Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(13,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.v (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 157.4 | ||
Character | \(\chi\) | \(=\) | 384.157 |
Dual form | 384.2.v.a.181.4 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{27}{32}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28206 | + | 0.596933i | −0.906551 | + | 0.422095i | ||||
\(3\) | −0.0980171 | + | 0.995185i | −0.0565902 | + | 0.574570i | ||||
\(4\) | 1.28734 | − | 1.53060i | 0.643671 | − | 0.765302i | ||||
\(5\) | −0.434364 | + | 0.232173i | −0.194254 | + | 0.103831i | −0.565656 | − | 0.824641i | \(-0.691377\pi\) |
0.371402 | + | 0.928472i | \(0.378877\pi\) | |||||||
\(6\) | −0.468395 | − | 1.33439i | −0.191221 | − | 0.544764i | ||||
\(7\) | −0.519029 | − | 2.60933i | −0.196174 | − | 0.986236i | −0.945893 | − | 0.324479i | \(-0.894811\pi\) |
0.749718 | − | 0.661757i | \(-0.230189\pi\) | |||||||
\(8\) | −0.736779 | + | 2.73078i | −0.260491 | + | 0.965476i | ||||
\(9\) | −0.980785 | − | 0.195090i | −0.326928 | − | 0.0650301i | ||||
\(10\) | 0.418289 | − | 0.556945i | 0.132274 | − | 0.176121i | ||||
\(11\) | 0.916620 | − | 1.11690i | 0.276371 | − | 0.336759i | −0.616263 | − | 0.787540i | \(-0.711354\pi\) |
0.892635 | + | 0.450781i | \(0.148854\pi\) | |||||||
\(12\) | 1.39705 | + | 1.43117i | 0.403294 | + | 0.413143i | ||||
\(13\) | 1.88580 | − | 3.52808i | 0.523026 | − | 0.978512i | −0.472254 | − | 0.881463i | \(-0.656559\pi\) |
0.995280 | − | 0.0970497i | \(-0.0309406\pi\) | |||||||
\(14\) | 2.22302 | + | 3.03549i | 0.594128 | + | 0.811269i | ||||
\(15\) | −0.188479 | − | 0.455030i | −0.0486652 | − | 0.117488i | ||||
\(16\) | −0.685499 | − | 3.94082i | −0.171375 | − | 0.985206i | ||||
\(17\) | 0.865395 | − | 2.08925i | 0.209889 | − | 0.506717i | −0.783516 | − | 0.621371i | \(-0.786576\pi\) |
0.993405 | + | 0.114654i | \(0.0365759\pi\) | |||||||
\(18\) | 1.37388 | − | 0.335346i | 0.323826 | − | 0.0790418i | ||||
\(19\) | −0.820463 | − | 2.70471i | −0.188227 | − | 0.620502i | −0.999364 | − | 0.0356461i | \(-0.988651\pi\) |
0.811137 | − | 0.584856i | \(-0.198849\pi\) | |||||||
\(20\) | −0.203811 | + | 0.963726i | −0.0455736 | + | 0.215496i | ||||
\(21\) | 2.64764 | − | 0.260770i | 0.577763 | − | 0.0569047i | ||||
\(22\) | −0.508442 | + | 1.97910i | −0.108400 | + | 0.421945i | ||||
\(23\) | −1.61348 | + | 1.07809i | −0.336434 | + | 0.224798i | −0.712298 | − | 0.701877i | \(-0.752346\pi\) |
0.375865 | + | 0.926675i | \(0.377346\pi\) | |||||||
\(24\) | −2.64541 | − | 1.00089i | −0.539993 | − | 0.204307i | ||||
\(25\) | −2.64308 | + | 3.95565i | −0.528617 | + | 0.791131i | ||||
\(26\) | −0.311674 | + | 5.64889i | −0.0611243 | + | 1.10784i | ||||
\(27\) | 0.290285 | − | 0.956940i | 0.0558653 | − | 0.184163i | ||||
\(28\) | −4.66203 | − | 2.56468i | −0.881040 | − | 0.484679i | ||||
\(29\) | 6.40700 | − | 5.25809i | 1.18975 | − | 0.976402i | 0.189764 | − | 0.981830i | \(-0.439228\pi\) |
0.999985 | + | 0.00542747i | \(0.00172763\pi\) | |||||||
\(30\) | 0.513264 | + | 0.470865i | 0.0937087 | + | 0.0859677i | ||||
\(31\) | 4.65187 | − | 4.65187i | 0.835500 | − | 0.835500i | −0.152763 | − | 0.988263i | \(-0.548817\pi\) |
0.988263 | + | 0.152763i | \(0.0488171\pi\) | |||||||
\(32\) | 3.23126 | + | 4.64317i | 0.571211 | + | 0.820803i | ||||
\(33\) | 1.02168 | + | 1.02168i | 0.177852 | + | 0.177852i | ||||
\(34\) | 0.137655 | + | 3.19512i | 0.0236076 | + | 0.547958i | ||||
\(35\) | 0.831264 | + | 1.01290i | 0.140509 | + | 0.171211i | ||||
\(36\) | −1.56121 | + | 1.25005i | −0.260202 | + | 0.208341i | ||||
\(37\) | 6.97766 | + | 2.11665i | 1.14712 | + | 0.347975i | 0.805925 | − | 0.592017i | \(-0.201668\pi\) |
0.341195 | + | 0.939992i | \(0.389168\pi\) | |||||||
\(38\) | 2.66641 | + | 2.97783i | 0.432549 | + | 0.483067i | ||||
\(39\) | 3.32625 | + | 2.22253i | 0.532626 | + | 0.355889i | ||||
\(40\) | −0.313982 | − | 1.35721i | −0.0496449 | − | 0.214594i | ||||
\(41\) | 5.57407 | + | 8.34219i | 0.870524 | + | 1.30283i | 0.951982 | + | 0.306155i | \(0.0990424\pi\) |
−0.0814577 | + | 0.996677i | \(0.525958\pi\) | |||||||
\(42\) | −3.23877 | + | 1.91479i | −0.499753 | + | 0.295458i | ||||
\(43\) | −0.656241 | − | 6.66293i | −0.100076 | − | 1.01609i | −0.905774 | − | 0.423761i | \(-0.860710\pi\) |
0.805698 | − | 0.592326i | \(-0.201790\pi\) | |||||||
\(44\) | −0.529535 | − | 2.84082i | −0.0798304 | − | 0.428270i | ||||
\(45\) | 0.471313 | − | 0.142971i | 0.0702592 | − | 0.0213129i | ||||
\(46\) | 1.42502 | − | 2.34532i | 0.210108 | − | 0.345798i | ||||
\(47\) | −7.80396 | − | 3.23250i | −1.13832 | − | 0.471509i | −0.267722 | − | 0.963496i | \(-0.586271\pi\) |
−0.870602 | + | 0.491987i | \(0.836271\pi\) | |||||||
\(48\) | 3.98904 | − | 0.295930i | 0.575768 | − | 0.0427138i | ||||
\(49\) | −0.0720787 | + | 0.0298560i | −0.0102970 | + | 0.00426514i | ||||
\(50\) | 1.02732 | − | 6.64912i | 0.145286 | − | 0.940327i | ||||
\(51\) | 1.99436 | + | 1.06601i | 0.279267 | + | 0.149271i | ||||
\(52\) | −2.97242 | − | 7.42825i | −0.412201 | − | 1.03011i | ||||
\(53\) | −1.88878 | − | 1.55008i | −0.259444 | − | 0.212920i | 0.495675 | − | 0.868508i | \(-0.334921\pi\) |
−0.755119 | + | 0.655588i | \(0.772421\pi\) | |||||||
\(54\) | 0.199067 | + | 1.40013i | 0.0270897 | + | 0.190534i | ||||
\(55\) | −0.138832 | + | 0.697957i | −0.0187202 | + | 0.0941126i | ||||
\(56\) | 7.50793 | + | 0.505149i | 1.00329 | + | 0.0675034i | ||||
\(57\) | 2.77210 | − | 0.551405i | 0.367174 | − | 0.0730354i | ||||
\(58\) | −5.07541 | + | 10.5657i | −0.666434 | + | 1.38735i | ||||
\(59\) | −1.29781 | − | 2.42803i | −0.168961 | − | 0.316103i | 0.783163 | − | 0.621816i | \(-0.213605\pi\) |
−0.952124 | + | 0.305714i | \(0.901105\pi\) | |||||||
\(60\) | −0.939108 | − | 0.297292i | −0.121238 | − | 0.0383802i | ||||
\(61\) | 5.00881 | + | 0.493324i | 0.641312 | + | 0.0631637i | 0.413446 | − | 0.910529i | \(-0.364325\pi\) |
0.227866 | + | 0.973692i | \(0.426825\pi\) | |||||||
\(62\) | −3.18711 | + | 8.74081i | −0.404763 | + | 1.11008i | ||||
\(63\) | 2.66045i | 0.335186i | ||||||||
\(64\) | −6.91431 | − | 4.02396i | −0.864289 | − | 0.502995i | ||||
\(65\) | 1.97030i | 0.244386i | ||||||||
\(66\) | −1.91973 | − | 0.699979i | −0.236302 | − | 0.0861615i | ||||
\(67\) | −5.17367 | − | 0.509562i | −0.632065 | − | 0.0622529i | −0.223089 | − | 0.974798i | \(-0.571614\pi\) |
−0.408976 | + | 0.912545i | \(0.634114\pi\) | |||||||
\(68\) | −2.08375 | − | 4.01416i | −0.252692 | − | 0.486788i | ||||
\(69\) | −0.914753 | − | 1.71138i | −0.110123 | − | 0.206026i | ||||
\(70\) | −1.67036 | − | 0.802384i | −0.199646 | − | 0.0959033i | ||||
\(71\) | 1.15091 | − | 0.228930i | 0.136588 | − | 0.0271690i | −0.126323 | − | 0.991989i | \(-0.540318\pi\) |
0.262911 | + | 0.964820i | \(0.415318\pi\) | |||||||
\(72\) | 1.25537 | − | 2.53457i | 0.147947 | − | 0.298702i | ||||
\(73\) | −1.75052 | + | 8.80047i | −0.204883 | + | 1.03002i | 0.732248 | + | 0.681038i | \(0.238471\pi\) |
−0.937131 | + | 0.348978i | \(0.886529\pi\) | |||||||
\(74\) | −10.2093 | + | 1.45153i | −1.18680 | + | 0.168737i | ||||
\(75\) | −3.67754 | − | 3.01808i | −0.424646 | − | 0.348498i | ||||
\(76\) | −5.19605 | − | 2.22608i | −0.596028 | − | 0.255349i | ||||
\(77\) | −3.39013 | − | 1.81206i | −0.386341 | − | 0.206504i | ||||
\(78\) | −5.59114 | − | 0.863861i | −0.633072 | − | 0.0978130i | ||||
\(79\) | −0.912975 | + | 0.378167i | −0.102718 | + | 0.0425471i | −0.433451 | − | 0.901177i | \(-0.642704\pi\) |
0.330733 | + | 0.943724i | \(0.392704\pi\) | |||||||
\(80\) | 1.21271 | + | 1.55260i | 0.135585 | + | 0.173586i | ||||
\(81\) | 0.923880 | + | 0.382683i | 0.102653 | + | 0.0425204i | ||||
\(82\) | −12.1260 | − | 7.36782i | −1.33909 | − | 0.813640i | ||||
\(83\) | −6.02031 | + | 1.82624i | −0.660815 | + | 0.200456i | −0.602840 | − | 0.797862i | \(-0.705964\pi\) |
−0.0579750 | + | 0.998318i | \(0.518464\pi\) | |||||||
\(84\) | 3.00929 | − | 4.38820i | 0.328340 | − | 0.478791i | ||||
\(85\) | 0.109169 | + | 1.10842i | 0.0118411 | + | 0.120225i | ||||
\(86\) | 4.81866 | + | 8.15052i | 0.519609 | + | 0.878893i | ||||
\(87\) | 4.60477 | + | 6.89153i | 0.493683 | + | 0.738849i | ||||
\(88\) | 2.37467 | + | 3.32600i | 0.253141 | + | 0.354553i | ||||
\(89\) | −15.5192 | − | 10.3696i | −1.64503 | − | 1.09917i | −0.903836 | − | 0.427878i | \(-0.859261\pi\) |
−0.741191 | − | 0.671294i | \(-0.765739\pi\) | |||||||
\(90\) | −0.518906 | + | 0.464639i | −0.0546975 | + | 0.0489773i | ||||
\(91\) | −10.1847 | − | 3.08950i | −1.06765 | − | 0.323867i | ||||
\(92\) | −0.426968 | + | 3.85747i | −0.0445144 | + | 0.402169i | ||||
\(93\) | 4.17350 | + | 5.08543i | 0.432772 | + | 0.527335i | ||||
\(94\) | 11.9347 | − | 0.514181i | 1.23097 | − | 0.0530338i | ||||
\(95\) | 0.984339 | + | 0.984339i | 0.100991 | + | 0.100991i | ||||
\(96\) | −4.93753 | + | 2.76059i | −0.503934 | + | 0.281751i | ||||
\(97\) | 4.43740 | − | 4.43740i | 0.450550 | − | 0.450550i | −0.444987 | − | 0.895537i | \(-0.646792\pi\) |
0.895537 | + | 0.444987i | \(0.146792\pi\) | |||||||
\(98\) | 0.0745870 | − | 0.0813032i | 0.00753443 | − | 0.00821287i | ||||
\(99\) | −1.11690 | + | 0.916620i | −0.112253 | + | 0.0921237i | ||||
\(100\) | 2.65199 | + | 9.13779i | 0.265199 | + | 0.913779i | ||||
\(101\) | 1.97010 | − | 6.49455i | 0.196032 | − | 0.646231i | −0.802723 | − | 0.596352i | \(-0.796616\pi\) |
0.998755 | − | 0.0498795i | \(-0.0158837\pi\) | |||||||
\(102\) | −3.19323 | − | 0.176184i | −0.316176 | − | 0.0174449i | ||||
\(103\) | −7.44913 | + | 11.1484i | −0.733984 | + | 1.09849i | 0.257247 | + | 0.966346i | \(0.417185\pi\) |
−0.991231 | + | 0.132139i | \(0.957815\pi\) | |||||||
\(104\) | 8.24498 | + | 7.74911i | 0.808487 | + | 0.759862i | ||||
\(105\) | −1.08950 | + | 0.727980i | −0.106324 | + | 0.0710435i | ||||
\(106\) | 3.34682 | + | 0.859820i | 0.325072 | + | 0.0835131i | ||||
\(107\) | −14.0817 | + | 1.38693i | −1.36133 | + | 0.134079i | −0.752170 | − | 0.658969i | \(-0.770993\pi\) |
−0.609159 | + | 0.793048i | \(0.708493\pi\) | |||||||
\(108\) | −1.09100 | − | 1.67622i | −0.104982 | − | 0.161294i | ||||
\(109\) | −2.69296 | − | 8.87749i | −0.257939 | − | 0.850309i | −0.986278 | − | 0.165093i | \(-0.947208\pi\) |
0.728339 | − | 0.685217i | \(-0.240292\pi\) | |||||||
\(110\) | −0.238643 | − | 0.977695i | −0.0227537 | − | 0.0932196i | ||||
\(111\) | −2.79039 | + | 6.73660i | −0.264852 | + | 0.639409i | ||||
\(112\) | −9.92713 | + | 3.83410i | −0.938026 | + | 0.362288i | ||||
\(113\) | 0.952411 | + | 2.29932i | 0.0895953 | + | 0.216302i | 0.962325 | − | 0.271901i | \(-0.0876524\pi\) |
−0.872730 | + | 0.488203i | \(0.837652\pi\) | |||||||
\(114\) | −3.22484 | + | 2.36169i | −0.302034 | + | 0.221193i | ||||
\(115\) | 0.450535 | − | 0.842891i | 0.0420126 | − | 0.0786000i | ||||
\(116\) | 0.199949 | − | 16.5755i | 0.0185648 | − | 1.53900i | ||||
\(117\) | −2.53785 | + | 3.09238i | −0.234625 | + | 0.285891i | ||||
\(118\) | 3.11324 | + | 2.33817i | 0.286597 | + | 0.215246i | ||||
\(119\) | −5.90071 | − | 1.17372i | −0.540917 | − | 0.107595i | ||||
\(120\) | 1.38145 | − | 0.179440i | 0.126109 | − | 0.0163805i | ||||
\(121\) | 1.73871 | + | 8.74109i | 0.158065 | + | 0.794644i | ||||
\(122\) | −6.71606 | + | 2.35745i | −0.608043 | + | 0.213434i | ||||
\(123\) | −8.84838 | + | 4.72956i | −0.797831 | + | 0.426450i | ||||
\(124\) | −1.13162 | − | 13.1087i | −0.101623 | − | 1.17720i | ||||
\(125\) | 0.471044 | − | 4.78259i | 0.0421315 | − | 0.427768i | ||||
\(126\) | −1.58811 | − | 3.41086i | −0.141480 | − | 0.303863i | ||||
\(127\) | 14.1616 | 1.25664 | 0.628318 | − | 0.777956i | \(-0.283743\pi\) | ||||
0.628318 | + | 0.777956i | \(0.283743\pi\) | |||||||
\(128\) | 11.2666 | + | 1.03157i | 0.995835 | + | 0.0911787i | ||||
\(129\) | 6.69516 | 0.589476 | ||||||||
\(130\) | −1.17614 | − | 2.52604i | −0.103154 | − | 0.221548i | ||||
\(131\) | −0.401558 | + | 4.07708i | −0.0350843 | + | 0.356216i | 0.961575 | + | 0.274543i | \(0.0885265\pi\) |
−0.996659 | + | 0.0816736i | \(0.973974\pi\) | |||||||
\(132\) | 2.87904 | − | 0.248536i | 0.250589 | − | 0.0216323i | ||||
\(133\) | −6.63164 | + | 3.54468i | −0.575036 | + | 0.307363i | ||||
\(134\) | 6.93712 | − | 2.43505i | 0.599276 | − | 0.210356i | ||||
\(135\) | 0.0960860 | + | 0.483057i | 0.00826977 | + | 0.0415749i | ||||
\(136\) | 5.06767 | + | 3.90252i | 0.434549 | + | 0.334638i | ||||
\(137\) | −2.02429 | − | 0.402657i | −0.172947 | − | 0.0344013i | 0.107857 | − | 0.994166i | \(-0.465601\pi\) |
−0.280804 | + | 0.959765i | \(0.590601\pi\) | |||||||
\(138\) | 2.19435 | + | 1.64804i | 0.186795 | + | 0.140291i | ||||
\(139\) | 5.02577 | − | 6.12392i | 0.426281 | − | 0.519424i | −0.514936 | − | 0.857229i | \(-0.672184\pi\) |
0.941216 | + | 0.337804i | \(0.109684\pi\) | |||||||
\(140\) | 2.62047 | + | 0.0316104i | 0.221470 | + | 0.00267157i | ||||
\(141\) | 3.98186 | − | 7.44954i | 0.335333 | − | 0.627364i | ||||
\(142\) | −1.33888 | + | 0.980517i | −0.112356 | + | 0.0822832i | ||||
\(143\) | −2.21197 | − | 5.34016i | −0.184974 | − | 0.446566i | ||||
\(144\) | −0.0964891 | + | 3.99884i | −0.00804076 | + | 0.333236i | ||||
\(145\) | −1.56219 | + | 3.77145i | −0.129733 | + | 0.313202i | ||||
\(146\) | −3.00902 | − | 12.3276i | −0.249028 | − | 1.02024i | ||||
\(147\) | −0.0226473 | − | 0.0746580i | −0.00186791 | − | 0.00615769i | ||||
\(148\) | 12.2224 | − | 7.95519i | 1.00467 | − | 0.653912i | ||||
\(149\) | 8.11544 | − | 0.799301i | 0.664842 | − | 0.0654813i | 0.240034 | − | 0.970764i | \(-0.422841\pi\) |
0.424809 | + | 0.905283i | \(0.360341\pi\) | |||||||
\(150\) | 6.51640 | + | 1.67411i | 0.532062 | + | 0.136690i | ||||
\(151\) | −2.94808 | + | 1.96984i | −0.239911 | + | 0.160303i | −0.669714 | − | 0.742619i | \(-0.733583\pi\) |
0.429803 | + | 0.902923i | \(0.358583\pi\) | |||||||
\(152\) | 7.99045 | − | 0.247735i | 0.648111 | − | 0.0200939i | ||||
\(153\) | −1.25636 | + | 1.88027i | −0.101571 | + | 0.152011i | ||||
\(154\) | 5.42802 | + | 0.299488i | 0.437402 | + | 0.0241334i | ||||
\(155\) | −0.940569 | + | 3.10064i | −0.0755483 | + | 0.249050i | ||||
\(156\) | 7.68383 | − | 2.23001i | 0.615199 | − | 0.178544i | ||||
\(157\) | −17.8247 | + | 14.6284i | −1.42257 | + | 1.16747i | −0.462877 | + | 0.886423i | \(0.653183\pi\) |
−0.959693 | + | 0.281050i | \(0.909317\pi\) | |||||||
\(158\) | 0.944746 | − | 1.02982i | 0.0751600 | − | 0.0819278i | ||||
\(159\) | 1.72775 | − | 1.72775i | 0.137020 | − | 0.137020i | ||||
\(160\) | −2.48156 | − | 1.26662i | −0.196184 | − | 0.100135i | ||||
\(161\) | 3.65055 | + | 3.65055i | 0.287703 | + | 0.287703i | ||||
\(162\) | −1.41290 | + | 0.0608719i | −0.111008 | + | 0.00478255i | ||||
\(163\) | 0.176986 | + | 0.215658i | 0.0138626 | + | 0.0168916i | 0.779896 | − | 0.625910i | \(-0.215272\pi\) |
−0.766033 | + | 0.642801i | \(0.777772\pi\) | |||||||
\(164\) | 19.9443 | + | 2.20755i | 1.55739 | + | 0.172381i | ||||
\(165\) | −0.680989 | − | 0.206576i | −0.0530149 | − | 0.0160819i | ||||
\(166\) | 6.62824 | − | 5.93507i | 0.514452 | − | 0.460651i | ||||
\(167\) | 0.362060 | + | 0.241921i | 0.0280171 | + | 0.0187204i | 0.569500 | − | 0.821991i | \(-0.307137\pi\) |
−0.541483 | + | 0.840712i | \(0.682137\pi\) | |||||||
\(168\) | −1.23862 | + | 7.42226i | −0.0955618 | + | 0.572640i | ||||
\(169\) | −1.66868 | − | 2.49736i | −0.128360 | − | 0.192105i | ||||
\(170\) | −0.801611 | − | 1.35589i | −0.0614808 | − | 0.103992i | ||||
\(171\) | 0.277037 | + | 2.81280i | 0.0211855 | + | 0.215100i | ||||
\(172\) | −11.0431 | − | 7.57302i | −0.842029 | − | 0.577437i | ||||
\(173\) | 18.0968 | − | 5.48961i | 1.37587 | − | 0.417367i | 0.486155 | − | 0.873873i | \(-0.338399\pi\) |
0.889720 | + | 0.456506i | \(0.150899\pi\) | |||||||
\(174\) | −10.0174 | − | 6.08660i | −0.759414 | − | 0.461424i | ||||
\(175\) | 11.6935 | + | 4.84359i | 0.883942 | + | 0.366141i | ||||
\(176\) | −5.02986 | − | 2.84660i | −0.379140 | − | 0.214571i | ||||
\(177\) | 2.54355 | − | 1.05357i | 0.191185 | − | 0.0791913i | ||||
\(178\) | 26.0864 | + | 4.03049i | 1.95526 | + | 0.302098i | ||||
\(179\) | 16.8371 | + | 8.99963i | 1.25847 | + | 0.672664i | 0.959529 | − | 0.281609i | \(-0.0908680\pi\) |
0.298937 | + | 0.954273i | \(0.403368\pi\) | |||||||
\(180\) | 0.387909 | − | 0.905446i | 0.0289130 | − | 0.0674880i | ||||
\(181\) | 13.5190 | + | 11.0947i | 1.00486 | + | 0.824666i | 0.984546 | − | 0.175128i | \(-0.0560339\pi\) |
0.0203123 | + | 0.999794i | \(0.493534\pi\) | |||||||
\(182\) | 14.9016 | − | 2.11867i | 1.10458 | − | 0.157047i | ||||
\(183\) | −0.981898 | + | 4.93633i | −0.0725840 | + | 0.364904i | ||||
\(184\) | −1.75526 | − | 5.20037i | −0.129399 | − | 0.383377i | ||||
\(185\) | −3.52228 | + | 0.700624i | −0.258963 | + | 0.0515109i | ||||
\(186\) | −8.38633 | − | 4.02851i | −0.614916 | − | 0.295385i | ||||
\(187\) | −1.54025 | − | 2.88161i | −0.112634 | − | 0.210724i | ||||
\(188\) | −14.9940 | + | 7.78343i | −1.09355 | + | 0.567665i | ||||
\(189\) | −2.64764 | − | 0.260770i | −0.192588 | − | 0.0189682i | ||||
\(190\) | −1.84956 | − | 0.674395i | −0.134181 | − | 0.0489257i | ||||
\(191\) | − | 10.3660i | − | 0.750055i | −0.927014 | − | 0.375027i | \(-0.877633\pi\) | ||
0.927014 | − | 0.375027i | \(-0.122367\pi\) | |||||||
\(192\) | 4.68231 | − | 6.48660i | 0.337916 | − | 0.468130i | ||||
\(193\) | 17.3721i | 1.25047i | 0.780436 | + | 0.625236i | \(0.214997\pi\) | ||||
−0.780436 | + | 0.625236i | \(0.785003\pi\) | |||||||
\(194\) | −3.04017 | + | 8.33783i | −0.218272 | + | 0.598621i | ||||
\(195\) | −1.96081 | − | 0.193123i | −0.140417 | − | 0.0138298i | ||||
\(196\) | −0.0470923 | + | 0.148759i | −0.00336373 | + | 0.0106256i | ||||
\(197\) | −4.18920 | − | 7.83744i | −0.298468 | − | 0.558395i | 0.687327 | − | 0.726348i | \(-0.258784\pi\) |
−0.985795 | + | 0.167954i | \(0.946284\pi\) | |||||||
\(198\) | 0.884775 | − | 1.84188i | 0.0628782 | − | 0.130896i | ||||
\(199\) | 24.5854 | − | 4.89034i | 1.74281 | − | 0.346667i | 0.781876 | − | 0.623434i | \(-0.214263\pi\) |
0.960937 | + | 0.276767i | \(0.0892630\pi\) | |||||||
\(200\) | −8.85465 | − | 10.1321i | −0.626118 | − | 0.716449i | ||||
\(201\) | 1.01422 | − | 5.09881i | 0.0715373 | − | 0.359643i | ||||
\(202\) | 1.35103 | + | 9.50240i | 0.0950580 | + | 0.668586i | ||||
\(203\) | −17.0455 | − | 13.9889i | −1.19636 | − | 0.981828i | ||||
\(204\) | 4.19907 | − | 1.68026i | 0.293994 | − | 0.117642i | ||||
\(205\) | −4.35801 | − | 2.32940i | −0.304376 | − | 0.162693i | ||||
\(206\) | 2.89536 | − | 18.7395i | 0.201729 | − | 1.30564i | ||||
\(207\) | 1.79280 | − | 0.742603i | 0.124608 | − | 0.0516145i | ||||
\(208\) | −15.1962 | − | 5.01310i | −1.05367 | − | 0.347596i | ||||
\(209\) | −3.77295 | − | 1.56281i | −0.260980 | − | 0.108102i | ||||
\(210\) | 0.962245 | − | 1.58367i | 0.0664012 | − | 0.109284i | ||||
\(211\) | 4.77293 | − | 1.44785i | 0.328582 | − | 0.0996743i | −0.121683 | − | 0.992569i | \(-0.538829\pi\) |
0.450266 | + | 0.892895i | \(0.351329\pi\) | |||||||
\(212\) | −4.80408 | + | 0.895490i | −0.329945 | + | 0.0615025i | ||||
\(213\) | 0.115019 | + | 1.16781i | 0.00788097 | + | 0.0800168i | ||||
\(214\) | 17.2256 | − | 10.1839i | 1.17752 | − | 0.696160i | ||||
\(215\) | 1.83200 | + | 2.74178i | 0.124941 | + | 0.186988i | ||||
\(216\) | 2.39932 | + | 1.49776i | 0.163253 | + | 0.101909i | ||||
\(217\) | −14.5527 | − | 9.72382i | −0.987904 | − | 0.660096i | ||||
\(218\) | 8.75179 | + | 9.77394i | 0.592746 | + | 0.661975i | ||||
\(219\) | −8.58651 | − | 2.60469i | −0.580223 | − | 0.176009i | ||||
\(220\) | 0.889572 | + | 1.11101i | 0.0599749 | + | 0.0749041i | ||||
\(221\) | −5.73907 | − | 6.99308i | −0.386052 | − | 0.470405i | ||||
\(222\) | −0.443856 | − | 10.3024i | −0.0297897 | − | 0.691450i | ||||
\(223\) | 3.06444 | + | 3.06444i | 0.205210 | + | 0.205210i | 0.802228 | − | 0.597018i | \(-0.203648\pi\) |
−0.597018 | + | 0.802228i | \(0.703648\pi\) | |||||||
\(224\) | 10.4385 | − | 10.8414i | 0.697449 | − | 0.724369i | ||||
\(225\) | 3.36401 | − | 3.36401i | 0.224267 | − | 0.224267i | ||||
\(226\) | −2.59359 | − | 2.37934i | −0.172523 | − | 0.158271i | ||||
\(227\) | 3.34427 | − | 2.74457i | 0.221967 | − | 0.182164i | −0.516837 | − | 0.856084i | \(-0.672891\pi\) |
0.738804 | + | 0.673920i | \(0.235391\pi\) | |||||||
\(228\) | 2.72466 | − | 4.95284i | 0.180445 | − | 0.328010i | ||||
\(229\) | −3.91848 | + | 12.9175i | −0.258940 | + | 0.853612i | 0.727018 | + | 0.686619i | \(0.240906\pi\) |
−0.985958 | + | 0.166993i | \(0.946594\pi\) | |||||||
\(230\) | −0.0744619 | + | 1.34957i | −0.00490987 | + | 0.0889882i | ||||
\(231\) | 2.13563 | − | 3.19619i | 0.140514 | − | 0.210294i | ||||
\(232\) | 9.63814 | + | 21.3701i | 0.632775 | + | 1.40302i | ||||
\(233\) | −17.7873 | + | 11.8851i | −1.16529 | + | 0.778619i | −0.978997 | − | 0.203876i | \(-0.934646\pi\) |
−0.186289 | + | 0.982495i | \(0.559646\pi\) | |||||||
\(234\) | 1.40773 | − | 5.47954i | 0.0920261 | − | 0.358209i | ||||
\(235\) | 4.14026 | − | 0.407780i | 0.270081 | − | 0.0266006i | ||||
\(236\) | −5.38708 | − | 1.13927i | −0.350669 | − | 0.0741605i | ||||
\(237\) | −0.286859 | − | 0.945646i | −0.0186335 | − | 0.0614263i | ||||
\(238\) | 8.26569 | − | 2.01755i | 0.535785 | − | 0.130778i | ||||
\(239\) | −7.37289 | + | 17.7997i | −0.476913 | + | 1.15137i | 0.484137 | + | 0.874992i | \(0.339134\pi\) |
−0.961049 | + | 0.276377i | \(0.910866\pi\) | |||||||
\(240\) | −1.66399 | + | 1.05469i | −0.107410 | + | 0.0680797i | ||||
\(241\) | 0.435972 | + | 1.05253i | 0.0280834 | + | 0.0677994i | 0.937299 | − | 0.348526i | \(-0.113318\pi\) |
−0.909216 | + | 0.416325i | \(0.863318\pi\) | |||||||
\(242\) | −7.44697 | − | 10.1687i | −0.478709 | − | 0.653668i | ||||
\(243\) | −0.471397 | + | 0.881921i | −0.0302401 | + | 0.0565753i | ||||
\(244\) | 7.20313 | − | 7.03142i | 0.461133 | − | 0.450141i | ||||
\(245\) | 0.0243767 | − | 0.0297031i | 0.00155737 | − | 0.00189766i | ||||
\(246\) | 8.52090 | − | 11.3454i | 0.543273 | − | 0.723359i | ||||
\(247\) | −11.0896 | − | 2.20587i | −0.705616 | − | 0.140356i | ||||
\(248\) | 9.27583 | + | 16.1306i | 0.589016 | + | 1.02430i | ||||
\(249\) | −1.22735 | − | 6.17033i | −0.0777804 | − | 0.391029i | ||||
\(250\) | 2.25098 | + | 6.41274i | 0.142364 | + | 0.405577i | ||||
\(251\) | 12.6464 | − | 6.75965i | 0.798235 | − | 0.426665i | −0.0212445 | − | 0.999774i | \(-0.506763\pi\) |
0.819479 | + | 0.573109i | \(0.194263\pi\) | |||||||
\(252\) | 4.07210 | + | 3.42492i | 0.256518 | + | 0.215749i | ||||
\(253\) | −0.274821 | + | 2.79030i | −0.0172778 | + | 0.175425i | ||||
\(254\) | −18.1560 | + | 8.45351i | −1.13921 | + | 0.530421i | ||||
\(255\) | −1.11378 | −0.0697476 | ||||||||
\(256\) | −15.0602 | + | 5.40286i | −0.941261 | + | 0.337679i | ||||
\(257\) | −6.50313 | −0.405654 | −0.202827 | − | 0.979215i | \(-0.565013\pi\) | ||||
−0.202827 | + | 0.979215i | \(0.565013\pi\) | |||||||
\(258\) | −8.58358 | + | 3.99656i | −0.534391 | + | 0.248815i | ||||
\(259\) | 1.90144 | − | 19.3057i | 0.118150 | − | 1.19960i | ||||
\(260\) | 3.01575 | + | 2.53645i | 0.187029 | + | 0.157304i | ||||
\(261\) | −7.30969 | + | 3.90711i | −0.452458 | + | 0.241844i | ||||
\(262\) | −1.91892 | − | 5.46676i | −0.118552 | − | 0.337737i | ||||
\(263\) | 3.03519 | + | 15.2589i | 0.187158 | + | 0.940904i | 0.954168 | + | 0.299270i | \(0.0967432\pi\) |
−0.767011 | + | 0.641634i | \(0.778257\pi\) | |||||||
\(264\) | −3.54274 | + | 2.03723i | −0.218041 | + | 0.125383i | ||||
\(265\) | 1.18031 | + | 0.234778i | 0.0725057 | + | 0.0144223i | ||||
\(266\) | 6.38620 | − | 8.50313i | 0.391563 | − | 0.521360i | ||||
\(267\) | 11.8408 | − | 14.4280i | 0.724644 | − | 0.882981i | ||||
\(268\) | −7.44022 | + | 7.26286i | −0.454484 | + | 0.443650i | ||||
\(269\) | 11.4591 | − | 21.4384i | 0.698671 | − | 1.30712i | −0.242816 | − | 0.970072i | \(-0.578071\pi\) |
0.941487 | − | 0.337049i | \(-0.109429\pi\) | |||||||
\(270\) | −0.411540 | − | 0.561950i | −0.0250455 | − | 0.0341992i | ||||
\(271\) | 3.73979 | + | 9.02866i | 0.227176 | + | 0.548452i | 0.995832 | − | 0.0912111i | \(-0.0290738\pi\) |
−0.768655 | + | 0.639663i | \(0.779074\pi\) | |||||||
\(272\) | −8.82659 | − | 1.97819i | −0.535190 | − | 0.119945i | ||||
\(273\) | 4.07290 | − | 9.83285i | 0.246503 | − | 0.595111i | ||||
\(274\) | 2.83562 | − | 0.692137i | 0.171306 | − | 0.0418135i | ||||
\(275\) | 1.99538 | + | 6.57790i | 0.120326 | + | 0.396662i | ||||
\(276\) | −3.79705 | − | 0.803010i | −0.228555 | − | 0.0483355i | ||||
\(277\) | 15.4012 | − | 1.51689i | 0.925369 | − | 0.0911409i | 0.375905 | − | 0.926658i | \(-0.377332\pi\) |
0.549464 | + | 0.835517i | \(0.314832\pi\) | |||||||
\(278\) | −2.78776 | + | 10.8513i | −0.167199 | + | 0.650816i | ||||
\(279\) | −5.47002 | + | 3.65495i | −0.327481 | + | 0.218816i | ||||
\(280\) | −3.37846 | + | 1.52372i | −0.201901 | + | 0.0910595i | ||||
\(281\) | −16.6418 | + | 24.9062i | −0.992767 | + | 1.48578i | −0.122945 | + | 0.992413i | \(0.539234\pi\) |
−0.869821 | + | 0.493367i | \(0.835766\pi\) | |||||||
\(282\) | −0.658101 | + | 11.9276i | −0.0391893 | + | 0.710280i | ||||
\(283\) | −7.87390 | + | 25.9568i | −0.468055 | + | 1.54297i | 0.332141 | + | 0.943230i | \(0.392229\pi\) |
−0.800196 | + | 0.599739i | \(0.795271\pi\) | |||||||
\(284\) | 1.13121 | − | 2.05630i | 0.0671252 | − | 0.122019i | ||||
\(285\) | −1.07608 | + | 0.883117i | −0.0637415 | + | 0.0523113i | ||||
\(286\) | 6.02358 | + | 5.52599i | 0.356182 | + | 0.326759i | ||||
\(287\) | 18.8745 | − | 18.8745i | 1.11412 | − | 1.11412i | ||||
\(288\) | −2.26333 | − | 5.18433i | −0.133368 | − | 0.305490i | ||||
\(289\) | 8.40477 | + | 8.40477i | 0.494398 | + | 0.494398i | ||||
\(290\) | −0.248491 | − | 5.76774i | −0.0145919 | − | 0.338694i | ||||
\(291\) | 3.98109 | + | 4.85097i | 0.233376 | + | 0.284369i | ||||
\(292\) | 11.2165 | + | 14.0086i | 0.656397 | + | 0.819790i | ||||
\(293\) | 7.21140 | + | 2.18755i | 0.421294 | + | 0.127798i | 0.493812 | − | 0.869569i | \(-0.335603\pi\) |
−0.0725173 | + | 0.997367i | \(0.523103\pi\) | |||||||
\(294\) | 0.0736009 | + | 0.0821970i | 0.00429249 | + | 0.00479383i | ||||
\(295\) | 1.12745 | + | 0.753335i | 0.0656424 | + | 0.0438608i | ||||
\(296\) | −10.9211 | + | 17.4950i | −0.634776 | + | 1.01687i | ||||
\(297\) | −0.802730 | − | 1.20137i | −0.0465791 | − | 0.0697106i | ||||
\(298\) | −9.92733 | + | 5.86912i | −0.575075 | + | 0.339989i | ||||
\(299\) | 0.760899 | + | 7.72554i | 0.0440040 | + | 0.446780i | ||||
\(300\) | −9.35373 | + | 1.74356i | −0.540038 | + | 0.100664i | ||||
\(301\) | −17.0452 | + | 5.17060i | −0.982469 | + | 0.298029i | ||||
\(302\) | 2.60374 | − | 4.28525i | 0.149828 | − | 0.246589i | ||||
\(303\) | 6.27017 | + | 2.59719i | 0.360212 | + | 0.149205i | ||||
\(304\) | −10.0963 | + | 5.08737i | −0.579065 | + | 0.291781i | ||||
\(305\) | −2.29018 | + | 0.948625i | −0.131136 | + | 0.0543181i | ||||
\(306\) | 0.488327 | − | 3.16058i | 0.0279158 | − | 0.180678i | ||||
\(307\) | 18.7442 | + | 10.0190i | 1.06979 | + | 0.571812i | 0.909689 | − | 0.415289i | \(-0.136320\pi\) |
0.160096 | + | 0.987101i | \(0.448820\pi\) | |||||||
\(308\) | −7.13781 | + | 2.85620i | −0.406714 | + | 0.162747i | ||||
\(309\) | −10.3646 | − | 8.50599i | −0.589620 | − | 0.483889i | ||||
\(310\) | −0.645011 | − | 4.53666i | −0.0366342 | − | 0.257665i | ||||
\(311\) | −0.442616 | + | 2.22518i | −0.0250985 | + | 0.126178i | −0.991303 | − | 0.131597i | \(-0.957990\pi\) |
0.966205 | + | 0.257776i | \(0.0829895\pi\) | |||||||
\(312\) | −8.51994 | + | 7.44574i | −0.482347 | + | 0.421532i | ||||
\(313\) | −3.25665 | + | 0.647788i | −0.184077 | + | 0.0366151i | −0.286268 | − | 0.958150i | \(-0.592415\pi\) |
0.102191 | + | 0.994765i | \(0.467415\pi\) | |||||||
\(314\) | 14.1202 | − | 29.3946i | 0.796848 | − | 1.65883i | ||||
\(315\) | −0.617685 | − | 1.15561i | −0.0348026 | − | 0.0651111i | ||||
\(316\) | −0.596488 | + | 1.88423i | −0.0335551 | + | 0.105996i | ||||
\(317\) | −4.56557 | − | 0.449669i | −0.256428 | − | 0.0252559i | −0.0310136 | − | 0.999519i | \(-0.509874\pi\) |
−0.225414 | + | 0.974263i | \(0.572374\pi\) | |||||||
\(318\) | −1.18373 | + | 3.24643i | −0.0663801 | + | 0.182051i | ||||
\(319\) | − | 11.9757i | − | 0.670509i | ||||||
\(320\) | 3.93759 | + | 0.142551i | 0.220118 | + | 0.00796886i | ||||
\(321\) | − | 14.1498i | − | 0.789766i | ||||||
\(322\) | −6.85934 | − | 2.50108i | −0.382256 | − | 0.139380i | ||||
\(323\) | −6.36083 | − | 0.626487i | −0.353926 | − | 0.0348587i | ||||
\(324\) | 1.77509 | − | 0.921449i | 0.0986159 | − | 0.0511916i | ||||
\(325\) | 8.97153 | + | 16.7846i | 0.497651 | + | 0.931039i | ||||
\(326\) | −0.355640 | − | 0.170837i | −0.0196971 | − | 0.00946180i | ||||
\(327\) | 9.09870 | − | 1.80984i | 0.503159 | − | 0.100085i | ||||
\(328\) | −26.8875 | + | 9.07522i | −1.48462 | + | 0.501095i | ||||
\(329\) | −4.38421 | + | 22.0409i | −0.241709 | + | 1.21515i | ||||
\(330\) | 0.996378 | − | 0.141663i | 0.0548488 | − | 0.00779827i | ||||
\(331\) | −24.0287 | − | 19.7198i | −1.32074 | − | 1.08390i | −0.990133 | − | 0.140131i | \(-0.955248\pi\) |
−0.330604 | − | 0.943770i | \(-0.607252\pi\) | |||||||
\(332\) | −4.95495 | + | 11.5657i | −0.271938 | + | 0.634751i | ||||
\(333\) | −6.43065 | − | 3.43726i | −0.352398 | − | 0.188360i | ||||
\(334\) | −0.608593 | − | 0.0940309i | −0.0333007 | − | 0.00514514i | ||||
\(335\) | 2.36556 | − | 0.979849i | 0.129245 | − | 0.0535349i | ||||
\(336\) | −2.84261 | − | 10.2551i | −0.155077 | − | 0.559464i | ||||
\(337\) | −2.68954 | − | 1.11404i | −0.146509 | − | 0.0606859i | 0.308224 | − | 0.951314i | \(-0.400265\pi\) |
−0.454733 | + | 0.890628i | \(0.650265\pi\) | |||||||
\(338\) | 3.63010 | + | 2.20567i | 0.197451 | + | 0.119972i | ||||
\(339\) | −2.38160 | + | 0.722452i | −0.129351 | + | 0.0392382i | ||||
\(340\) | 1.83708 | + | 1.25982i | 0.0996299 | + | 0.0683231i | ||||
\(341\) | −0.931698 | − | 9.45968i | −0.0504542 | − | 0.512271i | ||||
\(342\) | −2.03423 | − | 3.44080i | −0.109999 | − | 0.186057i | ||||
\(343\) | −10.2312 | − | 15.3120i | −0.552431 | − | 0.826772i | ||||
\(344\) | 18.6785 | + | 3.11705i | 1.00708 | + | 0.168060i | ||||
\(345\) | 0.794672 | + | 0.530983i | 0.0427837 | + | 0.0285872i | ||||
\(346\) | −19.9242 | + | 17.8406i | −1.07113 | + | 0.959115i | ||||
\(347\) | 14.0768 | + | 4.27016i | 0.755685 | + | 0.229234i | 0.644541 | − | 0.764570i | \(-0.277049\pi\) |
0.111144 | + | 0.993804i | \(0.464549\pi\) | |||||||
\(348\) | 16.4761 | + | 1.82367i | 0.883213 | + | 0.0977591i | ||||
\(349\) | −17.8253 | − | 21.7202i | −0.954168 | − | 1.16266i | −0.986596 | − | 0.163183i | \(-0.947824\pi\) |
0.0324280 | − | 0.999474i | \(-0.489676\pi\) | |||||||
\(350\) | −17.8830 | + | 0.770450i | −0.955886 | + | 0.0411823i | ||||
\(351\) | −2.82874 | − | 2.82874i | −0.150987 | − | 0.150987i | ||||
\(352\) | 8.14780 | + | 0.647013i | 0.434279 | + | 0.0344859i | ||||
\(353\) | 24.2156 | − | 24.2156i | 1.28886 | − | 1.28886i | 0.353387 | − | 0.935477i | \(-0.385030\pi\) |
0.935477 | − | 0.353387i | \(-0.114970\pi\) | |||||||
\(354\) | −2.63206 | + | 2.86907i | −0.139893 | + | 0.152489i | ||||
\(355\) | −0.446763 | + | 0.366649i | −0.0237117 | + | 0.0194597i | ||||
\(356\) | −35.8502 | + | 10.4045i | −1.90006 | + | 0.551438i | ||||
\(357\) | 1.74644 | − | 5.75725i | 0.0924316 | − | 0.304706i | ||||
\(358\) | −26.9583 | − | 1.48741i | −1.42479 | − | 0.0786121i | ||||
\(359\) | −15.5277 | + | 23.2389i | −0.819523 | + | 1.22650i | 0.151723 | + | 0.988423i | \(0.451518\pi\) |
−0.971246 | + | 0.238079i | \(0.923482\pi\) | |||||||
\(360\) | 0.0431694 | + | 1.39239i | 0.00227523 | + | 0.0733854i | ||||
\(361\) | 9.15565 | − | 6.11761i | 0.481876 | − | 0.321980i | ||||
\(362\) | −23.9549 | − | 6.15417i | −1.25904 | − | 0.323456i | ||||
\(363\) | −8.86942 | + | 0.873561i | −0.465524 | + | 0.0458501i | ||||
\(364\) | −17.8400 | + | 11.6115i | −0.935071 | + | 0.608609i | ||||
\(365\) | −1.28286 | − | 4.22903i | −0.0671481 | − | 0.221358i | ||||
\(366\) | −1.68781 | − | 6.91479i | −0.0882233 | − | 0.361442i | ||||
\(367\) | 9.67364 | − | 23.3542i | 0.504960 | − | 1.21908i | −0.441792 | − | 0.897117i | \(-0.645657\pi\) |
0.946752 | − | 0.321963i | \(-0.104343\pi\) | |||||||
\(368\) | 5.35461 | + | 5.61941i | 0.279128 | + | 0.292932i | ||||
\(369\) | −3.83949 | − | 9.26935i | −0.199876 | − | 0.482543i | ||||
\(370\) | 4.09754 | − | 3.00080i | 0.213021 | − | 0.156004i | ||||
\(371\) | −3.06435 | + | 5.73300i | −0.159093 | + | 0.297643i | ||||
\(372\) | 13.1565 | + | 0.158706i | 0.682133 | + | 0.00822850i | ||||
\(373\) | −16.4838 | + | 20.0856i | −0.853498 | + | 1.03999i | 0.145221 | + | 0.989399i | \(0.453611\pi\) |
−0.998719 | + | 0.0505915i | \(0.983889\pi\) | |||||||
\(374\) | 3.69482 | + | 2.77496i | 0.191055 | + | 0.143490i | ||||
\(375\) | 4.71339 | + | 0.937552i | 0.243398 | + | 0.0484150i | ||||
\(376\) | 14.5770 | − | 18.9292i | 0.751754 | − | 0.976201i | ||||
\(377\) | −6.46864 | − | 32.5201i | −0.333152 | − | 1.67487i | ||||
\(378\) | 3.55009 | − | 1.24614i | 0.182597 | − | 0.0640947i | ||||
\(379\) | 2.53046 | − | 1.35256i | 0.129981 | − | 0.0694762i | −0.405125 | − | 0.914261i | \(-0.632772\pi\) |
0.535105 | + | 0.844785i | \(0.320272\pi\) | |||||||
\(380\) | 2.77381 | − | 0.239452i | 0.142294 | − | 0.0122836i | ||||
\(381\) | −1.38808 | + | 14.0934i | −0.0711134 | + | 0.722026i | ||||
\(382\) | 6.18778 | + | 13.2898i | 0.316595 | + | 0.679963i | ||||
\(383\) | 14.9514 | 0.763981 | 0.381991 | − | 0.924166i | \(-0.375239\pi\) | ||||
0.381991 | + | 0.924166i | \(0.375239\pi\) | |||||||
\(384\) | −2.13092 | + | 11.1112i | −0.108743 | + | 0.567017i | ||||
\(385\) | 1.89326 | 0.0964896 | ||||||||
\(386\) | −10.3700 | − | 22.2720i | −0.527818 | − | 1.13362i | ||||
\(387\) | −0.656241 | + | 6.66293i | −0.0333586 | + | 0.338696i | ||||
\(388\) | −1.07945 | − | 12.5044i | −0.0548008 | − | 0.634812i | ||||
\(389\) | −15.9232 | + | 8.51112i | −0.807337 | + | 0.431531i | −0.822787 | − | 0.568350i | \(-0.807582\pi\) |
0.0154497 | + | 0.999881i | \(0.495082\pi\) | |||||||
\(390\) | 2.62916 | − | 0.922879i | 0.133133 | − | 0.0467318i | ||||
\(391\) | 0.856106 | + | 4.30394i | 0.0432951 | + | 0.217659i | ||||
\(392\) | −0.0284240 | − | 0.218828i | −0.00143563 | − | 0.0110525i | ||||
\(393\) | −4.01809 | − | 0.799248i | −0.202686 | − | 0.0403167i | ||||
\(394\) | 10.0492 | + | 7.54738i | 0.506272 | + | 0.380231i | ||||
\(395\) | 0.308764 | − | 0.376230i | 0.0155356 | − | 0.0189302i | ||||
\(396\) | −0.0348562 | + | 2.88954i | −0.00175159 | + | 0.145205i | ||||
\(397\) | 11.4579 | − | 21.4361i | 0.575053 | − | 1.07585i | −0.411346 | − | 0.911479i | \(-0.634941\pi\) |
0.986399 | − | 0.164369i | \(-0.0525588\pi\) | |||||||
\(398\) | −28.6007 | + | 20.9455i | −1.43362 | + | 1.04990i | ||||
\(399\) | −2.87760 | − | 6.94714i | −0.144060 | − | 0.347792i | ||||
\(400\) | 17.4004 | + | 7.70433i | 0.870018 | + | 0.385216i | ||||
\(401\) | −7.95427 | + | 19.2033i | −0.397217 | + | 0.958967i | 0.591106 | + | 0.806594i | \(0.298692\pi\) |
−0.988323 | + | 0.152373i | \(0.951308\pi\) | |||||||
\(402\) | 1.74336 | + | 7.14239i | 0.0869511 | + | 0.356230i | ||||
\(403\) | −7.63967 | − | 25.1846i | −0.380559 | − | 1.25453i | ||||
\(404\) | −7.40439 | − | 11.3761i | −0.368382 | − | 0.565984i | ||||
\(405\) | −0.490149 | + | 0.0482755i | −0.0243557 | + | 0.00239883i | ||||
\(406\) | 30.2038 | + | 7.75954i | 1.49899 | + | 0.385100i | ||||
\(407\) | 8.75996 | − | 5.85322i | 0.434215 | − | 0.290133i | ||||
\(408\) | −4.38044 | + | 4.66076i | −0.216864 | + | 0.230742i | ||||
\(409\) | 19.8185 | − | 29.6605i | 0.979962 | − | 1.46662i | 0.0980618 | − | 0.995180i | \(-0.468736\pi\) |
0.881900 | − | 0.471436i | \(-0.156264\pi\) | |||||||
\(410\) | 6.97771 | + | 0.384991i | 0.344605 | + | 0.0190134i | ||||
\(411\) | 0.599133 | − | 1.97508i | 0.0295531 | − | 0.0974234i | ||||
\(412\) | 7.47422 | + | 25.7535i | 0.368228 | + | 1.26878i | ||||
\(413\) | −5.66195 | + | 4.64664i | −0.278606 | + | 0.228646i | ||||
\(414\) | −1.85519 | + | 2.02224i | −0.0911777 | + | 0.0993878i | ||||
\(415\) | 2.19101 | − | 2.19101i | 0.107552 | − | 0.107552i | ||||
\(416\) | 22.4749 | − | 2.64406i | 1.10192 | − | 0.129635i | ||||
\(417\) | 5.60182 | + | 5.60182i | 0.274322 | + | 0.274322i | ||||
\(418\) | 5.77003 | − | 0.248589i | 0.282221 | − | 0.0121589i | ||||
\(419\) | 18.8965 | + | 23.0255i | 0.923155 | + | 1.12487i | 0.991873 | + | 0.127232i | \(0.0406093\pi\) |
−0.0687175 | + | 0.997636i | \(0.521891\pi\) | |||||||
\(420\) | −0.288309 | + | 2.60475i | −0.0140680 | + | 0.127099i | ||||
\(421\) | −13.4045 | − | 4.06621i | −0.653296 | − | 0.198175i | −0.0537984 | − | 0.998552i | \(-0.517133\pi\) |
−0.599497 | + | 0.800377i | \(0.704633\pi\) | |||||||
\(422\) | −5.25490 | + | 4.70535i | −0.255805 | + | 0.229053i | ||||
\(423\) | 7.02338 | + | 4.69287i | 0.341488 | + | 0.228175i | ||||
\(424\) | 5.62455 | − | 4.01578i | 0.273152 | − | 0.195024i | ||||
\(425\) | 5.97703 | + | 8.94526i | 0.289929 | + | 0.433909i | ||||
\(426\) | −0.844563 | − | 1.42854i | −0.0409192 | − | 0.0692128i | ||||
\(427\) | −1.31247 | − | 13.3257i | −0.0635147 | − | 0.644876i | ||||
\(428\) | −16.0051 | + | 23.3389i | −0.773637 | + | 1.12813i | ||||
\(429\) | 5.53125 | − | 1.67789i | 0.267051 | − | 0.0810092i | ||||
\(430\) | −3.98538 | − | 2.42154i | −0.192192 | − | 0.116777i | ||||
\(431\) | −16.1560 | − | 6.69204i | −0.778208 | − | 0.322344i | −0.0420161 | − | 0.999117i | \(-0.513378\pi\) |
−0.736192 | + | 0.676773i | \(0.763378\pi\) | |||||||
\(432\) | −3.97012 | − | 0.487979i | −0.191013 | − | 0.0234779i | ||||
\(433\) | −32.5441 | + | 13.4802i | −1.56397 | + | 0.647818i | −0.985773 | − | 0.168080i | \(-0.946243\pi\) |
−0.578197 | + | 0.815897i | \(0.696243\pi\) | |||||||
\(434\) | 24.4619 | + | 3.77950i | 1.17421 | + | 0.181422i | ||||
\(435\) | −3.60017 | − | 1.92433i | −0.172615 | − | 0.0922647i | ||||
\(436\) | −17.0547 | − | 7.30652i | −0.816771 | − | 0.349919i | ||||
\(437\) | 4.23972 | + | 3.47945i | 0.202814 | + | 0.166445i | ||||
\(438\) | 12.5632 | − | 1.78621i | 0.600294 | − | 0.0853483i | ||||
\(439\) | −6.17593 | + | 31.0485i | −0.294761 | + | 1.48186i | 0.495239 | + | 0.868757i | \(0.335080\pi\) |
−0.790000 | + | 0.613107i | \(0.789920\pi\) | |||||||
\(440\) | −1.80368 | − | 0.893361i | −0.0859870 | − | 0.0425893i | ||||
\(441\) | 0.0765183 | − | 0.0152204i | 0.00364373 | − | 0.000724783i | ||||
\(442\) | 11.5322 | + | 5.53969i | 0.548531 | + | 0.263496i | ||||
\(443\) | 13.1436 | + | 24.5899i | 0.624471 | + | 1.16830i | 0.972956 | + | 0.230989i | \(0.0741961\pi\) |
−0.348485 | + | 0.937314i | \(0.613304\pi\) | |||||||
\(444\) | 6.71888 | + | 12.9433i | 0.318864 | + | 0.614261i | ||||
\(445\) | 9.14850 | + | 0.901049i | 0.433680 | + | 0.0427138i | ||||
\(446\) | −5.75806 | − | 2.09952i | −0.272652 | − | 0.0994154i | ||||
\(447\) | 8.15470i | 0.385704i | ||||||||
\(448\) | −6.91113 | + | 20.1303i | −0.326520 | + | 0.951068i | ||||
\(449\) | − | 7.36597i | − | 0.347622i | −0.984779 | − | 0.173811i | \(-0.944392\pi\) | ||
0.984779 | − | 0.173811i | \(-0.0556081\pi\) | |||||||
\(450\) | −2.30476 | + | 6.32094i | −0.108648 | + | 0.297972i | ||||
\(451\) | 14.4267 | + | 1.42091i | 0.679328 | + | 0.0669080i | ||||
\(452\) | 4.74543 | + | 1.50225i | 0.223206 | + | 0.0706600i | ||||
\(453\) | −1.67139 | − | 3.12696i | −0.0785289 | − | 0.146917i | ||||
\(454\) | −2.64922 | + | 5.51500i | −0.124334 | + | 0.258832i | ||||
\(455\) | 5.14117 | − | 1.02264i | 0.241022 | − | 0.0479422i | ||||
\(456\) | −0.536660 | + | 7.97626i | −0.0251314 | + | 0.373523i | ||||
\(457\) | 5.89343 | − | 29.6283i | 0.275683 | − | 1.38595i | −0.556221 | − | 0.831034i | \(-0.687749\pi\) |
0.831904 | − | 0.554919i | \(-0.187251\pi\) | |||||||
\(458\) | −2.68716 | − | 18.9000i | −0.125563 | − | 0.883140i | ||||
\(459\) | −1.74808 | − | 1.43461i | −0.0815932 | − | 0.0669618i | ||||
\(460\) | −0.710140 | − | 1.77468i | −0.0331105 | − | 0.0827448i | ||||
\(461\) | 9.48343 | + | 5.06900i | 0.441688 | + | 0.236087i | 0.677221 | − | 0.735779i | \(-0.263184\pi\) |
−0.235534 | + | 0.971866i | \(0.575684\pi\) | |||||||
\(462\) | −0.830085 | + | 5.37253i | −0.0386190 | + | 0.249953i | ||||
\(463\) | 27.6722 | − | 11.4622i | 1.28604 | − | 0.532694i | 0.368235 | − | 0.929733i | \(-0.379962\pi\) |
0.917802 | + | 0.397039i | \(0.129962\pi\) | |||||||
\(464\) | −25.1132 | − | 21.6444i | −1.16585 | − | 1.00482i | ||||
\(465\) | −2.99352 | − | 1.23996i | −0.138821 | − | 0.0575016i | ||||
\(466\) | 15.7098 | − | 25.8552i | 0.727740 | − | 1.19772i | ||||
\(467\) | 31.4606 | − | 9.54347i | 1.45582 | − | 0.441619i | 0.539475 | − | 0.842001i | \(-0.318623\pi\) |
0.916348 | + | 0.400382i | \(0.131123\pi\) | |||||||
\(468\) | 1.46613 | + | 7.86541i | 0.0677719 | + | 0.363579i | ||||
\(469\) | 1.35567 | + | 13.7643i | 0.0625989 | + | 0.635577i | ||||
\(470\) | −5.06463 | + | 2.99425i | −0.233614 | + | 0.138115i | ||||
\(471\) | −12.8108 | − | 19.1728i | −0.590292 | − | 0.883434i | ||||
\(472\) | 7.58662 | − | 1.75511i | 0.349203 | − | 0.0807855i | ||||
\(473\) | −8.04337 | − | 5.37441i | −0.369835 | − | 0.247116i | ||||
\(474\) | 0.932256 | + | 1.04114i | 0.0428199 | + | 0.0478210i | ||||
\(475\) | 12.8674 | + | 3.90329i | 0.590398 | + | 0.179095i | ||||
\(476\) | −9.39275 | + | 7.52067i | −0.430516 | + | 0.344709i | ||||
\(477\) | 1.55008 | + | 1.88878i | 0.0709735 | + | 0.0864814i | ||||
\(478\) | −1.17278 | − | 27.2214i | −0.0536415 | − | 1.24508i | ||||
\(479\) | −16.5691 | − | 16.5691i | −0.757060 | − | 0.757060i | 0.218726 | − | 0.975786i | \(-0.429810\pi\) |
−0.975786 | + | 0.218726i | \(0.929810\pi\) | |||||||
\(480\) | 1.50375 | − | 2.34546i | 0.0686366 | − | 0.107055i | ||||
\(481\) | 20.6262 | − | 20.6262i | 0.940472 | − | 0.940472i | ||||
\(482\) | −1.18723 | − | 1.08916i | −0.0540769 | − | 0.0496098i | ||||
\(483\) | −3.99078 | + | 3.27515i | −0.181587 | + | 0.149025i | ||||
\(484\) | 15.6175 | + | 8.59149i | 0.709884 | + | 0.390522i | ||||
\(485\) | −0.897205 | + | 2.95769i | −0.0407400 | + | 0.134302i | ||||
\(486\) | 0.0779099 | − | 1.41207i | 0.00353407 | − | 0.0640526i | ||||
\(487\) | −17.2675 | + | 25.8426i | −0.782464 | + | 1.17104i | 0.199113 | + | 0.979976i | \(0.436194\pi\) |
−0.981578 | + | 0.191064i | \(0.938806\pi\) | |||||||
\(488\) | −5.03754 | + | 13.3145i | −0.228039 | + | 0.602718i | ||||
\(489\) | −0.231967 | + | 0.154996i | −0.0104899 | + | 0.00700914i | ||||
\(490\) | −0.0135216 | + | 0.0526323i | −0.000610842 | + | 0.00237768i | ||||
\(491\) | 30.1305 | − | 2.96759i | 1.35977 | − | 0.133926i | 0.608307 | − | 0.793702i | \(-0.291849\pi\) |
0.751462 | + | 0.659776i | \(0.229349\pi\) | |||||||
\(492\) | −4.15181 | + | 19.6319i | −0.187178 | + | 0.885075i | ||||
\(493\) | −5.44087 | − | 17.9361i | −0.245044 | − | 0.807803i | ||||
\(494\) | 15.5343 | − | 3.79172i | 0.698921 | − | 0.170598i | ||||
\(495\) | 0.272329 | − | 0.657462i | 0.0122403 | − | 0.0295507i | ||||
\(496\) | −21.5210 | − | 15.1433i | −0.966323 | − | 0.679956i | ||||
\(497\) | −1.19471 | − | 2.88429i | −0.0535901 | − | 0.129378i | ||||
\(498\) | 5.25681 | + | 7.17807i | 0.235563 | + | 0.321657i | ||||
\(499\) | 3.23236 | − | 6.04731i | 0.144700 | − | 0.270715i | −0.799122 | − | 0.601169i | \(-0.794702\pi\) |
0.943822 | + | 0.330454i | \(0.107202\pi\) | |||||||
\(500\) | −6.71386 | − | 6.87781i | −0.300253 | − | 0.307585i | ||||
\(501\) | −0.276244 | + | 0.336605i | −0.0123417 | + | 0.0150384i | ||||
\(502\) | −12.1784 | + | 16.2153i | −0.543547 | + | 0.723725i | ||||
\(503\) | −0.955393 | − | 0.190039i | −0.0425989 | − | 0.00847344i | 0.173745 | − | 0.984791i | \(-0.444413\pi\) |
−0.216344 | + | 0.976317i | \(0.569413\pi\) | |||||||
\(504\) | −7.26511 | − | 1.96017i | −0.323614 | − | 0.0873128i | ||||
\(505\) | 0.652115 | + | 3.27840i | 0.0290187 | + | 0.145887i | ||||
\(506\) | −1.31329 | − | 3.74138i | −0.0583828 | − | 0.166325i | ||||
\(507\) | 2.64889 | − | 1.41586i | 0.117641 | − | 0.0628807i | ||||
\(508\) | 18.2308 | − | 21.6758i | 0.808861 | − | 0.961707i | ||||
\(509\) | 0.750657 | − | 7.62155i | 0.0332723 | − | 0.337819i | −0.964110 | − | 0.265505i | \(-0.914461\pi\) |
0.997382 | − | 0.0723145i | \(-0.0230385\pi\) | |||||||
\(510\) | 1.42793 | − | 0.664851i | 0.0632298 | − | 0.0294401i | ||||
\(511\) | 23.8719 | 1.05603 | ||||||||
\(512\) | 16.0829 | − | 15.9167i | 0.710769 | − | 0.703425i | ||||
\(513\) | −2.82641 | −0.124789 | ||||||||
\(514\) | 8.33738 | − | 3.88193i | 0.367746 | − | 0.171225i | ||||
\(515\) | 0.647281 | − | 6.57195i | 0.0285226 | − | 0.289595i | ||||
\(516\) | 8.61897 | − | 10.2476i | 0.379429 | − | 0.451128i | ||||
\(517\) | −10.7637 | + | 5.75330i | −0.473385 | + | 0.253030i | ||||
\(518\) | 9.08643 | + | 25.8860i | 0.399235 | + | 1.13737i | ||||
\(519\) | 3.68938 | + | 18.5477i | 0.161946 | + | 0.814156i | ||||
\(520\) | −5.38046 | − | 1.45168i | −0.235949 | − | 0.0636602i | ||||
\(521\) | 25.1791 | + | 5.00843i | 1.10312 | + | 0.219424i | 0.712876 | − | 0.701290i | \(-0.247392\pi\) |
0.390240 | + | 0.920713i | \(0.372392\pi\) | |||||||
\(522\) | 7.03916 | − | 9.37253i | 0.308096 | − | 0.410225i | ||||
\(523\) | −16.2186 | + | 19.7624i | −0.709189 | + | 0.864149i | −0.995575 | − | 0.0939652i | \(-0.970046\pi\) |
0.286387 | + | 0.958114i | \(0.407546\pi\) | |||||||
\(524\) | 5.72346 | + | 5.86323i | 0.250030 | + | 0.256136i | ||||
\(525\) | −5.96643 | + | 11.1624i | −0.260396 | + | 0.487167i | ||||
\(526\) | −12.9998 | − | 17.7510i | −0.566819 | − | 0.773980i | ||||
\(527\) | −5.69320 | − | 13.7446i | −0.248000 | − | 0.598725i | ||||
\(528\) | 3.32591 | − | 4.72663i | 0.144741 | − | 0.205700i | ||||
\(529\) | −7.36069 | + | 17.7703i | −0.320030 | + | 0.772620i | ||||
\(530\) | −1.65337 | + | 0.403566i | −0.0718177 | + | 0.0175298i | ||||
\(531\) | 0.799188 | + | 2.63457i | 0.0346818 | + | 0.114331i | ||||
\(532\) | −3.11168 | + | 14.7136i | −0.134908 | + | 0.637917i | ||||
\(533\) | 39.9435 | − | 3.93409i | 1.73014 | − | 0.170404i | ||||
\(534\) | −6.56799 | + | 25.5657i | −0.284225 | + | 1.10634i | ||||
\(535\) | 5.79458 | − | 3.87181i | 0.250521 | − | 0.167393i | ||||
\(536\) | 5.20335 | − | 13.7527i | 0.224751 | − | 0.594027i | ||||
\(537\) | −10.6066 | + | 15.8739i | −0.457710 | + | 0.685011i | ||||
\(538\) | −1.89389 | + | 34.3255i | −0.0816514 | + | 1.47988i | ||||
\(539\) | −0.0327225 | + | 0.107872i | −0.00140946 | + | 0.00464636i | ||||
\(540\) | 0.863065 | + | 0.474790i | 0.0371404 | + | 0.0204317i | ||||
\(541\) | −23.1784 | + | 19.0220i | −0.996517 | + | 0.817820i | −0.983281 | − | 0.182092i | \(-0.941713\pi\) |
−0.0132354 | + | 0.999912i | \(0.504213\pi\) | |||||||
\(542\) | −10.1841 | − | 9.34286i | −0.437446 | − | 0.401310i | ||||
\(543\) | −12.3664 | + | 12.3664i | −0.530693 | + | 0.530693i | ||||
\(544\) | 12.4970 | − | 2.73272i | 0.535806 | − | 0.117165i | ||||
\(545\) | 3.23084 | + | 3.23084i | 0.138394 | + | 0.138394i | ||||
\(546\) | 0.647859 | + | 15.0375i | 0.0277258 | + | 0.643547i | ||||
\(547\) | −20.4954 | − | 24.9737i | −0.876319 | − | 1.06780i | −0.997174 | − | 0.0751277i | \(-0.976064\pi\) |
0.120855 | − | 0.992670i | \(-0.461436\pi\) | |||||||
\(548\) | −3.22227 | + | 2.58003i | −0.137648 | + | 0.110214i | ||||
\(549\) | −4.81632 | − | 1.46102i | −0.205556 | − | 0.0623546i | ||||
\(550\) | −6.48476 | − | 7.24214i | −0.276511 | − | 0.308806i | ||||
\(551\) | −19.4783 | − | 13.0150i | −0.829803 | − | 0.554456i | ||||
\(552\) | 5.34738 | − | 1.23708i | 0.227599 | − | 0.0526535i | ||||
\(553\) | 1.46062 | + | 2.18598i | 0.0621120 | + | 0.0929572i | ||||
\(554\) | −18.8398 | + | 11.1382i | −0.800424 | + | 0.473218i | ||||
\(555\) | −0.352007 | − | 3.57399i | −0.0149419 | − | 0.151707i | ||||
\(556\) | −2.90341 | − | 15.5761i | −0.123132 | − | 0.660572i | ||||
\(557\) | 10.7879 | − | 3.27247i | 0.457097 | − | 0.138659i | −0.0533355 | − | 0.998577i | \(-0.516985\pi\) |
0.510433 | + | 0.859918i | \(0.329485\pi\) | |||||||
\(558\) | 4.83112 | − | 7.95109i | 0.204517 | − | 0.336596i | ||||
\(559\) | −24.7448 | − | 10.2496i | −1.04660 | − | 0.433514i | ||||
\(560\) | 3.42182 | − | 3.97020i | 0.144598 | − | 0.167772i | ||||
\(561\) | 3.01870 | − | 1.25039i | 0.127450 | − | 0.0527914i | ||||
\(562\) | 6.46841 | − | 41.8652i | 0.272853 | − | 1.76598i | ||||
\(563\) | 32.7352 | + | 17.4974i | 1.37963 | + | 0.737425i | 0.983523 | − | 0.180781i | \(-0.0578625\pi\) |
0.396103 | + | 0.918206i | \(0.370362\pi\) | |||||||
\(564\) | −6.27628 | − | 15.6848i | −0.264279 | − | 0.660447i | ||||
\(565\) | −0.947533 | − | 0.777620i | −0.0398630 | − | 0.0327147i | ||||
\(566\) | −5.39965 | − | 37.9782i | −0.226964 | − | 1.59634i | ||||
\(567\) | 0.519029 | − | 2.60933i | 0.0217972 | − | 0.109582i | ||||
\(568\) | −0.222808 | + | 3.31155i | −0.00934882 | + | 0.138950i | ||||
\(569\) | 21.9136 | − | 4.35889i | 0.918666 | − | 0.182734i | 0.286961 | − | 0.957942i | \(-0.407355\pi\) |
0.631706 | + | 0.775208i | \(0.282355\pi\) | |||||||
\(570\) | 0.852436 | − | 1.77455i | 0.0357046 | − | 0.0743279i | ||||
\(571\) | 14.9934 | + | 28.0507i | 0.627454 | + | 1.17388i | 0.971970 | + | 0.235103i | \(0.0755428\pi\) |
−0.344517 | + | 0.938780i | \(0.611957\pi\) | |||||||
\(572\) | −11.0212 | − | 3.48897i | −0.460821 | − | 0.145881i | ||||
\(573\) | 10.3160 | + | 1.01604i | 0.430959 | + | 0.0424458i | ||||
\(574\) | −12.9314 | + | 35.4649i | −0.539744 | + | 1.48028i | ||||
\(575\) | − | 9.23185i | − | 0.384995i | ||||||
\(576\) | 5.99642 | + | 5.29556i | 0.249851 | + | 0.220648i | ||||
\(577\) | − | 2.08304i | − | 0.0867183i | −0.999060 | − | 0.0433591i | \(-0.986194\pi\) | ||
0.999060 | − | 0.0433591i | \(-0.0138060\pi\) | |||||||
\(578\) | −15.7925 | − | 5.75831i | −0.656880 | − | 0.239514i | ||||
\(579\) | −17.2885 | − | 1.70276i | −0.718484 | − | 0.0707645i | ||||
\(580\) | 3.76153 | + | 7.24624i | 0.156189 | + | 0.300884i | ||||
\(581\) | 7.88999 | + | 14.7611i | 0.327332 | + | 0.612395i | ||||
\(582\) | −7.99969 | − | 3.84278i | −0.331598 | − | 0.159288i | ||||
\(583\) | −3.46259 | + | 0.688752i | −0.143406 | + | 0.0285252i | ||||
\(584\) | −22.7424 | − | 11.2643i | −0.941087 | − | 0.466120i | ||||
\(585\) | 0.384387 | − | 1.93244i | 0.0158924 | − | 0.0798966i | ||||
\(586\) | −10.5512 | + | 1.50015i | −0.435868 | + | 0.0619707i | ||||
\(587\) | −7.68357 | − | 6.30574i | −0.317135 | − | 0.260266i | 0.462335 | − | 0.886705i | \(-0.347012\pi\) |
−0.779470 | + | 0.626439i | \(0.784512\pi\) | |||||||
\(588\) | −0.143427 | − | 0.0614464i | −0.00591482 | − | 0.00253401i | ||||
\(589\) | −16.3986 | − | 8.76524i | −0.675693 | − | 0.361166i | ||||
\(590\) | −1.89514 | − | 0.292809i | −0.0780217 | − | 0.0120548i | ||||
\(591\) | 8.21032 | − | 3.40082i | 0.337727 | − | 0.139891i | ||||
\(592\) | 3.55817 | − | 28.9487i | 0.146240 | − | 1.18978i | ||||
\(593\) | 28.6594 | + | 11.8711i | 1.17690 | + | 0.487488i | 0.883468 | − | 0.468492i | \(-0.155203\pi\) |
0.293432 | + | 0.955980i | \(0.405203\pi\) | |||||||
\(594\) | 1.74628 | + | 1.06105i | 0.0716509 | + | 0.0435354i | ||||
\(595\) | 2.83557 | − | 0.860160i | 0.116247 | − | 0.0352631i | ||||
\(596\) | 9.22393 | − | 13.4505i | 0.377827 | − | 0.550954i | ||||
\(597\) | 2.45700 | + | 24.9464i | 0.100558 | + | 1.02099i | ||||
\(598\) | −5.58715 | − | 9.45038i | −0.228475 | − | 0.386455i | ||||
\(599\) | −21.0487 | − | 31.5016i | −0.860027 | − | 1.28712i | −0.956484 | − | 0.291785i | \(-0.905751\pi\) |
0.0964568 | − | 0.995337i | \(-0.469249\pi\) | |||||||
\(600\) | 10.9512 | − | 7.81889i | 0.447082 | − | 0.319205i | ||||
\(601\) | −8.82262 | − | 5.89509i | −0.359882 | − | 0.240466i | 0.362463 | − | 0.931998i | \(-0.381936\pi\) |
−0.722345 | + | 0.691533i | \(0.756936\pi\) | |||||||
\(602\) | 18.7664 | − | 16.8038i | 0.764862 | − | 0.684874i | ||||
\(603\) | 4.97485 | + | 1.50910i | 0.202592 | + | 0.0614555i | ||||
\(604\) | −0.780135 | + | 7.04820i | −0.0317433 | + | 0.286787i | ||||
\(605\) | −2.78467 | − | 3.39314i | −0.113213 | − | 0.137951i | ||||
\(606\) | −9.58906 | + | 0.413124i | −0.389529 | + | 0.0167820i | ||||
\(607\) | −6.53237 | − | 6.53237i | −0.265141 | − | 0.265141i | 0.561998 | − | 0.827139i | \(-0.310033\pi\) |
−0.827139 | + | 0.561998i | \(0.810033\pi\) | |||||||
\(608\) | 9.90727 | − | 12.5491i | 0.401793 | − | 0.508935i | ||||
\(609\) | 15.5923 | − | 15.5923i | 0.631832 | − | 0.631832i | ||||
\(610\) | 2.36988 | − | 2.58328i | 0.0959537 | − | 0.104594i | ||||
\(611\) | −26.1212 | + | 21.4371i | −1.05675 | + | 0.867253i | ||||
\(612\) | 1.26059 | + | 4.34354i | 0.0509564 | + | 0.175577i | ||||
\(613\) | 6.79555 | − | 22.4019i | 0.274470 | − | 0.904805i | −0.706013 | − | 0.708199i | \(-0.749508\pi\) |
0.980483 | − | 0.196606i | \(-0.0629920\pi\) | |||||||
\(614\) | −30.0117 | − | 1.65588i | −1.21117 | − | 0.0668259i | ||||
\(615\) | 2.74535 | − | 4.10870i | 0.110703 | − | 0.165679i | ||||
\(616\) | 7.44612 | − | 7.92261i | 0.300013 | − | 0.319211i | ||||
\(617\) | −24.2117 | + | 16.1778i | −0.974728 | + | 0.651293i | −0.937489 | − | 0.348014i | \(-0.886856\pi\) |
−0.0372389 | + | 0.999306i | \(0.511856\pi\) | |||||||
\(618\) | 18.3655 | + | 4.71821i | 0.738769 | + | 0.189794i | ||||
\(619\) | 33.9761 | − | 3.34636i | 1.36562 | − | 0.134502i | 0.611501 | − | 0.791243i | \(-0.290566\pi\) |
0.754115 | + | 0.656742i | \(0.228066\pi\) | |||||||
\(620\) | 3.53502 | + | 5.43123i | 0.141970 | + | 0.218123i | ||||
\(621\) | 0.563302 | + | 1.85696i | 0.0226045 | + | 0.0745171i | ||||
\(622\) | −0.760825 | − | 3.11702i | −0.0305063 | − | 0.124981i | ||||
\(623\) | −19.0028 | + | 45.8768i | −0.761331 | + | 1.83801i | ||||
\(624\) | 6.47845 | − | 14.6317i | 0.259346 | − | 0.585737i | ||||
\(625\) | −8.19715 | − | 19.7897i | −0.327886 | − | 0.791587i | ||||
\(626\) | 3.78853 | − | 2.77450i | 0.151420 | − | 0.110891i | ||||
\(627\) | 1.92510 | − | 3.60160i | 0.0768809 | − | 0.143834i | ||||
\(628\) | −0.556273 | + | 46.1144i | −0.0221977 | + | 1.84016i | ||||
\(629\) | 10.4606 | − | 12.7463i | 0.417093 | − | 0.508230i | ||||
\(630\) | 1.48173 | + | 1.11284i | 0.0590334 | + | 0.0443365i | ||||
\(631\) | −42.1581 | − | 8.38576i | −1.67829 | − | 0.333832i | −0.738152 | − | 0.674635i | \(-0.764301\pi\) |
−0.940135 | + | 0.340803i | \(0.889301\pi\) | |||||||
\(632\) | −0.360029 | − | 2.77176i | −0.0143212 | − | 0.110255i | ||||
\(633\) | 0.973052 | + | 4.89186i | 0.0386753 | + | 0.194434i | ||||
\(634\) | 6.12174 | − | 2.14883i | 0.243125 | − | 0.0853411i | ||||
\(635\) | −6.15129 | + | 3.28793i | −0.244106 | + | 0.130478i | ||||
\(636\) | −0.420296 | − | 4.86872i | −0.0166658 | − | 0.193057i | ||||
\(637\) | −0.0305916 | + | 0.310601i | −0.00121208 | + | 0.0123065i | ||||
\(638\) | 7.14867 | + | 15.3535i | 0.283019 | + | 0.607851i | ||||
\(639\) | −1.17346 | −0.0464213 | ||||||||
\(640\) | −5.13330 | + | 2.16771i | −0.202912 | + | 0.0856865i | ||||
\(641\) | −3.91889 | −0.154787 | −0.0773933 | − | 0.997001i | \(-0.524660\pi\) | ||||
−0.0773933 | + | 0.997001i | \(0.524660\pi\) | |||||||
\(642\) | 8.44649 | + | 18.1409i | 0.333357 | + | 0.715964i | ||||
\(643\) | −1.16580 | + | 11.8365i | −0.0459745 | + | 0.466787i | 0.944442 | + | 0.328677i | \(0.106603\pi\) |
−0.990417 | + | 0.138110i | \(0.955897\pi\) | |||||||
\(644\) | 10.2870 | − | 0.888039i | 0.405366 | − | 0.0349936i | ||||
\(645\) | −2.90814 | + | 1.55443i | −0.114508 | + | 0.0612058i | ||||
\(646\) | 8.52891 | − | 2.99379i | 0.335566 | − | 0.117789i | ||||
\(647\) | −4.73645 | − | 23.8117i | −0.186209 | − | 0.936136i | −0.954993 | − | 0.296628i | \(-0.904138\pi\) |
0.768784 | − | 0.639508i | \(-0.220862\pi\) | |||||||
\(648\) | −1.72572 | + | 2.24096i | −0.0677926 | + | 0.0880332i | ||||
\(649\) | −3.90148 | − | 0.776052i | −0.153146 | − | 0.0304627i | ||||
\(650\) | −21.5213 | − | 16.1634i | −0.844134 | − | 0.633979i | ||||
\(651\) | 11.1034 | − | 13.5296i | 0.435177 | − | 0.530265i | ||||
\(652\) | 0.557929 | + | 0.00673023i | 0.0218502 | + | 0.000263576i | ||||
\(653\) | −7.37339 | + | 13.7946i | −0.288543 | + | 0.539826i | −0.983874 | − | 0.178864i | \(-0.942758\pi\) |
0.695331 | + | 0.718690i | \(0.255258\pi\) | |||||||
\(654\) | −10.5847 | + | 7.75164i | −0.413895 | + | 0.303113i | ||||
\(655\) | −0.772165 | − | 1.86417i | −0.0301710 | − | 0.0728392i | ||||
\(656\) | 29.0541 | − | 27.6850i | 1.13437 | − | 1.08092i | ||||
\(657\) | 3.43377 | − | 8.28986i | 0.133964 | − | 0.323418i | ||||
\(658\) | −7.53613 | − | 30.8748i | −0.293789 | − | 1.20362i | ||||
\(659\) | 13.9483 | + | 45.9815i | 0.543350 | + | 1.79119i | 0.608793 | + | 0.793329i | \(0.291654\pi\) |
−0.0654429 | + | 0.997856i | \(0.520846\pi\) | |||||||
\(660\) | −1.19285 | + | 0.776391i | −0.0464317 | + | 0.0302210i | ||||
\(661\) | 22.5086 | − | 2.21691i | 0.875484 | − | 0.0862277i | 0.349716 | − | 0.936856i | \(-0.386278\pi\) |
0.525768 | + | 0.850628i | \(0.323778\pi\) | |||||||
\(662\) | 42.5776 | + | 10.9385i | 1.65483 | + | 0.425135i | ||||
\(663\) | 7.52193 | − | 5.02599i | 0.292128 | − | 0.195193i | ||||
\(664\) | −0.551425 | − | 17.7857i | −0.0213994 | − | 0.690219i | ||||
\(665\) | 2.05757 | − | 3.07937i | 0.0797891 | − | 0.119413i | ||||
\(666\) | 10.2963 | + | 0.568091i | 0.398973 | + | 0.0220131i | ||||
\(667\) | −4.66886 | + | 15.3912i | −0.180779 | + | 0.595948i | ||||
\(668\) | 0.836381 | − | 0.242736i | 0.0323606 | − | 0.00939174i | ||||
\(669\) | −3.35005 | + | 2.74932i | −0.129521 | + | 0.106295i | ||||
\(670\) | −2.44789 | + | 2.66831i | −0.0945701 | + | 0.103086i | ||||
\(671\) | 5.14217 | − | 5.14217i | 0.198511 | − | 0.198511i | ||||
\(672\) | 9.76601 | + | 11.4508i | 0.376732 | + | 0.441725i | ||||
\(673\) | −9.25626 | − | 9.25626i | −0.356803 | − | 0.356803i | 0.505830 | − | 0.862633i | \(-0.331186\pi\) |
−0.862633 | + | 0.505830i | \(0.831186\pi\) | |||||||
\(674\) | 4.11316 | − | 0.177207i | 0.158433 | − | 0.00682574i | ||||
\(675\) | 3.01808 | + | 3.67754i | 0.116166 | + | 0.141549i | ||||
\(676\) | −5.97063 | − | 0.660864i | −0.229640 | − | 0.0254179i | ||||
\(677\) | −19.6957 | − | 5.97462i | −0.756967 | − | 0.229623i | −0.111869 | − | 0.993723i | \(-0.535684\pi\) |
−0.645098 | + | 0.764100i | \(0.723184\pi\) | |||||||
\(678\) | 2.62210 | − | 2.34788i | 0.100701 | − | 0.0901699i | ||||
\(679\) | −13.8818 | − | 9.27552i | −0.532734 | − | 0.355962i | ||||
\(680\) | −3.10727 | − | 0.518540i | −0.119158 | − | 0.0198851i | ||||
\(681\) | 2.40356 | + | 3.59718i | 0.0921046 | + | 0.137844i | ||||
\(682\) | 6.84129 | + | 11.5717i | 0.261966 | + | 0.443103i | ||||
\(683\) | 1.52620 | + | 15.4958i | 0.0583985 | + | 0.592930i | 0.979200 | + | 0.202898i | \(0.0650361\pi\) |
−0.920801 | + | 0.390032i | \(0.872464\pi\) | |||||||
\(684\) | 4.66192 | + | 3.19700i | 0.178253 | + | 0.122240i | ||||
\(685\) | 0.972766 | − | 0.295085i | 0.0371675 | − | 0.0112746i | ||||
\(686\) | 22.2572 | + | 13.5236i | 0.849784 | + | 0.516333i | ||||
\(687\) | −12.4712 | − | 5.16574i | −0.475806 | − | 0.197085i | ||||
\(688\) | −25.8076 | + | 7.15356i | −0.983904 | + | 0.272727i | ||||
\(689\) | −9.03067 | + | 3.74063i | −0.344041 | + | 0.142507i | ||||
\(690\) | −1.33578 | − | 0.206385i | −0.0508521 | − | 0.00785693i | ||||
\(691\) | 0.0903652 | + | 0.0483012i | 0.00343765 | + | 0.00183746i | 0.473115 | − | 0.881001i | \(-0.343130\pi\) |
−0.469677 | + | 0.882838i | \(0.655630\pi\) | |||||||
\(692\) | 14.8944 | − | 34.7661i | 0.566199 | − | 1.32161i | ||||
\(693\) | 2.97147 | + | 2.43862i | 0.112877 | + | 0.0926357i | ||||
\(694\) | −20.5963 | + | 2.92833i | −0.781826 | + | 0.111158i | ||||
\(695\) | −0.761210 | + | 3.82686i | −0.0288743 | + | 0.145161i | ||||
\(696\) | −22.2119 | + | 7.49708i | −0.841942 | + | 0.284176i | ||||
\(697\) | 22.2527 | − | 4.42633i | 0.842880 | − | 0.167659i | ||||
\(698\) | 35.8186 | + | 17.2061i | 1.35575 | + | 0.651259i | ||||
\(699\) | −10.0844 | − | 18.8666i | −0.381428 | − | 0.713601i | ||||
\(700\) | 22.4671 | − | 11.6627i | 0.849177 | − | 0.440809i | ||||
\(701\) | 13.7625 | + | 1.35548i | 0.519801 | + | 0.0511959i | 0.354516 | − | 0.935050i | \(-0.384646\pi\) |
0.165285 | + | 0.986246i | \(0.447146\pi\) | |||||||
\(702\) | 5.31518 | + | 1.93804i | 0.200608 | + | 0.0731466i | ||||
\(703\) | − | 20.6092i | − | 0.777289i | ||||||
\(704\) | −10.8322 | + | 4.03418i | −0.408253 | + | 0.152044i | ||||
\(705\) | 4.16029i | 0.156686i | ||||||||
\(706\) | −16.5907 | + | 45.5008i | −0.624398 | + | 1.71245i | ||||
\(707\) | −17.9690 | − | 1.76979i | −0.675793 | − | 0.0665598i | ||||
\(708\) | 1.66182 | − | 5.24947i | 0.0624548 | − | 0.197287i | ||||
\(709\) | −3.52612 | − | 6.59691i | −0.132426 | − | 0.247752i | 0.806965 | − | 0.590599i | \(-0.201109\pi\) |
−0.939391 | + | 0.342847i | \(0.888609\pi\) | |||||||
\(710\) | 0.353911 | − | 0.736752i | 0.0132820 | − | 0.0276498i | ||||
\(711\) | 0.969209 | − | 0.192788i | 0.0363482 | − | 0.00723010i | ||||
\(712\) | 39.7512 | − | 34.7393i | 1.48974 | − | 1.30191i | ||||
\(713\) | −2.49055 | + | 12.5208i | −0.0932718 | + | 0.468909i | ||||
\(714\) | 1.19765 | + | 8.42364i | 0.0448210 | + | 0.315247i | ||||
\(715\) | 2.20064 | + | 1.80602i | 0.0822992 | + | 0.0675412i | ||||
\(716\) | 35.4500 | − | 14.1854i | 1.32483 | − | 0.530132i | ||||
\(717\) | −16.9914 | − | 9.08207i | −0.634554 | − | 0.339176i | ||||
\(718\) | 6.03539 | − | 39.0626i | 0.225239 | − | 1.45780i | ||||
\(719\) | −27.9684 | + | 11.5849i | −1.04304 | + | 0.432043i | −0.837404 | − | 0.546584i | \(-0.815928\pi\) |
−0.205641 | + | 0.978628i | \(0.565928\pi\) | |||||||
\(720\) | −0.886509 | − | 1.75935i | −0.0330382 | − | 0.0655673i | ||||
\(721\) | 32.9562 | + | 13.6509i | 1.22735 | + | 0.508387i | ||||
\(722\) | −8.08627 | + | 13.3084i | −0.300940 | + | 0.495289i | ||||
\(723\) | −1.09019 | + | 0.330707i | −0.0405448 | + | 0.0122991i | ||||
\(724\) | 34.3852 | − | 6.40948i | 1.27792 | − | 0.238206i | ||||
\(725\) | 3.86494 | + | 39.2414i | 0.143540 | + | 1.45739i | ||||
\(726\) | 10.8496 | − | 6.41440i | 0.402668 | − | 0.238061i | ||||
\(727\) | −13.2802 | − | 19.8753i | −0.492536 | − | 0.737133i | 0.499051 | − | 0.866573i | \(-0.333682\pi\) |
−0.991587 | + | 0.129440i | \(0.958682\pi\) | |||||||
\(728\) | 15.9406 | − | 25.5359i | 0.590799 | − | 0.946425i | ||||
\(729\) | −0.831470 | − | 0.555570i | −0.0307952 | − | 0.0205767i | ||||
\(730\) | 4.16915 | + | 4.65608i | 0.154307 | + | 0.172329i | ||||
\(731\) | −14.4884 | − | 4.39501i | −0.535873 | − | 0.162555i | ||||
\(732\) | 6.29153 | + | 7.85765i | 0.232542 | + | 0.290427i | ||||
\(733\) | 6.65579 | + | 8.11010i | 0.245837 | + | 0.299553i | 0.881280 | − | 0.472595i | \(-0.156682\pi\) |
−0.635443 | + | 0.772148i | \(0.719182\pi\) | |||||||
\(734\) | 1.53875 | + | 35.7160i | 0.0567961 | + | 1.31830i | ||||
\(735\) | 0.0271707 | + | 0.0271707i | 0.00100221 | + | 0.00100221i | ||||
\(736\) | −10.2193 | − | 4.00806i | −0.376689 | − | 0.147739i | ||||
\(737\) | −5.31142 | + | 5.31142i | −0.195649 | + | 0.195649i | ||||
\(738\) | 10.4556 | + | 9.59192i | 0.384877 | + | 0.353083i | ||||
\(739\) | −20.0355 | + | 16.4427i | −0.737019 | + | 0.604856i | −0.926176 | − | 0.377091i | \(-0.876924\pi\) |
0.189157 | + | 0.981947i | \(0.439424\pi\) | |||||||
\(740\) | −3.46200 | + | 6.29316i | −0.127266 | + | 0.231341i | ||||
\(741\) | 3.28222 | − | 10.8200i | 0.120575 | − | 0.397483i | ||||
\(742\) | 0.506460 | − | 9.17925i | 0.0185927 | − | 0.336981i | ||||
\(743\) | 26.1282 | − | 39.1036i | 0.958550 | − | 1.43457i | 0.0587475 | − | 0.998273i | \(-0.481289\pi\) |
0.899802 | − | 0.436298i | \(-0.143711\pi\) | |||||||
\(744\) | −16.9621 | + | 7.65008i | −0.621862 | + | 0.280466i | ||||
\(745\) | −3.33948 | + | 2.23137i | −0.122349 | + | 0.0817511i | ||||
\(746\) | 9.14344 | − | 35.5906i | 0.334765 | − | 1.30306i | ||||
\(747\) | 6.26092 | − | 0.616647i | 0.229075 | − | 0.0225619i | ||||
\(748\) | −6.39344 | − | 1.35210i | −0.233767 | − | 0.0494377i | ||||
\(749\) | 10.9278 | + | 36.0240i | 0.399292 | + | 1.31629i | ||||
\(750\) | −6.60249 | + | 1.61158i | −0.241089 | + | 0.0588467i | ||||
\(751\) | −19.9279 | + | 48.1101i | −0.727178 | + | 1.75556i | −0.0753992 | + | 0.997153i | \(0.524023\pi\) |
−0.651779 | + | 0.758409i | \(0.725977\pi\) | |||||||
\(752\) | −7.38913 | + | 32.9699i | −0.269454 | + | 1.20229i | ||||
\(753\) | 5.48753 | + | 13.2481i | 0.199977 | + | 0.482787i | ||||
\(754\) | 27.7055 | + | 37.8312i | 1.00897 | + | 1.37773i | ||||
\(755\) | 0.823196 | − | 1.54009i | 0.0299592 | − | 0.0560496i | ||||
\(756\) | −3.80756 | + | 3.71679i | −0.138480 | + | 0.135178i | ||||
\(757\) | −6.43586 | + | 7.84212i | −0.233915 | + | 0.285027i | −0.876718 | − | 0.481006i | \(-0.840272\pi\) |
0.642802 | + | 0.766032i | \(0.277772\pi\) | |||||||
\(758\) | −2.43680 | + | 3.24457i | −0.0885087 | + | 0.117848i | ||||
\(759\) | −2.74993 | − | 0.546995i | −0.0998161 | − | 0.0198547i | ||||
\(760\) | −3.41325 | + | 1.96277i | −0.123812 | + | 0.0711972i | ||||
\(761\) | 2.47540 | + | 12.4447i | 0.0897332 | + | 0.451119i | 0.999363 | + | 0.0356987i | \(0.0113656\pi\) |
−0.909629 | + | 0.415421i | \(0.863634\pi\) | |||||||
\(762\) | −6.63321 | − | 18.8971i | −0.240296 | − | 0.684570i | ||||
\(763\) | −21.7666 | + | 11.6345i | −0.788005 | + | 0.421197i | ||||
\(764\) | −15.8662 | − | 13.3445i | −0.574019 | − | 0.482789i | ||||
\(765\) | 0.109169 | − | 1.10842i | 0.00394703 | − | 0.0400749i | ||||
\(766\) | −19.1686 | + | 8.92499i | −0.692588 | + | 0.322473i | ||||
\(767\) | −11.0137 | −0.397681 | ||||||||
\(768\) | −3.90069 | − | 15.5172i | −0.140754 | − | 0.559930i | ||||
\(769\) | 23.3694 | 0.842721 | 0.421360 | − | 0.906893i | \(-0.361553\pi\) | ||||
0.421360 | + | 0.906893i | \(0.361553\pi\) | |||||||
\(770\) | −2.42727 | + | 1.13015i | −0.0874728 | + | 0.0407278i | ||||
\(771\) | 0.637418 | − | 6.47181i | 0.0229560 | − | 0.233077i | ||||
\(772\) | 26.5898 | + | 22.3638i | 0.956988 | + | 0.804892i | ||||
\(773\) | −16.3860 | + | 8.75851i | −0.589364 | + | 0.315022i | −0.738985 | − | 0.673722i | \(-0.764695\pi\) |
0.149621 | + | 0.988743i | \(0.452195\pi\) | |||||||
\(774\) | −3.13598 | − | 8.93398i | −0.112720 | − | 0.321125i | ||||
\(775\) | 6.10590 | + | 30.6964i | 0.219330 | + | 1.10265i | ||||
\(776\) | 8.84817 | + | 15.3869i | 0.317631 | + | 0.552359i | ||||
\(777\) | 19.0263 | + | 3.78457i | 0.682566 | + | 0.135771i | ||||
\(778\) | 15.3339 | − | 20.4168i | 0.549746 | − | 0.731978i | ||||
\(779\) | 17.9898 | − | 21.9207i | 0.644553 | − | 0.785390i | ||||
\(780\) | −2.81983 | + | 2.75261i | −0.100966 | + | 0.0985594i | ||||
\(781\) | 0.799253 | − | 1.49530i | 0.0285995 | − | 0.0535060i | ||||
\(782\) | −3.66674 | − | 5.00685i | −0.131122 | − | 0.179045i | ||||
\(783\) | −3.17182 | − | 7.65746i | −0.113352 | − | 0.273655i | ||||
\(784\) | 0.167067 | + | 0.263583i | 0.00596668 | + | 0.00941369i | ||||
\(785\) | 4.34612 | − | 10.4925i | 0.155120 | − | 0.374492i | ||||
\(786\) | 5.62852 | − | 1.37385i | 0.200763 | − | 0.0490036i | ||||
\(787\) | −12.4192 | − | 40.9406i | −0.442697 | − | 1.45938i | −0.840453 | − | 0.541885i | \(-0.817711\pi\) |
0.397756 | − | 0.917491i | \(-0.369789\pi\) | |||||||
\(788\) | −17.3890 | − | 3.67746i | −0.619456 | − | 0.131004i | ||||
\(789\) | −15.4829 | + | 1.52494i | −0.551207 | + | 0.0542891i | ||||
\(790\) | −0.171269 | + | 0.666660i | −0.00609348 | + | 0.0237187i | ||||
\(791\) | 5.50537 | − | 3.67857i | 0.195749 | − | 0.130795i | ||||
\(792\) | −1.68017 | − | 3.72537i | −0.0597024 | − | 0.132375i | ||||
\(793\) | 11.1861 | − | 16.7411i | 0.397229 | − | 0.594495i | ||||
\(794\) | −1.89369 | + | 34.3219i | −0.0672046 | + | 1.21804i | ||||
\(795\) | −0.349337 | + | 1.15161i | −0.0123897 | + | 0.0408434i | ||||
\(796\) | 24.1647 | − | 43.9261i | 0.856494 | − | 1.55692i | ||||
\(797\) | −39.7140 | + | 32.5924i | −1.40674 | + | 1.15448i | −0.440222 | + | 0.897889i | \(0.645100\pi\) |
−0.966519 | + | 0.256593i | \(0.917400\pi\) | |||||||
\(798\) | 7.83623 | + | 7.18890i | 0.277399 | + | 0.254484i | ||||
\(799\) | −13.5070 | + | 13.5070i | −0.477844 | + | 0.477844i | ||||
\(800\) | −26.9072 | + | 0.509458i | −0.951314 | + | 0.0180121i | ||||
\(801\) | 13.1980 | + | 13.1980i | 0.466327 | + | 0.466327i | ||||
\(802\) | −1.26525 | − | 29.3679i | −0.0446776 | − | 1.03702i | ||||
\(803\) | 8.22472 | + | 10.0218i | 0.290244 | + | 0.353663i | ||||
\(804\) | −6.49862 | − | 8.11628i | −0.229189 | − | 0.286239i | ||||
\(805\) | −2.43322 | − | 0.738111i | −0.0857599 | − | 0.0260150i | ||||
\(806\) | 24.8280 | + | 27.7278i | 0.874530 | + | 0.976668i | ||||
\(807\) | 20.2120 | + | 13.5052i | 0.711495 | + | 0.475406i | ||||
\(808\) | 16.2836 | + | 10.1649i | 0.572857 | + | 0.357602i | ||||
\(809\) | 13.3936 | + | 20.0449i | 0.470894 | + | 0.704743i | 0.988558 | − | 0.150841i | \(-0.0481982\pi\) |
−0.517664 | + | 0.855584i | \(0.673198\pi\) | |||||||
\(810\) | 0.599582 | − | 0.354478i | 0.0210672 | − | 0.0124551i | ||||
\(811\) | 4.49728 | + | 45.6616i | 0.157921 | + | 1.60340i | 0.668598 | + | 0.743624i | \(0.266895\pi\) |
−0.510677 | + | 0.859773i | \(0.670605\pi\) | |||||||
\(812\) | −43.3549 | + | 8.08145i | −1.52146 | + | 0.283603i | ||||
\(813\) | −9.35175 | + | 2.83682i | −0.327980 | + | 0.0994917i | ||||
\(814\) | −7.73679 | + | 12.7333i | −0.271175 | + | 0.446301i | ||||
\(815\) | −0.126946 | − | 0.0525829i | −0.00444673 | − | 0.00184190i | ||||
\(816\) | 2.83382 | − | 8.59019i | 0.0992036 | − | 0.300717i | ||||
\(817\) | −17.4828 | + | 7.24162i | −0.611647 | + | 0.253352i | ||||
\(818\) | −7.70314 | + | 49.8568i | −0.269334 | + | 1.74320i | ||||
\(819\) | 9.38629 | + | 5.01707i | 0.327983 | + | 0.175311i | ||||
\(820\) | −9.17564 | + | 3.67164i | −0.320427 | + | 0.128219i | ||||
\(821\) | −27.1118 | − | 22.2501i | −0.946208 | − | 0.776533i | 0.0285969 | − | 0.999591i | \(-0.490896\pi\) |
−0.974805 | + | 0.223058i | \(0.928396\pi\) | |||||||
\(822\) | 0.410865 | + | 2.88980i | 0.0143306 | + | 0.100794i | ||||
\(823\) | 4.84746 | − | 24.3698i | 0.168972 | − | 0.849479i | −0.799559 | − | 0.600587i | \(-0.794934\pi\) |
0.968531 | − | 0.248892i | \(-0.0800665\pi\) | |||||||
\(824\) | −24.9555 | − | 28.5558i | −0.869365 | − | 0.994790i | ||||
\(825\) | −6.74181 | + | 1.34103i | −0.234720 | + | 0.0466886i | ||||
\(826\) | 4.48521 | − | 9.33706i | 0.156060 | − | 0.324878i | ||||
\(827\) | 2.47505 | + | 4.63050i | 0.0860661 | + | 0.161018i | 0.921272 | − | 0.388919i | \(-0.127152\pi\) |
−0.835206 | + | 0.549938i | \(0.814652\pi\) | |||||||
\(828\) | 1.17132 | − | 3.70006i | 0.0407062 | − | 0.128586i | ||||
\(829\) | 41.6585 | + | 4.10300i | 1.44686 | + | 0.142503i | 0.790739 | − | 0.612153i | \(-0.209696\pi\) |
0.656120 | + | 0.754656i | \(0.272196\pi\) | |||||||
\(830\) | −1.50111 | + | 4.11688i | −0.0521044 | + | 0.142899i | ||||
\(831\) | 15.4757i | 0.536847i | ||||||||
\(832\) | −27.2358 | + | 16.8059i | −0.944232 | + | 0.582638i | ||||
\(833\) | 0.176428i | 0.00611285i | ||||||||
\(834\) | −10.5258 | − | 3.83795i | −0.364478 | − | 0.132897i | ||||
\(835\) | −0.213434 | − | 0.0210214i | −0.00738617 | − | 0.000727475i | ||||
\(836\) | −7.24912 | + | 3.76303i | −0.250716 | + | 0.130147i | ||||
\(837\) | −3.10119 | − | 5.80193i | −0.107193 | − | 0.200544i | ||||
\(838\) | −37.9711 | − | 18.2400i | −1.31169 | − | 0.630091i | ||||
\(839\) | −23.5402 | + | 4.68244i | −0.812698 | + | 0.161656i | −0.583908 | − | 0.811820i | \(-0.698477\pi\) |
−0.228790 | + | 0.973476i | \(0.573477\pi\) | |||||||
\(840\) | −1.18523 | − | 3.51154i | −0.0408944 | − | 0.121160i | ||||
\(841\) | 7.74452 | − | 38.9343i | 0.267052 | − | 1.34256i | ||||
\(842\) | 19.6126 | − | 2.78847i | 0.675895 | − | 0.0960971i | ||||
\(843\) | −23.1551 | − | 19.0029i | −0.797504 | − | 0.654495i | ||||
\(844\) | 3.92831 | − | 9.16935i | 0.135218 | − | 0.315622i | ||||
\(845\) | 1.30463 | + | 0.697342i | 0.0448808 | + | 0.0239893i | ||||
\(846\) | −11.8057 | − | 1.82404i | −0.405888 | − | 0.0627119i | ||||
\(847\) | 21.9060 | − | 9.07375i | 0.752698 | − | 0.311778i | ||||
\(848\) | −4.81385 | + | 8.50594i | −0.165308 | + | 0.292095i | ||||
\(849\) | −25.0600 | − | 10.3802i | −0.860057 | − | 0.356247i | ||||
\(850\) | −13.0026 | − | 7.90045i | −0.445986 | − | 0.270983i | ||||
\(851\) | −13.5403 | + | 4.10739i | −0.464154 | + | 0.140800i | ||||
\(852\) | 1.93552 | + | 1.32732i | 0.0663098 | + | 0.0454732i | ||||
\(853\) | 2.30787 | + | 23.4322i | 0.0790200 | + | 0.802303i | 0.950262 | + | 0.311450i | \(0.100815\pi\) |
−0.871242 | + | 0.490853i | \(0.836685\pi\) | |||||||
\(854\) | 9.63721 | + | 16.3009i | 0.329778 | + | 0.557804i | ||||
\(855\) | −0.773390 | − | 1.15746i | −0.0264494 | − | 0.0395843i | ||||
\(856\) | 6.58770 | − | 39.4758i | 0.225163 | − | 1.34926i | ||||
\(857\) | −28.2428 | − | 18.8712i | −0.964756 | − | 0.644629i | −0.0298608 | − | 0.999554i | \(-0.509506\pi\) |
−0.934895 | + | 0.354925i | \(0.884506\pi\) | |||||||
\(858\) | −6.08980 | + | 5.45294i | −0.207902 | + | 0.186160i | ||||
\(859\) | −40.5554 | − | 12.3024i | −1.38373 | − | 0.419751i | −0.491323 | − | 0.870977i | \(-0.663487\pi\) |
−0.892409 | + | 0.451226i | \(0.850987\pi\) | |||||||
\(860\) | 6.55498 | + | 0.725543i | 0.223523 | + | 0.0247408i | ||||
\(861\) | 16.9336 | + | 20.6336i | 0.577094 | + | 0.703191i | ||||
\(862\) | 24.7077 | − | 1.06448i | 0.841546 | − | 0.0362562i | ||||
\(863\) | −29.3450 | − | 29.3450i | −0.998915 | − | 0.998915i | 0.00108481 | − | 0.999999i | \(-0.499655\pi\) |
−0.999999 | + | 0.00108481i | \(0.999655\pi\) | |||||||
\(864\) | 5.38122 | − | 1.74428i | 0.183073 | − | 0.0593416i | ||||
\(865\) | −6.58607 | + | 6.58607i | −0.223933 | + | 0.223933i | ||||
\(866\) | 33.6766 | − | 36.7091i | 1.14438 | − | 1.24742i | ||||
\(867\) | −9.18811 | + | 7.54048i | −0.312044 | + | 0.256088i | ||||
\(868\) | −33.6177 | + | 9.75658i | −1.14106 | + | 0.331160i | ||||
\(869\) | −0.414475 | + | 1.36634i | −0.0140601 | + | 0.0463499i | ||||
\(870\) | 5.76433 | + | 0.318043i | 0.195429 | + | 0.0107827i | ||||
\(871\) | −11.5543 | + | 17.2922i | −0.391501 | + | 0.585923i | ||||
\(872\) | 26.2266 | − | 0.813125i | 0.888144 | − | 0.0275359i | ||||
\(873\) | −5.21783 | + | 3.48644i | −0.176597 | + | 0.117998i | ||||
\(874\) | −7.51257 | − | 1.93003i | −0.254116 | − | 0.0652841i | ||||
\(875\) | −12.7239 | + | 1.25319i | −0.430145 | + | 0.0423656i | ||||
\(876\) | −15.0405 | + | 9.78942i | −0.508172 | + | 0.330754i | ||||
\(877\) | 6.21429 | + | 20.4858i | 0.209842 | + | 0.691755i | 0.997167 | + | 0.0752176i | \(0.0239651\pi\) |
−0.787325 | + | 0.616538i | \(0.788535\pi\) | |||||||
\(878\) | −10.6160 | − | 43.4925i | −0.358271 | − | 1.46780i | ||||
\(879\) | −2.88386 | + | 6.96226i | −0.0972702 | + | 0.234831i | ||||
\(880\) | 2.84570 | + | 0.0686647i | 0.0959284 | + | 0.00231469i | ||||
\(881\) | −1.72475 | − | 4.16392i | −0.0581084 | − | 0.140286i | 0.892159 | − | 0.451722i | \(-0.149190\pi\) |
−0.950267 | + | 0.311436i | \(0.899190\pi\) | |||||||
\(882\) | −0.0890153 | + | 0.0651898i | −0.00299730 | + | 0.00219505i | ||||
\(883\) | 16.8072 | − | 31.4441i | 0.565608 | − | 1.05818i | −0.422781 | − | 0.906232i | \(-0.638946\pi\) |
0.988389 | − | 0.151946i | \(-0.0485541\pi\) | |||||||
\(884\) | −18.0918 | − | 0.218239i | −0.608492 | − | 0.00734018i | ||||
\(885\) | −0.860216 | + | 1.04818i | −0.0289159 | + | 0.0352341i | ||||
\(886\) | −31.5294 | − | 23.6799i | −1.05925 | − | 0.795541i | ||||
\(887\) | 27.6517 | + | 5.50027i | 0.928455 | + | 0.184681i | 0.636080 | − | 0.771623i | \(-0.280555\pi\) |
0.292374 | + | 0.956304i | \(0.405555\pi\) | |||||||
\(888\) | −16.3403 | − | 12.5833i | −0.548343 | − | 0.422269i | ||||
\(889\) | −7.35027 | − | 36.9523i | −0.246520 | − | 1.23934i | ||||
\(890\) | −12.2668 | + | 4.30584i | −0.411183 | + | 0.144332i | ||||
\(891\) | 1.27427 | − | 0.681110i | 0.0426895 | − | 0.0228180i | ||||
\(892\) | 8.63544 | − | 0.745462i | 0.289136 | − | 0.0249599i | ||||
\(893\) | −2.34011 | + | 23.7596i | −0.0783089 | + | 0.795083i | ||||
\(894\) | −4.86781 | − | 10.4548i | −0.162804 | − | 0.349661i | ||||
\(895\) | −9.40292 | −0.314305 | ||||||||
\(896\) | −3.15597 | − | 29.9337i | −0.105434 | − | 1.00001i | ||||
\(897\) | −7.76292 | −0.259196 | ||||||||
\(898\) | 4.39699 | + | 9.44360i | 0.146730 | + | 0.315137i | ||||
\(899\) | 5.34458 | − | 54.2644i | 0.178252 | − | 1.80982i | ||||
\(900\) | −0.818335 | − | 9.47959i | −0.0272778 | − | 0.315986i | ||||
\(901\) | −4.87305 | + | 2.60470i | −0.162345 | + | 0.0867752i | ||||
\(902\) | −19.3441 | + | 6.79010i | −0.644088 | + | 0.226086i | ||||
\(903\) | −3.47498 | − | 17.4699i | −0.115640 | − | 0.581363i | ||||
\(904\) | −6.98066 | + | 0.906731i | −0.232173 | + | 0.0301574i | ||||
\(905\) | −8.44806 | − | 1.68042i | −0.280823 | − | 0.0558592i | ||||
\(906\) | 4.00941 | + | 3.01123i | 0.133204 | + | 0.100041i | ||||
\(907\) | −3.47017 | + | 4.22841i | −0.115225 | + | 0.140402i | −0.827429 | − | 0.561571i | \(-0.810197\pi\) |
0.712204 | + | 0.701973i | \(0.247697\pi\) | |||||||
\(908\) | 0.104368 | − | 8.65195i | 0.00346356 | − | 0.287125i | ||||
\(909\) | −3.19927 | + | 5.98541i | −0.106113 | + | 0.198523i | ||||
\(910\) | −5.98083 | + | 4.38002i | −0.198263 | + | 0.145196i | ||||
\(911\) | 6.26941 | + | 15.1357i | 0.207715 | + | 0.501468i | 0.993063 | − | 0.117587i | \(-0.0375159\pi\) |
−0.785348 | + | 0.619055i | \(0.787516\pi\) | |||||||
\(912\) | −4.07326 | − | 10.5464i | −0.134879 | − | 0.349225i | ||||
\(913\) | −3.47860 | + | 8.39808i | −0.115125 | + | 0.277936i | ||||
\(914\) | 10.1304 | + | 41.5032i | 0.335083 | + | 1.37280i | ||||
\(915\) | −0.719580 | − | 2.37214i | −0.0237886 | − | 0.0784204i | ||||
\(916\) | 14.7271 | + | 22.6269i | 0.486598 | + | 0.747613i | ||||
\(917\) | 10.8469 | − | 1.06833i | 0.358196 | − | 0.0352792i | ||||
\(918\) | 3.09750 | + | 0.795767i | 0.102233 | + | 0.0262642i | ||||
\(919\) | −27.3583 | + | 18.2802i | −0.902467 | + | 0.603009i | −0.917874 | − | 0.396872i | \(-0.870096\pi\) |
0.0154071 | + | 0.999881i | \(0.495096\pi\) | |||||||
\(920\) | 1.96980 | + | 1.85133i | 0.0649425 | + | 0.0610367i | ||||
\(921\) | −11.8080 | + | 17.6719i | −0.389086 | + | 0.582308i | ||||
\(922\) | −15.1842 | − | 0.837777i | −0.500064 | − | 0.0275907i | ||||
\(923\) | 1.36270 | − | 4.49221i | 0.0448537 | − | 0.147863i | ||||
\(924\) | −2.14282 | − | 7.38339i | −0.0704937 | − | 0.242896i | ||||
\(925\) | −26.8153 | + | 22.0067i | −0.881681 | + | 0.723577i | ||||
\(926\) | −28.6352 | + | 31.2136i | −0.941011 | + | 1.02574i | ||||
\(927\) | 9.48094 | − | 9.48094i | 0.311395 | − | 0.311395i | ||||
\(928\) | 45.1168 | + | 12.7585i | 1.48103 | + | 0.418819i | ||||
\(929\) | −9.44386 | − | 9.44386i | −0.309843 | − | 0.309843i | 0.535006 | − | 0.844849i | \(-0.320310\pi\) |
−0.844849 | + | 0.535006i | \(0.820310\pi\) | |||||||
\(930\) | 4.57803 | − | 0.197235i | 0.150120 | − | 0.00646758i | ||||
\(931\) | 0.139890 | + | 0.170456i | 0.00458470 | + | 0.00558647i | ||||
\(932\) | −4.70697 | + | 42.5255i | −0.154182 | + | 1.39297i | ||||
\(933\) | −2.17108 | − | 0.658591i | −0.0710781 | − | 0.0215613i | ||||
\(934\) | −34.6375 | + | 31.0152i | −1.13337 | + | 1.01485i | ||||
\(935\) | 1.33806 | + | 0.894064i | 0.0437593 | + | 0.0292390i | ||||
\(936\) | −6.57478 | − | 9.20872i | −0.214904 | − | 0.300997i | ||||
\(937\) | 26.8736 | + | 40.2192i | 0.877923 | + | 1.31390i | 0.948623 | + | 0.316407i | \(0.102477\pi\) |
−0.0707003 | + | 0.997498i | \(0.522523\pi\) | |||||||
\(938\) | −9.95441 | − | 16.8374i | −0.325023 | − | 0.549761i | ||||
\(939\) | −0.325461 | − | 3.30446i | −0.0106210 | − | 0.107837i | ||||
\(940\) | 4.70578 | − | 6.86205i | 0.153486 | − | 0.223815i | ||||
\(941\) | 6.33610 | − | 1.92203i | 0.206551 | − | 0.0626565i | −0.185314 | − | 0.982679i | \(-0.559330\pi\) |
0.391865 | + | 0.920023i | \(0.371830\pi\) | |||||||
\(942\) | 27.8691 | + | 16.9334i | 0.908023 | + | 0.551719i | ||||
\(943\) | −17.9873 | − | 7.45059i | −0.585747 | − | 0.242625i | ||||
\(944\) | −8.67880 | + | 6.77886i | −0.282471 | + | 0.220633i | ||||
\(945\) | 1.21059 | − | 0.501441i | 0.0393804 | − | 0.0163119i | ||||
\(946\) | 13.5202 | + | 2.08895i | 0.439581 | + | 0.0679176i | ||||
\(947\) | −0.370176 | − | 0.197863i | −0.0120291 | − | 0.00642968i | 0.465371 | − | 0.885116i | \(-0.345921\pi\) |
−0.477400 | + | 0.878686i | \(0.658421\pi\) | |||||||
\(948\) | −1.81669 | − | 0.778303i | −0.0590035 | − | 0.0252781i | ||||
\(949\) | 27.7476 | + | 22.7719i | 0.900725 | + | 0.739206i | ||||
\(950\) | −18.8268 | + | 2.67675i | −0.610822 | + | 0.0868451i | ||||
\(951\) | 0.895007 | − | 4.49951i | 0.0290226 | − | 0.145906i | ||||
\(952\) | 7.55270 | − | 15.2488i | 0.244785 | − | 0.494215i | ||||
\(953\) | 36.0204 | − | 7.16490i | 1.16681 | − | 0.232094i | 0.426585 | − | 0.904448i | \(-0.359717\pi\) |
0.740230 | + | 0.672354i | \(0.234717\pi\) | |||||||
\(954\) | −3.11477 | − | 1.49623i | −0.100844 | − | 0.0484423i | ||||
\(955\) | 2.40669 | + | 4.50261i | 0.0778787 | + | 0.145701i | ||||
\(956\) | 17.7529 | + | 34.1993i | 0.574170 | + | 1.10609i | ||||
\(957\) | 11.9180 | + | 1.17382i | 0.385254 | + | 0.0379442i | ||||
\(958\) | 31.1331 | + | 11.3519i | 1.00587 | + | 0.366763i | ||||
\(959\) | 5.49105i | 0.177315i | ||||||||
\(960\) | −0.527816 | + | 3.90465i | −0.0170352 | + | 0.126022i | ||||
\(961\) | − | 12.2797i | − | 0.396121i | ||||||
\(962\) | −14.1315 | + | 38.7563i | −0.455617 | + | 1.24955i | ||||
\(963\) | 14.0817 | + | 1.38693i | 0.453776 | + | 0.0446930i | ||||
\(964\) | 2.17225 | + | 0.687665i | 0.0699635 | + | 0.0221482i | ||||
\(965\) | −4.03333 | − | 7.54582i | −0.129837 | − | 0.242909i | ||||
\(966\) | 3.16137 | − | 6.58116i | 0.101715 | − | 0.211745i | ||||
\(967\) | 41.5837 | − | 8.27152i | 1.33724 | − | 0.265994i | 0.525890 | − | 0.850552i | \(-0.323732\pi\) |
0.811352 | + | 0.584558i | \(0.198732\pi\) | |||||||
\(968\) | −25.1510 | − | 1.69221i | −0.808384 | − | 0.0543898i | ||||
\(969\) | 1.24694 | − | 6.26879i | 0.0400575 | − | 0.201383i | ||||
\(970\) | −0.615273 | − | 4.32750i | −0.0197552 | − | 0.138948i | ||||
\(971\) | −17.1055 | − | 14.0382i | −0.548943 | − | 0.450506i | 0.318585 | − | 0.947894i | \(-0.396792\pi\) |
−0.867528 | + | 0.497389i | \(0.834292\pi\) | |||||||
\(972\) | 0.743023 | + | 1.85686i | 0.0238325 | + | 0.0595587i | ||||
\(973\) | −18.5879 | − | 9.93543i | −0.595900 | − | 0.318515i | ||||
\(974\) | 6.71160 | − | 43.4392i | 0.215053 | − | 1.39188i | ||||
\(975\) | −17.5831 | + | 7.28316i | −0.563110 | + | 0.233248i | ||||
\(976\) | −1.48943 | − | 20.0770i | −0.0476754 | − | 0.642649i | ||||
\(977\) | 24.0330 | + | 9.95478i | 0.768882 | + | 0.318482i | 0.732420 | − | 0.680853i | \(-0.238391\pi\) |
0.0364628 | + | 0.999335i | \(0.488391\pi\) | |||||||
\(978\) | 0.204873 | − | 0.337182i | 0.00655113 | − | 0.0107819i | ||||
\(979\) | −25.8070 | + | 7.82846i | −0.824795 | + | 0.250199i | ||||
\(980\) | −0.0140825 | − | 0.0755491i | −0.000449849 | − | 0.00241333i | ||||
\(981\) | 0.909301 | + | 9.23228i | 0.0290317 | + | 0.294764i | ||||
\(982\) | −36.8576 | + | 21.7905i | −1.17617 | + | 0.695363i | ||||
\(983\) | 1.75731 | + | 2.63001i | 0.0560496 | + | 0.0838842i | 0.858436 | − | 0.512921i | \(-0.171437\pi\) |
−0.802386 | + | 0.596805i | \(0.796437\pi\) | |||||||
\(984\) | −6.39608 | − | 27.6476i | −0.203899 | − | 0.881373i | ||||
\(985\) | 3.63928 | + | 2.43169i | 0.115957 | + | 0.0774800i | ||||
\(986\) | 17.6822 | + | 19.7473i | 0.563115 | + | 0.628883i | ||||
\(987\) | −21.5050 | − | 6.52348i | −0.684513 | − | 0.207645i | ||||
\(988\) | −17.6525 | + | 14.1341i | −0.561600 | + | 0.449667i | ||||
\(989\) | 8.24208 | + | 10.0430i | 0.262083 | + | 0.319349i | ||||
\(990\) | 0.0433183 | + | 1.00547i | 0.00137675 | + | 0.0319558i | ||||
\(991\) | 21.8776 | + | 21.8776i | 0.694964 | + | 0.694964i | 0.963320 | − | 0.268356i | \(-0.0864802\pi\) |
−0.268356 | + | 0.963320i | \(0.586480\pi\) | |||||||
\(992\) | 36.6308 | + | 6.56801i | 1.16303 | + | 0.208535i | ||||
\(993\) | 21.9801 | − | 21.9801i | 0.697518 | − | 0.697518i | ||||
\(994\) | 3.25341 | + | 2.98466i | 0.103192 | + | 0.0946676i | ||||
\(995\) | −9.54362 | + | 7.83225i | −0.302553 | + | 0.248299i | ||||
\(996\) | −11.0244 | − | 6.06473i | −0.349320 | − | 0.192168i | ||||
\(997\) | 10.7309 | − | 35.3750i | 0.339851 | − | 1.12034i | −0.605926 | − | 0.795521i | \(-0.707197\pi\) |
0.945777 | − | 0.324817i | \(-0.105303\pi\) | |||||||
\(998\) | −0.534227 | + | 9.68250i | −0.0169106 | + | 0.306494i | ||||
\(999\) | 4.05102 | − | 6.06278i | 0.128169 | − | 0.191818i |
(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 | 384.2.v.a.157.4 | ✓ | 512 | |
128.53 | even | 32 | inner | 384.2.v.a.181.4 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.v.a.157.4 | ✓ | 512 | 1.1 | even | 1 | trivial | |
384.2.v.a.181.4 | yes | 512 | 128.53 | even | 32 | inner |