Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [129,2,Mod(5,129)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(129, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 25]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("129.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 129 = 3 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 129.n (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.03007018607\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 98.12 | ||
Character | \(\chi\) | \(=\) | 129.98 |
Dual form | 129.2.n.b.104.12 |
$q$-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 \(\left(\mathbb{Z}/129\mathbb{Z}\right)^\times\).
\(n\) | \(44\) | \(46\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.40321 | − | 1.15733i | 1.69933 | − | 0.818353i | 0.705338 | − | 0.708871i | \(-0.250795\pi\) |
0.993989 | − | 0.109482i | \(-0.0349191\pi\) | |||||||
\(3\) | −1.69662 | − | 0.348562i | −0.979541 | − | 0.201243i | ||||
\(4\) | 3.18904 | − | 3.99893i | 1.59452 | − | 1.99947i | ||||
\(5\) | 1.17790 | + | 1.09293i | 0.526774 | + | 0.488774i | 0.898139 | − | 0.439713i | \(-0.144920\pi\) |
−0.371365 | + | 0.928487i | \(0.621110\pi\) | |||||||
\(6\) | −4.48073 | + | 1.12587i | −1.82925 | + | 0.459633i | ||||
\(7\) | −4.15657 | + | 2.39980i | −1.57104 | + | 0.907038i | −0.574993 | + | 0.818158i | \(0.694995\pi\) |
−0.996042 | + | 0.0888799i | \(0.971671\pi\) | |||||||
\(8\) | 1.84879 | − | 8.10007i | 0.653645 | − | 2.86381i | ||||
\(9\) | 2.75701 | + | 1.18275i | 0.919003 | + | 0.394251i | ||||
\(10\) | 4.09562 | + | 1.26333i | 1.29515 | + | 0.399501i | ||||
\(11\) | 0.475385 | − | 0.379106i | 0.143334 | − | 0.114305i | −0.549198 | − | 0.835692i | \(-0.685067\pi\) |
0.692532 | + | 0.721387i | \(0.256495\pi\) | |||||||
\(12\) | −6.80446 | + | 5.67307i | −1.96428 | + | 1.63767i | ||||
\(13\) | −1.35661 | + | 0.418460i | −0.376257 | + | 0.116060i | −0.477115 | − | 0.878841i | \(-0.658317\pi\) |
0.100858 | + | 0.994901i | \(0.467841\pi\) | |||||||
\(14\) | −7.21177 | + | 10.5777i | −1.92743 | + | 2.82702i | ||||
\(15\) | −1.61749 | − | 2.26486i | −0.417634 | − | 0.584784i | ||||
\(16\) | −2.65508 | − | 11.6326i | −0.663769 | − | 2.90816i | ||||
\(17\) | 1.98006 | + | 2.13399i | 0.480234 | + | 0.517570i | 0.925971 | − | 0.377595i | \(-0.123249\pi\) |
−0.445737 | + | 0.895164i | \(0.647058\pi\) | |||||||
\(18\) | 7.99450 | − | 0.348351i | 1.88432 | − | 0.0821071i | ||||
\(19\) | −1.04359 | + | 0.409578i | −0.239415 | + | 0.0939637i | −0.482015 | − | 0.876163i | \(-0.660095\pi\) |
0.242600 | + | 0.970126i | \(0.422000\pi\) | |||||||
\(20\) | 8.12694 | − | 1.22494i | 1.81724 | − | 0.273905i | ||||
\(21\) | 7.88858 | − | 2.62271i | 1.72143 | − | 0.572322i | ||||
\(22\) | 0.703700 | − | 1.46125i | 0.150029 | − | 0.311539i | ||||
\(23\) | 0.305206 | + | 2.02491i | 0.0636399 | + | 0.422223i | 0.997852 | + | 0.0655055i | \(0.0208660\pi\) |
−0.934212 | + | 0.356717i | \(0.883896\pi\) | |||||||
\(24\) | −5.96006 | + | 13.0983i | −1.21659 | + | 2.67368i | ||||
\(25\) | −0.180701 | − | 2.41128i | −0.0361402 | − | 0.482257i | ||||
\(26\) | −2.77593 | + | 2.57569i | −0.544405 | + | 0.505134i | ||||
\(27\) | −4.26532 | − | 2.96767i | −0.820861 | − | 0.571128i | ||||
\(28\) | −3.65885 | + | 24.2749i | −0.691458 | + | 4.58752i | ||||
\(29\) | −1.44195 | − | 0.983108i | −0.267764 | − | 0.182559i | 0.421993 | − | 0.906599i | \(-0.361331\pi\) |
−0.689758 | + | 0.724040i | \(0.742283\pi\) | |||||||
\(30\) | −6.50835 | − | 3.57097i | −1.18826 | − | 0.651967i | ||||
\(31\) | 0.0959321 | − | 1.28012i | 0.0172299 | − | 0.229917i | −0.981940 | − | 0.189190i | \(-0.939414\pi\) |
0.999170 | − | 0.0407267i | \(-0.0129673\pi\) | |||||||
\(32\) | −9.48309 | − | 11.8914i | −1.67639 | − | 2.10213i | ||||
\(33\) | −0.938687 | + | 0.477497i | −0.163404 | + | 0.0831215i | ||||
\(34\) | 7.22822 | + | 2.83687i | 1.23963 | + | 0.486519i | ||||
\(35\) | −7.51885 | − | 1.71613i | −1.27092 | − | 0.290078i | ||||
\(36\) | 13.5220 | − | 7.25324i | 2.25366 | − | 1.20887i | ||||
\(37\) | −7.41825 | − | 4.28293i | −1.21955 | − | 0.704109i | −0.254730 | − | 0.967012i | \(-0.581987\pi\) |
−0.964822 | + | 0.262903i | \(0.915320\pi\) | |||||||
\(38\) | −2.03395 | + | 2.19207i | −0.329950 | + | 0.355601i | ||||
\(39\) | 2.44751 | − | 0.237101i | 0.391915 | − | 0.0379665i | ||||
\(40\) | 11.0305 | − | 7.52048i | 1.74408 | − | 1.18909i | ||||
\(41\) | 3.15640 | + | 6.55434i | 0.492947 | + | 1.02362i | 0.987957 | + | 0.154728i | \(0.0494502\pi\) |
−0.495010 | + | 0.868887i | \(0.664836\pi\) | |||||||
\(42\) | 15.9226 | − | 15.4326i | 2.45691 | − | 2.38130i | ||||
\(43\) | 5.95637 | − | 2.74257i | 0.908338 | − | 0.418238i | ||||
\(44\) | − | 3.11002i | − | 0.468853i | ||||||
\(45\) | 1.95481 | + | 4.40639i | 0.291407 | + | 0.656866i | ||||
\(46\) | 3.07696 | + | 4.51306i | 0.453672 | + | 0.665415i | ||||
\(47\) | −9.07388 | − | 7.23617i | −1.32356 | − | 1.05550i | −0.993770 | − | 0.111450i | \(-0.964450\pi\) |
−0.329791 | − | 0.944054i | \(-0.606978\pi\) | |||||||
\(48\) | 0.449938 | + | 20.6616i | 0.0649430 | + | 2.98224i | ||||
\(49\) | 8.01805 | − | 13.8877i | 1.14544 | − | 1.98395i | ||||
\(50\) | −3.22490 | − | 5.58570i | −0.456070 | − | 0.789937i | ||||
\(51\) | −2.61557 | − | 4.31074i | −0.366252 | − | 0.603624i | ||||
\(52\) | −2.65290 | + | 6.75949i | −0.367892 | + | 0.937373i | ||||
\(53\) | 0.466037 | − | 1.51085i | 0.0640150 | − | 0.207532i | −0.917915 | − | 0.396778i | \(-0.870128\pi\) |
0.981930 | + | 0.189246i | \(0.0606045\pi\) | |||||||
\(54\) | −13.6850 | − | 2.19557i | −1.86230 | − | 0.298779i | ||||
\(55\) | 0.974294 | + | 0.0730132i | 0.131374 | + | 0.00984510i | ||||
\(56\) | 11.7539 | + | 38.1052i | 1.57068 | + | 5.09202i | ||||
\(57\) | 1.91333 | − | 0.331141i | 0.253427 | − | 0.0438607i | ||||
\(58\) | −4.60310 | − | 0.693805i | −0.604416 | − | 0.0911011i | ||||
\(59\) | 7.70504 | − | 1.75862i | 1.00311 | − | 0.228953i | 0.310739 | − | 0.950495i | \(-0.399423\pi\) |
0.692371 | + | 0.721542i | \(0.256566\pi\) | |||||||
\(60\) | −14.2153 | − | 0.754496i | −1.83518 | − | 0.0974050i | ||||
\(61\) | −3.52016 | + | 0.263799i | −0.450710 | + | 0.0337760i | −0.298152 | − | 0.954518i | \(-0.596370\pi\) |
−0.152558 | + | 0.988295i | \(0.548751\pi\) | |||||||
\(62\) | −1.25098 | − | 3.18743i | −0.158874 | − | 0.404805i | ||||
\(63\) | −14.2981 | + | 1.70006i | −1.80139 | + | 0.214188i | ||||
\(64\) | −15.0518 | − | 7.24854i | −1.88147 | − | 0.906068i | ||||
\(65\) | −2.05530 | − | 0.989783i | −0.254929 | − | 0.122767i | ||||
\(66\) | −1.70324 | + | 2.23389i | −0.209655 | + | 0.274973i | ||||
\(67\) | 1.96093 | + | 4.99637i | 0.239566 | + | 0.610404i | 0.999202 | − | 0.0399445i | \(-0.0127181\pi\) |
−0.759636 | + | 0.650349i | \(0.774623\pi\) | |||||||
\(68\) | 14.8482 | − | 1.11272i | 1.80061 | − | 0.134937i | ||||
\(69\) | 0.187990 | − | 3.54188i | 0.0226314 | − | 0.426392i | ||||
\(70\) | −20.0555 | + | 4.57754i | −2.39709 | + | 0.547120i | ||||
\(71\) | 2.68369 | + | 0.404501i | 0.318495 | + | 0.0480055i | 0.306345 | − | 0.951921i | \(-0.400894\pi\) |
0.0121510 | + | 0.999926i | \(0.496132\pi\) | |||||||
\(72\) | 14.6775 | − | 20.1453i | 1.72976 | − | 2.37415i | ||||
\(73\) | −1.10298 | − | 3.57578i | −0.129094 | − | 0.418514i | 0.867832 | − | 0.496858i | \(-0.165513\pi\) |
−0.996926 | + | 0.0783439i | \(0.975037\pi\) | |||||||
\(74\) | −22.7844 | − | 1.70745i | −2.64863 | − | 0.198487i | ||||
\(75\) | −0.533904 | + | 4.15401i | −0.0616499 | + | 0.479664i | ||||
\(76\) | −1.69017 | + | 5.47940i | −0.193876 | + | 0.628530i | ||||
\(77\) | −1.06619 | + | 2.71661i | −0.121504 | + | 0.309586i | ||||
\(78\) | 5.60748 | − | 3.40237i | 0.634922 | − | 0.385242i | ||||
\(79\) | 3.63330 | + | 6.29307i | 0.408779 | + | 0.708025i | 0.994753 | − | 0.102304i | \(-0.0326215\pi\) |
−0.585975 | + | 0.810329i | \(0.699288\pi\) | |||||||
\(80\) | 9.58628 | − | 16.6039i | 1.07178 | − | 1.85638i | ||||
\(81\) | 6.20219 | + | 6.52172i | 0.689132 | + | 0.724636i | ||||
\(82\) | 15.1710 | + | 12.0985i | 1.67536 | + | 1.33605i | ||||
\(83\) | 8.48661 | + | 12.4476i | 0.931527 | + | 1.36630i | 0.930497 | + | 0.366300i | \(0.119375\pi\) |
0.00103006 | + | 0.999999i | \(0.499672\pi\) | |||||||
\(84\) | 14.6690 | − | 39.9098i | 1.60052 | − | 4.35452i | ||||
\(85\) | 4.67770i | 0.507368i | ||||||||
\(86\) | 11.1404 | − | 13.4844i | 1.20130 | − | 1.45406i | ||||
\(87\) | 2.10377 | + | 2.17057i | 0.225548 | + | 0.232709i | ||||
\(88\) | −2.19190 | − | 4.55153i | −0.233658 | − | 0.485195i | ||||
\(89\) | −5.88635 | + | 4.01325i | −0.623952 | + | 0.425403i | −0.833596 | − | 0.552375i | \(-0.813722\pi\) |
0.209644 | + | 0.977778i | \(0.432769\pi\) | |||||||
\(90\) | 9.79746 | + | 8.32713i | 1.03274 | + | 0.877757i | ||||
\(91\) | 4.63464 | − | 4.99495i | 0.485842 | − | 0.523613i | ||||
\(92\) | 9.07079 | + | 5.23703i | 0.945696 | + | 0.545998i | ||||
\(93\) | −0.608963 | + | 2.13844i | −0.0631465 | + | 0.221746i | ||||
\(94\) | −30.1810 | − | 6.88863i | −3.11294 | − | 0.710508i | ||||
\(95\) | −1.67688 | − | 0.658129i | −0.172045 | − | 0.0675226i | ||||
\(96\) | 11.9443 | + | 23.4806i | 1.21906 | + | 2.39648i | ||||
\(97\) | −1.59617 | − | 2.00153i | −0.162066 | − | 0.203225i | 0.694167 | − | 0.719814i | \(-0.255773\pi\) |
−0.856233 | + | 0.516589i | \(0.827201\pi\) | |||||||
\(98\) | 3.19651 | − | 42.6545i | 0.322897 | − | 4.30875i | ||||
\(99\) | 1.75903 | − | 0.482937i | 0.176789 | − | 0.0485370i | ||||
\(100\) | −10.2188 | − | 6.96708i | −1.02188 | − | 0.696708i | ||||
\(101\) | 0.355935 | − | 2.36147i | 0.0354169 | − | 0.234976i | −0.964118 | − | 0.265474i | \(-0.914471\pi\) |
0.999535 | + | 0.0304988i | \(0.00970956\pi\) | |||||||
\(102\) | −11.2747 | − | 7.33256i | −1.11636 | − | 0.726032i | ||||
\(103\) | −2.29759 | + | 2.13185i | −0.226389 | + | 0.210058i | −0.785209 | − | 0.619231i | \(-0.787445\pi\) |
0.558821 | + | 0.829289i | \(0.311254\pi\) | |||||||
\(104\) | 0.881462 | + | 11.7623i | 0.0864345 | + | 1.15339i | ||||
\(105\) | 12.1584 | + | 5.53240i | 1.18654 | + | 0.539907i | ||||
\(106\) | −0.628565 | − | 4.17026i | −0.0610516 | − | 0.405051i | ||||
\(107\) | 2.72464 | − | 5.65777i | 0.263401 | − | 0.546957i | −0.726760 | − | 0.686891i | \(-0.758975\pi\) |
0.990161 | + | 0.139934i | \(0.0446891\pi\) | |||||||
\(108\) | −25.4698 | + | 7.59271i | −2.45083 | + | 0.730609i | ||||
\(109\) | 7.07985 | − | 1.06712i | 0.678127 | − | 0.102211i | 0.199057 | − | 0.979988i | \(-0.436212\pi\) |
0.479070 | + | 0.877777i | \(0.340974\pi\) | |||||||
\(110\) | 2.42593 | − | 0.952109i | 0.231304 | − | 0.0907800i | ||||
\(111\) | 11.0930 | + | 9.85220i | 1.05291 | + | 0.935130i | ||||
\(112\) | 38.9520 | + | 41.9803i | 3.68062 | + | 3.96676i | ||||
\(113\) | 2.75869 | + | 12.0866i | 0.259516 | + | 1.13701i | 0.921771 | + | 0.387735i | \(0.126742\pi\) |
−0.662255 | + | 0.749279i | \(0.730400\pi\) | |||||||
\(114\) | 4.21490 | − | 3.01015i | 0.394762 | − | 0.281926i | ||||
\(115\) | −1.85359 | + | 2.71871i | −0.172848 | + | 0.253521i | ||||
\(116\) | −8.52984 | + | 2.63111i | −0.791976 | + | 0.244292i | ||||
\(117\) | −4.23513 | − | 0.450841i | −0.391538 | − | 0.0416803i | ||||
\(118\) | 16.4815 | − | 13.1436i | 1.51725 | − | 1.20996i | ||||
\(119\) | −13.3514 | − | 4.11836i | −1.22392 | − | 0.377530i | ||||
\(120\) | −21.3359 | + | 8.91454i | −1.94769 | + | 0.813782i | ||||
\(121\) | −2.36546 | + | 10.3638i | −0.215042 | + | 0.942160i | ||||
\(122\) | −8.15438 | + | 4.70793i | −0.738262 | + | 0.426236i | ||||
\(123\) | −3.07061 | − | 12.2204i | −0.276867 | − | 1.10188i | ||||
\(124\) | −4.81320 | − | 4.46600i | −0.432238 | − | 0.401058i | ||||
\(125\) | 7.43178 | − | 9.31916i | 0.664719 | − | 0.833531i | ||||
\(126\) | −32.3937 | + | 20.6331i | −2.88586 | + | 1.83815i | ||||
\(127\) | −14.3316 | + | 6.90173i | −1.27172 | + | 0.612429i | −0.943250 | − | 0.332084i | \(-0.892248\pi\) |
−0.328473 | + | 0.944514i | \(0.606534\pi\) | |||||||
\(128\) | −14.1421 | −1.24999 | ||||||||
\(129\) | −11.0616 | + | 2.57692i | −0.973922 | + | 0.226885i | ||||
\(130\) | −6.08483 | −0.533675 | ||||||||
\(131\) | 6.81261 | − | 3.28078i | 0.595221 | − | 0.286643i | −0.111919 | − | 0.993717i | \(-0.535700\pi\) |
0.707139 | + | 0.707074i | \(0.249985\pi\) | |||||||
\(132\) | −1.08404 | + | 5.27650i | −0.0943532 | + | 0.459261i | ||||
\(133\) | 3.35484 | − | 4.20684i | 0.290902 | − | 0.364779i | ||||
\(134\) | 10.4950 | + | 9.73790i | 0.906627 | + | 0.841227i | ||||
\(135\) | −1.78067 | − | 8.15733i | −0.153255 | − | 0.702071i | ||||
\(136\) | 20.9462 | − | 12.0933i | 1.79612 | − | 1.03699i | ||||
\(137\) | −4.15748 | + | 18.2151i | −0.355197 | + | 1.55622i | 0.409793 | + | 0.912179i | \(0.365601\pi\) |
−0.764990 | + | 0.644042i | \(0.777256\pi\) | |||||||
\(138\) | −3.64732 | − | 8.72945i | −0.310481 | − | 0.743100i | ||||
\(139\) | −3.21741 | − | 0.992439i | −0.272897 | − | 0.0841776i | 0.155286 | − | 0.987870i | \(-0.450370\pi\) |
−0.428183 | + | 0.903692i | \(0.640846\pi\) | |||||||
\(140\) | −30.8406 | + | 24.5946i | −2.60651 | + | 2.07862i | ||||
\(141\) | 12.8726 | + | 15.4398i | 1.08407 | + | 1.30027i | ||||
\(142\) | 6.91762 | − | 2.13380i | 0.580513 | − | 0.179065i | ||||
\(143\) | −0.486272 | + | 0.713230i | −0.0406641 | + | 0.0596433i | ||||
\(144\) | 6.43848 | − | 35.2116i | 0.536540 | − | 2.93430i | ||||
\(145\) | −0.624010 | − | 2.73396i | −0.0518212 | − | 0.227043i | ||||
\(146\) | −6.78905 | − | 7.31685i | −0.561866 | − | 0.605547i | ||||
\(147\) | −18.4443 | + | 20.7672i | −1.52126 | + | 1.71285i | ||||
\(148\) | −40.7842 | + | 16.0066i | −3.35244 | + | 1.31574i | ||||
\(149\) | 13.3886 | − | 2.01800i | 1.09683 | − | 0.165321i | 0.424397 | − | 0.905476i | \(-0.360486\pi\) |
0.672436 | + | 0.740155i | \(0.265248\pi\) | |||||||
\(150\) | 3.52446 | + | 10.6009i | 0.287771 | + | 0.865557i | ||||
\(151\) | 6.77542 | − | 14.0693i | 0.551376 | − | 1.14494i | −0.420029 | − | 0.907511i | \(-0.637980\pi\) |
0.971404 | − | 0.237432i | \(-0.0763057\pi\) | |||||||
\(152\) | 1.38824 | + | 9.21035i | 0.112601 | + | 0.747058i | ||||
\(153\) | 2.93505 | + | 8.22536i | 0.237284 | + | 0.664981i | ||||
\(154\) | 0.581720 | + | 7.76251i | 0.0468763 | + | 0.625521i | ||||
\(155\) | 1.51209 | − | 1.40301i | 0.121454 | − | 0.112693i | ||||
\(156\) | 6.85706 | − | 10.5436i | 0.549004 | − | 0.844160i | ||||
\(157\) | 0.532983 | − | 3.53611i | 0.0425367 | − | 0.282212i | −0.957443 | − | 0.288623i | \(-0.906803\pi\) |
0.999979 | + | 0.00641082i | \(0.00204064\pi\) | |||||||
\(158\) | 16.0147 | + | 10.9187i | 1.27406 | + | 0.868641i | ||||
\(159\) | −1.31731 | + | 2.40089i | −0.104470 | + | 0.190403i | ||||
\(160\) | 1.82638 | − | 24.3713i | 0.144388 | − | 1.92672i | ||||
\(161\) | −6.12798 | − | 7.68425i | −0.482953 | − | 0.605604i | ||||
\(162\) | 22.4529 | + | 8.49512i | 1.76407 | + | 0.667439i | ||||
\(163\) | −1.63128 | − | 0.640231i | −0.127772 | − | 0.0501467i | 0.300594 | − | 0.953752i | \(-0.402815\pi\) |
−0.428366 | + | 0.903606i | \(0.640910\pi\) | |||||||
\(164\) | 36.2763 | + | 8.27982i | 2.83270 | + | 0.646545i | ||||
\(165\) | −1.62755 | − | 0.463478i | −0.126705 | − | 0.0360817i | ||||
\(166\) | 34.8010 | + | 20.0924i | 2.70108 | + | 1.55947i | ||||
\(167\) | 6.67157 | − | 7.19025i | 0.516262 | − | 0.556398i | −0.420080 | − | 0.907487i | \(-0.637998\pi\) |
0.936342 | + | 0.351089i | \(0.114189\pi\) | |||||||
\(168\) | −6.65980 | − | 68.7469i | −0.513815 | − | 5.30393i | ||||
\(169\) | −9.07581 | + | 6.18779i | −0.698140 | + | 0.475983i | ||||
\(170\) | 5.41363 | + | 11.2415i | 0.415206 | + | 0.862185i | ||||
\(171\) | −3.36161 | − | 0.105097i | −0.257069 | − | 0.00803693i | ||||
\(172\) | 8.02776 | − | 32.5653i | 0.612111 | − | 2.48308i | ||||
\(173\) | − | 7.18274i | − | 0.546093i | −0.962001 | − | 0.273047i | \(-0.911969\pi\) | ||
0.962001 | − | 0.273047i | \(-0.0880314\pi\) | |||||||
\(174\) | 7.56785 | + | 2.78159i | 0.573718 | + | 0.210872i | ||||
\(175\) | 6.53769 | + | 9.58903i | 0.494203 | + | 0.724862i | ||||
\(176\) | −5.67219 | − | 4.52342i | −0.427558 | − | 0.340966i | ||||
\(177\) | −13.6855 | + | 0.298023i | −1.02866 | + | 0.0224008i | ||||
\(178\) | −9.50151 | + | 16.4571i | −0.712169 | + | 1.23351i | ||||
\(179\) | −8.48669 | − | 14.6994i | −0.634325 | − | 1.09868i | −0.986658 | − | 0.162808i | \(-0.947945\pi\) |
0.352333 | − | 0.935875i | \(-0.385389\pi\) | |||||||
\(180\) | 23.8548 | + | 6.23500i | 1.77804 | + | 0.464729i | ||||
\(181\) | 4.17709 | − | 10.6430i | 0.310480 | − | 0.791091i | −0.687416 | − | 0.726264i | \(-0.741255\pi\) |
0.997896 | − | 0.0648274i | \(-0.0206497\pi\) | |||||||
\(182\) | 5.35723 | − | 17.3677i | 0.397104 | − | 1.28738i | ||||
\(183\) | 6.06430 | + | 0.779428i | 0.448286 | + | 0.0576170i | ||||
\(184\) | 16.9662 | + | 1.27144i | 1.25076 | + | 0.0937317i | ||||
\(185\) | −4.05701 | − | 13.1525i | −0.298277 | − | 0.966992i | ||||
\(186\) | 1.01140 | + | 5.84389i | 0.0741598 | + | 0.428495i | ||||
\(187\) | 1.75030 | + | 0.263815i | 0.127995 | + | 0.0192921i | ||||
\(188\) | −57.8739 | + | 13.2094i | −4.22089 | + | 0.963391i | ||||
\(189\) | 24.8509 | + | 2.09941i | 1.80764 | + | 0.152710i | ||||
\(190\) | −4.79158 | + | 0.359079i | −0.347618 | + | 0.0260503i | ||||
\(191\) | −4.49047 | − | 11.4415i | −0.324919 | − | 0.827881i | −0.996234 | − | 0.0867080i | \(-0.972365\pi\) |
0.671315 | − | 0.741173i | \(-0.265730\pi\) | |||||||
\(192\) | 23.0105 | + | 17.5445i | 1.66064 | + | 1.26616i | ||||
\(193\) | 18.1248 | + | 8.72842i | 1.30465 | + | 0.628286i | 0.951606 | − | 0.307321i | \(-0.0994327\pi\) |
0.353043 | + | 0.935607i | \(0.385147\pi\) | |||||||
\(194\) | −6.15236 | − | 2.96282i | −0.441713 | − | 0.212718i | ||||
\(195\) | 3.14206 | + | 2.39568i | 0.225008 | + | 0.171558i | ||||
\(196\) | −29.9660 | − | 76.3520i | −2.14043 | − | 5.45371i | ||||
\(197\) | −19.4215 | + | 1.45544i | −1.38372 | + | 0.103696i | −0.745679 | − | 0.666306i | \(-0.767875\pi\) |
−0.638042 | + | 0.770001i | \(0.720256\pi\) | |||||||
\(198\) | 3.66840 | − | 3.19637i | 0.260702 | − | 0.227156i | ||||
\(199\) | −24.5221 | + | 5.59701i | −1.73833 | + | 0.396762i | −0.969963 | − | 0.243253i | \(-0.921786\pi\) |
−0.768363 | + | 0.640014i | \(0.778928\pi\) | |||||||
\(200\) | −19.8656 | − | 2.99426i | −1.40471 | − | 0.211726i | ||||
\(201\) | −1.58540 | − | 9.16043i | −0.111825 | − | 0.646127i | ||||
\(202\) | −1.87761 | − | 6.08706i | −0.132108 | − | 0.428284i | ||||
\(203\) | 8.35285 | + | 0.625959i | 0.586255 | + | 0.0439337i | ||||
\(204\) | −25.5795 | − | 3.28767i | −1.79092 | − | 0.230183i | ||||
\(205\) | −3.44552 | + | 11.1701i | −0.240646 | + | 0.780154i | ||||
\(206\) | −3.05435 | + | 7.78236i | −0.212807 | + | 0.542223i | ||||
\(207\) | −1.55351 | + | 5.94368i | −0.107977 | + | 0.413114i | ||||
\(208\) | 8.46970 | + | 14.6700i | 0.587268 | + | 1.01718i | ||||
\(209\) | −0.340832 | + | 0.590338i | −0.0235758 | + | 0.0408345i | ||||
\(210\) | 35.6220 | − | 0.775725i | 2.45815 | − | 0.0535301i | ||||
\(211\) | 4.37618 | + | 3.48989i | 0.301268 | + | 0.240254i | 0.762442 | − | 0.647056i | \(-0.224000\pi\) |
−0.461174 | + | 0.887310i | \(0.652572\pi\) | |||||||
\(212\) | −4.55559 | − | 6.68182i | −0.312879 | − | 0.458910i | ||||
\(213\) | −4.41220 | − | 1.62172i | −0.302319 | − | 0.111118i | ||||
\(214\) | − | 16.7501i | − | 1.14501i | ||||||
\(215\) | 10.0135 | + | 3.27943i | 0.682912 | + | 0.223656i | ||||
\(216\) | −31.9240 | + | 29.0628i | −2.17215 | + | 1.97747i | ||||
\(217\) | 2.67329 | + | 5.55114i | 0.181475 | + | 0.376836i | ||||
\(218\) | 15.7794 | − | 10.7582i | 1.06871 | − | 0.728637i | ||||
\(219\) | 0.624955 | + | 6.45119i | 0.0422305 | + | 0.435931i | ||||
\(220\) | 3.39904 | − | 3.66329i | 0.229163 | − | 0.246979i | ||||
\(221\) | −3.57916 | − | 2.06643i | −0.240760 | − | 0.139003i | ||||
\(222\) | 38.0611 | + | 10.8387i | 2.55450 | + | 0.727443i | ||||
\(223\) | 12.8381 | + | 2.93020i | 0.859700 | + | 0.196221i | 0.629575 | − | 0.776940i | \(-0.283229\pi\) |
0.230125 | + | 0.973161i | \(0.426086\pi\) | |||||||
\(224\) | 67.9541 | + | 26.6700i | 4.54038 | + | 1.78197i | ||||
\(225\) | 2.35376 | − | 6.86166i | 0.156917 | − | 0.457444i | ||||
\(226\) | 20.6179 | + | 25.8540i | 1.37148 | + | 1.71978i | ||||
\(227\) | −1.71614 | + | 22.9002i | −0.113904 | + | 1.51994i | 0.588694 | + | 0.808356i | \(0.299642\pi\) |
−0.702598 | + | 0.711587i | \(0.747977\pi\) | |||||||
\(228\) | 4.77748 | − | 8.70730i | 0.316397 | − | 0.576655i | ||||
\(229\) | −14.1045 | − | 9.61632i | −0.932055 | − | 0.635464i | −0.000865179 | − | 1.00000i | \(-0.500275\pi\) |
−0.931189 | + | 0.364536i | \(0.881228\pi\) | |||||||
\(230\) | −1.30813 | + | 8.67885i | −0.0862553 | + | 0.572266i | ||||
\(231\) | 2.75582 | − | 4.23741i | 0.181320 | − | 0.278801i | ||||
\(232\) | −10.6291 | + | 9.86237i | −0.697835 | + | 0.647497i | ||||
\(233\) | 0.327122 | + | 4.36514i | 0.0214305 | + | 0.285970i | 0.997615 | + | 0.0690269i | \(0.0219894\pi\) |
−0.976184 | + | 0.216943i | \(0.930392\pi\) | |||||||
\(234\) | −10.6997 | + | 3.81795i | −0.699460 | + | 0.249588i | ||||
\(235\) | −2.77948 | − | 18.4406i | −0.181313 | − | 1.20293i | ||||
\(236\) | 17.5391 | − | 36.4202i | 1.14170 | − | 2.37076i | ||||
\(237\) | −3.97079 | − | 11.9433i | −0.257931 | − | 0.775804i | ||||
\(238\) | −36.8525 | + | 5.55462i | −2.38879 | + | 0.360053i | ||||
\(239\) | −8.92097 | + | 3.50122i | −0.577049 | + | 0.226475i | −0.635874 | − | 0.771793i | \(-0.719360\pi\) |
0.0588243 | + | 0.998268i | \(0.481265\pi\) | |||||||
\(240\) | −22.0517 | + | 24.8291i | −1.42343 | + | 1.60271i | ||||
\(241\) | −8.12170 | − | 8.75311i | −0.523165 | − | 0.563837i | 0.415091 | − | 0.909780i | \(-0.363750\pi\) |
−0.938256 | + | 0.345942i | \(0.887559\pi\) | |||||||
\(242\) | 6.30955 | + | 27.6439i | 0.405593 | + | 1.77702i | ||||
\(243\) | −8.24951 | − | 13.2267i | −0.529206 | − | 0.848493i | ||||
\(244\) | −10.1710 | + | 14.9181i | −0.651132 | + | 0.955036i | ||||
\(245\) | 24.6228 | − | 7.59511i | 1.57309 | − | 0.485234i | ||||
\(246\) | −21.5223 | − | 25.8145i | −1.37221 | − | 1.64587i | ||||
\(247\) | 1.24435 | − | 0.992338i | 0.0791763 | − | 0.0631410i | ||||
\(248\) | −10.1917 | − | 3.14373i | −0.647176 | − | 0.199627i | ||||
\(249\) | −10.0598 | − | 24.0769i | −0.637512 | − | 1.52581i | ||||
\(250\) | 7.07484 | − | 30.9969i | 0.447452 | − | 1.96042i | ||||
\(251\) | 10.0497 | − | 5.80220i | 0.634332 | − | 0.366232i | −0.148096 | − | 0.988973i | \(-0.547314\pi\) |
0.782428 | + | 0.622741i | \(0.213981\pi\) | |||||||
\(252\) | −38.7987 | + | 62.5986i | −2.44409 | + | 3.94334i | ||||
\(253\) | 0.912747 | + | 0.846905i | 0.0573839 | + | 0.0532445i | ||||
\(254\) | −26.4543 | + | 33.1726i | −1.65989 | + | 2.08143i | ||||
\(255\) | 1.63047 | − | 7.93627i | 0.102104 | − | 0.496988i | ||||
\(256\) | −3.88288 | + | 1.86990i | −0.242680 | + | 0.116869i | ||||
\(257\) | −24.2753 | −1.51425 | −0.757124 | − | 0.653271i | \(-0.773396\pi\) | ||||
−0.757124 | + | 0.653271i | \(0.773396\pi\) | |||||||
\(258\) | −23.6011 | + | 18.9948i | −1.46934 | + | 1.18256i | ||||
\(259\) | 41.1126 | 2.55461 | ||||||||
\(260\) | −10.5125 | + | 5.06257i | −0.651959 | + | 0.313967i | ||||
\(261\) | −2.81271 | − | 4.41591i | −0.174102 | − | 0.273338i | ||||
\(262\) | 12.5752 | − | 15.7688i | 0.776899 | − | 0.974201i | ||||
\(263\) | 8.94557 | + | 8.30028i | 0.551608 | + | 0.511817i | 0.905999 | − | 0.423280i | \(-0.139121\pi\) |
−0.354391 | + | 0.935097i | \(0.615312\pi\) | |||||||
\(264\) | 2.13232 | + | 8.48622i | 0.131235 | + | 0.522291i | ||||
\(265\) | 2.20021 | − | 1.27029i | 0.135158 | − | 0.0780333i | ||||
\(266\) | 3.19371 | − | 13.9926i | 0.195819 | − | 0.857939i | ||||
\(267\) | 11.3857 | − | 4.75717i | 0.696796 | − | 0.291134i | ||||
\(268\) | 26.2337 | + | 8.09201i | 1.60248 | + | 0.494298i | ||||
\(269\) | 6.66741 | − | 5.31709i | 0.406519 | − | 0.324188i | −0.398791 | − | 0.917042i | \(-0.630570\pi\) |
0.805310 | + | 0.592853i | \(0.201999\pi\) | |||||||
\(270\) | −13.7200 | − | 17.5430i | −0.834973 | − | 1.06763i | ||||
\(271\) | −15.6325 | + | 4.82199i | −0.949607 | + | 0.292915i | −0.730598 | − | 0.682808i | \(-0.760759\pi\) |
−0.219009 | + | 0.975723i | \(0.570282\pi\) | |||||||
\(272\) | 19.5668 | − | 28.6992i | 1.18641 | − | 1.74015i | ||||
\(273\) | −9.60425 | + | 6.85905i | −0.581276 | + | 0.415129i | ||||
\(274\) | 11.0895 | + | 48.5863i | 0.669941 | + | 2.93521i | ||||
\(275\) | −1.00004 | − | 1.07778i | −0.0603044 | − | 0.0649927i | ||||
\(276\) | −13.5642 | − | 12.0470i | −0.816470 | − | 0.725142i | ||||
\(277\) | −9.62817 | + | 3.77878i | −0.578501 | + | 0.227045i | −0.636506 | − | 0.771271i | \(-0.719621\pi\) |
0.0580057 | + | 0.998316i | \(0.481526\pi\) | |||||||
\(278\) | −8.88069 | + | 1.33855i | −0.532628 | + | 0.0802808i | ||||
\(279\) | 1.77856 | − | 3.41585i | 0.106479 | − | 0.204502i | ||||
\(280\) | −27.8015 | + | 57.7304i | −1.66146 | + | 3.45005i | ||||
\(281\) | −3.56553 | − | 23.6557i | −0.212702 | − | 1.41118i | −0.799118 | − | 0.601174i | \(-0.794700\pi\) |
0.586417 | − | 0.810010i | \(-0.300538\pi\) | |||||||
\(282\) | 48.8045 | + | 22.2073i | 2.90627 | + | 1.32243i | ||||
\(283\) | −2.30912 | − | 30.8130i | −0.137263 | − | 1.83164i | −0.463201 | − | 0.886254i | \(-0.653299\pi\) |
0.325938 | − | 0.945391i | \(-0.394320\pi\) | |||||||
\(284\) | 10.1760 | − | 9.44193i | 0.603833 | − | 0.560275i | ||||
\(285\) | 2.61563 | + | 1.70109i | 0.154937 | + | 0.100764i | ||||
\(286\) | −0.343175 | + | 2.27682i | −0.0202924 | + | 0.134631i | ||||
\(287\) | −28.8489 | − | 19.6688i | −1.70290 | − | 1.16101i | ||||
\(288\) | −12.0803 | − | 44.0009i | −0.711841 | − | 2.59278i | ||||
\(289\) | 0.637107 | − | 8.50160i | 0.0374769 | − | 0.500094i | ||||
\(290\) | −4.66371 | − | 5.84811i | −0.273863 | − | 0.343413i | ||||
\(291\) | 2.01043 | + | 3.95220i | 0.117853 | + | 0.231682i | ||||
\(292\) | −17.8168 | − | 6.99257i | −1.04265 | − | 0.409209i | ||||
\(293\) | 26.4755 | + | 6.04286i | 1.54671 | + | 0.353028i | 0.908851 | − | 0.417121i | \(-0.136961\pi\) |
0.637864 | + | 0.770149i | \(0.279818\pi\) | |||||||
\(294\) | −20.2910 | + | 71.2541i | −1.18340 | + | 4.15562i | ||||
\(295\) | 10.9978 | + | 6.34960i | 0.640318 | + | 0.369688i | ||||
\(296\) | −48.4068 | + | 52.1701i | −2.81359 | + | 3.03232i | ||||
\(297\) | −3.15273 | + | 0.206228i | −0.182940 | + | 0.0119665i | ||||
\(298\) | 29.8400 | − | 20.3446i | 1.72859 | − | 1.17853i | ||||
\(299\) | −1.26139 | − | 2.61930i | −0.0729481 | − | 0.151478i | ||||
\(300\) | 14.9090 | + | 15.3824i | 0.860769 | + | 0.888101i | ||||
\(301\) | −18.1765 | + | 25.6938i | −1.04767 | + | 1.48096i | ||||
\(302\) | − | 41.6529i | − | 2.39685i | ||||||
\(303\) | −1.42701 | + | 3.88245i | −0.0819794 | + | 0.223041i | ||||
\(304\) | 7.53528 | + | 11.0522i | 0.432178 | + | 0.633889i | ||||
\(305\) | −4.43471 | − | 3.53656i | −0.253931 | − | 0.202503i | ||||
\(306\) | 16.5730 | + | 16.3705i | 0.947413 | + | 0.935837i | ||||
\(307\) | 3.97263 | − | 6.88080i | 0.226730 | − | 0.392708i | −0.730107 | − | 0.683333i | \(-0.760530\pi\) |
0.956837 | + | 0.290625i | \(0.0938631\pi\) | |||||||
\(308\) | 7.46341 | + | 12.9270i | 0.425267 | + | 0.736584i | ||||
\(309\) | 4.64122 | − | 2.81608i | 0.264030 | − | 0.160201i | ||||
\(310\) | 2.01013 | − | 5.12172i | 0.114167 | − | 0.290894i | ||||
\(311\) | −7.91332 | + | 25.6543i | −0.448723 | + | 1.45472i | 0.395367 | + | 0.918523i | \(0.370617\pi\) |
−0.844090 | + | 0.536201i | \(0.819859\pi\) | |||||||
\(312\) | 2.60439 | − | 20.2633i | 0.147445 | − | 1.14719i | ||||
\(313\) | −16.7782 | − | 1.25735i | −0.948361 | − | 0.0710698i | −0.408439 | − | 0.912785i | \(-0.633927\pi\) |
−0.539921 | + | 0.841716i | \(0.681546\pi\) | |||||||
\(314\) | −2.81156 | − | 9.11485i | −0.158666 | − | 0.514381i | ||||
\(315\) | −18.6998 | − | 13.6243i | −1.05361 | − | 0.767643i | ||||
\(316\) | 36.7523 | + | 5.53952i | 2.06748 | + | 0.311622i | ||||
\(317\) | 1.94923 | − | 0.444900i | 0.109480 | − | 0.0249881i | −0.167430 | − | 0.985884i | \(-0.553547\pi\) |
0.276910 | + | 0.960896i | \(0.410690\pi\) | |||||||
\(318\) | −0.387162 | + | 7.29442i | −0.0217109 | + | 0.409050i | ||||
\(319\) | −1.05819 | + | 0.0793001i | −0.0592470 | + | 0.00443995i | ||||
\(320\) | −9.80731 | − | 24.9886i | −0.548245 | − | 1.39691i | ||||
\(321\) | −6.59475 | + | 8.64935i | −0.368083 | + | 0.482760i | ||||
\(322\) | −23.6200 | − | 11.3748i | −1.31629 | − | 0.633893i | ||||
\(323\) | −2.94040 | − | 1.41602i | −0.163608 | − | 0.0787896i | ||||
\(324\) | 45.8590 | − | 4.00410i | 2.54772 | − | 0.222450i | ||||
\(325\) | 1.25417 | + | 3.19556i | 0.0695686 | + | 0.177258i | ||||
\(326\) | −4.66127 | + | 0.349314i | −0.258164 | + | 0.0193467i | ||||
\(327\) | −12.3837 | − | 0.657285i | −0.684822 | − | 0.0363479i | ||||
\(328\) | 58.9261 | − | 13.4495i | 3.25365 | − | 0.742624i | ||||
\(329\) | 55.0815 | + | 8.30221i | 3.03674 | + | 0.457715i | ||||
\(330\) | −4.44775 | + | 0.769773i | −0.244840 | + | 0.0423746i | ||||
\(331\) | 7.08562 | + | 22.9710i | 0.389461 | + | 1.26260i | 0.912072 | + | 0.410030i | \(0.134482\pi\) |
−0.522612 | + | 0.852571i | \(0.675042\pi\) | |||||||
\(332\) | 76.8412 | + | 5.75845i | 4.21721 | + | 0.316036i | ||||
\(333\) | −15.3865 | − | 20.5820i | −0.843176 | − | 1.12789i | ||||
\(334\) | 7.71174 | − | 25.0009i | 0.421968 | − | 1.36799i | ||||
\(335\) | −3.15091 | + | 8.02840i | −0.172153 | + | 0.438638i | ||||
\(336\) | −51.4538 | − | 84.8016i | −2.80704 | − | 4.62630i | ||||
\(337\) | −1.88253 | − | 3.26064i | −0.102548 | − | 0.177618i | 0.810186 | − | 0.586173i | \(-0.199366\pi\) |
−0.912734 | + | 0.408555i | \(0.866033\pi\) | |||||||
\(338\) | −14.6498 | + | 25.3742i | −0.796845 | + | 1.38018i | ||||
\(339\) | −0.467498 | − | 21.4679i | −0.0253910 | − | 1.16598i | ||||
\(340\) | 18.7058 | + | 14.9174i | 1.01447 | + | 0.809009i | ||||
\(341\) | −0.439699 | − | 0.644920i | −0.0238110 | − | 0.0349244i | ||||
\(342\) | −8.20029 | + | 3.63791i | −0.443421 | + | 0.196716i | ||||
\(343\) | 43.3696i | 2.34174i | ||||||||
\(344\) | −11.2029 | − | 53.3174i | −0.604022 | − | 2.87468i | ||||
\(345\) | 4.09247 | − | 3.96652i | 0.220331 | − | 0.213550i | ||||
\(346\) | −8.31277 | − | 17.2616i | −0.446897 | − | 0.927991i | ||||
\(347\) | 10.9567 | − | 7.47017i | 0.588188 | − | 0.401020i | −0.232333 | − | 0.972636i | \(-0.574636\pi\) |
0.820521 | + | 0.571616i | \(0.193683\pi\) | |||||||
\(348\) | 15.3890 | − | 1.49079i | 0.824935 | − | 0.0799150i | ||||
\(349\) | −5.66558 | + | 6.10604i | −0.303271 | + | 0.326849i | −0.866239 | − | 0.499630i | \(-0.833469\pi\) |
0.562967 | + | 0.826479i | \(0.309660\pi\) | |||||||
\(350\) | 26.8091 | + | 15.4782i | 1.43301 | + | 0.827346i | ||||
\(351\) | 7.02824 | + | 2.24111i | 0.375140 | + | 0.119622i | ||||
\(352\) | −9.01623 | − | 2.05790i | −0.480567 | − | 0.109686i | ||||
\(353\) | −16.8156 | − | 6.59965i | −0.895006 | − | 0.351264i | −0.127148 | − | 0.991884i | \(-0.540582\pi\) |
−0.767858 | + | 0.640620i | \(0.778677\pi\) | |||||||
\(354\) | −32.5442 | + | 16.5548i | −1.72970 | + | 0.879876i | ||||
\(355\) | 2.71903 | + | 3.40956i | 0.144311 | + | 0.180960i | ||||
\(356\) | −2.72312 | + | 36.3375i | −0.144325 | + | 1.92589i | ||||
\(357\) | 21.2167 | + | 11.6411i | 1.12291 | + | 0.616111i | ||||
\(358\) | −37.4073 | − | 25.5039i | −1.97704 | − | 1.34792i | ||||
\(359\) | −3.92886 | + | 26.0663i | −0.207357 | + | 1.37572i | 0.606696 | + | 0.794934i | \(0.292495\pi\) |
−0.814053 | + | 0.580790i | \(0.802744\pi\) | |||||||
\(360\) | 39.3061 | − | 7.68765i | 2.07161 | − | 0.405175i | ||||
\(361\) | −13.0067 | + | 12.0684i | −0.684561 | + | 0.635180i | ||||
\(362\) | −2.27904 | − | 30.4117i | −0.119784 | − | 1.59841i | ||||
\(363\) | 7.62570 | − | 16.7588i | 0.400245 | − | 0.879610i | ||||
\(364\) | −5.19442 | − | 34.4627i | −0.272262 | − | 1.80634i | ||||
\(365\) | 2.60889 | − | 5.41741i | 0.136555 | − | 0.283560i | ||||
\(366\) | 15.4758 | − | 5.14524i | 0.808936 | − | 0.268946i | ||||
\(367\) | 13.7045 | − | 2.06562i | 0.715370 | − | 0.107825i | 0.218735 | − | 0.975784i | \(-0.429807\pi\) |
0.496635 | + | 0.867960i | \(0.334569\pi\) | |||||||
\(368\) | 22.7447 | − | 8.92664i | 1.18565 | − | 0.465333i | ||||
\(369\) | 0.950066 | + | 21.8036i | 0.0494585 | + | 1.13505i | ||||
\(370\) | −24.9716 | − | 26.9130i | −1.29821 | − | 1.39914i | ||||
\(371\) | 1.68863 | + | 7.39836i | 0.0876692 | + | 0.384104i | ||||
\(372\) | 6.60947 | + | 9.25478i | 0.342685 | + | 0.479838i | ||||
\(373\) | 6.69416 | − | 9.81852i | 0.346610 | − | 0.508384i | −0.612861 | − | 0.790191i | \(-0.709981\pi\) |
0.959471 | + | 0.281807i | \(0.0909338\pi\) | |||||||
\(374\) | 4.51166 | − | 1.39166i | 0.233292 | − | 0.0719612i | ||||
\(375\) | −15.8572 | + | 13.2206i | −0.818862 | + | 0.682709i | ||||
\(376\) | −75.3892 | + | 60.1208i | −3.88790 | + | 3.10050i | ||||
\(377\) | 2.36757 | + | 0.730297i | 0.121936 | + | 0.0376122i | ||||
\(378\) | 62.1517 | − | 23.7152i | 3.19674 | − | 1.21978i | ||||
\(379\) | 0.474584 | − | 2.07929i | 0.0243777 | − | 0.106806i | −0.961275 | − | 0.275590i | \(-0.911127\pi\) |
0.985653 | + | 0.168784i | \(0.0539840\pi\) | |||||||
\(380\) | −7.97947 | + | 4.60695i | −0.409338 | + | 0.236332i | ||||
\(381\) | 26.7209 | − | 6.71412i | 1.36895 | − | 0.343975i | ||||
\(382\) | −24.0331 | − | 22.2995i | −1.22964 | − | 1.14094i | ||||
\(383\) | −6.12874 | + | 7.68519i | −0.313164 | + | 0.392695i | −0.913357 | − | 0.407160i | \(-0.866519\pi\) |
0.600193 | + | 0.799855i | \(0.295090\pi\) | |||||||
\(384\) | 23.9937 | + | 4.92940i | 1.22442 | + | 0.251552i | ||||
\(385\) | −4.22494 | + | 2.03462i | −0.215323 | + | 0.103694i | ||||
\(386\) | 53.6593 | 2.73118 | ||||||||
\(387\) | 19.6655 | − | 0.516373i | 0.999655 | − | 0.0262487i | ||||
\(388\) | −13.0942 | −0.664760 | ||||||||
\(389\) | −23.7420 | + | 11.4336i | −1.20377 | + | 0.579705i | −0.924748 | − | 0.380580i | \(-0.875724\pi\) |
−0.279021 | + | 0.960285i | \(0.590010\pi\) | |||||||
\(390\) | 10.3236 | + | 2.12094i | 0.522757 | + | 0.107398i | ||||
\(391\) | −3.71682 | + | 4.66075i | −0.187968 | + | 0.235704i | ||||
\(392\) | −97.6674 | − | 90.6221i | −4.93295 | − | 4.57711i | ||||
\(393\) | −12.7019 | + | 3.19160i | −0.640728 | + | 0.160995i | ||||
\(394\) | −44.9894 | + | 25.9747i | −2.26654 | + | 1.30858i | ||||
\(395\) | −2.59823 | + | 11.3836i | −0.130731 | + | 0.572769i | ||||
\(396\) | 3.67838 | − | 8.57434i | 0.184846 | − | 0.430877i | ||||
\(397\) | −21.1164 | − | 6.51355i | −1.05980 | − | 0.326906i | −0.284618 | − | 0.958641i | \(-0.591867\pi\) |
−0.775184 | + | 0.631735i | \(0.782343\pi\) | |||||||
\(398\) | −52.4542 | + | 41.8309i | −2.62929 | + | 2.09679i | ||||
\(399\) | −7.15822 | + | 5.96802i | −0.358359 | + | 0.298775i | ||||
\(400\) | −27.5698 | + | 8.50417i | −1.37849 | + | 0.425209i | ||||
\(401\) | −7.33893 | + | 10.7642i | −0.366489 | + | 0.537540i | −0.964547 | − | 0.263913i | \(-0.914987\pi\) |
0.598058 | + | 0.801453i | \(0.295939\pi\) | |||||||
\(402\) | −14.4116 | − | 20.1796i | −0.718788 | − | 1.00647i | ||||
\(403\) | 0.405538 | + | 1.77678i | 0.0202013 | + | 0.0885076i | ||||
\(404\) | −8.30829 | − | 8.95420i | −0.413353 | − | 0.445488i | ||||
\(405\) | 0.177768 | + | 14.4605i | 0.00883334 | + | 0.718549i | ||||
\(406\) | 20.7981 | − | 8.16265i | 1.03219 | − | 0.405106i | ||||
\(407\) | −5.15021 | + | 0.776269i | −0.255286 | + | 0.0384782i | ||||
\(408\) | −39.7529 | + | 13.2166i | −1.96806 | + | 0.654320i | ||||
\(409\) | 4.49472 | − | 9.33338i | 0.222250 | − | 0.461506i | −0.759793 | − | 0.650165i | \(-0.774700\pi\) |
0.982043 | + | 0.188659i | \(0.0604141\pi\) | |||||||
\(410\) | 4.64713 | + | 30.8317i | 0.229505 | + | 1.52267i | ||||
\(411\) | 13.4027 | − | 29.4549i | 0.661109 | − | 1.45290i | ||||
\(412\) | 1.19802 | + | 15.9865i | 0.0590223 | + | 0.787598i | ||||
\(413\) | −27.8062 | + | 25.8004i | −1.36825 | + | 1.26955i | ||||
\(414\) | 3.14535 | + | 16.0818i | 0.154586 | + | 0.790379i | ||||
\(415\) | −3.60797 | + | 23.9373i | −0.177108 | + | 1.17504i | ||||
\(416\) | 17.8410 | + | 12.1638i | 0.874725 | + | 0.596378i | ||||
\(417\) | 5.11278 | + | 2.80526i | 0.250374 | + | 0.137374i | ||||
\(418\) | −0.135878 | + | 1.81316i | −0.00664599 | + | 0.0886846i | ||||
\(419\) | 13.6549 | + | 17.1227i | 0.667086 | + | 0.836500i | 0.994094 | − | 0.108522i | \(-0.0346117\pi\) |
−0.327008 | + | 0.945022i | \(0.606040\pi\) | |||||||
\(420\) | 60.8974 | − | 30.9776i | 2.97149 | − | 1.51155i | ||||
\(421\) | 17.2489 | + | 6.76971i | 0.840662 | + | 0.329935i | 0.746306 | − | 0.665603i | \(-0.231826\pi\) |
0.0943557 | + | 0.995539i | \(0.469921\pi\) | |||||||
\(422\) | 14.5558 | + | 3.32227i | 0.708566 | + | 0.161726i | ||||
\(423\) | −16.4581 | − | 30.6823i | −0.800222 | − | 1.49183i | ||||
\(424\) | −11.3764 | − | 6.56817i | −0.552487 | − | 0.318979i | ||||
\(425\) | 4.78787 | − | 5.16010i | 0.232246 | − | 0.250301i | ||||
\(426\) | −12.4803 | + | 1.20902i | −0.604672 | + | 0.0585772i | ||||
\(427\) | 13.9987 | − | 9.54416i | 0.677445 | − | 0.461874i | ||||
\(428\) | −13.9361 | − | 28.9385i | −0.673624 | − | 1.39880i | ||||
\(429\) | 1.07362 | − | 1.04058i | 0.0518350 | − | 0.0502397i | ||||
\(430\) | 27.8598 | − | 3.70766i | 1.34352 | − | 0.178799i | ||||
\(431\) | − | 15.5240i | − | 0.747767i | −0.927476 | − | 0.373883i | \(-0.878026\pi\) | ||
0.927476 | − | 0.373883i | \(-0.121974\pi\) | |||||||
\(432\) | −23.1971 | + | 57.4963i | −1.11607 | + | 2.76629i | ||||
\(433\) | −0.0879925 | − | 0.129061i | −0.00422865 | − | 0.00620229i | 0.824119 | − | 0.566417i | \(-0.191671\pi\) |
−0.828347 | + | 0.560215i | \(0.810719\pi\) | |||||||
\(434\) | 12.8490 | + | 10.2467i | 0.616770 | + | 0.491858i | ||||
\(435\) | 0.105747 | + | 4.85599i | 0.00507017 | + | 0.232827i | ||||
\(436\) | 18.3106 | − | 31.7149i | 0.876920 | − | 1.51887i | ||||
\(437\) | −1.14787 | − | 1.98817i | −0.0549100 | − | 0.0951069i | ||||
\(438\) | 8.96802 | + | 14.7803i | 0.428509 | + | 0.706230i | ||||
\(439\) | 9.74795 | − | 24.8374i | 0.465244 | − | 1.18542i | −0.485166 | − | 0.874422i | \(-0.661241\pi\) |
0.950410 | − | 0.311000i | \(-0.100664\pi\) | |||||||
\(440\) | 2.39267 | − | 7.75686i | 0.114066 | − | 0.369794i | ||||
\(441\) | 38.5315 | − | 28.8050i | 1.83483 | − | 1.37167i | ||||
\(442\) | −10.9930 | − | 0.823813i | −0.522884 | − | 0.0391848i | ||||
\(443\) | −7.67778 | − | 24.8908i | −0.364782 | − | 1.18260i | −0.933049 | − | 0.359751i | \(-0.882862\pi\) |
0.568266 | − | 0.822845i | \(-0.307614\pi\) | |||||||
\(444\) | 74.7745 | − | 12.9412i | 3.54864 | − | 0.614165i | ||||
\(445\) | −11.3197 | − | 1.70618i | −0.536608 | − | 0.0808806i | ||||
\(446\) | 34.2438 | − | 7.81592i | 1.62149 | − | 0.370094i | ||||
\(447\) | −23.4186 | − | 1.24298i | −1.10766 | − | 0.0587908i | ||||
\(448\) | 79.9587 | − | 5.99208i | 3.77769 | − | 0.283099i | ||||
\(449\) | 12.0976 | + | 30.8242i | 0.570921 | + | 1.45468i | 0.866408 | + | 0.499336i | \(0.166423\pi\) |
−0.295487 | + | 0.955347i | \(0.595482\pi\) | |||||||
\(450\) | −2.28459 | − | 19.2141i | −0.107696 | − | 0.905760i | ||||
\(451\) | 3.98530 | + | 1.91922i | 0.187660 | + | 0.0903725i | ||||
\(452\) | 57.1312 | + | 27.5129i | 2.68722 | + | 1.29410i | ||||
\(453\) | −16.3993 | + | 21.5085i | −0.770507 | + | 1.01056i | ||||
\(454\) | 22.3788 | + | 57.0202i | 1.05029 | + | 2.67609i | ||||
\(455\) | 10.9183 | − | 0.818213i | 0.511858 | − | 0.0383584i | ||||
\(456\) | 0.855079 | − | 16.1103i | 0.0400427 | − | 0.754435i | ||||
\(457\) | 2.16465 | − | 0.494067i | 0.101258 | − | 0.0231115i | −0.171592 | − | 0.985168i | \(-0.554891\pi\) |
0.272850 | + | 0.962057i | \(0.412034\pi\) | |||||||
\(458\) | −45.0254 | − | 6.78649i | −2.10390 | − | 0.317112i | ||||
\(459\) | −2.11259 | − | 14.9783i | −0.0986074 | − | 0.699128i | ||||
\(460\) | 4.96078 | + | 16.0825i | 0.231298 | + | 0.749849i | ||||
\(461\) | 5.50374 | + | 0.412448i | 0.256335 | + | 0.0192096i | 0.202278 | − | 0.979328i | \(-0.435166\pi\) |
0.0540571 | + | 0.998538i | \(0.482785\pi\) | |||||||
\(462\) | 1.71877 | − | 13.3728i | 0.0799642 | − | 0.622157i | ||||
\(463\) | 3.09704 | − | 10.0404i | 0.143932 | − | 0.466615i | −0.854688 | − | 0.519142i | \(-0.826251\pi\) |
0.998619 | + | 0.0525271i | \(0.0167276\pi\) | |||||||
\(464\) | −7.60765 | + | 19.3840i | −0.353176 | + | 0.899879i | ||||
\(465\) | −3.05447 | + | 1.85332i | −0.141648 | + | 0.0859455i | ||||
\(466\) | 5.83803 | + | 10.1118i | 0.270441 | + | 0.468418i | ||||
\(467\) | −4.77930 | + | 8.27798i | −0.221159 | + | 0.383059i | −0.955160 | − | 0.296089i | \(-0.904317\pi\) |
0.734001 | + | 0.679149i | \(0.237651\pi\) | |||||||
\(468\) | −15.3089 | + | 15.4982i | −0.707654 | + | 0.716406i | ||||
\(469\) | −20.1410 | − | 16.0619i | −0.930026 | − | 0.741671i | ||||
\(470\) | −28.0215 | − | 41.1000i | −1.29254 | − | 1.89580i | ||||
\(471\) | −2.13682 | + | 5.81364i | −0.0984596 | + | 0.267878i | ||||
\(472\) | − | 65.6626i | − | 3.02237i | ||||||
\(473\) | 1.79184 | − | 3.56187i | 0.0823889 | − | 0.163775i | ||||
\(474\) | −23.3650 | − | 24.1069i | −1.07319 | − | 1.10727i | ||||
\(475\) | 1.17619 | + | 2.44238i | 0.0539671 | + | 0.112064i | ||||
\(476\) | −59.0472 | + | 40.2577i | −2.70642 | + | 1.84521i | ||||
\(477\) | 3.07183 | − | 3.61423i | 0.140650 | − | 0.165484i | ||||
\(478\) | −17.3869 | + | 18.7386i | −0.795259 | + | 0.857085i | ||||
\(479\) | −4.51035 | − | 2.60405i | −0.206083 | − | 0.118982i | 0.393407 | − | 0.919365i | \(-0.371297\pi\) |
−0.599490 | + | 0.800382i | \(0.704630\pi\) | |||||||
\(480\) | −11.5936 | + | 40.7121i | −0.529172 | + | 1.85825i | ||||
\(481\) | 11.8559 | + | 2.70604i | 0.540584 | + | 0.123385i | ||||
\(482\) | −29.6484 | − | 11.6361i | −1.35045 | − | 0.530011i | ||||
\(483\) | 7.71839 | + | 15.1732i | 0.351199 | + | 0.690404i | ||||
\(484\) | 33.9004 | + | 42.5098i | 1.54093 | + | 1.93226i | ||||
\(485\) | 0.307411 | − | 4.10211i | 0.0139588 | − | 0.186267i | ||||
\(486\) | −35.1329 | − | 22.2392i | −1.59366 | − | 1.00879i | ||||
\(487\) | 22.4759 | + | 15.3238i | 1.01848 | + | 0.694390i | 0.952846 | − | 0.303454i | \(-0.0981399\pi\) |
0.0656364 | + | 0.997844i | \(0.479092\pi\) | |||||||
\(488\) | −4.37123 | + | 29.0012i | −0.197876 | + | 1.31282i | ||||
\(489\) | 2.54450 | + | 1.65483i | 0.115066 | + | 0.0748339i | ||||
\(490\) | 50.3837 | − | 46.7492i | 2.27610 | − | 2.11191i | ||||
\(491\) | 1.66863 | + | 22.2663i | 0.0753040 | + | 1.00486i | 0.899034 | + | 0.437879i | \(0.144270\pi\) |
−0.823730 | + | 0.566983i | \(0.808111\pi\) | |||||||
\(492\) | −58.6608 | − | 26.6922i | −2.64463 | − | 1.20338i | ||||
\(493\) | −0.757206 | − | 5.02373i | −0.0341028 | − | 0.226258i | ||||
\(494\) | 1.84198 | − | 3.82492i | 0.0828748 | − | 0.172091i | ||||
\(495\) | 2.59978 | + | 1.35365i | 0.116851 | + | 0.0608419i | ||||
\(496\) | −15.1459 | + | 2.28288i | −0.680073 | + | 0.102504i | ||||
\(497\) | −12.1257 | + | 4.75897i | −0.543911 | + | 0.213469i | ||||
\(498\) | −52.0405 | − | 46.2194i | −2.33199 | − | 2.07114i | ||||
\(499\) | 11.4122 | + | 12.2995i | 0.510882 | + | 0.550600i | 0.934834 | − | 0.355085i | \(-0.115548\pi\) |
−0.423952 | + | 0.905685i | \(0.639358\pi\) | |||||||
\(500\) | −13.5664 | − | 59.4384i | −0.606709 | − | 2.65817i | ||||
\(501\) | −13.8253 | + | 9.87362i | −0.617671 | + | 0.441121i | ||||
\(502\) | 17.4365 | − | 25.5747i | 0.778231 | − | 1.14146i | ||||
\(503\) | 16.3545 | − | 5.04469i | 0.729210 | − | 0.224932i | 0.0921494 | − | 0.995745i | \(-0.470626\pi\) |
0.637061 | + | 0.770814i | \(0.280150\pi\) | |||||||
\(504\) | −12.6634 | + | 118.958i | −0.564075 | + | 5.29883i | ||||
\(505\) | 3.00019 | − | 2.39257i | 0.133507 | − | 0.106468i | ||||
\(506\) | 3.17367 | + | 0.978947i | 0.141087 | + | 0.0435195i | ||||
\(507\) | 17.5550 | − | 7.33480i | 0.779645 | − | 0.325750i | ||||
\(508\) | −18.1045 | + | 79.3209i | −0.803257 | + | 3.51930i | ||||
\(509\) | −11.3994 | + | 6.58142i | −0.505267 | + | 0.291716i | −0.730886 | − | 0.682499i | \(-0.760893\pi\) |
0.225619 | + | 0.974216i | \(0.427560\pi\) | |||||||
\(510\) | −5.26647 | − | 20.9595i | −0.233203 | − | 0.928103i | ||||
\(511\) | 13.1658 | + | 12.2161i | 0.582420 | + | 0.540407i | ||||
\(512\) | 10.4676 | − | 13.1259i | 0.462606 | − | 0.580089i | ||||
\(513\) | 5.66673 | + | 1.35004i | 0.250192 | + | 0.0596057i | ||||
\(514\) | −58.3386 | + | 28.0944i | −2.57320 | + | 1.23919i | ||||
\(515\) | −5.03631 | −0.221926 | ||||||||
\(516\) | −24.9711 | + | 52.4526i | −1.09929 | + | 2.30910i | ||||
\(517\) | −7.05686 | −0.310360 | ||||||||
\(518\) | 98.8023 | − | 47.5807i | 4.34112 | − | 2.09058i | ||||
\(519\) | −2.50363 | + | 12.1863i | −0.109897 | + | 0.534921i | ||||
\(520\) | −11.8171 | + | 14.8182i | −0.518215 | + | 0.649821i | ||||
\(521\) | −18.7336 | − | 17.3822i | −0.820733 | − | 0.761529i | 0.153241 | − | 0.988189i | \(-0.451029\pi\) |
−0.973974 | + | 0.226660i | \(0.927219\pi\) | |||||||
\(522\) | −11.8702 | − | 7.35716i | −0.519544 | − | 0.322014i | ||||
\(523\) | 24.7141 | − | 14.2687i | 1.08067 | − | 0.623927i | 0.149595 | − | 0.988747i | \(-0.452203\pi\) |
0.931078 | + | 0.364821i | \(0.118870\pi\) | |||||||
\(524\) | 8.60609 | − | 37.7057i | 0.375959 | − | 1.64718i | ||||
\(525\) | −7.74957 | − | 18.5477i | −0.338219 | − | 0.809488i | ||||
\(526\) | 31.1042 | + | 9.59438i | 1.35621 | + | 0.418335i | ||||
\(527\) | 2.92173 | − | 2.33000i | 0.127273 | − | 0.101496i | ||||
\(528\) | 8.04684 | + | 9.65162i | 0.350194 | + | 0.420033i | ||||
\(529\) | 17.9711 | − | 5.54334i | 0.781351 | − | 0.241015i | ||||
\(530\) | 3.81742 | − | 5.59913i | 0.165818 | − | 0.243211i | ||||
\(531\) | 23.3229 | + | 4.26461i | 1.01213 | + | 0.185068i | ||||
\(532\) | −6.12413 | − | 26.8316i | −0.265515 | − | 1.16330i | ||||
\(533\) | −7.02474 | − | 7.57087i | −0.304275 | − | 0.327931i | ||||
\(534\) | 21.8567 | − | 24.6095i | 0.945834 | − | 1.06496i | ||||
\(535\) | 9.39292 | − | 3.68645i | 0.406091 | − | 0.159379i | ||||
\(536\) | 44.0963 | − | 6.64645i | 1.90467 | − | 0.287083i | ||||
\(537\) | 9.27500 | + | 27.8973i | 0.400246 | + | 1.20386i | ||||
\(538\) | 9.86961 | − | 20.4944i | 0.425509 | − | 0.883578i | ||||
\(539\) | −1.45325 | − | 9.64168i | −0.0625959 | − | 0.415296i | ||||
\(540\) | −38.2992 | − | 18.8933i | −1.64814 | − | 0.813038i | ||||
\(541\) | 1.98887 | + | 26.5396i | 0.0855080 | + | 1.14102i | 0.860636 | + | 0.509221i | \(0.170066\pi\) |
−0.775128 | + | 0.631804i | \(0.782315\pi\) | |||||||
\(542\) | −31.9876 | + | 29.6802i | −1.37399 | + | 1.27487i | ||||
\(543\) | −10.7967 | + | 16.6012i | −0.463330 | + | 0.712425i | ||||
\(544\) | 6.59916 | − | 43.7826i | 0.282937 | − | 1.87716i | ||||
\(545\) | 9.50565 | + | 6.48084i | 0.407177 | + | 0.277609i | ||||
\(546\) | −15.1429 | + | 27.5990i | −0.648056 | + | 1.18113i | ||||
\(547\) | 1.35283 | − | 18.0523i | 0.0578428 | − | 0.771859i | −0.890575 | − | 0.454836i | \(-0.849698\pi\) |
0.948418 | − | 0.317023i | \(-0.102683\pi\) | |||||||
\(548\) | 59.5826 | + | 74.7142i | 2.54524 | + | 3.19163i | ||||
\(549\) | −10.0171 | − | 3.43618i | −0.427520 | − | 0.146652i | ||||
\(550\) | −3.65064 | − | 1.43277i | −0.155664 | − | 0.0610936i | ||||
\(551\) | 1.90747 | + | 0.435367i | 0.0812608 | + | 0.0185472i | ||||
\(552\) | −28.3419 | − | 8.07091i | −1.20631 | − | 0.343521i | ||||
\(553\) | −30.2042 | − | 17.4384i | −1.28441 | − | 0.741555i | ||||
\(554\) | −18.7652 | + | 20.2241i | −0.797259 | + | 0.859241i | ||||
\(555\) | 2.29872 | + | 23.7289i | 0.0975752 | + | 1.00723i | ||||
\(556\) | −14.2292 | + | 9.70127i | −0.603450 | + | 0.411426i | ||||
\(557\) | 8.32558 | + | 17.2883i | 0.352766 | + | 0.732527i | 0.999545 | − | 0.0301506i | \(-0.00959869\pi\) |
−0.646779 | + | 0.762677i | \(0.723884\pi\) | |||||||
\(558\) | 0.320997 | − | 10.2674i | 0.0135889 | − | 0.434653i | ||||
\(559\) | −6.93283 | + | 6.21310i | −0.293228 | + | 0.262786i | ||||
\(560\) | 92.0205i | 3.88858i | ||||||||
\(561\) | −2.87763 | − | 1.05768i | −0.121494 | − | 0.0446554i | ||||
\(562\) | −35.9461 | − | 52.7233i | −1.51630 | − | 2.22400i | ||||
\(563\) | 21.3513 | + | 17.0271i | 0.899851 | + | 0.717607i | 0.959827 | − | 0.280592i | \(-0.0905309\pi\) |
−0.0599758 | + | 0.998200i | \(0.519102\pi\) | |||||||
\(564\) | 102.794 | − | 2.23850i | 4.32841 | − | 0.0942580i | ||||
\(565\) | −9.96040 | + | 17.2519i | −0.419037 | + | 0.725793i | ||||
\(566\) | −41.2100 | − | 71.3778i | −1.73219 | − | 3.00023i | ||||
\(567\) | −41.4306 | − | 12.2240i | −1.73992 | − | 0.513359i | ||||
\(568\) | 8.23806 | − | 20.9902i | 0.345661 | − | 0.880731i | ||||
\(569\) | 9.53563 | − | 30.9137i | 0.399754 | − | 1.29597i | −0.502429 | − | 0.864619i | \(-0.667560\pi\) |
0.902183 | − | 0.431353i | \(-0.141964\pi\) | |||||||
\(570\) | 8.25463 | + | 1.06095i | 0.345748 | + | 0.0444381i | ||||
\(571\) | −19.7112 | − | 1.47715i | −0.824889 | − | 0.0618169i | −0.344406 | − | 0.938821i | \(-0.611920\pi\) |
−0.480483 | + | 0.877004i | \(0.659539\pi\) | |||||||
\(572\) | 1.30142 | + | 4.21909i | 0.0544150 | + | 0.176409i | ||||
\(573\) | 3.63051 | + | 20.9771i | 0.151667 | + | 0.876331i | ||||
\(574\) | −92.0932 | − | 13.8808i | −3.84390 | − | 0.579374i | ||||
\(575\) | 4.82748 | − | 1.10184i | 0.201320 | − | 0.0459500i | ||||
\(576\) | −32.9246 | − | 37.7868i | −1.37186 | − | 1.57445i | ||||
\(577\) | 23.8118 | − | 1.78445i | 0.991300 | − | 0.0742877i | 0.430805 | − | 0.902445i | \(-0.358230\pi\) |
0.560495 | + | 0.828158i | \(0.310611\pi\) | |||||||
\(578\) | −8.30802 | − | 21.1685i | −0.345568 | − | 0.880493i | ||||
\(579\) | −27.7083 | − | 21.1264i | −1.15152 | − | 0.877983i | ||||
\(580\) | −12.9229 | − | 6.22336i | −0.536596 | − | 0.258411i | ||||
\(581\) | −65.1469 | − | 31.3731i | −2.70275 | − | 1.30157i | ||||
\(582\) | 9.40546 | + | 7.17124i | 0.389869 | + | 0.297258i | ||||
\(583\) | −0.351228 | − | 0.894914i | −0.0145464 | − | 0.0370635i | ||||
\(584\) | −31.0033 | + | 2.32337i | −1.28292 | + | 0.0961419i | ||||
\(585\) | −4.49582 | − | 5.15976i | −0.185879 | − | 0.213330i | ||||
\(586\) | 70.6198 | − | 16.1185i | 2.91728 | − | 0.665849i | ||||
\(587\) | 13.0905 | + | 1.97307i | 0.540302 | + | 0.0814374i | 0.413523 | − | 0.910494i | \(-0.364298\pi\) |
0.126779 | + | 0.991931i | \(0.459536\pi\) | |||||||
\(588\) | 24.2273 | + | 139.985i | 0.999115 | + | 5.77288i | ||||
\(589\) | 0.424197 | + | 1.37521i | 0.0174787 | + | 0.0566647i | ||||
\(590\) | 33.7787 | + | 2.53136i | 1.39065 | + | 0.104214i | ||||
\(591\) | 33.4580 | + | 4.30027i | 1.37628 | + | 0.176890i | ||||
\(592\) | −30.1258 | + | 97.6653i | −1.23816 | + | 4.01402i | ||||
\(593\) | 4.36051 | − | 11.1104i | 0.179065 | − | 0.456250i | −0.812956 | − | 0.582325i | \(-0.802143\pi\) |
0.992021 | + | 0.126076i | \(0.0402382\pi\) | |||||||
\(594\) | −7.33800 | + | 4.14434i | −0.301082 | + | 0.170044i | ||||
\(595\) | −11.2255 | − | 19.4432i | −0.460202 | − | 0.797094i | ||||
\(596\) | 34.6268 | − | 59.9754i | 1.41837 | − | 2.45669i | ||||
\(597\) | 43.5555 | − | 0.948489i | 1.78261 | − | 0.0388191i | ||||
\(598\) | −6.06277 | − | 4.83490i | −0.247925 | − | 0.197714i | ||||
\(599\) | 22.5917 | + | 33.1360i | 0.923072 | + | 1.35390i | 0.935256 | + | 0.353973i | \(0.115169\pi\) |
−0.0121835 | + | 0.999926i | \(0.503878\pi\) | |||||||
\(600\) | 32.6607 | + | 12.0045i | 1.33337 | + | 0.490083i | ||||
\(601\) | − | 5.41526i | − | 0.220893i | −0.993882 | − | 0.110446i | \(-0.964772\pi\) | ||
0.993882 | − | 0.110446i | \(-0.0352281\pi\) | |||||||
\(602\) | −13.9458 | + | 82.7836i | −0.568389 | + | 3.37401i | ||||
\(603\) | −0.503169 | + | 16.0943i | −0.0204906 | + | 0.655412i | ||||
\(604\) | −34.6551 | − | 71.9620i | −1.41010 | − | 2.92809i | ||||
\(605\) | −14.1132 | + | 9.62220i | −0.573782 | + | 0.391198i | ||||
\(606\) | 1.06386 | + | 10.9819i | 0.0432163 | + | 0.446107i | ||||
\(607\) | 11.0591 | − | 11.9189i | 0.448877 | − | 0.483774i | −0.467555 | − | 0.883964i | \(-0.654865\pi\) |
0.916432 | + | 0.400189i | \(0.131056\pi\) | |||||||
\(608\) | 14.7669 | + | 8.52568i | 0.598877 | + | 0.345762i | ||||
\(609\) | −13.9534 | − | 3.97350i | −0.565420 | − | 0.161014i | ||||
\(610\) | −14.7505 | − | 3.36671i | −0.597230 | − | 0.136314i | ||||
\(611\) | 15.3378 | + | 6.01964i | 0.620500 | + | 0.243528i | ||||
\(612\) | 42.2526 | + | 14.4940i | 1.70796 | + | 0.585884i | ||||
\(613\) | −23.4657 | − | 29.4251i | −0.947771 | − | 1.18847i | −0.981967 | − | 0.189052i | \(-0.939458\pi\) |
0.0341958 | − | 0.999415i | \(-0.489113\pi\) | |||||||
\(614\) | 1.58375 | − | 21.1337i | 0.0639149 | − | 0.852885i | ||||
\(615\) | 9.73920 | − | 17.7504i | 0.392722 | − | 0.715765i | ||||
\(616\) | 20.0336 | + | 13.6586i | 0.807175 | + | 0.550322i | ||||
\(617\) | 0.607729 | − | 4.03202i | 0.0244663 | − | 0.162323i | −0.973261 | − | 0.229701i | \(-0.926225\pi\) |
0.997728 | + | 0.0673779i | \(0.0214633\pi\) | |||||||
\(618\) | 7.89470 | − | 12.1390i | 0.317571 | − | 0.488304i | ||||
\(619\) | −21.0482 | + | 19.5299i | −0.845998 | + | 0.784971i | −0.978508 | − | 0.206211i | \(-0.933887\pi\) |
0.132510 | + | 0.991182i | \(0.457696\pi\) | |||||||
\(620\) | −0.788441 | − | 10.5210i | −0.0316645 | − | 0.422534i | ||||
\(621\) | 4.70746 | − | 9.54264i | 0.188904 | − | 0.382933i | ||||
\(622\) | 10.6731 | + | 70.8111i | 0.427951 | + | 2.83927i | ||||
\(623\) | 14.8361 | − | 30.8074i | 0.594394 | − | 1.23427i | ||||
\(624\) | −9.25643 | − | 27.8415i | −0.370554 | − | 1.11455i | ||||
\(625\) | 6.98393 | − | 1.05266i | 0.279357 | − | 0.0421064i | ||||
\(626\) | −41.7768 | + | 16.3962i | −1.66973 | + | 0.655323i | ||||
\(627\) | 0.784030 | − | 0.882775i | 0.0313112 | − | 0.0352547i | ||||
\(628\) | −12.4410 | − | 13.4082i | −0.496448 | − | 0.535044i | ||||
\(629\) | −5.54881 | − | 24.3109i | −0.221246 | − | 0.969340i | ||||
\(630\) | −60.7073 | − | 11.1004i | −2.41864 | − | 0.442250i | ||||
\(631\) | −1.06455 | + | 1.56140i | −0.0423789 | + | 0.0621585i | −0.846843 | − | 0.531842i | \(-0.821500\pi\) |
0.804465 | + | 0.594001i | \(0.202452\pi\) | |||||||
\(632\) | 57.6915 | − | 17.7955i | 2.29484 | − | 0.707865i | ||||
\(633\) | −6.20825 | − | 7.44636i | −0.246756 | − | 0.295966i | ||||
\(634\) | 4.16952 | − | 3.32508i | 0.165593 | − | 0.132056i | ||||
\(635\) | −24.4243 | − | 7.53390i | −0.969249 | − | 0.298974i | ||||
\(636\) | 5.40005 | + | 12.9244i | 0.214126 | + | 0.512486i | ||||
\(637\) | −5.06596 | + | 22.1954i | −0.200721 | + | 0.879415i | ||||
\(638\) | −2.45127 | + | 1.41524i | −0.0970466 | + | 0.0560299i | ||||
\(639\) | 6.92053 | + | 4.28936i | 0.273772 | + | 0.169684i | ||||
\(640\) | −16.6580 | − | 15.4563i | −0.658464 | − | 0.610965i | ||||
\(641\) | 16.9681 | − | 21.2773i | 0.670198 | − | 0.840402i | −0.324213 | − | 0.945984i | \(-0.605099\pi\) |
0.994411 | + | 0.105583i | \(0.0336708\pi\) | |||||||
\(642\) | −5.83846 | + | 28.4185i | −0.230426 | + | 1.12159i | ||||
\(643\) | −3.06825 | + | 1.47759i | −0.121000 | + | 0.0582706i | −0.493404 | − | 0.869800i | \(-0.664248\pi\) |
0.372404 | + | 0.928071i | \(0.378533\pi\) | |||||||
\(644\) | −50.2712 | −1.98096 | ||||||||
\(645\) | −15.8459 | − | 9.05425i | −0.623932 | − | 0.356511i | ||||
\(646\) | −8.70520 | −0.342502 | ||||||||
\(647\) | −36.0417 | + | 17.3568i | −1.41695 | + | 0.682365i | −0.976521 | − | 0.215424i | \(-0.930887\pi\) |
−0.440426 | + | 0.897789i | \(0.645173\pi\) | |||||||
\(648\) | 64.2929 | − | 38.1809i | 2.52566 | − | 1.49989i | ||||
\(649\) | 2.99615 | − | 3.75705i | 0.117609 | − | 0.147477i | ||||
\(650\) | 6.71234 | + | 6.22814i | 0.263279 | + | 0.244288i | ||||
\(651\) | −2.60062 | − | 10.3500i | −0.101927 | − | 0.405647i | ||||
\(652\) | −7.76246 | + | 4.48166i | −0.304002 | + | 0.175515i | ||||
\(653\) | 4.11898 | − | 18.0464i | 0.161188 | − | 0.706212i | −0.828142 | − | 0.560519i | \(-0.810602\pi\) |
0.989330 | − | 0.145693i | \(-0.0465411\pi\) | |||||||
\(654\) | −30.5214 | + | 12.7524i | −1.19348 | + | 0.498659i | ||||
\(655\) | 11.6103 | + | 3.58129i | 0.453650 | + | 0.139933i | ||||
\(656\) | 67.8638 | − | 54.1196i | 2.64964 | − | 2.11301i | ||||
\(657\) | 1.18834 | − | 11.1630i | 0.0463614 | − | 0.435511i | ||||
\(658\) | 141.981 | − | 43.7953i | 5.53499 | − | 1.70732i | ||||
\(659\) | 15.9668 | − | 23.4190i | 0.621979 | − | 0.912276i | −0.377929 | − | 0.925835i | \(-0.623364\pi\) |
0.999908 | + | 0.0135585i | \(0.00431595\pi\) | |||||||
\(660\) | −7.04375 | + | 5.03042i | −0.274178 | + | 0.195809i | ||||
\(661\) | −0.527074 | − | 2.30926i | −0.0205008 | − | 0.0898198i | 0.963643 | − | 0.267195i | \(-0.0860967\pi\) |
−0.984143 | + | 0.177375i | \(0.943240\pi\) | |||||||
\(662\) | 43.6132 | + | 47.0038i | 1.69507 | + | 1.82685i | ||||
\(663\) | 5.35218 | + | 4.75350i | 0.207861 | + | 0.184611i | ||||
\(664\) | 116.516 | − | 45.7292i | 4.52170 | − | 1.77464i | ||||
\(665\) | 8.54947 | − | 1.28862i | 0.331534 | − | 0.0499707i | ||||
\(666\) | −60.7972 | − | 31.6557i | −2.35584 | − | 1.22663i | ||||
\(667\) | 1.55061 | − | 3.21988i | 0.0600400 | − | 0.124674i | ||||
\(668\) | −7.47738 | − | 49.6092i | −0.289308 | − | 1.91944i | ||||
\(669\) | −20.7599 | − | 9.44629i | −0.802624 | − | 0.365215i | ||||
\(670\) | 1.71916 | + | 22.9406i | 0.0664169 | + | 0.886272i | ||||
\(671\) | −1.57342 | + | 1.45992i | −0.0607412 | + | 0.0563596i | ||||
\(672\) | −105.996 | − | 68.9350i | −4.08888 | − | 2.65923i | ||||
\(673\) | 3.95997 | − | 26.2727i | 0.152646 | − | 1.01274i | −0.773016 | − | 0.634386i | \(-0.781253\pi\) |
0.925662 | − | 0.378352i | \(-0.123509\pi\) | |||||||
\(674\) | −8.29773 | − | 5.65730i | −0.319617 | − | 0.217911i | ||||
\(675\) | −6.38514 | + | 10.8212i | −0.245764 | + | 0.416507i | ||||
\(676\) | −4.19862 | + | 56.0267i | −0.161485 | + | 2.15487i | ||||
\(677\) | −15.2345 | − | 19.1035i | −0.585510 | − | 0.734206i | 0.397532 | − | 0.917588i | \(-0.369867\pi\) |
−0.983042 | + | 0.183382i | \(0.941295\pi\) | |||||||
\(678\) | −25.9689 | − | 51.0509i | −0.997328 | − | 1.96060i | ||||
\(679\) | 11.4379 | + | 4.48903i | 0.438945 | + | 0.172273i | ||||
\(680\) | 37.8897 | + | 8.64808i | 1.45300 | + | 0.331639i | ||||
\(681\) | 10.8938 | − | 38.2547i | 0.417451 | − | 1.46592i | ||||
\(682\) | −1.80307 | − | 1.04100i | −0.0690432 | − | 0.0398621i | ||||
\(683\) | 7.03713 | − | 7.58422i | 0.269268 | − | 0.290202i | −0.583914 | − | 0.811816i | \(-0.698479\pi\) |
0.853182 | + | 0.521614i | \(0.174670\pi\) | |||||||
\(684\) | −11.1406 | + | 13.1077i | −0.425971 | + | 0.501185i | ||||
\(685\) | −24.8050 | + | 16.9117i | −0.947750 | + | 0.646165i | ||||
\(686\) | 50.1927 | + | 104.226i | 1.91637 | + | 3.97938i | ||||
\(687\) | 20.5781 | + | 21.2315i | 0.785104 | + | 0.810033i | ||||
\(688\) | −47.7179 | − | 62.0066i | −1.81923 | − | 2.36398i | ||||
\(689\) | 2.24466i | 0.0855148i | ||||||||
\(690\) | 5.24451 | − | 14.2687i | 0.199655 | − | 0.543200i | ||||
\(691\) | −21.7028 | − | 31.8322i | −0.825614 | − | 1.21095i | −0.975007 | − | 0.222175i | \(-0.928684\pi\) |
0.149393 | − | 0.988778i | \(-0.452268\pi\) | |||||||
\(692\) | −28.7233 | − | 22.9061i | −1.09190 | − | 0.870757i | ||||
\(693\) | −6.15257 | + | 6.22867i | −0.233717 | + | 0.236608i | ||||
\(694\) | 17.6859 | − | 30.6329i | 0.671348 | − | 1.16281i | ||||
\(695\) | −2.70512 | − | 4.68541i | −0.102611 | − | 0.177728i | ||||
\(696\) | 21.4712 | − | 13.0277i | 0.813862 | − | 0.493815i | ||||
\(697\) | −7.73706 | + | 19.7137i | −0.293062 | + | 0.746710i | ||||
\(698\) | −6.54890 | + | 21.2310i | −0.247880 | + | 0.803606i | ||||
\(699\) | 0.966523 | − | 7.51998i | 0.0365573 | − | 0.284432i | ||||
\(700\) | 59.1949 | + | 4.43604i | 2.23736 | + | 0.167667i | ||||
\(701\) | 8.26097 | + | 26.7814i | 0.312012 | + | 1.01152i | 0.966763 | + | 0.255674i | \(0.0822975\pi\) |
−0.654751 | + | 0.755845i | \(0.727226\pi\) | |||||||
\(702\) | 19.4840 | − | 2.74810i | 0.735377 | − | 0.103720i | ||||
\(703\) | 9.49579 | + | 1.43126i | 0.358140 | + | 0.0539810i | ||||
\(704\) | −9.90334 | + | 2.26037i | −0.373246 | + | 0.0851910i | ||||
\(705\) | −1.71201 | + | 32.2555i | −0.0644779 | + | 1.21481i | ||||
\(706\) | −48.0495 | + | 3.60081i | −1.80837 | + | 0.135518i | ||||
\(707\) | 4.18759 | + | 10.6698i | 0.157491 | + | 0.401279i | ||||
\(708\) | −42.4518 | + | 55.6777i | −1.59544 | + | 2.09250i | ||||
\(709\) | −0.382413 | − | 0.184161i | −0.0143618 | − | 0.00691629i | 0.426689 | − | 0.904398i | \(-0.359680\pi\) |
−0.441051 | + | 0.897482i | \(0.645394\pi\) | |||||||
\(710\) | 10.4804 | + | 5.04708i | 0.393321 | + | 0.189414i | ||||
\(711\) | 2.57391 | + | 21.6473i | 0.0965290 | + | 0.811839i | ||||
\(712\) | 21.6250 | + | 55.0995i | 0.810429 | + | 2.06494i | ||||
\(713\) | 2.62142 | − | 0.196448i | 0.0981728 | − | 0.00735703i | ||||
\(714\) | 64.4607 | + | 3.42134i | 2.41238 | + | 0.128041i | ||||
\(715\) | −1.35229 | + | 0.308652i | −0.0505729 | + | 0.0115429i | ||||
\(716\) | −85.8463 | − | 12.9392i | −3.20822 | − | 0.483562i | ||||
\(717\) | 16.3558 | − | 2.83071i | 0.610820 | − | 0.105715i | ||||
\(718\) | 20.7253 | + | 67.1897i | 0.773460 | + | 2.50750i | ||||
\(719\) | −1.89919 | − | 0.142325i | −0.0708278 | − | 0.00530781i | 0.0392690 | − | 0.999229i | \(-0.487497\pi\) |
−0.110097 | + | 0.993921i | \(0.535116\pi\) | |||||||
\(720\) | 46.0678 | − | 34.4390i | 1.71685 | − | 1.28346i | ||||
\(721\) | 4.43409 | − | 14.3750i | 0.165134 | − | 0.535351i | ||||
\(722\) | −17.2907 | + | 44.0559i | −0.643492 | + | 1.63959i | ||||
\(723\) | 10.7284 | + | 17.6816i | 0.398993 | + | 0.657585i | ||||
\(724\) | −29.2399 | − | 50.6450i | −1.08669 | − | 1.88221i | ||||
\(725\) | −2.10999 | + | 3.65461i | −0.0783631 | + | 0.135729i | ||||
\(726\) | −1.06924 | − | 49.1004i | −0.0396831 | − | 1.82229i | ||||
\(727\) | −5.67824 | − | 4.52825i | −0.210594 | − | 0.167943i | 0.512512 | − | 0.858680i | \(-0.328715\pi\) |
−0.723106 | + | 0.690737i | \(0.757286\pi\) | |||||||
\(728\) | −31.8910 | − | 46.7755i | −1.18196 | − | 1.73361i | ||||
\(729\) | 9.38591 | + | 25.3161i | 0.347626 | + | 0.937633i | ||||
\(730\) | − | 16.0385i | − | 0.593612i | ||||||
\(731\) | 17.6466 | + | 7.28041i | 0.652682 | + | 0.269276i | ||||
\(732\) | 22.4562 | − | 21.7651i | 0.830005 | − | 0.804461i | ||||
\(733\) | 19.8910 | + | 41.3041i | 0.734690 | + | 1.52560i | 0.846804 | + | 0.531905i | \(0.178524\pi\) |
−0.112114 | + | 0.993695i | \(0.535762\pi\) | |||||||
\(734\) | 30.5442 | − | 20.8247i | 1.12741 | − | 0.768654i | ||||
\(735\) | −44.4227 | + | 4.30342i | −1.63856 | + | 0.158734i | ||||
\(736\) | 21.1848 | − | 22.8317i | 0.780881 | − | 0.841589i | ||||
\(737\) | 2.82635 | + | 1.63180i | 0.104110 | + | 0.0601080i | ||||
\(738\) | 27.5171 | + | 51.2991i | 1.01292 | + | 1.88835i | ||||
\(739\) | −47.4534 | − | 10.8309i | −1.74560 | − | 0.398422i | −0.773652 | − | 0.633611i | \(-0.781572\pi\) |
−0.971950 | + | 0.235189i | \(0.924429\pi\) | |||||||
\(740\) | −65.5340 | − | 25.7202i | −2.40908 | − | 0.945493i | ||||
\(741\) | −2.45708 | + | 1.24988i | −0.0902631 | + | 0.0459156i | ||||
\(742\) | 12.6204 | + | 15.8255i | 0.463311 | + | 0.580974i | ||||
\(743\) | 0.136955 | − | 1.82754i | 0.00502441 | − | 0.0670461i | −0.994128 | − | 0.108211i | \(-0.965488\pi\) |
0.999152 | + | 0.0411648i | \(0.0131069\pi\) | |||||||
\(744\) | 16.1957 | + | 8.88616i | 0.593762 | + | 0.325783i | ||||
\(745\) | 17.9759 | + | 12.2558i | 0.658587 | + | 0.449017i | ||||
\(746\) | 4.72424 | − | 31.3433i | 0.172967 | − | 1.14756i | ||||
\(747\) | 8.67526 | + | 44.3556i | 0.317411 | + | 1.62289i | ||||
\(748\) | 6.63676 | − | 6.15801i | 0.242664 | − | 0.225159i | ||||
\(749\) | 2.25235 | + | 30.0555i | 0.0822990 | + | 1.09820i | ||||
\(750\) | −22.8076 | + | 50.1238i | −0.832818 | + | 1.83026i | ||||
\(751\) | −2.25285 | − | 14.9467i | −0.0822075 | − | 0.545411i | −0.991587 | − | 0.129443i | \(-0.958681\pi\) |
0.909379 | − | 0.415968i | \(-0.136557\pi\) | |||||||
\(752\) | −60.0840 | + | 124.766i | −2.19104 | + | 4.54974i | ||||
\(753\) | −19.0729 | + | 6.34116i | −0.695056 | + | 0.231085i | ||||
\(754\) | 6.53495 | − | 0.984986i | 0.237989 | − | 0.0358711i | ||||
\(755\) | 23.3576 | − | 9.16717i | 0.850069 | − | 0.333627i | ||||
\(756\) | 87.6460 | − | 92.6819i | 3.18765 | − | 3.37081i | ||||
\(757\) | −4.04415 | − | 4.35855i | −0.146987 | − | 0.158414i | 0.655267 | − | 0.755398i | \(-0.272556\pi\) |
−0.802254 | + | 0.596983i | \(0.796366\pi\) | |||||||
\(758\) | −1.26589 | − | 5.54621i | −0.0459791 | − | 0.201448i | ||||
\(759\) | −1.25338 | − | 1.75502i | −0.0454948 | − | 0.0637033i | ||||
\(760\) | −8.43109 | + | 12.3661i | −0.305828 | + | 0.448567i | ||||
\(761\) | −5.09559 | + | 1.57178i | −0.184715 | + | 0.0569770i | −0.385733 | − | 0.922611i | \(-0.626051\pi\) |
0.201018 | + | 0.979588i | \(0.435575\pi\) | |||||||
\(762\) | 56.4455 | − | 47.0602i | 2.04480 | − | 1.70481i | ||||
\(763\) | −26.8670 | + | 21.4257i | −0.972652 | + | 0.775664i | ||||
\(764\) | −60.0742 | − | 18.5305i | −2.17341 | − | 0.670408i | ||||
\(765\) | −5.53257 | + | 12.8965i | −0.200030 | + | 0.466273i | ||||
\(766\) | −5.83438 | + | 25.5621i | −0.210805 | + | 0.923595i | ||||
\(767\) | −9.71684 | + | 5.61002i | −0.350855 | + | 0.202566i | ||||
\(768\) | 7.23953 | − | 1.81907i | 0.261234 | − | 0.0656400i | ||||
\(769\) | 31.1460 | + | 28.8993i | 1.12315 | + | 1.04214i | 0.998754 | + | 0.0499030i | \(0.0158912\pi\) |
0.124400 | + | 0.992232i | \(0.460299\pi\) | |||||||
\(770\) | −7.79870 | + | 9.77926i | −0.281046 | + | 0.352420i | ||||
\(771\) | 41.1858 | + | 8.46144i | 1.48327 | + | 0.304731i | ||||
\(772\) | 92.7050 | − | 44.6444i | 3.33653 | − | 1.60679i | ||||
\(773\) | 40.9009 | 1.47110 | 0.735551 | − | 0.677469i | \(-0.236923\pi\) | ||||
0.735551 | + | 0.677469i | \(0.236923\pi\) | |||||||
\(774\) | 46.6628 | − | 24.0004i | 1.67726 | − | 0.862676i | ||||
\(775\) | −3.10408 | −0.111502 | ||||||||
\(776\) | −19.1635 | + | 9.22867i | −0.687930 | + | 0.331290i | ||||
\(777\) | −69.7523 | − | 14.3303i | −2.50235 | − | 0.514097i | ||||
\(778\) | −43.8248 | + | 54.9546i | −1.57119 | + | 1.97022i | ||||
\(779\) | −5.97850 | − | 5.54724i | −0.214202 | − | 0.198750i | ||||
\(780\) | 19.6003 | − | 4.92496i | 0.701805 | − | 0.176342i | ||||
\(781\) | 1.42913 | − | 0.825111i | 0.0511384 | − | 0.0295248i | ||||
\(782\) | −3.53831 | + | 15.5023i | −0.126530 | + | 0.554362i | ||||
\(783\) | 3.23286 | + | 8.47251i | 0.115533 | + | 0.302783i | ||||
\(784\) | −182.839 | − | 56.3983i | −6.52996 | − | 2.01423i | ||||
\(785\) | 4.49253 | − | 3.58267i | 0.160345 | − | 0.127871i | ||||
\(786\) | −26.8317 | + | 22.3704i | −0.957056 | + | 0.797925i | ||||
\(787\) | −9.61457 | + | 2.96570i | −0.342722 | + | 0.105716i | −0.461338 | − | 0.887224i | \(-0.652631\pi\) |
0.118616 | + | 0.992940i | \(0.462154\pi\) | |||||||
\(788\) | −56.1156 | + | 82.3065i | −1.99904 | + | 2.93205i | ||||
\(789\) | −12.2840 | − | 17.2005i | −0.437323 | − | 0.612353i | ||||
\(790\) | 6.93041 | + | 30.3641i | 0.246573 | + | 1.08031i | ||||
\(791\) | −40.4721 | − | 43.6186i | −1.43902 | − | 1.55090i | ||||
\(792\) | −0.659755 | − | 15.1411i | −0.0234434 | − | 0.538015i | ||||
\(793\) | 4.66510 | − | 1.83092i | 0.165663 | − | 0.0650178i | ||||
\(794\) | −58.2855 | + | 8.78513i | −2.06848 | + | 0.311773i | ||||
\(795\) | −4.17568 | + | 1.38828i | −0.148096 | + | 0.0492374i | ||||
\(796\) | −55.8200 | + | 115.911i | −1.97849 | + | 4.10837i | ||||
\(797\) | −0.350504 | − | 2.32544i | −0.0124155 | − | 0.0823713i | 0.981765 | − | 0.190099i | \(-0.0608808\pi\) |
−0.994180 | + | 0.107727i | \(0.965643\pi\) | |||||||
\(798\) | −10.2958 | + | 22.6268i | −0.364467 | + | 0.800980i | ||||
\(799\) | −2.52484 | − | 33.6916i | −0.0893224 | − | 1.19192i | ||||
\(800\) | −26.9600 | + | 25.0152i | −0.953180 | + | 0.884422i | ||||
\(801\) | −20.9754 | + | 4.10245i | −0.741129 | + | 0.144953i | ||||
\(802\) | −5.17928 | + | 34.3623i | −0.182887 | + | 1.21337i | ||||
\(803\) | −1.87994 | − | 1.28172i | −0.0663418 | − | 0.0452311i | ||||
\(804\) | −41.6878 | − | 22.8731i | −1.47022 | − | 0.806672i | ||||
\(805\) | 1.18021 | − | 15.7488i | 0.0415968 | − | 0.555071i | ||||
\(806\) | 3.03090 | + | 3.80063i | 0.106759 | + | 0.133872i | ||||
\(807\) | −13.1654 | + | 6.69704i | −0.463443 | + | 0.235747i | ||||
\(808\) | −18.4701 | − | 7.24896i | −0.649774 | − | 0.255018i | ||||
\(809\) | −36.8747 | − | 8.41642i | −1.29645 | − | 0.295906i | −0.482014 | − | 0.876163i | \(-0.660095\pi\) |
−0.814433 | + | 0.580258i | \(0.802952\pi\) | |||||||
\(810\) | 17.1627 | + | 34.5460i | 0.603037 | + | 1.21382i | ||||
\(811\) | −14.7944 | − | 8.54157i | −0.519503 | − | 0.299935i | 0.217228 | − | 0.976121i | \(-0.430298\pi\) |
−0.736731 | + | 0.676186i | \(0.763632\pi\) | |||||||
\(812\) | 29.1408 | − | 31.4063i | 1.02264 | − | 1.10214i | ||||
\(813\) | 28.2031 | − | 2.73216i | 0.989127 | − | 0.0958209i | ||||
\(814\) | −11.4786 | + | 7.82600i | −0.402326 | + | 0.274301i | ||||
\(815\) | −1.22176 | − | 2.53701i | −0.0427964 | − | 0.0888675i | ||||
\(816\) | −43.2008 | + | 41.8713i | −1.51233 | + | 1.46579i | ||||
\(817\) | −5.09270 | + | 5.30171i | −0.178171 | + | 0.185483i | ||||
\(818\) | − | 27.6319i | − | 0.966128i | ||||||
\(819\) | 18.6855 | − | 8.28949i | 0.652925 | − | 0.289658i | ||||
\(820\) | 33.6806 | + | 49.4003i | 1.17618 | + | 1.72513i | ||||
\(821\) | 18.2619 | + | 14.5634i | 0.637345 | + | 0.508265i | 0.888019 | − | 0.459806i | \(-0.152081\pi\) |
−0.250675 | + | 0.968071i | \(0.580652\pi\) | |||||||
\(822\) | −1.87927 | − | 86.2976i | −0.0655469 | − | 3.00998i | ||||
\(823\) | −20.3035 | + | 35.1667i | −0.707736 | + | 1.22583i | 0.257959 | + | 0.966156i | \(0.416950\pi\) |
−0.965695 | + | 0.259679i | \(0.916383\pi\) | |||||||
\(824\) | 13.0204 | + | 22.5520i | 0.453587 | + | 0.785636i | ||||
\(825\) | 1.32100 | + | 2.17716i | 0.0459914 | + | 0.0757989i | ||||
\(826\) | −36.9647 | + | 94.1845i | −1.28617 | + | 3.27710i | ||||
\(827\) | 14.0784 | − | 45.6410i | 0.489554 | − | 1.58709i | −0.287579 | − | 0.957757i | \(-0.592850\pi\) |
0.777132 | − | 0.629337i | \(-0.216673\pi\) | |||||||
\(828\) | 18.8141 | + | 25.1670i | 0.653837 | + | 0.874615i | ||||
\(829\) | 10.0702 | + | 0.754657i | 0.349752 | + | 0.0262103i | 0.248448 | − | 0.968645i | \(-0.420079\pi\) |
0.101304 | + | 0.994856i | \(0.467698\pi\) | |||||||
\(830\) | 19.0326 | + | 61.7020i | 0.660630 | + | 2.14171i | ||||
\(831\) | 17.6524 | − | 3.05511i | 0.612356 | − | 0.105981i | ||||
\(832\) | 23.4526 | + | 3.53491i | 0.813074 | + | 0.122551i | ||||
\(833\) | 45.5124 | − | 10.3879i | 1.57691 | − | 0.359920i | ||||
\(834\) | 15.5337 | + | 0.824473i | 0.537887 | + | 0.0285492i | ||||
\(835\) | 15.7169 | − | 1.17782i | 0.543906 | − | 0.0407601i | ||||
\(836\) | 1.27379 | + | 3.24558i | 0.0440551 | + | 0.112251i | ||||
\(837\) | −4.20816 | + | 5.17545i | −0.145455 | + | 0.178890i | ||||
\(838\) | 52.6322 | + | 25.3463i | 1.81815 | + | 0.875575i | ||||
\(839\) | 29.7889 | + | 14.3456i | 1.02843 | + | 0.495264i | 0.870491 | − | 0.492185i | \(-0.163802\pi\) |
0.157936 | + | 0.987449i | \(0.449516\pi\) | |||||||
\(840\) | 67.2911 | − | 88.2557i | 2.32176 | − | 3.04511i | ||||
\(841\) | −9.48216 | − | 24.1601i | −0.326971 | − | 0.833108i | ||||
\(842\) | 49.2876 | − | 3.69359i | 1.69856 | − | 0.127290i | ||||
\(843\) | −2.19617 | + | 41.3775i | −0.0756402 | + | 1.42512i | ||||
\(844\) | 27.9116 | − | 6.37065i | 0.960758 | − | 0.219287i | ||||
\(845\) | −17.4532 | − | 2.63065i | −0.600410 | − | 0.0904972i | ||||
\(846\) | −75.0619 | − | 54.6887i | −2.58068 | − | 1.88024i | ||||
\(847\) | −15.0387 | − | 48.7543i | −0.516737 | − | 1.67522i | ||||
\(848\) | −18.8126 | − | 1.40981i | −0.646027 | − | 0.0484130i | ||||
\(849\) | −6.82258 | + | 53.0827i | −0.234150 | + | 1.82180i | ||||
\(850\) | 5.53435 | − | 17.9419i | 0.189827 | − | 0.615403i | ||||
\(851\) | 6.40845 | − | 16.3285i | 0.219679 | − | 0.559732i | ||||
\(852\) | −20.5558 | + | 12.4724i | −0.704231 | + | 0.427296i | ||||
\(853\) | −19.1151 | − | 33.1082i | −0.654487 | − | 1.13360i | −0.982022 | − | 0.188766i | \(-0.939551\pi\) |
0.327535 | − | 0.944839i | \(-0.393782\pi\) | |||||||
\(854\) | 22.5962 | − | 39.1377i | 0.773225 | − | 1.33926i | ||||
\(855\) | −3.84478 | − | 3.79781i | −0.131489 | − | 0.129882i | ||||
\(856\) | −40.7910 | − | 32.5298i | −1.39421 | − | 1.11184i | ||||
\(857\) | 11.3420 | + | 16.6356i | 0.387435 | + | 0.568262i | 0.969565 | − | 0.244833i | \(-0.0787331\pi\) |
−0.582131 | + | 0.813095i | \(0.697781\pi\) | |||||||
\(858\) | 1.37585 | − | 3.74327i | 0.0469707 | − | 0.127793i | ||||
\(859\) | − | 6.58153i | − | 0.224559i | −0.993677 | − | 0.112280i | \(-0.964185\pi\) | ||
0.993677 | − | 0.112280i | \(-0.0358152\pi\) | |||||||
\(860\) | 45.0476 | − | 29.5849i | 1.53611 | − | 1.00884i | ||||
\(861\) | 42.0897 | + | 43.4261i | 1.43441 | + | 1.47996i | ||||
\(862\) | −17.9664 | − | 37.3075i | −0.611937 | − | 1.27070i | ||||
\(863\) | 26.6479 | − | 18.1682i | 0.907104 | − | 0.618453i | −0.0173072 | − | 0.999850i | \(-0.505509\pi\) |
0.924411 | + | 0.381397i | \(0.124557\pi\) | |||||||
\(864\) | 5.15864 | + | 78.8634i | 0.175501 | + | 2.68299i | ||||
\(865\) | 7.85025 | − | 8.46056i | 0.266916 | − | 0.287668i | ||||
\(866\) | −0.360830 | − | 0.208326i | −0.0122615 | − | 0.00707919i | ||||
\(867\) | −4.04427 | + | 14.2019i | −0.137350 | + | 0.482321i | ||||
\(868\) | 30.7239 | + | 7.01253i | 1.04284 | + | 0.238021i | ||||
\(869\) | 4.11296 | + | 1.61422i | 0.139523 | + | 0.0547586i | ||||
\(870\) | 5.87410 | + | 11.5476i | 0.199151 | + | 0.391500i | ||||
\(871\) | −4.75101 | − | 5.95757i | −0.160982 | − | 0.201865i | ||||
\(872\) | 4.44543 | − | 59.3201i | 0.150541 | − | 2.00883i | ||||
\(873\) | −2.03333 | − | 7.40612i | −0.0688179 | − | 0.250659i | ||||
\(874\) | −5.05953 | − | 3.44953i | −0.171141 | − | 0.116682i | ||||
\(875\) | −8.52663 | + | 56.5705i | −0.288253 | + | 1.91243i | ||||
\(876\) | 27.7909 | + | 18.0740i | 0.938967 | + | 0.610663i | ||||
\(877\) | −15.1103 | + | 14.0203i | −0.510238 | + | 0.473432i | −0.892772 | − | 0.450510i | \(-0.851242\pi\) |
0.382533 | + | 0.923942i | \(0.375052\pi\) | |||||||
\(878\) | −5.31854 | − | 70.9710i | −0.179492 | − | 2.39515i | ||||
\(879\) | −42.8124 | − | 19.4808i | −1.44403 | − | 0.657070i | ||||
\(880\) | −1.73749 | − | 11.5275i | −0.0585707 | − | 0.388591i | ||||
\(881\) | 9.82189 | − | 20.3954i | 0.330908 | − | 0.687137i | −0.667436 | − | 0.744667i | \(-0.732608\pi\) |
0.998344 | + | 0.0575299i | \(0.0183224\pi\) | |||||||
\(882\) | 59.2625 | − | 113.818i | 1.99547 | − | 3.83246i | ||||
\(883\) | −38.4469 | + | 5.79493i | −1.29384 | + | 0.195015i | −0.759641 | − | 0.650343i | \(-0.774625\pi\) |
−0.534200 | + | 0.845358i | \(0.679387\pi\) | |||||||
\(884\) | −19.6776 | + | 7.72289i | −0.661830 | + | 0.259749i | ||||
\(885\) | −16.4459 | − | 14.6063i | −0.552821 | − | 0.490984i | ||||
\(886\) | −47.2580 | − | 50.9320i | −1.58766 | − | 1.71110i | ||||
\(887\) | −9.29882 | − | 40.7408i | −0.312224 | − | 1.36794i | −0.850855 | − | 0.525401i | \(-0.823915\pi\) |
0.538631 | − | 0.842542i | \(-0.318942\pi\) | |||||||
\(888\) | 100.312 | − | 71.6398i | 3.36626 | − | 2.40407i | ||||
\(889\) | 43.0075 | − | 63.0804i | 1.44242 | − | 2.11565i | ||||
\(890\) | −29.1784 | + | 9.00033i | −0.978061 | + | 0.301692i | ||||
\(891\) | 5.42085 | + | 0.749034i | 0.181605 | + | 0.0250936i | ||||
\(892\) | 52.6588 | − | 41.9940i | 1.76315 | − | 1.40606i | ||||
\(893\) | 12.4332 | + | 3.83512i | 0.416060 | + | 0.128338i | ||||
\(894\) | −57.7184 | + | 24.1158i | −1.93039 | + | 0.806554i | ||||
\(895\) | 6.06895 | − | 26.5898i | 0.202863 | − | 0.888799i | ||||
\(896\) | 58.7825 | − | 33.9381i | 1.96379 | − | 1.13379i | ||||
\(897\) | 1.22710 | + | 4.88362i | 0.0409718 | + | 0.163059i | ||||
\(898\) | 64.7467 | + | 60.0762i | 2.16063 | + | 2.00477i | ||||
\(899\) | −1.39683 | + | 1.75157i | −0.0465869 | + | 0.0584181i | ||||
\(900\) | −19.9331 | − | 31.2946i | −0.664435 | − | 1.04315i | ||||
\(901\) | 4.14693 | − | 1.99706i | 0.138154 | − | 0.0665316i | ||||
\(902\) | 11.7987 | 0.392853 | ||||||||
\(903\) | 39.7943 | − | 37.2568i | 1.32427 | − | 1.23983i | ||||
\(904\) | 103.003 | 3.42582 | ||||||||
\(905\) | 16.5523 | − | 7.97118i | 0.550218 | − | 0.264971i | ||||
\(906\) | −14.5186 | + | 70.6689i | −0.482349 | + | 2.34782i | ||||
\(907\) | 0.158684 | − | 0.198984i | 0.00526903 | − | 0.00660715i | −0.779190 | − | 0.626788i | \(-0.784369\pi\) |
0.784459 | + | 0.620181i | \(0.212941\pi\) | |||||||
\(908\) | 86.1037 | + | 79.8926i | 2.85745 | + | 2.65133i | ||||
\(909\) | 3.77436 | − | 6.08962i | 0.125188 | − | 0.201980i | ||||
\(910\) | 25.2920 | − | 14.6024i | 0.838423 | − | 0.484064i | ||||
\(911\) | −8.53251 | + | 37.3834i | −0.282695 | + | 1.23857i | 0.611628 | + | 0.791145i | \(0.290515\pi\) |
−0.894323 | + | 0.447422i | \(0.852342\pi\) | |||||||
\(912\) | −8.93208 | − | 21.3779i | −0.295771 | − | 0.707893i | ||||
\(913\) | 8.75336 | + | 2.70005i | 0.289694 | + | 0.0893588i | ||||
\(914\) | 4.63031 | − | 3.69255i | 0.153157 | − | 0.122139i | ||||
\(915\) | 6.29129 | + | 7.54596i | 0.207983 | + | 0.249462i | ||||
\(916\) | −83.4350 | + | 25.7363i | −2.75677 | + | 0.850351i | ||||
\(917\) | −20.4439 | + | 29.9857i | −0.675117 | + | 0.990214i | ||||
\(918\) | −22.4118 | − | 33.5511i | −0.739700 | − | 1.10735i | ||||
\(919\) | 4.01757 | + | 17.6021i | 0.132527 | + | 0.580640i | 0.996962 | + | 0.0778943i | \(0.0248197\pi\) |
−0.864434 | + | 0.502746i | \(0.832323\pi\) | |||||||
\(920\) | 18.5949 | + | 20.0405i | 0.613055 | + | 0.660716i | ||||
\(921\) | −9.13842 | + | 10.2894i | −0.301121 | + | 0.339046i | ||||
\(922\) | 13.7040 | − | 5.37842i | 0.451317 | − | 0.177129i | ||||
\(923\) | −3.81000 | + | 0.574265i | −0.125408 | + | 0.0189022i | ||||
\(924\) | −8.15667 | − | 24.5336i | −0.268335 | − | 0.807097i | ||||
\(925\) | −8.98687 | + | 18.6614i | −0.295487 | + | 0.613584i | ||||
\(926\) | −4.17712 | − | 27.7134i | −0.137269 | − | 0.910719i | ||||
\(927\) | −8.85594 | + | 3.16006i | −0.290867 | + | 0.103790i | ||||
\(928\) | 1.98364 | + | 26.4698i | 0.0651161 | + | 0.868914i | ||||
\(929\) | −16.3074 | + | 15.1310i | −0.535027 | + | 0.496433i | −0.900778 | − | 0.434280i | \(-0.857003\pi\) |
0.365751 | + | 0.930713i | \(0.380812\pi\) | |||||||
\(930\) | −5.19565 | + | 7.98893i | −0.170372 | + | 0.261967i | ||||
\(931\) | −2.67945 | + | 17.7770i | −0.0878156 | + | 0.582618i | ||||
\(932\) | 18.4991 | + | 12.6125i | 0.605958 | + | 0.413135i | ||||
\(933\) | 22.3680 | − | 40.7673i | 0.732295 | − | 1.33466i | ||||
\(934\) | −1.90534 | + | 25.4249i | −0.0623445 | + | 0.831930i | ||||
\(935\) | 1.77335 | + | 2.22371i | 0.0579947 | + | 0.0727230i | ||||
\(936\) | −11.4817 | + | 33.4713i | −0.375291 | + | 1.09404i | ||||
\(937\) | 31.9909 | + | 12.5555i | 1.04510 | + | 0.410171i | 0.824897 | − | 0.565284i | \(-0.191233\pi\) |
0.220201 | + | 0.975454i | \(0.429329\pi\) | |||||||
\(938\) | −66.9920 | − | 15.2905i | −2.18737 | − | 0.499252i | ||||
\(939\) | 28.0279 | + | 7.98150i | 0.914656 | + | 0.260466i | ||||
\(940\) | −82.6067 | − | 47.6930i | −2.69433 | − | 1.55557i | ||||
\(941\) | −32.0458 | + | 34.5372i | −1.04466 | + | 1.12588i | −0.0527969 | + | 0.998605i | \(0.516814\pi\) |
−0.991867 | + | 0.127275i | \(0.959377\pi\) | |||||||
\(942\) | 1.59304 | + | 16.4444i | 0.0519041 | + | 0.535788i | ||||
\(943\) | −12.3086 | + | 8.39186i | −0.400823 | + | 0.273276i | ||||
\(944\) | −40.9149 | − | 84.9607i | −1.33167 | − | 2.76523i | ||||
\(945\) | 26.9774 | + | 29.6333i | 0.877575 | + | 0.963970i | ||||
\(946\) | 0.183923 | − | 10.6337i | 0.00597984 | − | 0.345731i | ||||
\(947\) | − | 34.9639i | − | 1.13617i | −0.822969 | − | 0.568086i | \(-0.807684\pi\) | ||
0.822969 | − | 0.568086i | \(-0.192316\pi\) | |||||||
\(948\) | −60.4237 | − | 22.2089i | −1.96247 | − | 0.721312i | ||||
\(949\) | 2.99264 | + | 4.38940i | 0.0971453 | + | 0.142486i | ||||
\(950\) | 5.65325 | + | 4.50832i | 0.183416 | + | 0.146269i | ||||
\(951\) | −3.46217 | + | 0.0753943i | −0.112269 | + | 0.00244483i | ||||
\(952\) | −58.0429 | + | 100.533i | −1.88118 | + | 3.25830i | ||||
\(953\) | −2.46970 | − | 4.27765i | −0.0800016 | − | 0.138567i | 0.823249 | − | 0.567681i | \(-0.192159\pi\) |
−0.903250 | + | 0.429114i | \(0.858826\pi\) | |||||||
\(954\) | 3.19942 | − | 12.2409i | 0.103585 | − | 0.396313i | ||||
\(955\) | 7.21550 | − | 18.3848i | 0.233488 | − | 0.594918i | ||||
\(956\) | −14.4482 | + | 46.8399i | −0.467288 | + | 1.51491i | ||||
\(957\) | 1.82298 | + | 0.234302i | 0.0589284 | + | 0.00757391i | ||||
\(958\) | −13.8531 | − | 1.03814i | −0.447572 | − | 0.0335409i | ||||
\(959\) | −26.4317 | − | 85.6894i | −0.853524 | − | 2.76706i | ||||
\(960\) | 7.92914 | + | 45.8145i | 0.255912 | + | 1.47866i | ||||
\(961\) | 29.0242 | + | 4.37470i | 0.936266 | + | 0.141119i | ||||
\(962\) | 31.6241 | − | 7.21798i | 1.01960 | − | 0.232717i | ||||
\(963\) | 14.2036 | − | 12.3759i | 0.457704 | − | 0.398809i | ||||
\(964\) | −60.9035 | + | 4.56409i | −1.96157 | + | 0.146999i | ||||
\(965\) | 11.8096 | + | 30.0904i | 0.380164 | + | 0.968643i | ||||
\(966\) | 36.1093 | + | 27.5317i | 1.16180 | + | 0.885818i | ||||
\(967\) | 12.8270 | + | 6.17716i | 0.412489 | + | 0.198644i | 0.628607 | − | 0.777723i | \(-0.283625\pi\) |
−0.216118 | + | 0.976367i | \(0.569340\pi\) | |||||||
\(968\) | 79.5739 | + | 38.3208i | 2.55760 | + | 1.23168i | ||||
\(969\) | 4.49516 | + | 3.42736i | 0.144405 | + | 0.110103i | ||||
\(970\) | −4.00871 | − | 10.2140i | −0.128712 | − | 0.327952i | ||||
\(971\) | 4.49339 | − | 0.336733i | 0.144200 | − | 0.0108063i | −0.00243456 | − | 0.999997i | \(-0.500775\pi\) |
0.146634 | + | 0.989191i | \(0.453156\pi\) | |||||||
\(972\) | −79.2007 | − | 9.19129i | −2.54036 | − | 0.294811i | ||||
\(973\) | 15.7550 | − | 3.59598i | 0.505083 | − | 0.115282i | ||||
\(974\) | 71.7491 | + | 10.8144i | 2.29899 | + | 0.346517i | ||||
\(975\) | −1.01398 | − | 5.85880i | −0.0324735 | − | 0.187632i | ||||
\(976\) | 12.4150 | + | 40.2483i | 0.397393 | + | 1.28832i | ||||
\(977\) | −57.0477 | − | 4.27513i | −1.82512 | − | 0.136774i | −0.882429 | − | 0.470446i | \(-0.844093\pi\) |
−0.942689 | + | 0.333673i | \(0.891712\pi\) | |||||||
\(978\) | 8.03014 | + | 1.03209i | 0.256775 | + | 0.0330027i | ||||
\(979\) | −1.27683 | + | 4.13939i | −0.0408077 | + | 0.132295i | ||||
\(980\) | 48.1507 | − | 122.686i | 1.53812 | − | 3.91906i | ||||
\(981\) | 20.7813 | + | 5.43167i | 0.663497 | + | 0.173420i | ||||
\(982\) | 29.7794 | + | 51.5794i | 0.950298 | + | 1.64596i | ||||
\(983\) | −15.0992 | + | 26.1527i | −0.481591 | + | 0.834140i | −0.999777 | − | 0.0211280i | \(-0.993274\pi\) |
0.518186 | + | 0.855268i | \(0.326608\pi\) | |||||||
\(984\) | −104.663 | + | 2.27920i | −3.33653 | + | 0.0726582i | ||||
\(985\) | −24.4672 | − | 19.5120i | −0.779591 | − | 0.621703i | ||||
\(986\) | −7.63382 | − | 11.1968i | −0.243110 | − | 0.356577i | ||||
\(987\) | −90.5584 | − | 33.2850i | −2.88250 | − | 1.05947i | ||||
\(988\) | − | 8.14069i | − | 0.258990i | ||||||
\(989\) | 7.37138 | + | 11.2241i | 0.234396 | + | 0.356904i | ||||
\(990\) | 7.81443 | + | 0.244308i | 0.248359 | + | 0.00776463i | ||||
\(991\) | −7.72566 | − | 16.0425i | −0.245414 | − | 0.509607i | 0.741481 | − | 0.670974i | \(-0.234124\pi\) |
−0.986894 | + | 0.161367i | \(0.948410\pi\) | |||||||
\(992\) | −16.1322 | + | 10.9988i | −0.512199 | + | 0.349211i | ||||
\(993\) | −4.01474 | − | 41.4427i | −0.127404 | − | 1.31515i | ||||
\(994\) | −23.6329 | + | 25.4702i | −0.749589 | + | 0.807865i | ||||
\(995\) | −35.0018 | − | 20.2083i | −1.10963 | − | 0.640646i | ||||
\(996\) | −128.363 | − | 36.5538i | −4.06733 | − | 1.15825i | ||||
\(997\) | 9.22610 | + | 2.10580i | 0.292194 | + | 0.0666913i | 0.366105 | − | 0.930574i | \(-0.380691\pi\) |
−0.0739114 | + | 0.997265i | \(0.523548\pi\) | |||||||
\(998\) | 41.6605 | + | 16.3505i | 1.31874 | + | 0.517567i | ||||
\(999\) | 18.9309 | + | 40.2829i | 0.598947 | + | 1.27450i |
(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 | 129.2.n.b.98.12 | yes | 144 | |
3.2 | odd | 2 | inner | 129.2.n.b.98.1 | ✓ | 144 | |
43.18 | odd | 42 | inner | 129.2.n.b.104.1 | yes | 144 | |
129.104 | even | 42 | inner | 129.2.n.b.104.12 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
129.2.n.b.98.1 | ✓ | 144 | 3.2 | odd | 2 | inner | |
129.2.n.b.98.12 | yes | 144 | 1.1 | even | 1 | trivial | |
129.2.n.b.104.1 | yes | 144 | 43.18 | odd | 42 | inner | |
129.2.n.b.104.12 | yes | 144 | 129.104 | even | 42 | inner |