Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(55,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.x (of order \(14\), degree \(6\), 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: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 55.14 | ||
Character | \(\chi\) | \(=\) | 588.55 |
Dual form | 588.2.x.b.139.14 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.225403 | − | 1.39614i | −0.159384 | − | 0.987217i | ||||
\(3\) | 0.900969 | + | 0.433884i | 0.520175 | + | 0.250503i | ||||
\(4\) | −1.89839 | + | 0.629386i | −0.949194 | + | 0.314693i | ||||
\(5\) | 1.60689 | − | 3.33674i | 0.718622 | − | 1.49223i | −0.145718 | − | 0.989326i | \(-0.546549\pi\) |
0.864340 | − | 0.502908i | \(-0.167737\pi\) | |||||||
\(6\) | 0.402679 | − | 1.35567i | 0.164393 | − | 0.553451i | ||||
\(7\) | 2.64502 | + | 0.0624089i | 0.999722 | + | 0.0235883i | ||||
\(8\) | 1.30661 | + | 2.50854i | 0.461956 | + | 0.886903i | ||||
\(9\) | 0.623490 | + | 0.781831i | 0.207830 | + | 0.260610i | ||||
\(10\) | −5.02073 | − | 1.49132i | −1.58770 | − | 0.471598i | ||||
\(11\) | 4.25622 | + | 3.39422i | 1.28330 | + | 1.02340i | 0.997886 | + | 0.0649905i | \(0.0207017\pi\) |
0.285412 | + | 0.958405i | \(0.407870\pi\) | |||||||
\(12\) | −1.98347 | − | 0.256622i | −0.572578 | − | 0.0740804i | ||||
\(13\) | 1.93445 | + | 1.54267i | 0.536519 | + | 0.427860i | 0.853899 | − | 0.520439i | \(-0.174232\pi\) |
−0.317380 | + | 0.948298i | \(0.602803\pi\) | |||||||
\(14\) | −0.509063 | − | 3.70687i | −0.136053 | − | 0.990702i | ||||
\(15\) | 2.89551 | − | 2.30909i | 0.747618 | − | 0.596205i | ||||
\(16\) | 3.20775 | − | 2.38964i | 0.801937 | − | 0.597409i | ||||
\(17\) | −2.08167 | − | 0.475128i | −0.504880 | − | 0.115236i | −0.0375079 | − | 0.999296i | \(-0.511942\pi\) |
−0.467372 | + | 0.884061i | \(0.654799\pi\) | |||||||
\(18\) | 0.951006 | − | 1.04670i | 0.224154 | − | 0.246710i | ||||
\(19\) | −5.74111 | −1.31710 | −0.658551 | − | 0.752536i | \(-0.728830\pi\) | ||||
−0.658551 | + | 0.752536i | \(0.728830\pi\) | |||||||
\(20\) | −0.950400 | + | 7.34577i | −0.212516 | + | 1.64256i | ||||
\(21\) | 2.35600 | + | 1.20386i | 0.514121 | + | 0.262703i | ||||
\(22\) | 3.77943 | − | 6.70732i | 0.805776 | − | 1.43001i | ||||
\(23\) | 4.92574 | − | 1.12427i | 1.02709 | − | 0.234426i | 0.324397 | − | 0.945921i | \(-0.394839\pi\) |
0.702691 | + | 0.711495i | \(0.251982\pi\) | |||||||
\(24\) | 0.0888003 | + | 2.82703i | 0.0181263 | + | 0.577066i | ||||
\(25\) | −5.43428 | − | 6.81437i | −1.08686 | − | 1.36287i | ||||
\(26\) | 1.71775 | − | 3.04847i | 0.336878 | − | 0.597855i | ||||
\(27\) | 0.222521 | + | 0.974928i | 0.0428242 | + | 0.187625i | ||||
\(28\) | −5.06054 | + | 1.54626i | −0.956352 | + | 0.292216i | ||||
\(29\) | −1.53568 | + | 6.72825i | −0.285168 | + | 1.24940i | 0.605902 | + | 0.795539i | \(0.292812\pi\) |
−0.891070 | + | 0.453865i | \(0.850045\pi\) | |||||||
\(30\) | −3.87646 | − | 3.52205i | −0.707742 | − | 0.643035i | ||||
\(31\) | −7.93095 | −1.42444 | −0.712220 | − | 0.701956i | \(-0.752310\pi\) | ||||
−0.712220 | + | 0.701956i | \(0.752310\pi\) | |||||||
\(32\) | −4.05929 | − | 3.93982i | −0.717588 | − | 0.696468i | ||||
\(33\) | 2.36202 | + | 4.90479i | 0.411175 | + | 0.853814i | ||||
\(34\) | −0.194128 | + | 3.01339i | −0.0332927 | + | 0.516792i | ||||
\(35\) | 4.45848 | − | 8.72544i | 0.753621 | − | 1.47487i | ||||
\(36\) | −1.67570 | − | 1.09180i | −0.279283 | − | 0.181967i | ||||
\(37\) | 0.513837 | − | 2.25127i | 0.0844742 | − | 0.370106i | −0.914967 | − | 0.403528i | \(-0.867784\pi\) |
0.999441 | + | 0.0334227i | \(0.0106408\pi\) | |||||||
\(38\) | 1.29406 | + | 8.01537i | 0.209925 | + | 1.30026i | ||||
\(39\) | 1.07354 | + | 2.22922i | 0.171904 | + | 0.356961i | ||||
\(40\) | 10.4699 | − | 0.328872i | 1.65544 | − | 0.0519992i | ||||
\(41\) | 4.38965 | − | 9.11520i | 0.685548 | − | 1.42356i | −0.209600 | − | 0.977787i | \(-0.567216\pi\) |
0.895148 | − | 0.445768i | \(-0.147070\pi\) | |||||||
\(42\) | 1.14970 | − | 3.56064i | 0.177402 | − | 0.549419i | ||||
\(43\) | −4.02926 | − | 8.36685i | −0.614457 | − | 1.27593i | −0.943423 | − | 0.331591i | \(-0.892415\pi\) |
0.328966 | − | 0.944342i | \(-0.393300\pi\) | |||||||
\(44\) | −10.2162 | − | 3.76474i | −1.54015 | − | 0.567556i | ||||
\(45\) | 3.61064 | − | 0.824106i | 0.538243 | − | 0.122850i | ||||
\(46\) | −2.67991 | − | 6.62359i | −0.395131 | − | 0.976595i | ||||
\(47\) | −3.62366 | + | 4.54393i | −0.528566 | + | 0.662800i | −0.972403 | − | 0.233307i | \(-0.925045\pi\) |
0.443837 | + | 0.896107i | \(0.353617\pi\) | |||||||
\(48\) | 3.92690 | − | 0.761199i | 0.566800 | − | 0.109870i | ||||
\(49\) | 6.99221 | + | 0.330145i | 0.998887 | + | 0.0471635i | ||||
\(50\) | −8.28888 | + | 9.12296i | −1.17222 | + | 1.29018i | ||||
\(51\) | −1.66937 | − | 1.33128i | −0.233759 | − | 0.186416i | ||||
\(52\) | −4.64326 | − | 1.71107i | −0.643905 | − | 0.237283i | ||||
\(53\) | 0.00314785 | + | 0.0137916i | 0.000432390 | + | 0.00189442i | 0.975144 | − | 0.221574i | \(-0.0711193\pi\) |
−0.974711 | + | 0.223468i | \(0.928262\pi\) | |||||||
\(54\) | 1.31097 | − | 0.530421i | 0.178401 | − | 0.0721811i | ||||
\(55\) | 18.1649 | − | 8.74774i | 2.44935 | − | 1.17955i | ||||
\(56\) | 3.29945 | + | 6.71667i | 0.440907 | + | 0.897553i | ||||
\(57\) | −5.17256 | − | 2.49097i | −0.685123 | − | 0.329938i | ||||
\(58\) | 9.73969 | + | 0.627448i | 1.27888 | + | 0.0823880i | ||||
\(59\) | −5.89671 | + | 2.83970i | −0.767686 | + | 0.369698i | −0.776381 | − | 0.630264i | \(-0.782947\pi\) |
0.00869503 | + | 0.999962i | \(0.497232\pi\) | |||||||
\(60\) | −4.04349 | + | 6.20595i | −0.522012 | + | 0.801184i | ||||
\(61\) | −0.318289 | − | 0.0726475i | −0.0407528 | − | 0.00930156i | 0.202096 | − | 0.979366i | \(-0.435225\pi\) |
−0.242849 | + | 0.970064i | \(0.578082\pi\) | |||||||
\(62\) | 1.78766 | + | 11.0727i | 0.227033 | + | 1.40623i | ||||
\(63\) | 1.60035 | + | 2.10687i | 0.201625 | + | 0.265440i | ||||
\(64\) | −4.58554 | + | 6.55537i | −0.573193 | + | 0.819421i | ||||
\(65\) | 8.25592 | − | 3.97584i | 1.02402 | − | 0.493143i | ||||
\(66\) | 6.31534 | − | 4.40326i | 0.777365 | − | 0.542003i | ||||
\(67\) | − | 5.13303i | − | 0.627099i | −0.949572 | − | 0.313549i | \(-0.898482\pi\) | ||
0.949572 | − | 0.313549i | \(-0.101518\pi\) | |||||||
\(68\) | 4.25086 | − | 0.408198i | 0.515492 | − | 0.0495013i | ||||
\(69\) | 4.92574 | + | 1.12427i | 0.592990 | + | 0.135346i | ||||
\(70\) | −13.1868 | − | 4.25791i | −1.57613 | − | 0.508917i | ||||
\(71\) | −4.47445 | + | 1.02126i | −0.531020 | + | 0.121202i | −0.479620 | − | 0.877476i | \(-0.659225\pi\) |
−0.0513998 | + | 0.998678i | \(0.516368\pi\) | |||||||
\(72\) | −1.14660 | + | 2.58560i | −0.135128 | + | 0.304716i | ||||
\(73\) | −7.14065 | + | 5.69448i | −0.835750 | + | 0.666488i | −0.944836 | − | 0.327544i | \(-0.893779\pi\) |
0.109086 | + | 0.994032i | \(0.465208\pi\) | |||||||
\(74\) | −3.25889 | − | 0.209944i | −0.378838 | − | 0.0244054i | ||||
\(75\) | −1.93947 | − | 8.49738i | −0.223951 | − | 0.981193i | ||||
\(76\) | 10.8988 | − | 3.61337i | 1.25018 | − | 0.414482i | ||||
\(77\) | 11.0459 | + | 9.24339i | 1.25880 | + | 1.05338i | ||||
\(78\) | 2.87032 | − | 2.00128i | 0.325000 | − | 0.226600i | ||||
\(79\) | 3.91110i | 0.440033i | 0.975496 | + | 0.220016i | \(0.0706111\pi\) | ||||
−0.975496 | + | 0.220016i | \(0.929389\pi\) | |||||||
\(80\) | −2.81910 | − | 14.5433i | −0.315185 | − | 1.62599i | ||||
\(81\) | −0.222521 | + | 0.974928i | −0.0247245 | + | 0.108325i | ||||
\(82\) | −13.7155 | − | 4.07395i | −1.51462 | − | 0.449893i | ||||
\(83\) | −3.06742 | − | 3.84642i | −0.336693 | − | 0.422200i | 0.584447 | − | 0.811432i | \(-0.301312\pi\) |
−0.921140 | + | 0.389233i | \(0.872740\pi\) | |||||||
\(84\) | −5.23029 | − | 0.802555i | −0.570671 | − | 0.0875660i | ||||
\(85\) | −4.93039 | + | 6.18252i | −0.534776 | + | 0.670588i | ||||
\(86\) | −10.7730 | + | 7.51131i | −1.16169 | + | 0.809965i | ||||
\(87\) | −4.30288 | + | 5.39564i | −0.461317 | + | 0.578473i | ||||
\(88\) | −2.95332 | + | 15.1118i | −0.314825 | + | 1.61092i | ||||
\(89\) | −12.7313 | + | 10.1529i | −1.34952 | + | 1.07621i | −0.359824 | + | 0.933020i | \(0.617163\pi\) |
−0.989696 | + | 0.143186i | \(0.954265\pi\) | |||||||
\(90\) | −1.96441 | − | 4.85519i | −0.207067 | − | 0.511782i | ||||
\(91\) | 5.02037 | + | 4.20111i | 0.526277 | + | 0.440396i | ||||
\(92\) | −8.64337 | + | 5.23449i | −0.901133 | + | 0.545733i | ||||
\(93\) | −7.14554 | − | 3.44111i | −0.740958 | − | 0.356826i | ||||
\(94\) | 7.16073 | + | 4.03491i | 0.738573 | + | 0.416169i | ||||
\(95\) | −9.22532 | + | 19.1566i | −0.946498 | + | 1.96542i | ||||
\(96\) | −1.94787 | − | 5.31091i | −0.198804 | − | 0.542043i | ||||
\(97\) | 10.0633i | 1.02178i | 0.859648 | + | 0.510888i | \(0.170683\pi\) | ||||
−0.859648 | + | 0.510888i | \(0.829317\pi\) | |||||||
\(98\) | −1.11514 | − | 9.83649i | −0.112646 | − | 0.993635i | ||||
\(99\) | 5.44390i | 0.547133i | ||||||||
\(100\) | 14.6052 | + | 9.51605i | 1.46052 | + | 0.951605i | ||||
\(101\) | −1.34776 | + | 2.79865i | −0.134107 | + | 0.278476i | −0.957198 | − | 0.289433i | \(-0.906533\pi\) |
0.823091 | + | 0.567909i | \(0.192248\pi\) | |||||||
\(102\) | −1.48237 | + | 2.63074i | −0.146776 | + | 0.260482i | ||||
\(103\) | −8.41789 | − | 4.05384i | −0.829439 | − | 0.399437i | −0.0295344 | − | 0.999564i | \(-0.509402\pi\) |
−0.799905 | + | 0.600127i | \(0.795117\pi\) | |||||||
\(104\) | −1.34228 | + | 6.86830i | −0.131621 | + | 0.673493i | ||||
\(105\) | 7.80278 | − | 5.92688i | 0.761473 | − | 0.578404i | ||||
\(106\) | 0.0185454 | − | 0.00750349i | 0.00180129 | − | 0.000728803i | ||||
\(107\) | 9.10233 | − | 7.25887i | 0.879956 | − | 0.701741i | −0.0754144 | − | 0.997152i | \(-0.524028\pi\) |
0.955370 | + | 0.295411i | \(0.0954565\pi\) | |||||||
\(108\) | −1.03604 | − | 1.71074i | −0.0996927 | − | 0.164616i | ||||
\(109\) | −1.16986 | + | 1.46695i | −0.112052 | + | 0.140509i | −0.834695 | − | 0.550713i | \(-0.814356\pi\) |
0.722643 | + | 0.691222i | \(0.242927\pi\) | |||||||
\(110\) | −16.3075 | − | 23.3889i | −1.55485 | − | 2.23004i | ||||
\(111\) | 1.43974 | − | 1.80537i | 0.136654 | − | 0.171359i | ||||
\(112\) | 8.63367 | − | 6.12043i | 0.815805 | − | 0.578326i | ||||
\(113\) | 4.28533 | + | 5.37364i | 0.403130 | + | 0.505509i | 0.941413 | − | 0.337255i | \(-0.109498\pi\) |
−0.538283 | + | 0.842764i | \(0.680927\pi\) | |||||||
\(114\) | −2.31183 | + | 7.78307i | −0.216522 | + | 0.728951i | ||||
\(115\) | 4.16373 | − | 18.2425i | 0.388270 | − | 1.70112i | ||||
\(116\) | −1.31935 | − | 13.7394i | −0.122499 | − | 1.27567i | ||||
\(117\) | 2.47425i | 0.228745i | ||||||||
\(118\) | 5.29374 | + | 7.59252i | 0.487329 | + | 0.698948i | ||||
\(119\) | −5.47640 | − | 1.38664i | −0.502021 | − | 0.127113i | ||||
\(120\) | 9.57576 | + | 4.24642i | 0.874143 | + | 0.387643i | ||||
\(121\) | 4.14692 | + | 18.1689i | 0.376993 | + | 1.65171i | ||||
\(122\) | −0.0296823 | + | 0.460750i | −0.00268731 | + | 0.0417143i | ||||
\(123\) | 7.90988 | − | 6.30792i | 0.713210 | − | 0.568766i | ||||
\(124\) | 15.0560 | − | 4.99163i | 1.35207 | − | 0.448261i | ||||
\(125\) | −13.4168 | + | 3.06230i | −1.20004 | + | 0.273900i | ||||
\(126\) | 2.58075 | − | 2.70919i | 0.229911 | − | 0.241354i | ||||
\(127\) | 5.88984 | + | 1.34432i | 0.522639 | + | 0.119289i | 0.475698 | − | 0.879609i | \(-0.342196\pi\) |
0.0469410 | + | 0.998898i | \(0.485053\pi\) | |||||||
\(128\) | 10.1858 | + | 4.92444i | 0.900303 | + | 0.435263i | ||||
\(129\) | − | 9.28650i | − | 0.817631i | ||||||
\(130\) | −7.41172 | − | 10.6302i | −0.650051 | − | 0.932332i | ||||
\(131\) | 10.0863 | − | 4.85728i | 0.881240 | − | 0.424383i | 0.0621627 | − | 0.998066i | \(-0.480200\pi\) |
0.819077 | + | 0.573683i | \(0.194486\pi\) | |||||||
\(132\) | −7.57104 | − | 7.82456i | −0.658974 | − | 0.681041i | ||||
\(133\) | −15.1853 | − | 0.358296i | −1.31673 | − | 0.0310682i | ||||
\(134\) | −7.16640 | + | 1.15700i | −0.619082 | + | 0.0999495i | ||||
\(135\) | 3.61064 | + | 0.824106i | 0.310755 | + | 0.0709278i | ||||
\(136\) | −1.52806 | − | 5.84277i | −0.131030 | − | 0.501013i | ||||
\(137\) | 8.56833 | − | 4.12629i | 0.732042 | − | 0.352533i | −0.0304449 | − | 0.999536i | \(-0.509692\pi\) |
0.762487 | + | 0.647004i | \(0.223978\pi\) | |||||||
\(138\) | 0.459354 | − | 7.13042i | 0.0391028 | − | 0.606981i | ||||
\(139\) | −1.14782 | − | 0.552762i | −0.0973570 | − | 0.0468847i | 0.384571 | − | 0.923095i | \(-0.374349\pi\) |
−0.481929 | + | 0.876211i | \(0.660064\pi\) | |||||||
\(140\) | −2.97226 | + | 19.3704i | −0.251202 | + | 1.63709i | ||||
\(141\) | −5.23635 | + | 2.52169i | −0.440980 | + | 0.212365i | ||||
\(142\) | 2.43438 | + | 6.01674i | 0.204288 | + | 0.504914i | ||||
\(143\) | 2.99726 | + | 13.1319i | 0.250644 | + | 1.09814i | ||||
\(144\) | 3.86829 | + | 1.01800i | 0.322358 | + | 0.0848336i | ||||
\(145\) | 19.9827 | + | 15.9357i | 1.65948 | + | 1.32339i | ||||
\(146\) | 9.55979 | + | 8.68576i | 0.791173 | + | 0.718839i | ||||
\(147\) | 6.15652 | + | 3.33126i | 0.507781 | + | 0.274757i | ||||
\(148\) | 0.441454 | + | 4.59717i | 0.0362873 | + | 0.377885i | ||||
\(149\) | −6.74873 | + | 8.46264i | −0.552878 | + | 0.693287i | −0.977223 | − | 0.212214i | \(-0.931933\pi\) |
0.424346 | + | 0.905500i | \(0.360504\pi\) | |||||||
\(150\) | −11.4263 | + | 4.62310i | −0.932955 | + | 0.377474i | ||||
\(151\) | 12.1249 | − | 2.76744i | 0.986714 | − | 0.225211i | 0.301431 | − | 0.953488i | \(-0.402536\pi\) |
0.685283 | + | 0.728277i | \(0.259679\pi\) | |||||||
\(152\) | −7.50139 | − | 14.4018i | −0.608443 | − | 1.16814i | ||||
\(153\) | −0.926431 | − | 1.92375i | −0.0748975 | − | 0.155526i | ||||
\(154\) | 10.4152 | − | 17.5051i | 0.839283 | − | 1.41060i | ||||
\(155\) | −12.7441 | + | 26.4635i | −1.02363 | + | 2.12560i | ||||
\(156\) | −3.44103 | − | 3.55626i | −0.275503 | − | 0.284729i | ||||
\(157\) | −9.57211 | − | 19.8767i | −0.763938 | − | 1.58633i | −0.809323 | − | 0.587363i | \(-0.800166\pi\) |
0.0453856 | − | 0.998970i | \(-0.485548\pi\) | |||||||
\(158\) | 5.46042 | − | 0.881572i | 0.434408 | − | 0.0701341i | ||||
\(159\) | −0.00314785 | + | 0.0137916i | −0.000249640 | + | 0.00109375i | ||||
\(160\) | −19.6690 | + | 7.21394i | −1.55497 | + | 0.570312i | ||||
\(161\) | 13.0988 | − | 2.66630i | 1.03233 | − | 0.210134i | ||||
\(162\) | 1.41129 | + | 0.0909177i | 0.110881 | + | 0.00714317i | ||||
\(163\) | −0.351907 | − | 0.730742i | −0.0275635 | − | 0.0572361i | 0.886733 | − | 0.462283i | \(-0.152970\pi\) |
−0.914296 | + | 0.405047i | \(0.867255\pi\) | |||||||
\(164\) | −2.59627 | + | 20.0670i | −0.202735 | + | 1.56697i | ||||
\(165\) | 20.1615 | 1.56957 | ||||||||
\(166\) | −4.67872 | + | 5.14953i | −0.363139 | + | 0.399681i | ||||
\(167\) | −2.03904 | + | 8.93363i | −0.157786 | + | 0.691305i | 0.832704 | + | 0.553719i | \(0.186792\pi\) |
−0.990490 | + | 0.137587i | \(0.956065\pi\) | |||||||
\(168\) | 0.0584462 | + | 7.48309i | 0.00450923 | + | 0.577333i | ||||
\(169\) | −1.53052 | − | 6.70564i | −0.117732 | − | 0.515818i | ||||
\(170\) | 9.74295 | + | 5.48994i | 0.747250 | + | 0.421059i | ||||
\(171\) | −3.57952 | − | 4.48858i | −0.273733 | − | 0.343250i | ||||
\(172\) | 12.9151 | + | 13.3476i | 0.984765 | + | 1.01774i | ||||
\(173\) | 11.4088 | − | 2.60400i | 0.867399 | − | 0.197978i | 0.234409 | − | 0.972138i | \(-0.424685\pi\) |
0.632990 | + | 0.774160i | \(0.281827\pi\) | |||||||
\(174\) | 8.50292 | + | 4.79121i | 0.644605 | + | 0.363220i | ||||
\(175\) | −13.9485 | − | 18.3633i | −1.05440 | − | 1.38813i | ||||
\(176\) | 21.7638 | + | 0.716987i | 1.64051 | + | 0.0540449i | ||||
\(177\) | −6.54485 | −0.491941 | ||||||||
\(178\) | 17.0445 | + | 15.4862i | 1.27754 | + | 1.16074i | ||||
\(179\) | 10.7851 | + | 2.46164i | 0.806120 | + | 0.183992i | 0.605674 | − | 0.795713i | \(-0.292904\pi\) |
0.200446 | + | 0.979705i | \(0.435761\pi\) | |||||||
\(180\) | −6.33572 | + | 3.83696i | −0.472237 | + | 0.285990i | ||||
\(181\) | −5.12226 | + | 4.08486i | −0.380734 | + | 0.303625i | −0.795092 | − | 0.606489i | \(-0.792578\pi\) |
0.414358 | + | 0.910114i | \(0.364006\pi\) | |||||||
\(182\) | 4.73372 | − | 7.95605i | 0.350886 | − | 0.589742i | ||||
\(183\) | −0.255248 | − | 0.203554i | −0.0188685 | − | 0.0150471i | ||||
\(184\) | 9.25630 | + | 10.8874i | 0.682383 | + | 0.802633i | ||||
\(185\) | −6.68620 | − | 5.33207i | −0.491579 | − | 0.392021i | ||||
\(186\) | −3.19363 | + | 10.7518i | −0.234168 | + | 0.788358i | ||||
\(187\) | −7.24736 | − | 9.08790i | −0.529979 | − | 0.664573i | ||||
\(188\) | 4.01923 | − | 10.9068i | 0.293133 | − | 0.795462i | ||||
\(189\) | 0.527727 | + | 2.59259i | 0.0383865 | + | 0.188583i | ||||
\(190\) | 28.8246 | + | 8.56185i | 2.09116 | + | 0.621142i | ||||
\(191\) | −2.57918 | + | 5.35572i | −0.186623 | + | 0.387526i | −0.973198 | − | 0.229968i | \(-0.926138\pi\) |
0.786575 | + | 0.617494i | \(0.211852\pi\) | |||||||
\(192\) | −6.97570 | + | 3.91659i | −0.503428 | + | 0.282655i | ||||
\(193\) | 1.97841 | + | 0.952753i | 0.142409 | + | 0.0685807i | 0.503731 | − | 0.863860i | \(-0.331960\pi\) |
−0.361322 | + | 0.932441i | \(0.617674\pi\) | |||||||
\(194\) | 14.0498 | − | 2.26830i | 1.00871 | − | 0.162855i | ||||
\(195\) | 9.16338 | 0.656204 | ||||||||
\(196\) | −13.4817 | + | 3.77406i | −0.962979 | + | 0.269575i | ||||
\(197\) | 21.3667 | 1.52231 | 0.761156 | − | 0.648569i | \(-0.224632\pi\) | ||||
0.761156 | + | 0.648569i | \(0.224632\pi\) | |||||||
\(198\) | 7.60043 | − | 1.22707i | 0.540139 | − | 0.0872042i | ||||
\(199\) | −1.92603 | − | 0.927527i | −0.136533 | − | 0.0657507i | 0.364370 | − | 0.931254i | \(-0.381284\pi\) |
−0.500903 | + | 0.865504i | \(0.666999\pi\) | |||||||
\(200\) | 9.99363 | − | 22.5358i | 0.706656 | − | 1.59352i | ||||
\(201\) | 2.22714 | − | 4.62470i | 0.157090 | − | 0.326201i | ||||
\(202\) | 4.21108 | + | 1.25083i | 0.296291 | + | 0.0880081i | ||||
\(203\) | −4.48180 | + | 17.7005i | −0.314560 | + | 1.24233i | ||||
\(204\) | 4.00700 | + | 1.47660i | 0.280546 | + | 0.103383i | ||||
\(205\) | −23.3614 | − | 29.2942i | −1.63163 | − | 2.04600i | ||||
\(206\) | −3.76229 | + | 12.6663i | −0.262131 | + | 0.882500i | ||||
\(207\) | 3.95014 | + | 3.15013i | 0.274554 | + | 0.218949i | ||||
\(208\) | 9.89164 | + | 0.325870i | 0.685862 | + | 0.0225950i | ||||
\(209\) | −24.4354 | − | 19.4866i | −1.69023 | − | 1.34792i | ||||
\(210\) | −10.0335 | − | 9.55780i | −0.692377 | − | 0.659551i | ||||
\(211\) | −20.2921 | + | 16.1824i | −1.39697 | + | 1.11404i | −0.418365 | + | 0.908279i | \(0.637397\pi\) |
−0.978602 | + | 0.205765i | \(0.934032\pi\) | |||||||
\(212\) | −0.0146561 | − | 0.0242006i | −0.00100658 | − | 0.00166210i | ||||
\(213\) | −4.47445 | − | 1.02126i | −0.306584 | − | 0.0699759i | ||||
\(214\) | −12.1861 | − | 11.0719i | −0.833022 | − | 0.756861i | ||||
\(215\) | −34.3926 | −2.34555 | ||||||||
\(216\) | −2.15490 | + | 1.83205i | −0.146622 | + | 0.124655i | ||||
\(217\) | −20.9775 | − | 0.494962i | −1.42404 | − | 0.0336002i | ||||
\(218\) | 2.31176 | + | 1.30262i | 0.156572 | + | 0.0882248i | ||||
\(219\) | −8.90425 | + | 2.03234i | −0.601693 | + | 0.137333i | ||||
\(220\) | −28.9783 | + | 28.0393i | −1.95371 | + | 1.89041i | ||||
\(221\) | −3.29392 | − | 4.13044i | −0.221573 | − | 0.277844i | ||||
\(222\) | −2.84507 | − | 1.60313i | −0.190948 | − | 0.107595i | ||||
\(223\) | 3.61196 | + | 15.8250i | 0.241875 | + | 1.05972i | 0.939308 | + | 0.343074i | \(0.111468\pi\) |
−0.697433 | + | 0.716650i | \(0.745675\pi\) | |||||||
\(224\) | −10.4910 | − | 10.6742i | −0.700960 | − | 0.713201i | ||||
\(225\) | 1.93947 | − | 8.49738i | 0.129298 | − | 0.566492i | ||||
\(226\) | 6.53640 | − | 7.19414i | 0.434795 | − | 0.478547i | ||||
\(227\) | 25.9443 | 1.72198 | 0.860991 | − | 0.508620i | \(-0.169844\pi\) | ||||
0.860991 | + | 0.508620i | \(0.169844\pi\) | |||||||
\(228\) | 11.3873 | + | 1.47330i | 0.754143 | + | 0.0975714i | ||||
\(229\) | 0.692696 | + | 1.43840i | 0.0457746 | + | 0.0950520i | 0.922602 | − | 0.385754i | \(-0.126059\pi\) |
−0.876827 | + | 0.480806i | \(0.840344\pi\) | |||||||
\(230\) | −26.4075 | − | 1.70122i | −1.74126 | − | 0.112175i | ||||
\(231\) | 5.94148 | + | 13.1207i | 0.390921 | + | 0.863275i | ||||
\(232\) | −18.8846 | + | 4.93888i | −1.23984 | + | 0.324254i | ||||
\(233\) | 0.00248081 | − | 0.0108691i | 0.000162523 | − | 0.000712060i | −0.974847 | − | 0.222877i | \(-0.928455\pi\) |
0.975009 | + | 0.222165i | \(0.0713123\pi\) | |||||||
\(234\) | 3.45439 | − | 0.557703i | 0.225820 | − | 0.0364582i | ||||
\(235\) | 9.33908 | + | 19.3928i | 0.609214 | + | 1.26505i | ||||
\(236\) | 9.40696 | − | 9.10216i | 0.612341 | − | 0.592500i | ||||
\(237\) | −1.69696 | + | 3.52378i | −0.110229 | + | 0.228894i | ||||
\(238\) | −0.701534 | + | 7.95835i | −0.0454737 | + | 0.515863i | ||||
\(239\) | −4.86370 | − | 10.0996i | −0.314607 | − | 0.653287i | 0.682369 | − | 0.731008i | \(-0.260950\pi\) |
−0.996975 | + | 0.0777211i | \(0.975236\pi\) | |||||||
\(240\) | 3.77017 | − | 14.3262i | 0.243364 | − | 0.924753i | ||||
\(241\) | −2.43216 | + | 0.555124i | −0.156669 | + | 0.0357587i | −0.300136 | − | 0.953896i | \(-0.597032\pi\) |
0.143467 | + | 0.989655i | \(0.454175\pi\) | |||||||
\(242\) | 24.4314 | − | 9.88498i | 1.57051 | − | 0.635430i | ||||
\(243\) | −0.623490 | + | 0.781831i | −0.0399969 | + | 0.0501545i | ||||
\(244\) | 0.649960 | − | 0.0624138i | 0.0416094 | − | 0.00399564i | ||||
\(245\) | 12.3373 | − | 22.8007i | 0.788201 | − | 1.45668i | ||||
\(246\) | −10.5896 | − | 9.62144i | −0.675169 | − | 0.613440i | ||||
\(247\) | −11.1059 | − | 8.85664i | −0.706650 | − | 0.563534i | ||||
\(248\) | −10.3627 | − | 19.8951i | −0.658029 | − | 1.26334i | ||||
\(249\) | −1.09475 | − | 4.79641i | −0.0693769 | − | 0.303960i | ||||
\(250\) | 7.29957 | + | 18.0414i | 0.461665 | + | 1.14104i | ||||
\(251\) | −0.147759 | + | 0.0711571i | −0.00932648 | + | 0.00449140i | −0.438541 | − | 0.898711i | \(-0.644505\pi\) |
0.429215 | + | 0.903202i | \(0.358790\pi\) | |||||||
\(252\) | −4.36411 | − | 2.99241i | −0.274913 | − | 0.188504i | ||||
\(253\) | 24.7810 | + | 11.9339i | 1.55797 | + | 0.750279i | ||||
\(254\) | 0.549262 | − | 8.52603i | 0.0344638 | − | 0.534970i | ||||
\(255\) | −7.12462 | + | 3.43104i | −0.446161 | + | 0.214860i | ||||
\(256\) | 4.57928 | − | 15.3307i | 0.286205 | − | 0.958168i | ||||
\(257\) | −29.0426 | − | 6.62877i | −1.81163 | − | 0.413492i | −0.823522 | − | 0.567284i | \(-0.807994\pi\) |
−0.988103 | + | 0.153793i | \(0.950851\pi\) | |||||||
\(258\) | −12.9652 | + | 2.09320i | −0.807179 | + | 0.130317i | ||||
\(259\) | 1.49960 | − | 5.92256i | 0.0931809 | − | 0.368010i | ||||
\(260\) | −13.1706 | + | 12.7439i | −0.816806 | + | 0.790340i | ||||
\(261\) | −6.21784 | + | 2.99435i | −0.384874 | + | 0.185346i | ||||
\(262\) | −9.05489 | − | 12.9869i | −0.559413 | − | 0.802335i | ||||
\(263\) | − | 5.94951i | − | 0.366863i | −0.983033 | − | 0.183431i | \(-0.941279\pi\) | ||
0.983033 | − | 0.183431i | \(-0.0587205\pi\) | |||||||
\(264\) | −9.21762 | + | 12.3339i | −0.567305 | + | 0.759097i | ||||
\(265\) | 0.0510772 | + | 0.0116580i | 0.00313765 | + | 0.000716148i | ||||
\(266\) | 2.92259 | + | 21.2815i | 0.179195 | + | 1.30485i | ||||
\(267\) | −15.8757 | + | 3.62353i | −0.971579 | + | 0.221756i | ||||
\(268\) | 3.23065 | + | 9.74447i | 0.197344 | + | 0.595238i | ||||
\(269\) | 24.2778 | − | 19.3609i | 1.48024 | − | 1.18046i | 0.539197 | − | 0.842180i | \(-0.318728\pi\) |
0.941047 | − | 0.338276i | \(-0.109844\pi\) | |||||||
\(270\) | 0.336714 | − | 5.22670i | 0.0204917 | − | 0.318087i | ||||
\(271\) | −5.76556 | − | 25.2606i | −0.350233 | − | 1.53447i | −0.776644 | − | 0.629940i | \(-0.783080\pi\) |
0.426411 | − | 0.904529i | \(-0.359778\pi\) | |||||||
\(272\) | −7.81286 | + | 3.45035i | −0.473724 | + | 0.209208i | ||||
\(273\) | 2.70040 | + | 5.96333i | 0.163436 | + | 0.360917i | ||||
\(274\) | −7.69219 | − | 11.0325i | −0.464702 | − | 0.666496i | ||||
\(275\) | − | 47.4485i | − | 2.86125i | ||||||
\(276\) | −10.0586 | + | 0.965896i | −0.605454 | + | 0.0581401i | ||||
\(277\) | −5.96100 | + | 26.1169i | −0.358162 | + | 1.56921i | 0.399607 | + | 0.916687i | \(0.369147\pi\) |
−0.757769 | + | 0.652523i | \(0.773710\pi\) | |||||||
\(278\) | −0.513008 | + | 1.72711i | −0.0307682 | + | 0.103585i | ||||
\(279\) | −4.94487 | − | 6.20067i | −0.296041 | − | 0.371224i | ||||
\(280\) | 27.7136 | − | 0.216456i | 1.65620 | − | 0.0129357i | ||||
\(281\) | 12.4022 | − | 15.5518i | 0.739852 | − | 0.927745i | −0.259425 | − | 0.965763i | \(-0.583533\pi\) |
0.999277 | + | 0.0380181i | \(0.0121044\pi\) | |||||||
\(282\) | 4.70091 | + | 6.74225i | 0.279935 | + | 0.401495i | ||||
\(283\) | −6.40666 | + | 8.03369i | −0.380836 | + | 0.477554i | −0.934895 | − | 0.354924i | \(-0.884507\pi\) |
0.554059 | + | 0.832477i | \(0.313078\pi\) | |||||||
\(284\) | 7.85147 | − | 4.75491i | 0.465899 | − | 0.282152i | ||||
\(285\) | −16.6235 | + | 13.2568i | −0.984688 | + | 0.785263i | ||||
\(286\) | 17.6583 | − | 7.14455i | 1.04416 | − | 0.422466i | ||||
\(287\) | 12.1796 | − | 23.8359i | 0.718937 | − | 1.40699i | ||||
\(288\) | 0.549347 | − | 5.63012i | 0.0323706 | − | 0.331758i | ||||
\(289\) | −11.2089 | − | 5.39790i | −0.659345 | − | 0.317524i | ||||
\(290\) | 17.7442 | − | 31.4905i | 1.04198 | − | 1.84919i | ||||
\(291\) | −4.36631 | + | 9.06674i | −0.255958 | + | 0.531502i | ||||
\(292\) | 9.97169 | − | 15.3045i | 0.583549 | − | 0.895631i | ||||
\(293\) | − | 4.27345i | − | 0.249658i | −0.992178 | − | 0.124829i | \(-0.960162\pi\) | ||
0.992178 | − | 0.124829i | \(-0.0398382\pi\) | |||||||
\(294\) | 3.26319 | − | 9.34621i | 0.190313 | − | 0.545082i | ||||
\(295\) | 24.2388i | 1.41124i | ||||||||
\(296\) | 6.31877 | − | 1.65255i | 0.367271 | − | 0.0960523i | ||||
\(297\) | −2.36202 | + | 4.90479i | −0.137058 | + | 0.284605i | ||||
\(298\) | 13.3362 | + | 7.51464i | 0.772544 | + | 0.435311i | ||||
\(299\) | 11.2630 | + | 5.42396i | 0.651354 | + | 0.313676i | ||||
\(300\) | 9.03000 | + | 14.9106i | 0.521347 | + | 0.860866i | ||||
\(301\) | −10.1353 | − | 22.3819i | −0.584189 | − | 1.29007i | ||||
\(302\) | −6.59672 | − | 16.3043i | −0.379598 | − | 0.938205i | ||||
\(303\) | −2.42858 | + | 1.93673i | −0.139518 | + | 0.111262i | ||||
\(304\) | −18.4160 | + | 13.7192i | −1.05623 | + | 0.786848i | ||||
\(305\) | −0.753861 | + | 0.945312i | −0.0431660 | + | 0.0541284i | ||||
\(306\) | −2.47700 | + | 1.72704i | −0.141601 | + | 0.0987285i | ||||
\(307\) | 14.7618 | − | 18.5107i | 0.842501 | − | 1.05646i | −0.155145 | − | 0.987892i | \(-0.549585\pi\) |
0.997646 | − | 0.0685710i | \(-0.0218440\pi\) | |||||||
\(308\) | −26.7871 | − | 10.5954i | −1.52634 | − | 0.603727i | ||||
\(309\) | −5.82536 | − | 7.30477i | −0.331393 | − | 0.415554i | ||||
\(310\) | 39.8192 | + | 11.8276i | 2.26158 | + | 0.671763i | ||||
\(311\) | −1.61731 | + | 7.08590i | −0.0917093 | + | 0.401805i | −0.999858 | − | 0.0168428i | \(-0.994639\pi\) |
0.908149 | + | 0.418647i | \(0.137496\pi\) | |||||||
\(312\) | −4.18940 | + | 5.60573i | −0.237178 | + | 0.317362i | ||||
\(313\) | − | 5.48870i | − | 0.310240i | −0.987896 | − | 0.155120i | \(-0.950424\pi\) | ||
0.987896 | − | 0.155120i | \(-0.0495764\pi\) | |||||||
\(314\) | −25.5930 | + | 17.8442i | −1.44429 | + | 1.00701i | ||||
\(315\) | 9.60164 | − | 1.95444i | 0.540991 | − | 0.110120i | ||||
\(316\) | −2.46159 | − | 7.42477i | −0.138475 | − | 0.417676i | ||||
\(317\) | 7.61891 | + | 33.3806i | 0.427921 | + | 1.87484i | 0.481776 | + | 0.876295i | \(0.339992\pi\) |
−0.0538550 | + | 0.998549i | \(0.517151\pi\) | |||||||
\(318\) | 0.0199645 | + | 0.00128615i | 0.00111955 | + | 7.21236e-5i | ||||
\(319\) | −29.3733 | + | 23.4244i | −1.64459 | + | 1.31152i | ||||
\(320\) | 14.5051 | + | 25.8345i | 0.810859 | + | 1.44419i | ||||
\(321\) | 11.3504 | − | 2.59066i | 0.633519 | − | 0.144597i | ||||
\(322\) | −6.67503 | − | 17.6867i | −0.371985 | − | 0.985644i | ||||
\(323\) | 11.9511 | + | 2.72776i | 0.664978 | + | 0.151777i | ||||
\(324\) | −0.191175 | − | 1.99084i | −0.0106208 | − | 0.110602i | ||||
\(325\) | − | 21.5653i | − | 1.19623i | ||||||
\(326\) | −0.940893 | + | 0.656021i | −0.0521113 | + | 0.0363336i | ||||
\(327\) | −1.69049 | + | 0.814098i | −0.0934845 | + | 0.0450197i | ||||
\(328\) | 28.6014 | − | 0.898403i | 1.57925 | − | 0.0496060i | ||||
\(329\) | −9.86823 | + | 11.7926i | −0.544053 | + | 0.650148i | ||||
\(330\) | −4.54446 | − | 28.1482i | −0.250164 | − | 1.54951i | ||||
\(331\) | 17.2965 | + | 3.94780i | 0.950699 | + | 0.216991i | 0.669629 | − | 0.742696i | \(-0.266453\pi\) |
0.281071 | + | 0.959687i | \(0.409310\pi\) | |||||||
\(332\) | 8.24403 | + | 5.37141i | 0.452450 | + | 0.294794i | ||||
\(333\) | 2.08048 | − | 1.00191i | 0.114010 | − | 0.0549042i | ||||
\(334\) | 12.9322 | + | 0.833113i | 0.707617 | + | 0.0455859i | ||||
\(335\) | −17.1276 | − | 8.24820i | −0.935778 | − | 0.450647i | ||||
\(336\) | 10.4342 | − | 1.76831i | 0.569234 | − | 0.0964691i | ||||
\(337\) | −22.7866 | + | 10.9735i | −1.24127 | + | 0.597763i | −0.935157 | − | 0.354234i | \(-0.884742\pi\) |
−0.306110 | + | 0.951996i | \(0.599028\pi\) | |||||||
\(338\) | −9.01699 | + | 3.64828i | −0.490460 | + | 0.198440i | ||||
\(339\) | 1.52942 | + | 6.70082i | 0.0830666 | + | 0.363938i | ||||
\(340\) | 5.46860 | − | 14.8399i | 0.296577 | − | 0.804808i | ||||
\(341\) | −33.7558 | − | 26.9194i | −1.82798 | − | 1.45777i | ||||
\(342\) | −5.45983 | + | 6.00924i | −0.295234 | + | 0.324942i | ||||
\(343\) | 18.4739 | + | 1.30961i | 0.997497 | + | 0.0707125i | ||||
\(344\) | 15.7239 | − | 21.0398i | 0.847776 | − | 1.13439i | ||||
\(345\) | 11.6665 | − | 14.6293i | 0.628103 | − | 0.787617i | ||||
\(346\) | −6.20712 | − | 15.3413i | −0.333697 | − | 0.824756i | ||||
\(347\) | 17.7320 | − | 4.04722i | 0.951904 | − | 0.217266i | 0.281750 | − | 0.959488i | \(-0.409085\pi\) |
0.670154 | + | 0.742222i | \(0.266228\pi\) | |||||||
\(348\) | 4.77259 | − | 12.9512i | 0.255838 | − | 0.694256i | ||||
\(349\) | −3.86074 | − | 8.01692i | −0.206661 | − | 0.429136i | 0.771716 | − | 0.635968i | \(-0.219399\pi\) |
−0.978376 | + | 0.206832i | \(0.933685\pi\) | |||||||
\(350\) | −22.4936 | + | 23.6131i | −1.20233 | + | 1.26217i | ||||
\(351\) | −1.07354 | + | 2.22922i | −0.0573012 | + | 0.118987i | ||||
\(352\) | −3.90462 | − | 30.5468i | −0.208117 | − | 1.62815i | ||||
\(353\) | 5.01697 | + | 10.4179i | 0.267027 | + | 0.554487i | 0.990765 | − | 0.135588i | \(-0.0432922\pi\) |
−0.723739 | + | 0.690074i | \(0.757578\pi\) | |||||||
\(354\) | 1.47523 | + | 9.13749i | 0.0784075 | + | 0.485652i | ||||
\(355\) | −3.78225 | + | 16.5711i | −0.200741 | + | 0.879504i | ||||
\(356\) | 17.7789 | − | 27.2871i | 0.942281 | − | 1.44621i | ||||
\(357\) | −4.33243 | − | 3.62544i | −0.229297 | − | 0.191879i | ||||
\(358\) | 1.00578 | − | 15.6124i | 0.0531570 | − | 0.825140i | ||||
\(359\) | −4.07766 | − | 8.46735i | −0.215211 | − | 0.446889i | 0.765216 | − | 0.643773i | \(-0.222632\pi\) |
−0.980427 | + | 0.196884i | \(0.936918\pi\) | |||||||
\(360\) | 6.78501 | + | 7.98066i | 0.357601 | + | 0.420618i | ||||
\(361\) | 13.9604 | 0.734755 | ||||||||
\(362\) | 6.85759 | + | 6.23062i | 0.360427 | + | 0.327474i | ||||
\(363\) | −4.14692 | + | 18.1689i | −0.217657 | + | 0.953617i | ||||
\(364\) | −12.1747 | − | 4.81559i | −0.638129 | − | 0.252405i | ||||
\(365\) | 7.52675 | + | 32.9769i | 0.393968 | + | 1.72609i | ||||
\(366\) | −0.226655 | + | 0.402243i | −0.0118474 | + | 0.0210256i | ||||
\(367\) | 4.25673 | + | 5.33777i | 0.222199 | + | 0.278629i | 0.880419 | − | 0.474197i | \(-0.157261\pi\) |
−0.658219 | + | 0.752826i | \(0.728690\pi\) | |||||||
\(368\) | 13.1139 | − | 15.3771i | 0.683611 | − | 0.801587i | ||||
\(369\) | 9.86346 | − | 2.25127i | 0.513471 | − | 0.117196i | ||||
\(370\) | −5.93720 | + | 10.5367i | −0.308660 | + | 0.547777i | ||||
\(371\) | 0.00746538 | + | 0.0366755i | 0.000387583 | + | 0.00190410i | ||||
\(372\) | 15.7308 | + | 2.03526i | 0.815603 | + | 0.105523i | ||||
\(373\) | −27.9872 | −1.44912 | −0.724562 | − | 0.689210i | \(-0.757958\pi\) | ||||
−0.724562 | + | 0.689210i | \(0.757958\pi\) | |||||||
\(374\) | −11.0544 | + | 12.1667i | −0.571607 | + | 0.629127i | ||||
\(375\) | −13.4168 | − | 3.06230i | −0.692841 | − | 0.158136i | ||||
\(376\) | −16.1333 | − | 3.15296i | −0.832014 | − | 0.162601i | ||||
\(377\) | −13.3502 | + | 10.6464i | −0.687568 | + | 0.548317i | ||||
\(378\) | 3.50065 | − | 1.32115i | 0.180054 | − | 0.0679529i | ||||
\(379\) | −4.95993 | − | 3.95541i | −0.254775 | − | 0.203176i | 0.487771 | − | 0.872972i | \(-0.337810\pi\) |
−0.742545 | + | 0.669796i | \(0.766382\pi\) | |||||||
\(380\) | 5.45635 | − | 42.1729i | 0.279905 | − | 2.16342i | ||||
\(381\) | 4.72328 | + | 3.76669i | 0.241981 | + | 0.192974i | ||||
\(382\) | 8.05866 | + | 2.39369i | 0.412317 | + | 0.122472i | ||||
\(383\) | 6.55790 | + | 8.22334i | 0.335093 | + | 0.420193i | 0.920620 | − | 0.390460i | \(-0.127684\pi\) |
−0.585527 | + | 0.810653i | \(0.699112\pi\) | |||||||
\(384\) | 7.04043 | + | 8.85620i | 0.359280 | + | 0.451941i | ||||
\(385\) | 48.5923 | − | 22.0043i | 2.47649 | − | 1.12144i | ||||
\(386\) | 0.884232 | − | 2.97688i | 0.0450062 | − | 0.151519i | ||||
\(387\) | 4.02926 | − | 8.36685i | 0.204819 | − | 0.425311i | ||||
\(388\) | −6.33371 | − | 19.1041i | −0.321545 | − | 0.969862i | ||||
\(389\) | −5.82717 | − | 2.80622i | −0.295449 | − | 0.142281i | 0.280287 | − | 0.959916i | \(-0.409570\pi\) |
−0.575737 | + | 0.817635i | \(0.695285\pi\) | |||||||
\(390\) | −2.06545 | − | 12.7933i | −0.104588 | − | 0.647815i | ||||
\(391\) | −10.7880 | −0.545570 | ||||||||
\(392\) | 8.30791 | + | 17.9716i | 0.419613 | + | 0.907703i | ||||
\(393\) | 11.1949 | 0.564708 | ||||||||
\(394\) | −4.81611 | − | 29.8308i | −0.242632 | − | 1.50285i | ||||
\(395\) | 13.0503 | + | 6.28469i | 0.656632 | + | 0.316217i | ||||
\(396\) | −3.42632 | − | 10.3346i | −0.172179 | − | 0.519335i | ||||
\(397\) | −0.902240 | + | 1.87352i | −0.0452821 | + | 0.0940293i | −0.922382 | − | 0.386278i | \(-0.873761\pi\) |
0.877100 | + | 0.480307i | \(0.159475\pi\) | |||||||
\(398\) | −0.860821 | + | 2.89807i | −0.0431490 | + | 0.145267i | ||||
\(399\) | −13.5260 | − | 6.91148i | −0.677149 | − | 0.346007i | ||||
\(400\) | −33.7156 | − | 8.87282i | −1.68578 | − | 0.443641i | ||||
\(401\) | 0.699600 | + | 0.877271i | 0.0349364 | + | 0.0438088i | 0.798993 | − | 0.601341i | \(-0.205367\pi\) |
−0.764056 | + | 0.645149i | \(0.776795\pi\) | |||||||
\(402\) | −6.95870 | − | 2.06696i | −0.347069 | − | 0.103091i | ||||
\(403\) | −15.3420 | − | 12.2348i | −0.764240 | − | 0.609461i | ||||
\(404\) | 0.797137 | − | 6.16118i | 0.0396590 | − | 0.306530i | ||||
\(405\) | 2.89551 | + | 2.30909i | 0.143879 | + | 0.114740i | ||||
\(406\) | 25.7225 | + | 2.26745i | 1.27658 | + | 0.112532i | ||||
\(407\) | 9.82829 | − | 7.83780i | 0.487170 | − | 0.388505i | ||||
\(408\) | 1.15835 | − | 5.92715i | 0.0573469 | − | 0.293438i | ||||
\(409\) | 32.6109 | + | 7.44322i | 1.61250 | + | 0.368044i | 0.931358 | − | 0.364104i | \(-0.118625\pi\) |
0.681146 | + | 0.732148i | \(0.261482\pi\) | |||||||
\(410\) | −35.6330 | + | 39.2186i | −1.75979 | + | 1.93687i | ||||
\(411\) | 9.51013 | 0.469100 | ||||||||
\(412\) | 18.5318 | + | 2.39766i | 0.912998 | + | 0.118124i | ||||
\(413\) | −15.7741 | + | 7.14305i | −0.776193 | + | 0.351487i | ||||
\(414\) | 3.50764 | − | 6.22498i | 0.172391 | − | 0.305941i | ||||
\(415\) | −17.7635 | + | 4.05440i | −0.871976 | + | 0.199023i | ||||
\(416\) | −1.77465 | − | 13.8835i | −0.0870091 | − | 0.680695i | ||||
\(417\) | −0.794318 | − | 0.996043i | −0.0388979 | − | 0.0487764i | ||||
\(418\) | −21.6981 | + | 38.5075i | −1.06129 | + | 1.88346i | ||||
\(419\) | −0.0984373 | − | 0.431282i | −0.00480897 | − | 0.0210695i | 0.972467 | − | 0.233043i | \(-0.0748682\pi\) |
−0.977275 | + | 0.211973i | \(0.932011\pi\) | |||||||
\(420\) | −11.0824 | + | 16.1625i | −0.540766 | + | 0.788648i | ||||
\(421\) | 1.15276 | − | 5.05057i | 0.0561821 | − | 0.246150i | −0.939037 | − | 0.343816i | \(-0.888280\pi\) |
0.995219 | + | 0.0976658i | \(0.0311376\pi\) | |||||||
\(422\) | 27.1667 | + | 24.6830i | 1.32246 | + | 1.20155i | ||||
\(423\) | −5.81191 | −0.282585 | ||||||||
\(424\) | −0.0304838 | + | 0.0259168i | −0.00148042 | + | 0.00125863i | ||||
\(425\) | 8.07469 | + | 16.7673i | 0.391680 | + | 0.813332i | ||||
\(426\) | −0.417269 | + | 6.47713i | −0.0202167 | + | 0.313818i | ||||
\(427\) | −0.837346 | − | 0.212018i | −0.0405220 | − | 0.0102603i | ||||
\(428\) | −12.7111 | + | 19.5090i | −0.614415 | + | 0.943004i | ||||
\(429\) | −2.99726 | + | 13.1319i | −0.144709 | + | 0.634013i | ||||
\(430\) | 7.75218 | + | 48.0167i | 0.373843 | + | 2.31557i | ||||
\(431\) | −1.23454 | − | 2.56355i | −0.0594657 | − | 0.123482i | 0.869118 | − | 0.494605i | \(-0.164687\pi\) |
−0.928584 | + | 0.371123i | \(0.878973\pi\) | |||||||
\(432\) | 3.04351 | + | 2.59558i | 0.146431 | + | 0.124880i | ||||
\(433\) | 7.38365 | − | 15.3323i | 0.354836 | − | 0.736824i | −0.644785 | − | 0.764364i | \(-0.723053\pi\) |
0.999621 | + | 0.0275400i | \(0.00876738\pi\) | |||||||
\(434\) | 4.03735 | + | 29.3990i | 0.193799 | + | 1.41120i | ||||
\(435\) | 11.0896 | + | 23.0277i | 0.531705 | + | 1.10410i | ||||
\(436\) | 1.29756 | − | 3.52114i | 0.0621419 | − | 0.168632i | ||||
\(437\) | −28.2792 | + | 6.45455i | −1.35278 | + | 0.308763i | ||||
\(438\) | 4.84446 | + | 11.9734i | 0.231477 | + | 0.572113i | ||||
\(439\) | −16.7790 | + | 21.0402i | −0.800820 | + | 1.00420i | 0.198888 | + | 0.980022i | \(0.436267\pi\) |
−0.999708 | + | 0.0241739i | \(0.992304\pi\) | |||||||
\(440\) | 45.6785 | + | 34.1374i | 2.17764 | + | 1.62744i | ||||
\(441\) | 4.10145 | + | 5.67257i | 0.195307 | + | 0.270122i | ||||
\(442\) | −5.02420 | + | 5.52977i | −0.238977 | + | 0.263024i | ||||
\(443\) | −13.9766 | − | 11.1460i | −0.664047 | − | 0.529560i | 0.232450 | − | 0.972608i | \(-0.425326\pi\) |
−0.896498 | + | 0.443048i | \(0.853897\pi\) | |||||||
\(444\) | −1.59690 | + | 4.33345i | −0.0757857 | + | 0.205656i | ||||
\(445\) | 13.4197 | + | 58.7957i | 0.636157 | + | 2.78719i | ||||
\(446\) | 21.2798 | − | 8.60980i | 1.00763 | − | 0.407686i | ||||
\(447\) | −9.75220 | + | 4.69641i | −0.461263 | + | 0.222133i | ||||
\(448\) | −12.5379 | + | 17.0529i | −0.592362 | + | 0.805672i | ||||
\(449\) | −24.6011 | − | 11.8472i | −1.16100 | − | 0.559106i | −0.248677 | − | 0.968586i | \(-0.579996\pi\) |
−0.912319 | + | 0.409480i | \(0.865710\pi\) | |||||||
\(450\) | −12.3006 | − | 0.792430i | −0.579858 | − | 0.0373555i | ||||
\(451\) | 49.6223 | − | 23.8968i | 2.33662 | − | 1.12526i | ||||
\(452\) | −11.5173 | − | 7.50412i | −0.541729 | − | 0.352964i | ||||
\(453\) | 12.1249 | + | 2.76744i | 0.569679 | + | 0.130026i | ||||
\(454\) | −5.84792 | − | 36.2217i | −0.274456 | − | 1.69997i | ||||
\(455\) | 22.0852 | − | 10.0009i | 1.03537 | − | 0.468850i | ||||
\(456\) | −0.509812 | − | 16.2303i | −0.0238742 | − | 0.760054i | ||||
\(457\) | −10.9302 | + | 5.26372i | −0.511294 | + | 0.246226i | −0.671698 | − | 0.740825i | \(-0.734435\pi\) |
0.160404 | + | 0.987051i | \(0.448720\pi\) | |||||||
\(458\) | 1.85206 | − | 1.29132i | 0.0865412 | − | 0.0603393i | ||||
\(459\) | − | 2.13521i | − | 0.0996629i | ||||||
\(460\) | 3.57719 | + | 37.2519i | 0.166788 | + | 1.73688i | ||||
\(461\) | 9.63688 | + | 2.19955i | 0.448834 | + | 0.102443i | 0.440962 | − | 0.897526i | \(-0.354637\pi\) |
0.00787174 | + | 0.999969i | \(0.497494\pi\) | |||||||
\(462\) | 16.9790 | − | 11.2525i | 0.789933 | − | 0.523516i | ||||
\(463\) | −35.7111 | + | 8.15082i | −1.65964 | + | 0.378801i | −0.946621 | − | 0.322349i | \(-0.895528\pi\) |
−0.713014 | + | 0.701150i | \(0.752670\pi\) | |||||||
\(464\) | 11.1520 | + | 25.2522i | 0.517719 | + | 1.17231i | ||||
\(465\) | −22.9642 | + | 18.3133i | −1.06494 | + | 0.849259i | ||||
\(466\) | −0.0157339 | − | 0.00101361i | −0.000728861 | − | 4.69545e-5i | ||||
\(467\) | −0.300731 | − | 1.31759i | −0.0139162 | − | 0.0609708i | 0.967493 | − | 0.252898i | \(-0.0813836\pi\) |
−0.981409 | + | 0.191927i | \(0.938526\pi\) | |||||||
\(468\) | −1.55726 | − | 4.69709i | −0.0719843 | − | 0.217123i | ||||
\(469\) | 0.320346 | − | 13.5769i | 0.0147922 | − | 0.626924i | ||||
\(470\) | 24.9699 | − | 17.4098i | 1.15178 | − | 0.803055i | ||||
\(471\) | − | 22.0615i | − | 1.01654i | ||||||
\(472\) | −14.8282 | − | 11.0817i | −0.682523 | − | 0.510078i | ||||
\(473\) | 11.2495 | − | 49.2873i | 0.517253 | − | 2.26623i | ||||
\(474\) | 5.30217 | + | 1.57492i | 0.243537 | + | 0.0723383i | ||||
\(475\) | 31.1988 | + | 39.1220i | 1.43150 | + | 1.79504i | ||||
\(476\) | 11.2691 | − | 0.814399i | 0.516517 | − | 0.0373279i | ||||
\(477\) | −0.00882007 | + | 0.0110600i | −0.000403843 | + | 0.000506403i | ||||
\(478\) | −13.0041 | + | 9.06685i | −0.594793 | + | 0.414708i | ||||
\(479\) | −2.60542 | + | 3.26710i | −0.119045 | + | 0.149277i | −0.837783 | − | 0.546003i | \(-0.816149\pi\) |
0.718738 | + | 0.695281i | \(0.244720\pi\) | |||||||
\(480\) | −20.8511 | − | 2.03450i | −0.951720 | − | 0.0928620i | ||||
\(481\) | 4.46695 | − | 3.56227i | 0.203675 | − | 0.162426i | ||||
\(482\) | 1.32324 | + | 3.27049i | 0.0602721 | + | 0.148967i | ||||
\(483\) | 12.9585 | + | 3.28112i | 0.589632 | + | 0.149296i | ||||
\(484\) | −19.3077 | − | 31.8815i | −0.877622 | − | 1.44916i | ||||
\(485\) | 33.5786 | + | 16.1706i | 1.52473 | + | 0.734270i | ||||
\(486\) | 1.23208 | + | 0.694249i | 0.0558882 | + | 0.0314918i | ||||
\(487\) | −10.4547 | + | 21.7093i | −0.473746 | + | 0.983744i | 0.517983 | + | 0.855391i | \(0.326683\pi\) |
−0.991729 | + | 0.128353i | \(0.959031\pi\) | |||||||
\(488\) | −0.233641 | − | 0.893364i | −0.0105764 | − | 0.0404407i | ||||
\(489\) | − | 0.811062i | − | 0.0366775i | ||||||
\(490\) | −34.6137 | − | 12.0852i | −1.56369 | − | 0.545954i | ||||
\(491\) | − | 18.2679i | − | 0.824417i | −0.911090 | − | 0.412208i | \(-0.864758\pi\) | ||
0.911090 | − | 0.412208i | \(-0.135242\pi\) | |||||||
\(492\) | −11.0459 | + | 16.9532i | −0.497987 | + | 0.764311i | ||||
\(493\) | 6.39356 | − | 13.2764i | 0.287952 | − | 0.597937i | ||||
\(494\) | −9.86177 | + | 17.5016i | −0.443702 | + | 0.787435i | ||||
\(495\) | 18.1649 | + | 8.74774i | 0.816451 | + | 0.393182i | ||||
\(496\) | −25.4405 | + | 18.9521i | −1.14231 | + | 0.850974i | ||||
\(497\) | −11.8987 | + | 2.42201i | −0.533731 | + | 0.108642i | ||||
\(498\) | −6.44968 | + | 2.60954i | −0.289017 | + | 0.116936i | ||||
\(499\) | 11.6362 | − | 9.27954i | 0.520907 | − | 0.415409i | −0.327423 | − | 0.944878i | \(-0.606180\pi\) |
0.848330 | + | 0.529469i | \(0.177609\pi\) | |||||||
\(500\) | 23.5429 | − | 14.2578i | 1.05287 | − | 0.637627i | ||||
\(501\) | −5.71327 | + | 7.16422i | −0.255250 | + | 0.320074i | ||||
\(502\) | 0.132650 | + | 0.190253i | 0.00592047 | + | 0.00849140i | ||||
\(503\) | −1.70473 | + | 2.13767i | −0.0760103 | + | 0.0953139i | −0.818383 | − | 0.574673i | \(-0.805129\pi\) |
0.742372 | + | 0.669987i | \(0.233701\pi\) | |||||||
\(504\) | −3.19413 | + | 6.76739i | −0.142278 | + | 0.301443i | ||||
\(505\) | 7.17266 | + | 8.99423i | 0.319179 | + | 0.400238i | ||||
\(506\) | 11.0756 | − | 37.2876i | 0.492372 | − | 1.65764i | ||||
\(507\) | 1.53052 | − | 6.70564i | 0.0679727 | − | 0.297808i | ||||
\(508\) | −12.0273 | + | 1.15495i | −0.533625 | + | 0.0512425i | ||||
\(509\) | 1.14448i | 0.0507280i | 0.999678 | + | 0.0253640i | \(0.00807448\pi\) | ||||
−0.999678 | + | 0.0253640i | \(0.991926\pi\) | |||||||
\(510\) | 6.39610 | + | 9.17357i | 0.283224 | + | 0.406213i | ||||
\(511\) | −19.2425 | + | 14.6163i | −0.851239 | + | 0.646589i | ||||
\(512\) | −22.4359 | − | 2.93771i | −0.991536 | − | 0.129830i | ||||
\(513\) | −1.27752 | − | 5.59717i | −0.0564038 | − | 0.247121i | ||||
\(514\) | −2.70839 | + | 42.0415i | −0.119462 | + | 1.85437i | ||||
\(515\) | −27.0532 | + | 21.5742i | −1.19211 | + | 0.950673i | ||||
\(516\) | 5.84479 | + | 17.6294i | 0.257303 | + | 0.776090i | ||||
\(517\) | −30.8462 | + | 7.04044i | −1.35661 | + | 0.309638i | ||||
\(518\) | −8.60671 | − | 0.758688i | −0.378157 | − | 0.0333348i | ||||
\(519\) | 11.4088 | + | 2.60400i | 0.500793 | + | 0.114303i | ||||
\(520\) | 20.7608 | + | 15.5154i | 0.910423 | + | 0.680397i | ||||
\(521\) | − | 23.9627i | − | 1.04983i | −0.851156 | − | 0.524913i | \(-0.824098\pi\) | ||
0.851156 | − | 0.524913i | \(-0.175902\pi\) | |||||||
\(522\) | 5.58204 | + | 8.00600i | 0.244319 | + | 0.350413i | ||||
\(523\) | 2.93963 | − | 1.41565i | 0.128541 | − | 0.0619020i | −0.368508 | − | 0.929625i | \(-0.620131\pi\) |
0.497049 | + | 0.867723i | \(0.334417\pi\) | |||||||
\(524\) | −16.0905 | + | 15.5691i | −0.702917 | + | 0.680141i | ||||
\(525\) | −4.59962 | − | 22.5967i | −0.200744 | − | 0.986202i | ||||
\(526\) | −8.30633 | + | 1.34104i | −0.362173 | + | 0.0584720i | ||||
\(527\) | 16.5096 | + | 3.76822i | 0.719171 | + | 0.164146i | ||||
\(528\) | 19.2974 | + | 10.0889i | 0.839813 | + | 0.439065i | ||||
\(529\) | 2.27667 | − | 1.09639i | 0.0989857 | − | 0.0476690i | ||||
\(530\) | 0.00476325 | − | 0.0739385i | 0.000206902 | − | 0.00321168i | ||||
\(531\) | −5.89671 | − | 2.83970i | −0.255895 | − | 0.123233i | ||||
\(532\) | 29.0531 | − | 8.87724i | 1.25961 | − | 0.384877i | ||||
\(533\) | 22.5533 | − | 10.8611i | 0.976892 | − | 0.470446i | ||||
\(534\) | 8.63737 | + | 21.3479i | 0.373776 | + | 0.923814i | ||||
\(535\) | −9.59451 | − | 42.0363i | −0.414807 | − | 1.81739i | ||||
\(536\) | 12.8764 | − | 6.70686i | 0.556176 | − | 0.289692i | ||||
\(537\) | 8.64902 | + | 6.89736i | 0.373233 | + | 0.297643i | ||||
\(538\) | −32.5027 | − | 29.5311i | −1.40129 | − | 1.27318i | ||||
\(539\) | 28.6398 | + | 25.1383i | 1.23360 | + | 1.08278i | ||||
\(540\) | −7.37308 | + | 0.708017i | −0.317287 | + | 0.0304682i | ||||
\(541\) | 1.05585 | − | 1.32399i | 0.0453944 | − | 0.0569228i | −0.758616 | − | 0.651538i | \(-0.774124\pi\) |
0.804010 | + | 0.594615i | \(0.202696\pi\) | |||||||
\(542\) | −33.9676 | + | 13.7433i | −1.45903 | + | 0.590325i | ||||
\(543\) | −6.38735 | + | 1.45787i | −0.274107 | + | 0.0625632i | ||||
\(544\) | 6.57820 | + | 10.1301i | 0.282038 | + | 0.434324i | ||||
\(545\) | 3.01501 | + | 6.26074i | 0.129149 | + | 0.268181i | ||||
\(546\) | 7.71693 | − | 5.11427i | 0.330254 | − | 0.218871i | ||||
\(547\) | 17.4404 | − | 36.2155i | 0.745700 | − | 1.54846i | −0.0879229 | − | 0.996127i | \(-0.528023\pi\) |
0.833623 | − | 0.552334i | \(-0.186263\pi\) | |||||||
\(548\) | −13.6690 | + | 13.2261i | −0.583910 | + | 0.564990i | ||||
\(549\) | −0.141652 | − | 0.294144i | −0.00604557 | − | 0.0125537i | ||||
\(550\) | −66.2446 | + | 10.6950i | −2.82468 | + | 0.456038i | ||||
\(551\) | 8.81650 | − | 38.6276i | 0.375596 | − | 1.64559i | ||||
\(552\) | 3.61575 | + | 13.8254i | 0.153897 | + | 0.588448i | ||||
\(553\) | −0.244087 | + | 10.3449i | −0.0103796 | + | 0.439910i | ||||
\(554\) | 37.8063 | + | 2.43555i | 1.60624 | + | 0.103477i | ||||
\(555\) | −3.71056 | − | 7.70506i | −0.157505 | − | 0.327062i | ||||
\(556\) | 2.52691 | + | 0.326933i | 0.107165 | + | 0.0138651i | ||||
\(557\) | 8.46113 | 0.358510 | 0.179255 | − | 0.983803i | \(-0.442631\pi\) | ||||
0.179255 | + | 0.983803i | \(0.442631\pi\) | |||||||
\(558\) | −7.54238 | + | 8.30135i | −0.319294 | + | 0.351424i | ||||
\(559\) | 5.11289 | − | 22.4010i | 0.216252 | − | 0.947463i | ||||
\(560\) | −6.54893 | − | 38.6431i | −0.276743 | − | 1.63297i | ||||
\(561\) | −2.58655 | − | 11.3324i | −0.109204 | − | 0.478455i | ||||
\(562\) | −24.5080 | − | 13.8097i | −1.03381 | − | 0.582527i | ||||
\(563\) | −14.9290 | − | 18.7204i | −0.629183 | − | 0.788970i | 0.360421 | − | 0.932790i | \(-0.382633\pi\) |
−0.989604 | + | 0.143819i | \(0.954062\pi\) | |||||||
\(564\) | 8.35349 | − | 8.08283i | 0.351746 | − | 0.340348i | ||||
\(565\) | 24.8165 | − | 5.66420i | 1.04404 | − | 0.238295i | ||||
\(566\) | 12.6602 | + | 7.13374i | 0.532148 | + | 0.299854i | ||||
\(567\) | −0.649415 | + | 2.56481i | −0.0272729 | + | 0.107712i | ||||
\(568\) | −8.40824 | − | 9.88994i | −0.352802 | − | 0.414973i | ||||
\(569\) | 26.7959 | 1.12334 | 0.561672 | − | 0.827360i | \(-0.310158\pi\) | ||||
0.561672 | + | 0.827360i | \(0.310158\pi\) | |||||||
\(570\) | 22.2552 | + | 20.2205i | 0.932168 | + | 0.846943i | ||||
\(571\) | 29.0964 | + | 6.64107i | 1.21765 | + | 0.277920i | 0.782622 | − | 0.622497i | \(-0.213882\pi\) |
0.435026 | + | 0.900418i | \(0.356739\pi\) | |||||||
\(572\) | −13.9550 | − | 23.0429i | −0.583487 | − | 0.963474i | ||||
\(573\) | −4.64752 | + | 3.70627i | −0.194153 | + | 0.154832i | ||||
\(574\) | −36.0234 | − | 11.6316i | −1.50359 | − | 0.485495i | ||||
\(575\) | −34.4290 | − | 27.4562i | −1.43579 | − | 1.14500i | ||||
\(576\) | −7.98423 | + | 0.502083i | −0.332676 | + | 0.0209201i | ||||
\(577\) | 0.765397 | + | 0.610384i | 0.0318639 | + | 0.0254106i | 0.639292 | − | 0.768964i | \(-0.279227\pi\) |
−0.607428 | + | 0.794374i | \(0.707799\pi\) | |||||||
\(578\) | −5.00969 | + | 16.8658i | −0.208376 | + | 0.701524i | ||||
\(579\) | 1.36910 | + | 1.71680i | 0.0568980 | + | 0.0713479i | ||||
\(580\) | −47.9647 | − | 17.6753i | −1.99162 | − | 0.733926i | ||||
\(581\) | −7.87332 | − | 10.3653i | −0.326640 | − | 0.430024i | ||||
\(582\) | 13.6426 | + | 4.05229i | 0.565503 | + | 0.167973i | ||||
\(583\) | −0.0334138 | + | 0.0693846i | −0.00138386 | + | 0.00287361i | ||||
\(584\) | −23.6149 | − | 10.4721i | −0.977190 | − | 0.433340i | ||||
\(585\) | 8.25592 | + | 3.97584i | 0.341340 | + | 0.164381i | ||||
\(586\) | −5.96632 | + | 0.963249i | −0.246466 | + | 0.0397914i | ||||
\(587\) | −3.11793 | −0.128691 | −0.0643455 | − | 0.997928i | \(-0.520496\pi\) | ||||
−0.0643455 | + | 0.997928i | \(0.520496\pi\) | |||||||
\(588\) | −13.7841 | − | 2.44919i | −0.568447 | − | 0.101003i | ||||
\(589\) | 45.5325 | 1.87613 | ||||||||
\(590\) | 33.8407 | − | 5.46351i | 1.39320 | − | 0.224929i | ||||
\(591\) | 19.2507 | + | 9.27065i | 0.791868 | + | 0.381344i | ||||
\(592\) | −3.73145 | − | 8.44937i | −0.153362 | − | 0.347267i | ||||
\(593\) | −12.4794 | + | 25.9137i | −0.512467 | + | 1.06415i | 0.470844 | + | 0.882216i | \(0.343949\pi\) |
−0.983311 | + | 0.181932i | \(0.941765\pi\) | |||||||
\(594\) | 7.38015 | + | 2.19215i | 0.302811 | + | 0.0899449i | ||||
\(595\) | −13.4268 | + | 16.0451i | −0.550445 | + | 0.657787i | ||||
\(596\) | 7.48544 | − | 20.3129i | 0.306615 | − | 0.832050i | ||||
\(597\) | −1.33285 | − | 1.67135i | −0.0545501 | − | 0.0684037i | ||||
\(598\) | 5.03387 | − | 16.9472i | 0.205850 | − | 0.693022i | ||||
\(599\) | 27.8365 | + | 22.1989i | 1.13737 | + | 0.907022i | 0.996548 | − | 0.0830136i | \(-0.0264545\pi\) |
0.140821 | + | 0.990035i | \(0.455026\pi\) | |||||||
\(600\) | 18.7819 | − | 15.9680i | 0.766767 | − | 0.651891i | ||||
\(601\) | 15.8761 | + | 12.6608i | 0.647600 | + | 0.516443i | 0.891304 | − | 0.453406i | \(-0.149791\pi\) |
−0.243704 | + | 0.969850i | \(0.578363\pi\) | |||||||
\(602\) | −28.9636 | + | 19.1952i | −1.18047 | + | 0.782338i | ||||
\(603\) | 4.01316 | − | 3.20039i | 0.163429 | − | 0.130330i | ||||
\(604\) | −21.2760 | + | 12.8849i | −0.865710 | + | 0.524281i | ||||
\(605\) | 67.2883 | + | 15.3581i | 2.73566 | + | 0.624396i | ||||
\(606\) | 3.25134 | + | 2.95408i | 0.132077 | + | 0.120001i | ||||
\(607\) | −2.11282 | −0.0857568 | −0.0428784 | − | 0.999080i | \(-0.513653\pi\) | ||||
−0.0428784 | + | 0.999080i | \(0.513653\pi\) | |||||||
\(608\) | 23.3048 | + | 22.6189i | 0.945136 | + | 0.917319i | ||||
\(609\) | −11.7179 | + | 14.0030i | −0.474834 | + | 0.567430i | ||||
\(610\) | 1.48971 | + | 0.839416i | 0.0603164 | + | 0.0339870i | ||||
\(611\) | −14.0196 | + | 3.19988i | −0.567171 | + | 0.129453i | ||||
\(612\) | 2.96951 | + | 3.06895i | 0.120035 | + | 0.124055i | ||||
\(613\) | 0.454814 | + | 0.570319i | 0.0183698 | + | 0.0230350i | 0.790932 | − | 0.611905i | \(-0.209596\pi\) |
−0.772562 | + | 0.634940i | \(0.781025\pi\) | |||||||
\(614\) | −29.1708 | − | 16.4371i | −1.17724 | − | 0.663348i | ||||
\(615\) | −8.33757 | − | 36.5293i | −0.336203 | − | 1.47300i | ||||
\(616\) | −8.75468 | + | 39.7866i | −0.352736 | + | 1.60305i | ||||
\(617\) | −8.88213 | + | 38.9152i | −0.357581 | + | 1.56667i | 0.401618 | + | 0.915807i | \(0.368448\pi\) |
−0.759199 | + | 0.650858i | \(0.774409\pi\) | |||||||
\(618\) | −8.88539 | + | 9.77951i | −0.357423 | + | 0.393389i | ||||
\(619\) | 2.72285 | 0.109440 | 0.0547202 | − | 0.998502i | \(-0.482573\pi\) | ||||
0.0547202 | + | 0.998502i | \(0.482573\pi\) | |||||||
\(620\) | 7.53757 | − | 58.2589i | 0.302716 | − | 2.33974i | ||||
\(621\) | 2.19216 | + | 4.55207i | 0.0879684 | + | 0.182668i | ||||
\(622\) | 10.2574 | + | 0.660801i | 0.411285 | + | 0.0264957i | ||||
\(623\) | −34.3082 | + | 26.0600i | −1.37453 | + | 1.04407i | ||||
\(624\) | 8.77067 | + | 4.58542i | 0.351108 | + | 0.183564i | ||||
\(625\) | −1.64386 | + | 7.20222i | −0.0657544 | + | 0.288089i | ||||
\(626\) | −7.66297 | + | 1.23717i | −0.306274 | + | 0.0494472i | ||||
\(627\) | −13.5606 | − | 28.1589i | −0.541559 | − | 1.12456i | ||||
\(628\) | 30.6817 | + | 31.7091i | 1.22433 | + | 1.26533i | ||||
\(629\) | −2.13928 | + | 4.44226i | −0.0852987 | + | 0.177124i | ||||
\(630\) | −4.89290 | − | 12.9647i | −0.194938 | − | 0.516524i | ||||
\(631\) | 4.16458 | + | 8.64783i | 0.165789 | + | 0.344265i | 0.967267 | − | 0.253759i | \(-0.0816671\pi\) |
−0.801478 | + | 0.598024i | \(0.795953\pi\) | |||||||
\(632\) | −9.81114 | + | 5.11028i | −0.390266 | + | 0.203276i | ||||
\(633\) | −25.3038 | + | 5.77544i | −1.00574 | + | 0.229553i | ||||
\(634\) | 44.8866 | − | 18.1611i | 1.78267 | − | 0.721270i | ||||
\(635\) | 13.9499 | − | 17.4927i | 0.553587 | − | 0.694176i | ||||
\(636\) | −0.00270442 | − | 0.0281630i | −0.000107237 | − | 0.00111674i | ||||
\(637\) | 13.0168 | + | 11.4253i | 0.515743 | + | 0.452688i | ||||
\(638\) | 39.3245 | + | 35.7292i | 1.55687 | + | 1.41453i | ||||
\(639\) | −3.58823 | − | 2.86152i | −0.141948 | − | 0.113200i | ||||
\(640\) | 32.7989 | − | 26.0742i | 1.29649 | − | 1.03067i | ||||
\(641\) | 9.04196 | + | 39.6154i | 0.357136 | + | 1.56471i | 0.760291 | + | 0.649583i | \(0.225056\pi\) |
−0.403155 | + | 0.915132i | \(0.632086\pi\) | |||||||
\(642\) | −6.17533 | − | 15.2628i | −0.243721 | − | 0.602374i | ||||
\(643\) | 12.6313 | − | 6.08291i | 0.498129 | − | 0.239886i | −0.167911 | − | 0.985802i | \(-0.553702\pi\) |
0.666040 | + | 0.745916i | \(0.267988\pi\) | |||||||
\(644\) | −23.1885 | + | 13.3059i | −0.913755 | + | 0.524325i | ||||
\(645\) | −30.9866 | − | 14.9224i | −1.22010 | − | 0.587568i | ||||
\(646\) | 1.11451 | − | 17.3002i | 0.0438498 | − | 0.680668i | ||||
\(647\) | 23.2451 | − | 11.1943i | 0.913859 | − | 0.440091i | 0.0829844 | − | 0.996551i | \(-0.473555\pi\) |
0.830875 | + | 0.556459i | \(0.187841\pi\) | |||||||
\(648\) | −2.73639 | + | 0.715648i | −0.107496 | + | 0.0281133i | ||||
\(649\) | −34.7362 | − | 7.92832i | −1.36352 | − | 0.311214i | ||||
\(650\) | −30.1081 | + | 4.86089i | −1.18094 | + | 0.190660i | ||||
\(651\) | −18.6853 | − | 9.54773i | −0.732335 | − | 0.374205i | ||||
\(652\) | 1.12797 | + | 1.16575i | 0.0441748 | + | 0.0456541i | ||||
\(653\) | −34.3473 | + | 16.5408i | −1.34411 | + | 0.647291i | −0.961035 | − | 0.276426i | \(-0.910850\pi\) |
−0.383077 | + | 0.923716i | \(0.625136\pi\) | |||||||
\(654\) | 1.51763 | + | 2.17666i | 0.0593442 | + | 0.0851140i | ||||
\(655\) | − | 41.4603i | − | 1.61999i | ||||||
\(656\) | −7.70113 | − | 39.7289i | −0.300679 | − | 1.55115i | ||||
\(657\) | −8.90425 | − | 2.03234i | −0.347388 | − | 0.0792890i | ||||
\(658\) | 18.6884 | + | 11.1193i | 0.728550 | + | 0.433475i | ||||
\(659\) | 4.32177 | − | 0.986415i | 0.168352 | − | 0.0384253i | −0.137514 | − | 0.990500i | \(-0.543911\pi\) |
0.305866 | + | 0.952075i | \(0.401054\pi\) | |||||||
\(660\) | −38.2743 | + | 12.6894i | −1.48983 | + | 0.493933i | ||||
\(661\) | −5.08442 | + | 4.05469i | −0.197761 | + | 0.157709i | −0.717364 | − | 0.696699i | \(-0.754651\pi\) |
0.519603 | + | 0.854408i | \(0.326080\pi\) | |||||||
\(662\) | 1.61300 | − | 25.0380i | 0.0626908 | − | 0.973131i | ||||
\(663\) | −1.17559 | − | 5.15058i | −0.0456560 | − | 0.200032i | ||||
\(664\) | 5.64098 | − | 12.7205i | 0.218913 | − | 0.493652i | ||||
\(665\) | −25.5967 | + | 50.0937i | −0.992596 | + | 1.94255i | ||||
\(666\) | −1.86774 | − | 2.67880i | −0.0723736 | − | 0.103801i | ||||
\(667\) | 34.8681i | 1.35010i | ||||||||
\(668\) | −1.75181 | − | 18.2428i | −0.0677795 | − | 0.705837i | ||||
\(669\) | −3.61196 | + | 15.8250i | −0.139647 | + | 0.611832i | ||||
\(670\) | −7.65500 | + | 25.7715i | −0.295738 | + | 0.995642i | ||||
\(671\) | −1.10813 | − | 1.38955i | −0.0427788 | − | 0.0536429i | ||||
\(672\) | −4.82070 | − | 14.1690i | −0.185963 | − | 0.546581i | ||||
\(673\) | 0.338176 | − | 0.424059i | 0.0130357 | − | 0.0163463i | −0.775271 | − | 0.631629i | \(-0.782387\pi\) |
0.788307 | + | 0.615283i | \(0.210958\pi\) | |||||||
\(674\) | 20.4566 | + | 29.3398i | 0.787959 | + | 1.13013i | ||||
\(675\) | 5.43428 | − | 6.81437i | 0.209165 | − | 0.262285i | ||||
\(676\) | 7.12595 | + | 11.7666i | 0.274075 | + | 0.452562i | ||||
\(677\) | −12.0262 | + | 9.59053i | −0.462203 | + | 0.368594i | −0.826730 | − | 0.562598i | \(-0.809802\pi\) |
0.364528 | + | 0.931192i | \(0.381230\pi\) | |||||||
\(678\) | 9.01051 | − | 3.64566i | 0.346047 | − | 0.140011i | ||||
\(679\) | −0.628040 | + | 26.6176i | −0.0241020 | + | 1.02149i | ||||
\(680\) | −21.9512 | − | 4.28995i | −0.841790 | − | 0.164512i | ||||
\(681\) | 23.3750 | + | 11.2568i | 0.895732 | + | 0.431362i | ||||
\(682\) | −29.9744 | + | 53.1954i | −1.14778 | + | 2.03696i | ||||
\(683\) | 20.8844 | − | 43.3668i | 0.799118 | − | 1.65939i | 0.0483396 | − | 0.998831i | \(-0.484607\pi\) |
0.750778 | − | 0.660554i | \(-0.229679\pi\) | |||||||
\(684\) | 9.62037 | + | 6.26816i | 0.367844 | + | 0.239669i | ||||
\(685\) | − | 35.2208i | − | 1.34572i | ||||||
\(686\) | −2.33567 | − | 26.0873i | −0.0891764 | − | 0.996016i | ||||
\(687\) | 1.59650i | 0.0609103i | ||||||||
\(688\) | −32.9186 | − | 17.2103i | −1.25501 | − | 0.656135i | ||||
\(689\) | −0.0151866 | + | 0.0315352i | −0.000578562 | + | 0.00120140i | ||||
\(690\) | −23.0542 | − | 12.9905i | −0.877658 | − | 0.494541i | ||||
\(691\) | −31.3638 | − | 15.1040i | −1.19314 | − | 0.574584i | −0.271424 | − | 0.962460i | \(-0.587495\pi\) |
−0.921712 | + | 0.387876i | \(0.873209\pi\) | |||||||
\(692\) | −20.0195 | + | 12.1240i | −0.761027 | + | 0.460884i | ||||
\(693\) | −0.339748 | + | 14.3992i | −0.0129060 | + | 0.546981i | ||||
\(694\) | −9.64731 | − | 23.8440i | −0.366207 | − | 0.905107i | ||||
\(695\) | −3.68884 | + | 2.94175i | −0.139926 | + | 0.111587i | ||||
\(696\) | −19.1573 | − | 3.74394i | −0.726157 | − | 0.141914i | ||||
\(697\) | −13.4687 | + | 16.8892i | −0.510164 | + | 0.639725i | ||||
\(698\) | −10.3225 | + | 7.19716i | −0.390712 | + | 0.272416i | ||||
\(699\) | 0.00695106 | − | 0.00871636i | 0.000262913 | − | 0.000329683i | ||||
\(700\) | 38.0372 | + | 26.0816i | 1.43767 | + | 0.985791i | ||||
\(701\) | 7.90747 | + | 9.91565i | 0.298661 | + | 0.374509i | 0.908406 | − | 0.418088i | \(-0.137300\pi\) |
−0.609745 | + | 0.792597i | \(0.708728\pi\) | |||||||
\(702\) | 3.35427 | + | 0.996330i | 0.126599 | + | 0.0376040i | ||||
\(703\) | −2.94999 | + | 12.9248i | −0.111261 | + | 0.487467i | ||||
\(704\) | −41.7674 | + | 12.3367i | −1.57417 | + | 0.464958i | ||||
\(705\) | 21.5244i | 0.810655i | ||||||||
\(706\) | 13.4139 | − | 9.35259i | 0.504839 | − | 0.351989i | ||||
\(707\) | −3.73950 | + | 7.31836i | −0.140639 | + | 0.275235i | ||||
\(708\) | 12.4247 | − | 4.11924i | 0.466947 | − | 0.154810i | ||||
\(709\) | −7.21778 | − | 31.6232i | −0.271069 | − | 1.18763i | −0.908753 | − | 0.417334i | \(-0.862964\pi\) |
0.637684 | − | 0.770298i | \(-0.279893\pi\) | |||||||
\(710\) | 23.9881 | + | 1.54535i | 0.900256 | + | 0.0579961i | ||||
\(711\) | −3.05782 | + | 2.43853i | −0.114677 | + | 0.0914519i | ||||
\(712\) | −42.1039 | − | 18.6712i | −1.57791 | − | 0.699732i | ||||
\(713\) | −39.0658 | + | 8.91652i | −1.46303 | + | 0.333926i | ||||
\(714\) | −4.08506 | + | 6.86584i | −0.152880 | + | 0.256948i | ||||
\(715\) | 48.6339 | + | 11.1004i | 1.81880 | + | 0.415130i | ||||
\(716\) | −22.0237 | + | 2.11488i | −0.823064 | + | 0.0790366i | ||||
\(717\) | − | 11.2097i | − | 0.418633i | ||||||
\(718\) | −10.9024 | + | 7.60153i | −0.406876 | + | 0.283687i | ||||
\(719\) | −11.5281 | + | 5.55164i | −0.429926 | + | 0.207041i | −0.636316 | − | 0.771428i | \(-0.719543\pi\) |
0.206391 | + | 0.978470i | \(0.433828\pi\) | |||||||
\(720\) | 9.61272 | − | 11.2716i | 0.358245 | − | 0.420070i | ||||
\(721\) | −22.0124 | − | 11.2478i | −0.819786 | − | 0.418891i | ||||
\(722\) | −3.14670 | − | 19.4905i | −0.117108 | − | 0.725363i | ||||
\(723\) | −2.43216 | − | 0.555124i | −0.0904529 | − | 0.0206453i | ||||
\(724\) | 7.15307 | − | 10.9785i | 0.265842 | − | 0.408014i | ||||
\(725\) | 54.1941 | − | 26.0985i | 2.01272 | − | 0.969273i | ||||
\(726\) | 26.3009 | + | 1.69435i | 0.976118 | + | 0.0628833i | ||||
\(727\) | 9.99392 | + | 4.81282i | 0.370654 | + | 0.178498i | 0.609932 | − | 0.792453i | \(-0.291197\pi\) |
−0.239278 | + | 0.970951i | \(0.576911\pi\) | |||||||
\(728\) | −3.97900 | + | 18.0830i | −0.147471 | + | 0.670201i | ||||
\(729\) | −0.900969 | + | 0.433884i | −0.0333692 | + | 0.0160698i | ||||
\(730\) | 44.3436 | − | 17.9414i | 1.64123 | − | 0.664043i | ||||
\(731\) | 4.41228 | + | 19.3315i | 0.163194 | + | 0.715000i | ||||
\(732\) | 0.612674 | + | 0.225774i | 0.0226451 | + | 0.00834485i | ||||
\(733\) | −1.44980 | − | 1.15618i | −0.0535498 | − | 0.0427045i | 0.596349 | − | 0.802725i | \(-0.296617\pi\) |
−0.649899 | + | 0.760021i | \(0.725189\pi\) | |||||||
\(734\) | 6.49277 | − | 7.14612i | 0.239652 | − | 0.263768i | ||||
\(735\) | 21.0084 | − | 15.1897i | 0.774905 | − | 0.560282i | ||||
\(736\) | −24.4244 | − | 14.8428i | −0.900296 | − | 0.547112i | ||||
\(737\) | 17.4226 | − | 21.8473i | 0.641770 | − | 0.804754i | ||||
\(738\) | −5.36633 | − | 13.2633i | −0.197537 | − | 0.488228i | ||||
\(739\) | 38.0719 | − | 8.68966i | 1.40050 | − | 0.319654i | 0.545423 | − | 0.838161i | \(-0.316369\pi\) |
0.855073 | + | 0.518507i | \(0.173512\pi\) | |||||||
\(740\) | 16.0489 | + | 5.91413i | 0.589970 | + | 0.217408i | ||||
\(741\) | −6.16330 | − | 12.7982i | −0.226414 | − | 0.470154i | ||||
\(742\) | 0.0495212 | − | 0.0186894i | 0.00181798 | − | 0.000686111i | ||||
\(743\) | −17.2593 | + | 35.8392i | −0.633181 | + | 1.31481i | 0.299495 | + | 0.954098i | \(0.403182\pi\) |
−0.932676 | + | 0.360716i | \(0.882532\pi\) | |||||||
\(744\) | −0.704271 | − | 22.4211i | −0.0258198 | − | 0.821996i | ||||
\(745\) | 17.3932 | + | 36.1173i | 0.637236 | + | 1.32323i | ||||
\(746\) | 6.30840 | + | 39.0740i | 0.230967 | + | 1.43060i | ||||
\(747\) | 1.09475 | − | 4.79641i | 0.0400548 | − | 0.175491i | ||||
\(748\) | 19.4781 | + | 12.6910i | 0.712190 | + | 0.464028i | ||||
\(749\) | 24.5288 | − | 18.6318i | 0.896264 | − | 0.680789i | ||||
\(750\) | −1.25119 | + | 19.4219i | −0.0456872 | + | 0.709188i | ||||
\(751\) | 0.875054 | + | 1.81707i | 0.0319312 | + | 0.0663057i | 0.916324 | − | 0.400437i | \(-0.131142\pi\) |
−0.884393 | + | 0.466743i | \(0.845427\pi\) | |||||||
\(752\) | −0.765454 | + | 23.2350i | −0.0279132 | + | 0.847294i | ||||
\(753\) | −0.164000 | −0.00597651 | ||||||||
\(754\) | 17.8730 | + | 16.2389i | 0.650895 | + | 0.591386i | ||||
\(755\) | 10.2492 | − | 44.9047i | 0.373007 | − | 1.63425i | ||||
\(756\) | −2.63357 | − | 4.58959i | −0.0957819 | − | 0.166922i | ||||
\(757\) | 7.93082 | + | 34.7472i | 0.288250 | + | 1.26291i | 0.886924 | + | 0.461915i | \(0.152837\pi\) |
−0.598674 | + | 0.800993i | \(0.704305\pi\) | |||||||
\(758\) | −4.40431 | + | 7.81630i | −0.159972 | + | 0.283901i | ||||
\(759\) | 17.1490 | + | 21.5042i | 0.622470 | + | 0.780552i | ||||
\(760\) | −60.1089 | + | 1.88809i | −2.18038 | + | 0.0684882i | ||||
\(761\) | 43.9074 | − | 10.0216i | 1.59164 | − | 0.363282i | 0.667283 | − | 0.744805i | \(-0.267457\pi\) |
0.924359 | + | 0.381523i | \(0.124600\pi\) | |||||||
\(762\) | 4.19417 | − | 7.44337i | 0.151939 | − | 0.269645i | ||||
\(763\) | −3.18584 | + | 3.80711i | −0.115335 | + | 0.137827i | ||||
\(764\) | 1.52546 | − | 11.7905i | 0.0551894 | − | 0.426566i | ||||
\(765\) | −7.90774 | −0.285905 | ||||||||
\(766\) | 10.0027 | − | 11.0093i | 0.361413 | − | 0.397781i | ||||
\(767\) | −15.7876 | − | 3.60341i | −0.570057 | − | 0.130112i | ||||
\(768\) | 10.7775 | − | 11.8256i | 0.388900 | − | 0.426720i | ||||
\(769\) | 8.98004 | − | 7.16135i | 0.323829 | − | 0.258245i | −0.448059 | − | 0.894004i | \(-0.647884\pi\) |
0.771887 | + | 0.635759i | \(0.219313\pi\) | |||||||
\(770\) | −41.6738 | − | 62.8816i | −1.50182 | − | 2.26610i | ||||
\(771\) | −23.2903 | − | 18.5734i | −0.838781 | − | 0.668905i | ||||
\(772\) | −4.35544 | − | 0.563509i | −0.156756 | − | 0.0202811i | ||||
\(773\) | 4.83979 | + | 3.85960i | 0.174075 | + | 0.138820i | 0.706652 | − | 0.707562i | \(-0.250205\pi\) |
−0.532577 | + | 0.846382i | \(0.678776\pi\) | |||||||
\(774\) | −12.5895 | − | 3.73948i | −0.452519 | − | 0.134413i | ||||
\(775\) | 43.0990 | + | 54.0444i | 1.54816 | + | 1.94133i | ||||
\(776\) | −25.2442 | + | 13.1488i | −0.906215 | + | 0.472016i | ||||
\(777\) | 3.92080 | − | 4.68539i | 0.140658 | − | 0.168087i | ||||
\(778\) | −2.60440 | + | 8.76805i | −0.0933722 | + | 0.314350i | ||||
\(779\) | −25.2015 | + | 52.3314i | −0.902936 | + | 1.87497i | ||||
\(780\) | −17.3956 | + | 5.76730i | −0.622864 | + | 0.206503i | ||||
\(781\) | −22.5106 | − | 10.8405i | −0.805494 | − | 0.387905i | ||||
\(782\) | 2.43164 | + | 15.0614i | 0.0869551 | + | 0.538596i | ||||
\(783\) | −6.90128 | −0.246632 | ||||||||
\(784\) | 23.2182 | − | 15.6498i | 0.829220 | − | 0.558922i | ||||
\(785\) | −81.7046 | −2.91616 | ||||||||
\(786\) | −2.52336 | − | 15.6296i | −0.0900053 | − | 0.557489i | ||||
\(787\) | −7.23684 | − | 3.48508i | −0.257966 | − | 0.124230i | 0.300432 | − | 0.953803i | \(-0.402869\pi\) |
−0.558397 | + | 0.829574i | \(0.688584\pi\) | |||||||
\(788\) | −40.5622 | + | 13.4479i | −1.44497 | + | 0.479061i | ||||
\(789\) | 2.58140 | − | 5.36033i | 0.0919002 | − | 0.190833i | ||||
\(790\) | 5.83270 | − | 19.6366i | 0.207518 | − | 0.698638i | ||||
\(791\) | 10.9994 | + | 14.4808i | 0.391094 | + | 0.514878i | ||||
\(792\) | −13.6563 | + | 7.11306i | −0.485254 | + | 0.252752i | ||||
\(793\) | −0.503643 | − | 0.631548i | −0.0178849 | − | 0.0224269i | ||||
\(794\) | 2.81906 | + | 0.837352i | 0.100045 | + | 0.0297165i | ||||
\(795\) | 0.0409607 | + | 0.0326651i | 0.00145273 | + | 0.00115851i | ||||
\(796\) | 4.24012 | + | 0.548589i | 0.150287 | + | 0.0194442i | ||||
\(797\) | 19.3703 | + | 15.4473i | 0.686132 | + | 0.547172i | 0.903325 | − | 0.428956i | \(-0.141119\pi\) |
−0.217193 | + | 0.976129i | \(0.569690\pi\) | |||||||
\(798\) | −6.60055 | + | 20.4421i | −0.233657 | + | 0.723641i | ||||
\(799\) | 9.70223 | − | 7.73727i | 0.343240 | − | 0.273725i | ||||
\(800\) | −4.78805 | + | 49.0716i | −0.169283 | + | 1.73494i | ||||
\(801\) | −15.8757 | − | 3.62353i | −0.560941 | − | 0.128031i | ||||
\(802\) | 1.06710 | − | 1.17448i | 0.0376805 | − | 0.0414722i | ||||
\(803\) | −49.7205 | −1.75460 | ||||||||
\(804\) | −1.31725 | + | 10.1812i | −0.0464557 | + | 0.359063i | ||||
\(805\) | 12.1516 | − | 47.9918i | 0.428288 | − | 1.69149i | ||||
\(806\) | −13.6234 | + | 24.1773i | −0.479862 | + | 0.851608i | ||||
\(807\) | 30.2739 | − | 6.90983i | 1.06569 | − | 0.243237i | ||||
\(808\) | −8.78152 | + | 0.275838i | −0.308933 | + | 0.00970393i | ||||
\(809\) | −24.5818 | − | 30.8246i | −0.864249 | − | 1.08373i | −0.995721 | − | 0.0924137i | \(-0.970542\pi\) |
0.131472 | − | 0.991320i | \(-0.458030\pi\) | |||||||
\(810\) | 2.57115 | − | 4.56300i | 0.0903410 | − | 0.160328i | ||||
\(811\) | −8.80242 | − | 38.5659i | −0.309095 | − | 1.35423i | −0.855973 | − | 0.517020i | \(-0.827041\pi\) |
0.546879 | − | 0.837212i | \(-0.315816\pi\) | |||||||
\(812\) | −2.63225 | − | 36.4231i | −0.0923738 | − | 1.27820i | ||||
\(813\) | 5.76556 | − | 25.2606i | 0.202207 | − | 0.885926i | ||||
\(814\) | −13.1580 | − | 11.9550i | −0.461186 | − | 0.419021i | ||||
\(815\) | −3.00377 | −0.105217 | ||||||||
\(816\) | −8.53620 | − | 0.281216i | −0.298827 | − | 0.00984454i | ||||
\(817\) | 23.1324 | + | 48.0350i | 0.809302 | + | 1.68053i | ||||
\(818\) | 3.04115 | − | 47.2069i | 0.106331 | − | 1.65055i | ||||
\(819\) | −0.154415 | + | 6.54443i | −0.00539570 | + | 0.228681i | ||||
\(820\) | 62.7863 | + | 40.9085i | 2.19259 | + | 1.42859i | ||||
\(821\) | 8.24515 | − | 36.1244i | 0.287758 | − | 1.26075i | −0.599836 | − | 0.800123i | \(-0.704768\pi\) |
0.887594 | − | 0.460627i | \(-0.152375\pi\) | |||||||
\(822\) | −2.14361 | − | 13.2774i | −0.0747670 | − | 0.463104i | ||||
\(823\) | 11.6759 | + | 24.2453i | 0.406997 | + | 0.845139i | 0.999225 | + | 0.0393678i | \(0.0125344\pi\) |
−0.592228 | + | 0.805771i | \(0.701751\pi\) | |||||||
\(824\) | −0.829675 | − | 26.4134i | −0.0289031 | − | 0.920154i | ||||
\(825\) | 20.5872 | − | 42.7497i | 0.716753 | − | 1.48835i | ||||
\(826\) | 13.5282 | + | 20.4127i | 0.470706 | + | 0.710249i | ||||
\(827\) | 16.5275 | + | 34.3197i | 0.574717 | + | 1.19341i | 0.962404 | + | 0.271622i | \(0.0875600\pi\) |
−0.387687 | + | 0.921791i | \(0.626726\pi\) | |||||||
\(828\) | −9.48154 | − | 3.49400i | −0.329506 | − | 0.121425i | ||||
\(829\) | 35.2338 | − | 8.04187i | 1.22372 | − | 0.279306i | 0.438618 | − | 0.898674i | \(-0.355468\pi\) |
0.785101 | + | 0.619368i | \(0.212611\pi\) | |||||||
\(830\) | 9.66444 | + | 23.8864i | 0.335458 | + | 0.829108i | ||||
\(831\) | −16.7024 | + | 20.9441i | −0.579398 | + | 0.726543i | ||||
\(832\) | −18.9833 | + | 5.60703i | −0.658126 | + | 0.194389i | ||||
\(833\) | −14.3986 | − | 4.00945i | −0.498883 | − | 0.138919i | ||||
\(834\) | −1.21157 | + | 1.33349i | −0.0419532 | + | 0.0461748i | ||||
\(835\) | 26.5327 | + | 21.1591i | 0.918201 | + | 0.732241i | ||||
\(836\) | 58.6524 | + | 21.6138i | 2.02854 | + | 0.747528i | ||||
\(837\) | −1.76480 | − | 7.73210i | −0.0610005 | − | 0.267261i | ||||
\(838\) | −0.579940 | + | 0.234644i | −0.0200337 | + | 0.00810564i | ||||
\(839\) | 4.84389 | − | 2.33269i | 0.167230 | − | 0.0805335i | −0.348396 | − | 0.937347i | \(-0.613274\pi\) |
0.515626 | + | 0.856814i | \(0.327559\pi\) | |||||||
\(840\) | 25.0630 | + | 11.8295i | 0.864756 | + | 0.408155i | ||||
\(841\) | −16.7829 | − | 8.08223i | −0.578721 | − | 0.278698i | ||||
\(842\) | −7.31112 | − | 0.470995i | −0.251958 | − | 0.0162316i | ||||
\(843\) | 17.9217 | − | 8.63062i | 0.617255 | − | 0.297254i | ||||
\(844\) | 28.3373 | − | 43.4921i | 0.975410 | − | 1.49706i | ||||
\(845\) | −24.8343 | − | 5.66827i | −0.854326 | − | 0.194994i | ||||
\(846\) | 1.31002 | + | 8.11421i | 0.0450394 | + | 0.278972i | ||||
\(847\) | 9.83477 | + | 48.3157i | 0.337927 | + | 1.66015i | ||||
\(848\) | 0.0430544 | + | 0.0367178i | 0.00147850 | + | 0.00126089i | ||||
\(849\) | −9.25789 | + | 4.45836i | −0.317730 | + | 0.153011i | ||||
\(850\) | 21.5893 | − | 15.0527i | 0.740507 | − | 0.516305i | ||||
\(851\) | − | 11.6668i | − | 0.399934i | ||||||
\(852\) | 9.13701 | − | 0.877402i | 0.313029 | − | 0.0300593i | ||||
\(853\) | 24.4409 | + | 5.57847i | 0.836840 | + | 0.191003i | 0.619405 | − | 0.785072i | \(-0.287374\pi\) |
0.217435 | + | 0.976075i | \(0.430231\pi\) | |||||||
\(854\) | −0.107265 | + | 1.21684i | −0.00367054 | + | 0.0416394i | ||||
\(855\) | −20.7291 | + | 4.73128i | −0.708921 | + | 0.161806i | ||||
\(856\) | 30.1024 | + | 13.3491i | 1.02888 | + | 0.456261i | ||||
\(857\) | −1.93367 | + | 1.54205i | −0.0660528 | + | 0.0526754i | −0.655960 | − | 0.754796i | \(-0.727736\pi\) |
0.589907 | + | 0.807471i | \(0.299164\pi\) | |||||||
\(858\) | 19.0095 | + | 1.22462i | 0.648972 | + | 0.0418080i | ||||
\(859\) | −3.19241 | − | 13.9869i | −0.108924 | − | 0.477225i | −0.999739 | − | 0.0228594i | \(-0.992723\pi\) |
0.890815 | − | 0.454366i | \(-0.150134\pi\) | |||||||
\(860\) | 65.2904 | − | 21.6462i | 2.22638 | − | 0.738129i | ||||
\(861\) | 21.3154 | − | 16.1909i | 0.726427 | − | 0.551784i | ||||
\(862\) | −3.30079 | + | 2.30142i | −0.112425 | + | 0.0783866i | ||||
\(863\) | 20.3537i | 0.692849i | 0.938078 | + | 0.346425i | \(0.112604\pi\) | ||||
−0.938078 | + | 0.346425i | \(0.887396\pi\) | |||||||
\(864\) | 2.93776 | − | 4.83421i | 0.0999446 | − | 0.164463i | ||||
\(865\) | 9.64389 | − | 42.2527i | 0.327902 | − | 1.43663i | ||||
\(866\) | −23.0703 | − | 6.85263i | −0.783960 | − | 0.232862i | ||||
\(867\) | −7.75677 | − | 9.72668i | −0.263434 | − | 0.330335i | ||||
\(868\) | 40.1349 | − | 12.2633i | 1.36227 | − | 0.416244i | ||||
\(869\) | −13.2751 | + | 16.6465i | −0.450327 | + | 0.564693i | ||||
\(870\) | 29.6502 | − | 20.6731i | 1.00524 | − | 0.700883i | ||||
\(871\) | 7.91856 | − | 9.92956i | 0.268310 | − | 0.336450i | ||||
\(872\) | −5.20846 | − | 1.01790i | −0.176381 | − | 0.0344703i | ||||
\(873\) | −7.86782 | + | 6.27438i | −0.266285 | + | 0.212355i | ||||
\(874\) | 15.3856 | + | 38.0268i | 0.520427 | + | 1.28627i | ||||
\(875\) | −35.6788 | + | 7.26250i | −1.20616 | + | 0.245517i | ||||
\(876\) | 15.6246 | − | 9.46237i | 0.527906 | − | 0.319704i | ||||
\(877\) | 29.4998 | + | 14.2063i | 0.996136 | + | 0.479714i | 0.859626 | − | 0.510925i | \(-0.170697\pi\) |
0.136511 | + | 0.990639i | \(0.456411\pi\) | |||||||
\(878\) | 33.1571 | + | 18.6833i | 1.11900 | + | 0.630530i | ||||
\(879\) | 1.85418 | − | 3.85025i | 0.0625400 | − | 0.129866i | ||||
\(880\) | 37.3644 | − | 71.4680i | 1.25955 | − | 2.40919i | ||||
\(881\) | − | 35.1244i | − | 1.18337i | −0.806169 | − | 0.591685i | \(-0.798463\pi\) | ||
0.806169 | − | 0.591685i | \(-0.201537\pi\) | |||||||
\(882\) | 6.99520 | − | 7.00480i | 0.235541 | − | 0.235864i | ||||
\(883\) | − | 42.1821i | − | 1.41954i | −0.704433 | − | 0.709771i | \(-0.748798\pi\) | ||
0.704433 | − | 0.709771i | \(-0.251202\pi\) | |||||||
\(884\) | 8.85278 | + | 5.76804i | 0.297751 | + | 0.194000i | ||||
\(885\) | −10.5168 | + | 21.8384i | −0.353520 | + | 0.734091i | ||||
\(886\) | −12.4109 | + | 22.0255i | −0.416952 | + | 0.739962i | ||||
\(887\) | −5.16870 | − | 2.48912i | −0.173548 | − | 0.0835763i | 0.345093 | − | 0.938569i | \(-0.387847\pi\) |
−0.518641 | + | 0.854992i | \(0.673562\pi\) | |||||||
\(888\) | 6.41003 | + | 1.25272i | 0.215107 | + | 0.0420385i | ||||
\(889\) | 15.4948 | + | 3.92332i | 0.519680 | + | 0.131584i | ||||
\(890\) | 79.0619 | − | 31.9885i | 2.65016 | − | 1.07226i | ||||
\(891\) | −4.25622 | + | 3.39422i | −0.142589 | + | 0.113711i | ||||
\(892\) | −16.8170 | − | 27.7687i | −0.563074 | − | 0.929766i | ||||
\(893\) | 20.8039 | − | 26.0872i | 0.696174 | − | 0.872975i | ||||
\(894\) | 8.75500 | + | 12.5568i | 0.292811 | + | 0.419962i | ||||
\(895\) | 25.5444 | − | 32.0316i | 0.853854 | − | 1.07070i | ||||
\(896\) | 26.6342 | + | 13.6609i | 0.889786 | + | 0.456378i | ||||
\(897\) | 7.79421 | + | 9.77363i | 0.260241 | + | 0.326332i | ||||
\(898\) | −10.9952 | + | 37.0168i | −0.366915 | + | 1.23527i | ||||
\(899\) | 12.1794 | − | 53.3614i | 0.406205 | − | 1.77970i | ||||
\(900\) | 1.66626 | + | 17.3520i | 0.0555421 | + | 0.578400i | ||||
\(901\) | − | 0.0302053i | − | 0.00100628i | ||||||
\(902\) | −44.5482 | − | 63.8930i | −1.48329 | − | 2.12740i | ||||
\(903\) | 0.579560 | − | 24.5629i | 0.0192866 | − | 0.817403i | ||||
\(904\) | −7.88072 | + | 17.7712i | −0.262109 | + | 0.591060i | ||||
\(905\) | 5.39922 | + | 23.6555i | 0.179476 | + | 0.786337i | ||||
\(906\) | 1.13072 | − | 17.5518i | 0.0375657 | − | 0.583121i | ||||
\(907\) | −23.3997 | + | 18.6606i | −0.776974 | + | 0.619616i | −0.929559 | − | 0.368675i | \(-0.879812\pi\) |
0.152585 | + | 0.988290i | \(0.451240\pi\) | |||||||
\(908\) | −49.2523 | + | 16.3290i | −1.63449 | + | 0.541896i | ||||
\(909\) | −3.02839 | + | 0.691210i | −0.100445 | + | 0.0229260i | ||||
\(910\) | −18.9407 | − | 28.5796i | −0.627878 | − | 0.947406i | ||||
\(911\) | 5.33570 | + | 1.21784i | 0.176780 | + | 0.0403488i | 0.309994 | − | 0.950738i | \(-0.399673\pi\) |
−0.133215 | + | 0.991087i | \(0.542530\pi\) | |||||||
\(912\) | −22.5448 | + | 4.37013i | −0.746533 | + | 0.144709i | ||||
\(913\) | − | 26.7827i | − | 0.886378i | ||||||
\(914\) | 9.81256 | + | 14.0736i | 0.324571 | + | 0.465513i | ||||
\(915\) | −1.08936 | + | 0.524608i | −0.0360132 | + | 0.0173430i | ||||
\(916\) | −2.22031 | − | 2.29466i | −0.0733612 | − | 0.0758178i | ||||
\(917\) | 26.9814 | − | 12.2181i | 0.891005 | − | 0.403478i | ||||
\(918\) | −2.98104 | + | 0.481282i | −0.0983889 | + | 0.0158847i | ||||
\(919\) | −58.2028 | − | 13.2844i | −1.91993 | − | 0.438212i | −0.998801 | − | 0.0489616i | \(-0.984409\pi\) |
−0.921132 | − | 0.389250i | \(-0.872734\pi\) | |||||||
\(920\) | 51.2023 | − | 13.3909i | 1.68809 | − | 0.441486i | ||||
\(921\) | 21.3314 | − | 10.2727i | 0.702895 | − | 0.338496i | ||||
\(922\) | 0.898695 | − | 13.9502i | 0.0295969 | − | 0.459424i | ||||
\(923\) | −10.2311 | − | 4.92702i | −0.336760 | − | 0.162175i | ||||
\(924\) | −19.5372 | − | 21.1686i | −0.642726 | − | 0.696395i | ||||
\(925\) | −18.1333 | + | 8.73253i | −0.596219 | + | 0.287124i | ||||
\(926\) | 19.4290 | + | 48.0203i | 0.638478 | + | 1.57804i | ||||
\(927\) | −2.07905 | − | 9.10890i | −0.0682849 | − | 0.299175i | ||||
\(928\) | 32.7418 | − | 21.2616i | 1.07480 | − | 0.697947i | ||||
\(929\) | 6.40751 | + | 5.10982i | 0.210224 | + | 0.167648i | 0.722941 | − | 0.690910i | \(-0.242790\pi\) |
−0.512717 | + | 0.858557i | \(0.671361\pi\) | |||||||
\(930\) | 30.7440 | + | 27.9332i | 1.00814 | + | 0.915966i | ||||
\(931\) | −40.1431 | − | 1.89540i | −1.31564 | − | 0.0621192i | ||||
\(932\) | 0.00213134 | + | 0.0221952i | 6.98144e−5 | + | 0.000727027i | ||||
\(933\) | −4.53160 | + | 5.68245i | −0.148358 | + | 0.186035i | ||||
\(934\) | −1.77175 | + | 0.716850i | −0.0579734 | + | 0.0234561i | ||||
\(935\) | −41.9696 | + | 9.57929i | −1.37255 | + | 0.313276i | ||||
\(936\) | −6.20676 | + | 3.23288i | −0.202874 | + | 0.105670i | ||||
\(937\) | 8.45854 | + | 17.5643i | 0.276329 | + | 0.573802i | 0.992233 | − | 0.124397i | \(-0.0396995\pi\) |
−0.715904 | + | 0.698199i | \(0.753985\pi\) | |||||||
\(938\) | −19.0274 | + | 2.61303i | −0.621268 | + | 0.0853185i | ||||
\(939\) | 2.38146 | − | 4.94515i | 0.0777159 | − | 0.161379i | ||||
\(940\) | −29.9347 | − | 30.9372i | −0.976364 | − | 1.00906i | ||||
\(941\) | −22.5065 | − | 46.7352i | −0.733690 | − | 1.52352i | −0.847952 | − | 0.530073i | \(-0.822165\pi\) |
0.114262 | − | 0.993451i | \(-0.463550\pi\) | |||||||
\(942\) | −30.8008 | + | 4.97272i | −1.00354 | + | 0.162020i | ||||
\(943\) | 11.3744 | − | 49.8343i | 0.370400 | − | 1.62283i | ||||
\(944\) | −12.1293 | + | 23.2000i | −0.394774 | + | 0.755097i | ||||
\(945\) | 9.49878 | + | 2.40511i | 0.308995 | + | 0.0782382i | ||||
\(946\) | −71.3474 | − | 4.59633i | −2.31971 | − | 0.149440i | ||||
\(947\) | 8.93144 | + | 18.5463i | 0.290233 | + | 0.602675i | 0.994199 | − | 0.107559i | \(-0.0343035\pi\) |
−0.703966 | + | 0.710234i | \(0.748589\pi\) | |||||||
\(948\) | 1.00367 | − | 7.75753i | 0.0325978 | − | 0.251953i | ||||
\(949\) | −22.5979 | −0.733559 | ||||||||
\(950\) | 47.5874 | − | 52.3759i | 1.54394 | − | 1.69930i | ||||
\(951\) | −7.61891 | + | 33.3806i | −0.247060 | + | 1.08244i | ||||
\(952\) | −3.67709 | − | 15.5496i | −0.119175 | − | 0.503964i | ||||
\(953\) | −8.44962 | − | 37.0202i | −0.273710 | − | 1.19920i | −0.905596 | − | 0.424141i | \(-0.860576\pi\) |
0.631886 | − | 0.775061i | \(-0.282281\pi\) | |||||||
\(954\) | 0.0174293 | + | 0.00982105i | 0.000564296 | + | 0.000317968i | ||||
\(955\) | 13.7262 | + | 17.2121i | 0.444169 | + | 0.556970i | ||||
\(956\) | 15.5897 | + | 16.1118i | 0.504207 | + | 0.521091i | ||||
\(957\) | −36.6279 | + | 8.36009i | −1.18401 | + | 0.270243i | ||||
\(958\) | 5.14858 | + | 2.90111i | 0.166343 | + | 0.0937306i | ||||
\(959\) | 22.9209 | − | 10.3794i | 0.740154 | − | 0.335167i | ||||
\(960\) | 1.85946 | + | 29.5696i | 0.0600139 | + | 0.954354i | ||||
\(961\) | 31.9000 | 1.02903 | ||||||||
\(962\) | −5.98028 | − | 5.43352i | −0.192812 | − | 0.175184i | ||||
\(963\) | 11.3504 | + | 2.59066i | 0.365762 | + | 0.0834829i | ||||
\(964\) | 4.26779 | − | 2.58461i | 0.137456 | − | 0.0832446i | ||||
\(965\) | 6.35817 | − | 5.07047i | 0.204677 | − | 0.163224i | ||||
\(966\) | 1.66000 | − | 18.8314i | 0.0534096 | − | 0.605890i | ||||
\(967\) | 4.17074 | + | 3.32606i | 0.134122 | + | 0.106959i | 0.688253 | − | 0.725471i | \(-0.258378\pi\) |
−0.554131 | + | 0.832430i | \(0.686949\pi\) | |||||||
\(968\) | −40.1589 | + | 34.1423i | −1.29076 | + | 1.09738i | ||||
\(969\) | 9.58405 | + | 7.64302i | 0.307884 | + | 0.245529i | ||||
\(970\) | 15.0077 | − | 50.5252i | 0.481867 | − | 1.62227i | ||||
\(971\) | 19.2351 | + | 24.1200i | 0.617282 | + | 0.774047i | 0.987959 | − | 0.154714i | \(-0.0494457\pi\) |
−0.370677 | + | 0.928762i | \(0.620874\pi\) | |||||||
\(972\) | 0.691551 | − | 1.87663i | 0.0221815 | − | 0.0601931i | ||||
\(973\) | −3.00151 | − | 1.53370i | −0.0962240 | − | 0.0491681i | ||||
\(974\) | 32.6657 | + | 9.70278i | 1.04668 | + | 0.310897i | ||||
\(975\) | 9.35684 | − | 19.4297i | 0.299659 | − | 0.622248i | ||||
\(976\) | −1.19459 | + | 0.527561i | −0.0382380 | + | 0.0168868i | ||||
\(977\) | −34.0468 | − | 16.3961i | −1.08925 | − | 0.524557i | −0.198989 | − | 0.980002i | \(-0.563766\pi\) |
−0.890264 | + | 0.455445i | \(0.849480\pi\) | |||||||
\(978\) | −1.13235 | + | 0.182816i | −0.0362086 | + | 0.00584580i | ||||
\(979\) | −88.6485 | −2.83322 | ||||||||
\(980\) | −9.07056 | + | 51.0494i | −0.289748 | + | 1.63071i | ||||
\(981\) | −1.87631 | −0.0599058 | ||||||||
\(982\) | −25.5044 | + | 4.11763i | −0.813878 | + | 0.131399i | ||||
\(983\) | −18.8373 | − | 9.07158i | −0.600817 | − | 0.289338i | 0.108646 | − | 0.994080i | \(-0.465348\pi\) |
−0.709464 | + | 0.704742i | \(0.751063\pi\) | |||||||
\(984\) | 26.1588 | + | 11.6003i | 0.833912 | + | 0.369803i | ||||
\(985\) | 34.3338 | − | 71.2950i | 1.09397 | − | 2.27165i | ||||
\(986\) | −19.9767 | − | 5.93374i | −0.636189 | − | 0.188969i | ||||
\(987\) | −14.0076 | + | 6.34312i | −0.445867 | + | 0.201904i | ||||
\(988\) | 26.6575 | + | 9.82345i | 0.848088 | + | 0.312526i | ||||
\(989\) | −29.2537 | − | 36.6830i | −0.930213 | − | 1.16645i | ||||
\(990\) | 8.11862 | − | 27.3324i | 0.258027 | − | 0.868680i | ||||
\(991\) | −6.16493 | − | 4.91637i | −0.195836 | − | 0.156174i | 0.520663 | − | 0.853762i | \(-0.325685\pi\) |
−0.716498 | + | 0.697589i | \(0.754256\pi\) | |||||||
\(992\) | 32.1940 | + | 31.2465i | 1.02216 | + | 0.992077i | ||||
\(993\) | 13.8707 | + | 11.0615i | 0.440173 | + | 0.351026i | ||||
\(994\) | 6.06347 | + | 16.0663i | 0.192321 | + | 0.509592i | ||||
\(995\) | −6.18983 | + | 4.93622i | −0.196231 | + | 0.156489i | ||||
\(996\) | 5.09705 | + | 8.41642i | 0.161506 | + | 0.266685i | ||||
\(997\) | −16.2622 | − | 3.71174i | −0.515028 | − | 0.117552i | −0.0428961 | − | 0.999080i | \(-0.513658\pi\) |
−0.472132 | + | 0.881528i | \(0.656516\pi\) | |||||||
\(998\) | −15.5783 | − | 14.1540i | −0.493123 | − | 0.448038i | ||||
\(999\) | 2.30916 | 0.0730586 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 588.2.x.b.55.14 | yes | 168 | |
4.3 | odd | 2 | 588.2.x.a.55.27 | ✓ | 168 | ||
49.41 | odd | 14 | 588.2.x.a.139.27 | yes | 168 | ||
196.139 | even | 14 | inner | 588.2.x.b.139.14 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.x.a.55.27 | ✓ | 168 | 4.3 | odd | 2 | ||
588.2.x.a.139.27 | yes | 168 | 49.41 | odd | 14 | ||
588.2.x.b.55.14 | yes | 168 | 1.1 | even | 1 | trivial | |
588.2.x.b.139.14 | yes | 168 | 196.139 | even | 14 | inner |