Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(654,845)]
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, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.654");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.l (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 | 699.3 | ||
Root | \(0.228425 + 1.39564i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.699 |
Dual form | 845.2.l.c.654.3 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.228425 | + | 0.395644i | 0.161521 | + | 0.279763i | 0.935414 | − | 0.353553i | \(-0.115027\pi\) |
−0.773893 | + | 0.633316i | \(0.781693\pi\) | |||||||
\(3\) | −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 | ||||
\(5\) | −2.18890 | − | 0.456850i | −0.978906 | − | 0.204310i | ||||
\(6\) | −0.395644 | − | 0.228425i | −0.161521 | − | 0.0932542i | ||||
\(7\) | −0.866025 | + | 1.50000i | −0.327327 | + | 0.566947i | −0.981981 | − | 0.188982i | \(-0.939481\pi\) |
0.654654 | + | 0.755929i | \(0.272814\pi\) | |||||||
\(8\) | 1.73205 | 0.612372 | ||||||||
\(9\) | −1.00000 | + | 1.73205i | −0.333333 | + | 0.577350i | ||||
\(10\) | −0.319250 | − | 0.970381i | −0.100956 | − | 0.306862i | ||||
\(11\) | 2.29129 | − | 1.32288i | 0.690849 | − | 0.398862i | −0.113081 | − | 0.993586i | \(-0.536072\pi\) |
0.803930 | + | 0.594724i | \(0.202739\pi\) | |||||||
\(12\) | 1.79129i | 0.517100i | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | −0.791288 | −0.211481 | ||||||||
\(15\) | 2.12407 | − | 0.698807i | 0.548432 | − | 0.180431i | ||||
\(16\) | −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 | \(0.479110\pi\) | |||||||
\(18\) | −0.913701 | −0.215361 | ||||||||
\(19\) | 1.50000 | + | 0.866025i | 0.344124 | + | 0.198680i | 0.662094 | − | 0.749421i | \(-0.269668\pi\) |
−0.317970 | + | 0.948101i | \(0.603001\pi\) | |||||||
\(20\) | −2.66919 | + | 2.98647i | −0.596849 | + | 0.667795i | ||||
\(21\) | − | 1.73205i | − | 0.377964i | ||||||
\(22\) | 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 | \(0.491887\pi\) | |||||||
\(24\) | −1.50000 | + | 0.866025i | −0.306186 | + | 0.176777i | ||||
\(25\) | 4.58258 | + | 2.00000i | 0.916515 | + | 0.400000i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | − | 5.00000i | − | 0.962250i | ||||||
\(28\) | 1.55130 | + | 2.68693i | 0.293168 | + | 0.507782i | ||||
\(29\) | 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 | ||||
\(31\) | 6.20520i | 1.11449i | 0.830349 | + | 0.557244i | \(0.188141\pi\) | ||||
−0.830349 | + | 0.557244i | \(0.811859\pi\) | |||||||
\(32\) | 2.36965 | − | 4.10436i | 0.418899 | − | 0.725555i | ||||
\(33\) | −1.32288 | + | 2.29129i | −0.230283 | + | 0.398862i | ||||
\(34\) | 2.09355i | 0.359041i | ||||||||
\(35\) | 2.58092 | − | 2.88771i | 0.436255 | − | 0.488112i | ||||
\(36\) | 1.79129 | + | 3.10260i | 0.298548 | + | 0.517100i | ||||
\(37\) | 3.96863 | + | 6.87386i | 0.652438 | + | 1.13006i | 0.982529 | + | 0.186107i | \(0.0595872\pi\) |
−0.330091 | + | 0.943949i | \(0.607080\pi\) | |||||||
\(38\) | 0.791288i | 0.128364i | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.79129 | − | 0.791288i | −0.599455 | − | 0.125114i | ||||
\(41\) | −2.29129 | + | 1.32288i | −0.357839 | + | 0.206598i | −0.668132 | − | 0.744042i | \(-0.732906\pi\) |
0.310293 | + | 0.950641i | \(0.399573\pi\) | |||||||
\(42\) | 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 | \(0.367803\pi\) | |||||||
\(44\) | − | 4.73930i | − | 0.714477i | ||||||
\(45\) | 2.98019 | − | 3.33444i | 0.444260 | − | 0.497069i | ||||
\(46\) | −1.81307 | − | 1.04678i | −0.267322 | − | 0.154339i | ||||
\(47\) | 1.82740 | 0.266554 | 0.133277 | − | 0.991079i | \(-0.457450\pi\) | ||||
0.133277 | + | 0.991079i | \(0.457450\pi\) | |||||||
\(48\) | 2.41733 | + | 1.39564i | 0.348911 | + | 0.201444i | ||||
\(49\) | 2.00000 | + | 3.46410i | 0.285714 | + | 0.494872i | ||||
\(50\) | 0.255488 | + | 2.26992i | 0.0361314 | + | 0.321015i | ||||
\(51\) | −4.58258 | −0.641689 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 7.58258i | − | 1.04155i | −0.853695 | − | 0.520773i | \(-0.825644\pi\) | ||
0.853695 | − | 0.520773i | \(-0.174356\pi\) | |||||||
\(54\) | 1.97822 | − | 1.14213i | 0.269202 | − | 0.155424i | ||||
\(55\) | −5.61976 | + | 1.84887i | −0.757768 | + | 0.249301i | ||||
\(56\) | −1.50000 | + | 2.59808i | −0.200446 | + | 0.347183i | ||||
\(57\) | −1.73205 | −0.229416 | ||||||||
\(58\) | −1.04678 | + | 1.81307i | −0.137448 | + | 0.238068i | ||||
\(59\) | 12.0826 | + | 6.97588i | 1.57302 | + | 0.908182i | 0.995796 | + | 0.0915940i | \(0.0291962\pi\) |
0.577221 | + | 0.816588i | \(0.304137\pi\) | |||||||
\(60\) | 0.818350 | − | 3.92095i | 0.105649 | − | 0.506193i | ||||
\(61\) | 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 | ||||
\(63\) | −1.73205 | − | 3.00000i | −0.218218 | − | 0.377964i | ||||
\(64\) | −3.41742 | −0.427178 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −1.20871 | −0.148782 | ||||||||
\(67\) | −0.504525 | − | 0.873864i | −0.0616376 | − | 0.106759i | 0.833560 | − | 0.552429i | \(-0.186299\pi\) |
−0.895198 | + | 0.445670i | \(0.852966\pi\) | |||||||
\(68\) | 7.10895 | − | 4.10436i | 0.862087 | − | 0.497726i | ||||
\(69\) | 2.29129 | − | 3.96863i | 0.275839 | − | 0.477767i | ||||
\(70\) | 1.73205 | + | 0.361500i | 0.207020 | + | 0.0432075i | ||||
\(71\) | −6.08258 | − | 3.51178i | −0.721869 | − | 0.416771i | 0.0935712 | − | 0.995613i | \(-0.470172\pi\) |
−0.815440 | + | 0.578841i | \(0.803505\pi\) | |||||||
\(72\) | −1.73205 | + | 3.00000i | −0.204124 | + | 0.353553i | ||||
\(73\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(74\) | −1.81307 | + | 3.14033i | −0.210765 | + | 0.365056i | ||||
\(75\) | −4.96863 | + | 0.559237i | −0.573728 | + | 0.0645751i | ||||
\(76\) | 2.68693 | − | 1.55130i | 0.308212 | − | 0.177946i | ||||
\(77\) | 4.58258i | 0.522233i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.00000 | 0.675053 | 0.337526 | − | 0.941316i | \(-0.390410\pi\) | ||||
0.337526 | + | 0.941316i | \(0.390410\pi\) | |||||||
\(80\) | 1.95057 | + | 5.92889i | 0.218080 | + | 0.662870i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −1.04678 | − | 0.604356i | −0.115597 | − | 0.0667400i | ||||
\(83\) | −6.01450 | −0.660177 | −0.330089 | − | 0.943950i | \(-0.607079\pi\) | ||||
−0.330089 | + | 0.943950i | \(0.607079\pi\) | |||||||
\(84\) | −2.68693 | − | 1.55130i | −0.293168 | − | 0.169261i | ||||
\(85\) | −7.64016 | − | 6.82847i | −0.828691 | − | 0.740652i | ||||
\(86\) | 4.83465i | 0.521334i | ||||||||
\(87\) | −3.96863 | − | 2.29129i | −0.425481 | − | 0.245652i | ||||
\(88\) | 3.96863 | − | 2.29129i | 0.423057 | − | 0.244252i | ||||
\(89\) | −8.29129 | + | 4.78698i | −0.878875 | + | 0.507419i | −0.870287 | − | 0.492545i | \(-0.836067\pi\) |
−0.00858752 | + | 0.999963i | \(0.502734\pi\) | |||||||
\(90\) | 2.00000 | + | 0.417424i | 0.210819 | + | 0.0440004i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 8.20871i | 0.855817i | ||||||||
\(93\) | −3.10260 | − | 5.37386i | −0.321725 | − | 0.557244i | ||||
\(94\) | 0.417424 | + | 0.723000i | 0.0430540 | + | 0.0745718i | ||||
\(95\) | −2.88771 | − | 2.58092i | −0.296273 | − | 0.264797i | ||||
\(96\) | 4.73930i | 0.483703i | ||||||||
\(97\) | −5.70068 | + | 9.87386i | −0.578816 | + | 1.00254i | 0.416799 | + | 0.908999i | \(0.363152\pi\) |
−0.995615 | + | 0.0935404i | \(0.970182\pi\) | |||||||
\(98\) | −0.913701 | + | 1.58258i | −0.0922977 | + | 0.159864i | ||||
\(99\) | 5.29150i | 0.531816i | ||||||||
\(100\) | 7.20696 | − | 5.31767i | 0.720696 | − | 0.531767i | ||||
\(101\) | −4.50000 | − | 7.79423i | −0.447767 | − | 0.775555i | 0.550474 | − | 0.834853i | \(-0.314447\pi\) |
−0.998240 | + | 0.0592978i | \(0.981114\pi\) | |||||||
\(102\) | −1.04678 | − | 1.81307i | −0.103646 | − | 0.179521i | ||||
\(103\) | − | 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 | ||||
\(106\) | 3.00000 | − | 1.73205i | 0.291386 | − | 0.168232i | ||||
\(107\) | −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 | ||||
\(109\) | − | 13.1334i | − | 1.25795i | −0.777425 | − | 0.628976i | \(-0.783474\pi\) | ||
0.777425 | − | 0.628976i | \(-0.216526\pi\) | |||||||
\(110\) | −2.01519 | − | 1.80110i | −0.192141 | − | 0.171728i | ||||
\(111\) | −6.87386 | − | 3.96863i | −0.652438 | − | 0.376685i | ||||
\(112\) | 4.83465 | 0.456832 | ||||||||
\(113\) | −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 | ||||
\(115\) | 9.73371 | − | 3.20233i | 0.907673 | − | 0.298619i | ||||
\(116\) | 8.20871 | 0.762160 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 6.37386i | 0.586762i | ||||||||
\(119\) | −6.87386 | + | 3.96863i | −0.630126 | + | 0.363803i | ||||
\(120\) | 3.67900 | − | 1.21037i | 0.335845 | − | 0.110491i | ||||
\(121\) | −2.00000 | + | 3.46410i | −0.181818 | + | 0.314918i | ||||
\(122\) | 0.647551 | 0.0586265 | ||||||||
\(123\) | 1.32288 | − | 2.29129i | 0.119280 | − | 0.206598i | ||||
\(124\) | 9.62614 | + | 5.55765i | 0.864453 | + | 0.499092i | ||||
\(125\) | −9.11710 | − | 6.47135i | −0.815459 | − | 0.578815i | ||||
\(126\) | 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 | \(0.0447455\pi\) | |||||||
\(128\) | −5.51993 | − | 9.56080i | −0.487897 | − | 0.845063i | ||||
\(129\) | −10.5826 | −0.931744 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.58258 | −0.662493 | −0.331246 | − | 0.943544i | \(-0.607469\pi\) | ||||
−0.331246 | + | 0.943544i | \(0.607469\pi\) | |||||||
\(132\) | 2.36965 | + | 4.10436i | 0.206252 | + | 0.357238i | ||||
\(133\) | −2.59808 | + | 1.50000i | −0.225282 | + | 0.130066i | ||||
\(134\) | 0.230493 | − | 0.399225i | 0.0199115 | − | 0.0344878i | ||||
\(135\) | −2.28425 | + | 10.9445i | −0.196597 | + | 0.941953i | ||||
\(136\) | 6.87386 | + | 3.96863i | 0.589429 | + | 0.340307i | ||||
\(137\) | 5.24383 | − | 9.08258i | 0.448010 | − | 0.775977i | −0.550246 | − | 0.835003i | \(-0.685466\pi\) |
0.998256 | + | 0.0590258i | \(0.0187994\pi\) | |||||||
\(138\) | 2.09355 | 0.178215 | ||||||||
\(139\) | −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 | ||||
\(141\) | −1.58258 | + | 0.913701i | −0.133277 | + | 0.0769475i | ||||
\(142\) | − | 3.20871i | − | 0.269269i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 5.58258 | 0.465215 | ||||||||
\(145\) | −3.20233 | − | 9.73371i | −0.265939 | − | 0.808340i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −3.46410 | − | 2.00000i | −0.285714 | − | 0.164957i | ||||
\(148\) | 14.2179 | 1.16870 | ||||||||
\(149\) | 14.4564 | + | 8.34643i | 1.18432 | + | 0.683766i | 0.957009 | − | 0.290057i | \(-0.0936742\pi\) |
0.227308 | + | 0.973823i | \(0.427008\pi\) | |||||||
\(150\) | −1.35622 | − | 1.83806i | −0.110735 | − | 0.150077i | ||||
\(151\) | − | 9.66930i | − | 0.786877i | −0.919351 | − | 0.393438i | \(-0.871285\pi\) | ||
0.919351 | − | 0.393438i | \(-0.128715\pi\) | |||||||
\(152\) | 2.59808 | + | 1.50000i | 0.210732 | + | 0.121666i | ||||
\(153\) | −7.93725 | + | 4.58258i | −0.641689 | + | 0.370479i | ||||
\(154\) | −1.81307 | + | 1.04678i | −0.146101 | + | 0.0843516i | ||||
\(155\) | 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 | \(0.880820\pi\) | |||||||
\(158\) | 1.37055 | + | 2.37386i | 0.109035 | + | 0.188854i | ||||
\(159\) | 3.79129 | + | 6.56670i | 0.300669 | + | 0.520773i | ||||
\(160\) | −7.06201 | + | 7.90145i | −0.558301 | + | 0.624665i | ||||
\(161\) | − | 7.93725i | − | 0.625543i | ||||||
\(162\) | 0.228425 | − | 0.395644i | 0.0179468 | − | 0.0310847i | ||||
\(163\) | 10.5353 | − | 18.2477i | 0.825191 | − | 1.42927i | −0.0765827 | − | 0.997063i | \(-0.524401\pi\) |
0.901773 | − | 0.432209i | \(-0.142266\pi\) | |||||||
\(164\) | 4.73930i | 0.370077i | ||||||||
\(165\) | 3.94242 | − | 4.41105i | 0.306917 | − | 0.343399i | ||||
\(166\) | −1.37386 | − | 2.37960i | −0.106632 | − | 0.184693i | ||||
\(167\) | −4.78698 | − | 8.29129i | −0.370427 | − | 0.641599i | 0.619204 | − | 0.785230i | \(-0.287455\pi\) |
−0.989631 | + | 0.143631i | \(0.954122\pi\) | |||||||
\(168\) | − | 3.00000i | − | 0.231455i | ||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 0.956439 | − | 4.58258i | 0.0733555 | − | 0.351468i | ||||
\(171\) | −3.00000 | + | 1.73205i | −0.229416 | + | 0.132453i | ||||
\(172\) | 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 | \(0.883766\pi\) | |||||||
\(174\) | − | 2.09355i | − | 0.158712i | ||||||
\(175\) | −6.96863 | + | 5.14181i | −0.526779 | + | 0.388685i | ||||
\(176\) | −6.39564 | − | 3.69253i | −0.482090 | − | 0.278335i | ||||
\(177\) | −13.9518 | −1.04868 | ||||||||
\(178\) | −3.78788 | − | 2.18693i | −0.283913 | − | 0.163917i | ||||
\(179\) | 9.08258 | + | 15.7315i | 0.678864 | + | 1.17583i | 0.975323 | + | 0.220781i | \(0.0708606\pi\) |
−0.296460 | + | 0.955045i | \(0.595806\pi\) | |||||||
\(180\) | −2.50353 | − | 7.60964i | −0.186602 | − | 0.567189i | ||||
\(181\) | 8.74773 | 0.650213 | 0.325107 | − | 0.945677i | \(-0.394600\pi\) | ||||
0.325107 | + | 0.945677i | \(0.394600\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.41742i | 0.104779i | ||||||||
\(184\) | −6.87386 | + | 3.96863i | −0.506748 | + | 0.292571i | ||||
\(185\) | −5.54661 | − | 16.8593i | −0.407795 | − | 1.23952i | ||||
\(186\) | 1.41742 | − | 2.45505i | 0.103931 | − | 0.180013i | ||||
\(187\) | 12.1244 | 0.886621 | ||||||||
\(188\) | 1.63670 | − | 2.83485i | 0.119369 | − | 0.206753i | ||||
\(189\) | 7.50000 | + | 4.33013i | 0.545545 | + | 0.314970i | ||||
\(190\) | 0.361500 | − | 1.73205i | 0.0262260 | − | 0.125656i | ||||
\(191\) | 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 | ||||
\(193\) | 7.43273 | + | 12.8739i | 0.535020 | + | 0.926681i | 0.999162 | + | 0.0409206i | \(0.0130291\pi\) |
−0.464143 | + | 0.885760i | \(0.653638\pi\) | |||||||
\(194\) | −5.20871 | −0.373964 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.16515 | 0.511797 | ||||||||
\(197\) | −7.33738 | − | 12.7087i | −0.522767 | − | 0.905458i | −0.999649 | − | 0.0264912i | \(-0.991567\pi\) |
0.476882 | − | 0.878967i | \(-0.341767\pi\) | |||||||
\(198\) | −2.09355 | + | 1.20871i | −0.148782 | + | 0.0858994i | ||||
\(199\) | 5.29129 | − | 9.16478i | 0.375089 | − | 0.649674i | −0.615251 | − | 0.788331i | \(-0.710945\pi\) |
0.990340 | + | 0.138657i | \(0.0442787\pi\) | |||||||
\(200\) | 7.93725 | + | 3.46410i | 0.561249 | + | 0.244949i | ||||
\(201\) | 0.873864 | + | 0.504525i | 0.0616376 | + | 0.0355865i | ||||
\(202\) | 2.05583 | − | 3.56080i | 0.144647 | − | 0.250537i | ||||
\(203\) | −7.93725 | −0.557086 | ||||||||
\(204\) | −4.10436 | + | 7.10895i | −0.287362 | + | 0.497726i | ||||
\(205\) | 5.61976 | − | 1.84887i | 0.392501 | − | 0.129131i | ||||
\(206\) | 1.25227 | − | 0.723000i | 0.0872500 | − | 0.0503738i | ||||
\(207\) | − | 9.16515i | − | 0.637022i | ||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 4.58258 | 0.316983 | ||||||||
\(210\) | −1.68075 | + | 0.552957i | −0.115983 | + | 0.0381577i | ||||
\(211\) | 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 | ||||
\(213\) | 7.02355 | 0.481246 | ||||||||
\(214\) | −4.18693 | − | 2.41733i | −0.286213 | − | 0.165245i | ||||
\(215\) | −17.6435 | − | 15.7690i | −1.20327 | − | 1.07544i | ||||
\(216\) | − | 8.66025i | − | 0.589256i | ||||||
\(217\) | −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 | ||||||
\(223\) | −4.33013 | − | 7.50000i | −0.289967 | − | 0.502237i | 0.683835 | − | 0.729637i | \(-0.260311\pi\) |
−0.973801 | + | 0.227400i | \(0.926978\pi\) | |||||||
\(224\) | 4.10436 | + | 7.10895i | 0.274234 | + | 0.474987i | ||||
\(225\) | −8.04668 | + | 5.93725i | −0.536445 | + | 0.395817i | ||||
\(226\) | − | 3.38865i | − | 0.225410i | ||||||
\(227\) | 0.409175 | − | 0.708712i | 0.0271579 | − | 0.0470389i | −0.852127 | − | 0.523335i | \(-0.824688\pi\) |
0.879285 | + | 0.476296i | \(0.158021\pi\) | |||||||
\(228\) | −1.55130 | + | 2.68693i | −0.102737 | + | 0.177946i | ||||
\(229\) | 26.2668i | 1.73576i | 0.496774 | + | 0.867880i | \(0.334518\pi\) | ||||
−0.496774 | + | 0.867880i | \(0.665482\pi\) | |||||||
\(230\) | 3.49041 | + | 3.11959i | 0.230151 | + | 0.205700i | ||||
\(231\) | −2.29129 | − | 3.96863i | −0.150756 | − | 0.261116i | ||||
\(232\) | 3.96863 | + | 6.87386i | 0.260553 | + | 0.451291i | ||||
\(233\) | − | 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 | ||||
\(236\) | 21.6434 | − | 12.4958i | 1.40886 | − | 0.813408i | ||||
\(237\) | −5.19615 | + | 3.00000i | −0.337526 | + | 0.194871i | ||||
\(238\) | −3.14033 | − | 1.81307i | −0.203557 | − | 0.117524i | ||||
\(239\) | 0.190700i | 0.0123354i | 0.999981 | + | 0.00616769i | \(0.00196325\pi\) | ||||
−0.999981 | + | 0.00616769i | \(0.998037\pi\) | |||||||
\(240\) | −4.65369 | − | 4.15928i | −0.300394 | − | 0.268481i | ||||
\(241\) | 1.50000 | + | 0.866025i | 0.0966235 | + | 0.0557856i | 0.547533 | − | 0.836784i | \(-0.315567\pi\) |
−0.450910 | + | 0.892570i | \(0.648900\pi\) | |||||||
\(242\) | −1.82740 | −0.117470 | ||||||||
\(243\) | 13.8564 | + | 8.00000i | 0.888889 | + | 0.513200i | ||||
\(244\) | −1.26951 | − | 2.19885i | −0.0812719 | − | 0.140767i | ||||
\(245\) | −2.79523 | − | 8.49628i | −0.178580 | − | 0.542807i | ||||
\(246\) | 1.20871 | 0.0770647 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 10.7477i | 0.682481i | ||||||||
\(249\) | 5.20871 | − | 3.00725i | 0.330089 | − | 0.190577i | ||||
\(250\) | 0.477776 | − | 5.08535i | 0.0302172 | − | 0.321626i | ||||
\(251\) | 0.0825757 | − | 0.143025i | 0.00521213 | − | 0.00902768i | −0.863408 | − | 0.504507i | \(-0.831674\pi\) |
0.868620 | + | 0.495479i | \(0.165008\pi\) | |||||||
\(252\) | −6.20520 | −0.390891 | ||||||||
\(253\) | −6.06218 | + | 10.5000i | −0.381126 | + | 0.660129i | ||||
\(254\) | 7.02178 | + | 4.05403i | 0.440586 | + | 0.254372i | ||||
\(255\) | 10.0308 | + | 2.09355i | 0.628153 | + | 0.131103i | ||||
\(256\) | −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 | \(0.525058\pi\) | |||||||
\(258\) | −2.41733 | − | 4.18693i | −0.150496 | − | 0.260667i | ||||
\(259\) | −13.7477 | −0.854242 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −9.16515 | −0.567309 | ||||||||
\(262\) | −1.73205 | − | 3.00000i | −0.107006 | − | 0.185341i | ||||
\(263\) | −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 | ||||
\(265\) | −3.46410 | + | 16.5975i | −0.212798 | + | 1.01958i | ||||
\(266\) | −1.18693 | − | 0.685275i | −0.0727755 | − | 0.0420169i | ||||
\(267\) | 4.78698 | − | 8.29129i | 0.292958 | − | 0.507419i | ||||
\(268\) | −1.80750 | −0.110411 | ||||||||
\(269\) | −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 | ||||
\(271\) | −7.50000 | + | 4.33013i | −0.455593 | + | 0.263036i | −0.710189 | − | 0.704011i | \(-0.751391\pi\) |
0.254597 | + | 0.967047i | \(0.418057\pi\) | |||||||
\(272\) | − | 12.7913i | − | 0.775586i | ||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.79129 | 0.289452 | ||||||||
\(275\) | 13.1458 | − | 1.47960i | 0.792719 | − | 0.0892234i | ||||
\(276\) | −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 | \(0.595136\pi\) | |||||||
\(278\) | −9.93545 | −0.595889 | ||||||||
\(279\) | −10.7477 | − | 6.20520i | −0.643450 | − | 0.371496i | ||||
\(280\) | 4.47028 | − | 5.00166i | 0.267151 | − | 0.298906i | ||||
\(281\) | 3.65480i | 0.218027i | 0.994040 | + | 0.109014i | \(0.0347692\pi\) | ||||
−0.994040 | + | 0.109014i | \(0.965231\pi\) | |||||||
\(282\) | −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 | \(0.0246685\pi\) | |||||||
\(284\) | −10.8956 | + | 6.29060i | −0.646538 | + | 0.373279i | ||||
\(285\) | 3.79129 | + | 0.791288i | 0.224577 | + | 0.0468718i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 4.58258i | − | 0.270501i | ||||||
\(288\) | 4.73930 | + | 8.20871i | 0.279266 | + | 0.483703i | ||||
\(289\) | 2.00000 | + | 3.46410i | 0.117647 | + | 0.203771i | ||||
\(290\) | 3.11959 | − | 3.49041i | 0.183189 | − | 0.204964i | ||||
\(291\) | − | 11.4014i | − | 0.668359i | ||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −9.06943 | + | 15.7087i | −0.529842 | + | 0.917713i | 0.469552 | + | 0.882905i | \(0.344415\pi\) |
−0.999394 | + | 0.0348081i | \(0.988918\pi\) | |||||||
\(294\) | − | 1.82740i | − | 0.106576i | ||||||
\(295\) | −23.2606 | − | 20.7894i | −1.35429 | − | 1.21041i | ||||
\(296\) | 6.87386 | + | 11.9059i | 0.399535 | + | 0.692015i | ||||
\(297\) | −6.61438 | − | 11.4564i | −0.383805 | − | 0.664770i | ||||
\(298\) | 7.62614i | 0.441770i | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −3.58258 | + | 8.20871i | −0.206840 | + | 0.473930i | ||||
\(301\) | −15.8739 | + | 9.16478i | −0.914954 | + | 0.528249i | ||||
\(302\) | 3.82560 | − | 2.20871i | 0.220139 | − | 0.127097i | ||||
\(303\) | 7.79423 | + | 4.50000i | 0.447767 | + | 0.258518i | ||||
\(304\) | − | 4.83465i | − | 0.277286i | ||||||
\(305\) | −2.11210 | + | 2.36316i | −0.120938 | + | 0.135314i | ||||
\(306\) | −3.62614 | − | 2.09355i | −0.207292 | − | 0.119680i | ||||
\(307\) | 24.2487 | 1.38395 | 0.691974 | − | 0.721923i | \(-0.256741\pi\) | ||||
0.691974 | + | 0.721923i | \(0.256741\pi\) | |||||||
\(308\) | 7.10895 | + | 4.10436i | 0.405070 | + | 0.233867i | ||||
\(309\) | 1.58258 | + | 2.74110i | 0.0900296 | + | 0.155936i | ||||
\(310\) | 6.02141 | − | 1.98101i | 0.341993 | − | 0.112514i | ||||
\(311\) | 7.58258 | 0.429968 | 0.214984 | − | 0.976618i | \(-0.431030\pi\) | ||||
0.214984 | + | 0.976618i | \(0.431030\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.25227i | 0.183829i | 0.995767 | + | 0.0919147i | \(0.0292987\pi\) | ||||
−0.995767 | + | 0.0919147i | \(0.970701\pi\) | |||||||
\(314\) | −3.62614 | + | 2.09355i | −0.204635 | + | 0.118146i | ||||
\(315\) | 2.42074 | + | 7.35799i | 0.136393 | + | 0.414576i | ||||
\(316\) | 5.37386 | − | 9.30780i | 0.302303 | − | 0.523605i | ||||
\(317\) | −0.190700 | −0.0107108 | −0.00535540 | − | 0.999986i | \(-0.501705\pi\) | ||||
−0.00535540 | + | 0.999986i | \(0.501705\pi\) | |||||||
\(318\) | −1.73205 | + | 3.00000i | −0.0971286 | + | 0.168232i | ||||
\(319\) | 10.5000 | + | 6.06218i | 0.587887 | + | 0.339417i | ||||
\(320\) | 7.48040 | + | 1.56125i | 0.418167 | + | 0.0872766i | ||||
\(321\) | 5.29129 | − | 9.16478i | 0.295331 | − | 0.511528i | ||||
\(322\) | 3.14033 | − | 1.81307i | 0.175004 | − | 0.101038i | ||||
\(323\) | 3.96863 | + | 6.87386i | 0.220820 | + | 0.382472i | ||||
\(324\) | −1.79129 | −0.0995160 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 9.62614 | 0.533142 | ||||||||
\(327\) | 6.56670 | + | 11.3739i | 0.363140 | + | 0.628976i | ||||
\(328\) | −3.96863 | + | 2.29129i | −0.219131 | + | 0.126515i | ||||
\(329\) | −1.58258 | + | 2.74110i | −0.0872502 | + | 0.151122i | ||||
\(330\) | 2.64575 | + | 0.552200i | 0.145644 | + | 0.0303976i | ||||
\(331\) | 3.87386 | + | 2.23658i | 0.212927 | + | 0.122933i | 0.602671 | − | 0.797990i | \(-0.294103\pi\) |
−0.389744 | + | 0.920923i | \(0.627437\pi\) | |||||||
\(332\) | −5.38685 | + | 9.33030i | −0.295642 | + | 0.512067i | ||||
\(333\) | −15.8745 | −0.869918 | ||||||||
\(334\) | 2.18693 | − | 3.78788i | 0.119664 | − | 0.207263i | ||||
\(335\) | 0.705131 | + | 2.14329i | 0.0385254 | + | 0.117101i | ||||
\(336\) | −4.18693 | + | 2.41733i | −0.228416 | + | 0.131876i | ||||
\(337\) | 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 | ||||||||
\(340\) | −17.4359 | + | 5.73630i | −0.945593 | + | 0.311095i | ||||
\(341\) | 8.20871 | + | 14.2179i | 0.444527 | + | 0.769943i | ||||
\(342\) | −1.37055 | − | 0.791288i | −0.0741109 | − | 0.0427879i | ||||
\(343\) | −19.0526 | −1.02874 | ||||||||
\(344\) | 15.8739 | + | 9.16478i | 0.855861 | + | 0.494132i | ||||
\(345\) | −6.82847 | + | 7.64016i | −0.367633 | + | 0.411332i | ||||
\(346\) | − | 7.57575i | − | 0.407275i | ||||||
\(347\) | 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 | ||||
\(349\) | −2.12614 | + | 1.22753i | −0.113809 | + | 0.0657079i | −0.555824 | − | 0.831300i | \(-0.687597\pi\) |
0.442015 | + | 0.897008i | \(0.354264\pi\) | |||||||
\(350\) | −3.62614 | − | 1.58258i | −0.193825 | − | 0.0845922i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | − | 12.5390i | − | 0.668332i | ||||||
\(353\) | 3.41643 | + | 5.91742i | 0.181838 | + | 0.314953i | 0.942506 | − | 0.334188i | \(-0.108462\pi\) |
−0.760668 | + | 0.649141i | \(0.775129\pi\) | |||||||
\(354\) | −3.18693 | − | 5.51993i | −0.169384 | − | 0.293381i | ||||
\(355\) | 11.7098 | + | 10.4658i | 0.621492 | + | 0.555465i | ||||
\(356\) | 17.1497i | 0.908933i | ||||||||
\(357\) | 3.96863 | − | 6.87386i | 0.210042 | − | 0.363803i | ||||
\(358\) | −4.14938 | + | 7.18693i | −0.219301 | + | 0.379841i | ||||
\(359\) | − | 19.5293i | − | 1.03072i | −0.856975 | − | 0.515359i | \(-0.827659\pi\) | ||
0.856975 | − | 0.515359i | \(-0.172341\pi\) | |||||||
\(360\) | 5.16184 | − | 5.77542i | 0.272053 | − | 0.304391i | ||||
\(361\) | −8.00000 | − | 13.8564i | −0.421053 | − | 0.729285i | ||||
\(362\) | 1.99820 | + | 3.46099i | 0.105023 | + | 0.181905i | ||||
\(363\) | − | 4.00000i | − | 0.209946i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −0.560795 | + | 0.323775i | −0.0293132 | + | 0.0169240i | ||||
\(367\) | −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 | ||||
\(369\) | − | 5.29150i | − | 0.275465i | ||||||
\(370\) | 5.40329 | − | 6.04556i | 0.280903 | − | 0.314294i | ||||
\(371\) | 11.3739 | + | 6.56670i | 0.590502 | + | 0.340926i | ||||
\(372\) | −11.1153 | −0.576302 | ||||||||
\(373\) | −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 | ||||
\(375\) | 11.1313 | + | 1.04580i | 0.574819 | + | 0.0540051i | ||||
\(376\) | 3.16515 | 0.163230 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 3.95644i | 0.203497i | ||||||||
\(379\) | 9.24773 | − | 5.33918i | 0.475024 | − | 0.274255i | −0.243317 | − | 0.969947i | \(-0.578235\pi\) |
0.718340 | + | 0.695692i | \(0.244902\pi\) | |||||||
\(380\) | −6.59014 | + | 2.16812i | −0.338067 | + | 0.111222i | ||||
\(381\) | −8.87386 | + | 15.3700i | −0.454622 | + | 0.787428i | ||||
\(382\) | 7.57575 | 0.387609 | ||||||||
\(383\) | 11.8105 | − | 20.4564i | 0.603490 | − | 1.04528i | −0.388798 | − | 0.921323i | \(-0.627110\pi\) |
0.992288 | − | 0.123952i | \(-0.0395570\pi\) | |||||||
\(384\) | 9.56080 | + | 5.51993i | 0.487897 | + | 0.281688i | ||||
\(385\) | 2.09355 | − | 10.0308i | 0.106697 | − | 0.511217i | ||||
\(386\) | −3.39564 | + | 5.88143i | −0.172834 | + | 0.299357i | ||||
\(387\) | −18.3296 | + | 10.5826i | −0.931744 | + | 0.537943i | ||||
\(388\) | 10.2116 | + | 17.6869i | 0.518413 | + | 0.897918i | ||||
\(389\) | 3.16515 | 0.160480 | 0.0802398 | − | 0.996776i | \(-0.474431\pi\) | ||||
0.0802398 | + | 0.996776i | \(0.474431\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −21.0000 | −1.06202 | ||||||||
\(392\) | 3.46410 | + | 6.00000i | 0.174964 | + | 0.303046i | ||||
\(393\) | 6.56670 | − | 3.79129i | 0.331246 | − | 0.191245i | ||||
\(394\) | 3.35208 | − | 5.80598i | 0.168876 | − | 0.292501i | ||||
\(395\) | −13.1334 | − | 2.74110i | −0.660813 | − | 0.137920i | ||||
\(396\) | 8.20871 | + | 4.73930i | 0.412503 | + | 0.238159i | ||||
\(397\) | −10.1738 | + | 17.6216i | −0.510610 | + | 0.884402i | 0.489315 | + | 0.872107i | \(0.337247\pi\) |
−0.999924 | + | 0.0122949i | \(0.996086\pi\) | |||||||
\(398\) | 4.83465 | 0.242339 | ||||||||
\(399\) | 1.50000 | − | 2.59808i | 0.0750939 | − | 0.130066i | ||||
\(400\) | −1.56099 | − | 13.8689i | −0.0780496 | − | 0.693443i | ||||
\(401\) | 25.8303 | − | 14.9131i | 1.28990 | − | 0.744726i | 0.311267 | − | 0.950323i | \(-0.399247\pi\) |
0.978637 | + | 0.205596i | \(0.0659134\pi\) | |||||||
\(402\) | 0.460985i | 0.0229918i | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −16.1216 | −0.802079 | ||||||||
\(405\) | 0.698807 | + | 2.12407i | 0.0347240 | + | 0.105546i | ||||
\(406\) | −1.81307 | − | 3.14033i | −0.0899811 | − | 0.155852i | ||||
\(407\) | 18.1865 | + | 10.5000i | 0.901473 | + | 0.520466i | ||||
\(408\) | −7.93725 | −0.392953 | ||||||||
\(409\) | −7.50000 | − | 4.33013i | −0.370851 | − | 0.214111i | 0.302979 | − | 0.952997i | \(-0.402019\pi\) |
−0.673830 | + | 0.738886i | \(0.735352\pi\) | |||||||
\(410\) | 2.01519 | + | 1.80110i | 0.0995230 | + | 0.0889498i | ||||
\(411\) | 10.4877i | 0.517318i | ||||||||
\(412\) | −4.91010 | − | 2.83485i | −0.241903 | − | 0.139663i | ||||
\(413\) | −20.9276 | + | 12.0826i | −1.02978 | + | 0.594545i | ||||
\(414\) | 3.62614 | − | 2.09355i | 0.178215 | − | 0.102892i | ||||
\(415\) | 13.1652 | + | 2.74773i | 0.646252 | + | 0.134881i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | − | 21.7477i | − | 1.06499i | ||||||
\(418\) | 1.04678 | + | 1.81307i | 0.0511995 | + | 0.0886801i | ||||
\(419\) | −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 | ||||
\(421\) | 5.48220i | 0.267186i | 0.991036 | + | 0.133593i | \(0.0426515\pi\) | ||||
−0.991036 | + | 0.133593i | \(0.957348\pi\) | |||||||
\(422\) | −0.0377247 | + | 0.0653411i | −0.00183641 | + | 0.00318076i | ||||
\(423\) | −1.82740 | + | 3.16515i | −0.0888513 | + | 0.153895i | ||||
\(424\) | − | 13.1334i | − | 0.637815i | ||||||
\(425\) | 13.6040 | + | 18.4373i | 0.659889 | + | 0.894338i | ||||
\(426\) | 1.60436 | + | 2.77883i | 0.0777313 | + | 0.134635i | ||||
\(427\) | 1.22753 | + | 2.12614i | 0.0594041 | + | 0.102891i | ||||
\(428\) | 18.9564i | 0.916294i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2.20871 | − | 10.5826i | 0.106514 | − | 0.510337i | ||||
\(431\) | −7.33485 | + | 4.23478i | −0.353307 | + | 0.203982i | −0.666141 | − | 0.745826i | \(-0.732055\pi\) |
0.312834 | + | 0.949808i | \(0.398722\pi\) | |||||||
\(432\) | −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 | \(0.591412\pi\) | |||||||
\(434\) | − | 4.91010i | − | 0.235692i | ||||||
\(435\) | 7.64016 | + | 6.82847i | 0.366317 | + | 0.327400i | ||||
\(436\) | −20.3739 | − | 11.7629i | −0.975731 | − | 0.563339i | ||||
\(437\) | −7.93725 | −0.379690 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.24773 | − | 12.5534i | −0.345915 | − | 0.599143i | 0.639604 | − | 0.768704i | \(-0.279098\pi\) |
−0.985520 | + | 0.169562i | \(0.945765\pi\) | |||||||
\(440\) | −9.73371 | + | 3.20233i | −0.464036 | + | 0.152665i | ||||
\(441\) | −8.00000 | −0.380952 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | − | 19.9129i | − | 0.946089i | −0.881038 | − | 0.473045i | \(-0.843155\pi\) | ||
0.881038 | − | 0.473045i | \(-0.156845\pi\) | |||||||
\(444\) | −12.3131 | + | 7.10895i | −0.584352 | + | 0.337376i | ||||
\(445\) | 20.3357 | − | 6.69034i | 0.964007 | − | 0.317153i | ||||
\(446\) | 1.97822 | − | 3.42638i | 0.0936714 | − | 0.162244i | ||||
\(447\) | −16.6929 | −0.789545 | ||||||||
\(448\) | 2.95958 | − | 5.12614i | 0.139827 | − | 0.242187i | ||||
\(449\) | −9.54356 | − | 5.50998i | −0.450388 | − | 0.260032i | 0.257606 | − | 0.966250i | \(-0.417066\pi\) |
−0.707994 | + | 0.706218i | \(0.750400\pi\) | |||||||
\(450\) | −4.18710 | − | 1.82740i | −0.197382 | − | 0.0861445i | ||||
\(451\) | −3.50000 | + | 6.06218i | −0.164809 | + | 0.285457i | ||||
\(452\) | −11.5067 | + | 6.64337i | −0.541228 | + | 0.312478i | ||||
\(453\) | 4.83465 | + | 8.37386i | 0.227152 | + | 0.393438i | ||||
\(454\) | 0.373864 | 0.0175463 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −3.00000 | −0.140488 | ||||||||
\(457\) | 0.866025 | + | 1.50000i | 0.0405110 | + | 0.0701670i | 0.885570 | − | 0.464506i | \(-0.153768\pi\) |
−0.845059 | + | 0.534673i | \(0.820435\pi\) | |||||||
\(458\) | −10.3923 | + | 6.00000i | −0.485601 | + | 0.280362i | ||||
\(459\) | 11.4564 | − | 19.8431i | 0.534741 | − | 0.926198i | ||||
\(460\) | 3.75015 | − | 17.9681i | 0.174852 | − | 0.837765i | ||||
\(461\) | −31.0390 | − | 17.9204i | −1.44563 | − | 0.834635i | −0.447414 | − | 0.894327i | \(-0.647655\pi\) |
−0.998217 | + | 0.0596914i | \(0.980988\pi\) | |||||||
\(462\) | 1.04678 | − | 1.81307i | 0.0487004 | − | 0.0843516i | ||||
\(463\) | 39.4002 | 1.83108 | 0.915542 | − | 0.402223i | \(-0.131762\pi\) | ||||
0.915542 | + | 0.402223i | \(0.131762\pi\) | |||||||
\(464\) | 6.39564 | − | 11.0776i | 0.296910 | − | 0.514264i | ||||
\(465\) | 4.33624 | + | 13.1803i | 0.201088 | + | 0.611221i | ||||
\(466\) | 1.12159 | − | 0.647551i | 0.0519567 | − | 0.0299972i | ||||
\(467\) | − | 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 | ||||||||
\(470\) | −0.583398 | − | 1.77328i | −0.0269101 | − | 0.0817951i | ||||
\(471\) | −4.58258 | − | 7.93725i | −0.211154 | − | 0.365729i | ||||
\(472\) | 20.9276 | + | 12.0826i | 0.963272 | + | 0.556146i | ||||
\(473\) | 27.9989 | 1.28739 | ||||||||
\(474\) | −2.37386 | − | 1.37055i | −0.109035 | − | 0.0629515i | ||||
\(475\) | 5.14181 | + | 6.96863i | 0.235923 | + | 0.319743i | ||||
\(476\) | 14.2179i | 0.651677i | ||||||||
\(477\) | 13.1334 | + | 7.58258i | 0.601337 | + | 0.347182i | ||||
\(478\) | −0.0754495 | + | 0.0435608i | −0.00345098 | + | 0.00199242i | ||||
\(479\) | −4.03901 | + | 2.33193i | −0.184547 | + | 0.106548i | −0.589427 | − | 0.807821i | \(-0.700647\pi\) |
0.404880 | + | 0.914370i | \(0.367313\pi\) | |||||||
\(480\) | 2.16515 | − | 10.3739i | 0.0988252 | − | 0.473500i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 0.791288i | 0.0360422i | ||||||||
\(483\) | 3.96863 | + | 6.87386i | 0.180579 | + | 0.312772i | ||||
\(484\) | 3.58258 | + | 6.20520i | 0.162844 | + | 0.282055i | ||||
\(485\) | 16.9891 | − | 19.0086i | 0.771435 | − | 0.863134i | ||||
\(486\) | 7.30960i | 0.331570i | ||||||||
\(487\) | 5.33918 | − | 9.24773i | 0.241941 | − | 0.419055i | −0.719326 | − | 0.694673i | \(-0.755549\pi\) |
0.961267 | + | 0.275618i | \(0.0888825\pi\) | |||||||
\(488\) | 1.22753 | − | 2.12614i | 0.0555675 | − | 0.0962457i | ||||
\(489\) | 21.0707i | 0.952848i | ||||||||
\(490\) | 2.72300 | − | 3.04668i | 0.123013 | − | 0.137635i | ||||
\(491\) | −9.70871 | − | 16.8160i | −0.438148 | − | 0.758895i | 0.559399 | − | 0.828899i | \(-0.311032\pi\) |
−0.997547 | + | 0.0700041i | \(0.977699\pi\) | |||||||
\(492\) | −2.36965 | − | 4.10436i | −0.106832 | − | 0.185039i | ||||
\(493\) | 21.0000i | 0.945792i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 2.41742 | − | 11.5826i | 0.108655 | − | 0.520598i | ||||
\(496\) | 15.0000 | − | 8.66025i | 0.673520 | − | 0.388857i | ||||
\(497\) | 10.5353 | − | 6.08258i | 0.472574 | − | 0.272841i | ||||
\(498\) | 2.37960 | + | 1.37386i | 0.106632 | + | 0.0615643i | ||||
\(499\) | 0.723000i | 0.0323659i | 0.999869 | + | 0.0161830i | \(0.00515142\pi\) | ||||
−0.999869 | + | 0.0161830i | \(0.994849\pi\) | |||||||
\(500\) | −18.2047 | + | 8.34734i | −0.814139 | + | 0.373305i | ||||
\(501\) | 8.29129 | + | 4.78698i | 0.370427 | + | 0.213866i | ||||
\(502\) | 0.0754495 | 0.00336747 | ||||||||
\(503\) | 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 | ||||
\(505\) | 6.28926 | + | 19.1166i | 0.279868 | + | 0.850678i | ||||
\(506\) | −5.53901 | −0.246239 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | − | 31.7913i | − | 1.41051i | ||||||
\(509\) | 7.33485 | − | 4.23478i | 0.325111 | − | 0.187703i | −0.328557 | − | 0.944484i | \(-0.606562\pi\) |
0.653669 | + | 0.756781i | \(0.273229\pi\) | |||||||
\(510\) | 1.46299 | + | 4.44685i | 0.0647822 | + | 0.196910i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −22.8981 | −1.01196 | ||||||||
\(513\) | 4.33013 | − | 7.50000i | 0.191180 | − | 0.331133i | ||||
\(514\) | −7.18693 | − | 4.14938i | −0.317002 | − | 0.183021i | ||||
\(515\) | −1.44600 | + | 6.92820i | −0.0637184 | + | 0.305293i | ||||
\(516\) | −9.47822 | + | 16.4168i | −0.417255 | + | 0.722707i | ||||
\(517\) | 4.18710 | − | 2.41742i | 0.184149 | − | 0.106318i | ||||
\(518\) | −3.14033 | − | 5.43920i | −0.137978 | − | 0.238985i | ||||
\(519\) | 16.5826 | 0.727894 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 27.4955 | 1.20460 | 0.602299 | − | 0.798271i | \(-0.294252\pi\) | ||||
0.602299 | + | 0.798271i | \(0.294252\pi\) | |||||||
\(522\) | −2.09355 | − | 3.62614i | −0.0916322 | − | 0.158712i | ||||
\(523\) | −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 | ||||
\(525\) | 3.46410 | − | 7.93725i | 0.151186 | − | 0.346410i | ||||
\(526\) | −3.56080 | − | 2.05583i | −0.155258 | − | 0.0896383i | ||||
\(527\) | −14.2179 | + | 24.6261i | −0.619342 | + | 1.07273i | ||||
\(528\) | 7.38505 | 0.321393 | ||||||||
\(529\) | −1.00000 | + | 1.73205i | −0.0434783 | + | 0.0753066i | ||||
\(530\) | −7.35799 | + | 2.42074i | −0.319611 | + | 0.105150i | ||||
\(531\) | −24.1652 | + | 13.9518i | −1.04868 | + | 0.605455i | ||||
\(532\) | 5.37386i | 0.232987i | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 4.37386 | 0.189276 | ||||||||
\(535\) | 22.4781 | − | 7.39517i | 0.971814 | − | 0.319721i | ||||
\(536\) | −0.873864 | − | 1.51358i | −0.0377452 | − | 0.0653765i | ||||
\(537\) | −15.7315 | − | 9.08258i | −0.678864 | − | 0.391942i | ||||
\(538\) | −6.85275 | −0.295443 | ||||||||
\(539\) | 9.16515 | + | 5.29150i | 0.394771 | + | 0.227921i | ||||
\(540\) | 14.9323 | + | 13.3459i | 0.642586 | + | 0.574318i | ||||
\(541\) | − | 10.3923i | − | 0.446800i | −0.974727 | − | 0.223400i | \(-0.928284\pi\) | ||
0.974727 | − | 0.223400i | \(-0.0717156\pi\) | |||||||
\(542\) | −3.42638 | − | 1.97822i | −0.147175 | − | 0.0849718i | ||||
\(543\) | −7.57575 | + | 4.37386i | −0.325107 | + | 0.187700i | ||||
\(544\) | 18.8085 | − | 10.8591i | 0.806409 | − | 0.465580i | ||||
\(545\) | −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 | \(0.789325\pi\) | |||||||
\(548\) | −9.39320 | − | 16.2695i | −0.401258 | − | 0.694999i | ||||
\(549\) | 1.41742 | + | 2.45505i | 0.0604942 | + | 0.104779i | ||||
\(550\) | 3.58822 | + | 4.86306i | 0.153002 | + | 0.207362i | ||||
\(551\) | 7.93725i | 0.338138i | ||||||||
\(552\) | 3.96863 | − | 6.87386i | 0.168916 | − | 0.292571i | ||||
\(553\) | −5.19615 | + | 9.00000i | −0.220963 | + | 0.382719i | ||||
\(554\) | 3.38865i | 0.143970i | ||||||||
\(555\) | 13.2331 | + | 11.8273i | 0.561715 | + | 0.502039i | ||||
\(556\) | 19.4782 | + | 33.7373i | 0.826061 | + | 1.43078i | ||||
\(557\) | 3.87328 | + | 6.70871i | 0.164116 | + | 0.284257i | 0.936341 | − | 0.351092i | \(-0.114190\pi\) |
−0.772225 | + | 0.635349i | \(0.780856\pi\) | |||||||
\(558\) | − | 5.66970i | − | 0.240017i | ||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −10.5826 | − | 2.20871i | −0.447195 | − | 0.0933351i | ||||
\(561\) | −10.5000 | + | 6.06218i | −0.443310 | + | 0.255945i | ||||
\(562\) | −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 | \(0.727403\pi\) | |||||||
\(564\) | 3.27340i | 0.137835i | ||||||||
\(565\) | 12.3665 | + | 11.0527i | 0.520261 | + | 0.464989i | ||||
\(566\) | 10.9782 | + | 6.33828i | 0.461449 | + | 0.266418i | ||||
\(567\) | 1.73205 | 0.0727393 | ||||||||
\(568\) | −10.5353 | − | 6.08258i | −0.442053 | − | 0.255219i | ||||
\(569\) | 3.87386 | + | 6.70973i | 0.162401 | + | 0.281286i | 0.935729 | − | 0.352719i | \(-0.114743\pi\) |
−0.773328 | + | 0.634006i | \(0.781410\pi\) | |||||||
\(570\) | 0.552957 | + | 1.68075i | 0.0231608 | + | 0.0703989i | ||||
\(571\) | −35.0780 | −1.46797 | −0.733985 | − | 0.679166i | \(-0.762342\pi\) | ||||
−0.733985 | + | 0.679166i | \(0.762342\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 16.5826i | 0.692747i | ||||||||
\(574\) | 1.81307 | − | 1.04678i | 0.0756760 | − | 0.0436916i | ||||
\(575\) | −22.7691 | + | 2.56275i | −0.949537 | + | 0.106874i | ||||
\(576\) | 3.41742 | − | 5.91915i | 0.142393 | − | 0.246631i | ||||
\(577\) | −6.92820 | −0.288425 | −0.144212 | − | 0.989547i | \(-0.546065\pi\) | ||||
−0.144212 | + | 0.989547i | \(0.546065\pi\) | |||||||
\(578\) | −0.913701 | + | 1.58258i | −0.0380049 | + | 0.0658265i | ||||
\(579\) | −12.8739 | − | 7.43273i | −0.535020 | − | 0.308894i | ||||
\(580\) | −17.9681 | − | 3.75015i | −0.746083 | − | 0.155717i | ||||
\(581\) | 5.20871 | − | 9.02175i | 0.216094 | − | 0.374285i | ||||
\(582\) | 4.51088 | − | 2.60436i | 0.186982 | − | 0.107954i | ||||
\(583\) | −10.0308 | − | 17.3739i | −0.415433 | − | 0.719552i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.28674 | −0.342322 | ||||||||
\(587\) | 19.7478 | + | 34.2042i | 0.815078 | + | 1.41176i | 0.909272 | + | 0.416203i | \(0.136639\pi\) |
−0.0941934 | + | 0.995554i | \(0.530027\pi\) | |||||||
\(588\) | −6.20520 | + | 3.58258i | −0.255898 | + | 0.147743i | ||||
\(589\) | −5.37386 | + | 9.30780i | −0.221426 | + | 0.383521i | ||||
\(590\) | 2.91190 | − | 13.9518i | 0.119881 | − | 0.574385i | ||||
\(591\) | 12.7087 | + | 7.33738i | 0.522767 | + | 0.301819i | ||||
\(592\) | 11.0776 | − | 19.1869i | 0.455286 | − | 0.788578i | ||||
\(593\) | −21.1660 | −0.869184 | −0.434592 | − | 0.900627i | \(-0.643107\pi\) | ||||
−0.434592 | + | 0.900627i | \(0.643107\pi\) | |||||||
\(594\) | 3.02178 | − | 5.23388i | 0.123985 | − | 0.214749i | ||||
\(595\) | 16.8593 | − | 5.54661i | 0.691163 | − | 0.227389i | ||||
\(596\) | 25.8956 | − | 14.9509i | 1.06073 | − | 0.612411i | ||||
\(597\) | 10.5826i | 0.433116i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −15.4955 | −0.633127 | −0.316564 | − | 0.948571i | \(-0.602529\pi\) | ||||
−0.316564 | + | 0.948571i | \(0.602529\pi\) | |||||||
\(600\) | −8.60591 | + | 0.968627i | −0.351335 | + | 0.0395440i | ||||
\(601\) | −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 | ||||
\(603\) | 2.01810 | 0.0821834 | ||||||||
\(604\) | −15.0000 | − | 8.66025i | −0.610341 | − | 0.352381i | ||||
\(605\) | 5.96038 | − | 6.66888i | 0.242324 | − | 0.271128i | ||||
\(606\) | 4.11165i | 0.167024i | ||||||||
\(607\) | −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 | ||||
\(609\) | 6.87386 | − | 3.96863i | 0.278543 | − | 0.160817i | ||||
\(610\) | −1.41742 | − | 0.295834i | −0.0573898 | − | 0.0119780i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 16.4174i | 0.663635i | ||||||||
\(613\) | −2.95958 | − | 5.12614i | −0.119536 | − | 0.207043i | 0.800048 | − | 0.599936i | \(-0.204807\pi\) |
−0.919584 | + | 0.392894i | \(0.871474\pi\) | |||||||
\(614\) | 5.53901 | + | 9.59386i | 0.223536 | + | 0.387176i | ||||
\(615\) | −3.94242 | + | 4.41105i | −0.158974 | + | 0.177871i | ||||
\(616\) | 7.93725i | 0.319801i | ||||||||
\(617\) | −6.97588 | + | 12.0826i | −0.280838 | + | 0.486426i | −0.971591 | − | 0.236664i | \(-0.923946\pi\) |
0.690753 | + | 0.723091i | \(0.257279\pi\) | |||||||
\(618\) | −0.723000 | + | 1.25227i | −0.0290833 | + | 0.0503738i | ||||
\(619\) | − | 29.7309i | − | 1.19499i | −0.801874 | − | 0.597493i | \(-0.796164\pi\) | ||
0.801874 | − | 0.597493i | \(-0.203836\pi\) | |||||||
\(620\) | −18.5316 | − | 16.5629i | −0.744249 | − | 0.665180i | ||||
\(621\) | 11.4564 | + | 19.8431i | 0.459731 | + | 0.796278i | ||||
\(622\) | 1.73205 | + | 3.00000i | 0.0694489 | + | 0.120289i | ||||
\(623\) | − | 16.5826i | − | 0.664367i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 17.0000 | + | 18.3303i | 0.680000 | + | 0.733212i | ||||
\(626\) | −1.28674 | + | 0.742901i | −0.0514286 | + | 0.0296923i | ||||
\(627\) | −3.96863 | + | 2.29129i | −0.158492 | + | 0.0915052i | ||||
\(628\) | 14.2179 | + | 8.20871i | 0.567356 | + | 0.327563i | ||||
\(629\) | 36.3731i | 1.45029i | ||||||||
\(630\) | −2.35819 | + | 2.63850i | −0.0939524 | + | 0.105120i | ||||
\(631\) | 5.12614 | + | 2.95958i | 0.204068 | + | 0.117819i | 0.598552 | − | 0.801084i | \(-0.295743\pi\) |
−0.394483 | + | 0.918903i | \(0.629076\pi\) | |||||||
\(632\) | 10.3923 | 0.413384 | ||||||||
\(633\) | −0.143025 | − | 0.0825757i | −0.00568475 | − | 0.00328209i | ||||
\(634\) | −0.0435608 | − | 0.0754495i | −0.00173002 | − | 0.00299648i | ||||
\(635\) | −37.6974 | + | 12.4022i | −1.49598 | + | 0.492167i | ||||
\(636\) | 13.5826 | 0.538584 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 5.53901i | 0.219292i | ||||||||
\(639\) | 12.1652 | − | 7.02355i | 0.481246 | − | 0.277847i | ||||
\(640\) | 7.71472 | + | 23.4494i | 0.304951 | + | 0.926920i | ||||
\(641\) | −9.08258 | + | 15.7315i | −0.358740 | + | 0.621356i | −0.987751 | − | 0.156041i | \(-0.950127\pi\) |
0.629010 | + | 0.777397i | \(0.283460\pi\) | |||||||
\(642\) | 4.83465 | 0.190809 | ||||||||
\(643\) | −10.8968 | + | 18.8739i | −0.429729 | + | 0.744313i | −0.996849 | − | 0.0793227i | \(-0.974724\pi\) |
0.567120 | + | 0.823635i | \(0.308058\pi\) | |||||||
\(644\) | −12.3131 | − | 7.10895i | −0.485203 | − | 0.280132i | ||||
\(645\) | 23.1642 | + | 4.83465i | 0.912090 | + | 0.190364i | ||||
\(646\) | −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 | \(0.155247\pi\) | |||||||
\(648\) | −0.866025 | − | 1.50000i | −0.0340207 | − | 0.0589256i | ||||
\(649\) | 36.9129 | 1.44896 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 10.7477 | 0.421237 | ||||||||
\(652\) | −18.8718 | − | 32.6869i | −0.739077 | − | 1.28012i | ||||
\(653\) | 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 | ||||
\(655\) | 16.5975 | + | 3.46410i | 0.648518 | + | 0.135354i | ||||
\(656\) | 6.39564 | + | 3.69253i | 0.249708 | + | 0.144169i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.44600 | −0.0563710 | ||||||||
\(659\) | 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 | ||||
\(661\) | −15.8739 | + | 9.16478i | −0.617422 | + | 0.356469i | −0.775865 | − | 0.630900i | \(-0.782686\pi\) |
0.158443 | + | 0.987368i | \(0.449353\pi\) | |||||||
\(662\) | 2.04356i | 0.0794252i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −10.4174 | −0.404274 | ||||||||
\(665\) | 6.37221 | − | 2.09642i | 0.247104 | − | 0.0812957i | ||||
\(666\) | −3.62614 | − | 6.28065i | −0.140510 | − | 0.243370i | ||||
\(667\) | −18.1865 | − | 10.5000i | −0.704185 | − | 0.406562i | ||||
\(668\) | −17.1497 | −0.663542 | ||||||||
\(669\) | 7.50000 | + | 4.33013i | 0.289967 | + | 0.167412i | ||||
\(670\) | −0.686911 | + | 0.768563i | −0.0265377 | + | 0.0296922i | ||||
\(671\) | − | 3.75015i | − | 0.144773i | ||||||
\(672\) | −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 | \(0.179118\pi\) | |||||||
\(674\) | −12.1652 | + | 7.02355i | −0.468584 | + | 0.270537i | ||||
\(675\) | 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 | \(-0.0173489\pi\) | |||||||
\(678\) | 1.69433 | + | 2.93466i | 0.0650702 | + | 0.112705i | ||||
\(679\) | −9.87386 | − | 17.1020i | −0.378924 | − | 0.656316i | ||||
\(680\) | −13.2331 | − | 11.8273i | −0.507468 | − | 0.453555i | ||||
\(681\) | 0.818350i | 0.0313593i | ||||||||
\(682\) | −3.75015 | + | 6.49545i | −0.143601 | + | 0.248724i | ||||
\(683\) | 16.5498 | − | 28.6652i | 0.633262 | − | 1.09684i | −0.353619 | − | 0.935390i | \(-0.615049\pi\) |
0.986881 | − | 0.161452i | \(-0.0516177\pi\) | |||||||
\(684\) | 6.20520i | 0.237262i | ||||||||
\(685\) | −15.6276 | + | 17.4852i | −0.597100 | + | 0.668076i | ||||
\(686\) | −4.35208 | − | 7.53803i | −0.166163 | − | 0.287803i | ||||
\(687\) | −13.1334 | − | 22.7477i | −0.501071 | − | 0.867880i | ||||
\(688\) | − | 29.5390i | − | 1.12616i | ||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −4.58258 | − | 0.956439i | −0.174456 | − | 0.0364110i | ||||
\(691\) | −17.1261 | + | 9.88778i | −0.651509 | + | 0.376149i | −0.789034 | − | 0.614349i | \(-0.789419\pi\) |
0.137525 | + | 0.990498i | \(0.456085\pi\) | |||||||
\(692\) | −25.7246 | + | 14.8521i | −0.977901 | + | 0.564591i | ||||
\(693\) | −7.93725 | − | 4.58258i | −0.301511 | − | 0.174078i | ||||
\(694\) | 9.74475i | 0.369906i | ||||||||
\(695\) | 32.4062 | − | 36.2582i | 1.22924 | − | 1.37535i | ||||
\(696\) | −6.87386 | − | 3.96863i | −0.260553 | − | 0.150430i | ||||
\(697\) | −12.1244 | −0.459243 | ||||||||
\(698\) | −0.971326 | − | 0.560795i | −0.0367652 | − | 0.0212264i | ||||
\(699\) | 1.41742 | + | 2.45505i | 0.0536119 | + | 0.0928586i | ||||
\(700\) | 1.73509 | + | 15.4157i | 0.0655802 | + | 0.582658i | ||||
\(701\) | −21.1652 | −0.799397 | −0.399698 | − | 0.916647i | \(-0.630885\pi\) | ||||
−0.399698 | + | 0.916647i | \(0.630885\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 13.7477i | 0.518505i | ||||||||
\(704\) | −7.83030 | + | 4.52083i | −0.295116 | + | 0.170385i | ||||
\(705\) | 3.88153 | − | 1.27700i | 0.146187 | − | 0.0480946i | ||||
\(706\) | −1.56080 | + | 2.70338i | −0.0587413 | + | 0.101743i | ||||
\(707\) | 15.5885 | 0.586264 | ||||||||
\(708\) | −12.4958 | + | 21.6434i | −0.469621 | + | 0.813408i | ||||
\(709\) | −31.5000 | − | 18.1865i | −1.18301 | − | 0.683010i | −0.226299 | − | 0.974058i | \(-0.572663\pi\) |
−0.956708 | + | 0.291048i | \(0.905996\pi\) | |||||||
\(710\) | −1.46590 | + | 7.02355i | −0.0550143 | + | 0.263589i | ||||
\(711\) | −6.00000 | + | 10.3923i | −0.225018 | + | 0.389742i | ||||
\(712\) | −14.3609 | + | 8.29129i | −0.538199 | + | 0.310729i | ||||
\(713\) | −14.2179 | − | 24.6261i | −0.532465 | − | 0.922256i | ||||
\(714\) | 3.62614 | 0.135705 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 32.5390 | 1.21604 | ||||||||
\(717\) | −0.0953502 | − | 0.165151i | −0.00356092 | − | 0.00616769i | ||||
\(718\) | 7.72665 | − | 4.46099i | 0.288356 | − | 0.166482i | ||||
\(719\) | −12.2477 | + | 21.2137i | −0.456763 | + | 0.791137i | −0.998788 | − | 0.0492257i | \(-0.984325\pi\) |
0.542025 | + | 0.840363i | \(0.317658\pi\) | |||||||
\(720\) | −12.2197 | − | 2.55040i | −0.455402 | − | 0.0950478i | ||||
\(721\) | 4.74773 | + | 2.74110i | 0.176815 | + | 0.102084i | ||||
\(722\) | 3.65480 | − | 6.33030i | 0.136018 | − | 0.235589i | ||||
\(723\) | −1.73205 | −0.0644157 | ||||||||
\(724\) | 7.83485 | − | 13.5704i | 0.291180 | − | 0.504338i | ||||
\(725\) | 2.56275 | + | 22.7691i | 0.0951780 | + | 0.845623i | ||||
\(726\) | 1.58258 | − | 0.913701i | 0.0587349 | − | 0.0339106i | ||||
\(727\) | − | 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 | ||||
\(733\) | 22.8027 | 0.842237 | 0.421119 | − | 0.907006i | \(-0.361638\pi\) | ||||
0.421119 | + | 0.907006i | \(0.361638\pi\) | |||||||
\(734\) | −0.691478 | − | 0.399225i | −0.0255229 | − | 0.0147357i | ||||
\(735\) | 6.66888 | + | 5.96038i | 0.245985 | + | 0.219852i | ||||
\(736\) | 21.7182i | 0.800544i | ||||||||
\(737\) | −2.31203 | − | 1.33485i | −0.0851646 | − | 0.0491698i | ||||
\(738\) | 2.09355 | − | 1.20871i | 0.0770647 | − | 0.0444933i | ||||
\(739\) | 14.7523 | − | 8.51723i | 0.542671 | − | 0.313311i | −0.203490 | − | 0.979077i | \(-0.565228\pi\) |
0.746161 | + | 0.665766i | \(0.231895\pi\) | |||||||
\(740\) | −31.1216 | − | 6.49545i | −1.14405 | − | 0.238778i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 6.00000i | 0.220267i | ||||||||
\(743\) | 2.86423 | + | 4.96099i | 0.105078 | + | 0.182001i | 0.913770 | − | 0.406232i | \(-0.133157\pi\) |
−0.808692 | + | 0.588232i | \(0.799824\pi\) | |||||||
\(744\) | −5.37386 | − | 9.30780i | −0.197015 | − | 0.341241i | ||||
\(745\) | −27.8306 | − | 24.8739i | −1.01964 | − | 0.911310i | ||||
\(746\) | − | 5.93905i | − | 0.217444i | ||||||
\(747\) | 6.01450 | − | 10.4174i | 0.220059 | − | 0.381154i | ||||
\(748\) | 10.8591 | − | 18.8085i | 0.397048 | − | 0.687708i | ||||
\(749\) | − | 18.3296i | − | 0.669748i | ||||||
\(750\) | 2.12891 | + | 4.64293i | 0.0777367 | + | 0.169536i | ||||
\(751\) | −5.87386 | − | 10.1738i | −0.214340 | − | 0.371248i | 0.738728 | − | 0.674004i | \(-0.235427\pi\) |
−0.953068 | + | 0.302755i | \(0.902093\pi\) | |||||||
\(752\) | −2.55040 | − | 4.41742i | −0.0930036 | − | 0.161087i | ||||
\(753\) | 0.165151i | 0.00601845i | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −4.41742 | + | 21.1652i | −0.160767 | + | 0.770279i | ||||
\(756\) | 13.4347 | − | 7.75650i | 0.488614 | − | 0.282101i | ||||
\(757\) | 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 | ||||
\(759\) | − | 12.1244i | − | 0.440086i | ||||||
\(760\) | −5.00166 | − | 4.47028i | −0.181429 | − | 0.162154i | ||||
\(761\) | 30.7087 | + | 17.7297i | 1.11319 | + | 0.642701i | 0.939654 | − | 0.342127i | \(-0.111147\pi\) |
0.173536 | + | 0.984827i | \(0.444481\pi\) | |||||||
\(762\) | −8.10805 | −0.293724 | ||||||||
\(763\) | 19.7001 | + | 11.3739i | 0.713192 | + | 0.411762i | ||||
\(764\) | −14.8521 | − | 25.7246i | −0.537330 | − | 0.930682i | ||||
\(765\) | 19.4674 | − | 6.40467i | 0.703846 | − | 0.231561i | ||||
\(766\) | 10.7913 | 0.389905 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | − | 1.79129i | − | 0.0646375i | ||||||
\(769\) | 13.5000 | − | 7.79423i | 0.486822 | − | 0.281067i | −0.236433 | − | 0.971648i | \(-0.575978\pi\) |
0.723255 | + | 0.690581i | \(0.242645\pi\) | |||||||
\(770\) | 4.44685 | − | 1.46299i | 0.160253 | − | 0.0527224i | ||||
\(771\) | 9.08258 | − | 15.7315i | 0.327101 | − | 0.566556i | ||||
\(772\) | 26.6283 | 0.958374 | ||||||||
\(773\) | −12.0767 | + | 20.9174i | −0.434368 | + | 0.752347i | −0.997244 | − | 0.0741940i | \(-0.976362\pi\) |
0.562876 | + | 0.826541i | \(0.309695\pi\) | |||||||
\(774\) | −8.37386 | − | 4.83465i | −0.300992 | − | 0.173778i | ||||
\(775\) | −12.4104 | + | 28.4358i | −0.445795 | + | 1.02144i | ||||
\(776\) | −9.87386 | + | 17.1020i | −0.354451 | + | 0.613927i | ||||
\(777\) | 11.9059 | − | 6.87386i | 0.427121 | − | 0.246598i | ||||
\(778\) | 0.723000 | + | 1.25227i | 0.0259208 | + | 0.0448962i | ||||
\(779\) | −4.58258 | −0.164188 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −18.5826 | −0.664937 | ||||||||
\(782\) | −4.79693 | − | 8.30852i | −0.171538 | − | 0.297112i | ||||
\(783\) | 19.8431 | − | 11.4564i | 0.709136 | − | 0.409420i | ||||
\(784\) | 5.58258 | − | 9.66930i | 0.199378 | − | 0.345332i | ||||
\(785\) | 4.18710 | − | 20.0616i | 0.149444 | − | 0.716030i | ||||
\(786\) | 3.00000 | + | 1.73205i | 0.107006 | + | 0.0617802i | ||||
\(787\) | 8.15573 | − | 14.1261i | 0.290720 | − | 0.503542i | −0.683260 | − | 0.730175i | \(-0.739438\pi\) |
0.973980 | + | 0.226633i | \(0.0727717\pi\) | |||||||
\(788\) | −26.2867 | −0.936425 | ||||||||
\(789\) | 4.50000 | − | 7.79423i | 0.160204 | − | 0.277482i | ||||
\(790\) | −1.91550 | − | 5.82229i | −0.0681504 | − | 0.207148i | ||||
\(791\) | 11.1261 | − | 6.42368i | 0.395600 | − | 0.228400i | ||||
\(792\) | 9.16515i | 0.325669i | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −9.29583 | −0.329897 | ||||||||
\(795\) | −5.29875 | − | 16.1059i | −0.187927 | − | 0.571218i | ||||
\(796\) | −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 | \(0.951785\pi\) | |||||||
\(798\) | 1.37055 | 0.0485170 | ||||||||
\(799\) | 7.25227 | + | 4.18710i | 0.256567 | + | 0.148129i | ||||
\(800\) | 19.0678 | − | 14.0692i | 0.674149 | − | 0.497422i | ||||
\(801\) | − | 19.1479i | − | 0.676558i | ||||||
\(802\) | 11.8006 | + | 6.81307i | 0.416693 | + | 0.240578i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 1.56534 | − | 0.903750i | 0.0552053 | − | 0.0318728i | ||||
\(805\) | −3.62614 | + | 17.3739i | −0.127805 | + | 0.612348i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | − | 15.0000i | − | 0.528025i | ||||||
\(808\) | −7.79423 | − | 13.5000i | −0.274200 | − | 0.474928i | ||||
\(809\) | −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 | ||||
\(811\) | − | 50.5155i | − | 1.77384i | −0.461923 | − | 0.886920i | \(-0.652840\pi\) | ||
0.461923 | − | 0.886920i | \(-0.347160\pi\) | |||||||
\(812\) | −7.10895 | + | 12.3131i | −0.249475 | + | 0.432104i | ||||
\(813\) | 4.33013 | − | 7.50000i | 0.151864 | − | 0.263036i | ||||
\(814\) | 9.59386i | 0.336264i | ||||||||
\(815\) | −31.3973 | + | 35.1294i | −1.09980 | + | 1.23053i | ||||
\(816\) | 6.39564 | + | 11.0776i | 0.223892 | + | 0.387793i | ||||
\(817\) | 9.16478 | + | 15.8739i | 0.320635 | + | 0.555356i | ||||
\(818\) | − | 3.95644i | − | 0.138334i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.16515 | − | 10.3739i | 0.0756104 | − | 0.362271i | ||||
\(821\) | −15.7087 | + | 9.06943i | −0.548238 | + | 0.316525i | −0.748411 | − | 0.663235i | \(-0.769183\pi\) |
0.200173 | + | 0.979761i | \(0.435850\pi\) | |||||||
\(822\) | −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 | \(0.851114\pi\) | |||||||
\(824\) | − | 5.48220i | − | 0.190982i | ||||||
\(825\) | −10.6448 | + | 7.85425i | −0.370603 | + | 0.273450i | ||||
\(826\) | −9.56080 | − | 5.51993i | −0.332663 | − | 0.192063i | ||||
\(827\) | 10.7737 | 0.374638 | 0.187319 | − | 0.982299i | \(-0.440020\pi\) | ||||
0.187319 | + | 0.982299i | \(0.440020\pi\) | |||||||
\(828\) | −14.2179 | − | 8.20871i | −0.494106 | − | 0.285272i | ||||
\(829\) | −16.6652 | − | 28.8649i | −0.578805 | − | 1.00252i | −0.995617 | − | 0.0935264i | \(-0.970186\pi\) |
0.416812 | − | 0.908993i | \(-0.363147\pi\) | |||||||
\(830\) | 1.92013 | + | 5.83636i | 0.0666487 | + | 0.202583i | ||||
\(831\) | −7.41742 | −0.257308 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 18.3303i | 0.635107i | ||||||||
\(834\) | 8.60436 | − | 4.96773i | 0.297944 | − | 0.172018i | ||||
\(835\) | 6.69034 | + | 20.3357i | 0.231529 | + | 0.703747i | ||||
\(836\) | 4.10436 | − | 7.10895i | 0.141952 | − | 0.245868i | ||||
\(837\) | 31.0260 | 1.07242 | ||||||||
\(838\) | 1.33283 | − | 2.30852i | 0.0460417 | − | 0.0797466i | ||||
\(839\) | −37.8303 | − | 21.8413i | −1.30605 | − | 0.754047i | −0.324613 | − | 0.945847i | \(-0.605234\pi\) |
−0.981434 | + | 0.191800i | \(0.938567\pi\) | |||||||
\(840\) | −1.37055 | + | 6.56670i | −0.0472885 | + | 0.226573i | ||||
\(841\) | 4.00000 | − | 6.92820i | 0.137931 | − | 0.238904i | ||||
\(842\) | −2.16900 | + | 1.25227i | −0.0747487 | + | 0.0431562i | ||||
\(843\) | −1.82740 | − | 3.16515i | −0.0629390 | − | 0.109014i | ||||
\(844\) | 0.295834 | 0.0101830 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −1.66970 | −0.0574054 | ||||||||
\(847\) | −3.46410 | − | 6.00000i | −0.119028 | − | 0.206162i | ||||
\(848\) | −18.3296 | + | 10.5826i | −0.629440 | + | 0.363407i | ||||
\(849\) | −13.8739 | + | 24.0302i | −0.476150 | + | 0.824716i | ||||
\(850\) | −4.18710 | + | 9.59386i | −0.143616 | + | 0.329067i | ||||
\(851\) | −31.5000 | − | 18.1865i | −1.07981 | − | 0.623426i | ||||
\(852\) | 6.29060 | − | 10.8956i | 0.215513 | − | 0.373279i | ||||
\(853\) | −5.63310 | −0.192874 | −0.0964369 | − | 0.995339i | \(-0.530745\pi\) | ||||
−0.0964369 | + | 0.995339i | \(0.530745\pi\) | |||||||
\(854\) | −0.560795 | + | 0.971326i | −0.0191900 | + | 0.0332381i | ||||
\(855\) | 7.35799 | − | 2.42074i | 0.251638 | − | 0.0827875i | ||||
\(856\) | −15.8739 | + | 9.16478i | −0.542557 | + | 0.313246i | ||||
\(857\) | − | 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 | \(0.227744\pi\) | |||||||
\(860\) | −40.2648 | + | 13.2469i | −1.37302 | + | 0.451715i | ||||
\(861\) | 2.29129 | + | 3.96863i | 0.0780869 | + | 0.135250i | ||||
\(862\) | −3.35093 | − | 1.93466i | −0.114133 | − | 0.0658947i | ||||
\(863\) | 13.6657 | 0.465186 | 0.232593 | − | 0.972574i | \(-0.425279\pi\) | ||||
0.232593 | + | 0.972574i | \(0.425279\pi\) | |||||||
\(864\) | −20.5218 | − | 11.8483i | −0.698165 | − | 0.403086i | ||||
\(865\) | 27.6468 | + | 24.7096i | 0.940019 | + | 0.840152i | ||||
\(866\) | 4.45325i | 0.151328i | ||||||||
\(867\) | −3.46410 | − | 2.00000i | −0.117647 | − | 0.0679236i | ||||
\(868\) | −16.6730 | + | 9.62614i | −0.565917 | + | 0.326732i | ||||
\(869\) | 13.7477 | − | 7.93725i | 0.466360 | − | 0.269253i | ||||
\(870\) | −0.956439 | + | 4.58258i | −0.0324263 | + | 0.155364i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | − | 22.7477i | − | 0.770335i | ||||||
\(873\) | −11.4014 | − | 19.7477i | −0.385877 | − | 0.668359i | ||||
\(874\) | −1.81307 | − | 3.14033i | −0.0613279 | − | 0.106223i | ||||
\(875\) | 17.6027 | − | 8.07130i | 0.595079 | − | 0.272860i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −3.96863 | + | 6.87386i | −0.134011 | + | 0.232114i | −0.925219 | − | 0.379433i | \(-0.876119\pi\) |
0.791208 | + | 0.611547i | \(0.209452\pi\) | |||||||
\(878\) | 3.31113 | − | 5.73504i | 0.111745 | − | 0.193548i | ||||
\(879\) | − | 18.1389i | − | 0.611809i | ||||||
\(880\) | 12.3125 | + | 11.0044i | 0.415054 | + | 0.370959i | ||||
\(881\) | −18.2477 | − | 31.6060i | −0.614782 | − | 1.06483i | −0.990423 | − | 0.138068i | \(-0.955911\pi\) |
0.375641 | − | 0.926765i | \(-0.377422\pi\) | |||||||
\(882\) | −1.82740 | − | 3.16515i | −0.0615318 | − | 0.106576i | ||||
\(883\) | − | 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 | ||||
\(886\) | 7.87841 | − | 4.54860i | 0.264680 | − | 0.152813i | ||||
\(887\) | 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 | ||||
\(889\) | 30.7400i | 1.03099i | ||||||||
\(890\) | 7.29219 | + | 6.51747i | 0.244435 | + | 0.218466i | ||||
\(891\) | −2.29129 | − | 1.32288i | −0.0767610 | − | 0.0443180i | ||||
\(892\) | −15.5130 | −0.519414 | ||||||||
\(893\) | 2.74110 | + | 1.58258i | 0.0917275 | + | 0.0529589i | ||||
\(894\) | −3.81307 | − | 6.60443i | −0.127528 | − | 0.220885i | ||||
\(895\) | −12.6939 | − | 38.5840i | −0.424311 | − | 1.28972i | ||||
\(896\) | 19.1216 | 0.638808 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | − | 5.03447i | − | 0.168002i | ||||||
\(899\) | −24.6261 | + | 14.2179i | −0.821328 | + | 0.474194i | ||||
\(900\) | 2.00351 | + | 17.8005i | 0.0667836 | + | 0.593349i | ||||
\(901\) | 17.3739 | − | 30.0924i | 0.578807 | − | 1.00252i | ||||
\(902\) | −3.19795 | −0.106480 | ||||||||
\(903\) | 9.16478 | − | 15.8739i | 0.304985 | − | 0.528249i | ||||
\(904\) | −11.1261 | − | 6.42368i | −0.370050 | − | 0.213648i | ||||
\(905\) | −19.1479 | − | 3.99640i | −0.636498 | − | 0.132845i | ||||
\(906\) | −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 | \(0.366434\pi\) | |||||||
\(908\) | −0.732950 | − | 1.26951i | −0.0243238 | − | 0.0421301i | ||||
\(909\) | 18.0000 | 0.597022 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −7.91288 | −0.262165 | −0.131083 | − | 0.991371i | \(-0.541845\pi\) | ||||
−0.131083 | + | 0.991371i | \(0.541845\pi\) | |||||||
\(912\) | 2.41733 | + | 4.18693i | 0.0800457 | + | 0.138643i | ||||
\(913\) | −13.7810 | + | 7.95644i | −0.456083 | + | 0.263320i | ||||
\(914\) | −0.395644 | + | 0.685275i | −0.0130867 | + | 0.0226669i | ||||
\(915\) | 0.647551 | − | 3.10260i | 0.0214074 | − | 0.102569i | ||||
\(916\) | 40.7477 | + | 23.5257i | 1.34634 | + | 0.777311i | ||||
\(917\) | 6.56670 | − | 11.3739i | 0.216852 | − | 0.375598i | ||||
\(918\) | 10.4678 | 0.345487 | ||||||||
\(919\) | 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 | ||||
\(921\) | −21.0000 | + | 12.1244i | −0.691974 | + | 0.399511i | ||||
\(922\) | − | 16.3739i | − | 0.539244i | ||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −8.20871 | −0.270047 | ||||||||
\(925\) | 4.43881 | + | 39.4373i | 0.145947 | + | 1.29669i | ||||
\(926\) | 9.00000 | + | 15.5885i | 0.295758 | + | 0.512268i | ||||
\(927\) | 5.48220 | + | 3.16515i | 0.180059 | + | 0.103957i | ||||
\(928\) | 21.7182 | 0.712935 | ||||||||
\(929\) | −22.8303 | − | 13.1811i | −0.749038 | − | 0.432457i | 0.0763082 | − | 0.997084i | \(-0.475687\pi\) |
−0.825346 | + | 0.564627i | \(0.809020\pi\) | |||||||
\(930\) | −4.22419 | + | 4.72631i | −0.138517 | + | 0.154982i | ||||
\(931\) | 6.92820i | 0.227063i | ||||||||
\(932\) | −4.39770 | − | 2.53901i | −0.144052 | − | 0.0831682i | ||||
\(933\) | −6.56670 | + | 3.79129i | −0.214984 | + | 0.124121i | ||||
\(934\) | 9.62614 | − | 5.55765i | 0.314977 | − | 0.181852i | ||||
\(935\) | −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 | \(0.827994\pi\) | |||||||
\(938\) | 0.399225 | + | 0.691478i | 0.0130352 | + | 0.0225775i | ||||
\(939\) | −1.62614 | − | 2.81655i | −0.0530670 | − | 0.0919147i | ||||
\(940\) | −4.87768 | + | 5.45748i | −0.159092 | + | 0.178003i | ||||
\(941\) | − | 26.4575i | − | 0.862490i | −0.902235 | − | 0.431245i | \(-0.858074\pi\) | ||
0.902235 | − | 0.431245i | \(-0.141926\pi\) | |||||||
\(942\) | 2.09355 | − | 3.62614i | 0.0682116 | − | 0.118146i | ||||
\(943\) | 6.06218 | − | 10.5000i | 0.197412 | − | 0.341927i | ||||
\(944\) | − | 38.9434i | − | 1.26750i | ||||||
\(945\) | −14.4385 | − | 12.9046i | −0.469686 | − | 0.419787i | ||||
\(946\) | 6.39564 | + | 11.0776i | 0.207940 | + | 0.360163i | ||||
\(947\) | 7.16658 | + | 12.4129i | 0.232883 | + | 0.403364i | 0.958655 | − | 0.284570i | \(-0.0918509\pi\) |
−0.725773 | + | 0.687935i | \(0.758518\pi\) | |||||||
\(948\) | 10.7477i | 0.349070i | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −1.58258 | + | 3.62614i | −0.0513455 | + | 0.117647i | ||||
\(951\) | 0.165151 | − | 0.0953502i | 0.00535540 | − | 0.00309194i | ||||
\(952\) | −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 | \(0.708433\pi\) | |||||||
\(954\) | 6.92820i | 0.224309i | ||||||||
\(955\) | −24.7096 | + | 27.6468i | −0.799584 | + | 0.894629i | ||||
\(956\) | 0.295834 | + | 0.170800i | 0.00956794 | + | 0.00552406i | ||||
\(957\) | −12.1244 | −0.391925 | ||||||||
\(958\) | −1.84522 | − | 1.06534i | −0.0596165 | − | 0.0344196i | ||||
\(959\) | 9.08258 | + | 15.7315i | 0.293292 | + | 0.507996i | ||||
\(960\) | −7.25885 | + | 2.38812i | −0.234278 | + | 0.0770762i | ||||
\(961\) | −7.50455 | −0.242082 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | − | 21.1652i | − | 0.682037i | ||||||
\(964\) | 2.68693 | − | 1.55130i | 0.0865402 | − | 0.0499640i | ||||
\(965\) | −10.3881 | − | 31.5753i | −0.334404 | − | 1.01644i | ||||
\(966\) | −1.81307 | + | 3.14033i | −0.0583345 | + | 0.101038i | ||||
\(967\) | −37.3821 | −1.20213 | −0.601064 | − | 0.799201i | \(-0.705256\pi\) | ||||
−0.601064 | + | 0.799201i | \(0.705256\pi\) | |||||||
\(968\) | −3.46410 | + | 6.00000i | −0.111340 | + | 0.192847i | ||||
\(969\) | −6.87386 | − | 3.96863i | −0.220820 | − | 0.127491i | ||||
\(970\) | 11.4014 | + | 2.37960i | 0.366075 | + | 0.0764044i | ||||
\(971\) | 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 | ||||
\(973\) | −18.8341 | − | 32.6216i | −0.603793 | − | 1.04580i | ||||
\(974\) | 4.87841 | 0.156314 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −3.95644 | −0.126643 | ||||||||
\(977\) | −17.6542 | − | 30.5780i | −0.564809 | − | 0.978278i | −0.997067 | − | 0.0765281i | \(-0.975617\pi\) |
0.432258 | − | 0.901750i | \(-0.357717\pi\) | |||||||
\(978\) | −8.33648 | + | 4.81307i | −0.266571 | + | 0.153905i | ||||
\(979\) | −12.6652 | + | 21.9367i | −0.404780 | + | 0.701100i | ||||
\(980\) | −15.6838 | − | 3.27340i | −0.501001 | − | 0.104565i | ||||
\(981\) | 22.7477 | + | 13.1334i | 0.726279 | + | 0.419317i | ||||
\(982\) | 4.43543 | − | 7.68239i | 0.141540 | − | 0.245155i | ||||
\(983\) | 55.0840 | 1.75691 | 0.878454 | − | 0.477827i | \(-0.158576\pi\) | ||||
0.878454 | + | 0.477827i | \(0.158576\pi\) | |||||||
\(984\) | 2.29129 | − | 3.96863i | 0.0730436 | − | 0.126515i | ||||
\(985\) | 10.2548 | + | 31.1702i | 0.326746 | + | 0.993165i | ||||
\(986\) | −8.30852 | + | 4.79693i | −0.264597 | + | 0.152765i | ||||
\(987\) | − | 3.16515i | − | 0.100748i | ||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −48.4955 | −1.54207 | ||||||||
\(990\) | 5.13478 | − | 1.68931i | 0.163194 | − | 0.0536899i | ||||
\(991\) | 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 | ||||
\(993\) | −4.47315 | −0.141951 | ||||||||
\(994\) | 4.81307 | + | 2.77883i | 0.152661 | + | 0.0881390i | ||||
\(995\) | −15.7690 | + | 17.6435i | −0.499912 | + | 0.559336i | ||||
\(996\) | − | 10.7737i | − | 0.341378i | ||||||
\(997\) | −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 | ||||
\(999\) | 34.3693 | − | 19.8431i | 1.08740 | − | 0.627809i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))