Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(3,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.x (of order \(60\), degree \(16\), 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: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 108.3 | ||
Character | \(\chi\) | \(=\) | 175.108 |
Dual form | 175.2.x.a.47.3 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.128358 | − | 2.44921i | −0.0907625 | − | 1.73185i | −0.542808 | − | 0.839857i | \(-0.682639\pi\) |
0.452045 | − | 0.891995i | \(-0.350695\pi\) | |||||||
\(3\) | −2.33133 | − | 1.88788i | −1.34600 | − | 1.08997i | −0.987701 | − | 0.156357i | \(-0.950025\pi\) |
−0.358295 | − | 0.933609i | \(-0.616642\pi\) | |||||||
\(4\) | −3.99310 | + | 0.419692i | −1.99655 | + | 0.209846i | ||||
\(5\) | 0.975297 | − | 2.01216i | 0.436166 | − | 0.899866i | ||||
\(6\) | −4.32456 | + | 5.95224i | −1.76549 | + | 2.42999i | ||||
\(7\) | 1.49568 | − | 2.18242i | 0.565314 | − | 0.824876i | ||||
\(8\) | 0.773125 | + | 4.88132i | 0.273341 | + | 1.72581i | ||||
\(9\) | 1.24730 | + | 5.86809i | 0.415767 | + | 1.95603i | ||||
\(10\) | −5.05339 | − | 2.13043i | −1.59802 | − | 0.673701i | ||||
\(11\) | 3.31278 | + | 0.704153i | 0.998840 | + | 0.212310i | 0.678189 | − | 0.734887i | \(-0.262765\pi\) |
0.320651 | + | 0.947197i | \(0.396098\pi\) | |||||||
\(12\) | 10.1016 | + | 6.56004i | 2.91607 | + | 1.89372i | ||||
\(13\) | 0.306584 | + | 0.601706i | 0.0850312 | + | 0.166883i | 0.929606 | − | 0.368554i | \(-0.120147\pi\) |
−0.844575 | + | 0.535437i | \(0.820147\pi\) | |||||||
\(14\) | −5.53718 | − | 3.38310i | −1.47987 | − | 0.904172i | ||||
\(15\) | −6.07245 | + | 2.84978i | −1.56790 | + | 0.735810i | ||||
\(16\) | 4.00142 | − | 0.850527i | 1.00035 | − | 0.212632i | ||||
\(17\) | 2.65746 | + | 1.02010i | 0.644528 | + | 0.247411i | 0.658604 | − | 0.752490i | \(-0.271147\pi\) |
−0.0140758 | + | 0.999901i | \(0.504481\pi\) | |||||||
\(18\) | 14.2121 | − | 3.80811i | 3.34982 | − | 0.897581i | ||||
\(19\) | 0.332985 | − | 3.16814i | 0.0763919 | − | 0.726821i | −0.887551 | − | 0.460710i | \(-0.847595\pi\) |
0.963943 | − | 0.266110i | \(-0.0857386\pi\) | |||||||
\(20\) | −3.04997 | + | 8.44409i | −0.681994 | + | 1.88816i | ||||
\(21\) | −7.60706 | + | 2.26428i | −1.66000 | + | 0.494107i | ||||
\(22\) | 1.29940 | − | 8.20407i | 0.277032 | − | 1.74911i | ||||
\(23\) | −5.31061 | + | 0.278317i | −1.10734 | + | 0.0580332i | −0.597225 | − | 0.802074i | \(-0.703730\pi\) |
−0.510114 | + | 0.860107i | \(0.670397\pi\) | |||||||
\(24\) | 7.41291 | − | 12.8395i | 1.51315 | − | 2.62086i | ||||
\(25\) | −3.09759 | − | 3.92491i | −0.619519 | − | 0.784982i | ||||
\(26\) | 1.43435 | − | 0.828123i | 0.281299 | − | 0.162408i | ||||
\(27\) | 4.08462 | − | 8.01652i | 0.786086 | − | 1.54278i | ||||
\(28\) | −5.05646 | + | 9.34234i | −0.955580 | + | 1.76554i | ||||
\(29\) | 5.40952 | + | 7.44556i | 1.00452 | + | 1.38261i | 0.922509 | + | 0.385975i | \(0.126135\pi\) |
0.0820132 | + | 0.996631i | \(0.473865\pi\) | |||||||
\(30\) | 7.75915 | + | 14.5069i | 1.41662 | + | 2.64859i | ||||
\(31\) | −2.24826 | − | 5.04968i | −0.403800 | − | 0.906949i | −0.994949 | − | 0.100386i | \(-0.967992\pi\) |
0.591149 | − | 0.806562i | \(-0.298674\pi\) | |||||||
\(32\) | −0.0384776 | − | 0.143600i | −0.00680194 | − | 0.0253852i | ||||
\(33\) | −6.39384 | − | 7.89573i | −1.11302 | − | 1.37447i | ||||
\(34\) | 2.15734 | − | 6.63961i | 0.369981 | − | 1.13868i | ||||
\(35\) | −2.93265 | − | 5.13805i | −0.495708 | − | 0.868489i | ||||
\(36\) | −7.44339 | − | 22.9084i | −1.24056 | − | 3.81807i | ||||
\(37\) | −0.910134 | + | 1.40148i | −0.149625 | + | 0.230402i | −0.905533 | − | 0.424275i | \(-0.860529\pi\) |
0.755908 | + | 0.654678i | \(0.227196\pi\) | |||||||
\(38\) | −7.80217 | − | 0.408894i | −1.26568 | − | 0.0663314i | ||||
\(39\) | 0.421196 | − | 1.98157i | 0.0674453 | − | 0.317305i | ||||
\(40\) | 10.5760 | + | 3.20508i | 1.67222 | + | 0.506768i | ||||
\(41\) | −0.985611 | − | 0.320244i | −0.153927 | − | 0.0500138i | 0.231040 | − | 0.972944i | \(-0.425787\pi\) |
−0.384967 | + | 0.922930i | \(0.625787\pi\) | |||||||
\(42\) | 6.52212 | + | 18.3406i | 1.00639 | + | 2.83002i | ||||
\(43\) | 3.97930 | + | 3.97930i | 0.606838 | + | 0.606838i | 0.942118 | − | 0.335280i | \(-0.108831\pi\) |
−0.335280 | + | 0.942118i | \(0.608831\pi\) | |||||||
\(44\) | −13.5238 | − | 1.42141i | −2.03879 | − | 0.214285i | ||||
\(45\) | 13.0240 | + | 3.21336i | 1.94151 | + | 0.479019i | ||||
\(46\) | 1.36331 | + | 12.9711i | 0.201010 | + | 1.91248i | ||||
\(47\) | −0.987046 | − | 2.57134i | −0.143976 | − | 0.375069i | 0.842563 | − | 0.538598i | \(-0.181046\pi\) |
−0.986539 | + | 0.163529i | \(0.947712\pi\) | |||||||
\(48\) | −10.9343 | − | 5.57132i | −1.57823 | − | 0.804150i | ||||
\(49\) | −2.52589 | − | 6.52839i | −0.360841 | − | 0.932627i | ||||
\(50\) | −9.21532 | + | 8.09044i | −1.30324 | + | 1.14416i | ||||
\(51\) | −4.26959 | − | 7.39515i | −0.597862 | − | 1.03553i | ||||
\(52\) | −1.47675 | − | 2.27400i | −0.204789 | − | 0.315347i | ||||
\(53\) | −2.51939 | + | 3.11118i | −0.346064 | + | 0.427354i | −0.920226 | − | 0.391388i | \(-0.871995\pi\) |
0.574161 | + | 0.818742i | \(0.305328\pi\) | |||||||
\(54\) | −20.1584 | − | 8.97511i | −2.74321 | − | 1.22136i | ||||
\(55\) | 4.64781 | − | 5.97909i | 0.626711 | − | 0.806220i | ||||
\(56\) | 11.8094 | + | 5.61361i | 1.57810 | + | 0.750150i | ||||
\(57\) | −6.75735 | + | 6.75735i | −0.895033 | + | 0.895033i | ||||
\(58\) | 17.5414 | − | 14.2047i | 2.30330 | − | 1.86517i | ||||
\(59\) | 0.797763 | + | 0.886005i | 0.103860 | + | 0.115348i | 0.792833 | − | 0.609438i | \(-0.208605\pi\) |
−0.688974 | + | 0.724787i | \(0.741938\pi\) | |||||||
\(60\) | 23.0519 | − | 13.9280i | 2.97599 | − | 1.79810i | ||||
\(61\) | 4.35276 | + | 3.91924i | 0.557313 | + | 0.501807i | 0.898966 | − | 0.438019i | \(-0.144320\pi\) |
−0.341652 | + | 0.939826i | \(0.610987\pi\) | |||||||
\(62\) | −12.0791 | + | 6.15462i | −1.53405 | + | 0.781638i | ||||
\(63\) | 14.6722 | + | 6.05465i | 1.84852 | + | 0.762814i | ||||
\(64\) | 7.43442 | − | 2.41559i | 0.929302 | − | 0.301949i | ||||
\(65\) | 1.50974 | − | 0.0300560i | 0.187260 | − | 0.00372798i | ||||
\(66\) | −18.5176 | + | 16.6733i | −2.27936 | + | 2.05234i | ||||
\(67\) | 2.67924 | − | 6.97967i | 0.327322 | − | 0.852702i | −0.666880 | − | 0.745166i | \(-0.732370\pi\) |
0.994201 | − | 0.107536i | \(-0.0342962\pi\) | |||||||
\(68\) | −11.0396 | − | 2.95806i | −1.33875 | − | 0.358717i | ||||
\(69\) | 12.9062 | + | 9.37692i | 1.55373 | + | 1.12885i | ||||
\(70\) | −12.2077 | + | 7.84217i | −1.45910 | + | 0.937319i | ||||
\(71\) | 7.96131 | − | 5.78423i | 0.944833 | − | 0.686462i | −0.00474583 | − | 0.999989i | \(-0.501511\pi\) |
0.949579 | + | 0.313527i | \(0.101511\pi\) | |||||||
\(72\) | −27.6797 | + | 10.6252i | −3.26208 | + | 1.25220i | ||||
\(73\) | 4.33497 | − | 2.81516i | 0.507370 | − | 0.329490i | −0.265440 | − | 0.964127i | \(-0.585517\pi\) |
0.772810 | + | 0.634638i | \(0.218851\pi\) | |||||||
\(74\) | 3.54935 | + | 2.04922i | 0.412603 | + | 0.238217i | ||||
\(75\) | −0.188223 | + | 14.9981i | −0.0217341 | + | 1.73184i | ||||
\(76\) | 12.7904i | 1.46716i | ||||||||
\(77\) | 6.49161 | − | 6.17668i | 0.739788 | − | 0.703898i | ||||
\(78\) | −4.90734 | − | 0.777246i | −0.555647 | − | 0.0880058i | ||||
\(79\) | −1.61674 | + | 3.63126i | −0.181897 | + | 0.408548i | −0.981363 | − | 0.192164i | \(-0.938450\pi\) |
0.799465 | + | 0.600712i | \(0.205116\pi\) | |||||||
\(80\) | 2.19117 | − | 8.88102i | 0.244980 | − | 0.992928i | ||||
\(81\) | −8.21521 | + | 3.65765i | −0.912802 | + | 0.406405i | ||||
\(82\) | −0.657835 | + | 2.45507i | −0.0726457 | + | 0.271117i | ||||
\(83\) | 7.87661 | − | 1.24753i | 0.864570 | − | 0.136934i | 0.291629 | − | 0.956531i | \(-0.405803\pi\) |
0.572941 | + | 0.819597i | \(0.305803\pi\) | |||||||
\(84\) | 29.4255 | − | 12.2341i | 3.21058 | − | 1.33485i | ||||
\(85\) | 4.64442 | − | 4.35233i | 0.503758 | − | 0.472077i | ||||
\(86\) | 9.23537 | − | 10.2569i | 0.995875 | − | 1.10603i | ||||
\(87\) | 1.44491 | − | 27.5706i | 0.154911 | − | 2.95588i | ||||
\(88\) | −0.876003 | + | 16.7151i | −0.0933822 | + | 1.78184i | ||||
\(89\) | −8.29060 | + | 9.20765i | −0.878802 | + | 0.976009i | −0.999862 | − | 0.0166367i | \(-0.994704\pi\) |
0.121060 | + | 0.992645i | \(0.461371\pi\) | |||||||
\(90\) | 6.19844 | − | 32.3110i | 0.653373 | − | 3.40588i | ||||
\(91\) | 1.77172 | + | 0.230864i | 0.185727 | + | 0.0242011i | ||||
\(92\) | 21.0890 | − | 3.34017i | 2.19868 | − | 0.348237i | ||||
\(93\) | −4.29172 | + | 16.0169i | −0.445030 | + | 1.66088i | ||||
\(94\) | −6.17106 | + | 2.74753i | −0.636496 | + | 0.283386i | ||||
\(95\) | −6.05005 | − | 3.75989i | −0.620722 | − | 0.385757i | ||||
\(96\) | −0.181395 | + | 0.407421i | −0.0185136 | + | 0.0415822i | ||||
\(97\) | −16.7616 | − | 2.65478i | −1.70189 | − | 0.269552i | −0.771526 | − | 0.636198i | \(-0.780506\pi\) |
−0.930361 | + | 0.366646i | \(0.880506\pi\) | |||||||
\(98\) | −15.6652 | + | 7.02439i | −1.58242 | + | 0.709571i | ||||
\(99\) | 20.3180i | 2.04203i | ||||||||
\(100\) | 14.0163 | + | 14.3725i | 1.40163 | + | 1.43725i | ||||
\(101\) | 1.88364 | + | 1.08752i | 0.187429 | + | 0.108212i | 0.590778 | − | 0.806834i | \(-0.298821\pi\) |
−0.403349 | + | 0.915046i | \(0.632154\pi\) | |||||||
\(102\) | −17.5642 | + | 11.4063i | −1.73912 | + | 1.12940i | ||||
\(103\) | −2.30638 | + | 0.885336i | −0.227254 | + | 0.0872347i | −0.469331 | − | 0.883022i | \(-0.655505\pi\) |
0.242077 | + | 0.970257i | \(0.422171\pi\) | |||||||
\(104\) | −2.70009 | + | 1.96173i | −0.264766 | + | 0.192363i | ||||
\(105\) | −2.86303 | + | 17.5150i | −0.279403 | + | 1.70929i | ||||
\(106\) | 7.94332 | + | 5.77116i | 0.771523 | + | 0.560544i | ||||
\(107\) | −1.72859 | − | 0.463175i | −0.167109 | − | 0.0447768i | 0.174294 | − | 0.984694i | \(-0.444236\pi\) |
−0.341404 | + | 0.939917i | \(0.610902\pi\) | |||||||
\(108\) | −12.9458 | + | 33.7251i | −1.24571 | + | 3.24520i | ||||
\(109\) | −1.82675 | + | 1.64482i | −0.174971 | + | 0.157545i | −0.751963 | − | 0.659205i | \(-0.770893\pi\) |
0.576992 | + | 0.816750i | \(0.304226\pi\) | |||||||
\(110\) | −15.2406 | − | 10.6160i | −1.45314 | − | 1.01220i | ||||
\(111\) | 4.76765 | − | 1.54910i | 0.452525 | − | 0.147034i | ||||
\(112\) | 4.12863 | − | 10.0049i | 0.390119 | − | 0.945372i | ||||
\(113\) | −1.65922 | + | 0.845414i | −0.156086 | + | 0.0795298i | −0.530289 | − | 0.847817i | \(-0.677916\pi\) |
0.374203 | + | 0.927347i | \(0.377916\pi\) | |||||||
\(114\) | 17.4175 | + | 15.6828i | 1.63130 | + | 1.46883i | ||||
\(115\) | −4.61940 | + | 10.9573i | −0.430761 | + | 1.02177i | ||||
\(116\) | −24.7256 | − | 27.4606i | −2.29571 | − | 2.54965i | ||||
\(117\) | −3.14846 | + | 2.54957i | −0.291075 | + | 0.235708i | ||||
\(118\) | 2.06761 | − | 2.06761i | 0.190339 | − | 0.190339i | ||||
\(119\) | 6.20099 | − | 4.27394i | 0.568444 | − | 0.391791i | ||||
\(120\) | −18.6055 | − | 27.4383i | −1.69844 | − | 2.50477i | ||||
\(121\) | 0.429674 | + | 0.191303i | 0.0390612 | + | 0.0173912i | ||||
\(122\) | 9.04032 | − | 11.1639i | 0.818472 | − | 1.01073i | ||||
\(123\) | 1.69321 | + | 2.60731i | 0.152671 | + | 0.235093i | ||||
\(124\) | 11.0968 | + | 19.2203i | 0.996526 | + | 1.72603i | ||||
\(125\) | −10.9186 | + | 2.40491i | −0.976592 | + | 0.215102i | ||||
\(126\) | 12.9458 | − | 36.7124i | 1.15330 | − | 3.27060i | ||||
\(127\) | −10.4896 | − | 5.34472i | −0.930802 | − | 0.474268i | −0.0782643 | − | 0.996933i | \(-0.524938\pi\) |
−0.852538 | + | 0.522665i | \(0.824938\pi\) | |||||||
\(128\) | −6.97710 | − | 18.1760i | −0.616694 | − | 1.60654i | ||||
\(129\) | −1.76465 | − | 16.7895i | −0.155369 | − | 1.47823i | ||||
\(130\) | −0.267400 | − | 3.69381i | −0.0234525 | − | 0.323969i | ||||
\(131\) | −13.6348 | − | 1.43308i | −1.19128 | − | 0.125208i | −0.511932 | − | 0.859026i | \(-0.671070\pi\) |
−0.679347 | + | 0.733817i | \(0.737737\pi\) | |||||||
\(132\) | 28.8450 | + | 28.8450i | 2.51064 | + | 2.51064i | ||||
\(133\) | −6.41616 | − | 5.46523i | −0.556352 | − | 0.473895i | ||||
\(134\) | −17.4386 | − | 5.66613i | −1.50646 | − | 0.489479i | ||||
\(135\) | −12.1468 | − | 16.0374i | −1.04543 | − | 1.38028i | ||||
\(136\) | −2.92490 | + | 13.7606i | −0.250808 | + | 1.17996i | ||||
\(137\) | 13.3958 | + | 0.702045i | 1.14448 | + | 0.0599797i | 0.615132 | − | 0.788424i | \(-0.289103\pi\) |
0.529350 | + | 0.848404i | \(0.322436\pi\) | |||||||
\(138\) | 21.3094 | − | 32.8136i | 1.81398 | − | 2.79328i | ||||
\(139\) | 3.08285 | + | 9.48803i | 0.261484 | + | 0.804764i | 0.992483 | + | 0.122385i | \(0.0390544\pi\) |
−0.730999 | + | 0.682379i | \(0.760946\pi\) | |||||||
\(140\) | 13.8668 | + | 19.2860i | 1.17195 | + | 1.62996i | ||||
\(141\) | −2.55324 | + | 7.85808i | −0.215022 | + | 0.661770i | ||||
\(142\) | −15.1887 | − | 18.7565i | −1.27461 | − | 1.57401i | ||||
\(143\) | 0.591954 | + | 2.20920i | 0.0495016 | + | 0.184743i | ||||
\(144\) | 9.98194 | + | 22.4198i | 0.831828 | + | 1.86832i | ||||
\(145\) | 20.2576 | − | 3.62320i | 1.68230 | − | 0.300890i | ||||
\(146\) | −7.45134 | − | 10.2559i | −0.616678 | − | 0.848784i | ||||
\(147\) | −6.43611 | + | 19.9884i | −0.530841 | + | 1.64862i | ||||
\(148\) | 3.04607 | − | 5.97824i | 0.250385 | − | 0.491408i | ||||
\(149\) | 20.0681 | − | 11.5863i | 1.64404 | − | 0.949187i | 0.664663 | − | 0.747143i | \(-0.268575\pi\) |
0.979376 | − | 0.202044i | \(-0.0647584\pi\) | |||||||
\(150\) | 36.7577 | − | 1.46413i | 3.00126 | − | 0.119546i | ||||
\(151\) | −4.39641 | + | 7.61480i | −0.357775 | + | 0.619684i | −0.987589 | − | 0.157062i | \(-0.949798\pi\) |
0.629814 | + | 0.776746i | \(0.283131\pi\) | |||||||
\(152\) | 15.7221 | − | 0.823962i | 1.27523 | − | 0.0668321i | ||||
\(153\) | −2.67140 | + | 16.8666i | −0.215970 | + | 1.36358i | ||||
\(154\) | −15.9612 | − | 15.1065i | −1.28619 | − | 1.21731i | ||||
\(155\) | −12.3535 | − | 0.401067i | −0.992256 | − | 0.0322145i | ||||
\(156\) | −0.850228 | + | 8.08938i | −0.0680727 | + | 0.647669i | ||||
\(157\) | 12.7655 | − | 3.42049i | 1.01879 | − | 0.272985i | 0.289495 | − | 0.957180i | \(-0.406513\pi\) |
0.729299 | + | 0.684195i | \(0.239846\pi\) | |||||||
\(158\) | 9.10123 | + | 3.49363i | 0.724055 | + | 0.277939i | ||||
\(159\) | 11.7471 | − | 2.49691i | 0.931602 | − | 0.198018i | ||||
\(160\) | −0.326474 | − | 0.0626297i | −0.0258100 | − | 0.00495131i | ||||
\(161\) | −7.33557 | + | 12.0062i | −0.578124 | + | 0.946225i | ||||
\(162\) | 10.0128 | + | 19.6513i | 0.786682 | + | 1.54395i | ||||
\(163\) | −10.0495 | − | 6.52620i | −0.787135 | − | 0.511171i | 0.0873771 | − | 0.996175i | \(-0.472151\pi\) |
−0.874512 | + | 0.485004i | \(0.838818\pi\) | |||||||
\(164\) | 4.07005 | + | 0.865116i | 0.317817 | + | 0.0675542i | ||||
\(165\) | −22.1234 | + | 5.16476i | −1.72230 | + | 0.402076i | ||||
\(166\) | −4.06649 | − | 19.1313i | −0.315621 | − | 1.48488i | ||||
\(167\) | 3.54656 | + | 22.3921i | 0.274441 | + | 1.73275i | 0.611480 | + | 0.791260i | \(0.290575\pi\) |
−0.337039 | + | 0.941491i | \(0.609425\pi\) | |||||||
\(168\) | −16.9339 | − | 35.3819i | −1.30648 | − | 2.72977i | ||||
\(169\) | 7.37315 | − | 10.1483i | 0.567166 | − | 0.780636i | ||||
\(170\) | −11.2559 | − | 10.8165i | −0.863289 | − | 0.829588i | ||||
\(171\) | 19.0062 | − | 1.99764i | 1.45344 | − | 0.152763i | ||||
\(172\) | −17.5598 | − | 14.2197i | −1.33893 | − | 1.08424i | ||||
\(173\) | 0.220591 | + | 4.20912i | 0.0167712 | + | 0.320013i | 0.994113 | + | 0.108347i | \(0.0345557\pi\) |
−0.977342 | + | 0.211666i | \(0.932111\pi\) | |||||||
\(174\) | −67.7116 | −5.13320 | ||||||||
\(175\) | −13.1988 | + | 0.889835i | −0.997735 | + | 0.0672652i | ||||
\(176\) | 13.8547 | 1.04434 | ||||||||
\(177\) | −0.187182 | − | 3.57165i | −0.0140695 | − | 0.268462i | ||||
\(178\) | 23.6156 | + | 19.1235i | 1.77006 | + | 1.43337i | ||||
\(179\) | −4.34914 | + | 0.457113i | −0.325070 | + | 0.0341662i | −0.265658 | − | 0.964067i | \(-0.585589\pi\) |
−0.0594118 | + | 0.998234i | \(0.518923\pi\) | |||||||
\(180\) | −53.3549 | − | 7.36517i | −3.97684 | − | 0.548968i | ||||
\(181\) | 14.5835 | − | 20.0725i | 1.08399 | − | 1.49198i | 0.228931 | − | 0.973443i | \(-0.426477\pi\) |
0.855056 | − | 0.518536i | \(-0.173523\pi\) | |||||||
\(182\) | 0.338019 | − | 4.36896i | 0.0250556 | − | 0.323849i | ||||
\(183\) | −2.74868 | − | 17.3545i | −0.203189 | − | 1.28288i | ||||
\(184\) | −5.46432 | − | 25.7076i | −0.402835 | − | 1.89519i | ||||
\(185\) | 1.93236 | + | 3.19820i | 0.142070 | + | 0.235136i | ||||
\(186\) | 39.7796 | + | 8.45542i | 2.91678 | + | 0.619981i | ||||
\(187\) | 8.08526 | + | 5.25063i | 0.591253 | + | 0.383964i | ||||
\(188\) | 5.02055 | + | 9.85338i | 0.366161 | + | 0.718632i | ||||
\(189\) | −11.3861 | − | 20.9045i | −0.828217 | − | 1.52058i | ||||
\(190\) | −8.43219 | + | 15.3004i | −0.611735 | + | 1.11001i | ||||
\(191\) | 15.2799 | − | 3.24784i | 1.10561 | − | 0.235005i | 0.381283 | − | 0.924459i | \(-0.375483\pi\) |
0.724330 | + | 0.689453i | \(0.242149\pi\) | |||||||
\(192\) | −21.8924 | − | 8.40371i | −1.57995 | − | 0.606486i | ||||
\(193\) | 19.7554 | − | 5.29344i | 1.42202 | − | 0.381030i | 0.535822 | − | 0.844331i | \(-0.320002\pi\) |
0.886201 | + | 0.463301i | \(0.153335\pi\) | |||||||
\(194\) | −4.35063 | + | 41.3935i | −0.312357 | + | 2.97188i | ||||
\(195\) | −3.57645 | − | 2.78013i | −0.256115 | − | 0.199089i | ||||
\(196\) | 12.8260 | + | 25.0084i | 0.916146 | + | 1.78632i | ||||
\(197\) | −2.13257 | + | 13.4645i | −0.151939 | + | 0.959306i | 0.787431 | + | 0.616402i | \(0.211410\pi\) |
−0.939371 | + | 0.342904i | \(0.888590\pi\) | |||||||
\(198\) | 49.7629 | − | 2.60797i | 3.53650 | − | 0.185340i | ||||
\(199\) | −10.9166 | + | 18.9082i | −0.773859 | + | 1.34036i | 0.161574 | + | 0.986861i | \(0.448343\pi\) |
−0.935434 | + | 0.353503i | \(0.884991\pi\) | |||||||
\(200\) | 16.7639 | − | 18.1548i | 1.18539 | − | 1.28374i | ||||
\(201\) | −19.4229 | + | 11.2138i | −1.36999 | + | 0.790964i | ||||
\(202\) | 2.42178 | − | 4.75301i | 0.170396 | − | 0.334421i | ||||
\(203\) | 24.3402 | − | 0.669652i | 1.70835 | − | 0.0470003i | ||||
\(204\) | 20.1526 | + | 27.7377i | 1.41096 | + | 1.94203i | ||||
\(205\) | −1.60565 | + | 1.67088i | −0.112143 | + | 0.116699i | ||||
\(206\) | 2.46441 | + | 5.53516i | 0.171704 | + | 0.385653i | ||||
\(207\) | −8.25712 | − | 30.8160i | −0.573910 | − | 2.14186i | ||||
\(208\) | 1.73854 | + | 2.14692i | 0.120546 | + | 0.148862i | ||||
\(209\) | 3.33396 | − | 10.2609i | 0.230615 | − | 0.709759i | ||||
\(210\) | 43.2653 | + | 4.76398i | 2.98559 | + | 0.328746i | ||||
\(211\) | 2.71073 | + | 8.34277i | 0.186614 | + | 0.574340i | 0.999972 | − | 0.00742360i | \(-0.00236303\pi\) |
−0.813358 | + | 0.581763i | \(0.802363\pi\) | |||||||
\(212\) | 8.75443 | − | 13.4806i | 0.601256 | − | 0.925854i | ||||
\(213\) | −29.4804 | − | 1.54500i | −2.01996 | − | 0.105862i | ||||
\(214\) | −0.912534 | + | 4.29314i | −0.0623795 | + | 0.293473i | ||||
\(215\) | 11.8880 | − | 4.12600i | 0.810755 | − | 0.281391i | ||||
\(216\) | 42.2891 | + | 13.7406i | 2.87741 | + | 0.934927i | ||||
\(217\) | −14.3832 | − | 2.64605i | −0.976393 | − | 0.179626i | ||||
\(218\) | 4.26298 | + | 4.26298i | 0.288725 | + | 0.288725i | ||||
\(219\) | −15.4209 | − | 1.62080i | −1.04205 | − | 0.109524i | ||||
\(220\) | −16.0498 | + | 25.8258i | −1.08208 | + | 1.74117i | ||||
\(221\) | 0.200934 | + | 1.91176i | 0.0135163 | + | 0.128599i | ||||
\(222\) | −4.40604 | − | 11.4781i | −0.295714 | − | 0.770362i | ||||
\(223\) | −7.97499 | − | 4.06346i | −0.534045 | − | 0.272109i | 0.166102 | − | 0.986109i | \(-0.446882\pi\) |
−0.700146 | + | 0.713999i | \(0.746882\pi\) | |||||||
\(224\) | −0.370946 | − | 0.130806i | −0.0247849 | − | 0.00873983i | ||||
\(225\) | 19.1681 | − | 23.0725i | 1.27787 | − | 1.53817i | ||||
\(226\) | 2.28357 | + | 3.95525i | 0.151901 | + | 0.263100i | ||||
\(227\) | 9.17280 | + | 14.1249i | 0.608820 | + | 0.937500i | 0.999853 | + | 0.0171240i | \(0.00545100\pi\) |
−0.391033 | + | 0.920376i | \(0.627882\pi\) | |||||||
\(228\) | 24.1468 | − | 29.8188i | 1.59916 | − | 1.97480i | ||||
\(229\) | −0.0584255 | − | 0.0260127i | −0.00386087 | − | 0.00171897i | 0.404805 | − | 0.914403i | \(-0.367339\pi\) |
−0.408666 | + | 0.912684i | \(0.634006\pi\) | |||||||
\(230\) | 27.4295 | + | 9.90743i | 1.80865 | + | 0.653277i | ||||
\(231\) | −26.7949 | + | 2.14454i | −1.76298 | + | 0.141100i | ||||
\(232\) | −32.1619 | + | 32.1619i | −2.11153 | + | 2.11153i | ||||
\(233\) | 14.4276 | − | 11.6832i | 0.945183 | − | 0.765394i | −0.0269957 | − | 0.999636i | \(-0.508594\pi\) |
0.972178 | + | 0.234242i | \(0.0752607\pi\) | |||||||
\(234\) | 6.64856 | + | 7.38398i | 0.434630 | + | 0.482706i | ||||
\(235\) | −6.13662 | − | 0.521725i | −0.400309 | − | 0.0340336i | ||||
\(236\) | −3.55740 | − | 3.20310i | −0.231567 | − | 0.208504i | ||||
\(237\) | 10.6245 | − | 5.41346i | 0.690137 | − | 0.351642i | ||||
\(238\) | −11.2637 | − | 14.6389i | −0.730117 | − | 0.948901i | ||||
\(239\) | −6.24077 | + | 2.02775i | −0.403682 | + | 0.131164i | −0.503819 | − | 0.863810i | \(-0.668072\pi\) |
0.100137 | + | 0.994974i | \(0.468072\pi\) | |||||||
\(240\) | −21.8746 | + | 16.5679i | −1.41200 | + | 1.06946i | ||||
\(241\) | 3.27870 | − | 2.95215i | 0.211199 | − | 0.190165i | −0.556741 | − | 0.830686i | \(-0.687948\pi\) |
0.767940 | + | 0.640521i | \(0.221282\pi\) | |||||||
\(242\) | 0.413389 | − | 1.07692i | 0.0265737 | − | 0.0692267i | ||||
\(243\) | −0.0141564 | − | 0.00379321i | −0.000908136 | − | 0.000243334i | ||||
\(244\) | −19.0259 | − | 13.8231i | −1.21801 | − | 0.884933i | ||||
\(245\) | −15.5997 | − | 1.28462i | −0.996626 | − | 0.0820714i | ||||
\(246\) | 6.16850 | − | 4.48168i | 0.393289 | − | 0.285741i | ||||
\(247\) | 2.00837 | − | 0.770943i | 0.127790 | − | 0.0490539i | ||||
\(248\) | 22.9109 | − | 14.8785i | 1.45484 | − | 0.944786i | ||||
\(249\) | −20.7182 | − | 11.9616i | −1.31296 | − | 0.758038i | ||||
\(250\) | 7.29161 | + | 26.4333i | 0.461162 | + | 1.67179i | ||||
\(251\) | − | 4.66639i | − | 0.294540i | −0.989096 | − | 0.147270i | \(-0.952951\pi\) | ||
0.989096 | − | 0.147270i | \(-0.0470486\pi\) | |||||||
\(252\) | −61.1286 | − | 18.0190i | −3.85074 | − | 1.13509i | ||||
\(253\) | −17.7889 | − | 2.81748i | −1.11838 | − | 0.177133i | ||||
\(254\) | −11.7439 | + | 26.3773i | −0.736879 | + | 1.65506i | ||||
\(255\) | −19.0444 | + | 1.37865i | −1.19260 | + | 0.0863342i | ||||
\(256\) | −29.3388 | + | 13.0625i | −1.83367 | + | 0.816404i | ||||
\(257\) | −1.87632 | + | 7.00253i | −0.117042 | + | 0.436806i | −0.999432 | − | 0.0337134i | \(-0.989267\pi\) |
0.882390 | + | 0.470519i | \(0.155933\pi\) | |||||||
\(258\) | −40.8945 | + | 6.47705i | −2.54598 | + | 0.403244i | ||||
\(259\) | 1.69735 | + | 4.08246i | 0.105468 | + | 0.253672i | ||||
\(260\) | −6.01593 | + | 0.753642i | −0.373092 | + | 0.0467389i | ||||
\(261\) | −36.9439 | + | 41.0304i | −2.28677 | + | 2.53972i | ||||
\(262\) | −1.75977 | + | 33.5784i | −0.108719 | + | 2.07448i | ||||
\(263\) | −0.586193 | + | 11.1852i | −0.0361462 | + | 0.689711i | 0.919123 | + | 0.393972i | \(0.128899\pi\) |
−0.955269 | + | 0.295739i | \(0.904434\pi\) | |||||||
\(264\) | 33.5983 | − | 37.3147i | 2.06784 | − | 2.29656i | ||||
\(265\) | 3.80306 | + | 8.10374i | 0.233620 | + | 0.497809i | ||||
\(266\) | −12.5619 | + | 16.4160i | −0.770221 | + | 1.00653i | ||||
\(267\) | 36.7110 | − | 5.81446i | 2.24668 | − | 0.355839i | ||||
\(268\) | −7.76918 | + | 28.9950i | −0.474578 | + | 1.77115i | ||||
\(269\) | −6.52032 | + | 2.90303i | −0.397551 | + | 0.177001i | −0.595767 | − | 0.803157i | \(-0.703152\pi\) |
0.198216 | + | 0.980158i | \(0.436485\pi\) | |||||||
\(270\) | −37.7198 | + | 31.8086i | −2.29555 | + | 1.93581i | ||||
\(271\) | 7.04083 | − | 15.8140i | 0.427700 | − | 0.960630i | −0.563236 | − | 0.826296i | \(-0.690444\pi\) |
0.990936 | − | 0.134334i | \(-0.0428894\pi\) | |||||||
\(272\) | 11.5012 | + | 1.82161i | 0.697364 | + | 0.110452i | ||||
\(273\) | −3.69464 | − | 3.88302i | −0.223610 | − | 0.235011i | ||||
\(274\) | − | 32.8993i | − | 1.98752i | ||||||
\(275\) | −7.49791 | − | 15.1835i | −0.452141 | − | 0.915602i | ||||
\(276\) | −55.4713 | − | 32.0264i | −3.33898 | − | 1.92776i | ||||
\(277\) | −11.8624 | + | 7.70351i | −0.712741 | + | 0.462859i | −0.849394 | − | 0.527760i | \(-0.823032\pi\) |
0.136653 | + | 0.990619i | \(0.456365\pi\) | |||||||
\(278\) | 22.8425 | − | 8.76840i | 1.37000 | − | 0.525893i | ||||
\(279\) | 26.8277 | − | 19.4915i | 1.60613 | − | 1.16692i | ||||
\(280\) | 22.8132 | − | 18.2875i | 1.36335 | − | 1.09289i | ||||
\(281\) | 8.33513 | + | 6.05583i | 0.497232 | + | 0.361260i | 0.807959 | − | 0.589239i | \(-0.200572\pi\) |
−0.310727 | + | 0.950499i | \(0.600572\pi\) | |||||||
\(282\) | 19.5738 | + | 5.24478i | 1.16560 | + | 0.312322i | ||||
\(283\) | 1.05621 | − | 2.75152i | 0.0627851 | − | 0.163561i | −0.898599 | − | 0.438771i | \(-0.855414\pi\) |
0.961384 | + | 0.275210i | \(0.0887473\pi\) | |||||||
\(284\) | −29.3627 | + | 26.4383i | −1.74236 | + | 1.56883i | ||||
\(285\) | 7.00646 | + | 20.1873i | 0.415027 | + | 1.19579i | ||||
\(286\) | 5.33481 | − | 1.73339i | 0.315454 | − | 0.102497i | ||||
\(287\) | −2.17306 | + | 1.67203i | −0.128272 | + | 0.0986969i | ||||
\(288\) | 0.794666 | − | 0.404903i | 0.0468261 | − | 0.0238591i | ||||
\(289\) | −6.61199 | − | 5.95346i | −0.388941 | − | 0.350204i | ||||
\(290\) | −11.4742 | − | 49.1499i | −0.673787 | − | 2.88618i | ||||
\(291\) | 34.0650 | + | 37.8331i | 1.99693 | + | 2.21781i | ||||
\(292\) | −16.1285 | + | 13.0606i | −0.943847 | + | 0.764313i | ||||
\(293\) | −7.38784 | + | 7.38784i | −0.431602 | + | 0.431602i | −0.889173 | − | 0.457571i | \(-0.848720\pi\) |
0.457571 | + | 0.889173i | \(0.348720\pi\) | |||||||
\(294\) | 49.7819 | + | 13.1977i | 2.90334 | + | 0.769706i | ||||
\(295\) | 2.56084 | − | 0.741110i | 0.149098 | − | 0.0431491i | ||||
\(296\) | −7.54473 | − | 3.35913i | −0.438529 | − | 0.195246i | ||||
\(297\) | 19.1763 | − | 23.6808i | 1.11272 | − | 1.37410i | ||||
\(298\) | −30.9532 | − | 47.6637i | −1.79307 | − | 2.76108i | ||||
\(299\) | −1.79562 | − | 3.11010i | −0.103843 | − | 0.179862i | ||||
\(300\) | −5.54301 | − | 59.9681i | −0.320026 | − | 3.46226i | ||||
\(301\) | 14.6363 | − | 2.73274i | 0.843620 | − | 0.157512i | ||||
\(302\) | 19.2145 | + | 9.79030i | 1.10567 | + | 0.563368i | ||||
\(303\) | −2.33829 | − | 6.09144i | −0.134331 | − | 0.349944i | ||||
\(304\) | −1.36218 | − | 12.9603i | −0.0781262 | − | 0.743321i | ||||
\(305\) | 12.1314 | − | 4.93603i | 0.694640 | − | 0.282636i | ||||
\(306\) | 41.6526 | + | 4.37787i | 2.38112 | + | 0.250266i | ||||
\(307\) | 19.3045 | + | 19.3045i | 1.10176 | + | 1.10176i | 0.994198 | + | 0.107567i | \(0.0343059\pi\) |
0.107567 | + | 0.994198i | \(0.465694\pi\) | |||||||
\(308\) | −23.3294 | + | 27.3886i | −1.32931 | + | 1.56061i | ||||
\(309\) | 7.04834 | + | 2.29014i | 0.400966 | + | 0.130282i | ||||
\(310\) | 0.603368 | + | 30.3077i | 0.0342690 | + | 1.72136i | ||||
\(311\) | −0.271828 | + | 1.27885i | −0.0154139 | + | 0.0725169i | −0.985182 | − | 0.171510i | \(-0.945135\pi\) |
0.969768 | + | 0.244027i | \(0.0784686\pi\) | |||||||
\(312\) | 9.99831 | + | 0.523989i | 0.566043 | + | 0.0296651i | ||||
\(313\) | −7.64733 | + | 11.7759i | −0.432252 | + | 0.665610i | −0.985937 | − | 0.167116i | \(-0.946555\pi\) |
0.553685 | + | 0.832726i | \(0.313221\pi\) | |||||||
\(314\) | −10.0160 | − | 30.8262i | −0.565238 | − | 1.73962i | ||||
\(315\) | 26.4927 | − | 23.6177i | 1.49269 | − | 1.33071i | ||||
\(316\) | 4.93180 | − | 15.1785i | 0.277435 | − | 0.853858i | ||||
\(317\) | 18.3433 | + | 22.6520i | 1.03026 | + | 1.27227i | 0.961550 | + | 0.274628i | \(0.0885549\pi\) |
0.0687096 | + | 0.997637i | \(0.478112\pi\) | |||||||
\(318\) | −7.62328 | − | 28.4505i | −0.427492 | − | 1.59542i | ||||
\(319\) | 12.6777 | + | 28.4746i | 0.709816 | + | 1.59427i | ||||
\(320\) | 2.39021 | − | 17.3152i | 0.133617 | − | 0.967947i | ||||
\(321\) | 3.15551 | + | 4.34318i | 0.176123 | + | 0.242413i | ||||
\(322\) | 30.3474 | + | 16.4252i | 1.69119 | + | 0.915343i | ||||
\(323\) | 4.11672 | − | 8.07951i | 0.229060 | − | 0.449556i | ||||
\(324\) | 31.2691 | − | 18.0532i | 1.73717 | − | 1.00296i | ||||
\(325\) | 1.41197 | − | 3.06716i | 0.0783218 | − | 0.170135i | ||||
\(326\) | −14.6941 | + | 25.4509i | −0.813831 | + | 1.40960i | ||||
\(327\) | 7.36398 | − | 0.385930i | 0.407229 | − | 0.0213420i | ||||
\(328\) | 0.801215 | − | 5.05867i | 0.0442397 | − | 0.279318i | ||||
\(329\) | −7.08805 | − | 1.69176i | −0.390777 | − | 0.0932697i | ||||
\(330\) | 15.4893 | + | 53.5218i | 0.852656 | + | 2.94628i | ||||
\(331\) | 0.881971 | − | 8.39139i | 0.0484775 | − | 0.461233i | −0.943175 | − | 0.332296i | \(-0.892177\pi\) |
0.991653 | − | 0.128937i | \(-0.0411565\pi\) | |||||||
\(332\) | −30.9285 | + | 8.28727i | −1.69742 | + | 0.454823i | ||||
\(333\) | −9.35924 | − | 3.59268i | −0.512883 | − | 0.196877i | ||||
\(334\) | 54.3876 | − | 11.5604i | 2.97596 | − | 0.632560i | ||||
\(335\) | −11.4312 | − | 12.1983i | −0.624551 | − | 0.666465i | ||||
\(336\) | −28.5132 | + | 15.5304i | −1.55552 | + | 0.847250i | ||||
\(337\) | −10.0363 | − | 19.6973i | −0.546710 | − | 1.07298i | −0.984742 | − | 0.174019i | \(-0.944324\pi\) |
0.438032 | − | 0.898959i | \(-0.355676\pi\) | |||||||
\(338\) | −25.8016 | − | 16.7558i | −1.40342 | − | 0.911394i | ||||
\(339\) | 5.46422 | + | 1.16146i | 0.296776 | + | 0.0630817i | ||||
\(340\) | −16.7190 | + | 19.3285i | −0.906715 | + | 1.04824i | ||||
\(341\) | −3.89225 | − | 18.3116i | −0.210777 | − | 0.991628i | ||||
\(342\) | −7.33222 | − | 46.2938i | −0.396481 | − | 2.50328i | ||||
\(343\) | −18.0256 | − | 4.25184i | −0.973290 | − | 0.229578i | ||||
\(344\) | −16.3478 | + | 22.5008i | −0.881412 | + | 1.21316i | ||||
\(345\) | 31.4553 | − | 16.8241i | 1.69350 | − | 0.905782i | ||||
\(346\) | 10.2807 | − | 1.08054i | 0.552694 | − | 0.0580904i | ||||
\(347\) | 14.3215 | + | 11.5973i | 0.768817 | + | 0.622576i | 0.931349 | − | 0.364128i | \(-0.118633\pi\) |
−0.162532 | + | 0.986703i | \(0.551966\pi\) | |||||||
\(348\) | 5.80147 | + | 110.699i | 0.310991 | + | 5.93407i | ||||
\(349\) | 30.5633 | 1.63602 | 0.818008 | − | 0.575207i | \(-0.195078\pi\) | ||||
0.818008 | + | 0.575207i | \(0.195078\pi\) | |||||||
\(350\) | 3.87356 | + | 32.2124i | 0.207050 | + | 1.72182i | ||||
\(351\) | 6.07587 | 0.324306 | ||||||||
\(352\) | −0.0263512 | − | 0.502810i | −0.00140452 | − | 0.0267999i | ||||
\(353\) | −19.6438 | − | 15.9073i | −1.04554 | − | 0.846658i | −0.0571106 | − | 0.998368i | \(-0.518189\pi\) |
−0.988425 | + | 0.151710i | \(0.951522\pi\) | |||||||
\(354\) | −8.72369 | + | 0.916897i | −0.463659 | + | 0.0487325i | ||||
\(355\) | −3.87417 | − | 21.6608i | −0.205620 | − | 1.14963i | ||||
\(356\) | 29.2408 | − | 40.2466i | 1.54976 | − | 2.13306i | ||||
\(357\) | −22.5252 | − | 1.74274i | −1.19216 | − | 0.0922356i | ||||
\(358\) | 1.67781 | + | 10.5933i | 0.0886749 | + | 0.559872i | ||||
\(359\) | 7.31316 | + | 34.4057i | 0.385974 | + | 1.81586i | 0.556899 | + | 0.830580i | \(0.311991\pi\) |
−0.170925 | + | 0.985284i | \(0.554676\pi\) | |||||||
\(360\) | −5.61621 | + | 66.0588i | −0.296000 | + | 3.48160i | ||||
\(361\) | 8.65859 | + | 1.84044i | 0.455715 | + | 0.0968653i | ||||
\(362\) | −51.0337 | − | 33.1417i | −2.68227 | − | 1.74189i | ||||
\(363\) | −0.640556 | − | 1.25716i | −0.0336205 | − | 0.0659839i | ||||
\(364\) | −7.17157 | − | 0.178284i | −0.375892 | − | 0.00934461i | ||||
\(365\) | −1.43668 | − | 11.4683i | −0.0751994 | − | 0.600277i | ||||
\(366\) | −42.1520 | + | 8.95968i | −2.20332 | + | 0.468330i | ||||
\(367\) | −2.14770 | − | 0.824426i | −0.112109 | − | 0.0430347i | 0.301667 | − | 0.953413i | \(-0.402457\pi\) |
−0.413776 | + | 0.910379i | \(0.635790\pi\) | |||||||
\(368\) | −21.0133 | + | 5.63048i | −1.09539 | + | 0.293509i | ||||
\(369\) | 0.649869 | − | 6.18309i | 0.0338308 | − | 0.321879i | ||||
\(370\) | 7.58502 | − | 5.14327i | 0.394327 | − | 0.267386i | ||||
\(371\) | 3.02170 | + | 10.1517i | 0.156879 | + | 0.527049i | ||||
\(372\) | 10.4151 | − | 65.7584i | 0.539998 | − | 3.40941i | ||||
\(373\) | −13.0628 | + | 0.684593i | −0.676367 | + | 0.0354469i | −0.387427 | − | 0.921900i | \(-0.626636\pi\) |
−0.288940 | + | 0.957347i | \(0.593303\pi\) | |||||||
\(374\) | 11.8221 | − | 20.4764i | 0.611305 | − | 1.05881i | ||||
\(375\) | 29.9951 | + | 15.0064i | 1.54894 | + | 0.774926i | ||||
\(376\) | 11.7884 | − | 6.80606i | 0.607942 | − | 0.350996i | ||||
\(377\) | −2.82156 | + | 5.53763i | −0.145318 | + | 0.285203i | ||||
\(378\) | −49.7379 | + | 30.5702i | −2.55824 | + | 1.57236i | ||||
\(379\) | −11.2000 | − | 15.4155i | −0.575307 | − | 0.791842i | 0.417864 | − | 0.908510i | \(-0.362779\pi\) |
−0.993171 | + | 0.116667i | \(0.962779\pi\) | |||||||
\(380\) | 25.7365 | + | 12.4745i | 1.32025 | + | 0.639927i | ||||
\(381\) | 14.3646 | + | 32.2634i | 0.735920 | + | 1.65290i | ||||
\(382\) | −9.91592 | − | 37.0067i | −0.507342 | − | 1.89343i | ||||
\(383\) | 12.9263 | + | 15.9626i | 0.660501 | + | 0.815650i | 0.991790 | − | 0.127879i | \(-0.0408169\pi\) |
−0.331289 | + | 0.943529i | \(0.607484\pi\) | |||||||
\(384\) | −18.0480 | + | 55.5461i | −0.921009 | + | 2.83457i | ||||
\(385\) | −6.09723 | − | 19.0863i | −0.310744 | − | 0.972726i | ||||
\(386\) | −15.5005 | − | 47.7056i | −0.788954 | − | 2.42815i | ||||
\(387\) | −18.3875 | + | 28.3143i | −0.934690 | + | 1.43930i | ||||
\(388\) | 68.0451 | + | 3.56609i | 3.45447 | + | 0.181041i | ||||
\(389\) | 8.14472 | − | 38.3179i | 0.412954 | − | 1.94279i | 0.0917605 | − | 0.995781i | \(-0.470751\pi\) |
0.321193 | − | 0.947014i | \(-0.395916\pi\) | |||||||
\(390\) | −6.35006 | + | 9.11632i | −0.321548 | + | 0.461623i | ||||
\(391\) | −14.3966 | − | 4.67775i | −0.728069 | − | 0.236564i | ||||
\(392\) | 29.9143 | − | 17.3769i | 1.51090 | − | 0.877667i | ||||
\(393\) | 29.0818 | + | 29.0818i | 1.46698 | + | 1.46698i | ||||
\(394\) | 33.2511 | + | 3.49483i | 1.67517 | + | 0.176067i | ||||
\(395\) | 5.72988 | + | 6.79469i | 0.288301 | + | 0.341878i | ||||
\(396\) | −8.52729 | − | 81.1317i | −0.428512 | − | 4.07702i | ||||
\(397\) | 5.42600 | + | 14.1352i | 0.272323 | + | 0.709426i | 0.999730 | + | 0.0232199i | \(0.00739178\pi\) |
−0.727407 | + | 0.686206i | \(0.759275\pi\) | |||||||
\(398\) | 47.7112 | + | 24.3101i | 2.39155 | + | 1.21855i | ||||
\(399\) | 4.64053 | + | 24.8542i | 0.232317 | + | 1.24427i | ||||
\(400\) | −15.7330 | − | 13.0706i | −0.786650 | − | 0.653531i | ||||
\(401\) | 11.4812 | + | 19.8860i | 0.573343 | + | 0.993059i | 0.996220 | + | 0.0868716i | \(0.0276870\pi\) |
−0.422877 | + | 0.906187i | \(0.638980\pi\) | |||||||
\(402\) | 29.9581 | + | 46.1315i | 1.49418 | + | 2.30083i | ||||
\(403\) | 2.34914 | − | 2.90094i | 0.117019 | − | 0.144506i | ||||
\(404\) | −7.97798 | − | 3.55203i | −0.396920 | − | 0.176720i | ||||
\(405\) | −0.652487 | + | 20.0976i | −0.0324224 | + | 0.998660i | ||||
\(406\) | −4.76437 | − | 59.5283i | −0.236452 | − | 2.95434i | ||||
\(407\) | −4.00193 | + | 4.00193i | −0.198368 | + | 0.198368i | ||||
\(408\) | 32.7972 | − | 26.5586i | 1.62370 | − | 1.31485i | ||||
\(409\) | −15.3308 | − | 17.0266i | −0.758059 | − | 0.841910i | 0.233393 | − | 0.972383i | \(-0.425017\pi\) |
−0.991452 | + | 0.130473i | \(0.958350\pi\) | |||||||
\(410\) | 4.29842 | + | 3.71809i | 0.212284 | + | 0.183624i | ||||
\(411\) | −29.9047 | − | 26.9263i | −1.47509 | − | 1.32818i | ||||
\(412\) | 8.83804 | − | 4.50320i | 0.435419 | − | 0.221857i | ||||
\(413\) | 3.12683 | − | 0.415871i | 0.153861 | − | 0.0204637i | ||||
\(414\) | −74.4149 | + | 24.1789i | −3.65729 | + | 1.18833i | ||||
\(415\) | 5.17179 | − | 17.0657i | 0.253873 | − | 0.837724i | ||||
\(416\) | 0.0746085 | − | 0.0671778i | 0.00365798 | − | 0.00329366i | ||||
\(417\) | 10.7251 | − | 27.9398i | 0.525209 | − | 1.36822i | ||||
\(418\) | −25.5589 | − | 6.84850i | −1.25013 | − | 0.334971i | ||||
\(419\) | −25.0790 | − | 18.2210i | −1.22519 | − | 0.890153i | −0.228671 | − | 0.973504i | \(-0.573438\pi\) |
−0.996520 | + | 0.0833506i | \(0.973438\pi\) | |||||||
\(420\) | 4.08148 | − | 71.1407i | 0.199156 | − | 3.47131i | ||||
\(421\) | −18.7028 | + | 13.5884i | −0.911518 | + | 0.662257i | −0.941398 | − | 0.337297i | \(-0.890487\pi\) |
0.0298801 | + | 0.999553i | \(0.490487\pi\) | |||||||
\(422\) | 20.0852 | − | 7.71000i | 0.977734 | − | 0.375317i | ||||
\(423\) | 13.8577 | − | 8.99932i | 0.673786 | − | 0.437562i | ||||
\(424\) | −17.1345 | − | 9.89259i | −0.832124 | − | 0.480427i | ||||
\(425\) | −4.22791 | − | 13.5901i | −0.205084 | − | 0.659219i | ||||
\(426\) | 72.4019i | 3.50788i | ||||||||
\(427\) | 15.0637 | − | 3.63760i | 0.728985 | − | 0.176036i | ||||
\(428\) | 7.09684 | + | 1.12403i | 0.343039 | + | 0.0543320i | ||||
\(429\) | 2.79066 | − | 6.26792i | 0.134734 | − | 0.302618i | ||||
\(430\) | −11.6314 | − | 28.5866i | −0.560914 | − | 1.37857i | ||||
\(431\) | −4.05026 | + | 1.80329i | −0.195094 | + | 0.0868615i | −0.501958 | − | 0.864892i | \(-0.667387\pi\) |
0.306864 | + | 0.951753i | \(0.400720\pi\) | |||||||
\(432\) | 9.52600 | − | 35.5515i | 0.458320 | − | 1.71047i | ||||
\(433\) | −23.2113 | + | 3.67631i | −1.11546 | + | 0.176672i | −0.686839 | − | 0.726810i | \(-0.741002\pi\) |
−0.428626 | + | 0.903482i | \(0.641002\pi\) | |||||||
\(434\) | −4.63454 | + | 35.5670i | −0.222465 | + | 1.70727i | ||||
\(435\) | −54.0673 | − | 29.7969i | −2.59233 | − | 1.42865i | ||||
\(436\) | 6.60410 | − | 7.33460i | 0.316279 | − | 0.351264i | ||||
\(437\) | −0.886605 | + | 16.9174i | −0.0424120 | + | 0.809270i | ||||
\(438\) | −1.99030 | + | 37.9771i | −0.0951000 | + | 1.81462i | ||||
\(439\) | −21.8140 | + | 24.2270i | −1.04113 | + | 1.15629i | −0.0536454 | + | 0.998560i | \(0.517084\pi\) |
−0.987482 | + | 0.157729i | \(0.949583\pi\) | |||||||
\(440\) | 32.7792 | + | 18.0649i | 1.56269 | + | 0.861209i | ||||
\(441\) | 35.1586 | − | 22.9650i | 1.67422 | − | 1.09357i | ||||
\(442\) | 4.65650 | − | 0.737516i | 0.221487 | − | 0.0350801i | ||||
\(443\) | −1.59298 | + | 5.94509i | −0.0756849 | + | 0.282460i | −0.993388 | − | 0.114808i | \(-0.963375\pi\) |
0.917703 | + | 0.397267i | \(0.130041\pi\) | |||||||
\(444\) | −18.3876 | + | 8.18667i | −0.872635 | + | 0.388522i | ||||
\(445\) | 10.4415 | + | 25.6622i | 0.494974 | + | 1.21651i | ||||
\(446\) | −8.92861 | + | 20.0540i | −0.422782 | + | 0.949583i | ||||
\(447\) | −68.6588 | − | 10.8745i | −3.24745 | − | 0.514346i | ||||
\(448\) | 5.84768 | − | 19.8379i | 0.276277 | − | 0.937255i | ||||
\(449\) | − | 11.7708i | − | 0.555497i | −0.960654 | − | 0.277748i | \(-0.910412\pi\) | ||
0.960654 | − | 0.277748i | \(-0.0895882\pi\) | |||||||
\(450\) | −58.9697 | − | 43.9851i | −2.77986 | − | 2.07348i | ||||
\(451\) | −3.03961 | − | 1.75492i | −0.143130 | − | 0.0826359i | ||||
\(452\) | 6.27061 | − | 4.07218i | 0.294945 | − | 0.191539i | ||||
\(453\) | 24.6253 | − | 9.45276i | 1.15700 | − | 0.444129i | ||||
\(454\) | 33.4173 | − | 24.2791i | 1.56835 | − | 1.13948i | ||||
\(455\) | 2.19249 | − | 3.33984i | 0.102786 | − | 0.156574i | ||||
\(456\) | −38.2090 | − | 27.7605i | −1.78930 | − | 1.30000i | ||||
\(457\) | −7.83968 | − | 2.10064i | −0.366725 | − | 0.0982637i | 0.0707504 | − | 0.997494i | \(-0.477461\pi\) |
−0.437475 | + | 0.899230i | \(0.644127\pi\) | |||||||
\(458\) | −0.0562112 | + | 0.146435i | −0.00262658 | + | 0.00684247i | ||||
\(459\) | 19.0324 | − | 17.1368i | 0.888355 | − | 0.799879i | ||||
\(460\) | 13.8471 | − | 45.6922i | 0.645623 | − | 2.13041i | ||||
\(461\) | 10.6651 | − | 3.46531i | 0.496724 | − | 0.161395i | −0.0499320 | − | 0.998753i | \(-0.515900\pi\) |
0.546656 | + | 0.837357i | \(0.315900\pi\) | |||||||
\(462\) | 8.69175 | + | 65.3510i | 0.404377 | + | 3.04041i | ||||
\(463\) | 4.85570 | − | 2.47410i | 0.225664 | − | 0.114981i | −0.337504 | − | 0.941324i | \(-0.609583\pi\) |
0.563167 | + | 0.826343i | \(0.309583\pi\) | |||||||
\(464\) | 27.9784 | + | 25.1919i | 1.29886 | + | 1.16950i | ||||
\(465\) | 28.0429 | + | 24.2569i | 1.30046 | + | 1.12489i | ||||
\(466\) | −30.4666 | − | 33.8365i | −1.41134 | − | 1.56745i | ||||
\(467\) | −5.72965 | + | 4.63978i | −0.265136 | + | 0.214703i | −0.752665 | − | 0.658404i | \(-0.771232\pi\) |
0.487528 | + | 0.873107i | \(0.337899\pi\) | |||||||
\(468\) | 11.5021 | − | 11.5021i | 0.531684 | − | 0.531684i | ||||
\(469\) | −11.2253 | − | 16.2866i | −0.518334 | − | 0.752044i | ||||
\(470\) | −0.490132 | + | 15.0968i | −0.0226081 | + | 0.696365i | ||||
\(471\) | −36.2180 | − | 16.1253i | −1.66884 | − | 0.743014i | ||||
\(472\) | −3.70811 | + | 4.57913i | −0.170679 | + | 0.210771i | ||||
\(473\) | 10.3805 | + | 15.9846i | 0.477297 | + | 0.734972i | ||||
\(474\) | −14.6224 | − | 25.3268i | −0.671631 | − | 1.16330i | ||||
\(475\) | −13.4661 | + | 8.50667i | −0.617867 | + | 0.390313i | ||||
\(476\) | −22.9675 | + | 19.6688i | −1.05271 | + | 0.901516i | ||||
\(477\) | −21.3991 | − | 10.9034i | −0.979799 | − | 0.499232i | ||||
\(478\) | 5.76743 | + | 15.0247i | 0.263796 | + | 0.687212i | ||||
\(479\) | −1.04715 | − | 9.96298i | −0.0478456 | − | 0.455220i | −0.992049 | − | 0.125856i | \(-0.959832\pi\) |
0.944203 | − | 0.329364i | \(-0.106834\pi\) | |||||||
\(480\) | 0.642882 | + | 0.762353i | 0.0293434 | + | 0.0347965i | ||||
\(481\) | −1.12231 | − | 0.117960i | −0.0511731 | − | 0.00537851i | ||||
\(482\) | −7.65128 | − | 7.65128i | −0.348506 | − | 0.348506i | ||||
\(483\) | 39.7679 | − | 14.1419i | 1.80950 | − | 0.643479i | ||||
\(484\) | −1.79602 | − | 0.583562i | −0.0816372 | − | 0.0265255i | ||||
\(485\) | −21.6894 | + | 31.1379i | −0.984866 | + | 1.41390i | ||||
\(486\) | −0.00747327 | + | 0.0351590i | −0.000338994 | + | 0.00159484i | ||||
\(487\) | −18.5946 | − | 0.974503i | −0.842603 | − | 0.0441589i | −0.373851 | − | 0.927489i | \(-0.621963\pi\) |
−0.468752 | + | 0.883330i | \(0.655296\pi\) | |||||||
\(488\) | −15.7658 | + | 24.2773i | −0.713686 | + | 1.09898i | ||||
\(489\) | 11.1080 | + | 34.1869i | 0.502321 | + | 1.54598i | ||||
\(490\) | −1.14397 | + | 38.3717i | −0.0516792 | + | 1.73346i | ||||
\(491\) | 3.16161 | − | 9.73045i | 0.142682 | − | 0.439129i | −0.854024 | − | 0.520234i | \(-0.825845\pi\) |
0.996706 | + | 0.0811048i | \(0.0258448\pi\) | |||||||
\(492\) | −7.85541 | − | 9.70062i | −0.354149 | − | 0.437338i | ||||
\(493\) | 6.78033 | + | 25.3045i | 0.305371 | + | 1.13966i | ||||
\(494\) | −2.14599 | − | 4.81997i | −0.0965526 | − | 0.216861i | ||||
\(495\) | 40.8831 | + | 19.8160i | 1.83756 | + | 0.890665i | ||||
\(496\) | −13.2911 | − | 18.2936i | −0.596789 | − | 0.821409i | ||||
\(497\) | −0.716037 | − | 26.0262i | −0.0321187 | − | 1.16744i | ||||
\(498\) | −26.6372 | + | 52.2785i | −1.19364 | + | 2.34266i | ||||
\(499\) | −8.93457 | + | 5.15838i | −0.399966 | + | 0.230921i | −0.686470 | − | 0.727159i | \(-0.740840\pi\) |
0.286503 | + | 0.958079i | \(0.407507\pi\) | |||||||
\(500\) | 42.5899 | − | 14.1855i | 1.90468 | − | 0.634395i | ||||
\(501\) | 34.0053 | − | 58.8988i | 1.51924 | − | 2.63141i | ||||
\(502\) | −11.4290 | + | 0.598967i | −0.510100 | + | 0.0267332i | ||||
\(503\) | 4.07688 | − | 25.7404i | 0.181779 | − | 1.14771i | −0.712989 | − | 0.701176i | \(-0.752659\pi\) |
0.894768 | − | 0.446532i | \(-0.147341\pi\) | |||||||
\(504\) | −18.2112 | + | 76.3006i | −0.811193 | + | 3.39870i | ||||
\(505\) | 4.02537 | − | 2.72953i | 0.179127 | − | 0.121463i | ||||
\(506\) | −4.61726 | + | 43.9303i | −0.205262 | + | 1.95294i | ||||
\(507\) | −36.3479 | + | 9.73940i | −1.61427 | + | 0.432542i | ||||
\(508\) | 44.1292 | + | 16.9396i | 1.95792 | + | 0.751574i | ||||
\(509\) | −10.6675 | + | 2.26746i | −0.472831 | + | 0.100503i | −0.438163 | − | 0.898896i | \(-0.644371\pi\) |
−0.0346678 | + | 0.999399i | \(0.511037\pi\) | |||||||
\(510\) | 5.82108 | + | 46.4666i | 0.257762 | + | 2.05758i | ||||
\(511\) | 0.339866 | − | 13.6713i | 0.0150348 | − | 0.604782i | ||||
\(512\) | 18.0810 | + | 35.4859i | 0.799074 | + | 1.56827i | ||||
\(513\) | −24.0373 | − | 15.6100i | −1.06127 | − | 0.689199i | ||||
\(514\) | 17.3915 | + | 3.69667i | 0.767106 | + | 0.163053i | ||||
\(515\) | −0.467964 | + | 5.50427i | −0.0206210 | + | 0.242547i | ||||
\(516\) | 14.0928 | + | 66.3016i | 0.620403 | + | 2.91877i | ||||
\(517\) | −1.45925 | − | 9.21333i | −0.0641776 | − | 0.405202i | ||||
\(518\) | 9.78093 | − | 4.68119i | 0.429749 | − | 0.205679i | ||||
\(519\) | 7.43202 | − | 10.2293i | 0.326230 | − | 0.449017i | ||||
\(520\) | 1.31393 | + | 7.34629i | 0.0576197 | + | 0.322156i | ||||
\(521\) | −20.6341 | + | 2.16873i | −0.903996 | + | 0.0950138i | −0.545107 | − | 0.838367i | \(-0.683511\pi\) |
−0.358889 | + | 0.933380i | \(0.616844\pi\) | |||||||
\(522\) | 105.234 | + | 85.2168i | 4.60597 | + | 3.72984i | ||||
\(523\) | −0.218055 | − | 4.16073i | −0.00953487 | − | 0.181936i | −0.999245 | − | 0.0388497i | \(-0.987631\pi\) |
0.989710 | − | 0.143086i | \(-0.0457027\pi\) | |||||||
\(524\) | 55.0466 | 2.40472 | ||||||||
\(525\) | 32.4507 | + | 22.8432i | 1.41626 | + | 0.996958i | ||||
\(526\) | 27.4702 | 1.19776 | ||||||||
\(527\) | −0.823471 | − | 15.7128i | −0.0358709 | − | 0.684458i | ||||
\(528\) | −32.2999 | − | 26.1560i | −1.40567 | − | 1.13829i | ||||
\(529\) | 5.25113 | − | 0.551916i | 0.228310 | − | 0.0239964i | ||||
\(530\) | 19.3596 | − | 10.3547i | 0.840927 | − | 0.449777i | ||||
\(531\) | −4.20411 | + | 5.78646i | −0.182443 | + | 0.251111i | ||||
\(532\) | 27.9141 | + | 19.1304i | 1.21023 | + | 0.829408i | ||||
\(533\) | −0.109480 | − | 0.691230i | −0.00474211 | − | 0.0299405i | ||||
\(534\) | −18.9530 | − | 89.1667i | −0.820175 | − | 3.85862i | ||||
\(535\) | −2.61787 | + | 3.02648i | −0.113181 | + | 0.130846i | ||||
\(536\) | 36.1414 | + | 7.68209i | 1.56107 | + | 0.331816i | ||||
\(537\) | 11.0023 | + | 7.14495i | 0.474782 | + | 0.308327i | ||||
\(538\) | 7.94707 | + | 15.5970i | 0.342622 | + | 0.672434i | ||||
\(539\) | −3.77072 | − | 23.4057i | −0.162417 | − | 1.00816i | ||||
\(540\) | 55.2343 | + | 58.9411i | 2.37690 | + | 2.53642i | ||||
\(541\) | 1.83101 | − | 0.389192i | 0.0787211 | − | 0.0167327i | −0.168383 | − | 0.985722i | \(-0.553854\pi\) |
0.247104 | + | 0.968989i | \(0.420521\pi\) | |||||||
\(542\) | −39.6354 | − | 15.2146i | −1.70249 | − | 0.653524i | ||||
\(543\) | −71.8935 | + | 19.2638i | −3.08525 | + | 0.826689i | ||||
\(544\) | 0.0442345 | − | 0.420863i | 0.00189654 | − | 0.0180443i | ||||
\(545\) | 1.52801 | + | 5.27991i | 0.0654528 | + | 0.226167i | ||||
\(546\) | −9.03608 | + | 9.54735i | −0.386709 | + | 0.408589i | ||||
\(547\) | −1.28862 | + | 8.13603i | −0.0550974 | + | 0.347871i | 0.944704 | + | 0.327925i | \(0.106349\pi\) |
−0.999801 | + | 0.0199460i | \(0.993651\pi\) | |||||||
\(548\) | −53.7855 | + | 2.81878i | −2.29760 | + | 0.120412i | ||||
\(549\) | −17.5692 | + | 30.4308i | −0.749837 | + | 1.29876i | ||||
\(550\) | −36.2252 | + | 20.3129i | −1.54465 | + | 0.866143i | ||||
\(551\) | 25.3899 | − | 14.6588i | 1.08164 | − | 0.624488i | ||||
\(552\) | −35.7936 | + | 70.2490i | −1.52348 | + | 2.98999i | ||||
\(553\) | 5.50679 | + | 8.95960i | 0.234173 | + | 0.381001i | ||||
\(554\) | 20.3901 | + | 28.0646i | 0.866294 | + | 1.19235i | ||||
\(555\) | 1.53283 | − | 11.1041i | 0.0650648 | − | 0.471344i | ||||
\(556\) | −16.2922 | − | 36.5928i | −0.690942 | − | 1.55188i | ||||
\(557\) | −0.506336 | − | 1.88967i | −0.0214541 | − | 0.0800679i | 0.954369 | − | 0.298631i | \(-0.0965298\pi\) |
−0.975823 | + | 0.218563i | \(0.929863\pi\) | |||||||
\(558\) | −51.1822 | − | 63.2047i | −2.16671 | − | 2.67567i | ||||
\(559\) | −1.17438 | + | 3.61436i | −0.0496709 | + | 0.152871i | ||||
\(560\) | −16.1048 | − | 18.0652i | −0.680552 | − | 0.763394i | ||||
\(561\) | −8.93690 | − | 27.5049i | −0.377316 | − | 1.16126i | ||||
\(562\) | 13.7621 | − | 21.1918i | 0.580519 | − | 0.893921i | ||||
\(563\) | −33.0391 | − | 1.73151i | −1.39243 | − | 0.0729743i | −0.658697 | − | 0.752409i | \(-0.728892\pi\) |
−0.733736 | + | 0.679434i | \(0.762225\pi\) | |||||||
\(564\) | 6.89739 | − | 32.4497i | 0.290433 | − | 1.36638i | ||||
\(565\) | 0.0828800 | + | 4.16314i | 0.00348679 | + | 0.175145i | ||||
\(566\) | −6.87462 | − | 2.23370i | −0.288962 | − | 0.0938894i | ||||
\(567\) | −4.30481 | + | 23.3997i | −0.180785 | + | 0.982695i | ||||
\(568\) | 34.3898 | + | 34.3898i | 1.44296 | + | 1.44296i | ||||
\(569\) | 22.9184 | + | 2.40883i | 0.960791 | + | 0.100983i | 0.571920 | − | 0.820309i | \(-0.306199\pi\) |
0.388871 | + | 0.921292i | \(0.372865\pi\) | |||||||
\(570\) | 48.5436 | − | 19.7515i | 2.03327 | − | 0.827298i | ||||
\(571\) | 1.93329 | + | 18.3940i | 0.0809057 | + | 0.769766i | 0.957480 | + | 0.288500i | \(0.0931565\pi\) |
−0.876574 | + | 0.481267i | \(0.840177\pi\) | |||||||
\(572\) | −3.29091 | − | 8.57313i | −0.137600 | − | 0.358460i | ||||
\(573\) | −41.7540 | − | 21.2747i | −1.74430 | − | 0.888764i | ||||
\(574\) | 4.37408 | + | 5.10767i | 0.182571 | + | 0.213190i | ||||
\(575\) | 17.5425 | + | 19.9816i | 0.731572 | + | 0.833289i | ||||
\(576\) | 23.4478 | + | 40.6129i | 0.976993 | + | 1.69220i | ||||
\(577\) | 14.6287 | + | 22.5262i | 0.609000 | + | 0.937779i | 0.999850 | + | 0.0173239i | \(0.00551464\pi\) |
−0.390849 | + | 0.920455i | \(0.627819\pi\) | |||||||
\(578\) | −13.7326 | + | 16.9583i | −0.571200 | + | 0.705373i | ||||
\(579\) | −56.0497 | − | 24.9549i | −2.32935 | − | 1.03709i | ||||
\(580\) | −79.3699 | + | 22.9697i | −3.29566 | + | 0.953766i | ||||
\(581\) | 9.05824 | − | 19.0560i | 0.375799 | − | 0.790574i | ||||
\(582\) | 88.2886 | − | 88.2886i | 3.65968 | − | 3.65968i | ||||
\(583\) | −10.5369 | + | 8.53263i | −0.436394 | + | 0.353385i | ||||
\(584\) | 17.0932 | + | 18.9839i | 0.707321 | + | 0.785559i | ||||
\(585\) | 2.05947 | + | 8.82180i | 0.0851487 | + | 0.364737i | ||||
\(586\) | 19.0426 | + | 17.1461i | 0.786644 | + | 0.708298i | ||||
\(587\) | 0.477303 | − | 0.243198i | 0.0197004 | − | 0.0100379i | −0.444113 | − | 0.895971i | \(-0.646481\pi\) |
0.463813 | + | 0.885933i | \(0.346481\pi\) | |||||||
\(588\) | 17.3111 | − | 82.5170i | 0.713896 | − | 3.40294i | ||||
\(589\) | −16.7467 | + | 5.44133i | −0.690036 | + | 0.224206i | ||||
\(590\) | −2.14384 | − | 6.17691i | −0.0882604 | − | 0.254299i | ||||
\(591\) | 30.3910 | − | 27.3642i | 1.25012 | − | 1.12561i | ||||
\(592\) | −2.44982 | + | 6.38201i | −0.100687 | + | 0.262299i | ||||
\(593\) | 16.6711 | + | 4.46701i | 0.684600 | + | 0.183438i | 0.584323 | − | 0.811521i | \(-0.301360\pi\) |
0.100277 | + | 0.994960i | \(0.468027\pi\) | |||||||
\(594\) | −60.4605 | − | 43.9272i | −2.48073 | − | 1.80235i | ||||
\(595\) | −2.55204 | − | 16.6458i | −0.104624 | − | 0.682410i | ||||
\(596\) | −75.2712 | + | 54.6877i | −3.08323 | + | 2.24010i | ||||
\(597\) | 61.1465 | − | 23.4720i | 2.50256 | − | 0.960643i | ||||
\(598\) | −7.38680 | + | 4.79704i | −0.302069 | + | 0.196166i | ||||
\(599\) | 8.98779 | + | 5.18910i | 0.367231 | + | 0.212021i | 0.672248 | − | 0.740326i | \(-0.265329\pi\) |
−0.305017 | + | 0.952347i | \(0.598662\pi\) | |||||||
\(600\) | −73.3562 | + | 10.6767i | −2.99476 | + | 0.435873i | ||||
\(601\) | − | 15.2610i | − | 0.622508i | −0.950327 | − | 0.311254i | \(-0.899251\pi\) | ||
0.950327 | − | 0.311254i | \(-0.100749\pi\) | |||||||
\(602\) | −8.57172 | − | 35.4965i | −0.349357 | − | 1.44673i | ||||
\(603\) | 44.2991 | + | 7.01629i | 1.80400 | + | 0.285726i | ||||
\(604\) | 14.3594 | − | 32.2518i | 0.584277 | − | 1.31231i | ||||
\(605\) | 0.803992 | − | 0.677996i | 0.0326869 | − | 0.0275644i | ||||
\(606\) | −14.6191 | + | 6.50883i | −0.593859 | + | 0.264403i | ||||
\(607\) | −2.31963 | + | 8.65699i | −0.0941510 | + | 0.351376i | −0.996889 | − | 0.0788137i | \(-0.974887\pi\) |
0.902738 | + | 0.430190i | \(0.141553\pi\) | |||||||
\(608\) | −0.467758 | + | 0.0740856i | −0.0189701 | + | 0.00300457i | ||||
\(609\) | −58.0094 | − | 44.3901i | −2.35066 | − | 1.79878i | ||||
\(610\) | −13.6465 | − | 29.0787i | −0.552531 | − | 1.17736i | ||||
\(611\) | 1.24458 | − | 1.38225i | 0.0503503 | − | 0.0559197i | ||||
\(612\) | 3.58842 | − | 68.4711i | 0.145053 | − | 2.76778i | ||||
\(613\) | −0.865859 | + | 16.5216i | −0.0349717 | + | 0.667300i | 0.923757 | + | 0.382979i | \(0.125102\pi\) |
−0.958729 | + | 0.284322i | \(0.908232\pi\) | |||||||
\(614\) | 44.8028 | − | 49.7586i | 1.80809 | − | 2.00809i | ||||
\(615\) | 6.89770 | − | 0.864105i | 0.278142 | − | 0.0348441i | ||||
\(616\) | 35.1692 | + | 26.9123i | 1.41701 | + | 1.08433i | ||||
\(617\) | −20.5016 | + | 3.24713i | −0.825362 | + | 0.130725i | −0.554806 | − | 0.831980i | \(-0.687208\pi\) |
−0.270556 | + | 0.962704i | \(0.587208\pi\) | |||||||
\(618\) | 4.70433 | − | 17.5568i | 0.189236 | − | 0.706238i | ||||
\(619\) | 40.5114 | − | 18.0368i | 1.62829 | − | 0.724962i | 0.629641 | − | 0.776886i | \(-0.283202\pi\) |
0.998651 | + | 0.0519243i | \(0.0165354\pi\) | |||||||
\(620\) | 49.4971 | − | 3.58316i | 1.98785 | − | 0.143903i | ||||
\(621\) | −19.4607 | + | 43.7094i | −0.780931 | + | 1.75400i | ||||
\(622\) | 3.16706 | + | 0.501613i | 0.126988 | + | 0.0201128i | ||||
\(623\) | 7.69484 | + | 31.8652i | 0.308287 | + | 1.27665i | ||||
\(624\) | − | 8.28732i | − | 0.331758i | ||||||
\(625\) | −5.80983 | + | 24.3155i | −0.232393 | + | 0.972622i | ||||
\(626\) | 29.8231 | + | 17.2184i | 1.19197 | + | 0.688185i | ||||
\(627\) | −27.1438 | + | 17.6274i | −1.08402 | + | 0.703970i | ||||
\(628\) | −49.5382 | + | 19.0159i | −1.97679 | + | 0.758818i | ||||
\(629\) | −3.84830 | + | 2.79595i | −0.153442 | + | 0.111482i | ||||
\(630\) | −61.2453 | − | 61.8545i | −2.44007 | − | 2.46434i | ||||
\(631\) | 39.2726 | + | 28.5332i | 1.56342 | + | 1.13589i | 0.933136 | + | 0.359523i | \(0.117060\pi\) |
0.630281 | + | 0.776367i | \(0.282940\pi\) | |||||||
\(632\) | −18.9753 | − | 5.08441i | −0.754796 | − | 0.202247i | ||||
\(633\) | 9.43049 | − | 24.5673i | 0.374828 | − | 0.976462i | ||||
\(634\) | 53.1251 | − | 47.8340i | 2.10987 | − | 1.89973i | ||||
\(635\) | −20.9849 | + | 15.8941i | −0.832762 | + | 0.630738i | ||||
\(636\) | −45.8592 | + | 14.9006i | −1.81844 | + | 0.590846i | ||||
\(637\) | 3.15377 | − | 3.52134i | 0.124957 | − | 0.139521i | ||||
\(638\) | 68.1130 | − | 34.7053i | 2.69662 | − | 1.37400i | ||||
\(639\) | 43.8725 | + | 39.5030i | 1.73557 | + | 1.56271i | ||||
\(640\) | −43.3777 | − | 3.68790i | −1.71465 | − | 0.145777i | ||||
\(641\) | −17.0972 | − | 18.9883i | −0.675297 | − | 0.749994i | 0.303944 | − | 0.952690i | \(-0.401696\pi\) |
−0.979242 | + | 0.202696i | \(0.935030\pi\) | |||||||
\(642\) | 10.2323 | − | 8.28597i | 0.403838 | − | 0.327021i | ||||
\(643\) | 8.37217 | − | 8.37217i | 0.330166 | − | 0.330166i | −0.522483 | − | 0.852650i | \(-0.674994\pi\) |
0.852650 | + | 0.522483i | \(0.174994\pi\) | |||||||
\(644\) | 24.2527 | − | 51.0208i | 0.955692 | − | 2.01050i | ||||
\(645\) | −35.5043 | − | 12.8240i | −1.39798 | − | 0.504944i | ||||
\(646\) | −20.3168 | − | 9.04563i | −0.799355 | − | 0.355896i | ||||
\(647\) | −14.7539 | + | 18.2196i | −0.580038 | + | 0.716287i | −0.979721 | − | 0.200366i | \(-0.935787\pi\) |
0.399683 | + | 0.916653i | \(0.369120\pi\) | |||||||
\(648\) | −24.2055 | − | 37.2733i | −0.950883 | − | 1.46423i | ||||
\(649\) | 2.01893 | + | 3.49689i | 0.0792499 | + | 0.137265i | ||||
\(650\) | −7.69334 | − | 3.06451i | −0.301758 | − | 0.120200i | ||||
\(651\) | 28.5365 | + | 33.3225i | 1.11844 | + | 1.30601i | ||||
\(652\) | 42.8675 | + | 21.8421i | 1.67882 | + | 0.855403i | ||||
\(653\) | −6.61869 | − | 17.2423i | −0.259009 | − | 0.674743i | −0.999995 | − | 0.00322157i | \(-0.998975\pi\) |
0.740985 | − | 0.671521i | \(-0.234359\pi\) | |||||||
\(654\) | −1.89045 | − | 17.9864i | −0.0739223 | − | 0.703324i | ||||
\(655\) | −16.1816 | + | 26.0378i | −0.632266 | + | 1.01738i | ||||
\(656\) | −4.21622 | − | 0.443142i | −0.164616 | − | 0.0173018i | ||||
\(657\) | 21.9266 | + | 21.9266i | 0.855439 | + | 0.855439i | ||||
\(658\) | −3.23366 | + | 17.5773i | −0.126061 | + | 0.685233i | ||||
\(659\) | 41.0738 | + | 13.3457i | 1.60001 | + | 0.519875i | 0.967110 | − | 0.254359i | \(-0.0818646\pi\) |
0.632899 | + | 0.774234i | \(0.281865\pi\) | |||||||
\(660\) | 86.1733 | − | 29.9084i | 3.35429 | − | 1.16418i | ||||
\(661\) | −0.780289 | + | 3.67097i | −0.0303497 | + | 0.142784i | −0.990714 | − | 0.135965i | \(-0.956587\pi\) |
0.960364 | + | 0.278749i | \(0.0899198\pi\) | |||||||
\(662\) | −20.6655 | − | 1.08303i | −0.803187 | − | 0.0420932i | ||||
\(663\) | 3.14071 | − | 4.83627i | 0.121975 | − | 0.187825i | ||||
\(664\) | 12.1792 | + | 37.4837i | 0.472645 | + | 1.45465i | ||||
\(665\) | −17.2546 | + | 7.58013i | −0.669104 | + | 0.293945i | ||||
\(666\) | −7.59788 | + | 23.3839i | −0.294412 | + | 0.906107i | ||||
\(667\) | −30.8001 | − | 38.0349i | −1.19258 | − | 1.47272i | ||||
\(668\) | −23.5595 | − | 87.9254i | −0.911546 | − | 3.40194i | ||||
\(669\) | 10.9210 | + | 24.5291i | 0.422232 | + | 0.948348i | ||||
\(670\) | −28.4089 | + | 29.5630i | −1.09753 | + | 1.14212i | ||||
\(671\) | 11.6600 | + | 16.0486i | 0.450128 | + | 0.619548i | ||||
\(672\) | 0.617853 | + | 1.00525i | 0.0238342 | + | 0.0387784i | ||||
\(673\) | 13.3247 | − | 26.1511i | 0.513628 | − | 1.00805i | −0.477931 | − | 0.878397i | \(-0.658613\pi\) |
0.991559 | − | 0.129654i | \(-0.0413868\pi\) | |||||||
\(674\) | −46.9545 | + | 27.1092i | −1.80862 | + | 1.04421i | ||||
\(675\) | −44.1166 | + | 8.80015i | −1.69805 | + | 0.338718i | ||||
\(676\) | −25.1826 | + | 43.6175i | −0.968562 | + | 1.67760i | ||||
\(677\) | 9.67944 | − | 0.507278i | 0.372011 | − | 0.0194963i | 0.134585 | − | 0.990902i | \(-0.457030\pi\) |
0.237426 | + | 0.971406i | \(0.423696\pi\) | |||||||
\(678\) | 2.14327 | − | 13.5321i | 0.0823120 | − | 0.519697i | ||||
\(679\) | −30.8639 | + | 32.6102i | −1.18445 | + | 1.25146i | ||||
\(680\) | 24.8358 | + | 19.3060i | 0.952411 | + | 0.740351i | ||||
\(681\) | 5.28116 | − | 50.2469i | 0.202374 | − | 1.92546i | ||||
\(682\) | −44.3493 | + | 11.8834i | −1.69822 | + | 0.455037i | ||||
\(683\) | −21.9187 | − | 8.41379i | −0.838694 | − | 0.321945i | −0.0991667 | − | 0.995071i | \(-0.531618\pi\) |
−0.739528 | + | 0.673126i | \(0.764951\pi\) | |||||||
\(684\) | −75.0555 | + | 15.9535i | −2.86982 | + | 0.609999i | ||||
\(685\) | 14.4775 | − | 26.2698i | 0.553158 | − | 1.00372i | ||||
\(686\) | −8.09991 | + | 44.6942i | −0.309256 | + | 1.70643i | ||||
\(687\) | 0.0871006 | + | 0.170944i | 0.00332309 | + | 0.00652194i | ||||
\(688\) | 19.3074 | + | 12.5383i | 0.736086 | + | 0.478020i | ||||
\(689\) | −2.64442 | − | 0.562089i | −0.100744 | − | 0.0214139i | ||||
\(690\) | −45.2434 | − | 74.8811i | −1.72239 | − | 2.85067i | ||||
\(691\) | 6.20027 | + | 29.1700i | 0.235869 | + | 1.10968i | 0.923494 | + | 0.383612i | \(0.125320\pi\) |
−0.687625 | + | 0.726066i | \(0.741347\pi\) | |||||||
\(692\) | −2.64737 | − | 16.7149i | −0.100638 | − | 0.635404i | ||||
\(693\) | 44.3423 | + | 30.3892i | 1.68442 | + | 1.15439i | ||||
\(694\) | 26.5659 | − | 36.5649i | 1.00843 | − | 1.38798i | ||||
\(695\) | 22.0981 | + | 3.05045i | 0.838230 | + | 0.115710i | ||||
\(696\) | 135.698 | − | 14.2624i | 5.14362 | − | 0.540616i | ||||
\(697\) | −2.29254 | − | 1.85646i | −0.0868360 | − | 0.0703184i | ||||
\(698\) | −3.92303 | − | 74.8559i | −0.148489 | − | 2.83334i | ||||
\(699\) | −55.6920 | −2.10646 | ||||||||
\(700\) | 52.3307 | − | 9.09263i | 1.97791 | − | 0.343669i | ||||
\(701\) | −51.6850 | −1.95212 | −0.976058 | − | 0.217508i | \(-0.930207\pi\) | ||||
−0.976058 | + | 0.217508i | \(0.930207\pi\) | |||||||
\(702\) | −0.779884 | − | 14.8811i | −0.0294348 | − | 0.561650i | ||||
\(703\) | 4.13703 | + | 3.35010i | 0.156031 | + | 0.126351i | ||||
\(704\) | 26.3295 | − | 2.76734i | 0.992331 | − | 0.104298i | ||||
\(705\) | 13.3216 | + | 12.8015i | 0.501719 | + | 0.482132i | ||||
\(706\) | −36.4388 | + | 50.1537i | −1.37139 | + | 1.88756i | ||||
\(707\) | 5.19074 | − | 2.48430i | 0.195218 | − | 0.0934319i | ||||
\(708\) | 2.24643 | + | 14.1834i | 0.0844260 | + | 0.533045i | ||||
\(709\) | 1.56789 | + | 7.37635i | 0.0588834 | + | 0.277025i | 0.997732 | − | 0.0673043i | \(-0.0214398\pi\) |
−0.938849 | + | 0.344329i | \(0.888106\pi\) | |||||||
\(710\) | −52.5545 | + | 12.2690i | −1.97233 | + | 0.460446i | ||||
\(711\) | −23.3251 | − | 4.95790i | −0.874760 | − | 0.185936i | ||||
\(712\) | −51.3551 | − | 33.3504i | −1.92462 | − | 1.24986i | ||||
\(713\) | 13.3451 | + | 26.1911i | 0.499776 | + | 0.980866i | ||||
\(714\) | −1.37705 | + | 55.3927i | −0.0515349 | + | 2.07302i | ||||
\(715\) | 5.02260 | + | 0.963519i | 0.187835 | + | 0.0360336i | ||||
\(716\) | 17.1747 | − | 3.65059i | 0.641849 | − | 0.136429i | ||||
\(717\) | 18.3774 | + | 7.05444i | 0.686318 | + | 0.263453i | ||||
\(718\) | 83.3281 | − | 22.3277i | 3.10978 | − | 0.833262i | ||||
\(719\) | 1.32961 | − | 12.6504i | 0.0495861 | − | 0.471780i | −0.941349 | − | 0.337436i | \(-0.890440\pi\) |
0.990935 | − | 0.134345i | \(-0.0428929\pi\) | |||||||
\(720\) | 54.8476 | + | 1.78068i | 2.04405 | + | 0.0663619i | ||||
\(721\) | −1.51743 | + | 6.35766i | −0.0565121 | + | 0.236772i | ||||
\(722\) | 3.39623 | − | 21.4429i | 0.126394 | − | 0.798023i | ||||
\(723\) | −13.2170 | + | 0.692675i | −0.491547 | + | 0.0257609i | ||||
\(724\) | −49.8093 | + | 86.2722i | −1.85115 | + | 3.20628i | ||||
\(725\) | 12.4667 | − | 44.2952i | 0.463001 | − | 1.64508i | ||||
\(726\) | −2.99683 | + | 1.73022i | −0.111223 | + | 0.0642145i | ||||
\(727\) | −2.99184 | + | 5.87181i | −0.110961 | + | 0.217774i | −0.939809 | − | 0.341701i | \(-0.888997\pi\) |
0.828848 | + | 0.559474i | \(0.188997\pi\) | |||||||
\(728\) | 0.242845 | + | 8.82684i | 0.00900044 | + | 0.327145i | ||||
\(729\) | 15.8831 | + | 21.8612i | 0.588264 | + | 0.809676i | ||||
\(730\) | −27.9038 | + | 4.99077i | −1.03277 | + | 0.184717i | ||||
\(731\) | 6.51553 | + | 14.6341i | 0.240986 | + | 0.541263i | ||||
\(732\) | 18.2593 | + | 68.1447i | 0.674884 | + | 2.51870i | ||||
\(733\) | 25.1012 | + | 30.9974i | 0.927135 | + | 1.14492i | 0.989160 | + | 0.146841i | \(0.0469107\pi\) |
−0.0620254 | + | 0.998075i | \(0.519756\pi\) | |||||||
\(734\) | −1.74352 | + | 5.36599i | −0.0643544 | + | 0.198062i | ||||
\(735\) | 33.9428 | + | 32.4451i | 1.25200 | + | 1.19676i | ||||
\(736\) | 0.244306 | + | 0.751896i | 0.00900524 | + | 0.0277153i | ||||
\(737\) | 13.7905 | − | 21.2355i | 0.507979 | − | 0.782220i | ||||
\(738\) | −15.2271 | − | 0.798019i | −0.560517 | − | 0.0293755i | ||||
\(739\) | −6.76642 | + | 31.8335i | −0.248907 | + | 1.17101i | 0.659099 | + | 0.752057i | \(0.270938\pi\) |
−0.908005 | + | 0.418958i | \(0.862395\pi\) | |||||||
\(740\) | −9.05837 | − | 11.9597i | −0.332992 | − | 0.439649i | ||||
\(741\) | −6.13763 | − | 1.99424i | −0.225472 | − | 0.0732602i | ||||
\(742\) | 24.4757 | − | 8.70383i | 0.898532 | − | 0.319528i | ||||
\(743\) | −30.1810 | − | 30.1810i | −1.10723 | − | 1.10723i | −0.993513 | − | 0.113722i | \(-0.963723\pi\) |
−0.113722 | − | 0.993513i | \(-0.536277\pi\) | |||||||
\(744\) | −81.5017 | − | 8.56617i | −2.98800 | − | 0.314051i | ||||
\(745\) | −3.74120 | − | 51.6803i | −0.137067 | − | 1.89342i | ||||
\(746\) | 3.35342 | + | 31.9057i | 0.122778 | + | 1.16815i | ||||
\(747\) | 17.1451 | + | 44.6646i | 0.627308 | + | 1.63419i | ||||
\(748\) | −34.4889 | − | 17.5730i | −1.26104 | − | 0.642532i | ||||
\(749\) | −3.59626 | + | 3.07975i | −0.131405 | + | 0.112532i | ||||
\(750\) | 32.9036 | − | 75.3905i | 1.20147 | − | 2.75287i | ||||
\(751\) | −3.97735 | − | 6.88897i | −0.145136 | − | 0.251382i | 0.784288 | − | 0.620397i | \(-0.213028\pi\) |
−0.929424 | + | 0.369015i | \(0.879695\pi\) | |||||||
\(752\) | −6.13658 | − | 9.44951i | −0.223778 | − | 0.344588i | ||||
\(753\) | −8.80957 | + | 10.8789i | −0.321038 | + | 0.396449i | ||||
\(754\) | 13.9250 | + | 6.19980i | 0.507118 | + | 0.225783i | ||||
\(755\) | 11.0344 | + | 16.2730i | 0.401583 | + | 0.592234i | ||||
\(756\) | 54.2393 | + | 78.6951i | 1.97267 | + | 2.86211i | ||||
\(757\) | −13.7537 | + | 13.7537i | −0.499888 | + | 0.499888i | −0.911403 | − | 0.411515i | \(-0.865000\pi\) |
0.411515 | + | 0.911403i | \(0.365000\pi\) | |||||||
\(758\) | −36.3182 | + | 29.4099i | −1.31914 | + | 1.06822i | ||||
\(759\) | 36.1527 | + | 40.1516i | 1.31226 | + | 1.45741i | ||||
\(760\) | 13.6758 | − | 32.4391i | 0.496073 | − | 1.17669i | ||||
\(761\) | −27.0346 | − | 24.3421i | −0.980005 | − | 0.882400i | 0.0130662 | − | 0.999915i | \(-0.495841\pi\) |
−0.993071 | + | 0.117514i | \(0.962507\pi\) | |||||||
\(762\) | 77.1760 | − | 39.3231i | 2.79579 | − | 1.42453i | ||||
\(763\) | 0.857439 | + | 6.44686i | 0.0310414 | + | 0.233392i | ||||
\(764\) | −59.6510 | + | 19.3818i | −2.15810 | + | 0.701208i | ||||
\(765\) | 31.3329 | + | 21.8252i | 1.13284 | + | 0.789092i | ||||
\(766\) | 37.4365 | − | 33.7080i | 1.35264 | − | 1.21792i | ||||
\(767\) | −0.288533 | + | 0.751654i | −0.0104183 | + | 0.0271407i | ||||
\(768\) | 93.0587 | + | 24.9350i | 3.35797 | + | 0.899764i | ||||
\(769\) | −22.4668 | − | 16.3231i | −0.810173 | − | 0.588625i | 0.103708 | − | 0.994608i | \(-0.466929\pi\) |
−0.913881 | + | 0.405983i | \(0.866929\pi\) | |||||||
\(770\) | −45.9636 | + | 17.3833i | −1.65641 | + | 0.626449i | ||||
\(771\) | 17.5942 | − | 12.7830i | 0.633641 | − | 0.460367i | ||||
\(772\) | −76.6637 | + | 29.4284i | −2.75919 | + | 1.05915i | ||||
\(773\) | 27.2366 | − | 17.6877i | 0.979633 | − | 0.636181i | 0.0477191 | − | 0.998861i | \(-0.484805\pi\) |
0.931914 | + | 0.362680i | \(0.118138\pi\) | |||||||
\(774\) | 71.7078 | + | 41.4005i | 2.57748 | + | 1.48811i | ||||
\(775\) | −12.8553 | + | 24.4661i | −0.461777 | + | 0.878847i | ||||
\(776\) | − | 83.8714i | − | 3.01081i | ||||||
\(777\) | 3.75009 | − | 12.7220i | 0.134534 | − | 0.456398i | ||||
\(778\) | −94.8940 | − | 15.0297i | −3.40211 | − | 0.538842i | ||||
\(779\) | −1.34277 | + | 3.01591i | −0.0481098 | + | 0.108056i | ||||
\(780\) | 15.4479 | + | 9.60034i | 0.553124 | + | 0.343747i | ||||
\(781\) | 30.4470 | − | 13.5559i | 1.08948 | − | 0.485068i | ||||
\(782\) | −9.60887 | + | 35.8608i | −0.343612 | + | 1.28238i | ||||
\(783\) | 81.7833 | − | 12.9532i | 2.92270 | − | 0.462910i | ||||
\(784\) | −15.6597 | − | 23.9745i | −0.559275 | − | 0.856231i | ||||
\(785\) | 5.56752 | − | 29.0222i | 0.198713 | − | 1.03585i | ||||
\(786\) | 67.4945 | − | 74.9603i | 2.40745 | − | 2.67374i | ||||
\(787\) | 0.953698 | − | 18.1976i | 0.0339957 | − | 0.648676i | −0.927495 | − | 0.373837i | \(-0.878042\pi\) |
0.961490 | − | 0.274839i | \(-0.0886246\pi\) | |||||||
\(788\) | 2.86462 | − | 54.6602i | 0.102048 | − | 1.94719i | ||||
\(789\) | 22.4829 | − | 24.9698i | 0.800414 | − | 0.888950i | ||||
\(790\) | 15.9062 | − | 14.9058i | 0.565915 | − | 0.530325i | ||||
\(791\) | −0.636612 | + | 4.88557i | −0.0226353 | + | 0.173711i | ||||
\(792\) | −99.1785 | + | 15.7083i | −3.52416 | + | 0.558171i | ||||
\(793\) | −1.02374 | + | 3.82066i | −0.0363541 | + | 0.135675i | ||||
\(794\) | 33.9236 | − | 15.1038i | 1.20390 | − | 0.536012i | ||||
\(795\) | 6.43267 | − | 26.0722i | 0.228143 | − | 0.924686i | ||||
\(796\) | 35.6556 | − | 80.0838i | 1.26378 | − | 2.83849i | ||||
\(797\) | −14.1304 | − | 2.23804i | −0.500525 | − | 0.0792753i | −0.0989330 | − | 0.995094i | \(-0.531543\pi\) |
−0.401592 | + | 0.915819i | \(0.631543\pi\) | |||||||
\(798\) | 60.2774 | − | 14.5558i | 2.13380 | − | 0.515271i | ||||
\(799\) | − | 7.84013i | − | 0.277364i | ||||||
\(800\) | −0.444430 | + | 0.595836i | −0.0157130 | + | 0.0210660i | ||||
\(801\) | −64.3722 | − | 37.1653i | −2.27448 | − | 1.31317i | ||||
\(802\) | 47.2312 | − | 30.6723i | 1.66779 | − | 1.08308i | ||||
\(803\) | 16.3431 | − | 6.27353i | 0.576735 | − | 0.221388i | ||||
\(804\) | 72.8515 | − | 52.9297i | 2.56927 | − | 1.86669i | ||||
\(805\) | 17.0042 | + | 26.4700i | 0.599318 | + | 0.932945i | ||||
\(806\) | −7.40654 | − | 5.38117i | −0.260884 | − | 0.189544i | ||||
\(807\) | 20.6816 | + | 5.54162i | 0.728027 | + | 0.195074i | ||||
\(808\) | −3.85224 | + | 10.0354i | −0.135521 | + | 0.353045i | ||||
\(809\) | 0.231313 | − | 0.208275i | 0.00813253 | − | 0.00732256i | −0.665054 | − | 0.746795i | \(-0.731592\pi\) |
0.673187 | + | 0.739472i | \(0.264925\pi\) | |||||||
\(810\) | 49.3070 | − | 0.981606i | 1.73247 | − | 0.0344901i | ||||
\(811\) | −3.46924 | + | 1.12722i | −0.121822 | + | 0.0395822i | −0.369293 | − | 0.929313i | \(-0.620400\pi\) |
0.247472 | + | 0.968895i | \(0.420400\pi\) | |||||||
\(812\) | −96.9120 | + | 12.8894i | −3.40094 | + | 0.452329i | ||||
\(813\) | −46.2693 | + | 23.5754i | −1.62274 | + | 0.826825i | ||||
\(814\) | 10.3152 | + | 9.28788i | 0.361549 | + | 0.325540i | ||||
\(815\) | −22.9330 | + | 13.8562i | −0.803307 | + | 0.485361i | ||||
\(816\) | −23.3742 | − | 25.9597i | −0.818260 | − | 0.908770i | ||||
\(817\) | 13.9320 | − | 11.2819i | 0.487420 | − | 0.394705i | ||||
\(818\) | −39.7338 | + | 39.7338i | −1.38926 | + | 1.38926i | ||||
\(819\) | 0.855145 | + | 10.6846i | 0.0298812 | + | 0.373350i | ||||
\(820\) | 5.71026 | − | 7.34585i | 0.199411 | − | 0.256528i | ||||
\(821\) | −26.2728 | − | 11.6974i | −0.916928 | − | 0.408243i | −0.106655 | − | 0.994296i | \(-0.534014\pi\) |
−0.810272 | + | 0.586054i | \(0.800681\pi\) | |||||||
\(822\) | −62.1097 | + | 76.6991i | −2.16632 | + | 2.67519i | ||||
\(823\) | 13.9301 | + | 21.4505i | 0.485574 | + | 0.747719i | 0.993518 | − | 0.113671i | \(-0.0362610\pi\) |
−0.507944 | + | 0.861390i | \(0.669594\pi\) | |||||||
\(824\) | −6.10473 | − | 10.5737i | −0.212668 | − | 0.368352i | ||||
\(825\) | −11.1845 | + | 49.5530i | −0.389395 | + | 1.72521i | ||||
\(826\) | −1.41991 | − | 7.60488i | −0.0494049 | − | 0.264608i | ||||
\(827\) | −19.3175 | − | 9.84275i | −0.671735 | − | 0.342266i | 0.0846335 | − | 0.996412i | \(-0.473028\pi\) |
−0.756368 | + | 0.654146i | \(0.773028\pi\) | |||||||
\(828\) | 45.9048 | + | 119.586i | 1.59530 | + | 4.15590i | ||||
\(829\) | 2.15065 | + | 20.4621i | 0.0746952 | + | 0.710678i | 0.966222 | + | 0.257710i | \(0.0829680\pi\) |
−0.891527 | + | 0.452967i | \(0.850365\pi\) | |||||||
\(830\) | −42.4614 | − | 10.4763i | −1.47386 | − | 0.363637i | ||||
\(831\) | 42.1984 | + | 4.43523i | 1.46385 | + | 0.153856i | ||||
\(832\) | 3.73275 | + | 3.73275i | 0.129410 | + | 0.129410i | ||||
\(833\) | −0.0528130 | − | 19.9256i | −0.00182986 | − | 0.690381i | ||||
\(834\) | −69.8070 | − | 22.6817i | −2.41722 | − | 0.785402i | ||||
\(835\) | 48.5154 | + | 14.7027i | 1.67895 | + | 0.508807i | ||||
\(836\) | −9.00643 | + | 42.3719i | −0.311494 | + | 1.46546i | ||||
\(837\) | −49.6641 | − | 2.60279i | −1.71664 | − | 0.0899654i | ||||
\(838\) | −41.4079 | + | 63.7626i | −1.43041 | + | 2.20264i | ||||
\(839\) | −10.5057 | − | 32.3333i | −0.362698 | − | 1.11627i | −0.951410 | − | 0.307926i | \(-0.900365\pi\) |
0.588713 | − | 0.808342i | \(-0.299635\pi\) | |||||||
\(840\) | −87.7097 | − | 0.434104i | −3.02627 | − | 0.0149780i | ||||
\(841\) | −17.2120 | + | 52.9732i | −0.593518 | + | 1.82666i | ||||
\(842\) | 35.6814 | + | 44.0629i | 1.22966 | + | 1.51851i | ||||
\(843\) | −7.99931 | − | 29.8538i | −0.275511 | − | 1.02822i | ||||
\(844\) | −14.3256 | − | 32.1758i | −0.493108 | − | 1.10754i | ||||
\(845\) | −13.2290 | − | 24.7336i | −0.455090 | − | 0.850860i | ||||
\(846\) | −23.8199 | − | 32.7853i | −0.818947 | − | 1.12718i | ||||
\(847\) | 1.06016 | − | 0.651599i | 0.0364274 | − | 0.0223892i | ||||
\(848\) | −7.43497 | + | 14.5919i | −0.255318 | + | 0.501089i | ||||
\(849\) | −7.65690 | + | 4.42072i | −0.262784 | + | 0.151719i | ||||
\(850\) | −32.7424 | + | 12.0994i | −1.12306 | + | 0.415007i | ||||
\(851\) | 4.44331 | − | 7.69604i | 0.152315 | − | 0.263817i | ||||
\(852\) | 118.367 | − | 6.20333i | 4.05517 | − | 0.212522i | ||||
\(853\) | −2.16517 | + | 13.6703i | −0.0741339 | + | 0.468063i | 0.922494 | + | 0.386011i | \(0.126147\pi\) |
−0.996628 | + | 0.0820518i | \(0.973853\pi\) | |||||||
\(854\) | −10.8428 | − | 36.4273i | −0.371033 | − | 1.24652i | ||||
\(855\) | 14.5172 | − | 40.1919i | 0.496476 | − | 1.37454i | ||||
\(856\) | 0.924487 | − | 8.79591i | 0.0315983 | − | 0.300638i | ||||
\(857\) | 40.9109 | − | 10.9620i | 1.39749 | − | 0.374456i | 0.520047 | − | 0.854137i | \(-0.325914\pi\) |
0.877443 | + | 0.479681i | \(0.159248\pi\) | |||||||
\(858\) | −15.7096 | − | 6.03036i | −0.536318 | − | 0.205873i | ||||
\(859\) | −43.0244 | + | 9.14512i | −1.46797 | + | 0.312027i | −0.871417 | − | 0.490543i | \(-0.836798\pi\) |
−0.596557 | + | 0.802571i | \(0.703465\pi\) | |||||||
\(860\) | −45.7384 | + | 21.4648i | −1.55967 | + | 0.731945i | ||||
\(861\) | 8.22272 | + | 0.204415i | 0.280230 | + | 0.00696645i | ||||
\(862\) | 4.93652 | + | 9.68847i | 0.168139 | + | 0.329991i | ||||
\(863\) | 24.2255 | + | 15.7322i | 0.824646 | + | 0.535531i | 0.886594 | − | 0.462548i | \(-0.153065\pi\) |
−0.0619482 | + | 0.998079i | \(0.519731\pi\) | |||||||
\(864\) | −1.30834 | − | 0.278096i | −0.0445107 | − | 0.00946103i | ||||
\(865\) | 8.68457 | + | 3.66128i | 0.295284 | + | 0.124487i | ||||
\(866\) | 11.9834 | + | 56.3775i | 0.407212 | + | 1.91578i | ||||
\(867\) | 4.17535 | + | 26.3621i | 0.141802 | + | 0.895304i | ||||
\(868\) | 58.5440 | + | 4.52946i | 1.98711 | + | 0.153740i | ||||
\(869\) | −7.91286 | + | 10.8911i | −0.268425 | + | 0.369456i | ||||
\(870\) | −66.0389 | + | 136.247i | −2.23893 | + | 4.61919i | ||||
\(871\) | 5.02112 | − | 0.527741i | 0.170134 | − | 0.0178818i | ||||
\(872\) | −9.44119 | − | 7.64532i | −0.319719 | − | 0.258903i | ||||
\(873\) | −5.32830 | − | 101.670i | −0.180336 | − | 3.44101i | ||||
\(874\) | 41.5481 | 1.40539 | ||||||||
\(875\) | −11.0822 | + | 27.4260i | −0.374648 | + | 0.927167i | ||||
\(876\) | 62.2576 | 2.10349 | ||||||||
\(877\) | 1.44886 | + | 27.6459i | 0.0489245 | + | 0.933536i | 0.907292 | + | 0.420501i | \(0.138146\pi\) |
−0.858368 | + | 0.513035i | \(0.828521\pi\) | |||||||
\(878\) | 62.1369 | + | 50.3174i | 2.09702 | + | 1.69813i | ||||
\(879\) | 31.1708 | − | 3.27619i | 1.05137 | − | 0.110503i | ||||
\(880\) | 13.5125 | − | 27.8779i | 0.455505 | − | 0.939765i | ||||
\(881\) | −21.9771 | + | 30.2489i | −0.740427 | + | 1.01911i | 0.258167 | + | 0.966100i | \(0.416881\pi\) |
−0.998594 | + | 0.0530096i | \(0.983119\pi\) | |||||||
\(882\) | −60.7590 | − | 83.1631i | −2.04586 | − | 2.80025i | ||||
\(883\) | 1.16366 | + | 7.34708i | 0.0391604 | + | 0.247249i | 0.999501 | − | 0.0315798i | \(-0.0100538\pi\) |
−0.960341 | + | 0.278829i | \(0.910054\pi\) | |||||||
\(884\) | −1.60470 | − | 7.54950i | −0.0539718 | − | 0.253917i | ||||
\(885\) | −7.36930 | − | 3.10678i | −0.247716 | − | 0.104433i | ||||
\(886\) | 14.7652 | + | 3.13845i | 0.496048 | + | 0.105438i | ||||
\(887\) | −0.106040 | − | 0.0688632i | −0.00356047 | − | 0.00231220i | 0.542858 | − | 0.839825i | \(-0.317342\pi\) |
−0.546418 | + | 0.837513i | \(0.684009\pi\) | |||||||
\(888\) | 11.2477 | + | 22.0748i | 0.377447 | + | 0.740781i | ||||
\(889\) | −27.3535 | + | 14.8987i | −0.917407 | + | 0.499687i | ||||
\(890\) | 61.5119 | − | 28.8673i | 2.06188 | − | 0.967634i | ||||
\(891\) | −29.7907 | + | 6.33222i | −0.998027 | + | 0.212137i | ||||
\(892\) | 33.5503 | + | 12.8788i | 1.12335 | + | 0.431213i | ||||
\(893\) | −8.47504 | + | 2.27088i | −0.283606 | + | 0.0759921i | ||||
\(894\) | −17.8210 | + | 169.556i | −0.596024 | + | 5.67079i | ||||
\(895\) | −3.32191 | + | 9.19699i | −0.111039 | + | 0.307421i | ||||
\(896\) | −50.1030 | − | 11.9585i | −1.67382 | − | 0.399504i | ||||
\(897\) | −1.68530 | + | 10.6406i | −0.0562706 | + | 0.355278i | ||||
\(898\) | −28.8291 | + | 1.51087i | −0.962038 | + | 0.0504183i | ||||
\(899\) | 25.4357 | − | 44.0559i | 0.848327 | − | 1.46935i | ||||
\(900\) | −66.8568 | + | 100.176i | −2.22856 | + | 3.33918i | ||||
\(901\) | −9.86889 | + | 5.69780i | −0.328780 | + | 0.189821i | ||||
\(902\) | −3.90801 | + | 7.66990i | −0.130122 | + | 0.255380i | ||||
\(903\) | −39.2811 | − | 21.2605i | −1.30719 | − | 0.707506i | ||||
\(904\) | −5.40952 | − | 7.44556i | −0.179918 | − | 0.247636i | ||||
\(905\) | −26.1659 | − | 48.9211i | −0.869784 | − | 1.62619i | ||||
\(906\) | −26.3126 | − | 59.0991i | −0.874178 | − | 1.96344i | ||||
\(907\) | −10.7414 | − | 40.0873i | −0.356661 | − | 1.33108i | −0.878381 | − | 0.477960i | \(-0.841376\pi\) |
0.521720 | − | 0.853117i | \(-0.325290\pi\) | |||||||
\(908\) | −42.5560 | − | 52.5523i | −1.41227 | − | 1.74401i | ||||
\(909\) | −4.03220 | + | 12.4098i | −0.133739 | + | 0.411608i | ||||
\(910\) | −8.46138 | − | 4.94118i | −0.280492 | − | 0.163798i | ||||
\(911\) | 10.0535 | + | 30.9415i | 0.333087 | + | 1.02514i | 0.967656 | + | 0.252272i | \(0.0811776\pi\) |
−0.634569 | + | 0.772866i | \(0.718822\pi\) | |||||||
\(912\) | −21.2917 | + | 32.7863i | −0.705037 | + | 1.08566i | ||||
\(913\) | 26.9719 | + | 1.41354i | 0.892640 | + | 0.0467813i | ||||
\(914\) | −4.13861 | + | 19.4707i | −0.136893 | + | 0.644032i | ||||
\(915\) | −37.6009 | − | 11.3950i | −1.24305 | − | 0.376707i | ||||
\(916\) | 0.244216 | + | 0.0793507i | 0.00806914 | + | 0.00262182i | ||||
\(917\) | −23.5209 | + | 27.6134i | −0.776728 | + | 0.911875i | ||||
\(918\) | −44.4146 | − | 44.4146i | −1.46590 | − | 1.46590i | ||||
\(919\) | −25.9627 | − | 2.72879i | −0.856432 | − | 0.0900146i | −0.333873 | − | 0.942618i | \(-0.608356\pi\) |
−0.522559 | + | 0.852603i | \(0.675022\pi\) | |||||||
\(920\) | −57.0572 | − | 14.0774i | −1.88112 | − | 0.464120i | ||||
\(921\) | −8.56070 | − | 81.4496i | −0.282085 | − | 2.68386i | ||||
\(922\) | −9.85621 | − | 25.6763i | −0.324597 | − | 0.845604i | ||||
\(923\) | 5.92122 | + | 3.01701i | 0.194899 | + | 0.0993061i | ||||
\(924\) | 106.095 | − | 19.8090i | 3.49026 | − | 0.651667i | ||||
\(925\) | 8.31992 | − | 0.769032i | 0.273557 | − | 0.0252856i | ||||
\(926\) | −6.68286 | − | 11.5751i | −0.219612 | − | 0.380380i | ||||
\(927\) | −8.07198 | − | 12.4298i | −0.265118 | − | 0.408247i | ||||
\(928\) | 0.861040 | − | 1.06330i | 0.0282650 | − | 0.0349044i | ||||
\(929\) | 37.5816 | + | 16.7324i | 1.23301 | + | 0.548972i | 0.916659 | − | 0.399669i | \(-0.130875\pi\) |
0.316353 | + | 0.948642i | \(0.397542\pi\) | |||||||
\(930\) | 55.8106 | − | 71.7965i | 1.83010 | − | 2.35430i | ||||
\(931\) | −21.5239 | + | 5.82851i | −0.705418 | + | 0.191022i | ||||
\(932\) | −52.7075 | + | 52.7075i | −1.72649 | + | 1.72649i | ||||
\(933\) | 3.04803 | − | 2.46825i | 0.0997880 | − | 0.0808067i | ||||
\(934\) | 12.0992 | + | 13.4375i | 0.395899 | + | 0.439690i | ||||
\(935\) | 18.4506 | − | 11.1479i | 0.603401 | − | 0.364577i | ||||
\(936\) | −14.8794 | − | 13.3975i | −0.486349 | − | 0.437911i | ||||
\(937\) | 27.5551 | − | 14.0400i | 0.900186 | − | 0.458668i | 0.0582855 | − | 0.998300i | \(-0.481437\pi\) |
0.841901 | + | 0.539632i | \(0.181437\pi\) | |||||||
\(938\) | −38.4483 | + | 29.5835i | −1.25538 | + | 0.965935i | ||||
\(939\) | 40.0598 | − | 13.0162i | 1.30730 | − | 0.424768i | ||||
\(940\) | 24.7231 | − | 0.492189i | 0.806380 | − | 0.0160534i | ||||
\(941\) | −13.9378 | + | 12.5497i | −0.454359 | + | 0.409107i | −0.864277 | − | 0.503015i | \(-0.832224\pi\) |
0.409918 | + | 0.912122i | \(0.365557\pi\) | |||||||
\(942\) | −34.8453 | + | 90.7752i | −1.13532 | + | 2.95762i | ||||
\(943\) | 5.32333 | + | 1.42638i | 0.173351 | + | 0.0464494i | ||||
\(944\) | 3.94575 | + | 2.86676i | 0.128423 | + | 0.0933050i | ||||
\(945\) | −53.1680 | + | 2.52262i | −1.72956 | + | 0.0820608i | ||||
\(946\) | 37.8172 | − | 27.4758i | 1.22954 | − | 0.893315i | ||||
\(947\) | 52.9910 | − | 20.3413i | 1.72198 | − | 0.661005i | 0.722440 | − | 0.691434i | \(-0.243021\pi\) |
0.999537 | + | 0.0304292i | \(0.00968741\pi\) | |||||||
\(948\) | −40.1528 | + | 26.0755i | −1.30410 | + | 0.846894i | ||||
\(949\) | 3.02293 | + | 1.74529i | 0.0981286 | + | 0.0566545i | ||||
\(950\) | 22.5631 | + | 31.8894i | 0.732043 | + | 1.03463i | ||||
\(951\) | − | 87.4392i | − | 2.83541i | ||||||
\(952\) | 25.6566 | + | 26.9647i | 0.831535 | + | 0.873932i | ||||
\(953\) | 30.4878 | + | 4.82879i | 0.987595 | + | 0.156420i | 0.629278 | − | 0.777180i | \(-0.283351\pi\) |
0.358317 | + | 0.933600i | \(0.383351\pi\) | |||||||
\(954\) | −23.9580 | + | 53.8105i | −0.775668 | + | 1.74218i | ||||
\(955\) | 8.36723 | − | 33.9132i | 0.270757 | − | 1.09740i | ||||
\(956\) | 24.0690 | − | 10.7162i | 0.778447 | − | 0.346587i | ||||
\(957\) | 24.2006 | − | 90.3178i | 0.782294 | − | 2.91956i | ||||
\(958\) | −24.2670 | + | 3.84351i | −0.784031 | + | 0.124178i | ||||
\(959\) | 21.5680 | − | 28.1852i | 0.696467 | − | 0.910148i | ||||
\(960\) | −38.2612 | + | 35.8550i | −1.23488 | + | 1.15722i | ||||
\(961\) | 0.298499 | − | 0.331517i | 0.00962901 | − | 0.0106941i | ||||
\(962\) | −0.144851 | + | 2.76392i | −0.00467018 | + | 0.0891124i | ||||
\(963\) | 0.561877 | − | 10.7213i | 0.0181062 | − | 0.345488i | ||||
\(964\) | −11.8532 | + | 13.1643i | −0.381765 | + | 0.423993i | ||||
\(965\) | 8.61610 | − | 44.9137i | 0.277362 | − | 1.44582i | ||||
\(966\) | −39.7410 | − | 95.5847i | −1.27865 | − | 3.07539i | ||||
\(967\) | 23.7132 | − | 3.75580i | 0.762565 | − | 0.120778i | 0.236974 | − | 0.971516i | \(-0.423844\pi\) |
0.525591 | + | 0.850738i | \(0.323844\pi\) | |||||||
\(968\) | −0.601620 | + | 2.24528i | −0.0193368 | + | 0.0721659i | ||||
\(969\) | −24.8506 | + | 11.0642i | −0.798315 | + | 0.355433i | ||||
\(970\) | 79.0473 | + | 49.1251i | 2.53806 | + | 1.57731i | ||||
\(971\) | 6.33721 | − | 14.2336i | 0.203371 | − | 0.456778i | −0.782850 | − | 0.622210i | \(-0.786235\pi\) |
0.986221 | + | 0.165432i | \(0.0529017\pi\) | |||||||
\(972\) | 0.0581201 | + | 0.00920532i | 0.00186420 | + | 0.000295261i | ||||
\(973\) | 25.3178 | + | 7.46299i | 0.811651 | + | 0.239252i | ||||
\(974\) | 45.6672i | 1.46327i | ||||||||
\(975\) | −9.08217 | + | 4.48494i | −0.290862 | + | 0.143633i | ||||
\(976\) | 20.7506 | + | 11.9804i | 0.664211 | + | 0.383482i | ||||
\(977\) | −32.6511 | + | 21.2039i | −1.04460 | + | 0.678372i | −0.948428 | − | 0.316992i | \(-0.897327\pi\) |
−0.0961736 | + | 0.995365i | \(0.530660\pi\) | |||||||
\(978\) | 82.3050 | − | 31.5939i | 2.63182 | − | 1.01026i | ||||
\(979\) | −33.9485 | + | 24.6650i | −1.08500 | + | 0.788298i | ||||
\(980\) | 62.8302 | − | 1.41743i | 2.00704 | − | 0.0452782i | ||||
\(981\) | −11.9304 | − | 8.66798i | −0.380910 | − | 0.276747i | ||||
\(982\) | −24.2377 | − | 6.49448i | −0.773456 | − | 0.207247i | ||||
\(983\) | −15.6652 | + | 40.8094i | −0.499644 | + | 1.30162i | 0.419522 | + | 0.907745i | \(0.362198\pi\) |
−0.919166 | + | 0.393871i | \(0.871136\pi\) | |||||||
\(984\) | −11.4180 | + | 10.2808i | −0.363994 | + | 0.327742i | ||||
\(985\) | 25.0129 | + | 17.4230i | 0.796976 | + | 0.555141i | ||||
\(986\) | 61.1058 | − | 19.8545i | 1.94600 | − | 0.632295i | ||||
\(987\) | 13.3308 | + | 17.3254i | 0.424323 | + | 0.551474i | ||||
\(988\) | −7.69609 | + | 3.92135i | −0.244845 | + | 0.124755i | ||||
\(989\) | −22.2400 | − | 20.0250i | −0.707192 | − | 0.636759i | ||||
\(990\) | 43.2860 | − | 102.675i | 1.37572 | − | 3.26321i | ||||
\(991\) | −16.4088 | − | 18.2238i | −0.521242 | − | 0.578898i | 0.423837 | − | 0.905738i | \(-0.360683\pi\) |
−0.945080 | + | 0.326840i | \(0.894016\pi\) | |||||||
\(992\) | −0.638627 | + | 0.517150i | −0.0202764 | + | 0.0164195i | ||||
\(993\) | −17.8981 | + | 17.8981i | −0.567978 | + | 0.567978i | ||||
\(994\) | −63.6518 | + | 5.09439i | −2.01891 | + | 0.161584i | ||||
\(995\) | 27.3993 | + | 40.4071i | 0.868617 | + | 1.28099i | ||||
\(996\) | 87.7500 | + | 39.0688i | 2.78047 | + | 1.23794i | ||||
\(997\) | 35.8237 | − | 44.2386i | 1.13455 | − | 1.40105i | 0.230790 | − | 0.973004i | \(-0.425869\pi\) |
0.903757 | − | 0.428046i | \(-0.140798\pi\) | |||||||
\(998\) | 13.7808 | + | 21.2205i | 0.436222 | + | 0.671724i | ||||
\(999\) | 7.51747 | + | 13.0206i | 0.237842 | + | 0.411955i |
(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.x.a.108.3 | yes | 288 | |
5.2 | odd | 4 | 875.2.bb.b.857.16 | 288 | |||
5.3 | odd | 4 | 875.2.bb.a.857.3 | 288 | |||
5.4 | even | 2 | 875.2.bb.c.143.16 | 288 | |||
7.5 | odd | 6 | inner | 175.2.x.a.33.3 | ✓ | 288 | |
25.3 | odd | 20 | 875.2.bb.c.507.16 | 288 | |||
25.4 | even | 10 | 875.2.bb.a.493.16 | 288 | |||
25.21 | even | 5 | 875.2.bb.b.493.3 | 288 | |||
25.22 | odd | 20 | inner | 175.2.x.a.122.3 | yes | 288 | |
35.12 | even | 12 | 875.2.bb.b.607.3 | 288 | |||
35.19 | odd | 6 | 875.2.bb.c.768.16 | 288 | |||
35.33 | even | 12 | 875.2.bb.a.607.16 | 288 | |||
175.47 | even | 60 | inner | 175.2.x.a.47.3 | yes | 288 | |
175.54 | odd | 30 | 875.2.bb.a.243.3 | 288 | |||
175.96 | odd | 30 | 875.2.bb.b.243.16 | 288 | |||
175.103 | even | 60 | 875.2.bb.c.257.16 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.x.a.33.3 | ✓ | 288 | 7.5 | odd | 6 | inner | |
175.2.x.a.47.3 | yes | 288 | 175.47 | even | 60 | inner | |
175.2.x.a.108.3 | yes | 288 | 1.1 | even | 1 | trivial | |
175.2.x.a.122.3 | yes | 288 | 25.22 | odd | 20 | inner | |
875.2.bb.a.243.3 | 288 | 175.54 | odd | 30 | |||
875.2.bb.a.493.16 | 288 | 25.4 | even | 10 | |||
875.2.bb.a.607.16 | 288 | 35.33 | even | 12 | |||
875.2.bb.a.857.3 | 288 | 5.3 | odd | 4 | |||
875.2.bb.b.243.16 | 288 | 175.96 | odd | 30 | |||
875.2.bb.b.493.3 | 288 | 25.21 | even | 5 | |||
875.2.bb.b.607.3 | 288 | 35.12 | even | 12 | |||
875.2.bb.b.857.16 | 288 | 5.2 | odd | 4 | |||
875.2.bb.c.143.16 | 288 | 5.4 | even | 2 | |||
875.2.bb.c.257.16 | 288 | 175.103 | even | 60 | |||
875.2.bb.c.507.16 | 288 | 25.3 | odd | 20 | |||
875.2.bb.c.768.16 | 288 | 35.19 | odd | 6 |