Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [170,2,Mod(3,170)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(170, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([12, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("170.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 170 = 2 \cdot 5 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 170.o (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.35745683436\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 63.2 | ||
Character | \(\chi\) | \(=\) | 170.63 |
Dual form | 170.2.o.a.27.2 |
$q$-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 \(\left(\mathbb{Z}/170\mathbb{Z}\right)^\times\).
\(n\) | \(71\) | \(137\) |
\(\chi(n)\) | \(e\left(\frac{13}{16}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.923880 | + | 0.382683i | 0.653281 | + | 0.270598i | ||||
\(3\) | 0.0811867 | + | 0.0161490i | 0.0468732 | + | 0.00932365i | 0.218471 | − | 0.975843i | \(-0.429893\pi\) |
−0.171598 | + | 0.985167i | \(0.554893\pi\) | |||||||
\(4\) | 0.707107 | + | 0.707107i | 0.353553 | + | 0.353553i | ||||
\(5\) | 1.07264 | + | 1.96200i | 0.479698 | + | 0.877434i | ||||
\(6\) | 0.0688268 | + | 0.0459886i | 0.0280984 | + | 0.0187748i | ||||
\(7\) | 0.143301 | − | 0.214466i | 0.0541629 | − | 0.0810605i | −0.803400 | − | 0.595440i | \(-0.796978\pi\) |
0.857563 | + | 0.514380i | \(0.171978\pi\) | |||||||
\(8\) | 0.382683 | + | 0.923880i | 0.135299 | + | 0.326641i | ||||
\(9\) | −2.76531 | − | 1.14543i | −0.921769 | − | 0.381809i | ||||
\(10\) | 0.240162 | + | 2.22313i | 0.0759459 | + | 0.703017i | ||||
\(11\) | 0.818144 | − | 1.22444i | 0.246680 | − | 0.369182i | −0.687381 | − | 0.726297i | \(-0.741240\pi\) |
0.934060 | + | 0.357115i | \(0.116240\pi\) | |||||||
\(12\) | 0.0459886 | + | 0.0688268i | 0.0132758 | + | 0.0198686i | ||||
\(13\) | − | 0.161672i | − | 0.0448397i | −0.999749 | − | 0.0224199i | \(-0.992863\pi\) | ||
0.999749 | − | 0.0224199i | \(-0.00713707\pi\) | |||||||
\(14\) | 0.214466 | − | 0.143301i | 0.0573184 | − | 0.0382989i | ||||
\(15\) | 0.0553994 | + | 0.176610i | 0.0143041 | + | 0.0456006i | ||||
\(16\) | 1.00000i | 0.250000i | ||||||||
\(17\) | 4.08463 | − | 0.561984i | 0.990667 | − | 0.136301i | ||||
\(18\) | −2.11648 | − | 2.11648i | −0.498858 | − | 0.498858i | ||||
\(19\) | −1.05460 | + | 0.436830i | −0.241942 | + | 0.100216i | −0.500360 | − | 0.865818i | \(-0.666799\pi\) |
0.258418 | + | 0.966033i | \(0.416799\pi\) | |||||||
\(20\) | −0.628876 | + | 2.14581i | −0.140621 | + | 0.479818i | ||||
\(21\) | 0.0150976 | − | 0.0150976i | 0.00329456 | − | 0.00329456i | ||||
\(22\) | 1.22444 | − | 0.818144i | 0.261051 | − | 0.174429i | ||||
\(23\) | −1.45697 | − | 7.32467i | −0.303799 | − | 1.52730i | −0.767349 | − | 0.641229i | \(-0.778425\pi\) |
0.463551 | − | 0.886070i | \(-0.346575\pi\) | |||||||
\(24\) | 0.0161490 | + | 0.0811867i | 0.00329641 | + | 0.0165722i | ||||
\(25\) | −2.69890 | + | 4.20903i | −0.539780 | + | 0.841806i | ||||
\(26\) | 0.0618692 | − | 0.149365i | 0.0121335 | − | 0.0292930i | ||||
\(27\) | −0.412489 | − | 0.275616i | −0.0793835 | − | 0.0530424i | ||||
\(28\) | 0.252980 | − | 0.0503208i | 0.0478087 | − | 0.00950973i | ||||
\(29\) | −5.25145 | − | 1.04458i | −0.975170 | − | 0.193973i | −0.318311 | − | 0.947986i | \(-0.603116\pi\) |
−0.656860 | + | 0.754013i | \(0.728116\pi\) | |||||||
\(30\) | −0.0164035 | + | 0.184367i | −0.00299486 | + | 0.0336607i | ||||
\(31\) | −4.63969 | − | 6.94378i | −0.833312 | − | 1.24714i | −0.966658 | − | 0.256070i | \(-0.917572\pi\) |
0.133346 | − | 0.991070i | \(-0.457428\pi\) | |||||||
\(32\) | −0.382683 | + | 0.923880i | −0.0676495 | + | 0.163320i | ||||
\(33\) | 0.0861960 | − | 0.0861960i | 0.0150048 | − | 0.0150048i | ||||
\(34\) | 3.98876 | + | 1.04391i | 0.684068 | + | 0.179030i | ||||
\(35\) | 0.574493 | + | 0.0511137i | 0.0971070 | + | 0.00863979i | ||||
\(36\) | −1.14543 | − | 2.76531i | −0.190905 | − | 0.460885i | ||||
\(37\) | −1.08861 | + | 5.47282i | −0.178967 | + | 0.899726i | 0.782046 | + | 0.623221i | \(0.214176\pi\) |
−0.961012 | + | 0.276505i | \(0.910824\pi\) | |||||||
\(38\) | −1.14149 | −0.185175 | ||||||||
\(39\) | 0.00261085 | − | 0.0131256i | 0.000418070 | − | 0.00210178i | ||||
\(40\) | −1.40217 | + | 1.74181i | −0.221703 | + | 0.275405i | ||||
\(41\) | −5.60719 | + | 1.11534i | −0.875697 | + | 0.174187i | −0.612419 | − | 0.790533i | \(-0.709803\pi\) |
−0.263277 | + | 0.964720i | \(0.584803\pi\) | |||||||
\(42\) | 0.0197260 | − | 0.00817076i | 0.00304378 | − | 0.00126078i | ||||
\(43\) | 1.92666 | − | 0.798049i | 0.293813 | − | 0.121701i | −0.230908 | − | 0.972976i | \(-0.574170\pi\) |
0.524721 | + | 0.851274i | \(0.324170\pi\) | |||||||
\(44\) | 1.44433 | − | 0.287294i | 0.217740 | − | 0.0433112i | ||||
\(45\) | −0.718840 | − | 6.65417i | −0.107158 | − | 0.991945i | ||||
\(46\) | 1.45697 | − | 7.32467i | 0.214818 | − | 1.07996i | ||||
\(47\) | 9.14279 | 1.33361 | 0.666806 | − | 0.745231i | \(-0.267661\pi\) | ||||
0.666806 | + | 0.745231i | \(0.267661\pi\) | |||||||
\(48\) | −0.0161490 | + | 0.0811867i | −0.00233091 | + | 0.0117183i | ||||
\(49\) | 2.65332 | + | 6.40569i | 0.379046 | + | 0.915099i | ||||
\(50\) | −4.10418 | + | 2.85581i | −0.580419 | + | 0.403873i | ||||
\(51\) | 0.340693 | + | 0.0203372i | 0.0477065 | + | 0.00284778i | ||||
\(52\) | 0.114319 | − | 0.114319i | 0.0158532 | − | 0.0158532i | ||||
\(53\) | 0.350113 | − | 0.845248i | 0.0480917 | − | 0.116104i | −0.898008 | − | 0.439979i | \(-0.854986\pi\) |
0.946100 | + | 0.323875i | \(0.104986\pi\) | |||||||
\(54\) | −0.275616 | − | 0.412489i | −0.0375066 | − | 0.0561326i | ||||
\(55\) | 3.27992 | + | 0.291821i | 0.442265 | + | 0.0393492i | ||||
\(56\) | 0.252980 | + | 0.0503208i | 0.0338058 | + | 0.00672440i | ||||
\(57\) | −0.0926740 | + | 0.0184340i | −0.0122750 | + | 0.00244164i | ||||
\(58\) | −4.45197 | − | 2.97471i | −0.584572 | − | 0.390598i | ||||
\(59\) | 0.837319 | − | 2.02147i | 0.109010 | − | 0.263173i | −0.859956 | − | 0.510368i | \(-0.829509\pi\) |
0.968966 | + | 0.247196i | \(0.0795090\pi\) | |||||||
\(60\) | −0.0857092 | + | 0.164056i | −0.0110650 | + | 0.0211795i | ||||
\(61\) | 0.778223 | + | 3.91239i | 0.0996413 | + | 0.500931i | 0.998086 | + | 0.0618436i | \(0.0196980\pi\) |
−0.898445 | + | 0.439087i | \(0.855302\pi\) | |||||||
\(62\) | −1.62924 | − | 8.19075i | −0.206914 | − | 1.04023i | ||||
\(63\) | −0.641928 | + | 0.428923i | −0.0808753 | + | 0.0540392i | ||||
\(64\) | −0.707107 | + | 0.707107i | −0.0883883 | + | 0.0883883i | ||||
\(65\) | 0.317201 | − | 0.173415i | 0.0393439 | − | 0.0215095i | ||||
\(66\) | 0.112620 | − | 0.0466489i | 0.0138626 | − | 0.00574209i | ||||
\(67\) | 8.09542 | + | 8.09542i | 0.989013 | + | 0.989013i | 0.999940 | − | 0.0109277i | \(-0.00347846\pi\) |
−0.0109277 | + | 0.999940i | \(0.503478\pi\) | |||||||
\(68\) | 3.28565 | + | 2.49088i | 0.398444 | + | 0.302064i | ||||
\(69\) | − | 0.618195i | − | 0.0744219i | ||||||
\(70\) | 0.511202 | + | 0.267072i | 0.0611003 | + | 0.0319212i | ||||
\(71\) | −8.03206 | + | 5.36685i | −0.953230 | + | 0.636928i | −0.931850 | − | 0.362844i | \(-0.881806\pi\) |
−0.0213797 | + | 0.999771i | \(0.506806\pi\) | |||||||
\(72\) | − | 2.99315i | − | 0.352746i | ||||||
\(73\) | 1.72842 | + | 2.58676i | 0.202296 | + | 0.302757i | 0.918721 | − | 0.394907i | \(-0.129223\pi\) |
−0.716426 | + | 0.697664i | \(0.754223\pi\) | |||||||
\(74\) | −3.10010 | + | 4.63963i | −0.360380 | + | 0.539346i | ||||
\(75\) | −0.287087 | + | 0.298133i | −0.0331499 | + | 0.0344254i | ||||
\(76\) | −1.05460 | − | 0.436830i | −0.120971 | − | 0.0501079i | ||||
\(77\) | −0.145359 | − | 0.350928i | −0.0165652 | − | 0.0399920i | ||||
\(78\) | 0.00743506 | − | 0.0111274i | 0.000841855 | − | 0.00125993i | ||||
\(79\) | −0.595727 | − | 0.398052i | −0.0670245 | − | 0.0447844i | 0.521607 | − | 0.853186i | \(-0.325333\pi\) |
−0.588631 | + | 0.808402i | \(0.700333\pi\) | |||||||
\(80\) | −1.96200 | + | 1.07264i | −0.219358 | + | 0.119924i | ||||
\(81\) | 6.32039 | + | 6.32039i | 0.702265 | + | 0.702265i | ||||
\(82\) | −5.60719 | − | 1.11534i | −0.619211 | − | 0.123169i | ||||
\(83\) | 2.66230 | + | 1.10276i | 0.292225 | + | 0.121044i | 0.523980 | − | 0.851731i | \(-0.324447\pi\) |
−0.231755 | + | 0.972774i | \(0.574447\pi\) | |||||||
\(84\) | 0.0213512 | 0.00232961 | ||||||||
\(85\) | 5.48393 | + | 7.41124i | 0.594816 | + | 0.803862i | ||||
\(86\) | 2.08540 | 0.224875 | ||||||||
\(87\) | −0.409479 | − | 0.169612i | −0.0439008 | − | 0.0181843i | ||||
\(88\) | 1.44433 | + | 0.287294i | 0.153966 | + | 0.0306257i | ||||
\(89\) | −9.97105 | − | 9.97105i | −1.05693 | − | 1.05693i | −0.998279 | − | 0.0586510i | \(-0.981320\pi\) |
−0.0586510 | − | 0.998279i | \(-0.518680\pi\) | |||||||
\(90\) | 1.88232 | − | 6.42274i | 0.198414 | − | 0.677016i | ||||
\(91\) | −0.0346731 | − | 0.0231678i | −0.00363473 | − | 0.00242865i | ||||
\(92\) | 4.14909 | − | 6.20956i | 0.432573 | − | 0.647391i | ||||
\(93\) | −0.264545 | − | 0.638669i | −0.0274321 | − | 0.0662269i | ||||
\(94\) | 8.44683 | + | 3.49879i | 0.871224 | + | 0.360873i | ||||
\(95\) | −1.98827 | − | 1.60057i | −0.203992 | − | 0.164215i | ||||
\(96\) | −0.0459886 | + | 0.0688268i | −0.00469369 | + | 0.00702460i | ||||
\(97\) | −1.95963 | − | 2.93279i | −0.198970 | − | 0.297780i | 0.718545 | − | 0.695480i | \(-0.244808\pi\) |
−0.917515 | + | 0.397700i | \(0.869808\pi\) | |||||||
\(98\) | 6.93347i | 0.700386i | ||||||||
\(99\) | −3.66493 | + | 2.44883i | −0.368339 | + | 0.246116i | ||||
\(100\) | −4.88464 | + | 1.06782i | −0.488464 | + | 0.106782i | ||||
\(101\) | 10.0952i | 1.00451i | 0.864720 | + | 0.502255i | \(0.167496\pi\) | ||||
−0.864720 | + | 0.502255i | \(0.832504\pi\) | |||||||
\(102\) | 0.306976 | + | 0.149167i | 0.0303952 | + | 0.0147697i | ||||
\(103\) | 4.16849 | + | 4.16849i | 0.410733 | + | 0.410733i | 0.881994 | − | 0.471261i | \(-0.156201\pi\) |
−0.471261 | + | 0.881994i | \(0.656201\pi\) | |||||||
\(104\) | 0.149365 | − | 0.0618692i | 0.0146465 | − | 0.00606677i | ||||
\(105\) | 0.0458157 | + | 0.0134273i | 0.00447116 | + | 0.00131037i | ||||
\(106\) | 0.646925 | − | 0.646925i | 0.0628349 | − | 0.0628349i | ||||
\(107\) | 9.89743 | − | 6.61325i | 0.956821 | − | 0.639327i | 0.0240168 | − | 0.999712i | \(-0.492354\pi\) |
0.932804 | + | 0.360384i | \(0.117354\pi\) | |||||||
\(108\) | −0.0967836 | − | 0.486564i | −0.00931300 | − | 0.0468196i | ||||
\(109\) | 2.67836 | + | 13.4650i | 0.256540 | + | 1.28971i | 0.867256 | + | 0.497863i | \(0.165882\pi\) |
−0.610716 | + | 0.791850i | \(0.709118\pi\) | |||||||
\(110\) | 2.91858 | + | 1.52478i | 0.278276 | + | 0.145382i | ||||
\(111\) | −0.176761 | + | 0.426740i | −0.0167775 | + | 0.0405044i | ||||
\(112\) | 0.214466 | + | 0.143301i | 0.0202651 | + | 0.0135407i | ||||
\(113\) | 10.6503 | − | 2.11848i | 1.00190 | − | 0.199290i | 0.333225 | − | 0.942847i | \(-0.391863\pi\) |
0.668672 | + | 0.743558i | \(0.266863\pi\) | |||||||
\(114\) | −0.0926740 | − | 0.0184340i | −0.00867972 | − | 0.00172650i | ||||
\(115\) | 12.8082 | − | 10.7153i | 1.19437 | − | 0.999206i | ||||
\(116\) | −2.97471 | − | 4.45197i | −0.276195 | − | 0.413355i | ||||
\(117\) | −0.185184 | + | 0.447073i | −0.0171202 | + | 0.0413319i | ||||
\(118\) | 1.54716 | − | 1.54716i | 0.142428 | − | 0.142428i | ||||
\(119\) | 0.464807 | − | 0.956546i | 0.0426088 | − | 0.0876864i | ||||
\(120\) | −0.141966 | + | 0.118768i | −0.0129597 | + | 0.0108420i | ||||
\(121\) | 3.37963 | + | 8.15914i | 0.307239 | + | 0.741740i | ||||
\(122\) | −0.778223 | + | 3.91239i | −0.0704570 | + | 0.354211i | ||||
\(123\) | −0.473241 | −0.0426707 | ||||||||
\(124\) | 1.62924 | − | 8.19075i | 0.146310 | − | 0.735551i | ||||
\(125\) | −11.1531 | − | 0.780481i | −0.997560 | − | 0.0698084i | ||||
\(126\) | −0.757206 | + | 0.150618i | −0.0674572 | + | 0.0134181i | ||||
\(127\) | −19.6721 | + | 8.14844i | −1.74561 | + | 0.723057i | −0.747333 | + | 0.664449i | \(0.768666\pi\) |
−0.998281 | + | 0.0586077i | \(0.981334\pi\) | |||||||
\(128\) | −0.923880 | + | 0.382683i | −0.0816602 | + | 0.0338248i | ||||
\(129\) | 0.169307 | − | 0.0336772i | 0.0149066 | − | 0.00296512i | ||||
\(130\) | 0.359418 | − | 0.0388275i | 0.0315231 | − | 0.00340539i | ||||
\(131\) | 3.85564 | − | 19.3836i | 0.336869 | − | 1.69355i | −0.326448 | − | 0.945215i | \(-0.605852\pi\) |
0.663317 | − | 0.748339i | \(-0.269148\pi\) | |||||||
\(132\) | 0.121900 | 0.0106100 | ||||||||
\(133\) | −0.0574408 | + | 0.288774i | −0.00498075 | + | 0.0250399i | ||||
\(134\) | 4.38121 | + | 10.5772i | 0.378479 | + | 0.913729i | ||||
\(135\) | 0.0983086 | − | 1.10494i | 0.00846106 | − | 0.0950981i | ||||
\(136\) | 2.08232 | + | 3.55864i | 0.178558 | + | 0.305151i | ||||
\(137\) | −7.11512 | + | 7.11512i | −0.607886 | + | 0.607886i | −0.942393 | − | 0.334507i | \(-0.891430\pi\) |
0.334507 | + | 0.942393i | \(0.391430\pi\) | |||||||
\(138\) | 0.236573 | − | 0.571137i | 0.0201384 | − | 0.0486184i | ||||
\(139\) | −1.94532 | − | 2.91137i | −0.165000 | − | 0.246939i | 0.739751 | − | 0.672880i | \(-0.234943\pi\) |
−0.904751 | + | 0.425941i | \(0.859943\pi\) | |||||||
\(140\) | 0.370085 | + | 0.442371i | 0.0312779 | + | 0.0373871i | ||||
\(141\) | 0.742273 | + | 0.147647i | 0.0625106 | + | 0.0124341i | ||||
\(142\) | −9.47446 | + | 1.88459i | −0.795079 | + | 0.158151i | ||||
\(143\) | −0.197958 | − | 0.132271i | −0.0165540 | − | 0.0110611i | ||||
\(144\) | 1.14543 | − | 2.76531i | 0.0954523 | − | 0.230442i | ||||
\(145\) | −3.58344 | − | 11.4238i | −0.297588 | − | 0.948696i | ||||
\(146\) | 0.606939 | + | 3.05129i | 0.0502306 | + | 0.252526i | ||||
\(147\) | 0.111969 | + | 0.562905i | 0.00923504 | + | 0.0464277i | ||||
\(148\) | −4.63963 | + | 3.10010i | −0.381375 | + | 0.254827i | ||||
\(149\) | 12.4645 | − | 12.4645i | 1.02114 | − | 1.02114i | 0.0213637 | − | 0.999772i | \(-0.493199\pi\) |
0.999772 | − | 0.0213637i | \(-0.00680079\pi\) | |||||||
\(150\) | −0.379324 | + | 0.165575i | −0.0309717 | + | 0.0135192i | ||||
\(151\) | −9.75368 | + | 4.04011i | −0.793743 | + | 0.328779i | −0.742447 | − | 0.669904i | \(-0.766335\pi\) |
−0.0512957 | + | 0.998684i | \(0.516335\pi\) | |||||||
\(152\) | −0.807157 | − | 0.807157i | −0.0654691 | − | 0.0654691i | ||||
\(153\) | −11.9390 | − | 3.12459i | −0.965208 | − | 0.252608i | ||||
\(154\) | − | 0.379842i | − | 0.0306085i | ||||||
\(155\) | 8.64701 | − | 16.5512i | 0.694544 | − | 1.32943i | ||||
\(156\) | 0.0111274 | − | 0.00743506i | 0.000890902 | − | 0.000595282i | ||||
\(157\) | − | 11.6606i | − | 0.930621i | −0.885148 | − | 0.465310i | \(-0.845943\pi\) | ||
0.885148 | − | 0.465310i | \(-0.154057\pi\) | |||||||
\(158\) | −0.398052 | − | 0.595727i | −0.0316673 | − | 0.0473935i | ||||
\(159\) | 0.0420745 | − | 0.0629689i | 0.00333672 | − | 0.00499376i | ||||
\(160\) | −2.22313 | + | 0.240162i | −0.175754 | + | 0.0189865i | ||||
\(161\) | −1.77968 | − | 0.737167i | −0.140258 | − | 0.0580969i | ||||
\(162\) | 3.42057 | + | 8.25798i | 0.268745 | + | 0.648809i | ||||
\(163\) | −7.01651 | + | 10.5010i | −0.549576 | + | 0.822498i | −0.997433 | − | 0.0716069i | \(-0.977187\pi\) |
0.447857 | + | 0.894105i | \(0.352187\pi\) | |||||||
\(164\) | −4.75355 | − | 3.17622i | −0.371190 | − | 0.248021i | ||||
\(165\) | 0.261574 | + | 0.0766596i | 0.0203635 | + | 0.00596794i | ||||
\(166\) | 2.03764 | + | 2.03764i | 0.158151 | + | 0.158151i | ||||
\(167\) | −21.9709 | − | 4.37027i | −1.70016 | − | 0.338182i | −0.752772 | − | 0.658282i | \(-0.771284\pi\) |
−0.947384 | + | 0.320100i | \(0.896284\pi\) | |||||||
\(168\) | 0.0197260 | + | 0.00817076i | 0.00152189 | + | 0.000630388i | ||||
\(169\) | 12.9739 | 0.997989 | ||||||||
\(170\) | 2.23034 | + | 8.94570i | 0.171059 | + | 0.686104i | ||||
\(171\) | 3.41666 | 0.261278 | ||||||||
\(172\) | 1.92666 | + | 0.798049i | 0.146906 | + | 0.0608507i | ||||
\(173\) | 2.84673 | + | 0.566249i | 0.216433 | + | 0.0430511i | 0.302116 | − | 0.953271i | \(-0.402307\pi\) |
−0.0856828 | + | 0.996322i | \(0.527307\pi\) | |||||||
\(174\) | −0.313402 | − | 0.313402i | −0.0237589 | − | 0.0237589i | ||||
\(175\) | 0.515937 | + | 1.18198i | 0.0390012 | + | 0.0893494i | ||||
\(176\) | 1.22444 | + | 0.818144i | 0.0922956 | + | 0.0616700i | ||||
\(177\) | 0.100624 | − | 0.150594i | 0.00756336 | − | 0.0113194i | ||||
\(178\) | −5.39630 | − | 13.0278i | −0.404469 | − | 0.976476i | ||||
\(179\) | −19.1493 | − | 7.93190i | −1.43129 | − | 0.592858i | −0.473618 | − | 0.880731i | \(-0.657052\pi\) |
−0.957669 | + | 0.287872i | \(0.907052\pi\) | |||||||
\(180\) | 4.19691 | − | 5.21350i | 0.312819 | − | 0.388592i | ||||
\(181\) | 4.78617 | − | 7.16300i | 0.355753 | − | 0.532422i | −0.609825 | − | 0.792536i | \(-0.708760\pi\) |
0.965578 | + | 0.260114i | \(0.0837602\pi\) | |||||||
\(182\) | −0.0231678 | − | 0.0346731i | −0.00171731 | − | 0.00257014i | ||||
\(183\) | 0.330202i | 0.0244092i | ||||||||
\(184\) | 6.20956 | − | 4.14909i | 0.457775 | − | 0.305875i | ||||
\(185\) | −11.9054 | + | 3.73449i | −0.875300 | + | 0.274565i | ||||
\(186\) | − | 0.691290i | − | 0.0506879i | ||||||
\(187\) | 2.65370 | − | 5.46116i | 0.194058 | − | 0.399360i | ||||
\(188\) | 6.46493 | + | 6.46493i | 0.471503 | + | 0.471503i | ||||
\(189\) | −0.118221 | + | 0.0489686i | −0.00859928 | + | 0.00356194i | ||||
\(190\) | −1.22441 | − | 2.23961i | −0.0888279 | − | 0.162478i | ||||
\(191\) | −3.35082 | + | 3.35082i | −0.242457 | + | 0.242457i | −0.817866 | − | 0.575409i | \(-0.804843\pi\) |
0.575409 | + | 0.817866i | \(0.304843\pi\) | |||||||
\(192\) | −0.0688268 | + | 0.0459886i | −0.00496714 | + | 0.00331894i | ||||
\(193\) | −0.121159 | − | 0.609107i | −0.00872121 | − | 0.0438445i | 0.976180 | − | 0.216964i | \(-0.0696154\pi\) |
−0.984901 | + | 0.173119i | \(0.944615\pi\) | |||||||
\(194\) | −0.688130 | − | 3.45946i | −0.0494048 | − | 0.248375i | ||||
\(195\) | 0.0285530 | − | 0.00895654i | 0.00204472 | − | 0.000641391i | ||||
\(196\) | −2.65332 | + | 6.40569i | −0.189523 | + | 0.457549i | ||||
\(197\) | −15.7938 | − | 10.5531i | −1.12526 | − | 0.751877i | −0.153573 | − | 0.988137i | \(-0.549078\pi\) |
−0.971690 | + | 0.236261i | \(0.924078\pi\) | |||||||
\(198\) | −4.32308 | + | 0.859914i | −0.307228 | + | 0.0611114i | ||||
\(199\) | −3.34817 | − | 0.665992i | −0.237345 | − | 0.0472110i | 0.0749842 | − | 0.997185i | \(-0.476109\pi\) |
−0.312330 | + | 0.949974i | \(0.601109\pi\) | |||||||
\(200\) | −4.92146 | − | 0.882731i | −0.348000 | − | 0.0624185i | ||||
\(201\) | 0.526507 | + | 0.787973i | 0.0371369 | + | 0.0555794i | ||||
\(202\) | −3.86327 | + | 9.32675i | −0.271818 | + | 0.656228i | ||||
\(203\) | −0.976567 | + | 0.976567i | −0.0685416 | + | 0.0685416i | ||||
\(204\) | 0.226526 | + | 0.255287i | 0.0158600 | + | 0.0178736i | ||||
\(205\) | −8.20278 | − | 9.80497i | −0.572907 | − | 0.684809i | ||||
\(206\) | 2.25597 | + | 5.44639i | 0.157181 | + | 0.379468i | ||||
\(207\) | −4.36092 | + | 21.9238i | −0.303105 | + | 1.52381i | ||||
\(208\) | 0.161672 | 0.0112099 | ||||||||
\(209\) | −0.327944 | + | 1.64869i | −0.0226844 | + | 0.114042i | ||||
\(210\) | 0.0371898 | + | 0.0299381i | 0.00256634 | + | 0.00206592i | ||||
\(211\) | 15.9803 | − | 3.17868i | 1.10013 | − | 0.218829i | 0.388545 | − | 0.921430i | \(-0.372978\pi\) |
0.711585 | + | 0.702600i | \(0.247978\pi\) | |||||||
\(212\) | 0.845248 | − | 0.350113i | 0.0580518 | − | 0.0240459i | ||||
\(213\) | −0.738766 | + | 0.306007i | −0.0506194 | + | 0.0209672i | ||||
\(214\) | 11.6748 | − | 2.32226i | 0.798074 | − | 0.158747i | ||||
\(215\) | 3.63238 | + | 2.92409i | 0.247726 | + | 0.199422i | ||||
\(216\) | 0.0967836 | − | 0.486564i | 0.00658529 | − | 0.0331065i | ||||
\(217\) | −2.15408 | −0.146228 | ||||||||
\(218\) | −2.67836 | + | 13.4650i | −0.181401 | + | 0.911965i | ||||
\(219\) | 0.0985507 | + | 0.237922i | 0.00665944 | + | 0.0160773i | ||||
\(220\) | 2.11291 | + | 2.52561i | 0.142452 | + | 0.170276i | ||||
\(221\) | −0.0908570 | − | 0.660370i | −0.00611170 | − | 0.0444213i | ||||
\(222\) | −0.326613 | + | 0.326613i | −0.0219208 | + | 0.0219208i | ||||
\(223\) | −5.18342 | + | 12.5139i | −0.347108 | + | 0.837992i | 0.649851 | + | 0.760062i | \(0.274831\pi\) |
−0.996959 | + | 0.0779306i | \(0.975169\pi\) | |||||||
\(224\) | 0.143301 | + | 0.214466i | 0.00957473 | + | 0.0143296i | ||||
\(225\) | 12.2844 | − | 8.54787i | 0.818962 | − | 0.569858i | ||||
\(226\) | 10.6503 | + | 2.11848i | 0.708448 | + | 0.140919i | ||||
\(227\) | 18.5261 | − | 3.68507i | 1.22962 | − | 0.244587i | 0.462809 | − | 0.886458i | \(-0.346842\pi\) |
0.766813 | + | 0.641871i | \(0.221842\pi\) | |||||||
\(228\) | −0.0785652 | − | 0.0524956i | −0.00520311 | − | 0.00347661i | ||||
\(229\) | 1.16614 | − | 2.81531i | 0.0770608 | − | 0.186041i | −0.880654 | − | 0.473759i | \(-0.842897\pi\) |
0.957715 | + | 0.287718i | \(0.0928967\pi\) | |||||||
\(230\) | 15.9338 | − | 4.99814i | 1.05064 | − | 0.329568i | ||||
\(231\) | −0.00613408 | − | 0.0308381i | −0.000403593 | − | 0.00202900i | ||||
\(232\) | −1.04458 | − | 5.25145i | −0.0685800 | − | 0.344775i | ||||
\(233\) | 10.9134 | − | 7.29210i | 0.714961 | − | 0.477721i | −0.144121 | − | 0.989560i | \(-0.546035\pi\) |
0.859082 | + | 0.511839i | \(0.171035\pi\) | |||||||
\(234\) | −0.342175 | + | 0.342175i | −0.0223687 | + | 0.0223687i | ||||
\(235\) | 9.80689 | + | 17.9382i | 0.639731 | + | 1.17016i | ||||
\(236\) | 2.02147 | − | 0.837319i | 0.131586 | − | 0.0545049i | ||||
\(237\) | −0.0419370 | − | 0.0419370i | −0.00272410 | − | 0.00272410i | ||||
\(238\) | 0.795480 | − | 0.705859i | 0.0515633 | − | 0.0457541i | ||||
\(239\) | 1.37887i | 0.0891917i | 0.999005 | + | 0.0445959i | \(0.0142000\pi\) | ||||
−0.999005 | + | 0.0445959i | \(0.985800\pi\) | |||||||
\(240\) | −0.176610 | + | 0.0553994i | −0.0114002 | + | 0.00357602i | ||||
\(241\) | 13.1768 | − | 8.80446i | 0.848792 | − | 0.567145i | −0.0533537 | − | 0.998576i | \(-0.516991\pi\) |
0.902146 | + | 0.431431i | \(0.141991\pi\) | |||||||
\(242\) | 8.83139i | 0.567703i | ||||||||
\(243\) | 1.23791 | + | 1.85267i | 0.0794121 | + | 0.118849i | ||||
\(244\) | −2.21619 | + | 3.31677i | −0.141877 | + | 0.212334i | ||||
\(245\) | −9.72192 | + | 12.0768i | −0.621111 | + | 0.771559i | ||||
\(246\) | −0.437218 | − | 0.181102i | −0.0278760 | − | 0.0115466i | ||||
\(247\) | 0.0706232 | + | 0.170500i | 0.00449365 | + | 0.0108486i | ||||
\(248\) | 4.63969 | − | 6.94378i | 0.294620 | − | 0.440930i | ||||
\(249\) | 0.198335 | + | 0.132523i | 0.0125690 | + | 0.00839831i | ||||
\(250\) | −10.0054 | − | 4.98916i | −0.632798 | − | 0.315542i | ||||
\(251\) | 18.9015 | + | 18.9015i | 1.19305 | + | 1.19305i | 0.976205 | + | 0.216849i | \(0.0695779\pi\) |
0.216849 | + | 0.976205i | \(0.430422\pi\) | |||||||
\(252\) | −0.757206 | − | 0.150618i | −0.0476995 | − | 0.00948801i | ||||
\(253\) | −10.1606 | − | 4.20867i | −0.638793 | − | 0.264597i | ||||
\(254\) | −21.2929 | −1.33604 | ||||||||
\(255\) | 0.325538 | + | 0.690254i | 0.0203860 | + | 0.0432254i | ||||
\(256\) | −1.00000 | −0.0625000 | ||||||||
\(257\) | 1.06724 | + | 0.442065i | 0.0665725 | + | 0.0275752i | 0.415721 | − | 0.909492i | \(-0.363529\pi\) |
−0.349149 | + | 0.937067i | \(0.613529\pi\) | |||||||
\(258\) | 0.169307 | + | 0.0336772i | 0.0105406 | + | 0.00209665i | ||||
\(259\) | 1.01773 | + | 1.01773i | 0.0632388 | + | 0.0632388i | ||||
\(260\) | 0.346918 | + | 0.101672i | 0.0215149 | + | 0.00630540i | ||||
\(261\) | 13.3254 | + | 8.90374i | 0.824821 | + | 0.551128i | ||||
\(262\) | 10.9799 | − | 16.4326i | 0.678343 | − | 1.01521i | ||||
\(263\) | 9.03645 | + | 21.8159i | 0.557212 | + | 1.34523i | 0.911965 | + | 0.410268i | \(0.134565\pi\) |
−0.354753 | + | 0.934960i | \(0.615435\pi\) | |||||||
\(264\) | 0.112620 | + | 0.0466489i | 0.00693131 | + | 0.00287104i | ||||
\(265\) | 2.03392 | − | 0.219722i | 0.124943 | − | 0.0134974i | ||||
\(266\) | −0.163578 | + | 0.244811i | −0.0100296 | + | 0.0150103i | ||||
\(267\) | −0.648494 | − | 0.970540i | −0.0396872 | − | 0.0593961i | ||||
\(268\) | 11.4486i | 0.699338i | ||||||||
\(269\) | 22.2827 | − | 14.8888i | 1.35860 | − | 0.907789i | 0.358929 | − | 0.933365i | \(-0.383142\pi\) |
0.999673 | + | 0.0255759i | \(0.00814196\pi\) | |||||||
\(270\) | 0.513668 | − | 0.983211i | 0.0312608 | − | 0.0598363i | ||||
\(271\) | − | 18.1071i | − | 1.09993i | −0.835189 | − | 0.549963i | \(-0.814642\pi\) | ||
0.835189 | − | 0.549963i | \(-0.185358\pi\) | |||||||
\(272\) | 0.561984 | + | 4.08463i | 0.0340753 | + | 0.247667i | ||||
\(273\) | −0.00244086 | − | 0.00244086i | −0.000147727 | − | 0.000147727i | ||||
\(274\) | −9.29635 | + | 3.85068i | −0.561613 | + | 0.232628i | ||||
\(275\) | 2.94562 | + | 6.74823i | 0.177627 | + | 0.406934i | ||||
\(276\) | 0.437130 | − | 0.437130i | 0.0263121 | − | 0.0263121i | ||||
\(277\) | −5.75784 | + | 3.84726i | −0.345955 | + | 0.231160i | −0.716392 | − | 0.697698i | \(-0.754208\pi\) |
0.370437 | + | 0.928857i | \(0.379208\pi\) | |||||||
\(278\) | −0.683104 | − | 3.43420i | −0.0409699 | − | 0.205969i | ||||
\(279\) | 4.87656 | + | 24.5161i | 0.291952 | + | 1.46774i | ||||
\(280\) | 0.172626 | + | 0.550322i | 0.0103164 | + | 0.0328881i | ||||
\(281\) | −5.02328 | + | 12.1273i | −0.299664 | + | 0.723452i | 0.700290 | + | 0.713858i | \(0.253054\pi\) |
−0.999954 | + | 0.00959390i | \(0.996946\pi\) | |||||||
\(282\) | 0.629268 | + | 0.420464i | 0.0374724 | + | 0.0250382i | ||||
\(283\) | −25.1331 | + | 4.99928i | −1.49401 | + | 0.297177i | −0.873423 | − | 0.486963i | \(-0.838105\pi\) |
−0.620585 | + | 0.784139i | \(0.713105\pi\) | |||||||
\(284\) | −9.47446 | − | 1.88459i | −0.562206 | − | 0.111830i | ||||
\(285\) | −0.135573 | − | 0.162054i | −0.00803066 | − | 0.00959922i | ||||
\(286\) | −0.132271 | − | 0.197958i | −0.00782135 | − | 0.0117055i | ||||
\(287\) | −0.564317 | + | 1.36238i | −0.0333106 | + | 0.0804188i | ||||
\(288\) | 2.11648 | − | 2.11648i | 0.124714 | − | 0.124714i | ||||
\(289\) | 16.3683 | − | 4.59099i | 0.962844 | − | 0.270058i | ||||
\(290\) | 1.06104 | − | 11.9255i | 0.0623063 | − | 0.700292i | ||||
\(291\) | −0.111734 | − | 0.269750i | −0.00654996 | − | 0.0158130i | ||||
\(292\) | −0.606939 | + | 3.05129i | −0.0355184 | + | 0.178563i | ||||
\(293\) | 12.0043 | 0.701296 | 0.350648 | − | 0.936507i | \(-0.385961\pi\) | ||||
0.350648 | + | 0.936507i | \(0.385961\pi\) | |||||||
\(294\) | −0.111969 | + | 0.562905i | −0.00653016 | + | 0.0328293i | ||||
\(295\) | 4.86426 | − | 0.525480i | 0.283208 | − | 0.0305946i | ||||
\(296\) | −5.47282 | + | 1.08861i | −0.318101 | + | 0.0632742i | ||||
\(297\) | −0.674951 | + | 0.279574i | −0.0391646 | + | 0.0162225i | ||||
\(298\) | 16.2857 | − | 6.74576i | 0.943406 | − | 0.390772i | ||||
\(299\) | −1.18419 | + | 0.235551i | −0.0684837 | + | 0.0136223i | ||||
\(300\) | −0.413812 | + | 0.00781083i | −0.0238915 | + | 0.000450958i | ||||
\(301\) | 0.104939 | − | 0.527564i | 0.00604859 | − | 0.0304083i | ||||
\(302\) | −10.5573 | −0.607505 | ||||||||
\(303\) | −0.163028 | + | 0.819596i | −0.00936570 | + | 0.0470846i | ||||
\(304\) | −0.436830 | − | 1.05460i | −0.0250539 | − | 0.0604856i | ||||
\(305\) | −6.84137 | + | 5.72345i | −0.391736 | + | 0.327724i | ||||
\(306\) | −9.83444 | − | 7.45559i | −0.562197 | − | 0.426208i | ||||
\(307\) | 9.12610 | − | 9.12610i | 0.520854 | − | 0.520854i | −0.396975 | − | 0.917829i | \(-0.629940\pi\) |
0.917829 | + | 0.396975i | \(0.129940\pi\) | |||||||
\(308\) | 0.145359 | − | 0.350928i | 0.00828261 | − | 0.0199960i | ||||
\(309\) | 0.271109 | + | 0.405743i | 0.0154228 | + | 0.0230819i | ||||
\(310\) | 14.3227 | − | 11.9823i | 0.813473 | − | 0.680547i | ||||
\(311\) | −11.7467 | − | 2.33656i | −0.666093 | − | 0.132494i | −0.149549 | − | 0.988754i | \(-0.547782\pi\) |
−0.516545 | + | 0.856260i | \(0.672782\pi\) | |||||||
\(312\) | 0.0131256 | − | 0.00261085i | 0.000743092 | − | 0.000147810i | ||||
\(313\) | −19.6609 | − | 13.1370i | −1.11130 | − | 0.742548i | −0.142354 | − | 0.989816i | \(-0.545467\pi\) |
−0.968947 | + | 0.247268i | \(0.920467\pi\) | |||||||
\(314\) | 4.46234 | − | 10.7730i | 0.251824 | − | 0.607957i | ||||
\(315\) | −1.53010 | − | 0.799385i | −0.0862115 | − | 0.0450403i | ||||
\(316\) | −0.139777 | − | 0.702708i | −0.00786309 | − | 0.0395304i | ||||
\(317\) | 2.46534 | + | 12.3941i | 0.138467 | + | 0.696123i | 0.986181 | + | 0.165669i | \(0.0529784\pi\) |
−0.847714 | + | 0.530454i | \(0.822022\pi\) | |||||||
\(318\) | 0.0629689 | − | 0.0420745i | 0.00353112 | − | 0.00235942i | ||||
\(319\) | −5.57547 | + | 5.57547i | −0.312166 | + | 0.312166i | ||||
\(320\) | −2.14581 | − | 0.628876i | −0.119955 | − | 0.0351552i | ||||
\(321\) | 0.910337 | − | 0.377074i | 0.0508101 | − | 0.0210462i | ||||
\(322\) | −1.36211 | − | 1.36211i | −0.0759072 | − | 0.0759072i | ||||
\(323\) | −4.06216 | + | 2.37696i | −0.226025 | + | 0.132257i | ||||
\(324\) | 8.93838i | 0.496577i | ||||||||
\(325\) | 0.680483 | + | 0.436336i | 0.0377464 | + | 0.0242036i | ||||
\(326\) | −10.5010 | + | 7.01651i | −0.581594 | + | 0.388609i | ||||
\(327\) | 1.13643i | 0.0628448i | ||||||||
\(328\) | −3.17622 | − | 4.75355i | −0.175377 | − | 0.262471i | ||||
\(329\) | 1.31017 | − | 1.96081i | 0.0722323 | − | 0.108103i | ||||
\(330\) | 0.212326 | + | 0.170924i | 0.0116882 | + | 0.00940906i | ||||
\(331\) | −21.4759 | − | 8.89562i | −1.18042 | − | 0.488947i | −0.295798 | − | 0.955250i | \(-0.595586\pi\) |
−0.884625 | + | 0.466303i | \(0.845586\pi\) | |||||||
\(332\) | 1.10276 | + | 2.66230i | 0.0605219 | + | 0.146113i | ||||
\(333\) | 9.27907 | − | 13.8871i | 0.508490 | − | 0.761009i | ||||
\(334\) | −18.6260 | − | 12.4455i | −1.01917 | − | 0.680987i | ||||
\(335\) | −7.19978 | + | 24.5667i | −0.393366 | + | 1.34222i | ||||
\(336\) | 0.0150976 | + | 0.0150976i | 0.000823641 | + | 0.000823641i | ||||
\(337\) | −8.60032 | − | 1.71071i | −0.468489 | − | 0.0931883i | −0.0448002 | − | 0.998996i | \(-0.514265\pi\) |
−0.423689 | + | 0.905808i | \(0.639265\pi\) | |||||||
\(338\) | 11.9863 | + | 4.96488i | 0.651968 | + | 0.270054i | ||||
\(339\) | 0.898874 | 0.0488202 | ||||||||
\(340\) | −1.36281 | + | 9.11826i | −0.0739087 | + | 0.494507i | ||||
\(341\) | −12.2982 | −0.665983 | ||||||||
\(342\) | 3.15658 | + | 1.30750i | 0.170688 | + | 0.0707014i | ||||
\(343\) | 3.52488 | + | 0.701143i | 0.190326 | + | 0.0378582i | ||||
\(344\) | 1.47460 | + | 1.47460i | 0.0795052 | + | 0.0795052i | ||||
\(345\) | 1.21290 | − | 0.663098i | 0.0653003 | − | 0.0357000i | ||||
\(346\) | 2.41334 | + | 1.61254i | 0.129742 | + | 0.0866908i | ||||
\(347\) | 16.5415 | − | 24.7561i | 0.887994 | − | 1.32898i | −0.0557991 | − | 0.998442i | \(-0.517771\pi\) |
0.943794 | − | 0.330536i | \(-0.107229\pi\) | |||||||
\(348\) | −0.169612 | − | 0.409479i | −0.00909215 | − | 0.0219504i | ||||
\(349\) | −22.4816 | − | 9.31217i | −1.20341 | − | 0.498469i | −0.311311 | − | 0.950308i | \(-0.600768\pi\) |
−0.892100 | + | 0.451839i | \(0.850768\pi\) | |||||||
\(350\) | 0.0243387 | + | 1.28945i | 0.00130096 | + | 0.0689240i | ||||
\(351\) | −0.0445594 | + | 0.0666879i | −0.00237841 | + | 0.00355954i | ||||
\(352\) | 0.818144 | + | 1.22444i | 0.0436072 | + | 0.0652629i | ||||
\(353\) | − | 17.3482i | − | 0.923354i | −0.887048 | − | 0.461677i | \(-0.847248\pi\) | ||
0.887048 | − | 0.461677i | \(-0.152752\pi\) | |||||||
\(354\) | 0.150594 | − | 0.100624i | 0.00800400 | − | 0.00534810i | ||||
\(355\) | −19.1452 | − | 10.0022i | −1.01612 | − | 0.530863i | ||||
\(356\) | − | 14.1012i | − | 0.747362i | ||||||
\(357\) | 0.0531834 | − | 0.0701526i | 0.00281476 | − | 0.00371287i | ||||
\(358\) | −14.6562 | − | 14.6562i | −0.774607 | − | 0.774607i | ||||
\(359\) | −1.73489 | + | 0.718614i | −0.0915638 | + | 0.0379270i | −0.427995 | − | 0.903781i | \(-0.640780\pi\) |
0.336431 | + | 0.941708i | \(0.390780\pi\) | |||||||
\(360\) | 5.87256 | − | 3.21056i | 0.309511 | − | 0.169211i | ||||
\(361\) | −12.5137 | + | 12.5137i | −0.658614 | + | 0.658614i | ||||
\(362\) | 7.16300 | − | 4.78617i | 0.376479 | − | 0.251555i | ||||
\(363\) | 0.142618 | + | 0.716991i | 0.00748552 | + | 0.0376323i | ||||
\(364\) | −0.00813546 | − | 0.0408997i | −0.000426414 | − | 0.00214373i | ||||
\(365\) | −3.22126 | + | 6.16581i | −0.168608 | + | 0.322733i | ||||
\(366\) | −0.126363 | + | 0.305067i | −0.00660509 | + | 0.0159461i | ||||
\(367\) | −4.90572 | − | 3.27790i | −0.256076 | − | 0.171105i | 0.420905 | − | 0.907105i | \(-0.361712\pi\) |
−0.676982 | + | 0.736000i | \(0.736712\pi\) | |||||||
\(368\) | 7.32467 | − | 1.45697i | 0.381825 | − | 0.0759497i | ||||
\(369\) | 16.7832 | + | 3.33838i | 0.873696 | + | 0.173789i | ||||
\(370\) | −12.4282 | − | 1.10576i | −0.646114 | − | 0.0574860i | ||||
\(371\) | −0.131105 | − | 0.196213i | −0.00680663 | − | 0.0101868i | ||||
\(372\) | 0.264545 | − | 0.638669i | 0.0137160 | − | 0.0331134i | ||||
\(373\) | 14.5954 | − | 14.5954i | 0.755719 | − | 0.755719i | −0.219821 | − | 0.975540i | \(-0.570547\pi\) |
0.975540 | + | 0.219821i | \(0.0705474\pi\) | |||||||
\(374\) | 4.54160 | − | 4.02993i | 0.234840 | − | 0.208383i | ||||
\(375\) | −0.892876 | − | 0.243476i | −0.0461079 | − | 0.0125730i | ||||
\(376\) | 3.49879 | + | 8.44683i | 0.180436 | + | 0.435612i | ||||
\(377\) | −0.168879 | + | 0.849013i | −0.00869772 | + | 0.0437264i | ||||
\(378\) | −0.127961 | −0.00658160 | ||||||||
\(379\) | −5.88007 | + | 29.5611i | −0.302039 | + | 1.51845i | 0.469880 | + | 0.882730i | \(0.344297\pi\) |
−0.771919 | + | 0.635721i | \(0.780703\pi\) | |||||||
\(380\) | −0.274143 | − | 2.53769i | −0.0140632 | − | 0.130181i | ||||
\(381\) | −1.72870 | + | 0.343860i | −0.0885640 | + | 0.0176165i | ||||
\(382\) | −4.37806 | + | 1.81345i | −0.224001 | + | 0.0927842i | ||||
\(383\) | 12.4979 | − | 5.17678i | 0.638611 | − | 0.264521i | −0.0397959 | − | 0.999208i | \(-0.512671\pi\) |
0.678407 | + | 0.734687i | \(0.262671\pi\) | |||||||
\(384\) | −0.0811867 | + | 0.0161490i | −0.00414304 | + | 0.000824102i | ||||
\(385\) | 0.532604 | − | 0.661613i | 0.0271440 | − | 0.0337189i | ||||
\(386\) | 0.121159 | − | 0.609107i | 0.00616683 | − | 0.0310027i | ||||
\(387\) | −6.24192 | −0.317294 | ||||||||
\(388\) | 0.688130 | − | 3.45946i | 0.0349345 | − | 0.175628i | ||||
\(389\) | 7.78829 | + | 18.8026i | 0.394882 | + | 0.953330i | 0.988860 | + | 0.148848i | \(0.0475566\pi\) |
−0.593978 | + | 0.804481i | \(0.702443\pi\) | |||||||
\(390\) | 0.0298070 | + | 0.00265199i | 0.00150934 | + | 0.000134289i | ||||
\(391\) | −10.0675 | − | 29.0998i | −0.509136 | − | 1.47164i | ||||
\(392\) | −4.90270 | + | 4.90270i | −0.247624 | + | 0.247624i | ||||
\(393\) | 0.626053 | − | 1.51143i | 0.0315802 | − | 0.0762414i | ||||
\(394\) | −10.5531 | − | 15.7938i | −0.531657 | − | 0.795681i | ||||
\(395\) | 0.141980 | − | 1.59578i | 0.00714378 | − | 0.0802926i | ||||
\(396\) | −4.32308 | − | 0.859914i | −0.217243 | − | 0.0432123i | ||||
\(397\) | 25.2801 | − | 5.02852i | 1.26877 | − | 0.252374i | 0.485600 | − | 0.874181i | \(-0.338601\pi\) |
0.783171 | + | 0.621807i | \(0.213601\pi\) | |||||||
\(398\) | −2.83844 | − | 1.89659i | −0.142278 | − | 0.0950673i | ||||
\(399\) | −0.00932686 | + | 0.0225170i | −0.000466927 | + | 0.00112726i | ||||
\(400\) | −4.20903 | − | 2.69890i | −0.210452 | − | 0.134945i | ||||
\(401\) | −1.25820 | − | 6.32538i | −0.0628314 | − | 0.315875i | 0.936570 | − | 0.350482i | \(-0.113982\pi\) |
−0.999401 | + | 0.0346070i | \(0.988982\pi\) | |||||||
\(402\) | 0.184885 | + | 0.929478i | 0.00922121 | + | 0.0463581i | ||||
\(403\) | −1.12261 | + | 0.750107i | −0.0559214 | + | 0.0373655i | ||||
\(404\) | −7.13838 | + | 7.13838i | −0.355148 | + | 0.355148i | ||||
\(405\) | −5.62113 | + | 19.1801i | −0.279316 | + | 0.953066i | ||||
\(406\) | −1.27595 | + | 0.528514i | −0.0633242 | + | 0.0262297i | ||||
\(407\) | 5.81049 | + | 5.81049i | 0.288016 | + | 0.288016i | ||||
\(408\) | 0.111588 | + | 0.322542i | 0.00552445 | + | 0.0159682i | ||||
\(409\) | − | 11.6648i | − | 0.576786i | −0.957512 | − | 0.288393i | \(-0.906879\pi\) | ||
0.957512 | − | 0.288393i | \(-0.0931209\pi\) | |||||||
\(410\) | −3.82619 | − | 12.1977i | −0.188962 | − | 0.602400i | ||||
\(411\) | −0.692556 | + | 0.462751i | −0.0341612 | + | 0.0228258i | ||||
\(412\) | 5.89513i | 0.290432i | ||||||||
\(413\) | −0.313547 | − | 0.469256i | −0.0154286 | − | 0.0230906i | ||||
\(414\) | −12.4189 | + | 18.5861i | −0.610353 | + | 0.913458i | ||||
\(415\) | 0.692063 | + | 6.40630i | 0.0339721 | + | 0.314473i | ||||
\(416\) | 0.149365 | + | 0.0618692i | 0.00732324 | + | 0.00303339i | ||||
\(417\) | −0.110918 | − | 0.267780i | −0.00543167 | − | 0.0131132i | ||||
\(418\) | −0.933906 | + | 1.39769i | −0.0456788 | + | 0.0683632i | ||||
\(419\) | 18.2447 | + | 12.1907i | 0.891312 | + | 0.595556i | 0.914683 | − | 0.404171i | \(-0.132440\pi\) |
−0.0233715 | + | 0.999727i | \(0.507440\pi\) | |||||||
\(420\) | 0.0229021 | + | 0.0418911i | 0.00111751 | + | 0.00204408i | ||||
\(421\) | −13.1073 | − | 13.1073i | −0.638811 | − | 0.638811i | 0.311451 | − | 0.950262i | \(-0.399185\pi\) |
−0.950262 | + | 0.311451i | \(0.899185\pi\) | |||||||
\(422\) | 15.9803 | + | 3.17868i | 0.777909 | + | 0.154736i | ||||
\(423\) | −25.2826 | − | 10.4724i | −1.22928 | − | 0.509186i | ||||
\(424\) | 0.914889 | 0.0444310 | ||||||||
\(425\) | −8.65859 | + | 18.7091i | −0.420003 | + | 0.907523i | ||||
\(426\) | −0.799634 | −0.0387424 | ||||||||
\(427\) | 0.950595 | + | 0.393749i | 0.0460025 | + | 0.0190549i | ||||
\(428\) | 11.6748 | + | 2.32226i | 0.564323 | + | 0.112251i | ||||
\(429\) | −0.0139355 | − | 0.0139355i | −0.000672811 | − | 0.000672811i | ||||
\(430\) | 2.23688 | + | 4.09156i | 0.107872 | + | 0.197313i | ||||
\(431\) | −19.2976 | − | 12.8943i | −0.929533 | − | 0.621094i | −0.00409454 | − | 0.999992i | \(-0.501303\pi\) |
−0.925439 | + | 0.378897i | \(0.876303\pi\) | |||||||
\(432\) | 0.275616 | − | 0.412489i | 0.0132606 | − | 0.0198459i | ||||
\(433\) | 6.35207 | + | 15.3353i | 0.305261 | + | 0.736965i | 0.999846 | + | 0.0175545i | \(0.00558807\pi\) |
−0.694585 | + | 0.719411i | \(0.744412\pi\) | |||||||
\(434\) | −1.99011 | − | 0.824330i | −0.0955282 | − | 0.0395691i | ||||
\(435\) | −0.106444 | − | 0.985331i | −0.00510359 | − | 0.0472430i | ||||
\(436\) | −7.62731 | + | 11.4151i | −0.365282 | + | 0.546683i | ||||
\(437\) | 4.73616 | + | 7.08816i | 0.226561 | + | 0.339073i | ||||
\(438\) | 0.257525i | 0.0123050i | ||||||||
\(439\) | 17.0419 | − | 11.3870i | 0.813366 | − | 0.543474i | −0.0778967 | − | 0.996961i | \(-0.524820\pi\) |
0.891262 | + | 0.453488i | \(0.149820\pi\) | |||||||
\(440\) | 0.985565 | + | 3.14193i | 0.0469850 | + | 0.149786i | ||||
\(441\) | − | 20.7529i | − | 0.988233i | ||||||
\(442\) | 0.168772 | − | 0.644872i | 0.00802765 | − | 0.0306734i | ||||
\(443\) | 17.8297 | + | 17.8297i | 0.847113 | + | 0.847113i | 0.989772 | − | 0.142659i | \(-0.0455651\pi\) |
−0.142659 | + | 0.989772i | \(0.545565\pi\) | |||||||
\(444\) | −0.426740 | + | 0.176761i | −0.0202522 | + | 0.00838873i | ||||
\(445\) | 8.86790 | − | 30.2585i | 0.420379 | − | 1.43439i | ||||
\(446\) | −9.57772 | + | 9.57772i | −0.453518 | + | 0.453518i | ||||
\(447\) | 1.21325 | − | 0.810665i | 0.0573846 | − | 0.0383431i | ||||
\(448\) | 0.0503208 | + | 0.252980i | 0.00237743 | + | 0.0119522i | ||||
\(449\) | 6.11365 | + | 30.7354i | 0.288521 | + | 1.45049i | 0.804531 | + | 0.593911i | \(0.202417\pi\) |
−0.516010 | + | 0.856583i | \(0.672583\pi\) | |||||||
\(450\) | 14.6205 | − | 3.19616i | 0.689215 | − | 0.150668i | ||||
\(451\) | −3.22183 | + | 7.77818i | −0.151710 | + | 0.366260i | ||||
\(452\) | 9.02889 | + | 6.03291i | 0.424683 | + | 0.283764i | ||||
\(453\) | −0.857113 | + | 0.170490i | −0.0402707 | + | 0.00801033i | ||||
\(454\) | 18.5261 | + | 3.68507i | 0.869474 | + | 0.172949i | ||||
\(455\) | 0.00826366 | − | 0.0928794i | 0.000387406 | − | 0.00435425i | ||||
\(456\) | −0.0524956 | − | 0.0785652i | −0.00245833 | − | 0.00367915i | ||||
\(457\) | 15.4887 | − | 37.3930i | 0.724530 | − | 1.74917i | 0.0645173 | − | 0.997917i | \(-0.479449\pi\) |
0.660013 | − | 0.751254i | \(-0.270551\pi\) | |||||||
\(458\) | 2.15475 | − | 2.15475i | 0.100685 | − | 0.100685i | ||||
\(459\) | −1.83976 | − | 0.893978i | −0.0858724 | − | 0.0417273i | ||||
\(460\) | 16.6336 | + | 1.47993i | 0.775547 | + | 0.0690019i | ||||
\(461\) | 11.1969 | + | 27.0318i | 0.521493 | + | 1.25899i | 0.936976 | + | 0.349394i | \(0.113612\pi\) |
−0.415483 | + | 0.909601i | \(0.636388\pi\) | |||||||
\(462\) | 0.00613408 | − | 0.0308381i | 0.000285383 | − | 0.00143472i | ||||
\(463\) | 3.51940 | 0.163560 | 0.0817801 | − | 0.996650i | \(-0.473939\pi\) | ||||
0.0817801 | + | 0.996650i | \(0.473939\pi\) | |||||||
\(464\) | 1.04458 | − | 5.25145i | 0.0484934 | − | 0.243793i | ||||
\(465\) | 0.969308 | − | 1.20410i | 0.0449506 | − | 0.0558387i | ||||
\(466\) | 12.8732 | − | 2.56065i | 0.596341 | − | 0.118620i | ||||
\(467\) | 18.3629 | − | 7.60618i | 0.849736 | − | 0.351972i | 0.0850509 | − | 0.996377i | \(-0.472895\pi\) |
0.764685 | + | 0.644405i | \(0.222895\pi\) | |||||||
\(468\) | −0.447073 | + | 0.185184i | −0.0206660 | + | 0.00856012i | ||||
\(469\) | 2.89628 | − | 0.576105i | 0.133738 | − | 0.0266021i | ||||
\(470\) | 2.19575 | + | 20.3256i | 0.101282 | + | 0.937551i | ||||
\(471\) | 0.188308 | − | 0.946689i | 0.00867678 | − | 0.0436211i | ||||
\(472\) | 2.18802 | 0.100712 | ||||||||
\(473\) | 0.599124 | − | 3.01200i | 0.0275477 | − | 0.138492i | ||||
\(474\) | −0.0226961 | − | 0.0547933i | −0.00104247 | − | 0.00251674i | ||||
\(475\) | 1.00763 | − | 5.61781i | 0.0462333 | − | 0.257763i | ||||
\(476\) | 1.00505 | − | 0.347712i | 0.0460663 | − | 0.0159374i | ||||
\(477\) | −1.93634 | + | 1.93634i | −0.0886590 | + | 0.0886590i | ||||
\(478\) | −0.527671 | + | 1.27391i | −0.0241351 | + | 0.0582673i | ||||
\(479\) | −19.5061 | − | 29.1929i | −0.891256 | − | 1.33386i | −0.942163 | − | 0.335155i | \(-0.891211\pi\) |
0.0509076 | − | 0.998703i | \(-0.483789\pi\) | |||||||
\(480\) | −0.184367 | − | 0.0164035i | −0.00841517 | − | 0.000748714i | ||||
\(481\) | 0.884802 | + | 0.175998i | 0.0403435 | + | 0.00802482i | ||||
\(482\) | 15.5431 | − | 3.09171i | 0.707969 | − | 0.140824i | ||||
\(483\) | −0.132582 | − | 0.0885882i | −0.00603267 | − | 0.00403090i | ||||
\(484\) | −3.37963 | + | 8.15914i | −0.153619 | + | 0.370870i | ||||
\(485\) | 3.65217 | − | 6.99061i | 0.165836 | − | 0.317427i | ||||
\(486\) | 0.434697 | + | 2.18537i | 0.0197183 | + | 0.0991304i | ||||
\(487\) | 5.67470 | + | 28.5287i | 0.257145 | + | 1.29276i | 0.866227 | + | 0.499650i | \(0.166538\pi\) |
−0.609082 | + | 0.793107i | \(0.708462\pi\) | |||||||
\(488\) | −3.31677 | + | 2.21619i | −0.150143 | + | 0.100322i | ||||
\(489\) | −0.739228 | + | 0.739228i | −0.0334290 | + | 0.0334290i | ||||
\(490\) | −13.6035 | + | 7.43710i | −0.614542 | + | 0.335974i | ||||
\(491\) | 37.6868 | − | 15.6104i | 1.70078 | − | 0.704487i | 0.700821 | − | 0.713338i | \(-0.252817\pi\) |
0.999961 | + | 0.00885091i | \(0.00281737\pi\) | |||||||
\(492\) | −0.334632 | − | 0.334632i | −0.0150864 | − | 0.0150864i | ||||
\(493\) | −22.0373 | − | 1.31548i | −0.992508 | − | 0.0592464i | ||||
\(494\) | 0.184547i | 0.00830318i | ||||||||
\(495\) | −8.73574 | − | 4.56389i | −0.392642 | − | 0.205132i | ||||
\(496\) | 6.94378 | − | 4.63969i | 0.311785 | − | 0.208328i | ||||
\(497\) | 2.49168i | 0.111767i | ||||||||
\(498\) | 0.132523 | + | 0.198335i | 0.00593850 | + | 0.00888759i | ||||
\(499\) | −10.0584 | + | 15.0534i | −0.450274 | + | 0.673883i | −0.985277 | − | 0.170968i | \(-0.945311\pi\) |
0.535002 | + | 0.844851i | \(0.320311\pi\) | |||||||
\(500\) | −7.33452 | − | 8.43829i | −0.328010 | − | 0.377372i | ||||
\(501\) | −1.71317 | − | 0.709616i | −0.0765386 | − | 0.0317033i | ||||
\(502\) | 10.2294 | + | 24.6960i | 0.456562 | + | 1.10224i | ||||
\(503\) | −21.2766 | + | 31.8427i | −0.948677 | + | 1.41980i | −0.0414559 | + | 0.999140i | \(0.513200\pi\) |
−0.907221 | + | 0.420655i | \(0.861800\pi\) | |||||||
\(504\) | −0.641928 | − | 0.428923i | −0.0285937 | − | 0.0191057i | ||||
\(505\) | −19.8068 | + | 10.8285i | −0.881391 | + | 0.481861i | ||||
\(506\) | −7.77661 | − | 7.77661i | −0.345712 | − | 0.345712i | ||||
\(507\) | 1.05331 | + | 0.209515i | 0.0467789 | + | 0.00930491i | ||||
\(508\) | −19.6721 | − | 8.14844i | −0.872807 | − | 0.361529i | ||||
\(509\) | −14.2454 | −0.631415 | −0.315708 | − | 0.948857i | \(-0.602242\pi\) | ||||
−0.315708 | + | 0.948857i | \(0.602242\pi\) | |||||||
\(510\) | 0.0366092 | + | 0.762290i | 0.00162108 | + | 0.0337548i | ||||
\(511\) | 0.802455 | 0.0354985 | ||||||||
\(512\) | −0.923880 | − | 0.382683i | −0.0408301 | − | 0.0169124i | ||||
\(513\) | 0.555409 | + | 0.110478i | 0.0245219 | + | 0.00487771i | ||||
\(514\) | 0.816829 | + | 0.816829i | 0.0360288 | + | 0.0360288i | ||||
\(515\) | −3.70731 | + | 12.6499i | −0.163363 | + | 0.557419i | ||||
\(516\) | 0.143531 | + | 0.0959047i | 0.00631862 | + | 0.00422197i | ||||
\(517\) | 7.48012 | − | 11.1948i | 0.328975 | − | 0.492346i | ||||
\(518\) | 0.550793 | + | 1.32973i | 0.0242005 | + | 0.0584251i | ||||
\(519\) | 0.221972 | + | 0.0919438i | 0.00974349 | + | 0.00403589i | ||||
\(520\) | 0.281602 | + | 0.226692i | 0.0123491 | + | 0.00994110i | ||||
\(521\) | 3.41898 | − | 5.11686i | 0.149788 | − | 0.224174i | −0.748986 | − | 0.662586i | \(-0.769459\pi\) |
0.898774 | + | 0.438412i | \(0.144459\pi\) | |||||||
\(522\) | 8.90374 | + | 13.3254i | 0.389706 | + | 0.583237i | ||||
\(523\) | − | 12.3832i | − | 0.541481i | −0.962652 | − | 0.270740i | \(-0.912732\pi\) | ||
0.962652 | − | 0.270740i | \(-0.0872685\pi\) | |||||||
\(524\) | 16.4326 | − | 10.9799i | 0.717863 | − | 0.479661i | ||||
\(525\) | 0.0227993 | + | 0.104293i | 0.000995045 | + | 0.00455172i | ||||
\(526\) | 23.6134i | 1.02959i | ||||||||
\(527\) | −22.8537 | − | 25.7553i | −0.995522 | − | 1.12192i | ||||
\(528\) | 0.0861960 | + | 0.0861960i | 0.00375120 | + | 0.00375120i | ||||
\(529\) | −30.2788 | + | 12.5419i | −1.31647 | + | 0.545300i | ||||
\(530\) | 1.96318 | + | 0.575352i | 0.0852752 | + | 0.0249917i | ||||
\(531\) | −4.63089 | + | 4.63089i | −0.200964 | + | 0.200964i | ||||
\(532\) | −0.244811 | + | 0.163578i | −0.0106139 | + | 0.00709199i | ||||
\(533\) | 0.180319 | + | 0.906526i | 0.00781050 | + | 0.0392660i | ||||
\(534\) | −0.227721 | − | 1.14483i | −0.00985444 | − | 0.0495416i | ||||
\(535\) | 23.5916 | + | 12.3252i | 1.01995 | + | 0.532863i | ||||
\(536\) | −4.38121 | + | 10.5772i | −0.189239 | + | 0.456864i | ||||
\(537\) | −1.42658 | − | 0.953208i | −0.0615613 | − | 0.0411340i | ||||
\(538\) | 26.2843 | − | 5.22827i | 1.13320 | − | 0.225407i | ||||
\(539\) | 10.0142 | + | 1.99194i | 0.431341 | + | 0.0857991i | ||||
\(540\) | 0.850825 | − | 0.711796i | 0.0366137 | − | 0.0306308i | ||||
\(541\) | −0.433789 | − | 0.649210i | −0.0186500 | − | 0.0279117i | 0.822027 | − | 0.569448i | \(-0.192843\pi\) |
−0.840677 | + | 0.541536i | \(0.817843\pi\) | |||||||
\(542\) | 6.92927 | − | 16.7287i | 0.297638 | − | 0.718561i | ||||
\(543\) | 0.504249 | − | 0.504249i | 0.0216394 | − | 0.0216394i | ||||
\(544\) | −1.04391 | + | 3.98876i | −0.0447574 | + | 0.171017i | ||||
\(545\) | −23.5455 | + | 19.6980i | −1.00858 | + | 0.843770i | ||||
\(546\) | −0.00132098 | − | 0.00318913i | −5.65328e−5 | − | 0.000136482i | ||||
\(547\) | 1.94216 | − | 9.76390i | 0.0830408 | − | 0.417474i | −0.916795 | − | 0.399358i | \(-0.869233\pi\) |
0.999836 | − | 0.0181164i | \(-0.00576693\pi\) | |||||||
\(548\) | −10.0623 | −0.429840 | ||||||||
\(549\) | 2.32934 | − | 11.7104i | 0.0994137 | − | 0.499786i | ||||
\(550\) | 0.138956 | + | 7.36179i | 0.00592510 | + | 0.313908i | ||||
\(551\) | 5.99449 | − | 1.19238i | 0.255374 | − | 0.0507971i | ||||
\(552\) | 0.571137 | − | 0.236573i | 0.0243092 | − | 0.0100692i | ||||
\(553\) | −0.170737 | + | 0.0707216i | −0.00726048 | + | 0.00300739i | ||||
\(554\) | −6.79183 | + | 1.35098i | −0.288557 | + | 0.0573976i | ||||
\(555\) | −1.02687 | + | 0.110931i | −0.0435880 | + | 0.00470875i | ||||
\(556\) | 0.683104 | − | 3.43420i | 0.0289701 | − | 0.145642i | ||||
\(557\) | −22.9480 | −0.972336 | −0.486168 | − | 0.873865i | \(-0.661606\pi\) | ||||
−0.486168 | + | 0.873865i | \(0.661606\pi\) | |||||||
\(558\) | −4.87656 | + | 24.5161i | −0.206441 | + | 1.03785i | ||||
\(559\) | −0.129022 | − | 0.311487i | −0.00545706 | − | 0.0131745i | ||||
\(560\) | −0.0511137 | + | 0.574493i | −0.00215995 | + | 0.0242767i | ||||
\(561\) | 0.303638 | − | 0.400519i | 0.0128196 | − | 0.0169099i | ||||
\(562\) | −9.28181 | + | 9.28181i | −0.391529 | + | 0.391529i | ||||
\(563\) | 16.2547 | − | 39.2423i | 0.685054 | − | 1.65387i | −0.0694621 | − | 0.997585i | \(-0.522128\pi\) |
0.754516 | − | 0.656282i | \(-0.227872\pi\) | |||||||
\(564\) | 0.420464 | + | 0.629268i | 0.0177047 | + | 0.0264970i | ||||
\(565\) | 15.5804 | + | 18.6236i | 0.655471 | + | 0.783499i | ||||
\(566\) | −25.1331 | − | 4.99928i | −1.05642 | − | 0.210136i | ||||
\(567\) | 2.26123 | − | 0.449786i | 0.0949627 | − | 0.0188892i | ||||
\(568\) | −8.03206 | − | 5.36685i | −0.337018 | − | 0.225188i | ||||
\(569\) | 14.7790 | − | 35.6796i | 0.619567 | − | 1.49577i | −0.232641 | − | 0.972563i | \(-0.574737\pi\) |
0.852208 | − | 0.523203i | \(-0.175263\pi\) | |||||||
\(570\) | −0.0632380 | − | 0.201600i | −0.00264875 | − | 0.00844408i | ||||
\(571\) | −1.63165 | − | 8.20287i | −0.0682825 | − | 0.343280i | 0.931509 | − | 0.363719i | \(-0.118493\pi\) |
−0.999791 | + | 0.0204399i | \(0.993493\pi\) | |||||||
\(572\) | −0.0464474 | − | 0.233507i | −0.00194206 | − | 0.00976342i | ||||
\(573\) | −0.326155 | + | 0.217929i | −0.0136253 | + | 0.00910413i | ||||
\(574\) | −1.04272 | + | 1.04272i | −0.0435224 | + | 0.0435224i | ||||
\(575\) | 34.7620 | + | 13.6361i | 1.44967 | + | 0.568666i | ||||
\(576\) | 2.76531 | − | 1.14543i | 0.115221 | − | 0.0477262i | ||||
\(577\) | 13.2801 | + | 13.2801i | 0.552857 | + | 0.552857i | 0.927264 | − | 0.374407i | \(-0.122154\pi\) |
−0.374407 | + | 0.927264i | \(0.622154\pi\) | |||||||
\(578\) | 16.8793 | + | 2.02238i | 0.702085 | + | 0.0841198i | ||||
\(579\) | − | 0.0514080i | − | 0.00213644i | ||||||
\(580\) | 5.54398 | − | 10.6117i | 0.230201 | − | 0.440628i | ||||
\(581\) | 0.618016 | − | 0.412945i | 0.0256396 | − | 0.0171318i | ||||
\(582\) | − | 0.291975i | − | 0.0121028i | ||||||
\(583\) | −0.748512 | − | 1.12023i | −0.0310002 | − | 0.0463951i | ||||
\(584\) | −1.72842 | + | 2.58676i | −0.0715223 | + | 0.107041i | ||||
\(585\) | −1.07579 | + | 0.116216i | −0.0444785 | + | 0.00480496i | ||||
\(586\) | 11.0905 | + | 4.59383i | 0.458144 | + | 0.189769i | ||||
\(587\) | 2.16591 | + | 5.22898i | 0.0893969 | + | 0.215823i | 0.962254 | − | 0.272152i | \(-0.0877355\pi\) |
−0.872857 | + | 0.487976i | \(0.837736\pi\) | |||||||
\(588\) | −0.318860 | + | 0.477208i | −0.0131496 | + | 0.0196797i | ||||
\(589\) | 7.92627 | + | 5.29617i | 0.326596 | + | 0.218225i | ||||
\(590\) | 4.69509 | + | 1.37599i | 0.193294 | + | 0.0566487i | ||||
\(591\) | −1.11183 | − | 1.11183i | −0.0457344 | − | 0.0457344i | ||||
\(592\) | −5.47282 | − | 1.08861i | −0.224931 | − | 0.0447416i | ||||
\(593\) | 32.3814 | + | 13.4128i | 1.32974 | + | 0.550798i | 0.930582 | − | 0.366083i | \(-0.119302\pi\) |
0.399161 | + | 0.916881i | \(0.369302\pi\) | |||||||
\(594\) | −0.730562 | −0.0299753 | ||||||||
\(595\) | 2.37531 | − | 0.114075i | 0.0973783 | − | 0.00467662i | ||||
\(596\) | 17.6275 | 0.722052 | ||||||||
\(597\) | −0.261072 | − | 0.108139i | −0.0106850 | − | 0.00442585i | ||||
\(598\) | −1.18419 | − | 0.235551i | −0.0484253 | − | 0.00963239i | ||||
\(599\) | −32.5991 | − | 32.5991i | −1.33196 | − | 1.33196i | −0.903613 | − | 0.428350i | \(-0.859095\pi\) |
−0.428350 | − | 0.903613i | \(-0.640905\pi\) | |||||||
\(600\) | −0.385302 | − | 0.151143i | −0.0157299 | − | 0.00617038i | ||||
\(601\) | 17.5086 | + | 11.6988i | 0.714189 | + | 0.477206i | 0.858819 | − | 0.512280i | \(-0.171199\pi\) |
−0.144629 | + | 0.989486i | \(0.546199\pi\) | |||||||
\(602\) | 0.298841 | − | 0.447247i | 0.0121799 | − | 0.0182284i | ||||
\(603\) | −13.1136 | − | 31.6590i | −0.534027 | − | 1.28926i | ||||
\(604\) | −9.75368 | − | 4.04011i | −0.396872 | − | 0.164390i | ||||
\(605\) | −12.3831 | + | 15.3826i | −0.503446 | + | 0.625393i | ||||
\(606\) | −0.464264 | + | 0.694820i | −0.0188594 | + | 0.0282251i | ||||
\(607\) | 10.4649 | + | 15.6619i | 0.424758 | + | 0.635695i | 0.980698 | − | 0.195527i | \(-0.0626417\pi\) |
−0.555940 | + | 0.831222i | \(0.687642\pi\) | |||||||
\(608\) | − | 1.14149i | − | 0.0462936i | ||||||
\(609\) | −0.0950549 | + | 0.0635137i | −0.00385182 | + | 0.00257370i | ||||
\(610\) | −8.51087 | + | 2.66970i | −0.344595 | + | 0.108093i | ||||
\(611\) | − | 1.47813i | − | 0.0597988i | ||||||
\(612\) | −6.23270 | − | 10.6515i | −0.251942 | − | 0.430563i | ||||
\(613\) | 8.12752 | + | 8.12752i | 0.328267 | + | 0.328267i | 0.851927 | − | 0.523660i | \(-0.175434\pi\) |
−0.523660 | + | 0.851927i | \(0.675434\pi\) | |||||||
\(614\) | 11.9238 | − | 4.93901i | 0.481206 | − | 0.199322i | ||||
\(615\) | −0.507616 | − | 0.928500i | −0.0204691 | − | 0.0374407i | ||||
\(616\) | 0.268589 | − | 0.268589i | 0.0108217 | − | 0.0108217i | ||||
\(617\) | −24.5840 | + | 16.4265i | −0.989716 | + | 0.661307i | −0.941318 | − | 0.337521i | \(-0.890412\pi\) |
−0.0483982 | + | 0.998828i | \(0.515412\pi\) | |||||||
\(618\) | 0.0952007 | + | 0.478606i | 0.00382954 | + | 0.0192524i | ||||
\(619\) | 2.64078 | + | 13.2761i | 0.106142 | + | 0.533612i | 0.996869 | + | 0.0790729i | \(0.0251960\pi\) |
−0.890727 | + | 0.454539i | \(0.849804\pi\) | |||||||
\(620\) | 17.8178 | − | 5.58913i | 0.715582 | − | 0.224465i | ||||
\(621\) | −1.41782 | + | 3.42291i | −0.0568950 | + | 0.137357i | ||||
\(622\) | −9.95836 | − | 6.65396i | −0.399294 | − | 0.266800i | ||||
\(623\) | −3.56732 | + | 0.709583i | −0.142922 | + | 0.0284289i | ||||
\(624\) | 0.0131256 | + | 0.00261085i | 0.000525445 | + | 0.000104518i | ||||
\(625\) | −10.4319 | − | 22.7195i | −0.417275 | − | 0.908780i | ||||
\(626\) | −13.1370 | − | 19.6609i | −0.525061 | − | 0.785809i | ||||
\(627\) | −0.0532494 | + | 0.128555i | −0.00212658 | + | 0.00513401i | ||||
\(628\) | 8.24532 | − | 8.24532i | 0.329024 | − | 0.329024i | ||||
\(629\) | −1.37094 | + | 22.9662i | −0.0546628 | + | 0.915722i | ||||
\(630\) | −1.10772 | − | 1.32408i | −0.0441326 | − | 0.0527526i | ||||
\(631\) | −11.0698 | − | 26.7248i | −0.440681 | − | 1.06390i | −0.975710 | − | 0.219065i | \(-0.929699\pi\) |
0.535029 | − | 0.844833i | \(-0.320301\pi\) | |||||||
\(632\) | 0.139777 | − | 0.702708i | 0.00556004 | − | 0.0279522i | ||||
\(633\) | 1.34872 | 0.0536069 | ||||||||
\(634\) | −2.46534 | + | 12.3941i | −0.0979113 | + | 0.492233i | ||||
\(635\) | −37.0882 | − | 29.8563i | −1.47180 | − | 1.18481i | ||||
\(636\) | 0.0742769 | − | 0.0147746i | 0.00294527 | − | 0.000585850i | ||||
\(637\) | 1.03562 | − | 0.428968i | 0.0410328 | − | 0.0169963i | ||||
\(638\) | −7.28470 | + | 3.01742i | −0.288404 | + | 0.119461i | ||||
\(639\) | 28.3584 | − | 5.64085i | 1.12184 | − | 0.223148i | ||||
\(640\) | −1.74181 | − | 1.40217i | −0.0688512 | − | 0.0554257i | ||||
\(641\) | −3.34458 | + | 16.8143i | −0.132103 | + | 0.664126i | 0.856811 | + | 0.515631i | \(0.172443\pi\) |
−0.988913 | + | 0.148494i | \(0.952557\pi\) | |||||||
\(642\) | 0.985342 | 0.0388883 | ||||||||
\(643\) | −1.88379 | + | 9.47044i | −0.0742893 | + | 0.373478i | −0.999989 | − | 0.00478271i | \(-0.998478\pi\) |
0.925699 | + | 0.378260i | \(0.123478\pi\) | |||||||
\(644\) | −0.737167 | − | 1.77968i | −0.0290484 | − | 0.0701291i | ||||
\(645\) | 0.247680 | + | 0.296057i | 0.00975238 | + | 0.0116572i | ||||
\(646\) | −4.66257 | + | 0.641500i | −0.183446 | + | 0.0252395i | ||||
\(647\) | 9.13603 | − | 9.13603i | 0.359174 | − | 0.359174i | −0.504334 | − | 0.863508i | \(-0.668262\pi\) |
0.863508 | + | 0.504334i | \(0.168262\pi\) | |||||||
\(648\) | −3.42057 | + | 8.25798i | −0.134373 | + | 0.324404i | ||||
\(649\) | −1.79012 | − | 2.67910i | −0.0702683 | − | 0.105164i | ||||
\(650\) | 0.461705 | + | 0.663532i | 0.0181096 | + | 0.0260259i | ||||
\(651\) | −0.174882 | − | 0.0347863i | −0.00685418 | − | 0.00136338i | ||||
\(652\) | −12.3867 | + | 2.46387i | −0.485101 | + | 0.0964927i | ||||
\(653\) | −30.6957 | − | 20.5102i | −1.20121 | − | 0.802626i | −0.216411 | − | 0.976302i | \(-0.569435\pi\) |
−0.984803 | + | 0.173677i | \(0.944435\pi\) | |||||||
\(654\) | −0.434894 | + | 1.04993i | −0.0170057 | + | 0.0410554i | ||||
\(655\) | 42.1664 | − | 13.2268i | 1.64758 | − | 0.516814i | ||||
\(656\) | −1.11534 | − | 5.60719i | −0.0435467 | − | 0.218924i | ||||
\(657\) | −1.81666 | − | 9.13296i | −0.0708746 | − | 0.356311i | ||||
\(658\) | 1.96081 | − | 1.31017i | 0.0764405 | − | 0.0510759i | ||||
\(659\) | −20.7048 | + | 20.7048i | −0.806543 | + | 0.806543i | −0.984109 | − | 0.177566i | \(-0.943178\pi\) |
0.177566 | + | 0.984109i | \(0.443178\pi\) | |||||||
\(660\) | 0.130754 | + | 0.239167i | 0.00508959 | + | 0.00930956i | ||||
\(661\) | 42.9522 | − | 17.7914i | 1.67065 | − | 0.692005i | 0.671834 | − | 0.740701i | \(-0.265507\pi\) |
0.998814 | + | 0.0486965i | \(0.0155067\pi\) | |||||||
\(662\) | −16.4370 | − | 16.4370i | −0.638840 | − | 0.638840i | ||||
\(663\) | 0.00328796 | − | 0.0550805i | 0.000127694 | − | 0.00213915i | ||||
\(664\) | 2.88165i | 0.111830i | ||||||||
\(665\) | −0.628189 | + | 0.197051i | −0.0243601 | + | 0.00764132i | ||||
\(666\) | 13.8871 | − | 9.27907i | 0.538114 | − | 0.359556i | ||||
\(667\) | 39.9871i | 1.54831i | ||||||||
\(668\) | −12.4455 | − | 18.6260i | −0.481530 | − | 0.720661i | ||||
\(669\) | −0.622912 | + | 0.932254i | −0.0240832 | + | 0.0360430i | ||||
\(670\) | −16.0530 | + | 19.9414i | −0.620181 | + | 0.770404i | ||||
\(671\) | 5.42719 | + | 2.24801i | 0.209514 | + | 0.0867837i | ||||
\(672\) | 0.00817076 | + | 0.0197260i | 0.000315194 | + | 0.000760945i | ||||
\(673\) | 8.50983 | − | 12.7359i | 0.328030 | − | 0.490932i | −0.630396 | − | 0.776274i | \(-0.717107\pi\) |
0.958426 | + | 0.285342i | \(0.0921073\pi\) | |||||||
\(674\) | −7.29100 | − | 4.87169i | −0.280839 | − | 0.187651i | ||||
\(675\) | 2.27334 | − | 0.992318i | 0.0875010 | − | 0.0381943i | ||||
\(676\) | 9.17391 | + | 9.17391i | 0.352843 | + | 0.352843i | ||||
\(677\) | −33.2115 | − | 6.60618i | −1.27642 | − | 0.253896i | −0.490075 | − | 0.871680i | \(-0.663031\pi\) |
−0.786348 | + | 0.617784i | \(0.788031\pi\) | |||||||
\(678\) | 0.830452 | + | 0.343984i | 0.0318933 | + | 0.0132106i | ||||
\(679\) | −0.909801 | −0.0349150 | ||||||||
\(680\) | −4.74848 | + | 7.90265i | −0.182096 | + | 0.303053i | ||||
\(681\) | 1.56358 | 0.0599167 | ||||||||
\(682\) | −11.3620 | − | 4.70631i | −0.435075 | − | 0.180214i | ||||
\(683\) | 8.70565 | + | 1.73166i | 0.333112 | + | 0.0662602i | 0.358813 | − | 0.933410i | \(-0.383182\pi\) |
−0.0257005 | + | 0.999670i | \(0.508182\pi\) | |||||||
\(684\) | 2.41594 | + | 2.41594i | 0.0923758 | + | 0.0923758i | ||||
\(685\) | −21.5918 | − | 6.32794i | −0.824981 | − | 0.241778i | ||||
\(686\) | 2.98825 | + | 1.99669i | 0.114092 | + | 0.0762339i | ||||
\(687\) | 0.140140 | − | 0.209734i | 0.00534666 | − | 0.00800185i | ||||
\(688\) | 0.798049 | + | 1.92666i | 0.0304253 | + | 0.0734532i | ||||
\(689\) | −0.136653 | − | 0.0566035i | −0.00520606 | − | 0.00215642i | ||||
\(690\) | 1.37433 | − | 0.148467i | 0.0523198 | − | 0.00565204i | ||||
\(691\) | −24.1687 | + | 36.1711i | −0.919422 | + | 1.37601i | 0.00718155 | + | 0.999974i | \(0.497714\pi\) |
−0.926604 | + | 0.376039i | \(0.877286\pi\) | |||||||
\(692\) | 1.61254 | + | 2.41334i | 0.0612996 | + | 0.0917414i | ||||
\(693\) | 1.13692i | 0.0431881i | ||||||||
\(694\) | 24.7561 | − | 16.5415i | 0.939729 | − | 0.627907i | ||||
\(695\) | 3.62550 | − | 6.93956i | 0.137523 | − | 0.263232i | ||||
\(696\) | − | 0.443217i | − | 0.0168001i | ||||||
\(697\) | −22.2765 | + | 7.70690i | −0.843782 | + | 0.291920i | ||||
\(698\) | −17.2067 | − | 17.2067i | −0.651281 | − | 0.651281i | ||||
\(699\) | 1.00378 | − | 0.415781i | 0.0379666 | − | 0.0157263i | ||||
\(700\) | −0.470965 | + | 1.20061i | −0.0178008 | + | 0.0453788i | ||||
\(701\) | −25.9611 | + | 25.9611i | −0.980538 | + | 0.980538i | −0.999814 | − | 0.0192760i | \(-0.993864\pi\) |
0.0192760 | + | 0.999814i | \(0.493864\pi\) | |||||||
\(702\) | −0.0666879 | + | 0.0445594i | −0.00251697 | + | 0.00168179i | ||||
\(703\) | −1.24264 | − | 6.24718i | −0.0468671 | − | 0.235617i | ||||
\(704\) | 0.287294 | + | 1.44433i | 0.0108278 | + | 0.0544350i | ||||
\(705\) | 0.506505 | + | 1.61471i | 0.0190761 | + | 0.0608136i | ||||
\(706\) | 6.63888 | − | 16.0277i | 0.249858 | − | 0.603210i | ||||
\(707\) | 2.16508 | + | 1.44666i | 0.0814260 | + | 0.0544071i | ||||
\(708\) | 0.177638 | − | 0.0353344i | 0.00667605 | − | 0.00132795i | ||||
\(709\) | 5.00098 | + | 0.994756i | 0.187816 | + | 0.0373589i | 0.288102 | − | 0.957600i | \(-0.406976\pi\) |
−0.100286 | + | 0.994959i | \(0.531976\pi\) | |||||||
\(710\) | −13.8602 | − | 16.5674i | −0.520165 | − | 0.621764i | ||||
\(711\) | 1.19143 | + | 1.78310i | 0.0446821 | + | 0.0668715i | ||||
\(712\) | 5.39630 | − | 13.0278i | 0.202235 | − | 0.488238i | ||||
\(713\) | −44.1010 | + | 44.1010i | −1.65160 | + | 1.65160i | ||||
\(714\) | 0.0759813 | − | 0.0444602i | 0.00284353 | − | 0.00166388i | ||||
\(715\) | 0.0471793 | − | 0.530272i | 0.00176441 | − | 0.0198310i | ||||
\(716\) | −7.93190 | − | 19.1493i | −0.296429 | − | 0.715643i | ||||
\(717\) | −0.0222674 | + | 0.111946i | −0.000831593 | + | 0.00418070i | ||||
\(718\) | −1.87783 | −0.0700799 | ||||||||
\(719\) | 5.79442 | − | 29.1305i | 0.216096 | − | 1.08639i | −0.708580 | − | 0.705630i | \(-0.750664\pi\) |
0.924676 | − | 0.380755i | \(-0.124336\pi\) | |||||||
\(720\) | 6.65417 | − | 0.718840i | 0.247986 | − | 0.0267896i | ||||
\(721\) | 1.49135 | − | 0.296648i | 0.0555407 | − | 0.0110477i | ||||
\(722\) | −16.3499 | + | 6.77235i | −0.608480 | + | 0.252041i | ||||
\(723\) | 1.21196 | − | 0.502012i | 0.0450734 | − | 0.0186700i | ||||
\(724\) | 8.44934 | − | 1.68068i | 0.314017 | − | 0.0624619i | ||||
\(725\) | 18.5698 | − | 19.2843i | 0.689665 | − | 0.716201i | ||||
\(726\) | −0.142618 | + | 0.716991i | −0.00529307 | + | 0.0266100i | ||||
\(727\) | −25.5902 | −0.949087 | −0.474543 | − | 0.880232i | \(-0.657387\pi\) | ||||
−0.474543 | + | 0.880232i | \(0.657387\pi\) | |||||||
\(728\) | 0.00813546 | − | 0.0408997i | 0.000301520 | − | 0.00151584i | ||||
\(729\) | −10.1911 | − | 24.6036i | −0.377449 | − | 0.911243i | ||||
\(730\) | −5.33561 | + | 4.46374i | −0.197480 | + | 0.165210i | ||||
\(731\) | 7.42120 | − | 4.34248i | 0.274483 | − | 0.160613i | ||||
\(732\) | −0.233488 | + | 0.233488i | −0.00862996 | + | 0.00862996i | ||||
\(733\) | −6.57339 | + | 15.8696i | −0.242794 | + | 0.586155i | −0.997558 | − | 0.0698402i | \(-0.977751\pi\) |
0.754765 | + | 0.655996i | \(0.227751\pi\) | |||||||
\(734\) | −3.27790 | − | 4.90572i | −0.120989 | − | 0.181073i | ||||
\(735\) | −0.984319 | + | 0.823476i | −0.0363072 | + | 0.0303744i | ||||
\(736\) | 7.32467 | + | 1.45697i | 0.269991 | + | 0.0537046i | ||||
\(737\) | 16.5356 | − | 3.28913i | 0.609096 | − | 0.121157i | ||||
\(738\) | 14.2281 | + | 9.50690i | 0.523743 | + | 0.349954i | ||||
\(739\) | 7.93386 | − | 19.1540i | 0.291852 | − | 0.704593i | −0.708147 | − | 0.706065i | \(-0.750469\pi\) |
0.999999 | + | 0.00147219i | \(0.000468612\pi\) | |||||||
\(740\) | −11.0590 | − | 5.77768i | −0.406539 | − | 0.212392i | ||||
\(741\) | 0.00298026 | + | 0.0149828i | 0.000109483 | + | 0.000550407i | ||||
\(742\) | −0.0460380 | − | 0.231448i | −0.00169011 | − | 0.00849674i | ||||
\(743\) | 13.1293 | − | 8.77270i | 0.481666 | − | 0.321839i | −0.290922 | − | 0.956747i | \(-0.593962\pi\) |
0.772588 | + | 0.634908i | \(0.218962\pi\) | |||||||
\(744\) | 0.488816 | − | 0.488816i | 0.0179209 | − | 0.0179209i | ||||
\(745\) | 37.8254 | + | 11.0855i | 1.38582 | + | 0.406142i | ||||
\(746\) | 19.0698 | − | 7.89895i | 0.698193 | − | 0.289201i | ||||
\(747\) | −6.09895 | − | 6.09895i | −0.223149 | − | 0.223149i | ||||
\(748\) | 5.73807 | − | 1.98518i | 0.209805 | − | 0.0725852i | ||||
\(749\) | − | 3.07035i | − | 0.112188i | ||||||
\(750\) | −0.731736 | − | 0.566631i | −0.0267192 | − | 0.0206905i | ||||
\(751\) | −16.2731 | + | 10.8734i | −0.593816 | + | 0.396775i | −0.815850 | − | 0.578264i | \(-0.803730\pi\) |
0.222034 | + | 0.975039i | \(0.428730\pi\) | |||||||
\(752\) | 9.14279i | 0.333403i | ||||||||
\(753\) | 1.22931 | + | 1.83979i | 0.0447986 | + | 0.0670458i | ||||
\(754\) | −0.480927 | + | 0.719758i | −0.0175143 | + | 0.0262121i | ||||
\(755\) | −18.3889 | − | 14.8032i | −0.669239 | − | 0.538742i | ||||
\(756\) | −0.118221 | − | 0.0489686i | −0.00429964 | − | 0.00178097i | ||||
\(757\) | 15.9752 | + | 38.5675i | 0.580629 | + | 1.40176i | 0.892244 | + | 0.451553i | \(0.149130\pi\) |
−0.311616 | + | 0.950208i | \(0.600870\pi\) | |||||||
\(758\) | −16.7450 | + | 25.0607i | −0.608206 | + | 0.910245i | ||||
\(759\) | −0.756942 | − | 0.505772i | −0.0274753 | − | 0.0183584i | ||||
\(760\) | 0.717857 | − | 2.44943i | 0.0260394 | − | 0.0888502i | ||||
\(761\) | −4.52297 | − | 4.52297i | −0.163957 | − | 0.163957i | 0.620360 | − | 0.784317i | \(-0.286987\pi\) |
−0.784317 | + | 0.620360i | \(0.786987\pi\) | |||||||
\(762\) | −1.72870 | − | 0.343860i | −0.0626242 | − | 0.0124567i | ||||
\(763\) | 3.27159 | + | 1.35514i | 0.118440 | + | 0.0490593i | ||||
\(764\) | −4.73878 | −0.171443 | ||||||||
\(765\) | −6.67573 | − | 26.7758i | −0.241361 | − | 0.968082i | ||||
\(766\) | 13.5276 | 0.488772 | ||||||||
\(767\) | −0.326815 | − | 0.135371i | −0.0118006 | − | 0.00488797i | ||||
\(768\) | −0.0811867 | − | 0.0161490i | −0.00292957 | − | 0.000582728i | ||||
\(769\) | 9.02209 | + | 9.02209i | 0.325345 | + | 0.325345i | 0.850813 | − | 0.525468i | \(-0.176110\pi\) |
−0.525468 | + | 0.850813i | \(0.676110\pi\) | |||||||
\(770\) | 0.745250 | − | 0.407432i | 0.0268569 | − | 0.0146828i | ||||
\(771\) | 0.0795066 | + | 0.0531246i | 0.00286336 | + | 0.00191324i | ||||
\(772\) | 0.345031 | − | 0.516376i | 0.0124180 | − | 0.0185848i | ||||
\(773\) | 14.4568 | + | 34.9017i | 0.519974 | + | 1.25533i | 0.937919 | + | 0.346855i | \(0.112750\pi\) |
−0.417945 | + | 0.908472i | \(0.637250\pi\) | |||||||
\(774\) | −5.76678 | − | 2.38868i | −0.207283 | − | 0.0858593i | ||||
\(775\) | 41.7486 | − | 0.788017i | 1.49966 | − | 0.0283064i | ||||
\(776\) | 1.95963 | − | 2.93279i | 0.0703465 | − | 0.105281i | ||||
\(777\) | 0.0661910 | + | 0.0990618i | 0.00237459 | + | 0.00355382i | ||||
\(778\) | 20.3518i | 0.729647i | ||||||||
\(779\) | 5.42614 | − | 3.62563i | 0.194412 | − | 0.129902i | ||||
\(780\) | 0.0265232 | + | 0.0138568i | 0.000949684 | + | 0.000496152i | ||||
\(781\) | 14.2256i | 0.509033i | ||||||||
\(782\) | 1.83482 | − | 30.7373i | 0.0656132 | − | 1.09917i | ||||
\(783\) | 1.87826 | + | 1.87826i | 0.0671236 | + | 0.0671236i | ||||
\(784\) | −6.40569 | + | 2.65332i | −0.228775 | + | 0.0947616i | ||||
\(785\) | 22.8782 | − | 12.5076i | 0.816558 | − | 0.446417i | ||||
\(786\) | 1.15680 | − | 1.15680i | 0.0412615 | − | 0.0412615i | ||||
\(787\) | −17.1318 | + | 11.4471i | −0.610681 | + | 0.408044i | −0.822093 | − | 0.569353i | \(-0.807194\pi\) |
0.211412 | + | 0.977397i | \(0.432194\pi\) | |||||||
\(788\) | −3.70575 | − | 18.6301i | −0.132012 | − | 0.663669i | ||||
\(789\) | 0.381334 | + | 1.91709i | 0.0135758 | + | 0.0682503i | ||||
\(790\) | 0.741852 | − | 1.41998i | 0.0263939 | − | 0.0505206i | ||||
\(791\) | 1.07186 | − | 2.58771i | 0.0381111 | − | 0.0920083i | ||||
\(792\) | −3.66493 | − | 2.44883i | −0.130228 | − | 0.0870153i | ||||
\(793\) | 0.632524 | − | 0.125817i | 0.0224616 | − | 0.00446789i | ||||
\(794\) | 25.2801 | + | 5.02852i | 0.897157 | + | 0.178456i | ||||
\(795\) | 0.168676 | + | 0.0150074i | 0.00598231 | + | 0.000532257i | ||||
\(796\) | −1.89659 | − | 2.83844i | −0.0672227 | − | 0.100606i | ||||
\(797\) | 8.11483 | − | 19.5909i | 0.287442 | − | 0.693947i | −0.712528 | − | 0.701643i | \(-0.752450\pi\) |
0.999970 | + | 0.00769679i | \(0.00244999\pi\) | |||||||
\(798\) | −0.0172338 | + | 0.0172338i | −0.000610070 | + | 0.000610070i | ||||
\(799\) | 37.3449 | − | 5.13810i | 1.32117 | − | 0.181773i | ||||
\(800\) | −2.85581 | − | 4.10418i | −0.100968 | − | 0.145105i | ||||
\(801\) | 16.1519 | + | 38.9942i | 0.570700 | + | 1.37779i | ||||
\(802\) | 1.25820 | − | 6.32538i | 0.0444285 | − | 0.223357i | ||||
\(803\) | 4.58142 | 0.161675 | ||||||||
\(804\) | −0.184885 | + | 0.929478i | −0.00652038 | + | 0.0327802i | ||||
\(805\) | −0.462626 | − | 4.28244i | −0.0163054 | − | 0.150936i | ||||
\(806\) | −1.32421 | + | 0.263403i | −0.0466435 | + | 0.00927796i | ||||
\(807\) | 2.04950 | − | 0.848931i | 0.0721459 | − | 0.0298838i | ||||
\(808\) | −9.32675 | + | 3.86327i | −0.328114 | + | 0.135909i | ||||
\(809\) | −19.0230 | + | 3.78392i | −0.668814 | + | 0.133035i | −0.517807 | − | 0.855497i | \(-0.673252\pi\) |
−0.151007 | + | 0.988533i | \(0.548252\pi\) | |||||||
\(810\) | −12.5331 | + | 15.5690i | −0.440370 | + | 0.547038i | ||||
\(811\) | −8.33142 | + | 41.8849i | −0.292556 | + | 1.47078i | 0.502677 | + | 0.864474i | \(0.332348\pi\) |
−0.795233 | + | 0.606304i | \(0.792652\pi\) | |||||||
\(812\) | −1.38107 | −0.0484662 | ||||||||
\(813\) | 0.292412 | − | 1.47005i | 0.0102553 | − | 0.0515570i | ||||
\(814\) | 3.14462 | + | 7.59178i | 0.110219 | + | 0.266092i | ||||
\(815\) | −28.1291 | − | 2.50270i | −0.985318 | − | 0.0876656i | ||||
\(816\) | −0.0203372 | + | 0.340693i | −0.000711944 | + | 0.0119266i | ||||
\(817\) | −1.68325 | + | 1.68325i | −0.0588894 | + | 0.0588894i | ||||
\(818\) | 4.46391 | − | 10.7768i | 0.156077 | − | 0.376803i | ||||
\(819\) | 0.0693448 | + | 0.103782i | 0.00242310 | + | 0.00362643i | ||||
\(820\) | 1.13292 | − | 12.7334i | 0.0395631 | − | 0.444670i | ||||
\(821\) | 27.6940 | + | 5.50868i | 0.966528 | + | 0.192254i | 0.653028 | − | 0.757334i | \(-0.273498\pi\) |
0.313500 | + | 0.949588i | \(0.398498\pi\) | |||||||
\(822\) | −0.816925 | + | 0.162496i | −0.0284935 | + | 0.00566772i | ||||
\(823\) | 13.5628 | + | 9.06235i | 0.472769 | + | 0.315894i | 0.769030 | − | 0.639213i | \(-0.220740\pi\) |
−0.296261 | + | 0.955107i | \(0.595740\pi\) | |||||||
\(824\) | −2.25597 | + | 5.44639i | −0.0785904 | + | 0.189734i | ||||
\(825\) | 0.130167 | + | 0.595436i | 0.00453184 | + | 0.0207304i | ||||
\(826\) | −0.110103 | − | 0.553525i | −0.00383097 | − | 0.0192596i | ||||
\(827\) | 3.30492 | + | 16.6149i | 0.114923 | + | 0.577758i | 0.994739 | + | 0.102443i | \(0.0326660\pi\) |
−0.879816 | + | 0.475315i | \(0.842334\pi\) | |||||||
\(828\) | −18.5861 | + | 12.4189i | −0.645912 | + | 0.431585i | ||||
\(829\) | −38.9490 | + | 38.9490i | −1.35276 | + | 1.35276i | −0.470192 | + | 0.882564i | \(0.655815\pi\) |
−0.882564 | + | 0.470192i | \(0.844185\pi\) | |||||||
\(830\) | −1.81220 | + | 6.18349i | −0.0629024 | + | 0.214632i | ||||
\(831\) | −0.529589 | + | 0.219363i | −0.0183712 | + | 0.00760962i | ||||
\(832\) | 0.114319 | + | 0.114319i | 0.00396331 | + | 0.00396331i | ||||
\(833\) | 14.4377 | + | 24.6737i | 0.500238 | + | 0.854894i | ||||
\(834\) | − | 0.289843i | − | 0.0100364i | ||||||
\(835\) | −14.9923 | − | 47.7946i | −0.518829 | − | 1.65400i | ||||
\(836\) | −1.39769 | + | 0.933906i | −0.0483401 | + | 0.0322998i | ||||
\(837\) | 4.14301i | 0.143203i | ||||||||
\(838\) | 12.1907 | + | 18.2447i | 0.421121 | + | 0.630253i | ||||
\(839\) | 12.1553 | − | 18.1916i | 0.419646 | − | 0.628045i | −0.560067 | − | 0.828447i | \(-0.689225\pi\) |
0.979714 | + | 0.200402i | \(0.0642248\pi\) | |||||||
\(840\) | 0.00512775 | + | 0.0474666i | 0.000176924 | + | 0.00163775i | ||||
\(841\) | −0.305896 | − | 0.126706i | −0.0105481 | − | 0.00436919i | ||||
\(842\) | −7.09362 | − | 17.1255i | −0.244462 | − | 0.590184i | ||||
\(843\) | −0.603667 | + | 0.903452i | −0.0207914 | + | 0.0311165i | ||||
\(844\) | 13.5475 | + | 9.05212i | 0.466323 | + | 0.311587i | ||||
\(845\) | 13.9162 | + | 25.4547i | 0.478733 | + | 0.875670i | ||||
\(846\) | −19.3505 | − | 19.3505i | −0.665283 | − | 0.665283i | ||||
\(847\) | 2.23416 | + | 0.444402i | 0.0767667 | + | 0.0152698i | ||||
\(848\) | 0.845248 | + | 0.350113i | 0.0290259 | + | 0.0120229i | ||||
\(849\) | −2.12121 | −0.0727996 | ||||||||
\(850\) | −15.1591 | + | 13.9714i | −0.519954 | + | 0.479216i | ||||
\(851\) | 41.6727 | 1.42852 | ||||||||
\(852\) | −0.738766 | − | 0.306007i | −0.0253097 | − | 0.0104836i | ||||
\(853\) | 25.1477 | + | 5.00218i | 0.861039 | + | 0.171271i | 0.605810 | − | 0.795609i | \(-0.292849\pi\) |
0.255229 | + | 0.966881i | \(0.417849\pi\) | |||||||
\(854\) | 0.727554 | + | 0.727554i | 0.0248964 | + | 0.0248964i | ||||
\(855\) | 3.66483 | + | 6.70349i | 0.125335 | + | 0.229254i | ||||
\(856\) | 9.89743 | + | 6.61325i | 0.338287 | + | 0.226036i | ||||
\(857\) | 5.18750 | − | 7.76364i | 0.177202 | − | 0.265201i | −0.732227 | − | 0.681060i | \(-0.761519\pi\) |
0.909429 | + | 0.415859i | \(0.136519\pi\) | |||||||
\(858\) | −0.00754182 | − | 0.0182076i | −0.000257474 | − | 0.000621596i | ||||
\(859\) | −33.5333 | − | 13.8900i | −1.14414 | − | 0.473919i | −0.271577 | − | 0.962417i | \(-0.587545\pi\) |
−0.872565 | + | 0.488498i | \(0.837545\pi\) | |||||||
\(860\) | 0.500834 | + | 4.63613i | 0.0170783 | + | 0.158091i | ||||
\(861\) | −0.0678162 | + | 0.101494i | −0.00231117 | + | 0.00345891i | ||||
\(862\) | −12.8943 | − | 19.2976i | −0.439180 | − | 0.657279i | ||||
\(863\) | 9.93626i | 0.338234i | 0.985596 | + | 0.169117i | \(0.0540916\pi\) | ||||
−0.985596 | + | 0.169117i | \(0.945908\pi\) | |||||||
\(864\) | 0.412489 | − | 0.275616i | 0.0140332 | − | 0.00937666i | ||||
\(865\) | 1.94252 | + | 6.19267i | 0.0660478 | + | 0.210557i | ||||
\(866\) | 16.5988i | 0.564049i | ||||||||
\(867\) | 1.40303 | − | 0.108394i | 0.0476495 | − | 0.00368125i | ||||
\(868\) | −1.52316 | − | 1.52316i | −0.0516995 | − | 0.0516995i | ||||
\(869\) | −0.974782 | + | 0.403768i | −0.0330672 | + | 0.0136969i | ||||
\(870\) | 0.278728 | − | 0.951061i | 0.00944978 | − | 0.0322440i | ||||
\(871\) | 1.30880 | − | 1.30880i | 0.0443471 | − | 0.0443471i | ||||
\(872\) | −11.4151 | + | 7.62731i | −0.386563 | + | 0.258293i | ||||
\(873\) | 2.05967 | + | 10.3547i | 0.0697094 | + | 0.350453i | ||||
\(874\) | 1.66312 | + | 8.36106i | 0.0562558 | + | 0.282817i | ||||
\(875\) | −1.76564 | + | 2.28011i | −0.0596894 | + | 0.0770817i | ||||
\(876\) | −0.0985507 | + | 0.237922i | −0.00332972 | + | 0.00803866i | ||||
\(877\) | 8.09697 | + | 5.41022i | 0.273415 | + | 0.182690i | 0.684717 | − | 0.728809i | \(-0.259926\pi\) |
−0.411302 | + | 0.911499i | \(0.634926\pi\) | |||||||
\(878\) | 20.1023 | − | 3.99860i | 0.678420 | − | 0.134946i | ||||
\(879\) | 0.974586 | + | 0.193857i | 0.0328720 | + | 0.00653864i | ||||
\(880\) | −0.291821 | + | 3.27992i | −0.00983729 | + | 0.110566i | ||||
\(881\) | −21.9708 | − | 32.8816i | −0.740215 | − | 1.10781i | −0.990213 | − | 0.139564i | \(-0.955430\pi\) |
0.249998 | − | 0.968246i | \(-0.419570\pi\) | |||||||
\(882\) | 7.94179 | − | 19.1732i | 0.267414 | − | 0.645594i | ||||
\(883\) | 18.9653 | − | 18.9653i | 0.638234 | − | 0.638234i | −0.311885 | − | 0.950120i | \(-0.600961\pi\) |
0.950120 | + | 0.311885i | \(0.100961\pi\) | |||||||
\(884\) | 0.402706 | − | 0.531198i | 0.0135445 | − | 0.0178661i | ||||
\(885\) | 0.403399 | + | 0.0358912i | 0.0135601 | + | 0.00120647i | ||||
\(886\) | 9.64935 | + | 23.2956i | 0.324176 | + | 0.782631i | ||||
\(887\) | −1.28134 | + | 6.44173i | −0.0430232 | + | 0.216292i | −0.996316 | − | 0.0857546i | \(-0.972670\pi\) |
0.953293 | + | 0.302047i | \(0.0976699\pi\) | |||||||
\(888\) | −0.461900 | −0.0155004 | ||||||||
\(889\) | −1.07148 | + | 5.38667i | −0.0359361 | + | 0.180663i | ||||
\(890\) | 19.7723 | − | 24.5617i | 0.662769 | − | 0.823308i | ||||
\(891\) | 12.9099 | − | 2.56794i | 0.432499 | − | 0.0860293i | ||||
\(892\) | −12.5139 | + | 5.18342i | −0.418996 | + | 0.173554i | ||||
\(893\) | −9.64200 | + | 3.99385i | −0.322657 | + | 0.133649i | ||||
\(894\) | 1.43112 | − | 0.284668i | 0.0478638 | − | 0.00952071i | ||||
\(895\) | −4.97785 | − | 46.0790i | −0.166391 | − | 1.54025i | ||||
\(896\) | −0.0503208 | + | 0.252980i | −0.00168110 | + | 0.00845146i | ||||
\(897\) | −0.0999448 | −0.00333706 | ||||||||
\(898\) | −6.11365 | + | 30.7354i | −0.204015 | + | 1.02565i | ||||
\(899\) | 17.1118 | + | 41.3114i | 0.570709 | + | 1.37781i | ||||
\(900\) | 14.7307 | + | 2.64215i | 0.491022 | + | 0.0880715i | ||||
\(901\) | 0.955066 | − | 3.64928i | 0.0318179 | − | 0.121575i | ||||
\(902\) | −5.95316 | + | 5.95316i | −0.198219 | + | 0.198219i | ||||
\(903\) | 0.0170393 | − | 0.0411365i | 0.000567033 | − | 0.00136894i | ||||
\(904\) | 6.03291 | + | 9.02889i | 0.200652 | + | 0.300297i | ||||
\(905\) | 19.1876 | + | 1.70716i | 0.637819 | + | 0.0567480i | ||||
\(906\) | −0.857113 | − | 0.170490i | −0.0284757 | − | 0.00566416i | ||||
\(907\) | −15.2735 | + | 3.03808i | −0.507148 | + | 0.100878i | −0.442031 | − | 0.897000i | \(-0.645742\pi\) |
−0.0651165 | + | 0.997878i | \(0.520742\pi\) | |||||||
\(908\) | 15.7057 | + | 10.4942i | 0.521212 | + | 0.348262i | ||||
\(909\) | 11.5633 | − | 27.9163i | 0.383531 | − | 0.925927i | ||||
\(910\) | 0.0431780 | − | 0.0826470i | 0.00143134 | − | 0.00273972i | ||||
\(911\) | 10.1709 | + | 51.1324i | 0.336976 | + | 1.69409i | 0.662909 | + | 0.748700i | \(0.269322\pi\) |
−0.325933 | + | 0.945393i | \(0.605678\pi\) | |||||||
\(912\) | −0.0184340 | − | 0.0926740i | −0.000610411 | − | 0.00306874i | ||||
\(913\) | 3.52841 | − | 2.35761i | 0.116773 | − | 0.0780254i | ||||
\(914\) | 28.6194 | − | 28.6194i | 0.946644 | − | 0.946644i | ||||
\(915\) | −0.647856 | + | 0.354187i | −0.0214175 | + | 0.0117091i | ||||
\(916\) | 2.81531 | − | 1.16614i | 0.0930206 | − | 0.0385304i | ||||
\(917\) | −3.60460 | − | 3.60460i | −0.119034 | − | 0.119034i | ||||
\(918\) | −1.35760 | − | 1.52997i | −0.0448075 | − | 0.0504966i | ||||
\(919\) | − | 29.2861i | − | 0.966058i | −0.875604 | − | 0.483029i | \(-0.839536\pi\) | ||
0.875604 | − | 0.483029i | \(-0.160464\pi\) | |||||||
\(920\) | 14.8011 | + | 7.73269i | 0.487979 | + | 0.254939i | ||||
\(921\) | 0.888296 | − | 0.593540i | 0.0292703 | − | 0.0195578i | ||||
\(922\) | 29.2590i | 0.963593i | ||||||||
\(923\) | 0.867669 | + | 1.29856i | 0.0285597 | + | 0.0427426i | ||||
\(924\) | 0.0174684 | − | 0.0261433i | 0.000574667 | − | 0.000860051i | ||||
\(925\) | −20.0972 | − | 19.3526i | −0.660792 | − | 0.636309i | ||||
\(926\) | 3.25150 | + | 1.34681i | 0.106851 | + | 0.0442591i | ||||
\(927\) | −6.75245 | − | 16.3019i | −0.221780 | − | 0.535423i | ||||
\(928\) | 2.97471 | − | 4.45197i | 0.0976496 | − | 0.146143i | ||||
\(929\) | 11.1709 | + | 7.46413i | 0.366504 | + | 0.244890i | 0.725161 | − | 0.688579i | \(-0.241765\pi\) |
−0.358657 | + | 0.933469i | \(0.616765\pi\) | |||||||
\(930\) | 1.35631 | − | 0.741504i | 0.0444752 | − | 0.0243149i | ||||
\(931\) | −5.59640 | − | 5.59640i | −0.183415 | − | 0.183415i | ||||
\(932\) | 12.8732 | + | 2.56065i | 0.421677 | + | 0.0838767i | ||||
\(933\) | −0.915941 | − | 0.379395i | −0.0299866 | − | 0.0124208i | ||||
\(934\) | 19.8759 | 0.650359 | ||||||||
\(935\) | 13.5613 | − | 0.651283i | 0.443501 | − | 0.0212992i | ||||
\(936\) | −0.483908 | −0.0158170 | ||||||||
\(937\) | 21.9055 | + | 9.07356i | 0.715622 | + | 0.296420i | 0.710629 | − | 0.703567i | \(-0.248411\pi\) |
0.00499325 | + | 0.999988i | \(0.498411\pi\) | |||||||
\(938\) | 2.89628 | + | 0.576105i | 0.0945667 | + | 0.0188105i | ||||
\(939\) | −1.38406 | − | 1.38406i | −0.0451669 | − | 0.0451669i | ||||
\(940\) | −5.74967 | + | 19.6187i | −0.187534 | + | 0.639892i | ||||
\(941\) | −8.08137 | − | 5.39980i | −0.263445 | − | 0.176028i | 0.416832 | − | 0.908984i | \(-0.363140\pi\) |
−0.680277 | + | 0.732955i | \(0.738140\pi\) | |||||||
\(942\) | 0.536256 | − | 0.802564i | 0.0174722 | − | 0.0261490i | ||||
\(943\) | 16.3390 | + | 39.4458i | 0.532071 | + | 1.28453i | ||||
\(944\) | 2.02147 | + | 0.837319i | 0.0657932 | + | 0.0272524i | ||||
\(945\) | −0.222884 | − | 0.179423i | −0.00725042 | − | 0.00583664i | ||||
\(946\) | 1.70616 | − | 2.55345i | 0.0554721 | − | 0.0830198i | ||||
\(947\) | −21.2006 | − | 31.7290i | −0.688928 | − | 1.03105i | −0.996824 | − | 0.0796341i | \(-0.974625\pi\) |
0.307896 | − | 0.951420i | \(-0.400375\pi\) | |||||||
\(948\) | − | 0.0593078i | − | 0.00192623i | ||||||
\(949\) | 0.418206 | − | 0.279436i | 0.0135755 | − | 0.00907089i | ||||
\(950\) | 3.08077 | − | 4.80458i | 0.0999535 | − | 0.155881i | ||||
\(951\) | 1.04605i | 0.0339205i | ||||||||
\(952\) | 1.06161 | + | 0.0633712i | 0.0344069 | + | 0.00205387i | ||||
\(953\) | −25.0479 | − | 25.0479i | −0.811382 | − | 0.811382i | 0.173459 | − | 0.984841i | \(-0.444506\pi\) |
−0.984841 | + | 0.173459i | \(0.944506\pi\) | |||||||
\(954\) | −2.52995 | + | 1.04794i | −0.0819102 | + | 0.0339283i | ||||
\(955\) | −10.1685 | − | 2.98010i | −0.329046 | − | 0.0964338i | ||||
\(956\) | −0.975009 | + | 0.975009i | −0.0315340 | + | 0.0315340i | ||||
\(957\) | −0.542693 | + | 0.362616i | −0.0175428 | + | 0.0117217i | ||||
\(958\) | −6.84962 | − | 34.4354i | −0.221301 | − | 1.11256i | ||||
\(959\) | 0.506343 | + | 2.54556i | 0.0163507 | + | 0.0822003i | ||||
\(960\) | −0.164056 | − | 0.0857092i | −0.00529488 | − | 0.00276625i | ||||
\(961\) | −14.8262 | + | 35.7936i | −0.478265 | + | 1.15463i | ||||
\(962\) | 0.750098 | + | 0.501200i | 0.0241841 | + | 0.0161593i | ||||
\(963\) | −34.9444 | + | 6.95088i | −1.12607 | + | 0.223989i | ||||
\(964\) | 15.5431 | + | 3.09171i | 0.500609 | + | 0.0995774i | ||||
\(965\) | 1.06511 | − | 0.891065i | 0.0342871 | − | 0.0286844i | ||||
\(966\) | −0.0885882 | − | 0.132582i | −0.00285028 | − | 0.00426574i | ||||
\(967\) | −1.41958 | + | 3.42717i | −0.0456506 | + | 0.110210i | −0.945060 | − | 0.326897i | \(-0.893997\pi\) |
0.899409 | + | 0.437107i | \(0.143997\pi\) | |||||||
\(968\) | −6.24473 | + | 6.24473i | −0.200713 | + | 0.200713i | ||||
\(969\) | −0.368179 | + | 0.127377i | −0.0118276 | + | 0.00409195i | ||||
\(970\) | 6.04936 | − | 5.06086i | 0.194233 | − | 0.162494i | ||||
\(971\) | −9.25135 | − | 22.3347i | −0.296890 | − | 0.716755i | −0.999984 | − | 0.00565869i | \(-0.998199\pi\) |
0.703094 | − | 0.711097i | \(-0.251801\pi\) | |||||||
\(972\) | −0.434697 | + | 2.18537i | −0.0139429 | + | 0.0700957i | ||||
\(973\) | −0.903156 | −0.0289539 | ||||||||
\(974\) | −5.67470 | + | 28.5287i | −0.181829 | + | 0.914117i | ||||
\(975\) | 0.0481997 | + | 0.0464139i | 0.00154363 | + | 0.00148643i | ||||
\(976\) | −3.91239 | + | 0.778223i | −0.125233 | + | 0.0249103i | ||||
\(977\) | −14.2158 | + | 5.88840i | −0.454805 | + | 0.188387i | −0.598313 | − | 0.801263i | \(-0.704162\pi\) |
0.143507 | + | 0.989649i | \(0.454162\pi\) | |||||||
\(978\) | −0.965848 | + | 0.400067i | −0.0308844 | + | 0.0127927i | ||||
\(979\) | −20.3667 | + | 4.05119i | −0.650923 | + | 0.129477i | ||||
\(980\) | −15.4140 | + | 1.66516i | −0.492383 | + | 0.0531915i | ||||
\(981\) | 8.01671 | − | 40.3027i | 0.255954 | − | 1.28677i | ||||
\(982\) | 40.7919 | 1.30172 | ||||||||
\(983\) | 6.32160 | − | 31.7808i | 0.201628 | − | 1.01365i | −0.738869 | − | 0.673849i | \(-0.764640\pi\) |
0.940497 | − | 0.339802i | \(-0.110360\pi\) | |||||||
\(984\) | −0.181102 | − | 0.437218i | −0.00577331 | − | 0.0139380i | ||||
\(985\) | 3.76415 | − | 42.3071i | 0.119936 | − | 1.34802i | ||||
\(986\) | −19.8564 | − | 9.64864i | −0.632355 | − | 0.307275i | ||||
\(987\) | 0.138034 | − | 0.138034i | 0.00439367 | − | 0.00439367i | ||||
\(988\) | −0.0706232 | + | 0.170500i | −0.00224682 | + | 0.00542431i | ||||
\(989\) | −8.65253 | − | 12.9494i | −0.275134 | − | 0.411768i | ||||
\(990\) | −6.32425 | − | 7.55951i | −0.200998 | − | 0.240257i | ||||
\(991\) | −28.9831 | − | 5.76510i | −0.920678 | − | 0.183134i | −0.288073 | − | 0.957609i | \(-0.593015\pi\) |
−0.632605 | + | 0.774474i | \(0.718015\pi\) | |||||||
\(992\) | 8.19075 | − | 1.62924i | 0.260056 | − | 0.0517284i | ||||
\(993\) | −1.59990 | − | 1.06902i | −0.0507714 | − | 0.0339244i | ||||
\(994\) | −0.953524 | + | 2.30201i | −0.0302440 | + | 0.0730154i | ||||
\(995\) | −2.28469 | − | 7.28348i | −0.0724296 | − | 0.230902i | ||||
\(996\) | 0.0465359 | + | 0.233952i | 0.00147455 | + | 0.00741305i | ||||
\(997\) | −4.17950 | − | 21.0118i | −0.132366 | − | 0.665449i | −0.988807 | − | 0.149203i | \(-0.952329\pi\) |
0.856441 | − | 0.516246i | \(-0.172671\pi\) | |||||||
\(998\) | −15.0534 | + | 10.0584i | −0.476507 | + | 0.318392i | ||||
\(999\) | 1.95744 | − | 1.95744i | 0.0619306 | − | 0.0619306i |
(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 | 170.2.o.a.63.2 | yes | 32 | |
5.2 | odd | 4 | 170.2.r.a.97.2 | yes | 32 | ||
5.3 | odd | 4 | 850.2.v.c.607.3 | 32 | |||
5.4 | even | 2 | 850.2.s.c.743.3 | 32 | |||
17.10 | odd | 16 | 170.2.r.a.163.2 | yes | 32 | ||
85.27 | even | 16 | inner | 170.2.o.a.27.2 | ✓ | 32 | |
85.44 | odd | 16 | 850.2.v.c.843.3 | 32 | |||
85.78 | even | 16 | 850.2.s.c.707.3 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
170.2.o.a.27.2 | ✓ | 32 | 85.27 | even | 16 | inner | |
170.2.o.a.63.2 | yes | 32 | 1.1 | even | 1 | trivial | |
170.2.r.a.97.2 | yes | 32 | 5.2 | odd | 4 | ||
170.2.r.a.163.2 | yes | 32 | 17.10 | odd | 16 | ||
850.2.s.c.707.3 | 32 | 85.78 | even | 16 | |||
850.2.s.c.743.3 | 32 | 5.4 | even | 2 | |||
850.2.v.c.607.3 | 32 | 5.3 | odd | 4 | |||
850.2.v.c.843.3 | 32 | 85.44 | odd | 16 |