Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,2,Mod(35,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.h (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: | \(0.862384341830\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 8.0.170772624.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 3x^{7} + 5x^{6} - 6x^{5} + 6x^{4} - 12x^{3} + 20x^{2} - 24x + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 36) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 35.1 | ||
Root | \(-1.02187 + 0.977642i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 108.35 |
Dual form | 108.2.h.a.71.1 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.02187 | + | 0.977642i | −0.722570 | + | 0.691297i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.0884324 | − | 1.99804i | 0.0442162 | − | 0.999022i | ||||
\(5\) | 2.18614 | − | 1.26217i | 0.977672 | − | 0.564459i | 0.0761054 | − | 0.997100i | \(-0.475751\pi\) |
0.901566 | + | 0.432641i | \(0.142418\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.10489 | + | 0.637910i | 0.417610 | + | 0.241107i | 0.694054 | − | 0.719923i | \(-0.255823\pi\) |
−0.276444 | + | 0.961030i | \(0.589156\pi\) | |||||||
\(8\) | 1.86301 | + | 2.12819i | 0.658672 | + | 0.752430i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.00000 | + | 3.42703i | −0.316228 | + | 1.08372i | ||||
\(11\) | −0.252704 | + | 0.437696i | −0.0761931 | + | 0.131970i | −0.901605 | − | 0.432561i | \(-0.857610\pi\) |
0.825411 | + | 0.564532i | \(0.190943\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.18614 | + | 2.05446i | 0.328976 | + | 0.569804i | 0.982309 | − | 0.187267i | \(-0.0599631\pi\) |
−0.653333 | + | 0.757071i | \(0.726630\pi\) | |||||||
\(14\) | −1.75270 | + | 0.428329i | −0.468430 | + | 0.114476i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.98436 | − | 0.353383i | −0.996090 | − | 0.0883459i | ||||
\(17\) | 0.792287i | 0.192158i | 0.995374 | + | 0.0960789i | \(0.0306301\pi\) | ||||
−0.995374 | + | 0.0960789i | \(0.969370\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 4.70285i | − | 1.07891i | −0.842015 | − | 0.539454i | \(-0.818631\pi\) | ||
0.842015 | − | 0.539454i | \(-0.181369\pi\) | |||||||
\(20\) | −2.32854 | − | 4.47962i | −0.520678 | − | 1.00167i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.169680 | − | 0.694322i | −0.0361759 | − | 0.148030i | ||||
\(23\) | −1.61030 | − | 2.78912i | −0.335771 | − | 0.581572i | 0.647862 | − | 0.761758i | \(-0.275664\pi\) |
−0.983633 | + | 0.180186i | \(0.942330\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.686141 | − | 1.18843i | 0.137228 | − | 0.237686i | ||||
\(26\) | −3.22060 | − | 0.939764i | −0.631612 | − | 0.184303i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.37228 | − | 2.15121i | 0.259337 | − | 0.406541i | ||||
\(29\) | −2.18614 | − | 1.26217i | −0.405956 | − | 0.234379i | 0.283095 | − | 0.959092i | \(-0.408639\pi\) |
−0.689051 | + | 0.724713i | \(0.741972\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.04069 | + | 4.06494i | −1.26455 | + | 0.730086i | −0.973951 | − | 0.226761i | \(-0.927186\pi\) |
−0.290595 | + | 0.956846i | \(0.593853\pi\) | |||||||
\(32\) | 4.41698 | − | 3.53417i | 0.780818 | − | 0.624758i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.774573 | − | 0.809613i | −0.132838 | − | 0.138848i | ||||
\(35\) | 3.22060 | 0.544381 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.74456 | −1.10880 | −0.554400 | − | 0.832251i | \(-0.687052\pi\) | ||||
−0.554400 | + | 0.832251i | \(0.687052\pi\) | |||||||
\(38\) | 4.59771 | + | 4.80570i | 0.745847 | + | 0.779588i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 6.75893 | + | 2.30110i | 1.06868 | + | 0.363837i | ||||
\(41\) | −5.87228 | + | 3.39036i | −0.917096 | + | 0.529486i | −0.882708 | − | 0.469923i | \(-0.844282\pi\) |
−0.0343887 | + | 0.999409i | \(0.510948\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.69391 | + | 3.86473i | 1.02081 | + | 0.589366i | 0.914339 | − | 0.404950i | \(-0.132711\pi\) |
0.106473 | + | 0.994316i | \(0.466044\pi\) | |||||||
\(44\) | 0.852189 | + | 0.543620i | 0.128472 | + | 0.0819538i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.37228 | + | 1.27582i | 0.644658 | + | 0.188110i | ||||
\(47\) | −0.599485 | + | 1.03834i | −0.0874439 | + | 0.151457i | −0.906430 | − | 0.422356i | \(-0.861203\pi\) |
0.818986 | + | 0.573813i | \(0.194537\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.68614 | − | 4.65253i | −0.383734 | − | 0.664647i | ||||
\(50\) | 0.460714 | + | 1.88522i | 0.0651548 | + | 0.266610i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 4.20979 | − | 2.18828i | 0.583792 | − | 0.303460i | ||||
\(53\) | 1.87953i | 0.258173i | 0.991633 | + | 0.129086i | \(0.0412045\pi\) | ||||
−0.991633 | + | 0.129086i | \(0.958796\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.27582i | 0.172032i | ||||||||
\(56\) | 0.700825 | + | 3.53986i | 0.0936516 | + | 0.473033i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.46790 | − | 0.847492i | 0.455357 | − | 0.111281i | ||||
\(59\) | 6.18850 | + | 10.7188i | 0.805674 | + | 1.39547i | 0.915835 | + | 0.401555i | \(0.131530\pi\) |
−0.110161 | + | 0.993914i | \(0.535137\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.18614 | − | 2.05446i | 0.151870 | − | 0.263046i | −0.780045 | − | 0.625723i | \(-0.784804\pi\) |
0.931915 | + | 0.362677i | \(0.118137\pi\) | |||||||
\(62\) | 3.22060 | − | 11.0371i | 0.409017 | − | 1.40172i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.05842 | + | 7.92967i | −0.132303 | + | 0.991209i | ||||
\(65\) | 5.18614 | + | 2.99422i | 0.643262 | + | 0.371387i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.69391 | − | 3.86473i | 0.817791 | − | 0.472152i | −0.0318630 | − | 0.999492i | \(-0.510144\pi\) |
0.849654 | + | 0.527340i | \(0.176811\pi\) | |||||||
\(68\) | 1.58302 | + | 0.0700638i | 0.191970 | + | 0.00849648i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.29103 | + | 3.14860i | −0.393354 | + | 0.376329i | ||||
\(71\) | −11.8716 | −1.40890 | −0.704450 | − | 0.709754i | \(-0.748806\pi\) | ||||
−0.704450 | + | 0.709754i | \(0.748806\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.37228 | 0.394696 | 0.197348 | − | 0.980334i | \(-0.436767\pi\) | ||||
0.197348 | + | 0.980334i | \(0.436767\pi\) | |||||||
\(74\) | 6.89206 | − | 6.59377i | 0.801186 | − | 0.766510i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −9.39651 | − | 0.415885i | −1.07785 | − | 0.0477052i | ||||
\(77\) | −0.558422 | + | 0.322405i | −0.0636381 | + | 0.0367415i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −8.55691 | − | 4.94034i | −0.962728 | − | 0.555831i | −0.0657165 | − | 0.997838i | \(-0.520933\pi\) |
−0.897012 | + | 0.442007i | \(0.854267\pi\) | |||||||
\(80\) | −9.15640 | + | 4.25639i | −1.02372 | + | 0.475879i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.68614 | − | 9.20550i | 0.296635 | − | 1.01658i | ||||
\(83\) | 3.82009 | − | 6.61659i | 0.419309 | − | 0.726265i | −0.576561 | − | 0.817054i | \(-0.695606\pi\) |
0.995870 | + | 0.0907894i | \(0.0289390\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.00000 | + | 1.73205i | 0.108465 | + | 0.187867i | ||||
\(86\) | −10.6186 | + | 2.59500i | −1.14504 | + | 0.279826i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.40229 | + | 0.277627i | −0.149485 | + | 0.0295952i | ||||
\(89\) | − | 11.9769i | − | 1.26955i | −0.772698 | − | 0.634773i | \(-0.781093\pi\) | ||
0.772698 | − | 0.634773i | \(-0.218907\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.02661i | 0.317274i | ||||||||
\(92\) | −5.71519 | + | 2.97080i | −0.595850 | + | 0.309728i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.402528 | − | 1.64713i | −0.0415176 | − | 0.169888i | ||||
\(95\) | −5.93580 | − | 10.2811i | −0.609000 | − | 1.05482i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.24456 | + | 9.08385i | −0.532505 | + | 0.922325i | 0.466775 | + | 0.884376i | \(0.345416\pi\) |
−0.999280 | + | 0.0379490i | \(0.987918\pi\) | |||||||
\(98\) | 7.29339 | + | 2.12819i | 0.736744 | + | 0.214980i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.31386 | − | 1.47603i | −0.231386 | − | 0.147603i | ||||
\(101\) | −1.06930 | − | 0.617359i | −0.106399 | − | 0.0614295i | 0.445856 | − | 0.895105i | \(-0.352899\pi\) |
−0.552255 | + | 0.833675i | \(0.686233\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.411331 | + | 0.237482i | −0.0405297 | + | 0.0233998i | −0.520128 | − | 0.854088i | \(-0.674116\pi\) |
0.479598 | + | 0.877488i | \(0.340782\pi\) | |||||||
\(104\) | −2.16249 | + | 6.35180i | −0.212050 | + | 0.622845i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.83751 | − | 1.92063i | −0.178474 | − | 0.186548i | ||||
\(107\) | 12.5652 | 1.21472 | 0.607360 | − | 0.794427i | \(-0.292229\pi\) | ||||
0.607360 | + | 0.794427i | \(0.292229\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 13.4891 | 1.29202 | 0.646012 | − | 0.763327i | \(-0.276436\pi\) | ||||
0.646012 | + | 0.763327i | \(0.276436\pi\) | |||||||
\(110\) | −1.24730 | − | 1.30372i | −0.118925 | − | 0.124305i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −4.17686 | − | 2.93212i | −0.394677 | − | 0.277059i | ||||
\(113\) | 6.30298 | − | 3.63903i | 0.592935 | − | 0.342331i | −0.173322 | − | 0.984865i | \(-0.555450\pi\) |
0.766257 | + | 0.642534i | \(0.222117\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.04069 | − | 4.06494i | −0.656548 | − | 0.379058i | ||||
\(116\) | −2.71519 | + | 4.25639i | −0.252099 | + | 0.395196i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −16.8030 | − | 4.90307i | −1.54684 | − | 0.451364i | ||||
\(119\) | −0.505408 | + | 0.875393i | −0.0463307 | + | 0.0802471i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.37228 | + | 9.30506i | 0.488389 | + | 0.845915i | ||||
\(122\) | 0.796442 | + | 3.25901i | 0.0721065 | + | 0.295057i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 7.49931 | + | 14.4271i | 0.673458 | + | 1.29559i | ||||
\(125\) | 9.15759i | 0.819080i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.65492i | 0.679265i | 0.940558 | + | 0.339632i | \(0.110303\pi\) | ||||
−0.940558 | + | 0.339632i | \(0.889697\pi\) | |||||||
\(128\) | −6.67081 | − | 9.13785i | −0.589622 | − | 0.807679i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −8.22683 | + | 2.01049i | −0.721541 | + | 0.176332i | ||||
\(131\) | −3.82009 | − | 6.61659i | −0.333763 | − | 0.578094i | 0.649484 | − | 0.760375i | \(-0.274985\pi\) |
−0.983246 | + | 0.182282i | \(0.941652\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.00000 | − | 5.19615i | 0.260133 | − | 0.450564i | ||||
\(134\) | −3.06198 | + | 10.4935i | −0.264514 | + | 0.906500i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.68614 | + | 1.47603i | −0.144585 | + | 0.126569i | ||||
\(137\) | 4.75544 | + | 2.74555i | 0.406284 | + | 0.234568i | 0.689192 | − | 0.724579i | \(-0.257966\pi\) |
−0.282908 | + | 0.959147i | \(0.591299\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 13.3233 | − | 7.69219i | 1.13006 | − | 0.652443i | 0.186114 | − | 0.982528i | \(-0.440411\pi\) |
0.943951 | + | 0.330085i | \(0.107077\pi\) | |||||||
\(140\) | 0.284805 | − | 6.43491i | 0.0240705 | − | 0.543849i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 12.1312 | − | 11.6062i | 1.01803 | − | 0.973968i | ||||
\(143\) | −1.19897 | −0.100263 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.37228 | −0.529189 | ||||||||
\(146\) | −3.44603 | + | 3.29688i | −0.285195 | + | 0.272852i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.596438 | + | 13.4759i | −0.0490269 | + | 1.10771i | ||||
\(149\) | 11.1861 | − | 6.45832i | 0.916404 | − | 0.529086i | 0.0339182 | − | 0.999425i | \(-0.489201\pi\) |
0.882486 | + | 0.470338i | \(0.155868\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.62112 | + | 1.51330i | 0.213304 | + | 0.123151i | 0.602846 | − | 0.797858i | \(-0.294033\pi\) |
−0.389542 | + | 0.921009i | \(0.627367\pi\) | |||||||
\(152\) | 10.0086 | − | 8.76144i | 0.811804 | − | 0.710647i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.255437 | − | 0.875393i | 0.0205837 | − | 0.0705411i | ||||
\(155\) | −10.2613 | + | 17.7731i | −0.824207 | + | 1.42757i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.93070 | − | 10.2723i | −0.473322 | − | 0.819817i | 0.526212 | − | 0.850353i | \(-0.323612\pi\) |
−0.999534 | + | 0.0305363i | \(0.990278\pi\) | |||||||
\(158\) | 13.5739 | − | 3.31722i | 1.07988 | − | 0.263904i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 5.19542 | − | 13.3012i | 0.410734 | − | 1.05155i | ||||
\(161\) | − | 4.10891i | − | 0.323828i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 1.75079i | − | 0.137132i | −0.997647 | − | 0.0685660i | \(-0.978158\pi\) | ||
0.997647 | − | 0.0685660i | \(-0.0218424\pi\) | |||||||
\(164\) | 6.25480 | + | 12.0329i | 0.488417 | + | 0.939611i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.56502 | + | 10.4960i | 0.199084 | + | 0.814645i | ||||
\(167\) | 8.74507 | + | 15.1469i | 0.676714 | + | 1.17210i | 0.975965 | + | 0.217928i | \(0.0699299\pi\) |
−0.299251 | + | 0.954174i | \(0.596737\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.68614 | − | 6.38458i | 0.283549 | − | 0.491122i | ||||
\(170\) | −2.71519 | − | 0.792287i | −0.208246 | − | 0.0607656i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 8.31386 | − | 13.0330i | 0.633926 | − | 0.993754i | ||||
\(173\) | −15.3030 | − | 8.83518i | −1.16346 | − | 0.671726i | −0.211333 | − | 0.977414i | \(-0.567780\pi\) |
−0.952132 | + | 0.305688i | \(0.901114\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.51622 | − | 0.875393i | 0.114616 | − | 0.0661735i | ||||
\(176\) | 1.16154 | − | 1.65464i | 0.0875543 | − | 0.124723i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 11.7091 | + | 12.2388i | 0.877634 | + | 0.917337i | ||||
\(179\) | −8.83915 | −0.660669 | −0.330334 | − | 0.943864i | \(-0.607162\pi\) | ||||
−0.330334 | + | 0.943864i | \(0.607162\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.00000 | −0.297318 | −0.148659 | − | 0.988889i | \(-0.547496\pi\) | ||||
−0.148659 | + | 0.988889i | \(0.547496\pi\) | |||||||
\(182\) | −2.95894 | − | 3.09279i | −0.219331 | − | 0.229253i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.93580 | − | 8.62319i | 0.216430 | − | 0.635710i | ||||
\(185\) | −14.7446 | + | 8.51278i | −1.08404 | + | 0.625872i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.346781 | − | 0.200214i | −0.0253591 | − | 0.0146411i | ||||
\(188\) | 2.02163 | + | 1.28962i | 0.147443 | + | 0.0940552i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 16.1168 | + | 4.70285i | 1.16924 | + | 0.341181i | ||||
\(191\) | 7.54610 | − | 13.0702i | 0.546017 | − | 0.945728i | −0.452526 | − | 0.891751i | \(-0.649477\pi\) |
0.998542 | − | 0.0539770i | \(-0.0171898\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.87228 | − | 6.70699i | −0.278733 | − | 0.482780i | 0.692337 | − | 0.721574i | \(-0.256581\pi\) |
−0.971070 | + | 0.238795i | \(0.923248\pi\) | |||||||
\(194\) | −3.52150 | − | 14.4098i | −0.252829 | − | 1.03456i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −9.53351 | + | 4.95559i | −0.680965 | + | 0.353971i | ||||
\(197\) | 23.9538i | 1.70663i | 0.521392 | + | 0.853317i | \(0.325413\pi\) | ||||
−0.521392 | + | 0.853317i | \(0.674587\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 12.9073i | 0.914973i | 0.889217 | + | 0.457486i | \(0.151250\pi\) | ||||
−0.889217 | + | 0.457486i | \(0.848750\pi\) | |||||||
\(200\) | 3.80749 | − | 0.753812i | 0.269231 | − | 0.0533025i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.69624 | − | 0.414530i | 0.119347 | − | 0.0291662i | ||||
\(203\) | −1.61030 | − | 2.78912i | −0.113021 | − | 0.195758i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −8.55842 | + | 14.8236i | −0.597746 | + | 1.03533i | ||||
\(206\) | 0.188154 | − | 0.644810i | 0.0131093 | − | 0.0449261i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −4.00000 | − | 8.60485i | −0.277350 | − | 0.596639i | ||||
\(209\) | 2.05842 | + | 1.18843i | 0.142384 | + | 0.0822055i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −15.1863 | + | 8.76780i | −1.04547 | + | 0.603600i | −0.921377 | − | 0.388671i | \(-0.872934\pi\) |
−0.124090 | + | 0.992271i | \(0.539601\pi\) | |||||||
\(212\) | 3.75538 | + | 0.166211i | 0.257920 | + | 0.0114154i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −12.8399 | + | 12.2842i | −0.877720 | + | 0.839732i | ||||
\(215\) | 19.5118 | 1.33069 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −10.3723 | −0.704116 | ||||||||
\(218\) | −13.7841 | + | 13.1875i | −0.933578 | + | 0.893173i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.54915 | + | 0.112824i | 0.171863 | + | 0.00760658i | ||||
\(221\) | −1.62772 | + | 0.939764i | −0.109492 | + | 0.0632154i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.04069 | − | 4.06494i | −0.471479 | − | 0.272209i | 0.245379 | − | 0.969427i | \(-0.421087\pi\) |
−0.716859 | + | 0.697218i | \(0.754421\pi\) | |||||||
\(224\) | 7.13477 | − | 1.08724i | 0.476712 | − | 0.0726443i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.88316 | + | 9.88067i | −0.191785 | + | 0.657253i | ||||
\(227\) | 7.19932 | − | 12.4696i | 0.477835 | − | 0.827635i | −0.521842 | − | 0.853042i | \(-0.674755\pi\) |
0.999677 | + | 0.0254070i | \(0.00808817\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.81386 | − | 3.14170i | −0.119863 | − | 0.207609i | 0.799850 | − | 0.600200i | \(-0.204912\pi\) |
−0.919713 | + | 0.392591i | \(0.871579\pi\) | |||||||
\(230\) | 11.1687 | − | 2.72943i | 0.736444 | − | 0.179974i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.38665 | − | 7.00396i | −0.0910381 | − | 0.459832i | ||||
\(233\) | − | 4.84630i | − | 0.317491i | −0.987320 | − | 0.158746i | \(-0.949255\pi\) | ||
0.987320 | − | 0.158746i | \(-0.0507450\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.02661i | 0.197434i | ||||||||
\(236\) | 21.9639 | − | 11.4170i | 1.42973 | − | 0.743184i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.339360 | − | 1.38864i | −0.0219974 | − | 0.0900125i | ||||
\(239\) | −6.02987 | − | 10.4440i | −0.390040 | − | 0.675569i | 0.602414 | − | 0.798184i | \(-0.294206\pi\) |
−0.992454 | + | 0.122614i | \(0.960872\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.24456 | − | 5.61975i | 0.209001 | − | 0.362000i | −0.742399 | − | 0.669958i | \(-0.766312\pi\) |
0.951400 | + | 0.307958i | \(0.0996456\pi\) | |||||||
\(242\) | −14.5868 | − | 4.25639i | −0.937674 | − | 0.273611i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −4.00000 | − | 2.55164i | −0.256074 | − | 0.163352i | ||||
\(245\) | −11.7446 | − | 6.78073i | −0.750333 | − | 0.433205i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 9.66181 | − | 5.57825i | 0.614766 | − | 0.354935i | ||||
\(248\) | −21.7678 | − | 7.41094i | −1.38226 | − | 0.470595i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −8.95284 | − | 9.35785i | −0.566227 | − | 0.591843i | ||||
\(251\) | −11.1780 | −0.705551 | −0.352776 | − | 0.935708i | \(-0.614762\pi\) | ||||
−0.352776 | + | 0.935708i | \(0.614762\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.62772 | 0.102334 | ||||||||
\(254\) | −7.48378 | − | 7.82233i | −0.469574 | − | 0.490817i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.7502 | + | 2.81601i | 0.984390 | + | 0.176001i | ||||
\(257\) | −12.9891 | + | 7.49927i | −0.810239 | + | 0.467792i | −0.847039 | − | 0.531531i | \(-0.821617\pi\) |
0.0367996 | + | 0.999323i | \(0.488284\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −7.45202 | − | 4.30243i | −0.463046 | − | 0.267340i | ||||
\(260\) | 6.44121 | − | 10.0974i | 0.399467 | − | 0.626211i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 10.3723 | + | 3.02661i | 0.640802 | + | 0.186984i | ||||
\(263\) | −13.9873 | + | 24.2267i | −0.862494 | + | 1.49388i | 0.00701993 | + | 0.999975i | \(0.497765\pi\) |
−0.869514 | + | 0.493908i | \(0.835568\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.37228 | + | 4.10891i | 0.145728 | + | 0.252408i | ||||
\(266\) | 2.01437 | + | 8.24271i | 0.123509 | + | 0.505393i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −7.12994 | − | 13.7165i | −0.435531 | − | 0.837868i | ||||
\(269\) | − | 21.4843i | − | 1.30992i | −0.755663 | − | 0.654961i | \(-0.772685\pi\) | ||
0.755663 | − | 0.654961i | \(-0.227315\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 29.9679i | − | 1.82042i | −0.414146 | − | 0.910211i | \(-0.635920\pi\) | ||
0.414146 | − | 0.910211i | \(-0.364080\pi\) | |||||||
\(272\) | 0.279981 | − | 3.15676i | 0.0169763 | − | 0.191406i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −7.54360 | + | 1.84352i | −0.455726 | + | 0.111371i | ||||
\(275\) | 0.346781 | + | 0.600642i | 0.0209117 | + | 0.0362201i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.18614 | + | 5.51856i | −0.191437 | + | 0.331578i | −0.945727 | − | 0.324963i | \(-0.894648\pi\) |
0.754290 | + | 0.656541i | \(0.227981\pi\) | |||||||
\(278\) | −6.09442 | + | 20.8858i | −0.365519 | + | 1.25265i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 6.00000 | + | 6.85407i | 0.358569 | + | 0.409609i | ||||
\(281\) | 19.9307 | + | 11.5070i | 1.18897 | + | 0.686450i | 0.958072 | − | 0.286529i | \(-0.0925014\pi\) |
0.230894 | + | 0.972979i | \(0.425835\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.55691 | + | 4.94034i | −0.508656 | + | 0.293673i | −0.732281 | − | 0.681003i | \(-0.761544\pi\) |
0.223625 | + | 0.974675i | \(0.428211\pi\) | |||||||
\(284\) | −1.04983 | + | 23.7200i | −0.0622961 | + | 1.40752i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.22519 | − | 1.17216i | 0.0724470 | − | 0.0693115i | ||||
\(287\) | −8.65099 | −0.510652 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 16.3723 | 0.963075 | ||||||||
\(290\) | 6.51164 | − | 6.22981i | 0.382376 | − | 0.365827i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.298219 | − | 6.73797i | 0.0174519 | − | 0.394310i | ||||
\(293\) | 20.1861 | − | 11.6545i | 1.17929 | − | 0.680862i | 0.223437 | − | 0.974718i | \(-0.428272\pi\) |
0.955850 | + | 0.293857i | \(0.0949388\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 27.0579 | + | 15.6219i | 1.57537 | + | 0.909540i | ||||
\(296\) | −12.5652 | − | 14.3537i | −0.730335 | − | 0.834294i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.11684 | + | 17.5356i | −0.296411 | + | 1.01581i | ||||
\(299\) | 3.82009 | − | 6.61659i | 0.220921 | − | 0.382647i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.93070 | + | 8.54023i | 0.284201 | + | 0.492251i | ||||
\(302\) | −4.15791 | + | 1.01612i | −0.239261 | + | 0.0584710i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.66191 | + | 18.7379i | −0.0953171 | + | 1.07469i | ||||
\(305\) | − | 5.98844i | − | 0.342897i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.20128i | 0.0685609i | 0.999412 | + | 0.0342805i | \(0.0109140\pi\) | ||||
−0.999412 | + | 0.0342805i | \(0.989086\pi\) | |||||||
\(308\) | 0.594797 | + | 1.14426i | 0.0338917 | + | 0.0652004i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.89001 | − | 28.1936i | −0.391326 | − | 1.60129i | ||||
\(311\) | 9.56773 | + | 16.5718i | 0.542536 | + | 0.939700i | 0.998758 | + | 0.0498340i | \(0.0158692\pi\) |
−0.456221 | + | 0.889866i | \(0.650797\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 9.24456 | − | 16.0121i | 0.522534 | − | 0.905055i | −0.477123 | − | 0.878837i | \(-0.658320\pi\) |
0.999656 | − | 0.0262180i | \(-0.00834640\pi\) | |||||||
\(314\) | 16.1030 | + | 4.69882i | 0.908746 | + | 0.265170i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −10.6277 | + | 16.6602i | −0.597856 | + | 0.937210i | ||||
\(317\) | 28.1644 | + | 16.2607i | 1.58187 | + | 0.913293i | 0.994587 | + | 0.103911i | \(0.0331359\pi\) |
0.587283 | + | 0.809381i | \(0.300197\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.10489 | − | 0.637910i | 0.0618621 | − | 0.0357161i | ||||
\(320\) | 7.69473 | + | 18.6713i | 0.430148 | + | 1.04376i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 4.01704 | + | 4.19877i | 0.223861 | + | 0.233988i | ||||
\(323\) | 3.72601 | 0.207321 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.25544 | 0.180579 | ||||||||
\(326\) | 1.71164 | + | 1.78907i | 0.0947990 | + | 0.0990876i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −18.1554 | − | 6.18109i | −1.00247 | − | 0.341294i | ||||
\(329\) | −1.32473 | + | 0.764836i | −0.0730350 | + | 0.0421667i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 24.0254 | + | 13.8711i | 1.32056 | + | 0.762424i | 0.983817 | − | 0.179174i | \(-0.0573426\pi\) |
0.336739 | + | 0.941598i | \(0.390676\pi\) | |||||||
\(332\) | −12.8824 | − | 8.21782i | −0.707014 | − | 0.451012i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −23.7446 | − | 6.92860i | −1.29924 | − | 0.379116i | ||||
\(335\) | 9.75588 | − | 16.8977i | 0.533021 | − | 0.923219i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.87228 | + | 13.6352i | 0.428830 | + | 0.742756i | 0.996770 | − | 0.0803144i | \(-0.0255924\pi\) |
−0.567939 | + | 0.823071i | \(0.692259\pi\) | |||||||
\(338\) | 2.47508 | + | 10.1279i | 0.134627 | + | 0.550887i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 3.54915 | − | 1.84487i | 0.192479 | − | 0.100052i | ||||
\(341\) | − | 4.10891i | − | 0.222510i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 15.7848i | − | 0.852300i | ||||||
\(344\) | 4.24589 | + | 21.4460i | 0.228923 | + | 1.15629i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 24.2753 | − | 5.93244i | 1.30505 | − | 0.318930i | ||||
\(347\) | −3.47331 | − | 6.01594i | −0.186457 | − | 0.322953i | 0.757610 | − | 0.652708i | \(-0.226367\pi\) |
−0.944066 | + | 0.329755i | \(0.893034\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.81386 | − | 4.87375i | 0.150622 | − | 0.260886i | −0.780834 | − | 0.624739i | \(-0.785206\pi\) |
0.931456 | + | 0.363853i | \(0.118539\pi\) | |||||||
\(350\) | −0.693562 | + | 2.37686i | −0.0370725 | + | 0.127049i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.430703 | + | 2.82639i | 0.0229566 | + | 0.150647i | ||||
\(353\) | −7.24456 | − | 4.18265i | −0.385589 | − | 0.222620i | 0.294658 | − | 0.955603i | \(-0.404794\pi\) |
−0.680247 | + | 0.732983i | \(0.738128\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −25.9530 | + | 14.9840i | −1.37744 | + | 0.795266i | ||||
\(356\) | −23.9303 | − | 1.05914i | −1.26830 | − | 0.0561345i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 9.03245 | − | 8.64152i | 0.477380 | − | 0.456719i | ||||
\(359\) | 1.38712 | 0.0732096 | 0.0366048 | − | 0.999330i | \(-0.488346\pi\) | ||||
0.0366048 | + | 0.999330i | \(0.488346\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.11684 | −0.164044 | ||||||||
\(362\) | 4.08748 | − | 3.91057i | 0.214833 | − | 0.205535i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 6.04729 | + | 0.267650i | 0.316964 | + | 0.0140287i | ||||
\(365\) | 7.37228 | − | 4.25639i | 0.385883 | − | 0.222790i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.52447 | − | 3.18955i | −0.288375 | − | 0.166493i | 0.348834 | − | 0.937185i | \(-0.386578\pi\) |
−0.637209 | + | 0.770691i | \(0.719911\pi\) | |||||||
\(368\) | 5.43039 | + | 11.6819i | 0.283079 | + | 0.608962i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 6.74456 | − | 23.1138i | 0.350633 | − | 1.20163i | ||||
\(371\) | −1.19897 | + | 2.07668i | −0.0622474 | + | 0.107816i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 9.93070 | + | 17.2005i | 0.514192 | + | 0.890607i | 0.999864 | + | 0.0164662i | \(0.00524158\pi\) |
−0.485672 | + | 0.874141i | \(0.661425\pi\) | |||||||
\(374\) | 0.550103 | − | 0.134435i | 0.0284451 | − | 0.00695147i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −3.32663 | + | 0.658610i | −0.171558 | + | 0.0339652i | ||||
\(377\) | − | 5.98844i | − | 0.308420i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.45364i | 0.331501i | 0.986168 | + | 0.165751i | \(0.0530047\pi\) | ||||
−0.986168 | + | 0.165751i | \(0.946995\pi\) | |||||||
\(380\) | −21.0670 | + | 10.9508i | −1.08071 | + | 0.561764i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 5.06688 | + | 20.7334i | 0.259244 | + | 1.06082i | ||||
\(383\) | 4.32550 | + | 7.49198i | 0.221023 | + | 0.382822i | 0.955119 | − | 0.296223i | \(-0.0957272\pi\) |
−0.734096 | + | 0.679045i | \(0.762394\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.813859 | + | 1.40965i | −0.0414781 | + | 0.0718422i | ||||
\(386\) | 10.5140 | + | 3.06796i | 0.535148 | + | 0.156155i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 17.6861 | + | 11.2822i | 0.897878 | + | 0.572766i | ||||
\(389\) | −27.3030 | − | 15.7634i | −1.38432 | − | 0.799235i | −0.391649 | − | 0.920115i | \(-0.628095\pi\) |
−0.992667 | + | 0.120879i | \(0.961429\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.20979 | − | 1.27582i | 0.111754 | − | 0.0645210i | ||||
\(392\) | 4.89720 | − | 14.3843i | 0.247346 | − | 0.726518i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −23.4182 | − | 24.4776i | −1.17979 | − | 1.23316i | ||||
\(395\) | −24.9422 | −1.25498 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −18.7446 | −0.940763 | −0.470381 | − | 0.882463i | \(-0.655884\pi\) | ||||
−0.470381 | + | 0.882463i | \(0.655884\pi\) | |||||||
\(398\) | −12.6187 | − | 13.1895i | −0.632518 | − | 0.661132i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.15380 | + | 4.49266i | −0.157690 | + | 0.224633i | ||||
\(401\) | −3.98913 | + | 2.30312i | −0.199207 | + | 0.115012i | −0.596286 | − | 0.802772i | \(-0.703357\pi\) |
0.397078 | + | 0.917785i | \(0.370024\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −16.7025 | − | 9.64319i | −0.832011 | − | 0.480362i | ||||
\(404\) | −1.32807 | + | 2.08191i | −0.0660740 | + | 0.103579i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.37228 | + | 1.27582i | 0.216993 | + | 0.0633179i | ||||
\(407\) | 1.70438 | − | 2.95207i | 0.0844829 | − | 0.146329i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −6.87228 | − | 11.9031i | −0.339812 | − | 0.588572i | 0.644585 | − | 0.764533i | \(-0.277030\pi\) |
−0.984397 | + | 0.175960i | \(0.943697\pi\) | |||||||
\(410\) | −5.74661 | − | 23.5149i | −0.283805 | − | 1.16132i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.438125 | + | 0.842859i | 0.0215849 | + | 0.0415247i | ||||
\(413\) | 15.7908i | 0.777016i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 19.2864i | − | 0.946731i | ||||||
\(416\) | 12.4999 | + | 4.88246i | 0.612860 | + | 0.239383i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −3.26530 | + | 0.797979i | −0.159711 | + | 0.0390305i | ||||
\(419\) | −13.4819 | − | 23.3513i | −0.658634 | − | 1.14079i | −0.980970 | − | 0.194162i | \(-0.937801\pi\) |
0.322336 | − | 0.946625i | \(-0.395532\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.30298 | − | 9.18504i | 0.258452 | − | 0.447651i | −0.707376 | − | 0.706838i | \(-0.750121\pi\) |
0.965827 | + | 0.259186i | \(0.0834544\pi\) | |||||||
\(422\) | 6.94661 | − | 23.8063i | 0.338156 | − | 1.15887i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −4.00000 | + | 3.50157i | −0.194257 | + | 0.170051i | ||||
\(425\) | 0.941578 | + | 0.543620i | 0.0456732 | + | 0.0263695i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.62112 | − | 1.51330i | 0.126845 | − | 0.0732339i | ||||
\(428\) | 1.11117 | − | 25.1057i | 0.0537103 | − | 1.21353i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −19.9385 | + | 19.0755i | −0.961518 | + | 0.919904i | ||||
\(431\) | 31.1952 | 1.50262 | 0.751310 | − | 0.659949i | \(-0.229422\pi\) | ||||
0.751310 | + | 0.659949i | \(0.229422\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −8.62772 | −0.414622 | −0.207311 | − | 0.978275i | \(-0.566471\pi\) | ||||
−0.207311 | + | 0.978275i | \(0.566471\pi\) | |||||||
\(434\) | 10.5991 | − | 10.1404i | 0.508774 | − | 0.486754i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.19288 | − | 26.9519i | 0.0571284 | − | 1.29076i | ||||
\(437\) | −13.1168 | + | 7.57301i | −0.627464 | + | 0.362266i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.65357 | + | 3.26409i | 0.269830 | + | 0.155786i | 0.628810 | − | 0.777559i | \(-0.283542\pi\) |
−0.358980 | + | 0.933345i | \(0.616876\pi\) | |||||||
\(440\) | −2.71519 | + | 2.37686i | −0.129442 | + | 0.113312i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.744563 | − | 2.55164i | 0.0354152 | − | 0.121369i | ||||
\(443\) | −6.18850 | + | 10.7188i | −0.294025 | + | 0.509265i | −0.974758 | − | 0.223266i | \(-0.928328\pi\) |
0.680733 | + | 0.732532i | \(0.261661\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −15.1168 | − | 26.1831i | −0.716607 | − | 1.24120i | ||||
\(446\) | 11.1687 | − | 2.72943i | 0.528854 | − | 0.129242i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −6.22787 | + | 8.08627i | −0.294239 | + | 0.382040i | ||||
\(449\) | 19.4024i | 0.915657i | 0.889041 | + | 0.457828i | \(0.151373\pi\) | ||||
−0.889041 | + | 0.457828i | \(0.848627\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 3.42703i | − | 0.161373i | ||||||
\(452\) | −6.71355 | − | 12.9154i | −0.315779 | − | 0.607492i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 4.83403 | + | 19.7806i | 0.226872 | + | 0.928351i | ||||
\(455\) | 3.82009 | + | 6.61659i | 0.179088 | + | 0.310190i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −19.9891 | + | 34.6222i | −0.935052 | + | 1.61956i | −0.160510 | + | 0.987034i | \(0.551314\pi\) |
−0.774541 | + | 0.632523i | \(0.782019\pi\) | |||||||
\(458\) | 4.92498 | + | 1.43710i | 0.230129 | + | 0.0671511i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −8.74456 | + | 13.7081i | −0.407717 | + | 0.639145i | ||||
\(461\) | −0.302985 | − | 0.174928i | −0.0141114 | − | 0.00814722i | 0.492928 | − | 0.870070i | \(-0.335927\pi\) |
−0.507039 | + | 0.861923i | \(0.669260\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.13734 | − | 2.38870i | 0.192279 | − | 0.111012i | −0.400770 | − | 0.916179i | \(-0.631257\pi\) |
0.593049 | + | 0.805167i | \(0.297924\pi\) | |||||||
\(464\) | 8.26434 | + | 5.80148i | 0.383662 | + | 0.269327i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 4.73794 | + | 4.95228i | 0.219481 | + | 0.229410i | ||||
\(467\) | −5.11313 | −0.236608 | −0.118304 | − | 0.992977i | \(-0.537746\pi\) | ||||
−0.118304 | + | 0.992977i | \(0.537746\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 9.86141 | 0.455357 | ||||||||
\(470\) | −2.95894 | − | 3.09279i | −0.136486 | − | 0.142660i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −11.2825 | + | 33.1395i | −0.519318 | + | 1.52537i | ||||
\(473\) | −3.38316 | + | 1.95327i | −0.155558 | + | 0.0898113i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −5.58902 | − | 3.22682i | −0.256442 | − | 0.148057i | ||||
\(476\) | 1.70438 | + | 1.08724i | 0.0781201 | + | 0.0498336i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 16.3723 | + | 4.77739i | 0.748851 | + | 0.218513i | ||||
\(479\) | −6.53528 | + | 11.3194i | −0.298605 | + | 0.517198i | −0.975817 | − | 0.218589i | \(-0.929855\pi\) |
0.677212 | + | 0.735788i | \(0.263188\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −8.00000 | − | 13.8564i | −0.364769 | − | 0.631798i | ||||
\(482\) | 2.17858 | + | 8.91467i | 0.0992317 | + | 0.406052i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 19.0670 | − | 9.91119i | 0.866682 | − | 0.450508i | ||||
\(485\) | 26.4781i | 1.20231i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 42.8752i | 1.94286i | 0.237325 | + | 0.971430i | \(0.423729\pi\) | ||||
−0.237325 | + | 0.971430i | \(0.576271\pi\) | |||||||
\(488\) | 6.58207 | − | 1.30312i | 0.297956 | − | 0.0589897i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 18.6305 | − | 4.55296i | 0.841641 | − | 0.205682i | ||||
\(491\) | 6.88206 | + | 11.9201i | 0.310583 | + | 0.537946i | 0.978489 | − | 0.206300i | \(-0.0661423\pi\) |
−0.667906 | + | 0.744246i | \(0.732809\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.00000 | − | 1.73205i | 0.0450377 | − | 0.0780076i | ||||
\(494\) | −4.41957 | + | 15.1460i | −0.198846 | + | 0.681452i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 29.4891 | − | 13.7081i | 1.32410 | − | 0.615513i | ||||
\(497\) | −13.1168 | − | 7.57301i | −0.588371 | − | 0.339696i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.96790 | + | 1.71352i | −0.132861 | + | 0.0767076i | −0.564958 | − | 0.825120i | \(-0.691107\pi\) |
0.432096 | + | 0.901828i | \(0.357774\pi\) | |||||||
\(500\) | 18.2973 | + | 0.809827i | 0.818278 | + | 0.0362166i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 11.4225 | − | 10.9281i | 0.509810 | − | 0.487746i | ||||
\(503\) | 19.3236 | 0.861597 | 0.430799 | − | 0.902448i | \(-0.358232\pi\) | ||||
0.430799 | + | 0.902448i | \(0.358232\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.11684 | −0.138698 | ||||||||
\(506\) | −1.66332 | + | 1.59133i | −0.0739434 | + | 0.0707431i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 15.2949 | + | 0.676943i | 0.678600 | + | 0.0300345i | ||||
\(509\) | −12.8139 | + | 7.39809i | −0.567964 | + | 0.327914i | −0.756336 | − | 0.654183i | \(-0.773012\pi\) |
0.188372 | + | 0.982098i | \(0.439679\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.72601 | + | 2.15121i | 0.164829 | + | 0.0951641i | ||||
\(512\) | −18.8477 | + | 12.5205i | −0.832960 | + | 0.553333i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 5.94158 | − | 20.3620i | 0.262072 | − | 0.898129i | ||||
\(515\) | −0.599485 | + | 1.03834i | −0.0264165 | + | 0.0457547i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.302985 | − | 0.524785i | −0.0133252 | − | 0.0230800i | ||||
\(518\) | 11.8212 | − | 2.88889i | 0.519395 | − | 0.126931i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.28953 | + | 16.6154i | 0.144255 | + | 0.728632i | ||||
\(521\) | − | 26.0357i | − | 1.14064i | −0.821421 | − | 0.570322i | \(-0.806819\pi\) | ||
0.821421 | − | 0.570322i | \(-0.193181\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 9.40571i | 0.411283i | 0.978627 | + | 0.205641i | \(0.0659281\pi\) | ||||
−0.978627 | + | 0.205641i | \(0.934072\pi\) | |||||||
\(524\) | −13.5580 | + | 7.04758i | −0.592286 | + | 0.307875i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.39187 | − | 38.4311i | −0.409505 | − | 1.67568i | ||||
\(527\) | −3.22060 | − | 5.57825i | −0.140292 | − | 0.242992i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 6.31386 | − | 10.9359i | 0.274516 | − | 0.475475i | ||||
\(530\) | −6.44121 | − | 1.87953i | −0.279788 | − | 0.0816415i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −10.1168 | − | 6.45364i | −0.438621 | − | 0.279801i | ||||
\(533\) | −13.9307 | − | 8.04290i | −0.603406 | − | 0.348376i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 27.4692 | − | 15.8593i | 1.18760 | − | 0.685659i | ||||
\(536\) | 20.6957 | + | 7.04593i | 0.893917 | + | 0.304338i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 21.0040 | + | 21.9542i | 0.905546 | + | 0.946511i | ||||
\(539\) | 2.71519 | 0.116952 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −8.97825 | −0.386005 | −0.193003 | − | 0.981198i | \(-0.561823\pi\) | ||||
−0.193003 | + | 0.981198i | \(0.561823\pi\) | |||||||
\(542\) | 29.2979 | + | 30.6233i | 1.25845 | + | 1.31538i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.80007 | + | 3.49951i | 0.120052 | + | 0.150040i | ||||
\(545\) | 29.4891 | − | 17.0256i | 1.26318 | − | 0.729295i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −19.2591 | − | 11.1192i | −0.823458 | − | 0.475424i | 0.0281494 | − | 0.999604i | \(-0.491039\pi\) |
−0.851608 | + | 0.524180i | \(0.824372\pi\) | |||||||
\(548\) | 5.90627 | − | 9.25878i | 0.252303 | − | 0.395515i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.941578 | − | 0.274750i | −0.0401490 | − | 0.0117154i | ||||
\(551\) | −5.93580 | + | 10.2811i | −0.252873 | + | 0.437990i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −6.30298 | − | 10.9171i | −0.268030 | − | 0.464242i | ||||
\(554\) | −2.13936 | − | 8.75415i | −0.0908925 | − | 0.371928i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −14.1911 | − | 27.3007i | −0.601838 | − | 1.15781i | ||||
\(557\) | − | 7.22316i | − | 0.306055i | −0.988222 | − | 0.153027i | \(-0.951098\pi\) | ||
0.988222 | − | 0.153027i | \(-0.0489023\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 18.3365i | 0.775549i | ||||||||
\(560\) | −12.8320 | − | 1.13811i | −0.542253 | − | 0.0480938i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −31.6163 | + | 7.72645i | −1.33365 | + | 0.325921i | ||||
\(563\) | −7.89288 | − | 13.6709i | −0.332645 | − | 0.576158i | 0.650384 | − | 0.759605i | \(-0.274608\pi\) |
−0.983030 | + | 0.183447i | \(0.941274\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 9.18614 | − | 15.9109i | 0.386464 | − | 0.669375i | ||||
\(566\) | 3.91416 | − | 13.4140i | 0.164525 | − | 0.563831i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −22.1168 | − | 25.2651i | −0.928002 | − | 1.06010i | ||||
\(569\) | 21.9891 | + | 12.6954i | 0.921832 | + | 0.532220i | 0.884219 | − | 0.467072i | \(-0.154691\pi\) |
0.0376130 | + | 0.999292i | \(0.488025\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.66146 | − | 2.11395i | 0.153227 | − | 0.0884659i | −0.421426 | − | 0.906863i | \(-0.638470\pi\) |
0.574653 | + | 0.818397i | \(0.305137\pi\) | |||||||
\(572\) | −0.106028 | + | 2.39560i | −0.00443324 | + | 0.100165i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 8.84018 | − | 8.45757i | 0.368982 | − | 0.353012i | ||||
\(575\) | −4.41957 | −0.184309 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 31.8397 | 1.32550 | 0.662751 | − | 0.748840i | \(-0.269389\pi\) | ||||
0.662751 | + | 0.748840i | \(0.269389\pi\) | |||||||
\(578\) | −16.7303 | + | 16.0062i | −0.695890 | + | 0.665771i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.563516 | + | 12.7321i | −0.0233987 | + | 0.528672i | ||||
\(581\) | 8.44158 | − | 4.87375i | 0.350216 | − | 0.202197i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.822662 | − | 0.474964i | −0.0340712 | − | 0.0196710i | ||||
\(584\) | 6.28258 | + | 7.17687i | 0.259975 | + | 0.296981i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −9.23369 | + | 31.6442i | −0.381440 | + | 1.30721i | ||||
\(587\) | 1.95708 | − | 3.38977i | 0.0807774 | − | 0.139911i | −0.822807 | − | 0.568321i | \(-0.807593\pi\) |
0.903584 | + | 0.428411i | \(0.140926\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 19.1168 | + | 33.1113i | 0.787696 | + | 1.36433i | ||||
\(590\) | −42.9222 | + | 10.4894i | −1.76708 | + | 0.431842i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 26.8728 | + | 2.38342i | 1.10446 | + | 0.0979578i | ||||
\(593\) | 8.80773i | 0.361690i | 0.983512 | + | 0.180845i | \(0.0578833\pi\) | ||||
−0.983512 | + | 0.180845i | \(0.942117\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.55164i | 0.104607i | ||||||||
\(596\) | −11.9148 | − | 22.9215i | −0.488049 | − | 0.938902i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 2.56502 | + | 10.4960i | 0.104892 | + | 0.429212i | ||||
\(599\) | −0.0940770 | − | 0.162946i | −0.00384388 | − | 0.00665780i | 0.864097 | − | 0.503325i | \(-0.167890\pi\) |
−0.867941 | + | 0.496667i | \(0.834557\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.98913 | + | 13.8376i | −0.325883 | + | 0.564446i | −0.981691 | − | 0.190482i | \(-0.938995\pi\) |
0.655807 | + | 0.754928i | \(0.272328\pi\) | |||||||
\(602\) | −13.3878 | − | 3.90653i | −0.545647 | − | 0.159218i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 3.25544 | − | 5.10328i | 0.132462 | − | 0.207650i | ||||
\(605\) | 23.4891 | + | 13.5615i | 0.954969 | + | 0.551351i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.44378 | + | 1.98827i | −0.139779 | + | 0.0807013i | −0.568259 | − | 0.822850i | \(-0.692383\pi\) |
0.428480 | + | 0.903551i | \(0.359049\pi\) | |||||||
\(608\) | −16.6207 | − | 20.7724i | −0.674057 | − | 0.842432i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 5.85455 | + | 6.11940i | 0.237044 | + | 0.247767i | ||||
\(611\) | −2.84429 | −0.115068 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4.23369 | 0.170997 | 0.0854985 | − | 0.996338i | \(-0.472752\pi\) | ||||
0.0854985 | + | 0.996338i | \(0.472752\pi\) | |||||||
\(614\) | −1.17443 | − | 1.22756i | −0.0473960 | − | 0.0495401i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.72648 | − | 0.587788i | −0.0695620 | − | 0.0236827i | ||||
\(617\) | 4.24456 | − | 2.45060i | 0.170880 | − | 0.0986574i | −0.412121 | − | 0.911129i | \(-0.635212\pi\) |
0.583001 | + | 0.812472i | \(0.301879\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −8.08103 | − | 4.66559i | −0.324804 | − | 0.187526i | 0.328728 | − | 0.944425i | \(-0.393380\pi\) |
−0.653532 | + | 0.756899i | \(0.726713\pi\) | |||||||
\(620\) | 34.6040 | + | 22.0742i | 1.38973 | + | 0.886522i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −25.9783 | − | 7.58039i | −1.04163 | − | 0.303946i | ||||
\(623\) | 7.64018 | − | 13.2332i | 0.306097 | − | 0.530176i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 14.9891 | + | 25.9619i | 0.599565 | + | 1.03848i | ||||
\(626\) | 6.20732 | + | 25.4001i | 0.248095 | + | 1.01519i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −21.0489 | + | 10.9414i | −0.839944 | + | 0.436610i | ||||
\(629\) | − | 5.34363i | − | 0.213064i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 42.8752i | − | 1.70683i | −0.521228 | − | 0.853417i | \(-0.674526\pi\) | ||
0.521228 | − | 0.853417i | \(-0.325474\pi\) | |||||||
\(632\) | −5.42758 | − | 27.4147i | −0.215898 | − | 1.09050i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −44.6775 | + | 10.9184i | −1.77437 | + | 0.433624i | ||||
\(635\) | 9.66181 | + | 16.7347i | 0.383417 | + | 0.664098i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.37228 | − | 11.0371i | 0.252479 | − | 0.437306i | ||||
\(638\) | −0.505408 | + | 1.73205i | −0.0200093 | + | 0.0685725i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −26.1168 | − | 11.5569i | −1.03236 | − | 0.456827i | ||||
\(641\) | −18.1277 | − | 10.4660i | −0.716002 | − | 0.413384i | 0.0972775 | − | 0.995257i | \(-0.468987\pi\) |
−0.813279 | + | 0.581873i | \(0.802320\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 31.1307 | − | 17.9733i | 1.22767 | − | 0.708798i | 0.261131 | − | 0.965303i | \(-0.415905\pi\) |
0.966543 | + | 0.256506i | \(0.0825713\pi\) | |||||||
\(644\) | −8.20979 | − | 0.363361i | −0.323511 | − | 0.0143184i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.80749 | + | 3.64270i | −0.149804 | + | 0.143320i | ||||
\(647\) | −46.0993 | −1.81235 | −0.906174 | − | 0.422904i | \(-0.861011\pi\) | ||||
−0.906174 | + | 0.422904i | \(0.861011\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −6.25544 | −0.245547 | ||||||||
\(650\) | −3.32663 | + | 3.18265i | −0.130481 | + | 0.124834i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.49815 | − | 0.154826i | −0.136998 | − | 0.00606346i | ||||
\(653\) | −3.81386 | + | 2.20193i | −0.149248 | + | 0.0861683i | −0.572764 | − | 0.819720i | \(-0.694129\pi\) |
0.423516 | + | 0.905888i | \(0.360796\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −16.7025 | − | 9.64319i | −0.652621 | − | 0.376791i | ||||
\(656\) | 24.5954 | − | 11.4333i | 0.960288 | − | 0.446394i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.605969 | − | 2.07668i | 0.0236231 | − | 0.0809573i | ||||
\(659\) | 6.02987 | − | 10.4440i | 0.234891 | − | 0.406842i | −0.724350 | − | 0.689432i | \(-0.757860\pi\) |
0.959241 | + | 0.282590i | \(0.0911935\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.81386 | − | 13.5340i | −0.303924 | − | 0.526412i | 0.673097 | − | 0.739554i | \(-0.264964\pi\) |
−0.977021 | + | 0.213142i | \(0.931630\pi\) | |||||||
\(662\) | −38.1118 | + | 9.31383i | −1.48126 | + | 0.361992i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 21.1982 | − | 4.19685i | 0.822651 | − | 0.162869i | ||||
\(665\) | − | 15.1460i | − | 0.587338i | ||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 8.12989i | 0.314791i | ||||||||
\(668\) | 31.0375 | − | 16.1336i | 1.20088 | − | 0.624226i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 6.55065 | + | 26.8050i | 0.253074 | + | 1.03557i | ||||
\(671\) | 0.599485 | + | 1.03834i | 0.0231429 | + | 0.0400846i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.9307 | + | 25.8607i | −0.575536 | + | 0.996858i | 0.420447 | + | 0.907317i | \(0.361873\pi\) |
−0.995983 | + | 0.0895410i | \(0.971460\pi\) | |||||||
\(674\) | −21.3748 | − | 6.23711i | −0.823326 | − | 0.240244i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −12.4307 | − | 7.92967i | −0.478104 | − | 0.304987i | ||||
\(677\) | 3.04755 | + | 1.75950i | 0.117127 | + | 0.0676232i | 0.557419 | − | 0.830231i | \(-0.311792\pi\) |
−0.440292 | + | 0.897855i | \(0.645125\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −11.5894 | + | 6.69112i | −0.444759 | + | 0.256782i | ||||
\(680\) | −1.82314 | + | 5.35501i | −0.0699140 | + | 0.205355i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 4.01704 | + | 4.19877i | 0.153821 | + | 0.160779i | ||||
\(683\) | 20.0172 | 0.765936 | 0.382968 | − | 0.923762i | \(-0.374902\pi\) | ||||
0.382968 | + | 0.923762i | \(0.374902\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 13.8614 | 0.529617 | ||||||||
\(686\) | 15.4319 | + | 16.1300i | 0.589193 | + | 0.615847i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −25.3052 | − | 17.7640i | −0.964752 | − | 0.677246i | ||||
\(689\) | −3.86141 | + | 2.22938i | −0.147108 | + | 0.0849328i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 17.3961 | + | 10.0436i | 0.661777 | + | 0.382077i | 0.792954 | − | 0.609282i | \(-0.208542\pi\) |
−0.131177 | + | 0.991359i | \(0.541875\pi\) | |||||||
\(692\) | −19.0064 | + | 29.7947i | −0.722513 | + | 1.13263i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 9.43070 | + | 2.75186i | 0.357985 | + | 0.104459i | ||||
\(695\) | 19.4177 | − | 33.6324i | 0.736555 | − | 1.27575i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.68614 | − | 4.65253i | −0.101745 | − | 0.176227i | ||||
\(698\) | 1.88938 | + | 7.73128i | 0.0715143 | + | 0.292633i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.61499 | − | 3.10690i | −0.0610409 | − | 0.117430i | ||||
\(701\) | − | 32.7615i | − | 1.23738i | −0.785634 | − | 0.618692i | \(-0.787663\pi\) | ||
0.785634 | − | 0.618692i | \(-0.212337\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 31.7187i | 1.19629i | ||||||||
\(704\) | −3.20332 | − | 2.46713i | −0.120730 | − | 0.0929834i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 11.4921 | − | 2.80847i | 0.432512 | − | 0.105698i | ||||
\(707\) | −0.787639 | − | 1.36423i | −0.0296222 | − | 0.0513072i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −11.9307 | + | 20.6646i | −0.448067 | + | 0.776075i | −0.998260 | − | 0.0589626i | \(-0.981221\pi\) |
0.550193 | + | 0.835037i | \(0.314554\pi\) | |||||||
\(710\) | 11.8716 | − | 40.6844i | 0.445533 | − | 1.52686i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 25.4891 | − | 22.3130i | 0.955245 | − | 0.836215i | ||||
\(713\) | 22.6753 | + | 13.0916i | 0.849195 | + | 0.490283i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.62112 | + | 1.51330i | −0.0980242 | + | 0.0565943i | ||||
\(716\) | −0.781666 | + | 17.6610i | −0.0292122 | + | 0.660023i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −1.41746 | + | 1.35611i | −0.0528991 | + | 0.0506096i | ||||
\(719\) | −16.2912 | −0.607558 | −0.303779 | − | 0.952743i | \(-0.598248\pi\) | ||||
−0.303779 | + | 0.952743i | \(0.598248\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.605969 | −0.0225675 | ||||||||
\(722\) | 3.18501 | − | 3.04716i | 0.118534 | − | 0.113403i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.353729 | + | 7.99218i | −0.0131463 | + | 0.297027i | ||||
\(725\) | −3.00000 | + | 1.73205i | −0.111417 | + | 0.0643268i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −32.9937 | − | 19.0489i | −1.22367 | − | 0.706485i | −0.257969 | − | 0.966153i | \(-0.583053\pi\) |
−0.965698 | + | 0.259668i | \(0.916387\pi\) | |||||||
\(728\) | −6.44121 | + | 5.63858i | −0.238727 | + | 0.208980i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −3.37228 | + | 11.5569i | −0.124814 | + | 0.427741i | ||||
\(731\) | −3.06198 | + | 5.30350i | −0.113251 | + | 0.196157i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.186141 | − | 0.322405i | −0.00687526 | − | 0.0119083i | 0.862567 | − | 0.505942i | \(-0.168855\pi\) |
−0.869443 | + | 0.494034i | \(0.835522\pi\) | |||||||
\(734\) | 8.76352 | − | 2.14165i | 0.323467 | − | 0.0790496i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −16.9699 | − | 6.62842i | −0.625518 | − | 0.244327i | ||||
\(737\) | 3.90653i | 0.143899i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 6.45364i | − | 0.237401i | −0.992930 | − | 0.118700i | \(-0.962127\pi\) | ||
0.992930 | − | 0.118700i | \(-0.0378728\pi\) | |||||||
\(740\) | 15.7050 | + | 30.2131i | 0.577328 | + | 1.11066i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.805056 | − | 3.29426i | −0.0295546 | − | 0.120936i | ||||
\(743\) | −10.5785 | − | 18.3226i | −0.388089 | − | 0.672190i | 0.604103 | − | 0.796906i | \(-0.293531\pi\) |
−0.992193 | + | 0.124716i | \(0.960198\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 16.3030 | − | 28.2376i | 0.597295 | − | 1.03455i | ||||
\(746\) | −26.9638 | − | 7.86797i | −0.987215 | − | 0.288067i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.430703 | + | 0.675178i | −0.0157481 | + | 0.0246870i | ||||
\(749\) | 13.8832 | + | 8.01544i | 0.507279 | + | 0.292878i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −18.7832 | + | 10.8445i | −0.685408 | + | 0.395721i | −0.801890 | − | 0.597472i | \(-0.796172\pi\) |
0.116481 | + | 0.993193i | \(0.462838\pi\) | |||||||
\(752\) | 2.75550 | − | 3.92527i | 0.100483 | − | 0.143140i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 5.85455 | + | 6.11940i | 0.213210 | + | 0.222855i | ||||
\(755\) | 7.64018 | 0.278054 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 14.0000 | 0.508839 | 0.254419 | − | 0.967094i | \(-0.418116\pi\) | ||||
0.254419 | + | 0.967094i | \(0.418116\pi\) | |||||||
\(758\) | −6.30935 | − | 6.59477i | −0.229166 | − | 0.239533i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 10.8218 | − | 31.7863i | 0.392547 | − | 1.15301i | ||||
\(761\) | −15.0475 | + | 8.68771i | −0.545473 | + | 0.314929i | −0.747294 | − | 0.664493i | \(-0.768647\pi\) |
0.201821 | + | 0.979422i | \(0.435314\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 14.9040 | + | 8.60485i | 0.539563 | + | 0.311517i | ||||
\(764\) | −25.4476 | − | 16.2333i | −0.920661 | − | 0.587299i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −11.7446 | − | 3.42703i | −0.424348 | − | 0.123824i | ||||
\(767\) | −14.6809 | + | 25.4280i | −0.530095 | + | 0.918152i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −4.04755 | − | 7.01056i | −0.145958 | − | 0.252807i | 0.783772 | − | 0.621049i | \(-0.213293\pi\) |
−0.929730 | + | 0.368242i | \(0.879960\pi\) | |||||||
\(770\) | −0.546471 | − | 2.23614i | −0.0196935 | − | 0.0805848i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −13.7433 | + | 7.14387i | −0.494632 | + | 0.257114i | ||||
\(773\) | − | 0.699713i | − | 0.0251669i | −0.999921 | − | 0.0125835i | \(-0.995994\pi\) | ||
0.999921 | − | 0.0125835i | \(-0.00400555\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 11.1565i | 0.400753i | ||||||||
\(776\) | −29.1028 | + | 5.76181i | −1.04473 | + | 0.206837i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 43.3110 | − | 10.5844i | 1.55278 | − | 0.379470i | ||||
\(779\) | 15.9444 | + | 27.6165i | 0.571267 | + | 0.989463i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.00000 | − | 5.19615i | 0.107348 | − | 0.185933i | ||||
\(782\) | −1.01082 | + | 3.46410i | −0.0361467 | + | 0.123876i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 9.05842 | + | 19.4866i | 0.323515 | + | 0.695950i | ||||
\(785\) | −25.9307 | − | 14.9711i | −0.925506 | − | 0.534341i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 30.0903 | − | 17.3727i | 1.07260 | − | 0.619268i | 0.143712 | − | 0.989620i | \(-0.454096\pi\) |
0.928892 | + | 0.370351i | \(0.120763\pi\) | |||||||
\(788\) | 47.8607 | + | 2.11829i | 1.70497 | + | 0.0754609i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 25.4876 | − | 24.3845i | 0.906809 | − | 0.867562i | ||||
\(791\) | 9.28550 | 0.330154 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 5.62772 | 0.199846 | ||||||||
\(794\) | 19.1545 | − | 18.3255i | 0.679767 | − | 0.650347i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 25.7893 | + | 1.14142i | 0.914078 | + | 0.0404566i | ||||
\(797\) | −20.6970 | + | 11.9494i | −0.733126 | + | 0.423270i | −0.819565 | − | 0.572987i | \(-0.805785\pi\) |
0.0864387 | + | 0.996257i | \(0.472451\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.822662 | − | 0.474964i | −0.0291037 | − | 0.0168030i | ||||
\(800\) | −1.16944 | − | 7.67420i | −0.0413461 | − | 0.271324i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 1.82473 | − | 6.25343i | 0.0644336 | − | 0.220816i | ||||
\(803\) | −0.852189 | + | 1.47603i | −0.0300731 | + | 0.0520881i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −5.18614 | − | 8.98266i | −0.182787 | − | 0.316597i | ||||
\(806\) | 26.4954 | − | 6.47498i | 0.933259 | − | 0.228072i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.678246 | − | 3.42581i | −0.0238606 | − | 0.120520i | ||||
\(809\) | 35.8381i | 1.26000i | 0.776595 | + | 0.630000i | \(0.216945\pi\) | ||||
−0.776595 | + | 0.630000i | \(0.783055\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 1.20128i | − | 0.0421828i | −0.999778 | − | 0.0210914i | \(-0.993286\pi\) | ||
0.999778 | − | 0.0210914i | \(-0.00671410\pi\) | |||||||
\(812\) | −5.71519 | + | 2.97080i | −0.200564 | + | 0.104255i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 1.14442 | + | 4.68290i | 0.0401118 | + | 0.164136i | ||||
\(815\) | −2.20979 | − | 3.82746i | −0.0774054 | − | 0.134070i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 18.1753 | − | 31.4805i | 0.635872 | − | 1.10136i | ||||
\(818\) | 18.6596 | + | 5.44482i | 0.652417 | + | 0.190374i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 28.8614 | + | 18.4110i | 1.00788 | + | 0.642940i | ||||
\(821\) | 15.8139 | + | 9.13014i | 0.551907 | + | 0.318644i | 0.749891 | − | 0.661561i | \(-0.230106\pi\) |
−0.197983 | + | 0.980205i | \(0.563439\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −12.1538 | + | 7.01701i | −0.423656 | + | 0.244598i | −0.696640 | − | 0.717421i | \(-0.745323\pi\) |
0.272984 | + | 0.962018i | \(0.411989\pi\) | |||||||
\(824\) | −1.27172 | − | 0.432962i | −0.0443025 | − | 0.0150829i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −15.4378 | − | 16.1362i | −0.537149 | − | 0.561449i | ||||
\(827\) | 47.4864 | 1.65126 | 0.825632 | − | 0.564210i | \(-0.190819\pi\) | ||||
0.825632 | + | 0.564210i | \(0.190819\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −48.2337 | −1.67523 | −0.837613 | − | 0.546265i | \(-0.816049\pi\) | ||||
−0.837613 | + | 0.546265i | \(0.816049\pi\) | |||||||
\(830\) | 18.8552 | + | 19.7082i | 0.654473 | + | 0.684080i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −17.5466 | + | 7.23123i | −0.608319 | + | 0.250698i | ||||
\(833\) | 3.68614 | − | 2.12819i | 0.127717 | − | 0.0737376i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 38.2359 | + | 22.0755i | 1.32321 | + | 0.763954i | ||||
\(836\) | 2.55657 | − | 4.00772i | 0.0884207 | − | 0.138610i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 36.6060 | + | 10.6815i | 1.26453 | + | 0.368987i | ||||
\(839\) | −21.3102 | + | 36.9104i | −0.735711 | + | 1.27429i | 0.218700 | + | 0.975792i | \(0.429818\pi\) |
−0.954411 | + | 0.298496i | \(0.903515\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −11.3139 | − | 19.5962i | −0.390133 | − | 0.675730i | ||||
\(842\) | 3.56072 | + | 14.5703i | 0.122711 | + | 0.502127i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 16.1755 | + | 31.1182i | 0.556783 | + | 1.07113i | ||||
\(845\) | − | 18.6101i | − | 0.640208i | ||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 13.7081i | 0.471017i | ||||||||
\(848\) | 0.664194 | − | 7.48871i | 0.0228085 | − | 0.257163i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −1.49364 | + | 0.365017i | −0.0512313 | + | 0.0125200i | ||||
\(851\) | 10.8608 | + | 18.8114i | 0.372303 | + | 0.644847i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −22.3030 | + | 38.6299i | −0.763640 | + | 1.32266i | 0.177323 | + | 0.984153i | \(0.443256\pi\) |
−0.940963 | + | 0.338510i | \(0.890077\pi\) | |||||||
\(854\) | −1.19897 | + | 4.10891i | −0.0410279 | + | 0.140604i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 23.4090 | + | 26.7411i | 0.800102 | + | 0.913992i | ||||
\(857\) | −32.5367 | − | 18.7851i | −1.11143 | − | 0.641685i | −0.172232 | − | 0.985056i | \(-0.555098\pi\) |
−0.939200 | + | 0.343371i | \(0.888431\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 1.58077 | − | 0.912661i | 0.0539353 | − | 0.0311396i | −0.472790 | − | 0.881175i | \(-0.656753\pi\) |
0.526725 | + | 0.850036i | \(0.323420\pi\) | |||||||
\(860\) | 1.72547 | − | 38.9854i | 0.0588381 | − | 1.32939i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −31.8774 | + | 30.4977i | −1.08575 | + | 1.03876i | ||||
\(863\) | −40.0344 | −1.36279 | −0.681393 | − | 0.731918i | \(-0.738625\pi\) | ||||
−0.681393 | + | 0.731918i | \(0.738625\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −44.6060 | −1.51665 | ||||||||
\(866\) | 8.81640 | − | 8.43482i | 0.299593 | − | 0.286627i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.917245 | + | 20.7243i | −0.0311333 | + | 0.703428i | ||||
\(869\) | 4.32473 | − | 2.49689i | 0.146707 | − | 0.0847011i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 15.8798 | + | 9.16823i | 0.538068 | + | 0.310654i | ||||
\(872\) | 25.1303 | + | 28.7075i | 0.851020 | + | 0.972158i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 6.00000 | − | 20.5622i | 0.202953 | − | 0.695527i | ||||
\(875\) | −5.84172 | + | 10.1182i | −0.197486 | + | 0.342056i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −10.8139 | − | 18.7302i | −0.365158 | − | 0.632472i | 0.623643 | − | 0.781709i | \(-0.285652\pi\) |
−0.988802 | + | 0.149237i | \(0.952318\pi\) | |||||||
\(878\) | −8.96831 | + | 2.19169i | −0.302666 | + | 0.0739661i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.450854 | − | 5.08333i | 0.0151983 | − | 0.171359i | ||||
\(881\) | 52.9562i | 1.78414i | 0.451898 | + | 0.892070i | \(0.350747\pi\) | ||||
−0.451898 | + | 0.892070i | \(0.649253\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 20.0127i | − | 0.673481i | −0.941597 | − | 0.336741i | \(-0.890675\pi\) | ||
0.941597 | − | 0.336741i | \(-0.109325\pi\) | |||||||
\(884\) | 1.73375 | + | 3.33536i | 0.0583122 | + | 0.112180i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −4.15531 | − | 17.0033i | −0.139600 | − | 0.571239i | ||||
\(887\) | −9.75588 | − | 16.8977i | −0.327571 | − | 0.567369i | 0.654459 | − | 0.756098i | \(-0.272897\pi\) |
−0.982029 | + | 0.188729i | \(0.939563\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −4.88316 | + | 8.45787i | −0.163776 | + | 0.283668i | ||||
\(890\) | 41.0452 | + | 11.9769i | 1.37584 | + | 0.401466i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −8.74456 | + | 13.7081i | −0.292790 | + | 0.458982i | ||||
\(893\) | 4.88316 | + | 2.81929i | 0.163409 | + | 0.0943440i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −19.3236 | + | 11.1565i | −0.645917 | + | 0.372920i | ||||
\(896\) | −1.54141 | − | 14.3517i | −0.0514949 | − | 0.479458i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −18.9686 | − | 19.8267i | −0.632991 | − | 0.661626i | ||||
\(899\) | 20.5226 | 0.684467 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.48913 | −0.0496100 | ||||||||
\(902\) | 3.35041 | + | 3.50198i | 0.111557 | + | 0.116603i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 19.4871 | + | 6.63444i | 0.648130 | + | 0.220658i | ||||
\(905\) | −8.74456 | + | 5.04868i | −0.290679 | + | 0.167824i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −25.8884 | − | 14.9467i | −0.859611 | − | 0.496297i | 0.00427097 | − | 0.999991i | \(-0.498641\pi\) |
−0.863882 | + | 0.503694i | \(0.831974\pi\) | |||||||
\(908\) | −24.2781 | − | 15.4873i | −0.805698 | − | 0.513963i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −10.3723 | − | 3.02661i | −0.343838 | − | 0.100331i | ||||
\(911\) | 17.9015 | − | 31.0063i | 0.593102 | − | 1.02728i | −0.400710 | − | 0.916205i | \(-0.631236\pi\) |
0.993812 | − | 0.111078i | \(-0.0354303\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.93070 | + | 3.34408i | 0.0638970 | + | 0.110673i | ||||
\(914\) | −13.4218 | − | 54.9215i | −0.443955 | − | 1.81664i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −6.43765 | + | 3.34634i | −0.212706 | + | 0.110566i | ||||
\(917\) | − | 9.74749i | − | 0.321891i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 36.9711i | − | 1.21956i | −0.792570 | − | 0.609781i | \(-0.791257\pi\) | ||
0.792570 | − | 0.609781i | \(-0.208743\pi\) | |||||||
\(920\) | −4.46585 | − | 22.5570i | −0.147235 | − | 0.743681i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0.480628 | − | 0.117457i | 0.0158286 | − | 0.00386823i | ||||
\(923\) | −14.0814 | − | 24.3897i | −0.463494 | − | 0.802796i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.62772 | + | 8.01544i | −0.152158 | + | 0.263546i | ||||
\(926\) | −1.89253 | + | 6.48577i | −0.0621925 | + | 0.213136i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −14.1168 | + | 2.15121i | −0.463408 | + | 0.0706170i | ||||
\(929\) | −16.0693 | − | 9.27761i | −0.527217 | − | 0.304389i | 0.212666 | − | 0.977125i | \(-0.431785\pi\) |
−0.739882 | + | 0.672736i | \(0.765119\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −21.8802 | + | 12.6325i | −0.717094 | + | 0.414014i | ||||
\(932\) | −9.68311 | − | 0.428569i | −0.317181 | − | 0.0140383i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 5.22495 | − | 4.99882i | 0.170966 | − | 0.163566i | ||||
\(935\) | −1.01082 | −0.0330572 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 45.7228 | 1.49370 | 0.746850 | − | 0.664993i | \(-0.231565\pi\) | ||||
0.746850 | + | 0.664993i | \(0.231565\pi\) | |||||||
\(938\) | −10.0771 | + | 9.64092i | −0.329028 | + | 0.314787i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 6.04729 | + | 0.267650i | 0.197241 | + | 0.00872978i | ||||
\(941\) | −11.6970 | + | 6.75327i | −0.381312 | + | 0.220150i | −0.678389 | − | 0.734703i | \(-0.737322\pi\) |
0.297077 | + | 0.954854i | \(0.403988\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 18.9123 | + | 10.9190i | 0.615869 | + | 0.355572i | ||||
\(944\) | −20.8694 | − | 44.8945i | −0.679240 | − | 1.46119i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.54755 | − | 5.30350i | 0.0503151 | − | 0.172432i | ||||
\(947\) | −3.28515 | + | 5.69005i | −0.106753 | + | 0.184902i | −0.914453 | − | 0.404692i | \(-0.867379\pi\) |
0.807700 | + | 0.589594i | \(0.200712\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.00000 | + | 6.92820i | 0.129845 | + | 0.224899i | ||||
\(950\) | 8.86592 | − | 2.16667i | 0.287648 | − | 0.0702960i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.80458 | + | 0.555254i | −0.0908971 | + | 0.0179959i | ||||
\(953\) | 10.2997i | 0.333641i | 0.985987 | + | 0.166821i | \(0.0533500\pi\) | ||||
−0.985987 | + | 0.166821i | \(0.946650\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 38.0978i | − | 1.23282i | ||||||
\(956\) | −21.4009 | + | 11.1244i | −0.692155 | + | 0.359788i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −4.38816 | − | 17.9562i | −0.141775 | − | 0.580137i | ||||
\(959\) | 3.50283 | + | 6.06709i | 0.113112 | + | 0.195916i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 17.5475 | − | 30.3932i | 0.566050 | − | 0.980427i | ||||
\(962\) | 21.7216 | + | 6.33830i | 0.700331 | + | 0.204355i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −10.9416 | − | 6.97975i | −0.352404 | − | 0.224802i | ||||
\(965\) | −16.9307 | − | 9.77495i | −0.545019 | − | 0.314667i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −40.5748 | + | 23.4259i | −1.30480 | + | 0.753325i | −0.981223 | − | 0.192878i | \(-0.938218\pi\) |
−0.323574 | + | 0.946203i | \(0.604885\pi\) | |||||||
\(968\) | −9.79440 | + | 28.7686i | −0.314804 | + | 0.924659i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −25.8861 | − | 27.0571i | −0.831152 | − | 0.868753i | ||||
\(971\) | −37.0019 | −1.18745 | −0.593724 | − | 0.804669i | \(-0.702343\pi\) | ||||
−0.593724 | + | 0.804669i | \(0.702343\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 19.6277 | 0.629236 | ||||||||
\(974\) | −41.9166 | − | 43.8128i | −1.34309 | − | 1.40385i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −5.45202 | + | 7.76653i | −0.174515 | + | 0.248601i | ||||
\(977\) | 47.3614 | − | 27.3441i | 1.51523 | − | 0.874816i | 0.515385 | − | 0.856959i | \(-0.327649\pi\) |
0.999841 | − | 0.0178572i | \(-0.00568444\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 5.24224 | + | 3.02661i | 0.167543 | + | 0.0967307i | ||||
\(980\) | −14.5868 | + | 22.8665i | −0.465958 | + | 0.730444i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −18.6861 | − | 5.45257i | −0.596299 | − | 0.173998i | ||||
\(983\) | 17.2079 | − | 29.8050i | 0.548847 | − | 0.950631i | −0.449507 | − | 0.893277i | \(-0.648400\pi\) |
0.998354 | − | 0.0573540i | \(-0.0182664\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 30.2337 | + | 52.3663i | 0.963325 | + | 1.66853i | ||||
\(986\) | 0.671457 | + | 2.74757i | 0.0213835 | + | 0.0875005i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −10.2912 | − | 19.7980i | −0.327406 | − | 0.629859i | ||||
\(989\) | − | 24.8935i | − | 0.791568i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 7.65492i | − | 0.243167i | −0.992581 | − | 0.121583i | \(-0.961203\pi\) | ||
0.992581 | − | 0.121583i | \(-0.0387972\pi\) | |||||||
\(992\) | −16.7324 | + | 42.8377i | −0.531253 | + | 1.36010i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 20.8074 | − | 5.08495i | 0.659970 | − | 0.161285i | ||||
\(995\) | 16.2912 | + | 28.2171i | 0.516465 | + | 0.894543i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 12.0693 | − | 20.9046i | 0.382238 | − | 0.662056i | −0.609143 | − | 0.793060i | \(-0.708487\pi\) |
0.991382 | + | 0.131004i | \(0.0418200\pi\) | |||||||
\(998\) | 1.35760 | − | 4.65253i | 0.0429740 | − | 0.147273i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))