Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(47,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([7, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bd (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 47.8 | ||
Character | \(\chi\) | \(=\) | 441.47 |
Dual form | 441.2.bd.a.122.8 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{5}{42}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.58104 | − | 1.70396i | −1.11797 | − | 1.20488i | −0.976632 | − | 0.214918i | \(-0.931051\pi\) |
−0.141333 | − | 0.989962i | \(-0.545139\pi\) | |||||||
\(3\) | 1.73188 | − | 0.0242085i | 0.999902 | − | 0.0139768i | ||||
\(4\) | −0.254319 | + | 3.39365i | −0.127159 | + | 1.69683i | ||||
\(5\) | −1.54809 | − | 1.94124i | −0.692327 | − | 0.868150i | 0.304098 | − | 0.952641i | \(-0.401645\pi\) |
−0.996424 | + | 0.0844907i | \(0.973074\pi\) | |||||||
\(6\) | −2.77943 | − | 2.91278i | −1.13470 | − | 1.18914i | ||||
\(7\) | 1.62028 | + | 2.09157i | 0.612410 | + | 0.790540i | ||||
\(8\) | 2.55004 | − | 2.03359i | 0.901575 | − | 0.718982i | ||||
\(9\) | 2.99883 | − | 0.0838526i | 0.999609 | − | 0.0279509i | ||||
\(10\) | −0.860202 | + | 5.70707i | −0.272020 | + | 1.80473i | ||||
\(11\) | 6.31951 | − | 1.44239i | 1.90541 | − | 0.434896i | 0.905460 | − | 0.424432i | \(-0.139526\pi\) |
0.999945 | − | 0.0104647i | \(-0.00333108\pi\) | |||||||
\(12\) | −0.358295 | + | 5.88356i | −0.103431 | + | 1.69844i | ||||
\(13\) | 0.268638 | + | 0.289522i | 0.0745067 | + | 0.0802991i | 0.769205 | − | 0.639002i | \(-0.220653\pi\) |
−0.694698 | + | 0.719301i | \(0.744462\pi\) | |||||||
\(14\) | 1.00222 | − | 6.06776i | 0.267853 | − | 1.62168i | ||||
\(15\) | −2.72810 | − | 3.32453i | −0.704393 | − | 0.858389i | ||||
\(16\) | −0.766553 | − | 0.115539i | −0.191638 | − | 0.0288848i | ||||
\(17\) | 0.246053 | + | 3.28335i | 0.0596766 | + | 0.796329i | 0.944103 | + | 0.329650i | \(0.106931\pi\) |
−0.884427 | + | 0.466679i | \(0.845450\pi\) | |||||||
\(18\) | −4.88415 | − | 4.97730i | −1.15121 | − | 1.17316i | ||||
\(19\) | −4.15483 | − | 2.39879i | −0.953183 | − | 0.550320i | −0.0591146 | − | 0.998251i | \(-0.518828\pi\) |
−0.894068 | + | 0.447931i | \(0.852161\pi\) | |||||||
\(20\) | 6.98161 | − | 4.75998i | 1.56114 | − | 1.06436i | ||||
\(21\) | 2.85677 | + | 3.58313i | 0.623399 | + | 0.781904i | ||||
\(22\) | −12.4492 | − | 8.48771i | −2.65418 | − | 1.80959i | ||||
\(23\) | −0.796671 | − | 1.65430i | −0.166117 | − | 0.344946i | 0.801248 | − | 0.598333i | \(-0.204170\pi\) |
−0.967365 | + | 0.253386i | \(0.918456\pi\) | |||||||
\(24\) | 4.36713 | − | 3.58367i | 0.891437 | − | 0.731513i | ||||
\(25\) | −0.259238 | + | 1.13580i | −0.0518476 | + | 0.227159i | ||||
\(26\) | 0.0686068 | − | 0.915494i | 0.0134549 | − | 0.179543i | ||||
\(27\) | 5.19158 | − | 0.217820i | 0.999121 | − | 0.0419195i | ||||
\(28\) | −7.51014 | + | 4.96675i | −1.41928 | + | 0.938628i | ||||
\(29\) | −3.60442 | − | 5.28672i | −0.669325 | − | 0.981719i | −0.999288 | − | 0.0377255i | \(-0.987989\pi\) |
0.329963 | − | 0.943994i | \(-0.392964\pi\) | |||||||
\(30\) | −1.35161 | + | 9.90479i | −0.246769 | + | 1.80836i | ||||
\(31\) | 6.63604 | + | 3.83132i | 1.19187 | + | 0.688126i | 0.958730 | − | 0.284318i | \(-0.0917671\pi\) |
0.233139 | + | 0.972444i | \(0.425100\pi\) | |||||||
\(32\) | −2.65960 | − | 3.90091i | −0.470154 | − | 0.689590i | ||||
\(33\) | 10.9097 | − | 2.65103i | 1.89914 | − | 0.461485i | ||||
\(34\) | 5.20567 | − | 5.61038i | 0.892765 | − | 0.962172i | ||||
\(35\) | 1.55191 | − | 6.38331i | 0.262320 | − | 1.07898i | ||||
\(36\) | −0.478092 | + | 10.1983i | −0.0796821 | + | 1.69972i | ||||
\(37\) | 4.18839 | − | 2.85560i | 0.688567 | − | 0.469457i | −0.167802 | − | 0.985821i | \(-0.553667\pi\) |
0.856369 | + | 0.516364i | \(0.172715\pi\) | |||||||
\(38\) | 2.48152 | + | 10.8722i | 0.402555 | + | 1.76371i | ||||
\(39\) | 0.472257 | + | 0.494915i | 0.0756217 | + | 0.0792499i | ||||
\(40\) | −7.89537 | − | 1.80207i | −1.24837 | − | 0.284932i | ||||
\(41\) | −0.945689 | + | 2.40958i | −0.147692 | + | 0.376313i | −0.985505 | − | 0.169644i | \(-0.945738\pi\) |
0.837814 | + | 0.545956i | \(0.183834\pi\) | |||||||
\(42\) | 1.58883 | − | 10.5329i | 0.245161 | − | 1.62526i | ||||
\(43\) | −3.17477 | − | 8.08918i | −0.484148 | − | 1.23359i | −0.939276 | − | 0.343162i | \(-0.888502\pi\) |
0.455129 | − | 0.890426i | \(-0.349593\pi\) | |||||||
\(44\) | 3.28779 | + | 21.8131i | 0.495653 | + | 3.28844i | ||||
\(45\) | −4.80523 | − | 5.69164i | −0.716322 | − | 0.848460i | ||||
\(46\) | −1.55929 | + | 3.97302i | −0.229906 | + | 0.585790i | ||||
\(47\) | −4.73276 | + | 4.39136i | −0.690344 | + | 0.640546i | −0.945222 | − | 0.326427i | \(-0.894155\pi\) |
0.254878 | + | 0.966973i | \(0.417965\pi\) | |||||||
\(48\) | −1.33038 | − | 0.181543i | −0.192023 | − | 0.0262035i | ||||
\(49\) | −1.74936 | + | 6.77789i | −0.249908 | + | 0.968270i | ||||
\(50\) | 2.34521 | − | 1.35401i | 0.331663 | − | 0.191486i | ||||
\(51\) | 0.505620 | + | 5.68042i | 0.0708009 | + | 0.795417i | ||||
\(52\) | −1.05086 | + | 0.838031i | −0.145728 | + | 0.116214i | ||||
\(53\) | −0.852581 | + | 1.25051i | −0.117111 | + | 0.171770i | −0.880318 | − | 0.474383i | \(-0.842671\pi\) |
0.763207 | + | 0.646154i | \(0.223623\pi\) | |||||||
\(54\) | −8.57927 | − | 8.50186i | −1.16749 | − | 1.15696i | ||||
\(55\) | −12.5832 | − | 10.0348i | −1.69672 | − | 1.35309i | ||||
\(56\) | 8.38518 | + | 2.03860i | 1.12052 | + | 0.272420i | ||||
\(57\) | −7.25374 | − | 4.05384i | −0.960781 | − | 0.536944i | ||||
\(58\) | −3.30960 | + | 14.5003i | −0.434572 | + | 1.90398i | ||||
\(59\) | −3.84504 | − | 9.79699i | −0.500581 | − | 1.27546i | −0.928396 | − | 0.371593i | \(-0.878812\pi\) |
0.427814 | − | 0.903867i | \(-0.359284\pi\) | |||||||
\(60\) | 11.9761 | − | 8.41274i | 1.54611 | − | 1.08608i | ||||
\(61\) | 1.99647 | − | 0.149615i | 0.255622 | − | 0.0191562i | 0.0536972 | − | 0.998557i | \(-0.482899\pi\) |
0.201925 | + | 0.979401i | \(0.435280\pi\) | |||||||
\(62\) | −3.96345 | − | 17.3650i | −0.503359 | − | 2.20536i | ||||
\(63\) | 5.03434 | + | 6.13640i | 0.634267 | + | 0.773114i | ||||
\(64\) | −2.78706 | + | 12.2109i | −0.348382 | + | 1.52636i | ||||
\(65\) | 0.146158 | − | 0.969697i | 0.0181287 | − | 0.120276i | ||||
\(66\) | −21.7660 | − | 14.3983i | −2.67921 | − | 1.77231i | ||||
\(67\) | −0.397642 | + | 0.688737i | −0.0485798 | + | 0.0841426i | −0.889293 | − | 0.457338i | \(-0.848803\pi\) |
0.840713 | + | 0.541481i | \(0.182136\pi\) | |||||||
\(68\) | −11.2051 | −1.35882 | ||||||||
\(69\) | −1.41979 | − | 2.84577i | −0.170922 | − | 0.342591i | ||||
\(70\) | −13.3305 | + | 7.44789i | −1.59330 | + | 0.890194i | ||||
\(71\) | 1.22407 | + | 2.54180i | 0.145270 | + | 0.301656i | 0.960889 | − | 0.276933i | \(-0.0893180\pi\) |
−0.815619 | + | 0.578589i | \(0.803604\pi\) | |||||||
\(72\) | 7.47660 | − | 6.31221i | 0.881126 | − | 0.743901i | ||||
\(73\) | 3.93163 | + | 12.7460i | 0.460162 | + | 1.49181i | 0.827363 | + | 0.561667i | \(0.189840\pi\) |
−0.367201 | + | 0.930142i | \(0.619684\pi\) | |||||||
\(74\) | −11.4878 | − | 2.62202i | −1.33543 | − | 0.304804i | ||||
\(75\) | −0.421473 | + | 1.97334i | −0.0486676 | + | 0.227862i | ||||
\(76\) | 9.19731 | − | 13.4900i | 1.05500 | − | 1.54741i | ||||
\(77\) | 13.2563 | + | 10.8806i | 1.51069 | + | 1.23996i | ||||
\(78\) | 0.0966561 | − | 1.58719i | 0.0109442 | − | 0.179714i | ||||
\(79\) | −5.83054 | − | 10.0988i | −0.655987 | − | 1.13620i | −0.981645 | − | 0.190715i | \(-0.938919\pi\) |
0.325659 | − | 0.945487i | \(-0.394414\pi\) | |||||||
\(80\) | 0.962402 | + | 1.66693i | 0.107600 | + | 0.186368i | ||||
\(81\) | 8.98594 | − | 0.502919i | 0.998437 | − | 0.0558799i | ||||
\(82\) | 5.60099 | − | 2.19823i | 0.618526 | − | 0.242754i | ||||
\(83\) | 6.36258 | + | 5.90362i | 0.698384 | + | 0.648006i | 0.947237 | − | 0.320535i | \(-0.103863\pi\) |
−0.248852 | + | 0.968541i | \(0.580053\pi\) | |||||||
\(84\) | −12.8864 | + | 8.78364i | −1.40603 | + | 0.958373i | ||||
\(85\) | 5.99287 | − | 5.56057i | 0.650018 | − | 0.603128i | ||||
\(86\) | −8.76418 | + | 18.1990i | −0.945065 | + | 1.96245i | ||||
\(87\) | −6.37042 | − | 9.06872i | −0.682981 | − | 0.972268i | ||||
\(88\) | 13.1818 | − | 16.5294i | 1.40518 | − | 1.76204i | ||||
\(89\) | 2.17014 | + | 2.01360i | 0.230035 | + | 0.213441i | 0.786766 | − | 0.617252i | \(-0.211754\pi\) |
−0.556731 | + | 0.830693i | \(0.687945\pi\) | |||||||
\(90\) | −2.10104 | + | 17.1866i | −0.221470 | + | 1.81163i | ||||
\(91\) | −0.170288 | + | 1.03098i | −0.0178511 | + | 0.108076i | ||||
\(92\) | 5.81674 | − | 2.28290i | 0.606437 | − | 0.238009i | ||||
\(93\) | 11.5856 | + | 6.47475i | 1.20137 | + | 0.671400i | ||||
\(94\) | 14.9654 | + | 1.12150i | 1.54356 | + | 0.115674i | ||||
\(95\) | 1.77541 | + | 11.7791i | 0.182153 | + | 1.20851i | ||||
\(96\) | −4.70054 | − | 6.69153i | −0.479747 | − | 0.682951i | ||||
\(97\) | 8.62846 | + | 4.98164i | 0.876087 | + | 0.505809i | 0.869366 | − | 0.494168i | \(-0.164527\pi\) |
0.00672098 | + | 0.999977i | \(0.497861\pi\) | |||||||
\(98\) | 14.3150 | − | 7.73529i | 1.44604 | − | 0.781382i | ||||
\(99\) | 18.8302 | − | 4.85538i | 1.89251 | − | 0.487984i | ||||
\(100\) | −3.78856 | − | 1.16862i | −0.378856 | − | 0.116862i | ||||
\(101\) | −4.08846 | − | 5.12676i | −0.406817 | − | 0.510132i | 0.535646 | − | 0.844442i | \(-0.320068\pi\) |
−0.942463 | + | 0.334310i | \(0.891497\pi\) | |||||||
\(102\) | 8.87979 | − | 9.84253i | 0.879230 | − | 0.974556i | ||||
\(103\) | −9.16003 | + | 7.30488i | −0.902564 | + | 0.719771i | −0.960421 | − | 0.278554i | \(-0.910145\pi\) |
0.0578562 | + | 0.998325i | \(0.481574\pi\) | |||||||
\(104\) | 1.27381 | + | 0.191995i | 0.124907 | + | 0.0188267i | ||||
\(105\) | 2.53319 | − | 11.0927i | 0.247214 | − | 1.08254i | ||||
\(106\) | 3.47878 | − | 0.524341i | 0.337889 | − | 0.0509285i | ||||
\(107\) | −0.851993 | + | 0.918230i | −0.0823653 | + | 0.0887687i | −0.772890 | − | 0.634541i | \(-0.781189\pi\) |
0.690524 | + | 0.723309i | \(0.257380\pi\) | |||||||
\(108\) | −0.581114 | + | 17.6738i | −0.0559177 | + | 1.70066i | ||||
\(109\) | −7.52127 | + | 6.97871i | −0.720407 | + | 0.668440i | −0.952598 | − | 0.304230i | \(-0.901601\pi\) |
0.232192 | + | 0.972670i | \(0.425410\pi\) | |||||||
\(110\) | 2.79575 | + | 37.3066i | 0.266564 | + | 3.55705i | ||||
\(111\) | 7.18467 | − | 5.04695i | 0.681938 | − | 0.479035i | ||||
\(112\) | −1.00037 | − | 1.79051i | −0.0945265 | − | 0.169187i | ||||
\(113\) | 4.15519 | + | 13.4708i | 0.390887 | + | 1.26722i | 0.910744 | + | 0.412971i | \(0.135509\pi\) |
−0.519857 | + | 0.854253i | \(0.674015\pi\) | |||||||
\(114\) | 4.56090 | + | 18.7694i | 0.427167 | + | 1.75791i | ||||
\(115\) | −1.97809 | + | 4.10754i | −0.184458 | + | 0.383030i | ||||
\(116\) | 18.8580 | − | 10.8876i | 1.75092 | − | 1.01089i | ||||
\(117\) | 0.829875 | + | 0.845702i | 0.0767220 | + | 0.0781852i | ||||
\(118\) | −10.6145 | + | 22.0412i | −0.977144 | + | 2.02906i | ||||
\(119\) | −6.46869 | + | 5.83460i | −0.592984 | + | 0.534857i | ||||
\(120\) | −13.7175 | − | 2.92983i | −1.25223 | − | 0.267456i | ||||
\(121\) | 27.9451 | − | 13.4577i | 2.54047 | − | 1.22342i | ||||
\(122\) | −3.41144 | − | 3.16535i | −0.308857 | − | 0.286578i | ||||
\(123\) | −1.57949 | + | 4.19599i | −0.142418 | + | 0.378340i | ||||
\(124\) | −14.6898 | + | 21.5460i | −1.31919 | + | 1.93489i | ||||
\(125\) | −8.57909 | + | 4.13147i | −0.767337 | + | 0.369530i | ||||
\(126\) | 2.49667 | − | 18.2802i | 0.222421 | − | 1.62853i | ||||
\(127\) | −12.3855 | − | 5.96454i | −1.09903 | − | 0.529267i | −0.205680 | − | 0.978619i | \(-0.565941\pi\) |
−0.893355 | + | 0.449352i | \(0.851655\pi\) | |||||||
\(128\) | 17.0358 | − | 9.83562i | 1.50577 | − | 0.869354i | ||||
\(129\) | −5.69415 | − | 13.9326i | −0.501342 | − | 1.22670i | ||||
\(130\) | −1.88341 | + | 1.28408i | −0.165186 | + | 0.112622i | ||||
\(131\) | 2.93208 | − | 3.67672i | 0.256177 | − | 0.321236i | −0.637066 | − | 0.770809i | \(-0.719852\pi\) |
0.893244 | + | 0.449573i | \(0.148424\pi\) | |||||||
\(132\) | 6.22212 | + | 37.6980i | 0.541566 | + | 3.28119i | ||||
\(133\) | −1.71476 | − | 12.5768i | −0.148688 | − | 1.09055i | ||||
\(134\) | 1.80227 | − | 0.411356i | 0.155692 | − | 0.0355357i | ||||
\(135\) | −8.45988 | − | 9.74092i | −0.728110 | − | 0.838365i | ||||
\(136\) | 7.30442 | + | 7.87230i | 0.626349 | + | 0.675044i | ||||
\(137\) | 0.663356 | + | 0.529009i | 0.0566744 | + | 0.0451963i | 0.651417 | − | 0.758720i | \(-0.274175\pi\) |
−0.594743 | + | 0.803916i | \(0.702746\pi\) | |||||||
\(138\) | −2.60433 | + | 6.91855i | −0.221696 | + | 0.588946i | ||||
\(139\) | 20.7592 | + | 8.14738i | 1.76077 | + | 0.691051i | 0.999070 | + | 0.0431220i | \(0.0137304\pi\) |
0.761700 | + | 0.647929i | \(0.224365\pi\) | |||||||
\(140\) | 21.2680 | + | 6.89003i | 1.79748 | + | 0.582313i | ||||
\(141\) | −8.09027 | + | 7.71989i | −0.681324 | + | 0.650132i | ||||
\(142\) | 2.39582 | − | 6.10444i | 0.201053 | − | 0.512274i | ||||
\(143\) | 2.11526 | + | 1.44216i | 0.176887 | + | 0.120600i | ||||
\(144\) | −2.30845 | − | 0.282205i | −0.192371 | − | 0.0235171i | ||||
\(145\) | −4.68284 | + | 15.1814i | −0.388888 | + | 1.26074i | ||||
\(146\) | 15.5026 | − | 26.8513i | 1.28301 | − | 2.22223i | ||||
\(147\) | −2.86560 | + | 11.7808i | −0.236350 | + | 0.971668i | ||||
\(148\) | 8.62571 | + | 14.9402i | 0.709029 | + | 1.22807i | ||||
\(149\) | −10.0143 | + | 2.28570i | −0.820406 | + | 0.187252i | −0.612068 | − | 0.790805i | \(-0.709662\pi\) |
−0.208337 | + | 0.978057i | \(0.566805\pi\) | |||||||
\(150\) | 4.02885 | − | 2.40176i | 0.328955 | − | 0.196103i | ||||
\(151\) | 2.26430 | − | 1.09043i | 0.184266 | − | 0.0887379i | −0.339476 | − | 0.940615i | \(-0.610250\pi\) |
0.523742 | + | 0.851877i | \(0.324535\pi\) | |||||||
\(152\) | −15.4731 | + | 2.33220i | −1.25504 | + | 0.189166i | ||||
\(153\) | 1.01319 | + | 9.82557i | 0.0819114 | + | 0.794350i | ||||
\(154\) | −2.41855 | − | 39.7909i | −0.194892 | − | 3.20644i | ||||
\(155\) | −2.83566 | − | 18.8134i | −0.227766 | − | 1.51113i | ||||
\(156\) | −1.79967 | + | 1.47681i | −0.144089 | + | 0.118239i | ||||
\(157\) | −2.19083 | + | 0.859836i | −0.174847 | + | 0.0686224i | −0.451150 | − | 0.892448i | \(-0.648986\pi\) |
0.276303 | + | 0.961071i | \(0.410891\pi\) | |||||||
\(158\) | −7.98958 | + | 25.9016i | −0.635617 | + | 2.06062i | ||||
\(159\) | −1.44630 | + | 2.18637i | −0.114699 | + | 0.173390i | ||||
\(160\) | −3.45532 | + | 11.2019i | −0.273167 | + | 0.885586i | ||||
\(161\) | 2.16927 | − | 4.34674i | 0.170962 | − | 0.342571i | ||||
\(162\) | −15.0641 | − | 14.5165i | −1.18355 | − | 1.14053i | ||||
\(163\) | 2.20951 | + | 5.62974i | 0.173062 | + | 0.440955i | 0.990918 | − | 0.134468i | \(-0.0429325\pi\) |
−0.817856 | + | 0.575423i | \(0.804837\pi\) | |||||||
\(164\) | −7.93675 | − | 3.82214i | −0.619756 | − | 0.298459i | ||||
\(165\) | −22.0355 | − | 17.0744i | −1.71546 | − | 1.32924i | ||||
\(166\) | − | 20.1754i | − | 1.56592i | ||||||
\(167\) | 1.39695 | + | 18.6410i | 0.108099 | + | 1.44249i | 0.742689 | + | 0.669637i | \(0.233550\pi\) |
−0.634589 | + | 0.772849i | \(0.718831\pi\) | |||||||
\(168\) | 14.5715 | + | 3.32762i | 1.12422 | + | 0.256732i | ||||
\(169\) | 0.959834 | − | 12.8081i | 0.0738334 | − | 0.985238i | ||||
\(170\) | −18.9500 | − | 1.42010i | −1.45339 | − | 0.108917i | ||||
\(171\) | −12.6608 | − | 6.84517i | −0.968192 | − | 0.523463i | ||||
\(172\) | 28.2592 | − | 8.71682i | 2.15475 | − | 0.664651i | ||||
\(173\) | −17.8952 | − | 12.2007i | −1.36054 | − | 0.927603i | −0.360556 | − | 0.932737i | \(-0.617413\pi\) |
−0.999987 | + | 0.00513480i | \(0.998366\pi\) | |||||||
\(174\) | −5.38081 | + | 25.1929i | −0.407918 | + | 1.90987i | ||||
\(175\) | −2.79564 | + | 1.29810i | −0.211330 | + | 0.0981269i | ||||
\(176\) | −5.01089 | + | 0.375514i | −0.377710 | + | 0.0283055i | ||||
\(177\) | −6.89632 | − | 16.8742i | −0.518359 | − | 1.26834i | ||||
\(178\) | − | 6.88141i | − | 0.515784i | ||||||
\(179\) | −21.0352 | + | 1.57637i | −1.57225 | + | 0.117824i | −0.832102 | − | 0.554623i | \(-0.812863\pi\) |
−0.740146 | + | 0.672446i | \(0.765244\pi\) | |||||||
\(180\) | 20.5375 | − | 14.8598i | 1.53078 | − | 1.10758i | ||||
\(181\) | −8.12648 | − | 1.85482i | −0.604037 | − | 0.137867i | −0.0904440 | − | 0.995902i | \(-0.528829\pi\) |
−0.513593 | + | 0.858034i | \(0.671686\pi\) | |||||||
\(182\) | 2.02599 | − | 1.33986i | 0.150176 | − | 0.0993174i | ||||
\(183\) | 3.45403 | − | 0.307447i | 0.255329 | − | 0.0227271i | ||||
\(184\) | −5.39571 | − | 2.59844i | −0.397777 | − | 0.191559i | ||||
\(185\) | −12.0274 | − | 3.70996i | −0.884273 | − | 0.272762i | ||||
\(186\) | −7.28461 | − | 29.9782i | −0.534134 | − | 2.19811i | ||||
\(187\) | 6.29080 | + | 20.3943i | 0.460029 | + | 1.49138i | ||||
\(188\) | −13.6991 | − | 17.1781i | −0.999110 | − | 1.25284i | ||||
\(189\) | 8.86743 | + | 10.5057i | 0.645011 | + | 0.764174i | ||||
\(190\) | 17.2640 | − | 21.6484i | 1.25247 | − | 1.57054i | ||||
\(191\) | −1.00521 | − | 0.394514i | −0.0727342 | − | 0.0285461i | 0.328695 | − | 0.944436i | \(-0.393391\pi\) |
−0.401429 | + | 0.915890i | \(0.631486\pi\) | |||||||
\(192\) | −4.53124 | + | 21.2153i | −0.327014 | + | 1.53108i | ||||
\(193\) | −0.263118 | + | 0.0396586i | −0.0189396 | + | 0.00285469i | −0.158505 | − | 0.987358i | \(-0.550667\pi\) |
0.139566 | + | 0.990213i | \(0.455429\pi\) | |||||||
\(194\) | −5.15345 | − | 22.5787i | −0.369996 | − | 1.62106i | ||||
\(195\) | 0.229654 | − | 1.68294i | 0.0164459 | − | 0.120518i | ||||
\(196\) | −22.5569 | − | 7.66045i | −1.61121 | − | 0.547175i | ||||
\(197\) | 14.6588i | 1.04440i | 0.852824 | + | 0.522199i | \(0.174888\pi\) | ||||
−0.852824 | + | 0.522199i | \(0.825112\pi\) | |||||||
\(198\) | −38.0447 | − | 24.4093i | −2.70372 | − | 1.73469i | ||||
\(199\) | 12.1157 | + | 4.75507i | 0.858860 | + | 0.337078i | 0.753573 | − | 0.657364i | \(-0.228329\pi\) |
0.105287 | + | 0.994442i | \(0.466424\pi\) | |||||||
\(200\) | 1.64867 | + | 3.42351i | 0.116579 | + | 0.242078i | ||||
\(201\) | −0.671996 | + | 1.20244i | −0.0473990 | + | 0.0848134i | ||||
\(202\) | −2.27177 | + | 15.0722i | −0.159841 | + | 1.06048i | ||||
\(203\) | 5.21737 | − | 16.1049i | 0.366188 | − | 1.13034i | ||||
\(204\) | −19.4059 | + | 0.271259i | −1.35869 | + | 0.0189920i | ||||
\(205\) | 6.14158 | − | 1.89443i | 0.428947 | − | 0.132313i | ||||
\(206\) | 26.9296 | + | 4.05898i | 1.87627 | + | 0.282803i | ||||
\(207\) | −2.52780 | − | 4.89417i | −0.175694 | − | 0.340168i | ||||
\(208\) | −0.172474 | − | 0.252972i | −0.0119589 | − | 0.0175405i | ||||
\(209\) | −29.7165 | − | 9.16632i | −2.05553 | − | 0.634048i | ||||
\(210\) | −22.9066 | + | 13.2216i | −1.58070 | + | 0.912376i | ||||
\(211\) | −23.4596 | + | 7.23634i | −1.61503 | + | 0.498170i | −0.965112 | − | 0.261836i | \(-0.915672\pi\) |
−0.649916 | + | 0.760006i | \(0.725196\pi\) | |||||||
\(212\) | −4.02695 | − | 3.21139i | −0.276572 | − | 0.220559i | ||||
\(213\) | 2.18147 | + | 4.37246i | 0.149472 | + | 0.299596i | ||||
\(214\) | 2.91166 | 0.199037 | ||||||||
\(215\) | −10.7882 | + | 18.6858i | −0.735751 | + | 1.27436i | ||||
\(216\) | 12.7958 | − | 11.1130i | 0.870643 | − | 0.756143i | ||||
\(217\) | 2.73879 | + | 20.0876i | 0.185921 | + | 1.36364i | ||||
\(218\) | 23.7829 | + | 1.78228i | 1.61078 | + | 0.120711i | ||||
\(219\) | 7.11768 | + | 21.9794i | 0.480968 | + | 1.48523i | ||||
\(220\) | 37.2546 | − | 40.1510i | 2.51171 | − | 2.70698i | ||||
\(221\) | −0.884504 | + | 0.953269i | −0.0594982 | + | 0.0641238i | ||||
\(222\) | −19.9590 | − | 4.26293i | −1.33956 | − | 0.286109i | ||||
\(223\) | 9.86491 | + | 0.739273i | 0.660603 | + | 0.0495054i | 0.400813 | − | 0.916160i | \(-0.368728\pi\) |
0.259790 | + | 0.965665i | \(0.416347\pi\) | |||||||
\(224\) | 3.84974 | − | 11.8833i | 0.257221 | − | 0.793988i | ||||
\(225\) | −0.682171 | + | 3.42779i | −0.0454780 | + | 0.228520i | ||||
\(226\) | 16.3841 | − | 28.3781i | 1.08986 | − | 1.88769i | ||||
\(227\) | 11.1384 | 0.739281 | 0.369640 | − | 0.929175i | \(-0.379481\pi\) | ||||
0.369640 | + | 0.929175i | \(0.379481\pi\) | |||||||
\(228\) | 15.6021 | − | 23.5857i | 1.03327 | − | 1.56200i | ||||
\(229\) | −3.00027 | − | 2.39263i | −0.198263 | − | 0.158110i | 0.519326 | − | 0.854576i | \(-0.326183\pi\) |
−0.717589 | + | 0.696467i | \(0.754754\pi\) | |||||||
\(230\) | 10.1265 | − | 3.12362i | 0.667723 | − | 0.205965i | ||||
\(231\) | 23.2217 | + | 18.5231i | 1.52788 | + | 1.21873i | ||||
\(232\) | −19.9424 | − | 6.15142i | −1.30928 | − | 0.403861i | ||||
\(233\) | −9.13957 | − | 13.4053i | −0.598753 | − | 0.878209i | 0.400522 | − | 0.916287i | \(-0.368829\pi\) |
−0.999275 | + | 0.0380779i | \(0.987876\pi\) | |||||||
\(234\) | 0.128973 | − | 2.75116i | 0.00843126 | − | 0.179849i | ||||
\(235\) | 15.8514 | + | 2.38922i | 1.03403 | + | 0.155855i | ||||
\(236\) | 34.2254 | − | 10.5572i | 2.22789 | − | 0.687212i | ||||
\(237\) | −10.3423 | − | 17.3488i | −0.671803 | − | 1.12692i | ||||
\(238\) | 20.1692 | + | 1.79763i | 1.30737 | + | 0.116523i | ||||
\(239\) | −0.660613 | + | 4.38288i | −0.0427315 | + | 0.283505i | −0.999983 | − | 0.00575029i | \(-0.998170\pi\) |
0.957252 | + | 0.289255i | \(0.0934077\pi\) | |||||||
\(240\) | 1.70712 | + | 2.86363i | 0.110194 | + | 0.184846i | ||||
\(241\) | −6.43288 | − | 13.3580i | −0.414379 | − | 0.860466i | −0.998798 | − | 0.0490142i | \(-0.984392\pi\) |
0.584420 | − | 0.811452i | \(-0.301322\pi\) | |||||||
\(242\) | −67.1137 | − | 26.3402i | −4.31423 | − | 1.69321i | ||||
\(243\) | 15.5504 | − | 1.08853i | 0.997559 | − | 0.0698294i | ||||
\(244\) | 6.81337i | 0.436182i | ||||||||
\(245\) | 15.8657 | − | 7.09685i | 1.01362 | − | 0.453401i | ||||
\(246\) | 9.64704 | − | 3.94266i | 0.615073 | − | 0.251375i | ||||
\(247\) | −0.421639 | − | 1.84732i | −0.0268283 | − | 0.117542i | ||||
\(248\) | 24.7135 | − | 3.72496i | 1.56931 | − | 0.236535i | ||||
\(249\) | 11.1622 | + | 10.0703i | 0.707373 | + | 0.638182i | ||||
\(250\) | 20.6038 | + | 8.08638i | 1.30310 | + | 0.511428i | ||||
\(251\) | 2.39110 | − | 2.99834i | 0.150925 | − | 0.189254i | −0.700622 | − | 0.713533i | \(-0.747094\pi\) |
0.851546 | + | 0.524279i | \(0.175665\pi\) | |||||||
\(252\) | −22.1051 | + | 15.5242i | −1.39249 | + | 0.977931i | ||||
\(253\) | −7.42072 | − | 9.30529i | −0.466537 | − | 0.585019i | ||||
\(254\) | 9.41866 | + | 30.5345i | 0.590979 | + | 1.91591i | ||||
\(255\) | 10.2443 | − | 9.77532i | 0.641524 | − | 0.612155i | ||||
\(256\) | −19.7568 | − | 6.09418i | −1.23480 | − | 0.380886i | ||||
\(257\) | 4.48426 | + | 2.15951i | 0.279720 | + | 0.134706i | 0.568484 | − | 0.822694i | \(-0.307530\pi\) |
−0.288764 | + | 0.957400i | \(0.593244\pi\) | |||||||
\(258\) | −14.7379 | + | 31.7307i | −0.917544 | + | 1.97547i | ||||
\(259\) | 12.7591 | + | 4.13345i | 0.792810 | + | 0.256840i | ||||
\(260\) | 3.25364 | + | 0.742623i | 0.201782 | + | 0.0460555i | ||||
\(261\) | −11.2524 | − | 15.5517i | −0.696503 | − | 0.962627i | ||||
\(262\) | −10.9007 | + | 0.816896i | −0.673448 | + | 0.0504680i | ||||
\(263\) | 17.5791i | 1.08397i | 0.840388 | + | 0.541986i | \(0.182327\pi\) | ||||
−0.840388 | + | 0.541986i | \(0.817673\pi\) | |||||||
\(264\) | 22.4291 | − | 28.9461i | 1.38042 | − | 1.78151i | ||||
\(265\) | 3.74741 | − | 0.280829i | 0.230201 | − | 0.0172512i | ||||
\(266\) | −18.7193 | + | 22.8064i | −1.14776 | + | 1.39835i | ||||
\(267\) | 3.80717 | + | 3.43478i | 0.232995 | + | 0.210205i | ||||
\(268\) | −2.23620 | − | 1.52462i | −0.136598 | − | 0.0931309i | ||||
\(269\) | 4.66714 | − | 1.43962i | 0.284560 | − | 0.0877753i | −0.149189 | − | 0.988809i | \(-0.547666\pi\) |
0.433750 | + | 0.901033i | \(0.357190\pi\) | |||||||
\(270\) | −3.22270 | + | 29.8161i | −0.196127 | + | 1.81455i | ||||
\(271\) | −24.1617 | − | 1.81067i | −1.46772 | − | 0.109990i | −0.683262 | − | 0.730173i | \(-0.739440\pi\) |
−0.784458 | + | 0.620182i | \(0.787059\pi\) | |||||||
\(272\) | 0.190743 | − | 2.54529i | 0.0115655 | − | 0.154331i | ||||
\(273\) | −0.269960 | + | 1.78966i | −0.0163387 | + | 0.108315i | ||||
\(274\) | −0.147385 | − | 1.96672i | −0.00890386 | − | 0.118814i | ||||
\(275\) | 7.55160i | 0.455379i | ||||||||
\(276\) | 10.0186 | − | 4.09453i | 0.603051 | − | 0.246462i | ||||
\(277\) | −15.9504 | − | 7.68133i | −0.958370 | − | 0.461526i | −0.111757 | − | 0.993736i | \(-0.535648\pi\) |
−0.846613 | + | 0.532209i | \(0.821362\pi\) | |||||||
\(278\) | −18.9383 | − | 48.2541i | −1.13585 | − | 2.89409i | ||||
\(279\) | 20.2216 | + | 10.9330i | 1.21064 | + | 0.654543i | ||||
\(280\) | −9.02359 | − | 19.4336i | −0.539263 | − | 1.16138i | ||||
\(281\) | −4.64702 | + | 15.0653i | −0.277218 | + | 0.898720i | 0.704715 | + | 0.709491i | \(0.251075\pi\) |
−0.981933 | + | 0.189229i | \(0.939401\pi\) | |||||||
\(282\) | 25.9454 | + | 1.58002i | 1.54503 | + | 0.0940886i | ||||
\(283\) | −3.33334 | + | 10.8064i | −0.198147 | + | 0.642376i | 0.800903 | + | 0.598794i | \(0.204353\pi\) |
−0.999050 | + | 0.0435819i | \(0.986123\pi\) | |||||||
\(284\) | −8.93728 | + | 3.50762i | −0.530330 | + | 0.208139i | ||||
\(285\) | 3.35995 | + | 20.3570i | 0.199026 | + | 1.20584i | ||||
\(286\) | −0.886936 | − | 5.88444i | −0.0524456 | − | 0.347954i | ||||
\(287\) | −6.57209 | + | 1.92622i | −0.387938 | + | 0.113701i | ||||
\(288\) | −8.30277 | − | 11.4751i | −0.489245 | − | 0.676179i | ||||
\(289\) | 6.09028 | − | 0.917962i | 0.358252 | − | 0.0539978i | ||||
\(290\) | 33.2722 | − | 16.0230i | 1.95381 | − | 0.940906i | ||||
\(291\) | 15.0641 | + | 8.41873i | 0.883071 | + | 0.493515i | ||||
\(292\) | −44.2554 | + | 10.1010i | −2.58985 | + | 0.591117i | ||||
\(293\) | −9.55253 | − | 16.5455i | −0.558065 | − | 0.966597i | −0.997658 | − | 0.0683996i | \(-0.978211\pi\) |
0.439593 | − | 0.898197i | \(-0.355123\pi\) | |||||||
\(294\) | 24.6047 | − | 13.7432i | 1.43498 | − | 0.801517i | ||||
\(295\) | −13.0659 | + | 22.6308i | −0.760725 | + | 1.31761i | ||||
\(296\) | 4.87345 | − | 15.7993i | 0.283264 | − | 0.918318i | ||||
\(297\) | 32.4941 | − | 8.86480i | 1.88550 | − | 0.514388i | ||||
\(298\) | 19.7278 | + | 13.4502i | 1.14280 | + | 0.779149i | ||||
\(299\) | 0.264943 | − | 0.675063i | 0.0153220 | − | 0.0390399i | ||||
\(300\) | −6.58964 | − | 1.93219i | −0.380453 | − | 0.111555i | ||||
\(301\) | 11.7751 | − | 19.7470i | 0.678704 | − | 1.13820i | ||||
\(302\) | −5.43800 | − | 2.13426i | −0.312922 | − | 0.122813i | ||||
\(303\) | −7.20483 | − | 8.77997i | −0.413907 | − | 0.504396i | ||||
\(304\) | 2.90774 | + | 2.31885i | 0.166770 | + | 0.132995i | ||||
\(305\) | −3.38115 | − | 3.64402i | −0.193604 | − | 0.208656i | ||||
\(306\) | 15.1405 | − | 17.2611i | 0.865523 | − | 0.986750i | ||||
\(307\) | −3.71723 | + | 0.848434i | −0.212154 | + | 0.0484227i | −0.327277 | − | 0.944929i | \(-0.606131\pi\) |
0.115123 | + | 0.993351i | \(0.463274\pi\) | |||||||
\(308\) | −40.2964 | + | 42.2200i | −2.29610 | + | 2.40571i | ||||
\(309\) | −15.6872 | + | 12.8729i | −0.892416 | + | 0.732316i | ||||
\(310\) | −27.5739 | + | 34.5766i | −1.56609 | + | 1.96382i | ||||
\(311\) | −21.1155 | + | 14.3963i | −1.19735 | + | 0.816339i | −0.986911 | − | 0.161268i | \(-0.948442\pi\) |
−0.210439 | + | 0.977607i | \(0.567489\pi\) | |||||||
\(312\) | 2.21073 | + | 0.301676i | 0.125158 | + | 0.0170790i | ||||
\(313\) | −6.51130 | + | 3.75930i | −0.368041 | + | 0.212488i | −0.672602 | − | 0.740004i | \(-0.734823\pi\) |
0.304562 | + | 0.952493i | \(0.401490\pi\) | |||||||
\(314\) | 4.92891 | + | 2.37364i | 0.278155 | + | 0.133952i | ||||
\(315\) | 4.11864 | − | 19.2726i | 0.232059 | − | 1.08589i | ||||
\(316\) | 35.7546 | − | 17.2185i | 2.01135 | − | 0.968616i | ||||
\(317\) | −13.7912 | + | 20.2280i | −0.774592 | + | 1.13612i | 0.212687 | + | 0.977120i | \(0.431779\pi\) |
−0.987279 | + | 0.158998i | \(0.949174\pi\) | |||||||
\(318\) | 6.01214 | − | 0.992313i | 0.337144 | − | 0.0556461i | ||||
\(319\) | −30.4037 | − | 28.2105i | −1.70228 | − | 1.57949i | ||||
\(320\) | 28.0189 | − | 13.4932i | 1.56631 | − | 0.754293i | ||||
\(321\) | −1.45332 | + | 1.61089i | −0.0811165 | + | 0.0899112i | ||||
\(322\) | −10.8364 | + | 3.17604i | −0.603887 | + | 0.176994i | ||||
\(323\) | 6.85376 | − | 14.2320i | 0.381354 | − | 0.791889i | ||||
\(324\) | −0.578563 | + | 30.6230i | −0.0321424 | + | 1.70128i | ||||
\(325\) | −0.398479 | + | 0.230062i | −0.0221037 | + | 0.0127616i | ||||
\(326\) | 6.09951 | − | 12.6658i | 0.337821 | − | 0.701492i | ||||
\(327\) | −12.8570 | + | 12.2684i | −0.710994 | + | 0.678443i | ||||
\(328\) | 2.48854 | + | 8.06765i | 0.137407 | + | 0.445462i | ||||
\(329\) | −16.8533 | − | 2.78366i | −0.929151 | − | 0.153468i | ||||
\(330\) | 5.74504 | + | 64.5430i | 0.316254 | + | 3.55297i | ||||
\(331\) | −1.27375 | − | 16.9970i | −0.0700117 | − | 0.934241i | −0.916036 | − | 0.401097i | \(-0.868629\pi\) |
0.846024 | − | 0.533145i | \(-0.178990\pi\) | |||||||
\(332\) | −21.6529 | + | 20.0910i | −1.18836 | + | 1.10264i | ||||
\(333\) | 12.3208 | − | 8.91465i | 0.675176 | − | 0.488520i | ||||
\(334\) | 29.5549 | − | 31.8526i | 1.61717 | − | 1.74290i | ||||
\(335\) | 1.95259 | − | 0.294306i | 0.106681 | − | 0.0160796i | ||||
\(336\) | −1.77588 | − | 3.07673i | −0.0968820 | − | 0.167849i | ||||
\(337\) | 5.30860 | + | 0.800143i | 0.289178 | + | 0.0435866i | 0.292029 | − | 0.956409i | \(-0.405670\pi\) |
−0.00285132 | + | 0.999996i | \(0.500908\pi\) | |||||||
\(338\) | −23.3420 | + | 18.6146i | −1.26964 | + | 1.01250i | ||||
\(339\) | 7.52240 | + | 23.2292i | 0.408561 | + | 1.26164i | ||||
\(340\) | 17.3465 | + | 21.7519i | 0.940748 | + | 1.17966i | ||||
\(341\) | 47.4628 | + | 14.6403i | 2.57026 | + | 0.792819i | ||||
\(342\) | 8.35331 | + | 32.3959i | 0.451695 | + | 1.75177i | ||||
\(343\) | −17.0109 | + | 7.32319i | −0.918502 | + | 0.395415i | ||||
\(344\) | −24.5458 | − | 14.1715i | −1.32342 | − | 0.764078i | ||||
\(345\) | −3.32638 | + | 7.16167i | −0.179086 | + | 0.385571i | ||||
\(346\) | 7.50349 | + | 49.7824i | 0.403390 | + | 2.67632i | ||||
\(347\) | −6.83068 | − | 0.511889i | −0.366690 | − | 0.0274796i | −0.109889 | − | 0.993944i | \(-0.535050\pi\) |
−0.256801 | + | 0.966464i | \(0.582669\pi\) | |||||||
\(348\) | 32.3962 | − | 19.3126i | 1.73662 | − | 1.03527i | ||||
\(349\) | −5.44455 | + | 2.13683i | −0.291440 | + | 0.114382i | −0.506557 | − | 0.862207i | \(-0.669082\pi\) |
0.215117 | + | 0.976588i | \(0.430987\pi\) | |||||||
\(350\) | 6.63192 | + | 2.71131i | 0.354491 | + | 0.144925i | ||||
\(351\) | 1.45772 | + | 1.44457i | 0.0778073 | + | 0.0771052i | ||||
\(352\) | −22.4340 | − | 20.8157i | −1.19573 | − | 1.10948i | ||||
\(353\) | −11.0910 | + | 13.9077i | −0.590315 | + | 0.740232i | −0.983834 | − | 0.179085i | \(-0.942686\pi\) |
0.393519 | + | 0.919317i | \(0.371258\pi\) | |||||||
\(354\) | −17.8495 | + | 38.4298i | −0.948689 | + | 2.04252i | ||||
\(355\) | 3.03928 | − | 6.31114i | 0.161308 | − | 0.334960i | ||||
\(356\) | −7.38535 | + | 6.85261i | −0.391423 | + | 0.363187i | ||||
\(357\) | −11.0618 | + | 10.2614i | −0.585450 | + | 0.543093i | ||||
\(358\) | 35.9437 | + | 33.3509i | 1.89968 | + | 1.76265i | ||||
\(359\) | 15.0747 | − | 5.91637i | 0.795611 | − | 0.312254i | 0.0675050 | − | 0.997719i | \(-0.478496\pi\) |
0.728106 | + | 0.685465i | \(0.240401\pi\) | |||||||
\(360\) | −23.8280 | − | 4.74204i | −1.25584 | − | 0.249928i | ||||
\(361\) | 2.00840 | + | 3.47864i | 0.105705 | + | 0.183086i | ||||
\(362\) | 9.68778 | + | 16.7797i | 0.509178 | + | 0.881923i | ||||
\(363\) | 48.0718 | − | 23.9836i | 2.52312 | − | 1.25881i | ||||
\(364\) | −3.45549 | − | 0.840097i | −0.181117 | − | 0.0440331i | ||||
\(365\) | 18.6566 | − | 27.3642i | 0.976532 | − | 1.43231i | ||||
\(366\) | −5.98484 | − | 5.39943i | −0.312833 | − | 0.282233i | ||||
\(367\) | −7.87988 | − | 1.79853i | −0.411326 | − | 0.0938826i | 0.0118502 | − | 0.999930i | \(-0.496228\pi\) |
−0.423177 | + | 0.906047i | \(0.639085\pi\) | |||||||
\(368\) | 0.419553 | + | 1.36016i | 0.0218707 | + | 0.0709031i | ||||
\(369\) | −2.63391 | + | 7.30520i | −0.137116 | + | 0.380294i | ||||
\(370\) | 12.6942 | + | 26.3598i | 0.659941 | + | 1.37038i | ||||
\(371\) | −3.99695 | + | 0.242941i | −0.207511 | + | 0.0126129i | ||||
\(372\) | −24.9195 | + | 37.6708i | −1.29201 | + | 1.95314i | ||||
\(373\) | −22.4288 | −1.16132 | −0.580659 | − | 0.814147i | \(-0.697205\pi\) | ||||
−0.580659 | + | 0.814147i | \(0.697205\pi\) | |||||||
\(374\) | 24.8050 | − | 42.9635i | 1.28263 | − | 2.22159i | ||||
\(375\) | −14.7580 | + | 7.36291i | −0.762098 | + | 0.380219i | ||||
\(376\) | −3.13850 | + | 20.8226i | −0.161856 | + | 1.07384i | ||||
\(377\) | 0.562340 | − | 2.46377i | 0.0289620 | − | 0.126891i | ||||
\(378\) | 3.88141 | − | 31.7196i | 0.199638 | − | 1.63148i | ||||
\(379\) | −1.42258 | − | 6.23271i | −0.0730728 | − | 0.320153i | 0.925160 | − | 0.379577i | \(-0.123931\pi\) |
−0.998233 | + | 0.0594245i | \(0.981073\pi\) | |||||||
\(380\) | −40.4256 | + | 3.02948i | −2.07379 | + | 0.155409i | ||||
\(381\) | −21.5946 | − | 10.0300i | −1.10632 | − | 0.513854i | ||||
\(382\) | 0.917037 | + | 2.33657i | 0.0469197 | + | 0.119549i | ||||
\(383\) | 0.887283 | − | 3.88744i | 0.0453380 | − | 0.198639i | −0.947187 | − | 0.320683i | \(-0.896088\pi\) |
0.992525 | + | 0.122044i | \(0.0389448\pi\) | |||||||
\(384\) | 29.2659 | − | 17.4465i | 1.49347 | − | 0.890315i | ||||
\(385\) | 0.600089 | − | 42.5779i | 0.0305834 | − | 2.16997i | ||||
\(386\) | 0.483577 | + | 0.385640i | 0.0246134 | + | 0.0196285i | ||||
\(387\) | −10.1989 | − | 23.9918i | −0.518438 | − | 1.21957i | ||||
\(388\) | −19.1003 | + | 28.0151i | −0.969673 | + | 1.42225i | ||||
\(389\) | 21.0777 | − | 16.8089i | 1.06868 | − | 0.852247i | 0.0791955 | − | 0.996859i | \(-0.474765\pi\) |
0.989488 | + | 0.144612i | \(0.0461934\pi\) | |||||||
\(390\) | −3.23075 | + | 2.26948i | −0.163595 | + | 0.114919i | ||||
\(391\) | 5.23564 | − | 3.02280i | 0.264778 | − | 0.152869i | ||||
\(392\) | 9.32250 | + | 20.8413i | 0.470857 | + | 1.05265i | ||||
\(393\) | 4.98901 | − | 6.43862i | 0.251662 | − | 0.324785i | ||||
\(394\) | 24.9780 | − | 23.1762i | 1.25837 | − | 1.16760i | ||||
\(395\) | −10.5780 | + | 26.9523i | −0.532237 | + | 1.35612i | ||||
\(396\) | 11.6886 | + | 65.1379i | 0.587374 | + | 3.27330i | ||||
\(397\) | −2.26729 | − | 15.0425i | −0.113792 | − | 0.754961i | −0.970841 | − | 0.239726i | \(-0.922943\pi\) |
0.857049 | − | 0.515236i | \(-0.172296\pi\) | |||||||
\(398\) | −11.0530 | − | 28.1626i | −0.554037 | − | 1.41166i | ||||
\(399\) | −3.27422 | − | 21.7401i | −0.163916 | − | 1.08837i | ||||
\(400\) | 0.329948 | − | 0.840695i | 0.0164974 | − | 0.0420347i | ||||
\(401\) | 37.1201 | + | 8.47241i | 1.85369 | + | 0.423092i | 0.995864 | − | 0.0908535i | \(-0.0289595\pi\) |
0.857823 | + | 0.513946i | \(0.171817\pi\) | |||||||
\(402\) | 3.11136 | − | 0.756050i | 0.155180 | − | 0.0377083i | ||||
\(403\) | 0.673437 | + | 2.95052i | 0.0335463 | + | 0.146976i | ||||
\(404\) | 18.4382 | − | 12.5710i | 0.917336 | − | 0.625429i | ||||
\(405\) | −14.8873 | − | 16.6653i | −0.739757 | − | 0.828107i | ||||
\(406\) | −35.6910 | + | 16.5724i | −1.77131 | + | 0.822472i | ||||
\(407\) | 22.3497 | − | 24.0873i | 1.10783 | − | 1.19396i | ||||
\(408\) | 12.8410 | + | 13.4571i | 0.635723 | + | 0.666224i | ||||
\(409\) | −2.39008 | − | 3.50560i | −0.118182 | − | 0.173341i | 0.762590 | − | 0.646883i | \(-0.223928\pi\) |
−0.880771 | + | 0.473542i | \(0.842975\pi\) | |||||||
\(410\) | −12.9381 | − | 7.46983i | −0.638968 | − | 0.368909i | ||||
\(411\) | 1.16166 | + | 0.900122i | 0.0573005 | + | 0.0443998i | ||||
\(412\) | −22.4606 | − | 32.9437i | −1.10656 | − | 1.62302i | ||||
\(413\) | 14.2611 | − | 23.9161i | 0.701742 | − | 1.17683i | ||||
\(414\) | −4.34291 | + | 12.0452i | −0.213442 | + | 0.591987i | ||||
\(415\) | 1.61050 | − | 21.4906i | 0.0790564 | − | 1.05493i | ||||
\(416\) | 0.414934 | − | 1.81794i | 0.0203438 | − | 0.0891320i | ||||
\(417\) | 36.1497 | + | 13.6077i | 1.77026 | + | 0.666374i | ||||
\(418\) | 31.3640 | + | 65.1280i | 1.53406 | + | 3.18551i | ||||
\(419\) | −10.4288 | − | 7.11026i | −0.509482 | − | 0.347359i | 0.281137 | − | 0.959668i | \(-0.409289\pi\) |
−0.790619 | + | 0.612309i | \(0.790241\pi\) | |||||||
\(420\) | 37.0005 | + | 11.4178i | 1.80544 | + | 0.557134i | ||||
\(421\) | 25.6879 | − | 17.5137i | 1.25195 | − | 0.853565i | 0.258299 | − | 0.966065i | \(-0.416838\pi\) |
0.993652 | + | 0.112500i | \(0.0358857\pi\) | |||||||
\(422\) | 49.4211 | + | 28.5333i | 2.40578 | + | 1.38898i | ||||
\(423\) | −13.8245 | + | 13.5658i | −0.672171 | + | 0.659591i | ||||
\(424\) | 0.368901 | + | 4.92264i | 0.0179154 | + | 0.239064i | ||||
\(425\) | −3.79300 | − | 0.571703i | −0.183988 | − | 0.0277317i | ||||
\(426\) | 4.00149 | − | 10.6302i | 0.193873 | − | 0.515034i | ||||
\(427\) | 3.54778 | + | 3.93335i | 0.171689 | + | 0.190348i | ||||
\(428\) | −2.89947 | − | 3.12489i | −0.140151 | − | 0.151047i | ||||
\(429\) | 3.69830 | + | 2.44645i | 0.178555 | + | 0.118116i | ||||
\(430\) | 48.8964 | − | 11.1603i | 2.35799 | − | 0.538197i | ||||
\(431\) | −1.11780 | + | 7.41614i | −0.0538427 | + | 0.357223i | 0.945644 | + | 0.325202i | \(0.105432\pi\) |
−0.999487 | + | 0.0320208i | \(0.989806\pi\) | |||||||
\(432\) | −4.00479 | − | 0.432861i | −0.192681 | − | 0.0208260i | ||||
\(433\) | 8.59410 | − | 6.85357i | 0.413006 | − | 0.329361i | −0.394845 | − | 0.918748i | \(-0.629202\pi\) |
0.807851 | + | 0.589386i | \(0.200630\pi\) | |||||||
\(434\) | 29.8983 | − | 36.4261i | 1.43516 | − | 1.74851i | ||||
\(435\) | −7.74260 | + | 26.4057i | −0.371229 | + | 1.26606i | ||||
\(436\) | −21.7705 | − | 27.2994i | −1.04262 | − | 1.30740i | ||||
\(437\) | −0.658300 | + | 8.78440i | −0.0314907 | + | 0.420215i | ||||
\(438\) | 26.1987 | − | 46.8786i | 1.25182 | − | 2.23995i | ||||
\(439\) | 14.0833 | + | 15.1782i | 0.672160 | + | 0.724416i | 0.973395 | − | 0.229134i | \(-0.0735893\pi\) |
−0.301235 | + | 0.953550i | \(0.597399\pi\) | |||||||
\(440\) | −52.4942 | −2.50256 | ||||||||
\(441\) | −4.67768 | + | 20.4724i | −0.222747 | + | 0.974876i | ||||
\(442\) | 3.02277 | 0.143778 | ||||||||
\(443\) | 5.74353 | + | 6.19005i | 0.272883 | + | 0.294098i | 0.854593 | − | 0.519298i | \(-0.173807\pi\) |
−0.581710 | + | 0.813396i | \(0.697616\pi\) | |||||||
\(444\) | 15.3004 | + | 25.6658i | 0.726124 | + | 1.21804i | ||||
\(445\) | 0.549307 | − | 7.33000i | 0.0260397 | − | 0.347475i | ||||
\(446\) | −14.3371 | − | 17.9782i | −0.678884 | − | 0.851293i | ||||
\(447\) | −17.2883 | + | 4.20100i | −0.817708 | + | 0.198701i | ||||
\(448\) | −30.0558 | + | 13.9558i | −1.42000 | + | 0.659349i | ||||
\(449\) | −16.6216 | + | 13.2553i | −0.784422 | + | 0.625555i | −0.931571 | − | 0.363559i | \(-0.881562\pi\) |
0.147150 | + | 0.989114i | \(0.452990\pi\) | |||||||
\(450\) | 6.91936 | − | 4.25710i | 0.326182 | − | 0.200681i | ||||
\(451\) | −2.50075 | + | 16.5914i | −0.117756 | + | 0.781258i | ||||
\(452\) | −46.7719 | + | 10.6754i | −2.19996 | + | 0.502128i | ||||
\(453\) | 3.89510 | − | 1.94331i | 0.183008 | − | 0.0913047i | ||||
\(454\) | −17.6103 | − | 18.9794i | −0.826491 | − | 0.890745i | ||||
\(455\) | 2.26501 | − | 1.26548i | 0.106185 | − | 0.0593268i | ||||
\(456\) | −26.7412 | + | 4.41367i | −1.25227 | + | 0.206689i | ||||
\(457\) | −37.2040 | − | 5.60761i | −1.74033 | − | 0.262313i | −0.799373 | − | 0.600835i | \(-0.794835\pi\) |
−0.940958 | + | 0.338522i | \(0.890073\pi\) | |||||||
\(458\) | 0.666602 | + | 8.89518i | 0.0311482 | + | 0.415644i | ||||
\(459\) | 1.99258 | + | 16.9922i | 0.0930059 | + | 0.793128i | ||||
\(460\) | −13.4365 | − | 7.75757i | −0.626480 | − | 0.361698i | ||||
\(461\) | −1.77082 | + | 1.20732i | −0.0824751 | + | 0.0562306i | −0.603856 | − | 0.797094i | \(-0.706370\pi\) |
0.521380 | + | 0.853324i | \(0.325417\pi\) | |||||||
\(462\) | −5.15192 | − | 68.8546i | −0.239689 | − | 3.20340i | ||||
\(463\) | 6.50140 | + | 4.43258i | 0.302146 | + | 0.205999i | 0.704896 | − | 0.709310i | \(-0.250993\pi\) |
−0.402751 | + | 0.915310i | \(0.631946\pi\) | |||||||
\(464\) | 2.15216 | + | 4.46900i | 0.0999114 | + | 0.207468i | ||||
\(465\) | −5.36648 | − | 32.5139i | −0.248865 | − | 1.50780i | ||||
\(466\) | −8.39200 | + | 36.7678i | −0.388752 | + | 1.70323i | ||||
\(467\) | 1.07657 | − | 14.3658i | 0.0498175 | − | 0.664769i | −0.915270 | − | 0.402841i | \(-0.868023\pi\) |
0.965087 | − | 0.261928i | \(-0.0843582\pi\) | |||||||
\(468\) | −3.08107 | + | 2.60123i | −0.142423 | + | 0.120242i | ||||
\(469\) | −2.08484 | + | 0.284251i | −0.0962688 | + | 0.0131255i | ||||
\(470\) | −20.9907 | − | 30.7876i | −0.968227 | − | 1.42013i | ||||
\(471\) | −3.77344 | + | 1.54217i | −0.173871 | + | 0.0710595i | ||||
\(472\) | −29.7280 | − | 17.1635i | −1.36834 | − | 0.790014i | ||||
\(473\) | −31.7307 | − | 46.5404i | −1.45898 | − | 2.13993i | ||||
\(474\) | −13.2100 | + | 45.0519i | −0.606754 | + | 2.06930i | ||||
\(475\) | 3.80163 | − | 4.09718i | 0.174431 | − | 0.187991i | ||||
\(476\) | −18.1555 | − | 23.4363i | −0.832155 | − | 1.07420i | ||||
\(477\) | −2.45188 | + | 3.82154i | −0.112264 | + | 0.174977i | ||||
\(478\) | 8.51271 | − | 5.80387i | 0.389362 | − | 0.265463i | ||||
\(479\) | 3.55593 | + | 15.5795i | 0.162475 | + | 0.711848i | 0.988873 | + | 0.148762i | \(0.0475288\pi\) |
−0.826398 | + | 0.563086i | \(0.809614\pi\) | |||||||
\(480\) | −5.71303 | + | 19.4840i | −0.260763 | + | 0.889318i | ||||
\(481\) | 1.95192 | + | 0.445513i | 0.0889998 | + | 0.0203136i | ||||
\(482\) | −12.5908 | + | 32.0810i | −0.573497 | + | 1.46125i | ||||
\(483\) | 3.65168 | − | 7.58055i | 0.166157 | − | 0.344927i | ||||
\(484\) | 38.5636 | + | 98.2585i | 1.75289 | + | 4.46630i | ||||
\(485\) | −3.68705 | − | 24.4620i | −0.167420 | − | 1.11076i | ||||
\(486\) | −26.4407 | − | 24.7762i | −1.19937 | − | 1.12387i | ||||
\(487\) | 1.26841 | − | 3.23184i | 0.0574769 | − | 0.146449i | −0.899251 | − | 0.437433i | \(-0.855888\pi\) |
0.956728 | + | 0.290985i | \(0.0939828\pi\) | |||||||
\(488\) | 4.78682 | − | 4.44152i | 0.216689 | − | 0.201058i | ||||
\(489\) | 3.96290 | + | 9.69656i | 0.179208 | + | 0.438493i | ||||
\(490\) | −37.1770 | − | 15.8140i | −1.67949 | − | 0.714406i | ||||
\(491\) | 36.6568 | − | 21.1638i | 1.65430 | − | 0.955108i | 0.679020 | − | 0.734120i | \(-0.262405\pi\) |
0.975276 | − | 0.220989i | \(-0.0709284\pi\) | |||||||
\(492\) | −13.8380 | − | 6.42735i | −0.623867 | − | 0.289768i | ||||
\(493\) | 16.4713 | − | 13.1354i | 0.741829 | − | 0.591589i | ||||
\(494\) | −2.48113 | + | 3.63915i | −0.111631 | + | 0.163733i | ||||
\(495\) | −38.5763 | − | 29.0374i | −1.73388 | − | 1.30513i | ||||
\(496\) | −4.64421 | − | 3.70363i | −0.208531 | − | 0.166298i | ||||
\(497\) | −3.33302 | + | 6.67866i | −0.149506 | + | 0.299579i | ||||
\(498\) | −0.488418 | − | 34.9415i | −0.0218865 | − | 1.56577i | ||||
\(499\) | −6.53746 | + | 28.6425i | −0.292657 | + | 1.28221i | 0.588155 | + | 0.808748i | \(0.299854\pi\) |
−0.880812 | + | 0.473466i | \(0.843003\pi\) | |||||||
\(500\) | −11.8390 | − | 30.1652i | −0.529454 | − | 1.34903i | ||||
\(501\) | 2.87063 | + | 32.2502i | 0.128250 | + | 1.44083i | ||||
\(502\) | −8.88948 | + | 0.666174i | −0.396757 | + | 0.0297328i | ||||
\(503\) | 8.96602 | + | 39.2827i | 0.399775 | + | 1.75153i | 0.628281 | + | 0.777987i | \(0.283759\pi\) |
−0.228505 | + | 0.973543i | \(0.573384\pi\) | |||||||
\(504\) | 25.3167 | + | 5.41030i | 1.12769 | + | 0.240994i | ||||
\(505\) | −3.62299 | + | 15.8734i | −0.161221 | + | 0.706356i | ||||
\(506\) | −4.12335 | + | 27.3567i | −0.183305 | + | 1.21615i | ||||
\(507\) | 1.35225 | − | 22.2053i | 0.0600557 | − | 0.986174i | ||||
\(508\) | 23.3914 | − | 40.5151i | 1.03783 | − | 1.79757i | ||||
\(509\) | −18.6219 | −0.825402 | −0.412701 | − | 0.910867i | \(-0.635415\pi\) | ||||
−0.412701 | + | 0.910867i | \(0.635415\pi\) | |||||||
\(510\) | −32.8534 | − | 2.00070i | −1.45478 | − | 0.0885924i | ||||
\(511\) | −20.2889 | + | 28.8755i | −0.897527 | + | 1.27738i | ||||
\(512\) | 3.78211 | + | 7.85364i | 0.167147 | + | 0.347085i | ||||
\(513\) | −22.0926 | − | 11.5485i | −0.975414 | − | 0.509880i | ||||
\(514\) | −3.41010 | − | 11.0553i | −0.150413 | − | 0.487627i | ||||
\(515\) | 28.3611 | + | 6.47323i | 1.24974 | + | 0.285245i | ||||
\(516\) | 48.7306 | − | 15.7806i | 2.14525 | − | 0.694703i | ||||
\(517\) | −23.5747 | + | 34.5777i | −1.03681 | + | 1.52073i | ||||
\(518\) | −13.1294 | − | 28.2761i | −0.576873 | − | 1.24238i | ||||
\(519\) | −31.2876 | − | 20.6970i | −1.37338 | − | 0.908496i | ||||
\(520\) | −1.59926 | − | 2.76999i | −0.0701320 | − | 0.121472i | ||||
\(521\) | 5.83362 | + | 10.1041i | 0.255575 | + | 0.442670i | 0.965052 | − | 0.262060i | \(-0.0844018\pi\) |
−0.709476 | + | 0.704729i | \(0.751068\pi\) | |||||||
\(522\) | −8.70904 | + | 43.7615i | −0.381184 | + | 1.91539i | ||||
\(523\) | 6.42076 | − | 2.51996i | 0.280760 | − | 0.110190i | −0.220783 | − | 0.975323i | \(-0.570861\pi\) |
0.501543 | + | 0.865133i | \(0.332766\pi\) | |||||||
\(524\) | 11.7318 | + | 10.8855i | 0.512506 | + | 0.475536i | ||||
\(525\) | −4.81029 | + | 2.31583i | −0.209938 | + | 0.101071i | ||||
\(526\) | 29.9540 | − | 27.7932i | 1.30606 | − | 1.21184i | ||||
\(527\) | −10.9468 | + | 22.7312i | −0.476848 | + | 0.990185i | ||||
\(528\) | −8.66918 | + | 0.771653i | −0.377278 | + | 0.0335819i | ||||
\(529\) | 12.2382 | − | 15.3463i | 0.532097 | − | 0.667228i | ||||
\(530\) | −6.40333 | − | 5.94142i | −0.278143 | − | 0.258079i | ||||
\(531\) | −12.3521 | − | 29.0571i | −0.536036 | − | 1.26097i | ||||
\(532\) | 43.1175 | − | 2.62075i | 1.86938 | − | 0.113624i | ||||
\(533\) | −0.951674 | + | 0.373504i | −0.0412216 | + | 0.0161783i | ||||
\(534\) | −0.166589 | − | 11.9178i | −0.00720900 | − | 0.515733i | ||||
\(535\) | 3.10147 | + | 0.232423i | 0.134088 | + | 0.0100485i | ||||
\(536\) | 0.386603 | + | 2.56495i | 0.0166987 | + | 0.110789i | ||||
\(537\) | −36.3924 | + | 3.23932i | −1.57045 | + | 0.139787i | ||||
\(538\) | −9.83200 | − | 5.67651i | −0.423887 | − | 0.244732i | ||||
\(539\) | −1.27875 | + | 45.3562i | −0.0550796 | + | 1.95363i | ||||
\(540\) | 35.2088 | − | 26.2326i | 1.51515 | − | 1.12887i | ||||
\(541\) | 32.9703 | + | 10.1700i | 1.41750 | + | 0.437242i | 0.906452 | − | 0.422309i | \(-0.138780\pi\) |
0.511051 | + | 0.859550i | \(0.329256\pi\) | |||||||
\(542\) | 35.1154 | + | 44.0333i | 1.50834 | + | 1.89139i | ||||
\(543\) | −14.1190 | − | 3.01559i | −0.605905 | − | 0.129411i | ||||
\(544\) | 12.1537 | − | 9.69221i | 0.521083 | − | 0.415550i | ||||
\(545\) | 25.1910 | + | 3.79693i | 1.07906 | + | 0.162643i | ||||
\(546\) | 3.47633 | − | 2.36953i | 0.148773 | − | 0.101407i | ||||
\(547\) | −0.367258 | + | 0.0553553i | −0.0157028 | + | 0.00236682i | −0.156889 | − | 0.987616i | \(-0.550146\pi\) |
0.141186 | + | 0.989983i | \(0.454908\pi\) | |||||||
\(548\) | −1.96398 | + | 2.11666i | −0.0838969 | + | 0.0904194i | ||||
\(549\) | 5.97453 | − | 0.616078i | 0.254987 | − | 0.0262936i | ||||
\(550\) | 12.8676 | − | 11.9394i | 0.548677 | − | 0.509097i | ||||
\(551\) | 2.29403 | + | 30.6117i | 0.0977289 | + | 1.30410i | ||||
\(552\) | −9.40764 | − | 4.36957i | −0.400416 | − | 0.185981i | ||||
\(553\) | 11.6752 | − | 28.5579i | 0.496481 | − | 1.21441i | ||||
\(554\) | 12.1297 | + | 39.3234i | 0.515340 | + | 1.67069i | ||||
\(555\) | −20.9199 | − | 6.13405i | −0.887999 | − | 0.260376i | ||||
\(556\) | −32.9288 | + | 68.3774i | −1.39649 | + | 2.89985i | ||||
\(557\) | 17.4010 | − | 10.0465i | 0.737303 | − | 0.425682i | −0.0837847 | − | 0.996484i | \(-0.526701\pi\) |
0.821088 | + | 0.570802i | \(0.193367\pi\) | |||||||
\(558\) | −13.3418 | − | 51.7424i | −0.564804 | − | 2.19043i | ||||
\(559\) | 1.48914 | − | 3.09222i | 0.0629838 | − | 0.130787i | ||||
\(560\) | −1.92714 | + | 4.71384i | −0.0814365 | + | 0.199196i | ||||
\(561\) | 11.3886 | + | 35.1682i | 0.480829 | + | 1.48480i | ||||
\(562\) | 33.0178 | − | 15.9005i | 1.39277 | − | 0.670723i | ||||
\(563\) | −0.811390 | − | 0.752860i | −0.0341960 | − | 0.0317293i | 0.662890 | − | 0.748717i | \(-0.269330\pi\) |
−0.697086 | + | 0.716988i | \(0.745520\pi\) | |||||||
\(564\) | −24.1411 | − | 29.4189i | −1.01652 | − | 1.23876i | ||||
\(565\) | 19.7175 | − | 28.9202i | 0.829520 | − | 1.21668i | ||||
\(566\) | 23.6839 | − | 11.4055i | 0.995507 | − | 0.479411i | ||||
\(567\) | 15.6117 | + | 17.9799i | 0.655628 | + | 0.755084i | ||||
\(568\) | 8.29038 | + | 3.99244i | 0.347857 | + | 0.167519i | ||||
\(569\) | 11.5932 | − | 6.69333i | 0.486012 | − | 0.280599i | −0.236907 | − | 0.971532i | \(-0.576134\pi\) |
0.722918 | + | 0.690933i | \(0.242800\pi\) | |||||||
\(570\) | 29.3752 | − | 37.9105i | 1.23039 | − | 1.58789i | ||||
\(571\) | −32.9512 | + | 22.4657i | −1.37896 | + | 0.940162i | −0.379074 | + | 0.925366i | \(0.623757\pi\) |
−0.999891 | + | 0.0147956i | \(0.995290\pi\) | |||||||
\(572\) | −5.43215 | + | 6.81169i | −0.227129 | + | 0.284811i | ||||
\(573\) | −1.75045 | − | 0.658918i | −0.0731260 | − | 0.0275267i | ||||
\(574\) | 13.6729 | + | 8.15313i | 0.570698 | + | 0.340305i | ||||
\(575\) | 2.08548 | − | 0.475997i | 0.0869705 | − | 0.0198504i | ||||
\(576\) | −7.33399 | + | 36.8521i | −0.305583 | + | 1.53550i | ||||
\(577\) | −17.5489 | − | 18.9132i | −0.730570 | − | 0.787368i | 0.253082 | − | 0.967445i | \(-0.418556\pi\) |
−0.983652 | + | 0.180077i | \(0.942365\pi\) | |||||||
\(578\) | −11.1932 | − | 8.92624i | −0.465574 | − | 0.371283i | ||||
\(579\) | −0.454729 | + | 0.0750537i | −0.0188979 | + | 0.00311913i | ||||
\(580\) | −50.3294 | − | 19.7528i | −2.08981 | − | 0.820191i | ||||
\(581\) | −2.03865 | + | 22.8733i | −0.0845774 | + | 0.948946i | ||||
\(582\) | −9.47176 | − | 38.9789i | −0.392617 | − | 1.61573i | ||||
\(583\) | −3.58418 | + | 9.13235i | −0.148442 | + | 0.378223i | ||||
\(584\) | 35.9460 | + | 24.5075i | 1.48745 | + | 1.01413i | ||||
\(585\) | 0.356992 | − | 2.92021i | 0.0147598 | − | 0.120736i | ||||
\(586\) | −13.0898 | + | 42.4362i | −0.540736 | + | 1.75302i | ||||
\(587\) | −5.75513 | + | 9.96817i | −0.237540 | + | 0.411431i | −0.960008 | − | 0.279974i | \(-0.909674\pi\) |
0.722468 | + | 0.691404i | \(0.243008\pi\) | |||||||
\(588\) | −39.2513 | − | 12.7209i | −1.61870 | − | 0.524602i | ||||
\(589\) | −18.3811 | − | 31.8370i | −0.757379 | − | 1.31182i | ||||
\(590\) | 59.2196 | − | 13.5165i | 2.43803 | − | 0.556465i | ||||
\(591\) | 0.354868 | + | 25.3873i | 0.0145973 | + | 1.04429i | ||||
\(592\) | −3.54055 | + | 1.70504i | −0.145516 | + | 0.0700768i | ||||
\(593\) | 10.8794 | − | 1.63980i | 0.446762 | − | 0.0673385i | 0.0781914 | − | 0.996938i | \(-0.475085\pi\) |
0.368570 | + | 0.929600i | \(0.379847\pi\) | |||||||
\(594\) | −66.4798 | − | 41.3530i | −2.72770 | − | 1.69673i | ||||
\(595\) | 21.3405 | + | 3.52482i | 0.874875 | + | 0.144504i | ||||
\(596\) | −5.21005 | − | 34.5664i | −0.213412 | − | 1.41590i | ||||
\(597\) | 21.0981 | + | 7.94191i | 0.863487 | + | 0.325041i | ||||
\(598\) | −1.56916 | + | 0.615851i | −0.0641679 | + | 0.0251840i | ||||
\(599\) | 8.17027 | − | 26.4874i | 0.333828 | − | 1.08224i | −0.620681 | − | 0.784063i | \(-0.713144\pi\) |
0.954509 | − | 0.298181i | \(-0.0963799\pi\) | |||||||
\(600\) | 2.93818 | + | 5.88919i | 0.119951 | + | 0.240425i | ||||
\(601\) | 13.0337 | − | 42.2543i | 0.531657 | − | 1.72359i | −0.147003 | − | 0.989136i | \(-0.546963\pi\) |
0.678660 | − | 0.734453i | \(-0.262561\pi\) | |||||||
\(602\) | −52.2650 | + | 11.1566i | −2.13016 | + | 0.454711i | ||||
\(603\) | −1.13471 | + | 2.09875i | −0.0462089 | + | 0.0854676i | ||||
\(604\) | 3.12468 | + | 7.96156i | 0.127142 | + | 0.323951i | ||||
\(605\) | −69.3861 | − | 33.4146i | −2.82095 | − | 1.35850i | ||||
\(606\) | −3.56956 | + | 26.1582i | −0.145003 | + | 1.06261i | ||||
\(607\) | 2.60165i | 0.105598i | 0.998605 | + | 0.0527989i | \(0.0168142\pi\) | ||||
−0.998605 | + | 0.0527989i | \(0.983186\pi\) | |||||||
\(608\) | 1.69269 | + | 22.5874i | 0.0686478 | + | 0.916041i | ||||
\(609\) | 8.64599 | − | 28.0181i | 0.350353 | − | 1.13535i | ||||
\(610\) | −0.863506 | + | 11.5227i | −0.0349623 | + | 0.466540i | ||||
\(611\) | −2.54279 | − | 0.190556i | −0.102870 | − | 0.00770908i | ||||
\(612\) | −33.6022 | + | 0.939578i | −1.35829 | + | 0.0379802i | ||||
\(613\) | −5.49898 | + | 1.69621i | −0.222102 | + | 0.0685093i | −0.403809 | − | 0.914843i | \(-0.632314\pi\) |
0.181707 | + | 0.983353i | \(0.441838\pi\) | |||||||
\(614\) | 7.32279 | + | 4.99260i | 0.295524 | + | 0.201485i | ||||
\(615\) | 10.5906 | − | 3.42960i | 0.427056 | − | 0.138295i | ||||
\(616\) | 55.9307 | + | 0.788283i | 2.25351 | + | 0.0317608i | ||||
\(617\) | 7.60983 | − | 0.570278i | 0.306360 | − | 0.0229585i | 0.0793369 | − | 0.996848i | \(-0.474720\pi\) |
0.227023 | + | 0.973889i | \(0.427101\pi\) | |||||||
\(618\) | 46.7371 | + | 6.37775i | 1.88004 | + | 0.256551i | ||||
\(619\) | 19.8701i | 0.798648i | 0.916810 | + | 0.399324i | \(0.130755\pi\) | ||||
−0.916810 | + | 0.399324i | \(0.869245\pi\) | |||||||
\(620\) | 64.5673 | − | 4.83865i | 2.59308 | − | 0.194325i | ||||
\(621\) | −4.49633 | − | 8.41493i | −0.180431 | − | 0.337680i | ||||
\(622\) | 57.9152 | + | 13.2188i | 2.32219 | + | 0.530024i | ||||
\(623\) | −0.695339 | + | 7.80161i | −0.0278582 | + | 0.312565i | ||||
\(624\) | −0.304828 | − | 0.433943i | −0.0122029 | − | 0.0173716i | ||||
\(625\) | 26.5496 | + | 12.7856i | 1.06198 | + | 0.511424i | ||||
\(626\) | 16.7003 | + | 5.15137i | 0.667480 | + | 0.205890i | ||||
\(627\) | −51.6873 | − | 15.1556i | −2.06419 | − | 0.605256i | ||||
\(628\) | −2.36081 | − | 7.65357i | −0.0942068 | − | 0.305411i | ||||
\(629\) | 10.4065 | + | 13.0493i | 0.414934 | + | 0.520311i | ||||
\(630\) | −39.3514 | + | 23.4528i | −1.56780 | + | 0.934380i | ||||
\(631\) | 22.6144 | − | 28.3576i | 0.900266 | − | 1.12890i | −0.0908453 | − | 0.995865i | \(-0.528957\pi\) |
0.991112 | − | 0.133033i | \(-0.0424717\pi\) | |||||||
\(632\) | −35.4049 | − | 13.8954i | −1.40833 | − | 0.552729i | ||||
\(633\) | −40.4541 | + | 13.1004i | −1.60791 | + | 0.520694i | ||||
\(634\) | 56.2722 | − | 8.48167i | 2.23485 | − | 0.336850i | ||||
\(635\) | 7.59523 | + | 33.2769i | 0.301408 | + | 1.32055i | ||||
\(636\) | −7.05195 | − | 5.46426i | −0.279628 | − | 0.216672i | ||||
\(637\) | −2.43229 | + | 1.31432i | −0.0963710 | + | 0.0520751i | ||||
\(638\) | 96.4087i | 3.81686i | ||||||||
\(639\) | 3.88390 | + | 7.51977i | 0.153645 | + | 0.297478i | ||||
\(640\) | −45.4663 | − | 17.8442i | −1.79721 | − | 0.705354i | ||||
\(641\) | −13.5029 | − | 28.0391i | −0.533332 | − | 1.10748i | −0.977384 | − | 0.211475i | \(-0.932173\pi\) |
0.444051 | − | 0.896001i | \(-0.353541\pi\) | |||||||
\(642\) | 5.04266 | − | 0.0704870i | 0.199018 | − | 0.00278190i | ||||
\(643\) | 1.70086 | − | 11.2845i | 0.0670755 | − | 0.445017i | −0.929933 | − | 0.367728i | \(-0.880136\pi\) |
0.997009 | − | 0.0772885i | \(-0.0246262\pi\) | |||||||
\(644\) | 14.1996 | + | 8.46719i | 0.559544 | + | 0.333654i | ||||
\(645\) | −18.2316 | + | 32.6227i | −0.717868 | + | 1.28452i | ||||
\(646\) | −35.0868 | + | 10.8228i | −1.38047 | + | 0.425819i | ||||
\(647\) | 21.7393 | + | 3.27666i | 0.854658 | + | 0.128819i | 0.561735 | − | 0.827317i | \(-0.310134\pi\) |
0.292923 | + | 0.956136i | \(0.405372\pi\) | |||||||
\(648\) | 21.8918 | − | 19.5562i | 0.859989 | − | 0.768238i | ||||
\(649\) | −38.4298 | − | 56.3662i | −1.50850 | − | 2.21257i | ||||
\(650\) | 1.02203 | + | 0.315254i | 0.0400873 | + | 0.0123653i | ||||
\(651\) | 5.22955 | + | 34.7230i | 0.204962 | + | 1.36090i | ||||
\(652\) | −19.6673 | + | 6.06656i | −0.770231 | + | 0.237585i | ||||
\(653\) | 19.8740 | + | 15.8490i | 0.777730 | + | 0.620219i | 0.929764 | − | 0.368157i | \(-0.120011\pi\) |
−0.152034 | + | 0.988375i | \(0.548582\pi\) | |||||||
\(654\) | 41.2323 | + | 2.51095i | 1.61231 | + | 0.0981859i | ||||
\(655\) | −11.6765 | −0.456240 | ||||||||
\(656\) | 1.00332 | − | 1.73780i | 0.0391731 | − | 0.0678498i | ||||
\(657\) | 12.8591 | + | 37.8935i | 0.501680 | + | 1.47836i | ||||
\(658\) | 21.9025 | + | 33.1184i | 0.853848 | + | 1.29109i | ||||
\(659\) | −14.3171 | − | 1.07292i | −0.557716 | − | 0.0417951i | −0.207109 | − | 0.978318i | \(-0.566406\pi\) |
−0.350607 | + | 0.936523i | \(0.614025\pi\) | |||||||
\(660\) | 63.5486 | − | 70.4386i | 2.47363 | − | 2.74182i | ||||
\(661\) | −16.6237 | + | 17.9160i | −0.646585 | + | 0.696853i | −0.968245 | − | 0.250002i | \(-0.919569\pi\) |
0.321660 | + | 0.946855i | \(0.395759\pi\) | |||||||
\(662\) | −26.9484 | + | 29.0434i | −1.04738 | + | 1.12881i | ||||
\(663\) | −1.50878 | + | 1.67236i | −0.0585962 | + | 0.0649492i | ||||
\(664\) | 28.2304 | + | 2.11557i | 1.09555 | + | 0.0821001i | ||||
\(665\) | −21.7601 | + | 22.7988i | −0.843821 | + | 0.884101i | ||||
\(666\) | −34.6699 | − | 6.89971i | −1.34343 | − | 0.267358i | ||||
\(667\) | −5.87430 | + | 10.1746i | −0.227454 | + | 0.393962i | ||||
\(668\) | −63.6164 | −2.46139 | ||||||||
\(669\) | 17.1028 | + | 1.04152i | 0.661231 | + | 0.0402674i | ||||
\(670\) | −3.58861 | − | 2.86182i | −0.138640 | − | 0.110562i | ||||
\(671\) | 12.4009 | − | 3.82518i | 0.478732 | − | 0.147669i | ||||
\(672\) | 6.37961 | − | 20.6737i | 0.246099 | − | 0.797505i | ||||
\(673\) | 25.8385 | + | 7.97012i | 0.996000 | + | 0.307225i | 0.749563 | − | 0.661933i | \(-0.230264\pi\) |
0.246438 | + | 0.969159i | \(0.420740\pi\) | |||||||
\(674\) | −7.02971 | − | 10.3107i | −0.270774 | − | 0.397153i | ||||
\(675\) | −1.09846 | + | 5.95305i | −0.0422796 | + | 0.229133i | ||||
\(676\) | 43.2221 | + | 6.51468i | 1.66239 | + | 0.250565i | ||||
\(677\) | −2.04272 | + | 0.630097i | −0.0785083 | + | 0.0242166i | −0.333761 | − | 0.942658i | \(-0.608318\pi\) |
0.255252 | + | 0.966875i | \(0.417841\pi\) | |||||||
\(678\) | 27.6884 | − | 49.5442i | 1.06337 | − | 1.90273i | ||||
\(679\) | 3.56109 | + | 26.1187i | 0.136662 | + | 1.00235i | ||||
\(680\) | 3.97414 | − | 26.3667i | 0.152401 | − | 1.01112i | ||||
\(681\) | 19.2904 | − | 0.269644i | 0.739209 | − | 0.0103328i | ||||
\(682\) | −50.0942 | − | 104.022i | −1.91821 | − | 3.98320i | ||||
\(683\) | 38.3570 | + | 15.0540i | 1.46769 | + | 0.576027i | 0.958618 | − | 0.284696i | \(-0.0918928\pi\) |
0.509074 | + | 0.860723i | \(0.329988\pi\) | |||||||
\(684\) | 26.4500 | − | 41.2253i | 1.01134 | − | 1.57629i | ||||
\(685\) | − | 2.10669i | − | 0.0804925i | ||||||
\(686\) | 39.3734 | + | 17.4076i | 1.50328 | + | 0.664625i | ||||
\(687\) | −5.25403 | − | 4.07112i | −0.200454 | − | 0.155323i | ||||
\(688\) | 1.49901 | + | 6.56759i | 0.0571492 | + | 0.250387i | ||||
\(689\) | −0.591085 | + | 0.0890917i | −0.0225185 | + | 0.00339412i | ||||
\(690\) | 17.4623 | − | 5.65489i | 0.664779 | − | 0.215278i | ||||
\(691\) | −5.23088 | − | 2.05297i | −0.198992 | − | 0.0780987i | 0.263752 | − | 0.964591i | \(-0.415040\pi\) |
−0.462744 | + | 0.886492i | \(0.653135\pi\) | |||||||
\(692\) | 45.9560 | − | 57.6270i | 1.74699 | − | 2.19065i | ||||
\(693\) | 40.6656 | + | 31.5176i | 1.54476 | + | 1.19726i | ||||
\(694\) | 9.92736 | + | 12.4485i | 0.376838 | + | 0.472539i | ||||
\(695\) | −16.3210 | − | 52.9115i | −0.619092 | − | 2.00705i | ||||
\(696\) | −34.6868 | − | 10.1708i | −1.31480 | − | 0.385522i | ||||
\(697\) | −8.14417 | − | 2.51214i | −0.308482 | − | 0.0951542i | ||||
\(698\) | 12.2491 | + | 5.89887i | 0.463636 | + | 0.223275i | ||||
\(699\) | −16.1532 | − | 22.9951i | −0.610969 | − | 0.869755i | ||||
\(700\) | −3.69430 | − | 9.81755i | −0.139632 | − | 0.371069i | ||||
\(701\) | −4.86749 | − | 1.11097i | −0.183842 | − | 0.0419608i | 0.129608 | − | 0.991565i | \(-0.458628\pi\) |
−0.313451 | + | 0.949604i | \(0.601485\pi\) | |||||||
\(702\) | 0.156765 | − | 4.76781i | 0.00591672 | − | 0.179949i | ||||
\(703\) | −24.2520 | + | 1.81744i | −0.914682 | + | 0.0685460i | ||||
\(704\) | 81.1869i | 3.05985i | ||||||||
\(705\) | 27.5106 | + | 3.75411i | 1.03611 | + | 0.141388i | ||||
\(706\) | 41.2335 | − | 3.09002i | 1.55184 | − | 0.116295i | ||||
\(707\) | 4.09854 | − | 16.8581i | 0.154141 | − | 0.634015i | ||||
\(708\) | 59.0188 | − | 19.1123i | 2.21806 | − | 0.718284i | ||||
\(709\) | 31.0024 | + | 21.1371i | 1.16432 | + | 0.793820i | 0.981900 | − | 0.189400i | \(-0.0606543\pi\) |
0.182421 | + | 0.983221i | \(0.441607\pi\) | |||||||
\(710\) | −15.5591 | + | 4.79936i | −0.583924 | + | 0.180117i | ||||
\(711\) | −18.3316 | − | 29.7956i | −0.687488 | − | 1.11742i | ||||
\(712\) | 9.62877 | + | 0.721576i | 0.360853 | + | 0.0270422i | ||||
\(713\) | 1.05143 | − | 14.0303i | 0.0393763 | − | 0.525440i | ||||
\(714\) | 34.9742 | + | 2.62502i | 1.30887 | + | 0.0982390i | ||||
\(715\) | −0.475030 | − | 6.33883i | −0.0177651 | − | 0.237059i | ||||
\(716\) | − | 71.7872i | − | 2.68281i | ||||||
\(717\) | −1.03800 | + | 7.60663i | −0.0387649 | + | 0.284075i | ||||
\(718\) | −33.9149 | − | 16.3326i | −1.26569 | − | 0.609526i | ||||
\(719\) | −12.2770 | − | 31.2814i | −0.457856 | − | 1.16660i | −0.954385 | − | 0.298578i | \(-0.903488\pi\) |
0.496529 | − | 0.868020i | \(-0.334607\pi\) | |||||||
\(720\) | 3.02586 | + | 4.91814i | 0.112767 | + | 0.183288i | ||||
\(721\) | −30.1205 | − | 7.32289i | −1.12175 | − | 0.272719i | ||||
\(722\) | 2.75210 | − | 8.92210i | 0.102423 | − | 0.332046i | ||||
\(723\) | −11.4644 | − | 22.9788i | −0.426365 | − | 0.854590i | ||||
\(724\) | 8.36132 | − | 27.1067i | 0.310746 | − | 1.00741i | ||||
\(725\) | 6.93904 | − | 2.72337i | 0.257709 | − | 0.101143i | ||||
\(726\) | −116.871 | − | 43.9934i | −4.33748 | − | 1.63275i | ||||
\(727\) | 0.196917 | + | 1.30646i | 0.00730323 | + | 0.0484538i | 0.992186 | − | 0.124771i | \(-0.0398195\pi\) |
−0.984882 | + | 0.173224i | \(0.944581\pi\) | |||||||
\(728\) | 1.66235 | + | 2.97534i | 0.0616110 | + | 0.110274i | ||||
\(729\) | 26.9051 | − | 2.26166i | 0.996486 | − | 0.0837652i | ||||
\(730\) | −76.1244 | + | 11.4739i | −2.81749 | + | 0.424668i | ||||
\(731\) | 25.7784 | − | 12.4142i | 0.953450 | − | 0.459157i | ||||
\(732\) | 0.164942 | + | 11.8000i | 0.00609642 | + | 0.436139i | ||||
\(733\) | −11.8581 | + | 2.70652i | −0.437987 | + | 0.0999677i | −0.435828 | − | 0.900030i | \(-0.643544\pi\) |
−0.00215919 | + | 0.999998i | \(0.500687\pi\) | |||||||
\(734\) | 9.39380 | + | 16.2705i | 0.346731 | + | 0.600556i | ||||
\(735\) | 27.3057 | − | 12.6750i | 1.00719 | − | 0.467524i | ||||
\(736\) | −4.33447 | + | 7.50752i | −0.159771 | + | 0.276731i | ||||
\(737\) | −1.51948 | + | 4.92604i | −0.0559708 | + | 0.181453i | ||||
\(738\) | 16.6121 | − | 7.06176i | 0.611499 | − | 0.259947i | ||||
\(739\) | −23.0715 | − | 15.7299i | −0.848699 | − | 0.578633i | 0.0589988 | − | 0.998258i | \(-0.481209\pi\) |
−0.907698 | + | 0.419625i | \(0.862162\pi\) | |||||||
\(740\) | 15.6491 | − | 39.8733i | 0.575273 | − | 1.46577i | ||||
\(741\) | −0.774950 | − | 3.18913i | −0.0284685 | − | 0.117156i | ||||
\(742\) | 6.73331 | + | 6.42653i | 0.247187 | + | 0.235925i | ||||
\(743\) | 24.9555 | + | 9.79432i | 0.915529 | + | 0.359319i | 0.775879 | − | 0.630882i | \(-0.217307\pi\) |
0.139650 | + | 0.990201i | \(0.455402\pi\) | |||||||
\(744\) | 42.7107 | − | 7.04947i | 1.56585 | − | 0.258446i | ||||
\(745\) | 19.9402 | + | 15.9018i | 0.730552 | + | 0.582596i | ||||
\(746\) | 35.4608 | + | 38.2177i | 1.29831 | + | 1.39925i | ||||
\(747\) | 19.5753 | + | 17.1704i | 0.716224 | + | 0.628232i | ||||
\(748\) | −70.8109 | + | 16.1621i | −2.58910 | + | 0.590946i | ||||
\(749\) | −3.30102 | − | 0.294212i | −0.120617 | − | 0.0107503i | ||||
\(750\) | 35.8790 | + | 13.5059i | 1.31012 | + | 0.493165i | ||||
\(751\) | 13.3889 | − | 16.7892i | 0.488569 | − | 0.612647i | −0.475039 | − | 0.879965i | \(-0.657566\pi\) |
0.963608 | + | 0.267318i | \(0.0861374\pi\) | |||||||
\(752\) | 4.13528 | − | 2.81939i | 0.150798 | − | 0.102813i | ||||
\(753\) | 4.06851 | − | 5.25066i | 0.148265 | − | 0.191345i | ||||
\(754\) | −5.08725 | + | 2.93713i | −0.185267 | + | 0.106964i | ||||
\(755\) | −5.62213 | − | 2.70747i | −0.204610 | − | 0.0985351i | ||||
\(756\) | −37.9077 | + | 27.4212i | −1.37869 | + | 0.997299i | ||||
\(757\) | 43.9870 | − | 21.1830i | 1.59874 | − | 0.769911i | 0.599207 | − | 0.800594i | \(-0.295483\pi\) |
0.999529 | + | 0.0306836i | \(0.00976844\pi\) | |||||||
\(758\) | −8.37112 | + | 12.2782i | −0.304053 | + | 0.445964i | ||||
\(759\) | −13.0771 | − | 15.9360i | −0.474668 | − | 0.578441i | ||||
\(760\) | 28.4811 | + | 26.4266i | 1.03312 | + | 0.958595i | ||||
\(761\) | 23.4497 | − | 11.2928i | 0.850052 | − | 0.409363i | 0.0424551 | − | 0.999098i | \(-0.486482\pi\) |
0.807597 | + | 0.589735i | \(0.200768\pi\) | |||||||
\(762\) | 17.0512 | + | 52.6542i | 0.617700 | + | 1.90746i | ||||
\(763\) | −26.7831 | − | 4.42378i | −0.969613 | − | 0.160151i | ||||
\(764\) | 1.59449 | − | 3.31099i | 0.0576865 | − | 0.119787i | ||||
\(765\) | 17.5053 | − | 17.1777i | 0.632906 | − | 0.621061i | ||||
\(766\) | −8.02687 | + | 4.63431i | −0.290022 | + | 0.167445i | ||||
\(767\) | 1.80353 | − | 3.74507i | 0.0651216 | − | 0.135226i | ||||
\(768\) | −34.3640 | − | 10.0761i | −1.24001 | − | 0.363590i | ||||
\(769\) | 3.35142 | + | 10.8650i | 0.120855 | + | 0.391803i | 0.995704 | − | 0.0925932i | \(-0.0295156\pi\) |
−0.874849 | + | 0.484396i | \(0.839039\pi\) | |||||||
\(770\) | −73.4996 | + | 66.2949i | −2.64874 | + | 2.38910i | ||||
\(771\) | 7.81849 | + | 3.63145i | 0.281576 | + | 0.130784i | ||||
\(772\) | −0.0676717 | − | 0.903016i | −0.00243556 | − | 0.0325003i | ||||
\(773\) | −21.4280 | + | 19.8823i | −0.770713 | + | 0.715117i | −0.963964 | − | 0.266032i | \(-0.914287\pi\) |
0.193251 | + | 0.981149i | \(0.438097\pi\) | |||||||
\(774\) | −24.7562 | + | 55.3106i | −0.889844 | + | 1.98810i | ||||
\(775\) | −6.07191 | + | 6.54397i | −0.218110 | + | 0.235066i | ||||
\(776\) | 32.1335 | − | 4.84335i | 1.15353 | − | 0.173866i | ||||
\(777\) | 22.1973 | + | 6.84976i | 0.796322 | + | 0.245734i | ||||
\(778\) | −61.9665 | − | 9.33995i | −2.22161 | − | 0.334853i | ||||
\(779\) | 9.70924 | − | 7.74286i | 0.347870 | − | 0.277417i | ||||
\(780\) | 5.65290 | + | 1.20737i | 0.202406 | + | 0.0432308i | ||||
\(781\) | 11.4018 | + | 14.2973i | 0.407987 | + | 0.511599i | ||||
\(782\) | −13.4285 | − | 4.14214i | −0.480201 | − | 0.148123i | ||||
\(783\) | −19.8642 | − | 26.6613i | −0.709890 | − | 0.952799i | ||||
\(784\) | 2.12409 | − | 4.99349i | 0.0758602 | − | 0.178339i | ||||
\(785\) | 5.06075 | + | 2.92182i | 0.180626 | + | 0.104284i | ||||
\(786\) | −18.8590 | + | 1.67866i | −0.672677 | + | 0.0598757i | ||||
\(787\) | −1.64145 | − | 10.8903i | −0.0585113 | − | 0.388197i | −0.998849 | − | 0.0479560i | \(-0.984729\pi\) |
0.940338 | − | 0.340241i | \(-0.110509\pi\) | |||||||
\(788\) | −49.7469 | − | 3.72801i | −1.77216 | − | 0.132805i | ||||
\(789\) | 0.425563 | + | 30.4449i | 0.0151505 | + | 1.08387i | ||||
\(790\) | 62.6499 | − | 24.5883i | 2.22898 | − | 0.874811i | ||||
\(791\) | −21.4426 | + | 30.5174i | −0.762409 | + | 1.08507i | ||||
\(792\) | 38.1439 | − | 50.6742i | 1.35538 | − | 1.80063i | ||||
\(793\) | 0.579644 | + | 0.537831i | 0.0205838 | + | 0.0190989i | ||||
\(794\) | −22.0471 | + | 27.6462i | −0.782422 | + | 0.981126i | ||||
\(795\) | 6.48327 | − | 0.577082i | 0.229938 | − | 0.0204670i | ||||
\(796\) | −19.2183 | + | 39.9072i | −0.681174 | + | 1.41447i | ||||
\(797\) | −8.57919 | + | 7.96032i | −0.303890 | + | 0.281969i | −0.817346 | − | 0.576147i | \(-0.804556\pi\) |
0.513456 | + | 0.858116i | \(0.328365\pi\) | |||||||
\(798\) | −31.8675 | + | 39.9512i | −1.12810 | + | 1.41426i | ||||
\(799\) | −15.5829 | − | 14.4588i | −0.551283 | − | 0.511516i | ||||
\(800\) | 5.12010 | − | 2.00949i | 0.181023 | − | 0.0710463i | ||||
\(801\) | 6.67673 | + | 5.85646i | 0.235910 | + | 0.206928i | ||||
\(802\) | −44.2517 | − | 76.6463i | −1.56258 | − | 2.70647i | ||||
\(803\) | 43.2307 | + | 74.8777i | 1.52558 | + | 2.64238i | ||||
\(804\) | −3.90975 | − | 2.58632i | −0.137886 | − | 0.0912126i | ||||
\(805\) | −11.7963 | + | 2.51807i | −0.415765 | + | 0.0887503i | ||||
\(806\) | 3.96283 | − | 5.81241i | 0.139585 | − | 0.204733i | ||||
\(807\) | 8.04808 | − | 2.60624i | 0.283306 | − | 0.0917439i | ||||
\(808\) | −20.8514 | − | 4.75921i | −0.733551 | − | 0.167428i | ||||
\(809\) | −0.0144668 | − | 0.0469002i | −0.000508626 | − | 0.00164892i | 0.955318 | − | 0.295580i | \(-0.0955127\pi\) |
−0.955827 | + | 0.293931i | \(0.905037\pi\) | |||||||
\(810\) | −4.85953 | + | 51.7159i | −0.170746 | + | 1.81711i | ||||
\(811\) | −17.9558 | − | 37.2855i | −0.630512 | − | 1.30927i | −0.934285 | − | 0.356527i | \(-0.883961\pi\) |
0.303773 | − | 0.952744i | \(-0.401753\pi\) | |||||||
\(812\) | 53.3276 | + | 21.8017i | 1.87143 | + | 0.765090i | ||||
\(813\) | −41.8891 | − | 2.55095i | −1.46911 | − | 0.0894656i | ||||
\(814\) | −76.3795 | −2.67710 | ||||||||
\(815\) | 7.50818 | − | 13.0045i | 0.263000 | − | 0.455529i | ||||
\(816\) | 0.268727 | − | 4.41276i | 0.00940732 | − | 0.154477i | ||||
\(817\) | −6.21363 | + | 41.2247i | −0.217387 | + | 1.44227i | ||||
\(818\) | −2.19458 | + | 9.61509i | −0.0767318 | + | 0.336184i | ||||
\(819\) | −0.424214 | + | 3.10602i | −0.0148232 | + | 0.108533i | ||||
\(820\) | 4.86710 | + | 21.3242i | 0.169967 | + | 0.744673i | ||||
\(821\) | 20.2362 | − | 1.51649i | 0.706249 | − | 0.0529260i | 0.283237 | − | 0.959050i | \(-0.408592\pi\) |
0.423012 | + | 0.906124i | \(0.360973\pi\) | |||||||
\(822\) | −0.302865 | − | 3.40255i | −0.0105636 | − | 0.118678i | ||||
\(823\) | −5.27812 | − | 13.4484i | −0.183984 | − | 0.468783i | 0.808889 | − | 0.587961i | \(-0.200069\pi\) |
−0.992873 | + | 0.119178i | \(0.961974\pi\) | |||||||
\(824\) | −8.50331 | + | 37.2554i | −0.296227 | + | 1.29785i | ||||
\(825\) | 0.182813 | + | 13.0785i | 0.00636473 | + | 0.455334i | ||||
\(826\) | −63.2994 | + | 13.5121i | −2.20247 | + | 0.470145i | ||||
\(827\) | −30.7684 | − | 24.5370i | −1.06992 | − | 0.853234i | −0.0802773 | − | 0.996773i | \(-0.525581\pi\) |
−0.989645 | + | 0.143538i | \(0.954152\pi\) | |||||||
\(828\) | 17.2520 | − | 7.33378i | 0.599548 | − | 0.254866i | ||||
\(829\) | −6.19179 | + | 9.08168i | −0.215050 | + | 0.315420i | −0.918572 | − | 0.395253i | \(-0.870657\pi\) |
0.703523 | + | 0.710673i | \(0.251609\pi\) | |||||||
\(830\) | −39.1654 | + | 31.2334i | −1.35945 | + | 1.08413i | ||||
\(831\) | −27.8102 | − | 12.9170i | −0.964727 | − | 0.448086i | ||||
\(832\) | −4.28404 | + | 2.47339i | −0.148522 | + | 0.0857493i | ||||
\(833\) | −22.6846 | − | 4.07603i | −0.785975 | − | 0.141226i | ||||
\(834\) | −33.9671 | − | 83.1119i | −1.17619 | − | 2.87793i | ||||
\(835\) | 34.0242 | − | 31.5698i | 1.17745 | − | 1.09252i | ||||
\(836\) | 38.6648 | − | 98.5162i | 1.33725 | − | 3.40725i | ||||
\(837\) | 35.2861 | + | 18.4452i | 1.21967 | + | 0.637558i | ||||
\(838\) | 4.37285 | + | 29.0119i | 0.151057 | + | 1.00220i | ||||
\(839\) | −8.95014 | − | 22.8046i | −0.308993 | − | 0.787302i | −0.998040 | − | 0.0625845i | \(-0.980066\pi\) |
0.689047 | − | 0.724717i | \(-0.258030\pi\) | |||||||
\(840\) | −16.0983 | − | 33.4383i | −0.555443 | − | 1.15373i | ||||
\(841\) | −4.36264 | + | 11.1158i | −0.150436 | + | 0.383304i | ||||
\(842\) | −70.4562 | − | 16.0812i | −2.42808 | − | 0.554194i | ||||
\(843\) | −7.68339 | + | 26.2038i | −0.264630 | + | 0.902506i | ||||
\(844\) | −18.5914 | − | 81.4542i | −0.639942 | − | 2.80377i | ||||
\(845\) | −26.3495 | + | 17.9648i | −0.906452 | + | 0.618008i | ||||
\(846\) | 44.9727 | + | 2.10830i | 1.54619 | + | 0.0724849i | ||||
\(847\) | 73.4267 | + | 36.6440i | 2.52297 | + | 1.25910i | ||||
\(848\) | 0.798031 | − | 0.860072i | 0.0274045 | − | 0.0295350i | ||||
\(849\) | −5.51135 | + | 18.7962i | −0.189149 | + | 0.645083i | ||||
\(850\) | 5.02274 | + | 7.36700i | 0.172278 | + | 0.252686i | ||||
\(851\) | −8.06079 | − | 4.65390i | −0.276320 | − | 0.159534i | ||||
\(852\) | −15.3934 | + | 6.29115i | −0.527369 | + | 0.215531i | ||||
\(853\) | −3.39775 | − | 4.98358i | −0.116337 | − | 0.170635i | 0.763654 | − | 0.645626i | \(-0.223404\pi\) |
−0.879990 | + | 0.474992i | \(0.842451\pi\) | |||||||
\(854\) | 1.09307 | − | 12.2641i | 0.0374040 | − | 0.419667i | ||||
\(855\) | 6.31185 | + | 35.1745i | 0.215861 | + | 1.20294i | ||||
\(856\) | −0.305313 | + | 4.07412i | −0.0104354 | + | 0.139251i | ||||
\(857\) | 8.61403 | − | 37.7405i | 0.294250 | − | 1.28919i | −0.584299 | − | 0.811539i | \(-0.698630\pi\) |
0.878548 | − | 0.477654i | \(-0.158513\pi\) | |||||||
\(858\) | −1.67852 | − | 10.1697i | −0.0573038 | − | 0.347187i | ||||
\(859\) | 4.04164 | + | 8.39256i | 0.137899 | + | 0.286350i | 0.958469 | − | 0.285195i | \(-0.0920584\pi\) |
−0.820570 | + | 0.571545i | \(0.806344\pi\) | |||||||
\(860\) | −60.6693 | − | 41.3636i | −2.06881 | − | 1.41049i | ||||
\(861\) | −11.3354 | + | 3.49509i | −0.386311 | + | 0.119112i | ||||
\(862\) | 14.4041 | − | 9.82054i | 0.490605 | − | 0.334489i | ||||
\(863\) | 24.6534 | + | 14.2336i | 0.839211 | + | 0.484519i | 0.856996 | − | 0.515323i | \(-0.172328\pi\) |
−0.0177849 | + | 0.999842i | \(0.505661\pi\) | |||||||
\(864\) | −14.6572 | − | 19.6726i | −0.498648 | − | 0.669275i | ||||
\(865\) | 4.01876 | + | 53.6266i | 0.136642 | + | 1.82336i | ||||
\(866\) | −25.2658 | − | 3.80821i | −0.858568 | − | 0.129408i | ||||
\(867\) | 10.5254 | − | 1.73724i | 0.357462 | − | 0.0589997i | ||||
\(868\) | −68.8668 | + | 4.18583i | −2.33749 | + | 0.142076i | ||||
\(869\) | −51.4125 | − | 55.4095i | −1.74405 | − | 1.87964i | ||||
\(870\) | 57.2356 | − | 28.5555i | 1.94047 | − | 0.968122i | ||||
\(871\) | −0.306226 | + | 0.0698942i | −0.0103761 | + | 0.00236827i | ||||
\(872\) | −4.98769 | + | 33.0911i | −0.168904 | + | 1.12061i | ||||
\(873\) | 26.2930 | + | 14.2156i | 0.889883 | + | 0.481124i | ||||
\(874\) | 16.0090 | − | 12.7668i | 0.541514 | − | 0.431843i | ||||
\(875\) | −22.5418 | − | 11.2496i | −0.762054 | − | 0.380307i | ||||
\(876\) | −76.4007 | + | 18.5651i | −2.58134 | + | 0.627257i | ||||
\(877\) | 18.9939 | + | 23.8177i | 0.641380 | + | 0.804265i | 0.991175 | − | 0.132561i | \(-0.0423201\pi\) |
−0.349795 | + | 0.936826i | \(0.613749\pi\) | |||||||
\(878\) | 3.59671 | − | 47.9948i | 0.121383 | − | 1.61974i | ||||
\(879\) | −16.9444 | − | 28.4235i | −0.571520 | − | 0.958702i | ||||
\(880\) | 8.48628 | + | 9.14603i | 0.286072 | + | 0.308313i | ||||
\(881\) | −47.7427 | −1.60849 | −0.804246 | − | 0.594297i | \(-0.797430\pi\) | ||||
−0.804246 | + | 0.594297i | \(0.797430\pi\) | |||||||
\(882\) | 42.2797 | − | 24.3972i | 1.42363 | − | 0.821495i | ||||
\(883\) | −49.6123 | −1.66959 | −0.834793 | − | 0.550564i | \(-0.814413\pi\) | ||||
−0.834793 | + | 0.550564i | \(0.814413\pi\) | |||||||
\(884\) | −3.01012 | − | 3.24413i | −0.101241 | − | 0.109112i | ||||
\(885\) | −22.0807 | + | 39.5101i | −0.742235 | + | 1.32812i | ||||
\(886\) | 1.46683 | − | 19.5735i | 0.0492791 | − | 0.657583i | ||||
\(887\) | 22.3781 | + | 28.0612i | 0.751381 | + | 0.942203i | 0.999649 | − | 0.0264889i | \(-0.00843266\pi\) |
−0.248268 | + | 0.968691i | \(0.579861\pi\) | |||||||
\(888\) | 8.05776 | − | 27.4806i | 0.270401 | − | 0.922187i | ||||
\(889\) | −7.59275 | − | 35.5694i | −0.254653 | − | 1.19296i | ||||
\(890\) | −13.3585 | + | 10.6530i | −0.447778 | + | 0.357091i | ||||
\(891\) | 56.0614 | − | 16.1394i | 1.87813 | − | 0.540691i | ||||
\(892\) | −5.01767 | + | 33.2900i | −0.168004 | + | 1.11463i | ||||
\(893\) | 30.1978 | − | 6.89244i | 1.01053 | − | 0.230647i | ||||
\(894\) | 34.4919 | + | 22.8166i | 1.15358 | + | 0.763100i | ||||
\(895\) | 35.6246 | + | 38.3941i | 1.19080 | + | 1.28337i | ||||
\(896\) | 48.1747 | + | 19.6951i | 1.60941 | + | 0.657967i | ||||
\(897\) | 0.442507 | − | 1.17554i | 0.0147749 | − | 0.0392502i | ||||
\(898\) | 48.8659 | + | 7.36535i | 1.63068 | + | 0.245785i | ||||
\(899\) | −3.66400 | − | 48.8926i | −0.122201 | − | 1.63066i | ||||
\(900\) | −11.4592 | − | 3.18680i | −0.381975 | − | 0.106227i | ||||
\(901\) | −4.31563 | − | 2.49163i | −0.143774 | − | 0.0830082i | ||||
\(902\) | 32.2248 | − | 21.9705i | 1.07297 | − | 0.731538i | ||||
\(903\) | 19.9150 | − | 34.4846i | 0.662730 | − | 1.14757i | ||||
\(904\) | 37.9899 | + | 25.9011i | 1.26353 | + | 0.861457i | ||||
\(905\) | 8.97987 | + | 18.6469i | 0.298501 | + | 0.619844i | ||||
\(906\) | −9.46964 | − | 3.56464i | −0.314608 | − | 0.118427i | ||||
\(907\) | −3.74176 | + | 16.3937i | −0.124243 | + | 0.544344i | 0.874045 | + | 0.485846i | \(0.161488\pi\) |
−0.998288 | + | 0.0584981i | \(0.981369\pi\) | |||||||
\(908\) | −2.83270 | + | 37.7998i | −0.0940066 | + | 1.25443i | ||||
\(909\) | −12.6905 | − | 15.0315i | −0.420916 | − | 0.498562i | ||||
\(910\) | −5.73741 | − | 1.85870i | −0.190193 | − | 0.0616153i | ||||
\(911\) | 0.231674 | + | 0.339803i | 0.00767570 | + | 0.0112582i | 0.830057 | − | 0.557678i | \(-0.188308\pi\) |
−0.822382 | + | 0.568936i | \(0.807355\pi\) | |||||||
\(912\) | 5.09200 | + | 3.94557i | 0.168613 | + | 0.130651i | ||||
\(913\) | 48.7237 | + | 28.1307i | 1.61252 | + | 0.930989i | ||||
\(914\) | 49.2660 | + | 72.2600i | 1.62958 | + | 2.39015i | ||||
\(915\) | −5.94397 | − | 6.22915i | −0.196502 | − | 0.205929i | ||||
\(916\) | 8.88278 | − | 9.57336i | 0.293495 | − | 0.316313i | ||||
\(917\) | 12.4409 | + | 0.175341i | 0.410836 | + | 0.00579028i | ||||
\(918\) | 25.8036 | − | 30.2607i | 0.851647 | − | 0.998750i | ||||
\(919\) | −4.48678 | + | 3.05904i | −0.148005 | + | 0.100908i | −0.635059 | − | 0.772464i | \(-0.719024\pi\) |
0.487053 | + | 0.873372i | \(0.338072\pi\) | |||||||
\(920\) | 3.30885 | + | 14.4970i | 0.109089 | + | 0.477952i | ||||
\(921\) | −6.41726 | + | 1.55938i | −0.211456 | + | 0.0513832i | ||||
\(922\) | 4.85696 | + | 1.10857i | 0.159955 | + | 0.0365088i | ||||
\(923\) | −0.407078 | + | 1.03722i | −0.0133991 | + | 0.0341404i | ||||
\(924\) | −68.7666 | + | 74.0956i | −2.26225 | + | 2.43756i | ||||
\(925\) | 2.15758 | + | 5.49743i | 0.0709409 | + | 0.180755i | ||||
\(926\) | −2.72606 | − | 18.0862i | −0.0895838 | − | 0.594349i | ||||
\(927\) | −26.8568 | + | 22.6742i | −0.882094 | + | 0.744717i | ||||
\(928\) | −11.0367 | + | 28.1211i | −0.362298 | + | 0.923119i | ||||
\(929\) | 15.9432 | − | 14.7932i | 0.523081 | − | 0.485348i | −0.373868 | − | 0.927482i | \(-0.621969\pi\) |
0.896949 | + | 0.442134i | \(0.145778\pi\) | |||||||
\(930\) | −46.9178 | + | 60.5502i | −1.53849 | + | 1.98552i | ||||
\(931\) | 23.5270 | − | 23.9646i | 0.771067 | − | 0.785408i | ||||
\(932\) | 47.8172 | − | 27.6073i | 1.56631 | − | 0.904307i | ||||
\(933\) | −36.2210 | + | 25.4439i | −1.18582 | + | 0.832995i | ||||
\(934\) | −26.1808 | + | 20.8785i | −0.856661 | + | 0.683165i | ||||
\(935\) | 29.8515 | − | 43.7841i | 0.976249 | − | 1.43189i | ||||
\(936\) | 3.83602 | + | 0.468949i | 0.125384 | + | 0.0153281i | ||||
\(937\) | 4.60550 | + | 3.67276i | 0.150455 | + | 0.119984i | 0.695824 | − | 0.718212i | \(-0.255039\pi\) |
−0.545369 | + | 0.838196i | \(0.683611\pi\) | |||||||
\(938\) | 3.78057 | + | 3.10306i | 0.123440 | + | 0.101319i | ||||
\(939\) | −11.1858 | + | 6.66829i | −0.365035 | + | 0.217612i | ||||
\(940\) | −12.1395 | + | 53.1866i | −0.395947 | + | 1.73476i | ||||
\(941\) | −2.61197 | − | 6.65519i | −0.0851477 | − | 0.216953i | 0.881958 | − | 0.471328i | \(-0.156225\pi\) |
−0.967106 | + | 0.254375i | \(0.918130\pi\) | |||||||
\(942\) | 8.59376 | + | 3.99154i | 0.280000 | + | 0.130051i | ||||
\(943\) | 4.73957 | − | 0.355182i | 0.154342 | − | 0.0115663i | ||||
\(944\) | 1.81549 | + | 7.95416i | 0.0590890 | + | 0.258886i | ||||
\(945\) | 6.66644 | − | 33.4775i | 0.216859 | − | 1.08902i | ||||
\(946\) | −29.1353 | + | 127.650i | −0.947271 | + | 4.15027i | ||||
\(947\) | −0.367101 | + | 2.43556i | −0.0119292 | + | 0.0791450i | −0.994003 | − | 0.109350i | \(-0.965123\pi\) |
0.982074 | + | 0.188495i | \(0.0603610\pi\) | |||||||
\(948\) | 61.5058 | − | 30.6860i | 1.99762 | − | 0.996634i | ||||
\(949\) | −2.63408 | + | 4.56236i | −0.0855058 | + | 0.148100i | ||||
\(950\) | −12.9919 | −0.421514 | ||||||||
\(951\) | −23.3951 | + | 35.3664i | −0.758637 | + | 1.14683i | ||||
\(952\) | −4.63024 | + | 28.0331i | −0.150067 | + | 0.908558i | ||||
\(953\) | −24.5389 | − | 50.9556i | −0.794893 | − | 1.65061i | −0.758853 | − | 0.651262i | \(-0.774240\pi\) |
−0.0360402 | − | 0.999350i | \(-0.511474\pi\) | |||||||
\(954\) | 10.3883 | − | 1.86411i | 0.336333 | − | 0.0603529i | ||||
\(955\) | 0.790301 | + | 2.56209i | 0.0255735 | + | 0.0829074i | ||||
\(956\) | −14.7060 | − | 3.35654i | −0.475625 | − | 0.108558i | ||||
\(957\) | −53.3386 | − | 48.1213i | −1.72419 | − | 1.55554i | ||||
\(958\) | 20.9248 | − | 30.6911i | 0.676050 | − | 0.991584i | ||||
\(959\) | −0.0316353 | + | 2.24460i | −0.00102156 | + | 0.0724820i | ||||
\(960\) | 48.1988 | − | 24.0469i | 1.55561 | − | 0.776111i | ||||
\(961\) | 13.8581 | + | 24.0029i | 0.447034 | + | 0.774286i | ||||
\(962\) | −2.32693 | − | 4.03036i | −0.0750232 | − | 0.129944i | ||||
\(963\) | −2.47798 | + | 2.82506i | −0.0798519 | + | 0.0910362i | ||||
\(964\) | 46.9685 | − | 18.4338i | 1.51275 | − | 0.593712i | ||||
\(965\) | 0.484317 | + | 0.449380i | 0.0155907 | + | 0.0144661i | ||||
\(966\) | −18.6904 | + | 5.76286i | −0.601354 | + | 0.185417i | ||||
\(967\) | 0.774350 | − | 0.718491i | 0.0249014 | − | 0.0231051i | −0.667624 | − | 0.744499i | \(-0.732689\pi\) |
0.692525 | + | 0.721394i | \(0.256498\pi\) | |||||||
\(968\) | 43.8938 | − | 91.1464i | 1.41080 | − | 2.92956i | ||||
\(969\) | 11.5254 | − | 24.8140i | 0.370248 | − | 0.797141i | ||||
\(970\) | −35.8528 | + | 44.9580i | −1.15116 | + | 1.44351i | ||||
\(971\) | 44.4260 | + | 41.2213i | 1.42570 | + | 1.32285i | 0.871435 | + | 0.490511i | \(0.163190\pi\) |
0.554262 | + | 0.832342i | \(0.313001\pi\) | |||||||
\(972\) | −0.260665 | + | 53.0495i | −0.00836082 | + | 1.70156i | ||||
\(973\) | 16.5949 | + | 56.6204i | 0.532009 | + | 1.81517i | ||||
\(974\) | −7.51233 | + | 2.94837i | −0.240711 | + | 0.0944719i | ||||
\(975\) | −0.684550 | + | 0.408087i | −0.0219231 | + | 0.0130692i | ||||
\(976\) | −1.54769 | − | 0.115983i | −0.0495402 | − | 0.00371253i | ||||
\(977\) | 1.79616 | + | 11.9168i | 0.0574643 | + | 0.381251i | 0.999015 | + | 0.0443788i | \(0.0141308\pi\) |
−0.941550 | + | 0.336872i | \(0.890631\pi\) | |||||||
\(978\) | 10.2570 | − | 22.0833i | 0.327983 | − | 0.706145i | ||||
\(979\) | 16.6186 | + | 9.59477i | 0.531134 | + | 0.306650i | ||||
\(980\) | 20.0493 | + | 55.6475i | 0.640451 | + | 1.77759i | ||||
\(981\) | −21.9698 | + | 21.5586i | −0.701442 | + | 0.688314i | ||||
\(982\) | −94.0181 | − | 29.0007i | −3.00024 | − | 0.925451i | ||||
\(983\) | −28.5093 | − | 35.7495i | −0.909305 | − | 1.14023i | −0.989655 | − | 0.143466i | \(-0.954175\pi\) |
0.0803503 | − | 0.996767i | \(-0.474396\pi\) | |||||||
\(984\) | 4.50516 | + | 13.9120i | 0.143619 | + | 0.443498i | ||||
\(985\) | 28.4563 | − | 22.6932i | 0.906693 | − | 0.723064i | ||||
\(986\) | −48.4239 | − | 7.29874i | −1.54213 | − | 0.232439i | ||||
\(987\) | −29.2553 | − | 4.41298i | −0.931205 | − | 0.140467i | ||||
\(988\) | 6.37639 | − | 0.961087i | 0.202860 | − | 0.0305762i | ||||
\(989\) | −10.8527 | + | 11.6964i | −0.345096 | + | 0.371925i | ||||
\(990\) | 11.5122 | + | 111.642i | 0.365882 | + | 3.54821i | ||||
\(991\) | 22.9216 | − | 21.2681i | 0.728128 | − | 0.675604i | −0.226296 | − | 0.974059i | \(-0.572662\pi\) |
0.954424 | + | 0.298455i | \(0.0964711\pi\) | |||||||
\(992\) | −2.70355 | − | 36.0764i | −0.0858378 | − | 1.14543i | ||||
\(993\) | −2.61746 | − | 29.4060i | −0.0830626 | − | 0.933171i | ||||
\(994\) | 16.6498 | − | 4.87991i | 0.528100 | − | 0.154781i | ||||
\(995\) | −9.52546 | − | 30.8808i | −0.301978 | − | 0.978987i | ||||
\(996\) | −37.0140 | + | 35.3194i | −1.17283 | + | 1.11914i | ||||
\(997\) | 5.48745 | − | 11.3948i | 0.173789 | − | 0.360877i | −0.795821 | − | 0.605532i | \(-0.792960\pi\) |
0.969610 | + | 0.244655i | \(0.0786746\pi\) | |||||||
\(998\) | 59.1416 | − | 34.1454i | 1.87209 | − | 1.08085i | ||||
\(999\) | 21.1224 | − | 15.7374i | 0.668282 | − | 0.497909i |
(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 | 441.2.bd.a.47.8 | ✓ | 648 | |
9.5 | odd | 6 | 441.2.bn.a.194.8 | yes | 648 | ||
49.24 | odd | 42 | 441.2.bn.a.416.8 | yes | 648 | ||
441.122 | even | 42 | inner | 441.2.bd.a.122.8 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bd.a.47.8 | ✓ | 648 | 1.1 | even | 1 | trivial | |
441.2.bd.a.122.8 | yes | 648 | 441.122 | even | 42 | inner | |
441.2.bn.a.194.8 | yes | 648 | 9.5 | odd | 6 | ||
441.2.bn.a.416.8 | yes | 648 | 49.24 | odd | 42 |