Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 493.12 | ||
Character | \(\chi\) | \(=\) | 690.493 |
Dual form | 690.2.w.a.7.12 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(e\left(\frac{3}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.997452 | + | 0.0713392i | 0.705305 | + | 0.0504444i | ||||
\(3\) | −0.212565 | − | 0.977147i | −0.122725 | − | 0.564156i | ||||
\(4\) | 0.989821 | + | 0.142315i | 0.494911 | + | 0.0711574i | ||||
\(5\) | 1.68213 | − | 1.47324i | 0.752271 | − | 0.658853i | ||||
\(6\) | −0.142315 | − | 0.989821i | −0.0580998 | − | 0.404093i | ||||
\(7\) | −0.663233 | − | 1.21462i | −0.250678 | − | 0.459083i | 0.721792 | − | 0.692110i | \(-0.243319\pi\) |
−0.972470 | + | 0.233027i | \(0.925137\pi\) | |||||||
\(8\) | 0.977147 | + | 0.212565i | 0.345474 | + | 0.0751532i | ||||
\(9\) | −0.909632 | + | 0.415415i | −0.303211 | + | 0.138472i | ||||
\(10\) | 1.78294 | − | 1.34949i | 0.563816 | − | 0.426745i | ||||
\(11\) | 3.43475 | + | 2.97623i | 1.03562 | + | 0.897366i | 0.994805 | − | 0.101801i | \(-0.0324604\pi\) |
0.0408110 | + | 0.999167i | \(0.487006\pi\) | |||||||
\(12\) | −0.0713392 | − | 0.997452i | −0.0205938 | − | 0.287940i | ||||
\(13\) | −0.104837 | − | 0.0572451i | −0.0290765 | − | 0.0158769i | 0.464645 | − | 0.885497i | \(-0.346182\pi\) |
−0.493721 | + | 0.869620i | \(0.664364\pi\) | |||||||
\(14\) | −0.574893 | − | 1.25884i | −0.153647 | − | 0.336439i | ||||
\(15\) | −1.79714 | − | 1.33053i | −0.464018 | − | 0.343541i | ||||
\(16\) | 0.959493 | + | 0.281733i | 0.239873 | + | 0.0704331i | ||||
\(17\) | 1.93410 | − | 2.58366i | 0.469089 | − | 0.626630i | −0.502137 | − | 0.864788i | \(-0.667453\pi\) |
0.971226 | + | 0.238158i | \(0.0765437\pi\) | |||||||
\(18\) | −0.936950 | + | 0.349464i | −0.220841 | + | 0.0823695i | ||||
\(19\) | 0.165605 | − | 1.15181i | 0.0379924 | − | 0.264243i | −0.961968 | − | 0.273163i | \(-0.911930\pi\) |
0.999960 | + | 0.00891976i | \(0.00283929\pi\) | |||||||
\(20\) | 1.87467 | − | 1.21885i | 0.419190 | − | 0.272544i | ||||
\(21\) | −1.04588 | + | 0.906262i | −0.228230 | + | 0.197763i | ||||
\(22\) | 3.21368 | + | 3.21368i | 0.685158 | + | 0.685158i | ||||
\(23\) | −1.83219 | − | 4.43205i | −0.382038 | − | 0.924146i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | 0.659124 | − | 4.95637i | 0.131825 | − | 0.991273i | ||||
\(26\) | −0.100486 | − | 0.0645782i | −0.0197069 | − | 0.0126648i | ||||
\(27\) | 0.599278 | + | 0.800541i | 0.115331 | + | 0.154064i | ||||
\(28\) | −0.483624 | − | 1.29664i | −0.0913963 | − | 0.245043i | ||||
\(29\) | −2.45088 | + | 0.352383i | −0.455116 | + | 0.0654358i | −0.366061 | − | 0.930591i | \(-0.619294\pi\) |
−0.0890552 | + | 0.996027i | \(0.528385\pi\) | |||||||
\(30\) | −1.69764 | − | 1.45534i | −0.309945 | − | 0.265708i | ||||
\(31\) | −5.49019 | + | 3.52833i | −0.986067 | + | 0.633707i | −0.931093 | − | 0.364781i | \(-0.881144\pi\) |
−0.0549739 | + | 0.998488i | \(0.517508\pi\) | |||||||
\(32\) | 0.936950 | + | 0.349464i | 0.165631 | + | 0.0617771i | ||||
\(33\) | 2.17810 | − | 3.98890i | 0.379159 | − | 0.694378i | ||||
\(34\) | 2.11349 | − | 2.43910i | 0.362461 | − | 0.418302i | ||||
\(35\) | −2.90507 | − | 1.06605i | −0.491047 | − | 0.180195i | ||||
\(36\) | −0.959493 | + | 0.281733i | −0.159915 | + | 0.0469554i | ||||
\(37\) | 0.269191 | − | 0.721730i | 0.0442548 | − | 0.118652i | −0.912942 | − | 0.408089i | \(-0.866195\pi\) |
0.957197 | + | 0.289437i | \(0.0934681\pi\) | |||||||
\(38\) | 0.247352 | − | 1.13706i | 0.0401258 | − | 0.184456i | ||||
\(39\) | −0.0336523 | + | 0.114609i | −0.00538868 | + | 0.0183521i | ||||
\(40\) | 1.95685 | − | 1.08201i | 0.309405 | − | 0.171081i | ||||
\(41\) | −1.09634 | + | 2.40066i | −0.171220 | + | 0.374920i | −0.975716 | − | 0.219038i | \(-0.929708\pi\) |
0.804496 | + | 0.593958i | \(0.202435\pi\) | |||||||
\(42\) | −1.10787 | + | 0.829340i | −0.170948 | + | 0.127970i | ||||
\(43\) | 4.74127 | − | 1.03140i | 0.723037 | − | 0.157287i | 0.164036 | − | 0.986454i | \(-0.447549\pi\) |
0.559000 | + | 0.829167i | \(0.311185\pi\) | |||||||
\(44\) | 2.97623 | + | 3.43475i | 0.448683 | + | 0.517808i | ||||
\(45\) | −0.918113 | + | 2.03889i | −0.136864 | + | 0.303940i | ||||
\(46\) | −1.51134 | − | 4.55147i | −0.222836 | − | 0.671077i | ||||
\(47\) | −3.35604 | + | 3.35604i | −0.489529 | + | 0.489529i | −0.908157 | − | 0.418629i | \(-0.862511\pi\) |
0.418629 | + | 0.908157i | \(0.362511\pi\) | |||||||
\(48\) | 0.0713392 | − | 0.997452i | 0.0102969 | − | 0.143970i | ||||
\(49\) | 2.74906 | − | 4.27762i | 0.392723 | − | 0.611089i | ||||
\(50\) | 1.01103 | − | 4.89672i | 0.142981 | − | 0.692500i | ||||
\(51\) | −2.93574 | − | 1.34071i | −0.411086 | − | 0.187737i | ||||
\(52\) | −0.0956227 | − | 0.0715823i | −0.0132605 | − | 0.00992667i | ||||
\(53\) | −4.35555 | + | 2.37831i | −0.598281 | + | 0.326686i | −0.749694 | − | 0.661784i | \(-0.769799\pi\) |
0.151413 | + | 0.988471i | \(0.451618\pi\) | |||||||
\(54\) | 0.540641 | + | 0.841254i | 0.0735719 | + | 0.114480i | ||||
\(55\) | 10.1624 | − | 0.0538109i | 1.37030 | − | 0.00725586i | ||||
\(56\) | −0.389890 | − | 1.32784i | −0.0521012 | − | 0.177440i | ||||
\(57\) | −1.16069 | + | 0.0830141i | −0.153737 | + | 0.0109955i | ||||
\(58\) | −2.46977 | + | 0.176641i | −0.324297 | + | 0.0231942i | ||||
\(59\) | 0.267799 | + | 0.912041i | 0.0348645 | + | 0.118738i | 0.975087 | − | 0.221824i | \(-0.0712010\pi\) |
−0.940222 | + | 0.340562i | \(0.889383\pi\) | |||||||
\(60\) | −1.58949 | − | 1.57274i | −0.205202 | − | 0.203040i | ||||
\(61\) | 6.89732 | + | 10.7324i | 0.883111 | + | 1.37415i | 0.926980 | + | 0.375110i | \(0.122395\pi\) |
−0.0438696 | + | 0.999037i | \(0.513969\pi\) | |||||||
\(62\) | −5.72791 | + | 3.12768i | −0.727445 | + | 0.397215i | ||||
\(63\) | 1.10787 | + | 0.829340i | 0.139578 | + | 0.104487i | ||||
\(64\) | 0.909632 | + | 0.415415i | 0.113704 | + | 0.0519269i | ||||
\(65\) | −0.260685 | + | 0.0581558i | −0.0323340 | + | 0.00721334i | ||||
\(66\) | 2.45712 | − | 3.82335i | 0.302450 | − | 0.470622i | ||||
\(67\) | −1.03147 | + | 14.4218i | −0.126014 | + | 1.76191i | 0.404786 | + | 0.914412i | \(0.367346\pi\) |
−0.530800 | + | 0.847497i | \(0.678108\pi\) | |||||||
\(68\) | 2.28211 | − | 2.28211i | 0.276747 | − | 0.276747i | ||||
\(69\) | −3.94130 | + | 2.73242i | −0.474477 | + | 0.328945i | ||||
\(70\) | −2.82162 | − | 1.27058i | −0.337248 | − | 0.151863i | ||||
\(71\) | 5.17109 | + | 5.96775i | 0.613695 | + | 0.708242i | 0.974497 | − | 0.224401i | \(-0.0720424\pi\) |
−0.360802 | + | 0.932642i | \(0.617497\pi\) | |||||||
\(72\) | −0.977147 | + | 0.212565i | −0.115158 | + | 0.0250511i | ||||
\(73\) | 8.91923 | − | 6.67685i | 1.04392 | − | 0.781467i | 0.0675786 | − | 0.997714i | \(-0.478473\pi\) |
0.976339 | + | 0.216247i | \(0.0693818\pi\) | |||||||
\(74\) | 0.319993 | − | 0.700687i | 0.0371984 | − | 0.0814532i | ||||
\(75\) | −4.98320 | + | 0.409491i | −0.575411 | + | 0.0472839i | ||||
\(76\) | 0.327839 | − | 1.11652i | 0.0376057 | − | 0.128073i | ||||
\(77\) | 1.33695 | − | 6.14585i | 0.152359 | − | 0.700384i | ||||
\(78\) | −0.0417427 | + | 0.111916i | −0.00472642 | + | 0.0126720i | ||||
\(79\) | −11.2840 | + | 3.31328i | −1.26955 | + | 0.372773i | −0.846040 | − | 0.533120i | \(-0.821019\pi\) |
−0.423507 | + | 0.905893i | \(0.639201\pi\) | |||||||
\(80\) | 2.02905 | − | 0.939653i | 0.226855 | − | 0.105056i | ||||
\(81\) | 0.654861 | − | 0.755750i | 0.0727623 | − | 0.0839722i | ||||
\(82\) | −1.26481 | + | 2.31633i | −0.139675 | + | 0.255796i | ||||
\(83\) | 1.37100 | + | 0.511355i | 0.150486 | + | 0.0561285i | 0.423579 | − | 0.905859i | \(-0.360774\pi\) |
−0.273092 | + | 0.961988i | \(0.588046\pi\) | |||||||
\(84\) | −1.16421 | + | 0.748193i | −0.127026 | + | 0.0816345i | ||||
\(85\) | −0.552939 | − | 7.19545i | −0.0599747 | − | 0.780456i | ||||
\(86\) | 4.80277 | − | 0.690534i | 0.517896 | − | 0.0744621i | ||||
\(87\) | 0.865301 | + | 2.31996i | 0.0927700 | + | 0.248726i | ||||
\(88\) | 2.72361 | + | 3.63832i | 0.290338 | + | 0.387846i | ||||
\(89\) | −7.15307 | − | 4.59700i | −0.758224 | − | 0.487281i | 0.103518 | − | 0.994628i | \(-0.466990\pi\) |
−0.861742 | + | 0.507347i | \(0.830626\pi\) | |||||||
\(90\) | −1.06123 | + | 1.96820i | −0.111863 | + | 0.207466i | ||||
\(91\) | 0.165304i | 0.0173285i | ||||||||
\(92\) | −1.18280 | − | 4.64769i | −0.123315 | − | 0.484555i | ||||
\(93\) | 4.61472 | + | 4.61472i | 0.478524 | + | 0.478524i | ||||
\(94\) | −3.58691 | + | 3.10807i | −0.369961 | + | 0.320573i | ||||
\(95\) | −1.41832 | − | 2.18147i | −0.145517 | − | 0.223814i | ||||
\(96\) | 0.142315 | − | 0.989821i | 0.0145249 | − | 0.101023i | ||||
\(97\) | 13.1626 | − | 4.90938i | 1.33645 | − | 0.498472i | 0.423265 | − | 0.906006i | \(-0.360884\pi\) |
0.913190 | + | 0.407534i | \(0.133611\pi\) | |||||||
\(98\) | 3.04722 | − | 4.07061i | 0.307816 | − | 0.411194i | ||||
\(99\) | −4.36073 | − | 1.28042i | −0.438270 | − | 0.128688i | ||||
\(100\) | 1.35778 | − | 4.81211i | 0.135778 | − | 0.481211i | ||||
\(101\) | 1.34406 | + | 2.94307i | 0.133738 | + | 0.292846i | 0.964639 | − | 0.263574i | \(-0.0849015\pi\) |
−0.830901 | + | 0.556421i | \(0.812174\pi\) | |||||||
\(102\) | −2.83261 | − | 1.54672i | −0.280471 | − | 0.153149i | ||||
\(103\) | 0.896073 | + | 12.5287i | 0.0882927 | + | 1.23449i | 0.827675 | + | 0.561208i | \(0.189663\pi\) |
−0.739382 | + | 0.673286i | \(0.764882\pi\) | |||||||
\(104\) | −0.0902725 | − | 0.0782215i | −0.00885194 | − | 0.00767025i | ||||
\(105\) | −0.424168 | + | 3.06529i | −0.0413945 | + | 0.299141i | ||||
\(106\) | −4.51412 | + | 2.06153i | −0.438450 | + | 0.200234i | ||||
\(107\) | −19.7520 | − | 4.29679i | −1.90950 | − | 0.415386i | −0.909501 | − | 0.415703i | \(-0.863536\pi\) |
−1.00000 | 0.000316212i | \(0.999899\pi\) | ||||||||
\(108\) | 0.479249 | + | 0.877679i | 0.0461158 | + | 0.0844547i | ||||
\(109\) | 0.692730 | + | 4.81805i | 0.0663515 | + | 0.461485i | 0.995727 | + | 0.0923486i | \(0.0294374\pi\) |
−0.929375 | + | 0.369137i | \(0.879653\pi\) | |||||||
\(110\) | 10.1403 | + | 0.671303i | 0.966843 | + | 0.0640062i | ||||
\(111\) | −0.762457 | − | 0.109625i | −0.0723692 | − | 0.0104051i | ||||
\(112\) | −0.294169 | − | 1.35227i | −0.0277964 | − | 0.127778i | ||||
\(113\) | −7.05537 | − | 0.504610i | −0.663714 | − | 0.0474697i | −0.264582 | − | 0.964363i | \(-0.585234\pi\) |
−0.399132 | + | 0.916894i | \(0.630688\pi\) | |||||||
\(114\) | −1.16365 | −0.108986 | ||||||||
\(115\) | −9.61146 | − | 4.75603i | −0.896274 | − | 0.443502i | ||||
\(116\) | −2.47608 | −0.229898 | ||||||||
\(117\) | 0.119143 | + | 0.00852129i | 0.0110148 | + | 0.000787794i | ||||
\(118\) | 0.202053 | + | 0.928822i | 0.0186005 | + | 0.0855050i | ||||
\(119\) | −4.42093 | − | 0.635633i | −0.405266 | − | 0.0582684i | ||||
\(120\) | −1.47324 | − | 1.68213i | −0.134488 | − | 0.153557i | ||||
\(121\) | 1.37411 | + | 9.55715i | 0.124919 | + | 0.868832i | ||||
\(122\) | 6.11410 | + | 11.1971i | 0.553545 | + | 1.01374i | ||||
\(123\) | 2.57884 | + | 0.560993i | 0.232526 | + | 0.0505830i | ||||
\(124\) | −5.93644 | + | 2.71108i | −0.533108 | + | 0.243462i | ||||
\(125\) | −6.19319 | − | 9.30830i | −0.553935 | − | 0.832560i | ||||
\(126\) | 1.04588 | + | 0.906262i | 0.0931746 | + | 0.0807362i | ||||
\(127\) | 1.15751 | + | 16.1841i | 0.102712 | + | 1.43610i | 0.743679 | + | 0.668537i | \(0.233079\pi\) |
−0.640967 | + | 0.767568i | \(0.721466\pi\) | |||||||
\(128\) | 0.877679 | + | 0.479249i | 0.0775766 | + | 0.0423600i | ||||
\(129\) | −2.01566 | − | 4.41367i | −0.177469 | − | 0.388602i | ||||
\(130\) | −0.264169 | + | 0.0394106i | −0.0231692 | + | 0.00345654i | ||||
\(131\) | 11.2349 | + | 3.29887i | 0.981599 | + | 0.288223i | 0.732884 | − | 0.680353i | \(-0.238174\pi\) |
0.248715 | + | 0.968577i | \(0.419992\pi\) | |||||||
\(132\) | 2.72361 | − | 3.63832i | 0.237060 | − | 0.316675i | ||||
\(133\) | −1.50885 | + | 0.562770i | −0.130833 | + | 0.0487984i | ||||
\(134\) | −2.05769 | + | 14.3115i | −0.177757 | + | 1.23633i | ||||
\(135\) | 2.18745 | + | 0.463734i | 0.188266 | + | 0.0399119i | ||||
\(136\) | 2.43910 | − | 2.11349i | 0.209151 | − | 0.181230i | ||||
\(137\) | −3.02677 | − | 3.02677i | −0.258595 | − | 0.258595i | 0.565888 | − | 0.824482i | \(-0.308534\pi\) |
−0.824482 | + | 0.565888i | \(0.808534\pi\) | |||||||
\(138\) | −4.12619 | + | 2.44429i | −0.351245 | + | 0.208072i | ||||
\(139\) | 20.0843i | 1.70353i | 0.523926 | + | 0.851764i | \(0.324467\pi\) | ||||
−0.523926 | + | 0.851764i | \(0.675533\pi\) | |||||||
\(140\) | −2.72379 | − | 1.46863i | −0.230202 | − | 0.124122i | ||||
\(141\) | 3.99272 | + | 2.56597i | 0.336248 | + | 0.216093i | ||||
\(142\) | 4.73218 | + | 6.32145i | 0.397115 | + | 0.530484i | ||||
\(143\) | −0.189713 | − | 0.508640i | −0.0158646 | − | 0.0425346i | ||||
\(144\) | −0.989821 | + | 0.142315i | −0.0824851 | + | 0.0118596i | ||||
\(145\) | −3.60355 | + | 4.20348i | −0.299258 | + | 0.349080i | ||||
\(146\) | 9.37283 | − | 6.02355i | 0.775701 | − | 0.498513i | ||||
\(147\) | −4.76422 | − | 1.77696i | −0.392946 | − | 0.146561i | ||||
\(148\) | 0.369164 | − | 0.676074i | 0.0303451 | − | 0.0555729i | ||||
\(149\) | −11.4473 | + | 13.2109i | −0.937799 | + | 1.08228i | 0.0586669 | + | 0.998278i | \(0.481315\pi\) |
−0.996466 | + | 0.0840000i | \(0.973230\pi\) | |||||||
\(150\) | −4.99972 | + | 0.0529496i | −0.408225 | + | 0.00432331i | ||||
\(151\) | −0.312870 | + | 0.0918669i | −0.0254610 | + | 0.00747602i | −0.294438 | − | 0.955671i | \(-0.595133\pi\) |
0.268977 | + | 0.963147i | \(0.413314\pi\) | |||||||
\(152\) | 0.406655 | − | 1.09028i | 0.0329841 | − | 0.0884338i | ||||
\(153\) | −0.686031 | + | 3.15364i | −0.0554624 | + | 0.254956i | ||||
\(154\) | 1.77198 | − | 6.03481i | 0.142790 | − | 0.486299i | ||||
\(155\) | −4.03713 | + | 14.0235i | −0.324270 | + | 1.12639i | ||||
\(156\) | −0.0496203 | + | 0.108653i | −0.00397281 | + | 0.00869923i | ||||
\(157\) | 12.9246 | − | 9.67521i | 1.03149 | − | 0.772166i | 0.0574081 | − | 0.998351i | \(-0.481716\pi\) |
0.974084 | + | 0.226185i | \(0.0726255\pi\) | |||||||
\(158\) | −11.4916 | + | 2.49984i | −0.914222 | + | 0.198877i | ||||
\(159\) | 3.24980 | + | 3.75047i | 0.257726 | + | 0.297432i | ||||
\(160\) | 2.09092 | − | 0.792508i | 0.165301 | − | 0.0626533i | ||||
\(161\) | −4.16809 | + | 5.16490i | −0.328491 | + | 0.407051i | ||||
\(162\) | 0.707107 | − | 0.707107i | 0.0555556 | − | 0.0555556i | ||||
\(163\) | 0.118128 | − | 1.65165i | 0.00925252 | − | 0.129367i | −0.990726 | − | 0.135873i | \(-0.956616\pi\) |
0.999979 | + | 0.00650542i | \(0.00207075\pi\) | |||||||
\(164\) | −1.42683 | + | 2.22020i | −0.111417 | + | 0.173368i | ||||
\(165\) | −2.21275 | − | 9.91871i | −0.172263 | − | 0.772171i | ||||
\(166\) | 1.33102 | + | 0.607858i | 0.103307 | + | 0.0471789i | ||||
\(167\) | 1.87712 | + | 1.40520i | 0.145256 | + | 0.108737i | 0.669434 | − | 0.742871i | \(-0.266537\pi\) |
−0.524178 | + | 0.851609i | \(0.675627\pi\) | |||||||
\(168\) | −1.21462 | + | 0.663233i | −0.0937100 | + | 0.0511695i | ||||
\(169\) | −7.02062 | − | 10.9243i | −0.540047 | − | 0.840330i | ||||
\(170\) | −0.0382125 | − | 7.21657i | −0.00293076 | − | 0.553485i | ||||
\(171\) | 0.327839 | + | 1.11652i | 0.0250705 | + | 0.0853822i | ||||
\(172\) | 4.83979 | − | 0.346149i | 0.369031 | − | 0.0263936i | ||||
\(173\) | 2.63836 | − | 0.188699i | 0.200591 | − | 0.0143465i | 0.0293178 | − | 0.999570i | \(-0.490667\pi\) |
0.171273 | + | 0.985224i | \(0.445212\pi\) | |||||||
\(174\) | 0.697592 | + | 2.37578i | 0.0528843 | + | 0.180107i | ||||
\(175\) | −6.45725 | + | 2.48664i | −0.488122 | + | 0.187972i | ||||
\(176\) | 2.45712 | + | 3.82335i | 0.185212 | + | 0.288196i | ||||
\(177\) | 0.834273 | − | 0.455548i | 0.0627078 | − | 0.0342411i | ||||
\(178\) | −6.80690 | − | 5.09558i | −0.510199 | − | 0.381930i | ||||
\(179\) | −14.9223 | − | 6.81479i | −1.11535 | − | 0.509361i | −0.229484 | − | 0.973312i | \(-0.573704\pi\) |
−0.885861 | + | 0.463951i | \(0.846431\pi\) | |||||||
\(180\) | −1.19893 | + | 1.88747i | −0.0893631 | + | 0.140684i | ||||
\(181\) | 0.126469 | − | 0.196790i | 0.00940040 | − | 0.0146273i | −0.836522 | − | 0.547934i | \(-0.815414\pi\) |
0.845922 | + | 0.533307i | \(0.179051\pi\) | |||||||
\(182\) | −0.0117926 | + | 0.164882i | −0.000874127 | + | 0.0122219i | ||||
\(183\) | 9.02103 | − | 9.02103i | 0.666854 | − | 0.666854i | ||||
\(184\) | −0.848220 | − | 4.72022i | −0.0625316 | − | 0.347980i | ||||
\(185\) | −0.610467 | − | 1.61063i | −0.0448824 | − | 0.118416i | ||||
\(186\) | 4.27375 | + | 4.93217i | 0.313367 | + | 0.361645i | ||||
\(187\) | 14.3327 | − | 3.11789i | 1.04811 | − | 0.228003i | ||||
\(188\) | −3.79949 | + | 2.84427i | −0.277107 | + | 0.207439i | ||||
\(189\) | 0.574893 | − | 1.25884i | 0.0418173 | − | 0.0915671i | ||||
\(190\) | −1.25908 | − | 2.27709i | −0.0913436 | − | 0.165198i | ||||
\(191\) | −1.64227 | + | 5.59305i | −0.118830 | + | 0.404699i | −0.997329 | − | 0.0730469i | \(-0.976728\pi\) |
0.878498 | + | 0.477746i | \(0.158546\pi\) | |||||||
\(192\) | 0.212565 | − | 0.977147i | 0.0153406 | − | 0.0705195i | ||||
\(193\) | −0.825112 | + | 2.21221i | −0.0593928 | + | 0.159238i | −0.963257 | − | 0.268581i | \(-0.913445\pi\) |
0.903864 | + | 0.427819i | \(0.140718\pi\) | |||||||
\(194\) | 13.4792 | − | 3.95786i | 0.967754 | − | 0.284158i | ||||
\(195\) | 0.112239 | + | 0.242365i | 0.00803762 | + | 0.0173561i | ||||
\(196\) | 3.32985 | − | 3.84285i | 0.237846 | − | 0.274489i | ||||
\(197\) | 1.36222 | − | 2.49472i | 0.0970543 | − | 0.177742i | −0.824641 | − | 0.565657i | \(-0.808623\pi\) |
0.921695 | + | 0.387915i | \(0.126805\pi\) | |||||||
\(198\) | −4.25827 | − | 1.58825i | −0.302622 | − | 0.112872i | ||||
\(199\) | −1.40425 | + | 0.902454i | −0.0995444 | + | 0.0639733i | −0.589466 | − | 0.807793i | \(-0.700662\pi\) |
0.489922 | + | 0.871767i | \(0.337025\pi\) | |||||||
\(200\) | 1.69761 | − | 4.70299i | 0.120039 | − | 0.332552i | ||||
\(201\) | 14.3115 | − | 2.05769i | 1.00946 | − | 0.145138i | ||||
\(202\) | 1.13067 | + | 3.03146i | 0.0795540 | + | 0.213292i | ||||
\(203\) | 2.05351 | + | 2.74317i | 0.144128 | + | 0.192533i | ||||
\(204\) | −2.71505 | − | 1.74486i | −0.190092 | − | 0.122165i | ||||
\(205\) | 1.69256 | + | 5.65340i | 0.118213 | + | 0.394851i | ||||
\(206\) | 12.5607i | 0.875149i | ||||||||
\(207\) | 3.50776 | + | 3.27042i | 0.243806 | + | 0.227310i | ||||
\(208\) | −0.0844622 | − | 0.0844622i | −0.00585640 | − | 0.00585640i | ||||
\(209\) | 3.99686 | − | 3.46330i | 0.276468 | − | 0.239561i | ||||
\(210\) | −0.641762 | + | 3.02722i | −0.0442858 | + | 0.208898i | ||||
\(211\) | 3.71676 | − | 25.8506i | 0.255872 | − | 1.77963i | −0.305625 | − | 0.952152i | \(-0.598865\pi\) |
0.561497 | − | 0.827479i | \(-0.310226\pi\) | |||||||
\(212\) | −4.64969 | + | 1.73424i | −0.319342 | + | 0.119108i | ||||
\(213\) | 4.73218 | − | 6.32145i | 0.324243 | − | 0.433138i | ||||
\(214\) | −19.3952 | − | 5.69494i | −1.32583 | − | 0.389298i | ||||
\(215\) | 6.45593 | − | 8.71998i | 0.440291 | − | 0.594697i | ||||
\(216\) | 0.415415 | + | 0.909632i | 0.0282654 | + | 0.0618926i | ||||
\(217\) | 7.92686 | + | 4.32839i | 0.538110 | + | 0.293830i | ||||
\(218\) | 0.347250 | + | 4.85519i | 0.0235187 | + | 0.328835i | ||||
\(219\) | −8.42019 | − | 7.29613i | −0.568983 | − | 0.493027i | ||||
\(220\) | 10.0666 | + | 1.39300i | 0.678691 | + | 0.0939158i | ||||
\(221\) | −0.350667 | + | 0.160144i | −0.0235884 | + | 0.0107725i | ||||
\(222\) | −0.752694 | − | 0.163738i | −0.0505175 | − | 0.0109894i | ||||
\(223\) | 2.63511 | + | 4.82585i | 0.176460 | + | 0.323163i | 0.950907 | − | 0.309476i | \(-0.100154\pi\) |
−0.774447 | + | 0.632639i | \(0.781972\pi\) | |||||||
\(224\) | −0.196950 | − | 1.36981i | −0.0131592 | − | 0.0915246i | ||||
\(225\) | 1.45939 | + | 4.78228i | 0.0972926 | + | 0.318819i | ||||
\(226\) | −7.00140 | − | 1.00665i | −0.465726 | − | 0.0669613i | ||||
\(227\) | −4.65969 | − | 21.4203i | −0.309275 | − | 1.42171i | −0.825084 | − | 0.565010i | \(-0.808872\pi\) |
0.515809 | − | 0.856703i | \(-0.327491\pi\) | |||||||
\(228\) | −1.16069 | − | 0.0830141i | −0.0768685 | − | 0.00549774i | ||||
\(229\) | 3.90909 | 0.258320 | 0.129160 | − | 0.991624i | \(-0.458772\pi\) | ||||
0.129160 | + | 0.991624i | \(0.458772\pi\) | |||||||
\(230\) | −9.24768 | − | 5.42958i | −0.609774 | − | 0.358016i | ||||
\(231\) | −6.28958 | −0.413824 | ||||||||
\(232\) | −2.46977 | − | 0.176641i | −0.162148 | − | 0.0115971i | ||||
\(233\) | −0.556142 | − | 2.55654i | −0.0364341 | − | 0.167485i | 0.955335 | − | 0.295526i | \(-0.0954948\pi\) |
−0.991769 | + | 0.128041i | \(0.959131\pi\) | |||||||
\(234\) | 0.118232 | + | 0.0169992i | 0.00772905 | + | 0.00111127i | ||||
\(235\) | −0.701041 | + | 10.5896i | −0.0457309 | + | 0.690786i | ||||
\(236\) | 0.135277 | + | 0.940870i | 0.00880576 | + | 0.0612454i | ||||
\(237\) | 5.63614 | + | 10.3218i | 0.366107 | + | 0.670474i | ||||
\(238\) | −4.36432 | − | 0.949399i | −0.282897 | − | 0.0615404i | ||||
\(239\) | 2.86996 | − | 1.31067i | 0.185642 | − | 0.0847800i | −0.320425 | − | 0.947274i | \(-0.603826\pi\) |
0.506068 | + | 0.862494i | \(0.331099\pi\) | |||||||
\(240\) | −1.34949 | − | 1.78294i | −0.0871089 | − | 0.115089i | ||||
\(241\) | −3.90791 | − | 3.38623i | −0.251731 | − | 0.218126i | 0.519850 | − | 0.854258i | \(-0.325988\pi\) |
−0.771580 | + | 0.636132i | \(0.780533\pi\) | |||||||
\(242\) | 0.688810 | + | 9.63083i | 0.0442784 | + | 0.619093i | ||||
\(243\) | −0.877679 | − | 0.479249i | −0.0563031 | − | 0.0307438i | ||||
\(244\) | 5.29973 | + | 11.6048i | 0.339280 | + | 0.742920i | ||||
\(245\) | −1.67769 | − | 11.2455i | −0.107184 | − | 0.718452i | ||||
\(246\) | 2.53225 | + | 0.743536i | 0.161450 | + | 0.0474061i | ||||
\(247\) | −0.0832970 | + | 0.111272i | −0.00530006 | + | 0.00708005i | ||||
\(248\) | −6.11472 | + | 2.28067i | −0.388285 | + | 0.144823i | ||||
\(249\) | 0.208243 | − | 1.44836i | 0.0131969 | − | 0.0917861i | ||||
\(250\) | −5.51336 | − | 9.72640i | −0.348696 | − | 0.615152i | ||||
\(251\) | −22.3965 | + | 19.4067i | −1.41366 | + | 1.22494i | −0.475048 | + | 0.879960i | \(0.657569\pi\) |
−0.938610 | + | 0.344981i | \(0.887885\pi\) | |||||||
\(252\) | 0.978565 | + | 0.978565i | 0.0616438 | + | 0.0616438i | ||||
\(253\) | 6.89767 | − | 20.6760i | 0.433653 | − | 1.29989i | ||||
\(254\) | 16.2254i | 1.01807i | ||||||||
\(255\) | −6.91348 | + | 2.06981i | −0.432939 | + | 0.129616i | ||||
\(256\) | 0.841254 | + | 0.540641i | 0.0525783 | + | 0.0337901i | ||||
\(257\) | −5.38848 | − | 7.19817i | −0.336124 | − | 0.449009i | 0.600354 | − | 0.799734i | \(-0.295026\pi\) |
−0.936479 | + | 0.350725i | \(0.885935\pi\) | |||||||
\(258\) | −1.69565 | − | 4.54622i | −0.105567 | − | 0.283036i | ||||
\(259\) | −1.05516 | + | 0.151710i | −0.0655647 | + | 0.00942678i | ||||
\(260\) | −0.266308 | + | 0.0204646i | −0.0165157 | + | 0.00126916i | ||||
\(261\) | 2.08301 | − | 1.33867i | 0.128935 | − | 0.0828615i | ||||
\(262\) | 10.9709 | + | 4.09195i | 0.677787 | + | 0.252802i | ||||
\(263\) | 3.65121 | − | 6.68668i | 0.225143 | − | 0.412319i | −0.740551 | − | 0.672000i | \(-0.765436\pi\) |
0.965694 | + | 0.259681i | \(0.0836174\pi\) | |||||||
\(264\) | 2.97623 | − | 3.43475i | 0.183174 | − | 0.211394i | ||||
\(265\) | −3.82278 | + | 10.4174i | −0.234832 | + | 0.639936i | ||||
\(266\) | −1.54515 | + | 0.453697i | −0.0947391 | + | 0.0278179i | ||||
\(267\) | −2.97145 | + | 7.96676i | −0.181850 | + | 0.487558i | ||||
\(268\) | −3.07341 | + | 14.1283i | −0.187739 | + | 0.863021i | ||||
\(269\) | 5.69461 | − | 19.3941i | 0.347206 | − | 1.18248i | −0.582085 | − | 0.813128i | \(-0.697763\pi\) |
0.929291 | − | 0.369348i | \(-0.120419\pi\) | |||||||
\(270\) | 2.14880 | + | 0.618604i | 0.130772 | + | 0.0376470i | ||||
\(271\) | 7.17312 | − | 15.7069i | 0.435736 | − | 0.954129i | −0.556625 | − | 0.830764i | \(-0.687904\pi\) |
0.992361 | − | 0.123365i | \(-0.0393687\pi\) | |||||||
\(272\) | 2.58366 | − | 1.93410i | 0.156657 | − | 0.117272i | ||||
\(273\) | 0.161526 | − | 0.0351378i | 0.00977599 | − | 0.00212664i | ||||
\(274\) | −2.80313 | − | 3.23499i | −0.169343 | − | 0.195433i | ||||
\(275\) | 17.0152 | − | 15.0622i | 1.02605 | − | 0.908283i | ||||
\(276\) | −4.29005 | + | 2.14370i | −0.258231 | + | 0.129036i | ||||
\(277\) | −7.00123 | + | 7.00123i | −0.420663 | + | 0.420663i | −0.885432 | − | 0.464769i | \(-0.846137\pi\) |
0.464769 | + | 0.885432i | \(0.346137\pi\) | |||||||
\(278\) | −1.43280 | + | 20.0331i | −0.0859335 | + | 1.20151i | ||||
\(279\) | 3.52833 | − | 5.49019i | 0.211236 | − | 0.328689i | ||||
\(280\) | −2.61208 | − | 1.65920i | −0.156101 | − | 0.0991563i | ||||
\(281\) | −5.34860 | − | 2.44263i | −0.319071 | − | 0.145715i | 0.249441 | − | 0.968390i | \(-0.419753\pi\) |
−0.568512 | + | 0.822675i | \(0.692481\pi\) | |||||||
\(282\) | 3.79949 | + | 2.84427i | 0.226257 | + | 0.169374i | ||||
\(283\) | 19.6982 | − | 10.7560i | 1.17094 | − | 0.639379i | 0.228427 | − | 0.973561i | \(-0.426642\pi\) |
0.942509 | + | 0.334182i | \(0.108460\pi\) | |||||||
\(284\) | 4.26915 | + | 6.64293i | 0.253328 | + | 0.394185i | ||||
\(285\) | −1.83013 | + | 1.84961i | −0.108408 | + | 0.109562i | ||||
\(286\) | −0.152944 | − | 0.520878i | −0.00904375 | − | 0.0308002i | ||||
\(287\) | 3.64302 | − | 0.260554i | 0.215041 | − | 0.0153800i | ||||
\(288\) | −0.997452 | + | 0.0713392i | −0.0587754 | + | 0.00420370i | ||||
\(289\) | 1.85491 | + | 6.31725i | 0.109112 | + | 0.371603i | ||||
\(290\) | −3.89424 | + | 3.93570i | −0.228678 | + | 0.231112i | ||||
\(291\) | −7.59509 | − | 11.8182i | −0.445232 | − | 0.692794i | ||||
\(292\) | 9.77866 | − | 5.33955i | 0.572253 | − | 0.312474i | ||||
\(293\) | −14.8693 | − | 11.1310i | −0.868672 | − | 0.650280i | 0.0690704 | − | 0.997612i | \(-0.477997\pi\) |
−0.937742 | + | 0.347332i | \(0.887088\pi\) | |||||||
\(294\) | −4.62532 | − | 2.11231i | −0.269754 | − | 0.123192i | ||||
\(295\) | 1.79413 | + | 1.13964i | 0.104458 | + | 0.0663523i | ||||
\(296\) | 0.416454 | − | 0.648015i | 0.0242059 | − | 0.0376651i | ||||
\(297\) | −0.324224 | + | 4.53324i | −0.0188134 | + | 0.263046i | ||||
\(298\) | −12.3606 | + | 12.3606i | −0.716029 | + | 0.716029i | ||||
\(299\) | −0.0616325 | + | 0.569525i | −0.00356430 | + | 0.0329365i | ||||
\(300\) | −4.99076 | − | 0.303861i | −0.288142 | − | 0.0175434i | ||||
\(301\) | −4.39732 | − | 5.07478i | −0.253457 | − | 0.292506i | ||||
\(302\) | −0.318627 | + | 0.0693130i | −0.0183349 | + | 0.00398851i | ||||
\(303\) | 2.59011 | − | 1.93893i | 0.148798 | − | 0.111389i | ||||
\(304\) | 0.483399 | − | 1.05850i | 0.0277248 | − | 0.0607089i | ||||
\(305\) | 27.4136 | + | 7.89194i | 1.56970 | + | 0.451891i | ||||
\(306\) | −0.909261 | + | 3.09666i | −0.0519790 | + | 0.177024i | ||||
\(307\) | 3.45861 | − | 15.8990i | 0.197393 | − | 0.907401i | −0.766735 | − | 0.641964i | \(-0.778120\pi\) |
0.964128 | − | 0.265437i | \(-0.0855164\pi\) | |||||||
\(308\) | 2.19798 | − | 5.89302i | 0.125242 | − | 0.335786i | ||||
\(309\) | 12.0519 | − | 3.53877i | 0.685611 | − | 0.201314i | ||||
\(310\) | −5.02727 | + | 13.6997i | −0.285530 | + | 0.778093i | ||||
\(311\) | −12.5096 | + | 14.4368i | −0.709352 | + | 0.818636i | −0.989984 | − | 0.141179i | \(-0.954911\pi\) |
0.280632 | + | 0.959815i | \(0.409456\pi\) | |||||||
\(312\) | −0.0572451 | + | 0.104837i | −0.00324087 | + | 0.00593521i | ||||
\(313\) | 19.7429 | + | 7.36372i | 1.11593 | + | 0.416222i | 0.838707 | − | 0.544582i | \(-0.183312\pi\) |
0.277227 | + | 0.960804i | \(0.410585\pi\) | |||||||
\(314\) | 13.5819 | − | 8.72853i | 0.766468 | − | 0.492579i | ||||
\(315\) | 3.08540 | − | 0.237099i | 0.173842 | − | 0.0133590i | ||||
\(316\) | −11.6407 | + | 1.67367i | −0.654838 | + | 0.0941515i | ||||
\(317\) | −5.73389 | − | 15.3731i | −0.322047 | − | 0.863442i | −0.992583 | − | 0.121565i | \(-0.961209\pi\) |
0.670536 | − | 0.741877i | \(-0.266064\pi\) | |||||||
\(318\) | 2.97396 | + | 3.97275i | 0.166772 | + | 0.222781i | ||||
\(319\) | −9.46691 | − | 6.08402i | −0.530045 | − | 0.340640i | ||||
\(320\) | 2.14213 | − | 0.641325i | 0.119748 | − | 0.0358511i | ||||
\(321\) | 20.2140i | 1.12823i | ||||||||
\(322\) | −4.52593 | + | 4.85439i | −0.252220 | + | 0.270525i | ||||
\(323\) | −2.65559 | − | 2.65559i | −0.147761 | − | 0.147761i | ||||
\(324\) | 0.755750 | − | 0.654861i | 0.0419861 | − | 0.0363812i | ||||
\(325\) | −0.352828 | + | 0.481877i | −0.0195714 | + | 0.0267297i | ||||
\(326\) | 0.235655 | − | 1.63901i | 0.0130517 | − | 0.0907766i | ||||
\(327\) | 4.56069 | − | 1.70105i | 0.252207 | − | 0.0940682i | ||||
\(328\) | −1.58159 | + | 2.11275i | −0.0873285 | + | 0.116657i | ||||
\(329\) | 6.30215 | + | 1.85048i | 0.347449 | + | 0.102020i | ||||
\(330\) | −1.49952 | − | 10.0513i | −0.0825460 | − | 0.553306i | ||||
\(331\) | −8.76458 | − | 19.1918i | −0.481745 | − | 1.05487i | −0.981980 | − | 0.188985i | \(-0.939480\pi\) |
0.500235 | − | 0.865890i | \(-0.333247\pi\) | |||||||
\(332\) | 1.28427 | + | 0.701263i | 0.0704833 | + | 0.0384868i | ||||
\(333\) | 0.0549524 | + | 0.768335i | 0.00301137 | + | 0.0421045i | ||||
\(334\) | 1.77210 | + | 1.53553i | 0.0969647 | + | 0.0840204i | ||||
\(335\) | 19.5118 | + | 25.7790i | 1.06604 | + | 1.40846i | ||||
\(336\) | −1.25884 | + | 0.574893i | −0.0686753 | + | 0.0313630i | ||||
\(337\) | −21.9554 | − | 4.77610i | −1.19599 | − | 0.260171i | −0.429880 | − | 0.902886i | \(-0.641444\pi\) |
−0.766105 | + | 0.642715i | \(0.777808\pi\) | |||||||
\(338\) | −6.22340 | − | 11.3973i | −0.338508 | − | 0.619932i | ||||
\(339\) | 1.00665 | + | 7.00140i | 0.0546737 | + | 0.380264i | ||||
\(340\) | 0.476709 | − | 7.20091i | 0.0258532 | − | 0.390524i | ||||
\(341\) | −29.3585 | − | 4.22112i | −1.58985 | − | 0.228587i | ||||
\(342\) | 0.247352 | + | 1.13706i | 0.0133753 | + | 0.0614852i | ||||
\(343\) | −16.6816 | − | 1.19309i | −0.900720 | − | 0.0644208i | ||||
\(344\) | 4.85215 | 0.261611 | ||||||||
\(345\) | −2.60427 | + | 10.4028i | −0.140209 | + | 0.560067i | ||||
\(346\) | 2.64510 | 0.142202 | ||||||||
\(347\) | 23.4361 | + | 1.67618i | 1.25811 | + | 0.0899822i | 0.684421 | − | 0.729087i | \(-0.260055\pi\) |
0.573694 | + | 0.819070i | \(0.305510\pi\) | |||||||
\(348\) | 0.526328 | + | 2.41949i | 0.0282142 | + | 0.129698i | ||||
\(349\) | 5.35172 | + | 0.769461i | 0.286471 | + | 0.0411883i | 0.284052 | − | 0.958809i | \(-0.408321\pi\) |
0.00241856 | + | 0.999997i | \(0.499230\pi\) | |||||||
\(350\) | −6.61820 | + | 2.01965i | −0.353757 | + | 0.107955i | ||||
\(351\) | −0.0169992 | − | 0.118232i | −0.000907348 | − | 0.00631075i | ||||
\(352\) | 2.17810 | + | 3.98890i | 0.116093 | + | 0.212609i | ||||
\(353\) | 24.3728 | + | 5.30199i | 1.29724 | + | 0.282196i | 0.807600 | − | 0.589731i | \(-0.200766\pi\) |
0.489636 | + | 0.871927i | \(0.337130\pi\) | |||||||
\(354\) | 0.864646 | − | 0.394871i | 0.0459554 | − | 0.0209871i | ||||
\(355\) | 17.4904 | + | 2.42028i | 0.928293 | + | 0.128455i | ||||
\(356\) | −6.42604 | − | 5.56820i | −0.340580 | − | 0.295114i | ||||
\(357\) | 0.318628 | + | 4.45501i | 0.0168636 | + | 0.235784i | ||||
\(358\) | −14.3981 | − | 7.86197i | −0.760964 | − | 0.415518i | ||||
\(359\) | −0.168571 | − | 0.369119i | −0.00889685 | − | 0.0194814i | 0.905131 | − | 0.425132i | \(-0.139772\pi\) |
−0.914028 | + | 0.405651i | \(0.867045\pi\) | |||||||
\(360\) | −1.33053 | + | 1.79714i | −0.0701250 | + | 0.0947173i | ||||
\(361\) | 16.9311 | + | 4.97143i | 0.891112 | + | 0.261654i | ||||
\(362\) | 0.140186 | − | 0.187267i | 0.00736802 | − | 0.00984252i | ||||
\(363\) | 9.04665 | − | 3.37423i | 0.474826 | − | 0.177101i | ||||
\(364\) | −0.0235251 | + | 0.163621i | −0.00123305 | + | 0.00857607i | ||||
\(365\) | 5.16670 | − | 24.3715i | 0.270437 | − | 1.27566i | ||||
\(366\) | 9.64160 | − | 8.35450i | 0.503975 | − | 0.436696i | ||||
\(367\) | 7.95998 | + | 7.95998i | 0.415508 | + | 0.415508i | 0.883652 | − | 0.468144i | \(-0.155077\pi\) |
−0.468144 | + | 0.883652i | \(0.655077\pi\) | |||||||
\(368\) | −0.509322 | − | 4.76871i | −0.0265503 | − | 0.248586i | ||||
\(369\) | − | 2.63915i | − | 0.137389i | ||||||
\(370\) | −0.494011 | − | 1.65007i | −0.0256824 | − | 0.0857832i | ||||
\(371\) | 5.77749 | + | 3.71297i | 0.299952 | + | 0.192768i | ||||
\(372\) | 3.91101 | + | 5.22449i | 0.202776 | + | 0.270877i | ||||
\(373\) | 4.30996 | + | 11.5554i | 0.223161 | + | 0.598318i | 0.999487 | − | 0.0320129i | \(-0.0101918\pi\) |
−0.776326 | + | 0.630331i | \(0.782919\pi\) | |||||||
\(374\) | 14.5186 | − | 2.08746i | 0.750740 | − | 0.107940i | ||||
\(375\) | −7.77912 | + | 8.03027i | −0.401712 | + | 0.414682i | ||||
\(376\) | −3.99272 | + | 2.56597i | −0.205909 | + | 0.132330i | ||||
\(377\) | 0.277114 | + | 0.103358i | 0.0142721 | + | 0.00532321i | ||||
\(378\) | 0.663233 | − | 1.21462i | 0.0341130 | − | 0.0624733i | ||||
\(379\) | −17.4589 | + | 20.1486i | −0.896803 | + | 1.03497i | 0.102387 | + | 0.994745i | \(0.467352\pi\) |
−0.999191 | + | 0.0402217i | \(0.987194\pi\) | |||||||
\(380\) | −1.09343 | − | 2.36111i | −0.0560918 | − | 0.121123i | ||||
\(381\) | 15.5682 | − | 4.57123i | 0.797582 | − | 0.234191i | ||||
\(382\) | −2.03709 | + | 5.46164i | −0.104226 | + | 0.279442i | ||||
\(383\) | −0.685677 | + | 3.15201i | −0.0350365 | + | 0.161060i | −0.991341 | − | 0.131312i | \(-0.958081\pi\) |
0.956305 | + | 0.292372i | \(0.0944446\pi\) | |||||||
\(384\) | 0.281733 | − | 0.959493i | 0.0143771 | − | 0.0489639i | ||||
\(385\) | −6.80539 | − | 12.3078i | −0.346835 | − | 0.627261i | ||||
\(386\) | −0.980827 | + | 2.14771i | −0.0499228 | + | 0.109316i | ||||
\(387\) | −3.88435 | + | 2.90779i | −0.197453 | + | 0.147811i | ||||
\(388\) | 13.7273 | − | 2.98618i | 0.696896 | − | 0.151600i | ||||
\(389\) | 3.20245 | + | 3.69583i | 0.162371 | + | 0.187386i | 0.831105 | − | 0.556116i | \(-0.187709\pi\) |
−0.668734 | + | 0.743502i | \(0.733163\pi\) | |||||||
\(390\) | 0.0946632 | + | 0.249755i | 0.00479346 | + | 0.0126468i | ||||
\(391\) | −14.9946 | − | 3.83828i | −0.758308 | − | 0.194110i | ||||
\(392\) | 3.59551 | − | 3.59551i | 0.181601 | − | 0.181601i | ||||
\(393\) | 0.835326 | − | 11.6794i | 0.0421366 | − | 0.589147i | ||||
\(394\) | 1.53672 | − | 2.39119i | 0.0774190 | − | 0.120466i | ||||
\(395\) | −14.0999 | + | 22.1974i | −0.709442 | + | 1.11687i | ||||
\(396\) | −4.13412 | − | 1.88799i | −0.207747 | − | 0.0948750i | ||||
\(397\) | 8.99817 | + | 6.73595i | 0.451605 | + | 0.338067i | 0.800747 | − | 0.599002i | \(-0.204436\pi\) |
−0.349142 | + | 0.937070i | \(0.613527\pi\) | |||||||
\(398\) | −1.46505 | + | 0.799977i | −0.0734363 | + | 0.0400992i | ||||
\(399\) | 0.870637 | + | 1.35474i | 0.0435864 | + | 0.0678217i | ||||
\(400\) | 2.02879 | − | 4.56990i | 0.101440 | − | 0.228495i | ||||
\(401\) | 4.67283 | + | 15.9142i | 0.233350 | + | 0.794718i | 0.990021 | + | 0.140922i | \(0.0450065\pi\) |
−0.756671 | + | 0.653796i | \(0.773175\pi\) | |||||||
\(402\) | 14.4218 | − | 1.03147i | 0.719296 | − | 0.0514451i | ||||
\(403\) | 0.777553 | − | 0.0556117i | 0.0387327 | − | 0.00277021i | ||||
\(404\) | 0.911532 | + | 3.10439i | 0.0453504 | + | 0.154449i | ||||
\(405\) | −0.0118400 | − | 2.23604i | −0.000588337 | − | 0.111110i | ||||
\(406\) | 1.85258 | + | 2.88268i | 0.0919422 | + | 0.143065i | ||||
\(407\) | 3.07264 | − | 1.67779i | 0.152305 | − | 0.0831648i | ||||
\(408\) | −2.58366 | − | 1.93410i | −0.127910 | − | 0.0957524i | ||||
\(409\) | −20.8341 | − | 9.51462i | −1.03018 | − | 0.470468i | −0.172695 | − | 0.984975i | \(-0.555247\pi\) |
−0.857486 | + | 0.514508i | \(0.827975\pi\) | |||||||
\(410\) | 1.28493 | + | 5.75974i | 0.0634584 | + | 0.284453i | ||||
\(411\) | −2.31421 | + | 3.60099i | −0.114152 | + | 0.177624i | ||||
\(412\) | −0.896073 | + | 12.5287i | −0.0441464 | + | 0.617247i | ||||
\(413\) | 0.930170 | − | 0.930170i | 0.0457707 | − | 0.0457707i | ||||
\(414\) | 3.26551 | + | 3.51232i | 0.160491 | + | 0.172621i | ||||
\(415\) | 3.05954 | − | 1.15964i | 0.150187 | − | 0.0569245i | ||||
\(416\) | −0.0782215 | − | 0.0902725i | −0.00383513 | − | 0.00442597i | ||||
\(417\) | 19.6253 | − | 4.26923i | 0.961056 | − | 0.209065i | ||||
\(418\) | 4.23374 | − | 3.16934i | 0.207079 | − | 0.155017i | ||||
\(419\) | 8.60647 | − | 18.8455i | 0.420454 | − | 0.920665i | −0.574327 | − | 0.818626i | \(-0.694736\pi\) |
0.994780 | − | 0.102039i | \(-0.0325366\pi\) | |||||||
\(420\) | −0.856086 | + | 2.97372i | −0.0417727 | + | 0.145103i | ||||
\(421\) | 3.64401 | − | 12.4104i | 0.177598 | − | 0.604845i | −0.821787 | − | 0.569795i | \(-0.807023\pi\) |
0.999386 | − | 0.0350500i | \(-0.0111591\pi\) | |||||||
\(422\) | 5.55145 | − | 25.5196i | 0.270241 | − | 1.24228i | ||||
\(423\) | 1.65861 | − | 4.44691i | 0.0806445 | − | 0.216216i | ||||
\(424\) | −4.76156 | + | 1.39812i | −0.231242 | + | 0.0678988i | ||||
\(425\) | −11.5307 | − | 11.2891i | −0.559324 | − | 0.547601i | ||||
\(426\) | 5.17109 | − | 5.96775i | 0.250540 | − | 0.289139i | ||||
\(427\) | 8.46130 | − | 15.4957i | 0.409471 | − | 0.749890i | ||||
\(428\) | −18.9395 | − | 7.06406i | −0.915474 | − | 0.341454i | ||||
\(429\) | −0.456690 | + | 0.293497i | −0.0220492 | + | 0.0141702i | ||||
\(430\) | 7.06156 | − | 8.23720i | 0.340538 | − | 0.397233i | ||||
\(431\) | −14.0564 | + | 2.02101i | −0.677075 | + | 0.0973486i | −0.472270 | − | 0.881454i | \(-0.656565\pi\) |
−0.204805 | + | 0.978803i | \(0.565656\pi\) | |||||||
\(432\) | 0.349464 | + | 0.936950i | 0.0168136 | + | 0.0450790i | ||||
\(433\) | −14.9083 | − | 19.9152i | −0.716448 | − | 0.957062i | 0.283550 | − | 0.958957i | \(-0.408488\pi\) |
−0.999998 | + | 0.00189501i | \(0.999397\pi\) | |||||||
\(434\) | 7.59788 | + | 4.88286i | 0.364710 | + | 0.234385i | ||||
\(435\) | 4.87341 | + | 2.62768i | 0.233662 | + | 0.125988i | ||||
\(436\) | 4.86759i | 0.233115i | ||||||||
\(437\) | −5.40830 | + | 1.37636i | −0.258714 | + | 0.0658405i | ||||
\(438\) | −7.87823 | − | 7.87823i | −0.376436 | − | 0.376436i | ||||
\(439\) | −5.16502 | + | 4.47551i | −0.246513 | + | 0.213605i | −0.769349 | − | 0.638828i | \(-0.779419\pi\) |
0.522836 | + | 0.852433i | \(0.324874\pi\) | |||||||
\(440\) | 9.94159 | + | 2.10759i | 0.473947 | + | 0.100475i | ||||
\(441\) | −0.723645 | + | 5.03306i | −0.0344593 | + | 0.239670i | ||||
\(442\) | −0.361198 | + | 0.134720i | −0.0171804 | + | 0.00640797i | ||||
\(443\) | 16.2661 | − | 21.7290i | 0.772827 | − | 1.03238i | −0.225482 | − | 0.974247i | \(-0.572396\pi\) |
0.998309 | − | 0.0581287i | \(-0.0185134\pi\) | |||||||
\(444\) | −0.739095 | − | 0.217018i | −0.0350759 | − | 0.0102992i | ||||
\(445\) | −18.8049 | + | 2.80544i | −0.891437 | + | 0.132991i | ||||
\(446\) | 2.28413 | + | 5.00154i | 0.108157 | + | 0.236830i | ||||
\(447\) | 15.3423 | + | 8.37751i | 0.725664 | + | 0.396243i | ||||
\(448\) | −0.0987263 | − | 1.38037i | −0.00466438 | − | 0.0652165i | ||||
\(449\) | −1.12903 | − | 0.978314i | −0.0532824 | − | 0.0461695i | 0.627813 | − | 0.778365i | \(-0.283950\pi\) |
−0.681095 | + | 0.732195i | \(0.738496\pi\) | |||||||
\(450\) | 1.11451 | + | 4.87421i | 0.0525383 | + | 0.229772i | ||||
\(451\) | −10.9106 | + | 4.98269i | −0.513759 | + | 0.234626i | ||||
\(452\) | −6.91175 | − | 1.50356i | −0.325101 | − | 0.0707214i | ||||
\(453\) | 0.156273 | + | 0.286192i | 0.00734234 | + | 0.0134465i | ||||
\(454\) | −3.11972 | − | 21.6981i | −0.146416 | − | 1.01834i | ||||
\(455\) | 0.243532 | + | 0.278062i | 0.0114170 | + | 0.0130358i | ||||
\(456\) | −1.15181 | − | 0.165605i | −0.0539384 | − | 0.00775517i | ||||
\(457\) | −8.65573 | − | 39.7898i | −0.404898 | − | 1.86129i | −0.500306 | − | 0.865848i | \(-0.666779\pi\) |
0.0954083 | − | 0.995438i | \(-0.469584\pi\) | |||||||
\(458\) | 3.89913 | + | 0.278871i | 0.182194 | + | 0.0130308i | ||||
\(459\) | 3.22739 | 0.150642 | ||||||||
\(460\) | −8.83678 | − | 6.07547i | −0.412017 | − | 0.283270i | ||||
\(461\) | 26.9244 | 1.25399 | 0.626997 | − | 0.779021i | \(-0.284284\pi\) | ||||
0.626997 | + | 0.779021i | \(0.284284\pi\) | |||||||
\(462\) | −6.27356 | − | 0.448694i | −0.291872 | − | 0.0208751i | ||||
\(463\) | −4.27999 | − | 19.6748i | −0.198908 | − | 0.914365i | −0.963051 | − | 0.269318i | \(-0.913202\pi\) |
0.764143 | − | 0.645047i | \(-0.223162\pi\) | |||||||
\(464\) | −2.45088 | − | 0.352383i | −0.113779 | − | 0.0163590i | ||||
\(465\) | 14.5612 | + | 0.963967i | 0.675258 | + | 0.0447029i | ||||
\(466\) | −0.372343 | − | 2.58970i | −0.0172485 | − | 0.119966i | ||||
\(467\) | 0.701211 | + | 1.28417i | 0.0324482 | + | 0.0594244i | 0.893400 | − | 0.449262i | \(-0.148313\pi\) |
−0.860952 | + | 0.508686i | \(0.830131\pi\) | |||||||
\(468\) | 0.116718 | + | 0.0253904i | 0.00539528 | + | 0.00117367i | ||||
\(469\) | 18.2012 | − | 8.31220i | 0.840452 | − | 0.383822i | ||||
\(470\) | −1.45470 | + | 10.5126i | −0.0671005 | + | 0.484908i | ||||
\(471\) | −12.2014 | − | 10.5726i | −0.562211 | − | 0.487159i | ||||
\(472\) | 0.0678111 | + | 0.948123i | 0.00312126 | + | 0.0436409i | ||||
\(473\) | 19.3547 | + | 10.5685i | 0.889932 | + | 0.485940i | ||||
\(474\) | 4.88543 | + | 10.6976i | 0.224395 | + | 0.491357i | ||||
\(475\) | −5.59963 | − | 1.57998i | −0.256929 | − | 0.0724947i | ||||
\(476\) | −4.28547 | − | 1.25833i | −0.196424 | − | 0.0576753i | ||||
\(477\) | 2.97396 | − | 3.97275i | 0.136168 | − | 0.181900i | ||||
\(478\) | 2.95615 | − | 1.10259i | 0.135211 | − | 0.0504312i | ||||
\(479\) | −2.03278 | + | 14.1383i | −0.0928801 | + | 0.645995i | 0.889198 | + | 0.457522i | \(0.151263\pi\) |
−0.982078 | + | 0.188473i | \(0.939646\pi\) | |||||||
\(480\) | −1.21885 | − | 1.87467i | −0.0556328 | − | 0.0855667i | ||||
\(481\) | −0.0695366 | + | 0.0602538i | −0.00317060 | + | 0.00274734i | ||||
\(482\) | −3.65639 | − | 3.65639i | −0.166544 | − | 0.166544i | ||||
\(483\) | 5.93286 | + | 2.97496i | 0.269954 | + | 0.135365i | ||||
\(484\) | 9.65543i | 0.438883i | ||||||||
\(485\) | 14.9084 | − | 27.6498i | 0.676957 | − | 1.25551i | ||||
\(486\) | −0.841254 | − | 0.540641i | −0.0381600 | − | 0.0245240i | ||||
\(487\) | −5.21736 | − | 6.96958i | −0.236421 | − | 0.315822i | 0.666602 | − | 0.745414i | \(-0.267748\pi\) |
−0.903023 | + | 0.429592i | \(0.858657\pi\) | |||||||
\(488\) | 4.45835 | + | 11.9533i | 0.201820 | + | 0.541100i | ||||
\(489\) | −1.63901 | + | 0.235655i | −0.0741188 | + | 0.0106567i | ||||
\(490\) | −0.871167 | − | 11.3366i | −0.0393553 | − | 0.512134i | ||||
\(491\) | 19.6322 | − | 12.6168i | 0.885988 | − | 0.569390i | −0.0166160 | − | 0.999862i | \(-0.505289\pi\) |
0.902604 | + | 0.430472i | \(0.141653\pi\) | |||||||
\(492\) | 2.47276 | + | 0.922290i | 0.111480 | + | 0.0415800i | ||||
\(493\) | −3.82981 | + | 7.01378i | −0.172486 | + | 0.315885i | ||||
\(494\) | −0.0910228 | + | 0.105046i | −0.00409531 | + | 0.00472624i | ||||
\(495\) | −9.22168 | + | 4.27056i | −0.414484 | + | 0.191947i | ||||
\(496\) | −6.26184 | + | 1.83864i | −0.281165 | + | 0.0825575i | ||||
\(497\) | 3.81892 | − | 10.2389i | 0.171302 | − | 0.459278i | ||||
\(498\) | 0.311037 | − | 1.42981i | 0.0139379 | − | 0.0640715i | ||||
\(499\) | −2.94846 | + | 10.0415i | −0.131991 | + | 0.449520i | −0.998792 | − | 0.0491337i | \(-0.984354\pi\) |
0.866801 | + | 0.498654i | \(0.166172\pi\) | |||||||
\(500\) | −4.80544 | − | 10.0949i | −0.214906 | − | 0.451459i | ||||
\(501\) | 0.974073 | − | 2.13292i | 0.0435184 | − | 0.0952919i | ||||
\(502\) | −23.7239 | + | 17.7595i | −1.05885 | + | 0.792646i | ||||
\(503\) | −38.0402 | + | 8.27515i | −1.69613 | + | 0.368971i | −0.953655 | − | 0.300903i | \(-0.902712\pi\) |
−0.742475 | + | 0.669873i | \(0.766348\pi\) | |||||||
\(504\) | 0.906262 | + | 1.04588i | 0.0403681 | + | 0.0465873i | ||||
\(505\) | 6.59673 | + | 2.97051i | 0.293551 | + | 0.132186i | ||||
\(506\) | 8.35510 | − | 20.1312i | 0.371430 | − | 0.894943i | ||||
\(507\) | −9.18230 | + | 9.18230i | −0.407800 | + | 0.407800i | ||||
\(508\) | −1.15751 | + | 16.1841i | −0.0513561 | + | 0.718052i | ||||
\(509\) | 3.02734 | − | 4.71063i | 0.134184 | − | 0.208795i | −0.767658 | − | 0.640859i | \(-0.778578\pi\) |
0.901843 | + | 0.432064i | \(0.142215\pi\) | |||||||
\(510\) | −7.04352 | + | 1.57133i | −0.311892 | + | 0.0695797i | ||||
\(511\) | −14.0254 | − | 6.40517i | −0.620446 | − | 0.283348i | ||||
\(512\) | 0.800541 | + | 0.599278i | 0.0353793 | + | 0.0264846i | ||||
\(513\) | 1.02131 | − | 0.557680i | 0.0450921 | − | 0.0246222i | ||||
\(514\) | −4.86124 | − | 7.56424i | −0.214420 | − | 0.333644i | ||||
\(515\) | 19.9652 | + | 19.7548i | 0.879770 | + | 0.870502i | ||||
\(516\) | −1.36701 | − | 4.65561i | −0.0601793 | − | 0.204952i | ||||
\(517\) | −21.5155 | + | 1.53882i | −0.946250 | + | 0.0676772i | ||||
\(518\) | −1.06330 | + | 0.0760486i | −0.0467187 | + | 0.00334138i | ||||
\(519\) | −0.745211 | − | 2.53796i | −0.0327111 | − | 0.111404i | ||||
\(520\) | −0.267089 | + | 0.00141427i | −0.0117126 | + | 6.20196e-5i | ||||
\(521\) | 11.7241 | + | 18.2430i | 0.513640 | + | 0.799240i | 0.997098 | − | 0.0761276i | \(-0.0242556\pi\) |
−0.483458 | + | 0.875368i | \(0.660619\pi\) | |||||||
\(522\) | 2.17320 | − | 1.18666i | 0.0951185 | − | 0.0519386i | ||||
\(523\) | −1.03701 | − | 0.776294i | −0.0453451 | − | 0.0339450i | 0.576365 | − | 0.817193i | \(-0.304471\pi\) |
−0.621710 | + | 0.783248i | \(0.713562\pi\) | |||||||
\(524\) | 10.6511 | + | 4.86418i | 0.465295 | + | 0.212493i | ||||
\(525\) | 3.80240 | + | 5.78111i | 0.165950 | + | 0.252308i | ||||
\(526\) | 4.11893 | − | 6.40917i | 0.179594 | − | 0.279453i | ||||
\(527\) | −1.50259 | + | 21.0089i | −0.0654538 | + | 0.915164i | ||||
\(528\) | 3.21368 | − | 3.21368i | 0.139857 | − | 0.139857i | ||||
\(529\) | −16.2861 | + | 16.2407i | −0.708093 | + | 0.706119i | ||||
\(530\) | −4.55621 | + | 10.1182i | −0.197909 | + | 0.439505i | ||||
\(531\) | −0.622475 | − | 0.718374i | −0.0270131 | − | 0.0311748i | ||||
\(532\) | −1.57358 | + | 0.342311i | −0.0682233 | + | 0.0148411i | ||||
\(533\) | 0.252363 | − | 0.188917i | 0.0109311 | − | 0.00818289i | ||||
\(534\) | −3.53222 | + | 7.73448i | −0.152854 | + | 0.334704i | ||||
\(535\) | −39.5557 | + | 21.8717i | −1.71014 | + | 0.945597i | ||||
\(536\) | −4.07348 | + | 13.8730i | −0.175948 | + | 0.599223i | ||||
\(537\) | −3.48708 | + | 16.0299i | −0.150479 | + | 0.691740i | ||||
\(538\) | 7.06366 | − | 18.9384i | 0.304536 | − | 0.816492i | ||||
\(539\) | 22.1735 | − | 6.51073i | 0.955081 | − | 0.280437i | ||||
\(540\) | 2.09919 | + | 0.770321i | 0.0903348 | + | 0.0331493i | ||||
\(541\) | 19.4598 | − | 22.4578i | 0.836642 | − | 0.965537i | −0.163136 | − | 0.986604i | \(-0.552161\pi\) |
0.999778 | + | 0.0210669i | \(0.00670629\pi\) | |||||||
\(542\) | 8.27537 | − | 15.1552i | 0.355457 | − | 0.650972i | ||||
\(543\) | −0.219176 | − | 0.0817484i | −0.00940574 | − | 0.00350816i | ||||
\(544\) | 2.71505 | − | 1.74486i | 0.116407 | − | 0.0748102i | ||||
\(545\) | 8.26340 | + | 7.08402i | 0.353965 | + | 0.303446i | ||||
\(546\) | 0.163621 | − | 0.0235251i | 0.00700233 | − | 0.00100678i | ||||
\(547\) | −5.70466 | − | 15.2948i | −0.243914 | − | 0.653958i | 0.756086 | − | 0.654472i | \(-0.227109\pi\) |
−1.00000 | 0.000514350i | \(0.999836\pi\) | ||||||||
\(548\) | −2.56521 | − | 3.42672i | −0.109580 | − | 0.146382i | ||||
\(549\) | −10.7324 | − | 6.89732i | −0.458049 | − | 0.294370i | ||||
\(550\) | 18.0464 | − | 13.8099i | 0.769499 | − | 0.588858i | ||||
\(551\) | 2.88130i | 0.122747i | ||||||||
\(552\) | −4.43205 | + | 1.83219i | −0.188641 | + | 0.0779833i | ||||
\(553\) | 11.5083 | + | 11.5083i | 0.489382 | + | 0.489382i | ||||
\(554\) | −7.48285 | + | 6.48393i | −0.317916 | + | 0.275476i | ||||
\(555\) | −1.44406 | + | 0.938879i | −0.0612967 | + | 0.0398532i | ||||
\(556\) | −2.85829 | + | 19.8799i | −0.121219 | + | 0.843094i | ||||
\(557\) | 21.5457 | − | 8.03613i | 0.912921 | − | 0.340502i | 0.151272 | − | 0.988492i | \(-0.451663\pi\) |
0.761649 | + | 0.647990i | \(0.224390\pi\) | |||||||
\(558\) | 3.91101 | − | 5.22449i | 0.165566 | − | 0.221170i | ||||
\(559\) | −0.556101 | − | 0.163286i | −0.0235206 | − | 0.00690626i | ||||
\(560\) | −2.48706 | − | 1.84132i | −0.105097 | − | 0.0778099i | ||||
\(561\) | −6.09328 | − | 13.3424i | −0.257258 | − | 0.563317i | ||||
\(562\) | −5.16072 | − | 2.81797i | −0.217692 | − | 0.118869i | ||||
\(563\) | 1.53598 | + | 21.4758i | 0.0647337 | + | 0.905096i | 0.921249 | + | 0.388974i | \(0.127170\pi\) |
−0.856515 | + | 0.516122i | \(0.827375\pi\) | |||||||
\(564\) | 3.58691 | + | 3.10807i | 0.151036 | + | 0.130873i | ||||
\(565\) | −12.6115 | + | 9.54544i | −0.530568 | + | 0.401580i | ||||
\(566\) | 20.4153 | − | 9.32337i | 0.858120 | − | 0.391890i | ||||
\(567\) | −1.35227 | − | 0.294169i | −0.0567902 | − | 0.0123539i | ||||
\(568\) | 3.78437 | + | 6.93056i | 0.158789 | + | 0.290800i | ||||
\(569\) | 2.05603 | + | 14.3000i | 0.0861931 | + | 0.599486i | 0.986442 | + | 0.164110i | \(0.0524753\pi\) |
−0.900249 | + | 0.435376i | \(0.856616\pi\) | |||||||
\(570\) | −1.95742 | + | 1.71434i | −0.0819872 | + | 0.0718059i | ||||
\(571\) | −45.3962 | − | 6.52699i | −1.89977 | − | 0.273146i | −0.909870 | − | 0.414894i | \(-0.863819\pi\) |
−0.989903 | + | 0.141748i | \(0.954728\pi\) | |||||||
\(572\) | −0.115395 | − | 0.530462i | −0.00482491 | − | 0.0221797i | ||||
\(573\) | 5.81432 | + | 0.415848i | 0.242897 | + | 0.0173723i | ||||
\(574\) | 3.65233 | 0.152445 | ||||||||
\(575\) | −23.1745 | + | 6.15974i | −0.966444 | + | 0.256879i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −2.18620 | − | 0.156360i | −0.0910127 | − | 0.00650935i | 0.0257586 | − | 0.999668i | \(-0.491800\pi\) |
−0.116771 | + | 0.993159i | \(0.537254\pi\) | |||||||
\(578\) | 1.39952 | + | 6.43348i | 0.0582123 | + | 0.267597i | ||||
\(579\) | 2.33704 | + | 0.336016i | 0.0971242 | + | 0.0139644i | ||||
\(580\) | −4.16509 | + | 3.64786i | −0.172946 | + | 0.151469i | ||||
\(581\) | −0.288187 | − | 2.00439i | −0.0119560 | − | 0.0831560i | ||||
\(582\) | −6.73264 | − | 12.3299i | −0.279077 | − | 0.511091i | ||||
\(583\) | −22.0386 | − | 4.79421i | −0.912747 | − | 0.198556i | ||||
\(584\) | 10.1347 | − | 4.62835i | 0.419376 | − | 0.191522i | ||||
\(585\) | 0.212968 | − | 0.161193i | 0.00880516 | − | 0.00666450i | ||||
\(586\) | −14.0373 | − | 12.1634i | −0.579876 | − | 0.502465i | ||||
\(587\) | −1.78627 | − | 24.9754i | −0.0737274 | − | 1.03084i | −0.890826 | − | 0.454345i | \(-0.849873\pi\) |
0.817098 | − | 0.576498i | \(-0.195581\pi\) | |||||||
\(588\) | −4.46284 | − | 2.43689i | −0.184044 | − | 0.100496i | ||||
\(589\) | 3.15476 | + | 6.90796i | 0.129990 | + | 0.284638i | ||||
\(590\) | 1.70826 | + | 1.26473i | 0.0703278 | + | 0.0520680i | ||||
\(591\) | −2.72727 | − | 0.800799i | −0.112185 | − | 0.0329405i | ||||
\(592\) | 0.461622 | − | 0.616655i | 0.0189725 | − | 0.0253444i | ||||
\(593\) | −17.8558 | + | 6.65986i | −0.733249 | + | 0.273488i | −0.688224 | − | 0.725498i | \(-0.741609\pi\) |
−0.0450249 | + | 0.998986i | \(0.514337\pi\) | |||||||
\(594\) | −0.646796 | + | 4.49856i | −0.0265384 | + | 0.184578i | ||||
\(595\) | −8.37301 | + | 5.44387i | −0.343260 | + | 0.223177i | ||||
\(596\) | −13.2109 | + | 11.4473i | −0.541139 | + | 0.468899i | ||||
\(597\) | 1.18032 | + | 1.18032i | 0.0483075 | + | 0.0483075i | ||||
\(598\) | −0.102105 | + | 0.563677i | −0.00417538 | + | 0.0230505i | ||||
\(599\) | − | 13.2826i | − | 0.542713i | −0.962479 | − | 0.271357i | \(-0.912528\pi\) | ||
0.962479 | − | 0.271357i | \(-0.0874723\pi\) | |||||||
\(600\) | −4.95637 | − | 0.659124i | −0.202343 | − | 0.0269086i | ||||
\(601\) | 34.9040 | + | 22.4315i | 1.42376 | + | 0.914998i | 0.999957 | + | 0.00924582i | \(0.00294308\pi\) |
0.423808 | + | 0.905752i | \(0.360693\pi\) | |||||||
\(602\) | −4.02409 | − | 5.37555i | −0.164010 | − | 0.219091i | ||||
\(603\) | −5.05279 | − | 13.5471i | −0.205766 | − | 0.551679i | ||||
\(604\) | −0.322759 | + | 0.0464058i | −0.0131329 | + | 0.00188823i | ||||
\(605\) | 16.3914 | + | 14.0520i | 0.666406 | + | 0.571294i | ||||
\(606\) | 2.72184 | − | 1.74922i | 0.110567 | − | 0.0710571i | ||||
\(607\) | −33.9492 | − | 12.6624i | −1.37795 | − | 0.513950i | −0.452146 | − | 0.891944i | \(-0.649342\pi\) |
−0.925808 | + | 0.377993i | \(0.876614\pi\) | |||||||
\(608\) | 0.557680 | − | 1.02131i | 0.0226169 | − | 0.0414198i | ||||
\(609\) | 2.24398 | − | 2.58969i | 0.0909305 | − | 0.104939i | ||||
\(610\) | 26.7808 | + | 9.82750i | 1.08432 | + | 0.397904i | ||||
\(611\) | 0.543953 | − | 0.159719i | 0.0220060 | − | 0.00646154i | ||||
\(612\) | −1.12786 | + | 3.02390i | −0.0455909 | + | 0.122234i | ||||
\(613\) | −6.54810 | + | 30.1011i | −0.264475 | + | 1.21577i | 0.632805 | + | 0.774311i | \(0.281903\pi\) |
−0.897280 | + | 0.441462i | \(0.854460\pi\) | |||||||
\(614\) | 4.58401 | − | 15.6117i | 0.184996 | − | 0.630037i | ||||
\(615\) | 5.16442 | − | 2.85559i | 0.208250 | − | 0.115149i | ||||
\(616\) | 2.61279 | − | 5.72121i | 0.105272 | − | 0.230514i | ||||
\(617\) | −31.9161 | + | 23.8921i | −1.28489 | + | 0.961860i | −0.284900 | + | 0.958557i | \(0.591961\pi\) |
−0.999995 | + | 0.00330313i | \(0.998949\pi\) | |||||||
\(618\) | 12.2737 | − | 2.66998i | 0.493720 | − | 0.107402i | ||||
\(619\) | 29.5497 | + | 34.1021i | 1.18770 | + | 1.37068i | 0.912388 | + | 0.409326i | \(0.134236\pi\) |
0.275313 | + | 0.961355i | \(0.411219\pi\) | |||||||
\(620\) | −5.99179 | + | 13.3062i | −0.240636 | + | 0.534390i | ||||
\(621\) | 2.45005 | − | 4.12277i | 0.0983170 | − | 0.165441i | ||||
\(622\) | −13.5076 | + | 13.5076i | −0.541605 | + | 0.541605i | ||||
\(623\) | −0.839457 | + | 11.7371i | −0.0336321 | + | 0.470239i | ||||
\(624\) | −0.0645782 | + | 0.100486i | −0.00258520 | + | 0.00402265i | ||||
\(625\) | −24.1311 | − | 6.53372i | −0.965244 | − | 0.261349i | ||||
\(626\) | 19.1673 | + | 8.75340i | 0.766078 | + | 0.349856i | ||||
\(627\) | −4.23374 | − | 3.16934i | −0.169079 | − | 0.126571i | ||||
\(628\) | 14.1699 | − | 7.73737i | 0.565442 | − | 0.308755i | ||||
\(629\) | −1.34406 | − | 2.09140i | −0.0535912 | − | 0.0833895i | ||||
\(630\) | 3.09445 | − | 0.0163854i | 0.123286 | − | 0.000652812i | ||||
\(631\) | −1.19686 | − | 4.07614i | −0.0476464 | − | 0.162269i | 0.932233 | − | 0.361858i | \(-0.117857\pi\) |
−0.979880 | + | 0.199589i | \(0.936039\pi\) | |||||||
\(632\) | −11.7304 | + | 0.838974i | −0.466610 | + | 0.0333726i | ||||
\(633\) | −26.0499 | + | 1.86313i | −1.03539 | + | 0.0740527i | ||||
\(634\) | −4.62257 | − | 15.7430i | −0.183586 | − | 0.625235i | ||||
\(635\) | 25.7901 | + | 25.5184i | 1.02345 | + | 1.01267i | ||||
\(636\) | 2.68297 | + | 4.17479i | 0.106387 | + | 0.165541i | ||||
\(637\) | −0.533075 | + | 0.291081i | −0.0211212 | + | 0.0115331i | ||||
\(638\) | −9.00877 | − | 6.74388i | −0.356660 | − | 0.266993i | ||||
\(639\) | −7.18288 | − | 3.28031i | −0.284150 | − | 0.129767i | ||||
\(640\) | 2.18242 | − | 0.486873i | 0.0862677 | − | 0.0192454i | ||||
\(641\) | 3.21254 | − | 4.99880i | 0.126888 | − | 0.197441i | −0.771997 | − | 0.635626i | \(-0.780742\pi\) |
0.898885 | + | 0.438185i | \(0.144378\pi\) | |||||||
\(642\) | −1.44205 | + | 20.1625i | −0.0569131 | + | 0.795749i | ||||
\(643\) | −5.99603 | + | 5.99603i | −0.236460 | + | 0.236460i | −0.815383 | − | 0.578922i | \(-0.803473\pi\) |
0.578922 | + | 0.815383i | \(0.303473\pi\) | |||||||
\(644\) | −4.86070 | + | 4.51915i | −0.191539 | + | 0.178079i | ||||
\(645\) | −9.89300 | − | 4.45483i | −0.389537 | − | 0.175409i | ||||
\(646\) | −2.45937 | − | 2.83827i | −0.0967627 | − | 0.111670i | ||||
\(647\) | 34.3188 | − | 7.46560i | 1.34921 | − | 0.293503i | 0.520827 | − | 0.853662i | \(-0.325624\pi\) |
0.828385 | + | 0.560159i | \(0.189260\pi\) | |||||||
\(648\) | 0.800541 | − | 0.599278i | 0.0314482 | − | 0.0235419i | ||||
\(649\) | −1.79462 | + | 3.92966i | −0.0704449 | + | 0.154253i | ||||
\(650\) | −0.386306 | + | 0.455479i | −0.0151522 | + | 0.0178653i | ||||
\(651\) | 2.54450 | − | 8.66577i | 0.0997268 | − | 0.339638i | ||||
\(652\) | 0.351980 | − | 1.61803i | 0.0137846 | − | 0.0633668i | ||||
\(653\) | −15.7376 | + | 42.1941i | −0.615860 | + | 1.65118i | 0.135096 | + | 0.990832i | \(0.456866\pi\) |
−0.750956 | + | 0.660352i | \(0.770407\pi\) | |||||||
\(654\) | 4.67042 | − | 1.37136i | 0.182628 | − | 0.0536244i | ||||
\(655\) | 23.7586 | − | 11.0026i | 0.928326 | − | 0.429907i | ||||
\(656\) | −1.72828 | + | 1.99454i | −0.0674779 | + | 0.0778737i | ||||
\(657\) | −5.33955 | + | 9.77866i | −0.208316 | + | 0.381502i | ||||
\(658\) | 6.15408 | + | 2.29535i | 0.239911 | + | 0.0894822i | ||||
\(659\) | 19.6946 | − | 12.6570i | 0.767193 | − | 0.493045i | −0.0975679 | − | 0.995229i | \(-0.531106\pi\) |
0.864761 | + | 0.502184i | \(0.167470\pi\) | |||||||
\(660\) | −0.778651 | − | 10.1327i | −0.0303089 | − | 0.394413i | ||||
\(661\) | 35.8609 | − | 5.15603i | 1.39483 | − | 0.200546i | 0.596425 | − | 0.802669i | \(-0.296587\pi\) |
0.798404 | + | 0.602122i | \(0.205678\pi\) | |||||||
\(662\) | −7.37313 | − | 19.7681i | −0.286565 | − | 0.768310i | ||||
\(663\) | 0.231024 | + | 0.308612i | 0.00897223 | + | 0.0119855i | ||||
\(664\) | 1.23097 | + | 0.791095i | 0.0477708 | + | 0.0307004i | ||||
\(665\) | −1.70898 | + | 3.16955i | −0.0662713 | + | 0.122910i | ||||
\(666\) | 0.770297i | 0.0298484i | ||||||||
\(667\) | 6.05225 | + | 10.2168i | 0.234344 | + | 0.395595i | ||||
\(668\) | 1.65804 | + | 1.65804i | 0.0641514 | + | 0.0641514i | ||||
\(669\) | 4.15543 | − | 3.60070i | 0.160658 | − | 0.139211i | ||||
\(670\) | 17.6230 | + | 27.1053i | 0.680836 | + | 1.04717i | ||||
\(671\) | −8.25161 | + | 57.3912i | −0.318550 | + | 2.21556i | ||||
\(672\) | −1.29664 | + | 0.483624i | −0.0500192 | + | 0.0186562i | ||||
\(673\) | 0.337533 | − | 0.450892i | 0.0130110 | − | 0.0173806i | −0.793989 | − | 0.607933i | \(-0.791999\pi\) |
0.807000 | + | 0.590552i | \(0.201090\pi\) | |||||||
\(674\) | −21.5587 | − | 6.33021i | −0.830410 | − | 0.243830i | ||||
\(675\) | 4.36277 | − | 2.44258i | 0.167923 | − | 0.0940151i | ||||
\(676\) | −5.39447 | − | 11.8122i | −0.207480 | − | 0.454317i | ||||
\(677\) | −32.8835 | − | 17.9558i | −1.26382 | − | 0.690096i | −0.299310 | − | 0.954156i | \(-0.596757\pi\) |
−0.964506 | + | 0.264060i | \(0.914938\pi\) | |||||||
\(678\) | 0.504610 | + | 7.05537i | 0.0193794 | + | 0.270960i | ||||
\(679\) | −14.6929 | − | 12.7314i | −0.563861 | − | 0.488588i | ||||
\(680\) | 0.989201 | − | 7.14855i | 0.0379341 | − | 0.274134i | ||||
\(681\) | −19.9403 | + | 9.10641i | −0.764112 | + | 0.348958i | ||||
\(682\) | −28.9826 | − | 6.30478i | −1.10980 | − | 0.241423i | ||||
\(683\) | 5.37920 | + | 9.85128i | 0.205830 | + | 0.376949i | 0.960118 | − | 0.279594i | \(-0.0901999\pi\) |
−0.754289 | + | 0.656543i | \(0.772018\pi\) | |||||||
\(684\) | 0.165605 | + | 1.15181i | 0.00633207 | + | 0.0440405i | ||||
\(685\) | −9.55059 | − | 0.632261i | −0.364909 | − | 0.0241574i | ||||
\(686\) | −16.5540 | − | 2.38010i | −0.632033 | − | 0.0908726i | ||||
\(687\) | −0.830936 | − | 3.81975i | −0.0317022 | − | 0.145733i | ||||
\(688\) | 4.83979 | + | 0.346149i | 0.184515 | + | 0.0131968i | ||||
\(689\) | 0.592768 | 0.0225827 | ||||||||
\(690\) | −3.33976 | + | 10.1905i | −0.127143 | + | 0.387945i | ||||
\(691\) | 7.33264 | 0.278947 | 0.139473 | − | 0.990226i | \(-0.455459\pi\) | ||||
0.139473 | + | 0.990226i | \(0.455459\pi\) | |||||||
\(692\) | 2.63836 | + | 0.188699i | 0.100295 | + | 0.00717327i | ||||
\(693\) | 1.33695 | + | 6.14585i | 0.0507864 | + | 0.233461i | ||||
\(694\) | 23.2568 | + | 3.34382i | 0.882816 | + | 0.126930i | ||||
\(695\) | 29.5890 | + | 33.7844i | 1.12238 | + | 1.28152i | ||||
\(696\) | 0.352383 | + | 2.45088i | 0.0133570 | + | 0.0929002i | ||||
\(697\) | 4.08204 | + | 7.47571i | 0.154618 | + | 0.283163i | ||||
\(698\) | 5.28319 | + | 1.14929i | 0.199972 | + | 0.0435012i | ||||
\(699\) | −2.37990 | + | 1.08686i | −0.0900161 | + | 0.0411090i | ||||
\(700\) | −6.74541 | + | 1.54237i | −0.254953 | + | 0.0582959i | ||||
\(701\) | −30.4455 | − | 26.3812i | −1.14991 | − | 0.996402i | −0.999970 | − | 0.00770716i | \(-0.997547\pi\) |
−0.149939 | − | 0.988695i | \(-0.547908\pi\) | |||||||
\(702\) | −0.00852129 | − | 0.119143i | −0.000321615 | − | 0.00449677i | ||||
\(703\) | −0.786716 | − | 0.429579i | −0.0296715 | − | 0.0162019i | ||||
\(704\) | 1.88799 | + | 4.13412i | 0.0711562 | + | 0.155810i | ||||
\(705\) | 10.4966 | − | 1.56595i | 0.395323 | − | 0.0589771i | ||||
\(706\) | 23.9325 | + | 7.02722i | 0.900712 | + | 0.264473i | ||||
\(707\) | 2.68329 | − | 3.58446i | 0.100916 | − | 0.134807i | ||||
\(708\) | 0.890613 | − | 0.332181i | 0.0334713 | − | 0.0124841i | ||||
\(709\) | 1.11198 | − | 7.73396i | 0.0417611 | − | 0.290455i | −0.958229 | − | 0.286002i | \(-0.907674\pi\) |
0.999990 | − | 0.00445288i | \(-0.00141740\pi\) | |||||||
\(710\) | 17.2732 | + | 3.66186i | 0.648250 | + | 0.137427i | ||||
\(711\) | 8.88789 | − | 7.70140i | 0.333322 | − | 0.288825i | ||||
\(712\) | −6.01244 | − | 6.01244i | −0.225326 | − | 0.225326i | ||||
\(713\) | 25.6968 | + | 17.8682i | 0.962354 | + | 0.669170i | ||||
\(714\) | 4.46639i | 0.167150i | ||||||||
\(715\) | −1.06847 | − | 0.576106i | −0.0399586 | − | 0.0215452i | ||||
\(716\) | −13.8006 | − | 8.86909i | −0.515751 | − | 0.331453i | ||||
\(717\) | −1.89077 | − | 2.52577i | −0.0706120 | − | 0.0943266i | ||||
\(718\) | −0.141809 | − | 0.380205i | −0.00529227 | − | 0.0141891i | ||||
\(719\) | −40.9483 | + | 5.88748i | −1.52711 | + | 0.219566i | −0.854118 | − | 0.520080i | \(-0.825902\pi\) |
−0.672996 | + | 0.739646i | \(0.734993\pi\) | |||||||
\(720\) | −1.45534 | + | 1.69764i | −0.0542375 | + | 0.0632672i | ||||
\(721\) | 14.6234 | − | 9.39786i | 0.544602 | − | 0.349995i | ||||
\(722\) | 16.5333 | + | 6.16661i | 0.615307 | + | 0.229498i | ||||
\(723\) | −2.47815 | + | 4.53840i | −0.0921636 | + | 0.168785i | ||||
\(724\) | 0.153188 | − | 0.176789i | 0.00569320 | − | 0.00657030i | ||||
\(725\) | 0.131107 | + | 12.3797i | 0.00486920 | + | 0.459771i | ||||
\(726\) | 9.26432 | − | 2.72025i | 0.343831 | − | 0.100958i | ||||
\(727\) | −2.88554 | + | 7.73645i | −0.107019 | + | 0.286929i | −0.979411 | − | 0.201879i | \(-0.935295\pi\) |
0.872392 | + | 0.488808i | \(0.162568\pi\) | |||||||
\(728\) | −0.0351378 | + | 0.161526i | −0.00130229 | + | 0.00598655i | ||||
\(729\) | −0.281733 | + | 0.959493i | −0.0104345 | + | 0.0355368i | ||||
\(730\) | 6.89218 | − | 23.9408i | 0.255091 | − | 0.886090i | ||||
\(731\) | 6.50532 | − | 14.2447i | 0.240608 | − | 0.526858i | ||||
\(732\) | 10.2130 | − | 7.64538i | 0.377485 | − | 0.282582i | ||||
\(733\) | −17.6317 | + | 3.83554i | −0.651241 | + | 0.141669i | −0.526036 | − | 0.850462i | \(-0.676322\pi\) |
−0.125205 | + | 0.992131i | \(0.539959\pi\) | |||||||
\(734\) | 7.37184 | + | 8.50756i | 0.272100 | + | 0.314020i | ||||
\(735\) | −10.6319 | + | 4.02976i | −0.392165 | + | 0.148640i | ||||
\(736\) | −0.167829 | − | 4.79289i | −0.00618625 | − | 0.176668i | ||||
\(737\) | −46.4655 | + | 46.4655i | −1.71158 | + | 1.71158i | ||||
\(738\) | 0.188275 | − | 2.63243i | 0.00693050 | − | 0.0969011i | ||||
\(739\) | 18.2046 | − | 28.3269i | 0.669668 | − | 1.04202i | −0.325662 | − | 0.945486i | \(-0.605587\pi\) |
0.995329 | − | 0.0965368i | \(-0.0307765\pi\) | |||||||
\(740\) | −0.375037 | − | 1.68111i | −0.0137866 | − | 0.0617989i | ||||
\(741\) | 0.126435 | + | 0.0577409i | 0.00464470 | + | 0.00212116i | ||||
\(742\) | 5.49789 | + | 4.11567i | 0.201834 | + | 0.151091i | ||||
\(743\) | −9.99610 | + | 5.45829i | −0.366722 | + | 0.200245i | −0.652034 | − | 0.758189i | \(-0.726084\pi\) |
0.285313 | + | 0.958434i | \(0.407902\pi\) | |||||||
\(744\) | 3.52833 | + | 5.49019i | 0.129355 | + | 0.201280i | ||||
\(745\) | 0.206970 | + | 39.0870i | 0.00758279 | + | 1.43204i | ||||
\(746\) | 3.47462 | + | 11.8335i | 0.127215 | + | 0.433254i | ||||
\(747\) | −1.45953 | + | 0.104387i | −0.0534013 | + | 0.00381933i | ||||
\(748\) | 14.6306 | − | 1.04640i | 0.534946 | − | 0.0382601i | ||||
\(749\) | 7.88122 | + | 26.8410i | 0.287974 | + | 0.980748i | ||||
\(750\) | −8.33217 | + | 7.45486i | −0.304248 | + | 0.272213i | ||||
\(751\) | −10.7969 | − | 16.8003i | −0.393984 | − | 0.613050i | 0.586430 | − | 0.810000i | \(-0.300533\pi\) |
−0.980414 | + | 0.196949i | \(0.936897\pi\) | |||||||
\(752\) | −4.16560 | + | 2.27459i | −0.151904 | + | 0.0829458i | ||||
\(753\) | 23.7239 | + | 17.7595i | 0.864548 | + | 0.647193i | ||||
\(754\) | 0.269034 | + | 0.122864i | 0.00979765 | + | 0.00447444i | ||||
\(755\) | −0.390946 | + | 0.615465i | −0.0142280 | + | 0.0223991i | ||||
\(756\) | 0.748193 | − | 1.16421i | 0.0272115 | − | 0.0423419i | ||||
\(757\) | −3.21564 | + | 44.9605i | −0.116874 | + | 1.63412i | 0.513687 | + | 0.857978i | \(0.328279\pi\) |
−0.630561 | + | 0.776139i | \(0.717175\pi\) | |||||||
\(758\) | −18.8518 | + | 18.8518i | −0.684728 | + | 0.684728i | ||||
\(759\) | −21.6697 | − | 2.34504i | −0.786560 | − | 0.0851194i | ||||
\(760\) | −0.922205 | − | 2.43310i | −0.0334519 | − | 0.0882579i | ||||
\(761\) | −34.5379 | − | 39.8588i | −1.25200 | − | 1.44488i | −0.847892 | − | 0.530170i | \(-0.822128\pi\) |
−0.404106 | − | 0.914712i | \(-0.632417\pi\) | |||||||
\(762\) | 15.8546 | − | 3.44896i | 0.574352 | − | 0.124943i | ||||
\(763\) | 5.39265 | − | 4.03689i | 0.195227 | − | 0.146145i | ||||
\(764\) | −2.42152 | + | 5.30240i | −0.0876077 | + | 0.191834i | ||||
\(765\) | 3.49207 | + | 6.31552i | 0.126256 | + | 0.228338i | ||||
\(766\) | −0.908792 | + | 3.09506i | −0.0328360 | + | 0.111829i | ||||
\(767\) | 0.0241347 | − | 0.110946i | 0.000871454 | − | 0.00400601i | ||||
\(768\) | 0.349464 | − | 0.936950i | 0.0126102 | − | 0.0338093i | ||||
\(769\) | 13.5328 | − | 3.97358i | 0.488004 | − | 0.143291i | −0.0284687 | − | 0.999595i | \(-0.509063\pi\) |
0.516472 | + | 0.856304i | \(0.327245\pi\) | |||||||
\(770\) | −5.91003 | − | 12.7619i | −0.212983 | − | 0.459907i | ||||
\(771\) | −5.88826 | + | 6.79542i | −0.212061 | + | 0.244731i | ||||
\(772\) | −1.13154 | + | 2.07227i | −0.0407251 | + | 0.0745825i | ||||
\(773\) | −22.9052 | − | 8.54320i | −0.823843 | − | 0.307278i | −0.0980420 | − | 0.995182i | \(-0.531258\pi\) |
−0.725801 | + | 0.687905i | \(0.758531\pi\) | |||||||
\(774\) | −4.08189 | + | 2.62327i | −0.146721 | + | 0.0942916i | ||||
\(775\) | 13.8690 | + | 29.5370i | 0.498189 | + | 1.06100i | ||||
\(776\) | 13.9053 | − | 1.99928i | 0.499172 | − | 0.0717700i | ||||
\(777\) | 0.372534 | + | 0.998802i | 0.0133646 | + | 0.0358318i | ||||
\(778\) | 2.93064 | + | 3.91487i | 0.105068 | + | 0.140355i | ||||
\(779\) | 2.58354 | + | 1.66034i | 0.0925650 | + | 0.0594879i | ||||
\(780\) | 0.0766047 | + | 0.255872i | 0.00274289 | + | 0.00916168i | ||||
\(781\) | 35.8881i | 1.28418i | ||||||||
\(782\) | −14.6825 | − | 4.89821i | −0.525046 | − | 0.175159i | ||||
\(783\) | −1.75085 | − | 1.75085i | −0.0625704 | − | 0.0625704i | ||||
\(784\) | 3.84285 | − | 3.32985i | 0.137245 | − | 0.118923i | ||||
\(785\) | 7.48689 | − | 35.3159i | 0.267219 | − | 1.26048i | ||||
\(786\) | 1.66640 | − | 11.5900i | 0.0594384 | − | 0.413403i | ||||
\(787\) | −19.8583 | + | 7.40676i | −0.707871 | + | 0.264022i | −0.677507 | − | 0.735516i | \(-0.736940\pi\) |
−0.0303647 | + | 0.999539i | \(0.509667\pi\) | |||||||
\(788\) | 1.70339 | − | 2.27547i | 0.0606808 | − | 0.0810601i | ||||
\(789\) | −7.30999 | − | 2.14641i | −0.260243 | − | 0.0764141i | ||||
\(790\) | −15.6475 | + | 21.1350i | −0.556713 | + | 0.751948i | ||||
\(791\) | 4.06644 | + | 8.90427i | 0.144586 | + | 0.316599i | ||||
\(792\) | −3.98890 | − | 2.17810i | −0.141739 | − | 0.0773955i | ||||
\(793\) | −0.108712 | − | 1.51999i | −0.00386047 | − | 0.0539764i | ||||
\(794\) | 8.49471 | + | 7.36070i | 0.301466 | + | 0.261222i | ||||
\(795\) | 10.9919 | + | 1.52104i | 0.389844 | + | 0.0539457i | ||||
\(796\) | −1.51839 | + | 0.693423i | −0.0538177 | + | 0.0245777i | ||||
\(797\) | −43.0981 | − | 9.37542i | −1.52661 | − | 0.332094i | −0.630595 | − | 0.776112i | \(-0.717189\pi\) |
−0.896018 | + | 0.444017i | \(0.853553\pi\) | |||||||
\(798\) | 0.771773 | + | 1.41340i | 0.0273205 | + | 0.0500337i | ||||
\(799\) | 2.17994 | + | 15.1618i | 0.0771206 | + | 0.536386i | ||||
\(800\) | 2.34964 | − | 4.41352i | 0.0830722 | − | 0.156042i | ||||
\(801\) | 8.41633 | + | 1.21008i | 0.297376 | + | 0.0427562i | ||||
\(802\) | 3.52562 | + | 16.2070i | 0.124494 | + | 0.572290i | ||||
\(803\) | 50.5072 | + | 3.61234i | 1.78236 | + | 0.127477i | ||||
\(804\) | 14.4587 | 0.509919 | ||||||||
\(805\) | 0.597871 | + | 14.8286i | 0.0210722 | + | 0.522640i | ||||
\(806\) | 0.779539 | 0.0274581 | ||||||||
\(807\) | −20.1613 | − | 1.44197i | −0.709712 | − | 0.0507596i | ||||
\(808\) | 0.687745 | + | 3.16151i | 0.0241948 | + | 0.111222i | ||||
\(809\) | 53.2570 | + | 7.65720i | 1.87242 | + | 0.269213i | 0.982410 | − | 0.186735i | \(-0.0597905\pi\) |
0.890007 | + | 0.455948i | \(0.150700\pi\) | |||||||
\(810\) | 0.147707 | − | 2.23118i | 0.00518990 | − | 0.0783958i | ||||
\(811\) | −3.54828 | − | 24.6788i | −0.124597 | − | 0.866592i | −0.952243 | − | 0.305341i | \(-0.901230\pi\) |
0.827646 | − | 0.561250i | \(-0.189680\pi\) | |||||||
\(812\) | 1.64222 | + | 3.00750i | 0.0576305 | + | 0.105542i | ||||
\(813\) | −16.8728 | − | 3.67044i | −0.591753 | − | 0.128728i | ||||
\(814\) | 3.18450 | − | 1.45431i | 0.111617 | − | 0.0509736i | ||||
\(815\) | −2.23457 | − | 2.95232i | −0.0782736 | − | 0.103415i | ||||
\(816\) | −2.43910 | − | 2.11349i | −0.0853856 | − | 0.0739870i | ||||
\(817\) | −0.402797 | − | 5.63184i | −0.0140921 | − | 0.197033i | ||||
\(818\) | −20.1023 | − | 10.9767i | −0.702859 | − | 0.383790i | ||||
\(819\) | −0.0686696 | − | 0.150365i | −0.00239951 | − | 0.00525419i | ||||
\(820\) | 0.870765 | + | 5.83673i | 0.0304084 | + | 0.203828i | ||||
\(821\) | 10.5374 | + | 3.09407i | 0.367759 | + | 0.107984i | 0.460390 | − | 0.887717i | \(-0.347709\pi\) |
−0.0926309 | + | 0.995701i | \(0.529528\pi\) | |||||||
\(822\) | −2.56521 | + | 3.42672i | −0.0894719 | + | 0.119521i | ||||
\(823\) | −37.0640 | + | 13.8241i | −1.29197 | + | 0.481879i | −0.899111 | − | 0.437720i | \(-0.855786\pi\) |
−0.392857 | + | 0.919599i | \(0.628513\pi\) | |||||||
\(824\) | −1.78758 | + | 12.4329i | −0.0622733 | + | 0.433120i | ||||
\(825\) | −18.3348 | − | 13.4246i | −0.638335 | − | 0.467386i | ||||
\(826\) | 0.994158 | − | 0.861443i | 0.0345912 | − | 0.0299734i | ||||
\(827\) | −33.0073 | − | 33.0073i | −1.14778 | − | 1.14778i | −0.986989 | − | 0.160787i | \(-0.948597\pi\) |
−0.160787 | − | 0.986989i | \(-0.551403\pi\) | |||||||
\(828\) | 3.00663 | + | 3.73633i | 0.104488 | + | 0.129847i | ||||
\(829\) | 32.4035i | 1.12542i | 0.826655 | + | 0.562710i | \(0.190241\pi\) | ||||
−0.826655 | + | 0.562710i | \(0.809759\pi\) | |||||||
\(830\) | 3.13447 | − | 0.938421i | 0.108799 | − | 0.0325731i | ||||
\(831\) | 8.32945 | + | 5.35301i | 0.288945 | + | 0.185694i | ||||
\(832\) | −0.0715823 | − | 0.0956227i | −0.00248167 | − | 0.00331512i | ||||
\(833\) | −5.73495 | − | 15.3760i | −0.198704 | − | 0.532747i | ||||
\(834\) | 19.8799 | − | 2.85829i | 0.688384 | − | 0.0989746i | ||||
\(835\) | 5.22776 | − | 0.401730i | 0.180914 | − | 0.0139025i | ||||
\(836\) | 4.44905 | − | 2.85923i | 0.153874 | − | 0.0988887i | ||||
\(837\) | −6.11472 | − | 2.28067i | −0.211356 | − | 0.0788316i | ||||
\(838\) | 9.92897 | − | 18.1835i | 0.342990 | − | 0.628140i | ||||
\(839\) | 20.8449 | − | 24.0563i | 0.719646 | − | 0.830516i | −0.271618 | − | 0.962405i | \(-0.587559\pi\) |
0.991265 | + | 0.131889i | \(0.0421042\pi\) | |||||||
\(840\) | −1.06605 | + | 2.90507i | −0.0367821 | + | 0.100234i | ||||
\(841\) | −21.9427 | + | 6.44295i | −0.756644 | + | 0.222171i | ||||
\(842\) | 4.52008 | − | 12.1188i | 0.155772 | − | 0.417641i | ||||
\(843\) | −1.24988 | + | 5.74559i | −0.0430480 | + | 0.197889i | ||||
\(844\) | 7.35786 | − | 25.0586i | 0.253268 | − | 0.862551i | ||||
\(845\) | −27.9037 | − | 8.03302i | −0.959917 | − | 0.276344i | ||||
\(846\) | 1.97162 | − | 4.31726i | 0.0677859 | − | 0.148430i | ||||
\(847\) | 10.6970 | − | 8.00764i | 0.367552 | − | 0.275146i | ||||
\(848\) | −4.84917 | + | 1.05487i | −0.166521 | + | 0.0362245i | ||||
\(849\) | −14.6974 | − | 16.9617i | −0.504412 | − | 0.582123i | ||||
\(850\) | −10.6960 | − | 12.0829i | −0.366870 | − | 0.414440i | ||||
\(851\) | −3.69195 | + | 0.129278i | −0.126559 | + | 0.00443159i | ||||
\(852\) | 5.58365 | − | 5.58365i | 0.191293 | − | 0.191293i | ||||
\(853\) | −0.941411 | + | 13.1626i | −0.0322333 | + | 0.450680i | 0.955548 | + | 0.294835i | \(0.0952647\pi\) |
−0.987781 | + | 0.155845i | \(0.950190\pi\) | |||||||
\(854\) | 9.54520 | − | 14.8526i | 0.326630 | − | 0.508246i | ||||
\(855\) | 2.19637 | + | 1.39514i | 0.0751142 | + | 0.0477128i | ||||
\(856\) | −18.3873 | − | 8.39719i | −0.628464 | − | 0.287010i | ||||
\(857\) | −16.4070 | − | 12.2821i | −0.560453 | − | 0.419550i | 0.281136 | − | 0.959668i | \(-0.409289\pi\) |
−0.841589 | + | 0.540118i | \(0.818380\pi\) | |||||||
\(858\) | −0.476464 | + | 0.260169i | −0.0162662 | + | 0.00888203i | ||||
\(859\) | −16.9434 | − | 26.3645i | −0.578102 | − | 0.899544i | 0.421873 | − | 0.906655i | \(-0.361373\pi\) |
−0.999975 | + | 0.00711093i | \(0.997737\pi\) | |||||||
\(860\) | 7.63120 | − | 7.71245i | 0.260222 | − | 0.262992i | ||||
\(861\) | −1.02898 | − | 3.50438i | −0.0350675 | − | 0.119429i | ||||
\(862\) | −14.1648 | + | 1.01309i | −0.482455 | + | 0.0345059i | ||||
\(863\) | −20.9516 | + | 1.49848i | −0.713199 | + | 0.0510090i | −0.423224 | − | 0.906025i | \(-0.639102\pi\) |
−0.289975 | + | 0.957034i | \(0.593647\pi\) | |||||||
\(864\) | 0.281733 | + | 0.959493i | 0.00958474 | + | 0.0326426i | ||||
\(865\) | 4.16007 | − | 4.20436i | 0.141447 | − | 0.142952i | ||||
\(866\) | −13.4496 | − | 20.9280i | −0.457036 | − | 0.711162i | ||||
\(867\) | 5.77859 | − | 3.15535i | 0.196251 | − | 0.107161i | ||||
\(868\) | 7.23018 | + | 5.41244i | 0.245408 | + | 0.183710i | ||||
\(869\) | −48.6187 | − | 22.2034i | −1.64928 | − | 0.753199i | ||||
\(870\) | 4.67354 | + | 2.96865i | 0.158448 | + | 0.100647i | ||||
\(871\) | 0.933716 | − | 1.45289i | 0.0316378 | − | 0.0492293i | ||||
\(872\) | −0.347250 | + | 4.85519i | −0.0117594 | + | 0.164417i | ||||
\(873\) | −9.93365 | + | 9.93365i | −0.336203 | + | 0.336203i | ||||
\(874\) | −5.49271 | + | 0.987035i | −0.185794 | + | 0.0333869i | ||||
\(875\) | −7.19852 | + | 13.6959i | −0.243354 | + | 0.463007i | ||||
\(876\) | −7.29613 | − | 8.42019i | −0.246513 | − | 0.284492i | ||||
\(877\) | 30.9867 | − | 6.74075i | 1.04635 | − | 0.227619i | 0.343643 | − | 0.939100i | \(-0.388339\pi\) |
0.702705 | + | 0.711482i | \(0.251975\pi\) | |||||||
\(878\) | −5.47114 | + | 4.09564i | −0.184642 | + | 0.138221i | ||||
\(879\) | −7.71593 | + | 16.8955i | −0.260252 | + | 0.569872i | ||||
\(880\) | 9.76591 | + | 2.81145i | 0.329209 | + | 0.0947738i | ||||
\(881\) | −7.46357 | + | 25.4186i | −0.251454 | + | 0.856374i | 0.732924 | + | 0.680310i | \(0.238155\pi\) |
−0.984379 | + | 0.176064i | \(0.943663\pi\) | |||||||
\(882\) | −1.08086 | + | 4.96862i | −0.0363943 | + | 0.167302i | ||||
\(883\) | 20.3338 | − | 54.5170i | 0.684287 | − | 1.83464i | 0.151367 | − | 0.988478i | \(-0.451633\pi\) |
0.532920 | − | 0.846166i | \(-0.321095\pi\) | |||||||
\(884\) | −0.369889 | + | 0.108609i | −0.0124407 | + | 0.00365292i | ||||
\(885\) | 0.732225 | − | 1.99538i | 0.0246135 | − | 0.0670738i | ||||
\(886\) | 17.7748 | − | 20.5132i | 0.597156 | − | 0.689155i | ||||
\(887\) | −0.538425 | + | 0.986052i | −0.0180785 | + | 0.0331084i | −0.886562 | − | 0.462610i | \(-0.846913\pi\) |
0.868484 | + | 0.495718i | \(0.165095\pi\) | |||||||
\(888\) | −0.721730 | − | 0.269191i | −0.0242197 | − | 0.00903347i | ||||
\(889\) | 18.8898 | − | 12.1397i | 0.633544 | − | 0.407154i | ||||
\(890\) | −18.9571 | + | 1.45677i | −0.635444 | + | 0.0488311i | ||||
\(891\) | 4.49856 | − | 0.646796i | 0.150708 | − | 0.0216685i | ||||
\(892\) | 1.92150 | + | 5.15174i | 0.0643366 | + | 0.172493i | ||||
\(893\) | 3.30974 | + | 4.42129i | 0.110756 | + | 0.147953i | ||||
\(894\) | 14.7055 | + | 9.45067i | 0.491827 | + | 0.316078i | ||||
\(895\) | −35.1411 | + | 10.5208i | −1.17464 | + | 0.351671i | ||||
\(896\) | − | 1.38390i | − | 0.0462329i | ||||||
\(897\) | 0.569611 | − | 0.0608373i | 0.0190188 | − | 0.00203130i | ||||
\(898\) | −1.05637 | − | 1.05637i | −0.0352514 | − | 0.0352514i | ||||
\(899\) | 12.2125 | − | 10.5821i | 0.407308 | − | 0.352934i | ||||
\(900\) | 0.763945 | + | 4.94129i | 0.0254648 | + | 0.164710i | ||||
\(901\) | −2.27934 | + | 15.8532i | −0.0759359 | + | 0.528146i | ||||
\(902\) | −11.2382 | + | 4.19165i | −0.374192 | + | 0.139567i | ||||
\(903\) | −4.02409 | + | 5.37555i | −0.133913 | + | 0.178887i | ||||
\(904\) | −6.78687 | − | 1.99281i | −0.225728 | − | 0.0662797i | ||||
\(905\) | −0.0771814 | − | 0.517347i | −0.00256560 | − | 0.0171972i | ||||
\(906\) | 0.135458 | + | 0.296611i | 0.00450029 | + | 0.00985425i | ||||
\(907\) | 44.9100 | + | 24.5227i | 1.49121 | + | 0.814263i | 0.998437 | − | 0.0558943i | \(-0.0178010\pi\) |
0.492774 | + | 0.870157i | \(0.335983\pi\) | |||||||
\(908\) | −1.56384 | − | 21.8654i | −0.0518980 | − | 0.725628i | ||||
\(909\) | −2.44519 | − | 2.11877i | −0.0811019 | − | 0.0702752i | ||||
\(910\) | 0.223075 | + | 0.294727i | 0.00739485 | + | 0.00977010i | ||||
\(911\) | 34.5795 | − | 15.7919i | 1.14567 | − | 0.523209i | 0.250138 | − | 0.968210i | \(-0.419524\pi\) |
0.895530 | + | 0.445001i | \(0.146797\pi\) | |||||||
\(912\) | −1.13706 | − | 0.247352i | −0.0376518 | − | 0.00819065i | ||||
\(913\) | 3.18712 | + | 5.83677i | 0.105478 | + | 0.193169i | ||||
\(914\) | −5.79511 | − | 40.3059i | −0.191685 | − | 1.33320i | ||||
\(915\) | 1.88440 | − | 28.4647i | 0.0622963 | − | 0.941014i | ||||
\(916\) | 3.86930 | + | 0.556321i | 0.127845 | + | 0.0183814i | ||||
\(917\) | −3.44449 | − | 15.8341i | −0.113747 | − | 0.522887i | ||||
\(918\) | 3.21917 | + | 0.230239i | 0.106248 | + | 0.00759904i | ||||
\(919\) | 35.8078 | 1.18119 | 0.590596 | − | 0.806968i | \(-0.298893\pi\) | ||||
0.590596 | + | 0.806968i | \(0.298893\pi\) | |||||||
\(920\) | −8.38084 | − | 6.69040i | −0.276308 | − | 0.220576i | ||||
\(921\) | −16.2708 | −0.536141 | ||||||||
\(922\) | 26.8558 | + | 1.92077i | 0.884449 | + | 0.0632570i | ||||
\(923\) | −0.200495 | − | 0.921659i | −0.00659936 | − | 0.0303368i | ||||
\(924\) | −6.22556 | − | 0.895101i | −0.204806 | − | 0.0294467i | ||||
\(925\) | −3.39973 | − | 1.80992i | −0.111782 | − | 0.0595098i | ||||
\(926\) | −2.86550 | − | 19.9300i | −0.0941662 | − | 0.654940i | ||||
\(927\) | −6.01972 | − | 11.0243i | −0.197714 | − | 0.362086i | ||||
\(928\) | −2.41949 | − | 0.526328i | −0.0794237 | − | 0.0172776i | ||||
\(929\) | 43.7604 | − | 19.9847i | 1.43573 | − | 0.655677i | 0.462735 | − | 0.886496i | \(-0.346868\pi\) |
0.972997 | + | 0.230820i | \(0.0741408\pi\) | |||||||
\(930\) | 14.4553 | + | 2.00029i | 0.474008 | + | 0.0655921i | ||||
\(931\) | −4.47175 | − | 3.87479i | −0.146556 | − | 0.126991i | ||||
\(932\) | −0.186647 | − | 2.60967i | −0.00611383 | − | 0.0854825i | ||||
\(933\) | 16.7660 | + | 9.15492i | 0.548893 | + | 0.299718i | ||||
\(934\) | 0.607813 | + | 1.33092i | 0.0198882 | + | 0.0435492i | ||||
\(935\) | 19.5161 | − | 26.3602i | 0.638245 | − | 0.862072i | ||||
\(936\) | 0.114609 | + | 0.0336523i | 0.00374612 | + | 0.00109996i | ||||
\(937\) | 11.0916 | − | 14.8167i | 0.362347 | − | 0.484039i | −0.581908 | − | 0.813255i | \(-0.697693\pi\) |
0.944255 | + | 0.329216i | \(0.106784\pi\) | |||||||
\(938\) | 18.7478 | − | 6.99256i | 0.612137 | − | 0.228315i | ||||
\(939\) | 2.99878 | − | 20.8570i | 0.0978615 | − | 0.680642i | ||||
\(940\) | −2.20096 | + | 10.3820i | −0.0717873 | + | 0.338623i | ||||
\(941\) | 19.6085 | − | 16.9908i | 0.639218 | − | 0.553886i | −0.273809 | − | 0.961784i | \(-0.588284\pi\) |
0.913027 | + | 0.407898i | \(0.133738\pi\) | |||||||
\(942\) | −11.4161 | − | 11.4161i | −0.371956 | − | 0.371956i | ||||
\(943\) | 12.6486 | + | 0.460585i | 0.411894 | + | 0.0149987i | ||||
\(944\) | 0.950545i | 0.0309376i | ||||||||
\(945\) | −0.887529 | − | 2.96449i | −0.0288713 | − | 0.0964348i | ||||
\(946\) | 18.5515 | + | 11.9223i | 0.603161 | + | 0.387628i | ||||
\(947\) | 11.5690 | + | 15.4544i | 0.375942 | + | 0.502200i | 0.948113 | − | 0.317935i | \(-0.102989\pi\) |
−0.572170 | + | 0.820135i | \(0.693898\pi\) | |||||||
\(948\) | 4.10982 | + | 11.0189i | 0.133481 | + | 0.357876i | ||||
\(949\) | −1.31728 | + | 0.189396i | −0.0427607 | + | 0.00614806i | ||||
\(950\) | −5.47265 | − | 1.97543i | −0.177556 | − | 0.0640915i | ||||
\(951\) | −13.8030 | + | 8.87064i | −0.447593 | + | 0.287650i | ||||
\(952\) | −4.18478 | − | 1.56084i | −0.135630 | − | 0.0505872i | ||||
\(953\) | 2.91856 | − | 5.34494i | 0.0945414 | − | 0.173140i | −0.826128 | − | 0.563482i | \(-0.809461\pi\) |
0.920670 | + | 0.390342i | \(0.127643\pi\) | |||||||
\(954\) | 3.24980 | − | 3.75047i | 0.105216 | − | 0.121426i | ||||
\(955\) | 5.47740 | + | 11.8277i | 0.177244 | + | 0.382735i | ||||
\(956\) | 3.02728 | − | 0.888889i | 0.0979091 | − | 0.0287487i | ||||
\(957\) | −3.93264 | + | 10.5438i | −0.127124 | + | 0.340833i | ||||
\(958\) | −3.03621 | + | 13.9573i | −0.0980956 | + | 0.450938i | ||||
\(959\) | −1.66892 | + | 5.68383i | −0.0538924 | + | 0.183540i | ||||
\(960\) | −1.08201 | − | 1.95685i | −0.0349217 | − | 0.0631570i | ||||
\(961\) | 4.81520 | − | 10.5438i | 0.155329 | − | 0.340123i | ||||
\(962\) | −0.0736579 | + | 0.0551396i | −0.00237483 | + | 0.00177777i | ||||
\(963\) | 19.7520 | − | 4.29679i | 0.636500 | − | 0.138462i | ||||
\(964\) | −3.38623 | − | 3.90791i | −0.109063 | − | 0.125865i | ||||
\(965\) | 1.87117 | + | 4.93681i | 0.0602352 | + | 0.158922i | ||||
\(966\) | 5.70551 | + | 3.39062i | 0.183572 | + | 0.109091i | ||||
\(967\) | 27.8010 | − | 27.8010i | 0.894021 | − | 0.894021i | −0.100877 | − | 0.994899i | \(-0.532165\pi\) |
0.994899 | + | 0.100877i | \(0.0321650\pi\) | |||||||
\(968\) | −0.688810 | + | 9.63083i | −0.0221392 | + | 0.309547i | ||||
\(969\) | −2.03041 | + | 3.15938i | −0.0652262 | + | 0.101494i | ||||
\(970\) | 16.8430 | − | 26.5158i | 0.540795 | − | 0.851372i | ||||
\(971\) | 17.1325 | + | 7.82413i | 0.549807 | + | 0.251088i | 0.670894 | − | 0.741554i | \(-0.265911\pi\) |
−0.121087 | + | 0.992642i | \(0.538638\pi\) | |||||||
\(972\) | −0.800541 | − | 0.599278i | −0.0256774 | − | 0.0192218i | ||||
\(973\) | 24.3948 | − | 13.3206i | 0.782061 | − | 0.427038i | ||||
\(974\) | −4.70687 | − | 7.32403i | −0.150818 | − | 0.234677i | ||||
\(975\) | 0.545864 | + | 0.242335i | 0.0174816 | + | 0.00776092i | ||||
\(976\) | 3.59425 | + | 12.2409i | 0.115049 | + | 0.391821i | ||||
\(977\) | −46.6341 | + | 3.33534i | −1.49196 | + | 0.106707i | −0.793336 | − | 0.608784i | \(-0.791658\pi\) |
−0.698622 | + | 0.715491i | \(0.746203\pi\) | |||||||
\(978\) | −1.65165 | + | 0.118128i | −0.0528139 | + | 0.00377733i | ||||
\(979\) | −10.8873 | − | 37.0787i | −0.347959 | − | 1.18504i | ||||
\(980\) | −0.0602045 | − | 11.3698i | −0.00192316 | − | 0.363196i | ||||
\(981\) | −2.63162 | − | 4.09488i | −0.0840211 | − | 0.130739i | ||||
\(982\) | 20.4822 | − | 11.1841i | 0.653614 | − | 0.356900i | ||||
\(983\) | 4.13533 | + | 3.09567i | 0.131897 | + | 0.0987365i | 0.663189 | − | 0.748452i | \(-0.269203\pi\) |
−0.531292 | + | 0.847188i | \(0.678293\pi\) | |||||||
\(984\) | 2.40066 | + | 1.09634i | 0.0765302 | + | 0.0349502i | ||||
\(985\) | −1.38389 | − | 6.20333i | −0.0440945 | − | 0.197654i | ||||
\(986\) | −4.32041 | + | 6.72269i | −0.137590 | + | 0.214094i | ||||
\(987\) | 0.468571 | − | 6.55147i | 0.0149148 | − | 0.208536i | ||||
\(988\) | −0.0982847 | + | 0.0982847i | −0.00312685 | + | 0.00312685i | ||||
\(989\) | −13.2581 | − | 19.1238i | −0.421584 | − | 0.608102i | ||||
\(990\) | −9.50285 | + | 3.60181i | −0.302020 | + | 0.114473i | ||||
\(991\) | 16.2153 | + | 18.7135i | 0.515097 | + | 0.594454i | 0.952396 | − | 0.304862i | \(-0.0986104\pi\) |
−0.437299 | + | 0.899316i | \(0.644065\pi\) | |||||||
\(992\) | −6.37706 | + | 1.38724i | −0.202472 | + | 0.0440450i | ||||
\(993\) | −16.8901 | + | 12.6438i | −0.535992 | + | 0.401239i | ||||
\(994\) | 4.53962 | − | 9.94039i | 0.143988 | − | 0.315290i | ||||
\(995\) | −1.03259 | + | 3.58684i | −0.0327354 | + | 0.113710i | ||||
\(996\) | 0.412246 | − | 1.40398i | 0.0130625 | − | 0.0444869i | ||||
\(997\) | −3.34442 | + | 15.3740i | −0.105919 | + | 0.486901i | 0.893375 | + | 0.449313i | \(0.148331\pi\) |
−0.999293 | + | 0.0375881i | \(0.988033\pi\) | |||||||
\(998\) | −3.65730 | + | 9.80560i | −0.115770 | + | 0.310391i | ||||
\(999\) | 0.739095 | − | 0.217018i | 0.0233839 | − | 0.00686614i |
(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 | 690.2.w.a.493.12 | yes | 240 | |
5.2 | odd | 4 | inner | 690.2.w.a.217.4 | yes | 240 | |
23.7 | odd | 22 | inner | 690.2.w.a.283.4 | yes | 240 | |
115.7 | even | 44 | inner | 690.2.w.a.7.12 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.a.7.12 | ✓ | 240 | 115.7 | even | 44 | inner | |
690.2.w.a.217.4 | yes | 240 | 5.2 | odd | 4 | inner | |
690.2.w.a.283.4 | yes | 240 | 23.7 | odd | 22 | inner | |
690.2.w.a.493.12 | yes | 240 | 1.1 | even | 1 | trivial |