Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,2,Mod(103,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.bj (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.01223013094\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 103.1 | ||
Character | \(\chi\) | \(=\) | 252.103 |
Dual form | 252.2.bj.b.115.2 |
$q$-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 \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41404 | − | 0.0221477i | −0.999877 | − | 0.0156608i | ||||
\(3\) | 0.799650 | + | 1.53641i | 0.461678 | + | 0.887048i | ||||
\(4\) | 1.99902 | + | 0.0626353i | 0.999509 | + | 0.0313177i | ||||
\(5\) | −2.43207 | + | 1.40416i | −1.08765 | + | 0.627958i | −0.932951 | − | 0.360003i | \(-0.882776\pi\) |
−0.154703 | + | 0.987961i | \(0.549442\pi\) | |||||||
\(6\) | −1.09671 | − | 2.19026i | −0.447730 | − | 0.894169i | ||||
\(7\) | −2.50476 | − | 0.852161i | −0.946710 | − | 0.322087i | ||||
\(8\) | −2.82531 | − | 0.132842i | −0.998896 | − | 0.0469669i | ||||
\(9\) | −1.72112 | + | 2.45718i | −0.573707 | + | 0.819061i | ||||
\(10\) | 3.47014 | − | 1.93167i | 1.09736 | − | 0.610847i | ||||
\(11\) | −3.24154 | − | 1.87151i | −0.977362 | − | 0.564280i | −0.0758895 | − | 0.997116i | \(-0.524180\pi\) |
−0.901473 | + | 0.432836i | \(0.857513\pi\) | |||||||
\(12\) | 1.50228 | + | 3.12140i | 0.433671 | + | 0.901071i | ||||
\(13\) | −0.529793 | − | 0.305876i | −0.146938 | − | 0.0848348i | 0.424728 | − | 0.905321i | \(-0.360370\pi\) |
−0.571667 | + | 0.820486i | \(0.693703\pi\) | |||||||
\(14\) | 3.52296 | + | 1.26046i | 0.941550 | + | 0.336873i | ||||
\(15\) | −4.10216 | − | 2.61383i | −1.05917 | − | 0.674887i | ||||
\(16\) | 3.99215 | + | 0.250418i | 0.998038 | + | 0.0626046i | ||||
\(17\) | 3.82616 | − | 2.20903i | 0.927980 | − | 0.535770i | 0.0418081 | − | 0.999126i | \(-0.486688\pi\) |
0.886172 | + | 0.463356i | \(0.153355\pi\) | |||||||
\(18\) | 2.48815 | − | 3.43644i | 0.586463 | − | 0.809976i | ||||
\(19\) | 0.594752 | − | 1.03014i | 0.136445 | − | 0.236330i | −0.789703 | − | 0.613489i | \(-0.789765\pi\) |
0.926149 | + | 0.377159i | \(0.123099\pi\) | |||||||
\(20\) | −4.94970 | + | 2.65460i | −1.10679 | + | 0.593587i | ||||
\(21\) | −0.693661 | − | 4.52977i | −0.151369 | − | 0.988477i | ||||
\(22\) | 4.54222 | + | 2.71818i | 0.968405 | + | 0.579517i | ||||
\(23\) | −6.22464 | + | 3.59380i | −1.29793 | + | 0.749359i | −0.980046 | − | 0.198771i | \(-0.936305\pi\) |
−0.317882 | + | 0.948130i | \(0.602972\pi\) | |||||||
\(24\) | −2.05515 | − | 4.44706i | −0.419507 | − | 0.907752i | ||||
\(25\) | 1.44331 | − | 2.49988i | 0.288661 | − | 0.499976i | ||||
\(26\) | 0.742374 | + | 0.444255i | 0.145592 | + | 0.0871256i | ||||
\(27\) | −5.15154 | − | 0.679462i | −0.991414 | − | 0.130763i | ||||
\(28\) | −4.95369 | − | 1.86037i | −0.936159 | − | 0.351577i | ||||
\(29\) | 4.31175 | + | 7.46818i | 0.800673 | + | 1.38681i | 0.919174 | + | 0.393852i | \(0.128858\pi\) |
−0.118501 | + | 0.992954i | \(0.537809\pi\) | |||||||
\(30\) | 5.74274 | + | 3.78691i | 1.04848 | + | 0.691392i | ||||
\(31\) | −4.01196 | −0.720569 | −0.360284 | − | 0.932843i | \(-0.617320\pi\) | ||||
−0.360284 | + | 0.932843i | \(0.617320\pi\) | |||||||
\(32\) | −5.63952 | − | 0.442519i | −0.996936 | − | 0.0782270i | ||||
\(33\) | 0.283303 | − | 6.47689i | 0.0493167 | − | 1.12748i | ||||
\(34\) | −5.45927 | + | 3.03892i | −0.936257 | + | 0.521171i | ||||
\(35\) | 7.28832 | − | 1.44456i | 1.23195 | − | 0.244175i | ||||
\(36\) | −3.59446 | + | 4.80415i | −0.599076 | + | 0.800692i | ||||
\(37\) | −4.72127 | + | 8.17748i | −0.776172 | + | 1.34437i | 0.157962 | + | 0.987445i | \(0.449508\pi\) |
−0.934134 | + | 0.356923i | \(0.883826\pi\) | |||||||
\(38\) | −0.863818 | + | 1.44349i | −0.140130 | + | 0.234165i | ||||
\(39\) | 0.0463026 | − | 1.05857i | 0.00741436 | − | 0.169508i | ||||
\(40\) | 7.05787 | − | 3.64409i | 1.11595 | − | 0.576181i | ||||
\(41\) | −3.44593 | − | 1.98951i | −0.538163 | − | 0.310709i | 0.206171 | − | 0.978516i | \(-0.433900\pi\) |
−0.744334 | + | 0.667807i | \(0.767233\pi\) | |||||||
\(42\) | 0.880541 | + | 6.42064i | 0.135870 | + | 0.990727i | ||||
\(43\) | −1.57801 | + | 0.911063i | −0.240644 | + | 0.138936i | −0.615473 | − | 0.788158i | \(-0.711035\pi\) |
0.374829 | + | 0.927094i | \(0.377701\pi\) | |||||||
\(44\) | −6.36269 | − | 3.94421i | −0.959211 | − | 0.594612i | ||||
\(45\) | 0.735615 | − | 8.39276i | 0.109659 | − | 1.25112i | ||||
\(46\) | 8.88149 | − | 4.94392i | 1.30950 | − | 0.728941i | ||||
\(47\) | −2.42258 | −0.353370 | −0.176685 | − | 0.984267i | \(-0.556537\pi\) | ||||
−0.176685 | + | 0.984267i | \(0.556537\pi\) | |||||||
\(48\) | 2.80758 | + | 6.33384i | 0.405239 | + | 0.914211i | ||||
\(49\) | 5.54764 | + | 4.26892i | 0.792520 | + | 0.609845i | ||||
\(50\) | −2.09626 | + | 3.50297i | −0.296456 | + | 0.495394i | ||||
\(51\) | 6.45358 | + | 4.11210i | 0.903681 | + | 0.575809i | ||||
\(52\) | −1.03991 | − | 0.644636i | −0.144209 | − | 0.0893949i | ||||
\(53\) | 0.171887 | + | 0.297717i | 0.0236105 | + | 0.0408946i | 0.877589 | − | 0.479413i | \(-0.159151\pi\) |
−0.853979 | + | 0.520308i | \(0.825817\pi\) | |||||||
\(54\) | 7.26943 | + | 1.07488i | 0.989244 | + | 0.146273i | ||||
\(55\) | 10.5115 | 1.41738 | ||||||||
\(56\) | 6.96351 | + | 2.74035i | 0.930538 | + | 0.366195i | ||||
\(57\) | 2.05831 | + | 0.0900318i | 0.272630 | + | 0.0119250i | ||||
\(58\) | −5.93159 | − | 10.6558i | −0.778856 | − | 1.39917i | ||||
\(59\) | 13.0246 | 1.69566 | 0.847830 | − | 0.530268i | \(-0.177909\pi\) | ||||
0.847830 | + | 0.530268i | \(0.177909\pi\) | |||||||
\(60\) | −8.03659 | − | 5.48203i | −1.03752 | − | 0.707727i | ||||
\(61\) | 2.17427i | 0.278387i | 0.990265 | + | 0.139193i | \(0.0444510\pi\) | ||||
−0.990265 | + | 0.139193i | \(0.955549\pi\) | |||||||
\(62\) | 5.67307 | + | 0.0888554i | 0.720480 | + | 0.0112847i | ||||
\(63\) | 6.40491 | − | 4.68798i | 0.806942 | − | 0.590630i | ||||
\(64\) | 7.96471 | + | 0.750641i | 0.995588 | + | 0.0938301i | ||||
\(65\) | 1.71799 | 0.213091 | ||||||||
\(66\) | −0.544050 | + | 9.15231i | −0.0669679 | + | 1.12657i | ||||
\(67\) | 14.7149i | 1.79771i | 0.438243 | + | 0.898856i | \(0.355601\pi\) | ||||
−0.438243 | + | 0.898856i | \(0.644399\pi\) | |||||||
\(68\) | 7.78693 | − | 4.17625i | 0.944304 | − | 0.506445i | ||||
\(69\) | −10.4991 | − | 6.68983i | −1.26394 | − | 0.805361i | ||||
\(70\) | −10.3380 | + | 1.88124i | −1.23562 | + | 0.224852i | ||||
\(71\) | − | 5.36830i | − | 0.637100i | −0.947906 | − | 0.318550i | \(-0.896804\pi\) | ||
0.947906 | − | 0.318550i | \(-0.103196\pi\) | |||||||
\(72\) | 5.18911 | − | 6.71365i | 0.611542 | − | 0.791212i | ||||
\(73\) | −1.51244 | + | 0.873205i | −0.177017 | + | 0.102201i | −0.585890 | − | 0.810390i | \(-0.699255\pi\) |
0.408873 | + | 0.912591i | \(0.365922\pi\) | |||||||
\(74\) | 6.85717 | − | 11.4587i | 0.797130 | − | 1.33205i | ||||
\(75\) | 4.99499 | + | 0.218484i | 0.576771 | + | 0.0252283i | ||||
\(76\) | 1.25344 | − | 2.02202i | 0.143780 | − | 0.231941i | ||||
\(77\) | 6.52446 | + | 7.44999i | 0.743532 | + | 0.849005i | ||||
\(78\) | −0.0889187 | + | 1.49584i | −0.0100681 | + | 0.169371i | ||||
\(79\) | − | 9.86194i | − | 1.10955i | −0.831999 | − | 0.554777i | \(-0.812803\pi\) | ||
0.831999 | − | 0.554777i | \(-0.187197\pi\) | |||||||
\(80\) | −10.0608 | + | 4.99657i | −1.12483 | + | 0.558634i | ||||
\(81\) | −3.07549 | − | 8.45821i | −0.341721 | − | 0.939801i | ||||
\(82\) | 4.82861 | + | 2.88956i | 0.533231 | + | 0.319099i | ||||
\(83\) | 2.17733 | + | 3.77124i | 0.238993 | + | 0.413947i | 0.960425 | − | 0.278537i | \(-0.0898495\pi\) |
−0.721433 | + | 0.692484i | \(0.756516\pi\) | |||||||
\(84\) | −1.10292 | − | 9.09855i | −0.120338 | − | 0.992733i | ||||
\(85\) | −6.20366 | + | 10.7451i | −0.672881 | + | 1.16546i | ||||
\(86\) | 2.25154 | − | 1.25333i | 0.242790 | − | 0.135150i | ||||
\(87\) | −8.02630 | + | 12.5966i | −0.860510 | + | 1.35049i | ||||
\(88\) | 8.90974 | + | 5.71819i | 0.949781 | + | 0.609561i | ||||
\(89\) | 0.865286 | + | 0.499573i | 0.0917201 | + | 0.0529546i | 0.545159 | − | 0.838333i | \(-0.316469\pi\) |
−0.453438 | + | 0.891288i | \(0.649803\pi\) | |||||||
\(90\) | −1.22607 | + | 11.8514i | −0.129239 | + | 1.24925i | ||||
\(91\) | 1.06635 | + | 1.21762i | 0.111784 | + | 0.127641i | ||||
\(92\) | −12.6683 | + | 6.79419i | −1.32076 | + | 0.708343i | ||||
\(93\) | −3.20816 | − | 6.16402i | −0.332671 | − | 0.639179i | ||||
\(94\) | 3.42563 | + | 0.0536546i | 0.353327 | + | 0.00553405i | ||||
\(95\) | 3.34050i | 0.342728i | ||||||||
\(96\) | −3.82975 | − | 9.01848i | −0.390872 | − | 0.920445i | ||||
\(97\) | −5.76933 | + | 3.33092i | −0.585787 | + | 0.338204i | −0.763430 | − | 0.645891i | \(-0.776486\pi\) |
0.177643 | + | 0.984095i | \(0.443153\pi\) | |||||||
\(98\) | −7.75004 | − | 6.15929i | −0.782873 | − | 0.622182i | ||||
\(99\) | 10.1777 | − | 4.74398i | 1.02290 | − | 0.476788i | ||||
\(100\) | 3.04178 | − | 4.90691i | 0.304178 | − | 0.490691i | ||||
\(101\) | 6.16610 | + | 3.56000i | 0.613550 | + | 0.354233i | 0.774354 | − | 0.632753i | \(-0.218075\pi\) |
−0.160803 | + | 0.986986i | \(0.551408\pi\) | |||||||
\(102\) | −9.03454 | − | 5.95761i | −0.894553 | − | 0.589891i | ||||
\(103\) | −5.36564 | − | 9.29356i | −0.528692 | − | 0.915721i | −0.999440 | − | 0.0334538i | \(-0.989349\pi\) |
0.470748 | − | 0.882268i | \(-0.343984\pi\) | |||||||
\(104\) | 1.45619 | + | 0.934573i | 0.142792 | + | 0.0916424i | ||||
\(105\) | 8.04754 | + | 10.0427i | 0.785359 | + | 0.980068i | ||||
\(106\) | −0.236461 | − | 0.424790i | −0.0229671 | − | 0.0412593i | ||||
\(107\) | −12.5172 | − | 7.22680i | −1.21008 | − | 0.698641i | −0.247305 | − | 0.968938i | \(-0.579545\pi\) |
−0.962777 | + | 0.270296i | \(0.912878\pi\) | |||||||
\(108\) | −10.2555 | − | 1.68093i | −0.986832 | − | 0.161747i | ||||
\(109\) | 0.384805 | + | 0.666502i | 0.0368577 | + | 0.0638394i | 0.883866 | − | 0.467741i | \(-0.154932\pi\) |
−0.847008 | + | 0.531580i | \(0.821599\pi\) | |||||||
\(110\) | −14.8637 | − | 0.232806i | −1.41720 | − | 0.0221972i | ||||
\(111\) | −16.3393 | − | 0.714692i | −1.55086 | − | 0.0678355i | ||||
\(112\) | −9.78599 | − | 4.02920i | −0.924689 | − | 0.380723i | ||||
\(113\) | 3.50852 | − | 6.07693i | 0.330054 | − | 0.571670i | −0.652468 | − | 0.757816i | \(-0.726266\pi\) |
0.982522 | + | 0.186146i | \(0.0595998\pi\) | |||||||
\(114\) | −2.90854 | − | 0.172895i | −0.272410 | − | 0.0161931i | ||||
\(115\) | 10.0925 | − | 17.4807i | 0.941131 | − | 1.63009i | ||||
\(116\) | 8.15151 | + | 15.1991i | 0.756848 | + | 1.41120i | ||||
\(117\) | 1.66343 | − | 0.775349i | 0.153784 | − | 0.0716810i | ||||
\(118\) | −18.4173 | − | 0.288464i | −1.69545 | − | 0.0265553i | ||||
\(119\) | −11.4661 | + | 2.27260i | −1.05109 | + | 0.208329i | ||||
\(120\) | 11.2426 | + | 7.92980i | 1.02631 | + | 0.723888i | ||||
\(121\) | 1.50507 | + | 2.60686i | 0.136825 | + | 0.236987i | ||||
\(122\) | 0.0481550 | − | 3.07450i | 0.00435975 | − | 0.278353i | ||||
\(123\) | 0.301166 | − | 6.88527i | 0.0271552 | − | 0.620824i | ||||
\(124\) | −8.01998 | − | 0.251290i | −0.720215 | − | 0.0225665i | ||||
\(125\) | − | 5.93505i | − | 0.530847i | ||||||
\(126\) | −9.16062 | + | 6.48714i | −0.816093 | + | 0.577920i | ||||
\(127\) | 17.0935i | 1.51680i | 0.651789 | + | 0.758401i | \(0.274019\pi\) | ||||
−0.651789 | + | 0.758401i | \(0.725981\pi\) | |||||||
\(128\) | −11.2458 | − | 1.23784i | −0.993997 | − | 0.109410i | ||||
\(129\) | −2.66162 | − | 1.69594i | −0.234343 | − | 0.149319i | ||||
\(130\) | −2.42931 | − | 0.0380495i | −0.213064 | − | 0.00333716i | ||||
\(131\) | 7.88249 | + | 13.6529i | 0.688696 | + | 1.19286i | 0.972260 | + | 0.233904i | \(0.0751500\pi\) |
−0.283563 | + | 0.958954i | \(0.591517\pi\) | |||||||
\(132\) | 0.972011 | − | 12.9297i | 0.0846027 | − | 1.12539i | ||||
\(133\) | −2.36756 | + | 2.07343i | −0.205293 | + | 0.179789i | ||||
\(134\) | 0.325901 | − | 20.8075i | 0.0281535 | − | 1.79749i | ||||
\(135\) | 13.4830 | − | 5.58106i | 1.16043 | − | 0.480341i | ||||
\(136\) | −11.1035 | + | 5.73292i | −0.952120 | + | 0.491594i | ||||
\(137\) | 1.50631 | − | 2.60900i | 0.128693 | − | 0.222902i | −0.794478 | − | 0.607293i | \(-0.792255\pi\) |
0.923170 | + | 0.384391i | \(0.125589\pi\) | |||||||
\(138\) | 14.6980 | + | 9.69222i | 1.25117 | + | 0.825057i | ||||
\(139\) | −1.85082 | + | 3.20571i | −0.156984 | + | 0.271905i | −0.933780 | − | 0.357848i | \(-0.883510\pi\) |
0.776796 | + | 0.629753i | \(0.216844\pi\) | |||||||
\(140\) | 14.6600 | − | 2.43119i | 1.23899 | − | 0.205473i | ||||
\(141\) | −1.93722 | − | 3.72209i | −0.163143 | − | 0.313456i | ||||
\(142\) | −0.118895 | + | 7.59099i | −0.00997746 | + | 0.637022i | ||||
\(143\) | 1.14490 | + | 1.98302i | 0.0957412 | + | 0.165829i | ||||
\(144\) | −7.48630 | + | 9.37845i | −0.623858 | + | 0.781538i | ||||
\(145\) | −20.9730 | − | 12.1088i | −1.74171 | − | 1.00558i | ||||
\(146\) | 2.15798 | − | 1.20125i | 0.178596 | − | 0.0994162i | ||||
\(147\) | −2.12264 | + | 11.9371i | −0.175073 | + | 0.984556i | ||||
\(148\) | −9.95010 | + | 16.0512i | −0.817893 | + | 1.31940i | ||||
\(149\) | 5.65016 | + | 9.78637i | 0.462880 | + | 0.801731i | 0.999103 | − | 0.0423452i | \(-0.0134829\pi\) |
−0.536224 | + | 0.844076i | \(0.680150\pi\) | |||||||
\(150\) | −7.05827 | − | 0.419572i | −0.576305 | − | 0.0342579i | ||||
\(151\) | 4.22994 | + | 2.44216i | 0.344228 | + | 0.198740i | 0.662140 | − | 0.749380i | \(-0.269648\pi\) |
−0.317912 | + | 0.948120i | \(0.602982\pi\) | |||||||
\(152\) | −1.81720 | + | 2.83145i | −0.147395 | + | 0.229661i | ||||
\(153\) | −1.15728 | + | 13.2036i | −0.0935605 | + | 1.06745i | ||||
\(154\) | −9.06085 | − | 10.6791i | −0.730144 | − | 0.860545i | ||||
\(155\) | 9.75736 | − | 5.63341i | 0.783730 | − | 0.452487i | ||||
\(156\) | 0.158864 | − | 2.11321i | 0.0127193 | − | 0.169192i | ||||
\(157\) | − | 11.6574i | − | 0.930366i | −0.885215 | − | 0.465183i | \(-0.845989\pi\) | ||
0.885215 | − | 0.465183i | \(-0.154011\pi\) | |||||||
\(158\) | −0.218419 | + | 13.9452i | −0.0173765 | + | 1.10942i | ||||
\(159\) | −0.319966 | + | 0.502158i | −0.0253750 | + | 0.0398237i | ||||
\(160\) | 14.3371 | − | 6.84253i | 1.13344 | − | 0.540949i | ||||
\(161\) | 18.6537 | − | 3.69721i | 1.47012 | − | 0.291381i | ||||
\(162\) | 4.16154 | + | 12.0284i | 0.326961 | + | 0.945038i | ||||
\(163\) | 8.82016 | + | 5.09232i | 0.690848 | + | 0.398861i | 0.803930 | − | 0.594724i | \(-0.202739\pi\) |
−0.113081 | + | 0.993586i | \(0.536072\pi\) | |||||||
\(164\) | −6.76386 | − | 4.19290i | −0.528168 | − | 0.327410i | ||||
\(165\) | 8.40556 | + | 16.1501i | 0.654372 | + | 1.25728i | ||||
\(166\) | −2.99530 | − | 5.38090i | −0.232480 | − | 0.417639i | ||||
\(167\) | 7.03763 | − | 12.1895i | 0.544588 | − | 0.943254i | −0.454045 | − | 0.890979i | \(-0.650019\pi\) |
0.998633 | − | 0.0522750i | \(-0.0166472\pi\) | |||||||
\(168\) | 1.35806 | + | 12.8901i | 0.104776 | + | 0.994496i | ||||
\(169\) | −6.31288 | − | 10.9342i | −0.485606 | − | 0.841094i | ||||
\(170\) | 9.01020 | − | 15.0565i | 0.691051 | − | 1.15478i | ||||
\(171\) | 1.50760 | + | 3.23441i | 0.115289 | + | 0.247342i | ||||
\(172\) | −3.21153 | + | 1.72239i | −0.244877 | + | 0.131331i | ||||
\(173\) | − | 15.9908i | − | 1.21576i | −0.794030 | − | 0.607878i | \(-0.792021\pi\) | ||
0.794030 | − | 0.607878i | \(-0.207979\pi\) | |||||||
\(174\) | 11.6285 | − | 17.6343i | 0.881554 | − | 1.33685i | ||||
\(175\) | −5.74544 | + | 5.03167i | −0.434314 | + | 0.380359i | ||||
\(176\) | −12.4721 | − | 8.28308i | −0.940119 | − | 0.624361i | ||||
\(177\) | 10.4151 | + | 20.0112i | 0.782849 | + | 1.50413i | ||||
\(178\) | −1.21248 | − | 0.725580i | −0.0908795 | − | 0.0543845i | ||||
\(179\) | −1.34673 | + | 0.777533i | −0.100659 | + | 0.0581156i | −0.549484 | − | 0.835504i | \(-0.685176\pi\) |
0.448825 | + | 0.893619i | \(0.351843\pi\) | |||||||
\(180\) | 1.99619 | − | 16.7312i | 0.148787 | − | 1.24707i | ||||
\(181\) | − | 11.7809i | − | 0.875665i | −0.899056 | − | 0.437833i | \(-0.855746\pi\) | ||
0.899056 | − | 0.437833i | \(-0.144254\pi\) | |||||||
\(182\) | −1.48089 | − | 1.74537i | −0.109771 | − | 0.129376i | ||||
\(183\) | −3.34057 | + | 1.73865i | −0.246942 | + | 0.128525i | ||||
\(184\) | 18.0639 | − | 9.32669i | 1.33169 | − | 0.687572i | ||||
\(185\) | − | 26.5176i | − | 1.94961i | ||||||
\(186\) | 4.39995 | + | 8.78722i | 0.322620 | + | 0.644310i | ||||
\(187\) | −16.5369 | −1.20930 | ||||||||
\(188\) | −4.84279 | − | 0.151739i | −0.353197 | − | 0.0110667i | ||||
\(189\) | 12.3244 | + | 6.09183i | 0.896465 | + | 0.443115i | ||||
\(190\) | 0.0739842 | − | 4.72360i | 0.00536738 | − | 0.342686i | ||||
\(191\) | 14.4891i | 1.04840i | 0.851596 | + | 0.524199i | \(0.175635\pi\) | ||||
−0.851596 | + | 0.524199i | \(0.824365\pi\) | |||||||
\(192\) | 5.21568 | + | 12.8373i | 0.376410 | + | 0.926453i | ||||
\(193\) | −9.21423 | −0.663254 | −0.331627 | − | 0.943410i | \(-0.607598\pi\) | ||||
−0.331627 | + | 0.943410i | \(0.607598\pi\) | |||||||
\(194\) | 8.23184 | − | 4.58228i | 0.591011 | − | 0.328989i | ||||
\(195\) | 1.37379 | + | 2.63954i | 0.0983793 | + | 0.189021i | ||||
\(196\) | 10.8225 | + | 8.88113i | 0.773033 | + | 0.634366i | ||||
\(197\) | −9.54933 | −0.680361 | −0.340181 | − | 0.940360i | \(-0.610488\pi\) | ||||
−0.340181 | + | 0.940360i | \(0.610488\pi\) | |||||||
\(198\) | −14.4968 | + | 6.48276i | −1.03024 | + | 0.460710i | ||||
\(199\) | −8.38058 | − | 14.5156i | −0.594084 | − | 1.02898i | −0.993675 | − | 0.112290i | \(-0.964181\pi\) |
0.399592 | − | 0.916693i | \(-0.369152\pi\) | |||||||
\(200\) | −4.40987 | + | 6.87120i | −0.311825 | + | 0.485867i | ||||
\(201\) | −22.6082 | + | 11.7668i | −1.59466 | + | 0.829965i | ||||
\(202\) | −8.64027 | − | 5.17055i | −0.607928 | − | 0.363799i | ||||
\(203\) | −4.43582 | − | 22.3803i | −0.311333 | − | 1.57079i | ||||
\(204\) | 12.6433 | + | 8.62439i | 0.885205 | + | 0.603828i | ||||
\(205\) | 11.1743 | 0.780447 | ||||||||
\(206\) | 7.38140 | + | 13.2603i | 0.514286 | + | 0.923889i | ||||
\(207\) | 1.88274 | − | 21.4804i | 0.130859 | − | 1.49299i | ||||
\(208\) | −2.03842 | − | 1.35377i | −0.141339 | − | 0.0938674i | ||||
\(209\) | −3.85583 | + | 2.22616i | −0.266713 | + | 0.153987i | ||||
\(210\) | −11.1571 | − | 14.3790i | −0.769914 | − | 0.992247i | ||||
\(211\) | −7.48353 | − | 4.32062i | −0.515187 | − | 0.297443i | 0.219776 | − | 0.975550i | \(-0.429467\pi\) |
−0.734963 | + | 0.678107i | \(0.762801\pi\) | |||||||
\(212\) | 0.324958 | + | 0.605908i | 0.0223182 | + | 0.0416139i | ||||
\(213\) | 8.24791 | − | 4.29276i | 0.565138 | − | 0.294135i | ||||
\(214\) | 17.5397 | + | 10.4962i | 1.19899 | + | 0.717506i | ||||
\(215\) | 2.55855 | − | 4.43153i | 0.174491 | − | 0.302228i | ||||
\(216\) | 14.4644 | + | 2.60403i | 0.984178 | + | 0.177182i | ||||
\(217\) | 10.0490 | + | 3.41883i | 0.682170 | + | 0.232086i | ||||
\(218\) | −0.529369 | − | 0.950984i | −0.0358534 | − | 0.0644087i | ||||
\(219\) | −2.55102 | − | 1.62546i | −0.172382 | − | 0.109839i | ||||
\(220\) | 21.0128 | + | 0.658394i | 1.41668 | + | 0.0443889i | ||||
\(221\) | −2.70276 | −0.181808 | ||||||||
\(222\) | 23.0886 | + | 1.37248i | 1.54961 | + | 0.0921148i | ||||
\(223\) | 9.83962 | + | 17.0427i | 0.658909 | + | 1.14126i | 0.980898 | + | 0.194521i | \(0.0623153\pi\) |
−0.321989 | + | 0.946743i | \(0.604351\pi\) | |||||||
\(224\) | 13.7485 | + | 5.91418i | 0.918613 | + | 0.395158i | ||||
\(225\) | 3.65856 | + | 7.84906i | 0.243904 | + | 0.523271i | ||||
\(226\) | −5.09578 | + | 8.51532i | −0.338966 | + | 0.566431i | ||||
\(227\) | −5.98741 | + | 10.3705i | −0.397398 | + | 0.688314i | −0.993404 | − | 0.114666i | \(-0.963420\pi\) |
0.596006 | + | 0.802980i | \(0.296754\pi\) | |||||||
\(228\) | 4.10897 | + | 0.308898i | 0.272123 | + | 0.0204573i | ||||
\(229\) | 2.37393 | − | 1.37059i | 0.156874 | − | 0.0905710i | −0.419508 | − | 0.907752i | \(-0.637797\pi\) |
0.576382 | + | 0.817181i | \(0.304464\pi\) | |||||||
\(230\) | −14.6584 | + | 24.4949i | −0.966544 | + | 1.61515i | ||||
\(231\) | −6.22896 | + | 15.9816i | −0.409836 | + | 1.05152i | ||||
\(232\) | −11.1899 | − | 21.6727i | −0.734655 | − | 1.42288i | ||||
\(233\) | −8.10740 | + | 14.0424i | −0.531133 | + | 0.919950i | 0.468206 | + | 0.883619i | \(0.344900\pi\) |
−0.999340 | + | 0.0363310i | \(0.988433\pi\) | |||||||
\(234\) | −2.36933 | + | 1.05953i | −0.154888 | + | 0.0692639i | ||||
\(235\) | 5.89189 | − | 3.40169i | 0.384345 | − | 0.221902i | ||||
\(236\) | 26.0364 | + | 0.815801i | 1.69483 | + | 0.0531041i | ||||
\(237\) | 15.1520 | − | 7.88610i | 0.984228 | − | 0.512257i | ||||
\(238\) | 16.2638 | − | 2.95960i | 1.05423 | − | 0.191842i | ||||
\(239\) | 3.45217 | + | 1.99311i | 0.223302 | + | 0.128924i | 0.607478 | − | 0.794336i | \(-0.292181\pi\) |
−0.384176 | + | 0.923260i | \(0.625514\pi\) | |||||||
\(240\) | −15.7219 | − | 11.4621i | −1.01485 | − | 0.739872i | ||||
\(241\) | 9.73779 | + | 5.62211i | 0.627266 | + | 0.362152i | 0.779692 | − | 0.626163i | \(-0.215375\pi\) |
−0.152426 | + | 0.988315i | \(0.548709\pi\) | |||||||
\(242\) | −2.07050 | − | 3.71954i | −0.133096 | − | 0.239101i | ||||
\(243\) | 10.5360 | − | 11.4888i | 0.675883 | − | 0.737009i | ||||
\(244\) | −0.136186 | + | 4.34641i | −0.00871842 | + | 0.278250i | ||||
\(245\) | −19.4865 | − | 2.59255i | −1.24495 | − | 0.165632i | ||||
\(246\) | −0.578353 | + | 9.72937i | −0.0368744 | + | 0.620322i | ||||
\(247\) | −0.630191 | + | 0.363841i | −0.0400981 | + | 0.0231506i | ||||
\(248\) | 11.3350 | + | 0.532958i | 0.719774 | + | 0.0338429i | ||||
\(249\) | −4.05308 | + | 6.36094i | −0.256853 | + | 0.403108i | ||||
\(250\) | −0.131447 | + | 8.39240i | −0.00831346 | + | 0.530782i | ||||
\(251\) | −10.3057 | −0.650492 | −0.325246 | − | 0.945629i | \(-0.605447\pi\) | ||||
−0.325246 | + | 0.945629i | \(0.605447\pi\) | |||||||
\(252\) | 13.0972 | − | 8.97019i | 0.825044 | − | 0.565069i | ||||
\(253\) | 26.9033 | 1.69139 | ||||||||
\(254\) | 0.378580 | − | 24.1709i | 0.0237543 | − | 1.51662i | ||||
\(255\) | −21.4696 | − | 0.939091i | −1.34448 | − | 0.0588082i | ||||
\(256\) | 15.8746 | + | 1.99942i | 0.992161 | + | 0.124964i | ||||
\(257\) | −20.9853 | + | 12.1158i | −1.30902 | + | 0.755766i | −0.981933 | − | 0.189227i | \(-0.939402\pi\) |
−0.327091 | + | 0.944993i | \(0.606068\pi\) | |||||||
\(258\) | 3.72608 | + | 2.45707i | 0.231975 | + | 0.152971i | ||||
\(259\) | 18.7942 | − | 16.4593i | 1.16781 | − | 1.02273i | ||||
\(260\) | 3.43430 | + | 0.107607i | 0.212986 | + | 0.00667350i | ||||
\(261\) | −25.7717 | − | 2.25886i | −1.59523 | − | 0.139820i | ||||
\(262\) | −10.8438 | − | 19.4803i | −0.669931 | − | 1.20350i | ||||
\(263\) | 6.38149 | + | 3.68435i | 0.393499 | + | 0.227187i | 0.683675 | − | 0.729786i | \(-0.260380\pi\) |
−0.290176 | + | 0.956973i | \(0.593714\pi\) | |||||||
\(264\) | −1.66082 | + | 18.2616i | −0.102217 | + | 1.12392i | ||||
\(265\) | −0.836082 | − | 0.482712i | −0.0513601 | − | 0.0296528i | ||||
\(266\) | 3.39374 | − | 2.87948i | 0.208084 | − | 0.176552i | ||||
\(267\) | −0.0756239 | + | 1.72892i | −0.00462811 | + | 0.105808i | ||||
\(268\) | −0.921673 | + | 29.4154i | −0.0563002 | + | 1.79683i | ||||
\(269\) | −26.6977 | + | 15.4139i | −1.62778 | + | 0.939802i | −0.643032 | + | 0.765839i | \(0.722324\pi\) |
−0.984752 | + | 0.173963i | \(0.944343\pi\) | |||||||
\(270\) | −19.1891 | + | 7.59323i | −1.16781 | + | 0.462109i | ||||
\(271\) | −9.52600 | + | 16.4995i | −0.578664 | + | 1.00227i | 0.416969 | + | 0.908920i | \(0.363092\pi\) |
−0.995633 | + | 0.0933541i | \(0.970241\pi\) | |||||||
\(272\) | 15.8278 | − | 7.86067i | 0.959702 | − | 0.476623i | ||||
\(273\) | −1.01805 | + | 2.61202i | −0.0616154 | + | 0.158086i | ||||
\(274\) | −2.18776 | + | 3.65587i | −0.132168 | + | 0.220859i | ||||
\(275\) | −9.35708 | + | 5.40232i | −0.564253 | + | 0.325772i | ||||
\(276\) | −20.5689 | − | 14.0307i | −1.23810 | − | 0.844550i | ||||
\(277\) | 0.125651 | − | 0.217634i | 0.00754964 | − | 0.0130764i | −0.862226 | − | 0.506524i | \(-0.830930\pi\) |
0.869776 | + | 0.493448i | \(0.164264\pi\) | |||||||
\(278\) | 2.68813 | − | 4.49201i | 0.161223 | − | 0.269413i | ||||
\(279\) | 6.90506 | − | 9.85811i | 0.413395 | − | 0.590190i | ||||
\(280\) | −20.7836 | + | 3.11312i | −1.24206 | + | 0.186045i | ||||
\(281\) | −5.87455 | − | 10.1750i | −0.350447 | − | 0.606991i | 0.635881 | − | 0.771787i | \(-0.280637\pi\) |
−0.986328 | + | 0.164796i | \(0.947304\pi\) | |||||||
\(282\) | 2.65687 | + | 5.30608i | 0.158214 | + | 0.315973i | ||||
\(283\) | −8.70892 | −0.517692 | −0.258846 | − | 0.965919i | \(-0.583342\pi\) | ||||
−0.258846 | + | 0.965919i | \(0.583342\pi\) | |||||||
\(284\) | 0.336245 | − | 10.7313i | 0.0199525 | − | 0.636787i | ||||
\(285\) | −5.13238 | + | 2.67123i | −0.304016 | + | 0.158230i | ||||
\(286\) | −1.57501 | − | 2.82943i | −0.0931325 | − | 0.167308i | ||||
\(287\) | 6.93584 | + | 7.91972i | 0.409409 | + | 0.467486i | ||||
\(288\) | 10.7936 | − | 13.0957i | 0.636021 | − | 0.771672i | ||||
\(289\) | 1.25967 | − | 2.18181i | 0.0740983 | − | 0.128342i | ||||
\(290\) | 29.3884 | + | 17.5868i | 1.72575 | + | 1.03273i | ||||
\(291\) | −9.73111 | − | 6.20049i | −0.570448 | − | 0.363479i | ||||
\(292\) | −3.07808 | + | 1.65082i | −0.180131 | + | 0.0966070i | ||||
\(293\) | 10.0622 | + | 5.80944i | 0.587842 | + | 0.339391i | 0.764244 | − | 0.644927i | \(-0.223112\pi\) |
−0.176402 | + | 0.984318i | \(0.556446\pi\) | |||||||
\(294\) | 3.26588 | − | 16.8325i | 0.190470 | − | 0.981693i | ||||
\(295\) | −31.6767 | + | 18.2886i | −1.84429 | + | 1.06480i | ||||
\(296\) | 14.4253 | − | 22.4767i | 0.838456 | − | 1.30643i | ||||
\(297\) | 15.4273 | + | 11.8436i | 0.895184 | + | 0.687238i | ||||
\(298\) | −7.77281 | − | 13.9635i | −0.450267 | − | 0.808882i | ||||
\(299\) | 4.39703 | 0.254287 | ||||||||
\(300\) | 9.97139 | + | 0.749615i | 0.575698 | + | 0.0432791i | ||||
\(301\) | 4.72890 | − | 0.937277i | 0.272569 | − | 0.0540237i | ||||
\(302\) | −5.92722 | − | 3.54699i | −0.341073 | − | 0.204106i | ||||
\(303\) | −0.538903 | + | 12.3204i | −0.0309591 | + | 0.707790i | ||||
\(304\) | 2.63231 | − | 3.96354i | 0.150973 | − | 0.227325i | ||||
\(305\) | −3.05301 | − | 5.28797i | −0.174815 | − | 0.302789i | ||||
\(306\) | 1.92887 | − | 18.6448i | 0.110266 | − | 1.06585i | ||||
\(307\) | 23.8074 | 1.35876 | 0.679380 | − | 0.733787i | \(-0.262249\pi\) | ||||
0.679380 | + | 0.733787i | \(0.262249\pi\) | |||||||
\(308\) | 12.5759 | + | 15.3013i | 0.716578 | + | 0.871875i | ||||
\(309\) | 9.98809 | − | 15.6754i | 0.568203 | − | 0.891743i | ||||
\(310\) | −13.9221 | + | 7.74977i | −0.790720 | + | 0.440157i | ||||
\(311\) | −23.9640 | −1.35887 | −0.679436 | − | 0.733734i | \(-0.737776\pi\) | ||||
−0.679436 | + | 0.733734i | \(0.737776\pi\) | |||||||
\(312\) | −0.271443 | + | 2.98464i | −0.0153674 | + | 0.168972i | ||||
\(313\) | 10.3095i | 0.582728i | 0.956612 | + | 0.291364i | \(0.0941090\pi\) | ||||
−0.956612 | + | 0.291364i | \(0.905891\pi\) | |||||||
\(314\) | −0.258185 | + | 16.4841i | −0.0145702 | + | 0.930252i | ||||
\(315\) | −8.99452 | + | 20.3950i | −0.506784 | + | 1.14913i | ||||
\(316\) | 0.617706 | − | 19.7142i | 0.0347487 | − | 1.10901i | ||||
\(317\) | −12.7739 | −0.717451 | −0.358726 | − | 0.933443i | \(-0.616789\pi\) | ||||
−0.358726 | + | 0.933443i | \(0.616789\pi\) | |||||||
\(318\) | 0.463567 | − | 0.702985i | 0.0259955 | − | 0.0394215i | ||||
\(319\) | − | 32.2779i | − | 1.80722i | ||||||
\(320\) | −20.4247 | + | 9.35808i | −1.14178 | + | 0.523132i | ||||
\(321\) | 1.09397 | − | 25.0105i | 0.0610596 | − | 1.39595i | ||||
\(322\) | −26.4590 | + | 4.81486i | −1.47450 | + | 0.268322i | ||||
\(323\) | − | 5.25531i | − | 0.292413i | ||||||
\(324\) | −5.61818 | − | 17.1008i | −0.312121 | − | 0.950042i | ||||
\(325\) | −1.52931 | + | 0.882946i | −0.0848307 | + | 0.0489771i | ||||
\(326\) | −12.3593 | − | 7.39609i | −0.684517 | − | 0.409632i | ||||
\(327\) | −0.716312 | + | 1.12419i | −0.0396122 | + | 0.0621677i | ||||
\(328\) | 9.47150 | + | 6.07873i | 0.522976 | + | 0.335642i | ||||
\(329\) | 6.06799 | + | 2.06443i | 0.334539 | + | 0.113816i | ||||
\(330\) | −11.5281 | − | 23.0230i | −0.634601 | − | 1.26737i | ||||
\(331\) | − | 18.9845i | − | 1.04348i | −0.853104 | − | 0.521741i | \(-0.825283\pi\) | ||
0.853104 | − | 0.521741i | \(-0.174717\pi\) | |||||||
\(332\) | 4.11630 | + | 7.67515i | 0.225911 | + | 0.421229i | ||||
\(333\) | −11.9677 | − | 25.6754i | −0.655825 | − | 1.40700i | ||||
\(334\) | −10.2215 | + | 17.0806i | −0.559293 | + | 0.934610i | ||||
\(335\) | −20.6620 | − | 35.7877i | −1.12889 | − | 1.95529i | ||||
\(336\) | −1.63486 | − | 18.2573i | −0.0891891 | − | 0.996015i | ||||
\(337\) | 9.58901 | − | 16.6086i | 0.522347 | − | 0.904731i | −0.477315 | − | 0.878732i | \(-0.658390\pi\) |
0.999662 | − | 0.0259987i | \(-0.00827657\pi\) | |||||||
\(338\) | 8.68450 | + | 15.6013i | 0.472374 | + | 0.848596i | ||||
\(339\) | 12.1423 | + | 0.531109i | 0.659477 | + | 0.0288459i | ||||
\(340\) | −13.0743 | + | 21.0910i | −0.709051 | + | 1.14382i | ||||
\(341\) | 13.0049 | + | 7.50840i | 0.704257 | + | 0.406603i | ||||
\(342\) | −2.06018 | − | 4.60698i | −0.111402 | − | 0.249117i | ||||
\(343\) | −10.2577 | − | 15.4201i | −0.553864 | − | 0.832607i | ||||
\(344\) | 4.57938 | − | 2.36440i | 0.246904 | − | 0.127480i | ||||
\(345\) | 34.9281 | + | 1.52777i | 1.88046 | + | 0.0822526i | ||||
\(346\) | −0.354158 | + | 22.6116i | −0.0190397 | + | 1.21561i | ||||
\(347\) | 27.5615i | 1.47958i | 0.672839 | + | 0.739789i | \(0.265074\pi\) | ||||
−0.672839 | + | 0.739789i | \(0.734926\pi\) | |||||||
\(348\) | −16.8337 | + | 24.6780i | −0.902382 | + | 1.32288i | ||||
\(349\) | 15.9615 | − | 9.21538i | 0.854400 | − | 0.493288i | −0.00773296 | − | 0.999970i | \(-0.502462\pi\) |
0.862133 | + | 0.506682i | \(0.169128\pi\) | |||||||
\(350\) | 8.23572 | − | 6.98774i | 0.440218 | − | 0.373510i | ||||
\(351\) | 2.52142 | + | 1.93571i | 0.134583 | + | 0.103320i | ||||
\(352\) | 17.4526 | + | 11.9888i | 0.930225 | + | 0.639007i | ||||
\(353\) | 16.3377 | + | 9.43255i | 0.869566 | + | 0.502044i | 0.867204 | − | 0.497953i | \(-0.165915\pi\) |
0.00236195 | + | 0.999997i | \(0.499248\pi\) | |||||||
\(354\) | −14.2842 | − | 28.5272i | −0.759197 | − | 1.51621i | ||||
\(355\) | 7.53793 | + | 13.0561i | 0.400072 | + | 0.692944i | ||||
\(356\) | 1.69843 | + | 1.05285i | 0.0900167 | + | 0.0558011i | ||||
\(357\) | −12.6605 | − | 15.7993i | −0.670064 | − | 0.836188i | ||||
\(358\) | 1.92155 | − | 1.06964i | 0.101557 | − | 0.0565320i | ||||
\(359\) | 10.1985 | + | 5.88809i | 0.538254 | + | 0.310761i | 0.744371 | − | 0.667766i | \(-0.232749\pi\) |
−0.206117 | + | 0.978527i | \(0.566083\pi\) | |||||||
\(360\) | −3.19325 | + | 23.6144i | −0.168299 | + | 1.24459i | ||||
\(361\) | 8.79254 | + | 15.2291i | 0.462765 | + | 0.801533i | ||||
\(362\) | −0.260919 | + | 16.6586i | −0.0137136 | + | 0.875558i | ||||
\(363\) | −2.80168 | + | 4.39698i | −0.147050 | + | 0.230782i | ||||
\(364\) | 2.05539 | + | 2.50083i | 0.107731 | + | 0.131079i | ||||
\(365\) | 2.45223 | − | 4.24739i | 0.128356 | − | 0.222319i | ||||
\(366\) | 4.76221 | − | 2.38454i | 0.248925 | − | 0.124642i | ||||
\(367\) | 11.3992 | − | 19.7440i | 0.595034 | − | 1.03063i | −0.398509 | − | 0.917165i | \(-0.630472\pi\) |
0.993542 | − | 0.113464i | \(-0.0361946\pi\) | |||||||
\(368\) | −25.7497 | + | 12.7882i | −1.34230 | + | 0.666633i | ||||
\(369\) | 10.8194 | − | 5.04309i | 0.563237 | − | 0.262533i | ||||
\(370\) | −0.587302 | + | 37.4969i | −0.0305324 | + | 1.94937i | ||||
\(371\) | −0.176833 | − | 0.892185i | −0.00918069 | − | 0.0463199i | ||||
\(372\) | −6.02709 | − | 12.5229i | −0.312490 | − | 0.649284i | ||||
\(373\) | −2.49678 | − | 4.32454i | −0.129278 | − | 0.223916i | 0.794119 | − | 0.607762i | \(-0.207933\pi\) |
−0.923397 | + | 0.383846i | \(0.874599\pi\) | |||||||
\(374\) | 23.3838 | + | 0.366253i | 1.20915 | + | 0.0189385i | ||||
\(375\) | 9.11867 | − | 4.74596i | 0.470886 | − | 0.245080i | ||||
\(376\) | 6.84454 | + | 0.321822i | 0.352980 | + | 0.0165967i | ||||
\(377\) | − | 5.27545i | − | 0.271700i | ||||||
\(378\) | −17.2922 | − | 8.88705i | −0.889415 | − | 0.457100i | ||||
\(379\) | 32.2808i | 1.65815i | 0.559135 | + | 0.829077i | \(0.311133\pi\) | ||||
−0.559135 | + | 0.829077i | \(0.688867\pi\) | |||||||
\(380\) | −0.209233 | + | 6.67772i | −0.0107334 | + | 0.342560i | ||||
\(381\) | −26.2626 | + | 13.6688i | −1.34547 | + | 0.700274i | ||||
\(382\) | 0.320900 | − | 20.4882i | 0.0164187 | − | 1.04827i | ||||
\(383\) | −8.82152 | − | 15.2793i | −0.450759 | − | 0.780737i | 0.547675 | − | 0.836691i | \(-0.315513\pi\) |
−0.998433 | + | 0.0559544i | \(0.982180\pi\) | |||||||
\(384\) | −7.09087 | − | 18.2680i | −0.361854 | − | 0.932235i | ||||
\(385\) | −26.3289 | − | 8.95753i | −1.34184 | − | 0.456518i | ||||
\(386\) | 13.0293 | + | 0.204073i | 0.663173 | + | 0.0103871i | ||||
\(387\) | 0.477292 | − | 5.44550i | 0.0242621 | − | 0.276810i | ||||
\(388\) | −11.7416 | + | 6.29722i | −0.596091 | + | 0.319693i | ||||
\(389\) | −7.75525 | + | 13.4325i | −0.393207 | + | 0.681054i | −0.992871 | − | 0.119198i | \(-0.961968\pi\) |
0.599664 | + | 0.800252i | \(0.295301\pi\) | |||||||
\(390\) | −1.88414 | − | 3.76284i | −0.0954070 | − | 0.190539i | ||||
\(391\) | −15.8777 | + | 27.5009i | −0.802968 | + | 1.39078i | ||||
\(392\) | −15.1067 | − | 12.7980i | −0.763003 | − | 0.646395i | ||||
\(393\) | −14.6732 | + | 23.0283i | −0.740165 | + | 1.16162i | ||||
\(394\) | 13.5031 | + | 0.211495i | 0.680278 | + | 0.0106550i | ||||
\(395\) | 13.8477 | + | 23.9849i | 0.696753 | + | 1.20681i | ||||
\(396\) | 20.6426 | − | 8.84582i | 1.03733 | − | 0.444519i | ||||
\(397\) | 29.6794 | + | 17.1354i | 1.48957 | + | 0.860002i | 0.999929 | − | 0.0119229i | \(-0.00379527\pi\) |
0.489639 | + | 0.871925i | \(0.337129\pi\) | |||||||
\(398\) | 11.5290 | + | 20.7112i | 0.577896 | + | 1.03816i | ||||
\(399\) | −5.07886 | − | 1.97952i | −0.254261 | − | 0.0991001i | ||||
\(400\) | 6.38792 | − | 9.61848i | 0.319396 | − | 0.480924i | ||||
\(401\) | −3.42451 | − | 5.93142i | −0.171012 | − | 0.296201i | 0.767762 | − | 0.640735i | \(-0.221370\pi\) |
−0.938774 | + | 0.344534i | \(0.888037\pi\) | |||||||
\(402\) | 32.2294 | − | 16.1380i | 1.60746 | − | 0.804889i | ||||
\(403\) | 2.12551 | + | 1.22716i | 0.105879 | + | 0.0611293i | ||||
\(404\) | 12.1032 | + | 7.50273i | 0.602156 | + | 0.373275i | ||||
\(405\) | 19.3565 | + | 16.2525i | 0.961830 | + | 0.807592i | ||||
\(406\) | 5.77675 | + | 31.7449i | 0.286695 | + | 1.57547i | ||||
\(407\) | 30.6084 | − | 17.6718i | 1.51720 | − | 0.875957i | ||||
\(408\) | −17.6871 | − | 12.4753i | −0.875640 | − | 0.617617i | ||||
\(409\) | − | 34.2017i | − | 1.69116i | −0.533846 | − | 0.845582i | \(-0.679254\pi\) | ||
0.533846 | − | 0.845582i | \(-0.320746\pi\) | |||||||
\(410\) | −15.8009 | − | 0.247485i | −0.780352 | − | 0.0122224i | ||||
\(411\) | 5.21302 | + | 0.228020i | 0.257139 | + | 0.0112474i | ||||
\(412\) | −10.1439 | − | 18.9141i | −0.499754 | − | 0.931830i | ||||
\(413\) | −32.6235 | − | 11.0991i | −1.60530 | − | 0.546149i | ||||
\(414\) | −3.13801 | + | 30.3325i | −0.154225 | + | 1.49076i | ||||
\(415\) | −10.5908 | − | 6.11461i | −0.519883 | − | 0.300154i | ||||
\(416\) | 2.85242 | + | 1.95944i | 0.139852 | + | 0.0960694i | ||||
\(417\) | −6.40529 | − | 0.280171i | −0.313668 | − | 0.0137200i | ||||
\(418\) | 5.50160 | − | 3.06249i | 0.269092 | − | 0.149791i | ||||
\(419\) | 10.0572 | − | 17.4195i | 0.491325 | − | 0.851000i | −0.508625 | − | 0.860988i | \(-0.669846\pi\) |
0.999950 | + | 0.00998821i | \(0.00317940\pi\) | |||||||
\(420\) | 15.4581 | + | 20.5796i | 0.754280 | + | 1.00418i | ||||
\(421\) | 3.04994 | + | 5.28265i | 0.148645 | + | 0.257461i | 0.930727 | − | 0.365715i | \(-0.119175\pi\) |
−0.782082 | + | 0.623176i | \(0.785842\pi\) | |||||||
\(422\) | 10.4863 | + | 6.27527i | 0.510466 | + | 0.305475i | ||||
\(423\) | 4.16956 | − | 5.95273i | 0.202731 | − | 0.289432i | ||||
\(424\) | −0.446084 | − | 0.863975i | −0.0216637 | − | 0.0419583i | ||||
\(425\) | − | 12.7533i | − | 0.618624i | ||||||
\(426\) | −11.7580 | + | 5.88746i | −0.569675 | + | 0.285248i | ||||
\(427\) | 1.85283 | − | 5.44602i | 0.0896646 | − | 0.263552i | ||||
\(428\) | −24.5694 | − | 15.2305i | −1.18761 | − | 0.736195i | ||||
\(429\) | −2.13122 | + | 3.34476i | −0.102896 | + | 0.161486i | ||||
\(430\) | −3.71604 | + | 6.20970i | −0.179203 | + | 0.299458i | ||||
\(431\) | −23.2792 | + | 13.4402i | −1.12132 | + | 0.647393i | −0.941737 | − | 0.336350i | \(-0.890807\pi\) |
−0.179581 | + | 0.983743i | \(0.557474\pi\) | |||||||
\(432\) | −20.3956 | − | 4.00256i | −0.981283 | − | 0.192573i | ||||
\(433\) | 16.0304i | 0.770372i | 0.922839 | + | 0.385186i | \(0.125863\pi\) | ||||
−0.922839 | + | 0.385186i | \(0.874137\pi\) | |||||||
\(434\) | −14.1340 | − | 5.05693i | −0.678452 | − | 0.242740i | ||||
\(435\) | 1.83299 | − | 41.9059i | 0.0878850 | − | 2.00923i | ||||
\(436\) | 0.727487 | + | 1.35645i | 0.0348403 | + | 0.0649623i | ||||
\(437\) | 8.54968i | 0.408987i | ||||||||
\(438\) | 3.57125 | + | 2.35497i | 0.170641 | + | 0.112525i | ||||
\(439\) | 19.6894 | 0.939723 | 0.469861 | − | 0.882740i | \(-0.344304\pi\) | ||||
0.469861 | + | 0.882740i | \(0.344304\pi\) | |||||||
\(440\) | −29.6983 | − | 1.39638i | −1.41581 | − | 0.0665698i | ||||
\(441\) | −20.0377 | + | 6.28425i | −0.954175 | + | 0.299250i | ||||
\(442\) | 3.82182 | + | 0.0598599i | 0.181785 | + | 0.00284724i | ||||
\(443\) | 7.20419i | 0.342281i | 0.985247 | + | 0.171141i | \(0.0547453\pi\) | ||||
−0.985247 | + | 0.171141i | \(0.945255\pi\) | |||||||
\(444\) | −32.6179 | − | 2.45210i | −1.54798 | − | 0.116372i | ||||
\(445\) | −2.80591 | −0.133013 | ||||||||
\(446\) | −13.5362 | − | 24.3170i | −0.640955 | − | 1.15144i | ||||
\(447\) | −10.5177 | + | 16.5066i | −0.497472 | + | 0.780738i | ||||
\(448\) | −19.3100 | − | 8.66739i | −0.912312 | − | 0.409496i | ||||
\(449\) | 6.42464 | 0.303198 | 0.151599 | − | 0.988442i | \(-0.451558\pi\) | ||||
0.151599 | + | 0.988442i | \(0.451558\pi\) | |||||||
\(450\) | −4.99951 | − | 11.1799i | −0.235679 | − | 0.527026i | ||||
\(451\) | 7.44675 | + | 12.8981i | 0.350654 | + | 0.607350i | ||||
\(452\) | 7.39423 | − | 11.9281i | 0.347795 | − | 0.561053i | ||||
\(453\) | −0.369687 | + | 8.45180i | −0.0173694 | + | 0.397100i | ||||
\(454\) | 8.69612 | − | 14.5317i | 0.408129 | − | 0.682006i | ||||
\(455\) | −4.30316 | − | 1.46401i | −0.201735 | − | 0.0686336i | ||||
\(456\) | −5.80340 | − | 0.527799i | −0.271769 | − | 0.0247164i | ||||
\(457\) | −36.4381 | −1.70450 | −0.852250 | − | 0.523134i | \(-0.824763\pi\) | ||||
−0.852250 | + | 0.523134i | \(0.824763\pi\) | |||||||
\(458\) | −3.38718 | + | 1.88549i | −0.158273 | + | 0.0881031i | ||||
\(459\) | −21.2116 | + | 8.78019i | −0.990071 | + | 0.409824i | ||||
\(460\) | 21.2700 | − | 34.3122i | 0.991720 | − | 1.59981i | ||||
\(461\) | −1.90388 | + | 1.09920i | −0.0886725 | + | 0.0511951i | −0.543681 | − | 0.839292i | \(-0.682970\pi\) |
0.455008 | + | 0.890487i | \(0.349636\pi\) | |||||||
\(462\) | 9.16196 | − | 22.4607i | 0.426253 | − | 1.04497i | ||||
\(463\) | −2.98183 | − | 1.72156i | −0.138577 | − | 0.0800077i | 0.429108 | − | 0.903253i | \(-0.358828\pi\) |
−0.567686 | + | 0.823245i | \(0.692161\pi\) | |||||||
\(464\) | 15.3430 | + | 30.8939i | 0.712282 | + | 1.43421i | ||||
\(465\) | 16.4577 | + | 10.4866i | 0.763208 | + | 0.486302i | ||||
\(466\) | 11.7752 | − | 19.6770i | 0.545475 | − | 0.911519i | ||||
\(467\) | 0.234638 | − | 0.406404i | 0.0108577 | − | 0.0188061i | −0.860545 | − | 0.509374i | \(-0.829877\pi\) |
0.871403 | + | 0.490567i | \(0.163210\pi\) | |||||||
\(468\) | 3.37379 | − | 1.44575i | 0.155954 | − | 0.0668297i | ||||
\(469\) | 12.5395 | − | 36.8573i | 0.579019 | − | 1.70191i | ||||
\(470\) | −8.40671 | + | 4.67963i | −0.387773 | + | 0.215855i | ||||
\(471\) | 17.9106 | − | 9.32188i | 0.825279 | − | 0.429529i | ||||
\(472\) | −36.7985 | − | 1.73022i | −1.69379 | − | 0.0796399i | ||||
\(473\) | 6.82024 | 0.313595 | ||||||||
\(474\) | −21.6002 | + | 10.8157i | −0.992129 | + | 0.496781i | ||||
\(475\) | −1.71682 | − | 2.97362i | −0.0787731 | − | 0.136439i | ||||
\(476\) | −23.0632 | + | 3.82478i | −1.05710 | + | 0.175309i | ||||
\(477\) | −1.02738 | − | 0.0900489i | −0.0470406 | − | 0.00412306i | ||||
\(478\) | −4.83736 | − | 2.89480i | −0.221256 | − | 0.132405i | ||||
\(479\) | 3.75827 | − | 6.50952i | 0.171720 | − | 0.297427i | −0.767301 | − | 0.641287i | \(-0.778401\pi\) |
0.939021 | + | 0.343859i | \(0.111734\pi\) | |||||||
\(480\) | 21.9776 | + | 16.5560i | 1.00313 | + | 0.755675i | ||||
\(481\) | 5.00259 | − | 2.88825i | 0.228098 | − | 0.131693i | ||||
\(482\) | −13.6451 | − | 8.16556i | −0.621518 | − | 0.371931i | ||||
\(483\) | 20.5969 | + | 25.7033i | 0.937191 | + | 1.16954i | ||||
\(484\) | 2.84538 | + | 5.30543i | 0.129336 | + | 0.241156i | ||||
\(485\) | 9.35427 | − | 16.2021i | 0.424756 | − | 0.735698i | ||||
\(486\) | −15.1527 | + | 16.0123i | −0.687342 | + | 0.726334i | ||||
\(487\) | 11.0384 | − | 6.37304i | 0.500199 | − | 0.288790i | −0.228597 | − | 0.973521i | \(-0.573414\pi\) |
0.728796 | + | 0.684731i | \(0.240080\pi\) | |||||||
\(488\) | 0.288835 | − | 6.14298i | 0.0130750 | − | 0.278079i | ||||
\(489\) | −0.770861 | + | 17.6235i | −0.0348595 | + | 0.796961i | ||||
\(490\) | 27.4972 | + | 4.09755i | 1.24220 | + | 0.185108i | ||||
\(491\) | 16.7854 | + | 9.69106i | 0.757515 | + | 0.437351i | 0.828403 | − | 0.560133i | \(-0.189250\pi\) |
−0.0708879 | + | 0.997484i | \(0.522583\pi\) | |||||||
\(492\) | 1.03330 | − | 13.7449i | 0.0465846 | − | 0.619669i | ||||
\(493\) | 32.9949 | + | 19.0496i | 1.48602 | + | 0.857952i | ||||
\(494\) | 0.899174 | − | 0.500528i | 0.0404557 | − | 0.0225198i | ||||
\(495\) | −18.0916 | + | 25.8288i | −0.813158 | + | 1.16092i | ||||
\(496\) | −16.0164 | − | 1.00467i | −0.719155 | − | 0.0451109i | ||||
\(497\) | −4.57465 | + | 13.4463i | −0.205201 | + | 0.603149i | ||||
\(498\) | 5.87209 | − | 8.90486i | 0.263135 | − | 0.399036i | ||||
\(499\) | −18.2465 | + | 10.5346i | −0.816826 | + | 0.471594i | −0.849321 | − | 0.527877i | \(-0.822988\pi\) |
0.0324950 | + | 0.999472i | \(0.489655\pi\) | |||||||
\(500\) | 0.371744 | − | 11.8643i | 0.0166249 | − | 0.530586i | ||||
\(501\) | 24.3558 | + | 1.06534i | 1.08814 | + | 0.0475957i | ||||
\(502\) | 14.5727 | + | 0.228248i | 0.650412 | + | 0.0101872i | ||||
\(503\) | 29.8779 | 1.33219 | 0.666095 | − | 0.745867i | \(-0.267965\pi\) | ||||
0.666095 | + | 0.745867i | \(0.267965\pi\) | |||||||
\(504\) | −18.7186 | + | 12.3941i | −0.833792 | + | 0.552079i | ||||
\(505\) | −19.9952 | −0.889774 | ||||||||
\(506\) | −38.0423 | − | 0.595844i | −1.69119 | − | 0.0264885i | ||||
\(507\) | 11.7514 | − | 18.4427i | 0.521897 | − | 0.819071i | ||||
\(508\) | −1.07066 | + | 34.1702i | −0.0475027 | + | 1.51606i | ||||
\(509\) | −29.9207 | + | 17.2747i | −1.32621 | + | 0.765688i | −0.984711 | − | 0.174195i | \(-0.944268\pi\) |
−0.341498 | + | 0.939882i | \(0.610934\pi\) | |||||||
\(510\) | 30.3380 | + | 1.80341i | 1.34339 | + | 0.0798565i | ||||
\(511\) | 4.53240 | − | 0.898330i | 0.200502 | − | 0.0397398i | ||||
\(512\) | −22.4030 | − | 3.17884i | −0.990083 | − | 0.140486i | ||||
\(513\) | −3.76383 | + | 4.90270i | −0.166177 | + | 0.216459i | ||||
\(514\) | 29.9423 | − | 16.6675i | 1.32070 | − | 0.735173i | ||||
\(515\) | 26.0992 | + | 15.0684i | 1.15007 | + | 0.663992i | ||||
\(516\) | −5.21440 | − | 3.55692i | −0.229551 | − | 0.156585i | ||||
\(517\) | 7.85291 | + | 4.53388i | 0.345371 | + | 0.199400i | ||||
\(518\) | −26.9402 | + | 22.8579i | −1.18369 | + | 1.00432i | ||||
\(519\) | 24.5684 | − | 12.7870i | 1.07843 | − | 0.561288i | ||||
\(520\) | −4.85385 | − | 0.228222i | −0.212855 | − | 0.0100082i | ||||
\(521\) | 6.83068 | − | 3.94369i | 0.299257 | − | 0.172776i | −0.342852 | − | 0.939389i | \(-0.611393\pi\) |
0.642109 | + | 0.766613i | \(0.278060\pi\) | |||||||
\(522\) | 36.3922 | + | 3.76490i | 1.59284 | + | 0.164785i | ||||
\(523\) | 8.08449 | − | 14.0027i | 0.353510 | − | 0.612297i | −0.633352 | − | 0.773864i | \(-0.718321\pi\) |
0.986862 | + | 0.161567i | \(0.0516547\pi\) | |||||||
\(524\) | 14.9021 | + | 27.7861i | 0.651001 | + | 1.21384i | ||||
\(525\) | −12.3251 | − | 4.80378i | −0.537910 | − | 0.209654i | ||||
\(526\) | −8.94208 | − | 5.35116i | −0.389893 | − | 0.233322i | ||||
\(527\) | −15.3504 | + | 8.86255i | −0.668674 | + | 0.386059i | ||||
\(528\) | 2.75292 | − | 25.7858i | 0.119806 | − | 1.12218i | ||||
\(529\) | 14.3308 | − | 24.8217i | 0.623078 | − | 1.07920i | ||||
\(530\) | 1.17156 | + | 0.701091i | 0.0508894 | + | 0.0304535i | ||||
\(531\) | −22.4169 | + | 32.0038i | −0.972811 | + | 1.38885i | ||||
\(532\) | −4.86266 | + | 3.99653i | −0.210823 | + | 0.173272i | ||||
\(533\) | 1.21709 | + | 2.10805i | 0.0527178 | + | 0.0913099i | ||||
\(534\) | 0.145227 | − | 2.44308i | 0.00628457 | − | 0.105723i | ||||
\(535\) | 40.5902 | 1.75487 | ||||||||
\(536\) | 1.95476 | − | 41.5741i | 0.0844330 | − | 1.79573i | ||||
\(537\) | −2.27152 | − | 1.44737i | −0.0980234 | − | 0.0624587i | ||||
\(538\) | 38.0929 | − | 21.2046i | 1.64230 | − | 0.914194i | ||||
\(539\) | −9.99362 | − | 24.2203i | −0.430456 | − | 1.04324i | ||||
\(540\) | 27.3023 | − | 10.3121i | 1.17490 | − | 0.443764i | ||||
\(541\) | 15.1006 | − | 26.1550i | 0.649224 | − | 1.12449i | −0.334084 | − | 0.942543i | \(-0.608427\pi\) |
0.983308 | − | 0.181946i | \(-0.0582397\pi\) | |||||||
\(542\) | 13.8356 | − | 23.1200i | 0.594289 | − | 0.993089i | ||||
\(543\) | 18.1003 | − | 9.42057i | 0.776757 | − | 0.404275i | ||||
\(544\) | −22.5552 | + | 10.7647i | −0.967048 | + | 0.461535i | ||||
\(545\) | −1.87175 | − | 1.08065i | −0.0801768 | − | 0.0462901i | ||||
\(546\) | 1.49742 | − | 3.67095i | 0.0640835 | − | 0.157102i | ||||
\(547\) | −5.67357 | + | 3.27564i | −0.242584 | + | 0.140056i | −0.616364 | − | 0.787461i | \(-0.711395\pi\) |
0.373780 | + | 0.927518i | \(0.378062\pi\) | |||||||
\(548\) | 3.17455 | − | 5.12110i | 0.135610 | − | 0.218762i | ||||
\(549\) | −5.34258 | − | 3.74218i | −0.228016 | − | 0.159712i | ||||
\(550\) | 13.3509 | − | 7.43185i | 0.569286 | − | 0.316895i | ||||
\(551\) | 10.2577 | 0.436993 | ||||||||
\(552\) | 28.7744 | + | 20.2955i | 1.22472 | + | 0.863836i | ||||
\(553\) | −8.40396 | + | 24.7018i | −0.357373 | + | 1.05043i | ||||
\(554\) | −0.182496 | + | 0.304960i | −0.00775350 | + | 0.0129565i | ||||
\(555\) | 40.7419 | − | 21.2048i | 1.72940 | − | 0.900093i | ||||
\(556\) | −3.90061 | + | 6.29234i | −0.165423 | + | 0.266855i | ||||
\(557\) | 0.158409 | + | 0.274372i | 0.00671199 | + | 0.0116255i | 0.869362 | − | 0.494176i | \(-0.164530\pi\) |
−0.862650 | + | 0.505801i | \(0.831197\pi\) | |||||||
\(558\) | −9.98237 | + | 13.7868i | −0.422587 | + | 0.583643i | ||||
\(559\) | 1.11469 | 0.0471463 | ||||||||
\(560\) | 29.4578 | − | 3.94177i | 1.24482 | − | 0.166570i | ||||
\(561\) | −13.2237 | − | 25.4075i | −0.558306 | − | 1.07270i | ||||
\(562\) | 8.08150 | + | 14.5180i | 0.340898 | + | 0.612405i | ||||
\(563\) | 6.73380 | 0.283796 | 0.141898 | − | 0.989881i | \(-0.454680\pi\) | ||||
0.141898 | + | 0.989881i | \(0.454680\pi\) | |||||||
\(564\) | −3.63940 | − | 7.56186i | −0.153247 | − | 0.318412i | ||||
\(565\) | 19.7060i | 0.829039i | ||||||||
\(566\) | 12.3148 | + | 0.192882i | 0.517628 | + | 0.00810744i | ||||
\(567\) | 0.495610 | + | 23.8066i | 0.0208137 | + | 0.999783i | ||||
\(568\) | −0.713138 | + | 15.1671i | −0.0299226 | + | 0.636397i | ||||
\(569\) | 3.35568 | 0.140677 | 0.0703387 | − | 0.997523i | \(-0.477592\pi\) | ||||
0.0703387 | + | 0.997523i | \(0.477592\pi\) | |||||||
\(570\) | 7.31655 | − | 3.66355i | 0.306457 | − | 0.153449i | ||||
\(571\) | 24.1300i | 1.00981i | 0.863175 | + | 0.504904i | \(0.168472\pi\) | ||||
−0.863175 | + | 0.504904i | \(0.831528\pi\) | |||||||
\(572\) | 2.16447 | + | 4.03581i | 0.0905009 | + | 0.168746i | ||||
\(573\) | −22.2613 | + | 11.5862i | −0.929979 | + | 0.484022i | ||||
\(574\) | −9.63215 | − | 11.3524i | −0.402038 | − | 0.473841i | ||||
\(575\) | 20.7478i | 0.865244i | ||||||||
\(576\) | −15.5527 | + | 18.2788i | −0.648028 | + | 0.761616i | ||||
\(577\) | −32.0115 | + | 18.4819i | −1.33266 | + | 0.769410i | −0.985706 | − | 0.168473i | \(-0.946116\pi\) |
−0.346951 | + | 0.937883i | \(0.612783\pi\) | |||||||
\(578\) | −1.82955 | + | 3.05727i | −0.0760991 | + | 0.127166i | ||||
\(579\) | −7.36816 | − | 14.1568i | −0.306210 | − | 0.588338i | ||||
\(580\) | −41.1669 | − | 25.5193i | −1.70936 | − | 1.05963i | ||||
\(581\) | −2.23997 | − | 11.3015i | −0.0929298 | − | 0.468864i | ||||
\(582\) | 13.6229 | + | 8.98326i | 0.564686 | + | 0.372368i | ||||
\(583\) | − | 1.28675i | − | 0.0532917i | ||||||
\(584\) | 4.38909 | − | 2.26616i | 0.181622 | − | 0.0937742i | ||||
\(585\) | −2.95687 | + | 4.22142i | −0.122251 | + | 0.174534i | ||||
\(586\) | −14.0997 | − | 8.43763i | −0.582455 | − | 0.348555i | ||||
\(587\) | −7.18018 | − | 12.4364i | −0.296358 | − | 0.513307i | 0.678942 | − | 0.734192i | \(-0.262439\pi\) |
−0.975300 | + | 0.220885i | \(0.929105\pi\) | |||||||
\(588\) | −4.99089 | + | 23.7295i | −0.205821 | + | 0.978590i | ||||
\(589\) | −2.38612 | + | 4.13288i | −0.0983184 | + | 0.170292i | ||||
\(590\) | 45.1972 | − | 25.1592i | 1.86074 | − | 1.03579i | ||||
\(591\) | −7.63612 | − | 14.6717i | −0.314108 | − | 0.603513i | ||||
\(592\) | −20.8958 | + | 31.4634i | −0.858813 | + | 1.29314i | ||||
\(593\) | 29.2573 | + | 16.8917i | 1.20146 | + | 0.693660i | 0.960879 | − | 0.276970i | \(-0.0893302\pi\) |
0.240577 | + | 0.970630i | \(0.422664\pi\) | |||||||
\(594\) | −21.5525 | − | 17.0891i | −0.884311 | − | 0.701173i | ||||
\(595\) | 24.6952 | − | 21.6273i | 1.01240 | − | 0.886631i | ||||
\(596\) | 10.6818 | + | 19.9170i | 0.437544 | + | 0.815834i | ||||
\(597\) | 15.6004 | − | 24.4834i | 0.638481 | − | 1.00204i | ||||
\(598\) | −6.21758 | − | 0.0973839i | −0.254256 | − | 0.00398232i | ||||
\(599\) | 29.3444i | 1.19898i | 0.800382 | + | 0.599490i | \(0.204630\pi\) | ||||
−0.800382 | + | 0.599490i | \(0.795370\pi\) | |||||||
\(600\) | −14.0833 | − | 1.28083i | −0.574950 | − | 0.0522896i | ||||
\(601\) | −2.28904 | + | 1.32158i | −0.0933717 | + | 0.0539082i | −0.545959 | − | 0.837812i | \(-0.683834\pi\) |
0.452587 | + | 0.891720i | \(0.350501\pi\) | |||||||
\(602\) | −6.70761 | + | 1.22061i | −0.273382 | + | 0.0497485i | ||||
\(603\) | −36.1572 | − | 25.3261i | −1.47244 | − | 1.03136i | ||||
\(604\) | 8.30277 | + | 5.14686i | 0.337835 | + | 0.209423i | ||||
\(605\) | −7.32088 | − | 4.22671i | −0.297636 | − | 0.171840i | ||||
\(606\) | 1.03490 | − | 17.4096i | 0.0420399 | − | 0.707218i | ||||
\(607\) | 7.14641 | + | 12.3779i | 0.290064 | + | 0.502405i | 0.973825 | − | 0.227301i | \(-0.0729901\pi\) |
−0.683761 | + | 0.729706i | \(0.739657\pi\) | |||||||
\(608\) | −3.80997 | + | 5.54631i | −0.154515 | + | 0.224933i | ||||
\(609\) | 30.8382 | − | 24.7116i | 1.24963 | − | 1.00137i | ||||
\(610\) | 4.19997 | + | 7.54502i | 0.170052 | + | 0.305489i | ||||
\(611\) | 1.28347 | + | 0.741011i | 0.0519236 | + | 0.0299781i | ||||
\(612\) | −3.14043 | + | 26.3217i | −0.126945 | + | 1.06399i | ||||
\(613\) | −8.49136 | − | 14.7075i | −0.342963 | − | 0.594029i | 0.642019 | − | 0.766689i | \(-0.278097\pi\) |
−0.984981 | + | 0.172660i | \(0.944764\pi\) | |||||||
\(614\) | −33.6646 | − | 0.527278i | −1.35859 | − | 0.0212792i | ||||
\(615\) | 8.93553 | + | 17.1683i | 0.360315 | + | 0.692294i | ||||
\(616\) | −17.4439 | − | 21.9152i | −0.702836 | − | 0.882990i | ||||
\(617\) | 6.62896 | − | 11.4817i | 0.266872 | − | 0.462235i | −0.701181 | − | 0.712984i | \(-0.747343\pi\) |
0.968052 | + | 0.250748i | \(0.0806767\pi\) | |||||||
\(618\) | −14.4707 | + | 21.9445i | −0.582099 | + | 0.882736i | ||||
\(619\) | −20.1710 | + | 34.9372i | −0.810741 | + | 1.40425i | 0.101605 | + | 0.994825i | \(0.467602\pi\) |
−0.912346 | + | 0.409420i | \(0.865731\pi\) | |||||||
\(620\) | 19.8580 | − | 10.6501i | 0.797516 | − | 0.427720i | ||||
\(621\) | 34.5083 | − | 14.2842i | 1.38477 | − | 0.573204i | ||||
\(622\) | 33.8860 | + | 0.530746i | 1.35871 | + | 0.0212810i | ||||
\(623\) | −1.74162 | − | 1.98867i | −0.0697764 | − | 0.0796745i | ||||
\(624\) | 0.449934 | − | 4.21440i | 0.0180118 | − | 0.168711i | ||||
\(625\) | 15.5503 | + | 26.9338i | 0.622011 | + | 1.07735i | ||||
\(626\) | 0.228331 | − | 14.5781i | 0.00912595 | − | 0.582656i | ||||
\(627\) | −6.50362 | − | 4.14399i | −0.259729 | − | 0.165495i | ||||
\(628\) | 0.730168 | − | 23.3035i | 0.0291369 | − | 0.929909i | ||||
\(629\) | 41.7178i | 1.66340i | ||||||||
\(630\) | 13.1703 | − | 28.6401i | 0.524718 | − | 1.14105i | ||||
\(631\) | − | 10.1900i | − | 0.405658i | −0.979214 | − | 0.202829i | \(-0.934986\pi\) | ||
0.979214 | − | 0.202829i | \(-0.0650136\pi\) | |||||||
\(632\) | −1.31008 | + | 27.8630i | −0.0521123 | + | 1.10833i | ||||
\(633\) | 0.654042 | − | 14.9528i | 0.0259958 | − | 0.594319i | ||||
\(634\) | 18.0627 | + | 0.282911i | 0.717363 | + | 0.0112358i | ||||
\(635\) | −24.0019 | − | 41.5725i | −0.952487 | − | 1.64976i | ||||
\(636\) | −0.671071 | + | 0.983783i | −0.0266097 | + | 0.0390095i | ||||
\(637\) | −1.63334 | − | 3.95854i | −0.0647154 | − | 0.156843i | ||||
\(638\) | −0.714880 | + | 45.6423i | −0.0283024 | + | 1.80699i | ||||
\(639\) | 13.1909 | + | 9.23948i | 0.521823 | + | 0.365508i | ||||
\(640\) | 29.0887 | − | 12.7803i | 1.14983 | − | 0.505187i | ||||
\(641\) | 6.30398 | − | 10.9188i | 0.248992 | − | 0.431267i | −0.714254 | − | 0.699886i | \(-0.753234\pi\) |
0.963246 | + | 0.268619i | \(0.0865673\pi\) | |||||||
\(642\) | −2.10084 | + | 35.3416i | −0.0829137 | + | 1.39482i | ||||
\(643\) | 20.9389 | − | 36.2672i | 0.825749 | − | 1.43024i | −0.0755963 | − | 0.997139i | \(-0.524086\pi\) |
0.901345 | − | 0.433101i | \(-0.142581\pi\) | |||||||
\(644\) | 37.5207 | − | 6.22240i | 1.47852 | − | 0.245197i | ||||
\(645\) | 8.85460 | + | 0.387305i | 0.348650 | + | 0.0152501i | ||||
\(646\) | −0.116393 | + | 7.43122i | −0.00457941 | + | 0.292378i | ||||
\(647\) | −4.79985 | − | 8.31358i | −0.188702 | − | 0.326841i | 0.756116 | − | 0.654438i | \(-0.227095\pi\) |
−0.944818 | + | 0.327597i | \(0.893761\pi\) | |||||||
\(648\) | 7.56560 | + | 24.3056i | 0.297205 | + | 0.954814i | ||||
\(649\) | −42.2198 | − | 24.3756i | −1.65727 | − | 0.956827i | ||||
\(650\) | 2.18206 | − | 1.21465i | 0.0855874 | − | 0.0476425i | ||||
\(651\) | 2.78294 | + | 18.1733i | 0.109072 | + | 0.712266i | ||||
\(652\) | 17.3127 | + | 10.7321i | 0.678018 | + | 0.420302i | ||||
\(653\) | −2.86038 | − | 4.95432i | −0.111935 | − | 0.193878i | 0.804615 | − | 0.593797i | \(-0.202372\pi\) |
−0.916551 | + | 0.399919i | \(0.869038\pi\) | |||||||
\(654\) | 1.03779 | − | 1.57378i | 0.0405809 | − | 0.0615398i | ||||
\(655\) | −38.3415 | − | 22.1365i | −1.49813 | − | 0.864944i | ||||
\(656\) | −13.2585 | − | 8.80534i | −0.517656 | − | 0.343791i | ||||
\(657\) | 0.457459 | − | 5.21922i | 0.0178472 | − | 0.203621i | ||||
\(658\) | −8.53466 | − | 3.05358i | −0.332716 | − | 0.119041i | ||||
\(659\) | −29.4052 | + | 16.9771i | −1.14546 | + | 0.661334i | −0.947778 | − | 0.318932i | \(-0.896676\pi\) |
−0.197686 | + | 0.980265i | \(0.563343\pi\) | |||||||
\(660\) | 15.7913 | + | 32.8108i | 0.614676 | + | 1.27716i | ||||
\(661\) | 39.1649i | 1.52334i | 0.647966 | + | 0.761669i | \(0.275620\pi\) | ||||
−0.647966 | + | 0.761669i | \(0.724380\pi\) | |||||||
\(662\) | −0.420462 | + | 26.8448i | −0.0163417 | + | 1.04335i | ||||
\(663\) | −2.16127 | − | 4.15256i | −0.0839366 | − | 0.161272i | ||||
\(664\) | −5.65063 | − | 10.9441i | −0.219287 | − | 0.424715i | ||||
\(665\) | 2.84664 | − | 8.36714i | 0.110388 | − | 0.324464i | ||||
\(666\) | 16.3541 | + | 36.5711i | 0.633710 | + | 1.41710i | ||||
\(667\) | −53.6783 | − | 30.9912i | −2.07843 | − | 1.19998i | ||||
\(668\) | 14.8318 | − | 23.9263i | 0.573861 | − | 0.925736i | ||||
\(669\) | −18.3164 | + | 28.7459i | −0.708152 | + | 1.11138i | ||||
\(670\) | 28.4243 | + | 51.0628i | 1.09813 | + | 1.97273i | ||||
\(671\) | 4.06916 | − | 7.04799i | 0.157088 | − | 0.272085i | ||||
\(672\) | 1.90741 | + | 25.8527i | 0.0735798 | + | 0.997289i | ||||
\(673\) | −4.87986 | − | 8.45217i | −0.188105 | − | 0.325807i | 0.756513 | − | 0.653978i | \(-0.226901\pi\) |
−0.944618 | + | 0.328171i | \(0.893568\pi\) | |||||||
\(674\) | −13.9271 | + | 23.2729i | −0.536451 | + | 0.896439i | ||||
\(675\) | −9.13382 | + | 11.8976i | −0.351561 | + | 0.457937i | ||||
\(676\) | −11.9347 | − | 22.2531i | −0.459027 | − | 0.855890i | ||||
\(677\) | − | 28.1225i | − | 1.08084i | −0.841397 | − | 0.540418i | \(-0.818266\pi\) | ||
0.841397 | − | 0.540418i | \(-0.181734\pi\) | |||||||
\(678\) | −17.1579 | − | 1.01993i | −0.658944 | − | 0.0391703i | ||||
\(679\) | 17.2893 | − | 3.42677i | 0.663501 | − | 0.131507i | ||||
\(680\) | 18.9546 | − | 29.5339i | 0.726877 | − | 1.13258i | ||||
\(681\) | −20.7212 | − | 0.906357i | −0.794038 | − | 0.0347317i | ||||
\(682\) | −18.2232 | − | 10.9052i | −0.697803 | − | 0.417582i | ||||
\(683\) | −12.9477 | + | 7.47537i | −0.495431 | + | 0.286037i | −0.726825 | − | 0.686823i | \(-0.759005\pi\) |
0.231394 | + | 0.972860i | \(0.425671\pi\) | |||||||
\(684\) | 2.81114 | + | 6.56008i | 0.107487 | + | 0.250831i | ||||
\(685\) | 8.46037i | 0.323254i | ||||||||
\(686\) | 14.1633 | + | 22.0318i | 0.540757 | + | 0.841179i | ||||
\(687\) | 4.00410 | + | 2.55134i | 0.152766 | + | 0.0973397i | ||||
\(688\) | −6.52779 | + | 3.24194i | −0.248870 | + | 0.123598i | ||||
\(689\) | − | 0.210304i | − | 0.00801196i | ||||||
\(690\) | −49.3559 | − | 2.93391i | −1.87895 | − | 0.111692i | ||||
\(691\) | −13.8627 | −0.527361 | −0.263680 | − | 0.964610i | \(-0.584936\pi\) | ||||
−0.263680 | + | 0.964610i | \(0.584936\pi\) | |||||||
\(692\) | 1.00159 | − | 31.9659i | 0.0380747 | − | 1.21516i | ||||
\(693\) | −29.5354 | + | 3.20947i | −1.12196 | + | 0.121918i | ||||
\(694\) | 0.610422 | − | 38.9730i | 0.0231713 | − | 1.47940i | ||||
\(695\) | − | 10.3953i | − | 0.394318i | ||||||
\(696\) | 24.3501 | − | 34.5229i | 0.922988 | − | 1.30859i | ||||
\(697\) | −17.5796 | −0.665873 | ||||||||
\(698\) | −22.7743 | + | 12.6774i | −0.862021 | + | 0.479847i | ||||
\(699\) | −28.0580 | − | 1.22727i | −1.06125 | − | 0.0464198i | ||||
\(700\) | −11.8004 | + | 9.69854i | −0.446013 | + | 0.366570i | ||||
\(701\) | −23.4800 | −0.886829 | −0.443414 | − | 0.896317i | \(-0.646233\pi\) | ||||
−0.443414 | + | 0.896317i | \(0.646233\pi\) | |||||||
\(702\) | −3.52251 | − | 2.79301i | −0.132949 | − | 0.105415i | ||||
\(703\) | 5.61597 | + | 9.72714i | 0.211810 | + | 0.366866i | ||||
\(704\) | −24.4131 | − | 17.3392i | −0.920104 | − | 0.653497i | ||||
\(705\) | 9.93784 | + | 6.33221i | 0.374281 | + | 0.238485i | ||||
\(706\) | −22.8932 | − | 13.6998i | −0.861597 | − | 0.515601i | ||||
\(707\) | −12.4109 | − | 14.1715i | −0.466760 | − | 0.532973i | ||||
\(708\) | 19.5666 | + | 40.6550i | 0.735359 | + | 1.52791i | ||||
\(709\) | 21.8896 | 0.822083 | 0.411042 | − | 0.911617i | \(-0.365165\pi\) | ||||
0.411042 | + | 0.911617i | \(0.365165\pi\) | |||||||
\(710\) | −10.3698 | − | 18.6288i | −0.389170 | − | 0.699125i | ||||
\(711\) | 24.2326 | + | 16.9736i | 0.908793 | + | 0.636559i | ||||
\(712\) | −2.37833 | − | 1.52639i | −0.0891318 | − | 0.0572040i | ||||
\(713\) | 24.9730 | − | 14.4182i | 0.935246 | − | 0.539965i | ||||
\(714\) | 17.5525 | + | 22.6213i | 0.656886 | + | 0.846580i | ||||
\(715\) | −5.56894 | − | 3.21523i | −0.208267 | − | 0.120243i | ||||
\(716\) | −2.74083 | + | 1.46995i | −0.102430 | + | 0.0549347i | ||||
\(717\) | −0.301711 | + | 6.89774i | −0.0112676 | + | 0.257601i | ||||
\(718\) | −14.2906 | − | 8.55186i | −0.533322 | − | 0.319153i | ||||
\(719\) | 0.739214 | − | 1.28036i | 0.0275680 | − | 0.0477492i | −0.851912 | − | 0.523685i | \(-0.824557\pi\) |
0.879480 | + | 0.475935i | \(0.157890\pi\) | |||||||
\(720\) | 5.03839 | − | 33.3210i | 0.187770 | − | 1.24180i | ||||
\(721\) | 5.52002 | + | 27.8505i | 0.205576 | + | 1.03721i | ||||
\(722\) | −12.0957 | − | 21.7293i | −0.450156 | − | 0.808682i | ||||
\(723\) | −0.851059 | + | 19.4570i | −0.0316512 | + | 0.723613i | ||||
\(724\) | 0.737899 | − | 23.5502i | 0.0274238 | − | 0.875236i | ||||
\(725\) | 24.8927 | 0.924493 | ||||||||
\(726\) | 4.05907 | − | 6.15546i | 0.150646 | − | 0.228451i | ||||
\(727\) | 21.0883 | + | 36.5260i | 0.782121 | + | 1.35467i | 0.930704 | + | 0.365773i | \(0.119195\pi\) |
−0.148583 | + | 0.988900i | \(0.547471\pi\) | |||||||
\(728\) | −2.85101 | − | 3.58179i | −0.105665 | − | 0.132750i | ||||
\(729\) | 26.0767 | + | 7.00055i | 0.965802 | + | 0.259280i | ||||
\(730\) | −3.56162 | + | 5.95167i | −0.131822 | + | 0.220281i | ||||
\(731\) | −4.02514 | + | 6.97174i | −0.148875 | + | 0.257859i | ||||
\(732\) | −6.78677 | + | 3.26637i | −0.250846 | + | 0.120728i | ||||
\(733\) | 34.8533 | − | 20.1226i | 1.28734 | − | 0.743244i | 0.309159 | − | 0.951011i | \(-0.399953\pi\) |
0.978179 | + | 0.207766i | \(0.0666193\pi\) | |||||||
\(734\) | −16.5562 | + | 27.6663i | −0.611101 | + | 1.02118i | ||||
\(735\) | −11.5991 | − | 32.0124i | −0.427841 | − | 1.18079i | ||||
\(736\) | 36.6943 | − | 17.5128i | 1.35257 | − | 0.645530i | ||||
\(737\) | 27.5390 | − | 47.6990i | 1.01441 | − | 1.75702i | ||||
\(738\) | −15.4108 | + | 6.89151i | −0.567279 | + | 0.253680i | ||||
\(739\) | −24.9157 | + | 14.3851i | −0.916540 | + | 0.529165i | −0.882530 | − | 0.470257i | \(-0.844161\pi\) |
−0.0340104 | + | 0.999421i | \(0.510828\pi\) | |||||||
\(740\) | 1.66094 | − | 53.0091i | 0.0610573 | − | 1.94865i | ||||
\(741\) | −1.06294 | − | 0.677287i | −0.0390481 | − | 0.0248808i | ||||
\(742\) | 0.230289 | + | 1.26550i | 0.00845416 | + | 0.0464580i | ||||
\(743\) | 17.6335 | + | 10.1807i | 0.646910 | + | 0.373494i | 0.787272 | − | 0.616606i | \(-0.211493\pi\) |
−0.140361 | + | 0.990100i | \(0.544826\pi\) | |||||||
\(744\) | 8.24519 | + | 17.8414i | 0.302283 | + | 0.654098i | ||||
\(745\) | −27.4832 | − | 15.8674i | −1.00691 | − | 0.581337i | ||||
\(746\) | 3.43476 | + | 6.17037i | 0.125756 | + | 0.225913i | ||||
\(747\) | −13.0141 | − | 1.14067i | −0.476160 | − | 0.0417348i | ||||
\(748\) | −33.0576 | − | 1.03579i | −1.20870 | − | 0.0378724i | ||||
\(749\) | 25.1941 | + | 28.7681i | 0.920574 | + | 1.05116i | ||||
\(750\) | −12.9993 | + | 6.50902i | −0.474667 | + | 0.237676i | ||||
\(751\) | 3.94952 | − | 2.28026i | 0.144120 | − | 0.0832077i | −0.426206 | − | 0.904626i | \(-0.640150\pi\) |
0.570326 | + | 0.821418i | \(0.306817\pi\) | |||||||
\(752\) | −9.67133 | − | 0.606660i | −0.352677 | − | 0.0221226i | ||||
\(753\) | −8.24098 | − | 15.8338i | −0.300318 | − | 0.577017i | ||||
\(754\) | −0.116839 | + | 7.45970i | −0.00425502 | + | 0.271666i | ||||
\(755\) | −13.7167 | −0.499201 | ||||||||
\(756\) | 24.2550 | + | 12.9496i | 0.882148 | + | 0.470973i | ||||
\(757\) | −33.7462 | −1.22653 | −0.613264 | − | 0.789878i | \(-0.710144\pi\) | ||||
−0.613264 | + | 0.789878i | \(0.710144\pi\) | |||||||
\(758\) | 0.714944 | − | 45.6463i | 0.0259679 | − | 1.65795i | ||||
\(759\) | 21.5132 | + | 41.3345i | 0.780880 | + | 1.50035i | ||||
\(760\) | 0.443760 | − | 9.43793i | 0.0160969 | − | 0.342350i | ||||
\(761\) | 38.9857 | − | 22.5084i | 1.41323 | − | 0.815929i | 0.417539 | − | 0.908659i | \(-0.362893\pi\) |
0.995691 | + | 0.0927296i | \(0.0295592\pi\) | |||||||
\(762\) | 37.4391 | − | 18.7466i | 1.35628 | − | 0.679117i | ||||
\(763\) | −0.395877 | − | 1.99734i | −0.0143317 | − | 0.0723087i | ||||
\(764\) | −0.907532 | + | 28.9641i | −0.0328334 | + | 1.04788i | ||||
\(765\) | −15.7253 | − | 33.7370i | −0.568550 | − | 1.21977i | ||||
\(766\) | 12.1356 | + | 21.8010i | 0.438477 | + | 0.787701i | ||||
\(767\) | −6.90035 | − | 3.98392i | −0.249157 | − | 0.143851i | ||||
\(768\) | 9.62218 | + | 25.9887i | 0.347211 | + | 0.937787i | ||||
\(769\) | −16.8566 | − | 9.73214i | −0.607863 | − | 0.350950i | 0.164265 | − | 0.986416i | \(-0.447475\pi\) |
−0.772129 | + | 0.635466i | \(0.780808\pi\) | |||||||
\(770\) | 37.0317 | + | 13.2494i | 1.33453 | + | 0.477476i | ||||
\(771\) | −35.3958 | − | 22.5536i | −1.27475 | − | 0.812247i | ||||
\(772\) | −18.4194 | − | 0.577136i | −0.662929 | − | 0.0207716i | ||||
\(773\) | −1.15063 | + | 0.664319i | −0.0413855 | + | 0.0238939i | −0.520550 | − | 0.853831i | \(-0.674273\pi\) |
0.479165 | + | 0.877725i | \(0.340940\pi\) | |||||||
\(774\) | −0.795514 | + | 7.68958i | −0.0285942 | + | 0.276396i | ||||
\(775\) | −5.79049 | + | 10.0294i | −0.208000 | + | 0.360267i | ||||
\(776\) | 16.7426 | − | 8.64447i | 0.601025 | − | 0.310318i | ||||
\(777\) | 40.3171 | + | 15.7139i | 1.44637 | + | 0.563732i | ||||
\(778\) | 11.2637 | − | 18.8223i | 0.403824 | − | 0.674813i | ||||
\(779\) | −4.09894 | + | 2.36653i | −0.146860 | + | 0.0847896i | ||||
\(780\) | 2.58091 | + | 5.36254i | 0.0924113 | + | 0.192010i | ||||
\(781\) | −10.0468 | + | 17.4016i | −0.359503 | + | 0.622677i | ||||
\(782\) | 23.0607 | − | 38.5357i | 0.824650 | − | 1.37804i | ||||
\(783\) | −17.1378 | − | 41.4023i | −0.612456 | − | 1.47960i | ||||
\(784\) | 21.0780 | + | 18.4314i | 0.752787 | + | 0.658265i | ||||
\(785\) | 16.3689 | + | 28.3517i | 0.584230 | + | 1.01192i | ||||
\(786\) | 21.2585 | − | 32.2379i | 0.758266 | − | 1.14989i | ||||
\(787\) | −34.4903 | −1.22945 | −0.614724 | − | 0.788743i | \(-0.710732\pi\) | ||||
−0.614724 | + | 0.788743i | \(0.710732\pi\) | |||||||
\(788\) | −19.0893 | − | 0.598125i | −0.680028 | − | 0.0213073i | ||||
\(789\) | −0.557726 | + | 12.7508i | −0.0198556 | + | 0.453940i | ||||
\(790\) | −19.0500 | − | 34.2223i | −0.677768 | − | 1.21758i | ||||
\(791\) | −13.9665 | + | 12.2314i | −0.496592 | + | 0.434900i | ||||
\(792\) | −29.3854 | + | 12.0512i | −1.04416 | + | 0.428219i | ||||
\(793\) | 0.665057 | − | 1.15191i | 0.0236169 | − | 0.0409056i | ||||
\(794\) | −41.5884 | − | 24.8875i | −1.47592 | − | 0.883225i | ||||
\(795\) | 0.0730715 | − | 1.67057i | 0.00259158 | − | 0.0592489i | ||||
\(796\) | −15.8438 | − | 29.5419i | −0.561567 | − | 1.04708i | ||||
\(797\) | −18.1134 | − | 10.4578i | −0.641608 | − | 0.370433i | 0.143625 | − | 0.989632i | \(-0.454124\pi\) |
−0.785234 | + | 0.619199i | \(0.787457\pi\) | |||||||
\(798\) | 7.13787 | + | 2.91161i | 0.252678 | + | 0.103070i | ||||
\(799\) | −9.26920 | + | 5.35157i | −0.327921 | + | 0.189325i | ||||
\(800\) | −9.24580 | + | 13.4594i | −0.326888 | + | 0.475863i | ||||
\(801\) | −2.71680 | + | 1.26634i | −0.0959935 | + | 0.0447439i | ||||
\(802\) | 4.71102 | + | 8.46311i | 0.166352 | + | 0.298843i | ||||
\(803\) | 6.53683 | 0.230680 | ||||||||
\(804\) | −45.9312 | + | 22.1059i | −1.61987 | + | 0.779617i | ||||
\(805\) | −40.1757 | + | 35.1846i | −1.41601 | + | 1.24009i | ||||
\(806\) | −2.97837 | − | 1.78233i | −0.104909 | − | 0.0627800i | ||||
\(807\) | −45.0309 | − | 28.6929i | −1.58516 | − | 1.01004i | ||||
\(808\) | −16.9482 | − | 10.8772i | −0.596236 | − | 0.382659i | ||||
\(809\) | 1.33919 | + | 2.31955i | 0.0470835 | + | 0.0815510i | 0.888607 | − | 0.458670i | \(-0.151674\pi\) |
−0.841523 | + | 0.540221i | \(0.818341\pi\) | |||||||
\(810\) | −27.0109 | − | 23.4104i | −0.949065 | − | 0.822556i | ||||
\(811\) | −4.16084 | −0.146107 | −0.0730534 | − | 0.997328i | \(-0.523274\pi\) | ||||
−0.0730534 | + | 0.997328i | \(0.523274\pi\) | |||||||
\(812\) | −7.46549 | − | 45.0165i | −0.261987 | − | 1.57977i | ||||
\(813\) | −32.9675 | − | 1.44202i | −1.15622 | − | 0.0505738i | ||||
\(814\) | −43.6729 | + | 24.3107i | −1.53073 | + | 0.852089i | ||||
\(815\) | −28.6017 | −1.00187 | ||||||||
\(816\) | 24.7339 | + | 18.0322i | 0.865860 | + | 0.631255i | ||||
\(817\) | 2.16743i | 0.0758286i | ||||||||
\(818\) | −0.757487 | + | 48.3625i | −0.0264849 | + | 1.69096i | ||||
\(819\) | −4.82722 | + | 0.524551i | −0.168677 | + | 0.0183293i | ||||
\(820\) | 22.3376 | + | 0.699906i | 0.780064 | + | 0.0244418i | ||||
\(821\) | 11.6582 | 0.406875 | 0.203437 | − | 0.979088i | \(-0.434789\pi\) | ||||
0.203437 | + | 0.979088i | \(0.434789\pi\) | |||||||
\(822\) | −7.36637 | − | 0.437886i | −0.256932 | − | 0.0152730i | ||||
\(823\) | − | 24.4516i | − | 0.852329i | −0.904646 | − | 0.426164i | \(-0.859864\pi\) | ||
0.904646 | − | 0.426164i | \(-0.140136\pi\) | |||||||
\(824\) | 13.9250 | + | 26.9699i | 0.485100 | + | 0.939542i | ||||
\(825\) | −15.7826 | − | 10.0564i | −0.549479 | − | 0.350118i | ||||
\(826\) | 45.8851 | + | 16.4171i | 1.59655 | + | 0.571223i | ||||
\(827\) | − | 1.50378i | − | 0.0522917i | −0.999658 | − | 0.0261458i | \(-0.991677\pi\) | ||
0.999658 | − | 0.0261458i | \(-0.00832343\pi\) | |||||||
\(828\) | 5.10906 | − | 42.8219i | 0.177552 | − | 1.48816i | ||||
\(829\) | −41.9427 | + | 24.2157i | −1.45673 | + | 0.841044i | −0.998849 | − | 0.0479683i | \(-0.984725\pi\) |
−0.457883 | + | 0.889013i | \(0.651392\pi\) | |||||||
\(830\) | 14.8404 | + | 8.88086i | 0.515118 | + | 0.308259i | ||||
\(831\) | 0.434852 | + | 0.0190207i | 0.0150848 | + | 0.000659820i | ||||
\(832\) | −3.99004 | − | 2.83390i | −0.138330 | − | 0.0982478i | ||||
\(833\) | 30.6564 | + | 4.07863i | 1.06218 | + | 0.141316i | ||||
\(834\) | 9.05113 | + | 0.538035i | 0.313415 | + | 0.0186306i | ||||
\(835\) | 39.5277i | 1.36791i | ||||||||
\(836\) | −7.84731 | + | 4.20863i | −0.271405 | + | 0.145559i | ||||
\(837\) | 20.6677 | + | 2.72597i | 0.714382 | + | 0.0942234i | ||||
\(838\) | −14.6070 | + | 24.4092i | −0.504592 | + | 0.843201i | ||||
\(839\) | 5.29494 | + | 9.17110i | 0.182801 | + | 0.316621i | 0.942833 | − | 0.333264i | \(-0.108150\pi\) |
−0.760032 | + | 0.649886i | \(0.774817\pi\) | |||||||
\(840\) | −21.4027 | − | 29.4428i | −0.738462 | − | 1.01587i | ||||
\(841\) | −22.6825 | + | 39.2872i | −0.782154 | + | 1.35473i | ||||
\(842\) | −4.19574 | − | 7.53743i | −0.144595 | − | 0.259757i | ||||
\(843\) | 10.9354 | − | 17.1622i | 0.376637 | − | 0.591097i | ||||
\(844\) | −14.6891 | − | 9.10573i | −0.505619 | − | 0.313432i | ||||
\(845\) | 30.7067 | + | 17.7285i | 1.05634 | + | 0.609880i | ||||
\(846\) | −6.02776 | + | 8.32506i | −0.207239 | + | 0.286221i | ||||
\(847\) | −1.54838 | − | 7.81212i | −0.0532029 | − | 0.268428i | ||||
\(848\) | 0.611645 | + | 1.23158i | 0.0210040 | + | 0.0422925i | ||||
\(849\) | −6.96409 | − | 13.3805i | −0.239007 | − | 0.459217i | ||||
\(850\) | −0.282455 | + | 18.0336i | −0.00968812 | + | 0.618548i | ||||
\(851\) | − | 67.8692i | − | 2.32652i | ||||||
\(852\) | 16.7566 | − | 8.06470i | 0.574072 | − | 0.276292i | ||||
\(853\) | −32.3692 | + | 18.6884i | −1.10830 | + | 0.639877i | −0.938389 | − | 0.345582i | \(-0.887682\pi\) |
−0.169912 | + | 0.985459i | \(0.554348\pi\) | |||||||
\(854\) | −2.74059 | + | 7.65986i | −0.0937811 | + | 0.262115i | ||||
\(855\) | −8.20821 | − | 5.74940i | −0.280715 | − | 0.196625i | ||||
\(856\) | 34.4049 | + | 22.0807i | 1.17593 | + | 0.754704i | ||||
\(857\) | 5.95532 | + | 3.43830i | 0.203430 | + | 0.117450i | 0.598254 | − | 0.801306i | \(-0.295861\pi\) |
−0.394825 | + | 0.918757i | \(0.629195\pi\) | |||||||
\(858\) | 3.08771 | − | 4.68242i | 0.105413 | − | 0.159855i | ||||
\(859\) | −4.32467 | − | 7.49055i | −0.147556 | − | 0.255574i | 0.782768 | − | 0.622314i | \(-0.213807\pi\) |
−0.930324 | + | 0.366740i | \(0.880474\pi\) | |||||||
\(860\) | 5.39216 | − | 8.69847i | 0.183871 | − | 0.296615i | ||||
\(861\) | −6.62170 | + | 16.9893i | −0.225667 | + | 0.578994i | ||||
\(862\) | 33.2153 | − | 18.4894i | 1.13132 | − | 0.629753i | ||||
\(863\) | 26.5454 | + | 15.3260i | 0.903617 | + | 0.521703i | 0.878372 | − | 0.477978i | \(-0.158630\pi\) |
0.0252448 | + | 0.999681i | \(0.491963\pi\) | |||||||
\(864\) | 28.7515 | + | 6.11149i | 0.978146 | + | 0.207917i | ||||
\(865\) | 22.4535 | + | 38.8907i | 0.763443 | + | 1.32232i | ||||
\(866\) | 0.355036 | − | 22.6676i | 0.0120646 | − | 0.770277i | ||||
\(867\) | 4.35946 | + | 0.190685i | 0.148055 | + | 0.00647601i | ||||
\(868\) | 19.8740 | + | 7.46374i | 0.674567 | + | 0.253336i | ||||
\(869\) | −18.4567 | + | 31.9679i | −0.626100 | + | 1.08444i | ||||
\(870\) | −3.52003 | + | 59.2160i | −0.119340 | + | 2.00761i | ||||
\(871\) | 4.50094 | − | 7.79586i | 0.152509 | − | 0.264153i | ||||
\(872\) | −0.998653 | − | 1.93419i | −0.0338187 | − | 0.0655000i | ||||
\(873\) | 1.74502 | − | 19.9092i | 0.0590600 | − | 0.673825i | ||||
\(874\) | 0.189355 | − | 12.0896i | 0.00640504 | − | 0.408936i | ||||
\(875\) | −5.05762 | + | 14.8659i | −0.170979 | + | 0.502558i | ||||
\(876\) | −4.99773 | − | 3.40912i | −0.168858 | − | 0.115183i | ||||
\(877\) | −21.6550 | − | 37.5076i | −0.731239 | − | 1.26654i | −0.956354 | − | 0.292211i | \(-0.905609\pi\) |
0.225115 | − | 0.974332i | \(-0.427724\pi\) | |||||||
\(878\) | −27.8416 | − | 0.436074i | −0.939608 | − | 0.0147168i | ||||
\(879\) | −0.879415 | + | 20.1053i | −0.0296619 | + | 0.678133i | ||||
\(880\) | 41.9637 | + | 2.63228i | 1.41460 | + | 0.0887343i | ||||
\(881\) | − | 16.8008i | − | 0.566034i | −0.959115 | − | 0.283017i | \(-0.908665\pi\) | ||
0.959115 | − | 0.283017i | \(-0.0913353\pi\) | |||||||
\(882\) | 28.4732 | − | 8.44240i | 0.958744 | − | 0.284270i | ||||
\(883\) | − | 12.8684i | − | 0.433055i | −0.976277 | − | 0.216527i | \(-0.930527\pi\) | ||
0.976277 | − | 0.216527i | \(-0.0694731\pi\) | |||||||
\(884\) | −5.40288 | − | 0.169289i | −0.181718 | − | 0.00569379i | ||||
\(885\) | −53.4291 | − | 34.0441i | −1.79600 | − | 1.14438i | ||||
\(886\) | 0.159556 | − | 10.1870i | 0.00536038 | − | 0.342239i | ||||
\(887\) | 24.4526 | + | 42.3532i | 0.821039 | + | 1.42208i | 0.904910 | + | 0.425604i | \(0.139938\pi\) |
−0.0838710 | + | 0.996477i | \(0.526728\pi\) | |||||||
\(888\) | 46.0687 | + | 4.18978i | 1.54596 | + | 0.140600i | ||||
\(889\) | 14.5664 | − | 42.8151i | 0.488541 | − | 1.43597i | ||||
\(890\) | 3.96767 | + | 0.0621444i | 0.132997 | + | 0.00208308i | ||||
\(891\) | −5.86025 | + | 33.1735i | −0.196326 | + | 1.11135i | ||||
\(892\) | 18.6021 | + | 34.6850i | 0.622844 | + | 1.16134i | ||||
\(893\) | −1.44084 | + | 2.49560i | −0.0482158 | + | 0.0835122i | ||||
\(894\) | 15.2381 | − | 23.1081i | 0.509638 | − | 0.772851i | ||||
\(895\) | 2.18356 | − | 3.78203i | 0.0729882 | − | 0.126419i | ||||
\(896\) | 27.1132 | + | 12.6837i | 0.905787 | + | 0.423733i | ||||
\(897\) | 3.51609 | + | 6.75565i | 0.117399 | + | 0.225565i | ||||
\(898\) | −9.08470 | − | 0.142291i | −0.303160 | − | 0.00474830i | ||||
\(899\) | −17.2986 | − | 29.9620i | −0.576940 | − | 0.999289i | ||||
\(900\) | 6.82190 | + | 15.9196i | 0.227397 | + | 0.530653i | ||||
\(901\) | 1.31533 | + | 0.759408i | 0.0438201 | + | 0.0252996i | ||||
\(902\) | −10.2443 | − | 18.4034i | −0.341099 | − | 0.612767i | ||||
\(903\) | 5.22151 | + | 6.51604i | 0.173761 | + | 0.216840i | ||||
\(904\) | −10.7199 | + | 16.7031i | −0.356539 | + | 0.555537i | ||||
\(905\) | 16.5422 | + | 28.6519i | 0.549881 | + | 0.952421i | ||||
\(906\) | 0.709939 | − | 11.9430i | 0.0235861 | − | 0.396779i | ||||
\(907\) | 3.37721 | + | 1.94983i | 0.112138 | + | 0.0647431i | 0.555020 | − | 0.831837i | \(-0.312711\pi\) |
−0.442882 | + | 0.896580i | \(0.646044\pi\) | |||||||
\(908\) | −12.6185 | + | 20.3558i | −0.418760 | + | 0.675531i | ||||
\(909\) | −19.3602 | + | 9.02405i | −0.642137 | + | 0.299309i | ||||
\(910\) | 6.05241 | + | 2.16547i | 0.200635 | + | 0.0717845i | ||||
\(911\) | 19.4469 | − | 11.2277i | 0.644305 | − | 0.371990i | −0.141966 | − | 0.989872i | \(-0.545342\pi\) |
0.786271 | + | 0.617882i | \(0.212009\pi\) | |||||||
\(912\) | 8.19456 | + | 0.874860i | 0.271349 | + | 0.0289695i | ||||
\(913\) | − | 16.2995i | − | 0.539435i | ||||||
\(914\) | 51.5249 | + | 0.807018i | 1.70429 | + | 0.0266938i | ||||
\(915\) | 5.68316 | − | 8.91921i | 0.187880 | − | 0.294860i | ||||
\(916\) | 4.83137 | − | 2.59114i | 0.159633 | − | 0.0856136i | ||||
\(917\) | −8.10930 | − | 40.9143i | −0.267793 | − | 1.35111i | ||||
\(918\) | 30.1885 | − | 11.9458i | 0.996368 | − | 0.394269i | ||||
\(919\) | 27.1929 | + | 15.6998i | 0.897012 | + | 0.517890i | 0.876229 | − | 0.481894i | \(-0.160051\pi\) |
0.0207822 | + | 0.999784i | \(0.493384\pi\) | |||||||
\(920\) | −30.8366 | + | 48.0477i | −1.01665 | + | 1.58409i | ||||
\(921\) | 19.0376 | + | 36.5780i | 0.627310 | + | 1.20528i | ||||
\(922\) | 2.71651 | − | 1.51215i | 0.0894633 | − | 0.0498001i | ||||
\(923\) | −1.64203 | + | 2.84409i | −0.0540482 | + | 0.0936143i | ||||
\(924\) | −13.4528 | + | 31.5575i | −0.442566 | + | 1.03816i | ||||
\(925\) | 13.6285 | + | 23.6052i | 0.448101 | + | 0.776135i | ||||
\(926\) | 4.17830 | + | 2.50039i | 0.137307 | + | 0.0821681i | ||||
\(927\) | 32.0709 | + | 2.81097i | 1.05335 | + | 0.0923245i | ||||
\(928\) | −21.0114 | − | 44.0250i | −0.689734 | − | 1.44519i | ||||
\(929\) | 25.1004i | 0.823516i | 0.911293 | + | 0.411758i | \(0.135085\pi\) | ||||
−0.911293 | + | 0.411758i | \(0.864915\pi\) | |||||||
\(930\) | −23.0396 | − | 15.1929i | −0.755499 | − | 0.498195i | ||||
\(931\) | 7.69706 | − | 3.17591i | 0.252261 | − | 0.104086i | ||||
\(932\) | −17.0864 | + | 27.5633i | −0.559684 | + | 0.902865i | ||||
\(933\) | −19.1628 | − | 36.8185i | −0.627362 | − | 1.20538i | ||||
\(934\) | −0.340788 | + | 0.569475i | −0.0111509 | + | 0.0186338i | ||||
\(935\) | 40.2189 | − | 23.2204i | 1.31530 | − | 0.759387i | ||||
\(936\) | −4.80270 | + | 1.96962i | −0.156981 | + | 0.0643791i | ||||
\(937\) | − | 19.0090i | − | 0.620996i | −0.950574 | − | 0.310498i | \(-0.899504\pi\) | ||
0.950574 | − | 0.310498i | \(-0.100496\pi\) | |||||||
\(938\) | −18.5476 | + | 51.8400i | −0.605601 | + | 1.69264i | ||||
\(939\) | −15.8396 | + | 8.24400i | −0.516907 | + | 0.269033i | ||||
\(940\) | 11.9911 | − | 6.43099i | 0.391106 | − | 0.209756i | ||||
\(941\) | 37.4081i | 1.21947i | 0.792606 | + | 0.609734i | \(0.208724\pi\) | ||||
−0.792606 | + | 0.609734i | \(0.791276\pi\) | |||||||
\(942\) | −25.5328 | + | 12.7848i | −0.831904 | + | 0.416552i | ||||
\(943\) | 28.5995 | 0.931329 | ||||||||
\(944\) | 51.9962 | + | 3.26160i | 1.69233 | + | 0.106156i | ||||
\(945\) | −38.5275 | + | 2.48956i | −1.25330 | + | 0.0809853i | ||||
\(946\) | −9.64409 | − | 0.151052i | −0.313556 | − | 0.00491113i | ||||
\(947\) | 27.1934i | 0.883668i | 0.897097 | + | 0.441834i | \(0.145672\pi\) | ||||
−0.897097 | + | 0.441834i | \(0.854328\pi\) | |||||||
\(948\) | 30.7831 | − | 14.8154i | 0.999788 | − | 0.481182i | ||||
\(949\) | 1.06837 | 0.0346808 | ||||||||
\(950\) | 2.36179 | + | 4.24284i | 0.0766267 | + | 0.137656i | ||||
\(951\) | −10.2146 | − | 19.6259i | −0.331232 | − | 0.636413i | ||||
\(952\) | 32.6970 | − | 4.89760i | 1.05972 | − | 0.158732i | ||||
\(953\) | 25.8339 | 0.836841 | 0.418420 | − | 0.908253i | \(-0.362584\pi\) | ||||
0.418420 | + | 0.908253i | \(0.362584\pi\) | |||||||
\(954\) | 1.45077 | + | 0.150087i | 0.0469703 | + | 0.00485924i | ||||
\(955\) | −20.3450 | − | 35.2386i | −0.658349 | − | 1.14029i | ||||
\(956\) | 6.77611 | + | 4.20049i | 0.219155 | + | 0.135854i | ||||
\(957\) | 49.5921 | − | 25.8110i | 1.60309 | − | 0.834352i | ||||
\(958\) | −5.45852 | + | 9.12148i | −0.176357 | + | 0.294702i | ||||
\(959\) | −5.99623 | + | 5.25131i | −0.193628 | + | 0.169574i | ||||
\(960\) | −30.7105 | − | 23.8976i | −0.991177 | − | 0.771292i | ||||
\(961\) | −14.9042 | −0.480781 | ||||||||
\(962\) | −7.13783 | + | 3.97330i | −0.230133 | + | 0.128104i | ||||
\(963\) | 39.3011 | − | 18.3188i | 1.26646 | − | 0.590316i | ||||
\(964\) | 19.1139 | + | 11.8486i | 0.615617 | + | 0.381619i | ||||
\(965\) | 22.4096 | − | 12.9382i | 0.721392 | − | 0.416496i | ||||
\(966\) | −28.5556 | − | 36.8017i | −0.918760 | − | 1.18408i | ||||
\(967\) | 38.1504 | + | 22.0262i | 1.22683 | + | 0.708313i | 0.966366 | − | 0.257169i | \(-0.0827897\pi\) |
0.260468 | + | 0.965482i | \(0.416123\pi\) | |||||||
\(968\) | −3.90599 | − | 7.56511i | −0.125543 | − | 0.243152i | ||||
\(969\) | 8.07432 | − | 4.20241i | 0.259385 | − | 0.135001i | ||||
\(970\) | −13.5862 | + | 22.7032i | −0.436225 | + | 0.728956i | ||||
\(971\) | −17.9137 | + | 31.0274i | −0.574877 | + | 0.995716i | 0.421178 | + | 0.906978i | \(0.361617\pi\) |
−0.996055 | + | 0.0887384i | \(0.971716\pi\) | |||||||
\(972\) | 21.7812 | − | 22.3065i | 0.698633 | − | 0.715480i | ||||
\(973\) | 7.36763 | − | 6.45233i | 0.236195 | − | 0.206852i | ||||
\(974\) | −15.7499 | + | 8.76726i | −0.504660 | + | 0.280921i | ||||
\(975\) | −2.57948 | − | 1.64360i | −0.0826095 | − | 0.0526373i | ||||
\(976\) | −0.544477 | + | 8.68002i | −0.0174283 | + | 0.277841i | ||||
\(977\) | −39.7811 | −1.27271 | −0.636355 | − | 0.771396i | \(-0.719559\pi\) | ||||
−0.636355 | + | 0.771396i | \(0.719559\pi\) | |||||||
\(978\) | 1.48035 | − | 24.9032i | 0.0473363 | − | 0.796317i | ||||
\(979\) | −1.86991 | − | 3.23877i | −0.0597625 | − | 0.103512i | ||||
\(980\) | −38.7915 | − | 6.40310i | −1.23915 | − | 0.204539i | ||||
\(981\) | −2.30001 | − | 0.201594i | −0.0734338 | − | 0.00643639i | ||||
\(982\) | −23.5206 | − | 14.0753i | −0.750573 | − | 0.449161i | ||||
\(983\) | 1.44927 | − | 2.51020i | 0.0462244 | − | 0.0800630i | −0.841988 | − | 0.539497i | \(-0.818614\pi\) |
0.888212 | + | 0.459434i | \(0.151948\pi\) | |||||||
\(984\) | −1.76554 | + | 19.4130i | −0.0562834 | + | 0.618863i | ||||
\(985\) | 23.2246 | − | 13.4087i | 0.739998 | − | 0.427238i | ||||
\(986\) | −46.2343 | − | 27.6677i | −1.47240 | − | 0.881119i | ||||
\(987\) | 1.68045 | + | 10.9738i | 0.0534894 | + | 0.349298i | ||||
\(988\) | −1.28255 | + | 0.687853i | −0.0408035 | + | 0.0218835i | ||||
\(989\) | 6.54835 | − | 11.3421i | 0.208226 | − | 0.360657i | ||||
\(990\) | 26.1543 | − | 36.1223i | 0.831239 | − | 1.14804i | ||||
\(991\) | −35.6534 | + | 20.5845i | −1.13257 | + | 0.653888i | −0.944579 | − | 0.328283i | \(-0.893530\pi\) |
−0.187988 | + | 0.982171i | \(0.560197\pi\) | |||||||
\(992\) | 22.6255 | + | 1.77537i | 0.718361 | + | 0.0563679i | ||||
\(993\) | 29.1680 | − | 15.1809i | 0.925618 | − | 0.481753i | ||||
\(994\) | 6.76655 | − | 18.9123i | 0.214622 | − | 0.599861i | ||||
\(995\) | 40.7643 | + | 23.5353i | 1.29232 | + | 0.746119i | ||||
\(996\) | −8.50059 | + | 12.4618i | −0.269352 | + | 0.394866i | ||||
\(997\) | 22.2201 | + | 12.8288i | 0.703719 | + | 0.406292i | 0.808731 | − | 0.588179i | \(-0.200155\pi\) |
−0.105012 | + | 0.994471i | \(0.533488\pi\) | |||||||
\(998\) | 26.0346 | − | 14.4923i | 0.824111 | − | 0.458745i | ||||
\(999\) | 29.8781 | − | 38.9186i | 0.945300 | − | 1.23133i |
(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 | 252.2.bj.b.103.1 | yes | 84 | |
3.2 | odd | 2 | 756.2.bj.b.523.42 | 84 | |||
4.3 | odd | 2 | inner | 252.2.bj.b.103.2 | yes | 84 | |
7.3 | odd | 6 | 252.2.n.b.31.29 | yes | 84 | ||
9.2 | odd | 6 | 756.2.n.b.19.15 | 84 | |||
9.7 | even | 3 | 252.2.n.b.187.28 | yes | 84 | ||
12.11 | even | 2 | 756.2.bj.b.523.41 | 84 | |||
21.17 | even | 6 | 756.2.n.b.199.14 | 84 | |||
28.3 | even | 6 | 252.2.n.b.31.28 | ✓ | 84 | ||
36.7 | odd | 6 | 252.2.n.b.187.29 | yes | 84 | ||
36.11 | even | 6 | 756.2.n.b.19.14 | 84 | |||
63.38 | even | 6 | 756.2.bj.b.451.42 | 84 | |||
63.52 | odd | 6 | inner | 252.2.bj.b.115.1 | yes | 84 | |
84.59 | odd | 6 | 756.2.n.b.199.15 | 84 | |||
252.115 | even | 6 | inner | 252.2.bj.b.115.2 | yes | 84 | |
252.227 | odd | 6 | 756.2.bj.b.451.41 | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.n.b.31.28 | ✓ | 84 | 28.3 | even | 6 | ||
252.2.n.b.31.29 | yes | 84 | 7.3 | odd | 6 | ||
252.2.n.b.187.28 | yes | 84 | 9.7 | even | 3 | ||
252.2.n.b.187.29 | yes | 84 | 36.7 | odd | 6 | ||
252.2.bj.b.103.1 | yes | 84 | 1.1 | even | 1 | trivial | |
252.2.bj.b.103.2 | yes | 84 | 4.3 | odd | 2 | inner | |
252.2.bj.b.115.1 | yes | 84 | 63.52 | odd | 6 | inner | |
252.2.bj.b.115.2 | yes | 84 | 252.115 | even | 6 | inner | |
756.2.n.b.19.14 | 84 | 36.11 | even | 6 | |||
756.2.n.b.19.15 | 84 | 9.2 | odd | 6 | |||
756.2.n.b.199.14 | 84 | 21.17 | even | 6 | |||
756.2.n.b.199.15 | 84 | 84.59 | odd | 6 | |||
756.2.bj.b.451.41 | 84 | 252.227 | odd | 6 | |||
756.2.bj.b.451.42 | 84 | 63.38 | even | 6 | |||
756.2.bj.b.523.41 | 84 | 12.11 | even | 2 | |||
756.2.bj.b.523.42 | 84 | 3.2 | odd | 2 |