Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 347.9 | ||
Character | \(\chi\) | \(=\) | 570.347 |
Dual form | 570.2.bi.a.23.9 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{8}{9}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.422618 | + | 0.906308i | −0.298836 | + | 0.640856i | ||||
\(3\) | −0.573806 | + | 1.63424i | −0.331287 | + | 0.943530i | ||||
\(4\) | −0.642788 | − | 0.766044i | −0.321394 | − | 0.383022i | ||||
\(5\) | 1.58610 | + | 1.57617i | 0.709324 | + | 0.704883i | ||||
\(6\) | −1.23863 | − | 1.21071i | −0.505667 | − | 0.494268i | ||||
\(7\) | 0.599112 | − | 2.23592i | 0.226443 | − | 0.845097i | −0.755378 | − | 0.655289i | \(-0.772547\pi\) |
0.981821 | − | 0.189808i | \(-0.0607865\pi\) | |||||||
\(8\) | 0.965926 | − | 0.258819i | 0.341506 | − | 0.0915064i | ||||
\(9\) | −2.34149 | − | 1.87548i | −0.780498 | − | 0.625159i | ||||
\(10\) | −2.09880 | + | 0.771375i | −0.663700 | + | 0.243930i | ||||
\(11\) | 4.47974 | + | 2.58638i | 1.35069 | + | 0.779822i | 0.988346 | − | 0.152222i | \(-0.0486430\pi\) |
0.362345 | + | 0.932044i | \(0.381976\pi\) | |||||||
\(12\) | 1.62074 | − | 0.610909i | 0.467867 | − | 0.176354i | ||||
\(13\) | 4.74996 | + | 3.32596i | 1.31740 | + | 0.922454i | 0.999669 | − | 0.0257261i | \(-0.00818976\pi\) |
0.317732 | + | 0.948180i | \(0.397079\pi\) | |||||||
\(14\) | 1.77323 | + | 1.48792i | 0.473916 | + | 0.397663i | ||||
\(15\) | −3.48595 | + | 1.68765i | −0.900068 | + | 0.435750i | ||||
\(16\) | −0.173648 | + | 0.984808i | −0.0434120 | + | 0.246202i | ||||
\(17\) | −1.73115 | + | 3.71246i | −0.419866 | + | 0.900405i | 0.576650 | + | 0.816992i | \(0.304360\pi\) |
−0.996515 | + | 0.0834129i | \(0.973418\pi\) | |||||||
\(18\) | 2.68932 | − | 1.32950i | 0.633878 | − | 0.313367i | ||||
\(19\) | −4.35033 | − | 0.273142i | −0.998035 | − | 0.0626631i | ||||
\(20\) | 0.187889 | − | 2.22816i | 0.0420134 | − | 0.498232i | ||||
\(21\) | 3.31025 | + | 2.26208i | 0.722357 | + | 0.493626i | ||||
\(22\) | −4.23727 | + | 2.96697i | −0.903389 | + | 0.632560i | ||||
\(23\) | 2.89339 | + | 0.253139i | 0.603313 | + | 0.0527830i | 0.384720 | − | 0.923033i | \(-0.374298\pi\) |
0.218593 | + | 0.975816i | \(0.429853\pi\) | |||||||
\(24\) | −0.131281 | + | 1.72707i | −0.0267977 | + | 0.352536i | ||||
\(25\) | 0.0314051 | + | 4.99990i | 0.00628103 | + | 0.999980i | ||||
\(26\) | −5.02176 | + | 2.89931i | −0.984848 | + | 0.568602i | ||||
\(27\) | 4.40855 | − | 2.75041i | 0.848425 | − | 0.529316i | ||||
\(28\) | −2.09791 | + | 0.978273i | −0.396468 | + | 0.184876i | ||||
\(29\) | −3.37172 | − | 1.22720i | −0.626112 | − | 0.227886i | 0.00942624 | − | 0.999956i | \(-0.496999\pi\) |
−0.635538 | + | 0.772069i | \(0.719222\pi\) | |||||||
\(30\) | −0.0563069 | − | 3.87257i | −0.0102802 | − | 0.707032i | ||||
\(31\) | −2.06984 | − | 3.58508i | −0.371755 | − | 0.643899i | 0.618081 | − | 0.786115i | \(-0.287911\pi\) |
−0.989836 | + | 0.142216i | \(0.954577\pi\) | |||||||
\(32\) | −0.819152 | − | 0.573576i | −0.144807 | − | 0.101395i | ||||
\(33\) | −6.79726 | + | 5.83689i | −1.18325 | + | 1.01607i | ||||
\(34\) | −2.63302 | − | 3.13791i | −0.451559 | − | 0.538147i | ||||
\(35\) | 4.47442 | − | 2.60208i | 0.756316 | − | 0.439832i | ||||
\(36\) | 0.0683842 | + | 2.99922i | 0.0113974 | + | 0.499870i | ||||
\(37\) | −4.36608 | − | 4.36608i | −0.717779 | − | 0.717779i | 0.250371 | − | 0.968150i | \(-0.419447\pi\) |
−0.968150 | + | 0.250371i | \(0.919447\pi\) | |||||||
\(38\) | 2.08608 | − | 3.82731i | 0.338407 | − | 0.620871i | ||||
\(39\) | −8.16097 | + | 5.85413i | −1.30680 | + | 0.937410i | ||||
\(40\) | 1.93999 | + | 1.11195i | 0.306740 | + | 0.175814i | ||||
\(41\) | −5.60496 | − | 0.988305i | −0.875347 | − | 0.154347i | −0.282117 | − | 0.959380i | \(-0.591037\pi\) |
−0.593230 | + | 0.805033i | \(0.702148\pi\) | |||||||
\(42\) | −3.44911 | + | 2.04411i | −0.532210 | + | 0.315414i | ||||
\(43\) | 10.8143 | − | 0.946125i | 1.64916 | − | 0.144283i | 0.775674 | − | 0.631134i | \(-0.217410\pi\) |
0.873485 | + | 0.486852i | \(0.161855\pi\) | |||||||
\(44\) | −0.898239 | − | 5.09417i | −0.135415 | − | 0.767975i | ||||
\(45\) | −0.757773 | − | 6.66527i | −0.112962 | − | 0.993599i | ||||
\(46\) | −1.45222 | + | 2.51532i | −0.214118 | + | 0.370863i | ||||
\(47\) | 0.499537 | − | 0.232938i | 0.0728649 | − | 0.0339775i | −0.385844 | − | 0.922564i | \(-0.626090\pi\) |
0.458709 | + | 0.888586i | \(0.348312\pi\) | |||||||
\(48\) | −1.50977 | − | 0.848872i | −0.217917 | − | 0.122524i | ||||
\(49\) | 1.42179 | + | 0.820871i | 0.203113 | + | 0.117267i | ||||
\(50\) | −4.54472 | − | 2.08459i | −0.642721 | − | 0.294805i | ||||
\(51\) | −5.07372 | − | 4.95935i | −0.710463 | − | 0.694448i | ||||
\(52\) | −0.505384 | − | 5.77656i | −0.0700841 | − | 0.801065i | ||||
\(53\) | −7.02820 | − | 0.614888i | −0.965397 | − | 0.0844613i | −0.406458 | − | 0.913670i | \(-0.633236\pi\) |
−0.558940 | + | 0.829208i | \(0.688792\pi\) | |||||||
\(54\) | 0.629582 | + | 5.15787i | 0.0856752 | + | 0.701897i | ||||
\(55\) | 3.02874 | + | 11.1630i | 0.408395 | + | 1.50522i | ||||
\(56\) | − | 2.31479i | − | 0.309327i | ||||||
\(57\) | 2.94263 | − | 6.95276i | 0.389761 | − | 0.920916i | ||||
\(58\) | 2.53717 | − | 2.53717i | 0.333147 | − | 0.333147i | ||||
\(59\) | −3.30604 | + | 1.20330i | −0.430409 | + | 0.156656i | −0.548135 | − | 0.836390i | \(-0.684662\pi\) |
0.117726 | + | 0.993046i | \(0.462440\pi\) | |||||||
\(60\) | 3.53354 | + | 1.58559i | 0.456178 | + | 0.204699i | ||||
\(61\) | −4.90968 | + | 4.11971i | −0.628620 | + | 0.527475i | −0.900500 | − | 0.434856i | \(-0.856799\pi\) |
0.271880 | + | 0.962331i | \(0.412355\pi\) | |||||||
\(62\) | 4.12394 | − | 0.360798i | 0.523740 | − | 0.0458213i | ||||
\(63\) | −5.59623 | + | 4.11176i | −0.705058 | + | 0.518033i | ||||
\(64\) | 0.866025 | − | 0.500000i | 0.108253 | − | 0.0625000i | ||||
\(65\) | 2.29164 | + | 12.7620i | 0.284242 | + | 1.58293i | ||||
\(66\) | −2.41737 | − | 8.62719i | −0.297558 | − | 1.06193i | ||||
\(67\) | 5.13504 | + | 11.0121i | 0.627345 | + | 1.34534i | 0.921048 | + | 0.389448i | \(0.127334\pi\) |
−0.293704 | + | 0.955897i | \(0.594888\pi\) | |||||||
\(68\) | 3.95667 | − | 1.06019i | 0.479817 | − | 0.128567i | ||||
\(69\) | −2.07393 | + | 4.58324i | −0.249672 | + | 0.551757i | ||||
\(70\) | 0.467312 | + | 5.15489i | 0.0558545 | + | 0.616127i | ||||
\(71\) | −4.62681 | + | 5.51402i | −0.549101 | + | 0.654393i | −0.967202 | − | 0.254007i | \(-0.918251\pi\) |
0.418101 | + | 0.908401i | \(0.362696\pi\) | |||||||
\(72\) | −2.74712 | − | 1.20555i | −0.323751 | − | 0.142075i | ||||
\(73\) | 5.55173 | + | 7.92870i | 0.649781 | + | 0.927984i | 0.999962 | − | 0.00869809i | \(-0.00276872\pi\) |
−0.350181 | + | 0.936682i | \(0.613880\pi\) | |||||||
\(74\) | 5.80220 | − | 2.11183i | 0.674492 | − | 0.245495i | ||||
\(75\) | −8.18907 | − | 2.81765i | −0.945592 | − | 0.325354i | ||||
\(76\) | 2.58710 | + | 3.50812i | 0.296761 | + | 0.402409i | ||||
\(77\) | 8.46679 | − | 8.46679i | 0.964880 | − | 0.964880i | ||||
\(78\) | −1.85666 | − | 9.87041i | −0.210226 | − | 1.11760i | ||||
\(79\) | 0.848542 | + | 0.149621i | 0.0954684 | + | 0.0168337i | 0.221178 | − | 0.975233i | \(-0.429010\pi\) |
−0.125710 | + | 0.992067i | \(0.540121\pi\) | |||||||
\(80\) | −1.82764 | + | 1.28830i | −0.204337 | + | 0.144037i | ||||
\(81\) | 1.96518 | + | 8.78283i | 0.218353 | + | 0.975870i | ||||
\(82\) | 3.26447 | − | 4.66214i | 0.360500 | − | 0.514847i | ||||
\(83\) | 4.46320 | − | 16.6569i | 0.489900 | − | 1.82833i | −0.0670023 | − | 0.997753i | \(-0.521343\pi\) |
0.556902 | − | 0.830578i | \(-0.311990\pi\) | |||||||
\(84\) | −0.394939 | − | 3.98984i | −0.0430914 | − | 0.435327i | ||||
\(85\) | −8.59723 | + | 3.15975i | −0.932500 | + | 0.342723i | ||||
\(86\) | −3.71282 | + | 10.2009i | −0.400364 | + | 1.09999i | ||||
\(87\) | 3.94026 | − | 4.80602i | 0.422440 | − | 0.515260i | ||||
\(88\) | 4.99650 | + | 1.33881i | 0.532628 | + | 0.142717i | ||||
\(89\) | −1.20696 | − | 6.84502i | −0.127938 | − | 0.725570i | −0.979520 | − | 0.201349i | \(-0.935468\pi\) |
0.851582 | − | 0.524221i | \(-0.175644\pi\) | |||||||
\(90\) | 6.36103 | + | 2.13009i | 0.670512 | + | 0.224531i | ||||
\(91\) | 10.2823 | − | 8.62789i | 1.07788 | − | 0.904449i | ||||
\(92\) | −1.66592 | − | 2.37918i | −0.173684 | − | 0.248046i | ||||
\(93\) | 7.04657 | − | 1.32549i | 0.730695 | − | 0.137447i | ||||
\(94\) | 0.551178i | 0.0568496i | ||||||||
\(95\) | −6.46953 | − | 7.29007i | −0.663760 | − | 0.747946i | ||||
\(96\) | 1.40740 | − | 1.00957i | 0.143642 | − | 0.103039i | ||||
\(97\) | −7.44149 | − | 3.47002i | −0.755569 | − | 0.352328i | 0.00636721 | − | 0.999980i | \(-0.497973\pi\) |
−0.761936 | + | 0.647652i | \(0.775751\pi\) | |||||||
\(98\) | −1.34484 | + | 0.941664i | −0.135849 | + | 0.0951225i | ||||
\(99\) | −5.63858 | − | 14.4576i | −0.566699 | − | 1.45305i | ||||
\(100\) | 3.80996 | − | 3.23793i | 0.380996 | − | 0.323793i | ||||
\(101\) | 3.02182 | − | 0.532828i | 0.300682 | − | 0.0530184i | −0.0212718 | − | 0.999774i | \(-0.506772\pi\) |
0.321954 | + | 0.946755i | \(0.395660\pi\) | |||||||
\(102\) | 6.63895 | − | 2.50244i | 0.657354 | − | 0.247778i | ||||
\(103\) | −1.64192 | − | 6.12774i | −0.161784 | − | 0.603785i | −0.998429 | − | 0.0560391i | \(-0.982153\pi\) |
0.836645 | − | 0.547746i | \(-0.184514\pi\) | |||||||
\(104\) | 5.44893 | + | 1.98325i | 0.534311 | + | 0.194473i | ||||
\(105\) | 1.68498 | + | 8.80538i | 0.164437 | + | 0.859317i | ||||
\(106\) | 3.52752 | − | 6.10985i | 0.342623 | − | 0.593441i | ||||
\(107\) | 18.1010 | + | 4.85015i | 1.74989 | + | 0.468882i | 0.984603 | − | 0.174806i | \(-0.0559297\pi\) |
0.765288 | + | 0.643688i | \(0.222596\pi\) | |||||||
\(108\) | −4.94069 | − | 1.60922i | −0.475418 | − | 0.154847i | ||||
\(109\) | 2.25897 | − | 2.69213i | 0.216370 | − | 0.257859i | −0.646932 | − | 0.762548i | \(-0.723948\pi\) |
0.863302 | + | 0.504688i | \(0.168393\pi\) | |||||||
\(110\) | −11.3972 | − | 1.97274i | −1.08668 | − | 0.188093i | ||||
\(111\) | 9.64051 | − | 4.62995i | 0.915037 | − | 0.439455i | ||||
\(112\) | 2.09791 | + | 0.978273i | 0.198234 | + | 0.0924381i | ||||
\(113\) | 5.50212 | + | 5.50212i | 0.517596 | + | 0.517596i | 0.916843 | − | 0.399248i | \(-0.130729\pi\) |
−0.399248 | + | 0.916843i | \(0.630729\pi\) | |||||||
\(114\) | 5.05774 | + | 5.60529i | 0.473700 | + | 0.524984i | ||||
\(115\) | 4.19020 | + | 4.96196i | 0.390738 | + | 0.462705i | ||||
\(116\) | 1.22720 | + | 3.37172i | 0.113943 | + | 0.313056i | ||||
\(117\) | −4.88424 | − | 16.6961i | −0.451548 | − | 1.54356i | ||||
\(118\) | 0.306632 | − | 3.50482i | 0.0282278 | − | 0.322645i | ||||
\(119\) | 7.26360 | + | 6.09489i | 0.665854 | + | 0.558717i | ||||
\(120\) | −2.93037 | + | 2.53238i | −0.267505 | + | 0.231173i | ||||
\(121\) | 7.87869 | + | 13.6463i | 0.716244 | + | 1.24057i | ||||
\(122\) | −1.65881 | − | 6.19075i | −0.150181 | − | 0.560484i | ||||
\(123\) | 4.83129 | − | 8.59276i | 0.435623 | − | 0.774783i | ||||
\(124\) | −1.41586 | + | 3.89003i | −0.127148 | + | 0.349335i | ||||
\(125\) | −7.83086 | + | 7.97983i | −0.700413 | + | 0.713737i | ||||
\(126\) | −1.36145 | − | 6.80961i | −0.121288 | − | 0.606648i | ||||
\(127\) | 3.58920 | − | 5.12591i | 0.318490 | − | 0.454851i | −0.627703 | − | 0.778453i | \(-0.716005\pi\) |
0.946193 | + | 0.323602i | \(0.104894\pi\) | |||||||
\(128\) | 0.0871557 | + | 0.996195i | 0.00770355 | + | 0.0880520i | ||||
\(129\) | −4.65909 | + | 18.2160i | −0.410210 | + | 1.60383i | ||||
\(130\) | −12.5348 | − | 3.31653i | −1.09937 | − | 0.290879i | ||||
\(131\) | −6.73041 | − | 18.4916i | −0.588038 | − | 1.61562i | −0.774086 | − | 0.633081i | \(-0.781790\pi\) |
0.186047 | − | 0.982541i | \(-0.440432\pi\) | |||||||
\(132\) | 8.84052 | + | 1.45513i | 0.769468 | + | 0.126652i | ||||
\(133\) | −3.21706 | + | 9.56334i | −0.278954 | + | 0.829247i | ||||
\(134\) | −12.1505 | −1.04965 | ||||||||
\(135\) | 11.3275 | + | 2.58619i | 0.974914 | + | 0.222584i | ||||
\(136\) | −0.711306 | + | 4.03402i | −0.0609940 | + | 0.345914i | ||||
\(137\) | 0.283838 | − | 3.24428i | 0.0242499 | − | 0.277177i | −0.974383 | − | 0.224897i | \(-0.927795\pi\) |
0.998632 | − | 0.0522805i | \(-0.0166490\pi\) | |||||||
\(138\) | −3.27735 | − | 3.81658i | −0.278986 | − | 0.324889i | ||||
\(139\) | 0.515750 | − | 0.0909406i | 0.0437453 | − | 0.00771348i | −0.151733 | − | 0.988422i | \(-0.548485\pi\) |
0.195478 | + | 0.980708i | \(0.437374\pi\) | |||||||
\(140\) | −4.86941 | − | 1.75502i | −0.411541 | − | 0.148327i | ||||
\(141\) | 0.0940394 | + | 0.950025i | 0.00791954 | + | 0.0800065i | ||||
\(142\) | −3.04202 | − | 6.52364i | −0.255281 | − | 0.547452i | ||||
\(143\) | 12.6764 | + | 27.1846i | 1.06005 | + | 2.27329i | ||||
\(144\) | 2.25358 | − | 1.98025i | 0.187798 | − | 0.165021i | ||||
\(145\) | −3.41359 | − | 7.26085i | −0.283483 | − | 0.602980i | ||||
\(146\) | −9.53211 | + | 1.68077i | −0.788883 | + | 0.139101i | ||||
\(147\) | −2.15733 | + | 1.85253i | −0.177934 | + | 0.152794i | ||||
\(148\) | −0.538149 | + | 6.15107i | −0.0442356 | + | 0.505615i | ||||
\(149\) | 0.700477 | − | 3.97260i | 0.0573853 | − | 0.325448i | −0.942578 | − | 0.333985i | \(-0.891606\pi\) |
0.999964 | + | 0.00853717i | \(0.00271750\pi\) | |||||||
\(150\) | 6.01451 | − | 6.23103i | 0.491083 | − | 0.508761i | ||||
\(151\) | 5.20148 | 0.423290 | 0.211645 | − | 0.977347i | \(-0.432118\pi\) | ||||
0.211645 | + | 0.977347i | \(0.432118\pi\) | |||||||
\(152\) | −4.27279 | + | 0.862114i | −0.346569 | + | 0.0699267i | ||||
\(153\) | 11.0161 | − | 5.44597i | 0.890600 | − | 0.440281i | ||||
\(154\) | 4.09530 | + | 11.2517i | 0.330008 | + | 0.906690i | ||||
\(155\) | 2.36770 | − | 8.94869i | 0.190178 | − | 0.718776i | ||||
\(156\) | 9.73029 | + | 2.48871i | 0.779047 | + | 0.199256i | ||||
\(157\) | −0.172128 | − | 1.96743i | −0.0137373 | − | 0.157018i | 0.986228 | − | 0.165394i | \(-0.0528895\pi\) |
−0.999965 | + | 0.00837553i | \(0.997334\pi\) | |||||||
\(158\) | −0.494212 | + | 0.705808i | −0.0393174 | + | 0.0561510i | ||||
\(159\) | 5.03770 | − | 11.1329i | 0.399516 | − | 0.882900i | ||||
\(160\) | −0.395203 | − | 2.20087i | −0.0312435 | − | 0.173994i | ||||
\(161\) | 2.29946 | − | 6.31771i | 0.181223 | − | 0.497906i | ||||
\(162\) | −8.79047 | − | 1.93073i | −0.690644 | − | 0.151692i | ||||
\(163\) | −3.21309 | − | 11.9914i | −0.251669 | − | 0.939240i | −0.969914 | − | 0.243449i | \(-0.921721\pi\) |
0.718245 | − | 0.695790i | \(-0.244946\pi\) | |||||||
\(164\) | 2.84571 | + | 4.92892i | 0.222213 | + | 0.384884i | ||||
\(165\) | −19.9810 | − | 1.45574i | −1.55552 | − | 0.113329i | ||||
\(166\) | 13.2100 | + | 11.0845i | 1.02530 | + | 0.860327i | ||||
\(167\) | −0.00634494 | + | 0.0725230i | −0.000490986 | + | 0.00561200i | −0.996436 | − | 0.0843494i | \(-0.973119\pi\) |
0.995945 | + | 0.0899614i | \(0.0286744\pi\) | |||||||
\(168\) | 3.78293 | + | 1.32824i | 0.291859 | + | 0.102476i | ||||
\(169\) | 7.05385 | + | 19.3803i | 0.542604 | + | 1.49079i | ||||
\(170\) | 0.769642 | − | 9.12710i | 0.0590289 | − | 0.700017i | ||||
\(171\) | 9.67400 | + | 8.79851i | 0.739789 | + | 0.672839i | ||||
\(172\) | −7.67604 | − | 7.67604i | −0.585293 | − | 0.585293i | ||||
\(173\) | −11.6062 | − | 5.41205i | −0.882401 | − | 0.411470i | −0.0720401 | − | 0.997402i | \(-0.522951\pi\) |
−0.810361 | + | 0.585932i | \(0.800729\pi\) | |||||||
\(174\) | 2.69051 | + | 5.60220i | 0.203967 | + | 0.424702i | ||||
\(175\) | 11.1982 | + | 2.92528i | 0.846503 | + | 0.221131i | ||||
\(176\) | −3.32498 | + | 3.96256i | −0.250630 | + | 0.298689i | ||||
\(177\) | −0.0694568 | − | 6.09332i | −0.00522069 | − | 0.458002i | ||||
\(178\) | 6.71378 | + | 1.79895i | 0.503219 | + | 0.134837i | ||||
\(179\) | 6.93997 | − | 12.0204i | 0.518717 | − | 0.898445i | −0.481046 | − | 0.876695i | \(-0.659743\pi\) |
0.999763 | − | 0.0217495i | \(-0.00692364\pi\) | |||||||
\(180\) | −4.61880 | + | 4.86484i | −0.344265 | + | 0.362604i | ||||
\(181\) | 22.2735 | + | 8.10689i | 1.65558 | + | 0.602580i | 0.989658 | − | 0.143445i | \(-0.0458179\pi\) |
0.665918 | + | 0.746025i | \(0.268040\pi\) | |||||||
\(182\) | 3.47403 | + | 12.9652i | 0.257512 | + | 0.961048i | ||||
\(183\) | −3.91540 | − | 10.3875i | −0.289435 | − | 0.767868i | ||||
\(184\) | 2.86031 | − | 0.504351i | 0.210865 | − | 0.0371812i | ||||
\(185\) | −0.0433605 | − | 13.8067i | −0.00318793 | − | 1.01509i | ||||
\(186\) | −1.77671 | + | 6.94654i | −0.130275 | + | 0.509345i | ||||
\(187\) | −17.3569 | + | 12.1534i | −1.26926 | + | 0.888748i | ||||
\(188\) | −0.499537 | − | 0.232938i | −0.0364324 | − | 0.0169887i | ||||
\(189\) | −3.50846 | − | 11.5049i | −0.255203 | − | 0.836861i | ||||
\(190\) | 9.34119 | − | 2.78247i | 0.677681 | − | 0.201861i | ||||
\(191\) | − | 5.89868i | − | 0.426813i | −0.976963 | − | 0.213407i | \(-0.931544\pi\) | ||
0.976963 | − | 0.213407i | \(-0.0684560\pi\) | |||||||
\(192\) | 0.320190 | + | 1.70220i | 0.0231077 | + | 0.122846i | ||||
\(193\) | −2.95088 | − | 4.21429i | −0.212409 | − | 0.303351i | 0.698783 | − | 0.715334i | \(-0.253725\pi\) |
−0.911192 | + | 0.411982i | \(0.864836\pi\) | |||||||
\(194\) | 6.28982 | − | 5.27779i | 0.451583 | − | 0.378923i | ||||
\(195\) | −22.1712 | − | 3.57783i | −1.58771 | − | 0.256214i | ||||
\(196\) | −0.285085 | − | 1.61680i | −0.0203632 | − | 0.115486i | ||||
\(197\) | 13.7096 | + | 3.67348i | 0.976769 | + | 0.261724i | 0.711683 | − | 0.702500i | \(-0.247933\pi\) |
0.265086 | + | 0.964225i | \(0.414600\pi\) | |||||||
\(198\) | 15.4860 | + | 0.999766i | 1.10054 | + | 0.0710502i | ||||
\(199\) | 7.74313 | − | 21.2741i | 0.548896 | − | 1.50808i | −0.286307 | − | 0.958138i | \(-0.592428\pi\) |
0.835203 | − | 0.549941i | \(-0.185350\pi\) | |||||||
\(200\) | 1.32440 | + | 4.82141i | 0.0936496 | + | 0.340925i | ||||
\(201\) | −20.9430 | + | 2.07307i | −1.47720 | + | 0.146223i | ||||
\(202\) | −0.794169 | + | 2.96388i | −0.0558775 | + | 0.208538i | ||||
\(203\) | −4.76396 | + | 6.80364i | −0.334365 | + | 0.477522i | ||||
\(204\) | −0.537761 | + | 7.07450i | −0.0376508 | + | 0.495314i | ||||
\(205\) | −7.33227 | − | 10.4019i | −0.512108 | − | 0.726499i | ||||
\(206\) | 6.24753 | + | 1.10161i | 0.435286 | + | 0.0767527i | ||||
\(207\) | −6.30009 | − | 6.01920i | −0.437887 | − | 0.418363i | ||||
\(208\) | −4.10025 | + | 4.10025i | −0.284301 | + | 0.284301i | ||||
\(209\) | −18.7819 | − | 12.4752i | −1.29917 | − | 0.862928i | ||||
\(210\) | −8.69249 | − | 2.19421i | −0.599839 | − | 0.151415i | ||||
\(211\) | −1.04348 | + | 0.379797i | −0.0718363 | + | 0.0261463i | −0.377688 | − | 0.925933i | \(-0.623281\pi\) |
0.305852 | + | 0.952079i | \(0.401059\pi\) | |||||||
\(212\) | 4.04661 | + | 5.77915i | 0.277922 | + | 0.396914i | ||||
\(213\) | −6.35634 | − | 10.7253i | −0.435530 | − | 0.734886i | ||||
\(214\) | −12.0456 | + | 14.3553i | −0.823417 | + | 0.981310i | ||||
\(215\) | 18.6437 | + | 15.5444i | 1.27149 | + | 1.06012i | ||||
\(216\) | 3.54647 | − | 3.79770i | 0.241307 | − | 0.258401i | ||||
\(217\) | −9.25600 | + | 2.48014i | −0.628338 | + | 0.168363i | ||||
\(218\) | 1.48522 | + | 3.18506i | 0.100592 | + | 0.215720i | ||||
\(219\) | −16.1430 | + | 4.52334i | −1.09085 | + | 0.305659i | ||||
\(220\) | 6.60456 | − | 9.49561i | 0.445279 | − | 0.640194i | ||||
\(221\) | −20.5704 | + | 11.8763i | −1.38371 | + | 0.798887i | ||||
\(222\) | 0.121899 | + | 10.6940i | 0.00818132 | + | 0.717732i | ||||
\(223\) | −20.7792 | + | 1.81795i | −1.39148 | + | 0.121739i | −0.758119 | − | 0.652117i | \(-0.773881\pi\) |
−0.633362 | + | 0.773855i | \(0.718326\pi\) | |||||||
\(224\) | −1.77323 | + | 1.48792i | −0.118479 | + | 0.0994158i | ||||
\(225\) | 9.30366 | − | 11.7661i | 0.620244 | − | 0.784409i | ||||
\(226\) | −7.31191 | + | 2.66132i | −0.486381 | + | 0.177028i | ||||
\(227\) | 1.75161 | − | 1.75161i | 0.116259 | − | 0.116259i | −0.646584 | − | 0.762843i | \(-0.723803\pi\) |
0.762843 | + | 0.646584i | \(0.223803\pi\) | |||||||
\(228\) | −7.21761 | + | 2.21497i | −0.477998 | + | 0.146690i | ||||
\(229\) | − | 28.3541i | − | 1.87369i | −0.349742 | − | 0.936846i | \(-0.613731\pi\) | ||
0.349742 | − | 0.936846i | \(-0.386269\pi\) | |||||||
\(230\) | −6.26792 | + | 1.70060i | −0.413294 | + | 0.112134i | ||||
\(231\) | 8.97848 | + | 18.6951i | 0.590741 | + | 1.23005i | ||||
\(232\) | −3.57445 | − | 0.312724i | −0.234674 | − | 0.0205313i | ||||
\(233\) | 1.71266 | + | 19.5758i | 0.112200 | + | 1.28245i | 0.818486 | + | 0.574527i | \(0.194814\pi\) |
−0.706286 | + | 0.707927i | \(0.749631\pi\) | |||||||
\(234\) | 17.1960 | + | 2.62947i | 1.12414 | + | 0.171894i | ||||
\(235\) | 1.15946 | + | 0.417891i | 0.0756349 | + | 0.0272602i | ||||
\(236\) | 3.04686 | + | 1.75910i | 0.198334 | + | 0.114508i | ||||
\(237\) | −0.731415 | + | 1.30087i | −0.0475105 | + | 0.0845006i | ||||
\(238\) | −8.59358 | + | 4.00725i | −0.557039 | + | 0.259751i | ||||
\(239\) | −9.44652 | + | 16.3619i | −0.611045 | + | 1.05836i | 0.380020 | + | 0.924978i | \(0.375917\pi\) |
−0.991065 | + | 0.133382i | \(0.957416\pi\) | |||||||
\(240\) | −1.05668 | − | 3.72605i | −0.0682087 | − | 0.240515i | ||||
\(241\) | −2.11022 | − | 11.9677i | −0.135932 | − | 0.770906i | −0.974207 | − | 0.225658i | \(-0.927547\pi\) |
0.838275 | − | 0.545248i | \(-0.183564\pi\) | |||||||
\(242\) | −15.6974 | + | 1.37335i | −1.00907 | + | 0.0882820i | ||||
\(243\) | −15.4809 | − | 1.82807i | −0.993100 | − | 0.117271i | ||||
\(244\) | 6.31176 | + | 1.11293i | 0.404069 | + | 0.0712483i | ||||
\(245\) | 0.961268 | + | 3.54296i | 0.0614132 | + | 0.226351i | ||||
\(246\) | 5.74589 | + | 8.01009i | 0.366345 | + | 0.510705i | ||||
\(247\) | −19.7554 | − | 15.7664i | −1.25701 | − | 1.00319i | ||||
\(248\) | −2.92720 | − | 2.92720i | −0.185877 | − | 0.185877i | ||||
\(249\) | 24.6604 | + | 16.8518i | 1.56279 | + | 1.06794i | ||||
\(250\) | −3.92271 | − | 10.4696i | −0.248094 | − | 0.662155i | ||||
\(251\) | 7.18179 | + | 8.55893i | 0.453311 | + | 0.540235i | 0.943496 | − | 0.331383i | \(-0.107515\pi\) |
−0.490185 | + | 0.871618i | \(0.663071\pi\) | |||||||
\(252\) | 6.74698 | + | 1.64397i | 0.425020 | + | 0.103560i | ||||
\(253\) | 12.3069 | + | 8.61738i | 0.773728 | + | 0.541770i | ||||
\(254\) | 3.12879 | + | 5.41923i | 0.196318 | + | 0.340033i | ||||
\(255\) | −0.230647 | − | 15.8630i | −0.0144437 | − | 0.993381i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 0.596715 | − | 0.278253i | 0.0372221 | − | 0.0173569i | −0.403918 | − | 0.914795i | \(-0.632352\pi\) |
0.441140 | + | 0.897438i | \(0.354574\pi\) | |||||||
\(258\) | −14.5403 | − | 11.9210i | −0.905239 | − | 0.742168i | ||||
\(259\) | −12.3780 | + | 7.14642i | −0.769129 | + | 0.444057i | ||||
\(260\) | 8.30323 | − | 9.95876i | 0.514945 | − | 0.617616i | ||||
\(261\) | 5.59326 | + | 9.19706i | 0.346214 | + | 0.569284i | ||||
\(262\) | 19.6035 | + | 1.71508i | 1.21111 | + | 0.105958i | ||||
\(263\) | 18.3184 | − | 12.8267i | 1.12956 | − | 0.790926i | 0.149330 | − | 0.988787i | \(-0.452288\pi\) |
0.980230 | + | 0.197861i | \(0.0633996\pi\) | |||||||
\(264\) | −5.05495 | + | 7.39727i | −0.311111 | + | 0.455270i | ||||
\(265\) | −10.1782 | − | 12.0529i | −0.625244 | − | 0.740402i | ||||
\(266\) | −7.30774 | − | 6.95729i | −0.448066 | − | 0.426579i | ||||
\(267\) | 11.8790 | + | 1.95525i | 0.726981 | + | 0.119659i | ||||
\(268\) | 5.13504 | − | 11.0121i | 0.313672 | − | 0.672672i | ||||
\(269\) | 3.24394 | − | 18.3973i | 0.197786 | − | 1.12170i | −0.710608 | − | 0.703588i | \(-0.751580\pi\) |
0.908395 | − | 0.418114i | \(-0.137309\pi\) | |||||||
\(270\) | −7.13108 | + | 9.17321i | −0.433984 | + | 0.558264i | ||||
\(271\) | −14.9483 | − | 12.5431i | −0.908042 | − | 0.761938i | 0.0637034 | − | 0.997969i | \(-0.479709\pi\) |
−0.971746 | + | 0.236031i | \(0.924153\pi\) | |||||||
\(272\) | −3.35545 | − | 2.34951i | −0.203454 | − | 0.142460i | ||||
\(273\) | 8.20000 | + | 21.7545i | 0.496287 | + | 1.31664i | ||||
\(274\) | 2.82036 | + | 1.62834i | 0.170384 | + | 0.0983713i | ||||
\(275\) | −12.7909 | + | 22.4795i | −0.771323 | + | 1.35556i | ||||
\(276\) | 4.84407 | − | 1.35733i | 0.291578 | − | 0.0817014i | ||||
\(277\) | −19.3101 | + | 5.17413i | −1.16023 | + | 0.310884i | −0.787059 | − | 0.616878i | \(-0.788397\pi\) |
−0.373174 | + | 0.927761i | \(0.621731\pi\) | |||||||
\(278\) | −0.135545 | + | 0.505861i | −0.00812945 | + | 0.0303395i | ||||
\(279\) | −1.87720 | + | 12.2764i | −0.112385 | + | 0.734967i | ||||
\(280\) | 3.64849 | − | 3.67148i | 0.218039 | − | 0.219413i | ||||
\(281\) | −4.93989 | − | 5.88714i | −0.294689 | − | 0.351197i | 0.598302 | − | 0.801271i | \(-0.295842\pi\) |
−0.892992 | + | 0.450073i | \(0.851398\pi\) | |||||||
\(282\) | −0.900758 | − | 0.316269i | −0.0536393 | − | 0.0188336i | ||||
\(283\) | −6.69696 | + | 14.3617i | −0.398093 | + | 0.853713i | 0.600446 | + | 0.799666i | \(0.294990\pi\) |
−0.998538 | + | 0.0540471i | \(0.982788\pi\) | |||||||
\(284\) | 7.19804 | 0.427125 | ||||||||
\(285\) | 15.6260 | − | 6.38969i | 0.925604 | − | 0.378492i | ||||
\(286\) | −29.9949 | −1.77363 | ||||||||
\(287\) | −5.56777 | + | 11.9401i | −0.328655 | + | 0.704803i | ||||
\(288\) | 0.842309 | + | 2.87933i | 0.0496336 | + | 0.169666i | ||||
\(289\) | 0.141889 | + | 0.169096i | 0.00834639 | + | 0.00994684i | ||||
\(290\) | 8.02321 | − | 0.0251972i | 0.471139 | − | 0.00147963i | ||||
\(291\) | 9.94083 | − | 10.1701i | 0.582742 | − | 0.596180i | ||||
\(292\) | 2.50515 | − | 9.34935i | 0.146603 | − | 0.547129i | ||||
\(293\) | −2.51097 | + | 0.672813i | −0.146693 | + | 0.0393062i | −0.331418 | − | 0.943484i | \(-0.607527\pi\) |
0.184725 | + | 0.982790i | \(0.440860\pi\) | |||||||
\(294\) | −0.767232 | − | 2.73812i | −0.0447459 | − | 0.159690i | ||||
\(295\) | −7.14029 | − | 3.30231i | −0.415724 | − | 0.192268i | ||||
\(296\) | −5.34733 | − | 3.08728i | −0.310807 | − | 0.179445i | ||||
\(297\) | 26.8627 | − | 0.918930i | 1.55873 | − | 0.0533217i | ||||
\(298\) | 3.30437 | + | 2.31374i | 0.191417 | + | 0.134031i | ||||
\(299\) | 12.9015 | + | 10.8257i | 0.746115 | + | 0.626065i | ||||
\(300\) | 3.10539 | + | 8.08434i | 0.179290 | + | 0.466750i | ||||
\(301\) | 4.36349 | − | 24.7466i | 0.251508 | − | 1.42637i | ||||
\(302\) | −2.19824 | + | 4.71414i | −0.126495 | + | 0.271268i | ||||
\(303\) | −0.863168 | + | 5.24412i | −0.0495877 | + | 0.301267i | ||||
\(304\) | 1.02442 | − | 4.23681i | 0.0587545 | − | 0.242998i | ||||
\(305\) | −14.2806 | − | 1.20421i | −0.817703 | − | 0.0689528i | ||||
\(306\) | 0.280119 | + | 12.2856i | 0.0160133 | + | 0.702318i | ||||
\(307\) | 18.9477 | − | 13.2673i | 1.08140 | − | 0.757207i | 0.109832 | − | 0.993950i | \(-0.464969\pi\) |
0.971572 | + | 0.236743i | \(0.0760799\pi\) | |||||||
\(308\) | −11.9283 | − | 1.04359i | −0.679677 | − | 0.0594640i | ||||
\(309\) | 10.9564 | + | 0.832837i | 0.623286 | + | 0.0473785i | ||||
\(310\) | 7.10964 | + | 5.92774i | 0.403800 | + | 0.336673i | ||||
\(311\) | 20.4202 | − | 11.7896i | 1.15792 | − | 0.668527i | 0.207117 | − | 0.978316i | \(-0.433592\pi\) |
0.950805 | + | 0.309789i | \(0.100259\pi\) | |||||||
\(312\) | −6.36774 | + | 7.76687i | −0.360502 | + | 0.439712i | ||||
\(313\) | −13.9753 | + | 6.51677i | −0.789929 | + | 0.368350i | −0.775340 | − | 0.631544i | \(-0.782422\pi\) |
−0.0145884 | + | 0.999894i | \(0.504644\pi\) | |||||||
\(314\) | 1.85584 | + | 0.675472i | 0.104731 | + | 0.0381191i | ||||
\(315\) | −15.3570 | − | 2.29893i | −0.865267 | − | 0.129530i | ||||
\(316\) | −0.430816 | − | 0.746195i | −0.0242353 | − | 0.0419768i | ||||
\(317\) | 15.7726 | + | 11.0441i | 0.885880 | + | 0.620300i | 0.925430 | − | 0.378918i | \(-0.123704\pi\) |
−0.0395505 | + | 0.999218i | \(0.512593\pi\) | |||||||
\(318\) | 7.96085 | + | 9.27069i | 0.446423 | + | 0.519875i | ||||
\(319\) | −11.9304 | − | 14.2181i | −0.667973 | − | 0.796059i | ||||
\(320\) | 2.16168 | + | 0.571951i | 0.120842 | + | 0.0319730i | ||||
\(321\) | −18.3128 | + | 26.7984i | −1.02212 | + | 1.49574i | ||||
\(322\) | 4.75400 | + | 4.75400i | 0.264930 | + | 0.264930i | ||||
\(323\) | 8.54511 | − | 15.6776i | 0.475463 | − | 0.872325i | ||||
\(324\) | 5.46485 | − | 7.15091i | 0.303603 | − | 0.397273i | ||||
\(325\) | −16.4803 | + | 23.8538i | −0.914162 | + | 1.32317i | ||||
\(326\) | 12.2258 | + | 2.15574i | 0.677125 | + | 0.119395i | ||||
\(327\) | 3.10338 | + | 5.23646i | 0.171618 | + | 0.289577i | ||||
\(328\) | −5.66977 | + | 0.496040i | −0.313060 | + | 0.0273892i | ||||
\(329\) | −0.221551 | − | 1.25648i | −0.0122145 | − | 0.0692719i | ||||
\(330\) | 9.76369 | − | 17.4937i | 0.537474 | − | 0.962999i | ||||
\(331\) | −9.50400 | + | 16.4614i | −0.522387 | + | 0.904801i | 0.477274 | + | 0.878755i | \(0.341625\pi\) |
−0.999661 | + | 0.0260461i | \(0.991708\pi\) | |||||||
\(332\) | −15.6288 | + | 7.28783i | −0.857742 | + | 0.399972i | ||||
\(333\) | 2.03466 | + | 18.4116i | 0.111499 | + | 1.00895i | ||||
\(334\) | −0.0630467 | − | 0.0364000i | −0.00344976 | − | 0.00199172i | ||||
\(335\) | −9.21226 | + | 25.5600i | −0.503320 | + | 1.39649i | ||||
\(336\) | −2.80253 | + | 2.86716i | −0.152891 | + | 0.156416i | ||||
\(337\) | 1.21304 | + | 13.8651i | 0.0660786 | + | 0.755282i | 0.954881 | + | 0.296990i | \(0.0959828\pi\) |
−0.888802 | + | 0.458291i | \(0.848462\pi\) | |||||||
\(338\) | −20.5456 | − | 1.79751i | −1.11753 | − | 0.0977715i | ||||
\(339\) | −12.1489 | + | 5.83464i | −0.659840 | + | 0.316894i | ||||
\(340\) | 7.94670 | + | 4.55481i | 0.430970 | + | 0.247019i | ||||
\(341\) | − | 21.4136i | − | 1.15961i | ||||||
\(342\) | −12.0626 | + | 5.04921i | −0.652269 | + | 0.273030i | ||||
\(343\) | 14.1448 | − | 14.1448i | 0.763750 | − | 0.763750i | ||||
\(344\) | 10.2009 | − | 3.71282i | 0.549995 | − | 0.200182i | ||||
\(345\) | −10.5134 | + | 4.00060i | −0.566023 | + | 0.215385i | ||||
\(346\) | 9.80996 | − | 8.23153i | 0.527387 | − | 0.442530i | ||||
\(347\) | −18.5944 | + | 1.62680i | −0.998198 | + | 0.0873310i | −0.574528 | − | 0.818485i | \(-0.694814\pi\) |
−0.423671 | + | 0.905816i | \(0.639259\pi\) | |||||||
\(348\) | −6.21438 | + | 0.0708367i | −0.333126 | + | 0.00379725i | ||||
\(349\) | −21.0223 | + | 12.1372i | −1.12530 | + | 0.649691i | −0.942748 | − | 0.333506i | \(-0.891768\pi\) |
−0.182549 | + | 0.983197i | \(0.558435\pi\) | |||||||
\(350\) | −7.38376 | + | 8.91272i | −0.394679 | + | 0.476405i | ||||
\(351\) | 30.0881 | + | 1.59832i | 1.60599 | + | 0.0853120i | ||||
\(352\) | −2.18610 | − | 4.68811i | −0.116520 | − | 0.249877i | ||||
\(353\) | 30.3149 | − | 8.12284i | 1.61350 | − | 0.432335i | 0.664415 | − | 0.747364i | \(-0.268681\pi\) |
0.949082 | + | 0.315028i | \(0.102014\pi\) | |||||||
\(354\) | 5.55178 | + | 2.51220i | 0.295074 | + | 0.133522i | ||||
\(355\) | −16.0296 | + | 1.45315i | −0.850761 | + | 0.0771250i | ||||
\(356\) | −4.46777 | + | 5.32448i | −0.236791 | + | 0.282197i | ||||
\(357\) | −14.1284 | + | 8.37320i | −0.747755 | + | 0.443157i | ||||
\(358\) | 7.96120 | + | 11.3698i | 0.420763 | + | 0.600911i | ||||
\(359\) | −1.09951 | + | 0.400188i | −0.0580298 | + | 0.0211211i | −0.370872 | − | 0.928684i | \(-0.620941\pi\) |
0.312842 | + | 0.949805i | \(0.398719\pi\) | |||||||
\(360\) | −2.45705 | − | 6.24203i | −0.129498 | − | 0.328984i | ||||
\(361\) | 18.8508 | + | 2.37652i | 0.992147 | + | 0.125080i | ||||
\(362\) | −16.7605 | + | 16.7605i | −0.880914 | + | 0.880914i | ||||
\(363\) | −26.8222 | + | 5.04535i | −1.40780 | + | 0.264812i | ||||
\(364\) | −13.2187 | − | 2.33081i | −0.692848 | − | 0.122168i | ||||
\(365\) | −3.69135 | + | 21.3261i | −0.193214 | + | 1.11626i | ||||
\(366\) | 11.0690 | + | 0.841400i | 0.578586 | + | 0.0439807i | ||||
\(367\) | 13.5723 | − | 19.3832i | 0.708466 | − | 1.01179i | −0.290032 | − | 0.957017i | \(-0.593666\pi\) |
0.998499 | − | 0.0547777i | \(-0.0174450\pi\) | |||||||
\(368\) | −0.751724 | + | 2.80547i | −0.0391863 | + | 0.146245i | ||||
\(369\) | 11.2704 | + | 12.8261i | 0.586715 | + | 0.667699i | ||||
\(370\) | 12.5314 | + | 5.79566i | 0.651478 | + | 0.301302i | ||||
\(371\) | −5.58552 | + | 15.3461i | −0.289986 | + | 0.796729i | ||||
\(372\) | −5.54483 | − | 4.54598i | −0.287486 | − | 0.235698i | ||||
\(373\) | −25.2834 | − | 6.77467i | −1.30913 | − | 0.350779i | −0.464232 | − | 0.885714i | \(-0.653670\pi\) |
−0.844894 | + | 0.534934i | \(0.820336\pi\) | |||||||
\(374\) | −3.67941 | − | 20.8670i | −0.190258 | − | 1.07901i | ||||
\(375\) | −8.54757 | − | 17.3764i | −0.441395 | − | 0.897313i | ||||
\(376\) | 0.422227 | − | 0.354290i | 0.0217747 | − | 0.0182711i | ||||
\(377\) | −11.9339 | − | 17.0433i | −0.614626 | − | 0.877777i | ||||
\(378\) | 11.9098 | + | 1.68245i | 0.612572 | + | 0.0865359i | ||||
\(379\) | 16.8668i | 0.866388i | 0.901301 | + | 0.433194i | \(0.142614\pi\) | ||||
−0.901301 | + | 0.433194i | \(0.857386\pi\) | |||||||
\(380\) | −1.42599 | + | 9.64192i | −0.0731516 | + | 0.494620i | ||||
\(381\) | 6.31747 | + | 8.80691i | 0.323654 | + | 0.451191i | ||||
\(382\) | 5.34602 | + | 2.49289i | 0.273526 | + | 0.127547i | ||||
\(383\) | −0.172642 | + | 0.120885i | −0.00882160 | + | 0.00617695i | −0.577979 | − | 0.816052i | \(-0.696158\pi\) |
0.569157 | + | 0.822229i | \(0.307270\pi\) | |||||||
\(384\) | −1.67803 | − | 0.429189i | −0.0856318 | − | 0.0219020i | ||||
\(385\) | 26.7742 | − | 0.0840855i | 1.36454 | − | 0.00428540i | ||||
\(386\) | 5.06654 | − | 0.893368i | 0.257880 | − | 0.0454712i | ||||
\(387\) | −27.0959 | − | 18.0665i | −1.37736 | − | 0.918374i | ||||
\(388\) | 2.12511 | + | 7.93100i | 0.107886 | + | 0.402636i | ||||
\(389\) | 6.20438 | + | 2.25821i | 0.314574 | + | 0.114496i | 0.494482 | − | 0.869188i | \(-0.335358\pi\) |
−0.179908 | + | 0.983683i | \(0.557580\pi\) | |||||||
\(390\) | 12.6126 | − | 18.5818i | 0.638662 | − | 0.940928i | ||||
\(391\) | −5.94865 | + | 10.3034i | −0.300836 | + | 0.521064i | ||||
\(392\) | 1.58580 | + | 0.424914i | 0.0800950 | + | 0.0214614i | ||||
\(393\) | 34.0818 | − | 0.388493i | 1.71920 | − | 0.0195969i | ||||
\(394\) | −9.12323 | + | 10.8726i | −0.459622 | + | 0.547756i | ||||
\(395\) | 1.11004 | + | 1.57476i | 0.0558523 | + | 0.0792346i | ||||
\(396\) | −7.45077 | + | 13.6126i | −0.374415 | + | 0.684058i | ||||
\(397\) | 21.7551 | + | 10.1446i | 1.09186 | + | 0.509141i | 0.883271 | − | 0.468863i | \(-0.155336\pi\) |
0.208586 | + | 0.978004i | \(0.433114\pi\) | |||||||
\(398\) | 16.0085 | + | 16.0085i | 0.802432 | + | 0.802432i | ||||
\(399\) | −13.7828 | − | 10.7450i | −0.690005 | − | 0.537921i | ||||
\(400\) | −4.92940 | − | 0.837296i | −0.246470 | − | 0.0418648i | ||||
\(401\) | −10.6844 | − | 29.3553i | −0.533556 | − | 1.46593i | −0.854811 | − | 0.518940i | \(-0.826327\pi\) |
0.321255 | − | 0.946993i | \(-0.395895\pi\) | |||||||
\(402\) | 6.97205 | − | 19.8569i | 0.347734 | − | 0.990373i | ||||
\(403\) | 2.09213 | − | 23.9132i | 0.104216 | − | 1.19120i | ||||
\(404\) | −2.35056 | − | 1.97235i | −0.116945 | − | 0.0981281i | ||||
\(405\) | −10.7262 | + | 17.0279i | −0.532991 | + | 0.846121i | ||||
\(406\) | −4.15286 | − | 7.19296i | −0.206103 | − | 0.356981i | ||||
\(407\) | −8.26655 | − | 30.8512i | −0.409758 | − | 1.52924i | ||||
\(408\) | −6.18441 | − | 3.47719i | −0.306174 | − | 0.172147i | ||||
\(409\) | 2.27562 | − | 6.25221i | 0.112522 | − | 0.309152i | −0.870631 | − | 0.491937i | \(-0.836289\pi\) |
0.983153 | + | 0.182785i | \(0.0585113\pi\) | |||||||
\(410\) | 12.5261 | − | 2.24927i | 0.618618 | − | 0.111083i | ||||
\(411\) | 5.13907 | + | 2.32545i | 0.253491 | + | 0.114706i | ||||
\(412\) | −3.63872 | + | 5.19663i | −0.179267 | + | 0.256019i | ||||
\(413\) | 0.709789 | + | 8.11293i | 0.0349265 | + | 0.399211i | ||||
\(414\) | 8.11778 | − | 3.16600i | 0.398967 | − | 0.155600i | ||||
\(415\) | 33.3331 | − | 19.3847i | 1.63626 | − | 0.951557i | ||||
\(416\) | −1.98325 | − | 5.44893i | −0.0972367 | − | 0.267156i | ||||
\(417\) | −0.147321 | + | 0.895042i | −0.00721436 | + | 0.0438304i | ||||
\(418\) | 19.2439 | − | 11.7499i | 0.941252 | − | 0.574708i | ||||
\(419\) | −23.2872 | −1.13766 | −0.568828 | − | 0.822457i | \(-0.692603\pi\) | ||||
−0.568828 | + | 0.822457i | \(0.692603\pi\) | |||||||
\(420\) | 5.66223 | − | 6.95076i | 0.276289 | − | 0.339162i | ||||
\(421\) | −1.03138 | + | 5.84926i | −0.0502665 | + | 0.285075i | −0.999571 | − | 0.0292820i | \(-0.990678\pi\) |
0.949305 | + | 0.314357i | \(0.101789\pi\) | |||||||
\(422\) | 0.0967822 | − | 1.10623i | 0.00471128 | − | 0.0538502i | ||||
\(423\) | −1.60653 | − | 0.391447i | −0.0781122 | − | 0.0190328i | ||||
\(424\) | −6.94786 | + | 1.22510i | −0.337418 | + | 0.0594959i | ||||
\(425\) | −18.6163 | − | 8.53899i | −0.903024 | − | 0.414202i | ||||
\(426\) | 12.4067 | − | 1.22810i | 0.601108 | − | 0.0595014i | ||||
\(427\) | 6.26988 | + | 13.4458i | 0.303421 | + | 0.650688i | ||||
\(428\) | −7.91968 | − | 16.9838i | −0.382812 | − | 0.820943i | ||||
\(429\) | −51.7000 | + | 5.11759i | −2.49610 | + | 0.247079i | ||||
\(430\) | −21.9672 | + | 10.3276i | −1.05935 | + | 0.498040i | ||||
\(431\) | 0.952481 | − | 0.167948i | 0.0458794 | − | 0.00808978i | −0.150661 | − | 0.988585i | \(-0.548140\pi\) |
0.196541 | + | 0.980496i | \(0.437029\pi\) | |||||||
\(432\) | 1.94308 | + | 4.81917i | 0.0934867 | + | 0.231863i | ||||
\(433\) | −0.895747 | + | 10.2384i | −0.0430469 | + | 0.492028i | 0.943816 | + | 0.330470i | \(0.107207\pi\) |
−0.986863 | + | 0.161558i | \(0.948348\pi\) | |||||||
\(434\) | 1.66399 | − | 9.43693i | 0.0798739 | − | 0.452987i | ||||
\(435\) | 13.8247 | − | 1.41231i | 0.662844 | − | 0.0677152i | ||||
\(436\) | −3.51433 | −0.168306 | ||||||||
\(437\) | −12.5181 | − | 1.89154i | −0.598820 | − | 0.0904848i | ||||
\(438\) | 2.72280 | − | 16.5422i | 0.130101 | − | 0.790417i | ||||
\(439\) | −11.6084 | − | 31.8939i | −0.554041 | − | 1.52222i | −0.828144 | − | 0.560515i | \(-0.810603\pi\) |
0.274103 | − | 0.961700i | \(-0.411619\pi\) | |||||||
\(440\) | 5.81474 | + | 9.99878i | 0.277207 | + | 0.476673i | ||||
\(441\) | −1.78959 | − | 4.58860i | −0.0852184 | − | 0.218505i | ||||
\(442\) | −2.07018 | − | 23.6622i | −0.0984683 | − | 1.12550i | ||||
\(443\) | 16.3882 | − | 23.4048i | 0.778627 | − | 1.11199i | −0.212249 | − | 0.977216i | \(-0.568079\pi\) |
0.990876 | − | 0.134779i | \(-0.0430323\pi\) | |||||||
\(444\) | −9.74355 | − | 4.40899i | −0.462408 | − | 0.209241i | ||||
\(445\) | 8.87452 | − | 12.7592i | 0.420693 | − | 0.604845i | ||||
\(446\) | 7.13407 | − | 19.6007i | 0.337808 | − | 0.928119i | ||||
\(447\) | 6.09025 | + | 3.42425i | 0.288059 | + | 0.161962i | ||||
\(448\) | −0.599112 | − | 2.23592i | −0.0283054 | − | 0.105637i | ||||
\(449\) | 6.97536 | + | 12.0817i | 0.329188 | + | 0.570170i | 0.982351 | − | 0.187047i | \(-0.0598917\pi\) |
−0.653163 | + | 0.757217i | \(0.726558\pi\) | |||||||
\(450\) | 6.73184 | + | 13.4046i | 0.317342 | + | 0.631897i | ||||
\(451\) | −22.5526 | − | 18.9239i | −1.06196 | − | 0.891091i | ||||
\(452\) | 0.678173 | − | 7.75156i | 0.0318986 | − | 0.364603i | ||||
\(453\) | −2.98464 | + | 8.50048i | −0.140231 | + | 0.399387i | ||||
\(454\) | 0.847237 | + | 2.32777i | 0.0397628 | + | 0.109247i | ||||
\(455\) | 29.9077 | + | 2.52197i | 1.40210 | + | 0.118232i | ||||
\(456\) | 1.04285 | − | 7.47746i | 0.0488361 | − | 0.350164i | ||||
\(457\) | 19.8917 | + | 19.8917i | 0.930497 | + | 0.930497i | 0.997737 | − | 0.0672403i | \(-0.0214194\pi\) |
−0.0672403 | + | 0.997737i | \(0.521419\pi\) | |||||||
\(458\) | 25.6975 | + | 11.9830i | 1.20077 | + | 0.559927i | ||||
\(459\) | 2.57892 | + | 21.1279i | 0.120374 | + | 0.986167i | ||||
\(460\) | 1.10767 | − | 6.39937i | 0.0516454 | − | 0.298372i | ||||
\(461\) | 2.98083 | − | 3.55241i | 0.138831 | − | 0.165452i | −0.692149 | − | 0.721755i | \(-0.743336\pi\) |
0.830980 | + | 0.556302i | \(0.187780\pi\) | |||||||
\(462\) | −20.7380 | + | 0.236389i | −0.964817 | + | 0.0109978i | ||||
\(463\) | −7.83870 | − | 2.10037i | −0.364295 | − | 0.0976126i | 0.0720280 | − | 0.997403i | \(-0.477053\pi\) |
−0.436323 | + | 0.899790i | \(0.643720\pi\) | |||||||
\(464\) | 1.79405 | − | 3.10739i | 0.0832868 | − | 0.144257i | ||||
\(465\) | 13.2657 | + | 9.00421i | 0.615183 | + | 0.417560i | ||||
\(466\) | −18.4655 | − | 6.72089i | −0.855398 | − | 0.311339i | ||||
\(467\) | −0.187171 | − | 0.698530i | −0.00866122 | − | 0.0323241i | 0.961460 | − | 0.274945i | \(-0.0886596\pi\) |
−0.970121 | + | 0.242621i | \(0.921993\pi\) | |||||||
\(468\) | −9.65046 | + | 14.4736i | −0.446092 | + | 0.669043i | ||||
\(469\) | 27.6986 | − | 4.88402i | 1.27900 | − | 0.225523i | ||||
\(470\) | −0.868747 | + | 0.874221i | −0.0400723 | + | 0.0403248i | ||||
\(471\) | 3.31403 | + | 0.847627i | 0.152702 | + | 0.0390566i | ||||
\(472\) | −2.88195 | + | 2.01796i | −0.132652 | + | 0.0928842i | ||||
\(473\) | 50.8920 | + | 23.7313i | 2.34002 | + | 1.09117i | ||||
\(474\) | −0.869879 | − | 1.21266i | −0.0399548 | − | 0.0556993i | ||||
\(475\) | 1.22906 | − | 21.7598i | 0.0563932 | − | 0.998409i | ||||
\(476\) | − | 9.48196i | − | 0.434605i | ||||||
\(477\) | 15.3033 | + | 14.6210i | 0.700688 | + | 0.669448i | ||||
\(478\) | −10.8366 | − | 15.4763i | −0.495655 | − | 0.707868i | ||||
\(479\) | −4.54804 | + | 3.81626i | −0.207805 | + | 0.174369i | −0.740750 | − | 0.671781i | \(-0.765530\pi\) |
0.532945 | + | 0.846150i | \(0.321085\pi\) | |||||||
\(480\) | 3.82352 | + | 0.617014i | 0.174519 | + | 0.0281627i | ||||
\(481\) | −6.21730 | − | 35.2601i | −0.283485 | − | 1.60772i | ||||
\(482\) | 11.7382 | + | 3.14525i | 0.534661 | + | 0.143262i | ||||
\(483\) | 9.00523 | + | 7.38302i | 0.409752 | + | 0.335939i | ||||
\(484\) | 5.38934 | − | 14.8071i | 0.244970 | − | 0.673049i | ||||
\(485\) | −6.33359 | − | 17.2328i | −0.287594 | − | 0.782502i | ||||
\(486\) | 8.19930 | − | 13.2579i | 0.371928 | − | 0.601390i | ||||
\(487\) | −6.18452 | + | 23.0809i | −0.280247 | + | 1.04590i | 0.671996 | + | 0.740555i | \(0.265437\pi\) |
−0.952243 | + | 0.305342i | \(0.901229\pi\) | |||||||
\(488\) | −3.67613 | + | 5.25005i | −0.166410 | + | 0.237659i | ||||
\(489\) | 21.4406 | + | 1.62978i | 0.969575 | + | 0.0737013i | ||||
\(490\) | −3.61726 | − | 0.626113i | −0.163411 | − | 0.0282849i | ||||
\(491\) | −14.1292 | − | 2.49136i | −0.637643 | − | 0.112434i | −0.154525 | − | 0.987989i | \(-0.549385\pi\) |
−0.483118 | + | 0.875555i | \(0.660496\pi\) | |||||||
\(492\) | −9.68793 | + | 1.82234i | −0.436766 | + | 0.0821573i | ||||
\(493\) | 10.3929 | − | 10.3929i | 0.468072 | − | 0.468072i | ||||
\(494\) | 22.6382 | − | 11.2413i | 1.01854 | − | 0.505771i | ||||
\(495\) | 13.8443 | − | 31.8185i | 0.622254 | − | 1.43014i | ||||
\(496\) | 3.89003 | − | 1.41586i | 0.174668 | − | 0.0635738i | ||||
\(497\) | 9.55691 | + | 13.6487i | 0.428686 | + | 0.612227i | ||||
\(498\) | −25.6948 | + | 15.2280i | −1.15141 | + | 0.682384i | ||||
\(499\) | 2.50137 | − | 2.98101i | 0.111977 | − | 0.133448i | −0.707145 | − | 0.707069i | \(-0.750017\pi\) |
0.819121 | + | 0.573620i | \(0.194462\pi\) | |||||||
\(500\) | 11.1465 | + | 0.869453i | 0.498486 | + | 0.0388831i | ||||
\(501\) | −0.114879 | − | 0.0519833i | −0.00513243 | − | 0.00232244i | ||||
\(502\) | −10.7922 | + | 2.89176i | −0.481679 | + | 0.129065i | ||||
\(503\) | −11.7008 | − | 25.0925i | −0.521714 | − | 1.11882i | −0.973917 | − | 0.226904i | \(-0.927140\pi\) |
0.452203 | − | 0.891915i | \(-0.350638\pi\) | |||||||
\(504\) | −4.34134 | + | 5.42007i | −0.193378 | + | 0.241429i | ||||
\(505\) | 5.63272 | + | 3.91777i | 0.250653 | + | 0.174338i | ||||
\(506\) | −13.0111 | + | 7.51197i | −0.578415 | + | 0.333948i | ||||
\(507\) | −35.7197 | + | 0.407163i | −1.58637 | + | 0.0180827i | ||||
\(508\) | −6.23377 | + | 0.545384i | −0.276579 | + | 0.0241975i | ||||
\(509\) | −2.86744 | + | 2.40606i | −0.127097 | + | 0.106647i | −0.704120 | − | 0.710081i | \(-0.748659\pi\) |
0.577024 | + | 0.816727i | \(0.304214\pi\) | |||||||
\(510\) | 14.4743 | + | 6.49497i | 0.640931 | + | 0.287602i | ||||
\(511\) | 21.0540 | − | 7.66304i | 0.931375 | − | 0.338993i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −19.9299 | + | 10.7610i | −0.879926 | + | 0.475110i | ||||
\(514\) | 0.658402i | 0.0290409i | ||||||||
\(515\) | 7.05409 | − | 12.3071i | 0.310840 | − | 0.542317i | ||||
\(516\) | 16.9491 | − | 8.13995i | 0.746141 | − | 0.358341i | ||||
\(517\) | 2.84026 | + | 0.248490i | 0.124914 | + | 0.0109286i | ||||
\(518\) | −1.24570 | − | 14.2384i | −0.0547330 | − | 0.625601i | ||||
\(519\) | 15.5043 | − | 15.8618i | 0.680562 | − | 0.696257i | ||||
\(520\) | 5.51660 | + | 11.7340i | 0.241919 | + | 0.514571i | ||||
\(521\) | −18.4177 | − | 10.6335i | −0.806896 | − | 0.465862i | 0.0389809 | − | 0.999240i | \(-0.487589\pi\) |
−0.845877 | + | 0.533378i | \(0.820922\pi\) | |||||||
\(522\) | −10.6992 | + | 1.18236i | −0.468290 | + | 0.0517507i | ||||
\(523\) | −21.7311 | + | 10.1334i | −0.950236 | + | 0.443102i | −0.835009 | − | 0.550237i | \(-0.814537\pi\) |
−0.115227 | + | 0.993339i | \(0.536760\pi\) | |||||||
\(524\) | −9.83919 | + | 17.0420i | −0.429827 | + | 0.744483i | ||||
\(525\) | −11.2062 | + | 16.6220i | −0.489079 | + | 0.725443i | ||||
\(526\) | 3.88323 | + | 22.0229i | 0.169317 | + | 0.960243i | ||||
\(527\) | 16.8927 | − | 1.47792i | 0.735856 | − | 0.0643791i | ||||
\(528\) | −4.56788 | − | 7.70756i | −0.198792 | − | 0.335429i | ||||
\(529\) | −14.3430 | − | 2.52905i | −0.623607 | − | 0.109959i | ||||
\(530\) | 15.2251 | − | 4.13085i | 0.661337 | − | 0.179433i | ||||
\(531\) | 9.99781 | + | 3.38288i | 0.433868 | + | 0.146804i | ||||
\(532\) | 9.39383 | − | 3.68278i | 0.407274 | − | 0.159669i | ||||
\(533\) | −23.3363 | − | 23.3363i | −1.01081 | − | 1.01081i | ||||
\(534\) | −6.79233 | + | 9.93968i | −0.293933 | + | 0.430132i | ||||
\(535\) | 21.0653 | + | 36.2230i | 0.910733 | + | 1.56606i | ||||
\(536\) | 7.81021 | + | 9.30785i | 0.337350 | + | 0.402038i | ||||
\(537\) | 15.6620 | + | 18.2389i | 0.675865 | + | 0.787069i | ||||
\(538\) | 15.3026 | + | 10.7150i | 0.659744 | + | 0.461958i | ||||
\(539\) | 4.24616 | + | 7.35457i | 0.182895 | + | 0.316784i | ||||
\(540\) | −5.30002 | − | 10.3397i | −0.228077 | − | 0.444951i | ||||
\(541\) | 16.2609 | + | 5.91850i | 0.699112 | + | 0.254456i | 0.667032 | − | 0.745029i | \(-0.267565\pi\) |
0.0320804 | + | 0.999485i | \(0.489787\pi\) | |||||||
\(542\) | 17.6853 | − | 8.24679i | 0.759649 | − | 0.354230i | ||||
\(543\) | −26.0293 | + | 31.7485i | −1.11702 | + | 1.36246i | ||||
\(544\) | 3.54746 | − | 2.04812i | 0.152096 | − | 0.0878126i | ||||
\(545\) | 7.82618 | − | 0.709476i | 0.335237 | − | 0.0303906i | ||||
\(546\) | −23.1818 | − | 1.76214i | −0.992088 | − | 0.0754126i | ||||
\(547\) | 21.6612 | + | 1.89511i | 0.926165 | + | 0.0810289i | 0.540249 | − | 0.841505i | \(-0.318330\pi\) |
0.385916 | + | 0.922534i | \(0.373886\pi\) | |||||||
\(548\) | −2.66771 | + | 1.86795i | −0.113959 | + | 0.0797949i | ||||
\(549\) | 19.2224 | − | 0.438283i | 0.820392 | − | 0.0187055i | ||||
\(550\) | −14.9676 | − | 21.0928i | −0.638222 | − | 0.899398i | ||||
\(551\) | 14.3329 | + | 6.25970i | 0.610601 | + | 0.266672i | ||||
\(552\) | −0.817036 | + | 4.96385i | −0.0347753 | + | 0.211275i | ||||
\(553\) | 0.842912 | − | 1.80763i | 0.0358442 | − | 0.0768682i | ||||
\(554\) | 3.47146 | − | 19.6876i | 0.147488 | − | 0.836446i | ||||
\(555\) | 22.5883 | + | 7.85150i | 0.958822 | + | 0.333278i | ||||
\(556\) | −0.401182 | − | 0.336632i | −0.0170139 | − | 0.0142764i | ||||
\(557\) | 6.07927 | + | 4.25675i | 0.257587 | + | 0.180364i | 0.695236 | − | 0.718782i | \(-0.255300\pi\) |
−0.437649 | + | 0.899146i | \(0.644189\pi\) | |||||||
\(558\) | −10.3328 | − | 6.88954i | −0.437424 | − | 0.291657i | ||||
\(559\) | 54.5140 | + | 31.4737i | 2.30570 | + | 1.33120i | ||||
\(560\) | 1.78557 | + | 4.85829i | 0.0754542 | + | 0.205300i | ||||
\(561\) | −9.90216 | − | 35.3391i | −0.418070 | − | 1.49202i | ||||
\(562\) | 7.42325 | − | 1.98905i | 0.313131 | − | 0.0839031i | ||||
\(563\) | −9.17460 | + | 34.2401i | −0.386663 | + | 1.44305i | 0.448865 | + | 0.893600i | \(0.351828\pi\) |
−0.835528 | + | 0.549447i | \(0.814838\pi\) | |||||||
\(564\) | 0.667314 | − | 0.682702i | 0.0280990 | − | 0.0287470i | ||||
\(565\) | 0.0546427 | + | 17.3991i | 0.00229884 | + | 0.731987i | ||||
\(566\) | −10.1858 | − | 12.1390i | −0.428143 | − | 0.510241i | ||||
\(567\) | 20.8150 | + | 0.867929i | 0.874149 | + | 0.0364496i | ||||
\(568\) | −3.04202 | + | 6.52364i | −0.127640 | + | 0.273726i | ||||
\(569\) | −13.2833 | −0.556863 | −0.278432 | − | 0.960456i | \(-0.589815\pi\) | ||||
−0.278432 | + | 0.960456i | \(0.589815\pi\) | |||||||
\(570\) | −0.812810 | + | 16.8624i | −0.0340449 | + | 0.706287i | ||||
\(571\) | −16.2415 | −0.679686 | −0.339843 | − | 0.940482i | \(-0.610374\pi\) | ||||
−0.339843 | + | 0.940482i | \(0.610374\pi\) | |||||||
\(572\) | 12.6764 | − | 27.1846i | 0.530026 | − | 1.13664i | ||||
\(573\) | 9.63987 | + | 3.38470i | 0.402711 | + | 0.141398i | ||||
\(574\) | −8.46838 | − | 10.0922i | −0.353463 | − | 0.421241i | ||||
\(575\) | −1.17480 | + | 14.4746i | −0.0489926 | + | 0.603633i | ||||
\(576\) | −2.96553 | − | 0.453464i | −0.123564 | − | 0.0188943i | ||||
\(577\) | −2.16816 | + | 8.09167i | −0.0902616 | + | 0.336861i | −0.996258 | − | 0.0864235i | \(-0.972456\pi\) |
0.905997 | + | 0.423284i | \(0.139123\pi\) | |||||||
\(578\) | −0.213218 | + | 0.0571316i | −0.00886870 | + | 0.00237636i | ||||
\(579\) | 8.58041 | − | 2.40426i | 0.356590 | − | 0.0999178i | ||||
\(580\) | −3.36792 | + | 7.28214i | −0.139845 | + | 0.302375i | ||||
\(581\) | −34.5695 | − | 19.9587i | −1.43418 | − | 0.828026i | ||||
\(582\) | 5.01604 | + | 13.3075i | 0.207922 | + | 0.551614i | ||||
\(583\) | −29.8941 | − | 20.9321i | −1.23809 | − | 0.866919i | ||||
\(584\) | 7.41466 | + | 6.22164i | 0.306821 | + | 0.257453i | ||||
\(585\) | 18.5690 | − | 34.1801i | 0.767734 | − | 1.41317i | ||||
\(586\) | 0.451407 | − | 2.56006i | 0.0186475 | − | 0.105755i | ||||
\(587\) | −6.57581 | + | 14.1019i | −0.271413 | + | 0.582047i | −0.994018 | − | 0.109214i | \(-0.965167\pi\) |
0.722605 | + | 0.691261i | \(0.242944\pi\) | |||||||
\(588\) | 2.80583 | + | 0.461831i | 0.115710 | + | 0.0190456i | ||||
\(589\) | 8.02527 | + | 16.1616i | 0.330676 | + | 0.665928i | ||||
\(590\) | 6.01053 | − | 5.07568i | 0.247449 | − | 0.208963i | ||||
\(591\) | −13.8700 | + | 20.2969i | −0.570536 | + | 0.834905i | ||||
\(592\) | 5.05791 | − | 3.54159i | 0.207879 | − | 0.145558i | ||||
\(593\) | −45.9303 | − | 4.01838i | −1.88613 | − | 0.165015i | −0.914984 | − | 0.403490i | \(-0.867797\pi\) |
−0.971149 | + | 0.238474i | \(0.923353\pi\) | |||||||
\(594\) | −10.5198 | + | 24.7342i | −0.431634 | + | 1.01486i | ||||
\(595\) | 1.91423 | + | 21.1157i | 0.0784757 | + | 0.865660i | ||||
\(596\) | −3.49345 | + | 2.01694i | −0.143097 | + | 0.0826172i | ||||
\(597\) | 30.3239 | + | 24.8613i | 1.24108 | + | 1.01751i | ||||
\(598\) | −15.2638 | + | 7.11764i | −0.624184 | + | 0.291062i | ||||
\(599\) | 19.3155 | + | 7.03025i | 0.789208 | + | 0.287248i | 0.705007 | − | 0.709201i | \(-0.250944\pi\) |
0.0842012 | + | 0.996449i | \(0.473166\pi\) | |||||||
\(600\) | −8.63929 | − | 0.602155i | −0.352698 | − | 0.0245829i | ||||
\(601\) | −14.2130 | − | 24.6176i | −0.579759 | − | 1.00417i | −0.995507 | − | 0.0946922i | \(-0.969813\pi\) |
0.415747 | − | 0.909480i | \(-0.363520\pi\) | |||||||
\(602\) | 20.5839 | + | 14.4130i | 0.838939 | + | 0.587431i | ||||
\(603\) | 8.62932 | − | 35.4154i | 0.351413 | − | 1.44223i | ||||
\(604\) | −3.34345 | − | 3.98456i | −0.136043 | − | 0.162130i | ||||
\(605\) | −9.01244 | + | 34.0624i | −0.366408 | + | 1.38484i | ||||
\(606\) | −4.38800 | − | 2.99856i | −0.178250 | − | 0.121808i | ||||
\(607\) | −15.9044 | − | 15.9044i | −0.645540 | − | 0.645540i | 0.306372 | − | 0.951912i | \(-0.400885\pi\) |
−0.951912 | + | 0.306372i | \(0.900885\pi\) | |||||||
\(608\) | 3.40692 | + | 2.71899i | 0.138169 | + | 0.110270i | ||||
\(609\) | −8.38521 | − | 11.6894i | −0.339786 | − | 0.473680i | ||||
\(610\) | 7.12662 | − | 12.4337i | 0.288548 | − | 0.503425i | ||||
\(611\) | 3.14752 | + | 0.554992i | 0.127335 | + | 0.0224526i | ||||
\(612\) | −11.2529 | − | 4.93823i | −0.454871 | − | 0.199616i | ||||
\(613\) | 16.1715 | − | 1.41482i | 0.653161 | − | 0.0571442i | 0.244241 | − | 0.969715i | \(-0.421461\pi\) |
0.408920 | + | 0.912570i | \(0.365906\pi\) | |||||||
\(614\) | 4.01664 | + | 22.7795i | 0.162098 | + | 0.919306i | ||||
\(615\) | 21.2065 | − | 6.01404i | 0.855129 | − | 0.242509i | ||||
\(616\) | 5.98692 | − | 10.3697i | 0.241220 | − | 0.417805i | ||||
\(617\) | 26.2585 | − | 12.2446i | 1.05713 | − | 0.492947i | 0.185262 | − | 0.982689i | \(-0.440687\pi\) |
0.871868 | + | 0.489742i | \(0.162909\pi\) | |||||||
\(618\) | −5.38517 | + | 9.57787i | −0.216623 | + | 0.385278i | ||||
\(619\) | −1.17648 | − | 0.679242i | −0.0472868 | − | 0.0273010i | 0.476170 | − | 0.879353i | \(-0.342025\pi\) |
−0.523457 | + | 0.852052i | \(0.675358\pi\) | |||||||
\(620\) | −8.37702 | + | 3.93835i | −0.336429 | + | 0.158168i | ||||
\(621\) | 13.4519 | − | 6.84201i | 0.539805 | − | 0.274561i | ||||
\(622\) | 2.05506 | + | 23.4895i | 0.0824005 | + | 0.941842i | ||||
\(623\) | −16.0280 | − | 1.40227i | −0.642148 | − | 0.0561807i | ||||
\(624\) | −4.34805 | − | 9.05355i | −0.174061 | − | 0.362432i | ||||
\(625\) | −24.9980 | + | 0.314045i | −0.999921 | + | 0.0125618i | ||||
\(626\) | − | 15.4200i | − | 0.616307i | ||||||
\(627\) | 31.1647 | − | 23.5358i | 1.24460 | − | 0.939929i | ||||
\(628\) | −1.39650 | + | 1.39650i | −0.0557264 | + | 0.0557264i | ||||
\(629\) | 23.7672 | − | 8.65057i | 0.947662 | − | 0.344921i | ||||
\(630\) | 8.57367 | − | 12.9466i | 0.341583 | − | 0.515804i | ||||
\(631\) | −13.7029 | + | 11.4981i | −0.545504 | + | 0.457732i | −0.873415 | − | 0.486976i | \(-0.838100\pi\) |
0.327911 | + | 0.944709i | \(0.393655\pi\) | |||||||
\(632\) | 0.858353 | − | 0.0750962i | 0.0341435 | − | 0.00298717i | ||||
\(633\) | −0.0219226 | − | 1.92323i | −0.000871346 | − | 0.0764416i | ||||
\(634\) | −16.6752 | + | 9.62742i | −0.662256 | + | 0.382354i | ||||
\(635\) | 13.7721 | − | 2.47302i | 0.546529 | − | 0.0981386i | ||||
\(636\) | −11.7665 | + | 3.29702i | −0.466572 | + | 0.130735i | ||||
\(637\) | 4.02326 | + | 8.62791i | 0.159407 | + | 0.341850i | ||||
\(638\) | 17.9280 | − | 4.80378i | 0.709774 | − | 0.190183i | ||||
\(639\) | 21.1751 | − | 4.23356i | 0.837672 | − | 0.167477i | ||||
\(640\) | −1.43193 | + | 1.71743i | −0.0566020 | + | 0.0678875i | ||||
\(641\) | 3.85530 | − | 4.59457i | 0.152275 | − | 0.181474i | −0.684514 | − | 0.729000i | \(-0.739986\pi\) |
0.836789 | + | 0.547525i | \(0.184430\pi\) | |||||||
\(642\) | −16.5483 | − | 27.9225i | −0.653108 | − | 1.10201i | ||||
\(643\) | −7.74680 | − | 11.0636i | −0.305504 | − | 0.436305i | 0.636817 | − | 0.771015i | \(-0.280251\pi\) |
−0.942321 | + | 0.334710i | \(0.891362\pi\) | |||||||
\(644\) | −6.31771 | + | 2.29946i | −0.248953 | + | 0.0906114i | ||||
\(645\) | −36.1012 | + | 21.5488i | −1.42148 | + | 0.848485i | ||||
\(646\) | 10.5974 | + | 14.3701i | 0.416950 | + | 0.565385i | ||||
\(647\) | −19.3902 | + | 19.3902i | −0.762307 | + | 0.762307i | −0.976739 | − | 0.214432i | \(-0.931210\pi\) |
0.214432 | + | 0.976739i | \(0.431210\pi\) | |||||||
\(648\) | 4.17138 | + | 7.97494i | 0.163867 | + | 0.313285i | ||||
\(649\) | −17.9223 | − | 3.16019i | −0.703514 | − | 0.124048i | ||||
\(650\) | −14.6540 | − | 25.0172i | −0.574777 | − | 0.981257i | ||||
\(651\) | 1.25801 | − | 16.5497i | 0.0493051 | − | 0.648632i | ||||
\(652\) | −7.12062 | + | 10.1693i | −0.278865 | + | 0.398260i | ||||
\(653\) | 11.4952 | − | 42.9006i | 0.449841 | − | 1.67883i | −0.252987 | − | 0.967470i | \(-0.581413\pi\) |
0.702828 | − | 0.711360i | \(-0.251920\pi\) | |||||||
\(654\) | −6.05739 | + | 0.599598i | −0.236863 | + | 0.0234461i | ||||
\(655\) | 18.4708 | − | 39.9378i | 0.721714 | − | 1.56050i | ||||
\(656\) | 1.94658 | − | 5.34819i | 0.0760012 | − | 0.208812i | ||||
\(657\) | 1.87074 | − | 28.9771i | 0.0729846 | − | 1.13051i | ||||
\(658\) | 1.23239 | + | 0.330217i | 0.0480435 | + | 0.0128732i | ||||
\(659\) | −2.31019 | − | 13.1017i | −0.0899922 | − | 0.510371i | −0.996167 | − | 0.0874685i | \(-0.972122\pi\) |
0.906175 | − | 0.422903i | \(-0.138989\pi\) | |||||||
\(660\) | 11.7284 | + | 16.2421i | 0.456527 | + | 0.632222i | ||||
\(661\) | 20.0681 | − | 16.8391i | 0.780557 | − | 0.654965i | −0.162832 | − | 0.986654i | \(-0.552063\pi\) |
0.943389 | + | 0.331688i | \(0.107618\pi\) | |||||||
\(662\) | −10.9025 | − | 15.5704i | −0.423739 | − | 0.605162i | ||||
\(663\) | −7.60536 | − | 40.4317i | −0.295368 | − | 1.57024i | ||||
\(664\) | − | 17.2445i | − | 0.669216i | ||||||
\(665\) | −20.1760 | + | 10.0978i | −0.782391 | + | 0.391574i | ||||
\(666\) | −17.5465 | − | 5.93706i | −0.679912 | − | 0.230056i | ||||
\(667\) | −9.44503 | − | 4.40429i | −0.365713 | − | 0.170535i | ||||
\(668\) | 0.0596343 | − | 0.0417564i | 0.00230732 | − | 0.00161560i | ||||
\(669\) | 8.95229 | − | 35.0015i | 0.346116 | − | 1.35323i | ||||
\(670\) | −19.2719 | − | 19.1512i | −0.744539 | − | 0.739877i | ||||
\(671\) | −32.6492 | + | 5.75693i | −1.26041 | + | 0.222244i | ||||
\(672\) | −1.41413 | − | 3.75167i | −0.0545512 | − | 0.144724i | ||||
\(673\) | 5.85979 | + | 21.8690i | 0.225878 | + | 0.842989i | 0.982051 | + | 0.188617i | \(0.0604004\pi\) |
−0.756172 | + | 0.654372i | \(0.772933\pi\) | |||||||
\(674\) | −13.0787 | − | 4.76027i | −0.503774 | − | 0.183359i | ||||
\(675\) | 13.8902 | + | 21.9559i | 0.534634 | + | 0.845084i | ||||
\(676\) | 10.3120 | − | 17.8610i | 0.396617 | − | 0.686961i | ||||
\(677\) | −23.1118 | − | 6.19280i | −0.888260 | − | 0.238009i | −0.214292 | − | 0.976770i | \(-0.568745\pi\) |
−0.673968 | + | 0.738761i | \(0.735411\pi\) | |||||||
\(678\) | −0.153617 | − | 13.4765i | −0.00589961 | − | 0.517562i | ||||
\(679\) | −12.2170 | + | 14.5596i | −0.468844 | + | 0.558747i | ||||
\(680\) | −7.48648 | + | 5.27721i | −0.287093 | + | 0.202372i | ||||
\(681\) | 1.85747 | + | 3.86765i | 0.0711786 | + | 0.148209i | ||||
\(682\) | 19.4073 | + | 9.04977i | 0.743144 | + | 0.346534i | ||||
\(683\) | 5.43172 | + | 5.43172i | 0.207839 | + | 0.207839i | 0.803348 | − | 0.595509i | \(-0.203050\pi\) |
−0.595509 | + | 0.803348i | \(0.703050\pi\) | |||||||
\(684\) | 0.521720 | − | 13.0663i | 0.0199485 | − | 0.499602i | ||||
\(685\) | 5.56371 | − | 4.69836i | 0.212579 | − | 0.179515i | ||||
\(686\) | 6.84171 | + | 18.7974i | 0.261218 | + | 0.717690i | ||||
\(687\) | 46.3375 | + | 16.2698i | 1.76788 | + | 0.620730i | ||||
\(688\) | −0.946125 | + | 10.8143i | −0.0360707 | + | 0.412290i | ||||
\(689\) | −31.3386 | − | 26.2962i | −1.19390 | − | 1.00180i | ||||
\(690\) | 0.817380 | − | 11.2191i | 0.0311171 | − | 0.427104i | ||||
\(691\) | 17.6543 | + | 30.5781i | 0.671600 | + | 1.16325i | 0.977450 | + | 0.211166i | \(0.0677260\pi\) |
−0.305850 | + | 0.952080i | \(0.598941\pi\) | |||||||
\(692\) | 3.31443 | + | 12.3696i | 0.125996 | + | 0.470223i | ||||
\(693\) | −35.7042 | + | 3.94566i | −1.35629 | + | 0.149883i | ||||
\(694\) | 6.38394 | − | 17.5397i | 0.242331 | − | 0.665800i | ||||
\(695\) | 0.961366 | + | 0.668666i | 0.0364667 | + | 0.0253640i | ||||
\(696\) | 2.56211 | − | 5.66207i | 0.0971165 | − | 0.214620i | ||||
\(697\) | 13.3721 | − | 19.0973i | 0.506503 | − | 0.723362i | ||||
\(698\) | −2.11566 | − | 24.1821i | −0.0800788 | − | 0.915305i | ||||
\(699\) | −32.9743 | − | 8.43382i | −1.24720 | − | 0.318996i | ||||
\(700\) | −4.95715 | − | 10.4586i | −0.187363 | − | 0.395299i | ||||
\(701\) | 5.16687 | + | 14.1958i | 0.195150 | + | 0.536170i | 0.998215 | − | 0.0597213i | \(-0.0190212\pi\) |
−0.803065 | + | 0.595891i | \(0.796799\pi\) | |||||||
\(702\) | −14.1644 | + | 26.5936i | −0.534600 | + | 1.00371i | ||||
\(703\) | 17.8013 | + | 20.1865i | 0.671390 | + | 0.761347i | ||||
\(704\) | 5.17275 | 0.194955 | ||||||||
\(705\) | −1.34824 | + | 1.65505i | −0.0507777 | + | 0.0623329i | ||||
\(706\) | −5.44982 | + | 30.9075i | −0.205107 | + | 1.16322i | ||||
\(707\) | 0.619048 | − | 7.07576i | 0.0232817 | − | 0.266111i | ||||
\(708\) | −4.62311 | + | 3.96992i | −0.173747 | + | 0.149199i | ||||
\(709\) | −0.729072 | + | 0.128555i | −0.0273809 | + | 0.00482798i | −0.187322 | − | 0.982299i | \(-0.559981\pi\) |
0.159941 | + | 0.987127i | \(0.448870\pi\) | |||||||
\(710\) | 5.45739 | − | 15.1419i | 0.204812 | − | 0.568264i | ||||
\(711\) | −1.70624 | − | 1.94176i | −0.0639892 | − | 0.0728216i | ||||
\(712\) | −2.93746 | − | 6.29939i | −0.110086 | − | 0.236080i | ||||
\(713\) | −5.08134 | − | 10.8970i | −0.190298 | − | 0.408095i | ||||
\(714\) | −1.61777 | − | 16.3434i | −0.0605435 | − | 0.611635i | ||||
\(715\) | −22.7414 | + | 63.0975i | −0.850482 | + | 2.35971i | ||||
\(716\) | −13.6691 | + | 2.41022i | −0.510837 | + | 0.0900743i | ||||
\(717\) | −21.3187 | − | 24.8264i | −0.796163 | − | 0.927160i | ||||
\(718\) | 0.101978 | − | 1.16562i | 0.00380580 | − | 0.0435005i | ||||
\(719\) | 0.826424 | − | 4.68688i | 0.0308204 | − | 0.174791i | −0.965512 | − | 0.260359i | \(-0.916159\pi\) |
0.996332 | + | 0.0855674i | \(0.0272703\pi\) | |||||||
\(720\) | 6.69559 | + | 0.411151i | 0.249530 | + | 0.0153227i | ||||
\(721\) | −14.6848 | −0.546891 | ||||||||
\(722\) | −10.1205 | + | 16.0803i | −0.376648 | + | 0.598445i | ||||
\(723\) | 20.7689 | + | 3.41851i | 0.772405 | + | 0.127136i | ||||
\(724\) | −8.10689 | − | 22.2735i | −0.301290 | − | 0.827788i | ||||
\(725\) | 6.03001 | − | 16.8968i | 0.223949 | − | 0.627531i | ||||
\(726\) | 6.76289 | − | 26.4414i | 0.250995 | − | 0.981332i | ||||
\(727\) | 3.64133 | + | 41.6206i | 0.135049 | + | 1.54362i | 0.697376 | + | 0.716706i | \(0.254351\pi\) |
−0.562326 | + | 0.826915i | \(0.690094\pi\) | |||||||
\(728\) | 7.69890 | − | 10.9952i | 0.285340 | − | 0.407508i | ||||
\(729\) | 11.8705 | − | 24.2506i | 0.439650 | − | 0.898169i | ||||
\(730\) | −17.7680 | − | 12.3583i | −0.657624 | − | 0.457402i | ||||
\(731\) | −15.2086 | + | 41.7854i | −0.562512 | + | 1.54549i | ||||
\(732\) | −5.44053 | + | 9.67634i | −0.201088 | + | 0.357648i | ||||
\(733\) | 7.45878 | + | 27.8366i | 0.275496 | + | 1.02817i | 0.955508 | + | 0.294965i | \(0.0953081\pi\) |
−0.680011 | + | 0.733201i | \(0.738025\pi\) | |||||||
\(734\) | 11.8313 | + | 20.4923i | 0.436700 | + | 0.756386i | ||||
\(735\) | −6.34163 | − | 0.462026i | −0.233915 | − | 0.0170421i | ||||
\(736\) | −2.22493 | − | 1.86694i | −0.0820120 | − | 0.0688162i | ||||
\(737\) | −5.47789 | + | 62.6125i | −0.201781 | + | 2.30636i | ||||
\(738\) | −16.3875 | + | 4.79394i | −0.603231 | + | 0.176467i | ||||
\(739\) | 11.4877 | + | 31.5622i | 0.422582 | + | 1.16103i | 0.950224 | + | 0.311567i | \(0.100854\pi\) |
−0.527642 | + | 0.849467i | \(0.676924\pi\) | |||||||
\(740\) | −10.5487 | + | 8.90798i | −0.387777 | + | 0.327464i | ||||
\(741\) | 37.1020 | − | 23.2383i | 1.36297 | − | 0.853680i | ||||
\(742\) | −11.5477 | − | 11.5477i | −0.423930 | − | 0.423930i | ||||
\(743\) | −5.50639 | − | 2.56767i | −0.202010 | − | 0.0941987i | 0.318981 | − | 0.947761i | \(-0.396659\pi\) |
−0.520990 | + | 0.853563i | \(0.674437\pi\) | |||||||
\(744\) | 6.46340 | − | 3.10411i | 0.236960 | − | 0.113802i | ||||
\(745\) | 7.37250 | − | 5.19686i | 0.270108 | − | 0.190398i | ||||
\(746\) | 16.8252 | − | 20.0515i | 0.616013 | − | 0.734136i | ||||
\(747\) | −41.6902 | + | 30.6314i | −1.52536 | + | 1.12074i | ||||
\(748\) | 20.4669 | + | 5.48409i | 0.748344 | + | 0.200518i | ||||
\(749\) | 21.6891 | − | 37.5666i | 0.792502 | − | 1.37265i | ||||
\(750\) | 19.3607 | − | 0.403147i | 0.706954 | − | 0.0147209i | ||||
\(751\) | −14.0849 | − | 5.12648i | −0.513965 | − | 0.187068i | 0.0719996 | − | 0.997405i | \(-0.477062\pi\) |
−0.585964 | + | 0.810337i | \(0.699284\pi\) | |||||||
\(752\) | 0.142655 | + | 0.532397i | 0.00520210 | + | 0.0194145i | ||||
\(753\) | −18.1083 | + | 6.82562i | −0.659904 | + | 0.248739i | ||||
\(754\) | 20.4900 | − | 3.61294i | 0.746202 | − | 0.131575i | ||||
\(755\) | 8.25005 | + | 8.19839i | 0.300250 | + | 0.298370i | ||||
\(756\) | −6.55810 | + | 10.0829i | −0.238516 | + | 0.366711i | ||||
\(757\) | 9.45559 | − | 6.62087i | 0.343669 | − | 0.240640i | −0.388980 | − | 0.921246i | \(-0.627172\pi\) |
0.732649 | + | 0.680606i | \(0.238284\pi\) | |||||||
\(758\) | −15.2865 | − | 7.12821i | −0.555230 | − | 0.258908i | ||||
\(759\) | −21.1447 | + | 15.1677i | −0.767503 | + | 0.550554i | ||||
\(760\) | −8.13590 | − | 5.36723i | −0.295120 | − | 0.194690i | ||||
\(761\) | 46.5945i | 1.68905i | 0.535518 | + | 0.844524i | \(0.320116\pi\) | ||||
−0.535518 | + | 0.844524i | \(0.679884\pi\) | |||||||
\(762\) | −10.6516 | + | 2.00362i | −0.385868 | + | 0.0725834i | ||||
\(763\) | −4.66601 | − | 6.66375i | −0.168921 | − | 0.241244i | ||||
\(764\) | −4.51865 | + | 3.79160i | −0.163479 | + | 0.137175i | ||||
\(765\) | 26.0564 | + | 8.72537i | 0.942070 | + | 0.315467i | ||||
\(766\) | −0.0365976 | − | 0.207555i | −0.00132233 | − | 0.00749928i | ||||
\(767\) | −19.7056 | − | 5.28011i | −0.711530 | − | 0.190654i | ||||
\(768\) | 1.09815 | − | 1.33943i | 0.0396259 | − | 0.0483326i | ||||
\(769\) | −0.628159 | + | 1.72585i | −0.0226520 | + | 0.0622359i | −0.950503 | − | 0.310715i | \(-0.899432\pi\) |
0.927851 | + | 0.372950i | \(0.121654\pi\) | |||||||
\(770\) | −11.2391 | + | 24.3012i | −0.405027 | + | 0.875754i | ||||
\(771\) | 0.112334 | + | 1.13484i | 0.00404559 | + | 0.0408703i | ||||
\(772\) | −1.33155 | + | 4.96940i | −0.0479234 | + | 0.178853i | ||||
\(773\) | 24.1390 | − | 34.4741i | 0.868221 | − | 1.23995i | −0.101279 | − | 0.994858i | \(-0.532294\pi\) |
0.969500 | − | 0.245090i | \(-0.0788176\pi\) | |||||||
\(774\) | 27.8251 | − | 16.9220i | 1.00015 | − | 0.608249i | ||||
\(775\) | 17.8600 | − | 10.4616i | 0.641551 | − | 0.375792i | ||||
\(776\) | −8.08604 | − | 1.42579i | −0.290272 | − | 0.0511828i | ||||
\(777\) | −4.57642 | − | 24.3292i | −0.164178 | − | 0.872807i | ||||
\(778\) | −4.66871 | + | 4.66871i | −0.167382 | + | 0.167382i | ||||
\(779\) | 24.1135 | + | 5.83041i | 0.863955 | + | 0.208896i | ||||
\(780\) | 11.5106 | + | 19.2839i | 0.412144 | + | 0.690474i | ||||
\(781\) | −34.9882 | + | 12.7347i | −1.25198 | + | 0.455682i | ||||
\(782\) | −6.82402 | − | 9.74571i | −0.244026 | − | 0.348506i | ||||
\(783\) | −18.2397 | + | 3.86340i | −0.651833 | + | 0.138067i | ||||
\(784\) | −1.05529 | + | 1.25765i | −0.0376890 | + | 0.0449160i | ||||
\(785\) | 2.82799 | − | 3.39184i | 0.100935 | − | 0.121060i | ||||
\(786\) | −14.0515 | + | 31.0527i | −0.501200 | + | 1.10761i | ||||
\(787\) | −50.5264 | + | 13.5385i | −1.80107 | + | 0.482596i | −0.994145 | − | 0.108054i | \(-0.965538\pi\) |
−0.806928 | + | 0.590650i | \(0.798871\pi\) | |||||||
\(788\) | −5.99832 | − | 12.8634i | −0.213681 | − | 0.458241i | ||||
\(789\) | 10.4507 | + | 37.2967i | 0.372054 | + | 1.32780i | ||||
\(790\) | −1.89634 | + | 0.340520i | −0.0674687 | + | 0.0121151i | ||||
\(791\) | 15.5987 | − | 9.00589i | 0.554624 | − | 0.320213i | ||||
\(792\) | −9.18836 | − | 12.5056i | −0.326494 | − | 0.444368i | ||||
\(793\) | −37.0228 | + | 3.23907i | −1.31472 | + | 0.115023i | ||||
\(794\) | −18.3882 | + | 15.4295i | −0.652573 | + | 0.547573i | ||||
\(795\) | 25.5376 | − | 9.71768i | 0.905727 | − | 0.344651i | ||||
\(796\) | −21.2741 | + | 7.74313i | −0.754040 | + | 0.274448i | ||||
\(797\) | −10.0388 | + | 10.0388i | −0.355592 | + | 0.355592i | −0.862185 | − | 0.506593i | \(-0.830905\pi\) |
0.506593 | + | 0.862185i | \(0.330905\pi\) | |||||||
\(798\) | 15.5631 | − | 7.95048i | 0.550928 | − | 0.281444i | ||||
\(799\) | 2.25776i | 0.0798738i | ||||||||
\(800\) | 2.84210 | − | 4.11369i | 0.100483 | − | 0.145441i | ||||
\(801\) | −10.0116 | + | 18.2912i | −0.353742 | + | 0.646287i | ||||
\(802\) | 31.1204 | + | 2.72268i | 1.09890 | + | 0.0961411i | ||||
\(803\) | 4.36370 | + | 49.8774i | 0.153992 | + | 1.76013i | ||||
\(804\) | 15.0500 | + | 14.7107i | 0.530771 | + | 0.518807i | ||||
\(805\) | 13.6049 | − | 6.39618i | 0.479511 | − | 0.225436i | ||||
\(806\) | 20.7885 | + | 12.0023i | 0.732244 | + | 0.422761i | ||||
\(807\) | 28.2042 | + | 15.8578i | 0.992835 | + | 0.558223i | ||||
\(808\) | 2.78095 | − | 1.29678i | 0.0978333 | − | 0.0456204i | ||||
\(809\) | −15.7178 | + | 27.2240i | −0.552608 | + | 0.957145i | 0.445477 | + | 0.895293i | \(0.353034\pi\) |
−0.998085 | + | 0.0618519i | \(0.980299\pi\) | |||||||
\(810\) | −10.8994 | − | 16.9176i | −0.382965 | − | 0.594422i | ||||
\(811\) | −1.88407 | − | 10.6851i | −0.0661585 | − | 0.375203i | −0.999853 | − | 0.0171334i | \(-0.994546\pi\) |
0.933695 | − | 0.358070i | \(-0.116565\pi\) | |||||||
\(812\) | 8.27411 | − | 0.723891i | 0.290364 | − | 0.0254036i | ||||
\(813\) | 29.0758 | − | 17.2318i | 1.01973 | − | 0.604345i | ||||
\(814\) | 31.4543 | + | 5.54624i | 1.10247 | + | 0.194396i | ||||
\(815\) | 13.8042 | − | 24.0839i | 0.483539 | − | 0.843622i | ||||
\(816\) | 5.76505 | − | 4.13545i | 0.201817 | − | 0.144770i | ||||
\(817\) | −47.3040 | + | 1.16213i | −1.65496 | + | 0.0406576i | ||||
\(818\) | 4.70471 | + | 4.70471i | 0.164496 | + | 0.164496i | ||||
\(819\) | −40.2574 | + | 0.917894i | −1.40671 | + | 0.0320738i | ||||
\(820\) | −3.25522 | + | 12.3031i | −0.113677 | + | 0.429641i | ||||
\(821\) | −14.2485 | − | 16.9807i | −0.497276 | − | 0.592631i | 0.457776 | − | 0.889067i | \(-0.348646\pi\) |
−0.955053 | + | 0.296437i | \(0.904202\pi\) | |||||||
\(822\) | −4.27943 | + | 3.67480i | −0.149262 | + | 0.128173i | ||||
\(823\) | 9.41142 | + | 6.58995i | 0.328061 | + | 0.229711i | 0.725990 | − | 0.687705i | \(-0.241382\pi\) |
−0.397928 | + | 0.917416i | \(0.630271\pi\) | |||||||
\(824\) | −3.17195 | − | 5.49399i | −0.110500 | − | 0.191392i | ||||
\(825\) | −29.3974 | − | 33.8023i | −1.02348 | − | 1.17685i | ||||
\(826\) | −7.65278 | − | 2.78538i | −0.266274 | − | 0.0969159i | ||||
\(827\) | −6.04486 | + | 2.81876i | −0.210200 | + | 0.0980180i | −0.524867 | − | 0.851184i | \(-0.675885\pi\) |
0.314667 | + | 0.949202i | \(0.398107\pi\) | |||||||
\(828\) | −0.561357 | + | 8.69522i | −0.0195085 | + | 0.302180i | ||||
\(829\) | 49.5743 | − | 28.6218i | 1.72179 | − | 0.994075i | 0.806545 | − | 0.591173i | \(-0.201335\pi\) |
0.915243 | − | 0.402901i | \(-0.131998\pi\) | |||||||
\(830\) | 3.48133 | + | 38.4024i | 0.120839 | + | 1.33297i | ||||
\(831\) | 2.62449 | − | 34.5264i | 0.0910425 | − | 1.19771i | ||||
\(832\) | 5.77656 | + | 0.505384i | 0.200266 | + | 0.0175210i | ||||
\(833\) | −5.50878 | + | 3.85729i | −0.190868 | + | 0.133647i | ||||
\(834\) | −0.748923 | − | 0.511780i | −0.0259331 | − | 0.0177215i | ||||
\(835\) | −0.124372 | + | 0.105028i | −0.00430407 | + | 0.00363464i | ||||
\(836\) | 2.51621 | + | 22.4067i | 0.0870248 | + | 0.774951i | ||||
\(837\) | −18.9854 | − | 10.1121i | −0.656232 | − | 0.349524i | ||||
\(838\) | 9.84161 | − | 21.1054i | 0.339973 | − | 0.729074i | ||||
\(839\) | −2.06023 | + | 11.6841i | −0.0711270 | + | 0.403381i | 0.928370 | + | 0.371658i | \(0.121211\pi\) |
−0.999497 | + | 0.0317233i | \(0.989900\pi\) | |||||||
\(840\) | 3.90656 | + | 8.06924i | 0.134789 | + | 0.278415i | ||||
\(841\) | −12.3529 | − | 10.3653i | −0.425960 | − | 0.357423i | ||||
\(842\) | −4.86535 | − | 3.40675i | −0.167671 | − | 0.117404i | ||||
\(843\) | 12.4555 | − | 4.69491i | 0.428992 | − | 0.161701i | ||||
\(844\) | 0.961679 | + | 0.555226i | 0.0331023 | + | 0.0191117i | ||||
\(845\) | −19.3585 | + | 41.8571i | −0.665952 | + | 1.43993i | ||||
\(846\) | 1.03372 | − | 1.29058i | 0.0355400 | − | 0.0443710i | ||||
\(847\) | 35.2322 | − | 9.44043i | 1.21059 | − | 0.324377i | ||||
\(848\) | 1.82598 | − | 6.81465i | 0.0627044 | − | 0.234016i | ||||
\(849\) | −19.6277 | − | 19.1853i | −0.673621 | − | 0.658437i | ||||
\(850\) | 15.6065 | − | 13.2634i | 0.535300 | − | 0.454930i | ||||
\(851\) | −11.5275 | − | 13.7380i | −0.395159 | − | 0.470932i | ||||
\(852\) | −4.13028 | + | 11.7633i | −0.141501 | + | 0.403005i | ||||
\(853\) | 6.43800 | − | 13.8063i | 0.220433 | − | 0.472720i | −0.764728 | − | 0.644353i | \(-0.777127\pi\) |
0.985161 | + | 0.171633i | \(0.0549044\pi\) | |||||||
\(854\) | −14.8358 | −0.507671 | ||||||||
\(855\) | 1.47600 | + | 29.2031i | 0.0504780 | + | 0.998725i | ||||
\(856\) | 18.7396 | 0.640505 | ||||||||
\(857\) | −13.6220 | + | 29.2125i | −0.465320 | + | 0.997881i | 0.523946 | + | 0.851752i | \(0.324459\pi\) |
−0.989265 | + | 0.146130i | \(0.953318\pi\) | |||||||
\(858\) | 17.2112 | − | 49.0189i | 0.587582 | − | 1.67348i | ||||
\(859\) | −4.27250 | − | 5.09177i | −0.145776 | − | 0.173729i | 0.688216 | − | 0.725506i | \(-0.258394\pi\) |
−0.833992 | + | 0.551777i | \(0.813950\pi\) | |||||||
\(860\) | −0.0762325 | − | 24.2737i | −0.00259951 | − | 0.827725i | ||||
\(861\) | −16.3182 | − | 15.9504i | −0.556123 | − | 0.543588i | ||||
\(862\) | −0.250323 | + | 0.934219i | −0.00852604 | + | 0.0318196i | ||||
\(863\) | −27.9611 | + | 7.49216i | −0.951807 | + | 0.255036i | −0.701129 | − | 0.713034i | \(-0.747320\pi\) |
−0.250678 | + | 0.968070i | \(0.580654\pi\) | |||||||
\(864\) | −5.18884 | − | 0.275638i | −0.176528 | − | 0.00937739i | ||||
\(865\) | −9.87823 | − | 26.8773i | −0.335870 | − | 0.913855i | ||||
\(866\) | −8.90062 | − | 5.13877i | −0.302455 | − | 0.174623i | ||||
\(867\) | −0.357761 | + | 0.134852i | −0.0121502 | + | 0.00457981i | ||||
\(868\) | 7.84954 | + | 5.49630i | 0.266431 | + | 0.186557i | ||||
\(869\) | 3.41427 | + | 2.86491i | 0.115821 | + | 0.0971854i | ||||
\(870\) | −4.56259 | + | 13.1263i | −0.154686 | + | 0.445024i | ||||
\(871\) | −12.2346 | + | 69.3860i | −0.414555 | + | 2.35106i | ||||
\(872\) | 1.48522 | − | 3.18506i | 0.0502959 | − | 0.107860i | ||||
\(873\) | 10.9162 | + | 22.0814i | 0.369459 | + | 0.747341i | ||||
\(874\) | 7.00468 | − | 10.5458i | 0.236937 | − | 0.356717i | ||||
\(875\) | 13.1507 | + | 22.2900i | 0.444574 | + | 0.753538i | ||||
\(876\) | 13.8416 | + | 9.45873i | 0.467665 | + | 0.319581i | ||||
\(877\) | −30.6792 | + | 21.4818i | −1.03596 | + | 0.725389i | −0.962326 | − | 0.271897i | \(-0.912349\pi\) |
−0.0736359 | + | 0.997285i | \(0.523460\pi\) | |||||||
\(878\) | 33.8117 | + | 2.95814i | 1.14109 | + | 0.0998323i | ||||
\(879\) | 0.341273 | − | 4.48960i | 0.0115108 | − | 0.151431i | ||||
\(880\) | −11.5194 | + | 1.04428i | −0.388319 | + | 0.0352027i | ||||
\(881\) | −16.5520 | + | 9.55631i | −0.557651 | + | 0.321960i | −0.752202 | − | 0.658932i | \(-0.771008\pi\) |
0.194551 | + | 0.980892i | \(0.437675\pi\) | |||||||
\(882\) | 4.91499 | + | 0.317308i | 0.165496 | + | 0.0106843i | ||||
\(883\) | −14.7989 | + | 6.90086i | −0.498024 | + | 0.232232i | −0.655366 | − | 0.755312i | \(-0.727485\pi\) |
0.157341 | + | 0.987544i | \(0.449708\pi\) | |||||||
\(884\) | 22.3202 | + | 8.12388i | 0.750709 | + | 0.273236i | ||||
\(885\) | 9.49392 | − | 9.77407i | 0.319135 | − | 0.328552i | ||||
\(886\) | 14.2860 | + | 24.7440i | 0.479947 | + | 0.831292i | ||||
\(887\) | 33.5344 | + | 23.4810i | 1.12597 | + | 0.788415i | 0.979629 | − | 0.200818i | \(-0.0643600\pi\) |
0.146345 | + | 0.989234i | \(0.453249\pi\) | |||||||
\(888\) | 8.11370 | − | 6.96733i | 0.272278 | − | 0.233808i | ||||
\(889\) | −9.31078 | − | 11.0962i | −0.312274 | − | 0.372153i | ||||
\(890\) | 7.81325 | + | 13.4353i | 0.261901 | + | 0.450353i | ||||
\(891\) | −13.9122 | + | 44.4274i | −0.466077 | + | 1.48838i | ||||
\(892\) | 14.7493 | + | 14.7493i | 0.493842 | + | 0.493842i | ||||
\(893\) | −2.23678 | + | 0.876912i | −0.0748508 | + | 0.0293447i | ||||
\(894\) | −5.67728 | + | 4.07249i | −0.189877 | + | 0.136205i | ||||
\(895\) | 29.9536 | − | 8.12694i | 1.00124 | − | 0.271654i | ||||
\(896\) | 2.27962 | + | 0.401959i | 0.0761569 | + | 0.0134285i | ||||
\(897\) | −25.0948 | + | 14.8724i | −0.837890 | + | 0.496575i | ||||
\(898\) | −13.8976 | + | 1.21589i | −0.463770 | + | 0.0405746i | ||||
\(899\) | 2.57931 | + | 14.6280i | 0.0860247 | + | 0.487870i | ||||
\(900\) | −14.9937 | + | 0.436105i | −0.499789 | + | 0.0145368i | ||||
\(901\) | 14.4496 | − | 25.0275i | 0.481386 | − | 0.833786i | ||||
\(902\) | 26.6820 | − | 12.4420i | 0.888413 | − | 0.414274i | ||||
\(903\) | 37.9381 | + | 21.3308i | 1.26250 | + | 0.709843i | ||||
\(904\) | 6.73869 | + | 3.89058i | 0.224125 | + | 0.129399i | ||||
\(905\) | 22.5501 | + | 47.9650i | 0.749591 | + | 1.59441i | ||||
\(906\) | −6.44268 | − | 6.29746i | −0.214044 | − | 0.209219i | ||||
\(907\) | 1.85025 | + | 21.1485i | 0.0614366 | + | 0.702224i | 0.962987 | + | 0.269549i | \(0.0868747\pi\) |
−0.901550 | + | 0.432675i | \(0.857570\pi\) | |||||||
\(908\) | −2.46773 | − | 0.215898i | −0.0818945 | − | 0.00716484i | ||||
\(909\) | −8.07487 | − | 4.41973i | −0.267827 | − | 0.146593i | ||||
\(910\) | −14.9252 | + | 26.0398i | −0.494767 | + | 0.863210i | ||||
\(911\) | − | 10.6886i | − | 0.354130i | −0.984199 | − | 0.177065i | \(-0.943340\pi\) | ||
0.984199 | − | 0.177065i | \(-0.0566603\pi\) | |||||||
\(912\) | 6.33615 | + | 4.10526i | 0.209811 | + | 0.135939i | ||||
\(913\) | 63.0749 | − | 63.0749i | 2.08748 | − | 2.08748i | ||||
\(914\) | −26.4347 | + | 9.62143i | −0.874381 | + | 0.318249i | ||||
\(915\) | 10.1623 | − | 22.6469i | 0.335954 | − | 0.748684i | ||||
\(916\) | −21.7205 | + | 18.2257i | −0.717666 | + | 0.602193i | ||||
\(917\) | −45.3780 | + | 3.97006i | −1.49851 | + | 0.131103i | ||||
\(918\) | −20.2383 | − | 6.59175i | −0.667964 | − | 0.217560i | ||||
\(919\) | 22.8819 | − | 13.2109i | 0.754803 | − | 0.435786i | −0.0726237 | − | 0.997359i | \(-0.523137\pi\) |
0.827427 | + | 0.561574i | \(0.189804\pi\) | |||||||
\(920\) | 5.33168 | + | 3.70838i | 0.175780 | + | 0.122262i | ||||
\(921\) | 10.8097 | + | 38.5781i | 0.356192 | + | 1.27119i | ||||
\(922\) | 1.95983 | + | 4.20286i | 0.0645435 | + | 0.138414i | ||||
\(923\) | −40.3165 | + | 10.8028i | −1.32703 | + | 0.355578i | ||||
\(924\) | 8.55000 | − | 18.8949i | 0.281274 | − | 0.621596i | ||||
\(925\) | 21.6928 | − | 21.9671i | 0.713256 | − | 0.722273i | ||||
\(926\) | 5.21636 | − | 6.21662i | 0.171420 | − | 0.204291i | ||||
\(927\) | −7.64789 | + | 17.4275i | −0.251190 | + | 0.572393i | ||||
\(928\) | 2.05805 | + | 2.93920i | 0.0675589 | + | 0.0964841i | ||||
\(929\) | 12.7373 | − | 4.63601i | 0.417899 | − | 0.152103i | −0.124508 | − | 0.992219i | \(-0.539735\pi\) |
0.542407 | + | 0.840116i | \(0.317513\pi\) | |||||||
\(930\) | −13.7669 | + | 8.21749i | −0.451435 | + | 0.269462i | ||||
\(931\) | −5.96104 | − | 3.95941i | −0.195365 | − | 0.129764i | ||||
\(932\) | 13.8951 | − | 13.8951i | 0.455148 | − | 0.455148i | ||||
\(933\) | 7.54982 | + | 40.1365i | 0.247170 | + | 1.31401i | ||||
\(934\) | 0.712185 | + | 0.125577i | 0.0233034 | + | 0.00410902i | ||||
\(935\) | −46.6856 | − | 8.08084i | −1.52678 | − | 0.264272i | ||||
\(936\) | −9.03909 | − | 14.8631i | −0.295452 | − | 0.485816i | ||||
\(937\) | −7.88614 | + | 11.2626i | −0.257629 | + | 0.367932i | −0.927042 | − | 0.374959i | \(-0.877657\pi\) |
0.669413 | + | 0.742891i | \(0.266546\pi\) | |||||||
\(938\) | −7.27953 | + | 27.1676i | −0.237685 | + | 0.887053i | ||||
\(939\) | −2.63089 | − | 26.5783i | −0.0858558 | − | 0.867351i | ||||
\(940\) | −0.425165 | − | 1.15681i | −0.0138673 | − | 0.0377311i | ||||
\(941\) | 1.51330 | − | 4.15775i | 0.0493321 | − | 0.135539i | −0.912580 | − | 0.408899i | \(-0.865913\pi\) |
0.961912 | + | 0.273360i | \(0.0881351\pi\) | |||||||
\(942\) | −2.16878 | + | 2.64531i | −0.0706627 | + | 0.0861888i | ||||
\(943\) | −15.9671 | − | 4.27838i | −0.519961 | − | 0.139323i | ||||
\(944\) | −0.610931 | − | 3.46476i | −0.0198841 | − | 0.112768i | ||||
\(945\) | 12.5689 | − | 23.7779i | 0.408867 | − | 0.773494i | ||||
\(946\) | −43.0158 | + | 36.0945i | −1.39856 | + | 1.17353i | ||||
\(947\) | −24.1527 | − | 34.4936i | −0.784856 | − | 1.12089i | −0.989848 | − | 0.142127i | \(-0.954606\pi\) |
0.204992 | − | 0.978764i | \(-0.434283\pi\) | |||||||
\(948\) | 1.46667 | − | 0.275886i | 0.0476352 | − | 0.00896036i | ||||
\(949\) | 56.1258i | 1.82192i | ||||||||
\(950\) | 19.2017 | + | 10.3100i | 0.622984 | + | 0.334501i | ||||
\(951\) | −27.0992 | + | 19.4391i | −0.878752 | + | 0.630357i | ||||
\(952\) | 8.59358 | + | 4.00725i | 0.278519 | + | 0.129876i | ||||
\(953\) | 18.5246 | − | 12.9711i | 0.600072 | − | 0.420175i | −0.233681 | − | 0.972313i | \(-0.575077\pi\) |
0.833752 | + | 0.552139i | \(0.186188\pi\) | |||||||
\(954\) | −19.7185 | + | 7.69038i | −0.638411 | + | 0.248985i | ||||
\(955\) | 9.29730 | − | 9.35588i | 0.300853 | − | 0.302749i | ||||
\(956\) | 18.6060 | − | 3.28074i | 0.601761 | − | 0.106107i | ||||
\(957\) | 30.0815 | − | 11.3387i | 0.972397 | − | 0.366528i | ||||
\(958\) | −1.53662 | − | 5.73475i | −0.0496460 | − | 0.185281i | ||||
\(959\) | −7.08388 | − | 2.57832i | −0.228751 | − | 0.0832584i | ||||
\(960\) | −2.17509 | + | 3.20452i | −0.0702008 | + | 0.103426i | ||||
\(961\) | 6.93149 | − | 12.0057i | 0.223596 | − | 0.387280i | ||||
\(962\) | 34.5840 | + | 9.26676i | 1.11503 | + | 0.298772i | ||||
\(963\) | −33.2871 | − | 45.3046i | −1.07266 | − | 1.45992i | ||||
\(964\) | −7.81135 | + | 9.30920i | −0.251587 | + | 0.299829i | ||||
\(965\) | 1.96204 | − | 11.3353i | 0.0631604 | − | 0.364898i | ||||
\(966\) | −10.4971 | + | 5.04131i | −0.337737 | + | 0.162202i | ||||
\(967\) | 6.70812 | + | 3.12805i | 0.215718 | + | 0.100591i | 0.527474 | − | 0.849571i | \(-0.323139\pi\) |
−0.311756 | + | 0.950162i | \(0.600917\pi\) | |||||||
\(968\) | 11.1421 | + | 11.1421i | 0.358122 | + | 0.358122i | ||||
\(969\) | 20.7177 | + | 22.9607i | 0.665550 | + | 0.737603i | ||||
\(970\) | 18.2949 | + | 1.54272i | 0.587415 | + | 0.0495337i | ||||
\(971\) | −5.07557 | − | 13.9450i | −0.162883 | − | 0.447517i | 0.831222 | − | 0.555941i | \(-0.187642\pi\) |
−0.994105 | + | 0.108424i | \(0.965420\pi\) | |||||||
\(972\) | 8.55055 | + | 13.0341i | 0.274259 | + | 0.418069i | ||||
\(973\) | 0.105656 | − | 1.20766i | 0.00338718 | − | 0.0387157i | ||||
\(974\) | −18.3047 | − | 15.3595i | −0.586522 | − | 0.492150i | ||||
\(975\) | −29.5263 | − | 40.6202i | −0.945600 | − | 1.30089i | ||||
\(976\) | −3.20457 | − | 5.55047i | −0.102576 | − | 0.177666i | ||||
\(977\) | 5.34644 | + | 19.9532i | 0.171048 | + | 0.638359i | 0.997191 | + | 0.0748992i | \(0.0238635\pi\) |
−0.826143 | + | 0.563460i | \(0.809470\pi\) | |||||||
\(978\) | −10.5383 | + | 18.7430i | −0.336976 | + | 0.599334i | ||||
\(979\) | 12.2969 | − | 33.7855i | 0.393011 | − | 1.07979i | ||||
\(980\) | 2.09617 | − | 3.01374i | 0.0669597 | − | 0.0962705i | ||||
\(981\) | −10.3384 | + | 2.06697i | −0.330079 | + | 0.0659932i | ||||
\(982\) | 8.22921 | − | 11.7525i | 0.262605 | − | 0.375038i | ||||
\(983\) | 2.99230 | + | 34.2022i | 0.0954396 | + | 1.09088i | 0.881326 | + | 0.472509i | \(0.156652\pi\) |
−0.785886 | + | 0.618371i | \(0.787793\pi\) | |||||||
\(984\) | 2.44270 | − | 9.55040i | 0.0778704 | − | 0.304456i | ||||
\(985\) | 15.9548 | + | 27.4351i | 0.508361 | + | 0.874155i | ||||
\(986\) | 5.02693 | + | 13.8114i | 0.160090 | + | 0.439844i | ||||
\(987\) | 2.18052 | + | 0.358907i | 0.0694066 | + | 0.0114241i | ||||
\(988\) | 0.620764 | + | 25.2680i | 0.0197491 | + | 0.803883i | ||||
\(989\) | 31.5293 | 1.00257 | ||||||||
\(990\) | 22.9865 | + | 25.9943i | 0.730560 | + | 0.826152i | ||||
\(991\) | −7.73658 | + | 43.8763i | −0.245761 | + | 1.39378i | 0.572959 | + | 0.819584i | \(0.305795\pi\) |
−0.818720 | + | 0.574194i | \(0.805316\pi\) | |||||||
\(992\) | −0.360798 | + | 4.12394i | −0.0114553 | + | 0.130935i | ||||
\(993\) | −21.4485 | − | 24.9775i | −0.680647 | − | 0.792637i | ||||
\(994\) | −16.4088 | + | 2.89332i | −0.520456 | + | 0.0917705i | ||||
\(995\) | 45.8128 | − | 21.5383i | 1.45236 | − | 0.682810i | ||||
\(996\) | −2.94217 | − | 29.7231i | −0.0932263 | − | 0.941811i | ||||
\(997\) | −12.2661 | − | 26.3048i | −0.388472 | − | 0.833082i | −0.999151 | − | 0.0412031i | \(-0.986881\pi\) |
0.610678 | − | 0.791879i | \(-0.290897\pi\) | |||||||
\(998\) | 1.64459 | + | 3.52684i | 0.0520587 | + | 0.111640i | ||||
\(999\) | −31.2565 | − | 7.23957i | −0.988913 | − | 0.229050i |
(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 | 570.2.bi.a.347.9 | yes | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.347.40 | yes | 480 | |
5.3 | odd | 4 | inner | 570.2.bi.a.233.22 | yes | 480 | |
15.8 | even | 4 | inner | 570.2.bi.a.233.10 | yes | 480 | |
19.4 | even | 9 | inner | 570.2.bi.a.137.10 | yes | 480 | |
57.23 | odd | 18 | inner | 570.2.bi.a.137.22 | yes | 480 | |
95.23 | odd | 36 | inner | 570.2.bi.a.23.40 | yes | 480 | |
285.23 | even | 36 | inner | 570.2.bi.a.23.9 | ✓ | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.23.9 | ✓ | 480 | 285.23 | even | 36 | inner | |
570.2.bi.a.23.40 | yes | 480 | 95.23 | odd | 36 | inner | |
570.2.bi.a.137.10 | yes | 480 | 19.4 | even | 9 | inner | |
570.2.bi.a.137.22 | yes | 480 | 57.23 | odd | 18 | inner | |
570.2.bi.a.233.10 | yes | 480 | 15.8 | even | 4 | inner | |
570.2.bi.a.233.22 | yes | 480 | 5.3 | odd | 4 | inner | |
570.2.bi.a.347.9 | yes | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.347.40 | yes | 480 | 3.2 | odd | 2 | inner |