Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(19,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.ba (of order \(6\), degree \(2\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 59.39 | ||
Character | \(\chi\) | \(=\) | 280.59 |
Dual form | 280.2.ba.b.19.39 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.39533 | + | 0.230335i | 0.986647 | + | 0.162871i | ||||
\(3\) | 0.929162 | − | 1.60936i | 0.536452 | − | 0.929162i | −0.462640 | − | 0.886546i | \(-0.653098\pi\) |
0.999092 | − | 0.0426153i | \(-0.0135690\pi\) | |||||||
\(4\) | 1.89389 | + | 0.642786i | 0.946946 | + | 0.321393i | ||||
\(5\) | −0.698124 | + | 2.12429i | −0.312211 | + | 0.950013i | ||||
\(6\) | 1.66718 | − | 2.03156i | 0.680622 | − | 0.829382i | ||||
\(7\) | −1.10610 | − | 2.40345i | −0.418066 | − | 0.908417i | ||||
\(8\) | 2.49455 | + | 1.33313i | 0.881956 | + | 0.471331i | ||||
\(9\) | −0.226682 | − | 0.392626i | −0.0755608 | − | 0.130875i | ||||
\(10\) | −1.46341 | + | 2.80329i | −0.462772 | + | 0.886478i | ||||
\(11\) | 1.61069 | − | 2.78980i | 0.485642 | − | 0.841157i | −0.514222 | − | 0.857657i | \(-0.671919\pi\) |
0.999864 | + | 0.0165005i | \(0.00525252\pi\) | |||||||
\(12\) | 2.79420 | − | 2.45069i | 0.806617 | − | 0.707454i | ||||
\(13\) | 0.668981i | 0.185542i | 0.995687 | + | 0.0927710i | \(0.0295724\pi\) | ||||
−0.995687 | + | 0.0927710i | \(0.970428\pi\) | |||||||
\(14\) | −0.989775 | − | 3.60837i | −0.264528 | − | 0.964378i | ||||
\(15\) | 2.77007 | + | 3.09734i | 0.715230 | + | 0.799730i | ||||
\(16\) | 3.17365 | + | 2.43473i | 0.793413 | + | 0.608683i | ||||
\(17\) | −1.62295 | + | 2.81103i | −0.393624 | + | 0.681776i | −0.992924 | − | 0.118748i | \(-0.962112\pi\) |
0.599301 | + | 0.800524i | \(0.295445\pi\) | |||||||
\(18\) | −0.225862 | − | 0.600055i | −0.0532361 | − | 0.141434i | ||||
\(19\) | −5.77054 | + | 3.33162i | −1.32385 | + | 0.764326i | −0.984341 | − | 0.176276i | \(-0.943595\pi\) |
−0.339511 | + | 0.940602i | \(0.610262\pi\) | |||||||
\(20\) | −2.68764 | + | 3.57444i | −0.600974 | + | 0.799269i | ||||
\(21\) | −4.89574 | − | 0.453085i | −1.06834 | − | 0.0988712i | ||||
\(22\) | 2.89004 | − | 3.52170i | 0.616158 | − | 0.750828i | ||||
\(23\) | −4.41240 | − | 7.64251i | −0.920050 | − | 1.59357i | −0.799335 | − | 0.600886i | \(-0.794815\pi\) |
−0.120715 | − | 0.992687i | \(-0.538519\pi\) | |||||||
\(24\) | 4.46331 | − | 2.77592i | 0.911070 | − | 0.566633i | ||||
\(25\) | −4.02524 | − | 2.96604i | −0.805049 | − | 0.593208i | ||||
\(26\) | −0.154089 | + | 0.933449i | −0.0302194 | + | 0.183064i | ||||
\(27\) | 4.73247 | 0.910764 | ||||||||
\(28\) | −0.549930 | − | 5.26285i | −0.103927 | − | 0.994585i | ||||
\(29\) | 3.17360i | 0.589322i | 0.955602 | + | 0.294661i | \(0.0952068\pi\) | ||||
−0.955602 | + | 0.294661i | \(0.904793\pi\) | |||||||
\(30\) | 3.15174 | + | 4.95986i | 0.575426 | + | 0.905542i | ||||
\(31\) | −2.58684 | + | 4.48053i | −0.464609 | + | 0.804727i | −0.999184 | − | 0.0403943i | \(-0.987139\pi\) |
0.534574 | + | 0.845121i | \(0.320472\pi\) | |||||||
\(32\) | 3.86749 | + | 4.12826i | 0.683682 | + | 0.729780i | ||||
\(33\) | −2.99319 | − | 5.18435i | −0.521047 | − | 0.902480i | ||||
\(34\) | −2.91203 | + | 3.54850i | −0.499409 | + | 0.608562i | ||||
\(35\) | 5.87782 | − | 0.671772i | 0.993532 | − | 0.113550i | ||||
\(36\) | −0.176938 | − | 0.889299i | −0.0294897 | − | 0.148216i | ||||
\(37\) | 1.15890 | + | 2.00727i | 0.190522 | + | 0.329994i | 0.945423 | − | 0.325845i | \(-0.105649\pi\) |
−0.754901 | + | 0.655838i | \(0.772315\pi\) | |||||||
\(38\) | −8.81919 | + | 3.31956i | −1.43066 | + | 0.538503i | ||||
\(39\) | 1.07663 | + | 0.621591i | 0.172398 | + | 0.0995343i | ||||
\(40\) | −4.57346 | + | 4.36846i | −0.723127 | + | 0.690715i | ||||
\(41\) | − | 9.34903i | − | 1.46007i | −0.683408 | − | 0.730036i | \(-0.739503\pi\) | ||
0.683408 | − | 0.730036i | \(-0.260497\pi\) | |||||||
\(42\) | −6.72681 | − | 1.75986i | −1.03797 | − | 0.271552i | ||||
\(43\) | 6.84531i | 1.04390i | 0.852976 | + | 0.521950i | \(0.174795\pi\) | ||||
−0.852976 | + | 0.521950i | \(0.825205\pi\) | |||||||
\(44\) | 4.84372 | − | 4.24825i | 0.730218 | − | 0.640448i | ||||
\(45\) | 0.992304 | − | 0.207439i | 0.147924 | − | 0.0309231i | ||||
\(46\) | −4.39643 | − | 11.6802i | −0.648218 | − | 1.72214i | ||||
\(47\) | −3.12812 | + | 1.80602i | −0.456284 | + | 0.263436i | −0.710480 | − | 0.703717i | \(-0.751522\pi\) |
0.254197 | + | 0.967153i | \(0.418189\pi\) | |||||||
\(48\) | 6.86719 | − | 2.84528i | 0.991193 | − | 0.410680i | ||||
\(49\) | −4.55310 | + | 5.31689i | −0.650442 | + | 0.759556i | ||||
\(50\) | −4.93336 | − | 5.06576i | −0.697683 | − | 0.716407i | ||||
\(51\) | 3.01597 | + | 5.22381i | 0.422320 | + | 0.731480i | ||||
\(52\) | −0.430011 | + | 1.26698i | −0.0596318 | + | 0.175698i | ||||
\(53\) | −0.0130049 | + | 0.0225252i | −0.00178637 | + | 0.00309408i | −0.866917 | − | 0.498452i | \(-0.833902\pi\) |
0.865131 | + | 0.501546i | \(0.167235\pi\) | |||||||
\(54\) | 6.60336 | + | 1.09005i | 0.898603 | + | 0.148337i | ||||
\(55\) | 4.80189 | + | 5.36921i | 0.647487 | + | 0.723984i | ||||
\(56\) | 0.444882 | − | 7.47008i | 0.0594499 | − | 0.998231i | ||||
\(57\) | 12.3825i | 1.64010i | ||||||||
\(58\) | −0.730989 | + | 4.42822i | −0.0959836 | + | 0.581453i | ||||
\(59\) | 0.0160236 | + | 0.00925120i | 0.00208609 | + | 0.00120440i | 0.501043 | − | 0.865423i | \(-0.332950\pi\) |
−0.498957 | + | 0.866627i | \(0.666283\pi\) | |||||||
\(60\) | 3.25529 | + | 7.64659i | 0.420256 | + | 0.987171i | ||||
\(61\) | 0.897835 | + | 1.55510i | 0.114956 | + | 0.199110i | 0.917762 | − | 0.397130i | \(-0.129994\pi\) |
−0.802806 | + | 0.596240i | \(0.796661\pi\) | |||||||
\(62\) | −4.64151 | + | 5.65598i | −0.589473 | + | 0.718310i | ||||
\(63\) | −0.692921 | + | 0.979101i | −0.0872998 | + | 0.123355i | ||||
\(64\) | 4.44555 | + | 6.65110i | 0.555693 | + | 0.831387i | ||||
\(65\) | −1.42111 | − | 0.467032i | −0.176267 | − | 0.0579282i | ||||
\(66\) | −2.98235 | − | 7.92332i | −0.367102 | − | 0.975293i | ||||
\(67\) | 4.14522 | + | 2.39324i | 0.506419 | + | 0.292381i | 0.731360 | − | 0.681991i | \(-0.238886\pi\) |
−0.224942 | + | 0.974372i | \(0.572219\pi\) | |||||||
\(68\) | −4.88059 | + | 4.28059i | −0.591858 | + | 0.519097i | ||||
\(69\) | −16.3993 | −1.97425 | ||||||||
\(70\) | 8.35623 | + | 0.416520i | 0.998760 | + | 0.0497837i | ||||
\(71\) | − | 8.13591i | − | 0.965555i | −0.875743 | − | 0.482778i | \(-0.839628\pi\) | ||
0.875743 | − | 0.482778i | \(-0.160372\pi\) | |||||||
\(72\) | −0.0420508 | − | 1.28162i | −0.00495574 | − | 0.151040i | ||||
\(73\) | 6.30342 | − | 10.9178i | 0.737760 | − | 1.27784i | −0.215742 | − | 0.976450i | \(-0.569217\pi\) |
0.953502 | − | 0.301387i | \(-0.0974495\pi\) | |||||||
\(74\) | 1.15470 | + | 3.06774i | 0.134232 | + | 0.356618i | ||||
\(75\) | −8.51352 | + | 3.72212i | −0.983056 | + | 0.429793i | ||||
\(76\) | −13.0703 | + | 2.60051i | −1.49926 | + | 0.298299i | ||||
\(77\) | −8.48672 | − | 0.785418i | −0.967151 | − | 0.0895067i | ||||
\(78\) | 1.35908 | + | 1.11531i | 0.153885 | + | 0.126284i | ||||
\(79\) | 13.5306 | − | 7.81192i | 1.52232 | − | 0.878910i | 0.522665 | − | 0.852538i | \(-0.324938\pi\) |
0.999652 | − | 0.0263718i | \(-0.00839538\pi\) | |||||||
\(80\) | −7.38769 | + | 5.04203i | −0.825969 | + | 0.563716i | ||||
\(81\) | 5.07728 | − | 8.79410i | 0.564142 | − | 0.977123i | ||||
\(82\) | 2.15340 | − | 13.0450i | 0.237804 | − | 1.44058i | ||||
\(83\) | 6.60312 | 0.724787 | 0.362393 | − | 0.932025i | \(-0.381960\pi\) | ||||
0.362393 | + | 0.932025i | \(0.381960\pi\) | |||||||
\(84\) | −8.98077 | − | 4.00500i | −0.979882 | − | 0.436982i | ||||
\(85\) | −4.83844 | − | 5.41008i | −0.524802 | − | 0.586805i | ||||
\(86\) | −1.57671 | + | 9.55146i | −0.170021 | + | 1.02996i | ||||
\(87\) | 5.10745 | + | 2.94879i | 0.547576 | + | 0.316143i | ||||
\(88\) | 7.73711 | − | 4.81204i | 0.824779 | − | 0.512965i | ||||
\(89\) | −1.31681 | + | 0.760263i | −0.139582 | + | 0.0805877i | −0.568165 | − | 0.822915i | \(-0.692346\pi\) |
0.428583 | + | 0.903503i | \(0.359013\pi\) | |||||||
\(90\) | 1.43237 | − | 0.0608833i | 0.150985 | − | 0.00641766i | ||||
\(91\) | 1.60786 | − | 0.739958i | 0.168549 | − | 0.0775687i | ||||
\(92\) | −3.44412 | − | 17.3103i | −0.359075 | − | 1.80473i | ||||
\(93\) | 4.80718 | + | 8.32628i | 0.498481 | + | 0.863395i | ||||
\(94\) | −4.78076 | + | 1.79948i | −0.493097 | + | 0.185603i | ||||
\(95\) | −3.04879 | − | 14.5842i | −0.312799 | − | 1.49631i | ||||
\(96\) | 10.2374 | − | 2.38835i | 1.04485 | − | 0.243760i | ||||
\(97\) | −12.1700 | −1.23568 | −0.617839 | − | 0.786305i | \(-0.711992\pi\) | ||||
−0.617839 | + | 0.786305i | \(0.711992\pi\) | |||||||
\(98\) | −7.57774 | + | 6.37008i | −0.765467 | + | 0.643475i | ||||
\(99\) | −1.46046 | −0.146782 | ||||||||
\(100\) | −5.71685 | − | 8.20473i | −0.571685 | − | 0.820473i | ||||
\(101\) | 7.06658 | − | 12.2397i | 0.703151 | − | 1.21789i | −0.264204 | − | 0.964467i | \(-0.585109\pi\) |
0.967355 | − | 0.253426i | \(-0.0815574\pi\) | |||||||
\(102\) | 3.00505 | + | 7.98362i | 0.297544 | + | 0.790496i | ||||
\(103\) | −0.433570 | + | 0.250322i | −0.0427209 | + | 0.0246649i | −0.521208 | − | 0.853429i | \(-0.674519\pi\) |
0.478487 | + | 0.878094i | \(0.341185\pi\) | |||||||
\(104\) | −0.891836 | + | 1.66881i | −0.0874517 | + | 0.163640i | ||||
\(105\) | 4.38032 | − | 10.0837i | 0.427476 | − | 0.984066i | ||||
\(106\) | −0.0233345 | + | 0.0284346i | −0.00226645 | + | 0.00276181i | ||||
\(107\) | −16.0652 | + | 9.27527i | −1.55309 | + | 0.896674i | −0.555197 | + | 0.831719i | \(0.687357\pi\) |
−0.997888 | + | 0.0649558i | \(0.979309\pi\) | |||||||
\(108\) | 8.96279 | + | 3.04196i | 0.862445 | + | 0.292713i | ||||
\(109\) | 3.92950 | + | 2.26870i | 0.376378 | + | 0.217302i | 0.676241 | − | 0.736680i | \(-0.263608\pi\) |
−0.299863 | + | 0.953982i | \(0.596941\pi\) | |||||||
\(110\) | 5.46351 | + | 8.59786i | 0.520925 | + | 0.819774i | ||||
\(111\) | 4.30722 | 0.408823 | ||||||||
\(112\) | 2.34138 | − | 10.3208i | 0.221239 | − | 0.975220i | ||||
\(113\) | 6.94668i | 0.653489i | 0.945113 | + | 0.326744i | \(0.105952\pi\) | ||||
−0.945113 | + | 0.326744i | \(0.894048\pi\) | |||||||
\(114\) | −2.85211 | + | 17.2776i | −0.267124 | + | 1.61820i | ||||
\(115\) | 19.3153 | − | 4.03782i | 1.80116 | − | 0.376529i | ||||
\(116\) | −2.03994 | + | 6.01045i | −0.189404 | + | 0.558056i | ||||
\(117\) | 0.262659 | − | 0.151646i | 0.0242828 | − | 0.0140197i | ||||
\(118\) | 0.0202273 | + | 0.0165993i | 0.00186207 | + | 0.00152809i | ||||
\(119\) | 8.55131 | + | 0.791396i | 0.783897 | + | 0.0725471i | ||||
\(120\) | 2.78093 | + | 11.4193i | 0.253863 | + | 1.04244i | ||||
\(121\) | 0.311339 | + | 0.539255i | 0.0283036 | + | 0.0490232i | ||||
\(122\) | 0.894584 | + | 2.37667i | 0.0809918 | + | 0.215174i | ||||
\(123\) | −15.0459 | − | 8.68675i | −1.35664 | − | 0.783258i | ||||
\(124\) | −7.77921 | + | 6.82286i | −0.698594 | + | 0.612711i | ||||
\(125\) | 9.11086 | − | 6.48013i | 0.814901 | − | 0.579601i | ||||
\(126\) | −1.19237 | + | 1.20657i | −0.106225 | + | 0.107489i | ||||
\(127\) | 5.54642 | 0.492166 | 0.246083 | − | 0.969249i | \(-0.420856\pi\) | ||||
0.246083 | + | 0.969249i | \(0.420856\pi\) | |||||||
\(128\) | 4.67103 | + | 10.3044i | 0.412864 | + | 0.910793i | ||||
\(129\) | 11.0165 | + | 6.36040i | 0.969951 | + | 0.560002i | ||||
\(130\) | −1.87535 | − | 0.978995i | −0.164479 | − | 0.0858635i | ||||
\(131\) | 1.39758 | − | 0.806895i | 0.122107 | − | 0.0704987i | −0.437702 | − | 0.899120i | \(-0.644208\pi\) |
0.559810 | + | 0.828621i | \(0.310874\pi\) | |||||||
\(132\) | −2.33635 | − | 11.7426i | −0.203353 | − | 1.02206i | ||||
\(133\) | 14.3901 | + | 10.1841i | 1.24778 | + | 0.883071i | ||||
\(134\) | 5.23270 | + | 4.29415i | 0.452036 | + | 0.370958i | ||||
\(135\) | −3.30385 | + | 10.0532i | −0.284350 | + | 0.865238i | ||||
\(136\) | −7.79600 | + | 4.84866i | −0.668501 | + | 0.415769i | ||||
\(137\) | 7.25548 | + | 4.18895i | 0.619877 | + | 0.357886i | 0.776821 | − | 0.629721i | \(-0.216831\pi\) |
−0.156944 | + | 0.987607i | \(0.550164\pi\) | |||||||
\(138\) | −22.8825 | − | 3.77734i | −1.94789 | − | 0.321548i | ||||
\(139\) | − | 10.1284i | − | 0.859077i | −0.903048 | − | 0.429539i | \(-0.858676\pi\) | ||
0.903048 | − | 0.429539i | \(-0.141324\pi\) | |||||||
\(140\) | 11.5638 | + | 2.50591i | 0.977316 | + | 0.211788i | ||||
\(141\) | 6.71235i | 0.565282i | ||||||||
\(142\) | 1.87398 | − | 11.3523i | 0.157261 | − | 0.952662i | ||||
\(143\) | 1.86632 | + | 1.07752i | 0.156070 | + | 0.0901070i | ||||
\(144\) | 0.236527 | − | 1.79797i | 0.0197105 | − | 0.149831i | ||||
\(145\) | −6.74165 | − | 2.21557i | −0.559864 | − | 0.183993i | ||||
\(146\) | 11.3101 | − | 13.7821i | 0.936031 | − | 1.14061i | ||||
\(147\) | 4.32620 | + | 12.2678i | 0.356819 | + | 1.01183i | ||||
\(148\) | 0.904585 | + | 4.54648i | 0.0743564 | + | 0.373719i | ||||
\(149\) | −2.14985 | + | 1.24122i | −0.176123 | + | 0.101684i | −0.585470 | − | 0.810694i | \(-0.699090\pi\) |
0.409347 | + | 0.912379i | \(0.365757\pi\) | |||||||
\(150\) | −12.7365 | + | 3.23262i | −1.03993 | + | 0.263943i | ||||
\(151\) | −2.38942 | − | 1.37954i | −0.194449 | − | 0.112265i | 0.399615 | − | 0.916683i | \(-0.369144\pi\) |
−0.594063 | + | 0.804418i | \(0.702477\pi\) | |||||||
\(152\) | −18.8364 | + | 0.618034i | −1.52783 | + | 0.0501292i | ||||
\(153\) | 1.47158 | 0.118970 | ||||||||
\(154\) | −11.6609 | − | 3.05070i | −0.939659 | − | 0.245833i | ||||
\(155\) | −7.71203 | − | 8.62317i | −0.619445 | − | 0.692629i | ||||
\(156\) | 1.63947 | + | 1.86927i | 0.131262 | + | 0.149661i | ||||
\(157\) | 4.55831 | + | 2.63174i | 0.363793 | + | 0.210036i | 0.670743 | − | 0.741690i | \(-0.265975\pi\) |
−0.306951 | + | 0.951725i | \(0.599309\pi\) | |||||||
\(158\) | 20.6791 | − | 7.78364i | 1.64514 | − | 0.619233i | ||||
\(159\) | 0.0241674 | + | 0.0418591i | 0.00191660 | + | 0.00331964i | ||||
\(160\) | −11.4696 | + | 5.33365i | −0.906753 | + | 0.421662i | ||||
\(161\) | −13.4878 | + | 19.0583i | −1.06299 | + | 1.50201i | ||||
\(162\) | 9.11006 | − | 11.1012i | 0.715754 | − | 0.872193i | ||||
\(163\) | −3.72563 | + | 2.15099i | −0.291814 | + | 0.168479i | −0.638760 | − | 0.769406i | \(-0.720552\pi\) |
0.346946 | + | 0.937885i | \(0.387219\pi\) | |||||||
\(164\) | 6.00942 | − | 17.7060i | 0.469257 | − | 1.38261i | ||||
\(165\) | 13.1027 | − | 2.73909i | 1.02004 | − | 0.213237i | ||||
\(166\) | 9.21353 | + | 1.52093i | 0.715109 | + | 0.118047i | ||||
\(167\) | − | 3.88102i | − | 0.300322i | −0.988662 | − | 0.150161i | \(-0.952021\pi\) | ||
0.988662 | − | 0.150161i | \(-0.0479792\pi\) | |||||||
\(168\) | −11.6086 | − | 7.65688i | −0.895626 | − | 0.590741i | ||||
\(169\) | 12.5525 | 0.965574 | ||||||||
\(170\) | −5.50509 | − | 8.66330i | −0.422221 | − | 0.664445i | ||||
\(171\) | 2.61616 | + | 1.51044i | 0.200063 | + | 0.115506i | ||||
\(172\) | −4.40006 | + | 12.9643i | −0.335502 | + | 0.988516i | ||||
\(173\) | 14.3964 | − | 8.31178i | 1.09454 | − | 0.631933i | 0.159758 | − | 0.987156i | \(-0.448929\pi\) |
0.934781 | + | 0.355223i | \(0.115595\pi\) | |||||||
\(174\) | 6.44737 | + | 5.29095i | 0.488774 | + | 0.401106i | ||||
\(175\) | −2.67640 | + | 12.9552i | −0.202317 | + | 0.979320i | ||||
\(176\) | 11.9042 | − | 4.93226i | 0.897313 | − | 0.371783i | ||||
\(177\) | 0.0297769 | − | 0.0171917i | 0.00223817 | − | 0.00129221i | ||||
\(178\) | −2.01250 | + | 0.757510i | −0.150844 | + | 0.0567777i | ||||
\(179\) | 7.95928 | − | 13.7859i | 0.594905 | − | 1.03040i | −0.398656 | − | 0.917101i | \(-0.630523\pi\) |
0.993560 | − | 0.113304i | \(-0.0361435\pi\) | |||||||
\(180\) | 2.01266 | + | 0.244973i | 0.150015 | + | 0.0182592i | ||||
\(181\) | 7.50289 | 0.557685 | 0.278843 | − | 0.960337i | \(-0.410049\pi\) | ||||
0.278843 | + | 0.960337i | \(0.410049\pi\) | |||||||
\(182\) | 2.41393 | − | 0.662140i | 0.178933 | − | 0.0490811i | ||||
\(183\) | 3.33693 | 0.246673 | ||||||||
\(184\) | −0.818525 | − | 24.9469i | −0.0603425 | − | 1.83911i | ||||
\(185\) | −5.07309 | + | 1.06052i | −0.372981 | + | 0.0779708i | ||||
\(186\) | 4.78977 | + | 12.7252i | 0.351203 | + | 0.933054i | ||||
\(187\) | 5.22815 | + | 9.05542i | 0.382320 | + | 0.662198i | ||||
\(188\) | −7.08522 | + | 1.40970i | −0.516742 | + | 0.102813i | ||||
\(189\) | −5.23458 | − | 11.3742i | −0.380759 | − | 0.827354i | ||||
\(190\) | −0.894820 | − | 21.0520i | −0.0649171 | − | 1.52727i | ||||
\(191\) | −12.2310 | + | 7.06156i | −0.885002 | + | 0.510956i | −0.872304 | − | 0.488963i | \(-0.837375\pi\) |
−0.0126977 | + | 0.999919i | \(0.504042\pi\) | |||||||
\(192\) | 14.8346 | − | 0.974517i | 1.07060 | − | 0.0703297i | ||||
\(193\) | −7.10077 | − | 4.09963i | −0.511124 | − | 0.295098i | 0.222171 | − | 0.975008i | \(-0.428686\pi\) |
−0.733296 | + | 0.679910i | \(0.762019\pi\) | |||||||
\(194\) | −16.9812 | − | 2.80318i | −1.21918 | − | 0.201256i | ||||
\(195\) | −2.07206 | + | 1.85313i | −0.148383 | + | 0.132705i | ||||
\(196\) | −12.0407 | + | 7.14295i | −0.860049 | + | 0.510211i | ||||
\(197\) | −6.63166 | −0.472486 | −0.236243 | − | 0.971694i | \(-0.575916\pi\) | ||||
−0.236243 | + | 0.971694i | \(0.575916\pi\) | |||||||
\(198\) | −2.03783 | − | 0.336395i | −0.144822 | − | 0.0239066i | ||||
\(199\) | −1.78141 | + | 3.08549i | −0.126281 | + | 0.218725i | −0.922233 | − | 0.386635i | \(-0.873637\pi\) |
0.795952 | + | 0.605360i | \(0.206971\pi\) | |||||||
\(200\) | −6.08706 | − | 12.7651i | −0.430420 | − | 0.902629i | ||||
\(201\) | 7.70315 | − | 4.44742i | 0.543338 | − | 0.313697i | ||||
\(202\) | 12.6794 | − | 15.4507i | 0.892121 | − | 1.08711i | ||||
\(203\) | 7.62757 | − | 3.51031i | 0.535350 | − | 0.246375i | ||||
\(204\) | 2.35413 | + | 11.8320i | 0.164822 | + | 0.828402i | ||||
\(205\) | 19.8601 | + | 6.52678i | 1.38709 | + | 0.455850i | ||||
\(206\) | −0.662631 | + | 0.249415i | −0.0461677 | + | 0.0173776i | ||||
\(207\) | −2.00043 | + | 3.46485i | −0.139039 | + | 0.240823i | ||||
\(208\) | −1.62879 | + | 2.12311i | −0.112936 | + | 0.147211i | ||||
\(209\) | 21.4649i | 1.48476i | ||||||||
\(210\) | 8.43461 | − | 13.0611i | 0.582044 | − | 0.901303i | ||||
\(211\) | −13.5590 | −0.933438 | −0.466719 | − | 0.884406i | \(-0.654564\pi\) | ||||
−0.466719 | + | 0.884406i | \(0.654564\pi\) | |||||||
\(212\) | −0.0391088 | + | 0.0343009i | −0.00268601 | + | 0.00235580i | ||||
\(213\) | −13.0936 | − | 7.55958i | −0.897157 | − | 0.517974i | ||||
\(214\) | −24.5527 | + | 9.24169i | −1.67839 | + | 0.631749i | ||||
\(215\) | −14.5414 | − | 4.77888i | −0.991718 | − | 0.325917i | ||||
\(216\) | 11.8054 | + | 6.30898i | 0.803254 | + | 0.429272i | ||||
\(217\) | 13.6300 | + | 1.26141i | 0.925265 | + | 0.0856303i | ||||
\(218\) | 4.96039 | + | 4.07068i | 0.335960 | + | 0.275702i | ||||
\(219\) | −11.7138 | − | 20.2889i | −0.791545 | − | 1.37100i | ||||
\(220\) | 5.64301 | + | 13.2553i | 0.380452 | + | 0.893672i | ||||
\(221\) | −1.88053 | − | 1.08572i | −0.126498 | − | 0.0730337i | ||||
\(222\) | 6.01000 | + | 0.992102i | 0.403365 | + | 0.0665855i | ||||
\(223\) | 17.5244i | 1.17352i | 0.809760 | + | 0.586761i | \(0.199597\pi\) | ||||
−0.809760 | + | 0.586761i | \(0.800403\pi\) | |||||||
\(224\) | 5.64422 | − | 13.8616i | 0.377120 | − | 0.926164i | ||||
\(225\) | −0.252091 | + | 2.25276i | −0.0168061 | + | 0.150184i | ||||
\(226\) | −1.60006 | + | 9.69291i | −0.106434 | + | 0.644763i | ||||
\(227\) | 5.47563 | − | 9.48408i | 0.363431 | − | 0.629480i | −0.625092 | − | 0.780551i | \(-0.714939\pi\) |
0.988523 | + | 0.151071i | \(0.0482721\pi\) | |||||||
\(228\) | −7.95926 | + | 23.4510i | −0.527115 | + | 1.55308i | ||||
\(229\) | 9.35182 | + | 16.1978i | 0.617985 | + | 1.07038i | 0.989853 | + | 0.142096i | \(0.0453842\pi\) |
−0.371867 | + | 0.928286i | \(0.621282\pi\) | |||||||
\(230\) | 27.8813 | − | 1.18510i | 1.83844 | − | 0.0781433i | ||||
\(231\) | −9.14955 | + | 12.9284i | −0.601996 | + | 0.850624i | ||||
\(232\) | −4.23081 | + | 7.91670i | −0.277766 | + | 0.519757i | ||||
\(233\) | 3.70368 | − | 2.13832i | 0.242636 | − | 0.140086i | −0.373752 | − | 0.927529i | \(-0.621929\pi\) |
0.616388 | + | 0.787443i | \(0.288595\pi\) | |||||||
\(234\) | 0.401425 | − | 0.151097i | 0.0262420 | − | 0.00987753i | ||||
\(235\) | −1.65270 | − | 7.90588i | −0.107811 | − | 0.515723i | ||||
\(236\) | 0.0244003 | + | 0.0278205i | 0.00158833 | + | 0.00181096i | ||||
\(237\) | − | 29.0342i | − | 1.88597i | ||||||
\(238\) | 11.7496 | + | 3.07392i | 0.761614 | + | 0.199253i | ||||
\(239\) | − | 25.1064i | − | 1.62400i | −0.583658 | − | 0.812000i | \(-0.698379\pi\) | ||
0.583658 | − | 0.812000i | \(-0.301621\pi\) | |||||||
\(240\) | 1.25005 | + | 16.5743i | 0.0806904 | + | 1.06986i | ||||
\(241\) | 1.69808 | + | 0.980389i | 0.109383 | + | 0.0631524i | 0.553694 | − | 0.832721i | \(-0.313218\pi\) |
−0.444310 | + | 0.895873i | \(0.646551\pi\) | |||||||
\(242\) | 0.310212 | + | 0.824152i | 0.0199412 | + | 0.0529785i | ||||
\(243\) | −2.33652 | − | 4.04696i | −0.149888 | − | 0.259613i | ||||
\(244\) | 0.700809 | + | 3.52230i | 0.0448647 | + | 0.225492i | ||||
\(245\) | −8.11601 | − | 13.3840i | −0.518513 | − | 0.855070i | ||||
\(246\) | −18.9931 | − | 15.5865i | −1.21096 | − | 0.993758i | ||||
\(247\) | −2.22879 | − | 3.86038i | −0.141815 | − | 0.245630i | ||||
\(248\) | −12.4261 | + | 7.72832i | −0.789058 | + | 0.490749i | ||||
\(249\) | 6.13537 | − | 10.6268i | 0.388813 | − | 0.673444i | ||||
\(250\) | 14.2053 | − | 6.94338i | 0.898420 | − | 0.439138i | ||||
\(251\) | − | 10.2716i | − | 0.648336i | −0.945999 | − | 0.324168i | \(-0.894916\pi\) | ||
0.945999 | − | 0.324168i | \(-0.105084\pi\) | |||||||
\(252\) | −1.94167 | + | 1.40891i | −0.122314 | + | 0.0887531i | ||||
\(253\) | −28.4281 | −1.78726 | ||||||||
\(254\) | 7.73909 | + | 1.27753i | 0.485594 | + | 0.0801596i | ||||
\(255\) | −13.2024 | + | 2.75993i | −0.826768 | + | 0.172834i | ||||
\(256\) | 4.14415 | + | 15.4540i | 0.259010 | + | 0.965875i | ||||
\(257\) | 4.42809 | + | 7.66968i | 0.276217 | + | 0.478422i | 0.970441 | − | 0.241337i | \(-0.0775859\pi\) |
−0.694225 | + | 0.719759i | \(0.744253\pi\) | |||||||
\(258\) | 13.9067 | + | 11.4123i | 0.865792 | + | 0.710501i | ||||
\(259\) | 3.54252 | − | 5.00559i | 0.220121 | − | 0.311032i | ||||
\(260\) | −2.39123 | − | 1.79798i | −0.148298 | − | 0.111506i | ||||
\(261\) | 1.24604 | − | 0.719399i | 0.0771277 | − | 0.0445297i | ||||
\(262\) | 2.13595 | − | 0.803973i | 0.131959 | − | 0.0496696i | ||||
\(263\) | −6.21178 | + | 10.7591i | −0.383035 | + | 0.663436i | −0.991494 | − | 0.130149i | \(-0.958454\pi\) |
0.608459 | + | 0.793585i | \(0.291788\pi\) | |||||||
\(264\) | −0.555253 | − | 16.9229i | −0.0341734 | − | 1.04153i | ||||
\(265\) | −0.0387711 | − | 0.0433517i | −0.00238169 | − | 0.00266307i | ||||
\(266\) | 17.7333 | + | 17.5247i | 1.08730 | + | 1.07451i | ||||
\(267\) | 2.82563i | 0.172926i | ||||||||
\(268\) | 6.31225 | + | 7.19703i | 0.385582 | + | 0.439628i | ||||
\(269\) | −13.6032 | + | 23.5615i | −0.829403 | + | 1.43657i | 0.0691035 | + | 0.997609i | \(0.477986\pi\) |
−0.898507 | + | 0.438959i | \(0.855347\pi\) | |||||||
\(270\) | −6.92556 | + | 13.2665i | −0.421476 | + | 0.807372i | ||||
\(271\) | −5.19784 | − | 9.00292i | −0.315746 | − | 0.546889i | 0.663850 | − | 0.747866i | \(-0.268922\pi\) |
−0.979596 | + | 0.200978i | \(0.935588\pi\) | |||||||
\(272\) | −11.9948 | + | 4.96980i | −0.727292 | + | 0.301338i | ||||
\(273\) | 0.303105 | − | 3.27516i | 0.0183448 | − | 0.198221i | ||||
\(274\) | 9.15892 | + | 7.51616i | 0.553311 | + | 0.454068i | ||||
\(275\) | −14.7581 | + | 6.45225i | −0.889947 | + | 0.389085i | ||||
\(276\) | −31.0586 | − | 10.5413i | −1.86951 | − | 0.634509i | ||||
\(277\) | −10.2142 | + | 17.6915i | −0.613711 | + | 1.06298i | 0.376898 | + | 0.926255i | \(0.376991\pi\) |
−0.990609 | + | 0.136724i | \(0.956343\pi\) | |||||||
\(278\) | 2.33291 | − | 14.1324i | 0.139919 | − | 0.847606i | ||||
\(279\) | 2.34556 | 0.140425 | ||||||||
\(280\) | 15.5581 | + | 6.16010i | 0.929772 | + | 0.368137i | ||||
\(281\) | −31.1658 | −1.85919 | −0.929597 | − | 0.368578i | \(-0.879845\pi\) | ||||
−0.929597 | + | 0.368578i | \(0.879845\pi\) | |||||||
\(282\) | −1.54609 | + | 9.36594i | −0.0920681 | + | 0.557734i | ||||
\(283\) | −7.09232 | + | 12.2843i | −0.421594 | + | 0.730223i | −0.996096 | − | 0.0882807i | \(-0.971863\pi\) |
0.574501 | + | 0.818504i | \(0.305196\pi\) | |||||||
\(284\) | 5.22965 | − | 15.4085i | 0.310322 | − | 0.914329i | ||||
\(285\) | −26.3040 | − | 8.64449i | −1.55811 | − | 0.512056i | ||||
\(286\) | 2.35595 | + | 1.93338i | 0.139310 | + | 0.114323i | ||||
\(287\) | −22.4699 | + | 10.3409i | −1.32635 | + | 0.610406i | ||||
\(288\) | 0.744167 | − | 2.45428i | 0.0438505 | − | 0.144620i | ||||
\(289\) | 3.23206 | + | 5.59809i | 0.190121 | + | 0.329299i | ||||
\(290\) | −8.89651 | − | 4.64428i | −0.522421 | − | 0.272722i | ||||
\(291\) | −11.3079 | + | 19.5859i | −0.662881 | + | 1.14814i | ||||
\(292\) | 18.9558 | − | 16.6255i | 1.10931 | − | 0.972932i | ||||
\(293\) | − | 13.3400i | − | 0.779333i | −0.920956 | − | 0.389666i | \(-0.872590\pi\) | ||
0.920956 | − | 0.389666i | \(-0.127410\pi\) | |||||||
\(294\) | 3.21078 | + | 18.1141i | 0.187257 | + | 1.05644i | ||||
\(295\) | −0.0308387 | + | 0.0275802i | −0.00179550 | + | 0.00160578i | ||||
\(296\) | 0.214982 | + | 6.55220i | 0.0124956 | + | 0.380839i | ||||
\(297\) | 7.62256 | − | 13.2027i | 0.442306 | − | 0.766096i | ||||
\(298\) | −3.28565 | + | 1.23672i | −0.190332 | + | 0.0716414i | ||||
\(299\) | 5.11269 | − | 2.95181i | 0.295675 | − | 0.170708i | ||||
\(300\) | −18.5162 | + | 1.57692i | −1.06903 | + | 0.0910435i | ||||
\(301\) | 16.4523 | − | 7.57158i | 0.948296 | − | 0.436418i | ||||
\(302\) | −3.01628 | − | 2.47527i | −0.173568 | − | 0.142436i | ||||
\(303\) | −13.1320 | − | 22.7453i | −0.754413 | − | 1.30668i | ||||
\(304\) | −26.4253 | − | 3.47630i | −1.51559 | − | 0.199380i | ||||
\(305\) | −3.93028 | + | 0.821615i | −0.225047 | + | 0.0470455i | ||||
\(306\) | 2.05334 | + | 0.338955i | 0.117381 | + | 0.0193768i | ||||
\(307\) | −15.5134 | −0.885395 | −0.442697 | − | 0.896671i | \(-0.645978\pi\) | ||||
−0.442697 | + | 0.896671i | \(0.645978\pi\) | |||||||
\(308\) | −15.5681 | − | 6.94264i | −0.887073 | − | 0.395593i | ||||
\(309\) | 0.930357i | 0.0529262i | ||||||||
\(310\) | −8.77461 | − | 13.8085i | −0.498365 | − | 0.784271i | ||||
\(311\) | −4.58870 | + | 7.94786i | −0.260201 | + | 0.450682i | −0.966295 | − | 0.257436i | \(-0.917122\pi\) |
0.706094 | + | 0.708118i | \(0.250456\pi\) | |||||||
\(312\) | 1.85704 | + | 2.98587i | 0.105134 | + | 0.169042i | ||||
\(313\) | 16.2088 | + | 28.0744i | 0.916175 | + | 1.58686i | 0.805172 | + | 0.593041i | \(0.202073\pi\) |
0.111002 | + | 0.993820i | \(0.464594\pi\) | |||||||
\(314\) | 5.75416 | + | 4.72208i | 0.324726 | + | 0.266483i | ||||
\(315\) | −1.59615 | − | 2.15550i | −0.0899330 | − | 0.121449i | ||||
\(316\) | 30.6470 | − | 6.09763i | 1.72403 | − | 0.343019i | ||||
\(317\) | 0.205982 | + | 0.356772i | 0.0115691 | + | 0.0200383i | 0.871752 | − | 0.489947i | \(-0.162984\pi\) |
−0.860183 | + | 0.509986i | \(0.829651\pi\) | |||||||
\(318\) | 0.0240799 | + | 0.0639739i | 0.00135033 | + | 0.00358748i | ||||
\(319\) | 8.85371 | + | 5.11169i | 0.495713 | + | 0.286200i | ||||
\(320\) | −17.2324 | + | 4.80035i | −0.963322 | + | 0.268348i | ||||
\(321\) | 34.4729i | 1.92409i | ||||||||
\(322\) | −23.2097 | + | 23.4860i | −1.29343 | + | 1.30882i | ||||
\(323\) | − | 21.6282i | − | 1.20343i | ||||||
\(324\) | 15.2685 | − | 13.3915i | 0.848252 | − | 0.743971i | ||||
\(325\) | 1.98423 | − | 2.69281i | 0.110065 | − | 0.149370i | ||||
\(326\) | −5.69393 | + | 2.14321i | −0.315358 | + | 0.118701i | ||||
\(327\) | 7.30229 | − | 4.21598i | 0.403817 | − | 0.233144i | ||||
\(328\) | 12.4634 | − | 23.3216i | 0.688178 | − | 1.28772i | ||||
\(329\) | 7.80069 | + | 5.52064i | 0.430066 | + | 0.304363i | ||||
\(330\) | 18.9135 | − | 0.803922i | 1.04115 | − | 0.0442545i | ||||
\(331\) | 14.7269 | + | 25.5078i | 0.809465 | + | 1.40203i | 0.913235 | + | 0.407433i | \(0.133576\pi\) |
−0.103770 | + | 0.994601i | \(0.533091\pi\) | |||||||
\(332\) | 12.5056 | + | 4.24439i | 0.686334 | + | 0.232941i | ||||
\(333\) | 0.525405 | − | 0.910027i | 0.0287920 | − | 0.0498692i | ||||
\(334\) | 0.893933 | − | 5.41530i | 0.0489138 | − | 0.296312i | ||||
\(335\) | −7.97783 | + | 7.13488i | −0.435875 | + | 0.389820i | ||||
\(336\) | −14.4342 | − | 13.3578i | −0.787452 | − | 0.728725i | ||||
\(337\) | 0.726788i | 0.0395906i | 0.999804 | + | 0.0197953i | \(0.00630146\pi\) | ||||
−0.999804 | + | 0.0197953i | \(0.993699\pi\) | |||||||
\(338\) | 17.5148 | + | 2.89127i | 0.952681 | + | 0.157264i | ||||
\(339\) | 11.1797 | + | 6.45459i | 0.607197 | + | 0.350565i | ||||
\(340\) | −5.68596 | − | 13.3562i | −0.308365 | − | 0.724340i | ||||
\(341\) | 8.33319 | + | 14.4335i | 0.451268 | + | 0.781619i | ||||
\(342\) | 3.30250 | + | 2.71015i | 0.178579 | + | 0.146548i | ||||
\(343\) | 17.8150 | + | 5.06212i | 0.961921 | + | 0.273329i | ||||
\(344\) | −9.12566 | + | 17.0759i | −0.492023 | + | 0.920673i | ||||
\(345\) | 11.4488 | − | 34.8370i | 0.616382 | − | 1.87556i | ||||
\(346\) | 22.0023 | − | 8.28168i | 1.18285 | − | 0.445226i | ||||
\(347\) | −14.4004 | − | 8.31409i | −0.773056 | − | 0.446324i | 0.0609078 | − | 0.998143i | \(-0.480600\pi\) |
−0.833964 | + | 0.551819i | \(0.813934\pi\) | |||||||
\(348\) | 7.77752 | + | 8.86767i | 0.416919 | + | 0.475357i | ||||
\(349\) | −33.3428 | −1.78480 | −0.892401 | − | 0.451244i | \(-0.850980\pi\) | ||||
−0.892401 | + | 0.451244i | \(0.850980\pi\) | |||||||
\(350\) | −6.71850 | + | 17.4603i | −0.359119 | + | 0.933292i | ||||
\(351\) | 3.16593i | 0.168985i | ||||||||
\(352\) | 17.7464 | − | 4.14018i | 0.945884 | − | 0.220672i | ||||
\(353\) | 4.25151 | − | 7.36384i | 0.226285 | − | 0.391938i | −0.730419 | − | 0.682999i | \(-0.760675\pi\) |
0.956704 | + | 0.291062i | \(0.0940085\pi\) | |||||||
\(354\) | 0.0455085 | − | 0.0171295i | 0.00241875 | − | 0.000910421i | ||||
\(355\) | 17.2831 | + | 5.67988i | 0.917290 | + | 0.301457i | ||||
\(356\) | −2.98259 | + | 0.593427i | −0.158077 | + | 0.0314515i | ||||
\(357\) | 9.21918 | − | 13.0268i | 0.487931 | − | 0.689449i | ||||
\(358\) | 14.2812 | − | 17.4026i | 0.754784 | − | 0.919754i | ||||
\(359\) | −28.2304 | + | 16.2989i | −1.48995 | + | 0.860220i | −0.999934 | − | 0.0114955i | \(-0.996341\pi\) |
−0.490012 | + | 0.871716i | \(0.663007\pi\) | |||||||
\(360\) | 2.75189 | + | 0.805402i | 0.145038 | + | 0.0424484i | ||||
\(361\) | 12.6994 | − | 21.9960i | 0.668389 | − | 1.15768i | ||||
\(362\) | 10.4690 | + | 1.72817i | 0.550239 | + | 0.0908309i | ||||
\(363\) | 1.15714 | 0.0607340 | ||||||||
\(364\) | 3.52075 | − | 0.367893i | 0.184537 | − | 0.0192828i | ||||
\(365\) | 18.7921 | + | 21.0123i | 0.983625 | + | 1.09984i | ||||
\(366\) | 4.65613 | + | 0.768611i | 0.243380 | + | 0.0401760i | ||||
\(367\) | 3.02375 | + | 1.74576i | 0.157838 | + | 0.0911280i | 0.576839 | − | 0.816858i | \(-0.304286\pi\) |
−0.419000 | + | 0.907986i | \(0.637619\pi\) | |||||||
\(368\) | 4.60402 | − | 34.9977i | 0.240001 | − | 1.82438i | ||||
\(369\) | −3.67067 | + | 2.11926i | −0.191087 | + | 0.110324i | ||||
\(370\) | −7.32292 | + | 0.311262i | −0.380700 | + | 0.0161817i | ||||
\(371\) | 0.0685228 | + | 0.00634157i | 0.00355753 | + | 0.000329238i | ||||
\(372\) | 3.75227 | + | 18.8590i | 0.194546 | + | 0.977796i | ||||
\(373\) | −12.1896 | − | 21.1129i | −0.631151 | − | 1.09319i | −0.987317 | − | 0.158763i | \(-0.949249\pi\) |
0.356165 | − | 0.934423i | \(-0.384084\pi\) | |||||||
\(374\) | 5.20922 | + | 13.8395i | 0.269362 | + | 0.715625i | ||||
\(375\) | −1.96337 | − | 20.6837i | −0.101388 | − | 1.06810i | ||||
\(376\) | −10.2109 | + | 0.335027i | −0.526588 | + | 0.0172777i | ||||
\(377\) | −2.12308 | −0.109344 | ||||||||
\(378\) | −4.68408 | − | 17.0765i | −0.240923 | − | 0.878321i | ||||
\(379\) | −33.6902 | −1.73055 | −0.865274 | − | 0.501299i | \(-0.832856\pi\) | ||||
−0.865274 | + | 0.501299i | \(0.832856\pi\) | |||||||
\(380\) | 3.60044 | − | 29.5806i | 0.184698 | − | 1.51745i | ||||
\(381\) | 5.15352 | − | 8.92617i | 0.264023 | − | 0.457301i | ||||
\(382\) | −18.6928 | + | 7.03599i | −0.956405 | + | 0.359992i | ||||
\(383\) | 12.7966 | − | 7.38811i | 0.653875 | − | 0.377515i | −0.136064 | − | 0.990700i | \(-0.543445\pi\) |
0.789939 | + | 0.613185i | \(0.210112\pi\) | |||||||
\(384\) | 20.9236 | + | 2.05715i | 1.06776 | + | 0.104979i | ||||
\(385\) | 7.59324 | − | 17.4800i | 0.386987 | − | 0.890861i | ||||
\(386\) | −8.96363 | − | 7.35589i | −0.456237 | − | 0.374405i | ||||
\(387\) | 2.68764 | − | 1.55171i | 0.136621 | − | 0.0788779i | ||||
\(388\) | −23.0487 | − | 7.82271i | −1.17012 | − | 0.397138i | ||||
\(389\) | 0.178263 | + | 0.102920i | 0.00903829 | + | 0.00521826i | 0.504512 | − | 0.863404i | \(-0.331672\pi\) |
−0.495474 | + | 0.868623i | \(0.665006\pi\) | |||||||
\(390\) | −3.31805 | + | 2.10845i | −0.168016 | + | 0.106766i | ||||
\(391\) | 28.6445 | 1.44861 | ||||||||
\(392\) | −18.4460 | + | 7.19339i | −0.931664 | + | 0.363321i | ||||
\(393\) | − | 2.99894i | − | 0.151277i | ||||||
\(394\) | −9.25335 | − | 1.52750i | −0.466177 | − | 0.0769544i | ||||
\(395\) | 7.14874 | + | 34.1968i | 0.359692 | + | 1.72063i | ||||
\(396\) | −2.76596 | − | 0.938764i | −0.138995 | − | 0.0471747i | ||||
\(397\) | −4.39175 | + | 2.53558i | −0.220416 | + | 0.127257i | −0.606143 | − | 0.795356i | \(-0.707284\pi\) |
0.385727 | + | 0.922613i | \(0.373951\pi\) | |||||||
\(398\) | −3.19635 | + | 3.89496i | −0.160219 | + | 0.195237i | ||||
\(399\) | 29.7605 | − | 13.6962i | 1.48989 | − | 0.685668i | ||||
\(400\) | −5.55321 | − | 19.2136i | −0.277661 | − | 0.960679i | ||||
\(401\) | −9.62688 | − | 16.6743i | −0.480744 | − | 0.832672i | 0.519012 | − | 0.854767i | \(-0.326300\pi\) |
−0.999756 | + | 0.0220944i | \(0.992967\pi\) | |||||||
\(402\) | 11.7728 | − | 4.43131i | 0.587176 | − | 0.221014i | ||||
\(403\) | −2.99739 | − | 1.73054i | −0.149311 | − | 0.0862045i | ||||
\(404\) | 21.2508 | − | 18.6383i | 1.05727 | − | 0.927291i | ||||
\(405\) | 15.1367 | + | 16.9250i | 0.752148 | + | 0.841010i | ||||
\(406\) | 11.4515 | − | 3.14115i | 0.568329 | − | 0.155893i | ||||
\(407\) | 7.46653 | 0.370102 | ||||||||
\(408\) | 0.559478 | + | 17.0517i | 0.0276983 | + | 0.844186i | ||||
\(409\) | −18.9967 | − | 10.9678i | −0.939327 | − | 0.542321i | −0.0495776 | − | 0.998770i | \(-0.515788\pi\) |
−0.889749 | + | 0.456450i | \(0.849121\pi\) | |||||||
\(410\) | 26.2080 | + | 13.6815i | 1.29432 | + | 0.675680i | ||||
\(411\) | 13.4830 | − | 7.78442i | 0.665068 | − | 0.383977i | ||||
\(412\) | −0.982038 | + | 0.195390i | −0.0483815 | + | 0.00962617i | ||||
\(413\) | 0.00451114 | − | 0.0487445i | 0.000221979 | − | 0.00239856i | ||||
\(414\) | −3.58933 | + | 4.37383i | −0.176406 | + | 0.214962i | ||||
\(415\) | −4.60980 | + | 14.0270i | −0.226286 | + | 0.688557i | ||||
\(416\) | −2.76173 | + | 2.58728i | −0.135405 | + | 0.126852i | ||||
\(417\) | −16.3001 | − | 9.41089i | −0.798222 | − | 0.460853i | ||||
\(418\) | −4.94410 | + | 29.9506i | −0.241824 | + | 1.46493i | ||||
\(419\) | − | 20.3822i | − | 0.995734i | −0.867253 | − | 0.497867i | \(-0.834117\pi\) | ||
0.867253 | − | 0.497867i | \(-0.165883\pi\) | |||||||
\(420\) | 14.7775 | − | 16.2818i | 0.721068 | − | 0.794470i | ||||
\(421\) | 21.2887i | 1.03755i | 0.854912 | + | 0.518774i | \(0.173611\pi\) | ||||
−0.854912 | + | 0.518774i | \(0.826389\pi\) | |||||||
\(422\) | −18.9192 | − | 3.12310i | −0.920974 | − | 0.152030i | ||||
\(423\) | 1.41818 | + | 0.818788i | 0.0689544 | + | 0.0398108i | ||||
\(424\) | −0.0624704 | + | 0.0388530i | −0.00303383 | + | 0.00188687i | ||||
\(425\) | 14.8704 | − | 6.50136i | 0.721321 | − | 0.315362i | ||||
\(426\) | −16.5286 | − | 13.5640i | −0.800814 | − | 0.657178i | ||||
\(427\) | 2.74449 | − | 3.87798i | 0.132815 | − | 0.187669i | ||||
\(428\) | −36.3878 | + | 7.23986i | −1.75887 | + | 0.349952i | ||||
\(429\) | 3.46823 | − | 2.00239i | 0.167448 | − | 0.0966761i | ||||
\(430\) | −19.1894 | − | 10.0175i | −0.925393 | − | 0.483087i | ||||
\(431\) | 18.7227 | + | 10.8096i | 0.901842 | + | 0.520679i | 0.877797 | − | 0.479032i | \(-0.159012\pi\) |
0.0240450 | + | 0.999711i | \(0.492346\pi\) | |||||||
\(432\) | 15.0192 | + | 11.5223i | 0.722613 | + | 0.554367i | ||||
\(433\) | −29.8068 | −1.43243 | −0.716213 | − | 0.697882i | \(-0.754126\pi\) | ||||
−0.716213 | + | 0.697882i | \(0.754126\pi\) | |||||||
\(434\) | 18.7278 | + | 4.89955i | 0.898964 | + | 0.235186i | ||||
\(435\) | −9.82972 | + | 8.79110i | −0.471299 | + | 0.421501i | ||||
\(436\) | 5.98377 | + | 6.82250i | 0.286570 | + | 0.326738i | ||||
\(437\) | 50.9239 | + | 29.4009i | 2.43602 | + | 1.40644i | ||||
\(438\) | −11.6714 | − | 31.0078i | −0.557680 | − | 1.48161i | ||||
\(439\) | 14.9755 | + | 25.9383i | 0.714740 | + | 1.23797i | 0.963060 | + | 0.269288i | \(0.0867883\pi\) |
−0.248320 | + | 0.968678i | \(0.579878\pi\) | |||||||
\(440\) | 4.82072 | + | 19.7953i | 0.229819 | + | 0.943703i | ||||
\(441\) | 3.11965 | + | 0.582416i | 0.148555 | + | 0.0277341i | ||||
\(442\) | −2.37388 | − | 1.94809i | −0.112914 | − | 0.0926613i | ||||
\(443\) | 32.1133 | − | 18.5406i | 1.52575 | − | 0.880893i | 0.526218 | − | 0.850350i | \(-0.323610\pi\) |
0.999533 | − | 0.0305429i | \(-0.00972363\pi\) | |||||||
\(444\) | 8.15741 | + | 2.76862i | 0.387134 | + | 0.131393i | ||||
\(445\) | −0.695721 | − | 3.32806i | −0.0329803 | − | 0.157765i | ||||
\(446\) | −4.03648 | + | 24.4524i | −0.191133 | + | 1.15785i | ||||
\(447\) | 4.61317i | 0.218195i | ||||||||
\(448\) | 11.0683 | − | 18.0414i | 0.522930 | − | 0.852376i | ||||
\(449\) | 17.1980 | 0.811625 | 0.405813 | − | 0.913956i | \(-0.366989\pi\) | ||||
0.405813 | + | 0.913956i | \(0.366989\pi\) | |||||||
\(450\) | −0.870640 | + | 3.08528i | −0.0410424 | + | 0.145442i | ||||
\(451\) | −26.0819 | − | 15.0584i | −1.22815 | − | 0.709073i | ||||
\(452\) | −4.46523 | + | 13.1563i | −0.210027 | + | 0.618819i | ||||
\(453\) | −4.44032 | + | 2.56362i | −0.208625 | + | 0.120449i | ||||
\(454\) | 9.82483 | − | 11.9722i | 0.461102 | − | 0.561883i | ||||
\(455\) | 0.449403 | + | 3.93215i | 0.0210683 | + | 0.184342i | ||||
\(456\) | −16.5074 | + | 30.8886i | −0.773029 | + | 1.44649i | ||||
\(457\) | 8.54674 | − | 4.93447i | 0.399800 | − | 0.230825i | −0.286598 | − | 0.958051i | \(-0.592524\pi\) |
0.686398 | + | 0.727226i | \(0.259191\pi\) | |||||||
\(458\) | 9.31795 | + | 24.7554i | 0.435399 | + | 1.15674i | ||||
\(459\) | −7.68057 | + | 13.3031i | −0.358498 | + | 0.620937i | ||||
\(460\) | 39.1766 | + | 4.76842i | 1.82662 | + | 0.222329i | ||||
\(461\) | −19.0434 | −0.886938 | −0.443469 | − | 0.896290i | \(-0.646252\pi\) | ||||
−0.443469 | + | 0.896290i | \(0.646252\pi\) | |||||||
\(462\) | −15.7445 | + | 15.9319i | −0.732500 | + | 0.741218i | ||||
\(463\) | 15.5965 | 0.724831 | 0.362415 | − | 0.932017i | \(-0.381952\pi\) | ||||
0.362415 | + | 0.932017i | \(0.381952\pi\) | |||||||
\(464\) | −7.72686 | + | 10.0719i | −0.358711 | + | 0.467576i | ||||
\(465\) | −21.0435 | + | 4.39908i | −0.975867 | + | 0.204002i | ||||
\(466\) | 5.66038 | − | 2.13058i | 0.262212 | − | 0.0986970i | ||||
\(467\) | −11.3528 | − | 19.6636i | −0.525343 | − | 0.909921i | −0.999564 | − | 0.0295151i | \(-0.990604\pi\) |
0.474221 | − | 0.880406i | \(-0.342730\pi\) | |||||||
\(468\) | 0.594924 | − | 0.118368i | 0.0275004 | − | 0.00547157i | ||||
\(469\) | 1.16701 | − | 12.6100i | 0.0538876 | − | 0.582274i | ||||
\(470\) | −0.485069 | − | 11.4120i | −0.0223746 | − | 0.526396i | ||||
\(471\) | 8.47081 | − | 4.89062i | 0.390314 | − | 0.225348i | ||||
\(472\) | 0.0276385 | + | 0.0444390i | 0.00127217 | + | 0.00204547i | ||||
\(473\) | 19.0970 | + | 11.0257i | 0.878083 | + | 0.506961i | ||||
\(474\) | 6.68757 | − | 40.5122i | 0.307170 | − | 1.86079i | ||||
\(475\) | 33.1095 | + | 3.70506i | 1.51917 | + | 0.170000i | ||||
\(476\) | 15.6866 | + | 6.99548i | 0.718992 | + | 0.320637i | ||||
\(477\) | 0.0117920 | 0.000539917 | ||||||||
\(478\) | 5.78288 | − | 35.0317i | 0.264503 | − | 1.60231i | ||||
\(479\) | 17.2162 | − | 29.8193i | 0.786626 | − | 1.36248i | −0.141397 | − | 0.989953i | \(-0.545159\pi\) |
0.928023 | − | 0.372523i | \(-0.121507\pi\) | |||||||
\(480\) | −2.07340 | + | 23.4145i | −0.0946372 | + | 1.06872i | ||||
\(481\) | −1.34283 | + | 0.775282i | −0.0612277 | + | 0.0353498i | ||||
\(482\) | 2.14357 | + | 1.75909i | 0.0976369 | + | 0.0801245i | ||||
\(483\) | 18.1393 | + | 39.4149i | 0.825366 | + | 1.79344i | ||||
\(484\) | 0.243017 | + | 1.22142i | 0.0110462 | + | 0.0555189i | ||||
\(485\) | 8.49618 | − | 25.8527i | 0.385792 | − | 1.17391i | ||||
\(486\) | −2.32806 | − | 6.18503i | −0.105603 | − | 0.280559i | ||||
\(487\) | −0.417834 | + | 0.723709i | −0.0189338 | + | 0.0327944i | −0.875337 | − | 0.483513i | \(-0.839361\pi\) |
0.856403 | + | 0.516308i | \(0.172694\pi\) | |||||||
\(488\) | 0.166553 | + | 5.07619i | 0.00753951 | + | 0.229788i | ||||
\(489\) | 7.99448i | 0.361523i | ||||||||
\(490\) | −8.24172 | − | 20.5444i | −0.372323 | − | 0.928103i | ||||
\(491\) | 28.3101 | 1.27762 | 0.638809 | − | 0.769365i | \(-0.279427\pi\) | ||||
0.638809 | + | 0.769365i | \(0.279427\pi\) | |||||||
\(492\) | −22.9116 | − | 26.1231i | −1.03293 | − | 1.17772i | ||||
\(493\) | −8.92109 | − | 5.15060i | −0.401786 | − | 0.231971i | ||||
\(494\) | −2.22072 | − | 5.89987i | −0.0999149 | − | 0.265448i | ||||
\(495\) | 1.01958 | − | 3.10245i | 0.0458269 | − | 0.139445i | ||||
\(496\) | −19.1186 | + | 7.92140i | −0.858451 | + | 0.355681i | ||||
\(497\) | −19.5542 | + | 8.99911i | −0.877127 | + | 0.403665i | ||||
\(498\) | 11.0086 | − | 13.4147i | 0.493306 | − | 0.601125i | ||||
\(499\) | 2.19914 | + | 3.80903i | 0.0984472 | + | 0.170516i | 0.911042 | − | 0.412313i | \(-0.135279\pi\) |
−0.812595 | + | 0.582829i | \(0.801946\pi\) | |||||||
\(500\) | 21.4203 | − | 6.41634i | 0.957946 | − | 0.286948i | ||||
\(501\) | −6.24594 | − | 3.60609i | −0.279048 | − | 0.161108i | ||||
\(502\) | 2.36590 | − | 14.3322i | 0.105595 | − | 0.639679i | ||||
\(503\) | 21.2435i | 0.947200i | 0.880740 | + | 0.473600i | \(0.157046\pi\) | ||||
−0.880740 | + | 0.473600i | \(0.842954\pi\) | |||||||
\(504\) | −3.03379 | + | 1.51866i | −0.135136 | + | 0.0676467i | ||||
\(505\) | 21.0673 | + | 23.5563i | 0.937482 | + | 1.04824i | ||||
\(506\) | −39.6666 | − | 6.54798i | −1.76340 | − | 0.291093i | ||||
\(507\) | 11.6633 | − | 20.2014i | 0.517984 | − | 0.897174i | ||||
\(508\) | 10.5043 | + | 3.56516i | 0.466054 | + | 0.158178i | ||||
\(509\) | −4.64622 | − | 8.04750i | −0.205940 | − | 0.356699i | 0.744492 | − | 0.667632i | \(-0.232692\pi\) |
−0.950432 | + | 0.310933i | \(0.899359\pi\) | |||||||
\(510\) | −19.0574 | + | 0.810041i | −0.843878 | + | 0.0358692i | ||||
\(511\) | −33.2126 | − | 3.07372i | −1.46924 | − | 0.135973i | ||||
\(512\) | 2.22287 | + | 22.5180i | 0.0982381 | + | 0.995163i | ||||
\(513\) | −27.3089 | + | 15.7668i | −1.20572 | + | 0.696121i | ||||
\(514\) | 4.41206 | + | 11.7217i | 0.194608 | + | 0.517021i | ||||
\(515\) | −0.229071 | − | 1.09579i | −0.0100941 | − | 0.0482861i | ||||
\(516\) | 16.7757 | + | 19.1272i | 0.738511 | + | 0.842027i | ||||
\(517\) | 11.6358i | 0.511742i | ||||||||
\(518\) | 6.09594 | − | 6.16849i | 0.267840 | − | 0.271028i | ||||
\(519\) | − | 30.8919i | − | 1.35601i | ||||||
\(520\) | −2.92242 | − | 3.05956i | −0.128157 | − | 0.134170i | ||||
\(521\) | 19.2972 | + | 11.1412i | 0.845425 | + | 0.488106i | 0.859104 | − | 0.511800i | \(-0.171021\pi\) |
−0.0136798 | + | 0.999906i | \(0.504355\pi\) | |||||||
\(522\) | 1.90433 | − | 0.716794i | 0.0833504 | − | 0.0313732i | ||||
\(523\) | −1.18906 | − | 2.05951i | −0.0519939 | − | 0.0900560i | 0.838857 | − | 0.544352i | \(-0.183224\pi\) |
−0.890851 | + | 0.454296i | \(0.849891\pi\) | |||||||
\(524\) | 3.16553 | − | 0.629826i | 0.138287 | − | 0.0275141i | ||||
\(525\) | 18.3627 | + | 16.3447i | 0.801413 | + | 0.713343i | ||||
\(526\) | −11.1457 | + | 13.5817i | −0.485975 | + | 0.592192i | ||||
\(527\) | −8.39662 | − | 14.5434i | −0.365762 | − | 0.633519i | ||||
\(528\) | 3.12317 | − | 23.7409i | 0.135919 | − | 1.03319i | ||||
\(529\) | −27.4386 | + | 47.5251i | −1.19298 | + | 2.06631i | ||||
\(530\) | −0.0441131 | − | 0.0694203i | −0.00191615 | − | 0.00301542i | ||||
\(531\) | − | 0.00838834i | − | 0.000364023i | ||||||
\(532\) | 20.7072 | + | 28.5373i | 0.897771 | + | 1.23725i | ||||
\(533\) | 6.25432 | 0.270905 | ||||||||
\(534\) | −0.650840 | + | 3.94268i | −0.0281646 | + | 0.170617i | ||||
\(535\) | −8.48786 | − | 40.6026i | −0.366962 | − | 1.75540i | ||||
\(536\) | 7.14995 | + | 11.4962i | 0.308831 | + | 0.496558i | ||||
\(537\) | −14.7909 | − | 25.6186i | −0.638275 | − | 1.10552i | ||||
\(538\) | −24.4080 | + | 29.7428i | −1.05230 | + | 1.28230i | ||||
\(539\) | 7.49943 | + | 21.2661i | 0.323023 | + | 0.915996i | ||||
\(540\) | −12.7192 | + | 16.9159i | −0.547346 | + | 0.727945i | ||||
\(541\) | 18.1918 | − | 10.5031i | 0.782128 | − | 0.451562i | −0.0550562 | − | 0.998483i | \(-0.517534\pi\) |
0.837184 | + | 0.546922i | \(0.184200\pi\) | |||||||
\(542\) | −5.17902 | − | 13.7593i | −0.222458 | − | 0.591012i | ||||
\(543\) | 6.97140 | − | 12.0748i | 0.299171 | − | 0.518180i | ||||
\(544\) | −17.8814 | + | 4.17169i | −0.766660 | + | 0.178860i | ||||
\(545\) | −7.56266 | + | 6.76358i | −0.323949 | + | 0.289720i | ||||
\(546\) | 1.17731 | − | 4.50011i | 0.0503844 | − | 0.192587i | ||||
\(547\) | − | 14.9270i | − | 0.638234i | −0.947715 | − | 0.319117i | \(-0.896614\pi\) | ||
0.947715 | − | 0.319117i | \(-0.103386\pi\) | |||||||
\(548\) | 11.0485 | + | 12.5971i | 0.471968 | + | 0.538123i | ||||
\(549\) | 0.407047 | − | 0.705026i | 0.0173723 | − | 0.0300898i | ||||
\(550\) | −22.0786 | + | 5.60372i | −0.941434 | + | 0.238943i | ||||
\(551\) | −10.5732 | − | 18.3134i | −0.450434 | − | 0.780175i | ||||
\(552\) | −40.9090 | − | 21.8624i | −1.74120 | − | 0.930526i | ||||
\(553\) | −33.7417 | − | 23.8794i | −1.43485 | − | 1.01546i | ||||
\(554\) | −18.3271 | + | 22.3328i | −0.778645 | + | 0.948829i | ||||
\(555\) | −3.00698 | + | 9.14980i | −0.127639 | + | 0.388387i | ||||
\(556\) | 6.51037 | − | 19.1820i | 0.276101 | − | 0.813500i | ||||
\(557\) | −1.63827 | + | 2.83757i | −0.0694157 | + | 0.120232i | −0.898644 | − | 0.438678i | \(-0.855447\pi\) |
0.829229 | + | 0.558910i | \(0.188780\pi\) | |||||||
\(558\) | 3.27283 | + | 0.540264i | 0.138550 | + | 0.0228712i | ||||
\(559\) | −4.57938 | −0.193687 | ||||||||
\(560\) | 20.2897 | + | 12.1789i | 0.857398 | + | 0.514654i | ||||
\(561\) | 19.4312 | 0.820385 | ||||||||
\(562\) | −43.4865 | − | 7.17855i | −1.83437 | − | 0.302809i | ||||
\(563\) | −4.29192 | + | 7.43383i | −0.180883 | + | 0.313299i | −0.942181 | − | 0.335103i | \(-0.891229\pi\) |
0.761298 | + | 0.648402i | \(0.224562\pi\) | |||||||
\(564\) | −4.31460 | + | 12.7125i | −0.181677 | + | 0.535291i | ||||
\(565\) | −14.7568 | − | 4.84965i | −0.620823 | − | 0.204026i | ||||
\(566\) | −12.7256 | + | 15.5070i | −0.534897 | + | 0.651807i | ||||
\(567\) | −26.7521 | − | 2.47582i | −1.12348 | − | 0.103975i | ||||
\(568\) | 10.8462 | − | 20.2954i | 0.455097 | − | 0.851577i | ||||
\(569\) | −12.8908 | − | 22.3275i | −0.540411 | − | 0.936019i | −0.998880 | − | 0.0473086i | \(-0.984936\pi\) |
0.458470 | − | 0.888710i | \(-0.348398\pi\) | |||||||
\(570\) | −34.7116 | − | 18.1206i | −1.45391 | − | 0.758990i | ||||
\(571\) | −15.5532 | + | 26.9389i | −0.650881 | + | 1.12736i | 0.332029 | + | 0.943269i | \(0.392267\pi\) |
−0.982909 | + | 0.184089i | \(0.941066\pi\) | |||||||
\(572\) | 2.84200 | + | 3.24036i | 0.118830 | + | 0.135486i | ||||
\(573\) | 26.2453i | 1.09641i | ||||||||
\(574\) | −33.7348 | + | 9.25343i | −1.40806 | + | 0.386231i | ||||
\(575\) | −4.90699 | + | 43.8503i | −0.204636 | + | 1.82869i | ||||
\(576\) | 1.60366 | − | 3.25312i | 0.0668193 | − | 0.135547i | ||||
\(577\) | 10.1101 | − | 17.5112i | 0.420889 | − | 0.729001i | −0.575137 | − | 0.818057i | \(-0.695051\pi\) |
0.996027 | + | 0.0890553i | \(0.0283848\pi\) | |||||||
\(578\) | 3.22035 | + | 8.55564i | 0.133949 | + | 0.355868i | ||||
\(579\) | −13.1955 | + | 7.61844i | −0.548387 | + | 0.316611i | ||||
\(580\) | −11.3438 | − | 8.52948i | −0.471027 | − | 0.354167i | ||||
\(581\) | −7.30370 | − | 15.8702i | −0.303008 | − | 0.658409i | ||||
\(582\) | −20.2896 | + | 24.7242i | −0.841030 | + | 1.02485i | ||||
\(583\) | 0.0418939 | + | 0.0725624i | 0.00173507 | + | 0.00300523i | ||||
\(584\) | 30.2791 | − | 18.8318i | 1.25296 | − | 0.779267i | ||||
\(585\) | 0.138772 | + | 0.663833i | 0.00573753 | + | 0.0274461i | ||||
\(586\) | 3.07267 | − | 18.6137i | 0.126931 | − | 0.768927i | ||||
\(587\) | 21.6836 | 0.894976 | 0.447488 | − | 0.894290i | \(-0.352319\pi\) | ||||
0.447488 | + | 0.894290i | \(0.352319\pi\) | |||||||
\(588\) | 0.307797 | + | 26.0147i | 0.0126933 | + | 1.07283i | ||||
\(589\) | − | 34.4734i | − | 1.42045i | ||||||
\(590\) | −0.0493828 | + | 0.0313803i | −0.00203306 | + | 0.00129191i | ||||
\(591\) | −6.16188 | + | 10.6727i | −0.253466 | + | 0.439016i | ||||
\(592\) | −1.20923 | + | 9.19200i | −0.0496989 | + | 0.377789i | ||||
\(593\) | 14.9180 | + | 25.8387i | 0.612609 | + | 1.06107i | 0.990799 | + | 0.135342i | \(0.0432133\pi\) |
−0.378190 | + | 0.925728i | \(0.623453\pi\) | |||||||
\(594\) | 13.6770 | − | 16.6663i | 0.561174 | − | 0.683827i | ||||
\(595\) | −7.65103 | + | 17.6130i | −0.313662 | + | 0.722062i | ||||
\(596\) | −4.86942 | + | 0.968838i | −0.199459 | + | 0.0396852i | ||||
\(597\) | 3.31044 | + | 5.73384i | 0.135487 | + | 0.234671i | ||||
\(598\) | 7.81380 | − | 2.94113i | 0.319530 | − | 0.120272i | ||||
\(599\) | −6.90813 | − | 3.98841i | −0.282259 | − | 0.162962i | 0.352187 | − | 0.935930i | \(-0.385438\pi\) |
−0.634445 | + | 0.772968i | \(0.718771\pi\) | |||||||
\(600\) | −26.1994 | − | 2.06460i | −1.06959 | − | 0.0842869i | ||||
\(601\) | − | 42.8990i | − | 1.74989i | −0.484224 | − | 0.874944i | \(-0.660898\pi\) | ||
0.484224 | − | 0.874944i | \(-0.339102\pi\) | |||||||
\(602\) | 24.7004 | − | 6.77531i | 1.00671 | − | 0.276141i | ||||
\(603\) | − | 2.17002i | − | 0.0883702i | ||||||
\(604\) | −3.63857 | − | 4.14858i | −0.148051 | − | 0.168803i | ||||
\(605\) | −1.36289 | + | 0.284909i | −0.0554094 | + | 0.0115832i | ||||
\(606\) | −13.0844 | − | 34.7619i | −0.531519 | − | 1.41211i | ||||
\(607\) | 24.6567 | − | 14.2355i | 1.00078 | − | 0.577802i | 0.0923032 | − | 0.995731i | \(-0.470577\pi\) |
0.908480 | + | 0.417929i | \(0.137244\pi\) | |||||||
\(608\) | −36.0713 | − | 10.9372i | −1.46288 | − | 0.443564i | ||||
\(609\) | 1.43791 | − | 15.5371i | 0.0582670 | − | 0.629596i | ||||
\(610\) | −5.67328 | + | 0.241144i | −0.229705 | + | 0.00976364i | ||||
\(611\) | −1.20820 | − | 2.09266i | −0.0488783 | − | 0.0846598i | ||||
\(612\) | 2.78701 | + | 0.945909i | 0.112658 | + | 0.0382361i | ||||
\(613\) | −13.6922 | + | 23.7156i | −0.553022 | + | 0.957863i | 0.445032 | + | 0.895515i | \(0.353192\pi\) |
−0.998054 | + | 0.0623483i | \(0.980141\pi\) | |||||||
\(614\) | −21.6463 | − | 3.57327i | −0.873572 | − | 0.144205i | ||||
\(615\) | 28.9571 | − | 25.8975i | 1.16766 | − | 1.04429i | ||||
\(616\) | −20.1235 | − | 13.2731i | −0.810798 | − | 0.534790i | ||||
\(617\) | − | 26.4349i | − | 1.06423i | −0.846673 | − | 0.532114i | \(-0.821398\pi\) | ||
0.846673 | − | 0.532114i | \(-0.178602\pi\) | |||||||
\(618\) | −0.214293 | + | 1.29816i | −0.00862015 | + | 0.0522195i | ||||
\(619\) | −6.44010 | − | 3.71819i | −0.258850 | − | 0.149447i | 0.364960 | − | 0.931023i | \(-0.381083\pi\) |
−0.623810 | + | 0.781576i | \(0.714416\pi\) | |||||||
\(620\) | −9.06290 | − | 21.2885i | −0.363975 | − | 0.854968i | ||||
\(621\) | −20.8816 | − | 36.1679i | −0.837949 | − | 1.45137i | ||||
\(622\) | −8.23341 | + | 10.0329i | −0.330130 | + | 0.402285i | ||||
\(623\) | 3.28377 | + | 2.32396i | 0.131562 | + | 0.0931076i | ||||
\(624\) | 1.90343 | + | 4.59402i | 0.0761984 | + | 0.183908i | ||||
\(625\) | 7.40519 | + | 23.8781i | 0.296208 | + | 0.955124i | ||||
\(626\) | 16.1501 | + | 42.9065i | 0.645487 | + | 1.71489i | ||||
\(627\) | 34.5446 | + | 19.9443i | 1.37958 | + | 0.796500i | ||||
\(628\) | 6.94130 | + | 7.91425i | 0.276988 | + | 0.315813i | ||||
\(629\) | −7.52335 | −0.299976 | ||||||||
\(630\) | −1.73067 | − | 3.37529i | −0.0689517 | − | 0.134475i | ||||
\(631\) | − | 23.0524i | − | 0.917701i | −0.888514 | − | 0.458850i | \(-0.848261\pi\) | ||
0.888514 | − | 0.458850i | \(-0.151739\pi\) | |||||||
\(632\) | 44.1671 | − | 1.44915i | 1.75687 | − | 0.0576443i | ||||
\(633\) | −12.5985 | + | 21.8212i | −0.500744 | + | 0.867315i | ||||
\(634\) | 0.205237 | + | 0.545260i | 0.00815098 | + | 0.0216550i | ||||
\(635\) | −3.87209 | + | 11.7822i | −0.153659 | + | 0.467564i | ||||
\(636\) | 0.0188640 | + | 0.0948111i | 0.000748005 | + | 0.00375950i | ||||
\(637\) | −3.55690 | − | 3.04593i | −0.140929 | − | 0.120684i | ||||
\(638\) | 11.1764 | + | 9.17181i | 0.442480 | + | 0.363115i | ||||
\(639\) | −3.19437 | + | 1.84427i | −0.126367 | + | 0.0729581i | ||||
\(640\) | −25.1506 | + | 2.72885i | −0.994165 | + | 0.107867i | ||||
\(641\) | 4.04336 | − | 7.00330i | 0.159703 | − | 0.276614i | −0.775059 | − | 0.631889i | \(-0.782280\pi\) |
0.934762 | + | 0.355276i | \(0.115613\pi\) | |||||||
\(642\) | −7.94030 | + | 48.1011i | −0.313379 | + | 1.89840i | ||||
\(643\) | −22.3144 | −0.879995 | −0.439998 | − | 0.897999i | \(-0.645021\pi\) | ||||
−0.439998 | + | 0.897999i | \(0.645021\pi\) | |||||||
\(644\) | −37.7949 | + | 27.4247i | −1.48933 | + | 1.08068i | ||||
\(645\) | −21.2023 | + | 18.9620i | −0.834838 | + | 0.746628i | ||||
\(646\) | 4.98173 | − | 30.1785i | 0.196003 | − | 1.18736i | ||||
\(647\) | −1.37529 | − | 0.794021i | −0.0540681 | − | 0.0312162i | 0.472722 | − | 0.881211i | \(-0.343271\pi\) |
−0.526790 | + | 0.849995i | \(0.676605\pi\) | |||||||
\(648\) | 24.3892 | − | 15.1687i | 0.958097 | − | 0.595881i | ||||
\(649\) | 0.0516180 | − | 0.0298017i | 0.00202618 | − | 0.00116982i | ||||
\(650\) | 3.38890 | − | 3.30033i | 0.132923 | − | 0.129449i | ||||
\(651\) | 14.6945 | − | 20.7635i | 0.575924 | − | 0.813784i | ||||
\(652\) | −8.43857 | + | 1.67897i | −0.330480 | + | 0.0657535i | ||||
\(653\) | 22.2296 | + | 38.5028i | 0.869912 | + | 1.50673i | 0.862086 | + | 0.506762i | \(0.169158\pi\) |
0.00782554 | + | 0.999969i | \(0.497509\pi\) | |||||||
\(654\) | 11.1602 | − | 4.20071i | 0.436398 | − | 0.164261i | ||||
\(655\) | 0.738395 | + | 3.53219i | 0.0288515 | + | 0.138014i | ||||
\(656\) | 22.7624 | − | 29.6706i | 0.888721 | − | 1.15844i | ||||
\(657\) | −5.71550 | −0.222983 | ||||||||
\(658\) | 9.61294 | + | 9.49988i | 0.374752 | + | 0.370344i | ||||
\(659\) | 6.14200 | 0.239259 | 0.119629 | − | 0.992819i | \(-0.461829\pi\) | ||||
0.119629 | + | 0.992819i | \(0.461829\pi\) | |||||||
\(660\) | 26.5757 | + | 3.23470i | 1.03446 | + | 0.125910i | ||||
\(661\) | 4.19173 | − | 7.26029i | 0.163039 | − | 0.282393i | −0.772918 | − | 0.634506i | \(-0.781204\pi\) |
0.935957 | + | 0.352114i | \(0.114537\pi\) | |||||||
\(662\) | 14.6736 | + | 38.9839i | 0.570306 | + | 1.51515i | ||||
\(663\) | −3.49463 | + | 2.01762i | −0.135720 | + | 0.0783581i | ||||
\(664\) | 16.4718 | + | 8.80280i | 0.639230 | + | 0.341615i | ||||
\(665\) | −31.6801 | + | 23.4591i | −1.22850 | + | 0.909706i | ||||
\(666\) | 0.942724 | − | 1.14877i | 0.0365298 | − | 0.0445139i | ||||
\(667\) | 24.2543 | − | 14.0032i | 0.939128 | − | 0.542206i | ||||
\(668\) | 2.49466 | − | 7.35023i | 0.0965214 | − | 0.284389i | ||||
\(669\) | 28.2030 | + | 16.2830i | 1.09039 | + | 0.629538i | ||||
\(670\) | −12.7751 | + | 8.11794i | −0.493545 | + | 0.313623i | ||||
\(671\) | 5.78454 | 0.223310 | ||||||||
\(672\) | −17.0638 | − | 21.9632i | −0.658250 | − | 0.847248i | ||||
\(673\) | 5.56001i | 0.214323i | 0.994242 | + | 0.107161i | \(0.0341761\pi\) | ||||
−0.994242 | + | 0.107161i | \(0.965824\pi\) | |||||||
\(674\) | −0.167404 | + | 1.01411i | −0.00644817 | + | 0.0390620i | ||||
\(675\) | −19.0494 | − | 14.0367i | −0.733210 | − | 0.540273i | ||||
\(676\) | 23.7730 | + | 8.06854i | 0.914347 | + | 0.310329i | ||||
\(677\) | −13.5074 | + | 7.79851i | −0.519132 | + | 0.299721i | −0.736579 | − | 0.676351i | \(-0.763560\pi\) |
0.217447 | + | 0.976072i | \(0.430227\pi\) | |||||||
\(678\) | 14.1126 | + | 11.5813i | 0.541992 | + | 0.444779i | ||||
\(679\) | 13.4612 | + | 29.2500i | 0.516594 | + | 1.12251i | ||||
\(680\) | −4.85741 | − | 19.9460i | −0.186273 | − | 0.764892i | ||||
\(681\) | −10.1755 | − | 17.6245i | −0.389926 | − | 0.675371i | ||||
\(682\) | 8.30302 | + | 22.0589i | 0.317939 | + | 0.844681i | ||||
\(683\) | 13.9790 | + | 8.07076i | 0.534890 | + | 0.308819i | 0.743006 | − | 0.669285i | \(-0.233400\pi\) |
−0.208115 | + | 0.978104i | \(0.566733\pi\) | |||||||
\(684\) | 3.98383 | + | 4.54224i | 0.152326 | + | 0.173677i | ||||
\(685\) | −13.9638 | + | 12.4883i | −0.533529 | + | 0.477155i | ||||
\(686\) | 23.6919 | + | 11.1667i | 0.904559 | + | 0.426348i | ||||
\(687\) | 34.7574 | 1.32608 | ||||||||
\(688\) | −16.6665 | + | 21.7246i | −0.635404 | + | 0.828244i | ||||
\(689\) | −0.0150689 | − | 0.00870005i | −0.000574081 | − | 0.000331446i | ||||
\(690\) | 23.9990 | − | 45.9721i | 0.913626 | − | 1.75013i | ||||
\(691\) | 12.5750 | − | 7.26020i | 0.478377 | − | 0.276191i | −0.241363 | − | 0.970435i | \(-0.577594\pi\) |
0.719740 | + | 0.694244i | \(0.244261\pi\) | |||||||
\(692\) | 32.6080 | − | 6.48780i | 1.23957 | − | 0.246629i | ||||
\(693\) | 1.61541 | + | 3.51014i | 0.0613645 | + | 0.133339i | ||||
\(694\) | −18.1783 | − | 14.9178i | −0.690040 | − | 0.566273i | ||||
\(695\) | 21.5156 | + | 7.07086i | 0.816135 | + | 0.268213i | ||||
\(696\) | 8.80967 | + | 14.1648i | 0.333930 | + | 0.536914i | ||||
\(697\) | 26.2804 | + | 15.1730i | 0.995442 | + | 0.574719i | ||||
\(698\) | −46.5243 | − | 7.68001i | −1.76097 | − | 0.290693i | ||||
\(699\) | − | 7.94737i | − | 0.300597i | ||||||
\(700\) | −13.3962 | + | 22.8154i | −0.506330 | + | 0.862340i | ||||
\(701\) | 50.0391i | 1.88995i | 0.327140 | + | 0.944976i | \(0.393915\pi\) | ||||
−0.327140 | + | 0.944976i | \(0.606085\pi\) | |||||||
\(702\) | −0.729224 | + | 4.41752i | −0.0275228 | + | 0.166729i | ||||
\(703\) | −13.3749 | − | 7.72203i | −0.504446 | − | 0.291242i | ||||
\(704\) | 25.7157 | − | 1.68932i | 0.969195 | − | 0.0636685i | ||||
\(705\) | −14.2590 | − | 4.68606i | −0.537025 | − | 0.176487i | ||||
\(706\) | 7.62841 | − | 9.29572i | 0.287099 | − | 0.349849i | ||||
\(707\) | −37.2337 | − | 3.44586i | −1.40032 | − | 0.129595i | ||||
\(708\) | 0.0674449 | − | 0.0134191i | 0.00253473 | − | 0.000504320i | ||||
\(709\) | −24.6072 | + | 14.2069i | −0.924141 | + | 0.533553i | −0.884954 | − | 0.465679i | \(-0.845810\pi\) |
−0.0391872 | + | 0.999232i | \(0.512477\pi\) | |||||||
\(710\) | 22.8073 | + | 11.9062i | 0.855943 | + | 0.446831i | ||||
\(711\) | −6.13432 | − | 3.54165i | −0.230055 | − | 0.132822i | ||||
\(712\) | −4.29838 | + | 0.141033i | −0.161089 | + | 0.00528543i | ||||
\(713\) | 45.6567 | 1.70986 | ||||||||
\(714\) | 15.8643 | − | 16.0531i | 0.593707 | − | 0.600773i | ||||
\(715\) | −3.59190 | + | 3.21237i | −0.134329 | + | 0.120136i | ||||
\(716\) | 23.9354 | − | 20.9929i | 0.894507 | − | 0.784540i | ||||
\(717\) | −40.4051 | − | 23.3279i | −1.50896 | − | 0.871197i | ||||
\(718\) | −43.1450 | + | 16.2398i | −1.61016 | + | 0.606065i | ||||
\(719\) | 6.99938 | + | 12.1233i | 0.261033 | + | 0.452122i | 0.966517 | − | 0.256604i | \(-0.0826036\pi\) |
−0.705484 | + | 0.708726i | \(0.749270\pi\) | |||||||
\(720\) | 3.65429 | + | 1.75766i | 0.136187 | + | 0.0655040i | ||||
\(721\) | 1.08121 | + | 0.765181i | 0.0402662 | + | 0.0284968i | ||||
\(722\) | 22.7863 | − | 27.7665i | 0.848017 | − | 1.03336i | ||||
\(723\) | 3.15559 | − | 1.82188i | 0.117358 | − | 0.0677564i | ||||
\(724\) | 14.2097 | + | 4.82275i | 0.528098 | + | 0.179236i | ||||
\(725\) | 9.41303 | − | 12.7745i | 0.349591 | − | 0.474433i | ||||
\(726\) | 1.61459 | + | 0.266529i | 0.0599230 | + | 0.00989182i | ||||
\(727\) | − | 27.8172i | − | 1.03168i | −0.856684 | − | 0.515842i | \(-0.827479\pi\) | ||
0.856684 | − | 0.515842i | \(-0.172521\pi\) | |||||||
\(728\) | 4.99734 | + | 0.297618i | 0.185214 | + | 0.0110304i | ||||
\(729\) | 21.7797 | 0.806654 | ||||||||
\(730\) | 21.3814 | + | 33.6476i | 0.791360 | + | 1.24535i | ||||
\(731\) | −19.2424 | − | 11.1096i | −0.711705 | − | 0.410903i | ||||
\(732\) | 6.31979 | + | 2.14493i | 0.233586 | + | 0.0792790i | ||||
\(733\) | 40.1317 | − | 23.1700i | 1.48230 | − | 0.855804i | 0.482498 | − | 0.875897i | \(-0.339729\pi\) |
0.999798 | + | 0.0200925i | \(0.00639608\pi\) | |||||||
\(734\) | 3.81702 | + | 3.13239i | 0.140889 | + | 0.115618i | ||||
\(735\) | −29.0806 | + | 0.625674i | −1.07266 | + | 0.0230783i | ||||
\(736\) | 14.4853 | − | 47.7729i | 0.533936 | − | 1.76093i | ||||
\(737\) | 13.3533 | − | 7.70955i | 0.491877 | − | 0.283985i | ||||
\(738\) | −5.60993 | + | 2.11159i | −0.206504 | + | 0.0777286i | ||||
\(739\) | −4.81690 | + | 8.34311i | −0.177192 | + | 0.306906i | −0.940918 | − | 0.338635i | \(-0.890035\pi\) |
0.763725 | + | 0.645541i | \(0.223368\pi\) | |||||||
\(740\) | −10.2896 | − | 1.25241i | −0.378252 | − | 0.0460394i | ||||
\(741\) | −8.28362 | −0.304307 | ||||||||
\(742\) | 0.0941513 | + | 0.0246318i | 0.00345640 | + | 0.000904260i | ||||
\(743\) | −32.6002 | −1.19599 | −0.597993 | − | 0.801501i | \(-0.704035\pi\) | ||||
−0.597993 | + | 0.801501i | \(0.704035\pi\) | |||||||
\(744\) | 0.891758 | + | 27.1789i | 0.0326934 | + | 0.996426i | ||||
\(745\) | −1.13585 | − | 5.43344i | −0.0416142 | − | 0.199066i | ||||
\(746\) | −12.1454 | − | 32.2672i | −0.444675 | − | 1.18139i | ||||
\(747\) | −1.49681 | − | 2.59255i | −0.0547655 | − | 0.0948566i | ||||
\(748\) | 4.08086 | + | 20.5106i | 0.149211 | + | 0.749941i | ||||
\(749\) | 40.0623 | + | 28.3526i | 1.46385 | + | 1.03598i | ||||
\(750\) | 2.02462 | − | 29.3128i | 0.0739287 | − | 1.07035i | ||||
\(751\) | 4.64496 | − | 2.68177i | 0.169497 | − | 0.0978591i | −0.412852 | − | 0.910798i | \(-0.635467\pi\) |
0.582349 | + | 0.812939i | \(0.302134\pi\) | |||||||
\(752\) | −14.3248 | − | 1.88445i | −0.522370 | − | 0.0687189i | ||||
\(753\) | −16.5306 | − | 9.54396i | −0.602409 | − | 0.347801i | ||||
\(754\) | −2.96239 | − | 0.489018i | −0.107884 | − | 0.0178090i | ||||
\(755\) | 4.59865 | − | 4.11275i | 0.167362 | − | 0.149678i | ||||
\(756\) | −2.60253 | − | 24.9063i | −0.0946530 | − | 0.905833i | ||||
\(757\) | 14.4301 | 0.524470 | 0.262235 | − | 0.965004i | \(-0.415540\pi\) | ||||
0.262235 | + | 0.965004i | \(0.415540\pi\) | |||||||
\(758\) | −47.0089 | − | 7.76001i | −1.70744 | − | 0.281856i | ||||
\(759\) | −26.4143 | + | 45.7509i | −0.958778 | + | 1.66065i | ||||
\(760\) | 11.8372 | − | 40.4454i | 0.429382 | − | 1.46711i | ||||
\(761\) | −14.5866 | + | 8.42159i | −0.528765 | + | 0.305283i | −0.740513 | − | 0.672042i | \(-0.765418\pi\) |
0.211748 | + | 0.977324i | \(0.432084\pi\) | |||||||
\(762\) | 9.24687 | − | 11.2679i | 0.334979 | − | 0.408193i | ||||
\(763\) | 1.10628 | − | 11.9537i | 0.0400500 | − | 0.432755i | ||||
\(764\) | −27.7032 | + | 5.51193i | −1.00227 | + | 0.199415i | ||||
\(765\) | −1.02734 | + | 3.12606i | −0.0371437 | + | 0.113023i | ||||
\(766\) | 19.5572 | − | 7.36136i | 0.706630 | − | 0.265977i | ||||
\(767\) | −0.00618888 | + | 0.0107195i | −0.000223467 | + | 0.000387057i | ||||
\(768\) | 28.7216 | + | 7.68984i | 1.03640 | + | 0.277483i | ||||
\(769\) | − | 53.2864i | − | 1.92156i | −0.277315 | − | 0.960779i | \(-0.589445\pi\) | ||
0.277315 | − | 0.960779i | \(-0.410555\pi\) | |||||||
\(770\) | 14.6213 | − | 22.6413i | 0.526916 | − | 0.815937i | ||||
\(771\) | 16.4577 | 0.592708 | ||||||||
\(772\) | −10.8129 | − | 12.3285i | −0.389165 | − | 0.443713i | ||||
\(773\) | 0.228998 | + | 0.132212i | 0.00823647 | + | 0.00475533i | 0.504113 | − | 0.863638i | \(-0.331820\pi\) |
−0.495876 | + | 0.868393i | \(0.665153\pi\) | |||||||
\(774\) | 4.10756 | − | 1.54609i | 0.147643 | − | 0.0555731i | ||||
\(775\) | 23.7021 | − | 10.3626i | 0.851404 | − | 0.372235i | ||||
\(776\) | −30.3587 | − | 16.2242i | −1.08981 | − | 0.582414i | ||||
\(777\) | −4.76421 | − | 10.3522i | −0.170915 | − | 0.371382i | ||||
\(778\) | 0.225030 | + | 0.184668i | 0.00806770 | + | 0.00662066i | ||||
\(779\) | 31.1474 | + | 53.9489i | 1.11597 | + | 1.93292i | ||||
\(780\) | −5.11542 | + | 2.17773i | −0.183162 | + | 0.0779751i | ||||
\(781\) | −22.6976 | − | 13.1045i | −0.812183 | − | 0.468914i | ||||
\(782\) | 39.9685 | + | 6.59781i | 1.42927 | + | 0.235937i | ||||
\(783\) | 15.0190i | 0.536734i | ||||||||
\(784\) | −27.3952 | + | 5.78840i | −0.978398 | + | 0.206728i | ||||
\(785\) | −8.77286 | + | 7.84590i | −0.313117 | + | 0.280032i | ||||
\(786\) | 0.690760 | − | 4.18452i | 0.0246386 | − | 0.149257i | ||||
\(787\) | −7.22171 | + | 12.5084i | −0.257426 | + | 0.445875i | −0.965552 | − | 0.260211i | \(-0.916208\pi\) |
0.708126 | + | 0.706087i | \(0.249541\pi\) | |||||||
\(788\) | −12.5596 | − | 4.26273i | −0.447419 | − | 0.151854i | ||||
\(789\) | 11.5435 | + | 19.9939i | 0.410960 | + | 0.711803i | ||||
\(790\) | 2.09816 | + | 49.3624i | 0.0746491 | + | 1.75623i | ||||
\(791\) | 16.6960 | − | 7.68371i | 0.593640 | − | 0.273201i | ||||
\(792\) | −3.64320 | − | 1.94698i | −0.129455 | − | 0.0691830i | ||||
\(793\) | −1.04033 | + | 0.600634i | −0.0369432 | + | 0.0213292i | ||||
\(794\) | −6.71197 | + | 2.52640i | −0.238199 | + | 0.0896585i | ||||
\(795\) | −0.105793 | + | 0.0221157i | −0.00375209 | + | 0.000784364i | ||||
\(796\) | −5.35711 | + | 4.69853i | −0.189878 | + | 0.166535i | ||||
\(797\) | − | 34.3379i | − | 1.21631i | −0.793818 | − | 0.608156i | \(-0.791909\pi\) | ||
0.793818 | − | 0.608156i | \(-0.208091\pi\) | |||||||
\(798\) | 44.6805 | − | 12.2558i | 1.58167 | − | 0.433852i | ||||
\(799\) | − | 11.7244i | − | 0.414778i | ||||||
\(800\) | −3.32301 | − | 28.0884i | −0.117486 | − | 0.993075i | ||||
\(801\) | 0.596997 | + | 0.344676i | 0.0210938 | + | 0.0121785i | ||||
\(802\) | −9.59202 | − | 25.4835i | −0.338706 | − | 0.899853i | ||||
\(803\) | −20.3057 | − | 35.1706i | −0.716574 | − | 1.24114i | ||||
\(804\) | 17.4477 | − | 3.47145i | 0.615332 | − | 0.122429i | ||||
\(805\) | −31.0693 | − | 41.9571i | −1.09505 | − | 1.47879i | ||||
\(806\) | −3.78374 | − | 3.10508i | −0.133277 | − | 0.109372i | ||||
\(807\) | 25.2792 | + | 43.7848i | 0.889870 | + | 1.54130i | ||||
\(808\) | 33.9449 | − | 21.1118i | 1.19418 | − | 0.742711i | ||||
\(809\) | 8.65907 | − | 14.9980i | 0.304437 | − | 0.527300i | −0.672699 | − | 0.739916i | \(-0.734865\pi\) |
0.977136 | + | 0.212616i | \(0.0681984\pi\) | |||||||
\(810\) | 17.2223 | + | 27.1025i | 0.605128 | + | 0.952284i | ||||
\(811\) | 25.3807i | 0.891236i | 0.895223 | + | 0.445618i | \(0.147016\pi\) | ||||
−0.895223 | + | 0.445618i | \(0.852984\pi\) | |||||||
\(812\) | 16.7022 | − | 1.74526i | 0.586131 | − | 0.0612465i | ||||
\(813\) | −19.3185 | −0.677530 | ||||||||
\(814\) | 10.4183 | + | 1.71980i | 0.365160 | + | 0.0602789i | ||||
\(815\) | −1.96839 | − | 9.41600i | −0.0689497 | − | 0.329828i | ||||
\(816\) | −3.14694 | + | 23.9216i | −0.110165 | + | 0.837425i | ||||
\(817\) | −22.8060 | − | 39.5011i | −0.797880 | − | 1.38197i | ||||
\(818\) | −23.9804 | − | 19.6792i | −0.838456 | − | 0.688068i | ||||
\(819\) | −0.655000 | − | 0.463551i | −0.0228875 | − | 0.0161978i | ||||
\(820\) | 33.4175 | + | 25.1268i | 1.16699 | + | 0.877465i | ||||
\(821\) | −20.2636 | + | 11.6992i | −0.707206 | + | 0.408306i | −0.810026 | − | 0.586394i | \(-0.800547\pi\) |
0.102820 | + | 0.994700i | \(0.467214\pi\) | |||||||
\(822\) | 20.6063 | − | 7.75624i | 0.718727 | − | 0.270530i | ||||
\(823\) | 9.67683 | − | 16.7608i | 0.337313 | − | 0.584243i | −0.646613 | − | 0.762818i | \(-0.723815\pi\) |
0.983926 | + | 0.178575i | \(0.0571486\pi\) | |||||||
\(824\) | −1.41527 | + | 0.0464361i | −0.0493033 | + | 0.00161768i | ||||
\(825\) | −3.32870 | + | 29.7462i | −0.115890 | + | 1.03563i | ||||
\(826\) | 0.0175221 | − | 0.0669755i | 0.000609671 | − | 0.00233038i | ||||
\(827\) | − | 29.0919i | − | 1.01162i | −0.862644 | − | 0.505812i | \(-0.831193\pi\) | ||
0.862644 | − | 0.505812i | \(-0.168807\pi\) | |||||||
\(828\) | −6.01575 | + | 5.27620i | −0.209062 | + | 0.183360i | ||||
\(829\) | −13.3551 | + | 23.1317i | −0.463841 | + | 0.803397i | −0.999148 | − | 0.0412606i | \(-0.986863\pi\) |
0.535307 | + | 0.844658i | \(0.320196\pi\) | |||||||
\(830\) | −9.66309 | + | 18.5105i | −0.335411 | + | 0.642507i | ||||
\(831\) | 18.9813 | + | 32.8765i | 0.658453 | + | 1.14047i | ||||
\(832\) | −4.44946 | + | 2.97399i | −0.154257 | + | 0.103104i | ||||
\(833\) | −7.55651 | − | 21.4280i | −0.261817 | − | 0.742435i | ||||
\(834\) | −20.5764 | − | 16.8858i | −0.712504 | − | 0.584707i | ||||
\(835\) | 8.24442 | + | 2.70943i | 0.285310 | + | 0.0937638i | ||||
\(836\) | −13.7973 | + | 40.6521i | −0.477190 | + | 1.40598i | ||||
\(837\) | −12.2421 | + | 21.2040i | −0.423150 | + | 0.732917i | ||||
\(838\) | 4.69472 | − | 28.4399i | 0.162176 | − | 0.982439i | ||||
\(839\) | −24.7914 | −0.855896 | −0.427948 | − | 0.903803i | \(-0.640763\pi\) | ||||
−0.427948 | + | 0.903803i | \(0.640763\pi\) | |||||||
\(840\) | 24.3697 | − | 19.3147i | 0.840836 | − | 0.666421i | ||||
\(841\) | 18.9283 | 0.652699 | ||||||||
\(842\) | −4.90352 | + | 29.7047i | −0.168986 | + | 1.02369i | ||||
\(843\) | −28.9580 | + | 50.1568i | −0.997367 | + | 1.72749i | ||||
\(844\) | −25.6792 | − | 8.71551i | −0.883915 | − | 0.300000i | ||||
\(845\) | −8.76318 | + | 26.6651i | −0.301463 | + | 0.917308i | ||||
\(846\) | 1.79024 | + | 1.46914i | 0.0615496 | + | 0.0505099i | ||||
\(847\) | 0.951699 | − | 1.34476i | 0.0327008 | − | 0.0462064i | ||||
\(848\) | −0.0961160 | + | 0.0398237i | −0.00330064 | + | 0.00136755i | ||||
\(849\) | 13.1798 | + | 22.8281i | 0.452330 | + | 0.783459i | ||||
\(850\) | 22.2466 | − | 5.64637i | 0.763053 | − | 0.193669i | ||||
\(851\) | 10.2271 | − | 17.7138i | 0.350579 | − | 0.607221i | ||||
\(852\) | −19.9386 | − | 22.7334i | −0.683086 | − | 0.778833i | ||||
\(853\) | − | 50.6858i | − | 1.73545i | −0.497047 | − | 0.867724i | \(-0.665582\pi\) | ||
0.497047 | − | 0.867724i | \(-0.334418\pi\) | |||||||
\(854\) | 4.72271 | − | 4.77892i | 0.161608 | − | 0.163531i | ||||
\(855\) | −5.03502 | + | 4.50301i | −0.172194 | + | 0.154000i | ||||
\(856\) | −52.4406 | + | 1.72061i | −1.79238 | + | 0.0588094i | ||||
\(857\) | −10.5812 | + | 18.3272i | −0.361448 | + | 0.626047i | −0.988199 | − | 0.153173i | \(-0.951051\pi\) |
0.626751 | + | 0.779219i | \(0.284384\pi\) | |||||||
\(858\) | 5.30055 | − | 1.99513i | 0.180958 | − | 0.0681128i | ||||
\(859\) | 2.47660 | − | 1.42986i | 0.0845003 | − | 0.0487863i | −0.457154 | − | 0.889387i | \(-0.651131\pi\) |
0.541655 | + | 0.840601i | \(0.317798\pi\) | |||||||
\(860\) | −24.4681 | − | 18.3977i | −0.834356 | − | 0.627356i | ||||
\(861\) | −4.23590 | + | 45.7704i | −0.144359 | + | 1.55985i | ||||
\(862\) | 23.6346 | + | 19.3954i | 0.804997 | + | 0.660611i | ||||
\(863\) | −6.07596 | − | 10.5239i | −0.206828 | − | 0.358237i | 0.743886 | − | 0.668307i | \(-0.232981\pi\) |
−0.950714 | + | 0.310070i | \(0.899647\pi\) | |||||||
\(864\) | 18.3028 | + | 19.5369i | 0.622674 | + | 0.664657i | ||||
\(865\) | 7.60616 | + | 36.3849i | 0.258617 | + | 1.23712i | ||||
\(866\) | −41.5904 | − | 6.86555i | −1.41330 | − | 0.233301i | ||||
\(867\) | 12.0124 | 0.407963 | ||||||||
\(868\) | 25.0029 | + | 11.1501i | 0.848655 | + | 0.378461i | ||||
\(869\) | − | 50.3304i | − | 1.70734i | ||||||
\(870\) | −15.7406 | + | 10.0024i | −0.533656 | + | 0.339112i | ||||
\(871\) | −1.60103 | + | 2.77307i | −0.0542489 | + | 0.0939619i | ||||
\(872\) | 6.77787 | + | 10.8979i | 0.229528 | + | 0.369050i | ||||
\(873\) | 2.75873 | + | 4.77826i | 0.0933688 | + | 0.161720i | ||||
\(874\) | 64.2836 | + | 52.7535i | 2.17442 | + | 1.78441i | ||||
\(875\) | −25.6522 | − | 14.7298i | −0.867201 | − | 0.497958i | ||||
\(876\) | −9.14326 | − | 45.9544i | −0.308922 | − | 1.55266i | ||||
\(877\) | −16.6594 | − | 28.8550i | −0.562549 | − | 0.974363i | −0.997273 | − | 0.0737992i | \(-0.976488\pi\) |
0.434725 | − | 0.900563i | \(-0.356846\pi\) | |||||||
\(878\) | 14.9212 | + | 39.6418i | 0.503567 | + | 1.33785i | ||||
\(879\) | −21.4688 | − | 12.3950i | −0.724126 | − | 0.418074i | ||||
\(880\) | 2.16695 | + | 28.7313i | 0.0730478 | + | 0.968533i | ||||
\(881\) | 19.5712i | 0.659372i | 0.944091 | + | 0.329686i | \(0.106943\pi\) | ||||
−0.944091 | + | 0.329686i | \(0.893057\pi\) | |||||||
\(882\) | 4.21880 | + | 1.53123i | 0.142054 | + | 0.0515591i | ||||
\(883\) | 42.7210i | 1.43768i | 0.695178 | + | 0.718838i | \(0.255325\pi\) | ||||
−0.695178 | + | 0.718838i | \(0.744675\pi\) | |||||||
\(884\) | −2.86363 | − | 3.26502i | −0.0963143 | − | 0.109814i | ||||
\(885\) | 0.0157323 | + | 0.0752569i | 0.000528834 | + | 0.00252973i | ||||
\(886\) | 49.0793 | − | 18.4735i | 1.64885 | − | 0.620630i | ||||
\(887\) | 3.02603 | − | 1.74708i | 0.101604 | − | 0.0586613i | −0.448337 | − | 0.893865i | \(-0.647983\pi\) |
0.549941 | + | 0.835203i | \(0.314650\pi\) | |||||||
\(888\) | 10.7446 | + | 5.74207i | 0.360564 | + | 0.192691i | ||||
\(889\) | −6.13489 | − | 13.3305i | −0.205757 | − | 0.447091i | ||||
\(890\) | −0.204194 | − | 4.80398i | −0.00684461 | − | 0.161030i | ||||
\(891\) | −16.3559 | − | 28.3292i | −0.547942 | − | 0.949064i | ||||
\(892\) | −11.2644 | + | 33.1894i | −0.377162 | + | 1.11126i | ||||
\(893\) | 12.0340 | − | 20.8434i | 0.402701 | − | 0.697499i | ||||
\(894\) | −1.06257 | + | 6.43689i | −0.0355377 | + | 0.215282i | ||||
\(895\) | 23.7287 | + | 26.5321i | 0.793162 | + | 0.886870i | ||||
\(896\) | 19.5995 | − | 22.6243i | 0.654775 | − | 0.755824i | ||||
\(897\) | − | 10.9708i | − | 0.366306i | ||||||
\(898\) | 23.9969 | + | 3.96130i | 0.800788 | + | 0.132190i | ||||
\(899\) | −14.2194 | − | 8.20958i | −0.474244 | − | 0.273805i | ||||
\(900\) | −1.92548 | + | 4.10445i | −0.0641826 | + | 0.136815i | ||||
\(901\) | −0.0422128 | − | 0.0731146i | −0.00140631 | − | 0.00243580i | ||||
\(902\) | −32.9244 | − | 27.0190i | −1.09626 | − | 0.899635i | ||||
\(903\) | 3.10150 | − | 33.5128i | 0.103212 | − | 1.11524i | ||||
\(904\) | −9.26081 | + | 17.3288i | −0.308010 | + | 0.576348i | ||||
\(905\) | −5.23795 | + | 15.9383i | −0.174115 | + | 0.529808i | ||||
\(906\) | −6.78621 | + | 2.55434i | −0.225457 | + | 0.0848622i | ||||
\(907\) | −18.3487 | − | 10.5936i | −0.609258 | − | 0.351755i | 0.163417 | − | 0.986557i | \(-0.447748\pi\) |
−0.772675 | + | 0.634802i | \(0.781082\pi\) | |||||||
\(908\) | 16.4665 | − | 14.4422i | 0.546459 | − | 0.479280i | ||||
\(909\) | −6.40748 | −0.212523 | ||||||||
\(910\) | −0.278644 | + | 5.59016i | −0.00923696 | + | 0.185312i | ||||
\(911\) | 14.1566i | 0.469030i | 0.972112 | + | 0.234515i | \(0.0753502\pi\) | ||||
−0.972112 | + | 0.234515i | \(0.924650\pi\) | |||||||
\(912\) | −30.1480 | + | 39.2976i | −0.998299 | + | 1.30127i | ||||
\(913\) | 10.6356 | − | 18.4214i | 0.351987 | − | 0.609659i | ||||
\(914\) | 13.0621 | − | 4.91660i | 0.432056 | − | 0.162627i | ||||
\(915\) | −2.32960 | + | 7.08863i | −0.0770140 | + | 0.234343i | ||||
\(916\) | 7.29960 | + | 36.6881i | 0.241186 | + | 1.21221i | ||||
\(917\) | −3.48519 | − | 2.46651i | −0.115091 | − | 0.0814513i | ||||
\(918\) | −13.7811 | + | 16.7932i | −0.454844 | + | 0.554257i | ||||
\(919\) | −25.4716 | + | 14.7060i | −0.840230 | + | 0.485107i | −0.857342 | − | 0.514746i | \(-0.827886\pi\) |
0.0171122 | + | 0.999854i | \(0.494553\pi\) | |||||||
\(920\) | 53.5660 | + | 15.6773i | 1.76602 | + | 0.516864i | ||||
\(921\) | −14.4144 | + | 24.9665i | −0.474972 | + | 0.822675i | ||||
\(922\) | −26.5718 | − | 4.38635i | −0.875095 | − | 0.144457i | ||||
\(923\) | 5.44277 | 0.179151 | ||||||||
\(924\) | −25.6384 | + | 18.6037i | −0.843442 | + | 0.612018i | ||||
\(925\) | 1.28880 | − | 11.5171i | 0.0423755 | − | 0.378680i | ||||
\(926\) | 21.7623 | + | 3.59241i | 0.715152 | + | 0.118054i | ||||
\(927\) | 0.196565 | + | 0.113487i | 0.00645606 | + | 0.00372741i | ||||
\(928\) | −13.1014 | + | 12.2739i | −0.430076 | + | 0.402909i | ||||
\(929\) | 16.8894 | − | 9.75112i | 0.554125 | − | 0.319924i | −0.196659 | − | 0.980472i | \(-0.563009\pi\) |
0.750784 | + | 0.660548i | \(0.229676\pi\) | |||||||
\(930\) | −30.3758 | + | 1.29113i | −0.996063 | + | 0.0423379i | ||||
\(931\) | 8.55994 | − | 45.8505i | 0.280541 | − | 1.50269i | ||||
\(932\) | 8.38884 | − | 1.66907i | 0.274786 | − | 0.0546724i | ||||
\(933\) | 8.52728 | + | 14.7697i | 0.279171 | + | 0.483538i | ||||
\(934\) | −11.3116 | − | 30.0521i | −0.370128 | − | 0.983334i | ||||
\(935\) | −22.8863 | + | 4.78431i | −0.748461 | + | 0.156464i | ||||
\(936\) | 0.857379 | − | 0.0281312i | 0.0280243 | − | 0.000919497i | ||||
\(937\) | −2.05387 | −0.0670971 | −0.0335485 | − | 0.999437i | \(-0.510681\pi\) | ||||
−0.0335485 | + | 0.999437i | \(0.510681\pi\) | |||||||
\(938\) | 4.53288 | − | 17.3263i | 0.148004 | − | 0.565722i | ||||
\(939\) | 60.2423 | 1.96593 | ||||||||
\(940\) | 1.95174 | − | 16.0352i | 0.0636589 | − | 0.523011i | ||||
\(941\) | 15.1289 | − | 26.2040i | 0.493187 | − | 0.854226i | −0.506782 | − | 0.862074i | \(-0.669165\pi\) |
0.999969 | + | 0.00784879i | \(0.00249837\pi\) | |||||||
\(942\) | 12.9461 | − | 4.87292i | 0.421805 | − | 0.158768i | ||||
\(943\) | −71.4500 | + | 41.2517i | −2.32673 | + | 1.34334i | ||||
\(944\) | 0.0283290 | + | 0.0683732i | 0.000922030 | + | 0.00222536i | ||||
\(945\) | 27.8166 | − | 3.17914i | 0.904874 | − | 0.103418i | ||||
\(946\) | 24.1071 | + | 19.7832i | 0.783789 | + | 0.643207i | ||||
\(947\) | −34.8806 | + | 20.1383i | −1.13347 | + | 0.654407i | −0.944804 | − | 0.327635i | \(-0.893748\pi\) |
−0.188662 | + | 0.982042i | \(0.560415\pi\) | |||||||
\(948\) | 18.6627 | − | 54.9876i | 0.606137 | − | 1.78591i | ||||
\(949\) | 7.30383 | + | 4.21687i | 0.237092 | + | 0.136885i | ||||
\(950\) | 45.3453 | + | 12.7961i | 1.47120 | + | 0.415159i | ||||
\(951\) | 0.765564 | 0.0248251 | ||||||||
\(952\) | 20.2766 | + | 13.3742i | 0.657169 | + | 0.433459i | ||||
\(953\) | − | 45.4230i | − | 1.47140i | −0.677309 | − | 0.735698i | \(-0.736854\pi\) | ||
0.677309 | − | 0.735698i | \(-0.263146\pi\) | |||||||
\(954\) | 0.0164537 | + | 0.00271610i | 0.000532708 | + | 8.79369e-5i | ||||
\(955\) | −6.46208 | − | 30.9120i | −0.209108 | − | 1.00029i | ||||
\(956\) | 16.1380 | − | 47.5488i | 0.521942 | − | 1.53784i | ||||
\(957\) | 16.4531 | − | 9.49917i | 0.531852 | − | 0.307065i | ||||
\(958\) | 30.8906 | − | 37.6422i | 0.998031 | − | 1.21617i | ||||
\(959\) | 2.04265 | − | 22.0715i | 0.0659605 | − | 0.712727i | ||||
\(960\) | −8.28624 | + | 32.1934i | −0.267437 | + | 1.03904i | ||||
\(961\) | 2.11656 | + | 3.66599i | 0.0682761 | + | 0.118258i | ||||
\(962\) | −2.05226 | + | 0.772475i | −0.0661676 | + | 0.0249056i | ||||
\(963\) | 7.28342 | + | 4.20508i | 0.234705 | + | 0.135507i | ||||
\(964\) | 2.58581 | + | 2.94825i | 0.0832832 | + | 0.0949569i | ||||
\(965\) | 13.6660 | − | 12.2221i | 0.439925 | − | 0.393442i | ||||
\(966\) | 16.2317 | + | 59.1749i | 0.522245 | + | 1.90392i | ||||
\(967\) | −52.7807 | −1.69731 | −0.848656 | − | 0.528945i | \(-0.822588\pi\) | ||||
−0.848656 | + | 0.528945i | \(0.822588\pi\) | |||||||
\(968\) | 0.0577551 | + | 1.76025i | 0.00185632 | + | 0.0565767i | ||||
\(969\) | −34.8075 | − | 20.0961i | −1.11818 | − | 0.645580i | ||||
\(970\) | 17.8097 | − | 34.1161i | 0.571837 | − | 1.09540i | ||||
\(971\) | −26.0287 | + | 15.0277i | −0.835300 | + | 0.482261i | −0.855664 | − | 0.517532i | \(-0.826851\pi\) |
0.0203639 | + | 0.999793i | \(0.493518\pi\) | |||||||
\(972\) | −1.82378 | − | 9.16639i | −0.0584977 | − | 0.294012i | ||||
\(973\) | −24.3430 | + | 11.2030i | −0.780400 | + | 0.359151i | ||||
\(974\) | −0.749711 | + | 0.913571i | −0.0240223 | + | 0.0292727i | ||||
\(975\) | −2.49002 | − | 5.69538i | −0.0797446 | − | 0.182398i | ||||
\(976\) | −0.936825 | + | 7.12132i | −0.0299870 | + | 0.227948i | ||||
\(977\) | 36.9900 | + | 21.3562i | 1.18341 | + | 0.683245i | 0.956802 | − | 0.290740i | \(-0.0939015\pi\) |
0.226613 | + | 0.973985i | \(0.427235\pi\) | |||||||
\(978\) | −1.84141 | + | 11.1549i | −0.0588817 | + | 0.356696i | ||||
\(979\) | 4.89820i | 0.156547i | ||||||||
\(980\) | −6.76782 | − | 30.5646i | −0.216190 | − | 0.976351i | ||||
\(981\) | − | 2.05710i | − | 0.0656781i | ||||||
\(982\) | 39.5020 | + | 6.52080i | 1.26056 | + | 0.208087i | ||||
\(983\) | 10.5472 | + | 6.08944i | 0.336404 | + | 0.194223i | 0.658681 | − | 0.752423i | \(-0.271115\pi\) |
−0.322277 | + | 0.946646i | \(0.604448\pi\) | |||||||
\(984\) | −25.9522 | − | 41.7276i | −0.827326 | − | 1.33023i | ||||
\(985\) | 4.62972 | − | 14.0876i | 0.147515 | − | 0.448868i | ||||
\(986\) | −11.2615 | − | 9.24162i | −0.358640 | − | 0.294313i | ||||
\(987\) | 16.1328 | − | 7.42451i | 0.513512 | − | 0.236325i | ||||
\(988\) | −1.73969 | − | 8.74377i | −0.0553470 | − | 0.278176i | ||||
\(989\) | 52.3153 | − | 30.2043i | 1.66353 | − | 0.960440i | ||||
\(990\) | 2.13726 | − | 4.09410i | 0.0679266 | − | 0.130119i | ||||
\(991\) | −16.8998 | − | 9.75712i | −0.536841 | − | 0.309945i | 0.206957 | − | 0.978350i | \(-0.433644\pi\) |
−0.743798 | + | 0.668405i | \(0.766977\pi\) | |||||||
\(992\) | −28.5014 | + | 6.64929i | −0.904919 | + | 0.211115i | ||||
\(993\) | 54.7348 | 1.73696 | ||||||||
\(994\) | −29.3574 | + | 8.05272i | −0.931160 | + | 0.255417i | ||||
\(995\) | −5.31085 | − | 5.93830i | −0.168365 | − | 0.188257i | ||||
\(996\) | 18.4505 | − | 16.1822i | 0.584625 | − | 0.512753i | ||||
\(997\) | 25.7749 | + | 14.8811i | 0.816298 | + | 0.471290i | 0.849138 | − | 0.528171i | \(-0.177122\pi\) |
−0.0328401 | + | 0.999461i | \(0.510455\pi\) | |||||||
\(998\) | 2.19118 | + | 5.82139i | 0.0693606 | + | 0.184273i | ||||
\(999\) | 5.48446 | + | 9.49936i | 0.173521 | + | 0.300547i |
(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 | 280.2.ba.b.59.39 | yes | 80 | |
4.3 | odd | 2 | 1120.2.bq.b.1039.9 | 80 | |||
5.4 | even | 2 | inner | 280.2.ba.b.59.2 | yes | 80 | |
7.5 | odd | 6 | inner | 280.2.ba.b.19.16 | yes | 80 | |
8.3 | odd | 2 | inner | 280.2.ba.b.59.25 | yes | 80 | |
8.5 | even | 2 | 1120.2.bq.b.1039.10 | 80 | |||
20.19 | odd | 2 | 1120.2.bq.b.1039.31 | 80 | |||
28.19 | even | 6 | 1120.2.bq.b.719.32 | 80 | |||
35.19 | odd | 6 | inner | 280.2.ba.b.19.25 | yes | 80 | |
40.19 | odd | 2 | inner | 280.2.ba.b.59.16 | yes | 80 | |
40.29 | even | 2 | 1120.2.bq.b.1039.32 | 80 | |||
56.5 | odd | 6 | 1120.2.bq.b.719.31 | 80 | |||
56.19 | even | 6 | inner | 280.2.ba.b.19.2 | ✓ | 80 | |
140.19 | even | 6 | 1120.2.bq.b.719.10 | 80 | |||
280.19 | even | 6 | inner | 280.2.ba.b.19.39 | yes | 80 | |
280.229 | odd | 6 | 1120.2.bq.b.719.9 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.ba.b.19.2 | ✓ | 80 | 56.19 | even | 6 | inner | |
280.2.ba.b.19.16 | yes | 80 | 7.5 | odd | 6 | inner | |
280.2.ba.b.19.25 | yes | 80 | 35.19 | odd | 6 | inner | |
280.2.ba.b.19.39 | yes | 80 | 280.19 | even | 6 | inner | |
280.2.ba.b.59.2 | yes | 80 | 5.4 | even | 2 | inner | |
280.2.ba.b.59.16 | yes | 80 | 40.19 | odd | 2 | inner | |
280.2.ba.b.59.25 | yes | 80 | 8.3 | odd | 2 | inner | |
280.2.ba.b.59.39 | yes | 80 | 1.1 | even | 1 | trivial | |
1120.2.bq.b.719.9 | 80 | 280.229 | odd | 6 | |||
1120.2.bq.b.719.10 | 80 | 140.19 | even | 6 | |||
1120.2.bq.b.719.31 | 80 | 56.5 | odd | 6 | |||
1120.2.bq.b.719.32 | 80 | 28.19 | even | 6 | |||
1120.2.bq.b.1039.9 | 80 | 4.3 | odd | 2 | |||
1120.2.bq.b.1039.10 | 80 | 8.5 | even | 2 | |||
1120.2.bq.b.1039.31 | 80 | 20.19 | odd | 2 | |||
1120.2.bq.b.1039.32 | 80 | 40.29 | even | 2 |