Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(27,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 10, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.bi (of order \(20\), degree \(8\), 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: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(384\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 27.18 | ||
Character | \(\chi\) | \(=\) | 770.27 |
Dual form | 770.2.bi.a.713.18 |
$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.453990 | + | 0.891007i | −0.321020 | + | 0.630037i | ||||
\(3\) | 0.275125 | + | 1.73707i | 0.158843 | + | 1.00290i | 0.930349 | + | 0.366675i | \(0.119504\pi\) |
−0.771506 | + | 0.636223i | \(0.780496\pi\) | |||||||
\(4\) | −0.587785 | − | 0.809017i | −0.293893 | − | 0.404508i | ||||
\(5\) | −2.06245 | + | 0.863892i | −0.922355 | + | 0.386344i | ||||
\(6\) | −1.67264 | − | 0.543475i | −0.682854 | − | 0.221873i | ||||
\(7\) | 0.347847 | − | 2.62279i | 0.131474 | − | 0.991320i | ||||
\(8\) | 0.987688 | − | 0.156434i | 0.349201 | − | 0.0553079i | ||||
\(9\) | −0.0885490 | + | 0.0287713i | −0.0295163 | + | 0.00959044i | ||||
\(10\) | 0.166598 | − | 2.22985i | 0.0526830 | − | 0.705141i | ||||
\(11\) | 3.20450 | − | 0.855087i | 0.966193 | − | 0.257818i | ||||
\(12\) | 1.24360 | − | 1.24360i | 0.358998 | − | 0.358998i | ||||
\(13\) | 2.26116 | − | 4.43777i | 0.627132 | − | 1.23082i | −0.330767 | − | 0.943712i | \(-0.607308\pi\) |
0.957899 | − | 0.287104i | \(-0.0926925\pi\) | |||||||
\(14\) | 2.17900 | + | 1.50065i | 0.582362 | + | 0.401067i | ||||
\(15\) | −2.06807 | − | 3.34494i | −0.533974 | − | 0.863659i | ||||
\(16\) | −0.309017 | + | 0.951057i | −0.0772542 | + | 0.237764i | ||||
\(17\) | −0.976679 | − | 1.91684i | −0.236879 | − | 0.464902i | 0.741711 | − | 0.670720i | \(-0.234015\pi\) |
−0.978590 | + | 0.205818i | \(0.934015\pi\) | |||||||
\(18\) | 0.0145650 | − | 0.0919597i | 0.00343300 | − | 0.0216751i | ||||
\(19\) | −6.79762 | − | 4.93876i | −1.55948 | − | 1.13303i | −0.936433 | − | 0.350847i | \(-0.885894\pi\) |
−0.623049 | − | 0.782182i | \(-0.714106\pi\) | |||||||
\(20\) | 1.91118 | + | 1.16077i | 0.427353 | + | 0.259557i | ||||
\(21\) | 4.65166 | − | 0.117358i | 1.01508 | − | 0.0256097i | ||||
\(22\) | −0.692925 | + | 3.24343i | −0.147732 | + | 0.691502i | ||||
\(23\) | −0.701422 | + | 0.701422i | −0.146257 | + | 0.146257i | −0.776444 | − | 0.630187i | \(-0.782978\pi\) |
0.630187 | + | 0.776444i | \(0.282978\pi\) | |||||||
\(24\) | 0.543475 | + | 1.67264i | 0.110936 | + | 0.341427i | ||||
\(25\) | 3.50738 | − | 3.56346i | 0.701476 | − | 0.712693i | ||||
\(26\) | 2.92754 | + | 4.02941i | 0.574138 | + | 0.790233i | ||||
\(27\) | 2.32099 | + | 4.55520i | 0.446675 | + | 0.876649i | ||||
\(28\) | −2.32634 | + | 1.26022i | −0.439636 | + | 0.238159i | ||||
\(29\) | −3.12328 | − | 4.29883i | −0.579979 | − | 0.798273i | 0.413714 | − | 0.910407i | \(-0.364231\pi\) |
−0.993693 | + | 0.112134i | \(0.964231\pi\) | |||||||
\(30\) | 3.91925 | − | 0.324095i | 0.715553 | − | 0.0591714i | ||||
\(31\) | 7.37826 | − | 2.39734i | 1.32517 | − | 0.430575i | 0.440906 | − | 0.897554i | \(-0.354657\pi\) |
0.884269 | + | 0.466978i | \(0.154657\pi\) | |||||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | 2.36698 | + | 5.33119i | 0.412039 | + | 0.928041i | ||||
\(34\) | 2.15132 | 0.368948 | ||||||||
\(35\) | 1.54839 | + | 5.70986i | 0.261725 | + | 0.965142i | ||||
\(36\) | 0.0753243 | + | 0.0547263i | 0.0125541 | + | 0.00912105i | ||||
\(37\) | 8.99773 | + | 1.42510i | 1.47922 | + | 0.234285i | 0.843288 | − | 0.537462i | \(-0.180617\pi\) |
0.635929 | + | 0.771747i | \(0.280617\pi\) | |||||||
\(38\) | 7.48653 | − | 3.81458i | 1.21448 | − | 0.618806i | ||||
\(39\) | 8.33082 | + | 2.70685i | 1.33400 | + | 0.433442i | ||||
\(40\) | −1.90191 | + | 1.17589i | −0.300719 | + | 0.185925i | ||||
\(41\) | −6.35564 | + | 8.74779i | −0.992584 | + | 1.36617i | −0.0628175 | + | 0.998025i | \(0.520009\pi\) |
−0.929767 | + | 0.368150i | \(0.879991\pi\) | |||||||
\(42\) | −2.00724 | + | 4.19794i | −0.309724 | + | 0.647756i | ||||
\(43\) | 1.95916 | − | 1.95916i | 0.298769 | − | 0.298769i | −0.541762 | − | 0.840532i | \(-0.682243\pi\) |
0.840532 | + | 0.541762i | \(0.182243\pi\) | |||||||
\(44\) | −2.57534 | − | 2.08989i | −0.388247 | − | 0.315063i | ||||
\(45\) | 0.157772 | − | 0.135836i | 0.0235193 | − | 0.0202493i | ||||
\(46\) | −0.306533 | − | 0.943411i | −0.0451958 | − | 0.139098i | ||||
\(47\) | 2.14101 | − | 0.339102i | 0.312298 | − | 0.0494631i | 0.00168181 | − | 0.999999i | \(-0.499465\pi\) |
0.310616 | + | 0.950535i | \(0.399465\pi\) | |||||||
\(48\) | −1.73707 | − | 0.275125i | −0.250724 | − | 0.0397109i | ||||
\(49\) | −6.75800 | − | 1.82466i | −0.965429 | − | 0.260665i | ||||
\(50\) | 1.58275 | + | 4.74288i | 0.223835 | + | 0.670744i | ||||
\(51\) | 3.06098 | − | 2.22393i | 0.428623 | − | 0.311413i | ||||
\(52\) | −4.91931 | + | 0.779142i | −0.682185 | + | 0.108048i | ||||
\(53\) | 6.19302 | + | 3.15550i | 0.850677 | + | 0.433442i | 0.824261 | − | 0.566209i | \(-0.191591\pi\) |
0.0264158 | + | 0.999651i | \(0.491591\pi\) | |||||||
\(54\) | −5.11242 | −0.695712 | ||||||||
\(55\) | −5.87041 | + | 4.53191i | −0.791566 | + | 0.611083i | ||||
\(56\) | −0.0667292 | − | 2.64491i | −0.00891706 | − | 0.353441i | ||||
\(57\) | 6.70878 | − | 13.1667i | 0.888600 | − | 1.74398i | ||||
\(58\) | 5.24823 | − | 0.831238i | 0.689126 | − | 0.109147i | ||||
\(59\) | −1.75784 | + | 1.27714i | −0.228851 | + | 0.166270i | −0.696302 | − | 0.717749i | \(-0.745172\pi\) |
0.467451 | + | 0.884019i | \(0.345172\pi\) | |||||||
\(60\) | −1.49053 | + | 3.63921i | −0.192427 | + | 0.469820i | ||||
\(61\) | −7.62797 | − | 2.47848i | −0.976661 | − | 0.317336i | −0.223159 | − | 0.974782i | \(-0.571637\pi\) |
−0.753502 | + | 0.657446i | \(0.771637\pi\) | |||||||
\(62\) | −1.21361 | + | 7.66245i | −0.154129 | + | 0.973132i | ||||
\(63\) | 0.0446595 | + | 0.242253i | 0.00562656 | + | 0.0305210i | ||||
\(64\) | 0.951057 | − | 0.309017i | 0.118882 | − | 0.0386271i | ||||
\(65\) | −0.829764 | + | 11.1061i | −0.102920 | + | 1.37754i | ||||
\(66\) | −5.82471 | − | 0.311311i | −0.716972 | − | 0.0383197i | ||||
\(67\) | 0.558566 | + | 0.558566i | 0.0682397 | + | 0.0682397i | 0.740403 | − | 0.672163i | \(-0.234635\pi\) |
−0.672163 | + | 0.740403i | \(0.734635\pi\) | |||||||
\(68\) | −0.976679 | + | 1.91684i | −0.118440 | + | 0.232451i | ||||
\(69\) | −1.41140 | − | 1.02544i | −0.169912 | − | 0.123449i | ||||
\(70\) | −5.79048 | − | 1.21260i | −0.692094 | − | 0.144933i | ||||
\(71\) | 1.94663 | − | 5.99110i | 0.231022 | − | 0.711013i | −0.766602 | − | 0.642122i | \(-0.778054\pi\) |
0.997624 | − | 0.0688903i | \(-0.0219459\pi\) | |||||||
\(72\) | −0.0829580 | + | 0.0422692i | −0.00977670 | + | 0.00498148i | ||||
\(73\) | 0.0331153 | + | 0.00524494i | 0.00387585 | + | 0.000613874i | 0.158372 | − | 0.987380i | \(-0.449375\pi\) |
−0.154496 | + | 0.987993i | \(0.549375\pi\) | |||||||
\(74\) | −5.35466 | + | 7.37005i | −0.622466 | + | 0.856751i | ||||
\(75\) | 7.15495 | + | 5.11217i | 0.826183 | + | 0.590302i | ||||
\(76\) | 8.40233i | 0.963813i | ||||||||
\(77\) | −1.12803 | − | 8.70216i | −0.128551 | − | 0.991703i | ||||
\(78\) | −6.19393 | + | 6.19393i | −0.701325 | + | 0.701325i | ||||
\(79\) | −9.94541 | + | 3.23146i | −1.11895 | + | 0.363568i | −0.809365 | − | 0.587306i | \(-0.800189\pi\) |
−0.309581 | + | 0.950873i | \(0.600189\pi\) | |||||||
\(80\) | −0.184279 | − | 2.22846i | −0.0206030 | − | 0.249150i | ||||
\(81\) | −7.50011 | + | 5.44915i | −0.833346 | + | 0.605461i | ||||
\(82\) | −4.90894 | − | 9.63433i | −0.542101 | − | 1.06393i | ||||
\(83\) | 10.2121 | − | 5.20331i | 1.12092 | − | 0.571137i | 0.207532 | − | 0.978228i | \(-0.433457\pi\) |
0.913388 | + | 0.407091i | \(0.133457\pi\) | |||||||
\(84\) | −2.82912 | − | 3.69429i | −0.308683 | − | 0.403080i | ||||
\(85\) | 3.67029 | + | 3.10964i | 0.398099 | + | 0.337288i | ||||
\(86\) | 0.856185 | + | 2.63507i | 0.0923248 | + | 0.284146i | ||||
\(87\) | 6.60808 | − | 6.60808i | 0.708460 | − | 0.708460i | ||||
\(88\) | 3.03128 | − | 1.34585i | 0.323136 | − | 0.143468i | ||||
\(89\) | −5.20799 | −0.552046 | −0.276023 | − | 0.961151i | \(-0.589017\pi\) | ||||
−0.276023 | + | 0.961151i | \(0.589017\pi\) | |||||||
\(90\) | 0.0494037 | + | 0.202245i | 0.00520761 | + | 0.0213185i | ||||
\(91\) | −10.8528 | − | 7.47420i | −1.13768 | − | 0.783509i | ||||
\(92\) | 0.979748 | + | 0.155177i | 0.102146 | + | 0.0161783i | ||||
\(93\) | 6.19429 | + | 12.1570i | 0.642318 | + | 1.26062i | ||||
\(94\) | −0.669854 | + | 2.06160i | −0.0690902 | + | 0.212638i | ||||
\(95\) | 18.2863 | + | 4.31353i | 1.87614 | + | 0.442559i | ||||
\(96\) | 1.03375 | − | 1.42284i | 0.105507 | − | 0.145218i | ||||
\(97\) | −0.965951 | − | 0.492177i | −0.0980774 | − | 0.0499730i | 0.404264 | − | 0.914642i | \(-0.367528\pi\) |
−0.502341 | + | 0.864670i | \(0.667528\pi\) | |||||||
\(98\) | 4.69385 | − | 5.19305i | 0.474151 | − | 0.524577i | ||||
\(99\) | −0.259153 | + | 0.167915i | −0.0260459 | + | 0.0168761i | ||||
\(100\) | −4.94449 | − | 0.742979i | −0.494449 | − | 0.0742979i | ||||
\(101\) | 9.97231 | − | 3.24020i | 0.992281 | − | 0.322412i | 0.232504 | − | 0.972595i | \(-0.425308\pi\) |
0.759777 | + | 0.650184i | \(0.225308\pi\) | |||||||
\(102\) | 0.591882 | + | 3.73699i | 0.0586050 | + | 0.370018i | ||||
\(103\) | 4.36748 | + | 0.691742i | 0.430341 | + | 0.0681593i | 0.367848 | − | 0.929886i | \(-0.380095\pi\) |
0.0624934 | + | 0.998045i | \(0.480095\pi\) | |||||||
\(104\) | 1.53910 | − | 4.73686i | 0.150921 | − | 0.464487i | ||||
\(105\) | −9.49243 | + | 4.26058i | −0.926366 | + | 0.415790i | ||||
\(106\) | −5.62315 | + | 4.08546i | −0.546168 | + | 0.396815i | ||||
\(107\) | −1.17850 | − | 7.44076i | −0.113930 | − | 0.719325i | −0.976841 | − | 0.213969i | \(-0.931361\pi\) |
0.862911 | − | 0.505356i | \(-0.168639\pi\) | |||||||
\(108\) | 2.32099 | − | 4.55520i | 0.223337 | − | 0.438324i | ||||
\(109\) | − | 15.4718i | − | 1.48193i | −0.671546 | − | 0.740963i | \(-0.734369\pi\) | ||
0.671546 | − | 0.740963i | \(-0.265631\pi\) | |||||||
\(110\) | −1.37285 | − | 7.28802i | −0.130896 | − | 0.694886i | ||||
\(111\) | 16.0218i | 1.52072i | ||||||||
\(112\) | 2.38693 | + | 1.14131i | 0.225543 | + | 0.107843i | ||||
\(113\) | 4.87708 | − | 0.772454i | 0.458797 | − | 0.0726663i | 0.0772419 | − | 0.997012i | \(-0.475389\pi\) |
0.381555 | + | 0.924346i | \(0.375389\pi\) | |||||||
\(114\) | 8.68592 | + | 11.9551i | 0.813511 | + | 1.11970i | ||||
\(115\) | 0.840694 | − | 2.05260i | 0.0783951 | − | 0.191406i | ||||
\(116\) | −1.64201 | + | 5.05358i | −0.152457 | + | 0.469213i | ||||
\(117\) | −0.0725427 | + | 0.458017i | −0.00670658 | + | 0.0423437i | ||||
\(118\) | −0.339901 | − | 2.14605i | −0.0312905 | − | 0.197560i | ||||
\(119\) | −5.36720 | + | 1.89485i | −0.492010 | + | 0.173701i | ||||
\(120\) | −2.56587 | − | 2.98024i | −0.234231 | − | 0.272057i | ||||
\(121\) | 9.53765 | − | 5.48025i | 0.867059 | − | 0.498205i | ||||
\(122\) | 5.67136 | − | 5.67136i | 0.513461 | − | 0.513461i | ||||
\(123\) | −16.9441 | − | 8.63346i | −1.52780 | − | 0.778453i | ||||
\(124\) | −6.27632 | − | 4.56001i | −0.563630 | − | 0.409501i | ||||
\(125\) | −4.15534 | + | 10.3795i | −0.371665 | + | 0.928367i | ||||
\(126\) | −0.236124 | − | 0.0701887i | −0.0210356 | − | 0.00625291i | ||||
\(127\) | −15.3777 | + | 7.83534i | −1.36455 | + | 0.695274i | −0.974262 | − | 0.225417i | \(-0.927625\pi\) |
−0.390290 | + | 0.920692i | \(0.627625\pi\) | |||||||
\(128\) | −0.156434 | + | 0.987688i | −0.0138270 | + | 0.0873001i | ||||
\(129\) | 3.94221 | + | 2.86419i | 0.347093 | + | 0.252177i | ||||
\(130\) | −9.51887 | − | 5.78137i | −0.834860 | − | 0.507060i | ||||
\(131\) | − | 9.23828i | − | 0.807153i | −0.914946 | − | 0.403576i | \(-0.867767\pi\) | ||
0.914946 | − | 0.403576i | \(-0.132233\pi\) | |||||||
\(132\) | 2.92174 | − | 5.04852i | 0.254305 | − | 0.439418i | ||||
\(133\) | −15.3179 | + | 16.1108i | −1.32823 | + | 1.39698i | ||||
\(134\) | −0.751269 | + | 0.244102i | −0.0648998 | + | 0.0210872i | ||||
\(135\) | −8.72212 | − | 7.38978i | −0.750681 | − | 0.636011i | ||||
\(136\) | −1.26451 | − | 1.74045i | −0.108431 | − | 0.149243i | ||||
\(137\) | 5.55427 | − | 2.83004i | 0.474533 | − | 0.241787i | −0.200332 | − | 0.979728i | \(-0.564202\pi\) |
0.674865 | + | 0.737941i | \(0.264202\pi\) | |||||||
\(138\) | 1.55444 | − | 0.792025i | 0.132322 | − | 0.0674216i | ||||
\(139\) | −0.609648 | + | 0.442935i | −0.0517097 | + | 0.0375693i | −0.613340 | − | 0.789819i | \(-0.710174\pi\) |
0.561630 | + | 0.827388i | \(0.310174\pi\) | |||||||
\(140\) | 3.70926 | − | 4.60884i | 0.313489 | − | 0.389518i | ||||
\(141\) | 1.17809 | + | 3.62578i | 0.0992129 | + | 0.305346i | ||||
\(142\) | 4.45436 | + | 4.45436i | 0.373801 | + | 0.373801i | ||||
\(143\) | 3.45120 | − | 16.1543i | 0.288604 | − | 1.35089i | ||||
\(144\) | − | 0.0931060i | − | 0.00775883i | ||||||
\(145\) | 10.1553 | + | 6.16793i | 0.843355 | + | 0.512219i | ||||
\(146\) | −0.0197073 | + | 0.0271248i | −0.00163099 | + | 0.00224486i | ||||
\(147\) | 1.31026 | − | 12.2411i | 0.108069 | − | 1.00963i | ||||
\(148\) | −4.13580 | − | 8.11697i | −0.339961 | − | 0.667211i | ||||
\(149\) | 19.6433 | + | 6.38250i | 1.60924 | + | 0.522874i | 0.969370 | − | 0.245607i | \(-0.0789872\pi\) |
0.639872 | + | 0.768481i | \(0.278987\pi\) | |||||||
\(150\) | −7.80326 | + | 4.05423i | −0.637133 | + | 0.331027i | ||||
\(151\) | −3.26866 | − | 2.37482i | −0.266000 | − | 0.193260i | 0.446788 | − | 0.894640i | \(-0.352568\pi\) |
−0.712788 | + | 0.701380i | \(0.752568\pi\) | |||||||
\(152\) | −7.48653 | − | 3.81458i | −0.607238 | − | 0.309403i | ||||
\(153\) | 0.141634 | + | 0.141634i | 0.0114504 | + | 0.0114504i | ||||
\(154\) | 8.26579 | + | 2.94561i | 0.666077 | + | 0.237364i | ||||
\(155\) | −13.1462 | + | 11.3184i | −1.05593 | + | 0.909117i | ||||
\(156\) | −2.70685 | − | 8.33082i | −0.216721 | − | 0.666999i | ||||
\(157\) | 23.1711 | − | 3.66994i | 1.84925 | − | 0.292893i | 0.869626 | − | 0.493711i | \(-0.164360\pi\) |
0.979629 | + | 0.200818i | \(0.0643601\pi\) | |||||||
\(158\) | 1.63587 | − | 10.3285i | 0.130143 | − | 0.821689i | ||||
\(159\) | −3.77748 | + | 11.6259i | −0.299573 | + | 0.921992i | ||||
\(160\) | 2.06923 | + | 0.847507i | 0.163587 | + | 0.0670013i | ||||
\(161\) | 1.59569 | + | 2.08367i | 0.125758 | + | 0.164216i | ||||
\(162\) | −1.45025 | − | 9.15651i | −0.113942 | − | 0.719404i | ||||
\(163\) | −11.8031 | − | 6.01396i | −0.924488 | − | 0.471050i | −0.0741262 | − | 0.997249i | \(-0.523617\pi\) |
−0.850362 | + | 0.526199i | \(0.823617\pi\) | |||||||
\(164\) | 10.8129 | 0.844342 | ||||||||
\(165\) | −9.48735 | − | 8.95048i | −0.738589 | − | 0.696794i | ||||
\(166\) | 11.4613i | 0.889567i | ||||||||
\(167\) | −3.63983 | − | 1.85459i | −0.281659 | − | 0.143512i | 0.307454 | − | 0.951563i | \(-0.400523\pi\) |
−0.589113 | + | 0.808050i | \(0.700523\pi\) | |||||||
\(168\) | 4.57603 | − | 0.843594i | 0.353049 | − | 0.0650847i | ||||
\(169\) | −6.93977 | − | 9.55177i | −0.533828 | − | 0.734752i | ||||
\(170\) | −4.43699 | + | 1.85851i | −0.340301 | + | 0.142541i | ||||
\(171\) | 0.744018 | + | 0.241746i | 0.0568965 | + | 0.0184868i | ||||
\(172\) | −2.73656 | − | 0.433429i | −0.208661 | − | 0.0330486i | ||||
\(173\) | 3.00912 | + | 18.9988i | 0.228779 | + | 1.44445i | 0.788123 | + | 0.615517i | \(0.211053\pi\) |
−0.559344 | + | 0.828935i | \(0.688947\pi\) | |||||||
\(174\) | 2.88784 | + | 8.88784i | 0.218926 | + | 0.673786i | ||||
\(175\) | −8.12617 | − | 10.4386i | −0.614281 | − | 0.789088i | ||||
\(176\) | −0.177010 | + | 3.31190i | −0.0133426 | + | 0.249644i | ||||
\(177\) | −2.70211 | − | 2.70211i | −0.203103 | − | 0.203103i | ||||
\(178\) | 2.36438 | − | 4.64036i | 0.177218 | − | 0.347809i | ||||
\(179\) | 0.286999 | − | 0.395020i | 0.0214513 | − | 0.0295252i | −0.798157 | − | 0.602450i | \(-0.794191\pi\) |
0.819608 | + | 0.572925i | \(0.194191\pi\) | |||||||
\(180\) | −0.202630 | − | 0.0477981i | −0.0151032 | − | 0.00356266i | ||||
\(181\) | 14.5471 | + | 4.72663i | 1.08127 | + | 0.351327i | 0.794869 | − | 0.606781i | \(-0.207539\pi\) |
0.286406 | + | 0.958108i | \(0.407539\pi\) | |||||||
\(182\) | 11.5866 | − | 6.27669i | 0.858857 | − | 0.465259i | ||||
\(183\) | 2.20664 | − | 13.9322i | 0.163120 | − | 1.02990i | ||||
\(184\) | −0.583060 | + | 0.802513i | −0.0429838 | + | 0.0591621i | ||||
\(185\) | −19.7885 | + | 4.83387i | −1.45488 | + | 0.355393i | ||||
\(186\) | −13.6441 | −1.00043 | ||||||||
\(187\) | −4.76883 | − | 5.30737i | −0.348732 | − | 0.388113i | ||||
\(188\) | −1.53279 | − | 1.53279i | −0.111790 | − | 0.111790i | ||||
\(189\) | 12.7547 | − | 4.50295i | 0.927765 | − | 0.327541i | ||||
\(190\) | −12.1452 | + | 14.3349i | −0.881105 | + | 1.03996i | ||||
\(191\) | −5.58034 | + | 4.05435i | −0.403779 | + | 0.293363i | −0.771078 | − | 0.636740i | \(-0.780282\pi\) |
0.367299 | + | 0.930103i | \(0.380282\pi\) | |||||||
\(192\) | 0.798443 | + | 1.56703i | 0.0576227 | + | 0.113091i | ||||
\(193\) | 4.12860 | + | 8.10282i | 0.297183 | + | 0.583254i | 0.990521 | − | 0.137358i | \(-0.0438610\pi\) |
−0.693339 | + | 0.720612i | \(0.743861\pi\) | |||||||
\(194\) | 0.877065 | − | 0.637225i | 0.0629696 | − | 0.0457501i | ||||
\(195\) | −19.5203 | + | 1.61420i | −1.39788 | + | 0.115595i | ||||
\(196\) | 2.49608 | + | 6.53985i | 0.178291 | + | 0.467132i | ||||
\(197\) | 1.14461 | + | 1.14461i | 0.0815497 | + | 0.0815497i | 0.746705 | − | 0.665155i | \(-0.231635\pi\) |
−0.665155 | + | 0.746705i | \(0.731635\pi\) | |||||||
\(198\) | −0.0319600 | − | 0.307139i | −0.00227130 | − | 0.0218274i | ||||
\(199\) | −9.75976 | −0.691851 | −0.345925 | − | 0.938262i | \(-0.612435\pi\) | ||||
−0.345925 | + | 0.938262i | \(0.612435\pi\) | |||||||
\(200\) | 2.90675 | − | 4.06827i | 0.205538 | − | 0.287670i | ||||
\(201\) | −0.816592 | + | 1.12394i | −0.0575980 | + | 0.0792768i | ||||
\(202\) | −1.64029 | + | 10.3564i | −0.115411 | + | 0.728674i | ||||
\(203\) | −12.3613 | + | 6.69636i | −0.867596 | + | 0.469993i | ||||
\(204\) | −3.59839 | − | 1.16919i | −0.251938 | − | 0.0818596i | ||||
\(205\) | 5.55103 | − | 23.5324i | 0.387701 | − | 1.64358i | ||||
\(206\) | −2.59914 | + | 3.57741i | −0.181091 | + | 0.249250i | ||||
\(207\) | 0.0419294 | − | 0.0822911i | 0.00291430 | − | 0.00571963i | ||||
\(208\) | 3.52183 | + | 3.52183i | 0.244195 | + | 0.244195i | ||||
\(209\) | −26.0061 | − | 10.0137i | −1.79888 | − | 0.692663i | ||||
\(210\) | 0.513268 | − | 10.3921i | 0.0354188 | − | 0.717121i | ||||
\(211\) | −0.676608 | − | 2.08239i | −0.0465796 | − | 0.143357i | 0.925062 | − | 0.379817i | \(-0.124013\pi\) |
−0.971641 | + | 0.236459i | \(0.924013\pi\) | |||||||
\(212\) | −1.08731 | − | 6.86502i | −0.0746769 | − | 0.471491i | ||||
\(213\) | 10.9425 | + | 1.73313i | 0.749769 | + | 0.118752i | ||||
\(214\) | 7.16479 | + | 2.32798i | 0.489775 | + | 0.159138i | ||||
\(215\) | −2.34816 | + | 5.73317i | −0.160143 | + | 0.390999i | ||||
\(216\) | 3.00501 | + | 4.13604i | 0.204465 | + | 0.281422i | ||||
\(217\) | −3.72120 | − | 20.1855i | −0.252612 | − | 1.37028i | ||||
\(218\) | 13.7854 | + | 7.02403i | 0.933668 | + | 0.475727i | ||||
\(219\) | 0.0589665i | 0.00398459i | ||||||||
\(220\) | 7.11694 | + | 2.08547i | 0.479824 | + | 0.140602i | ||||
\(221\) | −10.7149 | −0.720764 | ||||||||
\(222\) | −14.2755 | − | 7.27373i | −0.958108 | − | 0.488181i | ||||
\(223\) | 1.02986 | + | 6.50225i | 0.0689642 | + | 0.435423i | 0.997877 | + | 0.0651248i | \(0.0207445\pi\) |
−0.928913 | + | 0.370298i | \(0.879255\pi\) | |||||||
\(224\) | −2.10055 | + | 1.60862i | −0.140349 | + | 0.107481i | ||||
\(225\) | −0.208050 | + | 0.416453i | −0.0138700 | + | 0.0277636i | ||||
\(226\) | −1.52589 | + | 4.69620i | −0.101500 | + | 0.312386i | ||||
\(227\) | 3.86113 | − | 24.3782i | 0.256272 | − | 1.61804i | −0.438445 | − | 0.898758i | \(-0.644471\pi\) |
0.694718 | − | 0.719282i | \(-0.255529\pi\) | |||||||
\(228\) | −14.5954 | + | 2.31169i | −0.966606 | + | 0.153095i | ||||
\(229\) | −2.57786 | − | 7.93385i | −0.170350 | − | 0.524283i | 0.829041 | − | 0.559188i | \(-0.188887\pi\) |
−0.999391 | + | 0.0349051i | \(0.988887\pi\) | |||||||
\(230\) | 1.44721 | + | 1.68092i | 0.0954264 | + | 0.110837i | ||||
\(231\) | 14.8059 | − | 4.35365i | 0.974157 | − | 0.286449i | ||||
\(232\) | −3.75732 | − | 3.75732i | −0.246680 | − | 0.246680i | ||||
\(233\) | −14.6467 | − | 7.46288i | −0.959539 | − | 0.488910i | −0.0972136 | − | 0.995264i | \(-0.530993\pi\) |
−0.862326 | + | 0.506354i | \(0.830993\pi\) | |||||||
\(234\) | −0.375162 | − | 0.272571i | −0.0245251 | − | 0.0178185i | ||||
\(235\) | −4.12277 | + | 2.54898i | −0.268940 | + | 0.166277i | ||||
\(236\) | 2.06646 | + | 0.671433i | 0.134515 | + | 0.0437066i | ||||
\(237\) | −8.34950 | − | 16.3868i | −0.542358 | − | 1.06444i | ||||
\(238\) | 0.748331 | − | 5.64245i | 0.0485071 | − | 0.365746i | ||||
\(239\) | −15.4095 | + | 21.2094i | −0.996761 | + | 1.37192i | −0.0694689 | + | 0.997584i | \(0.522130\pi\) |
−0.927292 | + | 0.374339i | \(0.877870\pi\) | |||||||
\(240\) | 3.82029 | − | 0.933210i | 0.246599 | − | 0.0602385i | ||||
\(241\) | 14.9517i | 0.963125i | 0.876412 | + | 0.481563i | \(0.159931\pi\) | ||||
−0.876412 | + | 0.481563i | \(0.840069\pi\) | |||||||
\(242\) | 0.552936 | + | 10.9861i | 0.0355441 | + | 0.706213i | ||||
\(243\) | −0.683942 | − | 0.683942i | −0.0438749 | − | 0.0438749i | ||||
\(244\) | 2.47848 | + | 7.62797i | 0.158668 | + | 0.488330i | ||||
\(245\) | 15.5143 | − | 2.07492i | 0.991175 | − | 0.132562i | ||||
\(246\) | 15.3849 | − | 11.1778i | 0.980907 | − | 0.712671i | ||||
\(247\) | −37.2876 | + | 18.9990i | −2.37255 | + | 1.20888i | ||||
\(248\) | 6.91239 | − | 3.52204i | 0.438937 | − | 0.223650i | ||||
\(249\) | 11.8481 | + | 16.3075i | 0.750843 | + | 1.03345i | ||||
\(250\) | −7.36168 | − | 8.41461i | −0.465593 | − | 0.532187i | ||||
\(251\) | −4.61987 | + | 1.50109i | −0.291603 | + | 0.0947477i | −0.451166 | − | 0.892440i | \(-0.648992\pi\) |
0.159562 | + | 0.987188i | \(0.448992\pi\) | |||||||
\(252\) | 0.169737 | − | 0.178523i | 0.0106924 | − | 0.0112459i | ||||
\(253\) | −1.64793 | + | 2.84749i | −0.103605 | + | 0.179020i | ||||
\(254\) | − | 17.2588i | − | 1.08292i | ||||||
\(255\) | −4.39187 | + | 7.23109i | −0.275030 | + | 0.452829i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −0.981998 | + | 6.20009i | −0.0612554 | + | 0.386751i | 0.937946 | + | 0.346783i | \(0.112726\pi\) |
−0.999201 | + | 0.0399687i | \(0.987274\pi\) | |||||||
\(258\) | −4.34174 | + | 2.21222i | −0.270305 | + | 0.137727i | ||||
\(259\) | 6.86757 | − | 23.1034i | 0.426730 | − | 1.43557i | ||||
\(260\) | 9.47272 | − | 5.85669i | 0.587473 | − | 0.363216i | ||||
\(261\) | 0.400247 | + | 0.290796i | 0.0247747 | + | 0.0179998i | ||||
\(262\) | 8.23137 | + | 4.19409i | 0.508536 | + | 0.259112i | ||||
\(263\) | 6.48066 | − | 6.48066i | 0.399615 | − | 0.399615i | −0.478482 | − | 0.878097i | \(-0.658813\pi\) |
0.878097 | + | 0.478482i | \(0.158813\pi\) | |||||||
\(264\) | 3.17182 | + | 4.89527i | 0.195212 | + | 0.301283i | ||||
\(265\) | −15.4988 | − | 1.15796i | −0.952084 | − | 0.0711327i | ||||
\(266\) | −7.40064 | − | 20.9624i | −0.453763 | − | 1.28529i | ||||
\(267\) | −1.43285 | − | 9.04665i | −0.0876889 | − | 0.553646i | ||||
\(268\) | 0.123572 | − | 0.780206i | 0.00754839 | − | 0.0476587i | ||||
\(269\) | −1.55432 | + | 4.78372i | −0.0947688 | + | 0.291668i | −0.987193 | − | 0.159528i | \(-0.949003\pi\) |
0.892425 | + | 0.451197i | \(0.149003\pi\) | |||||||
\(270\) | 10.5441 | − | 4.41658i | 0.641694 | − | 0.268784i | ||||
\(271\) | 6.69194 | + | 9.21066i | 0.406506 | + | 0.559508i | 0.962362 | − | 0.271771i | \(-0.0876093\pi\) |
−0.555856 | + | 0.831279i | \(0.687609\pi\) | |||||||
\(272\) | 2.12483 | − | 0.336541i | 0.128837 | − | 0.0204058i | ||||
\(273\) | 9.99733 | − | 20.9084i | 0.605066 | − | 1.26543i | ||||
\(274\) | 6.23370i | 0.376592i | ||||||||
\(275\) | 8.19234 | − | 14.4182i | 0.494016 | − | 0.869453i | ||||
\(276\) | 1.74458i | 0.105012i | ||||||||
\(277\) | −12.4757 | + | 24.4849i | −0.749592 | + | 1.47116i | 0.128013 | + | 0.991772i | \(0.459140\pi\) |
−0.877605 | + | 0.479384i | \(0.840860\pi\) | |||||||
\(278\) | −0.117884 | − | 0.744289i | −0.00707020 | − | 0.0446395i | ||||
\(279\) | −0.584363 | + | 0.424565i | −0.0349849 | + | 0.0254180i | ||||
\(280\) | 2.42254 | + | 5.39734i | 0.144775 | + | 0.322553i | ||||
\(281\) | −8.33751 | + | 25.6602i | −0.497374 | + | 1.53076i | 0.315850 | + | 0.948809i | \(0.397710\pi\) |
−0.813224 | + | 0.581951i | \(0.802290\pi\) | |||||||
\(282\) | −3.76544 | − | 0.596387i | −0.224228 | − | 0.0355143i | ||||
\(283\) | −2.16946 | − | 13.6974i | −0.128961 | − | 0.814227i | −0.964362 | − | 0.264586i | \(-0.914765\pi\) |
0.835401 | − | 0.549641i | \(-0.185235\pi\) | |||||||
\(284\) | −5.99110 | + | 1.94663i | −0.355506 | + | 0.115511i | ||||
\(285\) | −2.46188 | + | 32.9513i | −0.145829 | + | 1.95187i | ||||
\(286\) | 12.8268 | + | 10.4090i | 0.758464 | + | 0.615494i | ||||
\(287\) | 20.7328 | + | 19.7124i | 1.22382 | + | 1.16358i | ||||
\(288\) | 0.0829580 | + | 0.0422692i | 0.00488835 | + | 0.00249074i | ||||
\(289\) | 7.27197 | − | 10.0090i | 0.427763 | − | 0.588766i | ||||
\(290\) | −10.1061 | + | 6.24829i | −0.593450 | + | 0.366912i | ||||
\(291\) | 0.589188 | − | 1.81333i | 0.0345388 | − | 0.106300i | ||||
\(292\) | −0.0152214 | − | 0.0298737i | −0.000890766 | − | 0.00174823i | ||||
\(293\) | 21.2785 | + | 3.37018i | 1.24310 | + | 0.196888i | 0.743126 | − | 0.669151i | \(-0.233342\pi\) |
0.499976 | + | 0.866039i | \(0.333342\pi\) | |||||||
\(294\) | 10.3121 | + | 6.72481i | 0.601413 | + | 0.392199i | ||||
\(295\) | 2.52213 | − | 4.15262i | 0.146844 | − | 0.241775i | ||||
\(296\) | 9.10988 | 0.529501 | ||||||||
\(297\) | 11.3327 | + | 12.6125i | 0.657590 | + | 0.731851i | ||||
\(298\) | −14.6047 | + | 14.6047i | −0.846029 | + | 0.846029i | ||||
\(299\) | 1.52673 | + | 4.69878i | 0.0882928 | + | 0.271737i | ||||
\(300\) | −0.0697448 | − | 8.79334i | −0.00402672 | − | 0.507684i | ||||
\(301\) | −4.45697 | − | 5.81995i | −0.256895 | − | 0.335456i | ||||
\(302\) | 3.59992 | − | 1.83425i | 0.207152 | − | 0.105549i | ||||
\(303\) | 8.37208 | + | 16.4311i | 0.480963 | + | 0.943944i | ||||
\(304\) | 6.79762 | − | 4.93876i | 0.389870 | − | 0.283257i | ||||
\(305\) | 17.8734 | − | 1.47801i | 1.02343 | − | 0.0846306i | ||||
\(306\) | −0.190497 | + | 0.0618963i | −0.0108900 | + | 0.00353838i | ||||
\(307\) | −13.4825 | + | 13.4825i | −0.769484 | + | 0.769484i | −0.978016 | − | 0.208531i | \(-0.933132\pi\) |
0.208531 | + | 0.978016i | \(0.433132\pi\) | |||||||
\(308\) | −6.37715 | + | 6.02760i | −0.363372 | + | 0.343454i | ||||
\(309\) | 7.77694i | 0.442415i | ||||||||
\(310\) | −4.11651 | − | 16.8518i | −0.233802 | − | 0.957119i | ||||
\(311\) | 10.7891 | − | 14.8499i | 0.611794 | − | 0.842063i | −0.384929 | − | 0.922946i | \(-0.625774\pi\) |
0.996724 | + | 0.0808835i | \(0.0257742\pi\) | |||||||
\(312\) | 8.65170 | + | 1.37029i | 0.489806 | + | 0.0775776i | ||||
\(313\) | −13.5577 | + | 6.90797i | −0.766324 | + | 0.390462i | −0.793031 | − | 0.609182i | \(-0.791498\pi\) |
0.0267065 | + | 0.999643i | \(0.491498\pi\) | |||||||
\(314\) | −7.24951 | + | 22.3117i | −0.409114 | + | 1.25912i | ||||
\(315\) | −0.301388 | − | 0.461053i | −0.0169813 | − | 0.0259774i | ||||
\(316\) | 8.46007 | + | 6.14660i | 0.475916 | + | 0.345773i | ||||
\(317\) | −4.66500 | + | 9.15558i | −0.262012 | + | 0.514228i | −0.984109 | − | 0.177564i | \(-0.943178\pi\) |
0.722097 | + | 0.691792i | \(0.243178\pi\) | |||||||
\(318\) | −8.64379 | − | 8.64379i | −0.484720 | − | 0.484720i | ||||
\(319\) | −13.6844 | − | 11.1049i | −0.766181 | − | 0.621757i | ||||
\(320\) | −1.69455 | + | 1.45894i | −0.0947281 | + | 0.0815573i | ||||
\(321\) | 12.6009 | − | 4.09427i | 0.703312 | − | 0.228520i | ||||
\(322\) | −2.58099 | + | 0.475807i | −0.143833 | + | 0.0265157i | ||||
\(323\) | −2.82772 | + | 17.8535i | −0.157339 | + | 0.993398i | ||||
\(324\) | 8.81691 | + | 2.86479i | 0.489828 | + | 0.159155i | ||||
\(325\) | −7.88310 | − | 23.6225i | −0.437276 | − | 1.31034i | ||||
\(326\) | 10.7170 | − | 7.78633i | 0.593558 | − | 0.431245i | ||||
\(327\) | 26.8755 | − | 4.25666i | 1.48622 | − | 0.235394i | ||||
\(328\) | −4.90894 | + | 9.63433i | −0.271051 | + | 0.531967i | ||||
\(329\) | −0.144649 | − | 5.73336i | −0.00797473 | − | 0.316090i | ||||
\(330\) | 12.2821 | − | 4.38986i | 0.676107 | − | 0.241654i | ||||
\(331\) | −20.9088 | −1.14925 | −0.574625 | − | 0.818417i | \(-0.694852\pi\) | ||||
−0.574625 | + | 0.818417i | \(0.694852\pi\) | |||||||
\(332\) | −10.2121 | − | 5.20331i | −0.560460 | − | 0.285569i | ||||
\(333\) | −0.837742 | + | 0.132685i | −0.0459080 | + | 0.00727111i | ||||
\(334\) | 3.30490 | − | 2.40115i | 0.180836 | − | 0.131385i | ||||
\(335\) | −1.63455 | − | 0.669472i | −0.0893052 | − | 0.0365772i | ||||
\(336\) | −1.32583 | + | 4.46026i | −0.0723299 | + | 0.243327i | ||||
\(337\) | 17.1842 | + | 2.72171i | 0.936084 | + | 0.148261i | 0.605797 | − | 0.795619i | \(-0.292854\pi\) |
0.330287 | + | 0.943881i | \(0.392854\pi\) | |||||||
\(338\) | 11.6613 | − | 1.84697i | 0.634290 | − | 0.100462i | ||||
\(339\) | 2.68361 | + | 8.25931i | 0.145754 | + | 0.448584i | ||||
\(340\) | 0.358406 | − | 4.79713i | 0.0194373 | − | 0.260161i | ||||
\(341\) | 21.5937 | − | 13.9913i | 1.16936 | − | 0.757673i | ||||
\(342\) | −0.553174 | + | 0.553174i | −0.0299122 | + | 0.0299122i | ||||
\(343\) | −7.13644 | + | 17.0901i | −0.385332 | + | 0.922778i | ||||
\(344\) | 1.62856 | − | 2.24152i | 0.0878061 | − | 0.120855i | ||||
\(345\) | 3.79681 | + | 0.895623i | 0.204413 | + | 0.0482187i | ||||
\(346\) | −18.2942 | − | 5.94414i | −0.983501 | − | 0.319559i | ||||
\(347\) | −8.69932 | + | 4.43253i | −0.467004 | + | 0.237950i | −0.671626 | − | 0.740891i | \(-0.734404\pi\) |
0.204622 | + | 0.978841i | \(0.434404\pi\) | |||||||
\(348\) | −9.23018 | − | 1.46192i | −0.494789 | − | 0.0783669i | ||||
\(349\) | 19.5412 | + | 14.1975i | 1.04602 | + | 0.759976i | 0.971451 | − | 0.237240i | \(-0.0762429\pi\) |
0.0745658 | + | 0.997216i | \(0.476243\pi\) | |||||||
\(350\) | 12.9901 | − | 2.50142i | 0.694350 | − | 0.133707i | ||||
\(351\) | 25.4631 | 1.35912 | ||||||||
\(352\) | −2.87056 | − | 1.66129i | −0.153001 | − | 0.0885469i | ||||
\(353\) | −0.769424 | − | 0.769424i | −0.0409523 | − | 0.0409523i | 0.686334 | − | 0.727286i | \(-0.259219\pi\) |
−0.727286 | + | 0.686334i | \(0.759219\pi\) | |||||||
\(354\) | 3.63433 | − | 1.18087i | 0.193162 | − | 0.0627623i | ||||
\(355\) | 1.16085 | + | 14.0380i | 0.0616114 | + | 0.745060i | ||||
\(356\) | 3.06118 | + | 4.21336i | 0.162242 | + | 0.223307i | ||||
\(357\) | −4.76814 | − | 8.80187i | −0.252357 | − | 0.465845i | ||||
\(358\) | 0.221671 | + | 0.435053i | 0.0117157 | + | 0.0229933i | ||||
\(359\) | 7.37721 | + | 10.1539i | 0.389354 | + | 0.535900i | 0.958032 | − | 0.286660i | \(-0.0925450\pi\) |
−0.568678 | + | 0.822560i | \(0.692545\pi\) | |||||||
\(360\) | 0.134581 | − | 0.158845i | 0.00709302 | − | 0.00837186i | ||||
\(361\) | 15.9450 | + | 49.0736i | 0.839210 | + | 2.58282i | ||||
\(362\) | −10.8157 | + | 10.8157i | −0.568460 | + | 0.568460i | ||||
\(363\) | 12.1436 | + | 15.0598i | 0.637375 | + | 0.790435i | ||||
\(364\) | 0.332353 | + | 13.1733i | 0.0174200 | + | 0.690469i | ||||
\(365\) | −0.0728296 | + | 0.0177906i | −0.00381207 | + | 0.000931202i | ||||
\(366\) | 11.4119 | + | 8.29122i | 0.596509 | + | 0.433389i | ||||
\(367\) | 1.46111 | − | 9.22511i | 0.0762696 | − | 0.481547i | −0.919757 | − | 0.392489i | \(-0.871614\pi\) |
0.996026 | − | 0.0890584i | \(-0.0283858\pi\) | |||||||
\(368\) | −0.450341 | − | 0.883844i | −0.0234756 | − | 0.0460735i | ||||
\(369\) | 0.311100 | − | 0.957468i | 0.0161952 | − | 0.0498438i | ||||
\(370\) | 4.67677 | − | 19.8262i | 0.243134 | − | 1.03071i | ||||
\(371\) | 10.4304 | − | 15.1453i | 0.541521 | − | 0.786307i | ||||
\(372\) | 6.19429 | − | 12.1570i | 0.321159 | − | 0.630310i | ||||
\(373\) | 14.4659 | − | 14.4659i | 0.749016 | − | 0.749016i | −0.225278 | − | 0.974294i | \(-0.572329\pi\) |
0.974294 | + | 0.225278i | \(0.0723291\pi\) | |||||||
\(374\) | 6.89391 | − | 1.83957i | 0.356475 | − | 0.0951216i | ||||
\(375\) | −19.1731 | − | 4.36247i | −0.990094 | − | 0.225277i | ||||
\(376\) | 2.06160 | − | 0.669854i | 0.106319 | − | 0.0345451i | ||||
\(377\) | −26.1395 | + | 4.14008i | −1.34625 | + | 0.213225i | ||||
\(378\) | −1.77834 | + | 13.4088i | −0.0914681 | + | 0.689673i | ||||
\(379\) | 18.1318 | + | 5.89139i | 0.931370 | + | 0.302620i | 0.735123 | − | 0.677934i | \(-0.237125\pi\) |
0.196247 | + | 0.980555i | \(0.437125\pi\) | |||||||
\(380\) | −7.25870 | − | 17.3294i | −0.372364 | − | 0.888977i | ||||
\(381\) | −17.8413 | − | 24.5565i | −0.914039 | − | 1.25807i | ||||
\(382\) | −1.07903 | − | 6.81275i | −0.0552082 | − | 0.348571i | ||||
\(383\) | −15.1504 | + | 29.7343i | −0.774148 | + | 1.51935i | 0.0785283 | + | 0.996912i | \(0.474978\pi\) |
−0.852676 | + | 0.522439i | \(0.825022\pi\) | |||||||
\(384\) | −1.75872 | −0.0897494 | ||||||||
\(385\) | 9.84423 | + | 16.9732i | 0.501708 | + | 0.865037i | ||||
\(386\) | −9.09401 | −0.462873 | ||||||||
\(387\) | −0.117114 | + | 0.229849i | −0.00595325 | + | 0.0116839i | ||||
\(388\) | 0.169592 | + | 1.07076i | 0.00860975 | + | 0.0543598i | ||||
\(389\) | −9.94151 | − | 13.6833i | −0.504054 | − | 0.693771i | 0.478848 | − | 0.877898i | \(-0.341054\pi\) |
−0.982903 | + | 0.184126i | \(0.941054\pi\) | |||||||
\(390\) | 7.42377 | − | 18.1255i | 0.375917 | − | 0.917823i | ||||
\(391\) | 2.02958 | + | 0.659450i | 0.102640 | + | 0.0333498i | ||||
\(392\) | −6.96024 | − | 0.745009i | −0.351545 | − | 0.0376286i | ||||
\(393\) | 16.0475 | − | 2.54168i | 0.809492 | − | 0.128211i | ||||
\(394\) | −1.53949 | + | 0.500211i | −0.0775584 | + | 0.0252003i | ||||
\(395\) | 17.7203 | − | 15.2565i | 0.891603 | − | 0.767637i | ||||
\(396\) | 0.288173 | + | 0.110962i | 0.0144812 | + | 0.00557604i | ||||
\(397\) | 16.0721 | − | 16.0721i | 0.806634 | − | 0.806634i | −0.177489 | − | 0.984123i | \(-0.556797\pi\) |
0.984123 | + | 0.177489i | \(0.0567974\pi\) | |||||||
\(398\) | 4.43084 | − | 8.69601i | 0.222098 | − | 0.435891i | ||||
\(399\) | −32.1999 | − | 22.1757i | −1.61201 | − | 1.11017i | ||||
\(400\) | 2.30522 | + | 4.43689i | 0.115261 | + | 0.221844i | ||||
\(401\) | −3.90277 | + | 12.0115i | −0.194895 | + | 0.599825i | 0.805083 | + | 0.593162i | \(0.202121\pi\) |
−0.999978 | + | 0.00666252i | \(0.997879\pi\) | |||||||
\(402\) | −0.630715 | − | 1.23785i | −0.0314572 | − | 0.0617383i | ||||
\(403\) | 6.04455 | − | 38.1638i | 0.301100 | − | 1.90107i | ||||
\(404\) | −8.48295 | − | 6.16322i | −0.422043 | − | 0.306632i | ||||
\(405\) | 10.7611 | − | 17.7179i | 0.534724 | − | 0.880408i | ||||
\(406\) | −0.354575 | − | 14.0541i | −0.0175973 | − | 0.697494i | ||||
\(407\) | 30.0518 | − | 3.12710i | 1.48961 | − | 0.155005i | ||||
\(408\) | 2.67539 | − | 2.67539i | 0.132452 | − | 0.132452i | ||||
\(409\) | 4.38734 | + | 13.5028i | 0.216940 | + | 0.667672i | 0.999010 | + | 0.0444820i | \(0.0141637\pi\) |
−0.782070 | + | 0.623190i | \(0.785836\pi\) | |||||||
\(410\) | 18.4474 | + | 15.6295i | 0.911054 | + | 0.771886i | ||||
\(411\) | 6.44410 | + | 8.86954i | 0.317864 | + | 0.437502i | ||||
\(412\) | −2.00751 | − | 3.93996i | −0.0989030 | − | 0.194108i | ||||
\(413\) | 2.73821 | + | 5.05468i | 0.134739 | + | 0.248724i | ||||
\(414\) | 0.0542864 | + | 0.0747188i | 0.00266803 | + | 0.00367223i | ||||
\(415\) | −16.5668 | + | 19.5537i | −0.813230 | + | 0.959852i | ||||
\(416\) | −4.73686 | + | 1.53910i | −0.232244 | + | 0.0754605i | ||||
\(417\) | −0.937139 | − | 0.937139i | −0.0458919 | − | 0.0458919i | ||||
\(418\) | 20.7288 | − | 18.6254i | 1.01388 | − | 0.911000i | ||||
\(419\) | −20.1673 | −0.985235 | −0.492618 | − | 0.870246i | \(-0.663960\pi\) | ||||
−0.492618 | + | 0.870246i | \(0.663960\pi\) | |||||||
\(420\) | 9.02639 | + | 5.17523i | 0.440443 | + | 0.252525i | ||||
\(421\) | −19.3015 | − | 14.0234i | −0.940699 | − | 0.683458i | 0.00788990 | − | 0.999969i | \(-0.497489\pi\) |
−0.948589 | + | 0.316511i | \(0.897489\pi\) | |||||||
\(422\) | 2.16259 | + | 0.342521i | 0.105273 | + | 0.0166737i | ||||
\(423\) | −0.179828 | + | 0.0916268i | −0.00874352 | + | 0.00445505i | ||||
\(424\) | 6.61041 | + | 2.14785i | 0.321030 | + | 0.104309i | ||||
\(425\) | −10.2562 | − | 3.24273i | −0.497498 | − | 0.157295i | ||||
\(426\) | −6.51203 | + | 8.96304i | −0.315509 | + | 0.434261i | ||||
\(427\) | −9.15388 | + | 19.1444i | −0.442987 | + | 0.926462i | ||||
\(428\) | −5.32699 | + | 5.32699i | −0.257490 | + | 0.257490i | ||||
\(429\) | 29.0107 | + | 1.55052i | 1.40065 | + | 0.0748599i | ||||
\(430\) | −4.04225 | − | 4.69503i | −0.194935 | − | 0.226415i | ||||
\(431\) | −7.24649 | − | 22.3024i | −0.349051 | − | 1.07427i | −0.959379 | − | 0.282120i | \(-0.908962\pi\) |
0.610328 | − | 0.792149i | \(-0.291038\pi\) | |||||||
\(432\) | −5.04948 | + | 0.799759i | −0.242943 | + | 0.0384784i | ||||
\(433\) | −17.2571 | − | 2.73325i | −0.829322 | − | 0.131352i | −0.272681 | − | 0.962105i | \(-0.587910\pi\) |
−0.556641 | + | 0.830753i | \(0.687910\pi\) | |||||||
\(434\) | 19.6748 | + | 5.84841i | 0.944421 | + | 0.280732i | ||||
\(435\) | −7.92015 | + | 19.3375i | −0.379742 | + | 0.927161i | ||||
\(436\) | −12.5169 | + | 9.09407i | −0.599451 | + | 0.435527i | ||||
\(437\) | 8.23216 | − | 1.30385i | 0.393798 | − | 0.0623714i | ||||
\(438\) | −0.0525396 | − | 0.0267702i | −0.00251044 | − | 0.00127913i | ||||
\(439\) | −1.01542 | −0.0484636 | −0.0242318 | − | 0.999706i | \(-0.507714\pi\) | ||||
−0.0242318 | + | 0.999706i | \(0.507714\pi\) | |||||||
\(440\) | −5.08919 | + | 5.39445i | −0.242618 | + | 0.257170i | ||||
\(441\) | 0.650913 | − | 0.0328650i | 0.0309958 | − | 0.00156500i | ||||
\(442\) | 4.86447 | − | 9.54707i | 0.231379 | − | 0.454108i | ||||
\(443\) | −22.7315 | + | 3.60031i | −1.08001 | + | 0.171056i | −0.670986 | − | 0.741470i | \(-0.734129\pi\) |
−0.409019 | + | 0.912526i | \(0.634129\pi\) | |||||||
\(444\) | 12.9619 | − | 9.41735i | 0.615143 | − | 0.446928i | ||||
\(445\) | 10.7412 | − | 4.49914i | 0.509182 | − | 0.213280i | ||||
\(446\) | −6.26110 | − | 2.03435i | −0.296471 | − | 0.0963294i | ||||
\(447\) | −5.68248 | + | 35.8778i | −0.268772 | + | 1.69696i | ||||
\(448\) | −0.479663 | − | 2.60191i | −0.0226619 | − | 0.122929i | ||||
\(449\) | 34.6662 | − | 11.2637i | 1.63600 | − | 0.531568i | 0.660358 | − | 0.750951i | \(-0.270404\pi\) |
0.975639 | + | 0.219383i | \(0.0704043\pi\) | |||||||
\(450\) | −0.276610 | − | 0.374439i | −0.0130395 | − | 0.0176512i | ||||
\(451\) | −12.8865 | + | 33.4669i | −0.606803 | + | 1.57590i | ||||
\(452\) | −3.49160 | − | 3.49160i | −0.164231 | − | 0.164231i | ||||
\(453\) | 3.22594 | − | 6.33126i | 0.151568 | − | 0.297468i | ||||
\(454\) | 19.9682 | + | 14.5078i | 0.937156 | + | 0.680884i | ||||
\(455\) | 28.8402 | + | 6.03951i | 1.35205 | + | 0.283137i | ||||
\(456\) | 4.56646 | − | 14.0541i | 0.213844 | − | 0.658144i | ||||
\(457\) | −13.4019 | + | 6.82862i | −0.626916 | + | 0.319430i | −0.738427 | − | 0.674334i | \(-0.764431\pi\) |
0.111511 | + | 0.993763i | \(0.464431\pi\) | |||||||
\(458\) | 8.23943 | + | 1.30500i | 0.385003 | + | 0.0609786i | ||||
\(459\) | 6.46473 | − | 8.89794i | 0.301748 | − | 0.415320i | ||||
\(460\) | −2.15474 | + | 0.526352i | −0.100465 | + | 0.0245413i | ||||
\(461\) | − | 16.1318i | − | 0.751332i | −0.926755 | − | 0.375666i | \(-0.877414\pi\) | ||
0.926755 | − | 0.375666i | \(-0.122586\pi\) | |||||||
\(462\) | −2.84261 | + | 15.1687i | −0.132250 | + | 0.705711i | ||||
\(463\) | 24.3880 | − | 24.3880i | 1.13340 | − | 1.13340i | 0.143798 | − | 0.989607i | \(-0.454069\pi\) |
0.989607 | − | 0.143798i | \(-0.0459315\pi\) | |||||||
\(464\) | 5.05358 | − | 1.64201i | 0.234607 | − | 0.0762283i | ||||
\(465\) | −23.2777 | − | 19.7219i | −1.07948 | − | 0.914583i | ||||
\(466\) | 13.2990 | − | 9.66226i | 0.616062 | − | 0.447595i | ||||
\(467\) | −0.0342709 | − | 0.0672604i | −0.00158587 | − | 0.00311244i | 0.890212 | − | 0.455546i | \(-0.150556\pi\) |
−0.891798 | + | 0.452434i | \(0.850556\pi\) | |||||||
\(468\) | 0.413183 | − | 0.210527i | 0.0190994 | − | 0.00973162i | ||||
\(469\) | 1.65929 | − | 1.27070i | 0.0766190 | − | 0.0586756i | ||||
\(470\) | −0.399460 | − | 4.83062i | −0.0184257 | − | 0.222820i | ||||
\(471\) | 12.7499 | + | 39.2401i | 0.587484 | + | 1.80809i | ||||
\(472\) | −1.53640 | + | 1.53640i | −0.0707188 | + | 0.0707188i | ||||
\(473\) | 4.60288 | − | 7.95339i | 0.211641 | − | 0.365697i | ||||
\(474\) | 18.3914 | 0.844743 | ||||||||
\(475\) | −41.4410 | + | 6.90096i | −1.90144 | + | 0.316638i | ||||
\(476\) | 4.68773 | + | 3.22839i | 0.214862 | + | 0.147973i | ||||
\(477\) | −0.639174 | − | 0.101235i | −0.0292658 | − | 0.00463524i | ||||
\(478\) | −11.9019 | − | 23.3589i | −0.544382 | − | 1.06841i | ||||
\(479\) | −12.5566 | + | 38.6452i | −0.573726 | + | 1.76575i | 0.0667519 | + | 0.997770i | \(0.478736\pi\) |
−0.640478 | + | 0.767977i | \(0.721264\pi\) | |||||||
\(480\) | −0.902881 | + | 3.82758i | −0.0412107 | + | 0.174704i | ||||
\(481\) | 26.6695 | − | 36.7075i | 1.21603 | − | 1.67372i | ||||
\(482\) | −13.3221 | − | 6.78794i | −0.606804 | − | 0.309182i | ||||
\(483\) | −3.18046 | + | 3.34510i | −0.144716 | + | 0.152207i | ||||
\(484\) | −10.0397 | − | 4.49491i | −0.456350 | − | 0.204314i | ||||
\(485\) | 2.41741 | + | 0.180611i | 0.109769 | + | 0.00820113i | ||||
\(486\) | 0.919900 | − | 0.298893i | 0.0417275 | − | 0.0135581i | ||||
\(487\) | 3.01282 | + | 19.0222i | 0.136524 | + | 0.861978i | 0.956956 | + | 0.290234i | \(0.0937331\pi\) |
−0.820432 | + | 0.571744i | \(0.806267\pi\) | |||||||
\(488\) | −7.92177 | − | 1.25469i | −0.358602 | − | 0.0567969i | ||||
\(489\) | 7.19936 | − | 22.1573i | 0.325566 | − | 1.00199i | ||||
\(490\) | −5.19459 | + | 14.7654i | −0.234668 | + | 0.667032i | ||||
\(491\) | 14.7073 | − | 10.6855i | 0.663732 | − | 0.482229i | −0.204190 | − | 0.978931i | \(-0.565456\pi\) |
0.867921 | + | 0.496702i | \(0.165456\pi\) | |||||||
\(492\) | 2.97489 | + | 18.7827i | 0.134118 | + | 0.846789i | ||||
\(493\) | −5.18973 | + | 10.1854i | −0.233734 | + | 0.458728i | ||||
\(494\) | − | 41.8488i | − | 1.88287i | ||||||
\(495\) | 0.389430 | − | 0.570196i | 0.0175036 | − | 0.0256284i | ||||
\(496\) | 7.75796i | 0.348343i | ||||||||
\(497\) | −15.0362 | − | 7.18957i | −0.674467 | − | 0.322496i | ||||
\(498\) | −19.9090 | + | 3.15328i | −0.892145 | + | 0.141302i | ||||
\(499\) | −12.8045 | − | 17.6238i | −0.573206 | − | 0.788950i | 0.419724 | − | 0.907652i | \(-0.362127\pi\) |
−0.992930 | + | 0.118701i | \(0.962127\pi\) | |||||||
\(500\) | 10.8396 | − | 2.73915i | 0.484762 | − | 0.122498i | ||||
\(501\) | 2.22014 | − | 6.83289i | 0.0991886 | − | 0.305271i | ||||
\(502\) | 0.759898 | − | 4.79781i | 0.0339159 | − | 0.214137i | ||||
\(503\) | 1.05459 | + | 6.65842i | 0.0470218 | + | 0.296884i | 0.999981 | − | 0.00621555i | \(-0.00197848\pi\) |
−0.952959 | + | 0.303100i | \(0.901978\pi\) | |||||||
\(504\) | 0.0820064 | + | 0.232284i | 0.00365285 | + | 0.0103468i | ||||
\(505\) | −17.7682 | + | 15.2977i | −0.790673 | + | 0.680740i | ||||
\(506\) | −1.78898 | − | 2.76105i | −0.0795300 | − | 0.122744i | ||||
\(507\) | 14.6828 | − | 14.6828i | 0.652086 | − | 0.652086i | ||||
\(508\) | 15.3777 | + | 7.83534i | 0.682276 | + | 0.347637i | ||||
\(509\) | 0.599341 | + | 0.435447i | 0.0265653 | + | 0.0193008i | 0.600989 | − | 0.799258i | \(-0.294774\pi\) |
−0.574423 | + | 0.818558i | \(0.694774\pi\) | |||||||
\(510\) | −4.44908 | − | 7.19603i | −0.197009 | − | 0.318646i | ||||
\(511\) | 0.0252754 | − | 0.0850298i | 0.00111812 | − | 0.00376150i | ||||
\(512\) | 0.891007 | − | 0.453990i | 0.0393773 | − | 0.0200637i | ||||
\(513\) | 6.71983 | − | 42.4274i | 0.296688 | − | 1.87321i | ||||
\(514\) | −5.07851 | − | 3.68975i | −0.224003 | − | 0.162748i | ||||
\(515\) | −9.60530 | + | 2.34635i | −0.423260 | + | 0.103393i | ||||
\(516\) | − | 4.87284i | − | 0.214515i | ||||||
\(517\) | 6.57090 | − | 2.91740i | 0.288988 | − | 0.128307i | ||||
\(518\) | 17.4675 | + | 16.6078i | 0.767476 | + | 0.729703i | ||||
\(519\) | −32.1744 | + | 10.4541i | −1.41230 | + | 0.458884i | ||||
\(520\) | 0.917823 | + | 11.0991i | 0.0402492 | + | 0.486729i | ||||
\(521\) | −11.1859 | − | 15.3961i | −0.490065 | − | 0.674517i | 0.490335 | − | 0.871534i | \(-0.336874\pi\) |
−0.980400 | + | 0.197017i | \(0.936874\pi\) | |||||||
\(522\) | −0.440810 | + | 0.224604i | −0.0192937 | + | 0.00983064i | ||||
\(523\) | 22.7973 | − | 11.6158i | 0.996857 | − | 0.507924i | 0.122117 | − | 0.992516i | \(-0.461032\pi\) |
0.874741 | + | 0.484592i | \(0.161032\pi\) | |||||||
\(524\) | −7.47393 | + | 5.43013i | −0.326500 | + | 0.237216i | ||||
\(525\) | 15.8970 | − | 16.9877i | 0.693800 | − | 0.741402i | ||||
\(526\) | 2.83215 | + | 8.71647i | 0.123488 | + | 0.380056i | ||||
\(527\) | −11.8015 | − | 11.8015i | −0.514082 | − | 0.514082i | ||||
\(528\) | −5.80170 | + | 0.603707i | −0.252487 | + | 0.0262730i | ||||
\(529\) | 22.0160i | 0.957218i | ||||||||
\(530\) | 8.06806 | − | 13.2838i | 0.350454 | − | 0.577013i | ||||
\(531\) | 0.118910 | − | 0.163665i | 0.00516024 | − | 0.00710245i | ||||
\(532\) | 22.0375 | + | 2.92273i | 0.955447 | + | 0.126716i | ||||
\(533\) | 24.4496 | + | 47.9850i | 1.05903 | + | 2.07846i | ||||
\(534\) | 8.71112 | + | 2.83042i | 0.376967 | + | 0.122484i | ||||
\(535\) | 8.85860 | + | 14.3281i | 0.382991 | + | 0.619457i | ||||
\(536\) | 0.639068 | + | 0.464310i | 0.0276035 | + | 0.0200551i | ||||
\(537\) | 0.765137 | + | 0.389857i | 0.0330181 | + | 0.0168236i | ||||
\(538\) | −3.55668 | − | 3.55668i | −0.153339 | − | 0.153339i | ||||
\(539\) | −23.2163 | − | 0.0684389i | −0.999996 | − | 0.00294787i | ||||
\(540\) | −0.851721 | + | 11.3999i | −0.0366522 | + | 0.490576i | ||||
\(541\) | 5.19104 | + | 15.9764i | 0.223180 | + | 0.686878i | 0.998471 | + | 0.0552737i | \(0.0176031\pi\) |
−0.775291 | + | 0.631604i | \(0.782397\pi\) | |||||||
\(542\) | −11.2448 | + | 1.78101i | −0.483007 | + | 0.0765008i | ||||
\(543\) | −4.20822 | + | 26.5697i | −0.180592 | + | 1.14021i | ||||
\(544\) | −0.664794 | + | 2.04603i | −0.0285028 | + | 0.0877227i | ||||
\(545\) | 13.3659 | + | 31.9097i | 0.572533 | + | 1.36686i | ||||
\(546\) | 14.0908 | + | 18.3999i | 0.603031 | + | 0.787443i | ||||
\(547\) | −4.63043 | − | 29.2354i | −0.197983 | − | 1.25001i | −0.863775 | − | 0.503878i | \(-0.831906\pi\) |
0.665792 | − | 0.746137i | \(-0.268094\pi\) | |||||||
\(548\) | −5.55427 | − | 2.83004i | −0.237267 | − | 0.120893i | ||||
\(549\) | 0.746758 | 0.0318709 | ||||||||
\(550\) | 9.12750 | + | 13.8452i | 0.389198 | + | 0.590360i | ||||
\(551\) | 44.6470i | 1.90203i | ||||||||
\(552\) | −1.55444 | − | 0.792025i | −0.0661612 | − | 0.0337108i | ||||
\(553\) | 5.01594 | + | 27.2087i | 0.213299 | + | 1.15703i | ||||
\(554\) | −16.1524 | − | 22.2318i | −0.686249 | − | 0.944541i | ||||
\(555\) | −13.8411 | − | 33.0440i | −0.587521 | − | 1.40264i | ||||
\(556\) | 0.716684 | + | 0.232865i | 0.0303942 | + | 0.00987567i | ||||
\(557\) | 37.6988 | + | 5.97090i | 1.59735 | + | 0.252995i | 0.890708 | − | 0.454577i | \(-0.150209\pi\) |
0.706641 | + | 0.707572i | \(0.250209\pi\) | |||||||
\(558\) | −0.112995 | − | 0.713419i | −0.00478344 | − | 0.0302015i | ||||
\(559\) | −4.26434 | − | 13.1243i | −0.180362 | − | 0.555098i | ||||
\(560\) | −5.90888 | − | 0.291841i | −0.249696 | − | 0.0123325i | ||||
\(561\) | 7.90725 | − | 9.74399i | 0.333844 | − | 0.411391i | ||||
\(562\) | −19.0783 | − | 19.0783i | −0.804768 | − | 0.804768i | ||||
\(563\) | −6.45077 | + | 12.6603i | −0.271867 | + | 0.533570i | −0.986062 | − | 0.166377i | \(-0.946793\pi\) |
0.714195 | + | 0.699947i | \(0.246793\pi\) | |||||||
\(564\) | 2.24086 | − | 3.08427i | 0.0943571 | − | 0.129871i | ||||
\(565\) | −9.39141 | + | 5.80642i | −0.395099 | + | 0.244278i | ||||
\(566\) | 13.1894 | + | 4.28550i | 0.554392 | + | 0.180133i | ||||
\(567\) | 11.6831 | + | 21.5667i | 0.490642 | + | 0.905714i | ||||
\(568\) | 0.985445 | − | 6.22186i | 0.0413484 | − | 0.261063i | ||||
\(569\) | −22.7136 | + | 31.2626i | −0.952203 | + | 1.31059i | −0.00166107 | + | 0.999999i | \(0.500529\pi\) |
−0.950542 | + | 0.310596i | \(0.899471\pi\) | |||||||
\(570\) | −28.2422 | − | 17.1532i | −1.18294 | − | 0.718467i | ||||
\(571\) | −22.4947 | −0.941372 | −0.470686 | − | 0.882301i | \(-0.655994\pi\) | ||||
−0.470686 | + | 0.882301i | \(0.655994\pi\) | |||||||
\(572\) | −15.0977 | + | 6.70319i | −0.631266 | + | 0.280275i | ||||
\(573\) | −8.57798 | − | 8.57798i | −0.358350 | − | 0.358350i | ||||
\(574\) | −26.9763 | + | 9.52381i | −1.12597 | + | 0.397516i | ||||
\(575\) | 0.0393377 | + | 4.95965i | 0.00164050 | + | 0.206832i | ||||
\(576\) | −0.0753243 | + | 0.0547263i | −0.00313851 | + | 0.00228026i | ||||
\(577\) | 20.6462 | + | 40.5204i | 0.859512 | + | 1.68689i | 0.716975 | + | 0.697099i | \(0.245526\pi\) |
0.142537 | + | 0.989789i | \(0.454474\pi\) | |||||||
\(578\) | 5.61669 | + | 11.0234i | 0.233623 | + | 0.458512i | ||||
\(579\) | −12.9393 | + | 9.40095i | −0.537739 | + | 0.390690i | ||||
\(580\) | −0.979192 | − | 11.8413i | −0.0406587 | − | 0.491682i | ||||
\(581\) | −10.0949 | − | 28.5940i | −0.418808 | − | 1.18628i | ||||
\(582\) | 1.34821 | + | 1.34821i | 0.0558850 | + | 0.0558850i | ||||
\(583\) | 22.5438 | + | 4.81624i | 0.933668 | + | 0.199468i | ||||
\(584\) | 0.0335280 | 0.00138740 | ||||||||
\(585\) | −0.246061 | − | 1.00730i | −0.0101734 | − | 0.0416469i | ||||
\(586\) | −12.6631 | + | 17.4292i | −0.523107 | + | 0.719995i | ||||
\(587\) | −0.553834 | + | 3.49677i | −0.0228592 | + | 0.144327i | −0.996478 | − | 0.0838528i | \(-0.973277\pi\) |
0.973619 | + | 0.228180i | \(0.0732774\pi\) | |||||||
\(588\) | −10.6734 | + | 6.13513i | −0.440165 | + | 0.253009i | ||||
\(589\) | −61.9945 | − | 20.1432i | −2.55444 | − | 0.829988i | ||||
\(590\) | 2.55499 | + | 4.13248i | 0.105187 | + | 0.170132i | ||||
\(591\) | −1.67335 | + | 2.30317i | −0.0688324 | + | 0.0947397i | ||||
\(592\) | −4.13580 | + | 8.11697i | −0.169980 | + | 0.333605i | ||||
\(593\) | 14.6044 | + | 14.6044i | 0.599733 | + | 0.599733i | 0.940241 | − | 0.340509i | \(-0.110599\pi\) |
−0.340509 | + | 0.940241i | \(0.610599\pi\) | |||||||
\(594\) | −16.3828 | + | 4.37156i | −0.672193 | + | 0.179367i | ||||
\(595\) | 9.43261 | − | 8.54471i | 0.386699 | − | 0.350299i | ||||
\(596\) | −6.38250 | − | 19.6433i | −0.261437 | − | 0.804621i | ||||
\(597\) | −2.68515 | − | 16.9534i | −0.109896 | − | 0.693856i | ||||
\(598\) | −4.87976 | − | 0.772878i | −0.199548 | − | 0.0316053i | ||||
\(599\) | −1.16297 | − | 0.377872i | −0.0475177 | − | 0.0154394i | 0.285162 | − | 0.958479i | \(-0.407953\pi\) |
−0.332679 | + | 0.943040i | \(0.607953\pi\) | |||||||
\(600\) | 7.86658 | + | 3.92995i | 0.321152 | + | 0.160439i | ||||
\(601\) | −14.0525 | − | 19.3416i | −0.573214 | − | 0.788962i | 0.419717 | − | 0.907655i | \(-0.362129\pi\) |
−0.992931 | + | 0.118693i | \(0.962129\pi\) | |||||||
\(602\) | 7.20903 | − | 1.32899i | 0.293818 | − | 0.0541655i | ||||
\(603\) | −0.0655311 | − | 0.0333898i | −0.00266863 | − | 0.00135974i | ||||
\(604\) | 4.04028i | 0.164397i | ||||||||
\(605\) | −14.9366 | + | 19.5422i | −0.607258 | + | 0.794505i | ||||
\(606\) | −18.4411 | −0.749118 | ||||||||
\(607\) | −14.2305 | − | 7.25080i | −0.577598 | − | 0.294301i | 0.140682 | − | 0.990055i | \(-0.455070\pi\) |
−0.718280 | + | 0.695754i | \(0.755070\pi\) | |||||||
\(608\) | 1.31441 | + | 8.29888i | 0.0533065 | + | 0.336564i | ||||
\(609\) | −15.0330 | − | 19.6302i | −0.609166 | − | 0.795455i | ||||
\(610\) | −6.79744 | + | 16.5963i | −0.275220 | + | 0.671966i | ||||
\(611\) | 3.33629 | − | 10.2681i | 0.134972 | − | 0.415401i | ||||
\(612\) | 0.0313339 | − | 0.197835i | 0.00126660 | − | 0.00799699i | ||||
\(613\) | −2.12956 | + | 0.337289i | −0.0860122 | + | 0.0136230i | −0.199292 | − | 0.979940i | \(-0.563864\pi\) |
0.113280 | + | 0.993563i | \(0.463864\pi\) | |||||||
\(614\) | −5.89205 | − | 18.1339i | −0.237784 | − | 0.731823i | ||||
\(615\) | 42.4047 | + | 3.16817i | 1.70992 | + | 0.127753i | ||||
\(616\) | −2.47546 | − | 8.41856i | −0.0997392 | − | 0.339193i | ||||
\(617\) | −16.5962 | − | 16.5962i | −0.668139 | − | 0.668139i | 0.289146 | − | 0.957285i | \(-0.406629\pi\) |
−0.957285 | + | 0.289146i | \(0.906629\pi\) | |||||||
\(618\) | −6.92931 | − | 3.53066i | −0.278738 | − | 0.142024i | ||||
\(619\) | 17.0755 | + | 12.4061i | 0.686322 | + | 0.498642i | 0.875449 | − | 0.483311i | \(-0.160566\pi\) |
−0.189127 | + | 0.981953i | \(0.560566\pi\) | |||||||
\(620\) | 16.8839 | + | 3.98273i | 0.678076 | + | 0.159950i | ||||
\(621\) | −4.82311 | − | 1.56712i | −0.193545 | − | 0.0628865i | ||||
\(622\) | 8.33324 | + | 16.3549i | 0.334132 | + | 0.655772i | ||||
\(623\) | −1.81159 | + | 13.6594i | −0.0725797 | + | 0.547254i | ||||
\(624\) | −5.14873 | + | 7.08662i | −0.206114 | + | 0.283692i | ||||
\(625\) | −0.396552 | − | 24.9969i | −0.0158621 | − | 0.999874i | ||||
\(626\) | − | 15.2161i | − | 0.608158i | ||||||
\(627\) | 10.2396 | − | 47.9294i | 0.408931 | − | 1.91411i | ||||
\(628\) | −16.5887 | − | 16.5887i | −0.661960 | − | 0.661960i | ||||
\(629\) | −6.05620 | − | 18.6391i | −0.241477 | − | 0.743188i | ||||
\(630\) | 0.547629 | − | 0.0592251i | 0.0218181 | − | 0.00235958i | ||||
\(631\) | 15.7950 | − | 11.4757i | 0.628788 | − | 0.456841i | −0.227192 | − | 0.973850i | \(-0.572954\pi\) |
0.855980 | + | 0.517009i | \(0.172954\pi\) | |||||||
\(632\) | −9.31745 | + | 4.74748i | −0.370628 | + | 0.188845i | ||||
\(633\) | 3.43110 | − | 1.74823i | 0.136374 | − | 0.0694860i | ||||
\(634\) | −6.03981 | − | 8.31309i | −0.239872 | − | 0.330155i | ||||
\(635\) | 24.9469 | − | 29.4447i | 0.989986 | − | 1.16848i | ||||
\(636\) | 11.6259 | − | 3.77748i | 0.460996 | − | 0.149787i | ||||
\(637\) | −23.3783 | + | 25.8646i | −0.926283 | + | 1.02479i | ||||
\(638\) | 16.1072 | − | 7.15139i | 0.637689 | − | 0.283126i | ||||
\(639\) | 0.586513i | 0.0232021i | ||||||||
\(640\) | −0.530618 | − | 2.17220i | −0.0209745 | − | 0.0858637i | ||||
\(641\) | −35.5465 | − | 25.8260i | −1.40400 | − | 1.02007i | −0.994161 | − | 0.107911i | \(-0.965584\pi\) |
−0.409842 | − | 0.912157i | \(-0.634416\pi\) | |||||||
\(642\) | −2.07265 | + | 13.0862i | −0.0818012 | + | 0.516472i | ||||
\(643\) | 6.49053 | − | 3.30709i | 0.255962 | − | 0.130419i | −0.321302 | − | 0.946977i | \(-0.604120\pi\) |
0.577264 | + | 0.816558i | \(0.304120\pi\) | |||||||
\(644\) | 0.747798 | − | 2.51569i | 0.0294674 | − | 0.0991321i | ||||
\(645\) | −10.6050 | − | 2.50159i | −0.417570 | − | 0.0984999i | ||||
\(646\) | −14.6239 | − | 10.6249i | −0.575368 | − | 0.418030i | ||||
\(647\) | −22.1855 | − | 11.3041i | −0.872200 | − | 0.444408i | −0.0402052 | − | 0.999191i | \(-0.512801\pi\) |
−0.831995 | + | 0.554783i | \(0.812801\pi\) | |||||||
\(648\) | −6.55534 | + | 6.55534i | −0.257518 | + | 0.257518i | ||||
\(649\) | −4.54092 | + | 5.59571i | −0.178247 | + | 0.219651i | ||||
\(650\) | 24.6267 | + | 3.70050i | 0.965937 | + | 0.145146i | ||||
\(651\) | 34.0398 | − | 12.0175i | 1.33413 | − | 0.471004i | ||||
\(652\) | 2.07227 | + | 13.0838i | 0.0811564 | + | 0.512401i | ||||
\(653\) | −1.52951 | + | 9.65694i | −0.0598543 | + | 0.377905i | 0.939519 | + | 0.342498i | \(0.111273\pi\) |
−0.999373 | + | 0.0354074i | \(0.988727\pi\) | |||||||
\(654\) | −8.40852 | + | 25.8788i | −0.328799 | + | 1.01194i | ||||
\(655\) | 7.98088 | + | 19.0535i | 0.311839 | + | 0.744481i | ||||
\(656\) | −6.35564 | − | 8.74779i | −0.248146 | − | 0.341544i | ||||
\(657\) | −0.00308323 | 0.000488335i | −0.000120288 | 1.90518e-5i | ||||||
\(658\) | 5.17413 | + | 2.47401i | 0.201708 | + | 0.0964468i | ||||
\(659\) | 31.0207i | 1.20839i | 0.796835 | + | 0.604197i | \(0.206506\pi\) | ||||
−0.796835 | + | 0.604197i | \(0.793494\pi\) | |||||||
\(660\) | −1.66456 | + | 12.9364i | −0.0647931 | + | 0.503548i | ||||
\(661\) | 3.90757i | 0.151987i | 0.997108 | + | 0.0759935i | \(0.0242128\pi\) | ||||
−0.997108 | + | 0.0759935i | \(0.975787\pi\) | |||||||
\(662\) | 9.49239 | − | 18.6299i | 0.368932 | − | 0.724070i | ||||
\(663\) | −2.94794 | − | 18.6126i | −0.114489 | − | 0.722852i | ||||
\(664\) | 9.27236 | − | 6.73677i | 0.359838 | − | 0.261437i | ||||
\(665\) | 17.6743 | − | 46.4606i | 0.685380 | − | 1.80166i | ||||
\(666\) | 0.262103 | − | 0.806671i | 0.0101563 | − | 0.0312579i | ||||
\(667\) | 5.20604 | + | 0.824555i | 0.201579 | + | 0.0319269i | ||||
\(668\) | 0.639047 | + | 4.03479i | 0.0247255 | + | 0.156111i | ||||
\(669\) | −11.0115 | + | 3.57786i | −0.425730 | + | 0.138328i | ||||
\(670\) | 1.33858 | − | 1.15246i | 0.0517137 | − | 0.0445235i | ||||
\(671\) | −26.5631 | − | 1.41971i | −1.02546 | − | 0.0548072i | ||||
\(672\) | −3.37221 | − | 3.20624i | −0.130086 | − | 0.123683i | ||||
\(673\) | −3.96585 | − | 2.02070i | −0.152872 | − | 0.0778922i | 0.375881 | − | 0.926668i | \(-0.377340\pi\) |
−0.528753 | + | 0.848776i | \(0.677340\pi\) | |||||||
\(674\) | −10.2265 | + | 14.0756i | −0.393911 | + | 0.542172i | ||||
\(675\) | 24.3729 | + | 7.70606i | 0.938113 | + | 0.296606i | ||||
\(676\) | −3.64845 | + | 11.2288i | −0.140325 | + | 0.431876i | ||||
\(677\) | 20.7876 | + | 40.7979i | 0.798931 | + | 1.56799i | 0.822838 | + | 0.568277i | \(0.192390\pi\) |
−0.0239063 | + | 0.999714i | \(0.507610\pi\) | |||||||
\(678\) | −8.57743 | − | 1.35853i | −0.329414 | − | 0.0521741i | ||||
\(679\) | −1.62688 | + | 2.36228i | −0.0624338 | + | 0.0906560i | ||||
\(680\) | 4.11156 | + | 2.49719i | 0.157671 | + | 0.0957630i | ||||
\(681\) | 43.4090 | 1.66344 | ||||||||
\(682\) | 2.66303 | + | 25.5921i | 0.101973 | + | 0.979971i | ||||
\(683\) | 3.45143 | − | 3.45143i | 0.132065 | − | 0.132065i | −0.637984 | − | 0.770050i | \(-0.720231\pi\) |
0.770050 | + | 0.637984i | \(0.220231\pi\) | |||||||
\(684\) | −0.241746 | − | 0.744018i | −0.00924339 | − | 0.0284482i | ||||
\(685\) | −9.01054 | + | 10.6351i | −0.344275 | + | 0.406346i | ||||
\(686\) | −11.9875 | − | 14.1174i | −0.457685 | − | 0.539003i | ||||
\(687\) | 13.0724 | − | 6.66073i | 0.498744 | − | 0.254123i | ||||
\(688\) | 1.25786 | + | 2.46869i | 0.0479554 | + | 0.0941178i | ||||
\(689\) | 28.0068 | − | 20.3481i | 1.06697 | − | 0.775202i | ||||
\(690\) | −2.52172 | + | 2.97637i | −0.0960002 | + | 0.113309i | ||||
\(691\) | 2.70080 | − | 0.877542i | 0.102743 | − | 0.0333833i | −0.257194 | − | 0.966360i | \(-0.582798\pi\) |
0.359937 | + | 0.932976i | \(0.382798\pi\) | |||||||
\(692\) | 13.6016 | − | 13.6016i | 0.517057 | − | 0.517057i | ||||
\(693\) | 0.350259 | + | 0.738113i | 0.0133052 | + | 0.0280386i | ||||
\(694\) | − | 9.76348i | − | 0.370617i | ||||||
\(695\) | 0.874719 | − | 1.44020i | 0.0331800 | − | 0.0546299i | ||||
\(696\) | 5.49299 | − | 7.56045i | 0.208211 | − | 0.286578i | ||||
\(697\) | 22.9755 | + | 3.63897i | 0.870260 | + | 0.137836i | ||||
\(698\) | −21.5216 | + | 10.9658i | −0.814605 | + | 0.415062i | ||||
\(699\) | 8.93387 | − | 27.4956i | 0.337910 | − | 1.03998i | ||||
\(700\) | −3.66860 | + | 12.7099i | −0.138660 | + | 0.480389i | ||||
\(701\) | −9.04898 | − | 6.57447i | −0.341775 | − | 0.248314i | 0.403635 | − | 0.914920i | \(-0.367747\pi\) |
−0.745411 | + | 0.666606i | \(0.767747\pi\) | |||||||
\(702\) | −11.5600 | + | 22.6878i | −0.436304 | + | 0.856294i | ||||
\(703\) | −54.1249 | − | 54.1249i | −2.04136 | − | 2.04136i | ||||
\(704\) | 2.78343 | − | 1.80348i | 0.104904 | − | 0.0679712i | ||||
\(705\) | −5.56203 | − | 6.46025i | −0.209478 | − | 0.243307i | ||||
\(706\) | 1.03487 | − | 0.336250i | 0.0389479 | − | 0.0126550i | ||||
\(707\) | −5.02950 | − | 27.2823i | −0.189154 | − | 1.02606i | ||||
\(708\) | −0.597792 | + | 3.77431i | −0.0224664 | + | 0.141847i | ||||
\(709\) | 11.4567 | + | 3.72250i | 0.430265 | + | 0.139802i | 0.516140 | − | 0.856504i | \(-0.327368\pi\) |
−0.0858747 | + | 0.996306i | \(0.527368\pi\) | |||||||
\(710\) | −13.0350 | − | 5.33880i | −0.489194 | − | 0.200361i | ||||
\(711\) | 0.787683 | − | 0.572285i | 0.0295404 | − | 0.0214624i | ||||
\(712\) | −5.14387 | + | 0.814710i | −0.192775 | + | 0.0305325i | ||||
\(713\) | −3.49373 | + | 6.85682i | −0.130841 | + | 0.256790i | ||||
\(714\) | 10.0072 | − | 0.252475i | 0.374511 | − | 0.00944864i | ||||
\(715\) | 6.83767 | + | 36.2989i | 0.255714 | + | 1.35750i | ||||
\(716\) | −0.488271 | −0.0182476 | ||||||||
\(717\) | −41.0818 | − | 20.9322i | −1.53423 | − | 0.781728i | ||||
\(718\) | −12.3963 | + | 1.96339i | −0.462627 | + | 0.0732729i | ||||
\(719\) | 26.8779 | − | 19.5280i | 1.00238 | − | 0.728270i | 0.0397809 | − | 0.999208i | \(-0.487334\pi\) |
0.962597 | + | 0.270938i | \(0.0873340\pi\) | |||||||
\(720\) | 0.0804335 | + | 0.192026i | 0.00299758 | + | 0.00715639i | ||||
\(721\) | 3.33351 | − | 11.2144i | 0.124146 | − | 0.417644i | ||||
\(722\) | −50.9638 | − | 8.07187i | −1.89668 | − | 0.300404i | ||||
\(723\) | −25.9722 | + | 4.11359i | −0.965916 | + | 0.152986i | ||||
\(724\) | −4.72663 | − | 14.5471i | −0.175664 | − | 0.540637i | ||||
\(725\) | −26.2733 | − | 3.94793i | −0.975765 | − | 0.146622i | ||||
\(726\) | −18.9315 | + | 3.98304i | −0.702613 | + | 0.147824i | ||||
\(727\) | 28.9384 | − | 28.9384i | 1.07327 | − | 1.07327i | 0.0761715 | − | 0.997095i | \(-0.475730\pi\) |
0.997095 | − | 0.0761715i | \(-0.0242696\pi\) | |||||||
\(728\) | −11.8884 | − | 5.68443i | −0.440613 | − | 0.210679i | ||||
\(729\) | −15.3476 | + | 21.1241i | −0.568428 | + | 0.782375i | ||||
\(730\) | 0.0172124 | − | 0.0729684i | 0.000637059 | − | 0.00270068i | ||||
\(731\) | −5.66887 | − | 1.84193i | −0.209671 | − | 0.0681261i | ||||
\(732\) | −12.5684 | + | 6.40393i | −0.464542 | + | 0.236696i | ||||
\(733\) | −11.0648 | − | 1.75249i | −0.408687 | − | 0.0647297i | −0.0512938 | − | 0.998684i | \(-0.516335\pi\) |
−0.357394 | + | 0.933954i | \(0.616335\pi\) | |||||||
\(734\) | 7.55630 | + | 5.48998i | 0.278908 | + | 0.202639i | ||||
\(735\) | 7.87267 | + | 26.3786i | 0.290388 | + | 0.972990i | ||||
\(736\) | 0.991961 | 0.0365642 | ||||||||
\(737\) | 2.26755 | + | 1.31230i | 0.0835261 | + | 0.0483393i | ||||
\(738\) | 0.711874 | + | 0.711874i | 0.0262044 | + | 0.0262044i | ||||
\(739\) | 3.95484 | − | 1.28501i | 0.145481 | − | 0.0472697i | −0.235371 | − | 0.971906i | \(-0.575631\pi\) |
0.380852 | + | 0.924636i | \(0.375631\pi\) | |||||||
\(740\) | 15.5421 | + | 13.1679i | 0.571337 | + | 0.484063i | ||||
\(741\) | −43.2613 | − | 59.5441i | −1.58924 | − | 2.18741i | ||||
\(742\) | 8.75928 | + | 16.1694i | 0.321563 | + | 0.593598i | ||||
\(743\) | −14.5718 | − | 28.5988i | −0.534589 | − | 1.04919i | −0.987498 | − | 0.157633i | \(-0.949614\pi\) |
0.452909 | − | 0.891557i | \(-0.350386\pi\) | |||||||
\(744\) | 8.01980 | + | 11.0383i | 0.294020 | + | 0.404684i | ||||
\(745\) | −46.0271 | + | 3.80613i | −1.68630 | + | 0.139446i | ||||
\(746\) | 6.32183 | + | 19.4566i | 0.231459 | + | 0.712357i | ||||
\(747\) | −0.754563 | + | 0.754563i | −0.0276080 | + | 0.0276080i | ||||
\(748\) | −1.49070 | + | 6.97766i | −0.0545055 | + | 0.255129i | ||||
\(749\) | −19.9254 | + | 0.502705i | −0.728060 | + | 0.0183684i | ||||
\(750\) | 12.5914 | − | 15.1028i | 0.459773 | − | 0.551477i | ||||
\(751\) | −20.9585 | − | 15.2272i | −0.764787 | − | 0.555650i | 0.135588 | − | 0.990765i | \(-0.456708\pi\) |
−0.900375 | + | 0.435115i | \(0.856708\pi\) | |||||||
\(752\) | −0.339102 | + | 2.14101i | −0.0123658 | + | 0.0780745i | ||||
\(753\) | −3.87853 | − | 7.61205i | −0.141342 | − | 0.277398i | ||||
\(754\) | 8.17823 | − | 25.1700i | 0.297833 | − | 0.916637i | ||||
\(755\) | 8.79302 | + | 2.07417i | 0.320011 | + | 0.0754869i | ||||
\(756\) | −11.1400 | − | 7.67197i | −0.405156 | − | 0.279027i | ||||
\(757\) | 17.6572 | − | 34.6541i | 0.641760 | − | 1.25953i | −0.309430 | − | 0.950922i | \(-0.600138\pi\) |
0.951191 | − | 0.308604i | \(-0.0998617\pi\) | |||||||
\(758\) | −13.4809 | + | 13.4809i | −0.489650 | + | 0.489650i | ||||
\(759\) | −5.39967 | − | 2.07916i | −0.195996 | − | 0.0754687i | ||||
\(760\) | 18.7360 | + | 1.39981i | 0.679624 | + | 0.0507766i | ||||
\(761\) | 21.9664 | − | 7.13731i | 0.796280 | − | 0.258727i | 0.117504 | − | 0.993072i | \(-0.462511\pi\) |
0.678776 | + | 0.734345i | \(0.262511\pi\) | |||||||
\(762\) | 29.9798 | − | 4.74833i | 1.08605 | − | 0.172014i | ||||
\(763\) | −40.5791 | − | 5.38181i | −1.46906 | − | 0.194835i | ||||
\(764\) | 6.56008 | + | 2.13150i | 0.237335 | + | 0.0771149i | ||||
\(765\) | −0.414469 | − | 0.169756i | −0.0149852 | − | 0.00613755i | ||||
\(766\) | −19.6153 | − | 26.9982i | −0.708730 | − | 0.975484i | ||||
\(767\) | 1.69292 | + | 10.6887i | 0.0611279 | + | 0.385946i | ||||
\(768\) | 0.798443 | − | 1.56703i | 0.0288113 | − | 0.0565455i | ||||
\(769\) | 39.6339 | 1.42923 | 0.714617 | − | 0.699516i | \(-0.246601\pi\) | ||||
0.714617 | + | 0.699516i | \(0.246601\pi\) | |||||||
\(770\) | −19.5925 | + | 1.06558i | −0.706063 | + | 0.0384008i | ||||
\(771\) | −11.0402 | −0.397602 | ||||||||
\(772\) | 4.12860 | − | 8.10282i | 0.148591 | − | 0.291627i | ||||
\(773\) | 4.92442 | + | 31.0916i | 0.177119 | + | 1.11829i | 0.902739 | + | 0.430189i | \(0.141553\pi\) |
−0.725620 | + | 0.688096i | \(0.758447\pi\) | |||||||
\(774\) | −0.151629 | − | 0.208699i | −0.00545018 | − | 0.00750153i | ||||
\(775\) | 17.3355 | − | 34.7006i | 0.622710 | − | 1.24648i | ||||
\(776\) | −1.03105 | − | 0.335009i | −0.0370126 | − | 0.0120261i | ||||
\(777\) | 42.0216 | + | 5.57313i | 1.50752 | + | 0.199935i | ||||
\(778\) | 16.7053 | − | 2.64586i | 0.598913 | − | 0.0948585i | ||||
\(779\) | 86.4065 | − | 28.0752i | 3.09583 | − | 1.00590i | ||||
\(780\) | 12.7797 | + | 14.8435i | 0.457585 | + | 0.531481i | ||||
\(781\) | 1.11506 | − | 20.8630i | 0.0398999 | − | 0.746537i | ||||
\(782\) | −1.50898 | + | 1.50898i | −0.0539612 | + | 0.0539612i | ||||
\(783\) | 12.3329 | − | 24.2047i | 0.440743 | − | 0.865006i | ||||
\(784\) | 3.82369 | − | 5.86339i | 0.136560 | − | 0.209407i | ||||
\(785\) | −44.6187 | + | 27.5864i | −1.59251 | + | 0.984600i | ||||
\(786\) | −5.02078 | + | 15.4524i | −0.179085 | + | 0.551168i | ||||
\(787\) | 22.2322 | + | 43.6331i | 0.792492 | + | 1.55535i | 0.831116 | + | 0.556099i | \(0.187703\pi\) |
−0.0386237 | + | 0.999254i | \(0.512297\pi\) | |||||||
\(788\) | 0.253223 | − | 1.59879i | 0.00902069 | − | 0.0569544i | ||||
\(789\) | 13.0404 | + | 9.47438i | 0.464249 | + | 0.337297i | ||||
\(790\) | 5.54879 | + | 22.7152i | 0.197417 | + | 0.808169i | ||||
\(791\) | −0.329500 | − | 13.0602i | −0.0117157 | − | 0.464368i | ||||
\(792\) | −0.229695 | + | 0.206388i | −0.00816186 | + | 0.00733368i | ||||
\(793\) | −28.2469 | + | 28.2469i | −1.00308 | + | 1.00308i | ||||
\(794\) | 7.02375 | + | 21.6169i | 0.249264 | + | 0.767155i | ||||
\(795\) | −2.25265 | − | 27.2411i | −0.0798934 | − | 0.966142i | ||||
\(796\) | 5.73664 | + | 7.89581i | 0.203330 | + | 0.279860i | ||||
\(797\) | 15.2841 | + | 29.9968i | 0.541392 | + | 1.06254i | 0.985989 | + | 0.166811i | \(0.0533469\pi\) |
−0.444597 | + | 0.895731i | \(0.646653\pi\) | |||||||
\(798\) | 34.3771 | − | 18.6227i | 1.21694 | − | 0.659237i | ||||
\(799\) | −2.74108 | − | 3.77277i | −0.0969725 | − | 0.133471i | ||||
\(800\) | −4.99984 | + | 0.0396565i | −0.176771 | + | 0.00140207i | ||||
\(801\) | 0.461163 | − | 0.149841i | 0.0162944 | − | 0.00529437i | ||||
\(802\) | −8.93049 | − | 8.93049i | −0.315347 | − | 0.315347i | ||||
\(803\) | 0.110603 | − | 0.0115090i | 0.00390309 | − | 0.000406144i | ||||
\(804\) | 1.38927 | 0.0489958 | ||||||||
\(805\) | −5.09110 | − | 2.91895i | −0.179438 | − | 0.102879i | ||||
\(806\) | 31.2600 | + | 22.7117i | 1.10109 | + | 0.799987i | ||||
\(807\) | −8.73729 | − | 1.38385i | −0.307567 | − | 0.0487138i | ||||
\(808\) | 9.34265 | − | 4.76032i | 0.328673 | − | 0.167467i | ||||
\(809\) | 11.2018 | + | 3.63968i | 0.393834 | + | 0.127964i | 0.499238 | − | 0.866465i | \(-0.333613\pi\) |
−0.105404 | + | 0.994430i | \(0.533613\pi\) | |||||||
\(810\) | 10.9013 | + | 17.6320i | 0.383033 | + | 0.619524i | ||||
\(811\) | −24.7712 | + | 34.0946i | −0.869833 | + | 1.19722i | 0.109301 | + | 0.994009i | \(0.465139\pi\) |
−0.979134 | + | 0.203214i | \(0.934861\pi\) | |||||||
\(812\) | 12.6833 | + | 6.06451i | 0.445096 | + | 0.212822i | ||||
\(813\) | −14.1584 | + | 14.1584i | −0.496558 | + | 0.496558i | ||||
\(814\) | −10.8570 | + | 28.1960i | −0.380536 | + | 0.988270i | ||||
\(815\) | 29.5386 | + | 2.20691i | 1.03469 | + | 0.0773047i | ||||
\(816\) | 1.16919 | + | 3.59839i | 0.0409298 | + | 0.125969i | ||||
\(817\) | −22.9935 | + | 3.64181i | −0.804440 | + | 0.127411i | ||||
\(818\) | −14.0229 | − | 2.22101i | −0.490300 | − | 0.0776559i | ||||
\(819\) | 1.17605 | + | 0.349584i | 0.0410944 | + | 0.0122155i | ||||
\(820\) | −22.3010 | + | 9.34114i | −0.778783 | + | 0.326207i | ||||
\(821\) | −9.58045 | + | 6.96061i | −0.334360 | + | 0.242927i | −0.742278 | − | 0.670092i | \(-0.766255\pi\) |
0.407918 | + | 0.913018i | \(0.366255\pi\) | |||||||
\(822\) | −10.8284 | + | 1.71505i | −0.377683 | + | 0.0598191i | ||||
\(823\) | −21.4742 | − | 10.9416i | −0.748542 | − | 0.381401i | 0.0377247 | − | 0.999288i | \(-0.487989\pi\) |
−0.786267 | + | 0.617887i | \(0.787989\pi\) | |||||||
\(824\) | 4.42193 | 0.154045 | ||||||||
\(825\) | 27.2994 | + | 10.2638i | 0.950443 | + | 0.357341i | ||||
\(826\) | −5.74687 | + | 0.144989i | −0.199959 | + | 0.00504483i | ||||
\(827\) | 6.08771 | − | 11.9478i | 0.211690 | − | 0.415466i | −0.760607 | − | 0.649212i | \(-0.775099\pi\) |
0.972298 | + | 0.233747i | \(0.0750986\pi\) | |||||||
\(828\) | −0.0912204 | + | 0.0144479i | −0.00317013 | + | 0.000502099i | ||||
\(829\) | 13.0978 | − | 9.51614i | 0.454907 | − | 0.330509i | −0.336623 | − | 0.941639i | \(-0.609285\pi\) |
0.791530 | + | 0.611130i | \(0.209285\pi\) | |||||||
\(830\) | −9.90130 | − | 23.6383i | −0.343679 | − | 0.820497i | ||||
\(831\) | −45.9644 | − | 14.9347i | −1.59449 | − | 0.518080i | ||||
\(832\) | 0.779142 | − | 4.91931i | 0.0270119 | − | 0.170546i | ||||
\(833\) | 3.10282 | + | 14.7361i | 0.107506 | + | 0.510576i | ||||
\(834\) | 1.26045 | − | 0.409545i | 0.0436458 | − | 0.0141814i | ||||
\(835\) | 9.10913 | + | 0.680568i | 0.315234 | + | 0.0235520i | ||||
\(836\) | 7.18472 | + | 26.9253i | 0.248489 | + | 0.931230i | ||||
\(837\) | 28.0452 | + | 28.0452i | 0.969385 | + | 0.969385i | ||||
\(838\) | 9.15575 | − | 17.9692i | 0.316280 | − | 0.620734i | ||||
\(839\) | −16.7767 | − | 12.1890i | −0.579198 | − | 0.420812i | 0.259237 | − | 0.965814i | \(-0.416529\pi\) |
−0.838435 | + | 0.545002i | \(0.816529\pi\) | |||||||
\(840\) | −8.70906 | + | 5.69307i | −0.300491 | + | 0.196429i | ||||
\(841\) | 0.236445 | − | 0.727704i | 0.00815329 | − | 0.0250932i | ||||
\(842\) | 21.2576 | − | 10.8313i | 0.732586 | − | 0.373271i | ||||
\(843\) | −46.8674 | − | 7.42307i | −1.61420 | − | 0.255664i | ||||
\(844\) | −1.28699 | + | 1.77138i | −0.0442999 | + | 0.0609735i | ||||
\(845\) | 22.5646 | + | 13.7048i | 0.776246 | + | 0.471460i | ||||
\(846\) | − | 0.201825i | − | 0.00693890i | ||||||
\(847\) | −11.0559 | − | 26.9215i | −0.379884 | − | 0.925034i | ||||
\(848\) | −4.91481 | + | 4.91481i | −0.168775 | + | 0.168775i | ||||
\(849\) | 23.1965 | − | 7.53700i | 0.796102 | − | 0.258669i | ||||
\(850\) | 7.54550 | − | 7.66615i | 0.258809 | − | 0.262947i | ||||
\(851\) | −7.31080 | + | 5.31161i | −0.250611 | + | 0.182080i | ||||
\(852\) | −5.02973 | − | 9.87139i | −0.172316 | − | 0.338188i | ||||
\(853\) | −3.80139 | + | 1.93690i | −0.130157 | + | 0.0663184i | −0.517856 | − | 0.855468i | \(-0.673270\pi\) |
0.387699 | + | 0.921786i | \(0.373270\pi\) | |||||||
\(854\) | −12.9020 | − | 16.8475i | −0.441497 | − | 0.576511i | ||||
\(855\) | −1.74334 | + | 0.144162i | −0.0596210 | + | 0.00493025i | ||||
\(856\) | −2.32798 | − | 7.16479i | −0.0795688 | − | 0.244887i | ||||
\(857\) | −13.3300 | + | 13.3300i | −0.455344 | + | 0.455344i | −0.897124 | − | 0.441779i | \(-0.854347\pi\) |
0.441779 | + | 0.897124i | \(0.354347\pi\) | |||||||
\(858\) | −14.5521 | + | 25.1448i | −0.496801 | + | 0.858430i | ||||
\(859\) | 1.76195 | 0.0601170 | 0.0300585 | − | 0.999548i | \(-0.490431\pi\) | ||||
0.0300585 | + | 0.999548i | \(0.490431\pi\) | |||||||
\(860\) | 6.01845 | − | 1.47017i | 0.205227 | − | 0.0501323i | ||||
\(861\) | −28.5377 | + | 41.4376i | −0.972561 | + | 1.41219i | ||||
\(862\) | 23.1614 | + | 3.66841i | 0.788881 | + | 0.124946i | ||||
\(863\) | −14.0107 | − | 27.4976i | −0.476930 | − | 0.936028i | −0.996657 | − | 0.0816959i | \(-0.973966\pi\) |
0.519727 | − | 0.854332i | \(-0.326034\pi\) | |||||||
\(864\) | 1.57982 | − | 4.86220i | 0.0537467 | − | 0.165415i | ||||
\(865\) | −22.6191 | − | 36.5845i | −0.769071 | − | 1.24391i | ||||
\(866\) | 10.2699 | − | 14.1353i | 0.348985 | − | 0.480337i | ||||
\(867\) | 19.3871 | + | 9.87820i | 0.658419 | + | 0.335481i | ||||
\(868\) | −14.1431 | + | 14.8753i | −0.480049 | + | 0.504899i | ||||
\(869\) | −29.1069 | + | 18.8594i | −0.987384 | + | 0.639761i | ||||
\(870\) | −13.6341 | − | 15.8359i | −0.462241 | − | 0.536889i | ||||
\(871\) | 3.74179 | − | 1.21578i | 0.126786 | − | 0.0411952i | ||||
\(872\) | −2.42032 | − | 15.2813i | −0.0819622 | − | 0.517489i | ||||
\(873\) | 0.0996946 | + | 0.0157901i | 0.00337415 | + | 0.000534413i | ||||
\(874\) | −2.57559 | + | 7.92685i | −0.0871206 | + | 0.268130i | ||||
\(875\) | 25.7777 | + | 14.5090i | 0.871444 | + | 0.490495i | ||||
\(876\) | 0.0477049 | − | 0.0346597i | 0.00161180 | − | 0.00117104i | ||||
\(877\) | 2.11289 | + | 13.3403i | 0.0713473 | + | 0.450469i | 0.997338 | + | 0.0729219i | \(0.0232324\pi\) |
−0.925990 | + | 0.377547i | \(0.876768\pi\) | |||||||
\(878\) | 0.460993 | − | 0.904750i | 0.0155578 | − | 0.0305338i | ||||
\(879\) | 37.8894i | 1.27798i | ||||||||
\(880\) | −2.49605 | − | 6.98353i | −0.0841418 | − | 0.235415i | ||||
\(881\) | − | 30.5925i | − | 1.03069i | −0.856984 | − | 0.515343i | \(-0.827665\pi\) | ||
0.856984 | − | 0.515343i | \(-0.172335\pi\) | |||||||
\(882\) | −0.266225 | + | 0.594888i | −0.00896427 | + | 0.0200309i | ||||
\(883\) | 10.3937 | − | 1.64620i | 0.349777 | − | 0.0553992i | 0.0209257 | − | 0.999781i | \(-0.493339\pi\) |
0.328851 | + | 0.944382i | \(0.393339\pi\) | |||||||
\(884\) | 6.29807 | + | 8.66855i | 0.211827 | + | 0.291555i | ||||
\(885\) | 7.90729 | + | 3.23863i | 0.265801 | + | 0.108865i | ||||
\(886\) | 7.11197 | − | 21.8884i | 0.238931 | − | 0.735355i | ||||
\(887\) | −6.72495 | + | 42.4597i | −0.225802 | + | 1.42566i | 0.570769 | + | 0.821111i | \(0.306645\pi\) |
−0.796571 | + | 0.604546i | \(0.793355\pi\) | |||||||
\(888\) | 2.50636 | + | 15.8245i | 0.0841078 | + | 0.531036i | ||||
\(889\) | 15.2013 | + | 43.0580i | 0.509836 | + | 1.44412i | ||||
\(890\) | −0.867643 | + | 11.6131i | −0.0290835 | + | 0.389271i | ||||
\(891\) | −19.3746 | + | 23.8751i | −0.649074 | + | 0.799844i | ||||
\(892\) | 4.65510 | − | 4.65510i | 0.155864 | − | 0.155864i | ||||
\(893\) | −16.2285 | − | 8.26883i | −0.543066 | − | 0.276706i | ||||
\(894\) | −29.3875 | − | 21.3513i | −0.982866 | − | 0.714094i | ||||
\(895\) | −0.250665 | + | 1.06264i | −0.00837882 | + | 0.0355203i | ||||
\(896\) | 2.53608 | + | 0.753859i | 0.0847245 | + | 0.0251847i | ||||
\(897\) | −7.74206 | + | 3.94478i | −0.258500 | + | 0.131712i | ||||
\(898\) | −5.70206 | + | 36.0014i | −0.190280 | + | 1.20138i | ||||
\(899\) | −33.3502 | − | 24.2303i | −1.11229 | − | 0.808126i | ||||
\(900\) | 0.459206 | − | 0.0764694i | 0.0153069 | − | 0.00254898i | ||||
\(901\) | − | 14.9530i | − | 0.498155i | ||||||
\(902\) | −23.9689 | − | 26.6756i | −0.798076 | − | 0.888202i | ||||
\(903\) | 8.88343 | − | 9.34328i | 0.295622 | − | 0.310925i | ||||
\(904\) | 4.69620 | − | 1.52589i | 0.156193 | − | 0.0507502i | ||||
\(905\) | −34.0859 | + | 2.81867i | −1.13305 | + | 0.0936957i | ||||
\(906\) | 4.17665 | + | 5.74866i | 0.138760 | + | 0.190987i | ||||
\(907\) | −32.5470 | + | 16.5835i | −1.08070 | + | 0.550647i | −0.901330 | − | 0.433134i | \(-0.857408\pi\) |
−0.179375 | + | 0.983781i | \(0.557408\pi\) | |||||||
\(908\) | −21.9919 | + | 11.2054i | −0.729828 | + | 0.371866i | ||||
\(909\) | −0.789813 | + | 0.573833i | −0.0261964 | + | 0.0190328i | ||||
\(910\) | −18.4744 | + | 22.9549i | −0.612421 | + | 0.760948i | ||||
\(911\) | 0.705649 | + | 2.17176i | 0.0233792 | + | 0.0719537i | 0.962065 | − | 0.272819i | \(-0.0879560\pi\) |
−0.938686 | + | 0.344773i | \(0.887956\pi\) | |||||||
\(912\) | 10.4492 | + | 10.4492i | 0.346007 | + | 0.346007i | ||||
\(913\) | 28.2753 | − | 25.4062i | 0.935776 | − | 0.840823i | ||||
\(914\) | − | 15.0413i | − | 0.497523i | ||||||
\(915\) | 7.48483 | + | 30.6407i | 0.247441 | + | 1.01295i | ||||
\(916\) | −4.90339 | + | 6.74893i | −0.162012 | + | 0.222991i | ||||
\(917\) | −24.2300 | − | 3.21351i | −0.800146 | − | 0.106120i | ||||
\(918\) | 4.99319 | + | 9.79969i | 0.164800 | + | 0.323438i | ||||
\(919\) | 47.6184 | + | 15.4721i | 1.57079 | + | 0.510379i | 0.959662 | − | 0.281157i | \(-0.0907180\pi\) |
0.611123 | + | 0.791536i | \(0.290718\pi\) | |||||||
\(920\) | 0.509246 | − | 2.15884i | 0.0167893 | − | 0.0711749i | ||||
\(921\) | −27.1293 | − | 19.7106i | −0.893942 | − | 0.649487i | ||||
\(922\) | 14.3735 | + | 7.32368i | 0.473367 | + | 0.241193i | ||||
\(923\) | −22.1855 | − | 22.1855i | −0.730244 | − | 0.730244i | ||||
\(924\) | −12.2249 | − | 9.41922i | −0.402169 | − | 0.309870i | ||||
\(925\) | 36.6367 | − | 27.0647i | 1.20461 | − | 0.889882i | ||||
\(926\) | 10.6579 | + | 32.8017i | 0.350241 | + | 1.07793i | ||||
\(927\) | −0.406639 | + | 0.0644053i | −0.0133558 | + | 0.00211535i | ||||
\(928\) | −0.831238 | + | 5.24823i | −0.0272867 | + | 0.172282i | ||||
\(929\) | 11.6176 | − | 35.7552i | 0.381160 | − | 1.17309i | −0.558068 | − | 0.829795i | \(-0.688457\pi\) |
0.939228 | − | 0.343294i | \(-0.111543\pi\) | |||||||
\(930\) | 28.1402 | − | 11.7870i | 0.922755 | − | 0.386512i | ||||
\(931\) | 36.9268 | + | 45.7795i | 1.21023 | + | 1.50036i | ||||
\(932\) | 2.57153 | + | 16.2360i | 0.0842334 | + | 0.531829i | ||||
\(933\) | 28.7637 | + | 14.6559i | 0.941682 | + | 0.479811i | ||||
\(934\) | 0.0754881 | 0.00247005 | ||||||||
\(935\) | 14.4205 | + | 6.82642i | 0.471600 | + | 0.223248i | ||||
\(936\) | 0.463726i | 0.0151574i | ||||||||
\(937\) | 28.0810 | + | 14.3080i | 0.917368 | + | 0.467422i | 0.847896 | − | 0.530162i | \(-0.177869\pi\) |
0.0694711 | + | 0.997584i | \(0.477869\pi\) | |||||||
\(938\) | 0.378900 | + | 2.05533i | 0.0123715 | + | 0.0671088i | ||||
\(939\) | −15.7297 | − | 21.6500i | −0.513319 | − | 0.706523i | ||||
\(940\) | 4.48547 | + | 1.83714i | 0.146300 | + | 0.0599208i | ||||
\(941\) | 2.39208 | + | 0.777234i | 0.0779796 | + | 0.0253371i | 0.347747 | − | 0.937588i | \(-0.386947\pi\) |
−0.269767 | + | 0.962926i | \(0.586947\pi\) | |||||||
\(942\) | −40.7515 | − | 6.45441i | −1.32776 | − | 0.210296i | ||||
\(943\) | −1.67791 | − | 10.5939i | −0.0546401 | − | 0.344984i | ||||
\(944\) | −0.671433 | − | 2.06646i | −0.0218533 | − | 0.0672575i | ||||
\(945\) | −22.4158 | + | 20.3057i | −0.729185 | + | 0.660546i | ||||
\(946\) | 4.99685 | + | 7.71196i | 0.162462 | + | 0.250737i | ||||
\(947\) | −15.7698 | − | 15.7698i | −0.512451 | − | 0.512451i | 0.402826 | − | 0.915277i | \(-0.368028\pi\) |
−0.915277 | + | 0.402826i | \(0.868028\pi\) | |||||||
\(948\) | −8.34950 | + | 16.3868i | −0.271179 | + | 0.532219i | ||||
\(949\) | 0.0981547 | − | 0.135098i | 0.00318624 | − | 0.00438548i | ||||
\(950\) | 12.6650 | − | 40.0571i | 0.410907 | − | 1.29963i | ||||
\(951\) | −17.1873 | − | 5.58450i | −0.557338 | − | 0.181090i | ||||
\(952\) | −5.00470 | + | 2.71114i | −0.162203 | + | 0.0878684i | ||||
\(953\) | 2.70289 | − | 17.0654i | 0.0875552 | − | 0.552801i | −0.904448 | − | 0.426585i | \(-0.859717\pi\) |
0.992003 | − | 0.126217i | \(-0.0402834\pi\) | |||||||
\(954\) | 0.380380 | − | 0.523549i | 0.0123153 | − | 0.0169505i | ||||
\(955\) | 8.00663 | − | 13.1827i | 0.259088 | − | 0.426582i | ||||
\(956\) | 26.2163 | 0.847895 | ||||||||
\(957\) | 15.5251 | − | 26.8261i | 0.501856 | − | 0.867164i | ||||
\(958\) | −28.7326 | − | 28.7326i | −0.928308 | − | 0.928308i | ||||
\(959\) | −5.49055 | − | 15.5521i | −0.177299 | − | 0.502203i | ||||
\(960\) | −3.00050 | − | 2.54216i | −0.0968406 | − | 0.0820477i | ||||
\(961\) | 23.6119 | − | 17.1551i | 0.761675 | − | 0.553389i | ||||
\(962\) | 20.5989 | + | 40.4276i | 0.664135 | + | 1.30344i | ||||
\(963\) | 0.318435 | + | 0.624965i | 0.0102614 | + | 0.0201392i | ||||
\(964\) | 12.0962 | − | 8.78840i | 0.389592 | − | 0.283055i | ||||
\(965\) | −15.5150 | − | 13.1450i | −0.499445 | − | 0.423152i | ||||
\(966\) | −1.53660 | − | 4.35246i | −0.0494394 | − | 0.140038i | ||||
\(967\) | 29.8324 | + | 29.8324i | 0.959347 | + | 0.959347i | 0.999205 | − | 0.0398588i | \(-0.0126908\pi\) |
−0.0398588 | + | 0.999205i | \(0.512691\pi\) | |||||||
\(968\) | 8.56293 | − | 6.90480i | 0.275223 | − | 0.221929i | ||||
\(969\) | −31.7908 | −1.02127 | ||||||||
\(970\) | −1.25841 | + | 2.07193i | −0.0404050 | + | 0.0665257i | ||||
\(971\) | −15.2858 | + | 21.0391i | −0.490544 | + | 0.675176i | −0.980488 | − | 0.196578i | \(-0.937017\pi\) |
0.489944 | + | 0.871754i | \(0.337017\pi\) | |||||||
\(972\) | −0.151310 | + | 0.955331i | −0.00485326 | + | 0.0306423i | ||||
\(973\) | 0.949659 | + | 1.75305i | 0.0304447 | + | 0.0562002i | ||||
\(974\) | −18.3167 | − | 5.95146i | −0.586905 | − | 0.190697i | ||||
\(975\) | 38.8651 | − | 20.1926i | 1.24468 | − | 0.646682i | ||||
\(976\) | 4.71434 | − | 6.48873i | 0.150902 | − | 0.207699i | ||||
\(977\) | −26.1216 | + | 51.2664i | −0.835703 | + | 1.64016i | −0.0694803 | + | 0.997583i | \(0.522134\pi\) |
−0.766222 | + | 0.642576i | \(0.777866\pi\) | |||||||
\(978\) | 16.4739 | + | 16.4739i | 0.526777 | + | 0.526777i | ||||
\(979\) | −16.6890 | + | 4.45329i | −0.533383 | + | 0.142328i | ||||
\(980\) | −10.7977 | − | 11.3318i | −0.344921 | − | 0.361980i | ||||
\(981\) | 0.445143 | + | 1.37001i | 0.0142123 | + | 0.0437410i | ||||
\(982\) | 2.84386 | + | 17.9554i | 0.0907512 | + | 0.572980i | ||||
\(983\) | 49.4176 | + | 7.82698i | 1.57618 | + | 0.249642i | 0.882383 | − | 0.470532i | \(-0.155938\pi\) |
0.693794 | + | 0.720173i | \(0.255938\pi\) | |||||||
\(984\) | −18.0861 | − | 5.87652i | −0.576563 | − | 0.187337i | ||||
\(985\) | −3.34950 | − | 1.37187i | −0.106724 | − | 0.0437115i | ||||
\(986\) | −6.71918 | − | 9.24816i | −0.213982 | − | 0.294521i | ||||
\(987\) | 9.91944 | − | 1.82865i | 0.315739 | − | 0.0582067i | ||||
\(988\) | 37.2876 | + | 18.9990i | 1.18628 | + | 0.604438i | ||||
\(989\) | 2.74840i | 0.0873940i | ||||||||
\(990\) | 0.331251 | + | 0.605849i | 0.0105278 | + | 0.0192551i | ||||
\(991\) | 54.6315 | 1.73543 | 0.867713 | − | 0.497065i | \(-0.165589\pi\) | ||||
0.867713 | + | 0.497065i | \(0.165589\pi\) | |||||||
\(992\) | −6.91239 | − | 3.52204i | −0.219469 | − | 0.111825i | ||||
\(993\) | −5.75253 | − | 36.3200i | −0.182551 | − | 1.15258i | ||||
\(994\) | 13.2323 | − | 10.1334i | 0.419702 | − | 0.321412i | ||||
\(995\) | 20.1290 | − | 8.43138i | 0.638132 | − | 0.267293i | ||||
\(996\) | 6.22892 | − | 19.1706i | 0.197371 | − | 0.607445i | ||||
\(997\) | −4.76382 | + | 30.0776i | −0.150872 | + | 0.952567i | 0.789828 | + | 0.613328i | \(0.210170\pi\) |
−0.940700 | + | 0.339239i | \(0.889830\pi\) | |||||||
\(998\) | 21.5160 | − | 3.40780i | 0.681078 | − | 0.107872i | ||||
\(999\) | 14.3920 | + | 44.2941i | 0.455343 | + | 1.40140i |
(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 | 770.2.bi.a.27.18 | yes | 384 | |
5.3 | odd | 4 | inner | 770.2.bi.a.643.31 | yes | 384 | |
7.6 | odd | 2 | inner | 770.2.bi.a.27.7 | ✓ | 384 | |
11.9 | even | 5 | inner | 770.2.bi.a.97.42 | yes | 384 | |
35.13 | even | 4 | inner | 770.2.bi.a.643.42 | yes | 384 | |
55.53 | odd | 20 | inner | 770.2.bi.a.713.7 | yes | 384 | |
77.20 | odd | 10 | inner | 770.2.bi.a.97.31 | yes | 384 | |
385.328 | even | 20 | inner | 770.2.bi.a.713.18 | yes | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.bi.a.27.7 | ✓ | 384 | 7.6 | odd | 2 | inner | |
770.2.bi.a.27.18 | yes | 384 | 1.1 | even | 1 | trivial | |
770.2.bi.a.97.31 | yes | 384 | 77.20 | odd | 10 | inner | |
770.2.bi.a.97.42 | yes | 384 | 11.9 | even | 5 | inner | |
770.2.bi.a.643.31 | yes | 384 | 5.3 | odd | 4 | inner | |
770.2.bi.a.643.42 | yes | 384 | 35.13 | even | 4 | inner | |
770.2.bi.a.713.7 | yes | 384 | 55.53 | odd | 20 | inner | |
770.2.bi.a.713.18 | yes | 384 | 385.328 | even | 20 | inner |