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 | 484.4 | ||
Root | \(-0.228425 + 1.39564i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.484 |
Dual form | 845.2.n.c.529.4 |
$q$-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 | −0.228714 | − | 0.973494i | \(-0.573452\pi\) |
0.728714 | + | 0.684819i | \(0.240119\pi\) | |||||||
\(4\) | −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 | ||||
\(10\) | 0.680750 | + | 0.761669i | 0.215272 | + | 0.240861i | ||||
\(11\) | −1.32288 | − | 2.29129i | −0.398862 | − | 0.690849i | 0.594724 | − | 0.803930i | \(-0.297261\pi\) |
−0.993586 | + | 0.113081i | \(0.963928\pi\) | |||||||
\(12\) | 1.79129i | 0.517100i | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | −0.791288 | −0.211481 | ||||||||
\(15\) | 1.49009 | + | 1.66722i | 0.384741 | + | 0.430474i | ||||
\(16\) | −1.39564 | − | 2.41733i | −0.348911 | − | 0.604332i | ||||
\(17\) | 3.96863 | + | 2.29129i | 0.962533 | + | 0.555719i | 0.896952 | − | 0.442128i | \(-0.145776\pi\) |
0.0655816 | + | 0.997847i | \(0.479110\pi\) | |||||||
\(18\) | 0.913701i | 0.215361i | ||||||||
\(19\) | −0.866025 | + | 1.50000i | −0.198680 | + | 0.344124i | −0.948101 | − | 0.317970i | \(-0.896999\pi\) |
0.749421 | + | 0.662094i | \(0.230332\pi\) | |||||||
\(20\) | −3.80482 | − | 1.25176i | −0.850783 | − | 0.279903i | ||||
\(21\) | −1.73205 | −0.377964 | ||||||||
\(22\) | −1.04678 | − | 0.604356i | −0.223173 | − | 0.128849i | ||||
\(23\) | −3.96863 | + | 2.29129i | −0.827516 | + | 0.477767i | −0.853001 | − | 0.521909i | \(-0.825220\pi\) |
0.0254855 | + | 0.999675i | \(0.491887\pi\) | |||||||
\(24\) | 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 | \(0.693438\pi\) | |||||||
\(30\) | 0.970381 | + | 0.319250i | 0.177167 | + | 0.0582868i | ||||
\(31\) | −6.20520 | −1.11449 | −0.557244 | − | 0.830349i | \(-0.688141\pi\) | ||||
−0.557244 | + | 0.830349i | \(0.688141\pi\) | |||||||
\(32\) | −4.10436 | − | 2.36965i | −0.725555 | − | 0.418899i | ||||
\(33\) | −2.29129 | − | 1.32288i | −0.398862 | − | 0.230283i | ||||
\(34\) | 2.09355 | 0.359041 | ||||||||
\(35\) | 1.21037 | − | 3.67900i | 0.204590 | − | 0.621864i | ||||
\(36\) | −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 | 0.744042 | − | 0.668132i | \(-0.232906\pi\) |
−0.950641 | + | 0.310293i | \(0.899573\pi\) | |||||||
\(42\) | −0.685275 | + | 0.395644i | −0.105740 | + | 0.0610492i | ||||
\(43\) | 9.16478 | + | 5.29129i | 1.39762 | + | 0.806914i | 0.994142 | − | 0.108078i | \(-0.0344695\pi\) |
0.403473 | + | 0.914991i | \(0.367803\pi\) | |||||||
\(44\) | 4.73930 | 0.714477 | ||||||||
\(45\) | −4.24814 | − | 1.39761i | −0.633275 | − | 0.208344i | ||||
\(46\) | −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 | ||||
\(50\) | −1.35622 | + | 1.83806i | −0.191798 | + | 0.259941i | ||||
\(51\) | 4.58258 | 0.641689 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 7.58258i | 1.04155i | 0.853695 | + | 0.520773i | \(0.174356\pi\) | ||||
−0.853695 | + | 0.520773i | \(0.825644\pi\) | |||||||
\(54\) | 1.14213 | + | 1.97822i | 0.155424 | + | 0.269202i | ||||
\(55\) | 4.41105 | − | 3.94242i | 0.594785 | − | 0.531596i | ||||
\(56\) | 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 | \(-0.470804\pi\) |
0.816588 | − | 0.577221i | \(-0.195863\pi\) | |||||||
\(60\) | −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 | −0.578841 | − | 0.815440i | \(-0.696495\pi\) |
0.995613 | + | 0.0935712i | \(0.0298283\pi\) | |||||||
\(72\) | −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 | ||||
\(75\) | −2.96863 | + | 4.02334i | −0.342788 | + | 0.464575i | ||||
\(76\) | −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 | \(0.390410\pi\) | |||||||
\(80\) | 4.65369 | − | 4.15928i | 0.520298 | − | 0.465022i | ||||
\(81\) | −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 | ||||
\(85\) | −3.20233 | + | 9.73371i | −0.347342 | + | 1.05577i | ||||
\(86\) | 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 | \(0.00273353\pi\) |
−0.492545 | + | 0.870287i | \(0.663933\pi\) | |||||||
\(90\) | −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 | ||||
\(95\) | −3.67900 | − | 1.21037i | −0.377457 | − | 0.124181i | ||||
\(96\) | −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 | ||||||||
\(100\) | 1.00175 | − | 8.90024i | 0.100175 | − | 0.890024i | ||||
\(101\) | 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 | \(-0.950161\pi\) | ||
0.987767 | − | 0.155936i | \(-0.0498393\pi\) | |||||||
\(104\) | 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 | 0.0133631 | − | 0.999911i | \(-0.495746\pi\) |
0.872630 | + | 0.488383i | \(0.162413\pi\) | |||||||
\(108\) | −7.75650 | − | 4.47822i | −0.746370 | − | 0.430917i | ||||
\(109\) | 13.1334 | 1.25795 | 0.628976 | − | 0.777425i | \(-0.283474\pi\) | ||||
0.628976 | + | 0.777425i | \(0.283474\pi\) | |||||||
\(110\) | 0.844656 | − | 2.56739i | 0.0805348 | − | 0.244791i | ||||
\(111\) | −3.96863 | + | 6.87386i | −0.376685 | + | 0.652438i | ||||
\(112\) | 4.83465i | 0.456832i | ||||||||
\(113\) | 6.42368 | + | 3.70871i | 0.604289 | + | 0.348886i | 0.770727 | − | 0.637166i | \(-0.219893\pi\) |
−0.166438 | + | 0.986052i | \(0.553227\pi\) | |||||||
\(114\) | 0.395644 | + | 0.685275i | 0.0370554 | + | 0.0641819i | ||||
\(115\) | −6.82847 | − | 7.64016i | −0.636758 | − | 0.712448i | ||||
\(116\) | −8.20871 | −0.762160 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 6.37386i | − | 0.586762i | ||||||
\(119\) | −3.96863 | − | 6.87386i | −0.363803 | − | 0.630126i | ||||
\(120\) | −2.88771 | + | 2.58092i | −0.263610 | + | 0.235605i | ||||
\(121\) | 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 | 0.373729 | − | 0.927538i | \(-0.378079\pi\) |
0.990136 | + | 0.140110i | \(0.0447455\pi\) | |||||||
\(128\) | 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 | \(0.792967\pi\) | |||||||
\(140\) | 4.62317 | + | 5.17272i | 0.390729 | + | 0.437174i | ||||
\(141\) | 0.913701 | + | 1.58258i | 0.0769475 | + | 0.133277i | ||||
\(142\) | − | 3.20871i | − | 0.269269i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 5.58258 | 0.465215 | ||||||||
\(145\) | −7.64016 | + | 6.82847i | −0.634480 | + | 0.567074i | ||||
\(146\) | 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 | \(0.406326\pi\) |
−0.973823 | + | 0.227308i | \(0.927008\pi\) | |||||||
\(150\) | −0.255488 | + | 2.26992i | −0.0208605 | + | 0.185338i | ||||
\(151\) | −9.66930 | −0.786877 | −0.393438 | − | 0.919351i | \(-0.628715\pi\) | ||||
−0.393438 | + | 0.919351i | \(0.628715\pi\) | |||||||
\(152\) | −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 | \(-0.880820\pi\) | ||
0.930721 | − | 0.365729i | \(-0.119180\pi\) | |||||||
\(158\) | 2.37386 | − | 1.37055i | 0.188854 | − | 0.109035i | ||||
\(159\) | 3.79129 | + | 6.56670i | 0.300669 | + | 0.520773i | ||||
\(160\) | 3.31186 | − | 10.0666i | 0.261825 | − | 0.795835i | ||||
\(161\) | 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 | ||||||||
\(165\) | 1.84887 | − | 5.61976i | 0.143934 | − | 0.437498i | ||||
\(166\) | 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 | −0.157775 | − | 0.987475i | \(-0.550432\pi\) |
−0.934066 | + | 0.357100i | \(0.883766\pi\) | |||||||
\(174\) | 2.09355 | 0.158712 | ||||||||
\(175\) | 8.60591 | + | 0.968627i | 0.650546 | + | 0.0732213i | ||||
\(176\) | −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 | \(-0.404194\pi\) | |||||||
\(180\) | 5.97294 | − | 5.33838i | 0.445196 | − | 0.397899i | ||||
\(181\) | −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 | ||||
\(185\) | −11.8273 | − | 13.2331i | −0.869557 | − | 0.972920i | ||||
\(186\) | −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 | ||||
\(205\) | 4.41105 | − | 3.94242i | 0.308081 | − | 0.275351i | ||||
\(206\) | −0.723000 | − | 1.25227i | −0.0503738 | − | 0.0872500i | ||||
\(207\) | − | 9.16515i | − | 0.637022i | ||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 4.58258 | 0.316983 | ||||||||
\(210\) | −1.17909 | − | 1.31925i | −0.0813652 | − | 0.0910369i | ||||
\(211\) | 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 | ||||
\(215\) | −7.39517 | + | 22.4781i | −0.504347 | + | 1.53300i | ||||
\(216\) | −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 | ||||
\(225\) | 1.11847 | − | 9.93725i | 0.0745649 | − | 0.662484i | ||||
\(226\) | 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 | \(-0.165482\pi\) | ||||
0.867880 | + | 0.496774i | \(0.165482\pi\) | |||||||
\(230\) | −4.44685 | − | 1.46299i | −0.293216 | − | 0.0964665i | ||||
\(231\) | 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 | \(-0.970400\pi\) | ||
0.995679 | − | 0.0928586i | \(-0.0296004\pi\) | |||||||
\(234\) | 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 | \(-0.501963\pi\) | ||||
−0.00616769 | + | 0.999981i | \(0.501963\pi\) | |||||||
\(240\) | 1.95057 | − | 5.92889i | 0.125909 | − | 0.382708i | ||||
\(241\) | 0.866025 | − | 1.50000i | 0.0557856 | − | 0.0966235i | −0.836784 | − | 0.547533i | \(-0.815567\pi\) |
0.892570 | + | 0.450910i | \(0.148900\pi\) | |||||||
\(242\) | − | 1.82740i | − | 0.117470i | ||||||
\(243\) | −13.8564 | − | 8.00000i | −0.888889 | − | 0.513200i | ||||
\(244\) | 1.26951 | + | 2.19885i | 0.0812719 | + | 0.140767i | ||||
\(245\) | 6.66888 | − | 5.96038i | 0.426059 | − | 0.380795i | ||||
\(246\) | −1.20871 | −0.0770647 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | − | 10.7477i | − | 0.682481i | ||||||
\(249\) | 3.00725 | + | 5.20871i | 0.190577 | + | 0.330089i | ||||
\(250\) | −4.64293 | − | 2.12891i | −0.293644 | − | 0.134644i | ||||
\(251\) | −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 | −0.902663 | − | 0.430348i | \(-0.858391\pi\) |
−0.0786397 | + | 0.996903i | \(0.525058\pi\) | |||||||
\(258\) | 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 | −0.240059 | − | 0.970758i | \(-0.577167\pi\) |
0.720672 | + | 0.693276i | \(0.243833\pi\) | |||||||
\(264\) | 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 | \(0.317844\pi\) | |||||||
\(270\) | −3.80835 | + | 3.40375i | −0.231769 | + | 0.207146i | ||||
\(271\) | 4.33013 | + | 7.50000i | 0.263036 | + | 0.455593i | 0.967047 | − | 0.254597i | \(-0.0819427\pi\) |
−0.704011 | + | 0.710189i | \(0.748609\pi\) | |||||||
\(272\) | − | 12.7913i | − | 0.775586i | ||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.79129 | 0.289452 | ||||||||
\(275\) | 10.6448 | + | 7.85425i | 0.641903 | + | 0.473629i | ||||
\(276\) | −4.10436 | − | 7.10895i | −0.247053 | − | 0.427909i | ||||
\(277\) | 6.42368 | + | 3.70871i | 0.385961 | + | 0.222835i | 0.680409 | − | 0.732833i | \(-0.261802\pi\) |
−0.294447 | + | 0.955668i | \(0.595136\pi\) | |||||||
\(278\) | 9.93545i | 0.595889i | ||||||||
\(279\) | 6.20520 | − | 10.7477i | 0.371496 | − | 0.643450i | ||||
\(280\) | 6.37221 | + | 2.09642i | 0.380812 | + | 0.125285i | ||||
\(281\) | 3.65480 | 0.218027 | 0.109014 | − | 0.994040i | \(-0.465231\pi\) | ||||
0.109014 | + | 0.994040i | \(0.465231\pi\) | |||||||
\(282\) | 0.723000 | + | 0.417424i | 0.0430540 | + | 0.0248573i | ||||
\(283\) | 24.0302 | − | 13.8739i | 1.42845 | − | 0.824716i | 0.431451 | − | 0.902136i | \(-0.358002\pi\) |
0.996998 | + | 0.0774209i | \(0.0246685\pi\) | |||||||
\(284\) | 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 | ||||
\(290\) | −1.46299 | + | 4.44685i | −0.0859096 | + | 0.261128i | ||||
\(291\) | 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 | ||||||||
\(295\) | 29.6345 | + | 9.74958i | 1.72539 | + | 0.567642i | ||||
\(296\) | −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 | ||||||||
\(305\) | 3.01071 | + | 0.990505i | 0.172393 | + | 0.0567162i | ||||
\(306\) | −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 | ||||
\(310\) | −4.22419 | − | 4.72631i | −0.239918 | − | 0.268437i | ||||
\(311\) | −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 | \(-0.970701\pi\) | ||
0.995767 | − | 0.0919147i | \(-0.0292987\pi\) | |||||||
\(314\) | −2.09355 | − | 3.62614i | −0.118146 | − | 0.204635i | ||||
\(315\) | 5.16184 | + | 5.77542i | 0.290837 | + | 0.325408i | ||||
\(316\) | −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 | −0.920923 | − | 0.389744i | \(-0.872563\pi\) |
0.797990 | + | 0.602671i | \(0.205897\pi\) | |||||||
\(332\) | −9.33030 | − | 5.38685i | −0.512067 | − | 0.295642i | ||||
\(333\) | − | 15.8745i | − | 0.869918i | ||||||
\(334\) | 2.18693 | − | 3.78788i | 0.119664 | − | 0.207263i | ||||
\(335\) | −1.50358 | − | 1.68231i | −0.0821494 | − | 0.0919143i | ||||
\(336\) | 2.41733 | + | 4.18693i | 0.131876 | + | 0.228416i | ||||
\(337\) | 30.7477i | 1.67494i | 0.546487 | + | 0.837468i | \(0.315965\pi\) | ||||
−0.546487 | + | 0.837468i | \(0.684035\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 7.41742 | 0.402859 | ||||||||
\(340\) | −12.2318 | − | 13.6857i | −0.663360 | − | 0.742212i | ||||
\(341\) | 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 | ||||
\(345\) | −9.73371 | − | 3.20233i | −0.524045 | − | 0.172408i | ||||
\(346\) | −7.57575 | −0.407275 | ||||||||
\(347\) | −18.4726 | − | 10.6652i | −0.991660 | − | 0.572535i | −0.0858901 | − | 0.996305i | \(-0.527373\pi\) |
−0.905770 | + | 0.423769i | \(0.860707\pi\) | |||||||
\(348\) | −7.10895 | + | 4.10436i | −0.381080 | + | 0.220017i | ||||
\(349\) | 1.22753 | + | 2.12614i | 0.0657079 | + | 0.113809i | 0.897008 | − | 0.442015i | \(-0.145736\pi\) |
−0.831300 | + | 0.555824i | \(0.812403\pi\) | |||||||
\(350\) | 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 | ||||
\(355\) | 14.9185 | + | 4.90811i | 0.791792 | + | 0.260495i | ||||
\(356\) | −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 | \(-0.672341\pi\) | ||||
−0.515359 | + | 0.856975i | \(0.672341\pi\) | |||||||
\(360\) | 2.42074 | − | 7.35799i | 0.127584 | − | 0.387800i | ||||
\(361\) | 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 | −0.459976 | − | 0.887932i | \(-0.652142\pi\) |
0.538984 | + | 0.842316i | \(0.318808\pi\) | |||||||
\(368\) | 11.0776 | + | 6.39564i | 0.577459 | + | 0.333396i | ||||
\(369\) | 5.29150 | 0.275465 | ||||||||
\(370\) | −7.70216 | − | 2.53397i | −0.400416 | − | 0.131735i | ||||
\(371\) | 6.56670 | − | 11.3739i | 0.340926 | − | 0.590502i | ||||
\(372\) | − | 11.1153i | − | 0.576302i | ||||||
\(373\) | 11.2583 | + | 6.50000i | 0.582934 | + | 0.336557i | 0.762299 | − | 0.647225i | \(-0.224071\pi\) |
−0.179364 | + | 0.983783i | \(0.557404\pi\) | |||||||
\(374\) | −2.76951 | − | 4.79693i | −0.143208 | − | 0.248043i | ||||
\(375\) | −10.1629 | − | 4.65997i | −0.524810 | − | 0.240640i | ||||
\(376\) | −3.16515 | −0.163230 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | − | 3.95644i | − | 0.203497i | ||||||
\(379\) | 5.33918 | + | 9.24773i | 0.274255 | + | 0.475024i | 0.969947 | − | 0.243317i | \(-0.0782354\pi\) |
−0.695692 | + | 0.718340i | \(0.744902\pi\) | |||||||
\(380\) | 5.17272 | − | 4.62317i | 0.265355 | − | 0.237164i | ||||
\(381\) | 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 | ||||
\(400\) | 11.2303 | + | 8.28629i | 0.561515 | + | 0.414315i | ||||
\(401\) | −14.9131 | − | 25.8303i | −0.744726 | − | 1.28990i | −0.950323 | − | 0.311267i | \(-0.899247\pi\) |
0.205596 | − | 0.978637i | \(-0.434087\pi\) | |||||||
\(402\) | 0.460985i | 0.0229918i | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −16.1216 | −0.802079 | ||||||||
\(405\) | 1.66722 | − | 1.49009i | 0.0828448 | − | 0.0740434i | ||||
\(406\) | −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 | −0.738886 | − | 0.673830i | \(-0.764648\pi\) |
0.952997 | + | 0.302979i | \(0.0979812\pi\) | |||||||
\(410\) | 0.844656 | − | 2.56739i | 0.0417146 | − | 0.126794i | ||||
\(411\) | 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 | \(0.878856\pi\) | |||||||
\(420\) | 6.59014 | + | 2.16812i | 0.321566 | + | 0.105793i | ||||
\(421\) | −5.48220 | −0.267186 | −0.133593 | − | 0.991036i | \(-0.542652\pi\) | ||||
−0.133593 | + | 0.991036i | \(0.542652\pi\) | |||||||
\(422\) | 0.0653411 | + | 0.0377247i | 0.00318076 | + | 0.00183641i | ||||
\(423\) | −3.16515 | − | 1.82740i | −0.153895 | − | 0.0888513i | ||||
\(424\) | −13.1334 | −0.637815 | ||||||||
\(425\) | −22.7691 | − | 2.56275i | −1.10446 | − | 0.124311i | ||||
\(426\) | −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 | 0.745826 | − | 0.666141i | \(-0.232055\pi\) |
−0.949808 | + | 0.312834i | \(0.898722\pi\) | |||||||
\(432\) | 12.0866 | − | 6.97822i | 0.581518 | − | 0.335740i | ||||
\(433\) | 8.44178 | + | 4.87386i | 0.405686 | + | 0.234223i | 0.688934 | − | 0.724824i | \(-0.258079\pi\) |
−0.283248 | + | 0.959047i | \(0.591412\pi\) | |||||||
\(434\) | 4.91010 | 0.235692 | ||||||||
\(435\) | −3.20233 | + | 9.73371i | −0.153540 | + | 0.466696i | ||||
\(436\) | −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 | \(0.720902\pi\) | |||||||
\(440\) | 6.82847 | + | 7.64016i | 0.325535 | + | 0.364230i | ||||
\(441\) | 8.00000 | 0.380952 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 19.9129i | 0.946089i | 0.881038 | + | 0.473045i | \(0.156845\pi\) | ||||
−0.881038 | + | 0.473045i | \(0.843155\pi\) | |||||||
\(444\) | −7.10895 | − | 12.3131i | −0.337376 | − | 0.584352i | ||||
\(445\) | −15.9619 | + | 14.2661i | −0.756666 | + | 0.676278i | ||||
\(446\) | −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 | −0.966250 | − | 0.257606i | \(-0.917066\pi\) |
0.706218 | + | 0.707994i | \(0.250400\pi\) | |||||||
\(450\) | −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 | \(-0.519012\pi\) |
0.894327 | − | 0.447414i | \(-0.147655\pi\) | |||||||
\(462\) | 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 | ||||
\(465\) | −9.24634 | − | 10.3454i | −0.428789 | − | 0.479758i | ||||
\(466\) | −0.647551 | − | 1.12159i | −0.0299972 | − | 0.0519567i | ||||
\(467\) | − | 24.3303i | − | 1.12587i | −0.826500 | − | 0.562936i | \(-0.809672\pi\) | ||
0.826500 | − | 0.562936i | \(-0.190328\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.74773 | 0.0807025 | ||||||||
\(470\) | −1.39188 | + | 1.24400i | −0.0642024 | + | 0.0573816i | ||||
\(471\) | −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 | ||||
\(475\) | 0.968627 | − | 8.60591i | 0.0444437 | − | 0.394866i | ||||
\(476\) | 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 | 0.914370 | − | 0.404880i | \(-0.132687\pi\) |
−0.807821 | + | 0.589427i | \(0.799353\pi\) | |||||||
\(480\) | −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 | ||||
\(485\) | −7.96734 | + | 24.2173i | −0.361778 | + | 1.09965i | ||||
\(486\) | −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 | ||||||||
\(490\) | 1.27700 | − | 3.88153i | 0.0576890 | − | 0.175349i | ||||
\(491\) | 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 | \(-0.505151\pi\) | ||||
−0.0161830 | + | 0.999869i | \(0.505151\pi\) | |||||||
\(500\) | 19.9394 | − | 1.87334i | 0.891717 | − | 0.0837781i | ||||
\(501\) | 4.78698 | − | 8.29129i | 0.213866 | − | 0.370427i | ||||
\(502\) | 0.0754495i | 0.00336747i | ||||||||
\(503\) | −0.143025 | − | 0.0825757i | −0.00637718 | − | 0.00368187i | 0.496808 | − | 0.867860i | \(-0.334505\pi\) |
−0.503185 | + | 0.864179i | \(0.667839\pi\) | |||||||
\(504\) | 3.00000 | + | 5.19615i | 0.133631 | + | 0.231455i | ||||
\(505\) | −15.0050 | + | 13.4109i | −0.667712 | + | 0.596775i | ||||
\(506\) | 5.53901 | 0.246239 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 31.7913i | 1.41051i | ||||||||
\(509\) | 4.23478 | + | 7.33485i | 0.187703 | + | 0.325111i | 0.944484 | − | 0.328557i | \(-0.106562\pi\) |
−0.756781 | + | 0.653669i | \(0.773229\pi\) | |||||||
\(510\) | 3.11959 | + | 3.49041i | 0.138138 | + | 0.154558i | ||||
\(511\) | 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 | −0.496870 | − | 0.867825i | \(-0.665517\pi\) |
0.503124 | + | 0.864214i | \(0.332184\pi\) | |||||||
\(524\) | 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 | ||||
\(530\) | −5.77542 | + | 5.16184i | −0.250868 | + | 0.224216i | ||||
\(531\) | 13.9518 | + | 24.1652i | 0.605455 | + | 1.04868i | ||||
\(532\) | 5.37386i | 0.232987i | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 4.37386 | 0.189276 | ||||||||
\(535\) | 15.7690 | + | 17.6435i | 0.681755 | + | 0.762794i | ||||
\(536\) | −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 | ||||
\(540\) | 6.25882 | − | 19.0241i | 0.269337 | − | 0.818667i | ||||
\(541\) | −10.3923 | −0.446800 | −0.223400 | − | 0.974727i | \(-0.571716\pi\) | ||||
−0.223400 | + | 0.974727i | \(0.571716\pi\) | |||||||
\(542\) | 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 | \(-0.789325\pi\) | ||
0.788853 | − | 0.614582i | \(-0.210675\pi\) | |||||||
\(548\) | −16.2695 | + | 9.39320i | −0.694999 | + | 0.401258i | ||||
\(549\) | 1.41742 | + | 2.45505i | 0.0604942 | + | 0.104779i | ||||
\(550\) | 6.00564 | + | 0.675957i | 0.256081 | + | 0.0288229i | ||||
\(551\) | −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 | ||||||||
\(555\) | −16.8593 | − | 5.54661i | −0.715636 | − | 0.235440i | ||||
\(556\) | −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 | 0.326682 | − | 0.945134i | \(-0.394069\pi\) |
−0.655169 | + | 0.755482i | \(0.727403\pi\) | |||||||
\(564\) | −3.27340 | −0.137835 | ||||||||
\(565\) | −5.18335 | + | 15.7551i | −0.218065 | + | 0.662823i | ||||
\(566\) | 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 | \(0.885257\pi\) | |||||||
\(570\) | −1.31925 | + | 1.17909i | −0.0552573 | + | 0.0493868i | ||||
\(571\) | 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 | ||||
\(575\) | 13.6040 | − | 18.4373i | 0.567324 | − | 0.768887i | ||||
\(576\) | −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 | ||||
\(595\) | 13.2331 | − | 11.8273i | 0.542506 | − | 0.484870i | ||||
\(596\) | −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 | \(0.602529\pi\) | |||||||
\(600\) | −6.96863 | − | 5.14181i | −0.284493 | − | 0.209914i | ||||
\(601\) | −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 | ||||
\(605\) | 8.49628 | + | 2.79523i | 0.345423 | + | 0.113642i | ||||
\(606\) | 4.11165 | 0.167024 | ||||||||
\(607\) | 6.70973 | + | 3.87386i | 0.272339 | + | 0.157235i | 0.629950 | − | 0.776635i | \(-0.283075\pi\) |
−0.357611 | + | 0.933871i | \(0.616409\pi\) | |||||||
\(608\) | 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 | ||||
\(615\) | 1.84887 | − | 5.61976i | 0.0745536 | − | 0.226611i | ||||
\(616\) | −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 | \(-0.703836\pi\) | ||||
−0.597493 | + | 0.801874i | \(0.703836\pi\) | |||||||
\(620\) | 23.6097 | + | 7.76745i | 0.948187 | + | 0.311948i | ||||
\(621\) | −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 | ||||||||
\(630\) | 3.36150 | + | 1.10591i | 0.133925 | + | 0.0440607i | ||||
\(631\) | 2.95958 | − | 5.12614i | 0.117819 | − | 0.204068i | −0.801084 | − | 0.598552i | \(-0.795743\pi\) |
0.918903 | + | 0.394483i | \(0.129076\pi\) | |||||||
\(632\) | 10.3923i | 0.413384i | ||||||||
\(633\) | 0.143025 | + | 0.0825757i | 0.00568475 | + | 0.00328209i | ||||
\(634\) | 0.0435608 | + | 0.0754495i | 0.00173002 | + | 0.00299648i | ||||
\(635\) | 26.4458 | + | 29.5893i | 1.04947 | + | 1.17422i | ||||
\(636\) | −13.5826 | −0.538584 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 5.53901i | − | 0.219292i | ||||||
\(639\) | 7.02355 | + | 12.1652i | 0.277847 | + | 0.481246i | ||||
\(640\) | 16.4504 | + | 18.4059i | 0.650260 | + | 0.727555i | ||||
\(641\) | 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 | 0.0358667 | − | 0.999357i | \(-0.488581\pi\) |
0.883402 | + | 0.468617i | \(0.155247\pi\) | |||||||
\(648\) | 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 | −0.998560 | − | 0.0536545i | \(-0.982913\pi\) |
−0.452814 | + | 0.891605i | \(0.649580\pi\) | |||||||
\(654\) | 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 | \(-0.0357724\pi\) | |||||||
\(660\) | 7.06201 | + | 7.90145i | 0.274888 | + | 0.307564i | ||||
\(661\) | 9.16478 | + | 15.8739i | 0.356469 | + | 0.617422i | 0.987368 | − | 0.158443i | \(-0.0506473\pi\) |
−0.630900 | + | 0.775865i | \(0.717314\pi\) | |||||||
\(662\) | 2.04356i | 0.0794252i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −10.4174 | −0.404274 | ||||||||
\(665\) | 4.47028 | + | 5.00166i | 0.173350 | + | 0.193956i | ||||
\(666\) | −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 | ||||
\(670\) | −0.979164 | − | 0.322139i | −0.0378284 | − | 0.0124453i | ||||
\(671\) | −3.75015 | −0.144773 | ||||||||
\(672\) | 7.10895 | + | 4.10436i | 0.274234 | + | 0.158329i | ||||
\(673\) | 20.9276 | − | 12.0826i | 0.806701 | − | 0.465749i | −0.0391079 | − | 0.999235i | \(-0.512452\pi\) |
0.845809 | + | 0.533486i | \(0.179118\pi\) | |||||||
\(674\) | 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 | \(0.0173489\pi\) | ||||
−0.998515 | + | 0.0544760i | \(0.982651\pi\) | |||||||
\(678\) | 2.93466 | − | 1.69433i | 0.112705 | − | 0.0650702i | ||||
\(679\) | −9.87386 | − | 17.1020i | −0.378924 | − | 0.656316i | ||||
\(680\) | −16.8593 | − | 5.54661i | −0.646524 | − | 0.212703i | ||||
\(681\) | −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 | ||||||||
\(685\) | −7.32884 | + | 22.2765i | −0.280021 | + | 0.851141i | ||||
\(686\) | 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 | 0.614349 | − | 0.789034i | \(-0.289419\pi\) |
−0.990498 | + | 0.137525i | \(0.956085\pi\) | |||||||
\(692\) | 25.7246 | − | 14.8521i | 0.977901 | − | 0.564591i | ||||
\(693\) | −7.93725 | − | 4.58258i | −0.301511 | − | 0.174078i | ||||
\(694\) | −9.74475 | −0.369906 | ||||||||
\(695\) | −46.1937 | − | 15.1975i | −1.75223 | − | 0.576472i | ||||
\(696\) | −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 | ||||
\(700\) | −9.21047 | + | 12.4828i | −0.348123 | + | 0.471806i | ||||
\(701\) | 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 | ||||
\(705\) | −3.04668 | + | 2.72300i | −0.114745 | + | 0.102554i | ||||
\(706\) | 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 | \(0.405996\pi\) |
−0.974058 | + | 0.226299i | \(0.927337\pi\) | |||||||
\(710\) | 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 | ||||
\(725\) | −18.4373 | − | 13.6040i | −0.684742 | − | 0.505238i | ||||
\(726\) | −0.913701 | − | 1.58258i | −0.0339106 | − | 0.0587349i | ||||
\(727\) | − | 15.2523i | − | 0.565675i | −0.959168 | − | 0.282838i | \(-0.908724\pi\) | ||
0.959168 | − | 0.282838i | \(-0.0912758\pi\) | |||||||
\(728\) | 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 | ||||
\(735\) | 2.79523 | − | 8.49628i | 0.103103 | − | 0.313390i | ||||
\(736\) | 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 | 0.665766 | − | 0.746161i | \(-0.268105\pi\) |
−0.979077 | + | 0.203490i | \(0.934772\pi\) | |||||||
\(740\) | 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 | ||||
\(745\) | −35.4568 | − | 11.6651i | −1.29904 | − | 0.427375i | ||||
\(746\) | 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 | ||||||||
\(750\) | −5.08535 | + | 0.477776i | −0.185691 | + | 0.0174459i | ||||
\(751\) | 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 | −0.645503 | − | 0.763757i | \(-0.723352\pi\) |
0.338682 | + | 0.940901i | \(0.390019\pi\) | |||||||
\(758\) | 4.22483 | + | 2.43920i | 0.153453 | + | 0.0885959i | ||||
\(759\) | 12.1244 | 0.440086 | ||||||||
\(760\) | 2.09642 | − | 6.37221i | 0.0760451 | − | 0.231144i | ||||
\(761\) | 17.7297 | − | 30.7087i | 0.642701 | − | 1.11319i | −0.342127 | − | 0.939654i | \(-0.611147\pi\) |
0.984827 | − | 0.173536i | \(-0.0555194\pi\) | |||||||
\(762\) | − | 8.10805i | − | 0.293724i | ||||||
\(763\) | −19.7001 | − | 11.3739i | −0.713192 | − | 0.411762i | ||||
\(764\) | 14.8521 | + | 25.7246i | 0.537330 | + | 0.930682i | ||||
\(765\) | −13.6569 | − | 15.2803i | −0.493768 | − | 0.552461i | ||||
\(766\) | −10.7913 | −0.389905 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 1.79129i | 0.0646375i | ||||||||
\(769\) | 7.79423 | + | 13.5000i | 0.281067 | + | 0.486822i | 0.971648 | − | 0.236433i | \(-0.0759783\pi\) |
−0.690581 | + | 0.723255i | \(0.742645\pi\) | |||||||
\(770\) | −3.49041 | + | 3.11959i | −0.125786 | + | 0.112422i | ||||
\(771\) | −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 | ||||
\(790\) | 4.08450 | + | 4.57002i | 0.145320 | + | 0.162594i | ||||
\(791\) | −6.42368 | − | 11.1261i | −0.228400 | − | 0.395600i | ||||
\(792\) | 9.16515i | 0.325669i | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −9.29583 | −0.329897 | ||||||||
\(795\) | −12.6418 | + | 11.2988i | −0.448359 | + | 0.400726i | ||||
\(796\) | −9.47822 | − | 16.4168i | −0.335947 | − | 0.581877i | ||||
\(797\) | −38.1727 | − | 22.0390i | −1.35215 | − | 0.780662i | −0.363596 | − | 0.931557i | \(-0.618451\pi\) |
−0.988550 | + | 0.150895i | \(0.951785\pi\) | |||||||
\(798\) | − | 1.37055i | − | 0.0485170i | ||||||
\(799\) | −4.18710 | + | 7.25227i | −0.148129 | + | 0.256567i | ||||
\(800\) | 23.5478 | + | 2.65039i | 0.832541 | + | 0.0937056i | ||||
\(801\) | −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 | \(-0.580740\pi\) | |||||||
\(810\) | 0.319250 | − | 0.970381i | 0.0112173 | − | 0.0340957i | ||||
\(811\) | 50.5155 | 1.77384 | 0.886920 | − | 0.461923i | \(-0.152840\pi\) | ||||
0.886920 | + | 0.461923i | \(0.152840\pi\) | |||||||
\(812\) | 12.3131 | + | 7.10895i | 0.432104 | + | 0.249475i | ||||
\(813\) | 7.50000 | + | 4.33013i | 0.263036 | + | 0.151864i | ||||
\(814\) | 9.59386 | 0.336264 | ||||||||
\(815\) | −14.7243 | + | 44.7555i | −0.515770 | + | 1.56772i | ||||
\(816\) | −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 | 0.663235 | − | 0.748411i | \(-0.269183\pi\) |
−0.979761 | + | 0.200173i | \(0.935850\pi\) | |||||||
\(822\) | 4.14938 | − | 2.39564i | 0.144726 | − | 0.0835577i | ||||
\(823\) | −27.2083 | − | 15.7087i | −0.948421 | − | 0.547571i | −0.0558311 | − | 0.998440i | \(-0.517781\pi\) |
−0.892590 | + | 0.450869i | \(0.851114\pi\) | |||||||
\(824\) | 5.48220 | 0.190982 | ||||||||
\(825\) | 13.1458 | + | 1.47960i | 0.457676 | + | 0.0515131i | ||||
\(826\) | −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 | \(0.636853\pi\) | |||||||
\(830\) | −4.58106 | + | 4.09437i | −0.159011 | + | 0.142118i | ||||
\(831\) | 7.41742 | 0.257308 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | − | 18.3303i | − | 0.635107i | ||||||
\(834\) | 4.96773 | + | 8.60436i | 0.172018 | + | 0.297944i | ||||
\(835\) | 14.2661 | + | 15.9619i | 0.493699 | + | 0.552384i | ||||
\(836\) | −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 | \(0.438567\pi\) |
−0.945847 | + | 0.324613i | \(0.894766\pi\) | |||||||
\(840\) | 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 | ||||
\(855\) | 5.77542 | − | 5.16184i | 0.197515 | − | 0.176531i | ||||
\(856\) | 9.16478 | + | 15.8739i | 0.313246 | + | 0.542557i | ||||
\(857\) | − | 4.74773i | − | 0.162179i | −0.996707 | − | 0.0810896i | \(-0.974160\pi\) | ||
0.996707 | − | 0.0810896i | \(-0.0258400\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 44.2432 | 1.50956 | 0.754779 | − | 0.655979i | \(-0.227744\pi\) | ||||
0.754779 | + | 0.655979i | \(0.227744\pi\) | |||||||
\(860\) | −28.2469 | − | 31.6045i | −0.963211 | − | 1.07771i | ||||
\(861\) | 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 | ||||
\(865\) | 11.5880 | − | 35.2225i | 0.394004 | − | 1.19760i | ||||
\(866\) | 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 | ||||
\(875\) | 1.81139 | + | 19.2800i | 0.0612360 | + | 0.651783i | ||||
\(876\) | 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 | ||||||||
\(880\) | −15.6864 | − | 5.16072i | −0.528787 | − | 0.173968i | ||||
\(881\) | 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 | \(-0.791234\pi\) | ||
0.792524 | − | 0.609840i | \(-0.208766\pi\) | |||||||
\(884\) | 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 | \(0.701055\pi\) |
−0.994170 | + | 0.107826i | \(0.965611\pi\) | |||||||
\(888\) | −11.9059 | − | 6.87386i | −0.399535 | − | 0.230672i | ||||
\(889\) | −30.7400 | −1.03099 | ||||||||
\(890\) | −3.05648 | + | 9.29039i | −0.102454 | + | 0.311415i | ||||
\(891\) | −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 | ||||
\(895\) | 30.2853 | − | 27.0678i | 1.01233 | − | 0.904776i | ||||
\(896\) | −19.1216 | −0.638808 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 5.03447i | 0.168002i | ||||||||
\(899\) | −14.2179 | − | 24.6261i | −0.474194 | − | 0.821328i | ||||
\(900\) | 14.4139 | + | 10.6353i | 0.480464 | + | 0.354511i | ||||
\(901\) | −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 | −0.587194 | − | 0.809446i | \(-0.699767\pi\) |
0.407404 | + | 0.913248i | \(0.366434\pi\) | |||||||
\(908\) | 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 | \(-0.185000\pi\) | |||||||
\(920\) | 13.2331 | − | 11.8273i | 0.436284 | − | 0.389933i | ||||
\(921\) | 12.1244 | + | 21.0000i | 0.399511 | + | 0.691974i | ||||
\(922\) | − | 16.3739i | − | 0.539244i | ||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −8.20871 | −0.270047 | ||||||||
\(925\) | 23.5627 | − | 31.9343i | 0.774738 | − | 1.04999i | ||||
\(926\) | 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 | −0.564627 | − | 0.825346i | \(-0.690980\pi\) |
0.997084 | + | 0.0763082i | \(0.0243133\pi\) | |||||||
\(930\) | −6.02141 | − | 1.98101i | −0.197450 | − | 0.0649599i | ||||
\(931\) | 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 | \(-0.827994\pi\) | ||
0.857517 | − | 0.514456i | \(-0.172006\pi\) | |||||||
\(938\) | 0.691478 | − | 0.399225i | 0.0225775 | − | 0.0130352i | ||||
\(939\) | −1.62614 | − | 2.81655i | −0.0530670 | − | 0.0919147i | ||||
\(940\) | 2.28747 | − | 6.95293i | 0.0746092 | − | 0.226780i | ||||
\(941\) | 26.4575 | 0.862490 | 0.431245 | − | 0.902235i | \(-0.358074\pi\) | ||||
0.431245 | + | 0.902235i | \(0.358074\pi\) | |||||||
\(942\) | −3.62614 | − | 2.09355i | −0.118146 | − | 0.0682116i | ||||
\(943\) | 10.5000 | + | 6.06218i | 0.341927 | + | 0.197412i | ||||
\(944\) | −38.9434 | −1.26750 | ||||||||
\(945\) | 18.3950 | + | 6.05184i | 0.598389 | + | 0.196866i | ||||
\(946\) | −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 | 0.382394 | − | 0.923999i | \(-0.375100\pi\) |
−0.609010 | + | 0.793163i | \(0.708433\pi\) | |||||||
\(954\) | −6.92820 | −0.224309 | ||||||||
\(955\) | 35.2225 | + | 11.5880i | 1.13977 | + | 0.374979i | ||||
\(956\) | 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 | ||||
\(960\) | 5.09229 | + | 5.69759i | 0.164353 | + | 0.183889i | ||||
\(961\) | 7.50455 | 0.242082 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 21.1652i | 0.682037i | ||||||||
\(964\) | 1.55130 | + | 2.68693i | 0.0499640 | + | 0.0865402i | ||||
\(965\) | −22.1509 | − | 24.7840i | −0.713064 | − | 0.797824i | ||||
\(966\) | 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 | ||||
\(985\) | −21.8668 | − | 24.4660i | −0.696733 | − | 0.779553i | ||||
\(986\) | 4.79693 | + | 8.30852i | 0.152765 | + | 0.264597i | ||||
\(987\) | − | 3.16515i | − | 0.100748i | ||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −48.4955 | −1.54207 | ||||||||
\(990\) | 3.60219 | + | 4.03038i | 0.114485 | + | 0.128094i | ||||
\(991\) | 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 | ||||
\(995\) | −22.4781 | − | 7.39517i | −0.712604 | − | 0.234443i | ||||
\(996\) | −10.7737 | −0.341378 | ||||||||
\(997\) | 0.143025 | + | 0.0825757i | 0.00452966 | + | 0.00261520i | 0.502263 | − | 0.864715i | \(-0.332501\pi\) |
−0.497733 | + | 0.867330i | \(0.665834\pi\) | |||||||
\(998\) | −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 \(a_p\))