Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(59,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 21, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bp (of order \(30\), 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: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(608\) |
Relative dimension: | \(76\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 59.2 | ||
Character | \(\chi\) | \(=\) | 525.59 |
Dual form | 525.2.bp.a.89.2 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.285976 | + | 2.72088i | −0.202215 | + | 1.92395i | 0.151235 | + | 0.988498i | \(0.451675\pi\) |
−0.353450 | + | 0.935453i | \(0.614992\pi\) | |||||||
\(3\) | 0.119854 | + | 1.72790i | 0.0691976 | + | 0.997603i | ||||
\(4\) | −5.36510 | − | 1.14039i | −2.68255 | − | 0.570193i | ||||
\(5\) | −1.52908 | + | 1.63154i | −0.683826 | + | 0.729645i | ||||
\(6\) | −4.73568 | − | 0.168030i | −1.93333 | − | 0.0685979i | ||||
\(7\) | −1.45661 | + | 2.20869i | −0.550546 | + | 0.834805i | ||||
\(8\) | 2.94628 | − | 9.06773i | 1.04167 | − | 3.20593i | ||||
\(9\) | −2.97127 | + | 0.414190i | −0.990423 | + | 0.138063i | ||||
\(10\) | −4.00193 | − | 4.62702i | −1.26552 | − | 1.46319i | ||||
\(11\) | 1.60825 | + | 3.61219i | 0.484905 | + | 1.08912i | 0.975953 | + | 0.217982i | \(0.0699475\pi\) |
−0.491047 | + | 0.871133i | \(0.663386\pi\) | |||||||
\(12\) | 1.32745 | − | 9.40703i | 0.383201 | − | 2.71557i | ||||
\(13\) | 2.34072 | − | 1.70063i | 0.649200 | − | 0.471671i | −0.213799 | − | 0.976878i | \(-0.568584\pi\) |
0.862998 | + | 0.505206i | \(0.168584\pi\) | |||||||
\(14\) | −5.59301 | − | 4.59488i | −1.49480 | − | 1.22803i | ||||
\(15\) | −3.00240 | − | 2.44655i | −0.775215 | − | 0.631697i | ||||
\(16\) | 13.8081 | + | 6.14776i | 3.45202 | + | 1.53694i | ||||
\(17\) | 1.70086 | − | 1.53146i | 0.412520 | − | 0.371434i | −0.436581 | − | 0.899665i | \(-0.643811\pi\) |
0.849101 | + | 0.528230i | \(0.177144\pi\) | |||||||
\(18\) | −0.277250 | − | 8.20291i | −0.0653484 | − | 1.93344i | ||||
\(19\) | 1.30665 | + | 6.14731i | 0.299766 | + | 1.41029i | 0.827779 | + | 0.561054i | \(0.189604\pi\) |
−0.528013 | + | 0.849236i | \(0.677063\pi\) | |||||||
\(20\) | 10.0643 | − | 7.00961i | 2.25044 | − | 1.56740i | ||||
\(21\) | −3.99097 | − | 2.25215i | −0.870900 | − | 0.491459i | ||||
\(22\) | −10.2882 | + | 3.34285i | −2.19346 | + | 0.712698i | ||||
\(23\) | −0.443342 | + | 4.21812i | −0.0924432 | + | 0.879538i | 0.845786 | + | 0.533523i | \(0.179132\pi\) |
−0.938229 | + | 0.346015i | \(0.887535\pi\) | |||||||
\(24\) | 16.0212 | + | 4.00408i | 3.27032 | + | 0.817329i | ||||
\(25\) | −0.323823 | − | 4.98950i | −0.0647646 | − | 0.997901i | ||||
\(26\) | 3.95783 | + | 6.85516i | 0.776194 | + | 1.34441i | ||||
\(27\) | −1.07180 | − | 5.08441i | −0.206267 | − | 0.978496i | ||||
\(28\) | 10.3336 | − | 10.1887i | 1.95287 | − | 1.92549i | ||||
\(29\) | 0.792446 | − | 0.257481i | 0.147154 | − | 0.0478131i | −0.234514 | − | 0.972113i | \(-0.575350\pi\) |
0.381668 | + | 0.924300i | \(0.375350\pi\) | |||||||
\(30\) | 7.51538 | − | 7.46950i | 1.37211 | − | 1.36374i | ||||
\(31\) | 1.55517 | − | 1.40028i | 0.279317 | − | 0.251498i | −0.517550 | − | 0.855653i | \(-0.673156\pi\) |
0.796867 | + | 0.604155i | \(0.206489\pi\) | |||||||
\(32\) | −11.1417 | + | 19.2980i | −1.96960 | + | 3.41144i | ||||
\(33\) | −6.04874 | + | 3.21183i | −1.05295 | + | 0.559107i | ||||
\(34\) | 3.68052 | + | 5.06580i | 0.631204 | + | 0.868777i | ||||
\(35\) | −1.37628 | − | 5.75377i | −0.232634 | − | 0.972564i | ||||
\(36\) | 16.4135 | + | 1.16623i | 2.73558 | + | 0.194371i | ||||
\(37\) | 2.63863 | − | 5.92646i | 0.433788 | − | 0.974303i | −0.555925 | − | 0.831233i | \(-0.687636\pi\) |
0.989712 | − | 0.143071i | \(-0.0456976\pi\) | |||||||
\(38\) | −17.0998 | + | 1.79726i | −2.77395 | + | 0.291553i | ||||
\(39\) | 3.21907 | + | 3.84071i | 0.515464 | + | 0.615005i | ||||
\(40\) | 10.2892 | + | 18.6723i | 1.62687 | + | 2.95234i | ||||
\(41\) | −5.05574 | + | 3.67321i | −0.789574 | + | 0.573659i | −0.907837 | − | 0.419323i | \(-0.862267\pi\) |
0.118263 | + | 0.992982i | \(0.462267\pi\) | |||||||
\(42\) | 7.26915 | − | 10.2149i | 1.12165 | − | 1.57619i | ||||
\(43\) | − | 2.30042i | − | 0.350811i | −0.984496 | − | 0.175405i | \(-0.943876\pi\) | ||
0.984496 | − | 0.175405i | \(-0.0561236\pi\) | |||||||
\(44\) | −4.50912 | − | 21.2138i | −0.679776 | − | 3.19809i | ||||
\(45\) | 3.86755 | − | 5.48107i | 0.576540 | − | 0.817069i | ||||
\(46\) | −11.3502 | − | 2.41256i | −1.67349 | − | 0.355712i | ||||
\(47\) | −1.45379 | − | 1.30900i | −0.212058 | − | 0.190938i | 0.556256 | − | 0.831011i | \(-0.312237\pi\) |
−0.768314 | + | 0.640073i | \(0.778904\pi\) | |||||||
\(48\) | −8.96776 | + | 24.5958i | −1.29438 | + | 3.55010i | ||||
\(49\) | −2.75659 | − | 6.43438i | −0.393799 | − | 0.919197i | ||||
\(50\) | 13.6684 | + | 0.545795i | 1.93301 | + | 0.0771870i | ||||
\(51\) | 2.85007 | + | 2.75537i | 0.399089 | + | 0.385829i | ||||
\(52\) | −14.4976 | + | 6.45474i | −2.01045 | + | 0.895112i | ||||
\(53\) | −1.94300 | − | 0.412998i | −0.266892 | − | 0.0567296i | 0.0725218 | − | 0.997367i | \(-0.476895\pi\) |
−0.339414 | + | 0.940637i | \(0.610229\pi\) | |||||||
\(54\) | 14.1406 | − | 1.46221i | 1.92429 | − | 0.198981i | ||||
\(55\) | −8.35256 | − | 2.89941i | −1.12626 | − | 0.390956i | ||||
\(56\) | 15.7362 | + | 19.7155i | 2.10284 | + | 2.63460i | ||||
\(57\) | −10.4653 | + | 2.99454i | −1.38617 | + | 0.396636i | ||||
\(58\) | 0.473955 | + | 2.22978i | 0.0622333 | + | 0.292785i | ||||
\(59\) | 0.452342 | + | 4.30374i | 0.0588899 | + | 0.560300i | 0.983693 | + | 0.179854i | \(0.0575626\pi\) |
−0.924803 | + | 0.380445i | \(0.875771\pi\) | |||||||
\(60\) | 13.3181 | + | 16.5499i | 1.71936 | + | 2.13658i | ||||
\(61\) | 7.50068 | + | 0.788353i | 0.960364 | + | 0.100938i | 0.571719 | − | 0.820449i | \(-0.306277\pi\) |
0.388645 | + | 0.921388i | \(0.372943\pi\) | |||||||
\(62\) | 3.36526 | + | 4.63188i | 0.427388 | + | 0.588249i | ||||
\(63\) | 3.41316 | − | 7.16592i | 0.430017 | − | 0.902821i | ||||
\(64\) | −24.8649 | − | 18.0654i | −3.10812 | − | 2.25818i | ||||
\(65\) | −0.804507 | + | 6.41938i | −0.0997868 | + | 0.796227i | ||||
\(66\) | −7.00919 | − | 17.3764i | −0.862772 | − | 2.13888i | ||||
\(67\) | −5.01229 | + | 4.51308i | −0.612348 | + | 0.551361i | −0.915876 | − | 0.401462i | \(-0.868502\pi\) |
0.303527 | + | 0.952823i | \(0.401836\pi\) | |||||||
\(68\) | −10.8718 | + | 6.27681i | −1.31839 | + | 0.761175i | ||||
\(69\) | −7.34161 | − | 0.260493i | −0.883827 | − | 0.0313597i | ||||
\(70\) | 16.0489 | − | 2.09926i | 1.91821 | − | 0.250910i | ||||
\(71\) | −4.35739 | + | 1.41580i | −0.517127 | + | 0.168025i | −0.555941 | − | 0.831222i | \(-0.687642\pi\) |
0.0388138 | + | 0.999246i | \(0.487642\pi\) | |||||||
\(72\) | −4.99844 | + | 28.1630i | −0.589072 | + | 3.31904i | ||||
\(73\) | −0.0366149 | + | 0.0163020i | −0.00428545 | + | 0.00190801i | −0.408878 | − | 0.912589i | \(-0.634080\pi\) |
0.404593 | + | 0.914497i | \(0.367413\pi\) | |||||||
\(74\) | 15.3706 | + | 8.87421i | 1.78679 | + | 1.03161i | ||||
\(75\) | 8.58255 | − | 1.15754i | 0.991027 | − | 0.133662i | ||||
\(76\) | − | 34.4710i | − | 3.95410i | ||||||
\(77\) | −10.3208 | − | 1.70942i | −1.17616 | − | 0.194806i | ||||
\(78\) | −11.3707 | + | 7.66035i | −1.28747 | + | 0.867363i | ||||
\(79\) | −11.0032 | + | 12.2203i | −1.23796 | + | 1.37489i | −0.336701 | + | 0.941612i | \(0.609311\pi\) |
−0.901259 | + | 0.433282i | \(0.857356\pi\) | |||||||
\(80\) | −31.1440 | + | 13.1280i | −3.48200 | + | 1.46775i | ||||
\(81\) | 8.65689 | − | 2.46134i | 0.961877 | − | 0.273482i | ||||
\(82\) | −8.54854 | − | 14.8065i | −0.944028 | − | 1.63510i | ||||
\(83\) | 5.02611 | + | 1.63308i | 0.551687 | + | 0.179254i | 0.571577 | − | 0.820548i | \(-0.306332\pi\) |
−0.0198905 | + | 0.999802i | \(0.506332\pi\) | |||||||
\(84\) | 18.8436 | + | 16.6343i | 2.05601 | + | 1.81495i | ||||
\(85\) | −0.102118 | + | 5.11675i | −0.0110762 | + | 0.554989i | ||||
\(86\) | 6.25916 | + | 0.657865i | 0.674943 | + | 0.0709394i | ||||
\(87\) | 0.539879 | + | 1.33841i | 0.0578811 | + | 0.143492i | ||||
\(88\) | 37.4927 | − | 3.94064i | 3.99673 | − | 0.420074i | ||||
\(89\) | −0.185866 | + | 1.76840i | −0.0197018 | + | 0.187450i | −0.999947 | − | 0.0103383i | \(-0.996709\pi\) |
0.980245 | + | 0.197788i | \(0.0633758\pi\) | |||||||
\(90\) | 13.8073 | + | 12.0906i | 1.45542 | + | 1.27446i | ||||
\(91\) | 0.346656 | + | 7.64708i | 0.0363394 | + | 0.801632i | ||||
\(92\) | 7.18886 | − | 22.1250i | 0.749490 | − | 2.30669i | ||||
\(93\) | 2.60594 | + | 2.51935i | 0.270223 | + | 0.261244i | ||||
\(94\) | 3.97738 | − | 3.58125i | 0.410236 | − | 0.369378i | ||||
\(95\) | −12.0275 | − | 7.26789i | −1.23400 | − | 0.745669i | ||||
\(96\) | −34.6804 | − | 16.9388i | −3.53955 | − | 1.72881i | ||||
\(97\) | −0.544631 | − | 1.67620i | −0.0552989 | − | 0.170192i | 0.919592 | − | 0.392874i | \(-0.128519\pi\) |
−0.974891 | + | 0.222681i | \(0.928519\pi\) | |||||||
\(98\) | 18.2955 | − | 5.66028i | 1.84812 | − | 0.571774i | ||||
\(99\) | −6.27467 | − | 10.0667i | −0.630629 | − | 1.01174i | ||||
\(100\) | −3.95262 | + | 27.1385i | −0.395262 | + | 2.71385i | ||||
\(101\) | 8.26656 | − | 14.3181i | 0.822554 | − | 1.42471i | −0.0812206 | − | 0.996696i | \(-0.525882\pi\) |
0.903774 | − | 0.428009i | \(-0.140785\pi\) | |||||||
\(102\) | −8.31207 | + | 6.96672i | −0.823017 | + | 0.689808i | ||||
\(103\) | 12.6109 | − | 14.0058i | 1.24259 | − | 1.38004i | 0.345360 | − | 0.938470i | \(-0.387757\pi\) |
0.897229 | − | 0.441565i | \(-0.145577\pi\) | |||||||
\(104\) | −8.52446 | − | 26.2356i | −0.835892 | − | 2.57261i | ||||
\(105\) | 9.77698 | − | 3.06769i | 0.954135 | − | 0.299376i | ||||
\(106\) | 1.67937 | − | 5.16856i | 0.163115 | − | 0.502015i | ||||
\(107\) | −4.13211 | − | 7.15702i | −0.399466 | − | 0.691896i | 0.594194 | − | 0.804322i | \(-0.297471\pi\) |
−0.993660 | + | 0.112426i | \(0.964138\pi\) | |||||||
\(108\) | −0.0479024 | + | 28.5006i | −0.00460941 | + | 2.74247i | ||||
\(109\) | 0.647783 | + | 6.16325i | 0.0620464 | + | 0.590332i | 0.980734 | + | 0.195347i | \(0.0625834\pi\) |
−0.918688 | + | 0.394985i | \(0.870750\pi\) | |||||||
\(110\) | 10.2776 | − | 21.8971i | 0.979927 | − | 2.08781i | ||||
\(111\) | 10.5566 | + | 3.84898i | 1.00199 | + | 0.365329i | ||||
\(112\) | −33.6914 | + | 21.5429i | −3.18354 | + | 2.03561i | ||||
\(113\) | −6.86769 | + | 4.98967i | −0.646058 | + | 0.469388i | −0.861926 | − | 0.507034i | \(-0.830742\pi\) |
0.215868 | + | 0.976422i | \(0.430742\pi\) | |||||||
\(114\) | −5.15495 | − | 29.3312i | −0.482805 | − | 2.74712i | ||||
\(115\) | −6.20410 | − | 7.17317i | −0.578536 | − | 0.668901i | ||||
\(116\) | −4.54518 | + | 0.477718i | −0.422009 | + | 0.0443550i | ||||
\(117\) | −6.25053 | + | 6.02255i | −0.577862 | + | 0.556785i | ||||
\(118\) | −11.8393 | −1.08990 | ||||||||
\(119\) | 0.905035 | + | 5.98741i | 0.0829644 | + | 0.548865i | ||||
\(120\) | −31.0306 | + | 20.0167i | −2.83269 | + | 1.82726i | ||||
\(121\) | −3.10099 | + | 3.44400i | −0.281908 | + | 0.313091i | ||||
\(122\) | −4.29003 | + | 20.1830i | −0.388401 | + | 1.82728i | ||||
\(123\) | −6.95289 | − | 8.29556i | −0.626921 | − | 0.747986i | ||||
\(124\) | −9.94051 | + | 5.73915i | −0.892684 | + | 0.515391i | ||||
\(125\) | 8.63571 | + | 7.10103i | 0.772401 | + | 0.635135i | ||||
\(126\) | 18.5215 | + | 11.3361i | 1.65003 | + | 1.00990i | ||||
\(127\) | 6.66775 | − | 9.17737i | 0.591667 | − | 0.814359i | −0.403247 | − | 0.915091i | \(-0.632118\pi\) |
0.994914 | + | 0.100732i | \(0.0321184\pi\) | |||||||
\(128\) | 26.4436 | − | 29.3686i | 2.33730 | − | 2.59584i | ||||
\(129\) | 3.97489 | − | 0.275714i | 0.349970 | − | 0.0242753i | ||||
\(130\) | −17.2363 | − | 4.02475i | −1.51172 | − | 0.352994i | ||||
\(131\) | −10.1167 | + | 2.15038i | −0.883904 | + | 0.187880i | −0.627431 | − | 0.778672i | \(-0.715894\pi\) |
−0.256473 | + | 0.966552i | \(0.582560\pi\) | |||||||
\(132\) | 36.1148 | − | 10.3339i | 3.14339 | − | 0.899447i | ||||
\(133\) | −15.4808 | − | 6.06823i | −1.34235 | − | 0.526182i | ||||
\(134\) | −10.8462 | − | 14.9285i | −0.936965 | − | 1.28962i | ||||
\(135\) | 9.93427 | + | 6.02580i | 0.855006 | + | 0.518619i | ||||
\(136\) | −8.87567 | − | 19.9351i | −0.761082 | − | 1.70942i | ||||
\(137\) | 0.341686 | + | 3.25092i | 0.0291922 | + | 0.277745i | 0.999374 | + | 0.0353681i | \(0.0112604\pi\) |
−0.970182 | + | 0.242377i | \(0.922073\pi\) | |||||||
\(138\) | 2.80829 | − | 19.9011i | 0.239058 | − | 1.69410i | ||||
\(139\) | −0.926377 | + | 1.27505i | −0.0785743 | + | 0.108148i | −0.846495 | − | 0.532397i | \(-0.821291\pi\) |
0.767921 | + | 0.640545i | \(0.221291\pi\) | |||||||
\(140\) | 0.822373 | + | 32.4390i | 0.0695032 | + | 2.74160i | ||||
\(141\) | 2.08758 | − | 2.66890i | 0.175806 | − | 0.224762i | ||||
\(142\) | −2.60612 | − | 12.2608i | −0.218701 | − | 1.02891i | ||||
\(143\) | 9.90748 | + | 5.72008i | 0.828505 | + | 0.478337i | ||||
\(144\) | −43.5739 | − | 12.5475i | −3.63116 | − | 1.04562i | ||||
\(145\) | −0.791624 | + | 1.68661i | −0.0657408 | + | 0.140066i | ||||
\(146\) | −0.0338848 | − | 0.104287i | −0.00280432 | − | 0.00863082i | ||||
\(147\) | 10.7876 | − | 5.53430i | 0.889743 | − | 0.456461i | ||||
\(148\) | −20.9150 | + | 28.7870i | −1.71920 | + | 2.36627i | ||||
\(149\) | −15.4210 | + | 8.90330i | −1.26334 | + | 0.729387i | −0.973718 | − | 0.227756i | \(-0.926861\pi\) |
−0.289617 | + | 0.957143i | \(0.593528\pi\) | |||||||
\(150\) | 0.695135 | + | 23.6831i | 0.0567575 | + | 1.93372i | ||||
\(151\) | −9.01422 | + | 15.6131i | −0.733567 | + | 1.27058i | 0.221782 | + | 0.975096i | \(0.428813\pi\) |
−0.955349 | + | 0.295479i | \(0.904521\pi\) | |||||||
\(152\) | 59.5919 | + | 6.26336i | 4.83354 | + | 0.508026i | ||||
\(153\) | −4.41940 | + | 5.25487i | −0.357288 | + | 0.424831i | ||||
\(154\) | 7.60261 | − | 27.5927i | 0.612636 | − | 2.22348i | ||||
\(155\) | −0.0933707 | + | 4.67846i | −0.00749972 | + | 0.375783i | ||||
\(156\) | −12.8907 | − | 24.2767i | −1.03208 | − | 1.94370i | ||||
\(157\) | 7.97736 | − | 13.8172i | 0.636663 | − | 1.10273i | −0.349498 | − | 0.936937i | \(-0.613648\pi\) |
0.986160 | − | 0.165795i | \(-0.0530189\pi\) | |||||||
\(158\) | −30.1033 | − | 33.4331i | −2.39489 | − | 2.65980i | ||||
\(159\) | 0.480743 | − | 3.40681i | 0.0381254 | − | 0.270178i | ||||
\(160\) | −14.4488 | − | 47.6863i | −1.14228 | − | 3.76994i | ||||
\(161\) | −8.67072 | − | 7.12334i | −0.683349 | − | 0.561398i | ||||
\(162\) | 4.22135 | + | 24.2582i | 0.331661 | + | 1.90591i | ||||
\(163\) | −7.19023 | + | 16.1495i | −0.563182 | + | 1.26493i | 0.377616 | + | 0.925962i | \(0.376744\pi\) |
−0.940799 | + | 0.338966i | \(0.889923\pi\) | |||||||
\(164\) | 31.3134 | − | 13.9416i | 2.44517 | − | 1.08866i | ||||
\(165\) | 4.00880 | − | 14.7799i | 0.312085 | − | 1.15061i | ||||
\(166\) | −5.88076 | + | 13.2084i | −0.456435 | + | 1.02517i | ||||
\(167\) | −2.42014 | − | 0.786350i | −0.187276 | − | 0.0608496i | 0.213878 | − | 0.976860i | \(-0.431391\pi\) |
−0.401153 | + | 0.916011i | \(0.631391\pi\) | |||||||
\(168\) | −32.1804 | + | 29.5535i | −2.48277 | + | 2.28010i | ||||
\(169\) | −1.43040 | + | 4.40230i | −0.110030 | + | 0.338639i | ||||
\(170\) | −13.8928 | − | 1.74112i | −1.06553 | − | 0.133538i | ||||
\(171\) | −6.42857 | − | 17.7241i | −0.491605 | − | 1.35540i | ||||
\(172\) | −2.62337 | + | 12.3420i | −0.200030 | + | 0.941067i | ||||
\(173\) | 6.22517 | + | 0.654291i | 0.473291 | + | 0.0497449i | 0.338171 | − | 0.941085i | \(-0.390192\pi\) |
0.135119 | + | 0.990829i | \(0.456858\pi\) | |||||||
\(174\) | −3.79603 | + | 1.08619i | −0.287777 | + | 0.0823441i | ||||
\(175\) | 11.4919 | + | 6.55252i | 0.868708 | + | 0.495324i | ||||
\(176\) | 59.7646i | 4.50492i | ||||||||
\(177\) | −7.38222 | + | 1.29742i | −0.554882 | + | 0.0975201i | ||||
\(178\) | −4.75844 | − | 1.01144i | −0.356660 | − | 0.0758105i | ||||
\(179\) | 0.209117 | − | 0.983817i | 0.0156301 | − | 0.0735340i | −0.969641 | − | 0.244532i | \(-0.921366\pi\) |
0.985271 | + | 0.170998i | \(0.0546991\pi\) | |||||||
\(180\) | −27.0003 | + | 24.9960i | −2.01248 | + | 1.86309i | ||||
\(181\) | −1.16916 | − | 0.379882i | −0.0869026 | − | 0.0282364i | 0.265243 | − | 0.964182i | \(-0.414548\pi\) |
−0.352146 | + | 0.935945i | \(0.614548\pi\) | |||||||
\(182\) | −20.9059 | − | 1.24367i | −1.54965 | − | 0.0921870i | ||||
\(183\) | −0.463210 | + | 13.0549i | −0.0342415 | + | 0.965046i | ||||
\(184\) | 36.9425 | + | 16.4479i | 2.72344 | + | 1.21255i | ||||
\(185\) | 5.63455 | + | 13.3671i | 0.414261 | + | 0.982765i | ||||
\(186\) | −7.60008 | + | 6.36997i | −0.557265 | + | 0.467069i | ||||
\(187\) | 8.26734 | + | 3.68086i | 0.604568 | + | 0.269171i | ||||
\(188\) | 6.30698 | + | 8.68081i | 0.459984 | + | 0.633113i | ||||
\(189\) | 12.7911 | + | 5.03873i | 0.930413 | + | 0.366513i | ||||
\(190\) | 23.2146 | − | 30.6470i | 1.68417 | − | 2.22337i | ||||
\(191\) | 4.58507 | − | 10.2982i | 0.331764 | − | 0.745154i | −0.668235 | − | 0.743950i | \(-0.732950\pi\) |
0.999999 | − | 0.00120423i | \(-0.000383317\pi\) | |||||||
\(192\) | 28.2351 | − | 45.1293i | 2.03769 | − | 3.25693i | ||||
\(193\) | 8.79342 | + | 5.07688i | 0.632964 | + | 0.365442i | 0.781899 | − | 0.623405i | \(-0.214251\pi\) |
−0.148935 | + | 0.988847i | \(0.547584\pi\) | |||||||
\(194\) | 4.71649 | − | 1.00252i | 0.338624 | − | 0.0719768i | ||||
\(195\) | −11.1885 | − | 0.620720i | −0.801223 | − | 0.0444507i | ||||
\(196\) | 7.45171 | + | 37.6646i | 0.532265 | + | 2.69033i | ||||
\(197\) | 6.28181 | + | 19.3334i | 0.447560 | + | 1.37745i | 0.879652 | + | 0.475619i | \(0.157776\pi\) |
−0.432091 | + | 0.901830i | \(0.642224\pi\) | |||||||
\(198\) | 29.1846 | − | 14.1938i | 2.07406 | − | 1.00871i | ||||
\(199\) | 16.3100 | + | 9.41660i | 1.15619 | + | 0.667525i | 0.950387 | − | 0.311069i | \(-0.100687\pi\) |
0.205800 | + | 0.978594i | \(0.434020\pi\) | |||||||
\(200\) | −46.1975 | − | 11.7642i | −3.26666 | − | 0.831851i | ||||
\(201\) | −8.39890 | − | 8.11982i | −0.592412 | − | 0.572728i | ||||
\(202\) | 36.5938 | + | 26.5869i | 2.57473 | + | 1.87065i | ||||
\(203\) | −0.585587 | + | 2.12531i | −0.0411001 | + | 0.149168i | ||||
\(204\) | −12.1487 | − | 18.0330i | −0.850580 | − | 1.26256i | ||||
\(205\) | 1.73766 | − | 13.8653i | 0.121363 | − | 0.968392i | ||||
\(206\) | 34.5017 | + | 38.3181i | 2.40385 | + | 2.66975i | ||||
\(207\) | −0.429814 | − | 12.7168i | −0.0298741 | − | 0.883878i | ||||
\(208\) | 42.7760 | − | 9.09233i | 2.96598 | − | 0.630439i | ||||
\(209\) | −20.1038 | + | 14.6063i | −1.39061 | + | 1.01034i | ||||
\(210\) | 5.55083 | + | 27.4792i | 0.383043 | + | 1.89625i | ||||
\(211\) | 12.4391 | + | 9.03757i | 0.856346 | + | 0.622172i | 0.926888 | − | 0.375337i | \(-0.122473\pi\) |
−0.0705423 | + | 0.997509i | \(0.522473\pi\) | |||||||
\(212\) | 9.95342 | + | 4.43155i | 0.683604 | + | 0.304360i | ||||
\(213\) | −2.96861 | − | 7.35945i | −0.203406 | − | 0.504261i | ||||
\(214\) | 20.6551 | − | 9.19623i | 1.41195 | − | 0.628641i | ||||
\(215\) | 3.75322 | + | 3.51753i | 0.255968 | + | 0.239894i | ||||
\(216\) | −49.2619 | − | 5.26136i | −3.35185 | − | 0.357990i | ||||
\(217\) | 0.827512 | + | 5.47455i | 0.0561752 | + | 0.371636i | ||||
\(218\) | −16.9547 | −1.14832 | ||||||||
\(219\) | −0.0325567 | − | 0.0613130i | −0.00219997 | − | 0.00414315i | ||||
\(220\) | 41.5058 | + | 25.0808i | 2.79832 | + | 1.69094i | ||||
\(221\) | 1.37679 | − | 6.47728i | 0.0926128 | − | 0.435709i | ||||
\(222\) | −13.4915 | + | 27.6224i | −0.905491 | + | 1.85390i | ||||
\(223\) | 9.78433 | + | 7.10873i | 0.655207 | + | 0.476036i | 0.865041 | − | 0.501701i | \(-0.167292\pi\) |
−0.209834 | + | 0.977737i | \(0.567292\pi\) | |||||||
\(224\) | −26.3942 | − | 52.7182i | −1.76353 | − | 3.52238i | ||||
\(225\) | 3.02877 | + | 14.6910i | 0.201918 | + | 0.979402i | ||||
\(226\) | −11.6123 | − | 20.1131i | −0.772437 | − | 1.33790i | ||||
\(227\) | −6.72676 | − | 15.1086i | −0.446471 | − | 1.00279i | −0.986890 | − | 0.161394i | \(-0.948401\pi\) |
0.540419 | − | 0.841396i | \(-0.318266\pi\) | |||||||
\(228\) | 59.5624 | − | 4.13148i | 3.94462 | − | 0.273614i | ||||
\(229\) | −5.48129 | − | 4.93537i | −0.362214 | − | 0.326139i | 0.467849 | − | 0.883808i | \(-0.345029\pi\) |
−0.830063 | + | 0.557670i | \(0.811696\pi\) | |||||||
\(230\) | 21.2915 | − | 14.8293i | 1.40392 | − | 0.977812i | ||||
\(231\) | 1.71672 | − | 18.0381i | 0.112952 | − | 1.18682i | ||||
\(232\) | − | 7.94430i | − | 0.521569i | ||||||
\(233\) | −10.3833 | + | 2.20704i | −0.680233 | + | 0.144588i | −0.535055 | − | 0.844818i | \(-0.679709\pi\) |
−0.145178 | + | 0.989405i | \(0.546376\pi\) | |||||||
\(234\) | −14.5991 | − | 18.7292i | −0.954374 | − | 1.22437i | ||||
\(235\) | 4.35865 | − | 0.370348i | 0.284327 | − | 0.0241588i | ||||
\(236\) | 2.48107 | − | 23.6058i | 0.161504 | − | 1.53661i | ||||
\(237\) | −22.4343 | − | 17.5478i | −1.45726 | − | 1.13985i | ||||
\(238\) | −16.5498 | + | 0.750234i | −1.07277 | + | 0.0486305i | ||||
\(239\) | 2.50471 | − | 3.44744i | 0.162016 | − | 0.222996i | −0.720289 | − | 0.693674i | \(-0.755991\pi\) |
0.882305 | + | 0.470678i | \(0.155991\pi\) | |||||||
\(240\) | −26.4166 | − | 52.2402i | −1.70518 | − | 3.37209i | ||||
\(241\) | −2.59236 | + | 0.272468i | −0.166989 | + | 0.0175512i | −0.187654 | − | 0.982235i | \(-0.560088\pi\) |
0.0206651 | + | 0.999786i | \(0.493422\pi\) | |||||||
\(242\) | −8.48389 | − | 9.42231i | −0.545365 | − | 0.605689i | ||||
\(243\) | 5.29051 | + | 14.6632i | 0.339386 | + | 0.940647i | ||||
\(244\) | −39.3429 | − | 12.7833i | −2.51867 | − | 0.818365i | ||||
\(245\) | 14.7130 | + | 5.34120i | 0.939977 | + | 0.341237i | ||||
\(246\) | 24.5596 | − | 16.5456i | 1.56586 | − | 1.05491i | ||||
\(247\) | 13.5128 | + | 12.1670i | 0.859801 | + | 0.774169i | ||||
\(248\) | −8.11540 | − | 18.2275i | −0.515329 | − | 1.15745i | ||||
\(249\) | −2.21940 | + | 8.88033i | −0.140649 | + | 0.562768i | ||||
\(250\) | −21.7906 | + | 21.4660i | −1.37816 | + | 1.35763i | ||||
\(251\) | −6.16536 | −0.389154 | −0.194577 | − | 0.980887i | \(-0.562333\pi\) | ||||
−0.194577 | + | 0.980887i | \(0.562333\pi\) | |||||||
\(252\) | −26.4838 | + | 34.5535i | −1.66832 | + | 2.17667i | ||||
\(253\) | −15.9496 | + | 5.18235i | −1.00274 | + | 0.325811i | ||||
\(254\) | 23.0637 | + | 20.7666i | 1.44714 | + | 1.30301i | ||||
\(255\) | −8.85347 | + | 0.436812i | −0.554426 | + | 0.0273542i | ||||
\(256\) | 31.2149 | + | 34.6677i | 1.95093 | + | 2.16673i | ||||
\(257\) | −15.3114 | + | 8.84004i | −0.955099 | + | 0.551427i | −0.894661 | − | 0.446745i | \(-0.852583\pi\) |
−0.0604377 | + | 0.998172i | \(0.519250\pi\) | |||||||
\(258\) | −0.386540 | + | 10.8941i | −0.0240649 | + | 0.678234i | ||||
\(259\) | 9.24624 | + | 14.4604i | 0.574533 | + | 0.898527i | ||||
\(260\) | 11.6368 | − | 33.5232i | 0.721686 | − | 2.07902i | ||||
\(261\) | −2.24793 | + | 1.09327i | −0.139143 | + | 0.0676717i | ||||
\(262\) | −2.95778 | − | 28.1414i | −0.182732 | − | 1.73858i | ||||
\(263\) | 2.28872 | + | 21.7757i | 0.141129 | + | 1.34275i | 0.804274 | + | 0.594259i | \(0.202555\pi\) |
−0.663145 | + | 0.748491i | \(0.730779\pi\) | |||||||
\(264\) | 11.3027 | + | 64.3113i | 0.695631 | + | 3.95808i | ||||
\(265\) | 3.64483 | − | 2.53857i | 0.223900 | − | 0.155943i | ||||
\(266\) | 20.9380 | − | 40.3859i | 1.28379 | − | 2.47622i | ||||
\(267\) | −3.07789 | − | 0.109209i | −0.188364 | − | 0.00668347i | ||||
\(268\) | 32.0381 | − | 18.4972i | 1.95704 | − | 1.12990i | ||||
\(269\) | 16.8919 | + | 18.7603i | 1.02992 | + | 1.14384i | 0.989482 | + | 0.144655i | \(0.0462071\pi\) |
0.0404331 | + | 0.999182i | \(0.487126\pi\) | |||||||
\(270\) | −19.2364 | + | 25.3067i | −1.17069 | + | 1.54012i | ||||
\(271\) | 15.1465 | + | 13.6379i | 0.920083 | + | 0.828446i | 0.985546 | − | 0.169409i | \(-0.0541858\pi\) |
−0.0654632 | + | 0.997855i | \(0.520852\pi\) | |||||||
\(272\) | 32.9007 | − | 10.6901i | 1.99490 | − | 0.648183i | ||||
\(273\) | −13.1718 | + | 1.51552i | −0.797196 | + | 0.0917233i | ||||
\(274\) | −8.94307 | −0.540271 | ||||||||
\(275\) | 17.5022 | − | 9.19407i | 1.05542 | − | 0.554423i | ||||
\(276\) | 39.0914 | + | 9.76985i | 2.35303 | + | 0.588076i | ||||
\(277\) | −10.4803 | − | 23.5391i | −0.629699 | − | 1.41433i | −0.893197 | − | 0.449666i | \(-0.851543\pi\) |
0.263498 | − | 0.964660i | \(-0.415124\pi\) | |||||||
\(278\) | −3.20433 | − | 2.88519i | −0.192183 | − | 0.173042i | ||||
\(279\) | −4.04085 | + | 4.80475i | −0.241919 | + | 0.287653i | ||||
\(280\) | −56.2285 | − | 4.47247i | −3.36030 | − | 0.267281i | ||||
\(281\) | −30.4864 | − | 9.90562i | −1.81866 | − | 0.590920i | −0.999858 | − | 0.0168486i | \(-0.994637\pi\) |
−0.818806 | − | 0.574071i | \(-0.805363\pi\) | |||||||
\(282\) | 6.66475 | + | 6.44329i | 0.396880 | + | 0.383692i | ||||
\(283\) | −11.4741 | − | 12.7433i | −0.682064 | − | 0.757509i | 0.298350 | − | 0.954457i | \(-0.403564\pi\) |
−0.980414 | + | 0.196948i | \(0.936897\pi\) | |||||||
\(284\) | 24.9924 | − | 2.62681i | 1.48303 | − | 0.155872i | ||||
\(285\) | 11.1166 | − | 21.6535i | 0.658492 | − | 1.28264i | ||||
\(286\) | −18.3969 | + | 25.3212i | −1.08783 | + | 1.49728i | ||||
\(287\) | −0.748745 | − | 16.5170i | −0.0441970 | − | 0.974966i | ||||
\(288\) | 25.1120 | − | 61.9544i | 1.47974 | − | 3.65070i | ||||
\(289\) | −1.22943 | + | 11.6973i | −0.0723195 | + | 0.688074i | ||||
\(290\) | −4.36269 | − | 2.63624i | −0.256186 | − | 0.154806i | ||||
\(291\) | 2.83103 | − | 1.14197i | 0.165958 | − | 0.0669432i | ||||
\(292\) | 0.215033 | − | 0.0457067i | 0.0125839 | − | 0.00267478i | ||||
\(293\) | − | 9.30684i | − | 0.543711i | −0.962338 | − | 0.271856i | \(-0.912363\pi\) | ||
0.962338 | − | 0.271856i | \(-0.0876373\pi\) | |||||||
\(294\) | 11.9732 | + | 30.9343i | 0.698289 | + | 1.80413i | ||||
\(295\) | −7.71338 | − | 5.84276i | −0.449090 | − | 0.340179i | ||||
\(296\) | −45.9653 | − | 41.3874i | −2.67168 | − | 2.40559i | ||||
\(297\) | 16.6421 | − | 12.0485i | 0.965674 | − | 0.699127i | ||||
\(298\) | −19.8148 | − | 44.5047i | −1.14784 | − | 2.57809i | ||||
\(299\) | 6.13573 | + | 10.6274i | 0.354839 | + | 0.614599i | ||||
\(300\) | −47.3662 | − | 3.57709i | −2.73469 | − | 0.206523i | ||||
\(301\) | 5.08091 | + | 3.35081i | 0.292859 | + | 0.193137i | ||||
\(302\) | −39.9035 | − | 28.9916i | −2.29619 | − | 1.66828i | ||||
\(303\) | 25.7310 | + | 12.5677i | 1.47821 | + | 0.721996i | ||||
\(304\) | −19.7498 | + | 92.9157i | −1.13273 | + | 5.32908i | ||||
\(305\) | −12.7554 | + | 11.0322i | −0.730371 | + | 0.631701i | ||||
\(306\) | −13.0340 | − | 13.5274i | −0.745105 | − | 0.773311i | ||||
\(307\) | 8.00782 | 0.457030 | 0.228515 | − | 0.973540i | \(-0.426613\pi\) | ||||
0.228515 | + | 0.973540i | \(0.426613\pi\) | |||||||
\(308\) | 53.4226 | + | 20.9409i | 3.04403 | + | 1.19322i | ||||
\(309\) | 25.7121 | + | 20.1117i | 1.46271 | + | 1.14412i | ||||
\(310\) | −12.7028 | − | 1.59198i | −0.721472 | − | 0.0904182i | ||||
\(311\) | 11.7035 | − | 5.21074i | 0.663645 | − | 0.295474i | −0.0471345 | − | 0.998889i | \(-0.515009\pi\) |
0.710780 | + | 0.703415i | \(0.248342\pi\) | |||||||
\(312\) | 44.3108 | − | 17.8738i | 2.50860 | − | 1.01191i | ||||
\(313\) | 7.85371 | + | 3.49670i | 0.443918 | + | 0.197645i | 0.616508 | − | 0.787349i | \(-0.288547\pi\) |
−0.172590 | + | 0.984994i | \(0.555214\pi\) | |||||||
\(314\) | 35.3136 | + | 25.6568i | 1.99286 | + | 1.44790i | ||||
\(315\) | 6.47246 | + | 16.5260i | 0.364682 | + | 0.931132i | ||||
\(316\) | 72.9693 | − | 53.0153i | 4.10484 | − | 2.98234i | ||||
\(317\) | 2.32748 | − | 0.494722i | 0.130725 | − | 0.0277864i | −0.142085 | − | 0.989855i | \(-0.545381\pi\) |
0.272809 | + | 0.962068i | \(0.412047\pi\) | |||||||
\(318\) | 9.13204 | + | 2.28231i | 0.512099 | + | 0.127985i | ||||
\(319\) | 2.20452 | + | 2.44837i | 0.123429 | + | 0.137082i | ||||
\(320\) | 67.4949 | − | 12.9445i | 3.77308 | − | 0.723622i | ||||
\(321\) | 11.8714 | − | 7.99766i | 0.662595 | − | 0.446386i | ||||
\(322\) | 21.8614 | − | 21.5549i | 1.21829 | − | 1.20121i | ||||
\(323\) | 11.6368 | + | 8.45464i | 0.647490 | + | 0.470429i | ||||
\(324\) | −49.2520 | + | 3.33314i | −2.73622 | + | 0.185174i | ||||
\(325\) | −9.24330 | − | 11.1283i | −0.512726 | − | 0.617289i | ||||
\(326\) | −41.8846 | − | 24.1821i | −2.31978 | − | 1.33932i | ||||
\(327\) | −10.5718 | + | 1.85799i | −0.584624 | + | 0.102747i | ||||
\(328\) | 18.4120 | + | 56.6664i | 1.01663 | + | 3.12888i | ||||
\(329\) | 5.00878 | − | 1.30427i | 0.276143 | − | 0.0719069i | ||||
\(330\) | 39.0678 | + | 15.1341i | 2.15061 | + | 0.833107i | ||||
\(331\) | 27.4147 | − | 5.82717i | 1.50685 | − | 0.320290i | 0.620831 | − | 0.783945i | \(-0.286795\pi\) |
0.886016 | + | 0.463654i | \(0.153462\pi\) | |||||||
\(332\) | −25.1032 | − | 14.4933i | −1.37772 | − | 0.795425i | ||||
\(333\) | −5.38540 | + | 18.7020i | −0.295118 | + | 1.02486i | ||||
\(334\) | 2.83166 | − | 6.36002i | 0.154942 | − | 0.348005i | ||||
\(335\) | 0.300932 | − | 15.0786i | 0.0164417 | − | 0.823832i | ||||
\(336\) | −41.2620 | − | 55.6334i | −2.25103 | − | 3.03505i | ||||
\(337\) | 18.5622 | + | 25.5487i | 1.01115 | + | 1.39173i | 0.918227 | + | 0.396055i | \(0.129621\pi\) |
0.0929231 | + | 0.995673i | \(0.470379\pi\) | |||||||
\(338\) | −11.5691 | − | 5.15088i | −0.629275 | − | 0.280171i | ||||
\(339\) | −9.44476 | − | 11.2686i | −0.512969 | − | 0.612029i | ||||
\(340\) | 6.38295 | − | 27.3354i | 0.346164 | − | 1.48247i | ||||
\(341\) | 7.55918 | + | 3.36556i | 0.409353 | + | 0.182256i | ||||
\(342\) | 50.0636 | − | 12.4227i | 2.70713 | − | 0.671742i | ||||
\(343\) | 18.2268 | + | 3.28391i | 0.984154 | + | 0.177314i | ||||
\(344\) | −20.8596 | − | 6.77769i | −1.12467 | − | 0.365429i | ||||
\(345\) | 11.6509 | − | 11.5798i | 0.627265 | − | 0.623435i | ||||
\(346\) | −3.56049 | + | 16.7508i | −0.191413 | + | 0.900529i | ||||
\(347\) | 12.5518 | + | 2.66796i | 0.673813 | + | 0.143223i | 0.532096 | − | 0.846684i | \(-0.321404\pi\) |
0.141717 | + | 0.989907i | \(0.454738\pi\) | |||||||
\(348\) | −1.37020 | − | 7.79635i | −0.0734507 | − | 0.417928i | ||||
\(349\) | 21.9548i | 1.17521i | 0.809147 | + | 0.587606i | \(0.199930\pi\) | ||||
−0.809147 | + | 0.587606i | \(0.800070\pi\) | |||||||
\(350\) | −21.1150 | + | 29.3943i | −1.12865 | + | 1.57119i | ||||
\(351\) | −11.1555 | − | 10.0785i | −0.595437 | − | 0.537949i | ||||
\(352\) | −87.6267 | − | 9.20993i | −4.67052 | − | 0.490891i | ||||
\(353\) | −4.29862 | + | 20.2234i | −0.228792 | + | 1.07638i | 0.702380 | + | 0.711802i | \(0.252121\pi\) |
−0.931172 | + | 0.364580i | \(0.881212\pi\) | |||||||
\(354\) | −1.41899 | − | 20.4571i | −0.0754183 | − | 1.08728i | ||||
\(355\) | 4.35287 | − | 9.27412i | 0.231026 | − | 0.492219i | ||||
\(356\) | 3.01385 | − | 9.27567i | 0.159734 | − | 0.491610i | ||||
\(357\) | −10.2372 | + | 2.28142i | −0.541809 | + | 0.120746i | ||||
\(358\) | 2.61704 | + | 0.850329i | 0.138315 | + | 0.0449413i | ||||
\(359\) | 0.390829 | − | 0.877817i | 0.0206272 | − | 0.0463294i | −0.902938 | − | 0.429771i | \(-0.858594\pi\) |
0.923565 | + | 0.383441i | \(0.125261\pi\) | |||||||
\(360\) | −38.3059 | − | 51.2186i | −2.01890 | − | 2.69946i | ||||
\(361\) | −18.7247 | + | 8.33679i | −0.985512 | + | 0.438778i | ||||
\(362\) | 1.36796 | − | 3.07249i | 0.0718984 | − | 0.161487i | ||||
\(363\) | −6.32254 | − | 4.94542i | −0.331847 | − | 0.259567i | ||||
\(364\) | 6.86079 | − | 41.4227i | 0.359603 | − | 2.17114i | ||||
\(365\) | 0.0293898 | − | 0.0846656i | 0.00153833 | − | 0.00443160i | ||||
\(366\) | −35.3883 | − | 4.99373i | −1.84978 | − | 0.261026i | ||||
\(367\) | −16.5519 | − | 18.3828i | −0.864002 | − | 0.959572i | 0.135511 | − | 0.990776i | \(-0.456732\pi\) |
−0.999513 | + | 0.0312041i | \(0.990066\pi\) | |||||||
\(368\) | −32.0537 | + | 55.5186i | −1.67091 | + | 2.89411i | ||||
\(369\) | 13.5006 | − | 13.0081i | 0.702811 | − | 0.677177i | ||||
\(370\) | −37.9815 | + | 11.5083i | −1.97456 | + | 0.598287i | ||||
\(371\) | 3.74237 | − | 3.68991i | 0.194294 | − | 0.191570i | ||||
\(372\) | −11.1081 | − | 16.4883i | −0.575927 | − | 0.854880i | ||||
\(373\) | −31.9023 | − | 3.35307i | −1.65184 | − | 0.173615i | −0.767690 | − | 0.640821i | \(-0.778594\pi\) |
−0.884148 | + | 0.467206i | \(0.845261\pi\) | |||||||
\(374\) | −12.3794 | + | 21.4418i | −0.640125 | + | 1.10873i | ||||
\(375\) | −11.2348 | + | 15.7727i | −0.580164 | + | 0.814499i | ||||
\(376\) | −16.1530 | + | 9.32591i | −0.833025 | + | 0.480947i | ||||
\(377\) | 1.41702 | − | 1.95035i | 0.0729800 | − | 0.100448i | ||||
\(378\) | −17.3677 | + | 33.3620i | −0.893298 | + | 1.71595i | ||||
\(379\) | 0.0700225 | + | 0.215507i | 0.00359682 | + | 0.0110699i | 0.952839 | − | 0.303477i | \(-0.0981475\pi\) |
−0.949242 | + | 0.314547i | \(0.898147\pi\) | |||||||
\(380\) | 56.2407 | + | 52.7090i | 2.88509 | + | 2.70391i | ||||
\(381\) | 16.6567 | + | 10.4213i | 0.853349 | + | 0.533897i | ||||
\(382\) | 26.7090 | + | 15.4205i | 1.36655 | + | 0.788980i | ||||
\(383\) | −3.60577 | − | 16.9638i | −0.184246 | − | 0.866810i | −0.969011 | − | 0.247016i | \(-0.920550\pi\) |
0.784765 | − | 0.619793i | \(-0.212784\pi\) | |||||||
\(384\) | 53.9153 | + | 42.1719i | 2.75135 | + | 2.15208i | ||||
\(385\) | 18.5703 | − | 14.2249i | 0.946429 | − | 0.724967i | ||||
\(386\) | −16.3283 | + | 22.4740i | −0.831088 | + | 1.14389i | ||||
\(387\) | 0.952812 | + | 6.83517i | 0.0484341 | + | 0.347451i | ||||
\(388\) | 1.01048 | + | 9.61407i | 0.0512993 | + | 0.488080i | ||||
\(389\) | −8.26705 | − | 18.5681i | −0.419156 | − | 0.941440i | −0.992514 | − | 0.122135i | \(-0.961026\pi\) |
0.573357 | − | 0.819305i | \(-0.305641\pi\) | |||||||
\(390\) | 4.88854 | − | 30.2649i | 0.247541 | − | 1.53253i | ||||
\(391\) | 5.70583 | + | 7.85340i | 0.288556 | + | 0.397163i | ||||
\(392\) | −66.4669 | + | 6.03854i | −3.35708 | + | 0.304992i | ||||
\(393\) | −4.92817 | − | 17.2230i | −0.248593 | − | 0.868784i | ||||
\(394\) | −54.4003 | + | 11.5631i | −2.74065 | + | 0.582542i | ||||
\(395\) | −3.11308 | − | 36.6380i | −0.156636 | − | 1.84346i | ||||
\(396\) | 22.1844 | + | 61.1642i | 1.11481 | + | 3.07362i | ||||
\(397\) | −1.29891 | + | 1.44259i | −0.0651906 | + | 0.0724015i | −0.774858 | − | 0.632135i | \(-0.782179\pi\) |
0.709667 | + | 0.704537i | \(0.248845\pi\) | |||||||
\(398\) | −30.2857 | + | 41.6847i | −1.51808 | + | 2.08946i | ||||
\(399\) | 8.62987 | − | 27.4765i | 0.432034 | − | 1.37555i | ||||
\(400\) | 26.2029 | − | 70.8863i | 1.31014 | − | 3.54432i | ||||
\(401\) | 7.92449 | − | 4.57521i | 0.395730 | − | 0.228475i | −0.288910 | − | 0.957356i | \(-0.593293\pi\) |
0.684640 | + | 0.728881i | \(0.259959\pi\) | |||||||
\(402\) | 24.4949 | − | 20.5303i | 1.22170 | − | 1.02396i | ||||
\(403\) | 1.25886 | − | 5.92245i | 0.0627081 | − | 0.295018i | ||||
\(404\) | −60.6791 | + | 67.3910i | −3.01890 | + | 3.35283i | ||||
\(405\) | −9.22132 | + | 17.8876i | −0.458211 | + | 0.888843i | ||||
\(406\) | −5.61526 | − | 2.20110i | −0.278680 | − | 0.109239i | ||||
\(407\) | 25.6510 | 1.27147 | ||||||||
\(408\) | 33.3820 | − | 17.7256i | 1.65266 | − | 0.877546i | ||||
\(409\) | 4.52335 | − | 0.475423i | 0.223665 | − | 0.0235082i | 0.00796713 | − | 0.999968i | \(-0.497464\pi\) |
0.215698 | + | 0.976460i | \(0.430797\pi\) | |||||||
\(410\) | 37.2288 | + | 8.69309i | 1.83860 | + | 0.429321i | ||||
\(411\) | −5.57631 | + | 0.980033i | −0.275059 | + | 0.0483415i | ||||
\(412\) | −83.6308 | + | 60.7613i | −4.12019 | + | 2.99350i | ||||
\(413\) | −10.1645 | − | 5.26978i | −0.500163 | − | 0.259309i | ||||
\(414\) | 34.7237 | + | 2.46722i | 1.70658 | + | 0.121257i | ||||
\(415\) | −10.3498 | + | 5.70316i | −0.508049 | + | 0.279957i | ||||
\(416\) | 6.73921 | + | 64.1193i | 0.330417 | + | 3.14371i | ||||
\(417\) | −2.31419 | − | 1.44787i | −0.113326 | − | 0.0709024i | ||||
\(418\) | −33.9927 | − | 58.8771i | −1.66264 | − | 2.87977i | ||||
\(419\) | 1.29891 | − | 3.99764i | 0.0634561 | − | 0.195298i | −0.914302 | − | 0.405033i | \(-0.867260\pi\) |
0.977758 | + | 0.209735i | \(0.0672601\pi\) | |||||||
\(420\) | −55.9528 | + | 5.30891i | −2.73022 | + | 0.259049i | ||||
\(421\) | 5.02588 | + | 15.4681i | 0.244947 | + | 0.753868i | 0.995645 | + | 0.0932232i | \(0.0297170\pi\) |
−0.750699 | + | 0.660645i | \(0.770283\pi\) | |||||||
\(422\) | −28.1474 | + | 31.2609i | −1.37019 | + | 1.52176i | ||||
\(423\) | 4.86179 | + | 3.28725i | 0.236388 | + | 0.159832i | ||||
\(424\) | −9.46959 | + | 16.4018i | −0.459884 | + | 0.796542i | ||||
\(425\) | −8.19202 | − | 7.99053i | −0.397371 | − | 0.387598i | ||||
\(426\) | 20.8731 | − | 5.97261i | 1.01131 | − | 0.289374i | ||||
\(427\) | −12.6668 | + | 15.4183i | −0.612988 | + | 0.746145i | ||||
\(428\) | 14.0074 | + | 43.1103i | 0.677073 | + | 2.08382i | ||||
\(429\) | −8.69628 | + | 17.8047i | −0.419860 | + | 0.859619i | ||||
\(430\) | −10.6441 | + | 9.20613i | −0.513304 | + | 0.443959i | ||||
\(431\) | 18.2611 | − | 16.4423i | 0.879605 | − | 0.792000i | −0.0995675 | − | 0.995031i | \(-0.531746\pi\) |
0.979172 | + | 0.203031i | \(0.0650793\pi\) | |||||||
\(432\) | 16.4583 | − | 76.7952i | 0.791849 | − | 3.69481i | ||||
\(433\) | 10.8160 | − | 33.2882i | 0.519783 | − | 1.59973i | −0.254623 | − | 0.967040i | \(-0.581952\pi\) |
0.774407 | − | 0.632688i | \(-0.218048\pi\) | |||||||
\(434\) | −15.1322 | + | 0.685971i | −0.726370 | + | 0.0329277i | ||||
\(435\) | −3.00918 | − | 1.16570i | −0.144279 | − | 0.0558910i | ||||
\(436\) | 3.55306 | − | 33.8052i | 0.170161 | − | 1.61897i | ||||
\(437\) | −26.5094 | + | 2.78625i | −1.26811 | + | 0.133284i | ||||
\(438\) | 0.176136 | − | 0.0710486i | 0.00841608 | − | 0.00339484i | ||||
\(439\) | −27.4261 | − | 2.88260i | −1.30898 | − | 0.137579i | −0.575785 | − | 0.817601i | \(-0.695303\pi\) |
−0.733192 | + | 0.680022i | \(0.761970\pi\) | |||||||
\(440\) | −50.9000 | + | 67.1962i | −2.42656 | + | 3.20345i | ||||
\(441\) | 10.8556 | + | 17.9765i | 0.516935 | + | 0.856025i | ||||
\(442\) | 17.2302 | + | 5.59842i | 0.819555 | + | 0.266289i | ||||
\(443\) | −16.5708 | − | 28.7014i | −0.787300 | − | 1.36364i | −0.927615 | − | 0.373537i | \(-0.878145\pi\) |
0.140315 | − | 0.990107i | \(-0.455189\pi\) | |||||||
\(444\) | −52.2477 | − | 32.6887i | −2.47957 | − | 1.55134i | ||||
\(445\) | −2.60100 | − | 3.00727i | −0.123299 | − | 0.142558i | ||||
\(446\) | −22.1401 | + | 24.5890i | −1.04836 | + | 1.16432i | ||||
\(447\) | −17.2323 | − | 25.5788i | −0.815058 | − | 1.20984i | ||||
\(448\) | 76.1193 | − | 28.6046i | 3.59630 | − | 1.35144i | ||||
\(449\) | 0.00309619i | 0.000146118i | 1.00000 | 7.30592e-5i | \(2.32555e-5\pi\) | |||||
−1.00000 | 7.30592e-5i | \(0.999977\pi\) | ||||||||
\(450\) | −40.8387 | + | 4.03963i | −1.92515 | + | 0.190430i | ||||
\(451\) | −21.3992 | − | 12.3548i | −1.00765 | − | 0.581767i | ||||
\(452\) | 42.5360 | − | 18.9382i | 2.00072 | − | 0.890780i | ||||
\(453\) | −28.0582 | − | 13.7044i | −1.31829 | − | 0.643888i | ||||
\(454\) | 43.0322 | − | 13.9820i | 2.01960 | − | 0.656209i | ||||
\(455\) | −13.0066 | − | 11.1274i | −0.609757 | − | 0.521662i | ||||
\(456\) | −3.68015 | + | 103.719i | −0.172339 | + | 4.85711i | ||||
\(457\) | 0.146574 | − | 0.0846247i | 0.00685646 | − | 0.00395858i | −0.496568 | − | 0.867998i | \(-0.665407\pi\) |
0.503424 | + | 0.864039i | \(0.332073\pi\) | |||||||
\(458\) | 14.9961 | − | 13.5025i | 0.700720 | − | 0.630931i | ||||
\(459\) | −9.60957 | − | 7.00647i | −0.448536 | − | 0.327034i | ||||
\(460\) | 25.1054 | + | 45.5598i | 1.17055 | + | 2.12424i | ||||
\(461\) | 0.412835 | + | 0.299942i | 0.0192276 | + | 0.0139697i | 0.597358 | − | 0.801975i | \(-0.296217\pi\) |
−0.578130 | + | 0.815945i | \(0.696217\pi\) | |||||||
\(462\) | 48.5886 | + | 9.82945i | 2.26055 | + | 0.457307i | ||||
\(463\) | 14.5094 | + | 19.9704i | 0.674307 | + | 0.928104i | 0.999848 | − | 0.0174240i | \(-0.00554651\pi\) |
−0.325541 | + | 0.945528i | \(0.605547\pi\) | |||||||
\(464\) | 12.5251 | + | 1.31644i | 0.581463 | + | 0.0611143i | ||||
\(465\) | −8.09510 | + | 0.399396i | −0.375401 | + | 0.0185215i | ||||
\(466\) | −3.03571 | − | 28.8829i | −0.140627 | − | 1.33797i | ||||
\(467\) | 6.91863 | + | 32.5496i | 0.320156 | + | 1.50622i | 0.784259 | + | 0.620434i | \(0.213044\pi\) |
−0.464102 | + | 0.885782i | \(0.653623\pi\) | |||||||
\(468\) | 40.4028 | − | 25.1835i | 1.86762 | − | 1.16411i | ||||
\(469\) | −2.66706 | − | 17.6444i | −0.123153 | − | 0.814741i | ||||
\(470\) | −0.238798 | + | 11.9653i | −0.0110149 | + | 0.551917i | ||||
\(471\) | 24.8308 | + | 12.1280i | 1.14414 | + | 0.558830i | ||||
\(472\) | 40.3579 | + | 8.57834i | 1.85762 | + | 0.394850i | ||||
\(473\) | 8.30955 | − | 3.69965i | 0.382073 | − | 0.170110i | ||||
\(474\) | 54.1611 | − | 56.0226i | 2.48770 | − | 2.57320i | ||||
\(475\) | 30.2489 | − | 8.51018i | 1.38791 | − | 0.390474i | ||||
\(476\) | 1.97236 | − | 33.1551i | 0.0904032 | − | 1.51966i | ||||
\(477\) | 5.94424 | + | 0.422356i | 0.272168 | + | 0.0193383i | ||||
\(478\) | 8.66378 | + | 7.80090i | 0.396272 | + | 0.356805i | ||||
\(479\) | 2.14996 | + | 0.456987i | 0.0982340 | + | 0.0208803i | 0.256766 | − | 0.966473i | \(-0.417343\pi\) |
−0.158532 | + | 0.987354i | \(0.550676\pi\) | |||||||
\(480\) | 80.6654 | − | 30.6815i | 3.68186 | − | 1.40041i | ||||
\(481\) | −3.90244 | − | 18.3595i | −0.177936 | − | 0.837123i | ||||
\(482\) | − | 7.13142i | − | 0.324827i | ||||||
\(483\) | 11.2692 | − | 15.8359i | 0.512766 | − | 0.720558i | ||||
\(484\) | 20.5646 | − | 14.9411i | 0.934754 | − | 0.679139i | ||||
\(485\) | 3.56757 | + | 1.67446i | 0.161995 | + | 0.0760334i | ||||
\(486\) | −41.4098 | + | 10.2015i | −1.87839 | + | 0.462750i | ||||
\(487\) | −22.1229 | + | 2.32521i | −1.00248 | + | 0.105365i | −0.591523 | − | 0.806288i | \(-0.701473\pi\) |
−0.410960 | + | 0.911653i | \(0.634806\pi\) | |||||||
\(488\) | 29.2477 | − | 65.6914i | 1.32398 | − | 2.97371i | ||||
\(489\) | −28.7665 | − | 10.4884i | −1.30087 | − | 0.474302i | ||||
\(490\) | −18.7403 | + | 38.5047i | −0.846601 | + | 1.73947i | ||||
\(491\) | 8.12729 | + | 11.1863i | 0.366779 | + | 0.504829i | 0.952022 | − | 0.306030i | \(-0.0990007\pi\) |
−0.585243 | + | 0.810858i | \(0.699001\pi\) | |||||||
\(492\) | 27.8428 | + | 52.4355i | 1.25525 | + | 2.36397i | ||||
\(493\) | 0.953518 | − | 1.65154i | 0.0429443 | − | 0.0743817i | ||||
\(494\) | −36.9693 | + | 33.2873i | −1.66333 | + | 1.49767i | ||||
\(495\) | 26.0186 | + | 5.15538i | 1.16945 | + | 0.231717i | ||||
\(496\) | 30.0826 | − | 9.77441i | 1.35075 | − | 0.438884i | ||||
\(497\) | 3.21994 | − | 11.6864i | 0.144434 | − | 0.524206i | ||||
\(498\) | −23.5276 | − | 8.57828i | −1.05430 | − | 0.384402i | ||||
\(499\) | −6.33280 | − | 10.9687i | −0.283495 | − | 0.491028i | 0.688748 | − | 0.725001i | \(-0.258161\pi\) |
−0.972243 | + | 0.233973i | \(0.924827\pi\) | |||||||
\(500\) | −38.2335 | − | 47.9457i | −1.70985 | − | 2.14420i | ||||
\(501\) | 1.06867 | − | 4.27600i | 0.0477447 | − | 0.191037i | ||||
\(502\) | 1.76314 | − | 16.7752i | 0.0786930 | − | 0.748714i | ||||
\(503\) | 12.6332 | − | 4.10478i | 0.563287 | − | 0.183023i | −0.0135127 | − | 0.999909i | \(-0.504301\pi\) |
0.576800 | + | 0.816886i | \(0.304301\pi\) | |||||||
\(504\) | −54.9225 | − | 52.0624i | −2.44644 | − | 2.31904i | ||||
\(505\) | 10.7203 | + | 35.3808i | 0.477046 | + | 1.57442i | ||||
\(506\) | −9.53933 | − | 44.8790i | −0.424075 | − | 1.99512i | ||||
\(507\) | −7.77818 | − | 1.94395i | −0.345441 | − | 0.0863337i | ||||
\(508\) | −46.2389 | + | 41.6337i | −2.05152 | + | 1.84719i | ||||
\(509\) | 22.2225 | + | 9.89408i | 0.984993 | + | 0.438547i | 0.835066 | − | 0.550150i | \(-0.185429\pi\) |
0.149927 | + | 0.988697i | \(0.452096\pi\) | |||||||
\(510\) | 1.34336 | − | 24.2141i | 0.0594852 | − | 1.07222i | ||||
\(511\) | 0.0173275 | − | 0.104616i | 0.000766523 | − | 0.00462796i | ||||
\(512\) | −39.3097 | + | 28.5601i | −1.73726 | + | 1.26219i | ||||
\(513\) | 29.8550 | − | 13.2322i | 1.31813 | − | 0.584217i | ||||
\(514\) | −19.6740 | − | 44.1885i | −0.867782 | − | 1.94907i | ||||
\(515\) | 3.56793 | + | 41.9912i | 0.157222 | + | 1.85035i | ||||
\(516\) | −21.6401 | − | 3.05369i | −0.952653 | − | 0.134431i | ||||
\(517\) | 2.39030 | − | 7.35657i | 0.105125 | − | 0.323542i | ||||
\(518\) | −41.9892 | + | 21.0226i | −1.84490 | + | 0.923678i | ||||
\(519\) | −0.384440 | + | 10.8349i | −0.0168750 | + | 0.475598i | ||||
\(520\) | 55.8389 | + | 26.2084i | 2.44870 | + | 1.14931i | ||||
\(521\) | 16.7199 | + | 3.55392i | 0.732511 | + | 0.155700i | 0.559042 | − | 0.829139i | \(-0.311169\pi\) |
0.173469 | + | 0.984839i | \(0.444502\pi\) | |||||||
\(522\) | −2.33180 | − | 6.42898i | −0.102060 | − | 0.281389i | ||||
\(523\) | −3.04190 | + | 28.9418i | −0.133013 | + | 1.26553i | 0.700748 | + | 0.713409i | \(0.252850\pi\) |
−0.833761 | + | 0.552126i | \(0.813817\pi\) | |||||||
\(524\) | 56.7296 | 2.47824 | ||||||||
\(525\) | −9.94474 | + | 20.6422i | −0.434024 | + | 0.900901i | ||||
\(526\) | −59.9036 | −2.61192 | ||||||||
\(527\) | 0.500651 | − | 4.76337i | 0.0218087 | − | 0.207496i | ||||
\(528\) | −103.267 | + | 7.16300i | −4.49412 | + | 0.311730i | ||||
\(529\) | 4.90144 | + | 1.04183i | 0.213106 | + | 0.0452971i | ||||
\(530\) | 5.86481 | + | 10.6431i | 0.254751 | + | 0.462307i | ||||
\(531\) | −3.12660 | − | 12.6002i | −0.135683 | − | 0.546803i | ||||
\(532\) | 76.1357 | + | 50.2107i | 3.30090 | + | 2.17691i | ||||
\(533\) | −5.58730 | + | 17.1959i | −0.242013 | + | 0.744839i | ||||
\(534\) | 1.17735 | − | 8.34334i | 0.0509488 | − | 0.361051i | ||||
\(535\) | 17.9953 | + | 4.20198i | 0.778004 | + | 0.181667i | ||||
\(536\) | 26.1558 | + | 58.7469i | 1.12976 | + | 2.53748i | ||||
\(537\) | 1.72500 | + | 0.243419i | 0.0744393 | + | 0.0105043i | ||||
\(538\) | −55.8752 | + | 40.5957i | −2.40895 | + | 1.75021i | ||||
\(539\) | 18.8089 | − | 20.3054i | 0.810156 | − | 0.874616i | ||||
\(540\) | −46.4266 | − | 43.6579i | −1.99788 | − | 1.87874i | ||||
\(541\) | −8.22799 | − | 3.66334i | −0.353749 | − | 0.157499i | 0.222166 | − | 0.975009i | \(-0.428687\pi\) |
−0.575915 | + | 0.817510i | \(0.695354\pi\) | |||||||
\(542\) | −41.4387 | + | 37.3116i | −1.77994 | + | 1.60267i | ||||
\(543\) | 0.516269 | − | 2.06571i | 0.0221552 | − | 0.0886482i | ||||
\(544\) | 10.6037 | + | 49.8864i | 0.454629 | + | 2.13886i | ||||
\(545\) | −11.0461 | − | 8.36722i | −0.473162 | − | 0.358412i | ||||
\(546\) | −0.356713 | − | 36.2724i | −0.0152659 | − | 1.55231i | ||||
\(547\) | −18.0854 | + | 5.87631i | −0.773277 | + | 0.251253i | −0.668967 | − | 0.743292i | \(-0.733263\pi\) |
−0.104310 | + | 0.994545i | \(0.533263\pi\) | |||||||
\(548\) | 1.87413 | − | 17.8312i | 0.0800589 | − | 0.761710i | ||||
\(549\) | −22.6131 | + | 0.764298i | −0.965103 | + | 0.0326195i | ||||
\(550\) | 20.0107 | + | 50.2507i | 0.853260 | + | 2.14270i | ||||
\(551\) | 2.61827 | + | 4.53497i | 0.111542 | + | 0.193196i | ||||
\(552\) | −23.9926 | + | 65.8043i | −1.02119 | + | 2.80082i | ||||
\(553\) | −10.9635 | − | 42.1029i | −0.466215 | − | 1.79040i | ||||
\(554\) | 67.0441 | − | 21.7839i | 2.84843 | − | 0.925511i | ||||
\(555\) | −22.4216 | + | 11.3380i | −0.951744 | + | 0.481273i | ||||
\(556\) | 6.42416 | − | 5.78434i | 0.272445 | − | 0.245310i | ||||
\(557\) | 13.0581 | − | 22.6173i | 0.553289 | − | 0.958325i | −0.444745 | − | 0.895657i | \(-0.646706\pi\) |
0.998034 | − | 0.0626679i | \(-0.0199609\pi\) | |||||||
\(558\) | −11.9176 | − | 12.3687i | −0.504511 | − | 0.523609i | ||||
\(559\) | −3.91218 | − | 5.38465i | −0.165467 | − | 0.227746i | ||||
\(560\) | 16.3689 | − | 87.9096i | 0.691714 | − | 3.71486i | ||||
\(561\) | −5.36928 | + | 14.7263i | −0.226691 | + | 0.621745i | ||||
\(562\) | 35.6703 | − | 80.1169i | 1.50466 | − | 3.37953i | ||||
\(563\) | 20.8681 | − | 2.19333i | 0.879486 | − | 0.0924377i | 0.345988 | − | 0.938239i | \(-0.387544\pi\) |
0.533498 | + | 0.845801i | \(0.320877\pi\) | |||||||
\(564\) | −14.2436 | + | 11.9382i | −0.599766 | + | 0.502691i | ||||
\(565\) | 2.36043 | − | 18.8345i | 0.0993039 | − | 0.792373i | ||||
\(566\) | 37.9542 | − | 27.5753i | 1.59533 | − | 1.15908i | ||||
\(567\) | −7.17336 | + | 22.7056i | −0.301253 | + | 0.953544i | ||||
\(568\) | 43.6830i | 1.83290i | ||||||||
\(569\) | −7.12921 | − | 33.5403i | −0.298872 | − | 1.40608i | −0.829514 | − | 0.558487i | \(-0.811382\pi\) |
0.530641 | − | 0.847596i | \(-0.321951\pi\) | |||||||
\(570\) | 55.7373 | + | 36.4394i | 2.33458 | + | 1.52628i | ||||
\(571\) | −35.8849 | − | 7.62757i | −1.50174 | − | 0.319204i | −0.617622 | − | 0.786475i | \(-0.711904\pi\) |
−0.884114 | + | 0.467272i | \(0.845237\pi\) | |||||||
\(572\) | −46.6315 | − | 41.9872i | −1.94976 | − | 1.75557i | ||||
\(573\) | 18.3439 | + | 6.68826i | 0.766325 | + | 0.279406i | ||||
\(574\) | 45.1548 | + | 2.68621i | 1.88472 | + | 0.112120i | ||||
\(575\) | 21.1899 | + | 0.846133i | 0.883679 | + | 0.0352862i | ||||
\(576\) | 81.3630 | + | 43.3785i | 3.39013 | + | 1.80744i | ||||
\(577\) | 4.82860 | − | 2.14983i | 0.201017 | − | 0.0894986i | −0.303759 | − | 0.952749i | \(-0.598242\pi\) |
0.504776 | + | 0.863250i | \(0.331575\pi\) | |||||||
\(578\) | −31.4752 | − | 6.69026i | −1.30920 | − | 0.278278i | ||||
\(579\) | −7.71842 | + | 15.8026i | −0.320767 | + | 0.656735i | ||||
\(580\) | 6.17053 | − | 8.14609i | 0.256217 | − | 0.338248i | ||||
\(581\) | −10.9280 | + | 8.72234i | −0.453371 | + | 0.361863i | ||||
\(582\) | 2.29754 | + | 8.02946i | 0.0952362 | + | 0.332832i | ||||
\(583\) | −1.63301 | − | 7.68269i | −0.0676322 | − | 0.318185i | ||||
\(584\) | 0.0399443 | + | 0.380044i | 0.00165291 | + | 0.0157263i | ||||
\(585\) | −0.268438 | − | 19.4069i | −0.0110985 | − | 0.802378i | ||||
\(586\) | 25.3228 | + | 2.66153i | 1.04607 | + | 0.109947i | ||||
\(587\) | −6.06353 | − | 8.34573i | −0.250269 | − | 0.344465i | 0.665337 | − | 0.746543i | \(-0.268288\pi\) |
−0.915605 | + | 0.402078i | \(0.868288\pi\) | |||||||
\(588\) | −64.1876 | + | 17.3901i | −2.64705 | + | 0.717154i | ||||
\(589\) | 10.6400 | + | 7.73044i | 0.438415 | + | 0.318527i | ||||
\(590\) | 18.1033 | − | 19.3163i | 0.745300 | − | 0.795239i | ||||
\(591\) | −32.6533 | + | 13.1715i | −1.34318 | + | 0.541803i | ||||
\(592\) | 72.8689 | − | 65.6114i | 2.99489 | − | 2.69661i | ||||
\(593\) | −0.406600 | + | 0.234750i | −0.0166970 | + | 0.00964004i | −0.508325 | − | 0.861165i | \(-0.669735\pi\) |
0.491628 | + | 0.870805i | \(0.336402\pi\) | |||||||
\(594\) | 28.0233 | + | 48.7268i | 1.14981 | + | 1.99928i | ||||
\(595\) | −11.1526 | − | 7.67864i | −0.457210 | − | 0.314794i | ||||
\(596\) | 92.8882 | − | 30.1812i | 3.80485 | − | 1.23627i | ||||
\(597\) | −14.3161 | + | 29.3107i | −0.585919 | + | 1.19961i | ||||
\(598\) | −30.6705 | + | 13.6554i | −1.25421 | + | 0.558411i | ||||
\(599\) | 4.18235 | + | 2.41468i | 0.170886 | + | 0.0986613i | 0.583004 | − | 0.812469i | \(-0.301877\pi\) |
−0.412117 | + | 0.911131i | \(0.635211\pi\) | |||||||
\(600\) | 14.7903 | − | 81.2346i | 0.603812 | − | 3.31639i | ||||
\(601\) | − | 2.40741i | − | 0.0982003i | −0.998794 | − | 0.0491002i | \(-0.984365\pi\) | ||
0.998794 | − | 0.0491002i | \(-0.0156354\pi\) | |||||||
\(602\) | −10.5702 | + | 12.8663i | −0.430807 | + | 0.524390i | ||||
\(603\) | 13.0236 | − | 15.4856i | 0.530361 | − | 0.630624i | ||||
\(604\) | 66.1671 | − | 73.4860i | 2.69230 | − | 2.99010i | ||||
\(605\) | −0.877344 | − | 10.3255i | −0.0356691 | − | 0.419792i | ||||
\(606\) | −41.5537 | + | 66.4169i | −1.68800 | + | 2.69800i | ||||
\(607\) | 9.61464 | + | 16.6531i | 0.390246 | + | 0.675927i | 0.992482 | − | 0.122392i | \(-0.0390565\pi\) |
−0.602235 | + | 0.798318i | \(0.705723\pi\) | |||||||
\(608\) | −133.189 | − | 43.2758i | −5.40154 | − | 1.75507i | ||||
\(609\) | −3.74251 | − | 0.757108i | −0.151654 | − | 0.0306796i | ||||
\(610\) | −26.3695 | − | 37.8608i | −1.06767 | − | 1.53294i | ||||
\(611\) | −5.62906 | − | 0.591638i | −0.227727 | − | 0.0239351i | ||||
\(612\) | 29.7031 | − | 23.1531i | 1.20068 | − | 0.935907i | ||||
\(613\) | 9.93154 | − | 1.04385i | 0.401131 | − | 0.0421606i | 0.0981848 | − | 0.995168i | \(-0.468696\pi\) |
0.302946 | + | 0.953008i | \(0.402030\pi\) | |||||||
\(614\) | −2.29004 | + | 21.7883i | −0.0924186 | + | 0.879304i | ||||
\(615\) | 24.1660 | + | 1.34070i | 0.974469 | + | 0.0540621i | ||||
\(616\) | −45.9085 | + | 88.5495i | −1.84970 | + | 3.56776i | ||||
\(617\) | 1.69928 | − | 5.22986i | 0.0684106 | − | 0.210546i | −0.911007 | − | 0.412391i | \(-0.864694\pi\) |
0.979417 | + | 0.201845i | \(0.0646937\pi\) | |||||||
\(618\) | −62.0746 | + | 64.2081i | −2.49701 | + | 2.58283i | ||||
\(619\) | 15.3482 | − | 13.8196i | 0.616897 | − | 0.555456i | −0.300323 | − | 0.953837i | \(-0.597095\pi\) |
0.917220 | + | 0.398381i | \(0.130428\pi\) | |||||||
\(620\) | 5.83620 | − | 24.9939i | 0.234387 | − | 1.00378i | ||||
\(621\) | 21.9218 | − | 2.26683i | 0.879692 | − | 0.0909648i | ||||
\(622\) | 10.8309 | + | 33.3340i | 0.434278 | + | 1.33657i | ||||
\(623\) | −3.63510 | − | 2.98638i | −0.145637 | − | 0.119647i | ||||
\(624\) | 20.8375 | + | 72.8229i | 0.834167 | + | 2.91525i | ||||
\(625\) | −24.7903 | + | 3.23143i | −0.991611 | + | 0.129257i | ||||
\(626\) | −11.7601 | + | 20.3690i | −0.470026 | + | 0.814109i | ||||
\(627\) | −27.6477 | − | 32.9867i | −1.10414 | − | 1.31736i | ||||
\(628\) | −58.5563 | + | 65.0333i | −2.33665 | + | 2.59511i | ||||
\(629\) | −4.58821 | − | 14.1210i | −0.182944 | − | 0.563043i | ||||
\(630\) | −46.8161 | + | 12.8848i | −1.86520 | + | 0.513341i | ||||
\(631\) | 9.96418 | − | 30.6666i | 0.396668 | − | 1.22082i | −0.530987 | − | 0.847380i | \(-0.678179\pi\) |
0.927655 | − | 0.373438i | \(-0.121821\pi\) | |||||||
\(632\) | 78.3919 | + | 135.779i | 3.11826 | + | 5.40099i | ||||
\(633\) | −14.1251 | + | 22.5768i | −0.561424 | + | 0.897346i | ||||
\(634\) | 0.680474 | + | 6.47428i | 0.0270251 | + | 0.257126i | ||||
\(635\) | 4.77768 | + | 24.9116i | 0.189597 | + | 0.988587i | ||||
\(636\) | −6.46431 | + | 17.7296i | −0.256327 | + | 0.703026i | ||||
\(637\) | −17.3949 | − | 10.3731i | −0.689213 | − | 0.410999i | ||||
\(638\) | −7.29215 | + | 5.29806i | −0.288699 | + | 0.209752i | ||||
\(639\) | 12.3606 | − | 6.01152i | 0.488977 | − | 0.237812i | ||||
\(640\) | 7.48152 | + | 88.0506i | 0.295733 | + | 3.48050i | ||||
\(641\) | −13.7796 | + | 1.44829i | −0.544260 | + | 0.0572040i | −0.372669 | − | 0.927964i | \(-0.621557\pi\) |
−0.171591 | + | 0.985168i | \(0.554891\pi\) | |||||||
\(642\) | 18.3657 | + | 34.5877i | 0.724838 | + | 1.36507i | ||||
\(643\) | −35.7921 | −1.41150 | −0.705751 | − | 0.708460i | \(-0.749390\pi\) | ||||
−0.705751 | + | 0.708460i | \(0.749390\pi\) | |||||||
\(644\) | 38.3959 | + | 48.1054i | 1.51301 | + | 1.89562i | ||||
\(645\) | −5.62810 | + | 6.90678i | −0.221606 | + | 0.271954i | ||||
\(646\) | −26.3319 | + | 29.2445i | −1.03601 | + | 1.15061i | ||||
\(647\) | 6.56639 | − | 30.8924i | 0.258151 | − | 1.21451i | −0.637746 | − | 0.770247i | \(-0.720133\pi\) |
0.895898 | − | 0.444260i | \(-0.146534\pi\) | |||||||
\(648\) | 3.18688 | − | 85.7502i | 0.125192 | − | 3.36858i | ||||
\(649\) | −14.8184 | + | 8.55543i | −0.581675 | + | 0.335830i | ||||
\(650\) | 32.9222 | − | 21.9675i | 1.29132 | − | 0.861635i | ||||
\(651\) | −9.36028 | + | 2.08600i | −0.366858 | + | 0.0817568i | ||||
\(652\) | 56.9930 | − | 78.4441i | 2.23202 | − | 3.07211i | ||||
\(653\) | −1.71790 | + | 1.90792i | −0.0672265 | + | 0.0746626i | −0.775820 | − | 0.630955i | \(-0.782663\pi\) |
0.708593 | + | 0.705617i | \(0.249330\pi\) | |||||||
\(654\) | −2.03208 | − | 29.2960i | −0.0794607 | − | 1.14556i | ||||
\(655\) | 11.9609 | − | 19.7939i | 0.467351 | − | 0.773413i | ||||
\(656\) | −92.3922 | + | 19.6386i | −3.60731 | + | 0.766757i | ||||
\(657\) | 0.102041 | − | 0.0636032i | 0.00398098 | − | 0.00248140i | ||||
\(658\) | 2.11638 | + | 14.0013i | 0.0825051 | + | 0.545826i | ||||
\(659\) | −27.9371 | − | 38.4521i | −1.08827 | − | 1.49788i | −0.850072 | − | 0.526666i | \(-0.823442\pi\) |
−0.238202 | − | 0.971216i | \(-0.576558\pi\) | |||||||
\(660\) | −38.3624 | + | 74.7239i | −1.49325 | + | 2.90862i | ||||
\(661\) | 12.3148 | + | 27.6596i | 0.478992 | + | 1.07583i | 0.977880 | + | 0.209166i | \(0.0670751\pi\) |
−0.498888 | + | 0.866666i | \(0.666258\pi\) | |||||||
\(662\) | 8.01508 | + | 76.2584i | 0.311515 | + | 2.96387i | ||||
\(663\) | 11.3571 | + | 1.60262i | 0.441073 | + | 0.0622408i | ||||
\(664\) | 29.6167 | − | 40.7638i | 1.14935 | − | 1.58194i | ||||
\(665\) | 33.5719 | − | 15.9786i | 1.30186 | − | 0.619624i | ||||
\(666\) | −49.3458 | − | 20.0013i | −1.91211 | − | 0.775036i | ||||
\(667\) | 0.734762 | + | 3.45678i | 0.0284501 | + | 0.133847i | ||||
\(668\) | 12.0875 | + | 6.97873i | 0.467680 | + | 0.270015i | ||||
\(669\) | −11.1105 | + | 17.7583i | −0.429556 | + | 0.686577i | ||||
\(670\) | 40.9410 | + | 5.13091i | 1.58169 | + | 0.198225i | ||||
\(671\) | 9.21528 | + | 28.3617i | 0.355752 | + | 1.09489i | ||||
\(672\) | 87.9282 | − | 51.9249i | 3.39191 | − | 2.00305i | ||||
\(673\) | −4.79620 | + | 6.60140i | −0.184880 | + | 0.254465i | −0.891389 | − | 0.453238i | \(-0.850269\pi\) |
0.706510 | + | 0.707704i | \(0.250269\pi\) | |||||||
\(674\) | −74.8233 | + | 43.1993i | −2.88209 | + | 1.66397i | ||||
\(675\) | −25.0216 | + | 6.99418i | −0.963083 | + | 0.269206i | ||||
\(676\) | 12.6945 | − | 21.9876i | 0.488252 | − | 0.845677i | ||||
\(677\) | −10.1601 | − | 1.06787i | −0.390485 | − | 0.0410416i | −0.0927480 | − | 0.995690i | \(-0.529565\pi\) |
−0.297737 | + | 0.954648i | \(0.596232\pi\) | |||||||
\(678\) | 33.3616 | − | 22.4755i | 1.28124 | − | 0.863165i | ||||
\(679\) | 4.49551 | + | 1.23865i | 0.172522 | + | 0.0475349i | ||||
\(680\) | 46.0964 | + | 16.0014i | 1.76772 | + | 0.613625i | ||||
\(681\) | 25.2998 | − | 13.4340i | 0.969492 | − | 0.514791i | ||||
\(682\) | −11.3190 | + | 19.6051i | −0.433428 | + | 0.750720i | ||||
\(683\) | 0.451226 | + | 0.501137i | 0.0172657 | + | 0.0191755i | 0.751716 | − | 0.659487i | \(-0.229227\pi\) |
−0.734450 | + | 0.678663i | \(0.762560\pi\) | |||||||
\(684\) | 14.2776 | + | 102.423i | 0.545916 | + | 3.91623i | ||||
\(685\) | −5.82646 | − | 4.41345i | −0.222618 | − | 0.168629i | ||||
\(686\) | −14.1475 | + | 48.6538i | −0.540155 | + | 1.85761i | ||||
\(687\) | 7.87087 | − | 10.0626i | 0.300293 | − | 0.383913i | ||||
\(688\) | 14.1424 | − | 31.7644i | 0.539175 | − | 1.21101i | ||||
\(689\) | −5.25039 | + | 2.33762i | −0.200024 | + | 0.0890564i | ||||
\(690\) | 28.1753 | + | 35.0123i | 1.07262 | + | 1.33290i | ||||
\(691\) | −1.38897 | + | 3.11967i | −0.0528388 | + | 0.118678i | −0.938036 | − | 0.346539i | \(-0.887357\pi\) |
0.885197 | + | 0.465217i | \(0.154024\pi\) | |||||||
\(692\) | −32.6525 | − | 10.6094i | −1.24126 | − | 0.403310i | ||||
\(693\) | 31.3738 | + | 0.804377i | 1.19179 | + | 0.0305558i | ||||
\(694\) | −10.8487 | + | 33.3888i | −0.411810 | + | 1.26742i | ||||
\(695\) | −0.663783 | − | 3.46107i | −0.0251787 | − | 0.131286i | ||||
\(696\) | 13.7269 | − | 0.952154i | 0.520319 | − | 0.0360913i | ||||
\(697\) | −2.97373 | + | 13.9903i | −0.112638 | + | 0.529921i | ||||
\(698\) | −59.7363 | − | 6.27854i | −2.26105 | − | 0.237646i | ||||
\(699\) | −5.05802 | − | 17.6768i | −0.191312 | − | 0.668597i | ||||
\(700\) | −54.1829 | − | 48.2602i | −2.04792 | − | 1.82406i | ||||
\(701\) | − | 40.3192i | − | 1.52283i | −0.648262 | − | 0.761417i | \(-0.724504\pi\) | ||
0.648262 | − | 0.761417i | \(-0.275496\pi\) | |||||||
\(702\) | 30.6125 | − | 27.4706i | 1.15539 | − | 1.03681i | ||||
\(703\) | 39.8795 | + | 8.47666i | 1.50409 | + | 0.319703i | ||||
\(704\) | 25.2667 | − | 118.871i | 0.952275 | − | 4.48010i | ||||
\(705\) | 1.16232 | + | 7.48692i | 0.0437757 | + | 0.281974i | ||||
\(706\) | −53.7961 | − | 17.4794i | −2.02464 | − | 0.657846i | ||||
\(707\) | 19.5831 | + | 39.1141i | 0.736498 | + | 1.47104i | ||||
\(708\) | 41.0859 | + | 1.45780i | 1.54410 | + | 0.0547874i | ||||
\(709\) | 27.9297 | + | 12.4351i | 1.04892 | + | 0.467011i | 0.857493 | − | 0.514495i | \(-0.172021\pi\) |
0.191431 | + | 0.981506i | \(0.438687\pi\) | |||||||
\(710\) | 23.9889 | + | 14.4958i | 0.900289 | + | 0.544018i | ||||
\(711\) | 27.6320 | − | 40.8673i | 1.03628 | − | 1.53264i | ||||
\(712\) | 15.4877 | + | 6.89559i | 0.580428 | + | 0.258423i | ||||
\(713\) | 5.21708 | + | 7.18069i | 0.195381 | + | 0.268919i | ||||
\(714\) | −3.27989 | − | 28.5065i | −0.122747 | − | 1.06683i | ||||
\(715\) | −24.4819 | + | 7.41794i | −0.915570 | + | 0.277415i | ||||
\(716\) | −2.24386 | + | 5.03980i | −0.0838572 | + | 0.188346i | ||||
\(717\) | 6.25703 | + | 3.91470i | 0.233673 | + | 0.146197i | ||||
\(718\) | 2.27667 | + | 1.31443i | 0.0849644 | + | 0.0490542i | ||||
\(719\) | 33.8239 | − | 7.18948i | 1.26142 | − | 0.268122i | 0.471791 | − | 0.881711i | \(-0.343608\pi\) |
0.789626 | + | 0.613588i | \(0.210274\pi\) | |||||||
\(720\) | 87.0997 | − | 51.9063i | 3.24602 | − | 1.93444i | ||||
\(721\) | 12.5654 | + | 48.2545i | 0.467958 | + | 1.79709i | ||||
\(722\) | −17.3286 | − | 53.3318i | −0.644902 | − | 1.98481i | ||||
\(723\) | −0.781502 | − | 4.44668i | −0.0290644 | − | 0.165374i | ||||
\(724\) | 5.83942 | + | 3.37139i | 0.217020 | + | 0.125297i | ||||
\(725\) | −1.54132 | − | 3.87053i | −0.0572430 | − | 0.143748i | ||||
\(726\) | 15.2640 | − | 15.7886i | 0.566499 | − | 0.585970i | ||||
\(727\) | −11.0385 | − | 8.01997i | −0.409397 | − | 0.297444i | 0.363961 | − | 0.931414i | \(-0.381424\pi\) |
−0.773358 | + | 0.633970i | \(0.781424\pi\) | |||||||
\(728\) | 70.3630 | + | 19.3871i | 2.60783 | + | 0.718533i | ||||
\(729\) | −24.7025 | + | 10.8989i | −0.914908 | + | 0.403663i | ||||
\(730\) | 0.221960 | + | 0.104178i | 0.00821511 | + | 0.00385582i | ||||
\(731\) | −3.52301 | − | 3.91270i | −0.130303 | − | 0.144716i | ||||
\(732\) | 17.3728 | − | 69.5126i | 0.642118 | − | 2.56926i | ||||
\(733\) | −22.3859 | + | 4.75827i | −0.826842 | + | 0.175751i | −0.601849 | − | 0.798610i | \(-0.705569\pi\) |
−0.224993 | + | 0.974360i | \(0.572236\pi\) | |||||||
\(734\) | 54.7507 | − | 39.7787i | 2.02088 | − | 1.46826i | ||||
\(735\) | −7.46565 | + | 26.0627i | −0.275375 | + | 0.961337i | ||||
\(736\) | −76.4617 | − | 55.5527i | −2.81841 | − | 2.04770i | ||||
\(737\) | −24.3631 | − | 10.8472i | −0.897427 | − | 0.399560i | ||||
\(738\) | 31.5327 | + | 40.4534i | 1.16074 | + | 1.48911i | ||||
\(739\) | −3.82350 | + | 1.70233i | −0.140650 | + | 0.0626213i | −0.475855 | − | 0.879524i | \(-0.657861\pi\) |
0.335205 | + | 0.942145i | \(0.391194\pi\) | |||||||
\(740\) | −14.9863 | − | 78.1411i | −0.550908 | − | 2.87252i | ||||
\(741\) | −19.4038 | + | 24.8071i | −0.712817 | + | 0.911311i | ||||
\(742\) | 8.96956 | + | 11.2378i | 0.329283 | + | 0.412551i | ||||
\(743\) | 38.5676 | 1.41491 | 0.707454 | − | 0.706760i | \(-0.249844\pi\) | ||||
0.707454 | + | 0.706760i | \(0.249844\pi\) | |||||||
\(744\) | 30.5226 | − | 16.2072i | 1.11901 | − | 0.594186i | ||||
\(745\) | 9.05385 | − | 38.7737i | 0.331707 | − | 1.42056i | ||||
\(746\) | 18.2466 | − | 85.8434i | 0.668054 | − | 3.14295i | ||||
\(747\) | −15.6103 | − | 2.77056i | −0.571152 | − | 0.101369i | ||||
\(748\) | −40.1575 | − | 29.1761i | −1.46830 | − | 1.06678i | ||||
\(749\) | 21.8265 | + | 1.29843i | 0.797522 | + | 0.0474438i | ||||
\(750\) | −39.7027 | − | 35.0792i | −1.44974 | − | 1.28091i | ||||
\(751\) | −0.319721 | − | 0.553773i | −0.0116668 | − | 0.0202075i | 0.860133 | − | 0.510070i | \(-0.170380\pi\) |
−0.871800 | + | 0.489862i | \(0.837047\pi\) | |||||||
\(752\) | −12.0267 | − | 27.0124i | −0.438568 | − | 0.985041i | ||||
\(753\) | −0.738942 | − | 10.6531i | −0.0269285 | − | 0.388221i | ||||
\(754\) | 4.90144 | + | 4.41328i | 0.178500 | + | 0.160722i | ||||
\(755\) | −11.6898 | − | 38.5807i | −0.425437 | − | 1.40410i | ||||
\(756\) | −62.8792 | − | 41.6200i | −2.28689 | − | 1.51371i | ||||
\(757\) | − | 29.2807i | − | 1.06422i | −0.846674 | − | 0.532112i | \(-0.821399\pi\) | ||
0.846674 | − | 0.532112i | \(-0.178601\pi\) | |||||||
\(758\) | −0.606394 | + | 0.128893i | −0.0220252 | + | 0.00468160i | ||||
\(759\) | −10.8662 | − | 26.9382i | −0.394418 | − | 0.977795i | ||||
\(760\) | −101.340 | + | 87.6492i | −3.67598 | + | 3.17937i | ||||
\(761\) | −4.85728 | + | 46.2139i | −0.176076 | + | 1.67525i | 0.448111 | + | 0.893978i | \(0.352097\pi\) |
−0.624187 | + | 0.781275i | \(0.714570\pi\) | |||||||
\(762\) | −33.1184 | + | 42.3407i | −1.19975 | + | 1.53384i | ||||
\(763\) | −14.5562 | − | 7.54668i | −0.526972 | − | 0.273208i | ||||
\(764\) | −36.3433 | + | 50.0223i | −1.31486 | + | 1.80974i | ||||
\(765\) | −1.81589 | − | 15.2455i | −0.0656536 | − | 0.551204i | ||||
\(766\) | 47.1876 | − | 4.95961i | 1.70496 | − | 0.179198i | ||||
\(767\) | 8.37790 | + | 9.30460i | 0.302509 | + | 0.335970i | ||||
\(768\) | −56.1610 | + | 58.0913i | −2.02654 | + | 2.09619i | ||||
\(769\) | 4.29919 | + | 1.39689i | 0.155033 | + | 0.0503732i | 0.385505 | − | 0.922706i | \(-0.374027\pi\) |
−0.230473 | + | 0.973079i | \(0.574027\pi\) | |||||||
\(770\) | 33.3935 | + | 54.5954i | 1.20342 | + | 1.96748i | ||||
\(771\) | −17.1098 | − | 25.3970i | −0.616195 | − | 0.914652i | ||||
\(772\) | −41.3880 | − | 37.2659i | −1.48959 | − | 1.34123i | ||||
\(773\) | −10.0553 | − | 22.5847i | −0.361665 | − | 0.812313i | −0.999125 | − | 0.0418296i | \(-0.986681\pi\) |
0.637460 | − | 0.770484i | \(-0.279985\pi\) | |||||||
\(774\) | −18.8701 | + | 0.637791i | −0.678273 | + | 0.0229249i | ||||
\(775\) | −7.49031 | − | 7.30609i | −0.269060 | − | 0.262442i | ||||
\(776\) | −16.8040 | −0.603227 | ||||||||
\(777\) | −23.8779 | + | 17.7097i | −0.856617 | + | 0.635332i | ||||
\(778\) | 52.8857 | − | 17.1836i | 1.89604 | − | 0.616062i | ||||
\(779\) | −29.1865 | − | 26.2796i | −1.04571 | − | 0.941565i | ||||
\(780\) | 59.3194 | + | 16.0894i | 2.12397 | + | 0.576093i | ||||
\(781\) | −12.1219 | − | 13.4628i | −0.433756 | − | 0.481735i | ||||
\(782\) | −22.9999 | + | 13.2790i | −0.822473 | + | 0.474855i | ||||
\(783\) | −2.15848 | − | 3.75316i | −0.0771379 | − | 0.134127i | ||||
\(784\) | 1.49370 | − | 105.793i | 0.0533465 | − | 3.77833i | ||||
\(785\) | 10.3452 | + | 34.1430i | 0.369237 | + | 1.21861i | ||||
\(786\) | 48.2710 | − | 8.48359i | 1.72177 | − | 0.302600i | ||||
\(787\) | 1.36416 | + | 12.9792i | 0.0486272 | + | 0.462657i | 0.991558 | + | 0.129667i | \(0.0413908\pi\) |
−0.942930 | + | 0.332990i | \(0.891943\pi\) | |||||||
\(788\) | −11.6549 | − | 110.889i | −0.415190 | − | 3.95027i | ||||
\(789\) | −37.3520 | + | 6.56458i | −1.32977 | + | 0.233705i | ||||
\(790\) | 100.578 | + | 2.00729i | 3.57840 | + | 0.0714161i | ||||
\(791\) | −1.01709 | − | 22.4366i | −0.0361636 | − | 0.797752i | ||||
\(792\) | −109.769 | + | 27.2378i | −3.90046 | + | 0.967853i | ||||
\(793\) | 18.8977 | − | 10.9106i | 0.671078 | − | 0.387447i | ||||
\(794\) | −3.55365 | − | 3.94673i | −0.126114 | − | 0.140064i | ||||
\(795\) | 4.82324 | + | 5.99364i | 0.171063 | + | 0.212572i | ||||
\(796\) | −76.7663 | − | 69.1207i | −2.72091 | − | 2.44992i | ||||
\(797\) | 22.0356 | − | 7.15981i | 0.780542 | − | 0.253613i | 0.108470 | − | 0.994100i | \(-0.465405\pi\) |
0.672071 | + | 0.740486i | \(0.265405\pi\) | |||||||
\(798\) | 72.2922 | + | 31.3384i | 2.55912 | + | 1.10937i | ||||
\(799\) | −4.47739 | −0.158399 | ||||||||
\(800\) | 99.8954 | + | 49.3425i | 3.53184 | + | 1.74452i | ||||
\(801\) | −0.180195 | − | 5.33137i | −0.00636687 | − | 0.188375i | ||||
\(802\) | 10.1824 | + | 22.8700i | 0.359552 | + | 0.807567i | ||||
\(803\) | −0.117772 | − | 0.106042i | −0.00415608 | − | 0.00374215i | ||||
\(804\) | 35.8012 | + | 53.1416i | 1.26261 | + | 1.87416i | ||||
\(805\) | 24.8802 | − | 3.25444i | 0.876913 | − | 0.114704i | ||||
\(806\) | 15.7543 | + | 5.11887i | 0.554920 | + | 0.180304i | ||||
\(807\) | −30.3914 | + | 31.4359i | −1.06983 | + | 1.10660i | ||||
\(808\) | −105.477 | − | 117.144i | −3.71067 | − | 4.12112i | ||||
\(809\) | 46.2842 | − | 4.86467i | 1.62727 | − | 0.171033i | 0.753524 | − | 0.657421i | \(-0.228353\pi\) |
0.873743 | + | 0.486388i | \(0.161686\pi\) | |||||||
\(810\) | −46.0330 | − | 30.2055i | −1.61743 | − | 1.06131i | ||||
\(811\) | −20.7580 | + | 28.5710i | −0.728912 | + | 1.00326i | 0.270268 | + | 0.962785i | \(0.412888\pi\) |
−0.999180 | + | 0.0404768i | \(0.987112\pi\) | |||||||
\(812\) | 5.56541 | − | 10.7347i | 0.195308 | − | 0.376715i | ||||
\(813\) | −21.7496 | + | 27.8061i | −0.762793 | + | 0.975204i | ||||
\(814\) | −7.33557 | + | 69.7933i | −0.257112 | + | 2.44626i | ||||
\(815\) | −15.3541 | − | 36.4250i | −0.537830 | − | 1.27591i | ||||
\(816\) | 22.4147 | + | 55.5679i | 0.784671 | + | 1.94527i | ||||
\(817\) | 14.1414 | − | 3.00585i | 0.494745 | − | 0.105161i | ||||
\(818\) | 12.4434i | 0.435075i | ||||||||
\(819\) | −4.19736 | − | 22.5780i | −0.146667 | − | 0.788938i | ||||
\(820\) | −25.1345 | + | 72.4069i | −0.877734 | + | 2.52856i | ||||
\(821\) | −5.51548 | − | 4.96616i | −0.192492 | − | 0.173320i | 0.567249 | − | 0.823546i | \(-0.308008\pi\) |
−0.759741 | + | 0.650226i | \(0.774674\pi\) | |||||||
\(822\) | −1.07186 | − | 15.4527i | −0.0373854 | − | 0.538976i | ||||
\(823\) | 18.5053 | + | 41.5636i | 0.645055 | + | 1.44882i | 0.879122 | + | 0.476596i | \(0.158130\pi\) |
−0.234068 | + | 0.972220i | \(0.575204\pi\) | |||||||
\(824\) | −89.8458 | − | 155.617i | −3.12993 | − | 5.42119i | ||||
\(825\) | 17.9841 | + | 29.1401i | 0.626127 | + | 1.01453i | ||||
\(826\) | 17.2452 | − | 26.1493i | 0.600038 | − | 0.909852i | ||||
\(827\) | 20.0035 | + | 14.5334i | 0.695591 | + | 0.505376i | 0.878493 | − | 0.477755i | \(-0.158549\pi\) |
−0.182902 | + | 0.983131i | \(0.558549\pi\) | |||||||
\(828\) | −12.1961 | + | 68.7170i | −0.423843 | + | 2.38808i | ||||
\(829\) | −11.7328 | + | 55.1983i | −0.407496 | + | 1.91712i | −0.00896775 | + | 0.999960i | \(0.502855\pi\) |
−0.398528 | + | 0.917156i | \(0.630479\pi\) | |||||||
\(830\) | −12.5578 | − | 29.7914i | −0.435889 | − | 1.03407i | ||||
\(831\) | 39.4171 | − | 20.9301i | 1.36736 | − | 0.726057i | ||||
\(832\) | −88.9247 | −3.08291 | ||||||||
\(833\) | −14.5426 | − | 6.72237i | −0.503871 | − | 0.232916i | ||||
\(834\) | 4.60127 | − | 5.88256i | 0.159329 | − | 0.203696i | ||||
\(835\) | 4.98354 | − | 2.74615i | 0.172463 | − | 0.0950343i | ||||
\(836\) | 124.516 | − | 55.4380i | 4.30647 | − | 1.91736i | ||||
\(837\) | −8.78644 | − | 6.40631i | −0.303704 | − | 0.221435i | ||||
\(838\) | 10.5056 | + | 4.67741i | 0.362911 | + | 0.161579i | ||||
\(839\) | −10.8196 | − | 7.86087i | −0.373533 | − | 0.271387i | 0.385142 | − | 0.922857i | \(-0.374153\pi\) |
−0.758674 | + | 0.651470i | \(0.774153\pi\) | |||||||
\(840\) | 0.988780 | − | 97.6933i | 0.0341162 | − | 3.37074i | ||||
\(841\) | −22.8998 | + | 16.6377i | −0.789649 | + | 0.573714i | ||||
\(842\) | −43.5240 | + | 9.25132i | −1.49994 | + | 0.318821i | ||||
\(843\) | 13.4620 | − | 53.8646i | 0.463656 | − | 1.85519i | ||||
\(844\) | −56.4309 | − | 62.6729i | −1.94243 | − | 2.15729i | ||||
\(845\) | −4.99533 | − | 9.06522i | −0.171845 | − | 0.311853i | ||||
\(846\) | −10.3346 | + | 12.2883i | −0.355309 | + | 0.422479i | ||||
\(847\) | −3.08979 | − | 11.8657i | −0.106166 | − | 0.407709i | ||||
\(848\) | −24.2902 | − | 17.6478i | −0.834127 | − | 0.606029i | ||||
\(849\) | 20.6439 | − | 21.3534i | 0.708496 | − | 0.732847i | ||||
\(850\) | 24.0840 | − | 20.0044i | 0.826074 | − | 0.686145i | ||||
\(851\) | 23.8287 | + | 13.7575i | 0.816836 | + | 0.471601i | ||||
\(852\) | 7.53429 | + | 42.8695i | 0.258121 | + | 1.46869i | ||||
\(853\) | −6.52410 | − | 20.0791i | −0.223381 | − | 0.687496i | −0.998452 | − | 0.0556215i | \(-0.982286\pi\) |
0.775071 | − | 0.631874i | \(-0.217714\pi\) | |||||||
\(854\) | −38.3290 | − | 38.8740i | −1.31159 | − | 1.33024i | ||||
\(855\) | 38.7474 | + | 16.6132i | 1.32513 | + | 0.568158i | ||||
\(856\) | −77.0723 | + | 16.3822i | −2.63428 | + | 0.559933i | ||||
\(857\) | 46.8519 | + | 27.0500i | 1.60043 | + | 0.924009i | 0.991400 | + | 0.130863i | \(0.0417748\pi\) |
0.609031 | + | 0.793146i | \(0.291559\pi\) | |||||||
\(858\) | −45.9575 | − | 28.7532i | −1.56896 | − | 0.981619i | ||||
\(859\) | 11.6413 | − | 26.1469i | 0.397197 | − | 0.892120i | −0.598644 | − | 0.801015i | \(-0.704294\pi\) |
0.995841 | − | 0.0911048i | \(-0.0290398\pi\) | |||||||
\(860\) | −16.1251 | − | 23.1520i | −0.549860 | − | 0.789477i | ||||
\(861\) | 28.4499 | − | 3.27338i | 0.969571 | − | 0.111556i | ||||
\(862\) | 39.5154 | + | 54.3882i | 1.34590 | + | 1.85247i | ||||
\(863\) | 20.1114 | + | 8.95415i | 0.684598 | + | 0.304803i | 0.719405 | − | 0.694591i | \(-0.244415\pi\) |
−0.0348063 | + | 0.999394i | \(0.511081\pi\) | |||||||
\(864\) | 110.061 | + | 35.9655i | 3.74434 | + | 1.22357i | ||||
\(865\) | −10.5863 | + | 9.15612i | −0.359944 | + | 0.311317i | ||||
\(866\) | 87.4800 | + | 38.9486i | 2.97269 | + | 1.32353i | ||||
\(867\) | −20.3590 | − | 0.722373i | −0.691429 | − | 0.0245331i | ||||
\(868\) | 1.80342 | − | 30.3152i | 0.0612120 | − | 1.02896i | ||||
\(869\) | −61.8380 | − | 20.0924i | −2.09771 | − | 0.681587i | ||||
\(870\) | 4.03228 | − | 7.85425i | 0.136707 | − | 0.266284i | ||||
\(871\) | −4.05727 | + | 19.0880i | −0.137475 | + | 0.646771i | ||||
\(872\) | 57.7952 | + | 12.2848i | 1.95719 | + | 0.416014i | ||||
\(873\) | 2.31251 | + | 4.75486i | 0.0782666 | + | 0.160928i | ||||
\(874\) | − | 72.9255i | − | 2.46674i | ||||||
\(875\) | −28.2628 | + | 8.73017i | −0.955456 | + | 0.295134i | ||||
\(876\) | 0.104749 | + | 0.366077i | 0.00353914 | + | 0.0123686i | ||||
\(877\) | 17.0393 | + | 1.79091i | 0.575377 | + | 0.0604746i | 0.387748 | − | 0.921765i | \(-0.373253\pi\) |
0.187629 | + | 0.982240i | \(0.439920\pi\) | |||||||
\(878\) | 15.6864 | − | 73.7987i | 0.529390 | − | 2.49059i | ||||
\(879\) | 16.0813 | − | 1.11546i | 0.542408 | − | 0.0376235i | ||||
\(880\) | −97.5081 | − | 91.3848i | −3.28700 | − | 3.08058i | ||||
\(881\) | −12.0502 | + | 37.0866i | −0.405981 | + | 1.24948i | 0.514093 | + | 0.857734i | \(0.328129\pi\) |
−0.920074 | + | 0.391745i | \(0.871871\pi\) | |||||||
\(882\) | −52.0164 | + | 24.3960i | −1.75148 | + | 0.821457i | ||||
\(883\) | 13.4029 | + | 4.35486i | 0.451042 | + | 0.146553i | 0.525725 | − | 0.850655i | \(-0.323794\pi\) |
−0.0746822 | + | 0.997207i | \(0.523794\pi\) | |||||||
\(884\) | −14.7732 | + | 33.1812i | −0.496877 | + | 1.11600i | ||||
\(885\) | 9.17122 | − | 14.0282i | 0.308287 | − | 0.471553i | ||||
\(886\) | 82.8318 | − | 36.8791i | 2.78279 | − | 1.23898i | ||||
\(887\) | 6.42074 | − | 14.4212i | 0.215587 | − | 0.484217i | −0.773086 | − | 0.634301i | \(-0.781288\pi\) |
0.988673 | + | 0.150084i | \(0.0479545\pi\) | |||||||
\(888\) | 66.0041 | − | 84.3839i | 2.21495 | − | 2.83174i | ||||
\(889\) | 10.5576 | + | 28.0948i | 0.354092 | + | 0.942268i | ||||
\(890\) | 8.92624 | − | 6.21700i | 0.299208 | − | 0.208394i | ||||
\(891\) | 22.8133 | + | 27.3119i | 0.764273 | + | 0.914982i | ||||
\(892\) | −44.3872 | − | 49.2970i | −1.48619 | − | 1.65058i | ||||
\(893\) | 6.14724 | − | 10.6473i | 0.205710 | − | 0.356299i | ||||
\(894\) | 74.5248 | − | 39.5720i | 2.49248 | − | 1.32348i | ||||
\(895\) | 1.28538 | + | 1.84552i | 0.0429654 | + | 0.0616889i | ||||
\(896\) | 26.3481 | + | 101.184i | 0.880227 | + | 3.38032i | ||||
\(897\) | −17.6277 | + | 11.8757i | −0.588571 | + | 0.396517i | ||||
\(898\) | −0.00842436 | 0.000885436i | −0.000281125 | 2.95474e-5i | ||||||
\(899\) | 0.871843 | − | 1.51008i | 0.0290776 | − | 0.0503638i | ||||
\(900\) | 0.503824 | − | 82.2728i | 0.0167941 | − | 2.74243i | ||||
\(901\) | −3.93727 | + | 2.27318i | −0.131170 | + | 0.0757307i | ||||
\(902\) | 39.7357 | − | 54.6915i | 1.32305 | − | 1.82103i | ||||
\(903\) | −5.18089 | + | 9.18090i | −0.172409 | + | 0.305521i | ||||
\(904\) | 25.0108 | + | 76.9753i | 0.831846 | + | 2.56016i | ||||
\(905\) | 2.40752 | − | 1.32665i | 0.0800288 | − | 0.0440993i | ||||
\(906\) | 45.3119 | − | 72.4239i | 1.50539 | − | 2.40612i | ||||
\(907\) | 7.49625 | + | 4.32796i | 0.248909 | + | 0.143708i | 0.619264 | − | 0.785182i | \(-0.287431\pi\) |
−0.370356 | + | 0.928890i | \(0.620764\pi\) | |||||||
\(908\) | 18.8601 | + | 88.7300i | 0.625896 | + | 2.94461i | ||||
\(909\) | −18.6318 | + | 45.9669i | −0.617977 | + | 1.52463i | ||||
\(910\) | 33.9959 | − | 32.2071i | 1.12695 | − | 1.06765i | ||||
\(911\) | −27.7837 | + | 38.2409i | −0.920514 | + | 1.26698i | 0.0429325 | + | 0.999078i | \(0.486330\pi\) |
−0.963446 | + | 0.267901i | \(0.913670\pi\) | |||||||
\(912\) | −162.916 | − | 22.9894i | −5.39469 | − | 0.761256i | ||||
\(913\) | 2.18424 | + | 20.7816i | 0.0722877 | + | 0.687772i | ||||
\(914\) | 0.188337 | + | 0.423011i | 0.00622963 | + | 0.0139920i | ||||
\(915\) | −20.5913 | − | 20.7178i | −0.680726 | − | 0.684908i | ||||
\(916\) | 23.7794 | + | 32.7295i | 0.785694 | + | 1.08141i | ||||
\(917\) | 9.98660 | − | 25.4770i | 0.329787 | − | 0.841324i | ||||
\(918\) | 21.8118 | − | 24.1428i | 0.719898 | − | 0.796831i | ||||
\(919\) | 35.5201 | − | 7.55003i | 1.17170 | − | 0.249052i | 0.419355 | − | 0.907822i | \(-0.362256\pi\) |
0.752345 | + | 0.658770i | \(0.228923\pi\) | |||||||
\(920\) | −83.3234 | + | 35.1229i | −2.74709 | + | 1.15797i | ||||
\(921\) | 0.959767 | + | 13.8367i | 0.0316254 | + | 0.455935i | ||||
\(922\) | −0.934166 | + | 1.03750i | −0.0307651 | + | 0.0341681i | ||||
\(923\) | −7.79169 | + | 10.7243i | −0.256467 | + | 0.352996i | ||||
\(924\) | −29.7808 | + | 94.8186i | −0.979717 | + | 3.11930i | ||||
\(925\) | −30.4245 | − | 11.2463i | −1.00035 | − | 0.369777i | ||||
\(926\) | −58.4864 | + | 33.7671i | −1.92198 | + | 1.10966i | ||||
\(927\) | −31.6693 | + | 46.8384i | −1.04016 | + | 1.53838i | ||||
\(928\) | −3.86033 | + | 18.1614i | −0.126722 | + | 0.596178i | ||||
\(929\) | −14.5973 | + | 16.2119i | −0.478921 | + | 0.531896i | −0.933388 | − | 0.358868i | \(-0.883163\pi\) |
0.454467 | + | 0.890763i | \(0.349830\pi\) | |||||||
\(930\) | 1.22830 | − | 22.1400i | 0.0402774 | − | 0.725999i | ||||
\(931\) | 35.9522 | − | 25.3531i | 1.17829 | − | 0.830915i | ||||
\(932\) | 58.2243 | 1.90720 | ||||||||
\(933\) | 10.4063 | + | 19.5980i | 0.340688 | + | 0.641608i | ||||
\(934\) | −90.5420 | + | 9.51635i | −2.96263 | + | 0.311385i | ||||
\(935\) | −18.6469 | + | 7.86014i | −0.609818 | + | 0.257054i | ||||
\(936\) | 36.1950 | + | 74.4223i | 1.18307 | + | 2.43257i | ||||
\(937\) | 47.2872 | − | 34.3561i | 1.54480 | − | 1.12237i | 0.597573 | − | 0.801815i | \(-0.296132\pi\) |
0.947231 | − | 0.320551i | \(-0.103868\pi\) | |||||||
\(938\) | 48.7709 | − | 2.21087i | 1.59243 | − | 0.0721876i | ||||
\(939\) | −5.10064 | + | 13.9895i | −0.166453 | + | 0.456530i | ||||
\(940\) | −23.8069 | − | 2.98360i | −0.776497 | − | 0.0973142i | ||||
\(941\) | 5.37457 | + | 51.1356i | 0.175206 | + | 1.66697i | 0.630166 | + | 0.776460i | \(0.282987\pi\) |
−0.454960 | + | 0.890512i | \(0.650347\pi\) | |||||||
\(942\) | −40.0999 | + | 64.0933i | −1.30653 | + | 2.08827i | ||||
\(943\) | −13.2526 | − | 22.9542i | −0.431564 | − | 0.747491i | ||||
\(944\) | −20.2124 | + | 62.2074i | −0.657858 | + | 2.02468i | ||||
\(945\) | −27.7794 | + | 13.1645i | −0.903665 | + | 0.428240i | ||||
\(946\) | 7.68996 | + | 23.6673i | 0.250022 | + | 0.769489i | ||||
\(947\) | −2.70117 | + | 2.99995i | −0.0877761 | + | 0.0974852i | −0.785433 | − | 0.618947i | \(-0.787559\pi\) |
0.697657 | + | 0.716432i | \(0.254226\pi\) | |||||||
\(948\) | 100.351 | + | 119.729i | 3.25924 | + | 3.88863i | ||||
\(949\) | −0.0579816 | + | 0.100427i | −0.00188216 | + | 0.00326000i | ||||
\(950\) | 14.5047 | + | 84.7373i | 0.470595 | + | 2.74924i | ||||
\(951\) | 1.13379 | + | 3.96236i | 0.0367656 | + | 0.128488i | ||||
\(952\) | 56.9587 | + | 9.43400i | 1.84604 | + | 0.305758i | ||||
\(953\) | 9.49352 | + | 29.2180i | 0.307525 | + | 0.946465i | 0.978723 | + | 0.205187i | \(0.0657802\pi\) |
−0.671198 | + | 0.741278i | \(0.734220\pi\) | |||||||
\(954\) | −2.84909 | + | 16.0528i | −0.0922426 | + | 0.519728i | ||||
\(955\) | 9.79101 | + | 23.2275i | 0.316830 | + | 0.751626i | ||||
\(956\) | −17.3695 | + | 15.6395i | −0.561768 | + | 0.505818i | ||||
\(957\) | −3.96631 | + | 4.10264i | −0.128213 | + | 0.132619i | ||||
\(958\) | −1.85824 | + | 5.71908i | −0.0600370 | + | 0.184775i | ||||
\(959\) | −7.67797 | − | 3.98064i | −0.247934 | − | 0.128541i | ||||
\(960\) | 30.4564 | + | 115.073i | 0.982976 | + | 3.71396i | ||||
\(961\) | −2.78262 | + | 26.4748i | −0.0897618 | + | 0.854027i | ||||
\(962\) | 51.0701 | − | 5.36768i | 1.64656 | − | 0.173061i | ||||
\(963\) | 15.2420 | + | 19.5540i | 0.491166 | + | 0.630118i | ||||
\(964\) | 14.2190 | + | 1.49448i | 0.457963 | + | 0.0481338i | ||||
\(965\) | −21.7290 | + | 6.58382i | −0.699481 | + | 0.211941i | ||||
\(966\) | 39.8648 | + | 35.1908i | 1.28263 | + | 1.13224i | ||||
\(967\) | −23.6635 | − | 7.68875i | −0.760968 | − | 0.247253i | −0.0972738 | − | 0.995258i | \(-0.531012\pi\) |
−0.663694 | + | 0.748004i | \(0.731012\pi\) | |||||||
\(968\) | 22.0928 | + | 38.2659i | 0.710091 | + | 1.22991i | ||||
\(969\) | −13.2141 | + | 21.1206i | −0.424496 | + | 0.678490i | ||||
\(970\) | −5.57624 | + | 9.22806i | −0.179042 | + | 0.296295i | ||||
\(971\) | 5.92188 | − | 6.57692i | 0.190042 | − | 0.211063i | −0.640592 | − | 0.767881i | \(-0.721311\pi\) |
0.830635 | + | 0.556818i | \(0.187978\pi\) | |||||||
\(972\) | −11.6624 | − | 84.7029i | −0.374070 | − | 2.71685i | ||||
\(973\) | −1.46682 | − | 3.90332i | −0.0470240 | − | 0.125135i | ||||
\(974\) | − | 60.8586i | − | 1.95003i | ||||||
\(975\) | 18.1208 | − | 17.3053i | 0.580330 | − | 0.554212i | ||||
\(976\) | 98.7235 | + | 56.9981i | 3.16006 | + | 1.82446i | ||||
\(977\) | −47.5616 | + | 21.1758i | −1.52163 | + | 0.677474i | −0.985964 | − | 0.166955i | \(-0.946606\pi\) |
−0.535667 | + | 0.844429i | \(0.679940\pi\) | |||||||
\(978\) | 36.7642 | − | 75.2707i | 1.17559 | − | 2.40689i | ||||
\(979\) | −6.68671 | + | 2.17264i | −0.213708 | + | 0.0694380i | ||||
\(980\) | −72.8455 | − | 45.4345i | −2.32696 | − | 1.45135i | ||||
\(981\) | −4.47750 | − | 18.0444i | −0.142955 | − | 0.576112i | ||||
\(982\) | −32.7606 | + | 18.9144i | −1.04543 | + | 0.603582i | ||||
\(983\) | 44.5281 | − | 40.0933i | 1.42023 | − | 1.27878i | 0.512835 | − | 0.858487i | \(-0.328595\pi\) |
0.907390 | − | 0.420290i | \(-0.138072\pi\) | |||||||
\(984\) | −95.7071 | + | 38.6058i | −3.05103 | + | 1.23071i | ||||
\(985\) | −41.1486 | − | 19.3134i | −1.31110 | − | 0.615375i | ||||
\(986\) | 4.22096 | + | 3.06671i | 0.134423 | + | 0.0976639i | ||||
\(987\) | 2.85397 | + | 8.49834i | 0.0908430 | + | 0.270505i | ||||
\(988\) | −58.6226 | − | 80.6871i | −1.86503 | − | 2.56700i | ||||
\(989\) | 9.70344 | + | 1.01987i | 0.308551 | + | 0.0324301i | ||||
\(990\) | −21.4678 | + | 69.3191i | −0.682293 | + | 2.20311i | ||||
\(991\) | 3.36070 | + | 31.9749i | 0.106756 | + | 1.01572i | 0.908454 | + | 0.417986i | \(0.137264\pi\) |
−0.801697 | + | 0.597730i | \(0.796069\pi\) | |||||||
\(992\) | 9.69540 | + | 45.6133i | 0.307829 | + | 1.44822i | ||||
\(993\) | 13.3545 | + | 46.6714i | 0.423793 | + | 1.48107i | ||||
\(994\) | 30.8764 | + | 12.1031i | 0.979340 | + | 0.383887i | ||||
\(995\) | −40.3029 | + | 12.2117i | −1.27769 | + | 0.387136i | ||||
\(996\) | 22.0343 | − | 45.1129i | 0.698184 | − | 1.42946i | ||||
\(997\) | 39.5363 | + | 8.40370i | 1.25213 | + | 0.266148i | 0.785809 | − | 0.618469i | \(-0.212247\pi\) |
0.466318 | + | 0.884617i | \(0.345580\pi\) | |||||||
\(998\) | 31.6556 | − | 14.0940i | 1.00204 | − | 0.446137i | ||||
\(999\) | −32.9606 | − | 7.06392i | −1.04283 | − | 0.223493i |
(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 | 525.2.bp.a.59.2 | ✓ | 608 | |
3.2 | odd | 2 | inner | 525.2.bp.a.59.75 | yes | 608 | |
7.5 | odd | 6 | inner | 525.2.bp.a.509.75 | yes | 608 | |
21.5 | even | 6 | inner | 525.2.bp.a.509.2 | yes | 608 | |
25.14 | even | 10 | inner | 525.2.bp.a.164.2 | yes | 608 | |
75.14 | odd | 10 | inner | 525.2.bp.a.164.75 | yes | 608 | |
175.89 | odd | 30 | inner | 525.2.bp.a.89.75 | yes | 608 | |
525.89 | even | 30 | inner | 525.2.bp.a.89.2 | yes | 608 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bp.a.59.2 | ✓ | 608 | 1.1 | even | 1 | trivial | |
525.2.bp.a.59.75 | yes | 608 | 3.2 | odd | 2 | inner | |
525.2.bp.a.89.2 | yes | 608 | 525.89 | even | 30 | inner | |
525.2.bp.a.89.75 | yes | 608 | 175.89 | odd | 30 | inner | |
525.2.bp.a.164.2 | yes | 608 | 25.14 | even | 10 | inner | |
525.2.bp.a.164.75 | yes | 608 | 75.14 | odd | 10 | inner | |
525.2.bp.a.509.2 | yes | 608 | 21.5 | even | 6 | inner | |
525.2.bp.a.509.75 | yes | 608 | 7.5 | odd | 6 | inner |