Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(59,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.bd (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 59.15 | ||
Character | \(\chi\) | \(=\) | 360.59 |
Dual form | 360.2.bd.b.299.15 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.958742 | + | 1.03962i | −0.677933 | + | 0.735124i | ||||
\(3\) | 0.0381767 | − | 1.73163i | 0.0220413 | − | 0.999757i | ||||
\(4\) | −0.161627 | − | 1.99346i | −0.0808134 | − | 0.996729i | ||||
\(5\) | 2.06491 | − | 0.857979i | 0.923458 | − | 0.383700i | ||||
\(6\) | 1.76364 | + | 1.69988i | 0.720002 | + | 0.693972i | ||||
\(7\) | 2.06690 | + | 3.57998i | 0.781216 | + | 1.35310i | 0.931234 | + | 0.364422i | \(0.118733\pi\) |
−0.150018 | + | 0.988683i | \(0.547933\pi\) | |||||||
\(8\) | 2.22740 | + | 1.74318i | 0.787505 | + | 0.616308i | ||||
\(9\) | −2.99709 | − | 0.132216i | −0.999028 | − | 0.0440720i | ||||
\(10\) | −1.08775 | + | 2.96931i | −0.343976 | + | 0.938979i | ||||
\(11\) | 1.04488 | − | 0.603262i | 0.315043 | − | 0.181890i | −0.334138 | − | 0.942524i | \(-0.608445\pi\) |
0.649181 | + | 0.760634i | \(0.275112\pi\) | |||||||
\(12\) | −3.45810 | + | 0.203774i | −0.998268 | + | 0.0588245i | ||||
\(13\) | 0.444938 | − | 0.770655i | 0.123404 | − | 0.213741i | −0.797704 | − | 0.603049i | \(-0.793952\pi\) |
0.921108 | + | 0.389308i | \(0.127286\pi\) | |||||||
\(14\) | −5.70345 | − | 1.28348i | −1.52431 | − | 0.343025i | ||||
\(15\) | −1.40687 | − | 3.60842i | −0.363253 | − | 0.931691i | ||||
\(16\) | −3.94775 | + | 0.644393i | −0.986938 | + | 0.161098i | ||||
\(17\) | 0.456672 | 0.110759 | 0.0553796 | − | 0.998465i | \(-0.482363\pi\) | ||||
0.0553796 | + | 0.998465i | \(0.482363\pi\) | |||||||
\(18\) | 3.01089 | − | 2.98907i | 0.709673 | − | 0.704531i | ||||
\(19\) | 7.68779 | 1.76370 | 0.881850 | − | 0.471531i | \(-0.156298\pi\) | ||||
0.881850 | + | 0.471531i | \(0.156298\pi\) | |||||||
\(20\) | −2.04409 | − | 3.97765i | −0.457073 | − | 0.889429i | ||||
\(21\) | 6.27811 | − | 3.44244i | 1.37000 | − | 0.751201i | ||||
\(22\) | −0.374607 | + | 1.66465i | −0.0798664 | + | 0.354905i | ||||
\(23\) | −4.65266 | − | 2.68621i | −0.970146 | − | 0.560114i | −0.0708653 | − | 0.997486i | \(-0.522576\pi\) |
−0.899281 | + | 0.437372i | \(0.855909\pi\) | |||||||
\(24\) | 3.10358 | − | 3.79049i | 0.633516 | − | 0.773730i | ||||
\(25\) | 3.52774 | − | 3.54331i | 0.705548 | − | 0.708662i | ||||
\(26\) | 0.374609 | + | 1.20143i | 0.0734669 | + | 0.235619i | ||||
\(27\) | −0.343368 | + | 5.18479i | −0.0660812 | + | 0.997814i | ||||
\(28\) | 6.80247 | − | 4.69890i | 1.28555 | − | 0.888009i | ||||
\(29\) | −3.54452 | − | 6.13928i | −0.658200 | − | 1.14004i | −0.981081 | − | 0.193597i | \(-0.937985\pi\) |
0.322881 | − | 0.946440i | \(-0.395349\pi\) | |||||||
\(30\) | 5.10022 | + | 1.99693i | 0.931169 | + | 0.364588i | ||||
\(31\) | 7.17070 | + | 4.14000i | 1.28790 | + | 0.743567i | 0.978279 | − | 0.207295i | \(-0.0664659\pi\) |
0.309617 | + | 0.950861i | \(0.399799\pi\) | |||||||
\(32\) | 3.11495 | − | 4.72198i | 0.550651 | − | 0.834735i | ||||
\(33\) | −1.00474 | − | 1.83238i | −0.174902 | − | 0.318976i | ||||
\(34\) | −0.437831 | + | 0.474766i | −0.0750873 | + | 0.0814217i | ||||
\(35\) | 7.33952 | + | 5.61899i | 1.24061 | + | 0.949783i | ||||
\(36\) | 0.220842 | + | 5.99593i | 0.0368071 | + | 0.999322i | ||||
\(37\) | −4.24133 | −0.697270 | −0.348635 | − | 0.937259i | \(-0.613355\pi\) | ||||
−0.348635 | + | 0.937259i | \(0.613355\pi\) | |||||||
\(38\) | −7.37061 | + | 7.99239i | −1.19567 | + | 1.29654i | ||||
\(39\) | −1.31750 | − | 0.799889i | −0.210969 | − | 0.128085i | ||||
\(40\) | 6.09501 | + | 1.68846i | 0.963705 | + | 0.266968i | ||||
\(41\) | −5.17921 | − | 2.99022i | −0.808856 | − | 0.466994i | 0.0377021 | − | 0.999289i | \(-0.487996\pi\) |
−0.846559 | + | 0.532296i | \(0.821330\pi\) | |||||||
\(42\) | −2.44025 | + | 9.82727i | −0.376539 | + | 1.51638i | ||||
\(43\) | −3.70454 | + | 2.13881i | −0.564936 | + | 0.326166i | −0.755124 | − | 0.655581i | \(-0.772424\pi\) |
0.190188 | + | 0.981748i | \(0.439090\pi\) | |||||||
\(44\) | −1.37146 | − | 1.98542i | −0.206755 | − | 0.299314i | ||||
\(45\) | −6.30216 | + | 2.29842i | −0.939471 | + | 0.342629i | ||||
\(46\) | 7.25334 | − | 2.26162i | 1.06945 | − | 0.333457i | ||||
\(47\) | 3.27309 | − | 1.88972i | 0.477429 | − | 0.275644i | −0.241916 | − | 0.970297i | \(-0.577776\pi\) |
0.719344 | + | 0.694654i | \(0.244442\pi\) | |||||||
\(48\) | 0.965138 | + | 6.86065i | 0.139306 | + | 0.990249i | ||||
\(49\) | −5.04417 | + | 8.73675i | −0.720595 | + | 1.24811i | ||||
\(50\) | 0.301505 | + | 7.06464i | 0.0426392 | + | 0.999091i | ||||
\(51\) | 0.0174342 | − | 0.790787i | 0.00244128 | − | 0.110732i | ||||
\(52\) | −1.60818 | − | 0.762407i | −0.223015 | − | 0.105727i | ||||
\(53\) | 1.12757i | 0.154883i | 0.996997 | + | 0.0774416i | \(0.0246751\pi\) | ||||
−0.996997 | + | 0.0774416i | \(0.975325\pi\) | |||||||
\(54\) | −5.06102 | − | 5.32785i | −0.688718 | − | 0.725029i | ||||
\(55\) | 1.64000 | − | 2.14217i | 0.221138 | − | 0.288850i | ||||
\(56\) | −1.63674 | + | 11.5770i | −0.218718 | + | 1.54705i | ||||
\(57\) | 0.293495 | − | 13.3124i | 0.0388743 | − | 1.76327i | ||||
\(58\) | 9.78081 | + | 2.20103i | 1.28428 | + | 0.289010i | ||||
\(59\) | 8.29137 | + | 4.78703i | 1.07944 | + | 0.623218i | 0.930747 | − | 0.365665i | \(-0.119158\pi\) |
0.148698 | + | 0.988883i | \(0.452492\pi\) | |||||||
\(60\) | −6.96585 | + | 3.38776i | −0.899288 | + | 0.437358i | ||||
\(61\) | 3.50530 | − | 2.02379i | 0.448808 | − | 0.259120i | −0.258519 | − | 0.966006i | \(-0.583234\pi\) |
0.707327 | + | 0.706887i | \(0.249901\pi\) | |||||||
\(62\) | −11.1789 | + | 3.48562i | −1.41972 | + | 0.442674i | ||||
\(63\) | −5.72135 | − | 11.0028i | −0.720822 | − | 1.38622i | ||||
\(64\) | 1.92263 | + | 7.76553i | 0.240329 | + | 0.970691i | ||||
\(65\) | 0.257552 | − | 1.97308i | 0.0319455 | − | 0.244731i | ||||
\(66\) | 2.86826 | + | 0.712231i | 0.353059 | + | 0.0876696i | ||||
\(67\) | −5.36012 | − | 3.09467i | −0.654843 | − | 0.378074i | 0.135466 | − | 0.990782i | \(-0.456747\pi\) |
−0.790309 | + | 0.612708i | \(0.790080\pi\) | |||||||
\(68\) | −0.0738104 | − | 0.910357i | −0.00895083 | − | 0.110397i | ||||
\(69\) | −4.82915 | + | 7.95413i | −0.581361 | + | 0.957565i | ||||
\(70\) | −12.8783 | + | 2.24317i | −1.53926 | + | 0.268110i | ||||
\(71\) | −13.1214 | −1.55722 | −0.778612 | − | 0.627505i | \(-0.784076\pi\) | ||||
−0.778612 | + | 0.627505i | \(0.784076\pi\) | |||||||
\(72\) | −6.44523 | − | 5.51896i | −0.759578 | − | 0.650416i | ||||
\(73\) | − | 5.98616i | − | 0.700627i | −0.936632 | − | 0.350314i | \(-0.886075\pi\) | ||
0.936632 | − | 0.350314i | \(-0.113925\pi\) | |||||||
\(74\) | 4.06634 | − | 4.40937i | 0.472702 | − | 0.512579i | ||||
\(75\) | −6.00102 | − | 6.24402i | −0.692938 | − | 0.720997i | ||||
\(76\) | −1.24255 | − | 15.3253i | −0.142531 | − | 1.75793i | ||||
\(77\) | 4.31933 | + | 2.49377i | 0.492234 | + | 0.284191i | ||||
\(78\) | 2.09473 | − | 0.602818i | 0.237181 | − | 0.0682557i | ||||
\(79\) | −4.03826 | + | 2.33149i | −0.454339 | + | 0.262313i | −0.709661 | − | 0.704543i | \(-0.751152\pi\) |
0.255322 | + | 0.966856i | \(0.417819\pi\) | |||||||
\(80\) | −7.59890 | + | 4.71771i | −0.849583 | + | 0.527456i | ||||
\(81\) | 8.96504 | + | 0.792525i | 0.996115 | + | 0.0880583i | ||||
\(82\) | 8.07422 | − | 2.51757i | 0.891649 | − | 0.278019i | ||||
\(83\) | 7.94165 | + | 13.7553i | 0.871710 | + | 1.50985i | 0.860227 | + | 0.509911i | \(0.170322\pi\) |
0.0114826 | + | 0.999934i | \(0.496345\pi\) | |||||||
\(84\) | −7.87707 | − | 11.9588i | −0.859458 | − | 1.30481i | ||||
\(85\) | 0.942989 | − | 0.391815i | 0.102281 | − | 0.0424983i | ||||
\(86\) | 1.32814 | − | 5.90189i | 0.143217 | − | 0.636417i | ||||
\(87\) | −10.7663 | + | 5.90341i | −1.15427 | + | 0.632912i | ||||
\(88\) | 3.37896 | + | 0.477710i | 0.360199 | + | 0.0509241i | ||||
\(89\) | − | 1.56015i | − | 0.165376i | −0.996575 | − | 0.0826879i | \(-0.973650\pi\) | ||
0.996575 | − | 0.0826879i | \(-0.0263504\pi\) | |||||||
\(90\) | 3.65266 | − | 8.75546i | 0.385024 | − | 0.922907i | ||||
\(91\) | 3.67857 | 0.385619 | ||||||||
\(92\) | −4.60286 | + | 9.70904i | −0.479881 | + | 1.01224i | ||||
\(93\) | 7.44271 | − | 12.2589i | 0.771773 | − | 1.27119i | ||||
\(94\) | −1.17345 | + | 5.21452i | −0.121033 | + | 0.537837i | ||||
\(95\) | 15.8746 | − | 6.59596i | 1.62870 | − | 0.676732i | ||||
\(96\) | −8.05780 | − | 5.57422i | −0.822396 | − | 0.568916i | ||||
\(97\) | −9.34182 | + | 5.39350i | −0.948518 | + | 0.547627i | −0.892620 | − | 0.450809i | \(-0.851135\pi\) |
−0.0558977 | + | 0.998437i | \(0.517802\pi\) | |||||||
\(98\) | −4.24686 | − | 13.6203i | −0.428998 | − | 1.37586i | ||||
\(99\) | −3.21136 | + | 1.66988i | −0.322754 | + | 0.167829i | ||||
\(100\) | −7.63362 | − | 6.45971i | −0.763362 | − | 0.645971i | ||||
\(101\) | 0.359792 | + | 0.623178i | 0.0358007 | + | 0.0620086i | 0.883371 | − | 0.468675i | \(-0.155269\pi\) |
−0.847570 | + | 0.530684i | \(0.821935\pi\) | |||||||
\(102\) | 0.805404 | + | 0.776286i | 0.0797469 | + | 0.0768637i | ||||
\(103\) | −1.88508 | + | 3.26505i | −0.185742 | + | 0.321715i | −0.943826 | − | 0.330442i | \(-0.892802\pi\) |
0.758084 | + | 0.652157i | \(0.226136\pi\) | |||||||
\(104\) | 2.33445 | − | 0.940950i | 0.228911 | − | 0.0922678i | ||||
\(105\) | 10.0102 | − | 12.4948i | 0.976897 | − | 1.21937i | ||||
\(106\) | −1.17224 | − | 1.08105i | −0.113858 | − | 0.105000i | ||||
\(107\) | −12.8238 | −1.23973 | −0.619863 | − | 0.784710i | \(-0.712812\pi\) | ||||
−0.619863 | + | 0.784710i | \(0.712812\pi\) | |||||||
\(108\) | 10.3912 | − | 0.153512i | 0.999891 | − | 0.0147717i | ||||
\(109\) | 5.32253i | 0.509806i | 0.966967 | + | 0.254903i | \(0.0820435\pi\) | ||||
−0.966967 | + | 0.254903i | \(0.917957\pi\) | |||||||
\(110\) | 0.654708 | + | 3.75877i | 0.0624239 | + | 0.358385i | ||||
\(111\) | −0.161920 | + | 7.34441i | −0.0153688 | + | 0.697100i | ||||
\(112\) | −10.4665 | − | 12.8010i | −0.988994 | − | 1.20958i | ||||
\(113\) | −5.49190 | + | 9.51225i | −0.516635 | + | 0.894838i | 0.483179 | + | 0.875522i | \(0.339482\pi\) |
−0.999813 | + | 0.0193159i | \(0.993851\pi\) | |||||||
\(114\) | 13.5585 | + | 13.0683i | 1.26987 | + | 1.22396i | ||||
\(115\) | −11.9121 | − | 1.55492i | −1.11080 | − | 0.144997i | ||||
\(116\) | −11.6655 | + | 8.05812i | −1.08312 | + | 0.748178i | ||||
\(117\) | −1.43541 | + | 2.25089i | −0.132704 | + | 0.208095i | ||||
\(118\) | −12.9260 | + | 4.03037i | −1.18993 | + | 0.371025i | ||||
\(119\) | 0.943896 | + | 1.63488i | 0.0865268 | + | 0.149869i | ||||
\(120\) | 3.15647 | − | 10.4898i | 0.288145 | − | 0.957587i | ||||
\(121\) | −4.77215 | + | 8.26561i | −0.433832 | + | 0.751419i | ||||
\(122\) | −1.25671 | + | 5.58448i | −0.113777 | + | 0.505595i | ||||
\(123\) | −5.37568 | + | 8.85432i | −0.484708 | + | 0.798367i | ||||
\(124\) | 7.09395 | − | 14.9636i | 0.637055 | − | 1.34377i | ||||
\(125\) | 4.24440 | − | 10.3434i | 0.379631 | − | 0.925138i | ||||
\(126\) | 16.9240 | + | 4.60079i | 1.50771 | + | 0.409871i | ||||
\(127\) | −7.07390 | −0.627707 | −0.313853 | − | 0.949471i | \(-0.601620\pi\) | ||||
−0.313853 | + | 0.949471i | \(0.601620\pi\) | |||||||
\(128\) | −9.91653 | − | 5.44633i | −0.876505 | − | 0.481392i | ||||
\(129\) | 3.56221 | + | 6.49654i | 0.313635 | + | 0.571988i | ||||
\(130\) | 1.80434 | + | 2.15944i | 0.158251 | + | 0.189395i | ||||
\(131\) | −5.09716 | − | 2.94285i | −0.445341 | − | 0.257118i | 0.260519 | − | 0.965469i | \(-0.416106\pi\) |
−0.705861 | + | 0.708351i | \(0.749440\pi\) | |||||||
\(132\) | −3.49038 | + | 2.29906i | −0.303798 | + | 0.200108i | ||||
\(133\) | 15.8899 | + | 27.5221i | 1.37783 | + | 2.38647i | ||||
\(134\) | 8.35626 | − | 2.60551i | 0.721871 | − | 0.225082i | ||||
\(135\) | 3.73942 | + | 11.0008i | 0.321838 | + | 0.946795i | ||||
\(136\) | 1.01719 | + | 0.796062i | 0.0872235 | + | 0.0682618i | ||||
\(137\) | −2.30642 | − | 3.99485i | −0.197051 | − | 0.341303i | 0.750520 | − | 0.660848i | \(-0.229803\pi\) |
−0.947571 | + | 0.319545i | \(0.896470\pi\) | |||||||
\(138\) | −3.63938 | − | 12.6465i | −0.309804 | − | 1.07654i | ||||
\(139\) | −3.72132 | + | 6.44552i | −0.315638 | + | 0.546702i | −0.979573 | − | 0.201089i | \(-0.935552\pi\) |
0.663935 | + | 0.747791i | \(0.268885\pi\) | |||||||
\(140\) | 10.0150 | − | 15.5392i | 0.846419 | − | 1.31330i | ||||
\(141\) | −3.14734 | − | 5.73992i | −0.265053 | − | 0.483388i | ||||
\(142\) | 12.5800 | − | 13.6413i | 1.05569 | − | 1.14475i | ||||
\(143\) | − | 1.07366i | − | 0.0897837i | ||||||
\(144\) | 11.9170 | − | 1.40934i | 0.993079 | − | 0.117445i | ||||
\(145\) | −12.5865 | − | 9.63597i | −1.04525 | − | 0.800224i | ||||
\(146\) | 6.22334 | + | 5.73919i | 0.515048 | + | 0.474978i | ||||
\(147\) | 14.9363 | + | 9.06817i | 1.23192 | + | 0.747930i | ||||
\(148\) | 0.685512 | + | 8.45491i | 0.0563487 | + | 0.694989i | ||||
\(149\) | 0.421824 | − | 0.730621i | 0.0345572 | − | 0.0598548i | −0.848230 | − | 0.529629i | \(-0.822331\pi\) |
0.882787 | + | 0.469774i | \(0.155665\pi\) | |||||||
\(150\) | 12.2448 | − | 0.252390i | 0.999788 | − | 0.0206076i | ||||
\(151\) | −7.37088 | + | 4.25558i | −0.599834 | + | 0.346314i | −0.768976 | − | 0.639278i | \(-0.779234\pi\) |
0.169143 | + | 0.985592i | \(0.445900\pi\) | |||||||
\(152\) | 17.1238 | + | 13.4012i | 1.38892 | + | 1.08698i | ||||
\(153\) | −1.36868 | − | 0.0603793i | −0.110652 | − | 0.00488138i | ||||
\(154\) | −6.73370 | + | 2.09959i | −0.542617 | + | 0.169190i | ||||
\(155\) | 18.3589 | + | 2.39644i | 1.47462 | + | 0.192487i | ||||
\(156\) | −1.38160 | + | 2.75567i | −0.110617 | + | 0.220630i | ||||
\(157\) | −4.81086 | + | 8.33266i | −0.383949 | + | 0.665019i | −0.991623 | − | 0.129168i | \(-0.958769\pi\) |
0.607674 | + | 0.794186i | \(0.292103\pi\) | |||||||
\(158\) | 1.44778 | − | 6.43356i | 0.115179 | − | 0.511826i | ||||
\(159\) | 1.95253 | + | 0.0430468i | 0.154846 | + | 0.00341383i | ||||
\(160\) | 2.38075 | − | 12.4230i | 0.188215 | − | 0.982128i | ||||
\(161\) | − | 22.2086i | − | 1.75028i | ||||||
\(162\) | −9.41909 | + | 8.56042i | −0.740033 | + | 0.672570i | ||||
\(163\) | − | 15.8162i | − | 1.23882i | −0.785068 | − | 0.619410i | \(-0.787372\pi\) | ||
0.785068 | − | 0.619410i | \(-0.212628\pi\) | |||||||
\(164\) | −5.12378 | + | 10.8078i | −0.400100 | + | 0.843950i | ||||
\(165\) | −3.64684 | − | 2.92166i | −0.283906 | − | 0.227451i | ||||
\(166\) | −21.9144 | − | 4.93152i | −1.70088 | − | 0.382760i | ||||
\(167\) | 14.7298 | + | 8.50428i | 1.13983 | + | 0.658081i | 0.946388 | − | 0.323031i | \(-0.104702\pi\) |
0.193441 | + | 0.981112i | \(0.438035\pi\) | |||||||
\(168\) | 19.9847 | + | 3.27619i | 1.54185 | + | 0.252764i | ||||
\(169\) | 6.10406 | + | 10.5725i | 0.469543 | + | 0.813273i | ||||
\(170\) | −0.496743 | + | 1.35600i | −0.0380985 | + | 0.104001i | ||||
\(171\) | −23.0410 | − | 1.01645i | −1.76199 | − | 0.0777297i | ||||
\(172\) | 4.86239 | + | 7.03915i | 0.370754 | + | 0.536730i | ||||
\(173\) | 6.65962 | − | 3.84493i | 0.506322 | − | 0.292325i | −0.224999 | − | 0.974359i | \(-0.572238\pi\) |
0.731320 | + | 0.682034i | \(0.238904\pi\) | |||||||
\(174\) | 4.18477 | − | 16.8527i | 0.317247 | − | 1.27760i | ||||
\(175\) | 19.9765 | + | 5.30557i | 1.51008 | + | 0.401064i | ||||
\(176\) | −3.73619 | + | 3.05484i | −0.281626 | + | 0.230267i | ||||
\(177\) | 8.60590 | − | 14.1748i | 0.646859 | − | 1.06545i | ||||
\(178\) | 1.62197 | + | 1.49578i | 0.121572 | + | 0.112114i | ||||
\(179\) | 20.7334i | 1.54969i | 0.632153 | + | 0.774844i | \(0.282172\pi\) | ||||
−0.632153 | + | 0.774844i | \(0.717828\pi\) | |||||||
\(180\) | 5.60041 | + | 12.1916i | 0.417430 | + | 0.908709i | ||||
\(181\) | − | 15.9747i | − | 1.18739i | −0.804690 | − | 0.593696i | \(-0.797668\pi\) | ||
0.804690 | − | 0.593696i | \(-0.202332\pi\) | |||||||
\(182\) | −3.52680 | + | 3.82432i | −0.261424 | + | 0.283478i | ||||
\(183\) | −3.37063 | − | 6.14715i | −0.249164 | − | 0.454410i | ||||
\(184\) | −5.68078 | − | 14.0937i | −0.418792 | − | 1.03900i | ||||
\(185\) | −8.75798 | + | 3.63897i | −0.643899 | + | 0.267542i | ||||
\(186\) | 5.60902 | + | 19.4908i | 0.411274 | + | 1.42913i | ||||
\(187\) | 0.477168 | − | 0.275493i | 0.0348940 | − | 0.0201460i | ||||
\(188\) | −4.29609 | − | 6.21933i | −0.313325 | − | 0.453591i | ||||
\(189\) | −19.2712 | + | 9.48721i | −1.40177 | + | 0.690093i | ||||
\(190\) | −8.36236 | + | 22.8274i | −0.606670 | + | 1.65608i | ||||
\(191\) | 4.08801 | + | 7.08064i | 0.295798 | + | 0.512337i | 0.975170 | − | 0.221457i | \(-0.0710811\pi\) |
−0.679372 | + | 0.733794i | \(0.737748\pi\) | |||||||
\(192\) | 13.5204 | − | 3.03283i | 0.975753 | − | 0.218875i | ||||
\(193\) | 19.0291 | + | 10.9865i | 1.36975 | + | 0.790823i | 0.990895 | − | 0.134635i | \(-0.0429863\pi\) |
0.378850 | + | 0.925458i | \(0.376320\pi\) | |||||||
\(194\) | 3.34919 | − | 14.8829i | 0.240458 | − | 1.06853i | ||||
\(195\) | −3.40682 | − | 0.521312i | −0.243967 | − | 0.0373319i | ||||
\(196\) | 18.2316 | + | 8.64324i | 1.30226 | + | 0.617375i | ||||
\(197\) | − | 12.9733i | − | 0.924311i | −0.886799 | − | 0.462155i | \(-0.847076\pi\) | ||
0.886799 | − | 0.462155i | \(-0.152924\pi\) | |||||||
\(198\) | 1.34282 | − | 4.93958i | 0.0954302 | − | 0.351041i | ||||
\(199\) | − | 1.84208i | − | 0.130582i | −0.997866 | − | 0.0652910i | \(-0.979202\pi\) | ||
0.997866 | − | 0.0652910i | \(-0.0207976\pi\) | |||||||
\(200\) | 14.0343 | − | 1.74287i | 0.992377 | − | 0.123240i | ||||
\(201\) | −5.56345 | + | 9.16360i | −0.392416 | + | 0.646351i | ||||
\(202\) | −0.992818 | − | 0.223420i | −0.0698544 | − | 0.0157197i | ||||
\(203\) | 14.6523 | − | 25.3786i | 1.02839 | − | 1.78123i | ||||
\(204\) | −1.57922 | + | 0.0930579i | −0.110567 | + | 0.00651536i | ||||
\(205\) | −13.2602 | − | 1.73089i | −0.926130 | − | 0.120890i | ||||
\(206\) | −1.58712 | − | 5.09011i | −0.110580 | − | 0.354645i | ||||
\(207\) | 13.5892 | + | 8.66596i | 0.944518 | + | 0.602326i | ||||
\(208\) | −1.25990 | + | 3.32907i | −0.0873584 | + | 0.230830i | ||||
\(209\) | 8.03282 | − | 4.63775i | 0.555642 | − | 0.320800i | ||||
\(210\) | 3.39268 | + | 22.3862i | 0.234117 | + | 1.54479i | ||||
\(211\) | 14.3510 | − | 24.8567i | 0.987967 | − | 1.71121i | 0.360040 | − | 0.932937i | \(-0.382763\pi\) |
0.627927 | − | 0.778272i | \(-0.283904\pi\) | |||||||
\(212\) | 2.24776 | − | 0.182245i | 0.154377 | − | 0.0125166i | ||||
\(213\) | −0.500932 | + | 22.7214i | −0.0343233 | + | 1.55685i | ||||
\(214\) | 12.2947 | − | 13.3319i | 0.840451 | − | 0.911351i | ||||
\(215\) | −5.81449 | + | 7.59489i | −0.396545 | + | 0.517967i | ||||
\(216\) | −9.80286 | + | 10.9501i | −0.667000 | + | 0.745058i | ||||
\(217\) | 34.2279i | 2.32354i | ||||||||
\(218\) | −5.53341 | − | 5.10293i | −0.374770 | − | 0.345614i | ||||
\(219\) | −10.3658 | − | 0.228532i | −0.700457 | − | 0.0154428i | ||||
\(220\) | −4.53540 | − | 2.92304i | −0.305776 | − | 0.197072i | ||||
\(221\) | 0.203191 | − | 0.351937i | 0.0136681 | − | 0.0236738i | ||||
\(222\) | −7.48017 | − | 7.20973i | −0.502036 | − | 0.483885i | ||||
\(223\) | −4.22448 | − | 7.31701i | −0.282892 | − | 0.489983i | 0.689204 | − | 0.724568i | \(-0.257960\pi\) |
−0.972096 | + | 0.234584i | \(0.924627\pi\) | |||||||
\(224\) | 23.3429 | + | 1.39160i | 1.55966 | + | 0.0929805i | ||||
\(225\) | −11.0414 | + | 10.1532i | −0.736095 | + | 0.676878i | ||||
\(226\) | −4.62383 | − | 14.8293i | −0.307572 | − | 0.986430i | ||||
\(227\) | −6.92498 | − | 11.9944i | −0.459627 | − | 0.796097i | 0.539314 | − | 0.842105i | \(-0.318684\pi\) |
−0.998941 | + | 0.0460075i | \(0.985350\pi\) | |||||||
\(228\) | −26.5852 | + | 1.56657i | −1.76065 | + | 0.103749i | ||||
\(229\) | 10.4035 | + | 6.00648i | 0.687485 | + | 0.396920i | 0.802669 | − | 0.596425i | \(-0.203413\pi\) |
−0.115184 | + | 0.993344i | \(0.536746\pi\) | |||||||
\(230\) | 13.0371 | − | 10.8933i | 0.859642 | − | 0.718281i | ||||
\(231\) | 4.48318 | − | 7.38428i | 0.294972 | − | 0.485850i | ||||
\(232\) | 2.80683 | − | 19.8534i | 0.184277 | − | 1.30344i | ||||
\(233\) | −11.6615 | −0.763971 | −0.381985 | − | 0.924168i | \(-0.624760\pi\) | ||||
−0.381985 | + | 0.924168i | \(0.624760\pi\) | |||||||
\(234\) | −0.963888 | − | 3.65031i | −0.0630113 | − | 0.238628i | ||||
\(235\) | 5.13730 | − | 6.71034i | 0.335121 | − | 0.437735i | ||||
\(236\) | 8.20263 | − | 17.3022i | 0.533946 | − | 1.12628i | ||||
\(237\) | 3.88311 | + | 7.08177i | 0.252235 | + | 0.460011i | ||||
\(238\) | −2.60461 | − | 0.586130i | −0.168832 | − | 0.0379931i | ||||
\(239\) | −7.35305 | + | 12.7359i | −0.475629 | + | 0.823814i | −0.999610 | − | 0.0279159i | \(-0.991113\pi\) |
0.523981 | + | 0.851730i | \(0.324446\pi\) | |||||||
\(240\) | 7.87922 | + | 13.3386i | 0.508602 | + | 0.861002i | ||||
\(241\) | −5.46942 | − | 9.47331i | −0.352316 | − | 0.610230i | 0.634339 | − | 0.773055i | \(-0.281273\pi\) |
−0.986655 | + | 0.162826i | \(0.947939\pi\) | |||||||
\(242\) | −4.01784 | − | 12.8858i | −0.258277 | − | 0.828332i | ||||
\(243\) | 1.71462 | − | 15.4939i | 0.109993 | − | 0.993932i | ||||
\(244\) | −4.60089 | − | 6.66058i | −0.294542 | − | 0.426400i | ||||
\(245\) | −2.91982 | + | 22.3684i | −0.186540 | + | 1.42907i | ||||
\(246\) | −4.05125 | − | 14.0777i | −0.258298 | − | 0.897560i | ||||
\(247\) | 3.42059 | − | 5.92463i | 0.217647 | − | 0.376975i | ||||
\(248\) | 8.75524 | + | 21.7213i | 0.555958 | + | 1.37930i | ||||
\(249\) | 24.1224 | − | 13.2269i | 1.52869 | − | 0.838219i | ||||
\(250\) | 6.68389 | + | 14.3292i | 0.422727 | + | 0.906257i | ||||
\(251\) | 3.08988i | 0.195032i | 0.995234 | + | 0.0975158i | \(0.0310897\pi\) | ||||
−0.995234 | + | 0.0975158i | \(0.968910\pi\) | |||||||
\(252\) | −21.0089 | + | 13.1836i | −1.32343 | + | 0.830490i | ||||
\(253\) | −6.48196 | −0.407517 | ||||||||
\(254\) | 6.78204 | − | 7.35418i | 0.425543 | − | 0.461442i | ||||
\(255\) | −0.642479 | − | 1.64787i | −0.0402336 | − | 0.103193i | ||||
\(256\) | 15.1695 | − | 5.08781i | 0.948095 | − | 0.317988i | ||||
\(257\) | −3.05785 | + | 5.29635i | −0.190744 | + | 0.330377i | −0.945497 | − | 0.325631i | \(-0.894423\pi\) |
0.754753 | + | 0.656009i | \(0.227757\pi\) | |||||||
\(258\) | −10.1692 | − | 2.52516i | −0.633106 | − | 0.157209i | ||||
\(259\) | −8.76641 | − | 15.1839i | −0.544718 | − | 0.943479i | ||||
\(260\) | −3.97489 | − | 0.194517i | −0.246512 | − | 0.0120634i | ||||
\(261\) | 9.81151 | + | 18.8686i | 0.607317 | + | 1.16794i | ||||
\(262\) | 7.94631 | − | 2.47769i | 0.490925 | − | 0.153072i | ||||
\(263\) | −11.3821 | + | 6.57147i | −0.701851 | + | 0.405214i | −0.808037 | − | 0.589132i | \(-0.799470\pi\) |
0.106185 | + | 0.994346i | \(0.466136\pi\) | |||||||
\(264\) | 0.956215 | − | 5.83288i | 0.0588510 | − | 0.358989i | ||||
\(265\) | 0.967429 | + | 2.32833i | 0.0594287 | + | 0.143028i | ||||
\(266\) | −43.8469 | − | 9.86713i | −2.68843 | − | 0.604992i | ||||
\(267\) | −2.70160 | − | 0.0595615i | −0.165336 | − | 0.00364510i | ||||
\(268\) | −5.30275 | + | 11.1854i | −0.323917 | + | 0.683255i | ||||
\(269\) | −0.161638 | −0.00985526 | −0.00492763 | − | 0.999988i | \(-0.501569\pi\) | ||||
−0.00492763 | + | 0.999988i | \(0.501569\pi\) | |||||||
\(270\) | −15.0218 | − | 6.65931i | −0.914196 | − | 0.405273i | ||||
\(271\) | − | 27.5003i | − | 1.67053i | −0.549850 | − | 0.835263i | \(-0.685315\pi\) | ||
0.549850 | − | 0.835263i | \(-0.314685\pi\) | |||||||
\(272\) | −1.80283 | + | 0.294276i | −0.109313 | + | 0.0178431i | ||||
\(273\) | 0.140436 | − | 6.36993i | 0.00849956 | − | 0.385526i | ||||
\(274\) | 6.36440 | + | 1.43222i | 0.384487 | + | 0.0865234i | ||||
\(275\) | 1.54853 | − | 5.83049i | 0.0933796 | − | 0.351592i | ||||
\(276\) | 16.6367 | + | 8.34111i | 1.00141 | + | 0.502076i | ||||
\(277\) | −14.6067 | − | 25.2996i | −0.877634 | − | 1.52011i | −0.853930 | − | 0.520388i | \(-0.825787\pi\) |
−0.0237047 | − | 0.999719i | \(-0.507546\pi\) | |||||||
\(278\) | −3.13311 | − | 10.0484i | −0.187912 | − | 0.602660i | ||||
\(279\) | −20.9438 | − | 13.3560i | −1.25387 | − | 0.799604i | ||||
\(280\) | 6.55314 | + | 25.3099i | 0.391625 | + | 1.51255i | ||||
\(281\) | −14.1792 | + | 8.18634i | −0.845858 | + | 0.488356i | −0.859251 | − | 0.511554i | \(-0.829070\pi\) |
0.0133933 | + | 0.999910i | \(0.495737\pi\) | |||||||
\(282\) | 8.98483 | + | 2.23106i | 0.535039 | + | 0.132858i | ||||
\(283\) | −2.35733 | − | 1.36101i | −0.140129 | − | 0.0809034i | 0.428297 | − | 0.903638i | \(-0.359114\pi\) |
−0.568425 | + | 0.822735i | \(0.692447\pi\) | |||||||
\(284\) | 2.12077 | + | 26.1570i | 0.125845 | + | 1.55213i | ||||
\(285\) | −10.8157 | − | 27.7408i | −0.640668 | − | 1.64322i | ||||
\(286\) | 1.11620 | + | 1.02936i | 0.0660021 | + | 0.0608673i | ||||
\(287\) | − | 24.7219i | − | 1.45929i | ||||||
\(288\) | −9.96010 | + | 13.7403i | −0.586905 | + | 0.809656i | ||||
\(289\) | −16.7915 | −0.987732 | ||||||||
\(290\) | 22.0850 | − | 3.84679i | 1.29687 | − | 0.225891i | ||||
\(291\) | 8.98291 | + | 16.3825i | 0.526587 | + | 0.960358i | ||||
\(292\) | −11.9332 | + | 0.967524i | −0.698336 | + | 0.0566201i | ||||
\(293\) | 2.92764 | + | 1.69027i | 0.171034 | + | 0.0987467i | 0.583073 | − | 0.812419i | \(-0.301850\pi\) |
−0.412039 | + | 0.911166i | \(0.635183\pi\) | |||||||
\(294\) | −23.7475 | + | 6.83402i | −1.38498 | + | 0.398568i | ||||
\(295\) | 21.2281 | + | 2.77097i | 1.23595 | + | 0.161332i | ||||
\(296\) | −9.44714 | − | 7.39340i | −0.549104 | − | 0.429733i | ||||
\(297\) | 2.76901 | + | 5.62463i | 0.160674 | + | 0.326374i | ||||
\(298\) | 0.355149 | + | 1.13901i | 0.0205732 | + | 0.0659813i | ||||
\(299\) | −4.14029 | + | 2.39040i | −0.239439 | + | 0.138240i | ||||
\(300\) | −11.4773 | + | 12.9720i | −0.662640 | + | 0.748938i | ||||
\(301\) | −15.3138 | − | 8.84144i | −0.882674 | − | 0.509612i | ||||
\(302\) | 2.64258 | − | 11.7429i | 0.152063 | − | 0.675730i | ||||
\(303\) | 1.09285 | − | 0.599236i | 0.0627826 | − | 0.0344252i | ||||
\(304\) | −30.3495 | + | 4.95395i | −1.74066 | + | 0.284129i | ||||
\(305\) | 5.50178 | − | 7.18643i | 0.315031 | − | 0.411494i | ||||
\(306\) | 1.37499 | − | 1.36503i | 0.0786028 | − | 0.0780334i | ||||
\(307\) | 8.89113i | 0.507444i | 0.967277 | + | 0.253722i | \(0.0816548\pi\) | ||||
−0.967277 | + | 0.253722i | \(0.918345\pi\) | |||||||
\(308\) | 4.27310 | − | 9.01347i | 0.243483 | − | 0.513590i | ||||
\(309\) | 5.58190 | + | 3.38891i | 0.317543 | + | 0.192788i | ||||
\(310\) | −20.0929 | + | 16.7888i | −1.14120 | + | 0.953537i | ||||
\(311\) | −2.60978 | + | 4.52027i | −0.147987 | + | 0.256321i | −0.930483 | − | 0.366334i | \(-0.880613\pi\) |
0.782496 | + | 0.622655i | \(0.213946\pi\) | |||||||
\(312\) | −1.54026 | − | 4.07832i | −0.0871999 | − | 0.230890i | ||||
\(313\) | −12.1063 | + | 6.98959i | −0.684290 | + | 0.395075i | −0.801469 | − | 0.598036i | \(-0.795948\pi\) |
0.117179 | + | 0.993111i | \(0.462615\pi\) | |||||||
\(314\) | −4.05044 | − | 12.9903i | −0.228579 | − | 0.733088i | ||||
\(315\) | −21.2543 | − | 17.8110i | −1.19754 | − | 1.00354i | ||||
\(316\) | 5.30042 | + | 7.67326i | 0.298172 | + | 0.431655i | ||||
\(317\) | 10.5425 | − | 6.08673i | 0.592127 | − | 0.341865i | −0.173811 | − | 0.984779i | \(-0.555608\pi\) |
0.765938 | + | 0.642914i | \(0.222275\pi\) | |||||||
\(318\) | −1.91672 | + | 1.98862i | −0.107484 | + | 0.111516i | ||||
\(319\) | −7.40719 | − | 4.27655i | −0.414723 | − | 0.239441i | ||||
\(320\) | 10.6327 | + | 14.3856i | 0.594388 | + | 0.804178i | ||||
\(321\) | −0.489571 | + | 22.2061i | −0.0273252 | + | 1.23942i | ||||
\(322\) | 23.0885 | + | 21.2923i | 1.28667 | + | 1.18657i | ||||
\(323\) | 3.51080 | 0.195346 | ||||||||
\(324\) | 0.130874 | − | 17.9995i | 0.00727080 | − | 0.999974i | ||||
\(325\) | −1.16104 | − | 4.29523i | −0.0644030 | − | 0.238256i | ||||
\(326\) | 16.4429 | + | 15.1637i | 0.910686 | + | 0.839837i | ||||
\(327\) | 9.21665 | + | 0.203197i | 0.509682 | + | 0.0112368i | ||||
\(328\) | −6.32368 | − | 15.6887i | −0.349167 | − | 0.866265i | ||||
\(329\) | 13.5303 | + | 7.81172i | 0.745949 | + | 0.430674i | ||||
\(330\) | 6.53380 | − | 0.990214i | 0.359674 | − | 0.0545095i | ||||
\(331\) | 4.80545 | + | 8.32328i | 0.264131 | + | 0.457489i | 0.967336 | − | 0.253499i | \(-0.0815814\pi\) |
−0.703204 | + | 0.710988i | \(0.748248\pi\) | |||||||
\(332\) | 26.1371 | − | 18.0546i | 1.43446 | − | 0.990874i | ||||
\(333\) | 12.7116 | + | 0.560771i | 0.696592 | + | 0.0307301i | ||||
\(334\) | −22.9634 | + | 7.16006i | −1.25650 | + | 0.391781i | ||||
\(335\) | −13.7234 | − | 1.79135i | −0.749787 | − | 0.0978719i | ||||
\(336\) | −22.5661 | + | 17.6355i | −1.23108 | + | 0.962093i | ||||
\(337\) | 8.01119 | + | 4.62526i | 0.436397 | + | 0.251954i | 0.702068 | − | 0.712110i | \(-0.252260\pi\) |
−0.265671 | + | 0.964064i | \(0.585593\pi\) | |||||||
\(338\) | −16.8437 | − | 3.79043i | −0.916175 | − | 0.206172i | ||||
\(339\) | 16.2620 | + | 9.87309i | 0.883233 | + | 0.536233i | ||||
\(340\) | −0.933480 | − | 1.81648i | −0.0506250 | − | 0.0985125i | ||||
\(341\) | 9.99003 | 0.540990 | ||||||||
\(342\) | 23.1471 | − | 22.9794i | 1.25165 | − | 1.24258i | ||||
\(343\) | −12.7666 | −0.689330 | ||||||||
\(344\) | −11.9798 | − | 1.69368i | −0.645909 | − | 0.0913172i | ||||
\(345\) | −3.14730 | + | 20.5679i | −0.169445 | + | 1.10734i | ||||
\(346\) | −2.38758 | + | 10.6098i | −0.128357 | + | 0.570386i | ||||
\(347\) | 11.3039 | − | 19.5789i | 0.606826 | − | 1.05105i | −0.384934 | − | 0.922944i | \(-0.625776\pi\) |
0.991760 | − | 0.128109i | \(-0.0408907\pi\) | |||||||
\(348\) | 13.5083 | + | 20.5080i | 0.724123 | + | 1.09934i | ||||
\(349\) | 2.16444 | − | 1.24964i | 0.115860 | − | 0.0668918i | −0.440950 | − | 0.897532i | \(-0.645358\pi\) |
0.556810 | + | 0.830640i | \(0.312025\pi\) | |||||||
\(350\) | −24.6681 | + | 15.6813i | −1.31856 | + | 0.838200i | ||||
\(351\) | 3.84291 | + | 2.57153i | 0.205119 | + | 0.137258i | ||||
\(352\) | 0.406164 | − | 6.81304i | 0.0216486 | − | 0.363136i | ||||
\(353\) | 5.28599 | + | 9.15560i | 0.281345 | + | 0.487303i | 0.971716 | − | 0.236152i | \(-0.0758862\pi\) |
−0.690371 | + | 0.723455i | \(0.742553\pi\) | |||||||
\(354\) | 6.48563 | + | 22.5369i | 0.344708 | + | 1.19782i | ||||
\(355\) | −27.0946 | + | 11.2579i | −1.43803 | + | 0.597507i | ||||
\(356\) | −3.11010 | + | 0.252162i | −0.164835 | + | 0.0133646i | ||||
\(357\) | 2.86704 | − | 1.57206i | 0.151740 | − | 0.0832025i | ||||
\(358\) | −21.5549 | − | 19.8780i | −1.13921 | − | 1.05058i | ||||
\(359\) | 8.03969 | 0.424319 | 0.212159 | − | 0.977235i | \(-0.431950\pi\) | ||||
0.212159 | + | 0.977235i | \(0.431950\pi\) | |||||||
\(360\) | −18.0440 | − | 5.86631i | −0.951003 | − | 0.309181i | ||||
\(361\) | 40.1021 | 2.11064 | ||||||||
\(362\) | 16.6077 | + | 15.3156i | 0.872879 | + | 0.804972i | ||||
\(363\) | 14.1308 | + | 8.57915i | 0.741674 | + | 0.450289i | ||||
\(364\) | −0.594556 | − | 7.33308i | −0.0311632 | − | 0.384358i | ||||
\(365\) | −5.13600 | − | 12.3609i | −0.268831 | − | 0.647000i | ||||
\(366\) | 9.62228 | + | 2.38935i | 0.502965 | + | 0.124893i | ||||
\(367\) | 1.31427 | + | 2.27639i | 0.0686045 | + | 0.118827i | 0.898287 | − | 0.439409i | \(-0.144812\pi\) |
−0.829683 | + | 0.558235i | \(0.811479\pi\) | |||||||
\(368\) | 20.0985 | + | 7.60637i | 1.04771 | + | 0.396509i | ||||
\(369\) | 15.1272 | + | 9.64671i | 0.787489 | + | 0.502188i | ||||
\(370\) | 4.61349 | − | 12.5938i | 0.239844 | − | 0.654721i | ||||
\(371\) | −4.03666 | + | 2.33057i | −0.209573 | + | 0.120997i | ||||
\(372\) | −25.6406 | − | 12.8554i | −1.32940 | − | 0.666519i | ||||
\(373\) | 13.5687 | − | 23.5017i | 0.702562 | − | 1.21687i | −0.265002 | − | 0.964248i | \(-0.585373\pi\) |
0.967564 | − | 0.252625i | \(-0.0812939\pi\) | |||||||
\(374\) | −0.171072 | + | 0.760201i | −0.00884594 | + | 0.0393090i | ||||
\(375\) | −17.7488 | − | 7.74461i | −0.916546 | − | 0.399930i | ||||
\(376\) | 10.5846 | + | 1.49643i | 0.545859 | + | 0.0771723i | ||||
\(377\) | −6.30836 | −0.324897 | ||||||||
\(378\) | 8.61297 | − | 29.1305i | 0.443003 | − | 1.49831i | ||||
\(379\) | 2.30468 | 0.118383 | 0.0591916 | − | 0.998247i | \(-0.481148\pi\) | ||||
0.0591916 | + | 0.998247i | \(0.481148\pi\) | |||||||
\(380\) | −15.7145 | − | 30.5793i | −0.806139 | − | 1.56869i | ||||
\(381\) | −0.270058 | + | 12.2494i | −0.0138355 | + | 0.627554i | ||||
\(382\) | −11.2805 | − | 2.53852i | −0.577162 | − | 0.129882i | ||||
\(383\) | −17.3708 | − | 10.0291i | −0.887608 | − | 0.512461i | −0.0144490 | − | 0.999896i | \(-0.504599\pi\) |
−0.873159 | + | 0.487435i | \(0.837933\pi\) | |||||||
\(384\) | −9.80961 | + | 16.9638i | −0.500595 | + | 0.865682i | ||||
\(385\) | 11.0587 | + | 1.44352i | 0.563601 | + | 0.0735685i | ||||
\(386\) | −29.6658 | + | 9.24989i | −1.50995 | + | 0.470807i | ||||
\(387\) | 11.3856 | − | 5.92041i | 0.578762 | − | 0.300951i | ||||
\(388\) | 12.2616 | + | 17.7508i | 0.622489 | + | 0.901160i | ||||
\(389\) | −10.2948 | − | 17.8311i | −0.521966 | − | 0.904071i | −0.999673 | − | 0.0255523i | \(-0.991866\pi\) |
0.477708 | − | 0.878519i | \(-0.341468\pi\) | |||||||
\(390\) | 3.80823 | − | 3.04200i | 0.192837 | − | 0.154038i | ||||
\(391\) | −2.12474 | − | 1.22672i | −0.107453 | − | 0.0620378i | ||||
\(392\) | −26.4651 | + | 10.6674i | −1.33669 | + | 0.538783i | ||||
\(393\) | −5.29052 | + | 8.71405i | −0.266871 | + | 0.439566i | ||||
\(394\) | 13.4873 | + | 12.4381i | 0.679483 | + | 0.626621i | ||||
\(395\) | −6.33828 | + | 8.27906i | −0.318914 | + | 0.416565i | ||||
\(396\) | 3.84787 | + | 6.13181i | 0.193363 | + | 0.308135i | ||||
\(397\) | −17.0109 | −0.853750 | −0.426875 | − | 0.904311i | \(-0.640386\pi\) | ||||
−0.426875 | + | 0.904311i | \(0.640386\pi\) | |||||||
\(398\) | 1.91507 | + | 1.76608i | 0.0959939 | + | 0.0885258i | ||||
\(399\) | 48.2648 | − | 26.4647i | 2.41626 | − | 1.32489i | ||||
\(400\) | −11.6434 | + | 16.2614i | −0.582169 | + | 0.813068i | ||||
\(401\) | 6.69004 | + | 3.86250i | 0.334085 | + | 0.192884i | 0.657653 | − | 0.753321i | \(-0.271549\pi\) |
−0.323568 | + | 0.946205i | \(0.604883\pi\) | |||||||
\(402\) | −4.19277 | − | 14.5694i | −0.209116 | − | 0.726656i | ||||
\(403\) | 6.38103 | − | 3.68409i | 0.317862 | − | 0.183518i | ||||
\(404\) | 1.18413 | − | 0.817953i | 0.0589126 | − | 0.0406947i | ||||
\(405\) | 19.1920 | − | 6.05532i | 0.953658 | − | 0.300891i | ||||
\(406\) | 12.3363 | + | 39.5644i | 0.612242 | + | 1.96355i | ||||
\(407\) | −4.43168 | + | 2.55863i | −0.219670 | + | 0.126827i | ||||
\(408\) | 1.41732 | − | 1.73101i | 0.0701677 | − | 0.0856977i | ||||
\(409\) | −2.37251 | + | 4.10931i | −0.117313 | + | 0.203192i | −0.918702 | − | 0.394951i | \(-0.870761\pi\) |
0.801389 | + | 0.598144i | \(0.204095\pi\) | |||||||
\(410\) | 14.5126 | − | 12.1261i | 0.716724 | − | 0.598865i | ||||
\(411\) | −7.00565 | + | 3.84136i | −0.345563 | + | 0.189481i | ||||
\(412\) | 6.81343 | + | 3.23011i | 0.335673 | + | 0.159136i | ||||
\(413\) | 39.5773i | 1.94747i | ||||||||
\(414\) | −22.0379 | + | 5.81925i | −1.08310 | + | 0.286001i | ||||
\(415\) | 28.2006 | + | 21.5898i | 1.38431 | + | 1.05980i | ||||
\(416\) | −2.25305 | − | 4.50154i | −0.110465 | − | 0.220706i | ||||
\(417\) | 11.0192 | + | 6.69002i | 0.539612 | + | 0.327612i | ||||
\(418\) | −2.87990 | + | 12.7975i | −0.140860 | + | 0.625946i | ||||
\(419\) | −20.5455 | − | 11.8619i | −1.00371 | − | 0.579493i | −0.0943672 | − | 0.995537i | \(-0.530083\pi\) |
−0.909344 | + | 0.416044i | \(0.863416\pi\) | |||||||
\(420\) | −26.5258 | − | 17.9354i | −1.29433 | − | 0.875160i | ||||
\(421\) | −21.3868 | + | 12.3476i | −1.04233 | + | 0.601787i | −0.920491 | − | 0.390763i | \(-0.872211\pi\) |
−0.121835 | + | 0.992550i | \(0.538878\pi\) | |||||||
\(422\) | 12.0827 | + | 38.7509i | 0.588175 | + | 1.88636i | ||||
\(423\) | −10.0596 | + | 5.23089i | −0.489113 | + | 0.254335i | ||||
\(424\) | −1.96555 | + | 2.51154i | −0.0954557 | + | 0.121971i | ||||
\(425\) | 1.61102 | − | 1.61813i | 0.0781460 | − | 0.0784908i | ||||
\(426\) | −23.1414 | − | 22.3048i | −1.12121 | − | 1.08067i | ||||
\(427\) | 14.4902 | + | 8.36594i | 0.701232 | + | 0.404856i | ||||
\(428\) | 2.07267 | + | 25.5638i | 0.100186 | + | 1.23567i | ||||
\(429\) | −1.85918 | − | 0.0409887i | −0.0897619 | − | 0.00197895i | ||||
\(430\) | −2.32121 | − | 13.3264i | −0.111939 | − | 0.642656i | ||||
\(431\) | 32.3678 | 1.55910 | 0.779551 | − | 0.626339i | \(-0.215448\pi\) | ||||
0.779551 | + | 0.626339i | \(0.215448\pi\) | |||||||
\(432\) | −1.98551 | − | 20.6896i | −0.0955280 | − | 0.995427i | ||||
\(433\) | − | 14.1464i | − | 0.679832i | −0.940456 | − | 0.339916i | \(-0.889601\pi\) | ||
0.940456 | − | 0.339916i | \(-0.110399\pi\) | |||||||
\(434\) | −35.5841 | − | 32.8158i | −1.70809 | − | 1.57521i | ||||
\(435\) | −17.1665 | + | 21.4273i | −0.823068 | + | 1.02736i | ||||
\(436\) | 10.6102 | − | 0.860263i | 0.508138 | − | 0.0411991i | ||||
\(437\) | −35.7686 | − | 20.6510i | −1.71105 | − | 0.987873i | ||||
\(438\) | 10.1757 | − | 10.5574i | 0.486215 | − | 0.504453i | ||||
\(439\) | −33.6039 | + | 19.4012i | −1.60383 | + | 0.925971i | −0.613117 | + | 0.789992i | \(0.710085\pi\) |
−0.990712 | + | 0.135979i | \(0.956582\pi\) | |||||||
\(440\) | 7.38714 | − | 1.91265i | 0.352168 | − | 0.0911821i | ||||
\(441\) | 16.2729 | − | 25.5179i | 0.774902 | − | 1.21514i | ||||
\(442\) | 0.171073 | + | 0.548658i | 0.00813714 | + | 0.0260970i | ||||
\(443\) | −1.67896 | − | 2.90805i | −0.0797699 | − | 0.138166i | 0.823381 | − | 0.567489i | \(-0.192085\pi\) |
−0.903151 | + | 0.429324i | \(0.858752\pi\) | |||||||
\(444\) | 14.6669 | − | 0.864273i | 0.696062 | − | 0.0410166i | ||||
\(445\) | −1.33858 | − | 3.22158i | −0.0634547 | − | 0.152717i | ||||
\(446\) | 11.6571 | + | 2.62327i | 0.551980 | + | 0.124215i | ||||
\(447\) | −1.24906 | − | 0.758336i | −0.0590786 | − | 0.0358681i | ||||
\(448\) | −23.8265 | + | 22.9336i | −1.12570 | + | 1.08351i | ||||
\(449\) | − | 9.80709i | − | 0.462825i | −0.972856 | − | 0.231413i | \(-0.925665\pi\) | ||
0.972856 | − | 0.231413i | \(-0.0743348\pi\) | |||||||
\(450\) | 0.0304221 | − | 21.2132i | 0.00143411 | − | 0.999999i | ||||
\(451\) | −7.21554 | −0.339766 | ||||||||
\(452\) | 19.8499 | + | 9.41044i | 0.933662 | + | 0.442630i | ||||
\(453\) | 7.08769 | + | 12.9261i | 0.333009 | + | 0.607321i | ||||
\(454\) | 19.1089 | + | 4.30019i | 0.896826 | + | 0.201818i | ||||
\(455\) | 7.59594 | − | 3.15614i | 0.356103 | − | 0.147962i | ||||
\(456\) | 23.8597 | − | 29.1405i | 1.11733 | − | 1.36463i | ||||
\(457\) | 29.7463 | − | 17.1740i | 1.39147 | − | 0.803366i | 0.397993 | − | 0.917388i | \(-0.369707\pi\) |
0.993478 | + | 0.114022i | \(0.0363734\pi\) | |||||||
\(458\) | −16.2188 | + | 5.05707i | −0.757854 | + | 0.236301i | ||||
\(459\) | −0.156807 | + | 2.36775i | −0.00731910 | + | 0.110517i | ||||
\(460\) | −1.17435 | + | 23.9975i | −0.0547544 | + | 1.11889i | ||||
\(461\) | 9.80985 | + | 16.9912i | 0.456890 | + | 0.791357i | 0.998795 | − | 0.0490828i | \(-0.0156298\pi\) |
−0.541904 | + | 0.840440i | \(0.682296\pi\) | |||||||
\(462\) | 3.37864 | + | 11.7404i | 0.157189 | + | 0.546214i | ||||
\(463\) | 19.2711 | − | 33.3785i | 0.895604 | − | 1.55123i | 0.0625486 | − | 0.998042i | \(-0.480077\pi\) |
0.833055 | − | 0.553190i | \(-0.186590\pi\) | |||||||
\(464\) | 17.9490 | + | 21.9523i | 0.833261 | + | 1.01911i | ||||
\(465\) | 4.85063 | − | 31.6994i | 0.224943 | − | 1.47002i | ||||
\(466\) | 11.1804 | − | 12.1236i | 0.517921 | − | 0.561613i | ||||
\(467\) | −7.98061 | −0.369299 | −0.184649 | − | 0.982804i | \(-0.559115\pi\) | ||||
−0.184649 | + | 0.982804i | \(0.559115\pi\) | |||||||
\(468\) | 4.71906 | + | 2.49763i | 0.218139 | + | 0.115453i | ||||
\(469\) | − | 25.5855i | − | 1.18143i | ||||||
\(470\) | 2.05087 | + | 11.7743i | 0.0945996 | + | 0.543110i | ||||
\(471\) | 14.2454 | + | 8.64875i | 0.656394 | + | 0.398513i | ||||
\(472\) | 10.1236 | + | 25.1160i | 0.465974 | + | 1.15606i | ||||
\(473\) | −2.58053 | + | 4.46961i | −0.118653 | + | 0.205513i | ||||
\(474\) | −11.0853 | − | 2.75263i | −0.509163 | − | 0.126433i | ||||
\(475\) | 27.1205 | − | 27.2402i | 1.24438 | − | 1.24987i | ||||
\(476\) | 3.10650 | − | 2.14586i | 0.142386 | − | 0.0983552i | ||||
\(477\) | 0.149082 | − | 3.37941i | 0.00682600 | − | 0.154733i | ||||
\(478\) | −6.19079 | − | 19.8548i | −0.283160 | − | 0.908137i | ||||
\(479\) | 14.6138 | + | 25.3118i | 0.667721 | + | 1.15653i | 0.978540 | + | 0.206057i | \(0.0660634\pi\) |
−0.310819 | + | 0.950469i | \(0.600603\pi\) | |||||||
\(480\) | −21.4212 | − | 4.59685i | −0.977741 | − | 0.209817i | ||||
\(481\) | −1.88713 | + | 3.26860i | −0.0860456 | + | 0.149035i | ||||
\(482\) | 15.0924 | + | 3.39634i | 0.687441 | + | 0.154699i | ||||
\(483\) | −38.4570 | − | 0.847850i | −1.74985 | − | 0.0385785i | ||||
\(484\) | 17.2484 | + | 8.17714i | 0.784020 | + | 0.371688i | ||||
\(485\) | −14.6625 | + | 19.1522i | −0.665792 | + | 0.869657i | ||||
\(486\) | 14.4639 | + | 16.6372i | 0.656096 | + | 0.754678i | ||||
\(487\) | −11.8573 | −0.537307 | −0.268653 | − | 0.963237i | \(-0.586579\pi\) | ||||
−0.268653 | + | 0.963237i | \(0.586579\pi\) | |||||||
\(488\) | 11.3355 | + | 1.60259i | 0.513136 | + | 0.0725460i | ||||
\(489\) | −27.3878 | − | 0.603810i | −1.23852 | − | 0.0273053i | ||||
\(490\) | −20.4554 | − | 24.4811i | −0.924079 | − | 1.10594i | ||||
\(491\) | 3.07051 | + | 1.77276i | 0.138570 | + | 0.0800036i | 0.567682 | − | 0.823248i | \(-0.307840\pi\) |
−0.429112 | + | 0.903251i | \(0.641173\pi\) | |||||||
\(492\) | 18.5196 | + | 9.28509i | 0.834927 | + | 0.418604i | ||||
\(493\) | −1.61868 | − | 2.80364i | −0.0729018 | − | 0.126270i | ||||
\(494\) | 2.87991 | + | 9.23631i | 0.129573 | + | 0.415561i | ||||
\(495\) | −5.19846 | + | 6.20343i | −0.233653 | + | 0.278824i | ||||
\(496\) | −30.9759 | − | 11.7230i | −1.39086 | − | 0.526377i | ||||
\(497\) | −27.1207 | − | 46.9744i | −1.21653 | − | 2.10709i | ||||
\(498\) | −9.37618 | + | 37.7593i | −0.420157 | + | 1.69203i | ||||
\(499\) | 9.84027 | − | 17.0438i | 0.440511 | − | 0.762987i | −0.557217 | − | 0.830367i | \(-0.688131\pi\) |
0.997727 | + | 0.0673801i | \(0.0214640\pi\) | |||||||
\(500\) | −21.3051 | − | 6.78927i | −0.952791 | − | 0.303625i | ||||
\(501\) | 15.2886 | − | 25.1820i | 0.683044 | − | 1.12505i | ||||
\(502\) | −3.21231 | − | 2.96240i | −0.143372 | − | 0.132218i | ||||
\(503\) | 0.581409i | 0.0259238i | 0.999916 | + | 0.0129619i | \(0.00412601\pi\) | ||||
−0.999916 | + | 0.0129619i | \(0.995874\pi\) | |||||||
\(504\) | 6.43610 | − | 34.4810i | 0.286687 | − | 1.53590i | ||||
\(505\) | 1.27761 | + | 0.978116i | 0.0568531 | + | 0.0435256i | ||||
\(506\) | 6.21453 | − | 6.73879i | 0.276270 | − | 0.299576i | ||||
\(507\) | 18.5408 | − | 10.1663i | 0.823424 | − | 0.451503i | ||||
\(508\) | 1.14333 | + | 14.1015i | 0.0507271 | + | 0.625654i | ||||
\(509\) | 12.4007 | − | 21.4786i | 0.549650 | − | 0.952022i | −0.448648 | − | 0.893708i | \(-0.648094\pi\) |
0.998298 | − | 0.0583136i | \(-0.0185723\pi\) | |||||||
\(510\) | 2.32913 | + | 0.911943i | 0.103136 | + | 0.0403815i | ||||
\(511\) | 21.4303 | − | 12.3728i | 0.948022 | − | 0.547341i | ||||
\(512\) | −9.25426 | + | 20.6485i | −0.408984 | + | 0.912541i | ||||
\(513\) | −2.63974 | + | 39.8596i | −0.116547 | + | 1.75984i | ||||
\(514\) | −2.57451 | − | 8.25685i | −0.113557 | − | 0.364194i | ||||
\(515\) | −1.09118 | + | 8.35941i | −0.0480831 | + | 0.368360i | ||||
\(516\) | 12.3748 | − | 8.15113i | 0.544772 | − | 0.358834i | ||||
\(517\) | 2.27999 | − | 3.94906i | 0.100274 | − | 0.173679i | ||||
\(518\) | 24.1902 | + | 5.44366i | 1.06286 | + | 0.239181i | ||||
\(519\) | −6.40376 | − | 11.6788i | −0.281094 | − | 0.512642i | ||||
\(520\) | 4.01312 | − | 3.94589i | 0.175987 | − | 0.173039i | ||||
\(521\) | − | 9.27517i | − | 0.406352i | −0.979142 | − | 0.203176i | \(-0.934874\pi\) | ||
0.979142 | − | 0.203176i | \(-0.0651264\pi\) | |||||||
\(522\) | −29.0229 | − | 7.88986i | −1.27030 | − | 0.345330i | ||||
\(523\) | − | 19.4977i | − | 0.852575i | −0.904588 | − | 0.426288i | \(-0.859821\pi\) | ||
0.904588 | − | 0.426288i | \(-0.140179\pi\) | |||||||
\(524\) | −5.04261 | + | 10.6366i | −0.220287 | + | 0.464663i | ||||
\(525\) | 9.94993 | − | 34.3893i | 0.434250 | − | 1.50087i | ||||
\(526\) | 4.08067 | − | 18.1334i | 0.177926 | − | 0.790656i | ||||
\(527\) | 3.27466 | + | 1.89062i | 0.142646 | + | 0.0823569i | ||||
\(528\) | 5.14722 | + | 6.58633i | 0.224004 | + | 0.286633i | ||||
\(529\) | 2.93148 | + | 5.07747i | 0.127456 | + | 0.220760i | ||||
\(530\) | −3.34809 | − | 1.22651i | −0.145432 | − | 0.0532760i | ||||
\(531\) | −24.2170 | − | 15.4434i | −1.05093 | − | 0.670186i | ||||
\(532\) | 52.2960 | − | 36.1242i | 2.26732 | − | 1.56618i | ||||
\(533\) | −4.60885 | + | 2.66092i | −0.199632 | + | 0.115257i | ||||
\(534\) | 2.65206 | − | 2.75154i | 0.114766 | − | 0.119071i | ||||
\(535\) | −26.4801 | + | 11.0026i | −1.14483 | + | 0.475683i | ||||
\(536\) | −6.54457 | − | 16.2367i | −0.282682 | − | 0.701320i | ||||
\(537\) | 35.9026 | + | 0.791533i | 1.54931 | + | 0.0341572i | ||||
\(538\) | 0.154969 | − | 0.168043i | 0.00668120 | − | 0.00724483i | ||||
\(539\) | 12.1718i | 0.524277i | ||||||||
\(540\) | 21.3252 | − | 9.23240i | 0.917689 | − | 0.397299i | ||||
\(541\) | 21.2995i | 0.915738i | 0.889020 | + | 0.457869i | \(0.151387\pi\) | ||||
−0.889020 | + | 0.457869i | \(0.848613\pi\) | |||||||
\(542\) | 28.5899 | + | 26.3657i | 1.22804 | + | 1.13251i | ||||
\(543\) | −27.6623 | − | 0.609862i | −1.18710 | − | 0.0261717i | ||||
\(544\) | 1.42251 | − | 2.15639i | 0.0609897 | − | 0.0924547i | ||||
\(545\) | 4.56662 | + | 10.9906i | 0.195612 | + | 0.470784i | ||||
\(546\) | 6.48767 | + | 6.25312i | 0.277647 | + | 0.267609i | ||||
\(547\) | −28.0480 | + | 16.1935i | −1.19925 | + | 0.692385i | −0.960387 | − | 0.278670i | \(-0.910107\pi\) |
−0.238859 | + | 0.971054i | \(0.576773\pi\) | |||||||
\(548\) | −7.59078 | + | 5.24344i | −0.324262 | + | 0.223989i | ||||
\(549\) | −10.7733 | + | 5.60201i | −0.459792 | + | 0.239088i | ||||
\(550\) | 4.57686 | + | 7.19982i | 0.195158 | + | 0.307001i | ||||
\(551\) | −27.2495 | − | 47.1975i | −1.16087 | − | 2.01068i | ||||
\(552\) | −24.6220 | + | 9.29895i | −1.04798 | + | 0.395790i | ||||
\(553\) | −16.6934 | − | 9.63792i | −0.709874 | − | 0.409846i | ||||
\(554\) | 40.3061 | + | 9.07033i | 1.71244 | + | 0.385361i | ||||
\(555\) | 5.96700 | + | 15.3045i | 0.253285 | + | 0.649640i | ||||
\(556\) | 13.4503 | + | 6.37653i | 0.570421 | + | 0.270425i | ||||
\(557\) | 12.5311i | 0.530958i | 0.964117 | + | 0.265479i | \(0.0855302\pi\) | ||||
−0.964117 | + | 0.265479i | \(0.914470\pi\) | |||||||
\(558\) | 33.9649 | − | 8.96866i | 1.43785 | − | 0.379674i | ||||
\(559\) | 3.80656i | 0.161000i | ||||||||
\(560\) | −32.5955 | − | 17.4529i | −1.37741 | − | 0.737518i | ||||
\(561\) | −0.458835 | − | 0.836795i | −0.0193720 | − | 0.0353295i | ||||
\(562\) | 5.08346 | − | 22.5896i | 0.214433 | − | 0.952883i | ||||
\(563\) | −9.45435 | + | 16.3754i | −0.398453 | + | 0.690141i | −0.993535 | − | 0.113524i | \(-0.963786\pi\) |
0.595082 | + | 0.803665i | \(0.297120\pi\) | |||||||
\(564\) | −10.9336 | + | 7.20181i | −0.460387 | + | 0.303251i | ||||
\(565\) | −3.17899 | + | 24.3539i | −0.133741 | + | 1.02458i | ||||
\(566\) | 3.67501 | − | 1.14588i | 0.154472 | − | 0.0481649i | ||||
\(567\) | 15.6926 | + | 33.7327i | 0.659029 | + | 1.41664i | ||||
\(568\) | −29.2266 | − | 22.8730i | −1.22632 | − | 0.959730i | ||||
\(569\) | −29.1863 | + | 16.8507i | −1.22355 | + | 0.706418i | −0.965673 | − | 0.259760i | \(-0.916357\pi\) |
−0.257878 | + | 0.966177i | \(0.583023\pi\) | |||||||
\(570\) | 39.2094 | + | 15.3520i | 1.64230 | + | 0.643024i | ||||
\(571\) | −1.18723 | + | 2.05635i | −0.0496842 | + | 0.0860555i | −0.889798 | − | 0.456355i | \(-0.849155\pi\) |
0.840114 | + | 0.542410i | \(0.182488\pi\) | |||||||
\(572\) | −2.14029 | + | 0.173532i | −0.0894900 | + | 0.00725573i | ||||
\(573\) | 12.4171 | − | 6.80860i | 0.518732 | − | 0.284434i | ||||
\(574\) | 25.7015 | + | 23.7020i | 1.07276 | + | 0.989301i | ||||
\(575\) | −25.9315 | + | 7.00953i | −1.08142 | + | 0.292318i | ||||
\(576\) | −4.73557 | − | 23.5282i | −0.197315 | − | 0.980340i | ||||
\(577\) | − | 9.24303i | − | 0.384792i | −0.981317 | − | 0.192396i | \(-0.938374\pi\) | ||
0.981317 | − | 0.192396i | \(-0.0616259\pi\) | |||||||
\(578\) | 16.0987 | − | 17.4568i | 0.669616 | − | 0.726105i | ||||
\(579\) | 19.7510 | − | 32.5320i | 0.820822 | − | 1.35198i | ||||
\(580\) | −17.1746 | + | 26.6481i | −0.713136 | + | 1.10650i | ||||
\(581\) | −32.8292 | + | 56.8619i | −1.36199 | + | 2.35903i | ||||
\(582\) | −25.6439 | − | 6.36775i | −1.06297 | − | 0.263952i | ||||
\(583\) | 0.680218 | + | 1.17817i | 0.0281717 | + | 0.0487949i | ||||
\(584\) | 10.4350 | − | 13.3336i | 0.431802 | − | 0.551748i | ||||
\(585\) | −1.03278 | + | 5.87945i | −0.0427002 | + | 0.243085i | ||||
\(586\) | −4.56409 | + | 1.42310i | −0.188541 | + | 0.0587877i | ||||
\(587\) | 11.9801 | + | 20.7501i | 0.494472 | + | 0.856450i | 0.999980 | − | 0.00637197i | \(-0.00202827\pi\) |
−0.505508 | + | 0.862822i | \(0.668695\pi\) | |||||||
\(588\) | 15.6629 | − | 31.2405i | 0.645928 | − | 1.28834i | ||||
\(589\) | 55.1268 | + | 31.8275i | 2.27146 | + | 1.31143i | ||||
\(590\) | −23.2331 | + | 19.4126i | −0.956491 | + | 0.799204i | ||||
\(591\) | −22.4650 | − | 0.495279i | −0.924086 | − | 0.0203730i | ||||
\(592\) | 16.7437 | − | 2.73308i | 0.688162 | − | 0.112329i | ||||
\(593\) | 44.1677 | 1.81375 | 0.906876 | − | 0.421398i | \(-0.138460\pi\) | ||||
0.906876 | + | 0.421398i | \(0.138460\pi\) | |||||||
\(594\) | −8.50226 | − | 2.51385i | −0.348852 | − | 0.103144i | ||||
\(595\) | 3.35176 | + | 2.56604i | 0.137409 | + | 0.105197i | ||||
\(596\) | −1.52464 | − | 0.722801i | −0.0624517 | − | 0.0296071i | ||||
\(597\) | −3.18981 | − | 0.0703248i | −0.130550 | − | 0.00287820i | ||||
\(598\) | 1.48436 | − | 6.59611i | 0.0607000 | − | 0.269735i | ||||
\(599\) | −11.9575 | + | 20.7110i | −0.488569 | + | 0.846227i | −0.999914 | − | 0.0131492i | \(-0.995814\pi\) |
0.511344 | + | 0.859376i | \(0.329148\pi\) | |||||||
\(600\) | −2.48222 | − | 24.3688i | −0.101336 | − | 0.994852i | ||||
\(601\) | −21.7387 | − | 37.6526i | −0.886741 | − | 1.53588i | −0.843705 | − | 0.536807i | \(-0.819630\pi\) |
−0.0430361 | − | 0.999074i | \(-0.513703\pi\) | |||||||
\(602\) | 23.8738 | − | 7.44392i | 0.973022 | − | 0.303392i | ||||
\(603\) | 15.6556 | + | 9.98367i | 0.637544 | + | 0.406567i | ||||
\(604\) | 9.67465 | + | 14.0057i | 0.393656 | + | 0.569885i | ||||
\(605\) | −2.76236 | + | 21.1622i | −0.112306 | + | 0.860365i | ||||
\(606\) | −0.424783 | + | 1.71066i | −0.0172556 | + | 0.0694910i | ||||
\(607\) | 8.10022 | − | 14.0300i | 0.328778 | − | 0.569460i | −0.653492 | − | 0.756933i | \(-0.726697\pi\) |
0.982270 | + | 0.187474i | \(0.0600300\pi\) | |||||||
\(608\) | 23.9471 | − | 36.3016i | 0.971183 | − | 1.47222i | ||||
\(609\) | −43.3870 | − | 26.3413i | −1.75813 | − | 1.06740i | ||||
\(610\) | 2.19637 | + | 12.6097i | 0.0889286 | + | 0.510552i | ||||
\(611\) | − | 3.36323i | − | 0.136062i | ||||||
\(612\) | 0.100853 | + | 2.73818i | 0.00407672 | + | 0.110684i | ||||
\(613\) | 22.8482 | 0.922832 | 0.461416 | − | 0.887184i | \(-0.347342\pi\) | ||||
0.461416 | + | 0.887184i | \(0.347342\pi\) | |||||||
\(614\) | −9.24342 | − | 8.52430i | −0.373034 | − | 0.344013i | ||||
\(615\) | −3.50349 | + | 22.8956i | −0.141274 | + | 0.923241i | ||||
\(616\) | 5.27379 | + | 13.0840i | 0.212487 | + | 0.527169i | ||||
\(617\) | −9.03551 | + | 15.6500i | −0.363756 | + | 0.630044i | −0.988576 | − | 0.150725i | \(-0.951839\pi\) |
0.624820 | + | 0.780769i | \(0.285172\pi\) | |||||||
\(618\) | −8.87478 | + | 2.55397i | −0.356996 | + | 0.102736i | ||||
\(619\) | −3.05994 | − | 5.29997i | −0.122989 | − | 0.213024i | 0.797956 | − | 0.602716i | \(-0.205915\pi\) |
−0.920945 | + | 0.389692i | \(0.872581\pi\) | |||||||
\(620\) | 1.80992 | − | 36.9851i | 0.0726880 | − | 1.48536i | ||||
\(621\) | 15.5250 | − | 23.2007i | 0.622998 | − | 0.931013i | ||||
\(622\) | −2.19726 | − | 7.04695i | −0.0881023 | − | 0.282557i | ||||
\(623\) | 5.58531 | − | 3.22468i | 0.223771 | − | 0.129194i | ||||
\(624\) | 5.71662 | + | 2.30878i | 0.228848 | + | 0.0924250i | ||||
\(625\) | −0.110066 | − | 24.9998i | −0.00440263 | − | 0.999990i | ||||
\(626\) | 4.34031 | − | 19.2872i | 0.173474 | − | 0.770872i | ||||
\(627\) | −7.72420 | − | 14.0869i | −0.308475 | − | 0.562578i | ||||
\(628\) | 17.3884 | + | 8.24347i | 0.693872 | + | 0.328950i | ||||
\(629\) | −1.93689 | −0.0772291 | ||||||||
\(630\) | 38.8941 | − | 5.02024i | 1.54958 | − | 0.200011i | ||||
\(631\) | 35.6755i | 1.42022i | 0.704091 | + | 0.710110i | \(0.251355\pi\) | ||||
−0.704091 | + | 0.710110i | \(0.748645\pi\) | |||||||
\(632\) | −13.0590 | − | 1.84626i | −0.519460 | − | 0.0734401i | ||||
\(633\) | −42.4948 | − | 25.7997i | −1.68902 | − | 1.02544i | ||||
\(634\) | −3.77967 | + | 16.7958i | −0.150110 | + | 0.667048i | ||||
\(635\) | −14.6070 | + | 6.06926i | −0.579661 | + | 0.240851i | ||||
\(636\) | −0.229769 | − | 3.89924i | −0.00911093 | − | 0.154615i | ||||
\(637\) | 4.48868 | + | 7.77463i | 0.177848 | + | 0.308042i | ||||
\(638\) | 11.5476 | − | 3.60058i | 0.457173 | − | 0.142548i | ||||
\(639\) | 39.3260 | + | 1.73486i | 1.55571 | + | 0.0686300i | ||||
\(640\) | −25.1496 | − | 2.73803i | −0.994126 | − | 0.108230i | ||||
\(641\) | −33.0219 | + | 19.0652i | −1.30429 | + | 0.753030i | −0.981136 | − | 0.193318i | \(-0.938075\pi\) |
−0.323150 | + | 0.946348i | \(0.604742\pi\) | |||||||
\(642\) | −22.6166 | − | 21.7989i | −0.892605 | − | 0.860334i | ||||
\(643\) | 28.1239 | + | 16.2374i | 1.10910 | + | 0.640339i | 0.938596 | − | 0.345018i | \(-0.112127\pi\) |
0.170504 | + | 0.985357i | \(0.445461\pi\) | |||||||
\(644\) | −44.2718 | + | 3.58950i | −1.74455 | + | 0.141446i | ||||
\(645\) | 12.9296 | + | 10.3585i | 0.509101 | + | 0.407865i | ||||
\(646\) | −3.36595 | + | 3.64990i | −0.132432 | + | 0.143603i | ||||
\(647\) | 21.6506i | 0.851171i | 0.904918 | + | 0.425586i | \(0.139932\pi\) | ||||
−0.904918 | + | 0.425586i | \(0.860068\pi\) | |||||||
\(648\) | 18.5872 | + | 17.3930i | 0.730175 | + | 0.683260i | ||||
\(649\) | 11.5513 | 0.453429 | ||||||||
\(650\) | 5.57855 | + | 2.91097i | 0.218809 | + | 0.114178i | ||||
\(651\) | 59.2701 | + | 1.30671i | 2.32298 | + | 0.0512140i | ||||
\(652\) | −31.5289 | + | 2.55632i | −1.23477 | + | 0.100113i | ||||
\(653\) | 14.1022 | + | 8.14188i | 0.551860 | + | 0.318616i | 0.749872 | − | 0.661583i | \(-0.230115\pi\) |
−0.198012 | + | 0.980200i | \(0.563448\pi\) | |||||||
\(654\) | −9.04763 | + | 9.38701i | −0.353791 | + | 0.367061i | ||||
\(655\) | −13.0501 | − | 1.70347i | −0.509910 | − | 0.0665600i | ||||
\(656\) | 22.3731 | + | 8.46720i | 0.873523 | + | 0.330589i | ||||
\(657\) | −0.791466 | + | 17.9410i | −0.0308780 | + | 0.699947i | ||||
\(658\) | −21.0933 | + | 6.57696i | −0.822302 | + | 0.256397i | ||||
\(659\) | 30.3033 | − | 17.4956i | 1.18045 | − | 0.681533i | 0.224331 | − | 0.974513i | \(-0.427980\pi\) |
0.956118 | + | 0.292980i | \(0.0946470\pi\) | |||||||
\(660\) | −5.23478 | + | 7.74204i | −0.203763 | + | 0.301358i | ||||
\(661\) | −14.3122 | − | 8.26317i | −0.556681 | − | 0.321400i | 0.195131 | − | 0.980777i | \(-0.437487\pi\) |
−0.751812 | + | 0.659377i | \(0.770820\pi\) | |||||||
\(662\) | −13.2602 | − | 2.98403i | −0.515374 | − | 0.115978i | ||||
\(663\) | −0.601667 | − | 0.365287i | −0.0233668 | − | 0.0141866i | ||||
\(664\) | −6.28882 | + | 44.4824i | −0.244054 | + | 1.72625i | ||||
\(665\) | 56.4247 | + | 43.1976i | 2.18806 | + | 1.67513i | ||||
\(666\) | −12.7702 | + | 12.6776i | −0.494833 | + | 0.491248i | ||||
\(667\) | 38.0853i | 1.47467i | ||||||||
\(668\) | 14.5722 | − | 30.7379i | 0.563815 | − | 1.18928i | ||||
\(669\) | −12.8316 | + | 7.03590i | −0.496100 | + | 0.272023i | ||||
\(670\) | 15.0195 | − | 12.5497i | 0.580253 | − | 0.484835i | ||||
\(671\) | 2.44175 | − | 4.22923i | 0.0942627 | − | 0.163268i | ||||
\(672\) | 3.30090 | − | 40.3681i | 0.127335 | − | 1.55723i | ||||
\(673\) | −13.9492 | + | 8.05358i | −0.537703 | + | 0.310443i | −0.744147 | − | 0.668016i | \(-0.767144\pi\) |
0.206445 | + | 0.978458i | \(0.433811\pi\) | |||||||
\(674\) | −12.4892 | + | 3.89417i | −0.481066 | + | 0.149998i | ||||
\(675\) | 17.1600 | + | 19.5073i | 0.660489 | + | 0.750836i | ||||
\(676\) | 20.0893 | − | 13.8770i | 0.772667 | − | 0.533731i | ||||
\(677\) | 15.4170 | − | 8.90103i | 0.592525 | − | 0.342094i | −0.173570 | − | 0.984821i | \(-0.555530\pi\) |
0.766095 | + | 0.642727i | \(0.222197\pi\) | |||||||
\(678\) | −25.8554 | + | 7.44063i | −0.992970 | + | 0.285755i | ||||
\(679\) | −38.6172 | − | 22.2957i | −1.48199 | − | 0.855629i | ||||
\(680\) | 2.78342 | + | 0.771071i | 0.106739 | + | 0.0295692i | ||||
\(681\) | −21.0343 | + | 11.5336i | −0.806035 | + | 0.441968i | ||||
\(682\) | −9.57786 | + | 10.3859i | −0.366755 | + | 0.397695i | ||||
\(683\) | −21.8869 | −0.837479 | −0.418739 | − | 0.908106i | \(-0.637528\pi\) | ||||
−0.418739 | + | 0.908106i | \(0.637528\pi\) | |||||||
\(684\) | 1.69779 | + | 46.0955i | 0.0649166 | + | 1.76250i | ||||
\(685\) | −8.19007 | − | 6.27015i | −0.312926 | − | 0.239570i | ||||
\(686\) | 12.2399 | − | 13.2724i | 0.467320 | − | 0.506743i | ||||
\(687\) | 10.7982 | − | 17.7858i | 0.411976 | − | 0.678569i | ||||
\(688\) | 13.2464 | − | 10.8307i | 0.505013 | − | 0.412916i | ||||
\(689\) | 0.868965 | + | 0.501697i | 0.0331049 | + | 0.0191131i | ||||
\(690\) | −18.3654 | − | 22.9913i | −0.699159 | − | 0.875265i | ||||
\(691\) | 15.7768 | + | 27.3262i | 0.600177 | + | 1.03954i | 0.992794 | + | 0.119835i | \(0.0382364\pi\) |
−0.392617 | + | 0.919702i | \(0.628430\pi\) | |||||||
\(692\) | −8.74109 | − | 12.6542i | −0.332286 | − | 0.481042i | ||||
\(693\) | −12.6157 | − | 8.04512i | −0.479230 | − | 0.305609i | ||||
\(694\) | 9.51716 | + | 30.5229i | 0.361267 | + | 1.15864i | ||||
\(695\) | −2.15409 | + | 16.5023i | −0.0817092 | + | 0.625966i | ||||
\(696\) | −34.2716 | − | 5.61832i | −1.29906 | − | 0.212962i | ||||
\(697\) | −2.36520 | − | 1.36555i | −0.0895883 | − | 0.0517238i | ||||
\(698\) | −0.775989 | + | 3.44829i | −0.0293716 | + | 0.130520i | ||||
\(699\) | −0.445198 | + | 20.1934i | −0.0168389 | + | 0.763785i | ||||
\(700\) | 7.34771 | − | 40.6798i | 0.277717 | − | 1.53755i | ||||
\(701\) | 1.72727 | 0.0652381 | 0.0326191 | − | 0.999468i | \(-0.489615\pi\) | ||||
0.0326191 | + | 0.999468i | \(0.489615\pi\) | |||||||
\(702\) | −6.35778 | + | 1.52974i | −0.239959 | + | 0.0577363i | ||||
\(703\) | −32.6064 | −1.22977 | ||||||||
\(704\) | 6.69357 | + | 6.95420i | 0.252274 | + | 0.262096i | ||||
\(705\) | −11.4237 | − | 9.15209i | −0.430242 | − | 0.344688i | ||||
\(706\) | −14.5863 | − | 3.28243i | −0.548961 | − | 0.123536i | ||||
\(707\) | −1.48731 | + | 2.57610i | −0.0559361 | + | 0.0968841i | ||||
\(708\) | −29.6479 | − | 14.8645i | −1.11424 | − | 0.558641i | ||||
\(709\) | 20.3477 | − | 11.7477i | 0.764174 | − | 0.441196i | −0.0666185 | − | 0.997779i | \(-0.521221\pi\) |
0.830792 | + | 0.556583i | \(0.187888\pi\) | |||||||
\(710\) | 14.2728 | − | 38.9615i | 0.535647 | − | 1.46220i | ||||
\(711\) | 12.4113 | − | 6.45375i | 0.465459 | − | 0.242034i | ||||
\(712\) | 2.71963 | − | 3.47508i | 0.101922 | − | 0.130234i | ||||
\(713\) | −22.2419 | − | 38.5240i | −0.832964 | − | 1.44274i | ||||
\(714\) | −1.11440 | + | 4.48784i | −0.0417052 | + | 0.167953i | ||||
\(715\) | −0.921175 | − | 2.21701i | −0.0344500 | − | 0.0829114i | ||||
\(716\) | 41.3312 | − | 3.35107i | 1.54462 | − | 0.125236i | ||||
\(717\) | 21.7731 | + | 13.2190i | 0.813130 | + | 0.493672i | ||||
\(718\) | −7.70799 | + | 8.35824i | −0.287660 | + | 0.311927i | ||||
\(719\) | 23.8754 | 0.890401 | 0.445200 | − | 0.895431i | \(-0.353132\pi\) | ||||
0.445200 | + | 0.895431i | \(0.353132\pi\) | |||||||
\(720\) | 23.3983 | − | 13.1347i | 0.872003 | − | 0.489500i | ||||
\(721\) | −15.5851 | −0.580419 | ||||||||
\(722\) | −38.4476 | + | 41.6910i | −1.43087 | + | 1.55158i | ||||
\(723\) | −16.6131 | + | 9.10935i | −0.617847 | + | 0.338780i | ||||
\(724\) | −31.8449 | + | 2.58194i | −1.18351 | + | 0.0959571i | ||||
\(725\) | −34.2575 | − | 9.09850i | −1.27229 | − | 0.337910i | ||||
\(726\) | −22.4669 | + | 6.46548i | −0.833823 | + | 0.239956i | ||||
\(727\) | −2.01392 | − | 3.48822i | −0.0746923 | − | 0.129371i | 0.826260 | − | 0.563289i | \(-0.190464\pi\) |
−0.900952 | + | 0.433918i | \(0.857131\pi\) | |||||||
\(728\) | 8.19366 | + | 6.41242i | 0.303677 | + | 0.237660i | ||||
\(729\) | −26.7642 | − | 3.56058i | −0.991267 | − | 0.131874i | ||||
\(730\) | 17.7748 | + | 6.51143i | 0.657874 | + | 0.240999i | ||||
\(731\) | −1.69176 | + | 0.976737i | −0.0625719 | + | 0.0361259i | ||||
\(732\) | −11.7093 | + | 7.71276i | −0.432788 | + | 0.285072i | ||||
\(733\) | −6.93196 | + | 12.0065i | −0.256038 | + | 0.443470i | −0.965177 | − | 0.261598i | \(-0.915750\pi\) |
0.709139 | + | 0.705069i | \(0.249084\pi\) | |||||||
\(734\) | −3.62663 | − | 0.816122i | −0.133861 | − | 0.0301236i | ||||
\(735\) | 38.6224 | + | 5.91000i | 1.42461 | + | 0.217994i | ||||
\(736\) | −27.1770 | + | 13.6023i | −1.00176 | + | 0.501388i | ||||
\(737\) | −7.46758 | −0.275072 | ||||||||
\(738\) | −24.5320 | + | 6.47783i | −0.903035 | + | 0.238452i | ||||
\(739\) | 4.10993 | 0.151186 | 0.0755932 | − | 0.997139i | \(-0.475915\pi\) | ||||
0.0755932 | + | 0.997139i | \(0.475915\pi\) | |||||||
\(740\) | 8.66966 | + | 16.8705i | 0.318703 | + | 0.620172i | ||||
\(741\) | −10.1287 | − | 6.14938i | −0.372087 | − | 0.225903i | ||||
\(742\) | 1.44721 | − | 6.43102i | 0.0531287 | − | 0.236090i | ||||
\(743\) | 16.9463 | + | 9.78398i | 0.621701 | + | 0.358939i | 0.777531 | − | 0.628845i | \(-0.216472\pi\) |
−0.155830 | + | 0.987784i | \(0.549805\pi\) | |||||||
\(744\) | 37.9475 | − | 14.3316i | 1.39122 | − | 0.525422i | ||||
\(745\) | 0.244173 | − | 1.87059i | 0.00894581 | − | 0.0685330i | ||||
\(746\) | 11.4240 | + | 36.6384i | 0.418262 | + | 1.34143i | ||||
\(747\) | −21.9831 | − | 42.2760i | −0.804321 | − | 1.54680i | ||||
\(748\) | −0.626307 | − | 0.906687i | −0.0229000 | − | 0.0331518i | ||||
\(749\) | −26.5056 | − | 45.9090i | −0.968493 | − | 1.67748i | ||||
\(750\) | 25.0680 | − | 11.0270i | 0.915355 | − | 0.402649i | ||||
\(751\) | 24.4514 | + | 14.1170i | 0.892243 | + | 0.515137i | 0.874676 | − | 0.484709i | \(-0.161074\pi\) |
0.0175676 | + | 0.999846i | \(0.494408\pi\) | |||||||
\(752\) | −11.7036 | + | 9.56929i | −0.426787 | + | 0.348956i | ||||
\(753\) | 5.35053 | + | 0.117962i | 0.194984 | + | 0.00429876i | ||||
\(754\) | 6.04809 | − | 6.55831i | 0.220259 | − | 0.238840i | ||||
\(755\) | −11.5690 | + | 15.1115i | −0.421040 | + | 0.549963i | ||||
\(756\) | 22.0271 | + | 36.8829i | 0.801118 | + | 1.34142i | ||||
\(757\) | 48.4789 | 1.76199 | 0.880997 | − | 0.473121i | \(-0.156873\pi\) | ||||
0.880997 | + | 0.473121i | \(0.156873\pi\) | |||||||
\(758\) | −2.20959 | + | 2.39599i | −0.0802559 | + | 0.0870263i | ||||
\(759\) | −0.247460 | + | 11.2244i | −0.00898223 | + | 0.407418i | ||||
\(760\) | 46.8571 | + | 12.9805i | 1.69969 | + | 0.470852i | ||||
\(761\) | 27.0679 | + | 15.6276i | 0.981209 | + | 0.566501i | 0.902635 | − | 0.430407i | \(-0.141630\pi\) |
0.0785741 | + | 0.996908i | \(0.474963\pi\) | |||||||
\(762\) | −12.4758 | − | 12.0247i | −0.451950 | − | 0.435611i | ||||
\(763\) | −19.0545 | + | 11.0011i | −0.689820 | + | 0.398268i | ||||
\(764\) | 13.4542 | − | 9.29370i | 0.486757 | − | 0.336234i | ||||
\(765\) | −2.87802 | + | 1.04963i | −0.104055 | + | 0.0379493i | ||||
\(766\) | 27.0806 | − | 8.44382i | 0.978461 | − | 0.305088i | ||||
\(767\) | 7.37829 | − | 4.25986i | 0.266415 | − | 0.153815i | ||||
\(768\) | −8.23108 | − | 26.4622i | −0.297013 | − | 0.954873i | ||||
\(769\) | 14.6805 | − | 25.4274i | 0.529394 | − | 0.916937i | −0.470018 | − | 0.882657i | \(-0.655753\pi\) |
0.999412 | − | 0.0342805i | \(-0.0109139\pi\) | |||||||
\(770\) | −12.1031 | + | 10.1129i | −0.436166 | + | 0.364442i | ||||
\(771\) | 9.05459 | + | 5.49726i | 0.326093 | + | 0.197979i | ||||
\(772\) | 18.8254 | − | 39.7094i | 0.677542 | − | 1.42917i | ||||
\(773\) | − | 30.2770i | − | 1.08899i | −0.838764 | − | 0.544495i | \(-0.816721\pi\) | ||
0.838764 | − | 0.544495i | \(-0.183279\pi\) | |||||||
\(774\) | −4.76086 | + | 17.5129i | −0.171126 | + | 0.629487i | ||||
\(775\) | 39.9657 | − | 10.8031i | 1.43561 | − | 0.388060i | ||||
\(776\) | −30.2098 | − | 4.27100i | −1.08447 | − | 0.153320i | ||||
\(777\) | −26.6275 | + | 14.6005i | −0.955256 | + | 0.523790i | ||||
\(778\) | 28.4076 | + | 6.39273i | 1.01846 | + | 0.229190i | ||||
\(779\) | −39.8167 | − | 22.9882i | −1.42658 | − | 0.823636i | ||||
\(780\) | −0.488579 | + | 6.87561i | −0.0174939 | + | 0.246186i | ||||
\(781\) | −13.7103 | + | 7.91565i | −0.490593 | + | 0.283244i | ||||
\(782\) | 3.31240 | − | 1.03282i | 0.118451 | − | 0.0369335i | ||||
\(783\) | 33.0480 | − | 16.2696i | 1.18104 | − | 0.581427i | ||||
\(784\) | 14.2832 | − | 37.7410i | 0.510115 | − | 1.34789i | ||||
\(785\) | −2.78477 | + | 21.3338i | −0.0993927 | + | 0.761438i | ||||
\(786\) | −3.98708 | − | 13.8547i | −0.142214 | − | 0.494180i | ||||
\(787\) | 26.0511 | + | 15.0406i | 0.928620 | + | 0.536139i | 0.886375 | − | 0.462968i | \(-0.153216\pi\) |
0.0422450 | + | 0.999107i | \(0.486549\pi\) | |||||||
\(788\) | −25.8618 | + | 2.09684i | −0.921287 | + | 0.0746967i | ||||
\(789\) | 10.9448 | + | 19.9605i | 0.389646 | + | 0.710612i | ||||
\(790\) | −2.53032 | − | 14.5269i | −0.0900246 | − | 0.516844i | ||||
\(791\) | −45.4049 | −1.61441 | ||||||||
\(792\) | −10.0639 | − | 1.87849i | −0.357604 | − | 0.0667493i | ||||
\(793\) | − | 3.60184i | − | 0.127905i | ||||||
\(794\) | 16.3090 | − | 17.6849i | 0.578785 | − | 0.627612i | ||||
\(795\) | 4.06874 | − | 1.58634i | 0.144303 | − | 0.0562617i | ||||
\(796\) | −3.67212 | + | 0.297730i | −0.130155 | + | 0.0105528i | ||||
\(797\) | 33.9934 | + | 19.6261i | 1.20411 | + | 0.695193i | 0.961466 | − | 0.274923i | \(-0.0886523\pi\) |
0.242643 | + | 0.970116i | \(0.421986\pi\) | |||||||
\(798\) | −18.7601 | + | 75.5499i | −0.664102 | + | 2.67444i | ||||
\(799\) | 1.49473 | − | 0.862981i | 0.0528796 | − | 0.0305301i | ||||
\(800\) | −5.74267 | − | 27.6952i | −0.203034 | − | 0.979172i | ||||
\(801\) | −0.206277 | + | 4.67591i | −0.00728843 | + | 0.165215i | ||||
\(802\) | −10.4296 | + | 3.25197i | −0.368281 | + | 0.114831i | ||||
\(803\) | −3.61122 | − | 6.25482i | −0.127437 | − | 0.220728i | ||||
\(804\) | 19.1665 | + | 9.60942i | 0.675949 | + | 0.338898i | ||||
\(805\) | −19.0545 | − | 45.8588i | −0.671582 | − | 1.61631i | ||||
\(806\) | −2.28770 | + | 10.1660i | −0.0805809 | + | 0.358080i | ||||
\(807\) | −0.00617082 | + | 0.279898i | −0.000217223 | + | 0.00985286i | ||||
\(808\) | −0.284912 | + | 2.01525i | −0.0100232 | + | 0.0708963i | ||||
\(809\) | − | 43.7249i | − | 1.53729i | −0.639678 | − | 0.768643i | \(-0.720932\pi\) | ||
0.639678 | − | 0.768643i | \(-0.279068\pi\) | |||||||
\(810\) | −12.1049 | + | 25.7579i | −0.425324 | + | 0.905041i | ||||
\(811\) | −14.5261 | −0.510079 | −0.255040 | − | 0.966931i | \(-0.582089\pi\) | ||||
−0.255040 | + | 0.966931i | \(0.582089\pi\) | |||||||
\(812\) | −52.9594 | − | 25.1070i | −1.85851 | − | 0.881082i | ||||
\(813\) | −47.6204 | − | 1.04987i | −1.67012 | − | 0.0368206i | ||||
\(814\) | 1.58883 | − | 7.06034i | 0.0556884 | − | 0.247465i | ||||
\(815\) | −13.5700 | − | 32.6591i | −0.475335 | − | 1.14400i | ||||
\(816\) | 0.440751 | + | 3.13307i | 0.0154294 | + | 0.109679i | ||||
\(817\) | −28.4797 | + | 16.4428i | −0.996378 | + | 0.575259i | ||||
\(818\) | −1.99750 | − | 6.40628i | −0.0698410 | − | 0.223990i | ||||
\(819\) | −11.0250 | − | 0.486366i | −0.385245 | − | 0.0169950i | ||||
\(820\) | −1.30726 | + | 26.7134i | −0.0456513 | + | 0.932871i | ||||
\(821\) | −13.5251 | − | 23.4262i | −0.472031 | − | 0.817581i | 0.527457 | − | 0.849582i | \(-0.323145\pi\) |
−0.999488 | + | 0.0320006i | \(0.989812\pi\) | |||||||
\(822\) | 2.72304 | − | 10.9661i | 0.0949770 | − | 0.382487i | ||||
\(823\) | 0.196705 | − | 0.340703i | 0.00685670 | − | 0.0118761i | −0.862577 | − | 0.505926i | \(-0.831151\pi\) |
0.869433 | + | 0.494050i | \(0.164484\pi\) | |||||||
\(824\) | −9.89041 | + | 3.98655i | −0.344549 | + | 0.138878i | ||||
\(825\) | −10.0371 | − | 2.90406i | −0.349448 | − | 0.101107i | ||||
\(826\) | −41.1454 | − | 37.9444i | −1.43163 | − | 1.32025i | ||||
\(827\) | −19.0848 | −0.663645 | −0.331822 | − | 0.943342i | \(-0.607663\pi\) | ||||
−0.331822 | + | 0.943342i | \(0.607663\pi\) | |||||||
\(828\) | 15.0789 | − | 28.4903i | 0.524026 | − | 0.990105i | ||||
\(829\) | 10.8029i | 0.375201i | 0.982245 | + | 0.187601i | \(0.0600711\pi\) | ||||
−0.982245 | + | 0.187601i | \(0.939929\pi\) | |||||||
\(830\) | −49.4824 | + | 8.61891i | −1.71756 | + | 0.299167i | ||||
\(831\) | −44.3672 | + | 24.3276i | −1.53908 | + | 0.843916i | ||||
\(832\) | 6.84000 | + | 1.97349i | 0.237134 | + | 0.0684186i | ||||
\(833\) | −2.30353 | + | 3.98983i | −0.0798126 | + | 0.138239i | ||||
\(834\) | −17.5197 | + | 5.04178i | −0.606656 | + | 0.174583i | ||||
\(835\) | 37.7124 | + | 4.92271i | 1.30509 | + | 0.170357i | ||||
\(836\) | −10.5435 | − | 15.2635i | −0.364654 | − | 0.527899i | ||||
\(837\) | −23.9273 | + | 35.7570i | −0.827047 | + | 1.23594i | ||||
\(838\) | 32.0297 | − | 9.98698i | 1.10645 | − | 0.344994i | ||||
\(839\) | 23.2381 | + | 40.2495i | 0.802267 | + | 1.38957i | 0.918121 | + | 0.396301i | \(0.129706\pi\) |
−0.115854 | + | 0.993266i | \(0.536960\pi\) | |||||||
\(840\) | 44.0775 | − | 10.3814i | 1.52082 | − | 0.358191i | ||||
\(841\) | −10.6272 | + | 18.4069i | −0.366455 | + | 0.634719i | ||||
\(842\) | 7.66750 | − | 34.0723i | 0.264239 | − | 1.17421i | ||||
\(843\) | 13.6344 | + | 24.8656i | 0.469594 | + | 0.856416i | ||||
\(844\) | −51.8704 | − | 24.5907i | −1.78545 | − | 0.846447i | ||||
\(845\) | 21.6754 | + | 16.5942i | 0.745656 | + | 0.570859i | ||||
\(846\) | 4.20639 | − | 15.4732i | 0.144619 | − | 0.531980i | ||||
\(847\) | −39.4543 | −1.35566 | ||||||||
\(848\) | −0.726595 | − | 4.45135i | −0.0249514 | − | 0.152860i | ||||
\(849\) | −2.44676 | + | 4.03007i | −0.0839724 | + | 0.138312i | ||||
\(850\) | 0.137689 | + | 3.22622i | 0.00472269 | + | 0.110658i | ||||
\(851\) | 19.7334 | + | 11.3931i | 0.676454 | + | 0.390551i | ||||
\(852\) | 45.3752 | − | 2.67380i | 1.55453 | − | 0.0916030i | ||||
\(853\) | −9.47104 | − | 16.4043i | −0.324282 | − | 0.561673i | 0.657085 | − | 0.753817i | \(-0.271789\pi\) |
−0.981367 | + | 0.192144i | \(0.938456\pi\) | |||||||
\(854\) | −22.5898 | + | 7.04358i | −0.773008 | + | 0.241026i | ||||
\(855\) | −48.4497 | + | 17.6698i | −1.65694 | + | 0.604294i | ||||
\(856\) | −28.5638 | − | 22.3543i | −0.976290 | − | 0.764053i | ||||
\(857\) | −5.40774 | − | 9.36649i | −0.184725 | − | 0.319953i | 0.758759 | − | 0.651372i | \(-0.225806\pi\) |
−0.943484 | + | 0.331419i | \(0.892473\pi\) | |||||||
\(858\) | 1.82508 | − | 1.89354i | 0.0623073 | − | 0.0646445i | ||||
\(859\) | −3.97542 | + | 6.88562i | −0.135639 | + | 0.234934i | −0.925842 | − | 0.377912i | \(-0.876642\pi\) |
0.790202 | + | 0.612846i | \(0.209976\pi\) | |||||||
\(860\) | 16.0799 | + | 10.3634i | 0.548319 | + | 0.353389i | ||||
\(861\) | −42.8093 | − | 0.943803i | −1.45894 | − | 0.0321647i | ||||
\(862\) | −31.0324 | + | 33.6503i | −1.05697 | + | 1.14613i | ||||
\(863\) | − | 13.5985i | − | 0.462898i | −0.972847 | − | 0.231449i | \(-0.925653\pi\) | ||
0.972847 | − | 0.231449i | \(-0.0743467\pi\) | |||||||
\(864\) | 23.4129 | + | 17.7718i | 0.796523 | + | 0.604608i | ||||
\(865\) | 10.4527 | − | 13.6533i | 0.355401 | − | 0.464225i | ||||
\(866\) | 14.7069 | + | 13.5627i | 0.499761 | + | 0.460881i | ||||
\(867\) | −0.641043 | + | 29.0766i | −0.0217709 | + | 0.987492i | ||||
\(868\) | 68.2320 | − | 5.53215i | 2.31594 | − | 0.187773i | ||||
\(869\) | −2.81300 | + | 4.87225i | −0.0954244 | + | 0.165280i | ||||
\(870\) | −5.81808 | − | 38.3899i | −0.197252 | − | 1.30154i | ||||
\(871\) | −4.76984 | + | 2.75387i | −0.161620 | + | 0.0933113i | ||||
\(872\) | −9.27813 | + | 11.8554i | −0.314197 | + | 0.401475i | ||||
\(873\) | 28.7113 | − | 14.9296i | 0.971731 | − | 0.505292i | ||||
\(874\) | 55.7622 | − | 17.3868i | 1.88618 | − | 0.588119i | ||||
\(875\) | 45.8018 | − | 6.18384i | 1.54838 | − | 0.209052i | ||||
\(876\) | 1.21983 | + | 20.7008i | 0.0412141 | + | 0.699414i | ||||
\(877\) | −20.9661 | + | 36.3143i | −0.707974 | + | 1.22625i | 0.257633 | + | 0.966243i | \(0.417057\pi\) |
−0.965607 | + | 0.260005i | \(0.916276\pi\) | |||||||
\(878\) | 12.0476 | − | 53.5362i | 0.406585 | − | 1.80676i | ||||
\(879\) | 3.03869 | − | 5.00505i | 0.102493 | − | 0.168816i | ||||
\(880\) | −5.09393 | + | 9.51357i | −0.171716 | + | 0.320702i | ||||
\(881\) | 11.7570i | 0.396105i | 0.980191 | + | 0.198052i | \(0.0634616\pi\) | ||||
−0.980191 | + | 0.198052i | \(0.936538\pi\) | |||||||
\(882\) | 10.9274 | + | 41.3828i | 0.367944 | + | 1.39343i | ||||
\(883\) | − | 0.183537i | − | 0.00617650i | −0.999995 | − | 0.00308825i | \(-0.999017\pi\) | ||
0.999995 | − | 0.00308825i | \(-0.000983022\pi\) | |||||||
\(884\) | −0.734412 | − | 0.348170i | −0.0247010 | − | 0.0117102i | ||||
\(885\) | 5.60872 | − | 36.6535i | 0.188535 | − | 1.23209i | ||||
\(886\) | 4.63296 | + | 1.04258i | 0.155647 | + | 0.0350262i | ||||
\(887\) | −36.9942 | − | 21.3586i | −1.24214 | − | 0.717153i | −0.272614 | − | 0.962123i | \(-0.587888\pi\) |
−0.969530 | + | 0.244971i | \(0.921222\pi\) | |||||||
\(888\) | −13.1633 | + | 16.0767i | −0.441731 | + | 0.539498i | ||||
\(889\) | −14.6211 | − | 25.3244i | −0.490374 | − | 0.849353i | ||||
\(890\) | 4.63257 | + | 1.69705i | 0.155284 | + | 0.0568852i | ||||
\(891\) | 9.84549 | − | 4.58017i | 0.329836 | − | 0.153442i | ||||
\(892\) | −13.9034 | + | 9.60395i | −0.465519 | + | 0.321564i | ||||
\(893\) | 25.1628 | − | 14.5277i | 0.842041 | − | 0.486152i | ||||
\(894\) | 1.98591 | − | 0.571502i | 0.0664188 | − | 0.0191139i | ||||
\(895\) | 17.7888 | + | 42.8127i | 0.594615 | + | 1.43107i | ||||
\(896\) | −0.998731 | − | 46.7580i | −0.0333653 | − | 1.56207i | ||||
\(897\) | 3.98122 | + | 7.26070i | 0.132929 | + | 0.242428i | ||||
\(898\) | 10.1957 | + | 9.40248i | 0.340234 | + | 0.313765i | ||||
\(899\) | − | 58.6973i | − | 1.95766i | ||||||
\(900\) | 22.0245 | + | 20.3696i | 0.734151 | + | 0.678987i | ||||
\(901\) | 0.514928i | 0.0171547i | ||||||||
\(902\) | 6.91784 | − | 7.50143i | 0.230339 | − | 0.249770i | ||||
\(903\) | −15.8947 | + | 26.1803i | −0.528944 | + | 0.871227i | ||||
\(904\) | −28.8143 | + | 11.6142i | −0.958348 | + | 0.386283i | ||||
\(905\) | −13.7060 | − | 32.9864i | −0.455602 | − | 1.09651i | ||||
\(906\) | −20.2335 | − | 5.02428i | −0.672214 | − | 0.166920i | ||||
\(907\) | −30.5830 | + | 17.6571i | −1.01549 | + | 0.586295i | −0.912795 | − | 0.408418i | \(-0.866081\pi\) |
−0.102697 | + | 0.994713i | \(0.532747\pi\) | |||||||
\(908\) | −22.7911 | + | 15.7433i | −0.756349 | + | 0.522459i | ||||
\(909\) | −0.995934 | − | 1.91529i | −0.0330330 | − | 0.0635261i | ||||
\(910\) | −4.00135 | + | 10.9228i | −0.132644 | + | 0.362088i | ||||
\(911\) | 16.5261 | + | 28.6241i | 0.547535 | + | 0.948359i | 0.998443 | + | 0.0557881i | \(0.0177671\pi\) |
−0.450907 | + | 0.892571i | \(0.648900\pi\) | |||||||
\(912\) | 7.41977 | + | 52.7432i | 0.245693 | + | 1.74650i | ||||
\(913\) | 16.5962 | + | 9.58180i | 0.549253 | + | 0.317111i | ||||
\(914\) | −10.6645 | + | 47.3903i | −0.352751 | + | 1.56753i | ||||
\(915\) | −12.2342 | − | 9.80141i | −0.404450 | − | 0.324025i | ||||
\(916\) | 10.2922 | − | 21.7098i | 0.340063 | − | 0.717313i | ||||
\(917\) | − | 24.3303i | − | 0.803458i | ||||||
\(918\) | −2.31123 | − | 2.43308i | −0.0762819 | − | 0.0803037i | ||||
\(919\) | − | 36.3045i | − | 1.19758i | −0.800908 | − | 0.598788i | \(-0.795649\pi\) | ||
0.800908 | − | 0.598788i | \(-0.204351\pi\) | |||||||
\(920\) | −23.8224 | − | 24.2283i | −0.785402 | − | 0.798783i | ||||
\(921\) | 15.3962 | + | 0.339434i | 0.507320 | + | 0.0111847i | ||||
\(922\) | −27.0695 | − | 6.09161i | −0.891487 | − | 0.200616i | ||||
\(923\) | −5.83821 | + | 10.1121i | −0.192167 | + | 0.332843i | ||||
\(924\) | −15.4449 | − | 7.74354i | −0.508099 | − | 0.254744i | ||||
\(925\) | −14.9623 | + | 15.0283i | −0.491958 | + | 0.494128i | ||||
\(926\) | 16.2250 | + | 52.0361i | 0.533187 | + | 1.71001i | ||||
\(927\) | 6.08144 | − | 9.53641i | 0.199741 | − | 0.313217i | ||||
\(928\) | −40.0306 | − | 2.38645i | −1.31407 | − | 0.0783392i | ||||
\(929\) | 37.6036 | − | 21.7104i | 1.23373 | − | 0.712296i | 0.265927 | − | 0.963993i | \(-0.414322\pi\) |
0.967806 | + | 0.251697i | \(0.0809886\pi\) | |||||||
\(930\) | 28.3048 | + | 35.4343i | 0.928152 | + | 1.16194i | ||||
\(931\) | −38.7785 | + | 67.1663i | −1.27091 | + | 2.20129i | ||||
\(932\) | 1.88481 | + | 23.2467i | 0.0617391 | + | 0.761472i | ||||
\(933\) | 7.72780 | + | 4.69174i | 0.252997 | + | 0.153601i | ||||
\(934\) | 7.65135 | − | 8.29681i | 0.250360 | − | 0.271480i | ||||
\(935\) | 0.748943 | − | 0.978269i | 0.0244931 | − | 0.0319928i | ||||
\(936\) | −7.12095 | + | 2.51146i | −0.232755 | + | 0.0820896i | ||||
\(937\) | − | 38.5877i | − | 1.26060i | −0.776350 | − | 0.630302i | \(-0.782931\pi\) | ||
0.776350 | − | 0.630302i | \(-0.217069\pi\) | |||||||
\(938\) | 26.5992 | + | 24.5299i | 0.868496 | + | 0.800929i | ||||
\(939\) | 11.6412 | + | 21.2305i | 0.379896 | + | 0.692832i | ||||
\(940\) | −14.2071 | − | 9.15643i | −0.463385 | − | 0.298650i | ||||
\(941\) | 20.9873 | − | 36.3511i | 0.684167 | − | 1.18501i | −0.289531 | − | 0.957169i | \(-0.593499\pi\) |
0.973698 | − | 0.227843i | \(-0.0731674\pi\) | |||||||
\(942\) | −22.6491 | + | 6.51793i | −0.737948 | + | 0.212366i | ||||
\(943\) | 16.0647 | + | 27.8249i | 0.523139 | + | 0.906104i | ||||
\(944\) | −35.8170 | − | 13.5551i | −1.16574 | − | 0.441181i | ||||
\(945\) | −31.6535 | + | 36.1245i | −1.02969 | + | 1.17513i | ||||
\(946\) | −2.17264 | − | 6.96798i | −0.0706387 | − | 0.226549i | ||||
\(947\) | −10.3249 | − | 17.8832i | −0.335514 | − | 0.581126i | 0.648070 | − | 0.761581i | \(-0.275576\pi\) |
−0.983583 | + | 0.180454i | \(0.942243\pi\) | |||||||
\(948\) | 13.4896 | − | 8.88542i | 0.438122 | − | 0.288585i | ||||
\(949\) | −4.61327 | − | 2.66347i | −0.149753 | − | 0.0864599i | ||||
\(950\) | 2.31790 | + | 54.3114i | 0.0752027 | + | 1.76210i | ||||
\(951\) | −10.1375 | − | 18.4881i | −0.328730 | − | 0.599518i | ||||
\(952\) | −0.747451 | + | 5.28691i | −0.0242250 | + | 0.171350i | ||||
\(953\) | 41.6445 | 1.34900 | 0.674499 | − | 0.738276i | \(-0.264360\pi\) | ||||
0.674499 | + | 0.738276i | \(0.264360\pi\) | |||||||
\(954\) | 3.37038 | + | 3.39497i | 0.109120 | + | 0.109916i | ||||
\(955\) | 14.5164 | + | 11.1135i | 0.469741 | + | 0.359624i | ||||
\(956\) | 26.5769 | + | 12.5995i | 0.859557 | + | 0.407498i | ||||
\(957\) | −7.68818 | + | 12.6633i | −0.248523 | + | 0.409345i | ||||
\(958\) | −40.3256 | − | 9.07470i | −1.30286 | − | 0.293190i | ||||
\(959\) | 9.53431 | − | 16.5139i | 0.307879 | − | 0.533262i | ||||
\(960\) | 25.3164 | − | 17.8628i | 0.817084 | − | 0.576519i | ||||
\(961\) | 18.7793 | + | 32.5266i | 0.605783 | + | 1.04925i | ||||
\(962\) | −1.58884 | − | 5.09564i | −0.0512262 | − | 0.164290i | ||||
\(963\) | 38.4341 | + | 1.69551i | 1.23852 | + | 0.0546371i | ||||
\(964\) | −18.0007 | + | 12.4342i | −0.579762 | + | 0.400479i | ||||
\(965\) | 48.7196 | + | 6.35952i | 1.56834 | + | 0.204720i | ||||
\(966\) | 37.7518 | − | 39.1679i | 1.21464 | − | 1.26021i | ||||
\(967\) | −24.3309 | + | 42.1424i | −0.782430 | + | 1.35521i | 0.148093 | + | 0.988973i | \(0.452687\pi\) |
−0.930523 | + | 0.366234i | \(0.880647\pi\) | |||||||
\(968\) | −25.0379 | + | 10.0921i | −0.804750 | + | 0.324372i | ||||
\(969\) | 0.134031 | − | 6.07940i | 0.00430569 | − | 0.195299i | ||||
\(970\) | −5.85345 | − | 33.6055i | −0.187943 | − | 1.07901i | ||||
\(971\) | − | 53.8214i | − | 1.72721i | −0.504169 | − | 0.863605i | \(-0.668201\pi\) | ||
0.504169 | − | 0.863605i | \(-0.331799\pi\) | |||||||
\(972\) | −31.1635 | − | 0.913789i | −0.999570 | − | 0.0293098i | ||||
\(973\) | −30.7664 | −0.986327 | ||||||||
\(974\) | 11.3681 | − | 12.3271i | 0.364258 | − | 0.394987i | ||||
\(975\) | −7.48207 | + | 1.84652i | −0.239618 | + | 0.0591359i | ||||
\(976\) | −12.5340 | + | 10.2482i | −0.401202 | + | 0.328037i | ||||
\(977\) | 10.2315 | − | 17.7215i | 0.327336 | − | 0.566962i | −0.654646 | − | 0.755935i | \(-0.727182\pi\) |
0.981982 | + | 0.188973i | \(0.0605158\pi\) | |||||||
\(978\) | 26.8856 | − | 27.8941i | 0.859706 | − | 0.891953i | ||||
\(979\) | −0.941180 | − | 1.63017i | −0.0300802 | − | 0.0521005i | ||||
\(980\) | 45.0625 | + | 2.20520i | 1.43947 | + | 0.0704424i | ||||
\(981\) | 0.703723 | − | 15.9521i | 0.0224681 | − | 0.509310i | ||||
\(982\) | −4.78683 | + | 1.49255i | −0.152754 | + | 0.0476292i | ||||
\(983\) | −9.28654 | + | 5.36159i | −0.296195 | + | 0.171008i | −0.640732 | − | 0.767765i | \(-0.721369\pi\) |
0.344538 | + | 0.938773i | \(0.388036\pi\) | |||||||
\(984\) | −27.4085 | + | 10.3513i | −0.873750 | + | 0.329989i | ||||
\(985\) | −11.1308 | − | 26.7888i | −0.354658 | − | 0.853562i | ||||
\(986\) | 4.46662 | + | 1.00515i | 0.142246 | + | 0.0320105i | ||||
\(987\) | 14.0436 | − | 23.1312i | 0.447011 | − | 0.736275i | ||||
\(988\) | −12.3634 | − | 5.86122i | −0.393331 | − | 0.186470i | ||||
\(989\) | 22.9812 | 0.730761 | ||||||||
\(990\) | −1.46525 | − | 11.3519i | −0.0465685 | − | 0.360788i | ||||
\(991\) | − | 26.4917i | − | 0.841538i | −0.907168 | − | 0.420769i | \(-0.861760\pi\) | ||
0.907168 | − | 0.420769i | \(-0.138240\pi\) | |||||||
\(992\) | 41.8854 | − | 20.9639i | 1.32986 | − | 0.665606i | ||||
\(993\) | 14.5963 | − | 8.00350i | 0.463200 | − | 0.253983i | ||||
\(994\) | 74.8373 | + | 16.8411i | 2.37370 | + | 0.534167i | ||||
\(995\) | −1.58047 | − | 3.80375i | −0.0501043 | − | 0.120587i | ||||
\(996\) | −30.2660 | − | 45.9491i | −0.959016 | − | 1.45595i | ||||
\(997\) | −12.6165 | − | 21.8525i | −0.399570 | − | 0.692075i | 0.594103 | − | 0.804389i | \(-0.297507\pi\) |
−0.993673 | + | 0.112314i | \(0.964174\pi\) | |||||||
\(998\) | 8.28487 | + | 26.5708i | 0.262253 | + | 0.841084i | ||||
\(999\) | 1.45634 | − | 21.9904i | 0.0460764 | − | 0.695746i |
(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 | 360.2.bd.b.59.15 | yes | 128 | |
5.4 | even | 2 | inner | 360.2.bd.b.59.50 | yes | 128 | |
8.3 | odd | 2 | inner | 360.2.bd.b.59.59 | yes | 128 | |
9.2 | odd | 6 | inner | 360.2.bd.b.299.6 | yes | 128 | |
40.19 | odd | 2 | inner | 360.2.bd.b.59.6 | ✓ | 128 | |
45.29 | odd | 6 | inner | 360.2.bd.b.299.59 | yes | 128 | |
72.11 | even | 6 | inner | 360.2.bd.b.299.50 | yes | 128 | |
360.299 | even | 6 | inner | 360.2.bd.b.299.15 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.bd.b.59.6 | ✓ | 128 | 40.19 | odd | 2 | inner | |
360.2.bd.b.59.15 | yes | 128 | 1.1 | even | 1 | trivial | |
360.2.bd.b.59.50 | yes | 128 | 5.4 | even | 2 | inner | |
360.2.bd.b.59.59 | yes | 128 | 8.3 | odd | 2 | inner | |
360.2.bd.b.299.6 | yes | 128 | 9.2 | odd | 6 | inner | |
360.2.bd.b.299.15 | yes | 128 | 360.299 | even | 6 | inner | |
360.2.bd.b.299.50 | yes | 128 | 72.11 | even | 6 | inner | |
360.2.bd.b.299.59 | yes | 128 | 45.29 | odd | 6 | inner |