | \(-0.186194\pi\) |
0.633950 | + | 0.773374i | \(0.281432\pi\) | |||||||
\(48\) | −1.46870 | −0.211989 | ||||||||
\(49\) | 6.78608 | + | 1.71728i | 0.969441 | + | 0.245326i | ||||
\(50\) | 3.68483 | 0.521114 | ||||||||
\(51\) | −0.440162 | − | 0.0663437i | −0.0616350 | − | 0.00928998i | ||||
\(52\) | −0.645608 | + | 0.440168i | −0.0895298 | + | 0.0610404i | ||||
\(53\) | 1.67777 | + | 0.517523i | 0.230459 | + | 0.0710872i | 0.407834 | − | 0.913056i | \(-0.366284\pi\) |
−0.177375 | + | 0.984143i | \(0.556760\pi\) | |||||||
\(54\) | −0.218524 | − | 2.91600i | −0.0297373 | − | 0.396817i | ||||
\(55\) | −5.85798 | + | 2.82105i | −0.789890 | + | 0.380391i | ||||
\(56\) | 4.51904 | + | 2.91398i | 0.603883 | + | 0.389397i | ||||
\(57\) | −0.869139 | − | 0.418556i | −0.115120 | − | 0.0554390i | ||||
\(58\) | 0.0410906 | − | 0.104697i | 0.00539546 | − | 0.0137474i | ||||
\(59\) | −0.534977 | + | 7.13877i | −0.0696481 | + | 0.929389i | 0.847488 | + | 0.530815i | \(0.178114\pi\) |
−0.917136 | + | 0.398574i | \(0.869505\pi\) | |||||||
\(60\) | 0.227326 | + | 0.579217i | 0.0293477 | + | 0.0747766i | ||||
\(61\) | −3.00034 | + | 0.925482i | −0.384154 | + | 0.118496i | −0.480816 | − | 0.876821i | \(-0.659660\pi\) |
0.0966621 | + | 0.995317i | \(0.469183\pi\) | |||||||
\(62\) | −3.89006 | + | 4.87798i | −0.494038 | + | 0.619504i | ||||
\(63\) | −3.67973 | + | 6.76901i | −0.463602 | + | 0.852816i | ||||
\(64\) | 1.81393 | + | 2.27459i | 0.226741 | + | 0.284324i | ||||
\(65\) | −2.21849 | − | 1.51254i | −0.275170 | − | 0.187607i | ||||
\(66\) | −0.877985 | − | 0.814651i | −0.108072 | − | 0.100277i | ||||
\(67\) | 0.497968 | − | 0.862506i | 0.0608365 | − | 0.105372i | −0.834003 | − | 0.551760i | \(-0.813957\pi\) |
0.894840 | + | 0.446388i | \(0.147290\pi\) | |||||||
\(68\) | −0.586393 | − | 1.01566i | −0.0711106 | − | 0.123167i | ||||
\(69\) | −0.305441 | + | 1.33822i | −0.0367708 | + | 0.161103i | ||||
\(70\) | 2.33898 | − | 11.6144i | 0.279562 | − | 1.38819i | ||||
\(71\) | 0.0794855 | + | 0.348249i | 0.00943320 | + | 0.0413295i | 0.979425 | − | 0.201806i | \(-0.0646811\pi\) |
−0.969992 | + | 0.243136i | \(0.921824\pi\) | |||||||
\(72\) | −4.33841 | + | 4.02545i | −0.511286 | + | 0.474404i | ||||
\(73\) | 3.93063 | − | 0.592447i | 0.460045 | − | 0.0693406i | 0.0850688 | − | 0.996375i | \(-0.472889\pi\) |
0.374976 | + | 0.927034i | \(0.377651\pi\) | |||||||
\(74\) | 17.8778 | − | 2.69464i | 2.07825 | − | 0.313245i | ||||
\(75\) | −0.480350 | + | 0.445700i | −0.0554660 | + | 0.0514650i | ||||
\(76\) | −0.565560 | − | 2.47788i | −0.0648742 | − | 0.284232i | ||||
\(77\) | 1.58549 | + | 6.20743i | 0.180683 | + | 0.707403i | ||||
\(78\) | 0.110062 | − | 0.482213i | 0.0124621 | − | 0.0545998i | ||||
\(79\) | 3.62186 | + | 6.27324i | 0.407491 | + | 0.705795i | 0.994608 | − | 0.103707i | \(-0.0330706\pi\) |
−0.587117 | + | 0.809502i | \(0.699737\pi\) | |||||||
\(80\) | 6.64845 | − | 11.5155i | 0.743319 | − | 1.28747i | ||||
\(81\) | −6.02284 | − | 5.58838i | −0.669205 | − | 0.620931i | ||||
\(82\) | 1.92267 | + | 1.31085i | 0.212323 | + | 0.144759i | ||||
\(83\) | −2.69260 | − | 3.37641i | −0.295551 | − | 0.370610i | 0.611779 | − | 0.791029i | \(-0.290454\pi\) |
−0.907330 | + | 0.420420i | \(0.861883\pi\) | |||||||
\(84\) | 0.603730 | − | 0.106914i | 0.0658724 | − | 0.0116652i | ||||
\(85\) | 2.51267 | − | 3.15079i | 0.272538 | − | 0.341751i | ||||
\(86\) | 5.52480 | − | 1.70417i | 0.595754 | − | 0.183766i | ||||
\(87\) | 0.00730714 | + | 0.0186183i | 0.000783408 | + | 0.00199609i | ||||
\(88\) | −0.367773 | + | 4.90759i | −0.0392047 | + | 0.523151i | ||||
\(89\) | −5.05565 | + | 12.8816i | −0.535897 | + | 1.36544i | 0.364836 | + | 0.931072i | \(0.381125\pi\) |
−0.900733 | + | 0.434372i | \(0.856970\pi\) | |||||||
\(90\) | 11.7487 | + | 5.65787i | 1.23842 | + | 0.596392i | ||||
\(91\) | −1.89264 | + | 1.84876i | −0.198403 | + | 0.193803i | ||||
\(92\) | −3.25832 | + | 1.56913i | −0.339704 | + | 0.163593i | ||||
\(93\) | −0.0829140 | − | 1.10641i | −0.00859778 | − | 0.114729i | ||||
\(94\) | −16.2165 | − | 5.00211i | −1.67260 | − | 0.515929i | ||||
\(95\) | 7.21608 | − | 4.91984i | 0.740354 | − | 0.504765i | ||||
\(96\) | 1.23004 | + | 0.185399i | 0.125541 | + | 0.0189223i | ||||
\(97\) | −9.44111 | −0.958600 | −0.479300 | − | 0.877651i | \(-0.659109\pi\) | ||||
−0.479300 | + | 0.877651i | \(0.659109\pi\) | |||||||
\(98\) | −10.7642 | − | 4.51879i | −1.08735 | − | 0.456466i | ||||
\(99\) | −7.05154 | −0.708707 | ||||||||
\(100\) | −1.70716 | − | 0.257312i | −0.170716 | − | 0.0257312i | ||||
\(101\) | −0.836329 | + | 0.570199i | −0.0832178 | + | 0.0567370i | −0.604214 | − | 0.796822i | \(-0.706513\pi\) |
0.520996 | + | 0.853559i | \(0.325560\pi\) | |||||||
\(102\) | 0.709389 | + | 0.218818i | 0.0702400 | + | 0.0216662i | ||||
\(103\) | 1.32369 | + | 17.6635i | 0.130427 | + | 1.74043i | 0.552182 | + | 0.833723i | \(0.313795\pi\) |
−0.421755 | + | 0.906710i | \(0.638586\pi\) | |||||||
\(104\) | −1.83108 | + | 0.881802i | −0.179552 | + | 0.0864678i | ||||
\(105\) | 1.09992 | + | 1.79695i | 0.107341 | + | 0.175365i | ||||
\(106\) | −2.63820 | − | 1.27049i | −0.256245 | − | 0.123401i | ||||
\(107\) | 3.34063 | − | 8.51179i | 0.322951 | − | 0.822866i | −0.673539 | − | 0.739152i | \(-0.735227\pi\) |
0.996490 | − | 0.0837139i | \(-0.0266782\pi\) | |||||||
\(108\) | −0.102384 | + | 1.36622i | −0.00985191 | + | 0.131465i | ||||
\(109\) | −5.98048 | − | 15.2380i | −0.572826 | − | 1.45954i | −0.864309 | − | 0.502962i | \(-0.832244\pi\) |
0.291482 | − | 0.956576i | \(-0.405852\pi\) | |||||||
\(110\) | 10.3617 | − | 3.19617i | 0.987952 | − | 0.304743i | ||||
\(111\) | −2.00459 | + | 2.51368i | −0.190267 | + | 0.238588i | ||||
\(112\) | −9.83026 | − | 8.66235i | −0.928872 | − | 0.818516i | ||||
\(113\) | 6.69432 | + | 8.39442i | 0.629749 | + | 0.789680i | 0.989679 | − | 0.143299i | \(-0.0457710\pi\) |
−0.359930 | + | 0.932979i | \(0.617200\pi\) | |||||||
\(114\) | 1.32928 | + | 0.906286i | 0.124498 | + | 0.0848815i | ||||
\(115\) | −9.10976 | − | 8.45263i | −0.849490 | − | 0.788211i | ||||
\(116\) | −0.0263480 | + | 0.0456360i | −0.00244635 | + | 0.00423720i | ||||
\(117\) | −1.45602 | − | 2.52190i | −0.134609 | − | 0.233150i | ||||
\(118\) | 2.65669 | − | 11.6397i | 0.244568 | − | 1.07152i | ||||
\(119\) | −2.55478 | − | 3.04011i | −0.234196 | − | 0.278686i | ||||
\(120\) | 0.360127 | + | 1.57782i | 0.0328750 | + | 0.144035i | ||||
\(121\) | 3.76516 | − | 3.49356i | 0.342288 | − | 0.317597i | ||||
\(122\) | 5.17796 | − | 0.780452i | 0.468791 | − | 0.0706588i | ||||
\(123\) | −0.409191 | + | 0.0616756i | −0.0368955 | + | 0.00556110i | ||||
\(124\) | 2.14287 | − | 1.98829i | 0.192435 | − | 0.178554i | ||||
\(125\) | 1.66728 | + | 7.30485i | 0.149126 | + | 0.653366i | ||||
\(126\) | 7.75086 | − | 10.2483i | 0.690501 | − | 0.912988i | ||||
\(127\) | 1.52181 | − | 6.66747i | 0.135039 | − | 0.591642i | −0.861445 | − | 0.507851i | \(-0.830440\pi\) |
0.996483 | − | 0.0837913i | \(-0.0267029\pi\) | |||||||
\(128\) | −6.62034 | − | 11.4668i | −0.585161 | − | 1.01353i | ||||
\(129\) | −0.514077 | + | 0.890407i | −0.0452619 | + | 0.0783960i | ||||
\(130\) | 3.28259 | + | 3.04580i | 0.287902 | + | 0.267134i | ||||
\(131\) | 16.1063 | + | 10.9811i | 1.40722 | + | 0.959424i | 0.998915 | + | 0.0465774i | \(0.0148314\pi\) |
0.408302 | + | 0.912847i | \(0.366121\pi\) | |||||||
\(132\) | 0.349877 | + | 0.438731i | 0.0304529 | + | 0.0381867i | ||||
\(133\) | −3.34866 | − | 7.92760i | −0.290366 | − | 0.687410i | ||||
\(134\) | −1.03560 | + | 1.29860i | −0.0894620 | + | 0.112182i | ||||
\(135\) | −4.49872 | + | 1.38767i | −0.387188 | + | 0.119432i | ||||
\(136\) | −1.11443 | − | 2.83951i | −0.0955612 | − | 0.243486i | ||||
\(137\) | 0.937455 | − | 12.5095i | 0.0800922 | − | 1.06876i | −0.801889 | − | 0.597472i | \(-0.796172\pi\) |
0.881982 | − | 0.471284i | \(-0.156209\pi\) | |||||||
\(138\) | 0.836345 | − | 2.13097i | 0.0711944 | − | 0.181400i | ||||
\(139\) | 3.43490 | + | 1.65416i | 0.291344 | + | 0.140304i | 0.573847 | − | 0.818963i | \(-0.305450\pi\) |
−0.282503 | + | 0.959266i | \(0.591165\pi\) | |||||||
\(140\) | −1.89467 | + | 5.21755i | −0.160129 | + | 0.440963i | ||||
\(141\) | 2.71899 | − | 1.30940i | 0.228980 | − | 0.110271i | ||||
\(142\) | −0.0445188 | − | 0.594062i | −0.00373593 | − | 0.0498526i | ||||
\(143\) | −2.31393 | − | 0.713753i | −0.193501 | − | 0.0596870i | ||||
\(144\) | 11.9152 | − | 8.12366i | 0.992935 | − | 0.676972i | ||||
\(145\) | −0.179055 | − | 0.0269882i | −0.0148697 | − | 0.00224125i | ||||
\(146\) | −6.62934 | −0.548648 | ||||||||
\(147\) | 1.94978 | − | 0.712925i | 0.160815 | − | 0.0588010i | ||||
\(148\) | −8.47080 | −0.696296 | ||||||||
\(149\) | 7.71403 | + | 1.16270i | 0.631958 | + | 0.0952523i | 0.457207 | − | 0.889360i | \(-0.348850\pi\) |
0.174751 | + | 0.984613i | \(0.444088\pi\) | |||||||
\(150\) | 0.902940 | − | 0.615614i | 0.0737248 | − | 0.0502647i | ||||
\(151\) | −2.65856 | − | 0.820057i | −0.216351 | − | 0.0667353i | 0.184685 | − | 0.982798i | \(-0.440873\pi\) |
−0.401036 | + | 0.916062i | \(0.631350\pi\) | |||||||
\(152\) | −0.494012 | − | 6.59213i | −0.0400697 | − | 0.534692i | ||||
\(153\) | 3.93788 | − | 1.89638i | 0.318359 | − | 0.153313i | ||||
\(154\) | −1.07171 | − | 10.6309i | −0.0863610 | − | 0.856662i | ||||
\(155\) | 9.05020 | + | 4.35835i | 0.726929 | + | 0.350071i | ||||
\(156\) | −0.0846638 | + | 0.215720i | −0.00677853 | + | 0.0172714i | ||||
\(157\) | 0.610226 | − | 8.14290i | 0.0487013 | − | 0.649874i | −0.918428 | − | 0.395588i | \(-0.870541\pi\) |
0.967129 | − | 0.254285i | \(-0.0818403\pi\) | |||||||
\(158\) | −4.41357 | − | 11.2456i | −0.351125 | − | 0.894651i | ||||
\(159\) | 0.497585 | − | 0.153485i | 0.0394611 | − | 0.0121721i | ||||
\(160\) | −7.02173 | + | 8.80497i | −0.555117 | + | 0.696094i | ||||
\(161\) | −9.93715 | + | 7.15546i | −0.783157 | + | 0.563930i | ||||
\(162\) | 8.54332 | + | 10.7130i | 0.671226 | + | 0.841691i | ||||
\(163\) | −12.7686 | − | 8.70552i | −1.00012 | − | 0.681869i | −0.0516245 | − | 0.998667i | \(-0.516440\pi\) |
−0.948493 | + | 0.316798i | \(0.897392\pi\) | |||||||
\(164\) | −0.799221 | − | 0.741568i | −0.0624086 | − | 0.0579068i | ||||
\(165\) | −0.964148 | + | 1.66995i | −0.0750588 | + | 0.130006i | ||||
\(166\) | 3.60116 | + | 6.23740i | 0.279504 | + | 0.484116i | ||||
\(167\) | 5.28081 | − | 23.1367i | 0.408641 | − | 1.79038i | −0.181844 | − | 0.983327i | \(-0.558207\pi\) |
0.590486 | − | 0.807048i | \(-0.298936\pi\) | |||||||
\(168\) | 1.59419 | − | 0.0409345i | 0.122994 | − | 0.00315817i | ||||
\(169\) | −0.222521 | − | 0.974928i | −0.0171170 | − | 0.0749945i | ||||
\(170\) | −4.92688 | + | 4.57147i | −0.377874 | + | 0.350616i | ||||
\(171\) | 9.36621 | − | 1.41173i | 0.716252 | − | 0.107958i | ||||
\(172\) | −2.67860 | + | 0.403734i | −0.204241 | + | 0.0307844i | ||||
\(173\) | 5.13888 | − | 4.76819i | 0.390702 | − | 0.362518i | −0.460225 | − | 0.887802i | \(-0.652231\pi\) |
0.850927 | + | 0.525284i | \(0.176041\pi\) | |||||||
\(174\) | −0.00742250 | − | 0.0325201i | −0.000562698 | − | 0.00246534i | ||||
\(175\) | −5.84377 | + | 0.150053i | −0.441748 | + | 0.0113429i | ||||
\(176\) | 2.66843 | − | 11.6912i | 0.201141 | − | 0.881254i | ||||
\(177\) | 1.06156 | + | 1.83868i | 0.0797919 | + | 0.138204i | ||||
\(178\) | 11.5393 | − | 19.9866i | 0.864905 | − | 1.49806i | ||||
\(179\) | 11.6093 | + | 10.7718i | 0.867719 | + | 0.805126i | 0.982110 | − | 0.188310i | \(-0.0603011\pi\) |
−0.114391 | + | 0.993436i | \(0.536492\pi\) | |||||||
\(180\) | −5.04799 | − | 3.44166i | −0.376255 | − | 0.256526i | ||||
\(181\) | 1.67505 | + | 2.10044i | 0.124505 | + | 0.156125i | 0.840177 | − | 0.542312i | \(-0.182451\pi\) |
−0.715672 | + | 0.698437i | \(0.753879\pi\) | |||||||
\(182\) | 3.58073 | − | 2.57838i | 0.265421 | − | 0.191122i | ||||
\(183\) | −0.580593 | + | 0.728040i | −0.0429187 | + | 0.0538183i | ||||
\(184\) | −8.98840 | + | 2.77255i | −0.662634 | + | 0.204395i | ||||
\(185\) | −10.6343 | − | 27.0959i | −0.781853 | − | 1.99213i | ||||
\(186\) | −0.138280 | + | 1.84521i | −0.0101392 | + | 0.135298i | ||||
\(187\) | 1.32782 | − | 3.38323i | 0.0970999 | − | 0.247407i | ||||
\(188\) | 7.16366 | + | 3.44984i | 0.522464 | + | 0.251605i | ||||
\(189\) | 0.465301 | + | 4.61558i | 0.0338457 | + | 0.335734i | ||||
\(190\) | −13.1231 | + | 6.31974i | −0.952048 | + | 0.458482i | ||||
\(191\) | 1.24148 | + | 16.5664i | 0.0898302 | + | 1.19870i | 0.841906 | + | 0.539624i | \(0.181434\pi\) |
−0.752076 | + | 0.659077i | \(0.770947\pi\) | |||||||
\(192\) | 0.824499 | + | 0.254324i | 0.0595031 | + | 0.0183543i | ||||
\(193\) | 18.7513 | − | 12.7844i | 1.34975 | − | 0.920244i | 0.349886 | − | 0.936792i | \(-0.386220\pi\) |
0.999863 | + | 0.0165487i | \(0.00526784\pi\) | |||||||
\(194\) | 15.5695 | + | 2.34673i | 1.11783 | + | 0.168485i | ||||
\(195\) | −0.796319 | −0.0570256 | ||||||||
\(196\) | 4.67143 | + | 2.84519i | 0.333674 | + | 0.203228i | ||||
\(197\) | −0.688621 | −0.0490622 | −0.0245311 | − | 0.999699i | \(-0.507809\pi\) | ||||
−0.0245311 | + | 0.999699i | \(0.507809\pi\) | |||||||
\(198\) | 11.6288 | + | 1.75277i | 0.826426 | + | 0.124564i | ||||
\(199\) | −17.6884 | + | 12.0597i | −1.25389 | + | 0.854891i | −0.993853 | − | 0.110707i | \(-0.964689\pi\) |
−0.260041 | + | 0.965598i | \(0.583736\pi\) | |||||||
\(200\) | −4.29091 | − | 1.32357i | −0.303413 | − | 0.0935905i | ||||
\(201\) | −0.0220731 | − | 0.294544i | −0.00155691 | − | 0.0207756i | ||||
\(202\) | 1.52094 | − | 0.732445i | 0.107013 | − | 0.0515347i | ||||
\(203\) | −0.0609021 | + | 0.167712i | −0.00427449 | + | 0.0117711i | ||||
\(204\) | −0.313375 | − | 0.150913i | −0.0219406 | − | 0.0105660i | ||||
\(205\) | 1.36873 | − | 3.48747i | 0.0955964 | − | 0.243576i | ||||
\(206\) | 2.20759 | − | 29.4582i | 0.153810 | − | 2.05245i | ||||
\(207\) | −4.92399 | − | 12.5461i | −0.342241 | − | 0.872015i | ||||
\(208\) | 4.73219 | − | 1.45969i | 0.328119 | − | 0.101211i | ||||
\(209\) | 4.91089 | − | 6.15806i | 0.339693 | − | 0.425962i | ||||
\(210\) | −1.36724 | − | 3.23680i | −0.0943485 | − | 0.223360i | ||||
\(211\) | −11.3946 | − | 14.2884i | −0.784436 | − | 0.983652i | −0.999974 | − | 0.00715663i | \(-0.997722\pi\) |
0.215538 | − | 0.976495i | \(-0.430849\pi\) | |||||||
\(212\) | 1.13354 | + | 0.772835i | 0.0778519 | + | 0.0530785i | ||||
\(213\) | 0.0776583 | + | 0.0720563i | 0.00532106 | + | 0.00493722i | ||||
\(214\) | −7.62484 | + | 13.2066i | −0.521223 | + | 0.902785i | ||||
\(215\) | −4.65419 | − | 8.06129i | −0.317413 | − | 0.549775i | ||||
\(216\) | −0.792943 | + | 3.47411i | −0.0539529 | + | 0.236383i | ||||
\(217\) | 5.97061 | − | 7.89440i | 0.405311 | − | 0.535907i | ||||
\(218\) | 6.07490 | + | 26.6159i | 0.411444 | + | 1.80265i | ||||
\(219\) | 0.864192 | − | 0.801853i | 0.0583967 | − | 0.0541842i | ||||
\(220\) | −5.02370 | + | 0.757201i | −0.338698 | + | 0.0510505i | ||||
\(221\) | 1.48415 | − | 0.223699i | 0.0998345 | − | 0.0150476i | ||||
\(222\) | 3.93062 | − | 3.64709i | 0.263806 | − | 0.244776i | ||||
\(223\) | 3.04068 | + | 13.3221i | 0.203619 | + | 0.892113i | 0.968711 | + | 0.248192i | \(0.0798363\pi\) |
−0.765092 | + | 0.643921i | \(0.777307\pi\) | |||||||
\(224\) | 7.13940 | + | 8.49566i | 0.477021 | + | 0.567640i | ||||
\(225\) | 1.43171 | − | 6.27275i | 0.0954476 | − | 0.418183i | ||||
\(226\) | −8.95319 | − | 15.5074i | −0.595557 | − | 1.03154i | ||||
\(227\) | 1.30025 | − | 2.25210i | 0.0863005 | − | 0.149477i | −0.819644 | − | 0.572873i | \(-0.805829\pi\) |
0.905945 | + | 0.423396i | \(0.139162\pi\) | |||||||
\(228\) | −0.552558 | − | 0.512699i | −0.0365941 | − | 0.0339543i | ||||
\(229\) | 13.5214 | + | 9.21876i | 0.893522 | + | 0.609193i | 0.920628 | − | 0.390440i | \(-0.127677\pi\) |
−0.0271068 | + | 0.999633i | \(0.508629\pi\) | |||||||
\(230\) | 12.9221 | + | 16.2038i | 0.852056 | + | 1.06844i | ||||
\(231\) | 1.42557 | + | 1.25620i | 0.0937956 | + | 0.0826520i | ||||
\(232\) | −0.0854556 | + | 0.107158i | −0.00561044 | + | 0.00703526i | ||||
\(233\) | 1.90695 | − | 0.588215i | 0.124928 | − | 0.0385353i | −0.231661 | − | 0.972797i | \(-0.574416\pi\) |
0.356589 | + | 0.934261i | \(0.383940\pi\) | |||||||
\(234\) | 1.77430 | + | 4.52084i | 0.115989 | + | 0.295536i | ||||
\(235\) | −2.04178 | + | 27.2457i | −0.133191 | + | 1.77731i | ||||
\(236\) | −2.04363 | + | 5.20708i | −0.133029 | + | 0.338952i | ||||
\(237\) | 1.93556 | + | 0.932116i | 0.125728 | + | 0.0605475i | ||||
\(238\) | 3.45747 | + | 5.64853i | 0.224115 | + | 0.366140i | ||||
\(239\) | −19.1059 | + | 9.20092i | −1.23586 | + | 0.595158i | −0.933685 | − | 0.358095i | \(-0.883426\pi\) |
−0.302173 | + | 0.953253i | \(0.597712\pi\) | |||||||
\(240\) | −0.294701 | − | 3.93251i | −0.0190229 | − | 0.253842i | ||||
\(241\) | 25.3992 | + | 7.83461i | 1.63610 | + | 0.504672i | 0.970392 | − | 0.241536i | \(-0.0776513\pi\) |
0.665713 | + | 0.746208i | \(0.268127\pi\) | |||||||
\(242\) | −7.07759 | + | 4.82542i | −0.454964 | + | 0.310190i | ||||
\(243\) | −7.61084 | − | 1.14715i | −0.488236 | − | 0.0735897i | ||||
\(244\) | −2.45341 | −0.157064 | ||||||||
\(245\) | −3.23643 | + | 18.5146i | −0.206768 | + | 1.18285i | ||||
\(246\) | 0.690135 | 0.0440014 | ||||||||
\(247\) | 3.21637 | + | 0.484790i | 0.204653 | + | 0.0308464i | ||||
\(248\) | 6.28203 | − | 4.28302i | 0.398909 | − | 0.271972i | ||||
\(249\) | −1.22389 | − | 0.377520i | −0.0775608 | − | 0.0239243i | ||||
\(250\) | −0.933823 | − | 12.4610i | −0.0590602 | − | 0.788103i | ||||
\(251\) | −10.1650 | + | 4.89521i | −0.641609 | + | 0.308983i | −0.726252 | − | 0.687429i | \(-0.758739\pi\) |
0.0846426 | + | 0.996411i | \(0.473025\pi\) | |||||||
\(252\) | −4.30655 | + | 4.20670i | −0.271287 | + | 0.264997i | ||||
\(253\) | −10.0976 | − | 4.86273i | −0.634829 | − | 0.305718i | ||||
\(254\) | −4.16694 | + | 10.6172i | −0.261457 | + | 0.666182i | ||||
\(255\) | 0.0893177 | − | 1.19186i | 0.00559329 | − | 0.0746373i | ||||
\(256\) | 5.94172 | + | 15.1392i | 0.371357 | + | 0.946203i | ||||
\(257\) | 8.15516 | − | 2.51553i | 0.508705 | − | 0.156915i | −0.0297692 | − | 0.999557i | \(-0.509477\pi\) |
0.538474 | + | 0.842642i | \(0.319001\pi\) | |||||||
\(258\) | 1.06910 | − | 1.34061i | 0.0665591 | − | 0.0834625i | ||||
\(259\) | −28.2426 | + | 5.00144i | −1.75491 | + | 0.310774i | ||||
\(260\) | −1.30811 | − | 1.64032i | −0.0811256 | − | 0.101728i | ||||
\(261\) | −0.162262 | − | 0.110628i | −0.0100438 | − | 0.00684772i | ||||
\(262\) | −23.8318 | − | 22.1126i | −1.47233 | − | 1.36612i | ||||
\(263\) | −6.77545 | + | 11.7354i | −0.417792 | + | 0.723637i | −0.995717 | − | 0.0924528i | \(-0.970529\pi\) |
0.577925 | + | 0.816090i | \(0.303863\pi\) | |||||||
\(264\) | 0.729776 | + | 1.26401i | 0.0449146 | + | 0.0777944i | ||||
\(265\) | −1.04904 | + | 4.59613i | −0.0644418 | + | 0.282338i | ||||
\(266\) | 3.55182 | + | 13.9059i | 0.217776 | + | 0.852627i | ||||
\(267\) | 0.913239 | + | 4.00116i | 0.0558893 | + | 0.244867i | ||||
\(268\) | 0.570466 | − | 0.529315i | 0.0348468 | − | 0.0323331i | ||||
\(269\) | 3.36161 | − | 0.506682i | 0.204961 | − | 0.0308929i | −0.0457591 | − | 0.998953i | \(-0.514571\pi\) |
0.250720 | + | 0.968060i | \(0.419333\pi\) | |||||||
\(270\) | 7.76385 | − | 1.17021i | 0.472493 | − | 0.0712168i | ||||
\(271\) | −8.74927 | + | 8.11813i | −0.531480 | + | 0.493141i | −0.899647 | − | 0.436618i | \(-0.856176\pi\) |
0.368167 | + | 0.929760i | \(0.379986\pi\) | |||||||
\(272\) | 1.65396 | + | 7.24646i | 0.100286 | + | 0.439381i | ||||
\(273\) | −0.154910 | + | 0.769222i | −0.00937561 | + | 0.0465555i | ||||
\(274\) | −4.65539 | + | 20.3966i | −0.281243 | + | 1.23220i | ||||
\(275\) | −2.67512 | − | 4.63345i | −0.161316 | − | 0.279408i | ||||
\(276\) | −0.536278 | + | 0.928861i | −0.0322802 | + | 0.0559109i | ||||
\(277\) | 14.4610 | + | 13.4178i | 0.868876 | + | 0.806199i | 0.982294 | − | 0.187348i | \(-0.0599893\pi\) |
−0.113418 | + | 0.993547i | \(0.536180\pi\) | |||||||
\(278\) | −5.25339 | − | 3.58170i | −0.315078 | − | 0.214816i | ||||
\(279\) | 6.79241 | + | 8.51741i | 0.406651 | + | 0.509924i | ||||
\(280\) | −6.89553 | + | 12.6846i | −0.412087 | + | 0.758050i | ||||
\(281\) | −9.48376 | + | 11.8923i | −0.565754 | + | 0.709433i | −0.979610 | − | 0.200909i | \(-0.935610\pi\) |
0.413856 | + | 0.910342i | \(0.364182\pi\) | |||||||
\(282\) | −4.80941 | + | 1.48351i | −0.286396 | + | 0.0883415i | ||||
\(283\) | 3.62090 | + | 9.22589i | 0.215240 | + | 0.548422i | 0.997190 | − | 0.0749192i | \(-0.0238699\pi\) |
−0.781950 | + | 0.623342i | \(0.785775\pi\) | |||||||
\(284\) | −0.0208582 | + | 0.278333i | −0.00123771 | + | 0.0165160i | ||||
\(285\) | 0.946302 | − | 2.41114i | 0.0560541 | − | 0.142823i | ||||
\(286\) | 3.63853 | + | 1.75223i | 0.215151 | + | 0.103611i | ||||
\(287\) | −3.10254 | − | 2.00059i | −0.183137 | − | 0.118091i | ||||
\(288\) | −11.0045 | + | 5.29950i | −0.648447 | + | 0.312276i | ||||
\(289\) | −1.10206 | − | 14.7060i | −0.0648273 | − | 0.865061i | ||||
\(290\) | 0.288575 | + | 0.0890137i | 0.0169457 | + | 0.00522706i | ||||
\(291\) | −2.31347 | + | 1.57730i | −0.135618 | + | 0.0924629i | ||||
\(292\) | 3.07132 | + | 0.462927i | 0.179736 | + | 0.0270908i | ||||
\(293\) | 3.52034 | 0.205661 | 0.102830 | − | 0.994699i | \(-0.467210\pi\) | ||||
0.102830 | + | 0.994699i | \(0.467210\pi\) | |||||||
\(294\) | −3.39263 | + | 0.691052i | −0.197862 | + | 0.0403029i | ||||
\(295\) | −19.2217 | −1.11913 | ||||||||
\(296\) | −21.7862 | − | 3.28374i | −1.26629 | − | 0.190863i | ||||
\(297\) | −3.50804 | + | 2.39174i | −0.203557 | + | 0.138783i | ||||
\(298\) | −12.4324 | − | 3.83487i | −0.720187 | − | 0.222148i | ||||
\(299\) | −0.345873 | − | 4.61535i | −0.0200023 | − | 0.266913i | ||||
\(300\) | −0.461314 | + | 0.222157i | −0.0266340 | + | 0.0128262i | ||||
\(301\) | −8.69238 | + | 2.92763i | −0.501020 | + | 0.168746i | ||||
\(302\) | 4.18045 | + | 2.01320i | 0.240558 | + | 0.115846i | ||||
\(303\) | −0.109674 | + | 0.279446i | −0.00630063 | + | 0.0160538i | ||||
\(304\) | −1.20376 | + | 16.0630i | −0.0690401 | + | 0.921276i | ||||
\(305\) | −3.08004 | − | 7.84782i | −0.176363 | − | 0.449365i | ||||
\(306\) | −6.96541 | + | 2.14855i | −0.398186 | + | 0.122824i | ||||
\(307\) | 18.5001 | − | 23.1984i | 1.05585 | − | 1.32400i | 0.111975 | − | 0.993711i | \(-0.464282\pi\) |
0.943880 | − | 0.330289i | \(-0.107146\pi\) | |||||||
\(308\) | −0.245841 | + | 5.00005i | −0.0140081 | + | 0.284905i | ||||
\(309\) | 3.27535 | + | 4.10715i | 0.186328 | + | 0.233648i | ||||
\(310\) | −13.8415 | − | 9.43700i | −0.786146 | − | 0.535986i | ||||
\(311\) | 18.1335 | + | 16.8254i | 1.02826 | + | 0.954082i | 0.998965 | − | 0.0454887i | \(-0.0144845\pi\) |
0.0292913 | + | 0.999571i | \(0.490675\pi\) | |||||||
\(312\) | −0.301372 | + | 0.521992i | −0.0170618 | + | 0.0295520i | ||||
\(313\) | 0.495227 | + | 0.857759i | 0.0279919 | + | 0.0484834i | 0.879682 | − | 0.475562i | \(-0.157755\pi\) |
−0.851690 | + | 0.524046i | \(0.824422\pi\) | |||||||
\(314\) | −3.03037 | + | 13.2769i | −0.171014 | + | 0.749261i | ||||
\(315\) | −18.8626 | − | 8.49439i | −1.06279 | − | 0.478604i | ||||
\(316\) | 1.25949 | + | 5.51820i | 0.0708520 | + | 0.310423i | ||||
\(317\) | 8.45602 | − | 7.84604i | 0.474937 | − | 0.440677i | −0.406026 | − | 0.913861i | \(-0.633086\pi\) |
0.880964 | + | 0.473184i | \(0.156895\pi\) | |||||||
\(318\) | −0.858729 | + | 0.129433i | −0.0481551 | + | 0.00725822i | ||||
\(319\) | −0.161481 | + | 0.0243394i | −0.00904121 | + | 0.00136274i | ||||
\(320\) | −5.72634 | + | 5.31327i | −0.320112 | + | 0.297021i | ||||
\(321\) | −0.603443 | − | 2.64386i | −0.0336809 | − | 0.147566i | ||||
\(322\) | 18.1662 | − | 9.33019i | 1.01236 | − | 0.519951i | ||||
\(323\) | −1.08635 | + | 4.75961i | −0.0604461 | + | 0.264832i | ||||
\(324\) | −3.20997 | − | 5.55983i | −0.178331 | − | 0.308879i | ||||
\(325\) | 1.10473 | − | 1.91345i | 0.0612796 | − | 0.106139i | ||||
\(326\) | 18.8931 | + | 17.5303i | 1.04639 | + | 0.970912i | ||||
\(327\) | −4.01124 | − | 2.73482i | −0.221822 | − | 0.151236i | ||||
\(328\) | −1.76805 | − | 2.21707i | −0.0976244 | − | 0.122417i | ||||
\(329\) | 25.9214 | + | 7.27249i | 1.42909 | + | 0.400945i | ||||
\(330\) | 2.00509 | − | 2.51430i | 0.110376 | − | 0.138408i | ||||
\(331\) | 10.2924 | − | 3.17479i | 0.565723 | − | 0.174502i | 0.00131590 | − | 0.999999i | \(-0.499581\pi\) |
0.564407 | + | 0.825497i | \(0.309105\pi\) | |||||||
\(332\) | −1.23283 | − | 3.14121i | −0.0676605 | − | 0.172396i | ||||
\(333\) | 2.35914 | − | 31.4806i | 0.129280 | − | 1.72512i | ||||
\(334\) | −14.4597 | + | 36.8427i | −0.791198 | + | 2.01594i | ||||
\(335\) | 2.40931 | + | 1.16026i | 0.131635 | + | 0.0633919i | ||||
\(336\) | −3.85602 | − | 0.480331i | −0.210363 | − | 0.0262042i | ||||
\(337\) | 13.8102 | − | 6.65066i | 0.752292 | − | 0.362285i | −0.0181161 | − | 0.999836i | \(-0.505767\pi\) |
0.770408 | + | 0.637551i | \(0.220053\pi\) | |||||||
\(338\) | 0.124631 | + | 1.66308i | 0.00677903 | + | 0.0904599i | ||||
\(339\) | 3.04282 | + | 0.938587i | 0.165263 | + | 0.0509770i | ||||
\(340\) | 2.60181 | − | 1.77388i | 0.141103 | − | 0.0962024i | ||||
\(341\) | 8.95788 | + | 1.35018i | 0.485096 | + | 0.0731165i | ||||
\(342\) | −15.7969 | −0.854199 | ||||||||
\(343\) | 17.2550 | + | 6.72800i | 0.931681 | + | 0.363278i | ||||
\(344\) | −7.04563 | −0.379875 | ||||||||
\(345\) | −3.64443 | − | 0.549310i | −0.196210 | − | 0.0295739i | ||||
\(346\) | −9.65984 | + | 6.58597i | −0.519316 | + | 0.354064i | ||||
\(347\) | −26.0185 | − | 8.02563i | −1.39674 | − | 0.430839i | −0.497188 | − | 0.867643i | \(-0.665634\pi\) |
−0.899556 | + | 0.436804i | \(0.856110\pi\) | |||||||
\(348\) | 0.00116791 | + | 0.0155846i | 6.26064e−5 | + | 0.000835424i | ||||
\(349\) | −1.97896 | + | 0.953019i | −0.105932 | + | 0.0510139i | −0.486099 | − | 0.873904i | \(-0.661581\pi\) |
0.380168 | + | 0.924918i | \(0.375866\pi\) | |||||||
\(350\) | 9.67438 | + | 1.20510i | 0.517118 | + | 0.0644154i | ||||
\(351\) | −1.57973 | − | 0.760758i | −0.0843198 | − | 0.0406063i | ||||
\(352\) | −3.71063 | + | 9.45454i | −0.197777 | + | 0.503929i | ||||
\(353\) | −1.93627 | + | 25.8377i | −0.103057 | + | 1.37520i | 0.670704 | + | 0.741725i | \(0.265992\pi\) |
−0.773761 | + | 0.633477i | \(0.781627\pi\) | |||||||
\(354\) | −1.29361 | − | 3.29607i | −0.0687547 | − | 0.175184i | ||||
\(355\) | −0.916500 | + | 0.282703i | −0.0486428 | + | 0.0150043i | ||||
\(356\) | −6.74173 | + | 8.45386i | −0.357311 | + | 0.448054i | ||||
\(357\) | −1.13393 | − | 0.318135i | −0.0600140 | − | 0.0168375i | ||||
\(358\) | −16.4676 | − | 20.6497i | −0.870340 | − | 1.09137i | ||||
\(359\) | 6.98076 | + | 4.75940i | 0.368430 | + | 0.251191i | 0.733356 | − | 0.679845i | \(-0.237953\pi\) |
−0.364925 | + | 0.931037i | \(0.618905\pi\) | |||||||
\(360\) | −11.6488 | − | 10.8085i | −0.613947 | − | 0.569659i | ||||
\(361\) | 4.20997 | − | 7.29188i | 0.221577 | − | 0.383783i | ||||
\(362\) | −2.24026 | − | 3.88024i | −0.117745 | − | 0.203941i | ||||
\(363\) | 0.338966 | − | 1.48511i | 0.0177911 | − | 0.0779478i | ||||
\(364\) | −1.83897 | + | 0.944502i | −0.0963884 | + | 0.0495054i | ||||
\(365\) | 2.37499 | + | 10.4055i | 0.124313 | + | 0.544650i | ||||
\(366\) | 1.13843 | − | 1.05631i | 0.0595068 | − | 0.0552143i | ||||
\(367\) | 25.4404 | − | 3.83452i | 1.32798 | − | 0.200160i | 0.553546 | − | 0.832819i | \(-0.313274\pi\) |
0.774431 | + | 0.632659i | \(0.218036\pi\) | |||||||
\(368\) | 22.6643 | − | 3.41609i | 1.18146 | − | 0.178076i | ||||
\(369\) | 2.97852 | − | 2.76366i | 0.155056 | − | 0.143871i | ||||
\(370\) | 10.8022 | + | 47.3277i | 0.561582 | + | 2.46045i | ||||
\(371\) | 4.23566 | + | 1.90744i | 0.219904 | + | 0.0990293i | ||||
\(372\) | 0.192915 | − | 0.845218i | 0.0100022 | − | 0.0438225i | ||||
\(373\) | 10.0785 | + | 17.4565i | 0.521846 | + | 0.903864i | 0.999677 | + | 0.0254119i | \(0.00808972\pi\) |
−0.477831 | + | 0.878452i | \(0.658577\pi\) | |||||||
\(374\) | −3.03069 | + | 5.24931i | −0.156713 | + | 0.271435i | ||||
\(375\) | 1.62896 | + | 1.51145i | 0.0841189 | + | 0.0780509i | ||||
\(376\) | 17.0870 | + | 11.6497i | 0.881193 | + | 0.600787i | ||||
\(377\) | −0.0420478 | − | 0.0527262i | −0.00216557 | − | 0.00271554i | ||||
\(378\) | 0.379934 | − | 7.72731i | 0.0195417 | − | 0.397450i | ||||
\(379\) | 7.51747 | − | 9.42661i | 0.386146 | − | 0.484212i | −0.550328 | − | 0.834949i | \(-0.685497\pi\) |
0.936474 | + | 0.350736i | \(0.114069\pi\) | |||||||
\(380\) | 6.52113 | − | 2.01150i | 0.334527 | − | 0.103188i | ||||
\(381\) | −0.741008 | − | 1.88806i | −0.0379630 | − | 0.0967281i | ||||
\(382\) | 2.07047 | − | 27.6285i | 0.105935 | − | 1.41360i | ||||
\(383\) | 6.52339 | − | 16.6213i | 0.333330 | − | 0.849310i | −0.661703 | − | 0.749766i | \(-0.730166\pi\) |
0.995033 | − | 0.0995446i | \(-0.0317386\pi\) | |||||||
\(384\) | −3.53798 | − | 1.70380i | −0.180547 | − | 0.0869468i | ||||
\(385\) | −16.3025 | + | 5.49075i | −0.830852 | + | 0.279834i | ||||
\(386\) | −34.1009 | + | 16.4221i | −1.73569 | + | 0.835865i | ||||
\(387\) | −0.754424 | − | 10.0671i | −0.0383495 | − | 0.511739i | ||||
\(388\) | −7.04937 | − | 2.17444i | −0.357878 | − | 0.110391i | ||||
\(389\) | −7.38279 | + | 5.03350i | −0.374323 | + | 0.255209i | −0.735838 | − | 0.677157i | \(-0.763212\pi\) |
0.361516 | + | 0.932366i | \(0.382259\pi\) | |||||||
\(390\) | 1.31323 | + | 0.197937i | 0.0664978 | + | 0.0100229i | ||||
\(391\) | 6.94666 | 0.351307 | ||||||||
\(392\) | 10.9116 | + | 9.12847i | 0.551117 | + | 0.461057i | ||||
\(393\) | 5.78132 | 0.291629 | ||||||||
\(394\) | 1.13562 | + | 0.171167i | 0.0572117 | + | 0.00862327i | ||||
\(395\) | −16.0701 | + | 10.9564i | −0.808574 | + | 0.551276i | ||||
\(396\) | −5.26516 | − | 1.62409i | −0.264584 | − | 0.0816134i | ||||
\(397\) | −0.467489 | − | 6.23820i | −0.0234626 | − | 0.313087i | −0.996571 | − | 0.0827397i | \(-0.973633\pi\) |
0.973109 | − | 0.230347i | \(-0.0739861\pi\) | |||||||
\(398\) | 32.1679 | − | 15.4912i | 1.61243 | − | 0.776505i | ||||
\(399\) | −2.14501 | − | 1.38315i | −0.107385 | − | 0.0692440i | ||||
\(400\) | 9.85816 | + | 4.74744i | 0.492908 | + | 0.237372i | ||||
\(401\) | 7.38554 | − | 18.8181i | 0.368816 | − | 0.939729i | −0.619180 | − | 0.785249i | \(-0.712535\pi\) |
0.987996 | − | 0.154479i | \(-0.0493700\pi\) | |||||||
\(402\) | −0.0368123 | + | 0.491226i | −0.00183603 | + | 0.0245001i | ||||
\(403\) | 1.36677 | + | 3.48247i | 0.0680836 | + | 0.173474i | ||||
\(404\) | −0.755786 | + | 0.233129i | −0.0376018 | + | 0.0115986i | ||||
\(405\) | 13.7546 | − | 17.2477i | 0.683471 | − | 0.857046i | ||||
\(406\) | 0.142122 | − | 0.261440i | 0.00705341 | − | 0.0129750i | ||||
\(407\) | −16.3673 | − | 20.5239i | −0.811296 | − | 1.01733i | ||||
\(408\) | −0.747470 | − | 0.509617i | −0.0370053 | − | 0.0252298i | ||||
\(409\) | 17.3561 | + | 16.1041i | 0.858205 | + | 0.796298i | 0.980566 | − | 0.196187i | \(-0.0628561\pi\) |
−0.122361 | + | 0.992486i | \(0.539047\pi\) | |||||||
\(410\) | −3.12407 | + | 5.41104i | −0.154287 | + | 0.267232i | ||||
\(411\) | −1.86020 | − | 3.22197i | −0.0917571 | − | 0.158928i | ||||
\(412\) | −3.07983 | + | 13.4936i | −0.151732 | + | 0.664783i | ||||
\(413\) | −3.73925 | + | 18.5676i | −0.183997 | + | 0.913652i | ||||
\(414\) | 5.00173 | + | 21.9140i | 0.245821 | + | 1.07701i | ||||
\(415\) | 8.50019 | − | 7.88703i | 0.417258 | − | 0.387159i | ||||
\(416\) | −4.14749 | + | 0.625134i | −0.203347 | + | 0.0306497i | ||||
\(417\) | 1.11805 | − | 0.168519i | 0.0547512 | − | 0.00825241i | ||||
\(418\) | −9.62932 | + | 8.93470i | −0.470985 | + | 0.437010i | ||||
\(419\) | 2.34829 | + | 10.2885i | 0.114722 | + | 0.502628i | 0.999340 | + | 0.0363132i | \(0.0115614\pi\) |
−0.884619 | + | 0.466315i | \(0.845581\pi\) | |||||||
\(420\) | 0.407406 | + | 1.59506i | 0.0198794 | + | 0.0778309i | ||||
\(421\) | 8.55595 | − | 37.4861i | 0.416992 | − | 1.82696i | −0.132149 | − | 0.991230i | \(-0.542188\pi\) |
0.549141 | − | 0.835730i | \(-0.314955\pi\) | |||||||
\(422\) | 15.2395 | + | 26.3955i | 0.741846 | + | 1.28491i | ||||
\(423\) | −14.8159 | + | 25.6620i | −0.720376 | + | 1.24773i | ||||
\(424\) | 2.61578 | + | 2.42709i | 0.127033 | + | 0.117870i | ||||
\(425\) | 2.73998 | + | 1.86809i | 0.132909 | + | 0.0906156i | ||||
\(426\) | −0.110157 | − | 0.138133i | −0.00533713 | − | 0.00669255i | ||||
\(427\) | −8.17995 | + | 1.44857i | −0.395855 | + | 0.0701014i | ||||
\(428\) | 4.45475 | − | 5.58608i | 0.215328 | − | 0.270013i | ||||
\(429\) | −0.686255 | + | 0.211682i | −0.0331327 | + | 0.0102201i | ||||
\(430\) | 5.67156 | + | 14.4509i | 0.273507 | + | 0.696884i | ||||
\(431\) | 0.837595 | − | 11.1769i | 0.0403455 | − | 0.538373i | −0.940012 | − | 0.341143i | \(-0.889186\pi\) |
0.980357 | − | 0.197231i | \(-0.0631949\pi\) | |||||||
\(432\) | 3.17227 | − | 8.08282i | 0.152626 | − | 0.388885i | ||||
\(433\) | −0.429584 | − | 0.206877i | −0.0206445 | − | 0.00994186i | 0.423533 | − | 0.905881i | \(-0.360790\pi\) |
−0.444178 | + | 0.895939i | \(0.646504\pi\) | |||||||
\(434\) | −11.8085 | + | 11.5347i | −0.566827 | + | 0.553685i | ||||
\(435\) | −0.0483850 | + | 0.0233010i | −0.00231988 | + | 0.00111720i | ||||
\(436\) | −0.955866 | − | 12.7551i | −0.0457777 | − | 0.610861i | ||||
\(437\) | 14.3856 | + | 4.43738i | 0.688158 | + | 0.212269i | ||||
\(438\) | −1.62447 | + | 1.10754i | −0.0776201 | + | 0.0529205i | ||||
\(439\) | 17.3079 | + | 2.60874i | 0.826059 | + | 0.124508i | 0.548448 | − | 0.836185i | \(-0.315219\pi\) |
0.277612 | + | 0.960693i | \(0.410457\pi\) | |||||||
\(440\) | −13.2140 | −0.629955 | ||||||||
\(441\) | −11.8747 | + | 16.5683i | −0.565464 | + | 0.788969i | ||||
\(442\) | −2.50314 | −0.119062 | ||||||||
\(443\) | −33.3998 | − | 5.03422i | −1.58687 | − | 0.239183i | −0.704490 | − | 0.709713i | \(-0.748824\pi\) |
−0.882384 | + | 0.470531i | \(0.844063\pi\) | |||||||
\(444\) | −2.07571 | + | 1.41519i | −0.0985086 | + | 0.0671620i | ||||
\(445\) | −35.5053 | − | 10.9519i | −1.68311 | − | 0.519172i | ||||
\(446\) | −1.70304 | − | 22.7255i | −0.0806414 | − | 1.07608i | ||||
\(447\) | 2.08451 | − | 1.00385i | 0.0985941 | − | 0.0474804i | ||||
\(448\) | 4.01851 | + | 6.56509i | 0.189857 | + | 0.310171i | ||||
\(449\) | 32.2881 | + | 15.5491i | 1.52377 | + | 0.733808i | 0.993480 | − | 0.114008i | \(-0.0363691\pi\) |
0.530289 | + | 0.847817i | \(0.322083\pi\) | |||||||
\(450\) | −3.92025 | + | 9.98864i | −0.184802 | + | 0.470869i | ||||
\(451\) | 0.252494 | − | 3.36929i | 0.0118895 | − | 0.158654i | ||||
\(452\) | 3.06506 | + | 7.80965i | 0.144168 | + | 0.367335i | ||||
\(453\) | −0.788464 | + | 0.243209i | −0.0370453 | + | 0.0114270i | ||||
\(454\) | −2.70406 | + | 3.39078i | −0.126908 | + | 0.159137i | ||||
\(455\) | −5.32989 | − | 4.69666i | −0.249869 | − | 0.220183i | ||||
\(456\) | −1.22238 | − | 1.53282i | −0.0572433 | − | 0.0717808i | ||||
\(457\) | −21.6374 | − | 14.7521i | −1.01216 | − | 0.690076i | −0.0607931 | − | 0.998150i | \(-0.519363\pi\) |
−0.951362 | + | 0.308075i | \(0.900315\pi\) | |||||||
\(458\) | −20.0070 | − | 18.5638i | −0.934866 | − | 0.867429i | ||||
\(459\) | 1.31582 | − | 2.27908i | 0.0614175 | − | 0.106378i | ||||
\(460\) | −4.85519 | − | 8.40943i | −0.226374 | − | 0.392092i | ||||
\(461\) | 2.59037 | − | 11.3492i | 0.120646 | − | 0.528583i | −0.878098 | − | 0.478480i | \(-0.841188\pi\) |
0.998744 | − | 0.0501031i | \(-0.0159550\pi\) | |||||||
\(462\) | −2.03869 | − | 2.42597i | −0.0948483 | − | 0.112866i | ||||
\(463\) | −7.61745 | − | 33.3742i | −0.354013 | − | 1.55103i | −0.767819 | − | 0.640667i | \(-0.778658\pi\) |
0.413806 | − | 0.910365i | \(-0.364199\pi\) | |||||||
\(464\) | 0.244820 | − | 0.227160i | 0.0113655 | − | 0.0105456i | ||||
\(465\) | 2.94582 | − | 0.444011i | 0.136609 | − | 0.0205905i | ||||
\(466\) | −3.29100 | + | 0.496038i | −0.152452 | + | 0.0229785i | ||||
\(467\) | 12.9869 | − | 12.0501i | 0.600963 | − | 0.557613i | −0.319923 | − | 0.947444i | \(-0.603657\pi\) |
0.920886 | + | 0.389831i | \(0.127467\pi\) | |||||||
\(468\) | −0.506328 | − | 2.21837i | −0.0234050 | − | 0.102544i | ||||
\(469\) | 1.58947 | − | 2.10162i | 0.0733950 | − | 0.0970437i | ||||
\(470\) | 10.1395 | − | 44.4238i | 0.467698 | − | 2.04912i | ||||
\(471\) | −1.21088 | − | 2.09730i | −0.0557943 | − | 0.0966386i | ||||
\(472\) | −7.27457 | + | 12.5999i | −0.334839 | + | 0.579959i | ||||
\(473\) | −6.15380 | − | 5.70989i | −0.282952 | − | 0.262541i | ||||
\(474\) | −2.96028 | − | 2.01828i | −0.135970 | − | 0.0927029i | ||||
\(475\) | 4.48086 | + | 5.61881i | 0.205596 | + | 0.257809i | ||||
\(476\) | −1.20738 | − | 2.85836i | −0.0553404 | − | 0.131013i | ||||
\(477\) | −3.18783 | + | 3.99741i | −0.145961 | + | 0.183029i | ||||
\(478\) | 33.7950 | − | 10.4244i | 1.54575 | − | 0.476799i | ||||
\(479\) | 10.9056 | + | 27.7869i | 0.498287 | + | 1.26962i | 0.929985 | + | 0.367597i | \(0.119819\pi\) |
−0.431698 | + | 0.902018i | \(0.642085\pi\) | |||||||
\(480\) | −0.249601 | + | 3.33069i | −0.0113927 | + | 0.152025i | ||||
\(481\) | 3.96058 | − | 10.0914i | 0.180587 | − | 0.460128i | ||||
\(482\) | −39.9389 | − | 19.2336i | −1.81917 | − | 0.876065i | ||||
\(483\) | −1.23958 | + | 3.41356i | −0.0564029 | + | 0.155322i | ||||
\(484\) | 3.61595 | − | 1.74135i | 0.164361 | − | 0.0791523i | ||||
\(485\) | −1.89439 | − | 25.2789i | −0.0860200 | − | 1.14786i | ||||
\(486\) | 12.2661 | + | 3.78358i | 0.556399 | + | 0.171626i | ||||
\(487\) | 18.6270 | − | 12.6996i | 0.844068 | − | 0.575476i | −0.0622555 | − | 0.998060i | \(-0.519829\pi\) |
0.906324 | + | 0.422584i | \(0.138877\pi\) | |||||||
\(488\) | −6.30996 | − | 0.951073i | −0.285638 | − | 0.0430531i | ||||
\(489\) | −4.58326 | −0.207262 | ||||||||
\(490\) | 9.93934 | − | 29.7283i | 0.449014 | − | 1.34299i | ||||
\(491\) | −32.3306 | −1.45906 | −0.729530 | − | 0.683949i | \(-0.760261\pi\) | ||||
−0.729530 | + | 0.683949i | \(0.760261\pi\) | |||||||
\(492\) | −0.319735 | − | 0.0481922i | −0.0144147 | − | 0.00217267i | ||||
\(493\) | 0.0836323 | − | 0.0570195i | 0.00376661 | − | 0.00256803i | ||||
\(494\) | −5.18368 | − | 1.59895i | −0.233225 | − | 0.0719403i | ||||
\(495\) | −1.41492 | − | 18.8808i | −0.0635958 | − | 0.848627i | ||||
\(496\) | −16.6919 | + | 8.03839i | −0.749488 | + | 0.360934i | ||||
\(497\) | 0.0947935 | + | 0.940309i | 0.00425207 | + | 0.0421786i | ||||
\(498\) | 1.92450 | + | 0.926791i | 0.0862390 | + | 0.0415305i | ||||
\(499\) | −2.11041 | + | 5.37723i | −0.0944747 | + | 0.240718i | −0.970297 | − | 0.241916i | \(-0.922224\pi\) |
0.875823 | + | 0.482633i | \(0.160320\pi\) | |||||||
\(500\) | −0.437520 | + | 5.83830i | −0.0195665 | + | 0.261097i | ||||
\(501\) | −2.57137 | − | 6.55173i | −0.114880 | − | 0.292710i | ||||
\(502\) | 17.9801 | − | 5.54612i | 0.802491 | − | 0.247536i | ||||
\(503\) | 13.4356 | − | 16.8477i | 0.599062 | − | 0.751200i | −0.386169 | − | 0.922428i | \(-0.626202\pi\) |
0.985231 | + | 0.171228i | \(0.0547734\pi\) | |||||||
\(504\) | −12.7068 | + | 9.14982i | −0.566007 | + | 0.407565i | ||||
\(505\) | −1.69454 | − | 2.12489i | −0.0754062 | − | 0.0945563i | ||||
\(506\) | 15.4434 | + | 10.5291i | 0.686543 | + | 0.468077i | ||||
\(507\) | −0.217405 | − | 0.201723i | −0.00965531 | − | 0.00895882i | ||||
\(508\) | 2.67191 | − | 4.62789i | 0.118547 | − | 0.205329i | ||||
\(509\) | −11.5701 | − | 20.0400i | −0.512835 | − | 0.888257i | −0.999889 | − | 0.0148849i | \(-0.995262\pi\) |
0.487054 | − | 0.873372i | \(-0.338072\pi\) | |||||||
\(510\) | −0.443551 | + | 1.94332i | −0.0196408 | + | 0.0860518i | ||||
\(511\) | 10.5135 | − | 0.269958i | 0.465088 | − | 0.0119422i | ||||
\(512\) | −0.142864 | − | 0.625928i | −0.00631375 | − | 0.0276624i | ||||
\(513\) | 4.18073 | − | 3.87915i | 0.184584 | − | 0.171269i | ||||
\(514\) | −14.0741 | + | 2.12133i | −0.620782 | + | 0.0935679i | ||||
\(515\) | −47.0290 | + | 7.08848i | −2.07234 | + | 0.312356i | ||||
\(516\) | −0.588920 | + | 0.546438i | −0.0259258 | + | 0.0240556i | ||||
\(517\) | 5.48301 | + | 24.0226i | 0.241142 | + | 1.05651i | ||||
\(518\) | 47.8186 | − | 1.22786i | 2.10103 | − | 0.0539489i | ||||
\(519\) | 0.462637 | − | 2.02695i | 0.0203075 | − | 0.0889730i | ||||
\(520\) | −2.72847 | − | 4.72585i | −0.119651 | − | 0.207242i | ||||
\(521\) | −0.817245 | + | 1.41551i | −0.0358041 | + | 0.0620146i | −0.883372 | − | 0.468672i | \(-0.844733\pi\) |
0.847568 | + | 0.530687i | \(0.178066\pi\) | |||||||
\(522\) | 0.240091 | + | 0.222772i | 0.0105085 | + | 0.00975047i | ||||
\(523\) | −26.7912 | − | 18.2659i | −1.17150 | − | 0.798712i | −0.188452 | − | 0.982082i | \(-0.560347\pi\) |
−0.983044 | + | 0.183370i | \(0.941299\pi\) | |||||||
\(524\) | 9.49695 | + | 11.9088i | 0.414876 | + | 0.520238i | ||||
\(525\) | −1.40690 | + | 1.01307i | −0.0614023 | + | 0.0442141i | ||||
\(526\) | 14.0905 | − | 17.6690i | 0.614377 | − | 0.770404i | ||||
\(527\) | −5.36557 | + | 1.65506i | −0.233728 | + | 0.0720954i | ||||
\(528\) | −1.29933 | − | 3.31064i | −0.0565460 | − | 0.144077i | ||||
\(529\) | −0.117992 | + | 1.57449i | −0.00513008 | + | 0.0684561i | ||||
\(530\) | 2.87242 | − | 7.31881i | 0.124770 | − | 0.317909i | ||||
\(531\) | −18.7822 | − | 9.04505i | −0.815079 | − | 0.392522i | ||||
\(532\) | −0.674480 | − | 6.69054i | −0.0292424 | − | 0.290072i | ||||
\(533\) | 1.25712 | − | 0.605399i | 0.0544521 | − | 0.0262227i | ||||
\(534\) | −0.511493 | − | 6.82540i | −0.0221345 | − | 0.295364i | ||||
\(535\) | 23.4609 | + | 7.23674i | 1.01430 | + | 0.312872i | ||||
\(536\) | 1.67238 | − | 1.14021i | 0.0722358 | − | 0.0492495i | ||||
\(537\) | 4.64439 | + | 0.700029i | 0.200420 | + | 0.0302085i | ||||
\(538\) | −5.66965 | −0.244436 | ||||||||
\(539\) | 2.13253 | + | 16.8159i | 0.0918548 | + | 0.724312i | ||||
\(540\) | −3.67865 | −0.158304 | ||||||||
\(541\) | 29.7221 | + | 4.47989i | 1.27785 | + | 0.192605i | 0.752678 | − | 0.658389i | \(-0.228762\pi\) |
0.525175 | + | 0.850994i | \(0.324000\pi\) | |||||||
\(542\) | 16.4465 | − | 11.2130i | 0.706437 | − | 0.481640i | ||||
\(543\) | 0.761372 | + | 0.234852i | 0.0326736 | + | 0.0100785i | ||||
\(544\) | −0.470450 | − | 6.27772i | −0.0201704 | − | 0.269155i | ||||
\(545\) | 39.6004 | − | 19.0705i | 1.69629 | − | 0.816892i | ||||
\(546\) | 0.446668 | − | 1.23003i | 0.0191156 | − | 0.0526406i | ||||
\(547\) | −14.4974 | − | 6.98159i | −0.619865 | − | 0.298511i | 0.0974711 | − | 0.995238i | \(-0.468925\pi\) |
−0.717336 | + | 0.696727i | \(0.754639\pi\) | |||||||
\(548\) | 3.58111 | − | 9.12451i | 0.152977 | − | 0.389780i | ||||
\(549\) | 0.683282 | − | 9.11776i | 0.0291618 | − | 0.389137i | ||||
\(550\) | 3.25989 | + | 8.30606i | 0.139002 | + | 0.354172i | ||||
\(551\) | 0.209614 | − | 0.0646575i | 0.00892988 | − | 0.00275450i | ||||
\(552\) | −1.73934 | + | 2.18106i | −0.0740311 | + | 0.0928320i | ||||
\(553\) | 7.45742 | + | 17.6546i | 0.317122 | + | 0.750752i | ||||
\(554\) | −20.5127 | − | 25.7221i | −0.871501 | − | 1.09283i | ||||
\(555\) | −7.13269 | − | 4.86299i | −0.302766 | − | 0.206422i | ||||
\(556\) | 2.18375 | + | 2.02622i | 0.0926115 | + | 0.0859309i | ||||
\(557\) | −3.88595 | + | 6.73067i | −0.164653 | + | 0.285187i | −0.936532 | − | 0.350582i | \(-0.885984\pi\) |
0.771879 | + | 0.635770i | \(0.219317\pi\) | |||||||
\(558\) | −9.08437 | − | 15.7346i | −0.384572 | − | 0.666098i | ||||
\(559\) | 0.771424 | − | 3.37983i | 0.0326278 | − | 0.142952i | ||||
\(560\) | 21.2213 | − | 28.0590i | 0.896763 | − | 1.18571i | ||||
\(561\) | −0.239854 | − | 1.05087i | −0.0101267 | − | 0.0443678i | ||||
\(562\) | 18.5959 | − | 17.2544i | 0.784419 | − | 0.727835i | ||||
\(563\) | 11.6210 | − | 1.75158i | 0.489765 | − | 0.0738202i | 0.100483 | − | 0.994939i | \(-0.467961\pi\) |
0.389282 | + | 0.921119i | \(0.372723\pi\) | |||||||
\(564\) | 2.33176 | − | 0.351456i | 0.0981846 | − | 0.0147989i | ||||
\(565\) | −21.1331 | + | 19.6087i | −0.889077 | + | 0.824943i | ||||
\(566\) | −3.67806 | − | 16.1146i | −0.154600 | − | 0.677349i | ||||
\(567\) | −13.9851 | − | 16.6418i | −0.587319 | − | 0.698890i | ||||
\(568\) | −0.161542 | + | 0.707763i | −0.00677816 | + | 0.0296971i | ||||
\(569\) | 12.2821 | + | 21.2732i | 0.514891 | + | 0.891818i | 0.999851 | + | 0.0172811i | \(0.00550100\pi\) |
−0.484960 | + | 0.874537i | \(0.661166\pi\) | |||||||
\(570\) | −2.15989 | + | 3.74104i | −0.0904678 | + | 0.156695i | ||||
\(571\) | 23.8819 | + | 22.1592i | 0.999428 | + | 0.927334i | 0.997356 | − | 0.0726639i | \(-0.0231500\pi\) |
0.00207183 | + | 0.999998i | \(0.499341\pi\) | |||||||
\(572\) | −1.56335 | − | 1.06587i | −0.0653669 | − | 0.0445664i | ||||
\(573\) | 3.07191 | + | 3.85205i | 0.128331 | + | 0.160922i | ||||
\(574\) | 4.61918 | + | 4.07039i | 0.192801 | + | 0.169895i | ||||
\(575\) | 6.37584 | − | 7.99505i | 0.265891 | − | 0.333417i | ||||
\(576\) | −8.09566 | + | 2.49718i | −0.337319 | + | 0.104049i | ||||
\(577\) | −4.34397 | − | 11.0683i | −0.180842 | − | 0.460778i | 0.811492 | − | 0.584364i | \(-0.198656\pi\) |
−0.992334 | + | 0.123586i | \(0.960561\pi\) | |||||||
\(578\) | −1.83797 | + | 24.5259i | −0.0764493 | + | 1.02014i | ||||
\(579\) | 2.45901 | − | 6.26545i | 0.102193 | − | 0.260383i | ||||
\(580\) | −0.127479 | − | 0.0613906i | −0.00529327 | − | 0.00254911i | ||||
\(581\) | −5.96508 | − | 9.74524i | −0.247473 | − | 0.404301i | ||||
\(582\) | 4.20726 | − | 2.02611i | 0.174396 | − | 0.0839848i | ||||
\(583\) | 0.317724 | + | 4.23973i | 0.0131588 | + | 0.175592i | ||||
\(584\) | 7.71972 | + | 2.38122i | 0.319444 | + | 0.0985355i | ||||
\(585\) | 6.46033 | − | 4.40458i | 0.267102 | − | 0.182107i | ||||
\(586\) | −5.80547 | − | 0.875034i | −0.239822 | − | 0.0361473i | ||||
\(587\) | −14.9999 | −0.619111 | −0.309556 | − | 0.950881i | \(-0.600180\pi\) | ||||
−0.309556 | + | 0.950881i | \(0.600180\pi\) | |||||||
\(588\) | 1.62004 | − | 0.0832514i | 0.0668092 | − | 0.00343323i | ||||
\(589\) | −12.1686 | −0.501399 | ||||||||
\(590\) | 31.6989 | + | 4.77783i | 1.30502 | + | 0.196700i | ||||
\(591\) | −0.168741 | + | 0.115046i | −0.00694109 | + | 0.00473236i | ||||
\(592\) | 51.3007 | + | 15.8242i | 2.10845 | + | 0.650370i | ||||
\(593\) | −0.821509 | − | 10.9623i | −0.0337353 | − | 0.450167i | −0.988337 | − | 0.152282i | \(-0.951338\pi\) |
0.954602 | − | 0.297885i | \(-0.0962812\pi\) | |||||||
\(594\) | 6.37969 | − | 3.07230i | 0.261762 | − | 0.126058i | ||||
\(595\) | 7.62737 | − | 7.45052i | 0.312692 | − | 0.305442i | ||||
\(596\) | 5.49203 | + | 2.64482i | 0.224962 | + | 0.108336i | ||||
\(597\) | −2.31962 | + | 5.91028i | −0.0949355 | + | 0.241892i | ||||
\(598\) | −0.576828 | + | 7.69724i | −0.0235883 | + | 0.314764i | ||||
\(599\) | 0.105205 | + | 0.268059i | 0.00429857 | + | 0.0109526i | 0.933007 | − | 0.359858i | \(-0.117175\pi\) |
−0.928708 | + | 0.370811i | \(0.879080\pi\) | |||||||
\(600\) | −1.27258 | + | 0.392539i | −0.0519528 | + | 0.0160253i | ||||
\(601\) | 12.7881 | − | 16.0357i | 0.521637 | − | 0.654112i | −0.449319 | − | 0.893371i | \(-0.648333\pi\) |
0.970956 | + | 0.239260i | \(0.0769048\pi\) | |||||||
\(602\) | 15.0625 | − | 2.66739i | 0.613901 | − | 0.108715i | ||||
\(603\) | 1.80825 | + | 2.26747i | 0.0736376 | + | 0.0923387i | ||||
\(604\) | −1.79619 | − | 1.22462i | −0.0730859 | − | 0.0498291i | ||||
\(605\) | 10.1096 | + | 9.38037i | 0.411015 | + | 0.381366i | ||||
\(606\) | 0.250327 | − | 0.433579i | 0.0101688 | − | 0.0176129i | ||||
\(607\) | 8.16240 | + | 14.1377i | 0.331302 | + | 0.573831i | 0.982767 | − | 0.184847i | \(-0.0591789\pi\) |
−0.651466 | + | 0.758678i | \(0.725846\pi\) | |||||||
\(608\) | 3.03584 | − | 13.3009i | 0.123119 | − | 0.539421i | ||||
\(609\) | 0.0130956 | + | 0.0512713i | 0.000530661 | + | 0.00207762i | ||||
\(610\) | 3.12867 | + | 13.7076i | 0.126676 | + | 0.555004i | ||||
\(611\) | −7.45927 | + | 6.92119i | −0.301770 | + | 0.280001i | ||||
\(612\) | 3.37706 | − | 0.509009i | 0.136509 | − | 0.0205755i | ||||
\(613\) | −42.6561 | + | 6.42937i | −1.72286 | + | 0.259680i | −0.934611 | − | 0.355671i | \(-0.884252\pi\) |
−0.788253 | + | 0.615351i | \(0.789014\pi\) | |||||||
\(614\) | −36.2751 | + | 33.6584i | −1.46395 | + | 1.35834i | ||||
\(615\) | −0.247244 | − | 1.08325i | −0.00996985 | − | 0.0436808i | ||||
\(616\) | −2.57057 | + | 12.7644i | −0.103571 | + | 0.514292i | ||||
\(617\) | 8.67360 | − | 38.0015i | 0.349186 | − | 1.52988i | −0.429847 | − | 0.902902i | \(-0.641433\pi\) |
0.779033 | − | 0.626982i | \(-0.215710\pi\) | |||||||
\(618\) | −4.38054 | − | 7.58733i | −0.176211 | − | 0.305207i | ||||
\(619\) | −11.7283 | + | 20.3140i | −0.471400 | + | 0.816489i | −0.999465 | − | 0.0327150i | \(-0.989585\pi\) |
0.528064 | + | 0.849204i | \(0.322918\pi\) | |||||||
\(620\) | 5.75369 | + | 5.33865i | 0.231074 | + | 0.214405i | ||||
\(621\) | −6.70501 | − | 4.57140i | −0.269063 | − | 0.183444i | ||||
\(622\) | −25.7221 | − | 32.2545i | −1.03136 | − | 1.29329i | ||||
\(623\) | −17.4862 | + | 32.1666i | −0.700571 | + | 1.28873i | ||||
\(624\) | 0.915722 | − | 1.14828i | 0.0366582 | − | 0.0459680i | ||||
\(625\) | −29.7810 | + | 9.18622i | −1.19124 | + | 0.367449i | ||||
\(626\) | −0.603481 | − | 1.53764i | −0.0241199 | − | 0.0614566i | ||||
\(627\) | 0.174567 | − | 2.32943i | 0.00697153 | − | 0.0930285i | ||||
\(628\) | 2.33108 | − | 5.93949i | 0.0930202 | − | 0.237012i | ||||
\(629\) | 14.6597 | + | 7.05975i | 0.584521 | + | 0.281491i | ||||
\(630\) | 28.9953 | + | 18.6969i | 1.15520 | + | 0.744900i | ||||
\(631\) | 32.9753 | − | 15.8800i | 1.31272 | − | 0.632175i | 0.359135 | − | 0.933286i | \(-0.383072\pi\) |
0.953589 | + | 0.301111i | \(0.0973575\pi\) | |||||||
\(632\) | 1.10016 | + | 14.6806i | 0.0437619 | + | 0.583962i | ||||
\(633\) | −5.17928 | − | 1.59759i | −0.205858 | − | 0.0634987i | ||||
\(634\) | −15.8952 | + | 10.8372i | −0.631281 | + | 0.430400i | ||||
\(635\) | 18.1578 | + | 2.73684i | 0.720569 | + | 0.108608i | ||||
\(636\) | 0.406881 | 0.0161339 | ||||||||
\(637\) | −5.57368 | + | 4.23487i | −0.220837 | + | 0.167792i | ||||
\(638\) | 0.272352 | 0.0107825 | ||||||||
\(639\) | −1.02858 | − | 0.155033i | −0.0406899 | − | 0.00613302i | ||||
\(640\) | 29.3743 | − | 20.0271i | 1.16112 | − | 0.791639i | ||||
\(641\) | −32.9242 | − | 10.1558i | −1.30043 | − | 0.401129i | −0.434218 | − | 0.900808i | \(-0.642975\pi\) |
−0.866211 | + | 0.499679i | \(0.833451\pi\) | |||||||
\(642\) | 0.337980 | + | 4.51004i | 0.0133390 | + | 0.177997i | ||||
\(643\) | −6.33571 | + | 3.05112i | −0.249856 | + | 0.120324i | −0.554620 | − | 0.832103i | \(-0.687137\pi\) |
0.304764 | + | 0.952428i | \(0.401422\pi\) | |||||||
\(644\) | −9.06777 | + | 3.05406i | −0.357320 | + | 0.120347i | ||||
\(645\) | −2.48725 | − | 1.19780i | −0.0979353 | − | 0.0471632i | ||||
\(646\) | 2.97459 | − | 7.57914i | 0.117034 | − | 0.298197i | ||||
\(647\) | 2.38712 | − | 31.8539i | 0.0938473 | − | 1.25230i | −0.729188 | − | 0.684314i | \(-0.760102\pi\) |
0.823035 | − | 0.567991i | \(-0.192279\pi\) | |||||||
\(648\) | −6.10047 | − | 15.5437i | −0.239649 | − | 0.610616i | ||||
\(649\) | −16.5649 | + | 5.10961i | −0.650231 | + | 0.200570i | ||||
\(650\) | −2.29746 | + | 2.88092i | −0.0901136 | + | 0.112999i | ||||
\(651\) | 0.144157 | − | 2.93195i | 0.00564997 | − | 0.114912i | ||||
\(652\) | −7.52891 | − | 9.44096i | −0.294855 | − | 0.369736i | ||||
\(653\) | 4.08282 | + | 2.78362i | 0.159773 | + | 0.108932i | 0.640567 | − | 0.767902i | \(-0.278699\pi\) |
−0.480794 | + | 0.876833i | \(0.659652\pi\) | |||||||
\(654\) | 5.93524 | + | 5.50710i | 0.232086 | + | 0.215345i | ||||
\(655\) | −26.1705 | + | 45.3287i | −1.02257 | + | 1.77114i | ||||
\(656\) | 3.45491 | + | 5.98408i | 0.134892 | + | 0.233639i | ||||
\(657\) | −2.57578 | + | 11.2852i | −0.100491 | + | 0.440278i | ||||
\(658\) | −40.9397 | − | 18.4363i | −1.59600 | − | 0.718723i | ||||
\(659\) | 8.29821 | + | 36.3569i | 0.323253 | + | 1.41626i | 0.831727 | + | 0.555185i | \(0.187352\pi\) |
−0.508474 | + | 0.861077i | \(0.669790\pi\) | |||||||
\(660\) | −1.10452 | + | 1.02484i | −0.0429932 | + | 0.0398919i | ||||
\(661\) | 42.4647 | − | 6.40052i | 1.65168 | − | 0.248951i | 0.743870 | − | 0.668325i | \(-0.232988\pi\) |
0.907814 | + | 0.419373i | \(0.137750\pi\) | |||||||
\(662\) | −17.7626 | + | 2.67728i | −0.690362 | + | 0.104055i | ||||
\(663\) | 0.326306 | − | 0.302768i | 0.0126727 | − | 0.0117585i | ||||
\(664\) | −1.95304 | − | 8.55683i | −0.0757927 | − | 0.332069i | ||||
\(665\) | 20.5545 | − | 10.5569i | 0.797070 | − | 0.409378i | ||||
\(666\) | −11.7155 | + | 51.3288i | −0.453965 | + | 1.98895i | ||||
\(667\) | −0.156065 | − | 0.270312i | −0.00604284 | − | 0.0104665i | ||||
\(668\) | 9.27179 | − | 16.0592i | 0.358736 | − | 0.621349i | ||||
\(669\) | 2.97078 | + | 2.75648i | 0.114857 | + | 0.106572i | ||||
\(670\) | −3.68484 | − | 2.51228i | −0.142358 | − | 0.0970579i | ||||
\(671\) | −4.74048 | − | 5.94437i | −0.183004 | − | 0.229480i | ||||
\(672\) | 3.16880 | + | 0.889038i | 0.122239 | + | 0.0342954i | ||||
\(673\) | 8.03830 | − | 10.0797i | 0.309854 | − | 0.388544i | −0.602383 | − | 0.798207i | \(-0.705782\pi\) |
0.912237 | + | 0.409663i | \(0.134354\pi\) | |||||||
\(674\) | −24.4279 | + | 7.53500i | −0.940926 | + | 0.290237i | ||||
\(675\) | −1.41533 | − | 3.60621i | −0.0544763 | − | 0.138803i | ||||
\(676\) | 0.0583928 | − | 0.779198i | 0.00224588 | − | 0.0299691i | ||||
\(677\) | 4.82062 | − | 12.2827i | 0.185272 | − | 0.472064i | −0.807817 | − | 0.589434i | \(-0.799351\pi\) |
0.993088 | + | 0.117369i | \(0.0374461\pi\) | |||||||
\(678\) | −4.78468 | − | 2.30418i | −0.183755 | − | 0.0884916i | ||||
\(679\) | −24.7873 | − | 3.08766i | −0.951248 | − | 0.118493i | ||||
\(680\) | 7.37928 | − | 3.55367i | 0.282983 | − | 0.136277i | ||||
\(681\) | −0.0576352 | − | 0.769088i | −0.00220858 | − | 0.0294715i | ||||
\(682\) | −14.4370 | − | 4.45323i | −0.552822 | − | 0.170523i | ||||
\(683\) | −13.3017 | + | 9.06898i | −0.508977 | + | 0.347015i | −0.790422 | − | 0.612563i | \(-0.790139\pi\) |
0.281445 | + | 0.959577i | \(0.409186\pi\) | |||||||
\(684\) | 7.31859 | + | 1.10310i | 0.279833 | + | 0.0421781i | ||||
\(685\) | 33.6827 | 1.28695 | ||||||||
\(686\) | −26.7832 | − | 15.3843i | −1.02259 | − | 0.587374i | ||||
\(687\) | 4.85348 | 0.185172 | ||||||||
\(688\) | 16.9763 | + | 2.55877i | 0.647215 | + | 0.0975520i | ||||
\(689\) | −1.45069 | + | 0.989061i | −0.0552668 | + | 0.0376802i | ||||
\(690\) | 5.87357 | + | 1.81176i | 0.223603 | + | 0.0689724i | ||||
\(691\) | −2.59205 | − | 34.5885i | −0.0986061 | − | 1.31581i | −0.798688 | − | 0.601745i | \(-0.794472\pi\) |
0.700082 | − | 0.714062i | \(-0.253147\pi\) | |||||||
\(692\) | 4.93523 | − | 2.37668i | 0.187609 | − | 0.0903479i | ||||
\(693\) | −18.5135 | − | 2.30616i | −0.703271 | − | 0.0876039i | ||||
\(694\) | 40.9127 | + | 19.7025i | 1.55302 | + | 0.747897i | ||||
\(695\) | −3.73985 | + | 9.52898i | −0.141861 | + | 0.361455i | ||||
\(696\) | −0.00303768 | + | 0.0405351i | −0.000115143 | + | 0.00153648i | ||||
\(697\) | 0.765106 | + | 1.94946i | 0.0289805 | + | 0.0738410i | ||||
\(698\) | 3.50044 | − | 1.07974i | 0.132493 | − | 0.0408688i | ||||
\(699\) | 0.369012 | − | 0.462726i | 0.0139573 | − | 0.0175019i | ||||
\(700\) | −4.39792 | − | 1.23388i | −0.166226 | − | 0.0466362i | ||||
\(701\) | −18.6472 | − | 23.3828i | −0.704295 | − | 0.883158i | 0.293041 | − | 0.956100i | \(-0.405333\pi\) |
−0.997336 | + | 0.0729421i | \(0.976761\pi\) | |||||||
\(702\) | 2.41607 | + | 1.64725i | 0.0911886 | + | 0.0621713i | ||||
\(703\) | 25.8488 | + | 23.9841i | 0.974904 | + | 0.904579i | ||||
\(704\) | −3.52247 | + | 6.10110i | −0.132758 | + | 0.229944i | ||||
\(705\) | 4.05153 | + | 7.01745i | 0.152589 | + | 0.264293i | ||||
\(706\) | 9.61549 | − | 42.1282i | 0.361884 | − | 1.58552i | ||||
\(707\) | −2.38223 | + | 1.22352i | −0.0895929 | + | 0.0460152i | ||||
\(708\) | 0.369156 | + | 1.61738i | 0.0138737 | + | 0.0607848i | ||||
\(709\) | 5.18786 | − | 4.81363i | 0.194834 | − | 0.180780i | −0.576723 | − | 0.816940i | \(-0.695669\pi\) |
0.771557 | + | 0.636160i | \(0.219478\pi\) | |||||||
\(710\) | 1.58169 | − | 0.238401i | 0.0593597 | − | 0.00894704i | ||||
\(711\) | −20.8584 | + | 3.14390i | −0.782251 | + | 0.117905i | ||||
\(712\) | −20.6163 | + | 19.1291i | −0.772628 | + | 0.716894i | ||||
\(713\) | 3.85291 | + | 16.8807i | 0.144292 | + | 0.632187i | ||||
\(714\) | 1.79091 | + | 0.806499i | 0.0670232 | + | 0.0301824i | ||||
\(715\) | 1.44680 | − | 6.33885i | 0.0541073 | − | 0.237060i | ||||
\(716\) | 6.18735 | + | 10.7168i | 0.231232 | + | 0.400506i | ||||
\(717\) | −3.14459 | + | 5.44658i | −0.117437 | + | 0.203406i | ||||
\(718\) | −10.3291 | − | 9.58399i | −0.385478 | − | 0.357671i | ||||
\(719\) | −16.7707 | − | 11.4341i | −0.625443 | − | 0.426420i | 0.208691 | − | 0.977982i | \(-0.433080\pi\) |
−0.834134 | + | 0.551562i | \(0.814032\pi\) | |||||||
\(720\) | 24.1422 | + | 30.2734i | 0.899728 | + | 1.12822i | ||||
\(721\) | −2.30142 | + | 46.8076i | −0.0857095 | + | 1.74321i | ||||
\(722\) | −8.75525 | + | 10.9787i | −0.325837 | + | 0.408586i | ||||
\(723\) | 7.53278 | − | 2.32356i | 0.280147 | − | 0.0864139i | ||||
\(724\) | 0.766937 | + | 1.95412i | 0.0285030 | + | 0.0726245i | ||||
\(725\) | 0.0111352 | − | 0.148588i | 0.000413549 | − | 0.00551843i | ||||
\(726\) | −0.928140 | + | 2.36486i | −0.0344465 | + | 0.0877683i | ||||
\(727\) | 23.6836 | + | 11.4054i | 0.878375 | + | 0.423003i | 0.818031 | − | 0.575174i | \(-0.195066\pi\) |
0.0603445 | + | 0.998178i | \(0.480780\pi\) | |||||||
\(728\) | −5.09582 | + | 1.71629i | −0.188864 | + | 0.0636100i | ||||
\(729\) | 20.1508 | − | 9.70410i | 0.746325 | − | 0.359411i | ||||
\(730\) | −1.33020 | − | 17.7503i | −0.0492329 | − | 0.656968i | ||||
\(731\) | 4.97211 | + | 1.53369i | 0.183900 | + | 0.0567257i | ||||
\(732\) | −0.601190 | + | 0.409884i | −0.0222206 | + | 0.0151498i | ||||
\(733\) | 13.6539 | + | 2.05799i | 0.504318 | + | 0.0760137i | 0.396274 | − | 0.918132i | \(-0.370303\pi\) |
0.108044 | + | 0.994146i | \(0.465541\pi\) | |||||||
\(734\) | −42.9074 | −1.58374 | ||||||||
\(735\) | 2.30011 | + | 5.07756i | 0.0848409 | + | 0.187288i | ||||
\(736\) | −19.4126 | −0.715559 | ||||||||
\(737\) | 2.38473 | + | 0.359441i | 0.0878428 | + | 0.0132402i | ||||
\(738\) | −5.59889 | + | 3.81726i | −0.206098 | + | 0.140515i | ||||
\(739\) | 37.6294 | + | 11.6071i | 1.38422 | + | 0.426975i | 0.895343 | − | 0.445377i | \(-0.146930\pi\) |
0.488877 | + | 0.872353i | \(0.337407\pi\) | |||||||
\(740\) | −1.69970 | − | 22.6809i | −0.0624821 | − | 0.833766i | ||||
\(741\) | 0.869139 | − | 0.418556i | 0.0319286 | − | 0.0153760i | ||||
\(742\) | −6.51099 | − | 4.19843i | −0.239026 | − | 0.154129i | ||||
\(743\) | 40.4062 | + | 19.4586i | 1.48236 | + | 0.713867i | 0.987865 | − | 0.155315i | \(-0.0496391\pi\) |
0.494494 | + | 0.869181i | \(0.335353\pi\) | |||||||
\(744\) | 0.823813 | − | 2.09904i | 0.0302024 | − | 0.0769546i | ||||
\(745\) | −1.56533 | + | 20.8879i | −0.0573493 | + | 0.765273i | ||||
\(746\) | −12.2816 | − | 31.2930i | −0.449662 | − | 1.14572i | ||||
\(747\) | 12.0172 | − | 3.70682i | 0.439687 | − | 0.135626i | ||||
\(748\) | 1.77066 | − | 2.22033i | 0.0647416 | − | 0.0811834i | ||||
\(749\) | 11.5544 | − | 21.2548i | 0.422189 | − | 0.776635i | ||||
\(750\) | −2.31065 | − | 2.89746i | −0.0843730 | − | 0.105800i | ||||
\(751\) | −2.65822 | − | 1.81234i | −0.0969999 | − | 0.0661334i | 0.513849 | − | 0.857881i | \(-0.328219\pi\) |
−0.610849 | + | 0.791747i | \(0.709172\pi\) | |||||||
\(752\) | −36.9399 | − | 34.2752i | −1.34706 | − | 1.24989i | ||||
\(753\) | −1.67303 | + | 2.89777i | −0.0609686 | + | 0.105601i | ||||
\(754\) | 0.0562359 | + | 0.0974035i | 0.00204799 | + | 0.00354723i | ||||
\(755\) | 1.66228 | − | 7.28294i | 0.0604967 | − | 0.265053i | ||||
\(756\) | −0.715619 | + | 3.55347i | −0.0260268 | + | 0.129239i | ||||
\(757\) | 9.92475 | + | 43.4832i | 0.360721 | + | 1.58042i | 0.751369 | + | 0.659883i | \(0.229394\pi\) |
−0.390648 | + | 0.920540i | \(0.627749\pi\) | |||||||
\(758\) | −14.7403 | + | 13.6770i | −0.535393 | + | 0.496772i | ||||
\(759\) | −3.28674 | + | 0.495396i | −0.119301 | + | 0.0179817i | ||||
\(760\) | 17.5515 | − | 2.64547i | 0.636662 | − | 0.0959613i | ||||
\(761\) | 4.73929 | − | 4.39742i | 0.171799 | − | 0.159406i | −0.589587 | − | 0.807705i | \(-0.700710\pi\) |
0.761386 | + | 0.648298i | \(0.224519\pi\) | |||||||
\(762\) | 0.752706 | + | 3.29782i | 0.0272677 | + | 0.119467i | ||||
\(763\) | −10.7180 | − | 41.9627i | −0.388018 | − | 1.51915i | ||||
\(764\) | −2.88854 | + | 12.6555i | −0.104504 | + | 0.457860i | ||||
\(765\) | 5.86779 | + | 10.1633i | 0.212150 | + | 0.367455i | ||||
\(766\) | −14.8893 | + | 25.7891i | −0.537974 | + | 0.931798i | ||||
\(767\) | −5.24776 | − | 4.86921i | −0.189486 | − | 0.175817i | ||||
\(768\) | 3.98524 | + | 2.71709i | 0.143805 | + | 0.0980446i | ||||
\(769\) | 11.2035 | + | 14.0487i | 0.404007 | + | 0.506609i | 0.941664 | − | 0.336555i | \(-0.109262\pi\) |
−0.537657 | + | 0.843164i | \(0.680690\pi\) | |||||||
\(770\) | 28.2496 | − | 5.00268i | 1.01804 | − | 0.180284i | ||||
\(771\) | 1.57810 | − | 1.97887i | 0.0568338 | − | 0.0712673i | ||||
\(772\) | 16.9455 | − | 5.22699i | 0.609881 | − | 0.188123i | ||||
\(773\) | 10.1691 | + | 25.9105i | 0.365758 | + | 0.931936i | 0.988732 | + | 0.149694i | \(0.0478287\pi\) |
−0.622975 | + | 0.782242i | \(0.714076\pi\) | |||||||
\(774\) | −1.25819 | + | 16.7894i | −0.0452247 | + | 0.603481i | ||||
\(775\) | −3.01983 | + | 7.69440i | −0.108476 | + | 0.276391i | ||||
\(776\) | −17.2874 | − | 8.32519i | −0.620583 | − | 0.298857i | ||||
\(777\) | −6.08506 | + | 5.94397i | −0.218300 | + | 0.213239i | ||||
\(778\) | 13.4263 | − | 6.46575i | 0.481355 | − | 0.231808i | ||||
\(779\) | 0.339163 | + | 4.52581i | 0.0121518 | + | 0.162154i | ||||
\(780\) | −0.594586 | − | 0.183405i | −0.0212896 | − | 0.00656697i | ||||
\(781\) | −0.714676 | + | 0.487258i | −0.0255731 | + | 0.0174355i | ||||
\(782\) | −11.4559 | − | 1.72669i | −0.409661 | − | 0.0617465i | ||||
\(783\) | −0.118246 | −0.00422577 | ||||||||
\(784\) | −22.9760 | − | 25.9576i | −0.820571 | − | 0.927057i | ||||
\(785\) | 21.9254 | 0.782549 | ||||||||
\(786\) | −9.53409 | − | 1.43703i | −0.340070 | − | 0.0512572i | ||||
\(787\) | −0.529467 | + | 0.360984i | −0.0188735 | + | 0.0128677i | −0.572720 | − | 0.819751i | \(-0.694112\pi\) |
0.553847 | + | 0.832619i | \(0.313159\pi\) | |||||||
\(788\) | −0.514171 | − | 0.158601i | −0.0183166 | − | 0.00564992i | ||||
\(789\) | 0.300330 | + | 4.00763i | 0.0106920 | + | 0.142675i | ||||
\(790\) | 29.2249 | − | 14.0740i | 1.03977 | − | 0.500729i | ||||
\(791\) | 14.8303 | + | 24.2285i | 0.527306 | + | 0.861468i | ||||
\(792\) | −12.9119 | − | 6.21807i | −0.458806 | − | 0.220949i | ||||
\(793\) | 1.14711 | − | 2.92279i | 0.0407351 | − | 0.103791i | ||||
\(794\) | −0.779653 | + | 10.4038i | −0.0276689 | + | 0.369215i | ||||
\(795\) | 0.510803 | + | 1.30151i | 0.0181163 | + | 0.0461596i | ||||
\(796\) | −15.9849 | + | 4.93068i | −0.566569 | + | 0.174763i | ||||
\(797\) | 18.7802 | − | 23.5496i | 0.665227 | − | 0.834168i | −0.328674 | − | 0.944443i | \(-0.606602\pi\) |
0.993901 | + | 0.110275i | \(0.0351732\pi\) | |||||||
\(798\) | 3.19357 | + | 2.81415i | 0.113051 | + | 0.0996198i | ||||
\(799\) | −9.52239 | − | 11.9407i | −0.336878 | − | 0.422432i | ||||
\(800\) | −7.65696 | − | 5.22043i | −0.270714 | − | 0.184570i | ||||
\(801\) | −29.5400 | − | 27.4091i | −1.04374 | − | 0.968454i | ||||
\(802\) | −16.8572 | + | 29.1974i | −0.595247 | + | 1.03100i | ||||
\(803\) | 4.81278 | + | 8.33598i | 0.169839 | + | 0.294170i | ||||
\(804\) | 0.0513572 | − | 0.225011i | 0.00181123 | − | 0.00793551i | ||||
\(805\) | −21.1529 | − | 25.1713i | −0.745543 | − | 0.887173i | ||||
\(806\) | −1.38835 | − | 6.08275i | −0.0489024 | − | 0.214256i | ||||
\(807\) | 0.739088 | − | 0.685773i | 0.0260171 | − | 0.0241404i | ||||
\(808\) | −2.03419 | + | 0.306605i | −0.0715625 | + | 0.0107863i | ||||
\(809\) | −24.8548 | + | 3.74626i | −0.873849 | + | 0.131712i | −0.570628 | − | 0.821209i | \(-0.693300\pi\) |
−0.303221 | + | 0.952920i | \(0.598062\pi\) | |||||||
\(810\) | −26.9702 | + | 25.0247i | −0.947635 | + | 0.879277i | ||||
\(811\) | 3.78300 | + | 16.5744i | 0.132839 | + | 0.582006i | 0.996904 | + | 0.0786260i | \(0.0250533\pi\) |
−0.864065 | + | 0.503380i | \(0.832090\pi\) | |||||||
\(812\) | −0.0841005 | + | 0.111199i | −0.00295135 | + | 0.00390231i | ||||
\(813\) | −0.787668 | + | 3.45100i | −0.0276247 | + | 0.121032i | ||||
\(814\) | 21.8901 | + | 37.9148i | 0.767247 | + | 1.32891i | ||||
\(815\) | 20.7473 | − | 35.9353i | 0.726745 | − | 1.25876i | ||||
\(816\) | 1.61594 | + | 1.49937i | 0.0565691 | + | 0.0524884i | ||||
\(817\) | 9.31691 | + | 6.35216i | 0.325957 | + | 0.222234i | ||||
\(818\) | −24.6194 | − | 30.8718i | −0.860798 | − | 1.07941i | ||||
\(819\) | −2.99795 | − | 7.09734i | −0.104757 | − | 0.248001i | ||||
\(820\) | 1.82521 | − | 2.28874i | 0.0637391 | − | 0.0799263i | ||||
\(821\) | −43.8042 | + | 13.5118i | −1.52878 | + | 0.471565i | −0.941270 | − | 0.337655i | \(-0.890366\pi\) |
−0.587506 | + | 0.809220i | \(0.699890\pi\) | |||||||
\(822\) | 2.26683 | + | 5.77579i | 0.0790649 | + | 0.201454i | ||||
\(823\) | 1.04670 | − | 13.9673i | 0.0364857 | − | 0.486868i | −0.948791 | − | 0.315903i | \(-0.897692\pi\) |
0.985277 | − | 0.170965i | \(-0.0546885\pi\) | |||||||
\(824\) | −13.1519 | + | 33.5105i | −0.458168 | + | 1.16739i | ||||
\(825\) | −1.42962 | − | 0.688467i | −0.0497728 | − | 0.0239693i | ||||
\(826\) | 10.7817 | − | 29.6908i | 0.375144 | − | 1.03307i | ||||
\(827\) | −42.8053 | + | 20.6140i | −1.48849 | + | 0.716817i | −0.988780 | − | 0.149377i | \(-0.952273\pi\) |
−0.499706 | + | 0.866195i | \(0.666559\pi\) | |||||||
\(828\) | −0.787005 | − | 10.5019i | −0.0273503 | − | 0.364965i | ||||
\(829\) | 21.2749 | + | 6.56242i | 0.738906 | + | 0.227922i | 0.641287 | − | 0.767301i | \(-0.278401\pi\) |
0.0976195 | + | 0.995224i | \(0.468877\pi\) | |||||||
\(830\) | −15.9783 | + | 10.8938i | −0.554614 | + | 0.378130i | ||||
\(831\) | 5.78523 | + | 0.871983i | 0.200687 | + | 0.0302488i | ||||
\(832\) | −2.90932 | −0.100862 | ||||||||
\(833\) | −5.71322 | − | 8.81720i | −0.197951 | − | 0.305498i | ||||
\(834\) | −1.88569 | −0.0652960 | ||||||||
\(835\) | 63.0091 | + | 9.49710i | 2.18052 | + | 0.328661i | ||||
\(836\) | 5.08510 | − | 3.46696i | 0.175872 | − | 0.119907i | ||||
\(837\) | 6.26807 | + | 1.93344i | 0.216656 | + | 0.0668296i | ||||
\(838\) | −1.31525 | − | 17.5507i | −0.0454344 | − | 0.606280i | ||||
\(839\) | −32.7501 | + | 15.7716i | −1.13066 | + | 0.544497i | −0.903170 | − | 0.429283i | \(-0.858766\pi\) |
−0.227491 | + | 0.973780i | \(0.573052\pi\) | |||||||
\(840\) | 0.429483 | + | 4.26028i | 0.0148186 | + | 0.146994i | ||||
\(841\) | 26.1240 | + | 12.5807i | 0.900828 | + | 0.433816i | ||||
\(842\) | −23.4275 | + | 59.6923i | −0.807366 | + | 2.05713i | ||||
\(843\) | −0.337118 | + | 4.49853i | −0.0116110 | + | 0.154938i | ||||
\(844\) | −5.21713 | − | 13.2930i | −0.179581 | − | 0.457565i | ||||
\(845\) | 2.56576 | − | 0.791431i | 0.0882647 | − | 0.0272261i | ||||
\(846\) | 30.8120 | − | 38.6370i | 1.05934 | − | 1.32837i | ||||
\(847\) | 11.0278 | − | 7.94084i | 0.378921 | − | 0.272850i | ||||
\(848\) | −5.42121 | − | 6.79798i | −0.186165 | − | 0.233444i | ||||
\(849\) | 2.42862 | + | 1.65580i | 0.0833499 | + | 0.0568270i | ||||
\(850\) | −4.05422 | − | 3.76177i | −0.139059 | − | 0.129028i | ||||
\(851\) | 25.0872 | − | 43.4523i | 0.859977 | − | 1.48952i | ||||
\(852\) | 0.0413892 | + | 0.0716881i | 0.00141797 | + | 0.00245599i | ||||
\(853\) | 5.53527 | − | 24.2516i | 0.189524 | − | 0.830359i | −0.787344 | − | 0.616514i | \(-0.788544\pi\) |
0.976868 | − | 0.213845i | \(-0.0685986\pi\) | |||||||
\(854\) | 13.8498 | − | 0.355626i | 0.473930 | − | 0.0121693i | ||||
\(855\) | 5.65932 | + | 24.7951i | 0.193545 | + | 0.847975i | ||||
\(856\) | 13.6227 | − | 12.6400i | 0.465614 | − | 0.432026i | ||||
\(857\) | −49.4257 | + | 7.44973i | −1.68835 | + | 0.254478i | −0.921789 | − | 0.387693i | \(-0.873272\pi\) |
−0.766562 | + | 0.642171i | \(0.778034\pi\) | |||||||
\(858\) | 1.18433 | − | 0.178510i | 0.0404325 | − | 0.00609422i | ||||
\(859\) | −26.5303 | + | 24.6165i | −0.905202 | + | 0.839905i | −0.987648 | − | 0.156691i | \(-0.949917\pi\) |
0.0824457 | + | 0.996596i | \(0.473727\pi\) | |||||||
\(860\) | −1.61848 | − | 7.09104i | −0.0551898 | − | 0.241802i | ||||
\(861\) | −1.09449 | + | 0.0281035i | −0.0373000 | + | 0.000957764i | ||||
\(862\) | −4.15949 | + | 18.2239i | −0.141673 | + | 0.620708i | ||||
\(863\) | 18.2940 | + | 31.6862i | 0.622735 | + | 1.07861i | 0.988974 | + | 0.148088i | \(0.0473120\pi\) |
−0.366239 | + | 0.930521i | \(0.619355\pi\) | |||||||
\(864\) | −3.67711 | + | 6.36894i | −0.125098 | + | 0.216676i | ||||
\(865\) | 13.7981 | + | 12.8028i | 0.469150 | + | 0.435308i | ||||
\(866\) | 0.657013 | + | 0.447944i | 0.0223262 | + | 0.0152218i | ||||
\(867\) | −2.72695 | − | 3.41948i | −0.0926119 | − | 0.116132i | ||||
\(868\) | 6.27627 | − | 4.51936i | 0.213030 | − | 0.153397i | ||||
\(869\) | −10.9365 | + | 13.7139i | −0.370994 | + | 0.465212i | ||||
\(870\) | 0.0855844 | − | 0.0263993i | 0.00290158 | − | 0.000895020i | ||||
\(871\) | 0.363856 | + | 0.927091i | 0.0123288 | + | 0.0314133i | ||||
\(872\) | 2.48617 | − | 33.1757i | 0.0841924 | − | 1.12347i | ||||
\(873\) | 10.0443 | − | 25.5924i | 0.339948 | − | 0.866173i | ||||
\(874\) | −22.6206 | − | 10.8935i | −0.765155 | − | 0.368479i | ||||
\(875\) | 1.98838 | + | 19.7239i | 0.0672196 | + | 0.666788i | ||||
\(876\) | 0.829944 | − | 0.399680i | 0.0280412 | − | 0.0135039i | ||||
\(877\) | −3.85067 | − | 51.3836i | −0.130028 | − | 1.73510i | −0.556715 | − | 0.830703i | \(-0.687939\pi\) |
0.426687 | − | 0.904399i | \(-0.359680\pi\) | |||||||
\(878\) | −27.8943 | − | 8.60425i | −0.941387 | − | 0.290380i | ||||
\(879\) | 0.862634 | − | 0.588134i | 0.0290959 | − | 0.0198373i | ||||
\(880\) | 31.8389 | + | 4.79895i | 1.07329 | + | 0.161773i | ||||
\(881\) | −34.7598 | −1.17109 | −0.585544 | − | 0.810641i | \(-0.699119\pi\) | ||||
−0.585544 | + | 0.810641i | \(0.699119\pi\) | |||||||
\(882\) | 23.7012 | − | 24.3715i | 0.798061 | − | 0.820633i | ||||
\(883\) | −33.7958 | −1.13732 | −0.568660 | − | 0.822573i | \(-0.692538\pi\) | ||||
−0.568660 | + | 0.822573i | \(0.692538\pi\) | |||||||
\(884\) | 1.15969 | + | 0.174795i | 0.0390045 | + | 0.00587898i | ||||
\(885\) | −4.71012 | + | 3.21131i | −0.158329 | + | 0.107947i | ||||
\(886\) | 53.8290 | + | 16.6041i | 1.80842 | + | 0.557824i | ||||
\(887\) | 3.37902 | + | 45.0899i | 0.113456 | + | 1.51397i | 0.705873 | + | 0.708339i | \(0.250555\pi\) |
−0.592416 | + | 0.805632i | \(0.701826\pi\) | |||||||
\(888\) | −5.88714 | + | 2.83510i | −0.197559 | + | 0.0951396i | ||||
\(889\) | 6.17600 | − | 17.0075i | 0.207136 | − | 0.570413i | ||||
\(890\) | 55.8303 | + | 26.8865i | 1.87144 | + | 0.901236i | ||||
\(891\) | 7.26862 | − | 18.5201i | 0.243508 | − | 0.620448i | ||||
\(892\) | −0.797919 | + | 10.6475i | −0.0267163 | + | 0.356504i | ||||
\(893\) | −12.0922 | − | 30.8103i | −0.404649 | − | 1.03103i | ||||
\(894\) | −3.68713 | + | 1.13733i | −0.123316 | + | 0.0380380i | ||||
\(895\) | −26.5126 | + | 33.2457i | −0.886217 | + | 1.11128i | ||||
\(896\) | −13.6313 | − | 32.2707i | −0.455390 | − | 1.07809i | ||||
\(897\) | −0.855827 | − | 1.07317i | −0.0285752 | − | 0.0358322i | ||||
\(898\) | −49.3820 | − | 33.6681i | −1.64790 | − | 1.12352i | ||||
\(899\) | 0.184946 | + | 0.171605i | 0.00616829 | + | 0.00572334i | ||||
\(900\) | 2.51373 | − | 4.35391i | 0.0837910 | − | 0.145130i | ||||
\(901\) | −1.31763 | − | 2.28220i | −0.0438966 | − | 0.0760311i | ||||
\(902\) | −1.25388 | + | 5.49361i | −0.0417496 | + | 0.182917i | ||||
\(903\) | −1.64089 | + | 2.16960i | −0.0546054 | + | 0.0721999i | ||||
\(904\) | 4.85563 | + | 21.2739i | 0.161496 | + | 0.707560i | ||||
\(905\) | −5.28791 | + | 4.90646i | −0.175776 | + | 0.163096i | ||||
\(906\) | 1.36073 | − | 0.205096i | 0.0452071 | − | 0.00681387i | ||||
\(907\) | −28.3647 | + | 4.27529i | −0.941833 | + | 0.141959i | −0.601972 | − | 0.798517i | \(-0.705618\pi\) |
−0.339861 | + | 0.940476i | \(0.610380\pi\) | |||||||
\(908\) | 1.48955 | − | 1.38210i | 0.0494324 | − | 0.0458666i | ||||
\(909\) | −0.655904 | − | 2.87370i | −0.0217550 | − | 0.0953147i | ||||
\(910\) | 7.62220 | + | 9.07017i | 0.252673 | + | 0.300673i | ||||
\(911\) | −2.36366 | + | 10.3559i | −0.0783115 | + | 0.343105i | −0.998871 | − | 0.0474964i | \(-0.984876\pi\) |
0.920560 | + | 0.390601i | \(0.127733\pi\) | |||||||
\(912\) | 2.38863 | + | 4.13722i | 0.0790954 | + | 0.136997i | ||||
\(913\) | 5.22876 | − | 9.05648i | 0.173047 | − | 0.299726i | ||||
\(914\) | 32.0158 | + | 29.7063i | 1.05899 | + | 0.982599i | ||||
\(915\) | −2.06585 | − | 1.40847i | −0.0682950 | − | 0.0465627i | ||||
\(916\) | 7.97279 | + | 9.99756i | 0.263428 | + | 0.330329i | ||||
\(917\) | 38.6952 | + | 34.0980i | 1.27783 | + | 1.12601i | ||||
\(918\) | −2.73645 | + | 3.43140i | −0.0903164 | + | 0.113253i | ||||
\(919\) | 55.5707 | − | 17.1413i | 1.83311 | − | 0.565439i | 0.833185 | − | 0.552994i | \(-0.186515\pi\) |
0.999923 | − | 0.0124449i | \(-0.00396143\pi\) | |||||||
\(920\) | −9.22717 | − | 23.5105i | −0.304211 | − | 0.775117i | ||||
\(921\) | 0.657620 | − | 8.77533i | 0.0216693 | − | 0.289157i | ||||
\(922\) | −7.09284 | + | 18.0723i | −0.233590 | + | 0.595178i | ||||
\(923\) | −0.321830 | − | 0.154985i | −0.0105932 | − | 0.00510141i | ||||
\(924\) | 0.775103 | + | 1.26630i | 0.0254990 | + | 0.0416581i | ||||
\(925\) | 21.5803 | − | 10.3925i | 0.709557 | − | 0.341705i | ||||
\(926\) | 4.26643 | + | 56.9315i | 0.140204 | + | 1.87089i | ||||
\(927\) | −49.2894 | − | 15.2038i | −1.61888 | − | 0.499357i | ||||
\(928\) | −0.233713 | + | 0.159343i | −0.00767200 | + | 0.00523068i | ||||
\(929\) | −37.6340 | − | 5.67242i | −1.23473 | − | 0.186106i | −0.500942 | − | 0.865481i | \(-0.667013\pi\) |
−0.733791 | + | 0.679375i | \(0.762251\pi\) | |||||||
\(930\) | −4.96837 | −0.162919 | ||||||||
\(931\) | −6.19910 | − | 21.9088i | −0.203167 | − | 0.718031i | ||||
\(932\) | 1.55933 | 0.0510776 | ||||||||
\(933\) | 7.25445 | + | 1.09343i | 0.237500 | + | 0.0357974i | ||||
\(934\) | −24.4122 | + | 16.6440i | −0.798793 | + | 0.544608i | ||||
\(935\) | 9.32517 | + | 2.87643i | 0.304966 | + | 0.0940694i | ||||
\(936\) | −0.442274 | − | 5.90173i | −0.0144562 | − | 0.192904i | ||||
\(937\) | −49.0266 | + | 23.6100i | −1.60163 | + | 0.771304i | −0.999630 | − | 0.0271939i | \(-0.991343\pi\) |
−0.601998 | + | 0.798497i | \(0.705629\pi\) | |||||||
\(938\) | −3.14362 | + | 3.07073i | −0.102643 | + | 0.100263i | ||||
\(939\) | 0.264655 | + | 0.127451i | 0.00863669 | + | 0.00415921i | ||||
\(940\) | −7.79965 | + | 19.8732i | −0.254397 | + | 0.648192i | ||||
\(941\) | 2.10320 | − | 28.0652i | 0.0685622 | − | 0.914900i | −0.851809 | − | 0.523853i | \(-0.824494\pi\) |
0.920371 | − | 0.391047i | \(-0.127887\pi\) | |||||||
\(942\) | 1.47557 | + | 3.75969i | 0.0480766 | + | 0.122497i | ||||
\(943\) | 6.17096 | − | 1.90349i | 0.200954 | − | 0.0619862i | ||||
\(944\) | 22.1038 | − | 27.7173i | 0.719419 | − | 0.902122i | ||||
\(945\) | −12.2650 | + | 2.17200i | −0.398981 | + | 0.0706550i | ||||
\(946\) | 8.72908 | + | 10.9459i | 0.283807 | + | 0.355882i | ||||
\(947\) | 3.74322 | + | 2.55208i | 0.121638 | + | 0.0829316i | 0.622611 | − | 0.782531i | \(-0.286072\pi\) |
−0.500973 | + | 0.865463i | \(0.667024\pi\) | |||||||
\(948\) | 1.23054 | + | 1.14177i | 0.0399660 | + | 0.0370831i | ||||
\(949\) | −1.98751 | + | 3.44247i | −0.0645174 | + | 0.111747i | ||||
\(950\) | −5.99283 | − | 10.3799i | −0.194433 | − | 0.336768i | ||||
\(951\) | 0.761268 | − | 3.33533i | 0.0246858 | − | 0.108156i | ||||
\(952\) | −1.99724 | − | 7.81949i | −0.0647308 | − | 0.253431i | ||||
\(953\) | −12.8175 | − | 56.1571i | −0.415200 | − | 1.81911i | −0.558592 | − | 0.829442i | \(-0.688658\pi\) |
0.143393 | − | 0.989666i | \(-0.454199\pi\) | |||||||
\(954\) | 6.25073 | − | 5.79983i | 0.202375 | − | 0.187776i | ||||
\(955\) | −44.1080 | + | 6.64821i | −1.42730 | + | 0.215131i | ||||
\(956\) | −16.3849 | + | 2.46962i | −0.529925 | + | 0.0798734i | ||||
\(957\) | −0.0355034 | + | 0.0329424i | −0.00114766 | + | 0.00106488i | ||||
\(958\) | −11.0777 | − | 48.5347i | −0.357905 | − | 1.56808i | ||||
\(959\) | 6.55240 | − | 32.5365i | 0.211588 | − | 1.05066i | ||||
\(960\) | −0.515524 | + | 2.25866i | −0.0166385 | + | 0.0728979i | ||||
\(961\) | 8.50217 | + | 14.7262i | 0.274263 | + | 0.475038i | ||||
\(962\) | −9.03985 | + | 15.6575i | −0.291456 | + | 0.504817i | ||||
\(963\) | 19.5192 | + | 18.1112i | 0.628998 | + | 0.583625i | ||||
\(964\) | 17.1603 | + | 11.6997i | 0.552696 | + | 0.376822i | ||||
\(965\) | 37.9933 | + | 47.6421i | 1.22305 | + | 1.53365i | ||||
\(966\) | 2.89271 | − | 5.32126i | 0.0930714 | − | 0.171209i | ||||
\(967\) | 1.32564 | − | 1.66230i | 0.0426297 | − | 0.0534560i | −0.760060 | − | 0.649853i | \(-0.774830\pi\) |
0.802689 | + | 0.596397i | \(0.203402\pi\) | |||||||
\(968\) | 9.97495 | − | 3.07687i | 0.320607 | − | 0.0988942i | ||||
\(969\) | 0.528972 | + | 1.34780i | 0.0169930 | + | 0.0432976i | ||||
\(970\) | −3.15937 | + | 42.1589i | −0.101441 | + | 1.35364i | ||||
\(971\) | −8.13556 | + | 20.7291i | −0.261082 | + | 0.665227i | −0.999963 | − | 0.00860923i | \(-0.997260\pi\) |
0.738880 | + | 0.673837i | \(0.235355\pi\) | |||||||
\(972\) | −5.41856 | − | 2.60944i | −0.173800 | − | 0.0836979i | ||||
\(973\) | 8.47720 | + | 5.46629i | 0.271767 | + | 0.175241i | ||||
\(974\) | −33.8748 | + | 16.3132i | −1.08542 | + | 0.522710i | ||||
\(975\) | −0.0489687 | − | 0.653442i | −0.00156825 | − | 0.0209269i | ||||
\(976\) | 14.8583 | + | 4.58318i | 0.475603 | + | 0.146704i | ||||
\(977\) | 25.7164 | − | 17.5331i | 0.822739 | − | 0.560934i | −0.0771668 | − | 0.997018i | \(-0.524587\pi\) |
0.899906 | + | 0.436084i | \(0.143635\pi\) | |||||||
\(978\) | 7.55835 | + | 1.13924i | 0.241690 | + | 0.0364288i | ||||
\(979\) | −33.5092 | −1.07096 | ||||||||
\(980\) | −6.68075 | + | 13.0788i | −0.213409 | + | 0.417788i | ||||
\(981\) | 47.6689 | 1.52195 | ||||||||
\(982\) | 53.3171 | + | 8.03625i | 1.70142 | + | 0.256447i | ||||
\(983\) | 26.3678 | − | 17.9773i | 0.841002 | − | 0.573386i | −0.0644077 | − | 0.997924i | \(-0.520516\pi\) |
0.905410 | + | 0.424538i | \(0.139563\pi\) | |||||||
\(984\) | −0.803647 | − | 0.247892i | −0.0256193 | − | 0.00790252i | ||||
\(985\) | −0.138174 | − | 1.84381i | −0.00440260 | − | 0.0587487i | ||||
\(986\) | −0.152093 | + | 0.0732440i | −0.00484362 | + | 0.00233256i | ||||
\(987\) | 7.56682 | − | 2.54854i | 0.240855 | − | 0.0811208i | ||||
\(988\) | 2.28991 | + | 1.10276i | 0.0728516 | + | 0.0350835i | ||||
\(989\) | 5.86194 | − | 14.9360i | 0.186399 | − | 0.474937i | ||||
\(990\) | −2.35973 | + | 31.4884i | −0.0749970 | + | 1.00077i | ||||
\(991\) | 11.0480 | + | 28.1498i | 0.350950 | + | 0.894207i | 0.991946 | + | 0.126662i | \(0.0404264\pi\) |
−0.640996 | + | 0.767544i | \(0.721478\pi\) | |||||||
\(992\) | 14.9942 | − | 4.62510i | 0.476067 | − | 0.146847i | ||||
\(993\) | 1.99168 | − | 2.49748i | 0.0632039 | − | 0.0792552i | ||||
\(994\) | 0.0774020 | − | 1.57425i | 0.00245504 | − | 0.0499320i | ||||
\(995\) | −35.8396 | − | 44.9414i | −1.13619 | − | 1.42474i | ||||
\(996\) | −0.826889 | − | 0.563763i | −0.0262010 | − | 0.0178635i | ||||
\(997\) | 28.1711 | + | 26.1390i | 0.892189 | + | 0.827830i | 0.985825 | − | 0.167776i | \(-0.0536586\pi\) |
−0.0936362 | + | 0.995606i | \(0.529849\pi\) | |||||||
\(998\) | 4.81690 | − | 8.34312i | 0.152476 | − | 0.264097i | ||||
\(999\) | −9.50395 | − | 16.4613i | −0.300692 | − | 0.520813i |
(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 | 637.2.bl.a.235.7 | ✓ | 324 | |
49.44 | even | 21 | inner | 637.2.bl.a.534.7 | yes | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.a.235.7 | ✓ | 324 | 1.1 | even | 1 | trivial | |
637.2.bl.a.534.7 | yes | 324 | 49.44 | even | 21 | inner |