Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(11,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 15, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.bf (of order \(24\), degree \(8\), 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: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Character | \(\chi\) | \(=\) | 288.11 |
Dual form | 288.2.bf.a.131.3 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40115 | + | 0.191775i | −0.990763 | + | 0.135605i | ||||
\(3\) | −1.72586 | + | 0.146277i | −0.996427 | + | 0.0844533i | ||||
\(4\) | 1.92644 | − | 0.537410i | 0.963222 | − | 0.268705i | ||||
\(5\) | 0.234629 | + | 1.78218i | 0.104929 | + | 0.797017i | 0.960294 | + | 0.278991i | \(0.0899998\pi\) |
−0.855365 | + | 0.518027i | \(0.826667\pi\) | |||||||
\(6\) | 2.39014 | − | 0.535934i | 0.975771 | − | 0.218794i | ||||
\(7\) | −0.927052 | − | 3.45980i | −0.350393 | − | 1.30768i | −0.886184 | − | 0.463333i | \(-0.846653\pi\) |
0.535792 | − | 0.844350i | \(-0.320013\pi\) | |||||||
\(8\) | −2.59618 | + | 1.12244i | −0.917887 | + | 0.396841i | ||||
\(9\) | 2.95721 | − | 0.504910i | 0.985735 | − | 0.168303i | ||||
\(10\) | −0.670528 | − | 2.45211i | −0.212040 | − | 0.775426i | ||||
\(11\) | 0.296127 | − | 0.227226i | 0.0892857 | − | 0.0685113i | −0.563154 | − | 0.826352i | \(-0.690412\pi\) |
0.652440 | + | 0.757841i | \(0.273746\pi\) | |||||||
\(12\) | −3.24617 | + | 1.20929i | −0.937088 | + | 0.349093i | ||||
\(13\) | −1.82398 | + | 2.37705i | −0.505880 | + | 0.659276i | −0.974569 | − | 0.224088i | \(-0.928060\pi\) |
0.468689 | + | 0.883363i | \(0.344726\pi\) | |||||||
\(14\) | 1.96244 | + | 4.66992i | 0.524485 | + | 1.24809i | ||||
\(15\) | −0.665631 | − | 3.04149i | −0.171865 | − | 0.785308i | ||||
\(16\) | 3.42238 | − | 2.07058i | 0.855595 | − | 0.517646i | ||||
\(17\) | 1.74490 | 0.423201 | 0.211601 | − | 0.977356i | \(-0.432132\pi\) | ||||
0.211601 | + | 0.977356i | \(0.432132\pi\) | |||||||
\(18\) | −4.04666 | + | 1.27457i | −0.953807 | + | 0.300419i | ||||
\(19\) | 5.20446 | − | 2.15576i | 1.19398 | − | 0.494565i | 0.304934 | − | 0.952374i | \(-0.401366\pi\) |
0.889051 | + | 0.457809i | \(0.151366\pi\) | |||||||
\(20\) | 1.40976 | + | 3.30719i | 0.315233 | + | 0.739510i | ||||
\(21\) | 2.10606 | + | 5.83554i | 0.459579 | + | 1.27342i | ||||
\(22\) | −0.371343 | + | 0.375168i | −0.0791705 | + | 0.0799861i | ||||
\(23\) | 6.63081 | + | 1.77672i | 1.38262 | + | 0.370472i | 0.872072 | − | 0.489378i | \(-0.162776\pi\) |
0.510547 | + | 0.859850i | \(0.329443\pi\) | |||||||
\(24\) | 4.31646 | − | 2.31693i | 0.881094 | − | 0.472942i | ||||
\(25\) | 1.70850 | − | 0.457791i | 0.341700 | − | 0.0915581i | ||||
\(26\) | 2.09981 | − | 3.68040i | 0.411806 | − | 0.721786i | ||||
\(27\) | −5.02987 | + | 1.30398i | −0.968000 | + | 0.250951i | ||||
\(28\) | −3.64525 | − | 6.16692i | −0.688887 | − | 1.16544i | ||||
\(29\) | 5.67339 | + | 0.746916i | 1.05352 | + | 0.138699i | 0.637340 | − | 0.770583i | \(-0.280035\pi\) |
0.416182 | + | 0.909281i | \(0.363368\pi\) | |||||||
\(30\) | 1.51593 | + | 4.13393i | 0.276770 | + | 0.754748i | ||||
\(31\) | 2.71370 | − | 1.56676i | 0.487395 | − | 0.281398i | −0.236098 | − | 0.971729i | \(-0.575869\pi\) |
0.723493 | + | 0.690331i | \(0.242535\pi\) | |||||||
\(32\) | −4.39818 | + | 3.55752i | −0.777496 | + | 0.628887i | ||||
\(33\) | −0.477837 | + | 0.435478i | −0.0831807 | + | 0.0758071i | ||||
\(34\) | −2.44487 | + | 0.334628i | −0.419292 | + | 0.0573882i | ||||
\(35\) | 5.94850 | − | 2.46395i | 1.00548 | − | 0.416483i | ||||
\(36\) | 5.42555 | − | 2.56191i | 0.904258 | − | 0.426986i | ||||
\(37\) | 0.845101 | − | 2.04026i | 0.138934 | − | 0.335416i | −0.839063 | − | 0.544034i | \(-0.816896\pi\) |
0.977997 | + | 0.208618i | \(0.0668964\pi\) | |||||||
\(38\) | −6.87881 | + | 4.01862i | −1.11589 | + | 0.651907i | ||||
\(39\) | 2.80022 | − | 4.36927i | 0.448395 | − | 0.699643i | ||||
\(40\) | −2.60953 | − | 4.36351i | −0.412602 | − | 0.689932i | ||||
\(41\) | 0.247421 | − | 0.923388i | 0.0386407 | − | 0.144209i | −0.943910 | − | 0.330201i | \(-0.892883\pi\) |
0.982551 | + | 0.185992i | \(0.0595500\pi\) | |||||||
\(42\) | −4.07001 | − | 7.77258i | −0.628016 | − | 1.19934i | ||||
\(43\) | 7.07675 | + | 9.22260i | 1.07919 | + | 1.40643i | 0.906879 | + | 0.421391i | \(0.138458\pi\) |
0.172314 | + | 0.985042i | \(0.444876\pi\) | |||||||
\(44\) | 0.448359 | − | 0.596881i | 0.0675927 | − | 0.0899832i | ||||
\(45\) | 1.59369 | + | 5.15182i | 0.237573 | + | 0.767988i | ||||
\(46\) | −9.63149 | − | 1.21783i | −1.42009 | − | 0.179559i | ||||
\(47\) | −6.77779 | − | 3.91316i | −0.988643 | − | 0.570793i | −0.0837745 | − | 0.996485i | \(-0.526698\pi\) |
−0.904868 | + | 0.425692i | \(0.860031\pi\) | |||||||
\(48\) | −5.60368 | + | 4.07416i | −0.808822 | + | 0.588054i | ||||
\(49\) | −5.04864 | + | 2.91484i | −0.721235 | + | 0.416405i | ||||
\(50\) | −2.30607 | + | 0.969080i | −0.326128 | + | 0.137049i | ||||
\(51\) | −3.01146 | + | 0.255240i | −0.421689 | + | 0.0357407i | ||||
\(52\) | −2.23634 | + | 5.55948i | −0.310124 | + | 0.770962i | ||||
\(53\) | 0.0924591 | − | 0.223216i | 0.0127002 | − | 0.0306611i | −0.917402 | − | 0.397961i | \(-0.869718\pi\) |
0.930102 | + | 0.367300i | \(0.119718\pi\) | |||||||
\(54\) | 6.79754 | − | 2.79167i | 0.925028 | − | 0.379898i | ||||
\(55\) | 0.474439 | + | 0.474439i | 0.0639734 | + | 0.0639734i | ||||
\(56\) | 6.29020 | + | 7.94171i | 0.840563 | + | 1.06126i | ||||
\(57\) | −8.66684 | + | 4.48184i | −1.14795 | + | 0.593634i | ||||
\(58\) | −8.09251 | + | 0.0414708i | −1.06260 | + | 0.00544539i | ||||
\(59\) | −11.5482 | + | 1.52035i | −1.50345 | + | 0.197933i | −0.836828 | − | 0.547466i | \(-0.815593\pi\) |
−0.666619 | + | 0.745398i | \(0.732259\pi\) | |||||||
\(60\) | −2.91683 | − | 5.50154i | −0.376561 | − | 0.710245i | ||||
\(61\) | −0.273638 | + | 2.07849i | −0.0350358 | + | 0.266123i | 0.964957 | + | 0.262407i | \(0.0845163\pi\) |
−0.999993 | + | 0.00371634i | \(0.998817\pi\) | |||||||
\(62\) | −3.50184 | + | 2.71568i | −0.444734 | + | 0.344892i | ||||
\(63\) | −4.48837 | − | 9.76328i | −0.565482 | − | 1.23006i | ||||
\(64\) | 5.48027 | − | 5.82809i | 0.685034 | − | 0.728511i | ||||
\(65\) | −4.66430 | − | 2.69294i | −0.578536 | − | 0.334018i | ||||
\(66\) | 0.586008 | − | 0.701808i | 0.0721326 | − | 0.0863866i | ||||
\(67\) | 9.30321 | − | 12.1242i | 1.13657 | − | 1.48120i | 0.283823 | − | 0.958877i | \(-0.408397\pi\) |
0.852745 | − | 0.522327i | \(-0.174936\pi\) | |||||||
\(68\) | 3.36146 | − | 0.937729i | 0.407637 | − | 0.113716i | ||||
\(69\) | −11.7038 | − | 2.09644i | −1.40897 | − | 0.252381i | ||||
\(70\) | −7.86222 | + | 4.59313i | −0.939715 | + | 0.548984i | ||||
\(71\) | −6.98163 | − | 6.98163i | −0.828567 | − | 0.828567i | 0.158751 | − | 0.987319i | \(-0.449253\pi\) |
−0.987319 | + | 0.158751i | \(0.949253\pi\) | |||||||
\(72\) | −7.11070 | + | 4.63011i | −0.838004 | + | 0.545664i | ||||
\(73\) | 3.07820 | − | 3.07820i | 0.360277 | − | 0.360277i | −0.503638 | − | 0.863915i | \(-0.668006\pi\) |
0.863915 | + | 0.503638i | \(0.168006\pi\) | |||||||
\(74\) | −0.792845 | + | 3.02077i | −0.0921664 | + | 0.351158i | ||||
\(75\) | −2.88167 | + | 1.04000i | −0.332746 | + | 0.120089i | ||||
\(76\) | 8.86757 | − | 6.94988i | 1.01718 | − | 0.797205i | ||||
\(77\) | −1.06068 | − | 0.813892i | −0.120876 | − | 0.0927516i | ||||
\(78\) | −3.08562 | + | 6.65902i | −0.349377 | + | 0.753985i | ||||
\(79\) | −6.74166 | + | 11.6769i | −0.758496 | + | 1.31375i | 0.185121 | + | 0.982716i | \(0.440732\pi\) |
−0.943617 | + | 0.331038i | \(0.892601\pi\) | |||||||
\(80\) | 4.49315 | + | 5.61349i | 0.502349 | + | 0.627608i | ||||
\(81\) | 8.49013 | − | 2.98624i | 0.943348 | − | 0.331805i | ||||
\(82\) | −0.169592 | + | 1.34125i | −0.0187283 | + | 0.148117i | ||||
\(83\) | 3.59526 | + | 0.473325i | 0.394631 | + | 0.0519542i | 0.325231 | − | 0.945635i | \(-0.394558\pi\) |
0.0694004 | + | 0.997589i | \(0.477891\pi\) | |||||||
\(84\) | 7.19328 | + | 10.1100i | 0.784851 | + | 1.10310i | ||||
\(85\) | 0.409405 | + | 3.10974i | 0.0444062 | + | 0.337298i | ||||
\(86\) | −11.6842 | − | 11.5651i | −1.25994 | − | 1.24710i | ||||
\(87\) | −9.90075 | − | 0.459185i | −1.06147 | − | 0.0492298i | ||||
\(88\) | −0.513752 | + | 0.922304i | −0.0547661 | + | 0.0983179i | ||||
\(89\) | 8.06756 | − | 8.06756i | 0.855160 | − | 0.855160i | −0.135603 | − | 0.990763i | \(-0.543297\pi\) |
0.990763 | + | 0.135603i | \(0.0432973\pi\) | |||||||
\(90\) | −3.22099 | − | 6.91285i | −0.339522 | − | 0.728678i | ||||
\(91\) | 9.91505 | + | 4.10695i | 1.03938 | + | 0.430525i | ||||
\(92\) | 13.7287 | − | 0.140712i | 1.43132 | − | 0.0146702i | ||||
\(93\) | −4.45430 | + | 3.10096i | −0.461889 | + | 0.321555i | ||||
\(94\) | 10.2472 | + | 4.18312i | 1.05691 | + | 0.431456i | ||||
\(95\) | 5.06307 | + | 8.76950i | 0.519460 | + | 0.899732i | ||||
\(96\) | 7.07028 | − | 6.78315i | 0.721607 | − | 0.692303i | ||||
\(97\) | 3.42013 | − | 5.92385i | 0.347262 | − | 0.601475i | −0.638500 | − | 0.769622i | \(-0.720445\pi\) |
0.985762 | + | 0.168146i | \(0.0537781\pi\) | |||||||
\(98\) | 6.51492 | − | 5.05233i | 0.658106 | − | 0.510362i | ||||
\(99\) | 0.760980 | − | 0.821473i | 0.0764814 | − | 0.0825611i | ||||
\(100\) | 3.04531 | − | 1.80007i | 0.304531 | − | 0.180007i | ||||
\(101\) | 5.79394 | − | 4.44585i | 0.576519 | − | 0.442379i | −0.278896 | − | 0.960321i | \(-0.589969\pi\) |
0.855415 | + | 0.517943i | \(0.173302\pi\) | |||||||
\(102\) | 4.17056 | − | 0.935152i | 0.412947 | − | 0.0925938i | ||||
\(103\) | −17.2072 | − | 4.61066i | −1.69548 | − | 0.454301i | −0.723682 | − | 0.690133i | \(-0.757552\pi\) |
−0.971794 | + | 0.235832i | \(0.924219\pi\) | |||||||
\(104\) | 2.06728 | − | 8.21854i | 0.202713 | − | 0.805895i | ||||
\(105\) | −9.90587 | + | 5.12257i | −0.966714 | + | 0.499911i | ||||
\(106\) | −0.0867420 | + | 0.330491i | −0.00842513 | + | 0.0321001i | ||||
\(107\) | −10.2442 | − | 4.24331i | −0.990349 | − | 0.410216i | −0.172099 | − | 0.985080i | \(-0.555055\pi\) |
−0.818249 | + | 0.574864i | \(0.805055\pi\) | |||||||
\(108\) | −8.98901 | + | 5.21515i | −0.864968 | + | 0.501828i | ||||
\(109\) | 4.35721 | + | 10.5192i | 0.417345 | + | 1.00756i | 0.983114 | + | 0.182997i | \(0.0585797\pi\) |
−0.565768 | + | 0.824564i | \(0.691420\pi\) | |||||||
\(110\) | −0.755746 | − | 0.573776i | −0.0720576 | − | 0.0547074i | ||||
\(111\) | −1.16009 | + | 3.64482i | −0.110110 | + | 0.345951i | ||||
\(112\) | −10.3365 | − | 9.92123i | −0.976711 | − | 0.937468i | ||||
\(113\) | −1.18751 | − | 2.05683i | −0.111712 | − | 0.193490i | 0.804749 | − | 0.593616i | \(-0.202300\pi\) |
−0.916461 | + | 0.400125i | \(0.868967\pi\) | |||||||
\(114\) | 11.2840 | − | 7.94181i | 1.05685 | − | 0.743818i | ||||
\(115\) | −1.61066 | + | 12.2342i | −0.150195 | + | 1.14084i | ||||
\(116\) | 11.3309 | − | 1.61005i | 1.05204 | − | 0.149489i | ||||
\(117\) | −4.19368 | + | 7.95037i | −0.387705 | + | 0.735012i | ||||
\(118\) | 15.8892 | − | 4.34489i | 1.46272 | − | 0.399979i | ||||
\(119\) | −1.61762 | − | 6.03702i | −0.148287 | − | 0.553413i | ||||
\(120\) | 5.14197 | + | 7.14911i | 0.469395 | + | 0.652621i | ||||
\(121\) | −2.81095 | + | 10.4906i | −0.255541 | + | 0.953692i | ||||
\(122\) | −0.0151932 | − | 2.96475i | −0.00137552 | − | 0.268416i | ||||
\(123\) | −0.291944 | + | 1.62983i | −0.0263237 | + | 0.146957i | ||||
\(124\) | 4.38581 | − | 4.47664i | 0.393857 | − | 0.402014i | ||||
\(125\) | 4.65622 | + | 11.2411i | 0.416465 | + | 1.00544i | ||||
\(126\) | 8.16123 | + | 12.8191i | 0.727060 | + | 1.14201i | ||||
\(127\) | 15.1435i | 1.34377i | 0.740656 | + | 0.671885i | \(0.234515\pi\) | ||||
−0.740656 | + | 0.671885i | \(0.765485\pi\) | |||||||
\(128\) | −6.56101 | + | 9.21700i | −0.579917 | + | 0.814676i | ||||
\(129\) | −13.5626 | − | 14.8818i | −1.19412 | − | 1.31027i | ||||
\(130\) | 7.05183 | + | 2.87871i | 0.618486 | + | 0.252480i | ||||
\(131\) | 7.55393 | + | 5.79634i | 0.659990 | + | 0.506428i | 0.883595 | − | 0.468251i | \(-0.155116\pi\) |
−0.223605 | + | 0.974680i | \(0.571783\pi\) | |||||||
\(132\) | −0.686496 | + | 1.09572i | −0.0597518 | + | 0.0953701i | ||||
\(133\) | −12.2833 | − | 16.0079i | −1.06510 | − | 1.38806i | ||||
\(134\) | −10.7101 | + | 18.7719i | −0.925210 | + | 1.62165i | ||||
\(135\) | −3.50408 | − | 8.65821i | −0.301584 | − | 0.745180i | ||||
\(136\) | −4.53008 | + | 1.95854i | −0.388451 | + | 0.167944i | ||||
\(137\) | 20.1687 | − | 5.40418i | 1.72313 | − | 0.461710i | 0.744545 | − | 0.667572i | \(-0.232667\pi\) |
0.978581 | + | 0.205862i | \(0.0659998\pi\) | |||||||
\(138\) | 16.8008 | + | 0.692938i | 1.43018 | + | 0.0589868i | ||||
\(139\) | −0.0822893 | + | 0.0108336i | −0.00697969 | + | 0.000918894i | −0.134015 | − | 0.990979i | \(-0.542787\pi\) |
0.127036 | + | 0.991898i | \(0.459454\pi\) | |||||||
\(140\) | 10.1353 | − | 7.94344i | 0.856589 | − | 0.671344i | ||||
\(141\) | 12.2700 | + | 5.76214i | 1.03332 | + | 0.485260i | ||||
\(142\) | 11.1212 | + | 8.44342i | 0.933272 | + | 0.708556i | ||||
\(143\) | 1.11837i | 0.0935224i | ||||||||
\(144\) | 9.07523 | − | 7.85113i | 0.756269 | − | 0.654261i | ||||
\(145\) | 10.2863i | 0.854229i | ||||||||
\(146\) | −3.72271 | + | 4.90335i | −0.308093 | + | 0.405804i | ||||
\(147\) | 8.28689 | − | 5.76911i | 0.683491 | − | 0.475828i | ||||
\(148\) | 0.531587 | − | 4.38461i | 0.0436962 | − | 0.360412i | ||||
\(149\) | −17.0947 | + | 2.25056i | −1.40045 | + | 0.184373i | −0.792631 | − | 0.609701i | \(-0.791289\pi\) |
−0.607821 | + | 0.794074i | \(0.707956\pi\) | |||||||
\(150\) | 3.83821 | − | 2.00983i | 0.313388 | − | 0.164102i | ||||
\(151\) | 13.8052 | − | 3.69908i | 1.12345 | − | 0.301027i | 0.351170 | − | 0.936312i | \(-0.385784\pi\) |
0.772278 | + | 0.635285i | \(0.219117\pi\) | |||||||
\(152\) | −11.0920 | + | 11.4384i | −0.899680 | + | 0.927777i | ||||
\(153\) | 5.16004 | − | 0.881018i | 0.417164 | − | 0.0712261i | ||||
\(154\) | 1.64226 | + | 0.936972i | 0.132337 | + | 0.0755034i | ||||
\(155\) | 3.42896 | + | 4.46871i | 0.275421 | + | 0.358936i | ||||
\(156\) | 3.04638 | − | 9.92203i | 0.243906 | − | 0.794398i | ||||
\(157\) | −8.81893 | − | 6.76700i | −0.703827 | − | 0.540066i | 0.193680 | − | 0.981065i | \(-0.437958\pi\) |
−0.897508 | + | 0.440999i | \(0.854624\pi\) | |||||||
\(158\) | 7.20675 | − | 17.6540i | 0.573338 | − | 1.40447i | ||||
\(159\) | −0.126920 | + | 0.398765i | −0.0100654 | + | 0.0316241i | ||||
\(160\) | −7.37211 | − | 7.00368i | −0.582816 | − | 0.553689i | ||||
\(161\) | − | 24.5884i | − | 1.93784i | ||||||
\(162\) | −11.3233 | + | 5.81237i | −0.889640 | + | 0.456663i | ||||
\(163\) | −1.56826 | − | 3.78611i | −0.122835 | − | 0.296551i | 0.850486 | − | 0.525998i | \(-0.176308\pi\) |
−0.973321 | + | 0.229447i | \(0.926308\pi\) | |||||||
\(164\) | −0.0195951 | − | 1.91182i | −0.00153012 | − | 0.149288i | ||||
\(165\) | −0.888217 | − | 0.749418i | −0.0691476 | − | 0.0583421i | ||||
\(166\) | −5.12827 | + | 0.0262803i | −0.398031 | + | 0.00203975i | ||||
\(167\) | −5.12700 | + | 19.1342i | −0.396740 | + | 1.48065i | 0.422058 | + | 0.906569i | \(0.361308\pi\) |
−0.818797 | + | 0.574083i | \(0.805359\pi\) | |||||||
\(168\) | −12.0177 | − | 12.7862i | −0.927187 | − | 0.986476i | ||||
\(169\) | 1.04116 | + | 3.88567i | 0.0800893 | + | 0.298897i | ||||
\(170\) | −1.17001 | − | 4.27870i | −0.0897354 | − | 0.328161i | ||||
\(171\) | 14.3022 | − | 9.00280i | 1.09372 | − | 0.688461i | ||||
\(172\) | 18.5893 | + | 13.9637i | 1.41742 | + | 1.06472i | ||||
\(173\) | 1.22117 | − | 9.27573i | 0.0928441 | − | 0.705221i | −0.880200 | − | 0.474602i | \(-0.842592\pi\) |
0.973044 | − | 0.230618i | \(-0.0740748\pi\) | |||||||
\(174\) | 13.9605 | − | 1.25533i | 1.05834 | − | 0.0951659i | ||||
\(175\) | −3.16773 | − | 5.48667i | −0.239458 | − | 0.414754i | ||||
\(176\) | 0.542969 | − | 1.39081i | 0.0409278 | − | 0.104836i | ||||
\(177\) | 19.7082 | − | 4.31316i | 1.48136 | − | 0.324197i | ||||
\(178\) | −9.75671 | + | 12.8510i | −0.731297 | + | 0.963225i | ||||
\(179\) | −4.96063 | − | 11.9760i | −0.370775 | − | 0.895129i | −0.993620 | − | 0.112784i | \(-0.964023\pi\) |
0.622845 | − | 0.782345i | \(-0.285977\pi\) | |||||||
\(180\) | 5.83880 | + | 9.06823i | 0.435198 | + | 0.675906i | ||||
\(181\) | −16.4628 | − | 6.81910i | −1.22367 | − | 0.506860i | −0.325094 | − | 0.945682i | \(-0.605396\pi\) |
−0.898574 | + | 0.438822i | \(0.855396\pi\) | |||||||
\(182\) | −14.6801 | − | 3.85300i | −1.08816 | − | 0.285603i | ||||
\(183\) | 0.168226 | − | 3.62722i | 0.0124356 | − | 0.268131i | ||||
\(184\) | −19.2090 | + | 2.82998i | −1.41611 | + | 0.208629i | ||||
\(185\) | 3.83440 | + | 1.02742i | 0.281910 | + | 0.0755377i | ||||
\(186\) | 5.64645 | − | 5.19913i | 0.414018 | − | 0.381219i | ||||
\(187\) | 0.516713 | − | 0.396488i | 0.0377858 | − | 0.0289941i | ||||
\(188\) | −15.1600 | − | 3.89603i | −1.10566 | − | 0.284147i | ||||
\(189\) | 9.17446 | + | 16.1935i | 0.667344 | + | 1.17791i | ||||
\(190\) | −8.77590 | − | 11.3164i | −0.636670 | − | 0.820979i | ||||
\(191\) | 1.07471 | − | 1.86145i | 0.0777631 | − | 0.134690i | −0.824521 | − | 0.565831i | \(-0.808556\pi\) |
0.902284 | + | 0.431141i | \(0.141889\pi\) | |||||||
\(192\) | −8.60569 | + | 10.8601i | −0.621062 | + | 0.783762i | ||||
\(193\) | 6.08117 | + | 10.5329i | 0.437732 | + | 0.758174i | 0.997514 | − | 0.0704658i | \(-0.0224486\pi\) |
−0.559782 | + | 0.828640i | \(0.689115\pi\) | |||||||
\(194\) | −3.65608 | + | 8.95609i | −0.262491 | + | 0.643010i | ||||
\(195\) | 8.44386 | + | 3.96536i | 0.604678 | + | 0.283965i | ||||
\(196\) | −8.15947 | + | 8.32846i | −0.582819 | + | 0.594890i | ||||
\(197\) | −10.8820 | − | 4.50748i | −0.775311 | − | 0.321145i | −0.0402897 | − | 0.999188i | \(-0.512828\pi\) |
−0.735022 | + | 0.678044i | \(0.762828\pi\) | |||||||
\(198\) | −0.908710 | + | 1.29694i | −0.0645792 | + | 0.0921698i | ||||
\(199\) | 7.92489 | − | 7.92489i | 0.561780 | − | 0.561780i | −0.368033 | − | 0.929813i | \(-0.619969\pi\) |
0.929813 | + | 0.368033i | \(0.119969\pi\) | |||||||
\(200\) | −3.92172 | + | 3.10619i | −0.277308 | + | 0.219640i | ||||
\(201\) | −14.2826 | + | 22.2855i | −1.00741 | + | 1.57190i | ||||
\(202\) | −7.26559 | + | 7.34044i | −0.511205 | + | 0.516471i | ||||
\(203\) | −2.67534 | − | 20.3212i | −0.187772 | − | 1.42627i | ||||
\(204\) | −5.66425 | + | 2.11010i | −0.396577 | + | 0.147736i | ||||
\(205\) | 1.70370 | + | 0.224296i | 0.118992 | + | 0.0156655i | ||||
\(206\) | 24.9941 | + | 3.16032i | 1.74142 | + | 0.220190i | ||||
\(207\) | 20.5057 | + | 1.90617i | 1.42525 | + | 0.132488i | ||||
\(208\) | −1.32046 | + | 11.9119i | −0.0915572 | + | 0.825939i | ||||
\(209\) | 1.05134 | − | 1.82097i | 0.0727225 | − | 0.125959i | ||||
\(210\) | 12.8972 | − | 9.07718i | 0.889994 | − | 0.626385i | ||||
\(211\) | 3.97243 | + | 3.04815i | 0.273473 | + | 0.209843i | 0.736388 | − | 0.676559i | \(-0.236530\pi\) |
−0.462915 | + | 0.886403i | \(0.653196\pi\) | |||||||
\(212\) | 0.0581588 | − | 0.479702i | 0.00399436 | − | 0.0329461i | ||||
\(213\) | 13.0706 | + | 11.0281i | 0.895583 | + | 0.755632i | ||||
\(214\) | 15.1675 | + | 3.98092i | 1.03683 | + | 0.272130i | ||||
\(215\) | −14.7760 | + | 14.7760i | −1.00771 | + | 1.00771i | ||||
\(216\) | 11.5948 | − | 9.03107i | 0.788927 | − | 0.614487i | ||||
\(217\) | −7.93642 | − | 7.93642i | −0.538759 | − | 0.538759i | ||||
\(218\) | −8.12244 | − | 13.9034i | −0.550121 | − | 0.941660i | ||||
\(219\) | −4.86229 | + | 5.76283i | −0.328563 | + | 0.389416i | ||||
\(220\) | 1.16895 | + | 0.659013i | 0.0788106 | + | 0.0444306i | ||||
\(221\) | −3.18266 | + | 4.14772i | −0.214089 | + | 0.279006i | ||||
\(222\) | 0.926471 | − | 5.32942i | 0.0621806 | − | 0.357687i | ||||
\(223\) | 3.80005 | + | 2.19396i | 0.254470 | + | 0.146918i | 0.621809 | − | 0.783169i | \(-0.286398\pi\) |
−0.367339 | + | 0.930087i | \(0.619731\pi\) | |||||||
\(224\) | 16.3857 | + | 11.9188i | 1.09481 | + | 0.796362i | ||||
\(225\) | 4.82124 | − | 2.21642i | 0.321416 | − | 0.147761i | ||||
\(226\) | 2.05833 | + | 2.65420i | 0.136918 | + | 0.176554i | ||||
\(227\) | −1.42641 | + | 10.8346i | −0.0946739 | + | 0.719120i | 0.876611 | + | 0.481200i | \(0.159799\pi\) |
−0.971285 | + | 0.237920i | \(0.923534\pi\) | |||||||
\(228\) | −14.2876 | + | 13.2917i | −0.946220 | + | 0.880262i | ||||
\(229\) | −13.0635 | + | 1.71984i | −0.863261 | + | 0.113650i | −0.549138 | − | 0.835732i | \(-0.685044\pi\) |
−0.314123 | + | 0.949382i | \(0.601710\pi\) | |||||||
\(230\) | −0.0894284 | − | 17.4508i | −0.00589673 | − | 1.15067i | ||||
\(231\) | 1.94965 | + | 1.24951i | 0.128278 | + | 0.0822118i | ||||
\(232\) | −15.5675 | + | 4.42889i | −1.02206 | + | 0.290771i | ||||
\(233\) | 7.56622 | + | 7.56622i | 0.495680 | + | 0.495680i | 0.910090 | − | 0.414410i | \(-0.136012\pi\) |
−0.414410 | + | 0.910090i | \(0.636012\pi\) | |||||||
\(234\) | 4.35129 | − | 11.9439i | 0.284453 | − | 0.780798i | ||||
\(235\) | 5.38371 | − | 12.9974i | 0.351194 | − | 0.847858i | ||||
\(236\) | −21.4299 | + | 9.13499i | −1.39497 | + | 0.594637i | ||||
\(237\) | 9.92712 | − | 21.1389i | 0.644836 | − | 1.37312i | ||||
\(238\) | 3.42427 | + | 8.14856i | 0.221962 | + | 0.528193i | ||||
\(239\) | −2.57045 | + | 1.48405i | −0.166268 | + | 0.0959951i | −0.580825 | − | 0.814028i | \(-0.697270\pi\) |
0.414557 | + | 0.910023i | \(0.363937\pi\) | |||||||
\(240\) | −8.57569 | − | 9.03088i | −0.553558 | − | 0.582941i | ||||
\(241\) | −2.79284 | − | 1.61245i | −0.179903 | − | 0.103867i | 0.407344 | − | 0.913275i | \(-0.366455\pi\) |
−0.587247 | + | 0.809408i | \(0.699788\pi\) | |||||||
\(242\) | 1.92673 | − | 15.2380i | 0.123855 | − | 0.979535i | ||||
\(243\) | −14.2160 | + | 6.39576i | −0.911956 | + | 0.410288i | ||||
\(244\) | 0.589852 | + | 4.15115i | 0.0377614 | + | 0.265750i | ||||
\(245\) | −6.37933 | − | 8.31371i | −0.407561 | − | 0.531144i | ||||
\(246\) | 0.0964967 | − | 2.33963i | 0.00615240 | − | 0.149169i | ||||
\(247\) | −4.36846 | + | 16.3033i | −0.277958 | + | 1.03735i | ||||
\(248\) | −5.28667 | + | 7.11354i | −0.335704 | + | 0.451710i | ||||
\(249\) | −6.27416 | − | 0.290988i | −0.397609 | − | 0.0184406i | ||||
\(250\) | −8.67982 | − | 14.8575i | −0.548960 | − | 0.939673i | ||||
\(251\) | −9.06914 | + | 21.8948i | −0.572439 | + | 1.38199i | 0.327033 | + | 0.945013i | \(0.393951\pi\) |
−0.899472 | + | 0.436977i | \(0.856049\pi\) | |||||||
\(252\) | −13.8935 | − | 16.3963i | −0.875207 | − | 1.03287i | ||||
\(253\) | 2.36728 | − | 0.980559i | 0.148830 | − | 0.0616472i | ||||
\(254\) | −2.90414 | − | 21.2183i | −0.182222 | − | 1.33136i | ||||
\(255\) | −1.16146 | − | 5.30710i | −0.0727335 | − | 0.332343i | ||||
\(256\) | 7.42537 | − | 14.1726i | 0.464086 | − | 0.885790i | ||||
\(257\) | 21.4927 | − | 12.4088i | 1.34068 | − | 0.774039i | 0.353769 | − | 0.935333i | \(-0.384900\pi\) |
0.986907 | + | 0.161293i | \(0.0515665\pi\) | |||||||
\(258\) | 21.8571 | + | 18.2506i | 1.36076 | + | 1.13624i | ||||
\(259\) | −7.84234 | − | 1.03246i | −0.487299 | − | 0.0641542i | ||||
\(260\) | −10.4327 | − | 2.68115i | −0.647011 | − | 0.166278i | ||||
\(261\) | 17.1545 | − | 0.655766i | 1.06184 | − | 0.0405909i | ||||
\(262\) | −11.6958 | − | 6.67289i | −0.722568 | − | 0.412252i | ||||
\(263\) | 4.23588 | − | 1.13500i | 0.261195 | − | 0.0699871i | −0.125845 | − | 0.992050i | \(-0.540164\pi\) |
0.387040 | + | 0.922063i | \(0.373497\pi\) | |||||||
\(264\) | 0.751753 | − | 1.66692i | 0.0462672 | − | 0.102592i | ||||
\(265\) | 0.419506 | + | 0.112406i | 0.0257700 | + | 0.00690506i | ||||
\(266\) | 20.2807 | + | 20.0739i | 1.24349 | + | 1.23081i | ||||
\(267\) | −12.7434 | + | 15.1036i | −0.779884 | + | 0.924326i | ||||
\(268\) | 11.4065 | − | 28.3562i | 0.696761 | − | 1.73213i | ||||
\(269\) | −24.7801 | + | 10.2643i | −1.51087 | + | 0.625823i | −0.975737 | − | 0.218945i | \(-0.929738\pi\) |
−0.535133 | + | 0.844768i | \(0.679738\pi\) | |||||||
\(270\) | 6.57017 | + | 11.4595i | 0.399848 | + | 0.697401i | ||||
\(271\) | −0.211532 | −0.0128497 | −0.00642483 | − | 0.999979i | \(-0.502045\pi\) | ||||
−0.00642483 | + | 0.999979i | \(0.502045\pi\) | |||||||
\(272\) | 5.97172 | − | 3.61296i | 0.362089 | − | 0.219068i | ||||
\(273\) | −17.7128 | − | 5.63768i | −1.07203 | − | 0.341208i | ||||
\(274\) | −27.2230 | + | 11.4399i | −1.64460 | + | 0.691110i | ||||
\(275\) | 0.401911 | − | 0.523780i | 0.0242361 | − | 0.0315851i | ||||
\(276\) | −23.6733 | + | 2.25105i | −1.42496 | + | 0.135497i | ||||
\(277\) | 6.36169 | − | 4.88150i | 0.382237 | − | 0.293301i | −0.399715 | − | 0.916640i | \(-0.630891\pi\) |
0.781952 | + | 0.623339i | \(0.214224\pi\) | |||||||
\(278\) | 0.113222 | − | 0.0309605i | 0.00679061 | − | 0.00185689i | ||||
\(279\) | 7.23391 | − | 6.00340i | 0.433083 | − | 0.359414i | ||||
\(280\) | −12.6777 | + | 13.0737i | −0.757639 | + | 0.781300i | ||||
\(281\) | −3.77176 | − | 14.0764i | −0.225005 | − | 0.839729i | −0.982403 | − | 0.186775i | \(-0.940196\pi\) |
0.757398 | − | 0.652953i | \(-0.226470\pi\) | |||||||
\(282\) | −18.2971 | − | 5.72056i | −1.08958 | − | 0.340654i | ||||
\(283\) | 1.61124 | + | 12.2386i | 0.0957784 | + | 0.727510i | 0.970194 | + | 0.242331i | \(0.0779120\pi\) |
−0.874415 | + | 0.485178i | \(0.838755\pi\) | |||||||
\(284\) | −17.2017 | − | 9.69773i | −1.02073 | − | 0.575454i | ||||
\(285\) | −10.0210 | − | 14.3943i | −0.593590 | − | 0.852647i | ||||
\(286\) | −0.214474 | − | 1.56700i | −0.0126821 | − | 0.0926585i | ||||
\(287\) | −3.42411 | −0.202119 | ||||||||
\(288\) | −11.2101 | + | 12.7410i | −0.660562 | + | 0.750772i | ||||
\(289\) | −13.9553 | −0.820901 | ||||||||
\(290\) | −1.97265 | − | 14.4126i | −0.115838 | − | 0.846338i | ||||
\(291\) | −5.03616 | + | 10.7240i | −0.295225 | + | 0.628654i | ||||
\(292\) | 4.27573 | − | 7.58425i | 0.250218 | − | 0.443835i | ||||
\(293\) | −0.872300 | − | 6.62577i | −0.0509603 | − | 0.387082i | −0.997851 | − | 0.0655259i | \(-0.979128\pi\) |
0.946891 | − | 0.321556i | \(-0.104206\pi\) | |||||||
\(294\) | −10.5048 | + | 9.67261i | −0.612653 | + | 0.564118i | ||||
\(295\) | −5.41908 | − | 20.2243i | −0.315511 | − | 1.17750i | ||||
\(296\) | 0.0960227 | + | 6.24544i | 0.00558121 | + | 0.363009i | ||||
\(297\) | −1.19318 | + | 1.52906i | −0.0692356 | + | 0.0887253i | ||||
\(298\) | 23.5206 | − | 6.43170i | 1.36251 | − | 0.372578i | ||||
\(299\) | −16.3178 | + | 12.5211i | −0.943682 | + | 0.724113i | ||||
\(300\) | −4.99247 | + | 3.55214i | −0.288240 | + | 0.205083i | ||||
\(301\) | 25.3479 | − | 33.0340i | 1.46103 | − | 1.90405i | ||||
\(302\) | −18.6337 | + | 7.83045i | −1.07225 | + | 0.450592i | ||||
\(303\) | −9.34923 | + | 8.52045i | −0.537099 | + | 0.489487i | ||||
\(304\) | 13.3480 | − | 18.1541i | 0.765558 | − | 1.04121i | ||||
\(305\) | −3.76846 | −0.215781 | ||||||||
\(306\) | −7.06103 | + | 2.22400i | −0.403652 | + | 0.127138i | ||||
\(307\) | 10.3790 | − | 4.29912i | 0.592360 | − | 0.245364i | −0.0663053 | − | 0.997799i | \(-0.521121\pi\) |
0.658666 | + | 0.752436i | \(0.271121\pi\) | |||||||
\(308\) | −2.48074 | − | 0.997895i | −0.141353 | − | 0.0568603i | ||||
\(309\) | 30.3717 | + | 5.44033i | 1.72779 | + | 0.309490i | ||||
\(310\) | −5.66148 | − | 5.60375i | −0.321550 | − | 0.318272i | ||||
\(311\) | 11.7542 | + | 3.14953i | 0.666521 | + | 0.178594i | 0.576187 | − | 0.817318i | \(-0.304540\pi\) |
0.0903337 | + | 0.995912i | \(0.471207\pi\) | |||||||
\(312\) | −2.36565 | + | 14.4865i | −0.133928 | + | 0.820135i | ||||
\(313\) | −25.2935 | + | 6.77738i | −1.42967 | + | 0.383080i | −0.888905 | − | 0.458091i | \(-0.848533\pi\) |
−0.540769 | + | 0.841171i | \(0.681867\pi\) | |||||||
\(314\) | 13.6544 | + | 7.79034i | 0.770562 | + | 0.439634i | ||||
\(315\) | 16.3469 | − | 10.2899i | 0.921041 | − | 0.579768i | ||||
\(316\) | −6.71215 | + | 26.1179i | −0.377588 | + | 1.46925i | ||||
\(317\) | −3.76133 | − | 0.495188i | −0.211257 | − | 0.0278125i | 0.0241547 | − | 0.999708i | \(-0.492311\pi\) |
−0.235412 | + | 0.971896i | \(0.575644\pi\) | |||||||
\(318\) | 0.101361 | − | 0.583070i | 0.00568407 | − | 0.0326969i | ||||
\(319\) | 1.84976 | − | 1.06796i | 0.103567 | − | 0.0597944i | ||||
\(320\) | 11.6726 | + | 8.39942i | 0.652516 | + | 0.469542i | ||||
\(321\) | 18.3009 | + | 5.82486i | 1.02145 | + | 0.325112i | ||||
\(322\) | 4.71543 | + | 34.4521i | 0.262781 | + | 1.91994i | ||||
\(323\) | 9.08127 | − | 3.76159i | 0.505295 | − | 0.209300i | ||||
\(324\) | 14.7509 | − | 10.3155i | 0.819496 | − | 0.573084i | ||||
\(325\) | −2.02807 | + | 4.89619i | −0.112497 | + | 0.271592i | ||||
\(326\) | 2.92344 | + | 5.00415i | 0.161915 | + | 0.277154i | ||||
\(327\) | −9.05868 | − | 17.5174i | −0.500946 | − | 0.968715i | ||||
\(328\) | 0.394095 | + | 2.67499i | 0.0217603 | + | 0.147702i | ||||
\(329\) | −7.25541 | + | 27.0775i | −0.400003 | + | 1.49283i | ||||
\(330\) | 1.38825 | + | 0.879709i | 0.0764204 | + | 0.0484264i | ||||
\(331\) | 18.4154 | + | 23.9994i | 1.01220 | + | 1.31913i | 0.946992 | + | 0.321257i | \(0.104105\pi\) |
0.0652113 | + | 0.997871i | \(0.479228\pi\) | |||||||
\(332\) | 7.18044 | − | 1.02030i | 0.394078 | − | 0.0559960i | ||||
\(333\) | 1.46899 | − | 6.46016i | 0.0805004 | − | 0.354014i | ||||
\(334\) | 3.51424 | − | 27.7932i | 0.192291 | − | 1.52078i | ||||
\(335\) | 23.7903 | + | 13.7354i | 1.29980 | + | 0.750442i | ||||
\(336\) | 19.2907 | + | 15.6107i | 1.05239 | + | 0.851632i | ||||
\(337\) | 4.28532 | − | 2.47413i | 0.233436 | − | 0.134774i | −0.378720 | − | 0.925511i | \(-0.623636\pi\) |
0.612156 | + | 0.790737i | \(0.290302\pi\) | |||||||
\(338\) | −2.20400 | − | 5.24473i | −0.119882 | − | 0.285276i | ||||
\(339\) | 2.35035 | + | 3.37610i | 0.127654 | + | 0.183365i | ||||
\(340\) | 2.45990 | + | 5.77072i | 0.133407 | + | 0.312961i | ||||
\(341\) | 0.447593 | − | 1.08058i | 0.0242385 | − | 0.0585169i | ||||
\(342\) | −18.3130 | + | 15.3571i | −0.990254 | + | 0.830415i | ||||
\(343\) | −2.96415 | − | 2.96415i | −0.160049 | − | 0.160049i | ||||
\(344\) | −28.7243 | − | 16.0003i | −1.54871 | − | 0.862678i | ||||
\(345\) | 0.990195 | − | 21.3501i | 0.0533103 | − | 1.14945i | ||||
\(346\) | 0.0678029 | + | 13.2309i | 0.00364511 | + | 0.711297i | ||||
\(347\) | 14.3612 | − | 1.89069i | 0.770950 | − | 0.101497i | 0.265218 | − | 0.964188i | \(-0.414556\pi\) |
0.505731 | + | 0.862691i | \(0.331223\pi\) | |||||||
\(348\) | −19.3200 | + | 4.43617i | −1.03566 | + | 0.237804i | ||||
\(349\) | 3.52604 | − | 26.7830i | 0.188745 | − | 1.43366i | −0.590550 | − | 0.807001i | \(-0.701089\pi\) |
0.779294 | − | 0.626658i | \(-0.215578\pi\) | |||||||
\(350\) | 5.49067 | + | 7.08016i | 0.293489 | + | 0.378451i | ||||
\(351\) | 6.07475 | − | 14.3347i | 0.324246 | − | 0.765130i | ||||
\(352\) | −0.494059 | + | 2.05286i | −0.0263334 | + | 0.109418i | ||||
\(353\) | 18.9792 | + | 10.9576i | 1.01016 | + | 0.583216i | 0.911238 | − | 0.411880i | \(-0.135128\pi\) |
0.0989207 | + | 0.995095i | \(0.468461\pi\) | |||||||
\(354\) | −26.7870 | + | 9.82291i | −1.42371 | + | 0.522082i | ||||
\(355\) | 10.8045 | − | 14.0807i | 0.573441 | − | 0.747323i | ||||
\(356\) | 11.2061 | − | 19.8773i | 0.593923 | − | 1.05349i | ||||
\(357\) | 3.67486 | + | 10.1825i | 0.194494 | + | 0.538912i | ||||
\(358\) | 9.24728 | + | 15.8289i | 0.488734 | + | 0.836582i | ||||
\(359\) | 19.0920 | + | 19.0920i | 1.00764 | + | 1.00764i | 0.999971 | + | 0.00766543i | \(0.00244001\pi\) |
0.00766543 | + | 0.999971i | \(0.497560\pi\) | |||||||
\(360\) | −9.92009 | − | 11.5862i | −0.522835 | − | 0.610648i | ||||
\(361\) | 9.00406 | − | 9.00406i | 0.473898 | − | 0.473898i | ||||
\(362\) | 24.3745 | + | 6.39744i | 1.28110 | + | 0.336242i | ||||
\(363\) | 3.31677 | − | 18.5165i | 0.174086 | − | 0.971866i | ||||
\(364\) | 21.3079 | + | 2.58336i | 1.11684 | + | 0.135405i | ||||
\(365\) | 6.20816 | + | 4.76369i | 0.324950 | + | 0.249343i | ||||
\(366\) | 0.459898 | + | 5.11454i | 0.0240393 | + | 0.267341i | ||||
\(367\) | −9.57753 | + | 16.5888i | −0.499943 | + | 0.865927i | −1.00000 | 6.59121e-5i | \(-0.999979\pi\) | |
0.500057 | + | 0.865992i | \(0.333312\pi\) | |||||||
\(368\) | 26.3720 | − | 7.64902i | 1.37473 | − | 0.398733i | ||||
\(369\) | 0.265447 | − | 2.85557i | 0.0138186 | − | 0.148655i | ||||
\(370\) | −5.56960 | − | 0.704235i | −0.289550 | − | 0.0366114i | ||||
\(371\) | −0.857999 | − | 0.112958i | −0.0445451 | − | 0.00586447i | ||||
\(372\) | −6.91447 | + | 8.36762i | −0.358499 | + | 0.433841i | ||||
\(373\) | −1.18884 | − | 9.03013i | −0.0615558 | − | 0.467563i | −0.994266 | − | 0.106936i | \(-0.965896\pi\) |
0.932710 | − | 0.360627i | \(-0.117437\pi\) | |||||||
\(374\) | −0.647956 | + | 0.654632i | −0.0335050 | + | 0.0338502i | ||||
\(375\) | −9.68032 | − | 18.7195i | −0.499889 | − | 0.966671i | ||||
\(376\) | 21.9886 | + | 2.55162i | 1.13398 | + | 0.131590i | ||||
\(377\) | −12.1236 | + | 12.1236i | −0.624396 | + | 0.624396i | ||||
\(378\) | −15.9603 | − | 20.9301i | −0.820910 | − | 1.07653i | ||||
\(379\) | −25.8918 | − | 10.7247i | −1.32997 | − | 0.550892i | −0.399324 | − | 0.916810i | \(-0.630755\pi\) |
−0.930647 | + | 0.365918i | \(0.880755\pi\) | |||||||
\(380\) | 14.4666 | + | 14.1730i | 0.742118 | + | 0.727060i | ||||
\(381\) | −2.21516 | − | 26.1356i | −0.113486 | − | 1.33897i | ||||
\(382\) | −1.14885 | + | 2.81427i | −0.0587802 | + | 0.143991i | ||||
\(383\) | 8.68443 | + | 15.0419i | 0.443753 | + | 0.768604i | 0.997964 | − | 0.0637726i | \(-0.0203132\pi\) |
−0.554211 | + | 0.832376i | \(0.686980\pi\) | |||||||
\(384\) | 9.97516 | − | 16.8670i | 0.509043 | − | 0.860741i | ||||
\(385\) | 1.20164 | − | 2.08130i | 0.0612411 | − | 0.106073i | ||||
\(386\) | −10.5406 | − | 13.5919i | −0.536501 | − | 0.691812i | ||||
\(387\) | 25.5840 | + | 23.7000i | 1.30051 | + | 1.20474i | ||||
\(388\) | 3.40516 | − | 13.2500i | 0.172871 | − | 0.672666i | ||||
\(389\) | −8.43573 | + | 6.47296i | −0.427708 | + | 0.328192i | −0.800082 | − | 0.599891i | \(-0.795211\pi\) |
0.372374 | + | 0.928083i | \(0.378544\pi\) | |||||||
\(390\) | −12.5916 | − | 3.93674i | −0.637599 | − | 0.199345i | ||||
\(391\) | 11.5701 | + | 3.10020i | 0.585126 | + | 0.156784i | ||||
\(392\) | 9.83546 | − | 13.2342i | 0.496766 | − | 0.668429i | ||||
\(393\) | −13.8849 | − | 8.89871i | −0.700402 | − | 0.448881i | ||||
\(394\) | 16.1118 | + | 4.22876i | 0.811699 | + | 0.213042i | ||||
\(395\) | −22.3922 | − | 9.27515i | −1.12667 | − | 0.466683i | ||||
\(396\) | 1.02452 | − | 1.99148i | 0.0514840 | − | 0.100076i | ||||
\(397\) | 2.60403 | + | 6.28669i | 0.130693 | + | 0.315520i | 0.975657 | − | 0.219303i | \(-0.0703783\pi\) |
−0.844964 | + | 0.534823i | \(0.820378\pi\) | |||||||
\(398\) | −9.58417 | + | 12.6238i | −0.480411 | + | 0.632771i | ||||
\(399\) | 23.5409 | + | 25.8307i | 1.17852 | + | 1.29315i | ||||
\(400\) | 4.89924 | − | 5.10432i | 0.244962 | − | 0.255216i | ||||
\(401\) | −4.43442 | − | 7.68063i | −0.221444 | − | 0.383553i | 0.733803 | − | 0.679363i | \(-0.237744\pi\) |
−0.955247 | + | 0.295810i | \(0.904410\pi\) | |||||||
\(402\) | 15.7382 | − | 33.9644i | 0.784952 | − | 1.69399i | ||||
\(403\) | −1.22547 | + | 9.30834i | −0.0610448 | + | 0.463681i | ||||
\(404\) | 8.77247 | − | 11.6784i | 0.436447 | − | 0.581023i | ||||
\(405\) | 7.31407 | + | 14.4303i | 0.363439 | + | 0.717049i | ||||
\(406\) | 7.64566 | + | 27.9601i | 0.379448 | + | 1.38763i | ||||
\(407\) | −0.213342 | − | 0.796205i | −0.0105750 | − | 0.0394664i | ||||
\(408\) | 7.53180 | − | 4.04282i | 0.372880 | − | 0.200150i | ||||
\(409\) | −5.80153 | + | 21.6516i | −0.286867 | + | 1.07060i | 0.660597 | + | 0.750741i | \(0.270303\pi\) |
−0.947464 | + | 0.319863i | \(0.896363\pi\) | |||||||
\(410\) | −2.43015 | + | 0.0124536i | −0.120017 | + | 0.000615037i | ||||
\(411\) | −34.0179 | + | 12.2771i | −1.67798 | + | 0.605584i | ||||
\(412\) | −35.6265 | + | 0.365153i | −1.75519 | + | 0.0179898i | ||||
\(413\) | 15.9659 | + | 38.5451i | 0.785630 | + | 1.89668i | ||||
\(414\) | −29.0972 | + | 1.26166i | −1.43005 | + | 0.0620071i | ||||
\(415\) | 6.51847i | 0.319979i | ||||||||
\(416\) | −0.434235 | − | 16.9435i | −0.0212901 | − | 0.830726i | ||||
\(417\) | 0.140435 | − | 0.0307344i | 0.00687715 | − | 0.00150507i | ||||
\(418\) | −1.12387 | + | 2.75307i | −0.0549700 | + | 0.134657i | ||||
\(419\) | −14.4071 | − | 11.0550i | −0.703835 | − | 0.540072i | 0.193675 | − | 0.981066i | \(-0.437959\pi\) |
−0.897510 | + | 0.440994i | \(0.854626\pi\) | |||||||
\(420\) | −16.3302 | + | 15.1919i | −0.796832 | + | 0.741287i | ||||
\(421\) | 17.3652 | + | 22.6308i | 0.846330 | + | 1.10296i | 0.993498 | + | 0.113848i | \(0.0363176\pi\) |
−0.147168 | + | 0.989112i | \(0.547016\pi\) | |||||||
\(422\) | −6.15053 | − | 3.50911i | −0.299403 | − | 0.170821i | ||||
\(423\) | −22.0191 | − | 8.14985i | −1.07061 | − | 0.396259i | ||||
\(424\) | 0.0105055 | + | 0.683288i | 0.000510190 | + | 0.0331834i | ||||
\(425\) | 2.98116 | − | 0.798800i | 0.144608 | − | 0.0387475i | ||||
\(426\) | −20.4288 | − | 12.9454i | −0.989778 | − | 0.627207i | ||||
\(427\) | 7.44484 | − | 0.980132i | 0.360281 | − | 0.0474319i | ||||
\(428\) | −22.0154 | − | 2.66913i | −1.06415 | − | 0.129017i | ||||
\(429\) | −0.163592 | − | 1.93015i | −0.00789828 | − | 0.0931883i | ||||
\(430\) | 17.8697 | − | 23.5370i | 0.861753 | − | 1.13505i | ||||
\(431\) | − | 21.6571i | − | 1.04318i | −0.853195 | − | 0.521592i | \(-0.825338\pi\) | ||
0.853195 | − | 0.521592i | \(-0.174662\pi\) | |||||||
\(432\) | −14.5142 | + | 14.8775i | −0.698312 | + | 0.715793i | ||||
\(433\) | − | 8.69884i | − | 0.418039i | −0.977911 | − | 0.209020i | \(-0.932973\pi\) | ||
0.977911 | − | 0.209020i | \(-0.0670273\pi\) | |||||||
\(434\) | 12.6421 | + | 9.59811i | 0.606841 | + | 0.460724i | ||||
\(435\) | −1.50465 | − | 17.7527i | −0.0721425 | − | 0.851177i | ||||
\(436\) | 14.0471 | + | 17.9231i | 0.672733 | + | 0.858362i | ||||
\(437\) | 38.3399 | − | 5.04755i | 1.83405 | − | 0.241457i | ||||
\(438\) | 5.70763 | − | 9.00706i | 0.272721 | − | 0.430374i | ||||
\(439\) | −9.96373 | + | 2.66977i | −0.475543 | + | 0.127421i | −0.488626 | − | 0.872493i | \(-0.662502\pi\) |
0.0130837 | + | 0.999914i | \(0.495835\pi\) | |||||||
\(440\) | −1.76426 | − | 0.699201i | −0.0841076 | − | 0.0333331i | ||||
\(441\) | −13.4582 | + | 11.1689i | −0.640864 | + | 0.531851i | ||||
\(442\) | 3.66396 | − | 6.42194i | 0.174277 | − | 0.305460i | ||||
\(443\) | 0.369827 | + | 0.481968i | 0.0175710 | + | 0.0228990i | 0.802056 | − | 0.597249i | \(-0.203739\pi\) |
−0.784485 | + | 0.620148i | \(0.787073\pi\) | |||||||
\(444\) | −0.276077 | + | 7.64499i | −0.0131021 | + | 0.362815i | ||||
\(445\) | 16.2708 | + | 12.4850i | 0.771308 | + | 0.591846i | ||||
\(446\) | −5.74519 | − | 2.34531i | −0.272042 | − | 0.111054i | ||||
\(447\) | 29.1739 | − | 6.38473i | 1.37988 | − | 0.301987i | ||||
\(448\) | −25.2445 | − | 13.5577i | −1.19269 | − | 0.640543i | ||||
\(449\) | − | 14.5892i | − | 0.688509i | −0.938876 | − | 0.344254i | \(-0.888132\pi\) | ||
0.938876 | − | 0.344254i | \(-0.111868\pi\) | |||||||
\(450\) | −6.33023 | + | 4.03013i | −0.298410 | + | 0.189982i | ||||
\(451\) | −0.136550 | − | 0.329661i | −0.00642989 | − | 0.0155231i | ||||
\(452\) | −3.39304 | − | 3.32419i | −0.159595 | − | 0.156357i | ||||
\(453\) | −23.2847 | + | 8.40349i | −1.09401 | + | 0.394831i | ||||
\(454\) | −0.0791980 | − | 15.4545i | −0.00371695 | − | 0.725316i | ||||
\(455\) | −4.99298 | + | 18.6341i | −0.234075 | + | 0.873579i | ||||
\(456\) | 17.4701 | − | 21.3636i | 0.818112 | − | 1.00044i | ||||
\(457\) | −9.70874 | − | 36.2335i | −0.454156 | − | 1.69493i | −0.690558 | − | 0.723277i | \(-0.742635\pi\) |
0.236403 | − | 0.971655i | \(-0.424032\pi\) | |||||||
\(458\) | 17.9741 | − | 4.91501i | 0.839875 | − | 0.229663i | ||||
\(459\) | −8.77664 | + | 2.27531i | −0.409659 | + | 0.106203i | ||||
\(460\) | 3.47193 | + | 24.4341i | 0.161880 | + | 1.13924i | ||||
\(461\) | 1.17168 | − | 8.89981i | 0.0545707 | − | 0.414505i | −0.942255 | − | 0.334895i | \(-0.891299\pi\) |
0.996826 | − | 0.0796102i | \(-0.0253676\pi\) | |||||||
\(462\) | −2.97138 | − | 1.37686i | −0.138241 | − | 0.0640573i | ||||
\(463\) | −5.93404 | − | 10.2781i | −0.275778 | − | 0.477662i | 0.694553 | − | 0.719442i | \(-0.255602\pi\) |
−0.970331 | + | 0.241779i | \(0.922269\pi\) | |||||||
\(464\) | 20.9630 | − | 9.19099i | 0.973185 | − | 0.426681i | ||||
\(465\) | −6.57159 | − | 7.21080i | −0.304750 | − | 0.334393i | ||||
\(466\) | −12.0524 | − | 9.15040i | −0.558318 | − | 0.423884i | ||||
\(467\) | −6.62579 | − | 15.9961i | −0.306605 | − | 0.740209i | −0.999810 | − | 0.0194696i | \(-0.993802\pi\) |
0.693206 | − | 0.720740i | \(-0.256198\pi\) | |||||||
\(468\) | −3.80627 | + | 17.5697i | −0.175945 | + | 0.812159i | ||||
\(469\) | −50.5718 | − | 20.9475i | −2.33519 | − | 0.967268i | ||||
\(470\) | −5.05081 | + | 19.2438i | −0.232976 | + | 0.887650i | ||||
\(471\) | 16.2101 | + | 10.3889i | 0.746923 | + | 0.478696i | ||||
\(472\) | 28.2747 | − | 16.9092i | 1.30145 | − | 0.778309i | ||||
\(473\) | 4.19123 | + | 1.12304i | 0.192713 | + | 0.0516373i | ||||
\(474\) | −9.85548 | + | 31.5225i | −0.452677 | + | 1.44788i | ||||
\(475\) | 7.90492 | − | 6.06566i | 0.362703 | − | 0.278311i | ||||
\(476\) | −6.36060 | − | 10.7607i | −0.291538 | − | 0.493214i | ||||
\(477\) | 0.160717 | − | 0.706780i | 0.00735871 | − | 0.0323612i | ||||
\(478\) | 3.31698 | − | 2.57232i | 0.151715 | − | 0.117655i | ||||
\(479\) | −2.87274 | + | 4.97574i | −0.131259 | + | 0.227347i | −0.924162 | − | 0.382000i | \(-0.875235\pi\) |
0.792903 | + | 0.609348i | \(0.208569\pi\) | |||||||
\(480\) | 13.7477 | + | 11.0090i | 0.627495 | + | 0.502490i | ||||
\(481\) | 3.30835 | + | 5.73023i | 0.150848 | + | 0.261276i | ||||
\(482\) | 4.22242 | + | 1.72369i | 0.192326 | + | 0.0785118i | ||||
\(483\) | 3.59673 | + | 42.4362i | 0.163657 | + | 1.93091i | ||||
\(484\) | 0.222620 | + | 21.7202i | 0.0101191 | + | 0.987282i | ||||
\(485\) | 11.3599 | + | 4.70540i | 0.515824 | + | 0.213661i | ||||
\(486\) | 18.6922 | − | 11.6877i | 0.847895 | − | 0.530165i | ||||
\(487\) | 14.3845 | − | 14.3845i | 0.651823 | − | 0.651823i | −0.301609 | − | 0.953432i | \(-0.597524\pi\) |
0.953432 | + | 0.301609i | \(0.0975237\pi\) | |||||||
\(488\) | −1.62256 | − | 5.70327i | −0.0734497 | − | 0.258175i | ||||
\(489\) | 3.26042 | + | 6.30490i | 0.147441 | + | 0.285117i | ||||
\(490\) | 10.5328 | + | 10.4254i | 0.475822 | + | 0.470970i | ||||
\(491\) | −3.20510 | − | 24.3451i | −0.144644 | − | 1.09868i | −0.897663 | − | 0.440682i | \(-0.854737\pi\) |
0.753019 | − | 0.657999i | \(-0.228597\pi\) | |||||||
\(492\) | 0.313475 | + | 3.29668i | 0.0141326 | + | 0.148626i | ||||
\(493\) | 9.89951 | + | 1.30330i | 0.445851 | + | 0.0586975i | ||||
\(494\) | 2.99431 | − | 23.6812i | 0.134720 | − | 1.06547i | ||||
\(495\) | 1.64256 | + | 1.16347i | 0.0738278 | + | 0.0522939i | ||||
\(496\) | 6.04322 | − | 10.9810i | 0.271349 | − | 0.493061i | ||||
\(497\) | −17.6827 | + | 30.6274i | −0.793180 | + | 1.37383i | ||||
\(498\) | 8.84685 | − | 0.795507i | 0.396437 | − | 0.0356475i | ||||
\(499\) | −28.7306 | − | 22.0457i | −1.28616 | − | 0.986902i | −0.999584 | − | 0.0288436i | \(-0.990818\pi\) |
−0.286572 | − | 0.958059i | \(-0.592516\pi\) | |||||||
\(500\) | 15.0110 | + | 19.1531i | 0.671314 | + | 0.856551i | ||||
\(501\) | 6.04960 | − | 33.7730i | 0.270276 | − | 1.50887i | ||||
\(502\) | 8.50835 | − | 32.4172i | 0.379746 | − | 1.44685i | ||||
\(503\) | 2.08249 | − | 2.08249i | 0.0928537 | − | 0.0928537i | −0.659154 | − | 0.752008i | \(-0.729086\pi\) |
0.752008 | + | 0.659154i | \(0.229086\pi\) | |||||||
\(504\) | 22.6113 | + | 20.3093i | 1.00719 | + | 0.904648i | ||||
\(505\) | 9.28275 | + | 9.28275i | 0.413077 | + | 0.413077i | ||||
\(506\) | −3.12887 | + | 1.82790i | −0.139095 | + | 0.0812599i | ||||
\(507\) | −2.36529 | − | 6.55383i | −0.105046 | − | 0.291066i | ||||
\(508\) | 8.13828 | + | 29.1731i | 0.361078 | + | 1.29435i | ||||
\(509\) | −15.4752 | + | 20.1677i | −0.685928 | + | 0.893919i | −0.998431 | − | 0.0559978i | \(-0.982166\pi\) |
0.312503 | + | 0.949917i | \(0.398833\pi\) | |||||||
\(510\) | 2.64515 | + | 7.21330i | 0.117129 | + | 0.319410i | ||||
\(511\) | −13.5036 | − | 7.79633i | −0.597366 | − | 0.344889i | ||||
\(512\) | −7.68611 | + | 21.2820i | −0.339681 | + | 0.940541i | ||||
\(513\) | −23.3667 | + | 17.6297i | −1.03167 | + | 0.778370i | ||||
\(514\) | −27.7348 | + | 21.5083i | −1.22333 | + | 0.948692i | ||||
\(515\) | 4.17973 | − | 31.7482i | 0.184181 | − | 1.39899i | ||||
\(516\) | −34.1251 | − | 21.3802i | −1.50227 | − | 0.941213i | ||||
\(517\) | −2.89626 | + | 0.381300i | −0.127377 | + | 0.0167696i | ||||
\(518\) | 11.1863 | − | 0.0573252i | 0.491498 | − | 0.00251873i | ||||
\(519\) | −0.750747 | + | 16.1873i | −0.0329541 | + | 0.710542i | ||||
\(520\) | 15.1320 | + | 1.75596i | 0.663582 | + | 0.0770039i | ||||
\(521\) | −14.6256 | − | 14.6256i | −0.640759 | − | 0.640759i | 0.309983 | − | 0.950742i | \(-0.399677\pi\) |
−0.950742 | + | 0.309983i | \(0.899677\pi\) | |||||||
\(522\) | −23.9103 | + | 4.20863i | −1.04652 | + | 0.184207i | ||||
\(523\) | −2.24769 | + | 5.42640i | −0.0982845 | + | 0.237280i | −0.965373 | − | 0.260875i | \(-0.915989\pi\) |
0.867088 | + | 0.498155i | \(0.165989\pi\) | |||||||
\(524\) | 17.6673 | + | 7.10676i | 0.771797 | + | 0.310460i | ||||
\(525\) | 6.26965 | + | 9.00588i | 0.273630 | + | 0.393049i | ||||
\(526\) | −5.71744 | + | 2.40264i | −0.249292 | + | 0.104760i | ||||
\(527\) | 4.73515 | − | 2.73384i | 0.206266 | − | 0.119088i | ||||
\(528\) | −0.733646 | + | 2.47977i | −0.0319278 | + | 0.107918i | ||||
\(529\) | 20.8923 | + | 12.0622i | 0.908360 | + | 0.524442i | ||||
\(530\) | −0.609348 | − | 0.0770475i | −0.0264684 | − | 0.00334673i | ||||
\(531\) | −33.3828 | + | 10.3268i | −1.44869 | + | 0.448144i | ||||
\(532\) | −32.2659 | − | 24.2372i | −1.39890 | − | 1.05082i | ||||
\(533\) | 1.74365 | + | 2.27237i | 0.0755259 | + | 0.0984273i | ||||
\(534\) | 14.9589 | − | 23.6063i | 0.647336 | − | 1.02154i | ||||
\(535\) | 5.15876 | − | 19.2527i | 0.223032 | − | 0.832368i | ||||
\(536\) | −10.5442 | + | 41.9188i | −0.455439 | + | 1.81062i | ||||
\(537\) | 10.3132 | + | 19.9433i | 0.445047 | + | 0.860618i | ||||
\(538\) | 32.7522 | − | 19.1340i | 1.41205 | − | 0.824924i | ||||
\(539\) | −0.832713 | + | 2.01035i | −0.0358675 | + | 0.0865918i | ||||
\(540\) | −11.4034 | − | 14.7964i | −0.490726 | − | 0.636738i | ||||
\(541\) | −7.12482 | + | 2.95120i | −0.306320 | + | 0.126882i | −0.530548 | − | 0.847655i | \(-0.678014\pi\) |
0.224228 | + | 0.974537i | \(0.428014\pi\) | |||||||
\(542\) | 0.296388 | − | 0.0405665i | 0.0127310 | − | 0.00174248i | ||||
\(543\) | 29.4100 | + | 9.36070i | 1.26210 | + | 0.401706i | ||||
\(544\) | −7.67440 | + | 6.20753i | −0.329037 | + | 0.266146i | ||||
\(545\) | −17.7249 | + | 10.2335i | −0.759252 | + | 0.438354i | ||||
\(546\) | 25.8994 | + | 4.50238i | 1.10839 | + | 0.192684i | ||||
\(547\) | −22.1932 | − | 2.92179i | −0.948914 | − | 0.124927i | −0.359847 | − | 0.933011i | \(-0.617171\pi\) |
−0.589067 | + | 0.808084i | \(0.700505\pi\) | |||||||
\(548\) | 35.9496 | − | 21.2497i | 1.53569 | − | 0.907742i | ||||
\(549\) | 0.240245 | + | 6.28468i | 0.0102534 | + | 0.268224i | ||||
\(550\) | −0.462689 | + | 0.810971i | −0.0197291 | + | 0.0345799i | ||||
\(551\) | 31.1371 | − | 8.34315i | 1.32648 | − | 0.355430i | ||||
\(552\) | 32.7381 | − | 7.69400i | 1.39343 | − | 0.327478i | ||||
\(553\) | 46.6497 | + | 12.4997i | 1.98375 | + | 0.531543i | ||||
\(554\) | −7.97754 | + | 8.05973i | −0.338933 | + | 0.342425i | ||||
\(555\) | −6.76793 | − | 1.21231i | −0.287283 | − | 0.0514595i | ||||
\(556\) | −0.152704 | + | 0.0650935i | −0.00647608 | + | 0.00276058i | ||||
\(557\) | −14.2673 | + | 5.90970i | −0.604524 | + | 0.250402i | −0.663885 | − | 0.747835i | \(-0.731094\pi\) |
0.0593614 | + | 0.998237i | \(0.481094\pi\) | |||||||
\(558\) | −8.98449 | + | 9.79894i | −0.380344 | + | 0.414822i | ||||
\(559\) | −34.8304 | −1.47317 | ||||||||
\(560\) | 15.2562 | − | 20.7494i | 0.644693 | − | 0.876823i | ||||
\(561\) | −0.833779 | + | 0.759867i | −0.0352022 | + | 0.0320816i | ||||
\(562\) | 7.98431 | + | 18.9998i | 0.336798 | + | 0.801460i | ||||
\(563\) | −1.69387 | + | 2.20750i | −0.0713882 | + | 0.0930349i | −0.827682 | − | 0.561197i | \(-0.810341\pi\) |
0.756294 | + | 0.654232i | \(0.227008\pi\) | |||||||
\(564\) | 26.7340 | + | 4.50645i | 1.12571 | + | 0.189756i | ||||
\(565\) | 3.38703 | − | 2.59896i | 0.142493 | − | 0.109339i | ||||
\(566\) | −4.60465 | − | 16.8391i | −0.193548 | − | 0.707801i | ||||
\(567\) | −18.2026 | − | 26.6058i | −0.764438 | − | 1.11734i | ||||
\(568\) | 25.9620 | + | 10.2891i | 1.08934 | + | 0.431722i | ||||
\(569\) | 10.0065 | + | 37.3446i | 0.419493 | + | 1.56557i | 0.775663 | + | 0.631148i | \(0.217416\pi\) |
−0.356170 | + | 0.934421i | \(0.615918\pi\) | |||||||
\(570\) | 16.8013 | + | 18.2469i | 0.703730 | + | 0.764277i | ||||
\(571\) | −3.40097 | − | 25.8329i | −0.142326 | − | 1.08107i | −0.902296 | − | 0.431116i | \(-0.858120\pi\) |
0.759970 | − | 0.649958i | \(-0.225213\pi\) | |||||||
\(572\) | 0.601021 | + | 2.15447i | 0.0251299 | + | 0.0900829i | ||||
\(573\) | −1.58251 | + | 3.36981i | −0.0661103 | + | 0.140776i | ||||
\(574\) | 4.79770 | − | 0.656658i | 0.200252 | − | 0.0274084i | ||||
\(575\) | 12.1421 | 0.506360 | ||||||||
\(576\) | 13.2636 | − | 20.0019i | 0.552652 | − | 0.833412i | ||||
\(577\) | −9.44692 | −0.393280 | −0.196640 | − | 0.980476i | \(-0.563003\pi\) | ||||
−0.196640 | + | 0.980476i | \(0.563003\pi\) | |||||||
\(578\) | 19.5535 | − | 2.67628i | 0.813318 | − | 0.111318i | ||||
\(579\) | −12.0360 | − | 17.2888i | −0.500198 | − | 0.718497i | ||||
\(580\) | 5.52795 | + | 19.8159i | 0.229536 | + | 0.822812i | ||||
\(581\) | −1.69538 | − | 12.8777i | −0.0703362 | − | 0.534257i | ||||
\(582\) | 4.99982 | − | 15.9918i | 0.207249 | − | 0.662881i | ||||
\(583\) | −0.0233409 | − | 0.0871095i | −0.000966682 | − | 0.00360771i | ||||
\(584\) | −4.53648 | + | 11.4467i | −0.187721 | + | 0.473666i | ||||
\(585\) | −15.1530 | − | 5.60852i | −0.626499 | − | 0.231884i | ||||
\(586\) | 2.49288 | + | 9.11642i | 0.102980 | + | 0.376596i | ||||
\(587\) | −23.1833 | + | 17.7892i | −0.956878 | + | 0.734239i | −0.964046 | − | 0.265736i | \(-0.914385\pi\) |
0.00716752 | + | 0.999974i | \(0.497718\pi\) | |||||||
\(588\) | 12.8639 | − | 15.5673i | 0.530497 | − | 0.641986i | ||||
\(589\) | 10.7458 | − | 14.0042i | 0.442773 | − | 0.577033i | ||||
\(590\) | 11.4715 | + | 27.2980i | 0.472273 | + | 1.12384i | ||||
\(591\) | 19.4402 | + | 6.18750i | 0.799663 | + | 0.254520i | ||||
\(592\) | −1.33226 | − | 8.73238i | −0.0547555 | − | 0.358899i | ||||
\(593\) | −30.5010 | −1.25252 | −0.626262 | − | 0.779613i | \(-0.715416\pi\) | ||||
−0.626262 | + | 0.779613i | \(0.715416\pi\) | |||||||
\(594\) | 1.37860 | − | 2.37127i | 0.0565645 | − | 0.0972944i | ||||
\(595\) | 10.3795 | − | 4.29935i | 0.425520 | − | 0.176256i | ||||
\(596\) | −31.7225 | + | 13.5224i | −1.29940 | + | 0.553901i | ||||
\(597\) | −12.5180 | + | 14.8365i | −0.512329 | + | 0.607218i | ||||
\(598\) | 20.4624 | − | 20.6732i | 0.836772 | − | 0.845392i | ||||
\(599\) | −23.2141 | − | 6.22019i | −0.948501 | − | 0.254150i | −0.248775 | − | 0.968561i | \(-0.580028\pi\) |
−0.699726 | + | 0.714411i | \(0.746695\pi\) | |||||||
\(600\) | 6.31399 | − | 5.93451i | 0.257768 | − | 0.242275i | ||||
\(601\) | 1.49749 | − | 0.401250i | 0.0610837 | − | 0.0163673i | −0.228148 | − | 0.973627i | \(-0.573267\pi\) |
0.289232 | + | 0.957259i | \(0.406600\pi\) | |||||||
\(602\) | −29.1811 | + | 51.1467i | −1.18933 | + | 2.08458i | ||||
\(603\) | 21.3899 | − | 40.5510i | 0.871064 | − | 1.65136i | ||||
\(604\) | 24.6070 | − | 14.5451i | 1.00124 | − | 0.591832i | ||||
\(605\) | −19.3557 | − | 2.54823i | −0.786922 | − | 0.103600i | ||||
\(606\) | 11.4657 | − | 13.7314i | 0.465761 | − | 0.557799i | ||||
\(607\) | −20.6466 | + | 11.9203i | −0.838019 | + | 0.483831i | −0.856591 | − | 0.515997i | \(-0.827422\pi\) |
0.0185711 | + | 0.999828i | \(0.494088\pi\) | |||||||
\(608\) | −15.2210 | + | 27.9964i | −0.617293 | + | 1.13540i | ||||
\(609\) | 7.58982 | + | 34.6803i | 0.307555 | + | 1.40532i | ||||
\(610\) | 5.28017 | − | 0.722694i | 0.213788 | − | 0.0292610i | ||||
\(611\) | 21.6643 | − | 8.97365i | 0.876445 | − | 0.363035i | ||||
\(612\) | 9.46706 | − | 4.47029i | 0.382683 | − | 0.180701i | ||||
\(613\) | 4.96417 | − | 11.9846i | 0.200501 | − | 0.484052i | −0.791364 | − | 0.611345i | \(-0.790629\pi\) |
0.991865 | + | 0.127293i | \(0.0406288\pi\) | |||||||
\(614\) | −13.7181 | + | 8.01414i | −0.553616 | + | 0.323424i | ||||
\(615\) | −2.97316 | − | 0.137892i | −0.119889 | − | 0.00556033i | ||||
\(616\) | 3.66727 | + | 0.922457i | 0.147758 | + | 0.0371669i | ||||
\(617\) | −9.87603 | + | 36.8578i | −0.397594 | + | 1.48384i | 0.419723 | + | 0.907652i | \(0.362127\pi\) |
−0.817317 | + | 0.576188i | \(0.804539\pi\) | |||||||
\(618\) | −43.5987 | − | 1.79820i | −1.75380 | − | 0.0723343i | ||||
\(619\) | −23.7200 | − | 30.9125i | −0.953387 | − | 1.24248i | −0.970122 | − | 0.242618i | \(-0.921994\pi\) |
0.0167351 | − | 0.999860i | \(-0.494673\pi\) | |||||||
\(620\) | 9.00724 | + | 6.76597i | 0.361740 | + | 0.271728i | ||||
\(621\) | −35.6689 | − | 0.290251i | −1.43134 | − | 0.0116474i | ||||
\(622\) | −17.0734 | − | 2.15881i | −0.684582 | − | 0.0865604i | ||||
\(623\) | −35.3912 | − | 20.4331i | −1.41792 | − | 0.818636i | ||||
\(624\) | 0.536490 | − | 20.7514i | 0.0214768 | − | 0.830721i | ||||
\(625\) | −11.2823 | + | 6.51381i | −0.451290 | + | 0.260553i | ||||
\(626\) | 34.1403 | − | 14.3468i | 1.36452 | − | 0.573413i | ||||
\(627\) | −1.54810 | + | 3.29653i | −0.0618250 | + | 0.131651i | ||||
\(628\) | −20.6258 | − | 8.29687i | −0.823061 | − | 0.331081i | ||||
\(629\) | 1.47462 | − | 3.56005i | 0.0587969 | − | 0.141948i | ||||
\(630\) | −20.9311 | + | 17.5525i | −0.833914 | + | 0.699310i | ||||
\(631\) | 15.1208 | + | 15.1208i | 0.601949 | + | 0.601949i | 0.940829 | − | 0.338880i | \(-0.110048\pi\) |
−0.338880 | + | 0.940829i | \(0.610048\pi\) | |||||||
\(632\) | 4.39598 | − | 37.8824i | 0.174863 | − | 1.50688i | ||||
\(633\) | −7.30174 | − | 4.67961i | −0.290218 | − | 0.185998i | ||||
\(634\) | 5.36515 | − | 0.0274942i | 0.213077 | − | 0.00109193i | ||||
\(635\) | −26.9885 | + | 3.55311i | −1.07101 | + | 0.141001i | ||||
\(636\) | −0.0302045 | + | 0.836407i | −0.00119769 | + | 0.0331657i | ||||
\(637\) | 2.27989 | − | 17.3175i | 0.0903325 | − | 0.686144i | ||||
\(638\) | −2.38699 | + | 1.85111i | −0.0945018 | + | 0.0732862i | ||||
\(639\) | −24.1712 | − | 17.1210i | −0.956199 | − | 0.677297i | ||||
\(640\) | −17.9658 | − | 9.53035i | −0.710161 | − | 0.376720i | ||||
\(641\) | −4.72136 | − | 2.72588i | −0.186483 | − | 0.107666i | 0.403852 | − | 0.914824i | \(-0.367671\pi\) |
−0.590335 | + | 0.807158i | \(0.701004\pi\) | |||||||
\(642\) | −26.7593 | − | 4.65186i | −1.05611 | − | 0.183594i | ||||
\(643\) | −4.83137 | + | 6.29637i | −0.190531 | + | 0.248305i | −0.878844 | − | 0.477109i | \(-0.841685\pi\) |
0.688313 | + | 0.725413i | \(0.258351\pi\) | |||||||
\(644\) | −13.2141 | − | 47.3682i | −0.520707 | − | 1.86657i | ||||
\(645\) | 23.3399 | − | 27.6627i | 0.919007 | − | 1.08922i | ||||
\(646\) | −12.0028 | + | 7.01210i | −0.472246 | + | 0.275888i | ||||
\(647\) | 15.6783 | + | 15.6783i | 0.616379 | + | 0.616379i | 0.944601 | − | 0.328222i | \(-0.106449\pi\) |
−0.328222 | + | 0.944601i | \(0.606449\pi\) | |||||||
\(648\) | −18.6900 | + | 17.2825i | −0.734213 | + | 0.678919i | ||||
\(649\) | −3.07427 | + | 3.07427i | −0.120676 | + | 0.120676i | ||||
\(650\) | 1.90266 | − | 7.24923i | 0.0746286 | − | 0.284338i | ||||
\(651\) | 14.8581 | + | 12.5362i | 0.582334 | + | 0.491334i | ||||
\(652\) | −5.05585 | − | 6.45093i | −0.198002 | − | 0.252638i | ||||
\(653\) | −7.33777 | − | 5.63047i | −0.287149 | − | 0.220337i | 0.455135 | − | 0.890422i | \(-0.349591\pi\) |
−0.742284 | + | 0.670085i | \(0.766258\pi\) | |||||||
\(654\) | 16.0520 | + | 22.8073i | 0.627682 | + | 0.891836i | ||||
\(655\) | −8.55777 | + | 14.8225i | −0.334380 | + | 0.579163i | ||||
\(656\) | −1.06518 | − | 3.67249i | −0.0415884 | − | 0.143387i | ||||
\(657\) | 7.54867 | − | 10.6571i | 0.294502 | − | 0.415773i | ||||
\(658\) | 4.97313 | − | 39.3311i | 0.193873 | − | 1.53329i | ||||
\(659\) | 9.47523 | + | 1.24744i | 0.369102 | + | 0.0485933i | 0.312796 | − | 0.949820i | \(-0.398734\pi\) |
0.0563063 | + | 0.998414i | \(0.482068\pi\) | |||||||
\(660\) | −2.11385 | − | 0.966375i | −0.0822814 | − | 0.0376161i | ||||
\(661\) | 5.16633 | + | 39.2422i | 0.200947 | + | 1.52634i | 0.733350 | + | 0.679852i | \(0.237956\pi\) |
−0.532403 | + | 0.846491i | \(0.678711\pi\) | |||||||
\(662\) | −30.4053 | − | 30.0952i | −1.18173 | − | 1.16968i | ||||
\(663\) | 4.88612 | − | 7.62395i | 0.189761 | − | 0.296090i | ||||
\(664\) | −9.86521 | + | 2.80661i | −0.382844 | + | 0.108918i | ||||
\(665\) | 25.6470 | − | 25.6470i | 0.994549 | − | 0.994549i | ||||
\(666\) | −0.819387 | + | 9.33336i | −0.0317506 | + | 0.361661i | ||||
\(667\) | 36.2921 | + | 15.0327i | 1.40523 | + | 0.582067i | ||||
\(668\) | 0.406046 | + | 39.6164i | 0.0157104 | + | 1.53280i | ||||
\(669\) | −6.87929 | − | 3.23061i | −0.265969 | − | 0.124903i | ||||
\(670\) | −35.9679 | − | 14.6829i | −1.38956 | − | 0.567250i | ||||
\(671\) | 0.391256 | + | 0.677675i | 0.0151043 | + | 0.0261614i | ||||
\(672\) | −30.0229 | − | 18.1734i | −1.15816 | − | 0.701056i | ||||
\(673\) | −19.4808 | + | 33.7418i | −0.750931 | + | 1.30065i | 0.196441 | + | 0.980516i | \(0.437061\pi\) |
−0.947372 | + | 0.320134i | \(0.896272\pi\) | |||||||
\(674\) | −5.52990 | + | 4.28844i | −0.213004 | + | 0.165185i | ||||
\(675\) | −7.99658 | + | 4.53047i | −0.307789 | + | 0.174378i | ||||
\(676\) | 4.09394 | + | 6.92599i | 0.157459 | + | 0.266384i | ||||
\(677\) | −3.88150 | + | 2.97838i | −0.149178 | + | 0.114469i | −0.680654 | − | 0.732605i | \(-0.738304\pi\) |
0.531476 | + | 0.847073i | \(0.321638\pi\) | |||||||
\(678\) | −3.94065 | − | 4.27969i | −0.151340 | − | 0.164361i | ||||
\(679\) | −23.6660 | − | 6.34128i | −0.908217 | − | 0.243356i | ||||
\(680\) | −4.55337 | − | 7.61390i | −0.174614 | − | 0.291980i | ||||
\(681\) | 0.876919 | − | 18.9077i | 0.0336036 | − | 0.724546i | ||||
\(682\) | −0.419916 | + | 1.59990i | −0.0160794 | + | 0.0612633i | ||||
\(683\) | 32.7733 | + | 13.5751i | 1.25403 | + | 0.519438i | 0.908073 | − | 0.418811i | \(-0.137553\pi\) |
0.345961 | + | 0.938249i | \(0.387553\pi\) | |||||||
\(684\) | 22.7142 | − | 25.0295i | 0.868499 | − | 0.957028i | ||||
\(685\) | 14.3634 | + | 34.6763i | 0.548797 | + | 1.32491i | ||||
\(686\) | 4.72167 | + | 3.58477i | 0.180274 | + | 0.136867i | ||||
\(687\) | 22.2942 | − | 4.87911i | 0.850578 | − | 0.186150i | ||||
\(688\) | 43.3155 | + | 16.9102i | 1.65139 | + | 0.644697i | ||||
\(689\) | 0.361953 | + | 0.626921i | 0.0137893 | + | 0.0238838i | ||||
\(690\) | 2.70700 | + | 30.1047i | 0.103054 | + | 1.14606i | ||||
\(691\) | 0.828420 | − | 6.29248i | 0.0315146 | − | 0.239377i | −0.968437 | − | 0.249260i | \(-0.919813\pi\) |
0.999951 | + | 0.00988302i | \(0.00314591\pi\) | |||||||
\(692\) | −2.63235 | − | 18.5255i | −0.100067 | − | 0.704232i | ||||
\(693\) | −3.54760 | − | 1.87130i | −0.134762 | − | 0.0710846i | ||||
\(694\) | −19.7596 | + | 5.40325i | −0.750065 | + | 0.205105i | ||||
\(695\) | −0.0386149 | − | 0.144113i | −0.00146475 | − | 0.00546651i | ||||
\(696\) | 26.2195 | − | 9.92083i | 0.993848 | − | 0.376048i | ||||
\(697\) | 0.431726 | − | 1.61122i | 0.0163528 | − | 0.0610294i | ||||
\(698\) | 0.195776 | + | 38.2032i | 0.00741022 | + | 1.44601i | ||||
\(699\) | −14.1650 | − | 11.9515i | −0.535771 | − | 0.452047i | ||||
\(700\) | −9.05106 | − | 8.86740i | −0.342098 | − | 0.335156i | ||||
\(701\) | −9.80405 | − | 23.6691i | −0.370294 | − | 0.893968i | −0.993700 | − | 0.112070i | \(-0.964252\pi\) |
0.623406 | − | 0.781898i | \(-0.285748\pi\) | |||||||
\(702\) | −5.76260 | + | 21.2500i | −0.217495 | + | 0.802031i | ||||
\(703\) | − | 12.4403i | − | 0.469193i | ||||||
\(704\) | 0.298564 | − | 2.97112i | 0.0112525 | − | 0.111978i | ||||
\(705\) | −7.39031 | + | 23.2193i | −0.278335 | + | 0.874489i | ||||
\(706\) | −28.6941 | − | 11.7136i | −1.07992 | − | 0.440846i | ||||
\(707\) | −20.7531 | − | 15.9244i | −0.780499 | − | 0.598898i | ||||
\(708\) | 35.6489 | − | 18.9005i | 1.33977 | − | 0.710322i | ||||
\(709\) | 0.914507 | + | 1.19181i | 0.0343450 | + | 0.0447593i | 0.810210 | − | 0.586140i | \(-0.199353\pi\) |
−0.775865 | + | 0.630899i | \(0.782686\pi\) | |||||||
\(710\) | −12.4384 | + | 21.8011i | −0.466804 | + | 0.818182i | ||||
\(711\) | −14.0407 | + | 37.9349i | −0.526567 | + | 1.42267i | ||||
\(712\) | −11.8895 | + | 30.0001i | −0.445578 | + | 1.12430i | ||||
\(713\) | 20.7777 | − | 5.56737i | 0.778132 | − | 0.208500i | ||||
\(714\) | −7.10177 | − | 13.5624i | −0.265777 | − | 0.507560i | ||||
\(715\) | −1.99313 | + | 0.262401i | −0.0745390 | + | 0.00981324i | ||||
\(716\) | −15.9924 | − | 20.4052i | −0.597664 | − | 0.762579i | ||||
\(717\) | 4.21916 | − | 2.93726i | 0.157567 | − | 0.109694i | ||||
\(718\) | −30.4121 | − | 23.0894i | −1.13497 | − | 0.861688i | ||||
\(719\) | − | 28.2447i | − | 1.05335i | −0.850067 | − | 0.526675i | \(-0.823438\pi\) | ||
0.850067 | − | 0.526675i | \(-0.176562\pi\) | |||||||
\(720\) | 16.1215 | + | 14.3316i | 0.600812 | + | 0.534108i | ||||
\(721\) | 63.8079i | 2.37633i | ||||||||
\(722\) | −10.8893 | + | 14.3428i | −0.405258 | + | 0.533784i | ||||
\(723\) | 5.05593 | + | 2.37434i | 0.188032 | + | 0.0883025i | ||||
\(724\) | −35.3793 | − | 4.28936i | −1.31486 | − | 0.159413i | ||||
\(725\) | 10.0349 | − | 1.32112i | 0.372687 | − | 0.0490652i | ||||
\(726\) | −1.09630 | + | 26.5805i | −0.0406875 | + | 0.986496i | ||||
\(727\) | 2.96552 | − | 0.794608i | 0.109985 | − | 0.0294704i | −0.203407 | − | 0.979094i | \(-0.565201\pi\) |
0.313392 | + | 0.949624i | \(0.398535\pi\) | |||||||
\(728\) | −30.3510 | + | 0.466643i | −1.12488 | + | 0.0172949i | ||||
\(729\) | 23.5993 | − | 13.1177i | 0.874048 | − | 0.485840i | ||||
\(730\) | −9.61213 | − | 5.48408i | −0.355761 | − | 0.202975i | ||||
\(731\) | 12.3482 | + | 16.0925i | 0.456716 | + | 0.595204i | ||||
\(732\) | −1.62522 | − | 7.07804i | −0.0600700 | − | 0.261612i | ||||
\(733\) | −3.87335 | − | 2.97212i | −0.143065 | − | 0.109778i | 0.534749 | − | 0.845011i | \(-0.320406\pi\) |
−0.677815 | + | 0.735233i | \(0.737073\pi\) | |||||||
\(734\) | 10.2383 | − | 25.0801i | 0.377901 | − | 0.925723i | ||||
\(735\) | 12.2260 | + | 13.4152i | 0.450962 | + | 0.494826i | ||||
\(736\) | −35.4842 | + | 15.7749i | −1.30797 | + | 0.581471i | ||||
\(737\) | − | 5.70423i | − | 0.210118i | ||||||
\(738\) | 0.175695 | + | 4.05199i | 0.00646742 | + | 0.149156i | ||||
\(739\) | −4.13487 | − | 9.98247i | −0.152104 | − | 0.367211i | 0.829400 | − | 0.558656i | \(-0.188683\pi\) |
−0.981503 | + | 0.191445i | \(0.938683\pi\) | |||||||
\(740\) | 7.93890 | − | 0.0813694i | 0.291840 | − | 0.00299120i | ||||
\(741\) | 5.15455 | − | 28.7763i | 0.189357 | − | 1.05712i | ||||
\(742\) | 1.22385 | − | 0.00627172i | 0.0449289 | − | 0.000230242i | ||||
\(743\) | −4.20238 | + | 15.6835i | −0.154170 | + | 0.575371i | 0.845005 | + | 0.534759i | \(0.179598\pi\) |
−0.999175 | + | 0.0406123i | \(0.987069\pi\) | |||||||
\(744\) | 8.08352 | − | 13.0503i | 0.296356 | − | 0.478448i | ||||
\(745\) | −8.02183 | − | 29.9379i | −0.293897 | − | 1.09684i | ||||
\(746\) | 3.39749 | + | 12.4246i | 0.124391 | + | 0.454896i | ||||
\(747\) | 10.8709 | − | 0.415563i | 0.397746 | − | 0.0152046i | ||||
\(748\) | 0.782343 | − | 1.04150i | 0.0286053 | − | 0.0380810i | ||||
\(749\) | −5.18406 | + | 39.3768i | −0.189421 | + | 1.43880i | ||||
\(750\) | 17.1535 | + | 24.3724i | 0.626357 | + | 0.889954i | ||||
\(751\) | −13.2004 | − | 22.8638i | −0.481691 | − | 0.834314i | 0.518088 | − | 0.855327i | \(-0.326644\pi\) |
−0.999779 | + | 0.0210138i | \(0.993311\pi\) | |||||||
\(752\) | −31.2987 | + | 0.641657i | −1.14135 | + | 0.0233988i | ||||
\(753\) | 12.4494 | − | 39.1141i | 0.453680 | − | 1.42540i | ||||
\(754\) | 14.6620 | − | 19.3120i | 0.533957 | − | 0.703300i | ||||
\(755\) | 9.83154 | + | 23.7354i | 0.357806 | + | 0.863821i | ||||
\(756\) | 26.3767 | + | 26.2655i | 0.959310 | + | 0.955267i | ||||
\(757\) | −22.3440 | − | 9.25519i | −0.812107 | − | 0.336386i | −0.0623125 | − | 0.998057i | \(-0.519848\pi\) |
−0.749794 | + | 0.661671i | \(0.769848\pi\) | |||||||
\(758\) | 38.3350 | + | 10.0616i | 1.39239 | + | 0.365452i | ||||
\(759\) | −3.94217 | + | 2.03859i | −0.143092 | + | 0.0739962i | ||||
\(760\) | −22.9878 | − | 17.0842i | −0.833857 | − | 0.619709i | ||||
\(761\) | 0.526190 | + | 0.140992i | 0.0190744 | + | 0.00511096i | 0.268344 | − | 0.963323i | \(-0.413524\pi\) |
−0.249269 | + | 0.968434i | \(0.580190\pi\) | |||||||
\(762\) | 8.11592 | + | 36.1951i | 0.294009 | + | 1.31121i | ||||
\(763\) | 32.3552 | − | 24.8270i | 1.17134 | − | 0.898797i | ||||
\(764\) | 1.07000 | − | 4.16353i | 0.0387113 | − | 0.150631i | ||||
\(765\) | 2.78083 | + | 8.98942i | 0.100541 | + | 0.325013i | ||||
\(766\) | −15.0528 | − | 19.4105i | −0.543881 | − | 0.701329i | ||||
\(767\) | 17.4497 | − | 30.2237i | 0.630072 | − | 1.09132i | ||||
\(768\) | −10.7420 | + | 25.5462i | −0.387620 | + | 0.921819i | ||||
\(769\) | 8.15656 | + | 14.1276i | 0.294133 | + | 0.509454i | 0.974783 | − | 0.223155i | \(-0.0716358\pi\) |
−0.680650 | + | 0.732609i | \(0.738302\pi\) | |||||||
\(770\) | −1.28454 | + | 3.14665i | −0.0462914 | + | 0.113398i | ||||
\(771\) | −35.2783 | + | 24.5598i | −1.27052 | + | 0.884499i | ||||
\(772\) | 17.3755 | + | 17.0229i | 0.625358 | + | 0.612669i | ||||
\(773\) | 19.7624 | + | 8.18587i | 0.710806 | + | 0.294425i | 0.708638 | − | 0.705572i | \(-0.249310\pi\) |
0.00216775 | + | 0.999998i | \(0.499310\pi\) | |||||||
\(774\) | −40.3921 | − | 28.3009i | −1.45186 | − | 1.01725i | ||||
\(775\) | 3.91911 | − | 3.91911i | 0.140779 | − | 0.140779i | ||||
\(776\) | −2.23014 | + | 19.2182i | −0.0800573 | + | 0.689895i | ||||
\(777\) | 13.6858 | + | 0.634733i | 0.490976 | + | 0.0227709i | ||||
\(778\) | 10.5784 | − | 10.6874i | 0.379253 | − | 0.383160i | ||||
\(779\) | −0.702908 | − | 5.33911i | −0.0251843 | − | 0.191294i | ||||
\(780\) | 18.3977 | + | 3.10122i | 0.658742 | + | 0.111042i | ||||
\(781\) | −3.65386 | − | 0.481040i | −0.130745 | − | 0.0172130i | ||||
\(782\) | −16.8060 | − | 2.12500i | −0.600982 | − | 0.0759897i | ||||
\(783\) | −29.5104 | + | 3.64108i | −1.05462 | + | 0.130122i | ||||
\(784\) | −11.2430 | + | 20.4293i | −0.401535 | + | 0.729618i | ||||
\(785\) | 9.99087 | − | 17.3047i | 0.356589 | − | 0.617631i | ||||
\(786\) | 21.1614 | + | 9.80566i | 0.754803 | + | 0.349756i | ||||
\(787\) | −0.323640 | − | 0.248338i | −0.0115365 | − | 0.00885229i | 0.602977 | − | 0.797759i | \(-0.293981\pi\) |
−0.614514 | + | 0.788906i | \(0.710648\pi\) | |||||||
\(788\) | −23.3860 | − | 2.83530i | −0.833091 | − | 0.101003i | ||||
\(789\) | −7.14452 | + | 2.57847i | −0.254352 | + | 0.0917959i | ||||
\(790\) | 33.1536 | + | 8.70162i | 1.17955 | + | 0.309590i | ||||
\(791\) | −6.01535 | + | 6.01535i | −0.213881 | + | 0.213881i | ||||
\(792\) | −1.05359 | + | 2.98684i | −0.0374377 | + | 0.106133i | ||||
\(793\) | −4.44157 | − | 4.44157i | −0.157725 | − | 0.157725i | ||||
\(794\) | −4.85427 | − | 8.30922i | −0.172272 | − | 0.294883i | ||||
\(795\) | −0.740452 | − | 0.132634i | −0.0262611 | − | 0.00470403i | ||||
\(796\) | 11.0079 | − | 19.5258i | 0.390166 | − | 0.692073i | ||||
\(797\) | 32.6419 | − | 42.5398i | 1.15624 | − | 1.50684i | 0.329582 | − | 0.944127i | \(-0.393092\pi\) |
0.826655 | − | 0.562710i | \(-0.190241\pi\) | |||||||
\(798\) | −37.9380 | − | 31.6781i | −1.34299 | − | 1.12139i | ||||
\(799\) | −11.8266 | − | 6.82808i | −0.418395 | − | 0.241560i | ||||
\(800\) | −5.88569 | + | 8.09147i | −0.208090 | + | 0.286077i | ||||
\(801\) | 19.7840 | − | 27.9308i | 0.699035 | − | 0.986887i | ||||
\(802\) | 7.68624 | + | 9.91132i | 0.271410 | + | 0.349981i | ||||
\(803\) | 0.212091 | − | 1.61099i | 0.00748452 | − | 0.0568506i | ||||
\(804\) | −15.5381 | + | 50.6074i | −0.547987 | + | 1.78479i | ||||
\(805\) | 43.8211 | − | 5.76915i | 1.54449 | − | 0.203336i | ||||
\(806\) | −0.0680413 | − | 13.2774i | −0.00239665 | − | 0.467676i | ||||
\(807\) | 41.2656 | − | 21.3395i | 1.45262 | − | 0.751185i | ||||
\(808\) | −10.0519 | + | 18.0455i | −0.353626 | + | 0.634840i | ||||
\(809\) | −4.28313 | − | 4.28313i | −0.150587 | − | 0.150587i | 0.627793 | − | 0.778380i | \(-0.283958\pi\) |
−0.778380 | + | 0.627793i | \(0.783958\pi\) | |||||||
\(810\) | −13.0155 | − | 18.8164i | −0.457317 | − | 0.661141i | ||||
\(811\) | −20.1294 | + | 48.5966i | −0.706838 | + | 1.70646i | 0.000916625 | 1.00000i | \(0.499708\pi\) | |
−0.707755 | + | 0.706458i | \(0.750292\pi\) | |||||||
\(812\) | −16.0747 | − | 37.7100i | −0.564113 | − | 1.32336i | ||||
\(813\) | 0.365075 | − | 0.0309424i | 0.0128038 | − | 0.00108520i | ||||
\(814\) | 0.451617 | + | 1.07469i | 0.0158292 | + | 0.0376678i | ||||
\(815\) | 6.37958 | − | 3.68325i | 0.223467 | − | 0.129019i | ||||
\(816\) | −9.77788 | + | 7.10901i | −0.342294 | + | 0.248865i | ||||
\(817\) | 56.7123 | + | 32.7429i | 1.98411 | + | 1.14553i | ||||
\(818\) | 3.97659 | − | 31.4498i | 0.139038 | − | 1.09962i | ||||
\(819\) | 31.3945 | + | 7.13889i | 1.09701 | + | 0.249453i | ||||
\(820\) | 3.40262 | − | 0.483491i | 0.118825 | − | 0.0168842i | ||||
\(821\) | −28.2276 | − | 36.7869i | −0.985149 | − | 1.28387i | −0.958759 | − | 0.284219i | \(-0.908266\pi\) |
−0.0263897 | − | 0.999652i | \(-0.508401\pi\) | |||||||
\(822\) | 45.3097 | − | 23.7258i | 1.58036 | − | 0.827533i | ||||
\(823\) | −9.61044 | + | 35.8666i | −0.334999 | + | 1.25023i | 0.568872 | + | 0.822426i | \(0.307380\pi\) |
−0.903870 | + | 0.427806i | \(0.859287\pi\) | |||||||
\(824\) | 49.8481 | − | 7.34390i | 1.73654 | − | 0.255837i | ||||
\(825\) | −0.617025 | + | 0.962763i | −0.0214821 | + | 0.0335191i | ||||
\(826\) | −29.7626 | − | 50.9456i | −1.03557 | − | 1.77262i | ||||
\(827\) | 8.99079 | − | 21.7057i | 0.312640 | − | 0.754781i | −0.686965 | − | 0.726691i | \(-0.741057\pi\) |
0.999605 | − | 0.0280903i | \(-0.00894260\pi\) | |||||||
\(828\) | 40.5276 | − | 7.34787i | 1.40843 | − | 0.255356i | ||||
\(829\) | 31.9484 | − | 13.2335i | 1.10961 | − | 0.459617i | 0.248809 | − | 0.968553i | \(-0.419961\pi\) |
0.860805 | + | 0.508935i | \(0.169961\pi\) | |||||||
\(830\) | −1.25008 | − | 9.13336i | −0.0433908 | − | 0.317024i | ||||
\(831\) | −10.2654 | + | 9.35537i | −0.356101 | + | 0.324534i | ||||
\(832\) | 3.85777 | + | 23.6572i | 0.133744 | + | 0.820165i | ||||
\(833\) | −8.80939 | + | 5.08610i | −0.305227 | + | 0.176223i | ||||
\(834\) | −0.190877 | + | 0.0699954i | −0.00660953 | + | 0.00242374i | ||||
\(835\) | −35.3037 | − | 4.64782i | −1.22173 | − | 0.160844i | ||||
\(836\) | 1.04673 | − | 4.07299i | 0.0362021 | − | 0.140867i | ||||
\(837\) | −11.6066 | + | 11.4192i | −0.401182 | + | 0.394705i | ||||
\(838\) | 22.3067 | + | 12.7268i | 0.770570 | + | 0.439639i | ||||
\(839\) | 45.1551 | − | 12.0993i | 1.55893 | − | 0.417713i | 0.626604 | − | 0.779338i | \(-0.284444\pi\) |
0.932324 | + | 0.361625i | \(0.117778\pi\) | |||||||
\(840\) | 19.9676 | − | 24.4178i | 0.688949 | − | 0.842494i | ||||
\(841\) | 3.61760 | + | 0.969334i | 0.124745 | + | 0.0334253i | ||||
\(842\) | −28.6713 | − | 28.3790i | −0.988080 | − | 0.978004i | ||||
\(843\) | 8.56861 | + | 23.7422i | 0.295119 | + | 0.817726i | ||||
\(844\) | 9.29077 | + | 3.73727i | 0.319802 | + | 0.128642i | ||||
\(845\) | −6.68069 | + | 2.76723i | −0.229823 | + | 0.0951956i | ||||
\(846\) | 32.4150 | + | 7.19645i | 1.11445 | + | 0.247419i | ||||
\(847\) | 38.9013 | 1.33667 | ||||||||
\(848\) | −0.145757 | − | 0.955375i | −0.00500532 | − | 0.0328077i | ||||
\(849\) | −4.57102 | − | 20.8865i | −0.156877 | − | 0.716822i | ||||
\(850\) | −4.02387 | + | 1.69095i | −0.138018 | + | 0.0579991i | ||||
\(851\) | 9.22867 | − | 12.0270i | 0.316355 | − | 0.412281i | ||||
\(852\) | 31.1064 | + | 14.2207i | 1.06569 | + | 0.487194i | ||||
\(853\) | 10.2164 | − | 7.83935i | 0.349804 | − | 0.268414i | −0.418882 | − | 0.908041i | \(-0.637578\pi\) |
0.768686 | + | 0.639627i | \(0.220911\pi\) | |||||||
\(854\) | −10.2434 | + | 2.80105i | −0.350521 | + | 0.0958498i | ||||
\(855\) | 19.4004 | + | 23.3768i | 0.663478 | + | 0.799470i | ||||
\(856\) | 31.3587 | − | 0.482136i | 1.07182 | − | 0.0164791i | ||||
\(857\) | 2.96398 | + | 11.0617i | 0.101248 | + | 0.377862i | 0.997892 | − | 0.0648889i | \(-0.0206693\pi\) |
−0.896645 | + | 0.442751i | \(0.854003\pi\) | |||||||
\(858\) | 0.599369 | + | 2.67305i | 0.0204621 | + | 0.0912565i | ||||
\(859\) | 6.29643 | + | 47.8261i | 0.214831 | + | 1.63181i | 0.670678 | + | 0.741748i | \(0.266003\pi\) |
−0.455847 | + | 0.890058i | \(0.650663\pi\) | |||||||
\(860\) | −20.5243 | + | 36.4058i | −0.699873 | + | 1.24143i | ||||
\(861\) | 5.90955 | − | 0.500871i | 0.201397 | − | 0.0170696i | ||||
\(862\) | 4.15328 | + | 30.3448i | 0.141461 | + | 1.03355i | ||||
\(863\) | −22.5298 | −0.766924 | −0.383462 | − | 0.923557i | \(-0.625268\pi\) | ||||
−0.383462 | + | 0.923557i | \(0.625268\pi\) | |||||||
\(864\) | 17.4834 | − | 23.6290i | 0.594797 | − | 0.803876i | ||||
\(865\) | 16.8176 | 0.571815 | ||||||||
\(866\) | 1.66822 | + | 12.1884i | 0.0566883 | + | 0.414178i | ||||
\(867\) | 24.0850 | − | 2.04135i | 0.817968 | − | 0.0693278i | ||||
\(868\) | −19.5542 | − | 11.0240i | −0.663712 | − | 0.374177i | ||||
\(869\) | 0.656911 | + | 4.98973i | 0.0222842 | + | 0.169265i | ||||
\(870\) | 5.51276 | + | 24.5856i | 0.186900 | + | 0.833531i | ||||
\(871\) | 11.8510 | + | 44.2284i | 0.401555 | + | 1.49862i | ||||
\(872\) | −23.1193 | − | 22.4191i | −0.782918 | − | 0.759208i | ||||
\(873\) | 7.12303 | − | 19.2449i | 0.241078 | − | 0.651341i | ||||
\(874\) | −52.7520 | + | 14.4250i | −1.78436 | + | 0.487933i | ||||
\(875\) | 34.5755 | − | 26.5307i | 1.16886 | − | 0.896901i | ||||
\(876\) | −6.26992 | + | 13.7148i | −0.211841 | + | 0.463381i | ||||
\(877\) | −28.3159 | + | 36.9019i | −0.956159 | + | 1.24609i | 0.0130666 | + | 0.999915i | \(0.495841\pi\) |
−0.969225 | + | 0.246176i | \(0.920826\pi\) | |||||||
\(878\) | 13.4487 | − | 5.65154i | 0.453871 | − | 0.190730i | ||||
\(879\) | 2.47467 | + | 11.3076i | 0.0834686 | + | 0.381395i | ||||
\(880\) | 2.60608 | + | 0.641346i | 0.0878509 | + | 0.0216198i | ||||
\(881\) | −46.4573 | −1.56519 | −0.782594 | − | 0.622533i | \(-0.786104\pi\) | ||||
−0.782594 | + | 0.622533i | \(0.786104\pi\) | |||||||
\(882\) | 16.7150 | − | 18.2302i | 0.562823 | − | 0.613843i | ||||
\(883\) | 27.5668 | − | 11.4185i | 0.927695 | − | 0.384264i | 0.132892 | − | 0.991131i | \(-0.457574\pi\) |
0.794804 | + | 0.606867i | \(0.207574\pi\) | |||||||
\(884\) | −3.90219 | + | 9.70076i | −0.131245 | + | 0.326272i | ||||
\(885\) | 12.3110 | + | 34.1117i | 0.413828 | + | 1.14665i | ||||
\(886\) | −0.610612 | − | 0.604386i | −0.0205139 | − | 0.0203047i | ||||
\(887\) | 36.0907 | + | 9.67047i | 1.21181 | + | 0.324702i | 0.807470 | − | 0.589908i | \(-0.200836\pi\) |
0.404336 | + | 0.914611i | \(0.367503\pi\) | |||||||
\(888\) | −1.07929 | − | 10.7647i | −0.0362186 | − | 0.361240i | ||||
\(889\) | 52.3936 | − | 14.0388i | 1.75722 | − | 0.470847i | ||||
\(890\) | −25.1921 | − | 14.3730i | −0.844441 | − | 0.481785i | ||||
\(891\) | 1.83561 | − | 2.81349i | 0.0614951 | − | 0.0942555i | ||||
\(892\) | 8.49964 | + | 2.18436i | 0.284589 | + | 0.0731377i | ||||
\(893\) | −43.7106 | − | 5.75460i | −1.46272 | − | 0.192571i | ||||
\(894\) | −39.6526 | + | 14.5408i | −1.32618 | + | 0.486316i | ||||
\(895\) | 20.1796 | − | 11.6507i | 0.674528 | − | 0.389439i | ||||
\(896\) | 37.9714 | + | 14.1552i | 1.26854 | + | 0.472891i | ||||
\(897\) | 26.3307 | − | 23.9966i | 0.879157 | − | 0.801223i | ||||
\(898\) | 2.79785 | + | 20.4417i | 0.0933653 | + | 0.682149i | ||||
\(899\) | 16.5661 | − | 6.86191i | 0.552511 | − | 0.228858i | ||||
\(900\) | 8.09672 | − | 6.86079i | 0.269891 | − | 0.228693i | ||||
\(901\) | 0.161332 | − | 0.389490i | 0.00537475 | − | 0.0129758i | ||||
\(902\) | 0.254548 | + | 0.435718i | 0.00847551 | + | 0.0145078i | ||||
\(903\) | −38.9148 | + | 60.7199i | −1.29500 | + | 2.02063i | ||||
\(904\) | 5.39166 | + | 4.00699i | 0.179324 | + | 0.133271i | ||||
\(905\) | 8.29025 | − | 30.9396i | 0.275577 | − | 1.02847i | ||||
\(906\) | 31.0138 | − | 16.2400i | 1.03037 | − | 0.539537i | ||||
\(907\) | 11.0026 | + | 14.3388i | 0.365334 | + | 0.476113i | 0.939462 | − | 0.342653i | \(-0.111326\pi\) |
−0.574128 | + | 0.818766i | \(0.694659\pi\) | |||||||
\(908\) | 3.07475 | + | 21.6389i | 0.102039 | + | 0.718112i | ||||
\(909\) | 14.8891 | − | 16.0727i | 0.493841 | − | 0.533098i | ||||
\(910\) | 3.42238 | − | 27.0667i | 0.113451 | − | 0.897251i | ||||
\(911\) | −14.1772 | − | 8.18524i | −0.469713 | − | 0.271189i | 0.246406 | − | 0.969167i | \(-0.420750\pi\) |
−0.716120 | + | 0.697978i | \(0.754084\pi\) | |||||||
\(912\) | −20.3812 | + | 33.2840i | −0.674890 | + | 1.10214i | ||||
\(913\) | 1.17221 | − | 0.676773i | 0.0387944 | − | 0.0223979i | ||||
\(914\) | 20.5521 | + | 48.9067i | 0.679802 | + | 1.61769i | ||||
\(915\) | 6.50384 | − | 0.551240i | 0.215010 | − | 0.0182234i | ||||
\(916\) | −24.2419 | + | 10.3336i | −0.800973 | + | 0.341433i | ||||
\(917\) | 13.0513 | − | 31.5086i | 0.430992 | − | 1.04051i | ||||
\(918\) | 11.8610 | − | 4.87119i | 0.391473 | − | 0.160773i | ||||
\(919\) | 4.28077 | + | 4.28077i | 0.141209 | + | 0.141209i | 0.774178 | − | 0.632968i | \(-0.218164\pi\) |
−0.632968 | + | 0.774178i | \(0.718164\pi\) | |||||||
\(920\) | −9.55053 | − | 33.5700i | −0.314872 | − | 1.10677i | ||||
\(921\) | −17.2839 | + | 8.93790i | −0.569522 | + | 0.294514i | ||||
\(922\) | 0.0650550 | + | 12.6947i | 0.00214247 | + | 0.418077i | ||||
\(923\) | 29.3300 | − | 3.86137i | 0.965410 | − | 0.127099i | ||||
\(924\) | 4.42739 | + | 1.35935i | 0.145651 | + | 0.0447194i | ||||
\(925\) | 0.509844 | − | 3.87265i | 0.0167636 | − | 0.127332i | ||||
\(926\) | 10.2856 | + | 13.2631i | 0.338005 | + | 0.435853i | ||||
\(927\) | −53.2132 | − | 4.94657i | −1.74775 | − | 0.162467i | ||||
\(928\) | −27.6098 | + | 16.8981i | −0.906335 | + | 0.554709i | ||||
\(929\) | 12.3092 | + | 7.10671i | 0.403851 | + | 0.233164i | 0.688144 | − | 0.725574i | \(-0.258426\pi\) |
−0.284293 | + | 0.958737i | \(0.591759\pi\) | |||||||
\(930\) | 10.5906 | + | 8.84316i | 0.347281 | + | 0.289979i | ||||
\(931\) | −19.9918 | + | 26.0538i | −0.655204 | + | 0.853878i | ||||
\(932\) | 18.6421 | + | 10.5097i | 0.610641 | + | 0.344258i | ||||
\(933\) | −20.7469 | − | 3.71629i | −0.679222 | − | 0.121666i | ||||
\(934\) | 12.3514 | + | 21.1422i | 0.404149 | + | 0.691795i | ||||
\(935\) | 0.827851 | + | 0.827851i | 0.0270736 | + | 0.0270736i | ||||
\(936\) | 1.96374 | − | 25.3477i | 0.0641868 | − | 0.828516i | ||||
\(937\) | −29.7411 | + | 29.7411i | −0.971600 | + | 0.971600i | −0.999608 | − | 0.0280080i | \(-0.991084\pi\) |
0.0280080 | + | 0.999608i | \(0.491084\pi\) | |||||||
\(938\) | 74.8760 | + | 19.6523i | 2.44479 | + | 0.641669i | ||||
\(939\) | 42.6618 | − | 15.3967i | 1.39221 | − | 0.502452i | ||||
\(940\) | 3.38647 | − | 27.9321i | 0.110454 | − | 0.911044i | ||||
\(941\) | −24.6561 | − | 18.9193i | −0.803767 | − | 0.616752i | 0.122992 | − | 0.992408i | \(-0.460751\pi\) |
−0.926759 | + | 0.375656i | \(0.877418\pi\) | |||||||
\(942\) | −24.7051 | − | 11.4477i | −0.804937 | − | 0.372987i | ||||
\(943\) | 3.28120 | − | 5.68321i | 0.106851 | − | 0.185071i | ||||
\(944\) | −36.3743 | + | 29.1147i | −1.18388 | + | 0.947603i | ||||
\(945\) | −26.7073 | + | 20.1501i | −0.868787 | + | 0.655481i | ||||
\(946\) | −6.08792 | − | 0.769772i | −0.197935 | − | 0.0250275i | ||||
\(947\) | −13.1263 | − | 1.72811i | −0.426548 | − | 0.0561562i | −0.0858037 | − | 0.996312i | \(-0.527346\pi\) |
−0.340745 | + | 0.940156i | \(0.610679\pi\) | |||||||
\(948\) | 7.76379 | − | 46.0578i | 0.252156 | − | 1.49589i | ||||
\(949\) | 1.70248 | + | 12.9316i | 0.0552649 | + | 0.419778i | ||||
\(950\) | −9.91274 | + | 10.0149i | −0.321612 | + | 0.324925i | ||||
\(951\) | 6.56397 | + | 0.304429i | 0.212851 | + | 0.00987179i | ||||
\(952\) | 10.9758 | + | 13.8575i | 0.355727 | + | 0.449124i | ||||
\(953\) | 25.0621 | − | 25.0621i | 0.811841 | − | 0.811841i | −0.173069 | − | 0.984910i | \(-0.555368\pi\) |
0.984910 | + | 0.173069i | \(0.0553683\pi\) | |||||||
\(954\) | −0.0896459 | + | 1.02113i | −0.00290239 | + | 0.0330602i | ||||
\(955\) | 3.56960 | + | 1.47858i | 0.115510 | + | 0.0478456i | ||||
\(956\) | −4.15428 | + | 4.24032i | −0.134359 | + | 0.137142i | ||||
\(957\) | −3.03622 | + | 2.11373i | −0.0981470 | + | 0.0683273i | ||||
\(958\) | 3.07093 | − | 7.52268i | 0.0992171 | − | 0.243047i | ||||
\(959\) | −37.3948 | − | 64.7697i | −1.20754 | − | 2.09152i | ||||
\(960\) | −21.3739 | − | 12.7888i | −0.689839 | − | 0.412757i | ||||
\(961\) | −10.5905 | + | 18.3434i | −0.341630 | + | 0.591721i | ||||
\(962\) | −5.73441 | − | 7.39445i | −0.184885 | − | 0.238407i | ||||
\(963\) | −32.4368 | − | 7.37591i | −1.04526 | − | 0.237685i | ||||
\(964\) | −6.24680 | − | 1.60539i | −0.201196 | − | 0.0517062i | ||||
\(965\) | −17.3447 | + | 13.3091i | −0.558347 | + | 0.428435i | ||||
\(966\) | −13.1778 | − | 58.7698i | −0.423987 | − | 1.89089i | ||||
\(967\) | −9.98006 | − | 2.67415i | −0.320937 | − | 0.0859949i | 0.0947539 | − | 0.995501i | \(-0.469794\pi\) |
−0.415691 | + | 0.909506i | \(0.636460\pi\) | |||||||
\(968\) | −4.47731 | − | 30.3906i | −0.143906 | − | 0.976791i | ||||
\(969\) | −15.1228 | + | 7.82037i | −0.485814 | + | 0.251226i | ||||
\(970\) | −16.8192 | − | 4.41445i | −0.540033 | − | 0.141739i | ||||
\(971\) | −10.8133 | − | 4.47901i | −0.347015 | − | 0.143738i | 0.202367 | − | 0.979310i | \(-0.435137\pi\) |
−0.549382 | + | 0.835572i | \(0.685137\pi\) | |||||||
\(972\) | −23.9492 | + | 19.9609i | −0.768170 | + | 0.640246i | ||||
\(973\) | 0.113769 | + | 0.274662i | 0.00364725 | + | 0.00880525i | ||||
\(974\) | −17.3962 | + | 22.9134i | −0.557411 | + | 0.734192i | ||||
\(975\) | 2.78396 | − | 8.74681i | 0.0891582 | − | 0.280122i | ||||
\(976\) | 3.36719 | + | 7.67997i | 0.107781 | + | 0.245830i | ||||
\(977\) | −8.23848 | − | 14.2695i | −0.263572 | − | 0.456521i | 0.703616 | − | 0.710580i | \(-0.251567\pi\) |
−0.967189 | + | 0.254059i | \(0.918234\pi\) | |||||||
\(978\) | −5.77746 | − | 8.20885i | −0.184743 | − | 0.262490i | ||||
\(979\) | 0.555861 | − | 4.22219i | 0.0177654 | − | 0.134942i | ||||
\(980\) | −16.7573 | − | 12.5876i | −0.535293 | − | 0.402096i | ||||
\(981\) | 18.1964 | + | 28.9076i | 0.580968 | + | 0.922948i | ||||
\(982\) | 9.15961 | + | 33.4966i | 0.292295 | + | 1.06892i | ||||
\(983\) | −7.08900 | − | 26.4565i | −0.226104 | − | 0.843831i | −0.981959 | − | 0.189093i | \(-0.939445\pi\) |
0.755855 | − | 0.654739i | \(-0.227221\pi\) | |||||||
\(984\) | −1.07145 | − | 4.55902i | −0.0341564 | − | 0.145336i | ||||
\(985\) | 5.47992 | − | 20.4513i | 0.174605 | − | 0.651634i | ||||
\(986\) | −14.1206 | + | 0.0723625i | −0.449693 | + | 0.00230449i | ||||
\(987\) | 8.56100 | − | 47.7934i | 0.272500 | − | 1.52128i | ||||
\(988\) | 0.345971 | + | 33.7551i | 0.0110068 | + | 1.07389i | ||||
\(989\) | 30.5386 | + | 73.7266i | 0.971070 | + | 2.34437i | ||||
\(990\) | −2.52460 | − | 1.31519i | −0.0802371 | − | 0.0417994i | ||||
\(991\) | 61.2089i | 1.94437i | 0.234222 | + | 0.972183i | \(0.424746\pi\) | ||||
−0.234222 | + | 0.972183i | \(0.575254\pi\) | |||||||
\(992\) | −6.36159 | + | 16.5449i | −0.201981 | + | 0.525303i | ||||
\(993\) | −35.2931 | − | 38.7260i | −1.11999 | − | 1.22893i | ||||
\(994\) | 18.9026 | − | 46.3047i | 0.599555 | − | 1.46870i | ||||
\(995\) | 15.9830 | + | 12.2642i | 0.506696 | + | 0.388801i | ||||
\(996\) | −12.2432 | + | 2.81123i | −0.387941 | + | 0.0890771i | ||||
\(997\) | 6.28523 | + | 8.19108i | 0.199055 | + | 0.259414i | 0.882206 | − | 0.470863i | \(-0.156058\pi\) |
−0.683151 | + | 0.730277i | \(0.739391\pi\) | |||||||
\(998\) | 44.4836 | + | 25.3796i | 1.40810 | + | 0.803377i | ||||
\(999\) | −1.59031 | + | 11.3642i | −0.0503151 | + | 0.359548i |
(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 | 288.2.bf.a.11.3 | ✓ | 368 | |
3.2 | odd | 2 | 864.2.bn.a.683.44 | 368 | |||
9.4 | even | 3 | 864.2.bn.a.395.27 | 368 | |||
9.5 | odd | 6 | inner | 288.2.bf.a.203.20 | yes | 368 | |
32.3 | odd | 8 | inner | 288.2.bf.a.227.20 | yes | 368 | |
96.35 | even | 8 | 864.2.bn.a.35.27 | 368 | |||
288.67 | odd | 24 | 864.2.bn.a.611.44 | 368 | |||
288.131 | even | 24 | inner | 288.2.bf.a.131.3 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.bf.a.11.3 | ✓ | 368 | 1.1 | even | 1 | trivial | |
288.2.bf.a.131.3 | yes | 368 | 288.131 | even | 24 | inner | |
288.2.bf.a.203.20 | yes | 368 | 9.5 | odd | 6 | inner | |
288.2.bf.a.227.20 | yes | 368 | 32.3 | odd | 8 | inner | |
864.2.bn.a.35.27 | 368 | 96.35 | even | 8 | |||
864.2.bn.a.395.27 | 368 | 9.4 | even | 3 | |||
864.2.bn.a.611.44 | 368 | 288.67 | odd | 24 | |||
864.2.bn.a.683.44 | 368 | 3.2 | odd | 2 |