Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(9,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.j (of order \(10\), degree \(4\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | 16.0.343361479062744140625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{15} + 3 x^{14} - 8 x^{13} + 8 x^{12} + 7 x^{11} + 6 x^{10} + 56 x^{9} - 137 x^{8} + 168 x^{7} + 54 x^{6} + 189 x^{5} + 648 x^{4} - 1944 x^{3} + 2187 x^{2} - 2187 x + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 9.2 | ||
Root | \(-0.144291 - 1.72603i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 605.9 |
Dual form | 605.2.j.j.269.2 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.753510 | − | 0.244830i | −0.532812 | − | 0.173121i | 0.0302400 | − | 0.999543i | \(-0.490373\pi\) |
−0.563052 | + | 0.826422i | \(0.690373\pi\) | |||||||
\(3\) | 1.48377 | + | 2.04223i | 0.856654 | + | 1.17908i | 0.982357 | + | 0.187015i | \(0.0598814\pi\) |
−0.125703 | + | 0.992068i | \(0.540119\pi\) | |||||||
\(4\) | −1.11020 | − | 0.806607i | −0.555099 | − | 0.403303i | ||||
\(5\) | −0.228670 | − | 2.22434i | −0.102264 | − | 0.994757i | ||||
\(6\) | −0.618034 | − | 1.90211i | −0.252311 | − | 0.776534i | ||||
\(7\) | −2.03615 | + | 2.80252i | −0.769592 | + | 1.05925i | 0.226764 | + | 0.973950i | \(0.427186\pi\) |
−0.996355 | + | 0.0853021i | \(0.972814\pi\) | |||||||
\(8\) | 1.57045 | + | 2.16154i | 0.555239 | + | 0.764221i | ||||
\(9\) | −1.04209 | + | 3.20723i | −0.347364 | + | 1.06908i | ||||
\(10\) | −0.372281 | + | 1.73205i | −0.117726 | + | 0.547723i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | − | 3.46410i | − | 1.00000i | ||||||
\(13\) | 0 | 0 | 0.309017 | − | 0.951057i | \(-0.400000\pi\) | ||||
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(14\) | 2.22040 | − | 1.61321i | 0.593426 | − | 0.431149i | ||||
\(15\) | 4.20333 | − | 3.76741i | 1.08530 | − | 0.972741i | ||||
\(16\) | 0.193976 | + | 0.596996i | 0.0484939 | + | 0.149249i | ||||
\(17\) | −4.80158 | + | 1.56013i | −1.16455 | + | 0.378386i | −0.826607 | − | 0.562779i | \(-0.809732\pi\) |
−0.337946 | + | 0.941166i | \(0.609732\pi\) | |||||||
\(18\) | 1.57045 | − | 2.16154i | 0.370159 | − | 0.509481i | ||||
\(19\) | −3.23607 | + | 2.35114i | −0.742405 | + | 0.539389i | −0.893463 | − | 0.449136i | \(-0.851732\pi\) |
0.151058 | + | 0.988525i | \(0.451732\pi\) | |||||||
\(20\) | −1.54030 | + | 2.65391i | −0.344422 | + | 0.593433i | ||||
\(21\) | −8.74456 | −1.90822 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.52434i | 0.526361i | 0.964747 | + | 0.263180i | \(0.0847714\pi\) | ||||
−0.964747 | + | 0.263180i | \(0.915229\pi\) | |||||||
\(24\) | −2.08418 | + | 6.41446i | −0.425432 | + | 1.30935i | ||||
\(25\) | −4.89542 | + | 1.01728i | −0.979084 | + | 0.203457i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.893769 | + | 0.290403i | −0.172006 | + | 0.0558881i | ||||
\(28\) | 4.52106 | − | 1.46898i | 0.854400 | − | 0.277611i | ||||
\(29\) | 2.22040 | + | 1.61321i | 0.412318 | + | 0.299566i | 0.774539 | − | 0.632526i | \(-0.217982\pi\) |
−0.362222 | + | 0.932092i | \(0.617982\pi\) | |||||||
\(30\) | −4.08963 | + | 1.80968i | −0.746661 | + | 0.330400i | ||||
\(31\) | −0.733075 | + | 2.25617i | −0.131664 | + | 0.405221i | −0.995056 | − | 0.0993129i | \(-0.968336\pi\) |
0.863392 | + | 0.504534i | \(0.168336\pi\) | |||||||
\(32\) | − | 5.84096i | − | 1.03255i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.00000 | 0.685994 | ||||||||
\(35\) | 6.69937 | + | 3.88824i | 1.13240 | + | 0.657233i | ||||
\(36\) | 3.74390 | − | 2.72010i | 0.623984 | − | 0.453351i | ||||
\(37\) | −6.48745 | + | 8.92921i | −1.06653 | + | 1.46795i | −0.192991 | + | 0.981200i | \(0.561819\pi\) |
−0.873540 | + | 0.486753i | \(0.838181\pi\) | |||||||
\(38\) | 3.01404 | − | 0.979321i | 0.488942 | − | 0.158867i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 4.44890 | − | 3.98751i | 0.703433 | − | 0.630481i | ||||
\(41\) | −2.22040 | + | 1.61321i | −0.346768 | + | 0.251942i | −0.747512 | − | 0.664248i | \(-0.768752\pi\) |
0.400744 | + | 0.916190i | \(0.368752\pi\) | |||||||
\(42\) | 6.58911 | + | 2.14093i | 1.01672 | + | 0.330353i | ||||
\(43\) | 3.46410i | 0.528271i | 0.964486 | + | 0.264135i | \(0.0850865\pi\) | ||||
−0.964486 | + | 0.264135i | \(0.914913\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 7.37228 | + | 1.58457i | 1.09899 | + | 0.236214i | ||||
\(46\) | 0.618034 | − | 1.90211i | 0.0911241 | − | 0.280451i | ||||
\(47\) | −3.89893 | − | 5.36641i | −0.568717 | − | 0.782772i | 0.423685 | − | 0.905810i | \(-0.360736\pi\) |
−0.992402 | + | 0.123038i | \(0.960736\pi\) | |||||||
\(48\) | −0.931389 | + | 1.28195i | −0.134434 | + | 0.185033i | ||||
\(49\) | −1.54508 | − | 4.75528i | −0.220726 | − | 0.679326i | ||||
\(50\) | 3.93781 | + | 0.432013i | 0.556890 | + | 0.0610959i | ||||
\(51\) | −10.3106 | − | 7.49107i | −1.44377 | − | 1.04896i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 3.01404 | + | 0.979321i | 0.414010 | + | 0.134520i | 0.508613 | − | 0.860995i | \(-0.330158\pi\) |
−0.0946033 | + | 0.995515i | \(0.530158\pi\) | |||||||
\(54\) | 0.744563 | 0.101322 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −9.25544 | −1.23681 | ||||||||
\(57\) | −9.60315 | − | 3.12025i | −1.27197 | − | 0.413288i | ||||
\(58\) | −1.27813 | − | 1.75919i | −0.167826 | − | 0.230993i | ||||
\(59\) | −1.31685 | − | 0.956749i | −0.171440 | − | 0.124558i | 0.498757 | − | 0.866742i | \(-0.333790\pi\) |
−0.670196 | + | 0.742184i | \(0.733790\pi\) | |||||||
\(60\) | −7.70536 | + | 0.792137i | −0.994757 | + | 0.102264i | ||||
\(61\) | −3.32025 | − | 10.2187i | −0.425115 | − | 1.30837i | −0.902884 | − | 0.429884i | \(-0.858555\pi\) |
0.477770 | − | 0.878485i | \(-0.341445\pi\) | |||||||
\(62\) | 1.10476 | − | 1.52057i | 0.140304 | − | 0.193113i | ||||
\(63\) | −6.86646 | − | 9.45088i | −0.865093 | − | 1.19070i | ||||
\(64\) | −1.04209 | + | 3.20723i | −0.130262 | + | 0.400904i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 0.644810i | − | 0.0787761i | −0.999224 | − | 0.0393880i | \(-0.987459\pi\) | ||
0.999224 | − | 0.0393880i | \(-0.0125408\pi\) | |||||||
\(68\) | 6.58911 | + | 2.14093i | 0.799047 | + | 0.259626i | ||||
\(69\) | −5.15528 | + | 3.74553i | −0.620623 | + | 0.450909i | ||||
\(70\) | −4.09608 | − | 4.57004i | −0.489575 | − | 0.546224i | ||||
\(71\) | 2.19923 | + | 6.76852i | 0.261000 | + | 0.803276i | 0.992588 | + | 0.121528i | \(0.0387796\pi\) |
−0.731588 | + | 0.681747i | \(0.761220\pi\) | |||||||
\(72\) | −8.56912 | + | 2.78428i | −1.00988 | + | 0.328130i | ||||
\(73\) | −4.07230 | + | 5.60503i | −0.476626 | + | 0.656020i | −0.977852 | − | 0.209297i | \(-0.932883\pi\) |
0.501226 | + | 0.865316i | \(0.332883\pi\) | |||||||
\(74\) | 7.07450 | − | 5.13992i | 0.822394 | − | 0.597504i | ||||
\(75\) | −9.34120 | − | 8.48817i | −1.07863 | − | 0.980130i | ||||
\(76\) | 5.48913 | 0.629646 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.93829 | − | 12.1208i | 0.443092 | − | 1.36370i | −0.441471 | − | 0.897276i | \(-0.645543\pi\) |
0.884563 | − | 0.466421i | \(-0.154457\pi\) | |||||||
\(80\) | 1.28357 | − | 0.567984i | 0.143507 | − | 0.0635026i | ||||
\(81\) | 6.26548 | + | 4.55214i | 0.696165 | + | 0.505793i | ||||
\(82\) | 2.06805 | − | 0.671952i | 0.228378 | − | 0.0742046i | ||||
\(83\) | 6.30860 | − | 2.04979i | 0.692458 | − | 0.224993i | 0.0584167 | − | 0.998292i | \(-0.481395\pi\) |
0.634042 | + | 0.773299i | \(0.281395\pi\) | |||||||
\(84\) | 9.70820 | + | 7.05342i | 1.05925 | + | 0.769592i | ||||
\(85\) | 4.56824 | + | 10.3236i | 0.495495 | + | 1.11975i | ||||
\(86\) | 0.848116 | − | 2.61023i | 0.0914548 | − | 0.281469i | ||||
\(87\) | 6.92820i | 0.742781i | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.37228 | 0.463461 | 0.231730 | − | 0.972780i | \(-0.425561\pi\) | ||||
0.231730 | + | 0.972780i | \(0.425561\pi\) | |||||||
\(90\) | −5.16713 | − | 2.99895i | −0.544664 | − | 0.316117i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 2.03615 | − | 2.80252i | 0.212283 | − | 0.292183i | ||||
\(93\) | −5.69534 | + | 1.85053i | −0.590580 | + | 0.191891i | ||||
\(94\) | 1.62402 | + | 4.99822i | 0.167505 | + | 0.515527i | ||||
\(95\) | 5.96974 | + | 6.66049i | 0.612483 | + | 0.683352i | ||||
\(96\) | 11.9286 | − | 8.66664i | 1.21746 | − | 0.884535i | ||||
\(97\) | −3.90781 | − | 1.26972i | −0.396778 | − | 0.128921i | 0.103830 | − | 0.994595i | \(-0.466890\pi\) |
−0.500608 | + | 0.865674i | \(0.666890\pi\) | |||||||
\(98\) | 3.96143i | 0.400165i | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 6.25544 | + | 2.81929i | 0.625544 | + | 0.281929i | ||||
\(101\) | −1.85410 | + | 5.70634i | −0.184490 | + | 0.567802i | −0.999939 | − | 0.0110267i | \(-0.996490\pi\) |
0.815449 | + | 0.578829i | \(0.196490\pi\) | |||||||
\(102\) | 5.93507 | + | 8.16893i | 0.587660 | + | 0.808844i | ||||
\(103\) | 6.10844 | − | 8.40755i | 0.601883 | − | 0.828421i | −0.393996 | − | 0.919112i | \(-0.628908\pi\) |
0.995879 | + | 0.0906914i | \(0.0289077\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1.99962 | + | 19.4509i | 0.195143 | + | 1.89822i | ||||
\(106\) | −2.03134 | − | 1.47586i | −0.197301 | − | 0.143348i | ||||
\(107\) | 3.89893 | + | 5.36641i | 0.376923 | + | 0.518791i | 0.954766 | − | 0.297358i | \(-0.0961053\pi\) |
−0.577843 | + | 0.816148i | \(0.696105\pi\) | |||||||
\(108\) | 1.22650 | + | 0.398515i | 0.118020 | + | 0.0383471i | ||||
\(109\) | 10.0000 | 0.957826 | 0.478913 | − | 0.877862i | \(-0.341031\pi\) | ||||
0.478913 | + | 0.877862i | \(0.341031\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −27.8614 | −2.64449 | ||||||||
\(112\) | −2.06805 | − | 0.671952i | −0.195413 | − | 0.0634935i | ||||
\(113\) | 9.45499 | + | 13.0137i | 0.889451 | + | 1.22422i | 0.973713 | + | 0.227780i | \(0.0731468\pi\) |
−0.0842619 | + | 0.996444i | \(0.526853\pi\) | |||||||
\(114\) | 6.47214 | + | 4.70228i | 0.606171 | + | 0.440409i | ||||
\(115\) | 5.61500 | − | 0.577241i | 0.523601 | − | 0.0538280i | ||||
\(116\) | −1.16385 | − | 3.58198i | −0.108061 | − | 0.332578i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.758020 | + | 1.04332i | 0.0697814 | + | 0.0960458i | ||||
\(119\) | 5.40444 | − | 16.6331i | 0.495424 | − | 1.52476i | ||||
\(120\) | 14.7446 | + | 3.16915i | 1.34599 | + | 0.289302i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 8.51278i | 0.770711i | ||||||||
\(123\) | −6.58911 | − | 2.14093i | −0.594120 | − | 0.193041i | ||||
\(124\) | 2.63370 | − | 1.91350i | 0.236514 | − | 0.171837i | ||||
\(125\) | 3.38223 | + | 10.6565i | 0.302516 | + | 0.953144i | ||||
\(126\) | 2.86009 | + | 8.80244i | 0.254797 | + | 0.784184i | ||||
\(127\) | 11.1102 | − | 3.60991i | 0.985868 | − | 0.320328i | 0.228663 | − | 0.973506i | \(-0.426564\pi\) |
0.757205 | + | 0.653178i | \(0.226564\pi\) | |||||||
\(128\) | −5.29601 | + | 7.28933i | −0.468106 | + | 0.644292i | ||||
\(129\) | −7.07450 | + | 5.13992i | −0.622875 | + | 0.452545i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −8.74456 | −0.764016 | −0.382008 | − | 0.924159i | \(-0.624767\pi\) | ||||
−0.382008 | + | 0.924159i | \(0.624767\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 13.8564i | − | 1.20150i | ||||||
\(134\) | −0.157869 | + | 0.485871i | −0.0136378 | + | 0.0419728i | ||||
\(135\) | 0.850335 | + | 1.92164i | 0.0731852 | + | 0.165389i | ||||
\(136\) | −10.9129 | − | 7.92871i | −0.935776 | − | 0.679881i | ||||
\(137\) | 2.12027 | − | 0.688918i | 0.181147 | − | 0.0588582i | −0.217039 | − | 0.976163i | \(-0.569640\pi\) |
0.398186 | + | 0.917305i | \(0.369640\pi\) | |||||||
\(138\) | 4.80158 | − | 1.56013i | 0.408737 | − | 0.132807i | ||||
\(139\) | −14.7514 | − | 10.7175i | −1.25119 | − | 0.909046i | −0.252904 | − | 0.967491i | \(-0.581386\pi\) |
−0.998291 | + | 0.0584456i | \(0.981386\pi\) | |||||||
\(140\) | −4.30135 | − | 9.72048i | −0.363531 | − | 0.821531i | ||||
\(141\) | 5.17435 | − | 15.9250i | 0.435759 | − | 1.34113i | ||||
\(142\) | − | 5.63858i | − | 0.473179i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −2.11684 | −0.176404 | ||||||||
\(145\) | 3.08060 | − | 5.30782i | 0.255830 | − | 0.440791i | ||||
\(146\) | 4.44080 | − | 3.22643i | 0.367523 | − | 0.267021i | ||||
\(147\) | 7.41884 | − | 10.2112i | 0.611896 | − | 0.842202i | ||||
\(148\) | 14.4047 | − | 4.68038i | 1.18406 | − | 0.384725i | ||||
\(149\) | 3.55033 | + | 10.9268i | 0.290855 | + | 0.895159i | 0.984582 | + | 0.174921i | \(0.0559672\pi\) |
−0.693728 | + | 0.720237i | \(0.744033\pi\) | |||||||
\(150\) | 4.96052 | + | 8.68293i | 0.405025 | + | 0.708958i | ||||
\(151\) | 17.9874 | − | 13.0686i | 1.46380 | − | 1.06351i | 0.481443 | − | 0.876478i | \(-0.340113\pi\) |
0.982354 | − | 0.187033i | \(-0.0598871\pi\) | |||||||
\(152\) | −10.1642 | − | 3.30254i | −0.824424 | − | 0.267872i | ||||
\(153\) | − | 17.0256i | − | 1.37643i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.18614 | + | 1.11469i | 0.416561 | + | 0.0895342i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.17318 | − | 4.36750i | −0.253247 | − | 0.348565i | 0.663398 | − | 0.748267i | \(-0.269114\pi\) |
−0.916645 | + | 0.399702i | \(0.869114\pi\) | |||||||
\(158\) | −5.93507 | + | 8.16893i | −0.472169 | + | 0.649885i | ||||
\(159\) | 2.47214 | + | 7.60845i | 0.196053 | + | 0.603390i | ||||
\(160\) | −12.9923 | + | 1.33566i | −1.02713 | + | 0.105593i | ||||
\(161\) | −7.07450 | − | 5.13992i | −0.557549 | − | 0.405083i | ||||
\(162\) | −3.60660 | − | 4.96406i | −0.283361 | − | 0.390013i | ||||
\(163\) | 3.29456 | + | 1.07047i | 0.258050 | + | 0.0838454i | 0.435185 | − | 0.900341i | \(-0.356683\pi\) |
−0.177135 | + | 0.984187i | \(0.556683\pi\) | |||||||
\(164\) | 3.76631 | 0.294100 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.25544 | −0.407901 | ||||||||
\(167\) | 21.2744 | + | 6.91246i | 1.64626 | + | 0.534902i | 0.977924 | − | 0.208959i | \(-0.0670074\pi\) |
0.668335 | + | 0.743861i | \(0.267007\pi\) | |||||||
\(168\) | −13.7329 | − | 18.9018i | −1.05952 | − | 1.45830i | ||||
\(169\) | −10.5172 | − | 7.64121i | −0.809017 | − | 0.587785i | ||||
\(170\) | −0.914681 | − | 8.89738i | −0.0701529 | − | 0.682398i | ||||
\(171\) | −4.16837 | − | 12.8289i | −0.318763 | − | 0.981052i | ||||
\(172\) | 2.79417 | − | 3.84584i | 0.213053 | − | 0.293243i | ||||
\(173\) | 1.10476 | + | 1.52057i | 0.0839932 | + | 0.115607i | 0.848946 | − | 0.528480i | \(-0.177238\pi\) |
−0.764953 | + | 0.644086i | \(0.777238\pi\) | |||||||
\(174\) | 1.69623 | − | 5.22047i | 0.128591 | − | 0.395763i | ||||
\(175\) | 7.11684 | − | 15.7908i | 0.537983 | − | 1.19368i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 4.10891i | − | 0.308845i | ||||||
\(178\) | −3.29456 | − | 1.07047i | −0.246937 | − | 0.0802348i | ||||
\(179\) | −12.8321 | + | 9.32310i | −0.959120 | + | 0.696841i | −0.952946 | − | 0.303140i | \(-0.901965\pi\) |
−0.00617360 | + | 0.999981i | \(0.501965\pi\) | |||||||
\(180\) | −6.90657 | − | 7.70572i | −0.514785 | − | 0.574351i | ||||
\(181\) | 2.12701 | + | 6.54627i | 0.158100 | + | 0.486580i | 0.998462 | − | 0.0554448i | \(-0.0176577\pi\) |
−0.840362 | + | 0.542025i | \(0.817658\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 15.9424 | − | 21.9429i | 1.17850 | − | 1.62207i | ||||
\(184\) | −5.45647 | + | 3.96435i | −0.402256 | + | 0.292256i | ||||
\(185\) | 21.3451 | + | 12.3885i | 1.56933 | + | 0.910820i | ||||
\(186\) | 4.74456 | 0.347888 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 9.10268i | 0.663881i | ||||||||
\(189\) | 1.00599 | − | 3.09610i | 0.0731747 | − | 0.225208i | ||||
\(190\) | −2.86757 | − | 6.48032i | −0.208035 | − | 0.470132i | ||||
\(191\) | 11.0251 | + | 8.01017i | 0.797745 | + | 0.579596i | 0.910252 | − | 0.414055i | \(-0.135888\pi\) |
−0.112507 | + | 0.993651i | \(0.535888\pi\) | |||||||
\(192\) | −8.09613 | + | 2.63059i | −0.584288 | + | 0.189847i | ||||
\(193\) | −22.2203 | + | 7.21983i | −1.59946 | + | 0.519695i | −0.966973 | − | 0.254880i | \(-0.917964\pi\) |
−0.632483 | + | 0.774575i | \(0.717964\pi\) | |||||||
\(194\) | 2.63370 | + | 1.91350i | 0.189089 | + | 0.137381i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.12029 | + | 6.52559i | −0.151449 | + | 0.466113i | ||||
\(197\) | − | 1.87953i | − | 0.133911i | −0.997756 | − | 0.0669554i | \(-0.978671\pi\) | ||
0.997756 | − | 0.0669554i | \(-0.0213285\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.00000 | 0.567105 | 0.283552 | − | 0.958957i | \(-0.408487\pi\) | ||||
0.283552 | + | 0.958957i | \(0.408487\pi\) | |||||||
\(200\) | −9.88693 | − | 8.98407i | −0.699112 | − | 0.635269i | ||||
\(201\) | 1.31685 | − | 0.956749i | 0.0928836 | − | 0.0674839i | ||||
\(202\) | 2.79417 | − | 3.84584i | 0.196597 | − | 0.270592i | ||||
\(203\) | −9.04212 | + | 2.93796i | −0.634632 | + | 0.206204i | ||||
\(204\) | 5.40444 | + | 16.6331i | 0.378386 | + | 1.16455i | ||||
\(205\) | 4.09608 | + | 4.57004i | 0.286083 | + | 0.319185i | ||||
\(206\) | −6.66119 | + | 4.83964i | −0.464107 | + | 0.337194i | ||||
\(207\) | −8.09613 | − | 2.63059i | −0.562720 | − | 0.182839i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 3.25544 | − | 15.1460i | 0.224647 | − | 1.04518i | ||||
\(211\) | 6.64050 | − | 20.4374i | 0.457151 | − | 1.40697i | −0.411440 | − | 0.911437i | \(-0.634974\pi\) |
0.868591 | − | 0.495530i | \(-0.165026\pi\) | |||||||
\(212\) | −2.55626 | − | 3.51838i | −0.175564 | − | 0.241644i | ||||
\(213\) | −10.5597 | + | 14.5342i | −0.723542 | + | 0.995870i | ||||
\(214\) | −1.62402 | − | 4.99822i | −0.111016 | − | 0.341671i | ||||
\(215\) | 7.70536 | − | 0.792137i | 0.525501 | − | 0.0540233i | ||||
\(216\) | −2.03134 | − | 1.47586i | −0.138215 | − | 0.100419i | ||||
\(217\) | −4.83032 | − | 6.64836i | −0.327903 | − | 0.451320i | ||||
\(218\) | −7.53510 | − | 2.44830i | −0.510341 | − | 0.165820i | ||||
\(219\) | −17.4891 | −1.18181 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 20.9938 | + | 6.82131i | 1.40901 | + | 0.457816i | ||||
\(223\) | 4.45131 | + | 6.12670i | 0.298081 | + | 0.410274i | 0.931618 | − | 0.363439i | \(-0.118397\pi\) |
−0.633537 | + | 0.773713i | \(0.718397\pi\) | |||||||
\(224\) | 16.3694 | + | 11.8931i | 1.09373 | + | 0.794639i | ||||
\(225\) | 1.83882 | − | 16.7608i | 0.122588 | − | 1.11739i | ||||
\(226\) | −3.93829 | − | 12.1208i | −0.261971 | − | 0.806264i | ||||
\(227\) | 5.76170 | − | 7.93031i | 0.382418 | − | 0.526353i | −0.573805 | − | 0.818992i | \(-0.694533\pi\) |
0.956223 | + | 0.292639i | \(0.0945334\pi\) | |||||||
\(228\) | 8.14459 | + | 11.2101i | 0.539389 | + | 0.742405i | ||||
\(229\) | −6.29538 | + | 19.3752i | −0.416010 | + | 1.28035i | 0.495333 | + | 0.868703i | \(0.335046\pi\) |
−0.911344 | + | 0.411646i | \(0.864954\pi\) | |||||||
\(230\) | −4.37228 | − | 0.939764i | −0.288300 | − | 0.0619662i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 7.33296i | 0.481433i | ||||||||
\(233\) | −16.1923 | − | 5.26119i | −1.06079 | − | 0.344672i | −0.273896 | − | 0.961759i | \(-0.588312\pi\) |
−0.786894 | + | 0.617088i | \(0.788312\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −11.0452 | + | 9.89970i | −0.720508 | + | 0.645785i | ||||
\(236\) | 0.690248 | + | 2.12436i | 0.0449313 | + | 0.138284i | ||||
\(237\) | 30.5970 | − | 9.94157i | 1.98749 | − | 0.645774i | ||||
\(238\) | −8.14459 | + | 11.2101i | −0.527935 | + | 0.726641i | ||||
\(239\) | 2.63370 | − | 1.91350i | 0.170360 | − | 0.123774i | −0.499338 | − | 0.866407i | \(-0.666423\pi\) |
0.669698 | + | 0.742633i | \(0.266423\pi\) | |||||||
\(240\) | 3.06447 | + | 1.77859i | 0.197811 | + | 0.114807i | ||||
\(241\) | −5.25544 | −0.338532 | −0.169266 | − | 0.985570i | \(-0.554140\pi\) | ||||
−0.169266 | + | 0.985570i | \(0.554140\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 22.3692i | 1.43498i | ||||||||
\(244\) | −4.55632 | + | 14.0229i | −0.291689 | + | 0.897725i | ||||
\(245\) | −10.2241 | + | 4.52419i | −0.653192 | + | 0.289040i | ||||
\(246\) | 4.44080 | + | 3.22643i | 0.283135 | + | 0.205709i | ||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −6.02808 | + | 1.95864i | −0.382783 | + | 0.124374i | ||||
\(249\) | 13.5466 | + | 9.84221i | 0.858483 | + | 0.623725i | ||||
\(250\) | 0.0604866 | − | 8.85783i | 0.00382551 | − | 0.560218i | ||||
\(251\) | −1.50898 | + | 4.64416i | −0.0952459 | + | 0.293137i | −0.987318 | − | 0.158757i | \(-0.949251\pi\) |
0.892072 | + | 0.451894i | \(0.149251\pi\) | |||||||
\(252\) | 16.0309i | 1.00985i | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −9.25544 | −0.580738 | ||||||||
\(255\) | −14.3050 | + | 24.6472i | −0.895813 | + | 1.54347i | ||||
\(256\) | 11.2317 | − | 8.16031i | 0.701982 | − | 0.510020i | ||||
\(257\) | 14.0797 | − | 19.3790i | 0.878265 | − | 1.20883i | −0.0986329 | − | 0.995124i | \(-0.531447\pi\) |
0.976898 | − | 0.213705i | \(-0.0685530\pi\) | |||||||
\(258\) | 6.58911 | − | 2.14093i | 0.410220 | − | 0.133289i | ||||
\(259\) | −11.8149 | − | 36.3624i | −0.734140 | − | 2.25945i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −7.48781 | + | 5.44021i | −0.463484 | + | 0.336741i | ||||
\(262\) | 6.58911 | + | 2.14093i | 0.407077 | + | 0.132267i | ||||
\(263\) | 14.1514i | 0.872610i | 0.899799 | + | 0.436305i | \(0.143713\pi\) | ||||
−0.899799 | + | 0.436305i | \(0.856287\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.48913 | − | 6.92820i | 0.0914762 | − | 0.425596i | ||||
\(266\) | −3.39247 | + | 10.4409i | −0.208005 | + | 0.640175i | ||||
\(267\) | 6.48745 | + | 8.92921i | 0.397026 | + | 0.546459i | ||||
\(268\) | −0.520108 | + | 0.715868i | −0.0317707 | + | 0.0437286i | ||||
\(269\) | −3.55033 | − | 10.9268i | −0.216468 | − | 0.666219i | −0.999046 | − | 0.0436672i | \(-0.986096\pi\) |
0.782578 | − | 0.622552i | \(-0.213904\pi\) | |||||||
\(270\) | −0.170259 | − | 1.65616i | −0.0103617 | − | 0.100791i | ||||
\(271\) | −7.67686 | − | 5.57757i | −0.466336 | − | 0.338813i | 0.329675 | − | 0.944094i | \(-0.393061\pi\) |
−0.796012 | + | 0.605281i | \(0.793061\pi\) | |||||||
\(272\) | −1.86278 | − | 2.56389i | −0.112948 | − | 0.155459i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.76631 | −0.106707 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 8.74456 | 0.526361 | ||||||||
\(277\) | −7.81561 | − | 2.53945i | −0.469595 | − | 0.152581i | 0.0646543 | − | 0.997908i | \(-0.479406\pi\) |
−0.534249 | + | 0.845327i | \(0.679406\pi\) | |||||||
\(278\) | 8.49133 | + | 11.6873i | 0.509276 | + | 0.700958i | ||||
\(279\) | −6.47214 | − | 4.70228i | −0.387477 | − | 0.281518i | ||||
\(280\) | 2.11644 | + | 20.5873i | 0.126482 | + | 1.23033i | ||||
\(281\) | 7.25854 | + | 22.3395i | 0.433008 | + | 1.33266i | 0.895114 | + | 0.445837i | \(0.147094\pi\) |
−0.462106 | + | 0.886825i | \(0.652906\pi\) | |||||||
\(282\) | −7.79785 | + | 10.7328i | −0.464355 | + | 0.639130i | ||||
\(283\) | 2.79417 | + | 3.84584i | 0.166096 | + | 0.228612i | 0.883949 | − | 0.467583i | \(-0.154875\pi\) |
−0.717853 | + | 0.696195i | \(0.754875\pi\) | |||||||
\(284\) | 3.01796 | − | 9.28831i | 0.179083 | − | 0.551160i | ||||
\(285\) | −4.74456 | + | 22.0742i | −0.281044 | + | 1.30756i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 9.50744i | − | 0.561207i | ||||||
\(288\) | 18.7333 | + | 6.08682i | 1.10387 | + | 0.358669i | ||||
\(289\) | 6.86785 | − | 4.98978i | 0.403991 | − | 0.293517i | ||||
\(290\) | −3.62078 | + | 3.24527i | −0.212620 | + | 0.190569i | ||||
\(291\) | −3.20521 | − | 9.86463i | −0.187893 | − | 0.578275i | ||||
\(292\) | 9.04212 | − | 2.93796i | 0.529150 | − | 0.171931i | ||||
\(293\) | −5.93507 | + | 8.16893i | −0.346731 | + | 0.477234i | −0.946392 | − | 0.323020i | \(-0.895302\pi\) |
0.599661 | + | 0.800254i | \(0.295302\pi\) | |||||||
\(294\) | −8.09017 | + | 5.87785i | −0.471828 | + | 0.342803i | ||||
\(295\) | −1.82701 | + | 3.14791i | −0.106373 | + | 0.183279i | ||||
\(296\) | −29.4891 | −1.71402 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | − | 9.10268i | − | 0.527304i | ||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 3.52397 | + | 16.9582i | 0.203457 | + | 0.979084i | ||||
\(301\) | −9.70820 | − | 7.05342i | −0.559572 | − | 0.406553i | ||||
\(302\) | −16.7533 | + | 5.44348i | −0.964044 | + | 0.313237i | ||||
\(303\) | −14.4047 | + | 4.68038i | −0.827530 | + | 0.268881i | ||||
\(304\) | −2.03134 | − | 1.47586i | −0.116505 | − | 0.0846461i | ||||
\(305\) | −21.9706 | + | 9.72210i | −1.25804 | + | 0.556686i | ||||
\(306\) | −4.16837 | + | 12.8289i | −0.238290 | + | 0.733381i | ||||
\(307\) | 28.1176i | 1.60475i | 0.596817 | + | 0.802377i | \(0.296432\pi\) | ||||
−0.596817 | + | 0.802377i | \(0.703568\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 26.2337 | 1.49238 | ||||||||
\(310\) | −3.63490 | − | 2.10965i | −0.206448 | − | 0.119820i | ||||
\(311\) | 14.1490 | − | 10.2798i | 0.802316 | − | 0.582917i | −0.109277 | − | 0.994011i | \(-0.534853\pi\) |
0.911593 | + | 0.411095i | \(0.134853\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −30.2643 | + | 9.83345i | −1.71064 | + | 0.555820i | −0.990439 | − | 0.137949i | \(-0.955949\pi\) |
−0.720198 | + | 0.693769i | \(0.755949\pi\) | |||||||
\(314\) | 1.32172 | + | 4.06785i | 0.0745892 | + | 0.229562i | ||||
\(315\) | −19.4519 | + | 17.4345i | −1.09599 | + | 0.982324i | ||||
\(316\) | −14.1490 | + | 10.2798i | −0.795943 | + | 0.578287i | ||||
\(317\) | −3.34677 | − | 1.08743i | −0.187973 | − | 0.0610763i | 0.213518 | − | 0.976939i | \(-0.431508\pi\) |
−0.401491 | + | 0.915863i | \(0.631508\pi\) | |||||||
\(318\) | − | 6.33830i | − | 0.355434i | ||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 7.37228 | + | 1.58457i | 0.412123 | + | 0.0885804i | ||||
\(321\) | −5.17435 | + | 15.9250i | −0.288804 | + | 0.888848i | ||||
\(322\) | 4.07230 | + | 5.60503i | 0.226940 | + | 0.312356i | ||||
\(323\) | 11.8701 | − | 16.3379i | 0.660473 | − | 0.909063i | ||||
\(324\) | −3.28415 | − | 10.1076i | −0.182453 | − | 0.561531i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −2.22040 | − | 1.61321i | −0.122976 | − | 0.0893476i | ||||
\(327\) | 14.8377 | + | 20.4223i | 0.820526 | + | 1.12936i | ||||
\(328\) | −6.97406 | − | 2.26601i | −0.385078 | − | 0.125119i | ||||
\(329\) | 22.9783 | 1.26683 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.11684 | 0.171317 | 0.0856586 | − | 0.996325i | \(-0.472701\pi\) | ||||
0.0856586 | + | 0.996325i | \(0.472701\pi\) | |||||||
\(332\) | −8.65717 | − | 2.81288i | −0.475124 | − | 0.154377i | ||||
\(333\) | −21.8775 | − | 30.1118i | −1.19888 | − | 1.65012i | ||||
\(334\) | −14.3381 | − | 10.4172i | −0.784544 | − | 0.570004i | ||||
\(335\) | −1.43428 | + | 0.147449i | −0.0783631 | + | 0.00805600i | ||||
\(336\) | −1.69623 | − | 5.22047i | −0.0925371 | − | 0.284800i | ||||
\(337\) | 7.38657 | − | 10.1667i | 0.402372 | − | 0.553818i | −0.558965 | − | 0.829191i | \(-0.688801\pi\) |
0.961337 | + | 0.275373i | \(0.0888015\pi\) | |||||||
\(338\) | 6.05403 | + | 8.33266i | 0.329296 | + | 0.453237i | ||||
\(339\) | −12.5479 | + | 38.6186i | −0.681510 | + | 2.09747i | ||||
\(340\) | 3.25544 | − | 15.1460i | 0.176551 | − | 0.821409i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 10.6873i | 0.577901i | ||||||||
\(343\) | −6.58911 | − | 2.14093i | −0.355779 | − | 0.115599i | ||||
\(344\) | −7.48781 | + | 5.44021i | −0.403715 | + | 0.293316i | ||||
\(345\) | 9.51022 | + | 10.6106i | 0.512013 | + | 0.571257i | ||||
\(346\) | −0.460165 | − | 1.41624i | −0.0247386 | − | 0.0761377i | ||||
\(347\) | −27.8635 | + | 9.05339i | −1.49579 | + | 0.486011i | −0.938787 | − | 0.344499i | \(-0.888049\pi\) |
−0.557003 | + | 0.830511i | \(0.688049\pi\) | |||||||
\(348\) | 5.58834 | − | 7.69168i | 0.299566 | − | 0.412318i | ||||
\(349\) | 6.05883 | − | 4.40200i | 0.324322 | − | 0.235634i | −0.413696 | − | 0.910415i | \(-0.635762\pi\) |
0.738017 | + | 0.674782i | \(0.235762\pi\) | |||||||
\(350\) | −9.22868 | + | 10.1561i | −0.493294 | + | 0.542868i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | − | 21.7244i | − | 1.15627i | −0.815941 | − | 0.578136i | \(-0.803780\pi\) | ||
0.815941 | − | 0.578136i | \(-0.196220\pi\) | |||||||
\(354\) | −1.00599 | + | 3.09610i | −0.0534675 | + | 0.164556i | ||||
\(355\) | 14.5526 | − | 6.43960i | 0.772373 | − | 0.341778i | ||||
\(356\) | −4.85410 | − | 3.52671i | −0.257267 | − | 0.186915i | ||||
\(357\) | 41.9877 | − | 13.6426i | 2.22222 | − | 0.722044i | ||||
\(358\) | 11.9517 | − | 3.88335i | 0.631668 | − | 0.205241i | ||||
\(359\) | −5.26741 | − | 3.82700i | −0.278003 | − | 0.201981i | 0.440043 | − | 0.897977i | \(-0.354963\pi\) |
−0.718046 | + | 0.695996i | \(0.754963\pi\) | |||||||
\(360\) | 8.15270 | + | 18.4240i | 0.429685 | + | 0.971030i | ||||
\(361\) | −0.927051 | + | 2.85317i | −0.0487922 | + | 0.150167i | ||||
\(362\) | − | 5.45343i | − | 0.286626i | ||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 13.3987 | + | 7.77648i | 0.701322 | + | 0.407040i | ||||
\(366\) | −17.3851 | + | 12.6310i | −0.908732 | + | 0.660232i | ||||
\(367\) | −14.1119 | + | 19.4234i | −0.736637 | + | 1.01389i | 0.262168 | + | 0.965022i | \(0.415563\pi\) |
−0.998805 | + | 0.0488717i | \(0.984437\pi\) | |||||||
\(368\) | −1.50702 | + | 0.489660i | −0.0785588 | + | 0.0255253i | ||||
\(369\) | −2.86009 | − | 8.80244i | −0.148890 | − | 0.458237i | ||||
\(370\) | −13.0507 | − | 14.5608i | −0.678473 | − | 0.756979i | ||||
\(371\) | −8.88159 | + | 6.45285i | −0.461109 | + | 0.335015i | ||||
\(372\) | 7.81561 | + | 2.53945i | 0.405221 | + | 0.131664i | ||||
\(373\) | 8.21782i | 0.425503i | 0.977106 | + | 0.212751i | \(0.0682424\pi\) | ||||
−0.977106 | + | 0.212751i | \(0.931758\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −16.7446 | + | 22.7190i | −0.864685 | + | 1.17321i | ||||
\(376\) | 5.47665 | − | 16.8554i | 0.282437 | − | 0.869251i | ||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −1.51604 | + | 2.08665i | −0.0779767 | + | 0.107326i | ||||
\(379\) | 1.96914 | + | 6.06040i | 0.101148 | + | 0.311302i | 0.988807 | − | 0.149199i | \(-0.0476697\pi\) |
−0.887659 | + | 0.460501i | \(0.847670\pi\) | |||||||
\(380\) | −1.25520 | − | 12.2097i | −0.0643904 | − | 0.626345i | ||||
\(381\) | 23.8572 | + | 17.3333i | 1.22224 | + | 0.888010i | ||||
\(382\) | −6.34636 | − | 8.73501i | −0.324708 | − | 0.446922i | ||||
\(383\) | −5.41483 | − | 1.75938i | −0.276685 | − | 0.0899003i | 0.167388 | − | 0.985891i | \(-0.446467\pi\) |
−0.444073 | + | 0.895991i | \(0.646467\pi\) | |||||||
\(384\) | −22.7446 | −1.16068 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 18.5109 | 0.942179 | ||||||||
\(387\) | −11.1102 | − | 3.60991i | −0.564762 | − | 0.183502i | ||||
\(388\) | 3.31428 | + | 4.56171i | 0.168257 | + | 0.231586i | ||||
\(389\) | −7.97805 | − | 5.79639i | −0.404503 | − | 0.293889i | 0.366870 | − | 0.930272i | \(-0.380429\pi\) |
−0.771373 | + | 0.636384i | \(0.780429\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.93829 | − | 12.1208i | −0.199168 | − | 0.612975i | ||||
\(392\) | 7.85227 | − | 10.8077i | 0.396599 | − | 0.545872i | ||||
\(393\) | −12.9749 | − | 17.8584i | −0.654497 | − | 0.900838i | ||||
\(394\) | −0.460165 | + | 1.41624i | −0.0231828 | + | 0.0713493i | ||||
\(395\) | −27.8614 | − | 5.98844i | −1.40186 | − | 0.301311i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 23.3639i | 1.17260i | 0.810095 | + | 0.586299i | \(0.199416\pi\) | ||||
−0.810095 | + | 0.586299i | \(0.800584\pi\) | |||||||
\(398\) | −6.02808 | − | 1.95864i | −0.302160 | − | 0.0981778i | ||||
\(399\) | 28.2980 | − | 20.5597i | 1.41667 | − | 1.02927i | ||||
\(400\) | −1.55691 | − | 2.72522i | −0.0778453 | − | 0.136261i | ||||
\(401\) | 3.55033 | + | 10.9268i | 0.177295 | + | 0.545659i | 0.999731 | − | 0.0231995i | \(-0.00738530\pi\) |
−0.822436 | + | 0.568858i | \(0.807385\pi\) | |||||||
\(402\) | −1.22650 | + | 0.398515i | −0.0611724 | + | 0.0198761i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 6.66119 | − | 4.83964i | 0.331407 | − | 0.240781i | ||||
\(405\) | 8.69280 | − | 14.9775i | 0.431949 | − | 0.744240i | ||||
\(406\) | 7.53262 | 0.373838 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | − | 34.0511i | − | 1.68578i | ||||||
\(409\) | 1.39394 | − | 4.29010i | 0.0689257 | − | 0.212132i | −0.910661 | − | 0.413155i | \(-0.864427\pi\) |
0.979586 | + | 0.201023i | \(0.0644267\pi\) | |||||||
\(410\) | −1.96756 | − | 4.44641i | −0.0971706 | − | 0.219593i | ||||
\(411\) | 4.55292 | + | 3.30789i | 0.224579 | + | 0.163166i | ||||
\(412\) | −13.5632 | + | 4.40694i | −0.668210 | + | 0.217114i | ||||
\(413\) | 5.36261 | − | 1.74242i | 0.263877 | − | 0.0857388i | ||||
\(414\) | 5.45647 | + | 3.96435i | 0.268171 | + | 0.194837i | ||||
\(415\) | −6.00202 | − | 13.5638i | −0.294628 | − | 0.665819i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | − | 46.0280i | − | 2.25400i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −22.9783 | −1.12256 | −0.561280 | − | 0.827626i | \(-0.689691\pi\) | ||||
−0.561280 | + | 0.827626i | \(0.689691\pi\) | |||||||
\(420\) | 13.4693 | − | 23.2073i | 0.657233 | − | 1.13240i | ||||
\(421\) | −25.4752 | + | 18.5088i | −1.24159 | + | 0.902066i | −0.997703 | − | 0.0677386i | \(-0.978422\pi\) |
−0.243884 | + | 0.969804i | \(0.578422\pi\) | |||||||
\(422\) | −10.0074 | + | 13.7740i | −0.487151 | + | 0.670506i | ||||
\(423\) | 21.2744 | − | 6.91246i | 1.03439 | − | 0.336095i | ||||
\(424\) | 2.61656 | + | 8.05295i | 0.127072 | + | 0.391086i | ||||
\(425\) | 21.9186 | − | 12.5220i | 1.06321 | − | 0.607408i | ||||
\(426\) | 11.5153 | − | 8.36635i | 0.557918 | − | 0.405351i | ||||
\(427\) | 35.3986 | + | 11.5017i | 1.71306 | + | 0.556606i | ||||
\(428\) | − | 9.10268i | − | 0.439995i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −6.00000 | − | 1.28962i | −0.289346 | − | 0.0621910i | ||||
\(431\) | −9.80289 | + | 30.1702i | −0.472189 | + | 1.45325i | 0.377524 | + | 0.926000i | \(0.376776\pi\) |
−0.849712 | + | 0.527247i | \(0.823224\pi\) | |||||||
\(432\) | −0.346739 | − | 0.477245i | −0.0166825 | − | 0.0229615i | ||||
\(433\) | 12.0758 | − | 16.6209i | 0.580325 | − | 0.798749i | −0.413406 | − | 0.910547i | \(-0.635661\pi\) |
0.993731 | + | 0.111798i | \(0.0356608\pi\) | |||||||
\(434\) | 2.01197 | + | 6.19221i | 0.0965777 | + | 0.297236i | ||||
\(435\) | 15.4107 | − | 1.58427i | 0.738887 | − | 0.0759602i | ||||
\(436\) | −11.1020 | − | 8.06607i | −0.531689 | − | 0.386295i | ||||
\(437\) | −5.93507 | − | 8.16893i | −0.283913 | − | 0.390773i | ||||
\(438\) | 13.1782 | + | 4.28187i | 0.629680 | + | 0.204595i | ||||
\(439\) | −1.48913 | −0.0710721 | −0.0355360 | − | 0.999368i | \(-0.511314\pi\) | ||||
−0.0355360 | + | 0.999368i | \(0.511314\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 16.8614 | 0.802924 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −8.87034 | − | 12.2090i | −0.421443 | − | 0.580066i | 0.544520 | − | 0.838748i | \(-0.316712\pi\) |
−0.965963 | + | 0.258682i | \(0.916712\pi\) | |||||||
\(444\) | 30.9317 | + | 22.4732i | 1.46795 | + | 1.06653i | ||||
\(445\) | −0.999811 | − | 9.72546i | −0.0473956 | − | 0.461031i | ||||
\(446\) | −1.85410 | − | 5.70634i | −0.0877943 | − | 0.270203i | ||||
\(447\) | −17.0472 | + | 23.4635i | −0.806305 | + | 1.10978i | ||||
\(448\) | −6.86646 | − | 9.45088i | −0.324410 | − | 0.446512i | ||||
\(449\) | 6.75555 | − | 20.7914i | 0.318814 | − | 0.981208i | −0.655342 | − | 0.755332i | \(-0.727476\pi\) |
0.974156 | − | 0.225876i | \(-0.0725245\pi\) | |||||||
\(450\) | −5.48913 | + | 12.1793i | −0.258760 | + | 0.574136i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | − | 22.0742i | − | 1.03828i | ||||||
\(453\) | 53.3784 | + | 17.3437i | 2.50793 | + | 0.814877i | ||||
\(454\) | −6.28308 | + | 4.56492i | −0.294879 | + | 0.214242i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −8.33674 | − | 25.6578i | −0.390404 | − | 1.20154i | ||||
\(457\) | −19.7673 | + | 6.42280i | −0.924677 | + | 0.300446i | −0.732384 | − | 0.680892i | \(-0.761592\pi\) |
−0.192293 | + | 0.981338i | \(0.561592\pi\) | |||||||
\(458\) | 9.48726 | − | 13.0581i | 0.443311 | − | 0.610165i | ||||
\(459\) | 3.83843 | − | 2.78878i | 0.179163 | − | 0.130169i | ||||
\(460\) | −6.69937 | − | 3.88824i | −0.312360 | − | 0.181290i | ||||
\(461\) | 32.2337 | 1.50127 | 0.750636 | − | 0.660716i | \(-0.229747\pi\) | ||||
0.750636 | + | 0.660716i | \(0.229747\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 20.1398i | 0.935976i | 0.883735 | + | 0.467988i | \(0.155021\pi\) | ||||
−0.883735 | + | 0.467988i | \(0.844979\pi\) | |||||||
\(464\) | −0.532379 | + | 1.63849i | −0.0247151 | + | 0.0760651i | ||||
\(465\) | 5.41857 | + | 12.2452i | 0.251280 | + | 0.567860i | ||||
\(466\) | 10.9129 | + | 7.92871i | 0.505532 | + | 0.367290i | ||||
\(467\) | 4.18832 | − | 1.36087i | 0.193813 | − | 0.0629735i | −0.210502 | − | 0.977593i | \(-0.567510\pi\) |
0.404315 | + | 0.914620i | \(0.367510\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.80709 | + | 1.31293i | 0.0834437 | + | 0.0606254i | ||||
\(470\) | 10.7464 | − | 4.75532i | 0.495694 | − | 0.219347i | ||||
\(471\) | 4.21120 | − | 12.9607i | 0.194042 | − | 0.597199i | ||||
\(472\) | − | 4.34896i | − | 0.200177i | ||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −25.4891 | −1.17075 | ||||||||
\(475\) | 13.4501 | − | 14.8018i | 0.617134 | − | 0.679154i | ||||
\(476\) | −19.4164 | + | 14.1068i | −0.889950 | + | 0.646586i | ||||
\(477\) | −6.28181 | + | 8.64617i | −0.287624 | + | 0.395881i | ||||
\(478\) | −2.45300 | + | 0.797029i | −0.112198 | + | 0.0364553i | ||||
\(479\) | 5.40444 | + | 16.6331i | 0.246935 | + | 0.759988i | 0.995312 | + | 0.0967144i | \(0.0308334\pi\) |
−0.748377 | + | 0.663273i | \(0.769167\pi\) | |||||||
\(480\) | −22.0053 | − | 24.5515i | −1.00440 | − | 1.12062i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 3.96002 | + | 1.28669i | 0.180374 | + | 0.0586071i | ||||
\(483\) | − | 22.0742i | − | 1.00441i | ||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.93070 | + | 8.98266i | −0.0876687 | + | 0.407882i | ||||
\(486\) | 5.47665 | − | 16.8554i | 0.248426 | − | 0.764576i | ||||
\(487\) | −13.3539 | − | 18.3801i | −0.605124 | − | 0.832881i | 0.391042 | − | 0.920373i | \(-0.372115\pi\) |
−0.996165 | + | 0.0874917i | \(0.972115\pi\) | |||||||
\(488\) | 16.8738 | − | 23.2248i | 0.763843 | − | 1.05134i | ||||
\(489\) | 2.70222 | + | 8.31657i | 0.122199 | + | 0.376088i | ||||
\(490\) | 8.81160 | − | 0.905863i | 0.398067 | − | 0.0409227i | ||||
\(491\) | 23.8572 | + | 17.3333i | 1.07666 | + | 0.782240i | 0.977098 | − | 0.212792i | \(-0.0682555\pi\) |
0.0995629 | + | 0.995031i | \(0.468256\pi\) | |||||||
\(492\) | 5.58834 | + | 7.69168i | 0.251942 | + | 0.346768i | ||||
\(493\) | −13.1782 | − | 4.28187i | −0.593517 | − | 0.192846i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.48913 | −0.0668637 | ||||||||
\(497\) | −23.4468 | − | 7.61834i | −1.05173 | − | 0.341729i | ||||
\(498\) | −7.79785 | − | 10.7328i | −0.349430 | − | 0.480949i | ||||
\(499\) | −16.1803 | − | 11.7557i | −0.724331 | − | 0.526258i | 0.163434 | − | 0.986554i | \(-0.447743\pi\) |
−0.887765 | + | 0.460297i | \(0.847743\pi\) | |||||||
\(500\) | 4.84064 | − | 14.5589i | 0.216480 | − | 0.651096i | ||||
\(501\) | 17.4494 | + | 53.7037i | 0.779581 | + | 2.39930i | ||||
\(502\) | 2.27406 | − | 3.12997i | 0.101496 | − | 0.139698i | ||||
\(503\) | −0.173369 | − | 0.238623i | −0.00773016 | − | 0.0106397i | 0.805134 | − | 0.593092i | \(-0.202093\pi\) |
−0.812865 | + | 0.582453i | \(0.802093\pi\) | |||||||
\(504\) | 9.64502 | − | 29.6843i | 0.429623 | − | 1.32224i | ||||
\(505\) | 13.1168 | + | 2.81929i | 0.583692 | + | 0.125457i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | − | 32.8164i | − | 1.45743i | ||||||
\(508\) | −15.2463 | − | 4.95382i | −0.676444 | − | 0.219790i | ||||
\(509\) | 22.9537 | − | 16.6768i | 1.01740 | − | 0.739187i | 0.0516541 | − | 0.998665i | \(-0.483551\pi\) |
0.965749 | + | 0.259478i | \(0.0835507\pi\) | |||||||
\(510\) | 16.8133 | − | 15.0696i | 0.744507 | − | 0.667295i | ||||
\(511\) | −7.41641 | − | 22.8254i | −0.328083 | − | 1.00973i | ||||
\(512\) | 6.67716 | − | 2.16954i | 0.295091 | − | 0.0958810i | ||||
\(513\) | 2.20952 | − | 3.04114i | 0.0975526 | − | 0.134270i | ||||
\(514\) | −15.3537 | + | 11.1551i | −0.677224 | + | 0.492032i | ||||
\(515\) | −20.0981 | − | 11.6647i | −0.885629 | − | 0.514009i | ||||
\(516\) | 12.0000 | 0.528271 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 30.2921i | 1.33096i | ||||||||
\(519\) | −1.46615 | + | 4.51235i | −0.0643569 | + | 0.198070i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −15.0525 | − | 10.9363i | −0.659464 | − | 0.479129i | 0.207018 | − | 0.978337i | \(-0.433624\pi\) |
−0.866482 | + | 0.499209i | \(0.833624\pi\) | |||||||
\(522\) | 6.97406 | − | 2.26601i | 0.305246 | − | 0.0991806i | ||||
\(523\) | −8.65717 | + | 2.81288i | −0.378552 | + | 0.122999i | −0.492111 | − | 0.870532i | \(-0.663775\pi\) |
0.113560 | + | 0.993531i | \(0.463775\pi\) | |||||||
\(524\) | 9.70820 | + | 7.05342i | 0.424105 | + | 0.308130i | ||||
\(525\) | 42.8083 | − | 8.89570i | 1.86831 | − | 0.388240i | ||||
\(526\) | 3.46468 | − | 10.6632i | 0.151067 | − | 0.464937i | ||||
\(527\) | − | 11.9769i | − | 0.521721i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 16.6277 | 0.722944 | ||||||||
\(530\) | −2.81830 | + | 4.85589i | −0.122419 | + | 0.210926i | ||||
\(531\) | 4.44080 | − | 3.22643i | 0.192714 | − | 0.140015i | ||||
\(532\) | −11.1767 | + | 15.3834i | −0.484570 | + | 0.666954i | ||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −2.70222 | − | 8.31657i | −0.116936 | − | 0.359893i | ||||
\(535\) | 11.0452 | − | 9.89970i | 0.477525 | − | 0.428001i | ||||
\(536\) | 1.39379 | − | 1.01264i | 0.0602024 | − | 0.0437396i | ||||
\(537\) | −38.0799 | − | 12.3729i | −1.64327 | − | 0.533930i | ||||
\(538\) | 9.10268i | 0.392445i | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0.605969 | − | 2.81929i | 0.0260768 | − | 0.121323i | ||||
\(541\) | 0.0722135 | − | 0.222250i | 0.00310470 | − | 0.00955529i | −0.949492 | − | 0.313791i | \(-0.898401\pi\) |
0.952597 | + | 0.304235i | \(0.0984010\pi\) | |||||||
\(542\) | 4.41903 | + | 6.08228i | 0.189814 | + | 0.261256i | ||||
\(543\) | −10.2130 | + | 14.0570i | −0.438282 | + | 0.603244i | ||||
\(544\) | 9.11264 | + | 28.0458i | 0.390701 | + | 1.20245i | ||||
\(545\) | −2.28670 | − | 22.2434i | −0.0979516 | − | 0.952805i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.35042 | − | 7.36423i | −0.228768 | − | 0.314872i | 0.679167 | − | 0.733984i | \(-0.262341\pi\) |
−0.907934 | + | 0.419112i | \(0.862341\pi\) | |||||||
\(548\) | −2.90961 | − | 0.945389i | −0.124292 | − | 0.0403850i | ||||
\(549\) | 36.2337 | 1.54642 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −10.9783 | −0.467689 | ||||||||
\(552\) | −16.1923 | − | 5.26119i | −0.689189 | − | 0.223931i | ||||
\(553\) | 25.9498 | + | 35.7169i | 1.10350 | + | 1.51884i | ||||
\(554\) | 5.26741 | + | 3.82700i | 0.223791 | + | 0.162593i | ||||
\(555\) | 6.37108 | + | 61.9734i | 0.270437 | + | 2.63062i | ||||
\(556\) | 7.73215 | + | 23.7971i | 0.327916 | + | 1.00922i | ||||
\(557\) | −18.9100 | + | 26.0274i | −0.801242 | + | 1.10281i | 0.191375 | + | 0.981517i | \(0.438705\pi\) |
−0.992616 | + | 0.121297i | \(0.961295\pi\) | |||||||
\(558\) | 3.72556 | + | 5.12779i | 0.157715 | + | 0.217077i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −1.02175 | + | 4.75372i | −0.0431768 | + | 0.200881i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | − | 18.6101i | − | 0.785021i | ||||||
\(563\) | −11.6712 | − | 3.79220i | −0.491883 | − | 0.159822i | 0.0525644 | − | 0.998618i | \(-0.483261\pi\) |
−0.544447 | + | 0.838795i | \(0.683261\pi\) | |||||||
\(564\) | −18.5898 | + | 13.5063i | −0.782772 | + | 0.568717i | ||||
\(565\) | 26.7848 | − | 24.0070i | 1.12685 | − | 1.00998i | ||||
\(566\) | −1.16385 | − | 3.58198i | −0.0489205 | − | 0.150562i | ||||
\(567\) | −25.5149 | + | 8.29029i | −1.07153 | + | 0.348160i | ||||
\(568\) | −11.1767 | + | 15.3834i | −0.468963 | + | 0.645472i | ||||
\(569\) | 31.3450 | − | 22.7735i | 1.31405 | − | 0.954714i | 0.314065 | − | 0.949401i | \(-0.398309\pi\) |
0.999986 | − | 0.00531266i | \(-0.00169108\pi\) | |||||||
\(570\) | 8.97951 | − | 15.4715i | 0.376110 | − | 0.648031i | ||||
\(571\) | 21.4891 | 0.899292 | 0.449646 | − | 0.893207i | \(-0.351550\pi\) | ||||
0.449646 | + | 0.893207i | \(0.351550\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 34.4010i | 1.43712i | ||||||||
\(574\) | −2.32771 | + | 7.16395i | −0.0971567 | + | 0.299018i | ||||
\(575\) | −2.56797 | − | 12.3577i | −0.107092 | − | 0.515351i | ||||
\(576\) | −9.20037 | − | 6.68446i | −0.383349 | − | 0.278519i | ||||
\(577\) | −30.2643 | + | 9.83345i | −1.25992 | + | 0.409372i | −0.861465 | − | 0.507817i | \(-0.830453\pi\) |
−0.398453 | + | 0.917189i | \(0.630453\pi\) | |||||||
\(578\) | −6.39664 | + | 2.07839i | −0.266065 | + | 0.0864498i | ||||
\(579\) | −47.7144 | − | 34.6665i | −1.98294 | − | 1.44069i | ||||
\(580\) | −7.70141 | + | 3.40791i | −0.319784 | + | 0.141506i | ||||
\(581\) | −7.10067 | + | 21.8536i | −0.294585 | + | 0.906641i | ||||
\(582\) | 8.21782i | 0.340640i | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −18.5109 | −0.765985 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 6.47214 | − | 4.70228i | 0.267361 | − | 0.194249i | ||||
\(587\) | −16.4626 | + | 22.6588i | −0.679482 | + | 0.935227i | −0.999928 | − | 0.0120400i | \(-0.996167\pi\) |
0.320445 | + | 0.947267i | \(0.396167\pi\) | |||||||
\(588\) | −16.4728 | + | 5.35233i | −0.679326 | + | 0.220726i | ||||
\(589\) | −2.93230 | − | 9.02469i | −0.120823 | − | 0.371856i | ||||
\(590\) | 2.14738 | − | 1.92467i | 0.0884061 | − | 0.0792376i | ||||
\(591\) | 3.83843 | − | 2.78878i | 0.157892 | − | 0.114715i | ||||
\(592\) | −6.58911 | − | 2.14093i | −0.270811 | − | 0.0879918i | ||||
\(593\) | 43.5586i | 1.78874i | 0.447333 | + | 0.894368i | \(0.352374\pi\) | ||||
−0.447333 | + | 0.894368i | \(0.647626\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −38.2337 | − | 8.21782i | −1.56743 | − | 0.336898i | ||||
\(596\) | 4.87206 | − | 14.9947i | 0.199567 | − | 0.614205i | ||||
\(597\) | 11.8701 | + | 16.3379i | 0.485813 | + | 0.668664i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 10.8089 | + | 33.2663i | 0.441639 | + | 1.35922i | 0.886128 | + | 0.463440i | \(0.153385\pi\) |
−0.444490 | + | 0.895784i | \(0.646615\pi\) | |||||||
\(600\) | 3.67763 | − | 33.5217i | 0.150139 | − | 1.36852i | ||||
\(601\) | 24.6486 | + | 17.9083i | 1.00544 | + | 0.730494i | 0.963247 | − | 0.268616i | \(-0.0865662\pi\) |
0.0421910 | + | 0.999110i | \(0.486566\pi\) | |||||||
\(602\) | 5.58834 | + | 7.69168i | 0.227764 | + | 0.313490i | ||||
\(603\) | 2.06805 | + | 0.671952i | 0.0842177 | + | 0.0273640i | ||||
\(604\) | −30.5109 | −1.24147 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 12.0000 | 0.487467 | ||||||||
\(607\) | −3.29456 | − | 1.07047i | −0.133722 | − | 0.0434489i | 0.241391 | − | 0.970428i | \(-0.422396\pi\) |
−0.375113 | + | 0.926979i | \(0.622396\pi\) | |||||||
\(608\) | 13.7329 | + | 18.9018i | 0.556944 | + | 0.766567i | ||||
\(609\) | −19.4164 | − | 14.1068i | −0.786793 | − | 0.571638i | ||||
\(610\) | 18.9354 | − | 1.94662i | 0.766670 | − | 0.0788163i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −13.7329 | + | 18.9018i | −0.555121 | + | 0.764058i | ||||
\(613\) | 25.9498 | + | 35.7169i | 1.04810 | + | 1.44259i | 0.890442 | + | 0.455097i | \(0.150395\pi\) |
0.157661 | + | 0.987493i | \(0.449605\pi\) | |||||||
\(614\) | 6.88403 | − | 21.1869i | 0.277817 | − | 0.855032i | ||||
\(615\) | −3.25544 | + | 15.1460i | −0.131272 | + | 0.610747i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 3.75906i | − | 0.151334i | −0.997133 | − | 0.0756669i | \(-0.975891\pi\) | ||
0.997133 | − | 0.0756669i | \(-0.0241086\pi\) | |||||||
\(618\) | −19.7673 | − | 6.42280i | −0.795159 | − | 0.258363i | ||||
\(619\) | −2.52158 | + | 1.83203i | −0.101351 | + | 0.0736357i | −0.637306 | − | 0.770610i | \(-0.719951\pi\) |
0.535956 | + | 0.844246i | \(0.319951\pi\) | |||||||
\(620\) | −4.85853 | − | 5.42071i | −0.195123 | − | 0.217701i | ||||
\(621\) | −0.733075 | − | 2.25617i | −0.0294173 | − | 0.0905371i | ||||
\(622\) | −13.1782 | + | 4.28187i | −0.528399 | + | 0.171687i | ||||
\(623\) | −8.90261 | + | 12.2534i | −0.356676 | + | 0.490922i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 22.9303 | − | 9.96006i | 0.917211 | − | 0.398402i | ||||
\(626\) | 25.2119 | 1.00767 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 7.40830i | 0.295624i | ||||||||
\(629\) | 17.2193 | − | 52.9955i | 0.686578 | − | 2.11307i | ||||
\(630\) | 18.9257 | − | 8.37468i | 0.754016 | − | 0.333655i | ||||
\(631\) | 13.4345 | + | 9.76074i | 0.534819 | + | 0.388569i | 0.822157 | − | 0.569260i | \(-0.192770\pi\) |
−0.287338 | + | 0.957829i | \(0.592770\pi\) | |||||||
\(632\) | 32.3845 | − | 10.5224i | 1.28819 | − | 0.418557i | ||||
\(633\) | 51.5908 | − | 16.7629i | 2.05055 | − | 0.666265i | ||||
\(634\) | 2.25559 | + | 1.63878i | 0.0895809 | + | 0.0650843i | ||||
\(635\) | −10.5703 | − | 23.8874i | −0.419468 | − | 0.947941i | ||||
\(636\) | 3.39247 | − | 10.4409i | 0.134520 | − | 0.414010i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −24.0000 | −0.949425 | ||||||||
\(640\) | 17.4250 | + | 10.1133i | 0.688785 | + | 0.399763i | ||||
\(641\) | 15.8792 | − | 11.5369i | 0.627189 | − | 0.455680i | −0.228236 | − | 0.973606i | \(-0.573296\pi\) |
0.855425 | + | 0.517926i | \(0.173296\pi\) | |||||||
\(642\) | 7.79785 | − | 10.7328i | 0.307757 | − | 0.423591i | ||||
\(643\) | 37.2383 | − | 12.0995i | 1.46854 | − | 0.477156i | 0.537871 | − | 0.843027i | \(-0.319229\pi\) |
0.930665 | + | 0.365871i | \(0.119229\pi\) | |||||||
\(644\) | 3.70820 | + | 11.4127i | 0.146124 | + | 0.449723i | ||||
\(645\) | 13.0507 | + | 14.5608i | 0.513871 | + | 0.573330i | ||||
\(646\) | −12.9443 | + | 9.40456i | −0.509286 | + | 0.370018i | ||||
\(647\) | 39.0259 | + | 12.6803i | 1.53426 | + | 0.498513i | 0.949787 | − | 0.312897i | \(-0.101299\pi\) |
0.584478 | + | 0.811410i | \(0.301299\pi\) | |||||||
\(648\) | 20.6920i | 0.812860i | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 6.41042 | − | 19.7293i | 0.251244 | − | 0.773250i | ||||
\(652\) | −2.79417 | − | 3.84584i | −0.109428 | − | 0.150615i | ||||
\(653\) | −15.0433 | + | 20.7054i | −0.588691 | + | 0.810263i | −0.994615 | − | 0.103644i | \(-0.966950\pi\) |
0.405924 | + | 0.913907i | \(0.366950\pi\) | |||||||
\(654\) | −6.18034 | − | 19.0211i | −0.241670 | − | 0.743785i | ||||
\(655\) | 1.99962 | + | 19.4509i | 0.0781317 | + | 0.760010i | ||||
\(656\) | −1.39379 | − | 1.01264i | −0.0544182 | − | 0.0395371i | ||||
\(657\) | −13.7329 | − | 18.9018i | −0.535772 | − | 0.737428i | ||||
\(658\) | −17.3143 | − | 5.62577i | −0.674983 | − | 0.219315i | ||||
\(659\) | 32.7446 | 1.27555 | 0.637774 | − | 0.770224i | \(-0.279856\pi\) | ||||
0.637774 | + | 0.770224i | \(0.279856\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 35.3505 | 1.37498 | 0.687488 | − | 0.726196i | \(-0.258713\pi\) | ||||
0.687488 | + | 0.726196i | \(0.258713\pi\) | |||||||
\(662\) | −2.34857 | − | 0.763097i | −0.0912799 | − | 0.0296586i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 14.3381 | + | 10.4172i | 0.556425 | + | 0.404266i | ||||
\(665\) | −30.8214 | + | 3.16855i | −1.19520 | + | 0.122871i | ||||
\(666\) | 9.11264 | + | 28.0458i | 0.353108 | + | 1.08675i | ||||
\(667\) | −4.07230 | + | 5.60503i | −0.157680 | + | 0.217028i | ||||
\(668\) | −18.0431 | − | 24.8342i | −0.698110 | − | 0.960866i | ||||
\(669\) | −5.90743 | + | 18.1812i | −0.228394 | + | 0.702926i | ||||
\(670\) | 1.11684 | + | 0.240051i | 0.0431474 | + | 0.00927397i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 51.0767i | 1.97033i | ||||||||
\(673\) | −1.22650 | − | 0.398515i | −0.0472782 | − | 0.0153616i | 0.285282 | − | 0.958443i | \(-0.407913\pi\) |
−0.332561 | + | 0.943082i | \(0.607913\pi\) | |||||||
\(674\) | −8.05498 | + | 5.85228i | −0.310266 | + | 0.225422i | ||||
\(675\) | 4.07995 | − | 2.33086i | 0.157037 | − | 0.0897149i | ||||
\(676\) | 5.51276 | + | 16.9665i | 0.212029 | + | 0.652559i | ||||
\(677\) | 41.3222 | − | 13.4264i | 1.58814 | − | 0.516019i | 0.624004 | − | 0.781421i | \(-0.285505\pi\) |
0.964138 | + | 0.265403i | \(0.0855049\pi\) | |||||||
\(678\) | 18.9100 | − | 26.0274i | 0.726233 | − | 0.999575i | ||||
\(679\) | 11.5153 | − | 8.36635i | 0.441916 | − | 0.321071i | ||||
\(680\) | −15.1407 | + | 26.0872i | −0.580620 | + | 1.00040i | ||||
\(681\) | 24.7446 | 0.948214 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 44.4434i | − | 1.70058i | −0.526314 | − | 0.850290i | \(-0.676427\pi\) | ||
0.526314 | − | 0.850290i | \(-0.323573\pi\) | |||||||
\(684\) | −5.72017 | + | 17.6049i | −0.218716 | + | 0.673140i | ||||
\(685\) | −2.01723 | − | 4.55868i | −0.0770745 | − | 0.174178i | ||||
\(686\) | 4.44080 | + | 3.22643i | 0.169550 | + | 0.123186i | ||||
\(687\) | −48.9095 | + | 15.8917i | −1.86601 | + | 0.606305i | ||||
\(688\) | −2.06805 | + | 0.671952i | −0.0788438 | + | 0.0256179i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −4.56824 | − | 10.3236i | −0.173910 | − | 0.393013i | ||||
\(691\) | 4.98710 | − | 15.3487i | 0.189718 | − | 0.583893i | −0.810279 | − | 0.586044i | \(-0.800685\pi\) |
0.999998 | + | 0.00215105i | \(0.000684700\pi\) | |||||||
\(692\) | − | 2.57924i | − | 0.0980480i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 23.2119 | 0.881113 | ||||||||
\(695\) | −20.4662 | + | 35.2629i | −0.776327 | + | 1.33760i | ||||
\(696\) | −14.9756 | + | 10.8804i | −0.567649 | + | 0.412421i | ||||
\(697\) | 8.14459 | − | 11.2101i | 0.308498 | − | 0.424612i | ||||
\(698\) | −5.64313 | + | 1.83356i | −0.213596 | + | 0.0694014i | ||||
\(699\) | −13.2810 | − | 40.8747i | −0.502334 | − | 1.54602i | ||||
\(700\) | −20.6381 | + | 11.7905i | −0.780047 | + | 0.445638i | ||||
\(701\) | −28.7113 | + | 20.8600i | −1.08441 | + | 0.787871i | −0.978447 | − | 0.206499i | \(-0.933793\pi\) |
−0.105964 | + | 0.994370i | \(0.533793\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 44.1485i | − | 1.66509i | ||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −36.6060 | − | 7.86797i | −1.37866 | − | 0.296325i | ||||
\(706\) | −5.31878 | + | 16.3695i | −0.200175 | + | 0.616075i | ||||
\(707\) | −12.2169 | − | 16.8151i | −0.459463 | − | 0.632397i | ||||
\(708\) | −3.31428 | + | 4.56171i | −0.124558 | + | 0.171440i | ||||
\(709\) | −12.7058 | − | 39.1044i | −0.477176 | − | 1.46860i | −0.843000 | − | 0.537914i | \(-0.819213\pi\) |
0.365823 | − | 0.930684i | \(-0.380787\pi\) | |||||||
\(710\) | −12.5422 | + | 1.28938i | −0.470699 | + | 0.0483894i | ||||
\(711\) | 34.7701 | + | 25.2620i | 1.30398 | + | 0.947398i | ||||
\(712\) | 6.86646 | + | 9.45088i | 0.257332 | + | 0.354187i | ||||
\(713\) | −5.69534 | − | 1.85053i | −0.213292 | − | 0.0693029i | ||||
\(714\) | −34.9783 | −1.30903 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 21.7663 | 0.813445 | ||||||||
\(717\) | 7.81561 | + | 2.53945i | 0.291879 | + | 0.0948374i | ||||
\(718\) | 3.03208 | + | 4.17330i | 0.113156 | + | 0.155746i | ||||
\(719\) | 17.2729 | + | 12.5495i | 0.644172 | + | 0.468018i | 0.861281 | − | 0.508129i | \(-0.169663\pi\) |
−0.217109 | + | 0.976147i | \(0.569663\pi\) | |||||||
\(720\) | 0.484059 | + | 4.70859i | 0.0180398 | + | 0.175479i | ||||
\(721\) | 11.1246 | + | 34.2380i | 0.414302 | + | 1.27509i | ||||
\(722\) | 1.39708 | − | 1.92292i | 0.0519941 | − | 0.0715637i | ||||
\(723\) | −7.79785 | − | 10.7328i | −0.290005 | − | 0.399158i | ||||
\(724\) | 2.91886 | − | 8.98332i | 0.108479 | − | 0.333863i | ||||
\(725\) | −12.5109 | − | 5.63858i | −0.464642 | − | 0.209412i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 15.7908i | − | 0.585650i | −0.956166 | − | 0.292825i | \(-0.905405\pi\) | ||
0.956166 | − | 0.292825i | \(-0.0945953\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −26.8866 | + | 19.5343i | −0.995801 | + | 0.723492i | ||||
\(730\) | −8.19216 | − | 9.14007i | −0.303206 | − | 0.338289i | ||||
\(731\) | −5.40444 | − | 16.6331i | −0.199890 | − | 0.615199i | ||||
\(732\) | −35.3986 | + | 11.5017i | −1.30837 | + | 0.425115i | ||||
\(733\) | 17.8052 | − | 24.5068i | 0.657651 | − | 0.905179i | −0.341750 | − | 0.939791i | \(-0.611020\pi\) |
0.999401 | + | 0.0346121i | \(0.0110196\pi\) | |||||||
\(734\) | 15.3889 | − | 11.1807i | 0.568015 | − | 0.412687i | ||||
\(735\) | −24.4096 | − | 14.1671i | −0.900362 | − | 0.522560i | ||||
\(736\) | 14.7446 | 0.543492 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 7.33296i | 0.269930i | ||||||||
\(739\) | 0.230083 | − | 0.708121i | 0.00846372 | − | 0.0260487i | −0.946735 | − | 0.322012i | \(-0.895641\pi\) |
0.955199 | + | 0.295964i | \(0.0956407\pi\) | |||||||
\(740\) | −13.7047 | − | 30.9708i | −0.503795 | − | 1.13851i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 8.27222 | − | 2.68781i | 0.303683 | − | 0.0986725i | ||||
\(743\) | 20.7133 | − | 6.73017i | 0.759898 | − | 0.246906i | 0.0966632 | − | 0.995317i | \(-0.469183\pi\) |
0.663235 | + | 0.748411i | \(0.269183\pi\) | |||||||
\(744\) | −12.9443 | − | 9.40456i | −0.474560 | − | 0.344788i | ||||
\(745\) | 23.4931 | − | 10.3958i | 0.860722 | − | 0.380873i | ||||
\(746\) | 2.01197 | − | 6.19221i | 0.0736635 | − | 0.226713i | ||||
\(747\) | 22.3692i | 0.818446i | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −22.9783 | −0.839607 | ||||||||
\(750\) | 18.1795 | − | 13.0194i | 0.663821 | − | 0.475403i | ||||
\(751\) | −17.4972 | + | 12.7125i | −0.638482 | + | 0.463884i | −0.859328 | − | 0.511425i | \(-0.829118\pi\) |
0.220847 | + | 0.975309i | \(0.429118\pi\) | |||||||
\(752\) | 2.44743 | − | 3.36860i | 0.0892485 | − | 0.122840i | ||||
\(753\) | −11.7234 | + | 3.80917i | −0.427225 | + | 0.138814i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −33.1823 | − | 37.0218i | −1.20763 | − | 1.34736i | ||||
\(756\) | −3.61418 | + | 2.62586i | −0.131447 | + | 0.0955015i | ||||
\(757\) | −37.8516 | − | 12.2987i | −1.37574 | − | 0.447005i | −0.474473 | − | 0.880270i | \(-0.657361\pi\) |
−0.901266 | + | 0.433266i | \(0.857361\pi\) | |||||||
\(758\) | − | 5.04868i | − | 0.183376i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5.02175 | + | 23.3639i | −0.182158 | + | 0.847496i | ||||
\(761\) | −6.56829 | + | 20.2151i | −0.238100 | + | 0.732798i | 0.758595 | + | 0.651563i | \(0.225886\pi\) |
−0.996695 | + | 0.0812347i | \(0.974114\pi\) | |||||||
\(762\) | −13.7329 | − | 18.9018i | −0.497491 | − | 0.684738i | ||||
\(763\) | −20.3615 | + | 28.0252i | −0.737135 | + | 1.01458i | ||||
\(764\) | −5.77895 | − | 17.7858i | −0.209075 | − | 0.643467i | ||||
\(765\) | −37.8707 | + | 3.89324i | −1.36922 | + | 0.140760i | ||||
\(766\) | 3.64937 | + | 2.65143i | 0.131857 | + | 0.0957999i | ||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 33.3305 | + | 10.8297i | 1.20271 | + | 0.390785i | ||||
\(769\) | −51.2119 | −1.84675 | −0.923375 | − | 0.383900i | \(-0.874581\pi\) | ||||
−0.923375 | + | 0.383900i | \(0.874581\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 60.4674 | 2.17768 | ||||||||
\(772\) | 30.4926 | + | 9.90763i | 1.09745 | + | 0.356584i | ||||
\(773\) | −18.1520 | − | 24.9840i | −0.652881 | − | 0.898613i | 0.346339 | − | 0.938109i | \(-0.387425\pi\) |
−0.999220 | + | 0.0394963i | \(0.987425\pi\) | |||||||
\(774\) | 7.48781 | + | 5.44021i | 0.269144 | + | 0.195544i | ||||
\(775\) | 1.29354 | − | 11.7907i | 0.0464654 | − | 0.423533i | ||||
\(776\) | −3.39247 | − | 10.4409i | −0.121782 | − | 0.374808i | ||||
\(777\) | 56.7299 | − | 78.0821i | 2.03518 | − | 2.80118i | ||||
\(778\) | 4.59240 | + | 6.32090i | 0.164646 | + | 0.226615i | ||||
\(779\) | 3.39247 | − | 10.4409i | 0.121548 | − | 0.374085i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 10.0974i | 0.361081i | ||||||||
\(783\) | −2.45300 | − | 0.797029i | −0.0876632 | − | 0.0284835i | ||||
\(784\) | 2.53918 | − | 1.84482i | 0.0906848 | − | 0.0658864i | ||||
\(785\) | −8.98922 | + | 8.05696i | −0.320839 | + | 0.287565i | ||||
\(786\) | 5.40444 | + | 16.6331i | 0.192770 | + | 0.593285i | ||||
\(787\) | 4.52106 | − | 1.46898i | 0.161158 | − | 0.0523635i | −0.227327 | − | 0.973819i | \(-0.572999\pi\) |
0.388485 | + | 0.921455i | \(0.372999\pi\) | |||||||
\(788\) | −1.51604 | + | 2.08665i | −0.0540067 | + | 0.0743338i | ||||
\(789\) | −28.9004 | + | 20.9973i | −1.02888 | + | 0.747525i | ||||
\(790\) | 19.5277 | + | 11.3337i | 0.694764 | + | 0.403234i | ||||
\(791\) | −55.7228 | −1.98128 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 5.72017 | − | 17.6049i | 0.203001 | − | 0.624774i | ||||
\(795\) | 16.3585 | − | 7.23871i | 0.580177 | − | 0.256731i | ||||
\(796\) | −8.88159 | − | 6.45285i | −0.314800 | − | 0.228715i | ||||
\(797\) | 29.7032 | − | 9.65116i | 1.05214 | − | 0.341862i | 0.268633 | − | 0.963242i | \(-0.413428\pi\) |
0.783509 | + | 0.621381i | \(0.213428\pi\) | |||||||
\(798\) | −26.3565 | + | 8.56373i | −0.933008 | + | 0.303153i | ||||
\(799\) | 27.0933 | + | 19.6844i | 0.958491 | + | 0.696385i | ||||
\(800\) | 5.94191 | + | 28.5940i | 0.210078 | + | 1.01095i | ||||
\(801\) | −4.55632 | + | 14.0229i | −0.160990 | + | 0.495475i | ||||
\(802\) | − | 9.10268i | − | 0.321427i | ||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −2.23369 | −0.0787761 | ||||||||
\(805\) | −9.81524 | + | 16.9115i | −0.345942 | + | 0.596051i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 17.0472 | − | 23.4635i | 0.600090 | − | 0.825953i | ||||
\(808\) | −15.2463 | + | 4.95382i | −0.536362 | + | 0.174275i | ||||
\(809\) | −6.56829 | − | 20.2151i | −0.230929 | − | 0.710726i | −0.997635 | − | 0.0687282i | \(-0.978106\pi\) |
0.766707 | − | 0.641998i | \(-0.221894\pi\) | |||||||
\(810\) | −10.2171 | + | 9.15746i | −0.358991 | + | 0.321760i | ||||
\(811\) | 27.6956 | − | 20.1221i | 0.972525 | − | 0.706581i | 0.0164996 | − | 0.999864i | \(-0.494748\pi\) |
0.956026 | + | 0.293283i | \(0.0947478\pi\) | |||||||
\(812\) | 12.4083 | + | 4.03171i | 0.435447 | + | 0.141485i | ||||
\(813\) | − | 23.9538i | − | 0.840095i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.62772 | − | 7.57301i | 0.0570165 | − | 0.265271i | ||||
\(816\) | 2.47214 | − | 7.60845i | 0.0865421 | − | 0.266349i | ||||
\(817\) | −8.14459 | − | 11.2101i | −0.284943 | − | 0.392191i | ||||
\(818\) | −2.10069 | + | 2.89135i | −0.0734489 | + | 0.101094i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.861244 | − | 8.37758i | −0.0300759 | − | 0.292558i | ||||
\(821\) | −14.5623 | − | 10.5801i | −0.508228 | − | 0.369249i | 0.303923 | − | 0.952697i | \(-0.401703\pi\) |
−0.812151 | + | 0.583447i | \(0.801703\pi\) | |||||||
\(822\) | −2.62080 | − | 3.60722i | −0.0914108 | − | 0.125816i | ||||
\(823\) | 31.8757 | + | 10.3570i | 1.11112 | + | 0.361024i | 0.806371 | − | 0.591410i | \(-0.201428\pi\) |
0.304746 | + | 0.952434i | \(0.401428\pi\) | |||||||
\(824\) | 27.7663 | 0.967285 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −4.46738 | −0.155440 | ||||||||
\(827\) | 17.1382 | + | 5.56855i | 0.595955 | + | 0.193638i | 0.591436 | − | 0.806352i | \(-0.298561\pi\) |
0.00451961 | + | 0.999990i | \(0.498561\pi\) | |||||||
\(828\) | 6.86646 | + | 9.45088i | 0.238626 | + | 0.328441i | ||||
\(829\) | 25.3631 | + | 18.4274i | 0.880897 | + | 0.640009i | 0.933489 | − | 0.358607i | \(-0.116748\pi\) |
−0.0525914 | + | 0.998616i | \(0.516748\pi\) | |||||||
\(830\) | 1.20176 | + | 11.6899i | 0.0417138 | + | 0.405763i | ||||
\(831\) | −6.41042 | − | 19.7293i | −0.222375 | − | 0.684400i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 14.8377 | + | 20.4223i | 0.514095 | + | 0.707592i | ||||
\(834\) | −11.2690 | + | 34.6825i | −0.390215 | + | 1.20096i | ||||
\(835\) | 10.5109 | − | 48.9022i | 0.363744 | − | 1.69233i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − | 2.22938i | − | 0.0770588i | ||||||
\(838\) | 17.3143 | + | 5.62577i | 0.598114 | + | 0.194339i | ||||
\(839\) | 5.75765 | − | 4.18318i | 0.198776 | − | 0.144419i | −0.483945 | − | 0.875098i | \(-0.660796\pi\) |
0.682721 | + | 0.730679i | \(0.260796\pi\) | |||||||
\(840\) | −38.9037 | + | 34.8690i | −1.34231 | + | 1.20310i | ||||
\(841\) | −6.63378 | − | 20.4167i | −0.228751 | − | 0.704024i | ||||
\(842\) | 23.7274 | − | 7.70949i | 0.817699 | − | 0.265686i | ||||
\(843\) | −34.8524 | + | 47.9702i | −1.20038 | + | 1.65218i | ||||
\(844\) | −23.8572 | + | 17.3333i | −0.821199 | + | 0.596636i | ||||
\(845\) | −14.5917 | + | 25.1412i | −0.501970 | + | 0.864885i | ||||
\(846\) | −17.7228 | −0.609323 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.98933i | 0.0683140i | ||||||||
\(849\) | −3.70820 | + | 11.4127i | −0.127265 | + | 0.391682i | ||||
\(850\) | −19.5817 | + | 4.06913i | −0.671646 | + | 0.139570i | ||||
\(851\) | −22.5404 | − | 16.3765i | −0.772673 | − | 0.561380i | ||||
\(852\) | 23.4468 | − | 7.61834i | 0.803276 | − | 0.261000i | ||||
\(853\) | 23.4468 | − | 7.61834i | 0.802805 | − | 0.260847i | 0.121257 | − | 0.992621i | \(-0.461307\pi\) |
0.681547 | + | 0.731774i | \(0.261307\pi\) | |||||||
\(854\) | −23.8572 | − | 17.3333i | −0.816377 | − | 0.593132i | ||||
\(855\) | −27.5828 | + | 12.2055i | −0.943311 | + | 0.417419i | ||||
\(856\) | −5.47665 | + | 16.8554i | −0.187188 | + | 0.576106i | ||||
\(857\) | 10.6873i | 0.365070i | 0.983199 | + | 0.182535i | \(0.0584303\pi\) | ||||
−0.983199 | + | 0.182535i | \(0.941570\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −11.1168 | −0.379302 | −0.189651 | − | 0.981852i | \(-0.560736\pi\) | ||||
−0.189651 | + | 0.981852i | \(0.560736\pi\) | |||||||
\(860\) | −9.19342 | − | 5.33576i | −0.313493 | − | 0.181948i | ||||
\(861\) | 19.4164 | − | 14.1068i | 0.661709 | − | 0.480760i | ||||
\(862\) | 14.7731 | − | 20.3335i | 0.503175 | − | 0.692561i | ||||
\(863\) | 22.5009 | − | 7.31097i | 0.765938 | − | 0.248868i | 0.100113 | − | 0.994976i | \(-0.468080\pi\) |
0.665825 | + | 0.746108i | \(0.268080\pi\) | |||||||
\(864\) | 1.69623 | + | 5.22047i | 0.0577070 | + | 0.177604i | ||||
\(865\) | 3.12965 | − | 2.80507i | 0.106411 | − | 0.0953754i | ||||
\(866\) | −13.1685 | + | 9.56749i | −0.447485 | + | 0.325117i | ||||
\(867\) | 20.3806 | + | 6.62205i | 0.692161 | + | 0.224897i | ||||
\(868\) | 11.2772i | 0.382772i | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −12.0000 | − | 2.57924i | −0.406838 | − | 0.0874444i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 15.7045 | + | 21.6154i | 0.531823 | + | 0.731991i | ||||
\(873\) | 8.14459 | − | 11.2101i | 0.275653 | − | 0.379403i | ||||
\(874\) | 2.47214 | + | 7.60845i | 0.0836212 | + | 0.257360i | ||||
\(875\) | −36.7517 | − | 12.2194i | −1.24243 | − | 0.413092i | ||||
\(876\) | 19.4164 | + | 14.1068i | 0.656020 | + | 0.476626i | ||||
\(877\) | 0 | 0 | 0.809017 | − | 0.587785i | \(-0.200000\pi\) | ||||
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(878\) | 1.12207 | + | 0.364583i | 0.0378680 | + | 0.0123041i | ||||
\(879\) | −25.4891 | −0.859727 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 21.8614 | 0.736530 | 0.368265 | − | 0.929721i | \(-0.379952\pi\) | ||||
0.368265 | + | 0.929721i | \(0.379952\pi\) | |||||||
\(882\) | −12.7052 | − | 4.12818i | −0.427807 | − | 0.139003i | ||||
\(883\) | 14.2530 | + | 19.6176i | 0.479653 | + | 0.660185i | 0.978438 | − | 0.206540i | \(-0.0662204\pi\) |
−0.498785 | + | 0.866726i | \(0.666220\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −9.13964 | + | 0.939586i | −0.307226 | + | 0.0315839i | ||||
\(886\) | 3.69476 | + | 11.3713i | 0.124128 | + | 0.382027i | ||||
\(887\) | 8.31796 | − | 11.4487i | 0.279290 | − | 0.384409i | −0.646209 | − | 0.763161i | \(-0.723646\pi\) |
0.925498 | + | 0.378751i | \(0.123646\pi\) | |||||||
\(888\) | −43.7550 | − | 60.2236i | −1.46832 | − | 2.02097i | ||||
\(889\) | −12.5051 | + | 38.4868i | −0.419408 | + | 1.29080i | ||||
\(890\) | −1.62772 | + | 7.57301i | −0.0545613 | + | 0.253848i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 10.3923i | − | 0.347960i | ||||||
\(893\) | 25.2344 | + | 8.19915i | 0.844436 | + | 0.274374i | ||||
\(894\) | 18.5898 | − | 13.5063i | 0.621736 | − | 0.451717i | ||||
\(895\) | 23.6721 | + | 26.4112i | 0.791272 | + | 0.882829i | ||||
\(896\) | −9.64502 | − | 29.6843i | −0.322217 | − | 0.991683i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −10.1807 | + | 14.0126i | −0.339736 | + | 0.467606i | ||||
\(899\) | −5.26741 | + | 3.82700i | −0.175678 | + | 0.127637i | ||||
\(900\) | −15.5609 | + | 17.1247i | −0.518695 | + | 0.570822i | ||||
\(901\) | −16.0000 | −0.533037 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | − | 30.2921i | − | 1.00806i | ||||||
\(904\) | −13.2810 | + | 40.8747i | −0.441720 | + | 1.35947i | ||||
\(905\) | 14.0748 | − | 6.22815i | 0.467861 | − | 0.207031i | ||||
\(906\) | −35.9749 | − | 26.1373i | −1.19518 | − | 0.868353i | ||||
\(907\) | −18.9258 | + | 6.14936i | −0.628420 | + | 0.204186i | −0.605875 | − | 0.795560i | \(-0.707177\pi\) |
−0.0225451 | + | 0.999746i | \(0.507177\pi\) | |||||||
\(908\) | −12.7933 | + | 4.15679i | −0.424560 | + | 0.137948i | ||||
\(909\) | −16.3694 | − | 11.8931i | −0.542939 | − | 0.394468i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −9.42838 | + | 29.0176i | −0.312376 | + | 0.961395i | 0.664445 | + | 0.747337i | \(0.268668\pi\) |
−0.976821 | + | 0.214058i | \(0.931332\pi\) | |||||||
\(912\) | − | 6.33830i | − | 0.209882i | ||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 16.4674 | 0.544692 | ||||||||
\(915\) | −52.4541 | − | 30.4438i | −1.73408 | − | 1.00644i | ||||
\(916\) | 22.6173 | − | 16.4324i | 0.747296 | − | 0.542942i | ||||
\(917\) | 17.8052 | − | 24.5068i | 0.587980 | − | 0.809285i | ||||
\(918\) | −3.57507 | + | 1.16161i | −0.117995 | + | 0.0383389i | ||||
\(919\) | 1.92632 | + | 5.92859i | 0.0635433 | + | 0.195566i | 0.977788 | − | 0.209596i | \(-0.0672150\pi\) |
−0.914245 | + | 0.405162i | \(0.867215\pi\) | |||||||
\(920\) | 10.0658 | + | 11.2305i | 0.331860 | + | 0.370260i | ||||
\(921\) | −57.4226 | + | 41.7200i | −1.89214 | + | 1.37472i | ||||
\(922\) | −24.2884 | − | 7.89178i | −0.799896 | − | 0.259902i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 22.6753 | − | 50.3118i | 0.745558 | − | 1.65424i | ||||
\(926\) | 4.93083 | − | 15.1755i | 0.162037 | − | 0.498699i | ||||
\(927\) | 20.5994 | + | 28.3526i | 0.676573 | + | 0.931222i | ||||
\(928\) | 9.42272 | − | 12.9693i | 0.309316 | − | 0.425737i | ||||
\(929\) | 16.3712 | + | 50.3853i | 0.537121 | + | 1.65309i | 0.739021 | + | 0.673682i | \(0.235288\pi\) |
−0.201900 | + | 0.979406i | \(0.564712\pi\) | |||||||
\(930\) | −1.08494 | − | 10.5535i | −0.0355766 | − | 0.346064i | ||||
\(931\) | 16.1803 | + | 11.7557i | 0.530289 | + | 0.385278i | ||||
\(932\) | 13.7329 | + | 18.9018i | 0.449837 | + | 0.619147i | ||||
\(933\) | 41.9877 | + | 13.6426i | 1.37461 | + | 0.446639i | ||||
\(934\) | −3.48913 | −0.114168 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 24.6733 | + | 8.01686i | 0.806043 | + | 0.261899i | 0.682921 | − | 0.730492i | \(-0.260709\pi\) |
0.123122 | + | 0.992392i | \(0.460709\pi\) | |||||||
\(938\) | −1.04022 | − | 1.43174i | −0.0339643 | − | 0.0467478i | ||||
\(939\) | −64.9874 | − | 47.2161i | −2.12078 | − | 1.54084i | ||||
\(940\) | 20.2475 | − | 2.08151i | 0.660401 | − | 0.0678915i | ||||
\(941\) | −3.23460 | − | 9.95507i | −0.105445 | − | 0.324526i | 0.884390 | − | 0.466749i | \(-0.154575\pi\) |
−0.989835 | + | 0.142223i | \(0.954575\pi\) | |||||||
\(942\) | −6.34636 | + | 8.73501i | −0.206775 | + | 0.284602i | ||||
\(943\) | −4.07230 | − | 5.60503i | −0.132612 | − | 0.182525i | ||||
\(944\) | 0.315738 | − | 0.971741i | 0.0102764 | − | 0.0316275i | ||||
\(945\) | −7.11684 | − | 1.52967i | −0.231511 | − | 0.0497602i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 56.1802i | 1.82561i | 0.408393 | + | 0.912806i | \(0.366089\pi\) | ||||
−0.408393 | + | 0.912806i | \(0.633911\pi\) | |||||||
\(948\) | −41.9877 | − | 13.6426i | −1.36370 | − | 0.443092i | ||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −13.7587 | + | 7.86032i | −0.446392 | + | 0.255022i | ||||
\(951\) | −2.74505 | − | 8.44838i | −0.0890142 | − | 0.273958i | ||||
\(952\) | 44.4407 | − | 14.4397i | 1.44033 | − | 0.467992i | ||||
\(953\) | −24.4983 | + | 33.7190i | −0.793578 | + | 1.09227i | 0.200075 | + | 0.979781i | \(0.435881\pi\) |
−0.993653 | + | 0.112486i | \(0.964119\pi\) | |||||||
\(954\) | 6.85025 | − | 4.97700i | 0.221785 | − | 0.161136i | ||||
\(955\) | 15.2963 | − | 26.3552i | 0.494976 | − | 0.852835i | ||||
\(956\) | −4.46738 | −0.144485 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 13.8564i | − | 0.447680i | ||||||
\(959\) | −2.38648 | + | 7.34483i | −0.0770635 | + | 0.237177i | ||||
\(960\) | 7.70269 | + | 17.4071i | 0.248603 | + | 0.561810i | ||||
\(961\) | 20.5266 | + | 14.9135i | 0.662149 | + | 0.481079i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −21.2744 | + | 6.91246i | −0.685557 | + | 0.222751i | ||||
\(964\) | 5.83458 | + | 4.23907i | 0.187919 | + | 0.136531i | ||||
\(965\) | 21.1405 | + | 47.7747i | 0.680537 | + | 1.53792i | ||||
\(966\) | −5.40444 | + | 16.6331i | −0.173885 | + | 0.535163i | ||||
\(967\) | 46.3229i | 1.48965i | 0.667262 | + | 0.744823i | \(0.267466\pi\) | ||||
−0.667262 | + | 0.744823i | \(0.732534\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 50.9783 | 1.63766 | ||||||||
\(970\) | 3.65403 | − | 6.29583i | 0.117324 | − | 0.202147i | ||||
\(971\) | −43.7639 | + | 31.7963i | −1.40445 | + | 1.02039i | −0.410348 | + | 0.911929i | \(0.634593\pi\) |
−0.994100 | + | 0.108463i | \(0.965407\pi\) | |||||||
\(972\) | 18.0431 | − | 24.8342i | 0.578734 | − | 0.796559i | ||||
\(973\) | 60.0719 | − | 19.5185i | 1.92582 | − | 0.625736i | ||||
\(974\) | 5.56231 | + | 17.1190i | 0.178228 | + | 0.548529i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 5.45647 | − | 3.96435i | 0.174657 | − | 0.126896i | ||||
\(977\) | −26.0237 | − | 8.45562i | −0.832573 | − | 0.270519i | −0.138444 | − | 0.990370i | \(-0.544210\pi\) |
−0.694129 | + | 0.719851i | \(0.744210\pi\) | |||||||
\(978\) | − | 6.92820i | − | 0.221540i | ||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 15.0000 | + | 3.22405i | 0.479157 | + | 0.102989i | ||||
\(981\) | −10.4209 | + | 32.0723i | −0.332714 | + | 1.02399i | ||||
\(982\) | −13.7329 | − | 18.9018i | −0.438235 | − | 0.603179i | ||||
\(983\) | 4.79804 | − | 6.60394i | 0.153034 | − | 0.210633i | −0.725616 | − | 0.688100i | \(-0.758445\pi\) |
0.878650 | + | 0.477467i | \(0.158445\pi\) | |||||||
\(984\) | −5.72017 | − | 17.6049i | −0.182353 | − | 0.561223i | ||||
\(985\) | −4.18072 | + | 0.429792i | −0.133209 | + | 0.0136943i | ||||
\(986\) | 8.88159 | + | 6.45285i | 0.282847 | + | 0.205501i | ||||
\(987\) | 34.0944 | + | 46.9269i | 1.08524 | + | 1.49370i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −8.74456 | −0.278061 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −26.9783 | −0.856992 | −0.428496 | − | 0.903544i | \(-0.640956\pi\) | ||||
−0.428496 | + | 0.903544i | \(0.640956\pi\) | |||||||
\(992\) | 13.1782 | + | 4.28187i | 0.418409 | + | 0.135949i | ||||
\(993\) | 4.62467 | + | 6.36532i | 0.146760 | + | 0.201997i | ||||
\(994\) | 15.8022 | + | 11.4810i | 0.501216 | + | 0.364155i | ||||
\(995\) | −1.82936 | − | 17.7948i | −0.0579947 | − | 0.564132i | ||||
\(996\) | −7.10067 | − | 21.8536i | −0.224993 | − | 0.692458i | ||||
\(997\) | −12.9749 | + | 17.8584i | −0.410919 | + | 0.565582i | −0.963442 | − | 0.267916i | \(-0.913665\pi\) |
0.552523 | + | 0.833498i | \(0.313665\pi\) | |||||||
\(998\) | 9.31389 | + | 12.8195i | 0.294826 | + | 0.405793i | ||||
\(999\) | 3.20521 | − | 9.86463i | 0.101408 | − | 0.312103i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))