Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(83,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 21]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.83");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.k (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 111.1 | ||
Character | \(\chi\) | \(=\) | 322.111 |
Dual form | 322.2.k.a.293.1 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{15}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.415415 | + | 0.909632i | 0.293743 | + | 0.643207i | ||||
\(3\) | −0.760851 | − | 2.59122i | −0.439277 | − | 1.49604i | −0.820548 | − | 0.571578i | \(-0.806332\pi\) |
0.381271 | − | 0.924463i | \(-0.375487\pi\) | |||||||
\(4\) | −0.654861 | + | 0.755750i | −0.327430 | + | 0.377875i | ||||
\(5\) | 2.71881 | + | 1.74727i | 1.21589 | + | 0.781404i | 0.981634 | − | 0.190772i | \(-0.0610990\pi\) |
0.234254 | + | 0.972176i | \(0.424735\pi\) | |||||||
\(6\) | 2.04099 | − | 1.76853i | 0.833229 | − | 0.721997i | ||||
\(7\) | 0.0953475 | − | 2.64403i | 0.0360379 | − | 0.999350i | ||||
\(8\) | −0.959493 | − | 0.281733i | −0.339232 | − | 0.0996075i | ||||
\(9\) | −3.61176 | + | 2.32114i | −1.20392 | + | 0.773713i | ||||
\(10\) | −0.459941 | + | 3.19896i | −0.145446 | + | 1.01160i | ||||
\(11\) | 0.903659 | + | 0.412687i | 0.272464 | + | 0.124430i | 0.546962 | − | 0.837158i | \(-0.315784\pi\) |
−0.274498 | + | 0.961588i | \(0.588512\pi\) | |||||||
\(12\) | 2.45656 | + | 1.12188i | 0.709149 | + | 0.323857i | ||||
\(13\) | 5.14397 | + | 0.739591i | 1.42668 | + | 0.205126i | 0.812003 | − | 0.583653i | \(-0.198377\pi\) |
0.614677 | + | 0.788779i | \(0.289286\pi\) | |||||||
\(14\) | 2.44471 | − | 1.01164i | 0.653375 | − | 0.270372i | ||||
\(15\) | 2.45896 | − | 8.37444i | 0.634900 | − | 2.16227i | ||||
\(16\) | −0.142315 | − | 0.989821i | −0.0355787 | − | 0.247455i | ||||
\(17\) | −4.81565 | − | 5.55756i | −1.16797 | − | 1.34791i | −0.925955 | − | 0.377634i | \(-0.876738\pi\) |
−0.242013 | − | 0.970273i | \(-0.577808\pi\) | |||||||
\(18\) | −3.61176 | − | 2.32114i | −0.851300 | − | 0.547098i | ||||
\(19\) | 1.19669 | − | 1.38105i | 0.274539 | − | 0.316835i | −0.601690 | − | 0.798730i | \(-0.705506\pi\) |
0.876229 | + | 0.481895i | \(0.160051\pi\) | |||||||
\(20\) | −3.10094 | + | 0.910518i | −0.693391 | + | 0.203598i | ||||
\(21\) | −6.92381 | + | 1.76465i | −1.51090 | + | 0.385078i | ||||
\(22\) | 0.993434i | 0.211801i | ||||||||
\(23\) | 3.70768 | − | 3.04189i | 0.773106 | − | 0.634277i | ||||
\(24\) | 2.70061i | 0.551260i | ||||||||
\(25\) | 2.26188 | + | 4.95284i | 0.452377 | + | 0.990567i | ||||
\(26\) | 1.46413 | + | 4.98635i | 0.287139 | + | 0.977905i | ||||
\(27\) | 2.63963 | + | 2.28725i | 0.507996 | + | 0.440181i | ||||
\(28\) | 1.93579 | + | 1.80353i | 0.365829 | + | 0.340836i | ||||
\(29\) | 0.920574 | + | 1.06240i | 0.170946 | + | 0.197283i | 0.834758 | − | 0.550617i | \(-0.185608\pi\) |
−0.663811 | + | 0.747900i | \(0.731062\pi\) | |||||||
\(30\) | 8.63915 | − | 1.24212i | 1.57729 | − | 0.226779i | ||||
\(31\) | −1.36388 | + | 4.64494i | −0.244960 | + | 0.834256i | 0.741598 | + | 0.670844i | \(0.234068\pi\) |
−0.986558 | + | 0.163412i | \(0.947750\pi\) | |||||||
\(32\) | 0.841254 | − | 0.540641i | 0.148714 | − | 0.0955727i | ||||
\(33\) | 0.381814 | − | 2.65557i | 0.0664652 | − | 0.462276i | ||||
\(34\) | 3.05484 | − | 6.68917i | 0.523901 | − | 1.14718i | ||||
\(35\) | 4.87908 | − | 7.02202i | 0.824714 | − | 1.18694i | ||||
\(36\) | 0.611002 | − | 4.24961i | 0.101834 | − | 0.708268i | ||||
\(37\) | 3.29838 | + | 5.13238i | 0.542251 | + | 0.843759i | 0.998948 | − | 0.0458636i | \(-0.0146040\pi\) |
−0.456697 | + | 0.889622i | \(0.650968\pi\) | |||||||
\(38\) | 1.75337 | + | 0.514837i | 0.284435 | + | 0.0835175i | ||||
\(39\) | −1.99735 | − | 13.8919i | −0.319832 | − | 2.22448i | ||||
\(40\) | −2.11641 | − | 2.44247i | −0.334634 | − | 0.386189i | ||||
\(41\) | −5.69725 | + | 8.86510i | −0.889761 | + | 1.38450i | 0.0331370 | + | 0.999451i | \(0.489450\pi\) |
−0.922898 | + | 0.385044i | \(0.874186\pi\) | |||||||
\(42\) | −4.48144 | − | 5.56506i | −0.691501 | − | 0.858707i | ||||
\(43\) | 2.81801 | + | 9.59725i | 0.429742 | + | 1.46357i | 0.835451 | + | 0.549565i | \(0.185206\pi\) |
−0.405709 | + | 0.914002i | \(0.632975\pi\) | |||||||
\(44\) | −0.903659 | + | 0.412687i | −0.136232 | + | 0.0622150i | ||||
\(45\) | −13.8753 | −2.06841 | ||||||||
\(46\) | 4.30723 | + | 2.10898i | 0.635066 | + | 0.310953i | ||||
\(47\) | − | 7.29727i | − | 1.06442i | −0.846614 | − | 0.532208i | \(-0.821362\pi\) | ||
0.846614 | − | 0.532208i | \(-0.178638\pi\) | |||||||
\(48\) | −2.45656 | + | 1.12188i | −0.354574 | + | 0.161929i | ||||
\(49\) | −6.98182 | − | 0.504204i | −0.997403 | − | 0.0720291i | ||||
\(50\) | −3.56564 | + | 4.11497i | −0.504257 | + | 0.581944i | ||||
\(51\) | −10.7369 | + | 16.7069i | −1.50346 | + | 2.33943i | ||||
\(52\) | −3.92753 | + | 3.40322i | −0.544650 | + | 0.471942i | ||||
\(53\) | −6.00768 | + | 0.863774i | −0.825218 | + | 0.118648i | −0.541970 | − | 0.840398i | \(-0.682321\pi\) |
−0.283249 | + | 0.959047i | \(0.591412\pi\) | |||||||
\(54\) | −0.984015 | + | 3.35125i | −0.133907 | + | 0.456047i | ||||
\(55\) | 1.73580 | + | 2.70096i | 0.234055 | + | 0.364197i | ||||
\(56\) | −0.836395 | + | 2.51007i | −0.111768 | + | 0.335422i | ||||
\(57\) | −4.48911 | − | 2.05011i | −0.594597 | − | 0.271543i | ||||
\(58\) | −0.583972 | + | 1.27872i | −0.0766793 | + | 0.167904i | ||||
\(59\) | −5.52767 | − | 0.794758i | −0.719641 | − | 0.103469i | −0.227242 | − | 0.973838i | \(-0.572971\pi\) |
−0.492399 | + | 0.870370i | \(0.663880\pi\) | |||||||
\(60\) | 4.71871 | + | 7.34245i | 0.609182 | + | 0.947906i | ||||
\(61\) | 3.21714 | + | 0.944636i | 0.411912 | + | 0.120948i | 0.481122 | − | 0.876654i | \(-0.340230\pi\) |
−0.0692096 | + | 0.997602i | \(0.522048\pi\) | |||||||
\(62\) | −4.79176 | + | 0.688951i | −0.608554 | + | 0.0874969i | ||||
\(63\) | 5.79279 | + | 9.77093i | 0.729823 | + | 1.23102i | ||||
\(64\) | 0.841254 | + | 0.540641i | 0.105157 | + | 0.0675801i | ||||
\(65\) | 12.6932 | + | 10.9987i | 1.57440 | + | 1.36422i | ||||
\(66\) | 2.57421 | − | 0.755855i | 0.316863 | − | 0.0930393i | ||||
\(67\) | −5.13674 | + | 2.34587i | −0.627552 | + | 0.286594i | −0.703694 | − | 0.710504i | \(-0.748467\pi\) |
0.0761414 | + | 0.997097i | \(0.475740\pi\) | |||||||
\(68\) | 7.35371 | 0.891768 | ||||||||
\(69\) | −10.7032 | − | 7.29300i | −1.28851 | − | 0.877974i | ||||
\(70\) | 8.41430 | + | 1.52111i | 1.00570 | + | 0.181808i | ||||
\(71\) | 0.102190 | + | 0.223764i | 0.0121277 | + | 0.0265559i | 0.915599 | − | 0.402093i | \(-0.131717\pi\) |
−0.903471 | + | 0.428649i | \(0.858990\pi\) | |||||||
\(72\) | 4.11940 | − | 1.20956i | 0.485476 | − | 0.142549i | ||||
\(73\) | −0.551966 | − | 0.478281i | −0.0646027 | − | 0.0559786i | 0.621961 | − | 0.783048i | \(-0.286336\pi\) |
−0.686564 | + | 0.727070i | \(0.740882\pi\) | |||||||
\(74\) | −3.29838 | + | 5.13238i | −0.383429 | + | 0.596628i | ||||
\(75\) | 11.1129 | − | 9.62941i | 1.28321 | − | 1.11191i | ||||
\(76\) | 0.260065 | + | 1.80879i | 0.0298315 | + | 0.207483i | ||||
\(77\) | 1.17732 | − | 2.34996i | 0.134168 | − | 0.267802i | ||||
\(78\) | 11.8068 | − | 7.58774i | 1.33685 | − | 0.859143i | ||||
\(79\) | −0.298336 | − | 0.0428943i | −0.0335654 | − | 0.00482598i | 0.125512 | − | 0.992092i | \(-0.459943\pi\) |
−0.159077 | + | 0.987266i | \(0.550852\pi\) | |||||||
\(80\) | 1.34256 | − | 2.93980i | 0.150103 | − | 0.328679i | ||||
\(81\) | −1.43211 | + | 3.13589i | −0.159124 | + | 0.348432i | ||||
\(82\) | −10.4307 | − | 1.49971i | −1.15188 | − | 0.165615i | ||||
\(83\) | −12.8035 | + | 8.22828i | −1.40536 | + | 0.903171i | −0.999940 | − | 0.0109585i | \(-0.996512\pi\) |
−0.405422 | + | 0.914130i | \(0.632875\pi\) | |||||||
\(84\) | 3.20050 | − | 6.38827i | 0.349203 | − | 0.697017i | ||||
\(85\) | −3.38227 | − | 23.5242i | −0.366859 | − | 2.55156i | ||||
\(86\) | −7.55932 | + | 6.55019i | −0.815143 | + | 0.706325i | ||||
\(87\) | 2.05249 | − | 3.19374i | 0.220050 | − | 0.342404i | ||||
\(88\) | −0.750787 | − | 0.650561i | −0.0800342 | − | 0.0693500i | ||||
\(89\) | −8.66754 | + | 2.54502i | −0.918758 | + | 0.269772i | −0.706723 | − | 0.707490i | \(-0.749827\pi\) |
−0.212035 | + | 0.977262i | \(0.568009\pi\) | |||||||
\(90\) | −5.76403 | − | 12.6215i | −0.607582 | − | 1.33042i | ||||
\(91\) | 2.44597 | − | 13.5303i | 0.256407 | − | 1.41836i | ||||
\(92\) | −0.129113 | + | 4.79409i | −0.0134609 | + | 0.499819i | ||||
\(93\) | 13.0738 | 1.35569 | ||||||||
\(94\) | 6.63783 | − | 3.03139i | 0.684640 | − | 0.312664i | ||||
\(95\) | 5.66664 | − | 1.66388i | 0.581385 | − | 0.170710i | ||||
\(96\) | −2.04099 | − | 1.76853i | −0.208307 | − | 0.180499i | ||||
\(97\) | 9.11261 | + | 5.85632i | 0.925245 | + | 0.594619i | 0.914175 | − | 0.405320i | \(-0.132840\pi\) |
0.0110702 | + | 0.999939i | \(0.496476\pi\) | |||||||
\(98\) | −2.44171 | − | 6.56034i | −0.246650 | − | 0.662694i | ||||
\(99\) | −4.22171 | + | 0.606990i | −0.424297 | + | 0.0610048i | ||||
\(100\) | −5.22432 | − | 1.53400i | −0.522432 | − | 0.153400i | ||||
\(101\) | 7.33622 | + | 11.4154i | 0.729981 | + | 1.13587i | 0.985600 | + | 0.169095i | \(0.0540844\pi\) |
−0.255619 | + | 0.966778i | \(0.582279\pi\) | |||||||
\(102\) | −19.6574 | − | 2.82630i | −1.94637 | − | 0.279846i | ||||
\(103\) | −3.39800 | + | 7.44058i | −0.334815 | + | 0.733142i | −0.999907 | − | 0.0136190i | \(-0.995665\pi\) |
0.665093 | + | 0.746761i | \(0.268392\pi\) | |||||||
\(104\) | −4.72723 | − | 2.15886i | −0.463543 | − | 0.211693i | ||||
\(105\) | −21.9078 | − | 7.30005i | −2.13799 | − | 0.712412i | ||||
\(106\) | −3.28140 | − | 5.10595i | −0.318717 | − | 0.495934i | ||||
\(107\) | 1.47125 | − | 5.01063i | 0.142231 | − | 0.484396i | −0.857306 | − | 0.514807i | \(-0.827864\pi\) |
0.999537 | + | 0.0304114i | \(0.00968174\pi\) | |||||||
\(108\) | −3.45718 | + | 0.497067i | −0.332667 | + | 0.0478303i | ||||
\(109\) | 7.52628 | − | 6.52156i | 0.720887 | − | 0.624652i | −0.215139 | − | 0.976584i | \(-0.569020\pi\) |
0.936026 | + | 0.351931i | \(0.114475\pi\) | |||||||
\(110\) | −1.73580 | + | 2.70096i | −0.165502 | + | 0.257526i | ||||
\(111\) | 10.7896 | − | 12.4518i | 1.02410 | − | 1.18187i | ||||
\(112\) | −2.63069 | + | 0.281908i | −0.248577 | + | 0.0266378i | ||||
\(113\) | 14.5791 | − | 6.65805i | 1.37149 | − | 0.626337i | 0.412805 | − | 0.910819i | \(-0.364549\pi\) |
0.958681 | + | 0.284483i | \(0.0918218\pi\) | |||||||
\(114\) | − | 4.93509i | − | 0.462213i | ||||||
\(115\) | 15.3955 | − | 1.79197i | 1.43564 | − | 0.167102i | ||||
\(116\) | −1.40576 | −0.130521 | ||||||||
\(117\) | −20.2955 | + | 9.26863i | −1.87632 | + | 0.856885i | ||||
\(118\) | −1.57334 | − | 5.35830i | −0.144838 | − | 0.493271i | ||||
\(119\) | −15.1535 | + | 12.2028i | −1.38912 | + | 1.11863i | ||||
\(120\) | −4.71871 | + | 7.34245i | −0.430757 | + | 0.670271i | ||||
\(121\) | −6.55718 | − | 7.56739i | −0.596107 | − | 0.687944i | ||||
\(122\) | 0.477175 | + | 3.31883i | 0.0432014 | + | 0.300472i | ||||
\(123\) | 27.3062 | + | 8.01781i | 2.46211 | + | 0.722942i | ||||
\(124\) | −2.61726 | − | 4.07254i | −0.235037 | − | 0.365725i | ||||
\(125\) | −0.204618 | + | 1.42315i | −0.0183016 | + | 0.127290i | ||||
\(126\) | −6.48154 | + | 9.32830i | −0.577421 | + | 0.831031i | ||||
\(127\) | 3.23614 | − | 7.08616i | 0.287161 | − | 0.628795i | −0.709991 | − | 0.704211i | \(-0.751301\pi\) |
0.997152 | + | 0.0754157i | \(0.0240284\pi\) | |||||||
\(128\) | −0.142315 | + | 0.989821i | −0.0125790 | + | 0.0874887i | ||||
\(129\) | 22.7245 | − | 14.6041i | 2.00078 | − | 1.28582i | ||||
\(130\) | −4.73184 | + | 16.1152i | −0.415010 | + | 1.41339i | ||||
\(131\) | 8.61915 | − | 1.23925i | 0.753058 | − | 0.108273i | 0.244913 | − | 0.969545i | \(-0.421241\pi\) |
0.508145 | + | 0.861272i | \(0.330331\pi\) | |||||||
\(132\) | 1.75691 | + | 2.02759i | 0.152920 | + | 0.176479i | ||||
\(133\) | −3.53745 | − | 3.29576i | −0.306736 | − | 0.285779i | ||||
\(134\) | −4.26776 | − | 3.69803i | −0.368678 | − | 0.319461i | ||||
\(135\) | 3.18019 | + | 10.8307i | 0.273707 | + | 0.932162i | ||||
\(136\) | 3.05484 | + | 6.68917i | 0.261950 | + | 0.573591i | ||||
\(137\) | 8.51513i | 0.727496i | 0.931497 | + | 0.363748i | \(0.118503\pi\) | ||||
−0.931497 | + | 0.363748i | \(0.881497\pi\) | |||||||
\(138\) | 2.18768 | − | 12.7656i | 0.186228 | − | 1.08668i | ||||
\(139\) | 1.17643i | 0.0997836i | 0.998755 | + | 0.0498918i | \(0.0158877\pi\) | ||||
−0.998755 | + | 0.0498918i | \(0.984112\pi\) | |||||||
\(140\) | 2.11177 | + | 8.28581i | 0.178477 | + | 0.700278i | ||||
\(141\) | −18.9088 | + | 5.55213i | −1.59241 | + | 0.467574i | ||||
\(142\) | −0.161092 | + | 0.185910i | −0.0135185 | + | 0.0156012i | ||||
\(143\) | 4.34317 | + | 2.79119i | 0.363195 | + | 0.233411i | ||||
\(144\) | 2.81152 | + | 3.24467i | 0.234293 | + | 0.270389i | ||||
\(145\) | 0.646564 | + | 4.49695i | 0.0536942 | + | 0.373452i | ||||
\(146\) | 0.205765 | − | 0.700771i | 0.0170292 | − | 0.0579962i | ||||
\(147\) | 4.00562 | + | 18.4750i | 0.330378 | + | 1.52380i | ||||
\(148\) | −6.03878 | − | 0.868245i | −0.496385 | − | 0.0713693i | ||||
\(149\) | 7.37675 | + | 3.36885i | 0.604327 | + | 0.275987i | 0.693989 | − | 0.719985i | \(-0.255852\pi\) |
−0.0896624 | + | 0.995972i | \(0.528579\pi\) | |||||||
\(150\) | 13.3757 | + | 6.10847i | 1.09212 | + | 0.498755i | ||||
\(151\) | −0.738616 | + | 5.13718i | −0.0601077 | + | 0.418058i | 0.937445 | + | 0.348134i | \(0.113185\pi\) |
−0.997552 | + | 0.0699238i | \(0.977724\pi\) | |||||||
\(152\) | −1.53730 | + | 0.987964i | −0.124692 | + | 0.0801345i | ||||
\(153\) | 30.2929 | + | 8.89479i | 2.44903 | + | 0.719101i | ||||
\(154\) | 2.62667 | + | 0.0947214i | 0.211663 | + | 0.00763287i | ||||
\(155\) | −11.8241 | + | 10.2456i | −0.949734 | + | 0.822949i | ||||
\(156\) | 11.8068 | + | 7.58774i | 0.945297 | + | 0.607506i | ||||
\(157\) | 10.8368 | − | 12.5063i | 0.864870 | − | 0.998114i | −0.135103 | − | 0.990832i | \(-0.543137\pi\) |
0.999973 | − | 0.00728211i | \(-0.00231799\pi\) | |||||||
\(158\) | −0.0849153 | − | 0.289195i | −0.00675550 | − | 0.0230071i | ||||
\(159\) | 6.80917 | + | 14.9100i | 0.540003 | + | 1.18244i | ||||
\(160\) | 3.23185 | 0.255500 | ||||||||
\(161\) | −7.68933 | − | 10.0933i | −0.606004 | − | 0.795462i | ||||
\(162\) | −3.44742 | −0.270855 | ||||||||
\(163\) | −2.99084 | − | 6.54902i | −0.234260 | − | 0.512959i | 0.755595 | − | 0.655039i | \(-0.227348\pi\) |
−0.989855 | + | 0.142081i | \(0.954621\pi\) | |||||||
\(164\) | −2.96889 | − | 10.1111i | −0.231831 | − | 0.789544i | ||||
\(165\) | 5.67809 | − | 6.55286i | 0.442038 | − | 0.510140i | ||||
\(166\) | −12.8035 | − | 8.22828i | −0.993741 | − | 0.638638i | ||||
\(167\) | −15.0206 | + | 13.0154i | −1.16233 | + | 1.00716i | −0.162539 | + | 0.986702i | \(0.551968\pi\) |
−0.999791 | + | 0.0204622i | \(0.993486\pi\) | |||||||
\(168\) | 7.14051 | + | 0.257497i | 0.550902 | + | 0.0198663i | ||||
\(169\) | 13.4400 | + | 3.94634i | 1.03385 | + | 0.303565i | ||||
\(170\) | 19.9933 | − | 12.8489i | 1.53342 | − | 0.985468i | ||||
\(171\) | −1.11654 | + | 7.76571i | −0.0853840 | + | 0.593859i | ||||
\(172\) | −9.09852 | − | 4.15515i | −0.693756 | − | 0.316828i | ||||
\(173\) | −13.3402 | − | 6.09228i | −1.01424 | − | 0.463188i | −0.162252 | − | 0.986749i | \(-0.551876\pi\) |
−0.851988 | + | 0.523562i | \(0.824603\pi\) | |||||||
\(174\) | 3.75776 | + | 0.540284i | 0.284875 | + | 0.0409588i | ||||
\(175\) | 13.3111 | − | 5.50826i | 1.00623 | − | 0.416385i | ||||
\(176\) | 0.279883 | − | 0.953193i | 0.0210970 | − | 0.0718496i | ||||
\(177\) | 2.14633 | + | 14.9281i | 0.161328 | + | 1.12206i | ||||
\(178\) | −5.91566 | − | 6.82704i | −0.443397 | − | 0.511708i | ||||
\(179\) | −20.2870 | − | 13.0377i | −1.51632 | − | 0.974481i | −0.992446 | − | 0.122686i | \(-0.960849\pi\) |
−0.523876 | − | 0.851795i | \(-0.675514\pi\) | |||||||
\(180\) | 9.08642 | − | 10.4863i | 0.677262 | − | 0.781602i | ||||
\(181\) | −2.79809 | + | 0.821594i | −0.207981 | + | 0.0610686i | −0.384063 | − | 0.923307i | \(-0.625476\pi\) |
0.176083 | + | 0.984375i | \(0.443657\pi\) | |||||||
\(182\) | 13.3237 | − | 3.39576i | 0.987617 | − | 0.251711i | ||||
\(183\) | − | 9.05503i | − | 0.669367i | ||||||
\(184\) | −4.41450 | + | 1.87409i | −0.325441 | + | 0.138160i | ||||
\(185\) | 19.7171i | 1.44963i | ||||||||
\(186\) | 5.43104 | + | 11.8923i | 0.398223 | + | 0.871987i | ||||
\(187\) | −2.05818 | − | 7.00950i | −0.150509 | − | 0.512586i | ||||
\(188\) | 5.51491 | + | 4.77869i | 0.402216 | + | 0.348522i | ||||
\(189\) | 6.29924 | − | 6.76118i | 0.458203 | − | 0.491803i | ||||
\(190\) | 3.86752 | + | 4.46336i | 0.280580 | + | 0.323806i | ||||
\(191\) | −5.33331 | + | 0.766815i | −0.385905 | + | 0.0554848i | −0.332537 | − | 0.943090i | \(-0.607905\pi\) |
−0.0533679 | + | 0.998575i | \(0.516996\pi\) | |||||||
\(192\) | 0.760851 | − | 2.59122i | 0.0549097 | − | 0.187005i | ||||
\(193\) | 14.5482 | − | 9.34957i | 1.04720 | − | 0.672997i | 0.100445 | − | 0.994943i | \(-0.467973\pi\) |
0.946758 | + | 0.321946i | \(0.104337\pi\) | |||||||
\(194\) | −1.54158 | + | 10.7219i | −0.110679 | + | 0.769789i | ||||
\(195\) | 18.8425 | − | 41.2592i | 1.34934 | − | 2.95463i | ||||
\(196\) | 4.95317 | − | 4.94632i | 0.353798 | − | 0.353309i | ||||
\(197\) | 0.959133 | − | 6.67092i | 0.0683354 | − | 0.475283i | −0.926703 | − | 0.375794i | \(-0.877370\pi\) |
0.995039 | − | 0.0994892i | \(-0.0317209\pi\) | |||||||
\(198\) | −2.30590 | − | 3.58805i | −0.163873 | − | 0.254991i | ||||
\(199\) | −7.43795 | − | 2.18398i | −0.527263 | − | 0.154818i | 0.00725813 | − | 0.999974i | \(-0.497690\pi\) |
−0.534521 | + | 0.845155i | \(0.679508\pi\) | |||||||
\(200\) | −0.774887 | − | 5.38946i | −0.0547928 | − | 0.381092i | ||||
\(201\) | 9.98695 | + | 11.5256i | 0.704425 | + | 0.812950i | ||||
\(202\) | −7.33622 | + | 11.4154i | −0.516174 | + | 0.803183i | ||||
\(203\) | 2.89679 | − | 2.33273i | 0.203315 | − | 0.163726i | ||||
\(204\) | −5.59507 | − | 19.0551i | −0.391733 | − | 1.33412i | ||||
\(205\) | −30.9795 | + | 14.1478i | −2.16370 | + | 0.988129i | ||||
\(206\) | −8.17977 | −0.569911 | ||||||||
\(207\) | −6.33063 | + | 19.5926i | −0.440009 | + | 1.36178i | ||||
\(208\) | − | 5.19686i | − | 0.360338i | ||||||
\(209\) | 1.65134 | − | 0.754143i | 0.114226 | − | 0.0521651i | ||||
\(210\) | −2.46049 | − | 22.9606i | −0.169790 | − | 1.58443i | ||||
\(211\) | −0.897028 | + | 1.03523i | −0.0617540 | + | 0.0712679i | −0.785786 | − | 0.618498i | \(-0.787741\pi\) |
0.724032 | + | 0.689766i | \(0.242287\pi\) | |||||||
\(212\) | 3.28140 | − | 5.10595i | 0.225367 | − | 0.350678i | ||||
\(213\) | 0.502071 | − | 0.435047i | 0.0344013 | − | 0.0298089i | ||||
\(214\) | 5.16901 | − | 0.743191i | 0.353346 | − | 0.0508035i | ||||
\(215\) | −9.10739 | + | 31.0169i | −0.621119 | + | 2.11534i | ||||
\(216\) | −1.88831 | − | 2.93827i | −0.128483 | − | 0.199924i | ||||
\(217\) | 12.1513 | + | 4.04902i | 0.824886 | + | 0.274865i | ||||
\(218\) | 9.05875 | + | 4.13699i | 0.613536 | + | 0.280193i | ||||
\(219\) | −0.819367 | + | 1.79416i | −0.0553677 | + | 0.121238i | ||||
\(220\) | −3.17795 | − | 0.456921i | −0.214258 | − | 0.0308056i | ||||
\(221\) | −20.6613 | − | 32.1495i | −1.38983 | − | 2.16261i | ||||
\(222\) | 15.8087 | + | 4.64186i | 1.06101 | + | 0.311541i | ||||
\(223\) | 8.03143 | − | 1.15475i | 0.537824 | − | 0.0773275i | 0.131950 | − | 0.991256i | \(-0.457876\pi\) |
0.405874 | + | 0.913929i | \(0.366967\pi\) | |||||||
\(224\) | −1.34926 | − | 2.27585i | −0.0901513 | − | 0.152062i | ||||
\(225\) | −19.6656 | − | 12.6383i | −1.31104 | − | 0.842554i | ||||
\(226\) | 12.1128 | + | 10.4958i | 0.805728 | + | 0.698168i | ||||
\(227\) | 18.1677 | − | 5.33453i | 1.20583 | − | 0.354065i | 0.383754 | − | 0.923436i | \(-0.374631\pi\) |
0.822081 | + | 0.569370i | \(0.192813\pi\) | |||||||
\(228\) | 4.48911 | − | 2.05011i | 0.297299 | − | 0.135772i | ||||
\(229\) | −6.25542 | −0.413370 | −0.206685 | − | 0.978408i | \(-0.566267\pi\) | ||||
−0.206685 | + | 0.978408i | \(0.566267\pi\) | |||||||
\(230\) | 8.02555 | + | 13.2598i | 0.529189 | + | 0.874326i | ||||
\(231\) | −6.98502 | − | 1.26273i | −0.459580 | − | 0.0830815i | ||||
\(232\) | −0.583972 | − | 1.27872i | −0.0383396 | − | 0.0839521i | ||||
\(233\) | −20.8051 | + | 6.10892i | −1.36299 | + | 0.400209i | −0.879814 | − | 0.475318i | \(-0.842333\pi\) |
−0.483171 | + | 0.875526i | \(0.660515\pi\) | |||||||
\(234\) | −16.8621 | − | 14.6111i | −1.10231 | − | 0.955157i | ||||
\(235\) | 12.7503 | − | 19.8399i | 0.831739 | − | 1.29421i | ||||
\(236\) | 4.22049 | − | 3.65708i | 0.274731 | − | 0.238055i | ||||
\(237\) | 0.115841 | + | 0.805690i | 0.00752467 | + | 0.0523352i | ||||
\(238\) | −17.3951 | − | 8.71489i | −1.12756 | − | 0.564903i | ||||
\(239\) | −10.7316 | + | 6.89676i | −0.694167 | + | 0.446114i | −0.839565 | − | 0.543259i | \(-0.817190\pi\) |
0.145398 | + | 0.989373i | \(0.453554\pi\) | |||||||
\(240\) | −8.63915 | − | 1.24212i | −0.557655 | − | 0.0801786i | ||||
\(241\) | 8.28337 | − | 18.1380i | 0.533579 | − | 1.16837i | −0.430459 | − | 0.902610i | \(-0.641648\pi\) |
0.964038 | − | 0.265764i | \(-0.0856243\pi\) | |||||||
\(242\) | 4.15959 | − | 9.10823i | 0.267388 | − | 0.585499i | ||||
\(243\) | 19.5869 | + | 2.81617i | 1.25650 | + | 0.180658i | ||||
\(244\) | −2.82068 | + | 1.81274i | −0.180576 | + | 0.116049i | ||||
\(245\) | −18.1012 | − | 13.5700i | −1.15645 | − | 0.866953i | ||||
\(246\) | 4.05013 | + | 28.1693i | 0.258227 | + | 1.79601i | ||||
\(247\) | 7.17714 | − | 6.21903i | 0.456671 | − | 0.395707i | ||||
\(248\) | 2.61726 | − | 4.07254i | 0.166196 | − | 0.258606i | ||||
\(249\) | 31.0628 | + | 26.9161i | 1.96852 | + | 1.70574i | ||||
\(250\) | −1.37954 | + | 0.405071i | −0.0872500 | + | 0.0256189i | ||||
\(251\) | −9.45326 | − | 20.6997i | −0.596684 | − | 1.30656i | −0.931318 | − | 0.364208i | \(-0.881340\pi\) |
0.334633 | − | 0.942348i | \(-0.391387\pi\) | |||||||
\(252\) | −11.1778 | − | 2.02070i | −0.704138 | − | 0.127292i | ||||
\(253\) | 4.60583 | − | 1.21871i | 0.289566 | − | 0.0766199i | ||||
\(254\) | 7.79014 | 0.488797 | ||||||||
\(255\) | −58.3830 | + | 26.6626i | −3.65608 | + | 1.66968i | ||||
\(256\) | −0.959493 | + | 0.281733i | −0.0599683 | + | 0.0176083i | ||||
\(257\) | −14.7278 | − | 12.7617i | −0.918694 | − | 0.796053i | 0.0606702 | − | 0.998158i | \(-0.480676\pi\) |
−0.979364 | + | 0.202105i | \(0.935222\pi\) | |||||||
\(258\) | 22.7245 | + | 14.6041i | 1.41477 | + | 0.909214i | ||||
\(259\) | 13.8847 | − | 8.23167i | 0.862752 | − | 0.511491i | ||||
\(260\) | −16.6246 | + | 2.39025i | −1.03101 | + | 0.148237i | ||||
\(261\) | −5.79087 | − | 1.70035i | −0.358446 | − | 0.105249i | ||||
\(262\) | 4.70778 | + | 7.32545i | 0.290848 | + | 0.452568i | ||||
\(263\) | 14.9971 | + | 2.15626i | 0.924763 | + | 0.132961i | 0.588214 | − | 0.808705i | \(-0.299831\pi\) |
0.336549 | + | 0.941666i | \(0.390740\pi\) | |||||||
\(264\) | −1.11451 | + | 2.44043i | −0.0685933 | + | 0.150198i | ||||
\(265\) | −17.8430 | − | 8.14862i | −1.09609 | − | 0.500566i | ||||
\(266\) | 1.52842 | − | 4.58689i | 0.0937137 | − | 0.281240i | ||||
\(267\) | 13.1894 | + | 20.5231i | 0.807179 | + | 1.25599i | ||||
\(268\) | 1.59096 | − | 5.41830i | 0.0971832 | − | 0.330976i | ||||
\(269\) | −1.08646 | + | 0.156209i | −0.0662424 | + | 0.00952422i | −0.175356 | − | 0.984505i | \(-0.556108\pi\) |
0.109114 | + | 0.994029i | \(0.465199\pi\) | |||||||
\(270\) | −8.53089 | + | 7.39206i | −0.519173 | + | 0.449866i | ||||
\(271\) | 0.137693 | − | 0.214254i | 0.00836423 | − | 0.0130150i | −0.837046 | − | 0.547132i | \(-0.815720\pi\) |
0.845410 | + | 0.534117i | \(0.179356\pi\) | |||||||
\(272\) | −4.81565 | + | 5.55756i | −0.291992 | + | 0.336977i | ||||
\(273\) | −36.9210 | + | 3.95650i | −2.23456 | + | 0.239458i | ||||
\(274\) | −7.74563 | + | 3.53731i | −0.467931 | + | 0.213697i | ||||
\(275\) | 5.40913i | 0.326183i | ||||||||
\(276\) | 12.5208 | − | 3.31303i | 0.753662 | − | 0.199421i | ||||
\(277\) | −7.46755 | −0.448681 | −0.224341 | − | 0.974511i | \(-0.572023\pi\) | ||||
−0.224341 | + | 0.974511i | \(0.572023\pi\) | |||||||
\(278\) | −1.07012 | + | 0.488707i | −0.0641815 | + | 0.0293107i | ||||
\(279\) | −5.85555 | − | 19.9422i | −0.350562 | − | 1.19391i | ||||
\(280\) | −6.65977 | + | 5.36298i | −0.397997 | + | 0.320500i | ||||
\(281\) | 6.75916 | − | 10.5175i | 0.403218 | − | 0.627419i | −0.578964 | − | 0.815353i | \(-0.696543\pi\) |
0.982182 | + | 0.187934i | \(0.0601791\pi\) | |||||||
\(282\) | −12.9054 | − | 14.8936i | −0.768505 | − | 0.886903i | ||||
\(283\) | −0.886946 | − | 6.16884i | −0.0527235 | − | 0.366700i | −0.999054 | − | 0.0434979i | \(-0.986150\pi\) |
0.946330 | − | 0.323202i | \(-0.104759\pi\) | |||||||
\(284\) | −0.236030 | − | 0.0693045i | −0.0140058 | − | 0.00411247i | ||||
\(285\) | −8.62294 | − | 13.4176i | −0.510779 | − | 0.794787i | ||||
\(286\) | −0.734735 | + | 5.11019i | −0.0434458 | + | 0.302172i | ||||
\(287\) | 22.8964 | + | 15.9090i | 1.35153 | + | 0.939077i | ||||
\(288\) | −1.78351 | + | 3.90533i | −0.105094 | + | 0.230124i | ||||
\(289\) | −5.27661 | + | 36.6996i | −0.310389 | + | 2.15880i | ||||
\(290\) | −3.82198 | + | 2.45624i | −0.224434 | + | 0.144235i | ||||
\(291\) | 8.24167 | − | 28.0685i | 0.483135 | − | 1.64541i | ||||
\(292\) | 0.722921 | − | 0.103940i | 0.0423058 | − | 0.00608265i | ||||
\(293\) | 12.5637 | + | 14.4992i | 0.733977 | + | 0.847054i | 0.992913 | − | 0.118840i | \(-0.0379175\pi\) |
−0.258937 | + | 0.965894i | \(0.583372\pi\) | |||||||
\(294\) | −15.1415 | + | 11.3184i | −0.883070 | + | 0.660105i | ||||
\(295\) | −13.6400 | − | 11.8191i | −0.794152 | − | 0.688137i | ||||
\(296\) | −1.71882 | − | 5.85375i | −0.0999041 | − | 0.340242i | ||||
\(297\) | 1.44140 | + | 3.15624i | 0.0836388 | + | 0.183143i | ||||
\(298\) | 8.10960i | 0.469776i | ||||||||
\(299\) | 21.3220 | − | 12.9052i | 1.23308 | − | 0.746327i | ||||
\(300\) | 14.7045i | 0.848965i | ||||||||
\(301\) | 25.6441 | − | 6.53583i | 1.47810 | − | 0.376719i | ||||
\(302\) | −4.97978 | + | 1.46219i | −0.286554 | + | 0.0841399i | ||||
\(303\) | 23.9980 | − | 27.6951i | 1.37865 | − | 1.59104i | ||||
\(304\) | −1.53730 | − | 0.987964i | −0.0881703 | − | 0.0566636i | ||||
\(305\) | 7.09624 | + | 8.18949i | 0.406329 | + | 0.468929i | ||||
\(306\) | 4.49313 | + | 31.2504i | 0.256855 | + | 1.78647i | ||||
\(307\) | −7.77679 | + | 26.4853i | −0.443845 | + | 1.51160i | 0.369175 | + | 0.929360i | \(0.379640\pi\) |
−0.813020 | + | 0.582236i | \(0.802178\pi\) | |||||||
\(308\) | 1.00500 | + | 2.42865i | 0.0572650 | + | 0.138385i | ||||
\(309\) | 21.8655 | + | 3.14379i | 1.24389 | + | 0.178844i | ||||
\(310\) | −14.2317 | − | 6.49938i | −0.808304 | − | 0.369140i | ||||
\(311\) | 16.5276 | + | 7.54788i | 0.937192 | + | 0.428001i | 0.824648 | − | 0.565646i | \(-0.191373\pi\) |
0.112543 | + | 0.993647i | \(0.464100\pi\) | |||||||
\(312\) | −1.99735 | + | 13.8919i | −0.113078 | + | 0.786472i | ||||
\(313\) | −5.34781 | + | 3.43683i | −0.302276 | + | 0.194261i | −0.682982 | − | 0.730435i | \(-0.739317\pi\) |
0.380706 | + | 0.924696i | \(0.375681\pi\) | |||||||
\(314\) | 15.8779 | + | 4.66218i | 0.896043 | + | 0.263102i | ||||
\(315\) | −1.32298 | + | 36.6869i | −0.0745414 | + | 2.06707i | ||||
\(316\) | 0.227786 | − | 0.197378i | 0.0128140 | − | 0.0111034i | ||||
\(317\) | 7.64036 | + | 4.91016i | 0.429125 | + | 0.275782i | 0.737323 | − | 0.675540i | \(-0.236089\pi\) |
−0.308198 | + | 0.951322i | \(0.599726\pi\) | |||||||
\(318\) | −10.7340 | + | 12.3877i | −0.601932 | + | 0.694667i | ||||
\(319\) | 0.393447 | + | 1.33996i | 0.0220288 | + | 0.0750231i | ||||
\(320\) | 1.34256 | + | 2.93980i | 0.0750514 | + | 0.164340i | ||||
\(321\) | −14.1030 | −0.787155 | ||||||||
\(322\) | 5.98690 | − | 11.1874i | 0.333637 | − | 0.623447i | ||||
\(323\) | −13.4381 | −0.747717 | ||||||||
\(324\) | −1.43211 | − | 3.13589i | −0.0795618 | − | 0.174216i | ||||
\(325\) | 7.97199 | + | 27.1501i | 0.442206 | + | 1.50602i | ||||
\(326\) | 4.71476 | − | 5.44112i | 0.261126 | − | 0.301356i | ||||
\(327\) | −22.6252 | − | 14.5403i | −1.25117 | − | 0.804081i | ||||
\(328\) | 7.96406 | − | 6.90090i | 0.439742 | − | 0.381038i | ||||
\(329\) | −19.2942 | − | 0.695776i | −1.06372 | − | 0.0383594i | ||||
\(330\) | 8.31945 | + | 2.44281i | 0.457971 | + | 0.134472i | ||||
\(331\) | 20.7974 | − | 13.3657i | 1.14313 | − | 0.734643i | 0.174868 | − | 0.984592i | \(-0.444050\pi\) |
0.968259 | + | 0.249949i | \(0.0804138\pi\) | |||||||
\(332\) | 2.16596 | − | 15.0646i | 0.118873 | − | 0.826776i | ||||
\(333\) | −23.8259 | − | 10.8809i | −1.30565 | − | 0.596272i | ||||
\(334\) | −18.0790 | − | 8.25642i | −0.989241 | − | 0.451771i | ||||
\(335\) | −18.0647 | − | 2.59731i | −0.986979 | − | 0.141906i | ||||
\(336\) | 2.73205 | + | 6.60220i | 0.149045 | + | 0.360180i | ||||
\(337\) | −9.11296 | + | 31.0359i | −0.496415 | + | 1.69063i | 0.205738 | + | 0.978607i | \(0.434040\pi\) |
−0.702153 | + | 0.712026i | \(0.747778\pi\) | |||||||
\(338\) | 1.99346 | + | 13.8648i | 0.108430 | + | 0.754147i | ||||
\(339\) | −28.3450 | − | 32.7119i | −1.53949 | − | 1.77666i | ||||
\(340\) | 19.9933 | + | 12.8489i | 1.08429 | + | 0.696831i | ||||
\(341\) | −3.14939 | + | 3.63459i | −0.170549 | + | 0.196824i | ||||
\(342\) | −7.52777 | + | 2.21035i | −0.407055 | + | 0.119522i | ||||
\(343\) | −1.99883 | + | 18.4121i | −0.107927 | + | 0.994159i | ||||
\(344\) | − | 10.0024i | − | 0.539294i | ||||||
\(345\) | −16.3571 | − | 38.5297i | −0.880634 | − | 2.07437i | ||||
\(346\) | − | 14.6655i | − | 0.788424i | ||||||
\(347\) | −7.75091 | − | 16.9721i | −0.416091 | − | 0.911112i | −0.995382 | − | 0.0959914i | \(-0.969398\pi\) |
0.579291 | − | 0.815121i | \(-0.303329\pi\) | |||||||
\(348\) | 1.06957 | + | 3.64262i | 0.0573349 | + | 0.195265i | ||||
\(349\) | −1.97757 | − | 1.71358i | −0.105857 | − | 0.0917257i | 0.600324 | − | 0.799757i | \(-0.295038\pi\) |
−0.706181 | + | 0.708031i | \(0.749584\pi\) | |||||||
\(350\) | 10.5401 | + | 9.82001i | 0.563394 | + | 0.524902i | ||||
\(351\) | 11.8865 | + | 13.7178i | 0.634456 | + | 0.732201i | ||||
\(352\) | 0.983322 | − | 0.141380i | 0.0524113 | − | 0.00753560i | ||||
\(353\) | −4.67624 | + | 15.9258i | −0.248891 | + | 0.847646i | 0.736368 | + | 0.676581i | \(0.236539\pi\) |
−0.985260 | + | 0.171065i | \(0.945279\pi\) | |||||||
\(354\) | −12.6874 | + | 8.15373i | −0.674330 | + | 0.433366i | ||||
\(355\) | −0.113143 | + | 0.786925i | −0.00600499 | + | 0.0417656i | ||||
\(356\) | 3.75264 | − | 8.21713i | 0.198889 | − | 0.435507i | ||||
\(357\) | 43.1498 | + | 29.9816i | 2.28373 | + | 1.58679i | ||||
\(358\) | 3.43195 | − | 23.8697i | 0.181384 | − | 1.26156i | ||||
\(359\) | 5.75154 | + | 8.94957i | 0.303554 | + | 0.472340i | 0.959200 | − | 0.282729i | \(-0.0912397\pi\) |
−0.655645 | + | 0.755069i | \(0.727603\pi\) | |||||||
\(360\) | 13.3133 | + | 3.90914i | 0.701672 | + | 0.206030i | ||||
\(361\) | 2.22874 | + | 15.5012i | 0.117302 | + | 0.815854i | ||||
\(362\) | −1.90972 | − | 2.20393i | −0.100373 | − | 0.115836i | ||||
\(363\) | −14.6197 | + | 22.7487i | −0.767337 | + | 1.19400i | ||||
\(364\) | 8.62375 | + | 10.7090i | 0.452007 | + | 0.561304i | ||||
\(365\) | −0.665002 | − | 2.26479i | −0.0348078 | − | 0.118544i | ||||
\(366\) | 8.23674 | − | 3.76159i | 0.430541 | − | 0.196622i | ||||
\(367\) | −27.7984 | −1.45106 | −0.725532 | − | 0.688188i | \(-0.758406\pi\) | ||||
−0.725532 | + | 0.688188i | \(0.758406\pi\) | |||||||
\(368\) | −3.53858 | − | 3.23704i | −0.184461 | − | 0.168742i | ||||
\(369\) | − | 45.2427i | − | 2.35524i | ||||||
\(370\) | −17.9353 | + | 8.19080i | −0.932414 | + | 0.425819i | ||||
\(371\) | 1.71103 | + | 15.9669i | 0.0888322 | + | 0.828958i | ||||
\(372\) | −8.56149 | + | 9.88049i | −0.443893 | + | 0.512280i | ||||
\(373\) | −6.39444 | + | 9.94994i | −0.331091 | + | 0.515188i | −0.966391 | − | 0.257078i | \(-0.917240\pi\) |
0.635299 | + | 0.772266i | \(0.280877\pi\) | |||||||
\(374\) | 5.52107 | − | 4.78404i | 0.285488 | − | 0.247377i | ||||
\(375\) | 3.84338 | − | 0.552594i | 0.198471 | − | 0.0285358i | ||||
\(376\) | −2.05588 | + | 7.00168i | −0.106024 | + | 0.361084i | ||||
\(377\) | 3.94966 | + | 6.14579i | 0.203418 | + | 0.316524i | ||||
\(378\) | 8.76698 | + | 2.92130i | 0.450925 | + | 0.150255i | ||||
\(379\) | 7.18067 | + | 3.27930i | 0.368846 | + | 0.168446i | 0.591211 | − | 0.806517i | \(-0.298650\pi\) |
−0.222365 | + | 0.974964i | \(0.571378\pi\) | |||||||
\(380\) | −2.45339 | + | 5.37217i | −0.125856 | + | 0.275587i | ||||
\(381\) | −20.8240 | − | 2.99404i | −1.06685 | − | 0.153389i | ||||
\(382\) | −2.91306 | − | 4.53281i | −0.149045 | − | 0.231919i | ||||
\(383\) | 24.9060 | + | 7.31306i | 1.27264 | + | 0.373680i | 0.847184 | − | 0.531300i | \(-0.178296\pi\) |
0.425454 | + | 0.904980i | \(0.360115\pi\) | |||||||
\(384\) | 2.67312 | − | 0.384337i | 0.136412 | − | 0.0196131i | ||||
\(385\) | 7.30692 | − | 4.33198i | 0.372395 | − | 0.220778i | ||||
\(386\) | 14.5482 | + | 9.34957i | 0.740485 | + | 0.475881i | ||||
\(387\) | −32.4545 | − | 28.1220i | −1.64976 | − | 1.42952i | ||||
\(388\) | −10.3934 | + | 3.05178i | −0.527645 | + | 0.154931i | ||||
\(389\) | 20.0234 | − | 9.14438i | 1.01523 | − | 0.463639i | 0.162897 | − | 0.986643i | \(-0.447916\pi\) |
0.852330 | + | 0.523004i | \(0.175189\pi\) | |||||||
\(390\) | 45.3582 | 2.29680 | ||||||||
\(391\) | −34.7604 | − | 5.95701i | −1.75791 | − | 0.301259i | ||||
\(392\) | 6.55695 | + | 2.45079i | 0.331176 | + | 0.123783i | ||||
\(393\) | −9.76904 | − | 21.3912i | −0.492783 | − | 1.07904i | ||||
\(394\) | 6.46652 | − | 1.89874i | 0.325779 | − | 0.0956572i | ||||
\(395\) | −0.736171 | − | 0.637896i | −0.0370408 | − | 0.0320960i | ||||
\(396\) | 2.30590 | − | 3.58805i | 0.115876 | − | 0.180306i | ||||
\(397\) | 4.34009 | − | 3.76071i | 0.217823 | − | 0.188745i | −0.539114 | − | 0.842233i | \(-0.681241\pi\) |
0.756936 | + | 0.653489i | \(0.226695\pi\) | |||||||
\(398\) | −1.10322 | − | 7.67306i | −0.0552994 | − | 0.384616i | ||||
\(399\) | −5.84858 | + | 11.6739i | −0.292795 | + | 0.584425i | ||||
\(400\) | 4.58052 | − | 2.94372i | 0.229026 | − | 0.147186i | ||||
\(401\) | 23.4176 | + | 3.36695i | 1.16942 | + | 0.168137i | 0.699541 | − | 0.714593i | \(-0.253388\pi\) |
0.469881 | + | 0.882730i | \(0.344297\pi\) | |||||||
\(402\) | −6.33528 | + | 13.8723i | −0.315975 | + | 0.691889i | ||||
\(403\) | −10.4511 | + | 22.8847i | −0.520606 | + | 1.13997i | ||||
\(404\) | −13.4314 | − | 1.93114i | −0.668235 | − | 0.0960778i | ||||
\(405\) | −9.37289 | + | 6.02359i | −0.465742 | + | 0.299315i | ||||
\(406\) | 3.32530 | + | 1.66596i | 0.165032 | + | 0.0826804i | ||||
\(407\) | 0.862544 | + | 5.99913i | 0.0427547 | + | 0.297366i | ||||
\(408\) | 15.0088 | − | 13.0052i | 0.743047 | − | 0.643854i | ||||
\(409\) | 11.0026 | − | 17.1204i | 0.544046 | − | 0.846551i | −0.454988 | − | 0.890497i | \(-0.650357\pi\) |
0.999034 | + | 0.0439460i | \(0.0139930\pi\) | |||||||
\(410\) | −25.7387 | − | 22.3027i | −1.27114 | − | 1.10145i | ||||
\(411\) | 22.0646 | − | 6.47874i | 1.08836 | − | 0.319573i | ||||
\(412\) | −3.39800 | − | 7.44058i | −0.167407 | − | 0.366571i | ||||
\(413\) | −2.62842 | + | 14.5396i | −0.129336 | + | 0.715445i | ||||
\(414\) | −20.4519 | + | 2.38052i | −1.00516 | + | 0.116996i | ||||
\(415\) | −49.1872 | −2.41450 | ||||||||
\(416\) | 4.72723 | − | 2.15886i | 0.231772 | − | 0.105847i | ||||
\(417\) | 3.04839 | − | 0.895089i | 0.149280 | − | 0.0438327i | ||||
\(418\) | 1.37198 | + | 1.18883i | 0.0671060 | + | 0.0581477i | ||||
\(419\) | −20.2981 | − | 13.0448i | −0.991625 | − | 0.637279i | −0.0590500 | − | 0.998255i | \(-0.518807\pi\) |
−0.932575 | + | 0.360976i | \(0.882444\pi\) | |||||||
\(420\) | 19.8636 | − | 11.7763i | 0.969244 | − | 0.574626i | ||||
\(421\) | 3.34060 | − | 0.480306i | 0.162811 | − | 0.0234087i | −0.0604273 | − | 0.998173i | \(-0.519246\pi\) |
0.223238 | + | 0.974764i | \(0.428337\pi\) | |||||||
\(422\) | −1.31431 | − | 0.385917i | −0.0639798 | − | 0.0187862i | ||||
\(423\) | 16.9380 | + | 26.3560i | 0.823552 | + | 1.28147i | ||||
\(424\) | 6.00768 | + | 0.863774i | 0.291759 | + | 0.0419486i | ||||
\(425\) | 16.6332 | − | 36.4217i | 0.806831 | − | 1.76671i | ||||
\(426\) | 0.604300 | + | 0.275975i | 0.0292784 | + | 0.0133710i | ||||
\(427\) | 2.80439 | − | 8.41614i | 0.135714 | − | 0.407286i | ||||
\(428\) | 2.82331 | + | 4.39316i | 0.136470 | + | 0.212352i | ||||
\(429\) | 3.92807 | − | 13.3778i | 0.189649 | − | 0.645886i | ||||
\(430\) | −31.9973 | + | 4.60052i | −1.54305 | + | 0.221857i | ||||
\(431\) | −5.60001 | + | 4.85243i | −0.269743 | + | 0.233733i | −0.779220 | − | 0.626751i | \(-0.784384\pi\) |
0.509477 | + | 0.860484i | \(0.329839\pi\) | |||||||
\(432\) | 1.88831 | − | 2.93827i | 0.0908514 | − | 0.141368i | ||||
\(433\) | 23.7037 | − | 27.3556i | 1.13913 | − | 1.31462i | 0.196606 | − | 0.980483i | \(-0.437008\pi\) |
0.942523 | − | 0.334142i | \(-0.108447\pi\) | |||||||
\(434\) | 1.36473 | + | 12.7353i | 0.0655090 | + | 0.611312i | ||||
\(435\) | 11.1606 | − | 5.09690i | 0.535112 | − | 0.244378i | ||||
\(436\) | 9.95870i | 0.476935i | ||||||||
\(437\) | 0.235940 | − | 8.76070i | 0.0112865 | − | 0.419081i | ||||
\(438\) | −1.97241 | −0.0942452 | ||||||||
\(439\) | −13.7144 | + | 6.26316i | −0.654553 | + | 0.298924i | −0.714872 | − | 0.699255i | \(-0.753515\pi\) |
0.0603197 | + | 0.998179i | \(0.480788\pi\) | |||||||
\(440\) | −0.904540 | − | 3.08058i | −0.0431223 | − | 0.146861i | ||||
\(441\) | 26.3870 | − | 14.3847i | 1.25652 | − | 0.684986i | ||||
\(442\) | 20.6613 | − | 32.1495i | 0.982755 | − | 1.52920i | ||||
\(443\) | −11.2544 | − | 12.9882i | −0.534711 | − | 0.617089i | 0.422541 | − | 0.906344i | \(-0.361138\pi\) |
−0.957252 | + | 0.289254i | \(0.906593\pi\) | |||||||
\(444\) | 2.34479 | + | 16.3084i | 0.111279 | + | 0.773963i | ||||
\(445\) | −28.0122 | − | 8.22513i | −1.32791 | − | 0.389909i | ||||
\(446\) | 4.38677 | + | 6.82595i | 0.207720 | + | 0.323218i | ||||
\(447\) | 3.11682 | − | 21.6780i | 0.147421 | − | 1.02533i | ||||
\(448\) | 1.50968 | − | 2.17275i | 0.0713258 | − | 0.102653i | ||||
\(449\) | −3.56174 | + | 7.79912i | −0.168089 | + | 0.368063i | −0.974866 | − | 0.222793i | \(-0.928483\pi\) |
0.806777 | + | 0.590856i | \(0.201210\pi\) | |||||||
\(450\) | 3.32683 | − | 23.1386i | 0.156828 | − | 1.09076i | ||||
\(451\) | −8.80689 | + | 5.65984i | −0.414700 | + | 0.266512i | ||||
\(452\) | −4.51546 | + | 15.3782i | −0.212389 | + | 0.723332i | ||||
\(453\) | 13.8735 | − | 1.99471i | 0.651836 | − | 0.0937199i | ||||
\(454\) | 12.3996 | + | 14.3099i | 0.581942 | + | 0.671597i | ||||
\(455\) | 30.2912 | − | 32.5125i | 1.42007 | − | 1.52421i | ||||
\(456\) | 3.72969 | + | 3.23179i | 0.174659 | + | 0.151343i | ||||
\(457\) | −4.02842 | − | 13.7195i | −0.188441 | − | 0.641773i | −0.998466 | − | 0.0553760i | \(-0.982364\pi\) |
0.810024 | − | 0.586397i | \(-0.199454\pi\) | |||||||
\(458\) | −2.59859 | − | 5.69013i | −0.121424 | − | 0.265882i | ||||
\(459\) | − | 25.6845i | − | 1.19885i | ||||||
\(460\) | −8.72762 | + | 12.8086i | −0.406927 | + | 0.597205i | ||||
\(461\) | − | 7.49472i | − | 0.349064i | −0.984652 | − | 0.174532i | \(-0.944159\pi\) | ||
0.984652 | − | 0.174532i | \(-0.0558412\pi\) | |||||||
\(462\) | −1.75306 | − | 6.87835i | −0.0815598 | − | 0.320010i | ||||
\(463\) | 38.8757 | − | 11.4149i | 1.80670 | − | 0.530496i | 0.808397 | − | 0.588638i | \(-0.200336\pi\) |
0.998308 | + | 0.0581418i | \(0.0185176\pi\) | |||||||
\(464\) | 0.920574 | − | 1.06240i | 0.0427366 | − | 0.0493206i | ||||
\(465\) | 35.5451 | + | 22.8434i | 1.64836 | + | 1.05934i | ||||
\(466\) | −14.1996 | − | 16.3872i | −0.657784 | − | 0.759123i | ||||
\(467\) | −1.20176 | − | 8.35840i | −0.0556107 | − | 0.386781i | −0.998551 | − | 0.0538183i | \(-0.982861\pi\) |
0.942940 | − | 0.332963i | \(-0.108048\pi\) | |||||||
\(468\) | 6.28594 | − | 21.4080i | 0.290568 | − | 0.989583i | ||||
\(469\) | 5.71278 | + | 13.8054i | 0.263792 | + | 0.637473i | ||||
\(470\) | 23.3437 | + | 3.35631i | 1.07676 | + | 0.154815i | ||||
\(471\) | −40.6518 | − | 18.5651i | −1.87314 | − | 0.855433i | ||||
\(472\) | 5.07985 | + | 2.31989i | 0.233819 | + | 0.106782i | ||||
\(473\) | −1.41415 | + | 9.83560i | −0.0650225 | + | 0.452241i | ||||
\(474\) | −0.684760 | + | 0.440068i | −0.0314521 | + | 0.0202130i | ||||
\(475\) | 9.54690 | + | 2.80322i | 0.438042 | + | 0.128621i | ||||
\(476\) | 0.701157 | − | 19.4434i | 0.0321375 | − | 0.891189i | ||||
\(477\) | 19.6934 | − | 17.0644i | 0.901697 | − | 0.781325i | ||||
\(478\) | −10.7316 | − | 6.89676i | −0.490850 | − | 0.315450i | ||||
\(479\) | −2.20330 | + | 2.54275i | −0.100672 | + | 0.116181i | −0.803849 | − | 0.594833i | \(-0.797218\pi\) |
0.703178 | + | 0.711014i | \(0.251764\pi\) | |||||||
\(480\) | −2.45896 | − | 8.37444i | −0.112236 | − | 0.382239i | ||||
\(481\) | 13.1709 | + | 28.8403i | 0.600542 | + | 1.31500i | ||||
\(482\) | 19.9400 | 0.908241 | ||||||||
\(483\) | −20.3035 | + | 27.6042i | −0.923839 | + | 1.25604i | ||||
\(484\) | 10.0131 | 0.455140 | ||||||||
\(485\) | 14.5429 | + | 31.8444i | 0.660357 | + | 1.44598i | ||||
\(486\) | 5.57502 | + | 18.9868i | 0.252888 | + | 0.861257i | ||||
\(487\) | 0.395912 | − | 0.456906i | 0.0179405 | − | 0.0207044i | −0.746708 | − | 0.665151i | \(-0.768367\pi\) |
0.764649 | + | 0.644447i | \(0.222912\pi\) | |||||||
\(488\) | −2.82068 | − | 1.81274i | −0.127686 | − | 0.0820590i | ||||
\(489\) | −14.6944 | + | 12.7327i | −0.664502 | + | 0.575794i | ||||
\(490\) | 4.82415 | − | 22.1026i | 0.217933 | − | 0.998495i | ||||
\(491\) | −12.9398 | − | 3.79948i | −0.583967 | − | 0.171468i | −0.0236127 | − | 0.999721i | \(-0.507517\pi\) |
−0.560354 | + | 0.828253i | \(0.689335\pi\) | |||||||
\(492\) | −23.9412 | + | 15.3861i | −1.07935 | + | 0.693657i | ||||
\(493\) | 1.47118 | − | 10.2323i | 0.0662587 | − | 0.460839i | ||||
\(494\) | 8.63852 | + | 3.94508i | 0.388665 | + | 0.177498i | ||||
\(495\) | −12.5386 | − | 5.72618i | −0.563568 | − | 0.257373i | ||||
\(496\) | 4.79176 | + | 0.688951i | 0.215156 | + | 0.0309348i | ||||
\(497\) | 0.601383 | − | 0.248857i | 0.0269757 | − | 0.0111628i | ||||
\(498\) | −11.5798 | + | 39.4370i | −0.518902 | + | 1.76722i | ||||
\(499\) | −2.23543 | − | 15.5478i | −0.100072 | − | 0.696015i | −0.976663 | − | 0.214779i | \(-0.931097\pi\) |
0.876591 | − | 0.481236i | \(-0.159812\pi\) | |||||||
\(500\) | −0.941549 | − | 1.08661i | −0.0421073 | − | 0.0485945i | ||||
\(501\) | 45.1543 | + | 29.0189i | 2.01734 | + | 1.29647i | ||||
\(502\) | 14.9021 | − | 17.1980i | 0.665114 | − | 0.767583i | ||||
\(503\) | 3.49995 | − | 1.02768i | 0.156055 | − | 0.0458218i | −0.202772 | − | 0.979226i | \(-0.564995\pi\) |
0.358827 | + | 0.933404i | \(0.383177\pi\) | |||||||
\(504\) | −2.80535 | − | 11.0072i | −0.124960 | − | 0.490298i | ||||
\(505\) | 43.8546i | 1.95150i | ||||||||
\(506\) | 3.02191 | + | 3.68334i | 0.134340 | + | 0.163744i | ||||
\(507\) | − | 37.8286i | − | 1.68003i | ||||||
\(508\) | 3.23614 | + | 7.08616i | 0.143581 | + | 0.314397i | ||||
\(509\) | −1.01778 | − | 3.46624i | −0.0451124 | − | 0.153639i | 0.933857 | − | 0.357647i | \(-0.116421\pi\) |
−0.978969 | + | 0.204009i | \(0.934603\pi\) | |||||||
\(510\) | −48.5063 | − | 42.0310i | −2.14790 | − | 1.86116i | ||||
\(511\) | −1.31722 | + | 1.41381i | −0.0582703 | + | 0.0625434i | ||||
\(512\) | −0.654861 | − | 0.755750i | −0.0289410 | − | 0.0333997i | ||||
\(513\) | 6.31762 | − | 0.908337i | 0.278930 | − | 0.0401041i | ||||
\(514\) | 5.49030 | − | 18.6983i | 0.242167 | − | 0.824745i | ||||
\(515\) | −22.2392 | + | 14.2923i | −0.979977 | + | 0.629793i | ||||
\(516\) | −3.84430 | + | 26.7377i | −0.169236 | + | 1.17706i | ||||
\(517\) | 3.01149 | − | 6.59424i | 0.132445 | − | 0.290014i | ||||
\(518\) | 13.2557 | + | 9.21039i | 0.582422 | + | 0.404681i | ||||
\(519\) | −5.63651 | + | 39.2028i | −0.247415 | + | 1.72081i | ||||
\(520\) | −9.08034 | − | 14.1293i | −0.398199 | − | 0.619610i | ||||
\(521\) | 37.2419 | + | 10.9352i | 1.63160 | + | 0.479081i | 0.964102 | − | 0.265532i | \(-0.0855478\pi\) |
0.667496 | + | 0.744613i | \(0.267366\pi\) | |||||||
\(522\) | −0.858919 | − | 5.97391i | −0.0375938 | − | 0.261471i | ||||
\(523\) | 6.39362 | + | 7.37863i | 0.279573 | + | 0.322645i | 0.878118 | − | 0.478445i | \(-0.158799\pi\) |
−0.598544 | + | 0.801090i | \(0.704254\pi\) | |||||||
\(524\) | −4.70778 | + | 7.32545i | −0.205660 | + | 0.320014i | ||||
\(525\) | −24.4009 | − | 30.3011i | −1.06494 | − | 1.32245i | ||||
\(526\) | 4.26863 | + | 14.5376i | 0.186121 | + | 0.633870i | ||||
\(527\) | 32.3825 | − | 14.7886i | 1.41060 | − | 0.644201i | ||||
\(528\) | −2.68288 | −0.116757 | ||||||||
\(529\) | 4.49385 | − | 22.5567i | 0.195385 | − | 0.980727i | ||||
\(530\) | − | 19.6156i | − | 0.852047i | ||||||
\(531\) | 21.8094 | − | 9.96000i | 0.946446 | − | 0.432227i | ||||
\(532\) | 4.80731 | − | 0.515157i | 0.208423 | − | 0.0223349i | ||||
\(533\) | −35.8630 | + | 41.3881i | −1.55340 | + | 1.79272i | ||||
\(534\) | −13.1894 | + | 20.5231i | −0.570762 | + | 0.888122i | ||||
\(535\) | 12.7550 | − | 11.0523i | 0.551446 | − | 0.477831i | ||||
\(536\) | 5.58957 | − | 0.803659i | 0.241433 | − | 0.0347128i | ||||
\(537\) | −18.3481 | + | 62.4878i | −0.791777 | + | 2.69655i | ||||
\(538\) | −0.593423 | − | 0.923384i | −0.0255843 | − | 0.0398099i | ||||
\(539\) | −6.10111 | − | 3.33694i | −0.262793 | − | 0.143732i | ||||
\(540\) | −10.2679 | − | 4.68920i | −0.441861 | − | 0.201791i | ||||
\(541\) | 0.660404 | − | 1.44608i | 0.0283930 | − | 0.0621719i | −0.894904 | − | 0.446258i | \(-0.852756\pi\) |
0.923297 | + | 0.384086i | \(0.125484\pi\) | |||||||
\(542\) | 0.252092 | + | 0.0362453i | 0.0108283 | + | 0.00155687i | ||||
\(543\) | 4.25786 | + | 6.62536i | 0.182722 | + | 0.284321i | ||||
\(544\) | −7.05583 | − | 2.07178i | −0.302516 | − | 0.0888268i | ||||
\(545\) | 31.8575 | − | 4.58041i | 1.36462 | − | 0.196203i | ||||
\(546\) | −18.9365 | − | 31.9409i | −0.810407 | − | 1.36695i | ||||
\(547\) | 16.0342 | + | 10.3046i | 0.685573 | + | 0.440591i | 0.836510 | − | 0.547952i | \(-0.184592\pi\) |
−0.150936 | + | 0.988543i | \(0.548229\pi\) | |||||||
\(548\) | −6.43530 | − | 5.57622i | −0.274903 | − | 0.238204i | ||||
\(549\) | −13.8122 | + | 4.05561i | −0.589488 | + | 0.173089i | ||||
\(550\) | −4.92032 | + | 2.24703i | −0.209803 | + | 0.0958138i | ||||
\(551\) | 2.56887 | 0.109438 | ||||||||
\(552\) | 8.21496 | + | 10.0130i | 0.349652 | + | 0.426182i | ||||
\(553\) | −0.141859 | + | 0.784721i | −0.00603248 | + | 0.0333697i | ||||
\(554\) | −3.10213 | − | 6.79272i | −0.131797 | − | 0.288595i | ||||
\(555\) | 51.0914 | − | 15.0018i | 2.16871 | − | 0.636791i | ||||
\(556\) | −0.889088 | − | 0.770399i | −0.0377057 | − | 0.0326722i | ||||
\(557\) | 11.5883 | − | 18.0317i | 0.491011 | − | 0.764028i | −0.504010 | − | 0.863698i | \(-0.668142\pi\) |
0.995021 | + | 0.0996701i | \(0.0317787\pi\) | |||||||
\(558\) | 15.7075 | − | 13.6107i | 0.664953 | − | 0.576185i | ||||
\(559\) | 7.39770 | + | 51.4521i | 0.312889 | + | 2.17619i | ||||
\(560\) | −7.64491 | − | 3.83008i | −0.323056 | − | 0.161850i | ||||
\(561\) | −16.5972 | + | 10.6664i | −0.700734 | + | 0.450334i | ||||
\(562\) | 12.3749 | + | 1.77924i | 0.522003 | + | 0.0750527i | ||||
\(563\) | −12.2834 | + | 26.8970i | −0.517685 | + | 1.13357i | 0.452624 | + | 0.891702i | \(0.350488\pi\) |
−0.970309 | + | 0.241870i | \(0.922239\pi\) | |||||||
\(564\) | 8.18662 | − | 17.9262i | 0.344719 | − | 0.754829i | ||||
\(565\) | 51.2712 | + | 7.37169i | 2.15700 | + | 0.310129i | ||||
\(566\) | 5.24293 | − | 3.36942i | 0.220377 | − | 0.141627i | ||||
\(567\) | 8.15484 | + | 4.08555i | 0.342471 | + | 0.171577i | ||||
\(568\) | −0.0350086 | − | 0.243490i | −0.00146893 | − | 0.0102166i | ||||
\(569\) | 19.1732 | − | 16.6137i | 0.803782 | − | 0.696481i | −0.152700 | − | 0.988273i | \(-0.548797\pi\) |
0.956482 | + | 0.291792i | \(0.0942515\pi\) | |||||||
\(570\) | 8.62294 | − | 13.4176i | 0.361175 | − | 0.561999i | ||||
\(571\) | 1.83278 | + | 1.58811i | 0.0766995 | + | 0.0664605i | 0.692367 | − | 0.721546i | \(-0.256568\pi\) |
−0.615667 | + | 0.788006i | \(0.711113\pi\) | |||||||
\(572\) | −4.95361 | + | 1.45451i | −0.207121 | + | 0.0608162i | ||||
\(573\) | 6.04484 | + | 13.2364i | 0.252527 | + | 0.552957i | ||||
\(574\) | −4.95982 | + | 27.4361i | −0.207019 | + | 1.14516i | ||||
\(575\) | 23.4523 | + | 11.4832i | 0.978029 | + | 0.478881i | ||||
\(576\) | −4.29331 | −0.178888 | ||||||||
\(577\) | 9.05886 | − | 4.13704i | 0.377125 | − | 0.172227i | −0.217829 | − | 0.975987i | \(-0.569897\pi\) |
0.594954 | + | 0.803760i | \(0.297170\pi\) | |||||||
\(578\) | −35.5751 | + | 10.4458i | −1.47973 | + | 0.434488i | ||||
\(579\) | −35.2958 | − | 30.5840i | −1.46684 | − | 1.27103i | ||||
\(580\) | −3.82198 | − | 2.45624i | −0.158699 | − | 0.101990i | ||||
\(581\) | 20.5351 | + | 34.6373i | 0.851938 | + | 1.43700i | ||||
\(582\) | 28.9558 | − | 4.16321i | 1.20025 | − | 0.172571i | ||||
\(583\) | −5.78537 | − | 1.69874i | −0.239605 | − | 0.0703545i | ||||
\(584\) | 0.394860 | + | 0.614414i | 0.0163394 | + | 0.0254246i | ||||
\(585\) | −71.3743 | − | 10.2621i | −2.95097 | − | 0.424285i | ||||
\(586\) | −7.96984 | + | 17.4515i | −0.329231 | + | 0.720915i | ||||
\(587\) | −14.6047 | − | 6.66972i | −0.602799 | − | 0.275289i | 0.0905492 | − | 0.995892i | \(-0.471138\pi\) |
−0.693348 | + | 0.720603i | \(0.743865\pi\) | |||||||
\(588\) | −16.5856 | − | 9.07134i | −0.683980 | − | 0.374096i | ||||
\(589\) | 4.78277 | + | 7.44213i | 0.197071 | + | 0.306648i | ||||
\(590\) | 5.08480 | − | 17.3172i | 0.209338 | − | 0.712939i | ||||
\(591\) | −18.0156 | + | 2.59025i | −0.741061 | + | 0.106549i | ||||
\(592\) | 4.61073 | − | 3.99522i | 0.189500 | − | 0.164203i | ||||
\(593\) | −10.1540 | + | 15.7999i | −0.416975 | + | 0.648825i | −0.984673 | − | 0.174411i | \(-0.944198\pi\) |
0.567698 | + | 0.823237i | \(0.307834\pi\) | |||||||
\(594\) | −2.27223 | + | 2.62230i | −0.0932308 | + | 0.107594i | ||||
\(595\) | −62.5213 | + | 6.69986i | −2.56312 | + | 0.274667i | ||||
\(596\) | −7.37675 | + | 3.36885i | −0.302163 | + | 0.137993i | ||||
\(597\) | 20.9350i | 0.856814i | ||||||||
\(598\) | 20.5964 | + | 14.0341i | 0.842251 | + | 0.573898i | ||||
\(599\) | −48.0943 | −1.96508 | −0.982539 | − | 0.186056i | \(-0.940430\pi\) | ||||
−0.982539 | + | 0.186056i | \(0.940430\pi\) | |||||||
\(600\) | −13.3757 | + | 6.10847i | −0.546060 | + | 0.249377i | ||||
\(601\) | −8.12604 | − | 27.6748i | −0.331468 | − | 1.12888i | −0.941644 | − | 0.336611i | \(-0.890719\pi\) |
0.610176 | − | 0.792266i | \(-0.291099\pi\) | |||||||
\(602\) | 16.5982 | + | 20.6116i | 0.676490 | + | 0.840068i | ||||
\(603\) | 13.1076 | − | 20.3958i | 0.533782 | − | 0.830581i | ||||
\(604\) | −3.39873 | − | 3.92235i | −0.138293 | − | 0.159598i | ||||
\(605\) | −4.60543 | − | 32.0315i | −0.187237 | − | 1.30226i | ||||
\(606\) | 35.1615 | + | 10.3243i | 1.42834 | + | 0.419398i | ||||
\(607\) | −18.4193 | − | 28.6609i | −0.747614 | − | 1.16331i | −0.981577 | − | 0.191065i | \(-0.938806\pi\) |
0.233963 | − | 0.972245i | \(-0.424831\pi\) | |||||||
\(608\) | 0.260065 | − | 1.80879i | 0.0105470 | − | 0.0733563i | ||||
\(609\) | −8.24864 | − | 5.73136i | −0.334252 | − | 0.232247i | ||||
\(610\) | −4.50154 | + | 9.85700i | −0.182262 | + | 0.399098i | ||||
\(611\) | 5.39699 | − | 37.5369i | 0.218339 | − | 1.51858i | ||||
\(612\) | −26.5598 | + | 17.0690i | −1.07362 | + | 0.689972i | ||||
\(613\) | −9.96632 | + | 33.9422i | −0.402536 | + | 1.37091i | 0.470132 | + | 0.882596i | \(0.344206\pi\) |
−0.872667 | + | 0.488315i | \(0.837612\pi\) | |||||||
\(614\) | −27.3225 | + | 3.92838i | −1.10265 | + | 0.158536i | ||||
\(615\) | 60.2309 | + | 69.5102i | 2.42874 | + | 2.80292i | ||||
\(616\) | −1.79169 | + | 1.92308i | −0.0721892 | + | 0.0774830i | ||||
\(617\) | −28.6459 | − | 24.8218i | −1.15324 | − | 0.999289i | −0.999938 | − | 0.0111095i | \(-0.996464\pi\) |
−0.153302 | − | 0.988179i | \(-0.548991\pi\) | |||||||
\(618\) | 6.22358 | + | 21.1956i | 0.250349 | + | 0.852611i | ||||
\(619\) | 12.9916 | + | 28.4476i | 0.522176 | + | 1.14341i | 0.968609 | + | 0.248589i | \(0.0799669\pi\) |
−0.446433 | + | 0.894817i | \(0.647306\pi\) | |||||||
\(620\) | − | 15.6455i | − | 0.628339i | ||||||
\(621\) | 16.7445 | + | 0.450955i | 0.671932 | + | 0.0180962i | ||||
\(622\) | 18.1695i | 0.728531i | ||||||||
\(623\) | 5.90269 | + | 23.1599i | 0.236486 | + | 0.927883i | ||||
\(624\) | −13.4662 | + | 3.95404i | −0.539080 | + | 0.158288i | ||||
\(625\) | 14.7852 | − | 17.0631i | 0.591410 | − | 0.682523i | ||||
\(626\) | −5.34781 | − | 3.43683i | −0.213741 | − | 0.137363i | ||||
\(627\) | −3.21057 | − | 3.70520i | −0.128218 | − | 0.147971i | ||||
\(628\) | 2.35506 | + | 16.3798i | 0.0939772 | + | 0.653625i | ||||
\(629\) | 12.6397 | − | 43.0468i | 0.503977 | − | 1.71639i | ||||
\(630\) | −33.9211 | + | 14.0369i | −1.35145 | + | 0.559242i | ||||
\(631\) | −2.43880 | − | 0.350647i | −0.0970872 | − | 0.0139590i | 0.0936000 | − | 0.995610i | \(-0.470163\pi\) |
−0.190687 | + | 0.981651i | \(0.561072\pi\) | |||||||
\(632\) | 0.274167 | + | 0.125208i | 0.0109058 | + | 0.00498050i | ||||
\(633\) | 3.36500 | + | 1.53674i | 0.133747 | + | 0.0610801i | ||||
\(634\) | −1.29252 | + | 8.98967i | −0.0513325 | + | 0.357026i | ||||
\(635\) | 21.1799 | − | 13.6115i | 0.840498 | − | 0.540156i | ||||
\(636\) | −15.7273 | − | 4.61795i | −0.623628 | − | 0.183114i | ||||
\(637\) | −35.5413 | − | 7.75730i | −1.40820 | − | 0.307355i | ||||
\(638\) | −1.05542 | + | 0.914529i | −0.0417846 | + | 0.0362066i | ||||
\(639\) | −0.888472 | − | 0.570986i | −0.0351474 | − | 0.0225879i | ||||
\(640\) | −2.11641 | + | 2.44247i | −0.0836586 | + | 0.0965472i | ||||
\(641\) | −5.57616 | − | 18.9907i | −0.220245 | − | 0.750086i | −0.993281 | − | 0.115724i | \(-0.963081\pi\) |
0.773036 | − | 0.634362i | \(-0.218737\pi\) | |||||||
\(642\) | −5.85861 | − | 12.8286i | −0.231221 | − | 0.506303i | ||||
\(643\) | −20.1026 | −0.792770 | −0.396385 | − | 0.918084i | \(-0.629735\pi\) | ||||
−0.396385 | + | 0.918084i | \(0.629735\pi\) | |||||||
\(644\) | 12.6634 | + | 0.798483i | 0.499009 | + | 0.0314646i | ||||
\(645\) | 87.3010 | 3.43747 | ||||||||
\(646\) | −5.58240 | − | 12.2237i | −0.219637 | − | 0.480937i | ||||
\(647\) | −6.50475 | − | 22.1531i | −0.255728 | − | 0.870930i | −0.982848 | − | 0.184419i | \(-0.940960\pi\) |
0.727120 | − | 0.686511i | \(-0.240858\pi\) | |||||||
\(648\) | 2.25758 | − | 2.60539i | 0.0886862 | − | 0.102349i | ||||
\(649\) | −4.66714 | − | 2.99939i | −0.183201 | − | 0.117736i | ||||
\(650\) | −21.3849 | + | 18.5301i | −0.838785 | + | 0.726812i | ||||
\(651\) | 1.24655 | − | 34.5675i | 0.0488561 | − | 1.35481i | ||||
\(652\) | 6.90800 | + | 2.02837i | 0.270538 | + | 0.0794371i | ||||
\(653\) | −14.9853 | + | 9.63044i | −0.586418 | + | 0.376868i | −0.799949 | − | 0.600068i | \(-0.795140\pi\) |
0.213531 | + | 0.976936i | \(0.431504\pi\) | |||||||
\(654\) | 3.82750 | − | 26.6208i | 0.149667 | − | 1.04096i | ||||
\(655\) | 25.5991 | + | 11.6907i | 1.00024 | + | 0.456794i | ||||
\(656\) | 9.58566 | + | 4.37763i | 0.374257 | + | 0.170918i | ||||
\(657\) | 3.10372 | + | 0.446248i | 0.121088 | + | 0.0174098i | ||||
\(658\) | −7.38221 | − | 17.8397i | −0.287788 | − | 0.695463i | ||||
\(659\) | 10.6885 | − | 36.4016i | 0.416363 | − | 1.41800i | −0.438304 | − | 0.898827i | \(-0.644421\pi\) |
0.854667 | − | 0.519176i | \(-0.173761\pi\) | |||||||
\(660\) | 1.23397 | + | 8.58242i | 0.0480321 | + | 0.334070i | ||||
\(661\) | −15.7756 | − | 18.2060i | −0.613600 | − | 0.708132i | 0.360879 | − | 0.932613i | \(-0.382477\pi\) |
−0.974479 | + | 0.224481i | \(0.927931\pi\) | |||||||
\(662\) | 20.7974 | + | 13.3657i | 0.808313 | + | 0.519471i | ||||
\(663\) | −67.5864 | + | 77.9988i | −2.62484 | + | 3.02922i | ||||
\(664\) | 14.6030 | − | 4.28783i | 0.566706 | − | 0.166400i | ||||
\(665\) | −3.85904 | − | 15.1414i | −0.149647 | − | 0.587160i | ||||
\(666\) | − | 26.1929i | − | 1.01496i | ||||||
\(667\) | 6.64489 | + | 1.13876i | 0.257291 | + | 0.0440929i | ||||
\(668\) | − | 19.8751i | − | 0.768991i | ||||||
\(669\) | −9.10292 | − | 19.9326i | −0.351939 | − | 0.770639i | ||||
\(670\) | −5.14174 | − | 17.5112i | −0.198643 | − | 0.676515i | ||||
\(671\) | 2.51735 | + | 2.18130i | 0.0971814 | + | 0.0842082i | ||||
\(672\) | −4.87064 | + | 5.22781i | −0.187889 | + | 0.201667i | ||||
\(673\) | −24.9473 | − | 28.7907i | −0.961646 | − | 1.10980i | −0.993896 | − | 0.110319i | \(-0.964813\pi\) |
0.0322503 | − | 0.999480i | \(-0.489733\pi\) | |||||||
\(674\) | −32.0169 | + | 4.60334i | −1.23325 | + | 0.177314i | ||||
\(675\) | −5.35784 | + | 18.2471i | −0.206223 | + | 0.702333i | ||||
\(676\) | −11.7838 | + | 7.57297i | −0.453222 | + | 0.291268i | ||||
\(677\) | −4.29186 | + | 29.8505i | −0.164950 | + | 1.14725i | 0.724186 | + | 0.689605i | \(0.242216\pi\) |
−0.889135 | + | 0.457644i | \(0.848693\pi\) | |||||||
\(678\) | 17.9808 | − | 39.3725i | 0.690549 | − | 1.51209i | ||||
\(679\) | 16.3532 | − | 23.5356i | 0.627577 | − | 0.903215i | ||||
\(680\) | −3.38227 | + | 23.5242i | −0.129704 | + | 0.902112i | ||||
\(681\) | −27.6459 | − | 43.0178i | −1.05939 | − | 1.64845i | ||||
\(682\) | −4.61444 | − | 1.35492i | −0.176696 | − | 0.0518826i | ||||
\(683\) | 0.0548993 | + | 0.381833i | 0.00210066 | + | 0.0146104i | 0.990845 | − | 0.135006i | \(-0.0431053\pi\) |
−0.988744 | + | 0.149616i | \(0.952196\pi\) | |||||||
\(684\) | −5.13776 | − | 5.92929i | −0.196447 | − | 0.226712i | ||||
\(685\) | −14.8782 | + | 23.1510i | −0.568469 | + | 0.884554i | ||||
\(686\) | −17.5786 | + | 5.83046i | −0.671153 | + | 0.222608i | ||||
\(687\) | 4.75944 | + | 16.2092i | 0.181584 | + | 0.618418i | ||||
\(688\) | 9.09852 | − | 4.15515i | 0.346878 | − | 0.158414i | ||||
\(689\) | −31.5422 | −1.20166 | ||||||||
\(690\) | 28.2528 | − | 30.8847i | 1.07557 | − | 1.17576i | ||||
\(691\) | 34.8820i | 1.32697i | 0.748187 | + | 0.663487i | \(0.230924\pi\) | ||||
−0.748187 | + | 0.663487i | \(0.769076\pi\) | |||||||
\(692\) | 13.3402 | − | 6.09228i | 0.507120 | − | 0.231594i | ||||
\(693\) | 1.20237 | + | 11.2202i | 0.0456743 | + | 0.426220i | ||||
\(694\) | 12.2186 | − | 14.1010i | 0.463810 | − | 0.535265i | ||||
\(695\) | −2.05555 | + | 3.19849i | −0.0779713 | + | 0.121326i | ||||
\(696\) | −2.86913 | + | 2.48611i | −0.108754 | + | 0.0942359i | ||||
\(697\) | 76.7043 | − | 11.0284i | 2.90538 | − | 0.417731i | ||||
\(698\) | 0.737211 | − | 2.51071i | 0.0279039 | − | 0.0950318i | ||||
\(699\) | 31.6591 | + | 49.2625i | 1.19746 | + | 1.86328i | ||||
\(700\) | −4.55407 | + | 13.6670i | −0.172128 | + | 0.516565i | ||||
\(701\) | −9.86090 | − | 4.50332i | −0.372441 | − | 0.170088i | 0.220396 | − | 0.975410i | \(-0.429265\pi\) |
−0.592837 | + | 0.805322i | \(0.701992\pi\) | |||||||
\(702\) | −7.54029 | + | 16.5109i | −0.284590 | + | 0.623165i | ||||
\(703\) | 11.0352 | + | 1.58663i | 0.416202 | + | 0.0598408i | ||||
\(704\) | 0.537091 | + | 0.835730i | 0.0202424 | + | 0.0314978i | ||||
\(705\) | −61.1105 | − | 17.9437i | −2.30156 | − | 0.675798i | ||||
\(706\) | −16.4292 | + | 2.36216i | −0.618322 | + | 0.0889012i | ||||
\(707\) | 30.8821 | − | 18.3088i | 1.16144 | − | 0.688572i | ||||
\(708\) | −12.6874 | − | 8.15373i | −0.476823 | − | 0.306436i | ||||
\(709\) | −3.15018 | − | 2.72965i | −0.118308 | − | 0.102514i | 0.593698 | − | 0.804688i | \(-0.297667\pi\) |
−0.712005 | + | 0.702174i | \(0.752213\pi\) | |||||||
\(710\) | −0.762813 | + | 0.223982i | −0.0286279 | + | 0.00840590i | ||||
\(711\) | 1.17708 | − | 0.537556i | 0.0441440 | − | 0.0201599i | ||||
\(712\) | 9.03346 | 0.338543 | ||||||||
\(713\) | 9.07255 | + | 21.3707i | 0.339770 | + | 0.800340i | ||||
\(714\) | −9.34712 | + | 51.7053i | −0.349807 | + | 1.93502i | ||||
\(715\) | 6.93129 | + | 15.1774i | 0.259216 | + | 0.567603i | ||||
\(716\) | 23.1384 | − | 6.79404i | 0.864721 | − | 0.253905i | ||||
\(717\) | 26.0361 | + | 22.5604i | 0.972337 | + | 0.842534i | ||||
\(718\) | −5.75154 | + | 8.94957i | −0.214645 | + | 0.333995i | ||||
\(719\) | −11.2532 | + | 9.75099i | −0.419675 | + | 0.363651i | −0.838950 | − | 0.544209i | \(-0.816830\pi\) |
0.419275 | + | 0.907859i | \(0.362284\pi\) | |||||||
\(720\) | 1.97467 | + | 13.7341i | 0.0735915 | + | 0.511840i | ||||
\(721\) | 19.3491 | + | 9.69386i | 0.720600 | + | 0.361018i | ||||
\(722\) | −13.1746 | + | 8.46678i | −0.490306 | + | 0.315101i | ||||
\(723\) | −53.3021 | − | 7.66368i | −1.98232 | − | 0.285015i | ||||
\(724\) | 1.21144 | − | 2.65269i | 0.0450229 | − | 0.0985863i | ||||
\(725\) | −3.17966 | + | 6.96248i | −0.118089 | + | 0.258580i | ||||
\(726\) | −26.7662 | − | 3.84840i | −0.993388 | − | 0.142828i | ||||
\(727\) | 29.7705 | − | 19.1324i | 1.10413 | − | 0.709580i | 0.144122 | − | 0.989560i | \(-0.453964\pi\) |
0.960006 | + | 0.279980i | \(0.0903279\pi\) | |||||||
\(728\) | −6.15881 | + | 12.2931i | −0.228261 | + | 0.455613i | ||||
\(729\) | −6.13354 | − | 42.6597i | −0.227168 | − | 1.57999i | ||||
\(730\) | 1.78387 | − | 1.54573i | 0.0660241 | − | 0.0572102i | ||||
\(731\) | 39.7668 | − | 61.8783i | 1.47083 | − | 2.28865i | ||||
\(732\) | 6.84333 | + | 5.92978i | 0.252937 | + | 0.219171i | ||||
\(733\) | 46.4594 | − | 13.6417i | 1.71602 | − | 0.503868i | 0.731902 | − | 0.681410i | \(-0.238633\pi\) |
0.984113 | + | 0.177542i | \(0.0568146\pi\) | |||||||
\(734\) | −11.5479 | − | 25.2863i | −0.426240 | − | 0.933335i | ||||
\(735\) | −21.3904 | + | 57.2290i | −0.788997 | + | 2.11092i | ||||
\(736\) | 1.47453 | − | 4.56352i | 0.0543521 | − | 0.168214i | ||||
\(737\) | −5.60997 | −0.206646 | ||||||||
\(738\) | 41.1542 | − | 18.7945i | 1.51491 | − | 0.691835i | ||||
\(739\) | −17.1623 | + | 5.03929i | −0.631324 | + | 0.185373i | −0.581712 | − | 0.813395i | \(-0.697617\pi\) |
−0.0496123 | + | 0.998769i | \(0.515799\pi\) | |||||||
\(740\) | −14.9012 | − | 12.9120i | −0.547780 | − | 0.474654i | ||||
\(741\) | −21.5756 | − | 13.8658i | −0.792600 | − | 0.509373i | ||||
\(742\) | −13.8132 | + | 8.18928i | −0.507098 | + | 0.300638i | ||||
\(743\) | 24.6550 | − | 3.54485i | 0.904503 | − | 0.130048i | 0.325660 | − | 0.945487i | \(-0.394414\pi\) |
0.578843 | + | 0.815439i | \(0.303504\pi\) | |||||||
\(744\) | −12.5442 | − | 3.68330i | −0.459892 | − | 0.135036i | ||||
\(745\) | 14.1697 | + | 22.0484i | 0.519137 | + | 0.807792i | ||||
\(746\) | −11.7071 | − | 1.68323i | −0.428628 | − | 0.0616274i | ||||
\(747\) | 27.1440 | − | 59.4372i | 0.993149 | − | 2.17469i | ||||
\(748\) | 6.64525 | + | 3.03478i | 0.242974 | + | 0.110963i | ||||
\(749\) | −13.1080 | − | 4.36779i | −0.478955 | − | 0.159596i | ||||
\(750\) | 2.09925 | + | 3.26650i | 0.0766539 | + | 0.119276i | ||||
\(751\) | −10.5907 | + | 36.0687i | −0.386462 | + | 1.31617i | 0.505019 | + | 0.863108i | \(0.331485\pi\) |
−0.891481 | + | 0.453059i | \(0.850333\pi\) | |||||||
\(752\) | −7.22299 | + | 1.03851i | −0.263395 | + | 0.0378705i | ||||
\(753\) | −46.4451 | + | 40.2449i | −1.69255 | + | 1.46660i | ||||
\(754\) | −3.94966 | + | 6.14579i | −0.143838 | + | 0.223817i | ||||
\(755\) | −10.9842 | + | 12.6765i | −0.399756 | + | 0.461343i | ||||
\(756\) | 0.984628 | + | 9.18828i | 0.0358106 | + | 0.334175i | ||||
\(757\) | 0.876001 | − | 0.400056i | 0.0318388 | − | 0.0145403i | −0.399432 | − | 0.916763i | \(-0.630793\pi\) |
0.431271 | + | 0.902223i | \(0.358065\pi\) | |||||||
\(758\) | 7.89403i | 0.286724i | ||||||||
\(759\) | −6.66231 | − | 11.0075i | −0.241826 | − | 0.399545i | ||||
\(760\) | −5.90587 | −0.214229 | ||||||||
\(761\) | −10.9260 | + | 4.98973i | −0.396066 | + | 0.180878i | −0.603484 | − | 0.797375i | \(-0.706221\pi\) |
0.207418 | + | 0.978252i | \(0.433494\pi\) | |||||||
\(762\) | −5.92713 | − | 20.1860i | −0.214717 | − | 0.731260i | ||||
\(763\) | −16.5256 | − | 20.5216i | −0.598267 | − | 0.742930i | ||||
\(764\) | 2.91306 | − | 4.53281i | 0.105391 | − | 0.163991i | ||||
\(765\) | 66.8189 | + | 77.1131i | 2.41584 | + | 2.78803i | ||||
\(766\) | 3.69413 | + | 25.6933i | 0.133474 | + | 0.928335i | ||||
\(767\) | −27.8463 | − | 8.17642i | −1.00547 | − | 0.295234i | ||||
\(768\) | 1.46006 | + | 2.27190i | 0.0526854 | + | 0.0819801i | ||||
\(769\) | −2.00240 | + | 13.9270i | −0.0722082 | + | 0.502219i | 0.921335 | + | 0.388769i | \(0.127099\pi\) |
−0.993544 | + | 0.113451i | \(0.963810\pi\) | |||||||
\(770\) | 6.97591 | + | 4.84704i | 0.251394 | + | 0.174675i | ||||
\(771\) | −21.8627 | + | 47.8726i | −0.787366 | + | 1.72409i | ||||
\(772\) | −2.46112 | + | 17.1175i | −0.0885777 | + | 0.616071i | ||||
\(773\) | −4.12883 | + | 2.65344i | −0.148504 | + | 0.0954374i | −0.612783 | − | 0.790252i | \(-0.709950\pi\) |
0.464279 | + | 0.885689i | \(0.346313\pi\) | |||||||
\(774\) | 12.0986 | − | 41.2040i | 0.434874 | − | 1.48105i | ||||
\(775\) | −26.0906 | + | 3.75126i | −0.937200 | + | 0.134749i | ||||
\(776\) | −7.09357 | − | 8.18641i | −0.254644 | − | 0.293875i | ||||
\(777\) | −31.8942 | − | 29.7152i | −1.14420 | − | 1.06603i | ||||
\(778\) | 16.6360 | + | 14.4152i | 0.596431 | + | 0.516811i | ||||
\(779\) | 5.42533 | + | 18.4770i | 0.194382 | + | 0.662006i | ||||
\(780\) | 18.8425 | + | 41.2592i | 0.674668 | + | 1.47732i | ||||
\(781\) | 0.244379i | 0.00874456i | ||||||||
\(782\) | −9.02130 | − | 34.0938i | −0.322601 | − | 1.21919i | ||||
\(783\) | 4.90992i | 0.175466i | ||||||||
\(784\) | 0.494545 | + | 6.98251i | 0.0176623 | + | 0.249375i | ||||
\(785\) | 51.3151 | − | 15.0675i | 1.83152 | − | 0.537781i | ||||
\(786\) | 15.3999 | − | 17.7725i | 0.549297 | − | 0.633923i | ||||
\(787\) | 0.992341 | + | 0.637739i | 0.0353731 | + | 0.0227329i | 0.558208 | − | 0.829701i | \(-0.311489\pi\) |
−0.522835 | + | 0.852434i | \(0.675126\pi\) | |||||||
\(788\) | 4.41344 | + | 5.09339i | 0.157222 | + | 0.181444i | ||||
\(789\) | −5.82323 | − | 40.5015i | −0.207312 | − | 1.44189i | ||||
\(790\) | 0.274434 | − | 0.934636i | 0.00976392 | − | 0.0332529i | ||||
\(791\) | −16.2140 | − | 39.1824i | −0.576504 | − | 1.39317i | ||||
\(792\) | 4.22171 | + | 0.606990i | 0.150012 | + | 0.0215684i | ||||
\(793\) | 15.8502 | + | 7.23854i | 0.562857 | + | 0.257048i | ||||
\(794\) | 5.22380 | + | 2.38563i | 0.185386 | + | 0.0846628i | ||||
\(795\) | −7.53901 | + | 52.4349i | −0.267381 | + | 1.85968i | ||||
\(796\) | 6.52137 | − | 4.19103i | 0.231144 | − | 0.148547i | ||||
\(797\) | −6.71668 | − | 1.97220i | −0.237917 | − | 0.0698587i | 0.160600 | − | 0.987020i | \(-0.448657\pi\) |
−0.398517 | + | 0.917161i | \(0.630475\pi\) | |||||||
\(798\) | −13.0485 | − | 0.470548i | −0.461913 | − | 0.0166572i | ||||
\(799\) | −40.5550 | + | 35.1411i | −1.43473 | + | 1.24320i | ||||
\(800\) | 4.58052 | + | 2.94372i | 0.161946 | + | 0.104076i | ||||
\(801\) | 25.3978 | − | 29.3106i | 0.897386 | − | 1.03564i | ||||
\(802\) | 6.66536 | + | 22.7001i | 0.235362 | + | 0.801569i | ||||
\(803\) | −0.301408 | − | 0.659992i | −0.0106365 | − | 0.0232906i | ||||
\(804\) | −15.2505 | −0.537843 | ||||||||
\(805\) | −3.27011 | − | 40.8770i | −0.115256 | − | 1.44073i | ||||
\(806\) | −25.1582 | −0.886160 | ||||||||
\(807\) | 1.23140 | + | 2.69639i | 0.0433474 | + | 0.0949176i | ||||
\(808\) | −3.82297 | − | 13.0198i | −0.134491 | − | 0.458036i | ||||
\(809\) | −32.5052 | + | 37.5130i | −1.14282 | + | 1.31889i | −0.202235 | + | 0.979337i | \(0.564820\pi\) |
−0.940588 | + | 0.339550i | \(0.889725\pi\) | |||||||
\(810\) | −9.37289 | − | 6.02359i | −0.329330 | − | 0.211647i | ||||
\(811\) | −30.9573 | + | 26.8246i | −1.08706 | + | 0.941941i | −0.998534 | − | 0.0541335i | \(-0.982760\pi\) |
−0.0885237 | + | 0.996074i | \(0.528215\pi\) | |||||||
\(812\) | −0.134035 | + | 3.71686i | −0.00470371 | + | 0.130436i | ||||
\(813\) | −0.659942 | − | 0.193777i | −0.0231452 | − | 0.00679604i | ||||
\(814\) | −5.09868 | + | 3.27673i | −0.178709 | + | 0.114849i | ||||
\(815\) | 3.31140 | − | 23.0313i | 0.115993 | − | 0.806752i | ||||
\(816\) | 18.0649 | + | 8.24994i | 0.632396 | + | 0.288806i | ||||
\(817\) | 16.6266 | + | 7.59311i | 0.581691 | + | 0.265649i | ||||
\(818\) | 20.1440 | + | 2.89626i | 0.704317 | + | 0.101266i | ||||
\(819\) | 22.5714 | + | 54.5456i | 0.788710 | + | 1.90598i | ||||
\(820\) | 9.59501 | − | 32.6776i | 0.335072 | − | 1.14115i | ||||
\(821\) | −2.26883 | − | 15.7800i | −0.0791825 | − | 0.550727i | −0.990339 | − | 0.138666i | \(-0.955718\pi\) |
0.911157 | − | 0.412060i | \(-0.135191\pi\) | |||||||
\(822\) | 15.0592 | + | 17.3793i | 0.525251 | + | 0.606171i | ||||
\(823\) | 16.8290 | + | 10.8153i | 0.586621 | + | 0.376999i | 0.800026 | − | 0.599965i | \(-0.204819\pi\) |
−0.213405 | + | 0.976964i | \(0.568455\pi\) | |||||||
\(824\) | 5.35661 | − | 6.18186i | 0.186606 | − | 0.215355i | ||||
\(825\) | 14.0162 | − | 4.11554i | 0.487983 | − | 0.143285i | ||||
\(826\) | −14.3175 | + | 3.64906i | −0.498170 | + | 0.126967i | ||||
\(827\) | − | 1.98916i | − | 0.0691697i | −0.999402 | − | 0.0345849i | \(-0.988989\pi\) | ||
0.999402 | − | 0.0345849i | \(-0.0110109\pi\) | |||||||
\(828\) | −10.6614 | − | 17.6148i | −0.370510 | − | 0.612157i | ||||
\(829\) | 18.1157i | 0.629186i | 0.949227 | + | 0.314593i | \(0.101868\pi\) | ||||
−0.949227 | + | 0.314593i | \(0.898132\pi\) | |||||||
\(830\) | −20.4331 | − | 44.7422i | −0.709243 | − | 1.55303i | ||||
\(831\) | 5.68169 | + | 19.3501i | 0.197096 | + | 0.671246i | ||||
\(832\) | 3.92753 | + | 3.40322i | 0.136163 | + | 0.117986i | ||||
\(833\) | 30.8199 | + | 41.2300i | 1.06785 | + | 1.42853i | ||||
\(834\) | 2.08055 | + | 2.40108i | 0.0720435 | + | 0.0831427i | ||||
\(835\) | −63.5797 | + | 9.14138i | −2.20026 | + | 0.316350i | ||||
\(836\) | −0.511456 | + | 1.74186i | −0.0176891 | + | 0.0602435i | ||||
\(837\) | −14.2243 | + | 9.14138i | −0.491662 | + | 0.315972i | ||||
\(838\) | 3.43382 | − | 23.8828i | 0.118619 | − | 0.825016i | ||||
\(839\) | 2.17275 | − | 4.75766i | 0.0750117 | − | 0.164253i | −0.868411 | − | 0.495845i | \(-0.834858\pi\) |
0.943423 | + | 0.331592i | \(0.107586\pi\) | |||||||
\(840\) | 18.9638 | + | 13.1765i | 0.654312 | + | 0.454632i | ||||
\(841\) | 3.84590 | − | 26.7488i | 0.132617 | − | 0.922372i | ||||
\(842\) | 1.82464 | + | 2.83919i | 0.0628811 | + | 0.0978449i | ||||
\(843\) | −32.3958 | − | 9.51225i | −1.11577 | − | 0.327619i | ||||
\(844\) | −0.194943 | − | 1.35586i | −0.00671021 | − | 0.0466705i | ||||
\(845\) | 29.6455 | + | 34.2127i | 1.01983 | + | 1.17695i | ||||
\(846\) | −16.9380 | + | 26.3560i | −0.582339 | + | 0.906137i | ||||
\(847\) | −20.6336 | + | 16.6159i | −0.708980 | + | 0.570928i | ||||
\(848\) | 1.70996 | + | 5.82360i | 0.0587204 | + | 0.199983i | ||||
\(849\) | −15.3100 | + | 6.99184i | −0.525438 | + | 0.239959i | ||||
\(850\) | 40.0401 | 1.37336 | ||||||||
\(851\) | 27.8415 | + | 8.99596i | 0.954394 | + | 0.308377i | ||||
\(852\) | 0.664335i | 0.0227597i | ||||||||
\(853\) | −26.6858 | + | 12.1870i | −0.913704 | + | 0.417275i | −0.816074 | − | 0.577948i | \(-0.803854\pi\) |
−0.0976307 | + | 0.995223i | \(0.531126\pi\) | |||||||
\(854\) | 8.82058 | − | 0.945225i | 0.301834 | − | 0.0323449i | ||||
\(855\) | −16.6045 | + | 19.1626i | −0.567861 | + | 0.655347i | ||||
\(856\) | −2.82331 | + | 4.39316i | −0.0964989 | + | 0.150155i | ||||
\(857\) | 22.5417 | − | 19.5325i | 0.770011 | − | 0.667219i | −0.178508 | − | 0.983939i | \(-0.557127\pi\) |
0.948519 | + | 0.316720i | \(0.102582\pi\) | |||||||
\(858\) | 13.8007 | − | 1.98423i | 0.471146 | − | 0.0677406i | ||||
\(859\) | 10.5949 | − | 36.0831i | 0.361495 | − | 1.23114i | −0.555256 | − | 0.831679i | \(-0.687380\pi\) |
0.916751 | − | 0.399459i | \(-0.130802\pi\) | |||||||
\(860\) | −17.4769 | − | 27.1947i | −0.595959 | − | 0.927330i | ||||
\(861\) | 23.8029 | − | 71.4339i | 0.811202 | − | 2.43446i | ||||
\(862\) | −6.74026 | − | 3.07817i | −0.229574 | − | 0.104843i | ||||
\(863\) | 18.7520 | − | 41.0611i | 0.638325 | − | 1.39774i | −0.263085 | − | 0.964773i | \(-0.584740\pi\) |
0.901411 | − | 0.432965i | \(-0.142533\pi\) | |||||||
\(864\) | 3.45718 | + | 0.497067i | 0.117616 | + | 0.0169106i | ||||
\(865\) | −25.6247 | − | 39.8728i | −0.871265 | − | 1.35571i | ||||
\(866\) | 34.7304 | + | 10.1978i | 1.18019 | + | 0.346534i | ||||
\(867\) | 99.1115 | − | 14.2501i | 3.36600 | − | 0.483958i | ||||
\(868\) | −11.0175 | + | 6.53182i | −0.373957 | + | 0.221704i | ||||
\(869\) | −0.251892 | − | 0.161881i | −0.00854486 | − | 0.00549145i | ||||
\(870\) | 9.27260 | + | 8.03476i | 0.314371 | + | 0.272404i | ||||
\(871\) | −28.1582 | + | 8.26799i | −0.954104 | + | 0.280150i | ||||
\(872\) | −9.05875 | + | 4.13699i | −0.306768 | + | 0.140096i | ||||
\(873\) | −46.5059 | −1.57399 | ||||||||
\(874\) | 8.06703 | − | 3.42471i | 0.272871 | − | 0.115842i | ||||
\(875\) | 3.74335 | + | 0.676711i | 0.126548 | + | 0.0228770i | ||||
\(876\) | −0.819367 | − | 1.79416i | −0.0276839 | − | 0.0606192i | ||||
\(877\) | −2.17350 | + | 0.638196i | −0.0733938 | + | 0.0215504i | −0.318223 | − | 0.948016i | \(-0.603086\pi\) |
0.244830 | + | 0.969566i | \(0.421268\pi\) | |||||||
\(878\) | −11.3943 | − | 9.87325i | −0.384540 | − | 0.333206i | ||||
\(879\) | 28.0116 | − | 43.5869i | 0.944809 | − | 1.47015i | ||||
\(880\) | 2.42643 | − | 2.10252i | 0.0817951 | − | 0.0708759i | ||||
\(881\) | 1.10985 | + | 7.71921i | 0.0373920 | + | 0.260067i | 0.999939 | − | 0.0110481i | \(-0.00351678\pi\) |
−0.962547 | + | 0.271115i | \(0.912608\pi\) | |||||||
\(882\) | 24.0463 | + | 18.0268i | 0.809682 | + | 0.606995i | ||||
\(883\) | 10.0917 | − | 6.48556i | 0.339614 | − | 0.218256i | −0.359706 | − | 0.933066i | \(-0.617123\pi\) |
0.699319 | + | 0.714809i | \(0.253487\pi\) | |||||||
\(884\) | 37.8272 | + | 5.43874i | 1.27227 | + | 0.182924i | ||||
\(885\) | −20.2480 | + | 44.3368i | −0.680628 | + | 1.49037i | ||||
\(886\) | 7.13928 | − | 15.6328i | 0.239849 | − | 0.525195i | ||||
\(887\) | 6.46984 | + | 0.930223i | 0.217236 | + | 0.0312338i | 0.250073 | − | 0.968227i | \(-0.419545\pi\) |
−0.0328373 | + | 0.999461i | \(0.510454\pi\) | |||||||
\(888\) | −13.8606 | + | 8.90765i | −0.465131 | + | 0.298921i | ||||
\(889\) | −18.4275 | − | 9.23211i | −0.618038 | − | 0.309635i | ||||
\(890\) | −4.15486 | − | 28.8977i | −0.139271 | − | 0.968652i | ||||
\(891\) | −2.58828 | + | 2.24276i | −0.0867107 | + | 0.0751353i | ||||
\(892\) | −4.38677 | + | 6.82595i | −0.146880 | + | 0.228550i | ||||
\(893\) | −10.0779 | − | 8.73256i | −0.337244 | − | 0.292224i | ||||
\(894\) | 21.0137 | − | 6.17019i | 0.702805 | − | 0.206362i | ||||
\(895\) | −32.3761 | − | 70.8938i | −1.08221 | − | 2.36972i | ||||
\(896\) | 2.60355 | + | 0.470662i | 0.0869785 | + | 0.0157237i | ||||
\(897\) | −49.6630 | − | 45.4309i | −1.65820 | − | 1.51690i | ||||
\(898\) | −8.57392 | −0.286116 | ||||||||
\(899\) | −6.19033 | + | 2.82703i | −0.206459 | + | 0.0942867i | ||||
\(900\) | 22.4296 | − | 6.58594i | 0.747654 | − | 0.219531i | ||||
\(901\) | 33.7314 | + | 29.2284i | 1.12376 | + | 0.973740i | ||||
\(902\) | −8.80689 | − | 5.65984i | −0.293237 | − | 0.188452i | ||||
\(903\) | −36.4471 | − | 61.4768i | −1.21288 | − | 2.04582i | ||||
\(904\) | −15.8643 | + | 2.28095i | −0.527640 | + | 0.0758632i | ||||
\(905\) | −9.04302 | − | 2.65527i | −0.300600 | − | 0.0882642i | ||||
\(906\) | 7.57773 | + | 11.7912i | 0.251753 | + | 0.391736i | ||||
\(907\) | 16.1818 | + | 2.32659i | 0.537306 | + | 0.0772530i | 0.405626 | − | 0.914039i | \(-0.367054\pi\) |
0.131681 | + | 0.991292i | \(0.457963\pi\) | |||||||
\(908\) | −7.86577 | + | 17.2236i | −0.261035 | + | 0.571586i | ||||
\(909\) | −52.9933 | − | 24.2012i | −1.75768 | − | 0.802705i | ||||
\(910\) | 42.1579 | + | 14.0477i | 1.39752 | + | 0.465676i | ||||
\(911\) | −3.63228 | − | 5.65193i | −0.120343 | − | 0.187257i | 0.775856 | − | 0.630910i | \(-0.217318\pi\) |
−0.896198 | + | 0.443654i | \(0.853682\pi\) | |||||||
\(912\) | −1.39037 | + | 4.73518i | −0.0460399 | + | 0.156797i | ||||
\(913\) | −14.9657 | + | 2.15174i | −0.495291 | + | 0.0712122i | ||||
\(914\) | 10.8063 | − | 9.36368i | 0.357439 | − | 0.309723i | ||||
\(915\) | 15.8216 | − | 24.6189i | 0.523046 | − | 0.813875i | ||||
\(916\) | 4.09643 | − | 4.72753i | 0.135350 | − | 0.156202i | ||||
\(917\) | −2.45479 | − | 22.9075i | −0.0810644 | − | 0.756471i | ||||
\(918\) | 23.3634 | − | 10.6697i | 0.771108 | − | 0.352153i | ||||
\(919\) | − | 25.2776i | − | 0.833831i | −0.908945 | − | 0.416915i | \(-0.863111\pi\) | ||
0.908945 | − | 0.416915i | \(-0.136889\pi\) | |||||||
\(920\) | −15.2767 | − | 2.61803i | −0.503659 | − | 0.0863137i | ||||
\(921\) | 74.5462 | 2.45638 | ||||||||
\(922\) | 6.81744 | − | 3.11342i | 0.224520 | − | 0.102535i | ||||
\(923\) | 0.360166 | + | 1.22661i | 0.0118550 | + | 0.0403745i | ||||
\(924\) | 5.52852 | − | 4.45201i | 0.181875 | − | 0.146460i | ||||
\(925\) | −17.9593 | + | 27.9452i | −0.590498 | + | 0.918833i | ||||
\(926\) | 26.5329 | + | 30.6206i | 0.871925 | + | 1.00626i | ||||
\(927\) | −4.99785 | − | 34.7608i | −0.164151 | − | 1.14169i | ||||
\(928\) | 1.34881 | + | 0.396047i | 0.0442769 | + | 0.0130009i | ||||
\(929\) | −11.3692 | − | 17.6908i | −0.373011 | − | 0.580416i | 0.603106 | − | 0.797661i | \(-0.293929\pi\) |
−0.976117 | + | 0.217245i | \(0.930293\pi\) | |||||||
\(930\) | −6.01316 | + | 41.8224i | −0.197179 | + | 1.37141i | ||||
\(931\) | −9.05140 | + | 9.03888i | −0.296648 | + | 0.296237i | ||||
\(932\) | 9.00761 | − | 19.7239i | 0.295054 | − | 0.646078i | ||||
\(933\) | 6.98322 | − | 48.5693i | 0.228620 | − | 1.59009i | ||||
\(934\) | 7.10384 | − | 4.56536i | 0.232445 | − | 0.149383i | ||||
\(935\) | 6.65172 | − | 22.6537i | 0.217535 | − | 0.740855i | ||||
\(936\) | 22.0846 | − | 3.17529i | 0.721859 | − | 0.103788i | ||||
\(937\) | 35.0587 | + | 40.4599i | 1.14532 | + | 1.32177i | 0.939252 | + | 0.343229i | \(0.111521\pi\) |
0.206066 | + | 0.978538i | \(0.433934\pi\) | |||||||
\(938\) | −10.1846 | + | 10.9315i | −0.332540 | + | 0.356926i | ||||
\(939\) | 12.9745 | + | 11.2424i | 0.423405 | + | 0.366883i | ||||
\(940\) | 6.64430 | + | 22.6284i | 0.216713 | + | 0.738057i | ||||
\(941\) | 3.45401 | + | 7.56324i | 0.112598 | + | 0.246554i | 0.957539 | − | 0.288305i | \(-0.0930918\pi\) |
−0.844941 | + | 0.534860i | \(0.820364\pi\) | |||||||
\(942\) | − | 44.6904i | − | 1.45609i | ||||||
\(943\) | 5.84300 | + | 50.1994i | 0.190274 | + | 1.63472i | ||||
\(944\) | 5.58451i | 0.181760i | ||||||||
\(945\) | 28.9401 | − | 7.37585i | 0.941420 | − | 0.239936i | ||||
\(946\) | −9.53423 | + | 2.79950i | −0.309985 | + | 0.0910197i | ||||
\(947\) | 0.373441 | − | 0.430974i | 0.0121352 | − | 0.0140048i | −0.749650 | − | 0.661835i | \(-0.769778\pi\) |
0.761785 | + | 0.647830i | \(0.224323\pi\) | |||||||
\(948\) | −0.684760 | − | 0.440068i | −0.0222400 | − | 0.0142928i | ||||
\(949\) | −2.48556 | − | 2.86849i | −0.0806847 | − | 0.0931152i | ||||
\(950\) | 1.41602 | + | 9.84867i | 0.0459419 | + | 0.319533i | ||||
\(951\) | 6.91013 | − | 23.5337i | 0.224076 | − | 0.763134i | ||||
\(952\) | 17.9777 | − | 7.43930i | 0.582659 | − | 0.241109i | ||||
\(953\) | −27.6973 | − | 3.98227i | −0.897203 | − | 0.128998i | −0.321742 | − | 0.946827i | \(-0.604268\pi\) |
−0.575461 | + | 0.817829i | \(0.695177\pi\) | |||||||
\(954\) | 23.7032 | + | 10.8249i | 0.767421 | + | 0.350469i | ||||
\(955\) | −15.8401 | − | 7.23393i | −0.512573 | − | 0.234084i | ||||
\(956\) | 1.81546 | − | 12.6268i | 0.0587161 | − | 0.408379i | ||||
\(957\) | 3.17277 | − | 2.03901i | 0.102561 | − | 0.0659119i | ||||
\(958\) | −3.22825 | − | 0.947900i | −0.104300 | − | 0.0306253i | ||||
\(959\) | 22.5143 | + | 0.811896i | 0.727024 | + | 0.0262175i | ||||
\(960\) | 6.59617 | − | 5.71562i | 0.212891 | − | 0.184471i | ||||
\(961\) | 6.36356 | + | 4.08961i | 0.205276 | + | 0.131923i | ||||
\(962\) | −20.7626 | + | 23.9614i | −0.669414 | + | 0.772545i | ||||
\(963\) | 6.31654 | + | 21.5122i | 0.203548 | + | 0.693220i | ||||
\(964\) | 8.28337 | + | 18.1380i | 0.266789 | + | 0.584187i | ||||
\(965\) | 55.8901 | 1.79916 | ||||||||
\(966\) | −33.5440 | − | 7.00147i | −1.07926 | − | 0.225269i | ||||
\(967\) | −40.0233 | −1.28706 | −0.643531 | − | 0.765420i | \(-0.722531\pi\) | ||||
−0.643531 | + | 0.765420i | \(0.722531\pi\) | |||||||
\(968\) | 4.15959 | + | 9.10823i | 0.133694 | + | 0.292749i | ||||
\(969\) | 10.2244 | + | 34.8211i | 0.328455 | + | 1.11862i | ||||
\(970\) | −22.9254 | + | 26.4573i | −0.736089 | + | 0.849492i | ||||
\(971\) | 16.8916 | + | 10.8556i | 0.542077 | + | 0.348372i | 0.782851 | − | 0.622210i | \(-0.213765\pi\) |
−0.240774 | + | 0.970581i | \(0.577401\pi\) | |||||||
\(972\) | −14.9550 | + | 12.9586i | −0.479683 | + | 0.415647i | ||||
\(973\) | 3.11052 | + | 0.112170i | 0.0997188 | + | 0.00359600i | ||||
\(974\) | 0.580084 | + | 0.170328i | 0.0185871 | + | 0.00545766i | ||||
\(975\) | 64.2864 | − | 41.3143i | 2.05881 | − | 1.32312i | ||||
\(976\) | 0.477175 | − | 3.31883i | 0.0152740 | − | 0.106233i | ||||
\(977\) | 1.79860 | + | 0.821393i | 0.0575423 | + | 0.0262787i | 0.443978 | − | 0.896038i | \(-0.353567\pi\) |
−0.386436 | + | 0.922316i | \(0.626294\pi\) | |||||||
\(978\) | −17.6864 | − | 8.07709i | −0.565547 | − | 0.258277i | ||||
\(979\) | −8.88281 | − | 1.27715i | −0.283896 | − | 0.0408180i | ||||
\(980\) | 22.1093 | − | 4.79357i | 0.706255 | − | 0.153125i | ||||
\(981\) | −12.0457 | + | 41.0239i | −0.384589 | + | 1.30979i | ||||
\(982\) | −1.91928 | − | 13.3489i | −0.0612466 | − | 0.425979i | ||||
\(983\) | −7.38602 | − | 8.52393i | −0.235578 | − | 0.271871i | 0.625635 | − | 0.780116i | \(-0.284840\pi\) |
−0.861213 | + | 0.508245i | \(0.830294\pi\) | |||||||
\(984\) | −23.9412 | − | 15.3861i | −0.763217 | − | 0.490490i | ||||
\(985\) | 14.2636 | − | 16.4611i | 0.454476 | − | 0.524494i | ||||
\(986\) | 9.91877 | − | 2.91241i | 0.315878 | − | 0.0927502i | ||||
\(987\) | 12.8771 | + | 50.5249i | 0.409883 | + | 1.60823i | ||||
\(988\) | 9.49672i | 0.302131i | ||||||||
\(989\) | 39.6420 | + | 27.0115i | 1.26054 | + | 0.858916i | ||||
\(990\) | − | 13.7842i | − | 0.438092i | ||||||
\(991\) | −8.85960 | − | 19.3998i | −0.281434 | − | 0.616255i | 0.715138 | − | 0.698983i | \(-0.246364\pi\) |
−0.996572 | + | 0.0827283i | \(0.973637\pi\) | |||||||
\(992\) | 1.36388 | + | 4.64494i | 0.0433031 | + | 0.147477i | ||||
\(993\) | −50.4570 | − | 43.7213i | −1.60121 | − | 1.38745i | ||||
\(994\) | 0.476192 | + | 0.443658i | 0.0151039 | + | 0.0140720i | ||||
\(995\) | −16.4064 | − | 18.9340i | −0.520117 | − | 0.600247i | ||||
\(996\) | −40.6836 | + | 5.84942i | −1.28911 | + | 0.185346i | ||||
\(997\) | 2.71518 | − | 9.24705i | 0.0859906 | − | 0.292857i | −0.905259 | − | 0.424861i | \(-0.860323\pi\) |
0.991249 | + | 0.132004i | \(0.0421412\pi\) | |||||||
\(998\) | 13.2141 | − | 8.49221i | 0.418286 | − | 0.268816i | ||||
\(999\) | −3.03254 | + | 21.0918i | −0.0959454 | + | 0.667315i |
(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 | 322.2.k.a.111.1 | ✓ | 80 | |
7.6 | odd | 2 | inner | 322.2.k.a.111.8 | yes | 80 | |
23.17 | odd | 22 | inner | 322.2.k.a.293.8 | yes | 80 | |
161.132 | even | 22 | inner | 322.2.k.a.293.1 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.k.a.111.1 | ✓ | 80 | 1.1 | even | 1 | trivial | |
322.2.k.a.111.8 | yes | 80 | 7.6 | odd | 2 | inner | |
322.2.k.a.293.1 | yes | 80 | 161.132 | even | 22 | inner | |
322.2.k.a.293.8 | yes | 80 | 23.17 | odd | 22 | inner |