Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 16.2 | ||
Character | \(\chi\) | \(=\) | 81.16 |
Dual form | 81.2.g.a.76.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.96496 | − | 0.465704i | −1.38944 | − | 0.329303i | −0.533246 | − | 0.845961i | \(-0.679028\pi\) |
−0.856192 | + | 0.516658i | \(0.827176\pi\) | |||||||
\(3\) | 1.31969 | + | 1.12179i | 0.761925 | + | 0.647666i | ||||
\(4\) | 1.85693 | + | 0.932584i | 0.928464 | + | 0.466292i | ||||
\(5\) | −1.65302 | + | 2.22039i | −0.739254 | + | 0.992990i | 0.260369 | + | 0.965509i | \(0.416156\pi\) |
−0.999622 | + | 0.0274807i | \(0.991252\pi\) | |||||||
\(6\) | −2.07072 | − | 2.81886i | −0.845368 | − | 1.15080i | ||||
\(7\) | 0.510715 | + | 0.335902i | 0.193032 | + | 0.126959i | 0.642346 | − | 0.766415i | \(-0.277961\pi\) |
−0.449314 | + | 0.893374i | \(0.648332\pi\) | |||||||
\(8\) | −0.120591 | − | 0.101188i | −0.0426353 | − | 0.0357753i | ||||
\(9\) | 0.483174 | + | 2.96083i | 0.161058 | + | 0.986945i | ||||
\(10\) | 4.28217 | − | 3.59317i | 1.35414 | − | 1.13626i | ||||
\(11\) | 3.71952 | − | 0.434749i | 1.12148 | − | 0.131082i | 0.464916 | − | 0.885355i | \(-0.346085\pi\) |
0.656561 | + | 0.754273i | \(0.272011\pi\) | |||||||
\(12\) | 1.40441 | + | 3.31381i | 0.405418 | + | 0.956614i | ||||
\(13\) | −0.980843 | + | 3.27624i | −0.272037 | + | 0.908666i | 0.707383 | + | 0.706831i | \(0.249876\pi\) |
−0.979419 | + | 0.201835i | \(0.935309\pi\) | |||||||
\(14\) | −0.847104 | − | 0.897877i | −0.226398 | − | 0.239968i | ||||
\(15\) | −4.67229 | + | 1.07589i | −1.20638 | + | 0.277794i | ||||
\(16\) | −2.29190 | − | 3.07856i | −0.572976 | − | 0.769640i | ||||
\(17\) | −1.31516 | − | 7.45862i | −0.318972 | − | 1.80898i | −0.549030 | − | 0.835803i | \(-0.685003\pi\) |
0.230058 | − | 0.973177i | \(-0.426109\pi\) | |||||||
\(18\) | 0.429455 | − | 6.04294i | 0.101224 | − | 1.42434i | ||||
\(19\) | 0.132568 | − | 0.751830i | 0.0304132 | − | 0.172482i | −0.965818 | − | 0.259222i | \(-0.916534\pi\) |
0.996231 | + | 0.0867403i | \(0.0276450\pi\) | |||||||
\(20\) | −5.14024 | + | 2.58153i | −1.14939 | + | 0.577247i | ||||
\(21\) | 0.297174 | + | 1.01620i | 0.0648487 | + | 0.221754i | ||||
\(22\) | −7.51117 | − | 0.877930i | −1.60139 | − | 0.187175i | ||||
\(23\) | −1.81630 | + | 1.19460i | −0.378724 | + | 0.249091i | −0.724571 | − | 0.689200i | \(-0.757962\pi\) |
0.345847 | + | 0.938291i | \(0.387592\pi\) | |||||||
\(24\) | −0.0456314 | − | 0.268815i | −0.00931448 | − | 0.0548715i | ||||
\(25\) | −0.763650 | − | 2.55077i | −0.152730 | − | 0.510153i | ||||
\(26\) | 3.45308 | − | 5.98091i | 0.677205 | − | 1.17295i | ||||
\(27\) | −2.68379 | + | 4.44941i | −0.516496 | + | 0.856289i | ||||
\(28\) | 0.635103 | + | 1.10003i | 0.120023 | + | 0.207886i | ||||
\(29\) | 3.11741 | − | 3.30426i | 0.578888 | − | 0.613585i | −0.370064 | − | 0.929006i | \(-0.620664\pi\) |
0.948952 | + | 0.315421i | \(0.102146\pi\) | |||||||
\(30\) | 9.68193 | + | 0.0618214i | 1.76767 | + | 0.0112870i | ||||
\(31\) | −0.475949 | − | 8.17173i | −0.0854830 | − | 1.46769i | −0.719568 | − | 0.694422i | \(-0.755660\pi\) |
0.634085 | − | 0.773264i | \(-0.281377\pi\) | |||||||
\(32\) | 3.19450 | + | 7.40569i | 0.564714 | + | 1.30915i | ||||
\(33\) | 5.39631 | + | 3.59878i | 0.939378 | + | 0.626467i | ||||
\(34\) | −0.889281 | + | 15.2684i | −0.152510 | + | 2.61850i | ||||
\(35\) | −1.59006 | + | 0.578734i | −0.268769 | + | 0.0978239i | ||||
\(36\) | −1.86401 | + | 5.94866i | −0.310668 | + | 0.991443i | ||||
\(37\) | 3.96908 | + | 1.44463i | 0.652513 | + | 0.237495i | 0.647001 | − | 0.762489i | \(-0.276023\pi\) |
0.00551256 | + | 0.999985i | \(0.498245\pi\) | |||||||
\(38\) | −0.610621 | + | 1.41558i | −0.0990559 | + | 0.229637i | ||||
\(39\) | −4.96967 | + | 3.22333i | −0.795784 | + | 0.516146i | ||||
\(40\) | 0.424016 | − | 0.100494i | 0.0670428 | − | 0.0158894i | ||||
\(41\) | 8.79832 | − | 2.08524i | 1.37407 | − | 0.325660i | 0.523723 | − | 0.851888i | \(-0.324543\pi\) |
0.850343 | + | 0.526229i | \(0.176394\pi\) | |||||||
\(42\) | −0.110686 | − | 2.13519i | −0.0170792 | − | 0.329468i | ||||
\(43\) | 0.695014 | − | 1.61122i | 0.105989 | − | 0.245709i | −0.856966 | − | 0.515373i | \(-0.827653\pi\) |
0.962955 | + | 0.269664i | \(0.0869126\pi\) | |||||||
\(44\) | 7.31231 | + | 2.66146i | 1.10237 | + | 0.401231i | ||||
\(45\) | −7.37291 | − | 3.82149i | −1.09909 | − | 0.569674i | ||||
\(46\) | 4.12528 | − | 1.50148i | 0.608240 | − | 0.221381i | ||||
\(47\) | −0.684001 | + | 11.7438i | −0.0997718 | + | 1.71302i | 0.462963 | + | 0.886378i | \(0.346786\pi\) |
−0.562734 | + | 0.826638i | \(0.690251\pi\) | |||||||
\(48\) | 0.428892 | − | 6.63379i | 0.0619052 | − | 0.957505i | ||||
\(49\) | −2.62456 | − | 6.08441i | −0.374937 | − | 0.869202i | ||||
\(50\) | 0.312638 | + | 5.36779i | 0.0442137 | + | 0.759121i | ||||
\(51\) | 6.63140 | − | 11.3184i | 0.928582 | − | 1.58489i | ||||
\(52\) | −4.87673 | + | 5.16903i | −0.676280 | + | 0.716815i | ||||
\(53\) | −2.80062 | − | 4.85082i | −0.384695 | − | 0.666312i | 0.607032 | − | 0.794678i | \(-0.292360\pi\) |
−0.991727 | + | 0.128366i | \(0.959027\pi\) | |||||||
\(54\) | 7.34566 | − | 7.49306i | 0.999618 | − | 1.01968i | ||||
\(55\) | −5.18313 | + | 8.97744i | −0.698893 | + | 1.21052i | ||||
\(56\) | −0.0275984 | − | 0.0921849i | −0.00368799 | − | 0.0123187i | ||||
\(57\) | 1.01834 | − | 0.843471i | 0.134883 | − | 0.111720i | ||||
\(58\) | −7.66439 | + | 5.04095i | −1.00638 | + | 0.661909i | ||||
\(59\) | −1.50297 | − | 0.175672i | −0.195670 | − | 0.0228705i | 0.0176936 | − | 0.999843i | \(-0.494368\pi\) |
−0.213363 | + | 0.976973i | \(0.568442\pi\) | |||||||
\(60\) | −9.67947 | − | 2.35945i | −1.24961 | − | 0.304604i | ||||
\(61\) | 2.70194 | − | 1.35697i | 0.345949 | − | 0.173742i | −0.267337 | − | 0.963603i | \(-0.586144\pi\) |
0.613286 | + | 0.789861i | \(0.289847\pi\) | |||||||
\(62\) | −2.87039 | + | 16.2788i | −0.364540 | + | 2.06741i | ||||
\(63\) | −0.747787 | + | 1.67444i | −0.0942124 | + | 0.210960i | ||||
\(64\) | −1.49529 | − | 8.48019i | −0.186911 | − | 1.06002i | ||||
\(65\) | −5.65319 | − | 7.59356i | −0.701192 | − | 0.941865i | ||||
\(66\) | −8.92758 | − | 9.58455i | −1.09891 | − | 1.17978i | ||||
\(67\) | 5.25122 | + | 5.56597i | 0.641539 | + | 0.679992i | 0.963790 | − | 0.266662i | \(-0.0859209\pi\) |
−0.322251 | + | 0.946654i | \(0.604439\pi\) | |||||||
\(68\) | 4.51364 | − | 15.0766i | 0.547359 | − | 1.82831i | ||||
\(69\) | −3.73704 | − | 0.461004i | −0.449887 | − | 0.0554983i | ||||
\(70\) | 3.39392 | − | 0.396693i | 0.405651 | − | 0.0474138i | ||||
\(71\) | −5.19850 | + | 4.36206i | −0.616948 | + | 0.517681i | −0.896843 | − | 0.442350i | \(-0.854145\pi\) |
0.279895 | + | 0.960031i | \(0.409701\pi\) | |||||||
\(72\) | 0.241334 | − | 0.405941i | 0.0284415 | − | 0.0478406i | ||||
\(73\) | 0.438511 | + | 0.367955i | 0.0513238 | + | 0.0430658i | 0.668089 | − | 0.744082i | \(-0.267113\pi\) |
−0.616765 | + | 0.787147i | \(0.711557\pi\) | |||||||
\(74\) | −7.12633 | − | 4.68706i | −0.828419 | − | 0.544859i | ||||
\(75\) | 1.85364 | − | 4.22288i | 0.214040 | − | 0.487616i | ||||
\(76\) | 0.947314 | − | 1.27246i | 0.108664 | − | 0.145962i | ||||
\(77\) | 2.04565 | + | 1.02736i | 0.233123 | + | 0.117079i | ||||
\(78\) | 11.2663 | − | 4.01933i | 1.27566 | − | 0.455099i | ||||
\(79\) | 8.96673 | + | 2.12515i | 1.00884 | + | 0.239098i | 0.701628 | − | 0.712544i | \(-0.252457\pi\) |
0.307208 | + | 0.951642i | \(0.400605\pi\) | |||||||
\(80\) | 10.6242 | 1.18782 | ||||||||
\(81\) | −8.53309 | + | 2.86120i | −0.948121 | + | 0.317911i | ||||
\(82\) | −18.2595 | −2.01642 | ||||||||
\(83\) | −6.02162 | − | 1.42715i | −0.660959 | − | 0.156650i | −0.113572 | − | 0.993530i | \(-0.536229\pi\) |
−0.547387 | + | 0.836880i | \(0.684377\pi\) | |||||||
\(84\) | −0.395863 | + | 2.16415i | −0.0431922 | + | 0.236129i | ||||
\(85\) | 18.7350 | + | 9.40909i | 2.03210 | + | 1.02056i | ||||
\(86\) | −2.11603 | + | 2.84232i | −0.228177 | + | 0.306495i | ||||
\(87\) | 7.82070 | − | 0.863527i | 0.838467 | − | 0.0925798i | ||||
\(88\) | −0.492531 | − | 0.323943i | −0.0525040 | − | 0.0345324i | ||||
\(89\) | −3.52742 | − | 2.95986i | −0.373906 | − | 0.313744i | 0.436399 | − | 0.899753i | \(-0.356254\pi\) |
−0.810304 | + | 0.586009i | \(0.800698\pi\) | |||||||
\(90\) | 12.7078 | + | 10.9427i | 1.33952 | + | 1.15346i | ||||
\(91\) | −1.60143 | + | 1.34376i | −0.167875 | + | 0.140864i | ||||
\(92\) | −4.48680 | + | 0.524431i | −0.467781 | + | 0.0546757i | ||||
\(93\) | 8.53886 | − | 11.3181i | 0.885438 | − | 1.17363i | ||||
\(94\) | 6.81319 | − | 22.7577i | 0.702727 | − | 2.34727i | ||||
\(95\) | 1.45022 | + | 1.53714i | 0.148789 | + | 0.157708i | ||||
\(96\) | −4.09187 | + | 13.3568i | −0.417625 | + | 1.36322i | ||||
\(97\) | −6.28024 | − | 8.43582i | −0.637661 | − | 0.856528i | 0.359396 | − | 0.933185i | \(-0.382983\pi\) |
−0.997058 | + | 0.0766573i | \(0.975575\pi\) | |||||||
\(98\) | 2.32362 | + | 13.1779i | 0.234721 | + | 1.33117i | ||||
\(99\) | 3.08439 | + | 10.8028i | 0.309993 | + | 1.08572i | ||||
\(100\) | 0.960763 | − | 5.44876i | 0.0960763 | − | 0.544876i | ||||
\(101\) | 2.18810 | − | 1.09890i | 0.217724 | − | 0.109345i | −0.336595 | − | 0.941650i | \(-0.609275\pi\) |
0.554318 | + | 0.832305i | \(0.312979\pi\) | |||||||
\(102\) | −18.3015 | + | 19.1520i | −1.81212 | + | 1.89633i | ||||
\(103\) | −16.9425 | − | 1.98030i | −1.66940 | − | 0.195125i | −0.771777 | − | 0.635893i | \(-0.780632\pi\) |
−0.897621 | + | 0.440768i | \(0.854706\pi\) | |||||||
\(104\) | 0.449797 | − | 0.295836i | 0.0441062 | − | 0.0290091i | ||||
\(105\) | −2.74760 | − | 1.01996i | −0.268139 | − | 0.0995380i | ||||
\(106\) | 3.24407 | + | 10.8359i | 0.315092 | + | 1.05248i | ||||
\(107\) | 0.402056 | − | 0.696381i | 0.0388682 | − | 0.0673217i | −0.845937 | − | 0.533283i | \(-0.820958\pi\) |
0.884805 | + | 0.465961i | \(0.154291\pi\) | |||||||
\(108\) | −9.13306 | + | 5.75937i | −0.878829 | + | 0.554196i | ||||
\(109\) | 2.11135 | + | 3.65696i | 0.202230 | + | 0.350273i | 0.949247 | − | 0.314532i | \(-0.101848\pi\) |
−0.747016 | + | 0.664806i | \(0.768514\pi\) | |||||||
\(110\) | 14.3655 | − | 15.2265i | 1.36969 | − | 1.45179i | ||||
\(111\) | 3.61740 | + | 6.35894i | 0.343348 | + | 0.603564i | ||||
\(112\) | −0.136413 | − | 2.34212i | −0.0128898 | − | 0.221310i | ||||
\(113\) | −4.88889 | − | 11.3337i | −0.459908 | − | 1.06619i | −0.977572 | − | 0.210602i | \(-0.932458\pi\) |
0.517664 | − | 0.855584i | \(-0.326802\pi\) | |||||||
\(114\) | −2.39382 | + | 1.18314i | −0.224201 | + | 0.110811i | ||||
\(115\) | 0.349902 | − | 6.00759i | 0.0326286 | − | 0.560211i | ||||
\(116\) | 8.87030 | − | 3.22852i | 0.823586 | − | 0.299761i | ||||
\(117\) | −10.1743 | − | 1.32112i | −0.940617 | − | 0.122137i | ||||
\(118\) | 2.87146 | + | 1.04513i | 0.264339 | + | 0.0962116i | ||||
\(119\) | 1.83370 | − | 4.25099i | 0.168095 | − | 0.389688i | ||||
\(120\) | 0.672304 | + | 0.343036i | 0.0613726 | + | 0.0313148i | ||||
\(121\) | 2.94230 | − | 0.697338i | 0.267482 | − | 0.0633944i | ||||
\(122\) | −5.94116 | + | 1.40808i | −0.537888 | + | 0.127482i | ||||
\(123\) | 13.9503 | + | 7.11799i | 1.25785 | + | 0.641808i | ||||
\(124\) | 6.73702 | − | 15.6182i | 0.605002 | − | 1.40255i | ||||
\(125\) | −6.07999 | − | 2.21294i | −0.543811 | − | 0.197931i | ||||
\(126\) | 2.24917 | − | 2.94197i | 0.200372 | − | 0.262091i | ||||
\(127\) | −9.37360 | + | 3.41171i | −0.831772 | + | 0.302740i | −0.722586 | − | 0.691281i | \(-0.757047\pi\) |
−0.109186 | + | 0.994021i | \(0.534824\pi\) | |||||||
\(128\) | −0.0731698 | + | 1.25628i | −0.00646736 | + | 0.111040i | ||||
\(129\) | 2.72466 | − | 1.34666i | 0.239893 | − | 0.118567i | ||||
\(130\) | 7.57195 | + | 17.5538i | 0.664104 | + | 1.53957i | ||||
\(131\) | −0.319398 | − | 5.48385i | −0.0279059 | − | 0.479127i | −0.983091 | − | 0.183117i | \(-0.941381\pi\) |
0.955185 | − | 0.296009i | \(-0.0956559\pi\) | |||||||
\(132\) | 6.66440 | + | 11.7152i | 0.580061 | + | 1.01968i | ||||
\(133\) | 0.320246 | − | 0.339441i | 0.0277688 | − | 0.0294333i | ||||
\(134\) | −7.72636 | − | 13.3824i | −0.667456 | − | 1.15607i | ||||
\(135\) | −5.44307 | − | 13.3140i | −0.468465 | − | 1.14589i | ||||
\(136\) | −0.596125 | + | 1.03252i | −0.0511173 | + | 0.0885378i | ||||
\(137\) | 4.36818 | + | 14.5907i | 0.373199 | + | 1.24657i | 0.914102 | + | 0.405485i | \(0.132897\pi\) |
−0.540903 | + | 0.841085i | \(0.681917\pi\) | |||||||
\(138\) | 7.12845 | + | 2.64621i | 0.606814 | + | 0.225260i | ||||
\(139\) | −13.3814 | + | 8.80109i | −1.13500 | + | 0.746498i | −0.970791 | − | 0.239928i | \(-0.922876\pi\) |
−0.164205 | + | 0.986426i | \(0.552506\pi\) | |||||||
\(140\) | −3.49234 | − | 0.408196i | −0.295157 | − | 0.0344989i | ||||
\(141\) | −14.0768 | + | 14.7310i | −1.18548 | + | 1.24057i | ||||
\(142\) | 12.2463 | − | 6.15031i | 1.02768 | − | 0.516123i | ||||
\(143\) | −2.22392 | + | 12.6125i | −0.185973 | + | 1.05471i | ||||
\(144\) | 8.00772 | − | 8.27343i | 0.667310 | − | 0.689452i | ||||
\(145\) | 2.18361 | + | 12.3839i | 0.181339 | + | 1.02842i | ||||
\(146\) | −0.690299 | − | 0.927233i | −0.0571296 | − | 0.0767384i | ||||
\(147\) | 3.36182 | − | 10.9738i | 0.277278 | − | 0.905100i | ||||
\(148\) | 6.02306 | + | 6.38407i | 0.495093 | + | 0.524768i | ||||
\(149\) | −2.53544 | + | 8.46898i | −0.207712 | + | 0.693806i | 0.789118 | + | 0.614242i | \(0.210538\pi\) |
−0.996830 | + | 0.0795639i | \(0.974647\pi\) | |||||||
\(150\) | −5.60895 | + | 7.43455i | −0.457969 | + | 0.607028i | ||||
\(151\) | −0.981167 | + | 0.114682i | −0.0798462 | + | 0.00933268i | −0.155922 | − | 0.987769i | \(-0.549835\pi\) |
0.0760760 | + | 0.997102i | \(0.475761\pi\) | |||||||
\(152\) | −0.0920625 | + | 0.0772496i | −0.00746726 | + | 0.00626577i | ||||
\(153\) | 21.4483 | − | 7.49777i | 1.73399 | − | 0.606159i | ||||
\(154\) | −3.54117 | − | 2.97139i | −0.285355 | − | 0.239442i | ||||
\(155\) | 18.9312 | + | 12.4512i | 1.52059 | + | 1.00011i | ||||
\(156\) | −12.2343 | + | 1.35086i | −0.979531 | + | 0.108156i | ||||
\(157\) | 10.8674 | − | 14.5975i | 0.867314 | − | 1.16500i | −0.117789 | − | 0.993039i | \(-0.537581\pi\) |
0.985103 | − | 0.171966i | \(-0.0550119\pi\) | |||||||
\(158\) | −16.6296 | − | 8.35169i | −1.32298 | − | 0.664425i | ||||
\(159\) | 1.74564 | − | 9.54331i | 0.138439 | − | 0.756833i | ||||
\(160\) | −21.7241 | − | 5.14872i | −1.71744 | − | 0.407042i | ||||
\(161\) | −1.32888 | −0.104730 | ||||||||
\(162\) | 18.0997 | − | 1.64825i | 1.42204 | − | 0.129499i | ||||
\(163\) | 17.1469 | 1.34305 | 0.671524 | − | 0.740983i | \(-0.265640\pi\) | ||||
0.671524 | + | 0.740983i | \(0.265640\pi\) | |||||||
\(164\) | 18.2825 | + | 4.33303i | 1.42762 | + | 0.338353i | ||||
\(165\) | −16.9109 | + | 6.03307i | −1.31651 | + | 0.469674i | ||||
\(166\) | 11.1676 | + | 5.60859i | 0.866776 | + | 0.435311i | ||||
\(167\) | 3.52393 | − | 4.73346i | 0.272690 | − | 0.366286i | −0.644591 | − | 0.764528i | \(-0.722972\pi\) |
0.917280 | + | 0.398242i | \(0.130380\pi\) | |||||||
\(168\) | 0.0669908 | − | 0.152615i | 0.00516845 | − | 0.0117745i | ||||
\(169\) | 1.08962 | + | 0.716658i | 0.0838173 | + | 0.0551275i | ||||
\(170\) | −32.4318 | − | 27.2135i | −2.48740 | − | 2.08718i | ||||
\(171\) | 2.29010 | + | 0.0292468i | 0.175128 | + | 0.00223656i | ||||
\(172\) | 2.79319 | − | 2.34377i | 0.212979 | − | 0.178711i | ||||
\(173\) | −8.93192 | + | 1.04399i | −0.679081 | + | 0.0793732i | −0.448639 | − | 0.893713i | \(-0.648091\pi\) |
−0.230442 | + | 0.973086i | \(0.574017\pi\) | |||||||
\(174\) | −15.7695 | − | 1.94534i | −1.19548 | − | 0.147476i | ||||
\(175\) | 0.466802 | − | 1.55923i | 0.0352869 | − | 0.117866i | ||||
\(176\) | −9.86317 | − | 10.4544i | −0.743465 | − | 0.788027i | ||||
\(177\) | −1.78639 | − | 1.91784i | −0.134273 | − | 0.144154i | ||||
\(178\) | 5.55283 | + | 7.45874i | 0.416202 | + | 0.559056i | ||||
\(179\) | 0.223820 | + | 1.26935i | 0.0167291 | + | 0.0948754i | 0.992029 | − | 0.126009i | \(-0.0402168\pi\) |
−0.975300 | + | 0.220884i | \(0.929106\pi\) | |||||||
\(180\) | −10.1271 | − | 13.9721i | −0.754830 | − | 1.04142i | ||||
\(181\) | 0.645386 | − | 3.66017i | 0.0479712 | − | 0.272058i | −0.951382 | − | 0.308013i | \(-0.900336\pi\) |
0.999353 | + | 0.0359546i | \(0.0114472\pi\) | |||||||
\(182\) | 3.77254 | − | 1.89464i | 0.279639 | − | 0.140440i | ||||
\(183\) | 5.08797 | + | 1.24024i | 0.376113 | + | 0.0916808i | ||||
\(184\) | 0.339908 | + | 0.0397295i | 0.0250583 | + | 0.00292890i | ||||
\(185\) | −9.76862 | + | 6.42492i | −0.718203 | + | 0.472370i | ||||
\(186\) | −22.0494 | + | 18.2630i | −1.61674 | + | 1.33911i | ||||
\(187\) | −8.13437 | − | 27.1707i | −0.594844 | − | 1.98692i | ||||
\(188\) | −12.2223 | + | 21.1696i | −0.891400 | + | 1.54395i | ||||
\(189\) | −2.86522 | + | 1.37089i | −0.208414 | + | 0.0997173i | ||||
\(190\) | −2.13377 | − | 3.69580i | −0.154800 | − | 0.268122i | ||||
\(191\) | −5.00273 | + | 5.30258i | −0.361985 | + | 0.383681i | −0.882612 | − | 0.470103i | \(-0.844217\pi\) |
0.520627 | + | 0.853784i | \(0.325698\pi\) | |||||||
\(192\) | 7.53967 | − | 12.8686i | 0.544129 | − | 0.928713i | ||||
\(193\) | 0.559769 | + | 9.61086i | 0.0402931 | + | 0.691805i | 0.956614 | + | 0.291360i | \(0.0941076\pi\) |
−0.916321 | + | 0.400446i | \(0.868855\pi\) | |||||||
\(194\) | 8.41182 | + | 19.5008i | 0.603934 | + | 1.40008i | ||||
\(195\) | 1.05790 | − | 16.3629i | 0.0757579 | − | 1.17177i | ||||
\(196\) | 0.800610 | − | 13.7459i | 0.0571864 | − | 0.981853i | ||||
\(197\) | 4.63898 | − | 1.68845i | 0.330513 | − | 0.120297i | −0.171433 | − | 0.985196i | \(-0.554840\pi\) |
0.501946 | + | 0.864899i | \(0.332617\pi\) | |||||||
\(198\) | −1.02980 | − | 22.6635i | −0.0731846 | − | 1.61063i | ||||
\(199\) | −2.36550 | − | 0.860973i | −0.167686 | − | 0.0610327i | 0.256813 | − | 0.966461i | \(-0.417328\pi\) |
−0.424499 | + | 0.905428i | \(0.639550\pi\) | |||||||
\(200\) | −0.166017 | + | 0.384872i | −0.0117392 | + | 0.0272145i | ||||
\(201\) | 0.686146 | + | 13.2361i | 0.0483970 | + | 0.933605i | ||||
\(202\) | −4.81129 | + | 1.14030i | −0.338521 | + | 0.0802309i | ||||
\(203\) | 2.70201 | − | 0.640389i | 0.189644 | − | 0.0449465i | ||||
\(204\) | 22.8694 | − | 14.8331i | 1.60118 | − | 1.03853i | ||||
\(205\) | −9.91376 | + | 22.9827i | −0.692407 | + | 1.60518i | ||||
\(206\) | 32.3692 | + | 11.7814i | 2.25527 | + | 0.820851i | ||||
\(207\) | −4.41460 | − | 4.80056i | −0.306836 | − | 0.333662i | ||||
\(208\) | 12.3341 | − | 4.48925i | 0.855217 | − | 0.311273i | ||||
\(209\) | 0.166231 | − | 2.85408i | 0.0114984 | − | 0.197421i | ||||
\(210\) | 4.92394 | + | 3.28376i | 0.339784 | + | 0.226601i | ||||
\(211\) | 2.76773 | + | 6.41632i | 0.190538 | + | 0.441718i | 0.986528 | − | 0.163593i | \(-0.0523083\pi\) |
−0.795990 | + | 0.605310i | \(0.793049\pi\) | |||||||
\(212\) | −0.676756 | − | 11.6194i | −0.0464798 | − | 0.798027i | ||||
\(213\) | −11.7537 | − | 0.0750504i | −0.805352 | − | 0.00514237i | ||||
\(214\) | −1.11433 | + | 1.18112i | −0.0761741 | + | 0.0807399i | ||||
\(215\) | 2.42868 | + | 4.20659i | 0.165634 | + | 0.286887i | ||||
\(216\) | 0.773867 | − | 0.264991i | 0.0526550 | − | 0.0180304i | ||||
\(217\) | 2.50183 | − | 4.33330i | 0.169835 | − | 0.294163i | ||||
\(218\) | −2.44565 | − | 8.16905i | −0.165641 | − | 0.553278i | ||||
\(219\) | 0.165932 | + | 0.977504i | 0.0112126 | + | 0.0660536i | ||||
\(220\) | −17.9969 | + | 11.8368i | −1.21335 | + | 0.798034i | ||||
\(221\) | 25.7262 | + | 3.00696i | 1.73053 | + | 0.202270i | ||||
\(222\) | −4.14666 | − | 14.1797i | −0.278306 | − | 0.951680i | ||||
\(223\) | −16.0838 | + | 8.07758i | −1.07705 | + | 0.540915i | −0.896678 | − | 0.442684i | \(-0.854026\pi\) |
−0.180372 | + | 0.983598i | \(0.557730\pi\) | |||||||
\(224\) | −0.856110 | + | 4.85524i | −0.0572012 | + | 0.324404i | ||||
\(225\) | 7.18342 | − | 3.49351i | 0.478895 | − | 0.232900i | ||||
\(226\) | 4.32831 | + | 24.5471i | 0.287915 | + | 1.63285i | ||||
\(227\) | −0.366363 | − | 0.492111i | −0.0243164 | − | 0.0326626i | 0.789799 | − | 0.613366i | \(-0.210185\pi\) |
−0.814115 | + | 0.580704i | \(0.802778\pi\) | |||||||
\(228\) | 2.67760 | − | 0.616572i | 0.177328 | − | 0.0408335i | ||||
\(229\) | 3.42793 | + | 3.63340i | 0.226524 | + | 0.240102i | 0.830660 | − | 0.556779i | \(-0.187963\pi\) |
−0.604136 | + | 0.796881i | \(0.706482\pi\) | |||||||
\(230\) | −3.48531 | + | 11.6417i | −0.229814 | + | 0.767633i | ||||
\(231\) | 1.54714 | + | 3.65059i | 0.101794 | + | 0.240191i | ||||
\(232\) | −0.710282 | + | 0.0830200i | −0.0466323 | + | 0.00545053i | ||||
\(233\) | 10.0792 | − | 8.45747i | 0.660311 | − | 0.554067i | −0.249869 | − | 0.968280i | \(-0.580387\pi\) |
0.910180 | + | 0.414213i | \(0.135943\pi\) | |||||||
\(234\) | 19.3769 | + | 7.33418i | 1.26671 | + | 0.479450i | ||||
\(235\) | −24.9453 | − | 20.9316i | −1.62725 | − | 1.36543i | ||||
\(236\) | −2.62707 | − | 1.72785i | −0.171008 | − | 0.112474i | ||||
\(237\) | 9.44934 | + | 12.8633i | 0.613801 | + | 0.835563i | ||||
\(238\) | −5.58285 | + | 7.49907i | −0.361882 | + | 0.486092i | ||||
\(239\) | −8.13043 | − | 4.08325i | −0.525914 | − | 0.264124i | 0.165972 | − | 0.986130i | \(-0.446924\pi\) |
−0.691886 | + | 0.722007i | \(0.743220\pi\) | |||||||
\(240\) | 14.0206 | + | 11.9181i | 0.905029 | + | 0.769310i | ||||
\(241\) | −13.8660 | − | 3.28630i | −0.893188 | − | 0.211689i | −0.241702 | − | 0.970350i | \(-0.577706\pi\) |
−0.651486 | + | 0.758661i | \(0.725854\pi\) | |||||||
\(242\) | −6.10626 | −0.392526 | ||||||||
\(243\) | −14.4707 | − | 5.79643i | −0.928296 | − | 0.371841i | ||||
\(244\) | 6.28280 | 0.402215 | ||||||||
\(245\) | 17.8482 | + | 4.23011i | 1.14028 | + | 0.270252i | ||||
\(246\) | −24.0969 | − | 20.4833i | −1.53636 | − | 1.30597i | ||||
\(247\) | 2.33315 | + | 1.17175i | 0.148455 | + | 0.0745568i | ||||
\(248\) | −0.769484 | + | 1.03360i | −0.0488623 | + | 0.0656335i | ||||
\(249\) | −6.34572 | − | 8.63840i | −0.402144 | − | 0.547436i | ||||
\(250\) | 10.9164 | + | 7.17981i | 0.690412 | + | 0.454091i | ||||
\(251\) | 6.58379 | + | 5.52445i | 0.415565 | + | 0.348700i | 0.826473 | − | 0.562976i | \(-0.190344\pi\) |
−0.410908 | + | 0.911677i | \(0.634788\pi\) | |||||||
\(252\) | −2.95014 | + | 2.41194i | −0.185842 | + | 0.151938i | ||||
\(253\) | −6.23640 | + | 5.23296i | −0.392079 | + | 0.328993i | ||||
\(254\) | 20.0076 | − | 2.33855i | 1.25539 | − | 0.146734i | ||||
\(255\) | 14.1695 | + | 33.4339i | 0.887326 | + | 2.09371i | ||||
\(256\) | −4.21050 | + | 14.0640i | −0.263156 | + | 0.879003i | ||||
\(257\) | 15.2323 | + | 16.1453i | 0.950164 | + | 1.00711i | 0.999965 | + | 0.00835579i | \(0.00265976\pi\) |
−0.0498011 | + | 0.998759i | \(0.515859\pi\) | |||||||
\(258\) | −5.98100 | + | 1.37725i | −0.372361 | + | 0.0857437i | ||||
\(259\) | 1.54182 | + | 2.07102i | 0.0958038 | + | 0.128687i | ||||
\(260\) | −3.41594 | − | 19.3728i | −0.211848 | − | 1.20145i | ||||
\(261\) | 11.2896 | + | 7.63359i | 0.698809 | + | 0.472508i | ||||
\(262\) | −1.92625 | + | 10.9243i | −0.119004 | + | 0.674906i | ||||
\(263\) | 4.70276 | − | 2.36182i | 0.289985 | − | 0.145636i | −0.297860 | − | 0.954610i | \(-0.596273\pi\) |
0.587845 | + | 0.808974i | \(0.299977\pi\) | |||||||
\(264\) | −0.286594 | − | 0.980022i | −0.0176386 | − | 0.0603162i | ||||
\(265\) | 15.4002 | + | 1.80003i | 0.946029 | + | 0.110575i | ||||
\(266\) | −0.787350 | + | 0.517848i | −0.0482755 | + | 0.0317513i | ||||
\(267\) | −1.33477 | − | 7.86313i | −0.0816866 | − | 0.481216i | ||||
\(268\) | 4.56041 | + | 15.2328i | 0.278571 | + | 0.930493i | ||||
\(269\) | −3.11423 | + | 5.39401i | −0.189878 | + | 0.328878i | −0.945209 | − | 0.326465i | \(-0.894143\pi\) |
0.755331 | + | 0.655343i | \(0.227476\pi\) | |||||||
\(270\) | 4.49501 | + | 28.6965i | 0.273558 | + | 1.74641i | ||||
\(271\) | −3.65935 | − | 6.33818i | −0.222290 | − | 0.385017i | 0.733213 | − | 0.679999i | \(-0.238020\pi\) |
−0.955503 | + | 0.294982i | \(0.904686\pi\) | |||||||
\(272\) | −19.9476 | + | 21.1432i | −1.20950 | + | 1.28200i | ||||
\(273\) | −3.62081 | − | 0.0231197i | −0.219141 | − | 0.00139927i | ||||
\(274\) | −1.78833 | − | 30.7045i | −0.108037 | − | 1.85493i | ||||
\(275\) | −3.94935 | − | 9.15562i | −0.238155 | − | 0.552105i | ||||
\(276\) | −6.50949 | − | 4.34116i | −0.391825 | − | 0.261307i | ||||
\(277\) | 1.08332 | − | 18.5999i | 0.0650903 | − | 1.11756i | −0.794731 | − | 0.606962i | \(-0.792388\pi\) |
0.859821 | − | 0.510595i | \(-0.170575\pi\) | |||||||
\(278\) | 30.3926 | − | 11.0620i | 1.82283 | − | 0.663456i | ||||
\(279\) | 23.9652 | − | 5.35757i | 1.43476 | − | 0.320750i | ||||
\(280\) | 0.250307 | + | 0.0911045i | 0.0149587 | + | 0.00544453i | ||||
\(281\) | −0.404770 | + | 0.938363i | −0.0241466 | + | 0.0559780i | −0.929863 | − | 0.367907i | \(-0.880075\pi\) |
0.905716 | + | 0.423885i | \(0.139334\pi\) | |||||||
\(282\) | 34.5206 | − | 22.3901i | 2.05567 | − | 1.33331i | ||||
\(283\) | −10.6678 | + | 2.52831i | −0.634134 | + | 0.150293i | −0.535096 | − | 0.844791i | \(-0.679725\pi\) |
−0.0990378 | + | 0.995084i | \(0.531576\pi\) | |||||||
\(284\) | −13.7212 | + | 3.25199i | −0.814204 | + | 0.192970i | ||||
\(285\) | 0.189492 | + | 3.65540i | 0.0112245 | + | 0.216527i | ||||
\(286\) | 10.2436 | − | 23.7473i | 0.605716 | − | 1.40421i | ||||
\(287\) | 5.19387 | + | 1.89041i | 0.306584 | + | 0.111588i | ||||
\(288\) | −20.3835 | + | 13.0366i | −1.20111 | + | 0.768191i | ||||
\(289\) | −37.9265 | + | 13.8041i | −2.23097 | + | 0.812008i | ||||
\(290\) | 1.47651 | − | 25.3508i | 0.0867039 | − | 1.48865i | ||||
\(291\) | 1.17524 | − | 18.1778i | 0.0688939 | − | 1.06560i | ||||
\(292\) | 0.471135 | + | 1.09221i | 0.0275711 | + | 0.0639170i | ||||
\(293\) | −1.41173 | − | 24.2385i | −0.0824741 | − | 1.41603i | −0.745039 | − | 0.667021i | \(-0.767569\pi\) |
0.662565 | − | 0.749005i | \(-0.269468\pi\) | |||||||
\(294\) | −11.7164 | + | 19.9974i | −0.683313 | + | 1.16627i | ||||
\(295\) | 2.87450 | − | 3.04679i | 0.167360 | − | 0.177391i | ||||
\(296\) | −0.332457 | − | 0.575832i | −0.0193237 | − | 0.0334696i | ||||
\(297\) | −8.04804 | + | 17.7164i | −0.466995 | + | 1.02801i | ||||
\(298\) | 8.92609 | − | 15.4604i | 0.517075 | − | 0.895599i | ||||
\(299\) | −2.13229 | − | 7.12235i | −0.123314 | − | 0.411896i | ||||
\(300\) | 7.38027 | − | 6.11291i | 0.426100 | − | 0.352929i | ||||
\(301\) | 0.896168 | − | 0.589419i | 0.0516543 | − | 0.0339735i | ||||
\(302\) | 1.98136 | + | 0.231588i | 0.114015 | + | 0.0133264i | ||||
\(303\) | 4.12035 | + | 1.00437i | 0.236708 | + | 0.0576996i | ||||
\(304\) | −2.61839 | + | 1.31500i | −0.150175 | + | 0.0754206i | ||||
\(305\) | −1.45337 | + | 8.24247i | −0.0832198 | + | 0.471963i | ||||
\(306\) | −45.6368 | + | 4.74427i | −2.60888 | + | 0.271212i | ||||
\(307\) | −4.31169 | − | 24.4528i | −0.246081 | − | 1.39560i | −0.817968 | − | 0.575264i | \(-0.804899\pi\) |
0.571887 | − | 0.820333i | \(-0.306212\pi\) | |||||||
\(308\) | 2.84051 | + | 3.81547i | 0.161853 | + | 0.217407i | ||||
\(309\) | −20.1375 | − | 21.6194i | −1.14558 | − | 1.22988i | ||||
\(310\) | −31.4005 | − | 33.2826i | −1.78343 | − | 1.89032i | ||||
\(311\) | −0.530789 | + | 1.77296i | −0.0300983 | + | 0.100535i | −0.971719 | − | 0.236140i | \(-0.924117\pi\) |
0.941621 | + | 0.336676i | \(0.109303\pi\) | |||||||
\(312\) | 0.925459 | + | 0.114165i | 0.0523938 | + | 0.00646333i | ||||
\(313\) | 6.90453 | − | 0.807024i | 0.390267 | − | 0.0456157i | 0.0813032 | − | 0.996689i | \(-0.474092\pi\) |
0.308964 | + | 0.951074i | \(0.400018\pi\) | |||||||
\(314\) | −28.1521 | + | 23.6225i | −1.58872 | + | 1.33309i | ||||
\(315\) | −2.48181 | − | 4.42827i | −0.139834 | − | 0.249505i | ||||
\(316\) | 14.6687 | + | 12.3085i | 0.825178 | + | 0.692406i | ||||
\(317\) | −21.7538 | − | 14.3077i | −1.22182 | − | 0.803602i | −0.236054 | − | 0.971740i | \(-0.575854\pi\) |
−0.985763 | + | 0.168138i | \(0.946225\pi\) | |||||||
\(318\) | −7.87448 | + | 17.9393i | −0.441579 | + | 1.00598i | ||||
\(319\) | 10.1587 | − | 13.6455i | 0.568779 | − | 0.764003i | ||||
\(320\) | 21.3011 | + | 10.6978i | 1.19077 | + | 0.598026i | ||||
\(321\) | 1.31178 | − | 0.467986i | 0.0732166 | − | 0.0261204i | ||||
\(322\) | 2.61120 | + | 0.618865i | 0.145516 | + | 0.0344880i | ||||
\(323\) | −5.78196 | −0.321717 | ||||||||
\(324\) | −18.5136 | − | 2.64478i | −1.02854 | − | 0.146932i | ||||
\(325\) | 9.10595 | 0.505107 | ||||||||
\(326\) | −33.6930 | − | 7.98538i | −1.86608 | − | 0.442269i | ||||
\(327\) | −1.31601 | + | 7.19455i | −0.0727758 | + | 0.397860i | ||||
\(328\) | −1.27200 | − | 0.638822i | −0.0702344 | − | 0.0352730i | ||||
\(329\) | −4.29411 | + | 5.76800i | −0.236742 | + | 0.318000i | ||||
\(330\) | 36.0390 | − | 3.97926i | 1.98388 | − | 0.219051i | ||||
\(331\) | 21.7523 | + | 14.3067i | 1.19562 | + | 0.786369i | 0.981691 | − | 0.190481i | \(-0.0610049\pi\) |
0.213925 | + | 0.976850i | \(0.431375\pi\) | |||||||
\(332\) | −9.85078 | − | 8.26579i | −0.540632 | − | 0.453644i | ||||
\(333\) | −2.35955 | + | 12.4498i | −0.129302 | + | 0.682245i | ||||
\(334\) | −9.12878 | + | 7.65996i | −0.499505 | + | 0.419134i | ||||
\(335\) | −21.0390 | + | 2.45911i | −1.14949 | + | 0.134356i | ||||
\(336\) | 2.44735 | − | 3.24391i | 0.133514 | − | 0.176970i | ||||
\(337\) | 4.31097 | − | 14.3996i | 0.234834 | − | 0.784399i | −0.756610 | − | 0.653866i | \(-0.773146\pi\) |
0.991444 | − | 0.130533i | \(-0.0416688\pi\) | |||||||
\(338\) | −1.80732 | − | 1.91565i | −0.0983053 | − | 0.104197i | ||||
\(339\) | 6.26222 | − | 20.4413i | 0.340117 | − | 1.11022i | ||||
\(340\) | 26.0148 | + | 34.9440i | 1.41085 | + | 1.89510i | ||||
\(341\) | −5.32295 | − | 30.1880i | −0.288254 | − | 1.63477i | ||||
\(342\) | −4.48633 | − | 1.12398i | −0.242593 | − | 0.0607777i | ||||
\(343\) | 1.44640 | − | 8.20293i | 0.0780981 | − | 0.442917i | ||||
\(344\) | −0.246849 | + | 0.123972i | −0.0133092 | + | 0.00668413i | ||||
\(345\) | 7.20102 | − | 7.53565i | 0.387690 | − | 0.405706i | ||||
\(346\) | 18.0371 | + | 2.10823i | 0.969679 | + | 0.113339i | ||||
\(347\) | 21.2399 | − | 13.9697i | 1.14022 | − | 0.749931i | 0.168410 | − | 0.985717i | \(-0.446137\pi\) |
0.971805 | + | 0.235786i | \(0.0757663\pi\) | |||||||
\(348\) | 15.3278 | + | 5.68995i | 0.821656 | + | 0.305014i | ||||
\(349\) | 8.39345 | + | 28.0361i | 0.449291 | + | 1.50074i | 0.820205 | + | 0.572070i | \(0.193859\pi\) |
−0.370913 | + | 0.928667i | \(0.620955\pi\) | |||||||
\(350\) | −1.64339 | + | 2.84643i | −0.0878427 | + | 0.152148i | ||||
\(351\) | −11.9450 | − | 13.1569i | −0.637575 | − | 0.702265i | ||||
\(352\) | 15.1016 | + | 26.1568i | 0.804920 | + | 1.39416i | ||||
\(353\) | −19.6894 | + | 20.8696i | −1.04796 | + | 1.11077i | −0.0542820 | + | 0.998526i | \(0.517287\pi\) |
−0.993680 | + | 0.112249i | \(0.964194\pi\) | |||||||
\(354\) | 2.61703 | + | 4.60042i | 0.139094 | + | 0.244510i | ||||
\(355\) | −1.09225 | − | 18.7533i | −0.0579708 | − | 0.995321i | ||||
\(356\) | −3.78985 | − | 8.78586i | −0.200862 | − | 0.465650i | ||||
\(357\) | 7.18863 | − | 3.55297i | 0.380463 | − | 0.188043i | ||||
\(358\) | 0.151342 | − | 2.59845i | 0.00799870 | − | 0.137332i | ||||
\(359\) | 19.5984 | − | 7.13322i | 1.03436 | − | 0.376477i | 0.231622 | − | 0.972806i | \(-0.425597\pi\) |
0.802740 | + | 0.596329i | \(0.203375\pi\) | |||||||
\(360\) | 0.502419 | + | 1.20689i | 0.0264798 | + | 0.0636085i | ||||
\(361\) | 17.3065 | + | 6.29905i | 0.910868 | + | 0.331529i | ||||
\(362\) | −2.97272 | + | 6.89153i | −0.156242 | + | 0.362211i | ||||
\(363\) | 4.66520 | + | 2.38037i | 0.244860 | + | 0.124937i | ||||
\(364\) | −4.22691 | + | 1.00180i | −0.221550 | + | 0.0525083i | ||||
\(365\) | −1.54187 | + | 0.365430i | −0.0807053 | + | 0.0191275i | ||||
\(366\) | −9.42008 | − | 4.80650i | −0.492395 | − | 0.251240i | ||||
\(367\) | −13.6912 | + | 31.7398i | −0.714675 | + | 1.65680i | 0.0387337 | + | 0.999250i | \(0.487668\pi\) |
−0.753408 | + | 0.657553i | \(0.771592\pi\) | |||||||
\(368\) | 7.84042 | + | 2.85368i | 0.408710 | + | 0.148758i | ||||
\(369\) | 10.4252 | + | 25.0428i | 0.542713 | + | 1.30368i | ||||
\(370\) | 22.1871 | − | 8.07544i | 1.15345 | − | 0.419822i | ||||
\(371\) | 0.199083 | − | 3.41812i | 0.0103359 | − | 0.177460i | ||||
\(372\) | 26.4111 | − | 13.0537i | 1.36935 | − | 0.676800i | ||||
\(373\) | −3.71104 | − | 8.60317i | −0.192151 | − | 0.445455i | 0.794718 | − | 0.606978i | \(-0.207619\pi\) |
−0.986869 | + | 0.161523i | \(0.948359\pi\) | |||||||
\(374\) | 3.33021 | + | 57.1775i | 0.172201 | + | 2.95658i | ||||
\(375\) | −5.54127 | − | 9.74087i | −0.286150 | − | 0.503016i | ||||
\(376\) | 1.27082 | − | 1.34699i | 0.0655374 | − | 0.0694656i | ||||
\(377\) | 7.76787 | + | 13.4543i | 0.400065 | + | 0.692934i | ||||
\(378\) | 6.26848 | − | 1.35939i | 0.322416 | − | 0.0699197i | ||||
\(379\) | 0.963771 | − | 1.66930i | 0.0495056 | − | 0.0857462i | −0.840211 | − | 0.542260i | \(-0.817569\pi\) |
0.889716 | + | 0.456514i | \(0.150902\pi\) | |||||||
\(380\) | 1.25944 | + | 4.20682i | 0.0646078 | + | 0.215805i | ||||
\(381\) | −16.1975 | − | 6.01280i | −0.829822 | − | 0.308045i | ||||
\(382\) | 12.2996 | − | 8.08957i | 0.629302 | − | 0.413899i | ||||
\(383\) | −19.3602 | − | 2.26289i | −0.989263 | − | 0.115628i | −0.393958 | − | 0.919128i | \(-0.628894\pi\) |
−0.595304 | + | 0.803500i | \(0.702969\pi\) | |||||||
\(384\) | −1.50584 | + | 1.57582i | −0.0768446 | + | 0.0804156i | ||||
\(385\) | −5.66264 | + | 2.84389i | −0.288595 | + | 0.144938i | ||||
\(386\) | 3.37590 | − | 19.1457i | 0.171829 | − | 0.974489i | ||||
\(387\) | 5.10638 | + | 1.27932i | 0.259572 | + | 0.0650315i | ||||
\(388\) | −3.79483 | − | 21.5216i | −0.192653 | − | 1.09259i | ||||
\(389\) | −5.45798 | − | 7.33134i | −0.276730 | − | 0.371714i | 0.641929 | − | 0.766764i | \(-0.278134\pi\) |
−0.918659 | + | 0.395051i | \(0.870727\pi\) | |||||||
\(390\) | −9.69899 | + | 31.6597i | −0.491127 | + | 1.60315i | ||||
\(391\) | 11.2988 | + | 11.9760i | 0.571403 | + | 0.605652i | ||||
\(392\) | −0.299170 | + | 0.999299i | −0.0151104 | + | 0.0504722i | ||||
\(393\) | 5.73023 | − | 7.59530i | 0.289052 | − | 0.383132i | ||||
\(394\) | −9.90173 | + | 1.15735i | −0.498842 | + | 0.0583062i | ||||
\(395\) | −19.5409 | + | 16.3967i | −0.983208 | + | 0.825009i | ||||
\(396\) | −4.34704 | + | 22.9365i | −0.218447 | + | 1.15260i | ||||
\(397\) | 25.5466 | + | 21.4361i | 1.28215 | + | 1.07585i | 0.992944 | + | 0.118581i | \(0.0378344\pi\) |
0.289202 | + | 0.957268i | \(0.406610\pi\) | |||||||
\(398\) | 4.24716 | + | 2.79340i | 0.212891 | + | 0.140021i | ||||
\(399\) | 0.803407 | − | 0.0887087i | 0.0402207 | − | 0.00444099i | ||||
\(400\) | −6.10248 | + | 8.19705i | −0.305124 | + | 0.409853i | ||||
\(401\) | −3.17125 | − | 1.59266i | −0.158365 | − | 0.0795337i | 0.367852 | − | 0.929885i | \(-0.380093\pi\) |
−0.526216 | + | 0.850351i | \(0.676390\pi\) | |||||||
\(402\) | 4.81588 | − | 26.3281i | 0.240194 | − | 1.31312i | ||||
\(403\) | 27.2394 | + | 6.45586i | 1.35689 | + | 0.321589i | ||||
\(404\) | 5.08795 | 0.253135 | ||||||||
\(405\) | 7.75239 | − | 23.6764i | 0.385219 | − | 1.17649i | ||||
\(406\) | −5.60758 | −0.278300 | ||||||||
\(407\) | 15.3911 | + | 3.64776i | 0.762910 | + | 0.180813i | ||||
\(408\) | −1.94497 | + | 0.693880i | −0.0962904 | + | 0.0343522i | ||||
\(409\) | −28.6274 | − | 14.3772i | −1.41553 | − | 0.710908i | −0.433772 | − | 0.901023i | \(-0.642818\pi\) |
−0.981762 | + | 0.190115i | \(0.939114\pi\) | |||||||
\(410\) | 30.1833 | − | 40.5432i | 1.49065 | − | 2.00228i | ||||
\(411\) | −10.6031 | + | 24.1554i | −0.523012 | + | 1.19150i | ||||
\(412\) | −29.6143 | − | 19.4776i | −1.45899 | − | 0.959593i | ||||
\(413\) | −0.708579 | − | 0.594568i | −0.0348669 | − | 0.0292568i | ||||
\(414\) | 6.43887 | + | 11.4888i | 0.316453 | + | 0.564644i | ||||
\(415\) | 13.1227 | − | 11.0113i | 0.644168 | − | 0.540522i | ||||
\(416\) | −27.3962 | + | 3.20215i | −1.34321 | + | 0.156998i | ||||
\(417\) | −27.5323 | − | 3.39640i | −1.34826 | − | 0.166322i | ||||
\(418\) | −1.65579 | + | 5.53074i | −0.0809875 | + | 0.270517i | ||||
\(419\) | 10.1803 | + | 10.7904i | 0.497338 | + | 0.527147i | 0.926608 | − | 0.376029i | \(-0.122711\pi\) |
−0.429270 | + | 0.903176i | \(0.641229\pi\) | |||||||
\(420\) | −4.15090 | − | 4.45637i | −0.202543 | − | 0.217448i | ||||
\(421\) | −9.30357 | − | 12.4969i | −0.453428 | − | 0.609060i | 0.515353 | − | 0.856978i | \(-0.327661\pi\) |
−0.968781 | + | 0.247918i | \(0.920254\pi\) | |||||||
\(422\) | −2.45037 | − | 13.8968i | −0.119282 | − | 0.676484i | ||||
\(423\) | −35.1021 | + | 3.64911i | −1.70672 | + | 0.177426i | ||||
\(424\) | −0.153114 | + | 0.868355i | −0.00743589 | + | 0.0421710i | ||||
\(425\) | −18.0209 | + | 9.05042i | −0.874141 | + | 0.439010i | ||||
\(426\) | 23.0607 | + | 5.62123i | 1.11729 | + | 0.272350i | ||||
\(427\) | 1.83573 | + | 0.214566i | 0.0888373 | + | 0.0103836i | ||||
\(428\) | 1.39602 | − | 0.918178i | 0.0674793 | − | 0.0443818i | ||||
\(429\) | −17.0834 | + | 14.1498i | −0.824795 | + | 0.683159i | ||||
\(430\) | −2.81323 | − | 9.39684i | −0.135666 | − | 0.453156i | ||||
\(431\) | −0.648713 | + | 1.12360i | −0.0312474 | + | 0.0541221i | −0.881226 | − | 0.472695i | \(-0.843281\pi\) |
0.849979 | + | 0.526817i | \(0.176615\pi\) | |||||||
\(432\) | 19.8488 | − | 1.93540i | 0.954975 | − | 0.0931168i | ||||
\(433\) | −8.76506 | − | 15.1815i | −0.421222 | − | 0.729577i | 0.574838 | − | 0.818268i | \(-0.305065\pi\) |
−0.996059 | + | 0.0886901i | \(0.971732\pi\) | |||||||
\(434\) | −6.93403 | + | 7.34965i | −0.332844 | + | 0.352794i | ||||
\(435\) | −11.0104 | + | 18.7925i | −0.527909 | + | 0.901029i | ||||
\(436\) | 0.510196 | + | 8.75972i | 0.0244339 | + | 0.419515i | ||||
\(437\) | 0.657352 | + | 1.52391i | 0.0314454 | + | 0.0728986i | ||||
\(438\) | 0.129178 | − | 1.99803i | 0.00617237 | − | 0.0954697i | ||||
\(439\) | −1.26280 | + | 21.6815i | −0.0602702 | + | 1.03480i | 0.823631 | + | 0.567126i | \(0.191945\pi\) |
−0.883901 | + | 0.467674i | \(0.845092\pi\) | |||||||
\(440\) | 1.53345 | − | 0.558129i | 0.0731042 | − | 0.0266077i | ||||
\(441\) | 16.7468 | − | 10.7107i | 0.797468 | − | 0.510034i | ||||
\(442\) | −49.1506 | − | 17.8894i | −2.33786 | − | 0.850910i | ||||
\(443\) | 3.62162 | − | 8.39585i | 0.172068 | − | 0.398899i | −0.810259 | − | 0.586072i | \(-0.800673\pi\) |
0.982327 | + | 0.187174i | \(0.0599327\pi\) | |||||||
\(444\) | 0.786998 | + | 15.1816i | 0.0373493 | + | 0.720488i | ||||
\(445\) | 12.4030 | − | 2.93955i | 0.587956 | − | 0.139348i | ||||
\(446\) | 35.3658 | − | 8.38185i | 1.67462 | − | 0.396892i | ||||
\(447\) | −12.8464 | + | 8.33220i | −0.607615 | + | 0.394100i | ||||
\(448\) | 2.08485 | − | 4.83323i | 0.0984999 | − | 0.228348i | ||||
\(449\) | −11.6732 | − | 4.24870i | −0.550893 | − | 0.200509i | 0.0515501 | − | 0.998670i | \(-0.483584\pi\) |
−0.602443 | + | 0.798162i | \(0.705806\pi\) | |||||||
\(450\) | −15.7421 | + | 3.51925i | −0.742089 | + | 0.165899i | ||||
\(451\) | 31.8189 | − | 11.5811i | 1.49829 | − | 0.545335i | ||||
\(452\) | 1.49133 | − | 25.6052i | 0.0701464 | − | 1.20437i | ||||
\(453\) | −1.42349 | − | 0.949318i | −0.0668812 | − | 0.0446029i | ||||
\(454\) | 0.490711 | + | 1.13760i | 0.0230302 | + | 0.0533901i | ||||
\(455\) | −0.336476 | − | 5.77706i | −0.0157742 | − | 0.270833i | ||||
\(456\) | −0.208152 | − | 0.00132910i | −0.00974761 | − | 6.22409e-5i | ||||
\(457\) | 12.8292 | − | 13.5982i | 0.600125 | − | 0.636096i | −0.354092 | − | 0.935211i | \(-0.615210\pi\) |
0.954217 | + | 0.299115i | \(0.0966914\pi\) | |||||||
\(458\) | −5.04367 | − | 8.73589i | −0.235675 | − | 0.408201i | ||||
\(459\) | 36.7160 | + | 14.1657i | 1.71376 | + | 0.661199i | ||||
\(460\) | 6.25233 | − | 10.8293i | 0.291516 | − | 0.504921i | ||||
\(461\) | −11.7824 | − | 39.3560i | −0.548762 | − | 1.83299i | −0.553268 | − | 0.833003i | \(-0.686619\pi\) |
0.00450593 | − | 0.999990i | \(-0.498566\pi\) | |||||||
\(462\) | −1.33997 | − | 7.89377i | −0.0623412 | − | 0.367251i | ||||
\(463\) | 3.45041 | − | 2.26937i | 0.160354 | − | 0.105466i | −0.466796 | − | 0.884365i | \(-0.654592\pi\) |
0.627150 | + | 0.778899i | \(0.284221\pi\) | |||||||
\(464\) | −17.3172 | − | 2.02408i | −0.803929 | − | 0.0939658i | ||||
\(465\) | 11.0157 | + | 37.6686i | 0.510840 | + | 1.74684i | ||||
\(466\) | −23.7440 | + | 11.9247i | −1.09992 | + | 0.552399i | ||||
\(467\) | −4.38922 | + | 24.8925i | −0.203109 | + | 1.15189i | 0.697279 | + | 0.716799i | \(0.254394\pi\) |
−0.900388 | + | 0.435087i | \(0.856717\pi\) | |||||||
\(468\) | −17.6609 | − | 11.9416i | −0.816378 | − | 0.552003i | ||||
\(469\) | 0.812254 | + | 4.60652i | 0.0375064 | + | 0.212710i | ||||
\(470\) | 39.2686 | + | 52.7469i | 1.81132 | + | 2.43303i | ||||
\(471\) | 30.7169 | − | 7.07321i | 1.41536 | − | 0.325916i | ||||
\(472\) | 0.163468 | + | 0.173266i | 0.00752424 | + | 0.00797523i | ||||
\(473\) | 1.88464 | − | 6.29513i | 0.0866558 | − | 0.289450i | ||||
\(474\) | −12.5771 | − | 29.6766i | −0.577685 | − | 1.36309i | ||||
\(475\) | −2.01898 | + | 0.235985i | −0.0926371 | + | 0.0108277i | ||||
\(476\) | 7.36945 | − | 6.18370i | 0.337778 | − | 0.283430i | ||||
\(477\) | 13.0093 | − | 10.6360i | 0.595655 | − | 0.486988i | ||||
\(478\) | 14.0744 | + | 11.8098i | 0.643748 | + | 0.540168i | ||||
\(479\) | 17.3799 | + | 11.4309i | 0.794107 | + | 0.522293i | 0.880544 | − | 0.473965i | \(-0.157178\pi\) |
−0.0864365 | + | 0.996257i | \(0.527548\pi\) | |||||||
\(480\) | −22.8934 | − | 31.1646i | −1.04494 | − | 1.42246i | ||||
\(481\) | −8.62600 | + | 11.5867i | −0.393312 | + | 0.528309i | ||||
\(482\) | 25.7157 | + | 12.9149i | 1.17132 | + | 0.588258i | ||||
\(483\) | −1.75371 | − | 1.49072i | −0.0797966 | − | 0.0678302i | ||||
\(484\) | 6.11397 | + | 1.44904i | 0.277908 | + | 0.0658653i | ||||
\(485\) | 29.1122 | 1.32192 | ||||||||
\(486\) | 25.7350 | + | 18.1288i | 1.16736 | + | 0.822341i | ||||
\(487\) | −6.60060 | −0.299102 | −0.149551 | − | 0.988754i | \(-0.547783\pi\) | ||||
−0.149551 | + | 0.988754i | \(0.547783\pi\) | |||||||
\(488\) | −0.463139 | − | 0.109766i | −0.0209653 | − | 0.00496887i | ||||
\(489\) | 22.6286 | + | 19.2352i | 1.02330 | + | 0.869846i | ||||
\(490\) | −33.1011 | − | 16.6240i | −1.49536 | − | 0.750996i | ||||
\(491\) | −21.8233 | + | 29.3138i | −0.984873 | + | 1.32291i | −0.0387011 | + | 0.999251i | \(0.512322\pi\) |
−0.946172 | + | 0.323664i | \(0.895085\pi\) | |||||||
\(492\) | 19.2665 | + | 26.2274i | 0.868602 | + | 1.18242i | ||||
\(493\) | −28.7451 | − | 18.9059i | −1.29461 | − | 0.851480i | ||||
\(494\) | −4.03886 | − | 3.38900i | −0.181717 | − | 0.152479i | ||||
\(495\) | −29.0851 | − | 11.0087i | −1.30728 | − | 0.494805i | ||||
\(496\) | −24.0663 | + | 20.1941i | −1.08061 | + | 0.906740i | ||||
\(497\) | −4.12017 | + | 0.481579i | −0.184815 | + | 0.0216018i | ||||
\(498\) | 8.44617 | + | 19.9293i | 0.378482 | + | 0.893056i | ||||
\(499\) | −10.4379 | + | 34.8650i | −0.467264 | + | 1.56077i | 0.322014 | + | 0.946735i | \(0.395640\pi\) |
−0.789278 | + | 0.614036i | \(0.789545\pi\) | |||||||
\(500\) | −9.22635 | − | 9.77936i | −0.412615 | − | 0.437346i | ||||
\(501\) | 9.96045 | − | 2.29360i | 0.445000 | − | 0.102470i | ||||
\(502\) | −10.3641 | − | 13.9214i | −0.462574 | − | 0.621344i | ||||
\(503\) | 1.38230 | + | 7.83939i | 0.0616335 | + | 0.349541i | 0.999992 | + | 0.00387871i | \(0.00123464\pi\) |
−0.938359 | + | 0.345662i | \(0.887654\pi\) | |||||||
\(504\) | 0.259610 | − | 0.126256i | 0.0115639 | − | 0.00562387i | ||||
\(505\) | −1.17697 | + | 6.67494i | −0.0523746 | + | 0.297031i | ||||
\(506\) | 14.6913 | − | 7.37825i | 0.653108 | − | 0.328003i | ||||
\(507\) | 0.634030 | + | 2.16810i | 0.0281583 | + | 0.0962886i | ||||
\(508\) | −20.5878 | − | 2.40637i | −0.913436 | − | 0.106765i | ||||
\(509\) | 1.39427 | − | 0.917026i | 0.0617999 | − | 0.0406464i | −0.518233 | − | 0.855239i | \(-0.673410\pi\) |
0.580033 | + | 0.814593i | \(0.303040\pi\) | |||||||
\(510\) | −12.2721 | − | 72.2951i | −0.543419 | − | 3.20128i | ||||
\(511\) | 0.100357 | + | 0.335217i | 0.00443955 | + | 0.0148291i | ||||
\(512\) | 16.0816 | − | 27.8541i | 0.710711 | − | 1.23099i | ||||
\(513\) | 2.98941 | + | 2.60761i | 0.131986 | + | 0.115129i | ||||
\(514\) | −22.4119 | − | 38.8186i | −0.988548 | − | 1.71221i | ||||
\(515\) | 32.4034 | − | 34.3456i | 1.42787 | − | 1.51345i | ||||
\(516\) | 6.31537 | + | 0.0403252i | 0.278019 | + | 0.00177522i | ||||
\(517\) | 2.56147 | + | 43.9788i | 0.112653 | + | 1.93418i | ||||
\(518\) | −2.06513 | − | 4.78750i | −0.0907364 | − | 0.210351i | ||||
\(519\) | −12.9585 | − | 8.64199i | −0.568816 | − | 0.379341i | ||||
\(520\) | −0.0866515 | + | 1.48775i | −0.00379992 | + | 0.0652421i | ||||
\(521\) | 32.9725 | − | 12.0010i | 1.44455 | − | 0.525773i | 0.503486 | − | 0.864003i | \(-0.332050\pi\) |
0.941063 | + | 0.338230i | \(0.109828\pi\) | |||||||
\(522\) | −18.6287 | − | 20.2573i | −0.815354 | − | 0.886640i | ||||
\(523\) | 11.3086 | + | 4.11600i | 0.494491 | + | 0.179980i | 0.577214 | − | 0.816593i | \(-0.304140\pi\) |
−0.0827236 | + | 0.996573i | \(0.526362\pi\) | |||||||
\(524\) | 4.52106 | − | 10.4810i | 0.197503 | − | 0.457864i | ||||
\(525\) | 2.36516 | − | 1.53405i | 0.103224 | − | 0.0669512i | ||||
\(526\) | −10.3407 | + | 2.45078i | −0.450874 | + | 0.106859i | ||||
\(527\) | −60.3238 | + | 14.2970i | −2.62775 | + | 0.622788i | ||||
\(528\) | −1.28876 | − | 24.8609i | −0.0560862 | − | 1.08193i | ||||
\(529\) | −7.23796 | + | 16.7795i | −0.314694 | + | 0.729543i | ||||
\(530\) | −29.4226 | − | 10.7089i | −1.27803 | − | 0.465167i | ||||
\(531\) | −0.206060 | − | 4.53491i | −0.00894224 | − | 0.196799i | ||||
\(532\) | 0.911231 | − | 0.331661i | 0.0395069 | − | 0.0143793i | ||||
\(533\) | −1.79801 | + | 30.8707i | −0.0778807 | + | 1.33716i | ||||
\(534\) | −1.03912 | + | 16.0723i | −0.0449671 | + | 0.695519i | ||||
\(535\) | 0.881633 | + | 2.04385i | 0.0381163 | + | 0.0883635i | ||||
\(536\) | −0.0700415 | − | 1.20257i | −0.00302533 | − | 0.0519429i | ||||
\(537\) | −1.12857 | + | 1.92622i | −0.0487012 | + | 0.0831227i | ||||
\(538\) | 8.63136 | − | 9.14870i | 0.372124 | − | 0.394429i | ||||
\(539\) | −12.4073 | − | 21.4900i | −0.534420 | − | 0.925642i | ||||
\(540\) | 2.30908 | − | 29.7993i | 0.0993670 | − | 1.28236i | ||||
\(541\) | −9.81306 | + | 16.9967i | −0.421896 | + | 0.730746i | −0.996125 | − | 0.0879490i | \(-0.971969\pi\) |
0.574229 | + | 0.818695i | \(0.305302\pi\) | |||||||
\(542\) | 4.23876 | + | 14.1585i | 0.182071 | + | 0.608158i | ||||
\(543\) | 4.95765 | − | 4.10631i | 0.212753 | − | 0.176219i | ||||
\(544\) | 51.0350 | − | 33.5662i | 2.18811 | − | 1.43914i | ||||
\(545\) | −11.6100 | − | 1.35701i | −0.497318 | − | 0.0581281i | ||||
\(546\) | 7.10398 | + | 1.73166i | 0.304022 | + | 0.0741080i | ||||
\(547\) | 7.79596 | − | 3.91528i | 0.333331 | − | 0.167405i | −0.274259 | − | 0.961656i | \(-0.588433\pi\) |
0.607590 | + | 0.794251i | \(0.292136\pi\) | |||||||
\(548\) | −5.49569 | + | 31.1676i | −0.234764 | + | 1.33141i | ||||
\(549\) | 5.32327 | + | 7.34436i | 0.227191 | + | 0.313450i | ||||
\(550\) | 3.49651 | + | 19.8297i | 0.149092 | + | 0.845540i | ||||
\(551\) | −2.07097 | − | 2.78180i | −0.0882264 | − | 0.118509i | ||||
\(552\) | 0.404006 | + | 0.433736i | 0.0171956 | + | 0.0184610i | ||||
\(553\) | 3.86560 | + | 4.09729i | 0.164382 | + | 0.174235i | ||||
\(554\) | −10.7907 | + | 36.0435i | −0.458453 | + | 1.53134i | ||||
\(555\) | −20.0990 | − | 2.47942i | −0.853155 | − | 0.105246i | ||||
\(556\) | −33.0560 | + | 3.86370i | −1.40189 | + | 0.163857i | ||||
\(557\) | 15.1698 | − | 12.7290i | 0.642765 | − | 0.539344i | −0.262101 | − | 0.965041i | \(-0.584415\pi\) |
0.904866 | + | 0.425696i | \(0.139971\pi\) | |||||||
\(558\) | −49.5857 | − | 0.633259i | −2.09913 | − | 0.0268080i | ||||
\(559\) | 4.59706 | + | 3.85739i | 0.194435 | + | 0.163150i | ||||
\(560\) | 5.42593 | + | 3.56869i | 0.229287 | + | 0.150805i | ||||
\(561\) | 19.7449 | − | 44.9820i | 0.833632 | − | 1.89914i | ||||
\(562\) | 1.23236 | − | 1.65534i | 0.0519839 | − | 0.0698264i | ||||
\(563\) | 30.3446 | + | 15.2396i | 1.27887 | + | 0.642274i | 0.952952 | − | 0.303122i | \(-0.0980291\pi\) |
0.325922 | + | 0.945397i | \(0.394325\pi\) | |||||||
\(564\) | −39.8774 | + | 14.2265i | −1.67914 | + | 0.599044i | ||||
\(565\) | 33.2467 | + | 7.87962i | 1.39870 | + | 0.331498i | ||||
\(566\) | 22.1392 | 0.930581 | ||||||||
\(567\) | −5.31906 | − | 1.40503i | −0.223379 | − | 0.0590056i | ||||
\(568\) | 1.06828 | 0.0448240 | ||||||||
\(569\) | −18.7206 | − | 4.43686i | −0.784807 | − | 0.186003i | −0.181372 | − | 0.983415i | \(-0.558054\pi\) |
−0.603435 | + | 0.797412i | \(0.706202\pi\) | |||||||
\(570\) | 1.32999 | − | 7.27097i | 0.0557072 | − | 0.304547i | ||||
\(571\) | −2.22239 | − | 1.11613i | −0.0930042 | − | 0.0467085i | 0.401689 | − | 0.915776i | \(-0.368423\pi\) |
−0.494693 | + | 0.869068i | \(0.664720\pi\) | |||||||
\(572\) | −15.8918 | + | 21.3464i | −0.664471 | + | 0.892539i | ||||
\(573\) | −12.5504 | + | 1.38576i | −0.524302 | + | 0.0578911i | ||||
\(574\) | −9.32538 | − | 6.13340i | −0.389234 | − | 0.256003i | ||||
\(575\) | 4.43416 | + | 3.72070i | 0.184917 | + | 0.155164i | ||||
\(576\) | 24.3859 | − | 8.52470i | 1.01608 | − | 0.355196i | ||||
\(577\) | 19.5278 | − | 16.3857i | 0.812951 | − | 0.682147i | −0.138359 | − | 0.990382i | \(-0.544183\pi\) |
0.951310 | + | 0.308235i | \(0.0997383\pi\) | |||||||
\(578\) | 80.9528 | − | 9.46203i | 3.36719 | − | 0.393568i | ||||
\(579\) | −10.0426 | + | 13.3113i | −0.417358 | + | 0.553200i | ||||
\(580\) | −7.49420 | + | 25.0324i | −0.311180 | + | 1.03941i | ||||
\(581\) | −2.59595 | − | 2.75155i | −0.107698 | − | 0.114153i | ||||
\(582\) | −10.7748 | + | 35.1713i | −0.446629 | + | 1.45790i | ||||
\(583\) | −12.5259 | − | 16.8252i | −0.518768 | − | 0.696827i | ||||
\(584\) | −0.0156480 | − | 0.0887440i | −0.000647517 | − | 0.00367225i | ||||
\(585\) | 19.7518 | − | 20.4072i | 0.816636 | − | 0.843733i | ||||
\(586\) | −8.51396 | + | 48.2851i | −0.351709 | + | 1.99464i | ||||
\(587\) | 0.800141 | − | 0.401846i | 0.0330254 | − | 0.0165860i | −0.432210 | − | 0.901773i | \(-0.642266\pi\) |
0.465235 | + | 0.885187i | \(0.345970\pi\) | |||||||
\(588\) | 16.4766 | − | 17.2423i | 0.679484 | − | 0.711060i | ||||
\(589\) | −6.20685 | − | 0.725476i | −0.255749 | − | 0.0298927i | ||||
\(590\) | −7.06717 | + | 4.64815i | −0.290951 | + | 0.191361i | ||||
\(591\) | 8.01611 | + | 2.97572i | 0.329739 | + | 0.122405i | ||||
\(592\) | −4.64938 | − | 15.5300i | −0.191088 | − | 0.638280i | ||||
\(593\) | −16.2145 | + | 28.0843i | −0.665848 | + | 1.15328i | 0.313207 | + | 0.949685i | \(0.398597\pi\) |
−0.979055 | + | 0.203597i | \(0.934737\pi\) | |||||||
\(594\) | 24.0647 | − | 31.0641i | 0.987387 | − | 1.27458i | ||||
\(595\) | 6.40773 | + | 11.0985i | 0.262691 | + | 0.454994i | ||||
\(596\) | −12.6062 | + | 13.3618i | −0.516369 | + | 0.547319i | ||||
\(597\) | −2.15591 | − | 3.78982i | −0.0882353 | − | 0.155107i | ||||
\(598\) | 0.872961 | + | 14.9882i | 0.0356980 | + | 0.612911i | ||||
\(599\) | −16.6725 | − | 38.6512i | −0.681221 | − | 1.57925i | −0.809242 | − | 0.587476i | \(-0.800122\pi\) |
0.128021 | − | 0.991771i | \(-0.459137\pi\) | |||||||
\(600\) | −0.650837 | + | 0.321675i | −0.0265703 | + | 0.0131323i | ||||
\(601\) | 1.79898 | − | 30.8872i | 0.0733818 | − | 1.25992i | −0.737758 | − | 0.675065i | \(-0.764116\pi\) |
0.811140 | − | 0.584852i | \(-0.198847\pi\) | |||||||
\(602\) | −2.03543 | + | 0.740836i | −0.0829580 | + | 0.0301942i | ||||
\(603\) | −13.9427 | + | 18.2373i | −0.567789 | + | 0.742682i | ||||
\(604\) | −1.92891 | − | 0.702064i | −0.0784861 | − | 0.0285666i | ||||
\(605\) | −3.31532 | + | 7.68578i | −0.134787 | + | 0.312472i | ||||
\(606\) | −7.62859 | − | 3.89241i | −0.309890 | − | 0.158119i | ||||
\(607\) | −14.5707 | + | 3.45331i | −0.591406 | + | 0.140166i | −0.515412 | − | 0.856943i | \(-0.672361\pi\) |
−0.0759938 | + | 0.997108i | \(0.524213\pi\) | |||||||
\(608\) | 5.99131 | − | 1.41997i | 0.242980 | − | 0.0575873i | ||||
\(609\) | 4.28421 | + | 2.18598i | 0.173605 | + | 0.0885802i | ||||
\(610\) | 6.69437 | − | 15.5193i | 0.271047 | − | 0.628358i | ||||
\(611\) | −37.8048 | − | 13.7598i | −1.52942 | − | 0.556663i | ||||
\(612\) | 46.8202 | + | 6.07951i | 1.89259 | + | 0.245750i | ||||
\(613\) | 17.2467 | − | 6.27730i | 0.696589 | − | 0.253538i | 0.0306353 | − | 0.999531i | \(-0.490247\pi\) |
0.665954 | + | 0.745993i | \(0.268025\pi\) | |||||||
\(614\) | −2.91548 | + | 50.0568i | −0.117659 | + | 2.02013i | ||||
\(615\) | −38.8648 | + | 19.2089i | −1.56718 | + | 0.774577i | ||||
\(616\) | −0.142730 | − | 0.330885i | −0.00575075 | − | 0.0133317i | ||||
\(617\) | 1.90572 | + | 32.7199i | 0.0767212 | + | 1.31725i | 0.788581 | + | 0.614931i | \(0.210816\pi\) |
−0.711860 | + | 0.702322i | \(0.752147\pi\) | |||||||
\(618\) | 29.5011 | + | 51.8593i | 1.18671 | + | 2.08609i | ||||
\(619\) | 4.11905 | − | 4.36594i | 0.165559 | − | 0.175482i | −0.639283 | − | 0.768972i | \(-0.720769\pi\) |
0.804842 | + | 0.593490i | \(0.202250\pi\) | |||||||
\(620\) | 23.5420 | + | 40.7760i | 0.945471 | + | 1.63760i | ||||
\(621\) | −0.440687 | − | 11.2875i | −0.0176842 | − | 0.452952i | ||||
\(622\) | 1.86865 | − | 3.23661i | 0.0749262 | − | 0.129776i | ||||
\(623\) | −0.807283 | − | 2.69651i | −0.0323431 | − | 0.108033i | ||||
\(624\) | 21.3132 | + | 7.91186i | 0.853212 | + | 0.316728i | ||||
\(625\) | 26.0869 | − | 17.1576i | 1.04348 | − | 0.686305i | ||||
\(626\) | −13.9430 | − | 1.62970i | −0.557273 | − | 0.0651359i | ||||
\(627\) | 3.42105 | − | 3.58003i | 0.136624 | − | 0.142973i | ||||
\(628\) | 33.7934 | − | 16.9717i | 1.34850 | − | 0.677243i | ||||
\(629\) | 5.55497 | − | 31.5038i | 0.221491 | − | 1.25614i | ||||
\(630\) | 2.81440 | + | 9.85717i | 0.112128 | + | 0.392719i | ||||
\(631\) | −4.24361 | − | 24.0667i | −0.168935 | − | 0.958080i | −0.944914 | − | 0.327320i | \(-0.893854\pi\) |
0.775978 | − | 0.630760i | \(-0.217257\pi\) | |||||||
\(632\) | −0.866267 | − | 1.16360i | −0.0344582 | − | 0.0462854i | ||||
\(633\) | −3.54521 | + | 11.5724i | −0.140910 | + | 0.459961i | ||||
\(634\) | 36.0823 | + | 38.2450i | 1.43301 | + | 1.51890i | ||||
\(635\) | 7.91942 | − | 26.4527i | 0.314273 | − | 1.04974i | ||||
\(636\) | 12.1415 | − | 16.0933i | 0.481441 | − | 0.638140i | ||||
\(637\) | 22.5083 | − | 2.63084i | 0.891811 | − | 0.104238i | ||||
\(638\) | −26.3163 | + | 22.0820i | −1.04187 | + | 0.874234i | ||||
\(639\) | −15.4271 | − | 13.2843i | −0.610287 | − | 0.525517i | ||||
\(640\) | −2.66848 | − | 2.23912i | −0.105481 | − | 0.0885089i | ||||
\(641\) | −8.61817 | − | 5.66826i | −0.340397 | − | 0.223883i | 0.367788 | − | 0.929910i | \(-0.380115\pi\) |
−0.708185 | + | 0.706027i | \(0.750486\pi\) | |||||||
\(642\) | −2.79555 | + | 0.308672i | −0.110331 | + | 0.0121823i | ||||
\(643\) | −25.8610 | + | 34.7374i | −1.01986 | + | 1.36991i | −0.0925089 | + | 0.995712i | \(0.529489\pi\) |
−0.927350 | + | 0.374196i | \(0.877919\pi\) | |||||||
\(644\) | −2.46763 | − | 1.23929i | −0.0972383 | − | 0.0488349i | ||||
\(645\) | −1.51381 | + | 8.27587i | −0.0596061 | + | 0.325862i | ||||
\(646\) | 11.3613 | + | 2.69268i | 0.447005 | + | 0.105942i | ||||
\(647\) | 6.50021 | 0.255550 | 0.127775 | − | 0.991803i | \(-0.459217\pi\) | ||||
0.127775 | + | 0.991803i | \(0.459217\pi\) | |||||||
\(648\) | 1.31853 | + | 0.518410i | 0.0517968 | + | 0.0203651i | ||||
\(649\) | −5.66668 | −0.222437 | ||||||||
\(650\) | −17.8928 | − | 4.24068i | −0.701815 | − | 0.166333i | ||||
\(651\) | 8.16269 | − | 2.91209i | 0.319921 | − | 0.114134i | ||||
\(652\) | 31.8405 | + | 15.9909i | 1.24697 | + | 0.626252i | ||||
\(653\) | 1.77780 | − | 2.38800i | 0.0695706 | − | 0.0934496i | −0.765976 | − | 0.642869i | \(-0.777744\pi\) |
0.835546 | + | 0.549420i | \(0.185151\pi\) | |||||||
\(654\) | 5.93645 | − | 13.5241i | 0.232134 | − | 0.528836i | ||||
\(655\) | 12.7043 | + | 8.35574i | 0.496397 | + | 0.326486i | ||||
\(656\) | −26.5844 | − | 22.3070i | −1.03795 | − | 0.870941i | ||||
\(657\) | −0.877575 | + | 1.47615i | −0.0342375 | + | 0.0575899i | ||||
\(658\) | 11.1240 | − | 9.33410i | 0.433657 | − | 0.363881i | ||||
\(659\) | 27.9198 | − | 3.26336i | 1.08760 | − | 0.127123i | 0.446654 | − | 0.894707i | \(-0.352615\pi\) |
0.640948 | + | 0.767584i | \(0.278541\pi\) | |||||||
\(660\) | −37.0287 | − | 4.56788i | −1.44134 | − | 0.177805i | ||||
\(661\) | 0.932296 | − | 3.11408i | 0.0362621 | − | 0.121124i | −0.937942 | − | 0.346791i | \(-0.887271\pi\) |
0.974204 | + | 0.225668i | \(0.0724563\pi\) | |||||||
\(662\) | −36.0798 | − | 38.2423i | −1.40228 | − | 1.48633i | ||||
\(663\) | 30.5775 | + | 32.8277i | 1.18753 | + | 1.27492i | ||||
\(664\) | 0.581743 | + | 0.781417i | 0.0225760 | + | 0.0303248i | ||||
\(665\) | 0.224319 | + | 1.27217i | 0.00869871 | + | 0.0493328i | ||||
\(666\) | 10.4343 | − | 23.3645i | 0.404323 | − | 0.905358i | ||||
\(667\) | −1.71488 | + | 9.72556i | −0.0664004 | + | 0.376575i | ||||
\(668\) | 10.9580 | − | 5.50333i | 0.423979 | − | 0.212930i | ||||
\(669\) | −30.2870 | − | 7.38271i | −1.17096 | − | 0.285432i | ||||
\(670\) | 42.4861 | + | 4.96591i | 1.64138 | + | 0.191850i | ||||
\(671\) | 9.45999 | − | 6.22193i | 0.365199 | − | 0.240195i | ||||
\(672\) | −6.57636 | + | 5.44705i | −0.253689 | + | 0.210124i | ||||
\(673\) | −3.98495 | − | 13.3107i | −0.153609 | − | 0.513088i | 0.846196 | − | 0.532872i | \(-0.178887\pi\) |
−0.999804 | + | 0.0197840i | \(0.993702\pi\) | |||||||
\(674\) | −15.1769 | + | 26.2871i | −0.584591 | + | 1.01254i | ||||
\(675\) | 13.3989 | + | 3.44794i | 0.515723 | + | 0.132711i | ||||
\(676\) | 1.35501 | + | 2.34695i | 0.0521158 | + | 0.0902672i | ||||
\(677\) | 7.45030 | − | 7.89686i | 0.286338 | − | 0.303501i | −0.568199 | − | 0.822891i | \(-0.692359\pi\) |
0.854537 | + | 0.519390i | \(0.173841\pi\) | |||||||
\(678\) | −21.8246 | + | 37.2501i | −0.838170 | + | 1.43058i | ||||
\(679\) | −0.373797 | − | 6.41784i | −0.0143450 | − | 0.246294i | ||||
\(680\) | −1.30719 | − | 3.03041i | −0.0501285 | − | 0.116211i | ||||
\(681\) | 0.0685588 | − | 1.06042i | 0.00262718 | − | 0.0406353i | ||||
\(682\) | −3.59927 | + | 61.7971i | −0.137823 | + | 2.36633i | ||||
\(683\) | −31.5858 | + | 11.4963i | −1.20860 | + | 0.439893i | −0.866217 | − | 0.499668i | \(-0.833455\pi\) |
−0.342380 | + | 0.939562i | \(0.611233\pi\) | |||||||
\(684\) | 4.22527 | + | 2.19002i | 0.161557 | + | 0.0837374i | ||||
\(685\) | −39.6178 | − | 14.4197i | −1.51372 | − | 0.550949i | ||||
\(686\) | −6.66226 | + | 15.4448i | −0.254366 | + | 0.589687i | ||||
\(687\) | 0.447908 | + | 8.64039i | 0.0170887 | + | 0.329651i | ||||
\(688\) | −6.55316 | + | 1.55313i | −0.249837 | + | 0.0592124i | ||||
\(689\) | 18.6395 | − | 4.41763i | 0.710107 | − | 0.168298i | ||||
\(690\) | −17.6591 | + | 11.4537i | −0.672271 | + | 0.436036i | ||||
\(691\) | −0.177311 | + | 0.411052i | −0.00674522 | + | 0.0156372i | −0.921555 | − | 0.388247i | \(-0.873081\pi\) |
0.914810 | + | 0.403884i | \(0.132340\pi\) | |||||||
\(692\) | −17.5595 | − | 6.39115i | −0.667513 | − | 0.242955i | ||||
\(693\) | −2.05345 | + | 6.55321i | −0.0780039 | + | 0.248936i | ||||
\(694\) | −48.2412 | + | 17.5584i | −1.83121 | + | 0.666507i | ||||
\(695\) | 2.57787 | − | 44.2604i | 0.0977843 | − | 1.67889i | ||||
\(696\) | −1.03048 | − | 0.687226i | −0.0390604 | − | 0.0260492i | ||||
\(697\) | −27.1242 | − | 62.8808i | −1.02740 | − | 2.38178i | ||||
\(698\) | −3.43628 | − | 58.9987i | −0.130065 | − | 2.23313i | ||||
\(699\) | 22.7890 | + | 0.145513i | 0.861958 | + | 0.00550381i | ||||
\(700\) | 2.32093 | − | 2.46004i | 0.0877228 | − | 0.0929807i | ||||
\(701\) | 1.94332 | + | 3.36593i | 0.0733982 | + | 0.127129i | 0.900389 | − | 0.435087i | \(-0.143282\pi\) |
−0.826990 | + | 0.562216i | \(0.809949\pi\) | |||||||
\(702\) | 17.3442 | + | 31.4157i | 0.654613 | + | 1.18571i | ||||
\(703\) | 1.61229 | − | 2.79256i | 0.0608086 | − | 0.105324i | ||||
\(704\) | −9.24849 | − | 30.8921i | −0.348566 | − | 1.16429i | ||||
\(705\) | −9.43925 | − | 55.6066i | −0.355503 | − | 2.09427i | ||||
\(706\) | 48.4080 | − | 31.8384i | 1.82186 | − | 1.19826i | ||||
\(707\) | 1.48662 | + | 0.173761i | 0.0559100 | + | 0.00653494i | ||||
\(708\) | −1.52864 | − | 5.22725i | −0.0574497 | − | 0.196452i | ||||
\(709\) | −13.1721 | + | 6.61529i | −0.494690 | + | 0.248442i | −0.678610 | − | 0.734499i | \(-0.737417\pi\) |
0.183921 | + | 0.982941i | \(0.441121\pi\) | |||||||
\(710\) | −6.58725 | + | 37.3581i | −0.247215 | + | 1.40203i | ||||
\(711\) | −1.95974 | + | 27.5758i | −0.0734959 | + | 1.03417i | ||||
\(712\) | 0.125874 | + | 0.713864i | 0.00471731 | + | 0.0267532i | ||||
\(713\) | 10.6264 | + | 14.2737i | 0.397962 | + | 0.534555i | ||||
\(714\) | −15.7800 | + | 3.63368i | −0.590552 | + | 0.135987i | ||||
\(715\) | −24.3284 | − | 25.7866i | −0.909832 | − | 0.964366i | ||||
\(716\) | −0.768154 | + | 2.56581i | −0.0287073 | + | 0.0958890i | ||||
\(717\) | −6.14911 | − | 14.5093i | −0.229643 | − | 0.541859i | ||||
\(718\) | −41.8320 | + | 4.88946i | −1.56116 | + | 0.182473i | ||||
\(719\) | 24.7821 | − | 20.7947i | 0.924218 | − | 0.775511i | −0.0505523 | − | 0.998721i | \(-0.516098\pi\) |
0.974770 | + | 0.223210i | \(0.0716537\pi\) | |||||||
\(720\) | 5.13333 | + | 31.4564i | 0.191308 | + | 1.17231i | ||||
\(721\) | −7.98762 | − | 6.70241i | −0.297474 | − | 0.249611i | ||||
\(722\) | −31.0731 | − | 20.4371i | −1.15642 | − | 0.760590i | ||||
\(723\) | −14.6123 | − | 19.8917i | −0.543438 | − | 0.739778i | ||||
\(724\) | 4.61185 | − | 6.19479i | 0.171398 | − | 0.230228i | ||||
\(725\) | −10.8090 | − | 5.42848i | −0.401436 | − | 0.201609i | ||||
\(726\) | −8.05839 | − | 6.84995i | −0.299075 | − | 0.254225i | ||||
\(727\) | −8.98140 | − | 2.12863i | −0.333102 | − | 0.0789465i | 0.0606617 | − | 0.998158i | \(-0.480679\pi\) |
−0.393763 | + | 0.919212i | \(0.628827\pi\) | |||||||
\(728\) | 0.329090 | 0.0121969 | ||||||||
\(729\) | −12.5945 | − | 23.8826i | −0.466463 | − | 0.884541i | ||||
\(730\) | 3.19990 | 0.118434 | ||||||||
\(731\) | −12.9315 | − | 3.06483i | −0.478291 | − | 0.113357i | ||||
\(732\) | 8.29136 | + | 7.04798i | 0.306458 | + | 0.260501i | ||||
\(733\) | −47.3569 | − | 23.7835i | −1.74917 | − | 0.878464i | −0.966756 | − | 0.255699i | \(-0.917694\pi\) |
−0.782409 | − | 0.622765i | \(-0.786009\pi\) | |||||||
\(734\) | 41.6840 | − | 55.9914i | 1.53859 | − | 2.06668i | ||||
\(735\) | 18.8089 | + | 25.6044i | 0.693776 | + | 0.944433i | ||||
\(736\) | −14.6490 | − | 9.63480i | −0.539969 | − | 0.355143i | ||||
\(737\) | 21.9518 | + | 18.4198i | 0.808606 | + | 0.678501i | ||||
\(738\) | −8.82250 | − | 54.0632i | −0.324761 | − | 1.99010i | ||||
\(739\) | 2.18316 | − | 1.83188i | 0.0803087 | − | 0.0673870i | −0.601750 | − | 0.798685i | \(-0.705529\pi\) |
0.682058 | + | 0.731298i | \(0.261085\pi\) | |||||||
\(740\) | −24.1314 | + | 2.82056i | −0.887088 | + | 0.103686i | ||||
\(741\) | 1.76458 | + | 4.16366i | 0.0648234 | + | 0.152956i | ||||
\(742\) | −1.98303 | + | 6.62377i | −0.0727992 | + | 0.243166i | ||||
\(743\) | 20.1842 | + | 21.3940i | 0.740485 | + | 0.784868i | 0.982670 | − | 0.185362i | \(-0.0593457\pi\) |
−0.242185 | + | 0.970230i | \(0.577864\pi\) | |||||||
\(744\) | −2.17496 | + | 0.500830i | −0.0797379 | + | 0.0183613i | ||||
\(745\) | −14.6133 | − | 19.6291i | −0.535390 | − | 0.719154i | ||||
\(746\) | 3.28553 | + | 18.6331i | 0.120292 | + | 0.682208i | ||||
\(747\) | 1.31607 | − | 18.5186i | 0.0481523 | − | 0.677560i | ||||
\(748\) | 10.2340 | − | 58.0400i | 0.374193 | − | 2.12215i | ||||
\(749\) | 0.439252 | − | 0.220601i | 0.0160499 | − | 0.00806057i | ||||
\(750\) | 6.35201 | + | 21.7210i | 0.231943 | + | 0.793140i | ||||
\(751\) | 27.2443 | + | 3.18440i | 0.994159 | + | 0.116200i | 0.597588 | − | 0.801804i | \(-0.296126\pi\) |
0.396571 | + | 0.918004i | \(0.370200\pi\) | |||||||
\(752\) | 37.7218 | − | 24.8100i | 1.37557 | − | 0.904728i | ||||
\(753\) | 2.49129 | + | 14.6762i | 0.0907878 | + | 0.534831i | ||||
\(754\) | −8.99781 | − | 30.0548i | −0.327681 | − | 1.09453i | ||||
\(755\) | 1.36725 | − | 2.36815i | 0.0497593 | − | 0.0861857i | ||||
\(756\) | −6.59898 | − | 0.126422i | −0.240002 | − | 0.00459792i | ||||
\(757\) | 14.2323 | + | 24.6511i | 0.517282 | + | 0.895959i | 0.999799 | + | 0.0200719i | \(0.00638952\pi\) |
−0.482516 | + | 0.875887i | \(0.660277\pi\) | |||||||
\(758\) | −2.67117 | + | 2.83128i | −0.0970213 | + | 0.102837i | ||||
\(759\) | −14.1004 | − | 0.0900345i | −0.511812 | − | 0.00326805i | ||||
\(760\) | −0.0193432 | − | 0.332110i | −0.000701652 | − | 0.0120469i | ||||
\(761\) | 11.0792 | + | 25.6846i | 0.401622 | + | 0.931064i | 0.992266 | + | 0.124132i | \(0.0396146\pi\) |
−0.590644 | + | 0.806932i | \(0.701126\pi\) | |||||||
\(762\) | 29.0272 | + | 19.3582i | 1.05155 | + | 0.701272i | ||||
\(763\) | −0.150086 | + | 2.57687i | −0.00543347 | + | 0.0932890i | ||||
\(764\) | −14.2348 | + | 5.18104i | −0.514997 | + | 0.187444i | ||||
\(765\) | −18.8065 | + | 60.0176i | −0.679949 | + | 2.16994i | ||||
\(766\) | 36.9883 | + | 13.4626i | 1.33644 | + | 0.486425i | ||||
\(767\) | 2.04972 | − | 4.75178i | 0.0740110 | − | 0.171577i | ||||
\(768\) | −21.3335 | + | 13.8369i | −0.769805 | + | 0.499297i | ||||
\(769\) | 45.6978 | − | 10.8306i | 1.64790 | − | 0.390561i | 0.701277 | − | 0.712889i | \(-0.252614\pi\) |
0.946628 | + | 0.322328i | \(0.104466\pi\) | |||||||
\(770\) | 12.4513 | − | 2.95101i | 0.448713 | − | 0.106347i | ||||
\(771\) | 1.99031 | + | 38.3942i | 0.0716794 | + | 1.38273i | ||||
\(772\) | −7.92349 | + | 18.3687i | −0.285173 | + | 0.661104i | ||||
\(773\) | 41.5507 | + | 15.1232i | 1.49447 | + | 0.543944i | 0.954623 | − | 0.297816i | \(-0.0962583\pi\) |
0.539851 | + | 0.841761i | \(0.318481\pi\) | |||||||
\(774\) | −9.43806 | − | 4.89188i | −0.339244 | − | 0.175835i | ||||
\(775\) | −20.4807 | + | 7.45437i | −0.735689 | + | 0.267769i | ||||
\(776\) | −0.0962627 | + | 1.65277i | −0.00345563 | + | 0.0593309i | ||||
\(777\) | −0.288525 | + | 4.46270i | −0.0103508 | + | 0.160098i | ||||
\(778\) | 7.31048 | + | 16.9476i | 0.262093 | + | 0.607601i | ||||
\(779\) | −0.401371 | − | 6.89127i | −0.0143806 | − | 0.246906i | ||||
\(780\) | 17.2242 | − | 29.3981i | 0.616725 | − | 1.05262i | ||||
\(781\) | −17.4395 | + | 18.4848i | −0.624034 | + | 0.661438i | ||||
\(782\) | −16.6244 | − | 28.7942i | −0.594486 | − | 1.02968i | ||||
\(783\) | 6.33552 | + | 22.7386i | 0.226413 | + | 0.812610i | ||||
\(784\) | −12.7160 | + | 22.0247i | −0.454143 | + | 0.786598i | ||||
\(785\) | 14.4481 | + | 48.2599i | 0.515673 | + | 1.72247i | ||||
\(786\) | −14.7968 | + | 12.2559i | −0.527786 | + | 0.437153i | ||||
\(787\) | −30.4809 | + | 20.0476i | −1.08653 | + | 0.714619i | −0.960743 | − | 0.277439i | \(-0.910514\pi\) |
−0.125782 | + | 0.992058i | \(0.540144\pi\) | |||||||
\(788\) | 10.1889 | + | 1.19091i | 0.362963 | + | 0.0424243i | ||||
\(789\) | 8.85566 | + | 2.15864i | 0.315270 | + | 0.0768497i | ||||
\(790\) | 46.0331 | − | 23.1187i | 1.63778 | − | 0.822526i | ||||
\(791\) | 1.31019 | − | 7.43049i | 0.0465852 | − | 0.264198i | ||||
\(792\) | 0.721163 | − | 1.61482i | 0.0256254 | − | 0.0573803i | ||||
\(793\) | 1.79557 | + | 10.1832i | 0.0637627 | + | 0.361616i | ||||
\(794\) | −40.2152 | − | 54.0183i | −1.42718 | − | 1.91704i | ||||
\(795\) | 18.3043 | + | 19.6513i | 0.649187 | + | 0.696960i | ||||
\(796\) | −3.58964 | − | 3.80479i | −0.127231 | − | 0.134857i | ||||
\(797\) | 4.33567 | − | 14.4822i | 0.153577 | − | 0.512984i | −0.846226 | − | 0.532825i | \(-0.821131\pi\) |
0.999803 | + | 0.0198402i | \(0.00631576\pi\) | |||||||
\(798\) | −1.61998 | − | 0.199841i | −0.0573465 | − | 0.00707430i | ||||
\(799\) | 88.4924 | − | 10.3433i | 3.13063 | − | 0.365919i | ||||
\(800\) | 16.4507 | − | 13.8038i | 0.581621 | − | 0.488038i | ||||
\(801\) | 7.05929 | − | 11.8742i | 0.249428 | − | 0.419556i | ||||
\(802\) | 5.48967 | + | 4.60638i | 0.193847 | + | 0.162657i | ||||
\(803\) | 1.79102 | + | 1.17797i | 0.0632036 | + | 0.0415697i | ||||
\(804\) | −11.0697 | + | 25.2184i | −0.390398 | + | 0.889386i | ||||
\(805\) | 2.19666 | − | 2.95063i | 0.0774223 | − | 0.103996i | ||||
\(806\) | −50.5179 | − | 25.3710i | −1.77942 | − | 0.893656i | ||||
\(807\) | −10.1608 | + | 3.62491i | −0.357676 | + | 0.127603i | ||||
\(808\) | −0.375060 | − | 0.0888909i | −0.0131946 | − | 0.00312717i | ||||
\(809\) | −49.6978 | −1.74728 | −0.873641 | − | 0.486571i | \(-0.838247\pi\) | ||||
−0.873641 | + | 0.486571i | \(0.838247\pi\) | |||||||
\(810\) | −26.2594 | + | 42.9129i | −0.922660 | + | 1.50781i | ||||
\(811\) | −8.76133 | −0.307652 | −0.153826 | − | 0.988098i | \(-0.549159\pi\) | ||||
−0.153826 | + | 0.988098i | \(0.549159\pi\) | |||||||
\(812\) | 5.61466 | + | 1.33070i | 0.197036 | + | 0.0466984i | ||||
\(813\) | 2.28089 | − | 12.4695i | 0.0799944 | − | 0.437323i | ||||
\(814\) | −28.5442 | − | 14.3354i | −1.00047 | − | 0.502456i | ||||
\(815\) | −28.3442 | + | 38.0728i | −0.992853 | + | 1.33363i | ||||
\(816\) | −50.0429 | + | 5.52552i | −1.75185 | + | 0.193432i | ||||
\(817\) | −1.11923 | − | 0.736129i | −0.0391569 | − | 0.0257539i | ||||
\(818\) | 49.5562 | + | 41.5826i | 1.73269 | + | 1.45390i | ||||
\(819\) | −4.75242 | − | 4.09230i | −0.166063 | − | 0.142996i | ||||
\(820\) | −39.8424 | + | 33.4317i | −1.39136 | + | 1.16749i | ||||
\(821\) | 35.2243 | − | 4.11713i | 1.22934 | − | 0.143689i | 0.523476 | − | 0.852040i | \(-0.324635\pi\) |
0.705860 | + | 0.708351i | \(0.250561\pi\) | |||||||
\(822\) | 32.0839 | − | 42.5266i | 1.11906 | − | 1.48329i | ||||
\(823\) | 0.538945 | − | 1.80020i | 0.0187864 | − | 0.0627511i | −0.948082 | − | 0.318025i | \(-0.896980\pi\) |
0.966869 | + | 0.255274i | \(0.0821656\pi\) | |||||||
\(824\) | 1.84273 | + | 1.95318i | 0.0641947 | + | 0.0680424i | ||||
\(825\) | 5.05876 | − | 16.5129i | 0.176123 | − | 0.574907i | ||||
\(826\) | 1.11544 | + | 1.49829i | 0.0388110 | + | 0.0521322i | ||||
\(827\) | 1.66995 | + | 9.47075i | 0.0580698 | + | 0.329330i | 0.999979 | − | 0.00653851i | \(-0.00208129\pi\) |
−0.941909 | + | 0.335869i | \(0.890970\pi\) | |||||||
\(828\) | −3.72066 | − | 13.0313i | −0.129302 | − | 0.452868i | ||||
\(829\) | −1.31856 | + | 7.47791i | −0.0457954 | + | 0.259719i | −0.999106 | − | 0.0422726i | \(-0.986540\pi\) |
0.953311 | + | 0.301991i | \(0.0976513\pi\) | |||||||
\(830\) | −30.9136 | + | 15.5254i | −1.07303 | + | 0.538894i | ||||
\(831\) | 22.2948 | − | 23.3308i | 0.773397 | − | 0.809337i | ||||
\(832\) | 29.2498 | + | 3.41881i | 1.01405 | + | 0.118526i | ||||
\(833\) | −41.9296 | + | 27.5775i | −1.45277 | + | 0.955505i | ||||
\(834\) | 52.5182 | + | 19.4957i | 1.81856 | + | 0.675081i | ||||
\(835\) | 4.68501 | + | 15.6490i | 0.162131 | + | 0.541557i | ||||
\(836\) | 2.97035 | − | 5.14479i | 0.102732 | − | 0.177936i | ||||
\(837\) | 37.6367 | + | 19.8135i | 1.30092 | + | 0.684856i | ||||
\(838\) | −14.9786 | − | 25.9438i | −0.517429 | − | 0.896213i | ||||
\(839\) | 27.1907 | − | 28.8204i | 0.938727 | − | 0.994992i | −0.0612684 | − | 0.998121i | \(-0.519515\pi\) |
0.999995 | + | 0.00312917i | \(0.000996046\pi\) | |||||||
\(840\) | 0.228129 | + | 0.401022i | 0.00787119 | + | 0.0138366i | ||||
\(841\) | 0.486303 | + | 8.34951i | 0.0167691 | + | 0.287914i | ||||
\(842\) | 12.4613 | + | 28.8886i | 0.429445 | + | 0.995566i | ||||
\(843\) | −1.58682 | + | 0.784283i | −0.0546529 | + | 0.0270121i | ||||
\(844\) | −0.844283 | + | 14.4958i | −0.0290614 | + | 0.498965i | ||||
\(845\) | −3.39243 | + | 1.23475i | −0.116703 | + | 0.0424765i | ||||
\(846\) | 70.6736 | + | 9.17683i | 2.42981 | + | 0.315506i | ||||
\(847\) | 1.73692 | + | 0.632185i | 0.0596811 | + | 0.0217221i | ||||
\(848\) | −8.51479 | + | 19.7395i | −0.292399 | + | 0.677858i | ||||
\(849\) | −16.9144 | − | 8.63042i | −0.580502 | − | 0.296195i | ||||
\(850\) | 39.6251 | − | 9.39133i | 1.35913 | − | 0.322120i | ||||
\(851\) | −8.93479 | + | 2.11758i | −0.306281 | + | 0.0725898i | ||||
\(852\) | −21.7558 | − | 11.1007i | −0.745342 | − | 0.380304i | ||||
\(853\) | 1.36398 | − | 3.16206i | 0.0467018 | − | 0.108267i | −0.893268 | − | 0.449524i | \(-0.851594\pi\) |
0.939970 | + | 0.341257i | \(0.110853\pi\) | |||||||
\(854\) | −3.50722 | − | 1.27652i | −0.120015 | − | 0.0436817i | ||||
\(855\) | −3.85052 | + | 5.03657i | −0.131685 | + | 0.172247i | ||||
\(856\) | −0.118950 | + | 0.0432941i | −0.00406561 | + | 0.00147976i | ||||
\(857\) | 1.28770 | − | 22.1090i | 0.0439870 | − | 0.755228i | −0.902142 | − | 0.431439i | \(-0.858006\pi\) |
0.946129 | − | 0.323789i | \(-0.104957\pi\) | |||||||
\(858\) | 40.1579 | − | 19.8480i | 1.37097 | − | 0.677599i | ||||
\(859\) | 14.1094 | + | 32.7093i | 0.481407 | + | 1.11603i | 0.969910 | + | 0.243464i | \(0.0782838\pi\) |
−0.488503 | + | 0.872562i | \(0.662457\pi\) | |||||||
\(860\) | 0.586877 | + | 10.0763i | 0.0200123 | + | 0.343598i | ||||
\(861\) | 4.73366 | + | 8.32119i | 0.161323 | + | 0.283585i | ||||
\(862\) | 1.79796 | − | 1.90573i | 0.0612389 | − | 0.0649094i | ||||
\(863\) | 10.4873 | + | 18.1645i | 0.356992 | + | 0.618328i | 0.987457 | − | 0.157890i | \(-0.0504691\pi\) |
−0.630465 | + | 0.776218i | \(0.717136\pi\) | |||||||
\(864\) | −41.5244 | − | 5.66170i | −1.41269 | − | 0.192615i | ||||
\(865\) | 12.4466 | − | 21.5581i | 0.423196 | − | 0.732998i | ||||
\(866\) | 10.1529 | + | 33.9130i | 0.345009 | + | 1.15241i | ||||
\(867\) | −65.5367 | − | 24.3284i | −2.22574 | − | 0.826236i | ||||
\(868\) | 8.68688 | − | 5.71345i | 0.294852 | − | 0.193927i | ||||
\(869\) | 34.2758 | + | 4.00627i | 1.16273 | + | 0.135903i | ||||
\(870\) | 30.3868 | − | 31.7989i | 1.03021 | − | 1.07808i | ||||
\(871\) | −23.3861 | + | 11.7449i | −0.792408 | + | 0.397962i | ||||
\(872\) | 0.115431 | − | 0.654639i | 0.00390897 | − | 0.0221689i | ||||
\(873\) | 21.9426 | − | 22.6707i | 0.742645 | − | 0.767287i | ||||
\(874\) | −0.581978 | − | 3.30056i | −0.0196857 | − | 0.111643i | ||||
\(875\) | −2.36181 | − | 3.17246i | −0.0798438 | − | 0.107249i | ||||
\(876\) | −0.603481 | + | 1.96990i | −0.0203897 | + | 0.0665568i | ||||
\(877\) | −28.9686 | − | 30.7050i | −0.978202 | − | 1.03683i | −0.999313 | − | 0.0370560i | \(-0.988202\pi\) |
0.0211115 | − | 0.999777i | \(-0.493279\pi\) | |||||||
\(878\) | 12.5785 | − | 42.0152i | 0.424504 | − | 1.41794i | ||||
\(879\) | 25.3274 | − | 33.5710i | 0.854272 | − | 1.13232i | ||||
\(880\) | 39.5168 | − | 4.61885i | 1.33211 | − | 0.155702i | ||||
\(881\) | −29.2913 | + | 24.5783i | −0.986848 | + | 0.828064i | −0.985108 | − | 0.171935i | \(-0.944998\pi\) |
−0.00173943 | + | 0.999998i | \(0.500554\pi\) | |||||||
\(882\) | −37.8949 | + | 13.2471i | −1.27599 | + | 0.446052i | ||||
\(883\) | −22.0694 | − | 18.5184i | −0.742693 | − | 0.623194i | 0.190866 | − | 0.981616i | \(-0.438870\pi\) |
−0.933560 | + | 0.358422i | \(0.883315\pi\) | |||||||
\(884\) | 44.9674 | + | 29.5756i | 1.51242 | + | 0.994733i | ||||
\(885\) | 7.21130 | − | 0.796240i | 0.242405 | − | 0.0267653i | ||||
\(886\) | −11.0263 | + | 14.8109i | −0.370437 | + | 0.497583i | ||||
\(887\) | −12.2591 | − | 6.15675i | −0.411620 | − | 0.206724i | 0.230924 | − | 0.972972i | \(-0.425825\pi\) |
−0.642545 | + | 0.766248i | \(0.722121\pi\) | |||||||
\(888\) | 0.207222 | − | 1.13287i | 0.00695392 | − | 0.0380165i | ||||
\(889\) | −5.93324 | − | 1.40620i | −0.198994 | − | 0.0471625i | ||||
\(890\) | −25.7403 | −0.862816 | ||||||||
\(891\) | −30.4950 | + | 14.3520i | −1.02162 | + | 0.480811i | ||||
\(892\) | −37.3995 | −1.25223 | ||||||||
\(893\) | 8.73870 | + | 2.07111i | 0.292429 | + | 0.0693070i | ||||
\(894\) | 29.1231 | − | 10.3898i | 0.974021 | − | 0.347488i | ||||
\(895\) | −3.18843 | − | 1.60129i | −0.106577 | − | 0.0535251i | ||||
\(896\) | −0.459355 | + | 0.617021i | −0.0153460 | + | 0.0206132i | ||||
\(897\) | 5.17581 | − | 11.7913i | 0.172815 | − | 0.393700i | ||||
\(898\) | 20.9588 | + | 13.7848i | 0.699404 | + | 0.460005i | ||||
\(899\) | −28.4852 | − | 23.9019i | −0.950035 | − | 0.797174i | ||||
\(900\) | 16.5971 | + | 0.211962i | 0.553236 | + | 0.00706538i | ||||
\(901\) | −32.4972 | + | 27.2684i | −1.08264 | + | 0.908441i | ||||
\(902\) | −67.9164 | + | 7.93828i | −2.26137 | + | 0.264316i | ||||
\(903\) | 1.84387 | + | 0.227461i | 0.0613602 | + | 0.00756942i | ||||
\(904\) | −0.557278 | + | 1.86144i | −0.0185348 | + | 0.0619106i | ||||
\(905\) | 7.06018 | + | 7.48335i | 0.234688 | + | 0.248755i | ||||
\(906\) | 2.35500 | + | 2.52830i | 0.0782395 | + | 0.0839971i | ||||
\(907\) | 33.8810 | + | 45.5101i | 1.12500 | + | 1.51114i | 0.831789 | + | 0.555092i | \(0.187317\pi\) |
0.293212 | + | 0.956047i | \(0.405276\pi\) | |||||||
\(908\) | −0.221375 | − | 1.25548i | −0.00734659 | − | 0.0416646i | ||||
\(909\) | 4.31090 | + | 5.94763i | 0.142984 | + | 0.197270i | ||||
\(910\) | −2.02924 | + | 11.5084i | −0.0672687 | + | 0.381500i | ||||
\(911\) | −0.637799 | + | 0.320315i | −0.0211312 | + | 0.0106125i | −0.459333 | − | 0.888264i | \(-0.651912\pi\) |
0.438202 | + | 0.898876i | \(0.355615\pi\) | |||||||
\(912\) | −4.93062 | − | 1.20188i | −0.163269 | − | 0.0397983i | ||||
\(913\) | −23.0180 | − | 2.69042i | −0.761784 | − | 0.0890398i | ||||
\(914\) | −31.5416 | + | 20.7453i | −1.04330 | + | 0.686192i | ||||
\(915\) | −11.1643 | + | 9.24715i | −0.369081 | + | 0.305701i | ||||
\(916\) | 2.97698 | + | 9.94380i | 0.0983621 | + | 0.328552i | ||||
\(917\) | 1.67892 | − | 2.90797i | 0.0554428 | − | 0.0960297i | ||||
\(918\) | −65.5486 | − | 44.9339i | −2.16343 | − | 1.48304i | ||||
\(919\) | 28.6606 | + | 49.6416i | 0.945425 | + | 1.63752i | 0.754898 | + | 0.655842i | \(0.227686\pi\) |
0.190527 | + | 0.981682i | \(0.438980\pi\) | |||||||
\(920\) | −0.650090 | + | 0.689055i | −0.0214328 | + | 0.0227175i | ||||
\(921\) | 21.7408 | − | 37.1070i | 0.716385 | − | 1.22272i | ||||
\(922\) | 4.82373 | + | 82.8202i | 0.158861 | + | 2.72754i | ||||
\(923\) | −9.19225 | − | 21.3100i | −0.302567 | − | 0.701428i | ||||
\(924\) | −0.531555 | + | 8.22171i | −0.0174869 | + | 0.270474i | ||||
\(925\) | 0.653921 | − | 11.2274i | 0.0215008 | − | 0.369155i | ||||
\(926\) | −7.83677 | + | 2.85235i | −0.257532 | + | 0.0937341i | ||||
\(927\) | −2.32286 | − | 51.1209i | −0.0762927 | − | 1.67903i | ||||
\(928\) | 34.4289 | + | 12.5311i | 1.13018 | + | 0.411353i | ||||
\(929\) | 5.92659 | − | 13.7394i | 0.194445 | − | 0.450775i | −0.792902 | − | 0.609349i | \(-0.791431\pi\) |
0.987347 | + | 0.158575i | \(0.0506899\pi\) | |||||||
\(930\) | −4.10291 | − | 79.1475i | −0.134540 | − | 2.59535i | ||||
\(931\) | −4.92238 | + | 1.16662i | −0.161324 | + | 0.0382346i | ||||
\(932\) | 26.6037 | − | 6.30519i | 0.871432 | − | 0.206533i | ||||
\(933\) | −2.68937 | + | 1.74433i | −0.0880459 | + | 0.0571067i | ||||
\(934\) | 20.2172 | − | 46.8687i | 0.661526 | − | 1.53359i | ||||
\(935\) | 73.7759 | + | 26.8522i | 2.41273 | + | 0.878162i | ||||
\(936\) | 1.09325 | + | 1.18883i | 0.0357340 | + | 0.0388582i | ||||
\(937\) | 23.1819 | − | 8.43751i | 0.757319 | − | 0.275641i | 0.0656366 | − | 0.997844i | \(-0.479092\pi\) |
0.691682 | + | 0.722202i | \(0.256870\pi\) | |||||||
\(938\) | 0.549230 | − | 9.42991i | 0.0179330 | − | 0.307898i | ||||
\(939\) | 10.0172 | + | 6.68041i | 0.326898 | + | 0.218007i | ||||
\(940\) | −26.8011 | − | 62.1320i | −0.874156 | − | 2.02652i | ||||
\(941\) | 1.35247 | + | 23.2210i | 0.0440893 | + | 0.756984i | 0.945821 | + | 0.324688i | \(0.105259\pi\) |
−0.901732 | + | 0.432296i | \(0.857704\pi\) | |||||||
\(942\) | −63.6516 | − | 0.406431i | −2.07388 | − | 0.0132422i | ||||
\(943\) | −13.4893 | + | 14.2979i | −0.439273 | + | 0.465603i | ||||
\(944\) | 2.90384 | + | 5.02959i | 0.0945119 | + | 0.163699i | ||||
\(945\) | 1.69236 | − | 8.62802i | 0.0550526 | − | 0.280670i | ||||
\(946\) | −6.63491 | + | 11.4920i | −0.215720 | + | 0.373637i | ||||
\(947\) | 5.50014 | + | 18.3718i | 0.178731 | + | 0.597002i | 0.999663 | + | 0.0259757i | \(0.00826926\pi\) |
−0.820932 | + | 0.571026i | \(0.806546\pi\) | |||||||
\(948\) | 5.55061 | + | 32.6986i | 0.180275 | + | 1.06200i | ||||
\(949\) | −1.63562 | + | 1.07576i | −0.0530944 | + | 0.0349208i | ||||
\(950\) | 4.07711 | + | 0.476546i | 0.132279 | + | 0.0154612i | ||||
\(951\) | −12.6581 | − | 43.2850i | −0.410467 | − | 1.40361i | ||||
\(952\) | −0.651276 | + | 0.327083i | −0.0211080 | + | 0.0106008i | ||||
\(953\) | 5.37991 | − | 30.5110i | 0.174272 | − | 0.988348i | −0.764708 | − | 0.644377i | \(-0.777117\pi\) |
0.938980 | − | 0.343971i | \(-0.111772\pi\) | |||||||
\(954\) | −30.5160 | + | 14.8408i | −0.987992 | + | 0.480489i | ||||
\(955\) | −3.50420 | − | 19.8733i | −0.113393 | − | 0.643085i | ||||
\(956\) | −11.2896 | − | 15.1646i | −0.365133 | − | 0.490459i | ||||
\(957\) | 28.7138 | − | 6.61195i | 0.928185 | − | 0.213734i | ||||
\(958\) | −28.8274 | − | 30.5552i | −0.931370 | − | 0.987195i | ||||
\(959\) | −2.67017 | + | 8.91898i | −0.0862242 | + | 0.288009i | ||||
\(960\) | 16.1102 | + | 38.0132i | 0.519954 | + | 1.22687i | ||||
\(961\) | −35.7602 | + | 4.17977i | −1.15356 | + | 0.134831i | ||||
\(962\) | 22.3457 | − | 18.7503i | 0.720456 | − | 0.604534i | ||||
\(963\) | 2.25613 | + | 0.853947i | 0.0727028 | + | 0.0275181i | ||||
\(964\) | −22.6834 | − | 19.0336i | −0.730583 | − | 0.613032i | ||||
\(965\) | −22.2652 | − | 14.6441i | −0.716742 | − | 0.471409i | ||||
\(966\) | 2.75174 | + | 3.74592i | 0.0885357 | + | 0.120523i | ||||
\(967\) | 11.8582 | − | 15.9284i | 0.381335 | − | 0.512221i | −0.569470 | − | 0.822012i | \(-0.692852\pi\) |
0.950805 | + | 0.309791i | \(0.100259\pi\) | |||||||
\(968\) | −0.425377 | − | 0.213632i | −0.0136721 | − | 0.00686641i | ||||
\(969\) | −7.63040 | − | 6.48614i | −0.245124 | − | 0.208365i | ||||
\(970\) | −57.2044 | − | 13.5577i | −1.83672 | − | 0.435311i | ||||
\(971\) | −3.39436 | −0.108930 | −0.0544651 | − | 0.998516i | \(-0.517345\pi\) | ||||
−0.0544651 | + | 0.998516i | \(0.517345\pi\) | |||||||
\(972\) | −21.4654 | − | 24.2587i | −0.688503 | − | 0.778098i | ||||
\(973\) | −9.79039 | −0.313865 | ||||||||
\(974\) | 12.9699 | + | 3.07393i | 0.415583 | + | 0.0984950i | ||||
\(975\) | 12.0171 | + | 10.2150i | 0.384854 | + | 0.327141i | ||||
\(976\) | −10.3701 | − | 5.20806i | −0.331939 | − | 0.166706i | ||||
\(977\) | −31.9883 | + | 42.9678i | −1.02340 | + | 1.37466i | −0.0982031 | + | 0.995166i | \(0.531309\pi\) |
−0.925194 | + | 0.379495i | \(0.876098\pi\) | |||||||
\(978\) | −35.5064 | − | 48.3347i | −1.13537 | − | 1.54557i | ||||
\(979\) | −14.4071 | − | 9.47570i | −0.460453 | − | 0.302845i | ||||
\(980\) | 29.1980 | + | 24.5000i | 0.932694 | + | 0.782624i | ||||
\(981\) | −9.80751 | + | 8.01830i | −0.313130 | + | 0.256005i | ||||
\(982\) | 56.5336 | − | 47.4373i | 1.80406 | − | 1.51379i | ||||
\(983\) | −27.6347 | + | 3.23004i | −0.881411 | + | 0.103022i | −0.544745 | − | 0.838602i | \(-0.683374\pi\) |
−0.336666 | + | 0.941624i | \(0.609299\pi\) | |||||||
\(984\) | −0.962022 | − | 2.26996i | −0.0306682 | − | 0.0723638i | ||||
\(985\) | −3.91931 | + | 13.0914i | −0.124879 | + | 0.417126i | ||||
\(986\) | 47.6784 | + | 50.5361i | 1.51839 | + | 1.60940i | ||||
\(987\) | −12.1374 | + | 2.79488i | −0.386337 | + | 0.0889622i | ||||
\(988\) | 3.23973 | + | 4.35172i | 0.103070 | + | 0.138447i | ||||
\(989\) | 0.662412 | + | 3.75672i | 0.0210635 | + | 0.119457i | ||||
\(990\) | 52.0242 | + | 35.1767i | 1.65344 | + | 1.11799i | ||||
\(991\) | 2.53438 | − | 14.3732i | 0.0805071 | − | 0.456579i | −0.917729 | − | 0.397207i | \(-0.869979\pi\) |
0.998236 | − | 0.0593711i | \(-0.0189095\pi\) | |||||||
\(992\) | 58.9969 | − | 29.6294i | 1.87315 | − | 0.940733i | ||||
\(993\) | 12.6572 | + | 43.2820i | 0.401665 | + | 1.37351i | ||||
\(994\) | 8.32026 | + | 0.972499i | 0.263903 | + | 0.0308458i | ||||
\(995\) | 5.82193 | − | 3.82914i | 0.184567 | − | 0.121392i | ||||
\(996\) | −3.72752 | − | 21.9588i | −0.118111 | − | 0.695791i | ||||
\(997\) | 0.698934 | + | 2.33460i | 0.0221355 | + | 0.0739376i | 0.968344 | − | 0.249621i | \(-0.0803060\pi\) |
−0.946208 | + | 0.323558i | \(0.895121\pi\) | |||||||
\(998\) | 36.7468 | − | 63.6474i | 1.16320 | − | 2.01472i | ||||
\(999\) | −17.0799 | + | 13.7830i | −0.540386 | + | 0.436075i |
(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 | 81.2.g.a.16.2 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.208.7 | 144 | |||
9.2 | odd | 6 | 729.2.g.b.379.2 | 144 | |||
9.4 | even | 3 | 729.2.g.d.622.7 | 144 | |||
9.5 | odd | 6 | 729.2.g.a.622.2 | 144 | |||
9.7 | even | 3 | 729.2.g.c.379.7 | 144 | |||
81.5 | odd | 54 | 243.2.g.a.118.7 | 144 | |||
81.20 | odd | 54 | 6561.2.a.d.1.59 | 72 | |||
81.22 | even | 27 | 729.2.g.c.352.7 | 144 | |||
81.32 | odd | 54 | 729.2.g.a.109.2 | 144 | |||
81.49 | even | 27 | 729.2.g.d.109.7 | 144 | |||
81.59 | odd | 54 | 729.2.g.b.352.2 | 144 | |||
81.61 | even | 27 | 6561.2.a.c.1.14 | 72 | |||
81.76 | even | 27 | inner | 81.2.g.a.76.2 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.16.2 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.76.2 | yes | 144 | 81.76 | even | 27 | inner | |
243.2.g.a.118.7 | 144 | 81.5 | odd | 54 | |||
243.2.g.a.208.7 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.109.2 | 144 | 81.32 | odd | 54 | |||
729.2.g.a.622.2 | 144 | 9.5 | odd | 6 | |||
729.2.g.b.352.2 | 144 | 81.59 | odd | 54 | |||
729.2.g.b.379.2 | 144 | 9.2 | odd | 6 | |||
729.2.g.c.352.7 | 144 | 81.22 | even | 27 | |||
729.2.g.c.379.7 | 144 | 9.7 | even | 3 | |||
729.2.g.d.109.7 | 144 | 81.49 | even | 27 | |||
729.2.g.d.622.7 | 144 | 9.4 | even | 3 | |||
6561.2.a.c.1.14 | 72 | 81.61 | even | 27 | |||
6561.2.a.d.1.59 | 72 | 81.20 | odd | 54 |