Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [125,2,Mod(6,125)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(125, base_ring=CyclotomicField(50))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("125.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 125 = 5^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 125.g (of order \(25\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.998130025266\) |
Analytic rank: | \(0\) |
Dimension: | \(220\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{25})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{25}]$ |
Embedding invariants
Embedding label | 6.5 | ||
Character | \(\chi\) | \(=\) | 125.6 |
Dual form | 125.2.g.a.21.5 |
$q$-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 \(\left(\mathbb{Z}/125\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{25}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.903097 | − | 0.231876i | −0.638586 | − | 0.163961i | −0.0845042 | − | 0.996423i | \(-0.526931\pi\) |
−0.554082 | + | 0.832462i | \(0.686931\pi\) | |||||||
\(3\) | −0.0620903 | + | 0.325489i | −0.0358479 | + | 0.187921i | −0.995707 | − | 0.0925616i | \(-0.970495\pi\) |
0.959859 | + | 0.280483i | \(0.0904945\pi\) | |||||||
\(4\) | −0.990795 | − | 0.544694i | −0.495398 | − | 0.272347i | ||||
\(5\) | −1.86049 | + | 1.24039i | −0.832038 | + | 0.554719i | ||||
\(6\) | 0.131547 | − | 0.279551i | 0.0537037 | − | 0.114126i | ||||
\(7\) | −3.30296 | + | 2.39974i | −1.24840 | + | 0.907017i | −0.998128 | − | 0.0611576i | \(-0.980521\pi\) |
−0.250274 | + | 0.968175i | \(0.580521\pi\) | |||||||
\(8\) | 2.12785 | + | 1.99818i | 0.752308 | + | 0.706464i | ||||
\(9\) | 2.68724 | + | 1.06395i | 0.895747 | + | 0.354651i | ||||
\(10\) | 1.96782 | − | 0.688789i | 0.622280 | − | 0.217814i | ||||
\(11\) | −5.98107 | − | 1.53568i | −1.80336 | − | 0.463024i | −0.810858 | − | 0.585243i | \(-0.800999\pi\) |
−0.992503 | + | 0.122219i | \(0.960999\pi\) | |||||||
\(12\) | 0.238811 | − | 0.288672i | 0.0689387 | − | 0.0833326i | ||||
\(13\) | 1.56079 | + | 0.617961i | 0.432886 | + | 0.171392i | 0.574454 | − | 0.818537i | \(-0.305214\pi\) |
−0.141568 | + | 0.989929i | \(0.545214\pi\) | |||||||
\(14\) | 3.53934 | − | 1.40132i | 0.945928 | − | 0.374519i | ||||
\(15\) | −0.288214 | − | 0.682586i | −0.0744166 | − | 0.176243i | ||||
\(16\) | −0.246660 | − | 0.388674i | −0.0616650 | − | 0.0971685i | ||||
\(17\) | −2.47098 | + | 1.35843i | −0.599300 | + | 0.329468i | −0.752363 | − | 0.658748i | \(-0.771086\pi\) |
0.153063 | + | 0.988216i | \(0.451086\pi\) | |||||||
\(18\) | −2.18014 | − | 1.58396i | −0.513863 | − | 0.373343i | ||||
\(19\) | −0.447990 | − | 2.34845i | −0.102776 | − | 0.538770i | −0.996015 | − | 0.0891879i | \(-0.971573\pi\) |
0.893239 | − | 0.449582i | \(-0.148427\pi\) | |||||||
\(20\) | 2.51900 | − | 0.215572i | 0.563266 | − | 0.0482033i | ||||
\(21\) | −0.576007 | − | 1.22408i | −0.125695 | − | 0.267116i | ||||
\(22\) | 5.04540 | + | 2.77373i | 1.07568 | + | 0.591362i | ||||
\(23\) | 0.224270 | + | 3.56467i | 0.0467635 | + | 0.743285i | 0.949632 | + | 0.313368i | \(0.101457\pi\) |
−0.902868 | + | 0.429917i | \(0.858543\pi\) | |||||||
\(24\) | −0.782505 | + | 0.568523i | −0.159728 | + | 0.116049i | ||||
\(25\) | 1.92287 | − | 4.61547i | 0.384574 | − | 0.923094i | ||||
\(26\) | −1.26626 | − | 0.919989i | −0.248333 | − | 0.180425i | ||||
\(27\) | −1.04581 | + | 1.64793i | −0.201266 | + | 0.317144i | ||||
\(28\) | 4.57968 | − | 0.578549i | 0.865479 | − | 0.109335i | ||||
\(29\) | −2.50206 | + | 0.316084i | −0.464621 | + | 0.0586953i | −0.354159 | − | 0.935185i | \(-0.615233\pi\) |
−0.110462 | + | 0.993880i | \(0.535233\pi\) | |||||||
\(30\) | 0.102010 | + | 0.683271i | 0.0186244 | + | 0.124748i | ||||
\(31\) | 8.14699 | − | 4.47885i | 1.46324 | − | 0.804425i | 0.466457 | − | 0.884544i | \(-0.345530\pi\) |
0.996785 | + | 0.0801191i | \(0.0255301\pi\) | |||||||
\(32\) | −1.67140 | − | 5.14404i | −0.295464 | − | 0.909346i | ||||
\(33\) | 0.871213 | − | 1.85142i | 0.151659 | − | 0.322291i | ||||
\(34\) | 2.54652 | − | 0.653835i | 0.436725 | − | 0.112132i | ||||
\(35\) | 3.16852 | − | 8.56166i | 0.535578 | − | 1.44719i | ||||
\(36\) | −2.08298 | − | 2.51789i | −0.347163 | − | 0.419648i | ||||
\(37\) | 0.256504 | + | 0.404186i | 0.0421690 | + | 0.0664478i | 0.864759 | − | 0.502188i | \(-0.167471\pi\) |
−0.822589 | + | 0.568636i | \(0.807471\pi\) | |||||||
\(38\) | −0.139970 | + | 2.22475i | −0.0227061 | + | 0.360903i | ||||
\(39\) | −0.298050 | + | 0.469651i | −0.0477261 | + | 0.0752043i | ||||
\(40\) | −6.43737 | − | 1.07824i | −1.01784 | − | 0.170485i | ||||
\(41\) | −0.485173 | + | 7.71160i | −0.0757713 | + | 1.20435i | 0.758005 | + | 0.652248i | \(0.226174\pi\) |
−0.833777 | + | 0.552102i | \(0.813826\pi\) | |||||||
\(42\) | 0.236356 | + | 1.23902i | 0.0364706 | + | 0.191186i | ||||
\(43\) | −1.94475 | + | 5.98533i | −0.296572 | + | 0.912754i | 0.686117 | + | 0.727491i | \(0.259314\pi\) |
−0.982689 | + | 0.185263i | \(0.940686\pi\) | |||||||
\(44\) | 5.08954 | + | 4.77940i | 0.767277 | + | 0.720521i | ||||
\(45\) | −6.31931 | + | 1.35375i | −0.942027 | + | 0.201805i | ||||
\(46\) | 0.624023 | − | 3.27124i | 0.0920072 | − | 0.482319i | ||||
\(47\) | −3.70121 | + | 3.47567i | −0.539877 | + | 0.506978i | −0.905822 | − | 0.423658i | \(-0.860746\pi\) |
0.365945 | + | 0.930636i | \(0.380746\pi\) | |||||||
\(48\) | 0.141824 | − | 0.0561522i | 0.0204706 | − | 0.00810487i | ||||
\(49\) | 2.98768 | − | 9.19512i | 0.426811 | − | 1.31359i | ||||
\(50\) | −2.80675 | + | 3.72235i | −0.396935 | + | 0.526420i | ||||
\(51\) | −0.288730 | − | 0.888621i | −0.0404303 | − | 0.124432i | ||||
\(52\) | −1.20983 | − | 1.46243i | −0.167773 | − | 0.202802i | ||||
\(53\) | 2.68573 | + | 5.70747i | 0.368914 | + | 0.783981i | 0.999966 | + | 0.00824102i | \(0.00262323\pi\) |
−0.631053 | + | 0.775740i | \(0.717377\pi\) | |||||||
\(54\) | 1.32658 | − | 1.24574i | 0.180525 | − | 0.169524i | ||||
\(55\) | 13.0326 | − | 4.56174i | 1.75731 | − | 0.615105i | ||||
\(56\) | −11.8233 | − | 1.49363i | −1.57996 | − | 0.199595i | ||||
\(57\) | 0.792208 | 0.104931 | ||||||||
\(58\) | 2.33290 | + | 0.294713i | 0.306324 | + | 0.0386978i | ||||
\(59\) | −2.17390 | + | 2.62780i | −0.283018 | + | 0.342110i | −0.892795 | − | 0.450463i | \(-0.851259\pi\) |
0.609777 | + | 0.792573i | \(0.291259\pi\) | |||||||
\(60\) | −0.0862393 | + | 0.833291i | −0.0111334 | + | 0.107577i | ||||
\(61\) | 0.476848 | + | 7.57928i | 0.0610542 | + | 0.970428i | 0.902665 | + | 0.430344i | \(0.141608\pi\) |
−0.841611 | + | 0.540084i | \(0.818392\pi\) | |||||||
\(62\) | −8.39606 | + | 2.15574i | −1.06630 | + | 0.273780i | ||||
\(63\) | −11.4291 | + | 2.93449i | −1.43993 | + | 0.369711i | ||||
\(64\) | 0.374467 | + | 5.95198i | 0.0468083 | + | 0.743997i | ||||
\(65\) | −3.67035 | + | 0.786277i | −0.455252 | + | 0.0975257i | ||||
\(66\) | −1.21609 | + | 1.47000i | −0.149690 | + | 0.180944i | ||||
\(67\) | −4.68512 | − | 0.591868i | −0.572378 | − | 0.0723081i | −0.166184 | − | 0.986095i | \(-0.553144\pi\) |
−0.406194 | + | 0.913787i | \(0.633144\pi\) | |||||||
\(68\) | 3.18816 | 0.386621 | ||||||||
\(69\) | −1.17418 | − | 0.148334i | −0.141355 | − | 0.0178573i | ||||
\(70\) | −4.84673 | + | 6.99731i | −0.579295 | + | 0.836339i | ||||
\(71\) | −4.72298 | + | 4.43517i | −0.560515 | + | 0.526358i | −0.912192 | − | 0.409763i | \(-0.865611\pi\) |
0.351677 | + | 0.936121i | \(0.385611\pi\) | |||||||
\(72\) | 3.59207 | + | 7.63354i | 0.423329 | + | 0.899621i | ||||
\(73\) | −4.33711 | − | 5.24267i | −0.507621 | − | 0.613608i | 0.452987 | − | 0.891517i | \(-0.350359\pi\) |
−0.960607 | + | 0.277909i | \(0.910359\pi\) | |||||||
\(74\) | −0.137927 | − | 0.424497i | −0.0160337 | − | 0.0493467i | ||||
\(75\) | 1.38289 | + | 0.912448i | 0.159683 | + | 0.105360i | ||||
\(76\) | −0.835318 | + | 2.57085i | −0.0958176 | + | 0.294896i | ||||
\(77\) | 23.4405 | − | 9.28074i | 2.67129 | − | 1.05764i | ||||
\(78\) | 0.378068 | − | 0.355030i | 0.0428078 | − | 0.0401992i | ||||
\(79\) | −2.35405 | + | 12.3404i | −0.264851 | + | 1.38840i | 0.562539 | + | 0.826771i | \(0.309825\pi\) |
−0.827390 | + | 0.561628i | \(0.810175\pi\) | |||||||
\(80\) | 0.941017 | + | 0.417171i | 0.105209 | + | 0.0466411i | ||||
\(81\) | 5.84915 | + | 5.49272i | 0.649906 | + | 0.610302i | ||||
\(82\) | 2.22629 | − | 6.85183i | 0.245853 | − | 0.756658i | ||||
\(83\) | −3.37053 | − | 17.6689i | −0.369963 | − | 1.93942i | −0.341680 | − | 0.939816i | \(-0.610996\pi\) |
−0.0282838 | − | 0.999600i | \(-0.509004\pi\) | |||||||
\(84\) | −0.0960429 | + | 1.52656i | −0.0104791 | + | 0.166561i | ||||
\(85\) | 2.91225 | − | 5.59232i | 0.315878 | − | 0.606573i | ||||
\(86\) | 3.14415 | − | 4.95439i | 0.339043 | − | 0.534246i | ||||
\(87\) | 0.0524720 | − | 0.834019i | 0.00562559 | − | 0.0894162i | ||||
\(88\) | −9.65825 | − | 15.2190i | −1.02957 | − | 1.62235i | ||||
\(89\) | 0.523867 | + | 0.633247i | 0.0555298 | + | 0.0671240i | 0.797547 | − | 0.603257i | \(-0.206131\pi\) |
−0.742017 | + | 0.670381i | \(0.766131\pi\) | |||||||
\(90\) | 6.02085 | + | 0.242732i | 0.634654 | + | 0.0255862i | ||||
\(91\) | −6.63818 | + | 1.70440i | −0.695871 | + | 0.178669i | ||||
\(92\) | 1.71945 | − | 3.65401i | 0.179265 | − | 0.380957i | ||||
\(93\) | 0.951965 | + | 2.92985i | 0.0987142 | + | 0.303811i | ||||
\(94\) | 4.14848 | − | 2.28064i | 0.427883 | − | 0.235230i | ||||
\(95\) | 3.74647 | + | 3.81358i | 0.384380 | + | 0.391265i | ||||
\(96\) | 1.77810 | − | 0.224627i | 0.181477 | − | 0.0229259i | ||||
\(97\) | −1.30570 | + | 0.164948i | −0.132573 | + | 0.0167479i | −0.191340 | − | 0.981524i | \(-0.561283\pi\) |
0.0587665 | + | 0.998272i | \(0.481283\pi\) | |||||||
\(98\) | −4.83029 | + | 7.61132i | −0.487933 | + | 0.768859i | ||||
\(99\) | −14.4387 | − | 10.4903i | −1.45114 | − | 1.05432i | ||||
\(100\) | −4.41919 | + | 3.52561i | −0.441919 | + | 0.352561i | ||||
\(101\) | 7.06765 | − | 5.13495i | 0.703258 | − | 0.510947i | −0.177734 | − | 0.984079i | \(-0.556877\pi\) |
0.880992 | + | 0.473132i | \(0.156877\pi\) | |||||||
\(102\) | 0.0547018 | + | 0.869461i | 0.00541629 | + | 0.0860894i | ||||
\(103\) | 9.81218 | + | 5.39429i | 0.966823 | + | 0.531516i | 0.885232 | − | 0.465150i | \(-0.154000\pi\) |
0.0815915 | + | 0.996666i | \(0.474000\pi\) | |||||||
\(104\) | 2.08633 | + | 4.43368i | 0.204581 | + | 0.434758i | ||||
\(105\) | 2.58999 | + | 1.56292i | 0.252757 | + | 0.152525i | ||||
\(106\) | −1.10205 | − | 5.77716i | −0.107041 | − | 0.561127i | ||||
\(107\) | −2.45085 | − | 1.78065i | −0.236933 | − | 0.172142i | 0.462983 | − | 0.886367i | \(-0.346779\pi\) |
−0.699916 | + | 0.714225i | \(0.746779\pi\) | |||||||
\(108\) | 1.93380 | − | 1.06312i | 0.186080 | − | 0.102298i | ||||
\(109\) | 1.09503 | + | 1.72550i | 0.104885 | + | 0.165273i | 0.892717 | − | 0.450618i | \(-0.148796\pi\) |
−0.787832 | + | 0.615891i | \(0.788796\pi\) | |||||||
\(110\) | −12.8274 | + | 1.09775i | −1.22305 | + | 0.104666i | ||||
\(111\) | −0.147484 | + | 0.0583932i | −0.0139986 | + | 0.00554244i | ||||
\(112\) | 1.74743 | + | 0.691855i | 0.165116 | + | 0.0653742i | ||||
\(113\) | 8.16533 | − | 9.87019i | 0.768130 | − | 0.928509i | −0.230881 | − | 0.972982i | \(-0.574161\pi\) |
0.999011 | + | 0.0444728i | \(0.0141608\pi\) | |||||||
\(114\) | −0.715441 | − | 0.183694i | −0.0670072 | − | 0.0172045i | ||||
\(115\) | −4.83883 | − | 6.35386i | −0.451223 | − | 0.592500i | ||||
\(116\) | 2.65120 | + | 1.04968i | 0.246158 | + | 0.0974607i | ||||
\(117\) | 3.53674 | + | 3.32122i | 0.326972 | + | 0.307047i | ||||
\(118\) | 2.57257 | − | 1.86908i | 0.236824 | − | 0.172063i | ||||
\(119\) | 4.90166 | − | 10.4166i | 0.449334 | − | 0.954884i | ||||
\(120\) | 0.750655 | − | 2.02834i | 0.0685251 | − | 0.185162i | ||||
\(121\) | 23.7755 | + | 13.0707i | 2.16141 | + | 1.18825i | ||||
\(122\) | 1.32681 | − | 6.95540i | 0.120124 | − | 0.629712i | ||||
\(123\) | −2.47992 | − | 0.636734i | −0.223607 | − | 0.0574124i | ||||
\(124\) | −10.5116 | −0.943970 | ||||||||
\(125\) | 2.14750 | + | 10.9722i | 0.192078 | + | 0.981380i | ||||
\(126\) | 11.0020 | 0.980136 | ||||||||
\(127\) | −4.50764 | − | 1.15736i | −0.399988 | − | 0.102700i | 0.0433367 | − | 0.999061i | \(-0.486201\pi\) |
−0.443325 | + | 0.896361i | \(0.646201\pi\) | |||||||
\(128\) | −0.985060 | + | 5.16387i | −0.0870679 | + | 0.456426i | ||||
\(129\) | −1.82741 | − | 1.00463i | −0.160894 | − | 0.0884524i | ||||
\(130\) | 3.49701 | + | 0.140982i | 0.306708 | + | 0.0123650i | ||||
\(131\) | 5.42110 | − | 11.5204i | 0.473643 | − | 1.00654i | −0.515129 | − | 0.857113i | \(-0.672256\pi\) |
0.988772 | − | 0.149431i | \(-0.0477440\pi\) | |||||||
\(132\) | −1.87165 | + | 1.35983i | −0.162906 | + | 0.118358i | ||||
\(133\) | 7.11536 | + | 6.68176i | 0.616980 | + | 0.579382i | ||||
\(134\) | 4.09387 | + | 1.62088i | 0.353657 | + | 0.140023i | ||||
\(135\) | −0.0983560 | − | 4.36317i | −0.00846513 | − | 0.375522i | ||||
\(136\) | −7.97226 | − | 2.04693i | −0.683616 | − | 0.175523i | ||||
\(137\) | −8.40815 | + | 10.1637i | −0.718357 | + | 0.868344i | −0.995720 | − | 0.0924211i | \(-0.970539\pi\) |
0.277363 | + | 0.960765i | \(0.410539\pi\) | |||||||
\(138\) | 1.02601 | + | 0.406225i | 0.0873396 | + | 0.0345802i | ||||
\(139\) | 0.502527 | − | 0.198964i | 0.0426238 | − | 0.0168759i | −0.346716 | − | 0.937970i | \(-0.612703\pi\) |
0.389340 | + | 0.921094i | \(0.372703\pi\) | |||||||
\(140\) | −7.80285 | + | 6.75698i | −0.659461 | + | 0.571069i | ||||
\(141\) | −0.901481 | − | 1.42051i | −0.0759184 | − | 0.119628i | ||||
\(142\) | 5.29372 | − | 2.91025i | 0.444239 | − | 0.244223i | ||||
\(143\) | −8.38622 | − | 6.09294i | −0.701291 | − | 0.509518i | ||||
\(144\) | −0.249304 | − | 1.30690i | −0.0207753 | − | 0.108908i | ||||
\(145\) | 4.26300 | − | 3.69160i | 0.354023 | − | 0.306571i | ||||
\(146\) | 2.70119 | + | 5.74031i | 0.223552 | + | 0.475072i | ||||
\(147\) | 2.80740 | + | 1.54338i | 0.231551 | + | 0.127296i | ||||
\(148\) | −0.0339854 | − | 0.540182i | −0.00279358 | − | 0.0444027i | ||||
\(149\) | −2.22445 | + | 1.61616i | −0.182234 | + | 0.132401i | −0.675163 | − | 0.737669i | \(-0.735927\pi\) |
0.492928 | + | 0.870070i | \(0.335927\pi\) | |||||||
\(150\) | −1.03731 | − | 1.14469i | −0.0846962 | − | 0.0934635i | ||||
\(151\) | 4.40252 | + | 3.19862i | 0.358272 | + | 0.260300i | 0.752331 | − | 0.658785i | \(-0.228929\pi\) |
−0.394059 | + | 0.919085i | \(0.628929\pi\) | |||||||
\(152\) | 3.73937 | − | 5.89230i | 0.303303 | − | 0.477929i | ||||
\(153\) | −8.08542 | + | 1.02143i | −0.653667 | + | 0.0825774i | ||||
\(154\) | −23.3210 | + | 2.94613i | −1.87926 | + | 0.237406i | ||||
\(155\) | −9.60191 | + | 18.4383i | −0.771244 | + | 1.48100i | ||||
\(156\) | 0.551122 | − | 0.302982i | 0.0441251 | − | 0.0242580i | ||||
\(157\) | −4.89318 | − | 15.0597i | −0.390518 | − | 1.20189i | −0.932397 | − | 0.361436i | \(-0.882287\pi\) |
0.541879 | − | 0.840457i | \(-0.317713\pi\) | |||||||
\(158\) | 4.98737 | − | 10.5987i | 0.396774 | − | 0.843187i | ||||
\(159\) | −2.02448 | + | 0.519797i | −0.160551 | + | 0.0412226i | ||||
\(160\) | 9.49023 | + | 7.49726i | 0.750269 | + | 0.592710i | ||||
\(161\) | −9.29504 | − | 11.2358i | −0.732552 | − | 0.885503i | ||||
\(162\) | −4.00872 | − | 6.31674i | −0.314955 | − | 0.496290i | ||||
\(163\) | −0.276989 | + | 4.40261i | −0.0216955 | + | 0.344839i | 0.972173 | + | 0.234266i | \(0.0752687\pi\) |
−0.993868 | + | 0.110573i | \(0.964731\pi\) | |||||||
\(164\) | 4.68117 | − | 7.37635i | 0.365538 | − | 0.575996i | ||||
\(165\) | 0.675598 | + | 4.52520i | 0.0525952 | + | 0.352286i | ||||
\(166\) | −1.05308 | + | 16.7383i | −0.0817352 | + | 1.29914i | ||||
\(167\) | 1.96185 | + | 10.2844i | 0.151813 | + | 0.795829i | 0.973989 | + | 0.226596i | \(0.0727598\pi\) |
−0.822176 | + | 0.569233i | \(0.807240\pi\) | |||||||
\(168\) | 1.22028 | − | 3.75562i | 0.0941463 | − | 0.289752i | ||||
\(169\) | −7.42240 | − | 6.97009i | −0.570954 | − | 0.536161i | ||||
\(170\) | −3.92677 | + | 4.37513i | −0.301170 | + | 0.335557i | ||||
\(171\) | 1.29478 | − | 6.78748i | 0.0990144 | − | 0.519052i | ||||
\(172\) | 5.18702 | − | 4.87094i | 0.395507 | − | 0.371406i | ||||
\(173\) | −4.07101 | + | 1.61183i | −0.309513 | + | 0.122545i | −0.517746 | − | 0.855534i | \(-0.673229\pi\) |
0.208233 | + | 0.978079i | \(0.433229\pi\) | |||||||
\(174\) | −0.240776 | + | 0.741033i | −0.0182532 | + | 0.0561776i | ||||
\(175\) | 4.72478 | + | 19.8591i | 0.357160 | + | 1.50121i | ||||
\(176\) | 0.878413 | + | 2.70348i | 0.0662129 | + | 0.203782i | ||||
\(177\) | −0.720340 | − | 0.870741i | −0.0541441 | − | 0.0654489i | ||||
\(178\) | −0.326268 | − | 0.693356i | −0.0244549 | − | 0.0519692i | ||||
\(179\) | −4.43446 | + | 4.16423i | −0.331447 | + | 0.311249i | −0.832346 | − | 0.554256i | \(-0.813003\pi\) |
0.500899 | + | 0.865506i | \(0.333003\pi\) | |||||||
\(180\) | 6.99852 | + | 2.10081i | 0.521639 | + | 0.156585i | ||||
\(181\) | 1.76787 | + | 0.223334i | 0.131405 | + | 0.0166003i | 0.190761 | − | 0.981637i | \(-0.438905\pi\) |
−0.0593557 | + | 0.998237i | \(0.518905\pi\) | |||||||
\(182\) | 6.39013 | 0.473668 | ||||||||
\(183\) | −2.49658 | − | 0.315391i | −0.184553 | − | 0.0233144i | ||||
\(184\) | −6.64565 | + | 8.03321i | −0.489924 | + | 0.592216i | ||||
\(185\) | −0.978573 | − | 0.433820i | −0.0719461 | − | 0.0318951i | ||||
\(186\) | −0.180356 | − | 2.86667i | −0.0132243 | − | 0.210195i | ||||
\(187\) | 16.8652 | − | 4.33025i | 1.23331 | − | 0.316659i | ||||
\(188\) | 5.56032 | − | 1.42765i | 0.405528 | − | 0.104122i | ||||
\(189\) | −0.500343 | − | 7.95272i | −0.0363946 | − | 0.578475i | ||||
\(190\) | −2.49915 | − | 4.31275i | −0.181307 | − | 0.312880i | ||||
\(191\) | 7.88201 | − | 9.52772i | 0.570322 | − | 0.689401i | −0.403948 | − | 0.914782i | \(-0.632362\pi\) |
0.974271 | + | 0.225380i | \(0.0723625\pi\) | |||||||
\(192\) | −1.96055 | − | 0.247675i | −0.141491 | − | 0.0178744i | ||||
\(193\) | −21.2332 | −1.52840 | −0.764200 | − | 0.644980i | \(-0.776866\pi\) | ||||
−0.764200 | + | 0.644980i | \(0.776866\pi\) | |||||||
\(194\) | 1.21742 | + | 0.153796i | 0.0874056 | + | 0.0110419i | ||||
\(195\) | −0.0280309 | − | 1.24348i | −0.00200733 | − | 0.0890474i | ||||
\(196\) | −7.96870 | + | 7.48311i | −0.569193 | + | 0.534508i | ||||
\(197\) | 5.04173 | + | 10.7142i | 0.359208 | + | 0.763357i | 0.999990 | − | 0.00436610i | \(-0.00138978\pi\) |
−0.640782 | + | 0.767723i | \(0.721390\pi\) | |||||||
\(198\) | 10.6071 | + | 12.8218i | 0.753813 | + | 0.911203i | ||||
\(199\) | 1.46691 | + | 4.51468i | 0.103986 | + | 0.320037i | 0.989491 | − | 0.144593i | \(-0.0461873\pi\) |
−0.885505 | + | 0.464630i | \(0.846187\pi\) | |||||||
\(200\) | 13.3141 | − | 5.97878i | 0.941451 | − | 0.422764i | ||||
\(201\) | 0.483547 | − | 1.48820i | 0.0341067 | − | 0.104970i | ||||
\(202\) | −7.57345 | + | 2.99854i | −0.532866 | + | 0.210977i | ||||
\(203\) | 7.50569 | − | 7.04831i | 0.526796 | − | 0.494695i | ||||
\(204\) | −0.197954 | + | 1.03771i | −0.0138595 | + | 0.0726543i | ||||
\(205\) | −8.66273 | − | 14.9492i | −0.605031 | − | 1.04410i | ||||
\(206\) | −7.61055 | − | 7.14678i | −0.530252 | − | 0.497940i | ||||
\(207\) | −3.18998 | + | 9.81774i | −0.221719 | + | 0.682380i | ||||
\(208\) | −0.144800 | − | 0.759066i | −0.0100400 | − | 0.0526317i | ||||
\(209\) | −0.926996 | + | 14.7342i | −0.0641217 | + | 1.01918i | ||||
\(210\) | −1.97661 | − | 2.01202i | −0.136399 | − | 0.138843i | ||||
\(211\) | −5.39127 | + | 8.49528i | −0.371150 | + | 0.584839i | −0.977649 | − | 0.210246i | \(-0.932574\pi\) |
0.606498 | + | 0.795085i | \(0.292574\pi\) | |||||||
\(212\) | 0.447816 | − | 7.11783i | 0.0307561 | − | 0.488855i | ||||
\(213\) | −1.15035 | − | 1.81266i | −0.0788206 | − | 0.124201i | ||||
\(214\) | 1.80047 | + | 2.17639i | 0.123077 | + | 0.148775i | ||||
\(215\) | −3.80594 | − | 13.5479i | −0.259563 | − | 0.923960i | ||||
\(216\) | −5.51819 | + | 1.41683i | −0.375465 | + | 0.0964031i | ||||
\(217\) | −16.1611 | + | 34.3441i | −1.09709 | + | 2.33143i | ||||
\(218\) | −0.588821 | − | 1.81220i | −0.0398800 | − | 0.122738i | ||||
\(219\) | 1.97572 | − | 1.08616i | 0.133507 | − | 0.0733961i | ||||
\(220\) | −15.3974 | − | 2.57902i | −1.03809 | − | 0.173878i | ||||
\(221\) | −4.69614 | + | 0.593260i | −0.315896 | + | 0.0399070i | ||||
\(222\) | 0.146733 | − | 0.0185367i | 0.00984806 | − | 0.00124410i | ||||
\(223\) | −5.91391 | + | 9.31883i | −0.396025 | + | 0.624035i | −0.982573 | − | 0.185879i | \(-0.940487\pi\) |
0.586548 | + | 0.809915i | \(0.300487\pi\) | |||||||
\(224\) | 17.8649 | + | 12.9796i | 1.19365 | + | 0.867238i | ||||
\(225\) | 10.0779 | − | 10.3570i | 0.671858 | − | 0.690470i | ||||
\(226\) | −9.66275 | + | 7.02040i | −0.642756 | + | 0.466990i | ||||
\(227\) | −0.633880 | − | 10.0752i | −0.0420721 | − | 0.668717i | −0.961388 | − | 0.275196i | \(-0.911257\pi\) |
0.919316 | − | 0.393520i | \(-0.128743\pi\) | |||||||
\(228\) | −0.784916 | − | 0.431511i | −0.0519823 | − | 0.0285775i | ||||
\(229\) | −9.84627 | − | 20.9244i | −0.650660 | − | 1.38272i | −0.909052 | − | 0.416682i | \(-0.863193\pi\) |
0.258392 | − | 0.966040i | \(-0.416807\pi\) | |||||||
\(230\) | 2.89663 | + | 6.86016i | 0.190998 | + | 0.452345i | ||||
\(231\) | 1.56535 | + | 8.20586i | 0.102993 | + | 0.539906i | ||||
\(232\) | −5.95560 | − | 4.32700i | −0.391004 | − | 0.284081i | ||||
\(233\) | 14.4337 | − | 7.93497i | 0.945581 | − | 0.519837i | 0.0671688 | − | 0.997742i | \(-0.478603\pi\) |
0.878412 | + | 0.477904i | \(0.158603\pi\) | |||||||
\(234\) | −2.42391 | − | 3.81947i | −0.158456 | − | 0.249687i | ||||
\(235\) | 2.57489 | − | 11.0574i | 0.167968 | − | 0.721305i | ||||
\(236\) | 3.58524 | − | 1.41950i | 0.233379 | − | 0.0924013i | ||||
\(237\) | −3.87048 | − | 1.53243i | −0.251415 | − | 0.0995422i | ||||
\(238\) | −6.84202 | + | 8.27058i | −0.443502 | + | 0.536102i | ||||
\(239\) | 12.2857 | + | 3.15444i | 0.794698 | + | 0.204044i | 0.624149 | − | 0.781305i | \(-0.285446\pi\) |
0.170549 | + | 0.985349i | \(0.445446\pi\) | |||||||
\(240\) | −0.194212 | + | 0.280388i | −0.0125364 | + | 0.0180990i | ||||
\(241\) | 12.9735 | + | 5.13657i | 0.835696 | + | 0.330876i | 0.746704 | − | 0.665157i | \(-0.231635\pi\) |
0.0889926 | + | 0.996032i | \(0.471635\pi\) | |||||||
\(242\) | −18.4408 | − | 17.3171i | −1.18542 | − | 1.11319i | ||||
\(243\) | −6.88803 | + | 5.00445i | −0.441867 | + | 0.321035i | ||||
\(244\) | 3.65593 | − | 7.76925i | 0.234047 | − | 0.497376i | ||||
\(245\) | 5.84698 | + | 20.8133i | 0.373550 | + | 1.32972i | ||||
\(246\) | 2.09196 | + | 1.15007i | 0.133379 | + | 0.0733255i | ||||
\(247\) | 0.752029 | − | 3.94227i | 0.0478505 | − | 0.250841i | ||||
\(248\) | 26.2851 | + | 6.74887i | 1.66911 | + | 0.428554i | ||||
\(249\) | 5.96031 | 0.377720 | ||||||||
\(250\) | 0.604781 | − | 10.4069i | 0.0382497 | − | 0.658189i | ||||
\(251\) | 6.38750 | 0.403175 | 0.201588 | − | 0.979470i | \(-0.435390\pi\) | ||||
0.201588 | + | 0.979470i | \(0.435390\pi\) | |||||||
\(252\) | 12.9223 | + | 3.31787i | 0.814026 | + | 0.209006i | ||||
\(253\) | 4.13281 | − | 21.6649i | 0.259827 | − | 1.36206i | ||||
\(254\) | 3.80247 | + | 2.09043i | 0.238588 | + | 0.131165i | ||||
\(255\) | 1.63942 | + | 1.29513i | 0.102664 | + | 0.0811045i | ||||
\(256\) | 7.16546 | − | 15.2274i | 0.447841 | − | 0.951711i | ||||
\(257\) | 10.5434 | − | 7.66022i | 0.657679 | − | 0.477831i | −0.208200 | − | 0.978086i | \(-0.566760\pi\) |
0.865878 | + | 0.500255i | \(0.166760\pi\) | |||||||
\(258\) | 1.41738 | + | 1.33101i | 0.0882421 | + | 0.0828648i | ||||
\(259\) | −1.81717 | − | 0.719467i | −0.112913 | − | 0.0447055i | ||||
\(260\) | 4.06485 | + | 1.22018i | 0.252091 | + | 0.0756725i | ||||
\(261\) | −7.05994 | − | 1.81268i | −0.436999 | − | 0.112202i | ||||
\(262\) | −7.56708 | + | 9.14703i | −0.467496 | + | 0.565106i | ||||
\(263\) | −1.46948 | − | 0.581810i | −0.0906123 | − | 0.0358759i | 0.322381 | − | 0.946610i | \(-0.395517\pi\) |
−0.412993 | + | 0.910734i | \(0.635517\pi\) | |||||||
\(264\) | 5.55329 | − | 2.19870i | 0.341781 | − | 0.135321i | ||||
\(265\) | −12.0763 | − | 7.28735i | −0.741839 | − | 0.447659i | ||||
\(266\) | −4.87652 | − | 7.68416i | −0.298999 | − | 0.471146i | ||||
\(267\) | −0.238642 | + | 0.131194i | −0.0146046 | + | 0.00802897i | ||||
\(268\) | 4.31960 | + | 3.13837i | 0.263862 | + | 0.191707i | ||||
\(269\) | 0.0471816 | + | 0.247335i | 0.00287672 | + | 0.0150803i | 0.983697 | − | 0.179836i | \(-0.0575566\pi\) |
−0.980820 | + | 0.194916i | \(0.937557\pi\) | |||||||
\(270\) | −0.922890 | + | 3.96318i | −0.0561653 | + | 0.241191i | ||||
\(271\) | −4.48654 | − | 9.53439i | −0.272538 | − | 0.579173i | 0.720966 | − | 0.692971i | \(-0.243698\pi\) |
−0.993504 | + | 0.113798i | \(0.963698\pi\) | |||||||
\(272\) | 1.13748 | + | 0.625334i | 0.0689698 | + | 0.0379164i | ||||
\(273\) | −0.142595 | − | 2.26648i | −0.00863024 | − | 0.137174i | ||||
\(274\) | 9.95010 | − | 7.22917i | 0.601107 | − | 0.436730i | ||||
\(275\) | −18.5887 | + | 24.6526i | −1.12094 | + | 1.48661i | ||||
\(276\) | 1.08258 | + | 0.786540i | 0.0651636 | + | 0.0473441i | ||||
\(277\) | −2.71286 | + | 4.27478i | −0.163000 | + | 0.256847i | −0.916004 | − | 0.401169i | \(-0.868604\pi\) |
0.753004 | + | 0.658016i | \(0.228604\pi\) | |||||||
\(278\) | −0.499966 | + | 0.0631603i | −0.0299859 | + | 0.00378811i | ||||
\(279\) | 26.6582 | − | 3.36772i | 1.59599 | − | 0.201620i | ||||
\(280\) | 23.8499 | − | 11.8866i | 1.42530 | − | 0.710362i | ||||
\(281\) | −24.7342 | + | 13.5978i | −1.47552 | + | 0.811174i | −0.997733 | − | 0.0673014i | \(-0.978561\pi\) |
−0.477787 | + | 0.878475i | \(0.658561\pi\) | |||||||
\(282\) | 0.484744 | + | 1.49189i | 0.0288661 | + | 0.0888407i | ||||
\(283\) | −14.0443 | + | 29.8457i | −0.834849 | + | 1.77415i | −0.239059 | + | 0.971005i | \(0.576839\pi\) |
−0.595790 | + | 0.803140i | \(0.703161\pi\) | |||||||
\(284\) | 7.09532 | − | 1.82177i | 0.421030 | − | 0.108102i | ||||
\(285\) | −1.47390 | + | 0.982647i | −0.0873062 | + | 0.0582070i | ||||
\(286\) | 6.16076 | + | 7.44708i | 0.364294 | + | 0.440355i | ||||
\(287\) | −16.9034 | − | 26.6354i | −0.997773 | − | 1.57224i | ||||
\(288\) | 0.981567 | − | 15.6016i | 0.0578394 | − | 0.919331i | ||||
\(289\) | −4.84866 | + | 7.64027i | −0.285216 | + | 0.449428i | ||||
\(290\) | −4.70590 | + | 2.34539i | −0.276340 | + | 0.137726i | ||||
\(291\) | 0.0273824 | − | 0.435231i | 0.00160519 | − | 0.0255137i | ||||
\(292\) | 1.44154 | + | 7.55681i | 0.0843597 | + | 0.442229i | ||||
\(293\) | −1.82930 | + | 5.63000i | −0.106869 | + | 0.328908i | −0.990164 | − | 0.139908i | \(-0.955319\pi\) |
0.883296 | + | 0.468816i | \(0.155319\pi\) | |||||||
\(294\) | −2.17748 | − | 2.04479i | −0.126993 | − | 0.119255i | ||||
\(295\) | 0.785039 | − | 7.58548i | 0.0457067 | − | 0.441644i | ||||
\(296\) | −0.261835 | + | 1.37259i | −0.0152189 | + | 0.0797801i | ||||
\(297\) | 8.78575 | − | 8.25036i | 0.509801 | − | 0.478735i | ||||
\(298\) | 2.38365 | − | 0.943752i | 0.138081 | − | 0.0546701i | ||||
\(299\) | −1.85279 | + | 5.70229i | −0.107149 | + | 0.329772i | ||||
\(300\) | −0.873158 | − | 1.65730i | −0.0504118 | − | 0.0956844i | ||||
\(301\) | −7.93981 | − | 24.4362i | −0.457643 | − | 1.40848i | ||||
\(302\) | −3.23422 | − | 3.90950i | −0.186109 | − | 0.224967i | ||||
\(303\) | 1.23254 | + | 2.61927i | 0.0708074 | + | 0.150473i | ||||
\(304\) | −0.802279 | + | 0.753390i | −0.0460138 | + | 0.0432099i | ||||
\(305\) | −10.2884 | − | 13.5097i | −0.589114 | − | 0.773565i | ||||
\(306\) | 7.53876 | + | 0.952367i | 0.430963 | + | 0.0544432i | ||||
\(307\) | 14.7323 | 0.840819 | 0.420409 | − | 0.907335i | \(-0.361886\pi\) | ||||
0.420409 | + | 0.907335i | \(0.361886\pi\) | |||||||
\(308\) | −28.2799 | − | 3.57258i | −1.61140 | − | 0.203567i | ||||
\(309\) | −2.36502 | + | 2.85882i | −0.134542 | + | 0.162633i | ||||
\(310\) | 12.9469 | − | 14.4251i | 0.735332 | − | 0.819292i | ||||
\(311\) | 0.562061 | + | 8.93371i | 0.0318716 | + | 0.506584i | 0.981286 | + | 0.192557i | \(0.0616782\pi\) |
−0.949414 | + | 0.314027i | \(0.898322\pi\) | |||||||
\(312\) | −1.57265 | + | 0.403789i | −0.0890339 | + | 0.0228600i | ||||
\(313\) | 14.2739 | − | 3.66490i | 0.806806 | − | 0.207152i | 0.177309 | − | 0.984155i | \(-0.443261\pi\) |
0.629497 | + | 0.777003i | \(0.283261\pi\) | |||||||
\(314\) | 0.927045 | + | 14.7350i | 0.0523162 | + | 0.831542i | ||||
\(315\) | 17.6238 | − | 19.6361i | 0.992989 | − | 1.10637i | ||||
\(316\) | 9.05410 | − | 10.9445i | 0.509333 | − | 0.615678i | ||||
\(317\) | 27.6720 | + | 3.49578i | 1.55421 | + | 0.196343i | 0.855022 | − | 0.518592i | \(-0.173544\pi\) |
0.699191 | + | 0.714935i | \(0.253544\pi\) | |||||||
\(318\) | 1.94883 | 0.109285 | ||||||||
\(319\) | 15.4504 | + | 1.95184i | 0.865057 | + | 0.109282i | ||||
\(320\) | −8.07946 | − | 10.6091i | −0.451656 | − | 0.593068i | ||||
\(321\) | 0.731755 | − | 0.687164i | 0.0408426 | − | 0.0383537i | ||||
\(322\) | 5.78902 | + | 12.3023i | 0.322609 | + | 0.685580i | ||||
\(323\) | 4.29717 | + | 5.19439i | 0.239101 | + | 0.289024i | ||||
\(324\) | −2.80346 | − | 8.62816i | −0.155748 | − | 0.479342i | ||||
\(325\) | 5.85338 | − | 6.01553i | 0.324687 | − | 0.333682i | ||||
\(326\) | 1.27101 | − | 3.91176i | 0.0703947 | − | 0.216652i | ||||
\(327\) | −0.629621 | + | 0.249285i | −0.0348181 | + | 0.0137855i | ||||
\(328\) | −16.4416 | + | 15.4397i | −0.907834 | + | 0.852513i | ||||
\(329\) | 3.88425 | − | 20.3619i | 0.214146 | − | 1.12259i | ||||
\(330\) | 0.439154 | − | 4.24335i | 0.0241746 | − | 0.233589i | ||||
\(331\) | −6.06326 | − | 5.69378i | −0.333267 | − | 0.312958i | 0.499789 | − | 0.866147i | \(-0.333411\pi\) |
−0.833056 | + | 0.553189i | \(0.813411\pi\) | |||||||
\(332\) | −6.28466 | + | 19.3422i | −0.344915 | + | 1.06154i | ||||
\(333\) | 0.259254 | + | 1.35905i | 0.0142070 | + | 0.0744757i | ||||
\(334\) | 0.612959 | − | 9.74270i | 0.0335396 | − | 0.533097i | ||||
\(335\) | 9.45077 | − | 4.71020i | 0.516351 | − | 0.257346i | ||||
\(336\) | −0.333689 | + | 0.525810i | −0.0182042 | + | 0.0286853i | ||||
\(337\) | −1.56699 | + | 24.9066i | −0.0853594 | + | 1.35675i | 0.689348 | + | 0.724430i | \(0.257897\pi\) |
−0.774708 | + | 0.632319i | \(0.782103\pi\) | |||||||
\(338\) | 5.08695 | + | 8.01575i | 0.276694 | + | 0.435999i | ||||
\(339\) | 2.70565 | + | 3.27057i | 0.146951 | + | 0.177633i | ||||
\(340\) | −5.93155 | + | 3.95456i | −0.321684 | + | 0.214466i | ||||
\(341\) | −55.6058 | + | 14.2771i | −3.01122 | + | 0.773151i | ||||
\(342\) | −2.74317 | + | 5.82953i | −0.148333 | + | 0.315225i | ||||
\(343\) | 3.36641 | + | 10.3607i | 0.181769 | + | 0.559427i | ||||
\(344\) | −16.0979 | + | 8.84991i | −0.867942 | + | 0.477155i | ||||
\(345\) | 2.36855 | − | 1.18047i | 0.127519 | − | 0.0635544i | ||||
\(346\) | 4.05026 | − | 0.511667i | 0.217744 | − | 0.0275074i | ||||
\(347\) | −22.9039 | + | 2.89344i | −1.22955 | + | 0.155328i | −0.713143 | − | 0.701018i | \(-0.752729\pi\) |
−0.516402 | + | 0.856346i | \(0.672729\pi\) | |||||||
\(348\) | −0.506274 | + | 0.797760i | −0.0271391 | + | 0.0427644i | ||||
\(349\) | −6.00930 | − | 4.36601i | −0.321670 | − | 0.233707i | 0.415218 | − | 0.909722i | \(-0.363705\pi\) |
−0.736888 | + | 0.676015i | \(0.763705\pi\) | |||||||
\(350\) | 0.337916 | − | 19.0303i | 0.0180624 | − | 1.01721i | ||||
\(351\) | −2.65065 | + | 1.92581i | −0.141481 | + | 0.102792i | ||||
\(352\) | 2.09717 | + | 33.3336i | 0.111780 | + | 1.77669i | ||||
\(353\) | 7.05918 | + | 3.88082i | 0.375722 | + | 0.206555i | 0.658414 | − | 0.752656i | \(-0.271227\pi\) |
−0.282692 | + | 0.959211i | \(0.591227\pi\) | |||||||
\(354\) | 0.448633 | + | 0.953394i | 0.0238446 | + | 0.0506723i | ||||
\(355\) | 3.28573 | − | 14.1099i | 0.174388 | − | 0.748878i | ||||
\(356\) | −0.174119 | − | 0.912765i | −0.00922831 | − | 0.0483765i | ||||
\(357\) | 3.08613 | + | 2.24220i | 0.163335 | + | 0.118670i | ||||
\(358\) | 4.97033 | − | 2.73246i | 0.262690 | − | 0.144415i | ||||
\(359\) | 12.3113 | + | 19.3995i | 0.649765 | + | 1.02387i | 0.996310 | + | 0.0858326i | \(0.0273550\pi\) |
−0.346544 | + | 0.938034i | \(0.612645\pi\) | |||||||
\(360\) | −16.1516 | − | 9.74658i | −0.851263 | − | 0.513690i | ||||
\(361\) | 12.3513 | − | 4.89021i | 0.650066 | − | 0.257379i | ||||
\(362\) | −1.54477 | − | 0.611619i | −0.0811915 | − | 0.0321460i | ||||
\(363\) | −5.73060 | + | 6.92710i | −0.300778 | + | 0.363579i | ||||
\(364\) | 7.50546 | + | 1.92707i | 0.393393 | + | 0.101006i | ||||
\(365\) | 14.5721 | + | 4.37424i | 0.762740 | + | 0.228958i | ||||
\(366\) | 2.18152 | + | 0.863726i | 0.114030 | + | 0.0451477i | ||||
\(367\) | −12.0890 | − | 11.3523i | −0.631040 | − | 0.592586i | 0.301582 | − | 0.953440i | \(-0.402485\pi\) |
−0.932622 | + | 0.360854i | \(0.882485\pi\) | |||||||
\(368\) | 1.33018 | − | 0.966429i | 0.0693402 | − | 0.0503786i | ||||
\(369\) | −9.50857 | + | 20.2067i | −0.494996 | + | 1.05192i | ||||
\(370\) | 0.783154 | + | 0.618689i | 0.0407142 | + | 0.0321641i | ||||
\(371\) | −22.5673 | − | 12.4065i | −1.17164 | − | 0.644113i | ||||
\(372\) | 0.652669 | − | 3.42141i | 0.0338393 | − | 0.177392i | ||||
\(373\) | −15.5065 | − | 3.98138i | −0.802895 | − | 0.206148i | −0.175124 | − | 0.984546i | \(-0.556033\pi\) |
−0.627771 | + | 0.778398i | \(0.716033\pi\) | |||||||
\(374\) | −16.2350 | −0.839492 | ||||||||
\(375\) | −3.70465 | + | 0.0177217i | −0.191307 | + | 0.000915147i | ||||
\(376\) | −14.8206 | −0.764316 | ||||||||
\(377\) | −4.10052 | − | 1.05284i | −0.211188 | − | 0.0542238i | ||||
\(378\) | −1.39219 | + | 7.29810i | −0.0716064 | + | 0.375374i | ||||
\(379\) | 32.0491 | + | 17.6191i | 1.64625 | + | 0.905034i | 0.988398 | + | 0.151888i | \(0.0485353\pi\) |
0.657853 | + | 0.753146i | \(0.271465\pi\) | |||||||
\(380\) | −1.63475 | − | 5.81916i | −0.0838607 | − | 0.298517i | ||||
\(381\) | 0.656590 | − | 1.39532i | 0.0336381 | − | 0.0714846i | ||||
\(382\) | −9.32747 | + | 6.77681i | −0.477235 | + | 0.346732i | ||||
\(383\) | 7.21665 | + | 6.77689i | 0.368754 | + | 0.346283i | 0.846666 | − | 0.532125i | \(-0.178606\pi\) |
−0.477912 | + | 0.878408i | \(0.658606\pi\) | |||||||
\(384\) | −1.61962 | − | 0.641252i | −0.0826508 | − | 0.0327238i | ||||
\(385\) | −32.0991 | + | 46.3421i | −1.63592 | + | 2.36181i | ||||
\(386\) | 19.1756 | + | 4.92347i | 0.976015 | + | 0.250598i | ||||
\(387\) | −11.5941 | + | 14.0149i | −0.589363 | + | 0.712417i | ||||
\(388\) | 1.38352 | + | 0.547776i | 0.0702378 | + | 0.0278091i | ||||
\(389\) | 0.681310 | − | 0.269750i | 0.0345438 | − | 0.0136768i | −0.350789 | − | 0.936454i | \(-0.614087\pi\) |
0.385333 | + | 0.922778i | \(0.374087\pi\) | |||||||
\(390\) | −0.263018 | + | 1.12948i | −0.0133185 | + | 0.0571936i | ||||
\(391\) | −5.39652 | − | 8.50355i | −0.272914 | − | 0.430043i | ||||
\(392\) | 24.7309 | − | 13.5959i | 1.24910 | − | 0.686697i | ||||
\(393\) | 3.41317 | + | 2.47981i | 0.172172 | + | 0.125090i | ||||
\(394\) | −2.06880 | − | 10.8450i | −0.104225 | − | 0.546365i | ||||
\(395\) | −10.9272 | − | 25.8791i | −0.549805 | − | 1.30212i | ||||
\(396\) | 8.59177 | + | 18.2584i | 0.431753 | + | 0.917521i | ||||
\(397\) | −19.0227 | − | 10.4578i | −0.954721 | − | 0.524862i | −0.0733600 | − | 0.997306i | \(-0.523372\pi\) |
−0.881361 | + | 0.472443i | \(0.843372\pi\) | |||||||
\(398\) | −0.277915 | − | 4.41733i | −0.0139306 | − | 0.221421i | ||||
\(399\) | −2.61663 | + | 1.90110i | −0.130996 | + | 0.0951738i | ||||
\(400\) | −2.26821 | + | 0.391083i | −0.113410 | + | 0.0195542i | ||||
\(401\) | 25.6920 | + | 18.6663i | 1.28300 | + | 0.932152i | 0.999639 | − | 0.0268626i | \(-0.00855166\pi\) |
0.283358 | + | 0.959014i | \(0.408552\pi\) | |||||||
\(402\) | −0.781768 | + | 1.23187i | −0.0389911 | + | 0.0614401i | ||||
\(403\) | 15.4835 | − | 1.95602i | 0.771289 | − | 0.0974364i | ||||
\(404\) | −9.79958 | + | 1.23797i | −0.487547 | + | 0.0615915i | ||||
\(405\) | −17.6954 | − | 2.96394i | −0.879292 | − | 0.147279i | ||||
\(406\) | −8.41271 | + | 4.62492i | −0.417516 | + | 0.229531i | ||||
\(407\) | −0.913471 | − | 2.81137i | −0.0452791 | − | 0.139355i | ||||
\(408\) | 1.16125 | − | 2.46779i | 0.0574906 | − | 0.122174i | ||||
\(409\) | −19.4632 | + | 4.99730i | −0.962393 | + | 0.247101i | −0.697025 | − | 0.717047i | \(-0.745493\pi\) |
−0.265368 | + | 0.964147i | \(0.585493\pi\) | |||||||
\(410\) | 4.35693 | + | 15.5093i | 0.215173 | + | 0.765947i | ||||
\(411\) | −2.78611 | − | 3.36783i | −0.137429 | − | 0.166123i | ||||
\(412\) | −6.78362 | − | 10.6893i | −0.334205 | − | 0.526623i | ||||
\(413\) | 0.874282 | − | 13.8963i | 0.0430206 | − | 0.683793i | ||||
\(414\) | 5.15736 | − | 8.12669i | 0.253470 | − | 0.399405i | ||||
\(415\) | 28.1872 | + | 28.6921i | 1.38365 | + | 1.40844i | ||||
\(416\) | 0.570109 | − | 9.06163i | 0.0279519 | − | 0.444283i | ||||
\(417\) | 0.0335586 | + | 0.175921i | 0.00164337 | + | 0.00861487i | ||||
\(418\) | 4.25367 | − | 13.0915i | 0.208054 | − | 0.640324i | ||||
\(419\) | −6.05387 | − | 5.68496i | −0.295751 | − | 0.277728i | 0.522439 | − | 0.852677i | \(-0.325022\pi\) |
−0.818190 | + | 0.574948i | \(0.805022\pi\) | |||||||
\(420\) | −1.71484 | − | 2.95928i | −0.0836756 | − | 0.144398i | ||||
\(421\) | −4.00752 | + | 21.0082i | −0.195315 | + | 1.02388i | 0.740679 | + | 0.671859i | \(0.234504\pi\) |
−0.935994 | + | 0.352016i | \(0.885496\pi\) | |||||||
\(422\) | 6.83869 | − | 6.42196i | 0.332902 | − | 0.312616i | ||||
\(423\) | −13.6440 | + | 5.40204i | −0.663394 | + | 0.262656i | ||||
\(424\) | −5.68974 | + | 17.5112i | −0.276318 | + | 0.850420i | ||||
\(425\) | 1.51844 | + | 14.0168i | 0.0736549 | + | 0.679915i | ||||
\(426\) | 0.618564 | + | 1.90375i | 0.0299695 | + | 0.0922368i | ||||
\(427\) | −19.7633 | − | 23.8898i | −0.956415 | − | 1.15611i | ||||
\(428\) | 1.45838 | + | 3.09922i | 0.0704936 | + | 0.149807i | ||||
\(429\) | 2.50389 | − | 2.35131i | 0.120889 | − | 0.113522i | ||||
\(430\) | 0.295701 | + | 13.1176i | 0.0142600 | + | 0.632586i | ||||
\(431\) | 4.50434 | + | 0.569031i | 0.216967 | + | 0.0274092i | 0.233065 | − | 0.972461i | \(-0.425125\pi\) |
−0.0160984 | + | 0.999870i | \(0.505125\pi\) | |||||||
\(432\) | 0.898467 | 0.0432275 | ||||||||
\(433\) | 20.8587 | + | 2.63506i | 1.00240 | + | 0.126633i | 0.609366 | − | 0.792889i | \(-0.291424\pi\) |
0.393038 | + | 0.919522i | \(0.371424\pi\) | |||||||
\(434\) | 22.5586 | − | 27.2687i | 1.08285 | − | 1.30894i | ||||
\(435\) | 0.936884 | + | 1.61677i | 0.0449201 | + | 0.0775183i | ||||
\(436\) | −0.145086 | − | 2.30607i | −0.00694835 | − | 0.110441i | ||||
\(437\) | 8.27095 | − | 2.12362i | 0.395653 | − | 0.101587i | ||||
\(438\) | −2.03613 | + | 0.522788i | −0.0972898 | + | 0.0249798i | ||||
\(439\) | −2.01157 | − | 31.9730i | −0.0960071 | − | 1.52599i | −0.691351 | − | 0.722519i | \(-0.742984\pi\) |
0.595344 | − | 0.803471i | \(-0.297016\pi\) | |||||||
\(440\) | 36.8466 | + | 16.3348i | 1.75659 | + | 0.778731i | ||||
\(441\) | 17.8118 | − | 21.5308i | 0.848181 | − | 1.02527i | ||||
\(442\) | 4.37863 | + | 0.553150i | 0.208270 | + | 0.0263107i | ||||
\(443\) | 8.33622 | 0.396066 | 0.198033 | − | 0.980195i | \(-0.436545\pi\) | ||||
0.198033 | + | 0.980195i | \(0.436545\pi\) | |||||||
\(444\) | 0.177933 | + | 0.0224782i | 0.00844434 | + | 0.00106677i | ||||
\(445\) | −1.76012 | − | 0.528352i | −0.0834379 | − | 0.0250463i | ||||
\(446\) | 7.50165 | − | 7.04452i | 0.355213 | − | 0.333568i | ||||
\(447\) | −0.387925 | − | 0.824382i | −0.0183482 | − | 0.0389919i | ||||
\(448\) | −15.5201 | − | 18.7605i | −0.733254 | − | 0.886352i | ||||
\(449\) | −7.01672 | − | 21.5952i | −0.331139 | − | 1.01914i | −0.968593 | − | 0.248653i | \(-0.920012\pi\) |
0.637453 | − | 0.770489i | \(-0.279988\pi\) | |||||||
\(450\) | −11.5028 | + | 7.01660i | −0.542249 | + | 0.330766i | ||||
\(451\) | 14.7444 | − | 45.3786i | 0.694286 | − | 2.13679i | ||||
\(452\) | −13.4664 | + | 5.33173i | −0.633406 | + | 0.250783i | ||||
\(453\) | −1.31447 | + | 1.23437i | −0.0617591 | + | 0.0579957i | ||||
\(454\) | −1.76375 | + | 9.24590i | −0.0827768 | + | 0.433931i | ||||
\(455\) | 10.2362 | − | 11.4049i | 0.479880 | − | 0.534672i | ||||
\(456\) | 1.68570 | + | 1.58298i | 0.0789401 | + | 0.0741297i | ||||
\(457\) | −0.224236 | + | 0.690128i | −0.0104893 | + | 0.0322828i | −0.956164 | − | 0.292831i | \(-0.905403\pi\) |
0.945675 | + | 0.325114i | \(0.105403\pi\) | |||||||
\(458\) | 4.04028 | + | 21.1799i | 0.188790 | + | 0.989670i | ||||
\(459\) | 0.345569 | − | 5.49266i | 0.0161298 | − | 0.256375i | ||||
\(460\) | 1.33338 | + | 8.93105i | 0.0621691 | + | 0.416412i | ||||
\(461\) | −4.96592 | + | 7.82504i | −0.231286 | + | 0.364449i | −0.940073 | − | 0.340975i | \(-0.889243\pi\) |
0.708786 | + | 0.705423i | \(0.249243\pi\) | |||||||
\(462\) | 0.489077 | − | 7.77366i | 0.0227539 | − | 0.361663i | ||||
\(463\) | 14.0915 | + | 22.2047i | 0.654890 | + | 1.03194i | 0.995774 | + | 0.0918359i | \(0.0292735\pi\) |
−0.340884 | + | 0.940105i | \(0.610726\pi\) | |||||||
\(464\) | 0.740012 | + | 0.894521i | 0.0343542 | + | 0.0415271i | ||||
\(465\) | −5.40528 | − | 4.27015i | −0.250664 | − | 0.198024i | ||||
\(466\) | −14.8749 | + | 3.81923i | −0.689068 | + | 0.176923i | ||||
\(467\) | 5.81641 | − | 12.3605i | 0.269151 | − | 0.571976i | −0.723866 | − | 0.689940i | \(-0.757637\pi\) |
0.993018 | + | 0.117964i | \(0.0376368\pi\) | |||||||
\(468\) | −1.69514 | − | 5.21709i | −0.0783577 | − | 0.241160i | ||||
\(469\) | 16.8951 | − | 9.28815i | 0.780143 | − | 0.428887i | ||||
\(470\) | −4.88932 | + | 9.38885i | −0.225528 | + | 0.433075i | ||||
\(471\) | 5.20557 | − | 0.657617i | 0.239860 | − | 0.0303014i | ||||
\(472\) | −9.87655 | + | 1.24770i | −0.454605 | + | 0.0574300i | ||||
\(473\) | 20.8232 | − | 32.8122i | 0.957453 | − | 1.50870i | ||||
\(474\) | 3.14009 | + | 2.28141i | 0.144229 | + | 0.104789i | ||||
\(475\) | −11.7006 | − | 2.44807i | −0.536861 | − | 0.112325i | ||||
\(476\) | −10.5304 | + | 7.65077i | −0.482659 | + | 0.350672i | ||||
\(477\) | 1.14472 | + | 18.1948i | 0.0524132 | + | 0.833085i | ||||
\(478\) | −10.3638 | − | 5.69753i | −0.474028 | − | 0.260599i | ||||
\(479\) | 3.75425 | + | 7.97819i | 0.171536 | + | 0.364533i | 0.972047 | − | 0.234785i | \(-0.0754386\pi\) |
−0.800511 | + | 0.599318i | \(0.795439\pi\) | |||||||
\(480\) | −3.02952 | + | 2.62346i | −0.138278 | + | 0.119744i | ||||
\(481\) | 0.150578 | + | 0.789360i | 0.00686579 | + | 0.0359917i | ||||
\(482\) | −10.5253 | − | 7.64707i | −0.479414 | − | 0.348314i | ||||
\(483\) | 4.23425 | − | 2.32780i | 0.192665 | − | 0.105918i | ||||
\(484\) | −16.4371 | − | 25.9008i | −0.747143 | − | 1.17731i | ||||
\(485\) | 2.22464 | − | 1.92646i | 0.101016 | − | 0.0874759i | ||||
\(486\) | 7.38097 | − | 2.92233i | 0.334808 | − | 0.132560i | ||||
\(487\) | 35.8826 | + | 14.2069i | 1.62600 | + | 0.643778i | 0.991613 | − | 0.129240i | \(-0.0412538\pi\) |
0.634384 | + | 0.773018i | \(0.281254\pi\) | |||||||
\(488\) | −14.1301 | + | 17.0804i | −0.639641 | + | 0.773194i | ||||
\(489\) | −1.41580 | − | 0.363517i | −0.0640248 | − | 0.0164388i | ||||
\(490\) | −0.454278 | − | 20.1522i | −0.0205222 | − | 0.910386i | ||||
\(491\) | 18.8271 | + | 7.45419i | 0.849657 | + | 0.336403i | 0.752279 | − | 0.658844i | \(-0.228954\pi\) |
0.0973780 | + | 0.995247i | \(0.468954\pi\) | |||||||
\(492\) | 2.11026 | + | 1.98167i | 0.0951380 | + | 0.0893405i | ||||
\(493\) | 5.75316 | − | 4.17991i | 0.259109 | − | 0.188254i | ||||
\(494\) | −1.59327 | + | 3.38588i | −0.0716848 | + | 0.152338i | ||||
\(495\) | 39.8752 | + | 1.60758i | 1.79226 | + | 0.0722551i | ||||
\(496\) | −3.75035 | − | 2.06177i | −0.168396 | − | 0.0925763i | ||||
\(497\) | 4.95655 | − | 25.9832i | 0.222332 | − | 1.16550i | ||||
\(498\) | −5.38274 | − | 1.38205i | −0.241207 | − | 0.0619313i | ||||
\(499\) | 31.3155 | 1.40187 | 0.700936 | − | 0.713224i | \(-0.252766\pi\) | ||||
0.700936 | + | 0.713224i | \(0.252766\pi\) | |||||||
\(500\) | 3.84874 | − | 12.0409i | 0.172121 | − | 0.538485i | ||||
\(501\) | −3.46926 | −0.154995 | ||||||||
\(502\) | −5.76853 | − | 1.48111i | −0.257462 | − | 0.0661051i | ||||
\(503\) | 1.14355 | − | 5.99471i | 0.0509885 | − | 0.267291i | −0.947659 | − | 0.319284i | \(-0.896557\pi\) |
0.998647 | + | 0.0519934i | \(0.0165575\pi\) | |||||||
\(504\) | −30.1830 | − | 16.5932i | −1.34446 | − | 0.739122i | ||||
\(505\) | −6.77998 | + | 18.3202i | −0.301705 | + | 0.815237i | ||||
\(506\) | −8.75590 | + | 18.6072i | −0.389247 | + | 0.827193i | ||||
\(507\) | 2.72955 | − | 1.98313i | 0.121223 | − | 0.0880740i | ||||
\(508\) | 3.83574 | + | 3.60200i | 0.170183 | + | 0.159813i | ||||
\(509\) | −6.80668 | − | 2.69495i | −0.301701 | − | 0.119452i | 0.212397 | − | 0.977183i | \(-0.431873\pi\) |
−0.514097 | + | 0.857732i | \(0.671873\pi\) | |||||||
\(510\) | −1.18024 | − | 1.54977i | −0.0522620 | − | 0.0686251i | ||||
\(511\) | 26.9064 | + | 6.90838i | 1.19027 | + | 0.305609i | ||||
\(512\) | −3.30012 | + | 3.98915i | −0.145846 | + | 0.176297i | ||||
\(513\) | 4.33859 | + | 1.71777i | 0.191553 | + | 0.0758413i | ||||
\(514\) | −11.2979 | + | 4.47317i | −0.498330 | + | 0.197303i | ||||
\(515\) | −24.9465 | + | 2.13488i | −1.09928 | + | 0.0940742i | ||||
\(516\) | 1.26337 | + | 1.99076i | 0.0556169 | + | 0.0876382i | ||||
\(517\) | 27.4747 | − | 15.1043i | 1.20834 | − | 0.664288i | ||||
\(518\) | 1.47425 | + | 1.07111i | 0.0647749 | + | 0.0470617i | ||||
\(519\) | −0.271862 | − | 1.42515i | −0.0119334 | − | 0.0625571i | ||||
\(520\) | −9.38109 | − | 5.66096i | −0.411388 | − | 0.248250i | ||||
\(521\) | −11.7973 | − | 25.0706i | −0.516851 | − | 1.09836i | −0.977530 | − | 0.210797i | \(-0.932394\pi\) |
0.460679 | − | 0.887567i | \(-0.347606\pi\) | |||||||
\(522\) | 5.95550 | + | 3.27406i | 0.260665 | + | 0.143302i | ||||
\(523\) | −0.409560 | − | 6.50977i | −0.0179088 | − | 0.284652i | −0.996781 | − | 0.0801774i | \(-0.974451\pi\) |
0.978872 | − | 0.204475i | \(-0.0655487\pi\) | |||||||
\(524\) | −11.6463 | + | 8.46153i | −0.508771 | + | 0.369644i | ||||
\(525\) | −6.75728 | + | 0.304804i | −0.294912 | + | 0.0133028i | ||||
\(526\) | 1.19218 | + | 0.866169i | 0.0519815 | + | 0.0377668i | ||||
\(527\) | −14.0468 | + | 22.1342i | −0.611889 | + | 0.964183i | ||||
\(528\) | −0.934493 | + | 0.118054i | −0.0406686 | + | 0.00513764i | ||||
\(529\) | 10.1621 | − | 1.28377i | 0.441830 | − | 0.0558161i | ||||
\(530\) | 9.21628 | + | 9.38139i | 0.400330 | + | 0.407501i | ||||
\(531\) | −8.63765 | + | 4.74859i | −0.374842 | + | 0.206071i | ||||
\(532\) | −3.41034 | − | 10.4960i | −0.147857 | − | 0.455057i | ||||
\(533\) | −5.52273 | + | 11.7364i | −0.239216 | + | 0.508360i | ||||
\(534\) | 0.245938 | − | 0.0631461i | 0.0106428 | − | 0.00273260i | ||||
\(535\) | 6.76849 | + | 0.272873i | 0.292627 | + | 0.0117973i | ||||
\(536\) | −8.78656 | − | 10.6211i | −0.379521 | − | 0.458763i | ||||
\(537\) | −1.08007 | − | 1.70192i | −0.0466086 | − | 0.0734434i | ||||
\(538\) | 0.0147414 | − | 0.234308i | 0.000635547 | − | 0.0101017i | ||||
\(539\) | −31.9902 | + | 50.4086i | −1.37792 | + | 2.17125i | ||||
\(540\) | −2.27914 | + | 4.37658i | −0.0980788 | + | 0.188338i | ||||
\(541\) | 0.578883 | − | 9.20109i | 0.0248881 | − | 0.395586i | −0.965787 | − | 0.259338i | \(-0.916496\pi\) |
0.990675 | − | 0.136248i | \(-0.0435043\pi\) | |||||||
\(542\) | 1.84099 | + | 9.65080i | 0.0790772 | + | 0.414537i | ||||
\(543\) | −0.182460 | + | 0.561556i | −0.00783013 | + | 0.0240987i | ||||
\(544\) | 11.1178 | + | 10.4403i | 0.476672 | + | 0.447625i | ||||
\(545\) | −4.17759 | − | 1.85201i | −0.178948 | − | 0.0793313i | ||||
\(546\) | −0.396765 | + | 2.07992i | −0.0169800 | + | 0.0890122i | ||||
\(547\) | −8.96922 | + | 8.42266i | −0.383496 | + | 0.360127i | −0.852189 | − | 0.523235i | \(-0.824725\pi\) |
0.468693 | + | 0.883361i | \(0.344725\pi\) | |||||||
\(548\) | 13.8669 | − | 5.49028i | 0.592363 | − | 0.234533i | ||||
\(549\) | −6.78261 | + | 20.8747i | −0.289475 | + | 0.890911i | ||||
\(550\) | 22.5037 | − | 17.9534i | 0.959562 | − | 0.765535i | ||||
\(551\) | 1.86320 | + | 5.73435i | 0.0793751 | + | 0.244292i | ||||
\(552\) | −2.20209 | − | 2.66187i | −0.0937271 | − | 0.113297i | ||||
\(553\) | −21.8383 | − | 46.4088i | −0.928661 | − | 1.97351i | ||||
\(554\) | 3.44119 | − | 3.23150i | 0.146202 | − | 0.137293i | ||||
\(555\) | 0.201963 | − | 0.291578i | 0.00857287 | − | 0.0123768i | ||||
\(556\) | −0.606276 | − | 0.0765904i | −0.0257118 | − | 0.00324816i | ||||
\(557\) | 23.5217 | 0.996647 | 0.498323 | − | 0.866991i | \(-0.333949\pi\) | ||||
0.498323 | + | 0.866991i | \(0.333949\pi\) | |||||||
\(558\) | −24.8559 | − | 3.14003i | −1.05223 | − | 0.132928i | ||||
\(559\) | −6.73405 | + | 8.14007i | −0.284820 | + | 0.344288i | ||||
\(560\) | −4.10925 | + | 0.880298i | −0.173647 | + | 0.0371994i | ||||
\(561\) | 0.362282 | + | 5.75830i | 0.0152955 | + | 0.243116i | ||||
\(562\) | 25.4904 | − | 6.54482i | 1.07525 | − | 0.276077i | ||||
\(563\) | 14.2182 | − | 3.65062i | 0.599227 | − | 0.153855i | 0.0631209 | − | 0.998006i | \(-0.479895\pi\) |
0.536106 | + | 0.844150i | \(0.319895\pi\) | |||||||
\(564\) | 0.119441 | + | 1.89846i | 0.00502938 | + | 0.0799397i | ||||
\(565\) | −2.94866 | + | 28.4916i | −0.124051 | + | 1.19865i | ||||
\(566\) | 19.6039 | − | 23.6971i | 0.824014 | − | 0.996062i | ||||
\(567\) | −32.5006 | − | 4.10578i | −1.36490 | − | 0.172427i | ||||
\(568\) | −18.9121 | −0.793533 | ||||||||
\(569\) | −33.0889 | − | 4.18010i | −1.38716 | − | 0.175239i | −0.603963 | − | 0.797012i | \(-0.706413\pi\) |
−0.783197 | + | 0.621773i | \(0.786413\pi\) | |||||||
\(570\) | 1.55893 | − | 0.545664i | 0.0652962 | − | 0.0228554i | ||||
\(571\) | −0.312300 | + | 0.293269i | −0.0130693 | + | 0.0122729i | −0.691054 | − | 0.722803i | \(-0.742853\pi\) |
0.677985 | + | 0.735076i | \(0.262853\pi\) | |||||||
\(572\) | 4.99023 | + | 10.6048i | 0.208652 | + | 0.443408i | ||||
\(573\) | 2.61177 | + | 3.15709i | 0.109108 | + | 0.131889i | ||||
\(574\) | 9.08926 | + | 27.9739i | 0.379378 | + | 1.16761i | ||||
\(575\) | 16.8839 | + | 5.81928i | 0.704106 | + | 0.242681i | ||||
\(576\) | −5.32635 | + | 16.3928i | −0.221931 | + | 0.683034i | ||||
\(577\) | 37.7635 | − | 14.9516i | 1.57211 | − | 0.622444i | 0.589444 | − | 0.807809i | \(-0.299347\pi\) |
0.982670 | + | 0.185365i | \(0.0593469\pi\) | |||||||
\(578\) | 6.15041 | − | 5.77562i | 0.255823 | − | 0.240234i | ||||
\(579\) | 1.31838 | − | 6.91117i | 0.0547898 | − | 0.287218i | ||||
\(580\) | −6.23455 | + | 1.33559i | −0.258876 | + | 0.0554573i | ||||
\(581\) | 53.5336 | + | 50.2714i | 2.22095 | + | 2.08561i | ||||
\(582\) | −0.125649 | + | 0.386707i | −0.00520831 | + | 0.0160295i | ||||
\(583\) | −7.29871 | − | 38.2612i | −0.302282 | − | 1.58462i | ||||
\(584\) | 1.24709 | − | 19.8220i | 0.0516050 | − | 0.820238i | ||||
\(585\) | −10.6997 | − | 1.79217i | −0.442378 | − | 0.0740972i | ||||
\(586\) | 2.95749 | − | 4.66027i | 0.122173 | − | 0.192514i | ||||
\(587\) | 1.78035 | − | 28.2978i | 0.0734829 | − | 1.16798i | −0.772589 | − | 0.634907i | \(-0.781038\pi\) |
0.846071 | − | 0.533070i | \(-0.178962\pi\) | |||||||
\(588\) | −1.94089 | − | 3.05835i | −0.0800409 | − | 0.126124i | ||||
\(589\) | −14.1681 | − | 17.1263i | −0.583786 | − | 0.705676i | ||||
\(590\) | −2.46786 | + | 6.66839i | −0.101600 | + | 0.274533i | ||||
\(591\) | −3.80040 | + | 0.975777i | −0.156328 | + | 0.0401381i | ||||
\(592\) | 0.0938273 | − | 0.199393i | 0.00385628 | − | 0.00819501i | ||||
\(593\) | −2.61092 | − | 8.03559i | −0.107218 | − | 0.329982i | 0.883027 | − | 0.469323i | \(-0.155502\pi\) |
−0.990245 | + | 0.139340i | \(0.955502\pi\) | |||||||
\(594\) | −9.84744 | + | 5.41368i | −0.404046 | + | 0.222126i | ||||
\(595\) | 3.80108 | + | 25.4599i | 0.155829 | + | 1.04375i | ||||
\(596\) | 3.08429 | − | 0.389636i | 0.126337 | − | 0.0159601i | ||||
\(597\) | −1.56056 | + | 0.197144i | −0.0638694 | + | 0.00806858i | ||||
\(598\) | 2.99547 | − | 4.72011i | 0.122494 | − | 0.193020i | ||||
\(599\) | 14.7042 | + | 10.6832i | 0.600798 | + | 0.436505i | 0.846162 | − | 0.532926i | \(-0.178908\pi\) |
−0.245364 | + | 0.969431i | \(0.578908\pi\) | |||||||
\(600\) | 1.11935 | + | 4.70483i | 0.0456972 | + | 0.192074i | ||||
\(601\) | −30.4496 | + | 22.1229i | −1.24206 | + | 0.902412i | −0.997734 | − | 0.0672805i | \(-0.978568\pi\) |
−0.244329 | + | 0.969692i | \(0.578568\pi\) | |||||||
\(602\) | 1.50425 | + | 23.9093i | 0.0613086 | + | 0.974472i | ||||
\(603\) | −11.9603 | − | 6.57524i | −0.487062 | − | 0.267764i | ||||
\(604\) | −2.61973 | − | 5.56720i | −0.106595 | − | 0.226526i | ||||
\(605\) | −60.4470 | + | 5.17295i | −2.45752 | + | 0.210310i | ||||
\(606\) | −0.505754 | − | 2.65125i | −0.0205448 | − | 0.107700i | ||||
\(607\) | 22.4015 | + | 16.2757i | 0.909250 | + | 0.660609i | 0.940825 | − | 0.338893i | \(-0.110052\pi\) |
−0.0315753 | + | 0.999501i | \(0.510052\pi\) | |||||||
\(608\) | −11.3317 | + | 6.22966i | −0.459562 | + | 0.252646i | ||||
\(609\) | 1.82812 | + | 2.88065i | 0.0740790 | + | 0.116730i | ||||
\(610\) | 6.15888 | + | 14.5862i | 0.249366 | + | 0.590580i | ||||
\(611\) | −7.92465 | + | 3.13759i | −0.320597 | + | 0.126933i | ||||
\(612\) | 8.56736 | + | 3.39206i | 0.346315 | + | 0.137116i | ||||
\(613\) | −10.6896 | + | 12.9215i | −0.431748 | + | 0.521894i | −0.940855 | − | 0.338809i | \(-0.889976\pi\) |
0.509107 | + | 0.860703i | \(0.329976\pi\) | |||||||
\(614\) | −13.3047 | − | 3.41607i | −0.536935 | − | 0.137862i | ||||
\(615\) | 5.40367 | − | 1.89142i | 0.217897 | − | 0.0762695i | ||||
\(616\) | 68.4224 | + | 27.0904i | 2.75682 | + | 1.09150i | ||||
\(617\) | −31.7011 | − | 29.7693i | −1.27624 | − | 1.19847i | −0.969063 | − | 0.246814i | \(-0.920616\pi\) |
−0.307175 | − | 0.951653i | \(-0.599384\pi\) | |||||||
\(618\) | 2.79874 | − | 2.03340i | 0.112582 | − | 0.0817955i | ||||
\(619\) | −17.1197 | + | 36.3812i | −0.688099 | + | 1.46228i | 0.189001 | + | 0.981977i | \(0.439475\pi\) |
−0.877100 | + | 0.480308i | \(0.840525\pi\) | |||||||
\(620\) | 19.5568 | − | 13.0385i | 0.785418 | − | 0.523638i | ||||
\(621\) | −6.10887 | − | 3.35838i | −0.245140 | − | 0.134767i | ||||
\(622\) | 1.56392 | − | 8.19834i | 0.0627073 | − | 0.328723i | ||||
\(623\) | −3.24994 | − | 0.834444i | −0.130206 | − | 0.0334313i | ||||
\(624\) | 0.256058 | 0.0102505 | ||||||||
\(625\) | −17.6052 | − | 17.7499i | −0.704206 | − | 0.709996i | ||||
\(626\) | −13.7405 | −0.549180 | ||||||||
\(627\) | −4.73825 | − | 1.21658i | −0.189228 | − | 0.0485854i | ||||
\(628\) | −3.35477 | + | 17.5863i | −0.133870 | + | 0.701771i | ||||
\(629\) | −1.18287 | − | 0.650291i | −0.0471643 | − | 0.0259288i | ||||
\(630\) | −20.4691 | + | 13.6468i | −0.815510 | + | 0.543700i | ||||
\(631\) | −4.85565 | + | 10.3188i | −0.193300 | + | 0.410784i | −0.977857 | − | 0.209273i | \(-0.932890\pi\) |
0.784557 | + | 0.620057i | \(0.212890\pi\) | |||||||
\(632\) | −29.6674 | + | 21.5546i | −1.18010 | + | 0.857396i | ||||
\(633\) | −2.43037 | − | 2.28227i | −0.0965986 | − | 0.0907121i | ||||
\(634\) | −24.1799 | − | 9.57350i | −0.960306 | − | 0.380212i | ||||
\(635\) | 9.82201 | − | 3.43796i | 0.389775 | − | 0.136431i | ||||
\(636\) | 2.28897 | + | 0.587708i | 0.0907636 | + | 0.0233041i | ||||
\(637\) | 10.3454 | − | 12.5054i | 0.409898 | − | 0.495482i | ||||
\(638\) | −13.5006 | − | 5.34528i | −0.534495 | − | 0.211622i | ||||
\(639\) | −17.4106 | + | 6.89335i | −0.688753 | + | 0.272697i | ||||
\(640\) | −4.57251 | − | 10.8292i | −0.180744 | − | 0.428062i | ||||
\(641\) | −6.74084 | − | 10.6219i | −0.266247 | − | 0.419538i | 0.684731 | − | 0.728796i | \(-0.259920\pi\) |
−0.950978 | + | 0.309257i | \(0.899920\pi\) | |||||||
\(642\) | −0.820183 | + | 0.450899i | −0.0323700 | + | 0.0177956i | ||||
\(643\) | 11.5538 | + | 8.39431i | 0.455636 | + | 0.331039i | 0.791817 | − | 0.610758i | \(-0.209135\pi\) |
−0.336181 | + | 0.941797i | \(0.609135\pi\) | |||||||
\(644\) | 3.08942 | + | 16.1953i | 0.121740 | + | 0.638184i | ||||
\(645\) | 4.64601 | − | 0.397597i | 0.182936 | − | 0.0156554i | ||||
\(646\) | −2.67631 | − | 5.68745i | −0.105298 | − | 0.223770i | ||||
\(647\) | 17.8556 | + | 9.81618i | 0.701975 | + | 0.385914i | 0.792410 | − | 0.609989i | \(-0.208826\pi\) |
−0.0904357 | + | 0.995902i | \(0.528826\pi\) | |||||||
\(648\) | 1.47065 | + | 23.3754i | 0.0577727 | + | 0.918271i | ||||
\(649\) | 17.0377 | − | 12.3786i | 0.668789 | − | 0.485903i | ||||
\(650\) | −6.68103 | + | 4.07535i | −0.262052 | + | 0.159848i | ||||
\(651\) | −10.1752 | − | 7.39270i | −0.398797 | − | 0.289743i | ||||
\(652\) | 2.67252 | − | 4.21121i | 0.104664 | − | 0.164924i | ||||
\(653\) | −29.3419 | + | 3.70674i | −1.14824 | + | 0.145056i | −0.676334 | − | 0.736595i | \(-0.736433\pi\) |
−0.471903 | + | 0.881651i | \(0.656433\pi\) | |||||||
\(654\) | 0.626412 | − | 0.0791343i | 0.0244947 | − | 0.00309440i | ||||
\(655\) | 4.20389 | + | 28.1579i | 0.164260 | + | 1.10022i | ||||
\(656\) | 3.11697 | − | 1.71357i | 0.121697 | − | 0.0669037i | ||||
\(657\) | −6.07691 | − | 18.7028i | −0.237083 | − | 0.729666i | ||||
\(658\) | −8.22930 | + | 17.4882i | −0.320812 | + | 0.681759i | ||||
\(659\) | 18.8416 | − | 4.83769i | 0.733963 | − | 0.188450i | 0.136833 | − | 0.990594i | \(-0.456308\pi\) |
0.597130 | + | 0.802144i | \(0.296308\pi\) | |||||||
\(660\) | 1.79547 | − | 4.85154i | 0.0698886 | − | 0.188846i | ||||
\(661\) | 12.1626 | + | 14.7021i | 0.473072 | + | 0.571846i | 0.952035 | − | 0.305989i | \(-0.0989872\pi\) |
−0.478963 | + | 0.877835i | \(0.658987\pi\) | |||||||
\(662\) | 4.15546 | + | 6.54796i | 0.161507 | + | 0.254494i | ||||
\(663\) | 0.0984851 | − | 1.56538i | 0.00382484 | − | 0.0607942i | ||||
\(664\) | 28.1338 | − | 44.3317i | 1.09180 | − | 1.72040i | ||||
\(665\) | −21.5261 | − | 3.60556i | −0.834745 | − | 0.139818i | ||||
\(666\) | 0.0810009 | − | 1.28747i | 0.00313872 | − | 0.0498886i | ||||
\(667\) | −1.68787 | − | 8.84813i | −0.0653546 | − | 0.342601i | ||||
\(668\) | 3.65805 | − | 11.2583i | 0.141534 | − | 0.435598i | ||||
\(669\) | −2.66598 | − | 2.50352i | −0.103073 | − | 0.0967917i | ||||
\(670\) | −9.62715 | + | 2.06236i | −0.371929 | + | 0.0796760i | ||||
\(671\) | 8.78728 | − | 46.0645i | 0.339229 | − | 1.77830i | ||||
\(672\) | −5.33396 | + | 5.00892i | −0.205762 | + | 0.193223i | ||||
\(673\) | 9.97363 | − | 3.94884i | 0.384455 | − | 0.152217i | −0.167944 | − | 0.985797i | \(-0.553713\pi\) |
0.552399 | + | 0.833580i | \(0.313713\pi\) | |||||||
\(674\) | 7.19039 | − | 22.1297i | 0.276963 | − | 0.852406i | ||||
\(675\) | 5.59502 | + | 7.99565i | 0.215353 | + | 0.307753i | ||||
\(676\) | 3.55750 | + | 10.9489i | 0.136827 | + | 0.421110i | ||||
\(677\) | −22.1148 | − | 26.7322i | −0.849940 | − | 1.02740i | −0.999254 | − | 0.0386108i | \(-0.987707\pi\) |
0.149315 | − | 0.988790i | \(-0.452293\pi\) | |||||||
\(678\) | −1.68510 | − | 3.58101i | −0.0647158 | − | 0.137528i | ||||
\(679\) | 3.91683 | − | 3.67815i | 0.150314 | − | 0.141155i | ||||
\(680\) | 17.3713 | − | 6.08041i | 0.666160 | − | 0.233173i | ||||
\(681\) | 3.31873 | + | 0.419253i | 0.127174 | + | 0.0160658i | ||||
\(682\) | 53.5280 | 2.04969 | ||||||||
\(683\) | −16.4814 | − | 2.08208i | −0.630642 | − | 0.0796686i | −0.196487 | − | 0.980507i | \(-0.562953\pi\) |
−0.434156 | + | 0.900838i | \(0.642953\pi\) | |||||||
\(684\) | −4.97996 | + | 6.01974i | −0.190414 | + | 0.230171i | ||||
\(685\) | 3.03635 | − | 29.3389i | 0.116013 | − | 1.12098i | ||||
\(686\) | −0.637787 | − | 10.1373i | −0.0243508 | − | 0.387045i | ||||
\(687\) | 7.42201 | − | 1.90565i | 0.283167 | − | 0.0727050i | ||||
\(688\) | 2.80603 | − | 0.720467i | 0.106979 | − | 0.0274676i | ||||
\(689\) | 0.664873 | + | 10.5678i | 0.0253296 | + | 0.402603i | ||||
\(690\) | −2.41276 | + | 0.516870i | −0.0918521 | + | 0.0196769i | ||||
\(691\) | 8.98969 | − | 10.8667i | 0.341984 | − | 0.413388i | −0.571280 | − | 0.820755i | \(-0.693553\pi\) |
0.913264 | + | 0.407367i | \(0.133553\pi\) | |||||||
\(692\) | 4.91149 | + | 0.620466i | 0.186707 | + | 0.0235866i | ||||
\(693\) | 72.8645 | 2.76789 | ||||||||
\(694\) | 21.3554 | + | 2.69781i | 0.810639 | + | 0.102407i | ||||
\(695\) | −0.688154 | + | 0.993501i | −0.0261032 | + | 0.0376856i | ||||
\(696\) | 1.77817 | − | 1.66982i | 0.0674015 | − | 0.0632942i | ||||
\(697\) | −9.27683 | − | 19.7143i | −0.351385 | − | 0.746731i | ||||
\(698\) | 4.41461 | + | 5.33635i | 0.167095 | + | 0.201984i | ||||
\(699\) | 1.68655 | + | 5.19068i | 0.0637913 | + | 0.196330i | ||||
\(700\) | 6.13586 | − | 22.2499i | 0.231914 | − | 0.840966i | ||||
\(701\) | −10.3474 | + | 31.8460i | −0.390816 | + | 1.20281i | 0.541357 | + | 0.840793i | \(0.317911\pi\) |
−0.932173 | + | 0.362014i | \(0.882089\pi\) | |||||||
\(702\) | 2.84034 | − | 1.12457i | 0.107202 | − | 0.0424442i | ||||
\(703\) | 0.834298 | − | 0.783458i | 0.0314661 | − | 0.0295487i | ||||
\(704\) | 6.90061 | − | 36.1743i | 0.260076 | − | 1.36337i | ||||
\(705\) | 3.43918 | + | 1.52466i | 0.129527 | + | 0.0574219i | ||||
\(706\) | −5.47526 | − | 5.14161i | −0.206064 | − | 0.193507i | ||||
\(707\) | −11.0216 | + | 33.9211i | −0.414511 | + | 1.27573i | ||||
\(708\) | 0.239421 | + | 1.25509i | 0.00899801 | + | 0.0471692i | ||||
\(709\) | −1.45572 | + | 23.1380i | −0.0546707 | + | 0.868966i | 0.871153 | + | 0.491011i | \(0.163373\pi\) |
−0.925824 | + | 0.377955i | \(0.876627\pi\) | |||||||
\(710\) | −6.23909 | + | 11.9808i | −0.234149 | + | 0.449630i | ||||
\(711\) | −19.4555 | + | 30.6569i | −0.729637 | + | 1.14972i | ||||
\(712\) | −0.150633 | + | 2.39424i | −0.00564520 | + | 0.0897278i | ||||
\(713\) | 17.7927 | + | 28.0368i | 0.666343 | + | 1.04999i | ||||
\(714\) | −2.26716 | − | 2.74052i | −0.0848463 | − | 0.102562i | ||||
\(715\) | 23.1601 | + | 0.933705i | 0.866139 | + | 0.0349186i | ||||
\(716\) | 6.66187 | − | 1.71048i | 0.248966 | − | 0.0639235i | ||||
\(717\) | −1.78956 | + | 3.80301i | −0.0668324 | + | 0.142026i | ||||
\(718\) | −6.62002 | − | 20.3743i | −0.247057 | − | 0.760363i | ||||
\(719\) | −16.7905 | + | 9.23066i | −0.626180 | + | 0.344245i | −0.763046 | − | 0.646344i | \(-0.776297\pi\) |
0.136866 | + | 0.990590i | \(0.456297\pi\) | |||||||
\(720\) | 2.08489 | + | 2.12224i | 0.0776992 | + | 0.0790911i | ||||
\(721\) | −45.3542 | + | 5.72957i | −1.68908 | + | 0.213380i | ||||
\(722\) | −12.2883 | + | 1.55237i | −0.457323 | + | 0.0577734i | ||||
\(723\) | −2.47742 | + | 3.90380i | −0.0921364 | + | 0.145184i | ||||
\(724\) | −1.62995 | − | 1.18423i | −0.0605766 | − | 0.0440115i | ||||
\(725\) | −3.35226 | + | 12.1560i | −0.124500 | + | 0.451462i | ||||
\(726\) | 6.78152 | − | 4.92706i | 0.251686 | − | 0.182860i | ||||
\(727\) | −0.409557 | − | 6.50973i | −0.0151896 | − | 0.241432i | −0.998294 | − | 0.0583867i | \(-0.981404\pi\) |
0.983104 | − | 0.183046i | \(-0.0585956\pi\) | |||||||
\(728\) | −17.5307 | − | 9.63761i | −0.649733 | − | 0.357194i | ||||
\(729\) | 9.04798 | + | 19.2279i | 0.335111 | + | 0.712146i | ||||
\(730\) | −12.1458 | − | 7.32929i | −0.449535 | − | 0.271269i | ||||
\(731\) | −3.32522 | − | 17.4314i | −0.122988 | − | 0.644724i | ||||
\(732\) | 2.30181 | + | 1.67236i | 0.0850773 | + | 0.0618122i | ||||
\(733\) | −17.8492 | + | 9.81270i | −0.659276 | + | 0.362440i | −0.776008 | − | 0.630723i | \(-0.782758\pi\) |
0.116732 | + | 0.993164i | \(0.462758\pi\) | |||||||
\(734\) | 8.28520 | + | 13.0554i | 0.305812 | + | 0.481883i | ||||
\(735\) | −7.13755 | + | 0.610820i | −0.263272 | + | 0.0225304i | ||||
\(736\) | 17.9619 | − | 7.11163i | 0.662086 | − | 0.262138i | ||||
\(737\) | 27.1131 | + | 10.7348i | 0.998723 | + | 0.395423i | ||||
\(738\) | 13.2726 | − | 16.0438i | 0.488572 | − | 0.590582i | ||||
\(739\) | −33.4390 | − | 8.58567i | −1.23007 | − | 0.315829i | −0.422917 | − | 0.906168i | \(-0.638994\pi\) |
−0.807155 | + | 0.590339i | \(0.798994\pi\) | |||||||
\(740\) | 0.733266 | + | 0.962850i | 0.0269554 | + | 0.0353951i | ||||
\(741\) | 1.23647 | + | 0.489554i | 0.0454230 | + | 0.0179842i | ||||
\(742\) | 17.5037 | + | 16.4371i | 0.642582 | + | 0.603424i | ||||
\(743\) | −17.5480 | + | 12.7494i | −0.643774 | + | 0.467729i | −0.861145 | − | 0.508360i | \(-0.830252\pi\) |
0.217371 | + | 0.976089i | \(0.430252\pi\) | |||||||
\(744\) | −3.82873 | + | 8.13647i | −0.140368 | + | 0.298298i | ||||
\(745\) | 2.13391 | − | 5.76604i | 0.0781805 | − | 0.211251i | ||||
\(746\) | 13.0807 | + | 7.19116i | 0.478917 | + | 0.263287i | ||||
\(747\) | 9.74150 | − | 51.0668i | 0.356423 | − | 1.86843i | ||||
\(748\) | −19.0686 | − | 4.89599i | −0.697218 | − | 0.179015i | ||||
\(749\) | 12.3682 | 0.451923 | ||||||||
\(750\) | 3.34977 | + | 0.843016i | 0.122316 | + | 0.0307826i | ||||
\(751\) | −21.6995 | −0.791826 | −0.395913 | − | 0.918288i | \(-0.629572\pi\) | ||||
−0.395913 | + | 0.918288i | \(0.629572\pi\) | |||||||
\(752\) | 2.26384 | + | 0.581256i | 0.0825538 | + | 0.0211962i | ||||
\(753\) | −0.396602 | + | 2.07906i | −0.0144530 | + | 0.0757652i | ||||
\(754\) | 3.45904 | + | 1.90163i | 0.125971 | + | 0.0692531i | ||||
\(755\) | −12.1584 | − | 0.490168i | −0.442489 | − | 0.0178390i | ||||
\(756\) | −3.83606 | + | 8.15205i | −0.139516 | + | 0.296487i | ||||
\(757\) | −25.4773 | + | 18.5103i | −0.925988 | + | 0.672769i | −0.945007 | − | 0.327050i | \(-0.893946\pi\) |
0.0190196 | + | 0.999819i | \(0.493946\pi\) | |||||||
\(758\) | −24.8580 | − | 23.3432i | −0.902883 | − | 0.847863i | ||||
\(759\) | 6.79509 | + | 2.69036i | 0.246646 | + | 0.0976541i | ||||
\(760\) | 0.351679 | + | 15.6009i | 0.0127568 | + | 0.565903i | ||||
\(761\) | −14.1041 | − | 3.62131i | −0.511272 | − | 0.131272i | −0.0157640 | − | 0.999876i | \(-0.505018\pi\) |
−0.495508 | + | 0.868603i | \(0.665018\pi\) | |||||||
\(762\) | −0.916507 | + | 1.10787i | −0.0332015 | + | 0.0401338i | ||||
\(763\) | −7.75761 | − | 3.07145i | −0.280844 | − | 0.111194i | ||||
\(764\) | −12.9992 | + | 5.14673i | −0.470293 | + | 0.186202i | ||||
\(765\) | 13.7759 | − | 11.9294i | 0.498069 | − | 0.431309i | ||||
\(766\) | −4.94594 | − | 7.79356i | −0.178704 | − | 0.281593i | ||||
\(767\) | −5.01688 | + | 2.75806i | −0.181149 | + | 0.0995876i | ||||
\(768\) | 4.51144 | + | 3.27775i | 0.162792 | + | 0.118276i | ||||
\(769\) | 1.26960 | + | 6.65550i | 0.0457831 | + | 0.240003i | 0.997821 | − | 0.0659761i | \(-0.0210161\pi\) |
−0.952038 | + | 0.305979i | \(0.901016\pi\) | |||||||
\(770\) | 39.7342 | − | 34.4084i | 1.43192 | − | 1.23999i | ||||
\(771\) | 1.83867 | + | 3.90738i | 0.0662182 | + | 0.140721i | ||||
\(772\) | 21.0378 | + | 11.5656i | 0.757165 | + | 0.416255i | ||||
\(773\) | −2.75268 | − | 43.7526i | −0.0990070 | − | 1.57367i | −0.663463 | − | 0.748209i | \(-0.730914\pi\) |
0.564456 | − | 0.825463i | \(-0.309086\pi\) | |||||||
\(774\) | 13.7203 | − | 9.96842i | 0.493168 | − | 0.358307i | ||||
\(775\) | −5.00639 | − | 46.2144i | −0.179835 | − | 1.66007i | ||||
\(776\) | −3.10792 | − | 2.25804i | −0.111568 | − | 0.0810588i | ||||
\(777\) | 0.347007 | − | 0.546795i | 0.0124488 | − | 0.0196162i | ||||
\(778\) | −0.677837 | + | 0.0856308i | −0.0243017 | + | 0.00307001i | ||||
\(779\) | 18.3276 | − | 2.31532i | 0.656656 | − | 0.0829549i | ||||
\(780\) | −0.649543 | + | 1.24730i | −0.0232574 | + | 0.0446606i | ||||
\(781\) | 35.0595 | − | 19.2741i | 1.25453 | − | 0.689682i | ||||
\(782\) | 2.90181 | + | 8.93086i | 0.103769 | + | 0.319367i | ||||
\(783\) | 2.09579 | − | 4.45379i | 0.0748975 | − | 0.159165i | ||||
\(784\) | −4.31085 | + | 1.10684i | −0.153959 | + | 0.0395299i | ||||
\(785\) | 27.7836 | + | 21.9490i | 0.991639 | + | 0.783392i | ||||
\(786\) | −2.50741 | − | 3.03094i | −0.0894365 | − | 0.108110i | ||||
\(787\) | 15.4242 | + | 24.3047i | 0.549814 | + | 0.866369i | 0.999642 | − | 0.0267465i | \(-0.00851470\pi\) |
−0.449828 | + | 0.893115i | \(0.648515\pi\) | |||||||
\(788\) | 0.840653 | − | 13.3618i | 0.0299470 | − | 0.475994i | ||||
\(789\) | 0.280613 | − | 0.442176i | 0.00999010 | − | 0.0157419i | ||||
\(790\) | 3.86755 | + | 25.9051i | 0.137601 | + | 0.921661i | ||||
\(791\) | −3.28387 | + | 52.1955i | −0.116761 | + | 1.85586i | ||||
\(792\) | −9.76177 | − | 51.1730i | −0.346869 | − | 1.81835i | ||||
\(793\) | −3.93944 | + | 12.1244i | −0.139894 | + | 0.430549i | ||||
\(794\) | 14.7544 | + | 13.8553i | 0.523615 | + | 0.491707i | ||||
\(795\) | 3.12177 | − | 3.47822i | 0.110718 | − | 0.123360i | ||||
\(796\) | 1.00571 | − | 5.27214i | 0.0356466 | − | 0.186866i | ||||
\(797\) | −9.02014 | + | 8.47048i | −0.319510 | + | 0.300040i | −0.827661 | − | 0.561228i | \(-0.810329\pi\) |
0.508151 | + | 0.861268i | \(0.330329\pi\) | |||||||
\(798\) | 2.80389 | − | 1.11014i | 0.0992568 | − | 0.0392985i | ||||
\(799\) | 4.42415 | − | 13.6161i | 0.156515 | − | 0.481704i | ||||
\(800\) | −26.9560 | − | 2.17701i | −0.953040 | − | 0.0769690i | ||||
\(801\) | 0.734012 | + | 2.25906i | 0.0259351 | + | 0.0798199i | ||||
\(802\) | −18.8741 | − | 22.8149i | −0.666467 | − | 0.805621i | ||||
\(803\) | 17.8895 | + | 38.0172i | 0.631308 | + | 1.34160i | ||||
\(804\) | −1.28971 | + | 1.21112i | −0.0454846 | + | 0.0427129i | ||||
\(805\) | 31.2301 | + | 9.37461i | 1.10072 | + | 0.330411i | ||||
\(806\) | −14.4367 | − | 1.82378i | −0.508510 | − | 0.0642398i | ||||
\(807\) | −0.0834343 | −0.00293702 | ||||||||
\(808\) | 25.2995 | + | 3.19607i | 0.890032 | + | 0.112437i | ||||
\(809\) | 22.0951 | − | 26.7084i | 0.776822 | − | 0.939016i | −0.222533 | − | 0.974925i | \(-0.571433\pi\) |
0.999355 | + | 0.0359088i | \(0.0114326\pi\) | |||||||
\(810\) | 15.2934 | + | 6.77987i | 0.537356 | + | 0.238220i | ||||
\(811\) | −1.74281 | − | 27.7011i | −0.0611982 | − | 0.972718i | −0.902099 | − | 0.431529i | \(-0.857974\pi\) |
0.840901 | − | 0.541189i | \(-0.182026\pi\) | |||||||
\(812\) | −11.2758 | + | 2.89513i | −0.395702 | + | 0.101599i | ||||
\(813\) | 3.38191 | − | 0.868326i | 0.118609 | − | 0.0304535i | ||||
\(814\) | 0.173063 | + | 2.75076i | 0.00606585 | + | 0.0964139i | ||||
\(815\) | −4.94562 | − | 8.53461i | −0.173238 | − | 0.298954i | ||||
\(816\) | −0.274166 | + | 0.331409i | −0.00959772 | + | 0.0116016i | ||||
\(817\) | 14.9274 | + | 1.88577i | 0.522245 | + | 0.0659749i | ||||
\(818\) | 18.7359 | 0.655086 | ||||||||
\(819\) | −19.6518 | − | 2.48260i | −0.686690 | − | 0.0867491i | ||||
\(820\) | 0.440254 | + | 19.5301i | 0.0153743 | + | 0.682021i | ||||
\(821\) | 5.04523 | − | 4.73778i | 0.176080 | − | 0.165350i | −0.591497 | − | 0.806308i | \(-0.701463\pi\) |
0.767576 | + | 0.640958i | \(0.221463\pi\) | |||||||
\(822\) | 1.73521 | + | 3.68751i | 0.0605224 | + | 0.128617i | ||||
\(823\) | −14.8770 | − | 17.9832i | −0.518581 | − | 0.626856i | 0.444594 | − | 0.895732i | \(-0.353348\pi\) |
−0.963175 | + | 0.268876i | \(0.913348\pi\) | |||||||
\(824\) | 10.1001 | + | 31.0848i | 0.351852 | + | 1.08289i | ||||
\(825\) | −6.86995 | − | 7.58110i | −0.239181 | − | 0.263940i | ||||
\(826\) | −4.01178 | + | 12.3470i | −0.139588 | + | 0.429607i | ||||
\(827\) | 31.0339 | − | 12.2872i | 1.07915 | − | 0.427267i | 0.239783 | − | 0.970826i | \(-0.422924\pi\) |
0.839371 | + | 0.543559i | \(0.182924\pi\) | |||||||
\(828\) | 8.50828 | − | 7.98980i | 0.295683 | − | 0.277665i | ||||
\(829\) | −9.18343 | + | 48.1412i | −0.318954 | + | 1.67201i | 0.356256 | + | 0.934388i | \(0.384053\pi\) |
−0.675210 | + | 0.737626i | \(0.735947\pi\) | |||||||
\(830\) | −18.8028 | − | 32.4477i | −0.652653 | − | 1.12628i | ||||
\(831\) | −1.22295 | − | 1.14843i | −0.0424237 | − | 0.0398385i | ||||
\(832\) | −3.09363 | + | 9.52120i | −0.107252 | + | 0.330088i | ||||
\(833\) | 5.10846 | + | 26.7795i | 0.176998 | + | 0.927854i | ||||
\(834\) | 0.0104850 | − | 0.166655i | 0.000363067 | − | 0.00577079i | ||||
\(835\) | −16.4066 | − | 16.7006i | −0.567775 | − | 0.577947i | ||||
\(836\) | 8.94409 | − | 14.0936i | 0.309338 | − | 0.487438i | ||||
\(837\) | −1.13937 | + | 18.1097i | −0.0393822 | + | 0.625962i | ||||
\(838\) | 4.14903 | + | 6.53782i | 0.143326 | + | 0.225845i | ||||
\(839\) | −12.0487 | − | 14.5644i | −0.415969 | − | 0.502820i | 0.520359 | − | 0.853948i | \(-0.325798\pi\) |
−0.936328 | + | 0.351128i | \(0.885798\pi\) | |||||||
\(840\) | 2.38812 | + | 8.50092i | 0.0823979 | + | 0.293310i | ||||
\(841\) | −21.9285 | + | 5.63028i | −0.756156 | + | 0.194148i | ||||
\(842\) | 8.49047 | − | 18.0432i | 0.292601 | − | 0.621809i | ||||
\(843\) | −2.89016 | − | 8.89500i | −0.0995424 | − | 0.306360i | ||||
\(844\) | 9.96897 | − | 5.48049i | 0.343146 | − | 0.188646i | ||||
\(845\) | 22.4549 | + | 3.76115i | 0.772474 | + | 0.129388i | ||||
\(846\) | 13.5745 | − | 1.71485i | 0.466699 | − | 0.0589579i | ||||
\(847\) | −109.896 | + | 13.8831i | −3.77607 | + | 0.477029i | ||||
\(848\) | 1.55588 | − | 2.45168i | 0.0534292 | − | 0.0841910i | ||||
\(849\) | −8.84244 | − | 6.42441i | −0.303472 | − | 0.220485i | ||||
\(850\) | 1.87887 | − | 13.0106i | 0.0644446 | − | 0.446261i | ||||
\(851\) | −1.38326 | + | 1.00500i | −0.0474176 | + | 0.0344509i | ||||
\(852\) | 0.152415 | + | 2.42256i | 0.00522164 | + | 0.0829956i | ||||
\(853\) | 0.545066 | + | 0.299653i | 0.0186627 | + | 0.0102599i | 0.491058 | − | 0.871127i | \(-0.336610\pi\) |
−0.472395 | + | 0.881387i | \(0.656610\pi\) | |||||||
\(854\) | 12.3088 | + | 26.1574i | 0.421197 | + | 0.895089i | ||||
\(855\) | 6.01019 | + | 14.2341i | 0.205544 | + | 0.486796i | ||||
\(856\) | −1.65698 | − | 8.68620i | −0.0566344 | − | 0.296888i | ||||
\(857\) | 19.0875 | + | 13.8679i | 0.652017 | + | 0.473718i | 0.863958 | − | 0.503565i | \(-0.167978\pi\) |
−0.211941 | + | 0.977282i | \(0.567978\pi\) | |||||||
\(858\) | −2.80647 | + | 1.54287i | −0.0958112 | + | 0.0526726i | ||||
\(859\) | −21.8559 | − | 34.4395i | −0.745715 | − | 1.17506i | −0.979239 | − | 0.202708i | \(-0.935026\pi\) |
0.233524 | − | 0.972351i | \(-0.424974\pi\) | |||||||
\(860\) | −3.60856 | + | 15.4963i | −0.123051 | + | 0.528419i | ||||
\(861\) | 9.71907 | − | 3.84805i | 0.331225 | − | 0.131141i | ||||
\(862\) | −3.93591 | − | 1.55834i | −0.134058 | − | 0.0530772i | ||||
\(863\) | 28.9630 | − | 35.0102i | 0.985912 | − | 1.19176i | 0.00447214 | − | 0.999990i | \(-0.498576\pi\) |
0.981439 | − | 0.191772i | \(-0.0614235\pi\) | |||||||
\(864\) | 10.2250 | + | 2.62533i | 0.347861 | + | 0.0893155i | ||||
\(865\) | 5.57480 | − | 8.04844i | 0.189549 | − | 0.273655i | ||||
\(866\) | −18.2264 | − | 7.21635i | −0.619359 | − | 0.245221i | ||||
\(867\) | −2.18577 | − | 2.05257i | −0.0742326 | − | 0.0697090i | ||||
\(868\) | 34.7194 | − | 25.2251i | 1.17845 | − | 0.856197i | ||||
\(869\) | 33.0306 | − | 70.1935i | 1.12048 | − | 2.38115i | ||||
\(870\) | −0.471207 | − | 1.67734i | −0.0159754 | − | 0.0568672i | ||||
\(871\) | −6.94674 | − | 3.81900i | −0.235381 | − | 0.129402i | ||||
\(872\) | −1.11779 | + | 5.85968i | −0.0378533 | + | 0.198434i | ||||
\(873\) | −3.68422 | − | 0.945947i | −0.124692 | − | 0.0320155i | ||||
\(874\) | −7.96189 | −0.269315 | ||||||||
\(875\) | −33.4235 | − | 31.0872i | −1.12992 | − | 1.05094i | ||||
\(876\) | −2.54916 | −0.0861282 | ||||||||
\(877\) | −54.7385 | − | 14.0544i | −1.84839 | − | 0.474585i | −0.849769 | − | 0.527155i | \(-0.823259\pi\) |
−0.998617 | + | 0.0525704i | \(0.983259\pi\) | |||||||
\(878\) | −5.59713 | + | 29.3412i | −0.188894 | + | 0.990217i | ||||
\(879\) | −1.71892 | − | 0.944984i | −0.0579777 | − | 0.0318735i | ||||
\(880\) | −4.98765 | − | 3.94023i | −0.168134 | − | 0.132825i | ||||
\(881\) | −6.45240 | + | 13.7120i | −0.217387 | + | 0.461970i | −0.983541 | − | 0.180687i | \(-0.942168\pi\) |
0.766154 | + | 0.642657i | \(0.222168\pi\) | |||||||
\(882\) | −21.0782 | + | 15.3142i | −0.709742 | + | 0.515657i | ||||
\(883\) | 32.0380 | + | 30.0857i | 1.07817 | + | 1.01246i | 0.999879 | + | 0.0155336i | \(0.00494471\pi\) |
0.0782859 | + | 0.996931i | \(0.475055\pi\) | |||||||
\(884\) | 4.97606 | + | 1.97016i | 0.167363 | + | 0.0662637i | ||||
\(885\) | 2.42025 | + | 0.726506i | 0.0813557 | + | 0.0244212i | ||||
\(886\) | −7.52842 | − | 1.93297i | −0.252922 | − | 0.0649394i | ||||
\(887\) | −17.9825 | + | 21.7371i | −0.603792 | + | 0.729859i | −0.980510 | − | 0.196469i | \(-0.937053\pi\) |
0.376718 | + | 0.926328i | \(0.377053\pi\) | |||||||
\(888\) | −0.430505 | − | 0.170449i | −0.0144468 | − | 0.00571989i | ||||
\(889\) | 17.6659 | − | 6.99444i | 0.592496 | − | 0.234586i | ||||
\(890\) | 1.46705 | + | 0.885284i | 0.0491757 | + | 0.0296748i | ||||
\(891\) | −26.5491 | − | 41.8348i | −0.889430 | − | 1.40152i | ||||
\(892\) | 10.9354 | − | 6.01178i | 0.366144 | − | 0.201289i | ||||
\(893\) | 9.82052 | + | 7.13502i | 0.328631 | + | 0.238764i | ||||
\(894\) | 0.159179 | + | 0.834448i | 0.00532376 | + | 0.0279081i | ||||
\(895\) | 3.08501 | − | 13.2480i | 0.103120 | − | 0.442831i | ||||
\(896\) | −9.13833 | − | 19.4199i | −0.305290 | − | 0.648775i | ||||
\(897\) | −1.74099 | − | 0.957119i | −0.0581301 | − | 0.0319573i | ||||
\(898\) | 1.32936 | + | 21.1296i | 0.0443614 | + | 0.705104i | ||||
\(899\) | −18.9686 | + | 13.7815i | −0.632637 | + | 0.459638i | ||||
\(900\) | −15.6265 | + | 4.77235i | −0.520884 | + | 0.159078i | ||||
\(901\) | −14.3896 | − | 10.4546i | −0.479386 | − | 0.348295i | ||||
\(902\) | −23.8378 | + | 37.5624i | −0.793713 | + | 1.25069i | ||||
\(903\) | 8.44670 | − | 1.06707i | 0.281089 | − | 0.0355097i | ||||
\(904\) | 37.0970 | − | 4.68645i | 1.23383 | − | 0.155869i | ||||
\(905\) | −3.56613 | + | 1.77734i | −0.118542 | + | 0.0590807i | ||||
\(906\) | 1.47331 | − | 0.809961i | 0.0489475 | − | 0.0269091i | ||||
\(907\) | −10.9012 | − | 33.5504i | −0.361967 | − | 1.11402i | −0.951858 | − | 0.306538i | \(-0.900829\pi\) |
0.589891 | − | 0.807483i | \(-0.299171\pi\) | |||||||
\(908\) | −4.85988 | + | 10.3278i | −0.161281 | + | 0.342739i | ||||
\(909\) | 24.4558 | − | 6.27919i | 0.811149 | − | 0.208268i | ||||
\(910\) | −11.8888 | + | 7.92625i | −0.394110 | + | 0.262753i | ||||
\(911\) | 13.5488 | + | 16.3777i | 0.448892 | + | 0.542617i | 0.945613 | − | 0.325293i | \(-0.105463\pi\) |
−0.496721 | + | 0.867910i | \(0.665463\pi\) | |||||||
\(912\) | −0.195406 | − | 0.307911i | −0.00647055 | − | 0.0101959i | ||||
\(913\) | −6.97441 | + | 110.855i | −0.230819 | + | 3.66877i | ||||
\(914\) | 0.362531 | − | 0.571258i | 0.0119915 | − | 0.0188955i | ||||
\(915\) | 5.03608 | − | 2.50995i | 0.166488 | − | 0.0829763i | ||||
\(916\) | −1.64176 | + | 26.0950i | −0.0542452 | + | 0.862203i | ||||
\(917\) | 9.74035 | + | 51.0607i | 0.321655 | + | 1.68617i | ||||
\(918\) | −1.58570 | + | 4.88027i | −0.0523358 | + | 0.161073i | ||||
\(919\) | 10.3109 | + | 9.68262i | 0.340127 | + | 0.319400i | 0.835721 | − | 0.549154i | \(-0.185050\pi\) |
−0.495595 | + | 0.868554i | \(0.665050\pi\) | |||||||
\(920\) | 2.39988 | − | 23.1889i | 0.0791215 | − | 0.764516i | ||||
\(921\) | −0.914735 | + | 4.79521i | −0.0301415 | + | 0.158008i | ||||
\(922\) | 6.29915 | − | 5.91530i | 0.207451 | − | 0.194810i | ||||
\(923\) | −10.1124 | + | 4.00377i | −0.332852 | + | 0.131786i | ||||
\(924\) | 2.91874 | − | 8.98296i | 0.0960195 | − | 0.295518i | ||||
\(925\) | 2.35873 | − | 0.406691i | 0.0775547 | − | 0.0133719i | ||||
\(926\) | −7.57730 | − | 23.3205i | −0.249005 | − | 0.766360i | ||||
\(927\) | 20.6284 | + | 24.9355i | 0.677526 | + | 0.818989i | ||||
\(928\) | 5.80789 | + | 12.3424i | 0.190653 | + | 0.405159i | ||||
\(929\) | −20.7835 | + | 19.5170i | −0.681885 | + | 0.640332i | −0.946003 | − | 0.324158i | \(-0.894919\pi\) |
0.264118 | + | 0.964490i | \(0.414919\pi\) | |||||||
\(930\) | 3.89134 | + | 5.10972i | 0.127602 | + | 0.167554i | ||||
\(931\) | −22.9327 | − | 2.89707i | −0.751588 | − | 0.0949477i | ||||
\(932\) | −18.6229 | −0.610015 | ||||||||
\(933\) | −2.94272 | − | 0.371752i | −0.0963403 | − | 0.0121706i | ||||
\(934\) | −8.11889 | + | 9.81405i | −0.265658 | + | 0.321126i | ||||
\(935\) | −26.0064 | + | 28.9758i | −0.850500 | + | 0.947610i | ||||
\(936\) | 0.889243 | + | 14.1341i | 0.0290658 | + | 0.461988i | ||||
\(937\) | 15.1276 | − | 3.88410i | 0.494196 | − | 0.126888i | 0.00663687 | − | 0.999978i | \(-0.497887\pi\) |
0.487559 | + | 0.873090i | \(0.337887\pi\) | |||||||
\(938\) | −17.4116 | + | 4.47054i | −0.568509 | + | 0.145968i | ||||
\(939\) | 0.306617 | + | 4.87353i | 0.0100061 | + | 0.159042i | ||||
\(940\) | −8.57409 | + | 9.55308i | −0.279656 | + | 0.311587i | ||||
\(941\) | 23.0918 | − | 27.9132i | 0.752771 | − | 0.909943i | −0.245460 | − | 0.969407i | \(-0.578939\pi\) |
0.998230 | + | 0.0594634i | \(0.0189390\pi\) | |||||||
\(942\) | −4.85362 | − | 0.613155i | −0.158140 | − | 0.0199777i | ||||
\(943\) | −27.5981 | −0.898718 | ||||||||
\(944\) | 1.55757 | + | 0.196767i | 0.0506946 | + | 0.00640422i | ||||
\(945\) | 10.7954 | + | 14.1754i | 0.351173 | + | 0.461125i | ||||
\(946\) | −26.4138 | + | 24.8042i | −0.858785 | + | 0.806453i | ||||
\(947\) | 9.49865 | + | 20.1857i | 0.308665 | + | 0.655946i | 0.997627 | − | 0.0688516i | \(-0.0219335\pi\) |
−0.688962 | + | 0.724797i | \(0.741933\pi\) | |||||||
\(948\) | 3.00015 | + | 3.62656i | 0.0974403 | + | 0.117785i | ||||
\(949\) | −3.52956 | − | 10.8629i | −0.114575 | − | 0.352624i | ||||
\(950\) | 9.99914 | + | 4.92393i | 0.324415 | + | 0.159753i | ||||
\(951\) | −2.85600 | + | 8.78986i | −0.0926121 | + | 0.285031i | ||||
\(952\) | 31.2442 | − | 12.3704i | 1.01263 | − | 0.400928i | ||||
\(953\) | −21.6218 | + | 20.3042i | −0.700399 | + | 0.657718i | −0.950580 | − | 0.310481i | \(-0.899510\pi\) |
0.250181 | + | 0.968199i | \(0.419510\pi\) | |||||||
\(954\) | 3.18515 | − | 16.6971i | 0.103123 | − | 0.540590i | ||||
\(955\) | −2.84635 | + | 27.5030i | −0.0921058 | + | 0.889977i | ||||
\(956\) | −10.4544 | − | 9.81737i | −0.338121 | − | 0.317517i | ||||
\(957\) | −1.59462 | + | 4.90774i | −0.0515468 | + | 0.158645i | ||||
\(958\) | −1.54050 | − | 8.07560i | −0.0497714 | − | 0.260911i | ||||
\(959\) | 3.38152 | − | 53.7477i | 0.109195 | − | 1.73560i | ||||
\(960\) | 3.95481 | − | 1.97105i | 0.127641 | − | 0.0636154i | ||||
\(961\) | 29.7028 | − | 46.8041i | 0.958154 | − | 1.50981i | ||||
\(962\) | 0.0470466 | − | 0.747784i | 0.00151684 | − | 0.0241095i | ||||
\(963\) | −4.69150 | − | 7.39262i | −0.151182 | − | 0.238224i | ||||
\(964\) | −10.0562 | − | 12.1559i | −0.323889 | − | 0.391515i | ||||
\(965\) | 39.5042 | − | 26.3374i | 1.27169 | − | 0.847832i | ||||
\(966\) | −4.36370 | + | 1.12041i | −0.140400 | + | 0.0360485i | ||||
\(967\) | −4.23855 | + | 9.00738i | −0.136303 | + | 0.289658i | −0.961312 | − | 0.275461i | \(-0.911170\pi\) |
0.825010 | + | 0.565119i | \(0.191170\pi\) | |||||||
\(968\) | 24.4731 | + | 75.3204i | 0.786594 | + | 2.42089i | ||||
\(969\) | −1.95753 | + | 1.07616i | −0.0628849 | + | 0.0345713i | ||||
\(970\) | −2.45577 | + | 1.22394i | −0.0788499 | + | 0.0392983i | ||||
\(971\) | 42.8776 | − | 5.41671i | 1.37601 | − | 0.173830i | 0.597704 | − | 0.801717i | \(-0.296080\pi\) |
0.778305 | + | 0.627886i | \(0.216080\pi\) | |||||||
\(972\) | 9.55052 | − | 1.20651i | 0.306333 | − | 0.0386989i | ||||
\(973\) | −1.18236 | + | 1.86311i | −0.0379048 | + | 0.0597285i | ||||
\(974\) | −29.1113 | − | 21.1506i | −0.932785 | − | 0.677708i | ||||
\(975\) | 1.59455 | + | 2.27872i | 0.0510665 | + | 0.0729773i | ||||
\(976\) | 2.82825 | − | 2.05485i | 0.0905302 | − | 0.0657740i | ||||
\(977\) | 1.48365 | + | 23.5819i | 0.0474660 | + | 0.754451i | 0.947723 | + | 0.319093i | \(0.103378\pi\) |
−0.900257 | + | 0.435358i | \(0.856622\pi\) | |||||||
\(978\) | 1.19432 | + | 0.656582i | 0.0381901 | + | 0.0209952i | ||||
\(979\) | −2.16082 | − | 4.59199i | −0.0690603 | − | 0.146761i | ||||
\(980\) | 5.54375 | − | 23.8066i | 0.177088 | − | 0.760473i | ||||
\(981\) | 1.10677 | + | 5.80190i | 0.0353365 | + | 0.185240i | ||||
\(982\) | −15.2743 | − | 11.0974i | −0.487422 | − | 0.354133i | ||||
\(983\) | 33.3175 | − | 18.3165i | 1.06266 | − | 0.584205i | 0.148236 | − | 0.988952i | \(-0.452641\pi\) |
0.914428 | + | 0.404748i | \(0.132641\pi\) | |||||||
\(984\) | −4.00458 | − | 6.31020i | −0.127661 | − | 0.201162i | ||||
\(985\) | −22.6699 | − | 13.6800i | −0.722323 | − | 0.435882i | ||||
\(986\) | −6.16488 | + | 2.44085i | −0.196330 | + | 0.0777325i | ||||
\(987\) | 6.38641 | + | 2.52856i | 0.203282 | + | 0.0804849i | ||||
\(988\) | −2.89244 | + | 3.49636i | −0.0920208 | + | 0.111234i | ||||
\(989\) | −21.7719 | − | 5.59006i | −0.692305 | − | 0.177754i | ||||
\(990\) | −35.6384 | − | 10.6979i | −1.13266 | − | 0.340001i | ||||
\(991\) | 6.67915 | + | 2.64446i | 0.212170 | + | 0.0840041i | 0.471806 | − | 0.881703i | \(-0.343602\pi\) |
−0.259635 | + | 0.965707i | \(0.583602\pi\) | |||||||
\(992\) | −36.6562 | − | 34.4225i | −1.16384 | − | 1.09291i | ||||
\(993\) | 2.22973 | − | 1.61999i | 0.0707584 | − | 0.0514090i | ||||
\(994\) | −10.5011 | + | 22.3160i | −0.333075 | + | 0.707821i | ||||
\(995\) | −8.32913 | − | 6.57999i | −0.264051 | − | 0.208600i | ||||
\(996\) | −5.90545 | − | 3.24655i | −0.187121 | − | 0.102871i | ||||
\(997\) | −7.82553 | + | 41.0229i | −0.247837 | + | 1.29921i | 0.612901 | + | 0.790160i | \(0.290002\pi\) |
−0.860738 | + | 0.509048i | \(0.829998\pi\) | |||||||
\(998\) | −28.2809 | − | 7.26130i | −0.895216 | − | 0.229853i | ||||
\(999\) | −0.934325 | −0.0295607 |
(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 | 125.2.g.a.6.5 | ✓ | 220 | |
5.2 | odd | 4 | 625.2.h.b.349.15 | 440 | |||
5.3 | odd | 4 | 625.2.h.b.349.8 | 440 | |||
5.4 | even | 2 | 625.2.g.a.276.7 | 220 | |||
125.21 | even | 25 | inner | 125.2.g.a.21.5 | yes | 220 | |
125.53 | odd | 100 | 625.2.h.b.274.15 | 440 | |||
125.72 | odd | 100 | 625.2.h.b.274.8 | 440 | |||
125.104 | even | 50 | 625.2.g.a.351.7 | 220 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
125.2.g.a.6.5 | ✓ | 220 | 1.1 | even | 1 | trivial | |
125.2.g.a.21.5 | yes | 220 | 125.21 | even | 25 | inner | |
625.2.g.a.276.7 | 220 | 5.4 | even | 2 | |||
625.2.g.a.351.7 | 220 | 125.104 | even | 50 | |||
625.2.h.b.274.8 | 440 | 125.72 | odd | 100 | |||
625.2.h.b.274.15 | 440 | 125.53 | odd | 100 | |||
625.2.h.b.349.8 | 440 | 5.3 | odd | 4 | |||
625.2.h.b.349.15 | 440 | 5.2 | odd | 4 |