Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(109,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 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("648.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.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: | \(5.17430605098\) |
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: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 216) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 541.2 | ||
Root | \(-0.228425 + 1.39564i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 648.541 |
Dual form | 648.2.n.n.109.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.228425 | + | 1.39564i | −0.161521 | + | 0.986869i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.89564 | − | 0.637600i | −0.947822 | − | 0.318800i | ||||
\(5\) | 0.866025 | − | 0.500000i | 0.387298 | − | 0.223607i | −0.293691 | − | 0.955901i | \(-0.594884\pi\) |
0.680989 | + | 0.732294i | \(0.261550\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.500000 | + | 0.866025i | −0.188982 | + | 0.327327i | −0.944911 | − | 0.327327i | \(-0.893852\pi\) |
0.755929 | + | 0.654654i | \(0.227186\pi\) | |||||||
\(8\) | 1.32288 | − | 2.50000i | 0.467707 | − | 0.883883i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.500000 | + | 1.32288i | 0.158114 | + | 0.418330i | ||||
\(11\) | −2.59808 | − | 1.50000i | −0.783349 | − | 0.452267i | 0.0542666 | − | 0.998526i | \(-0.482718\pi\) |
−0.837616 | + | 0.546259i | \(0.816051\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.58258 | + | 2.64575i | −1.27098 | + | 0.733799i | −0.975172 | − | 0.221449i | \(-0.928921\pi\) |
−0.295806 | + | 0.955248i | \(0.595588\pi\) | |||||||
\(14\) | −1.09445 | − | 0.895644i | −0.292504 | − | 0.239371i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.18693 | + | 2.41733i | 0.796733 | + | 0.604332i | ||||
\(17\) | −5.29150 | −1.28338 | −0.641689 | − | 0.766965i | \(-0.721766\pi\) | ||||
−0.641689 | + | 0.766965i | \(0.721766\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.29150i | 1.21395i | 0.794719 | + | 0.606977i | \(0.207618\pi\) | ||||
−0.794719 | + | 0.606977i | \(0.792382\pi\) | |||||||
\(20\) | −1.96048 | + | 0.395644i | −0.438376 | + | 0.0884687i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.68693 | − | 3.28335i | 0.572856 | − | 0.700013i | ||||
\(23\) | 2.64575 | + | 4.58258i | 0.551677 | + | 0.955533i | 0.998154 | + | 0.0607377i | \(0.0193453\pi\) |
−0.446476 | + | 0.894795i | \(0.647321\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.00000 | + | 3.46410i | −0.400000 | + | 0.692820i | ||||
\(26\) | −2.64575 | − | 7.00000i | −0.518875 | − | 1.37281i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.50000 | − | 1.32288i | 0.283473 | − | 0.250000i | ||||
\(29\) | −5.19615 | − | 3.00000i | −0.964901 | − | 0.557086i | −0.0672232 | − | 0.997738i | \(-0.521414\pi\) |
−0.897678 | + | 0.440652i | \(0.854747\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.50000 | + | 6.06218i | 0.628619 | + | 1.08880i | 0.987829 | + | 0.155543i | \(0.0497126\pi\) |
−0.359211 | + | 0.933257i | \(0.616954\pi\) | |||||||
\(32\) | −4.10170 | + | 3.89564i | −0.725085 | + | 0.688659i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.20871 | − | 7.38505i | 0.207292 | − | 1.26653i | ||||
\(35\) | 1.00000i | 0.169031i | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 5.29150i | − | 0.869918i | −0.900450 | − | 0.434959i | \(-0.856763\pi\) | ||
0.900450 | − | 0.434959i | \(-0.143237\pi\) | |||||||
\(38\) | −7.38505 | − | 1.20871i | −1.19801 | − | 0.196079i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.104356 | − | 2.82650i | −0.0165001 | − | 0.446909i | ||||
\(41\) | −2.64575 | − | 4.58258i | −0.413197 | − | 0.715678i | 0.582040 | − | 0.813160i | \(-0.302255\pi\) |
−0.995237 | + | 0.0974818i | \(0.968921\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −9.16515 | − | 5.29150i | −1.39767 | − | 0.806947i | −0.403524 | − | 0.914969i | \(-0.632215\pi\) |
−0.994148 | + | 0.108022i | \(0.965548\pi\) | |||||||
\(44\) | 3.96863 | + | 4.50000i | 0.598293 | + | 0.678401i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −7.00000 | + | 2.64575i | −1.03209 | + | 0.390095i | ||||
\(47\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.00000 | + | 5.19615i | 0.428571 | + | 0.742307i | ||||
\(50\) | −4.37780 | − | 3.58258i | −0.619115 | − | 0.506653i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 10.3739 | − | 2.09355i | 1.43860 | − | 0.290323i | ||||
\(53\) | − | 9.00000i | − | 1.23625i | −0.786082 | − | 0.618123i | \(-0.787894\pi\) | ||
0.786082 | − | 0.618123i | \(-0.212106\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.00000 | −0.404520 | ||||||||
\(56\) | 1.50363 | + | 2.39564i | 0.200930 | + | 0.320131i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 5.37386 | − | 6.56670i | 0.705623 | − | 0.862250i | ||||
\(59\) | −3.46410 | + | 2.00000i | −0.450988 | + | 0.260378i | −0.708247 | − | 0.705965i | \(-0.750514\pi\) |
0.257260 | + | 0.966342i | \(0.417180\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(62\) | −9.26013 | + | 3.50000i | −1.17604 | + | 0.444500i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −4.50000 | − | 6.61438i | −0.562500 | − | 0.826797i | ||||
\(65\) | −2.64575 | + | 4.58258i | −0.328165 | + | 0.568399i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(68\) | 10.0308 | + | 3.37386i | 1.21641 | + | 0.409141i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.39564 | − | 0.228425i | −0.166811 | − | 0.0273020i | ||||
\(71\) | 15.8745 | 1.88396 | 0.941979 | − | 0.335673i | \(-0.108964\pi\) | ||||
0.941979 | + | 0.335673i | \(0.108964\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.00000 | 0.351123 | 0.175562 | − | 0.984468i | \(-0.443826\pi\) | ||||
0.175562 | + | 0.984468i | \(0.443826\pi\) | |||||||
\(74\) | 7.38505 | + | 1.20871i | 0.858495 | + | 0.140510i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.37386 | − | 10.0308i | 0.387009 | − | 1.15061i | ||||
\(77\) | 2.59808 | − | 1.50000i | 0.296078 | − | 0.170941i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.00000 | + | 3.46410i | −0.225018 | + | 0.389742i | −0.956325 | − | 0.292306i | \(-0.905577\pi\) |
0.731307 | + | 0.682048i | \(0.238911\pi\) | |||||||
\(80\) | 3.96863 | + | 0.500000i | 0.443706 | + | 0.0559017i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 7.00000 | − | 2.64575i | 0.773021 | − | 0.292174i | ||||
\(83\) | 6.06218 | + | 3.50000i | 0.665410 | + | 0.384175i | 0.794335 | − | 0.607479i | \(-0.207819\pi\) |
−0.128925 | + | 0.991654i | \(0.541153\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.58258 | + | 2.64575i | −0.497050 | + | 0.286972i | ||||
\(86\) | 9.47860 | − | 11.5826i | 1.02210 | − | 1.24898i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −7.18693 | + | 4.51088i | −0.766130 | + | 0.480861i | ||||
\(89\) | −10.5830 | −1.12180 | −0.560898 | − | 0.827885i | \(-0.689544\pi\) | ||||
−0.560898 | + | 0.827885i | \(0.689544\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | − | 5.29150i | − | 0.554700i | ||||||
\(92\) | −2.09355 | − | 10.3739i | −0.218268 | − | 1.08155i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.64575 | + | 4.58258i | 0.271448 | + | 0.470162i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.50000 | + | 6.06218i | −0.355371 | + | 0.615521i | −0.987181 | − | 0.159602i | \(-0.948979\pi\) |
0.631810 | + | 0.775123i | \(0.282312\pi\) | |||||||
\(98\) | −7.93725 | + | 3.00000i | −0.801784 | + | 0.303046i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 6.00000 | − | 5.29150i | 0.600000 | − | 0.529150i | ||||
\(101\) | 14.7224 | + | 8.50000i | 1.46494 | + | 0.845782i | 0.999233 | − | 0.0391591i | \(-0.0124679\pi\) |
0.465704 | + | 0.884941i | \(0.345801\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(104\) | 0.552200 | + | 14.9564i | 0.0541477 | + | 1.46660i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 12.5608 | + | 2.05583i | 1.22001 | + | 0.199679i | ||||
\(107\) | 3.00000i | 0.290021i | 0.989430 | + | 0.145010i | \(0.0463216\pi\) | ||||
−0.989430 | + | 0.145010i | \(0.953678\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.29150i | 0.506834i | 0.967357 | + | 0.253417i | \(0.0815545\pi\) | ||||
−0.967357 | + | 0.253417i | \(0.918446\pi\) | |||||||
\(110\) | 0.685275 | − | 4.18693i | 0.0653384 | − | 0.399208i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −3.68693 | + | 1.55130i | −0.348382 | + | 0.146584i | ||||
\(113\) | −7.93725 | − | 13.7477i | −0.746674 | − | 1.29328i | −0.949409 | − | 0.314044i | \(-0.898316\pi\) |
0.202735 | − | 0.979234i | \(-0.435017\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.58258 | + | 2.64575i | 0.427327 | + | 0.246718i | ||||
\(116\) | 7.93725 | + | 9.00000i | 0.736956 | + | 0.835629i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.00000 | − | 5.29150i | −0.184115 | − | 0.487122i | ||||
\(119\) | 2.64575 | − | 4.58258i | 0.242536 | − | 0.420084i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.00000 | − | 1.73205i | −0.0909091 | − | 0.157459i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.76951 | − | 13.7233i | −0.248709 | − | 1.23239i | ||||
\(125\) | 9.00000i | 0.804984i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 13.0000 | 1.15356 | 0.576782 | − | 0.816898i | \(-0.304308\pi\) | ||||
0.576782 | + | 0.816898i | \(0.304308\pi\) | |||||||
\(128\) | 10.2592 | − | 4.76951i | 0.906796 | − | 0.421569i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −5.79129 | − | 4.73930i | −0.507930 | − | 0.415664i | ||||
\(131\) | −6.06218 | + | 3.50000i | −0.529655 | + | 0.305796i | −0.740876 | − | 0.671642i | \(-0.765589\pi\) |
0.211221 | + | 0.977438i | \(0.432256\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.58258 | − | 2.64575i | −0.397360 | − | 0.229416i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −7.00000 | + | 13.2288i | −0.600245 | + | 1.13436i | ||||
\(137\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −9.16515 | + | 5.29150i | −0.777378 | + | 0.448819i | −0.835500 | − | 0.549490i | \(-0.814822\pi\) |
0.0581222 | + | 0.998309i | \(0.481489\pi\) | |||||||
\(140\) | 0.637600 | − | 1.89564i | 0.0538871 | − | 0.160211i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.62614 | + | 22.1552i | −0.304299 | + | 1.85922i | ||||
\(143\) | 15.8745 | 1.32749 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.00000 | −0.498273 | ||||||||
\(146\) | −0.685275 | + | 4.18693i | −0.0567138 | + | 0.346513i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.37386 | + | 10.0308i | −0.277330 | + | 0.824527i | ||||
\(149\) | −2.59808 | + | 1.50000i | −0.212843 | + | 0.122885i | −0.602632 | − | 0.798019i | \(-0.705881\pi\) |
0.389789 | + | 0.920904i | \(0.372548\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.50000 | + | 2.59808i | −0.122068 | + | 0.211428i | −0.920583 | − | 0.390547i | \(-0.872286\pi\) |
0.798515 | + | 0.601975i | \(0.205619\pi\) | |||||||
\(152\) | 13.2288 | + | 7.00000i | 1.07299 | + | 0.567775i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.50000 | + | 3.96863i | 0.120873 | + | 0.319801i | ||||
\(155\) | 6.06218 | + | 3.50000i | 0.486926 | + | 0.281127i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.16515 | − | 5.29150i | 0.731459 | − | 0.422308i | −0.0874969 | − | 0.996165i | \(-0.527887\pi\) |
0.818956 | + | 0.573857i | \(0.194553\pi\) | |||||||
\(158\) | −4.37780 | − | 3.58258i | −0.348279 | − | 0.285014i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.60436 | + | 5.42458i | −0.126835 | + | 0.428851i | ||||
\(161\) | −5.29150 | −0.417029 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 5.29150i | − | 0.414462i | −0.978292 | − | 0.207231i | \(-0.933555\pi\) | ||
0.978292 | − | 0.207231i | \(-0.0664452\pi\) | |||||||
\(164\) | 2.09355 | + | 10.3739i | 0.163479 | + | 0.810063i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −6.26951 | + | 7.66115i | −0.486608 | + | 0.594621i | ||||
\(167\) | 5.29150 | + | 9.16515i | 0.409469 | + | 0.709221i | 0.994830 | − | 0.101552i | \(-0.0323807\pi\) |
−0.585361 | + | 0.810772i | \(0.699047\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.50000 | − | 12.9904i | 0.576923 | − | 0.999260i | ||||
\(170\) | −2.64575 | − | 7.00000i | −0.202920 | − | 0.536875i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 14.0000 | + | 15.8745i | 1.06749 | + | 1.21042i | ||||
\(173\) | −12.9904 | − | 7.50000i | −0.987640 | − | 0.570214i | −0.0830722 | − | 0.996544i | \(-0.526473\pi\) |
−0.904568 | + | 0.426329i | \(0.859807\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.00000 | − | 3.46410i | −0.151186 | − | 0.261861i | ||||
\(176\) | −4.65390 | − | 11.0608i | −0.350801 | − | 0.833739i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 2.41742 | − | 14.7701i | 0.181194 | − | 1.10707i | ||||
\(179\) | 23.0000i | 1.71910i | 0.511051 | + | 0.859550i | \(0.329256\pi\) | ||||
−0.511051 | + | 0.859550i | \(0.670744\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 21.1660i | 1.57326i | 0.617426 | + | 0.786629i | \(0.288175\pi\) | ||||
−0.617426 | + | 0.786629i | \(0.711825\pi\) | |||||||
\(182\) | 7.38505 | + | 1.20871i | 0.547417 | + | 0.0895957i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 14.9564 | − | 0.552200i | 1.10260 | − | 0.0407088i | ||||
\(185\) | −2.64575 | − | 4.58258i | −0.194520 | − | 0.336918i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 13.7477 | + | 7.93725i | 1.00533 | + | 0.580429i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −7.00000 | + | 2.64575i | −0.507833 | + | 0.191943i | ||||
\(191\) | 2.64575 | − | 4.58258i | 0.191440 | − | 0.331584i | −0.754288 | − | 0.656544i | \(-0.772018\pi\) |
0.945728 | + | 0.324960i | \(0.105351\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.50000 | + | 2.59808i | 0.107972 | + | 0.187014i | 0.914949 | − | 0.403570i | \(-0.132231\pi\) |
−0.806976 | + | 0.590584i | \(0.798898\pi\) | |||||||
\(194\) | −7.66115 | − | 6.26951i | −0.550039 | − | 0.450124i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.37386 | − | 11.7629i | −0.169562 | − | 0.840204i | ||||
\(197\) | − | 13.0000i | − | 0.926212i | −0.886303 | − | 0.463106i | \(-0.846735\pi\) | ||
0.886303 | − | 0.463106i | \(-0.153265\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −17.0000 | −1.20510 | −0.602549 | − | 0.798082i | \(-0.705848\pi\) | ||||
−0.602549 | + | 0.798082i | \(0.705848\pi\) | |||||||
\(200\) | 6.01450 | + | 9.58258i | 0.425290 | + | 0.677590i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −15.2259 | + | 18.6057i | −1.07129 | + | 1.30909i | ||||
\(203\) | 5.19615 | − | 3.00000i | 0.364698 | − | 0.210559i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.58258 | − | 2.64575i | −0.320061 | − | 0.184787i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −21.0000 | − | 2.64575i | −1.45609 | − | 0.183450i | ||||
\(209\) | 7.93725 | − | 13.7477i | 0.549031 | − | 0.950950i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.58258 | + | 2.64575i | −0.315478 | + | 0.182141i | −0.649375 | − | 0.760468i | \(-0.724969\pi\) |
0.333897 | + | 0.942609i | \(0.391636\pi\) | |||||||
\(212\) | −5.73840 | + | 17.0608i | −0.394115 | + | 1.17174i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −4.18693 | − | 0.685275i | −0.286213 | − | 0.0468445i | ||||
\(215\) | −10.5830 | −0.721755 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −7.00000 | −0.475191 | ||||||||
\(218\) | −7.38505 | − | 1.20871i | −0.500179 | − | 0.0818643i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 5.68693 | + | 1.91280i | 0.383413 | + | 0.128961i | ||||
\(221\) | 24.2487 | − | 14.0000i | 1.63114 | − | 0.941742i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.00000 | − | 13.8564i | 0.535720 | − | 0.927894i | −0.463409 | − | 0.886145i | \(-0.653374\pi\) |
0.999128 | − | 0.0417488i | \(-0.0132929\pi\) | |||||||
\(224\) | −1.32288 | − | 5.50000i | −0.0883883 | − | 0.367484i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 21.0000 | − | 7.93725i | 1.39690 | − | 0.527978i | ||||
\(227\) | −3.46410 | − | 2.00000i | −0.229920 | − | 0.132745i | 0.380615 | − | 0.924734i | \(-0.375712\pi\) |
−0.610535 | + | 0.791989i | \(0.709046\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 18.3303 | − | 10.5830i | 1.21130 | − | 0.699345i | 0.248258 | − | 0.968694i | \(-0.420142\pi\) |
0.963043 | + | 0.269349i | \(0.0868086\pi\) | |||||||
\(230\) | −4.73930 | + | 5.79129i | −0.312500 | + | 0.381866i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −14.3739 | + | 9.02175i | −0.943690 | + | 0.592307i | ||||
\(233\) | −10.5830 | −0.693316 | −0.346658 | − | 0.937992i | \(-0.612684\pi\) | ||||
−0.346658 | + | 0.937992i | \(0.612684\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 7.84190 | − | 1.58258i | 0.510464 | − | 0.103017i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 5.79129 | + | 4.73930i | 0.375393 | + | 0.307203i | ||||
\(239\) | 7.93725 | + | 13.7477i | 0.513418 | + | 0.889267i | 0.999879 | + | 0.0155640i | \(0.00495438\pi\) |
−0.486461 | + | 0.873703i | \(0.661712\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.00000 | − | 8.66025i | 0.322078 | − | 0.557856i | −0.658838 | − | 0.752285i | \(-0.728952\pi\) |
0.980917 | + | 0.194429i | \(0.0622852\pi\) | |||||||
\(242\) | 2.64575 | − | 1.00000i | 0.170075 | − | 0.0642824i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 5.19615 | + | 3.00000i | 0.331970 | + | 0.191663i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −14.0000 | − | 24.2487i | −0.890799 | − | 1.54291i | ||||
\(248\) | 19.7855 | − | 0.730493i | 1.25638 | − | 0.0463863i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −12.5608 | − | 2.05583i | −0.794414 | − | 0.130022i | ||||
\(251\) | − | 12.0000i | − | 0.757433i | −0.925513 | − | 0.378717i | \(-0.876365\pi\) | ||
0.925513 | − | 0.378717i | \(-0.123635\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 15.8745i | − | 0.998022i | ||||||
\(254\) | −2.96953 | + | 18.1434i | −0.186325 | + | 1.13842i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 4.31307 | + | 15.4077i | 0.269567 | + | 0.962982i | ||||
\(257\) | 7.93725 | + | 13.7477i | 0.495112 | + | 0.857560i | 0.999984 | − | 0.00563467i | \(-0.00179358\pi\) |
−0.504872 | + | 0.863194i | \(0.668460\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 4.58258 | + | 2.64575i | 0.284747 | + | 0.164399i | ||||
\(260\) | 7.93725 | − | 7.00000i | 0.492248 | − | 0.434122i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.50000 | − | 9.26013i | −0.216231 | − | 0.572093i | ||||
\(263\) | −2.64575 | + | 4.58258i | −0.163144 | + | 0.282574i | −0.935995 | − | 0.352014i | \(-0.885497\pi\) |
0.772851 | + | 0.634588i | \(0.218830\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.50000 | − | 7.79423i | −0.276433 | − | 0.478796i | ||||
\(266\) | 4.73930 | − | 5.79129i | 0.290585 | − | 0.355087i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 18.0000i | 1.09748i | 0.835993 | + | 0.548740i | \(0.184892\pi\) | ||||
−0.835993 | + | 0.548740i | \(0.815108\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 15.0000 | 0.911185 | 0.455593 | − | 0.890188i | \(-0.349427\pi\) | ||||
0.455593 | + | 0.890188i | \(0.349427\pi\) | |||||||
\(272\) | −16.8637 | − | 12.7913i | −1.02251 | − | 0.775586i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 10.3923 | − | 6.00000i | 0.626680 | − | 0.361814i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 9.16515 | + | 5.29150i | 0.550681 | + | 0.317936i | 0.749396 | − | 0.662122i | \(-0.230344\pi\) |
−0.198716 | + | 0.980057i | \(0.563677\pi\) | |||||||
\(278\) | −5.29150 | − | 14.0000i | −0.317363 | − | 0.839664i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.50000 | + | 1.32288i | 0.149404 | + | 0.0790569i | ||||
\(281\) | −7.93725 | + | 13.7477i | −0.473497 | + | 0.820121i | −0.999540 | − | 0.0303374i | \(-0.990342\pi\) |
0.526043 | + | 0.850458i | \(0.323675\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 22.9129 | − | 13.2288i | 1.36203 | − | 0.786368i | 0.372135 | − | 0.928178i | \(-0.378626\pi\) |
0.989894 | + | 0.141810i | \(0.0452924\pi\) | |||||||
\(284\) | −30.0924 | − | 10.1216i | −1.78566 | − | 0.600606i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.62614 | + | 22.1552i | −0.214418 | + | 1.31006i | ||||
\(287\) | 5.29150 | 0.312348 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 11.0000 | 0.647059 | ||||||||
\(290\) | 1.37055 | − | 8.37386i | 0.0804815 | − | 0.491730i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.68693 | − | 1.91280i | −0.332803 | − | 0.111938i | ||||
\(293\) | −25.9808 | + | 15.0000i | −1.51781 | + | 0.876309i | −0.518032 | + | 0.855361i | \(0.673335\pi\) |
−0.999781 | + | 0.0209480i | \(0.993332\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.00000 | + | 3.46410i | −0.116445 | + | 0.201688i | ||||
\(296\) | −13.2288 | − | 7.00000i | −0.768906 | − | 0.406867i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.50000 | − | 3.96863i | −0.0868927 | − | 0.229896i | ||||
\(299\) | −24.2487 | − | 14.0000i | −1.40234 | − | 0.809641i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 9.16515 | − | 5.29150i | 0.528271 | − | 0.304997i | ||||
\(302\) | −3.28335 | − | 2.68693i | −0.188936 | − | 0.154616i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −12.7913 | + | 16.8637i | −0.733631 | + | 0.967197i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 15.8745i | − | 0.906006i | −0.891509 | − | 0.453003i | \(-0.850353\pi\) | ||
0.891509 | − | 0.453003i | \(-0.149647\pi\) | |||||||
\(308\) | −5.88143 | + | 1.18693i | −0.335125 | + | 0.0676317i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.26951 | + | 7.66115i | −0.356084 | + | 0.435124i | ||||
\(311\) | −13.2288 | − | 22.9129i | −0.750134 | − | 1.29927i | −0.947757 | − | 0.318992i | \(-0.896656\pi\) |
0.197623 | − | 0.980278i | \(-0.436678\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.500000 | − | 0.866025i | 0.0282617 | − | 0.0489506i | −0.851549 | − | 0.524276i | \(-0.824336\pi\) |
0.879810 | + | 0.475325i | \(0.157669\pi\) | |||||||
\(314\) | 5.29150 | + | 14.0000i | 0.298617 | + | 0.790066i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 6.00000 | − | 5.29150i | 0.337526 | − | 0.297670i | ||||
\(317\) | −11.2583 | − | 6.50000i | −0.632331 | − | 0.365076i | 0.149323 | − | 0.988788i | \(-0.452290\pi\) |
−0.781654 | + | 0.623712i | \(0.785624\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9.00000 | + | 15.5885i | 0.503903 | + | 0.872786i | ||||
\(320\) | −7.20430 | − | 3.47822i | −0.402733 | − | 0.194438i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.20871 | − | 7.38505i | 0.0673589 | − | 0.411553i | ||||
\(323\) | − | 28.0000i | − | 1.55796i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | − | 21.1660i | − | 1.17408i | ||||||
\(326\) | 7.38505 | + | 1.20871i | 0.409020 | + | 0.0669444i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −14.9564 | + | 0.552200i | −0.825831 | + | 0.0304902i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 18.3303 | + | 10.5830i | 1.00752 | + | 0.581695i | 0.910466 | − | 0.413584i | \(-0.135723\pi\) |
0.0970586 | + | 0.995279i | \(0.469057\pi\) | |||||||
\(332\) | −9.26013 | − | 10.5000i | −0.508216 | − | 0.576262i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −14.0000 | + | 5.29150i | −0.766046 | + | 0.289538i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −17.0000 | − | 29.4449i | −0.926049 | − | 1.60396i | −0.789865 | − | 0.613280i | \(-0.789850\pi\) |
−0.136184 | − | 0.990684i | \(-0.543484\pi\) | |||||||
\(338\) | 16.4168 | + | 13.4347i | 0.892954 | + | 0.730749i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 10.3739 | − | 2.09355i | 0.562602 | − | 0.113539i | ||||
\(341\) | − | 21.0000i | − | 1.13721i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −13.0000 | −0.701934 | ||||||||
\(344\) | −25.3531 | + | 15.9129i | −1.36695 | + | 0.857965i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 13.4347 | − | 16.4168i | 0.722252 | − | 0.882570i | ||||
\(347\) | −19.9186 | + | 11.5000i | −1.06929 | + | 0.617352i | −0.927986 | − | 0.372615i | \(-0.878461\pi\) |
−0.141299 | + | 0.989967i | \(0.545128\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.58258 | + | 2.64575i | 0.245300 | + | 0.141624i | 0.617610 | − | 0.786484i | \(-0.288101\pi\) |
−0.372310 | + | 0.928108i | \(0.621434\pi\) | |||||||
\(350\) | 5.29150 | − | 2.00000i | 0.282843 | − | 0.106904i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 16.5000 | − | 3.96863i | 0.879453 | − | 0.211529i | ||||
\(353\) | −7.93725 | + | 13.7477i | −0.422457 | + | 0.731718i | −0.996179 | − | 0.0873325i | \(-0.972166\pi\) |
0.573722 | + | 0.819050i | \(0.305499\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 13.7477 | − | 7.93725i | 0.729654 | − | 0.421266i | ||||
\(356\) | 20.0616 | + | 6.74773i | 1.06326 | + | 0.357629i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −32.0998 | − | 5.25378i | −1.69653 | − | 0.277671i | ||||
\(359\) | −21.1660 | −1.11710 | −0.558550 | − | 0.829471i | \(-0.688642\pi\) | ||||
−0.558550 | + | 0.829471i | \(0.688642\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.00000 | −0.473684 | ||||||||
\(362\) | −29.5402 | − | 4.83485i | −1.55260 | − | 0.254114i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.37386 | + | 10.0308i | −0.176838 | + | 0.525757i | ||||
\(365\) | 2.59808 | − | 1.50000i | 0.135990 | − | 0.0785136i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1.50000 | − | 2.59808i | 0.0782994 | − | 0.135618i | −0.824217 | − | 0.566274i | \(-0.808384\pi\) |
0.902516 | + | 0.430656i | \(0.141718\pi\) | |||||||
\(368\) | −2.64575 | + | 21.0000i | −0.137919 | + | 1.09470i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 7.00000 | − | 2.64575i | 0.363913 | − | 0.137546i | ||||
\(371\) | 7.79423 | + | 4.50000i | 0.404656 | + | 0.233628i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −22.9129 | + | 13.2288i | −1.18638 | + | 0.684959i | −0.957483 | − | 0.288491i | \(-0.906847\pi\) |
−0.228901 | + | 0.973450i | \(0.573513\pi\) | |||||||
\(374\) | −14.2179 | + | 17.3739i | −0.735190 | + | 0.898381i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 31.7490 | 1.63516 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 21.1660i | 1.08722i | 0.839336 | + | 0.543612i | \(0.182944\pi\) | ||||
−0.839336 | + | 0.543612i | \(0.817056\pi\) | |||||||
\(380\) | −2.09355 | − | 10.3739i | −0.107397 | − | 0.532168i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 5.79129 | + | 4.73930i | 0.296308 | + | 0.242484i | ||||
\(383\) | −7.93725 | − | 13.7477i | −0.405575 | − | 0.702476i | 0.588813 | − | 0.808269i | \(-0.299595\pi\) |
−0.994388 | + | 0.105793i | \(0.966262\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.50000 | − | 2.59808i | 0.0764471 | − | 0.132410i | ||||
\(386\) | −3.96863 | + | 1.50000i | −0.201998 | + | 0.0763480i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 10.5000 | − | 9.26013i | 0.533057 | − | 0.470112i | ||||
\(389\) | −4.33013 | − | 2.50000i | −0.219546 | − | 0.126755i | 0.386194 | − | 0.922418i | \(-0.373790\pi\) |
−0.605740 | + | 0.795663i | \(0.707123\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −14.0000 | − | 24.2487i | −0.708010 | − | 1.22631i | ||||
\(392\) | 16.9590 | − | 0.626136i | 0.856559 | − | 0.0316247i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 18.1434 | + | 2.96953i | 0.914050 | + | 0.149603i | ||||
\(395\) | 4.00000i | 0.201262i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.29150i | 0.265573i | 0.991145 | + | 0.132786i | \(0.0423924\pi\) | ||||
−0.991145 | + | 0.132786i | \(0.957608\pi\) | |||||||
\(398\) | 3.88323 | − | 23.7259i | 0.194649 | − | 1.18927i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −14.7477 | + | 6.20520i | −0.737386 | + | 0.310260i | ||||
\(401\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −32.0780 | − | 18.5203i | −1.59792 | − | 0.922560i | ||||
\(404\) | −22.4889 | − | 25.5000i | −1.11886 | − | 1.26867i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.00000 | + | 7.93725i | 0.148888 | + | 0.393919i | ||||
\(407\) | −7.93725 | + | 13.7477i | −0.393435 | + | 0.681450i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 5.50000 | + | 9.52628i | 0.271957 | + | 0.471044i | 0.969363 | − | 0.245633i | \(-0.0789957\pi\) |
−0.697406 | + | 0.716677i | \(0.745662\pi\) | |||||||
\(410\) | 4.73930 | − | 5.79129i | 0.234057 | − | 0.286011i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | − | 4.00000i | − | 0.196827i | ||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.00000 | 0.343616 | ||||||||
\(416\) | 8.48945 | − | 28.7042i | 0.416230 | − | 1.40734i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 17.3739 | + | 14.2179i | 0.849783 | + | 0.695421i | ||||
\(419\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 9.16515 | + | 5.29150i | 0.446682 | + | 0.257892i | 0.706428 | − | 0.707785i | \(-0.250305\pi\) |
−0.259746 | + | 0.965677i | \(0.583639\pi\) | |||||||
\(422\) | −2.64575 | − | 7.00000i | −0.128793 | − | 0.340755i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −22.5000 | − | 11.9059i | −1.09270 | − | 0.578201i | ||||
\(425\) | 10.5830 | − | 18.3303i | 0.513351 | − | 0.889150i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 1.91280 | − | 5.68693i | 0.0924587 | − | 0.274888i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2.41742 | − | 14.7701i | 0.116579 | − | 0.712278i | ||||
\(431\) | −31.7490 | −1.52930 | −0.764648 | − | 0.644448i | \(-0.777087\pi\) | ||||
−0.764648 | + | 0.644448i | \(0.777087\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.00000 | 0.240285 | 0.120142 | − | 0.992757i | \(-0.461665\pi\) | ||||
0.120142 | + | 0.992757i | \(0.461665\pi\) | |||||||
\(434\) | 1.59898 | − | 9.76951i | 0.0767533 | − | 0.468951i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 3.37386 | − | 10.0308i | 0.161579 | − | 0.480388i | ||||
\(437\) | −24.2487 | + | 14.0000i | −1.15997 | + | 0.669711i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 10.5000 | − | 18.1865i | 0.501138 | − | 0.867996i | −0.498861 | − | 0.866682i | \(-0.666248\pi\) |
0.999999 | − | 0.00131415i | \(-0.000418308\pi\) | |||||||
\(440\) | −3.96863 | + | 7.50000i | −0.189197 | + | 0.357548i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 14.0000 | + | 37.0405i | 0.665912 | + | 1.76184i | ||||
\(443\) | 20.7846 | + | 12.0000i | 0.987507 | + | 0.570137i | 0.904528 | − | 0.426414i | \(-0.140223\pi\) |
0.0829786 | + | 0.996551i | \(0.473557\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −9.16515 | + | 5.29150i | −0.434470 | + | 0.250841i | ||||
\(446\) | 17.5112 | + | 14.3303i | 0.829180 | + | 0.678560i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 7.97822 | − | 0.589925i | 0.376935 | − | 0.0278713i | ||||
\(449\) | 15.8745 | 0.749164 | 0.374582 | − | 0.927194i | \(-0.377786\pi\) | ||||
0.374582 | + | 0.927194i | \(0.377786\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 15.8745i | 0.747501i | ||||||||
\(452\) | 6.28065 | + | 31.1216i | 0.295417 | + | 1.46384i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 3.58258 | − | 4.37780i | 0.168139 | − | 0.205460i | ||||
\(455\) | −2.64575 | − | 4.58258i | −0.124035 | − | 0.214834i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −8.50000 | + | 14.7224i | −0.397613 | + | 0.688686i | −0.993431 | − | 0.114433i | \(-0.963495\pi\) |
0.595818 | + | 0.803120i | \(0.296828\pi\) | |||||||
\(458\) | 10.5830 | + | 28.0000i | 0.494511 | + | 1.30835i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −7.00000 | − | 7.93725i | −0.326377 | − | 0.370076i | ||||
\(461\) | 7.79423 | + | 4.50000i | 0.363013 | + | 0.209586i | 0.670402 | − | 0.741998i | \(-0.266122\pi\) |
−0.307388 | + | 0.951584i | \(0.599455\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 20.5000 | + | 35.5070i | 0.952716 | + | 1.65015i | 0.739511 | + | 0.673145i | \(0.235057\pi\) |
0.213205 | + | 0.977007i | \(0.431610\pi\) | |||||||
\(464\) | −9.30780 | − | 22.1216i | −0.432104 | − | 1.02697i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.41742 | − | 14.7701i | 0.111985 | − | 0.684212i | ||||
\(467\) | 1.00000i | 0.0462745i | 0.999732 | + | 0.0231372i | \(0.00736547\pi\) | ||||
−0.999732 | + | 0.0231372i | \(0.992635\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.417424 | + | 11.3060i | 0.0192135 | + | 0.520401i | ||||
\(473\) | 15.8745 | + | 27.4955i | 0.729911 | + | 1.26424i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −18.3303 | − | 10.5830i | −0.841052 | − | 0.485582i | ||||
\(476\) | −7.93725 | + | 7.00000i | −0.363803 | + | 0.320844i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −21.0000 | + | 7.93725i | −0.960518 | + | 0.363042i | ||||
\(479\) | −10.5830 | + | 18.3303i | −0.483550 | + | 0.837533i | −0.999822 | − | 0.0188920i | \(-0.993986\pi\) |
0.516272 | + | 0.856425i | \(0.327319\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 14.0000 | + | 24.2487i | 0.638345 | + | 1.10565i | ||||
\(482\) | 10.9445 | + | 8.95644i | 0.498509 | + | 0.407955i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.791288 | + | 3.92095i | 0.0359676 | + | 0.178225i | ||||
\(485\) | 7.00000i | 0.317854i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −40.0000 | −1.81257 | −0.906287 | − | 0.422664i | \(-0.861095\pi\) | ||||
−0.906287 | + | 0.422664i | \(0.861095\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −5.37386 | + | 6.56670i | −0.242766 | + | 0.296653i | ||||
\(491\) | 25.1147 | − | 14.5000i | 1.13341 | − | 0.654376i | 0.188621 | − | 0.982050i | \(-0.439598\pi\) |
0.944791 | + | 0.327674i | \(0.106265\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 27.4955 | + | 15.8745i | 1.23833 | + | 0.714952i | ||||
\(494\) | 37.0405 | − | 14.0000i | 1.66653 | − | 0.629890i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3.50000 | + | 27.7804i | −0.157155 | + | 1.24738i | ||||
\(497\) | −7.93725 | + | 13.7477i | −0.356034 | + | 0.616670i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(500\) | 5.73840 | − | 17.0608i | 0.256629 | − | 0.762982i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 16.7477 | + | 2.74110i | 0.747488 | + | 0.122341i | ||||
\(503\) | 15.8745 | 0.707809 | 0.353905 | − | 0.935282i | \(-0.384854\pi\) | ||||
0.353905 | + | 0.935282i | \(0.384854\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 17.0000 | 0.756490 | ||||||||
\(506\) | 22.1552 | + | 3.62614i | 0.984917 | + | 0.161201i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −24.6434 | − | 8.28880i | −1.09337 | − | 0.367756i | ||||
\(509\) | 18.1865 | − | 10.5000i | 0.806104 | − | 0.465404i | −0.0394971 | − | 0.999220i | \(-0.512576\pi\) |
0.845601 | + | 0.533815i | \(0.179242\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.50000 | + | 2.59808i | −0.0663561 | + | 0.114932i | ||||
\(512\) | −22.4889 | + | 2.50000i | −0.993878 | + | 0.110485i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −21.0000 | + | 7.93725i | −0.926270 | + | 0.350097i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −4.73930 | + | 5.79129i | −0.208233 | + | 0.254455i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 7.95644 | + | 12.6766i | 0.348913 | + | 0.555904i | ||||
\(521\) | 15.8745 | 0.695475 | 0.347737 | − | 0.937592i | \(-0.386950\pi\) | ||||
0.347737 | + | 0.937592i | \(0.386950\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 15.8745i | 0.694144i | 0.937839 | + | 0.347072i | \(0.112824\pi\) | ||||
−0.937839 | + | 0.347072i | \(0.887176\pi\) | |||||||
\(524\) | 13.7233 | − | 2.76951i | 0.599507 | − | 0.120986i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −5.79129 | − | 4.73930i | −0.252512 | − | 0.206643i | ||||
\(527\) | −18.5203 | − | 32.0780i | −0.806755 | − | 1.39734i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −2.50000 | + | 4.33013i | −0.108696 | + | 0.188266i | ||||
\(530\) | 11.9059 | − | 4.50000i | 0.517158 | − | 0.195468i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 7.00000 | + | 7.93725i | 0.303488 | + | 0.344124i | ||||
\(533\) | 24.2487 | + | 14.0000i | 1.05033 | + | 0.606407i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.50000 | + | 2.59808i | 0.0648507 | + | 0.112325i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −25.1216 | − | 4.11165i | −1.08307 | − | 0.177266i | ||||
\(539\) | − | 18.0000i | − | 0.775315i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.5830i | 0.454999i | 0.973778 | + | 0.227499i | \(0.0730550\pi\) | ||||
−0.973778 | + | 0.227499i | \(0.926945\pi\) | |||||||
\(542\) | −3.42638 | + | 20.9347i | −0.147175 | + | 0.899221i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 21.7042 | − | 20.6138i | 0.930558 | − | 0.883810i | ||||
\(545\) | 2.64575 | + | 4.58258i | 0.113332 | + | 0.196296i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.58258 | − | 2.64575i | −0.195937 | − | 0.113124i | 0.398822 | − | 0.917028i | \(-0.369419\pi\) |
−0.594759 | + | 0.803904i | \(0.702752\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 6.00000 | + | 15.8745i | 0.255841 | + | 0.676891i | ||||
\(551\) | 15.8745 | − | 27.4955i | 0.676277 | − | 1.17135i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.00000 | − | 3.46410i | −0.0850487 | − | 0.147309i | ||||
\(554\) | −9.47860 | + | 11.5826i | −0.402707 | + | 0.492096i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 20.7477 | − | 4.18710i | 0.879900 | − | 0.177573i | ||||
\(557\) | 39.0000i | 1.65248i | 0.563316 | + | 0.826242i | \(0.309525\pi\) | ||||
−0.563316 | + | 0.826242i | \(0.690475\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 56.0000 | 2.36855 | ||||||||
\(560\) | −2.41733 | + | 3.18693i | −0.102151 | + | 0.134672i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −17.3739 | − | 14.2179i | −0.732872 | − | 0.599746i | ||||
\(563\) | 2.59808 | − | 1.50000i | 0.109496 | − | 0.0632175i | −0.444252 | − | 0.895902i | \(-0.646530\pi\) |
0.553748 | + | 0.832684i | \(0.313197\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −13.7477 | − | 7.93725i | −0.578371 | − | 0.333923i | ||||
\(566\) | 13.2288 | + | 35.0000i | 0.556046 | + | 1.47116i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 21.0000 | − | 39.6863i | 0.881140 | − | 1.66520i | ||||
\(569\) | 15.8745 | − | 27.4955i | 0.665494 | − | 1.15267i | −0.313657 | − | 0.949536i | \(-0.601554\pi\) |
0.979151 | − | 0.203133i | \(-0.0651124\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −22.9129 | + | 13.2288i | −0.958874 | + | 0.553606i | −0.895826 | − | 0.444404i | \(-0.853415\pi\) |
−0.0630478 | + | 0.998011i | \(0.520082\pi\) | |||||||
\(572\) | −30.0924 | − | 10.1216i | −1.25823 | − | 0.423205i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1.20871 | + | 7.38505i | −0.0504507 | + | 0.308246i | ||||
\(575\) | −21.1660 | −0.882684 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −18.0000 | −0.749350 | −0.374675 | − | 0.927156i | \(-0.622246\pi\) | ||||
−0.374675 | + | 0.927156i | \(0.622246\pi\) | |||||||
\(578\) | −2.51268 | + | 15.3521i | −0.104514 | + | 0.638562i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 11.3739 | + | 3.82560i | 0.472274 | + | 0.158849i | ||||
\(581\) | −6.06218 | + | 3.50000i | −0.251502 | + | 0.145204i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −13.5000 | + | 23.3827i | −0.559113 | + | 0.968412i | ||||
\(584\) | 3.96863 | − | 7.50000i | 0.164223 | − | 0.310352i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −15.0000 | − | 39.6863i | −0.619644 | − | 1.63942i | ||||
\(587\) | −19.9186 | − | 11.5000i | −0.822128 | − | 0.474656i | 0.0290218 | − | 0.999579i | \(-0.490761\pi\) |
−0.851150 | + | 0.524923i | \(0.824094\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −32.0780 | + | 18.5203i | −1.32175 | + | 0.763114i | ||||
\(590\) | −4.37780 | − | 3.58258i | −0.180231 | − | 0.147492i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 12.7913 | − | 16.8637i | 0.525719 | − | 0.693092i | ||||
\(593\) | 31.7490 | 1.30378 | 0.651888 | − | 0.758315i | \(-0.273977\pi\) | ||||
0.651888 | + | 0.758315i | \(0.273977\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 5.29150i | − | 0.216930i | ||||||
\(596\) | 5.88143 | − | 1.18693i | 0.240913 | − | 0.0486186i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 25.0780 | − | 30.6446i | 1.02552 | − | 1.25315i | ||||
\(599\) | 10.5830 | + | 18.3303i | 0.432410 | + | 0.748956i | 0.997080 | − | 0.0763606i | \(-0.0243300\pi\) |
−0.564670 | + | 0.825317i | \(0.690997\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −2.50000 | + | 4.33013i | −0.101977 | + | 0.176630i | −0.912499 | − | 0.409079i | \(-0.865850\pi\) |
0.810522 | + | 0.585708i | \(0.199184\pi\) | |||||||
\(602\) | 5.29150 | + | 14.0000i | 0.215666 | + | 0.570597i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 4.50000 | − | 3.96863i | 0.183102 | − | 0.161481i | ||||
\(605\) | −1.73205 | − | 1.00000i | −0.0704179 | − | 0.0406558i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 4.00000 | + | 6.92820i | 0.162355 | + | 0.281207i | 0.935713 | − | 0.352763i | \(-0.114758\pi\) |
−0.773358 | + | 0.633970i | \(0.781424\pi\) | |||||||
\(608\) | −20.6138 | − | 21.7042i | −0.836000 | − | 0.880220i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − | 10.5830i | − | 0.427444i | −0.976895 | − | 0.213722i | \(-0.931441\pi\) | ||
0.976895 | − | 0.213722i | \(-0.0685586\pi\) | |||||||
\(614\) | 22.1552 | + | 3.62614i | 0.894110 | + | 0.146339i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.313068 | − | 8.47950i | −0.0126139 | − | 0.341649i | ||||
\(617\) | 2.64575 | + | 4.58258i | 0.106514 | + | 0.184488i | 0.914356 | − | 0.404912i | \(-0.132698\pi\) |
−0.807842 | + | 0.589399i | \(0.799364\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −13.7477 | − | 7.93725i | −0.552568 | − | 0.319025i | 0.197589 | − | 0.980285i | \(-0.436689\pi\) |
−0.750157 | + | 0.661260i | \(0.770022\pi\) | |||||||
\(620\) | −9.26013 | − | 10.5000i | −0.371896 | − | 0.421690i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 35.0000 | − | 13.2288i | 1.40337 | − | 0.530425i | ||||
\(623\) | 5.29150 | − | 9.16515i | 0.212000 | − | 0.367194i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.50000 | − | 9.52628i | −0.220000 | − | 0.381051i | ||||
\(626\) | 1.09445 | + | 0.895644i | 0.0437430 | + | 0.0357971i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −20.7477 | + | 4.18710i | −0.827924 | + | 0.167084i | ||||
\(629\) | 28.0000i | 1.11643i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −23.0000 | −0.915616 | −0.457808 | − | 0.889051i | \(-0.651365\pi\) | ||||
−0.457808 | + | 0.889051i | \(0.651365\pi\) | |||||||
\(632\) | 6.01450 | + | 9.58258i | 0.239244 | + | 0.381174i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 11.6434 | − | 14.2279i | 0.462417 | − | 0.565060i | ||||
\(635\) | 11.2583 | − | 6.50000i | 0.446773 | − | 0.257945i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −27.4955 | − | 15.8745i | −1.08941 | − | 0.628971i | ||||
\(638\) | −23.8118 | + | 9.00000i | −0.942717 | + | 0.356313i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 6.50000 | − | 9.26013i | 0.256935 | − | 0.366039i | ||||
\(641\) | 18.5203 | − | 32.0780i | 0.731506 | − | 1.26701i | −0.224733 | − | 0.974420i | \(-0.572151\pi\) |
0.956239 | − | 0.292586i | \(-0.0945157\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −18.3303 | + | 10.5830i | −0.722877 | + | 0.417353i | −0.815811 | − | 0.578319i | \(-0.803709\pi\) |
0.0929339 | + | 0.995672i | \(0.470375\pi\) | |||||||
\(644\) | 10.0308 | + | 3.37386i | 0.395269 | + | 0.132949i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 39.0780 | + | 6.39590i | 1.53750 | + | 0.251643i | ||||
\(647\) | −31.7490 | −1.24818 | −0.624091 | − | 0.781351i | \(-0.714531\pi\) | ||||
−0.624091 | + | 0.781351i | \(0.714531\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 12.0000 | 0.471041 | ||||||||
\(650\) | 29.5402 | + | 4.83485i | 1.15866 | + | 0.189638i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.37386 | + | 10.0308i | −0.132131 | + | 0.392837i | ||||
\(653\) | 2.59808 | − | 1.50000i | 0.101671 | − | 0.0586995i | −0.448303 | − | 0.893882i | \(-0.647971\pi\) |
0.549973 | + | 0.835182i | \(0.314638\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.50000 | + | 6.06218i | −0.136756 | + | 0.236869i | ||||
\(656\) | 2.64575 | − | 21.0000i | 0.103299 | − | 0.819912i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −12.9904 | − | 7.50000i | −0.506033 | − | 0.292159i | 0.225168 | − | 0.974320i | \(-0.427707\pi\) |
−0.731202 | + | 0.682161i | \(0.761040\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22.9129 | − | 13.2288i | 0.891208 | − | 0.514539i | 0.0168704 | − | 0.999858i | \(-0.494630\pi\) |
0.874337 | + | 0.485319i | \(0.161296\pi\) | |||||||
\(662\) | −18.9572 | + | 23.1652i | −0.736793 | + | 0.900339i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 16.7695 | − | 10.5254i | 0.650783 | − | 0.408464i | ||||
\(665\) | −5.29150 | −0.205196 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 31.7490i | − | 1.22933i | ||||||
\(668\) | −4.18710 | − | 20.7477i | −0.162004 | − | 0.802754i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.5000 | + | 25.1147i | −0.558934 | + | 0.968102i | 0.438652 | + | 0.898657i | \(0.355456\pi\) |
−0.997586 | + | 0.0694449i | \(0.977877\pi\) | |||||||
\(674\) | 44.9778 | − | 17.0000i | 1.73248 | − | 0.654816i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −22.5000 | + | 19.8431i | −0.865385 | + | 0.763197i | ||||
\(677\) | −5.19615 | − | 3.00000i | −0.199704 | − | 0.115299i | 0.396813 | − | 0.917899i | \(-0.370116\pi\) |
−0.596518 | + | 0.802600i | \(0.703449\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −3.50000 | − | 6.06218i | −0.134318 | − | 0.232645i | ||||
\(680\) | 0.552200 | + | 14.9564i | 0.0211759 | + | 0.573553i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 29.3085 | + | 4.79693i | 1.12228 | + | 0.183684i | ||||
\(683\) | 44.0000i | 1.68361i | 0.539779 | + | 0.841807i | \(0.318508\pi\) | ||||
−0.539779 | + | 0.841807i | \(0.681492\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 2.96953 | − | 18.1434i | 0.113377 | − | 0.692717i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −16.4174 | − | 39.0188i | −0.625908 | − | 1.48758i | ||||
\(689\) | 23.8118 | + | 41.2432i | 0.907156 | + | 1.57124i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 36.6606 | + | 21.1660i | 1.39464 | + | 0.805193i | 0.993824 | − | 0.110968i | \(-0.0353950\pi\) |
0.400811 | + | 0.916161i | \(0.368728\pi\) | |||||||
\(692\) | 19.8431 | + | 22.5000i | 0.754323 | + | 0.855322i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −11.5000 | − | 30.4261i | −0.436534 | − | 1.15496i | ||||
\(695\) | −5.29150 | + | 9.16515i | −0.200718 | + | 0.347654i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 14.0000 | + | 24.2487i | 0.530288 | + | 0.918485i | ||||
\(698\) | −4.73930 | + | 5.79129i | −0.179385 | + | 0.219203i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.58258 | + | 7.84190i | 0.0598157 | + | 0.296396i | ||||
\(701\) | 1.00000i | 0.0377695i | 0.999822 | + | 0.0188847i | \(0.00601156\pi\) | ||||
−0.999822 | + | 0.0188847i | \(0.993988\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 28.0000 | 1.05604 | ||||||||
\(704\) | 1.76978 | + | 23.9347i | 0.0667009 | + | 0.902071i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −17.3739 | − | 14.2179i | −0.653874 | − | 0.535098i | ||||
\(707\) | −14.7224 | + | 8.50000i | −0.553694 | + | 0.319675i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −18.3303 | − | 10.5830i | −0.688409 | − | 0.397453i | 0.114607 | − | 0.993411i | \(-0.463439\pi\) |
−0.803016 | + | 0.595958i | \(0.796773\pi\) | |||||||
\(710\) | 7.93725 | + | 21.0000i | 0.297880 | + | 0.788116i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −14.0000 | + | 26.4575i | −0.524672 | + | 0.991537i | ||||
\(713\) | −18.5203 | + | 32.0780i | −0.693589 | + | 1.20133i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 13.7477 | − | 7.93725i | 0.514136 | − | 0.296836i | ||||
\(716\) | 14.6648 | − | 43.5998i | 0.548050 | − | 1.62940i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 4.83485 | − | 29.5402i | 0.180435 | − | 1.10243i | ||||
\(719\) | −21.1660 | −0.789359 | −0.394679 | − | 0.918819i | \(-0.629144\pi\) | ||||
−0.394679 | + | 0.918819i | \(0.629144\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 2.05583 | − | 12.5608i | 0.0765099 | − | 0.467464i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 13.4955 | − | 40.1232i | 0.501555 | − | 1.49117i | ||||
\(725\) | 20.7846 | − | 12.0000i | 0.771921 | − | 0.445669i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −16.5000 | + | 28.5788i | −0.611951 | + | 1.05993i | 0.378960 | + | 0.925413i | \(0.376282\pi\) |
−0.990911 | + | 0.134517i | \(0.957052\pi\) | |||||||
\(728\) | −13.2288 | − | 7.00000i | −0.490290 | − | 0.259437i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 1.50000 | + | 3.96863i | 0.0555175 | + | 0.146885i | ||||
\(731\) | 48.4974 | + | 28.0000i | 1.79374 | + | 1.03562i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −4.58258 | + | 2.64575i | −0.169261 | + | 0.0977231i | −0.582237 | − | 0.813019i | \(-0.697823\pi\) |
0.412976 | + | 0.910742i | \(0.364489\pi\) | |||||||
\(734\) | 3.28335 | + | 2.68693i | 0.121191 | + | 0.0991765i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −28.7042 | − | 8.48945i | −1.05805 | − | 0.312925i | ||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 5.29150i | − | 0.194651i | −0.995253 | − | 0.0973255i | \(-0.968971\pi\) | ||
0.995253 | − | 0.0973255i | \(-0.0310288\pi\) | |||||||
\(740\) | 2.09355 | + | 10.3739i | 0.0769605 | + | 0.381351i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −8.06080 | + | 9.85005i | −0.295921 | + | 0.361607i | ||||
\(743\) | −18.5203 | − | 32.0780i | −0.679442 | − | 1.17683i | −0.975149 | − | 0.221550i | \(-0.928888\pi\) |
0.295707 | − | 0.955279i | \(-0.404445\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.50000 | + | 2.59808i | −0.0549557 | + | 0.0951861i | ||||
\(746\) | −13.2288 | − | 35.0000i | −0.484339 | − | 1.28144i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −21.0000 | − | 23.8118i | −0.767836 | − | 0.870644i | ||||
\(749\) | −2.59808 | − | 1.50000i | −0.0949316 | − | 0.0548088i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.5000 | + | 26.8468i | 0.565603 | + | 0.979653i | 0.996993 | + | 0.0774878i | \(0.0246899\pi\) |
−0.431390 | + | 0.902165i | \(0.641977\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −7.25227 | + | 44.3103i | −0.264112 | + | 1.61369i | ||||
\(755\) | 3.00000i | 0.109181i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(758\) | −29.5402 | − | 4.83485i | −1.07295 | − | 0.175610i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 14.9564 | − | 0.552200i | 0.542527 | − | 0.0200304i | ||||
\(761\) | −5.29150 | − | 9.16515i | −0.191817 | − | 0.332236i | 0.754036 | − | 0.656834i | \(-0.228105\pi\) |
−0.945852 | + | 0.324597i | \(0.894771\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −4.58258 | − | 2.64575i | −0.165900 | − | 0.0957826i | ||||
\(764\) | −7.93725 | + | 7.00000i | −0.287160 | + | 0.253251i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 21.0000 | − | 7.93725i | 0.758761 | − | 0.286785i | ||||
\(767\) | 10.5830 | − | 18.3303i | 0.382130 | − | 0.661869i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 17.5000 | + | 30.3109i | 0.631066 | + | 1.09304i | 0.987334 | + | 0.158655i | \(0.0507157\pi\) |
−0.356268 | + | 0.934384i | \(0.615951\pi\) | |||||||
\(770\) | 3.28335 | + | 2.68693i | 0.118324 | + | 0.0968303i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1.18693 | − | 5.88143i | −0.0427186 | − | 0.211677i | ||||
\(773\) | − | 14.0000i | − | 0.503545i | −0.967786 | − | 0.251773i | \(-0.918987\pi\) | ||
0.967786 | − | 0.251773i | \(-0.0810135\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −28.0000 | −1.00579 | ||||||||
\(776\) | 10.5254 | + | 16.7695i | 0.377839 | + | 0.601990i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 4.47822 | − | 5.47225i | 0.160552 | − | 0.196190i | ||||
\(779\) | 24.2487 | − | 14.0000i | 0.868800 | − | 0.501602i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −41.2432 | − | 23.8118i | −1.47580 | − | 0.852052i | ||||
\(782\) | 37.0405 | − | 14.0000i | 1.32457 | − | 0.500639i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −3.00000 | + | 23.8118i | −0.107143 | + | 0.850420i | ||||
\(785\) | 5.29150 | − | 9.16515i | 0.188862 | − | 0.327118i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(788\) | −8.28880 | + | 24.6434i | −0.295276 | + | 0.877884i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −5.58258 | − | 0.913701i | −0.198619 | − | 0.0325080i | ||||
\(791\) | 15.8745 | 0.564433 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −7.38505 | − | 1.20871i | −0.262086 | − | 0.0428956i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 32.2259 | + | 10.8392i | 1.14222 | + | 0.384185i | ||||
\(797\) | −42.4352 | + | 24.5000i | −1.50313 | + | 0.867835i | −0.503140 | + | 0.864205i | \(0.667822\pi\) |
−0.999993 | + | 0.00362965i | \(0.998845\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −5.29150 | − | 22.0000i | −0.187083 | − | 0.777817i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −7.79423 | − | 4.50000i | −0.275052 | − | 0.158802i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.58258 | + | 2.64575i | −0.161515 | + | 0.0932505i | ||||
\(806\) | 33.1751 | − | 40.5390i | 1.16854 | − | 1.42793i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 40.7259 | − | 25.5616i | 1.43273 | − | 0.899255i | ||||
\(809\) | 31.7490 | 1.11624 | 0.558118 | − | 0.829762i | \(-0.311524\pi\) | ||||
0.558118 | + | 0.829762i | \(0.311524\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 37.0405i | − | 1.30067i | −0.759648 | − | 0.650334i | \(-0.774629\pi\) | ||
0.759648 | − | 0.650334i | \(-0.225371\pi\) | |||||||
\(812\) | −11.7629 | + | 2.37386i | −0.412795 | + | 0.0833063i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −17.3739 | − | 14.2179i | −0.608954 | − | 0.498337i | ||||
\(815\) | −2.64575 | − | 4.58258i | −0.0926766 | − | 0.160521i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 28.0000 | − | 48.4974i | 0.979596 | − | 1.69671i | ||||
\(818\) | −14.5516 | + | 5.50000i | −0.508786 | + | 0.192303i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 7.00000 | + | 7.93725i | 0.244451 | + | 0.277181i | ||||
\(821\) | −8.66025 | − | 5.00000i | −0.302245 | − | 0.174501i | 0.341206 | − | 0.939989i | \(-0.389165\pi\) |
−0.643451 | + | 0.765487i | \(0.722498\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −11.5000 | − | 19.9186i | −0.400865 | − | 0.694318i | 0.592966 | − | 0.805228i | \(-0.297957\pi\) |
−0.993831 | + | 0.110910i | \(0.964624\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 5.58258 | + | 0.913701i | 0.194243 | + | 0.0317917i | ||||
\(827\) | − | 36.0000i | − | 1.25184i | −0.779886 | − | 0.625921i | \(-0.784723\pi\) | ||
0.779886 | − | 0.625921i | \(-0.215277\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 21.1660i | 0.735126i | 0.929999 | + | 0.367563i | \(0.119808\pi\) | ||||
−0.929999 | + | 0.367563i | \(0.880192\pi\) | |||||||
\(830\) | −1.59898 | + | 9.76951i | −0.0555013 | + | 0.339105i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 38.1216 | + | 18.4050i | 1.32163 | + | 0.638079i | ||||
\(833\) | −15.8745 | − | 27.4955i | −0.550019 | − | 0.952661i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 9.16515 | + | 5.29150i | 0.317173 | + | 0.183120i | ||||
\(836\) | −23.8118 | + | 21.0000i | −0.823547 | + | 0.726300i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −18.5203 | + | 32.0780i | −0.639390 | + | 1.10746i | 0.346176 | + | 0.938169i | \(0.387480\pi\) |
−0.985567 | + | 0.169287i | \(0.945853\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 3.50000 | + | 6.06218i | 0.120690 | + | 0.209041i | ||||
\(842\) | −9.47860 | + | 11.5826i | −0.326654 | + | 0.399162i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 10.3739 | − | 2.09355i | 0.357083 | − | 0.0720630i | ||||
\(845\) | − | 15.0000i | − | 0.516016i | ||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 2.00000 | 0.0687208 | ||||||||
\(848\) | 21.7559 | − | 28.6824i | 0.747102 | − | 0.984957i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 23.1652 | + | 18.9572i | 0.794558 | + | 0.650227i | ||||
\(851\) | 24.2487 | − | 14.0000i | 0.831235 | − | 0.479914i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 7.50000 | + | 3.96863i | 0.256345 | + | 0.135645i | ||||
\(857\) | −7.93725 | + | 13.7477i | −0.271131 | + | 0.469613i | −0.969152 | − | 0.246464i | \(-0.920731\pi\) |
0.698020 | + | 0.716078i | \(0.254064\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −45.8258 | + | 26.4575i | −1.56355 | + | 0.902719i | −0.566662 | + | 0.823951i | \(0.691765\pi\) |
−0.996893 | + | 0.0787681i | \(0.974901\pi\) | |||||||
\(860\) | 20.0616 | + | 6.74773i | 0.684095 | + | 0.230096i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 7.25227 | − | 44.3103i | 0.247013 | − | 1.50922i | ||||
\(863\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −15.0000 | −0.510015 | ||||||||
\(866\) | −1.14213 | + | 6.97822i | −0.0388110 | + | 0.237130i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 13.2695 | + | 4.46320i | 0.450396 | + | 0.151491i | ||||
\(869\) | 10.3923 | − | 6.00000i | 0.352535 | − | 0.203536i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 13.2288 | + | 7.00000i | 0.447982 | + | 0.237050i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −14.0000 | − | 37.0405i | −0.473557 | − | 1.25291i | ||||
\(875\) | −7.79423 | − | 4.50000i | −0.263493 | − | 0.152128i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 45.8258 | − | 26.4575i | 1.54743 | − | 0.893407i | 0.549089 | − | 0.835764i | \(-0.314975\pi\) |
0.998337 | − | 0.0576426i | \(-0.0183584\pi\) | |||||||
\(878\) | 22.9835 | + | 18.8085i | 0.775654 | + | 0.634757i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −9.56080 | − | 7.25198i | −0.322294 | − | 0.244464i | ||||
\(881\) | −26.4575 | −0.891376 | −0.445688 | − | 0.895188i | \(-0.647041\pi\) | ||||
−0.445688 | + | 0.895188i | \(0.647041\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 58.2065i | 1.95881i | 0.201916 | + | 0.979403i | \(0.435283\pi\) | ||||
−0.201916 | + | 0.979403i | \(0.564717\pi\) | |||||||
\(884\) | −54.8933 | + | 11.0780i | −1.84626 | + | 0.372594i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −21.4955 | + | 26.2668i | −0.722154 | + | 0.882451i | ||||
\(887\) | 7.93725 | + | 13.7477i | 0.266507 | + | 0.461603i | 0.967957 | − | 0.251115i | \(-0.0807972\pi\) |
−0.701450 | + | 0.712718i | \(0.747464\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −6.50000 | + | 11.2583i | −0.218003 | + | 0.377592i | ||||
\(890\) | −5.29150 | − | 14.0000i | −0.177372 | − | 0.469281i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −24.0000 | + | 21.1660i | −0.803579 | + | 0.708690i | ||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 11.5000 | + | 19.9186i | 0.384403 | + | 0.665805i | ||||
\(896\) | −0.999100 | + | 11.2695i | −0.0333776 | + | 0.376488i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −3.62614 | + | 22.1552i | −0.121006 | + | 0.739327i | ||||
\(899\) | − | 42.0000i | − | 1.40078i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 47.6235i | 1.58657i | ||||||||
\(902\) | −22.1552 | − | 3.62614i | −0.737686 | − | 0.120737i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −44.8693 | + | 1.65660i | −1.49233 | + | 0.0550977i | ||||
\(905\) | 10.5830 | + | 18.3303i | 0.351791 | + | 0.609320i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −4.58258 | − | 2.64575i | −0.152162 | − | 0.0878507i | 0.421986 | − | 0.906602i | \(-0.361333\pi\) |
−0.574148 | + | 0.818752i | \(0.694667\pi\) | |||||||
\(908\) | 5.29150 | + | 6.00000i | 0.175605 | + | 0.199117i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 7.00000 | − | 2.64575i | 0.232048 | − | 0.0877058i | ||||
\(911\) | −15.8745 | + | 27.4955i | −0.525946 | + | 0.910965i | 0.473597 | + | 0.880742i | \(0.342955\pi\) |
−0.999543 | + | 0.0302235i | \(0.990378\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −10.5000 | − | 18.1865i | −0.347499 | − | 0.601886i | ||||
\(914\) | −18.6057 | − | 15.2259i | −0.615421 | − | 0.503630i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −41.4955 | + | 8.37420i | −1.37105 | + | 0.276691i | ||||
\(917\) | − | 7.00000i | − | 0.231160i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 3.00000 | 0.0989609 | 0.0494804 | − | 0.998775i | \(-0.484243\pi\) | ||||
0.0494804 | + | 0.998775i | \(0.484243\pi\) | |||||||
\(920\) | 12.6766 | − | 7.95644i | 0.417934 | − | 0.262316i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −8.06080 | + | 9.85005i | −0.265468 | + | 0.324394i | ||||
\(923\) | −72.7461 | + | 42.0000i | −2.39447 | + | 1.38245i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 18.3303 | + | 10.5830i | 0.602697 | + | 0.347967i | ||||
\(926\) | −54.2379 | + | 20.5000i | −1.78237 | + | 0.673672i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 33.0000 | − | 7.93725i | 1.08328 | − | 0.260553i | ||||
\(929\) | −5.29150 | + | 9.16515i | −0.173609 | + | 0.300699i | −0.939679 | − | 0.342058i | \(-0.888876\pi\) |
0.766070 | + | 0.642757i | \(0.222209\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −27.4955 | + | 15.8745i | −0.901127 | + | 0.520266i | ||||
\(932\) | 20.0616 | + | 6.74773i | 0.657140 | + | 0.221029i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −1.39564 | − | 0.228425i | −0.0456669 | − | 0.00747430i | ||||
\(935\) | 15.8745 | 0.519152 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −19.0000 | −0.620703 | −0.310351 | − | 0.950622i | \(-0.600447\pi\) | ||||
−0.310351 | + | 0.950622i | \(0.600447\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −18.1865 | + | 10.5000i | −0.592864 | + | 0.342290i | −0.766229 | − | 0.642567i | \(-0.777869\pi\) |
0.173365 | + | 0.984858i | \(0.444536\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 14.0000 | − | 24.2487i | 0.455903 | − | 0.789647i | ||||
\(944\) | −15.8745 | − | 2.00000i | −0.516671 | − | 0.0650945i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −42.0000 | + | 15.8745i | −1.36554 | + | 0.516125i | ||||
\(947\) | −33.7750 | − | 19.5000i | −1.09754 | − | 0.633665i | −0.161966 | − | 0.986796i | \(-0.551783\pi\) |
−0.935574 | + | 0.353131i | \(0.885117\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −13.7477 | + | 7.93725i | −0.446270 | + | 0.257654i | ||||
\(950\) | 18.9572 | − | 23.1652i | 0.615053 | − | 0.751577i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −7.95644 | − | 12.6766i | −0.257870 | − | 0.410850i | ||||
\(953\) | −31.7490 | −1.02845 | −0.514226 | − | 0.857655i | \(-0.671921\pi\) | ||||
−0.514226 | + | 0.857655i | \(0.671921\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 5.29150i | − | 0.171229i | ||||||
\(956\) | −6.28065 | − | 31.1216i | −0.203131 | − | 1.00654i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −23.1652 | − | 18.9572i | −0.748432 | − | 0.612480i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.00000 | + | 15.5885i | −0.290323 | + | 0.502853i | ||||
\(962\) | −37.0405 | + | 14.0000i | −1.19423 | + | 0.451378i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −15.0000 | + | 13.2288i | −0.483117 | + | 0.426070i | ||||
\(965\) | 2.59808 | + | 1.50000i | 0.0836350 | + | 0.0482867i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −20.5000 | − | 35.5070i | −0.659236 | − | 1.14183i | −0.980814 | − | 0.194946i | \(-0.937547\pi\) |
0.321578 | − | 0.946883i | \(-0.395787\pi\) | |||||||
\(968\) | −5.65300 | + | 0.208712i | −0.181694 | + | 0.00670826i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −9.76951 | − | 1.59898i | −0.313680 | − | 0.0513400i | ||||
\(971\) | 15.0000i | 0.481373i | 0.970603 | + | 0.240686i | \(0.0773725\pi\) | ||||
−0.970603 | + | 0.240686i | \(0.922627\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | − | 10.5830i | − | 0.339276i | ||||||
\(974\) | 9.13701 | − | 55.8258i | 0.292769 | − | 1.78877i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −5.29150 | − | 9.16515i | −0.169290 | − | 0.293219i | 0.768880 | − | 0.639393i | \(-0.220814\pi\) |
−0.938170 | + | 0.346174i | \(0.887481\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 27.4955 | + | 15.8745i | 0.878759 | + | 0.507351i | ||||
\(980\) | −7.93725 | − | 9.00000i | −0.253546 | − | 0.287494i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 14.5000 | + | 38.3634i | 0.462714 | + | 1.22423i | ||||
\(983\) | 21.1660 | − | 36.6606i | 0.675091 | − | 1.16929i | −0.301351 | − | 0.953513i | \(-0.597438\pi\) |
0.976442 | − | 0.215779i | \(-0.0692289\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −6.50000 | − | 11.2583i | −0.207107 | − | 0.358720i | ||||
\(986\) | −28.4358 | + | 34.7477i | −0.905581 | + | 1.10659i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 11.0780 | + | 54.8933i | 0.352439 | + | 1.74639i | ||||
\(989\) | − | 56.0000i | − | 1.78070i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 47.0000 | 1.49300 | 0.746502 | − | 0.665383i | \(-0.231732\pi\) | ||||
0.746502 | + | 0.665383i | \(0.231732\pi\) | |||||||
\(992\) | −37.9720 | − | 11.2305i | −1.20561 | − | 0.356568i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −17.3739 | − | 14.2179i | −0.551065 | − | 0.450965i | ||||
\(995\) | −14.7224 | + | 8.50000i | −0.466732 | + | 0.269468i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 13.7477 | + | 7.93725i | 0.435395 | + | 0.251375i | 0.701642 | − | 0.712529i | \(-0.252450\pi\) |
−0.266247 | + | 0.963905i | \(0.585784\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))