Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.40 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.40 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.506556 | − | 1.29068i | 0.358189 | − | 0.912651i | −0.632258 | − | 0.774758i | \(-0.717872\pi\) |
0.990447 | − | 0.137893i | \(-0.0440331\pi\) | |||||||
\(3\) | −1.61632 | + | 0.622499i | −0.933184 | + | 0.359400i | ||||
\(4\) | 0.0568376 | + | 0.0527376i | 0.0284188 | + | 0.0263688i | ||||
\(5\) | −3.22413 | + | 1.55266i | −1.44187 | + | 0.694370i | −0.981163 | − | 0.193181i | \(-0.938120\pi\) |
−0.460710 | + | 0.887551i | \(0.652405\pi\) | |||||||
\(6\) | −0.0153087 | + | 2.40149i | −0.00624976 | + | 0.980405i | ||||
\(7\) | −0.247770 | − | 2.63412i | −0.0936483 | − | 0.995605i | ||||
\(8\) | 2.59530 | − | 1.24983i | 0.917577 | − | 0.441882i | ||||
\(9\) | 2.22499 | − | 2.01232i | 0.741664 | − | 0.670772i | ||||
\(10\) | 0.370789 | + | 4.94784i | 0.117254 | + | 1.56464i | ||||
\(11\) | 2.17702 | + | 2.72989i | 0.656396 | + | 0.823094i | 0.992946 | − | 0.118572i | \(-0.0378315\pi\) |
−0.336550 | + | 0.941666i | \(0.609260\pi\) | |||||||
\(12\) | −0.124697 | − | 0.0498596i | −0.0359969 | − | 0.0143932i | ||||
\(13\) | 1.48324 | − | 3.77923i | 0.411377 | − | 1.04817i | −0.563636 | − | 0.826023i | \(-0.690598\pi\) |
0.975013 | − | 0.222148i | \(-0.0713068\pi\) | |||||||
\(14\) | −3.52533 | − | 1.01454i | −0.942184 | − | 0.271147i | ||||
\(15\) | 4.24470 | − | 4.51661i | 1.09598 | − | 1.16618i | ||||
\(16\) | −0.286883 | − | 3.82818i | −0.0717207 | − | 0.957046i | ||||
\(17\) | 3.20104 | − | 2.97013i | 0.776367 | − | 0.720363i | −0.188795 | − | 0.982017i | \(-0.560458\pi\) |
0.965162 | + | 0.261653i | \(0.0842677\pi\) | |||||||
\(18\) | −1.47018 | − | 3.89111i | −0.346525 | − | 0.917144i | ||||
\(19\) | −0.138755 | + | 0.240330i | −0.0318325 | + | 0.0551355i | −0.881503 | − | 0.472179i | \(-0.843468\pi\) |
0.849670 | + | 0.527314i | \(0.176801\pi\) | |||||||
\(20\) | −0.265135 | − | 0.0817834i | −0.0592860 | − | 0.0182873i | ||||
\(21\) | 2.04021 | + | 4.10336i | 0.445211 | + | 0.895426i | ||||
\(22\) | 4.62621 | − | 1.42700i | 0.986312 | − | 0.304237i | ||||
\(23\) | 0.652889 | − | 2.86050i | 0.136137 | − | 0.596455i | −0.860126 | − | 0.510082i | \(-0.829615\pi\) |
0.996263 | − | 0.0863729i | \(-0.0275277\pi\) | |||||||
\(24\) | −3.41682 | + | 3.63570i | −0.697456 | + | 0.742134i | ||||
\(25\) | 4.86680 | − | 6.10278i | 0.973360 | − | 1.22056i | ||||
\(26\) | −4.12645 | − | 3.82879i | −0.809264 | − | 0.750887i | ||||
\(27\) | −2.34364 | + | 4.63760i | −0.451033 | + | 0.892507i | ||||
\(28\) | 0.124835 | − | 0.162784i | 0.0235915 | − | 0.0307633i | ||||
\(29\) | −5.82734 | − | 1.79750i | −1.08211 | − | 0.333787i | −0.298100 | − | 0.954535i | \(-0.596353\pi\) |
−0.784010 | + | 0.620748i | \(0.786829\pi\) | |||||||
\(30\) | −3.67934 | − | 7.76648i | −0.671752 | − | 1.41796i | ||||
\(31\) | 4.09788 | − | 7.09774i | 0.736001 | − | 1.27479i | −0.218282 | − | 0.975886i | \(-0.570045\pi\) |
0.954283 | − | 0.298906i | \(-0.0966215\pi\) | |||||||
\(32\) | 0.418882 | + | 0.129208i | 0.0740486 | + | 0.0228410i | ||||
\(33\) | −5.21812 | − | 3.05720i | −0.908358 | − | 0.532190i | ||||
\(34\) | −2.21200 | − | 5.63607i | −0.379354 | − | 0.966579i | ||||
\(35\) | 4.88874 | + | 8.10805i | 0.826347 | + | 1.37051i | ||||
\(36\) | 0.232588 | + | 0.00296546i | 0.0387646 | + | 0.000494244i | ||||
\(37\) | 3.63417 | + | 1.12099i | 0.597453 | + | 0.184290i | 0.578709 | − | 0.815534i | \(-0.303557\pi\) |
0.0187447 | + | 0.999824i | \(0.494033\pi\) | |||||||
\(38\) | 0.239903 | + | 0.300829i | 0.0389174 | + | 0.0488009i | ||||
\(39\) | −0.0448252 | + | 7.03177i | −0.00717778 | + | 1.12598i | ||||
\(40\) | −6.42702 | + | 8.05922i | −1.01620 | + | 1.27428i | ||||
\(41\) | 7.36805 | + | 5.02345i | 1.15070 | + | 0.784531i | 0.979646 | − | 0.200731i | \(-0.0643318\pi\) |
0.171049 | + | 0.985262i | \(0.445284\pi\) | |||||||
\(42\) | 6.32962 | − | 0.554693i | 0.976681 | − | 0.0855909i | ||||
\(43\) | 5.99423 | − | 4.08680i | 0.914112 | − | 0.623231i | −0.0122255 | − | 0.999925i | \(-0.503892\pi\) |
0.926338 | + | 0.376694i | \(0.122939\pi\) | |||||||
\(44\) | −0.0202316 | + | 0.269971i | −0.00305002 | + | 0.0406997i | ||||
\(45\) | −4.04922 | + | 9.94261i | −0.603622 | + | 1.48216i | ||||
\(46\) | −3.36127 | − | 2.29168i | −0.495592 | − | 0.337889i | ||||
\(47\) | −0.963871 | + | 2.45590i | −0.140595 | + | 0.358230i | −0.983776 | − | 0.179399i | \(-0.942585\pi\) |
0.843181 | + | 0.537629i | \(0.180680\pi\) | |||||||
\(48\) | 2.84673 | + | 6.00899i | 0.410890 | + | 0.867323i | ||||
\(49\) | −6.87722 | + | 1.30531i | −0.982460 | + | 0.186473i | ||||
\(50\) | −5.41145 | − | 9.37290i | −0.765294 | − | 1.32553i | ||||
\(51\) | −3.32501 | + | 6.79334i | −0.465595 | + | 0.951257i | ||||
\(52\) | 0.283612 | − | 0.136580i | 0.0393299 | − | 0.0189403i | ||||
\(53\) | −9.47132 | + | 2.92151i | −1.30099 | + | 0.401301i | −0.866409 | − | 0.499334i | \(-0.833578\pi\) |
−0.434576 | + | 0.900635i | \(0.643102\pi\) | |||||||
\(54\) | 4.79850 | + | 5.37410i | 0.652993 | + | 0.731323i | ||||
\(55\) | −11.2576 | − | 5.42136i | −1.51797 | − | 0.731016i | ||||
\(56\) | −3.93525 | − | 6.52667i | −0.525869 | − | 0.872163i | ||||
\(57\) | 0.0746670 | − | 0.474825i | 0.00988988 | − | 0.0628921i | ||||
\(58\) | −5.27188 | + | 6.61073i | −0.692231 | + | 0.868031i | ||||
\(59\) | 1.71560 | − | 1.16968i | 0.223352 | − | 0.152279i | −0.446475 | − | 0.894796i | \(-0.647321\pi\) |
0.669827 | + | 0.742517i | \(0.266368\pi\) | |||||||
\(60\) | 0.479454 | − | 0.0328580i | 0.0618972 | − | 0.00424195i | ||||
\(61\) | −8.47949 | + | 7.86782i | −1.08569 | + | 1.00737i | −0.0857491 | + | 0.996317i | \(0.527328\pi\) |
−0.999939 | + | 0.0110544i | \(0.996481\pi\) | |||||||
\(62\) | −7.08513 | − | 8.88447i | −0.899812 | − | 1.12833i | ||||
\(63\) | −5.85198 | − | 5.36231i | −0.737280 | − | 0.675588i | ||||
\(64\) | 5.16601 | − | 6.47797i | 0.645751 | − | 0.809746i | ||||
\(65\) | 1.08570 | + | 14.4877i | 0.134665 | + | 1.79698i | ||||
\(66\) | −6.58914 | + | 5.18630i | −0.811068 | + | 0.638389i | ||||
\(67\) | 4.49705 | − | 7.78913i | 0.549403 | − | 0.951593i | −0.448913 | − | 0.893575i | \(-0.648189\pi\) |
0.998316 | − | 0.0580177i | \(-0.0184780\pi\) | |||||||
\(68\) | 0.338577 | 0.0410585 | ||||||||
\(69\) | 0.725375 | + | 5.02990i | 0.0873249 | + | 0.605529i | ||||
\(70\) | 12.9413 | − | 2.20263i | 1.54679 | − | 0.263265i | ||||
\(71\) | −2.68814 | + | 11.7775i | −0.319023 | + | 1.39773i | 0.520246 | + | 0.854017i | \(0.325840\pi\) |
−0.839269 | + | 0.543716i | \(0.817017\pi\) | |||||||
\(72\) | 3.25946 | − | 8.00342i | 0.384132 | − | 0.943212i | ||||
\(73\) | 0.877586 | + | 0.132275i | 0.102714 | + | 0.0154816i | 0.200198 | − | 0.979755i | \(-0.435841\pi\) |
−0.0974843 | + | 0.995237i | \(0.531080\pi\) | |||||||
\(74\) | 3.28776 | − | 4.12272i | 0.382194 | − | 0.479256i | ||||
\(75\) | −4.06735 | + | 12.8936i | −0.469657 | + | 1.48883i | ||||
\(76\) | −0.0205609 | + | 0.00634220i | −0.00235850 | + | 0.000727500i | ||||
\(77\) | 6.65148 | − | 6.41092i | 0.758007 | − | 0.730592i | ||||
\(78\) | 9.05309 | + | 3.61984i | 1.02506 | + | 0.409867i | ||||
\(79\) | −4.01280 | − | 6.95037i | −0.451475 | − | 0.781977i | 0.547003 | − | 0.837131i | \(-0.315769\pi\) |
−0.998478 | + | 0.0551534i | \(0.982435\pi\) | |||||||
\(80\) | 6.86880 | + | 11.8971i | 0.767956 | + | 1.33014i | ||||
\(81\) | 0.901171 | − | 8.95477i | 0.100130 | − | 0.994974i | ||||
\(82\) | 10.2160 | − | 6.96516i | 1.12817 | − | 0.769174i | ||||
\(83\) | 1.83651 | + | 4.67936i | 0.201583 | + | 0.513626i | 0.995539 | − | 0.0943494i | \(-0.0300771\pi\) |
−0.793956 | + | 0.607976i | \(0.791982\pi\) | |||||||
\(84\) | −0.100440 | + | 0.340821i | −0.0109589 | + | 0.0371866i | ||||
\(85\) | −5.70897 | + | 14.5462i | −0.619224 | + | 1.57776i | ||||
\(86\) | −2.23835 | − | 9.80686i | −0.241368 | − | 1.05750i | ||||
\(87\) | 10.5378 | − | 0.722179i | 1.12977 | − | 0.0774257i | ||||
\(88\) | 9.06192 | + | 4.36399i | 0.966004 | + | 0.465203i | ||||
\(89\) | −4.14812 | − | 10.5692i | −0.439700 | − | 1.12034i | −0.963313 | − | 0.268381i | \(-0.913511\pi\) |
0.523613 | − | 0.851956i | \(-0.324584\pi\) | |||||||
\(90\) | 10.7816 | + | 10.2628i | 1.13648 | + | 1.08179i | ||||
\(91\) | −10.3225 | − | 2.97066i | −1.08209 | − | 0.311410i | ||||
\(92\) | 0.187964 | − | 0.128152i | 0.0195966 | − | 0.0133608i | ||||
\(93\) | −2.20516 | + | 14.0232i | −0.228665 | + | 1.45413i | ||||
\(94\) | 2.68154 | + | 2.48811i | 0.276580 | + | 0.256629i | ||||
\(95\) | 0.0742122 | − | 0.990293i | 0.00761401 | − | 0.101602i | ||||
\(96\) | −0.757480 | + | 0.0519118i | −0.0773100 | + | 0.00529823i | ||||
\(97\) | 6.74197 | − | 11.6774i | 0.684544 | − | 1.18566i | −0.289036 | − | 0.957318i | \(-0.593335\pi\) |
0.973580 | − | 0.228346i | \(-0.0733318\pi\) | |||||||
\(98\) | −1.79895 | + | 9.53753i | −0.181721 | + | 0.963436i | ||||
\(99\) | 10.3373 | + | 1.69314i | 1.03893 | + | 0.170167i | ||||
\(100\) | 0.598463 | − | 0.0902038i | 0.0598463 | − | 0.00902038i | ||||
\(101\) | 7.60179 | − | 3.66083i | 0.756406 | − | 0.364266i | −0.0156023 | − | 0.999878i | \(-0.504967\pi\) |
0.772008 | + | 0.635612i | \(0.219252\pi\) | |||||||
\(102\) | 7.08374 | + | 7.73274i | 0.701395 | + | 0.765656i | ||||
\(103\) | 3.37124 | − | 1.62351i | 0.332179 | − | 0.159969i | −0.260358 | − | 0.965512i | \(-0.583841\pi\) |
0.592537 | + | 0.805543i | \(0.298126\pi\) | |||||||
\(104\) | −0.873949 | − | 11.6620i | −0.0856978 | − | 1.14356i | ||||
\(105\) | −12.9490 | − | 10.0620i | −1.26369 | − | 0.981949i | ||||
\(106\) | −1.02700 | + | 13.7044i | −0.0997512 | + | 1.33109i | ||||
\(107\) | 0.0158526 | + | 0.0403919i | 0.00153253 | + | 0.00390483i | 0.931638 | − | 0.363388i | \(-0.118380\pi\) |
−0.930105 | + | 0.367293i | \(0.880285\pi\) | |||||||
\(108\) | −0.377783 | + | 0.139992i | −0.0363522 | + | 0.0134708i | ||||
\(109\) | −5.54130 | + | 14.1190i | −0.530760 | + | 1.35235i | 0.374393 | + | 0.927270i | \(0.377851\pi\) |
−0.905154 | + | 0.425085i | \(0.860244\pi\) | |||||||
\(110\) | −12.6999 | + | 11.7837i | −1.21088 | + | 1.12354i | ||||
\(111\) | −6.57180 | + | 0.450380i | −0.623767 | + | 0.0427482i | ||||
\(112\) | −10.0128 | + | 1.70419i | −0.946123 | + | 0.161031i | ||||
\(113\) | 2.48613 | + | 0.374723i | 0.233875 | + | 0.0352510i | 0.264934 | − | 0.964267i | \(-0.414650\pi\) |
−0.0310589 | + | 0.999518i | \(0.509888\pi\) | |||||||
\(114\) | −0.575026 | − | 0.336897i | −0.0538562 | − | 0.0315533i | ||||
\(115\) | 2.33637 | + | 10.2363i | 0.217868 | + | 0.954541i | ||||
\(116\) | −0.236417 | − | 0.409485i | −0.0219507 | − | 0.0380198i | ||||
\(117\) | −4.30482 | − | 11.3935i | −0.397980 | − | 1.05333i | ||||
\(118\) | −0.640635 | − | 2.80680i | −0.0589752 | − | 0.258387i | ||||
\(119\) | −8.61682 | − | 7.69603i | −0.789903 | − | 0.705494i | ||||
\(120\) | 5.37127 | − | 17.0271i | 0.490328 | − | 1.55435i | ||||
\(121\) | −0.265185 | + | 1.16185i | −0.0241077 | + | 0.105623i | ||||
\(122\) | 5.85953 | + | 14.9298i | 0.530497 | + | 1.35168i | ||||
\(123\) | −15.0362 | − | 3.53291i | −1.35577 | − | 0.318552i | ||||
\(124\) | 0.607231 | − | 0.187306i | 0.0545310 | − | 0.0168206i | ||||
\(125\) | −2.23420 | + | 9.78865i | −0.199833 | + | 0.875524i | ||||
\(126\) | −9.88540 | + | 4.83674i | −0.880662 | + | 0.430891i | ||||
\(127\) | 4.16093 | + | 18.2302i | 0.369223 | + | 1.61767i | 0.728918 | + | 0.684601i | \(0.240024\pi\) |
−0.359695 | + | 0.933070i | \(0.617119\pi\) | |||||||
\(128\) | −5.30578 | − | 9.18988i | −0.468969 | − | 0.812278i | ||||
\(129\) | −7.14458 | + | 10.3370i | −0.629046 | + | 0.910121i | ||||
\(130\) | 19.2490 | + | 5.93753i | 1.68825 | + | 0.520756i | ||||
\(131\) | −0.100779 | − | 0.0485325i | −0.00880508 | − | 0.00424030i | 0.429476 | − | 0.903078i | \(-0.358698\pi\) |
−0.438281 | + | 0.898838i | \(0.644413\pi\) | |||||||
\(132\) | −0.135356 | − | 0.448955i | −0.0117812 | − | 0.0390765i | ||||
\(133\) | 0.667438 | + | 0.305950i | 0.0578743 | + | 0.0265293i | ||||
\(134\) | −7.77529 | − | 9.74991i | −0.671683 | − | 0.842264i | ||||
\(135\) | 0.355575 | − | 18.5911i | 0.0306030 | − | 1.60007i | ||||
\(136\) | 4.59550 | − | 11.7091i | 0.394061 | − | 1.00405i | ||||
\(137\) | −17.4553 | − | 8.40605i | −1.49131 | − | 0.718177i | −0.502118 | − | 0.864799i | \(-0.667446\pi\) |
−0.989193 | + | 0.146622i | \(0.953160\pi\) | |||||||
\(138\) | 6.85946 | + | 1.61170i | 0.583916 | + | 0.137197i | ||||
\(139\) | 10.2007 | + | 6.95475i | 0.865216 | + | 0.589894i | 0.912541 | − | 0.408985i | \(-0.134117\pi\) |
−0.0473252 | + | 0.998880i | \(0.515070\pi\) | |||||||
\(140\) | −0.149735 | + | 0.718662i | −0.0126549 | + | 0.0607381i | ||||
\(141\) | 0.0291293 | − | 4.56954i | 0.00245313 | − | 0.384825i | ||||
\(142\) | 13.8393 | + | 9.43551i | 1.16137 | + | 0.791810i | ||||
\(143\) | 13.5460 | − | 4.17837i | 1.13277 | − | 0.349413i | ||||
\(144\) | −8.34182 | − | 7.94037i | −0.695152 | − | 0.661698i | ||||
\(145\) | 21.5790 | − | 3.25251i | 1.79204 | − | 0.270106i | ||||
\(146\) | 0.615272 | − | 1.06568i | 0.0509203 | − | 0.0881965i | ||||
\(147\) | 10.3032 | − | 6.39087i | 0.849797 | − | 0.527110i | ||||
\(148\) | 0.147439 | + | 0.255372i | 0.0121194 | + | 0.0209914i | ||||
\(149\) | −11.9983 | − | 15.0454i | −0.982941 | − | 1.23257i | −0.972567 | − | 0.232622i | \(-0.925269\pi\) |
−0.0103734 | − | 0.999946i | \(-0.503302\pi\) | |||||||
\(150\) | 14.5813 | + | 11.7810i | 1.19055 | + | 0.961915i | ||||
\(151\) | −1.59288 | + | 6.97888i | −0.129627 | + | 0.567933i | 0.867843 | + | 0.496839i | \(0.165506\pi\) |
−0.997470 | + | 0.0710938i | \(0.977351\pi\) | |||||||
\(152\) | −0.0597380 | + | 0.797148i | −0.00484539 | + | 0.0646573i | ||||
\(153\) | 1.14544 | − | 13.0500i | 0.0926037 | − | 1.05503i | ||||
\(154\) | −4.90513 | − | 11.8325i | −0.395266 | − | 0.953486i | ||||
\(155\) | −2.19173 | + | 29.2466i | −0.176044 | + | 2.34914i | ||||
\(156\) | −0.373387 | + | 0.397305i | −0.0298949 | + | 0.0318099i | ||||
\(157\) | −11.9204 | + | 8.12717i | −0.951350 | + | 0.648619i | −0.936275 | − | 0.351267i | \(-0.885751\pi\) |
−0.0150743 | + | 0.999886i | \(0.504798\pi\) | |||||||
\(158\) | −11.0034 | + | 1.65850i | −0.875386 | + | 0.131943i | ||||
\(159\) | 13.4901 | − | 10.6180i | 1.06983 | − | 0.842061i | ||||
\(160\) | −1.55115 | + | 0.233797i | −0.122629 | + | 0.0184833i | ||||
\(161\) | −7.69667 | − | 1.01105i | −0.606582 | − | 0.0796816i | ||||
\(162\) | −11.1013 | − | 5.69922i | −0.872199 | − | 0.447773i | ||||
\(163\) | −0.0548056 | + | 0.0373658i | −0.00429271 | + | 0.00292672i | −0.565465 | − | 0.824773i | \(-0.691303\pi\) |
0.561172 | + | 0.827699i | \(0.310351\pi\) | |||||||
\(164\) | 0.153858 | + | 0.674094i | 0.0120143 | + | 0.0526379i | ||||
\(165\) | 21.5707 | + | 1.75484i | 1.67927 | + | 0.136614i | ||||
\(166\) | 6.96987 | 0.540967 | ||||||||
\(167\) | 8.07533 | − | 7.49281i | 0.624888 | − | 0.579811i | −0.302853 | − | 0.953037i | \(-0.597939\pi\) |
0.927740 | + | 0.373226i | \(0.121749\pi\) | |||||||
\(168\) | 10.4235 | + | 8.09951i | 0.804188 | + | 0.624891i | ||||
\(169\) | −2.55294 | − | 2.36878i | −0.196380 | − | 0.182214i | ||||
\(170\) | 15.8827 | + | 14.7369i | 1.21814 | + | 1.13027i | ||||
\(171\) | 0.174892 | + | 0.813950i | 0.0133743 | + | 0.0622443i | ||||
\(172\) | 0.556226 | + | 0.0838376i | 0.0424118 | + | 0.00639256i | ||||
\(173\) | −17.2973 | + | 5.33550i | −1.31509 | + | 0.405651i | −0.871419 | − | 0.490540i | \(-0.836800\pi\) |
−0.443669 | + | 0.896191i | \(0.646323\pi\) | |||||||
\(174\) | 4.40588 | − | 13.9668i | 0.334009 | − | 1.05882i | ||||
\(175\) | −17.2813 | − | 11.3077i | −1.30634 | − | 0.854780i | ||||
\(176\) | 9.82599 | − | 9.11718i | 0.740662 | − | 0.687233i | ||||
\(177\) | −2.04484 | + | 2.95853i | −0.153699 | + | 0.222377i | ||||
\(178\) | −15.7428 | −1.17997 | ||||||||
\(179\) | 18.7082 | − | 17.3586i | 1.39831 | − | 1.29745i | 0.494723 | − | 0.869051i | \(-0.335269\pi\) |
0.903591 | − | 0.428396i | \(-0.140921\pi\) | |||||||
\(180\) | −0.754497 | + | 0.351568i | −0.0562369 | + | 0.0262044i | ||||
\(181\) | −5.67782 | + | 7.11976i | −0.422029 | + | 0.529208i | −0.946708 | − | 0.322092i | \(-0.895614\pi\) |
0.524679 | + | 0.851300i | \(0.324185\pi\) | |||||||
\(182\) | −9.06309 | + | 11.8182i | −0.671801 | + | 0.876027i | ||||
\(183\) | 8.80788 | − | 17.9954i | 0.651097 | − | 1.33026i | ||||
\(184\) | −1.88069 | − | 8.23984i | −0.138646 | − | 0.607449i | ||||
\(185\) | −13.4575 | + | 2.02840i | −0.989418 | + | 0.149131i | ||||
\(186\) | 16.9824 | + | 9.94968i | 1.24521 | + | 0.729546i | ||||
\(187\) | 15.0769 | + | 2.27247i | 1.10253 | + | 0.166180i | ||||
\(188\) | −0.184303 | + | 0.0887555i | −0.0134417 | + | 0.00647316i | ||||
\(189\) | 12.7967 | + | 5.02437i | 0.930823 | + | 0.365469i | ||||
\(190\) | −1.24056 | − | 0.597424i | −0.0899999 | − | 0.0433417i | ||||
\(191\) | 2.64183 | + | 1.80117i | 0.191156 | + | 0.130328i | 0.655116 | − | 0.755528i | \(-0.272620\pi\) |
−0.463960 | + | 0.885856i | \(0.653572\pi\) | |||||||
\(192\) | −4.31740 | + | 13.6863i | −0.311582 | + | 0.987724i | ||||
\(193\) | −1.28123 | + | 17.0968i | −0.0922247 | + | 1.23065i | 0.738610 | + | 0.674133i | \(0.235483\pi\) |
−0.830834 | + | 0.556520i | \(0.812136\pi\) | |||||||
\(194\) | −11.6567 | − | 14.6170i | −0.836902 | − | 1.04944i | ||||
\(195\) | −10.7734 | − | 22.7409i | −0.771500 | − | 1.62851i | ||||
\(196\) | −0.459724 | − | 0.288497i | −0.0328374 | − | 0.0206069i | ||||
\(197\) | 11.4903 | 0.818652 | 0.409326 | − | 0.912388i | \(-0.365764\pi\) | ||||
0.409326 | + | 0.912388i | \(0.365764\pi\) | |||||||
\(198\) | 7.42171 | − | 12.4845i | 0.527438 | − | 0.887232i | ||||
\(199\) | −2.84037 | − | 1.93653i | −0.201348 | − | 0.137277i | 0.458449 | − | 0.888721i | \(-0.348405\pi\) |
−0.659797 | + | 0.751444i | \(0.729358\pi\) | |||||||
\(200\) | 5.00337 | − | 21.9212i | 0.353792 | − | 1.55006i | ||||
\(201\) | −2.41997 | + | 15.3891i | −0.170691 | + | 1.08547i | ||||
\(202\) | −0.874240 | − | 11.6659i | −0.0615113 | − | 0.820811i | ||||
\(203\) | −3.29099 | + | 15.7953i | −0.230982 | + | 1.10861i | ||||
\(204\) | −0.547250 | + | 0.210764i | −0.0383151 | + | 0.0147564i | ||||
\(205\) | −31.5552 | − | 4.75619i | −2.20391 | − | 0.332186i | ||||
\(206\) | −0.387708 | − | 5.17361i | −0.0270129 | − | 0.360462i | ||||
\(207\) | −4.30355 | − | 7.67840i | −0.299117 | − | 0.533685i | ||||
\(208\) | −14.8931 | − | 4.59392i | −1.03265 | − | 0.318531i | ||||
\(209\) | −0.958147 | + | 0.144417i | −0.0662764 | + | 0.00998956i | ||||
\(210\) | −19.5462 | + | 11.6161i | −1.34882 | + | 0.801589i | ||||
\(211\) | −2.96319 | − | 0.446628i | −0.203994 | − | 0.0307472i | 0.0462502 | − | 0.998930i | \(-0.485273\pi\) |
−0.250244 | + | 0.968183i | \(0.580511\pi\) | |||||||
\(212\) | −0.692401 | − | 0.333443i | −0.0475543 | − | 0.0229009i | ||||
\(213\) | −2.98658 | − | 20.7096i | −0.204637 | − | 1.41900i | ||||
\(214\) | 0.0601634 | 0.00411268 | ||||||||
\(215\) | −12.9808 | + | 22.4834i | −0.885281 | + | 1.53335i | ||||
\(216\) | −0.286224 | + | 14.9651i | −0.0194751 | + | 1.01825i | ||||
\(217\) | −19.7117 | − | 9.03572i | −1.33811 | − | 0.613385i | ||||
\(218\) | 15.4162 | + | 14.3041i | 1.04412 | + | 0.968798i | ||||
\(219\) | −1.50080 | + | 0.332498i | −0.101415 | + | 0.0224681i | ||||
\(220\) | −0.353944 | − | 0.901835i | −0.0238629 | − | 0.0608017i | ||||
\(221\) | −6.47692 | − | 16.5029i | −0.435685 | − | 1.11011i | ||||
\(222\) | −2.74769 | + | 8.71026i | −0.184413 | + | 0.584594i | ||||
\(223\) | −2.19457 | − | 2.03627i | −0.146959 | − | 0.136358i | 0.603267 | − | 0.797539i | \(-0.293865\pi\) |
−0.750227 | + | 0.661181i | \(0.770056\pi\) | |||||||
\(224\) | 0.236564 | − | 1.13540i | 0.0158061 | − | 0.0758622i | ||||
\(225\) | −1.45212 | − | 23.3722i | −0.0968082 | − | 1.55814i | ||||
\(226\) | 1.74301 | − | 3.01898i | 0.115943 | − | 0.200820i | ||||
\(227\) | 9.67619 | 0.642231 | 0.321116 | − | 0.947040i | \(-0.395942\pi\) | ||||
0.321116 | + | 0.947040i | \(0.395942\pi\) | |||||||
\(228\) | 0.0292850 | − | 0.0230502i | 0.00193945 | − | 0.00152654i | ||||
\(229\) | −12.1898 | − | 5.87031i | −0.805526 | − | 0.387921i | −0.0146463 | − | 0.999893i | \(-0.504662\pi\) |
−0.790879 | + | 0.611972i | \(0.790377\pi\) | |||||||
\(230\) | 14.3954 | + | 2.16975i | 0.949201 | + | 0.143069i | ||||
\(231\) | −6.76014 | + | 14.5026i | −0.444785 | + | 0.954204i | ||||
\(232\) | −17.3703 | + | 2.61815i | −1.14041 | + | 0.171890i | ||||
\(233\) | 5.33022 | + | 1.64416i | 0.349195 | + | 0.107712i | 0.464391 | − | 0.885631i | \(-0.346273\pi\) |
−0.115196 | + | 0.993343i | \(0.536750\pi\) | |||||||
\(234\) | −16.8861 | − | 0.215295i | −1.10388 | − | 0.0140743i | ||||
\(235\) | −0.705535 | − | 9.41471i | −0.0460240 | − | 0.614148i | ||||
\(236\) | 0.159196 | + | 0.0239950i | 0.0103628 | + | 0.00156194i | ||||
\(237\) | 10.8126 | + | 8.73607i | 0.702351 | + | 0.567468i | ||||
\(238\) | −14.2981 | + | 7.22312i | −0.926805 | + | 0.468205i | ||||
\(239\) | 1.70479 | + | 22.7488i | 0.110274 | + | 1.47150i | 0.728255 | + | 0.685306i | \(0.240331\pi\) |
−0.617982 | + | 0.786192i | \(0.712049\pi\) | |||||||
\(240\) | −18.5081 | − | 14.9537i | −1.19469 | − | 0.965260i | ||||
\(241\) | −2.62614 | + | 11.5059i | −0.169164 | + | 0.741157i | 0.817169 | + | 0.576397i | \(0.195542\pi\) |
−0.986334 | + | 0.164760i | \(0.947315\pi\) | |||||||
\(242\) | 1.36525 | + | 0.930814i | 0.0877618 | + | 0.0598350i | ||||
\(243\) | 4.11775 | + | 15.0348i | 0.264154 | + | 0.964481i | ||||
\(244\) | −0.896884 | −0.0574171 | ||||||||
\(245\) | 20.1463 | − | 14.8865i | 1.28710 | − | 0.951062i | ||||
\(246\) | −12.1766 | + | 17.6174i | −0.776349 | + | 1.12324i | ||||
\(247\) | 0.702457 | + | 0.880854i | 0.0446963 | + | 0.0560474i | ||||
\(248\) | 1.76426 | − | 23.5424i | 0.112031 | − | 1.49494i | ||||
\(249\) | −5.88129 | − | 6.42012i | −0.372712 | − | 0.406859i | ||||
\(250\) | 11.5023 | + | 7.84214i | 0.727470 | + | 0.495981i | ||||
\(251\) | 21.7174 | + | 10.4586i | 1.37079 | + | 0.660139i | 0.967015 | − | 0.254719i | \(-0.0819829\pi\) |
0.403777 | + | 0.914857i | \(0.367697\pi\) | |||||||
\(252\) | −0.0498169 | − | 0.613400i | −0.00313817 | − | 0.0386406i | ||||
\(253\) | 9.23020 | − | 4.44503i | 0.580298 | − | 0.279457i | ||||
\(254\) | 25.6372 | + | 3.86419i | 1.60862 | + | 0.242461i | ||||
\(255\) | 0.172532 | − | 27.0652i | 0.0108043 | − | 1.69489i | ||||
\(256\) | 1.83727 | − | 0.276924i | 0.114829 | − | 0.0173077i | ||||
\(257\) | 3.82342 | + | 16.7515i | 0.238498 | + | 1.04493i | 0.942362 | + | 0.334595i | \(0.108599\pi\) |
−0.703864 | + | 0.710335i | \(0.748543\pi\) | |||||||
\(258\) | 9.72265 | + | 14.4577i | 0.605306 | + | 0.900095i | ||||
\(259\) | 2.05239 | − | 9.85059i | 0.127530 | − | 0.612086i | ||||
\(260\) | −0.702338 | + | 0.880704i | −0.0435571 | + | 0.0546189i | ||||
\(261\) | −16.5829 | + | 7.72704i | −1.02646 | + | 0.478292i | ||||
\(262\) | −0.113690 | + | 0.105489i | −0.00702380 | + | 0.00651714i | ||||
\(263\) | −7.77794 | −0.479608 | −0.239804 | − | 0.970821i | \(-0.577083\pi\) | ||||
−0.239804 | + | 0.970821i | \(0.577083\pi\) | |||||||
\(264\) | −17.3636 | − | 1.41258i | −1.06865 | − | 0.0869383i | ||||
\(265\) | 26.0006 | − | 24.1250i | 1.59721 | − | 1.48199i | ||||
\(266\) | 0.732980 | − | 0.706471i | 0.0449419 | − | 0.0433165i | ||||
\(267\) | 13.2840 | + | 14.5011i | 0.812970 | + | 0.887453i | ||||
\(268\) | 0.666382 | − | 0.205551i | 0.0407057 | − | 0.0125561i | ||||
\(269\) | −4.56065 | − | 0.687408i | −0.278068 | − | 0.0419120i | 0.00852776 | − | 0.999964i | \(-0.497285\pi\) |
−0.286596 | + | 0.958052i | \(0.592524\pi\) | |||||||
\(270\) | −23.8151 | − | 9.87637i | −1.44934 | − | 0.601056i | ||||
\(271\) | 13.0649 | + | 12.1224i | 0.793634 | + | 0.736385i | 0.968717 | − | 0.248169i | \(-0.0798288\pi\) |
−0.175083 | + | 0.984554i | \(0.556019\pi\) | |||||||
\(272\) | −12.2885 | − | 11.4021i | −0.745102 | − | 0.691354i | ||||
\(273\) | 18.5337 | − | 1.62419i | 1.12171 | − | 0.0983003i | ||||
\(274\) | −19.6917 | + | 18.2712i | −1.18962 | + | 1.10380i | ||||
\(275\) | 27.2550 | 1.64354 | ||||||||
\(276\) | −0.224036 | + | 0.324142i | −0.0134854 | + | 0.0195111i | ||||
\(277\) | −0.697200 | − | 3.05463i | −0.0418907 | − | 0.183535i | 0.949654 | − | 0.313301i | \(-0.101435\pi\) |
−0.991545 | + | 0.129765i | \(0.958578\pi\) | |||||||
\(278\) | 14.1436 | − | 9.64297i | 0.848279 | − | 0.578347i | ||||
\(279\) | −5.16514 | − | 24.0386i | −0.309229 | − | 1.43916i | ||||
\(280\) | 22.8214 | + | 14.9327i | 1.36384 | + | 0.892401i | ||||
\(281\) | −12.5005 | + | 1.88415i | −0.745717 | + | 0.112399i | −0.510899 | − | 0.859641i | \(-0.670687\pi\) |
−0.234818 | + | 0.972039i | \(0.575449\pi\) | |||||||
\(282\) | −5.88308 | − | 2.35233i | −0.350332 | − | 0.140079i | ||||
\(283\) | 12.9998 | − | 1.95940i | 0.772758 | − | 0.116474i | 0.249185 | − | 0.968456i | \(-0.419837\pi\) |
0.523572 | + | 0.851981i | \(0.324599\pi\) | |||||||
\(284\) | −0.773905 | + | 0.527639i | −0.0459228 | + | 0.0313096i | ||||
\(285\) | 0.496505 | + | 1.64683i | 0.0294104 | + | 0.0975498i | ||||
\(286\) | 1.46883 | − | 19.6001i | 0.0868535 | − | 1.15898i | ||||
\(287\) | 11.4068 | − | 20.6530i | 0.673323 | − | 1.21911i | ||||
\(288\) | 1.19202 | − | 0.555436i | 0.0702402 | − | 0.0327294i | ||||
\(289\) | 0.154569 | − | 2.06258i | 0.00909230 | − | 0.121328i | ||||
\(290\) | 6.73301 | − | 29.4992i | 0.395376 | − | 1.73226i | ||||
\(291\) | −3.62801 | + | 23.0714i | −0.212678 | + | 1.35247i | ||||
\(292\) | 0.0429041 | + | 0.0538000i | 0.00251077 | + | 0.00314841i | ||||
\(293\) | 3.90317 | + | 6.76049i | 0.228026 | + | 0.394952i | 0.957223 | − | 0.289352i | \(-0.0934397\pi\) |
−0.729197 | + | 0.684304i | \(0.760106\pi\) | |||||||
\(294\) | −3.02942 | − | 16.5356i | −0.176679 | − | 0.964374i | ||||
\(295\) | −3.71520 | + | 6.43492i | −0.216308 | + | 0.374656i | ||||
\(296\) | 10.8328 | − | 1.63278i | 0.629644 | − | 0.0949035i | ||||
\(297\) | −17.7623 | + | 3.69826i | −1.03067 | + | 0.214595i | ||||
\(298\) | −25.4967 | + | 7.86469i | −1.47698 | + | 0.455589i | ||||
\(299\) | −9.84209 | − | 6.71022i | −0.569183 | − | 0.388062i | ||||
\(300\) | −0.911157 | + | 0.518341i | −0.0526057 | + | 0.0299264i | ||||
\(301\) | −12.2503 | − | 14.7770i | −0.706097 | − | 0.851730i | ||||
\(302\) | 8.20064 | + | 5.59110i | 0.471894 | + | 0.321732i | ||||
\(303\) | −10.0081 | + | 10.6492i | −0.574949 | + | 0.611779i | ||||
\(304\) | 0.959834 | + | 0.462232i | 0.0550502 | + | 0.0265108i | ||||
\(305\) | 15.1229 | − | 38.5326i | 0.865937 | − | 2.20637i | ||||
\(306\) | −16.2632 | − | 8.08898i | −0.929707 | − | 0.462416i | ||||
\(307\) | 7.99274 | + | 10.0226i | 0.456170 | + | 0.572019i | 0.955724 | − | 0.294264i | \(-0.0950744\pi\) |
−0.499555 | + | 0.866282i | \(0.666503\pi\) | |||||||
\(308\) | 0.716151 | − | 0.0135984i | 0.0408065 | − | 0.000774840i | ||||
\(309\) | −4.43838 | + | 4.72270i | −0.252491 | + | 0.268665i | ||||
\(310\) | 36.6379 | + | 17.6439i | 2.08089 | + | 1.00211i | ||||
\(311\) | 5.54253 | + | 1.70965i | 0.314288 | + | 0.0969451i | 0.447886 | − | 0.894091i | \(-0.352177\pi\) |
−0.133598 | + | 0.991036i | \(0.542653\pi\) | |||||||
\(312\) | 8.67219 | + | 18.3056i | 0.490966 | + | 1.03635i | ||||
\(313\) | 10.6892 | + | 18.5143i | 0.604190 | + | 1.04649i | 0.992179 | + | 0.124824i | \(0.0398367\pi\) |
−0.387989 | + | 0.921664i | \(0.626830\pi\) | |||||||
\(314\) | 4.45127 | + | 19.5023i | 0.251200 | + | 1.10058i | ||||
\(315\) | 27.1933 | + | 8.20266i | 1.53217 | + | 0.462167i | ||||
\(316\) | 0.138468 | − | 0.606667i | 0.00778943 | − | 0.0341277i | ||||
\(317\) | −3.61052 | + | 1.11370i | −0.202787 | + | 0.0625514i | −0.394485 | − | 0.918903i | \(-0.629077\pi\) |
0.191698 | + | 0.981454i | \(0.438601\pi\) | |||||||
\(318\) | −6.87100 | − | 22.7900i | −0.385306 | − | 1.27800i | ||||
\(319\) | −7.77925 | − | 19.8212i | −0.435555 | − | 1.10977i | ||||
\(320\) | −6.59779 | + | 28.9068i | −0.368828 | + | 1.61594i | ||||
\(321\) | −0.0507668 | − | 0.0554180i | −0.00283353 | − | 0.00309313i | ||||
\(322\) | −5.20374 | + | 9.42181i | −0.289993 | + | 0.525057i | ||||
\(323\) | 0.269653 | + | 1.18143i | 0.0150039 | + | 0.0657363i | ||||
\(324\) | 0.523473 | − | 0.461442i | 0.0290819 | − | 0.0256357i | ||||
\(325\) | −15.8452 | − | 27.4447i | −0.878933 | − | 1.52236i | ||||
\(326\) | 0.0204654 | + | 0.0896646i | 0.00113347 | + | 0.00496606i | ||||
\(327\) | 0.167464 | − | 26.2703i | 0.00926080 | − | 1.45275i | ||||
\(328\) | 25.4007 | + | 3.82855i | 1.40252 | + | 0.211396i | ||||
\(329\) | 6.70797 | + | 1.93046i | 0.369823 | + | 0.106430i | ||||
\(330\) | 13.1917 | − | 26.9520i | 0.726179 | − | 1.48366i | ||||
\(331\) | −16.5389 | + | 15.3459i | −0.909063 | + | 0.843487i | −0.988167 | − | 0.153379i | \(-0.950984\pi\) |
0.0791047 | + | 0.996866i | \(0.474794\pi\) | |||||||
\(332\) | −0.142395 | + | 0.362817i | −0.00781495 | + | 0.0199122i | ||||
\(333\) | 10.3418 | − | 4.81889i | 0.566726 | − | 0.264074i | ||||
\(334\) | −5.58024 | − | 14.2182i | −0.305337 | − | 0.777987i | ||||
\(335\) | −2.40523 | + | 32.0955i | −0.131412 | + | 1.75357i | ||||
\(336\) | 15.1231 | − | 8.98750i | 0.825032 | − | 0.490308i | ||||
\(337\) | −0.372452 | − | 4.97002i | −0.0202887 | − | 0.270734i | −0.998118 | − | 0.0613288i | \(-0.980466\pi\) |
0.977829 | − | 0.209406i | \(-0.0671529\pi\) | |||||||
\(338\) | −4.35056 | + | 2.09512i | −0.236639 | + | 0.113959i | ||||
\(339\) | −4.25164 | + | 0.941936i | −0.230918 | + | 0.0511590i | ||||
\(340\) | −1.09162 | + | 0.525695i | −0.0592012 | + | 0.0285098i | ||||
\(341\) | 28.2972 | − | 4.26512i | 1.53238 | − | 0.230969i | ||||
\(342\) | 1.13915 | + | 0.186581i | 0.0615979 | + | 0.0100891i | ||||
\(343\) | 5.14233 | + | 17.7920i | 0.277660 | + | 0.960680i | ||||
\(344\) | 10.4490 | − | 18.0982i | 0.563374 | − | 0.975792i | ||||
\(345\) | −10.1484 | − | 15.0908i | −0.546373 | − | 0.812461i | ||||
\(346\) | −1.87559 | + | 25.0281i | −0.100833 | + | 1.34552i | ||||
\(347\) | 3.95819 | + | 3.67266i | 0.212487 | + | 0.197159i | 0.779235 | − | 0.626732i | \(-0.215608\pi\) |
−0.566748 | + | 0.823891i | \(0.691799\pi\) | |||||||
\(348\) | 0.637029 | + | 0.514691i | 0.0341484 | + | 0.0275903i | ||||
\(349\) | 9.49616 | − | 6.47437i | 0.508318 | − | 0.346565i | −0.281847 | − | 0.959459i | \(-0.590947\pi\) |
0.790165 | + | 0.612894i | \(0.209995\pi\) | |||||||
\(350\) | −23.3486 | + | 16.5767i | −1.24803 | + | 0.886064i | ||||
\(351\) | 14.0504 | + | 15.7358i | 0.749956 | + | 0.839917i | ||||
\(352\) | 0.559190 | + | 1.42479i | 0.0298049 | + | 0.0759417i | ||||
\(353\) | −29.5293 | − | 14.2205i | −1.57168 | − | 0.756883i | −0.573623 | − | 0.819119i | \(-0.694463\pi\) |
−0.998061 | + | 0.0622359i | \(0.980177\pi\) | |||||||
\(354\) | 2.78270 | + | 4.13790i | 0.147899 | + | 0.219927i | ||||
\(355\) | −9.61954 | − | 42.1459i | −0.510552 | − | 2.23687i | ||||
\(356\) | 0.321627 | − | 0.819493i | 0.0170462 | − | 0.0434330i | ||||
\(357\) | 18.7183 | + | 7.07531i | 0.990679 | + | 0.374465i | ||||
\(358\) | −12.9278 | − | 32.9395i | −0.683255 | − | 1.74091i | ||||
\(359\) | −6.14906 | + | 4.19236i | −0.324535 | + | 0.221264i | −0.714617 | − | 0.699516i | \(-0.753399\pi\) |
0.390082 | + | 0.920780i | \(0.372447\pi\) | |||||||
\(360\) | 1.91765 | + | 30.8649i | 0.101069 | + | 1.62672i | ||||
\(361\) | 9.46149 | + | 16.3878i | 0.497973 | + | 0.862515i | ||||
\(362\) | 6.31323 | + | 10.9348i | 0.331816 | + | 0.574722i | ||||
\(363\) | −0.294627 | − | 2.04300i | −0.0154639 | − | 0.107230i | ||||
\(364\) | −0.430040 | − | 0.713228i | −0.0225402 | − | 0.0373833i | ||||
\(365\) | −3.03483 | + | 0.936121i | −0.158850 | + | 0.0489988i | ||||
\(366\) | −18.7647 | − | 20.4839i | −0.980846 | − | 1.07071i | ||||
\(367\) | −10.0724 | + | 12.6304i | −0.525775 | + | 0.659301i | −0.971824 | − | 0.235708i | \(-0.924259\pi\) |
0.446049 | + | 0.895008i | \(0.352831\pi\) | |||||||
\(368\) | −11.1378 | − | 1.67875i | −0.580598 | − | 0.0875111i | ||||
\(369\) | 26.5026 | − | 3.64971i | 1.37967 | − | 0.189996i | ||||
\(370\) | −4.19898 | + | 18.3969i | −0.218294 | + | 0.956410i | ||||
\(371\) | 10.0423 | + | 24.2248i | 0.521372 | + | 1.25769i | ||||
\(372\) | −0.864883 | + | 0.680747i | −0.0448421 | + | 0.0352951i | ||||
\(373\) | −3.27251 | −0.169444 | −0.0847220 | − | 0.996405i | \(-0.527000\pi\) | ||||
−0.0847220 | + | 0.996405i | \(0.527000\pi\) | |||||||
\(374\) | 10.5703 | − | 18.3084i | 0.546579 | − | 0.946702i | ||||
\(375\) | −2.48224 | − | 17.2124i | −0.128182 | − | 0.888844i | ||||
\(376\) | 0.567929 | + | 7.57848i | 0.0292887 | + | 0.390830i | ||||
\(377\) | −15.4365 | + | 19.3568i | −0.795021 | + | 0.996925i | ||||
\(378\) | 12.9671 | − | 13.9714i | 0.666957 | − | 0.718610i | ||||
\(379\) | 3.20867 | + | 4.02355i | 0.164818 | + | 0.206676i | 0.857381 | − | 0.514682i | \(-0.172090\pi\) |
−0.692563 | + | 0.721358i | \(0.743518\pi\) | |||||||
\(380\) | 0.0564437 | − | 0.0523721i | 0.00289550 | − | 0.00268663i | ||||
\(381\) | −18.0737 | − | 26.8757i | −0.925943 | − | 1.37689i | ||||
\(382\) | 3.66297 | − | 2.49737i | 0.187414 | − | 0.127777i | ||||
\(383\) | 14.7587 | − | 18.5068i | 0.754134 | − | 0.945654i | −0.245585 | − | 0.969375i | \(-0.578980\pi\) |
0.999719 | + | 0.0237213i | \(0.00755142\pi\) | |||||||
\(384\) | 14.2965 | + | 11.5510i | 0.729567 | + | 0.589457i | ||||
\(385\) | −11.4913 | + | 30.9971i | −0.585648 | + | 1.57976i | ||||
\(386\) | 21.4175 | + | 10.3141i | 1.09012 | + | 0.524976i | ||||
\(387\) | 5.11319 | − | 21.1554i | 0.259918 | − | 1.07539i | ||||
\(388\) | 0.999038 | − | 0.308162i | 0.0507185 | − | 0.0156446i | ||||
\(389\) | 10.5535 | − | 5.08229i | 0.535083 | − | 0.257683i | −0.146771 | − | 0.989170i | \(-0.546888\pi\) |
0.681854 | + | 0.731488i | \(0.261174\pi\) | |||||||
\(390\) | −34.8087 | + | 2.38552i | −1.76261 | + | 0.120795i | ||||
\(391\) | −6.40613 | − | 11.0957i | −0.323972 | − | 0.561135i | ||||
\(392\) | −16.2170 | + | 11.9830i | −0.819083 | + | 0.605235i | ||||
\(393\) | 0.193102 | + | 0.0157095i | 0.00974072 | + | 0.000792438i | ||||
\(394\) | 5.82050 | − | 14.8304i | 0.293232 | − | 0.747144i | ||||
\(395\) | 23.7293 | + | 16.1784i | 1.19395 | + | 0.814022i | ||||
\(396\) | 0.498253 | + | 0.641396i | 0.0250381 | + | 0.0322314i | ||||
\(397\) | 0.108205 | − | 1.44390i | 0.00543067 | − | 0.0724672i | −0.993830 | − | 0.110914i | \(-0.964622\pi\) |
0.999261 | + | 0.0384471i | \(0.0122411\pi\) | |||||||
\(398\) | −3.93825 | + | 2.68505i | −0.197407 | + | 0.134590i | ||||
\(399\) | −1.26925 | − | 0.0790346i | −0.0635419 | − | 0.00395668i | ||||
\(400\) | −24.7587 | − | 16.8802i | −1.23794 | − | 0.844011i | ||||
\(401\) | −5.98272 | + | 7.50210i | −0.298763 | + | 0.374637i | −0.908442 | − | 0.418012i | \(-0.862727\pi\) |
0.609679 | + | 0.792649i | \(0.291299\pi\) | |||||||
\(402\) | 18.6367 | + | 10.9189i | 0.929513 | + | 0.544584i | ||||
\(403\) | −20.7459 | − | 26.0145i | −1.03343 | − | 1.29587i | ||||
\(404\) | 0.625131 | + | 0.192827i | 0.0311014 | + | 0.00959352i | ||||
\(405\) | 10.9982 | + | 30.2705i | 0.546505 | + | 1.50415i | ||||
\(406\) | 18.7197 | + | 12.2488i | 0.929042 | + | 0.607900i | ||||
\(407\) | 4.85146 | + | 12.3613i | 0.240478 | + | 0.612727i | ||||
\(408\) | −0.138881 | + | 21.7864i | −0.00687565 | + | 1.07859i | ||||
\(409\) | 1.03042 | + | 0.317841i | 0.0509507 | + | 0.0157162i | 0.320126 | − | 0.947375i | \(-0.396275\pi\) |
−0.269175 | + | 0.963091i | \(0.586751\pi\) | |||||||
\(410\) | −22.1232 | + | 38.3186i | −1.09259 | + | 1.89242i | ||||
\(411\) | 33.4462 | + | 2.72095i | 1.64978 | + | 0.134215i | ||||
\(412\) | 0.277233 | + | 0.0855151i | 0.0136583 | + | 0.00421303i | ||||
\(413\) | −3.50615 | − | 4.22929i | −0.172526 | − | 0.208110i | ||||
\(414\) | −12.0904 | + | 1.66498i | −0.594209 | + | 0.0818293i | ||||
\(415\) | −13.1866 | − | 12.2354i | −0.647304 | − | 0.600611i | ||||
\(416\) | 1.10961 | − | 1.39141i | 0.0544031 | − | 0.0682194i | ||||
\(417\) | −20.8170 | − | 4.89116i | −1.01941 | − | 0.239521i | ||||
\(418\) | −0.298958 | + | 1.30982i | −0.0146225 | + | 0.0640654i | ||||
\(419\) | −33.6190 | + | 10.3701i | −1.64240 | + | 0.506612i | −0.971919 | − | 0.235317i | \(-0.924387\pi\) |
−0.670478 | + | 0.741929i | \(0.733911\pi\) | |||||||
\(420\) | −0.205346 | − | 1.25480i | −0.0100199 | − | 0.0612279i | ||||
\(421\) | 17.7184 | + | 5.46539i | 0.863540 | + | 0.266367i | 0.694720 | − | 0.719280i | \(-0.255528\pi\) |
0.168820 | + | 0.985647i | \(0.446004\pi\) | |||||||
\(422\) | −2.07748 | + | 3.59829i | −0.101130 | + | 0.175162i | ||||
\(423\) | 2.79745 | + | 7.40398i | 0.136017 | + | 0.359994i | ||||
\(424\) | −20.9295 | + | 19.4197i | −1.01643 | + | 0.943106i | ||||
\(425\) | −2.54722 | − | 33.9903i | −0.123558 | − | 1.64877i | ||||
\(426\) | −28.2424 | − | 6.63584i | −1.36835 | − | 0.321507i | ||||
\(427\) | 22.8258 | + | 20.3866i | 1.10462 | + | 0.986578i | ||||
\(428\) | −0.00122914 | + | 0.00313181i | −5.94129e−5 | + | 0.000151382i | ||||
\(429\) | −19.2936 | + | 15.1859i | −0.931503 | + | 0.733184i | ||||
\(430\) | 22.4434 | + | 28.1432i | 1.08232 | + | 1.35718i | ||||
\(431\) | −0.518506 | − | 6.91898i | −0.0249755 | − | 0.333276i | −0.995670 | − | 0.0929585i | \(-0.970368\pi\) |
0.970694 | − | 0.240317i | \(-0.0772514\pi\) | |||||||
\(432\) | 18.4259 | + | 7.64142i | 0.886518 | + | 0.367648i | ||||
\(433\) | −21.1589 | + | 10.1896i | −1.01683 | + | 0.489680i | −0.866617 | − | 0.498974i | \(-0.833710\pi\) |
−0.150214 | + | 0.988654i | \(0.547996\pi\) | |||||||
\(434\) | −21.6473 | + | 20.8644i | −1.03910 | + | 1.00152i | ||||
\(435\) | −32.8539 | + | 18.6900i | −1.57522 | + | 0.896117i | ||||
\(436\) | −1.05956 | + | 0.510255i | −0.0507435 | + | 0.0244368i | ||||
\(437\) | 0.596872 | + | 0.553816i | 0.0285522 | + | 0.0264926i | ||||
\(438\) | −0.331092 | + | 2.10549i | −0.0158202 | + | 0.100604i | ||||
\(439\) | 0.384300 | − | 0.979180i | 0.0183416 | − | 0.0467337i | −0.921410 | − | 0.388593i | \(-0.872961\pi\) |
0.939751 | + | 0.341859i | \(0.111057\pi\) | |||||||
\(440\) | −35.9926 | −1.71588 | ||||||||
\(441\) | −12.6750 | + | 16.7435i | −0.603574 | + | 0.797307i | ||||
\(442\) | −24.5810 | −1.16920 | ||||||||
\(443\) | −3.79339 | + | 9.66539i | −0.180229 | + | 0.459217i | −0.992227 | − | 0.124444i | \(-0.960285\pi\) |
0.811997 | + | 0.583661i | \(0.198380\pi\) | |||||||
\(444\) | −0.397277 | − | 0.320982i | −0.0188539 | − | 0.0152331i | ||||
\(445\) | 29.7845 | + | 27.6360i | 1.41192 | + | 1.31007i | ||||
\(446\) | −3.73985 | + | 1.80102i | −0.177087 | + | 0.0852806i | ||||
\(447\) | 28.7589 | + | 16.8493i | 1.36025 | + | 0.796944i | ||||
\(448\) | −18.3437 | − | 12.0029i | −0.866661 | − | 0.567082i | ||||
\(449\) | 1.28771 | − | 0.620130i | 0.0607710 | − | 0.0292658i | −0.403251 | − | 0.915089i | \(-0.632120\pi\) |
0.464022 | + | 0.885823i | \(0.346406\pi\) | |||||||
\(450\) | −30.9017 | − | 9.96508i | −1.45672 | − | 0.469758i | ||||
\(451\) | 2.32689 | + | 31.0501i | 0.109569 | + | 1.46209i | ||||
\(452\) | 0.121543 | + | 0.152411i | 0.00571692 | + | 0.00716879i | ||||
\(453\) | −1.76973 | − | 12.2717i | −0.0831492 | − | 0.576574i | ||||
\(454\) | 4.90153 | − | 12.4889i | 0.230040 | − | 0.586133i | ||||
\(455\) | 37.8934 | − | 6.44949i | 1.77647 | − | 0.302357i | ||||
\(456\) | −0.399668 | − | 1.32563i | −0.0187162 | − | 0.0620785i | ||||
\(457\) | −0.688646 | − | 9.18934i | −0.0322135 | − | 0.429859i | −0.989873 | − | 0.141956i | \(-0.954661\pi\) |
0.957659 | − | 0.287903i | \(-0.0929582\pi\) | |||||||
\(458\) | −13.7515 | + | 12.7596i | −0.642567 | + | 0.596215i | ||||
\(459\) | 6.27222 | + | 21.8061i | 0.292762 | + | 1.01782i | ||||
\(460\) | −0.407045 | + | 0.705022i | −0.0189786 | + | 0.0328718i | ||||
\(461\) | −3.28294 | − | 1.01265i | −0.152902 | − | 0.0471639i | 0.217360 | − | 0.976092i | \(-0.430256\pi\) |
−0.370261 | + | 0.928928i | \(0.620732\pi\) | |||||||
\(462\) | 15.2939 | + | 16.0716i | 0.711539 | + | 0.747719i | ||||
\(463\) | 27.8659 | − | 8.59549i | 1.29504 | − | 0.399466i | 0.430753 | − | 0.902470i | \(-0.358248\pi\) |
0.864284 | + | 0.503003i | \(0.167772\pi\) | |||||||
\(464\) | −5.20938 | + | 22.8238i | −0.241840 | + | 1.05957i | ||||
\(465\) | −14.6634 | − | 48.6363i | −0.680001 | − | 2.25545i | ||||
\(466\) | 4.82214 | − | 6.04678i | 0.223381 | − | 0.280112i | ||||
\(467\) | 7.01245 | + | 6.50661i | 0.324498 | + | 0.301090i | 0.825552 | − | 0.564326i | \(-0.190864\pi\) |
−0.501054 | + | 0.865416i | \(0.667054\pi\) | |||||||
\(468\) | 0.356191 | − | 0.874606i | 0.0164649 | − | 0.0404287i | ||||
\(469\) | −21.6318 | − | 9.91589i | −0.998862 | − | 0.457873i | ||||
\(470\) | −12.5088 | − | 3.85846i | −0.576988 | − | 0.177977i | ||||
\(471\) | 14.2080 | − | 20.5565i | 0.654670 | − | 0.947196i | ||||
\(472\) | 2.99060 | − | 5.17987i | 0.137653 | − | 0.238423i | ||||
\(473\) | 24.2061 | + | 7.46659i | 1.11300 | + | 0.343314i | ||||
\(474\) | 16.7527 | − | 9.53029i | 0.769476 | − | 0.437741i | ||||
\(475\) | 0.791389 | + | 2.01643i | 0.0363114 | + | 0.0925200i | ||||
\(476\) | −0.0838893 | − | 0.891855i | −0.00384506 | − | 0.0408781i | ||||
\(477\) | −15.1946 | + | 25.5596i | −0.695712 | + | 1.17029i | ||||
\(478\) | 30.2251 | + | 9.32321i | 1.38246 | + | 0.426434i | ||||
\(479\) | −12.1820 | − | 15.2757i | −0.556610 | − | 0.697966i | 0.421317 | − | 0.906913i | \(-0.361568\pi\) |
−0.977927 | + | 0.208947i | \(0.932996\pi\) | |||||||
\(480\) | 2.36161 | − | 1.34348i | 0.107792 | − | 0.0613211i | ||||
\(481\) | 9.62683 | − | 12.0717i | 0.438946 | − | 0.550421i | ||||
\(482\) | 13.5201 | + | 9.21787i | 0.615825 | + | 0.419863i | ||||
\(483\) | 13.0697 | − | 3.15699i | 0.594690 | − | 0.143648i | ||||
\(484\) | −0.0763458 | + | 0.0520517i | −0.00347026 | + | 0.00236599i | ||||
\(485\) | −3.60591 | + | 48.1175i | −0.163736 | + | 2.18490i | ||||
\(486\) | 21.4910 | + | 2.30124i | 0.974852 | + | 0.104386i | ||||
\(487\) | 5.14135 | + | 3.50531i | 0.232977 | + | 0.158841i | 0.674182 | − | 0.738566i | \(-0.264496\pi\) |
−0.441205 | + | 0.897406i | \(0.645449\pi\) | |||||||
\(488\) | −12.1734 | + | 31.0173i | −0.551063 | + | 1.40409i | ||||
\(489\) | 0.0653233 | − | 0.0945116i | 0.00295402 | − | 0.00427396i | ||||
\(490\) | −9.00848 | − | 33.5434i | −0.406962 | − | 1.51534i | ||||
\(491\) | −15.9353 | − | 27.6007i | −0.719149 | − | 1.24560i | −0.961337 | − | 0.275373i | \(-0.911199\pi\) |
0.242189 | − | 0.970229i | \(-0.422135\pi\) | |||||||
\(492\) | −0.668306 | − | 0.993777i | −0.0301296 | − | 0.0448029i | ||||
\(493\) | −23.9924 | + | 11.5541i | −1.08056 | + | 0.520371i | ||||
\(494\) | 1.49274 | − | 0.460449i | 0.0671614 | − | 0.0207166i | ||||
\(495\) | −35.9575 | + | 10.5913i | −1.61617 | + | 0.476044i | ||||
\(496\) | −28.3470 | − | 13.6512i | −1.27282 | − | 0.612958i | ||||
\(497\) | 31.6895 | + | 4.16278i | 1.42147 | + | 0.186726i | ||||
\(498\) | −11.2656 | + | 4.33873i | −0.504821 | + | 0.194423i | ||||
\(499\) | −11.9518 | + | 14.9870i | −0.535034 | + | 0.670912i | −0.973725 | − | 0.227726i | \(-0.926871\pi\) |
0.438691 | + | 0.898638i | \(0.355442\pi\) | |||||||
\(500\) | −0.643216 | + | 0.438537i | −0.0287655 | + | 0.0196120i | ||||
\(501\) | −8.38806 | + | 17.1377i | −0.374751 | + | 0.765655i | ||||
\(502\) | 24.4998 | − | 22.7325i | 1.09348 | − | 1.01460i | ||||
\(503\) | 1.51252 | + | 1.89664i | 0.0674400 | + | 0.0845670i | 0.814407 | − | 0.580294i | \(-0.197062\pi\) |
−0.746967 | + | 0.664861i | \(0.768491\pi\) | |||||||
\(504\) | −21.8896 | − | 6.60283i | −0.975041 | − | 0.294113i | ||||
\(505\) | −18.8251 | + | 23.6060i | −0.837707 | + | 1.05045i | ||||
\(506\) | −1.06151 | − | 14.1649i | −0.0471901 | − | 0.629708i | ||||
\(507\) | 5.60093 | + | 2.23951i | 0.248746 | + | 0.0994602i | ||||
\(508\) | −0.724921 | + | 1.25560i | −0.0321632 | + | 0.0557083i | ||||
\(509\) | 5.11117 | 0.226549 | 0.113274 | − | 0.993564i | \(-0.463866\pi\) | ||||
0.113274 | + | 0.993564i | \(0.463866\pi\) | |||||||
\(510\) | −34.8452 | − | 13.9327i | −1.54297 | − | 0.616951i | ||||
\(511\) | 0.130989 | − | 2.34445i | 0.00579460 | − | 0.103712i | ||||
\(512\) | 5.29585 | − | 23.2026i | 0.234046 | − | 1.02542i | ||||
\(513\) | −0.789365 | − | 1.20674i | −0.0348513 | − | 0.0532787i | ||||
\(514\) | 23.5577 | + | 3.55075i | 1.03908 | + | 0.156617i | ||||
\(515\) | −8.34857 | + | 10.4688i | −0.367882 | + | 0.461309i | ||||
\(516\) | −0.951229 | + | 0.210741i | −0.0418755 | + | 0.00927737i | ||||
\(517\) | −8.80272 | + | 2.71528i | −0.387143 | + | 0.119418i | ||||
\(518\) | −11.6744 | − | 7.63887i | −0.512942 | − | 0.335633i | ||||
\(519\) | 24.6366 | − | 19.3914i | 1.08143 | − | 0.851189i | ||||
\(520\) | 20.9249 | + | 36.2430i | 0.917617 | + | 1.58936i | ||||
\(521\) | −5.42123 | − | 9.38984i | −0.237508 | − | 0.411377i | 0.722490 | − | 0.691381i | \(-0.242997\pi\) |
−0.959999 | + | 0.280004i | \(0.909664\pi\) | |||||||
\(522\) | 1.57299 | + | 25.3175i | 0.0688477 | + | 1.10812i | ||||
\(523\) | 31.6175 | − | 21.5564i | 1.38253 | − | 0.942596i | 0.382710 | − | 0.923868i | \(-0.374991\pi\) |
0.999825 | − | 0.0187277i | \(-0.00596157\pi\) | |||||||
\(524\) | −0.00316854 | − | 0.00807330i | −0.000138418 | − | 0.000352684i | ||||
\(525\) | 34.9712 | + | 7.51924i | 1.52627 | + | 0.328167i | ||||
\(526\) | −3.93996 | + | 10.0389i | −0.171791 | + | 0.437715i | ||||
\(527\) | −7.96374 | − | 34.8914i | −0.346906 | − | 1.51989i | ||||
\(528\) | −10.2065 | + | 20.8530i | −0.444182 | + | 0.907509i | ||||
\(529\) | 12.9661 | + | 6.24415i | 0.563744 | + | 0.271485i | ||||
\(530\) | −17.9670 | − | 45.7793i | −0.780438 | − | 1.98852i | ||||
\(531\) | 1.46344 | − | 6.05485i | 0.0635077 | − | 0.262758i | ||||
\(532\) | 0.0218005 | + | 0.0525886i | 0.000945173 | + | 0.00228000i | ||||
\(533\) | 29.9134 | − | 20.3946i | 1.29569 | − | 0.883388i | ||||
\(534\) | 25.4455 | − | 9.79988i | 1.10113 | − | 0.424082i | ||||
\(535\) | −0.113826 | − | 0.105615i | −0.00492111 | − | 0.00456613i | ||||
\(536\) | 1.93612 | − | 25.8357i | 0.0836275 | − | 1.11593i | ||||
\(537\) | −19.4327 | + | 39.7030i | −0.838583 | + | 1.71331i | ||||
\(538\) | −3.19745 | + | 5.53815i | −0.137852 | + | 0.238767i | ||||
\(539\) | −18.5352 | − | 15.9324i | −0.798368 | − | 0.686257i | ||||
\(540\) | 1.00066 | − | 1.03792i | 0.0430615 | − | 0.0446650i | ||||
\(541\) | −7.21358 | + | 1.08727i | −0.310136 | + | 0.0467455i | −0.302266 | − | 0.953224i | \(-0.597743\pi\) |
−0.00786982 | + | 0.999969i | \(0.502505\pi\) | |||||||
\(542\) | 22.2643 | − | 10.7219i | 0.956334 | − | 0.460546i | ||||
\(543\) | 4.74514 | − | 15.0423i | 0.203634 | − | 0.645525i | ||||
\(544\) | 1.72462 | − | 0.830535i | 0.0739427 | − | 0.0356089i | ||||
\(545\) | −4.05612 | − | 54.1252i | −0.173745 | − | 2.31847i | ||||
\(546\) | 7.29203 | − | 24.7439i | 0.312070 | − | 1.05894i | ||||
\(547\) | 1.31477 | − | 17.5444i | 0.0562156 | − | 0.750145i | −0.895871 | − | 0.444315i | \(-0.853447\pi\) |
0.952086 | − | 0.305830i | \(-0.0989339\pi\) | |||||||
\(548\) | −0.548805 | − | 1.39833i | −0.0234438 | − | 0.0597338i | ||||
\(549\) | −3.03426 | + | 34.5692i | −0.129499 | + | 1.47538i | ||||
\(550\) | 13.8062 | − | 35.1777i | 0.588699 | − | 1.49998i | ||||
\(551\) | 1.24056 | − | 1.15107i | 0.0528498 | − | 0.0490374i | ||||
\(552\) | 8.16909 | + | 12.1475i | 0.347700 | + | 0.517032i | ||||
\(553\) | −17.3139 | + | 12.2923i | −0.736261 | + | 0.522721i | ||||
\(554\) | −4.29574 | − | 0.647479i | −0.182508 | − | 0.0275087i | ||||
\(555\) | 20.4890 | − | 11.6558i | 0.869711 | − | 0.494763i | ||||
\(556\) | 0.213009 | + | 0.933254i | 0.00903360 | + | 0.0395788i | ||||
\(557\) | −3.87397 | − | 6.70991i | −0.164145 | − | 0.284308i | 0.772206 | − | 0.635372i | \(-0.219153\pi\) |
−0.936351 | + | 0.351064i | \(0.885820\pi\) | |||||||
\(558\) | −33.6427 | − | 5.51035i | −1.42421 | − | 0.233272i | ||||
\(559\) | −6.55409 | − | 28.7153i | −0.277208 | − | 1.21453i | ||||
\(560\) | 29.6366 | − | 21.0410i | 1.25237 | − | 0.889146i | ||||
\(561\) | −25.7837 | + | 5.71229i | −1.08859 | + | 0.241173i | ||||
\(562\) | −3.90037 | + | 17.0886i | −0.164527 | + | 0.720840i | ||||
\(563\) | −7.20372 | − | 18.3548i | −0.303601 | − | 0.773562i | −0.998515 | − | 0.0544697i | \(-0.982653\pi\) |
0.694915 | − | 0.719092i | \(-0.255442\pi\) | |||||||
\(564\) | 0.242642 | − | 0.258185i | 0.0102171 | − | 0.0108716i | ||||
\(565\) | −8.59740 | + | 2.65195i | −0.361695 | + | 0.111568i | ||||
\(566\) | 4.05616 | − | 17.7712i | 0.170493 | − | 0.746978i | ||||
\(567\) | −23.8113 | − | 0.155072i | −0.999979 | − | 0.00651241i | ||||
\(568\) | 7.74336 | + | 33.9259i | 0.324904 | + | 1.42350i | ||||
\(569\) | 18.1550 | + | 31.4454i | 0.761097 | + | 1.31826i | 0.942286 | + | 0.334810i | \(0.108672\pi\) |
−0.181189 | + | 0.983448i | \(0.557995\pi\) | |||||||
\(570\) | 2.37704 | + | 0.193380i | 0.0995634 | + | 0.00809980i | ||||
\(571\) | −3.39291 | − | 1.04657i | −0.141989 | − | 0.0437977i | 0.222946 | − | 0.974831i | \(-0.428433\pi\) |
−0.364935 | + | 0.931033i | \(0.618909\pi\) | |||||||
\(572\) | 0.990277 | + | 0.476892i | 0.0414056 | + | 0.0199399i | ||||
\(573\) | −5.39126 | − | 1.26673i | −0.225223 | − | 0.0529185i | ||||
\(574\) | −20.8783 | − | 25.1845i | −0.871445 | − | 1.05118i | ||||
\(575\) | −14.2795 | − | 17.9059i | −0.595495 | − | 0.746728i | ||||
\(576\) | −1.54140 | − | 24.8090i | −0.0642249 | − | 1.03371i | ||||
\(577\) | 17.0392 | − | 43.4153i | 0.709353 | − | 1.80740i | 0.131403 | − | 0.991329i | \(-0.458052\pi\) |
0.577950 | − | 0.816072i | \(-0.303853\pi\) | |||||||
\(578\) | −2.58384 | − | 1.24431i | −0.107474 | − | 0.0517566i | ||||
\(579\) | −8.57185 | − | 28.4315i | −0.356234 | − | 1.18157i | ||||
\(580\) | 1.39803 | + | 0.953159i | 0.0580500 | + | 0.0395778i | ||||
\(581\) | 11.8710 | − | 5.99701i | 0.492491 | − | 0.248798i | ||||
\(582\) | 27.9401 | + | 16.3696i | 1.15815 | + | 0.678540i | ||||
\(583\) | −28.5946 | − | 19.4955i | −1.18427 | − | 0.807421i | ||||
\(584\) | 2.44292 | − | 0.753541i | 0.101089 | − | 0.0311818i | ||||
\(585\) | 31.5695 | + | 30.0502i | 1.30524 | + | 1.24242i | ||||
\(586\) | 10.7028 | − | 1.61319i | 0.442130 | − | 0.0666403i | ||||
\(587\) | −22.7701 | + | 39.4389i | −0.939822 | + | 1.62782i | −0.174021 | + | 0.984742i | \(0.555676\pi\) |
−0.765801 | + | 0.643078i | \(0.777657\pi\) | |||||||
\(588\) | 0.922651 | + | 0.180127i | 0.0380495 | + | 0.00742830i | ||||
\(589\) | 1.13720 | + | 1.96969i | 0.0468575 | + | 0.0811596i | ||||
\(590\) | 6.42349 | + | 8.05480i | 0.264451 | + | 0.331611i | ||||
\(591\) | −18.5721 | + | 7.15271i | −0.763953 | + | 0.294223i | ||||
\(592\) | 3.24878 | − | 14.2338i | 0.133524 | − | 0.585008i | ||||
\(593\) | 0.512291 | − | 6.83605i | 0.0210373 | − | 0.280723i | −0.976757 | − | 0.214348i | \(-0.931237\pi\) |
0.997795 | − | 0.0663754i | \(-0.0211435\pi\) | |||||||
\(594\) | −4.22432 | + | 24.7989i | −0.173326 | + | 1.01751i | ||||
\(595\) | 39.7310 | + | 11.4340i | 1.62881 | + | 0.468749i | ||||
\(596\) | 0.111503 | − | 1.48791i | 0.00456735 | − | 0.0609471i | ||||
\(597\) | 5.79643 | + | 1.36193i | 0.237232 | + | 0.0557400i | ||||
\(598\) | −13.6464 | + | 9.30393i | −0.558041 | + | 0.380466i | ||||
\(599\) | 8.16187 | − | 1.23020i | 0.333485 | − | 0.0502648i | 0.0198345 | − | 0.999803i | \(-0.493686\pi\) |
0.313651 | + | 0.949538i | \(0.398448\pi\) | |||||||
\(600\) | 5.55886 | + | 38.5463i | 0.226940 | + | 1.57365i | ||||
\(601\) | −28.4821 | + | 4.29299i | −1.16181 | + | 0.175115i | −0.701518 | − | 0.712652i | \(-0.747494\pi\) |
−0.460293 | + | 0.887767i | \(0.652256\pi\) | |||||||
\(602\) | −25.2779 | + | 8.32594i | −1.03025 | + | 0.339340i | ||||
\(603\) | −5.66828 | − | 26.3802i | −0.230830 | − | 1.07429i | ||||
\(604\) | −0.458585 | + | 0.312658i | −0.0186596 | + | 0.0127219i | ||||
\(605\) | −0.948968 | − | 4.15770i | −0.0385810 | − | 0.169035i | ||||
\(606\) | 8.67507 | + | 18.3117i | 0.352401 | + | 0.743861i | ||||
\(607\) | −10.9597 | −0.444841 | −0.222420 | − | 0.974951i | \(-0.571396\pi\) | ||||
−0.222420 | + | 0.974951i | \(0.571396\pi\) | |||||||
\(608\) | −0.0891744 | + | 0.0827418i | −0.00361650 | + | 0.00335562i | ||||
\(609\) | −4.51326 | − | 27.5789i | −0.182887 | − | 1.11755i | ||||
\(610\) | −42.0728 | − | 39.0379i | −1.70348 | − | 1.58060i | ||||
\(611\) | 7.85179 | + | 7.28539i | 0.317649 | + | 0.294735i | ||||
\(612\) | 0.753331 | − | 0.681324i | 0.0304516 | − | 0.0275409i | ||||
\(613\) | 42.1840 | + | 6.35821i | 1.70379 | + | 0.256806i | 0.927570 | − | 0.373651i | \(-0.121894\pi\) |
0.776225 | + | 0.630456i | \(0.217132\pi\) | |||||||
\(614\) | 16.9847 | − | 5.23910i | 0.685449 | − | 0.211433i | ||||
\(615\) | 53.9641 | − | 11.9556i | 2.17604 | − | 0.482095i | ||||
\(616\) | 9.25002 | − | 24.9515i | 0.372694 | − | 1.00532i | ||||
\(617\) | −22.9602 | + | 21.3040i | −0.924343 | + | 0.857665i | −0.990128 | − | 0.140169i | \(-0.955235\pi\) |
0.0657845 | + | 0.997834i | \(0.479045\pi\) | |||||||
\(618\) | 3.84722 | + | 8.12086i | 0.154758 | + | 0.326669i | ||||
\(619\) | 13.7569 | 0.552938 | 0.276469 | − | 0.961023i | \(-0.410836\pi\) | ||||
0.276469 | + | 0.961023i | \(0.410836\pi\) | |||||||
\(620\) | −1.66697 | + | 1.54672i | −0.0669471 | + | 0.0621178i | ||||
\(621\) | 11.7357 | + | 9.73181i | 0.470938 | + | 0.390524i | ||||
\(622\) | 5.01422 | − | 6.28763i | 0.201052 | − | 0.252111i | ||||
\(623\) | −26.8129 | + | 13.5454i | −1.07424 | + | 0.542686i | ||||
\(624\) | 26.9318 | − | 1.84569i | 1.07813 | − | 0.0738869i | ||||
\(625\) | 0.689611 | + | 3.02138i | 0.0275844 | + | 0.120855i | ||||
\(626\) | 29.3108 | − | 4.41789i | 1.17149 | − | 0.176574i | ||||
\(627\) | 1.45877 | − | 0.829870i | 0.0582578 | − | 0.0331418i | ||||
\(628\) | −1.10613 | − | 0.166723i | −0.0441395 | − | 0.00665296i | ||||
\(629\) | 14.9626 | − | 7.20562i | 0.596599 | − | 0.287307i | ||||
\(630\) | 24.3620 | − | 30.9429i | 0.970605 | − | 1.23280i | ||||
\(631\) | −27.1660 | − | 13.0825i | −1.08146 | − | 0.520805i | −0.193679 | − | 0.981065i | \(-0.562042\pi\) |
−0.887784 | + | 0.460260i | \(0.847756\pi\) | |||||||
\(632\) | −19.1012 | − | 13.0230i | −0.759804 | − | 0.518026i | ||||
\(633\) | 5.06749 | − | 1.12268i | 0.201415 | − | 0.0446227i | ||||
\(634\) | −0.391499 | + | 5.22419i | −0.0155484 | + | 0.207479i | ||||
\(635\) | −41.7207 | − | 52.3161i | −1.65563 | − | 2.07610i | ||||
\(636\) | 1.32671 | + | 0.107932i | 0.0526075 | + | 0.00427978i | ||||
\(637\) | −5.26748 | + | 27.9267i | −0.208705 | + | 1.10650i | ||||
\(638\) | −29.5236 | −1.16885 | ||||||||
\(639\) | 17.7190 | + | 31.6142i | 0.700952 | + | 1.25064i | ||||
\(640\) | 31.3752 | + | 21.3913i | 1.24022 | + | 0.845564i | ||||
\(641\) | 5.09104 | − | 22.3053i | 0.201084 | − | 0.881007i | −0.769194 | − | 0.639015i | \(-0.779342\pi\) |
0.970278 | − | 0.241992i | \(-0.0778008\pi\) | |||||||
\(642\) | −0.0972434 | + | 0.0374516i | −0.00383789 | + | 0.00147810i | ||||
\(643\) | 0.493200 | + | 6.58129i | 0.0194499 | + | 0.259541i | 0.998449 | + | 0.0556758i | \(0.0177313\pi\) |
−0.978999 | + | 0.203865i | \(0.934650\pi\) | |||||||
\(644\) | −0.384140 | − | 0.463369i | −0.0151372 | − | 0.0182593i | ||||
\(645\) | 6.98525 | − | 44.4209i | 0.275044 | − | 1.74907i | ||||
\(646\) | 1.66144 | + | 0.250422i | 0.0653686 | + | 0.00985273i | ||||
\(647\) | 1.82884 | + | 24.4042i | 0.0718992 | + | 0.959429i | 0.910186 | + | 0.414199i | \(0.135938\pi\) |
−0.838287 | + | 0.545229i | \(0.816443\pi\) | |||||||
\(648\) | −8.85313 | − | 24.3666i | −0.347784 | − | 0.957211i | ||||
\(649\) | 6.92798 | + | 2.13700i | 0.271947 | + | 0.0838846i | ||||
\(650\) | −43.4489 | + | 6.54886i | −1.70421 | + | 0.256868i | ||||
\(651\) | 37.4851 | + | 2.33415i | 1.46916 | + | 0.0914827i | ||||
\(652\) | −0.00508560 | 0.000766532i | −0.000199168 | 3.00197e-5i | ||||||
\(653\) | 19.1088 | + | 9.20232i | 0.747786 | + | 0.360115i | 0.768652 | − | 0.639668i | \(-0.220928\pi\) |
−0.0208660 | + | 0.999782i | \(0.506642\pi\) | |||||||
\(654\) | −33.8218 | − | 13.5235i | −1.32254 | − | 0.528812i | ||||
\(655\) | 0.400278 | 0.0156401 | ||||||||
\(656\) | 17.1169 | − | 29.6474i | 0.668303 | − | 1.15754i | ||||
\(657\) | 2.21880 | − | 1.47167i | 0.0865637 | − | 0.0574153i | ||||
\(658\) | 5.88958 | − | 7.67999i | 0.229600 | − | 0.299397i | ||||
\(659\) | 25.4095 | + | 23.5766i | 0.989815 | + | 0.918414i | 0.996668 | − | 0.0815621i | \(-0.0259909\pi\) |
−0.00685295 | + | 0.999977i | \(0.502181\pi\) | |||||||
\(660\) | 1.13348 | + | 1.23733i | 0.0441206 | + | 0.0481628i | ||||
\(661\) | 9.67274 | + | 24.6458i | 0.376226 | + | 0.958609i | 0.986106 | + | 0.166115i | \(0.0531223\pi\) |
−0.609880 | + | 0.792494i | \(0.708782\pi\) | |||||||
\(662\) | 11.4288 | + | 29.1201i | 0.444193 | + | 1.13179i | ||||
\(663\) | 20.7418 | + | 22.6421i | 0.805545 | + | 0.879348i | ||||
\(664\) | 10.6147 | + | 9.84900i | 0.411930 | + | 0.382215i | ||||
\(665\) | −2.62694 | + | 0.0498808i | −0.101868 | + | 0.00193430i | ||||
\(666\) | −0.980978 | − | 15.7890i | −0.0380121 | − | 0.611812i | ||||
\(667\) | −8.94634 | + | 15.4955i | −0.346404 | + | 0.599989i | ||||
\(668\) | 0.854135 | 0.0330475 | ||||||||
\(669\) | 4.81471 | + | 1.92514i | 0.186147 | + | 0.0744303i | ||||
\(670\) | 40.2068 | + | 19.3626i | 1.55332 | + | 0.748041i | ||||
\(671\) | −39.9383 | − | 6.01973i | −1.54180 | − | 0.232389i | ||||
\(672\) | 0.324423 | + | 1.98243i | 0.0125149 | + | 0.0764741i | ||||
\(673\) | 43.1566 | − | 6.50482i | 1.66357 | − | 0.250742i | 0.751187 | − | 0.660089i | \(-0.229482\pi\) |
0.912379 | + | 0.409347i | \(0.134243\pi\) | |||||||
\(674\) | −6.60340 | − | 2.03688i | −0.254353 | − | 0.0784576i | ||||
\(675\) | 16.8962 | + | 36.8730i | 0.650336 | + | 1.41924i | ||||
\(676\) | −0.0201791 | − | 0.269272i | −0.000776120 | − | 0.0103566i | ||||
\(677\) | 4.23105 | + | 0.637729i | 0.162613 | + | 0.0245099i | 0.229844 | − | 0.973228i | \(-0.426178\pi\) |
−0.0672313 | + | 0.997737i | \(0.521417\pi\) | |||||||
\(678\) | −0.937953 | + | 5.96467i | −0.0360219 | + | 0.229072i | ||||
\(679\) | −32.4303 | − | 14.8659i | −1.24456 | − | 0.570500i | ||||
\(680\) | 3.36382 | + | 44.8870i | 0.128996 | + | 1.72134i | ||||
\(681\) | −15.6398 | + | 6.02341i | −0.599320 | + | 0.230818i | ||||
\(682\) | 8.82921 | − | 38.6833i | 0.338088 | − | 1.48126i | ||||
\(683\) | −4.04835 | − | 2.76012i | −0.154906 | − | 0.105613i | 0.483387 | − | 0.875407i | \(-0.339407\pi\) |
−0.638293 | + | 0.769794i | \(0.720359\pi\) | |||||||
\(684\) | −0.0329853 | + | 0.0554864i | −0.00126123 | + | 0.00212158i | ||||
\(685\) | 69.3300 | 2.64896 | ||||||||
\(686\) | 25.5688 | + | 2.37554i | 0.976220 | + | 0.0906986i | ||||
\(687\) | 23.3569 | + | 1.90016i | 0.891122 | + | 0.0724956i | ||||
\(688\) | −17.3647 | − | 21.7746i | −0.662021 | − | 0.830149i | ||||
\(689\) | −3.00715 | + | 40.1276i | −0.114563 | + | 1.52874i | ||||
\(690\) | −24.6182 | + | 5.45407i | −0.937198 | + | 0.207633i | ||||
\(691\) | −13.6241 | − | 9.28875i | −0.518285 | − | 0.353361i | 0.275753 | − | 0.961228i | \(-0.411073\pi\) |
−0.794038 | + | 0.607868i | \(0.792025\pi\) | |||||||
\(692\) | −1.26452 | − | 0.608960i | −0.0480697 | − | 0.0231492i | ||||
\(693\) | 1.89869 | − | 27.6491i | 0.0721251 | − | 1.05030i | ||||
\(694\) | 6.74529 | − | 3.24836i | 0.256048 | − | 0.123306i | ||||
\(695\) | −43.6868 | − | 6.58473i | −1.65714 | − | 0.249773i | ||||
\(696\) | 26.4461 | − | 15.0447i | 1.00244 | − | 0.570269i | ||||
\(697\) | 38.5058 | − | 5.80381i | 1.45851 | − | 0.219835i | ||||
\(698\) | −3.54603 | − | 15.5362i | −0.134219 | − | 0.588053i | ||||
\(699\) | −9.63884 | + | 0.660571i | −0.364574 | + | 0.0249851i | ||||
\(700\) | −0.385889 | − | 1.55408i | −0.0145852 | − | 0.0587386i | ||||
\(701\) | −23.9110 | + | 29.9835i | −0.903107 | + | 1.13246i | 0.0875610 | + | 0.996159i | \(0.472093\pi\) |
−0.990668 | + | 0.136301i | \(0.956479\pi\) | |||||||
\(702\) | 27.4273 | − | 10.1636i | 1.03518 | − | 0.383599i | ||||
\(703\) | −0.773666 | + | 0.717857i | −0.0291793 | + | 0.0270745i | ||||
\(704\) | 28.9306 | 1.09036 | ||||||||
\(705\) | 7.00101 | + | 14.7780i | 0.263673 | + | 0.556572i | ||||
\(706\) | −33.3125 | + | 30.9095i | −1.25373 | + | 1.16329i | ||||
\(707\) | −11.5266 | − | 19.1170i | −0.433501 | − | 0.718969i | ||||
\(708\) | −0.272250 | + | 0.0603159i | −0.0102318 | + | 0.00226681i | ||||
\(709\) | 12.6185 | − | 3.89228i | 0.473897 | − | 0.146178i | −0.0486014 | − | 0.998818i | \(-0.515476\pi\) |
0.522498 | + | 0.852641i | \(0.325000\pi\) | |||||||
\(710\) | −59.2699 | − | 8.93350i | −2.22436 | − | 0.335268i | ||||
\(711\) | −22.9148 | − | 7.38949i | −0.859371 | − | 0.277128i | ||||
\(712\) | −23.9754 | − | 22.2459i | −0.898515 | − | 0.833700i | ||||
\(713\) | −17.6276 | − | 16.3560i | −0.660158 | − | 0.612537i | ||||
\(714\) | 18.6139 | − | 20.5754i | 0.696606 | − | 0.770015i | ||||
\(715\) | −37.1863 | + | 34.5038i | −1.39069 | + | 1.29037i | ||||
\(716\) | 1.97878 | 0.0739505 | ||||||||
\(717\) | −16.9166 | − | 35.7082i | −0.631762 | − | 1.33355i | ||||
\(718\) | 2.29617 | + | 10.0602i | 0.0856921 | + | 0.375442i | ||||
\(719\) | −18.2091 | + | 12.4147i | −0.679084 | + | 0.462992i | −0.853097 | − | 0.521752i | \(-0.825279\pi\) |
0.174013 | + | 0.984743i | \(0.444326\pi\) | |||||||
\(720\) | 39.2238 | + | 12.6488i | 1.46178 | + | 0.471392i | ||||
\(721\) | −5.11181 | − | 8.47802i | −0.190374 | − | 0.315738i | ||||
\(722\) | 25.9442 | − | 3.91046i | 0.965544 | − | 0.145532i | ||||
\(723\) | −2.91770 | − | 20.2319i | −0.108510 | − | 0.752433i | ||||
\(724\) | −0.698193 | + | 0.105236i | −0.0259481 | + | 0.00391105i | ||||
\(725\) | −39.3302 | + | 26.8149i | −1.46069 | + | 0.995881i | ||||
\(726\) | −2.78612 | − | 0.654626i | −0.103403 | − | 0.0242955i | ||||
\(727\) | 1.41155 | − | 18.8359i | 0.0523516 | − | 0.698584i | −0.907853 | − | 0.419288i | \(-0.862280\pi\) |
0.960205 | − | 0.279296i | \(-0.0901011\pi\) | |||||||
\(728\) | −30.5027 | + | 5.19160i | −1.13051 | + | 0.192413i | ||||
\(729\) | −16.0147 | − | 21.7377i | −0.593138 | − | 0.805101i | ||||
\(730\) | −0.329075 | + | 4.39120i | −0.0121796 | + | 0.162526i | ||||
\(731\) | 7.04946 | − | 30.8857i | 0.260734 | − | 1.14235i | ||||
\(732\) | 1.44965 | − | 0.558309i | 0.0535807 | − | 0.0206357i | ||||
\(733\) | −30.6337 | − | 38.4135i | −1.13148 | − | 1.41883i | −0.894356 | − | 0.447355i | \(-0.852366\pi\) |
−0.237126 | − | 0.971479i | \(-0.576205\pi\) | |||||||
\(734\) | 11.1996 | + | 19.3983i | 0.413385 | + | 0.716004i | ||||
\(735\) | −23.2961 | + | 36.6024i | −0.859291 | + | 1.35010i | ||||
\(736\) | 0.643083 | − | 1.11385i | 0.0237043 | − | 0.0410571i | ||||
\(737\) | 31.0537 | − | 4.68059i | 1.14388 | − | 0.172412i | ||||
\(738\) | 8.71444 | − | 36.0553i | 0.320783 | − | 1.32721i | ||||
\(739\) | −30.0310 | + | 9.26334i | −1.10471 | + | 0.340758i | −0.792878 | − | 0.609380i | \(-0.791418\pi\) |
−0.311831 | + | 0.950138i | \(0.600942\pi\) | |||||||
\(740\) | −0.871867 | − | 0.594429i | −0.0320505 | − | 0.0218516i | ||||
\(741\) | −1.68373 | − | 0.986464i | −0.0618533 | − | 0.0362387i | ||||
\(742\) | 36.3535 | − | 0.690286i | 1.33458 | − | 0.0253412i | ||||
\(743\) | −21.7631 | − | 14.8378i | −0.798411 | − | 0.544347i | 0.0939992 | − | 0.995572i | \(-0.470035\pi\) |
−0.892410 | + | 0.451225i | \(0.850987\pi\) | |||||||
\(744\) | 11.8035 | + | 39.1504i | 0.432737 | + | 1.43532i | ||||
\(745\) | 62.0445 | + | 29.8791i | 2.27313 | + | 1.09468i | ||||
\(746\) | −1.65771 | + | 4.22377i | −0.0606930 | + | 0.154643i | ||||
\(747\) | 13.5026 | + | 6.71589i | 0.494033 | + | 0.245721i | ||||
\(748\) | 0.737089 | + | 0.924280i | 0.0269506 | + | 0.0337950i | ||||
\(749\) | 0.102469 | − | 0.0517657i | 0.00374415 | − | 0.00189148i | ||||
\(750\) | −23.4732 | − | 5.51525i | −0.857118 | − | 0.201389i | ||||
\(751\) | 22.5803 | + | 10.8741i | 0.823965 | + | 0.396801i | 0.797848 | − | 0.602858i | \(-0.205972\pi\) |
0.0261169 | + | 0.999659i | \(0.491686\pi\) | |||||||
\(752\) | 9.67817 | + | 2.98532i | 0.352926 | + | 0.108863i | ||||
\(753\) | −41.6128 | − | 3.38533i | −1.51645 | − | 0.123368i | ||||
\(754\) | 17.1640 | + | 29.7290i | 0.625077 | + | 1.08266i | ||||
\(755\) | −5.70015 | − | 24.9740i | −0.207450 | − | 0.908897i | ||||
\(756\) | 0.462361 | + | 0.960441i | 0.0168159 | + | 0.0349309i | ||||
\(757\) | 7.79146 | − | 34.1366i | 0.283185 | − | 1.24072i | −0.610498 | − | 0.792018i | \(-0.709031\pi\) |
0.893683 | − | 0.448699i | \(-0.148112\pi\) | |||||||
\(758\) | 6.81850 | − | 2.10323i | 0.247659 | − | 0.0763927i | ||||
\(759\) | −12.1520 | + | 12.9304i | −0.441088 | + | 0.469343i | ||||
\(760\) | −1.04510 | − | 2.66286i | −0.0379096 | − | 0.0965921i | ||||
\(761\) | −6.40488 | + | 28.0616i | −0.232177 | + | 1.01723i | 0.715653 | + | 0.698456i | \(0.246129\pi\) |
−0.947830 | + | 0.318777i | \(0.896728\pi\) | |||||||
\(762\) | −43.8434 | + | 9.71336i | −1.58828 | + | 0.351878i | ||||
\(763\) | 38.5642 | + | 11.0982i | 1.39612 | + | 0.401782i | ||||
\(764\) | 0.0551659 | + | 0.241698i | 0.00199583 | + | 0.00874431i | ||||
\(765\) | 16.5692 | + | 43.8534i | 0.599060 | + | 1.58552i | ||||
\(766\) | −16.4103 | − | 28.4235i | −0.592930 | − | 1.02698i | ||||
\(767\) | −1.87583 | − | 8.21856i | −0.0677324 | − | 0.296755i | ||||
\(768\) | −2.79723 | + | 1.59129i | −0.100936 | + | 0.0574209i | ||||
\(769\) | −39.9190 | − | 6.01683i | −1.43952 | − | 0.216972i | −0.617561 | − | 0.786523i | \(-0.711879\pi\) |
−0.821956 | + | 0.569551i | \(0.807117\pi\) | |||||||
\(770\) | 34.1865 | + | 30.5333i | 1.23200 | + | 1.10035i | ||||
\(771\) | −16.6077 | − | 24.6957i | −0.598110 | − | 0.889395i | ||||
\(772\) | −0.974465 | + | 0.904171i | −0.0350718 | + | 0.0325418i | ||||
\(773\) | −3.15822 | + | 8.04702i | −0.113593 | + | 0.289431i | −0.976353 | − | 0.216184i | \(-0.930639\pi\) |
0.862759 | + | 0.505615i | \(0.168734\pi\) | |||||||
\(774\) | −24.7148 | − | 17.3159i | −0.888355 | − | 0.622407i | ||||
\(775\) | −23.3723 | − | 59.5517i | −0.839559 | − | 2.13916i | ||||
\(776\) | 2.90262 | − | 38.7328i | 0.104198 | − | 1.39043i | ||||
\(777\) | 2.81465 | + | 17.1993i | 0.100975 | + | 0.617023i | ||||
\(778\) | −1.21370 | − | 16.1957i | −0.0435132 | − | 0.580644i | ||||
\(779\) | −2.22964 | + | 1.07374i | −0.0798850 | + | 0.0384706i | ||||
\(780\) | 0.586967 | − | 1.86070i | 0.0210168 | − | 0.0666239i | ||||
\(781\) | −38.0035 | + | 18.3015i | −1.35987 | + | 0.654879i | ||||
\(782\) | −17.5662 | + | 2.64767i | −0.628164 | + | 0.0946805i | ||||
\(783\) | 21.9933 | − | 22.8122i | 0.785975 | − | 0.815242i | ||||
\(784\) | 6.96994 | + | 25.9528i | 0.248926 | + | 0.926885i | ||||
\(785\) | 25.8141 | − | 44.7113i | 0.921344 | − | 1.59582i | ||||
\(786\) | 0.118093 | − | 0.241276i | 0.00421224 | − | 0.00860604i | ||||
\(787\) | 3.77500 | − | 50.3739i | 0.134564 | − | 1.79564i | −0.366698 | − | 0.930340i | \(-0.619512\pi\) |
0.501262 | − | 0.865296i | \(-0.332869\pi\) | |||||||
\(788\) | 0.653083 | + | 0.605972i | 0.0232651 | + | 0.0215869i | ||||
\(789\) | 12.5717 | − | 4.84176i | 0.447563 | − | 0.172371i | ||||
\(790\) | 32.9014 | − | 22.4318i | 1.17058 | − | 0.798087i | ||||
\(791\) | 0.371080 | − | 6.64161i | 0.0131941 | − | 0.236148i | ||||
\(792\) | 28.9444 | − | 8.52560i | 1.02849 | − | 0.302944i | ||||
\(793\) | 17.1572 | + | 43.7159i | 0.609271 | + | 1.55240i | ||||
\(794\) | −1.80881 | − | 0.871075i | −0.0641921 | − | 0.0309133i | ||||
\(795\) | −27.0076 | + | 55.1792i | −0.957859 | + | 1.95700i | ||||
\(796\) | −0.0593117 | − | 0.259862i | −0.00210225 | − | 0.00921055i | ||||
\(797\) | 5.71583 | − | 14.5637i | 0.202465 | − | 0.515872i | −0.793192 | − | 0.608972i | \(-0.791582\pi\) |
0.995657 | + | 0.0930994i | \(0.0296774\pi\) | |||||||
\(798\) | −0.744955 | + | 1.59816i | −0.0263711 | + | 0.0565744i | ||||
\(799\) | 4.20897 | + | 10.7243i | 0.148903 | + | 0.379398i | ||||
\(800\) | 2.82714 | − | 1.92751i | 0.0999546 | − | 0.0681479i | ||||
\(801\) | −30.4982 | − | 15.1691i | −1.07760 | − | 0.535975i | ||||
\(802\) | 6.65225 | + | 11.5220i | 0.234899 | + | 0.406857i | ||||
\(803\) | 1.54943 | + | 2.68368i | 0.0546780 | + | 0.0947051i | ||||
\(804\) | −0.949131 | + | 0.747059i | −0.0334733 | + | 0.0263467i | ||||
\(805\) | 26.3848 | − | 8.69055i | 0.929944 | − | 0.306302i | ||||
\(806\) | −44.0855 | + | 13.5986i | −1.55284 | + | 0.478989i | ||||
\(807\) | 7.79939 | − | 1.72793i | 0.274551 | − | 0.0608259i | ||||
\(808\) | 15.1535 | − | 19.0019i | 0.533098 | − | 0.668484i | ||||
\(809\) | −30.2372 | − | 4.55752i | −1.06308 | − | 0.160234i | −0.405863 | − | 0.913934i | \(-0.633029\pi\) |
−0.657219 | + | 0.753700i | \(0.728267\pi\) | |||||||
\(810\) | 44.6409 | + | 1.13852i | 1.56852 | + | 0.0400033i | ||||
\(811\) | −8.71311 | + | 38.1746i | −0.305959 | + | 1.34049i | 0.555013 | + | 0.831841i | \(0.312713\pi\) |
−0.860972 | + | 0.508652i | \(0.830144\pi\) | |||||||
\(812\) | −1.02006 | + | 0.724209i | −0.0357970 | + | 0.0254147i | ||||
\(813\) | −28.6632 | − | 11.4609i | −1.00526 | − | 0.401950i | ||||
\(814\) | 18.4121 | 0.645343 | ||||||||
\(815\) | 0.118684 | − | 0.205567i | 0.00415732 | − | 0.00720068i | ||||
\(816\) | 26.9600 | + | 10.7799i | 0.943789 | + | 0.377370i | ||||
\(817\) | 0.150453 | + | 2.00766i | 0.00526369 | + | 0.0702390i | ||||
\(818\) | 0.932195 | − | 1.16894i | 0.0325934 | − | 0.0408709i | ||||
\(819\) | −28.9453 | + | 14.1624i | −1.01143 | + | 0.494874i | ||||
\(820\) | −1.54269 | − | 1.93448i | −0.0538732 | − | 0.0675549i | ||||
\(821\) | 36.4731 | − | 33.8421i | 1.27292 | − | 1.18110i | 0.298990 | − | 0.954256i | \(-0.403350\pi\) |
0.973932 | − | 0.226842i | \(-0.0728401\pi\) | |||||||
\(822\) | 20.4543 | − | 41.7902i | 0.713425 | − | 1.45760i | ||||
\(823\) | 8.89269 | − | 6.06293i | 0.309980 | − | 0.211340i | −0.398330 | − | 0.917242i | \(-0.630410\pi\) |
0.708310 | + | 0.705901i | \(0.249458\pi\) | |||||||
\(824\) | 6.72028 | − | 8.42696i | 0.234112 | − | 0.293567i | ||||
\(825\) | −44.0529 | + | 16.9662i | −1.53373 | + | 0.590688i | ||||
\(826\) | −7.23474 | + | 2.38295i | −0.251729 | + | 0.0829135i | ||||
\(827\) | −47.9643 | − | 23.0984i | −1.66788 | − | 0.803209i | −0.998163 | − | 0.0605938i | \(-0.980701\pi\) |
−0.669718 | − | 0.742615i | \(-0.733585\pi\) | |||||||
\(828\) | 0.160337 | − | 0.663380i | 0.00557209 | − | 0.0230541i | ||||
\(829\) | −38.9571 | + | 12.0167i | −1.35303 | + | 0.417356i | −0.884686 | − | 0.466188i | \(-0.845627\pi\) |
−0.468349 | + | 0.883544i | \(0.655151\pi\) | |||||||
\(830\) | −22.4717 | + | 10.8218i | −0.780006 | + | 0.375631i | ||||
\(831\) | 3.02841 | + | 4.50327i | 0.105054 | + | 0.156217i | ||||
\(832\) | −16.8193 | − | 29.1319i | −0.583105 | − | 1.00997i | ||||
\(833\) | −18.1373 | + | 24.6046i | −0.628421 | + | 0.852500i | ||||
\(834\) | −16.8579 | + | 24.3905i | −0.583742 | + | 0.844575i | ||||
\(835\) | −14.4021 | + | 36.6960i | −0.498406 | + | 1.26992i | ||||
\(836\) | −0.0620750 | − | 0.0423220i | −0.00214691 | − | 0.00146374i | ||||
\(837\) | 23.3125 | + | 35.6389i | 0.805799 | + | 1.23186i | ||||
\(838\) | −3.64541 | + | 48.6446i | −0.125929 | + | 1.68040i | ||||
\(839\) | −22.5678 | + | 15.3865i | −0.779129 | + | 0.531201i | −0.886340 | − | 0.463035i | \(-0.846760\pi\) |
0.107211 | + | 0.994236i | \(0.465808\pi\) | |||||||
\(840\) | −46.1823 | − | 9.92979i | −1.59344 | − | 0.342610i | ||||
\(841\) | 6.76600 | + | 4.61298i | 0.233311 | + | 0.159068i | ||||
\(842\) | 16.0294 | − | 20.1003i | 0.552411 | − | 0.692701i | ||||
\(843\) | 19.0319 | − | 10.8269i | 0.655495 | − | 0.372899i | ||||
\(844\) | −0.144866 | − | 0.181657i | −0.00498650 | − | 0.00625288i | ||||
\(845\) | 11.9089 | + | 3.67341i | 0.409679 | + | 0.126369i | ||||
\(846\) | 10.9733 | + | 0.139908i | 0.377269 | + | 0.00481012i | ||||
\(847\) | 3.12617 | + | 0.410658i | 0.107416 | + | 0.0141104i | ||||
\(848\) | 13.9012 | + | 35.4198i | 0.477371 | + | 1.21632i | ||||
\(849\) | −19.7921 | + | 11.2594i | −0.679264 | + | 0.386421i | ||||
\(850\) | −45.1610 | − | 13.9303i | −1.54901 | − | 0.477807i | ||||
\(851\) | 5.57930 | − | 9.66363i | 0.191256 | − | 0.331265i | ||||
\(852\) | 0.922424 | − | 1.33459i | 0.0316017 | − | 0.0457223i | ||||
\(853\) | −2.04525 | − | 0.630876i | −0.0700281 | − | 0.0216008i | 0.259543 | − | 0.965731i | \(-0.416428\pi\) |
−0.329571 | + | 0.944131i | \(0.606904\pi\) | |||||||
\(854\) | 37.8752 | − | 19.1339i | 1.29606 | − | 0.654749i | ||||
\(855\) | −1.82766 | − | 2.35273i | −0.0625047 | − | 0.0804617i | ||||
\(856\) | 0.0916253 | + | 0.0850159i | 0.00313169 | + | 0.00290578i | ||||
\(857\) | −20.7542 | + | 26.0249i | −0.708950 | + | 0.888995i | −0.997656 | − | 0.0684224i | \(-0.978203\pi\) |
0.288706 | + | 0.957418i | \(0.406775\pi\) | |||||||
\(858\) | 9.82695 | + | 32.5944i | 0.335487 | + | 1.11276i | ||||
\(859\) | 4.85065 | − | 21.2521i | 0.165502 | − | 0.725112i | −0.822256 | − | 0.569118i | \(-0.807285\pi\) |
0.987758 | − | 0.155994i | \(-0.0498580\pi\) | |||||||
\(860\) | −1.92351 | + | 0.593326i | −0.0655913 | + | 0.0202322i | ||||
\(861\) | −5.58060 | + | 40.4826i | −0.190186 | + | 1.37964i | ||||
\(862\) | −9.19287 | − | 2.83562i | −0.313110 | − | 0.0965818i | ||||
\(863\) | 21.2045 | − | 36.7272i | 0.721809 | − | 1.25021i | −0.238465 | − | 0.971151i | \(-0.576644\pi\) |
0.960274 | − | 0.279059i | \(-0.0900224\pi\) | |||||||
\(864\) | −1.58092 | + | 1.63979i | −0.0537841 | + | 0.0557869i | ||||
\(865\) | 47.4844 | − | 44.0591i | 1.61452 | − | 1.49805i | ||||
\(866\) | 2.43337 | + | 32.4710i | 0.0826892 | + | 1.10341i | ||||
\(867\) | 1.03412 | + | 3.43001i | 0.0351206 | + | 0.116489i | ||||
\(868\) | −0.643841 | − | 1.55311i | −0.0218534 | − | 0.0527161i | ||||
\(869\) | 10.2378 | − | 26.0856i | 0.347295 | − | 0.884893i | ||||
\(870\) | 7.48053 | + | 51.8716i | 0.253614 | + | 1.75861i | ||||
\(871\) | −22.7667 | − | 28.5486i | −0.771421 | − | 0.967331i | ||||
\(872\) | 3.26502 | + | 43.5687i | 0.110568 | + | 1.47542i | ||||
\(873\) | −8.49787 | − | 39.5492i | −0.287609 | − | 1.33854i | ||||
\(874\) | 1.01715 | − | 0.489834i | 0.0344056 | − | 0.0165689i | ||||
\(875\) | 26.3381 | + | 3.45981i | 0.890390 | + | 0.116963i | ||||
\(876\) | −0.102837 | − | 0.0602504i | −0.00347455 | − | 0.00203567i | ||||
\(877\) | −7.38248 | + | 3.55522i | −0.249289 | + | 0.120051i | −0.554356 | − | 0.832280i | \(-0.687035\pi\) |
0.305067 | + | 0.952331i | \(0.401321\pi\) | |||||||
\(878\) | −1.06914 | − | 0.992020i | −0.0360818 | − | 0.0334790i | ||||
\(879\) | −10.5172 | − | 8.49740i | −0.354735 | − | 0.286610i | ||||
\(880\) | −17.5244 | + | 44.6514i | −0.590746 | + | 1.50520i | ||||
\(881\) | 9.07533 | 0.305756 | 0.152878 | − | 0.988245i | \(-0.451146\pi\) | ||||
0.152878 | + | 0.988245i | \(0.451146\pi\) | |||||||
\(882\) | 15.1899 | + | 24.8410i | 0.511470 | + | 0.836439i | ||||
\(883\) | −8.36719 | −0.281578 | −0.140789 | − | 0.990040i | \(-0.544964\pi\) | ||||
−0.140789 | + | 0.990040i | \(0.544964\pi\) | |||||||
\(884\) | 0.502191 | − | 1.27956i | 0.0168905 | − | 0.0430364i | ||||
\(885\) | 1.99924 | − | 12.7136i | 0.0672036 | − | 0.427363i | ||||
\(886\) | 10.5534 | + | 9.79213i | 0.354549 | + | 0.328973i | ||||
\(887\) | 29.0829 | − | 14.0056i | 0.976508 | − | 0.470262i | 0.123606 | − | 0.992331i | \(-0.460554\pi\) |
0.852903 | + | 0.522070i | \(0.174840\pi\) | |||||||
\(888\) | −16.4929 | + | 9.38250i | −0.553465 | + | 0.314856i | ||||
\(889\) | 46.9897 | − | 15.4773i | 1.57599 | − | 0.519092i | ||||
\(890\) | 50.7568 | − | 24.4432i | 1.70137 | − | 0.819338i | ||||
\(891\) | 26.4074 | − | 17.0346i | 0.884683 | − | 0.570680i | ||||
\(892\) | −0.0173465 | − | 0.231473i | −0.000580804 | − | 0.00775029i | ||||
\(893\) | −0.456486 | − | 0.572415i | −0.0152757 | − | 0.0191551i | ||||
\(894\) | 36.3151 | − | 28.5835i | 1.21456 | − | 0.955976i | ||||
\(895\) | −33.3655 | + | 85.0139i | −1.11529 | + | 2.84170i | ||||
\(896\) | −22.8927 | + | 16.2531i | −0.764790 | + | 0.542976i | ||||
\(897\) | 20.0851 | + | 4.71919i | 0.670622 | + | 0.157569i | ||||
\(898\) | −0.148093 | − | 1.97616i | −0.00494192 | − | 0.0659454i | ||||
\(899\) | −36.6379 | + | 33.9950i | −1.22194 | + | 1.13380i | ||||
\(900\) | 1.15006 | − | 1.40500i | 0.0383352 | − | 0.0468333i | ||||
\(901\) | −21.6408 | + | 37.4830i | −0.720959 | + | 1.24874i | ||||
\(902\) | 41.2546 | + | 12.7254i | 1.37363 | + | 0.423708i | ||||
\(903\) | 28.9991 | + | 16.2585i | 0.965030 | + | 0.541050i | ||||
\(904\) | 6.92058 | − | 2.13472i | 0.230175 | − | 0.0709996i | ||||
\(905\) | 7.25146 | − | 31.7707i | 0.241047 | − | 1.05609i | ||||
\(906\) | −16.7353 | − | 3.93213i | −0.555994 | − | 0.130636i | ||||
\(907\) | −34.5051 | + | 43.2680i | −1.14572 | + | 1.43669i | −0.264252 | + | 0.964454i | \(0.585125\pi\) |
−0.881471 | + | 0.472238i | \(0.843446\pi\) | |||||||
\(908\) | 0.549971 | + | 0.510299i | 0.0182514 | + | 0.0169349i | ||||
\(909\) | 9.54717 | − | 23.4425i | 0.316660 | − | 0.777539i | ||||
\(910\) | 10.8709 | − | 52.1754i | 0.360366 | − | 1.72960i | ||||
\(911\) | 27.5662 | + | 8.50305i | 0.913310 | + | 0.281719i | 0.715574 | − | 0.698537i | \(-0.246165\pi\) |
0.197735 | + | 0.980255i | \(0.436641\pi\) | |||||||
\(912\) | −1.83914 | − | 0.149620i | −0.0609000 | − | 0.00495441i | ||||
\(913\) | −8.77603 | + | 15.2005i | −0.290444 | + | 0.503064i | ||||
\(914\) | −12.2094 | − | 3.76609i | −0.403850 | − | 0.124571i | ||||
\(915\) | −0.457033 | + | 71.6951i | −0.0151090 | + | 2.37017i | ||||
\(916\) | −0.383254 | − | 0.976516i | −0.0126631 | − | 0.0322650i | ||||
\(917\) | −0.102871 | + | 0.277489i | −0.00339709 | + | 0.00916348i | ||||
\(918\) | 31.3220 | + | 2.95055i | 1.03378 | + | 0.0973828i | ||||
\(919\) | 20.2776 | + | 6.25481i | 0.668896 | + | 0.206327i | 0.610560 | − | 0.791970i | \(-0.290944\pi\) |
0.0583361 | + | 0.998297i | \(0.481421\pi\) | |||||||
\(920\) | 18.8572 | + | 23.6462i | 0.621705 | + | 0.779593i | ||||
\(921\) | −19.1579 | − | 11.2242i | −0.631273 | − | 0.369851i | ||||
\(922\) | −2.97000 | + | 3.72427i | −0.0978119 | + | 0.122652i | ||||
\(923\) | 40.5228 | + | 27.6280i | 1.33382 | + | 0.909386i | ||||
\(924\) | −1.14907 | + | 0.467782i | −0.0378015 | + | 0.0153889i | ||||
\(925\) | 24.5279 | − | 16.7229i | 0.806473 | − | 0.549844i | ||||
\(926\) | 3.02158 | − | 40.3202i | 0.0992952 | − | 1.32500i | ||||
\(927\) | 4.23398 | − | 10.3963i | 0.139062 | − | 0.341459i | ||||
\(928\) | −2.20872 | − | 1.50588i | −0.0725047 | − | 0.0494329i | ||||
\(929\) | −14.8508 | + | 37.8393i | −0.487239 | + | 1.24147i | 0.450078 | + | 0.892989i | \(0.351396\pi\) |
−0.937318 | + | 0.348477i | \(0.886699\pi\) | |||||||
\(930\) | −70.2019 | − | 5.71115i | −2.30201 | − | 0.187276i | ||||
\(931\) | 0.640540 | − | 1.83392i | 0.0209928 | − | 0.0601043i | ||||
\(932\) | 0.216248 | + | 0.374553i | 0.00708345 | + | 0.0122689i | ||||
\(933\) | −10.0228 | + | 0.686883i | −0.328131 | + | 0.0224875i | ||||
\(934\) | 11.9502 | − | 5.75490i | 0.391022 | − | 0.188306i | ||||
\(935\) | −52.1381 | + | 16.0825i | −1.70510 | + | 0.525954i | ||||
\(936\) | −25.4122 | − | 24.1893i | −0.830625 | − | 0.790651i | ||||
\(937\) | −39.5879 | − | 19.0645i | −1.29328 | − | 0.622812i | −0.344512 | − | 0.938782i | \(-0.611956\pi\) |
−0.948769 | + | 0.315970i | \(0.897670\pi\) | |||||||
\(938\) | −23.7560 | + | 22.8968i | −0.775660 | + | 0.747608i | ||||
\(939\) | −28.8023 | − | 23.2710i | −0.939928 | − | 0.759420i | ||||
\(940\) | 0.456408 | − | 0.572318i | 0.0148864 | − | 0.0186669i | ||||
\(941\) | −5.20263 | + | 3.54709i | −0.169601 | + | 0.115632i | −0.645146 | − | 0.764060i | \(-0.723203\pi\) |
0.475545 | + | 0.879691i | \(0.342251\pi\) | |||||||
\(942\) | −19.3348 | − | 28.7511i | −0.629963 | − | 0.936761i | ||||
\(943\) | 19.1801 | − | 17.7965i | 0.624589 | − | 0.579534i | ||||
\(944\) | −4.96991 | − | 6.23207i | −0.161757 | − | 0.202837i | ||||
\(945\) | −49.0593 | + | 3.66969i | −1.59590 | + | 0.119375i | ||||
\(946\) | 21.8988 | − | 27.4602i | 0.711990 | − | 0.892807i | ||||
\(947\) | −3.63746 | − | 48.5386i | −0.118202 | − | 1.57729i | −0.669390 | − | 0.742911i | \(-0.733445\pi\) |
0.551189 | − | 0.834381i | \(-0.314174\pi\) | |||||||
\(948\) | 0.153841 | + | 1.06677i | 0.00499652 | + | 0.0346469i | ||||
\(949\) | 1.80157 | − | 3.12041i | 0.0584814 | − | 0.101293i | ||||
\(950\) | 3.00345 | 0.0974449 | ||||||||
\(951\) | 5.14248 | − | 4.04763i | 0.166756 | − | 0.131254i | ||||
\(952\) | −31.9820 | − | 9.20394i | −1.03654 | − | 0.298302i | ||||
\(953\) | −3.94576 | + | 17.2875i | −0.127816 | + | 0.559997i | 0.869947 | + | 0.493145i | \(0.164153\pi\) |
−0.997763 | + | 0.0668523i | \(0.978704\pi\) | |||||||
\(954\) | 25.2925 | + | 32.5588i | 0.818874 | + | 1.05413i | ||||
\(955\) | −11.3142 | − | 1.70534i | −0.366118 | − | 0.0551834i | ||||
\(956\) | −1.10282 | + | 1.38289i | −0.0356678 | + | 0.0447260i | ||||
\(957\) | 24.9125 | + | 27.1949i | 0.805305 | + | 0.879086i | ||||
\(958\) | −25.8870 | + | 7.98509i | −0.836372 | + | 0.257986i | ||||
\(959\) | −17.8177 | + | 48.0623i | −0.575362 | + | 1.55201i | ||||
\(960\) | −7.33030 | − | 50.8298i | −0.236584 | − | 1.64053i | ||||
\(961\) | −18.0853 | − | 31.3246i | −0.583395 | − | 1.01047i | ||||
\(962\) | −10.7042 | − | 18.5402i | −0.345117 | − | 0.597759i | ||||
\(963\) | 0.116553 | + | 0.0579710i | 0.00375587 | + | 0.00186809i | ||||
\(964\) | −0.756054 | + | 0.515469i | −0.0243509 | + | 0.0166021i | ||||
\(965\) | −22.4146 | − | 57.1115i | −0.721552 | − | 1.83848i | ||||
\(966\) | 2.54585 | − | 18.4680i | 0.0819112 | − | 0.594198i | ||||
\(967\) | −13.2893 | + | 33.8607i | −0.427356 | + | 1.08889i | 0.541377 | + | 0.840780i | \(0.317903\pi\) |
−0.968733 | + | 0.248106i | \(0.920192\pi\) | |||||||
\(968\) | 0.763883 | + | 3.34679i | 0.0245521 | + | 0.107570i | ||||
\(969\) | −1.17128 | − | 1.74171i | −0.0376270 | − | 0.0559517i | ||||
\(970\) | 60.2779 | + | 29.0283i | 1.93541 | + | 0.932043i | ||||
\(971\) | 7.19286 | + | 18.3271i | 0.230830 | + | 0.588145i | 0.998618 | − | 0.0525590i | \(-0.0167378\pi\) |
−0.767788 | + | 0.640704i | \(0.778643\pi\) | |||||||
\(972\) | −0.558854 | + | 1.07170i | −0.0179253 | + | 0.0343748i | ||||
\(973\) | 15.7922 | − | 28.5932i | 0.506276 | − | 0.916656i | ||||
\(974\) | 7.12863 | − | 4.86022i | 0.228416 | − | 0.155731i | ||||
\(975\) | 42.6952 | + | 34.4958i | 1.36734 | + | 1.10475i | ||||
\(976\) | 32.5521 | + | 30.2039i | 1.04197 | + | 0.966804i | ||||
\(977\) | −2.95015 | + | 39.3671i | −0.0943838 | + | 1.25946i | 0.726017 | + | 0.687676i | \(0.241369\pi\) |
−0.820401 | + | 0.571788i | \(0.806250\pi\) | |||||||
\(978\) | −0.0888947 | − | 0.132187i | −0.00284254 | − | 0.00422688i | ||||
\(979\) | 19.8224 | − | 34.3334i | 0.633526 | − | 1.09730i | ||||
\(980\) | 1.93015 | + | 0.216357i | 0.0616562 | + | 0.00691129i | ||||
\(981\) | 16.0825 | + | 42.5655i | 0.513476 | + | 1.35901i | ||||
\(982\) | −43.6959 | + | 6.58610i | −1.39439 | + | 0.210171i | ||||
\(983\) | −10.7873 | + | 5.19491i | −0.344063 | + | 0.165692i | −0.597932 | − | 0.801547i | \(-0.704011\pi\) |
0.253870 | + | 0.967238i | \(0.418297\pi\) | |||||||
\(984\) | −43.4390 | + | 9.62377i | −1.38479 | + | 0.306794i | ||||
\(985\) | −37.0463 | + | 17.8406i | −1.18039 | + | 0.568447i | ||||
\(986\) | 2.75923 | + | 36.8194i | 0.0878718 | + | 1.17257i | ||||
\(987\) | −12.0440 | + | 1.05546i | −0.383363 | + | 0.0335958i | ||||
\(988\) | −0.00652811 | + | 0.0871115i | −0.000207687 | + | 0.00277139i | ||||
\(989\) | −7.77670 | − | 19.8147i | −0.247285 | − | 0.630071i | ||||
\(990\) | −4.54445 | + | 51.7749i | −0.144432 | + | 1.64551i | ||||
\(991\) | −1.60907 | + | 4.09984i | −0.0511137 | + | 0.130236i | −0.954150 | − | 0.299328i | \(-0.903237\pi\) |
0.903036 | + | 0.429564i | \(0.141333\pi\) | |||||||
\(992\) | 2.63361 | − | 2.44364i | 0.0836173 | − | 0.0775855i | ||||
\(993\) | 17.1795 | − | 35.0994i | 0.545174 | − | 1.11385i | ||||
\(994\) | 21.4253 | − | 38.7924i | 0.679570 | − | 1.23042i | ||||
\(995\) | 12.1645 | + | 1.83350i | 0.385639 | + | 0.0581258i | ||||
\(996\) | 0.00430334 | − | 0.675069i | 0.000136357 | − | 0.0213904i | ||||
\(997\) | 4.29473 | + | 18.8164i | 0.136015 | + | 0.595923i | 0.996288 | + | 0.0860876i | \(0.0274365\pi\) |
−0.860272 | + | 0.509835i | \(0.829706\pi\) | |||||||
\(998\) | 13.2893 | + | 23.0177i | 0.420665 | + | 0.728613i | ||||
\(999\) | −13.7159 | + | 14.2266i | −0.433951 | + | 0.450110i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 441.2.z.a.142.40 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.40 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.40 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.40 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.40 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.40 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.40 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.40 | yes | 648 | 441.382 | even | 21 | inner |