Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(19,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 0, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.t (of order \(22\), degree \(10\), 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: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 451.18 | ||
Character | \(\chi\) | \(=\) | 552.451 |
Dual form | 552.2.t.b.235.18 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{21}{22}\right)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.833980 | + | 1.14214i | 0.589713 | + | 0.807613i | ||||
\(3\) | −0.654861 | − | 0.755750i | −0.378084 | − | 0.436332i | ||||
\(4\) | −0.608956 | + | 1.90504i | −0.304478 | + | 0.952519i | ||||
\(5\) | −0.465475 | − | 3.23745i | −0.208167 | − | 1.44783i | −0.779133 | − | 0.626858i | \(-0.784340\pi\) |
0.570966 | − | 0.820973i | \(-0.306569\pi\) | |||||||
\(6\) | 0.317029 | − | 1.37822i | 0.129427 | − | 0.562656i | ||||
\(7\) | −1.58197 | + | 3.46403i | −0.597928 | + | 1.30928i | 0.332603 | + | 0.943067i | \(0.392073\pi\) |
−0.930531 | + | 0.366212i | \(0.880654\pi\) | |||||||
\(8\) | −2.68367 | + | 0.893252i | −0.948822 | + | 0.315812i | ||||
\(9\) | −0.142315 | + | 0.989821i | −0.0474383 | + | 0.329940i | ||||
\(10\) | 3.30942 | − | 3.23160i | 1.04653 | − | 1.02192i | ||||
\(11\) | −1.61071 | + | 5.48557i | −0.485647 | + | 1.65396i | 0.243726 | + | 0.969844i | \(0.421630\pi\) |
−0.729373 | + | 0.684116i | \(0.760188\pi\) | |||||||
\(12\) | 1.83851 | − | 0.787317i | 0.530733 | − | 0.227279i | ||||
\(13\) | 4.22482 | − | 1.92941i | 1.17175 | − | 0.535122i | 0.268102 | − | 0.963390i | \(-0.413604\pi\) |
0.903652 | + | 0.428268i | \(0.140876\pi\) | |||||||
\(14\) | −5.27572 | + | 1.08210i | −1.41000 | + | 0.289204i | ||||
\(15\) | −2.14188 | + | 2.47186i | −0.553031 | + | 0.638232i | ||||
\(16\) | −3.25835 | − | 2.32017i | −0.814586 | − | 0.580042i | ||||
\(17\) | −2.56222 | + | 3.98689i | −0.621429 | + | 0.966962i | 0.377729 | + | 0.925916i | \(0.376705\pi\) |
−0.999157 | + | 0.0410456i | \(0.986931\pi\) | |||||||
\(18\) | −1.24920 | + | 0.662948i | −0.294439 | + | 0.156258i | ||||
\(19\) | 2.36591 | + | 3.68143i | 0.542778 | + | 0.844579i | 0.998973 | − | 0.0453008i | \(-0.0144246\pi\) |
−0.456196 | + | 0.889880i | \(0.650788\pi\) | |||||||
\(20\) | 6.45092 | + | 1.08472i | 1.44247 | + | 0.242550i | ||||
\(21\) | 3.65391 | − | 1.07288i | 0.797348 | − | 0.234122i | ||||
\(22\) | −7.60857 | + | 2.73520i | −1.62215 | + | 0.583147i | ||||
\(23\) | −4.79582 | − | 0.00830260i | −0.999999 | − | 0.00173121i | ||||
\(24\) | 2.43251 | + | 1.44323i | 0.496533 | + | 0.294598i | ||||
\(25\) | −5.46695 | + | 1.60524i | −1.09339 | + | 0.321048i | ||||
\(26\) | 5.72706 | + | 3.21623i | 1.12317 | + | 0.630756i | ||||
\(27\) | 0.841254 | − | 0.540641i | 0.161899 | − | 0.104046i | ||||
\(28\) | −5.63576 | − | 5.12315i | −1.06506 | − | 0.968185i | ||||
\(29\) | −4.01088 | + | 6.24104i | −0.744801 | + | 1.15893i | 0.237457 | + | 0.971398i | \(0.423686\pi\) |
−0.982258 | + | 0.187535i | \(0.939950\pi\) | |||||||
\(30\) | −4.60949 | − | 0.384840i | −0.841574 | − | 0.0702618i | ||||
\(31\) | 2.54470 | + | 2.20499i | 0.457041 | + | 0.396028i | 0.852726 | − | 0.522358i | \(-0.174947\pi\) |
−0.395685 | + | 0.918386i | \(0.629493\pi\) | |||||||
\(32\) | −0.0674406 | − | 5.65645i | −0.0119219 | − | 0.999929i | ||||
\(33\) | 5.20050 | − | 2.37499i | 0.905291 | − | 0.413433i | ||||
\(34\) | −6.69041 | + | 0.398579i | −1.14740 | + | 0.0683557i | ||||
\(35\) | 11.9510 | + | 3.50913i | 2.02008 | + | 0.593150i | ||||
\(36\) | −1.79898 | − | 0.873873i | −0.299831 | − | 0.145646i | ||||
\(37\) | 0.592506 | − | 4.12097i | 0.0974074 | − | 0.677484i | −0.881350 | − | 0.472463i | \(-0.843365\pi\) |
0.978758 | − | 0.205020i | \(-0.0657260\pi\) | |||||||
\(38\) | −2.23158 | + | 5.77244i | −0.362010 | + | 0.936413i | ||||
\(39\) | −4.22482 | − | 1.92941i | −0.676512 | − | 0.308953i | ||||
\(40\) | 4.14104 | + | 8.27247i | 0.654756 | + | 1.30799i | ||||
\(41\) | 0.740412 | + | 5.14968i | 0.115633 | + | 0.804245i | 0.962274 | + | 0.272081i | \(0.0877118\pi\) |
−0.846641 | + | 0.532164i | \(0.821379\pi\) | |||||||
\(42\) | 4.27266 | + | 3.27850i | 0.659286 | + | 0.505884i | ||||
\(43\) | 1.78902 | − | 1.55020i | 0.272823 | − | 0.236403i | −0.507693 | − | 0.861538i | \(-0.669502\pi\) |
0.780516 | + | 0.625135i | \(0.214956\pi\) | |||||||
\(44\) | −9.46937 | − | 6.40893i | −1.42756 | − | 0.966182i | ||||
\(45\) | 3.27074 | 0.487573 | ||||||||
\(46\) | −3.99014 | − | 5.48441i | −0.588314 | − | 0.808633i | ||||
\(47\) | − | 9.10137i | − | 1.32757i | −0.747923 | − | 0.663786i | \(-0.768949\pi\) | ||
0.747923 | − | 0.663786i | \(-0.231051\pi\) | |||||||
\(48\) | 0.380295 | + | 3.98188i | 0.0548909 | + | 0.574735i | ||||
\(49\) | −4.91284 | − | 5.66972i | −0.701834 | − | 0.809959i | ||||
\(50\) | −6.39273 | − | 4.90527i | −0.904069 | − | 0.693710i | ||||
\(51\) | 4.69098 | − | 0.674461i | 0.656869 | − | 0.0944435i | ||||
\(52\) | 1.10287 | + | 9.22337i | 0.152941 | + | 1.27905i | ||||
\(53\) | 1.22204 | − | 2.67589i | 0.167860 | − | 0.367562i | −0.806943 | − | 0.590629i | \(-0.798880\pi\) |
0.974803 | + | 0.223067i | \(0.0716069\pi\) | |||||||
\(54\) | 1.31907 | + | 0.509944i | 0.179503 | + | 0.0693946i | ||||
\(55\) | 18.5090 | + | 2.66119i | 2.49575 | + | 0.358835i | ||||
\(56\) | 1.15124 | − | 10.7094i | 0.153840 | − | 1.43111i | ||||
\(57\) | 1.23290 | − | 4.19886i | 0.163301 | − | 0.556153i | ||||
\(58\) | −10.4731 | + | 0.623932i | −1.37519 | + | 0.0819263i | ||||
\(59\) | −5.63778 | − | 12.3450i | −0.733976 | − | 1.60718i | −0.793217 | − | 0.608940i | \(-0.791595\pi\) |
0.0592404 | − | 0.998244i | \(-0.481132\pi\) | |||||||
\(60\) | −3.40468 | − | 5.58562i | −0.439542 | − | 0.721100i | ||||
\(61\) | −1.22773 | + | 1.41687i | −0.157194 | + | 0.181412i | −0.828884 | − | 0.559421i | \(-0.811024\pi\) |
0.671689 | + | 0.740833i | \(0.265569\pi\) | |||||||
\(62\) | −0.396179 | + | 4.74531i | −0.0503148 | + | 0.602655i | ||||
\(63\) | −3.20363 | − | 2.05885i | −0.403620 | − | 0.259391i | ||||
\(64\) | 6.40420 | − | 4.79439i | 0.800525 | − | 0.599299i | ||||
\(65\) | −8.21292 | − | 12.7795i | −1.01869 | − | 1.58511i | ||||
\(66\) | 7.04968 | + | 3.95900i | 0.867756 | + | 0.487319i | ||||
\(67\) | 3.01643 | + | 10.2730i | 0.368515 | + | 1.25505i | 0.910095 | + | 0.414399i | \(0.136008\pi\) |
−0.541580 | + | 0.840649i | \(0.682174\pi\) | |||||||
\(68\) | −6.03490 | − | 7.30896i | −0.731839 | − | 0.886342i | ||||
\(69\) | 3.13432 | + | 3.62988i | 0.377328 | + | 0.436986i | ||||
\(70\) | 5.95897 | + | 16.5762i | 0.712233 | + | 1.98124i | ||||
\(71\) | 0.936639 | + | 3.18990i | 0.111159 | + | 0.378571i | 0.996216 | − | 0.0869103i | \(-0.0276993\pi\) |
−0.885058 | + | 0.465482i | \(0.845881\pi\) | |||||||
\(72\) | −0.502233 | − | 2.78348i | −0.0591888 | − | 0.328036i | ||||
\(73\) | −3.15682 | + | 2.02876i | −0.369478 | + | 0.237449i | −0.712183 | − | 0.701994i | \(-0.752293\pi\) |
0.342705 | + | 0.939443i | \(0.388657\pi\) | |||||||
\(74\) | 5.20085 | − | 2.76008i | 0.604587 | − | 0.320853i | ||||
\(75\) | 4.79325 | + | 3.08044i | 0.553477 | + | 0.355698i | ||||
\(76\) | −8.45401 | + | 2.26533i | −0.969742 | + | 0.259851i | ||||
\(77\) | −16.4541 | − | 14.2575i | −1.87511 | − | 1.62480i | ||||
\(78\) | −1.31976 | − | 6.43441i | −0.149434 | − | 0.728554i | ||||
\(79\) | −1.47884 | − | 3.23822i | −0.166383 | − | 0.364328i | 0.808014 | − | 0.589164i | \(-0.200543\pi\) |
−0.974397 | + | 0.224836i | \(0.927815\pi\) | |||||||
\(80\) | −5.99476 | + | 11.6287i | −0.670234 | + | 1.30013i | ||||
\(81\) | −0.959493 | − | 0.281733i | −0.106610 | − | 0.0313036i | ||||
\(82\) | −5.26415 | + | 5.14038i | −0.581328 | + | 0.567660i | ||||
\(83\) | −1.76478 | − | 0.253736i | −0.193709 | − | 0.0278512i | 0.0447773 | − | 0.998997i | \(-0.485742\pi\) |
−0.238487 | + | 0.971146i | \(0.576651\pi\) | |||||||
\(84\) | −0.181183 | + | 7.61417i | −0.0197687 | + | 0.830774i | ||||
\(85\) | 14.1000 | + | 6.43925i | 1.52936 | + | 0.698435i | ||||
\(86\) | 3.26254 | + | 0.750477i | 0.351809 | + | 0.0809260i | ||||
\(87\) | 7.34323 | − | 1.05580i | 0.787277 | − | 0.113193i | ||||
\(88\) | −0.577380 | − | 16.1602i | −0.0615489 | − | 1.72269i | ||||
\(89\) | 1.02873 | − | 0.891401i | 0.109045 | − | 0.0944884i | −0.598632 | − | 0.801024i | \(-0.704289\pi\) |
0.707677 | + | 0.706536i | \(0.249743\pi\) | |||||||
\(90\) | 2.72773 | + | 3.73564i | 0.287528 | + | 0.393771i | ||||
\(91\) | 17.6872i | 1.85412i | ||||||||
\(92\) | 2.93626 | − | 9.13118i | 0.306127 | − | 0.951991i | ||||
\(93\) | − | 3.36712i | − | 0.349154i | ||||||
\(94\) | 10.3950 | − | 7.59036i | 1.07216 | − | 0.782886i | ||||
\(95\) | 10.8172 | − | 9.37314i | 1.10982 | − | 0.961664i | ||||
\(96\) | −4.23070 | + | 3.75516i | −0.431794 | + | 0.383259i | ||||
\(97\) | 10.1421 | − | 1.45822i | 1.02978 | − | 0.148059i | 0.393343 | − | 0.919392i | \(-0.371318\pi\) |
0.636433 | + | 0.771332i | \(0.280409\pi\) | |||||||
\(98\) | 2.37839 | − | 10.3396i | 0.240254 | − | 1.04445i | ||||
\(99\) | −5.20050 | − | 2.37499i | −0.522670 | − | 0.238696i | ||||
\(100\) | 0.271085 | − | 11.3923i | 0.0271085 | − | 1.13923i | ||||
\(101\) | 16.0728 | + | 2.31092i | 1.59930 | + | 0.229945i | 0.883525 | − | 0.468384i | \(-0.155164\pi\) |
0.715777 | + | 0.698329i | \(0.246073\pi\) | |||||||
\(102\) | 4.68251 | + | 4.79526i | 0.463638 | + | 0.474801i | ||||
\(103\) | 5.09570 | + | 1.49623i | 0.502094 | + | 0.147428i | 0.522965 | − | 0.852354i | \(-0.324826\pi\) |
−0.0208711 | + | 0.999782i | \(0.506644\pi\) | |||||||
\(104\) | −9.61458 | + | 8.95173i | −0.942787 | + | 0.877790i | ||||
\(105\) | −5.17421 | − | 11.3299i | −0.504951 | − | 1.10569i | ||||
\(106\) | 4.07539 | − | 0.835903i | 0.395837 | − | 0.0811901i | ||||
\(107\) | 10.3271 | + | 8.94846i | 0.998355 | + | 0.865080i | 0.990860 | − | 0.134892i | \(-0.0430688\pi\) |
0.00749505 | + | 0.999972i | \(0.497614\pi\) | |||||||
\(108\) | 0.517655 | + | 1.93185i | 0.0498114 | + | 0.185892i | ||||
\(109\) | 1.46040 | + | 0.938544i | 0.139881 | + | 0.0898962i | 0.608710 | − | 0.793393i | \(-0.291687\pi\) |
−0.468828 | + | 0.883289i | \(0.655324\pi\) | |||||||
\(110\) | 12.3967 | + | 23.3592i | 1.18198 | + | 2.22721i | ||||
\(111\) | −3.50243 | + | 2.25088i | −0.332436 | + | 0.213644i | ||||
\(112\) | 13.1917 | − | 7.61656i | 1.24650 | − | 0.719697i | ||||
\(113\) | 2.53071 | + | 8.61879i | 0.238069 | + | 0.810788i | 0.988679 | + | 0.150043i | \(0.0479412\pi\) |
−0.750611 | + | 0.660745i | \(0.770241\pi\) | |||||||
\(114\) | 5.82389 | − | 2.09363i | 0.545457 | − | 0.196086i | ||||
\(115\) | 2.20546 | + | 15.5301i | 0.205660 | + | 1.44819i | ||||
\(116\) | −9.44698 | − | 11.4414i | −0.877130 | − | 1.06231i | ||||
\(117\) | 1.30852 | + | 4.45640i | 0.120972 | + | 0.411994i | ||||
\(118\) | 9.39791 | − | 16.7346i | 0.865148 | − | 1.54055i | ||||
\(119\) | −9.75734 | − | 15.1827i | −0.894454 | − | 1.39180i | ||||
\(120\) | 3.54011 | − | 8.54691i | 0.323166 | − | 0.780222i | ||||
\(121\) | −18.2433 | − | 11.7242i | −1.65848 | − | 1.06584i | ||||
\(122\) | −2.64216 | − | 0.220590i | −0.239210 | − | 0.0199713i | ||||
\(123\) | 3.40700 | − | 3.93189i | 0.307199 | − | 0.354526i | ||||
\(124\) | −5.75020 | + | 3.50500i | −0.516384 | + | 0.314759i | ||||
\(125\) | 0.948046 | + | 2.07593i | 0.0847958 | + | 0.185677i | ||||
\(126\) | −0.320275 | − | 5.37602i | −0.0285323 | − | 0.478934i | ||||
\(127\) | −0.947126 | + | 3.22561i | −0.0840438 | + | 0.286227i | −0.990782 | − | 0.135468i | \(-0.956746\pi\) |
0.906738 | + | 0.421695i | \(0.138565\pi\) | |||||||
\(128\) | 10.8168 | + | 3.31605i | 0.956082 | + | 0.293101i | ||||
\(129\) | −2.34312 | − | 0.336890i | −0.206300 | − | 0.0296615i | ||||
\(130\) | 7.74659 | − | 20.0382i | 0.679421 | − | 1.75746i | ||||
\(131\) | 0.881061 | − | 1.92926i | 0.0769787 | − | 0.168560i | −0.867230 | − | 0.497908i | \(-0.834102\pi\) |
0.944209 | + | 0.329348i | \(0.106829\pi\) | |||||||
\(132\) | 1.35757 | + | 11.3534i | 0.118161 | + | 0.988189i | ||||
\(133\) | −16.4954 | + | 2.37168i | −1.43033 | + | 0.205651i | ||||
\(134\) | −9.21755 | + | 12.0127i | −0.796275 | + | 1.03774i | ||||
\(135\) | −2.14188 | − | 2.47186i | −0.184344 | − | 0.212744i | ||||
\(136\) | 3.31486 | − | 12.9882i | 0.284247 | − | 1.11373i | ||||
\(137\) | 10.3625i | 0.885327i | 0.896688 | + | 0.442664i | \(0.145966\pi\) | ||||
−0.896688 | + | 0.442664i | \(0.854034\pi\) | |||||||
\(138\) | −1.53186 | + | 6.60707i | −0.130401 | + | 0.562431i | ||||
\(139\) | −15.4576 | −1.31109 | −0.655547 | − | 0.755154i | \(-0.727562\pi\) | ||||
−0.655547 | + | 0.755154i | \(0.727562\pi\) | |||||||
\(140\) | −13.9626 | + | 20.6302i | −1.18006 | + | 1.74357i | ||||
\(141\) | −6.87836 | + | 5.96013i | −0.579262 | + | 0.501934i | ||||
\(142\) | −2.86216 | + | 3.73008i | −0.240188 | + | 0.313021i | ||||
\(143\) | 3.77896 | + | 26.2832i | 0.316012 | + | 2.19791i | ||||
\(144\) | 2.76026 | − | 2.89499i | 0.230022 | − | 0.241249i | ||||
\(145\) | 22.0720 | + | 10.0800i | 1.83298 | + | 0.837095i | ||||
\(146\) | −4.94985 | − | 1.91357i | −0.409653 | − | 0.158368i | ||||
\(147\) | −1.06766 | + | 7.42575i | −0.0880592 | + | 0.612465i | ||||
\(148\) | 7.48980 | + | 3.63824i | 0.615658 | + | 0.299061i | ||||
\(149\) | −0.208922 | − | 0.0613449i | −0.0171155 | − | 0.00502557i | 0.273164 | − | 0.961968i | \(-0.411930\pi\) |
−0.290279 | + | 0.956942i | \(0.593748\pi\) | |||||||
\(150\) | 0.479193 | + | 8.04358i | 0.0391260 | + | 0.656755i | ||||
\(151\) | −9.20667 | + | 4.20455i | −0.749228 | + | 0.342161i | −0.753165 | − | 0.657831i | \(-0.771474\pi\) |
0.00393705 | + | 0.999992i | \(0.498747\pi\) | |||||||
\(152\) | −9.63779 | − | 7.76641i | −0.781728 | − | 0.629939i | ||||
\(153\) | −3.58166 | − | 3.10353i | −0.289560 | − | 0.250906i | ||||
\(154\) | 2.56170 | − | 30.6833i | 0.206428 | − | 2.47253i | ||||
\(155\) | 5.95406 | − | 9.26470i | 0.478242 | − | 0.744159i | ||||
\(156\) | 6.24833 | − | 6.87352i | 0.500267 | − | 0.550322i | ||||
\(157\) | −2.85734 | + | 1.83630i | −0.228040 | + | 0.146553i | −0.649672 | − | 0.760214i | \(-0.725094\pi\) |
0.421632 | + | 0.906767i | \(0.361457\pi\) | |||||||
\(158\) | 2.46516 | − | 4.38965i | 0.196118 | − | 0.349222i | ||||
\(159\) | −2.82257 | + | 0.828781i | −0.223844 | + | 0.0657266i | ||||
\(160\) | −18.2811 | + | 2.85127i | −1.44525 | + | 0.225413i | ||||
\(161\) | 7.61560 | − | 16.5997i | 0.600194 | − | 1.30824i | ||||
\(162\) | −0.478420 | − | 1.33083i | −0.0375882 | − | 0.104560i | ||||
\(163\) | 17.0835 | − | 5.01618i | 1.33809 | − | 0.392898i | 0.467100 | − | 0.884204i | \(-0.345299\pi\) |
0.870987 | + | 0.491307i | \(0.163481\pi\) | |||||||
\(164\) | −10.2612 | − | 1.72541i | −0.801266 | − | 0.134732i | ||||
\(165\) | −10.1096 | − | 15.7309i | −0.787033 | − | 1.22465i | ||||
\(166\) | −1.18198 | − | 2.22723i | −0.0917398 | − | 0.172866i | ||||
\(167\) | −12.3189 | + | 19.1685i | −0.953262 | + | 1.48330i | −0.0795676 | + | 0.996829i | \(0.525354\pi\) |
−0.873694 | + | 0.486475i | \(0.838282\pi\) | |||||||
\(168\) | −8.84753 | + | 6.14313i | −0.682602 | + | 0.473953i | ||||
\(169\) | 5.61328 | − | 6.47807i | 0.431791 | − | 0.498313i | ||||
\(170\) | 4.40460 | + | 21.4743i | 0.337817 | + | 1.64701i | ||||
\(171\) | −3.98067 | + | 1.81791i | −0.304409 | + | 0.139019i | ||||
\(172\) | 1.86375 | + | 4.35216i | 0.142109 | + | 0.331849i | ||||
\(173\) | 4.92797 | − | 16.7831i | 0.374666 | − | 1.27600i | −0.529315 | − | 0.848425i | \(-0.677551\pi\) |
0.903982 | − | 0.427571i | \(-0.140631\pi\) | |||||||
\(174\) | 7.32997 | + | 7.50647i | 0.555684 | + | 0.569064i | ||||
\(175\) | 3.08794 | − | 21.4771i | 0.233427 | − | 1.62352i | ||||
\(176\) | 17.9757 | − | 14.1368i | 1.35497 | − | 1.06560i | ||||
\(177\) | −5.63778 | + | 12.3450i | −0.423761 | + | 0.927908i | ||||
\(178\) | 1.87604 | + | 0.431543i | 0.140615 | + | 0.0323455i | ||||
\(179\) | −1.91133 | − | 13.2936i | −0.142860 | − | 0.993612i | −0.927543 | − | 0.373716i | \(-0.878084\pi\) |
0.784684 | − | 0.619897i | \(-0.212825\pi\) | |||||||
\(180\) | −1.99174 | + | 6.23089i | −0.148455 | + | 0.464423i | ||||
\(181\) | 10.4954 | + | 12.1123i | 0.780116 | + | 0.900302i | 0.997118 | − | 0.0758691i | \(-0.0241731\pi\) |
−0.217002 | + | 0.976171i | \(0.569628\pi\) | |||||||
\(182\) | −20.2012 | + | 14.7507i | −1.49741 | + | 1.09340i | ||||
\(183\) | 1.87479 | 0.138589 | ||||||||
\(184\) | 12.8778 | − | 4.26160i | 0.949367 | − | 0.314169i | ||||
\(185\) | −13.6172 | −1.00116 | ||||||||
\(186\) | 3.84571 | − | 2.80811i | 0.281981 | − | 0.205900i | ||||
\(187\) | −17.7433 | − | 20.4769i | −1.29752 | − | 1.49742i | ||||
\(188\) | 17.3385 | + | 5.54234i | 1.26454 | + | 0.404216i | ||||
\(189\) | 0.541958 | + | 3.76940i | 0.0394217 | + | 0.274184i | ||||
\(190\) | 19.7267 | + | 4.53770i | 1.43113 | + | 0.329199i | ||||
\(191\) | −3.94430 | + | 8.63680i | −0.285399 | + | 0.624937i | −0.996979 | − | 0.0776679i | \(-0.975253\pi\) |
0.711580 | + | 0.702605i | \(0.247980\pi\) | |||||||
\(192\) | −7.81722 | − | 1.70031i | −0.564159 | − | 0.122710i | ||||
\(193\) | 0.847899 | − | 5.89727i | 0.0610331 | − | 0.424494i | −0.936281 | − | 0.351252i | \(-0.885756\pi\) |
0.997314 | − | 0.0732427i | \(-0.0233348\pi\) | |||||||
\(194\) | 10.1238 | + | 10.3676i | 0.726847 | + | 0.744348i | ||||
\(195\) | −4.27982 | + | 14.5757i | −0.306484 | + | 1.04379i | ||||
\(196\) | 13.7927 | − | 5.90654i | 0.985195 | − | 0.421895i | ||||
\(197\) | 11.8218 | − | 5.39884i | 0.842269 | − | 0.384651i | 0.0529220 | − | 0.998599i | \(-0.483147\pi\) |
0.789347 | + | 0.613947i | \(0.210419\pi\) | |||||||
\(198\) | −1.62455 | − | 7.92038i | −0.115452 | − | 0.562877i | ||||
\(199\) | −11.3121 | + | 13.0548i | −0.801893 | + | 0.925434i | −0.998483 | − | 0.0550520i | \(-0.982468\pi\) |
0.196591 | + | 0.980486i | \(0.437013\pi\) | |||||||
\(200\) | 13.2376 | − | 9.19131i | 0.936042 | − | 0.649924i | ||||
\(201\) | 5.78848 | − | 9.00706i | 0.408288 | − | 0.635309i | ||||
\(202\) | 10.7650 | + | 20.2846i | 0.757422 | + | 1.42722i | ||||
\(203\) | −15.2741 | − | 23.7669i | −1.07203 | − | 1.66811i | ||||
\(204\) | −1.57173 | + | 9.34722i | −0.110043 | + | 0.654436i | ||||
\(205\) | 16.3272 | − | 4.79409i | 1.14034 | − | 0.334834i | ||||
\(206\) | 2.54081 | + | 7.06782i | 0.177026 | + | 0.492438i | ||||
\(207\) | 0.690735 | − | 4.74583i | 0.0480094 | − | 0.329858i | ||||
\(208\) | −18.2425 | − | 3.51561i | −1.26489 | − | 0.243764i | ||||
\(209\) | −24.0055 | + | 7.04866i | −1.66050 | + | 0.487566i | ||||
\(210\) | 8.62516 | − | 15.3586i | 0.595193 | − | 1.05984i | ||||
\(211\) | 5.72322 | − | 3.67809i | 0.394003 | − | 0.253210i | −0.328607 | − | 0.944467i | \(-0.606579\pi\) |
0.722609 | + | 0.691257i | \(0.242943\pi\) | |||||||
\(212\) | 4.35351 | + | 3.95753i | 0.299000 | + | 0.271804i | ||||
\(213\) | 1.79740 | − | 2.79680i | 0.123156 | − | 0.191634i | ||||
\(214\) | −1.60780 | + | 19.2578i | −0.109907 | + | 1.31643i | ||||
\(215\) | −5.85143 | − | 5.07029i | −0.399064 | − | 0.345791i | ||||
\(216\) | −1.77472 | + | 2.20235i | −0.120754 | + | 0.149851i | ||||
\(217\) | −11.6638 | + | 5.32667i | −0.791789 | + | 0.361598i | ||||
\(218\) | 0.146000 | + | 2.45071i | 0.00988837 | + | 0.165983i | ||||
\(219\) | 3.60052 | + | 1.05721i | 0.243300 | + | 0.0714394i | ||||
\(220\) | −16.3408 | + | 33.6398i | −1.10170 | + | 2.26799i | ||||
\(221\) | −3.13256 | + | 21.7874i | −0.210719 | + | 1.46558i | ||||
\(222\) | −5.49177 | − | 2.12307i | −0.368583 | − | 0.142491i | ||||
\(223\) | −6.20780 | − | 2.83501i | −0.415705 | − | 0.189846i | 0.196572 | − | 0.980489i | \(-0.437019\pi\) |
−0.612277 | + | 0.790643i | \(0.709746\pi\) | |||||||
\(224\) | 19.7008 | + | 8.71471i | 1.31631 | + | 0.582276i | ||||
\(225\) | −0.810875 | − | 5.63976i | −0.0540583 | − | 0.375984i | ||||
\(226\) | −7.73329 | + | 10.0783i | −0.514411 | + | 0.670399i | ||||
\(227\) | 8.61587 | − | 7.46570i | 0.571856 | − | 0.495516i | −0.320256 | − | 0.947331i | \(-0.603769\pi\) |
0.892111 | + | 0.451815i | \(0.149223\pi\) | |||||||
\(228\) | 7.24822 | + | 4.90564i | 0.480025 | + | 0.324884i | ||||
\(229\) | 6.72176 | 0.444187 | 0.222093 | − | 0.975025i | \(-0.428711\pi\) | ||||
0.222093 | + | 0.975025i | \(0.428711\pi\) | |||||||
\(230\) | −15.8982 | + | 15.4707i | −1.04830 | + | 1.02011i | ||||
\(231\) | 21.7718i | 1.43248i | ||||||||
\(232\) | 5.18905 | − | 20.3316i | 0.340678 | − | 1.33484i | ||||
\(233\) | 15.2263 | + | 17.5721i | 0.997509 | + | 1.15119i | 0.988499 | + | 0.151228i | \(0.0483227\pi\) |
0.00901055 | + | 0.999959i | \(0.497132\pi\) | |||||||
\(234\) | −3.99854 | + | 5.21105i | −0.261393 | + | 0.340657i | ||||
\(235\) | −29.4652 | + | 4.23646i | −1.92210 | + | 0.276356i | ||||
\(236\) | 26.9509 | − | 3.22262i | 1.75435 | − | 0.209774i | ||||
\(237\) | −1.47884 | + | 3.23822i | −0.0960613 | + | 0.210345i | ||||
\(238\) | 9.20333 | − | 23.8063i | 0.596563 | − | 1.54313i | ||||
\(239\) | 7.76023 | + | 1.11575i | 0.501967 | + | 0.0721720i | 0.388647 | − | 0.921387i | \(-0.372942\pi\) |
0.113320 | + | 0.993559i | \(0.463852\pi\) | |||||||
\(240\) | 12.7141 | − | 3.08465i | 0.820693 | − | 0.199113i | ||||
\(241\) | 5.67425 | − | 19.3247i | 0.365510 | − | 1.24481i | −0.547475 | − | 0.836822i | \(-0.684411\pi\) |
0.912985 | − | 0.407992i | \(-0.133771\pi\) | |||||||
\(242\) | −1.82382 | − | 30.6141i | −0.117240 | − | 1.96795i | ||||
\(243\) | 0.415415 | + | 0.909632i | 0.0266489 | + | 0.0583529i | ||||
\(244\) | −1.95157 | − | 3.20168i | −0.124936 | − | 0.204967i | ||||
\(245\) | −16.0686 | + | 18.5442i | −1.02659 | + | 1.18474i | ||||
\(246\) | 7.33212 | + | 0.612148i | 0.467479 | + | 0.0390292i | ||||
\(247\) | 17.0985 | + | 10.9886i | 1.08795 | + | 0.699186i | ||||
\(248\) | −8.79875 | − | 3.64442i | −0.558721 | − | 0.231421i | ||||
\(249\) | 0.963921 | + | 1.49989i | 0.0610860 | + | 0.0950517i | ||||
\(250\) | −1.58035 | + | 2.81408i | −0.0999499 | + | 0.177978i | ||||
\(251\) | 5.01195 | + | 17.0691i | 0.316352 | + | 1.07739i | 0.952173 | + | 0.305559i | \(0.0988432\pi\) |
−0.635822 | + | 0.771836i | \(0.719339\pi\) | |||||||
\(252\) | 5.87306 | − | 4.84929i | 0.369968 | − | 0.305477i | ||||
\(253\) | 7.77021 | − | 26.2944i | 0.488509 | − | 1.65312i | ||||
\(254\) | −4.47398 | + | 1.60835i | −0.280722 | + | 0.100917i | ||||
\(255\) | −4.36707 | − | 14.8729i | −0.273477 | − | 0.931376i | ||||
\(256\) | 5.23363 | + | 15.1198i | 0.327102 | + | 0.944989i | ||||
\(257\) | 4.34380 | − | 2.79159i | 0.270959 | − | 0.174135i | −0.398105 | − | 0.917340i | \(-0.630332\pi\) |
0.669063 | + | 0.743205i | \(0.266696\pi\) | |||||||
\(258\) | −1.56934 | − | 2.95712i | −0.0977028 | − | 0.184102i | ||||
\(259\) | 13.3378 | + | 8.57171i | 0.828773 | + | 0.532620i | ||||
\(260\) | 29.3468 | − | 7.86374i | 1.82001 | − | 0.487689i | ||||
\(261\) | −5.60671 | − | 4.85824i | −0.347047 | − | 0.300718i | ||||
\(262\) | 2.93826 | − | 0.602666i | 0.181526 | − | 0.0372329i | ||||
\(263\) | −1.47972 | − | 3.24014i | −0.0912437 | − | 0.199796i | 0.858508 | − | 0.512800i | \(-0.171392\pi\) |
−0.949752 | + | 0.313004i | \(0.898665\pi\) | |||||||
\(264\) | −11.8350 | + | 11.0191i | −0.728393 | + | 0.678176i | ||||
\(265\) | −9.23190 | − | 2.71073i | −0.567111 | − | 0.166519i | ||||
\(266\) | −16.4656 | − | 16.8621i | −1.00957 | − | 1.03388i | ||||
\(267\) | −1.34735 | − | 0.193720i | −0.0824566 | − | 0.0118555i | ||||
\(268\) | −21.4074 | − | 0.509400i | −1.30766 | − | 0.0311165i | ||||
\(269\) | −26.7859 | − | 12.2327i | −1.63316 | − | 0.745841i | −0.633553 | − | 0.773700i | \(-0.718404\pi\) |
−0.999612 | + | 0.0278584i | \(0.991131\pi\) | |||||||
\(270\) | 1.03692 | − | 4.50780i | 0.0631050 | − | 0.274336i | ||||
\(271\) | −0.209209 | + | 0.0300797i | −0.0127085 | + | 0.00182721i | −0.148666 | − | 0.988887i | \(-0.547498\pi\) |
0.135958 | + | 0.990715i | \(0.456589\pi\) | |||||||
\(272\) | 17.5988 | − | 7.04588i | 1.06709 | − | 0.427219i | ||||
\(273\) | 13.3671 | − | 11.5826i | 0.809011 | − | 0.701012i | ||||
\(274\) | −11.8354 | + | 8.64211i | −0.715002 | + | 0.522089i | ||||
\(275\) | − | 32.5749i | − | 1.96434i | ||||||
\(276\) | −8.82373 | + | 3.76057i | −0.531126 | + | 0.226360i | ||||
\(277\) | 0.163107i | 0.00980014i | 0.999988 | + | 0.00490007i | \(0.00155975\pi\) | ||||
−0.999988 | + | 0.00490007i | \(0.998440\pi\) | |||||||
\(278\) | −12.8913 | − | 17.6547i | −0.773169 | − | 1.05886i | ||||
\(279\) | −2.54470 | + | 2.20499i | −0.152347 | + | 0.132009i | ||||
\(280\) | −35.2071 | + | 1.25789i | −2.10402 | + | 0.0751735i | ||||
\(281\) | −3.67501 | + | 0.528386i | −0.219233 | + | 0.0315209i | −0.251056 | − | 0.967973i | \(-0.580778\pi\) |
0.0318232 | + | 0.999494i | \(0.489869\pi\) | |||||||
\(282\) | −12.5437 | − | 2.88540i | −0.746967 | − | 0.171823i | ||||
\(283\) | 14.6472 | + | 6.68914i | 0.870684 | + | 0.397628i | 0.800092 | − | 0.599877i | \(-0.204784\pi\) |
0.0705918 | + | 0.997505i | \(0.477511\pi\) | |||||||
\(284\) | −6.64725 | − | 0.158175i | −0.394442 | − | 0.00938595i | ||||
\(285\) | −14.1675 | − | 2.03698i | −0.839210 | − | 0.120660i | ||||
\(286\) | −26.8675 | + | 26.2358i | −1.58871 | + | 1.55135i | ||||
\(287\) | −19.0099 | − | 5.58182i | −1.12212 | − | 0.329484i | ||||
\(288\) | 5.60848 | + | 0.738243i | 0.330483 | + | 0.0435014i | ||||
\(289\) | −2.26826 | − | 4.96679i | −0.133427 | − | 0.292164i | ||||
\(290\) | 6.89492 | + | 33.6158i | 0.404884 | + | 1.97399i | ||||
\(291\) | −7.74372 | − | 6.70997i | −0.453945 | − | 0.393346i | ||||
\(292\) | −1.94251 | − | 7.24929i | −0.113677 | − | 0.424233i | ||||
\(293\) | 3.20096 | + | 2.05713i | 0.187002 | + | 0.120179i | 0.630792 | − | 0.775952i | \(-0.282730\pi\) |
−0.443790 | + | 0.896131i | \(0.646366\pi\) | |||||||
\(294\) | −9.37163 | + | 4.97351i | −0.546565 | + | 0.290061i | ||||
\(295\) | −37.3421 | + | 23.9983i | −2.17414 | + | 1.39724i | ||||
\(296\) | 2.09097 | + | 11.5886i | 0.121535 | + | 0.673574i | ||||
\(297\) | 1.61071 | + | 5.48557i | 0.0934627 | + | 0.318305i | ||||
\(298\) | −0.104172 | − | 0.289778i | −0.00603452 | − | 0.0167864i | ||||
\(299\) | −20.2775 | + | 9.21803i | −1.17268 | + | 0.533093i | ||||
\(300\) | −8.78723 | + | 7.25548i | −0.507331 | + | 0.418896i | ||||
\(301\) | 2.53975 | + | 8.64958i | 0.146388 | + | 0.498553i | ||||
\(302\) | −12.4803 | − | 7.00878i | −0.718163 | − | 0.403310i | ||||
\(303\) | −8.77896 | − | 13.6603i | −0.504338 | − | 0.784765i | ||||
\(304\) | 0.832587 | − | 17.4847i | 0.0477521 | − | 1.00282i | ||||
\(305\) | 5.15853 | + | 3.31519i | 0.295377 | + | 0.189827i | ||||
\(306\) | 0.557623 | − | 6.67903i | 0.0318772 | − | 0.381815i | ||||
\(307\) | 7.43667 | − | 8.58237i | 0.424433 | − | 0.489822i | −0.502749 | − | 0.864432i | \(-0.667678\pi\) |
0.927182 | + | 0.374610i | \(0.122224\pi\) | |||||||
\(308\) | 37.1809 | − | 22.6634i | 2.11858 | − | 1.29137i | ||||
\(309\) | −2.20620 | − | 4.83090i | −0.125506 | − | 0.274820i | ||||
\(310\) | 15.5471 | − | 0.926214i | 0.883017 | − | 0.0526054i | ||||
\(311\) | 1.80771 | − | 6.15651i | 0.102506 | − | 0.349104i | −0.892229 | − | 0.451583i | \(-0.850859\pi\) |
0.994735 | + | 0.102480i | \(0.0326776\pi\) | |||||||
\(312\) | 13.0615 | + | 1.40408i | 0.739461 | + | 0.0794903i | ||||
\(313\) | −5.42827 | − | 0.780467i | −0.306824 | − | 0.0441146i | −0.0128168 | − | 0.999918i | \(-0.504080\pi\) |
−0.294007 | + | 0.955803i | \(0.594989\pi\) | |||||||
\(314\) | −4.48027 | − | 1.73204i | −0.252836 | − | 0.0977445i | ||||
\(315\) | −5.17421 | + | 11.3299i | −0.291534 | + | 0.638370i | ||||
\(316\) | 7.06948 | − | 0.845324i | 0.397689 | − | 0.0475532i | ||||
\(317\) | −29.5579 | + | 4.24978i | −1.66014 | + | 0.238691i | −0.907593 | − | 0.419852i | \(-0.862082\pi\) |
−0.752543 | + | 0.658543i | \(0.771173\pi\) | |||||||
\(318\) | −3.30055 | − | 2.53258i | −0.185086 | − | 0.142020i | ||||
\(319\) | −27.7753 | − | 32.0544i | −1.55512 | − | 1.79470i | ||||
\(320\) | −18.5026 | − | 18.5016i | −1.03433 | − | 1.03427i | ||||
\(321\) | − | 13.6647i | − | 0.762687i | ||||||
\(322\) | 25.3104 | − | 5.14577i | 1.41050 | − | 0.286763i | ||||
\(323\) | −20.7394 | −1.15397 | ||||||||
\(324\) | 1.12100 | − | 1.65631i | 0.0622778 | − | 0.0920171i | ||||
\(325\) | −19.9997 | + | 17.3298i | −1.10938 | + | 0.961287i | ||||
\(326\) | 19.9765 | + | 15.3284i | 1.10640 | + | 0.848960i | ||||
\(327\) | −0.247056 | − | 1.71831i | −0.0136622 | − | 0.0950230i | ||||
\(328\) | −6.58698 | − | 13.1587i | −0.363705 | − | 0.726566i | ||||
\(329\) | 31.5274 | + | 14.3981i | 1.73816 | + | 0.793792i | ||||
\(330\) | 9.53560 | − | 24.6658i | 0.524918 | − | 1.35781i | ||||
\(331\) | −3.13737 | + | 21.8209i | −0.172446 | + | 1.19939i | 0.701251 | + | 0.712915i | \(0.252625\pi\) |
−0.873697 | + | 0.486471i | \(0.838284\pi\) | |||||||
\(332\) | 1.55805 | − | 3.20745i | 0.0855090 | − | 0.176032i | ||||
\(333\) | 3.99470 | + | 1.17295i | 0.218908 | + | 0.0642773i | ||||
\(334\) | −32.1668 | + | 1.91632i | −1.76009 | + | 0.104857i | ||||
\(335\) | 31.8543 | − | 14.5474i | 1.74039 | − | 0.794808i | ||||
\(336\) | −14.3950 | − | 4.98186i | −0.785309 | − | 0.271783i | ||||
\(337\) | −0.188935 | − | 0.163713i | −0.0102919 | − | 0.00891801i | 0.649700 | − | 0.760191i | \(-0.274895\pi\) |
−0.659992 | + | 0.751273i | \(0.729440\pi\) | |||||||
\(338\) | 12.0802 | + | 1.00856i | 0.657076 | + | 0.0548583i | ||||
\(339\) | 4.85639 | − | 7.55669i | 0.263763 | − | 0.410423i | ||||
\(340\) | −20.8533 | + | 22.9398i | −1.13093 | + | 1.24409i | ||||
\(341\) | −16.1944 | + | 10.4075i | −0.876976 | + | 0.563598i | ||||
\(342\) | −5.39610 | − | 3.03037i | −0.291788 | − | 0.163864i | ||||
\(343\) | 1.83466 | − | 0.538705i | 0.0990623 | − | 0.0290873i | ||||
\(344\) | −3.41643 | + | 5.75826i | −0.184202 | + | 0.310465i | ||||
\(345\) | 10.2926 | − | 11.8368i | 0.554135 | − | 0.637274i | ||||
\(346\) | 23.2785 | − | 8.36836i | 1.25146 | − | 0.449886i | ||||
\(347\) | 29.6442 | − | 8.70433i | 1.59139 | − | 0.467273i | 0.638253 | − | 0.769826i | \(-0.279657\pi\) |
0.953133 | + | 0.302553i | \(0.0978390\pi\) | |||||||
\(348\) | −2.46037 | + | 14.6321i | −0.131890 | + | 0.784361i | ||||
\(349\) | 10.0862 | + | 15.6945i | 0.539904 | + | 0.840107i | 0.998830 | − | 0.0483674i | \(-0.0154018\pi\) |
−0.458925 | + | 0.888475i | \(0.651765\pi\) | |||||||
\(350\) | 27.1051 | − | 14.3846i | 1.44883 | − | 0.768890i | ||||
\(351\) | 2.51103 | − | 3.90723i | 0.134029 | − | 0.208553i | ||||
\(352\) | 31.1375 | + | 8.74094i | 1.65963 | + | 0.465894i | ||||
\(353\) | 6.91565 | − | 7.98109i | 0.368083 | − | 0.424791i | −0.541249 | − | 0.840863i | \(-0.682048\pi\) |
0.909332 | + | 0.416072i | \(0.136594\pi\) | |||||||
\(354\) | −18.8015 | + | 3.85637i | −0.999288 | + | 0.204964i | ||||
\(355\) | 9.89115 | − | 4.51714i | 0.524968 | − | 0.239745i | ||||
\(356\) | 1.07170 | + | 2.50260i | 0.0568001 | + | 0.132637i | ||||
\(357\) | −5.08463 | + | 17.3167i | −0.269107 | + | 0.916495i | ||||
\(358\) | 13.5891 | − | 13.2696i | 0.718208 | − | 0.701321i | ||||
\(359\) | −2.29231 | + | 15.9434i | −0.120983 | + | 0.841458i | 0.835462 | + | 0.549548i | \(0.185200\pi\) |
−0.956446 | + | 0.291910i | \(0.905709\pi\) | |||||||
\(360\) | −8.77760 | + | 2.92160i | −0.462620 | + | 0.153982i | ||||
\(361\) | −0.0625195 | + | 0.136899i | −0.00329050 | + | 0.00720519i | ||||
\(362\) | −5.08100 | + | 22.0886i | −0.267051 | + | 1.16095i | ||||
\(363\) | 3.08621 | + | 21.4651i | 0.161984 | + | 1.12662i | ||||
\(364\) | −33.6947 | − | 10.7707i | −1.76608 | − | 0.564538i | ||||
\(365\) | 8.03745 | + | 9.27571i | 0.420699 | + | 0.485513i | ||||
\(366\) | 1.56354 | + | 2.14127i | 0.0817274 | + | 0.111926i | ||||
\(367\) | 14.1789 | 0.740134 | 0.370067 | − | 0.929005i | \(-0.379335\pi\) | ||||
0.370067 | + | 0.929005i | \(0.379335\pi\) | |||||||
\(368\) | 15.6072 | + | 11.1542i | 0.813581 | + | 0.581452i | ||||
\(369\) | −5.20263 | −0.270838 | ||||||||
\(370\) | −11.3565 | − | 15.5528i | −0.590396 | − | 0.808549i | ||||
\(371\) | 7.33614 | + | 8.46635i | 0.380873 | + | 0.439551i | ||||
\(372\) | 6.41449 | + | 2.05043i | 0.332576 | + | 0.106310i | ||||
\(373\) | −0.890899 | − | 6.19634i | −0.0461290 | − | 0.320834i | −0.999800 | − | 0.0199836i | \(-0.993639\pi\) |
0.953671 | − | 0.300850i | \(-0.0972705\pi\) | |||||||
\(374\) | 8.58986 | − | 37.3427i | 0.444171 | − | 1.93094i | ||||
\(375\) | 0.948046 | − | 2.07593i | 0.0489569 | − | 0.107201i | ||||
\(376\) | 8.12982 | + | 24.4251i | 0.419263 | + | 1.25963i | ||||
\(377\) | −4.90369 | + | 34.1059i | −0.252553 | + | 1.75654i | ||||
\(378\) | −3.85319 | + | 3.76260i | −0.198187 | + | 0.193527i | ||||
\(379\) | 5.58321 | − | 19.0147i | 0.286790 | − | 0.976717i | −0.682518 | − | 0.730869i | \(-0.739115\pi\) |
0.969308 | − | 0.245849i | \(-0.0790666\pi\) | |||||||
\(380\) | 11.2690 | + | 26.3150i | 0.578088 | + | 1.34993i | ||||
\(381\) | 3.05799 | − | 1.39654i | 0.156666 | − | 0.0715468i | ||||
\(382\) | −13.1539 | + | 2.69799i | −0.673011 | + | 0.138041i | ||||
\(383\) | 10.2195 | − | 11.7939i | 0.522192 | − | 0.602642i | −0.431986 | − | 0.901880i | \(-0.642187\pi\) |
0.954178 | + | 0.299238i | \(0.0967325\pi\) | |||||||
\(384\) | −4.57741 | − | 10.3464i | −0.233590 | − | 0.527986i | ||||
\(385\) | −38.4991 | + | 59.9057i | −1.96209 | + | 3.05308i | ||||
\(386\) | 7.44262 | − | 3.94978i | 0.378819 | − | 0.201039i | ||||
\(387\) | 1.27981 | + | 1.99143i | 0.0650565 | + | 0.101230i | ||||
\(388\) | −3.39815 | + | 20.2091i | −0.172515 | + | 1.02596i | ||||
\(389\) | −13.0024 | + | 3.81783i | −0.659245 | + | 0.193572i | −0.594209 | − | 0.804311i | \(-0.702535\pi\) |
−0.0650367 | + | 0.997883i | \(0.520716\pi\) | |||||||
\(390\) | −20.2168 | + | 7.26772i | −1.02372 | + | 0.368015i | ||||
\(391\) | 12.3210 | − | 19.0991i | 0.623102 | − | 0.965885i | ||||
\(392\) | 18.2489 | + | 10.8273i | 0.921710 | + | 0.546859i | ||||
\(393\) | −2.03501 | + | 0.597532i | −0.102653 | + | 0.0301415i | ||||
\(394\) | 16.0254 | + | 8.99961i | 0.807346 | + | 0.453394i | ||||
\(395\) | −9.79520 | + | 6.29499i | −0.492850 | + | 0.316736i | ||||
\(396\) | 7.69133 | − | 8.46090i | 0.386504 | − | 0.425176i | ||||
\(397\) | −0.0671866 | + | 0.104544i | −0.00337200 | + | 0.00524694i | −0.842935 | − | 0.538015i | \(-0.819174\pi\) |
0.839563 | + | 0.543262i | \(0.182811\pi\) | |||||||
\(398\) | −24.3445 | − | 2.03249i | −1.22028 | − | 0.101879i | ||||
\(399\) | 12.5946 | + | 10.9133i | 0.630517 | + | 0.546346i | ||||
\(400\) | 21.5377 | + | 7.45382i | 1.07688 | + | 0.372691i | ||||
\(401\) | −34.3749 | + | 15.6985i | −1.71660 | + | 0.783945i | −0.720725 | + | 0.693221i | \(0.756191\pi\) |
−0.995876 | + | 0.0907242i | \(0.971082\pi\) | |||||||
\(402\) | 15.1148 | − | 0.900457i | 0.753857 | − | 0.0449107i | ||||
\(403\) | 15.0052 | + | 4.40593i | 0.747463 | + | 0.219475i | ||||
\(404\) | −14.1900 | + | 29.2120i | −0.705979 | + | 1.45335i | ||||
\(405\) | −0.465475 | + | 3.23745i | −0.0231296 | + | 0.160870i | ||||
\(406\) | 14.4068 | − | 37.2662i | 0.714999 | − | 1.84949i | ||||
\(407\) | 21.6515 | + | 9.88791i | 1.07323 | + | 0.490126i | ||||
\(408\) | −11.9866 | + | 6.00026i | −0.593425 | + | 0.297057i | ||||
\(409\) | 5.59951 | + | 38.9455i | 0.276878 | + | 1.92573i | 0.367868 | + | 0.929878i | \(0.380088\pi\) |
−0.0909901 | + | 0.995852i | \(0.529003\pi\) | |||||||
\(410\) | 19.0921 | + | 14.6497i | 0.942889 | + | 0.723498i | ||||
\(411\) | 7.83145 | − | 6.78599i | 0.386297 | − | 0.334728i | ||||
\(412\) | −5.95344 | + | 8.79636i | −0.293305 | + | 0.433366i | ||||
\(413\) | 51.6822 | 2.54312 | ||||||||
\(414\) | 5.99645 | − | 3.16901i | 0.294709 | − | 0.155748i | ||||
\(415\) | 5.83148i | 0.286256i | ||||||||
\(416\) | −11.1985 | − | 23.7674i | −0.549054 | − | 1.16529i | ||||
\(417\) | 10.1226 | + | 11.6821i | 0.495704 | + | 0.572073i | ||||
\(418\) | −28.0707 | − | 21.5392i | −1.37298 | − | 1.05352i | ||||
\(419\) | 23.1183 | − | 3.32390i | 1.12940 | − | 0.162383i | 0.447818 | − | 0.894125i | \(-0.352201\pi\) |
0.681583 | + | 0.731741i | \(0.261292\pi\) | |||||||
\(420\) | 24.7348 | − | 2.95764i | 1.20694 | − | 0.144318i | ||||
\(421\) | −2.61621 | + | 5.72870i | −0.127506 | + | 0.279200i | −0.962609 | − | 0.270894i | \(-0.912681\pi\) |
0.835103 | + | 0.550094i | \(0.185408\pi\) | |||||||
\(422\) | 8.97393 | + | 3.46925i | 0.436844 | + | 0.168880i | ||||
\(423\) | 9.00873 | + | 1.29526i | 0.438020 | + | 0.0629777i | ||||
\(424\) | −0.889307 | + | 8.27281i | −0.0431886 | + | 0.401763i | ||||
\(425\) | 7.60760 | − | 25.9091i | 0.369023 | − | 1.25678i | ||||
\(426\) | 4.69333 | − | 0.279603i | 0.227392 | − | 0.0135468i | ||||
\(427\) | −2.96586 | − | 6.49433i | −0.143528 | − | 0.314283i | ||||
\(428\) | −23.3359 | + | 14.2242i | −1.12798 | + | 0.687555i | ||||
\(429\) | 17.3889 | − | 20.0678i | 0.839542 | − | 0.968883i | ||||
\(430\) | 0.910998 | − | 10.9117i | 0.0439322 | − | 0.526207i | ||||
\(431\) | −9.77400 | − | 6.28137i | −0.470797 | − | 0.302563i | 0.283645 | − | 0.958929i | \(-0.408456\pi\) |
−0.754442 | + | 0.656367i | \(0.772093\pi\) | |||||||
\(432\) | −3.99547 | − | 0.190257i | −0.192232 | − | 0.00915372i | ||||
\(433\) | 7.78108 | + | 12.1076i | 0.373935 | + | 0.581854i | 0.976315 | − | 0.216356i | \(-0.0694171\pi\) |
−0.602380 | + | 0.798210i | \(0.705781\pi\) | |||||||
\(434\) | −15.8112 | − | 8.87931i | −0.758960 | − | 0.426221i | ||||
\(435\) | −6.83618 | − | 23.2819i | −0.327770 | − | 1.11628i | ||||
\(436\) | −2.67728 | + | 2.21059i | −0.128219 | + | 0.105868i | ||||
\(437\) | −11.3159 | − | 17.6752i | −0.541315 | − | 0.845517i | ||||
\(438\) | 1.79528 | + | 4.99397i | 0.0857818 | + | 0.238621i | ||||
\(439\) | 8.38615 | + | 28.5606i | 0.400249 | + | 1.36312i | 0.875477 | + | 0.483260i | \(0.160548\pi\) |
−0.475227 | + | 0.879863i | \(0.657634\pi\) | |||||||
\(440\) | −52.0492 | + | 9.39143i | −2.48135 | + | 0.447719i | ||||
\(441\) | 6.31118 | − | 4.05595i | 0.300532 | − | 0.193140i | ||||
\(442\) | −27.4967 | + | 14.5925i | −1.30789 | + | 0.694093i | ||||
\(443\) | −13.7287 | − | 8.82290i | −0.652271 | − | 0.419189i | 0.172225 | − | 0.985058i | \(-0.444904\pi\) |
−0.824495 | + | 0.565869i | \(0.808541\pi\) | |||||||
\(444\) | −2.15518 | − | 8.04295i | −0.102280 | − | 0.381702i | ||||
\(445\) | −3.36472 | − | 2.91554i | −0.159503 | − | 0.138210i | ||||
\(446\) | −1.93921 | − | 9.45450i | −0.0918243 | − | 0.447683i | ||||
\(447\) | 0.0904532 | + | 0.198065i | 0.00427829 | + | 0.00936814i | ||||
\(448\) | 6.47666 | + | 29.7689i | 0.305993 | + | 1.40645i | ||||
\(449\) | 31.3512 | + | 9.20553i | 1.47955 | + | 0.434436i | 0.919191 | − | 0.393812i | \(-0.128844\pi\) |
0.560362 | + | 0.828248i | \(0.310662\pi\) | |||||||
\(450\) | 5.76512 | − | 5.62957i | 0.271771 | − | 0.265381i | ||||
\(451\) | −29.4415 | − | 4.23305i | −1.38635 | − | 0.199326i | ||||
\(452\) | −17.9602 | − | 0.427373i | −0.844778 | − | 0.0201019i | ||||
\(453\) | 9.20667 | + | 4.20455i | 0.432567 | + | 0.197547i | ||||
\(454\) | 15.7123 | + | 3.61427i | 0.737415 | + | 0.169626i | ||||
\(455\) | 57.2613 | − | 8.23293i | 2.68445 | − | 0.385966i | ||||
\(456\) | 0.441949 | + | 12.3697i | 0.0206962 | + | 0.579263i | ||||
\(457\) | 25.3478 | − | 21.9640i | 1.18572 | − | 1.02743i | 0.186735 | − | 0.982410i | \(-0.440209\pi\) |
0.998986 | − | 0.0450232i | \(-0.0143362\pi\) | |||||||
\(458\) | 5.60581 | + | 7.67718i | 0.261943 | + | 0.358731i | ||||
\(459\) | 4.73922i | 0.221208i | ||||||||
\(460\) | −30.9285 | − | 5.25567i | −1.44205 | − | 0.245047i | ||||
\(461\) | − | 7.83287i | − | 0.364813i | −0.983223 | − | 0.182407i | \(-0.941611\pi\) | ||
0.983223 | − | 0.182407i | \(-0.0583887\pi\) | |||||||
\(462\) | −24.8664 | + | 18.1573i | −1.15689 | + | 0.844753i | ||||
\(463\) | −3.05065 | + | 2.64341i | −0.141776 | + | 0.122849i | −0.722862 | − | 0.690993i | \(-0.757174\pi\) |
0.581086 | + | 0.813842i | \(0.302628\pi\) | |||||||
\(464\) | 27.5491 | − | 11.0296i | 1.27893 | − | 0.512035i | ||||
\(465\) | −10.9009 | + | 1.56731i | −0.505516 | + | 0.0726822i | ||||
\(466\) | −7.37133 | + | 32.0453i | −0.341470 | + | 1.48447i | ||||
\(467\) | −38.2265 | − | 17.4575i | −1.76891 | − | 0.807834i | −0.981515 | − | 0.191387i | \(-0.938701\pi\) |
−0.787396 | − | 0.616447i | \(-0.788571\pi\) | |||||||
\(468\) | −9.28644 | − | 0.220976i | −0.429266 | − | 0.0102146i | ||||
\(469\) | −40.3579 | − | 5.80259i | −1.86355 | − | 0.267939i | ||||
\(470\) | −29.4120 | − | 30.1202i | −1.35668 | − | 1.38934i | ||||
\(471\) | 3.25894 | + | 0.956912i | 0.150164 | + | 0.0440922i | ||||
\(472\) | 26.1572 | + | 28.0940i | 1.20398 | + | 1.29313i | ||||
\(473\) | 5.62211 | + | 12.3107i | 0.258505 | + | 0.566047i | ||||
\(474\) | −4.93182 | + | 1.01156i | −0.226526 | + | 0.0464627i | ||||
\(475\) | −18.8439 | − | 16.3284i | −0.864619 | − | 0.749196i | ||||
\(476\) | 34.8655 | − | 9.34250i | 1.59806 | − | 0.428213i | ||||
\(477\) | 2.47474 | + | 1.59042i | 0.113311 | + | 0.0728203i | ||||
\(478\) | 5.19753 | + | 9.79376i | 0.237729 | + | 0.447956i | ||||
\(479\) | 12.0100 | − | 7.71839i | 0.548753 | − | 0.352662i | −0.236701 | − | 0.971583i | \(-0.576066\pi\) |
0.785454 | + | 0.618920i | \(0.212430\pi\) | |||||||
\(480\) | 14.1264 | + | 11.9487i | 0.644780 | + | 0.545383i | ||||
\(481\) | −5.44781 | − | 18.5535i | −0.248399 | − | 0.845969i | ||||
\(482\) | 26.8037 | − | 9.63565i | 1.22087 | − | 0.438892i | ||||
\(483\) | −17.5324 | + | 5.11502i | −0.797752 | + | 0.232742i | ||||
\(484\) | 33.4445 | − | 27.6146i | 1.52020 | − | 1.25521i | ||||
\(485\) | −9.44181 | − | 32.1558i | −0.428730 | − | 1.46012i | ||||
\(486\) | −0.692477 | + | 1.23308i | −0.0314114 | + | 0.0559334i | ||||
\(487\) | −6.36653 | − | 9.90651i | −0.288495 | − | 0.448907i | 0.666510 | − | 0.745496i | \(-0.267787\pi\) |
−0.955005 | + | 0.296589i | \(0.904151\pi\) | |||||||
\(488\) | 2.02919 | − | 4.89909i | 0.0918573 | − | 0.221771i | ||||
\(489\) | −14.9783 | − | 9.62598i | −0.677343 | − | 0.435302i | ||||
\(490\) | −34.5809 | − | 2.88711i | −1.56221 | − | 0.130426i | ||||
\(491\) | 22.3445 | − | 25.7869i | 1.00839 | − | 1.16375i | 0.0219300 | − | 0.999760i | \(-0.493019\pi\) |
0.986462 | − | 0.163987i | \(-0.0524356\pi\) | |||||||
\(492\) | 5.41569 | + | 8.88481i | 0.244158 | + | 0.400558i | ||||
\(493\) | −14.6056 | − | 31.9818i | −0.657803 | − | 1.44039i | ||||
\(494\) | 1.70938 | + | 28.6931i | 0.0769088 | + | 1.29097i | ||||
\(495\) | −5.26821 | + | 17.9419i | −0.236788 | + | 0.806427i | ||||
\(496\) | −3.17554 | − | 13.0888i | −0.142586 | − | 0.587702i | ||||
\(497\) | −12.5316 | − | 1.80178i | −0.562120 | − | 0.0808207i | ||||
\(498\) | −0.909190 | + | 2.35181i | −0.0407418 | + | 0.105387i | ||||
\(499\) | −12.0532 | + | 26.3928i | −0.539575 | + | 1.18150i | 0.421908 | + | 0.906639i | \(0.361361\pi\) |
−0.961483 | + | 0.274866i | \(0.911367\pi\) | |||||||
\(500\) | −4.53205 | + | 0.541913i | −0.202679 | + | 0.0242351i | ||||
\(501\) | 22.5537 | − | 3.24274i | 1.00763 | − | 0.144875i | ||||
\(502\) | −15.3154 | + | 19.9597i | −0.683561 | + | 0.890843i | ||||
\(503\) | 22.3730 | + | 25.8198i | 0.997563 | + | 1.15125i | 0.988489 | + | 0.151290i | \(0.0483427\pi\) |
0.00907324 | + | 0.999959i | \(0.497112\pi\) | |||||||
\(504\) | 10.4366 | + | 2.66363i | 0.464882 | + | 0.118647i | ||||
\(505\) | − | 53.1105i | − | 2.36339i | ||||||
\(506\) | 36.5121 | − | 13.0544i | 1.62316 | − | 0.580338i | ||||
\(507\) | −8.57171 | −0.380683 | ||||||||
\(508\) | −5.56816 | − | 3.76857i | −0.247047 | − | 0.167203i | ||||
\(509\) | 21.4179 | − | 18.5587i | 0.949333 | − | 0.822601i | −0.0349162 | − | 0.999390i | \(-0.511116\pi\) |
0.984249 | + | 0.176789i | \(0.0565710\pi\) | |||||||
\(510\) | 13.3448 | − | 17.3915i | 0.590919 | − | 0.770107i | ||||
\(511\) | −2.03371 | − | 14.1448i | −0.0899659 | − | 0.625727i | ||||
\(512\) | −12.9042 | + | 18.5871i | −0.570290 | + | 0.821444i | ||||
\(513\) | 3.98067 | + | 1.81791i | 0.175751 | + | 0.0802627i | ||||
\(514\) | 6.81102 | + | 2.63309i | 0.300421 | + | 0.116140i | ||||
\(515\) | 2.47206 | − | 17.1935i | 0.108932 | − | 0.757637i | ||||
\(516\) | 2.06864 | − | 4.25858i | 0.0910670 | − | 0.187474i | ||||
\(517\) | 49.9262 | + | 14.6597i | 2.19575 | + | 0.644731i | ||||
\(518\) | 1.33342 | + | 22.3823i | 0.0585869 | + | 0.983420i | ||||
\(519\) | −15.9110 | + | 7.26629i | −0.698414 | + | 0.318955i | ||||
\(520\) | 33.4561 | + | 26.9599i | 1.46715 | + | 1.18227i | ||||
\(521\) | −10.1909 | − | 8.83048i | −0.446472 | − | 0.386870i | 0.402404 | − | 0.915462i | \(-0.368175\pi\) |
−0.848876 | + | 0.528592i | \(0.822720\pi\) | |||||||
\(522\) | 0.872899 | − | 10.4553i | 0.0382057 | − | 0.457617i | ||||
\(523\) | −8.72509 | + | 13.5765i | −0.381522 | + | 0.593659i | −0.977907 | − | 0.209039i | \(-0.932967\pi\) |
0.596386 | + | 0.802698i | \(0.296603\pi\) | |||||||
\(524\) | 3.13878 | + | 2.85329i | 0.137118 | + | 0.124646i | ||||
\(525\) | −18.2535 | + | 11.7308i | −0.796648 | + | 0.511974i | ||||
\(526\) | 2.46663 | − | 4.39226i | 0.107550 | − | 0.191512i | ||||
\(527\) | −15.3111 | + | 4.49575i | −0.666963 | + | 0.195838i | ||||
\(528\) | −22.4554 | − | 4.32751i | −0.977247 | − | 0.188331i | ||||
\(529\) | 22.9999 | + | 0.0796356i | 0.999994 | + | 0.00346242i | ||||
\(530\) | −4.60319 | − | 12.8048i | −0.199950 | − | 0.556205i | ||||
\(531\) | 13.0217 | − | 3.82351i | 0.565093 | − | 0.165926i | ||||
\(532\) | 5.52683 | − | 32.8686i | 0.239618 | − | 1.42503i | ||||
\(533\) | 13.0639 | + | 20.3279i | 0.565862 | + | 0.880499i | ||||
\(534\) | −0.902410 | − | 1.70042i | −0.0390511 | − | 0.0735844i | ||||
\(535\) | 24.1632 | − | 37.5987i | 1.04467 | − | 1.62553i | ||||
\(536\) | −17.2715 | − | 24.8750i | −0.746015 | − | 1.07444i | ||||
\(537\) | −8.79499 | + | 10.1500i | −0.379532 | + | 0.438003i | ||||
\(538\) | −8.36745 | − | 40.7950i | −0.360747 | − | 1.75880i | ||||
\(539\) | 39.0147 | − | 17.8174i | 1.68048 | − | 0.767451i | ||||
\(540\) | 6.01330 | − | 2.57511i | 0.258771 | − | 0.110815i | ||||
\(541\) | 0.905407 | − | 3.08353i | 0.0389265 | − | 0.132571i | −0.937737 | − | 0.347345i | \(-0.887083\pi\) |
0.976664 | + | 0.214774i | \(0.0689014\pi\) | |||||||
\(542\) | −0.208831 | − | 0.213859i | −0.00897006 | − | 0.00918604i | ||||
\(543\) | 2.28087 | − | 15.8638i | 0.0978813 | − | 0.680780i | ||||
\(544\) | 22.7244 | + | 14.2242i | 0.974302 | + | 0.609857i | ||||
\(545\) | 2.35871 | − | 5.16485i | 0.101036 | − | 0.221238i | ||||
\(546\) | 24.3768 | + | 5.60735i | 1.04323 | + | 0.239972i | ||||
\(547\) | −2.72536 | − | 18.9553i | −0.116528 | − | 0.810469i | −0.961332 | − | 0.275393i | \(-0.911192\pi\) |
0.844804 | − | 0.535076i | \(-0.179717\pi\) | |||||||
\(548\) | −19.7409 | − | 6.31030i | −0.843291 | − | 0.269563i | ||||
\(549\) | −1.22773 | − | 1.41687i | −0.0523981 | − | 0.0604706i | ||||
\(550\) | 37.2050 | − | 27.1668i | 1.58643 | − | 1.15840i | ||||
\(551\) | −32.4654 | −1.38307 | ||||||||
\(552\) | −11.6539 | − | 6.94167i | −0.496023 | − | 0.295457i | ||||
\(553\) | 13.5568 | 0.576492 | ||||||||
\(554\) | −0.186290 | + | 0.136028i | −0.00791472 | + | 0.00577927i | ||||
\(555\) | 8.91740 | + | 10.2912i | 0.378522 | + | 0.436838i | ||||
\(556\) | 9.41298 | − | 29.4473i | 0.399199 | − | 1.24884i | ||||
\(557\) | −0.430223 | − | 2.99227i | −0.0182291 | − | 0.126786i | 0.978675 | − | 0.205416i | \(-0.0658547\pi\) |
−0.996904 | + | 0.0786294i | \(0.974946\pi\) | |||||||
\(558\) | −4.64063 | − | 1.06748i | −0.196454 | − | 0.0451898i | ||||
\(559\) | 4.56733 | − | 10.0010i | 0.193177 | − | 0.422999i | ||||
\(560\) | −30.7987 | − | 39.1622i | −1.30148 | − | 1.65491i | ||||
\(561\) | −3.85600 | + | 26.8191i | −0.162800 | + | 1.13230i | ||||
\(562\) | −3.66837 | − | 3.75670i | −0.154741 | − | 0.158467i | ||||
\(563\) | −13.1889 | + | 44.9172i | −0.555846 | + | 1.89304i | −0.120663 | + | 0.992693i | \(0.538502\pi\) |
−0.435182 | + | 0.900342i | \(0.643316\pi\) | |||||||
\(564\) | −7.16566 | − | 16.7330i | −0.301729 | − | 0.704586i | ||||
\(565\) | 26.7249 | − | 12.2049i | 1.12433 | − | 0.513463i | ||||
\(566\) | 4.57553 | + | 22.3077i | 0.192324 | + | 0.937662i | ||||
\(567\) | 2.49382 | − | 2.87802i | 0.104730 | − | 0.120865i | ||||
\(568\) | −5.36301 | − | 7.72399i | −0.225027 | − | 0.324091i | ||||
\(569\) | 7.16660 | − | 11.1514i | 0.300439 | − | 0.467493i | −0.657908 | − | 0.753098i | \(-0.728558\pi\) |
0.958347 | + | 0.285606i | \(0.0921948\pi\) | |||||||
\(570\) | −9.48889 | − | 17.8800i | −0.397446 | − | 0.748912i | ||||
\(571\) | −17.7699 | − | 27.6505i | −0.743647 | − | 1.15714i | −0.982533 | − | 0.186089i | \(-0.940419\pi\) |
0.238886 | − | 0.971048i | \(-0.423218\pi\) | |||||||
\(572\) | −52.3718 | − | 8.80627i | −2.18977 | − | 0.368209i | ||||
\(573\) | 9.11022 | − | 2.67500i | 0.380585 | − | 0.111750i | ||||
\(574\) | −9.47869 | − | 26.3671i | −0.395633 | − | 1.10054i | ||||
\(575\) | 26.2319 | − | 7.65307i | 1.09394 | − | 0.319155i | ||||
\(576\) | 3.83418 | + | 7.02133i | 0.159757 | + | 0.292555i | ||||
\(577\) | 32.7043 | − | 9.60285i | 1.36150 | − | 0.399772i | 0.482207 | − | 0.876057i | \(-0.339835\pi\) |
0.879291 | + | 0.476285i | \(0.158017\pi\) | |||||||
\(578\) | 3.78107 | − | 6.73286i | 0.157272 | − | 0.280050i | ||||
\(579\) | −5.01211 | + | 3.22109i | −0.208296 | + | 0.133864i | ||||
\(580\) | −32.6436 | + | 35.9098i | −1.35545 | + | 1.49107i | ||||
\(581\) | 3.67077 | − | 5.71183i | 0.152289 | − | 0.236967i | ||||
\(582\) | 1.20561 | − | 14.4404i | 0.0499740 | − | 0.598573i | ||||
\(583\) | 12.7104 | + | 11.0137i | 0.526413 | + | 0.456139i | ||||
\(584\) | 6.65967 | − | 8.26438i | 0.275579 | − | 0.341982i | ||||
\(585\) | 13.8183 | − | 6.31060i | 0.571316 | − | 0.260911i | ||||
\(586\) | 0.320008 | + | 5.37154i | 0.0132194 | + | 0.221896i | ||||
\(587\) | 0.607901 | + | 0.178496i | 0.0250908 | + | 0.00736731i | 0.294254 | − | 0.955727i | \(-0.404929\pi\) |
−0.269163 | + | 0.963095i | \(0.586747\pi\) | |||||||
\(588\) | −13.4962 | − | 6.55589i | −0.556573 | − | 0.270360i | ||||
\(589\) | −2.09700 | + | 14.5850i | −0.0864054 | + | 0.600963i | ||||
\(590\) | −58.5519 | − | 22.6357i | −2.41055 | − | 0.931898i | ||||
\(591\) | −11.8218 | − | 5.39884i | −0.486284 | − | 0.222079i | ||||
\(592\) | −11.4919 | + | 12.0528i | −0.472316 | + | 0.495368i | ||||
\(593\) | −0.242022 | − | 1.68330i | −0.00993867 | − | 0.0691250i | 0.984248 | − | 0.176791i | \(-0.0565715\pi\) |
−0.994187 | + | 0.107666i | \(0.965662\pi\) | |||||||
\(594\) | −4.92197 | + | 6.41450i | −0.201951 | + | 0.263190i | ||||
\(595\) | −44.6115 | + | 38.6561i | −1.82889 | + | 1.58474i | ||||
\(596\) | 0.244089 | − | 0.360647i | 0.00999826 | − | 0.0147727i | ||||
\(597\) | 17.2740 | 0.706979 | ||||||||
\(598\) | −27.4393 | − | 15.4720i | −1.12208 | − | 0.632699i | ||||
\(599\) | 10.7697i | 0.440037i | 0.975496 | + | 0.220018i | \(0.0706117\pi\) | ||||
−0.975496 | + | 0.220018i | \(0.929388\pi\) | |||||||
\(600\) | −15.6151 | − | 3.98530i | −0.637485 | − | 0.162699i | ||||
\(601\) | 10.1798 | + | 11.7481i | 0.415243 | + | 0.479215i | 0.924382 | − | 0.381469i | \(-0.124582\pi\) |
−0.509139 | + | 0.860684i | \(0.670036\pi\) | |||||||
\(602\) | −7.76091 | + | 10.1143i | −0.316311 | + | 0.412229i | ||||
\(603\) | −10.5977 | + | 1.52372i | −0.431573 | + | 0.0620508i | ||||
\(604\) | −2.40337 | − | 20.0995i | −0.0977915 | − | 0.817835i | ||||
\(605\) | −29.4648 | + | 64.5190i | −1.19792 | + | 2.62307i | ||||
\(606\) | 8.28050 | − | 21.4192i | 0.336372 | − | 0.870096i | ||||
\(607\) | −14.3655 | − | 2.06544i | −0.583076 | − | 0.0838337i | −0.155536 | − | 0.987830i | \(-0.549711\pi\) |
−0.427540 | + | 0.903996i | \(0.640620\pi\) | |||||||
\(608\) | 20.6643 | − | 13.6310i | 0.838048 | − | 0.552808i | ||||
\(609\) | −7.95945 | + | 27.1074i | −0.322533 | + | 1.09845i | ||||
\(610\) | 0.515711 | + | 8.65655i | 0.0208805 | + | 0.350493i | ||||
\(611\) | −17.5603 | − | 38.4516i | −0.710413 | − | 1.55559i | ||||
\(612\) | 8.09342 | − | 4.93330i | 0.327157 | − | 0.199417i | ||||
\(613\) | −11.7982 | + | 13.6158i | −0.476525 | + | 0.549939i | −0.942215 | − | 0.335009i | \(-0.891261\pi\) |
0.465690 | + | 0.884948i | \(0.345806\pi\) | |||||||
\(614\) | 16.0043 | + | 1.33617i | 0.645880 | + | 0.0539236i | ||||
\(615\) | −14.3152 | − | 9.19980i | −0.577243 | − | 0.370972i | ||||
\(616\) | 56.8929 | + | 23.5649i | 2.29228 | + | 0.949458i | ||||
\(617\) | 26.2648 | + | 40.8688i | 1.05738 | + | 1.64531i | 0.704594 | + | 0.709611i | \(0.251129\pi\) |
0.352785 | + | 0.935704i | \(0.385235\pi\) | |||||||
\(618\) | 3.67762 | − | 6.54865i | 0.147936 | − | 0.263425i | ||||
\(619\) | 10.2142 | + | 34.7864i | 0.410544 | + | 1.39818i | 0.862461 | + | 0.506124i | \(0.168922\pi\) |
−0.451917 | + | 0.892060i | \(0.649260\pi\) | |||||||
\(620\) | 14.0238 | + | 16.9845i | 0.563211 | + | 0.682114i | ||||
\(621\) | −4.03899 | + | 2.58583i | −0.162079 | + | 0.103766i | ||||
\(622\) | 8.53918 | − | 3.06975i | 0.342390 | − | 0.123086i | ||||
\(623\) | 1.46042 | + | 4.97373i | 0.0585104 | + | 0.199268i | ||||
\(624\) | 9.28936 | + | 16.0890i | 0.371872 | + | 0.644075i | ||||
\(625\) | −17.6868 | + | 11.3666i | −0.707474 | + | 0.454666i | ||||
\(626\) | −3.63566 | − | 6.85072i | −0.145310 | − | 0.273810i | ||||
\(627\) | 21.0473 | + | 13.5263i | 0.840549 | + | 0.540188i | ||||
\(628\) | −1.75823 | − | 6.56157i | −0.0701610 | − | 0.261835i | ||||
\(629\) | 14.9117 | + | 12.9211i | 0.594569 | + | 0.515197i | ||||
\(630\) | −17.2555 | + | 3.53928i | −0.687477 | + | 0.141008i | ||||
\(631\) | −11.9509 | − | 26.1688i | −0.475757 | − | 1.04176i | −0.983608 | − | 0.180317i | \(-0.942288\pi\) |
0.507852 | − | 0.861444i | \(-0.330440\pi\) | |||||||
\(632\) | 6.86128 | + | 7.36934i | 0.272927 | + | 0.293136i | ||||
\(633\) | −6.52763 | − | 1.91668i | −0.259450 | − | 0.0761813i | ||||
\(634\) | −29.5045 | − | 30.2149i | −1.17177 | − | 1.19999i | ||||
\(635\) | 10.8836 | + | 1.56483i | 0.431904 | + | 0.0620984i | ||||
\(636\) | 0.139961 | − | 5.88180i | 0.00554980 | − | 0.233228i | ||||
\(637\) | −31.6950 | − | 14.4746i | −1.25580 | − | 0.573506i | ||||
\(638\) | 13.4465 | − | 58.4560i | 0.532352 | − | 2.31429i | ||||
\(639\) | −3.29073 | + | 0.473135i | −0.130179 | + | 0.0187169i | ||||
\(640\) | 5.70059 | − | 36.5625i | 0.225336 | − | 1.44526i | ||||
\(641\) | −16.8272 | + | 14.5809i | −0.664636 | + | 0.575910i | −0.920471 | − | 0.390810i | \(-0.872195\pi\) |
0.255835 | + | 0.966720i | \(0.417649\pi\) | |||||||
\(642\) | 15.6069 | − | 11.3961i | 0.615956 | − | 0.449766i | ||||
\(643\) | − | 19.5502i | − | 0.770986i | −0.922711 | − | 0.385493i | \(-0.874031\pi\) | ||
0.922711 | − | 0.385493i | \(-0.125969\pi\) | |||||||
\(644\) | 26.9856 | + | 24.6165i | 1.06338 | + | 0.970027i | ||||
\(645\) | 7.74255i | 0.304862i | ||||||||
\(646\) | −17.2963 | − | 23.6873i | −0.680513 | − | 0.931964i | ||||
\(647\) | −1.84132 | + | 1.59552i | −0.0723899 | + | 0.0627262i | −0.690304 | − | 0.723519i | \(-0.742523\pi\) |
0.617914 | + | 0.786245i | \(0.287978\pi\) | |||||||
\(648\) | 2.82662 | − | 0.100991i | 0.111040 | − | 0.00396730i | ||||
\(649\) | 76.8002 | − | 11.0422i | 3.01467 | − | 0.433444i | ||||
\(650\) | −36.4724 | − | 8.38968i | −1.43057 | − | 0.329070i | ||||
\(651\) | 11.6638 | + | 5.32667i | 0.457140 | + | 0.208769i | ||||
\(652\) | −0.847108 | + | 35.5995i | −0.0331753 | + | 1.39418i | ||||
\(653\) | 31.0459 | + | 4.46372i | 1.21492 | + | 0.174679i | 0.719822 | − | 0.694159i | \(-0.244223\pi\) |
0.495097 | + | 0.868838i | \(0.335132\pi\) | |||||||
\(654\) | 1.75651 | − | 1.71521i | 0.0686850 | − | 0.0670701i | ||||
\(655\) | −6.65598 | − | 1.95437i | −0.260071 | − | 0.0763636i | ||||
\(656\) | 9.53561 | − | 18.4973i | 0.372303 | − | 0.722199i | ||||
\(657\) | −1.55885 | − | 3.41341i | −0.0608166 | − | 0.133170i | ||||
\(658\) | 9.84862 | + | 48.0163i | 0.383939 | + | 1.87187i | ||||
\(659\) | −5.64417 | − | 4.89070i | −0.219866 | − | 0.190515i | 0.537963 | − | 0.842969i | \(-0.319194\pi\) |
−0.757828 | + | 0.652454i | \(0.773740\pi\) | |||||||
\(660\) | 36.1242 | − | 9.67980i | 1.40613 | − | 0.376786i | ||||
\(661\) | −31.6009 | − | 20.3087i | −1.22913 | − | 0.789916i | −0.245378 | − | 0.969428i | \(-0.578912\pi\) |
−0.983756 | + | 0.179511i | \(0.942548\pi\) | |||||||
\(662\) | −27.5390 | + | 14.6149i | −1.07033 | + | 0.568024i | ||||
\(663\) | 18.5172 | − | 11.9003i | 0.719150 | − | 0.462170i | ||||
\(664\) | 4.96273 | − | 0.895443i | 0.192591 | − | 0.0347499i | ||||
\(665\) | 15.3564 | + | 52.2990i | 0.595495 | + | 2.02807i | ||||
\(666\) | 1.99183 | + | 5.54072i | 0.0771819 | + | 0.214698i | ||||
\(667\) | 19.2873 | − | 29.8976i | 0.746806 | − | 1.15764i | ||||
\(668\) | −29.0151 | − | 35.1407i | −1.12263 | − | 1.35963i | ||||
\(669\) | 1.92269 | + | 6.54808i | 0.0743354 | + | 0.253163i | ||||
\(670\) | 43.1809 | + | 24.2498i | 1.66822 | + | 0.936851i | ||||
\(671\) | −5.79484 | − | 9.01694i | −0.223707 | − | 0.348095i | ||||
\(672\) | −6.31514 | − | 20.5958i | −0.243612 | − | 0.794500i | ||||
\(673\) | −3.88208 | − | 2.49486i | −0.149643 | − | 0.0961699i | 0.463677 | − | 0.886005i | \(-0.346530\pi\) |
−0.613320 | + | 0.789835i | \(0.710166\pi\) | |||||||
\(674\) | 0.0294149 | − | 0.352323i | 0.00113302 | − | 0.0135710i | ||||
\(675\) | −3.73123 | + | 4.30607i | −0.143615 | + | 0.165741i | ||||
\(676\) | 8.92273 | + | 14.6384i | 0.343182 | + | 0.563014i | ||||
\(677\) | 19.2026 | + | 42.0477i | 0.738014 | + | 1.61603i | 0.786793 | + | 0.617216i | \(0.211740\pi\) |
−0.0487790 | + | 0.998810i | \(0.515533\pi\) | |||||||
\(678\) | 12.6809 | − | 0.755460i | 0.487007 | − | 0.0290133i | ||||
\(679\) | −10.9932 | + | 37.4394i | −0.421881 | + | 1.43679i | ||||
\(680\) | −43.5916 | − | 4.68600i | −1.67166 | − | 0.179700i | ||||
\(681\) | −11.2844 | − | 1.62245i | −0.432419 | − | 0.0621725i | ||||
\(682\) | −25.3926 | − | 9.81658i | −0.972333 | − | 0.375896i | ||||
\(683\) | −2.43360 | + | 5.32883i | −0.0931189 | + | 0.203902i | −0.950460 | − | 0.310847i | \(-0.899387\pi\) |
0.857341 | + | 0.514749i | \(0.172115\pi\) | |||||||
\(684\) | −1.03914 | − | 8.69035i | −0.0397324 | − | 0.332284i | ||||
\(685\) | 33.5480 | − | 4.82348i | 1.28181 | − | 0.184296i | ||||
\(686\) | 2.14534 | + | 1.64617i | 0.0819096 | + | 0.0628509i | ||||
\(687\) | −4.40182 | − | 5.07997i | −0.167940 | − | 0.193813i | ||||
\(688\) | −9.42597 | + | 0.900240i | −0.359362 | + | 0.0343213i | ||||
\(689\) | − | 13.6630i | − | 0.520518i | ||||||
\(690\) | 22.1031 | + | 1.88389i | 0.841451 | + | 0.0717186i | ||||
\(691\) | −0.892988 | −0.0339708 | −0.0169854 | − | 0.999856i | \(-0.505407\pi\) | ||||
−0.0169854 | + | 0.999856i | \(0.505407\pi\) | |||||||
\(692\) | 28.9716 | + | 19.6081i | 1.10133 | + | 0.745390i | ||||
\(693\) | 16.4541 | − | 14.2575i | 0.625038 | − | 0.541599i | ||||
\(694\) | 34.6642 | + | 26.5986i | 1.31584 | + | 1.00967i | ||||
\(695\) | 7.19512 | + | 50.0431i | 0.272926 | + | 1.89824i | ||||
\(696\) | −18.7637 | + | 9.39277i | −0.711238 | + | 0.356032i | ||||
\(697\) | −22.4283 | − | 10.2427i | −0.849532 | − | 0.387968i | ||||
\(698\) | −9.51356 | + | 24.6088i | −0.360093 | + | 0.931456i | ||||
\(699\) | 3.30900 | − | 23.0146i | 0.125158 | − | 0.870491i | ||||
\(700\) | 39.0343 | + | 18.9613i | 1.47536 | + | 0.716669i | ||||
\(701\) | 11.5097 | + | 3.37955i | 0.434715 | + | 0.127644i | 0.491766 | − | 0.870727i | \(-0.336352\pi\) |
−0.0570510 | + | 0.998371i | \(0.518170\pi\) | |||||||
\(702\) | 6.55674 | − | 0.390615i | 0.247468 | − | 0.0147428i | ||||
\(703\) | 16.5729 | − | 7.56859i | 0.625059 | − | 0.285455i | ||||
\(704\) | 15.9847 | + | 42.8530i | 0.602445 | + | 1.61508i | ||||
\(705\) | 22.4973 | + | 19.4941i | 0.847299 | + | 0.734188i | ||||
\(706\) | 14.8830 | + | 1.24256i | 0.560130 | + | 0.0467644i | ||||
\(707\) | −33.4317 | + | 52.0208i | −1.25733 | + | 1.95644i | ||||
\(708\) | −20.0846 | − | 18.2578i | −0.754824 | − | 0.686168i | ||||
\(709\) | −16.9212 | + | 10.8746i | −0.635490 | + | 0.408405i | −0.818339 | − | 0.574736i | \(-0.805105\pi\) |
0.182848 | + | 0.983141i | \(0.441468\pi\) | |||||||
\(710\) | 13.4082 | + | 7.52986i | 0.503201 | + | 0.282590i | ||||
\(711\) | 3.41572 | − | 1.00295i | 0.128099 | − | 0.0376134i | ||||
\(712\) | −1.96453 | + | 3.31115i | −0.0736240 | + | 0.124090i | ||||
\(713\) | −12.1856 | − | 10.5959i | −0.456355 | − | 0.396819i | ||||
\(714\) | −24.0185 | + | 8.63440i | −0.898870 | + | 0.323134i | ||||
\(715\) | 83.3317 | − | 24.4684i | 3.11643 | − | 0.915066i | ||||
\(716\) | 26.4888 | + | 4.45407i | 0.989932 | + | 0.166456i | ||||
\(717\) | −4.23864 | − | 6.59545i | −0.158295 | − | 0.246312i | ||||
\(718\) | −20.1212 | + | 10.6783i | −0.750918 | + | 0.398511i | ||||
\(719\) | 17.8564 | − | 27.7851i | 0.665931 | − | 1.03621i | −0.329814 | − | 0.944046i | \(-0.606986\pi\) |
0.995744 | − | 0.0921620i | \(-0.0293778\pi\) | |||||||
\(720\) | −10.6572 | − | 7.58868i | −0.397171 | − | 0.282813i | ||||
\(721\) | −13.2442 | + | 15.2846i | −0.493241 | + | 0.569230i | ||||
\(722\) | −0.208497 | + | 0.0427648i | −0.00775945 | + | 0.00159154i | ||||
\(723\) | −18.3205 | + | 8.36669i | −0.681346 | + | 0.311160i | ||||
\(724\) | −29.4657 | + | 12.6183i | −1.09508 | + | 0.468954i | ||||
\(725\) | 11.9089 | − | 40.5579i | 0.442285 | − | 1.50628i | ||||
\(726\) | −21.9422 | + | 21.4263i | −0.814353 | + | 0.795205i | ||||
\(727\) | 0.161239 | − | 1.12144i | 0.00598002 | − | 0.0415920i | −0.986613 | − | 0.163079i | \(-0.947857\pi\) |
0.992593 | + | 0.121487i | \(0.0387664\pi\) | |||||||
\(728\) | −15.7991 | − | 47.4665i | −0.585553 | − | 1.75923i | ||||
\(729\) | 0.415415 | − | 0.909632i | 0.0153857 | − | 0.0336901i | ||||
\(730\) | −3.89107 | + | 16.9156i | −0.144015 | + | 0.626075i | ||||
\(731\) | 1.59659 | + | 11.1046i | 0.0590522 | + | 0.410717i | ||||
\(732\) | −1.14167 | + | 3.57155i | −0.0421972 | + | 0.132008i | ||||
\(733\) | −7.32259 | − | 8.45072i | −0.270466 | − | 0.312134i | 0.604227 | − | 0.796813i | \(-0.293482\pi\) |
−0.874693 | + | 0.484678i | \(0.838937\pi\) | |||||||
\(734\) | 11.8249 | + | 16.1943i | 0.436467 | + | 0.597742i | ||||
\(735\) | 24.5375 | 0.905078 | ||||||||
\(736\) | 0.276470 | + | 27.1279i | 0.0101908 | + | 0.999948i | ||||
\(737\) | −61.2119 | −2.25477 | ||||||||
\(738\) | −4.33889 | − | 5.94212i | −0.159717 | − | 0.218733i | ||||
\(739\) | −27.3240 | − | 31.5335i | −1.00513 | − | 1.15998i | −0.987094 | − | 0.160142i | \(-0.948805\pi\) |
−0.0180338 | − | 0.999837i | \(-0.505741\pi\) | |||||||
\(740\) | 8.29230 | − | 25.9414i | 0.304831 | − | 0.953624i | ||||
\(741\) | −2.89256 | − | 20.1182i | −0.106261 | − | 0.739061i | ||||
\(742\) | −3.55155 | + | 15.4396i | −0.130382 | + | 0.566807i | ||||
\(743\) | 7.67996 | − | 16.8168i | 0.281750 | − | 0.616947i | −0.714855 | − | 0.699272i | \(-0.753507\pi\) |
0.996605 | + | 0.0823255i | \(0.0262347\pi\) | |||||||
\(744\) | 3.00768 | + | 9.03624i | 0.110267 | + | 0.331285i | ||||
\(745\) | −0.101353 | + | 0.704928i | −0.00371330 | + | 0.0258266i | ||||
\(746\) | 6.33408 | − | 6.18515i | 0.231907 | − | 0.226454i | ||||
\(747\) | 0.502307 | − | 1.71070i | 0.0183785 | − | 0.0625913i | ||||
\(748\) | 49.8142 | − | 21.3322i | 1.82139 | − | 0.779983i | ||||
\(749\) | −47.3348 | + | 21.6171i | −1.72958 | + | 0.789871i | ||||
\(750\) | 3.16165 | − | 0.648485i | 0.115447 | − | 0.0236793i | ||||
\(751\) | −27.5710 | + | 31.8186i | −1.00608 | + | 1.16108i | −0.0191667 | + | 0.999816i | \(0.506101\pi\) |
−0.986912 | + | 0.161260i | \(0.948444\pi\) | |||||||
\(752\) | −21.1167 | + | 29.6554i | −0.770048 | + | 1.08142i | ||||
\(753\) | 9.61786 | − | 14.9657i | 0.350494 | − | 0.545380i | ||||
\(754\) | −43.0432 | + | 22.8429i | −1.56754 | + | 0.831891i | ||||
\(755\) | 17.8975 | + | 27.8490i | 0.651356 | + | 1.01353i | ||||
\(756\) | −7.51089 | − | 1.26295i | −0.273168 | − | 0.0459330i | ||||
\(757\) | 21.4525 | − | 6.29903i | 0.779706 | − | 0.228942i | 0.132424 | − | 0.991193i | \(-0.457724\pi\) |
0.647282 | + | 0.762251i | \(0.275906\pi\) | |||||||
\(758\) | 26.3736 | − | 9.48104i | 0.957933 | − | 0.344367i | ||||
\(759\) | −24.9604 | + | 11.3469i | −0.906006 | + | 0.411865i | ||||
\(760\) | −20.6572 | + | 34.8169i | −0.749316 | + | 1.26294i | ||||
\(761\) | 4.48227 | − | 1.31611i | 0.162482 | − | 0.0477091i | −0.199480 | − | 0.979902i | \(-0.563925\pi\) |
0.361962 | + | 0.932193i | \(0.382107\pi\) | |||||||
\(762\) | 4.14534 | + | 2.32796i | 0.150170 | + | 0.0843332i | ||||
\(763\) | −5.56145 | + | 3.57413i | −0.201338 | + | 0.129392i | ||||
\(764\) | −14.0515 | − | 12.7735i | −0.508367 | − | 0.462128i | ||||
\(765\) | −8.38035 | + | 13.0401i | −0.302992 | + | 0.471465i | ||||
\(766\) | 21.9932 | + | 1.83618i | 0.794645 | + | 0.0663437i | ||||
\(767\) | −47.6372 | − | 41.2778i | −1.72008 | − | 1.49046i | ||||
\(768\) | 7.99951 | − | 13.8567i | 0.288657 | − | 0.500010i | ||||
\(769\) | 2.40981 | − | 1.10052i | 0.0868998 | − | 0.0396858i | −0.371491 | − | 0.928437i | \(-0.621153\pi\) |
0.458391 | + | 0.888751i | \(0.348426\pi\) | |||||||
\(770\) | −100.528 | + | 5.98892i | −3.62278 | + | 0.215826i | ||||
\(771\) | −4.95433 | − | 1.45472i | −0.178426 | − | 0.0523905i | ||||
\(772\) | 10.7182 | + | 5.20646i | 0.385756 | + | 0.187384i | ||||
\(773\) | 3.64380 | − | 25.3432i | 0.131058 | − | 0.911531i | −0.813120 | − | 0.582096i | \(-0.802233\pi\) |
0.944178 | − | 0.329435i | \(-0.106858\pi\) | |||||||
\(774\) | −1.20715 | + | 3.12253i | −0.0433900 | + | 0.112237i | ||||
\(775\) | −17.4513 | − | 7.96973i | −0.626869 | − | 0.286281i | ||||
\(776\) | −25.9156 | + | 12.9728i | −0.930315 | + | 0.465698i | ||||
\(777\) | −2.25636 | − | 15.6933i | −0.0809465 | − | 0.562995i | ||||
\(778\) | −15.2042 | − | 11.6665i | −0.545097 | − | 0.418263i | ||||
\(779\) | −17.2064 | + | 14.9095i | −0.616485 | + | 0.534187i | ||||
\(780\) | −25.1611 | − | 17.0292i | −0.900912 | − | 0.609743i | ||||
\(781\) | −19.0070 | −0.680126 | ||||||||
\(782\) | 32.0893 | − | 1.85597i | 1.14751 | − | 0.0663692i | ||||
\(783\) | 7.41874i | 0.265124i | ||||||||
\(784\) | 2.85301 | + | 29.8725i | 0.101893 | + | 1.06688i | ||||
\(785\) | 7.27495 | + | 8.39574i | 0.259654 | + | 0.299657i | ||||
\(786\) | −2.37962 | − | 1.82593i | −0.0848781 | − | 0.0651287i | ||||
\(787\) | 11.0731 | − | 1.59207i | 0.394713 | − | 0.0567511i | 0.0578990 | − | 0.998322i | \(-0.481560\pi\) |
0.336814 | + | 0.941571i | \(0.390651\pi\) | |||||||
\(788\) | 3.08604 | + | 25.8087i | 0.109935 | + | 0.919395i | ||||
\(789\) | −1.47972 | + | 3.24014i | −0.0526796 | + | 0.115352i | ||||
\(790\) | −15.3587 | − | 5.93757i | −0.546440 | − | 0.211249i | ||||
\(791\) | −33.8592 | − | 4.86822i | −1.20390 | − | 0.173094i | ||||
\(792\) | 16.0779 | + | 1.72834i | 0.571304 | + | 0.0614138i | ||||
\(793\) | −2.45320 | + | 8.35482i | −0.0871155 | + | 0.296688i | ||||
\(794\) | −0.175436 | + | 0.0104516i | −0.00622601 | + | 0.000370912i | ||||
\(795\) | 3.99697 | + | 8.75215i | 0.141758 | + | 0.310407i | ||||
\(796\) | −17.9814 | − | 29.4998i | −0.637335 | − | 1.04559i | ||||
\(797\) | 24.7301 | − | 28.5400i | 0.875983 | − | 1.01094i | −0.123843 | − | 0.992302i | \(-0.539522\pi\) |
0.999826 | − | 0.0186369i | \(-0.00593267\pi\) | |||||||
\(798\) | −1.96083 | + | 23.4862i | −0.0694125 | + | 0.831402i | ||||
\(799\) | 36.2861 | + | 23.3197i | 1.28371 | + | 0.824991i | ||||
\(800\) | 9.44867 | + | 30.8153i | 0.334061 | + | 1.08949i | ||||
\(801\) | 0.735924 | + | 1.14512i | 0.0260026 | + | 0.0404609i | ||||
\(802\) | −46.5978 | − | 26.1686i | −1.64543 | − | 0.924047i | ||||
\(803\) | −6.04421 | − | 20.5847i | −0.213296 | − | 0.726418i | ||||
\(804\) | 13.6339 | + | 16.5122i | 0.480829 | + | 0.582340i | ||||
\(805\) | −57.2857 | − | 16.9284i | −2.01905 | − | 0.596647i | ||||
\(806\) | 7.48187 | + | 20.8125i | 0.263538 | + | 0.733088i | ||||
\(807\) | 8.29616 | + | 28.2541i | 0.292039 | + | 0.994593i | ||||
\(808\) | −45.1983 | + | 8.15530i | −1.59007 | + | 0.286902i | ||||
\(809\) | 8.27950 | − | 5.32091i | 0.291092 | − | 0.187073i | −0.386942 | − | 0.922104i | \(-0.626469\pi\) |
0.678034 | + | 0.735031i | \(0.262832\pi\) | |||||||
\(810\) | −4.08581 | + | 2.16833i | −0.143561 | + | 0.0761874i | ||||
\(811\) | −15.9641 | − | 10.2595i | −0.560577 | − | 0.360261i | 0.229462 | − | 0.973318i | \(-0.426303\pi\) |
−0.790039 | + | 0.613057i | \(0.789940\pi\) | |||||||
\(812\) | 54.5781 | − | 14.6247i | 1.91532 | − | 0.513226i | ||||
\(813\) | 0.159735 | + | 0.138411i | 0.00560216 | + | 0.00485430i | ||||
\(814\) | 6.76356 | + | 32.9753i | 0.237063 | + | 1.15578i | ||||
\(815\) | −24.1916 | − | 52.9722i | −0.847395 | − | 1.85554i | ||||
\(816\) | −16.8497 | − | 8.68625i | −0.589858 | − | 0.304079i | ||||
\(817\) | 9.93961 | + | 2.91853i | 0.347743 | + | 0.102107i | ||||
\(818\) | −39.8112 | + | 38.8751i | −1.39197 | + | 1.35924i | ||||
\(819\) | −17.5071 | − | 2.51714i | −0.611748 | − | 0.0879561i | ||||
\(820\) | −0.809603 | + | 34.0233i | −0.0282726 | + | 1.18815i | ||||
\(821\) | −16.0499 | − | 7.32975i | −0.560146 | − | 0.255810i | 0.115161 | − | 0.993347i | \(-0.463262\pi\) |
−0.675307 | + | 0.737537i | \(0.735989\pi\) | |||||||
\(822\) | 14.2818 | + | 3.28521i | 0.498135 | + | 0.114585i | ||||
\(823\) | 12.0082 | − | 1.72652i | 0.418579 | − | 0.0601825i | 0.0701922 | − | 0.997533i | \(-0.477639\pi\) |
0.348387 | + | 0.937351i | \(0.386730\pi\) | |||||||
\(824\) | −15.0117 | + | 0.536345i | −0.522957 | + | 0.0186845i | ||||
\(825\) | −24.6185 | + | 21.3320i | −0.857105 | + | 0.742686i | ||||
\(826\) | 43.1019 | + | 59.0282i | 1.49971 | + | 2.05385i | ||||
\(827\) | − | 21.0082i | − | 0.730527i | −0.930904 | − | 0.365263i | \(-0.880979\pi\) | ||
0.930904 | − | 0.365263i | \(-0.119021\pi\) | |||||||
\(828\) | 8.62036 | + | 4.20588i | 0.299578 | + | 0.146164i | ||||
\(829\) | − | 6.36608i | − | 0.221103i | −0.993870 | − | 0.110552i | \(-0.964738\pi\) | ||
0.993870 | − | 0.110552i | \(-0.0352617\pi\) | |||||||
\(830\) | −6.66035 | + | 4.86334i | −0.231184 | + | 0.168809i | ||||
\(831\) | 0.123268 | − | 0.106812i | 0.00427612 | − | 0.00370528i | ||||
\(832\) | 17.8062 | − | 32.6118i | 0.617320 | − | 1.13061i | ||||
\(833\) | 35.1923 | − | 5.05988i | 1.21934 | − | 0.175315i | ||||
\(834\) | −4.90051 | + | 21.3039i | −0.169691 | + | 0.737695i | ||||
\(835\) | 67.7913 | + | 30.9592i | 2.34601 | + | 1.07139i | ||||
\(836\) | 1.19034 | − | 50.0238i | 0.0411689 | − | 1.73011i | ||||
\(837\) | 3.33284 | + | 0.479191i | 0.115200 | + | 0.0165633i | ||||
\(838\) | 23.0765 | + | 23.6322i | 0.797165 | + | 0.816360i | ||||
\(839\) | 8.39446 | + | 2.46484i | 0.289809 | + | 0.0850956i | 0.423406 | − | 0.905940i | \(-0.360834\pi\) |
−0.133597 | + | 0.991036i | \(0.542653\pi\) | |||||||
\(840\) | 24.0064 | + | 25.7840i | 0.828299 | + | 0.889632i | ||||
\(841\) | −10.8165 | − | 23.6848i | −0.372982 | − | 0.816716i | ||||
\(842\) | −8.72484 | + | 1.78955i | −0.300678 | + | 0.0616719i | ||||
\(843\) | 2.80595 | + | 2.43137i | 0.0966419 | + | 0.0837407i | ||||
\(844\) | 3.52171 | + | 13.1427i | 0.121222 | + | 0.452392i | ||||
\(845\) | −23.5853 | − | 15.1573i | −0.811358 | − | 0.521428i | ||||
\(846\) | 6.03374 | + | 11.3694i | 0.207444 | + | 0.390889i | ||||
\(847\) | 69.4733 | − | 44.6478i | 2.38713 | − | 1.53412i | ||||
\(848\) | −10.1903 | + | 5.88364i | −0.349938 | + | 0.202045i | ||||
\(849\) | −4.53654 | − | 15.4500i | −0.155694 | − | 0.530244i | ||||
\(850\) | 35.9363 | − | 12.9187i | 1.23261 | − | 0.443109i | ||||
\(851\) | −2.87577 | + | 19.7585i | −0.0985802 | + | 0.677314i | ||||
\(852\) | 4.23348 | + | 5.12724i | 0.145037 | + | 0.175656i | ||||
\(853\) | −0.755765 | − | 2.57390i | −0.0258769 | − | 0.0881286i | 0.945542 | − | 0.325500i | \(-0.105532\pi\) |
−0.971419 | + | 0.237371i | \(0.923714\pi\) | |||||||
\(854\) | 4.94395 | − | 8.80356i | 0.169178 | − | 0.301251i | ||||
\(855\) | 7.73829 | + | 12.0410i | 0.264644 | + | 0.411794i | ||||
\(856\) | −35.7077 | − | 14.7901i | −1.22046 | − | 0.505514i | ||||
\(857\) | 17.4314 | + | 11.2025i | 0.595445 | + | 0.382669i | 0.803374 | − | 0.595475i | \(-0.203036\pi\) |
−0.207929 | + | 0.978144i | \(0.566672\pi\) | |||||||
\(858\) | 37.4221 | + | 3.12432i | 1.27757 | + | 0.106663i | ||||
\(859\) | −30.1223 | + | 34.7629i | −1.02776 | + | 1.18610i | −0.0454230 | + | 0.998968i | \(0.514464\pi\) |
−0.982335 | + | 0.187129i | \(0.940082\pi\) | |||||||
\(860\) | 13.2224 | − | 8.05961i | 0.450879 | − | 0.274830i | ||||
\(861\) | 8.23040 | + | 18.0221i | 0.280491 | + | 0.614190i | ||||
\(862\) | −0.977130 | − | 16.4018i | −0.0332812 | − | 0.558647i | ||||
\(863\) | −0.650364 | + | 2.21494i | −0.0221387 | + | 0.0753973i | −0.969821 | − | 0.243816i | \(-0.921601\pi\) |
0.947683 | + | 0.319214i | \(0.103419\pi\) | |||||||
\(864\) | −3.11484 | − | 4.72205i | −0.105969 | − | 0.160647i | ||||
\(865\) | −56.6284 | − | 8.14193i | −1.92542 | − | 0.276834i | ||||
\(866\) | −7.33928 | + | 18.9845i | −0.249399 | + | 0.645121i | ||||
\(867\) | −2.26826 | + | 4.96679i | −0.0770340 | + | 0.168681i | ||||
\(868\) | −3.04478 | − | 25.4637i | −0.103347 | − | 0.864293i | ||||
\(869\) | 20.1454 | − | 2.89648i | 0.683387 | − | 0.0982563i | ||||
\(870\) | 20.8899 | − | 27.2245i | 0.708234 | − | 0.922997i | ||||
\(871\) | 32.5647 | + | 37.5817i | 1.10341 | + | 1.27341i | ||||
\(872\) | −4.75760 | − | 1.21424i | −0.161113 | − | 0.0411193i | ||||
\(873\) | 10.2464i | 0.346789i | ||||||||
\(874\) | 10.7502 | − | 27.6651i | 0.363631 | − | 0.935785i | ||||
\(875\) | −8.69086 | −0.293805 | ||||||||
\(876\) | −4.20658 | + | 6.21533i | −0.142127 | + | 0.209996i | ||||
\(877\) | −28.6102 | + | 24.7909i | −0.966097 | + | 0.837128i | −0.986682 | − | 0.162660i | \(-0.947993\pi\) |
0.0205849 | + | 0.999788i | \(0.493447\pi\) | |||||||
\(878\) | −25.6263 | + | 33.3971i | −0.864844 | + | 1.12710i | ||||
\(879\) | −0.541507 | − | 3.76626i | −0.0182646 | − | 0.127033i | ||||
\(880\) | −54.1343 | − | 51.6151i | −1.82487 | − | 1.73994i | ||||
\(881\) | −6.53634 | − | 2.98505i | −0.220215 | − | 0.100569i | 0.302253 | − | 0.953228i | \(-0.402261\pi\) |
−0.522468 | + | 0.852659i | \(0.674989\pi\) | |||||||
\(882\) | 9.89584 | + | 3.82565i | 0.333210 | + | 0.128816i | ||||
\(883\) | 4.82454 | − | 33.5554i | 0.162359 | − | 1.12923i | −0.731813 | − | 0.681505i | \(-0.761326\pi\) |
0.894172 | − | 0.447724i | \(-0.147765\pi\) | |||||||
\(884\) | −39.5983 | − | 19.2352i | −1.33184 | − | 0.646951i | ||||
\(885\) | 42.5906 | + | 12.5057i | 1.43167 | + | 0.420375i | ||||
\(886\) | −1.37249 | − | 23.0382i | −0.0461098 | − | 0.773983i | ||||
\(887\) | −29.6273 | + | 13.5303i | −0.994788 | + | 0.454304i | −0.845203 | − | 0.534445i | \(-0.820521\pi\) |
−0.149584 | + | 0.988749i | \(0.547793\pi\) | |||||||
\(888\) | 7.38878 | − | 9.16917i | 0.247951 | − | 0.307697i | ||||
\(889\) | −9.67529 | − | 8.38369i | −0.324499 | − | 0.281180i | ||||
\(890\) | 0.523847 | − | 6.27447i | 0.0175594 | − | 0.210321i | ||||
\(891\) | 3.09093 | − | 4.80957i | 0.103550 | − | 0.161127i | ||||
\(892\) | 9.18107 | − | 10.0997i | 0.307405 | − | 0.338163i | ||||
\(893\) | 33.5061 | − | 21.5331i | 1.12124 | − | 0.720576i | ||||
\(894\) | −0.150781 | + | 0.268492i | −0.00504288 | + | 0.00897972i | ||||
\(895\) | −42.1478 | + | 12.3757i | −1.40884 | + | 0.413674i | ||||
\(896\) | −28.5988 | + | 32.2239i | −0.955418 | + | 1.07652i | ||||
\(897\) | 20.2455 | + | 9.28819i | 0.675976 | + | 0.310124i | ||||
\(898\) | 15.6322 | + | 43.4846i | 0.521655 | + | 1.45110i | ||||
\(899\) | −23.9679 | + | 7.03762i | −0.799375 | + | 0.234718i | ||||
\(900\) | 11.2377 | + | 1.88962i | 0.374591 | + | 0.0629872i | ||||
\(901\) | 7.53735 | + | 11.7283i | 0.251106 | + | 0.390728i | ||||
\(902\) | −19.7189 | − | 37.1565i | −0.656567 | − | 1.23718i | ||||
\(903\) | 4.87374 | − | 7.58368i | 0.162188 | − | 0.252369i | ||||
\(904\) | −14.4903 | − | 20.8695i | −0.481941 | − | 0.694108i | ||||
\(905\) | 34.3277 | − | 39.6163i | 1.14109 | − | 1.31689i | ||||
\(906\) | 2.87601 | + | 14.0218i | 0.0955489 | + | 0.465843i | ||||
\(907\) | 9.31213 | − | 4.25271i | 0.309204 | − | 0.141209i | −0.254769 | − | 0.967002i | \(-0.581999\pi\) |
0.563973 | + | 0.825793i | \(0.309272\pi\) | |||||||
\(908\) | 8.97575 | + | 20.9599i | 0.297871 | + | 0.695577i | ||||
\(909\) | −4.57479 | + | 15.5803i | −0.151736 | + | 0.516766i | ||||
\(910\) | 57.1579 | + | 58.5342i | 1.89476 | + | 1.94039i | ||||
\(911\) | −0.659555 | + | 4.58731i | −0.0218520 | + | 0.151984i | −0.997826 | − | 0.0659026i | \(-0.979007\pi\) |
0.975974 | + | 0.217887i | \(0.0699164\pi\) | |||||||
\(912\) | −13.7593 | + | 10.8208i | −0.455615 | + | 0.358313i | ||||
\(913\) | 4.23442 | − | 9.27210i | 0.140139 | − | 0.306862i | ||||
\(914\) | 46.2255 | + | 10.6332i | 1.52900 | + | 0.351714i | ||||
\(915\) | −0.872668 | − | 6.06954i | −0.0288495 | − | 0.200653i | ||||
\(916\) | −4.09326 | + | 12.8052i | −0.135245 | + | 0.423096i | ||||
\(917\) | 5.28918 | + | 6.10404i | 0.174664 | + | 0.201573i | ||||
\(918\) | −5.41284 | + | 3.95241i | −0.178650 | + | 0.130449i | ||||
\(919\) | −22.8776 | −0.754664 | −0.377332 | − | 0.926078i | \(-0.623158\pi\) | ||||
−0.377332 | + | 0.926078i | \(0.623158\pi\) | |||||||
\(920\) | −19.7910 | − | 39.7077i | −0.652491 | − | 1.30912i | ||||
\(921\) | −11.3561 | −0.374196 | ||||||||
\(922\) | 8.94622 | − | 6.53245i | 0.294628 | − | 0.215135i | ||||
\(923\) | 10.1117 | + | 11.6696i | 0.332832 | + | 0.384109i | ||||
\(924\) | −41.4762 | − | 13.2581i | −1.36447 | − | 0.436159i | ||||
\(925\) | 3.37595 | + | 23.4803i | 0.111001 | + | 0.772027i | ||||
\(926\) | −5.56331 | − | 1.27972i | −0.182822 | − | 0.0420542i | ||||
\(927\) | −2.20620 | + | 4.83090i | −0.0724610 | + | 0.158667i | ||||
\(928\) | 35.5727 | + | 22.2664i | 1.16773 | + | 0.730931i | ||||
\(929\) | −2.62093 | + | 18.2290i | −0.0859899 | + | 0.598073i | 0.900575 | + | 0.434701i | \(0.143146\pi\) |
−0.986565 | + | 0.163371i | \(0.947763\pi\) | |||||||
\(930\) | −10.8812 | − | 11.1432i | −0.356808 | − | 0.365400i | ||||
\(931\) | 9.24933 | − | 31.5003i | 0.303135 | − | 1.03238i | ||||
\(932\) | −42.7477 | + | 18.3061i | −1.40025 | + | 0.599636i | ||||
\(933\) | −5.83658 | + | 2.66548i | −0.191081 | + | 0.0872638i | ||||
\(934\) | −11.9413 | − | 58.2191i | −0.390731 | − | 1.90499i | ||||
\(935\) | −58.0339 | + | 66.9747i | −1.89791 | + | 2.19031i | ||||
\(936\) | −7.49232 | − | 10.7907i | −0.244894 | − | 0.352705i | ||||
\(937\) | 15.9582 | − | 24.8314i | 0.521331 | − | 0.811206i | −0.476351 | − | 0.879255i | \(-0.658041\pi\) |
0.997682 | + | 0.0680486i | \(0.0216773\pi\) | |||||||
\(938\) | −27.0303 | − | 50.9335i | −0.882571 | − | 1.66304i | ||||
\(939\) | 2.96492 | + | 4.61351i | 0.0967566 | + | 0.150556i | ||||
\(940\) | 9.87241 | − | 58.7122i | 0.322003 | − | 1.91498i | ||||
\(941\) | −56.4382 | + | 16.5718i | −1.83983 | + | 0.540224i | −0.999997 | − | 0.00261567i | \(-0.999167\pi\) |
−0.839837 | + | 0.542839i | \(0.817349\pi\) | |||||||
\(942\) | 1.62497 | + | 4.52021i | 0.0529443 | + | 0.147276i | ||||
\(943\) | −3.50813 | − | 24.7031i | −0.114240 | − | 0.804444i | ||||
\(944\) | −10.2727 | + | 53.3049i | −0.334348 | + | 1.73493i | ||||
\(945\) | 11.9510 | − | 3.50913i | 0.388766 | − | 0.114152i | ||||
\(946\) | −9.37179 | + | 16.6881i | −0.304703 | + | 0.542577i | ||||
\(947\) | −27.3487 | + | 17.5759i | −0.888714 | + | 0.571142i | −0.903423 | − | 0.428750i | \(-0.858954\pi\) |
0.0147094 | + | 0.999892i | \(0.495318\pi\) | |||||||
\(948\) | −5.26838 | − | 4.78919i | −0.171109 | − | 0.155546i | ||||
\(949\) | −9.42267 | + | 14.6620i | −0.305873 | + | 0.475947i | ||||
\(950\) | 2.93378 | − | 35.1399i | 0.0951843 | − | 1.14009i | ||||
\(951\) | 22.5681 | + | 19.5553i | 0.731820 | + | 0.634125i | ||||
\(952\) | 39.7475 | + | 32.0297i | 1.28822 | + | 1.03809i | ||||
\(953\) | −24.3916 | + | 11.1393i | −0.790120 | + | 0.360836i | −0.769251 | − | 0.638946i | \(-0.779371\pi\) |
−0.0208688 | + | 0.999782i | \(0.506643\pi\) | |||||||
\(954\) | 0.247406 | + | 4.15287i | 0.00801006 | + | 0.134454i | ||||
\(955\) | 29.7972 | + | 8.74924i | 0.964214 | + | 0.283119i | ||||
\(956\) | −6.85119 | + | 14.1041i | −0.221583 | + | 0.456159i | ||||
\(957\) | −6.03615 | + | 41.9824i | −0.195121 | + | 1.35710i | ||||
\(958\) | 18.8316 | + | 7.28015i | 0.608421 | + | 0.235211i | ||||
\(959\) | −35.8960 | − | 16.3931i | −1.15914 | − | 0.529362i | ||||
\(960\) | −1.86596 | + | 26.0993i | −0.0602236 | + | 0.842352i | ||||
\(961\) | −2.79827 | − | 19.4624i | −0.0902667 | − | 0.627819i | ||||
\(962\) | 16.6473 | − | 21.6954i | 0.536732 | − | 0.699489i | ||||
\(963\) | −10.3271 | + | 8.94846i | −0.332785 | + | 0.288360i | ||||
\(964\) | 33.3590 | + | 22.5776i | 1.07442 | + | 0.727174i | ||||
\(965\) | −19.4868 | −0.627302 | ||||||||
\(966\) | −20.4637 | − | 15.7586i | −0.658410 | − | 0.507024i | ||||
\(967\) | − | 26.4705i | − | 0.851233i | −0.904904 | − | 0.425616i | \(-0.860057\pi\) | ||
0.904904 | − | 0.425616i | \(-0.139943\pi\) | |||||||
\(968\) | 59.4317 | + | 15.1682i | 1.91021 | + | 0.487524i | ||||
\(969\) | 13.5814 | + | 15.6738i | 0.436299 | + | 0.503516i | ||||
\(970\) | 28.8521 | − | 37.6012i | 0.926386 | − | 1.20730i | ||||
\(971\) | −23.1174 | + | 3.32379i | −0.741874 | + | 0.106665i | −0.502881 | − | 0.864356i | \(-0.667727\pi\) |
−0.238993 | + | 0.971021i | \(0.576817\pi\) | |||||||
\(972\) | −1.98585 | + | 0.237456i | −0.0636963 | + | 0.00761640i | ||||
\(973\) | 24.4534 | − | 53.5455i | 0.783940 | − | 1.71659i | ||||
\(974\) | 6.00504 | − | 15.5333i | 0.192414 | − | 0.497718i | ||||
\(975\) | 26.1941 | + | 3.76614i | 0.838881 | + | 0.120613i | ||||
\(976\) | 7.28774 | − | 1.76812i | 0.233275 | − | 0.0565963i | ||||
\(977\) | 7.48915 | − | 25.5057i | 0.239599 | − | 0.816000i | −0.748626 | − | 0.662993i | \(-0.769286\pi\) |
0.988225 | − | 0.153007i | \(-0.0488958\pi\) | |||||||
\(978\) | −1.49742 | − | 25.1352i | −0.0478822 | − | 0.803734i | ||||
\(979\) | 3.23286 | + | 7.07897i | 0.103322 | + | 0.226245i | ||||
\(980\) | −25.5423 | − | 41.9039i | −0.815919 | − | 1.33857i | ||||
\(981\) | −1.13683 | + | 1.31197i | −0.0362961 | + | 0.0418880i | ||||
\(982\) | 48.0870 | + | 4.01472i | 1.53452 | + | 0.128115i | ||||
\(983\) | 16.2500 | + | 10.4433i | 0.518296 | + | 0.333089i | 0.773498 | − | 0.633799i | \(-0.218505\pi\) |
−0.255202 | + | 0.966888i | \(0.582142\pi\) | |||||||
\(984\) | −5.63111 | + | 13.5952i | −0.179513 | + | 0.433399i | ||||
\(985\) | −22.9812 | − | 35.7595i | −0.732243 | − | 1.13939i | ||||
\(986\) | 24.3468 | − | 43.3538i | 0.775362 | − | 1.38067i | ||||
\(987\) | −9.76471 | − | 33.2556i | −0.310814 | − | 1.05854i | ||||
\(988\) | −31.3459 | + | 25.8818i | −0.997246 | + | 0.823411i | ||||
\(989\) | −8.59270 | + | 7.41961i | −0.273232 | + | 0.235930i | ||||
\(990\) | −24.8857 | + | 8.94614i | −0.790918 | + | 0.284327i | ||||
\(991\) | 4.90408 | + | 16.7018i | 0.155783 | + | 0.530549i | 0.999985 | − | 0.00547664i | \(-0.00174328\pi\) |
−0.844202 | + | 0.536025i | \(0.819925\pi\) | |||||||
\(992\) | 12.3008 | − | 14.5427i | 0.390551 | − | 0.461730i | ||||
\(993\) | 18.5457 | − | 11.9186i | 0.588530 | − | 0.378225i | ||||
\(994\) | −8.39324 | − | 15.8155i | −0.266218 | − | 0.501637i | ||||
\(995\) | 47.5299 | + | 30.5456i | 1.50680 | + | 0.968361i | ||||
\(996\) | −3.44433 | + | 0.922939i | −0.109138 | + | 0.0292445i | ||||
\(997\) | −33.6607 | − | 29.1672i | −1.06605 | − | 0.923733i | −0.0687793 | − | 0.997632i | \(-0.521910\pi\) |
−0.997266 | + | 0.0738986i | \(0.976456\pi\) | |||||||
\(998\) | −40.1963 | + | 8.24466i | −1.27239 | + | 0.260980i | ||||
\(999\) | −1.72952 | − | 3.78712i | −0.0547195 | − | 0.119819i |
(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 | 552.2.t.b.451.18 | yes | 240 | |
8.3 | odd | 2 | inner | 552.2.t.b.451.13 | yes | 240 | |
23.5 | odd | 22 | inner | 552.2.t.b.235.13 | ✓ | 240 | |
184.51 | even | 22 | inner | 552.2.t.b.235.18 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.t.b.235.13 | ✓ | 240 | 23.5 | odd | 22 | inner | |
552.2.t.b.235.18 | yes | 240 | 184.51 | even | 22 | inner | |
552.2.t.b.451.13 | yes | 240 | 8.3 | odd | 2 | inner | |
552.2.t.b.451.18 | yes | 240 | 1.1 | even | 1 | trivial |