Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(89,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.89");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.be (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(184\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 89.13 | ||
Character | \(\chi\) | \(=\) | 429.89 |
Dual form | 429.2.be.a.188.13 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.50551 | − | 0.403401i | −1.06456 | − | 0.285247i | −0.316302 | − | 0.948658i | \(-0.602441\pi\) |
−0.748255 | + | 0.663411i | \(0.769108\pi\) | |||||||
\(3\) | 0.00525696 | + | 1.73204i | 0.00303510 | + | 0.999995i | ||||
\(4\) | 0.371782 | + | 0.214648i | 0.185891 | + | 0.107324i | ||||
\(5\) | −0.722785 | + | 0.722785i | −0.323239 | + | 0.323239i | −0.850008 | − | 0.526769i | \(-0.823403\pi\) |
0.526769 | + | 0.850008i | \(0.323403\pi\) | |||||||
\(6\) | 0.690793 | − | 2.60973i | 0.282015 | − | 1.06542i | ||||
\(7\) | 1.16889 | + | 4.36236i | 0.441799 | + | 1.64882i | 0.724252 | + | 0.689536i | \(0.242185\pi\) |
−0.282453 | + | 0.959281i | \(0.591148\pi\) | |||||||
\(8\) | 1.73109 | + | 1.73109i | 0.612032 | + | 0.612032i | ||||
\(9\) | −2.99994 | + | 0.0182105i | −0.999982 | + | 0.00607018i | ||||
\(10\) | 1.37973 | − | 0.796589i | 0.436310 | − | 0.251904i | ||||
\(11\) | −0.258819 | + | 0.965926i | −0.0780369 | + | 0.291238i | ||||
\(12\) | −0.369826 | + | 0.645070i | −0.106759 | + | 0.186216i | ||||
\(13\) | −1.89064 | − | 3.07010i | −0.524368 | − | 0.851492i | ||||
\(14\) | − | 7.03911i | − | 1.88128i | ||||||
\(15\) | −1.25569 | − | 1.24809i | −0.324219 | − | 0.322257i | ||||
\(16\) | −2.33715 | − | 4.04806i | −0.584287 | − | 1.01202i | ||||
\(17\) | 0.404937 | − | 0.701372i | 0.0982118 | − | 0.170108i | −0.812733 | − | 0.582637i | \(-0.802021\pi\) |
0.910945 | + | 0.412529i | \(0.135354\pi\) | |||||||
\(18\) | 4.52380 | + | 1.18276i | 1.06627 | + | 0.278780i | ||||
\(19\) | 2.03350 | − | 0.544876i | 0.466518 | − | 0.125003i | −0.0179001 | − | 0.999840i | \(-0.505698\pi\) |
0.484418 | + | 0.874837i | \(0.339031\pi\) | |||||||
\(20\) | −0.423863 | + | 0.113574i | −0.0947786 | + | 0.0253959i | ||||
\(21\) | −7.54965 | + | 2.04750i | −1.64747 | + | 0.446801i | ||||
\(22\) | 0.779310 | − | 1.34980i | 0.166149 | − | 0.287779i | ||||
\(23\) | 2.19342 | + | 3.79912i | 0.457361 | + | 0.792172i | 0.998821 | − | 0.0485547i | \(-0.0154615\pi\) |
−0.541460 | + | 0.840727i | \(0.682128\pi\) | |||||||
\(24\) | −2.98922 | + | 3.00742i | −0.610172 | + | 0.613887i | ||||
\(25\) | 3.95516i | 0.791033i | ||||||||
\(26\) | 1.60790 | + | 5.38475i | 0.315335 | + | 1.05604i | ||||
\(27\) | −0.0473120 | − | 5.19594i | −0.00910520 | − | 0.999959i | ||||
\(28\) | −0.501801 | + | 1.87275i | −0.0948314 | + | 0.353916i | ||||
\(29\) | −6.01241 | + | 3.47127i | −1.11648 | + | 0.644598i | −0.940499 | − | 0.339796i | \(-0.889642\pi\) |
−0.175978 | + | 0.984394i | \(0.556309\pi\) | |||||||
\(30\) | 1.38698 | + | 2.38557i | 0.253227 | + | 0.435543i | ||||
\(31\) | −4.79999 | − | 4.79999i | −0.862104 | − | 0.862104i | 0.129478 | − | 0.991582i | \(-0.458670\pi\) |
−0.991582 | + | 0.129478i | \(0.958670\pi\) | |||||||
\(32\) | 0.618369 | + | 2.30778i | 0.109313 | + | 0.407963i | ||||
\(33\) | −1.67439 | − | 0.443208i | −0.291473 | − | 0.0771526i | ||||
\(34\) | −0.892572 | + | 0.892572i | −0.153075 | + | 0.153075i | ||||
\(35\) | −3.99790 | − | 2.30819i | −0.675769 | − | 0.390156i | ||||
\(36\) | −1.11923 | − | 0.637163i | −0.186539 | − | 0.106194i | ||||
\(37\) | −0.702201 | − | 0.188154i | −0.115441 | − | 0.0309324i | 0.200636 | − | 0.979666i | \(-0.435699\pi\) |
−0.316077 | + | 0.948734i | \(0.602366\pi\) | |||||||
\(38\) | −3.28127 | −0.532292 | ||||||||
\(39\) | 5.30760 | − | 3.29080i | 0.849896 | − | 0.526950i | ||||
\(40\) | −2.50241 | −0.395666 | ||||||||
\(41\) | −7.82744 | − | 2.09736i | −1.22244 | − | 0.327552i | −0.410809 | − | 0.911721i | \(-0.634754\pi\) |
−0.811632 | + | 0.584169i | \(0.801420\pi\) | |||||||
\(42\) | 12.1920 | − | 0.0370043i | 1.88127 | − | 0.00570989i | ||||
\(43\) | −8.47216 | − | 4.89141i | −1.29199 | − | 0.745933i | −0.312986 | − | 0.949758i | \(-0.601329\pi\) |
−0.979007 | + | 0.203825i | \(0.934663\pi\) | |||||||
\(44\) | −0.303559 | + | 0.303559i | −0.0457632 | + | 0.0457632i | ||||
\(45\) | 2.15515 | − | 2.18148i | 0.321271 | − | 0.325195i | ||||
\(46\) | −1.76966 | − | 6.60445i | −0.260922 | − | 0.973773i | ||||
\(47\) | 3.43483 | + | 3.43483i | 0.501022 | + | 0.501022i | 0.911755 | − | 0.410733i | \(-0.134727\pi\) |
−0.410733 | + | 0.911755i | \(0.634727\pi\) | |||||||
\(48\) | 6.99913 | − | 4.06932i | 1.01024 | − | 0.587356i | ||||
\(49\) | −11.6017 | + | 6.69824i | −1.65738 | + | 0.956892i | ||||
\(50\) | 1.59552 | − | 5.95454i | 0.225640 | − | 0.842100i | ||||
\(51\) | 1.21694 | + | 0.697682i | 0.170405 | + | 0.0976950i | ||||
\(52\) | −0.0439135 | − | 1.54723i | −0.00608970 | − | 0.214562i | ||||
\(53\) | − | 0.398917i | − | 0.0547954i | −0.999625 | − | 0.0273977i | \(-0.991278\pi\) | ||
0.999625 | − | 0.0273977i | \(-0.00872206\pi\) | |||||||
\(54\) | −2.02482 | + | 7.84163i | −0.275542 | + | 1.06711i | ||||
\(55\) | −0.511086 | − | 0.885227i | −0.0689148 | − | 0.119364i | ||||
\(56\) | −5.52818 | + | 9.57509i | −0.738734 | + | 1.27952i | ||||
\(57\) | 0.954438 | + | 3.51925i | 0.126418 | + | 0.466136i | ||||
\(58\) | 10.4521 | − | 2.80062i | 1.37242 | − | 0.367740i | ||||
\(59\) | 9.09289 | − | 2.43643i | 1.18379 | − | 0.317197i | 0.387364 | − | 0.921927i | \(-0.373386\pi\) |
0.796430 | + | 0.604730i | \(0.206719\pi\) | |||||||
\(60\) | −0.198943 | − | 0.733552i | −0.0256834 | − | 0.0947011i | ||||
\(61\) | −0.865584 | + | 1.49924i | −0.110827 | + | 0.191957i | −0.916104 | − | 0.400941i | \(-0.868683\pi\) |
0.805277 | + | 0.592899i | \(0.202017\pi\) | |||||||
\(62\) | 5.29012 | + | 9.16276i | 0.671846 | + | 1.16367i | ||||
\(63\) | −3.58605 | − | 13.0656i | −0.451800 | − | 1.64610i | ||||
\(64\) | 5.62475i | 0.703094i | ||||||||
\(65\) | 3.58554 | + | 0.852495i | 0.444732 | + | 0.105739i | ||||
\(66\) | 2.34202 | + | 1.34270i | 0.288282 | + | 0.165275i | ||||
\(67\) | −1.65798 | + | 6.18768i | −0.202555 | + | 0.755946i | 0.787626 | + | 0.616154i | \(0.211310\pi\) |
−0.990181 | + | 0.139792i | \(0.955357\pi\) | |||||||
\(68\) | 0.301097 | − | 0.173838i | 0.0365133 | − | 0.0210810i | ||||
\(69\) | −6.56871 | + | 3.81908i | −0.790780 | + | 0.459763i | ||||
\(70\) | 5.08776 | + | 5.08776i | 0.608104 | + | 0.608104i | ||||
\(71\) | 2.03515 | + | 7.59530i | 0.241528 | + | 0.901396i | 0.975097 | + | 0.221780i | \(0.0711868\pi\) |
−0.733568 | + | 0.679616i | \(0.762147\pi\) | |||||||
\(72\) | −5.22470 | − | 5.16165i | −0.615736 | − | 0.608306i | ||||
\(73\) | 7.79914 | − | 7.79914i | 0.912820 | − | 0.912820i | −0.0836728 | − | 0.996493i | \(-0.526665\pi\) |
0.996493 | + | 0.0836728i | \(0.0266651\pi\) | |||||||
\(74\) | 0.981270 | + | 0.566536i | 0.114070 | + | 0.0658585i | ||||
\(75\) | −6.85051 | + | 0.0207921i | −0.791029 | + | 0.00240087i | ||||
\(76\) | 0.872976 | + | 0.233913i | 0.100137 | + | 0.0268317i | ||||
\(77\) | −4.51625 | −0.514674 | ||||||||
\(78\) | −9.31816 | + | 2.81325i | −1.05507 | + | 0.318538i | ||||
\(79\) | 2.80316 | 0.315380 | 0.157690 | − | 0.987489i | \(-0.449595\pi\) | ||||
0.157690 | + | 0.987489i | \(0.449595\pi\) | |||||||
\(80\) | 4.61513 | + | 1.23662i | 0.515988 | + | 0.138258i | ||||
\(81\) | 8.99934 | − | 0.109261i | 0.999926 | − | 0.0121401i | ||||
\(82\) | 10.9382 | + | 6.31519i | 1.20793 | + | 0.697396i | ||||
\(83\) | 7.49577 | − | 7.49577i | 0.822768 | − | 0.822768i | −0.163736 | − | 0.986504i | \(-0.552355\pi\) |
0.986504 | + | 0.163736i | \(0.0523545\pi\) | |||||||
\(84\) | −3.24631 | − | 0.859295i | −0.354202 | − | 0.0937568i | ||||
\(85\) | 0.214259 | + | 0.799624i | 0.0232396 | + | 0.0867314i | ||||
\(86\) | 10.7817 | + | 10.7817i | 1.16263 | + | 1.16263i | ||||
\(87\) | −6.04399 | − | 10.3955i | −0.647984 | − | 1.11452i | ||||
\(88\) | −2.12014 | + | 1.22406i | −0.226008 | + | 0.130486i | ||||
\(89\) | −3.27018 | + | 12.2045i | −0.346638 | + | 1.29367i | 0.544048 | + | 0.839054i | \(0.316891\pi\) |
−0.890687 | + | 0.454618i | \(0.849776\pi\) | |||||||
\(90\) | −4.12462 | + | 2.41485i | −0.434773 | + | 0.254547i | ||||
\(91\) | 11.1829 | − | 11.8362i | 1.17229 | − | 1.24078i | ||||
\(92\) | 1.88326i | 0.196343i | ||||||||
\(93\) | 8.28856 | − | 8.33903i | 0.859484 | − | 0.864717i | ||||
\(94\) | −3.78557 | − | 6.55679i | −0.390451 | − | 0.676282i | ||||
\(95\) | −1.07596 | + | 1.86361i | −0.110391 | + | 0.191203i | ||||
\(96\) | −3.99393 | + | 1.08317i | −0.407629 | + | 0.110551i | ||||
\(97\) | 4.11504 | − | 1.10262i | 0.417819 | − | 0.111954i | −0.0437835 | − | 0.999041i | \(-0.513941\pi\) |
0.461603 | + | 0.887087i | \(0.347275\pi\) | |||||||
\(98\) | 20.1686 | − | 5.40415i | 2.03733 | − | 0.545901i | ||||
\(99\) | 0.758853 | − | 2.90244i | 0.0762676 | − | 0.291706i | ||||
\(100\) | −0.848969 | + | 1.47046i | −0.0848969 | + | 0.147046i | ||||
\(101\) | −4.45621 | − | 7.71838i | −0.443409 | − | 0.768008i | 0.554530 | − | 0.832163i | \(-0.312898\pi\) |
−0.997940 | + | 0.0641557i | \(0.979565\pi\) | |||||||
\(102\) | −1.55067 | − | 1.54128i | −0.153539 | − | 0.152610i | ||||
\(103\) | 8.53582i | 0.841059i | 0.907279 | + | 0.420530i | \(0.138156\pi\) | ||||
−0.907279 | + | 0.420530i | \(0.861844\pi\) | |||||||
\(104\) | 2.04175 | − | 8.58747i | 0.200210 | − | 0.842071i | ||||
\(105\) | 3.97687 | − | 6.93668i | 0.388103 | − | 0.676950i | ||||
\(106\) | −0.160923 | + | 0.600574i | −0.0156303 | + | 0.0583329i | ||||
\(107\) | −11.0916 | + | 6.40373i | −1.07226 | + | 0.619072i | −0.928799 | − | 0.370583i | \(-0.879158\pi\) |
−0.143465 | + | 0.989655i | \(0.545824\pi\) | |||||||
\(108\) | 1.09771 | − | 1.94191i | 0.105627 | − | 0.186860i | ||||
\(109\) | 11.8317 | + | 11.8317i | 1.13327 | + | 1.13327i | 0.989630 | + | 0.143639i | \(0.0458805\pi\) |
0.143639 | + | 0.989630i | \(0.454120\pi\) | |||||||
\(110\) | 0.412345 | + | 1.53889i | 0.0393155 | + | 0.146728i | ||||
\(111\) | 0.322200 | − | 1.21723i | 0.0305818 | − | 0.115534i | ||||
\(112\) | 14.9272 | − | 14.9272i | 1.41049 | − | 1.41049i | ||||
\(113\) | 4.03931 | + | 2.33210i | 0.379986 | + | 0.219385i | 0.677812 | − | 0.735235i | \(-0.262928\pi\) |
−0.297826 | + | 0.954620i | \(0.596262\pi\) | |||||||
\(114\) | −0.0172495 | − | 5.68329i | −0.00161556 | − | 0.532289i | ||||
\(115\) | −4.33132 | − | 1.16057i | −0.403898 | − | 0.108224i | ||||
\(116\) | −2.98041 | −0.276724 | ||||||||
\(117\) | 5.72772 | + | 9.17569i | 0.529527 | + | 0.848293i | ||||
\(118\) | −14.6723 | −1.35070 | ||||||||
\(119\) | 3.53297 | + | 0.946655i | 0.323866 | + | 0.0867797i | ||||
\(120\) | −0.0131551 | − | 4.33428i | −0.00120089 | − | 0.395664i | ||||
\(121\) | −0.866025 | − | 0.500000i | −0.0787296 | − | 0.0454545i | ||||
\(122\) | 1.90794 | − | 1.90794i | 0.172737 | − | 0.172737i | ||||
\(123\) | 3.59156 | − | 13.5685i | 0.323840 | − | 1.22343i | ||||
\(124\) | −0.754239 | − | 2.81486i | −0.0677327 | − | 0.252782i | ||||
\(125\) | −6.47266 | − | 6.47266i | −0.578932 | − | 0.578932i | ||||
\(126\) | 0.128186 | + | 21.1169i | 0.0114197 | + | 1.88125i | ||||
\(127\) | −9.62330 | + | 5.55602i | −0.853930 | + | 0.493017i | −0.861975 | − | 0.506951i | \(-0.830773\pi\) |
0.00804484 | + | 0.999968i | \(0.497439\pi\) | |||||||
\(128\) | 3.50576 | − | 13.0837i | 0.309869 | − | 1.15645i | ||||
\(129\) | 8.42759 | − | 14.6999i | 0.742008 | − | 1.29425i | ||||
\(130\) | −5.05418 | − | 2.72985i | −0.443281 | − | 0.239424i | ||||
\(131\) | − | 5.82057i | − | 0.508546i | −0.967133 | − | 0.254273i | \(-0.918164\pi\) | ||
0.967133 | − | 0.254273i | \(-0.0818361\pi\) | |||||||
\(132\) | −0.527372 | − | 0.524181i | −0.0459019 | − | 0.0456241i | ||||
\(133\) | 4.75389 | + | 8.23397i | 0.412214 | + | 0.713976i | ||||
\(134\) | 4.99223 | − | 8.64680i | 0.431263 | − | 0.746969i | ||||
\(135\) | 3.78974 | + | 3.72135i | 0.326169 | + | 0.320283i | ||||
\(136\) | 1.91512 | − | 0.513155i | 0.164220 | − | 0.0440027i | ||||
\(137\) | 14.8431 | − | 3.97720i | 1.26813 | − | 0.339795i | 0.438818 | − | 0.898576i | \(-0.355397\pi\) |
0.829315 | + | 0.558781i | \(0.188731\pi\) | |||||||
\(138\) | 11.4299 | − | 3.09984i | 0.972977 | − | 0.263876i | ||||
\(139\) | −6.55271 | + | 11.3496i | −0.555793 | + | 0.962662i | 0.442048 | + | 0.896991i | \(0.354252\pi\) |
−0.997841 | + | 0.0656709i | \(0.979081\pi\) | |||||||
\(140\) | −0.990899 | − | 1.71629i | −0.0837462 | − | 0.145053i | ||||
\(141\) | −5.93122 | + | 5.96734i | −0.499499 | + | 0.502540i | ||||
\(142\) | − | 12.2558i | − | 1.02848i | ||||||
\(143\) | 3.45482 | − | 1.03162i | 0.288906 | − | 0.0862681i | ||||
\(144\) | 7.08503 | + | 12.1014i | 0.590420 | + | 1.00845i | ||||
\(145\) | 1.83670 | − | 6.85466i | 0.152530 | − | 0.569249i | ||||
\(146\) | −14.8879 | + | 8.59552i | −1.23213 | + | 0.711370i | ||||
\(147\) | −11.6626 | − | 20.0594i | −0.961918 | − | 1.65447i | ||||
\(148\) | −0.220679 | − | 0.220679i | −0.0181397 | − | 0.0181397i | ||||
\(149\) | −3.46544 | − | 12.9332i | −0.283900 | − | 1.05953i | −0.949640 | − | 0.313344i | \(-0.898551\pi\) |
0.665740 | − | 0.746184i | \(-0.268116\pi\) | |||||||
\(150\) | 10.3219 | + | 2.73220i | 0.842781 | + | 0.223083i | ||||
\(151\) | 8.63945 | − | 8.63945i | 0.703069 | − | 0.703069i | −0.261999 | − | 0.965068i | \(-0.584382\pi\) |
0.965068 | + | 0.261999i | \(0.0843818\pi\) | |||||||
\(152\) | 4.46341 | + | 2.57695i | 0.362030 | + | 0.209018i | ||||
\(153\) | −1.20202 | + | 2.11145i | −0.0971774 | + | 0.170701i | ||||
\(154\) | 6.79926 | + | 1.82186i | 0.547900 | + | 0.146809i | ||||
\(155\) | 6.93872 | 0.557332 | ||||||||
\(156\) | 2.67963 | − | 0.0841937i | 0.214542 | − | 0.00674089i | ||||
\(157\) | 5.04318 | 0.402490 | 0.201245 | − | 0.979541i | \(-0.435501\pi\) | ||||
0.201245 | + | 0.979541i | \(0.435501\pi\) | |||||||
\(158\) | −4.22019 | − | 1.13080i | −0.335741 | − | 0.0899614i | ||||
\(159\) | 0.690941 | − | 0.00209709i | 0.0547952 | − | 0.000166310i | ||||
\(160\) | −2.11498 | − | 1.22108i | −0.167204 | − | 0.0965352i | ||||
\(161\) | −14.0093 | + | 14.0093i | −1.10408 | + | 1.10408i | ||||
\(162\) | −13.5927 | − | 3.46584i | −1.06794 | − | 0.272302i | ||||
\(163\) | 1.78888 | + | 6.67618i | 0.140116 | + | 0.522919i | 0.999924 | + | 0.0123023i | \(0.00391606\pi\) |
−0.859809 | + | 0.510616i | \(0.829417\pi\) | |||||||
\(164\) | −2.45991 | − | 2.45991i | −0.192086 | − | 0.192086i | ||||
\(165\) | 1.53056 | − | 0.889877i | 0.119154 | − | 0.0692768i | ||||
\(166\) | −14.3088 | + | 8.26117i | −1.11058 | + | 0.641191i | ||||
\(167\) | −6.43757 | + | 24.0254i | −0.498154 | + | 1.85914i | 0.0134389 | + | 0.999910i | \(0.495722\pi\) |
−0.511593 | + | 0.859228i | \(0.670945\pi\) | |||||||
\(168\) | −16.6135 | − | 9.52471i | −1.28176 | − | 0.734847i | ||||
\(169\) | −5.85098 | + | 11.6089i | −0.450076 | + | 0.892990i | ||||
\(170\) | − | 1.29028i | − | 0.0989596i | ||||||
\(171\) | −6.09048 | + | 1.67163i | −0.465750 | + | 0.127833i | ||||
\(172\) | −2.09986 | − | 3.63707i | −0.160113 | − | 0.277324i | ||||
\(173\) | −2.16899 | + | 3.75679i | −0.164905 | + | 0.285624i | −0.936622 | − | 0.350343i | \(-0.886065\pi\) |
0.771717 | + | 0.635967i | \(0.219398\pi\) | |||||||
\(174\) | 4.90575 | + | 18.0887i | 0.371904 | + | 1.37130i | ||||
\(175\) | −17.2538 | + | 4.62315i | −1.30427 | + | 0.349478i | ||||
\(176\) | 4.51502 | − | 1.20980i | 0.340333 | − | 0.0911919i | ||||
\(177\) | 4.26781 | + | 15.7365i | 0.320788 | + | 1.18283i | ||||
\(178\) | 9.84659 | − | 17.0548i | 0.738033 | − | 1.27831i | ||||
\(179\) | 0.747073 | + | 1.29397i | 0.0558388 | + | 0.0967157i | 0.892594 | − | 0.450862i | \(-0.148883\pi\) |
−0.836755 | + | 0.547578i | \(0.815550\pi\) | |||||||
\(180\) | 1.26950 | − | 0.348434i | 0.0946227 | − | 0.0259707i | ||||
\(181\) | 20.4957i | 1.52344i | 0.647908 | + | 0.761719i | \(0.275644\pi\) | ||||
−0.647908 | + | 0.761719i | \(0.724356\pi\) | |||||||
\(182\) | −21.6108 | + | 13.3084i | −1.60190 | + | 0.986485i | ||||
\(183\) | −2.60129 | − | 1.49135i | −0.192293 | − | 0.110244i | ||||
\(184\) | −2.77961 | + | 10.3736i | −0.204915 | + | 0.764755i | ||||
\(185\) | 0.643535 | − | 0.371545i | 0.0473137 | − | 0.0273166i | ||||
\(186\) | −15.8425 | + | 9.21089i | −1.16163 | + | 0.675375i | ||||
\(187\) | 0.572668 | + | 0.572668i | 0.0418776 | + | 0.0418776i | ||||
\(188\) | 0.539727 | + | 2.01429i | 0.0393637 | + | 0.146907i | ||||
\(189\) | 22.6112 | − | 6.27987i | 1.64473 | − | 0.456794i | ||||
\(190\) | 2.37165 | − | 2.37165i | 0.172058 | − | 0.172058i | ||||
\(191\) | −17.1541 | − | 9.90393i | −1.24123 | − | 0.716624i | −0.271884 | − | 0.962330i | \(-0.587647\pi\) |
−0.969344 | + | 0.245707i | \(0.920980\pi\) | |||||||
\(192\) | −9.74231 | + | 0.0295691i | −0.703090 | + | 0.00213396i | ||||
\(193\) | −17.0048 | − | 4.55643i | −1.22403 | − | 0.327979i | −0.411780 | − | 0.911283i | \(-0.635093\pi\) |
−0.812254 | + | 0.583304i | \(0.801760\pi\) | |||||||
\(194\) | −6.64004 | −0.476727 | ||||||||
\(195\) | −1.45771 | + | 6.21480i | −0.104389 | + | 0.445051i | ||||
\(196\) | −5.75106 | −0.410790 | ||||||||
\(197\) | 14.5311 | + | 3.89359i | 1.03530 | + | 0.277407i | 0.736162 | − | 0.676805i | \(-0.236636\pi\) |
0.299133 | + | 0.954211i | \(0.403303\pi\) | |||||||
\(198\) | −2.31331 | + | 4.06353i | −0.164400 | + | 0.288783i | ||||
\(199\) | 15.1371 | + | 8.73940i | 1.07304 | + | 0.619520i | 0.929010 | − | 0.370053i | \(-0.120661\pi\) |
0.144030 | + | 0.989573i | \(0.453994\pi\) | |||||||
\(200\) | −6.84674 | + | 6.84674i | −0.484138 | + | 0.484138i | ||||
\(201\) | −10.7260 | − | 2.83917i | −0.756557 | − | 0.200260i | ||||
\(202\) | 3.59528 | + | 13.4178i | 0.252963 | + | 0.944070i | ||||
\(203\) | −22.1708 | − | 22.1708i | −1.55608 | − | 1.55608i | ||||
\(204\) | 0.302678 | + | 0.520599i | 0.0211917 | + | 0.0364492i | ||||
\(205\) | 7.17350 | − | 4.14162i | 0.501019 | − | 0.289263i | ||||
\(206\) | 3.44335 | − | 12.8508i | 0.239910 | − | 0.895356i | ||||
\(207\) | −6.64934 | − | 11.3572i | −0.462161 | − | 0.789381i | ||||
\(208\) | −8.00924 | + | 14.8287i | −0.555341 | + | 1.02818i | ||||
\(209\) | 2.10524i | 0.145622i | ||||||||
\(210\) | −8.78548 | + | 8.83897i | −0.606256 | + | 0.609947i | ||||
\(211\) | 5.99424 | + | 10.3823i | 0.412661 | + | 0.714749i | 0.995180 | − | 0.0980679i | \(-0.0312662\pi\) |
−0.582519 | + | 0.812817i | \(0.697933\pi\) | |||||||
\(212\) | 0.0856268 | − | 0.148310i | 0.00588087 | − | 0.0101860i | ||||
\(213\) | −13.1447 | + | 3.56490i | −0.900659 | + | 0.244263i | ||||
\(214\) | 19.2818 | − | 5.16654i | 1.31808 | − | 0.353177i | ||||
\(215\) | 9.65899 | − | 2.58812i | 0.658738 | − | 0.176508i | ||||
\(216\) | 8.91273 | − | 9.07653i | 0.606434 | − | 0.617580i | ||||
\(217\) | 15.3286 | − | 26.5500i | 1.04057 | − | 1.80233i | ||||
\(218\) | −13.0398 | − | 22.5856i | −0.883168 | − | 1.52969i | ||||
\(219\) | 13.5494 | + | 13.4674i | 0.915587 | + | 0.910046i | ||||
\(220\) | − | 0.438815i | − | 0.0295849i | ||||||
\(221\) | −2.91887 | + | 0.0828435i | −0.196344 | + | 0.00557265i | ||||
\(222\) | −0.976107 | + | 1.70258i | −0.0655120 | + | 0.114270i | ||||
\(223\) | 4.32068 | − | 16.1250i | 0.289334 | − | 1.07981i | −0.656280 | − | 0.754518i | \(-0.727871\pi\) |
0.945614 | − | 0.325292i | \(-0.105462\pi\) | |||||||
\(224\) | −9.34458 | + | 5.39510i | −0.624361 | + | 0.360475i | ||||
\(225\) | −0.0720257 | − | 11.8653i | −0.00480171 | − | 0.791018i | ||||
\(226\) | −5.14046 | − | 5.14046i | −0.341938 | − | 0.341938i | ||||
\(227\) | 0.716073 | + | 2.67242i | 0.0475274 | + | 0.177375i | 0.985609 | − | 0.169038i | \(-0.0540662\pi\) |
−0.938082 | + | 0.346413i | \(0.887400\pi\) | |||||||
\(228\) | −0.400559 | + | 1.51326i | −0.0265276 | + | 0.100218i | ||||
\(229\) | −12.0728 | + | 12.0728i | −0.797790 | + | 0.797790i | −0.982747 | − | 0.184957i | \(-0.940786\pi\) |
0.184957 | + | 0.982747i | \(0.440786\pi\) | |||||||
\(230\) | 6.05268 | + | 3.49452i | 0.399102 | + | 0.230422i | ||||
\(231\) | −0.0237417 | − | 7.82233i | −0.00156209 | − | 0.514672i | ||||
\(232\) | −16.4171 | − | 4.39895i | −1.07784 | − | 0.288805i | ||||
\(233\) | −27.4881 | −1.80081 | −0.900404 | − | 0.435055i | \(-0.856729\pi\) | ||||
−0.900404 | + | 0.435055i | \(0.856729\pi\) | |||||||
\(234\) | −4.92166 | − | 16.1247i | −0.321739 | − | 1.05410i | ||||
\(235\) | −4.96529 | −0.323900 | ||||||||
\(236\) | 3.90355 | + | 1.04595i | 0.254099 | + | 0.0680857i | ||||
\(237\) | 0.0147361 | + | 4.85520i | 0.000957212 | + | 0.315379i | ||||
\(238\) | −4.93704 | − | 2.85040i | −0.320021 | − | 0.184764i | ||||
\(239\) | −0.543789 | + | 0.543789i | −0.0351748 | + | 0.0351748i | −0.724475 | − | 0.689301i | \(-0.757918\pi\) |
0.689301 | + | 0.724475i | \(0.257918\pi\) | |||||||
\(240\) | −2.11762 | + | 8.00011i | −0.136692 | + | 0.516405i | ||||
\(241\) | 4.08323 | + | 15.2388i | 0.263024 | + | 0.981619i | 0.963449 | + | 0.267893i | \(0.0863273\pi\) |
−0.700425 | + | 0.713726i | \(0.747006\pi\) | |||||||
\(242\) | 1.10211 | + | 1.10211i | 0.0708464 | + | 0.0708464i | ||||
\(243\) | 0.236554 | + | 15.5867i | 0.0151750 | + | 0.999885i | ||||
\(244\) | −0.643617 | + | 0.371592i | −0.0412033 | + | 0.0237888i | ||||
\(245\) | 3.54414 | − | 13.2269i | 0.226427 | − | 0.845037i | ||||
\(246\) | −10.8807 | + | 18.9787i | −0.693727 | + | 1.21004i | ||||
\(247\) | −5.51744 | − | 5.21289i | −0.351066 | − | 0.331688i | ||||
\(248\) | − | 16.6184i | − | 1.05527i | ||||||
\(249\) | 13.0224 | + | 12.9436i | 0.825262 | + | 0.820267i | ||||
\(250\) | 7.13359 | + | 12.3557i | 0.451168 | + | 0.781445i | ||||
\(251\) | 9.48111 | − | 16.4218i | 0.598443 | − | 1.03653i | −0.394609 | − | 0.918849i | \(-0.629120\pi\) |
0.993051 | − | 0.117684i | \(-0.0375469\pi\) | |||||||
\(252\) | 1.47127 | − | 5.62727i | 0.0926813 | − | 0.354485i | ||||
\(253\) | −4.23737 | + | 1.13540i | −0.266401 | + | 0.0713820i | ||||
\(254\) | 16.7293 | − | 4.48260i | 1.04969 | − | 0.281263i | ||||
\(255\) | −1.38386 | + | 0.375309i | −0.0866605 | + | 0.0235027i | ||||
\(256\) | −4.93119 | + | 8.54107i | −0.308199 | + | 0.533817i | ||||
\(257\) | 11.4432 | + | 19.8202i | 0.713807 | + | 1.23635i | 0.963418 | + | 0.268003i | \(0.0863638\pi\) |
−0.249611 | + | 0.968346i | \(0.580303\pi\) | |||||||
\(258\) | −18.6178 | + | 18.7311i | −1.15909 | + | 1.16615i | ||||
\(259\) | − | 3.28318i | − | 0.204007i | ||||||
\(260\) | 1.15005 | + | 1.08657i | 0.0713233 | + | 0.0673864i | ||||
\(261\) | 17.9737 | − | 10.5231i | 1.11254 | − | 0.651364i | ||||
\(262\) | −2.34802 | + | 8.76294i | −0.145061 | + | 0.541376i | ||||
\(263\) | 4.36016 | − | 2.51734i | 0.268859 | − | 0.155226i | −0.359510 | − | 0.933141i | \(-0.617056\pi\) |
0.628369 | + | 0.777915i | \(0.283723\pi\) | |||||||
\(264\) | −2.13128 | − | 3.66574i | −0.131171 | − | 0.225611i | ||||
\(265\) | 0.288331 | + | 0.288331i | 0.0177120 | + | 0.0177120i | ||||
\(266\) | −3.83544 | − | 14.3141i | −0.235166 | − | 0.877652i | ||||
\(267\) | −21.1559 | − | 5.59993i | −1.29472 | − | 0.342710i | ||||
\(268\) | −1.94458 | + | 1.94458i | −0.118784 | + | 0.118784i | ||||
\(269\) | 23.6873 | + | 13.6759i | 1.44424 | + | 0.833834i | 0.998129 | − | 0.0611419i | \(-0.0194742\pi\) |
0.446114 | + | 0.894976i | \(0.352808\pi\) | |||||||
\(270\) | −4.20430 | − | 7.13132i | −0.255866 | − | 0.433998i | ||||
\(271\) | −9.98415 | − | 2.67525i | −0.606494 | − | 0.162510i | −0.0575135 | − | 0.998345i | \(-0.518317\pi\) |
−0.548981 | + | 0.835835i | \(0.684984\pi\) | |||||||
\(272\) | −3.78560 | −0.229536 | ||||||||
\(273\) | 20.5597 | + | 19.3071i | 1.24433 | + | 1.16852i | ||||
\(274\) | −23.9509 | −1.44693 | ||||||||
\(275\) | −3.82039 | − | 1.02367i | −0.230378 | − | 0.0617297i | ||||
\(276\) | −3.26189 | + | 0.00990021i | −0.196342 | + | 0.000595923i | ||||
\(277\) | 17.4479 | + | 10.0736i | 1.04834 | + | 0.605262i | 0.922185 | − | 0.386748i | \(-0.126402\pi\) |
0.126159 | + | 0.992010i | \(0.459735\pi\) | |||||||
\(278\) | 14.4436 | − | 14.4436i | 0.866271 | − | 0.866271i | ||||
\(279\) | 14.4871 | + | 14.3123i | 0.867321 | + | 0.856855i | ||||
\(280\) | −2.92504 | − | 10.9164i | −0.174805 | − | 0.652381i | ||||
\(281\) | 10.6385 | + | 10.6385i | 0.634639 | + | 0.634639i | 0.949228 | − | 0.314589i | \(-0.101867\pi\) |
−0.314589 | + | 0.949228i | \(0.601867\pi\) | |||||||
\(282\) | 11.3367 | − | 6.59123i | 0.675094 | − | 0.392502i | ||||
\(283\) | −1.40406 | + | 0.810632i | −0.0834624 | + | 0.0481871i | −0.541150 | − | 0.840926i | \(-0.682011\pi\) |
0.457688 | + | 0.889113i | \(0.348678\pi\) | |||||||
\(284\) | −0.873685 | + | 3.26064i | −0.0518437 | + | 0.193483i | ||||
\(285\) | −3.23352 | − | 1.85381i | −0.191537 | − | 0.109810i | ||||
\(286\) | −5.61742 | + | 0.159434i | −0.332165 | + | 0.00942752i | ||||
\(287\) | − | 36.5977i | − | 2.16029i | ||||||
\(288\) | −1.89710 | − | 6.91197i | −0.111788 | − | 0.407291i | ||||
\(289\) | 8.17205 | + | 14.1544i | 0.480709 | + | 0.832612i | ||||
\(290\) | −5.53035 | + | 9.57885i | −0.324753 | + | 0.562489i | ||||
\(291\) | 1.93142 | + | 7.12164i | 0.113222 | + | 0.417478i | ||||
\(292\) | 4.57365 | − | 1.22551i | 0.267653 | − | 0.0717173i | ||||
\(293\) | −19.4523 | + | 5.21222i | −1.13641 | + | 0.304501i | −0.777509 | − | 0.628872i | \(-0.783517\pi\) |
−0.358906 | + | 0.933374i | \(0.616850\pi\) | |||||||
\(294\) | 9.46624 | + | 34.9044i | 0.552082 | + | 2.03567i | ||||
\(295\) | −4.81119 | + | 8.33322i | −0.280118 | + | 0.485179i | ||||
\(296\) | −0.889861 | − | 1.54128i | −0.0517221 | − | 0.0895853i | ||||
\(297\) | 5.03114 | + | 1.29911i | 0.291936 | + | 0.0753819i | ||||
\(298\) | 20.8690i | 1.20891i | ||||||||
\(299\) | 7.51670 | − | 13.9168i | 0.434702 | − | 0.804829i | ||||
\(300\) | −2.55136 | − | 1.46272i | −0.147303 | − | 0.0844502i | ||||
\(301\) | 11.4350 | − | 42.6761i | 0.659105 | − | 2.45981i | ||||
\(302\) | −16.4920 | + | 9.52164i | −0.949005 | + | 0.547909i | ||||
\(303\) | 13.3451 | − | 7.75892i | 0.766658 | − | 0.445738i | ||||
\(304\) | −6.95829 | − | 6.95829i | −0.399085 | − | 0.399085i | ||||
\(305\) | −0.457994 | − | 1.70926i | −0.0262247 | − | 0.0978717i | ||||
\(306\) | 2.66141 | − | 2.69392i | 0.152143 | − | 0.154001i | ||||
\(307\) | 8.39109 | − | 8.39109i | 0.478905 | − | 0.478905i | −0.425876 | − | 0.904781i | \(-0.640034\pi\) |
0.904781 | + | 0.425876i | \(0.140034\pi\) | |||||||
\(308\) | −1.67906 | − | 0.969405i | −0.0956732 | − | 0.0552370i | ||||
\(309\) | −14.7844 | + | 0.0448724i | −0.841055 | + | 0.00255270i | ||||
\(310\) | −10.4463 | − | 2.79909i | −0.593312 | − | 0.158977i | ||||
\(311\) | −3.94294 | −0.223584 | −0.111792 | − | 0.993732i | \(-0.535659\pi\) | ||||
−0.111792 | + | 0.993732i | \(0.535659\pi\) | |||||||
\(312\) | 14.8846 | + | 3.49125i | 0.842675 | + | 0.197653i | ||||
\(313\) | −4.72509 | −0.267078 | −0.133539 | − | 0.991044i | \(-0.542634\pi\) | ||||
−0.133539 | + | 0.991044i | \(0.542634\pi\) | |||||||
\(314\) | −7.59257 | − | 2.03442i | −0.428474 | − | 0.114809i | ||||
\(315\) | 12.0355 | + | 6.85164i | 0.678125 | + | 0.386046i | ||||
\(316\) | 1.04216 | + | 0.601694i | 0.0586263 | + | 0.0338479i | ||||
\(317\) | −8.92744 | + | 8.92744i | −0.501415 | + | 0.501415i | −0.911878 | − | 0.410462i | \(-0.865367\pi\) |
0.410462 | + | 0.911878i | \(0.365367\pi\) | |||||||
\(318\) | −1.04107 | − | 0.275569i | −0.0583801 | − | 0.0154531i | ||||
\(319\) | −1.79686 | − | 6.70598i | −0.100605 | − | 0.375463i | ||||
\(320\) | −4.06548 | − | 4.06548i | −0.227267 | − | 0.227267i | ||||
\(321\) | −11.1498 | − | 19.1774i | −0.622324 | − | 1.07038i | ||||
\(322\) | 26.7425 | − | 15.4398i | 1.49030 | − | 0.860424i | ||||
\(323\) | 0.441281 | − | 1.64688i | 0.0245535 | − | 0.0916351i | ||||
\(324\) | 3.36924 | + | 1.89107i | 0.187180 | + | 0.105059i | ||||
\(325\) | 12.1427 | − | 7.47778i | 0.673558 | − | 0.414793i | ||||
\(326\) | − | 10.7727i | − | 0.596644i | ||||||
\(327\) | −20.4308 | + | 20.5552i | −1.12982 | + | 1.13670i | ||||
\(328\) | −9.91929 | − | 17.1807i | −0.547701 | − | 0.948646i | ||||
\(329\) | −10.9690 | + | 18.9989i | −0.604742 | + | 1.04744i | ||||
\(330\) | −2.66326 | + | 0.722289i | −0.146608 | + | 0.0397607i | ||||
\(331\) | −1.38854 | + | 0.372059i | −0.0763212 | + | 0.0204502i | −0.296778 | − | 0.954947i | \(-0.595912\pi\) |
0.220456 | + | 0.975397i | \(0.429245\pi\) | |||||||
\(332\) | 4.39575 | − | 1.17784i | 0.241248 | − | 0.0646422i | ||||
\(333\) | 2.10999 | + | 0.551665i | 0.115627 | + | 0.0302310i | ||||
\(334\) | 19.3837 | − | 33.5735i | 1.06063 | − | 1.83706i | ||||
\(335\) | −3.27400 | − | 5.67073i | −0.178878 | − | 0.309825i | ||||
\(336\) | 25.9331 | + | 25.7761i | 1.41476 | + | 1.40620i | ||||
\(337\) | − | 4.60938i | − | 0.251089i | −0.992088 | − | 0.125544i | \(-0.959932\pi\) | ||
0.992088 | − | 0.125544i | \(-0.0400678\pi\) | |||||||
\(338\) | 13.4917 | − | 15.1170i | 0.733854 | − | 0.822257i | ||||
\(339\) | −4.01805 | + | 7.00851i | −0.218231 | + | 0.380650i | ||||
\(340\) | −0.0919805 | + | 0.343276i | −0.00498834 | + | 0.0186167i | ||||
\(341\) | 5.87877 | − | 3.39411i | 0.318353 | − | 0.183801i | ||||
\(342\) | 9.84362 | − | 0.0597536i | 0.532282 | − | 0.00323111i | ||||
\(343\) | −20.4270 | − | 20.4270i | −1.10295 | − | 1.10295i | ||||
\(344\) | −6.19861 | − | 23.1335i | −0.334207 | − | 1.24728i | ||||
\(345\) | 1.98740 | − | 7.50814i | 0.106998 | − | 0.404225i | ||||
\(346\) | 4.78092 | − | 4.78092i | 0.257024 | − | 0.257024i | ||||
\(347\) | −6.58151 | − | 3.79984i | −0.353314 | − | 0.203986i | 0.312830 | − | 0.949809i | \(-0.398723\pi\) |
−0.666144 | + | 0.745823i | \(0.732056\pi\) | |||||||
\(348\) | −0.0156679 | − | 5.16219i | −0.000839886 | − | 0.276723i | ||||
\(349\) | 24.6650 | + | 6.60896i | 1.32029 | + | 0.353769i | 0.849085 | − | 0.528257i | \(-0.177154\pi\) |
0.471201 | + | 0.882026i | \(0.343821\pi\) | |||||||
\(350\) | 27.8408 | 1.48816 | ||||||||
\(351\) | −15.8626 | + | 9.96888i | −0.846682 | + | 0.532100i | ||||
\(352\) | −2.38919 | −0.127344 | ||||||||
\(353\) | 5.98040 | + | 1.60244i | 0.318304 | + | 0.0852894i | 0.414434 | − | 0.910079i | \(-0.363980\pi\) |
−0.0961295 | + | 0.995369i | \(0.530646\pi\) | |||||||
\(354\) | −0.0771317 | − | 25.4131i | −0.00409950 | − | 1.35069i | ||||
\(355\) | −6.96075 | − | 4.01879i | −0.369438 | − | 0.213295i | ||||
\(356\) | −3.83546 | + | 3.83546i | −0.203279 | + | 0.203279i | ||||
\(357\) | −1.62107 | + | 6.12422i | −0.0857964 | + | 0.324128i | ||||
\(358\) | −0.602739 | − | 2.24945i | −0.0318558 | − | 0.118887i | ||||
\(359\) | 11.0013 | + | 11.0013i | 0.580627 | + | 0.580627i | 0.935076 | − | 0.354448i | \(-0.115331\pi\) |
−0.354448 | + | 0.935076i | \(0.615331\pi\) | |||||||
\(360\) | 7.50709 | − | 0.0455703i | 0.395659 | − | 0.00240176i | ||||
\(361\) | −12.6162 | + | 7.28399i | −0.664012 | + | 0.383368i | ||||
\(362\) | 8.26800 | − | 30.8566i | 0.434556 | − | 1.62179i | ||||
\(363\) | 0.861469 | − | 1.50262i | 0.0452154 | − | 0.0788672i | ||||
\(364\) | 6.69823 | − | 2.00011i | 0.351083 | − | 0.104834i | ||||
\(365\) | 11.2742i | 0.590119i | ||||||||
\(366\) | 3.31466 | + | 3.29460i | 0.173260 | + | 0.172212i | ||||
\(367\) | −5.37126 | − | 9.30330i | −0.280378 | − | 0.485628i | 0.691100 | − | 0.722759i | \(-0.257126\pi\) |
−0.971478 | + | 0.237131i | \(0.923793\pi\) | |||||||
\(368\) | 10.2527 | − | 17.7582i | 0.534460 | − | 0.925712i | ||||
\(369\) | 23.5201 | + | 6.14941i | 1.22441 | + | 0.320126i | ||||
\(370\) | −1.11873 | + | 0.299763i | −0.0581601 | + | 0.0155839i | ||||
\(371\) | 1.74022 | − | 0.466290i | 0.0903476 | − | 0.0242086i | ||||
\(372\) | 4.87149 | − | 1.32117i | 0.252575 | − | 0.0684996i | ||||
\(373\) | 11.4605 | − | 19.8501i | 0.593400 | − | 1.02780i | −0.400370 | − | 0.916353i | \(-0.631118\pi\) |
0.993771 | − | 0.111446i | \(-0.0355482\pi\) | |||||||
\(374\) | −0.631144 | − | 1.09317i | −0.0326357 | − | 0.0565266i | ||||
\(375\) | 11.1769 | − | 11.2449i | 0.577172 | − | 0.580687i | ||||
\(376\) | 11.8920i | 0.613283i | ||||||||
\(377\) | 22.0244 | + | 11.8958i | 1.13432 | + | 0.612664i | ||||
\(378\) | −36.5748 | + | 0.333035i | −1.88120 | + | 0.0171295i | ||||
\(379\) | −1.97646 | + | 7.37626i | −0.101524 | + | 0.378893i | −0.997928 | − | 0.0643457i | \(-0.979504\pi\) |
0.896404 | + | 0.443239i | \(0.146171\pi\) | |||||||
\(380\) | −0.800043 | + | 0.461905i | −0.0410413 | + | 0.0236952i | ||||
\(381\) | −9.67385 | − | 16.6388i | −0.495606 | − | 0.852430i | ||||
\(382\) | 21.8305 | + | 21.8305i | 1.11694 | + | 1.11694i | ||||
\(383\) | 8.44711 | + | 31.5251i | 0.431627 | + | 1.61085i | 0.749011 | + | 0.662558i | \(0.230529\pi\) |
−0.317384 | + | 0.948297i | \(0.602804\pi\) | |||||||
\(384\) | 22.6799 | + | 6.00335i | 1.15738 | + | 0.306357i | ||||
\(385\) | 3.26428 | − | 3.26428i | 0.166363 | − | 0.166363i | ||||
\(386\) | 23.7629 | + | 13.7195i | 1.20950 | + | 0.698305i | ||||
\(387\) | 25.5051 | + | 14.5197i | 1.29650 | + | 0.738076i | ||||
\(388\) | 1.76657 | + | 0.473352i | 0.0896842 | + | 0.0240308i | ||||
\(389\) | −14.9885 | −0.759946 | −0.379973 | − | 0.924998i | \(-0.624067\pi\) | ||||
−0.379973 | + | 0.924998i | \(0.624067\pi\) | |||||||
\(390\) | 4.70165 | − | 8.76841i | 0.238077 | − | 0.444006i | ||||
\(391\) | 3.55280 | 0.179673 | ||||||||
\(392\) | −31.6788 | − | 8.48832i | −1.60002 | − | 0.428725i | ||||
\(393\) | 10.0815 | − | 0.0305985i | 0.508543 | − | 0.00154349i | ||||
\(394\) | −20.3060 | − | 11.7237i | −1.02300 | − | 0.590630i | ||||
\(395\) | −2.02608 | + | 2.02608i | −0.101943 | + | 0.101943i | ||||
\(396\) | 0.905131 | − | 0.916187i | 0.0454845 | − | 0.0460401i | ||||
\(397\) | −9.39379 | − | 35.0581i | −0.471461 | − | 1.75952i | −0.634526 | − | 0.772901i | \(-0.718805\pi\) |
0.163065 | − | 0.986615i | \(-0.447862\pi\) | |||||||
\(398\) | −19.2636 | − | 19.2636i | −0.965596 | − | 0.965596i | ||||
\(399\) | −14.2366 | + | 8.27722i | −0.712722 | + | 0.414379i | ||||
\(400\) | 16.0107 | − | 9.24381i | 0.800537 | − | 0.462190i | ||||
\(401\) | −5.09693 | + | 19.0220i | −0.254529 | + | 0.949914i | 0.713824 | + | 0.700326i | \(0.246962\pi\) |
−0.968352 | + | 0.249588i | \(0.919705\pi\) | |||||||
\(402\) | 15.0029 | + | 8.60130i | 0.748275 | + | 0.428994i | ||||
\(403\) | −5.66139 | + | 23.8115i | −0.282014 | + | 1.18613i | ||||
\(404\) | − | 3.82607i | − | 0.190354i | ||||||
\(405\) | −6.42561 | + | 6.58356i | −0.319291 | + | 0.327140i | ||||
\(406\) | 24.4346 | + | 42.3221i | 1.21267 | + | 2.10041i | ||||
\(407\) | 0.363486 | − | 0.629576i | 0.0180173 | − | 0.0312069i | ||||
\(408\) | 0.898874 | + | 3.31437i | 0.0445009 | + | 0.164086i | ||||
\(409\) | −21.5721 | + | 5.78021i | −1.06667 | + | 0.285813i | −0.749124 | − | 0.662430i | \(-0.769525\pi\) |
−0.317545 | + | 0.948243i | \(0.602859\pi\) | |||||||
\(410\) | −12.4705 | + | 3.34146i | −0.615875 | + | 0.165023i | ||||
\(411\) | 6.96671 | + | 25.6880i | 0.343643 | + | 1.26710i | ||||
\(412\) | −1.83220 | + | 3.17346i | −0.0902660 | + | 0.156345i | ||||
\(413\) | 21.2572 | + | 36.8185i | 1.04600 | + | 1.81172i | ||||
\(414\) | 5.42915 | + | 19.7808i | 0.266828 | + | 0.972172i | ||||
\(415\) | 10.8357i | 0.531902i | ||||||||
\(416\) | 5.91601 | − | 6.26164i | 0.290056 | − | 0.307002i | ||||
\(417\) | −19.6925 | − | 11.2899i | −0.964345 | − | 0.552869i | ||||
\(418\) | 0.849254 | − | 3.16946i | 0.0415384 | − | 0.155023i | ||||
\(419\) | 10.5327 | − | 6.08107i | 0.514557 | − | 0.297079i | −0.220148 | − | 0.975466i | \(-0.570654\pi\) |
0.734705 | + | 0.678387i | \(0.237321\pi\) | |||||||
\(420\) | 2.96747 | − | 1.72530i | 0.144798 | − | 0.0841861i | ||||
\(421\) | −9.51904 | − | 9.51904i | −0.463930 | − | 0.463930i | 0.436012 | − | 0.899941i | \(-0.356391\pi\) |
−0.899941 | + | 0.436012i | \(0.856391\pi\) | |||||||
\(422\) | −4.83616 | − | 18.0488i | −0.235421 | − | 0.878602i | ||||
\(423\) | −10.3669 | − | 10.2418i | −0.504054 | − | 0.497971i | ||||
\(424\) | 0.690561 | − | 0.690561i | 0.0335366 | − | 0.0335366i | ||||
\(425\) | 2.77404 | + | 1.60159i | 0.134561 | + | 0.0776887i | ||||
\(426\) | 21.2276 | − | 0.0644282i | 1.02848 | − | 0.00312155i | ||||
\(427\) | −7.55198 | − | 2.02355i | −0.365466 | − | 0.0979263i | ||||
\(428\) | −5.49820 | −0.265766 | ||||||||
\(429\) | 1.80496 | + | 5.97847i | 0.0871445 | + | 0.288643i | ||||
\(430\) | −15.5858 | −0.751612 | ||||||||
\(431\) | 0.337862 | + | 0.0905298i | 0.0162742 | + | 0.00436067i | 0.266947 | − | 0.963711i | \(-0.413985\pi\) |
−0.250673 | + | 0.968072i | \(0.580652\pi\) | |||||||
\(432\) | −20.9229 | + | 12.3352i | −1.00665 | + | 0.593478i | ||||
\(433\) | −9.19071 | − | 5.30626i | −0.441677 | − | 0.255003i | 0.262631 | − | 0.964896i | \(-0.415410\pi\) |
−0.704309 | + | 0.709894i | \(0.748743\pi\) | |||||||
\(434\) | −33.7877 | + | 33.7877i | −1.62186 | + | 1.62186i | ||||
\(435\) | 11.8822 | + | 3.14521i | 0.569709 | + | 0.150801i | ||||
\(436\) | 1.85915 | + | 6.93845i | 0.0890373 | + | 0.332292i | ||||
\(437\) | 6.53039 | + | 6.53039i | 0.312391 | + | 0.312391i | ||||
\(438\) | −14.9661 | − | 25.7412i | −0.715107 | − | 1.22996i | ||||
\(439\) | −11.4072 | + | 6.58593i | −0.544434 | + | 0.314329i | −0.746874 | − | 0.664965i | \(-0.768446\pi\) |
0.202440 | + | 0.979295i | \(0.435113\pi\) | |||||||
\(440\) | 0.647672 | − | 2.41714i | 0.0308765 | − | 0.115233i | ||||
\(441\) | 34.6825 | − | 20.3056i | 1.65155 | − | 0.966935i | ||||
\(442\) | 4.42781 | + | 1.05275i | 0.210610 | + | 0.0500743i | ||||
\(443\) | − | 23.3072i | − | 1.10736i | −0.832731 | − | 0.553678i | \(-0.813224\pi\) | ||
0.832731 | − | 0.553678i | \(-0.186776\pi\) | |||||||
\(444\) | 0.381065 | − | 0.383385i | 0.0180845 | − | 0.0181946i | ||||
\(445\) | −6.45758 | − | 11.1848i | −0.306118 | − | 0.530213i | ||||
\(446\) | −13.0097 | + | 22.5334i | −0.616025 | + | 1.06699i | ||||
\(447\) | 22.3826 | − | 6.07028i | 1.05866 | − | 0.287114i | ||||
\(448\) | −24.5372 | + | 6.57472i | −1.15927 | + | 0.310626i | ||||
\(449\) | −24.0621 | + | 6.44742i | −1.13556 | + | 0.304273i | −0.777165 | − | 0.629297i | \(-0.783343\pi\) |
−0.358396 | + | 0.933570i | \(0.616676\pi\) | |||||||
\(450\) | −4.67802 | + | 17.8924i | −0.220524 | + | 0.843454i | ||||
\(451\) | 4.05178 | − | 7.01789i | 0.190791 | − | 0.330460i | ||||
\(452\) | 1.00116 | + | 1.73406i | 0.0470906 | + | 0.0815634i | ||||
\(453\) | 15.0093 | + | 14.9185i | 0.705199 | + | 0.700932i | ||||
\(454\) | − | 4.31222i | − | 0.202383i | ||||||
\(455\) | 0.472217 | + | 16.6379i | 0.0221379 | + | 0.779997i | ||||
\(456\) | −4.43992 | + | 7.74436i | −0.207918 | + | 0.362663i | ||||
\(457\) | 5.56709 | − | 20.7767i | 0.260418 | − | 0.971892i | −0.704578 | − | 0.709626i | \(-0.748864\pi\) |
0.964996 | − | 0.262265i | \(-0.0844696\pi\) | |||||||
\(458\) | 23.0458 | − | 13.3055i | 1.07686 | − | 0.621726i | ||||
\(459\) | −3.66344 | − | 2.07085i | −0.170995 | − | 0.0966588i | ||||
\(460\) | −1.36119 | − | 1.36119i | −0.0634659 | − | 0.0634659i | ||||
\(461\) | 7.06327 | + | 26.3605i | 0.328969 | + | 1.22773i | 0.910261 | + | 0.414035i | \(0.135881\pi\) |
−0.581292 | + | 0.813695i | \(0.697453\pi\) | |||||||
\(462\) | −3.11979 | + | 11.7862i | −0.145146 | + | 0.548343i | ||||
\(463\) | 9.49329 | − | 9.49329i | 0.441191 | − | 0.441191i | −0.451221 | − | 0.892412i | \(-0.649011\pi\) |
0.892412 | + | 0.451221i | \(0.149011\pi\) | |||||||
\(464\) | 28.1038 | + | 16.2257i | 1.30469 | + | 0.753261i | ||||
\(465\) | 0.0364766 | + | 12.0182i | 0.00169156 | + | 0.557329i | ||||
\(466\) | 41.3837 | + | 11.0887i | 1.91706 | + | 0.513676i | ||||
\(467\) | 32.2721 | 1.49338 | 0.746688 | − | 0.665174i | \(-0.231643\pi\) | ||||
0.746688 | + | 0.665174i | \(0.231643\pi\) | |||||||
\(468\) | 0.159914 | + | 4.64080i | 0.00739202 | + | 0.214521i | ||||
\(469\) | −28.9309 | −1.33590 | ||||||||
\(470\) | 7.47530 | + | 2.00300i | 0.344810 | + | 0.0923916i | ||||
\(471\) | 0.0265118 | + | 8.73501i | 0.00122160 | + | 0.402488i | ||||
\(472\) | 19.9583 | + | 11.5229i | 0.918655 | + | 0.530386i | ||||
\(473\) | 6.91749 | − | 6.91749i | 0.318067 | − | 0.318067i | ||||
\(474\) | 1.93640 | − | 7.31550i | 0.0889420 | − | 0.336012i | ||||
\(475\) | 2.15507 | + | 8.04284i | 0.0988815 | + | 0.369031i | ||||
\(476\) | 1.11029 | + | 1.11029i | 0.0508903 | + | 0.0508903i | ||||
\(477\) | 0.00726449 | + | 1.19673i | 0.000332618 | + | 0.0547944i | ||||
\(478\) | 1.03805 | − | 0.599316i | 0.0474791 | − | 0.0274121i | ||||
\(479\) | −1.35986 | + | 5.07505i | −0.0621334 | + | 0.231885i | −0.990009 | − | 0.141005i | \(-0.954967\pi\) |
0.927875 | + | 0.372890i | \(0.121633\pi\) | |||||||
\(480\) | 2.10385 | − | 3.66965i | 0.0960273 | − | 0.167496i | ||||
\(481\) | 0.749956 | + | 2.51156i | 0.0341950 | + | 0.114517i | ||||
\(482\) | − | 24.5894i | − | 1.12002i | ||||||
\(483\) | −24.3383 | − | 24.1910i | −1.10743 | − | 1.10073i | ||||
\(484\) | −0.214648 | − | 0.371782i | −0.00975674 | − | 0.0168992i | ||||
\(485\) | −2.17733 | + | 3.77125i | −0.0988676 | + | 0.171244i | ||||
\(486\) | 5.93153 | − | 23.5613i | 0.269060 | − | 1.06876i | ||||
\(487\) | 11.8773 | − | 3.18253i | 0.538214 | − | 0.144214i | 0.0205353 | − | 0.999789i | \(-0.493463\pi\) |
0.517679 | + | 0.855575i | \(0.326796\pi\) | |||||||
\(488\) | −4.09371 | + | 1.09691i | −0.185314 | + | 0.0496547i | ||||
\(489\) | −11.5540 | + | 3.13351i | −0.522491 | + | 0.141702i | ||||
\(490\) | −10.6715 | + | 18.4836i | −0.482089 | + | 0.835003i | ||||
\(491\) | −14.3315 | − | 24.8229i | −0.646772 | − | 1.12024i | −0.983889 | − | 0.178780i | \(-0.942785\pi\) |
0.337117 | − | 0.941463i | \(-0.390548\pi\) | |||||||
\(492\) | 4.24773 | − | 4.27359i | 0.191503 | − | 0.192669i | ||||
\(493\) | 5.62259i | 0.253229i | ||||||||
\(494\) | 6.20368 | + | 10.0738i | 0.279117 | + | 0.453242i | ||||
\(495\) | 1.54935 | + | 2.64633i | 0.0696381 | + | 0.118943i | ||||
\(496\) | −8.21236 | + | 30.6490i | −0.368746 | + | 1.37618i | ||||
\(497\) | −30.7546 | + | 17.7561i | −1.37953 | + | 0.796472i | ||||
\(498\) | −14.3839 | − | 24.7400i | −0.644559 | − | 1.10863i | ||||
\(499\) | −15.5915 | − | 15.5915i | −0.697973 | − | 0.697973i | 0.266000 | − | 0.963973i | \(-0.414298\pi\) |
−0.963973 | + | 0.266000i | \(0.914298\pi\) | |||||||
\(500\) | −1.01707 | − | 3.79576i | −0.0454848 | − | 0.169752i | ||||
\(501\) | −41.6468 | − | 11.0239i | −1.86064 | − | 0.492509i | ||||
\(502\) | −20.8985 | + | 20.8985i | −0.932745 | + | 0.932745i | ||||
\(503\) | 25.2920 | + | 14.6023i | 1.12771 | + | 0.651085i | 0.943359 | − | 0.331775i | \(-0.107647\pi\) |
0.184354 | + | 0.982860i | \(0.440981\pi\) | |||||||
\(504\) | 16.4099 | − | 28.8254i | 0.730953 | − | 1.28399i | ||||
\(505\) | 8.79961 | + | 2.35785i | 0.391578 | + | 0.104923i | ||||
\(506\) | 6.83743 | 0.303961 | ||||||||
\(507\) | −20.1378 | − | 10.0731i | −0.894352 | − | 0.447363i | ||||
\(508\) | −4.77036 | −0.211650 | ||||||||
\(509\) | 28.0102 | + | 7.50531i | 1.24153 | + | 0.332667i | 0.819059 | − | 0.573710i | \(-0.194496\pi\) |
0.422471 | + | 0.906377i | \(0.361163\pi\) | |||||||
\(510\) | 2.23481 | − | 0.00678292i | 0.0989591 | − | 0.000300353i | ||||
\(511\) | 43.1390 | + | 24.9063i | 1.90836 | + | 1.10179i | ||||
\(512\) | −8.28642 | + | 8.28642i | −0.366212 | + | 0.366212i | ||||
\(513\) | −2.92735 | − | 10.5402i | −0.129246 | − | 0.465360i | ||||
\(514\) | −9.23238 | − | 34.4557i | −0.407223 | − | 1.51978i | ||||
\(515\) | −6.16956 | − | 6.16956i | −0.271863 | − | 0.271863i | ||||
\(516\) | 6.28852 | − | 3.65617i | 0.276837 | − | 0.160954i | ||||
\(517\) | −4.20679 | + | 2.42879i | −0.185015 | + | 0.106818i | ||||
\(518\) | −1.32444 | + | 4.94287i | −0.0581925 | + | 0.217177i | ||||
\(519\) | −6.51833 | − | 3.73703i | −0.286123 | − | 0.164037i | ||||
\(520\) | 4.73115 | + | 7.68264i | 0.207475 | + | 0.336906i | ||||
\(521\) | − | 31.0806i | − | 1.36167i | −0.732438 | − | 0.680833i | \(-0.761618\pi\) | ||
0.732438 | − | 0.680833i | \(-0.238382\pi\) | |||||||
\(522\) | −31.3046 | + | 8.59205i | −1.37017 | + | 0.376064i | ||||
\(523\) | −17.3773 | − | 30.0984i | −0.759857 | − | 1.31611i | −0.942923 | − | 0.333010i | \(-0.891936\pi\) |
0.183067 | − | 0.983100i | \(-0.441398\pi\) | |||||||
\(524\) | 1.24938 | − | 2.16398i | 0.0545792 | − | 0.0945340i | ||||
\(525\) | −8.09820 | − | 29.8601i | −0.353435 | − | 1.30320i | ||||
\(526\) | −7.57976 | + | 2.03099i | −0.330493 | + | 0.0885555i | ||||
\(527\) | −5.31028 | + | 1.42288i | −0.231319 | + | 0.0619818i | ||||
\(528\) | 2.11916 | + | 7.81386i | 0.0922244 | + | 0.340054i | ||||
\(529\) | 1.87778 | − | 3.25240i | 0.0816424 | − | 0.141409i | ||||
\(530\) | −0.317773 | − | 0.550399i | −0.0138032 | − | 0.0239078i | ||||
\(531\) | −27.2338 | + | 7.47475i | −1.18185 | + | 0.324377i | ||||
\(532\) | 4.08166i | 0.176962i | ||||||||
\(533\) | 8.35977 | + | 27.9963i | 0.362102 | + | 1.21266i | ||||
\(534\) | 29.5914 | + | 16.9651i | 1.28054 | + | 0.734150i | ||||
\(535\) | 3.38831 | − | 12.6454i | 0.146490 | − | 0.546706i | ||||
\(536\) | −13.5816 | + | 7.84131i | −0.586634 | + | 0.338693i | ||||
\(537\) | −2.23728 | + | 1.30076i | −0.0965458 | + | 0.0561321i | ||||
\(538\) | −30.1447 | − | 30.1447i | −1.29963 | − | 1.29963i | ||||
\(539\) | −3.46726 | − | 12.9400i | −0.149346 | − | 0.557366i | ||||
\(540\) | 0.610176 | + | 2.19699i | 0.0262578 | + | 0.0945434i | ||||
\(541\) | 22.0484 | − | 22.0484i | 0.947933 | − | 0.947933i | −0.0507774 | − | 0.998710i | \(-0.516170\pi\) |
0.998710 | + | 0.0507774i | \(0.0161699\pi\) | |||||||
\(542\) | 13.9521 | + | 8.05523i | 0.599292 | + | 0.346002i | ||||
\(543\) | −35.4995 | + | 0.107745i | −1.52343 | + | 0.00462379i | ||||
\(544\) | 1.86902 | + | 0.500802i | 0.0801334 | + | 0.0214717i | ||||
\(545\) | −17.1035 | −0.732634 | ||||||||
\(546\) | −23.1643 | − | 37.3608i | −0.991342 | − | 1.59889i | ||||
\(547\) | 22.6047 | 0.966505 | 0.483253 | − | 0.875481i | \(-0.339455\pi\) | ||||
0.483253 | + | 0.875481i | \(0.339455\pi\) | |||||||
\(548\) | 6.37210 | + | 1.70740i | 0.272203 | + | 0.0729365i | ||||
\(549\) | 2.56940 | − | 4.51339i | 0.109659 | − | 0.192627i | ||||
\(550\) | 5.33870 | + | 3.08230i | 0.227643 | + | 0.131430i | ||||
\(551\) | −10.3349 | + | 10.3349i | −0.440280 | + | 0.440280i | ||||
\(552\) | −17.9822 | − | 4.75987i | −0.765373 | − | 0.202593i | ||||
\(553\) | 3.27659 | + | 12.2284i | 0.139335 | + | 0.520005i | ||||
\(554\) | −22.2044 | − | 22.2044i | −0.943373 | − | 0.943373i | ||||
\(555\) | 0.646915 | + | 1.11268i | 0.0274600 | + | 0.0472305i | ||||
\(556\) | −4.87235 | + | 2.81305i | −0.206634 | + | 0.119300i | ||||
\(557\) | 4.95821 | − | 18.5043i | 0.210086 | − | 0.784051i | −0.777753 | − | 0.628570i | \(-0.783641\pi\) |
0.987839 | − | 0.155481i | \(-0.0496928\pi\) | |||||||
\(558\) | −16.0369 | − | 27.3914i | −0.678898 | − | 1.15957i | ||||
\(559\) | 1.00070 | + | 35.2582i | 0.0423251 | + | 1.49126i | ||||
\(560\) | 21.5783i | 0.911851i | ||||||||
\(561\) | −0.988875 | + | 0.994896i | −0.0417503 | + | 0.0420045i | ||||
\(562\) | −11.7248 | − | 20.3079i | −0.494580 | − | 0.856638i | ||||
\(563\) | 21.3106 | − | 36.9111i | 0.898136 | − | 1.55562i | 0.0682604 | − | 0.997668i | \(-0.478255\pi\) |
0.829875 | − | 0.557949i | \(-0.188412\pi\) | |||||||
\(564\) | −3.48600 | + | 0.945420i | −0.146787 | + | 0.0398094i | ||||
\(565\) | −4.60515 | + | 1.23395i | −0.193740 | + | 0.0519126i | ||||
\(566\) | 2.44083 | − | 0.654019i | 0.102596 | − | 0.0274905i | ||||
\(567\) | 10.9959 | + | 39.1306i | 0.461783 | + | 1.64333i | ||||
\(568\) | −9.62511 | + | 16.6712i | −0.403861 | + | 0.699507i | ||||
\(569\) | −18.6305 | − | 32.2690i | −0.781033 | − | 1.35279i | −0.931340 | − | 0.364150i | \(-0.881360\pi\) |
0.150308 | − | 0.988639i | \(-0.451974\pi\) | |||||||
\(570\) | 4.12027 | + | 4.09533i | 0.172579 | + | 0.171535i | ||||
\(571\) | − | 36.4187i | − | 1.52407i | −0.647534 | − | 0.762037i | \(-0.724199\pi\) | ||
0.647534 | − | 0.762037i | \(-0.275801\pi\) | |||||||
\(572\) | 1.50587 | + | 0.358035i | 0.0629637 | + | 0.0149702i | ||||
\(573\) | 17.0639 | − | 29.7637i | 0.712853 | − | 1.24340i | ||||
\(574\) | −14.7635 | + | 55.0982i | −0.616218 | + | 2.29976i | ||||
\(575\) | −15.0262 | + | 8.67535i | −0.626634 | + | 0.361787i | ||||
\(576\) | −0.102430 | − | 16.8739i | −0.00426791 | − | 0.703081i | ||||
\(577\) | 26.8286 | + | 26.8286i | 1.11689 | + | 1.11689i | 0.992195 | + | 0.124692i | \(0.0397943\pi\) |
0.124692 | + | 0.992195i | \(0.460206\pi\) | |||||||
\(578\) | −6.59322 | − | 24.6062i | −0.274242 | − | 1.02348i | ||||
\(579\) | 7.80254 | − | 29.4770i | 0.324262 | − | 1.22502i | ||||
\(580\) | 2.15419 | − | 2.15419i | 0.0894480 | − | 0.0894480i | ||||
\(581\) | 41.4610 | + | 23.9375i | 1.72009 | + | 0.993096i | ||||
\(582\) | −0.0349064 | − | 11.5008i | −0.00144692 | − | 0.476725i | ||||
\(583\) | 0.385324 | + | 0.103247i | 0.0159585 | + | 0.00427607i | ||||
\(584\) | 27.0020 | 1.11735 | ||||||||
\(585\) | −10.7720 | − | 2.49214i | −0.445366 | − | 0.103037i | ||||
\(586\) | 31.3883 | 1.29664 | ||||||||
\(587\) | 20.4373 | + | 5.47617i | 0.843539 | + | 0.226026i | 0.654611 | − | 0.755966i | \(-0.272832\pi\) |
0.188927 | + | 0.981991i | \(0.439499\pi\) | |||||||
\(588\) | −0.0302331 | − | 9.96109i | −0.00124679 | − | 0.410788i | ||||
\(589\) | −12.3762 | − | 7.14540i | −0.509953 | − | 0.294421i | ||||
\(590\) | 10.6049 | − | 10.6049i | 0.436598 | − | 0.436598i | ||||
\(591\) | −6.66747 | + | 25.1889i | −0.274263 | + | 1.03613i | ||||
\(592\) | 0.879489 | + | 3.28230i | 0.0361468 | + | 0.134902i | ||||
\(593\) | 5.72278 | + | 5.72278i | 0.235007 | + | 0.235007i | 0.814779 | − | 0.579772i | \(-0.196858\pi\) |
−0.579772 | + | 0.814779i | \(0.696858\pi\) | |||||||
\(594\) | −7.05037 | − | 3.98538i | −0.289280 | − | 0.163522i | ||||
\(595\) | −3.23780 | + | 1.86935i | −0.132737 | + | 0.0766357i | ||||
\(596\) | 1.48770 | − | 5.55217i | 0.0609386 | − | 0.227426i | ||||
\(597\) | −15.0574 | + | 26.2640i | −0.616260 | + | 1.07492i | ||||
\(598\) | −16.9305 | + | 17.9196i | −0.692341 | + | 0.732789i | ||||
\(599\) | 3.91773i | 0.160074i | 0.996792 | + | 0.0800371i | \(0.0255039\pi\) | ||||
−0.996792 | + | 0.0800371i | \(0.974496\pi\) | |||||||
\(600\) | −11.8948 | − | 11.8229i | −0.485605 | − | 0.482666i | ||||
\(601\) | −3.14233 | − | 5.44268i | −0.128178 | − | 0.222012i | 0.794792 | − | 0.606881i | \(-0.207580\pi\) |
−0.922971 | + | 0.384870i | \(0.874246\pi\) | |||||||
\(602\) | −34.4312 | + | 59.6365i | −1.40331 | + | 2.43060i | ||||
\(603\) | 4.86118 | − | 18.5929i | 0.197963 | − | 0.757161i | ||||
\(604\) | 5.06644 | − | 1.35755i | 0.206150 | − | 0.0552378i | ||||
\(605\) | 0.987343 | − | 0.264558i | 0.0401412 | − | 0.0107558i | ||||
\(606\) | −23.2212 | + | 6.29771i | −0.943298 | + | 0.255827i | ||||
\(607\) | −19.9662 | + | 34.5825i | −0.810404 | + | 1.40366i | 0.102178 | + | 0.994766i | \(0.467419\pi\) |
−0.912582 | + | 0.408894i | \(0.865914\pi\) | |||||||
\(608\) | 2.51491 | + | 4.35595i | 0.101993 | + | 0.176657i | ||||
\(609\) | 38.2842 | − | 38.5173i | 1.55135 | − | 1.56080i | ||||
\(610\) | 2.75806i | 0.111671i | ||||||||
\(611\) | 4.05125 | − | 17.0393i | 0.163896 | − | 0.689336i | ||||
\(612\) | −0.900108 | + | 0.526988i | −0.0363847 | + | 0.0213022i | ||||
\(613\) | 6.98427 | − | 26.0657i | 0.282092 | − | 1.05278i | −0.668846 | − | 0.743401i | \(-0.733211\pi\) |
0.950938 | − | 0.309381i | \(-0.100122\pi\) | |||||||
\(614\) | −16.0179 | + | 9.24791i | −0.646428 | + | 0.373215i | ||||
\(615\) | 7.21117 | + | 12.4030i | 0.290783 | + | 0.500138i | ||||
\(616\) | −7.81803 | − | 7.81803i | −0.314997 | − | 0.314997i | ||||
\(617\) | −4.15340 | − | 15.5007i | −0.167210 | − | 0.624035i | −0.997748 | − | 0.0670735i | \(-0.978634\pi\) |
0.830538 | − | 0.556961i | \(-0.188033\pi\) | |||||||
\(618\) | 22.2762 | + | 5.89648i | 0.896080 | + | 0.237191i | ||||
\(619\) | −11.0819 | + | 11.0819i | −0.445418 | + | 0.445418i | −0.893828 | − | 0.448410i | \(-0.851990\pi\) |
0.448410 | + | 0.893828i | \(0.351990\pi\) | |||||||
\(620\) | 2.57969 | + | 1.48939i | 0.103603 | + | 0.0598152i | ||||
\(621\) | 19.6362 | − | 11.5766i | 0.787975 | − | 0.464555i | ||||
\(622\) | 5.93614 | + | 1.59058i | 0.238018 | + | 0.0637766i | ||||
\(623\) | −57.0628 | −2.28617 | ||||||||
\(624\) | −25.7260 | − | 13.7944i | −1.02987 | − | 0.552217i | ||||
\(625\) | −10.4191 | −0.416766 | ||||||||
\(626\) | 7.11367 | + | 1.90610i | 0.284319 | + | 0.0761832i | ||||
\(627\) | −3.64636 | + | 0.0110671i | −0.145622 | + | 0.000441979i | ||||
\(628\) | 1.87496 | + | 1.08251i | 0.0748192 | + | 0.0431969i | ||||
\(629\) | −0.416314 | + | 0.416314i | −0.0165995 | + | 0.0165995i | ||||
\(630\) | −15.3557 | − | 15.1704i | −0.611784 | − | 0.604402i | ||||
\(631\) | 8.21544 | + | 30.6604i | 0.327051 | + | 1.22057i | 0.912234 | + | 0.409671i | \(0.134356\pi\) |
−0.585182 | + | 0.810902i | \(0.698977\pi\) | |||||||
\(632\) | 4.85252 | + | 4.85252i | 0.193023 | + | 0.193023i | ||||
\(633\) | −17.9511 | + | 10.4369i | −0.713493 | + | 0.414828i | ||||
\(634\) | 17.0417 | − | 9.83903i | 0.676812 | − | 0.390758i | ||||
\(635\) | 2.93977 | − | 10.9714i | 0.116661 | − | 0.435386i | ||||
\(636\) | 0.257329 | + | 0.147530i | 0.0102038 | + | 0.00584993i | ||||
\(637\) | 42.4988 | + | 22.9544i | 1.68387 | + | 0.909485i | ||||
\(638\) | 10.8208i | 0.428399i | ||||||||
\(639\) | −6.24367 | − | 22.7484i | −0.246996 | − | 0.899914i | ||||
\(640\) | 6.92278 | + | 11.9906i | 0.273647 | + | 0.473970i | ||||
\(641\) | −1.23655 | + | 2.14176i | −0.0488406 | + | 0.0845945i | −0.889412 | − | 0.457106i | \(-0.848886\pi\) |
0.840572 | + | 0.541701i | \(0.182219\pi\) | |||||||
\(642\) | 9.05003 | + | 33.3697i | 0.357176 | + | 1.31700i | ||||
\(643\) | 13.4906 | − | 3.61479i | 0.532016 | − | 0.142553i | 0.0171972 | − | 0.999852i | \(-0.494526\pi\) |
0.514819 | + | 0.857299i | \(0.327859\pi\) | |||||||
\(644\) | −8.21545 | + | 2.20132i | −0.323734 | + | 0.0867443i | ||||
\(645\) | 4.53351 | + | 16.7162i | 0.178507 | + | 0.658199i | ||||
\(646\) | −1.32871 | + | 2.30139i | −0.0522773 | + | 0.0905470i | ||||
\(647\) | 2.30184 | + | 3.98690i | 0.0904946 | + | 0.156741i | 0.907719 | − | 0.419578i | \(-0.137822\pi\) |
−0.817225 | + | 0.576319i | \(0.804489\pi\) | |||||||
\(648\) | 15.7678 | + | 15.3895i | 0.619418 | + | 0.604557i | ||||
\(649\) | 9.41366i | 0.369518i | ||||||||
\(650\) | −21.2976 | + | 6.35950i | −0.835359 | + | 0.249440i | ||||
\(651\) | 46.0662 | + | 26.4103i | 1.80548 | + | 1.03510i | ||||
\(652\) | −0.767959 | + | 2.86606i | −0.0300756 | + | 0.112244i | ||||
\(653\) | −4.09778 | + | 2.36586i | −0.160359 | + | 0.0925831i | −0.578032 | − | 0.816014i | \(-0.696179\pi\) |
0.417673 | + | 0.908597i | \(0.362846\pi\) | |||||||
\(654\) | 39.0507 | − | 22.7043i | 1.52700 | − | 0.887807i | ||||
\(655\) | 4.20702 | + | 4.20702i | 0.164382 | + | 0.164382i | ||||
\(656\) | 9.80367 | + | 36.5878i | 0.382769 | + | 1.42851i | ||||
\(657\) | −23.2550 | + | 23.5390i | −0.907263 | + | 0.918345i | ||||
\(658\) | 24.1782 | − | 24.1782i | 0.942564 | − | 0.942564i | ||||
\(659\) | −35.7398 | − | 20.6344i | −1.39223 | − | 0.803802i | −0.398665 | − | 0.917097i | \(-0.630526\pi\) |
−0.993561 | + | 0.113295i | \(0.963860\pi\) | |||||||
\(660\) | 0.760047 | − | 0.00230683i | 0.0295848 | − | 8.97933e-5i | ||||
\(661\) | 18.1856 | + | 4.87280i | 0.707336 | + | 0.189530i | 0.594514 | − | 0.804085i | \(-0.297344\pi\) |
0.112822 | + | 0.993615i | \(0.464011\pi\) | |||||||
\(662\) | 2.24056 | 0.0870816 | ||||||||
\(663\) | −0.158833 | − | 5.05517i | −0.00616855 | − | 0.196327i | ||||
\(664\) | 25.9517 | 1.00712 | ||||||||
\(665\) | −9.38743 | − | 2.51535i | −0.364029 | − | 0.0975413i | ||||
\(666\) | −2.95407 | − | 1.68171i | −0.114468 | − | 0.0651649i | ||||
\(667\) | −26.3756 | − | 15.2279i | −1.02127 | − | 0.589628i | ||||
\(668\) | −7.55037 | + | 7.55037i | −0.292133 | + | 0.292133i | ||||
\(669\) | 27.9519 | + | 7.39883i | 1.08068 | + | 0.286055i | ||||
\(670\) | 2.64147 | + | 9.85808i | 0.102049 | + | 0.380851i | ||||
\(671\) | −1.22412 | − | 1.22412i | −0.0472567 | − | 0.0472567i | ||||
\(672\) | −9.39366 | − | 16.1569i | −0.362368 | − | 0.623264i | ||||
\(673\) | 25.4604 | − | 14.6996i | 0.981427 | − | 0.566627i | 0.0787261 | − | 0.996896i | \(-0.474915\pi\) |
0.902701 | + | 0.430269i | \(0.141581\pi\) | |||||||
\(674\) | −1.85943 | + | 6.93947i | −0.0716224 | + | 0.267299i | ||||
\(675\) | 20.5508 | − | 0.187127i | 0.791000 | − | 0.00720251i | ||||
\(676\) | −4.66711 | + | 3.06006i | −0.179504 | + | 0.117695i | ||||
\(677\) | 23.6108i | 0.907435i | 0.891146 | + | 0.453718i | \(0.149902\pi\) | ||||
−0.891146 | + | 0.453718i | \(0.850098\pi\) | |||||||
\(678\) | 8.87647 | − | 8.93051i | 0.340899 | − | 0.342974i | ||||
\(679\) | 9.62007 | + | 16.6625i | 0.369185 | + | 0.639446i | ||||
\(680\) | −1.01332 | + | 1.75512i | −0.0388590 | + | 0.0673058i | ||||
\(681\) | −4.62498 | + | 1.25432i | −0.177230 | + | 0.0480656i | ||||
\(682\) | −10.2197 | + | 2.73837i | −0.391334 | + | 0.104858i | ||||
\(683\) | −4.04949 | + | 1.08506i | −0.154949 | + | 0.0415185i | −0.335460 | − | 0.942055i | \(-0.608892\pi\) |
0.180511 | + | 0.983573i | \(0.442225\pi\) | |||||||
\(684\) | −2.62314 | − | 0.685830i | −0.100298 | − | 0.0262234i | ||||
\(685\) | −7.85372 | + | 13.6030i | −0.300075 | + | 0.519746i | ||||
\(686\) | 22.5128 | + | 38.9933i | 0.859542 | + | 1.48877i | ||||
\(687\) | −20.9740 | − | 20.8471i | −0.800208 | − | 0.795365i | ||||
\(688\) | 45.7278i | 1.74336i | ||||||||
\(689\) | −1.22471 | + | 0.754207i | −0.0466579 | + | 0.0287330i | ||||
\(690\) | −6.02083 | + | 10.5019i | −0.229209 | + | 0.399799i | ||||
\(691\) | 8.50823 | − | 31.7531i | 0.323668 | − | 1.20795i | −0.591976 | − | 0.805956i | \(-0.701652\pi\) |
0.915644 | − | 0.401990i | \(-0.131681\pi\) | |||||||
\(692\) | −1.61278 | + | 0.931138i | −0.0613086 | + | 0.0353966i | ||||
\(693\) | 13.5485 | − | 0.0822433i | 0.514665 | − | 0.00312416i | ||||
\(694\) | 8.37569 | + | 8.37569i | 0.317937 | + | 0.317937i | ||||
\(695\) | −3.46714 | − | 12.9395i | −0.131516 | − | 0.490824i | ||||
\(696\) | 7.53286 | − | 28.4582i | 0.285532 | − | 1.07871i | ||||
\(697\) | −4.64065 | + | 4.64065i | −0.175777 | + | 0.175777i | ||||
\(698\) | −34.4673 | − | 19.8997i | −1.30461 | − | 0.753216i | ||||
\(699\) | −0.144504 | − | 47.6106i | −0.00546564 | − | 1.80080i | ||||
\(700\) | −7.40702 | − | 1.98470i | −0.279959 | − | 0.0750148i | ||||
\(701\) | −41.5939 | −1.57098 | −0.785490 | − | 0.618875i | \(-0.787589\pi\) | ||||
−0.785490 | + | 0.618875i | \(0.787589\pi\) | |||||||
\(702\) | 27.9027 | − | 8.60930i | 1.05312 | − | 0.324937i | ||||
\(703\) | −1.53045 | −0.0577220 | ||||||||
\(704\) | −5.43309 | − | 1.45579i | −0.204767 | − | 0.0548672i | ||||
\(705\) | −0.0261023 | − | 8.60010i | −0.000983070 | − | 0.323898i | ||||
\(706\) | −8.35713 | − | 4.82499i | −0.314525 | − | 0.181591i | ||||
\(707\) | 28.4615 | − | 28.4615i | 1.07041 | − | 1.07041i | ||||
\(708\) | −1.79111 | + | 6.76661i | −0.0673142 | + | 0.254305i | ||||
\(709\) | −0.479146 | − | 1.78820i | −0.0179947 | − | 0.0671572i | 0.956345 | − | 0.292241i | \(-0.0944010\pi\) |
−0.974339 | + | 0.225084i | \(0.927734\pi\) | |||||||
\(710\) | 8.85830 | + | 8.85830i | 0.332446 | + | 0.332446i | ||||
\(711\) | −8.40933 | + | 0.0510471i | −0.315375 | + | 0.00191442i | ||||
\(712\) | −26.7880 | + | 15.4661i | −1.00392 | + | 0.579615i | ||||
\(713\) | 7.70734 | − | 28.7642i | 0.288642 | − | 1.07723i | ||||
\(714\) | 4.91106 | − | 8.56615i | 0.183792 | − | 0.320580i | ||||
\(715\) | −1.75145 | + | 3.24273i | −0.0655007 | + | 0.121271i | ||||
\(716\) | 0.641432i | 0.0239714i | ||||||||
\(717\) | −0.944725 | − | 0.939008i | −0.0352814 | − | 0.0350679i | ||||
\(718\) | −12.1247 | − | 21.0005i | −0.452489 | − | 0.783733i | ||||
\(719\) | −1.00585 | + | 1.74219i | −0.0375121 | + | 0.0649728i | −0.884172 | − | 0.467162i | \(-0.845277\pi\) |
0.846660 | + | 0.532134i | \(0.178610\pi\) | |||||||
\(720\) | −13.8677 | − | 3.62575i | −0.516817 | − | 0.135124i | ||||
\(721\) | −37.2363 | + | 9.97744i | −1.38675 | + | 0.371579i | ||||
\(722\) | 21.9322 | − | 5.87673i | 0.816234 | − | 0.218709i | ||||
\(723\) | −26.3728 | + | 7.15244i | −0.980816 | + | 0.266002i | ||||
\(724\) | −4.39938 | + | 7.61995i | −0.163502 | + | 0.283193i | ||||
\(725\) | −13.7294 | − | 23.7801i | −0.509898 | − | 0.883170i | ||||
\(726\) | −1.90311 | + | 1.91470i | −0.0706310 | + | 0.0710611i | ||||
\(727\) | − | 25.8467i | − | 0.958603i | −0.877650 | − | 0.479301i | \(-0.840890\pi\) | ||
0.877650 | − | 0.479301i | \(-0.159110\pi\) | |||||||
\(728\) | 39.8482 | − | 1.13097i | 1.47687 | − | 0.0419167i | ||||
\(729\) | −26.9955 | + | 0.491661i | −0.999834 | + | 0.0182096i | ||||
\(730\) | 4.54802 | − | 16.9734i | 0.168330 | − | 0.628215i | ||||
\(731\) | −6.86139 | + | 3.96143i | −0.253778 | + | 0.146519i | ||||
\(732\) | −0.646997 | − | 1.11282i | −0.0239137 | − | 0.0411310i | ||||
\(733\) | 26.4081 | + | 26.4081i | 0.975406 | + | 0.975406i | 0.999705 | − | 0.0242989i | \(-0.00773535\pi\) |
−0.0242989 | + | 0.999705i | \(0.507735\pi\) | |||||||
\(734\) | 4.33354 | + | 16.1730i | 0.159954 | + | 0.596956i | ||||
\(735\) | 22.9282 | + | 6.06907i | 0.845720 | + | 0.223861i | ||||
\(736\) | −7.41121 | + | 7.41121i | −0.273181 | + | 0.273181i | ||||
\(737\) | −5.54772 | − | 3.20298i | −0.204353 | − | 0.117983i | ||||
\(738\) | −32.9291 | − | 18.7460i | −1.21214 | − | 0.690051i | ||||
\(739\) | −30.6537 | − | 8.21364i | −1.12761 | − | 0.302144i | −0.353654 | − | 0.935376i | \(-0.615061\pi\) |
−0.773961 | + | 0.633233i | \(0.781728\pi\) | |||||||
\(740\) | 0.319006 | 0.0117269 | ||||||||
\(741\) | 8.99995 | − | 9.58384i | 0.330621 | − | 0.352071i | ||||
\(742\) | −2.80802 | −0.103086 | ||||||||
\(743\) | 33.8281 | + | 9.06420i | 1.24103 | + | 0.332533i | 0.818866 | − | 0.573985i | \(-0.194603\pi\) |
0.422166 | + | 0.906519i | \(0.361270\pi\) | |||||||
\(744\) | 28.7838 | − | 0.0873623i | 1.05527 | − | 0.00320286i | ||||
\(745\) | 11.8527 | + | 6.84315i | 0.434249 | + | 0.250714i | ||||
\(746\) | −25.2614 | + | 25.2614i | −0.924886 | + | 0.924886i | ||||
\(747\) | −22.3504 | + | 22.6234i | −0.817759 | + | 0.827747i | ||||
\(748\) | 0.0899853 | + | 0.335830i | 0.00329019 | + | 0.0122792i | ||||
\(749\) | −40.9002 | − | 40.9002i | −1.49446 | − | 1.49446i | ||||
\(750\) | −21.3632 | + | 12.4206i | −0.780072 | + | 0.453537i | ||||
\(751\) | 9.09928 | − | 5.25347i | 0.332037 | − | 0.191702i | −0.324708 | − | 0.945814i | \(-0.605266\pi\) |
0.656745 | + | 0.754112i | \(0.271933\pi\) | |||||||
\(752\) | 5.87670 | − | 21.9321i | 0.214301 | − | 0.799783i | ||||
\(753\) | 28.4931 | + | 16.3354i | 1.03834 | + | 0.595294i | ||||
\(754\) | −28.3593 | − | 26.7939i | −1.03278 | − | 0.975776i | ||||
\(755\) | 12.4889i | 0.454519i | ||||||||
\(756\) | 9.75441 | + | 2.51872i | 0.354765 | + | 0.0916050i | ||||
\(757\) | 3.10530 | + | 5.37853i | 0.112864 | + | 0.195486i | 0.916924 | − | 0.399062i | \(-0.130664\pi\) |
−0.804060 | + | 0.594548i | \(0.797331\pi\) | |||||||
\(758\) | 5.95118 | − | 10.3077i | 0.216157 | − | 0.374394i | ||||
\(759\) | −1.98884 | − | 7.33334i | −0.0721902 | − | 0.266183i | ||||
\(760\) | −5.08866 | + | 1.36350i | −0.184585 | + | 0.0494594i | ||||
\(761\) | −36.1674 | + | 9.69104i | −1.31107 | + | 0.351300i | −0.845625 | − | 0.533778i | \(-0.820772\pi\) |
−0.465444 | + | 0.885077i | \(0.654105\pi\) | |||||||
\(762\) | 7.85200 | + | 28.9523i | 0.284448 | + | 1.04883i | ||||
\(763\) | −37.7841 | + | 65.4440i | −1.36788 | + | 2.36923i | ||||
\(764\) | −4.25173 | − | 7.36420i | −0.153822 | − | 0.266428i | ||||
\(765\) | −0.657326 | − | 2.39493i | −0.0237657 | − | 0.0865887i | ||||
\(766\) | − | 50.8689i | − | 1.83797i | ||||||
\(767\) | −24.6714 | − | 23.3096i | −0.890834 | − | 0.841663i | ||||
\(768\) | −14.8194 | − | 8.49613i | −0.534750 | − | 0.306578i | ||||
\(769\) | −1.27566 | + | 4.76085i | −0.0460016 | + | 0.171680i | −0.985105 | − | 0.171955i | \(-0.944992\pi\) |
0.939103 | + | 0.343635i | \(0.111658\pi\) | |||||||
\(770\) | −6.23121 | + | 3.59759i | −0.224557 | + | 0.129648i | ||||
\(771\) | −34.2693 | + | 19.9243i | −1.23418 | + | 0.717556i | ||||
\(772\) | −5.34405 | − | 5.34405i | −0.192337 | − | 0.192337i | ||||
\(773\) | 8.65504 | + | 32.3011i | 0.311300 | + | 1.16179i | 0.927385 | + | 0.374108i | \(0.122051\pi\) |
−0.616085 | + | 0.787680i | \(0.711282\pi\) | |||||||
\(774\) | −32.5410 | − | 32.1483i | −1.16966 | − | 1.15555i | ||||
\(775\) | 18.9848 | − | 18.9848i | 0.681953 | − | 0.681953i | ||||
\(776\) | 9.03225 | + | 5.21477i | 0.324239 | + | 0.187199i | ||||
\(777\) | 5.68662 | − | 0.0172596i | 0.204006 | − | 0.000619183i | ||||
\(778\) | 22.5653 | + | 6.04636i | 0.809006 | + | 0.216772i | ||||
\(779\) | −17.0599 | −0.611236 | ||||||||
\(780\) | −1.87595 | + | 1.99765i | −0.0671696 | + | 0.0715275i | ||||
\(781\) | −7.86323 | −0.281369 | ||||||||
\(782\) | −5.34878 | − | 1.43320i | −0.191272 | − | 0.0512512i | ||||
\(783\) | 18.3210 | + | 31.0759i | 0.654737 | + | 1.11056i | ||||
\(784\) | 54.2298 | + | 31.3096i | 1.93678 | + | 1.11820i | ||||
\(785\) | −3.64514 | + | 3.64514i | −0.130101 | + | 0.130101i | ||||
\(786\) | −15.1901 | − | 4.02081i | −0.541814 | − | 0.143417i | ||||
\(787\) | 0.708971 | + | 2.64592i | 0.0252721 | + | 0.0943168i | 0.977410 | − | 0.211352i | \(-0.0677866\pi\) |
−0.952138 | + | 0.305669i | \(0.901120\pi\) | |||||||
\(788\) | 4.56663 | + | 4.56663i | 0.162680 | + | 0.162680i | ||||
\(789\) | 4.38306 | + | 7.53875i | 0.156041 | + | 0.268387i | ||||
\(790\) | 3.86762 | − | 2.23297i | 0.137604 | − | 0.0794455i | ||||
\(791\) | −5.45193 | + | 20.3469i | −0.193848 | + | 0.723452i | ||||
\(792\) | 6.33802 | − | 3.71074i | 0.225212 | − | 0.131855i | ||||
\(793\) | 6.23930 | − | 0.177084i | 0.221564 | − | 0.00628844i | ||||
\(794\) | 56.5699i | 2.00759i | ||||||||
\(795\) | −0.497886 | + | 0.500918i | −0.0176582 | + | 0.0177657i | ||||
\(796\) | 3.75180 | + | 6.49830i | 0.132979 | + | 0.230326i | ||||
\(797\) | −8.15570 | + | 14.1261i | −0.288890 | + | 0.500372i | −0.973545 | − | 0.228495i | \(-0.926619\pi\) |
0.684655 | + | 0.728867i | \(0.259953\pi\) | |||||||
\(798\) | 24.7724 | − | 6.71840i | 0.876934 | − | 0.237829i | ||||
\(799\) | 3.79999 | − | 1.01820i | 0.134434 | − | 0.0360215i | ||||
\(800\) | −9.12767 | + | 2.44575i | −0.322712 | + | 0.0864703i | ||||
\(801\) | 9.58811 | − | 36.6723i | 0.338779 | − | 1.29575i | ||||
\(802\) | 15.3470 | − | 26.5817i | 0.541921 | − | 0.938634i | ||||
\(803\) | 5.51483 | + | 9.55196i | 0.194614 | + | 0.337081i | ||||
\(804\) | −3.37833 | − | 3.35788i | −0.119144 | − | 0.118423i | ||||
\(805\) | − | 20.2514i | − | 0.713767i | ||||||
\(806\) | 18.1289 | − | 33.5646i | 0.638562 | − | 1.18226i | ||||
\(807\) | −23.5627 | + | 41.0994i | −0.829447 | + | 1.44677i | ||||
\(808\) | 5.64711 | − | 21.0753i | 0.198665 | − | 0.741427i | ||||
\(809\) | −12.4149 | + | 7.16776i | −0.436485 | + | 0.252005i | −0.702106 | − | 0.712073i | \(-0.747757\pi\) |
0.265620 | + | 0.964078i | \(0.414423\pi\) | |||||||
\(810\) | 12.3296 | − | 7.31953i | 0.433220 | − | 0.257182i | ||||
\(811\) | 5.06572 | + | 5.06572i | 0.177881 | + | 0.177881i | 0.790432 | − | 0.612550i | \(-0.209856\pi\) |
−0.612550 | + | 0.790432i | \(0.709856\pi\) | |||||||
\(812\) | −3.48377 | − | 13.0016i | −0.122256 | − | 0.456267i | ||||
\(813\) | 4.58115 | − | 17.3070i | 0.160668 | − | 0.606985i | ||||
\(814\) | −0.801204 | + | 0.801204i | −0.0280822 | + | 0.0280822i | ||||
\(815\) | −6.11841 | − | 3.53247i | −0.214319 | − | 0.123737i | ||||
\(816\) | −0.0199007 | − | 6.55682i | −0.000696664 | − | 0.229534i | ||||
\(817\) | −19.8934 | − | 5.33042i | −0.695982 | − | 0.186488i | ||||
\(818\) | 34.8087 | 1.21706 | ||||||||
\(819\) | −33.3326 | + | 35.7117i | −1.16473 | + | 1.24787i | ||||
\(820\) | 3.55597 | 0.124180 | ||||||||
\(821\) | 46.4920 | + | 12.4575i | 1.62258 | + | 0.434770i | 0.951759 | − | 0.306847i | \(-0.0992741\pi\) |
0.670824 | + | 0.741617i | \(0.265941\pi\) | |||||||
\(822\) | −0.125909 | − | 41.4840i | −0.00439157 | − | 1.44692i | ||||
\(823\) | 19.8631 | + | 11.4680i | 0.692384 | + | 0.399748i | 0.804505 | − | 0.593946i | \(-0.202431\pi\) |
−0.112120 | + | 0.993695i | \(0.535764\pi\) | |||||||
\(824\) | −14.7763 | + | 14.7763i | −0.514756 | + | 0.514756i | ||||
\(825\) | 1.75296 | − | 6.62247i | 0.0610302 | − | 0.230565i | ||||
\(826\) | −17.1503 | − | 64.0059i | −0.596736 | − | 2.22705i | ||||
\(827\) | 18.1940 | + | 18.1940i | 0.632667 | + | 0.632667i | 0.948736 | − | 0.316069i | \(-0.102363\pi\) |
−0.316069 | + | 0.948736i | \(0.602363\pi\) | |||||||
\(828\) | −0.0342952 | − | 5.64967i | −0.00119184 | − | 0.196340i | ||||
\(829\) | −5.05604 | + | 2.91911i | −0.175604 | + | 0.101385i | −0.585225 | − | 0.810871i | \(-0.698994\pi\) |
0.409622 | + | 0.912255i | \(0.365661\pi\) | |||||||
\(830\) | 4.37111 | − | 16.3132i | 0.151724 | − | 0.566240i | ||||
\(831\) | −17.3561 | + | 30.2735i | −0.602077 | + | 1.05018i | ||||
\(832\) | 17.2685 | − | 10.6344i | 0.598678 | − | 0.368680i | ||||
\(833\) | 10.8495i | 0.375912i | ||||||||
\(834\) | 25.0929 | + | 24.9410i | 0.868896 | + | 0.863637i | ||||
\(835\) | −12.7122 | − | 22.0181i | −0.439923 | − | 0.761969i | ||||
\(836\) | −0.451886 | + | 0.782689i | −0.0156288 | + | 0.0270699i | ||||
\(837\) | −24.7134 | + | 25.1676i | −0.854219 | + | 0.869918i | ||||
\(838\) | −18.3102 | + | 4.90621i | −0.632516 | + | 0.169482i | ||||
\(839\) | −25.9687 | + | 6.95830i | −0.896540 | + | 0.240227i | −0.677530 | − | 0.735495i | \(-0.736950\pi\) |
−0.219010 | + | 0.975723i | \(0.570283\pi\) | |||||||
\(840\) | 18.8923 | − | 5.12369i | 0.651847 | − | 0.176784i | ||||
\(841\) | 9.59941 | − | 16.6267i | 0.331014 | − | 0.573333i | ||||
\(842\) | 10.4910 | + | 18.1710i | 0.361545 | + | 0.626214i | ||||
\(843\) | −18.3704 | + | 18.4822i | −0.632710 | + | 0.636562i | ||||
\(844\) | 5.14661i | 0.177154i | ||||||||
\(845\) | −4.16172 | − | 12.6197i | −0.143167 | − | 0.434132i | ||||
\(846\) | 11.4759 | + | 19.6011i | 0.394549 | + | 0.673899i | ||||
\(847\) | 1.16889 | − | 4.36236i | 0.0401636 | − | 0.149892i | ||||
\(848\) | −1.61484 | + | 0.932328i | −0.0554538 | + | 0.0320163i | ||||
\(849\) | −1.41143 | − | 2.42762i | −0.0484402 | − | 0.0833158i | ||||
\(850\) | −3.53027 | − | 3.53027i | −0.121087 | − | 0.121087i | ||||
\(851\) | −0.825404 | − | 3.08045i | −0.0282945 | − | 0.105596i | ||||
\(852\) | −5.65215 | − | 1.49612i | −0.193640 | − | 0.0512562i | ||||
\(853\) | −24.1938 | + | 24.1938i | −0.828378 | + | 0.828378i | −0.987292 | − | 0.158914i | \(-0.949201\pi\) |
0.158914 | + | 0.987292i | \(0.449201\pi\) | |||||||
\(854\) | 10.5533 | + | 6.09294i | 0.361126 | + | 0.208496i | ||||
\(855\) | 3.19388 | − | 5.61033i | 0.109228 | − | 0.191869i | ||||
\(856\) | −30.2860 | − | 8.11510i | −1.03515 | − | 0.277368i | ||||
\(857\) | 35.1936 | 1.20219 | 0.601095 | − | 0.799178i | \(-0.294731\pi\) | ||||
0.601095 | + | 0.799178i | \(0.294731\pi\) | |||||||
\(858\) | −0.305677 | − | 9.72878i | −0.0104356 | − | 0.332135i | ||||
\(859\) | −25.1566 | −0.858332 | −0.429166 | − | 0.903226i | \(-0.641192\pi\) | ||||
−0.429166 | + | 0.903226i | \(0.641192\pi\) | |||||||
\(860\) | 4.14657 | + | 1.11107i | 0.141397 | + | 0.0378872i | ||||
\(861\) | 63.3888 | − | 0.192392i | 2.16028 | − | 0.00655672i | ||||
\(862\) | −0.472135 | − | 0.272587i | −0.0160810 | − | 0.00928436i | ||||
\(863\) | 27.2191 | − | 27.2191i | 0.926548 | − | 0.926548i | −0.0709328 | − | 0.997481i | \(-0.522598\pi\) |
0.997481 | + | 0.0709328i | \(0.0225976\pi\) | |||||||
\(864\) | 11.9618 | − | 3.32219i | 0.406950 | − | 0.113023i | ||||
\(865\) | −1.14764 | − | 4.28306i | −0.0390210 | − | 0.145629i | ||||
\(866\) | 11.6962 | + | 11.6962i | 0.397452 | + | 0.397452i | ||||
\(867\) | −24.4731 | + | 14.2288i | −0.831149 | + | 0.483234i | ||||
\(868\) | 11.3978 | − | 6.58053i | 0.386867 | − | 0.223358i | ||||
\(869\) | −0.725512 | + | 2.70765i | −0.0246113 | + | 0.0918506i | ||||
\(870\) | −16.6200 | − | 9.52845i | −0.563472 | − | 0.323045i | ||||
\(871\) | 22.1314 | − | 6.60849i | 0.749895 | − | 0.223920i | ||||
\(872\) | 40.9634i | 1.38720i | ||||||||
\(873\) | −12.3248 | + | 3.38274i | −0.417132 | + | 0.114489i | ||||
\(874\) | −7.19721 | − | 12.4659i | −0.243449 | − | 0.421667i | ||||
\(875\) | 20.6702 | − | 35.8019i | 0.698781 | − | 1.21032i | ||||
\(876\) | 2.14667 | + | 7.91532i | 0.0725293 | + | 0.267434i | ||||
\(877\) | −0.898838 | + | 0.240843i | −0.0303516 | + | 0.00813269i | −0.273963 | − | 0.961740i | \(-0.588335\pi\) |
0.243611 | + | 0.969873i | \(0.421668\pi\) | |||||||
\(878\) | 19.8304 | − | 5.31354i | 0.669243 | − | 0.179323i | ||||
\(879\) | −9.13006 | − | 33.6648i | −0.307949 | − | 1.13549i | ||||
\(880\) | −2.38897 | + | 4.13782i | −0.0805321 | + | 0.139486i | ||||
\(881\) | −0.0815511 | − | 0.141251i | −0.00274753 | − | 0.00475885i | 0.864648 | − | 0.502378i | \(-0.167541\pi\) |
−0.867396 | + | 0.497619i | \(0.834208\pi\) | |||||||
\(882\) | −60.4061 | + | 16.5794i | −2.03398 | + | 0.558258i | ||||
\(883\) | 41.4147i | 1.39371i | 0.717210 | + | 0.696857i | \(0.245419\pi\) | ||||
−0.717210 | + | 0.696857i | \(0.754581\pi\) | |||||||
\(884\) | −1.10296 | − | 0.595731i | −0.0370967 | − | 0.0200366i | ||||
\(885\) | −14.4588 | − | 8.28938i | −0.486027 | − | 0.278644i | ||||
\(886\) | −9.40212 | + | 35.0892i | −0.315871 | + | 1.17884i | ||||
\(887\) | 22.2200 | − | 12.8287i | 0.746073 | − | 0.430746i | −0.0782002 | − | 0.996938i | \(-0.524917\pi\) |
0.824273 | + | 0.566192i | \(0.191584\pi\) | |||||||
\(888\) | 2.66489 | − | 1.54938i | 0.0894279 | − | 0.0519938i | ||||
\(889\) | −35.4859 | − | 35.4859i | −1.19016 | − | 1.19016i | ||||
\(890\) | 5.20998 | + | 19.4439i | 0.174639 | + | 0.651761i | ||||
\(891\) | −2.22366 | + | 8.72097i | −0.0744955 | + | 0.292164i | ||||
\(892\) | 5.06755 | − | 5.06755i | 0.169674 | − | 0.169674i | ||||
\(893\) | 8.85631 | + | 5.11319i | 0.296365 | + | 0.171106i | ||||
\(894\) | −36.1460 | + | 0.109708i | −1.20890 | + | 0.00366917i | ||||
\(895\) | −1.47523 | − | 0.395288i | −0.0493116 | − | 0.0132130i | ||||
\(896\) | 61.1736 | 2.04367 | ||||||||
\(897\) | 24.1440 | + | 12.9461i | 0.806144 | + | 0.432257i | ||||
\(898\) | 38.8267 | 1.29566 | ||||||||
\(899\) | 45.5216 | + | 12.1975i | 1.51823 | + | 0.406809i | ||||
\(900\) | 2.52008 | − | 4.42675i | 0.0840028 | − | 0.147558i | ||||
\(901\) | −0.279789 | − | 0.161536i | −0.00932113 | − | 0.00538156i | ||||
\(902\) | −8.93103 | + | 8.93103i | −0.297371 | + | 0.297371i | ||||
\(903\) | 73.9770 | + | 19.5816i | 2.46180 | + | 0.651636i | ||||
\(904\) | 2.95534 | + | 11.0295i | 0.0982930 | + | 0.366835i | ||||
\(905\) | −14.8140 | − | 14.8140i | −0.492435 | − | 0.492435i | ||||
\(906\) | −16.5786 | − | 28.5147i | −0.550786 | − | 0.947338i | ||||
\(907\) | 36.9696 | − | 21.3444i | 1.22756 | − | 0.708730i | 0.261039 | − | 0.965328i | \(-0.415935\pi\) |
0.966518 | + | 0.256598i | \(0.0826017\pi\) | |||||||
\(908\) | −0.307408 | + | 1.14726i | −0.0102017 | + | 0.0380732i | ||||
\(909\) | 13.5089 | + | 23.0736i | 0.448063 | + | 0.765302i | ||||
\(910\) | 6.00081 | − | 25.2390i | 0.198925 | − | 0.836666i | ||||
\(911\) | 25.3129i | 0.838653i | 0.907836 | + | 0.419326i | \(0.137734\pi\) | ||||
−0.907836 | + | 0.419326i | \(0.862266\pi\) | |||||||
\(912\) | 12.0155 | − | 12.0886i | 0.397872 | − | 0.400295i | ||||
\(913\) | 5.30031 | + | 9.18041i | 0.175415 | + | 0.303827i | ||||
\(914\) | −16.7626 | + | 29.0338i | −0.554459 | + | 0.960351i | ||||
\(915\) | 2.95810 | − | 0.802250i | 0.0977917 | − | 0.0265216i | ||||
\(916\) | −7.07983 | + | 1.89703i | −0.233924 | + | 0.0626798i | ||||
\(917\) | 25.3914 | − | 6.80361i | 0.838499 | − | 0.224675i | ||||
\(918\) | 4.67998 | + | 4.59552i | 0.154462 | + | 0.151675i | ||||
\(919\) | 4.22673 | − | 7.32090i | 0.139427 | − | 0.241494i | −0.787853 | − | 0.615863i | \(-0.788807\pi\) |
0.927280 | + | 0.374369i | \(0.122141\pi\) | |||||||
\(920\) | −5.48885 | − | 9.50697i | −0.180962 | − | 0.313435i | ||||
\(921\) | 14.5778 | + | 14.4896i | 0.480356 | + | 0.477449i | ||||
\(922\) | − | 42.5353i | − | 1.40083i | ||||||
\(923\) | 19.4706 | − | 20.6081i | 0.640881 | − | 0.678323i | ||||
\(924\) | 1.67022 | − | 2.91330i | 0.0549463 | − | 0.0958404i | ||||
\(925\) | 0.744181 | − | 2.77732i | 0.0244685 | − | 0.0913177i | ||||
\(926\) | −18.1219 | + | 10.4627i | −0.595521 | + | 0.343824i | ||||
\(927\) | −0.155442 | − | 25.6070i | −0.00510538 | − | 0.841044i | ||||
\(928\) | −11.7288 | − | 11.7288i | −0.385018 | − | 0.385018i | ||||
\(929\) | 4.77136 | + | 17.8070i | 0.156543 | + | 0.584228i | 0.998968 | + | 0.0454139i | \(0.0144607\pi\) |
−0.842425 | + | 0.538814i | \(0.818873\pi\) | |||||||
\(930\) | 4.79322 | − | 18.1082i | 0.157176 | − | 0.593791i | ||||
\(931\) | −19.9424 | + | 19.9424i | −0.653585 | + | 0.653585i | ||||
\(932\) | −10.2196 | − | 5.90028i | −0.334754 | − | 0.193270i | ||||
\(933\) | −0.0207279 | − | 6.82934i | −0.000678600 | − | 0.223583i | ||||
\(934\) | −48.5861 | − | 13.0186i | −1.58979 | − | 0.425982i | ||||
\(935\) | −0.827832 | −0.0270730 | ||||||||
\(936\) | −5.96875 | + | 25.7991i | −0.195095 | + | 0.843271i | ||||
\(937\) | −49.9817 | −1.63283 | −0.816415 | − | 0.577465i | \(-0.804042\pi\) | ||||
−0.816415 | + | 0.577465i | \(0.804042\pi\) | |||||||
\(938\) | 43.5558 | + | 11.6707i | 1.42215 | + | 0.381063i | ||||
\(939\) | −0.0248396 | − | 8.18405i | −0.000810609 | − | 0.267076i | ||||
\(940\) | −1.84601 | − | 1.06579i | −0.0602100 | − | 0.0347623i | ||||
\(941\) | 19.6154 | − | 19.6154i | 0.639444 | − | 0.639444i | −0.310974 | − | 0.950418i | \(-0.600655\pi\) |
0.950418 | + | 0.310974i | \(0.100655\pi\) | |||||||
\(942\) | 3.48379 | − | 13.1614i | 0.113508 | − | 0.428820i | ||||
\(943\) | −9.20079 | − | 34.3378i | −0.299619 | − | 1.11819i | ||||
\(944\) | −31.1143 | − | 31.1143i | −1.01268 | − | 1.01268i | ||||
\(945\) | −11.8041 | + | 20.8821i | −0.383986 | + | 0.679294i | ||||
\(946\) | −13.2049 | + | 7.62384i | −0.429328 | + | 0.247873i | ||||
\(947\) | 10.0243 | − | 37.4113i | 0.325747 | − | 1.21570i | −0.587812 | − | 0.808998i | \(-0.700010\pi\) |
0.913559 | − | 0.406707i | \(-0.133323\pi\) | |||||||
\(948\) | −1.03668 | + | 1.80824i | −0.0336698 | + | 0.0587288i | ||||
\(949\) | −38.6895 | − | 9.19877i | −1.25591 | − | 0.298605i | ||||
\(950\) | − | 12.9779i | − | 0.421060i | ||||||
\(951\) | −15.5096 | − | 15.4158i | −0.502935 | − | 0.499891i | ||||
\(952\) | 4.47713 | + | 7.75462i | 0.145105 | + | 0.251329i | ||||
\(953\) | −7.57483 | + | 13.1200i | −0.245373 | + | 0.424998i | −0.962236 | − | 0.272215i | \(-0.912244\pi\) |
0.716864 | + | 0.697213i | \(0.245577\pi\) | |||||||
\(954\) | 0.471824 | − | 1.80462i | 0.0152759 | − | 0.0584267i | ||||
\(955\) | 19.5572 | − | 5.24032i | 0.632855 | − | 0.169573i | ||||
\(956\) | −0.318894 | + | 0.0854475i | −0.0103138 | + | 0.00276357i | ||||
\(957\) | 11.6056 | − | 3.14749i | 0.375155 | − | 0.101744i | ||||
\(958\) | 4.09456 | − | 7.09199i | 0.132289 | − | 0.229132i | ||||
\(959\) | 34.7000 | + | 60.1021i | 1.12052 | + | 1.94080i | ||||
\(960\) | 7.02022 | − | 7.06296i | 0.226577 | − | 0.227956i | ||||
\(961\) | 15.0799i | 0.486447i | ||||||||
\(962\) | −0.115904 | − | 4.08371i | −0.00373689 | − | 0.131664i | ||||
\(963\) | 33.1575 | − | 19.4128i | 1.06849 | − | 0.625569i | ||||
\(964\) | −1.75292 | + | 6.54198i | −0.0564577 | + | 0.210703i | ||||
\(965\) | 15.5841 | − | 8.99751i | 0.501672 | − | 0.289640i | ||||
\(966\) | 26.8829 | + | 46.2379i | 0.864944 | + | 1.48768i | ||||
\(967\) | 12.5415 | + | 12.5415i | 0.403306 | + | 0.403306i | 0.879396 | − | 0.476090i | \(-0.157946\pi\) |
−0.476090 | + | 0.879396i | \(0.657946\pi\) | |||||||
\(968\) | −0.633623 | − | 2.36471i | −0.0203654 | − | 0.0760047i | ||||
\(969\) | 2.85479 | + | 0.755660i | 0.0917092 | + | 0.0242753i | ||||
\(970\) | 4.79932 | − | 4.79932i | 0.154097 | − | 0.154097i | ||||
\(971\) | −6.82710 | − | 3.94163i | −0.219092 | − | 0.126493i | 0.386438 | − | 0.922316i | \(-0.373705\pi\) |
−0.605530 | + | 0.795823i | \(0.707039\pi\) | |||||||
\(972\) | −3.25770 | + | 5.84561i | −0.104491 | + | 0.187498i | ||||
\(973\) | −57.1705 | − | 15.3188i | −1.83280 | − | 0.491098i | ||||
\(974\) | −19.1653 | −0.614096 | ||||||||
\(975\) | 13.0157 | + | 20.9924i | 0.416835 | + | 0.672296i | ||||
\(976\) | 8.09200 | 0.259018 | ||||||||
\(977\) | −46.0147 | − | 12.3296i | −1.47214 | − | 0.394459i | −0.568476 | − | 0.822700i | \(-0.692467\pi\) |
−0.903665 | + | 0.428241i | \(0.859133\pi\) | |||||||
\(978\) | 18.6588 | − | 0.0566316i | 0.596642 | − | 0.00181088i | ||||
\(979\) | −10.9422 | − | 6.31750i | −0.349715 | − | 0.201908i | ||||
\(980\) | 4.15678 | − | 4.15678i | 0.132784 | − | 0.132784i | ||||
\(981\) | −35.7098 | − | 35.2789i | −1.14013 | − | 1.12637i | ||||
\(982\) | 11.5627 | + | 43.1525i | 0.368980 | + | 1.37705i | ||||
\(983\) | 2.90704 | + | 2.90704i | 0.0927203 | + | 0.0927203i | 0.751946 | − | 0.659225i | \(-0.229116\pi\) |
−0.659225 | + | 0.751946i | \(0.729116\pi\) | |||||||
\(984\) | 29.7056 | − | 17.2710i | 0.946979 | − | 0.550578i | ||||
\(985\) | −13.3171 | + | 7.68861i | −0.424317 | + | 0.244979i | ||||
\(986\) | 2.26815 | − | 8.46487i | 0.0722328 | − | 0.269576i | ||||
\(987\) | −32.9646 | − | 18.8990i | −1.04928 | − | 0.601560i | ||||
\(988\) | −0.932345 | − | 3.12237i | −0.0296618 | − | 0.0993357i | ||||
\(989\) | − | 42.9157i | − | 1.36464i | ||||||
\(990\) | −1.26504 | − | 4.60908i | −0.0402055 | − | 0.146486i | ||||
\(991\) | −3.51621 | − | 6.09025i | −0.111696 | − | 0.193463i | 0.804758 | − | 0.593603i | \(-0.202295\pi\) |
−0.916454 | + | 0.400140i | \(0.868962\pi\) | |||||||
\(992\) | 8.10918 | − | 14.0455i | 0.257467 | − | 0.445946i | ||||
\(993\) | −0.651721 | − | 2.40306i | −0.0206818 | − | 0.0762588i | ||||
\(994\) | 53.4642 | − | 14.3257i | 1.69578 | − | 0.454383i | ||||
\(995\) | −17.2576 | + | 4.62415i | −0.547102 | + | 0.146596i | ||||
\(996\) | 2.06317 | + | 7.60743i | 0.0653741 | + | 0.241051i | ||||
\(997\) | 6.46839 | − | 11.2036i | 0.204856 | − | 0.354821i | −0.745231 | − | 0.666807i | \(-0.767661\pi\) |
0.950087 | + | 0.311985i | \(0.100994\pi\) | |||||||
\(998\) | 17.1836 | + | 29.7629i | 0.543938 | + | 0.942128i | ||||
\(999\) | −0.944415 | + | 3.65749i | −0.0298800 | + | 0.115718i |
(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 | 429.2.be.a.89.13 | ✓ | 184 | |
3.2 | odd | 2 | inner | 429.2.be.a.89.34 | yes | 184 | |
13.6 | odd | 12 | inner | 429.2.be.a.188.34 | yes | 184 | |
39.32 | even | 12 | inner | 429.2.be.a.188.13 | yes | 184 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.be.a.89.13 | ✓ | 184 | 1.1 | even | 1 | trivial | |
429.2.be.a.89.34 | yes | 184 | 3.2 | odd | 2 | inner | |
429.2.be.a.188.13 | yes | 184 | 39.32 | even | 12 | inner | |
429.2.be.a.188.34 | yes | 184 | 13.6 | odd | 12 | inner |