Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(4,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.t (of order \(30\), degree \(8\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 4.18 | ||
Character | \(\chi\) | \(=\) | 175.4 |
Dual form | 175.2.t.a.44.18 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.537983 | + | 2.53101i | 0.380412 | + | 1.78970i | 0.585199 | + | 0.810890i | \(0.301016\pi\) |
−0.204787 | + | 0.978807i | \(0.565650\pi\) | |||||||
\(3\) | −0.0303653 | − | 0.0682015i | −0.0175314 | − | 0.0393762i | 0.904568 | − | 0.426330i | \(-0.140194\pi\) |
−0.922099 | + | 0.386954i | \(0.873527\pi\) | |||||||
\(4\) | −4.28951 | + | 1.90981i | −2.14475 | + | 0.954906i | ||||
\(5\) | −2.22433 | + | 0.228782i | −0.994752 | + | 0.102315i | ||||
\(6\) | 0.156283 | − | 0.113546i | 0.0638022 | − | 0.0463550i | ||||
\(7\) | −0.537537 | + | 2.59057i | −0.203170 | + | 0.979143i | ||||
\(8\) | −4.09959 | − | 5.64260i | −1.44942 | − | 1.99496i | ||||
\(9\) | 2.00366 | − | 2.22529i | 0.667887 | − | 0.741764i | ||||
\(10\) | −1.77571 | − | 5.50673i | −0.561527 | − | 1.74138i | ||||
\(11\) | 2.52729 | + | 2.80684i | 0.762006 | + | 0.846293i | 0.991913 | − | 0.126919i | \(-0.0405089\pi\) |
−0.229907 | + | 0.973213i | \(0.573842\pi\) | |||||||
\(12\) | 0.260504 | + | 0.234559i | 0.0752011 | + | 0.0677114i | ||||
\(13\) | −2.66684 | + | 0.866509i | −0.739648 | + | 0.240326i | −0.654521 | − | 0.756044i | \(-0.727130\pi\) |
−0.0851272 | + | 0.996370i | \(0.527130\pi\) | |||||||
\(14\) | −6.84595 | + | 0.0331700i | −1.82966 | + | 0.00886506i | ||||
\(15\) | 0.0831458 | + | 0.144756i | 0.0214682 | + | 0.0373758i | ||||
\(16\) | 5.79224 | − | 6.43293i | 1.44806 | − | 1.60823i | ||||
\(17\) | −0.299235 | + | 0.0314508i | −0.0725751 | + | 0.00762795i | −0.140746 | − | 0.990046i | \(-0.544950\pi\) |
0.0681713 | + | 0.997674i | \(0.478284\pi\) | |||||||
\(18\) | 6.71018 | + | 3.87412i | 1.58160 | + | 0.913140i | ||||
\(19\) | 3.68296 | + | 1.63976i | 0.844929 | + | 0.376187i | 0.783097 | − | 0.621900i | \(-0.213639\pi\) |
0.0618323 | + | 0.998087i | \(0.480306\pi\) | |||||||
\(20\) | 9.10437 | − | 5.22942i | 2.03580 | − | 1.16933i | ||||
\(21\) | 0.193003 | − | 0.0420025i | 0.0421168 | − | 0.00916570i | ||||
\(22\) | −5.74450 | + | 7.90663i | −1.22473 | + | 1.68570i | ||||
\(23\) | 1.46161 | + | 6.87632i | 0.304766 | + | 1.43381i | 0.817829 | + | 0.575461i | \(0.195177\pi\) |
−0.513063 | + | 0.858351i | \(0.671489\pi\) | |||||||
\(24\) | −0.260349 | + | 0.450937i | −0.0531435 | + | 0.0920472i | ||||
\(25\) | 4.89532 | − | 1.01778i | 0.979063 | − | 0.203555i | ||||
\(26\) | −3.62786 | − | 6.28364i | −0.711482 | − | 1.23232i | ||||
\(27\) | −0.425616 | − | 0.138291i | −0.0819098 | − | 0.0266141i | ||||
\(28\) | −2.64173 | − | 12.1389i | −0.499240 | − | 2.29403i | ||||
\(29\) | 2.21189 | + | 1.60703i | 0.410738 | + | 0.298418i | 0.773900 | − | 0.633307i | \(-0.218303\pi\) |
−0.363163 | + | 0.931726i | \(0.618303\pi\) | |||||||
\(30\) | −0.321648 | + | 0.288319i | −0.0587246 | + | 0.0526397i | ||||
\(31\) | −0.929782 | − | 8.84628i | −0.166994 | − | 1.58884i | −0.681804 | − | 0.731535i | \(-0.738804\pi\) |
0.514810 | − | 0.857304i | \(-0.327862\pi\) | |||||||
\(32\) | 7.31754 | + | 4.22478i | 1.29357 | + | 0.746843i | ||||
\(33\) | 0.114689 | − | 0.257595i | 0.0199648 | − | 0.0448416i | ||||
\(34\) | −0.240586 | − | 0.740447i | −0.0412601 | − | 0.126986i | ||||
\(35\) | 0.602985 | − | 5.88527i | 0.101923 | − | 0.994792i | ||||
\(36\) | −4.34484 | + | 13.3720i | −0.724139 | + | 2.22867i | ||||
\(37\) | 2.42430 | + | 2.18285i | 0.398552 | + | 0.358858i | 0.843901 | − | 0.536499i | \(-0.180254\pi\) |
−0.445349 | + | 0.895357i | \(0.646920\pi\) | |||||||
\(38\) | −2.16888 | + | 10.2038i | −0.351839 | + | 1.65527i | ||||
\(39\) | 0.140077 | + | 0.155571i | 0.0224302 | + | 0.0249113i | ||||
\(40\) | 10.4098 | + | 11.6131i | 1.64593 | + | 1.83619i | ||||
\(41\) | 0.700664 | + | 2.15642i | 0.109425 | + | 0.336776i | 0.990744 | − | 0.135747i | \(-0.0433433\pi\) |
−0.881318 | + | 0.472523i | \(0.843343\pi\) | |||||||
\(42\) | 0.210141 | + | 0.465897i | 0.0324255 | + | 0.0718895i | ||||
\(43\) | − | 9.05803i | − | 1.38134i | −0.723172 | − | 0.690668i | \(-0.757317\pi\) | ||
0.723172 | − | 0.690668i | \(-0.242683\pi\) | |||||||
\(44\) | −16.2014 | − | 7.21331i | −2.44245 | − | 1.08745i | ||||
\(45\) | −3.94771 | + | 5.40820i | −0.588489 | + | 0.806206i | ||||
\(46\) | −16.6177 | + | 7.39869i | −2.45015 | + | 1.09088i | ||||
\(47\) | 5.52047 | + | 0.580225i | 0.805244 | + | 0.0846345i | 0.498201 | − | 0.867061i | \(-0.333994\pi\) |
0.307042 | + | 0.951696i | \(0.400661\pi\) | |||||||
\(48\) | −0.614619 | − | 0.199702i | −0.0887126 | − | 0.0288245i | ||||
\(49\) | −6.42211 | − | 2.78506i | −0.917444 | − | 0.397865i | ||||
\(50\) | 5.20960 | + | 11.8426i | 0.736749 | + | 1.67479i | ||||
\(51\) | 0.0112313 | + | 0.0194532i | 0.00157270 | + | 0.00272400i | ||||
\(52\) | 9.78456 | − | 8.81006i | 1.35687 | − | 1.22174i | ||||
\(53\) | 1.49269 | + | 3.35264i | 0.205037 | + | 0.460521i | 0.986569 | − | 0.163344i | \(-0.0522281\pi\) |
−0.781532 | + | 0.623865i | \(0.785561\pi\) | |||||||
\(54\) | 0.121042 | − | 1.15164i | 0.0164717 | − | 0.156718i | ||||
\(55\) | −6.26369 | − | 5.66514i | −0.844595 | − | 0.763888i | ||||
\(56\) | 16.8212 | − | 7.58716i | 2.24783 | − | 1.01388i | ||||
\(57\) | − | 0.300975i | − | 0.0398652i | ||||||
\(58\) | −2.87746 | + | 6.46288i | −0.377829 | + | 0.848618i | ||||
\(59\) | 8.63331 | + | 1.83507i | 1.12396 | + | 0.238905i | 0.732152 | − | 0.681141i | \(-0.238516\pi\) |
0.391809 | + | 0.920047i | \(0.371849\pi\) | |||||||
\(60\) | −0.633111 | − | 0.462139i | −0.0817343 | − | 0.0596619i | ||||
\(61\) | −13.3724 | + | 2.84238i | −1.71215 | + | 0.363930i | −0.956656 | − | 0.291220i | \(-0.905939\pi\) |
−0.755499 | + | 0.655150i | \(0.772605\pi\) | |||||||
\(62\) | 21.8898 | − | 7.11244i | 2.78001 | − | 0.903281i | ||||
\(63\) | 4.68773 | + | 6.38681i | 0.590599 | + | 0.804662i | ||||
\(64\) | −1.40634 | + | 4.32826i | −0.175792 | + | 0.541033i | ||||
\(65\) | 5.73370 | − | 2.53753i | 0.711178 | − | 0.314742i | ||||
\(66\) | 0.713678 | + | 0.151697i | 0.0878477 | + | 0.0186726i | ||||
\(67\) | −3.42017 | + | 0.359475i | −0.417841 | + | 0.0439168i | −0.311116 | − | 0.950372i | \(-0.600703\pi\) |
−0.106724 | + | 0.994289i | \(0.534036\pi\) | |||||||
\(68\) | 1.22350 | − | 0.706390i | 0.148372 | − | 0.0856624i | ||||
\(69\) | 0.424593 | − | 0.308485i | 0.0511150 | − | 0.0371372i | ||||
\(70\) | 15.2201 | − | 1.64001i | 1.81915 | − | 0.196019i | ||||
\(71\) | −2.69801 | − | 1.96022i | −0.320195 | − | 0.232635i | 0.416064 | − | 0.909335i | \(-0.363409\pi\) |
−0.736258 | + | 0.676700i | \(0.763409\pi\) | |||||||
\(72\) | −20.7706 | − | 2.18308i | −2.44784 | − | 0.257278i | ||||
\(73\) | 9.72229 | − | 8.75399i | 1.13791 | − | 1.02458i | 0.138494 | − | 0.990363i | \(-0.455774\pi\) |
0.999415 | − | 0.0342137i | \(-0.0108927\pi\) | |||||||
\(74\) | −4.22058 | + | 7.31027i | −0.490633 | + | 0.849801i | ||||
\(75\) | −0.218062 | − | 0.302963i | −0.0251796 | − | 0.0349832i | ||||
\(76\) | −18.9297 | −2.17139 | ||||||||
\(77\) | −8.62982 | + | 5.03834i | −0.983459 | + | 0.574172i | ||||
\(78\) | −0.318393 | + | 0.438230i | −0.0360509 | + | 0.0496198i | ||||
\(79\) | 0.885368 | − | 8.42371i | 0.0996116 | − | 0.947741i | −0.824563 | − | 0.565771i | \(-0.808579\pi\) |
0.924174 | − | 0.381971i | \(-0.124755\pi\) | |||||||
\(80\) | −11.4121 | + | 15.6341i | −1.27591 | + | 1.74795i | ||||
\(81\) | −0.935516 | − | 8.90084i | −0.103946 | − | 0.988982i | ||||
\(82\) | −5.08098 | + | 2.93351i | −0.561101 | + | 0.323952i | ||||
\(83\) | −2.74589 | − | 3.77939i | −0.301401 | − | 0.414842i | 0.631275 | − | 0.775559i | \(-0.282532\pi\) |
−0.932675 | + | 0.360717i | \(0.882532\pi\) | |||||||
\(84\) | −0.747672 | + | 0.548770i | −0.0815778 | + | 0.0598757i | ||||
\(85\) | 0.658402 | − | 0.138417i | 0.0714137 | − | 0.0150134i | ||||
\(86\) | 22.9260 | − | 4.87307i | 2.47217 | − | 0.525476i | ||||
\(87\) | 0.0424374 | − | 0.199652i | 0.00454977 | − | 0.0214050i | ||||
\(88\) | 5.47702 | − | 25.7673i | 0.583852 | − | 2.74681i | ||||
\(89\) | 7.53425 | − | 1.60146i | 0.798629 | − | 0.169754i | 0.209517 | − | 0.977805i | \(-0.432811\pi\) |
0.589112 | + | 0.808051i | \(0.299478\pi\) | |||||||
\(90\) | −15.8120 | − | 7.08217i | −1.66673 | − | 0.746527i | ||||
\(91\) | −0.811226 | − | 7.37442i | −0.0850396 | − | 0.773049i | ||||
\(92\) | −19.4021 | − | 26.7046i | −2.02280 | − | 2.78415i | ||||
\(93\) | −0.575097 | + | 0.332032i | −0.0596348 | + | 0.0344302i | ||||
\(94\) | 1.50137 | + | 14.2845i | 0.154854 | + | 1.47334i | ||||
\(95\) | −8.56728 | − | 2.80478i | −0.878984 | − | 0.287764i | ||||
\(96\) | 0.0659376 | − | 0.627354i | 0.00672972 | − | 0.0640290i | ||||
\(97\) | −5.87358 | + | 8.08430i | −0.596372 | + | 0.820836i | −0.995370 | − | 0.0961159i | \(-0.969358\pi\) |
0.398998 | + | 0.916952i | \(0.369358\pi\) | |||||||
\(98\) | 3.59403 | − | 17.7527i | 0.363051 | − | 1.79330i | ||||
\(99\) | 11.3099 | 1.13668 | ||||||||
\(100\) | −19.0547 | + | 13.7149i | −1.90547 | + | 1.37149i | ||||
\(101\) | −1.10483 | + | 1.91362i | −0.109934 | + | 0.190412i | −0.915744 | − | 0.401763i | \(-0.868397\pi\) |
0.805809 | + | 0.592175i | \(0.201731\pi\) | |||||||
\(102\) | −0.0431941 | + | 0.0388922i | −0.00427686 | + | 0.00385090i | ||||
\(103\) | 4.07612 | + | 0.428418i | 0.401632 | + | 0.0422133i | 0.303192 | − | 0.952930i | \(-0.401948\pi\) |
0.0984408 | + | 0.995143i | \(0.468614\pi\) | |||||||
\(104\) | 15.8223 | + | 11.4956i | 1.55150 | + | 1.12723i | ||||
\(105\) | −0.419694 | + | 0.137583i | −0.0409580 | + | 0.0134268i | ||||
\(106\) | −7.68254 | + | 5.58169i | −0.746194 | + | 0.542142i | ||||
\(107\) | −8.31490 | + | 4.80061i | −0.803831 | + | 0.464092i | −0.844809 | − | 0.535068i | \(-0.820286\pi\) |
0.0409777 | + | 0.999160i | \(0.486953\pi\) | |||||||
\(108\) | 2.08979 | − | 0.219646i | 0.201090 | − | 0.0211355i | ||||
\(109\) | 5.62465 | + | 1.19556i | 0.538744 | + | 0.114514i | 0.469244 | − | 0.883068i | \(-0.344526\pi\) |
0.0694996 | + | 0.997582i | \(0.477860\pi\) | |||||||
\(110\) | 10.9688 | − | 18.9012i | 1.04583 | − | 1.80216i | ||||
\(111\) | 0.0752591 | − | 0.231624i | 0.00714328 | − | 0.0219847i | ||||
\(112\) | 13.5514 | + | 18.4631i | 1.28049 | + | 1.74460i | ||||
\(113\) | −2.42087 | + | 0.786587i | −0.227736 | + | 0.0739959i | −0.420662 | − | 0.907217i | \(-0.638202\pi\) |
0.192926 | + | 0.981213i | \(0.438202\pi\) | |||||||
\(114\) | 0.761772 | − | 0.161920i | 0.0713465 | − | 0.0151652i | ||||
\(115\) | −4.82428 | − | 14.9608i | −0.449866 | − | 1.39510i | ||||
\(116\) | −12.5571 | − | 2.66908i | −1.16589 | − | 0.247818i | ||||
\(117\) | −3.41521 | + | 7.67069i | −0.315736 | + | 0.709155i | ||||
\(118\) | 22.8383i | 2.10243i | ||||||||
\(119\) | 0.0793742 | − | 0.792094i | 0.00727622 | − | 0.0726112i | ||||
\(120\) | 0.475936 | − | 1.06260i | 0.0434468 | − | 0.0970015i | ||||
\(121\) | −0.341340 | + | 3.24763i | −0.0310309 | + | 0.295239i | ||||
\(122\) | −14.3882 | − | 32.3165i | −1.30265 | − | 2.92579i | ||||
\(123\) | 0.125795 | − | 0.113267i | 0.0113426 | − | 0.0102129i | ||||
\(124\) | 20.8830 | + | 36.1705i | 1.87535 | + | 3.24821i | ||||
\(125\) | −10.6560 | + | 3.38384i | −0.953099 | + | 0.302660i | ||||
\(126\) | −13.6432 | + | 15.3007i | −1.21543 | + | 1.36310i | ||||
\(127\) | 12.7417 | + | 4.14002i | 1.13064 | + | 0.367368i | 0.813820 | − | 0.581118i | \(-0.197384\pi\) |
0.316822 | + | 0.948485i | \(0.397384\pi\) | |||||||
\(128\) | 5.09508 | + | 0.535515i | 0.450346 | + | 0.0473333i | ||||
\(129\) | −0.617771 | + | 0.275050i | −0.0543917 | + | 0.0242168i | ||||
\(130\) | 9.50716 | + | 13.1469i | 0.833833 | + | 1.15306i | ||||
\(131\) | 15.2146 | + | 6.77396i | 1.32930 | + | 0.591844i | 0.943694 | − | 0.330819i | \(-0.107325\pi\) |
0.385609 | + | 0.922662i | \(0.373992\pi\) | |||||||
\(132\) | 1.32399i | 0.115239i | ||||||||
\(133\) | −6.22764 | + | 8.65954i | −0.540005 | + | 0.750877i | ||||
\(134\) | −2.74983 | − | 8.46311i | −0.237549 | − | 0.731101i | ||||
\(135\) | 0.978350 | + | 0.210232i | 0.0842030 | + | 0.0180939i | ||||
\(136\) | 1.40420 | + | 1.55953i | 0.120409 | + | 0.133728i | ||||
\(137\) | −1.82498 | + | 8.58584i | −0.155918 | + | 0.733538i | 0.828823 | + | 0.559511i | \(0.189011\pi\) |
−0.984741 | + | 0.174026i | \(0.944322\pi\) | |||||||
\(138\) | 1.00920 | + | 0.908691i | 0.0859091 | + | 0.0773529i | ||||
\(139\) | −3.27911 | + | 10.0921i | −0.278131 | + | 0.855998i | 0.710243 | + | 0.703956i | \(0.248585\pi\) |
−0.988374 | + | 0.152042i | \(0.951415\pi\) | |||||||
\(140\) | 8.65325 | + | 26.3965i | 0.731333 | + | 2.23091i | ||||
\(141\) | −0.128058 | − | 0.394123i | −0.0107845 | − | 0.0331912i | ||||
\(142\) | 3.50985 | − | 7.88325i | 0.294540 | − | 0.661548i | ||||
\(143\) | −9.17202 | − | 5.29547i | −0.767003 | − | 0.442829i | ||||
\(144\) | −2.70947 | − | 25.7788i | −0.225789 | − | 2.14824i | ||||
\(145\) | −5.28764 | − | 3.06853i | −0.439115 | − | 0.254828i | ||||
\(146\) | 27.3869 | + | 19.8977i | 2.26656 | + | 1.64675i | ||||
\(147\) | 0.00506400 | + | 0.522567i | 0.000417671 | + | 0.0431006i | ||||
\(148\) | −14.5679 | − | 4.73339i | −1.19747 | − | 0.389082i | ||||
\(149\) | −0.695327 | − | 1.20434i | −0.0569634 | − | 0.0986635i | 0.836138 | − | 0.548520i | \(-0.184809\pi\) |
−0.893101 | + | 0.449856i | \(0.851475\pi\) | |||||||
\(150\) | 0.649490 | − | 0.714906i | 0.0530306 | − | 0.0583718i | ||||
\(151\) | 7.74195 | − | 13.4095i | 0.630031 | − | 1.09125i | −0.357514 | − | 0.933908i | \(-0.616375\pi\) |
0.987545 | − | 0.157338i | \(-0.0502912\pi\) | |||||||
\(152\) | −5.84611 | − | 27.5038i | −0.474182 | − | 2.23085i | ||||
\(153\) | −0.529578 | + | 0.728901i | −0.0428138 | + | 0.0589282i | ||||
\(154\) | −17.3948 | − | 19.1316i | −1.40171 | − | 1.54167i | ||||
\(155\) | 4.09202 | + | 19.4644i | 0.328679 | + | 1.56342i | ||||
\(156\) | −0.897971 | − | 0.399802i | −0.0718952 | − | 0.0320098i | ||||
\(157\) | −1.34793 | − | 0.778227i | −0.107576 | − | 0.0621093i | 0.445246 | − | 0.895408i | \(-0.353116\pi\) |
−0.552823 | + | 0.833299i | \(0.686449\pi\) | |||||||
\(158\) | 21.7968 | − | 2.29094i | 1.73406 | − | 0.182257i | ||||
\(159\) | 0.183329 | − | 0.203608i | 0.0145390 | − | 0.0161472i | ||||
\(160\) | −17.2432 | − | 7.72320i | −1.36319 | − | 0.610573i | ||||
\(161\) | −18.5993 | + | 0.0901171i | −1.46583 | + | 0.00710222i | ||||
\(162\) | 22.0249 | − | 7.15631i | 1.73044 | − | 0.562253i | ||||
\(163\) | 7.43098 | + | 6.69088i | 0.582039 | + | 0.524071i | 0.906709 | − | 0.421757i | \(-0.138586\pi\) |
−0.324670 | + | 0.945827i | \(0.605253\pi\) | |||||||
\(164\) | −7.12386 | − | 7.91185i | −0.556280 | − | 0.617812i | ||||
\(165\) | −0.196173 | + | 0.599217i | −0.0152720 | + | 0.0466490i | ||||
\(166\) | 8.08845 | − | 8.98314i | 0.627786 | − | 0.697227i | ||||
\(167\) | −8.72392 | − | 12.0074i | −0.675077 | − | 0.929164i | 0.324785 | − | 0.945788i | \(-0.394708\pi\) |
−0.999862 | + | 0.0166240i | \(0.994708\pi\) | |||||||
\(168\) | −1.02824 | − | 0.916847i | −0.0793302 | − | 0.0707363i | ||||
\(169\) | −4.15602 | + | 3.01953i | −0.319694 | + | 0.232271i | ||||
\(170\) | 0.704544 | + | 1.59196i | 0.0540360 | + | 0.122098i | ||||
\(171\) | 11.0284 | − | 4.91014i | 0.843359 | − | 0.375488i | ||||
\(172\) | 17.2991 | + | 38.8545i | 1.31905 | + | 2.96263i | ||||
\(173\) | −1.09980 | − | 5.17415i | −0.0836163 | − | 0.393384i | 0.916359 | − | 0.400357i | \(-0.131114\pi\) |
−0.999976 | + | 0.00697303i | \(0.997780\pi\) | |||||||
\(174\) | 0.528153 | 0.0400392 | ||||||||
\(175\) | 0.00520637 | + | 13.2288i | 0.000393564 | + | 1.00000i | ||||
\(176\) | 32.6948 | 2.46447 | ||||||||
\(177\) | −0.136999 | − | 0.644527i | −0.0102974 | − | 0.0484456i | ||||
\(178\) | 8.10661 | + | 18.2077i | 0.607616 | + | 1.36473i | ||||
\(179\) | −2.11260 | + | 0.940590i | −0.157903 | + | 0.0703030i | −0.484166 | − | 0.874976i | \(-0.660877\pi\) |
0.326263 | + | 0.945279i | \(0.394210\pi\) | |||||||
\(180\) | 6.60508 | − | 30.7379i | 0.492313 | − | 2.29107i | ||||
\(181\) | −14.4034 | + | 10.4647i | −1.07060 | + | 0.777834i | −0.976019 | − | 0.217684i | \(-0.930150\pi\) |
−0.0945769 | + | 0.995518i | \(0.530150\pi\) | |||||||
\(182\) | 18.2283 | − | 6.02054i | 1.35117 | − | 0.446272i | ||||
\(183\) | 0.599910 | + | 0.825706i | 0.0443466 | + | 0.0610379i | ||||
\(184\) | 32.8083 | − | 36.4373i | 2.41866 | − | 2.68620i | ||||
\(185\) | −5.89185 | − | 4.30075i | −0.433177 | − | 0.316197i | ||||
\(186\) | −1.14977 | − | 1.27695i | −0.0843053 | − | 0.0936305i | ||||
\(187\) | −0.844529 | − | 0.760418i | −0.0617581 | − | 0.0556072i | ||||
\(188\) | −24.7882 | + | 8.05419i | −1.80787 | + | 0.587412i | ||||
\(189\) | 0.587037 | − | 1.02825i | 0.0427007 | − | 0.0747943i | ||||
\(190\) | 2.48987 | − | 23.1928i | 0.180634 | − | 1.68258i | ||||
\(191\) | −8.60554 | + | 9.55742i | −0.622675 | + | 0.691551i | −0.969140 | − | 0.246512i | \(-0.920715\pi\) |
0.346465 | + | 0.938063i | \(0.387382\pi\) | |||||||
\(192\) | 0.337898 | − | 0.0355145i | 0.0243857 | − | 0.00256304i | ||||
\(193\) | −23.0217 | − | 13.2916i | −1.65714 | − | 0.956751i | −0.974025 | − | 0.226441i | \(-0.927291\pi\) |
−0.683116 | − | 0.730310i | \(-0.739376\pi\) | |||||||
\(194\) | −23.6213 | − | 10.5169i | −1.69591 | − | 0.755069i | ||||
\(195\) | −0.347169 | − | 0.313994i | −0.0248613 | − | 0.0224856i | ||||
\(196\) | 32.8666 | − | 0.318498i | 2.34762 | − | 0.0227499i | ||||
\(197\) | −1.94609 | + | 2.67856i | −0.138653 | + | 0.190840i | −0.872697 | − | 0.488263i | \(-0.837631\pi\) |
0.734044 | + | 0.679102i | \(0.237631\pi\) | |||||||
\(198\) | 6.08452 | + | 28.6254i | 0.432408 | + | 2.03432i | ||||
\(199\) | 7.70711 | − | 13.3491i | 0.546342 | − | 0.946293i | −0.452179 | − | 0.891927i | \(-0.649353\pi\) |
0.998521 | − | 0.0543655i | \(-0.0173136\pi\) | |||||||
\(200\) | −25.8117 | − | 23.4498i | −1.82516 | − | 1.65815i | ||||
\(201\) | 0.128371 | + | 0.222345i | 0.00905461 | + | 0.0156830i | ||||
\(202\) | −5.43777 | − | 1.76684i | −0.382600 | − | 0.124314i | ||||
\(203\) | −5.35210 | + | 4.86622i | −0.375644 | + | 0.341541i | ||||
\(204\) | −0.0853290 | − | 0.0619951i | −0.00597422 | − | 0.00434053i | ||||
\(205\) | −2.05186 | − | 4.63630i | −0.143308 | − | 0.323813i | ||||
\(206\) | 1.10856 | + | 10.5472i | 0.0772367 | + | 0.734858i | ||||
\(207\) | 18.2304 | + | 10.5253i | 1.26710 | + | 0.731560i | ||||
\(208\) | −9.87278 | + | 22.1746i | −0.684554 | + | 1.53753i | ||||
\(209\) | 4.70536 | + | 14.4816i | 0.325477 | + | 1.00171i | ||||
\(210\) | −0.574014 | − | 0.988234i | −0.0396107 | − | 0.0681946i | ||||
\(211\) | 3.86469 | − | 11.8943i | 0.266056 | − | 0.818836i | −0.725392 | − | 0.688336i | \(-0.758342\pi\) |
0.991448 | − | 0.130500i | \(-0.0416584\pi\) | |||||||
\(212\) | −12.8058 | − | 11.5304i | −0.879508 | − | 0.791913i | ||||
\(213\) | −0.0517641 | + | 0.243531i | −0.00354681 | + | 0.0166865i | ||||
\(214\) | −16.6237 | − | 18.4625i | −1.13637 | − | 1.26207i | ||||
\(215\) | 2.07232 | + | 20.1481i | 0.141331 | + | 1.37409i | ||||
\(216\) | 0.964529 | + | 2.96852i | 0.0656279 | + | 0.201982i | ||||
\(217\) | 23.4167 | + | 2.34654i | 1.58963 | + | 0.159294i | ||||
\(218\) | 14.8792i | 1.00775i | ||||||||
\(219\) | −0.892256 | − | 0.397258i | −0.0602930 | − | 0.0268442i | ||||
\(220\) | 37.6875 | + | 12.3382i | 2.54089 | + | 0.831842i | ||||
\(221\) | 0.770758 | − | 0.343164i | 0.0518468 | − | 0.0230837i | ||||
\(222\) | 0.626731 | + | 0.0658720i | 0.0420634 | + | 0.00442104i | ||||
\(223\) | 7.39692 | + | 2.40341i | 0.495334 | + | 0.160944i | 0.546022 | − | 0.837771i | \(-0.316141\pi\) |
−0.0506879 | + | 0.998715i | \(0.516141\pi\) | |||||||
\(224\) | −14.8780 | + | 16.6856i | −0.994081 | + | 1.11485i | ||||
\(225\) | 7.54371 | − | 12.9328i | 0.502914 | − | 0.862186i | ||||
\(226\) | −3.29325 | − | 5.70407i | −0.219064 | − | 0.379429i | ||||
\(227\) | −5.12621 | + | 4.61566i | −0.340238 | + | 0.306352i | −0.821482 | − | 0.570235i | \(-0.806852\pi\) |
0.481243 | + | 0.876587i | \(0.340185\pi\) | |||||||
\(228\) | 0.574806 | + | 1.29104i | 0.0380675 | + | 0.0855010i | ||||
\(229\) | −1.91955 | + | 18.2633i | −0.126848 | + | 1.20688i | 0.727106 | + | 0.686526i | \(0.240865\pi\) |
−0.853953 | + | 0.520349i | \(0.825802\pi\) | |||||||
\(230\) | 35.2707 | − | 20.2590i | 2.32568 | − | 1.33584i | ||||
\(231\) | 0.605669 | + | 0.435577i | 0.0398501 | + | 0.0286588i | ||||
\(232\) | − | 19.0690i | − | 1.25194i | ||||||
\(233\) | 3.64307 | − | 8.18247i | 0.238666 | − | 0.536052i | −0.754010 | − | 0.656863i | \(-0.771883\pi\) |
0.992675 | + | 0.120811i | \(0.0385496\pi\) | |||||||
\(234\) | −21.2519 | − | 4.51724i | −1.38928 | − | 0.295301i | ||||
\(235\) | −12.4121 | − | 0.0276269i | −0.809677 | − | 0.00180218i | ||||
\(236\) | −40.5373 | + | 8.61647i | −2.63875 | + | 0.560884i | ||||
\(237\) | −0.601394 | + | 0.195405i | −0.0390648 | + | 0.0126929i | ||||
\(238\) | 2.04750 | − | 0.225236i | 0.132720 | − | 0.0145999i | ||||
\(239\) | 5.12153 | − | 15.7624i | 0.331284 | − | 1.01959i | −0.637240 | − | 0.770666i | \(-0.719924\pi\) |
0.968524 | − | 0.248922i | \(-0.0800761\pi\) | |||||||
\(240\) | 1.41281 | + | 0.303589i | 0.0911962 | + | 0.0195966i | ||||
\(241\) | 5.74126 | + | 1.22034i | 0.369827 | + | 0.0786091i | 0.389076 | − | 0.921206i | \(-0.372794\pi\) |
−0.0192493 | + | 0.999815i | \(0.506128\pi\) | |||||||
\(242\) | −8.40343 | + | 0.883236i | −0.540193 | + | 0.0567766i | ||||
\(243\) | −1.74133 | + | 1.00536i | −0.111707 | + | 0.0644938i | ||||
\(244\) | 51.9324 | − | 37.7311i | 3.32463 | − | 2.41549i | ||||
\(245\) | 14.9221 | + | 4.72563i | 0.953337 | + | 0.301909i | ||||
\(246\) | 0.354355 | + | 0.257454i | 0.0225929 | + | 0.0164147i | ||||
\(247\) | −11.2427 | − | 1.18166i | −0.715358 | − | 0.0751871i | ||||
\(248\) | −46.1043 | + | 41.5125i | −2.92763 | + | 2.63605i | ||||
\(249\) | −0.174381 | + | 0.302036i | −0.0110509 | + | 0.0191408i | ||||
\(250\) | −14.2973 | − | 25.1499i | −0.904239 | − | 1.59062i | ||||
\(251\) | −3.59519 | −0.226927 | −0.113463 | − | 0.993542i | \(-0.536194\pi\) | ||||
−0.113463 | + | 0.993542i | \(0.536194\pi\) | |||||||
\(252\) | −32.3057 | − | 18.4436i | −2.03507 | − | 1.16184i | ||||
\(253\) | −15.6068 | + | 21.4809i | −0.981192 | + | 1.35049i | ||||
\(254\) | −3.62364 | + | 34.4766i | −0.227367 | + | 2.16326i | ||||
\(255\) | −0.0294328 | − | 0.0407010i | −0.00184315 | − | 0.00254879i | ||||
\(256\) | 2.33709 | + | 22.2360i | 0.146068 | + | 1.38975i | ||||
\(257\) | 3.78375 | − | 2.18455i | 0.236024 | − | 0.136268i | −0.377324 | − | 0.926081i | \(-0.623156\pi\) |
0.613348 | + | 0.789813i | \(0.289822\pi\) | |||||||
\(258\) | −1.02850 | − | 1.41562i | −0.0640319 | − | 0.0881324i | ||||
\(259\) | −6.95797 | + | 5.10695i | −0.432347 | + | 0.317331i | ||||
\(260\) | −19.7485 | + | 21.8350i | −1.22475 | + | 1.35415i | ||||
\(261\) | 8.00800 | − | 1.70215i | 0.495683 | − | 0.105361i | ||||
\(262\) | −8.95980 | + | 42.1525i | −0.553538 | + | 2.60419i | ||||
\(263\) | 1.63997 | − | 7.71547i | 0.101125 | − | 0.475756i | −0.898219 | − | 0.439548i | \(-0.855139\pi\) |
0.999344 | − | 0.0362085i | \(-0.0115280\pi\) | |||||||
\(264\) | −1.92368 | + | 0.408892i | −0.118395 | + | 0.0251655i | ||||
\(265\) | −4.08727 | − | 7.11589i | −0.251079 | − | 0.437126i | ||||
\(266\) | −25.2678 | − | 11.1036i | −1.54927 | − | 0.680802i | ||||
\(267\) | −0.338001 | − | 0.465219i | −0.0206854 | − | 0.0284709i | ||||
\(268\) | 13.9843 | − | 8.07386i | 0.854229 | − | 0.493189i | ||||
\(269\) | 1.86154 | + | 17.7114i | 0.113500 | + | 1.07988i | 0.891937 | + | 0.452160i | \(0.149347\pi\) |
−0.778436 | + | 0.627724i | \(0.783987\pi\) | |||||||
\(270\) | −0.00576331 | + | 2.58932i | −0.000350744 | + | 0.157581i | ||||
\(271\) | 1.11434 | − | 10.6022i | 0.0676912 | − | 0.644039i | −0.907099 | − | 0.420917i | \(-0.861708\pi\) |
0.974791 | − | 0.223122i | \(-0.0716249\pi\) | |||||||
\(272\) | −1.53092 | + | 2.10713i | −0.0928255 | + | 0.127763i | ||||
\(273\) | −0.478313 | + | 0.279253i | −0.0289488 | + | 0.0169012i | ||||
\(274\) | −22.7127 | −1.37212 | ||||||||
\(275\) | 15.2286 | + | 11.1681i | 0.918320 | + | 0.673465i | ||||
\(276\) | −1.23215 | + | 2.13414i | −0.0741666 | + | 0.128460i | ||||
\(277\) | 2.03436 | − | 1.83175i | 0.122233 | − | 0.110059i | −0.605748 | − | 0.795657i | \(-0.707126\pi\) |
0.727980 | + | 0.685598i | \(0.240459\pi\) | |||||||
\(278\) | −27.3073 | − | 2.87011i | −1.63778 | − | 0.172138i | ||||
\(279\) | −21.5485 | − | 15.6559i | −1.29008 | − | 0.937296i | ||||
\(280\) | −35.6802 | + | 20.7248i | −2.13230 | + | 1.23854i | ||||
\(281\) | 11.9857 | − | 8.70811i | 0.715006 | − | 0.519483i | −0.169779 | − | 0.985482i | \(-0.554305\pi\) |
0.884785 | + | 0.466000i | \(0.154305\pi\) | |||||||
\(282\) | 0.928638 | − | 0.536150i | 0.0552996 | − | 0.0319272i | ||||
\(283\) | 6.51967 | − | 0.685244i | 0.387554 | − | 0.0407336i | 0.0912519 | − | 0.995828i | \(-0.470913\pi\) |
0.296302 | + | 0.955094i | \(0.404246\pi\) | |||||||
\(284\) | 15.3168 | + | 3.25568i | 0.908883 | + | 0.193189i | ||||
\(285\) | 0.0688579 | + | 0.669469i | 0.00407879 | + | 0.0396559i | ||||
\(286\) | 8.46850 | − | 26.0634i | 0.500753 | − | 1.54116i | ||||
\(287\) | −5.96299 | + | 0.655962i | −0.351984 | + | 0.0387202i | ||||
\(288\) | 24.0633 | − | 7.81862i | 1.41794 | − | 0.460717i | ||||
\(289\) | −16.5400 | + | 3.51568i | −0.972939 | + | 0.206804i | ||||
\(290\) | 4.92183 | − | 15.0339i | 0.289020 | − | 0.882821i | ||||
\(291\) | 0.729714 | + | 0.155106i | 0.0427766 | + | 0.00909245i | ||||
\(292\) | −24.9854 | + | 56.1181i | −1.46216 | + | 3.28406i | ||||
\(293\) | − | 31.4682i | − | 1.83839i | −0.393798 | − | 0.919197i | \(-0.628839\pi\) | ||
0.393798 | − | 0.919197i | \(-0.371161\pi\) | |||||||
\(294\) | −1.31990 | + | 0.293949i | −0.0769780 | + | 0.0171435i | ||||
\(295\) | −19.6232 | − | 2.10665i | −1.14251 | − | 0.122654i | ||||
\(296\) | 2.37831 | − | 22.6281i | 0.138237 | − | 1.31523i | ||||
\(297\) | −0.687494 | − | 1.54414i | −0.0398924 | − | 0.0895999i | ||||
\(298\) | 2.67413 | − | 2.40780i | 0.154908 | − | 0.139480i | ||||
\(299\) | −9.85626 | − | 17.0715i | −0.570002 | − | 0.987273i | ||||
\(300\) | 1.51398 | + | 0.883106i | 0.0874097 | + | 0.0509861i | ||||
\(301\) | 23.4655 | + | 4.86903i | 1.35253 | + | 0.280646i | ||||
\(302\) | 38.1045 | + | 12.3809i | 2.19267 | + | 0.712442i | ||||
\(303\) | 0.164060 | + | 0.0172434i | 0.00942501 | + | 0.000990608i | ||||
\(304\) | 31.8810 | − | 14.1944i | 1.82850 | − | 0.814102i | ||||
\(305\) | 29.0943 | − | 9.38177i | 1.66593 | − | 0.537198i | ||||
\(306\) | −2.12976 | − | 0.948231i | −0.121750 | − | 0.0542068i | ||||
\(307\) | − | 19.5635i | − | 1.11655i | −0.829657 | − | 0.558274i | \(-0.811464\pi\) | ||
0.829657 | − | 0.558274i | \(-0.188536\pi\) | |||||||
\(308\) | 27.3954 | − | 38.0933i | 1.56100 | − | 2.17057i | ||||
\(309\) | −0.0945539 | − | 0.291007i | −0.00537898 | − | 0.0165548i | ||||
\(310\) | −47.0631 | + | 20.8285i | −2.67301 | + | 1.18298i | ||||
\(311\) | 22.1198 | + | 24.5666i | 1.25430 | + | 1.39304i | 0.886231 | + | 0.463243i | \(0.153314\pi\) |
0.368069 | + | 0.929798i | \(0.380019\pi\) | |||||||
\(312\) | 0.303567 | − | 1.42817i | 0.0171861 | − | 0.0808543i | ||||
\(313\) | −5.65656 | − | 5.09319i | −0.319728 | − | 0.287884i | 0.493601 | − | 0.869688i | \(-0.335680\pi\) |
−0.813329 | + | 0.581804i | \(0.802347\pi\) | |||||||
\(314\) | 1.24454 | − | 3.83030i | 0.0702334 | − | 0.216156i | ||||
\(315\) | −11.8883 | − | 13.1339i | −0.669828 | − | 0.740012i | ||||
\(316\) | 12.2899 | + | 37.8245i | 0.691362 | + | 2.12779i | ||||
\(317\) | 9.11123 | − | 20.4642i | 0.511738 | − | 1.14938i | −0.454269 | − | 0.890864i | \(-0.650100\pi\) |
0.966007 | − | 0.258517i | \(-0.0832337\pi\) | |||||||
\(318\) | 0.613962 | + | 0.354471i | 0.0344293 | + | 0.0198778i | ||||
\(319\) | 1.07940 | + | 10.2698i | 0.0604351 | + | 0.575001i | ||||
\(320\) | 2.13793 | − | 9.94924i | 0.119514 | − | 0.556179i | ||||
\(321\) | 0.579893 | + | 0.421317i | 0.0323665 | + | 0.0235156i | ||||
\(322\) | −10.2342 | − | 47.0265i | −0.570328 | − | 2.62068i | ||||
\(323\) | −1.15364 | − | 0.374841i | −0.0641903 | − | 0.0208567i | ||||
\(324\) | 21.0118 | + | 36.3936i | 1.16732 | + | 2.02187i | ||||
\(325\) | −12.1731 | + | 6.95608i | −0.675243 | + | 0.385854i | ||||
\(326\) | −12.9370 | + | 22.4075i | −0.716513 | + | 1.24104i | ||||
\(327\) | −0.0892553 | − | 0.419913i | −0.00493583 | − | 0.0232212i | ||||
\(328\) | 9.29539 | − | 12.7940i | 0.513252 | − | 0.706431i | ||||
\(329\) | −4.47057 | + | 13.9893i | −0.246471 | + | 0.771254i | ||||
\(330\) | −1.62216 | − | 0.174148i | −0.0892971 | − | 0.00958651i | ||||
\(331\) | 8.50853 | + | 3.78824i | 0.467671 | + | 0.208221i | 0.627022 | − | 0.779001i | \(-0.284274\pi\) |
−0.159351 | + | 0.987222i | \(0.550940\pi\) | |||||||
\(332\) | 18.9965 | + | 10.9676i | 1.04257 | + | 0.601926i | ||||
\(333\) | 9.71495 | − | 1.02108i | 0.532376 | − | 0.0559550i | ||||
\(334\) | 25.6977 | − | 28.5402i | 1.40611 | − | 1.56165i | ||||
\(335\) | 7.52536 | − | 1.58207i | 0.411154 | − | 0.0864375i | ||||
\(336\) | 0.847722 | − | 1.48487i | 0.0462470 | − | 0.0810061i | ||||
\(337\) | 13.7643 | − | 4.47228i | 0.749788 | − | 0.243621i | 0.0908979 | − | 0.995860i | \(-0.471026\pi\) |
0.658890 | + | 0.752239i | \(0.271026\pi\) | |||||||
\(338\) | −9.87834 | − | 8.89449i | −0.537311 | − | 0.483797i | ||||
\(339\) | 0.127157 | + | 0.141222i | 0.00690620 | + | 0.00767012i | ||||
\(340\) | −2.55987 | + | 1.85116i | −0.138829 | + | 0.100393i | ||||
\(341\) | 22.4803 | − | 24.9668i | 1.21737 | − | 1.35203i | ||||
\(342\) | 18.3607 | + | 25.2713i | 0.992833 | + | 1.36652i | ||||
\(343\) | 10.6670 | − | 15.1398i | 0.575964 | − | 0.817475i | ||||
\(344\) | −51.1108 | + | 37.1342i | −2.75571 | + | 2.00214i | ||||
\(345\) | −0.873861 | + | 0.783313i | −0.0470471 | + | 0.0421722i | ||||
\(346\) | 12.5042 | − | 5.56722i | 0.672228 | − | 0.299295i | ||||
\(347\) | −1.32960 | − | 2.98632i | −0.0713765 | − | 0.160314i | 0.874334 | − | 0.485325i | \(-0.161299\pi\) |
−0.945710 | + | 0.325011i | \(0.894632\pi\) | |||||||
\(348\) | 0.199263 | + | 0.937458i | 0.0106816 | + | 0.0502530i | ||||
\(349\) | 20.1244 | 1.07724 | 0.538618 | − | 0.842550i | \(-0.318947\pi\) | ||||
0.538618 | + | 0.842550i | \(0.318947\pi\) | |||||||
\(350\) | −33.4793 | + | 7.13003i | −1.78955 | + | 0.381116i | ||||
\(351\) | 1.25488 | 0.0669805 | ||||||||
\(352\) | 6.63525 | + | 31.2164i | 0.353660 | + | 1.66384i | ||||
\(353\) | −12.8577 | − | 28.8788i | −0.684345 | − | 1.53707i | −0.836058 | − | 0.548641i | \(-0.815146\pi\) |
0.151713 | − | 0.988425i | \(-0.451521\pi\) | |||||||
\(354\) | 1.55760 | − | 0.693490i | 0.0827857 | − | 0.0368586i | ||||
\(355\) | 6.44973 | + | 3.74292i | 0.342316 | + | 0.198654i | ||||
\(356\) | −29.2598 | + | 21.2585i | −1.55076 | + | 1.12670i | ||||
\(357\) | −0.0564323 | + | 0.0186387i | −0.00298671 | + | 0.000986466i | ||||
\(358\) | −3.51719 | − | 4.84100i | −0.185889 | − | 0.255855i | ||||
\(359\) | 6.91359 | − | 7.67832i | 0.364885 | − | 0.405246i | −0.532546 | − | 0.846401i | \(-0.678765\pi\) |
0.897431 | + | 0.441155i | \(0.145431\pi\) | |||||||
\(360\) | 46.7002 | + | 0.103945i | 2.46132 | + | 0.00547841i | ||||
\(361\) | −1.83810 | − | 2.04141i | −0.0967419 | − | 0.107443i | ||||
\(362\) | −34.2350 | − | 30.8254i | −1.79935 | − | 1.62015i | ||||
\(363\) | 0.231858 | − | 0.0753353i | 0.0121694 | − | 0.00395408i | ||||
\(364\) | 17.5635 | + | 30.0833i | 0.920578 | + | 1.57680i | ||||
\(365\) | −19.6229 | + | 21.6961i | −1.02711 | + | 1.13562i | ||||
\(366\) | −1.76713 | + | 1.96260i | −0.0923693 | + | 0.102587i | ||||
\(367\) | −16.9994 | + | 1.78671i | −0.887363 | + | 0.0932656i | −0.537231 | − | 0.843435i | \(-0.680530\pi\) |
−0.350132 | + | 0.936701i | \(0.613863\pi\) | |||||||
\(368\) | 52.7009 | + | 30.4269i | 2.74722 | + | 1.58611i | ||||
\(369\) | 6.20256 | + | 2.76156i | 0.322892 | + | 0.143761i | ||||
\(370\) | 7.71553 | − | 17.2261i | 0.401111 | − | 0.895541i | ||||
\(371\) | −9.48763 | + | 2.06475i | −0.492573 | + | 0.107197i | ||||
\(372\) | 1.83276 | − | 2.52258i | 0.0950244 | − | 0.130790i | ||||
\(373\) | −5.39135 | − | 25.3643i | −0.279154 | − | 1.31331i | −0.864542 | − | 0.502561i | \(-0.832391\pi\) |
0.585388 | − | 0.810753i | \(-0.300942\pi\) | |||||||
\(374\) | 1.47028 | − | 2.54661i | 0.0760266 | − | 0.131682i | ||||
\(375\) | 0.554354 | + | 0.624002i | 0.0286267 | + | 0.0322233i | ||||
\(376\) | −19.3577 | − | 33.5285i | −0.998297 | − | 1.72910i | ||||
\(377\) | −7.29126 | − | 2.36908i | −0.375519 | − | 0.122014i | ||||
\(378\) | 2.91833 | + | 0.932616i | 0.150103 | + | 0.0479686i | ||||
\(379\) | 6.09850 | + | 4.43082i | 0.313259 | + | 0.227596i | 0.733293 | − | 0.679912i | \(-0.237982\pi\) |
−0.420035 | + | 0.907508i | \(0.637982\pi\) | |||||||
\(380\) | 42.1060 | − | 4.33079i | 2.15999 | − | 0.222165i | ||||
\(381\) | −0.104549 | − | 0.994715i | −0.00535620 | − | 0.0509608i | ||||
\(382\) | −28.8196 | − | 16.6390i | −1.47454 | − | 0.851325i | ||||
\(383\) | −6.86409 | + | 15.4170i | −0.350739 | + | 0.787772i | 0.648900 | + | 0.760874i | \(0.275230\pi\) |
−0.999638 | + | 0.0268979i | \(0.991437\pi\) | |||||||
\(384\) | −0.118191 | − | 0.363754i | −0.00603139 | − | 0.0185627i | ||||
\(385\) | 18.0429 | − | 13.1813i | 0.919552 | − | 0.671781i | ||||
\(386\) | 21.2559 | − | 65.4190i | 1.08190 | − | 3.32974i | ||||
\(387\) | −20.1568 | − | 18.1492i | −1.02463 | − | 0.922577i | ||||
\(388\) | 9.75530 | − | 45.8951i | 0.495251 | − | 2.32997i | ||||
\(389\) | −7.08687 | − | 7.87077i | −0.359319 | − | 0.399064i | 0.536198 | − | 0.844092i | \(-0.319860\pi\) |
−0.895516 | + | 0.445029i | \(0.853193\pi\) | |||||||
\(390\) | 0.607952 | − | 1.04761i | 0.0307849 | − | 0.0530479i | ||||
\(391\) | −0.653629 | − | 2.01166i | −0.0330554 | − | 0.101734i | ||||
\(392\) | 10.6130 | + | 47.6550i | 0.536039 | + | 2.40694i | ||||
\(393\) | − | 1.24335i | − | 0.0627187i | ||||||
\(394\) | −7.82644 | − | 3.48456i | −0.394290 | − | 0.175549i | ||||
\(395\) | −0.0421560 | + | 18.9397i | −0.00212110 | + | 0.952960i | ||||
\(396\) | −48.5138 | + | 21.5997i | −2.43791 | + | 1.08543i | ||||
\(397\) | 35.4347 | + | 3.72434i | 1.77842 | + | 0.186919i | 0.936022 | − | 0.351943i | \(-0.114479\pi\) |
0.842394 | + | 0.538862i | \(0.181145\pi\) | |||||||
\(398\) | 37.9330 | + | 12.3252i | 1.90141 | + | 0.617806i | ||||
\(399\) | 0.779698 | + | 0.161785i | 0.0390337 | + | 0.00809940i | ||||
\(400\) | 21.8076 | − | 37.3864i | 1.09038 | − | 1.86932i | ||||
\(401\) | 2.81098 | + | 4.86877i | 0.140374 | + | 0.243135i | 0.927637 | − | 0.373482i | \(-0.121836\pi\) |
−0.787264 | + | 0.616617i | \(0.788503\pi\) | |||||||
\(402\) | −0.493698 | + | 0.444527i | −0.0246234 | + | 0.0221710i | ||||
\(403\) | 10.1450 | + | 22.7860i | 0.505356 | + | 1.13505i | ||||
\(404\) | 1.08452 | − | 10.3185i | 0.0539568 | − | 0.513364i | ||||
\(405\) | 4.11726 | + | 19.5844i | 0.204588 | + | 0.973157i | ||||
\(406\) | −15.1958 | − | 10.9283i | −0.754155 | − | 0.542362i | ||||
\(407\) | 12.3213i | 0.610744i | ||||||||
\(408\) | 0.0637230 | − | 0.143124i | 0.00315476 | − | 0.00708570i | ||||
\(409\) | −10.7297 | − | 2.28066i | −0.530548 | − | 0.112772i | −0.0651544 | − | 0.997875i | \(-0.520754\pi\) |
−0.465394 | + | 0.885104i | \(0.654087\pi\) | |||||||
\(410\) | 10.6307 | − | 7.68754i | 0.525011 | − | 0.379660i | ||||
\(411\) | 0.640983 | − | 0.136245i | 0.0316174 | − | 0.00672048i | ||||
\(412\) | −18.3028 | + | 5.94693i | −0.901712 | + | 0.292984i | ||||
\(413\) | −9.39460 | + | 21.3788i | −0.462278 | + | 1.05198i | ||||
\(414\) | −16.8321 | + | 51.8038i | −0.827251 | + | 2.54602i | ||||
\(415\) | 6.97244 | + | 7.77842i | 0.342263 | + | 0.381828i | ||||
\(416\) | −23.1755 | − | 4.92611i | −1.13627 | − | 0.241522i | ||||
\(417\) | 0.787866 | − | 0.0828080i | 0.0385820 | − | 0.00405513i | ||||
\(418\) | −34.1217 | + | 19.7002i | −1.66895 | + | 0.963568i | ||||
\(419\) | −10.3403 | + | 7.51266i | −0.505156 | + | 0.367018i | −0.810983 | − | 0.585070i | \(-0.801067\pi\) |
0.305827 | + | 0.952087i | \(0.401067\pi\) | |||||||
\(420\) | 1.53752 | − | 1.39170i | 0.0750235 | − | 0.0679081i | ||||
\(421\) | −31.8380 | − | 23.1317i | −1.55169 | − | 1.12737i | −0.942432 | − | 0.334399i | \(-0.891467\pi\) |
−0.609260 | − | 0.792971i | \(-0.708533\pi\) | |||||||
\(422\) | 32.1837 | + | 3.38265i | 1.56668 | + | 0.164665i | ||||
\(423\) | 12.3523 | − | 11.1221i | 0.600591 | − | 0.540775i | ||||
\(424\) | 12.7982 | − | 22.1671i | 0.621535 | − | 1.07653i | ||||
\(425\) | −1.43284 | + | 0.458516i | −0.0695029 | + | 0.0222413i | ||||
\(426\) | −0.644228 | −0.0312129 | ||||||||
\(427\) | −0.175250 | − | 36.1699i | −0.00848096 | − | 1.75038i | ||||
\(428\) | 26.4986 | − | 36.4721i | 1.28086 | − | 1.76295i | ||||
\(429\) | −0.0826481 | + | 0.786344i | −0.00399029 | + | 0.0379651i | ||||
\(430\) | −49.8802 | + | 16.0844i | −2.40543 | + | 0.775658i | ||||
\(431\) | 1.35516 | + | 12.8935i | 0.0652760 | + | 0.621059i | 0.977437 | + | 0.211227i | \(0.0677460\pi\) |
−0.912161 | + | 0.409832i | \(0.865587\pi\) | |||||||
\(432\) | −3.35489 | + | 1.93694i | −0.161412 | + | 0.0931913i | ||||
\(433\) | 18.1008 | + | 24.9136i | 0.869868 | + | 1.19727i | 0.979126 | + | 0.203257i | \(0.0651525\pi\) |
−0.109258 | + | 0.994013i | \(0.534847\pi\) | |||||||
\(434\) | 6.65867 | + | 60.5304i | 0.319627 | + | 2.90555i | ||||
\(435\) | −0.0487180 | + | 0.453802i | −0.00233585 | + | 0.0217581i | ||||
\(436\) | −26.4103 | + | 5.61368i | −1.26482 | + | 0.268846i | ||||
\(437\) | −5.89247 | + | 27.7219i | −0.281875 | + | 1.32612i | ||||
\(438\) | 0.525446 | − | 2.47203i | 0.0251068 | − | 0.118118i | ||||
\(439\) | −9.57539 | + | 2.03531i | −0.457008 | + | 0.0971401i | −0.430663 | − | 0.902513i | \(-0.641720\pi\) |
−0.0263453 | + | 0.999653i | \(0.508387\pi\) | |||||||
\(440\) | −6.28760 | + | 58.5682i | −0.299750 | + | 2.79213i | ||||
\(441\) | −19.0653 | + | 8.71076i | −0.907871 | + | 0.414798i | ||||
\(442\) | 1.28321 | + | 1.76618i | 0.0610359 | + | 0.0840087i | ||||
\(443\) | −23.8217 | + | 13.7534i | −1.13180 | + | 0.653446i | −0.944387 | − | 0.328835i | \(-0.893344\pi\) |
−0.187414 | + | 0.982281i | \(0.560011\pi\) | |||||||
\(444\) | 0.119533 | + | 1.13728i | 0.00567280 | + | 0.0539730i | ||||
\(445\) | −16.3923 | + | 5.28587i | −0.777070 | + | 0.250574i | ||||
\(446\) | −2.10363 | + | 20.0147i | −0.0996097 | + | 0.947723i | ||||
\(447\) | −0.0610241 | + | 0.0839925i | −0.00288634 | + | 0.00397271i | ||||
\(448\) | −10.4567 | − | 5.96982i | −0.494033 | − | 0.282047i | ||||
\(449\) | 21.4940 | 1.01436 | 0.507182 | − | 0.861839i | \(-0.330687\pi\) | ||||
0.507182 | + | 0.861839i | \(0.330687\pi\) | |||||||
\(450\) | 36.7915 | + | 12.1356i | 1.73437 | + | 0.572078i | ||||
\(451\) | −4.28195 | + | 7.41655i | −0.201629 | + | 0.349232i | ||||
\(452\) | 8.88209 | − | 7.99747i | 0.417778 | − | 0.376169i | ||||
\(453\) | −1.14963 | − | 0.120831i | −0.0540144 | − | 0.00567714i | ||||
\(454\) | −14.4401 | − | 10.4913i | −0.677708 | − | 0.492383i | ||||
\(455\) | 3.49157 | + | 16.2176i | 0.163687 | + | 0.760291i | ||||
\(456\) | −1.69828 | + | 1.23387i | −0.0795294 | + | 0.0577815i | ||||
\(457\) | 17.1453 | − | 9.89884i | 0.802023 | − | 0.463048i | −0.0421551 | − | 0.999111i | \(-0.513422\pi\) |
0.844178 | + | 0.536063i | \(0.180089\pi\) | |||||||
\(458\) | −47.2574 | + | 4.96695i | −2.20819 | + | 0.232091i | ||||
\(459\) | 0.131708 | + | 0.0279955i | 0.00614762 | + | 0.00130672i | ||||
\(460\) | 49.2662 | + | 54.9612i | 2.29705 | + | 2.56258i | ||||
\(461\) | −1.92363 | + | 5.92031i | −0.0895922 | + | 0.275736i | −0.985807 | − | 0.167885i | \(-0.946306\pi\) |
0.896214 | + | 0.443621i | \(0.146306\pi\) | |||||||
\(462\) | −0.776610 | + | 1.76729i | −0.0361312 | + | 0.0822217i | ||||
\(463\) | −10.4735 | + | 3.40304i | −0.486744 | + | 0.158153i | −0.542100 | − | 0.840314i | \(-0.682371\pi\) |
0.0553559 | + | 0.998467i | \(0.482371\pi\) | |||||||
\(464\) | 23.1497 | − | 4.92063i | 1.07470 | − | 0.228434i | ||||
\(465\) | 1.20324 | − | 0.870123i | 0.0557991 | − | 0.0403510i | ||||
\(466\) | 22.6699 | + | 4.81863i | 1.05016 | + | 0.223219i | ||||
\(467\) | −4.57435 | + | 10.2742i | −0.211676 | + | 0.475431i | −0.987913 | − | 0.155010i | \(-0.950459\pi\) |
0.776237 | + | 0.630441i | \(0.217126\pi\) | |||||||
\(468\) | − | 39.4259i | − | 1.82246i | ||||||
\(469\) | 0.907226 | − | 9.05343i | 0.0418918 | − | 0.418048i | ||||
\(470\) | −6.60759 | − | 31.4301i | −0.304785 | − | 1.44976i | ||||
\(471\) | −0.0121460 | + | 0.115562i | −0.000559660 | + | 0.00532481i | ||||
\(472\) | −25.0385 | − | 56.2373i | −1.15249 | − | 2.58853i | ||||
\(473\) | 25.4244 | − | 22.8922i | 1.16902 | − | 1.05259i | ||||
\(474\) | −0.818112 | − | 1.41701i | −0.0375772 | − | 0.0650855i | ||||
\(475\) | 19.6982 | + | 4.27871i | 0.903814 | + | 0.196321i | ||||
\(476\) | 1.17228 | + | 3.54928i | 0.0537311 | + | 0.162681i | ||||
\(477\) | 10.4515 | + | 3.39589i | 0.478540 | + | 0.155487i | ||||
\(478\) | 42.6502 | + | 4.48272i | 1.95078 | + | 0.205035i | ||||
\(479\) | 27.1792 | − | 12.1010i | 1.24185 | − | 0.552908i | 0.322584 | − | 0.946541i | \(-0.395449\pi\) |
0.919268 | + | 0.393633i | \(0.128782\pi\) | |||||||
\(480\) | −0.00313956 | + | 1.41053i | −0.000143301 | + | 0.0643816i | ||||
\(481\) | −8.35667 | − | 3.72063i | −0.381032 | − | 0.169646i | ||||
\(482\) | 15.1877i | 0.691782i | ||||||||
\(483\) | 0.570918 | + | 1.26576i | 0.0259777 | + | 0.0575941i | ||||
\(484\) | −4.73819 | − | 14.5826i | −0.215372 | − | 0.662847i | ||||
\(485\) | 11.2153 | − | 19.3259i | 0.509259 | − | 0.877546i | ||||
\(486\) | −3.48138 | − | 3.86647i | −0.157919 | − | 0.175387i | ||||
\(487\) | 7.29192 | − | 34.3058i | 0.330428 | − | 1.55454i | −0.428606 | − | 0.903492i | \(-0.640995\pi\) |
0.759034 | − | 0.651051i | \(-0.225672\pi\) | |||||||
\(488\) | 70.8596 | + | 63.8023i | 3.20766 | + | 2.88819i | ||||
\(489\) | 0.230685 | − | 0.709975i | 0.0104319 | − | 0.0321062i | ||||
\(490\) | −3.93279 | + | 40.3103i | −0.177665 | + | 1.82103i | ||||
\(491\) | 0.608859 | + | 1.87387i | 0.0274774 | + | 0.0845667i | 0.963855 | − | 0.266428i | \(-0.0858435\pi\) |
−0.936377 | + | 0.350995i | \(0.885843\pi\) | |||||||
\(492\) | −0.323282 | + | 0.726104i | −0.0145747 | + | 0.0327353i | ||||
\(493\) | −0.712417 | − | 0.411314i | −0.0320856 | − | 0.0185246i | ||||
\(494\) | −3.05761 | − | 29.0912i | −0.137568 | − | 1.30888i | ||||
\(495\) | −25.1569 | + | 2.58750i | −1.13072 | + | 0.116299i | ||||
\(496\) | −62.2930 | − | 45.2585i | −2.79704 | − | 2.03217i | ||||
\(497\) | 6.52836 | − | 5.93569i | 0.292837 | − | 0.266252i | ||||
\(498\) | −0.858272 | − | 0.278869i | −0.0384601 | − | 0.0124964i | ||||
\(499\) | −8.83166 | − | 15.2969i | −0.395359 | − | 0.684783i | 0.597788 | − | 0.801655i | \(-0.296047\pi\) |
−0.993147 | + | 0.116872i | \(0.962713\pi\) | |||||||
\(500\) | 39.2464 | − | 34.8659i | 1.75515 | − | 1.55925i | ||||
\(501\) | −0.554022 | + | 0.959594i | −0.0247519 | + | 0.0428715i | ||||
\(502\) | −1.93415 | − | 9.09948i | −0.0863255 | − | 0.406130i | ||||
\(503\) | −2.37581 | + | 3.27003i | −0.105932 | + | 0.145803i | −0.858692 | − | 0.512492i | \(-0.828722\pi\) |
0.752760 | + | 0.658296i | \(0.228722\pi\) | |||||||
\(504\) | 16.8204 | − | 52.6343i | 0.749240 | − | 2.34452i | ||||
\(505\) | 2.01970 | − | 4.50929i | 0.0898756 | − | 0.200661i | ||||
\(506\) | −62.7647 | − | 27.9446i | −2.79023 | − | 1.24229i | ||||
\(507\) | 0.332135 | + | 0.191758i | 0.0147506 | + | 0.00851629i | ||||
\(508\) | −62.5622 | + | 6.57555i | −2.77575 | + | 0.291743i | ||||
\(509\) | −9.19444 | + | 10.2115i | −0.407536 | + | 0.452615i | −0.911616 | − | 0.411042i | \(-0.865165\pi\) |
0.504080 | + | 0.863657i | \(0.331832\pi\) | |||||||
\(510\) | 0.0871803 | − | 0.0963912i | 0.00386041 | − | 0.00426828i | ||||
\(511\) | 17.4517 | + | 29.8919i | 0.772019 | + | 1.32234i | ||||
\(512\) | −45.2774 | + | 14.7115i | −2.00100 | + | 0.650163i | ||||
\(513\) | −1.34076 | − | 1.20723i | −0.0591961 | − | 0.0533004i | ||||
\(514\) | 7.56472 | + | 8.40147i | 0.333665 | + | 0.370573i | ||||
\(515\) | −9.16467 | − | 0.0203987i | −0.403844 | − | 0.000898876i | ||||
\(516\) | 2.12464 | − | 2.35965i | 0.0935322 | − | 0.103878i | ||||
\(517\) | 12.3232 | + | 16.9615i | 0.541975 | + | 0.745965i | ||||
\(518\) | −16.6690 | − | 14.8633i | −0.732396 | − | 0.653054i | ||||
\(519\) | −0.319489 | + | 0.232123i | −0.0140240 | + | 0.0101891i | ||||
\(520\) | −37.8241 | − | 21.9501i | −1.65869 | − | 0.962577i | ||||
\(521\) | −13.7884 | + | 6.13900i | −0.604082 | + | 0.268955i | −0.685904 | − | 0.727692i | \(-0.740593\pi\) |
0.0818217 | + | 0.996647i | \(0.473926\pi\) | |||||||
\(522\) | 8.61634 | + | 19.3526i | 0.377127 | + | 0.847041i | ||||
\(523\) | −4.47583 | − | 21.0571i | −0.195714 | − | 0.920763i | −0.960888 | − | 0.276939i | \(-0.910680\pi\) |
0.765173 | − | 0.643824i | \(-0.222653\pi\) | |||||||
\(524\) | −78.2000 | −3.41618 | ||||||||
\(525\) | 0.902063 | − | 0.402050i | 0.0393693 | − | 0.0175469i | ||||
\(526\) | 20.4102 | 0.889929 | ||||||||
\(527\) | 0.556446 | + | 2.61787i | 0.0242392 | + | 0.114036i | ||||
\(528\) | −0.992788 | − | 2.22984i | −0.0432056 | − | 0.0970413i | ||||
\(529\) | −24.1359 | + | 10.7460i | −1.04939 | + | 0.467217i | ||||
\(530\) | 15.8115 | − | 14.1732i | 0.686809 | − | 0.615643i | ||||
\(531\) | 21.3818 | − | 15.5348i | 0.927891 | − | 0.674152i | ||||
\(532\) | 10.1754 | − | 49.0388i | 0.441161 | − | 2.12610i | ||||
\(533\) | −3.73712 | − | 5.14370i | −0.161872 | − | 0.222798i | ||||
\(534\) | 0.995636 | − | 1.10577i | 0.0430854 | − | 0.0478512i | ||||
\(535\) | 17.3968 | − | 12.5805i | 0.752130 | − | 0.543900i | ||||
\(536\) | 16.0497 | + | 17.8250i | 0.693240 | + | 0.769921i | ||||
\(537\) | 0.128299 | + | 0.115521i | 0.00553653 | + | 0.00498511i | ||||
\(538\) | −43.8263 | + | 14.2400i | −1.88949 | + | 0.613932i | ||||
\(539\) | −8.41331 | − | 25.0645i | −0.362387 | − | 1.07960i | ||||
\(540\) | −4.59815 | + | 0.966674i | −0.197873 | + | 0.0415990i | ||||
\(541\) | −25.2587 | + | 28.0526i | −1.08595 | + | 1.20607i | −0.108684 | + | 0.994076i | \(0.534664\pi\) |
−0.977270 | + | 0.211998i | \(0.932003\pi\) | |||||||
\(542\) | 27.4338 | − | 2.88341i | 1.17838 | − | 0.123853i | ||||
\(543\) | 1.15107 | + | 0.664571i | 0.0493972 | + | 0.0285195i | ||||
\(544\) | −2.32253 | − | 1.03406i | −0.0995778 | − | 0.0443349i | ||||
\(545\) | −12.7846 | − | 1.37249i | −0.547633 | − | 0.0587912i | ||||
\(546\) | −0.964118 | − | 1.06038i | −0.0412604 | − | 0.0453802i | ||||
\(547\) | −2.11101 | + | 2.90556i | −0.0902603 | + | 0.124233i | −0.851759 | − | 0.523934i | \(-0.824464\pi\) |
0.761499 | + | 0.648166i | \(0.224464\pi\) | |||||||
\(548\) | −8.56909 | − | 40.3144i | −0.366053 | − | 1.72215i | ||||
\(549\) | −20.4686 | + | 35.4526i | −0.873577 | + | 1.51308i | ||||
\(550\) | −20.0740 | + | 44.5521i | −0.855957 | + | 1.89971i | ||||
\(551\) | 5.51116 | + | 9.54560i | 0.234783 | + | 0.406656i | ||||
\(552\) | −3.48132 | − | 1.13115i | −0.148175 | − | 0.0481449i | ||||
\(553\) | 21.3463 | + | 6.82167i | 0.907737 | + | 0.290087i | ||||
\(554\) | 5.73063 | + | 4.16354i | 0.243471 | + | 0.176892i | ||||
\(555\) | −0.114410 | + | 0.532426i | −0.00485643 | + | 0.0226002i | ||||
\(556\) | −5.20818 | − | 49.5525i | −0.220876 | − | 2.10149i | ||||
\(557\) | −12.2763 | − | 7.08773i | −0.520164 | − | 0.300317i | 0.216838 | − | 0.976208i | \(-0.430426\pi\) |
−0.737002 | + | 0.675891i | \(0.763759\pi\) | |||||||
\(558\) | 28.0326 | − | 62.9622i | 1.18671 | − | 2.66540i | ||||
\(559\) | 7.84886 | + | 24.1563i | 0.331971 | + | 1.02170i | ||||
\(560\) | −34.3669 | − | 37.9678i | −1.45227 | − | 1.60443i | ||||
\(561\) | −0.0262173 | + | 0.0806885i | −0.00110689 | + | 0.00340667i | ||||
\(562\) | 28.4885 | + | 25.6511i | 1.20171 | + | 1.08203i | ||||
\(563\) | −3.31546 | + | 15.5980i | −0.139730 | + | 0.657378i | 0.851404 | + | 0.524511i | \(0.175752\pi\) |
−0.991134 | + | 0.132867i | \(0.957582\pi\) | |||||||
\(564\) | 1.30201 | + | 1.44603i | 0.0548245 | + | 0.0608888i | ||||
\(565\) | 5.20486 | − | 2.30348i | 0.218970 | − | 0.0969083i | ||||
\(566\) | 5.24183 | + | 16.1327i | 0.220331 | + | 0.678108i | ||||
\(567\) | 23.5611 | + | 2.36101i | 0.989474 | + | 0.0991533i | ||||
\(568\) | 23.2599i | 0.975962i | ||||||||
\(569\) | −32.3178 | − | 14.3888i | −1.35483 | − | 0.603210i | −0.404526 | − | 0.914527i | \(-0.632563\pi\) |
−0.950306 | + | 0.311317i | \(0.899230\pi\) | |||||||
\(570\) | −1.65739 | + | 0.534444i | −0.0694205 | + | 0.0223854i | ||||
\(571\) | 18.1029 | − | 8.05995i | 0.757585 | − | 0.337298i | 0.00866787 | − | 0.999962i | \(-0.497241\pi\) |
0.748917 | + | 0.662664i | \(0.230574\pi\) | |||||||
\(572\) | 49.4568 | + | 5.19812i | 2.06789 | + | 0.217344i | ||||
\(573\) | 0.913140 | + | 0.296697i | 0.0381470 | + | 0.0123947i | ||||
\(574\) | −4.86824 | − | 14.7395i | −0.203196 | − | 0.615216i | ||||
\(575\) | 14.1536 | + | 32.1742i | 0.590245 | + | 1.34176i | ||||
\(576\) | 6.81382 | + | 11.8019i | 0.283909 | + | 0.491745i | ||||
\(577\) | −14.8704 | + | 13.3894i | −0.619063 | + | 0.557407i | −0.917857 | − | 0.396911i | \(-0.870082\pi\) |
0.298794 | + | 0.954318i | \(0.403416\pi\) | |||||||
\(578\) | −17.7964 | − | 39.9715i | −0.740234 | − | 1.66259i | ||||
\(579\) | −0.207446 | + | 1.97372i | −0.00862118 | + | 0.0820250i | ||||
\(580\) | 28.5417 | + | 3.06410i | 1.18513 | + | 0.127230i | ||||
\(581\) | 11.2668 | − | 5.08186i | 0.467426 | − | 0.210831i | ||||
\(582\) | 1.93036i | 0.0800160i | ||||||||
\(583\) | −5.63786 | + | 12.6628i | −0.233496 | + | 0.524441i | ||||
\(584\) | −89.2526 | − | 18.9712i | −3.69330 | − | 0.785035i | ||||
\(585\) | 5.84165 | − | 17.8435i | 0.241522 | − | 0.737738i | ||||
\(586\) | 79.6465 | − | 16.9294i | 3.29017 | − | 0.699347i | ||||
\(587\) | −14.6973 | + | 4.77544i | −0.606623 | + | 0.197104i | −0.596192 | − | 0.802842i | \(-0.703320\pi\) |
−0.0104308 | + | 0.999946i | \(0.503320\pi\) | |||||||
\(588\) | −1.01973 | − | 2.23188i | −0.0420528 | − | 0.0920413i | ||||
\(589\) | 11.0814 | − | 34.1051i | 0.456602 | − | 1.40528i | ||||
\(590\) | −5.22499 | − | 50.7999i | −0.215109 | − | 2.09140i | ||||
\(591\) | 0.241776 | + | 0.0513910i | 0.00994532 | + | 0.00211394i | ||||
\(592\) | 28.0842 | − | 2.95177i | 1.15425 | − | 0.121317i | ||||
\(593\) | −3.16592 | + | 1.82785i | −0.130009 | + | 0.0750607i | −0.563594 | − | 0.826052i | \(-0.690582\pi\) |
0.433585 | + | 0.901113i | \(0.357248\pi\) | |||||||
\(594\) | 3.53837 | − | 2.57077i | 0.145181 | − | 0.105480i | ||||
\(595\) | 0.00466258 | + | 1.78004i | 0.000191147 | + | 0.0729746i | ||||
\(596\) | 5.28268 | + | 3.83809i | 0.216387 | + | 0.157214i | ||||
\(597\) | −1.14446 | − | 0.120287i | −0.0468395 | − | 0.00492303i | ||||
\(598\) | 37.9058 | − | 34.1305i | 1.55008 | − | 1.39570i | ||||
\(599\) | 3.07128 | − | 5.31962i | 0.125489 | − | 0.217354i | −0.796435 | − | 0.604724i | \(-0.793283\pi\) |
0.921924 | + | 0.387371i | \(0.126617\pi\) | |||||||
\(600\) | −0.815536 | + | 2.47246i | −0.0332941 | + | 0.100938i | ||||
\(601\) | 33.2947 | 1.35812 | 0.679060 | − | 0.734083i | \(-0.262388\pi\) | ||||
0.679060 | + | 0.734083i | \(0.262388\pi\) | |||||||
\(602\) | 0.300455 | + | 62.0108i | 0.0122456 | + | 2.52737i | ||||
\(603\) | −6.05293 | + | 8.33115i | −0.246495 | + | 0.339271i | ||||
\(604\) | −7.59963 | + | 72.3056i | −0.309225 | + | 2.94208i | ||||
\(605\) | 0.0162526 | − | 7.30191i | 0.000660762 | − | 0.296865i | ||||
\(606\) | 0.0446183 | + | 0.424515i | 0.00181250 | + | 0.0172447i | ||||
\(607\) | −35.6231 | + | 20.5670i | −1.44590 | + | 0.834788i | −0.998233 | − | 0.0594149i | \(-0.981077\pi\) |
−0.447662 | + | 0.894203i | \(0.647743\pi\) | |||||||
\(608\) | 20.0226 | + | 27.5587i | 0.812023 | + | 1.11765i | ||||
\(609\) | 0.494402 | + | 0.217258i | 0.0200342 | + | 0.00880372i | ||||
\(610\) | 39.3976 | + | 68.5908i | 1.59516 | + | 2.77716i | ||||
\(611\) | −15.2250 | + | 3.23617i | −0.615937 | + | 0.130921i | ||||
\(612\) | 0.879564 | − | 4.13802i | 0.0355543 | − | 0.167270i | ||||
\(613\) | −4.82936 | + | 22.7203i | −0.195056 | + | 0.917666i | 0.766327 | + | 0.642451i | \(0.222082\pi\) |
−0.961383 | + | 0.275215i | \(0.911251\pi\) | |||||||
\(614\) | 49.5155 | − | 10.5248i | 1.99828 | − | 0.424748i | ||||
\(615\) | −0.253897 | + | 0.280723i | −0.0102381 | + | 0.0113198i | ||||
\(616\) | 63.8080 | + | 28.0395i | 2.57090 | + | 1.12974i | ||||
\(617\) | 1.58759 | + | 2.18514i | 0.0639141 | + | 0.0879702i | 0.839777 | − | 0.542931i | \(-0.182685\pi\) |
−0.775863 | + | 0.630901i | \(0.782685\pi\) | |||||||
\(618\) | 0.685674 | − | 0.395874i | 0.0275818 | − | 0.0159244i | ||||
\(619\) | 5.01708 | + | 47.7343i | 0.201654 | + | 1.91861i | 0.363148 | + | 0.931731i | \(0.381702\pi\) |
−0.161495 | + | 0.986874i | \(0.551631\pi\) | |||||||
\(620\) | −54.7260 | − | 75.6776i | −2.19785 | − | 3.03928i | ||||
\(621\) | 0.328850 | − | 3.12880i | 0.0131963 | − | 0.125554i | ||||
\(622\) | −50.2782 | + | 69.2020i | −2.01597 | + | 2.77475i | ||||
\(623\) | 0.0987396 | + | 20.3789i | 0.00395592 | + | 0.816462i | ||||
\(624\) | 1.81213 | 0.0725434 | ||||||||
\(625\) | 22.9283 | − | 9.96468i | 0.917130 | − | 0.398587i | ||||
\(626\) | 9.84779 | − | 17.0569i | 0.393597 | − | 0.681730i | ||||
\(627\) | 0.844789 | − | 0.760651i | 0.0337376 | − | 0.0303775i | ||||
\(628\) | 7.26822 | + | 0.763920i | 0.290033 | + | 0.0304837i | ||||
\(629\) | −0.794086 | − | 0.576938i | −0.0316623 | − | 0.0230040i | ||||
\(630\) | 26.8464 | − | 37.1552i | 1.06959 | − | 1.48030i | ||||
\(631\) | −18.3629 | + | 13.3414i | −0.731016 | + | 0.531114i | −0.889885 | − | 0.456186i | \(-0.849215\pi\) |
0.158869 | + | 0.987300i | \(0.449215\pi\) | |||||||
\(632\) | −51.1613 | + | 29.5380i | −2.03509 | + | 1.17496i | ||||
\(633\) | −0.928561 | + | 0.0975956i | −0.0369070 | + | 0.00387908i | ||||
\(634\) | 56.6967 | + | 12.0513i | 2.25171 | + | 0.478617i | ||||
\(635\) | −29.2889 | − | 6.29372i | −1.16229 | − | 0.249759i | ||||
\(636\) | −0.397540 | + | 1.22350i | −0.0157635 | + | 0.0485150i | ||||
\(637\) | 19.5400 | + | 1.86249i | 0.774203 | + | 0.0737944i | ||||
\(638\) | −25.4124 | + | 8.25699i | −1.00609 | + | 0.326898i | ||||
\(639\) | −9.76795 | + | 2.07624i | −0.386414 | + | 0.0821349i | ||||
\(640\) | −11.4557 | − | 0.0254981i | −0.452825 | − | 0.00100790i | ||||
\(641\) | 32.8748 | + | 6.98776i | 1.29848 | + | 0.276000i | 0.804749 | − | 0.593615i | \(-0.202300\pi\) |
0.493729 | + | 0.869616i | \(0.335633\pi\) | |||||||
\(642\) | −0.754386 | + | 1.69438i | −0.0297732 | + | 0.0668718i | ||||
\(643\) | 2.04600i | 0.0806863i | 0.999186 | + | 0.0403432i | \(0.0128451\pi\) | ||||
−0.999186 | + | 0.0403432i | \(0.987155\pi\) | |||||||
\(644\) | 79.6095 | − | 35.9076i | 3.13706 | − | 1.41496i | ||||
\(645\) | 1.31120 | − | 0.753137i | 0.0516286 | − | 0.0296547i | ||||
\(646\) | 0.328087 | − | 3.12154i | 0.0129084 | − | 0.122815i | ||||
\(647\) | −6.34621 | − | 14.2538i | −0.249495 | − | 0.560376i | 0.744769 | − | 0.667322i | \(-0.232559\pi\) |
−0.994265 | + | 0.106946i | \(0.965893\pi\) | |||||||
\(648\) | −46.3886 | + | 41.7685i | −1.82232 | + | 1.64082i | ||||
\(649\) | 16.6681 | + | 28.8700i | 0.654281 | + | 1.13325i | ||||
\(650\) | −24.1549 | − | 27.0680i | −0.947432 | − | 1.06170i | ||||
\(651\) | −0.551017 | − | 1.66831i | −0.0215961 | − | 0.0653862i | ||||
\(652\) | −44.6536 | − | 14.5088i | −1.74877 | − | 0.568210i | ||||
\(653\) | −35.4456 | − | 3.72548i | −1.38709 | − | 0.145789i | −0.618630 | − | 0.785683i | \(-0.712312\pi\) |
−0.768464 | + | 0.639893i | \(0.778979\pi\) | |||||||
\(654\) | 1.01479 | − | 0.451813i | 0.0396813 | − | 0.0176673i | ||||
\(655\) | −35.3920 | − | 11.5867i | −1.38288 | − | 0.452731i | ||||
\(656\) | 17.9305 | + | 7.98318i | 0.700069 | + | 0.311691i | ||||
\(657\) | − | 39.1750i | − | 1.52836i | ||||||
\(658\) | −37.8121 | − | 3.78908i | −1.47407 | − | 0.147714i | ||||
\(659\) | −4.30237 | − | 13.2413i | −0.167596 | − | 0.515809i | 0.831622 | − | 0.555342i | \(-0.187413\pi\) |
−0.999218 | + | 0.0395337i | \(0.987413\pi\) | |||||||
\(660\) | −0.302906 | − | 2.94500i | −0.0117906 | − | 0.114634i | ||||
\(661\) | 5.10093 | + | 5.66516i | 0.198403 | + | 0.220349i | 0.834134 | − | 0.551562i | \(-0.185968\pi\) |
−0.635731 | + | 0.771911i | \(0.719301\pi\) | |||||||
\(662\) | −5.01064 | + | 23.5732i | −0.194744 | + | 0.916199i | ||||
\(663\) | −0.0468086 | − | 0.0421466i | −0.00181789 | − | 0.00163684i | ||||
\(664\) | −10.0686 | + | 30.9879i | −0.390737 | + | 1.20256i | ||||
\(665\) | 11.8712 | − | 20.6865i | 0.460345 | − | 0.802187i | ||||
\(666\) | 7.81086 | + | 24.0393i | 0.302665 | + | 0.931506i | ||||
\(667\) | −7.81755 | + | 17.5585i | −0.302697 | + | 0.679868i | ||||
\(668\) | 60.3533 | + | 34.8450i | 2.33514 | + | 1.34819i | ||||
\(669\) | −0.0606936 | − | 0.577461i | −0.00234655 | − | 0.0223259i | ||||
\(670\) | 8.05275 | + | 18.1957i | 0.311105 | + | 0.702960i | ||||
\(671\) | −41.7739 | − | 30.3505i | −1.61266 | − | 1.17167i | ||||
\(672\) | 1.58976 | + | 0.508042i | 0.0613263 | + | 0.0195981i | ||||
\(673\) | −15.9860 | − | 5.19416i | −0.616214 | − | 0.200220i | −0.0157555 | − | 0.999876i | \(-0.505015\pi\) |
−0.600459 | + | 0.799656i | \(0.705015\pi\) | |||||||
\(674\) | 18.7244 | + | 32.4315i | 0.721235 | + | 1.24922i | ||||
\(675\) | −2.22427 | − | 0.243796i | −0.0856124 | − | 0.00938373i | ||||
\(676\) | 12.0606 | − | 20.8895i | 0.463868 | − | 0.803443i | ||||
\(677\) | −2.44298 | − | 11.4933i | −0.0938915 | − | 0.441725i | −0.999832 | − | 0.0183202i | \(-0.994168\pi\) |
0.905941 | − | 0.423405i | \(-0.139165\pi\) | |||||||
\(678\) | −0.289026 | + | 0.397810i | −0.0111000 | + | 0.0152778i | ||||
\(679\) | −17.7857 | − | 19.5615i | −0.682551 | − | 0.750703i | ||||
\(680\) | −3.48021 | − | 3.14765i | −0.133460 | − | 0.120707i | ||||
\(681\) | 0.470454 | + | 0.209459i | 0.0180278 | + | 0.00802650i | ||||
\(682\) | 75.2854 | + | 43.4661i | 2.88283 | + | 1.66440i | ||||
\(683\) | −3.98400 | + | 0.418735i | −0.152443 | + | 0.0160224i | −0.180443 | − | 0.983585i | \(-0.557753\pi\) |
0.0279993 | + | 0.999608i | \(0.491086\pi\) | |||||||
\(684\) | −37.9288 | + | 42.1242i | −1.45024 | + | 1.61066i | ||||
\(685\) | 2.09507 | − | 19.5153i | 0.0800484 | − | 0.745641i | ||||
\(686\) | 44.0578 | + | 18.8533i | 1.68214 | + | 0.719824i | ||||
\(687\) | 1.30388 | − | 0.423655i | 0.0497459 | − | 0.0161634i | ||||
\(688\) | −58.2697 | − | 52.4663i | −2.22151 | − | 2.00026i | ||||
\(689\) | −6.88587 | − | 7.64753i | −0.262331 | − | 0.291348i | ||||
\(690\) | −2.45270 | − | 1.79034i | −0.0933726 | − | 0.0681572i | ||||
\(691\) | 11.3903 | − | 12.6502i | 0.433309 | − | 0.481238i | −0.486458 | − | 0.873704i | \(-0.661711\pi\) |
0.919766 | + | 0.392466i | \(0.128378\pi\) | |||||||
\(692\) | 14.5993 | + | 20.0942i | 0.554981 | + | 0.763865i | ||||
\(693\) | −6.07947 | + | 29.2990i | −0.230940 | + | 1.11298i | ||||
\(694\) | 6.84312 | − | 4.97182i | 0.259761 | − | 0.188728i | ||||
\(695\) | 4.98495 | − | 23.1983i | 0.189090 | − | 0.879963i | ||||
\(696\) | −1.30053 | + | 0.579035i | −0.0492966 | + | 0.0219483i | ||||
\(697\) | −0.277484 | − | 0.623239i | −0.0105105 | − | 0.0236069i | ||||
\(698\) | 10.8266 | + | 50.9351i | 0.409793 | + | 1.92792i | ||||
\(699\) | −0.668680 | −0.0252918 | ||||||||
\(700\) | −25.2868 | − | 56.7349i | −0.955750 | − | 2.14438i | ||||
\(701\) | −42.3252 | −1.59860 | −0.799300 | − | 0.600932i | \(-0.794796\pi\) | ||||
−0.799300 | + | 0.600932i | \(0.794796\pi\) | |||||||
\(702\) | 0.675105 | + | 3.17612i | 0.0254802 | + | 0.119875i | ||||
\(703\) | 5.34925 | + | 12.0146i | 0.201751 | + | 0.453140i | ||||
\(704\) | −15.7029 | + | 6.99140i | −0.591827 | + | 0.263498i | ||||
\(705\) | 0.375013 | + | 0.847364i | 0.0141238 | + | 0.0319136i | ||||
\(706\) | 66.1755 | − | 48.0793i | 2.49055 | − | 1.80949i | ||||
\(707\) | −4.36348 | − | 3.89078i | −0.164105 | − | 0.146328i | ||||
\(708\) | 1.81858 | + | 2.50306i | 0.0683465 | + | 0.0940709i | ||||
\(709\) | 7.25637 | − | 8.05902i | 0.272519 | − | 0.302663i | −0.591314 | − | 0.806441i | \(-0.701391\pi\) |
0.863833 | + | 0.503779i | \(0.168057\pi\) | |||||||
\(710\) | −6.00353 | + | 18.3380i | −0.225308 | + | 0.688212i | ||||
\(711\) | −16.9712 | − | 18.8485i | −0.636471 | − | 0.706873i | ||||
\(712\) | −39.9237 | − | 35.9475i | −1.49620 | − | 1.34719i | ||||
\(713\) | 59.4709 | − | 19.3233i | 2.22720 | − | 0.723662i | ||||
\(714\) | −0.0775345 | − | 0.132803i | −0.00290165 | − | 0.00497004i | ||||
\(715\) | 21.6131 | + | 9.68049i | 0.808286 | + | 0.362030i | ||||
\(716\) | 7.26567 | − | 8.06934i | 0.271531 | − | 0.301565i | ||||
\(717\) | −1.23054 | + | 0.129335i | −0.0459553 | + | 0.00483010i | ||||
\(718\) | 23.1533 | + | 13.3676i | 0.864074 | + | 0.498873i | ||||
\(719\) | 7.69245 | + | 3.42490i | 0.286880 | + | 0.127727i | 0.545132 | − | 0.838350i | \(-0.316480\pi\) |
−0.258252 | + | 0.966078i | \(0.583146\pi\) | |||||||
\(720\) | 11.9245 | + | 56.7209i | 0.444400 | + | 2.11386i | ||||
\(721\) | −3.30091 | + | 10.3292i | −0.122932 | + | 0.384679i | ||||
\(722\) | 4.17797 | − | 5.75049i | 0.155488 | − | 0.214011i | ||||
\(723\) | −0.0911057 | − | 0.428619i | −0.00338826 | − | 0.0159405i | ||||
\(724\) | 41.7979 | − | 72.3961i | 1.55341 | − | 2.69058i | ||||
\(725\) | 12.4635 | + | 5.61572i | 0.462883 | + | 0.208563i | ||||
\(726\) | 0.315411 | + | 0.546307i | 0.0117060 | + | 0.0202754i | ||||
\(727\) | −10.6486 | − | 3.45993i | −0.394934 | − | 0.128322i | 0.104816 | − | 0.994492i | \(-0.466575\pi\) |
−0.499750 | + | 0.866170i | \(0.666575\pi\) | |||||||
\(728\) | −38.2852 | + | 34.8095i | −1.41894 | + | 1.29013i | ||||
\(729\) | −21.6003 | − | 15.6936i | −0.800013 | − | 0.581243i | ||||
\(730\) | −65.4698 | − | 37.9936i | −2.42315 | − | 1.40621i | ||||
\(731\) | 0.284882 | + | 2.71048i | 0.0105368 | + | 0.100251i | ||||
\(732\) | −4.15026 | − | 2.39616i | −0.153398 | − | 0.0885644i | ||||
\(733\) | 8.68312 | − | 19.5026i | 0.320718 | − | 0.720345i | −0.679189 | − | 0.733963i | \(-0.737668\pi\) |
0.999907 | + | 0.0136185i | \(0.00433503\pi\) | |||||||
\(734\) | −13.6676 | − | 42.0646i | −0.504480 | − | 1.55263i | ||||
\(735\) | −0.130818 | − | 1.16120i | −0.00482530 | − | 0.0428316i | ||||
\(736\) | −18.3556 | + | 56.4927i | −0.676596 | + | 2.08235i | ||||
\(737\) | −9.65275 | − | 8.69137i | −0.355563 | − | 0.320151i | ||||
\(738\) | −3.65266 | + | 17.1844i | −0.134456 | + | 0.632568i | ||||
\(739\) | −3.96668 | − | 4.40544i | −0.145917 | − | 0.162057i | 0.665756 | − | 0.746170i | \(-0.268109\pi\) |
−0.811672 | + | 0.584113i | \(0.801443\pi\) | |||||||
\(740\) | 33.4867 | + | 7.19577i | 1.23100 | + | 0.264522i | ||||
\(741\) | 0.260798 | + | 0.802653i | 0.00958064 | + | 0.0294862i | ||||
\(742\) | −10.3301 | − | 22.9025i | −0.379230 | − | 0.840778i | ||||
\(743\) | − | 31.5615i | − | 1.15788i | −0.815371 | − | 0.578939i | \(-0.803467\pi\) | ||
0.815371 | − | 0.578939i | \(-0.196533\pi\) | |||||||
\(744\) | 4.23119 | + | 1.88385i | 0.155123 | + | 0.0690651i | ||||
\(745\) | 1.82217 | + | 2.51978i | 0.0667592 | + | 0.0923175i | ||||
\(746\) | 61.2969 | − | 27.2912i | 2.24424 | − | 0.999200i | ||||
\(747\) | −13.9121 | − | 1.46222i | −0.509017 | − | 0.0534998i | ||||
\(748\) | 5.07487 | + | 1.64893i | 0.185556 | + | 0.0602907i | ||||
\(749\) | −7.96674 | − | 24.1208i | −0.291099 | − | 0.881356i | ||||
\(750\) | −1.28112 | + | 1.73878i | −0.0467800 | + | 0.0634913i | ||||
\(751\) | 17.6528 | + | 30.5755i | 0.644160 | + | 1.11572i | 0.984495 | + | 0.175413i | \(0.0561262\pi\) |
−0.340335 | + | 0.940304i | \(0.610540\pi\) | |||||||
\(752\) | 35.7084 | − | 32.1520i | 1.30215 | − | 1.17246i | ||||
\(753\) | 0.109169 | + | 0.245198i | 0.00397834 | + | 0.00893550i | ||||
\(754\) | 2.07358 | − | 19.7288i | 0.0755154 | − | 0.718481i | ||||
\(755\) | −14.1528 | + | 31.5983i | −0.515074 | + | 1.14998i | ||||
\(756\) | −0.554333 | + | 5.53182i | −0.0201609 | + | 0.201191i | ||||
\(757\) | 9.26089i | 0.336593i | 0.985736 | + | 0.168296i | \(0.0538266\pi\) | ||||
−0.985736 | + | 0.168296i | \(0.946173\pi\) | |||||||
\(758\) | −7.93356 | + | 17.8191i | −0.288160 | + | 0.647218i | ||||
\(759\) | 1.93894 | + | 0.412134i | 0.0703790 | + | 0.0149595i | ||||
\(760\) | 19.2961 | + | 59.8401i | 0.699943 | + | 2.17063i | ||||
\(761\) | −49.4584 | + | 10.5127i | −1.79287 | + | 0.381086i | −0.979624 | − | 0.200839i | \(-0.935633\pi\) |
−0.813243 | + | 0.581925i | \(0.802300\pi\) | |||||||
\(762\) | 2.46139 | − | 0.799754i | 0.0891668 | − | 0.0289720i | ||||
\(763\) | −6.12063 | + | 13.9284i | −0.221582 | + | 0.504242i | ||||
\(764\) | 18.6607 | − | 57.4316i | 0.675119 | − | 2.07780i | ||||
\(765\) | 1.01120 | − | 1.74248i | 0.0365599 | − | 0.0629994i | ||||
\(766\) | −42.7134 | − | 9.07901i | −1.54330 | − | 0.328038i | ||||
\(767\) | −24.6138 | + | 2.58701i | −0.888751 | + | 0.0934115i | ||||
\(768\) | 1.44556 | − | 0.834595i | 0.0521622 | − | 0.0301158i | ||||
\(769\) | 14.4845 | − | 10.5236i | 0.522325 | − | 0.379492i | −0.295154 | − | 0.955450i | \(-0.595371\pi\) |
0.817479 | + | 0.575958i | \(0.195371\pi\) | |||||||
\(770\) | 43.0688 | + | 38.5755i | 1.55209 | + | 1.39017i | ||||
\(771\) | −0.263884 | − | 0.191723i | −0.00950356 | − | 0.00690474i | ||||
\(772\) | 124.136 | + | 13.0473i | 4.46777 | + | 0.469581i | ||||
\(773\) | 7.13915 | − | 6.42812i | 0.256778 | − | 0.231204i | −0.530680 | − | 0.847572i | \(-0.678063\pi\) |
0.787458 | + | 0.616369i | \(0.211397\pi\) | |||||||
\(774\) | 35.0919 | − | 60.7810i | 1.26135 | − | 2.18473i | ||||
\(775\) | −13.5551 | − | 42.3590i | −0.486914 | − | 1.52158i | ||||
\(776\) | 69.6957 | 2.50193 | ||||||||
\(777\) | 0.559583 | + | 0.319470i | 0.0200749 | + | 0.0114609i | ||||
\(778\) | 16.1084 | − | 22.1713i | 0.577514 | − | 0.794880i | ||||
\(779\) | −0.955496 | + | 9.09094i | −0.0342342 | + | 0.325717i | ||||
\(780\) | 2.08885 | + | 0.683854i | 0.0747930 | + | 0.0244859i | ||||
\(781\) | −1.31663 | − | 12.5269i | −0.0471127 | − | 0.448248i | ||||
\(782\) | 4.73990 | − | 2.73659i | 0.169499 | − | 0.0978601i | ||||
\(783\) | −0.719178 | − | 0.989863i | −0.0257013 | − | 0.0353748i | ||||
\(784\) | −55.1144 | + | 25.1813i | −1.96837 | + | 0.899331i | ||||
\(785\) | 3.17629 | + | 1.42265i | 0.113367 | + | 0.0507767i | ||||
\(786\) | 3.14693 | − | 0.668902i | 0.112247 | − | 0.0238589i | ||||
\(787\) | 0.158251 | − | 0.744513i | 0.00564104 | − | 0.0265390i | −0.975237 | − | 0.221162i | \(-0.929015\pi\) |
0.980878 | + | 0.194623i | \(0.0623484\pi\) | |||||||
\(788\) | 3.23222 | − | 15.2064i | 0.115143 | − | 0.541705i | ||||
\(789\) | −0.576005 | + | 0.122434i | −0.0205063 | + | 0.00435876i | ||||
\(790\) | −47.9593 | + | 10.0825i | −1.70632 | + | 0.358721i | ||||
\(791\) | −0.736403 | − | 6.69424i | −0.0261835 | − | 0.238020i | ||||
\(792\) | −46.3658 | − | 63.8170i | −1.64754 | − | 2.26764i | ||||
\(793\) | 33.1990 | − | 19.1674i | 1.17893 | − | 0.680656i | ||||
\(794\) | 9.63693 | + | 91.6893i | 0.342002 | + | 3.25393i | ||||
\(795\) | −0.361204 | + | 0.494834i | −0.0128106 | + | 0.0175500i | ||||
\(796\) | −7.56543 | + | 71.9802i | −0.268149 | + | 2.55127i | ||||
\(797\) | 10.7176 | − | 14.7515i | 0.379636 | − | 0.522524i | −0.575852 | − | 0.817554i | \(-0.695330\pi\) |
0.955488 | + | 0.295030i | \(0.0953296\pi\) | |||||||
\(798\) | 0.00998335 | + | 2.06046i | 0.000353407 | + | 0.0729396i | ||||
\(799\) | −1.67017 | −0.0590862 | ||||||||
\(800\) | 40.1216 | + | 13.2340i | 1.41851 | + | 0.467894i | ||||
\(801\) | 11.5324 | − | 19.9747i | 0.407477 | − | 0.705771i | ||||
\(802\) | −10.8107 | + | 9.73396i | −0.381737 | + | 0.343718i | ||||
\(803\) | 49.1421 | + | 5.16504i | 1.73419 | + | 0.182270i | ||||
\(804\) | −0.975287 | − | 0.708588i | −0.0343957 | − | 0.0249900i | ||||
\(805\) | 41.3503 | − | 4.45563i | 1.45741 | − | 0.157040i | ||||
\(806\) | −52.2137 | + | 37.9355i | −1.83915 | + | 1.33622i | ||||
\(807\) | 1.15142 | − | 0.664772i | 0.0405319 | − | 0.0234011i | ||||
\(808\) | 15.3271 | − | 1.61095i | 0.539206 | − | 0.0566729i | ||||
\(809\) | 26.8468 | + | 5.70647i | 0.943885 | + | 0.200629i | 0.654053 | − | 0.756449i | \(-0.273067\pi\) |
0.289832 | + | 0.957078i | \(0.406401\pi\) | |||||||
\(810\) | −47.3534 | + | 20.9569i | −1.66383 | + | 0.736351i | ||||
\(811\) | −8.93291 | + | 27.4927i | −0.313677 | + | 0.965399i | 0.662619 | + | 0.748957i | \(0.269445\pi\) |
−0.976296 | + | 0.216442i | \(0.930555\pi\) | |||||||
\(812\) | 13.6643 | − | 31.0952i | 0.479524 | − | 1.09123i | ||||
\(813\) | −0.756925 | + | 0.245940i | −0.0265465 | + | 0.00862548i | ||||
\(814\) | −31.1854 | + | 6.62865i | −1.09305 | + | 0.232334i | ||||
\(815\) | −18.0597 | − | 13.1827i | −0.632605 | − | 0.461769i | ||||
\(816\) | 0.190196 | + | 0.0404274i | 0.00665819 | + | 0.00141524i | ||||
\(817\) | 14.8530 | − | 33.3604i | 0.519640 | − | 1.16713i | ||||
\(818\) | − | 28.3839i | − | 0.992420i | ||||||
\(819\) | −18.0357 | − | 12.9706i | −0.630217 | − | 0.453230i | ||||
\(820\) | 17.6559 | + | 15.9688i | 0.616572 | + | 0.557654i | ||||
\(821\) | −2.40366 | + | 22.8693i | −0.0838884 | + | 0.798145i | 0.868998 | + | 0.494816i | \(0.164765\pi\) |
−0.952886 | + | 0.303329i | \(0.901902\pi\) | |||||||
\(822\) | 0.689677 | + | 1.54904i | 0.0240552 | + | 0.0540289i | ||||
\(823\) | −31.9252 | + | 28.7456i | −1.11284 | + | 1.00201i | −0.112879 | + | 0.993609i | \(0.536007\pi\) |
−0.999965 | + | 0.00840016i | \(0.997326\pi\) | |||||||
\(824\) | −14.2930 | − | 24.7563i | −0.497921 | − | 0.862425i | ||||
\(825\) | 0.299264 | − | 1.37774i | 0.0104190 | − | 0.0479667i | ||||
\(826\) | −59.1641 | − | 12.2764i | −2.05858 | − | 0.427151i | ||||
\(827\) | 32.8898 | + | 10.6865i | 1.14369 | + | 0.371608i | 0.818763 | − | 0.574131i | \(-0.194660\pi\) |
0.324927 | + | 0.945739i | \(0.394660\pi\) | |||||||
\(828\) | −98.3008 | − | 10.3318i | −3.41619 | − | 0.359056i | ||||
\(829\) | −31.5148 | + | 14.0313i | −1.09456 | + | 0.487328i | −0.872950 | − | 0.487809i | \(-0.837796\pi\) |
−0.221605 | + | 0.975136i | \(0.571130\pi\) | |||||||
\(830\) | −15.9362 | + | 21.8320i | −0.553155 | + | 0.757799i | ||||
\(831\) | −0.186702 | − | 0.0831250i | −0.00647662 | − | 0.00288357i | ||||
\(832\) | − | 12.7614i | − | 0.442421i | ||||||
\(833\) | 2.00931 | + | 0.631405i | 0.0696184 | + | 0.0218769i | ||||
\(834\) | 0.633447 | + | 1.94955i | 0.0219345 | + | 0.0675074i | ||||
\(835\) | 22.1520 | + | 24.7127i | 0.766601 | + | 0.855218i | ||||
\(836\) | −47.8409 | − | 53.1327i | −1.65461 | − | 1.83763i | ||||
\(837\) | −0.827631 | + | 3.89370i | −0.0286071 | + | 0.134586i | ||||
\(838\) | −24.5776 | − | 22.1297i | −0.849017 | − | 0.764459i | ||||
\(839\) | 0.970542 | − | 2.98702i | 0.0335068 | − | 0.103123i | −0.932904 | − | 0.360124i | \(-0.882734\pi\) |
0.966411 | + | 0.257001i | \(0.0827343\pi\) | |||||||
\(840\) | 2.49690 | + | 1.80413i | 0.0861513 | + | 0.0622484i | ||||
\(841\) | −6.65159 | − | 20.4715i | −0.229365 | − | 0.705913i | ||||
\(842\) | 41.4183 | − | 93.0270i | 1.42737 | − | 3.20592i | ||||
\(843\) | −0.957856 | − | 0.553018i | −0.0329903 | − | 0.0190470i | ||||
\(844\) | 6.13824 | + | 58.4015i | 0.211287 | + | 2.01026i | ||||
\(845\) | 8.55357 | − | 7.66726i | 0.294252 | − | 0.263762i | ||||
\(846\) | 34.7955 | + | 25.2804i | 1.19629 | + | 0.869159i | ||||
\(847\) | −8.22974 | − | 2.62999i | −0.282777 | − | 0.0903675i | ||||
\(848\) | 30.2133 | + | 9.81691i | 1.03753 | + | 0.337114i | ||||
\(849\) | −0.244706 | − | 0.423844i | −0.00839830 | − | 0.0145463i | ||||
\(850\) | −1.93135 | − | 3.37986i | −0.0662448 | − | 0.115928i | ||||
\(851\) | −11.4666 | + | 19.8607i | −0.393070 | + | 0.680817i | ||||
\(852\) | −0.243056 | − | 1.14349i | −0.00832695 | − | 0.0391752i | ||||
\(853\) | −3.81712 | + | 5.25381i | −0.130696 | + | 0.179887i | −0.869349 | − | 0.494198i | \(-0.835462\pi\) |
0.738654 | + | 0.674085i | \(0.235462\pi\) | |||||||
\(854\) | 91.4522 | − | 19.9024i | 3.12943 | − | 0.681045i | ||||
\(855\) | −23.4074 | + | 13.4449i | −0.800516 | + | 0.459805i | ||||
\(856\) | 61.1756 | + | 27.2371i | 2.09094 | + | 0.930945i | ||||
\(857\) | −29.0894 | − | 16.7947i | −0.993674 | − | 0.573698i | −0.0873032 | − | 0.996182i | \(-0.527825\pi\) |
−0.906370 | + | 0.422484i | \(0.861158\pi\) | |||||||
\(858\) | −2.03471 | + | 0.213857i | −0.0694639 | + | 0.00730095i | ||||
\(859\) | 35.5783 | − | 39.5137i | 1.21392 | − | 1.34819i | 0.294133 | − | 0.955765i | \(-0.404969\pi\) |
0.919784 | − | 0.392426i | \(-0.128364\pi\) | |||||||
\(860\) | −47.3683 | − | 82.4676i | −1.61524 | − | 2.81212i | ||||
\(861\) | 0.225806 | + | 0.386767i | 0.00769543 | + | 0.0131810i | ||||
\(862\) | −31.9046 | + | 10.3664i | −1.08668 | + | 0.353082i | ||||
\(863\) | 15.1367 | + | 13.6291i | 0.515258 | + | 0.463941i | 0.885264 | − | 0.465089i | \(-0.153978\pi\) |
−0.370006 | + | 0.929029i | \(0.620644\pi\) | |||||||
\(864\) | −2.53021 | − | 2.81008i | −0.0860795 | − | 0.0956010i | ||||
\(865\) | 3.63008 | + | 11.2574i | 0.123426 | + | 0.382764i | ||||
\(866\) | −53.3187 | + | 59.2164i | −1.81184 | + | 2.01225i | ||||
\(867\) | 0.742015 | + | 1.02130i | 0.0252001 | + | 0.0346850i | ||||
\(868\) | −104.928 | + | 34.6560i | −3.56148 | + | 1.17630i | ||||
\(869\) | 25.8816 | − | 18.8041i | 0.877972 | − | 0.637884i | ||||
\(870\) | −1.17479 | + | 0.120832i | −0.0398291 | + | 0.00409659i | ||||
\(871\) | 8.80956 | − | 3.92227i | 0.298501 | − | 0.132901i | ||||
\(872\) | −16.3127 | − | 36.6389i | −0.552418 | − | 1.24075i | ||||
\(873\) | 6.22124 | + | 29.2686i | 0.210557 | + | 0.990594i | ||||
\(874\) | −73.3345 | −2.48058 | ||||||||
\(875\) | −3.03809 | − | 29.4240i | −0.102706 | − | 0.994712i | ||||
\(876\) | 4.58603 | 0.154947 | ||||||||
\(877\) | 10.1063 | + | 47.5462i | 0.341264 | + | 1.60552i | 0.729513 | + | 0.683967i | \(0.239747\pi\) |
−0.388249 | + | 0.921555i | \(0.626920\pi\) | |||||||
\(878\) | −10.3028 | − | 23.1405i | −0.347703 | − | 0.780953i | ||||
\(879\) | −2.14618 | + | 0.955542i | −0.0723889 | + | 0.0322296i | ||||
\(880\) | −72.7242 | + | 7.48001i | −2.45153 | + | 0.252151i | ||||
\(881\) | −21.5813 | + | 15.6797i | −0.727092 | + | 0.528263i | −0.888642 | − | 0.458602i | \(-0.848351\pi\) |
0.161550 | + | 0.986864i | \(0.448351\pi\) | |||||||
\(882\) | −32.3038 | − | 43.5683i | −1.08773 | − | 1.46702i | ||||
\(883\) | 12.0556 | + | 16.5931i | 0.405702 | + | 0.558401i | 0.962164 | − | 0.272472i | \(-0.0878413\pi\) |
−0.556461 | + | 0.830873i | \(0.687841\pi\) | |||||||
\(884\) | −2.65080 | + | 2.94401i | −0.0891559 | + | 0.0990177i | ||||
\(885\) | 0.452187 | + | 1.40230i | 0.0152001 | + | 0.0471378i | ||||
\(886\) | −47.6258 | − | 52.8938i | −1.60002 | − | 1.77700i | ||||
\(887\) | 8.54556 | + | 7.69446i | 0.286932 | + | 0.258355i | 0.800009 | − | 0.599988i | \(-0.204828\pi\) |
−0.513077 | + | 0.858342i | \(0.671495\pi\) | |||||||
\(888\) | −1.61549 | + | 0.524905i | −0.0542123 | + | 0.0176147i | ||||
\(889\) | −17.5741 | + | 30.7828i | −0.589418 | + | 1.03242i | ||||
\(890\) | −22.1974 | − | 38.6454i | −0.744059 | − | 1.29540i | ||||
\(891\) | 22.6189 | − | 25.1208i | 0.757762 | − | 0.841579i | ||||
\(892\) | −36.3192 | + | 3.81730i | −1.21606 | + | 0.127813i | ||||
\(893\) | 19.3803 | + | 11.1892i | 0.648536 | + | 0.374432i | ||||
\(894\) | −0.245416 | − | 0.109266i | −0.00820794 | − | 0.00365441i | ||||
\(895\) | 4.48394 | − | 2.57551i | 0.149881 | − | 0.0860899i | ||||
\(896\) | −4.12609 | + | 12.9113i | −0.137843 | + | 0.431337i | ||||
\(897\) | −0.865017 | + | 1.19059i | −0.0288821 | + | 0.0397528i | ||||
\(898\) | 11.5634 | + | 54.4015i | 0.385876 | + | 1.81540i | ||||
\(899\) | 12.1597 | − | 21.0612i | 0.405548 | − | 0.702430i | ||||
\(900\) | −7.65961 | + | 69.8824i | −0.255320 | + | 2.32941i | ||||
\(901\) | −0.552109 | − | 0.956280i | −0.0183934 | − | 0.0318583i | ||||
\(902\) | −21.0750 | − | 6.84768i | −0.701720 | − | 0.228003i | ||||
\(903\) | −0.380460 | − | 1.74823i | −0.0126609 | − | 0.0581774i | ||||
\(904\) | 14.3629 | + | 10.4353i | 0.477705 | + | 0.347073i | ||||
\(905\) | 29.6438 | − | 26.5722i | 0.985394 | − | 0.883289i | ||||
\(906\) | −0.312658 | − | 2.97474i | −0.0103874 | − | 0.0988291i | ||||
\(907\) | 21.9203 | + | 12.6557i | 0.727851 | + | 0.420225i | 0.817635 | − | 0.575736i | \(-0.195285\pi\) |
−0.0897847 | + | 0.995961i | \(0.528618\pi\) | |||||||
\(908\) | 13.1739 | − | 29.5890i | 0.437190 | − | 0.981945i | ||||
\(909\) | 2.04466 | + | 6.29281i | 0.0678170 | + | 0.208719i | ||||
\(910\) | −39.1685 | + | 17.5620i | −1.29842 | + | 0.582175i | ||||
\(911\) | −1.82038 | + | 5.60255i | −0.0603118 | + | 0.185621i | −0.976673 | − | 0.214732i | \(-0.931112\pi\) |
0.916361 | + | 0.400352i | \(0.131112\pi\) | |||||||
\(912\) | −1.93615 | − | 1.74332i | −0.0641125 | − | 0.0577271i | ||||
\(913\) | 3.66849 | − | 17.2589i | 0.121409 | − | 0.571186i | ||||
\(914\) | 34.2780 | + | 38.0695i | 1.13381 | + | 1.25923i | ||||
\(915\) | −1.52331 | − | 1.69940i | −0.0503590 | − | 0.0561803i | ||||
\(916\) | −26.6456 | − | 82.0067i | −0.880395 | − | 2.70958i | ||||
\(917\) | −25.7268 | + | 35.7731i | −0.849574 | + | 1.18133i | ||||
\(918\) | 0.348417i | 0.0114995i | ||||||||
\(919\) | −13.1046 | − | 5.83456i | −0.432282 | − | 0.192464i | 0.179048 | − | 0.983840i | \(-0.442698\pi\) |
−0.611330 | + | 0.791376i | \(0.709365\pi\) | |||||||
\(920\) | −64.6404 | + | 88.5547i | −2.13113 | + | 2.91956i | ||||
\(921\) | −1.33426 | + | 0.594051i | −0.0439654 | + | 0.0195746i | ||||
\(922\) | −16.0193 | − | 1.68369i | −0.527566 | − | 0.0554495i | ||||
\(923\) | 8.89370 | + | 2.88974i | 0.292740 | + | 0.0951169i | ||||
\(924\) | −3.42989 | − | 0.711695i | −0.112835 | − | 0.0234130i | ||||
\(925\) | 14.0894 | + | 8.21834i | 0.463255 | + | 0.270217i | ||||
\(926\) | −14.2477 | − | 24.6777i | −0.468209 | − | 0.810961i | ||||
\(927\) | 9.12053 | − | 8.21216i | 0.299558 | − | 0.269723i | ||||
\(928\) | 9.39623 | + | 21.1043i | 0.308446 | + | 0.692782i | ||||
\(929\) | 1.90614 | − | 18.1357i | 0.0625384 | − | 0.595013i | −0.917711 | − | 0.397248i | \(-0.869965\pi\) |
0.980250 | − | 0.197765i | \(-0.0633682\pi\) | |||||||
\(930\) | 2.84962 | + | 2.57731i | 0.0934426 | + | 0.0845135i | ||||
\(931\) | −19.0855 | − | 20.7880i | −0.625503 | − | 0.681298i | ||||
\(932\) | 42.0564i | 1.37760i | ||||||||
\(933\) | 1.00380 | − | 2.25458i | 0.0328630 | − | 0.0738115i | ||||
\(934\) | −28.4649 | − | 6.05041i | −0.931401 | − | 0.197975i | ||||
\(935\) | 2.05248 | + | 1.49821i | 0.0671234 | + | 0.0489967i | ||||
\(936\) | 57.2836 | − | 12.1760i | 1.87237 | − | 0.397985i | ||||
\(937\) | 34.5518 | − | 11.2266i | 1.12876 | − | 0.366756i | 0.315655 | − | 0.948874i | \(-0.397776\pi\) |
0.813104 | + | 0.582118i | \(0.197776\pi\) | |||||||
\(938\) | 23.4024 | − | 2.57439i | 0.764116 | − | 0.0840569i | ||||
\(939\) | −0.175600 | + | 0.540442i | −0.00573050 | + | 0.0176367i | ||||
\(940\) | 53.2947 | − | 23.5863i | 1.73828 | − | 0.769301i | ||||
\(941\) | −42.4175 | − | 9.01612i | −1.38277 | − | 0.293917i | −0.544312 | − | 0.838883i | \(-0.683209\pi\) |
−0.838458 | + | 0.544966i | \(0.816543\pi\) | |||||||
\(942\) | −0.299023 | + | 0.0314286i | −0.00974269 | + | 0.00102400i | ||||
\(943\) | −13.8041 | + | 7.96983i | −0.449525 | + | 0.259533i | ||||
\(944\) | 61.8110 | − | 44.9084i | 2.01178 | − | 1.46164i | ||||
\(945\) | −1.07052 | + | 2.42148i | −0.0348240 | + | 0.0787707i | ||||
\(946\) | 71.6185 | + | 52.0339i | 2.32852 | + | 1.69177i | ||||
\(947\) | −27.3732 | − | 2.87704i | −0.889509 | − | 0.0934911i | −0.351261 | − | 0.936278i | \(-0.614247\pi\) |
−0.538248 | + | 0.842787i | \(0.680914\pi\) | |||||||
\(948\) | 2.20650 | − | 1.98674i | 0.0716638 | − | 0.0645264i | ||||
\(949\) | −18.3424 | + | 31.7699i | −0.595419 | + | 1.03130i | ||||
\(950\) | −0.232189 | + | 52.1582i | −0.00753320 | + | 1.69224i | ||||
\(951\) | −1.67235 | −0.0542297 | ||||||||
\(952\) | −4.79487 | + | 2.79938i | −0.155403 | + | 0.0907285i | ||||
\(953\) | −19.5661 | + | 26.9305i | −0.633809 | + | 0.872363i | −0.998266 | − | 0.0588568i | \(-0.981254\pi\) |
0.364457 | + | 0.931220i | \(0.381254\pi\) | |||||||
\(954\) | −2.97232 | + | 28.2797i | −0.0962323 | + | 0.915590i | ||||
\(955\) | 16.9550 | − | 23.2277i | 0.548652 | − | 0.751630i | ||||
\(956\) | 8.13446 | + | 77.3943i | 0.263087 | + | 2.50311i | ||||
\(957\) | 0.667643 | − | 0.385464i | 0.0215818 | − | 0.0124603i | ||||
\(958\) | 45.2497 | + | 62.2809i | 1.46195 | + | 2.01220i | ||||
\(959\) | −21.2612 | − | 9.34294i | −0.686561 | − | 0.301699i | ||||
\(960\) | −0.743472 | + | 0.156301i | −0.0239955 | + | 0.00504460i | ||||
\(961\) | −47.0696 | + | 10.0050i | −1.51838 | + | 0.322741i | ||||
\(962\) | 4.92121 | − | 23.1525i | 0.158666 | − | 0.746466i | ||||
\(963\) | −5.97749 | + | 28.1219i | −0.192622 | + | 0.906215i | ||||
\(964\) | −26.9578 | + | 5.73006i | −0.868252 | + | 0.184553i | ||||
\(965\) | 54.2489 | + | 24.2980i | 1.74633 | + | 0.782180i | ||||
\(966\) | −2.89651 | + | 2.12596i | −0.0931938 | + | 0.0684016i | ||||
\(967\) | −10.1761 | − | 14.0062i | −0.327242 | − | 0.450410i | 0.613419 | − | 0.789758i | \(-0.289794\pi\) |
−0.940661 | + | 0.339348i | \(0.889794\pi\) | |||||||
\(968\) | 19.7244 | − | 11.3879i | 0.633967 | − | 0.366021i | ||||
\(969\) | 0.00946592 | + | 0.0900622i | 0.000304089 | + | 0.00289322i | ||||
\(970\) | 54.9478 | + | 17.9889i | 1.76427 | + | 0.577590i | ||||
\(971\) | 2.30411 | − | 21.9221i | 0.0739424 | − | 0.703515i | −0.893266 | − | 0.449529i | \(-0.851592\pi\) |
0.967208 | − | 0.253986i | \(-0.0817416\pi\) | |||||||
\(972\) | 5.54941 | − | 7.63811i | 0.177998 | − | 0.244993i | ||||
\(973\) | −24.3816 | − | 13.9196i | −0.781637 | − | 0.446243i | ||||
\(974\) | 90.7513 | 2.90786 | ||||||||
\(975\) | 0.844055 | + | 0.619002i | 0.0270314 | + | 0.0198239i | ||||
\(976\) | −59.1710 | + | 102.487i | −1.89402 | + | 3.28054i | ||||
\(977\) | −15.0209 | + | 13.5249i | −0.480560 | + | 0.432698i | −0.873469 | − | 0.486879i | \(-0.838135\pi\) |
0.392909 | + | 0.919577i | \(0.371469\pi\) | |||||||
\(978\) | 1.92106 | + | 0.201912i | 0.0614287 | + | 0.00645642i | ||||
\(979\) | 23.5363 | + | 17.1001i | 0.752222 | + | 0.546521i | ||||
\(980\) | −73.0334 | + | 8.22775i | −2.33297 | + | 0.262826i | ||||
\(981\) | 13.9304 | − | 10.1210i | 0.444762 | − | 0.323139i | ||||
\(982\) | −4.41524 | + | 2.54914i | −0.140896 | + | 0.0813464i | ||||
\(983\) | 58.2178 | − | 6.11894i | 1.85686 | − | 0.195164i | 0.890961 | − | 0.454080i | \(-0.150032\pi\) |
0.965900 | + | 0.258916i | \(0.0833653\pi\) | |||||||
\(984\) | −1.15483 | − | 0.245466i | −0.0368146 | − | 0.00782518i | ||||
\(985\) | 3.71594 | − | 6.40325i | 0.118400 | − | 0.204024i | ||||
\(986\) | 0.657772 | − | 2.02442i | 0.0209477 | − | 0.0644705i | ||||
\(987\) | 1.08984 | − | 0.119888i | 0.0346900 | − | 0.00381609i | ||||
\(988\) | 50.4825 | − | 16.4028i | 1.60606 | − | 0.521842i | ||||
\(989\) | 62.2859 | − | 13.2393i | 1.98058 | − | 0.420984i | ||||
\(990\) | −20.0830 | − | 62.2804i | −0.638279 | − | 1.97940i | ||||
\(991\) | −12.4042 | − | 2.63659i | −0.394032 | − | 0.0837541i | 0.00663458 | − | 0.999978i | \(-0.497888\pi\) |
−0.400667 | + | 0.916224i | \(0.631221\pi\) | |||||||
\(992\) | 30.5699 | − | 68.6611i | 0.970595 | − | 2.17999i | ||||
\(993\) | − | 0.695326i | − | 0.0220655i | ||||||
\(994\) | 18.5354 | + | 13.3301i | 0.587909 | + | 0.422804i | ||||
\(995\) | −14.0891 | + | 31.4561i | −0.446656 | + | 0.997226i | ||||
\(996\) | 0.171175 | − | 1.62862i | 0.00542389 | − | 0.0516049i | ||||
\(997\) | −0.300615 | − | 0.675192i | −0.00952056 | − | 0.0213835i | 0.908723 | − | 0.417401i | \(-0.137059\pi\) |
−0.918243 | + | 0.396017i | \(0.870392\pi\) | |||||||
\(998\) | 33.9653 | − | 30.5825i | 1.07515 | − | 0.968073i | ||||
\(999\) | −0.729952 | − | 1.26431i | −0.0230947 | − | 0.0400011i |
(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 | 175.2.t.a.4.18 | ✓ | 144 | |
5.2 | odd | 4 | 875.2.q.b.851.2 | 288 | |||
5.3 | odd | 4 | 875.2.q.b.851.35 | 288 | |||
5.4 | even | 2 | 875.2.u.a.774.1 | 144 | |||
7.2 | even | 3 | inner | 175.2.t.a.79.18 | yes | 144 | |
25.6 | even | 5 | 875.2.u.a.599.1 | 144 | |||
25.8 | odd | 20 | 875.2.q.b.151.2 | 288 | |||
25.17 | odd | 20 | 875.2.q.b.151.35 | 288 | |||
25.19 | even | 10 | inner | 175.2.t.a.144.18 | yes | 144 | |
35.2 | odd | 12 | 875.2.q.b.226.35 | 288 | |||
35.9 | even | 6 | 875.2.u.a.149.1 | 144 | |||
35.23 | odd | 12 | 875.2.q.b.226.2 | 288 | |||
175.44 | even | 30 | inner | 175.2.t.a.44.18 | yes | 144 | |
175.58 | odd | 60 | 875.2.q.b.401.35 | 288 | |||
175.142 | odd | 60 | 875.2.q.b.401.2 | 288 | |||
175.156 | even | 15 | 875.2.u.a.849.1 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.t.a.4.18 | ✓ | 144 | 1.1 | even | 1 | trivial | |
175.2.t.a.44.18 | yes | 144 | 175.44 | even | 30 | inner | |
175.2.t.a.79.18 | yes | 144 | 7.2 | even | 3 | inner | |
175.2.t.a.144.18 | yes | 144 | 25.19 | even | 10 | inner | |
875.2.q.b.151.2 | 288 | 25.8 | odd | 20 | |||
875.2.q.b.151.35 | 288 | 25.17 | odd | 20 | |||
875.2.q.b.226.2 | 288 | 35.23 | odd | 12 | |||
875.2.q.b.226.35 | 288 | 35.2 | odd | 12 | |||
875.2.q.b.401.2 | 288 | 175.142 | odd | 60 | |||
875.2.q.b.401.35 | 288 | 175.58 | odd | 60 | |||
875.2.q.b.851.2 | 288 | 5.2 | odd | 4 | |||
875.2.q.b.851.35 | 288 | 5.3 | odd | 4 | |||
875.2.u.a.149.1 | 144 | 35.9 | even | 6 | |||
875.2.u.a.599.1 | 144 | 25.6 | even | 5 | |||
875.2.u.a.774.1 | 144 | 5.4 | even | 2 | |||
875.2.u.a.849.1 | 144 | 175.156 | even | 15 |