Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(11,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bb (of order \(54\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1872\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 155.4 | ||
Character | \(\chi\) | \(=\) | 648.155 |
Dual form | 648.2.bb.b.347.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{43}{54}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40998 | − | 0.109397i | −0.997004 | − | 0.0773552i | ||||
\(3\) | −1.68916 | − | 0.383047i | −0.975239 | − | 0.221152i | ||||
\(4\) | 1.97606 | + | 0.308494i | 0.988032 | + | 0.154247i | ||||
\(5\) | 1.56805 | − | 1.03132i | 0.701254 | − | 0.461222i | −0.148150 | − | 0.988965i | \(-0.547332\pi\) |
0.849404 | + | 0.527743i | \(0.176962\pi\) | |||||||
\(6\) | 2.33978 | + | 0.724876i | 0.955210 | + | 0.295930i | ||||
\(7\) | −1.43285 | − | 1.35182i | −0.541566 | − | 0.510941i | 0.366133 | − | 0.930562i | \(-0.380681\pi\) |
−0.907699 | + | 0.419621i | \(0.862163\pi\) | |||||||
\(8\) | −2.75246 | − | 0.651144i | −0.973140 | − | 0.230214i | ||||
\(9\) | 2.70655 | + | 1.29406i | 0.902183 | + | 0.431353i | ||||
\(10\) | −2.32374 | + | 1.28260i | −0.734830 | + | 0.405594i | ||||
\(11\) | 2.52985 | + | 5.03734i | 0.762777 | + | 1.51881i | 0.852430 | + | 0.522841i | \(0.175128\pi\) |
−0.0896527 | + | 0.995973i | \(0.528576\pi\) | |||||||
\(12\) | −3.21973 | − | 1.27802i | −0.929456 | − | 0.368933i | ||||
\(13\) | 2.28524 | − | 0.985757i | 0.633812 | − | 0.273400i | −0.0548362 | − | 0.998495i | \(-0.517464\pi\) |
0.688648 | + | 0.725095i | \(0.258204\pi\) | |||||||
\(14\) | 1.87240 | + | 2.06279i | 0.500420 | + | 0.551303i | ||||
\(15\) | −3.04374 | + | 1.14144i | −0.785890 | + | 0.294718i | ||||
\(16\) | 3.80966 | + | 1.21921i | 0.952416 | + | 0.304802i | ||||
\(17\) | 0.900719 | + | 1.07343i | 0.218456 | + | 0.260346i | 0.864132 | − | 0.503266i | \(-0.167868\pi\) |
−0.645675 | + | 0.763612i | \(0.723424\pi\) | |||||||
\(18\) | −3.67460 | − | 2.12068i | −0.866112 | − | 0.499849i | ||||
\(19\) | −4.83530 | − | 4.05730i | −1.10929 | − | 0.930807i | −0.111278 | − | 0.993789i | \(-0.535495\pi\) |
−0.998015 | + | 0.0629819i | \(0.979939\pi\) | |||||||
\(20\) | 3.41673 | − | 1.55423i | 0.764003 | − | 0.347536i | ||||
\(21\) | 1.90251 | + | 2.83230i | 0.415161 | + | 0.618059i | ||||
\(22\) | −3.01595 | − | 7.37928i | −0.643004 | − | 1.57327i | ||||
\(23\) | 3.27681 | + | 3.47321i | 0.683261 | + | 0.724215i | 0.972464 | − | 0.233053i | \(-0.0748716\pi\) |
−0.289203 | + | 0.957268i | \(0.593390\pi\) | |||||||
\(24\) | 4.39993 | + | 2.15421i | 0.898132 | + | 0.439726i | ||||
\(25\) | −0.585243 | + | 1.35675i | −0.117049 | + | 0.271349i | ||||
\(26\) | −3.32998 | + | 1.13990i | −0.653062 | + | 0.223552i | ||||
\(27\) | −4.07612 | − | 3.22261i | −0.784450 | − | 0.620192i | ||||
\(28\) | −2.41437 | − | 3.11332i | −0.456274 | − | 0.588362i | ||||
\(29\) | −0.586775 | + | 0.0685842i | −0.108961 | + | 0.0127358i | −0.170399 | − | 0.985375i | \(-0.554506\pi\) |
0.0614374 | + | 0.998111i | \(0.480432\pi\) | |||||||
\(30\) | 4.41647 | − | 1.27642i | 0.806333 | − | 0.233042i | ||||
\(31\) | 0.791118 | + | 3.33799i | 0.142089 | + | 0.599520i | 0.996766 | + | 0.0803601i | \(0.0256070\pi\) |
−0.854677 | + | 0.519160i | \(0.826245\pi\) | |||||||
\(32\) | −5.23816 | − | 2.13582i | −0.925984 | − | 0.377563i | ||||
\(33\) | −2.34379 | − | 9.47794i | −0.408001 | − | 1.64990i | ||||
\(34\) | −1.15256 | − | 1.61205i | −0.197663 | − | 0.276465i | ||||
\(35\) | −3.64095 | − | 0.641997i | −0.615433 | − | 0.108517i | ||||
\(36\) | 4.94911 | + | 3.39210i | 0.824851 | + | 0.565350i | ||||
\(37\) | 6.70312 | − | 1.18194i | 1.10199 | − | 0.194310i | 0.407067 | − | 0.913398i | \(-0.366551\pi\) |
0.694919 | + | 0.719088i | \(0.255440\pi\) | |||||||
\(38\) | 6.37380 | + | 6.24965i | 1.03397 | + | 1.01383i | ||||
\(39\) | −4.23774 | + | 0.789750i | −0.678582 | + | 0.126461i | ||||
\(40\) | −4.98753 | + | 1.81764i | −0.788598 | + | 0.287395i | ||||
\(41\) | 6.63764 | + | 4.94154i | 1.03662 | + | 0.771739i | 0.974057 | − | 0.226302i | \(-0.0726637\pi\) |
0.0625676 | + | 0.998041i | \(0.480071\pi\) | |||||||
\(42\) | −2.37264 | − | 4.20160i | −0.366107 | − | 0.648322i | ||||
\(43\) | 0.361809 | − | 6.21202i | 0.0551753 | − | 0.947324i | −0.851198 | − | 0.524845i | \(-0.824123\pi\) |
0.906373 | − | 0.422479i | \(-0.138840\pi\) | |||||||
\(44\) | 3.44515 | + | 10.7345i | 0.519376 | + | 1.61829i | ||||
\(45\) | 5.57860 | − | 0.762177i | 0.831609 | − | 0.113619i | ||||
\(46\) | −4.24026 | − | 5.25562i | −0.625192 | − | 0.774899i | ||||
\(47\) | 10.9982 | + | 2.60663i | 1.60426 | + | 0.380216i | 0.932676 | − | 0.360715i | \(-0.117467\pi\) |
0.671581 | + | 0.740931i | \(0.265616\pi\) | |||||||
\(48\) | −5.96813 | − | 3.51872i | −0.861426 | − | 0.507884i | ||||
\(49\) | −0.181384 | − | 3.11424i | −0.0259119 | − | 0.444891i | ||||
\(50\) | 0.973603 | − | 1.84896i | 0.137688 | − | 0.261482i | ||||
\(51\) | −1.11029 | − | 2.15822i | −0.155471 | − | 0.302212i | ||||
\(52\) | 4.81989 | − | 1.24294i | 0.668398 | − | 0.172364i | ||||
\(53\) | −5.68364 | − | 9.84435i | −0.780707 | − | 1.35223i | −0.931530 | − | 0.363664i | \(-0.881526\pi\) |
0.150823 | − | 0.988561i | \(-0.451808\pi\) | |||||||
\(54\) | 5.39469 | + | 4.98972i | 0.734124 | + | 0.679015i | ||||
\(55\) | 9.16205 | + | 5.28971i | 1.23541 | + | 0.713265i | ||||
\(56\) | 3.06362 | + | 4.65383i | 0.409394 | + | 0.621894i | ||||
\(57\) | 6.61347 | + | 8.70558i | 0.875976 | + | 1.15308i | ||||
\(58\) | 0.834842 | − | 0.0325107i | 0.109620 | − | 0.00426887i | ||||
\(59\) | −1.55542 | + | 3.09709i | −0.202498 | + | 0.403207i | −0.971844 | − | 0.235626i | \(-0.924286\pi\) |
0.769346 | + | 0.638833i | \(0.220582\pi\) | |||||||
\(60\) | −6.36675 | + | 1.31658i | −0.821944 | + | 0.169969i | ||||
\(61\) | 13.2856 | − | 3.97744i | 1.70104 | − | 0.509259i | 0.718536 | − | 0.695490i | \(-0.244812\pi\) |
0.982506 | + | 0.186231i | \(0.0596273\pi\) | |||||||
\(62\) | −0.750292 | − | 4.79303i | −0.0952872 | − | 0.608715i | ||||
\(63\) | −2.12874 | − | 5.51297i | −0.268196 | − | 0.694569i | ||||
\(64\) | 7.15202 | + | 3.58449i | 0.894003 | + | 0.448061i | ||||
\(65\) | 2.56674 | − | 3.90254i | 0.318365 | − | 0.484051i | ||||
\(66\) | 2.26783 | + | 13.6201i | 0.279150 | + | 1.67651i | ||||
\(67\) | −2.81936 | − | 0.329536i | −0.344440 | − | 0.0402592i | −0.0578853 | − | 0.998323i | \(-0.518436\pi\) |
−0.286554 | + | 0.958064i | \(0.592510\pi\) | |||||||
\(68\) | 1.44873 | + | 2.39904i | 0.175684 | + | 0.290927i | ||||
\(69\) | −4.20466 | − | 7.12200i | −0.506182 | − | 0.857388i | ||||
\(70\) | 5.06342 | + | 1.30351i | 0.605194 | + | 0.155799i | ||||
\(71\) | 2.45769 | + | 0.894526i | 0.291674 | + | 0.106161i | 0.483713 | − | 0.875227i | \(-0.339288\pi\) |
−0.192039 | + | 0.981387i | \(0.561510\pi\) | |||||||
\(72\) | −6.60704 | − | 5.32419i | −0.778647 | − | 0.627462i | ||||
\(73\) | 7.31955 | − | 2.66410i | 0.856689 | − | 0.311809i | 0.123924 | − | 0.992292i | \(-0.460452\pi\) |
0.732764 | + | 0.680483i | \(0.238230\pi\) | |||||||
\(74\) | −9.58054 | + | 0.933209i | −1.11372 | + | 0.108483i | ||||
\(75\) | 1.50827 | − | 2.06759i | 0.174160 | − | 0.238745i | ||||
\(76\) | −8.30321 | − | 9.50914i | −0.952443 | − | 1.09077i | ||||
\(77\) | 3.18470 | − | 10.6377i | 0.362931 | − | 1.21227i | ||||
\(78\) | 6.06151 | − | 0.649933i | 0.686331 | − | 0.0735905i | ||||
\(79\) | 12.1962 | − | 9.07974i | 1.37218 | − | 1.02155i | 0.376724 | − | 0.926325i | \(-0.377050\pi\) |
0.995456 | − | 0.0952250i | \(-0.0303571\pi\) | |||||||
\(80\) | 7.23114 | − | 2.01722i | 0.808466 | − | 0.225532i | ||||
\(81\) | 5.65082 | + | 7.00487i | 0.627869 | + | 0.778319i | ||||
\(82\) | −8.81832 | − | 7.69359i | −0.973821 | − | 0.849614i | ||||
\(83\) | 6.07772 | − | 4.52470i | 0.667117 | − | 0.496650i | −0.209519 | − | 0.977805i | \(-0.567190\pi\) |
0.876636 | + | 0.481155i | \(0.159782\pi\) | |||||||
\(84\) | 2.88573 | + | 6.18372i | 0.314859 | + | 0.674699i | ||||
\(85\) | 2.51943 | + | 0.754268i | 0.273271 | + | 0.0818118i | ||||
\(86\) | −1.18972 | + | 8.71922i | −0.128290 | + | 0.940217i | ||||
\(87\) | 1.01743 | + | 0.108913i | 0.109080 | + | 0.0116767i | ||||
\(88\) | −3.68326 | − | 15.5123i | −0.392637 | − | 1.65362i | ||||
\(89\) | 2.62333 | + | 7.20753i | 0.278072 | + | 0.763996i | 0.997581 | + | 0.0695134i | \(0.0221447\pi\) |
−0.719509 | + | 0.694483i | \(0.755633\pi\) | |||||||
\(90\) | −7.94907 | + | 0.464370i | −0.837906 | + | 0.0489489i | ||||
\(91\) | −4.60698 | − | 1.67680i | −0.482943 | − | 0.175777i | ||||
\(92\) | 5.40372 | + | 7.87417i | 0.563377 | + | 0.820939i | ||||
\(93\) | −0.0577203 | − | 5.94144i | −0.00598532 | − | 0.616099i | ||||
\(94\) | −15.2221 | − | 4.87845i | −1.57004 | − | 0.503174i | ||||
\(95\) | −11.7664 | − | 1.37529i | −1.20720 | − | 0.141102i | ||||
\(96\) | 8.02999 | + | 5.61421i | 0.819557 | + | 0.572998i | ||||
\(97\) | −7.99428 | − | 5.25792i | −0.811697 | − | 0.533861i | 0.0744726 | − | 0.997223i | \(-0.476273\pi\) |
−0.886169 | + | 0.463362i | \(0.846643\pi\) | |||||||
\(98\) | −0.0849408 | + | 4.41084i | −0.00858032 | + | 0.445562i | ||||
\(99\) | 0.328541 | + | 16.9076i | 0.0330196 | + | 1.69928i | ||||
\(100\) | −1.57503 | + | 2.50048i | −0.157503 | + | 0.250048i | ||||
\(101\) | 2.95957 | + | 9.88566i | 0.294488 | + | 0.983660i | 0.969343 | + | 0.245710i | \(0.0790210\pi\) |
−0.674855 | + | 0.737950i | \(0.735794\pi\) | |||||||
\(102\) | 1.32937 | + | 3.16451i | 0.131628 | + | 0.313333i | ||||
\(103\) | −5.31357 | + | 10.5802i | −0.523561 | + | 1.04250i | 0.464084 | + | 0.885791i | \(0.346384\pi\) |
−0.987645 | + | 0.156705i | \(0.949913\pi\) | |||||||
\(104\) | −6.93190 | + | 1.22523i | −0.679729 | + | 0.120144i | ||||
\(105\) | 5.90424 | + | 2.47909i | 0.576195 | + | 0.241935i | ||||
\(106\) | 6.93685 | + | 14.5021i | 0.673767 | + | 1.40856i | ||||
\(107\) | −6.56311 | − | 3.78921i | −0.634480 | − | 0.366317i | 0.148005 | − | 0.988987i | \(-0.452715\pi\) |
−0.782485 | + | 0.622669i | \(0.786048\pi\) | |||||||
\(108\) | −7.06052 | − | 7.62555i | −0.679399 | − | 0.733769i | ||||
\(109\) | −5.58323 | + | 3.22348i | −0.534776 | + | 0.308753i | −0.742959 | − | 0.669337i | \(-0.766578\pi\) |
0.208183 | + | 0.978090i | \(0.433245\pi\) | |||||||
\(110\) | −12.3396 | − | 8.46067i | −1.17653 | − | 0.806693i | ||||
\(111\) | −11.7754 | − | 0.571120i | −1.11767 | − | 0.0542083i | ||||
\(112\) | −3.81052 | − | 6.89693i | −0.360061 | − | 0.651699i | ||||
\(113\) | −7.41713 | + | 0.431999i | −0.697745 | + | 0.0406390i | −0.403351 | − | 0.915045i | \(-0.632155\pi\) |
−0.294394 | + | 0.955684i | \(0.595118\pi\) | |||||||
\(114\) | −8.37247 | − | 12.9982i | −0.784154 | − | 1.21739i | ||||
\(115\) | 8.72020 | + | 2.06673i | 0.813163 | + | 0.192723i | ||||
\(116\) | −1.18066 | − | 0.0454896i | −0.109622 | − | 0.00422360i | ||||
\(117\) | 7.46075 | + | 0.289238i | 0.689747 | + | 0.0267401i | ||||
\(118\) | 2.53191 | − | 4.19667i | 0.233081 | − | 0.386334i | ||||
\(119\) | 0.160500 | − | 2.75568i | 0.0147130 | − | 0.252613i | ||||
\(120\) | 9.12100 | − | 1.15984i | 0.832629 | − | 0.105879i | ||||
\(121\) | −12.4059 | + | 16.6640i | −1.12781 | + | 1.51491i | ||||
\(122\) | −19.1674 | + | 4.15469i | −1.73534 | + | 0.376148i | ||||
\(123\) | −9.31921 | − | 10.8896i | −0.840285 | − | 0.981882i | ||||
\(124\) | 0.533552 | + | 6.84013i | 0.0479144 | + | 0.614262i | ||||
\(125\) | 2.11107 | + | 11.9725i | 0.188820 | + | 1.07085i | ||||
\(126\) | 2.39837 | + | 8.00603i | 0.213664 | + | 0.713234i | ||||
\(127\) | −7.73829 | − | 1.36447i | −0.686662 | − | 0.121077i | −0.180577 | − | 0.983561i | \(-0.557797\pi\) |
−0.506085 | + | 0.862484i | \(0.668908\pi\) | |||||||
\(128\) | −9.69205 | − | 5.83645i | −0.856664 | − | 0.515874i | ||||
\(129\) | −2.99065 | + | 10.3545i | −0.263312 | + | 0.911665i | ||||
\(130\) | −4.04597 | + | 5.22170i | −0.354855 | + | 0.457973i | ||||
\(131\) | −3.63842 | − | 15.3517i | −0.317890 | − | 1.34128i | −0.863967 | − | 0.503549i | \(-0.832027\pi\) |
0.546076 | − | 0.837735i | \(-0.316121\pi\) | |||||||
\(132\) | −1.70759 | − | 19.4521i | −0.148627 | − | 1.69308i | ||||
\(133\) | 1.44350 | + | 12.3500i | 0.125168 | + | 1.07088i | ||||
\(134\) | 3.93918 | + | 0.773066i | 0.340293 | + | 0.0667828i | ||||
\(135\) | −9.71512 | − | 0.849426i | −0.836144 | − | 0.0731069i | ||||
\(136\) | −1.78023 | − | 3.54108i | −0.152653 | − | 0.303645i | ||||
\(137\) | 3.16850 | + | 1.36676i | 0.270703 | + | 0.116770i | 0.527104 | − | 0.849800i | \(-0.323278\pi\) |
−0.256401 | + | 0.966570i | \(0.582537\pi\) | |||||||
\(138\) | 5.14935 | + | 10.5018i | 0.438341 | + | 0.893974i | ||||
\(139\) | 14.1186 | + | 14.9648i | 1.19752 | + | 1.26930i | 0.954137 | + | 0.299371i | \(0.0967768\pi\) |
0.243386 | + | 0.969929i | \(0.421742\pi\) | |||||||
\(140\) | −6.99670 | − | 2.39184i | −0.591329 | − | 0.202147i | ||||
\(141\) | −17.5794 | − | 8.61587i | −1.48045 | − | 0.725587i | ||||
\(142\) | −3.36743 | − | 1.53012i | −0.282588 | − | 0.128405i | ||||
\(143\) | 10.7469 | + | 9.01772i | 0.898701 | + | 0.754100i | ||||
\(144\) | 8.73332 | + | 8.22977i | 0.727776 | + | 0.685814i | ||||
\(145\) | −0.849361 | + | 0.712698i | −0.0705356 | + | 0.0591864i | ||||
\(146\) | −10.6118 | + | 2.95558i | −0.878242 | + | 0.244606i | ||||
\(147\) | −0.886513 | + | 5.32993i | −0.0731184 | + | 0.439606i | ||||
\(148\) | 13.6104 | − | 0.267722i | 1.11877 | − | 0.0220066i | ||||
\(149\) | −8.80781 | − | 20.4188i | −0.721564 | − | 1.67277i | −0.739700 | − | 0.672937i | \(-0.765032\pi\) |
0.0181359 | − | 0.999836i | \(-0.494227\pi\) | |||||||
\(150\) | −2.35281 | + | 2.75026i | −0.192106 | + | 0.224557i | ||||
\(151\) | −2.86217 | − | 5.69905i | −0.232920 | − | 0.463782i | 0.746561 | − | 0.665317i | \(-0.231703\pi\) |
−0.979481 | + | 0.201535i | \(0.935407\pi\) | |||||||
\(152\) | 10.6671 | + | 14.3160i | 0.865213 | + | 1.16118i | ||||
\(153\) | 1.04875 | + | 4.07089i | 0.0847865 | + | 0.329112i | ||||
\(154\) | −5.65408 | + | 14.6504i | −0.455619 | + | 1.18057i | ||||
\(155\) | 4.68306 | + | 4.41824i | 0.376152 | + | 0.354881i | ||||
\(156\) | −8.61768 | + | 0.253281i | −0.689967 | + | 0.0202787i | ||||
\(157\) | −0.340408 | − | 0.517565i | −0.0271675 | − | 0.0413062i | 0.821649 | − | 0.569994i | \(-0.193055\pi\) |
−0.848816 | + | 0.528688i | \(0.822684\pi\) | |||||||
\(158\) | −18.1897 | + | 11.4680i | −1.44709 | + | 0.912344i | ||||
\(159\) | 5.82974 | + | 18.8058i | 0.462329 | + | 1.49140i | ||||
\(160\) | −10.4164 | + | 2.05316i | −0.823490 | + | 0.162317i | ||||
\(161\) | − | 9.40626i | − | 0.741317i | ||||||
\(162\) | −7.20121 | − | 10.4949i | −0.565781 | − | 0.824556i | ||||
\(163\) | −1.71358 | −0.134218 | −0.0671090 | − | 0.997746i | \(-0.521378\pi\) | ||||
−0.0671090 | + | 0.997746i | \(0.521378\pi\) | |||||||
\(164\) | 11.5920 | + | 11.8125i | 0.905181 | + | 0.922399i | ||||
\(165\) | −13.4500 | − | 12.4447i | −1.04708 | − | 0.968818i | ||||
\(166\) | −9.06443 | + | 5.71483i | −0.703536 | + | 0.443557i | ||||
\(167\) | 14.8751 | − | 9.78351i | 1.15107 | − | 0.757071i | 0.177200 | − | 0.984175i | \(-0.443296\pi\) |
0.973871 | + | 0.227104i | \(0.0729257\pi\) | |||||||
\(168\) | −3.39233 | − | 9.03459i | −0.261724 | − | 0.697034i | ||||
\(169\) | −4.67053 | + | 4.95047i | −0.359271 | + | 0.380805i | ||||
\(170\) | −3.46982 | − | 1.33912i | −0.266123 | − | 0.102706i | ||||
\(171\) | −7.83659 | − | 17.2384i | −0.599279 | − | 1.31826i | ||||
\(172\) | 2.63133 | − | 12.1637i | 0.200637 | − | 0.927476i | ||||
\(173\) | 4.86840 | − | 2.44500i | 0.370138 | − | 0.185890i | −0.254000 | − | 0.967204i | \(-0.581746\pi\) |
0.624138 | + | 0.781314i | \(0.285450\pi\) | |||||||
\(174\) | −1.42264 | − | 0.264868i | −0.107850 | − | 0.0200796i | ||||
\(175\) | 2.67265 | − | 1.15287i | 0.202033 | − | 0.0871486i | ||||
\(176\) | 3.49631 | + | 22.2750i | 0.263544 | + | 1.67904i | ||||
\(177\) | 3.81369 | − | 4.63569i | 0.286654 | − | 0.348440i | ||||
\(178\) | −2.91035 | − | 10.4494i | −0.218140 | − | 0.783218i | ||||
\(179\) | 3.00604 | + | 3.58246i | 0.224682 | + | 0.267766i | 0.866595 | − | 0.499012i | \(-0.166303\pi\) |
−0.641913 | + | 0.766777i | \(0.721859\pi\) | |||||||
\(180\) | 11.2588 | + | 0.214852i | 0.839181 | + | 0.0160141i | ||||
\(181\) | 2.36904 | − | 2.82331i | 0.176089 | − | 0.209855i | −0.670780 | − | 0.741657i | \(-0.734040\pi\) |
0.846869 | + | 0.531802i | \(0.178485\pi\) | |||||||
\(182\) | 6.31229 | + | 2.86824i | 0.467898 | + | 0.212608i | ||||
\(183\) | −23.9650 | + | 1.62954i | −1.77155 | + | 0.120459i | ||||
\(184\) | −6.75771 | − | 11.6935i | −0.498185 | − | 0.862059i | ||||
\(185\) | 9.29187 | − | 8.76643i | 0.683152 | − | 0.644521i | ||||
\(186\) | −0.568590 | + | 8.38361i | −0.0416911 | + | 0.614716i | ||||
\(187\) | −3.12857 | + | 7.25285i | −0.228784 | + | 0.530381i | ||||
\(188\) | 20.9291 | + | 8.54375i | 1.52641 | + | 0.623117i | ||||
\(189\) | 1.48406 | + | 10.1277i | 0.107949 | + | 0.736683i | ||||
\(190\) | 16.4398 | + | 3.22633i | 1.19267 | + | 0.234063i | ||||
\(191\) | −14.3764 | + | 1.68036i | −1.04024 | + | 0.121587i | −0.619023 | − | 0.785373i | \(-0.712471\pi\) |
−0.421218 | + | 0.906959i | \(0.638397\pi\) | |||||||
\(192\) | −10.7079 | − | 8.79435i | −0.772777 | − | 0.634678i | ||||
\(193\) | −7.32338 | + | 1.73567i | −0.527149 | + | 0.124937i | −0.485568 | − | 0.874199i | \(-0.661387\pi\) |
−0.0415802 | + | 0.999135i | \(0.513239\pi\) | |||||||
\(194\) | 10.6966 | + | 8.28810i | 0.767968 | + | 0.595051i | ||||
\(195\) | −5.83050 | + | 5.60885i | −0.417531 | + | 0.401658i | ||||
\(196\) | 0.602296 | − | 6.20989i | 0.0430212 | − | 0.443563i | ||||
\(197\) | 0.962687 | − | 5.45967i | 0.0685886 | − | 0.388985i | −0.931117 | − | 0.364721i | \(-0.881164\pi\) |
0.999706 | − | 0.0242646i | \(-0.00772443\pi\) | |||||||
\(198\) | 1.38640 | − | 23.8752i | 0.0985271 | − | 1.69674i | ||||
\(199\) | −9.43927 | + | 1.66440i | −0.669132 | + | 0.117986i | −0.497886 | − | 0.867242i | \(-0.665890\pi\) |
−0.171246 | + | 0.985228i | \(0.554779\pi\) | |||||||
\(200\) | 2.49429 | − | 3.35331i | 0.176373 | − | 0.237115i | ||||
\(201\) | 4.63613 | + | 1.63659i | 0.327008 | + | 0.115436i | ||||
\(202\) | −3.09147 | − | 14.2623i | −0.217515 | − | 1.00349i | ||||
\(203\) | 0.933474 | + | 0.694946i | 0.0655170 | + | 0.0487756i | ||||
\(204\) | −1.52820 | − | 4.60731i | −0.106995 | − | 0.322576i | ||||
\(205\) | 15.5045 | + | 0.903033i | 1.08288 | + | 0.0630705i | ||||
\(206\) | 8.64944 | − | 14.3365i | 0.602635 | − | 0.998873i | ||||
\(207\) | 4.37430 | + | 13.6408i | 0.304035 | + | 0.948101i | ||||
\(208\) | 9.90785 | − | 0.969221i | 0.686986 | − | 0.0672034i | ||||
\(209\) | 8.20541 | − | 34.6214i | 0.567580 | − | 2.39481i | ||||
\(210\) | −8.05364 | − | 4.14137i | −0.555754 | − | 0.285782i | ||||
\(211\) | 0.00219330 | + | 0.0376574i | 0.000150993 | + | 0.00259244i | 0.998383 | − | 0.0568486i | \(-0.0181052\pi\) |
−0.998232 | + | 0.0594410i | \(0.981068\pi\) | |||||||
\(212\) | −8.19432 | − | 21.2064i | −0.562788 | − | 1.45646i | ||||
\(213\) | −3.80880 | − | 2.45241i | −0.260974 | − | 0.168037i | ||||
\(214\) | 8.83930 | + | 6.06069i | 0.604242 | + | 0.414300i | ||||
\(215\) | −5.83926 | − | 10.1139i | −0.398234 | − | 0.689762i | ||||
\(216\) | 9.12095 | + | 11.5242i | 0.620602 | + | 0.784125i | ||||
\(217\) | 3.37882 | − | 5.85229i | 0.229369 | − | 0.397279i | ||||
\(218\) | 8.22486 | − | 3.93424i | 0.557058 | − | 0.266460i | ||||
\(219\) | −13.3844 | + | 1.69637i | −0.904434 | + | 0.114630i | ||||
\(220\) | 16.4730 | + | 13.2792i | 1.11061 | + | 0.895287i | ||||
\(221\) | 3.11651 | + | 1.56517i | 0.209639 | + | 0.105285i | ||||
\(222\) | 16.5406 | + | 2.09346i | 1.11013 | + | 0.140504i | ||||
\(223\) | 12.4299 | − | 3.72127i | 0.832368 | − | 0.249195i | 0.157859 | − | 0.987462i | \(-0.449541\pi\) |
0.674509 | + | 0.738267i | \(0.264356\pi\) | |||||||
\(224\) | 4.61824 | + | 10.1414i | 0.308569 | + | 0.677599i | ||||
\(225\) | −3.33970 | + | 2.91476i | −0.222647 | + | 0.194318i | ||||
\(226\) | 10.5052 | + | 0.202302i | 0.698798 | + | 0.0134570i | ||||
\(227\) | −10.9467 | + | 16.6436i | −0.726556 | + | 1.10468i | 0.263590 | + | 0.964635i | \(0.415094\pi\) |
−0.990146 | + | 0.140040i | \(0.955277\pi\) | |||||||
\(228\) | 10.3830 | + | 19.2430i | 0.687633 | + | 1.27440i | ||||
\(229\) | −0.936281 | + | 8.01039i | −0.0618712 | + | 0.529342i | 0.926390 | + | 0.376566i | \(0.122895\pi\) |
−0.988261 | + | 0.152776i | \(0.951179\pi\) | |||||||
\(230\) | −12.0692 | − | 3.86800i | −0.795818 | − | 0.255048i | ||||
\(231\) | −9.45421 | + | 16.7488i | −0.622042 | + | 1.10199i | ||||
\(232\) | 1.65973 | + | 0.193300i | 0.108967 | + | 0.0126908i | ||||
\(233\) | −4.89397 | + | 13.4461i | −0.320615 | + | 0.880882i | 0.669773 | + | 0.742566i | \(0.266391\pi\) |
−0.990388 | + | 0.138316i | \(0.955831\pi\) | |||||||
\(234\) | −10.4878 | − | 1.22400i | −0.685611 | − | 0.0800154i | ||||
\(235\) | 19.9341 | − | 7.25540i | 1.30035 | − | 0.473290i | ||||
\(236\) | −4.02904 | + | 5.64021i | −0.262268 | + | 0.367147i | ||||
\(237\) | −24.0794 | + | 10.6654i | −1.56412 | + | 0.692795i | ||||
\(238\) | −0.527764 | + | 3.86789i | −0.0342099 | + | 0.250718i | ||||
\(239\) | 6.18110 | − | 20.6463i | 0.399822 | − | 1.33550i | −0.487006 | − | 0.873398i | \(-0.661911\pi\) |
0.886828 | − | 0.462099i | \(-0.152904\pi\) | |||||||
\(240\) | −12.9873 | + | 0.637540i | −0.838325 | + | 0.0411530i | ||||
\(241\) | 5.78823 | + | 7.77494i | 0.372853 | + | 0.500828i | 0.948459 | − | 0.316899i | \(-0.102641\pi\) |
−0.575607 | + | 0.817727i | \(0.695234\pi\) | |||||||
\(242\) | 19.3150 | − | 22.1387i | 1.24162 | − | 1.42313i | ||||
\(243\) | −6.86197 | − | 13.9969i | −0.440195 | − | 0.897902i | ||||
\(244\) | 27.4801 | − | 3.76116i | 1.75924 | − | 0.240784i | ||||
\(245\) | −3.49620 | − | 4.69621i | −0.223364 | − | 0.300030i | ||||
\(246\) | 11.9486 | + | 16.3736i | 0.761814 | + | 1.04394i | ||||
\(247\) | −15.0493 | − | 4.50547i | −0.957566 | − | 0.286676i | ||||
\(248\) | −0.00400672 | − | 9.70279i | −0.000254427 | − | 0.616128i | ||||
\(249\) | −11.9994 | + | 5.31490i | −0.760434 | + | 0.336818i | ||||
\(250\) | −1.66681 | − | 17.1119i | −0.105418 | − | 1.08225i | ||||
\(251\) | 6.30767 | + | 17.3302i | 0.398137 | + | 1.09387i | 0.963191 | + | 0.268818i | \(0.0866329\pi\) |
−0.565055 | + | 0.825054i | \(0.691145\pi\) | |||||||
\(252\) | −2.50581 | − | 11.5507i | −0.157851 | − | 0.727625i | ||||
\(253\) | −9.20593 | + | 25.2931i | −0.578772 | + | 1.59016i | ||||
\(254\) | 10.7615 | + | 2.77041i | 0.675239 | + | 0.173831i | ||||
\(255\) | −3.96681 | − | 2.23914i | −0.248411 | − | 0.140221i | ||||
\(256\) | 13.0271 | + | 9.28953i | 0.814192 | + | 0.580596i | ||||
\(257\) | −1.29568 | + | 11.0852i | −0.0808222 | + | 0.691479i | 0.890710 | + | 0.454572i | \(0.150208\pi\) |
−0.971532 | + | 0.236907i | \(0.923866\pi\) | |||||||
\(258\) | 5.34950 | − | 14.2725i | 0.333045 | − | 0.888565i | ||||
\(259\) | −11.2023 | − | 7.36790i | −0.696080 | − | 0.457819i | ||||
\(260\) | 6.27596 | − | 6.91985i | 0.389218 | − | 0.429151i | ||||
\(261\) | −1.67689 | − | 0.573695i | −0.103797 | − | 0.0355108i | ||||
\(262\) | 3.45066 | + | 22.0436i | 0.213182 | + | 1.36186i | ||||
\(263\) | 4.71612 | + | 15.7529i | 0.290808 | + | 0.971367i | 0.971149 | + | 0.238471i | \(0.0766464\pi\) |
−0.680341 | + | 0.732895i | \(0.738168\pi\) | |||||||
\(264\) | 0.279668 | + | 27.6138i | 0.0172124 | + | 1.69951i | ||||
\(265\) | −19.0649 | − | 9.57477i | −1.17115 | − | 0.588173i | ||||
\(266\) | −0.684260 | − | 17.5711i | −0.0419547 | − | 1.07735i | ||||
\(267\) | −1.67040 | − | 13.1796i | −0.102227 | − | 0.806576i | ||||
\(268\) | −5.46958 | − | 1.52094i | −0.334108 | − | 0.0929061i | ||||
\(269\) | −2.92403 | + | 5.06457i | −0.178281 | + | 0.308792i | −0.941292 | − | 0.337594i | \(-0.890387\pi\) |
0.763011 | + | 0.646386i | \(0.223720\pi\) | |||||||
\(270\) | 13.6052 | + | 2.26047i | 0.827984 | + | 0.137568i | ||||
\(271\) | −1.60062 | + | 0.924120i | −0.0972309 | + | 0.0561363i | −0.547827 | − | 0.836592i | \(-0.684545\pi\) |
0.450596 | + | 0.892728i | \(0.351211\pi\) | |||||||
\(272\) | 2.12270 | + | 5.18759i | 0.128707 | + | 0.314544i | ||||
\(273\) | 7.13965 | + | 4.59709i | 0.432111 | + | 0.278228i | ||||
\(274\) | −4.31799 | − | 2.27372i | −0.260859 | − | 0.137360i | ||||
\(275\) | −8.31497 | + | 0.484292i | −0.501411 | + | 0.0292039i | ||||
\(276\) | −6.11159 | − | 15.3706i | −0.367874 | − | 0.925204i | ||||
\(277\) | −5.56128 | + | 23.4649i | −0.334145 | + | 1.40987i | 0.503662 | + | 0.863901i | \(0.331986\pi\) |
−0.837807 | + | 0.545967i | \(0.816162\pi\) | |||||||
\(278\) | −18.2698 | − | 22.6446i | −1.09575 | − | 1.35813i | ||||
\(279\) | −2.17835 | + | 10.0582i | −0.130415 | + | 0.602168i | ||||
\(280\) | 9.60352 | + | 4.13785i | 0.573920 | + | 0.247284i | ||||
\(281\) | −3.41844 | − | 0.199101i | −0.203927 | − | 0.0118774i | −0.0441227 | − | 0.999026i | \(-0.514049\pi\) |
−0.159804 | + | 0.987149i | \(0.551086\pi\) | |||||||
\(282\) | 23.8439 | + | 14.0713i | 1.41988 | + | 0.837933i | ||||
\(283\) | 7.10739 | − | 9.54688i | 0.422490 | − | 0.567503i | −0.539013 | − | 0.842298i | \(-0.681202\pi\) |
0.961503 | + | 0.274795i | \(0.0886099\pi\) | |||||||
\(284\) | 4.58060 | + | 2.52582i | 0.271809 | + | 0.149880i | ||||
\(285\) | 19.3485 | + | 6.83017i | 1.14611 | + | 0.404584i | ||||
\(286\) | −14.1664 | − | 13.8904i | −0.837675 | − | 0.821360i | ||||
\(287\) | −2.83065 | − | 16.0534i | −0.167088 | − | 0.947602i | ||||
\(288\) | −11.4135 | − | 12.5592i | −0.672544 | − | 0.740057i | ||||
\(289\) | 2.61105 | − | 14.8080i | 0.153591 | − | 0.871059i | ||||
\(290\) | 1.27554 | − | 0.911970i | 0.0749026 | − | 0.0535527i | ||||
\(291\) | 11.4896 | + | 11.9437i | 0.673534 | + | 0.700151i | ||||
\(292\) | 15.2858 | − | 3.00640i | 0.894532 | − | 0.175936i | ||||
\(293\) | −5.67361 | + | 1.34467i | −0.331456 | + | 0.0785565i | −0.392974 | − | 0.919549i | \(-0.628554\pi\) |
0.0615183 | + | 0.998106i | \(0.480406\pi\) | |||||||
\(294\) | 1.83304 | − | 7.41810i | 0.106905 | − | 0.432632i | ||||
\(295\) | 0.755128 | + | 6.46053i | 0.0439652 | + | 0.376147i | ||||
\(296\) | −19.2197 | − | 1.11145i | −1.11712 | − | 0.0646020i | ||||
\(297\) | 5.92144 | − | 28.6855i | 0.343597 | − | 1.66450i | ||||
\(298\) | 10.1850 | + | 29.7536i | 0.590004 | + | 1.72358i | ||||
\(299\) | 10.9120 | + | 4.70700i | 0.631060 | + | 0.272213i | ||||
\(300\) | 3.61828 | − | 3.62040i | 0.208901 | − | 0.209024i | ||||
\(301\) | −8.91597 | + | 8.41179i | −0.513908 | + | 0.484847i | ||||
\(302\) | 3.41213 | + | 8.34863i | 0.196346 | + | 0.480410i | ||||
\(303\) | −1.21253 | − | 17.8322i | −0.0696579 | − | 1.02443i | ||||
\(304\) | −13.4742 | − | 21.3522i | −0.772797 | − | 1.22463i | ||||
\(305\) | 16.7304 | − | 19.9385i | 0.957981 | − | 1.14168i | ||||
\(306\) | −1.03337 | − | 5.85458i | −0.0590740 | − | 0.334684i | ||||
\(307\) | −0.833511 | + | 0.699399i | −0.0475710 | + | 0.0399168i | −0.666263 | − | 0.745717i | \(-0.732107\pi\) |
0.618692 | + | 0.785633i | \(0.287663\pi\) | |||||||
\(308\) | 9.57483 | − | 20.0382i | 0.545577 | − | 1.14178i | ||||
\(309\) | 13.0282 | − | 15.8363i | 0.741148 | − | 0.900897i | ||||
\(310\) | −6.11966 | − | 6.74192i | −0.347573 | − | 0.382915i | ||||
\(311\) | 0.517108 | + | 1.19879i | 0.0293225 | + | 0.0679772i | 0.932248 | − | 0.361820i | \(-0.117844\pi\) |
−0.902926 | + | 0.429797i | \(0.858585\pi\) | |||||||
\(312\) | 12.1784 | + | 0.585626i | 0.689468 | + | 0.0331546i | ||||
\(313\) | −2.47323 | + | 1.24210i | −0.139795 | + | 0.0702077i | −0.517322 | − | 0.855791i | \(-0.673071\pi\) |
0.377527 | + | 0.925999i | \(0.376775\pi\) | |||||||
\(314\) | 0.423347 | + | 0.766993i | 0.0238908 | + | 0.0432839i | ||||
\(315\) | −9.02362 | − | 6.44920i | −0.508424 | − | 0.363371i | ||||
\(316\) | 26.9015 | − | 14.1797i | 1.51333 | − | 0.797670i | ||||
\(317\) | −8.53705 | + | 9.04874i | −0.479488 | + | 0.508228i | −0.921285 | − | 0.388887i | \(-0.872860\pi\) |
0.441797 | + | 0.897115i | \(0.354341\pi\) | |||||||
\(318\) | −6.16250 | − | 27.1535i | −0.345576 | − | 1.52269i | ||||
\(319\) | −1.82993 | − | 2.78228i | −0.102457 | − | 0.155778i | ||||
\(320\) | 14.9115 | − | 1.75539i | 0.833578 | − | 0.0981292i | ||||
\(321\) | 9.63472 | + | 8.91459i | 0.537758 | + | 0.497564i | ||||
\(322\) | −1.02901 | + | 13.2626i | −0.0573447 | + | 0.739096i | ||||
\(323\) | − | 8.84486i | − | 0.492141i | ||||||
\(324\) | 9.00543 | + | 15.5853i | 0.500302 | + | 0.865851i | ||||
\(325\) | 3.67740i | 0.203986i | ||||||||
\(326\) | 2.41611 | + | 0.187460i | 0.133816 | + | 0.0103825i | ||||
\(327\) | 10.6657 | − | 3.30634i | 0.589817 | − | 0.182841i | ||||
\(328\) | −15.0522 | − | 17.9234i | −0.831116 | − | 0.989655i | ||||
\(329\) | −12.2351 | − | 18.6026i | −0.674543 | − | 1.02559i | ||||
\(330\) | 17.6028 | + | 19.0181i | 0.969000 | + | 1.04691i | ||||
\(331\) | 15.2690 | − | 16.1842i | 0.839258 | − | 0.889562i | −0.155907 | − | 0.987772i | \(-0.549830\pi\) |
0.995166 | + | 0.0982098i | \(0.0313116\pi\) | |||||||
\(332\) | 13.4058 | − | 7.06615i | 0.735739 | − | 0.387806i | ||||
\(333\) | 19.6718 | + | 5.47525i | 1.07801 | + | 0.300042i | ||||
\(334\) | −22.0438 | + | 12.1672i | −1.20618 | + | 0.665761i | ||||
\(335\) | −4.76076 | + | 2.39094i | −0.260108 | + | 0.130631i | ||||
\(336\) | 3.79475 | + | 13.1097i | 0.207020 | + | 0.715191i | ||||
\(337\) | 12.7229 | + | 29.4949i | 0.693059 | + | 1.60669i | 0.791228 | + | 0.611521i | \(0.209442\pi\) |
−0.0981694 | + | 0.995170i | \(0.531299\pi\) | |||||||
\(338\) | 7.12689 | − | 6.46910i | 0.387652 | − | 0.351873i | ||||
\(339\) | 12.6942 | + | 2.11140i | 0.689456 | + | 0.114675i | ||||
\(340\) | 4.74587 | + | 2.26771i | 0.257381 | + | 0.122984i | ||||
\(341\) | −14.8132 | + | 12.4297i | −0.802178 | + | 0.673107i | ||||
\(342\) | 9.16357 | + | 25.1631i | 0.495509 | + | 1.36066i | ||||
\(343\) | −12.8136 | + | 15.2706i | −0.691868 | + | 0.824536i | ||||
\(344\) | −5.04078 | + | 16.8627i | −0.271781 | + | 0.909177i | ||||
\(345\) | −13.9382 | − | 6.83129i | −0.750407 | − | 0.367784i | ||||
\(346\) | −7.13181 | + | 2.91481i | −0.383408 | + | 0.156701i | ||||
\(347\) | −18.5762 | + | 17.5257i | −0.997221 | + | 0.940829i | −0.998248 | − | 0.0591703i | \(-0.981154\pi\) |
0.00102728 | + | 0.999999i | \(0.499673\pi\) | |||||||
\(348\) | 1.97691 | + | 0.529089i | 0.105973 | + | 0.0283622i | ||||
\(349\) | −30.4009 | − | 13.1137i | −1.62732 | − | 0.701959i | −0.630106 | − | 0.776509i | \(-0.716989\pi\) |
−0.997217 | + | 0.0745500i | \(0.976248\pi\) | |||||||
\(350\) | −3.89449 | + | 1.33314i | −0.208169 | + | 0.0712592i | ||||
\(351\) | −12.4916 | − | 3.34639i | −0.666754 | − | 0.178617i | ||||
\(352\) | −2.49290 | − | 31.7897i | −0.132872 | − | 1.69439i | ||||
\(353\) | 0.321921 | + | 2.75421i | 0.0171341 | + | 0.146592i | 0.999097 | − | 0.0424804i | \(-0.0135260\pi\) |
−0.981963 | + | 0.189072i | \(0.939452\pi\) | |||||||
\(354\) | −5.88434 | + | 6.11901i | −0.312749 | + | 0.325222i | ||||
\(355\) | 4.77633 | − | 1.13201i | 0.253501 | − | 0.0600809i | ||||
\(356\) | 2.96039 | + | 15.0518i | 0.156900 | + | 0.797745i | ||||
\(357\) | −1.32667 | + | 4.59332i | −0.0702147 | + | 0.243104i | ||||
\(358\) | −3.84654 | − | 5.38004i | −0.203296 | − | 0.284344i | ||||
\(359\) | 1.44445 | − | 8.19188i | 0.0762351 | − | 0.432351i | −0.922671 | − | 0.385588i | \(-0.873999\pi\) |
0.998906 | − | 0.0467625i | \(-0.0148904\pi\) | |||||||
\(360\) | −15.8511 | − | 1.53461i | −0.835428 | − | 0.0808812i | ||||
\(361\) | 3.61913 | + | 20.5251i | 0.190480 | + | 1.08027i | ||||
\(362\) | −3.64915 | + | 3.72163i | −0.191795 | + | 0.195605i | ||||
\(363\) | 27.3387 | − | 23.3962i | 1.43491 | − | 1.22798i | ||||
\(364\) | −8.58641 | − | 4.73470i | −0.450050 | − | 0.248165i | ||||
\(365\) | 8.72988 | − | 11.7263i | 0.456943 | − | 0.613781i | ||||
\(366\) | 33.9684 | + | 0.324080i | 1.77556 | + | 0.0169399i | ||||
\(367\) | 30.6055 | + | 1.78257i | 1.59759 | + | 0.0930493i | 0.833672 | − | 0.552259i | \(-0.186234\pi\) |
0.763922 | + | 0.645309i | \(0.223271\pi\) | |||||||
\(368\) | 8.24897 | + | 17.2269i | 0.430007 | + | 0.898013i | ||||
\(369\) | 11.5705 | + | 21.9640i | 0.602334 | + | 1.14340i | ||||
\(370\) | −14.0603 | + | 11.3440i | −0.730962 | + | 0.589744i | ||||
\(371\) | −5.16403 | + | 21.7887i | −0.268103 | + | 1.13122i | ||||
\(372\) | 1.71884 | − | 11.7585i | 0.0891176 | − | 0.609649i | ||||
\(373\) | 16.8780 | − | 0.983032i | 0.873910 | − | 0.0508995i | 0.384676 | − | 0.923052i | \(-0.374313\pi\) |
0.489234 | + | 0.872152i | \(0.337276\pi\) | |||||||
\(374\) | 5.20465 | − | 9.88409i | 0.269126 | − | 0.511094i | ||||
\(375\) | 1.02008 | − | 21.0322i | 0.0526768 | − | 1.08610i | ||||
\(376\) | −28.5749 | − | 14.3361i | −1.47364 | − | 0.739326i | ||||
\(377\) | −1.27332 | + | 0.735149i | −0.0655791 | + | 0.0378621i | ||||
\(378\) | −0.984549 | − | 14.4422i | −0.0506397 | − | 0.742826i | ||||
\(379\) | 8.40685 | − | 14.5611i | 0.431831 | − | 0.747953i | −0.565200 | − | 0.824954i | \(-0.691201\pi\) |
0.997031 | + | 0.0770007i | \(0.0245344\pi\) | |||||||
\(380\) | −22.8268 | − | 6.34752i | −1.17099 | − | 0.325621i | ||||
\(381\) | 12.5486 | + | 5.26894i | 0.642883 | + | 0.269936i | ||||
\(382\) | 20.4542 | − | 0.796537i | 1.04653 | − | 0.0407544i | ||||
\(383\) | 0.393880 | + | 0.197814i | 0.0201263 | + | 0.0101078i | 0.458834 | − | 0.888522i | \(-0.348267\pi\) |
−0.438708 | + | 0.898630i | \(0.644564\pi\) | |||||||
\(384\) | 14.1358 | + | 13.5712i | 0.721366 | + | 0.692554i | ||||
\(385\) | −5.97708 | − | 19.9648i | −0.304620 | − | 1.01750i | ||||
\(386\) | 10.5157 | − | 1.64610i | 0.535234 | − | 0.0837845i | ||||
\(387\) | 9.01797 | − | 16.3449i | 0.458409 | − | 0.830860i | ||||
\(388\) | −14.1752 | − | 12.8562i | −0.719636 | − | 0.652674i | ||||
\(389\) | −6.60457 | − | 4.34389i | −0.334865 | − | 0.220244i | 0.370929 | − | 0.928661i | \(-0.379039\pi\) |
−0.705794 | + | 0.708417i | \(0.749410\pi\) | |||||||
\(390\) | 8.83446 | − | 7.27050i | 0.447350 | − | 0.368156i | ||||
\(391\) | −0.776786 | + | 6.64583i | −0.0392837 | + | 0.336094i | ||||
\(392\) | −1.52856 | + | 8.68990i | −0.0772042 | + | 0.438906i | ||||
\(393\) | 0.265461 | + | 27.3252i | 0.0133907 | + | 1.37838i | ||||
\(394\) | −1.95464 | + | 7.59269i | −0.0984731 | + | 0.382514i | ||||
\(395\) | 9.76012 | − | 26.8157i | 0.491085 | − | 1.34925i | ||||
\(396\) | −4.56666 | + | 33.5118i | −0.229483 | + | 1.68403i | ||||
\(397\) | −3.07183 | − | 8.43979i | −0.154171 | − | 0.423581i | 0.838429 | − | 0.545011i | \(-0.183474\pi\) |
−0.992600 | + | 0.121430i | \(0.961252\pi\) | |||||||
\(398\) | 13.4912 | − | 1.31414i | 0.676254 | − | 0.0658717i | ||||
\(399\) | 2.29231 | − | 21.4140i | 0.114759 | − | 1.07204i | ||||
\(400\) | −3.88374 | + | 4.45522i | −0.194187 | + | 0.222761i | ||||
\(401\) | −4.89472 | − | 1.46538i | −0.244431 | − | 0.0731778i | 0.162244 | − | 0.986751i | \(-0.448127\pi\) |
−0.406675 | + | 0.913573i | \(0.633312\pi\) | |||||||
\(402\) | −6.35780 | − | 2.81473i | −0.317098 | − | 0.140386i | ||||
\(403\) | 5.09834 | + | 6.84826i | 0.253966 | + | 0.341136i | ||||
\(404\) | 2.79864 | + | 20.4477i | 0.139238 | + | 1.01731i | ||||
\(405\) | 16.0851 | + | 5.15617i | 0.799273 | + | 0.256212i | ||||
\(406\) | −1.24015 | − | 1.08198i | −0.0615477 | − | 0.0536976i | ||||
\(407\) | 22.9117 | + | 30.7758i | 1.13569 | + | 1.52550i | ||||
\(408\) | 1.65070 | + | 6.66337i | 0.0817217 | + | 0.329886i | ||||
\(409\) | −3.65861 | + | 12.2206i | −0.180907 | + | 0.604270i | 0.818644 | + | 0.574301i | \(0.194726\pi\) |
−0.999551 | + | 0.0299692i | \(0.990459\pi\) | |||||||
\(410\) | −21.7621 | − | 2.96939i | −1.07476 | − | 0.146648i | ||||
\(411\) | −4.82858 | − | 3.52236i | −0.238176 | − | 0.173745i | ||||
\(412\) | −13.7639 | + | 19.2679i | −0.678097 | + | 0.949263i | ||||
\(413\) | 6.41540 | − | 2.33501i | 0.315681 | − | 0.114899i | ||||
\(414\) | −4.67540 | − | 19.7117i | −0.229783 | − | 0.968779i | ||||
\(415\) | 4.86375 | − | 13.3630i | 0.238752 | − | 0.655966i | ||||
\(416\) | −14.0759 | + | 0.282692i | −0.690126 | + | 0.0138601i | ||||
\(417\) | −18.1164 | − | 30.6861i | −0.887163 | − | 1.50271i | ||||
\(418\) | −15.3569 | + | 47.9176i | −0.751130 | + | 2.34373i | ||||
\(419\) | −4.24143 | + | 36.2878i | −0.207207 | + | 1.77277i | 0.344550 | + | 0.938768i | \(0.388032\pi\) |
−0.551757 | + | 0.834005i | \(0.686043\pi\) | |||||||
\(420\) | 10.9024 | + | 6.72027i | 0.531982 | + | 0.327916i | ||||
\(421\) | 13.8705 | − | 21.0890i | 0.676005 | − | 1.02782i | −0.320738 | − | 0.947168i | \(-0.603931\pi\) |
0.996743 | − | 0.0806473i | \(-0.0256987\pi\) | |||||||
\(422\) | 0.00102711 | − | 0.0533360i | 4.99988e−5 | − | 0.00259636i | ||||
\(423\) | 26.3941 | + | 21.2873i | 1.28333 | + | 1.03503i | ||||
\(424\) | 9.23387 | + | 30.7970i | 0.448437 | + | 1.49563i | ||||
\(425\) | −1.98352 | + | 0.593827i | −0.0962148 | + | 0.0288048i | ||||
\(426\) | 5.10202 | + | 3.87451i | 0.247194 | + | 0.187721i | ||||
\(427\) | −24.4130 | − | 12.2607i | −1.18143 | − | 0.593336i | ||||
\(428\) | −11.8002 | − | 9.51241i | −0.570384 | − | 0.459800i | ||||
\(429\) | −14.6991 | − | 19.3490i | −0.709678 | − | 0.934178i | ||||
\(430\) | 7.12679 | + | 14.8992i | 0.343685 | + | 0.718501i | ||||
\(431\) | −4.99768 | + | 8.65623i | −0.240730 | + | 0.416956i | −0.960922 | − | 0.276818i | \(-0.910720\pi\) |
0.720193 | + | 0.693774i | \(0.244053\pi\) | |||||||
\(432\) | −11.5996 | − | 17.2467i | −0.558087 | − | 0.829783i | ||||
\(433\) | −1.44910 | − | 2.50992i | −0.0696393 | − | 0.120619i | 0.829103 | − | 0.559096i | \(-0.188852\pi\) |
−0.898743 | + | 0.438477i | \(0.855518\pi\) | |||||||
\(434\) | −5.40428 | + | 7.88195i | −0.259414 | + | 0.378346i | ||||
\(435\) | 1.70771 | − | 0.878519i | 0.0818783 | − | 0.0421218i | ||||
\(436\) | −12.0272 | + | 4.64741i | −0.576001 | + | 0.222571i | ||||
\(437\) | −1.75248 | − | 30.0890i | −0.0838327 | − | 1.43935i | ||||
\(438\) | 19.0573 | − | 0.927625i | 0.910591 | − | 0.0443236i | ||||
\(439\) | 4.49809 | − | 18.9789i | 0.214682 | − | 0.905815i | −0.753874 | − | 0.657019i | \(-0.771817\pi\) |
0.968556 | − | 0.248796i | \(-0.0800348\pi\) | |||||||
\(440\) | −21.7738 | − | 20.5255i | −1.03802 | − | 0.978515i | ||||
\(441\) | 3.53908 | − | 8.66356i | 0.168528 | − | 0.412550i | ||||
\(442\) | −4.22298 | − | 2.54779i | −0.200866 | − | 0.121186i | ||||
\(443\) | −32.4867 | − | 1.89214i | −1.54349 | − | 0.0898981i | −0.734862 | − | 0.678217i | \(-0.762753\pi\) |
−0.808629 | + | 0.588318i | \(0.799790\pi\) | |||||||
\(444\) | −23.0928 | − | 4.76121i | −1.09594 | − | 0.225957i | ||||
\(445\) | 11.5468 | + | 8.59627i | 0.547371 | + | 0.407502i | ||||
\(446\) | −17.9330 | + | 3.88711i | −0.849150 | + | 0.184060i | ||||
\(447\) | 7.05647 | + | 37.8645i | 0.333759 | + | 1.79093i | ||||
\(448\) | −5.40218 | − | 14.8043i | −0.255229 | − | 0.699438i | ||||
\(449\) | −3.44153 | + | 0.606834i | −0.162416 | + | 0.0286383i | −0.254265 | − | 0.967135i | \(-0.581833\pi\) |
0.0918490 | + | 0.995773i | \(0.470722\pi\) | |||||||
\(450\) | 5.02776 | − | 3.74439i | 0.237011 | − | 0.176512i | ||||
\(451\) | −8.09999 | + | 45.9373i | −0.381414 | + | 2.16311i | ||||
\(452\) | −14.7900 | − | 1.43448i | −0.695663 | − | 0.0674723i | ||||
\(453\) | 2.65167 | + | 10.7230i | 0.124586 | + | 0.503809i | ||||
\(454\) | 17.2553 | − | 22.2696i | 0.809832 | − | 1.04516i | ||||
\(455\) | −8.95330 | + | 2.12197i | −0.419737 | + | 0.0994796i | ||||
\(456\) | −12.5347 | − | 28.2681i | −0.586991 | − | 1.32377i | ||||
\(457\) | 5.38134 | − | 0.628988i | 0.251728 | − | 0.0294228i | 0.0107072 | − | 0.999943i | \(-0.496592\pi\) |
0.241021 | + | 0.970520i | \(0.422518\pi\) | |||||||
\(458\) | 2.19644 | − | 11.1920i | 0.102633 | − | 0.522970i | ||||
\(459\) | −0.212171 | − | 7.27812i | −0.00990330 | − | 0.339713i | ||||
\(460\) | 16.5941 | + | 6.77411i | 0.773705 | + | 0.315845i | ||||
\(461\) | 0.853606 | − | 1.97888i | 0.0397564 | − | 0.0921656i | −0.897181 | − | 0.441663i | \(-0.854389\pi\) |
0.936937 | + | 0.349498i | \(0.113648\pi\) | |||||||
\(462\) | 15.1625 | − | 22.5812i | 0.705423 | − | 1.05057i | ||||
\(463\) | −19.7412 | + | 18.6249i | −0.917452 | + | 0.865571i | −0.991290 | − | 0.131699i | \(-0.957957\pi\) |
0.0738377 | + | 0.997270i | \(0.476475\pi\) | |||||||
\(464\) | −2.31903 | − | 0.454117i | −0.107658 | − | 0.0210819i | ||||
\(465\) | −6.21806 | − | 9.25696i | −0.288355 | − | 0.429281i | ||||
\(466\) | 8.37134 | − | 18.4233i | 0.387795 | − | 0.853441i | ||||
\(467\) | 3.73096 | − | 4.44639i | 0.172648 | − | 0.205754i | −0.672781 | − | 0.739842i | \(-0.734900\pi\) |
0.845429 | + | 0.534087i | \(0.179345\pi\) | |||||||
\(468\) | 14.6537 | + | 2.87315i | 0.677367 | + | 0.132811i | ||||
\(469\) | 3.59424 | + | 4.28345i | 0.165967 | + | 0.197791i | ||||
\(470\) | −28.9003 | + | 8.04922i | −1.33307 | + | 0.371283i | ||||
\(471\) | 0.376753 | + | 1.00464i | 0.0173598 | + | 0.0462915i | ||||
\(472\) | 6.29787 | − | 7.51180i | 0.289883 | − | 0.345759i | ||||
\(473\) | 32.2074 | − | 13.8929i | 1.48090 | − | 0.638796i | ||||
\(474\) | 35.1181 | − | 12.4038i | 1.61303 | − | 0.569726i | ||||
\(475\) | 8.33455 | − | 4.18577i | 0.382415 | − | 0.192056i | ||||
\(476\) | 1.16727 | − | 5.39590i | 0.0535017 | − | 0.247320i | ||||
\(477\) | −2.64388 | − | 33.9992i | −0.121055 | − | 1.55672i | ||||
\(478\) | −10.9738 | + | 28.4346i | −0.501932 | + | 1.30057i | ||||
\(479\) | 26.9381 | − | 28.5527i | 1.23083 | − | 1.30461i | 0.293588 | − | 0.955932i | \(-0.405151\pi\) |
0.937244 | − | 0.348674i | \(-0.113368\pi\) | |||||||
\(480\) | 18.3815 | + | 0.521849i | 0.838996 | + | 0.0238190i | ||||
\(481\) | 14.1531 | − | 9.30867i | 0.645328 | − | 0.424439i | ||||
\(482\) | −7.31071 | − | 11.5957i | −0.332994 | − | 0.528170i | ||||
\(483\) | −3.60304 | + | 15.8887i | −0.163944 | + | 0.722961i | ||||
\(484\) | −29.6556 | + | 29.1020i | −1.34798 | + | 1.32282i | ||||
\(485\) | −17.9581 | −0.815434 | ||||||||
\(486\) | 8.14399 | + | 20.4860i | 0.369419 | + | 0.929263i | ||||
\(487\) | − | 15.0924i | − | 0.683903i | −0.939718 | − | 0.341952i | \(-0.888912\pi\) | ||
0.939718 | − | 0.341952i | \(-0.111088\pi\) | |||||||
\(488\) | −39.1578 | + | 2.29691i | −1.77259 | + | 0.103976i | ||||
\(489\) | 2.89452 | + | 0.656383i | 0.130895 | + | 0.0296827i | ||||
\(490\) | 4.41581 | + | 7.00402i | 0.199486 | + | 0.316410i | ||||
\(491\) | 4.34043 | + | 6.59931i | 0.195881 | + | 0.297823i | 0.920051 | − | 0.391799i | \(-0.128147\pi\) |
−0.724170 | + | 0.689622i | \(0.757777\pi\) | |||||||
\(492\) | −15.0560 | − | 24.3935i | −0.678777 | − | 1.09974i | ||||
\(493\) | −0.602140 | − | 0.568090i | −0.0271190 | − | 0.0255855i | ||||
\(494\) | 20.7263 | + | 7.99896i | 0.932521 | + | 0.359890i | ||||
\(495\) | 17.9523 | + | 26.1731i | 0.806898 | + | 1.17639i | ||||
\(496\) | −1.05580 | + | 13.6811i | −0.0474070 | + | 0.614302i | ||||
\(497\) | −2.31226 | − | 4.60409i | −0.103719 | − | 0.206521i | ||||
\(498\) | 17.5004 | − | 6.18118i | 0.784210 | − | 0.276985i | ||||
\(499\) | −6.11584 | − | 14.1781i | −0.273783 | − | 0.634699i | 0.724741 | − | 0.689021i | \(-0.241959\pi\) |
−0.998523 | + | 0.0543223i | \(0.982700\pi\) | |||||||
\(500\) | 0.478181 | + | 24.3097i | 0.0213849 | + | 1.08716i | ||||
\(501\) | −28.8740 | + | 10.8281i | −1.29000 | + | 0.483763i | ||||
\(502\) | −6.99780 | − | 25.1252i | −0.312327 | − | 1.12139i | ||||
\(503\) | 9.09338 | − | 7.63025i | 0.405454 | − | 0.340216i | −0.417143 | − | 0.908841i | \(-0.636969\pi\) |
0.822597 | + | 0.568625i | \(0.192524\pi\) | |||||||
\(504\) | 2.26952 | + | 16.5603i | 0.101093 | + | 0.737655i | ||||
\(505\) | 14.8361 | + | 12.4489i | 0.660196 | + | 0.553971i | ||||
\(506\) | 15.7471 | − | 34.6555i | 0.700045 | − | 1.54063i | ||||
\(507\) | 9.78555 | − | 6.57312i | 0.434591 | − | 0.291923i | ||||
\(508\) | −14.8704 | − | 5.08349i | −0.659769 | − | 0.225543i | ||||
\(509\) | −24.4607 | − | 25.9268i | −1.08420 | − | 1.14919i | −0.988100 | − | 0.153815i | \(-0.950844\pi\) |
−0.0961022 | − | 0.995371i | \(-0.530638\pi\) | |||||||
\(510\) | 5.34815 | + | 3.59109i | 0.236820 | + | 0.159016i | ||||
\(511\) | −14.0892 | − | 6.07749i | −0.623270 | − | 0.268852i | ||||
\(512\) | −17.3516 | − | 14.5231i | −0.766840 | − | 0.641838i | ||||
\(513\) | 6.63415 | + | 32.1203i | 0.292905 | + | 1.41815i | ||||
\(514\) | 3.03957 | − | 15.4882i | 0.134070 | − | 0.683155i | ||||
\(515\) | 2.57964 | + | 22.0703i | 0.113673 | + | 0.972532i | ||||
\(516\) | −9.10403 | + | 19.5386i | −0.400782 | + | 0.860140i | ||||
\(517\) | 14.6934 | + | 61.9962i | 0.646213 | + | 2.72659i | ||||
\(518\) | 14.9890 | + | 11.6141i | 0.658579 | + | 0.510292i | ||||
\(519\) | −9.16008 | + | 2.26518i | −0.402083 | + | 0.0994305i | ||||
\(520\) | −9.60596 | + | 9.07025i | −0.421249 | + | 0.397757i | ||||
\(521\) | −36.3432 | − | 6.40828i | −1.59222 | − | 0.280752i | −0.693895 | − | 0.720076i | \(-0.744107\pi\) |
−0.898329 | + | 0.439324i | \(0.855218\pi\) | |||||||
\(522\) | 2.30161 | + | 0.992343i | 0.100739 | + | 0.0434337i | ||||
\(523\) | 1.29028 | + | 7.31756i | 0.0564201 | + | 0.319974i | 0.999936 | − | 0.0113542i | \(-0.00361425\pi\) |
−0.943515 | + | 0.331329i | \(0.892503\pi\) | |||||||
\(524\) | −2.45385 | − | 31.4584i | −0.107197 | − | 1.37427i | ||||
\(525\) | −4.95615 | + | 0.923633i | −0.216304 | + | 0.0403106i | ||||
\(526\) | −4.92629 | − | 22.7272i | −0.214797 | − | 0.990952i | ||||
\(527\) | −2.87054 | + | 3.85580i | −0.125043 | + | 0.167961i | ||||
\(528\) | 2.62653 | − | 38.9653i | 0.114305 | − | 1.69575i | ||||
\(529\) | 0.0115901 | − | 0.198995i | 0.000503920 | − | 0.00865196i | ||||
\(530\) | 25.8336 | + | 15.5858i | 1.12214 | + | 0.677005i | ||||
\(531\) | −8.21763 | + | 6.36963i | −0.356615 | + | 0.276418i | ||||
\(532\) | −0.957428 | + | 24.8496i | −0.0415098 | + | 1.07737i | ||||
\(533\) | 20.0398 | + | 4.74951i | 0.868019 | + | 0.205724i | ||||
\(534\) | 0.913428 | + | 18.7656i | 0.0395279 | + | 0.812067i | ||||
\(535\) | −14.1992 | + | 0.827009i | −0.613885 | + | 0.0357547i | ||||
\(536\) | 7.54558 | + | 2.74284i | 0.325920 | + | 0.118473i | ||||
\(537\) | −3.70545 | − | 7.20282i | −0.159902 | − | 0.310825i | ||||
\(538\) | 4.67686 | − | 6.82105i | 0.201634 | − | 0.294076i | ||||
\(539\) | 15.2286 | − | 8.79223i | 0.655942 | − | 0.378708i | ||||
\(540\) | −18.9357 | − | 4.67557i | −0.814861 | − | 0.201205i | ||||
\(541\) | −26.5732 | − | 15.3421i | −1.14247 | − | 0.659607i | −0.195430 | − | 0.980718i | \(-0.562610\pi\) |
−0.947042 | + | 0.321111i | \(0.895944\pi\) | |||||||
\(542\) | 2.35794 | − | 1.12788i | 0.101282 | − | 0.0484468i | ||||
\(543\) | −5.08315 | + | 3.86158i | −0.218139 | + | 0.165716i | ||||
\(544\) | −2.42545 | − | 7.54659i | −0.103990 | − | 0.323557i | ||||
\(545\) | −5.43034 | + | 10.8127i | −0.232610 | + | 0.463165i | ||||
\(546\) | −9.56383 | − | 7.26284i | −0.409294 | − | 0.310821i | ||||
\(547\) | 10.7111 | + | 35.7775i | 0.457973 | + | 1.52974i | 0.805805 | + | 0.592181i | \(0.201733\pi\) |
−0.347832 | + | 0.937557i | \(0.613082\pi\) | |||||||
\(548\) | 5.83952 | + | 3.67826i | 0.249452 | + | 0.157128i | ||||
\(549\) | 41.1051 | + | 6.42718i | 1.75432 | + | 0.274305i | ||||
\(550\) | 11.7769 | + | 0.226791i | 0.502168 | + | 0.00967039i | ||||
\(551\) | 3.11550 | + | 2.04909i | 0.132725 | + | 0.0872944i | ||||
\(552\) | 6.93570 | + | 22.3408i | 0.295203 | + | 0.950888i | ||||
\(553\) | −29.7495 | − | 3.47722i | −1.26508 | − | 0.147867i | ||||
\(554\) | 10.4083 | − | 32.4765i | 0.442204 | − | 1.37980i | ||||
\(555\) | −19.0534 | + | 11.2487i | −0.808774 | + | 0.477481i | ||||
\(556\) | 23.2827 | + | 33.9270i | 0.987406 | + | 1.43882i | ||||
\(557\) | 2.49872 | + | 0.909459i | 0.105874 | + | 0.0385350i | 0.394414 | − | 0.918933i | \(-0.370948\pi\) |
−0.288540 | + | 0.957468i | \(0.593170\pi\) | |||||||
\(558\) | 4.17176 | − | 13.9435i | 0.176605 | − | 0.590275i | ||||
\(559\) | −5.29672 | − | 14.5526i | −0.224027 | − | 0.615510i | ||||
\(560\) | −13.0881 | − | 6.88486i | −0.553071 | − | 0.290939i | ||||
\(561\) | 8.06286 | − | 11.0529i | 0.340414 | − | 0.466652i | ||||
\(562\) | 4.79814 | + | 0.654694i | 0.202397 | + | 0.0276166i | ||||
\(563\) | 2.06196 | + | 0.617310i | 0.0869012 | + | 0.0260165i | 0.329959 | − | 0.943995i | \(-0.392965\pi\) |
−0.243057 | + | 0.970012i | \(0.578150\pi\) | |||||||
\(564\) | −32.0800 | − | 22.4486i | −1.35081 | − | 0.945258i | ||||
\(565\) | −11.1849 | + | 8.32686i | −0.470553 | + | 0.350314i | ||||
\(566\) | −11.0656 | + | 12.6833i | −0.465124 | + | 0.533121i | ||||
\(567\) | 1.37257 | − | 17.6758i | 0.0576427 | − | 0.742316i | ||||
\(568\) | −6.18222 | − | 4.06245i | −0.259400 | − | 0.170457i | ||||
\(569\) | −13.9538 | + | 10.3882i | −0.584972 | + | 0.435495i | −0.848529 | − | 0.529148i | \(-0.822512\pi\) |
0.263558 | + | 0.964644i | \(0.415104\pi\) | |||||||
\(570\) | −26.5338 | − | 11.7470i | −1.11138 | − | 0.492029i | ||||
\(571\) | 8.38508 | − | 28.0081i | 0.350905 | − | 1.17210i | −0.582365 | − | 0.812927i | \(-0.697873\pi\) |
0.933270 | − | 0.359176i | \(-0.116942\pi\) | |||||||
\(572\) | 18.4547 | + | 21.1350i | 0.771628 | + | 0.883697i | ||||
\(573\) | 24.9278 | + | 2.66844i | 1.04137 | + | 0.111476i | ||||
\(574\) | 2.23495 | + | 22.9446i | 0.0932852 | + | 0.957688i | ||||
\(575\) | −6.63000 | + | 2.41312i | −0.276490 | + | 0.100634i | ||||
\(576\) | 14.7188 | + | 18.9567i | 0.613282 | + | 0.789864i | ||||
\(577\) | −36.7744 | − | 13.3848i | −1.53094 | − | 0.557216i | −0.567087 | − | 0.823658i | \(-0.691930\pi\) |
−0.963851 | + | 0.266442i | \(0.914152\pi\) | |||||||
\(578\) | −5.30147 | + | 20.5933i | −0.220512 | + | 0.856568i | ||||
\(579\) | 13.0352 | − | 0.126636i | 0.541726 | − | 0.00526279i | ||||
\(580\) | −1.89825 | + | 1.14632i | −0.0788207 | + | 0.0475982i | ||||
\(581\) | −14.8251 | − | 1.73280i | −0.615047 | − | 0.0718887i | ||||
\(582\) | −14.8935 | − | 18.0972i | −0.617355 | − | 0.750155i | ||||
\(583\) | 35.2106 | − | 53.5351i | 1.45827 | − | 2.21720i | ||||
\(584\) | −21.8815 | + | 2.56673i | −0.905461 | + | 0.106212i | ||||
\(585\) | 11.9971 | − | 7.24090i | 0.496020 | − | 0.299375i | ||||
\(586\) | 8.14676 | − | 1.27528i | 0.336540 | − | 0.0526813i | ||||
\(587\) | 7.32447 | − | 2.19280i | 0.302313 | − | 0.0905066i | −0.132054 | − | 0.991243i | \(-0.542157\pi\) |
0.434367 | + | 0.900736i | \(0.356972\pi\) | |||||||
\(588\) | −3.39606 | + | 10.2588i | −0.140051 | + | 0.423066i | ||||
\(589\) | 9.71791 | − | 19.3500i | 0.400420 | − | 0.797301i | ||||
\(590\) | −0.357951 | − | 9.19180i | −0.0147366 | − | 0.378421i | ||||
\(591\) | −3.71745 | + | 8.85352i | −0.152915 | + | 0.364185i | ||||
\(592\) | 26.9777 | + | 3.66969i | 1.10878 | + | 0.150823i | ||||
\(593\) | −34.6584 | − | 20.0100i | −1.42325 | − | 0.821713i | −0.426673 | − | 0.904406i | \(-0.640314\pi\) |
−0.996575 | + | 0.0826934i | \(0.973648\pi\) | |||||||
\(594\) | −11.4872 | + | 39.7981i | −0.471325 | + | 1.63294i | ||||
\(595\) | −2.59033 | − | 4.48658i | −0.106193 | − | 0.183932i | ||||
\(596\) | −11.1057 | − | 43.0660i | −0.454908 | − | 1.76405i | ||||
\(597\) | 16.5820 | + | 0.804246i | 0.678657 | + | 0.0329156i | ||||
\(598\) | −14.8708 | − | 7.83049i | −0.608112 | − | 0.320213i | ||||
\(599\) | −1.62513 | − | 27.9024i | −0.0664011 | − | 1.14006i | −0.852763 | − | 0.522297i | \(-0.825075\pi\) |
0.786362 | − | 0.617766i | \(-0.211962\pi\) | |||||||
\(600\) | −5.49775 | + | 4.70885i | −0.224445 | + | 0.192238i | ||||
\(601\) | −37.0072 | − | 8.77087i | −1.50956 | − | 0.357771i | −0.609232 | − | 0.792992i | \(-0.708522\pi\) |
−0.900324 | + | 0.435221i | \(0.856670\pi\) | |||||||
\(602\) | 13.4915 | − | 10.8850i | 0.549874 | − | 0.443641i | ||||
\(603\) | −7.20430 | − | 4.54032i | −0.293382 | − | 0.184896i | ||||
\(604\) | −3.89771 | − | 12.1446i | −0.158596 | − | 0.494159i | ||||
\(605\) | −2.26710 | + | 38.9245i | −0.0921705 | + | 1.58251i | ||||
\(606\) | −0.241145 | + | 25.2756i | −0.00979584 | + | 1.02675i | ||||
\(607\) | −22.7900 | − | 16.9665i | −0.925016 | − | 0.688649i | 0.0253844 | − | 0.999678i | \(-0.491919\pi\) |
−0.950400 | + | 0.311029i | \(0.899326\pi\) | |||||||
\(608\) | 16.6624 | + | 31.5801i | 0.675750 | + | 1.28074i | ||||
\(609\) | −1.31059 | − | 1.53144i | −0.0531079 | − | 0.0620572i | ||||
\(610\) | −25.7707 | + | 26.2826i | −1.04342 | + | 1.06415i | ||||
\(611\) | 27.7031 | − | 4.88481i | 1.12075 | − | 0.197618i | ||||
\(612\) | 0.816558 | + | 8.36787i | 0.0330074 | + | 0.338251i | ||||
\(613\) | −42.7374 | − | 7.53576i | −1.72615 | − | 0.304366i | −0.779444 | − | 0.626472i | \(-0.784498\pi\) |
−0.946704 | + | 0.322105i | \(0.895610\pi\) | |||||||
\(614\) | 1.25174 | − | 0.894952i | 0.0505162 | − | 0.0361173i | ||||
\(615\) | −25.8437 | − | 7.46432i | −1.04212 | − | 0.300990i | ||||
\(616\) | −15.6924 | + | 27.2060i | −0.632265 | + | 1.09616i | ||||
\(617\) | 7.58460 | + | 32.0019i | 0.305344 | + | 1.28835i | 0.881956 | + | 0.471331i | \(0.156226\pi\) |
−0.576612 | + | 0.817018i | \(0.695626\pi\) | |||||||
\(618\) | −20.1019 | + | 20.9036i | −0.808617 | + | 0.840866i | ||||
\(619\) | 23.6351 | − | 2.76255i | 0.949975 | − | 0.111036i | 0.373030 | − | 0.927819i | \(-0.378319\pi\) |
0.576945 | + | 0.816783i | \(0.304245\pi\) | |||||||
\(620\) | 7.89103 | + | 10.1754i | 0.316911 | + | 0.408654i | ||||
\(621\) | −2.16383 | − | 24.7171i | −0.0868316 | − | 0.991864i | ||||
\(622\) | −0.597966 | − | 1.74684i | −0.0239763 | − | 0.0700418i | ||||
\(623\) | 5.98448 | − | 13.8736i | 0.239763 | − | 0.555833i | ||||
\(624\) | −17.1072 | − | 2.15800i | −0.684837 | − | 0.0863891i | ||||
\(625\) | 10.5879 | + | 11.2225i | 0.423515 | + | 0.448899i | ||||
\(626\) | 3.62307 | − | 1.48077i | 0.144807 | − | 0.0591835i | ||||
\(627\) | −27.1219 | + | 55.3381i | −1.08314 | + | 2.20999i | ||||
\(628\) | −0.513002 | − | 1.12775i | −0.0204710 | − | 0.0450023i | ||||
\(629\) | 7.30636 | + | 6.13077i | 0.291324 | + | 0.244450i | ||||
\(630\) | 12.0176 | + | 10.0804i | 0.478792 | + | 0.401612i | ||||
\(631\) | 18.5664 | + | 22.1266i | 0.739118 | + | 0.880847i | 0.996338 | − | 0.0855060i | \(-0.0272507\pi\) |
−0.257219 | + | 0.966353i | \(0.582806\pi\) | |||||||
\(632\) | −39.4817 | + | 17.0501i | −1.57050 | + | 0.678216i | ||||
\(633\) | 0.0107197 | − | 0.0644497i | 0.000426071 | − | 0.00256165i | ||||
\(634\) | 13.0269 | − | 11.8246i | 0.517366 | − | 0.469614i | ||||
\(635\) | −13.5412 | + | 5.84112i | −0.537368 | + | 0.231798i | ||||
\(636\) | 5.71848 | + | 38.9599i | 0.226752 | + | 1.54486i | ||||
\(637\) | −3.48439 | − | 6.93798i | −0.138056 | − | 0.274893i | ||||
\(638\) | 2.27579 | + | 4.12313i | 0.0900993 | + | 0.163236i | ||||
\(639\) | 5.49429 | + | 5.60148i | 0.217351 | + | 0.221591i | ||||
\(640\) | −21.2169 | + | 0.843787i | −0.838671 | + | 0.0333536i | ||||
\(641\) | 3.70271 | + | 3.49333i | 0.146248 | + | 0.137978i | 0.755889 | − | 0.654700i | \(-0.227205\pi\) |
−0.609641 | + | 0.792678i | \(0.708686\pi\) | |||||||
\(642\) | −12.6095 | − | 13.6234i | −0.497657 | − | 0.537671i | ||||
\(643\) | 8.09479 | − | 5.32402i | 0.319227 | − | 0.209959i | −0.379774 | − | 0.925079i | \(-0.623998\pi\) |
0.699002 | + | 0.715120i | \(0.253628\pi\) | |||||||
\(644\) | 2.90177 | − | 18.5874i | 0.114346 | − | 0.732445i | ||||
\(645\) | 5.98937 | + | 19.3208i | 0.235831 | + | 0.760754i | ||||
\(646\) | −0.967599 | + | 12.4710i | −0.0380697 | + | 0.490666i | ||||
\(647\) | −42.3997 | −1.66690 | −0.833452 | − | 0.552591i | \(-0.813639\pi\) | ||||
−0.833452 | + | 0.552591i | \(0.813639\pi\) | |||||||
\(648\) | −10.9925 | − | 22.9601i | −0.431825 | − | 0.901958i | ||||
\(649\) | −19.5361 | −0.766857 | ||||||||
\(650\) | 0.402296 | − | 5.18505i | 0.0157793 | − | 0.203374i | ||||
\(651\) | −7.94908 | + | 8.59122i | −0.311549 | + | 0.336717i | ||||
\(652\) | −3.38615 | − | 0.528629i | −0.132612 | − | 0.0207027i | ||||
\(653\) | −14.7900 | + | 9.72755i | −0.578778 | + | 0.380669i | −0.804882 | − | 0.593435i | \(-0.797772\pi\) |
0.226104 | + | 0.974103i | \(0.427401\pi\) | |||||||
\(654\) | −15.4001 | + | 3.49507i | −0.602193 | + | 0.136668i | ||||
\(655\) | −21.5378 | − | 20.3199i | −0.841551 | − | 0.793963i | ||||
\(656\) | 19.2624 | + | 26.9182i | 0.752071 | + | 1.05098i | ||||
\(657\) | 23.2582 | + | 2.26142i | 0.907390 | + | 0.0882263i | ||||
\(658\) | 15.2161 | + | 27.5677i | 0.593187 | + | 1.07470i | ||||
\(659\) | 7.63454 | + | 15.2016i | 0.297399 | + | 0.592171i | 0.991856 | − | 0.127364i | \(-0.0406516\pi\) |
−0.694457 | + | 0.719534i | \(0.744355\pi\) | |||||||
\(660\) | −22.7390 | − | 28.7407i | −0.885112 | − | 1.11873i | ||||
\(661\) | −36.4103 | + | 15.7059i | −1.41620 | + | 0.610888i | −0.960256 | − | 0.279122i | \(-0.909957\pi\) |
−0.455941 | + | 0.890010i | \(0.650697\pi\) | |||||||
\(662\) | −23.2994 | + | 21.1489i | −0.905556 | + | 0.821975i | ||||
\(663\) | −4.66476 | − | 3.83760i | −0.181164 | − | 0.149040i | ||||
\(664\) | −19.6749 | + | 8.49655i | −0.763534 | + | 0.329730i | ||||
\(665\) | 15.0003 | + | 17.8766i | 0.581686 | + | 0.693227i | ||||
\(666\) | −27.1378 | − | 9.87201i | −1.05157 | − | 0.382533i | ||||
\(667\) | −2.16096 | − | 1.81326i | −0.0836725 | − | 0.0702096i | ||||
\(668\) | 32.4123 | − | 14.7440i | 1.25407 | − | 0.570462i | ||||
\(669\) | −22.4216 | + | 1.52459i | −0.866868 | + | 0.0589442i | ||||
\(670\) | 6.97411 | − | 2.85036i | 0.269433 | − | 0.110119i | ||||
\(671\) | 53.6461 | + | 56.8616i | 2.07099 | + | 2.19512i | ||||
\(672\) | −3.91635 | − | 18.8994i | −0.151076 | − | 0.729062i | ||||
\(673\) | −1.30309 | + | 3.02090i | −0.0502304 | + | 0.116447i | −0.941483 | − | 0.337059i | \(-0.890568\pi\) |
0.891253 | + | 0.453506i | \(0.149827\pi\) | |||||||
\(674\) | −14.7123 | − | 42.9790i | −0.566696 | − | 1.65549i | ||||
\(675\) | 6.75780 | − | 3.64425i | 0.260108 | − | 0.140267i | ||||
\(676\) | −10.7564 | + | 8.34162i | −0.413710 | + | 0.320831i | ||||
\(677\) | −14.4689 | + | 1.69118i | −0.556087 | + | 0.0649972i | −0.389495 | − | 0.921029i | \(-0.627350\pi\) |
−0.166592 | + | 0.986026i | \(0.553276\pi\) | |||||||
\(678\) | −17.6676 | − | 4.36573i | −0.678519 | − | 0.167665i | ||||
\(679\) | 4.34682 | + | 18.3407i | 0.166816 | + | 0.703851i | ||||
\(680\) | −6.44348 | − | 3.71660i | −0.247096 | − | 0.142525i | ||||
\(681\) | 24.8660 | − | 23.9207i | 0.952868 | − | 0.916643i | ||||
\(682\) | 22.2460 | − | 15.9051i | 0.851843 | − | 0.609038i | ||||
\(683\) | −2.29115 | − | 0.403991i | −0.0876683 | − | 0.0154583i | 0.129642 | − | 0.991561i | \(-0.458617\pi\) |
−0.217310 | + | 0.976103i | \(0.569728\pi\) | |||||||
\(684\) | −10.1677 | − | 36.4818i | −0.388770 | − | 1.39492i | ||||
\(685\) | 6.37793 | − | 1.12460i | 0.243688 | − | 0.0429688i | ||||
\(686\) | 19.7374 | − | 20.1294i | 0.753577 | − | 0.768546i | ||||
\(687\) | 4.64989 | − | 13.1722i | 0.177404 | − | 0.502552i | ||||
\(688\) | 8.95210 | − | 23.2246i | 0.341296 | − | 0.885429i | ||||
\(689\) | −22.6926 | − | 16.8940i | −0.864520 | − | 0.643611i | ||||
\(690\) | 18.9052 | + | 11.1567i | 0.719709 | + | 0.424730i | ||||
\(691\) | −2.27782 | + | 39.1087i | −0.0866524 | + | 1.48776i | 0.622451 | + | 0.782659i | \(0.286137\pi\) |
−0.709103 | + | 0.705105i | \(0.750900\pi\) | |||||||
\(692\) | 10.3745 | − | 3.32961i | 0.394381 | − | 0.126573i | ||||
\(693\) | 22.3853 | − | 24.6701i | 0.850348 | − | 0.937141i | ||||
\(694\) | 28.1092 | − | 22.6787i | 1.06701 | − | 0.860870i | ||||
\(695\) | 37.5722 | + | 8.90478i | 1.42520 | + | 0.337778i | ||||
\(696\) | −2.72951 | − | 0.962271i | −0.103462 | − | 0.0364748i | ||||
\(697\) | 0.674226 | + | 11.5760i | 0.0255381 | + | 0.438472i | ||||
\(698\) | 41.4300 | + | 21.8157i | 1.56815 | + | 0.825737i | ||||
\(699\) | 13.4172 | − | 20.8380i | 0.507485 | − | 0.788166i | ||||
\(700\) | 5.63698 | − | 1.45365i | 0.213058 | − | 0.0549427i | ||||
\(701\) | 20.6381 | + | 35.7462i | 0.779489 | + | 1.35012i | 0.932236 | + | 0.361850i | \(0.117855\pi\) |
−0.152747 | + | 0.988265i | \(0.548812\pi\) | |||||||
\(702\) | 17.2468 | + | 6.08487i | 0.650940 | + | 0.229659i | ||||
\(703\) | −37.2071 | − | 21.4815i | −1.40329 | − | 0.810190i | ||||
\(704\) | 0.0372438 | + | 45.0954i | 0.00140368 | + | 1.69960i | ||||
\(705\) | −36.4511 | + | 4.61988i | −1.37283 | + | 0.173995i | ||||
\(706\) | −0.152599 | − | 3.91859i | −0.00574315 | − | 0.147478i | ||||
\(707\) | 9.12305 | − | 18.1655i | 0.343108 | − | 0.683183i | ||||
\(708\) | 8.96617 | − | 7.98394i | 0.336969 | − | 0.300055i | ||||
\(709\) | 26.0165 | − | 7.78882i | 0.977069 | − | 0.292515i | 0.241826 | − | 0.970320i | \(-0.422254\pi\) |
0.735242 | + | 0.677804i | \(0.237068\pi\) | |||||||
\(710\) | −6.85835 | + | 1.07359i | −0.257389 | + | 0.0402912i | ||||
\(711\) | 44.7594 | − | 8.79215i | 1.67861 | − | 0.329731i | ||||
\(712\) | −2.52745 | − | 21.5466i | −0.0947203 | − | 0.807492i | ||||
\(713\) | −9.00120 | + | 13.6857i | −0.337098 | + | 0.512532i | ||||
\(714\) | 2.37307 | − | 6.33134i | 0.0888097 | − | 0.236944i | ||||
\(715\) | 26.1519 | + | 3.05672i | 0.978025 | + | 0.114315i | ||||
\(716\) | 4.83497 | + | 8.00652i | 0.180691 | + | 0.299218i | ||||
\(717\) | −18.3494 | + | 32.5073i | −0.685271 | + | 1.21401i | ||||
\(718\) | −2.93280 | + | 11.3923i | −0.109451 | + | 0.425158i | ||||
\(719\) | −28.1701 | − | 10.2531i | −1.05057 | − | 0.382375i | −0.241690 | − | 0.970353i | \(-0.577702\pi\) |
−0.808877 | + | 0.587978i | \(0.799924\pi\) | |||||||
\(720\) | 22.1818 | + | 3.89783i | 0.826668 | + | 0.145264i | ||||
\(721\) | 21.9161 | − | 7.97681i | 0.816198 | − | 0.297072i | ||||
\(722\) | −2.85751 | − | 29.3358i | −0.106345 | − | 1.09177i | ||||
\(723\) | −6.79910 | − | 15.3503i | −0.252861 | − | 0.570885i | ||||
\(724\) | 5.55234 | − | 4.84821i | 0.206351 | − | 0.180182i | ||||
\(725\) | 0.250355 | − | 0.836244i | 0.00929795 | − | 0.0310573i | ||||
\(726\) | −41.1064 | + | 29.9973i | −1.52560 | + | 1.11331i | ||||
\(727\) | 9.33463 | − | 6.94937i | 0.346202 | − | 0.257738i | −0.409986 | − | 0.912092i | \(-0.634467\pi\) |
0.756189 | + | 0.654354i | \(0.227059\pi\) | |||||||
\(728\) | 11.5887 | + | 7.61513i | 0.429505 | + | 0.282236i | ||||
\(729\) | 6.22951 | + | 26.2715i | 0.230723 | + | 0.973020i | ||||
\(730\) | −13.5917 | + | 15.5787i | −0.503053 | + | 0.576595i | ||||
\(731\) | 6.99408 | − | 5.20690i | 0.258686 | − | 0.192584i | ||||
\(732\) | −47.8592 | − | 4.17298i | −1.76893 | − | 0.154238i | ||||
\(733\) | 32.9654 | + | 9.86918i | 1.21760 | + | 0.364527i | 0.830243 | − | 0.557402i | \(-0.188202\pi\) |
0.387360 | + | 0.921928i | \(0.373387\pi\) | |||||||
\(734\) | −42.9580 | − | 5.86152i | −1.58561 | − | 0.216353i | ||||
\(735\) | 4.10679 | + | 9.27189i | 0.151481 | + | 0.341999i | ||||
\(736\) | −9.74628 | − | 25.1919i | −0.359253 | − | 0.928585i | ||||
\(737\) | −5.47256 | − | 15.0357i | −0.201584 | − | 0.553849i | ||||
\(738\) | −13.9113 | − | 32.2345i | −0.512081 | − | 1.18657i | ||||
\(739\) | 41.3232 | + | 15.0404i | 1.52010 | + | 0.553270i | 0.961172 | − | 0.275948i | \(-0.0889919\pi\) |
0.558925 | + | 0.829218i | \(0.311214\pi\) | |||||||
\(740\) | 21.0657 | − | 14.4565i | 0.774391 | − | 0.531433i | ||||
\(741\) | 23.6950 | + | 13.3751i | 0.870457 | + | 0.491346i | ||||
\(742\) | 9.66477 | − | 30.1567i | 0.354805 | − | 1.10709i | ||||
\(743\) | −29.6571 | − | 3.46642i | −1.08801 | − | 0.127171i | −0.446875 | − | 0.894596i | \(-0.647463\pi\) |
−0.641138 | + | 0.767426i | \(0.721537\pi\) | |||||||
\(744\) | −3.70986 | + | 16.3911i | −0.136010 | + | 0.600929i | ||||
\(745\) | −34.8695 | − | 22.9340i | −1.27752 | − | 0.840237i | ||||
\(746\) | −23.9051 | − | 0.460348i | −0.875229 | − | 0.0168545i | ||||
\(747\) | 22.3049 | − | 4.38138i | 0.816093 | − | 0.160306i | ||||
\(748\) | −8.41972 | + | 13.3670i | −0.307855 | + | 0.488744i | ||||
\(749\) | 4.28160 | + | 14.3015i | 0.156446 | + | 0.522567i | ||||
\(750\) | −3.73914 | + | 29.5432i | −0.136534 | + | 1.07877i | ||||
\(751\) | 10.1454 | − | 20.2012i | 0.370211 | − | 0.737151i | −0.628978 | − | 0.777423i | \(-0.716526\pi\) |
0.999189 | + | 0.0402726i | \(0.0128226\pi\) | |||||||
\(752\) | 38.7215 | + | 23.3395i | 1.41203 | + | 0.851104i | ||||
\(753\) | −4.01641 | − | 31.6897i | −0.146366 | − | 1.15484i | ||||
\(754\) | 1.87577 | − | 0.897246i | 0.0683114 | − | 0.0326758i | ||||
\(755\) | −10.3656 | − | 5.98457i | −0.377242 | − | 0.217801i | ||||
\(756\) | −0.191738 | + | 20.4709i | −0.00697345 | + | 0.744518i | ||||
\(757\) | −4.72146 | + | 2.72594i | −0.171605 | + | 0.0990759i | −0.583342 | − | 0.812226i | \(-0.698255\pi\) |
0.411738 | + | 0.911302i | \(0.364922\pi\) | |||||||
\(758\) | −13.4464 | + | 19.6111i | −0.488395 | + | 0.712308i | ||||
\(759\) | 25.2388 | − | 39.1978i | 0.916109 | − | 1.42279i | ||||
\(760\) | 31.4909 | + | 11.4470i | 1.14230 | + | 0.415227i | ||||
\(761\) | 53.6567 | − | 3.12515i | 1.94505 | − | 0.113286i | 0.959398 | − | 0.282056i | \(-0.0910163\pi\) |
0.985656 | + | 0.168769i | \(0.0539793\pi\) | |||||||
\(762\) | −17.1168 | − | 8.80186i | −0.620076 | − | 0.318858i | ||||
\(763\) | 12.3575 | + | 2.92878i | 0.447372 | + | 0.106029i | ||||
\(764\) | −28.9271 | − | 1.11453i | −1.04655 | − | 0.0403222i | ||||
\(765\) | 5.84290 | + | 5.30176i | 0.211250 | + | 0.191685i | ||||
\(766\) | −0.533721 | − | 0.322002i | −0.0192841 | − | 0.0116344i | ||||
\(767\) | −0.501526 | + | 8.61087i | −0.0181090 | + | 0.310920i | ||||
\(768\) | −18.4465 | − | 20.6815i | −0.665632 | − | 0.746280i | ||||
\(769\) | 26.6256 | − | 35.7644i | 0.960144 | − | 1.28970i | 0.00302733 | − | 0.999995i | \(-0.499036\pi\) |
0.957117 | − | 0.289702i | \(-0.0935562\pi\) | |||||||
\(770\) | 6.24345 | + | 28.8038i | 0.224998 | + | 1.03802i | ||||
\(771\) | 6.43479 | − | 18.2285i | 0.231743 | − | 0.656483i | ||||
\(772\) | −15.0069 | + | 1.17059i | −0.540111 | + | 0.0421303i | ||||
\(773\) | −0.0534957 | − | 0.303389i | −0.00192411 | − | 0.0109122i | 0.983831 | − | 0.179102i | \(-0.0573191\pi\) |
−0.985755 | + | 0.168189i | \(0.946208\pi\) | |||||||
\(774\) | −14.5032 | + | 22.0594i | −0.521307 | + | 0.792910i | ||||
\(775\) | −4.99180 | − | 0.880189i | −0.179311 | − | 0.0316173i | ||||
\(776\) | 18.5803 | + | 19.6776i | 0.666992 | + | 0.706386i | ||||
\(777\) | 16.1003 | + | 16.7366i | 0.577596 | + | 0.600423i | ||||
\(778\) | 8.83708 | + | 6.84730i | 0.316825 | + | 0.245488i | ||||
\(779\) | −12.0457 | − | 50.8247i | −0.431581 | − | 1.82098i | ||||
\(780\) | −13.2517 | + | 9.28477i | −0.474489 | + | 0.332448i | ||||
\(781\) | 1.71155 | + | 14.6432i | 0.0612440 | + | 0.523976i | ||||
\(782\) | 1.82228 | − | 9.28548i | 0.0651646 | − | 0.332048i | ||||
\(783\) | 2.61279 | + | 1.61139i | 0.0933734 | + | 0.0575865i | ||||
\(784\) | 3.10589 | − | 12.0853i | 0.110925 | − | 0.431619i | ||||
\(785\) | −1.06755 | − | 0.460497i | −0.0381026 | − | 0.0164359i | ||||
\(786\) | 2.61500 | − | 38.5570i | 0.0932739 | − | 1.37528i | ||||
\(787\) | 0.206332 | + | 0.218699i | 0.00735494 | + | 0.00779578i | 0.731041 | − | 0.682334i | \(-0.239035\pi\) |
−0.723686 | + | 0.690130i | \(0.757553\pi\) | |||||||
\(788\) | 3.58661 | − | 10.4917i | 0.127768 | − | 0.373751i | ||||
\(789\) | −1.93218 | − | 28.4158i | −0.0687874 | − | 1.01163i | ||||
\(790\) | −16.6951 | + | 36.7418i | −0.593985 | + | 1.30721i | ||||
\(791\) | 11.2116 | + | 9.40767i | 0.398639 | + | 0.334498i | ||||
\(792\) | 10.1050 | − | 46.7513i | 0.359064 | − | 1.66123i | ||||
\(793\) | 26.4399 | − | 22.1857i | 0.938910 | − | 0.787839i | ||||
\(794\) | 3.40793 | + | 12.2360i | 0.120943 | + | 0.434238i | ||||
\(795\) | 28.5362 | + | 23.4761i | 1.01207 | + | 0.832612i | ||||
\(796\) | −19.1661 | + | 0.377004i | −0.679323 | + | 0.0133625i | ||||
\(797\) | −3.90090 | − | 9.04330i | −0.138177 | − | 0.320330i | 0.835051 | − | 0.550173i | \(-0.185438\pi\) |
−0.973228 | + | 0.229843i | \(0.926179\pi\) | |||||||
\(798\) | −5.57472 | + | 29.9425i | −0.197343 | + | 1.05995i | ||||
\(799\) | 7.10827 | + | 14.1537i | 0.251472 | + | 0.500723i | ||||
\(800\) | 5.96336 | − | 5.85688i | 0.210837 | − | 0.207072i | ||||
\(801\) | −2.22681 | + | 22.9023i | −0.0786804 | + | 0.809212i | ||||
\(802\) | 6.74113 | + | 2.60162i | 0.238038 | + | 0.0918665i | ||||
\(803\) | 31.9373 | + | 30.1313i | 1.12704 | + | 1.06331i | ||||
\(804\) | 8.65642 | + | 4.66422i | 0.305288 | + | 0.164494i | ||||
\(805\) | −9.70089 | − | 14.7495i | −0.341911 | − | 0.519851i | ||||
\(806\) | −6.43936 | − | 10.2136i | −0.226817 | − | 0.359760i | ||||
\(807\) | 6.87914 | − | 7.43485i | 0.242157 | − | 0.261719i | ||||
\(808\) | −1.70911 | − | 29.1369i | −0.0601262 | − | 1.02503i | ||||
\(809\) | 15.2879i | 0.537493i | 0.963211 | + | 0.268747i | \(0.0866095\pi\) | ||||
−0.963211 | + | 0.268747i | \(0.913391\pi\) | |||||||
\(810\) | −22.1155 | − | 9.02973i | −0.777059 | − | 0.317272i | ||||
\(811\) | −39.4559 | −1.38548 | −0.692742 | − | 0.721185i | \(-0.743598\pi\) | ||||
−0.692742 | + | 0.721185i | \(0.743598\pi\) | |||||||
\(812\) | 1.63022 | + | 1.66123i | 0.0572095 | + | 0.0582977i | ||||
\(813\) | 3.05770 | − | 0.947876i | 0.107238 | − | 0.0332435i | ||||
\(814\) | −28.9382 | − | 45.8995i | −1.01428 | − | 1.60878i | ||||
\(815\) | −2.68698 | + | 1.76726i | −0.0941209 | + | 0.0619043i | ||||
\(816\) | −1.59849 | − | 9.57578i | −0.0559584 | − | 0.335219i | ||||
\(817\) | −26.9534 | + | 28.5690i | −0.942982 | + | 0.999502i | ||||
\(818\) | 6.49545 | − | 16.8305i | 0.227108 | − | 0.588466i | ||||
\(819\) | −10.2991 | − | 10.5001i | −0.359881 | − | 0.366902i | ||||
\(820\) | 30.3593 | + | 6.56748i | 1.06019 | + | 0.229346i | ||||
\(821\) | −49.5385 | + | 24.8792i | −1.72891 | + | 0.868289i | −0.750701 | + | 0.660642i | \(0.770284\pi\) |
−0.978204 | + | 0.207647i | \(0.933420\pi\) | |||||||
\(822\) | 6.42285 | + | 5.49467i | 0.224023 | + | 0.191649i | ||||
\(823\) | 49.0598 | − | 21.1623i | 1.71012 | − | 0.737672i | 0.710701 | − | 0.703494i | \(-0.248378\pi\) |
0.999416 | − | 0.0341781i | \(-0.0108813\pi\) | |||||||
\(824\) | 21.5146 | − | 25.6616i | 0.749496 | − | 0.893964i | ||||
\(825\) | 14.2309 | + | 2.36698i | 0.495455 | + | 0.0824076i | ||||
\(826\) | −9.30100 | + | 2.59049i | −0.323623 | + | 0.0901347i | ||||
\(827\) | −23.0458 | − | 27.4649i | −0.801380 | − | 0.955048i | 0.198305 | − | 0.980140i | \(-0.436456\pi\) |
−0.999685 | + | 0.0250926i | \(0.992012\pi\) | |||||||
\(828\) | 4.43579 | + | 28.3046i | 0.154155 | + | 0.983651i | ||||
\(829\) | 21.7421 | − | 25.9112i | 0.755134 | − | 0.899934i | −0.242395 | − | 0.970178i | \(-0.577933\pi\) |
0.997530 | + | 0.0702434i | \(0.0223776\pi\) | |||||||
\(830\) | −8.31965 | + | 18.3095i | −0.288779 | + | 0.635532i | ||||
\(831\) | 18.3821 | − | 37.5058i | 0.637667 | − | 1.30106i | ||||
\(832\) | 19.8775 | + | 1.14126i | 0.689130 | + | 0.0395662i | ||||
\(833\) | 3.17955 | − | 2.99975i | 0.110165 | − | 0.103935i | ||||
\(834\) | 22.1867 | + | 45.2486i | 0.768262 | + | 1.56683i | ||||
\(835\) | 13.2350 | − | 30.6821i | 0.458015 | − | 1.06180i | ||||
\(836\) | 26.8949 | − | 65.8827i | 0.930179 | − | 2.27860i | ||||
\(837\) | 7.53236 | − | 16.1555i | 0.260356 | − | 0.558416i | ||||
\(838\) | 9.95008 | − | 50.7009i | 0.343720 | − | 1.75143i | ||||
\(839\) | 18.7370 | − | 2.19004i | 0.646874 | − | 0.0756087i | 0.213672 | − | 0.976906i | \(-0.431458\pi\) |
0.433202 | + | 0.901297i | \(0.357384\pi\) | |||||||
\(840\) | −14.6369 | − | 10.6681i | −0.505022 | − | 0.368085i | ||||
\(841\) | −27.8787 | + | 6.60737i | −0.961334 | + | 0.227840i | ||||
\(842\) | −21.8641 | + | 28.2176i | −0.753486 | + | 0.972443i | ||||
\(843\) | 5.69804 | + | 1.64574i | 0.196251 | + | 0.0566822i | ||||
\(844\) | −0.00728298 | + | 0.0750901i | −0.000250691 | + | 0.00258471i | ||||
\(845\) | −2.21809 | + | 12.5794i | −0.0763046 | + | 0.432745i | ||||
\(846\) | −34.8863 | − | 32.9021i | −1.19942 | − | 1.13120i | ||||
\(847\) | 40.3026 | − | 7.10644i | 1.38481 | − | 0.244180i | ||||
\(848\) | −9.65045 | − | 44.4332i | −0.331398 | − | 1.52584i | ||||
\(849\) | −15.6624 | + | 13.4038i | −0.537534 | + | 0.460016i | ||||
\(850\) | 2.86168 | − | 0.620291i | 0.0981547 | − | 0.0212758i | ||||
\(851\) | 26.0700 | + | 19.4084i | 0.893667 | + | 0.665310i | ||||
\(852\) | −6.76987 | − | 6.02111i | −0.231932 | − | 0.206280i | ||||
\(853\) | −11.3175 | − | 0.659172i | −0.387505 | − | 0.0225696i | −0.136713 | − | 0.990611i | \(-0.543654\pi\) |
−0.250792 | + | 0.968041i | \(0.580691\pi\) | |||||||
\(854\) | 33.0805 | + | 19.9580i | 1.13199 | + | 0.682947i | ||||
\(855\) | −30.0666 | − | 18.9487i | −1.02825 | − | 0.648031i | ||||
\(856\) | 15.5974 | + | 14.7032i | 0.533107 | + | 0.502544i | ||||
\(857\) | 6.40712 | − | 27.0338i | 0.218863 | − | 0.923456i | −0.747087 | − | 0.664727i | \(-0.768548\pi\) |
0.965950 | − | 0.258730i | \(-0.0833039\pi\) | |||||||
\(858\) | 18.6086 | + | 28.8896i | 0.635288 | + | 0.986276i | ||||
\(859\) | −2.87853 | − | 49.4224i | −0.0982140 | − | 1.68627i | −0.583656 | − | 0.812001i | \(-0.698378\pi\) |
0.485442 | − | 0.874269i | \(-0.338659\pi\) | |||||||
\(860\) | −8.41869 | − | 21.7871i | −0.287075 | − | 0.742934i | ||||
\(861\) | −1.36778 | + | 28.2011i | −0.0466139 | + | 0.961091i | ||||
\(862\) | 7.99357 | − | 11.6584i | 0.272262 | − | 0.397085i | ||||
\(863\) | −14.3091 | − | 24.7841i | −0.487088 | − | 0.843661i | 0.512802 | − | 0.858507i | \(-0.328608\pi\) |
−0.999890 | + | 0.0148460i | \(0.995274\pi\) | |||||||
\(864\) | 14.4684 | + | 25.5864i | 0.492226 | + | 0.870467i | ||||
\(865\) | 5.11231 | − | 8.85478i | 0.173824 | − | 0.301072i | ||||
\(866\) | 1.76862 | + | 3.69745i | 0.0601002 | + | 0.125644i | ||||
\(867\) | −10.0827 | + | 24.0130i | −0.342425 | + | 0.815524i | ||||
\(868\) | 8.48216 | − | 10.5222i | 0.287903 | − | 0.357145i | ||||
\(869\) | 76.5922 | + | 38.4661i | 2.59821 | + | 1.30487i | ||||
\(870\) | −2.50393 | + | 1.05187i | −0.0848912 | + | 0.0356618i | ||||
\(871\) | −6.76776 | + | 2.02613i | −0.229317 | + | 0.0686529i | ||||
\(872\) | 17.4665 | − | 5.23700i | 0.591492 | − | 0.177347i | ||||
\(873\) | −14.8329 | − | 24.5759i | −0.502016 | − | 0.831769i | ||||
\(874\) | −0.820677 | + | 42.6165i | −0.0277598 | + | 1.44152i | ||||
\(875\) | 13.1599 | − | 20.0086i | 0.444884 | − | 0.676414i | ||||
\(876\) | −26.9718 | − | 0.776873i | −0.911291 | − | 0.0262481i | ||||
\(877\) | 2.68489 | − | 22.9707i | 0.0906623 | − | 0.775666i | −0.869058 | − | 0.494710i | \(-0.835274\pi\) |
0.959721 | − | 0.280956i | \(-0.0906515\pi\) | |||||||
\(878\) | −8.41843 | + | 26.2678i | −0.284108 | + | 0.886494i | ||||
\(879\) | 10.0987 | − | 0.0981078i | 0.340622 | − | 0.00330909i | ||||
\(880\) | 28.4551 | + | 31.3225i | 0.959220 | + | 1.05588i | ||||
\(881\) | 2.95815 | − | 8.12744i | 0.0996625 | − | 0.273820i | −0.879834 | − | 0.475281i | \(-0.842346\pi\) |
0.979497 | + | 0.201460i | \(0.0645687\pi\) | |||||||
\(882\) | −5.93779 | + | 11.8282i | −0.199936 | + | 0.398278i | ||||
\(883\) | −45.6993 | + | 16.6332i | −1.53790 | + | 0.559752i | −0.965542 | − | 0.260249i | \(-0.916195\pi\) |
−0.572363 | + | 0.820000i | \(0.693973\pi\) | |||||||
\(884\) | 5.67557 | + | 4.05430i | 0.190890 | + | 0.136361i | ||||
\(885\) | 1.19915 | − | 11.2021i | 0.0403091 | − | 0.376556i | ||||
\(886\) | 45.5985 | + | 6.22181i | 1.53191 | + | 0.209026i | ||||
\(887\) | −6.71119 | + | 22.4169i | −0.225340 | + | 0.752687i | 0.768301 | + | 0.640089i | \(0.221103\pi\) |
−0.993641 | + | 0.112598i | \(0.964083\pi\) | |||||||
\(888\) | 32.0394 | + | 9.23947i | 1.07517 | + | 0.310056i | ||||
\(889\) | 9.24328 | + | 12.4159i | 0.310010 | + | 0.416415i | ||||
\(890\) | −15.3403 | − | 13.3837i | −0.514208 | − | 0.448623i | ||||
\(891\) | −20.9902 | + | 46.1863i | −0.703198 | + | 1.54730i | ||||
\(892\) | 25.7103 | − | 3.51892i | 0.860844 | − | 0.117822i | ||||
\(893\) | −42.6038 | − | 57.2269i | −1.42568 | − | 1.91502i | ||||
\(894\) | −5.80720 | − | 54.1600i | −0.194222 | − | 1.81138i | ||||
\(895\) | 8.40830 | + | 2.51728i | 0.281059 | + | 0.0841434i | ||||
\(896\) | 5.99740 | + | 21.4647i | 0.200359 | + | 0.717085i | ||||
\(897\) | −16.6292 | − | 12.1307i | −0.555234 | − | 0.405033i | ||||
\(898\) | 4.91885 | − | 0.479129i | 0.164144 | − | 0.0159888i | ||||
\(899\) | −0.693141 | − | 1.90439i | −0.0231176 | − | 0.0635150i | ||||
\(900\) | −7.49865 | + | 4.72948i | −0.249955 | + | 0.157649i | ||||
\(901\) | 5.44791 | − | 14.9680i | 0.181496 | − | 0.498656i | ||||
\(902\) | 16.4462 | − | 63.8844i | 0.547598 | − | 2.12712i | ||||
\(903\) | 18.2827 | − | 10.7936i | 0.608409 | − | 0.359190i | ||||
\(904\) | 20.6966 | + | 3.64056i | 0.688360 | + | 0.121083i | ||||
\(905\) | 0.803027 | − | 6.87033i | 0.0266935 | − | 0.228378i | ||||
\(906\) | −2.56573 | − | 15.4092i | −0.0852407 | − | 0.511937i | ||||
\(907\) | 22.1823 | + | 14.5895i | 0.736550 | + | 0.484437i | 0.861520 | − | 0.507724i | \(-0.169513\pi\) |
−0.124969 | + | 0.992161i | \(0.539883\pi\) | |||||||
\(908\) | −26.7658 | + | 29.5119i | −0.888254 | + | 0.979386i | ||||
\(909\) | −4.78240 | + | 30.5859i | −0.158622 | + | 1.01447i | ||||
\(910\) | 12.8561 | − | 2.01247i | 0.426175 | − | 0.0667126i | ||||
\(911\) | 5.03705 | + | 16.8249i | 0.166885 | + | 0.557434i | 0.999991 | + | 0.00432071i | \(0.00137533\pi\) |
−0.833106 | + | 0.553114i | \(0.813439\pi\) | |||||||
\(912\) | 14.5812 | + | 41.2285i | 0.482832 | + | 1.36521i | ||||
\(913\) | 38.1681 | + | 19.1687i | 1.26318 | + | 0.634393i | ||||
\(914\) | −7.65637 | + | 0.298157i | −0.253250 | + | 0.00986217i | ||||
\(915\) | −35.8978 | + | 27.2709i | −1.18674 | + | 0.901548i | ||||
\(916\) | −4.32131 | + | 15.5402i | −0.142780 | + | 0.513463i | ||||
\(917\) | −15.5395 | + | 26.9152i | −0.513159 | + | 0.888818i | ||||
\(918\) | −0.497046 | + | 10.2852i | −0.0164050 | + | 0.339462i | ||||
\(919\) | −33.9468 | + | 19.5992i | −1.11980 | + | 0.646519i | −0.941351 | − | 0.337430i | \(-0.890442\pi\) |
−0.178452 | + | 0.983949i | \(0.557109\pi\) | |||||||
\(920\) | −22.6562 | − | 11.3667i | −0.746954 | − | 0.374748i | ||||
\(921\) | 1.67584 | − | 0.862125i | 0.0552208 | − | 0.0284080i | ||||
\(922\) | −1.42005 | + | 2.69679i | −0.0467667 | + | 0.0888141i | ||||
\(923\) | 6.49820 | − | 0.378477i | 0.213891 | − | 0.0124577i | ||||
\(924\) | −23.8490 | + | 30.1802i | −0.784576 | + | 0.992857i | ||||
\(925\) | −2.31936 | + | 9.78616i | −0.0762602 | + | 0.321767i | ||||
\(926\) | 29.8721 | − | 24.1010i | 0.981659 | − | 0.792008i | ||||
\(927\) | −28.0728 | + | 21.7597i | −0.922032 | + | 0.714683i | ||||
\(928\) | 3.22010 | + | 0.893989i | 0.105705 | + | 0.0293466i | ||||
\(929\) | −26.4929 | − | 1.54304i | −0.869205 | − | 0.0506254i | −0.382257 | − | 0.924056i | \(-0.624853\pi\) |
−0.486948 | + | 0.873431i | \(0.661890\pi\) | |||||||
\(930\) | 7.75463 | + | 13.7323i | 0.254284 | + | 0.450301i | ||||
\(931\) | −11.7583 | + | 15.7942i | −0.385364 | + | 0.517633i | ||||
\(932\) | −13.8188 | + | 25.0606i | −0.452651 | + | 0.820886i | ||||
\(933\) | −0.414287 | − | 2.22303i | −0.0135631 | − | 0.0727788i | ||||
\(934\) | −5.74699 | + | 5.86115i | −0.188047 | + | 0.191783i | ||||
\(935\) | 2.57427 | + | 14.5994i | 0.0841876 | + | 0.477452i | ||||
\(936\) | −20.3470 | − | 5.65413i | −0.665064 | − | 0.184811i | ||||
\(937\) | 0.581780 | − | 3.29944i | 0.0190059 | − | 0.107788i | −0.973829 | − | 0.227282i | \(-0.927016\pi\) |
0.992835 | + | 0.119494i | \(0.0381272\pi\) | |||||||
\(938\) | −4.59920 | − | 6.43276i | −0.150169 | − | 0.210037i | ||||
\(939\) | 4.65347 | − | 1.15075i | 0.151860 | − | 0.0375533i | ||||
\(940\) | 41.6292 | − | 8.18762i | 1.35780 | − | 0.267051i | ||||
\(941\) | 58.4359 | − | 13.8496i | 1.90495 | − | 0.451483i | 0.905312 | − | 0.424746i | \(-0.139637\pi\) |
0.999643 | − | 0.0267362i | \(-0.00851140\pi\) | |||||||
\(942\) | −0.421307 | − | 1.45774i | −0.0137269 | − | 0.0474957i | ||||
\(943\) | 4.58724 | + | 39.2464i | 0.149381 | + | 1.27804i | ||||
\(944\) | −9.70161 | + | 9.90250i | −0.315760 | + | 0.322299i | ||||
\(945\) | 12.7720 | + | 14.3502i | 0.415474 | + | 0.466813i | ||||
\(946\) | −46.9314 | + | 16.0653i | −1.52587 | + | 0.522327i | ||||
\(947\) | −54.3004 | − | 23.4229i | −1.76453 | − | 0.761143i | −0.992012 | − | 0.126147i | \(-0.959739\pi\) |
−0.772516 | − | 0.634996i | \(-0.781002\pi\) | |||||||
\(948\) | −50.8726 | + | 13.6473i | −1.65226 | + | 0.443243i | ||||
\(949\) | 14.1008 | − | 13.3034i | 0.457731 | − | 0.431847i | ||||
\(950\) | −12.2094 | + | 4.99006i | −0.396126 | + | 0.161899i | ||||
\(951\) | 17.8866 | − | 12.0147i | 0.580012 | − | 0.389604i | ||||
\(952\) | −2.23612 | + | 7.48039i | −0.0724729 | + | 0.242441i | ||||
\(953\) | −12.9134 | + | 15.3896i | −0.418306 | + | 0.498518i | −0.933511 | − | 0.358549i | \(-0.883271\pi\) |
0.515205 | + | 0.857067i | \(0.327716\pi\) | |||||||
\(954\) | 0.00840183 | + | 48.2273i | 0.000272019 | + | 1.56141i | ||||
\(955\) | −20.8100 | + | 17.4616i | −0.673394 | + | 0.565045i | ||||
\(956\) | 18.5835 | − | 38.8916i | 0.601033 | − | 1.25784i | ||||
\(957\) | 2.02531 | + | 5.40067i | 0.0654690 | + | 0.174579i | ||||
\(958\) | −41.1056 | + | 37.3117i | −1.32806 | + | 1.20549i | ||||
\(959\) | −2.69237 | − | 6.24161i | −0.0869411 | − | 0.201552i | ||||
\(960\) | −25.8604 | − | 2.74667i | −0.834640 | − | 0.0886484i | ||||
\(961\) | 17.1863 | − | 8.63129i | 0.554397 | − | 0.278429i | ||||
\(962\) | −20.9739 | + | 11.5767i | −0.676227 | + | 0.373248i | ||||
\(963\) | −12.8599 | − | 18.7488i | −0.414405 | − | 0.604170i | ||||
\(964\) | 9.03940 | + | 17.1494i | 0.291139 | + | 0.552346i | ||||
\(965\) | −9.69340 | + | 10.2744i | −0.312041 | + | 0.330745i | ||||
\(966\) | 6.81837 | − | 22.0085i | 0.219378 | − | 0.708113i | ||||
\(967\) | −19.8632 | − | 30.2005i | −0.638757 | − | 0.971183i | −0.999261 | − | 0.0384255i | \(-0.987766\pi\) |
0.360504 | − | 0.932758i | \(-0.382605\pi\) | |||||||
\(968\) | 44.9974 | − | 37.7890i | 1.44627 | − | 1.21458i | ||||
\(969\) | −3.38800 | + | 14.9404i | −0.108838 | + | 0.479955i | ||||
\(970\) | 25.3204 | + | 1.96455i | 0.812990 | + | 0.0630780i | ||||
\(971\) | 46.6242i | 1.49624i | 0.663563 | + | 0.748121i | \(0.269044\pi\) | ||||
−0.663563 | + | 0.748121i | \(0.730956\pi\) | |||||||
\(972\) | −9.24173 | − | 29.7757i | −0.296429 | − | 0.955055i | ||||
\(973\) | − | 40.5282i | − | 1.29927i | ||||||
\(974\) | −1.65106 | + | 21.2800i | −0.0529034 | + | 0.681854i | ||||
\(975\) | 1.40862 | − | 6.21174i | 0.0451119 | − | 0.198935i | ||||
\(976\) | 55.4628 | + | 1.04515i | 1.77532 | + | 0.0334545i | ||||
\(977\) | 4.94188 | + | 7.51376i | 0.158105 | + | 0.240386i | 0.905849 | − | 0.423600i | \(-0.139234\pi\) |
−0.747745 | + | 0.663986i | \(0.768863\pi\) | |||||||
\(978\) | −4.00940 | − | 1.24213i | −0.128206 | − | 0.0397191i | ||||
\(979\) | −29.6701 | + | 31.4485i | −0.948262 | + | 1.00510i | ||||
\(980\) | −5.45997 | − | 10.3586i | −0.174412 | − | 0.330893i | ||||
\(981\) | −19.2827 | + | 1.49948i | −0.615648 | + | 0.0478746i | ||||
\(982\) | −5.39796 | − | 9.77969i | −0.172256 | − | 0.312083i | ||||
\(983\) | 13.9184 | − | 6.99011i | 0.443929 | − | 0.222950i | −0.212770 | − | 0.977102i | \(-0.568248\pi\) |
0.656699 | + | 0.754153i | \(0.271952\pi\) | |||||||
\(984\) | 18.5600 | + | 36.0413i | 0.591672 | + | 1.14895i | ||||
\(985\) | −4.12114 | − | 9.55388i | −0.131310 | − | 0.304412i | ||||
\(986\) | 0.786856 | + | 0.866865i | 0.0250586 | + | 0.0276066i | ||||
\(987\) | 13.5414 | + | 36.1094i | 0.431029 | + | 1.14938i | ||||
\(988\) | −28.3485 | − | 13.5457i | −0.901887 | − | 0.430947i | ||||
\(989\) | 22.7612 | − | 19.0989i | 0.723765 | − | 0.607311i | ||||
\(990\) | −22.4491 | − | 38.8674i | −0.713480 | − | 1.23529i | ||||
\(991\) | −25.7131 | + | 30.6437i | −0.816804 | + | 0.973429i | −0.999953 | − | 0.00965579i | \(-0.996926\pi\) |
0.183149 | + | 0.983085i | \(0.441371\pi\) | |||||||
\(992\) | 2.98533 | − | 19.1746i | 0.0947844 | − | 0.608794i | ||||
\(993\) | −31.9911 | + | 21.4890i | −1.01521 | + | 0.681932i | ||||
\(994\) | 2.75656 | + | 6.74460i | 0.0874327 | + | 0.213926i | ||||
\(995\) | −13.0847 | + | 12.3448i | −0.414814 | + | 0.391356i | ||||
\(996\) | −25.3513 | + | 6.80083i | −0.803286 | + | 0.215493i | ||||
\(997\) | 9.85782 | + | 4.25225i | 0.312200 | + | 0.134670i | 0.546414 | − | 0.837515i | \(-0.315992\pi\) |
−0.234214 | + | 0.972185i | \(0.575252\pi\) | |||||||
\(998\) | 7.07215 | + | 20.6598i | 0.223865 | + | 0.653976i | ||||
\(999\) | −31.1317 | − | 16.7838i | −0.984962 | − | 0.531017i |
(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 | 648.2.bb.b.155.4 | ✓ | 1872 | |
8.3 | odd | 2 | inner | 648.2.bb.b.155.45 | yes | 1872 | |
81.23 | odd | 54 | inner | 648.2.bb.b.347.45 | yes | 1872 | |
648.347 | even | 54 | inner | 648.2.bb.b.347.4 | yes | 1872 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bb.b.155.4 | ✓ | 1872 | 1.1 | even | 1 | trivial | |
648.2.bb.b.155.45 | yes | 1872 | 8.3 | odd | 2 | inner | |
648.2.bb.b.347.4 | yes | 1872 | 648.347 | even | 54 | inner | |
648.2.bb.b.347.45 | yes | 1872 | 81.23 | odd | 54 | inner |