Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(11,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bb (of order \(54\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1872\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 59.15 | ||
Character | \(\chi\) | \(=\) | 648.59 |
Dual form | 648.2.bb.b.11.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{41}{54}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.29842 | + | 0.560449i | −0.918122 | + | 0.396298i | ||||
\(3\) | −0.296891 | + | 1.70642i | −0.171410 | + | 0.985200i | ||||
\(4\) | 1.37179 | − | 1.45540i | 0.685896 | − | 0.727699i | ||||
\(5\) | −4.17186 | + | 0.487621i | −1.86571 | + | 0.218071i | −0.972717 | − | 0.231995i | \(-0.925475\pi\) |
−0.892996 | + | 0.450065i | \(0.851401\pi\) | |||||||
\(6\) | −0.570870 | − | 2.38204i | −0.233057 | − | 0.972463i | ||||
\(7\) | −1.01368 | + | 2.01841i | −0.383136 | + | 0.762886i | −0.999702 | − | 0.0244174i | \(-0.992227\pi\) |
0.616566 | + | 0.787303i | \(0.288523\pi\) | |||||||
\(8\) | −0.965487 | + | 2.65854i | −0.341351 | + | 0.939936i | ||||
\(9\) | −2.82371 | − | 1.01324i | −0.941237 | − | 0.337747i | ||||
\(10\) | 5.14354 | − | 2.97125i | 1.62653 | − | 0.939593i | ||||
\(11\) | −3.21426 | + | 1.38650i | −0.969136 | + | 0.418044i | −0.821003 | − | 0.570923i | \(-0.806585\pi\) |
−0.148132 | + | 0.988968i | \(0.547326\pi\) | |||||||
\(12\) | 2.07624 | + | 2.77294i | 0.599359 | + | 0.800480i | ||||
\(13\) | −0.982773 | + | 4.14665i | −0.272572 | + | 1.15007i | 0.648666 | + | 0.761073i | \(0.275327\pi\) |
−0.921238 | + | 0.388999i | \(0.872821\pi\) | |||||||
\(14\) | 0.184971 | − | 3.18886i | 0.0494354 | − | 0.852258i | ||||
\(15\) | 0.406506 | − | 7.26370i | 0.104959 | − | 1.87548i | ||||
\(16\) | −0.236369 | − | 3.99301i | −0.0590924 | − | 0.998253i | ||||
\(17\) | 6.97026 | + | 1.22904i | 1.69054 | + | 0.298087i | 0.934373 | − | 0.356296i | \(-0.115961\pi\) |
0.756163 | + | 0.654383i | \(0.227072\pi\) | |||||||
\(18\) | 4.23423 | − | 0.266936i | 0.998019 | − | 0.0629173i | ||||
\(19\) | −0.498879 | − | 2.82928i | −0.114451 | − | 0.649082i | −0.987021 | − | 0.160593i | \(-0.948659\pi\) |
0.872570 | − | 0.488489i | \(-0.162452\pi\) | |||||||
\(20\) | −5.01325 | + | 6.74063i | −1.12100 | + | 1.50725i | ||||
\(21\) | −3.14329 | − | 2.32901i | −0.685921 | − | 0.508231i | ||||
\(22\) | 3.39640 | − | 3.60169i | 0.724115 | − | 0.767882i | ||||
\(23\) | −5.98800 | + | 3.00729i | −1.24858 | + | 0.627062i | −0.945413 | − | 0.325874i | \(-0.894342\pi\) |
−0.303171 | + | 0.952936i | \(0.598045\pi\) | |||||||
\(24\) | −4.24993 | − | 2.43682i | −0.867513 | − | 0.497414i | ||||
\(25\) | 12.3014 | − | 2.91549i | 2.46028 | − | 0.583098i | ||||
\(26\) | −1.04793 | − | 5.93489i | −0.205517 | − | 1.16393i | ||||
\(27\) | 2.56734 | − | 4.51760i | 0.494086 | − | 0.869413i | ||||
\(28\) | 1.54702 | + | 4.24414i | 0.292360 | + | 0.802068i | ||||
\(29\) | 1.08499 | − | 3.62410i | 0.201477 | − | 0.672979i | −0.796211 | − | 0.605019i | \(-0.793166\pi\) |
0.997688 | − | 0.0679604i | \(-0.0216492\pi\) | |||||||
\(30\) | 3.54312 | + | 9.65916i | 0.646883 | + | 1.76351i | ||||
\(31\) | 2.49239 | − | 3.78950i | 0.447647 | − | 0.680614i | −0.539217 | − | 0.842167i | \(-0.681280\pi\) |
0.986864 | + | 0.161553i | \(0.0516502\pi\) | |||||||
\(32\) | 2.54479 | + | 5.05213i | 0.449859 | + | 0.893100i | ||||
\(33\) | −1.41165 | − | 5.89650i | −0.245737 | − | 1.02645i | ||||
\(34\) | −9.73914 | + | 2.31066i | −1.67025 | + | 0.396275i | ||||
\(35\) | 3.24472 | − | 8.91480i | 0.548458 | − | 1.50688i | ||||
\(36\) | −5.34821 | + | 2.71967i | −0.891369 | + | 0.453278i | ||||
\(37\) | −1.01387 | − | 2.78557i | −0.166678 | − | 0.457945i | 0.828030 | − | 0.560684i | \(-0.189462\pi\) |
−0.994708 | + | 0.102739i | \(0.967239\pi\) | |||||||
\(38\) | 2.23343 | + | 3.39401i | 0.362310 | + | 0.550580i | ||||
\(39\) | −6.78413 | − | 2.90812i | −1.08633 | − | 0.465672i | ||||
\(40\) | 2.73152 | − | 11.5618i | 0.431891 | − | 1.82809i | ||||
\(41\) | −5.13427 | − | 4.84394i | −0.801839 | − | 0.756496i | 0.171668 | − | 0.985155i | \(-0.445084\pi\) |
−0.973507 | + | 0.228659i | \(0.926566\pi\) | |||||||
\(42\) | 5.38660 | + | 1.26238i | 0.831170 | + | 0.194790i | ||||
\(43\) | −5.28987 | + | 7.10553i | −0.806698 | + | 1.08358i | 0.188144 | + | 0.982141i | \(0.439753\pi\) |
−0.994842 | + | 0.101441i | \(0.967655\pi\) | |||||||
\(44\) | −2.39139 | + | 6.58001i | −0.360516 | + | 0.991975i | ||||
\(45\) | 12.2742 | + | 2.85020i | 1.82973 | + | 0.424882i | ||||
\(46\) | 6.08951 | − | 7.26069i | 0.897849 | − | 1.07053i | ||||
\(47\) | 0.317569 | − | 0.208868i | 0.0463222 | − | 0.0304666i | −0.526137 | − | 0.850400i | \(-0.676360\pi\) |
0.572459 | + | 0.819933i | \(0.305990\pi\) | |||||||
\(48\) | 6.88391 | + | 0.782145i | 0.993607 | + | 0.112893i | ||||
\(49\) | 1.13370 | + | 1.52282i | 0.161957 | + | 0.217546i | ||||
\(50\) | −14.3384 | + | 10.6799i | −2.02776 | + | 1.51036i | ||||
\(51\) | −4.16667 | + | 11.5293i | −0.583451 | + | 1.61442i | ||||
\(52\) | 4.68686 | + | 7.11867i | 0.649951 | + | 0.987181i | ||||
\(53\) | 1.34618 | − | 2.33166i | 0.184913 | − | 0.320278i | −0.758634 | − | 0.651517i | \(-0.774133\pi\) |
0.943547 | + | 0.331238i | \(0.107466\pi\) | |||||||
\(54\) | −0.801604 | + | 7.30462i | −0.109085 | + | 0.994032i | ||||
\(55\) | 12.7334 | − | 7.35161i | 1.71697 | − | 0.991291i | ||||
\(56\) | −4.38732 | − | 4.64366i | −0.586280 | − | 0.620535i | ||||
\(57\) | 4.97605 | − | 0.0113055i | 0.659094 | − | 0.00149745i | ||||
\(58\) | 0.622359 | + | 5.31369i | 0.0817198 | + | 0.697722i | ||||
\(59\) | 4.55014 | + | 1.96274i | 0.592378 | + | 0.255527i | 0.671097 | − | 0.741370i | \(-0.265824\pi\) |
−0.0787185 | + | 0.996897i | \(0.525083\pi\) | |||||||
\(60\) | −10.0139 | − | 10.5559i | −1.29279 | − | 1.36276i | ||||
\(61\) | 1.76766 | − | 0.102954i | 0.226325 | − | 0.0131819i | 0.0553925 | − | 0.998465i | \(-0.482359\pi\) |
0.170933 | + | 0.985283i | \(0.445322\pi\) | |||||||
\(62\) | −1.11235 | + | 6.31722i | −0.141269 | + | 0.802288i | ||||
\(63\) | 4.90747 | − | 4.67229i | 0.618283 | − | 0.588653i | ||||
\(64\) | −6.13567 | − | 5.13357i | −0.766959 | − | 0.641696i | ||||
\(65\) | 2.07800 | − | 17.7785i | 0.257745 | − | 2.20515i | ||||
\(66\) | 5.13761 | + | 6.86498i | 0.632396 | + | 0.845021i | ||||
\(67\) | −0.232771 | − | 0.777510i | −0.0284375 | − | 0.0949879i | 0.942593 | − | 0.333945i | \(-0.108380\pi\) |
−0.971030 | + | 0.238957i | \(0.923195\pi\) | |||||||
\(68\) | 11.3505 | − | 8.45851i | 1.37645 | − | 1.02574i | ||||
\(69\) | −3.35390 | − | 11.1109i | −0.403762 | − | 1.33759i | ||||
\(70\) | 0.783281 | + | 13.3937i | 0.0936200 | + | 1.60085i | ||||
\(71\) | 6.19666 | + | 5.19961i | 0.735408 | + | 0.617080i | 0.931600 | − | 0.363485i | \(-0.118413\pi\) |
−0.196192 | + | 0.980565i | \(0.562858\pi\) | |||||||
\(72\) | 5.42000 | − | 6.52868i | 0.638753 | − | 0.769412i | ||||
\(73\) | −5.18345 | + | 4.34943i | −0.606677 | + | 0.509062i | −0.893584 | − | 0.448896i | \(-0.851817\pi\) |
0.286907 | + | 0.957958i | \(0.407373\pi\) | |||||||
\(74\) | 2.87760 | + | 3.04863i | 0.334514 | + | 0.354395i | ||||
\(75\) | 1.32285 | + | 21.8569i | 0.152750 | + | 2.52382i | ||||
\(76\) | −4.80210 | − | 3.15512i | −0.550838 | − | 0.361918i | ||||
\(77\) | 0.459723 | − | 7.89315i | 0.0523903 | − | 0.899507i | ||||
\(78\) | 10.4385 | − | 0.0261931i | 1.18193 | − | 0.00296579i | ||||
\(79\) | 1.40581 | − | 1.32631i | 0.158166 | − | 0.149221i | −0.603091 | − | 0.797673i | \(-0.706064\pi\) |
0.761256 | + | 0.648451i | \(0.224583\pi\) | |||||||
\(80\) | 2.93317 | + | 16.5430i | 0.327939 | + | 1.84957i | ||||
\(81\) | 6.94669 | + | 5.72219i | 0.771854 | + | 0.635799i | ||||
\(82\) | 9.38123 | + | 3.41197i | 1.03598 | + | 0.376789i | ||||
\(83\) | 3.44401 | − | 3.24926i | 0.378030 | − | 0.356653i | −0.473652 | − | 0.880712i | \(-0.657065\pi\) |
0.851682 | + | 0.524059i | \(0.175583\pi\) | |||||||
\(84\) | −7.70157 | + | 1.37982i | −0.840311 | + | 0.150550i | ||||
\(85\) | −29.6783 | − | 1.72856i | −3.21906 | − | 0.187489i | ||||
\(86\) | 2.88619 | − | 12.1907i | 0.311226 | − | 1.31455i | ||||
\(87\) | 5.86211 | + | 2.92740i | 0.628484 | + | 0.313850i | ||||
\(88\) | −0.582731 | − | 9.88388i | −0.0621193 | − | 1.05363i | ||||
\(89\) | −6.12093 | − | 7.29464i | −0.648817 | − | 0.773230i | 0.336918 | − | 0.941534i | \(-0.390616\pi\) |
−0.985735 | + | 0.168304i | \(0.946171\pi\) | |||||||
\(90\) | −17.5345 | + | 3.17832i | −1.84830 | + | 0.335024i | ||||
\(91\) | −7.37340 | − | 6.18701i | −0.772942 | − | 0.648575i | ||||
\(92\) | −3.83749 | + | 12.8403i | −0.400086 | + | 1.33869i | ||||
\(93\) | 5.72649 | + | 5.37813i | 0.593810 | + | 0.557686i | ||||
\(94\) | −0.295278 | + | 0.449180i | −0.0304556 | + | 0.0463294i | ||||
\(95\) | 3.46087 | + | 11.5601i | 0.355078 | + | 1.18604i | ||||
\(96\) | −9.37657 | + | 2.84253i | −0.956992 | + | 0.290115i | ||||
\(97\) | −9.53198 | − | 1.11413i | −0.967826 | − | 0.113123i | −0.382531 | − | 0.923943i | \(-0.624947\pi\) |
−0.585295 | + | 0.810820i | \(0.699021\pi\) | |||||||
\(98\) | −2.32548 | − | 1.34188i | −0.234909 | − | 0.135551i | ||||
\(99\) | 10.4810 | − | 0.658248i | 1.05338 | − | 0.0661564i | ||||
\(100\) | 12.6318 | − | 21.9029i | 1.26318 | − | 2.19029i | ||||
\(101\) | −0.299923 | − | 5.14948i | −0.0298434 | − | 0.512392i | −0.979796 | − | 0.199999i | \(-0.935906\pi\) |
0.949953 | − | 0.312394i | \(-0.101131\pi\) | |||||||
\(102\) | −1.05148 | − | 17.3050i | −0.104112 | − | 1.71345i | ||||
\(103\) | −4.40432 | − | 1.89984i | −0.433971 | − | 0.187197i | 0.167876 | − | 0.985808i | \(-0.446309\pi\) |
−0.601847 | + | 0.798611i | \(0.705568\pi\) | |||||||
\(104\) | −10.0752 | − | 6.61627i | −0.987952 | − | 0.648779i | ||||
\(105\) | 14.2490 | + | 8.18357i | 1.39056 | + | 0.798635i | ||||
\(106\) | −0.441136 | + | 3.78194i | −0.0428469 | + | 0.367335i | ||||
\(107\) | −7.80631 | + | 4.50697i | −0.754664 | + | 0.435705i | −0.827377 | − | 0.561647i | \(-0.810168\pi\) |
0.0727126 | + | 0.997353i | \(0.476834\pi\) | |||||||
\(108\) | −3.05305 | − | 9.93372i | −0.293780 | − | 0.955873i | ||||
\(109\) | 2.06237 | + | 1.19071i | 0.197539 | + | 0.114049i | 0.595507 | − | 0.803350i | \(-0.296951\pi\) |
−0.397968 | + | 0.917399i | \(0.630285\pi\) | |||||||
\(110\) | −12.4131 | + | 16.6819i | −1.18354 | + | 1.59056i | ||||
\(111\) | 5.05435 | − | 0.903064i | 0.479738 | − | 0.0857151i | ||||
\(112\) | 8.29912 | + | 3.57055i | 0.784193 | + | 0.337385i | ||||
\(113\) | 12.8614 | − | 9.57498i | 1.20990 | − | 0.900738i | 0.212820 | − | 0.977091i | \(-0.431735\pi\) |
0.997081 | + | 0.0763533i | \(0.0243277\pi\) | |||||||
\(114\) | −6.45467 | + | 2.80350i | −0.604535 | + | 0.262572i | ||||
\(115\) | 23.5147 | − | 15.4658i | 2.19276 | − | 1.44220i | ||||
\(116\) | −3.78614 | − | 6.55060i | −0.351534 | − | 0.608208i | ||||
\(117\) | 6.97662 | − | 10.7131i | 0.644988 | − | 0.990431i | ||||
\(118\) | −7.00802 | + | 0.00166295i | −0.645140 | + | 0.000153087i | ||||
\(119\) | −9.54633 | + | 12.8229i | −0.875111 | + | 1.17548i | ||||
\(120\) | 18.9184 | + | 8.09372i | 1.72700 | + | 0.738852i | ||||
\(121\) | 0.860436 | − | 0.912009i | 0.0782215 | − | 0.0829099i | ||||
\(122\) | −2.23746 | + | 1.12436i | −0.202570 | + | 0.101795i | ||||
\(123\) | 9.79009 | − | 7.32308i | 0.882743 | − | 0.660300i | ||||
\(124\) | −2.09618 | − | 8.82583i | −0.188243 | − | 0.792583i | ||||
\(125\) | −30.1634 | + | 10.9786i | −2.69790 | + | 0.981954i | ||||
\(126\) | −3.75338 | + | 8.81699i | −0.334378 | + | 0.785480i | ||||
\(127\) | 3.02582 | − | 8.31337i | 0.268498 | − | 0.737692i | −0.730028 | − | 0.683417i | \(-0.760493\pi\) |
0.998526 | − | 0.0542749i | \(-0.0172847\pi\) | |||||||
\(128\) | 10.8438 | + | 3.22680i | 0.958465 | + | 0.285212i | ||||
\(129\) | −10.5545 | − | 11.1363i | −0.929269 | − | 0.980496i | ||||
\(130\) | 7.26580 | + | 24.2485i | 0.637253 | + | 2.12674i | ||||
\(131\) | −9.73454 | + | 14.8006i | −0.850511 | + | 1.29314i | 0.103884 | + | 0.994589i | \(0.466873\pi\) |
−0.954394 | + | 0.298549i | \(0.903497\pi\) | |||||||
\(132\) | −10.5183 | − | 6.03426i | −0.915497 | − | 0.525215i | ||||
\(133\) | 6.21635 | + | 1.86105i | 0.539026 | + | 0.161374i | ||||
\(134\) | 0.737990 | + | 0.879078i | 0.0637526 | + | 0.0759408i | ||||
\(135\) | −8.50773 | + | 20.0987i | −0.732228 | + | 1.72982i | ||||
\(136\) | −9.99716 | + | 17.3441i | −0.857249 | + | 1.48724i | ||||
\(137\) | 0.677785 | + | 2.85980i | 0.0579071 | + | 0.244329i | 0.994299 | − | 0.106626i | \(-0.0340049\pi\) |
−0.936392 | + | 0.350956i | \(0.885857\pi\) | |||||||
\(138\) | 10.5818 | + | 12.5469i | 0.900786 | + | 1.06806i | ||||
\(139\) | −7.12883 | + | 3.58023i | −0.604660 | + | 0.303671i | −0.724665 | − | 0.689102i | \(-0.758005\pi\) |
0.120005 | + | 0.992773i | \(0.461709\pi\) | |||||||
\(140\) | −8.52350 | − | 16.9516i | −0.720367 | − | 1.43267i | ||||
\(141\) | 0.262133 | + | 0.603916i | 0.0220756 | + | 0.0508589i | ||||
\(142\) | −10.9600 | − | 3.27837i | −0.919742 | − | 0.275115i | ||||
\(143\) | −2.59042 | − | 14.6910i | −0.216622 | − | 1.22852i | ||||
\(144\) | −3.37844 | + | 11.5146i | −0.281537 | + | 0.959550i | ||||
\(145\) | −2.75922 | + | 15.6483i | −0.229141 | + | 1.29952i | ||||
\(146\) | 4.29266 | − | 8.55245i | 0.355263 | − | 0.707806i | ||||
\(147\) | −2.93515 | + | 1.48245i | −0.242087 | + | 0.122270i | ||||
\(148\) | −5.44493 | − | 2.34565i | −0.447571 | − | 0.192811i | ||||
\(149\) | 5.88094 | + | 1.39381i | 0.481786 | + | 0.114185i | 0.464330 | − | 0.885662i | \(-0.346295\pi\) |
0.0174558 | + | 0.999848i | \(0.494443\pi\) | |||||||
\(150\) | −13.9673 | − | 27.6381i | −1.14043 | − | 2.25664i | ||||
\(151\) | −20.0179 | + | 8.63488i | −1.62903 | + | 0.702697i | −0.997365 | − | 0.0725418i | \(-0.976889\pi\) |
−0.631669 | + | 0.775238i | \(0.717630\pi\) | |||||||
\(152\) | 8.00343 | + | 1.40535i | 0.649164 | + | 0.113989i | ||||
\(153\) | −18.4367 | − | 10.5330i | −1.49052 | − | 0.851543i | ||||
\(154\) | 3.82680 | + | 10.5063i | 0.308372 | + | 0.846620i | ||||
\(155\) | −8.55008 | + | 17.0246i | −0.686759 | + | 1.36745i | ||||
\(156\) | −13.5389 | + | 5.88427i | −1.08398 | + | 0.471118i | ||||
\(157\) | 0.264580 | + | 2.26363i | 0.0211158 | + | 0.180657i | 0.999680 | − | 0.0252833i | \(-0.00804880\pi\) |
−0.978565 | + | 0.205940i | \(0.933975\pi\) | |||||||
\(158\) | −1.08200 | + | 2.50999i | −0.0860792 | + | 0.199684i | ||||
\(159\) | 3.57911 | + | 2.98940i | 0.283842 | + | 0.237075i | ||||
\(160\) | −13.0800 | − | 19.8359i | −1.03407 | − | 1.56817i | ||||
\(161\) | − | 15.1346i | − | 1.19278i | ||||||
\(162\) | −12.2267 | − | 3.53655i | −0.960622 | − | 0.277857i | ||||
\(163\) | −4.48644 | −0.351405 | −0.175703 | − | 0.984443i | \(-0.556220\pi\) | ||||
−0.175703 | + | 0.984443i | \(0.556220\pi\) | |||||||
\(164\) | −14.0930 | + | 0.827536i | −1.10048 | + | 0.0646197i | ||||
\(165\) | 8.76448 | + | 23.9110i | 0.682314 | + | 1.86147i | ||||
\(166\) | −2.65073 | + | 6.14910i | −0.205737 | + | 0.477263i | ||||
\(167\) | −17.8395 | + | 2.08514i | −1.38047 | + | 0.161353i | −0.773712 | − | 0.633537i | \(-0.781602\pi\) |
−0.606753 | + | 0.794890i | \(0.707528\pi\) | |||||||
\(168\) | 9.22657 | − | 6.10793i | 0.711845 | − | 0.471237i | ||||
\(169\) | −4.61161 | − | 2.31604i | −0.354739 | − | 0.178157i | ||||
\(170\) | 39.5036 | − | 14.3888i | 3.02979 | − | 1.10357i | ||||
\(171\) | −1.45805 | + | 8.49457i | −0.111500 | + | 0.649596i | ||||
\(172\) | 3.08477 | + | 17.4462i | 0.235212 | + | 1.33026i | ||||
\(173\) | −9.63869 | − | 22.3450i | −0.732816 | − | 1.69886i | −0.715107 | − | 0.699015i | \(-0.753622\pi\) |
−0.0177095 | − | 0.999843i | \(-0.505637\pi\) | |||||||
\(174\) | −9.25214 | − | 0.515584i | −0.701403 | − | 0.0390863i | ||||
\(175\) | −6.58508 | + | 27.7846i | −0.497785 | + | 2.10032i | ||||
\(176\) | 6.29605 | + | 12.5068i | 0.474582 | + | 0.942739i | ||||
\(177\) | −4.70015 | + | 7.18172i | −0.353285 | + | 0.539811i | ||||
\(178\) | 12.0358 | + | 6.04104i | 0.902123 | + | 0.452795i | ||||
\(179\) | 13.3551 | + | 2.35487i | 0.998210 | + | 0.176011i | 0.648800 | − | 0.760959i | \(-0.275271\pi\) |
0.349410 | + | 0.936970i | \(0.386382\pi\) | |||||||
\(180\) | 20.9858 | − | 13.9540i | 1.56419 | − | 1.04007i | ||||
\(181\) | 16.6122 | − | 2.92918i | 1.23478 | − | 0.217725i | 0.482101 | − | 0.876116i | \(-0.339874\pi\) |
0.752676 | + | 0.658391i | \(0.228763\pi\) | |||||||
\(182\) | 13.0413 | + | 3.90093i | 0.966684 | + | 0.289156i | ||||
\(183\) | −0.349119 | + | 3.04692i | −0.0258076 | + | 0.225235i | ||||
\(184\) | −2.21366 | − | 18.8228i | −0.163193 | − | 1.38764i | ||||
\(185\) | 5.58801 | + | 11.1266i | 0.410839 | + | 0.818047i | ||||
\(186\) | −10.4496 | − | 3.77366i | −0.766199 | − | 0.276698i | ||||
\(187\) | −24.1083 | + | 5.71377i | −1.76297 | + | 0.417832i | ||||
\(188\) | 0.131652 | − | 0.748713i | 0.00960171 | − | 0.0546055i | ||||
\(189\) | 6.51589 | + | 9.76135i | 0.473961 | + | 0.710034i | ||||
\(190\) | −10.9725 | − | 13.0703i | −0.796031 | − | 0.948216i | ||||
\(191\) | −3.32593 | + | 11.1094i | −0.240656 | + | 0.803846i | 0.749271 | + | 0.662264i | \(0.230404\pi\) |
−0.989927 | + | 0.141582i | \(0.954781\pi\) | |||||||
\(192\) | 10.5816 | − | 8.94589i | 0.763664 | − | 0.645614i | ||||
\(193\) | −18.7676 | − | 12.3437i | −1.35092 | − | 0.888517i | −0.352052 | − | 0.935981i | \(-0.614516\pi\) |
−0.998873 | + | 0.0474636i | \(0.984886\pi\) | |||||||
\(194\) | 13.0009 | − | 3.89559i | 0.933413 | − | 0.279687i | ||||
\(195\) | 29.7205 | + | 8.82420i | 2.12833 | + | 0.631914i | ||||
\(196\) | 3.77151 | + | 0.439012i | 0.269394 | + | 0.0313580i | ||||
\(197\) | 12.1200 | + | 4.41133i | 0.863517 | + | 0.314294i | 0.735539 | − | 0.677483i | \(-0.236929\pi\) |
0.127978 | + | 0.991777i | \(0.459151\pi\) | |||||||
\(198\) | −13.2398 | + | 6.72875i | −0.940913 | + | 0.478192i | ||||
\(199\) | −2.12520 | − | 5.83894i | −0.150652 | − | 0.413912i | 0.841294 | − | 0.540578i | \(-0.181794\pi\) |
−0.991945 | + | 0.126666i | \(0.959572\pi\) | |||||||
\(200\) | −4.12591 | + | 35.5187i | −0.291746 | + | 2.51155i | ||||
\(201\) | 1.39586 | − | 0.166369i | 0.0984566 | − | 0.0117347i | ||||
\(202\) | 3.27545 | + | 6.51810i | 0.230460 | + | 0.458612i | ||||
\(203\) | 6.21508 | + | 5.86363i | 0.436213 | + | 0.411546i | ||||
\(204\) | 11.0639 | + | 21.8799i | 0.774626 | + | 1.53190i | ||||
\(205\) | 23.7815 | + | 17.7047i | 1.66097 | + | 1.23655i | ||||
\(206\) | 6.78343 | − | 0.00160966i | 0.472624 | − | 0.000112150i | ||||
\(207\) | 19.9555 | − | 2.42443i | 1.38700 | − | 0.168509i | ||||
\(208\) | 16.7899 | + | 2.94408i | 1.16417 | + | 0.204135i | ||||
\(209\) | 5.52632 | + | 8.40236i | 0.382264 | + | 0.581204i | ||||
\(210\) | −23.0877 | − | 2.63986i | −1.59320 | − | 0.182168i | ||||
\(211\) | −10.7805 | − | 14.4807i | −0.742159 | − | 0.996893i | −0.999532 | − | 0.0305807i | \(-0.990264\pi\) |
0.257373 | − | 0.966312i | \(-0.417143\pi\) | |||||||
\(212\) | −1.54681 | − | 5.15779i | −0.106235 | − | 0.354238i | ||||
\(213\) | −10.7124 | + | 9.03035i | −0.734004 | + | 0.618750i | ||||
\(214\) | 7.60994 | − | 10.2270i | 0.520205 | − | 0.699102i | ||||
\(215\) | 18.6038 | − | 32.2227i | 1.26877 | − | 2.19757i | ||||
\(216\) | 9.53149 | + | 11.1871i | 0.648536 | + | 0.761184i | ||||
\(217\) | 5.12225 | + | 8.87200i | 0.347721 | + | 0.602271i | ||||
\(218\) | −3.34515 | − | 0.390187i | −0.226562 | − | 0.0264268i | ||||
\(219\) | −5.88301 | − | 10.1364i | −0.397537 | − | 0.684956i | ||||
\(220\) | 6.76801 | − | 28.6170i | 0.456299 | − | 1.92936i | ||||
\(221\) | −11.9466 | + | 27.6953i | −0.803615 | + | 1.86299i | ||||
\(222\) | −6.05656 | + | 4.00527i | −0.406489 | + | 0.268816i | ||||
\(223\) | −0.0261307 | + | 0.00152194i | −0.00174984 | + | 0.000101917i | −0.0590197 | − | 0.998257i | \(-0.518797\pi\) |
0.0572699 | + | 0.998359i | \(0.481760\pi\) | |||||||
\(224\) | −12.7769 | + | 0.0151593i | −0.853690 | + | 0.00101287i | ||||
\(225\) | −37.6898 | − | 4.23179i | −2.51265 | − | 0.282119i | ||||
\(226\) | −11.3333 | + | 19.6405i | −0.753877 | + | 1.30647i | ||||
\(227\) | 2.03753 | − | 17.4322i | 0.135236 | − | 1.15702i | −0.739755 | − | 0.672876i | \(-0.765059\pi\) |
0.874991 | − | 0.484139i | \(-0.160867\pi\) | |||||||
\(228\) | 6.80965 | − | 7.25764i | 0.450980 | − | 0.480649i | ||||
\(229\) | −8.89308 | + | 2.66241i | −0.587671 | + | 0.175937i | −0.566815 | − | 0.823845i | \(-0.691824\pi\) |
−0.0208564 | + | 0.999782i | \(0.506639\pi\) | |||||||
\(230\) | −21.8641 | + | 33.2600i | −1.44168 | + | 2.19310i | ||||
\(231\) | 13.3325 | + | 3.12789i | 0.877214 | + | 0.205800i | ||||
\(232\) | 8.58728 | + | 6.38350i | 0.563783 | + | 0.419097i | ||||
\(233\) | 6.85658 | − | 8.17135i | 0.449189 | − | 0.535323i | −0.493167 | − | 0.869935i | \(-0.664161\pi\) |
0.942356 | + | 0.334612i | \(0.108605\pi\) | |||||||
\(234\) | −3.05441 | + | 17.8202i | −0.199673 | + | 1.16494i | ||||
\(235\) | −1.22300 | + | 1.02622i | −0.0797800 | + | 0.0669434i | ||||
\(236\) | 9.09842 | − | 3.92980i | 0.592257 | − | 0.255808i | ||||
\(237\) | 1.84586 | + | 2.79266i | 0.119902 | + | 0.181403i | ||||
\(238\) | 5.20854 | − | 21.9998i | 0.337619 | − | 1.42604i | ||||
\(239\) | 0.738466 | − | 12.6790i | 0.0477674 | − | 0.820134i | −0.886316 | − | 0.463080i | \(-0.846744\pi\) |
0.934084 | − | 0.357054i | \(-0.116219\pi\) | |||||||
\(240\) | −29.1001 | + | 0.0937361i | −1.87840 | + | 0.00605064i | ||||
\(241\) | −16.6628 | − | 17.6615i | −1.07334 | − | 1.13768i | −0.989987 | − | 0.141159i | \(-0.954917\pi\) |
−0.0833572 | − | 0.996520i | \(-0.526564\pi\) | |||||||
\(242\) | −0.606073 | + | 1.66640i | −0.0389599 | + | 0.107120i | ||||
\(243\) | −11.8269 | + | 10.1551i | −0.758693 | + | 0.651448i | ||||
\(244\) | 2.27502 | − | 2.71388i | 0.145643 | − | 0.173738i | ||||
\(245\) | −5.47219 | − | 5.80019i | −0.349606 | − | 0.370560i | ||||
\(246\) | −8.60744 | + | 14.9953i | −0.548790 | + | 0.956065i | ||||
\(247\) | 12.2223 | + | 0.711870i | 0.777688 | + | 0.0452952i | ||||
\(248\) | 7.66816 | + | 10.2848i | 0.486929 | + | 0.653088i | ||||
\(249\) | 4.52209 | + | 6.84160i | 0.286576 | + | 0.433569i | ||||
\(250\) | 33.0118 | − | 31.1599i | 2.08785 | − | 1.97072i | ||||
\(251\) | −1.33439 | − | 1.59026i | −0.0842257 | − | 0.100376i | 0.722286 | − | 0.691595i | \(-0.243092\pi\) |
−0.806511 | + | 0.591218i | \(0.798647\pi\) | |||||||
\(252\) | −0.0680106 | − | 13.5517i | −0.00428427 | − | 0.853680i | ||||
\(253\) | 15.0774 | − | 17.9685i | 0.947907 | − | 1.12967i | ||||
\(254\) | 0.730437 | + | 12.4901i | 0.0458317 | + | 0.783696i | ||||
\(255\) | 11.7609 | − | 50.1302i | 0.736494 | − | 3.13928i | ||||
\(256\) | −15.8883 | + | 1.88765i | −0.993016 | + | 0.117978i | ||||
\(257\) | 4.85207 | − | 1.45262i | 0.302664 | − | 0.0906117i | −0.131870 | − | 0.991267i | \(-0.542098\pi\) |
0.434534 | + | 0.900655i | \(0.356913\pi\) | |||||||
\(258\) | 19.9455 | + | 8.54434i | 1.24175 | + | 0.531947i | ||||
\(259\) | 6.65015 | + | 0.777291i | 0.413220 | + | 0.0482985i | ||||
\(260\) | −23.0241 | − | 27.4127i | −1.42790 | − | 1.70006i | ||||
\(261\) | −6.73577 | + | 9.13407i | −0.416934 | + | 0.565385i | ||||
\(262\) | 4.34451 | − | 24.6732i | 0.268405 | − | 1.52431i | ||||
\(263\) | −0.223285 | − | 3.83365i | −0.0137683 | − | 0.236393i | −0.998171 | − | 0.0604606i | \(-0.980743\pi\) |
0.984402 | − | 0.175932i | \(-0.0562940\pi\) | |||||||
\(264\) | 17.0390 | + | 1.94006i | 1.04868 | + | 0.119402i | ||||
\(265\) | −4.47913 | + | 10.3838i | −0.275151 | + | 0.637871i | ||||
\(266\) | −9.11446 | + | 1.06752i | −0.558843 | + | 0.0654539i | ||||
\(267\) | 14.2649 | − | 8.27914i | 0.873000 | − | 0.506675i | ||||
\(268\) | −1.45090 | − | 0.727808i | −0.0886278 | − | 0.0444579i | ||||
\(269\) | −14.8622 | − | 25.7421i | −0.906166 | − | 1.56953i | −0.819344 | − | 0.573302i | \(-0.805662\pi\) |
−0.0868221 | − | 0.996224i | \(-0.527671\pi\) | |||||||
\(270\) | −0.217700 | − | 30.8647i | −0.0132488 | − | 1.87837i | ||||
\(271\) | 20.0346 | + | 11.5670i | 1.21701 | + | 0.702643i | 0.964278 | − | 0.264892i | \(-0.0853364\pi\) |
0.252735 | + | 0.967535i | \(0.418670\pi\) | |||||||
\(272\) | 3.26003 | − | 28.1228i | 0.197668 | − | 1.70520i | ||||
\(273\) | 12.7467 | − | 10.7452i | 0.771466 | − | 0.650330i | ||||
\(274\) | −2.48282 | − | 3.33336i | −0.149993 | − | 0.201376i | ||||
\(275\) | −35.4976 | + | 26.4270i | −2.14059 | + | 1.59361i | ||||
\(276\) | −20.7716 | − | 10.3605i | −1.25030 | − | 0.623631i | ||||
\(277\) | −1.58266 | − | 2.40631i | −0.0950926 | − | 0.144581i | 0.784808 | − | 0.619739i | \(-0.212761\pi\) |
−0.879901 | + | 0.475158i | \(0.842391\pi\) | |||||||
\(278\) | 7.24968 | − | 8.64400i | 0.434807 | − | 0.518433i | ||||
\(279\) | −10.8775 | + | 8.17506i | −0.651217 | + | 0.489428i | ||||
\(280\) | 20.5676 | + | 17.2333i | 1.22915 | + | 1.02989i | ||||
\(281\) | −7.22178 | − | 5.37642i | −0.430815 | − | 0.320730i | 0.359815 | − | 0.933024i | \(-0.382840\pi\) |
−0.790631 | + | 0.612293i | \(0.790247\pi\) | |||||||
\(282\) | −0.678823 | − | 0.637225i | −0.0404233 | − | 0.0379462i | ||||
\(283\) | 3.22081 | − | 3.41386i | 0.191457 | − | 0.202933i | −0.624533 | − | 0.780998i | \(-0.714711\pi\) |
0.815990 | + | 0.578066i | \(0.196192\pi\) | |||||||
\(284\) | 16.0680 | − | 1.88581i | 0.953462 | − | 0.111902i | ||||
\(285\) | −20.7539 | + | 2.47359i | −1.22935 | + | 0.146523i | ||||
\(286\) | 11.5970 | + | 17.6233i | 0.685747 | + | 1.04209i | ||||
\(287\) | 14.9815 | − | 5.45284i | 0.884333 | − | 0.321871i | ||||
\(288\) | −2.06672 | − | 16.8442i | −0.121783 | − | 0.992557i | ||||
\(289\) | 31.0992 | + | 11.3192i | 1.82936 | + | 0.665834i | ||||
\(290\) | −5.18746 | − | 21.8645i | −0.304618 | − | 1.28393i | ||||
\(291\) | 4.73113 | − | 15.9347i | 0.277344 | − | 0.934112i | ||||
\(292\) | −0.780463 | + | 13.5105i | −0.0456732 | + | 0.790642i | ||||
\(293\) | 16.7107 | + | 10.9908i | 0.976252 | + | 0.642091i | 0.934097 | − | 0.357020i | \(-0.116207\pi\) |
0.0421553 | + | 0.999111i | \(0.486578\pi\) | |||||||
\(294\) | 2.98023 | − | 3.56985i | 0.173810 | − | 0.208198i | ||||
\(295\) | −19.9396 | − | 5.96953i | −1.16093 | − | 0.347560i | ||||
\(296\) | 8.38443 | − | 0.00596868i | 0.487335 | − | 0.000346923i | ||||
\(297\) | −1.98847 | + | 18.0804i | −0.115383 | + | 1.04913i | ||||
\(298\) | −8.41710 | + | 1.48622i | −0.487589 | + | 0.0860945i | ||||
\(299\) | −6.58531 | − | 27.7856i | −0.380838 | − | 1.60688i | ||||
\(300\) | 33.6252 | + | 28.0579i | 1.94135 | + | 1.61992i | ||||
\(301\) | −8.97960 | − | 17.8798i | −0.517575 | − | 1.03058i | ||||
\(302\) | 21.1522 | − | 22.4307i | 1.21718 | − | 1.29074i | ||||
\(303\) | 8.87620 | + | 1.01704i | 0.509924 | + | 0.0584275i | ||||
\(304\) | −11.1794 | + | 2.66079i | −0.641185 | + | 0.152607i | ||||
\(305\) | −7.32421 | + | 1.29146i | −0.419383 | + | 0.0739486i | ||||
\(306\) | 29.8418 | + | 3.34345i | 1.70594 | + | 0.191133i | ||||
\(307\) | −2.31458 | + | 13.1266i | −0.132100 | + | 0.749175i | 0.844736 | + | 0.535184i | \(0.179758\pi\) |
−0.976835 | + | 0.213992i | \(0.931353\pi\) | |||||||
\(308\) | −10.8570 | − | 11.4968i | −0.618637 | − | 0.655093i | ||||
\(309\) | 4.54952 | − | 6.95156i | 0.258813 | − | 0.395461i | ||||
\(310\) | 1.56017 | − | 26.8970i | 0.0886115 | − | 1.52765i | ||||
\(311\) | 26.3868 | + | 6.25379i | 1.49626 | + | 0.354620i | 0.895591 | − | 0.444879i | \(-0.146753\pi\) |
0.600668 | + | 0.799499i | \(0.294902\pi\) | |||||||
\(312\) | 14.2813 | − | 15.2281i | 0.808522 | − | 0.862122i | ||||
\(313\) | −6.90878 | − | 16.0164i | −0.390508 | − | 0.905298i | −0.994147 | − | 0.108040i | \(-0.965542\pi\) |
0.603639 | − | 0.797258i | \(-0.293717\pi\) | |||||||
\(314\) | −1.61218 | − | 2.79085i | −0.0909808 | − | 0.157497i | ||||
\(315\) | −18.1950 | + | 21.8851i | −1.02517 | + | 1.23309i | ||||
\(316\) | −0.00183447 | − | 3.86543i | −0.000103197 | − | 0.217447i | ||||
\(317\) | 4.24642 | + | 2.13263i | 0.238502 | + | 0.119780i | 0.564036 | − | 0.825750i | \(-0.309248\pi\) |
−0.325534 | + | 0.945530i | \(0.605544\pi\) | |||||||
\(318\) | −6.32260 | − | 1.87559i | −0.354554 | − | 0.105178i | ||||
\(319\) | 1.53738 | + | 13.1531i | 0.0860768 | + | 0.736434i | ||||
\(320\) | 28.1004 | + | 18.4247i | 1.57086 | + | 1.02997i | ||||
\(321\) | −5.37315 | − | 14.6589i | −0.299900 | − | 0.818179i | ||||
\(322\) | 8.48220 | + | 19.6511i | 0.472695 | + | 1.09511i | ||||
\(323\) | − | 20.3340i | − | 1.13141i | ||||||
\(324\) | 17.8575 | − | 2.26054i | 0.992083 | − | 0.125585i | ||||
\(325\) | 53.8749i | 2.98844i | ||||||||
\(326\) | 5.82529 | − | 2.51442i | 0.322633 | − | 0.139261i | ||||
\(327\) | −2.64414 | + | 3.16574i | −0.146221 | + | 0.175066i | ||||
\(328\) | 17.8349 | − | 8.97292i | 0.984766 | − | 0.495446i | ||||
\(329\) | 0.0996674 | + | 0.852709i | 0.00549484 | + | 0.0470114i | ||||
\(330\) | −24.7809 | − | 26.1345i | −1.36414 | − | 1.43866i | ||||
\(331\) | 17.7664 | + | 8.92264i | 0.976532 | + | 0.490433i | 0.864151 | − | 0.503232i | \(-0.167856\pi\) |
0.112381 | + | 0.993665i | \(0.464152\pi\) | |||||||
\(332\) | −0.00449419 | − | 9.46972i | −0.000246651 | − | 0.519719i | ||||
\(333\) | 0.0404095 | + | 8.89294i | 0.00221442 | + | 0.487330i | ||||
\(334\) | 21.9946 | − | 12.7056i | 1.20349 | − | 0.695217i | ||||
\(335\) | 1.35022 | + | 3.13016i | 0.0737703 | + | 0.171019i | ||||
\(336\) | −8.55678 | + | 13.1017i | −0.466811 | + | 0.714755i | ||||
\(337\) | 4.70519 | + | 1.11515i | 0.256308 | + | 0.0607461i | 0.356761 | − | 0.934196i | \(-0.383881\pi\) |
−0.100453 | + | 0.994942i | \(0.532029\pi\) | |||||||
\(338\) | 7.28583 | + | 0.422617i | 0.396297 | + | 0.0229873i | ||||
\(339\) | 12.5204 | + | 24.7897i | 0.680017 | + | 1.34639i | ||||
\(340\) | −43.2282 | + | 40.8225i | −2.34438 | + | 2.21391i | ||||
\(341\) | −2.75707 | + | 15.6361i | −0.149304 | + | 0.846744i | ||||
\(342\) | −2.86761 | − | 11.8467i | −0.155062 | − | 0.640595i | ||||
\(343\) | −19.7933 | + | 3.49008i | −1.06874 | + | 0.188447i | ||||
\(344\) | −13.7830 | − | 20.9236i | −0.743131 | − | 1.12813i | ||||
\(345\) | 19.4099 | + | 44.7175i | 1.04499 | + | 2.40751i | ||||
\(346\) | 25.0383 | + | 23.6112i | 1.34607 | + | 1.26935i | ||||
\(347\) | 4.66087 | + | 9.28056i | 0.250209 | + | 0.498206i | 0.983316 | − | 0.181907i | \(-0.0582269\pi\) |
−0.733107 | + | 0.680113i | \(0.761931\pi\) | |||||||
\(348\) | 12.3021 | − | 4.51591i | 0.659463 | − | 0.242078i | ||||
\(349\) | −5.01319 | − | 21.1523i | −0.268350 | − | 1.13226i | −0.925575 | − | 0.378563i | \(-0.876418\pi\) |
0.657225 | − | 0.753694i | \(-0.271730\pi\) | |||||||
\(350\) | −7.02168 | − | 39.7668i | −0.375325 | − | 2.12562i | ||||
\(351\) | 16.2098 | + | 15.0856i | 0.865214 | + | 0.805212i | ||||
\(352\) | −15.1844 | − | 12.7105i | −0.809330 | − | 0.677474i | ||||
\(353\) | 10.6085 | + | 3.17598i | 0.564634 | + | 0.169040i | 0.556383 | − | 0.830926i | \(-0.312189\pi\) |
0.00825041 | + | 0.999966i | \(0.497374\pi\) | |||||||
\(354\) | 2.07778 | − | 11.9591i | 0.110433 | − | 0.635618i | ||||
\(355\) | −28.3870 | − | 18.6704i | −1.50663 | − | 0.990924i | ||||
\(356\) | −19.0133 | − | 1.09834i | −1.00770 | − | 0.0582120i | ||||
\(357\) | −19.0471 | − | 20.0970i | −1.00808 | − | 1.06365i | ||||
\(358\) | −18.6604 | + | 4.42727i | −0.986232 | + | 0.233988i | ||||
\(359\) | −28.9943 | − | 10.5531i | −1.53026 | − | 0.556970i | −0.566576 | − | 0.824009i | \(-0.691732\pi\) |
−0.963686 | + | 0.267040i | \(0.913955\pi\) | |||||||
\(360\) | −19.4279 | + | 29.8796i | −1.02394 | + | 1.57480i | ||||
\(361\) | 10.0982 | − | 3.67544i | 0.531484 | − | 0.193444i | ||||
\(362\) | −19.9280 | + | 13.1136i | −1.04739 | + | 0.689237i | ||||
\(363\) | 1.30081 | + | 1.73903i | 0.0682749 | + | 0.0912754i | ||||
\(364\) | −19.1193 | + | 2.24393i | −1.00213 | + | 0.117614i | ||||
\(365\) | 19.5037 | − | 20.6728i | 1.02087 | − | 1.08206i | ||||
\(366\) | −1.25434 | − | 4.15185i | −0.0655656 | − | 0.217021i | ||||
\(367\) | −11.2928 | − | 8.40714i | −0.589477 | − | 0.438849i | 0.260645 | − | 0.965435i | \(-0.416065\pi\) |
−0.850122 | + | 0.526585i | \(0.823472\pi\) | |||||||
\(368\) | 13.4235 | + | 23.1993i | 0.699748 | + | 1.20935i | ||||
\(369\) | 9.58963 | + | 18.8801i | 0.499216 | + | 0.982860i | ||||
\(370\) | −13.4915 | − | 11.3153i | −0.701390 | − | 0.588253i | ||||
\(371\) | 3.34163 | + | 5.08071i | 0.173489 | + | 0.263777i | ||||
\(372\) | 15.6829 | − | 0.956651i | 0.813119 | − | 0.0496000i | ||||
\(373\) | 26.2562 | − | 19.5470i | 1.35949 | − | 1.01211i | 0.362715 | − | 0.931900i | \(-0.381850\pi\) |
0.996778 | − | 0.0802049i | \(-0.0255575\pi\) | |||||||
\(374\) | 28.1004 | − | 20.9304i | 1.45304 | − | 1.08228i | ||||
\(375\) | −9.77877 | − | 54.7307i | −0.504974 | − | 2.82628i | ||||
\(376\) | 0.248676 | + | 1.04593i | 0.0128245 | + | 0.0539397i | ||||
\(377\) | 13.9616 | + | 8.06072i | 0.719058 | + | 0.415148i | ||||
\(378\) | −13.9311 | − | 9.02252i | −0.716539 | − | 0.464068i | ||||
\(379\) | −7.63061 | − | 13.2166i | −0.391958 | − | 0.678892i | 0.600750 | − | 0.799437i | \(-0.294869\pi\) |
−0.992708 | + | 0.120546i | \(0.961536\pi\) | |||||||
\(380\) | 21.5722 | + | 10.8211i | 1.10663 | + | 0.555113i | ||||
\(381\) | 13.2877 | + | 7.63147i | 0.680751 | + | 0.390972i | ||||
\(382\) | −1.90779 | − | 16.2887i | −0.0976109 | − | 0.833400i | ||||
\(383\) | 8.41308 | − | 19.5037i | 0.429888 | − | 0.996593i | −0.556303 | − | 0.830980i | \(-0.687780\pi\) |
0.986191 | − | 0.165613i | \(-0.0529603\pi\) | |||||||
\(384\) | −8.72569 | + | 17.5460i | −0.445281 | + | 0.895391i | ||||
\(385\) | 1.93096 | + | 33.1533i | 0.0984107 | + | 1.68965i | ||||
\(386\) | 31.2863 | + | 5.50896i | 1.59243 | + | 0.280399i | ||||
\(387\) | 22.1367 | − | 14.7041i | 1.12527 | − | 0.747449i | ||||
\(388\) | −14.6974 | + | 12.3445i | −0.746148 | + | 0.626696i | ||||
\(389\) | 4.13848 | + | 0.483719i | 0.209829 | + | 0.0245255i | 0.220358 | − | 0.975419i | \(-0.429277\pi\) |
−0.0105289 | + | 0.999945i | \(0.503352\pi\) | |||||||
\(390\) | −43.5352 | + | 5.19930i | −2.20449 | + | 0.263277i | ||||
\(391\) | −45.4340 | + | 13.6020i | −2.29770 | + | 0.687885i | ||||
\(392\) | −5.14306 | + | 1.54372i | −0.259764 | + | 0.0779696i | ||||
\(393\) | −22.3660 | − | 21.0054i | −1.12821 | − | 1.05958i | ||||
\(394\) | −18.2092 | + | 1.06490i | −0.917368 | + | 0.0536490i | ||||
\(395\) | −5.21809 | + | 6.21868i | −0.262551 | + | 0.312896i | ||||
\(396\) | 13.4197 | − | 16.1570i | 0.674367 | − | 0.811920i | ||||
\(397\) | 2.80417 | + | 3.34188i | 0.140737 | + | 0.167724i | 0.831809 | − | 0.555062i | \(-0.187306\pi\) |
−0.691072 | + | 0.722786i | \(0.742861\pi\) | |||||||
\(398\) | 6.03184 | + | 6.39034i | 0.302349 | + | 0.320319i | ||||
\(399\) | −5.02131 | + | 10.0551i | −0.251380 | + | 0.503387i | ||||
\(400\) | −14.5493 | − | 48.4306i | −0.727463 | − | 2.42153i | ||||
\(401\) | −28.8477 | − | 1.68019i | −1.44059 | − | 0.0839047i | −0.680034 | − | 0.733180i | \(-0.738035\pi\) |
−0.760553 | + | 0.649276i | \(0.775072\pi\) | |||||||
\(402\) | −1.71918 | + | 0.998327i | −0.0857447 | + | 0.0497920i | ||||
\(403\) | 13.2643 | + | 14.0593i | 0.660740 | + | 0.700343i | ||||
\(404\) | −7.90597 | − | 6.62751i | −0.393337 | − | 0.329731i | ||||
\(405\) | −31.7709 | − | 20.4848i | −1.57871 | − | 1.01790i | ||||
\(406\) | −11.3561 | − | 4.13021i | −0.563592 | − | 0.204979i | ||||
\(407\) | 7.12101 | + | 7.54783i | 0.352976 | + | 0.374132i | ||||
\(408\) | −26.6282 | − | 22.2086i | −1.31829 | − | 1.09949i | ||||
\(409\) | −0.976374 | + | 16.7637i | −0.0482786 | + | 0.828911i | 0.884071 | + | 0.467353i | \(0.154792\pi\) |
−0.932350 | + | 0.361558i | \(0.882245\pi\) | |||||||
\(410\) | −40.8009 | − | 9.65977i | −2.01501 | − | 0.477062i | ||||
\(411\) | −5.08124 | + | 0.307534i | −0.250639 | + | 0.0151695i | ||||
\(412\) | −8.80684 | + | 3.80386i | −0.433882 | + | 0.187403i | ||||
\(413\) | −8.57400 | + | 7.19444i | −0.421899 | + | 0.354015i | ||||
\(414\) | −24.5518 | + | 14.3320i | −1.20666 | + | 0.704378i | ||||
\(415\) | −12.7835 | + | 15.2348i | −0.627519 | + | 0.747848i | ||||
\(416\) | −23.4504 | + | 5.58723i | −1.14975 | + | 0.273937i | ||||
\(417\) | −3.99288 | − | 13.2277i | −0.195532 | − | 0.647763i | ||||
\(418\) | −11.8846 | − | 7.81258i | −0.581294 | − | 0.382126i | ||||
\(419\) | −5.81088 | + | 1.73966i | −0.283880 | + | 0.0849882i | −0.425578 | − | 0.904922i | \(-0.639929\pi\) |
0.141698 | + | 0.989910i | \(0.454744\pi\) | |||||||
\(420\) | 31.4571 | − | 9.51185i | 1.53495 | − | 0.464131i | ||||
\(421\) | 0.530509 | − | 4.53880i | 0.0258554 | − | 0.221207i | −0.974133 | − | 0.225975i | \(-0.927443\pi\) |
0.999989 | + | 0.00476717i | \(0.00151744\pi\) | |||||||
\(422\) | 22.1133 | + | 12.7601i | 1.07646 | + | 0.621153i | ||||
\(423\) | −1.10836 | + | 0.268010i | −0.0538901 | + | 0.0130311i | ||||
\(424\) | 4.89909 | + | 5.83007i | 0.237921 | + | 0.283133i | ||||
\(425\) | 89.3273 | − | 5.20273i | 4.33301 | − | 0.252369i | ||||
\(426\) | 8.84819 | − | 17.7290i | 0.428696 | − | 0.858972i | ||||
\(427\) | −1.58404 | + | 3.67221i | −0.0766569 | + | 0.177711i | ||||
\(428\) | −4.14919 | + | 17.5439i | −0.200559 | + | 0.848017i | ||||
\(429\) | 25.8381 | − | 0.0587036i | 1.24747 | − | 0.00283424i | ||||
\(430\) | −6.09635 | + | 52.2651i | −0.293992 | + | 2.52045i | ||||
\(431\) | 9.40692 | + | 16.2933i | 0.453116 | + | 0.784819i | 0.998578 | − | 0.0533163i | \(-0.0169792\pi\) |
−0.545462 | + | 0.838135i | \(0.683646\pi\) | |||||||
\(432\) | −18.6457 | − | 9.18361i | −0.897091 | − | 0.441847i | ||||
\(433\) | −19.8509 | + | 34.3828i | −0.953976 | + | 1.65233i | −0.217280 | + | 0.976109i | \(0.569719\pi\) |
−0.736695 | + | 0.676225i | \(0.763615\pi\) | |||||||
\(434\) | −11.6231 | − | 8.64883i | −0.557929 | − | 0.415157i | ||||
\(435\) | −25.8833 | − | 9.35423i | −1.24101 | − | 0.448501i | ||||
\(436\) | 4.56209 | − | 1.36816i | 0.218485 | − | 0.0655230i | ||||
\(437\) | 11.4958 | + | 15.4415i | 0.549917 | + | 0.738666i | ||||
\(438\) | 13.3196 | + | 9.86421i | 0.636434 | + | 0.471330i | ||||
\(439\) | 16.4915 | + | 25.0740i | 0.787094 | + | 1.19672i | 0.976648 | + | 0.214848i | \(0.0689256\pi\) |
−0.189554 | + | 0.981870i | \(0.560704\pi\) | |||||||
\(440\) | 7.25066 | + | 40.9500i | 0.345661 | + | 1.95222i | ||||
\(441\) | −1.65825 | − | 5.44872i | −0.0789645 | − | 0.259463i | ||||
\(442\) | −0.0101219 | − | 42.6556i | −0.000481448 | − | 2.02892i | ||||
\(443\) | 12.7489 | + | 9.49121i | 0.605719 | + | 0.450941i | 0.855816 | − | 0.517280i | \(-0.173055\pi\) |
−0.250098 | + | 0.968221i | \(0.580463\pi\) | |||||||
\(444\) | 5.61921 | − | 8.59492i | 0.266676 | − | 0.407897i | ||||
\(445\) | 29.0927 | + | 27.4475i | 1.37913 | + | 1.30114i | ||||
\(446\) | 0.0330756 | − | 0.0166210i | 0.00156618 | − | 0.000787029i | ||||
\(447\) | −4.12442 | + | 9.62153i | −0.195078 | + | 0.455083i | ||||
\(448\) | 16.5812 | − | 7.18047i | 0.783390 | − | 0.339245i | ||||
\(449\) | 5.00577 | + | 13.7532i | 0.236237 | + | 0.649055i | 0.999994 | + | 0.00355140i | \(0.00113045\pi\) |
−0.763757 | + | 0.645504i | \(0.776647\pi\) | |||||||
\(450\) | 51.3089 | − | 15.6286i | 2.41872 | − | 0.736737i | ||||
\(451\) | 23.2190 | + | 8.45102i | 1.09334 | + | 0.397943i | ||||
\(452\) | 3.70780 | − | 31.8534i | 0.174400 | − | 1.49826i | ||||
\(453\) | −8.79156 | − | 36.7225i | −0.413063 | − | 1.72537i | ||||
\(454\) | 7.12429 | + | 23.7763i | 0.334360 | + | 1.11587i | ||||
\(455\) | 33.7777 | + | 22.2159i | 1.58352 | + | 1.04150i | ||||
\(456\) | −4.77425 | + | 13.2399i | −0.223575 | + | 0.620017i | ||||
\(457\) | −11.1088 | + | 37.1059i | −0.519647 | + | 1.73574i | 0.145816 | + | 0.989312i | \(0.453419\pi\) |
−0.665463 | + | 0.746431i | \(0.731766\pi\) | |||||||
\(458\) | 10.0548 | − | 8.44105i | 0.469830 | − | 0.394424i | ||||
\(459\) | 23.4474 | − | 28.3335i | 1.09443 | − | 1.32249i | ||||
\(460\) | 9.74829 | − | 55.4392i | 0.454517 | − | 2.58486i | ||||
\(461\) | −27.7148 | + | 6.56852i | −1.29081 | + | 0.305926i | −0.817989 | − | 0.575234i | \(-0.804911\pi\) |
−0.472817 | + | 0.881161i | \(0.656763\pi\) | |||||||
\(462\) | −19.0642 | + | 3.41088i | −0.886948 | + | 0.158689i | ||||
\(463\) | 13.9950 | + | 27.8664i | 0.650405 | + | 1.29506i | 0.941062 | + | 0.338235i | \(0.109830\pi\) |
−0.290657 | + | 0.956827i | \(0.593874\pi\) | |||||||
\(464\) | −14.7275 | − | 3.47573i | −0.683709 | − | 0.161357i | ||||
\(465\) | −26.5126 | − | 19.6444i | −1.22949 | − | 0.910989i | ||||
\(466\) | −4.32309 | + | 14.4526i | −0.200263 | + | 0.669505i | ||||
\(467\) | −17.7581 | + | 3.13123i | −0.821745 | + | 0.144896i | −0.568686 | − | 0.822555i | \(-0.692548\pi\) |
−0.253060 | + | 0.967451i | \(0.581437\pi\) | |||||||
\(468\) | −6.02143 | − | 24.8500i | −0.278341 | − | 1.14869i | ||||
\(469\) | 1.80529 | + | 0.318321i | 0.0833604 | + | 0.0146987i | ||||
\(470\) | 1.01283 | − | 2.01790i | 0.0467183 | − | 0.0930789i | ||||
\(471\) | −3.94124 | − | 0.220567i | −0.181603 | − | 0.0101632i | ||||
\(472\) | −9.61113 | + | 10.2017i | −0.442388 | + | 0.469573i | ||||
\(473\) | 7.15123 | − | 30.1734i | 0.328814 | − | 1.38737i | ||||
\(474\) | −3.96185 | − | 2.59153i | −0.181974 | − | 0.119033i | ||||
\(475\) | −14.3857 | − | 33.3497i | −0.660060 | − | 1.53019i | ||||
\(476\) | 5.56691 | + | 31.4841i | 0.255159 | + | 1.44307i | ||||
\(477\) | −6.16377 | + | 5.21993i | −0.282220 | + | 0.239004i | ||||
\(478\) | 6.14708 | + | 16.8765i | 0.281161 | + | 0.771914i | ||||
\(479\) | −25.3061 | − | 12.7092i | −1.15627 | − | 0.580698i | −0.235907 | − | 0.971776i | \(-0.575806\pi\) |
−0.920358 | + | 0.391077i | \(0.872103\pi\) | |||||||
\(480\) | 37.7317 | − | 16.4309i | 1.72221 | − | 0.749962i | ||||
\(481\) | 12.5472 | − | 1.46656i | 0.572102 | − | 0.0668692i | ||||
\(482\) | 31.5337 | + | 13.5934i | 1.43632 | + | 0.619164i | ||||
\(483\) | 25.8260 | + | 4.49334i | 1.17512 | + | 0.204454i | ||||
\(484\) | −0.146997 | − | 2.50337i | −0.00668166 | − | 0.113789i | ||||
\(485\) | 40.3094 | 1.83035 | ||||||||
\(486\) | 9.66483 | − | 19.8139i | 0.438406 | − | 0.898777i | ||||
\(487\) | 7.06417i | 0.320108i | 0.987108 | + | 0.160054i | \(0.0511668\pi\) | ||||
−0.987108 | + | 0.160054i | \(0.948833\pi\) | |||||||
\(488\) | −1.43294 | + | 4.79879i | −0.0648662 | + | 0.217231i | ||||
\(489\) | 1.33199 | − | 7.65574i | 0.0602345 | − | 0.346204i | ||||
\(490\) | 10.3559 | + | 4.46419i | 0.467833 | + | 0.201672i | ||||
\(491\) | −1.83079 | − | 15.6634i | −0.0826225 | − | 0.706880i | −0.969537 | − | 0.244946i | \(-0.921230\pi\) |
0.886914 | − | 0.461934i | \(-0.152844\pi\) | |||||||
\(492\) | 2.77197 | − | 24.2942i | 0.124970 | − | 1.09527i | ||||
\(493\) | 12.0168 | − | 23.9274i | 0.541210 | − | 1.07764i | ||||
\(494\) | −16.2687 | + | 5.92569i | −0.731963 | + | 0.266609i | ||||
\(495\) | −43.4043 | + | 7.85687i | −1.95088 | + | 0.353140i | ||||
\(496\) | −15.7206 | − | 9.05643i | −0.705877 | − | 0.406646i | ||||
\(497\) | −16.7764 | + | 7.23661i | −0.752523 | + | 0.324607i | ||||
\(498\) | −9.70595 | − | 6.34887i | −0.434934 | − | 0.284500i | ||||
\(499\) | −11.6804 | − | 2.76830i | −0.522885 | − | 0.123926i | −0.0393070 | − | 0.999227i | \(-0.512515\pi\) |
−0.483578 | + | 0.875301i | \(0.660663\pi\) | |||||||
\(500\) | −25.3997 | + | 58.9601i | −1.13591 | + | 2.63678i | ||||
\(501\) | 1.73828 | − | 31.0607i | 0.0776608 | − | 1.38769i | ||||
\(502\) | 2.62385 | + | 1.31697i | 0.117108 | + | 0.0587792i | ||||
\(503\) | −1.60324 | + | 9.09243i | −0.0714850 | + | 0.405411i | 0.927978 | + | 0.372636i | \(0.121546\pi\) |
−0.999463 | + | 0.0327759i | \(0.989565\pi\) | |||||||
\(504\) | 7.68337 | + | 17.5577i | 0.342245 | + | 0.782084i | ||||
\(505\) | 3.76223 | + | 21.3367i | 0.167417 | + | 0.949469i | ||||
\(506\) | −9.50634 | + | 31.7808i | −0.422608 | + | 1.41283i | ||||
\(507\) | 5.32127 | − | 7.18171i | 0.236326 | − | 0.318951i | ||||
\(508\) | −7.94847 | − | 15.8080i | −0.352656 | − | 0.701366i | ||||
\(509\) | 21.8539 | − | 10.9755i | 0.968659 | − | 0.486479i | 0.107162 | − | 0.994242i | \(-0.465824\pi\) |
0.861497 | + | 0.507763i | \(0.169527\pi\) | |||||||
\(510\) | 12.8249 | + | 71.6815i | 0.567897 | + | 3.17411i | ||||
\(511\) | −3.52455 | − | 14.8712i | −0.155917 | − | 0.657865i | ||||
\(512\) | 19.5717 | − | 11.3555i | 0.864956 | − | 0.501848i | ||||
\(513\) | −14.0624 | − | 5.01001i | −0.620869 | − | 0.221197i | ||||
\(514\) | −5.48592 | + | 4.60545i | −0.241973 | + | 0.203138i | ||||
\(515\) | 19.3006 | + | 5.77823i | 0.850487 | + | 0.254619i | ||||
\(516\) | −30.6863 | + | 0.0842821i | −1.35089 | + | 0.00371031i | ||||
\(517\) | −0.731154 | + | 1.11167i | −0.0321561 | + | 0.0488910i | ||||
\(518\) | −9.07033 | + | 2.71782i | −0.398527 | + | 0.119414i | ||||
\(519\) | 40.9915 | − | 9.81358i | 1.79933 | − | 0.430768i | ||||
\(520\) | 45.2584 | + | 22.6893i | 1.98471 | + | 0.994992i | ||||
\(521\) | 4.08962 | − | 11.2361i | 0.179170 | − | 0.492265i | −0.817301 | − | 0.576212i | \(-0.804530\pi\) |
0.996470 | + | 0.0839470i | \(0.0267526\pi\) | |||||||
\(522\) | 3.62668 | − | 15.6349i | 0.158735 | − | 0.684322i | ||||
\(523\) | −12.4802 | + | 4.54242i | −0.545721 | + | 0.198626i | −0.600144 | − | 0.799892i | \(-0.704890\pi\) |
0.0544235 | + | 0.998518i | \(0.482668\pi\) | |||||||
\(524\) | 8.18707 | + | 34.4710i | 0.357654 | + | 1.50587i | ||||
\(525\) | −45.4571 | − | 19.4859i | −1.98391 | − | 0.850434i | ||||
\(526\) | 2.43848 | + | 4.85255i | 0.106323 | + | 0.211581i | ||||
\(527\) | 22.0301 | − | 23.3505i | 0.959645 | − | 1.01716i | ||||
\(528\) | −23.2111 | + | 7.03050i | −1.01013 | + | 0.305963i | ||||
\(529\) | 13.0777 | − | 17.5664i | 0.568596 | − | 0.763757i | ||||
\(530\) | −0.00379498 | − | 15.9929i | −0.000164843 | − | 0.694685i | ||||
\(531\) | −10.8596 | − | 10.1526i | −0.471265 | − | 0.440585i | ||||
\(532\) | 11.2361 | − | 6.49429i | 0.487147 | − | 0.281563i | ||||
\(533\) | 25.1319 | − | 16.5295i | 1.08858 | − | 0.715973i | ||||
\(534\) | −13.8819 | + | 18.7446i | −0.600727 | + | 0.811157i | ||||
\(535\) | 30.3691 | − | 22.6090i | 1.31297 | − | 0.977471i | ||||
\(536\) | 2.29178 | + | 0.131844i | 0.0989898 | + | 0.00569479i | ||||
\(537\) | −7.98342 | + | 22.0903i | −0.344510 | + | 0.953266i | ||||
\(538\) | 33.7246 | + | 25.0946i | 1.45397 | + | 1.08190i | ||||
\(539\) | −5.75539 | − | 3.32288i | −0.247902 | − | 0.143126i | ||||
\(540\) | 17.5808 | + | 39.9534i | 0.756556 | + | 1.71932i | ||||
\(541\) | 22.9440 | − | 13.2467i | 0.986438 | − | 0.569520i | 0.0822302 | − | 0.996613i | \(-0.473796\pi\) |
0.904208 | + | 0.427093i | \(0.140462\pi\) | |||||||
\(542\) | −32.4960 | − | 3.79042i | −1.39582 | − | 0.162813i | ||||
\(543\) | 0.0663806 | + | 29.2170i | 0.00284867 | + | 1.25382i | ||||
\(544\) | 11.5285 | + | 38.3423i | 0.494282 | + | 1.64391i | ||||
\(545\) | −9.18451 | − | 3.96181i | −0.393421 | − | 0.169705i | ||||
\(546\) | −10.5285 | + | 21.0957i | −0.450576 | + | 0.902812i | ||||
\(547\) | −1.05365 | − | 18.0905i | −0.0450508 | − | 0.773492i | −0.942877 | − | 0.333142i | \(-0.891891\pi\) |
0.897826 | − | 0.440351i | \(-0.145146\pi\) | |||||||
\(548\) | 5.09193 | + | 2.93661i | 0.217517 | + | 0.125446i | ||||
\(549\) | −5.09567 | − | 1.50035i | −0.217478 | − | 0.0640333i | ||||
\(550\) | 31.2799 | − | 54.2080i | 1.33378 | − | 2.31144i | ||||
\(551\) | −10.7949 | − | 1.26174i | −0.459878 | − | 0.0537520i | ||||
\(552\) | 32.7768 | + | 1.81091i | 1.39507 | + | 0.0770776i | ||||
\(553\) | 1.25199 | + | 4.18194i | 0.0532401 | + | 0.177834i | ||||
\(554\) | 3.40357 | + | 2.23741i | 0.144604 | + | 0.0950582i | ||||
\(555\) | −20.6457 | + | 6.23206i | −0.876361 | + | 0.264536i | ||||
\(556\) | −4.56861 | + | 15.2866i | −0.193752 | + | 0.648297i | ||||
\(557\) | 1.25194 | + | 1.05050i | 0.0530463 | + | 0.0445111i | 0.668925 | − | 0.743330i | \(-0.266755\pi\) |
−0.615879 | + | 0.787841i | \(0.711199\pi\) | |||||||
\(558\) | 9.54182 | − | 16.7109i | 0.403938 | − | 0.707430i | ||||
\(559\) | −24.2654 | − | 28.9183i | −1.02632 | − | 1.22312i | ||||
\(560\) | −36.3638 | − | 10.8490i | −1.53665 | − | 0.458455i | ||||
\(561\) | −2.59253 | − | 42.8351i | −0.109457 | − | 1.80850i | ||||
\(562\) | 12.3901 | + | 2.93341i | 0.522646 | + | 0.123738i | ||||
\(563\) | −12.4308 | − | 0.724013i | −0.523897 | − | 0.0305135i | −0.205841 | − | 0.978585i | \(-0.565993\pi\) |
−0.318056 | + | 0.948072i | \(0.603030\pi\) | |||||||
\(564\) | 1.23853 | + | 0.446940i | 0.0521515 | + | 0.0188196i | ||||
\(565\) | −48.9871 | + | 46.2170i | −2.06090 | + | 1.94436i | ||||
\(566\) | −2.26867 | + | 6.23772i | −0.0953593 | + | 0.262191i | ||||
\(567\) | −18.5914 | + | 8.22075i | −0.780767 | + | 0.345239i | ||||
\(568\) | −19.8062 | + | 11.4539i | −0.831048 | + | 0.480595i | ||||
\(569\) | 6.69673 | − | 6.31804i | 0.280742 | − | 0.264866i | −0.532971 | − | 0.846134i | \(-0.678924\pi\) |
0.813713 | + | 0.581267i | \(0.197443\pi\) | |||||||
\(570\) | 25.5609 | − | 14.8433i | 1.07063 | − | 0.621716i | ||||
\(571\) | 1.20186 | − | 20.6352i | 0.0502965 | − | 0.863557i | −0.874955 | − | 0.484204i | \(-0.839109\pi\) |
0.925252 | − | 0.379353i | \(-0.123854\pi\) | |||||||
\(572\) | −24.9348 | − | 16.3829i | −1.04258 | − | 0.685005i | ||||
\(573\) | −17.9698 | − | 8.97369i | −0.750698 | − | 0.374881i | ||||
\(574\) | −16.3963 | + | 15.4765i | −0.684369 | + | 0.645976i | ||||
\(575\) | −64.8932 | + | 54.4518i | −2.70623 | + | 2.27080i | ||||
\(576\) | 12.1238 | + | 20.7126i | 0.505159 | + | 0.863026i | ||||
\(577\) | −3.84590 | − | 3.22709i | −0.160107 | − | 0.134346i | 0.559215 | − | 0.829023i | \(-0.311103\pi\) |
−0.719322 | + | 0.694677i | \(0.755547\pi\) | |||||||
\(578\) | −46.7236 | + | 2.73247i | −1.94345 | + | 0.113656i | ||||
\(579\) | 26.6354 | − | 28.3607i | 1.10693 | − | 1.17863i | ||||
\(580\) | 18.9895 | + | 25.4820i | 0.788494 | + | 1.05808i | ||||
\(581\) | 3.06719 | + | 10.2451i | 0.127249 | + | 0.425040i | ||||
\(582\) | 2.78763 | + | 23.3416i | 0.115551 | + | 0.967539i | ||||
\(583\) | −1.09415 | + | 9.36104i | −0.0453150 | + | 0.387695i | ||||
\(584\) | −6.55858 | − | 17.9797i | −0.271396 | − | 0.744006i | ||||
\(585\) | −23.8815 | + | 48.0957i | −0.987379 | + | 1.98851i | ||||
\(586\) | −27.8574 | − | 4.90519i | −1.15078 | − | 0.202632i | ||||
\(587\) | −22.4490 | + | 1.30750i | −0.926567 | + | 0.0539664i | −0.514788 | − | 0.857317i | \(-0.672130\pi\) |
−0.411779 | + | 0.911284i | \(0.635092\pi\) | |||||||
\(588\) | −1.86887 | + | 6.30543i | −0.0770708 | + | 0.260032i | ||||
\(589\) | −11.9650 | − | 5.16119i | −0.493008 | − | 0.212663i | ||||
\(590\) | 29.2357 | − | 3.42419i | 1.20361 | − | 0.140972i | ||||
\(591\) | −11.1259 | + | 19.3721i | −0.457658 | + | 0.796863i | ||||
\(592\) | −10.8832 | + | 4.70680i | −0.447296 | + | 0.193448i | ||||
\(593\) | −40.6437 | + | 23.4656i | −1.66904 | + | 0.963619i | −0.700878 | + | 0.713281i | \(0.747208\pi\) |
−0.968159 | + | 0.250337i | \(0.919459\pi\) | |||||||
\(594\) | −7.55126 | − | 24.5904i | −0.309832 | − | 1.00895i | ||||
\(595\) | 33.5732 | − | 58.1505i | 1.37637 | − | 2.38394i | ||||
\(596\) | 10.0960 | − | 6.64710i | 0.413548 | − | 0.272276i | ||||
\(597\) | 10.5946 | − | 1.89295i | 0.433609 | − | 0.0774731i | ||||
\(598\) | 24.1229 | + | 32.3867i | 0.986459 | + | 1.32439i | ||||
\(599\) | −8.17853 | − | 10.9857i | −0.334166 | − | 0.448862i | 0.603003 | − | 0.797739i | \(-0.293971\pi\) |
−0.937169 | + | 0.348876i | \(0.886563\pi\) | |||||||
\(600\) | −59.3847 | − | 17.5857i | −2.42437 | − | 0.717934i | ||||
\(601\) | −8.94096 | + | 5.88056i | −0.364709 | + | 0.239873i | −0.718615 | − | 0.695408i | \(-0.755224\pi\) |
0.353906 | + | 0.935281i | \(0.384853\pi\) | |||||||
\(602\) | 21.6800 | + | 18.1830i | 0.883613 | + | 0.741082i | ||||
\(603\) | −0.130526 | + | 2.43132i | −0.00531541 | + | 0.0990108i | ||||
\(604\) | −14.8932 | + | 40.9793i | −0.605997 | + | 1.66742i | ||||
\(605\) | −3.14491 | + | 4.22434i | −0.127859 | + | 0.171744i | ||||
\(606\) | −12.0950 | + | 3.65411i | −0.491327 | + | 0.148438i | ||||
\(607\) | 12.1982 | + | 11.5084i | 0.495111 | + | 0.467113i | 0.892830 | − | 0.450394i | \(-0.148717\pi\) |
−0.397719 | + | 0.917507i | \(0.630198\pi\) | |||||||
\(608\) | 13.0244 | − | 9.72033i | 0.528208 | − | 0.394212i | ||||
\(609\) | −11.8510 | + | 8.86465i | −0.480226 | + | 0.359214i | ||||
\(610\) | 8.78611 | − | 5.78171i | 0.355739 | − | 0.234094i | ||||
\(611\) | 0.554005 | + | 1.52212i | 0.0224126 | + | 0.0615782i | ||||
\(612\) | −40.6210 | + | 12.3836i | −1.64201 | + | 0.500578i | ||||
\(613\) | 1.81012 | − | 4.97328i | 0.0731102 | − | 0.200869i | −0.897755 | − | 0.440495i | \(-0.854803\pi\) |
0.970865 | + | 0.239627i | \(0.0770250\pi\) | |||||||
\(614\) | −4.35151 | − | 18.3411i | −0.175613 | − | 0.740185i | ||||
\(615\) | −37.2720 | + | 35.3247i | −1.50295 | + | 1.42443i | ||||
\(616\) | 20.5404 | + | 8.84292i | 0.827596 | + | 0.356291i | ||||
\(617\) | 12.5608 | − | 19.0977i | 0.505677 | − | 0.768844i | −0.488956 | − | 0.872308i | \(-0.662622\pi\) |
0.994633 | + | 0.103464i | \(0.0329927\pi\) | |||||||
\(618\) | −2.01119 | + | 11.5758i | −0.0809021 | + | 0.465648i | ||||
\(619\) | 9.98471 | − | 33.3513i | 0.401319 | − | 1.34050i | −0.483817 | − | 0.875169i | \(-0.660750\pi\) |
0.885137 | − | 0.465331i | \(-0.154065\pi\) | |||||||
\(620\) | 13.0486 | + | 35.7980i | 0.524046 | + | 1.43768i | ||||
\(621\) | −1.78753 | + | 34.7721i | −0.0717310 | + | 1.39536i | ||||
\(622\) | −37.7661 | + | 6.66842i | −1.51428 | + | 0.267379i | ||||
\(623\) | 20.9282 | − | 4.96008i | 0.838471 | − | 0.198721i | ||||
\(624\) | −10.0086 | + | 27.7765i | −0.400665 | + | 1.11195i | ||||
\(625\) | 63.9967 | − | 32.1403i | 2.55987 | − | 1.28561i | ||||
\(626\) | 17.9469 | + | 16.9239i | 0.717301 | + | 0.676417i | ||||
\(627\) | −15.9786 | + | 6.93561i | −0.638125 | + | 0.276982i | ||||
\(628\) | 3.65743 | + | 2.72016i | 0.145947 | + | 0.108546i | ||||
\(629\) | −3.64331 | − | 20.6622i | −0.145268 | − | 0.823858i | ||||
\(630\) | 11.3592 | − | 38.6135i | 0.452563 | − | 1.53840i | ||||
\(631\) | 24.4244 | + | 4.30667i | 0.972318 | + | 0.171446i | 0.637173 | − | 0.770721i | \(-0.280104\pi\) |
0.335145 | + | 0.942167i | \(0.391215\pi\) | |||||||
\(632\) | 2.16876 | + | 5.01793i | 0.0862686 | + | 0.199602i | ||||
\(633\) | 27.9107 | − | 14.0968i | 1.10935 | − | 0.560297i | ||||
\(634\) | −6.70886 | − | 0.389150i | −0.266443 | − | 0.0154551i | ||||
\(635\) | −8.56952 | + | 36.1577i | −0.340071 | + | 1.43487i | ||||
\(636\) | 9.26057 | − | 1.10820i | 0.367205 | − | 0.0439428i | ||||
\(637\) | −7.42877 | + | 3.20446i | −0.294339 | + | 0.126965i | ||||
\(638\) | −9.36784 | − | 16.2167i | −0.370876 | − | 0.642025i | ||||
\(639\) | −12.2291 | − | 20.9609i | −0.483776 | − | 0.829200i | ||||
\(640\) | −46.8122 | − | 8.17411i | −1.85042 | − | 0.323110i | ||||
\(641\) | −19.0354 | + | 37.9026i | −0.751852 | + | 1.49706i | 0.112215 | + | 0.993684i | \(0.464206\pi\) |
−0.864067 | + | 0.503377i | \(0.832091\pi\) | |||||||
\(642\) | 15.1922 | + | 16.0220i | 0.599587 | + | 0.632339i | ||||
\(643\) | −9.86052 | + | 1.15253i | −0.388861 | + | 0.0454513i | −0.308277 | − | 0.951297i | \(-0.599753\pi\) |
−0.0805837 | + | 0.996748i | \(0.525678\pi\) | |||||||
\(644\) | −22.0269 | − | 20.7616i | −0.867983 | − | 0.818121i | ||||
\(645\) | 49.4621 | + | 41.3125i | 1.94757 | + | 1.62668i | ||||
\(646\) | 11.3962 | + | 26.4021i | 0.448376 | + | 1.03878i | ||||
\(647\) | −15.0137 | −0.590251 | −0.295126 | − | 0.955458i | \(-0.595361\pi\) | ||||
−0.295126 | + | 0.955458i | \(0.595361\pi\) | |||||||
\(648\) | −21.9196 | + | 12.9433i | −0.861084 | + | 0.508463i | ||||
\(649\) | −17.3467 | −0.680916 | ||||||||
\(650\) | −30.1942 | − | 69.9523i | −1.18431 | − | 2.74376i | ||||
\(651\) | −16.6601 | + | 6.10667i | −0.652960 | + | 0.239339i | ||||
\(652\) | −6.15447 | + | 6.52956i | −0.241028 | + | 0.255717i | ||||
\(653\) | −14.8710 | + | 1.73817i | −0.581948 | + | 0.0680200i | −0.401973 | − | 0.915651i | \(-0.631676\pi\) |
−0.179974 | + | 0.983671i | \(0.557602\pi\) | |||||||
\(654\) | 1.65897 | − | 5.59237i | 0.0648708 | − | 0.218679i | ||||
\(655\) | 33.3940 | − | 66.4930i | 1.30481 | − | 2.59810i | ||||
\(656\) | −18.1283 | + | 21.6462i | −0.707791 | + | 0.845141i | ||||
\(657\) | 19.0436 | − | 7.02945i | 0.742960 | − | 0.274245i | ||||
\(658\) | −0.607310 | − | 1.05132i | −0.0236754 | − | 0.0409846i | ||||
\(659\) | 9.64533 | − | 4.16059i | 0.375729 | − | 0.162074i | −0.199837 | − | 0.979829i | \(-0.564041\pi\) |
0.575566 | + | 0.817756i | \(0.304782\pi\) | |||||||
\(660\) | 46.8231 | + | 20.0452i | 1.82259 | + | 0.780257i | ||||
\(661\) | 3.67552 | − | 15.5082i | 0.142961 | − | 0.603200i | −0.853643 | − | 0.520858i | \(-0.825612\pi\) |
0.996604 | − | 0.0823417i | \(-0.0262399\pi\) | |||||||
\(662\) | −28.0690 | − | 1.62815i | −1.09093 | − | 0.0632799i | ||||
\(663\) | −43.7129 | − | 28.6084i | −1.69767 | − | 1.11106i | ||||
\(664\) | 5.31314 | + | 12.2932i | 0.206190 | + | 0.477067i | ||||
\(665\) | −26.8412 | − | 4.73283i | −1.04086 | − | 0.183531i | ||||
\(666\) | −5.03651 | − | 11.5241i | −0.195161 | − | 0.446551i | ||||
\(667\) | 4.40182 | + | 24.9640i | 0.170439 | + | 0.966609i | ||||
\(668\) | −21.4374 | + | 28.8240i | −0.829440 | + | 1.11524i | ||||
\(669\) | 0.00516091 | − | 0.0450416i | 0.000199532 | − | 0.00174141i | ||||
\(670\) | −3.50745 | − | 3.30753i | −0.135505 | − | 0.127781i | ||||
\(671\) | −5.53896 | + | 2.78177i | −0.213829 | + | 0.107389i | ||||
\(672\) | 3.76747 | − | 21.8071i | 0.145333 | − | 0.841229i | ||||
\(673\) | −0.853246 | + | 0.202223i | −0.0328902 | + | 0.00779513i | −0.247028 | − | 0.969008i | \(-0.579454\pi\) |
0.214138 | + | 0.976803i | \(0.431306\pi\) | |||||||
\(674\) | −6.73430 | + | 1.18909i | −0.259395 | + | 0.0458019i | ||||
\(675\) | 18.4110 | − | 63.0580i | 0.708638 | − | 2.42710i | ||||
\(676\) | −9.69693 | + | 3.53461i | −0.372959 | + | 0.135946i | ||||
\(677\) | −6.18741 | + | 20.6674i | −0.237801 | + | 0.794312i | 0.752885 | + | 0.658152i | \(0.228661\pi\) |
−0.990687 | + | 0.136161i | \(0.956524\pi\) | |||||||
\(678\) | −30.1502 | − | 25.1703i | −1.15791 | − | 0.966661i | ||||
\(679\) | 11.9112 | − | 18.1100i | 0.457108 | − | 0.694999i | ||||
\(680\) | 33.2494 | − | 77.2319i | 1.27506 | − | 2.96171i | ||||
\(681\) | 29.1416 | + | 8.65234i | 1.11671 | + | 0.331558i | ||||
\(682\) | −5.18342 | − | 21.8475i | −0.198483 | − | 0.836583i | ||||
\(683\) | 0.986756 | − | 2.71109i | 0.0377572 | − | 0.103737i | −0.919381 | − | 0.393367i | \(-0.871310\pi\) |
0.957139 | + | 0.289630i | \(0.0935323\pi\) | |||||||
\(684\) | 10.3628 | + | 13.7748i | 0.396233 | + | 0.526694i | ||||
\(685\) | −4.22212 | − | 11.6002i | −0.161319 | − | 0.443220i | ||||
\(686\) | 23.7440 | − | 15.6247i | 0.906548 | − | 0.596554i | ||||
\(687\) | −1.90291 | − | 15.9657i | −0.0726004 | − | 0.609131i | ||||
\(688\) | 29.6228 | + | 19.4430i | 1.12936 | + | 0.741256i | ||||
\(689\) | 8.34558 | + | 7.87364i | 0.317941 | + | 0.299962i | ||||
\(690\) | −50.2641 | − | 47.1839i | −1.91352 | − | 1.79626i | ||||
\(691\) | −3.82301 | + | 5.13519i | −0.145434 | + | 0.195352i | −0.868871 | − | 0.495039i | \(-0.835154\pi\) |
0.723437 | + | 0.690391i | \(0.242561\pi\) | |||||||
\(692\) | −45.7432 | − | 16.6246i | −1.73889 | − | 0.631971i | ||||
\(693\) | −9.29578 | + | 21.8222i | −0.353117 | + | 0.828955i | ||||
\(694\) | −11.2531 | − | 9.43788i | −0.427160 | − | 0.358257i | ||||
\(695\) | 27.9947 | − | 18.4124i | 1.06190 | − | 0.698422i | ||||
\(696\) | −13.4424 | + | 12.7583i | −0.509533 | + | 0.483601i | ||||
\(697\) | −29.8338 | − | 40.0737i | −1.13004 | − | 1.51790i | ||||
\(698\) | 18.3640 | + | 24.6550i | 0.695089 | + | 0.933204i | ||||
\(699\) | 11.9081 | + | 14.1262i | 0.450404 | + | 0.534301i | ||||
\(700\) | 31.4044 | + | 47.6987i | 1.18697 | + | 1.80284i | ||||
\(701\) | −23.9609 | + | 41.5016i | −0.904992 | + | 1.56749i | −0.0840639 | + | 0.996460i | \(0.526790\pi\) |
−0.820928 | + | 0.571032i | \(0.806543\pi\) | |||||||
\(702\) | −29.5019 | − | 10.5028i | −1.11348 | − | 0.396401i | ||||
\(703\) | −7.37538 | + | 4.25818i | −0.278168 | + | 0.160600i | ||||
\(704\) | 26.8393 | + | 7.99354i | 1.01154 | + | 0.301268i | ||||
\(705\) | −1.38806 | − | 2.39163i | −0.0522775 | − | 0.0900741i | ||||
\(706\) | −15.5543 | + | 1.82178i | −0.585393 | + | 0.0685634i | ||||
\(707\) | 10.6978 | + | 4.61456i | 0.402331 | + | 0.173549i | ||||
\(708\) | 4.00463 | + | 16.6924i | 0.150503 | + | 0.627339i | ||||
\(709\) | 0.456683 | − | 0.0265987i | 0.0171511 | − | 0.000998937i | −0.0495671 | − | 0.998771i | \(-0.515784\pi\) |
0.0667182 | + | 0.997772i | \(0.478747\pi\) | |||||||
\(710\) | 47.3221 | + | 8.33259i | 1.77597 | + | 0.312717i | ||||
\(711\) | −5.31346 | + | 2.32070i | −0.199270 | + | 0.0870329i | ||||
\(712\) | 25.3028 | − | 9.22986i | 0.948261 | − | 0.345904i | ||||
\(713\) | −3.52834 | + | 30.1868i | −0.132137 | + | 1.13051i | ||||
\(714\) | 35.9945 | + | 15.4195i | 1.34706 | + | 0.577060i | ||||
\(715\) | 17.9705 | + | 60.0257i | 0.672059 | + | 2.24483i | ||||
\(716\) | 21.7478 | − | 16.2067i | 0.812752 | − | 0.605671i | ||||
\(717\) | 21.4164 | + | 5.02441i | 0.799808 | + | 0.187640i | ||||
\(718\) | 43.5613 | − | 2.54753i | 1.62569 | − | 0.0950729i | ||||
\(719\) | −35.7878 | − | 30.0295i | −1.33466 | − | 1.11991i | −0.982964 | − | 0.183798i | \(-0.941161\pi\) |
−0.351695 | − | 0.936115i | \(-0.614395\pi\) | |||||||
\(720\) | 8.47962 | − | 49.6847i | 0.316017 | − | 1.85164i | ||||
\(721\) | 8.29923 | − | 6.96388i | 0.309079 | − | 0.259348i | ||||
\(722\) | −11.0518 | + | 10.4318i | −0.411305 | + | 0.388231i | ||||
\(723\) | 35.0849 | − | 23.1901i | 1.30482 | − | 0.862449i | ||||
\(724\) | 18.5254 | − | 28.1956i | 0.688491 | − | 1.04788i | ||||
\(725\) | 2.78082 | − | 47.7449i | 0.103277 | − | 1.77320i | ||||
\(726\) | −2.66364 | − | 1.52895i | −0.0988569 | − | 0.0567448i | ||||
\(727\) | 2.26804 | − | 2.13978i | 0.0841169 | − | 0.0793602i | −0.643035 | − | 0.765837i | \(-0.722325\pi\) |
0.727152 | + | 0.686477i | \(0.240844\pi\) | |||||||
\(728\) | 23.5673 | − | 13.6290i | 0.873464 | − | 0.505124i | ||||
\(729\) | −13.8175 | − | 23.1965i | −0.511759 | − | 0.859129i | ||||
\(730\) | −13.7380 | + | 37.7728i | −0.508467 | + | 1.39803i | ||||
\(731\) | −45.6048 | + | 43.0259i | −1.68675 | + | 1.59137i | ||||
\(732\) | 3.95557 | + | 4.68785i | 0.146202 | + | 0.173268i | ||||
\(733\) | −12.4998 | − | 0.728032i | −0.461692 | − | 0.0268905i | −0.174277 | − | 0.984697i | \(-0.555759\pi\) |
−0.287415 | + | 0.957806i | \(0.592796\pi\) | |||||||
\(734\) | 19.3745 | + | 4.58699i | 0.715127 | + | 0.169309i | ||||
\(735\) | 11.5222 | − | 7.61581i | 0.425002 | − | 0.280914i | ||||
\(736\) | −30.4314 | − | 22.5993i | −1.12172 | − | 0.833020i | ||||
\(737\) | 1.82620 | + | 2.17638i | 0.0672690 | + | 0.0801681i | ||||
\(738\) | −23.0327 | − | 19.1399i | −0.847847 | − | 0.704548i | ||||
\(739\) | −10.8169 | − | 9.07647i | −0.397907 | − | 0.333883i | 0.421777 | − | 0.906699i | \(-0.361406\pi\) |
−0.819684 | + | 0.572816i | \(0.805851\pi\) | |||||||
\(740\) | 23.8593 | + | 7.13066i | 0.877085 | + | 0.262128i | ||||
\(741\) | −4.84345 | + | 20.6450i | −0.177929 | + | 0.758414i | ||||
\(742\) | −7.18633 | − | 4.72408i | −0.263818 | − | 0.173426i | ||||
\(743\) | 12.7052 | + | 42.4384i | 0.466110 | + | 1.55692i | 0.791399 | + | 0.611300i | \(0.209353\pi\) |
−0.325289 | + | 0.945615i | \(0.605462\pi\) | |||||||
\(744\) | −19.8268 | + | 10.0316i | −0.726886 | + | 0.367776i | ||||
\(745\) | −25.2141 | − | 2.94711i | −0.923774 | − | 0.107974i | ||||
\(746\) | −23.1365 | + | 40.0955i | −0.847086 | + | 1.46800i | ||||
\(747\) | −13.0172 | + | 5.68536i | −0.476274 | + | 0.208016i | ||||
\(748\) | −24.7558 | + | 42.9253i | −0.905160 | + | 1.56950i | ||||
\(749\) | −1.18379 | − | 20.3249i | −0.0432548 | − | 0.742657i | ||||
\(750\) | 43.3708 | + | 65.5830i | 1.58368 | + | 2.39475i | ||||
\(751\) | −17.0283 | − | 7.34529i | −0.621372 | − | 0.268034i | 0.0620322 | − | 0.998074i | \(-0.480242\pi\) |
−0.683404 | + | 0.730041i | \(0.739501\pi\) | |||||||
\(752\) | −0.909077 | − | 1.21869i | −0.0331506 | − | 0.0444409i | ||||
\(753\) | 3.10981 | − | 1.80488i | 0.113328 | − | 0.0657736i | ||||
\(754\) | −22.6456 | − | 2.64145i | −0.824705 | − | 0.0961959i | ||||
\(755\) | 79.3014 | − | 45.7847i | 2.88607 | − | 1.66627i | ||||
\(756\) | 23.1451 | + | 3.90734i | 0.841779 | + | 0.142109i | ||||
\(757\) | −35.9132 | − | 20.7345i | −1.30529 | − | 0.753608i | −0.323982 | − | 0.946063i | \(-0.605022\pi\) |
−0.981306 | + | 0.192455i | \(0.938355\pi\) | |||||||
\(758\) | 17.3150 | + | 12.8841i | 0.628909 | + | 0.467973i | ||||
\(759\) | 26.1854 | + | 31.0630i | 0.950472 | + | 1.12752i | ||||
\(760\) | −34.0745 | − | 1.96027i | −1.23601 | − | 0.0711066i | ||||
\(761\) | 20.9583 | − | 15.6029i | 0.759739 | − | 0.565605i | −0.146078 | − | 0.989273i | \(-0.546665\pi\) |
0.905817 | + | 0.423668i | \(0.139258\pi\) | |||||||
\(762\) | −21.5301 | − | 2.46176i | −0.779954 | − | 0.0891802i | ||||
\(763\) | −4.49391 | + | 2.95569i | −0.162691 | + | 0.107003i | ||||
\(764\) | 11.6061 | + | 20.0803i | 0.419893 | + | 0.726480i | ||||
\(765\) | 82.0514 | + | 34.9522i | 2.96657 | + | 1.26370i | ||||
\(766\) | 0.00712805 | + | 30.0391i | 0.000257547 | + | 1.08536i | ||||
\(767\) | −12.6105 | + | 16.9389i | −0.455340 | + | 0.611628i | ||||
\(768\) | 1.49597 | − | 27.6724i | 0.0539811 | − | 0.998542i | ||||
\(769\) | 13.0107 | − | 13.7905i | 0.469176 | − | 0.497298i | −0.448966 | − | 0.893549i | \(-0.648208\pi\) |
0.918142 | + | 0.396251i | \(0.129689\pi\) | |||||||
\(770\) | −21.0879 | − | 41.9647i | −0.759956 | − | 1.51230i | ||||
\(771\) | 1.03823 | + | 8.71093i | 0.0373909 | + | 0.313716i | ||||
\(772\) | −43.7103 | + | 10.3814i | −1.57317 | + | 0.373636i | ||||
\(773\) | −14.0092 | + | 5.09895i | −0.503877 | + | 0.183396i | −0.581437 | − | 0.813591i | \(-0.697509\pi\) |
0.0775598 | + | 0.996988i | \(0.475287\pi\) | |||||||
\(774\) | −20.5018 | + | 31.4985i | −0.736923 | + | 1.13219i | ||||
\(775\) | 19.6117 | − | 53.8828i | 0.704474 | − | 1.93553i | ||||
\(776\) | 12.1650 | − | 24.2655i | 0.436697 | − | 0.871080i | ||||
\(777\) | −3.30075 | + | 11.1172i | −0.118414 | + | 0.398826i | ||||
\(778\) | −5.64458 | + | 1.69134i | −0.202368 | + | 0.0606374i | ||||
\(779\) | −11.1435 | + | 16.9429i | −0.399257 | + | 0.607041i | ||||
\(780\) | 53.6131 | − | 31.1502i | 1.91966 | − | 1.11536i | ||||
\(781\) | −27.1269 | − | 8.12126i | −0.970677 | − | 0.290602i | ||||
\(782\) | 51.3692 | − | 43.1246i | 1.83696 | − | 1.54213i | ||||
\(783\) | −13.5867 | − | 14.2059i | −0.485550 | − | 0.507676i | ||||
\(784\) | 5.81267 | − | 4.88682i | 0.207595 | − | 0.174529i | ||||
\(785\) | −2.20758 | − | 9.31451i | −0.0787919 | − | 0.332449i | ||||
\(786\) | 40.8129 | + | 14.7388i | 1.45575 | + | 0.525715i | ||||
\(787\) | −1.56783 | + | 0.787396i | −0.0558873 | + | 0.0280676i | −0.476523 | − | 0.879162i | \(-0.658103\pi\) |
0.420636 | + | 0.907229i | \(0.361807\pi\) | |||||||
\(788\) | 23.0464 | − | 11.5880i | 0.820995 | − | 0.412807i | ||||
\(789\) | 6.60809 | + | 0.757161i | 0.235254 | + | 0.0269556i | ||||
\(790\) | 3.29002 | − | 10.9989i | 0.117054 | − | 0.391325i | ||||
\(791\) | 6.28880 | + | 35.6655i | 0.223604 | + | 1.26812i | ||||
\(792\) | −8.36928 | + | 28.4997i | −0.297390 | + | 1.01269i | ||||
\(793\) | −1.31029 | + | 7.43103i | −0.0465298 | + | 0.263884i | ||||
\(794\) | −5.51395 | − | 2.76757i | −0.195683 | − | 0.0982175i | ||||
\(795\) | −16.3892 | − | 10.7261i | −0.581267 | − | 0.380416i | ||||
\(796\) | −11.4133 | − | 4.91680i | −0.404535 | − | 0.174271i | ||||
\(797\) | −38.8034 | − | 9.19657i | −1.37449 | − | 0.325759i | −0.523983 | − | 0.851729i | \(-0.675554\pi\) |
−0.850503 | + | 0.525969i | \(0.823703\pi\) | |||||||
\(798\) | 0.884371 | − | 15.8700i | 0.0313064 | − | 0.561792i | ||||
\(799\) | 2.47025 | − | 1.06556i | 0.0873910 | − | 0.0376968i | ||||
\(800\) | 46.0340 | + | 54.7291i | 1.62755 | + | 1.93497i | ||||
\(801\) | 9.89252 | + | 26.7999i | 0.349535 | + | 0.946929i | ||||
\(802\) | 38.3982 | − | 13.9861i | 1.35589 | − | 0.493867i | ||||
\(803\) | 10.6305 | − | 21.1670i | 0.375141 | − | 0.746968i | ||||
\(804\) | 1.67270 | − | 2.25976i | 0.0589917 | − | 0.0796956i | ||||
\(805\) | 7.37996 | + | 63.1396i | 0.260109 | + | 2.22538i | ||||
\(806\) | −25.1021 | − | 10.8209i | −0.884184 | − | 0.381151i | ||||
\(807\) | 48.3393 | − | 17.7185i | 1.70162 | − | 0.623722i | ||||
\(808\) | 13.9797 | + | 4.17440i | 0.491803 | + | 0.146855i | ||||
\(809\) | 33.5598i | 1.17990i | 0.807440 | + | 0.589950i | \(0.200852\pi\) | ||||
−0.807440 | + | 0.589950i | \(0.799148\pi\) | |||||||
\(810\) | 52.7327 | + | 8.79198i | 1.85284 | + | 0.308919i | ||||
\(811\) | −37.0728 | −1.30180 | −0.650901 | − | 0.759163i | \(-0.725609\pi\) | ||||
−0.650901 | + | 0.759163i | \(0.725609\pi\) | |||||||
\(812\) | 17.0597 | − | 1.00174i | 0.598679 | − | 0.0351542i | ||||
\(813\) | −25.6861 | + | 30.7532i | −0.900852 | + | 1.07856i | ||||
\(814\) | −13.4763 | − | 5.80930i | −0.472342 | − | 0.203616i | ||||
\(815\) | 18.7168 | − | 2.18768i | 0.655621 | − | 0.0766311i | ||||
\(816\) | 47.0214 | + | 13.9124i | 1.64608 | + | 0.487031i | ||||
\(817\) | 22.7426 | + | 11.4217i | 0.795662 | + | 0.399596i | ||||
\(818\) | −8.12746 | − | 22.3135i | −0.284170 | − | 0.780174i | ||||
\(819\) | 14.5514 | + | 24.9414i | 0.508467 | + | 0.871522i | ||||
\(820\) | 58.3906 | − | 10.3244i | 2.03909 | − | 0.360544i | ||||
\(821\) | −12.9125 | − | 29.9345i | −0.450649 | − | 1.04472i | −0.980480 | − | 0.196619i | \(-0.937004\pi\) |
0.529831 | − | 0.848103i | \(-0.322255\pi\) | |||||||
\(822\) | 6.42523 | − | 3.24709i | 0.224106 | − | 0.113255i | ||||
\(823\) | 10.6036 | − | 44.7400i | 0.369617 | − | 1.55954i | −0.397236 | − | 0.917716i | \(-0.630031\pi\) |
0.766854 | − | 0.641822i | \(-0.221821\pi\) | |||||||
\(824\) | 9.30312 | − | 9.87480i | 0.324089 | − | 0.344005i | ||||
\(825\) | −34.5565 | − | 68.4197i | −1.20310 | − | 2.38207i | ||||
\(826\) | 7.10054 | − | 14.1467i | 0.247059 | − | 0.492227i | ||||
\(827\) | −4.83095 | − | 0.851827i | −0.167989 | − | 0.0296209i | 0.0890212 | − | 0.996030i | \(-0.471626\pi\) |
−0.257010 | + | 0.966409i | \(0.582737\pi\) | |||||||
\(828\) | 23.8463 | − | 32.3690i | 0.828715 | − | 1.12490i | ||||
\(829\) | 22.2407 | − | 3.92164i | 0.772452 | − | 0.136204i | 0.226489 | − | 0.974014i | \(-0.427275\pi\) |
0.545963 | + | 0.837809i | \(0.316164\pi\) | |||||||
\(830\) | 8.06006 | − | 26.9457i | 0.279769 | − | 0.935301i | ||||
\(831\) | 4.57604 | − | 1.98626i | 0.158741 | − | 0.0689025i | ||||
\(832\) | 27.3171 | − | 20.3973i | 0.947049 | − | 0.707150i | ||||
\(833\) | 6.03056 | + | 12.0078i | 0.208946 | + | 0.416047i | ||||
\(834\) | 12.5979 | + | 14.9373i | 0.436229 | + | 0.517236i | ||||
\(835\) | 73.4073 | − | 17.3979i | 2.54037 | − | 0.602078i | ||||
\(836\) | 19.8098 | + | 3.48330i | 0.685135 | + | 0.120472i | ||||
\(837\) | −10.7206 | − | 20.9886i | −0.370559 | − | 0.725472i | ||||
\(838\) | 6.56998 | − | 5.51552i | 0.226956 | − | 0.190531i | ||||
\(839\) | 8.42152 | − | 28.1298i | 0.290743 | − | 0.971149i | −0.680438 | − | 0.732806i | \(-0.738210\pi\) |
0.971181 | − | 0.238344i | \(-0.0766044\pi\) | |||||||
\(840\) | −35.5136 | + | 29.9805i | −1.22534 | + | 1.03442i | ||||
\(841\) | 12.2722 | + | 8.07156i | 0.423180 | + | 0.278330i | ||||
\(842\) | 1.85494 | + | 6.19059i | 0.0639255 | + | 0.213342i | ||||
\(843\) | 11.3185 | − | 10.7272i | 0.389830 | − | 0.369463i | ||||
\(844\) | −35.8638 | − | 4.17462i | −1.23448 | − | 0.143696i | ||||
\(845\) | 20.3683 | + | 7.41347i | 0.700692 | + | 0.255031i | ||||
\(846\) | 1.28891 | − | 0.969168i | 0.0443135 | − | 0.0333207i | ||||
\(847\) | 0.968596 | + | 2.66120i | 0.0332814 | + | 0.0914398i | ||||
\(848\) | −9.62854 | − | 4.82420i | −0.330645 | − | 0.165664i | ||||
\(849\) | 4.86923 | + | 6.50958i | 0.167112 | + | 0.223408i | ||||
\(850\) | −113.069 | + | 56.8188i | −3.87822 | + | 1.94887i | ||||
\(851\) | 14.4480 | + | 13.6310i | 0.495272 | + | 0.467265i | ||||
\(852\) | −1.55248 | + | 27.9786i | −0.0531869 | + | 0.958532i | ||||
\(853\) | 3.90833 | + | 2.90964i | 0.133819 | + | 0.0996243i | 0.661987 | − | 0.749516i | \(-0.269714\pi\) |
−0.528168 | + | 0.849140i | \(0.677121\pi\) | |||||||
\(854\) | −0.00134209 | − | 5.65585i | −4.59253e−5 | − | 0.193539i | ||||
\(855\) | 1.94067 | − | 36.1491i | 0.0663696 | − | 1.23627i | ||||
\(856\) | −4.44508 | − | 25.1048i | −0.151930 | − | 0.858064i | ||||
\(857\) | −8.88325 | − | 13.5063i | −0.303446 | − | 0.461367i | 0.651287 | − | 0.758832i | \(-0.274229\pi\) |
−0.954733 | + | 0.297464i | \(0.903859\pi\) | |||||||
\(858\) | −33.5158 | + | 14.5571i | −1.14421 | + | 0.496973i | ||||
\(859\) | −24.6680 | − | 33.1349i | −0.841661 | − | 1.13055i | −0.989924 | − | 0.141599i | \(-0.954776\pi\) |
0.148263 | − | 0.988948i | \(-0.452632\pi\) | |||||||
\(860\) | −21.3763 | − | 71.2788i | −0.728927 | − | 2.43059i | ||||
\(861\) | 4.85692 | + | 27.1837i | 0.165523 | + | 0.926416i | ||||
\(862\) | −21.3457 | − | 15.8834i | −0.727037 | − | 0.540991i | ||||
\(863\) | −22.0188 | + | 38.1378i | −0.749530 | + | 1.29822i | 0.198518 | + | 0.980097i | \(0.436387\pi\) |
−0.948048 | + | 0.318127i | \(0.896946\pi\) | |||||||
\(864\) | 29.3569 | + | 1.47423i | 0.998741 | + | 0.0501542i | ||||
\(865\) | 51.1072 | + | 88.5202i | 1.73770 | + | 3.00978i | ||||
\(866\) | 6.50503 | − | 55.7689i | 0.221050 | − | 1.89510i | ||||
\(867\) | −28.5483 | + | 49.7076i | −0.969551 | + | 1.68816i | ||||
\(868\) | 19.9390 | + | 4.71563i | 0.676773 | + | 0.160059i | ||||
\(869\) | −2.67970 | + | 6.21225i | −0.0909027 | + | 0.210736i | ||||
\(870\) | 38.8500 | − | 2.36059i | 1.31714 | − | 0.0800314i | ||||
\(871\) | 3.45282 | − | 0.201104i | 0.116994 | − | 0.00681414i | ||||
\(872\) | −5.15673 | + | 4.33327i | −0.174629 | + | 0.146743i | ||||
\(873\) | 25.7867 | + | 12.8042i | 0.872747 | + | 0.433355i | ||||
\(874\) | −23.5805 | − | 13.6067i | −0.797622 | − | 0.460255i | ||||
\(875\) | 8.41685 | − | 72.0107i | 0.284541 | − | 2.43441i | ||||
\(876\) | −22.8228 | − | 5.34294i | −0.771111 | − | 0.180521i | ||||
\(877\) | 15.8964 | − | 4.75907i | 0.536783 | − | 0.160702i | −0.00692596 | − | 0.999976i | \(-0.502205\pi\) |
0.543709 | + | 0.839274i | \(0.317019\pi\) | |||||||
\(878\) | −35.4656 | − | 23.3140i | −1.19690 | − | 0.786810i | ||||
\(879\) | −23.7162 | + | 25.2524i | −0.799928 | + | 0.851742i | ||||
\(880\) | −32.3648 | − | 49.1067i | −1.09102 | − | 1.65539i | ||||
\(881\) | 4.25184 | − | 5.06715i | 0.143248 | − | 0.170716i | −0.689650 | − | 0.724143i | \(-0.742236\pi\) |
0.832898 | + | 0.553426i | \(0.186680\pi\) | |||||||
\(882\) | 5.20684 | + | 6.14536i | 0.175324 | + | 0.206925i | ||||
\(883\) | 27.7461 | − | 23.2818i | 0.933732 | − | 0.783494i | −0.0427516 | − | 0.999086i | \(-0.513612\pi\) |
0.976484 | + | 0.215592i | \(0.0691680\pi\) | |||||||
\(884\) | 23.9195 | + | 55.3793i | 0.804499 | + | 1.86261i | ||||
\(885\) | 16.1064 | − | 32.2530i | 0.541411 | − | 1.08417i | ||||
\(886\) | −21.8728 | − | 5.17846i | −0.734830 | − | 0.173974i | ||||
\(887\) | −1.98884 | + | 34.1470i | −0.0667787 | + | 1.14655i | 0.783910 | + | 0.620875i | \(0.213223\pi\) |
−0.850688 | + | 0.525670i | \(0.823815\pi\) | |||||||
\(888\) | −2.47908 | + | 14.3091i | −0.0831925 | + | 0.480182i | ||||
\(889\) | 13.7125 | + | 14.5344i | 0.459904 | + | 0.487469i | ||||
\(890\) | −53.1575 | − | 19.3335i | −1.78184 | − | 0.648059i | ||||
\(891\) | −30.2623 | − | 8.76106i | −1.01382 | − | 0.293507i | ||||
\(892\) | −0.0336308 | + | 0.0401183i | −0.00112604 | + | 0.00134326i | ||||
\(893\) | −0.749377 | − | 0.794293i | −0.0250769 | − | 0.0265800i | ||||
\(894\) | −0.0371482 | − | 14.8043i | −0.00124242 | − | 0.495130i | ||||
\(895\) | −56.8641 | − | 3.31196i | −1.90076 | − | 0.110706i | ||||
\(896\) | −17.5051 | + | 18.6162i | −0.584806 | + | 0.621924i | ||||
\(897\) | 49.3689 | − | 2.98797i | 1.64838 | − | 0.0997655i | ||||
\(898\) | −14.2076 | − | 15.0520i | −0.474113 | − | 0.502292i | ||||
\(899\) | −11.0293 | − | 13.1442i | −0.367849 | − | 0.438385i | ||||
\(900\) | −57.8615 | + | 49.0485i | −1.92872 | + | 1.63495i | ||||
\(901\) | 12.2490 | − | 14.5978i | 0.408072 | − | 0.486322i | ||||
\(902\) | −34.8844 | + | 2.04009i | −1.16152 | + | 0.0679276i | ||||
\(903\) | 33.1764 | − | 10.0146i | 1.10404 | − | 0.333264i | ||||
\(904\) | 13.0379 | + | 43.4371i | 0.433635 | + | 1.44470i | ||||
\(905\) | −67.8756 | + | 20.3206i | −2.25626 | + | 0.675480i | ||||
\(906\) | 31.9962 | + | 42.7540i | 1.06300 | + | 1.42041i | ||||
\(907\) | 16.5046 | + | 1.92911i | 0.548025 | + | 0.0640550i | 0.385600 | − | 0.922666i | \(-0.373994\pi\) |
0.162425 | + | 0.986721i | \(0.448068\pi\) | |||||||
\(908\) | −22.5757 | − | 26.8788i | −0.749202 | − | 0.892004i | ||||
\(909\) | −4.37076 | + | 14.8445i | −0.144969 | + | 0.492362i | ||||
\(910\) | −56.3086 | − | 9.91494i | −1.86661 | − | 0.328677i | ||||
\(911\) | −2.09676 | − | 35.9999i | −0.0694687 | − | 1.19273i | −0.835339 | − | 0.549736i | \(-0.814728\pi\) |
0.765870 | − | 0.642996i | \(-0.222309\pi\) | |||||||
\(912\) | −1.22133 | − | 19.8667i | −0.0404422 | − | 0.657854i | ||||
\(913\) | −6.56487 | + | 15.2191i | −0.217265 | + | 0.503678i | ||||
\(914\) | −6.37212 | − | 54.4050i | −0.210771 | − | 1.79956i | ||||
\(915\) | −0.0292667 | − | 12.8816i | −0.000967529 | − | 0.425852i | ||||
\(916\) | −8.32459 | + | 16.5952i | −0.275052 | + | 0.548322i | ||||
\(917\) | −20.0060 | − | 34.6514i | −0.660656 | − | 1.14429i | ||||
\(918\) | −14.5651 | + | 49.9299i | −0.480720 | + | 1.64793i | ||||
\(919\) | −12.4298 | − | 7.17637i | −0.410023 | − | 0.236727i | 0.280777 | − | 0.959773i | \(-0.409408\pi\) |
−0.690799 | + | 0.723046i | \(0.742741\pi\) | |||||||
\(920\) | 18.4135 | + | 77.4468i | 0.607074 | + | 2.55334i | ||||
\(921\) | −21.7123 | − | 7.84681i | −0.715444 | − | 0.258561i | ||||
\(922\) | 32.3041 | − | 24.0614i | 1.06388 | − | 0.792421i | ||||
\(923\) | −27.6509 | + | 20.5853i | −0.910139 | + | 0.677573i | ||||
\(924\) | 22.8417 | − | 15.1133i | 0.751438 | − | 0.497191i | ||||
\(925\) | −20.5933 | − | 31.3106i | −0.677104 | − | 1.02949i | ||||
\(926\) | −33.7892 | − | 28.3388i | −1.11038 | − | 0.931272i | ||||
\(927\) | 10.5115 | + | 9.82724i | 0.345244 | + | 0.322769i | ||||
\(928\) | 21.0705 | − | 3.74108i | 0.691673 | − | 0.122807i | ||||
\(929\) | 28.8956 | + | 21.5119i | 0.948033 | + | 0.705784i | 0.955748 | − | 0.294186i | \(-0.0950485\pi\) |
−0.00771549 | + | 0.999970i | \(0.502456\pi\) | |||||||
\(930\) | 45.4342 | + | 10.6478i | 1.48985 | + | 0.349154i | ||||
\(931\) | 3.74292 | − | 3.96726i | 0.122669 | − | 0.130022i | ||||
\(932\) | −2.48677 | − | 21.1885i | −0.0814568 | − | 0.694051i | ||||
\(933\) | −18.5056 | + | 43.1702i | −0.605845 | + | 1.41333i | ||||
\(934\) | 21.3026 | − | 14.0182i | 0.697041 | − | 0.458688i | ||||
\(935\) | 97.7903 | − | 35.5927i | 3.19808 | − | 1.16401i | ||||
\(936\) | 21.7455 | + | 28.8910i | 0.710774 | + | 0.944332i | ||||
\(937\) | −8.18040 | − | 2.97742i | −0.267242 | − | 0.0972681i | 0.204924 | − | 0.978778i | \(-0.434305\pi\) |
−0.472166 | + | 0.881510i | \(0.656528\pi\) | |||||||
\(938\) | −2.52242 | + | 0.598457i | −0.0823600 | + | 0.0195403i | ||||
\(939\) | 29.3817 | − | 7.03414i | 0.958836 | − | 0.229550i | ||||
\(940\) | −0.184146 | + | 3.18772i | −0.00600618 | + | 0.103972i | ||||
\(941\) | 7.45588 | + | 4.90381i | 0.243055 | + | 0.159860i | 0.665192 | − | 0.746672i | \(-0.268350\pi\) |
−0.422137 | + | 0.906532i | \(0.638720\pi\) | |||||||
\(942\) | 5.24100 | − | 1.92248i | 0.170761 | − | 0.0626376i | ||||
\(943\) | 45.3111 | + | 13.5653i | 1.47553 | + | 0.441746i | ||||
\(944\) | 6.76173 | − | 18.6327i | 0.220075 | − | 0.606443i | ||||
\(945\) | −31.9432 | − | 37.5457i | −1.03911 | − | 1.22136i | ||||
\(946\) | 7.62537 | + | 43.1857i | 0.247922 | + | 1.40409i | ||||
\(947\) | 1.09687 | + | 4.62806i | 0.0356435 | + | 0.150392i | 0.987957 | − | 0.154730i | \(-0.0494509\pi\) |
−0.952313 | + | 0.305122i | \(0.901303\pi\) | |||||||
\(948\) | 6.59658 | + | 1.14448i | 0.214247 | + | 0.0371710i | ||||
\(949\) | −12.9414 | − | 25.7684i | −0.420095 | − | 0.836478i | ||||
\(950\) | 37.3695 | + | 35.2396i | 1.21243 | + | 1.14332i | ||||
\(951\) | −4.89988 | + | 6.61299i | −0.158889 | + | 0.214441i | ||||
\(952\) | −24.8735 | − | 37.7597i | −0.806154 | − | 1.22380i | ||||
\(953\) | −46.8401 | + | 8.25917i | −1.51730 | + | 0.267541i | −0.869371 | − | 0.494161i | \(-0.835475\pi\) |
−0.647928 | + | 0.761702i | \(0.724364\pi\) | |||||||
\(954\) | 5.07766 | − | 10.2321i | 0.164395 | − | 0.331278i | ||||
\(955\) | 8.45815 | − | 47.9685i | 0.273699 | − | 1.55223i | ||||
\(956\) | −17.4399 | − | 18.4677i | −0.564048 | − | 0.597287i | ||||
\(957\) | −22.9012 | − | 1.28164i | −0.740289 | − | 0.0414295i | ||||
\(958\) | 39.9808 | + | 2.31910i | 1.29172 | + | 0.0749267i | ||||
\(959\) | −6.45930 | − | 1.53088i | −0.208582 | − | 0.0494347i | ||||
\(960\) | −39.7829 | + | 42.4808i | −1.28399 | + | 1.37106i | ||||
\(961\) | 4.13019 | + | 9.57486i | 0.133232 | + | 0.308867i | ||||
\(962\) | −15.4696 | + | 8.93627i | −0.498760 | + | 0.288117i | ||||
\(963\) | 26.6094 | − | 4.81673i | 0.857476 | − | 0.155217i | ||||
\(964\) | −48.5624 | + | 0.0230470i | −1.56409 | + | 0.000742293i | ||||
\(965\) | 84.3150 | + | 42.3446i | 2.71420 | + | 1.36312i | ||||
\(966\) | −36.0513 | + | 8.63991i | −1.15993 | + | 0.277985i | ||||
\(967\) | −1.29860 | − | 11.1103i | −0.0417603 | − | 0.357282i | −0.997921 | − | 0.0644413i | \(-0.979473\pi\) |
0.956161 | − | 0.292841i | \(-0.0946006\pi\) | |||||||
\(968\) | 1.59387 | + | 3.16804i | 0.0512290 | + | 0.101825i | ||||
\(969\) | 34.6982 | + | 6.03698i | 1.11467 | + | 0.193936i | ||||
\(970\) | −52.3385 | + | 22.5914i | −1.68049 | + | 0.725365i | ||||
\(971\) | 55.0064i | 1.76524i | 0.470088 | + | 0.882620i | \(0.344222\pi\) | ||||
−0.470088 | + | 0.882620i | \(0.655778\pi\) | |||||||
\(972\) | −1.44432 | + | 31.1434i | −0.0463266 | + | 0.998926i | ||||
\(973\) | − | 18.0181i | − | 0.577633i | ||||||
\(974\) | −3.95911 | − | 9.17226i | −0.126858 | − | 0.293898i | ||||
\(975\) | −91.9330 | − | 15.9950i | −2.94421 | − | 0.512250i | ||||
\(976\) | −0.828917 | − | 7.03394i | −0.0265330 | − | 0.225151i | ||||
\(977\) | 1.82656 | + | 15.6273i | 0.0584370 | + | 0.499960i | 0.990485 | + | 0.137624i | \(0.0439466\pi\) |
−0.932048 | + | 0.362336i | \(0.881979\pi\) | |||||||
\(978\) | 2.56118 | + | 10.6869i | 0.0818974 | + | 0.341729i | ||||
\(979\) | 29.7883 | + | 14.9602i | 0.952037 | + | 0.478131i | ||||
\(980\) | −15.9483 | + | 0.00756882i | −0.509450 | + | 0.000241777i | ||||
\(981\) | −4.61705 | − | 5.45188i | −0.147411 | − | 0.174065i | ||||
\(982\) | 11.1557 | + | 19.3116i | 0.355993 | + | 0.616259i | ||||
\(983\) | −14.5942 | − | 33.8332i | −0.465484 | − | 1.07911i | −0.975709 | − | 0.219072i | \(-0.929697\pi\) |
0.510225 | − | 0.860041i | \(-0.329562\pi\) | |||||||
\(984\) | 10.0165 | + | 33.0977i | 0.319315 | + | 1.05512i | ||||
\(985\) | −52.7141 | − | 12.4935i | −1.67961 | − | 0.398075i | ||||
\(986\) | −2.19276 | + | 37.8027i | −0.0698316 | + | 1.20388i | ||||
\(987\) | −1.48467 | − | 0.0830878i | −0.0472575 | − | 0.00264472i | ||||
\(988\) | 17.8026 | − | 16.8118i | 0.566375 | − | 0.534855i | ||||
\(989\) | 10.3074 | − | 58.4560i | 0.327756 | − | 1.85879i | ||||
\(990\) | 51.9536 | − | 34.5274i | 1.65119 | − | 1.09735i | ||||
\(991\) | −47.7452 | + | 8.41877i | −1.51668 | + | 0.267431i | −0.869126 | − | 0.494591i | \(-0.835318\pi\) |
−0.647551 | + | 0.762022i | \(0.724207\pi\) | |||||||
\(992\) | 25.4877 | + | 2.94843i | 0.809234 | + | 0.0936128i | ||||
\(993\) | −20.5004 | + | 27.6679i | −0.650562 | + | 0.878014i | ||||
\(994\) | 17.7270 | − | 18.7985i | 0.562267 | − | 0.596251i | ||||
\(995\) | 11.7132 | + | 23.3230i | 0.371334 | + | 0.739388i | ||||
\(996\) | 16.1606 | + | 2.80381i | 0.512069 | + | 0.0888421i | ||||
\(997\) | 6.74016 | + | 28.4390i | 0.213463 | + | 0.900671i | 0.969294 | + | 0.245904i | \(0.0790849\pi\) |
−0.755831 | + | 0.654766i | \(0.772767\pi\) | |||||||
\(998\) | 16.7175 | − | 2.95184i | 0.529184 | − | 0.0934389i | ||||
\(999\) | −15.1871 | − | 2.57128i | −0.480497 | − | 0.0813518i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 648.2.bb.b.59.15 | yes | 1872 | |
8.3 | odd | 2 | inner | 648.2.bb.b.59.39 | yes | 1872 | |
81.11 | odd | 54 | inner | 648.2.bb.b.11.39 | yes | 1872 | |
648.11 | even | 54 | inner | 648.2.bb.b.11.15 | ✓ | 1872 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bb.b.11.15 | ✓ | 1872 | 648.11 | even | 54 | inner | |
648.2.bb.b.11.39 | yes | 1872 | 81.11 | odd | 54 | inner | |
648.2.bb.b.59.15 | yes | 1872 | 1.1 | even | 1 | trivial | |
648.2.bb.b.59.39 | yes | 1872 | 8.3 | odd | 2 | inner |