Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(484,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.484");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.n (of order \(6\), degree \(2\), not 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: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 8.0.49787136.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 3x^{6} + 5x^{4} + 12x^{2} + 16 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 484.3 | ||
Root | \(0.228425 - 1.39564i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.484 |
Dual form | 845.2.n.c.529.3 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.395644 | − | 0.228425i | 0.279763 | − | 0.161521i | −0.353553 | − | 0.935414i | \(-0.615027\pi\) |
0.633316 | + | 0.773893i | \(0.281693\pi\) | |||||||
\(3\) | −0.866025 | + | 0.500000i | −0.500000 | + | 0.288675i | −0.728714 | − | 0.684819i | \(-0.759881\pi\) |
0.228714 | + | 0.973494i | \(0.426548\pi\) | |||||||
\(4\) | −0.895644 | + | 1.55130i | −0.447822 | + | 0.775650i | ||||
\(5\) | −0.456850 | + | 2.18890i | −0.204310 | + | 0.978906i | ||||
\(6\) | −0.228425 | + | 0.395644i | −0.0932542 | + | 0.161521i | ||||
\(7\) | −1.50000 | − | 0.866025i | −0.566947 | − | 0.327327i | 0.188982 | − | 0.981981i | \(-0.439481\pi\) |
−0.755929 | + | 0.654654i | \(0.772814\pi\) | |||||||
\(8\) | 1.73205i | 0.612372i | ||||||||
\(9\) | −1.00000 | + | 1.73205i | −0.333333 | + | 0.577350i | ||||
\(10\) | 0.319250 | + | 0.970381i | 0.100956 | + | 0.306862i | ||||
\(11\) | 1.32288 | + | 2.29129i | 0.398862 | + | 0.690849i | 0.993586 | − | 0.113081i | \(-0.0360719\pi\) |
−0.594724 | + | 0.803930i | \(0.702739\pi\) | |||||||
\(12\) | − | 1.79129i | − | 0.517100i | ||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | −0.791288 | −0.211481 | ||||||||
\(15\) | −0.698807 | − | 2.12407i | −0.180431 | − | 0.548432i | ||||
\(16\) | −1.39564 | − | 2.41733i | −0.348911 | − | 0.604332i | ||||
\(17\) | −3.96863 | − | 2.29129i | −0.962533 | − | 0.555719i | −0.0655816 | − | 0.997847i | \(-0.520890\pi\) |
−0.896952 | + | 0.442128i | \(0.854224\pi\) | |||||||
\(18\) | 0.913701i | 0.215361i | ||||||||
\(19\) | 0.866025 | − | 1.50000i | 0.198680 | − | 0.344124i | −0.749421 | − | 0.662094i | \(-0.769668\pi\) |
0.948101 | + | 0.317970i | \(0.103001\pi\) | |||||||
\(20\) | −2.98647 | − | 2.66919i | −0.667795 | − | 0.596849i | ||||
\(21\) | 1.73205 | 0.377964 | ||||||||
\(22\) | 1.04678 | + | 0.604356i | 0.223173 | + | 0.128849i | ||||
\(23\) | 3.96863 | − | 2.29129i | 0.827516 | − | 0.477767i | −0.0254855 | − | 0.999675i | \(-0.508113\pi\) |
0.853001 | + | 0.521909i | \(0.174780\pi\) | |||||||
\(24\) | −0.866025 | − | 1.50000i | −0.176777 | − | 0.306186i | ||||
\(25\) | −4.58258 | − | 2.00000i | −0.916515 | − | 0.400000i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | − | 5.00000i | − | 0.962250i | ||||||
\(28\) | 2.68693 | − | 1.55130i | 0.507782 | − | 0.293168i | ||||
\(29\) | 2.29129 | + | 3.96863i | 0.425481 | + | 0.736956i | 0.996465 | − | 0.0840058i | \(-0.0267714\pi\) |
−0.570984 | + | 0.820961i | \(0.693438\pi\) | |||||||
\(30\) | −0.761669 | − | 0.680750i | −0.139061 | − | 0.124287i | ||||
\(31\) | 6.20520 | 1.11449 | 0.557244 | − | 0.830349i | \(-0.311859\pi\) | ||||
0.557244 | + | 0.830349i | \(0.311859\pi\) | |||||||
\(32\) | −4.10436 | − | 2.36965i | −0.725555 | − | 0.418899i | ||||
\(33\) | −2.29129 | − | 1.32288i | −0.398862 | − | 0.230283i | ||||
\(34\) | −2.09355 | −0.359041 | ||||||||
\(35\) | 2.58092 | − | 2.88771i | 0.436255 | − | 0.488112i | ||||
\(36\) | −1.79129 | − | 3.10260i | −0.298548 | − | 0.517100i | ||||
\(37\) | −6.87386 | + | 3.96863i | −1.13006 | + | 0.652438i | −0.943949 | − | 0.330091i | \(-0.892920\pi\) |
−0.186107 | + | 0.982529i | \(0.559587\pi\) | |||||||
\(38\) | − | 0.791288i | − | 0.128364i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.79129 | − | 0.791288i | −0.599455 | − | 0.125114i | ||||
\(41\) | 1.32288 | + | 2.29129i | 0.206598 | + | 0.357839i | 0.950641 | − | 0.310293i | \(-0.100427\pi\) |
−0.744042 | + | 0.668132i | \(0.767094\pi\) | |||||||
\(42\) | 0.685275 | − | 0.395644i | 0.105740 | − | 0.0610492i | ||||
\(43\) | −9.16478 | − | 5.29129i | −1.39762 | − | 0.806914i | −0.403473 | − | 0.914991i | \(-0.632197\pi\) |
−0.994142 | + | 0.108078i | \(0.965531\pi\) | |||||||
\(44\) | −4.73930 | −0.714477 | ||||||||
\(45\) | −3.33444 | − | 2.98019i | −0.497069 | − | 0.444260i | ||||
\(46\) | 1.04678 | − | 1.81307i | 0.154339 | − | 0.267322i | ||||
\(47\) | 1.82740i | 0.266554i | 0.991079 | + | 0.133277i | \(0.0425500\pi\) | ||||
−0.991079 | + | 0.133277i | \(0.957450\pi\) | |||||||
\(48\) | 2.41733 | + | 1.39564i | 0.348911 | + | 0.201444i | ||||
\(49\) | −2.00000 | − | 3.46410i | −0.285714 | − | 0.494872i | ||||
\(50\) | −2.26992 | + | 0.255488i | −0.321015 | + | 0.0361314i | ||||
\(51\) | 4.58258 | 0.641689 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 7.58258i | − | 1.04155i | −0.853695 | − | 0.520773i | \(-0.825644\pi\) | ||
0.853695 | − | 0.520773i | \(-0.174356\pi\) | |||||||
\(54\) | −1.14213 | − | 1.97822i | −0.155424 | − | 0.269202i | ||||
\(55\) | −5.61976 | + | 1.84887i | −0.757768 | + | 0.249301i | ||||
\(56\) | 1.50000 | − | 2.59808i | 0.200446 | − | 0.347183i | ||||
\(57\) | 1.73205i | 0.229416i | ||||||||
\(58\) | 1.81307 | + | 1.04678i | 0.238068 | + | 0.137448i | ||||
\(59\) | −6.97588 | + | 12.0826i | −0.908182 | + | 1.57302i | −0.0915940 | + | 0.995796i | \(0.529196\pi\) |
−0.816588 | + | 0.577221i | \(0.804137\pi\) | |||||||
\(60\) | 3.92095 | + | 0.818350i | 0.506193 | + | 0.105649i | ||||
\(61\) | 0.708712 | − | 1.22753i | 0.0907413 | − | 0.157169i | −0.817082 | − | 0.576522i | \(-0.804410\pi\) |
0.907823 | + | 0.419353i | \(0.137743\pi\) | |||||||
\(62\) | 2.45505 | − | 1.41742i | 0.311792 | − | 0.180013i | ||||
\(63\) | 3.00000 | − | 1.73205i | 0.377964 | − | 0.218218i | ||||
\(64\) | 3.41742 | 0.427178 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −1.20871 | −0.148782 | ||||||||
\(67\) | −0.873864 | + | 0.504525i | −0.106759 | + | 0.0616376i | −0.552429 | − | 0.833560i | \(-0.686299\pi\) |
0.445670 | + | 0.895198i | \(0.352966\pi\) | |||||||
\(68\) | 7.10895 | − | 4.10436i | 0.862087 | − | 0.497726i | ||||
\(69\) | −2.29129 | + | 3.96863i | −0.275839 | + | 0.477767i | ||||
\(70\) | 0.361500 | − | 1.73205i | 0.0432075 | − | 0.207020i | ||||
\(71\) | −3.51178 | + | 6.08258i | −0.416771 | + | 0.721869i | −0.995613 | − | 0.0935712i | \(-0.970172\pi\) |
0.578841 | + | 0.815440i | \(0.303505\pi\) | |||||||
\(72\) | −3.00000 | − | 1.73205i | −0.353553 | − | 0.204124i | ||||
\(73\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(74\) | −1.81307 | + | 3.14033i | −0.210765 | + | 0.365056i | ||||
\(75\) | 4.96863 | − | 0.559237i | 0.573728 | − | 0.0645751i | ||||
\(76\) | 1.55130 | + | 2.68693i | 0.177946 | + | 0.308212i | ||||
\(77\) | − | 4.58258i | − | 0.522233i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.00000 | 0.675053 | 0.337526 | − | 0.941316i | \(-0.390410\pi\) | ||||
0.337526 | + | 0.941316i | \(0.390410\pi\) | |||||||
\(80\) | 5.92889 | − | 1.95057i | 0.662870 | − | 0.218080i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 1.04678 | + | 0.604356i | 0.115597 | + | 0.0667400i | ||||
\(83\) | 6.01450i | 0.660177i | 0.943950 | + | 0.330089i | \(0.107079\pi\) | ||||
−0.943950 | + | 0.330089i | \(0.892921\pi\) | |||||||
\(84\) | −1.55130 | + | 2.68693i | −0.169261 | + | 0.293168i | ||||
\(85\) | 6.82847 | − | 7.64016i | 0.740652 | − | 0.828691i | ||||
\(86\) | −4.83465 | −0.521334 | ||||||||
\(87\) | −3.96863 | − | 2.29129i | −0.425481 | − | 0.245652i | ||||
\(88\) | −3.96863 | + | 2.29129i | −0.423057 | + | 0.244252i | ||||
\(89\) | −4.78698 | − | 8.29129i | −0.507419 | − | 0.878875i | −0.999963 | − | 0.00858752i | \(-0.997266\pi\) |
0.492545 | − | 0.870287i | \(-0.336067\pi\) | |||||||
\(90\) | −2.00000 | − | 0.417424i | −0.210819 | − | 0.0440004i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 8.20871i | 0.855817i | ||||||||
\(93\) | −5.37386 | + | 3.10260i | −0.557244 | + | 0.321725i | ||||
\(94\) | 0.417424 | + | 0.723000i | 0.0430540 | + | 0.0745718i | ||||
\(95\) | 2.88771 | + | 2.58092i | 0.296273 | + | 0.264797i | ||||
\(96\) | 4.73930 | 0.483703 | ||||||||
\(97\) | 9.87386 | + | 5.70068i | 1.00254 | + | 0.578816i | 0.908999 | − | 0.416799i | \(-0.136848\pi\) |
0.0935404 | + | 0.995615i | \(0.470182\pi\) | |||||||
\(98\) | −1.58258 | − | 0.913701i | −0.159864 | − | 0.0922977i | ||||
\(99\) | −5.29150 | −0.531816 | ||||||||
\(100\) | 7.20696 | − | 5.31767i | 0.720696 | − | 0.531767i | ||||
\(101\) | 4.50000 | + | 7.79423i | 0.447767 | + | 0.775555i | 0.998240 | − | 0.0592978i | \(-0.0188862\pi\) |
−0.550474 | + | 0.834853i | \(0.685553\pi\) | |||||||
\(102\) | 1.81307 | − | 1.04678i | 0.179521 | − | 0.103646i | ||||
\(103\) | 3.16515i | 0.311872i | 0.987767 | + | 0.155936i | \(0.0498393\pi\) | ||||
−0.987767 | + | 0.155936i | \(0.950161\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.791288 | + | 3.79129i | −0.0772218 | + | 0.369992i | ||||
\(106\) | −1.73205 | − | 3.00000i | −0.168232 | − | 0.291386i | ||||
\(107\) | −9.16478 | + | 5.29129i | −0.885993 | + | 0.511528i | −0.872630 | − | 0.488383i | \(-0.837587\pi\) |
−0.0133631 | + | 0.999911i | \(0.504254\pi\) | |||||||
\(108\) | 7.75650 | + | 4.47822i | 0.746370 | + | 0.430917i | ||||
\(109\) | −13.1334 | −1.25795 | −0.628976 | − | 0.777425i | \(-0.716526\pi\) | ||||
−0.628976 | + | 0.777425i | \(0.716526\pi\) | |||||||
\(110\) | −1.80110 | + | 2.01519i | −0.171728 | + | 0.192141i | ||||
\(111\) | 3.96863 | − | 6.87386i | 0.376685 | − | 0.652438i | ||||
\(112\) | 4.83465i | 0.456832i | ||||||||
\(113\) | −6.42368 | − | 3.70871i | −0.604289 | − | 0.348886i | 0.166438 | − | 0.986052i | \(-0.446773\pi\) |
−0.770727 | + | 0.637166i | \(0.780107\pi\) | |||||||
\(114\) | 0.395644 | + | 0.685275i | 0.0370554 | + | 0.0641819i | ||||
\(115\) | 3.20233 | + | 9.73371i | 0.298619 | + | 0.907673i | ||||
\(116\) | −8.20871 | −0.762160 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 6.37386i | 0.586762i | ||||||||
\(119\) | 3.96863 | + | 6.87386i | 0.363803 | + | 0.630126i | ||||
\(120\) | 3.67900 | − | 1.21037i | 0.335845 | − | 0.110491i | ||||
\(121\) | 2.00000 | − | 3.46410i | 0.181818 | − | 0.314918i | ||||
\(122\) | − | 0.647551i | − | 0.0586265i | ||||||
\(123\) | −2.29129 | − | 1.32288i | −0.206598 | − | 0.119280i | ||||
\(124\) | −5.55765 | + | 9.62614i | −0.499092 | + | 0.864453i | ||||
\(125\) | 6.47135 | − | 9.11710i | 0.578815 | − | 0.815459i | ||||
\(126\) | 0.791288 | − | 1.37055i | 0.0704935 | − | 0.122098i | ||||
\(127\) | −15.3700 | + | 8.87386i | −1.36387 | + | 0.787428i | −0.990136 | − | 0.140110i | \(-0.955254\pi\) |
−0.373729 | + | 0.927538i | \(0.621921\pi\) | |||||||
\(128\) | 9.56080 | − | 5.51993i | 0.845063 | − | 0.487897i | ||||
\(129\) | 10.5826 | 0.931744 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.58258 | −0.662493 | −0.331246 | − | 0.943544i | \(-0.607469\pi\) | ||||
−0.331246 | + | 0.943544i | \(0.607469\pi\) | |||||||
\(132\) | 4.10436 | − | 2.36965i | 0.357238 | − | 0.206252i | ||||
\(133\) | −2.59808 | + | 1.50000i | −0.225282 | + | 0.130066i | ||||
\(134\) | −0.230493 | + | 0.399225i | −0.0199115 | + | 0.0344878i | ||||
\(135\) | 10.9445 | + | 2.28425i | 0.941953 | + | 0.196597i | ||||
\(136\) | 3.96863 | − | 6.87386i | 0.340307 | − | 0.589429i | ||||
\(137\) | 9.08258 | + | 5.24383i | 0.775977 | + | 0.448010i | 0.835003 | − | 0.550246i | \(-0.185466\pi\) |
−0.0590258 | + | 0.998256i | \(0.518799\pi\) | |||||||
\(138\) | 2.09355i | 0.178215i | ||||||||
\(139\) | −10.8739 | + | 18.8341i | −0.922309 | + | 1.59749i | −0.126476 | + | 0.991970i | \(0.540367\pi\) |
−0.795833 | + | 0.605517i | \(0.792967\pi\) | |||||||
\(140\) | 2.16812 | + | 6.59014i | 0.183239 | + | 0.556968i | ||||
\(141\) | −0.913701 | − | 1.58258i | −0.0769475 | − | 0.133277i | ||||
\(142\) | 3.20871i | 0.269269i | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 5.58258 | 0.465215 | ||||||||
\(145\) | −9.73371 | + | 3.20233i | −0.808340 | + | 0.265939i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.46410 | + | 2.00000i | 0.285714 | + | 0.164957i | ||||
\(148\) | − | 14.2179i | − | 1.16870i | ||||||
\(149\) | 8.34643 | − | 14.4564i | 0.683766 | − | 1.18432i | −0.290057 | − | 0.957009i | \(-0.593674\pi\) |
0.973823 | − | 0.227308i | \(-0.0729925\pi\) | |||||||
\(150\) | 1.83806 | − | 1.35622i | 0.150077 | − | 0.110735i | ||||
\(151\) | 9.66930 | 0.786877 | 0.393438 | − | 0.919351i | \(-0.371285\pi\) | ||||
0.393438 | + | 0.919351i | \(0.371285\pi\) | |||||||
\(152\) | 2.59808 | + | 1.50000i | 0.210732 | + | 0.121666i | ||||
\(153\) | 7.93725 | − | 4.58258i | 0.641689 | − | 0.370479i | ||||
\(154\) | −1.04678 | − | 1.81307i | −0.0843516 | − | 0.146101i | ||||
\(155\) | −2.83485 | + | 13.5826i | −0.227701 | + | 1.09098i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.16515i | 0.731459i | 0.930721 | + | 0.365729i | \(0.119180\pi\) | ||||
−0.930721 | + | 0.365729i | \(0.880820\pi\) | |||||||
\(158\) | 2.37386 | − | 1.37055i | 0.188854 | − | 0.109035i | ||||
\(159\) | 3.79129 | + | 6.56670i | 0.300669 | + | 0.520773i | ||||
\(160\) | 7.06201 | − | 7.90145i | 0.558301 | − | 0.624665i | ||||
\(161\) | −7.93725 | −0.625543 | ||||||||
\(162\) | −0.395644 | − | 0.228425i | −0.0310847 | − | 0.0179468i | ||||
\(163\) | 18.2477 | + | 10.5353i | 1.42927 | + | 0.825191i | 0.997063 | − | 0.0765827i | \(-0.0244009\pi\) |
0.432209 | + | 0.901773i | \(0.357734\pi\) | |||||||
\(164\) | −4.73930 | −0.370077 | ||||||||
\(165\) | 3.94242 | − | 4.41105i | 0.306917 | − | 0.343399i | ||||
\(166\) | 1.37386 | + | 2.37960i | 0.106632 | + | 0.184693i | ||||
\(167\) | 8.29129 | − | 4.78698i | 0.641599 | − | 0.370427i | −0.143631 | − | 0.989631i | \(-0.545878\pi\) |
0.785230 | + | 0.619204i | \(0.212545\pi\) | |||||||
\(168\) | 3.00000i | 0.231455i | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 0.956439 | − | 4.58258i | 0.0733555 | − | 0.351468i | ||||
\(171\) | 1.73205 | + | 3.00000i | 0.132453 | + | 0.229416i | ||||
\(172\) | 16.4168 | − | 9.47822i | 1.25177 | − | 0.722707i | ||||
\(173\) | 14.3609 | + | 8.29129i | 1.09184 | + | 0.630375i | 0.934066 | − | 0.357100i | \(-0.116234\pi\) |
0.157775 | + | 0.987475i | \(0.449568\pi\) | |||||||
\(174\) | −2.09355 | −0.158712 | ||||||||
\(175\) | 5.14181 | + | 6.96863i | 0.388685 | + | 0.526779i | ||||
\(176\) | 3.69253 | − | 6.39564i | 0.278335 | − | 0.482090i | ||||
\(177\) | − | 13.9518i | − | 1.04868i | ||||||
\(178\) | −3.78788 | − | 2.18693i | −0.283913 | − | 0.163917i | ||||
\(179\) | −9.08258 | − | 15.7315i | −0.678864 | − | 1.17583i | −0.975323 | − | 0.220781i | \(-0.929139\pi\) |
0.296460 | − | 0.955045i | \(-0.404194\pi\) | |||||||
\(180\) | 7.60964 | − | 2.50353i | 0.567189 | − | 0.186602i | ||||
\(181\) | −8.74773 | −0.650213 | −0.325107 | − | 0.945677i | \(-0.605400\pi\) | ||||
−0.325107 | + | 0.945677i | \(0.605400\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.41742i | 0.104779i | ||||||||
\(184\) | 3.96863 | + | 6.87386i | 0.292571 | + | 0.506748i | ||||
\(185\) | −5.54661 | − | 16.8593i | −0.407795 | − | 1.23952i | ||||
\(186\) | −1.41742 | + | 2.45505i | −0.103931 | + | 0.180013i | ||||
\(187\) | − | 12.1244i | − | 0.886621i | ||||||
\(188\) | −2.83485 | − | 1.63670i | −0.206753 | − | 0.119369i | ||||
\(189\) | −4.33013 | + | 7.50000i | −0.314970 | + | 0.545545i | ||||
\(190\) | 1.73205 | + | 0.361500i | 0.125656 | + | 0.0262260i | ||||
\(191\) | 8.29129 | − | 14.3609i | 0.599937 | − | 1.03912i | −0.392893 | − | 0.919584i | \(-0.628526\pi\) |
0.992830 | − | 0.119536i | \(-0.0381408\pi\) | |||||||
\(192\) | −2.95958 | + | 1.70871i | −0.213589 | + | 0.123316i | ||||
\(193\) | −12.8739 | + | 7.43273i | −0.926681 | + | 0.535020i | −0.885760 | − | 0.464143i | \(-0.846362\pi\) |
−0.0409206 | + | 0.999162i | \(0.513029\pi\) | |||||||
\(194\) | 5.20871 | 0.373964 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.16515 | 0.511797 | ||||||||
\(197\) | −12.7087 | + | 7.33738i | −0.905458 | + | 0.522767i | −0.878967 | − | 0.476882i | \(-0.841767\pi\) |
−0.0264912 | + | 0.999649i | \(0.508433\pi\) | |||||||
\(198\) | −2.09355 | + | 1.20871i | −0.148782 | + | 0.0858994i | ||||
\(199\) | −5.29129 | + | 9.16478i | −0.375089 | + | 0.649674i | −0.990340 | − | 0.138657i | \(-0.955721\pi\) |
0.615251 | + | 0.788331i | \(0.289055\pi\) | |||||||
\(200\) | 3.46410 | − | 7.93725i | 0.244949 | − | 0.561249i | ||||
\(201\) | 0.504525 | − | 0.873864i | 0.0355865 | − | 0.0616376i | ||||
\(202\) | 3.56080 | + | 2.05583i | 0.250537 | + | 0.144647i | ||||
\(203\) | − | 7.93725i | − | 0.557086i | ||||||
\(204\) | −4.10436 | + | 7.10895i | −0.287362 | + | 0.497726i | ||||
\(205\) | −5.61976 | + | 1.84887i | −0.392501 | + | 0.129131i | ||||
\(206\) | 0.723000 | + | 1.25227i | 0.0503738 | + | 0.0872500i | ||||
\(207\) | 9.16515i | 0.637022i | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 4.58258 | 0.316983 | ||||||||
\(210\) | 0.552957 | + | 1.68075i | 0.0381577 | + | 0.115983i | ||||
\(211\) | 0.0825757 | + | 0.143025i | 0.00568475 | + | 0.00984627i | 0.868854 | − | 0.495069i | \(-0.164857\pi\) |
−0.863169 | + | 0.504915i | \(0.831524\pi\) | |||||||
\(212\) | 11.7629 | + | 6.79129i | 0.807876 | + | 0.466428i | ||||
\(213\) | − | 7.02355i | − | 0.481246i | ||||||
\(214\) | −2.41733 | + | 4.18693i | −0.165245 | + | 0.286213i | ||||
\(215\) | 15.7690 | − | 17.6435i | 1.07544 | − | 1.20327i | ||||
\(216\) | 8.66025 | 0.589256 | ||||||||
\(217\) | −9.30780 | − | 5.37386i | −0.631855 | − | 0.364802i | ||||
\(218\) | −5.19615 | + | 3.00000i | −0.351928 | + | 0.203186i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.16515 | − | 10.3739i | 0.145974 | − | 0.699406i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | − | 3.62614i | − | 0.243370i | ||||||
\(223\) | −7.50000 | + | 4.33013i | −0.502237 | + | 0.289967i | −0.729637 | − | 0.683835i | \(-0.760311\pi\) |
0.227400 | + | 0.973801i | \(0.426978\pi\) | |||||||
\(224\) | 4.10436 | + | 7.10895i | 0.274234 | + | 0.474987i | ||||
\(225\) | 8.04668 | − | 5.93725i | 0.536445 | − | 0.395817i | ||||
\(226\) | −3.38865 | −0.225410 | ||||||||
\(227\) | −0.708712 | − | 0.409175i | −0.0470389 | − | 0.0271579i | 0.476296 | − | 0.879285i | \(-0.341979\pi\) |
−0.523335 | + | 0.852127i | \(0.675312\pi\) | |||||||
\(228\) | −2.68693 | − | 1.55130i | −0.177946 | − | 0.102737i | ||||
\(229\) | −26.2668 | −1.73576 | −0.867880 | − | 0.496774i | \(-0.834518\pi\) | ||||
−0.867880 | + | 0.496774i | \(0.834518\pi\) | |||||||
\(230\) | 3.49041 | + | 3.11959i | 0.230151 | + | 0.205700i | ||||
\(231\) | 2.29129 | + | 3.96863i | 0.150756 | + | 0.261116i | ||||
\(232\) | −6.87386 | + | 3.96863i | −0.451291 | + | 0.260553i | ||||
\(233\) | 2.83485i | 0.185717i | 0.995679 | + | 0.0928586i | \(0.0296004\pi\) | ||||
−0.995679 | + | 0.0928586i | \(0.970400\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.00000 | − | 0.834849i | −0.260931 | − | 0.0544595i | ||||
\(236\) | −12.4958 | − | 21.6434i | −0.813408 | − | 1.40886i | ||||
\(237\) | −5.19615 | + | 3.00000i | −0.337526 | + | 0.194871i | ||||
\(238\) | 3.14033 | + | 1.81307i | 0.203557 | + | 0.117524i | ||||
\(239\) | 0.190700 | 0.0123354 | 0.00616769 | − | 0.999981i | \(-0.498037\pi\) | ||||
0.00616769 | + | 0.999981i | \(0.498037\pi\) | |||||||
\(240\) | −4.15928 | + | 4.65369i | −0.268481 | + | 0.300394i | ||||
\(241\) | −0.866025 | + | 1.50000i | −0.0557856 | + | 0.0966235i | −0.892570 | − | 0.450910i | \(-0.851100\pi\) |
0.836784 | + | 0.547533i | \(0.184433\pi\) | |||||||
\(242\) | − | 1.82740i | − | 0.117470i | ||||||
\(243\) | 13.8564 | + | 8.00000i | 0.888889 | + | 0.513200i | ||||
\(244\) | 1.26951 | + | 2.19885i | 0.0812719 | + | 0.140767i | ||||
\(245\) | 8.49628 | − | 2.79523i | 0.542807 | − | 0.178580i | ||||
\(246\) | −1.20871 | −0.0770647 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 10.7477i | 0.682481i | ||||||||
\(249\) | −3.00725 | − | 5.20871i | −0.190577 | − | 0.330089i | ||||
\(250\) | 0.477776 | − | 5.08535i | 0.0302172 | − | 0.321626i | ||||
\(251\) | −0.0825757 | + | 0.143025i | −0.00521213 | + | 0.00902768i | −0.868620 | − | 0.495479i | \(-0.834992\pi\) |
0.863408 | + | 0.504507i | \(0.168326\pi\) | |||||||
\(252\) | 6.20520i | 0.390891i | ||||||||
\(253\) | 10.5000 | + | 6.06218i | 0.660129 | + | 0.381126i | ||||
\(254\) | −4.05403 | + | 7.02178i | −0.254372 | + | 0.440586i | ||||
\(255\) | −2.09355 | + | 10.0308i | −0.131103 | + | 0.628153i | ||||
\(256\) | −0.895644 | + | 1.55130i | −0.0559777 | + | 0.0969563i | ||||
\(257\) | 15.7315 | − | 9.08258i | 0.981303 | − | 0.566556i | 0.0786397 | − | 0.996903i | \(-0.474942\pi\) |
0.902663 | + | 0.430348i | \(0.141609\pi\) | |||||||
\(258\) | 4.18693 | − | 2.41733i | 0.260667 | − | 0.150496i | ||||
\(259\) | 13.7477 | 0.854242 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −9.16515 | −0.567309 | ||||||||
\(262\) | −3.00000 | + | 1.73205i | −0.185341 | + | 0.107006i | ||||
\(263\) | −7.79423 | + | 4.50000i | −0.480613 | + | 0.277482i | −0.720672 | − | 0.693276i | \(-0.756167\pi\) |
0.240059 | + | 0.970758i | \(0.422833\pi\) | |||||||
\(264\) | 2.29129 | − | 3.96863i | 0.141019 | − | 0.244252i | ||||
\(265\) | 16.5975 | + | 3.46410i | 1.01958 | + | 0.212798i | ||||
\(266\) | −0.685275 | + | 1.18693i | −0.0420169 | + | 0.0727755i | ||||
\(267\) | 8.29129 | + | 4.78698i | 0.507419 | + | 0.292958i | ||||
\(268\) | − | 1.80750i | − | 0.110411i | ||||||
\(269\) | −7.50000 | + | 12.9904i | −0.457283 | + | 0.792038i | −0.998816 | − | 0.0486418i | \(-0.984511\pi\) |
0.541533 | + | 0.840679i | \(0.317844\pi\) | |||||||
\(270\) | 4.85191 | − | 1.59625i | 0.295278 | − | 0.0971447i | ||||
\(271\) | −4.33013 | − | 7.50000i | −0.263036 | − | 0.455593i | 0.704011 | − | 0.710189i | \(-0.251391\pi\) |
−0.967047 | + | 0.254597i | \(0.918057\pi\) | |||||||
\(272\) | 12.7913i | 0.775586i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.79129 | 0.289452 | ||||||||
\(275\) | −1.47960 | − | 13.1458i | −0.0892234 | − | 0.792719i | ||||
\(276\) | −4.10436 | − | 7.10895i | −0.247053 | − | 0.427909i | ||||
\(277\) | −6.42368 | − | 3.70871i | −0.385961 | − | 0.222835i | 0.294447 | − | 0.955668i | \(-0.404864\pi\) |
−0.680409 | + | 0.732833i | \(0.738198\pi\) | |||||||
\(278\) | 9.93545i | 0.595889i | ||||||||
\(279\) | −6.20520 | + | 10.7477i | −0.371496 | + | 0.643450i | ||||
\(280\) | 5.00166 | + | 4.47028i | 0.298906 | + | 0.267151i | ||||
\(281\) | −3.65480 | −0.218027 | −0.109014 | − | 0.994040i | \(-0.534769\pi\) | ||||
−0.109014 | + | 0.994040i | \(0.534769\pi\) | |||||||
\(282\) | −0.723000 | − | 0.417424i | −0.0430540 | − | 0.0248573i | ||||
\(283\) | −24.0302 | + | 13.8739i | −1.42845 | + | 0.824716i | −0.996998 | − | 0.0774209i | \(-0.975331\pi\) |
−0.431451 | + | 0.902136i | \(0.641998\pi\) | |||||||
\(284\) | −6.29060 | − | 10.8956i | −0.373279 | − | 0.646538i | ||||
\(285\) | −3.79129 | − | 0.791288i | −0.224577 | − | 0.0468718i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 4.58258i | − | 0.270501i | ||||||
\(288\) | 8.20871 | − | 4.73930i | 0.483703 | − | 0.279266i | ||||
\(289\) | 2.00000 | + | 3.46410i | 0.117647 | + | 0.203771i | ||||
\(290\) | −3.11959 | + | 3.49041i | −0.183189 | + | 0.204964i | ||||
\(291\) | −11.4014 | −0.668359 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −15.7087 | − | 9.06943i | −0.917713 | − | 0.529842i | −0.0348081 | − | 0.999394i | \(-0.511082\pi\) |
−0.882905 | + | 0.469552i | \(0.844415\pi\) | |||||||
\(294\) | 1.82740 | 0.106576 | ||||||||
\(295\) | −23.2606 | − | 20.7894i | −1.35429 | − | 1.21041i | ||||
\(296\) | −6.87386 | − | 11.9059i | −0.399535 | − | 0.692015i | ||||
\(297\) | 11.4564 | − | 6.61438i | 0.664770 | − | 0.383805i | ||||
\(298\) | − | 7.62614i | − | 0.441770i | ||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −3.58258 | + | 8.20871i | −0.206840 | + | 0.473930i | ||||
\(301\) | 9.16478 | + | 15.8739i | 0.528249 | + | 0.914954i | ||||
\(302\) | 3.82560 | − | 2.20871i | 0.220139 | − | 0.127097i | ||||
\(303\) | −7.79423 | − | 4.50000i | −0.447767 | − | 0.258518i | ||||
\(304\) | −4.83465 | −0.277286 | ||||||||
\(305\) | 2.36316 | + | 2.11210i | 0.135314 | + | 0.120938i | ||||
\(306\) | 2.09355 | − | 3.62614i | 0.119680 | − | 0.207292i | ||||
\(307\) | 24.2487i | 1.38395i | 0.721923 | + | 0.691974i | \(0.243259\pi\) | ||||
−0.721923 | + | 0.691974i | \(0.756741\pi\) | |||||||
\(308\) | 7.10895 | + | 4.10436i | 0.405070 | + | 0.233867i | ||||
\(309\) | −1.58258 | − | 2.74110i | −0.0900296 | − | 0.155936i | ||||
\(310\) | 1.98101 | + | 6.02141i | 0.112514 | + | 0.341993i | ||||
\(311\) | −7.58258 | −0.429968 | −0.214984 | − | 0.976618i | \(-0.568970\pi\) | ||||
−0.214984 | + | 0.976618i | \(0.568970\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.25227i | 0.183829i | 0.995767 | + | 0.0919147i | \(0.0292987\pi\) | ||||
−0.995767 | + | 0.0919147i | \(0.970701\pi\) | |||||||
\(314\) | 2.09355 | + | 3.62614i | 0.118146 | + | 0.204635i | ||||
\(315\) | 2.42074 | + | 7.35799i | 0.136393 | + | 0.414576i | ||||
\(316\) | −5.37386 | + | 9.30780i | −0.302303 | + | 0.523605i | ||||
\(317\) | 0.190700i | 0.0107108i | 0.999986 | + | 0.00535540i | \(0.00170469\pi\) | ||||
−0.999986 | + | 0.00535540i | \(0.998295\pi\) | |||||||
\(318\) | 3.00000 | + | 1.73205i | 0.168232 | + | 0.0971286i | ||||
\(319\) | −6.06218 | + | 10.5000i | −0.339417 | + | 0.587887i | ||||
\(320\) | −1.56125 | + | 7.48040i | −0.0872766 | + | 0.418167i | ||||
\(321\) | 5.29129 | − | 9.16478i | 0.295331 | − | 0.511528i | ||||
\(322\) | −3.14033 | + | 1.81307i | −0.175004 | + | 0.101038i | ||||
\(323\) | −6.87386 | + | 3.96863i | −0.382472 | + | 0.220820i | ||||
\(324\) | 1.79129 | 0.0995160 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 9.62614 | 0.533142 | ||||||||
\(327\) | 11.3739 | − | 6.56670i | 0.628976 | − | 0.363140i | ||||
\(328\) | −3.96863 | + | 2.29129i | −0.219131 | + | 0.126515i | ||||
\(329\) | 1.58258 | − | 2.74110i | 0.0872502 | − | 0.151122i | ||||
\(330\) | 0.552200 | − | 2.64575i | 0.0303976 | − | 0.145644i | ||||
\(331\) | 2.23658 | − | 3.87386i | 0.122933 | − | 0.212927i | −0.797990 | − | 0.602671i | \(-0.794103\pi\) |
0.920923 | + | 0.389744i | \(0.127437\pi\) | |||||||
\(332\) | −9.33030 | − | 5.38685i | −0.512067 | − | 0.295642i | ||||
\(333\) | − | 15.8745i | − | 0.869918i | ||||||
\(334\) | 2.18693 | − | 3.78788i | 0.119664 | − | 0.207263i | ||||
\(335\) | −0.705131 | − | 2.14329i | −0.0385254 | − | 0.117101i | ||||
\(336\) | −2.41733 | − | 4.18693i | −0.131876 | − | 0.228416i | ||||
\(337\) | − | 30.7477i | − | 1.67494i | −0.546487 | − | 0.837468i | \(-0.684035\pi\) | ||
0.546487 | − | 0.837468i | \(-0.315965\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 7.41742 | 0.402859 | ||||||||
\(340\) | 5.73630 | + | 17.4359i | 0.311095 | + | 0.945593i | ||||
\(341\) | 8.20871 | + | 14.2179i | 0.444527 | + | 0.769943i | ||||
\(342\) | 1.37055 | + | 0.791288i | 0.0741109 | + | 0.0427879i | ||||
\(343\) | 19.0526i | 1.02874i | ||||||||
\(344\) | 9.16478 | − | 15.8739i | 0.494132 | − | 0.855861i | ||||
\(345\) | −7.64016 | − | 6.82847i | −0.411332 | − | 0.367633i | ||||
\(346\) | 7.57575 | 0.407275 | ||||||||
\(347\) | 18.4726 | + | 10.6652i | 0.991660 | + | 0.572535i | 0.905770 | − | 0.423769i | \(-0.139293\pi\) |
0.0858901 | + | 0.996305i | \(0.472627\pi\) | |||||||
\(348\) | 7.10895 | − | 4.10436i | 0.381080 | − | 0.220017i | ||||
\(349\) | −1.22753 | − | 2.12614i | −0.0657079 | − | 0.113809i | 0.831300 | − | 0.555824i | \(-0.187597\pi\) |
−0.897008 | + | 0.442015i | \(0.854264\pi\) | |||||||
\(350\) | 3.62614 | + | 1.58258i | 0.193825 | + | 0.0845922i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | − | 12.5390i | − | 0.668332i | ||||||
\(353\) | 5.91742 | − | 3.41643i | 0.314953 | − | 0.181838i | −0.334188 | − | 0.942506i | \(-0.608462\pi\) |
0.649141 | + | 0.760668i | \(0.275129\pi\) | |||||||
\(354\) | −3.18693 | − | 5.51993i | −0.169384 | − | 0.293381i | ||||
\(355\) | −11.7098 | − | 10.4658i | −0.621492 | − | 0.555465i | ||||
\(356\) | 17.1497 | 0.908933 | ||||||||
\(357\) | −6.87386 | − | 3.96863i | −0.363803 | − | 0.210042i | ||||
\(358\) | −7.18693 | − | 4.14938i | −0.379841 | − | 0.219301i | ||||
\(359\) | 19.5293 | 1.03072 | 0.515359 | − | 0.856975i | \(-0.327659\pi\) | ||||
0.515359 | + | 0.856975i | \(0.327659\pi\) | |||||||
\(360\) | 5.16184 | − | 5.77542i | 0.272053 | − | 0.304391i | ||||
\(361\) | 8.00000 | + | 13.8564i | 0.421053 | + | 0.729285i | ||||
\(362\) | −3.46099 | + | 1.99820i | −0.181905 | + | 0.105023i | ||||
\(363\) | 4.00000i | 0.209946i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0.323775 | + | 0.560795i | 0.0169240 | + | 0.0293132i | ||||
\(367\) | −1.51358 | + | 0.873864i | −0.0790080 | + | 0.0456153i | −0.538984 | − | 0.842316i | \(-0.681192\pi\) |
0.459976 | + | 0.887932i | \(0.347858\pi\) | |||||||
\(368\) | −11.0776 | − | 6.39564i | −0.577459 | − | 0.333396i | ||||
\(369\) | −5.29150 | −0.275465 | ||||||||
\(370\) | −6.04556 | − | 5.40329i | −0.314294 | − | 0.280903i | ||||
\(371\) | −6.56670 | + | 11.3739i | −0.340926 | + | 0.590502i | ||||
\(372\) | − | 11.1153i | − | 0.576302i | ||||||
\(373\) | −11.2583 | − | 6.50000i | −0.582934 | − | 0.336557i | 0.179364 | − | 0.983783i | \(-0.442596\pi\) |
−0.762299 | + | 0.647225i | \(0.775929\pi\) | |||||||
\(374\) | −2.76951 | − | 4.79693i | −0.143208 | − | 0.248043i | ||||
\(375\) | −1.04580 | + | 11.1313i | −0.0540051 | + | 0.574819i | ||||
\(376\) | −3.16515 | −0.163230 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 3.95644i | 0.203497i | ||||||||
\(379\) | −5.33918 | − | 9.24773i | −0.274255 | − | 0.475024i | 0.695692 | − | 0.718340i | \(-0.255098\pi\) |
−0.969947 | + | 0.243317i | \(0.921765\pi\) | |||||||
\(380\) | −6.59014 | + | 2.16812i | −0.338067 | + | 0.111222i | ||||
\(381\) | 8.87386 | − | 15.3700i | 0.454622 | − | 0.787428i | ||||
\(382\) | − | 7.57575i | − | 0.387609i | ||||||
\(383\) | −20.4564 | − | 11.8105i | −1.04528 | − | 0.603490i | −0.123952 | − | 0.992288i | \(-0.539557\pi\) |
−0.921323 | + | 0.388798i | \(0.872890\pi\) | |||||||
\(384\) | −5.51993 | + | 9.56080i | −0.281688 | + | 0.487897i | ||||
\(385\) | 10.0308 | + | 2.09355i | 0.511217 | + | 0.106697i | ||||
\(386\) | −3.39564 | + | 5.88143i | −0.172834 | + | 0.299357i | ||||
\(387\) | 18.3296 | − | 10.5826i | 0.931744 | − | 0.537943i | ||||
\(388\) | −17.6869 | + | 10.2116i | −0.897918 | + | 0.518413i | ||||
\(389\) | −3.16515 | −0.160480 | −0.0802398 | − | 0.996776i | \(-0.525569\pi\) | ||||
−0.0802398 | + | 0.996776i | \(0.525569\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −21.0000 | −1.06202 | ||||||||
\(392\) | 6.00000 | − | 3.46410i | 0.303046 | − | 0.174964i | ||||
\(393\) | 6.56670 | − | 3.79129i | 0.331246 | − | 0.191245i | ||||
\(394\) | −3.35208 | + | 5.80598i | −0.168876 | + | 0.292501i | ||||
\(395\) | −2.74110 | + | 13.1334i | −0.137920 | + | 0.660813i | ||||
\(396\) | 4.73930 | − | 8.20871i | 0.238159 | − | 0.412503i | ||||
\(397\) | −17.6216 | − | 10.1738i | −0.884402 | − | 0.510610i | −0.0122949 | − | 0.999924i | \(-0.503914\pi\) |
−0.872107 | + | 0.489315i | \(0.837247\pi\) | |||||||
\(398\) | 4.83465i | 0.242339i | ||||||||
\(399\) | 1.50000 | − | 2.59808i | 0.0750939 | − | 0.130066i | ||||
\(400\) | 1.56099 | + | 13.8689i | 0.0780496 | + | 0.693443i | ||||
\(401\) | 14.9131 | + | 25.8303i | 0.744726 | + | 1.28990i | 0.950323 | + | 0.311267i | \(0.100753\pi\) |
−0.205596 | + | 0.978637i | \(0.565913\pi\) | |||||||
\(402\) | − | 0.460985i | − | 0.0229918i | ||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −16.1216 | −0.802079 | ||||||||
\(405\) | 2.12407 | − | 0.698807i | 0.105546 | − | 0.0347240i | ||||
\(406\) | −1.81307 | − | 3.14033i | −0.0899811 | − | 0.155852i | ||||
\(407\) | −18.1865 | − | 10.5000i | −0.901473 | − | 0.520466i | ||||
\(408\) | 7.93725i | 0.392953i | ||||||||
\(409\) | −4.33013 | + | 7.50000i | −0.214111 | + | 0.370851i | −0.952997 | − | 0.302979i | \(-0.902019\pi\) |
0.738886 | + | 0.673830i | \(0.235352\pi\) | |||||||
\(410\) | −1.80110 | + | 2.01519i | −0.0889498 | + | 0.0995230i | ||||
\(411\) | −10.4877 | −0.517318 | ||||||||
\(412\) | −4.91010 | − | 2.83485i | −0.241903 | − | 0.139663i | ||||
\(413\) | 20.9276 | − | 12.0826i | 1.02978 | − | 0.594545i | ||||
\(414\) | 2.09355 | + | 3.62614i | 0.102892 | + | 0.178215i | ||||
\(415\) | −13.1652 | − | 2.74773i | −0.646252 | − | 0.134881i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | − | 21.7477i | − | 1.06499i | ||||||
\(418\) | 1.81307 | − | 1.04678i | 0.0886801 | − | 0.0511995i | ||||
\(419\) | −2.91742 | − | 5.05313i | −0.142526 | − | 0.246861i | 0.785922 | − | 0.618326i | \(-0.212189\pi\) |
−0.928447 | + | 0.371465i | \(0.878856\pi\) | |||||||
\(420\) | −5.17272 | − | 4.62317i | −0.252403 | − | 0.225588i | ||||
\(421\) | 5.48220 | 0.267186 | 0.133593 | − | 0.991036i | \(-0.457348\pi\) | ||||
0.133593 | + | 0.991036i | \(0.457348\pi\) | |||||||
\(422\) | 0.0653411 | + | 0.0377247i | 0.00318076 | + | 0.00183641i | ||||
\(423\) | −3.16515 | − | 1.82740i | −0.153895 | − | 0.0888513i | ||||
\(424\) | 13.1334 | 0.637815 | ||||||||
\(425\) | 13.6040 | + | 18.4373i | 0.659889 | + | 0.894338i | ||||
\(426\) | −1.60436 | − | 2.77883i | −0.0777313 | − | 0.134635i | ||||
\(427\) | −2.12614 | + | 1.22753i | −0.102891 | + | 0.0594041i | ||||
\(428\) | − | 18.9564i | − | 0.916294i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2.20871 | − | 10.5826i | 0.106514 | − | 0.510337i | ||||
\(431\) | 4.23478 | + | 7.33485i | 0.203982 | + | 0.353307i | 0.949808 | − | 0.312834i | \(-0.101278\pi\) |
−0.745826 | + | 0.666141i | \(0.767945\pi\) | |||||||
\(432\) | −12.0866 | + | 6.97822i | −0.581518 | + | 0.335740i | ||||
\(433\) | −8.44178 | − | 4.87386i | −0.405686 | − | 0.234223i | 0.283248 | − | 0.959047i | \(-0.408588\pi\) |
−0.688934 | + | 0.724824i | \(0.741921\pi\) | |||||||
\(434\) | −4.91010 | −0.235692 | ||||||||
\(435\) | 6.82847 | − | 7.64016i | 0.327400 | − | 0.366317i | ||||
\(436\) | 11.7629 | − | 20.3739i | 0.563339 | − | 0.975731i | ||||
\(437\) | − | 7.93725i | − | 0.379690i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.24773 | + | 12.5534i | 0.345915 | + | 0.599143i | 0.985520 | − | 0.169562i | \(-0.0542352\pi\) |
−0.639604 | + | 0.768704i | \(0.720902\pi\) | |||||||
\(440\) | −3.20233 | − | 9.73371i | −0.152665 | − | 0.464036i | ||||
\(441\) | 8.00000 | 0.380952 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | − | 19.9129i | − | 0.946089i | −0.881038 | − | 0.473045i | \(-0.843155\pi\) | ||
0.881038 | − | 0.473045i | \(-0.156845\pi\) | |||||||
\(444\) | 7.10895 | + | 12.3131i | 0.337376 | + | 0.584352i | ||||
\(445\) | 20.3357 | − | 6.69034i | 0.964007 | − | 0.317153i | ||||
\(446\) | −1.97822 | + | 3.42638i | −0.0936714 | + | 0.162244i | ||||
\(447\) | 16.6929i | 0.789545i | ||||||||
\(448\) | −5.12614 | − | 2.95958i | −0.242187 | − | 0.139827i | ||||
\(449\) | 5.50998 | − | 9.54356i | 0.260032 | − | 0.450388i | −0.706218 | − | 0.707994i | \(-0.749600\pi\) |
0.966250 | + | 0.257606i | \(0.0829336\pi\) | |||||||
\(450\) | 1.82740 | − | 4.18710i | 0.0861445 | − | 0.197382i | ||||
\(451\) | −3.50000 | + | 6.06218i | −0.164809 | + | 0.285457i | ||||
\(452\) | 11.5067 | − | 6.64337i | 0.541228 | − | 0.312478i | ||||
\(453\) | −8.37386 | + | 4.83465i | −0.393438 | + | 0.227152i | ||||
\(454\) | −0.373864 | −0.0175463 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −3.00000 | −0.140488 | ||||||||
\(457\) | 1.50000 | − | 0.866025i | 0.0701670 | − | 0.0405110i | −0.464506 | − | 0.885570i | \(-0.653768\pi\) |
0.534673 | + | 0.845059i | \(0.320435\pi\) | |||||||
\(458\) | −10.3923 | + | 6.00000i | −0.485601 | + | 0.280362i | ||||
\(459\) | −11.4564 | + | 19.8431i | −0.534741 | + | 0.926198i | ||||
\(460\) | −17.9681 | − | 3.75015i | −0.837765 | − | 0.174852i | ||||
\(461\) | −17.9204 | + | 31.0390i | −0.834635 | + | 1.44563i | 0.0596914 | + | 0.998217i | \(0.480988\pi\) |
−0.894327 | + | 0.447414i | \(0.852345\pi\) | |||||||
\(462\) | 1.81307 | + | 1.04678i | 0.0843516 | + | 0.0487004i | ||||
\(463\) | 39.4002i | 1.83108i | 0.402223 | + | 0.915542i | \(0.368238\pi\) | ||||
−0.402223 | + | 0.915542i | \(0.631762\pi\) | |||||||
\(464\) | 6.39564 | − | 11.0776i | 0.296910 | − | 0.514264i | ||||
\(465\) | −4.33624 | − | 13.1803i | −0.201088 | − | 0.611221i | ||||
\(466\) | 0.647551 | + | 1.12159i | 0.0299972 | + | 0.0519567i | ||||
\(467\) | 24.3303i | 1.12587i | 0.826500 | + | 0.562936i | \(0.190328\pi\) | ||||
−0.826500 | + | 0.562936i | \(0.809672\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.74773 | 0.0807025 | ||||||||
\(470\) | −1.77328 | + | 0.583398i | −0.0817951 | + | 0.0269101i | ||||
\(471\) | −4.58258 | − | 7.93725i | −0.211154 | − | 0.365729i | ||||
\(472\) | −20.9276 | − | 12.0826i | −0.963272 | − | 0.556146i | ||||
\(473\) | − | 27.9989i | − | 1.28739i | ||||||
\(474\) | −1.37055 | + | 2.37386i | −0.0629515 | + | 0.109035i | ||||
\(475\) | −6.96863 | + | 5.14181i | −0.319743 | + | 0.235923i | ||||
\(476\) | −14.2179 | −0.651677 | ||||||||
\(477\) | 13.1334 | + | 7.58258i | 0.601337 | + | 0.347182i | ||||
\(478\) | 0.0754495 | − | 0.0435608i | 0.00345098 | − | 0.00199242i | ||||
\(479\) | −2.33193 | − | 4.03901i | −0.106548 | − | 0.184547i | 0.807821 | − | 0.589427i | \(-0.200647\pi\) |
−0.914370 | + | 0.404880i | \(0.867313\pi\) | |||||||
\(480\) | −2.16515 | + | 10.3739i | −0.0988252 | + | 0.473500i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 0.791288i | 0.0360422i | ||||||||
\(483\) | 6.87386 | − | 3.96863i | 0.312772 | − | 0.180579i | ||||
\(484\) | 3.58258 | + | 6.20520i | 0.162844 | + | 0.282055i | ||||
\(485\) | −16.9891 | + | 19.0086i | −0.771435 | + | 0.863134i | ||||
\(486\) | 7.30960 | 0.331570 | ||||||||
\(487\) | −9.24773 | − | 5.33918i | −0.419055 | − | 0.241941i | 0.275618 | − | 0.961267i | \(-0.411117\pi\) |
−0.694673 | + | 0.719326i | \(0.744451\pi\) | |||||||
\(488\) | 2.12614 | + | 1.22753i | 0.0962457 | + | 0.0555675i | ||||
\(489\) | −21.0707 | −0.952848 | ||||||||
\(490\) | 2.72300 | − | 3.04668i | 0.123013 | − | 0.137635i | ||||
\(491\) | 9.70871 | + | 16.8160i | 0.438148 | + | 0.758895i | 0.997547 | − | 0.0700041i | \(-0.0223012\pi\) |
−0.559399 | + | 0.828899i | \(0.688968\pi\) | |||||||
\(492\) | 4.10436 | − | 2.36965i | 0.185039 | − | 0.106832i | ||||
\(493\) | − | 21.0000i | − | 0.945792i | ||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 2.41742 | − | 11.5826i | 0.108655 | − | 0.520598i | ||||
\(496\) | −8.66025 | − | 15.0000i | −0.388857 | − | 0.673520i | ||||
\(497\) | 10.5353 | − | 6.08258i | 0.472574 | − | 0.272841i | ||||
\(498\) | −2.37960 | − | 1.37386i | −0.106632 | − | 0.0615643i | ||||
\(499\) | 0.723000 | 0.0323659 | 0.0161830 | − | 0.999869i | \(-0.494849\pi\) | ||||
0.0161830 | + | 0.999869i | \(0.494849\pi\) | |||||||
\(500\) | 8.34734 | + | 18.2047i | 0.373305 | + | 0.814139i | ||||
\(501\) | −4.78698 | + | 8.29129i | −0.213866 | + | 0.370427i | ||||
\(502\) | 0.0754495i | 0.00336747i | ||||||||
\(503\) | 0.143025 | + | 0.0825757i | 0.00637718 | + | 0.00368187i | 0.503185 | − | 0.864179i | \(-0.332161\pi\) |
−0.496808 | + | 0.867860i | \(0.665495\pi\) | |||||||
\(504\) | 3.00000 | + | 5.19615i | 0.133631 | + | 0.231455i | ||||
\(505\) | −19.1166 | + | 6.28926i | −0.850678 | + | 0.279868i | ||||
\(506\) | 5.53901 | 0.246239 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | − | 31.7913i | − | 1.41051i | ||||||
\(509\) | −4.23478 | − | 7.33485i | −0.187703 | − | 0.325111i | 0.756781 | − | 0.653669i | \(-0.226771\pi\) |
−0.944484 | + | 0.328557i | \(0.893438\pi\) | |||||||
\(510\) | 1.46299 | + | 4.44685i | 0.0647822 | + | 0.196910i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 22.8981i | 1.01196i | ||||||||
\(513\) | −7.50000 | − | 4.33013i | −0.331133 | − | 0.191180i | ||||
\(514\) | 4.14938 | − | 7.18693i | 0.183021 | − | 0.317002i | ||||
\(515\) | −6.92820 | − | 1.44600i | −0.305293 | − | 0.0637184i | ||||
\(516\) | −9.47822 | + | 16.4168i | −0.417255 | + | 0.722707i | ||||
\(517\) | −4.18710 | + | 2.41742i | −0.184149 | + | 0.106318i | ||||
\(518\) | 5.43920 | − | 3.14033i | 0.238985 | − | 0.137978i | ||||
\(519\) | −16.5826 | −0.727894 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 27.4955 | 1.20460 | 0.602299 | − | 0.798271i | \(-0.294252\pi\) | ||||
0.602299 | + | 0.798271i | \(0.294252\pi\) | |||||||
\(522\) | −3.62614 | + | 2.09355i | −0.158712 | + | 0.0916322i | ||||
\(523\) | −0.143025 | + | 0.0825757i | −0.00625406 | + | 0.00361078i | −0.503124 | − | 0.864214i | \(-0.667816\pi\) |
0.496870 | + | 0.867825i | \(0.334483\pi\) | |||||||
\(524\) | 6.79129 | − | 11.7629i | 0.296679 | − | 0.513863i | ||||
\(525\) | −7.93725 | − | 3.46410i | −0.346410 | − | 0.151186i | ||||
\(526\) | −2.05583 | + | 3.56080i | −0.0896383 | + | 0.155258i | ||||
\(527\) | −24.6261 | − | 14.2179i | −1.07273 | − | 0.619342i | ||||
\(528\) | 7.38505i | 0.321393i | ||||||||
\(529\) | −1.00000 | + | 1.73205i | −0.0434783 | + | 0.0753066i | ||||
\(530\) | 7.35799 | − | 2.42074i | 0.319611 | − | 0.105150i | ||||
\(531\) | −13.9518 | − | 24.1652i | −0.605455 | − | 1.04868i | ||||
\(532\) | − | 5.37386i | − | 0.232987i | ||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 4.37386 | 0.189276 | ||||||||
\(535\) | −7.39517 | − | 22.4781i | −0.319721 | − | 0.971814i | ||||
\(536\) | −0.873864 | − | 1.51358i | −0.0377452 | − | 0.0653765i | ||||
\(537\) | 15.7315 | + | 9.08258i | 0.678864 | + | 0.391942i | ||||
\(538\) | 6.85275i | 0.295443i | ||||||||
\(539\) | 5.29150 | − | 9.16515i | 0.227921 | − | 0.394771i | ||||
\(540\) | −13.3459 | + | 14.9323i | −0.574318 | + | 0.642586i | ||||
\(541\) | 10.3923 | 0.446800 | 0.223400 | − | 0.974727i | \(-0.428284\pi\) | ||||
0.223400 | + | 0.974727i | \(0.428284\pi\) | |||||||
\(542\) | −3.42638 | − | 1.97822i | −0.147175 | − | 0.0849718i | ||||
\(543\) | 7.57575 | − | 4.37386i | 0.325107 | − | 0.187700i | ||||
\(544\) | 10.8591 | + | 18.8085i | 0.465580 | + | 0.806409i | ||||
\(545\) | 6.00000 | − | 28.7477i | 0.257012 | − | 1.23142i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 28.7477i | 1.22916i | 0.788853 | + | 0.614582i | \(0.210675\pi\) | ||||
−0.788853 | + | 0.614582i | \(0.789325\pi\) | |||||||
\(548\) | −16.2695 | + | 9.39320i | −0.694999 | + | 0.401258i | ||||
\(549\) | 1.41742 | + | 2.45505i | 0.0604942 | + | 0.104779i | ||||
\(550\) | −3.58822 | − | 4.86306i | −0.153002 | − | 0.207362i | ||||
\(551\) | 7.93725 | 0.338138 | ||||||||
\(552\) | −6.87386 | − | 3.96863i | −0.292571 | − | 0.168916i | ||||
\(553\) | −9.00000 | − | 5.19615i | −0.382719 | − | 0.220963i | ||||
\(554\) | −3.38865 | −0.143970 | ||||||||
\(555\) | 13.2331 | + | 11.8273i | 0.561715 | + | 0.502039i | ||||
\(556\) | −19.4782 | − | 33.7373i | −0.826061 | − | 1.43078i | ||||
\(557\) | −6.70871 | + | 3.87328i | −0.284257 | + | 0.164116i | −0.635349 | − | 0.772225i | \(-0.719144\pi\) |
0.351092 | + | 0.936341i | \(0.385810\pi\) | |||||||
\(558\) | 5.66970i | 0.240017i | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −10.5826 | − | 2.20871i | −0.447195 | − | 0.0933351i | ||||
\(561\) | 6.06218 | + | 10.5000i | 0.255945 | + | 0.443310i | ||||
\(562\) | −1.44600 | + | 0.834849i | −0.0609958 | + | 0.0352160i | ||||
\(563\) | 7.79423 | + | 4.50000i | 0.328488 | + | 0.189652i | 0.655169 | − | 0.755482i | \(-0.272597\pi\) |
−0.326682 | + | 0.945134i | \(0.605931\pi\) | |||||||
\(564\) | 3.27340 | 0.137835 | ||||||||
\(565\) | 11.0527 | − | 12.3665i | 0.464989 | − | 0.520261i | ||||
\(566\) | −6.33828 | + | 10.9782i | −0.266418 | + | 0.461449i | ||||
\(567\) | 1.73205i | 0.0727393i | ||||||||
\(568\) | −10.5353 | − | 6.08258i | −0.442053 | − | 0.255219i | ||||
\(569\) | −3.87386 | − | 6.70973i | −0.162401 | − | 0.281286i | 0.773328 | − | 0.634006i | \(-0.218590\pi\) |
−0.935729 | + | 0.352719i | \(0.885257\pi\) | |||||||
\(570\) | −1.68075 | + | 0.552957i | −0.0703989 | + | 0.0231608i | ||||
\(571\) | 35.0780 | 1.46797 | 0.733985 | − | 0.679166i | \(-0.237658\pi\) | ||||
0.733985 | + | 0.679166i | \(0.237658\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 16.5826i | 0.692747i | ||||||||
\(574\) | −1.04678 | − | 1.81307i | −0.0436916 | − | 0.0756760i | ||||
\(575\) | −22.7691 | + | 2.56275i | −0.949537 | + | 0.106874i | ||||
\(576\) | −3.41742 | + | 5.91915i | −0.142393 | + | 0.246631i | ||||
\(577\) | 6.92820i | 0.288425i | 0.989547 | + | 0.144212i | \(0.0460649\pi\) | ||||
−0.989547 | + | 0.144212i | \(0.953935\pi\) | |||||||
\(578\) | 1.58258 | + | 0.913701i | 0.0658265 | + | 0.0380049i | ||||
\(579\) | 7.43273 | − | 12.8739i | 0.308894 | − | 0.535020i | ||||
\(580\) | 3.75015 | − | 17.9681i | 0.155717 | − | 0.746083i | ||||
\(581\) | 5.20871 | − | 9.02175i | 0.216094 | − | 0.374285i | ||||
\(582\) | −4.51088 | + | 2.60436i | −0.186982 | + | 0.107954i | ||||
\(583\) | 17.3739 | − | 10.0308i | 0.719552 | − | 0.415433i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.28674 | −0.342322 | ||||||||
\(587\) | 34.2042 | − | 19.7478i | 1.41176 | − | 0.815078i | 0.416203 | − | 0.909272i | \(-0.363361\pi\) |
0.995554 | + | 0.0941934i | \(0.0300272\pi\) | |||||||
\(588\) | −6.20520 | + | 3.58258i | −0.255898 | + | 0.147743i | ||||
\(589\) | 5.37386 | − | 9.30780i | 0.221426 | − | 0.383521i | ||||
\(590\) | −13.9518 | − | 2.91190i | −0.574385 | − | 0.119881i | ||||
\(591\) | 7.33738 | − | 12.7087i | 0.301819 | − | 0.522767i | ||||
\(592\) | 19.1869 | + | 11.0776i | 0.788578 | + | 0.455286i | ||||
\(593\) | − | 21.1660i | − | 0.869184i | −0.900627 | − | 0.434592i | \(-0.856893\pi\) | ||
0.900627 | − | 0.434592i | \(-0.143107\pi\) | |||||||
\(594\) | 3.02178 | − | 5.23388i | 0.123985 | − | 0.214749i | ||||
\(595\) | −16.8593 | + | 5.54661i | −0.691163 | + | 0.227389i | ||||
\(596\) | 14.9509 | + | 25.8956i | 0.612411 | + | 1.06073i | ||||
\(597\) | − | 10.5826i | − | 0.433116i | ||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −15.4955 | −0.633127 | −0.316564 | − | 0.948571i | \(-0.602529\pi\) | ||||
−0.316564 | + | 0.948571i | \(0.602529\pi\) | |||||||
\(600\) | 0.968627 | + | 8.60591i | 0.0395440 | + | 0.351335i | ||||
\(601\) | −8.45644 | − | 14.6470i | −0.344945 | − | 0.597463i | 0.640398 | − | 0.768043i | \(-0.278769\pi\) |
−0.985344 | + | 0.170580i | \(0.945436\pi\) | |||||||
\(602\) | 7.25198 | + | 4.18693i | 0.295569 | + | 0.170647i | ||||
\(603\) | − | 2.01810i | − | 0.0821834i | ||||||
\(604\) | −8.66025 | + | 15.0000i | −0.352381 | + | 0.610341i | ||||
\(605\) | 6.66888 | + | 5.96038i | 0.271128 | + | 0.242324i | ||||
\(606\) | −4.11165 | −0.167024 | ||||||||
\(607\) | −6.70973 | − | 3.87386i | −0.272339 | − | 0.157235i | 0.357611 | − | 0.933871i | \(-0.383591\pi\) |
−0.629950 | + | 0.776635i | \(0.716925\pi\) | |||||||
\(608\) | −7.10895 | + | 4.10436i | −0.288306 | + | 0.166454i | ||||
\(609\) | 3.96863 | + | 6.87386i | 0.160817 | + | 0.278543i | ||||
\(610\) | 1.41742 | + | 0.295834i | 0.0573898 | + | 0.0119780i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 16.4174i | 0.663635i | ||||||||
\(613\) | −5.12614 | + | 2.95958i | −0.207043 | + | 0.119536i | −0.599936 | − | 0.800048i | \(-0.704807\pi\) |
0.392894 | + | 0.919584i | \(0.371474\pi\) | |||||||
\(614\) | 5.53901 | + | 9.59386i | 0.223536 | + | 0.387176i | ||||
\(615\) | 3.94242 | − | 4.41105i | 0.158974 | − | 0.177871i | ||||
\(616\) | 7.93725 | 0.319801 | ||||||||
\(617\) | 12.0826 | + | 6.97588i | 0.486426 | + | 0.280838i | 0.723091 | − | 0.690753i | \(-0.242721\pi\) |
−0.236664 | + | 0.971591i | \(0.576054\pi\) | |||||||
\(618\) | −1.25227 | − | 0.723000i | −0.0503738 | − | 0.0290833i | ||||
\(619\) | 29.7309 | 1.19499 | 0.597493 | − | 0.801874i | \(-0.296164\pi\) | ||||
0.597493 | + | 0.801874i | \(0.296164\pi\) | |||||||
\(620\) | −18.5316 | − | 16.5629i | −0.744249 | − | 0.665180i | ||||
\(621\) | −11.4564 | − | 19.8431i | −0.459731 | − | 0.796278i | ||||
\(622\) | −3.00000 | + | 1.73205i | −0.120289 | + | 0.0694489i | ||||
\(623\) | 16.5826i | 0.664367i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 17.0000 | + | 18.3303i | 0.680000 | + | 0.733212i | ||||
\(626\) | 0.742901 | + | 1.28674i | 0.0296923 | + | 0.0514286i | ||||
\(627\) | −3.96863 | + | 2.29129i | −0.158492 | + | 0.0915052i | ||||
\(628\) | −14.2179 | − | 8.20871i | −0.567356 | − | 0.327563i | ||||
\(629\) | 36.3731 | 1.45029 | ||||||||
\(630\) | 2.63850 | + | 2.35819i | 0.105120 | + | 0.0939524i | ||||
\(631\) | −2.95958 | + | 5.12614i | −0.117819 | + | 0.204068i | −0.918903 | − | 0.394483i | \(-0.870924\pi\) |
0.801084 | + | 0.598552i | \(0.204257\pi\) | |||||||
\(632\) | 10.3923i | 0.413384i | ||||||||
\(633\) | −0.143025 | − | 0.0825757i | −0.00568475 | − | 0.00328209i | ||||
\(634\) | 0.0435608 | + | 0.0754495i | 0.00173002 | + | 0.00299648i | ||||
\(635\) | −12.4022 | − | 37.6974i | −0.492167 | − | 1.49598i | ||||
\(636\) | −13.5826 | −0.538584 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 5.53901i | 0.219292i | ||||||||
\(639\) | −7.02355 | − | 12.1652i | −0.277847 | − | 0.481246i | ||||
\(640\) | 7.71472 | + | 23.4494i | 0.304951 | + | 0.926920i | ||||
\(641\) | 9.08258 | − | 15.7315i | 0.358740 | − | 0.621356i | −0.629010 | − | 0.777397i | \(-0.716540\pi\) |
0.987751 | + | 0.156041i | \(0.0498731\pi\) | |||||||
\(642\) | − | 4.83465i | − | 0.190809i | ||||||
\(643\) | 18.8739 | + | 10.8968i | 0.744313 | + | 0.429729i | 0.823635 | − | 0.567120i | \(-0.191942\pi\) |
−0.0793227 | + | 0.996849i | \(0.525276\pi\) | |||||||
\(644\) | 7.10895 | − | 12.3131i | 0.280132 | − | 0.485203i | ||||
\(645\) | −4.83465 | + | 23.1642i | −0.190364 | + | 0.912090i | ||||
\(646\) | −1.81307 | + | 3.14033i | −0.0713342 | + | 0.123554i | ||||
\(647\) | −23.3827 | + | 13.5000i | −0.919268 | + | 0.530740i | −0.883402 | − | 0.468617i | \(-0.844753\pi\) |
−0.0358667 | + | 0.999357i | \(0.511419\pi\) | |||||||
\(648\) | 1.50000 | − | 0.866025i | 0.0589256 | − | 0.0340207i | ||||
\(649\) | −36.9129 | −1.44896 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 10.7477 | 0.421237 | ||||||||
\(652\) | −32.6869 | + | 18.8718i | −1.28012 | + | 0.739077i | ||||
\(653\) | 37.0882 | − | 21.4129i | 1.45137 | − | 0.837951i | 0.452814 | − | 0.891605i | \(-0.350420\pi\) |
0.998560 | + | 0.0536545i | \(0.0170870\pi\) | |||||||
\(654\) | 3.00000 | − | 5.19615i | 0.117309 | − | 0.203186i | ||||
\(655\) | 3.46410 | − | 16.5975i | 0.135354 | − | 0.648518i | ||||
\(656\) | 3.69253 | − | 6.39564i | 0.144169 | − | 0.249708i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | − | 1.44600i | − | 0.0563710i | ||||||
\(659\) | 15.2477 | − | 26.4098i | 0.593967 | − | 1.02878i | −0.399725 | − | 0.916635i | \(-0.630894\pi\) |
0.993692 | − | 0.112146i | \(-0.0357724\pi\) | |||||||
\(660\) | 3.31186 | + | 10.0666i | 0.128914 | + | 0.391842i | ||||
\(661\) | −9.16478 | − | 15.8739i | −0.356469 | − | 0.617422i | 0.630900 | − | 0.775865i | \(-0.282686\pi\) |
−0.987368 | + | 0.158443i | \(0.949353\pi\) | |||||||
\(662\) | − | 2.04356i | − | 0.0794252i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −10.4174 | −0.404274 | ||||||||
\(665\) | −2.09642 | − | 6.37221i | −0.0812957 | − | 0.247104i | ||||
\(666\) | −3.62614 | − | 6.28065i | −0.140510 | − | 0.243370i | ||||
\(667\) | 18.1865 | + | 10.5000i | 0.704185 | + | 0.406562i | ||||
\(668\) | 17.1497i | 0.663542i | ||||||||
\(669\) | 4.33013 | − | 7.50000i | 0.167412 | − | 0.289967i | ||||
\(670\) | −0.768563 | − | 0.686911i | −0.0296922 | − | 0.0265377i | ||||
\(671\) | 3.75015 | 0.144773 | ||||||||
\(672\) | −7.10895 | − | 4.10436i | −0.274234 | − | 0.158329i | ||||
\(673\) | −20.9276 | + | 12.0826i | −0.806701 | + | 0.465749i | −0.845809 | − | 0.533486i | \(-0.820882\pi\) |
0.0391079 | + | 0.999235i | \(0.487548\pi\) | |||||||
\(674\) | −7.02355 | − | 12.1652i | −0.270537 | − | 0.468584i | ||||
\(675\) | −10.0000 | + | 22.9129i | −0.384900 | + | 0.881917i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − | 2.83485i | − | 0.108952i | −0.998515 | − | 0.0544760i | \(-0.982651\pi\) | ||
0.998515 | − | 0.0544760i | \(-0.0173489\pi\) | |||||||
\(678\) | 2.93466 | − | 1.69433i | 0.112705 | − | 0.0650702i | ||||
\(679\) | −9.87386 | − | 17.1020i | −0.378924 | − | 0.656316i | ||||
\(680\) | 13.2331 | + | 11.8273i | 0.507468 | + | 0.453555i | ||||
\(681\) | 0.818350 | 0.0313593 | ||||||||
\(682\) | 6.49545 | + | 3.75015i | 0.248724 | + | 0.143601i | ||||
\(683\) | 28.6652 | + | 16.5498i | 1.09684 | + | 0.633262i | 0.935390 | − | 0.353619i | \(-0.115049\pi\) |
0.161452 | + | 0.986881i | \(0.448382\pi\) | |||||||
\(684\) | −6.20520 | −0.237262 | ||||||||
\(685\) | −15.6276 | + | 17.4852i | −0.597100 | + | 0.668076i | ||||
\(686\) | 4.35208 | + | 7.53803i | 0.166163 | + | 0.287803i | ||||
\(687\) | 22.7477 | − | 13.1334i | 0.867880 | − | 0.501071i | ||||
\(688\) | 29.5390i | 1.12616i | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −4.58258 | − | 0.956439i | −0.174456 | − | 0.0364110i | ||||
\(691\) | 9.88778 | + | 17.1261i | 0.376149 | + | 0.651509i | 0.990498 | − | 0.137525i | \(-0.0439148\pi\) |
−0.614349 | + | 0.789034i | \(0.710581\pi\) | |||||||
\(692\) | −25.7246 | + | 14.8521i | −0.977901 | + | 0.564591i | ||||
\(693\) | 7.93725 | + | 4.58258i | 0.301511 | + | 0.174078i | ||||
\(694\) | 9.74475 | 0.369906 | ||||||||
\(695\) | −36.2582 | − | 32.4062i | −1.37535 | − | 1.22924i | ||||
\(696\) | 3.96863 | − | 6.87386i | 0.150430 | − | 0.260553i | ||||
\(697\) | − | 12.1244i | − | 0.459243i | ||||||
\(698\) | −0.971326 | − | 0.560795i | −0.0367652 | − | 0.0212264i | ||||
\(699\) | −1.41742 | − | 2.45505i | −0.0536119 | − | 0.0928586i | ||||
\(700\) | −15.4157 | + | 1.73509i | −0.582658 | + | 0.0655802i | ||||
\(701\) | 21.1652 | 0.799397 | 0.399698 | − | 0.916647i | \(-0.369115\pi\) | ||||
0.399698 | + | 0.916647i | \(0.369115\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 13.7477i | 0.518505i | ||||||||
\(704\) | 4.52083 | + | 7.83030i | 0.170385 | + | 0.295116i | ||||
\(705\) | 3.88153 | − | 1.27700i | 0.146187 | − | 0.0480946i | ||||
\(706\) | 1.56080 | − | 2.70338i | 0.0587413 | − | 0.101743i | ||||
\(707\) | − | 15.5885i | − | 0.586264i | ||||||
\(708\) | 21.6434 | + | 12.4958i | 0.813408 | + | 0.469621i | ||||
\(709\) | 18.1865 | − | 31.5000i | 0.683010 | − | 1.18301i | −0.291048 | − | 0.956708i | \(-0.594004\pi\) |
0.974058 | − | 0.226299i | \(-0.0726626\pi\) | |||||||
\(710\) | −7.02355 | − | 1.46590i | −0.263589 | − | 0.0550143i | ||||
\(711\) | −6.00000 | + | 10.3923i | −0.225018 | + | 0.389742i | ||||
\(712\) | 14.3609 | − | 8.29129i | 0.538199 | − | 0.310729i | ||||
\(713\) | 24.6261 | − | 14.2179i | 0.922256 | − | 0.532465i | ||||
\(714\) | −3.62614 | −0.135705 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 32.5390 | 1.21604 | ||||||||
\(717\) | −0.165151 | + | 0.0953502i | −0.00616769 | + | 0.00356092i | ||||
\(718\) | 7.72665 | − | 4.46099i | 0.288356 | − | 0.166482i | ||||
\(719\) | 12.2477 | − | 21.2137i | 0.456763 | − | 0.791137i | −0.542025 | − | 0.840363i | \(-0.682342\pi\) |
0.998788 | + | 0.0492257i | \(0.0156754\pi\) | |||||||
\(720\) | −2.55040 | + | 12.2197i | −0.0950478 | + | 0.455402i | ||||
\(721\) | 2.74110 | − | 4.74773i | 0.102084 | − | 0.176815i | ||||
\(722\) | 6.33030 | + | 3.65480i | 0.235589 | + | 0.136018i | ||||
\(723\) | − | 1.73205i | − | 0.0644157i | ||||||
\(724\) | 7.83485 | − | 13.5704i | 0.291180 | − | 0.504338i | ||||
\(725\) | −2.56275 | − | 22.7691i | −0.0951780 | − | 0.845623i | ||||
\(726\) | 0.913701 | + | 1.58258i | 0.0339106 | + | 0.0587349i | ||||
\(727\) | 15.2523i | 0.565675i | 0.959168 | + | 0.282838i | \(0.0912758\pi\) | ||||
−0.959168 | + | 0.282838i | \(0.908724\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −13.0000 | −0.481481 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 24.2477 | + | 41.9983i | 0.896835 | + | 1.55336i | ||||
\(732\) | −2.19885 | − | 1.26951i | −0.0812719 | − | 0.0469223i | ||||
\(733\) | − | 22.8027i | − | 0.842237i | −0.907006 | − | 0.421119i | \(-0.861638\pi\) | ||
0.907006 | − | 0.421119i | \(-0.138362\pi\) | |||||||
\(734\) | −0.399225 | + | 0.691478i | −0.0147357 | + | 0.0255229i | ||||
\(735\) | −5.96038 | + | 6.66888i | −0.219852 | + | 0.245985i | ||||
\(736\) | −21.7182 | −0.800544 | ||||||||
\(737\) | −2.31203 | − | 1.33485i | −0.0851646 | − | 0.0491698i | ||||
\(738\) | −2.09355 | + | 1.20871i | −0.0770647 | + | 0.0444933i | ||||
\(739\) | 8.51723 | + | 14.7523i | 0.313311 | + | 0.542671i | 0.979077 | − | 0.203490i | \(-0.0652283\pi\) |
−0.665766 | + | 0.746161i | \(0.731895\pi\) | |||||||
\(740\) | 31.1216 | + | 6.49545i | 1.14405 | + | 0.238778i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 6.00000i | 0.220267i | ||||||||
\(743\) | 4.96099 | − | 2.86423i | 0.182001 | − | 0.105078i | −0.406232 | − | 0.913770i | \(-0.633157\pi\) |
0.588232 | + | 0.808692i | \(0.299824\pi\) | |||||||
\(744\) | −5.37386 | − | 9.30780i | −0.197015 | − | 0.341241i | ||||
\(745\) | 27.8306 | + | 24.8739i | 1.01964 | + | 0.911310i | ||||
\(746\) | −5.93905 | −0.217444 | ||||||||
\(747\) | −10.4174 | − | 6.01450i | −0.381154 | − | 0.220059i | ||||
\(748\) | 18.8085 | + | 10.8591i | 0.687708 | + | 0.397048i | ||||
\(749\) | 18.3296 | 0.669748 | ||||||||
\(750\) | 2.12891 | + | 4.64293i | 0.0777367 | + | 0.169536i | ||||
\(751\) | 5.87386 | + | 10.1738i | 0.214340 | + | 0.371248i | 0.953068 | − | 0.302755i | \(-0.0979065\pi\) |
−0.738728 | + | 0.674004i | \(0.764573\pi\) | |||||||
\(752\) | 4.41742 | − | 2.55040i | 0.161087 | − | 0.0930036i | ||||
\(753\) | − | 0.165151i | − | 0.00601845i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −4.41742 | + | 21.1652i | −0.160767 | + | 0.770279i | ||||
\(756\) | −7.75650 | − | 13.4347i | −0.282101 | − | 0.488614i | ||||
\(757\) | 8.44178 | − | 4.87386i | 0.306822 | − | 0.177144i | −0.338682 | − | 0.940901i | \(-0.609981\pi\) |
0.645503 | + | 0.763757i | \(0.276648\pi\) | |||||||
\(758\) | −4.22483 | − | 2.43920i | −0.153453 | − | 0.0885959i | ||||
\(759\) | −12.1244 | −0.440086 | ||||||||
\(760\) | −4.47028 | + | 5.00166i | −0.162154 | + | 0.181429i | ||||
\(761\) | −17.7297 | + | 30.7087i | −0.642701 | + | 1.11319i | 0.342127 | + | 0.939654i | \(0.388853\pi\) |
−0.984827 | + | 0.173536i | \(0.944481\pi\) | |||||||
\(762\) | − | 8.10805i | − | 0.293724i | ||||||
\(763\) | 19.7001 | + | 11.3739i | 0.713192 | + | 0.411762i | ||||
\(764\) | 14.8521 | + | 25.7246i | 0.537330 | + | 0.930682i | ||||
\(765\) | 6.40467 | + | 19.4674i | 0.231561 | + | 0.703846i | ||||
\(766\) | −10.7913 | −0.389905 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | − | 1.79129i | − | 0.0646375i | ||||||
\(769\) | −7.79423 | − | 13.5000i | −0.281067 | − | 0.486822i | 0.690581 | − | 0.723255i | \(-0.257355\pi\) |
−0.971648 | + | 0.236433i | \(0.924022\pi\) | |||||||
\(770\) | 4.44685 | − | 1.46299i | 0.160253 | − | 0.0527224i | ||||
\(771\) | −9.08258 | + | 15.7315i | −0.327101 | + | 0.566556i | ||||
\(772\) | − | 26.6283i | − | 0.958374i | ||||||
\(773\) | 20.9174 | + | 12.0767i | 0.752347 | + | 0.434368i | 0.826541 | − | 0.562876i | \(-0.190305\pi\) |
−0.0741940 | + | 0.997244i | \(0.523638\pi\) | |||||||
\(774\) | 4.83465 | − | 8.37386i | 0.173778 | − | 0.300992i | ||||
\(775\) | −28.4358 | − | 12.4104i | −1.02144 | − | 0.445795i | ||||
\(776\) | −9.87386 | + | 17.1020i | −0.354451 | + | 0.613927i | ||||
\(777\) | −11.9059 | + | 6.87386i | −0.427121 | + | 0.246598i | ||||
\(778\) | −1.25227 | + | 0.723000i | −0.0448962 | + | 0.0259208i | ||||
\(779\) | 4.58258 | 0.164188 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −18.5826 | −0.664937 | ||||||||
\(782\) | −8.30852 | + | 4.79693i | −0.297112 | + | 0.171538i | ||||
\(783\) | 19.8431 | − | 11.4564i | 0.709136 | − | 0.409420i | ||||
\(784\) | −5.58258 | + | 9.66930i | −0.199378 | + | 0.345332i | ||||
\(785\) | −20.0616 | − | 4.18710i | −0.716030 | − | 0.149444i | ||||
\(786\) | 1.73205 | − | 3.00000i | 0.0617802 | − | 0.107006i | ||||
\(787\) | 14.1261 | + | 8.15573i | 0.503542 | + | 0.290720i | 0.730175 | − | 0.683260i | \(-0.239438\pi\) |
−0.226633 | + | 0.973980i | \(0.572772\pi\) | |||||||
\(788\) | − | 26.2867i | − | 0.936425i | ||||||
\(789\) | 4.50000 | − | 7.79423i | 0.160204 | − | 0.277482i | ||||
\(790\) | 1.91550 | + | 5.82229i | 0.0681504 | + | 0.207148i | ||||
\(791\) | 6.42368 | + | 11.1261i | 0.228400 | + | 0.395600i | ||||
\(792\) | − | 9.16515i | − | 0.325669i | ||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −9.29583 | −0.329897 | ||||||||
\(795\) | −16.1059 | + | 5.29875i | −0.571218 | + | 0.187927i | ||||
\(796\) | −9.47822 | − | 16.4168i | −0.335947 | − | 0.581877i | ||||
\(797\) | 38.1727 | + | 22.0390i | 1.35215 | + | 0.780662i | 0.988550 | − | 0.150895i | \(-0.0482154\pi\) |
0.363596 | + | 0.931557i | \(0.381549\pi\) | |||||||
\(798\) | − | 1.37055i | − | 0.0485170i | ||||||
\(799\) | 4.18710 | − | 7.25227i | 0.148129 | − | 0.256567i | ||||
\(800\) | 14.0692 | + | 19.0678i | 0.497422 | + | 0.674149i | ||||
\(801\) | 19.1479 | 0.676558 | ||||||||
\(802\) | 11.8006 | + | 6.81307i | 0.416693 | + | 0.240578i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 0.903750 | + | 1.56534i | 0.0318728 | + | 0.0552053i | ||||
\(805\) | 3.62614 | − | 17.3739i | 0.127805 | − | 0.612348i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | − | 15.0000i | − | 0.528025i | ||||||
\(808\) | −13.5000 | + | 7.79423i | −0.474928 | + | 0.274200i | ||||
\(809\) | −27.4129 | − | 47.4805i | −0.963785 | − | 1.66933i | −0.712843 | − | 0.701323i | \(-0.752593\pi\) |
−0.250942 | − | 0.968002i | \(-0.580740\pi\) | |||||||
\(810\) | 0.680750 | − | 0.761669i | 0.0239191 | − | 0.0267623i | ||||
\(811\) | −50.5155 | −1.77384 | −0.886920 | − | 0.461923i | \(-0.847160\pi\) | ||||
−0.886920 | + | 0.461923i | \(0.847160\pi\) | |||||||
\(812\) | 12.3131 | + | 7.10895i | 0.432104 | + | 0.249475i | ||||
\(813\) | 7.50000 | + | 4.33013i | 0.263036 | + | 0.151864i | ||||
\(814\) | −9.59386 | −0.336264 | ||||||||
\(815\) | −31.3973 | + | 35.1294i | −1.09980 | + | 1.23053i | ||||
\(816\) | −6.39564 | − | 11.0776i | −0.223892 | − | 0.387793i | ||||
\(817\) | −15.8739 | + | 9.16478i | −0.555356 | + | 0.320635i | ||||
\(818\) | 3.95644i | 0.138334i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.16515 | − | 10.3739i | 0.0756104 | − | 0.362271i | ||||
\(821\) | 9.06943 | + | 15.7087i | 0.316525 | + | 0.548238i | 0.979761 | − | 0.200173i | \(-0.0641505\pi\) |
−0.663235 | + | 0.748411i | \(0.730817\pi\) | |||||||
\(822\) | −4.14938 | + | 2.39564i | −0.144726 | + | 0.0835577i | ||||
\(823\) | 27.2083 | + | 15.7087i | 0.948421 | + | 0.547571i | 0.892590 | − | 0.450869i | \(-0.148886\pi\) |
0.0558311 | + | 0.998440i | \(0.482219\pi\) | |||||||
\(824\) | −5.48220 | −0.190982 | ||||||||
\(825\) | 7.85425 | + | 10.6448i | 0.273450 | + | 0.370603i | ||||
\(826\) | 5.51993 | − | 9.56080i | 0.192063 | − | 0.332663i | ||||
\(827\) | 10.7737i | 0.374638i | 0.982299 | + | 0.187319i | \(0.0599799\pi\) | ||||
−0.982299 | + | 0.187319i | \(0.940020\pi\) | |||||||
\(828\) | −14.2179 | − | 8.20871i | −0.494106 | − | 0.285272i | ||||
\(829\) | 16.6652 | + | 28.8649i | 0.578805 | + | 1.00252i | 0.995617 | + | 0.0935264i | \(0.0298139\pi\) |
−0.416812 | + | 0.908993i | \(0.636853\pi\) | |||||||
\(830\) | −5.83636 | + | 1.92013i | −0.202583 | + | 0.0666487i | ||||
\(831\) | 7.41742 | 0.257308 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 18.3303i | 0.635107i | ||||||||
\(834\) | −4.96773 | − | 8.60436i | −0.172018 | − | 0.297944i | ||||
\(835\) | 6.69034 | + | 20.3357i | 0.231529 | + | 0.703747i | ||||
\(836\) | −4.10436 | + | 7.10895i | −0.141952 | + | 0.245868i | ||||
\(837\) | − | 31.0260i | − | 1.07242i | ||||||
\(838\) | −2.30852 | − | 1.33283i | −0.0797466 | − | 0.0460417i | ||||
\(839\) | 21.8413 | − | 37.8303i | 0.754047 | − | 1.30605i | −0.191800 | − | 0.981434i | \(-0.561433\pi\) |
0.945847 | − | 0.324613i | \(-0.105234\pi\) | |||||||
\(840\) | −6.56670 | − | 1.37055i | −0.226573 | − | 0.0472885i | ||||
\(841\) | 4.00000 | − | 6.92820i | 0.137931 | − | 0.238904i | ||||
\(842\) | 2.16900 | − | 1.25227i | 0.0747487 | − | 0.0431562i | ||||
\(843\) | 3.16515 | − | 1.82740i | 0.109014 | − | 0.0629390i | ||||
\(844\) | −0.295834 | −0.0101830 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −1.66970 | −0.0574054 | ||||||||
\(847\) | −6.00000 | + | 3.46410i | −0.206162 | + | 0.119028i | ||||
\(848\) | −18.3296 | + | 10.5826i | −0.629440 | + | 0.363407i | ||||
\(849\) | 13.8739 | − | 24.0302i | 0.476150 | − | 0.824716i | ||||
\(850\) | 9.59386 | + | 4.18710i | 0.329067 | + | 0.143616i | ||||
\(851\) | −18.1865 | + | 31.5000i | −0.623426 | + | 1.07981i | ||||
\(852\) | 10.8956 | + | 6.29060i | 0.373279 | + | 0.215513i | ||||
\(853\) | − | 5.63310i | − | 0.192874i | −0.995339 | − | 0.0964369i | \(-0.969255\pi\) | ||
0.995339 | − | 0.0964369i | \(-0.0307446\pi\) | |||||||
\(854\) | −0.560795 | + | 0.971326i | −0.0191900 | + | 0.0332381i | ||||
\(855\) | −7.35799 | + | 2.42074i | −0.251638 | + | 0.0827875i | ||||
\(856\) | −9.16478 | − | 15.8739i | −0.313246 | − | 0.542557i | ||||
\(857\) | 4.74773i | 0.162179i | 0.996707 | + | 0.0810896i | \(0.0258400\pi\) | ||||
−0.996707 | + | 0.0810896i | \(0.974160\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 44.2432 | 1.50956 | 0.754779 | − | 0.655979i | \(-0.227744\pi\) | ||||
0.754779 | + | 0.655979i | \(0.227744\pi\) | |||||||
\(860\) | 13.2469 | + | 40.2648i | 0.451715 | + | 1.37302i | ||||
\(861\) | 2.29129 | + | 3.96863i | 0.0780869 | + | 0.135250i | ||||
\(862\) | 3.35093 | + | 1.93466i | 0.114133 | + | 0.0658947i | ||||
\(863\) | − | 13.6657i | − | 0.465186i | −0.972574 | − | 0.232593i | \(-0.925279\pi\) | ||
0.972574 | − | 0.232593i | \(-0.0747210\pi\) | |||||||
\(864\) | −11.8483 | + | 20.5218i | −0.403086 | + | 0.698165i | ||||
\(865\) | −24.7096 | + | 27.6468i | −0.840152 | + | 0.940019i | ||||
\(866\) | −4.45325 | −0.151328 | ||||||||
\(867\) | −3.46410 | − | 2.00000i | −0.117647 | − | 0.0679236i | ||||
\(868\) | 16.6730 | − | 9.62614i | 0.565917 | − | 0.326732i | ||||
\(869\) | 7.93725 | + | 13.7477i | 0.269253 | + | 0.466360i | ||||
\(870\) | 0.956439 | − | 4.58258i | 0.0324263 | − | 0.155364i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | − | 22.7477i | − | 0.770335i | ||||||
\(873\) | −19.7477 | + | 11.4014i | −0.668359 | + | 0.385877i | ||||
\(874\) | −1.81307 | − | 3.14033i | −0.0613279 | − | 0.106223i | ||||
\(875\) | −17.6027 | + | 8.07130i | −0.595079 | + | 0.272860i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.87386 | + | 3.96863i | 0.232114 | + | 0.134011i | 0.611547 | − | 0.791208i | \(-0.290548\pi\) |
−0.379433 | + | 0.925219i | \(0.623881\pi\) | |||||||
\(878\) | 5.73504 | + | 3.31113i | 0.193548 | + | 0.111745i | ||||
\(879\) | 18.1389 | 0.611809 | ||||||||
\(880\) | 12.3125 | + | 11.0044i | 0.415054 | + | 0.370959i | ||||
\(881\) | 18.2477 | + | 31.6060i | 0.614782 | + | 1.06483i | 0.990423 | + | 0.138068i | \(0.0440892\pi\) |
−0.375641 | + | 0.926765i | \(0.622578\pi\) | |||||||
\(882\) | 3.16515 | − | 1.82740i | 0.106576 | − | 0.0615318i | ||||
\(883\) | 36.2432i | 1.21968i | 0.792524 | + | 0.609840i | \(0.208766\pi\) | ||||
−0.792524 | + | 0.609840i | \(0.791234\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 30.5390 | + | 6.37386i | 1.02656 | + | 0.214255i | ||||
\(886\) | −4.54860 | − | 7.87841i | −0.152813 | − | 0.264680i | ||||
\(887\) | 47.1944 | − | 27.2477i | 1.58463 | − | 0.914889i | 0.590465 | − | 0.807064i | \(-0.298945\pi\) |
0.994170 | − | 0.107826i | \(-0.0343888\pi\) | |||||||
\(888\) | 11.9059 | + | 6.87386i | 0.399535 | + | 0.230672i | ||||
\(889\) | 30.7400 | 1.03099 | ||||||||
\(890\) | 6.51747 | − | 7.29219i | 0.218466 | − | 0.244435i | ||||
\(891\) | 1.32288 | − | 2.29129i | 0.0443180 | − | 0.0767610i | ||||
\(892\) | − | 15.5130i | − | 0.519414i | ||||||
\(893\) | 2.74110 | + | 1.58258i | 0.0917275 | + | 0.0529589i | ||||
\(894\) | 3.81307 | + | 6.60443i | 0.127528 | + | 0.220885i | ||||
\(895\) | 38.5840 | − | 12.6939i | 1.28972 | − | 0.424311i | ||||
\(896\) | −19.1216 | −0.638808 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | − | 5.03447i | − | 0.168002i | ||||||
\(899\) | 14.2179 | + | 24.6261i | 0.474194 | + | 0.821328i | ||||
\(900\) | 2.00351 | + | 17.8005i | 0.0667836 | + | 0.593349i | ||||
\(901\) | −17.3739 | + | 30.0924i | −0.578807 | + | 1.00252i | ||||
\(902\) | 3.19795i | 0.106480i | ||||||||
\(903\) | −15.8739 | − | 9.16478i | −0.528249 | − | 0.304985i | ||||
\(904\) | 6.42368 | − | 11.1261i | 0.213648 | − | 0.370050i | ||||
\(905\) | 3.99640 | − | 19.1479i | 0.132845 | − | 0.636498i | ||||
\(906\) | −2.20871 | + | 3.82560i | −0.0733795 | + | 0.127097i | ||||
\(907\) | 5.41463 | − | 3.12614i | 0.179790 | − | 0.103802i | −0.407404 | − | 0.913248i | \(-0.633566\pi\) |
0.587194 | + | 0.809446i | \(0.300233\pi\) | |||||||
\(908\) | 1.26951 | − | 0.732950i | 0.0421301 | − | 0.0243238i | ||||
\(909\) | −18.0000 | −0.597022 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −7.91288 | −0.262165 | −0.131083 | − | 0.991371i | \(-0.541845\pi\) | ||||
−0.131083 | + | 0.991371i | \(0.541845\pi\) | |||||||
\(912\) | 4.18693 | − | 2.41733i | 0.138643 | − | 0.0800457i | ||||
\(913\) | −13.7810 | + | 7.95644i | −0.456083 | + | 0.263320i | ||||
\(914\) | 0.395644 | − | 0.685275i | 0.0130867 | − | 0.0226669i | ||||
\(915\) | −3.10260 | − | 0.647551i | −0.102569 | − | 0.0214074i | ||||
\(916\) | 23.5257 | − | 40.7477i | 0.777311 | − | 1.34634i | ||||
\(917\) | 11.3739 | + | 6.56670i | 0.375598 | + | 0.216852i | ||||
\(918\) | 10.4678i | 0.345487i | ||||||||
\(919\) | 27.0826 | − | 46.9084i | 0.893372 | − | 1.54737i | 0.0575648 | − | 0.998342i | \(-0.481666\pi\) |
0.835807 | − | 0.549023i | \(-0.185000\pi\) | |||||||
\(920\) | −16.8593 | + | 5.54661i | −0.555834 | + | 0.182866i | ||||
\(921\) | −12.1244 | − | 21.0000i | −0.399511 | − | 0.691974i | ||||
\(922\) | 16.3739i | 0.539244i | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −8.20871 | −0.270047 | ||||||||
\(925\) | 39.4373 | − | 4.43881i | 1.29669 | − | 0.145947i | ||||
\(926\) | 9.00000 | + | 15.5885i | 0.295758 | + | 0.512268i | ||||
\(927\) | −5.48220 | − | 3.16515i | −0.180059 | − | 0.103957i | ||||
\(928\) | − | 21.7182i | − | 0.712935i | ||||||
\(929\) | −13.1811 | + | 22.8303i | −0.432457 | + | 0.749038i | −0.997084 | − | 0.0763082i | \(-0.975687\pi\) |
0.564627 | + | 0.825346i | \(0.309020\pi\) | |||||||
\(930\) | −4.72631 | − | 4.22419i | −0.154982 | − | 0.138517i | ||||
\(931\) | −6.92820 | −0.227063 | ||||||||
\(932\) | −4.39770 | − | 2.53901i | −0.144052 | − | 0.0831682i | ||||
\(933\) | 6.56670 | − | 3.79129i | 0.214984 | − | 0.124121i | ||||
\(934\) | 5.55765 | + | 9.62614i | 0.181852 | + | 0.314977i | ||||
\(935\) | 26.5390 | + | 5.53901i | 0.867919 | + | 0.181145i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 31.4955i | 1.02891i | 0.857517 | + | 0.514456i | \(0.172006\pi\) | ||||
−0.857517 | + | 0.514456i | \(0.827994\pi\) | |||||||
\(938\) | 0.691478 | − | 0.399225i | 0.0225775 | − | 0.0130352i | ||||
\(939\) | −1.62614 | − | 2.81655i | −0.0530670 | − | 0.0919147i | ||||
\(940\) | 4.87768 | − | 5.45748i | 0.159092 | − | 0.178003i | ||||
\(941\) | −26.4575 | −0.862490 | −0.431245 | − | 0.902235i | \(-0.641926\pi\) | ||||
−0.431245 | + | 0.902235i | \(0.641926\pi\) | |||||||
\(942\) | −3.62614 | − | 2.09355i | −0.118146 | − | 0.0682116i | ||||
\(943\) | 10.5000 | + | 6.06218i | 0.341927 | + | 0.197412i | ||||
\(944\) | 38.9434 | 1.26750 | ||||||||
\(945\) | −14.4385 | − | 12.9046i | −0.469686 | − | 0.419787i | ||||
\(946\) | −6.39564 | − | 11.0776i | −0.207940 | − | 0.360163i | ||||
\(947\) | −12.4129 | + | 7.16658i | −0.403364 | + | 0.232883i | −0.687935 | − | 0.725773i | \(-0.741482\pi\) |
0.284570 | + | 0.958655i | \(0.408149\pi\) | |||||||
\(948\) | − | 10.7477i | − | 0.349070i | ||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −1.58258 | + | 3.62614i | −0.0513455 | + | 0.117647i | ||||
\(951\) | −0.0953502 | − | 0.165151i | −0.00309194 | − | 0.00535540i | ||||
\(952\) | −11.9059 | + | 6.87386i | −0.385872 | + | 0.222783i | ||||
\(953\) | 6.99578 | + | 4.03901i | 0.226616 | + | 0.130837i | 0.609010 | − | 0.793163i | \(-0.291567\pi\) |
−0.382394 | + | 0.923999i | \(0.624900\pi\) | |||||||
\(954\) | 6.92820 | 0.224309 | ||||||||
\(955\) | 27.6468 | + | 24.7096i | 0.894629 | + | 0.799584i | ||||
\(956\) | −0.170800 | + | 0.295834i | −0.00552406 | + | 0.00956794i | ||||
\(957\) | − | 12.1244i | − | 0.391925i | ||||||
\(958\) | −1.84522 | − | 1.06534i | −0.0596165 | − | 0.0344196i | ||||
\(959\) | −9.08258 | − | 15.7315i | −0.293292 | − | 0.507996i | ||||
\(960\) | −2.38812 | − | 7.25885i | −0.0770762 | − | 0.234278i | ||||
\(961\) | 7.50455 | 0.242082 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | − | 21.1652i | − | 0.682037i | ||||||
\(964\) | −1.55130 | − | 2.68693i | −0.0499640 | − | 0.0865402i | ||||
\(965\) | −10.3881 | − | 31.5753i | −0.334404 | − | 1.01644i | ||||
\(966\) | 1.81307 | − | 3.14033i | 0.0583345 | − | 0.101038i | ||||
\(967\) | 37.3821i | 1.20213i | 0.799201 | + | 0.601064i | \(0.205256\pi\) | ||||
−0.799201 | + | 0.601064i | \(0.794744\pi\) | |||||||
\(968\) | 6.00000 | + | 3.46410i | 0.192847 | + | 0.111340i | ||||
\(969\) | 3.96863 | − | 6.87386i | 0.127491 | − | 0.220820i | ||||
\(970\) | −2.37960 | + | 11.4014i | −0.0764044 | + | 0.366075i | ||||
\(971\) | 9.24773 | − | 16.0175i | 0.296774 | − | 0.514027i | −0.678622 | − | 0.734487i | \(-0.737423\pi\) |
0.975396 | + | 0.220460i | \(0.0707560\pi\) | |||||||
\(972\) | −24.8208 | + | 14.3303i | −0.796128 | + | 0.459645i | ||||
\(973\) | 32.6216 | − | 18.8341i | 1.04580 | − | 0.603793i | ||||
\(974\) | −4.87841 | −0.156314 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −3.95644 | −0.126643 | ||||||||
\(977\) | −30.5780 | + | 17.6542i | −0.978278 | + | 0.564809i | −0.901750 | − | 0.432258i | \(-0.857717\pi\) |
−0.0765281 | + | 0.997067i | \(0.524383\pi\) | |||||||
\(978\) | −8.33648 | + | 4.81307i | −0.266571 | + | 0.153905i | ||||
\(979\) | 12.6652 | − | 21.9367i | 0.404780 | − | 0.701100i | ||||
\(980\) | −3.27340 | + | 15.6838i | −0.104565 | + | 0.501001i | ||||
\(981\) | 13.1334 | − | 22.7477i | 0.419317 | − | 0.726279i | ||||
\(982\) | 7.68239 | + | 4.43543i | 0.245155 | + | 0.141540i | ||||
\(983\) | 55.0840i | 1.75691i | 0.477827 | + | 0.878454i | \(0.341424\pi\) | ||||
−0.477827 | + | 0.878454i | \(0.658576\pi\) | |||||||
\(984\) | 2.29129 | − | 3.96863i | 0.0730436 | − | 0.126515i | ||||
\(985\) | −10.2548 | − | 31.1702i | −0.326746 | − | 0.993165i | ||||
\(986\) | −4.79693 | − | 8.30852i | −0.152765 | − | 0.264597i | ||||
\(987\) | 3.16515i | 0.100748i | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −48.4955 | −1.54207 | ||||||||
\(990\) | −1.68931 | − | 5.13478i | −0.0536899 | − | 0.163194i | ||||
\(991\) | 6.50000 | + | 11.2583i | 0.206479 | + | 0.357633i | 0.950603 | − | 0.310409i | \(-0.100466\pi\) |
−0.744124 | + | 0.668042i | \(0.767133\pi\) | |||||||
\(992\) | −25.4684 | − | 14.7042i | −0.808621 | − | 0.466858i | ||||
\(993\) | 4.47315i | 0.141951i | ||||||||
\(994\) | 2.77883 | − | 4.81307i | 0.0881390 | − | 0.152661i | ||||
\(995\) | −17.6435 | − | 15.7690i | −0.559336 | − | 0.499912i | ||||
\(996\) | 10.7737 | 0.341378 | ||||||||
\(997\) | −0.143025 | − | 0.0825757i | −0.00452966 | − | 0.00261520i | 0.497733 | − | 0.867330i | \(-0.334166\pi\) |
−0.502263 | + | 0.864715i | \(0.667499\pi\) | |||||||
\(998\) | 0.286051 | − | 0.165151i | 0.00905477 | − | 0.00522778i | ||||
\(999\) | 19.8431 | + | 34.3693i | 0.627809 | + | 1.08740i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))