Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(277,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.277");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bj (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 277.16 | ||
Character | \(\chi\) | \(=\) | 930.277 |
Dual form | 930.2.bj.b.883.16 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{3}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.156434 | + | 0.987688i | 0.110616 | + | 0.698401i | ||||
\(3\) | 0.987688 | + | 0.156434i | 0.570242 | + | 0.0903175i | ||||
\(4\) | −0.951057 | + | 0.309017i | −0.475528 | + | 0.154508i | ||||
\(5\) | 2.23590 | + | 0.0275636i | 0.999924 | + | 0.0123268i | ||||
\(6\) | 1.00000i | 0.408248i | ||||||||
\(7\) | −1.08401 | + | 2.12750i | −0.409719 | + | 0.804119i | −0.999995 | − | 0.00308237i | \(-0.999019\pi\) |
0.590276 | + | 0.807201i | \(0.299019\pi\) | |||||||
\(8\) | −0.453990 | − | 0.891007i | −0.160510 | − | 0.315018i | ||||
\(9\) | 0.951057 | + | 0.309017i | 0.317019 | + | 0.103006i | ||||
\(10\) | 0.322547 | + | 2.21268i | 0.101998 | + | 0.699712i | ||||
\(11\) | −0.981466 | + | 0.318898i | −0.295923 | + | 0.0961512i | −0.453216 | − | 0.891401i | \(-0.649723\pi\) |
0.157293 | + | 0.987552i | \(0.449723\pi\) | |||||||
\(12\) | −0.987688 | + | 0.156434i | −0.285121 | + | 0.0451587i | ||||
\(13\) | 4.35334 | + | 0.689501i | 1.20740 | + | 0.191233i | 0.727511 | − | 0.686096i | \(-0.240677\pi\) |
0.479888 | + | 0.877330i | \(0.340677\pi\) | |||||||
\(14\) | −2.27088 | − | 0.737855i | −0.606919 | − | 0.197200i | ||||
\(15\) | 2.20406 | + | 0.376996i | 0.569085 | + | 0.0973399i | ||||
\(16\) | 0.809017 | − | 0.587785i | 0.202254 | − | 0.146946i | ||||
\(17\) | 0.684561 | + | 1.34353i | 0.166031 | + | 0.325853i | 0.958999 | − | 0.283409i | \(-0.0914655\pi\) |
−0.792968 | + | 0.609263i | \(0.791466\pi\) | |||||||
\(18\) | −0.156434 | + | 0.987688i | −0.0368720 | + | 0.232800i | ||||
\(19\) | −0.963880 | + | 1.32667i | −0.221129 | + | 0.304358i | −0.905140 | − | 0.425114i | \(-0.860234\pi\) |
0.684011 | + | 0.729472i | \(0.260234\pi\) | |||||||
\(20\) | −2.13498 | + | 0.664716i | −0.477397 | + | 0.148635i | ||||
\(21\) | −1.40348 | + | 1.93173i | −0.306265 | + | 0.421538i | ||||
\(22\) | −0.468506 | − | 0.919496i | −0.0998859 | − | 0.196037i | ||||
\(23\) | −1.89674 | + | 0.966437i | −0.395498 | + | 0.201516i | −0.640417 | − | 0.768027i | \(-0.721238\pi\) |
0.244919 | + | 0.969543i | \(0.421238\pi\) | |||||||
\(24\) | −0.309017 | − | 0.951057i | −0.0630778 | − | 0.194134i | ||||
\(25\) | 4.99848 | + | 0.123259i | 0.999696 | + | 0.0246518i | ||||
\(26\) | 4.40760i | 0.864402i | ||||||||
\(27\) | 0.891007 | + | 0.453990i | 0.171474 | + | 0.0873705i | ||||
\(28\) | 0.373526 | − | 2.35835i | 0.0705898 | − | 0.445686i | ||||
\(29\) | 2.01977 | + | 1.46745i | 0.375062 | + | 0.272499i | 0.759307 | − | 0.650733i | \(-0.225538\pi\) |
−0.384245 | + | 0.923231i | \(0.625538\pi\) | |||||||
\(30\) | −0.0275636 | + | 2.23590i | −0.00503240 | + | 0.408217i | ||||
\(31\) | −5.56081 | − | 0.278148i | −0.998751 | − | 0.0499569i | ||||
\(32\) | 0.707107 | + | 0.707107i | 0.125000 | + | 0.125000i | ||||
\(33\) | −1.01927 | + | 0.161436i | −0.177432 | + | 0.0281025i | ||||
\(34\) | −1.21990 | + | 0.886307i | −0.209211 | + | 0.152000i | ||||
\(35\) | −2.48239 | + | 4.72699i | −0.419600 | + | 0.799007i | ||||
\(36\) | −1.00000 | −0.166667 | ||||||||
\(37\) | −0.746708 | + | 0.746708i | −0.122758 | + | 0.122758i | −0.765817 | − | 0.643059i | \(-0.777665\pi\) |
0.643059 | + | 0.765817i | \(0.277665\pi\) | |||||||
\(38\) | −1.46112 | − | 0.744476i | −0.237024 | − | 0.120770i | ||||
\(39\) | 4.19188 | + | 1.36202i | 0.671238 | + | 0.218098i | ||||
\(40\) | −0.990517 | − | 2.00471i | −0.156615 | − | 0.316973i | ||||
\(41\) | 0.672873 | + | 0.488870i | 0.105085 | + | 0.0763487i | 0.639087 | − | 0.769135i | \(-0.279312\pi\) |
−0.534002 | + | 0.845483i | \(0.679312\pi\) | |||||||
\(42\) | −2.12750 | − | 1.08401i | −0.328280 | − | 0.167267i | ||||
\(43\) | −0.301374 | − | 1.90280i | −0.0459590 | − | 0.290174i | 0.953994 | − | 0.299824i | \(-0.0969281\pi\) |
−0.999953 | + | 0.00965048i | \(0.996928\pi\) | |||||||
\(44\) | 0.834885 | − | 0.606579i | 0.125864 | − | 0.0914453i | ||||
\(45\) | 2.11795 | + | 0.717145i | 0.315725 | + | 0.106906i | ||||
\(46\) | −1.25125 | − | 1.72220i | −0.184487 | − | 0.253925i | ||||
\(47\) | 4.38967 | + | 0.695255i | 0.640299 | + | 0.101413i | 0.468138 | − | 0.883655i | \(-0.344925\pi\) |
0.172161 | + | 0.985069i | \(0.444925\pi\) | |||||||
\(48\) | 0.891007 | − | 0.453990i | 0.128606 | − | 0.0655279i | ||||
\(49\) | 0.763333 | + | 1.05064i | 0.109048 | + | 0.150091i | ||||
\(50\) | 0.660193 | + | 4.95622i | 0.0933654 | + | 0.700916i | ||||
\(51\) | 0.465959 | + | 1.43408i | 0.0652474 | + | 0.200811i | ||||
\(52\) | −4.35334 | + | 0.689501i | −0.603699 | + | 0.0956166i | ||||
\(53\) | 3.72515 | − | 1.89806i | 0.511689 | − | 0.260718i | −0.179028 | − | 0.983844i | \(-0.557295\pi\) |
0.690717 | + | 0.723126i | \(0.257295\pi\) | |||||||
\(54\) | −0.309017 | + | 0.951057i | −0.0420519 | + | 0.129422i | ||||
\(55\) | −2.20325 | + | 0.685970i | −0.297086 | + | 0.0924961i | ||||
\(56\) | 2.38775 | 0.319076 | ||||||||
\(57\) | −1.15955 | + | 1.15955i | −0.153586 | + | 0.153586i | ||||
\(58\) | −1.13342 | + | 2.22447i | −0.148826 | + | 0.292087i | ||||
\(59\) | −1.13222 | − | 1.55837i | −0.147403 | − | 0.202882i | 0.728931 | − | 0.684587i | \(-0.240018\pi\) |
−0.876333 | + | 0.481705i | \(0.840018\pi\) | |||||||
\(60\) | −2.21268 | + | 0.322547i | −0.285656 | + | 0.0416407i | ||||
\(61\) | 2.84599i | 0.364392i | 0.983262 | + | 0.182196i | \(0.0583206\pi\) | ||||
−0.983262 | + | 0.182196i | \(0.941679\pi\) | |||||||
\(62\) | −0.595179 | − | 5.53586i | −0.0755878 | − | 0.703055i | ||||
\(63\) | −1.68839 | + | 1.68839i | −0.212717 | + | 0.212717i | ||||
\(64\) | −0.587785 | + | 0.809017i | −0.0734732 | + | 0.101127i | ||||
\(65\) | 9.71462 | + | 1.66165i | 1.20495 | + | 0.206102i | ||||
\(66\) | −0.318898 | − | 0.981466i | −0.0392536 | − | 0.120810i | ||||
\(67\) | −4.10191 | − | 4.10191i | −0.501128 | − | 0.501128i | 0.410660 | − | 0.911788i | \(-0.365298\pi\) |
−0.911788 | + | 0.410660i | \(0.865298\pi\) | |||||||
\(68\) | −1.06623 | − | 1.06623i | −0.129299 | − | 0.129299i | ||||
\(69\) | −2.02457 | + | 0.657823i | −0.243730 | + | 0.0791926i | ||||
\(70\) | −5.05713 | − | 1.71236i | −0.604442 | − | 0.204666i | ||||
\(71\) | 1.45791 | − | 4.48698i | 0.173022 | − | 0.532507i | −0.826516 | − | 0.562914i | \(-0.809680\pi\) |
0.999538 | + | 0.0304068i | \(0.00968028\pi\) | |||||||
\(72\) | −0.156434 | − | 0.987688i | −0.0184360 | − | 0.116400i | ||||
\(73\) | 1.03169 | − | 2.02481i | 0.120750 | − | 0.236986i | −0.822717 | − | 0.568451i | \(-0.807543\pi\) |
0.943467 | + | 0.331465i | \(0.107543\pi\) | |||||||
\(74\) | −0.854325 | − | 0.620704i | −0.0993133 | − | 0.0721553i | ||||
\(75\) | 4.91766 | + | 0.903676i | 0.567842 | + | 0.104348i | ||||
\(76\) | 0.506742 | − | 1.55959i | 0.0581272 | − | 0.178897i | ||||
\(77\) | 0.385469 | − | 2.43376i | 0.0439283 | − | 0.277352i | ||||
\(78\) | −0.689501 | + | 4.35334i | −0.0780706 | + | 0.492919i | ||||
\(79\) | −0.892173 | + | 2.74582i | −0.100377 | + | 0.308929i | −0.988618 | − | 0.150449i | \(-0.951928\pi\) |
0.888240 | + | 0.459379i | \(0.151928\pi\) | |||||||
\(80\) | 1.82508 | − | 1.29193i | 0.204050 | − | 0.144442i | ||||
\(81\) | 0.809017 | + | 0.587785i | 0.0898908 | + | 0.0653095i | ||||
\(82\) | −0.377591 | + | 0.741065i | −0.0416980 | + | 0.0818369i | ||||
\(83\) | −0.585876 | − | 3.69907i | −0.0643082 | − | 0.406026i | −0.998753 | − | 0.0499188i | \(-0.984104\pi\) |
0.934445 | − | 0.356107i | \(-0.115896\pi\) | |||||||
\(84\) | 0.737855 | − | 2.27088i | 0.0805065 | − | 0.247774i | ||||
\(85\) | 1.49358 | + | 3.02286i | 0.162001 | + | 0.327875i | ||||
\(86\) | 1.83223 | − | 0.595326i | 0.197574 | − | 0.0641957i | ||||
\(87\) | 1.76535 | + | 1.76535i | 0.189265 | + | 0.189265i | ||||
\(88\) | 0.729716 | + | 0.729716i | 0.0777880 | + | 0.0777880i | ||||
\(89\) | −1.82635 | − | 5.62093i | −0.193593 | − | 0.595817i | −0.999990 | − | 0.00444321i | \(-0.998586\pi\) |
0.806397 | − | 0.591374i | \(-0.201414\pi\) | |||||||
\(90\) | −0.376996 | + | 2.20406i | −0.0397388 | + | 0.232328i | ||||
\(91\) | −6.18600 | + | 8.51429i | −0.648469 | + | 0.892541i | ||||
\(92\) | 1.50526 | − | 1.50526i | 0.156934 | − | 0.156934i | ||||
\(93\) | −5.44884 | − | 1.14463i | −0.565018 | − | 0.118692i | ||||
\(94\) | 4.44439i | 0.458404i | ||||||||
\(95\) | −2.19170 | + | 2.93972i | −0.224864 | + | 0.301609i | ||||
\(96\) | 0.587785 | + | 0.809017i | 0.0599906 | + | 0.0825700i | ||||
\(97\) | −3.62296 | + | 7.11045i | −0.367855 | + | 0.721957i | −0.998536 | − | 0.0540853i | \(-0.982776\pi\) |
0.630681 | + | 0.776042i | \(0.282776\pi\) | |||||||
\(98\) | −0.918291 | + | 0.918291i | −0.0927614 | + | 0.0927614i | ||||
\(99\) | −1.03197 | −0.103717 | ||||||||
\(100\) | −4.79193 | + | 1.42739i | −0.479193 | + | 0.142739i | ||||
\(101\) | 0.875991 | − | 2.69602i | 0.0871643 | − | 0.268264i | −0.897968 | − | 0.440060i | \(-0.854957\pi\) |
0.985133 | + | 0.171796i | \(0.0549570\pi\) | |||||||
\(102\) | −1.34353 | + | 0.684561i | −0.133029 | + | 0.0677817i | ||||
\(103\) | −12.3870 | + | 1.96192i | −1.22053 | + | 0.193313i | −0.733267 | − | 0.679941i | \(-0.762005\pi\) |
−0.487265 | + | 0.873254i | \(0.662005\pi\) | |||||||
\(104\) | −1.36202 | − | 4.19188i | −0.133557 | − | 0.411048i | ||||
\(105\) | −3.19129 | + | 4.28046i | −0.311438 | + | 0.417730i | ||||
\(106\) | 2.45743 | + | 3.38236i | 0.238687 | + | 0.328524i | ||||
\(107\) | 15.5411 | − | 7.91860i | 1.50242 | − | 0.765520i | 0.507072 | − | 0.861903i | \(-0.330728\pi\) |
0.995344 | + | 0.0963839i | \(0.0307277\pi\) | |||||||
\(108\) | −0.987688 | − | 0.156434i | −0.0950404 | − | 0.0150529i | ||||
\(109\) | 2.12529 | + | 2.92520i | 0.203565 | + | 0.280184i | 0.898578 | − | 0.438814i | \(-0.144601\pi\) |
−0.695013 | + | 0.718998i | \(0.744601\pi\) | |||||||
\(110\) | −1.02219 | − | 2.06881i | −0.0974618 | − | 0.197254i | ||||
\(111\) | −0.854325 | + | 0.620704i | −0.0810890 | + | 0.0589146i | ||||
\(112\) | 0.373526 | + | 2.35835i | 0.0352949 | + | 0.222843i | ||||
\(113\) | −7.34084 | − | 3.74034i | −0.690568 | − | 0.351862i | 0.0732320 | − | 0.997315i | \(-0.476669\pi\) |
−0.763800 | + | 0.645453i | \(0.776669\pi\) | |||||||
\(114\) | −1.32667 | − | 0.963880i | −0.124254 | − | 0.0902756i | ||||
\(115\) | −4.26756 | + | 2.10857i | −0.397952 | + | 0.196626i | ||||
\(116\) | −2.37438 | − | 0.771484i | −0.220456 | − | 0.0716305i | ||||
\(117\) | 3.92720 | + | 2.00101i | 0.363070 | + | 0.184993i | ||||
\(118\) | 1.36206 | − | 1.36206i | 0.125388 | − | 0.125388i | ||||
\(119\) | −3.60043 | −0.330051 | ||||||||
\(120\) | −0.664716 | − | 2.13498i | −0.0606800 | − | 0.194896i | ||||
\(121\) | −8.03761 | + | 5.83966i | −0.730692 | + | 0.530879i | ||||
\(122\) | −2.81096 | + | 0.445212i | −0.254492 | + | 0.0403076i | ||||
\(123\) | 0.588112 | + | 0.588112i | 0.0530283 | + | 0.0530283i | ||||
\(124\) | 5.37460 | − | 1.45385i | 0.482653 | − | 0.130560i | ||||
\(125\) | 11.1727 | + | 0.413370i | 0.999316 | + | 0.0369730i | ||||
\(126\) | −1.93173 | − | 1.40348i | −0.172092 | − | 0.125032i | ||||
\(127\) | 2.29000 | − | 14.4585i | 0.203204 | − | 1.28298i | −0.649409 | − | 0.760439i | \(-0.724984\pi\) |
0.852613 | − | 0.522542i | \(-0.175016\pi\) | |||||||
\(128\) | −0.891007 | − | 0.453990i | −0.0787546 | − | 0.0401275i | ||||
\(129\) | − | 1.92652i | − | 0.169620i | ||||||
\(130\) | −0.121489 | + | 9.85495i | −0.0106553 | + | 0.864337i | ||||
\(131\) | −3.92807 | − | 12.0894i | −0.343197 | − | 1.05625i | −0.962542 | − | 0.271133i | \(-0.912602\pi\) |
0.619344 | − | 0.785119i | \(-0.287398\pi\) | |||||||
\(132\) | 0.919496 | − | 0.468506i | 0.0800318 | − | 0.0407783i | ||||
\(133\) | −1.77762 | − | 3.48878i | −0.154139 | − | 0.302516i | ||||
\(134\) | 3.40973 | − | 4.69309i | 0.294556 | − | 0.405421i | ||||
\(135\) | 1.97969 | + | 1.03964i | 0.170384 | + | 0.0894776i | ||||
\(136\) | 0.886307 | − | 1.21990i | 0.0760002 | − | 0.104605i | ||||
\(137\) | 2.81293 | − | 17.7602i | 0.240325 | − | 1.51735i | −0.512244 | − | 0.858840i | \(-0.671186\pi\) |
0.752569 | − | 0.658513i | \(-0.228814\pi\) | |||||||
\(138\) | −0.966437 | − | 1.89674i | −0.0822686 | − | 0.161461i | ||||
\(139\) | 8.83732 | − | 6.42069i | 0.749571 | − | 0.544596i | −0.146123 | − | 0.989266i | \(-0.546679\pi\) |
0.895694 | + | 0.444671i | \(0.146679\pi\) | |||||||
\(140\) | 0.900171 | − | 5.26274i | 0.0760783 | − | 0.444782i | ||||
\(141\) | 4.22686 | + | 1.37339i | 0.355966 | + | 0.115660i | ||||
\(142\) | 4.65981 | + | 0.738041i | 0.391042 | + | 0.0619350i | ||||
\(143\) | −4.49253 | + | 0.711547i | −0.375685 | + | 0.0595026i | ||||
\(144\) | 0.951057 | − | 0.309017i | 0.0792547 | − | 0.0257514i | ||||
\(145\) | 4.47556 | + | 3.33674i | 0.371675 | + | 0.277101i | ||||
\(146\) | 2.16127 | + | 0.702239i | 0.178868 | + | 0.0581177i | ||||
\(147\) | 0.589579 | + | 1.15711i | 0.0486277 | + | 0.0954372i | ||||
\(148\) | 0.479416 | − | 0.940906i | 0.0394077 | − | 0.0773420i | ||||
\(149\) | − | 1.07041i | − | 0.0876916i | −0.999038 | − | 0.0438458i | \(-0.986039\pi\) | ||
0.999038 | − | 0.0438458i | \(-0.0139610\pi\) | |||||||
\(150\) | −0.123259 | + | 4.99848i | −0.0100640 | + | 0.408124i | ||||
\(151\) | −18.8088 | + | 6.11135i | −1.53064 | + | 0.497335i | −0.948775 | − | 0.315952i | \(-0.897676\pi\) |
−0.581863 | + | 0.813286i | \(0.697676\pi\) | |||||||
\(152\) | 1.61966 | + | 0.256529i | 0.131372 | + | 0.0208073i | ||||
\(153\) | 0.235884 | + | 1.48931i | 0.0190701 | + | 0.120404i | ||||
\(154\) | 2.46409 | 0.198562 | ||||||||
\(155\) | −12.4257 | − | 0.775187i | −0.998060 | − | 0.0622645i | ||||
\(156\) | −4.40760 | −0.352891 | ||||||||
\(157\) | −1.61684 | − | 10.2083i | −0.129038 | − | 0.814712i | −0.964291 | − | 0.264846i | \(-0.914679\pi\) |
0.835253 | − | 0.549866i | \(-0.185321\pi\) | |||||||
\(158\) | −2.85159 | − | 0.451647i | −0.226860 | − | 0.0359311i | ||||
\(159\) | 3.97621 | − | 1.29195i | 0.315334 | − | 0.102458i | ||||
\(160\) | 1.56153 | + | 1.60051i | 0.123450 | + | 0.126531i | ||||
\(161\) | − | 5.08294i | − | 0.400592i | ||||||
\(162\) | −0.453990 | + | 0.891007i | −0.0356689 | + | 0.0700041i | ||||
\(163\) | 0.543174 | + | 1.06604i | 0.0425447 | + | 0.0834986i | 0.911300 | − | 0.411743i | \(-0.135080\pi\) |
−0.868756 | + | 0.495241i | \(0.835080\pi\) | |||||||
\(164\) | −0.791009 | − | 0.257014i | −0.0617674 | − | 0.0200695i | ||||
\(165\) | −2.28343 | + | 0.332860i | −0.177765 | + | 0.0259132i | ||||
\(166\) | 3.56188 | − | 1.15733i | 0.276456 | − | 0.0898259i | ||||
\(167\) | 16.7461 | − | 2.65232i | 1.29585 | − | 0.205243i | 0.529856 | − | 0.848088i | \(-0.322246\pi\) |
0.765996 | + | 0.642845i | \(0.222246\pi\) | |||||||
\(168\) | 2.35835 | + | 0.373526i | 0.181951 | + | 0.0288182i | ||||
\(169\) | 6.11241 | + | 1.98604i | 0.470186 | + | 0.152773i | ||||
\(170\) | −2.75200 | + | 1.94807i | −0.211068 | + | 0.149410i | ||||
\(171\) | −1.32667 | + | 0.963880i | −0.101453 | + | 0.0737097i | ||||
\(172\) | 0.874620 | + | 1.71654i | 0.0666892 | + | 0.130885i | ||||
\(173\) | 3.73478 | − | 23.5805i | 0.283950 | − | 1.79279i | −0.272758 | − | 0.962083i | \(-0.587936\pi\) |
0.556708 | − | 0.830708i | \(-0.312064\pi\) | |||||||
\(174\) | −1.46745 | + | 2.01977i | −0.111247 | + | 0.153119i | ||||
\(175\) | −5.68066 | + | 10.5006i | −0.429418 | + | 0.793774i | ||||
\(176\) | −0.606579 | + | 0.834885i | −0.0457226 | + | 0.0629318i | ||||
\(177\) | −0.874499 | − | 1.71630i | −0.0657314 | − | 0.129005i | ||||
\(178\) | 5.26602 | − | 2.68317i | 0.394705 | − | 0.201112i | ||||
\(179\) | 3.53694 | + | 10.8856i | 0.264363 | + | 0.813626i | 0.991839 | + | 0.127493i | \(0.0406931\pi\) |
−0.727476 | + | 0.686133i | \(0.759307\pi\) | |||||||
\(180\) | −2.23590 | − | 0.0275636i | −0.166654 | − | 0.00205447i | ||||
\(181\) | 2.73532i | 0.203315i | 0.994819 | + | 0.101657i | \(0.0324145\pi\) | ||||
−0.994819 | + | 0.101657i | \(0.967585\pi\) | |||||||
\(182\) | −9.37717 | − | 4.77791i | −0.695082 | − | 0.354162i | ||||
\(183\) | −0.445212 | + | 2.81096i | −0.0329110 | + | 0.207792i | ||||
\(184\) | 1.72220 | + | 1.25125i | 0.126963 | + | 0.0922437i | ||||
\(185\) | −1.69014 | + | 1.64898i | −0.124262 | + | 0.121235i | ||||
\(186\) | 0.278148 | − | 5.56081i | 0.0203948 | − | 0.407739i | ||||
\(187\) | −1.10032 | − | 1.10032i | −0.0804635 | − | 0.0804635i | ||||
\(188\) | −4.38967 | + | 0.695255i | −0.320150 | + | 0.0507067i | ||||
\(189\) | −1.93173 | + | 1.40348i | −0.140513 | + | 0.102088i | ||||
\(190\) | −3.24639 | − | 1.70485i | −0.235518 | − | 0.123683i | ||||
\(191\) | 8.85005 | 0.640367 | 0.320184 | − | 0.947355i | \(-0.396255\pi\) | ||||
0.320184 | + | 0.947355i | \(0.396255\pi\) | |||||||
\(192\) | −0.707107 | + | 0.707107i | −0.0510310 | + | 0.0510310i | ||||
\(193\) | −12.1592 | − | 6.19540i | −0.875236 | − | 0.445955i | −0.0421582 | − | 0.999111i | \(-0.513423\pi\) |
−0.833078 | + | 0.553156i | \(0.813423\pi\) | |||||||
\(194\) | −7.58967 | − | 2.46603i | −0.544906 | − | 0.177051i | ||||
\(195\) | 9.33507 | + | 3.16089i | 0.668499 | + | 0.226356i | ||||
\(196\) | −1.05064 | − | 0.763333i | −0.0750456 | − | 0.0545238i | ||||
\(197\) | 22.6389 | + | 11.5351i | 1.61295 | + | 0.821841i | 0.999484 | + | 0.0321222i | \(0.0102266\pi\) |
0.613469 | + | 0.789719i | \(0.289773\pi\) | |||||||
\(198\) | −0.161436 | − | 1.01927i | −0.0114728 | − | 0.0724363i | ||||
\(199\) | 19.8846 | − | 14.4470i | 1.40958 | − | 1.02412i | 0.416200 | − | 0.909273i | \(-0.363361\pi\) |
0.993383 | − | 0.114849i | \(-0.0366385\pi\) | |||||||
\(200\) | −2.15944 | − | 4.50964i | −0.152695 | − | 0.318879i | ||||
\(201\) | −3.40973 | − | 4.69309i | −0.240504 | − | 0.331025i | ||||
\(202\) | 2.79986 | + | 0.443455i | 0.196998 | + | 0.0312014i | ||||
\(203\) | −5.31146 | + | 2.70633i | −0.372792 | + | 0.189947i | ||||
\(204\) | −0.886307 | − | 1.21990i | −0.0620539 | − | 0.0854099i | ||||
\(205\) | 1.49100 | + | 1.11161i | 0.104136 | + | 0.0776383i | ||||
\(206\) | −3.87552 | − | 11.9276i | −0.270020 | − | 0.831037i | ||||
\(207\) | −2.10255 | + | 0.333012i | −0.146138 | + | 0.0231459i | ||||
\(208\) | 3.92720 | − | 2.00101i | 0.272303 | − | 0.138745i | ||||
\(209\) | 0.522944 | − | 1.60946i | 0.0361728 | − | 0.111328i | ||||
\(210\) | −4.72699 | − | 2.48239i | −0.326193 | − | 0.171301i | ||||
\(211\) | 8.71660 | 0.600075 | 0.300038 | − | 0.953927i | \(-0.403001\pi\) | ||||
0.300038 | + | 0.953927i | \(0.403001\pi\) | |||||||
\(212\) | −2.95630 | + | 2.95630i | −0.203039 | + | 0.203039i | ||||
\(213\) | 2.14188 | − | 4.20367i | 0.146759 | − | 0.288031i | ||||
\(214\) | 10.2523 | + | 14.1110i | 0.700831 | + | 0.964611i | ||||
\(215\) | −0.621393 | − | 4.26277i | −0.0423786 | − | 0.290718i | ||||
\(216\) | − | 1.00000i | − | 0.0680414i | ||||||
\(217\) | 6.61976 | − | 11.5291i | 0.449379 | − | 0.782647i | ||||
\(218\) | −2.55672 | + | 2.55672i | −0.173163 | + | 0.173163i | ||||
\(219\) | 1.33574 | − | 1.83849i | 0.0902609 | − | 0.124233i | ||||
\(220\) | 1.88344 | − | 1.33324i | 0.126981 | − | 0.0898868i | ||||
\(221\) | 2.05376 | + | 6.32084i | 0.138151 | + | 0.425185i | ||||
\(222\) | −0.746708 | − | 0.746708i | −0.0501157 | − | 0.0501157i | ||||
\(223\) | −3.63176 | − | 3.63176i | −0.243201 | − | 0.243201i | 0.574972 | − | 0.818173i | \(-0.305013\pi\) |
−0.818173 | + | 0.574972i | \(0.805013\pi\) | |||||||
\(224\) | −2.27088 | + | 0.737855i | −0.151730 | + | 0.0493000i | ||||
\(225\) | 4.71575 | + | 1.66184i | 0.314383 | + | 0.110789i | ||||
\(226\) | 2.54593 | − | 7.83558i | 0.169353 | − | 0.521215i | ||||
\(227\) | −3.69338 | − | 23.3191i | −0.245138 | − | 1.54774i | −0.736289 | − | 0.676667i | \(-0.763424\pi\) |
0.491151 | − | 0.871075i | \(-0.336576\pi\) | |||||||
\(228\) | 0.744476 | − | 1.46112i | 0.0493042 | − | 0.0967648i | ||||
\(229\) | −1.46523 | − | 1.06455i | −0.0968251 | − | 0.0703475i | 0.538319 | − | 0.842741i | \(-0.319059\pi\) |
−0.635144 | + | 0.772393i | \(0.719059\pi\) | |||||||
\(230\) | −2.75021 | − | 3.88516i | −0.181343 | − | 0.256180i | ||||
\(231\) | 0.761447 | − | 2.34349i | 0.0500995 | − | 0.154191i | ||||
\(232\) | 0.390551 | − | 2.46584i | 0.0256409 | − | 0.161890i | ||||
\(233\) | −0.547039 | + | 3.45387i | −0.0358377 | + | 0.226270i | −0.999106 | − | 0.0422696i | \(-0.986541\pi\) |
0.963269 | + | 0.268540i | \(0.0865412\pi\) | |||||||
\(234\) | −1.36202 | + | 4.19188i | −0.0890383 | + | 0.274032i | ||||
\(235\) | 9.79569 | + | 1.67552i | 0.639000 | + | 0.109299i | ||||
\(236\) | 1.55837 | + | 1.13222i | 0.101441 | + | 0.0737013i | ||||
\(237\) | −1.31073 | + | 2.57245i | −0.0851411 | + | 0.167099i | ||||
\(238\) | −0.563231 | − | 3.55610i | −0.0365088 | − | 0.230508i | ||||
\(239\) | −2.00838 | + | 6.18116i | −0.129911 | + | 0.399826i | −0.994764 | − | 0.102200i | \(-0.967412\pi\) |
0.864852 | + | 0.502026i | \(0.167412\pi\) | |||||||
\(240\) | 2.00471 | − | 0.990517i | 0.129404 | − | 0.0639376i | ||||
\(241\) | 8.49733 | − | 2.76095i | 0.547361 | − | 0.177849i | −0.0222652 | − | 0.999752i | \(-0.507088\pi\) |
0.569627 | + | 0.821904i | \(0.307088\pi\) | |||||||
\(242\) | −7.02513 | − | 7.02513i | −0.451592 | − | 0.451592i | ||||
\(243\) | 0.707107 | + | 0.707107i | 0.0453609 | + | 0.0453609i | ||||
\(244\) | −0.879461 | − | 2.70670i | −0.0563017 | − | 0.173279i | ||||
\(245\) | 1.67778 | + | 2.37016i | 0.107189 | + | 0.151424i | ||||
\(246\) | −0.488870 | + | 0.672873i | −0.0311692 | + | 0.0429008i | ||||
\(247\) | −5.11083 | + | 5.11083i | −0.325195 | + | 0.325195i | ||||
\(248\) | 2.27672 | + | 5.08100i | 0.144572 | + | 0.322644i | ||||
\(249\) | − | 3.74518i | − | 0.237341i | ||||||
\(250\) | 1.33951 | + | 11.0998i | 0.0847183 | + | 0.702013i | ||||
\(251\) | 15.6050 | + | 21.4784i | 0.984978 | + | 1.35571i | 0.934104 | + | 0.357001i | \(0.116201\pi\) |
0.0508737 | + | 0.998705i | \(0.483799\pi\) | |||||||
\(252\) | 1.08401 | − | 2.12750i | 0.0682865 | − | 0.134020i | ||||
\(253\) | 1.55339 | − | 1.55339i | 0.0976609 | − | 0.0976609i | ||||
\(254\) | 14.6387 | 0.918513 | ||||||||
\(255\) | 1.00231 | + | 3.21929i | 0.0627670 | + | 0.201600i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −7.92730 | + | 4.03916i | −0.494492 | + | 0.251956i | −0.683407 | − | 0.730037i | \(-0.739503\pi\) |
0.188916 | + | 0.981993i | \(0.439503\pi\) | |||||||
\(258\) | 1.90280 | − | 0.301374i | 0.118463 | − | 0.0187627i | ||||
\(259\) | −0.779177 | − | 2.39806i | −0.0484157 | − | 0.149008i | ||||
\(260\) | −9.75263 | + | 1.42166i | −0.604832 | + | 0.0881676i | ||||
\(261\) | 1.46745 | + | 2.01977i | 0.0908329 | + | 0.125021i | ||||
\(262\) | 11.3260 | − | 5.77090i | 0.699725 | − | 0.356528i | ||||
\(263\) | −0.163047 | − | 0.0258241i | −0.0100539 | − | 0.00159238i | 0.151405 | − | 0.988472i | \(-0.451620\pi\) |
−0.161459 | + | 0.986879i | \(0.551620\pi\) | |||||||
\(264\) | 0.606579 | + | 0.834885i | 0.0373324 | + | 0.0513836i | ||||
\(265\) | 8.38137 | − | 4.14119i | 0.514864 | − | 0.254391i | ||||
\(266\) | 3.16775 | − | 2.30150i | 0.194227 | − | 0.141114i | ||||
\(267\) | −0.924558 | − | 5.83743i | −0.0565820 | − | 0.357245i | ||||
\(268\) | 5.16871 | + | 2.63359i | 0.315729 | + | 0.160872i | ||||
\(269\) | 0.607090 | + | 0.441077i | 0.0370150 | + | 0.0268929i | 0.606139 | − | 0.795359i | \(-0.292718\pi\) |
−0.569124 | + | 0.822252i | \(0.692718\pi\) | |||||||
\(270\) | −0.717145 | + | 2.11795i | −0.0436441 | + | 0.128894i | ||||
\(271\) | −1.00908 | − | 0.327872i | −0.0612975 | − | 0.0199168i | 0.278208 | − | 0.960521i | \(-0.410260\pi\) |
−0.339505 | + | 0.940604i | \(0.610260\pi\) | |||||||
\(272\) | 1.34353 | + | 0.684561i | 0.0814633 | + | 0.0415076i | ||||
\(273\) | −7.44177 | + | 7.44177i | −0.450396 | + | 0.450396i | ||||
\(274\) | 17.9815 | 1.08630 | ||||||||
\(275\) | −4.94514 | + | 1.47303i | −0.298203 | + | 0.0888270i | ||||
\(276\) | 1.72220 | − | 1.25125i | 0.103664 | − | 0.0753167i | ||||
\(277\) | −30.1414 | + | 4.77393i | −1.81102 | + | 0.286838i | −0.967983 | − | 0.251016i | \(-0.919235\pi\) |
−0.843038 | + | 0.537854i | \(0.819235\pi\) | |||||||
\(278\) | 7.72410 | + | 7.72410i | 0.463261 | + | 0.463261i | ||||
\(279\) | −5.20269 | − | 1.98292i | −0.311477 | − | 0.118714i | ||||
\(280\) | 5.33876 | + | 0.0658149i | 0.319052 | + | 0.00393319i | ||||
\(281\) | 6.47081 | + | 4.70132i | 0.386016 | + | 0.280457i | 0.763821 | − | 0.645428i | \(-0.223321\pi\) |
−0.377805 | + | 0.925885i | \(0.623321\pi\) | |||||||
\(282\) | −0.695255 | + | 4.38967i | −0.0414018 | + | 0.261401i | ||||
\(283\) | −0.293818 | − | 0.149708i | −0.0174657 | − | 0.00889921i | 0.445236 | − | 0.895413i | \(-0.353120\pi\) |
−0.462702 | + | 0.886514i | \(0.653120\pi\) | |||||||
\(284\) | 4.71789i | 0.279956i | ||||||||
\(285\) | −2.62459 | + | 2.56067i | −0.155468 | + | 0.151681i | ||||
\(286\) | −1.40557 | − | 4.32591i | −0.0831133 | − | 0.255797i | ||||
\(287\) | −1.76948 | + | 0.901593i | −0.104449 | + | 0.0532193i | ||||
\(288\) | 0.453990 | + | 0.891007i | 0.0267516 | + | 0.0525031i | ||||
\(289\) | 8.65591 | − | 11.9138i | 0.509171 | − | 0.700814i | ||||
\(290\) | −2.59553 | + | 4.94244i | −0.152415 | + | 0.290230i | ||||
\(291\) | −4.69067 | + | 6.45616i | −0.274972 | + | 0.378467i | ||||
\(292\) | −0.355496 | + | 2.24452i | −0.0208039 | + | 0.131350i | ||||
\(293\) | −4.77122 | − | 9.36405i | −0.278738 | − | 0.547054i | 0.708614 | − | 0.705596i | \(-0.249321\pi\) |
−0.987352 | + | 0.158542i | \(0.949321\pi\) | |||||||
\(294\) | −1.05064 | + | 0.763333i | −0.0612745 | + | 0.0445185i | ||||
\(295\) | −2.48858 | − | 3.51556i | −0.144891 | − | 0.204684i | ||||
\(296\) | 1.00432 | + | 0.326323i | 0.0583749 | + | 0.0189671i | ||||
\(297\) | −1.01927 | − | 0.161436i | −0.0591440 | − | 0.00936749i | ||||
\(298\) | 1.05723 | − | 0.167449i | 0.0612439 | − | 0.00970009i | ||||
\(299\) | −8.92351 | + | 2.89942i | −0.516060 | + | 0.167678i | ||||
\(300\) | −4.95622 | + | 0.660193i | −0.286148 | + | 0.0381163i | ||||
\(301\) | 4.37489 | + | 1.42149i | 0.252165 | + | 0.0819333i | ||||
\(302\) | −8.97846 | − | 17.6212i | −0.516652 | − | 1.01399i | ||||
\(303\) | 1.28696 | − | 2.52579i | 0.0739337 | − | 0.145103i | ||||
\(304\) | 1.63985i | 0.0940519i | ||||||||
\(305\) | −0.0784459 | + | 6.36335i | −0.00449180 | + | 0.364365i | ||||
\(306\) | −1.43408 | + | 0.465959i | −0.0819806 | + | 0.0266371i | ||||
\(307\) | −11.5065 | − | 1.82246i | −0.656712 | − | 0.104013i | −0.180819 | − | 0.983516i | \(-0.557875\pi\) |
−0.475893 | + | 0.879503i | \(0.657875\pi\) | |||||||
\(308\) | 0.385469 | + | 2.43376i | 0.0219641 | + | 0.138676i | ||||
\(309\) | −12.5415 | −0.713458 | ||||||||
\(310\) | −1.17817 | − | 12.3940i | −0.0669156 | − | 0.703933i | ||||
\(311\) | 12.2694 | 0.695735 | 0.347867 | − | 0.937544i | \(-0.386906\pi\) | ||||
0.347867 | + | 0.937544i | \(0.386906\pi\) | |||||||
\(312\) | −0.689501 | − | 4.35334i | −0.0390353 | − | 0.246459i | ||||
\(313\) | −30.6112 | − | 4.84834i | −1.73025 | − | 0.274045i | −0.789648 | − | 0.613560i | \(-0.789737\pi\) |
−0.940601 | + | 0.339515i | \(0.889737\pi\) | |||||||
\(314\) | 9.82971 | − | 3.19386i | 0.554722 | − | 0.180240i | ||||
\(315\) | −3.82161 | + | 3.72854i | −0.215323 | + | 0.210079i | ||||
\(316\) | − | 2.88713i | − | 0.162414i | ||||||
\(317\) | 7.00903 | − | 13.7560i | 0.393666 | − | 0.772614i | −0.606074 | − | 0.795408i | \(-0.707256\pi\) |
0.999740 | + | 0.0227947i | \(0.00725639\pi\) | |||||||
\(318\) | 1.89806 | + | 3.72515i | 0.106438 | + | 0.208896i | ||||
\(319\) | −2.45030 | − | 0.796152i | −0.137191 | − | 0.0445760i | ||||
\(320\) | −1.33653 | + | 1.79268i | −0.0747141 | + | 0.100214i | ||||
\(321\) | 16.5885 | − | 5.38994i | 0.925881 | − | 0.300837i | ||||
\(322\) | 5.02037 | − | 0.795148i | 0.279774 | − | 0.0443119i | ||||
\(323\) | −2.44225 | − | 0.386814i | −0.135890 | − | 0.0215229i | ||||
\(324\) | −0.951057 | − | 0.309017i | −0.0528365 | − | 0.0171676i | ||||
\(325\) | 21.6751 | + | 3.98305i | 1.20232 | + | 0.220940i | ||||
\(326\) | −0.967943 | + | 0.703252i | −0.0536094 | + | 0.0389495i | ||||
\(327\) | 1.64152 | + | 3.22166i | 0.0907761 | + | 0.178158i | ||||
\(328\) | 0.130109 | − | 0.821476i | 0.00718407 | − | 0.0453584i | ||||
\(329\) | −6.23762 | + | 8.58535i | −0.343891 | + | 0.473326i | ||||
\(330\) | −0.685970 | − | 2.20325i | −0.0377614 | − | 0.121285i | ||||
\(331\) | −13.9662 | + | 19.2228i | −0.767651 | + | 1.05658i | 0.228888 | + | 0.973453i | \(0.426491\pi\) |
−0.996539 | + | 0.0831276i | \(0.973509\pi\) | |||||||
\(332\) | 1.70028 | + | 3.33698i | 0.0933148 | + | 0.183141i | ||||
\(333\) | −0.940906 | + | 0.479416i | −0.0515614 | + | 0.0262718i | ||||
\(334\) | 5.23934 | + | 16.1250i | 0.286684 | + | 0.882322i | ||||
\(335\) | −9.05839 | − | 9.28452i | −0.494913 | − | 0.507268i | ||||
\(336\) | 2.38775i | 0.130262i | ||||||||
\(337\) | −15.6394 | − | 7.96868i | −0.851933 | − | 0.434082i | −0.0272176 | − | 0.999630i | \(-0.508665\pi\) |
−0.824715 | + | 0.565548i | \(0.808665\pi\) | |||||||
\(338\) | −1.00540 | + | 6.34784i | −0.0546865 | + | 0.345277i | ||||
\(339\) | −6.66534 | − | 4.84265i | −0.362012 | − | 0.263017i | ||||
\(340\) | −2.35459 | − | 2.41337i | −0.127696 | − | 0.130883i | ||||
\(341\) | 5.54645 | − | 1.50034i | 0.300357 | − | 0.0812478i | ||||
\(342\) | −1.15955 | − | 1.15955i | −0.0627012 | − | 0.0627012i | ||||
\(343\) | −19.5712 | + | 3.09977i | −1.05674 | + | 0.167372i | ||||
\(344\) | −1.55858 | + | 1.13238i | −0.0840333 | + | 0.0610537i | ||||
\(345\) | −4.54487 | + | 1.41502i | −0.244688 | + | 0.0761822i | ||||
\(346\) | 23.8744 | 1.28350 | ||||||||
\(347\) | 5.45704 | − | 5.45704i | 0.292949 | − | 0.292949i | −0.545295 | − | 0.838244i | \(-0.683582\pi\) |
0.838244 | + | 0.545295i | \(0.183582\pi\) | |||||||
\(348\) | −2.22447 | − | 1.13342i | −0.119244 | − | 0.0607578i | ||||
\(349\) | 29.1199 | + | 9.46164i | 1.55875 | + | 0.506470i | 0.956475 | − | 0.291815i | \(-0.0942592\pi\) |
0.602280 | + | 0.798285i | \(0.294259\pi\) | |||||||
\(350\) | −11.2600 | − | 3.96806i | −0.601873 | − | 0.212102i | ||||
\(351\) | 3.56583 | + | 2.59072i | 0.190330 | + | 0.138283i | ||||
\(352\) | −0.919496 | − | 0.468506i | −0.0490093 | − | 0.0249715i | ||||
\(353\) | −3.80413 | − | 24.0183i | −0.202473 | − | 1.27837i | −0.854213 | − | 0.519923i | \(-0.825961\pi\) |
0.651740 | − | 0.758443i | \(-0.274039\pi\) | |||||||
\(354\) | 1.55837 | − | 1.13222i | 0.0828264 | − | 0.0601769i | ||||
\(355\) | 3.38341 | − | 9.99225i | 0.179573 | − | 0.530334i | ||||
\(356\) | 3.47393 | + | 4.78145i | 0.184118 | + | 0.253416i | ||||
\(357\) | −3.55610 | − | 0.563231i | −0.188209 | − | 0.0298093i | ||||
\(358\) | −10.1983 | + | 5.19627i | −0.538995 | + | 0.274631i | ||||
\(359\) | −14.7419 | − | 20.2905i | −0.778050 | − | 1.07089i | −0.995494 | − | 0.0948215i | \(-0.969772\pi\) |
0.217444 | − | 0.976073i | \(-0.430228\pi\) | |||||||
\(360\) | −0.322547 | − | 2.21268i | −0.0169997 | − | 0.116619i | ||||
\(361\) | 5.04034 | + | 15.5126i | 0.265281 | + | 0.816452i | ||||
\(362\) | −2.70164 | + | 0.427898i | −0.141995 | + | 0.0224898i | ||||
\(363\) | −8.85218 | + | 4.51041i | −0.464619 | + | 0.236735i | ||||
\(364\) | 3.25217 | − | 10.0092i | 0.170460 | − | 0.524622i | ||||
\(365\) | 2.36257 | − | 4.49883i | 0.123662 | − | 0.235479i | ||||
\(366\) | −2.84599 | −0.148763 | ||||||||
\(367\) | −15.8100 | + | 15.8100i | −0.825274 | + | 0.825274i | −0.986859 | − | 0.161585i | \(-0.948339\pi\) |
0.161585 | + | 0.986859i | \(0.448339\pi\) | |||||||
\(368\) | −0.966437 | + | 1.89674i | −0.0503790 | + | 0.0988744i | ||||
\(369\) | 0.488870 | + | 0.672873i | 0.0254496 | + | 0.0350283i | ||||
\(370\) | −1.89308 | − | 1.41138i | −0.0984163 | − | 0.0733741i | ||||
\(371\) | 9.98277i | 0.518280i | ||||||||
\(372\) | 5.53586 | − | 0.595179i | 0.287021 | − | 0.0308586i | ||||
\(373\) | 20.9983 | − | 20.9983i | 1.08725 | − | 1.08725i | 0.0914395 | − | 0.995811i | \(-0.470853\pi\) |
0.995811 | − | 0.0914395i | \(-0.0291468\pi\) | |||||||
\(374\) | 0.914646 | − | 1.25890i | 0.0472952 | − | 0.0650963i | ||||
\(375\) | 10.9705 | + | 2.15608i | 0.566513 | + | 0.111339i | ||||
\(376\) | −1.37339 | − | 4.22686i | −0.0708272 | − | 0.217984i | ||||
\(377\) | 7.78094 | + | 7.78094i | 0.400739 | + | 0.400739i | ||||
\(378\) | −1.68839 | − | 1.68839i | −0.0868416 | − | 0.0868416i | ||||
\(379\) | 5.07106 | − | 1.64769i | 0.260483 | − | 0.0846360i | −0.175864 | − | 0.984414i | \(-0.556272\pi\) |
0.436347 | + | 0.899778i | \(0.356272\pi\) | |||||||
\(380\) | 1.17601 | − | 3.47312i | 0.0603281 | − | 0.178167i | ||||
\(381\) | 4.52360 | − | 13.9222i | 0.231751 | − | 0.713257i | ||||
\(382\) | 1.38445 | + | 8.74110i | 0.0708348 | + | 0.447233i | ||||
\(383\) | −11.2962 | + | 22.1700i | −0.577209 | + | 1.13284i | 0.399191 | + | 0.916868i | \(0.369291\pi\) |
−0.976400 | + | 0.215969i | \(0.930709\pi\) | |||||||
\(384\) | −0.809017 | − | 0.587785i | −0.0412850 | − | 0.0299953i | ||||
\(385\) | 0.928953 | − | 5.43101i | 0.0473438 | − | 0.276790i | ||||
\(386\) | 4.21702 | − | 12.9786i | 0.214640 | − | 0.660595i | ||||
\(387\) | 0.301374 | − | 1.90280i | 0.0153197 | − | 0.0967247i | ||||
\(388\) | 1.24839 | − | 7.88200i | 0.0633772 | − | 0.400148i | ||||
\(389\) | −3.22264 | + | 9.91826i | −0.163394 | + | 0.502876i | −0.998914 | − | 0.0465840i | \(-0.985166\pi\) |
0.835520 | + | 0.549460i | \(0.185166\pi\) | |||||||
\(390\) | −1.66165 | + | 9.71462i | −0.0841408 | + | 0.491919i | ||||
\(391\) | −2.59687 | − | 1.88674i | −0.131329 | − | 0.0954164i | ||||
\(392\) | 0.589579 | − | 1.15711i | 0.0297783 | − | 0.0584431i | ||||
\(393\) | −1.98852 | − | 12.5550i | −0.100307 | − | 0.633317i | ||||
\(394\) | −7.85157 | + | 24.1646i | −0.395556 | + | 1.21740i | ||||
\(395\) | −2.07049 | + | 6.11479i | −0.104178 | + | 0.307669i | ||||
\(396\) | 0.981466 | − | 0.318898i | 0.0493205 | − | 0.0160252i | ||||
\(397\) | −4.24924 | − | 4.24924i | −0.213263 | − | 0.213263i | 0.592389 | − | 0.805652i | \(-0.298185\pi\) |
−0.805652 | + | 0.592389i | \(0.798185\pi\) | |||||||
\(398\) | 17.3798 | + | 17.3798i | 0.871170 | + | 0.871170i | ||||
\(399\) | −1.20997 | − | 3.72391i | −0.0605743 | − | 0.186429i | ||||
\(400\) | 4.11631 | − | 2.83831i | 0.205815 | − | 0.141916i | ||||
\(401\) | −15.9980 | + | 22.0193i | −0.798901 | + | 1.09959i | 0.194041 | + | 0.980993i | \(0.437841\pi\) |
−0.992942 | + | 0.118600i | \(0.962159\pi\) | |||||||
\(402\) | 4.10191 | − | 4.10191i | 0.204585 | − | 0.204585i | ||||
\(403\) | −24.0163 | − | 5.04506i | −1.19634 | − | 0.251312i | ||||
\(404\) | 2.83477i | 0.141035i | ||||||||
\(405\) | 1.79268 | + | 1.33653i | 0.0890789 | + | 0.0664126i | ||||
\(406\) | −3.50390 | − | 4.82271i | −0.173896 | − | 0.239347i | ||||
\(407\) | 0.494745 | − | 0.970991i | 0.0245236 | − | 0.0481302i | ||||
\(408\) | 1.06623 | − | 1.06623i | 0.0527862 | − | 0.0527862i | ||||
\(409\) | 6.07083 | 0.300183 | 0.150092 | − | 0.988672i | \(-0.452043\pi\) | ||||
0.150092 | + | 0.988672i | \(0.452043\pi\) | |||||||
\(410\) | −0.864682 | + | 1.64654i | −0.0427036 | + | 0.0813167i | ||||
\(411\) | 5.55660 | − | 17.1015i | 0.274087 | − | 0.843553i | ||||
\(412\) | 11.1745 | − | 5.69370i | 0.550529 | − | 0.280508i | ||||
\(413\) | 4.54277 | − | 0.719505i | 0.223535 | − | 0.0354045i | ||||
\(414\) | −0.657823 | − | 2.02457i | −0.0323303 | − | 0.0995023i | ||||
\(415\) | −1.20800 | − | 8.28690i | −0.0592983 | − | 0.406788i | ||||
\(416\) | 2.59072 | + | 3.56583i | 0.127021 | + | 0.174829i | ||||
\(417\) | 9.73293 | − | 4.95918i | 0.476624 | − | 0.242852i | ||||
\(418\) | 1.67145 | + | 0.264731i | 0.0817532 | + | 0.0129484i | ||||
\(419\) | −16.4061 | − | 22.5811i | −0.801490 | − | 1.10316i | −0.992581 | − | 0.121584i | \(-0.961202\pi\) |
0.191091 | − | 0.981572i | \(-0.438798\pi\) | |||||||
\(420\) | 1.71236 | − | 5.05713i | 0.0835547 | − | 0.246762i | ||||
\(421\) | −3.24097 | + | 2.35470i | −0.157955 | + | 0.114761i | −0.663955 | − | 0.747772i | \(-0.731123\pi\) |
0.506000 | + | 0.862533i | \(0.331123\pi\) | |||||||
\(422\) | 1.36358 | + | 8.60928i | 0.0663779 | + | 0.419093i | ||||
\(423\) | 3.95998 | + | 2.01771i | 0.192541 | + | 0.0981044i | ||||
\(424\) | −3.38236 | − | 2.45743i | −0.164262 | − | 0.119343i | ||||
\(425\) | 3.25617 | + | 6.79997i | 0.157947 | + | 0.329847i | ||||
\(426\) | 4.48698 | + | 1.45791i | 0.217395 | + | 0.0706359i | ||||
\(427\) | −6.05485 | − | 3.08510i | −0.293015 | − | 0.149298i | ||||
\(428\) | −12.3335 | + | 12.3335i | −0.596162 | + | 0.596162i | ||||
\(429\) | −4.54853 | −0.219605 | ||||||||
\(430\) | 4.11308 | − | 1.28059i | 0.198350 | − | 0.0617554i | ||||
\(431\) | −23.8875 | + | 17.3553i | −1.15062 | + | 0.835973i | −0.988563 | − | 0.150808i | \(-0.951812\pi\) |
−0.162056 | + | 0.986782i | \(0.551812\pi\) | |||||||
\(432\) | 0.987688 | − | 0.156434i | 0.0475202 | − | 0.00752646i | ||||
\(433\) | 12.6442 | + | 12.6442i | 0.607642 | + | 0.607642i | 0.942329 | − | 0.334687i | \(-0.108631\pi\) |
−0.334687 | + | 0.942329i | \(0.608631\pi\) | |||||||
\(434\) | 12.4227 | + | 4.73471i | 0.596310 | + | 0.227274i | ||||
\(435\) | 3.89847 | + | 3.99579i | 0.186918 | + | 0.191584i | ||||
\(436\) | −2.92520 | − | 2.12529i | −0.140092 | − | 0.101783i | ||||
\(437\) | 0.546089 | − | 3.44787i | 0.0261230 | − | 0.164934i | ||||
\(438\) | 2.02481 | + | 1.03169i | 0.0967490 | + | 0.0492961i | ||||
\(439\) | 9.84225i | 0.469745i | 0.972026 | + | 0.234873i | \(0.0754673\pi\) | ||||
−0.972026 | + | 0.234873i | \(0.924533\pi\) | |||||||
\(440\) | 1.61146 | + | 1.65168i | 0.0768232 | + | 0.0787410i | ||||
\(441\) | 0.401308 | + | 1.23510i | 0.0191099 | + | 0.0588142i | ||||
\(442\) | −5.92174 | + | 3.01728i | −0.281668 | + | 0.143517i | ||||
\(443\) | −0.0831254 | − | 0.163143i | −0.00394940 | − | 0.00775114i | 0.889023 | − | 0.457862i | \(-0.151385\pi\) |
−0.892973 | + | 0.450111i | \(0.851385\pi\) | |||||||
\(444\) | 0.620704 | − | 0.854325i | 0.0294573 | − | 0.0405445i | ||||
\(445\) | −3.92860 | − | 12.6182i | −0.186234 | − | 0.598158i | ||||
\(446\) | 3.01892 | − | 4.15518i | 0.142950 | − | 0.196754i | ||||
\(447\) | 0.167449 | − | 1.05723i | 0.00792009 | − | 0.0500055i | ||||
\(448\) | −1.08401 | − | 2.12750i | −0.0512149 | − | 0.100515i | ||||
\(449\) | −18.1873 | + | 13.2139i | −0.858314 | + | 0.623602i | −0.927426 | − | 0.374007i | \(-0.877983\pi\) |
0.0691117 | + | 0.997609i | \(0.477983\pi\) | |||||||
\(450\) | −0.903676 | + | 4.91766i | −0.0425997 | + | 0.231821i | ||||
\(451\) | −0.816301 | − | 0.265232i | −0.0384381 | − | 0.0124893i | ||||
\(452\) | 8.13738 | + | 1.28883i | 0.382750 | + | 0.0606217i | ||||
\(453\) | −19.5333 | + | 3.09376i | −0.917753 | + | 0.145358i | ||||
\(454\) | 22.4542 | − | 7.29582i | 1.05383 | − | 0.342410i | ||||
\(455\) | −14.0659 | + | 18.8666i | −0.659422 | + | 0.884479i | ||||
\(456\) | 1.55959 | + | 0.506742i | 0.0730345 | + | 0.0237303i | ||||
\(457\) | 12.2951 | + | 24.1305i | 0.575141 | + | 1.12878i | 0.977033 | + | 0.213090i | \(0.0683529\pi\) |
−0.401892 | + | 0.915687i | \(0.631647\pi\) | |||||||
\(458\) | 0.822233 | − | 1.61372i | 0.0384204 | − | 0.0754043i | ||||
\(459\) | 1.50788i | 0.0703816i | ||||||||
\(460\) | 3.40710 | − | 3.32412i | 0.158857 | − | 0.154988i | ||||
\(461\) | −0.943778 | + | 0.306652i | −0.0439561 | + | 0.0142822i | −0.330913 | − | 0.943661i | \(-0.607357\pi\) |
0.286956 | + | 0.957944i | \(0.407357\pi\) | |||||||
\(462\) | 2.43376 | + | 0.385469i | 0.113229 | + | 0.0179337i | ||||
\(463\) | −1.18366 | − | 7.47335i | −0.0550095 | − | 0.347316i | −0.999807 | − | 0.0196605i | \(-0.993741\pi\) |
0.944797 | − | 0.327656i | \(-0.106259\pi\) | |||||||
\(464\) | 2.49658 | 0.115901 | ||||||||
\(465\) | −12.1515 | − | 2.70946i | −0.563512 | − | 0.125648i | ||||
\(466\) | −3.49692 | −0.161992 | ||||||||
\(467\) | 4.85174 | + | 30.6327i | 0.224512 | + | 1.41751i | 0.800146 | + | 0.599805i | \(0.204755\pi\) |
−0.575635 | + | 0.817707i | \(0.695245\pi\) | |||||||
\(468\) | −4.35334 | − | 0.689501i | −0.201233 | − | 0.0318722i | ||||
\(469\) | 13.1733 | − | 4.28028i | 0.608289 | − | 0.197645i | ||||
\(470\) | −0.122503 | + | 9.93720i | −0.00565066 | + | 0.458369i | ||||
\(471\) | − | 10.3356i | − | 0.476238i | ||||||
\(472\) | −0.874499 | + | 1.71630i | −0.0402521 | + | 0.0789992i | ||||
\(473\) | 0.902586 | + | 1.77142i | 0.0415009 | + | 0.0814502i | ||||
\(474\) | −2.74582 | − | 0.892173i | −0.126120 | − | 0.0409788i | ||||
\(475\) | −4.98146 | + | 6.51251i | −0.228565 | + | 0.298814i | ||||
\(476\) | 3.42421 | − | 1.11259i | 0.156948 | − | 0.0509956i | ||||
\(477\) | 4.12936 | − | 0.654026i | 0.189070 | − | 0.0299458i | ||||
\(478\) | −6.41924 | − | 1.01671i | −0.293609 | − | 0.0465031i | ||||
\(479\) | −13.9836 | − | 4.54356i | −0.638928 | − | 0.207600i | −0.0284023 | − | 0.999597i | \(-0.509042\pi\) |
−0.610526 | + | 0.791996i | \(0.709042\pi\) | |||||||
\(480\) | 1.29193 | + | 1.82508i | 0.0589682 | + | 0.0833032i | ||||
\(481\) | −3.76553 | + | 2.73582i | −0.171693 | + | 0.124742i | ||||
\(482\) | 4.05624 | + | 7.96081i | 0.184756 | + | 0.362605i | ||||
\(483\) | 0.795148 | − | 5.02037i | 0.0361805 | − | 0.228435i | ||||
\(484\) | 5.83966 | − | 8.03761i | 0.265439 | − | 0.365346i | ||||
\(485\) | −8.29655 | + | 15.7984i | −0.376727 | + | 0.717368i | ||||
\(486\) | −0.587785 | + | 0.809017i | −0.0266625 | + | 0.0366978i | ||||
\(487\) | 6.33767 | + | 12.4384i | 0.287187 | + | 0.563636i | 0.988857 | − | 0.148865i | \(-0.0475621\pi\) |
−0.701670 | + | 0.712502i | \(0.747562\pi\) | |||||||
\(488\) | 2.53580 | − | 1.29205i | 0.114790 | − | 0.0584886i | ||||
\(489\) | 0.369721 | + | 1.13789i | 0.0167194 | + | 0.0514570i | ||||
\(490\) | −2.07852 | + | 2.02789i | −0.0938978 | + | 0.0916109i | ||||
\(491\) | 26.2825i | 1.18611i | 0.805161 | + | 0.593057i | \(0.202079\pi\) | ||||
−0.805161 | + | 0.593057i | \(0.797921\pi\) | |||||||
\(492\) | −0.741065 | − | 0.377591i | −0.0334098 | − | 0.0170231i | ||||
\(493\) | −0.588902 | + | 3.71818i | −0.0265228 | + | 0.167458i | ||||
\(494\) | −5.84742 | − | 4.24840i | −0.263088 | − | 0.191145i | ||||
\(495\) | −2.30739 | − | 0.0284449i | −0.103709 | − | 0.00127850i | ||||
\(496\) | −4.66228 | + | 3.04354i | −0.209343 | + | 0.136659i | ||||
\(497\) | 7.96566 | + | 7.96566i | 0.357309 | + | 0.357309i | ||||
\(498\) | 3.69907 | − | 0.585876i | 0.165759 | − | 0.0262537i | ||||
\(499\) | −25.6127 | + | 18.6087i | −1.14658 | + | 0.833040i | −0.988023 | − | 0.154309i | \(-0.950685\pi\) |
−0.158559 | + | 0.987350i | \(0.550685\pi\) | |||||||
\(500\) | −10.7536 | + | 3.05941i | −0.480916 | + | 0.136821i | ||||
\(501\) | 16.9548 | 0.757487 | ||||||||
\(502\) | −18.7728 | + | 18.7728i | −0.837872 | + | 0.837872i | ||||
\(503\) | 20.0459 | + | 10.2139i | 0.893800 | + | 0.455414i | 0.839656 | − | 0.543119i | \(-0.182757\pi\) |
0.0541447 | + | 0.998533i | \(0.482757\pi\) | |||||||
\(504\) | 2.27088 | + | 0.737855i | 0.101153 | + | 0.0328667i | ||||
\(505\) | 2.03294 | − | 6.00388i | 0.0904645 | − | 0.267169i | ||||
\(506\) | 1.77727 | + | 1.29126i | 0.0790093 | + | 0.0574036i | ||||
\(507\) | 5.72647 | + | 2.91778i | 0.254322 | + | 0.129583i | ||||
\(508\) | 2.29000 | + | 14.4585i | 0.101602 | + | 0.641491i | ||||
\(509\) | −1.78366 | + | 1.29590i | −0.0790592 | + | 0.0574399i | −0.626613 | − | 0.779331i | \(-0.715559\pi\) |
0.547554 | + | 0.836771i | \(0.315559\pi\) | |||||||
\(510\) | −3.02286 | + | 1.49358i | −0.133854 | + | 0.0661367i | ||||
\(511\) | 3.18941 | + | 4.38984i | 0.141091 | + | 0.194195i | ||||
\(512\) | 0.987688 | + | 0.156434i | 0.0436501 | + | 0.00691349i | ||||
\(513\) | −1.46112 | + | 0.744476i | −0.0645099 | + | 0.0328694i | ||||
\(514\) | −5.22954 | − | 7.19784i | −0.230665 | − | 0.317483i | ||||
\(515\) | −27.7503 | + | 4.04521i | −1.22282 | + | 0.178253i | ||||
\(516\) | 0.595326 | + | 1.83223i | 0.0262078 | + | 0.0806593i | ||||
\(517\) | −4.53003 | + | 0.717486i | −0.199230 | + | 0.0315550i | ||||
\(518\) | 2.24665 | − | 1.14472i | 0.0987120 | − | 0.0502963i | ||||
\(519\) | 7.37760 | − | 22.7059i | 0.323841 | − | 0.996679i | ||||
\(520\) | −2.92980 | − | 9.41016i | −0.128480 | − | 0.412663i | ||||
\(521\) | −17.6052 | −0.771296 | −0.385648 | − | 0.922646i | \(-0.626022\pi\) | ||||
−0.385648 | + | 0.922646i | \(0.626022\pi\) | |||||||
\(522\) | −1.76535 | + | 1.76535i | −0.0772671 | + | 0.0772671i | ||||
\(523\) | −9.19990 | + | 18.0558i | −0.402284 | + | 0.789526i | −0.999925 | − | 0.0122375i | \(-0.996105\pi\) |
0.597642 | + | 0.801763i | \(0.296105\pi\) | |||||||
\(524\) | 7.47164 | + | 10.2838i | 0.326400 | + | 0.449251i | ||||
\(525\) | −7.25338 | + | 9.48272i | −0.316564 | + | 0.413860i | ||||
\(526\) | − | 0.165079i | − | 0.00719779i | ||||||
\(527\) | −3.43302 | − | 7.66151i | −0.149545 | − | 0.333741i | ||||
\(528\) | −0.729716 | + | 0.729716i | −0.0317568 | + | 0.0317568i | ||||
\(529\) | −10.8554 | + | 14.9412i | −0.471976 | + | 0.649619i | ||||
\(530\) | 5.40134 | + | 7.63036i | 0.234619 | + | 0.331442i | ||||
\(531\) | −0.595244 | − | 1.83197i | −0.0258314 | − | 0.0795008i | ||||
\(532\) | 2.76871 | + | 2.76871i | 0.120039 | + | 0.120039i | ||||
\(533\) | 2.59217 | + | 2.59217i | 0.112279 | + | 0.112279i | ||||
\(534\) | 5.62093 | − | 1.82635i | 0.243241 | − | 0.0790339i | ||||
\(535\) | 34.9666 | − | 17.2768i | 1.51174 | − | 0.746941i | ||||
\(536\) | −1.79260 | + | 5.51706i | −0.0774286 | + | 0.238301i | ||||
\(537\) | 1.79051 | + | 11.3049i | 0.0772663 | + | 0.487840i | ||||
\(538\) | −0.340677 | + | 0.668616i | −0.0146876 | + | 0.0288261i | ||||
\(539\) | −1.08423 | − | 0.787740i | −0.0467012 | − | 0.0339304i | ||||
\(540\) | −2.20406 | − | 0.376996i | −0.0948476 | − | 0.0162233i | ||||
\(541\) | −10.2168 | + | 31.4440i | −0.439253 | + | 1.35188i | 0.449412 | + | 0.893324i | \(0.351633\pi\) |
−0.888665 | + | 0.458557i | \(0.848367\pi\) | |||||||
\(542\) | 0.165979 | − | 1.04795i | 0.00712942 | − | 0.0450134i | ||||
\(543\) | −0.427898 | + | 2.70164i | −0.0183629 | + | 0.115939i | ||||
\(544\) | −0.465959 | + | 1.43408i | −0.0199778 | + | 0.0614855i | ||||
\(545\) | 4.67129 | + | 6.59904i | 0.200096 | + | 0.282672i | ||||
\(546\) | −8.51429 | − | 6.18600i | −0.364378 | − | 0.264736i | ||||
\(547\) | −17.8691 | + | 35.0701i | −0.764028 | + | 1.49949i | 0.0994166 | + | 0.995046i | \(0.468302\pi\) |
−0.863445 | + | 0.504444i | \(0.831698\pi\) | |||||||
\(548\) | 2.81293 | + | 17.7602i | 0.120163 | + | 0.758677i | ||||
\(549\) | −0.879461 | + | 2.70670i | −0.0375345 | + | 0.115519i | ||||
\(550\) | −2.22848 | − | 4.65383i | −0.0950229 | − | 0.198440i | ||||
\(551\) | −3.89363 | + | 1.26512i | −0.165874 | + | 0.0538959i | ||||
\(552\) | 1.50526 | + | 1.50526i | 0.0640682 | + | 0.0640682i | ||||
\(553\) | −4.87461 | − | 4.87461i | −0.207290 | − | 0.207290i | ||||
\(554\) | −9.43031 | − | 29.0235i | −0.400655 | − | 1.23309i | ||||
\(555\) | −1.92729 | + | 1.36428i | −0.0818090 | + | 0.0579105i | ||||
\(556\) | −6.42069 | + | 8.83732i | −0.272298 | + | 0.374786i | ||||
\(557\) | 10.7224 | − | 10.7224i | 0.454324 | − | 0.454324i | −0.442463 | − | 0.896787i | \(-0.645895\pi\) |
0.896787 | + | 0.442463i | \(0.145895\pi\) | |||||||
\(558\) | 1.14463 | − | 5.44884i | 0.0484559 | − | 0.230668i | ||||
\(559\) | − | 8.49132i | − | 0.359145i | ||||||
\(560\) | 0.770162 | + | 5.28333i | 0.0325453 | + | 0.223261i | ||||
\(561\) | −0.914646 | − | 1.25890i | −0.0386164 | − | 0.0531509i | ||||
\(562\) | −3.63118 | + | 7.12660i | −0.153172 | + | 0.300617i | ||||
\(563\) | −22.1485 | + | 22.1485i | −0.933449 | + | 0.933449i | −0.997920 | − | 0.0644702i | \(-0.979464\pi\) |
0.0644702 | + | 0.997920i | \(0.479464\pi\) | |||||||
\(564\) | −4.44439 | −0.187142 | ||||||||
\(565\) | −16.3103 | − | 8.56537i | −0.686178 | − | 0.360348i | ||||
\(566\) | 0.101901 | − | 0.313620i | 0.00428324 | − | 0.0131824i | ||||
\(567\) | −2.12750 | + | 1.08401i | −0.0893466 | + | 0.0455243i | ||||
\(568\) | −4.65981 | + | 0.738041i | −0.195521 | + | 0.0309675i | ||||
\(569\) | 1.05038 | + | 3.23274i | 0.0440342 | + | 0.135523i | 0.970657 | − | 0.240470i | \(-0.0773015\pi\) |
−0.926622 | + | 0.375993i | \(0.877302\pi\) | |||||||
\(570\) | −2.93972 | − | 2.19170i | −0.123131 | − | 0.0918004i | ||||
\(571\) | −0.876023 | − | 1.20574i | −0.0366604 | − | 0.0504588i | 0.790293 | − | 0.612729i | \(-0.209928\pi\) |
−0.826954 | + | 0.562270i | \(0.809928\pi\) | |||||||
\(572\) | 4.05277 | − | 2.06499i | 0.169455 | − | 0.0863416i | ||||
\(573\) | 8.74110 | + | 1.38445i | 0.365164 | + | 0.0578364i | ||||
\(574\) | −1.16730 | − | 1.60665i | −0.0487221 | − | 0.0670603i | ||||
\(575\) | −9.59994 | + | 4.59693i | −0.400345 | + | 0.191705i | ||||
\(576\) | −0.809017 | + | 0.587785i | −0.0337090 | + | 0.0244911i | ||||
\(577\) | 2.18955 | + | 13.8243i | 0.0911521 | + | 0.575511i | 0.990417 | + | 0.138108i | \(0.0441020\pi\) |
−0.899265 | + | 0.437404i | \(0.855898\pi\) | |||||||
\(578\) | 13.1212 | + | 6.68560i | 0.545772 | + | 0.278084i | ||||
\(579\) | −11.0403 | − | 8.02124i | −0.458819 | − | 0.333351i | ||||
\(580\) | −5.28762 | − | 1.79041i | −0.219556 | − | 0.0743426i | ||||
\(581\) | 8.50487 | + | 2.76340i | 0.352842 | + | 0.114645i | ||||
\(582\) | −7.11045 | − | 3.62296i | −0.294738 | − | 0.150176i | ||||
\(583\) | −3.05082 | + | 3.05082i | −0.126352 | + | 0.126352i | ||||
\(584\) | −2.27249 | −0.0940365 | ||||||||
\(585\) | 8.72567 | + | 4.58230i | 0.360762 | + | 0.189455i | ||||
\(586\) | 8.50238 | − | 6.17734i | 0.351230 | − | 0.255184i | ||||
\(587\) | −16.8120 | + | 2.66276i | −0.693906 | + | 0.109904i | −0.493418 | − | 0.869792i | \(-0.664253\pi\) |
−0.200488 | + | 0.979696i | \(0.564253\pi\) | |||||||
\(588\) | −0.918291 | − | 0.918291i | −0.0378697 | − | 0.0378697i | ||||
\(589\) | 5.72896 | − | 7.10924i | 0.236058 | − | 0.292931i | ||||
\(590\) | 3.08298 | − | 3.00789i | 0.126924 | − | 0.123833i | ||||
\(591\) | 20.5557 | + | 14.9346i | 0.845547 | + | 0.614326i | ||||
\(592\) | −0.165195 | + | 1.04300i | −0.00678949 | + | 0.0428672i | ||||
\(593\) | −5.14121 | − | 2.61958i | −0.211124 | − | 0.107573i | 0.345231 | − | 0.938518i | \(-0.387801\pi\) |
−0.556355 | + | 0.830945i | \(0.687801\pi\) | |||||||
\(594\) | − | 1.03197i | − | 0.0423424i | ||||||
\(595\) | −8.05019 | − | 0.0992408i | −0.330026 | − | 0.00406847i | ||||
\(596\) | 0.330776 | + | 1.01802i | 0.0135491 | + | 0.0416999i | ||||
\(597\) | 21.8998 | − | 11.1585i | 0.896300 | − | 0.456688i | ||||
\(598\) | −4.25967 | − | 8.36008i | −0.174191 | − | 0.341869i | ||||
\(599\) | 26.4563 | − | 36.4140i | 1.08097 | − | 1.48783i | 0.222532 | − | 0.974925i | \(-0.428568\pi\) |
0.858443 | − | 0.512909i | \(-0.171432\pi\) | |||||||
\(600\) | −1.42739 | − | 4.79193i | −0.0582729 | − | 0.195630i | ||||
\(601\) | 6.06156 | − | 8.34303i | 0.247256 | − | 0.340319i | −0.667292 | − | 0.744796i | \(-0.732547\pi\) |
0.914548 | + | 0.404477i | \(0.132547\pi\) | |||||||
\(602\) | −0.719604 | + | 4.54340i | −0.0293289 | + | 0.185175i | ||||
\(603\) | −2.63359 | − | 5.16871i | −0.107248 | − | 0.210486i | ||||
\(604\) | 15.9997 | − | 11.6245i | 0.651020 | − | 0.472993i | ||||
\(605\) | −18.1322 | + | 12.8353i | −0.737180 | + | 0.521831i | ||||
\(606\) | 2.69602 | + | 0.875991i | 0.109518 | + | 0.0355847i | ||||
\(607\) | 2.07907 | + | 0.329292i | 0.0843868 | + | 0.0133656i | 0.198485 | − | 0.980104i | \(-0.436398\pi\) |
−0.114098 | + | 0.993469i | \(0.536398\pi\) | |||||||
\(608\) | −1.61966 | + | 0.256529i | −0.0656859 | + | 0.0104036i | ||||
\(609\) | −5.66943 | + | 1.84211i | −0.229737 | + | 0.0746461i | ||||
\(610\) | −6.29728 | + | 0.917968i | −0.254969 | + | 0.0371674i | ||||
\(611\) | 18.6303 | + | 6.05336i | 0.753703 | + | 0.244893i | ||||
\(612\) | −0.684561 | − | 1.34353i | −0.0276718 | − | 0.0543089i | ||||
\(613\) | 21.2948 | − | 41.7934i | 0.860089 | − | 1.68802i | 0.144494 | − | 0.989506i | \(-0.453845\pi\) |
0.715596 | − | 0.698515i | \(-0.246155\pi\) | |||||||
\(614\) | − | 11.6500i | − | 0.470154i | ||||||
\(615\) | 1.29875 | + | 1.33117i | 0.0523706 | + | 0.0536779i | ||||
\(616\) | −2.34349 | + | 0.761447i | −0.0944220 | + | 0.0306796i | ||||
\(617\) | −18.6788 | − | 2.95843i | −0.751980 | − | 0.119102i | −0.231334 | − | 0.972874i | \(-0.574309\pi\) |
−0.520646 | + | 0.853773i | \(0.674309\pi\) | |||||||
\(618\) | −1.96192 | − | 12.3870i | −0.0789198 | − | 0.498280i | ||||
\(619\) | −40.9933 | −1.64766 | −0.823830 | − | 0.566837i | \(-0.808167\pi\) | ||||
−0.823830 | + | 0.566837i | \(0.808167\pi\) | |||||||
\(620\) | 12.0571 | − | 3.10252i | 0.484226 | − | 0.124600i | ||||
\(621\) | −2.12876 | −0.0854242 | ||||||||
\(622\) | 1.91936 | + | 12.1184i | 0.0769593 | + | 0.485902i | ||||
\(623\) | 13.9383 | + | 2.20761i | 0.558427 | + | 0.0884461i | ||||
\(624\) | 4.19188 | − | 1.36202i | 0.167810 | − | 0.0545246i | ||||
\(625\) | 24.9696 | + | 1.23221i | 0.998785 | + | 0.0492885i | ||||
\(626\) | − | 30.9928i | − | 1.23872i | ||||||
\(627\) | 0.768280 | − | 1.50784i | 0.0306822 | − | 0.0602171i | ||||
\(628\) | 4.69225 | + | 9.20905i | 0.187241 | + | 0.367481i | ||||
\(629\) | −1.51439 | − | 0.492055i | −0.0603827 | − | 0.0196195i | ||||
\(630\) | −4.28046 | − | 3.19129i | −0.170538 | − | 0.127144i | ||||
\(631\) | −11.3528 | + | 3.68873i | −0.451946 | + | 0.146846i | −0.526141 | − | 0.850398i | \(-0.676361\pi\) |
0.0741944 | + | 0.997244i | \(0.476361\pi\) | |||||||
\(632\) | 2.85159 | − | 0.451647i | 0.113430 | − | 0.0179655i | ||||
\(633\) | 8.60928 | + | 1.36358i | 0.342188 | + | 0.0541973i | ||||
\(634\) | 14.6831 | + | 4.77083i | 0.583140 | + | 0.189474i | ||||
\(635\) | 5.51872 | − | 32.2645i | 0.219004 | − | 1.28038i | ||||
\(636\) | −3.38236 | + | 2.45743i | −0.134119 | + | 0.0974435i | ||||
\(637\) | 2.59863 | + | 5.10010i | 0.102962 | + | 0.202073i | ||||
\(638\) | 0.403038 | − | 2.54468i | 0.0159564 | − | 0.100745i | ||||
\(639\) | 2.77311 | − | 3.81686i | 0.109702 | − | 0.150993i | ||||
\(640\) | −1.97969 | − | 1.03964i | −0.0782540 | − | 0.0410952i | ||||
\(641\) | −29.4816 | + | 40.5780i | −1.16445 | + | 1.60273i | −0.471230 | + | 0.882010i | \(0.656190\pi\) |
−0.693224 | + | 0.720723i | \(0.743810\pi\) | |||||||
\(642\) | 7.91860 | + | 15.5411i | 0.312522 | + | 0.613359i | ||||
\(643\) | 7.16637 | − | 3.65145i | 0.282614 | − | 0.143999i | −0.306938 | − | 0.951730i | \(-0.599304\pi\) |
0.589552 | + | 0.807731i | \(0.299304\pi\) | |||||||
\(644\) | 1.57072 | + | 4.83417i | 0.0618949 | + | 0.190493i | ||||
\(645\) | 0.0531017 | − | 4.30749i | 0.00209088 | − | 0.169607i | ||||
\(646\) | − | 2.47269i | − | 0.0972867i | ||||||
\(647\) | 33.8235 | + | 17.2339i | 1.32974 | + | 0.677536i | 0.967100 | − | 0.254395i | \(-0.0818762\pi\) |
0.362638 | + | 0.931930i | \(0.381876\pi\) | |||||||
\(648\) | 0.156434 | − | 0.987688i | 0.00614533 | − | 0.0388001i | ||||
\(649\) | 1.60820 | + | 1.16842i | 0.0631272 | + | 0.0458646i | ||||
\(650\) | −0.543276 | + | 22.0313i | −0.0213090 | + | 0.864140i | ||||
\(651\) | 8.34181 | − | 10.3516i | 0.326941 | − | 0.405711i | ||||
\(652\) | −0.846013 | − | 0.846013i | −0.0331324 | − | 0.0331324i | ||||
\(653\) | 38.2779 | − | 6.06263i | 1.49793 | − | 0.237249i | 0.646985 | − | 0.762502i | \(-0.276029\pi\) |
0.850946 | + | 0.525253i | \(0.176029\pi\) | |||||||
\(654\) | −2.92520 | + | 2.12529i | −0.114385 | + | 0.0831052i | ||||
\(655\) | −8.44954 | − | 27.1389i | −0.330151 | − | 1.06040i | ||||
\(656\) | 0.831716 | 0.0324731 | ||||||||
\(657\) | 1.60690 | − | 1.60690i | 0.0626910 | − | 0.0626910i | ||||
\(658\) | −9.45543 | − | 4.81778i | −0.368611 | − | 0.187817i | ||||
\(659\) | −0.457661 | − | 0.148703i | −0.0178279 | − | 0.00579265i | 0.300089 | − | 0.953911i | \(-0.402983\pi\) |
−0.317917 | + | 0.948118i | \(0.602983\pi\) | |||||||
\(660\) | 2.06881 | − | 1.02219i | 0.0805284 | − | 0.0397886i | ||||
\(661\) | 33.2938 | + | 24.1894i | 1.29498 | + | 0.940858i | 0.999893 | − | 0.0146131i | \(-0.00465165\pi\) |
0.295086 | + | 0.955471i | \(0.404652\pi\) | |||||||
\(662\) | −21.1709 | − | 10.7871i | −0.822831 | − | 0.419253i | ||||
\(663\) | 1.03968 | + | 6.56430i | 0.0403779 | + | 0.254936i | ||||
\(664\) | −3.02992 | + | 2.20136i | −0.117584 | + | 0.0854295i | ||||
\(665\) | −3.87842 | − | 7.84955i | −0.150399 | − | 0.304393i | ||||
\(666\) | −0.620704 | − | 0.854325i | −0.0240518 | − | 0.0331044i | ||||
\(667\) | −5.24918 | − | 0.831389i | −0.203249 | − | 0.0321915i | ||||
\(668\) | −15.1069 | + | 7.69734i | −0.584503 | + | 0.297819i | ||||
\(669\) | −3.01892 | − | 4.15518i | −0.116718 | − | 0.160649i | ||||
\(670\) | 7.75317 | − | 10.3993i | 0.299531 | − | 0.401760i | ||||
\(671\) | −0.907581 | − | 2.79325i | −0.0350368 | − | 0.107832i | ||||
\(672\) | −2.35835 | + | 0.373526i | −0.0909754 | + | 0.0144091i | ||||
\(673\) | 27.4107 | − | 13.9665i | 1.05661 | − | 0.538368i | 0.162725 | − | 0.986671i | \(-0.447972\pi\) |
0.893881 | + | 0.448304i | \(0.147972\pi\) | |||||||
\(674\) | 5.42403 | − | 16.6934i | 0.208926 | − | 0.643007i | ||||
\(675\) | 4.39772 | + | 2.37909i | 0.169268 | + | 0.0915711i | ||||
\(676\) | −6.42697 | −0.247191 | ||||||||
\(677\) | 3.21458 | − | 3.21458i | 0.123546 | − | 0.123546i | −0.642630 | − | 0.766177i | \(-0.722157\pi\) |
0.766177 | + | 0.642630i | \(0.222157\pi\) | |||||||
\(678\) | 3.74034 | − | 7.34084i | 0.143647 | − | 0.281923i | ||||
\(679\) | −11.2001 | − | 15.4157i | −0.429822 | − | 0.591599i | ||||
\(680\) | 2.01532 | − | 2.70314i | 0.0772839 | − | 0.103661i | ||||
\(681\) | − | 23.6098i | − | 0.904728i | ||||||
\(682\) | 2.34952 | + | 5.24346i | 0.0899678 | + | 0.200782i | ||||
\(683\) | 11.2633 | − | 11.2633i | 0.430977 | − | 0.430977i | −0.457983 | − | 0.888961i | \(-0.651428\pi\) |
0.888961 | + | 0.457983i | \(0.151428\pi\) | |||||||
\(684\) | 0.963880 | − | 1.32667i | 0.0368549 | − | 0.0507264i | ||||
\(685\) | 6.77897 | − | 39.6324i | 0.259011 | − | 1.51428i | ||||
\(686\) | −6.12321 | − | 18.8453i | −0.233785 | − | 0.719516i | ||||
\(687\) | −1.28066 | − | 1.28066i | −0.0488601 | − | 0.0488601i | ||||
\(688\) | −1.36225 | − | 1.36225i | −0.0519354 | − | 0.0519354i | ||||
\(689\) | 17.5255 | − | 5.69440i | 0.667670 | − | 0.216939i | ||||
\(690\) | −2.10857 | − | 4.26756i | −0.0802721 | − | 0.162463i | ||||
\(691\) | 1.85775 | − | 5.71756i | 0.0706720 | − | 0.217506i | −0.909482 | − | 0.415743i | \(-0.863522\pi\) |
0.980154 | + | 0.198237i | \(0.0635216\pi\) | |||||||
\(692\) | 3.73478 | + | 23.5805i | 0.141975 | + | 0.896395i | ||||
\(693\) | 1.11868 | − | 2.19552i | 0.0424950 | − | 0.0834011i | ||||
\(694\) | 6.24352 | + | 4.53618i | 0.237001 | + | 0.172191i | ||||
\(695\) | 19.9363 | − | 14.1124i | 0.756228 | − | 0.535314i | ||||
\(696\) | 0.771484 | − | 2.37438i | 0.0292430 | − | 0.0900008i | ||||
\(697\) | −0.196188 | + | 1.23868i | −0.00743116 | + | 0.0469185i | ||||
\(698\) | −4.78979 | + | 30.2415i | −0.181296 | + | 1.14466i | ||||
\(699\) | −1.08061 | + | 3.32577i | −0.0408724 | + | 0.125792i | ||||
\(700\) | 2.15775 | − | 11.7421i | 0.0815553 | − | 0.443811i | ||||
\(701\) | −19.3871 | − | 14.0855i | −0.732240 | − | 0.532004i | 0.158031 | − | 0.987434i | \(-0.449485\pi\) |
−0.890271 | + | 0.455431i | \(0.849485\pi\) | |||||||
\(702\) | −2.00101 | + | 3.92720i | −0.0755233 | + | 0.148223i | ||||
\(703\) | −0.270896 | − | 1.71037i | −0.0102170 | − | 0.0645078i | ||||
\(704\) | 0.318898 | − | 0.981466i | 0.0120189 | − | 0.0369904i | ||||
\(705\) | 9.41298 | + | 3.18727i | 0.354513 | + | 0.120040i | ||||
\(706\) | 23.1275 | − | 7.51458i | 0.870415 | − | 0.282815i | ||||
\(707\) | 4.78620 | + | 4.78620i | 0.180003 | + | 0.180003i | ||||
\(708\) | 1.36206 | + | 1.36206i | 0.0511895 | + | 0.0511895i | ||||
\(709\) | 0.231432 | + | 0.712276i | 0.00869163 | + | 0.0267501i | 0.955308 | − | 0.295611i | \(-0.0955233\pi\) |
−0.946617 | + | 0.322361i | \(0.895523\pi\) | |||||||
\(710\) | 10.3985 | + | 1.77863i | 0.390249 | + | 0.0667507i | ||||
\(711\) | −1.69701 | + | 2.33574i | −0.0636430 | + | 0.0875970i | ||||
\(712\) | −4.17914 | + | 4.17914i | −0.156620 | + | 0.156620i | ||||
\(713\) | 10.8162 | − | 4.84660i | 0.405071 | − | 0.181507i | ||||
\(714\) | − | 3.60043i | − | 0.134743i | ||||||
\(715\) | −10.0645 | + | 1.46712i | −0.376389 | + | 0.0548671i | ||||
\(716\) | −6.72765 | − | 9.25982i | −0.251424 | − | 0.346056i | ||||
\(717\) | −2.95060 | + | 5.79088i | −0.110192 | + | 0.216264i | ||||
\(718\) | 17.7346 | − | 17.7346i | 0.661849 | − | 0.661849i | ||||
\(719\) | 10.6446 | 0.396977 | 0.198489 | − | 0.980103i | \(-0.436397\pi\) | ||||
0.198489 | + | 0.980103i | \(0.436397\pi\) | |||||||
\(720\) | 2.13498 | − | 0.664716i | 0.0795661 | − | 0.0247725i | ||||
\(721\) | 9.25377 | − | 28.4802i | 0.344628 | − | 1.06066i | ||||
\(722\) | −14.5331 | + | 7.40499i | −0.540866 | + | 0.275585i | ||||
\(723\) | 8.82463 | − | 1.39768i | 0.328191 | − | 0.0519804i | ||||
\(724\) | −0.845260 | − | 2.60144i | −0.0314138 | − | 0.0966818i | ||||
\(725\) | 9.91492 | + | 7.58398i | 0.368231 | + | 0.281662i | ||||
\(726\) | −5.83966 | − | 8.03761i | −0.216730 | − | 0.298304i | ||||
\(727\) | 20.0163 | − | 10.1988i | 0.742364 | − | 0.378253i | −0.0415389 | − | 0.999137i | \(-0.513226\pi\) |
0.783903 | + | 0.620884i | \(0.213226\pi\) | |||||||
\(728\) | 10.3947 | + | 1.64635i | 0.385252 | + | 0.0610180i | ||||
\(729\) | 0.587785 | + | 0.809017i | 0.0217698 | + | 0.0299636i | ||||
\(730\) | 4.81302 | + | 1.62971i | 0.178138 | + | 0.0603182i | ||||
\(731\) | 2.35015 | − | 1.70749i | 0.0869235 | − | 0.0631536i | ||||
\(732\) | −0.445212 | − | 2.81096i | −0.0164555 | − | 0.103896i | ||||
\(733\) | −17.2614 | − | 8.79511i | −0.637563 | − | 0.324855i | 0.105158 | − | 0.994456i | \(-0.466465\pi\) |
−0.742721 | + | 0.669601i | \(0.766465\pi\) | |||||||
\(734\) | −18.0885 | − | 13.1421i | −0.667661 | − | 0.485084i | ||||
\(735\) | 1.28635 | + | 2.60344i | 0.0474476 | + | 0.0960294i | ||||
\(736\) | −2.02457 | − | 0.657823i | −0.0746267 | − | 0.0242477i | ||||
\(737\) | 5.33398 | + | 2.71780i | 0.196480 | + | 0.100111i | ||||
\(738\) | −0.588112 | + | 0.588112i | −0.0216487 | + | 0.0216487i | ||||
\(739\) | −5.11115 | −0.188017 | −0.0940084 | − | 0.995571i | \(-0.529968\pi\) | ||||
−0.0940084 | + | 0.995571i | \(0.529968\pi\) | |||||||
\(740\) | 1.09786 | − | 2.09056i | 0.0403581 | − | 0.0768504i | ||||
\(741\) | −5.84742 | + | 4.24840i | −0.214810 | + | 0.156069i | ||||
\(742\) | −9.85987 | + | 1.56165i | −0.361967 | + | 0.0573300i | ||||
\(743\) | 33.9341 | + | 33.9341i | 1.24492 | + | 1.24492i | 0.957935 | + | 0.286985i | \(0.0926530\pi\) |
0.286985 | + | 0.957935i | \(0.407347\pi\) | |||||||
\(744\) | 1.45385 | + | 5.37460i | 0.0533008 | + | 0.197042i | ||||
\(745\) | 0.0295044 | − | 2.39333i | 0.00108096 | − | 0.0876850i | ||||
\(746\) | 24.0246 | + | 17.4549i | 0.879604 | + | 0.639070i | ||||
\(747\) | 0.585876 | − | 3.69907i | 0.0214361 | − | 0.135342i | ||||
\(748\) | 1.38649 | + | 0.706450i | 0.0506949 | + | 0.0258304i | ||||
\(749\) | 41.6476i | 1.52177i | ||||||||
\(750\) | −0.413370 | + | 11.1727i | −0.0150941 | + | 0.407969i | ||||
\(751\) | −10.9898 | − | 33.8233i | −0.401025 | − | 1.23423i | −0.924169 | − | 0.381984i | \(-0.875241\pi\) |
0.523144 | − | 0.852244i | \(-0.324759\pi\) | |||||||
\(752\) | 3.95998 | − | 2.01771i | 0.144406 | − | 0.0735783i | ||||
\(753\) | 12.0529 | + | 23.6551i | 0.439232 | + | 0.862041i | ||||
\(754\) | −6.46794 | + | 8.90236i | −0.235548 | + | 0.324205i | ||||
\(755\) | −42.2230 | + | 13.1459i | −1.53665 | + | 0.478429i | ||||
\(756\) | 1.40348 | − | 1.93173i | 0.0510442 | − | 0.0702563i | ||||
\(757\) | 6.63839 | − | 41.9132i | 0.241276 | − | 1.52336i | −0.508148 | − | 0.861270i | \(-0.669670\pi\) |
0.749424 | − | 0.662090i | \(-0.230330\pi\) | |||||||
\(758\) | 2.42069 | + | 4.75087i | 0.0879235 | + | 0.172559i | ||||
\(759\) | 1.77727 | − | 1.29126i | 0.0645108 | − | 0.0468699i | ||||
\(760\) | 3.61433 | + | 0.618217i | 0.131105 | + | 0.0224251i | ||||
\(761\) | 9.18714 | + | 2.98508i | 0.333034 | + | 0.108209i | 0.470760 | − | 0.882261i | \(-0.343980\pi\) |
−0.137727 | + | 0.990470i | \(0.543980\pi\) | |||||||
\(762\) | 14.4585 | + | 2.29000i | 0.523775 | + | 0.0829578i | ||||
\(763\) | −8.52721 | + | 1.35058i | −0.308706 | + | 0.0488942i | ||||
\(764\) | −8.41690 | + | 2.73482i | −0.304513 | + | 0.0989422i | ||||
\(765\) | 0.486361 | + | 3.33645i | 0.0175844 | + | 0.120630i | ||||
\(766\) | −23.6642 | − | 7.68897i | −0.855023 | − | 0.277814i | ||||
\(767\) | −3.85445 | − | 7.56478i | −0.139176 | − | 0.273148i | ||||
\(768\) | 0.453990 | − | 0.891007i | 0.0163820 | − | 0.0321514i | ||||
\(769\) | − | 1.67588i | − | 0.0604339i | −0.999543 | − | 0.0302170i | \(-0.990380\pi\) | ||
0.999543 | − | 0.0302170i | \(-0.00961983\pi\) | |||||||
\(770\) | 5.50946 | + | 0.0679193i | 0.198547 | + | 0.00244764i | ||||
\(771\) | −8.46157 | + | 2.74933i | −0.304736 | + | 0.0990147i | ||||
\(772\) | 13.4785 | + | 2.13479i | 0.485103 | + | 0.0768328i | ||||
\(773\) | −4.52433 | − | 28.5655i | −0.162729 | − | 1.02743i | −0.924944 | − | 0.380104i | \(-0.875888\pi\) |
0.762215 | − | 0.647324i | \(-0.224112\pi\) | |||||||
\(774\) | 1.92652 | 0.0692472 | ||||||||
\(775\) | −27.7613 | − | 2.07574i | −0.997216 | − | 0.0745627i | ||||
\(776\) | 7.98025 | 0.286474 | ||||||||
\(777\) | −0.394445 | − | 2.49043i | −0.0141506 | − | 0.0893436i | ||||
\(778\) | −10.3003 | − | 1.63140i | −0.369283 | − | 0.0584887i | ||||
\(779\) | −1.29714 | + | 0.421465i | −0.0464747 | + | 0.0151006i | ||||
\(780\) | −9.85495 | − | 0.121489i | −0.352864 | − | 0.00435002i | ||||
\(781\) | 4.86875i | 0.174217i | ||||||||
\(782\) | 1.45727 | − | 2.86005i | 0.0521118 | − | 0.102275i | ||||
\(783\) | 1.13342 | + | 2.22447i | 0.0405052 | + | 0.0794959i | ||||
\(784\) | 1.23510 | + | 0.401308i | 0.0441107 | + | 0.0143324i | ||||
\(785\) | −3.33371 | − | 22.8693i | −0.118985 | − | 0.816241i | ||||
\(786\) | 12.0894 | − | 3.92807i | 0.431213 | − | 0.140110i | ||||
\(787\) | 20.3571 | − | 3.22424i | 0.725651 | − | 0.114932i | 0.217329 | − | 0.976098i | \(-0.430266\pi\) |
0.508323 | + | 0.861167i | \(0.330266\pi\) | |||||||
\(788\) | −25.0954 | − | 3.97472i | −0.893986 | − | 0.141594i | ||||
\(789\) | −0.157000 | − | 0.0510122i | −0.00558933 | − | 0.00181608i | ||||
\(790\) | −6.36341 | − | 1.08844i | −0.226400 | − | 0.0387248i | ||||
\(791\) | 15.9152 | − | 11.5630i | 0.565878 | − | 0.411134i | ||||
\(792\) | 0.468506 | + | 0.919496i | 0.0166477 | + | 0.0326729i | ||||
\(793\) | −1.96232 | + | 12.3896i | −0.0696839 | + | 0.439967i | ||||
\(794\) | 3.53219 | − | 4.86165i | 0.125353 | − | 0.172533i | ||||
\(795\) | 8.92601 | − | 2.77907i | 0.316573 | − | 0.0985633i | ||||
\(796\) | −14.4470 | + | 19.8846i | −0.512061 | + | 0.704792i | ||||
\(797\) | 6.52923 | + | 12.8143i | 0.231277 | + | 0.453907i | 0.977256 | − | 0.212062i | \(-0.0680180\pi\) |
−0.745979 | + | 0.665970i | \(0.768018\pi\) | |||||||
\(798\) | 3.48878 | − | 1.77762i | 0.123501 | − | 0.0629271i | ||||
\(799\) | 2.07090 | + | 6.37359i | 0.0732633 | + | 0.225481i | ||||
\(800\) | 3.44730 | + | 3.62162i | 0.121881 | + | 0.128043i | ||||
\(801\) | − | 5.91019i | − | 0.208826i | ||||||
\(802\) | −24.2509 | − | 12.3564i | −0.856328 | − | 0.436321i | ||||
\(803\) | −0.366863 | + | 2.31628i | −0.0129463 | + | 0.0817399i | ||||
\(804\) | 4.69309 | + | 3.40973i | 0.165513 | + | 0.120252i | ||||
\(805\) | 0.140104 | − | 11.3649i | 0.00493803 | − | 0.400562i | ||||
\(806\) | 1.22597 | − | 24.5099i | 0.0431828 | − | 0.863323i | ||||
\(807\) | 0.530616 | + | 0.530616i | 0.0186786 | + | 0.0186786i | ||||
\(808\) | −2.79986 | + | 0.443455i | −0.0984989 | + | 0.0156007i | ||||
\(809\) | 4.44077 | − | 3.22641i | 0.156129 | − | 0.113435i | −0.506978 | − | 0.861959i | \(-0.669237\pi\) |
0.663107 | + | 0.748525i | \(0.269237\pi\) | |||||||
\(810\) | −1.03964 | + | 1.97969i | −0.0365291 | + | 0.0695591i | ||||
\(811\) | 7.84673 | 0.275536 | 0.137768 | − | 0.990465i | \(-0.456007\pi\) | ||||
0.137768 | + | 0.990465i | \(0.456007\pi\) | |||||||
\(812\) | 4.21520 | − | 4.21520i | 0.147925 | − | 0.147925i | ||||
\(813\) | −0.945371 | − | 0.481691i | −0.0331556 | − | 0.0168936i | ||||
\(814\) | 1.03643 | + | 0.336757i | 0.0363269 | + | 0.0118033i | ||||
\(815\) | 1.18510 | + | 2.39853i | 0.0415122 | + | 0.0840167i | ||||
\(816\) | 1.21990 | + | 0.886307i | 0.0427050 | + | 0.0310270i | ||||
\(817\) | 2.81487 | + | 1.43425i | 0.0984797 | + | 0.0501779i | ||||
\(818\) | 0.949687 | + | 5.99609i | 0.0332050 | + | 0.209648i | ||||
\(819\) | −8.51429 | + | 6.18600i | −0.297514 | + | 0.216156i | ||||
\(820\) | −1.76153 | − | 0.596461i | −0.0615153 | − | 0.0208293i | ||||
\(821\) | −16.1603 | − | 22.2427i | −0.563998 | − | 0.776277i | 0.427830 | − | 0.903859i | \(-0.359278\pi\) |
−0.991828 | + | 0.127582i | \(0.959278\pi\) | |||||||
\(822\) | 17.7602 | + | 2.81293i | 0.619457 | + | 0.0981123i | ||||
\(823\) | −19.2928 | + | 9.83016i | −0.672504 | + | 0.342658i | −0.756673 | − | 0.653794i | \(-0.773176\pi\) |
0.0841691 | + | 0.996451i | \(0.473176\pi\) | |||||||
\(824\) | 7.37168 | + | 10.1462i | 0.256805 | + | 0.353461i | ||||
\(825\) | −5.11469 | + | 0.681303i | −0.178071 | + | 0.0237199i | ||||
\(826\) | 1.42129 | + | 4.37429i | 0.0494531 | + | 0.152201i | ||||
\(827\) | −37.0177 | + | 5.86303i | −1.28723 | + | 0.203877i | −0.762276 | − | 0.647252i | \(-0.775918\pi\) |
−0.524956 | + | 0.851130i | \(0.675918\pi\) | |||||||
\(828\) | 1.89674 | − | 0.966437i | 0.0659163 | − | 0.0335860i | ||||
\(829\) | −2.34925 | + | 7.23025i | −0.0815929 | + | 0.251117i | −0.983528 | − | 0.180754i | \(-0.942146\pi\) |
0.901936 | + | 0.431871i | \(0.142146\pi\) | |||||||
\(830\) | 7.99590 | − | 2.48948i | 0.277542 | − | 0.0864112i | ||||
\(831\) | −30.5171 | −1.05863 | ||||||||
\(832\) | −3.11665 | + | 3.11665i | −0.108050 | + | 0.108050i | ||||
\(833\) | −0.889013 | + | 1.74479i | −0.0308025 | + | 0.0604532i | ||||
\(834\) | 6.42069 | + | 8.83732i | 0.222330 | + | 0.306011i | ||||
\(835\) | 37.5157 | − | 5.46874i | 1.29828 | − | 0.189254i | ||||
\(836\) | 1.69228i | 0.0585288i | ||||||||
\(837\) | −4.82844 | − | 2.77239i | −0.166895 | − | 0.0958277i | ||||
\(838\) | 19.7366 | − | 19.7366i | 0.681788 | − | 0.681788i | ||||
\(839\) | 0.681092 | − | 0.937443i | 0.0235139 | − | 0.0323641i | −0.797098 | − | 0.603850i | \(-0.793633\pi\) |
0.820612 | + | 0.571486i | \(0.193633\pi\) | |||||||
\(840\) | 5.26274 | + | 0.900171i | 0.181582 | + | 0.0310588i | ||||
\(841\) | −7.03542 | − | 21.6528i | −0.242601 | − | 0.746649i | ||||
\(842\) | −2.83271 | − | 2.83271i | −0.0976215 | − | 0.0976215i | ||||
\(843\) | 5.65570 | + | 5.65570i | 0.194793 | + | 0.194793i | ||||
\(844\) | −8.28998 | + | 2.69358i | −0.285353 | + | 0.0927168i | ||||
\(845\) | 13.6120 | + | 4.60907i | 0.468267 | + | 0.158557i | ||||
\(846\) | −1.37339 | + | 4.22686i | −0.0472182 | + | 0.145323i | ||||
\(847\) | −3.71099 | − | 23.4303i | −0.127511 | − | 0.805074i | ||||
\(848\) | 1.89806 | − | 3.72515i | 0.0651796 | − | 0.127922i | ||||
\(849\) | −0.266781 | − | 0.193828i | −0.00915591 | − | 0.00665216i | ||||
\(850\) | −6.20688 | + | 4.27983i | −0.212894 | + | 0.146797i | ||||
\(851\) | 0.694664 | − | 2.13796i | 0.0238128 | − | 0.0732882i | ||||
\(852\) | −0.738041 | + | 4.65981i | −0.0252849 | + | 0.159642i | ||||
\(853\) | 5.91244 | − | 37.3297i | 0.202438 | − | 1.27814i | −0.651852 | − | 0.758346i | \(-0.726008\pi\) |
0.854290 | − | 0.519797i | \(-0.173992\pi\) | |||||||
\(854\) | 2.09993 | − | 6.46292i | 0.0718581 | − | 0.221157i | ||||
\(855\) | −2.99286 | + | 2.11857i | −0.102354 | + | 0.0724535i | ||||
\(856\) | −14.1110 | − | 10.2523i | −0.482305 | − | 0.350415i | ||||
\(857\) | −12.4654 | + | 24.4647i | −0.425809 | + | 0.835697i | 0.574049 | + | 0.818821i | \(0.305372\pi\) |
−0.999858 | + | 0.0168759i | \(0.994628\pi\) | |||||||
\(858\) | −0.711547 | − | 4.49253i | −0.0242918 | − | 0.153373i | ||||
\(859\) | −13.8529 | + | 42.6347i | −0.472654 | + | 1.45468i | 0.376442 | + | 0.926440i | \(0.377147\pi\) |
−0.849096 | + | 0.528239i | \(0.822853\pi\) | |||||||
\(860\) | 1.90825 | + | 3.86211i | 0.0650707 | + | 0.131697i | ||||
\(861\) | −1.88873 | + | 0.613686i | −0.0643678 | + | 0.0209144i | ||||
\(862\) | −20.8784 | − | 20.8784i | −0.711121 | − | 0.711121i | ||||
\(863\) | 19.5927 | + | 19.5927i | 0.666942 | + | 0.666942i | 0.957007 | − | 0.290065i | \(-0.0936770\pi\) |
−0.290065 | + | 0.957007i | \(0.593677\pi\) | |||||||
\(864\) | 0.309017 | + | 0.951057i | 0.0105130 | + | 0.0323556i | ||||
\(865\) | 9.00055 | − | 52.6206i | 0.306028 | − | 1.78915i | ||||
\(866\) | −10.5106 | + | 14.4665i | −0.357163 | + | 0.491593i | ||||
\(867\) | 10.4131 | − | 10.4131i | 0.353647 | − | 0.353647i | ||||
\(868\) | −2.73308 | + | 13.0105i | −0.0927668 | + | 0.441603i | ||||
\(869\) | − | 2.97944i | − | 0.101071i | ||||||
\(870\) | −3.33674 | + | 4.47556i | −0.113126 | + | 0.151736i | ||||
\(871\) | −15.0287 | − | 20.6853i | −0.509229 | − | 0.700894i | ||||
\(872\) | 1.64152 | − | 3.22166i | 0.0555888 | − | 0.109099i | ||||
\(873\) | −5.64289 | + | 5.64289i | −0.190983 | + | 0.190983i | ||||
\(874\) | 3.49085 | 0.118080 | ||||||||
\(875\) | −12.9908 | + | 23.3218i | −0.439170 | + | 0.788421i | ||||
\(876\) | −0.702239 | + | 2.16127i | −0.0237265 | + | 0.0730226i | ||||
\(877\) | −16.9935 | + | 8.65861i | −0.573829 | + | 0.292380i | −0.716723 | − | 0.697358i | \(-0.754359\pi\) |
0.142895 | + | 0.989738i | \(0.454359\pi\) | |||||||
\(878\) | −9.72108 | + | 1.53967i | −0.328070 | + | 0.0519613i | ||||
\(879\) | −3.24762 | − | 9.99515i | −0.109540 | − | 0.337128i | ||||
\(880\) | −1.37926 | + | 1.85000i | −0.0464949 | + | 0.0623634i | ||||
\(881\) | −6.94189 | − | 9.55469i | −0.233878 | − | 0.321906i | 0.675906 | − | 0.736988i | \(-0.263753\pi\) |
−0.909784 | + | 0.415083i | \(0.863753\pi\) | |||||||
\(882\) | −1.15711 | + | 0.589579i | −0.0389621 | + | 0.0198522i | ||||
\(883\) | 14.6112 | + | 2.31419i | 0.491707 | + | 0.0778787i | 0.397364 | − | 0.917661i | \(-0.369925\pi\) |
0.0943427 | + | 0.995540i | \(0.469925\pi\) | |||||||
\(884\) | −3.90649 | − | 5.37682i | −0.131390 | − | 0.180842i | ||||
\(885\) | −1.90798 | − | 3.86158i | −0.0641362 | − | 0.129806i | ||||
\(886\) | 0.148130 | − | 0.107623i | 0.00497654 | − | 0.00361567i | ||||
\(887\) | −8.70232 | − | 54.9443i | −0.292195 | − | 1.84485i | −0.499171 | − | 0.866503i | \(-0.666362\pi\) |
0.206976 | − | 0.978346i | \(-0.433638\pi\) | |||||||
\(888\) | 0.940906 | + | 0.479416i | 0.0315748 | + | 0.0160881i | ||||
\(889\) | 28.2780 | + | 20.5452i | 0.948413 | + | 0.689062i | ||||
\(890\) | 11.8482 | − | 5.85415i | 0.397154 | − | 0.196232i | ||||
\(891\) | −0.981466 | − | 0.318898i | −0.0328803 | − | 0.0106835i | ||||
\(892\) | 4.57629 | + | 2.33174i | 0.153225 | + | 0.0780723i | ||||
\(893\) | −5.15348 | + | 5.15348i | −0.172455 | + | 0.172455i | ||||
\(894\) | 1.07041 | 0.0358000 | ||||||||
\(895\) | 7.60819 | + | 24.4365i | 0.254314 | + | 0.816823i | ||||
\(896\) | 1.93173 | − | 1.40348i | 0.0645345 | − | 0.0468871i | ||||
\(897\) | −9.26722 | + | 1.46778i | −0.309423 | + | 0.0490079i | ||||
\(898\) | −15.8963 | − | 15.8963i | −0.530467 | − | 0.530467i | ||||
\(899\) | −10.8234 | − | 8.72201i | −0.360981 | − | 0.290895i | ||||
\(900\) | −4.99848 | − | 0.123259i | −0.166616 | − | 0.00410863i | ||||
\(901\) | 5.10019 | + | 3.70550i | 0.169912 | + | 0.123448i | ||||
\(902\) | 0.134269 | − | 0.847742i | 0.00447068 | − | 0.0282267i | ||||
\(903\) | 4.09866 | + | 2.08837i | 0.136395 | + | 0.0694967i | ||||
\(904\) | 8.23882i | 0.274019i | ||||||||
\(905\) | −0.0753952 | + | 6.11589i | −0.00250622 | + | 0.203299i | ||||
\(906\) | −6.11135 | − | 18.8088i | −0.203036 | − | 0.624881i | ||||
\(907\) | −23.9318 | + | 12.1939i | −0.794643 | + | 0.404891i | −0.803675 | − | 0.595069i | \(-0.797125\pi\) |
0.00903224 | + | 0.999959i | \(0.497125\pi\) | |||||||
\(908\) | 10.7186 | + | 21.0364i | 0.355709 | + | 0.698119i | ||||
\(909\) | 1.66623 | − | 2.29337i | 0.0552655 | − | 0.0760664i | ||||
\(910\) | −20.8347 | − | 10.9414i | −0.690664 | − | 0.362703i | ||||
\(911\) | −3.06601 | + | 4.22001i | −0.101582 | + | 0.139815i | −0.856782 | − | 0.515679i | \(-0.827540\pi\) |
0.755200 | + | 0.655494i | \(0.227540\pi\) | |||||||
\(912\) | −0.256529 | + | 1.61966i | −0.00849453 | + | 0.0536323i | ||||
\(913\) | 1.75464 | + | 3.44368i | 0.0580702 | + | 0.113969i | ||||
\(914\) | −21.9100 | + | 15.9186i | −0.724720 | + | 0.526540i | ||||
\(915\) | −1.07293 | + | 6.27274i | −0.0354699 | + | 0.207370i | ||||
\(916\) | 1.72248 | + | 0.559668i | 0.0569124 | + | 0.0184919i | ||||
\(917\) | 29.9782 | + | 4.74808i | 0.989967 | + | 0.156795i | ||||
\(918\) | −1.48931 | + | 0.235884i | −0.0491546 | + | 0.00778533i | ||||
\(919\) | 22.4463 | − | 7.29325i | 0.740436 | − | 0.240582i | 0.0855750 | − | 0.996332i | \(-0.472727\pi\) |
0.654861 | + | 0.755750i | \(0.272727\pi\) | |||||||
\(920\) | 3.81618 | + | 2.84515i | 0.125816 | + | 0.0938017i | ||||
\(921\) | −11.0798 | − | 3.60004i | −0.365091 | − | 0.118625i | ||||
\(922\) | −0.450516 | − | 0.884188i | −0.0148370 | − | 0.0291192i | ||||
\(923\) | 9.44055 | − | 18.5281i | 0.310740 | − | 0.609861i | ||||
\(924\) | 2.46409i | 0.0810627i | ||||||||
\(925\) | −3.82444 | + | 3.64037i | −0.125747 | + | 0.119694i | ||||
\(926\) | 7.19618 | − | 2.33818i | 0.236481 | − | 0.0768373i | ||||
\(927\) | −12.3870 | − | 1.96192i | −0.406844 | − | 0.0644378i | ||||
\(928\) | 0.390551 | + | 2.46584i | 0.0128204 | + | 0.0809451i | ||||
\(929\) | −3.22773 | −0.105898 | −0.0529492 | − | 0.998597i | \(-0.516862\pi\) | ||||
−0.0529492 | + | 0.998597i | \(0.516862\pi\) | |||||||
\(930\) | 0.775187 | − | 12.4257i | 0.0254194 | − | 0.407456i | ||||
\(931\) | −2.12961 | −0.0697951 | ||||||||
\(932\) | −0.547039 | − | 3.45387i | −0.0179189 | − | 0.113135i | ||||
\(933\) | 12.1184 | + | 1.91936i | 0.396737 | + | 0.0628370i | ||||
\(934\) | −29.4966 | + | 9.58402i | −0.965157 | + | 0.313599i | ||||
\(935\) | −2.42988 | − | 2.49054i | −0.0794655 | − | 0.0814492i | ||||
\(936\) | − | 4.40760i | − | 0.144067i | ||||||
\(937\) | 23.5517 | − | 46.2227i | 0.769399 | − | 1.51003i | −0.0884222 | − | 0.996083i | \(-0.528182\pi\) |
0.857821 | − | 0.513948i | \(-0.171818\pi\) | |||||||
\(938\) | 6.28835 | + | 12.3416i | 0.205322 | + | 0.402967i | ||||
\(939\) | −29.4759 | − | 9.57730i | −0.961910 | − | 0.312543i | ||||
\(940\) | −9.83402 | + | 1.43352i | −0.320750 | + | 0.0467564i | ||||
\(941\) | −38.3844 | + | 12.4718i | −1.25130 | + | 0.406571i | −0.858385 | − | 0.513006i | \(-0.828532\pi\) |
−0.392911 | + | 0.919577i | \(0.628532\pi\) | |||||||
\(942\) | 10.2083 | − | 1.61684i | 0.332605 | − | 0.0526794i | ||||
\(943\) | −1.74873 | − | 0.276971i | −0.0569464 | − | 0.00901942i | ||||
\(944\) | −1.83197 | − | 0.595244i | −0.0596256 | − | 0.0193735i | ||||
\(945\) | −4.35783 | + | 3.08480i | −0.141760 | + | 0.100349i | ||||
\(946\) | −1.60842 | + | 1.16858i | −0.0522942 | + | 0.0379940i | ||||
\(947\) | 18.2244 | + | 35.7673i | 0.592212 | + | 1.16228i | 0.971508 | + | 0.237006i | \(0.0761662\pi\) |
−0.379296 | + | 0.925275i | \(0.623834\pi\) | |||||||
\(948\) | 0.451647 | − | 2.85159i | 0.0146688 | − | 0.0926152i | ||||
\(949\) | 5.88741 | − | 8.10332i | 0.191113 | − | 0.263045i | ||||
\(950\) | −7.21160 | − | 3.90135i | −0.233975 | − | 0.126576i | ||||
\(951\) | 9.07465 | − | 12.4902i | 0.294266 | − | 0.405022i | ||||
\(952\) | 1.63456 | + | 3.20800i | 0.0529764 | + | 0.103972i | ||||
\(953\) | −31.8977 | + | 16.2527i | −1.03327 | + | 0.526477i | −0.886517 | − | 0.462696i | \(-0.846882\pi\) |
−0.146752 | + | 0.989173i | \(0.546882\pi\) | |||||||
\(954\) | 1.29195 | + | 3.97621i | 0.0418284 | + | 0.128734i | ||||
\(955\) | 19.7878 | + | 0.243939i | 0.640319 | + | 0.00789369i | ||||
\(956\) | − | 6.49926i | − | 0.210201i | ||||||
\(957\) | −2.29559 | − | 1.16966i | −0.0742059 | − | 0.0378098i | ||||
\(958\) | 2.30010 | − | 14.5222i | 0.0743127 | − | 0.469192i | ||||
\(959\) | 34.7355 | + | 25.2368i | 1.12167 | + | 0.814939i | ||||
\(960\) | −1.60051 | + | 1.56153i | −0.0516562 | + | 0.0503981i | ||||
\(961\) | 30.8453 | + | 3.09346i | 0.995009 | + | 0.0997890i | ||||
\(962\) | −3.29119 | − | 3.29119i | −0.106112 | − | 0.106112i | ||||
\(963\) | 17.2275 | − | 2.72856i | 0.555147 | − | 0.0879267i | ||||
\(964\) | −7.22826 | + | 5.25164i | −0.232807 | + | 0.169144i | ||||
\(965\) | −27.0159 | − | 14.1874i | −0.869672 | − | 0.456710i | ||||
\(966\) | 5.08294 | 0.163541 | ||||||||
\(967\) | 13.8109 | − | 13.8109i | 0.444128 | − | 0.444128i | −0.449269 | − | 0.893397i | \(-0.648316\pi\) |
0.893397 | + | 0.449269i | \(0.148316\pi\) | |||||||
\(968\) | 8.85218 | + | 4.51041i | 0.284520 | + | 0.144970i | ||||
\(969\) | −2.35167 | − | 0.764103i | −0.0755465 | − | 0.0245465i | ||||
\(970\) | −16.9017 | − | 5.72299i | −0.542682 | − | 0.183754i | ||||
\(971\) | −6.27517 | − | 4.55918i | −0.201380 | − | 0.146311i | 0.482525 | − | 0.875882i | \(-0.339720\pi\) |
−0.683905 | + | 0.729571i | \(0.739720\pi\) | |||||||
\(972\) | −0.891007 | − | 0.453990i | −0.0285790 | − | 0.0145618i | ||||
\(973\) | 4.08022 | + | 25.7615i | 0.130806 | + | 0.825876i | ||||
\(974\) | −11.2938 | + | 8.20543i | −0.361877 | + | 0.262919i | ||||
\(975\) | 20.7852 | + | 7.32474i | 0.665658 | + | 0.234579i | ||||
\(976\) | 1.67283 | + | 2.30246i | 0.0535461 | + | 0.0736999i | ||||
\(977\) | 5.23401 | + | 0.828986i | 0.167451 | + | 0.0265216i | 0.239597 | − | 0.970872i | \(-0.422985\pi\) |
−0.0721460 | + | 0.997394i | \(0.522985\pi\) | |||||||
\(978\) | −1.06604 | + | 0.543174i | −0.0340882 | + | 0.0173688i | ||||
\(979\) | 3.58500 | + | 4.93433i | 0.114577 | + | 0.157702i | ||||
\(980\) | −2.32808 | − | 1.73569i | −0.0743678 | − | 0.0554447i | ||||
\(981\) | 1.11733 | + | 3.43878i | 0.0356736 | + | 0.109792i | ||||
\(982\) | −25.9589 | + | 4.11149i | −0.828383 | + | 0.131203i | ||||
\(983\) | 35.0471 | − | 17.8574i | 1.11783 | − | 0.569563i | 0.205352 | − | 0.978688i | \(-0.434166\pi\) |
0.912478 | + | 0.409125i | \(0.134166\pi\) | |||||||
\(984\) | 0.257014 | − | 0.791009i | 0.00819332 | − | 0.0252164i | ||||
\(985\) | 50.3003 | + | 26.4153i | 1.60270 | + | 0.841661i | ||||
\(986\) | −3.76453 | −0.119887 | ||||||||
\(987\) | −7.50387 | + | 7.50387i | −0.238851 | + | 0.238851i | ||||
\(988\) | 3.28136 | − | 6.44003i | 0.104394 | − | 0.204884i | ||||
\(989\) | 2.41056 | + | 3.31785i | 0.0766514 | + | 0.105502i | ||||
\(990\) | −0.332860 | − | 2.28343i | −0.0105790 | − | 0.0725722i | ||||
\(991\) | − | 10.7990i | − | 0.343043i | −0.985180 | − | 0.171521i | \(-0.945132\pi\) | ||
0.985180 | − | 0.171521i | \(-0.0548683\pi\) | |||||||
\(992\) | −3.73541 | − | 4.12877i | −0.118599 | − | 0.131089i | ||||
\(993\) | −16.8013 | + | 16.8013i | −0.533174 | + | 0.533174i | ||||
\(994\) | −6.62148 | + | 9.11369i | −0.210021 | + | 0.289069i | ||||
\(995\) | 44.8582 | − | 31.7540i | 1.42210 | − | 1.00667i | ||||
\(996\) | 1.15733 | + | 3.56188i | 0.0366713 | + | 0.112863i | ||||
\(997\) | 29.3304 | + | 29.3304i | 0.928904 | + | 0.928904i | 0.997635 | − | 0.0687316i | \(-0.0218952\pi\) |
−0.0687316 | + | 0.997635i | \(0.521895\pi\) | |||||||
\(998\) | −22.3863 | − | 22.3863i | −0.708626 | − | 0.708626i | ||||
\(999\) | −1.00432 | + | 0.326323i | −0.0317753 | + | 0.0103244i |
(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 | 930.2.bj.b.277.16 | yes | 128 | |
5.3 | odd | 4 | 930.2.bj.a.463.16 | ✓ | 128 | ||
31.15 | odd | 10 | 930.2.bj.a.697.16 | yes | 128 | ||
155.108 | even | 20 | inner | 930.2.bj.b.883.16 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bj.a.463.16 | ✓ | 128 | 5.3 | odd | 4 | ||
930.2.bj.a.697.16 | yes | 128 | 31.15 | odd | 10 | ||
930.2.bj.b.277.16 | yes | 128 | 1.1 | even | 1 | trivial | |
930.2.bj.b.883.16 | yes | 128 | 155.108 | even | 20 | inner |