Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 205.52 | ||
Character | \(\chi\) | \(=\) | 576.205 |
Dual form | 576.2.bm.a.517.52 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.210640 | + | 1.39844i | 0.148945 | + | 0.988845i | ||||
\(3\) | 1.12489 | − | 1.31705i | 0.649457 | − | 0.760398i | ||||
\(4\) | −1.91126 | + | 0.589135i | −0.955631 | + | 0.294567i | ||||
\(5\) | −0.614322 | − | 0.700500i | −0.274733 | − | 0.313273i | 0.597976 | − | 0.801514i | \(-0.295972\pi\) |
−0.872709 | + | 0.488241i | \(0.837639\pi\) | |||||||
\(6\) | 2.07876 | + | 1.29567i | 0.848650 | + | 0.528955i | ||||
\(7\) | −2.61489 | − | 0.344257i | −0.988336 | − | 0.130117i | −0.381011 | − | 0.924570i | \(-0.624424\pi\) |
−0.607325 | + | 0.794454i | \(0.707757\pi\) | |||||||
\(8\) | −1.22646 | − | 2.54869i | −0.433618 | − | 0.901097i | ||||
\(9\) | −0.469232 | − | 2.96308i | −0.156411 | − | 0.987692i | ||||
\(10\) | 0.850205 | − | 1.00664i | 0.268858 | − | 0.318329i | ||||
\(11\) | −0.249773 | − | 0.506490i | −0.0753094 | − | 0.152712i | 0.855962 | − | 0.517039i | \(-0.172966\pi\) |
−0.931271 | + | 0.364327i | \(0.881299\pi\) | |||||||
\(12\) | −1.37405 | + | 3.17994i | −0.396653 | + | 0.917969i | ||||
\(13\) | −0.126180 | − | 0.371714i | −0.0349960 | − | 0.103095i | 0.928028 | − | 0.372510i | \(-0.121503\pi\) |
−0.963024 | + | 0.269415i | \(0.913170\pi\) | |||||||
\(14\) | −0.0693789 | − | 3.72928i | −0.0185423 | − | 0.996692i | ||||
\(15\) | −1.61364 | + | 0.0211041i | −0.416639 | + | 0.00544906i | ||||
\(16\) | 3.30584 | − | 2.25198i | 0.826460 | − | 0.562995i | ||||
\(17\) | −2.14512 | − | 2.14512i | −0.520267 | − | 0.520267i | 0.397385 | − | 0.917652i | \(-0.369918\pi\) |
−0.917652 | + | 0.397385i | \(0.869918\pi\) | |||||||
\(18\) | 4.04484 | − | 1.28033i | 0.953378 | − | 0.301778i | ||||
\(19\) | 1.03056 | − | 5.18096i | 0.236426 | − | 1.18859i | −0.662012 | − | 0.749493i | \(-0.730297\pi\) |
0.898438 | − | 0.439100i | \(-0.144703\pi\) | |||||||
\(20\) | 1.58682 | + | 0.976919i | 0.354823 | + | 0.218446i | ||||
\(21\) | −3.39488 | + | 3.05669i | −0.740823 | + | 0.667023i | ||||
\(22\) | 0.655683 | − | 0.455980i | 0.139792 | − | 0.0972152i | ||||
\(23\) | 0.0230979 | + | 0.175446i | 0.00481624 | + | 0.0365830i | 0.993684 | − | 0.112212i | \(-0.0357937\pi\) |
−0.988868 | + | 0.148795i | \(0.952460\pi\) | |||||||
\(24\) | −4.73638 | − | 1.25170i | −0.966809 | − | 0.255501i | ||||
\(25\) | 0.539322 | − | 4.09656i | 0.107864 | − | 0.819312i | ||||
\(26\) | 0.493241 | − | 0.254753i | 0.0967326 | − | 0.0499612i | ||||
\(27\) | −4.43035 | − | 2.71514i | −0.852621 | − | 0.522530i | ||||
\(28\) | 5.20055 | − | 0.882558i | 0.982812 | − | 0.166788i | ||||
\(29\) | 3.44929 | − | 0.226078i | 0.640516 | − | 0.0419817i | 0.258315 | − | 0.966061i | \(-0.416833\pi\) |
0.382201 | + | 0.924079i | \(0.375166\pi\) | |||||||
\(30\) | −0.369410 | − | 2.25213i | −0.0674447 | − | 0.411180i | ||||
\(31\) | −6.55413 | + | 3.78403i | −1.17716 | + | 0.679631i | −0.955355 | − | 0.295460i | \(-0.904527\pi\) |
−0.221801 | + | 0.975092i | \(0.571194\pi\) | |||||||
\(32\) | 3.84560 | + | 4.14866i | 0.679813 | + | 0.733386i | ||||
\(33\) | −0.948040 | − | 0.240784i | −0.165032 | − | 0.0419150i | ||||
\(34\) | 2.54797 | − | 3.45166i | 0.436973 | − | 0.591955i | ||||
\(35\) | 1.36523 | + | 2.04321i | 0.230766 | + | 0.345366i | ||||
\(36\) | 2.64248 | + | 5.38677i | 0.440413 | + | 0.897795i | ||||
\(37\) | −0.453900 | − | 2.28191i | −0.0746207 | − | 0.375144i | 0.925372 | − | 0.379061i | \(-0.123753\pi\) |
−0.999992 | + | 0.00391755i | \(0.998753\pi\) | |||||||
\(38\) | 7.46233 | + | 0.349852i | 1.21055 | + | 0.0567535i | ||||
\(39\) | −0.631505 | − | 0.251954i | −0.101122 | − | 0.0403449i | ||||
\(40\) | −1.03191 | + | 2.42485i | −0.163160 | + | 0.383402i | ||||
\(41\) | −0.149016 | − | 1.13189i | −0.0232723 | − | 0.176771i | 0.975861 | − | 0.218392i | \(-0.0700811\pi\) |
−0.999133 | + | 0.0416211i | \(0.986748\pi\) | |||||||
\(42\) | −4.98968 | − | 4.10366i | −0.769925 | − | 0.633209i | ||||
\(43\) | −4.73832 | + | 2.33668i | −0.722587 | + | 0.356340i | −0.766108 | − | 0.642712i | \(-0.777809\pi\) |
0.0435210 | + | 0.999053i | \(0.486142\pi\) | |||||||
\(44\) | 0.775773 | + | 0.820884i | 0.116952 | + | 0.123753i | ||||
\(45\) | −1.78737 | + | 2.14898i | −0.266446 | + | 0.320351i | ||||
\(46\) | −0.240485 | + | 0.0692570i | −0.0354576 | + | 0.0102114i | ||||
\(47\) | 5.24019 | − | 1.40411i | 0.764361 | − | 0.204810i | 0.144482 | − | 0.989507i | \(-0.453848\pi\) |
0.619879 | + | 0.784698i | \(0.287182\pi\) | |||||||
\(48\) | 0.752749 | − | 6.88719i | 0.108650 | − | 0.994080i | ||||
\(49\) | −0.0423382 | − | 0.0113445i | −0.00604831 | − | 0.00162064i | ||||
\(50\) | 5.84239 | − | 0.108691i | 0.826239 | − | 0.0153712i | ||||
\(51\) | −5.23825 | + | 0.412195i | −0.733501 | + | 0.0577189i | ||||
\(52\) | 0.460153 | + | 0.636106i | 0.0638117 | + | 0.0882121i | ||||
\(53\) | 1.39598 | − | 2.08923i | 0.191753 | − | 0.286978i | −0.723118 | − | 0.690724i | \(-0.757292\pi\) |
0.914871 | + | 0.403746i | \(0.132292\pi\) | |||||||
\(54\) | 2.86375 | − | 6.76749i | 0.389707 | − | 0.920939i | ||||
\(55\) | −0.201355 | + | 0.486114i | −0.0271507 | + | 0.0655475i | ||||
\(56\) | 2.32965 | + | 7.08675i | 0.311312 | + | 0.947007i | ||||
\(57\) | −5.66430 | − | 7.18531i | −0.750255 | − | 0.951718i | ||||
\(58\) | 1.04271 | + | 4.77599i | 0.136915 | + | 0.627119i | ||||
\(59\) | 5.10334 | + | 5.81925i | 0.664399 | + | 0.757602i | 0.981640 | − | 0.190743i | \(-0.0610898\pi\) |
−0.317241 | + | 0.948345i | \(0.602756\pi\) | |||||||
\(60\) | 3.07165 | − | 0.990986i | 0.396548 | − | 0.127936i | ||||
\(61\) | 0.478912 | + | 7.30678i | 0.0613183 | + | 0.935537i | 0.912087 | + | 0.409997i | \(0.134470\pi\) |
−0.850769 | + | 0.525540i | \(0.823863\pi\) | |||||||
\(62\) | −6.67229 | − | 8.36848i | −0.847382 | − | 1.06280i | ||||
\(63\) | 0.206930 | + | 7.90966i | 0.0260707 | + | 0.996523i | ||||
\(64\) | −4.99160 | + | 6.25171i | −0.623951 | + | 0.781464i | ||||
\(65\) | −0.182871 | + | 0.316741i | −0.0226823 | + | 0.0392869i | ||||
\(66\) | 0.137026 | − | 1.37649i | 0.0168667 | − | 0.169435i | ||||
\(67\) | −5.64192 | − | 2.78229i | −0.689271 | − | 0.339911i | 0.0636960 | − | 0.997969i | \(-0.479711\pi\) |
−0.752967 | + | 0.658059i | \(0.771378\pi\) | |||||||
\(68\) | 5.36364 | + | 2.83612i | 0.650437 | + | 0.343930i | ||||
\(69\) | 0.257053 | + | 0.166937i | 0.0309456 | + | 0.0200968i | ||||
\(70\) | −2.56974 | + | 2.33958i | −0.307142 | + | 0.279633i | ||||
\(71\) | 2.68474 | + | 6.48154i | 0.318620 | + | 0.769217i | 0.999328 | + | 0.0366618i | \(0.0116724\pi\) |
−0.680708 | + | 0.732555i | \(0.738328\pi\) | |||||||
\(72\) | −6.97646 | + | 4.83001i | −0.822184 | + | 0.569222i | ||||
\(73\) | 3.49286 | − | 8.43250i | 0.408808 | − | 0.986950i | −0.576644 | − | 0.816995i | \(-0.695638\pi\) |
0.985452 | − | 0.169954i | \(-0.0543619\pi\) | |||||||
\(74\) | 3.09550 | − | 1.11541i | 0.359845 | − | 0.129664i | ||||
\(75\) | −4.78869 | − | 5.31851i | −0.552950 | − | 0.614128i | ||||
\(76\) | 1.08262 | + | 10.5093i | 0.124185 | + | 1.20550i | ||||
\(77\) | 0.478767 | + | 1.41040i | 0.0545606 | + | 0.160730i | ||||
\(78\) | 0.219322 | − | 0.936192i | 0.0248333 | − | 0.106003i | ||||
\(79\) | 0.114207 | + | 0.426226i | 0.0128493 | + | 0.0479541i | 0.972053 | − | 0.234762i | \(-0.0754311\pi\) |
−0.959204 | + | 0.282716i | \(0.908764\pi\) | |||||||
\(80\) | −3.60836 | − | 0.932299i | −0.403427 | − | 0.104234i | ||||
\(81\) | −8.55964 | + | 2.78074i | −0.951072 | + | 0.308971i | ||||
\(82\) | 1.55148 | − | 0.446810i | 0.171333 | − | 0.0493419i | ||||
\(83\) | 8.40550 | + | 7.37142i | 0.922623 | + | 0.809119i | 0.981954 | − | 0.189119i | \(-0.0605633\pi\) |
−0.0593308 | + | 0.998238i | \(0.518897\pi\) | |||||||
\(84\) | 4.68770 | − | 7.84216i | 0.511469 | − | 0.855650i | ||||
\(85\) | −0.184862 | + | 2.82044i | −0.0200511 | + | 0.305920i | ||||
\(86\) | −4.26578 | − | 6.13405i | −0.459991 | − | 0.661451i | ||||
\(87\) | 3.58232 | − | 4.79719i | 0.384065 | − | 0.514313i | ||||
\(88\) | −0.984548 | + | 1.25778i | −0.104953 | + | 0.134080i | ||||
\(89\) | 13.4897 | − | 5.58763i | 1.42991 | − | 0.592287i | 0.472579 | − | 0.881288i | \(-0.343323\pi\) |
0.957329 | + | 0.289001i | \(0.0933231\pi\) | |||||||
\(90\) | −3.38171 | − | 2.04687i | −0.356463 | − | 0.215759i | ||||
\(91\) | 0.201982 | + | 1.01543i | 0.0211734 | + | 0.106446i | ||||
\(92\) | −0.147507 | − | 0.321715i | −0.0153787 | − | 0.0335411i | ||||
\(93\) | −2.38895 | + | 12.8887i | −0.247722 | + | 1.33650i | ||||
\(94\) | 3.06735 | + | 7.03233i | 0.316373 | + | 0.725329i | ||||
\(95\) | −4.26235 | + | 2.46087i | −0.437308 | + | 0.252480i | ||||
\(96\) | 9.78987 | − | 0.398045i | 0.999174 | − | 0.0406253i | ||||
\(97\) | 10.4183 | + | 6.01499i | 1.05781 | + | 0.610730i | 0.924827 | − | 0.380388i | \(-0.124210\pi\) |
0.132988 | + | 0.991118i | \(0.457543\pi\) | |||||||
\(98\) | 0.00694643 | − | 0.0615969i | 0.000701696 | − | 0.00622223i | ||||
\(99\) | −1.38357 | + | 0.977758i | −0.139054 | + | 0.0982684i | ||||
\(100\) | 1.38264 | + | 8.14733i | 0.138264 | + | 0.814733i | ||||
\(101\) | 11.4866 | + | 3.89918i | 1.14296 | + | 0.387983i | 0.827783 | − | 0.561049i | \(-0.189602\pi\) |
0.315179 | + | 0.949032i | \(0.397935\pi\) | |||||||
\(102\) | −1.67982 | − | 7.23854i | −0.166326 | − | 0.716723i | ||||
\(103\) | −9.48090 | − | 7.27495i | −0.934181 | − | 0.716822i | 0.0249787 | − | 0.999688i | \(-0.492048\pi\) |
−0.959159 | + | 0.282866i | \(0.908715\pi\) | |||||||
\(104\) | −0.792629 | + | 0.777485i | −0.0777237 | + | 0.0762387i | ||||
\(105\) | 4.22675 | + | 0.500321i | 0.412489 | + | 0.0488263i | ||||
\(106\) | 3.21572 | + | 1.51212i | 0.312338 | + | 0.146870i | ||||
\(107\) | −0.806799 | − | 0.539086i | −0.0779962 | − | 0.0521154i | 0.515961 | − | 0.856612i | \(-0.327435\pi\) |
−0.593957 | + | 0.804497i | \(0.702435\pi\) | |||||||
\(108\) | 10.0671 | + | 2.57928i | 0.968711 | + | 0.248191i | ||||
\(109\) | −0.642711 | + | 3.23113i | −0.0615605 | + | 0.309486i | −0.999281 | − | 0.0379040i | \(-0.987932\pi\) |
0.937721 | + | 0.347390i | \(0.112932\pi\) | |||||||
\(110\) | −0.722213 | − | 0.179187i | −0.0688604 | − | 0.0170848i | ||||
\(111\) | −3.51597 | − | 1.96910i | −0.333721 | − | 0.186898i | ||||
\(112\) | −9.41967 | + | 4.75063i | −0.890075 | + | 0.448892i | ||||
\(113\) | 16.4204 | + | 4.39984i | 1.54470 | + | 0.413902i | 0.927782 | − | 0.373122i | \(-0.121713\pi\) |
0.616922 | + | 0.787025i | \(0.288380\pi\) | |||||||
\(114\) | 8.85509 | − | 9.43470i | 0.829355 | − | 0.883640i | ||||
\(115\) | 0.108710 | − | 0.123960i | 0.0101373 | − | 0.0115594i | ||||
\(116\) | −6.45930 | + | 2.46419i | −0.599731 | + | 0.228794i | ||||
\(117\) | −1.04221 | + | 0.548301i | −0.0963524 | + | 0.0506905i | ||||
\(118\) | −7.06289 | + | 8.36248i | −0.650192 | + | 0.769829i | ||||
\(119\) | 4.87077 | + | 6.34772i | 0.446503 | + | 0.581894i | ||||
\(120\) | 2.03285 | + | 4.08677i | 0.185573 | + | 0.373070i | ||||
\(121\) | 6.50223 | − | 8.47387i | 0.591112 | − | 0.770352i | ||||
\(122\) | −10.1172 | + | 2.20883i | −0.915969 | + | 0.199978i | ||||
\(123\) | −1.65837 | − | 1.07699i | −0.149531 | − | 0.0971089i | ||||
\(124\) | 10.2974 | − | 11.0935i | 0.924729 | − | 0.996229i | ||||
\(125\) | −7.07441 | + | 4.72697i | −0.632755 | + | 0.422793i | ||||
\(126\) | −11.0176 | + | 1.95547i | −0.981524 | + | 0.174207i | ||||
\(127\) | −10.5189 | −0.933404 | −0.466702 | − | 0.884415i | \(-0.654558\pi\) | ||||
−0.466702 | + | 0.884415i | \(0.654558\pi\) | |||||||
\(128\) | −9.79407 | − | 5.66359i | −0.865681 | − | 0.500596i | ||||
\(129\) | −2.25258 | + | 8.86911i | −0.198329 | + | 0.780881i | ||||
\(130\) | −0.481463 | − | 0.189015i | −0.0422271 | − | 0.0165777i | ||||
\(131\) | −17.0296 | − | 8.39806i | −1.48788 | − | 0.733742i | −0.496908 | − | 0.867803i | \(-0.665531\pi\) |
−0.990973 | + | 0.134062i | \(0.957198\pi\) | |||||||
\(132\) | 1.95381 | − | 0.0983226i | 0.170057 | − | 0.00855789i | ||||
\(133\) | −4.47837 | + | 13.1929i | −0.388324 | + | 1.14397i | ||||
\(134\) | 2.70244 | − | 8.47595i | 0.233456 | − | 0.732210i | ||||
\(135\) | 0.819703 | + | 4.77143i | 0.0705488 | + | 0.410659i | ||||
\(136\) | −2.83634 | + | 8.09812i | −0.243214 | + | 0.694408i | ||||
\(137\) | −6.10730 | − | 7.95918i | −0.521781 | − | 0.679999i | 0.455915 | − | 0.890024i | \(-0.349312\pi\) |
−0.977696 | + | 0.210025i | \(0.932646\pi\) | |||||||
\(138\) | −0.179305 | + | 0.394637i | −0.0152635 | + | 0.0335937i | ||||
\(139\) | −22.5221 | − | 1.47618i | −1.91030 | − | 0.125208i | −0.936219 | − | 0.351417i | \(-0.885700\pi\) |
−0.974079 | + | 0.226209i | \(0.927367\pi\) | |||||||
\(140\) | −3.81304 | − | 3.10081i | −0.322261 | − | 0.262066i | ||||
\(141\) | 4.04538 | − | 8.48105i | 0.340683 | − | 0.714233i | ||||
\(142\) | −8.49852 | + | 5.11972i | −0.713180 | + | 0.429637i | ||||
\(143\) | −0.156753 | + | 0.156753i | −0.0131084 | + | 0.0131084i | ||||
\(144\) | −8.22400 | − | 8.73876i | −0.685333 | − | 0.728230i | ||||
\(145\) | −2.27734 | − | 2.27734i | −0.189123 | − | 0.189123i | ||||
\(146\) | 12.5281 | + | 3.10832i | 1.03683 | + | 0.257247i | ||||
\(147\) | −0.0625671 | + | 0.0430001i | −0.00516045 | + | 0.00354659i | ||||
\(148\) | 2.21187 | + | 4.09392i | 0.181815 | + | 0.336518i | ||||
\(149\) | 0.152878 | − | 2.33246i | 0.0125242 | − | 0.191083i | −0.987012 | − | 0.160644i | \(-0.948643\pi\) |
0.999537 | − | 0.0304388i | \(-0.00969046\pi\) | |||||||
\(150\) | 6.42891 | − | 7.81698i | 0.524919 | − | 0.638253i | ||||
\(151\) | 10.0293 | − | 7.69577i | 0.816174 | − | 0.626273i | −0.113963 | − | 0.993485i | \(-0.536354\pi\) |
0.930137 | + | 0.367212i | \(0.119688\pi\) | |||||||
\(152\) | −14.4686 | + | 3.72766i | −1.17356 | + | 0.302353i | ||||
\(153\) | −5.34959 | + | 7.36270i | −0.432489 | + | 0.595239i | ||||
\(154\) | −1.87151 | + | 0.966613i | −0.150811 | + | 0.0778919i | ||||
\(155\) | 6.67705 | + | 2.26655i | 0.536314 | + | 0.182054i | ||||
\(156\) | 1.35541 | + | 0.109508i | 0.108519 | + | 0.00876766i | ||||
\(157\) | 5.44722 | − | 11.0459i | 0.434736 | − | 0.881557i | −0.563718 | − | 0.825967i | \(-0.690630\pi\) |
0.998454 | − | 0.0555895i | \(-0.0177038\pi\) | |||||||
\(158\) | −0.571994 | + | 0.249492i | −0.0455054 | + | 0.0198485i | ||||
\(159\) | −1.18129 | − | 4.18874i | −0.0936826 | − | 0.332189i | ||||
\(160\) | 0.543697 | − | 5.24245i | 0.0429830 | − | 0.414452i | ||||
\(161\) | − | 0.466724i | − | 0.0367830i | ||||||
\(162\) | −5.69170 | − | 11.3844i | −0.447182 | − | 0.894443i | ||||
\(163\) | −1.49313 | − | 2.23463i | −0.116951 | − | 0.175030i | 0.768376 | − | 0.639999i | \(-0.221065\pi\) |
−0.885327 | + | 0.464969i | \(0.846065\pi\) | |||||||
\(164\) | 0.951641 | + | 2.07554i | 0.0743107 | + | 0.162072i | ||||
\(165\) | 0.413732 | + | 0.812020i | 0.0322090 | + | 0.0632157i | ||||
\(166\) | −8.53795 | + | 13.3073i | −0.662673 | + | 1.03285i | ||||
\(167\) | −10.7252 | − | 8.22974i | −0.829942 | − | 0.636837i | 0.103874 | − | 0.994590i | \(-0.466876\pi\) |
−0.933816 | + | 0.357754i | \(0.883543\pi\) | |||||||
\(168\) | 11.9542 | + | 4.90358i | 0.922287 | + | 0.378319i | ||||
\(169\) | 10.1913 | − | 7.82009i | 0.783949 | − | 0.601546i | ||||
\(170\) | −3.98316 | + | 0.335581i | −0.305494 | + | 0.0257379i | ||||
\(171\) | −15.8351 | − | 0.622549i | −1.21094 | − | 0.0476075i | ||||
\(172\) | 7.67954 | − | 7.25751i | 0.585560 | − | 0.553380i | ||||
\(173\) | −9.97519 | − | 8.74801i | −0.758400 | − | 0.665099i | 0.190140 | − | 0.981757i | \(-0.439106\pi\) |
−0.948540 | + | 0.316658i | \(0.897439\pi\) | |||||||
\(174\) | 7.46316 | + | 3.99918i | 0.565780 | + | 0.303177i | ||||
\(175\) | −2.82054 | + | 10.5264i | −0.213213 | + | 0.795721i | ||||
\(176\) | −1.96632 | − | 1.11189i | −0.148217 | − | 0.0838119i | ||||
\(177\) | 13.4049 | − | 0.175318i | 1.00758 | − | 0.0131777i | ||||
\(178\) | 10.6554 | + | 17.6876i | 0.798658 | + | 1.32574i | ||||
\(179\) | 4.81839 | + | 0.958437i | 0.360143 | + | 0.0716370i | 0.371846 | − | 0.928295i | \(-0.378725\pi\) |
−0.0117023 | + | 0.999932i | \(0.503725\pi\) | |||||||
\(180\) | 2.15010 | − | 5.16026i | 0.160259 | − | 0.384623i | ||||
\(181\) | −10.7495 | + | 16.0877i | −0.799003 | + | 1.19579i | 0.178306 | + | 0.983975i | \(0.442938\pi\) |
−0.977309 | + | 0.211818i | \(0.932062\pi\) | |||||||
\(182\) | −1.37747 | + | 0.496350i | −0.102105 | + | 0.0367919i | ||||
\(183\) | 10.1621 | + | 7.58859i | 0.751204 | + | 0.560965i | ||||
\(184\) | 0.418828 | − | 0.274046i | 0.0308764 | − | 0.0202030i | ||||
\(185\) | −1.31964 | + | 1.71978i | −0.0970216 | + | 0.126441i | ||||
\(186\) | −18.5273 | − | 0.625911i | −1.35849 | − | 0.0458940i | ||||
\(187\) | −0.550687 | + | 1.62227i | −0.0402702 | + | 0.118632i | ||||
\(188\) | −9.18817 | + | 5.77079i | −0.670116 | + | 0.420878i | ||||
\(189\) | 10.6502 | + | 8.62498i | 0.774686 | + | 0.627375i | ||||
\(190\) | −4.33920 | − | 5.44228i | −0.314798 | − | 0.394824i | ||||
\(191\) | 8.20211 | − | 14.2065i | 0.593484 | − | 1.02794i | −0.400275 | − | 0.916395i | \(-0.631085\pi\) |
0.993759 | − | 0.111549i | \(-0.0355813\pi\) | |||||||
\(192\) | 2.61878 | + | 13.6067i | 0.188994 | + | 0.981978i | ||||
\(193\) | −2.18935 | − | 3.79206i | −0.157593 | − | 0.272958i | 0.776407 | − | 0.630231i | \(-0.217040\pi\) |
−0.934000 | + | 0.357273i | \(0.883707\pi\) | |||||||
\(194\) | −6.21709 | + | 15.8363i | −0.446361 | + | 1.13698i | ||||
\(195\) | 0.211454 | + | 0.597149i | 0.0151425 | + | 0.0427628i | ||||
\(196\) | 0.0876027 | − | 0.00326062i | 0.00625734 | − | 0.000232902i | ||||
\(197\) | 1.09148 | − | 0.217109i | 0.0777646 | − | 0.0154683i | −0.156055 | − | 0.987748i | \(-0.549878\pi\) |
0.233819 | + | 0.972280i | \(0.424878\pi\) | |||||||
\(198\) | −1.65877 | − | 1.72888i | −0.117884 | − | 0.122866i | ||||
\(199\) | 3.11448 | + | 7.51902i | 0.220780 | + | 0.533009i | 0.994996 | − | 0.0999115i | \(-0.0318560\pi\) |
−0.774217 | + | 0.632921i | \(0.781856\pi\) | |||||||
\(200\) | −11.1023 | + | 3.64969i | −0.785051 | + | 0.258072i | ||||
\(201\) | −10.0110 | + | 4.30091i | −0.706119 | + | 0.303363i | ||||
\(202\) | −3.03322 | + | 16.8847i | −0.213417 | + | 1.18800i | ||||
\(203\) | −9.09734 | − | 0.596271i | −0.638508 | − | 0.0418500i | ||||
\(204\) | 9.76882 | − | 3.87385i | 0.683954 | − | 0.271224i | ||||
\(205\) | −0.701342 | + | 0.799727i | −0.0489838 | + | 0.0558554i | ||||
\(206\) | 8.17651 | − | 14.7909i | 0.569685 | − | 1.03053i | ||||
\(207\) | 0.509021 | − | 0.150766i | 0.0353794 | − | 0.0104789i | ||||
\(208\) | −1.25423 | − | 0.944674i | −0.0869649 | − | 0.0655013i | ||||
\(209\) | −2.88151 | + | 0.772097i | −0.199318 | + | 0.0534071i | ||||
\(210\) | 0.190656 | + | 6.01624i | 0.0131565 | + | 0.415160i | ||||
\(211\) | 22.1062 | − | 7.50404i | 1.52185 | − | 0.516600i | 0.569604 | − | 0.821919i | \(-0.307097\pi\) |
0.952250 | + | 0.305320i | \(0.0987634\pi\) | |||||||
\(212\) | −1.43725 | + | 4.81549i | −0.0987104 | + | 0.330730i | ||||
\(213\) | 11.5565 | + | 3.75510i | 0.791841 | + | 0.257295i | ||||
\(214\) | 0.583934 | − | 1.24181i | 0.0399169 | − | 0.0848885i | ||||
\(215\) | 4.54769 | + | 1.88372i | 0.310150 | + | 0.128468i | ||||
\(216\) | −1.48641 | + | 14.6216i | −0.101138 | + | 0.994872i | ||||
\(217\) | 18.4410 | − | 7.63852i | 1.25186 | − | 0.518536i | ||||
\(218\) | −4.65391 | − | 0.218187i | −0.315203 | − | 0.0147775i | ||||
\(219\) | −7.17692 | − | 14.0859i | −0.484971 | − | 0.951838i | ||||
\(220\) | 0.0984553 | − | 1.04772i | 0.00663786 | − | 0.0706370i | ||||
\(221\) | −0.526700 | + | 1.06804i | −0.0354297 | + | 0.0718443i | ||||
\(222\) | 2.01305 | − | 5.33164i | 0.135107 | − | 0.357837i | ||||
\(223\) | −13.1507 | − | 7.59257i | −0.880638 | − | 0.508436i | −0.00976897 | − | 0.999952i | \(-0.503110\pi\) |
−0.870869 | + | 0.491516i | \(0.836443\pi\) | |||||||
\(224\) | −8.62762 | − | 12.1722i | −0.576457 | − | 0.813287i | ||||
\(225\) | −12.3915 | + | 0.324182i | −0.826099 | + | 0.0216121i | ||||
\(226\) | −2.69410 | + | 23.8897i | −0.179209 | + | 1.58912i | ||||
\(227\) | 6.12440 | − | 0.401414i | 0.406490 | − | 0.0266428i | 0.139213 | − | 0.990262i | \(-0.455543\pi\) |
0.267277 | + | 0.963620i | \(0.413876\pi\) | |||||||
\(228\) | 15.0591 | + | 10.3960i | 0.997312 | + | 0.688490i | ||||
\(229\) | 17.6033 | − | 15.4377i | 1.16326 | − | 1.02015i | 0.163829 | − | 0.986489i | \(-0.447616\pi\) |
0.999433 | − | 0.0336643i | \(-0.0107177\pi\) | |||||||
\(230\) | 0.196250 | + | 0.125914i | 0.0129403 | + | 0.00830250i | ||||
\(231\) | 2.39613 | + | 0.955992i | 0.157654 | + | 0.0628997i | ||||
\(232\) | −4.80660 | − | 8.51387i | −0.315569 | − | 0.558963i | ||||
\(233\) | 10.3019 | + | 4.26717i | 0.674897 | + | 0.279552i | 0.693692 | − | 0.720272i | \(-0.255983\pi\) |
−0.0187947 | + | 0.999823i | \(0.505983\pi\) | |||||||
\(234\) | −0.986297 | − | 1.34197i | −0.0644763 | − | 0.0877275i | ||||
\(235\) | −4.20274 | − | 2.80818i | −0.274156 | − | 0.183185i | ||||
\(236\) | −13.1821 | − | 8.11555i | −0.858085 | − | 0.528277i | ||||
\(237\) | 0.689830 | + | 0.329042i | 0.0448093 | + | 0.0213736i | ||||
\(238\) | −7.85091 | + | 8.14856i | −0.508899 | + | 0.528193i | ||||
\(239\) | −4.77534 | + | 17.8218i | −0.308891 | + | 1.15280i | 0.620653 | + | 0.784085i | \(0.286868\pi\) |
−0.929544 | + | 0.368711i | \(0.879799\pi\) | |||||||
\(240\) | −5.28690 | + | 3.70365i | −0.341268 | + | 0.239069i | ||||
\(241\) | 3.68573 | + | 13.7553i | 0.237419 | + | 0.886059i | 0.977044 | + | 0.213040i | \(0.0683364\pi\) |
−0.739625 | + | 0.673020i | \(0.764997\pi\) | |||||||
\(242\) | 13.2198 | + | 7.30803i | 0.849802 | + | 0.469778i | ||||
\(243\) | −5.96632 | + | 14.4015i | −0.382739 | + | 0.923856i | ||||
\(244\) | −5.22000 | − | 13.6830i | −0.334176 | − | 0.875966i | ||||
\(245\) | 0.0180624 | + | 0.0366270i | 0.00115397 | + | 0.00234001i | ||||
\(246\) | 1.15678 | − | 2.54599i | 0.0737538 | − | 0.162327i | ||||
\(247\) | −2.05587 | + | 0.270661i | −0.130812 | + | 0.0172217i | ||||
\(248\) | 17.6827 | + | 12.0635i | 1.12285 | + | 0.766031i | ||||
\(249\) | 19.1638 | − | 2.77838i | 1.21446 | − | 0.176073i | ||||
\(250\) | −8.10054 | − | 8.89744i | −0.512323 | − | 0.562724i | ||||
\(251\) | −12.1737 | + | 2.42149i | −0.768395 | + | 0.152843i | −0.563697 | − | 0.825982i | \(-0.690621\pi\) |
−0.204698 | + | 0.978825i | \(0.565621\pi\) | |||||||
\(252\) | −5.05535 | − | 14.9955i | −0.318457 | − | 0.944629i | ||||
\(253\) | 0.0830923 | − | 0.0555205i | 0.00522397 | − | 0.00349055i | ||||
\(254\) | −2.21571 | − | 14.7101i | −0.139026 | − | 0.922992i | ||||
\(255\) | 3.50671 | + | 3.41617i | 0.219599 | + | 0.213929i | ||||
\(256\) | 5.85716 | − | 14.8894i | 0.366073 | − | 0.930586i | ||||
\(257\) | 8.78227 | + | 15.2113i | 0.547823 | + | 0.948857i | 0.998423 | + | 0.0561311i | \(0.0178765\pi\) |
−0.450601 | + | 0.892726i | \(0.648790\pi\) | |||||||
\(258\) | −12.8774 | − | 1.28191i | −0.801711 | − | 0.0798080i | ||||
\(259\) | 0.401336 | + | 6.12320i | 0.0249378 | + | 0.380477i | ||||
\(260\) | 0.162910 | − | 0.713111i | 0.0101033 | − | 0.0442253i | ||||
\(261\) | −2.28840 | − | 10.1144i | −0.141648 | − | 0.626067i | ||||
\(262\) | 8.15705 | − | 25.5838i | 0.503945 | − | 1.58057i | ||||
\(263\) | 22.7789 | + | 2.99889i | 1.40460 | + | 0.184920i | 0.794434 | − | 0.607351i | \(-0.207768\pi\) |
0.610170 | + | 0.792270i | \(0.291101\pi\) | |||||||
\(264\) | 0.549048 | + | 2.71157i | 0.0337916 | + | 0.166885i | ||||
\(265\) | −2.32109 | + | 0.305577i | −0.142583 | + | 0.0187715i | ||||
\(266\) | −19.3927 | − | 3.48378i | −1.18904 | − | 0.213604i | ||||
\(267\) | 7.81532 | − | 24.0521i | 0.478290 | − | 1.47196i | ||||
\(268\) | 12.4223 | + | 1.99383i | 0.758815 | + | 0.121792i | ||||
\(269\) | −19.7408 | − | 3.92668i | −1.20362 | − | 0.239414i | −0.447761 | − | 0.894153i | \(-0.647778\pi\) |
−0.755855 | + | 0.654740i | \(0.772778\pi\) | |||||||
\(270\) | −6.49989 | + | 2.15136i | −0.395571 | + | 0.130928i | ||||
\(271\) | 14.9319 | − | 14.9319i | 0.907050 | − | 0.907050i | −0.0889828 | − | 0.996033i | \(-0.528362\pi\) |
0.996033 | + | 0.0889828i | \(0.0283616\pi\) | |||||||
\(272\) | −11.9222 | − | 2.26065i | −0.722888 | − | 0.137072i | ||||
\(273\) | 1.56458 | + | 0.876232i | 0.0946927 | + | 0.0530319i | ||||
\(274\) | 9.84399 | − | 10.2172i | 0.594697 | − | 0.617244i | ||||
\(275\) | −2.20957 | + | 0.750049i | −0.133242 | + | 0.0452297i | ||||
\(276\) | −0.589645 | − | 0.167621i | −0.0354924 | − | 0.0100896i | ||||
\(277\) | −12.8767 | + | 6.35008i | −0.773685 | + | 0.381539i | −0.785874 | − | 0.618386i | \(-0.787787\pi\) |
0.0121890 | + | 0.999926i | \(0.496120\pi\) | |||||||
\(278\) | −2.67972 | − | 31.8067i | −0.160719 | − | 1.90764i | ||||
\(279\) | 14.2878 | + | 17.6448i | 0.855386 | + | 1.05637i | ||||
\(280\) | 3.53311 | − | 5.98546i | 0.211144 | − | 0.357700i | ||||
\(281\) | 2.22663 | − | 16.9130i | 0.132830 | − | 1.00894i | −0.787090 | − | 0.616838i | \(-0.788414\pi\) |
0.919920 | − | 0.392105i | \(-0.128253\pi\) | |||||||
\(282\) | 12.7124 | + | 3.87077i | 0.757010 | + | 0.230501i | ||||
\(283\) | 12.4471 | − | 10.9158i | 0.739901 | − | 0.648876i | −0.204050 | − | 0.978960i | \(-0.565411\pi\) |
0.943951 | + | 0.330085i | \(0.107077\pi\) | |||||||
\(284\) | −8.94974 | − | 10.8062i | −0.531069 | − | 0.641232i | ||||
\(285\) | −1.55361 | + | 8.38194i | −0.0920276 | + | 0.496503i | ||||
\(286\) | −0.252228 | − | 0.186191i | −0.0149146 | − | 0.0110097i | ||||
\(287\) | 3.01106i | 0.177737i | ||||||||
\(288\) | 10.4883 | − | 13.3415i | 0.618030 | − | 0.786155i | ||||
\(289\) | − | 7.79695i | − | 0.458644i | ||||||
\(290\) | 2.70502 | − | 3.66442i | 0.158844 | − | 0.215182i | ||||
\(291\) | 19.6415 | − | 6.95514i | 1.15140 | − | 0.407718i | ||||
\(292\) | −1.70788 | + | 18.1745i | −0.0999462 | + | 1.06358i | ||||
\(293\) | 10.9305 | − | 9.58583i | 0.638569 | − | 0.560010i | −0.277652 | − | 0.960682i | \(-0.589556\pi\) |
0.916222 | + | 0.400671i | \(0.131223\pi\) | |||||||
\(294\) | −0.0733121 | − | 0.0784387i | −0.00427565 | − | 0.00457464i | ||||
\(295\) | 0.941286 | − | 7.14978i | 0.0548038 | − | 0.416276i | ||||
\(296\) | −5.25918 | + | 3.95551i | −0.305684 | + | 0.229910i | ||||
\(297\) | −0.268610 | + | 2.92210i | −0.0155863 | + | 0.169557i | ||||
\(298\) | 3.29401 | − | 0.277520i | 0.190817 | − | 0.0160763i | ||||
\(299\) | 0.0623013 | − | 0.0307236i | 0.00360298 | − | 0.00177679i | ||||
\(300\) | 12.2857 | + | 7.34387i | 0.709318 | + | 0.423999i | ||||
\(301\) | 13.1946 | − | 4.47896i | 0.760524 | − | 0.258163i | ||||
\(302\) | 12.8746 | + | 12.4044i | 0.740852 | + | 0.713790i | ||||
\(303\) | 18.0566 | − | 10.7423i | 1.03733 | − | 0.617127i | ||||
\(304\) | −8.26056 | − | 19.4482i | −0.473776 | − | 1.11543i | ||||
\(305\) | 4.82419 | − | 4.82419i | 0.276232 | − | 0.276232i | ||||
\(306\) | −11.4231 | − | 5.93019i | −0.653016 | − | 0.339006i | ||||
\(307\) | −4.86736 | − | 0.968178i | −0.277795 | − | 0.0552569i | 0.0542266 | − | 0.998529i | \(-0.482731\pi\) |
−0.332022 | + | 0.943272i | \(0.607731\pi\) | |||||||
\(308\) | −1.74597 | − | 2.41359i | −0.0994856 | − | 0.137527i | ||||
\(309\) | −20.2465 | + | 4.30326i | −1.15178 | + | 0.244804i | ||||
\(310\) | −1.76318 | + | 9.81488i | −0.100142 | + | 0.557447i | ||||
\(311\) | 33.9175 | − | 4.46533i | 1.92329 | − | 0.253206i | 0.929882 | − | 0.367859i | \(-0.119909\pi\) |
0.993406 | + | 0.114654i | \(0.0365758\pi\) | |||||||
\(312\) | 0.132363 | + | 1.91852i | 0.00749356 | + | 0.108615i | ||||
\(313\) | 11.4246 | + | 1.50407i | 0.645755 | + | 0.0850152i | 0.446288 | − | 0.894889i | \(-0.352746\pi\) |
0.199467 | + | 0.979905i | \(0.436079\pi\) | |||||||
\(314\) | 16.5944 | + | 5.29090i | 0.936475 | + | 0.298583i | ||||
\(315\) | 5.41359 | − | 5.00403i | 0.305021 | − | 0.281945i | ||||
\(316\) | −0.469384 | − | 0.747346i | −0.0264049 | − | 0.0420415i | ||||
\(317\) | −1.71291 | − | 26.1339i | −0.0962066 | − | 1.46783i | −0.724189 | − | 0.689601i | \(-0.757786\pi\) |
0.627983 | − | 0.778227i | \(-0.283881\pi\) | |||||||
\(318\) | 5.60887 | − | 2.53428i | 0.314530 | − | 0.142115i | ||||
\(319\) | −0.976045 | − | 1.69056i | −0.0546480 | − | 0.0946532i | ||||
\(320\) | 7.44577 | − | 0.343944i | 0.416231 | − | 0.0192270i | ||||
\(321\) | −1.61756 | + | 0.456179i | −0.0902837 | + | 0.0254614i | ||||
\(322\) | 0.652684 | − | 0.0983108i | 0.0363727 | − | 0.00547864i | ||||
\(323\) | −13.3244 | + | 8.90309i | −0.741390 | + | 0.495381i | ||||
\(324\) | 14.7215 | − | 10.3575i | 0.817860 | − | 0.575417i | ||||
\(325\) | −1.59080 | + | 0.316430i | −0.0882418 | + | 0.0175524i | ||||
\(326\) | 2.81048 | − | 2.55875i | 0.155658 | − | 0.141716i | ||||
\(327\) | 3.53257 | + | 4.48115i | 0.195351 | + | 0.247808i | ||||
\(328\) | −2.70206 | + | 1.76800i | −0.149196 | + | 0.0976217i | ||||
\(329\) | −14.1859 | + | 1.86761i | −0.782094 | + | 0.102965i | ||||
\(330\) | −1.04841 | + | 0.749623i | −0.0577131 | + | 0.0412654i | ||||
\(331\) | 7.68150 | + | 15.5765i | 0.422214 | + | 0.856165i | 0.999222 | + | 0.0394267i | \(0.0125532\pi\) |
−0.577009 | + | 0.816738i | \(0.695780\pi\) | |||||||
\(332\) | −20.4079 | − | 9.13675i | −1.12003 | − | 0.501444i | ||||
\(333\) | −6.54849 | + | 2.41568i | −0.358855 | + | 0.132379i | ||||
\(334\) | 9.24963 | − | 16.7321i | 0.506117 | − | 0.915538i | ||||
\(335\) | 1.51696 | + | 5.66139i | 0.0828806 | + | 0.309315i | ||||
\(336\) | −4.33932 | + | 17.7501i | −0.236729 | + | 0.968348i | ||||
\(337\) | 3.83680 | − | 14.3191i | 0.209004 | − | 0.780012i | −0.779188 | − | 0.626790i | \(-0.784368\pi\) |
0.988192 | − | 0.153222i | \(-0.0489649\pi\) | |||||||
\(338\) | 13.0826 | + | 12.6047i | 0.711601 | + | 0.685608i | ||||
\(339\) | 24.2660 | − | 16.6771i | 1.31795 | − | 0.905778i | ||||
\(340\) | −1.30830 | − | 5.49951i | −0.0709527 | − | 0.298253i | ||||
\(341\) | 3.55362 | + | 2.37445i | 0.192439 | + | 0.128584i | ||||
\(342\) | −2.46492 | − | 22.2756i | −0.133288 | − | 1.20453i | ||||
\(343\) | 17.1636 | + | 7.10941i | 0.926749 | + | 0.383872i | ||||
\(344\) | 11.7668 | + | 9.21065i | 0.634424 | + | 0.496605i | ||||
\(345\) | −0.0409743 | − | 0.282619i | −0.00220598 | − | 0.0152157i | ||||
\(346\) | 10.1324 | − | 15.7924i | 0.544720 | − | 0.849003i | ||||
\(347\) | −5.56296 | + | 4.87859i | −0.298635 | + | 0.261896i | −0.795529 | − | 0.605915i | \(-0.792807\pi\) |
0.496894 | + | 0.867811i | \(0.334474\pi\) | |||||||
\(348\) | −4.02056 | + | 11.2792i | −0.215525 | + | 0.604626i | ||||
\(349\) | −26.6894 | + | 1.74932i | −1.42865 | + | 0.0936389i | −0.759994 | − | 0.649930i | \(-0.774798\pi\) |
−0.668659 | + | 0.743569i | \(0.733132\pi\) | |||||||
\(350\) | −15.3146 | − | 1.72707i | −0.818602 | − | 0.0923157i | ||||
\(351\) | −0.450236 | + | 1.98942i | −0.0240318 | + | 0.106187i | ||||
\(352\) | 1.14072 | − | 2.98398i | 0.0608008 | − | 0.159047i | ||||
\(353\) | −2.28794 | − | 1.32094i | −0.121775 | − | 0.0703068i | 0.437875 | − | 0.899036i | \(-0.355731\pi\) |
−0.559650 | + | 0.828729i | \(0.689064\pi\) | |||||||
\(354\) | 3.06879 | + | 18.7091i | 0.163104 | + | 0.994376i | ||||
\(355\) | 2.89102 | − | 5.86241i | 0.153439 | − | 0.311144i | ||||
\(356\) | −22.4905 | + | 18.6267i | −1.19200 | + | 0.987212i | ||||
\(357\) | 13.8393 | + | 0.725458i | 0.732456 | + | 0.0383953i | ||||
\(358\) | −0.325369 | + | 6.94011i | −0.0171963 | + | 0.366796i | ||||
\(359\) | −1.31206 | + | 0.543474i | −0.0692480 | + | 0.0286834i | −0.417039 | − | 0.908889i | \(-0.636932\pi\) |
0.347791 | + | 0.937572i | \(0.386932\pi\) | |||||||
\(360\) | 7.66921 | + | 1.91983i | 0.404203 | + | 0.101184i | ||||
\(361\) | −8.22655 | − | 3.40755i | −0.432977 | − | 0.179345i | ||||
\(362\) | −24.7620 | − | 11.6438i | −1.30146 | − | 0.611983i | ||||
\(363\) | −3.84618 | − | 18.0959i | −0.201872 | − | 0.949791i | ||||
\(364\) | −0.984266 | − | 1.82176i | −0.0515895 | − | 0.0954862i | ||||
\(365\) | −8.05270 | + | 2.73352i | −0.421498 | + | 0.143079i | ||||
\(366\) | −8.47164 | + | 15.8095i | −0.442820 | + | 0.826378i | ||||
\(367\) | −24.2983 | + | 6.51071i | −1.26836 | + | 0.339856i | −0.829402 | − | 0.558652i | \(-0.811319\pi\) |
−0.438958 | + | 0.898508i | \(0.644652\pi\) | |||||||
\(368\) | 0.471459 | + | 0.527980i | 0.0245765 | + | 0.0275229i | ||||
\(369\) | −3.28394 | + | 0.972661i | −0.170955 | + | 0.0506347i | ||||
\(370\) | −2.68298 | − | 1.48317i | −0.139481 | − | 0.0771066i | ||||
\(371\) | −4.36957 | + | 4.98254i | −0.226857 | + | 0.258681i | ||||
\(372\) | −3.02730 | − | 26.0411i | −0.156958 | − | 1.35017i | ||||
\(373\) | 2.56466 | + | 0.168097i | 0.132793 | + | 0.00870373i | 0.131655 | − | 0.991296i | \(-0.457971\pi\) |
0.00113847 | + | 0.999999i | \(0.499638\pi\) | |||||||
\(374\) | −2.38464 | − | 0.428387i | −0.123307 | − | 0.0221513i | ||||
\(375\) | −1.73231 | + | 14.6347i | −0.0894560 | + | 0.755732i | ||||
\(376\) | −10.0055 | − | 11.6335i | −0.515994 | − | 0.599954i | ||||
\(377\) | −0.519268 | − | 1.25362i | −0.0267436 | − | 0.0645649i | ||||
\(378\) | −9.81815 | + | 16.7104i | −0.504991 | + | 0.859489i | ||||
\(379\) | 4.33683 | − | 0.862650i | 0.222768 | − | 0.0443113i | −0.0824441 | − | 0.996596i | \(-0.526273\pi\) |
0.305212 | + | 0.952284i | \(0.401273\pi\) | |||||||
\(380\) | 6.69668 | − | 7.21446i | 0.343533 | − | 0.370094i | ||||
\(381\) | −11.8327 | + | 13.8539i | −0.606206 | + | 0.709758i | ||||
\(382\) | 21.5946 | + | 8.47769i | 1.10487 | + | 0.433757i | ||||
\(383\) | 14.3471 | + | 24.8500i | 0.733104 | + | 1.26977i | 0.955550 | + | 0.294829i | \(0.0952627\pi\) |
−0.222446 | + | 0.974945i | \(0.571404\pi\) | |||||||
\(384\) | −18.4765 | + | 6.52832i | −0.942875 | + | 0.333147i | ||||
\(385\) | 0.693869 | − | 1.20182i | 0.0353628 | − | 0.0612502i | ||||
\(386\) | 4.84180 | − | 3.86043i | 0.246441 | − | 0.196491i | ||||
\(387\) | 9.14713 | + | 12.9436i | 0.464975 | + | 0.657958i | ||||
\(388\) | −23.4557 | − | 5.35845i | −1.19078 | − | 0.272034i | ||||
\(389\) | −3.89675 | + | 11.4794i | −0.197573 | + | 0.582031i | −0.999889 | − | 0.0148677i | \(-0.995267\pi\) |
0.802317 | + | 0.596899i | \(0.203601\pi\) | |||||||
\(390\) | −0.790536 | + | 0.421489i | −0.0400304 | + | 0.0213429i | ||||
\(391\) | 0.326804 | − | 0.425900i | 0.0165272 | − | 0.0215387i | ||||
\(392\) | 0.0230124 | + | 0.121820i | 0.00116230 | + | 0.00615285i | ||||
\(393\) | −30.2171 | + | 12.9819i | −1.52425 | + | 0.654848i | ||||
\(394\) | 0.533522 | + | 1.48063i | 0.0268785 | + | 0.0745932i | ||||
\(395\) | 0.228411 | − | 0.341842i | 0.0114926 | − | 0.0171999i | ||||
\(396\) | 2.06833 | − | 2.68386i | 0.103937 | − | 0.134869i | ||||
\(397\) | 20.5891 | + | 4.09543i | 1.03334 | + | 0.205544i | 0.682495 | − | 0.730890i | \(-0.260895\pi\) |
0.350844 | + | 0.936434i | \(0.385895\pi\) | |||||||
\(398\) | −9.85885 | + | 5.93922i | −0.494180 | + | 0.297706i | ||||
\(399\) | 12.3379 | + | 20.7388i | 0.617670 | + | 1.03824i | ||||
\(400\) | −7.44246 | − | 14.7571i | −0.372123 | − | 0.737856i | ||||
\(401\) | 4.76070 | − | 17.7672i | 0.237738 | − | 0.887250i | −0.739158 | − | 0.673533i | \(-0.764776\pi\) |
0.976895 | − | 0.213718i | \(-0.0685572\pi\) | |||||||
\(402\) | −8.12327 | − | 13.0938i | −0.405152 | − | 0.653059i | ||||
\(403\) | 2.23358 | + | 1.95880i | 0.111262 | + | 0.0975746i | ||||
\(404\) | −24.2511 | − | 0.685189i | −1.20654 | − | 0.0340894i | ||||
\(405\) | 7.20628 | + | 4.28776i | 0.358083 | + | 0.213060i | ||||
\(406\) | −1.08242 | − | 12.8477i | −0.0537194 | − | 0.637619i | ||||
\(407\) | −1.04239 | + | 0.799855i | −0.0516694 | + | 0.0396474i | ||||
\(408\) | 7.47504 | + | 12.8451i | 0.370070 | + | 0.635928i | ||||
\(409\) | −20.0154 | − | 15.3584i | −0.989700 | − | 0.759423i | −0.0190248 | − | 0.999819i | \(-0.506056\pi\) |
−0.970675 | + | 0.240396i | \(0.922723\pi\) | |||||||
\(410\) | −1.26610 | − | 0.812329i | −0.0625282 | − | 0.0401181i | ||||
\(411\) | −17.3527 | − | 0.909626i | −0.855945 | − | 0.0448686i | ||||
\(412\) | 22.4064 | + | 8.31880i | 1.10388 | + | 0.409838i | ||||
\(413\) | −11.3414 | − | 16.9736i | −0.558072 | − | 0.835214i | ||||
\(414\) | 0.318057 | + | 0.680078i | 0.0156316 | + | 0.0334240i | ||||
\(415\) | − | 10.4165i | − | 0.511325i | ||||||
\(416\) | 1.05688 | − | 1.95294i | 0.0518177 | − | 0.0957509i | ||||
\(417\) | −27.2791 | + | 28.0021i | −1.33586 | + | 1.37127i | ||||
\(418\) | −1.68669 | − | 3.86698i | −0.0824988 | − | 0.189140i | ||||
\(419\) | −11.6920 | + | 23.7091i | −0.571193 | + | 1.15827i | 0.399229 | + | 0.916851i | \(0.369278\pi\) |
−0.970422 | + | 0.241414i | \(0.922389\pi\) | |||||||
\(420\) | −8.37318 | + | 1.53388i | −0.408570 | + | 0.0748458i | ||||
\(421\) | 31.0847 | + | 10.5518i | 1.51498 | + | 0.514266i | 0.950378 | − | 0.311099i | \(-0.100697\pi\) |
0.564600 | + | 0.825365i | \(0.309030\pi\) | |||||||
\(422\) | 15.1504 | + | 29.3335i | 0.737510 | + | 1.42793i | ||||
\(423\) | −6.61933 | − | 14.8682i | −0.321843 | − | 0.722918i | ||||
\(424\) | −7.03692 | − | 0.995563i | −0.341743 | − | 0.0483488i | ||||
\(425\) | −9.94451 | + | 7.63069i | −0.482379 | + | 0.370143i | ||||
\(426\) | −2.81701 | + | 16.9521i | −0.136485 | + | 0.821332i | ||||
\(427\) | 1.26311 | − | 19.2713i | 0.0611261 | − | 0.932604i | ||||
\(428\) | 1.85960 | + | 0.555021i | 0.0898871 | + | 0.0268279i | ||||
\(429\) | 0.0301209 | + | 0.382782i | 0.00145425 | + | 0.0184809i | ||||
\(430\) | −1.67633 | + | 6.75646i | −0.0808400 | + | 0.325825i | ||||
\(431\) | −11.2770 | − | 11.2770i | −0.543196 | − | 0.543196i | 0.381269 | − | 0.924464i | \(-0.375487\pi\) |
−0.924464 | + | 0.381269i | \(0.875487\pi\) | |||||||
\(432\) | −20.7605 | + | 1.00123i | −0.998839 | + | 0.0481718i | ||||
\(433\) | −16.4467 | + | 16.4467i | −0.790379 | + | 0.790379i | −0.981556 | − | 0.191177i | \(-0.938770\pi\) |
0.191177 | + | 0.981556i | \(0.438770\pi\) | |||||||
\(434\) | 14.5664 | + | 24.1796i | 0.699210 | + | 1.16066i | ||||
\(435\) | −5.56113 | + | 0.437602i | −0.266636 | + | 0.0209814i | ||||
\(436\) | −0.675180 | − | 6.55417i | −0.0323353 | − | 0.313888i | ||||
\(437\) | 0.932781 | + | 0.0611377i | 0.0446210 | + | 0.00292461i | ||||
\(438\) | 18.1865 | − | 13.0035i | 0.868987 | − | 0.621333i | ||||
\(439\) | −11.9263 | − | 15.5427i | −0.569213 | − | 0.741813i | 0.416705 | − | 0.909042i | \(-0.363185\pi\) |
−0.985918 | + | 0.167229i | \(0.946518\pi\) | |||||||
\(440\) | 1.48590 | − | 0.0830072i | 0.0708377 | − | 0.00395721i | ||||
\(441\) | −0.0137481 | + | 0.130774i | −0.000654674 | + | 0.00622735i | ||||
\(442\) | −1.60453 | − | 0.511585i | −0.0763199 | − | 0.0243336i | ||||
\(443\) | 3.38691 | − | 9.97751i | 0.160917 | − | 0.474046i | −0.836328 | − | 0.548230i | \(-0.815302\pi\) |
0.997245 | + | 0.0741840i | \(0.0236352\pi\) | |||||||
\(444\) | 7.88001 | + | 1.69207i | 0.373969 | + | 0.0803023i | ||||
\(445\) | −12.2012 | − | 6.01695i | −0.578390 | − | 0.285231i | ||||
\(446\) | 7.84768 | − | 19.9898i | 0.371598 | − | 0.946544i | ||||
\(447\) | −2.90000 | − | 2.82512i | −0.137165 | − | 0.133624i | ||||
\(448\) | 15.2047 | − | 14.6291i | 0.718354 | − | 0.691162i | ||||
\(449\) | 24.4160 | 1.15226 | 0.576132 | − | 0.817357i | \(-0.304562\pi\) | ||||
0.576132 | + | 0.817357i | \(0.304562\pi\) | |||||||
\(450\) | −3.06349 | − | 17.2605i | −0.144414 | − | 0.813665i | ||||
\(451\) | −0.536069 | + | 0.358190i | −0.0252425 | + | 0.0168665i | ||||
\(452\) | −33.9758 | + | 1.26460i | −1.59809 | + | 0.0594818i | ||||
\(453\) | 1.14622 | − | 21.8660i | 0.0538539 | − | 1.02735i | ||||
\(454\) | 1.85140 | + | 8.48004i | 0.0868904 | + | 0.397988i | ||||
\(455\) | 0.587227 | − | 0.765289i | 0.0275296 | − | 0.0358773i | ||||
\(456\) | −11.3661 | + | 23.2490i | −0.532266 | + | 1.08873i | ||||
\(457\) | −16.9629 | − | 22.1065i | −0.793491 | − | 1.03410i | −0.998468 | − | 0.0553312i | \(-0.982379\pi\) |
0.204977 | − | 0.978767i | \(-0.434288\pi\) | |||||||
\(458\) | 25.2967 | + | 21.3654i | 1.18204 | + | 0.998339i | ||||
\(459\) | 3.67932 | + | 15.3279i | 0.171736 | + | 0.715446i | ||||
\(460\) | −0.134744 | + | 0.300966i | −0.00628249 | + | 0.0140326i | ||||
\(461\) | −23.3905 | + | 26.6718i | −1.08940 | + | 1.24223i | −0.121050 | + | 0.992646i | \(0.538626\pi\) |
−0.968354 | + | 0.249581i | \(0.919707\pi\) | |||||||
\(462\) | −0.832175 | + | 3.55221i | −0.0387163 | + | 0.165264i | ||||
\(463\) | −11.6853 | − | 3.13106i | −0.543060 | − | 0.145513i | −0.0231478 | − | 0.999732i | \(-0.507369\pi\) |
−0.519913 | + | 0.854219i | \(0.674035\pi\) | |||||||
\(464\) | 10.8937 | − | 8.51510i | 0.505726 | − | 0.395304i | ||||
\(465\) | 10.4961 | − | 6.24437i | 0.486746 | − | 0.289576i | ||||
\(466\) | −3.79739 | + | 15.3054i | −0.175911 | + | 0.709007i | ||||
\(467\) | −3.81678 | + | 19.1883i | −0.176620 | + | 0.887927i | 0.786239 | + | 0.617922i | \(0.212025\pi\) |
−0.962859 | + | 0.270005i | \(0.912975\pi\) | |||||||
\(468\) | 1.66891 | − | 1.66195i | 0.0771456 | − | 0.0768236i | ||||
\(469\) | 13.7952 | + | 9.21765i | 0.637003 | + | 0.425632i | ||||
\(470\) | 3.04180 | − | 6.46879i | 0.140308 | − | 0.298383i | ||||
\(471\) | −8.42041 | − | 19.5997i | −0.387992 | − | 0.903106i | ||||
\(472\) | 8.57241 | − | 20.1439i | 0.394577 | − | 0.927197i | ||||
\(473\) | 2.36701 | + | 1.81627i | 0.108835 | + | 0.0835122i | ||||
\(474\) | −0.314840 | + | 1.03400i | −0.0144611 | + | 0.0474930i | ||||
\(475\) | −20.6683 | − | 7.01594i | −0.948327 | − | 0.321914i | ||||
\(476\) | −13.0490 | − | 9.26260i | −0.598099 | − | 0.424551i | ||||
\(477\) | −6.84560 | − | 3.15607i | −0.313438 | − | 0.144506i | ||||
\(478\) | −25.9286 | − | 2.92403i | −1.18595 | − | 0.133742i | ||||
\(479\) | 27.0491 | + | 15.6168i | 1.23590 | + | 0.713550i | 0.968255 | − | 0.249966i | \(-0.0804196\pi\) |
0.267650 | + | 0.963516i | \(0.413753\pi\) | |||||||
\(480\) | −6.29296 | − | 6.61327i | −0.287233 | − | 0.301853i | ||||
\(481\) | −0.790946 | + | 0.456653i | −0.0360640 | + | 0.0208216i | ||||
\(482\) | −18.4596 | + | 8.05170i | −0.840813 | + | 0.366745i | ||||
\(483\) | −0.614697 | − | 0.525014i | −0.0279697 | − | 0.0238890i | ||||
\(484\) | −7.43521 | + | 20.0265i | −0.337964 | + | 0.910294i | ||||
\(485\) | −2.18667 | − | 10.9931i | −0.0992915 | − | 0.499172i | ||||
\(486\) | −21.3964 | − | 5.31000i | −0.970558 | − | 0.240866i | ||||
\(487\) | 19.0047 | − | 7.87199i | 0.861183 | − | 0.356714i | 0.0920131 | − | 0.995758i | \(-0.470670\pi\) |
0.769170 | + | 0.639044i | \(0.220670\pi\) | |||||||
\(488\) | 18.0353 | − | 10.1820i | 0.816421 | − | 0.460920i | ||||
\(489\) | −4.62273 | − | 0.547192i | −0.209047 | − | 0.0247449i | ||||
\(490\) | −0.0474160 | + | 0.0329743i | −0.00214203 | + | 0.00148963i | ||||
\(491\) | −1.59909 | + | 24.3974i | −0.0721659 | + | 1.10104i | 0.796174 | + | 0.605068i | \(0.206854\pi\) |
−0.868340 | + | 0.495970i | \(0.834813\pi\) | |||||||
\(492\) | 3.80408 | + | 1.08140i | 0.171501 | + | 0.0487534i | ||||
\(493\) | −7.88408 | − | 6.91416i | −0.355081 | − | 0.311398i | ||||
\(494\) | −0.811552 | − | 2.81800i | −0.0365134 | − | 0.126788i | ||||
\(495\) | 1.53487 | + | 0.368530i | 0.0689874 | + | 0.0165642i | ||||
\(496\) | −13.1453 | + | 27.2692i | −0.590243 | + | 1.22442i | ||||
\(497\) | −4.78899 | − | 17.8728i | −0.214816 | − | 0.801703i | ||||
\(498\) | 7.92207 | + | 26.2142i | 0.354996 | + | 1.17469i | ||||
\(499\) | 5.93240 | + | 17.4763i | 0.265571 | + | 0.782346i | 0.995143 | + | 0.0984420i | \(0.0313859\pi\) |
−0.729572 | + | 0.683904i | \(0.760281\pi\) | |||||||
\(500\) | 10.7362 | − | 13.2023i | 0.480139 | − | 0.590423i | ||||
\(501\) | −22.9037 | + | 4.86804i | −1.02326 | + | 0.217488i | ||||
\(502\) | −5.95057 | − | 16.5141i | −0.265587 | − | 0.737059i | ||||
\(503\) | 11.7122 | − | 28.2758i | 0.522221 | − | 1.26075i | −0.414299 | − | 0.910141i | \(-0.635973\pi\) |
0.936520 | − | 0.350613i | \(-0.114027\pi\) | |||||||
\(504\) | 19.9054 | − | 10.2283i | 0.886659 | − | 0.455603i | ||||
\(505\) | −4.32510 | − | 10.4417i | −0.192465 | − | 0.464651i | ||||
\(506\) | 0.0951446 | + | 0.104505i | 0.00422970 | + | 0.00464580i | ||||
\(507\) | 1.16473 | − | 22.2193i | 0.0517276 | − | 0.986792i | ||||
\(508\) | 20.1044 | − | 6.19706i | 0.891989 | − | 0.274950i | ||||
\(509\) | −31.5525 | − | 15.5600i | −1.39854 | − | 0.689684i | −0.422318 | − | 0.906448i | \(-0.638783\pi\) |
−0.976224 | + | 0.216763i | \(0.930450\pi\) | |||||||
\(510\) | −4.03865 | + | 5.62350i | −0.178834 | + | 0.249013i | ||||
\(511\) | −12.0364 | + | 20.8476i | −0.532458 | + | 0.922245i | ||||
\(512\) | 22.0556 | + | 5.05458i | 0.974731 | + | 0.223383i | ||||
\(513\) | −18.6328 | + | 20.1553i | −0.822657 | + | 0.889880i | ||||
\(514\) | −19.4222 | + | 15.4856i | −0.856677 | + | 0.683040i | ||||
\(515\) | 0.728222 | + | 11.1105i | 0.0320893 | + | 0.489588i | ||||
\(516\) | −0.919829 | − | 18.2783i | −0.0404932 | − | 0.804655i | ||||
\(517\) | −2.02002 | − | 2.30340i | −0.0888406 | − | 0.101303i | ||||
\(518\) | −8.47839 | + | 1.85104i | −0.372519 | + | 0.0813299i | ||||
\(519\) | −22.7426 | + | 3.29723i | −0.998288 | + | 0.144733i | ||||
\(520\) | 1.03156 | + | 0.0776103i | 0.0452368 | + | 0.00340344i | ||||
\(521\) | −9.54227 | + | 23.0371i | −0.418055 | + | 1.00927i | 0.564856 | + | 0.825190i | \(0.308932\pi\) |
−0.982911 | + | 0.184084i | \(0.941068\pi\) | |||||||
\(522\) | 13.6624 | − | 5.33069i | 0.597985 | − | 0.233318i | ||||
\(523\) | −13.1817 | + | 19.7278i | −0.576396 | + | 0.862637i | −0.999047 | − | 0.0436555i | \(-0.986100\pi\) |
0.422651 | + | 0.906292i | \(0.361100\pi\) | |||||||
\(524\) | 37.4956 | + | 6.01817i | 1.63800 | + | 0.262905i | ||||
\(525\) | 10.6910 | + | 15.5559i | 0.466592 | + | 0.678913i | ||||
\(526\) | 0.604374 | + | 32.4865i | 0.0263520 | + | 1.41648i | ||||
\(527\) | 22.1765 | + | 5.94219i | 0.966026 | + | 0.258846i | ||||
\(528\) | −3.67631 | + | 1.33897i | −0.159991 | + | 0.0582714i | ||||
\(529\) | 22.1860 | − | 5.94473i | 0.964611 | − | 0.258467i | ||||
\(530\) | −0.916246 | − | 3.18153i | −0.0397992 | − | 0.138197i | ||||
\(531\) | 14.8482 | − | 17.8522i | 0.644358 | − | 0.774718i | ||||
\(532\) | 0.786968 | − | 27.8534i | 0.0341194 | − | 1.20760i | ||||
\(533\) | −0.401935 | + | 0.198213i | −0.0174098 | + | 0.00858554i | ||||
\(534\) | 35.2816 | + | 5.86291i | 1.52678 | + | 0.253713i | ||||
\(535\) | 0.118005 | + | 0.896335i | 0.00510179 | + | 0.0387519i | ||||
\(536\) | −0.171603 | + | 17.7919i | −0.00741212 | + | 0.768491i | ||||
\(537\) | 6.68248 | − | 5.26791i | 0.288370 | − | 0.227327i | ||||
\(538\) | 1.33303 | − | 28.4334i | 0.0574708 | − | 1.22585i | ||||
\(539\) | 0.00482907 | + | 0.0242774i | 0.000208003 | + | 0.00104570i | ||||
\(540\) | −4.37768 | − | 8.63653i | −0.188385 | − | 0.371657i | ||||
\(541\) | 8.40766 | + | 12.5830i | 0.361474 | + | 0.540983i | 0.966978 | − | 0.254858i | \(-0.0820288\pi\) |
−0.605505 | + | 0.795842i | \(0.707029\pi\) | |||||||
\(542\) | 24.0267 | + | 17.7361i | 1.03203 | + | 0.761832i | ||||
\(543\) | 9.09631 | + | 32.2546i | 0.390360 | + | 1.38418i | ||||
\(544\) | 0.650092 | − | 17.1486i | 0.0278725 | − | 0.735241i | ||||
\(545\) | 2.65823 | − | 1.53473i | 0.113866 | − | 0.0657407i | ||||
\(546\) | −0.895793 | + | 2.37254i | −0.0383364 | + | 0.101535i | ||||
\(547\) | −28.4207 | + | 1.86279i | −1.21518 | + | 0.0796472i | −0.659472 | − | 0.751729i | \(-0.729220\pi\) |
−0.555709 | + | 0.831377i | \(0.687553\pi\) | |||||||
\(548\) | 16.3617 | + | 11.6141i | 0.698936 | + | 0.496128i | ||||
\(549\) | 21.4258 | − | 4.84762i | 0.914432 | − | 0.206891i | ||||
\(550\) | −1.51432 | − | 2.93196i | −0.0645710 | − | 0.125019i | ||||
\(551\) | 2.38338 | − | 18.1036i | 0.101536 | − | 0.771239i | ||||
\(552\) | 0.110205 | − | 0.859889i | 0.00469062 | − | 0.0365993i | ||||
\(553\) | −0.151907 | − | 1.15385i | −0.00645976 | − | 0.0490667i | ||||
\(554\) | −11.5925 | − | 16.6697i | −0.492520 | − | 0.708227i | ||||
\(555\) | 0.780588 | + | 3.67260i | 0.0331341 | + | 0.155893i | ||||
\(556\) | 43.9153 | − | 10.4472i | 1.86242 | − | 0.443059i | ||||
\(557\) | 0.394696 | − | 1.98427i | 0.0167238 | − | 0.0840763i | −0.971522 | − | 0.236949i | \(-0.923853\pi\) |
0.988246 | + | 0.152873i | \(0.0488525\pi\) | |||||||
\(558\) | −21.6656 | + | 23.6973i | −0.917178 | + | 1.00319i | ||||
\(559\) | 1.46646 | + | 1.46646i | 0.0620246 | + | 0.0620246i | ||||
\(560\) | 9.11452 | + | 3.68006i | 0.385159 | + | 0.155511i | ||||
\(561\) | 1.51715 | + | 2.55016i | 0.0640540 | + | 0.107668i | ||||
\(562\) | 24.1208 | − | 0.448739i | 1.01747 | − | 0.0189289i | ||||
\(563\) | 0.505677 | + | 1.48968i | 0.0213117 | + | 0.0627823i | 0.957066 | − | 0.289872i | \(-0.0936126\pi\) |
−0.935754 | + | 0.352654i | \(0.885279\pi\) | |||||||
\(564\) | −2.73530 | + | 18.5928i | −0.115177 | + | 0.782897i | ||||
\(565\) | −7.00534 | − | 14.2054i | −0.294717 | − | 0.597626i | ||||
\(566\) | 17.8869 | + | 15.1072i | 0.751843 | + | 0.635001i | ||||
\(567\) | 23.3398 | − | 4.32461i | 0.980180 | − | 0.181617i | ||||
\(568\) | 13.2267 | − | 14.7919i | 0.554979 | − | 0.620654i | ||||
\(569\) | −14.3071 | − | 1.88357i | −0.599787 | − | 0.0789634i | −0.175482 | − | 0.984483i | \(-0.556148\pi\) |
−0.424305 | + | 0.905519i | \(0.639482\pi\) | |||||||
\(570\) | −12.0489 | − | 0.407049i | −0.504672 | − | 0.0170494i | ||||
\(571\) | 27.9862 | + | 31.9121i | 1.17118 | + | 1.33548i | 0.931116 | + | 0.364724i | \(0.118837\pi\) |
0.240069 | + | 0.970756i | \(0.422830\pi\) | |||||||
\(572\) | 0.207248 | − | 0.391945i | 0.00866546 | − | 0.0163880i | ||||
\(573\) | −9.48411 | − | 26.7833i | −0.396204 | − | 1.11889i | ||||
\(574\) | −4.21078 | + | 0.634250i | −0.175755 | + | 0.0264731i | ||||
\(575\) | 0.731182 | 0.0304924 | ||||||||
\(576\) | 20.8665 | + | 11.8570i | 0.869438 | + | 0.494042i | ||||
\(577\) | 20.5588 | 0.855873 | 0.427936 | − | 0.903809i | \(-0.359241\pi\) | ||||
0.427936 | + | 0.903809i | \(0.359241\pi\) | |||||||
\(578\) | 10.9036 | − | 1.64235i | 0.453528 | − | 0.0683128i | ||||
\(579\) | −7.45711 | − | 1.38219i | −0.309907 | − | 0.0574417i | ||||
\(580\) | 5.69425 | + | 3.01093i | 0.236441 | + | 0.125022i | ||||
\(581\) | −19.4418 | − | 22.1691i | −0.806582 | − | 0.919730i | ||||
\(582\) | 13.8636 | + | 26.0024i | 0.574665 | + | 1.07783i | ||||
\(583\) | −1.40685 | − | 0.185216i | −0.0582660 | − | 0.00767086i | ||||
\(584\) | −25.7756 | + | 1.43991i | −1.06660 | + | 0.0595838i | ||||
\(585\) | 1.02434 | + | 0.393235i | 0.0423511 | + | 0.0162583i | ||||
\(586\) | 15.7076 | + | 13.2665i | 0.648876 | + | 0.548036i | ||||
\(587\) | −14.6897 | − | 29.7878i | −0.606310 | − | 1.22948i | −0.956208 | − | 0.292688i | \(-0.905450\pi\) |
0.349898 | − | 0.936788i | \(-0.386216\pi\) | |||||||
\(588\) | 0.0942493 | − | 0.119045i | 0.00388677 | − | 0.00490933i | ||||
\(589\) | 12.8505 | + | 37.8563i | 0.529495 | + | 1.55984i | ||||
\(590\) | 10.1968 | − | 0.189700i | 0.419796 | − | 0.00780982i | ||||
\(591\) | 0.941854 | − | 1.68175i | 0.0387427 | − | 0.0691781i | ||||
\(592\) | −6.63934 | − | 6.52145i | −0.272875 | − | 0.268030i | ||||
\(593\) | −15.0105 | − | 15.0105i | −0.616407 | − | 0.616407i | 0.328201 | − | 0.944608i | \(-0.393558\pi\) |
−0.944608 | + | 0.328201i | \(0.893558\pi\) | |||||||
\(594\) | −4.14295 | + | 0.239876i | −0.169987 | + | 0.00984224i | ||||
\(595\) | 1.45435 | − | 7.31151i | 0.0596226 | − | 0.299743i | ||||
\(596\) | 1.08195 | + | 4.54801i | 0.0443182 | + | 0.186294i | ||||
\(597\) | 13.4064 | + | 4.35617i | 0.548686 | + | 0.178286i | ||||
\(598\) | 0.0560882 | + | 0.0806529i | 0.00229362 | + | 0.00329814i | ||||
\(599\) | −0.651089 | − | 4.94551i | −0.0266028 | − | 0.202068i | 0.972982 | − | 0.230881i | \(-0.0741607\pi\) |
−0.999585 | + | 0.0288126i | \(0.990827\pi\) | |||||||
\(600\) | −7.68208 | + | 18.7278i | −0.313620 | + | 0.764558i | ||||
\(601\) | −1.49471 | + | 11.3534i | −0.0609704 | + | 0.463116i | 0.933540 | + | 0.358474i | \(0.116703\pi\) |
−0.994510 | + | 0.104642i | \(0.966630\pi\) | |||||||
\(602\) | 9.04287 | + | 17.5084i | 0.368560 | + | 0.713589i | ||||
\(603\) | −5.59677 | + | 18.0230i | −0.227918 | + | 0.733953i | ||||
\(604\) | −14.6348 | + | 20.6172i | −0.595482 | + | 0.838904i | ||||
\(605\) | −9.93040 | + | 0.650873i | −0.403728 | + | 0.0264618i | ||||
\(606\) | 18.8259 | + | 22.9883i | 0.764748 | + | 0.933837i | ||||
\(607\) | −33.5045 | + | 19.3438i | −1.35991 | + | 0.785142i | −0.989611 | − | 0.143771i | \(-0.954077\pi\) |
−0.370296 | + | 0.928914i | \(0.620744\pi\) | |||||||
\(608\) | 25.4571 | − | 15.6485i | 1.03242 | − | 0.634629i | ||||
\(609\) | −11.0188 | + | 11.3109i | −0.446506 | + | 0.458340i | ||||
\(610\) | 7.76250 | + | 5.73016i | 0.314294 | + | 0.232008i | ||||
\(611\) | −1.18313 | − | 1.77068i | −0.0478645 | − | 0.0716342i | ||||
\(612\) | 5.88684 | − | 17.2237i | 0.237961 | − | 0.696226i | ||||
\(613\) | −1.20306 | − | 6.04819i | −0.0485912 | − | 0.244284i | 0.948854 | − | 0.315714i | \(-0.102244\pi\) |
−0.997446 | + | 0.0714295i | \(0.977244\pi\) | |||||||
\(614\) | 0.328676 | − | 7.01064i | 0.0132643 | − | 0.282927i | ||||
\(615\) | 0.264345 | + | 1.82331i | 0.0106594 | + | 0.0735229i | ||||
\(616\) | 3.00748 | − | 2.95002i | 0.121175 | − | 0.118860i | ||||
\(617\) | 1.88174 | + | 14.2933i | 0.0757562 | + | 0.575425i | 0.986659 | + | 0.162803i | \(0.0520536\pi\) |
−0.910902 | + | 0.412622i | \(0.864613\pi\) | |||||||
\(618\) | −10.2826 | − | 27.4070i | −0.413625 | − | 1.10247i | ||||
\(619\) | 15.4718 | − | 7.62985i | 0.621865 | − | 0.306670i | −0.103926 | − | 0.994585i | \(-0.533141\pi\) |
0.725791 | + | 0.687915i | \(0.241474\pi\) | |||||||
\(620\) | −14.0969 | − | 0.398293i | −0.566145 | − | 0.0159958i | ||||
\(621\) | 0.374029 | − | 0.840001i | 0.0150093 | − | 0.0337081i | ||||
\(622\) | 13.3889 | + | 46.4910i | 0.536845 | + | 1.86412i | ||||
\(623\) | −37.1977 | + | 9.96710i | −1.49030 | + | 0.399324i | ||||
\(624\) | −2.65505 | + | 0.589218i | −0.106287 | + | 0.0235876i | ||||
\(625\) | −12.2984 | − | 3.29534i | −0.491935 | − | 0.131814i | ||||
\(626\) | 0.303120 | + | 16.2934i | 0.0121151 | + | 0.651214i | ||||
\(627\) | −2.22450 | + | 4.66361i | −0.0888379 | + | 0.186247i | ||||
\(628\) | −3.90356 | + | 24.3207i | −0.155769 | + | 0.970502i | ||||
\(629\) | −3.92129 | + | 5.86863i | −0.156352 | + | 0.233998i | ||||
\(630\) | 8.13815 | + | 6.51652i | 0.324232 | + | 0.259625i | ||||
\(631\) | 8.65303 | − | 20.8903i | 0.344472 | − | 0.831629i | −0.652780 | − | 0.757547i | \(-0.726398\pi\) |
0.997252 | − | 0.0740814i | \(-0.0236024\pi\) | |||||||
\(632\) | 0.946246 | − | 0.813825i | 0.0376396 | − | 0.0323722i | ||||
\(633\) | 14.9839 | − | 37.5562i | 0.595557 | − | 1.49272i | ||||
\(634\) | 36.1859 | − | 7.90026i | 1.43713 | − | 0.313759i | ||||
\(635\) | 6.46200 | + | 7.36850i | 0.256437 | + | 0.292410i | ||||
\(636\) | 4.72549 | + | 7.30984i | 0.187378 | + | 0.289854i | ||||
\(637\) | 0.00112533 | + | 0.0171691i | 4.45870e−5 | + | 0.000680266i | ||||
\(638\) | 2.15855 | − | 1.72104i | 0.0854578 | − | 0.0681366i | ||||
\(639\) | 17.9455 | − | 10.9964i | 0.709914 | − | 0.435012i | ||||
\(640\) | 2.04936 | + | 10.3400i | 0.0810082 | + | 0.408725i | ||||
\(641\) | −18.4214 | + | 31.9069i | −0.727603 | + | 1.26025i | 0.230291 | + | 0.973122i | \(0.426032\pi\) |
−0.957894 | + | 0.287123i | \(0.907301\pi\) | |||||||
\(642\) | −0.978663 | − | 2.16598i | −0.0386247 | − | 0.0854842i | ||||
\(643\) | 5.75898 | + | 2.84002i | 0.227112 | + | 0.111999i | 0.552285 | − | 0.833655i | \(-0.313756\pi\) |
−0.325173 | + | 0.945654i | \(0.605423\pi\) | |||||||
\(644\) | 0.274963 | + | 0.892031i | 0.0108351 | + | 0.0351509i | ||||
\(645\) | 7.59661 | − | 3.87055i | 0.299116 | − | 0.152403i | ||||
\(646\) | −15.2571 | − | 16.7580i | −0.600282 | − | 0.659336i | ||||
\(647\) | −16.4880 | − | 39.8056i | −0.648211 | − | 1.56492i | −0.815339 | − | 0.578984i | \(-0.803449\pi\) |
0.167128 | − | 0.985935i | \(-0.446551\pi\) | |||||||
\(648\) | 17.5853 | + | 18.4054i | 0.690814 | + | 0.723032i | ||||
\(649\) | 1.67271 | − | 4.03828i | 0.0656597 | − | 0.158517i | ||||
\(650\) | −0.777595 | − | 2.15799i | −0.0304998 | − | 0.0846432i | ||||
\(651\) | 10.6839 | − | 32.8802i | 0.418734 | − | 1.28868i | ||||
\(652\) | 4.17026 | + | 3.39130i | 0.163320 | + | 0.132814i | ||||
\(653\) | −3.44701 | − | 10.1546i | −0.134892 | − | 0.397379i | 0.858405 | − | 0.512973i | \(-0.171456\pi\) |
−0.993296 | + | 0.115595i | \(0.963123\pi\) | |||||||
\(654\) | −5.52252 | + | 5.88399i | −0.215947 | + | 0.230082i | ||||
\(655\) | 4.57880 | + | 17.0883i | 0.178909 | + | 0.667696i | ||||
\(656\) | −3.04161 | − | 3.40625i | −0.118755 | − | 0.132992i | ||||
\(657\) | −26.6251 | − | 6.39280i | −1.03874 | − | 0.249407i | ||||
\(658\) | −5.59986 | − | 19.4447i | −0.218305 | − | 0.758034i | ||||
\(659\) | 17.7139 | + | 15.5347i | 0.690035 | + | 0.605144i | 0.930839 | − | 0.365429i | \(-0.119078\pi\) |
−0.240804 | + | 0.970574i | \(0.577411\pi\) | |||||||
\(660\) | −1.26914 | − | 1.30824i | −0.0494012 | − | 0.0509231i | ||||
\(661\) | −0.260190 | + | 3.96973i | −0.0101202 | + | 0.154404i | 0.989808 | + | 0.142409i | \(0.0454849\pi\) |
−0.999928 | + | 0.0119951i | \(0.996182\pi\) | |||||||
\(662\) | −20.1648 | + | 14.0232i | −0.783728 | + | 0.545026i | ||||
\(663\) | 0.814181 | + | 1.89512i | 0.0316202 | + | 0.0736004i | ||||
\(664\) | 8.47846 | − | 30.4637i | 0.329028 | − | 1.18222i | ||||
\(665\) | 11.9928 | − | 4.96756i | 0.465059 | − | 0.192634i | ||||
\(666\) | −4.75756 | − | 8.64882i | −0.184352 | − | 0.335135i | ||||
\(667\) | 0.119336 | + | 0.599941i | 0.00462070 | + | 0.0232298i | ||||
\(668\) | 25.3471 | + | 9.41060i | 0.980709 | + | 0.364107i | ||||
\(669\) | −24.7929 | + | 8.77930i | −0.958550 | + | 0.339427i | ||||
\(670\) | −7.59757 | + | 3.31390i | −0.293520 | + | 0.128027i | ||||
\(671\) | 3.58119 | − | 2.06760i | 0.138250 | − | 0.0798188i | ||||
\(672\) | −25.7365 | − | 2.32939i | −0.992806 | − | 0.0898580i | ||||
\(673\) | −3.14464 | − | 1.81556i | −0.121217 | − | 0.0699846i | 0.438166 | − | 0.898894i | \(-0.355628\pi\) |
−0.559382 | + | 0.828910i | \(0.688962\pi\) | |||||||
\(674\) | 20.8326 | + | 2.34934i | 0.802441 | + | 0.0904933i | ||||
\(675\) | −13.5121 | + | 16.6849i | −0.520082 | + | 0.642200i | ||||
\(676\) | −14.8712 | + | 20.9503i | −0.571970 | + | 0.805781i | ||||
\(677\) | −33.8678 | − | 11.4966i | −1.30165 | − | 0.441850i | −0.417338 | − | 0.908751i | \(-0.637037\pi\) |
−0.884309 | + | 0.466902i | \(0.845370\pi\) | |||||||
\(678\) | 28.4334 | + | 30.4217i | 1.09198 | + | 1.16834i | ||||
\(679\) | −25.1719 | − | 19.3151i | −0.966010 | − | 0.741246i | ||||
\(680\) | 7.41515 | − | 2.98800i | 0.284358 | − | 0.114585i | ||||
\(681\) | 6.36061 | − | 8.51767i | 0.243739 | − | 0.326398i | ||||
\(682\) | −2.57199 | + | 5.46967i | −0.0984866 | + | 0.209444i | ||||
\(683\) | −13.1170 | − | 8.76449i | −0.501907 | − | 0.335364i | 0.278708 | − | 0.960376i | \(-0.410094\pi\) |
−0.780615 | + | 0.625012i | \(0.785094\pi\) | |||||||
\(684\) | 30.6319 | − | 8.13918i | 1.17124 | − | 0.311209i | ||||
\(685\) | −1.82356 | + | 9.16766i | −0.0696746 | + | 0.350278i | ||||
\(686\) | −6.32672 | + | 25.4998i | −0.241555 | + | 0.973588i | ||||
\(687\) | −0.530340 | − | 40.5502i | −0.0202337 | − | 1.54709i | ||||
\(688\) | −10.4020 | + | 18.3953i | −0.396571 | + | 0.701314i | ||||
\(689\) | −0.952744 | − | 0.255287i | −0.0362966 | − | 0.00972566i | ||||
\(690\) | 0.386594 | − | 0.116831i | 0.0147174 | − | 0.00444767i | ||||
\(691\) | 26.5814 | − | 30.3103i | 1.01121 | − | 1.15306i | 0.0230290 | − | 0.999735i | \(-0.492669\pi\) |
0.988176 | − | 0.153324i | \(-0.0489977\pi\) | |||||||
\(692\) | 24.2190 | + | 10.8430i | 0.920666 | + | 0.412189i | ||||
\(693\) | 3.95448 | − | 2.08043i | 0.150218 | − | 0.0790289i | ||||
\(694\) | −7.99419 | − | 6.75183i | −0.303455 | − | 0.256296i | ||||
\(695\) | 12.8017 | + | 16.6836i | 0.485598 | + | 0.632843i | ||||
\(696\) | −16.6201 | − | 3.24667i | −0.629983 | − | 0.123065i | ||||
\(697\) | −2.10837 | + | 2.74768i | −0.0798602 | + | 0.104076i | ||||
\(698\) | −8.06819 | − | 36.9551i | −0.305385 | − | 1.39877i | ||||
\(699\) | 17.2086 | − | 8.76794i | 0.650887 | − | 0.331634i | ||||
\(700\) | −0.810678 | − | 21.7804i | −0.0306407 | − | 0.823221i | ||||
\(701\) | −22.0014 | + | 14.7008i | −0.830980 | + | 0.555243i | −0.896722 | − | 0.442594i | \(-0.854058\pi\) |
0.0657426 | + | 0.997837i | \(0.479058\pi\) | |||||||
\(702\) | −2.87692 | − | 0.210576i | −0.108582 | − | 0.00794766i | ||||
\(703\) | −12.2902 | −0.463535 | ||||||||
\(704\) | 4.41320 | + | 0.966688i | 0.166329 | + | 0.0364334i | ||||
\(705\) | −8.42614 | + | 2.37631i | −0.317347 | + | 0.0894969i | ||||
\(706\) | 1.36533 | − | 3.47779i | 0.0513847 | − | 0.130888i | ||||
\(707\) | −28.6939 | − | 14.1503i | −1.07915 | − | 0.532176i | ||||
\(708\) | −25.5171 | + | 8.23240i | −0.958990 | + | 0.309392i | ||||
\(709\) | −16.2841 | + | 47.9715i | −0.611563 | + | 1.80161i | −0.0138383 | + | 0.999904i | \(0.504405\pi\) |
−0.597724 | + | 0.801702i | \(0.703928\pi\) | |||||||
\(710\) | 8.80718 | + | 2.80805i | 0.330528 | + | 0.105384i | ||||
\(711\) | 1.20935 | − | 0.538402i | 0.0453542 | − | 0.0201917i | ||||
\(712\) | −30.7857 | − | 27.5281i | −1.15374 | − | 1.03166i | ||||
\(713\) | −0.815279 | − | 1.06249i | −0.0305324 | − | 0.0397906i | ||||
\(714\) | 1.90061 | + | 19.5063i | 0.0711287 | + | 0.730005i | ||||
\(715\) | 0.206102 | + | 0.0135087i | 0.00770779 | + | 0.000505195i | ||||
\(716\) | −9.77385 | + | 1.00686i | −0.365266 | + | 0.0376280i | ||||
\(717\) | 18.1004 | + | 26.3370i | 0.675973 | + | 0.983572i | ||||
\(718\) | −1.03639 | − | 1.72036i | −0.0386776 | − | 0.0642033i | ||||
\(719\) | −5.69716 | + | 5.69716i | −0.212468 | + | 0.212468i | −0.805315 | − | 0.592847i | \(-0.798004\pi\) |
0.592847 | + | 0.805315i | \(0.298004\pi\) | |||||||
\(720\) | −1.06932 | + | 11.1293i | −0.0398511 | + | 0.414765i | ||||
\(721\) | 22.2871 | + | 22.2871i | 0.830014 | + | 0.830014i | ||||
\(722\) | 3.03241 | − | 12.2221i | 0.112855 | − | 0.454859i | ||||
\(723\) | 22.2625 | + | 10.6190i | 0.827951 | + | 0.394925i | ||||
\(724\) | 11.0672 | − | 37.0808i | 0.411310 | − | 1.37810i | ||||
\(725\) | 0.934134 | − | 14.2521i | 0.0346929 | − | 0.529311i | ||||
\(726\) | 24.4959 | − | 9.19039i | 0.909129 | − | 0.341087i | ||||
\(727\) | −21.7655 | + | 16.7012i | −0.807236 | + | 0.619414i | −0.927710 | − | 0.373302i | \(-0.878225\pi\) |
0.120474 | + | 0.992717i | \(0.461559\pi\) | |||||||
\(728\) | 2.34029 | − | 1.76017i | 0.0867370 | − | 0.0652363i | ||||
\(729\) | 12.2560 | + | 24.0581i | 0.453926 | + | 0.891040i | ||||
\(730\) | −5.51889 | − | 10.6854i | −0.204263 | − | 0.395485i | ||||
\(731\) | 15.1767 | + | 5.15179i | 0.561330 | + | 0.190546i | ||||
\(732\) | −23.8931 | − | 8.51694i | −0.883116 | − | 0.314795i | ||||
\(733\) | −4.48633 | + | 9.09738i | −0.165706 | + | 0.336019i | −0.963849 | − | 0.266449i | \(-0.914150\pi\) |
0.798142 | + | 0.602469i | \(0.205816\pi\) | |||||||
\(734\) | −14.2230 | − | 32.6082i | −0.524981 | − | 1.20359i | ||||
\(735\) | 0.0685579 | + | 0.0174124i | 0.00252879 | + | 0.000642265i | ||||
\(736\) | −0.639040 | + | 0.770520i | −0.0235553 | + | 0.0284018i | ||||
\(737\) | 3.55252i | 0.130859i | ||||||||
\(738\) | −2.05194 | − | 4.38751i | −0.0755328 | − | 0.161506i | ||||
\(739\) | 14.3935 | + | 21.5413i | 0.529472 | + | 0.792411i | 0.995737 | − | 0.0922343i | \(-0.0294009\pi\) |
−0.466266 | + | 0.884645i | \(0.654401\pi\) | |||||||
\(740\) | 1.50899 | − | 4.06440i | 0.0554714 | − | 0.149410i | ||||
\(741\) | −1.95616 | + | 3.01215i | −0.0718614 | + | 0.110654i | ||||
\(742\) | −7.88819 | − | 5.06106i | −0.289585 | − | 0.185797i | ||||
\(743\) | −36.8403 | − | 28.2686i | −1.35154 | − | 1.03707i | −0.994690 | − | 0.102912i | \(-0.967184\pi\) |
−0.356850 | − | 0.934162i | \(-0.616149\pi\) | |||||||
\(744\) | 35.7793 | − | 9.71880i | 1.31173 | − | 0.356309i | ||||
\(745\) | −1.72781 | + | 1.32579i | −0.0633019 | + | 0.0485733i | ||||
\(746\) | 0.305148 | + | 3.62193i | 0.0111723 | + | 0.132608i | ||||
\(747\) | 17.8980 | − | 28.3650i | 0.654852 | − | 1.03782i | ||||
\(748\) | 0.0967702 | − | 3.42501i | 0.00353827 | − | 0.125231i | ||||
\(749\) | 1.92411 | + | 1.68740i | 0.0703054 | + | 0.0616562i | ||||
\(750\) | −20.8306 | + | 0.660125i | −0.760626 | + | 0.0241043i | ||||
\(751\) | 8.81887 | − | 32.9125i | 0.321805 | − | 1.20099i | −0.595679 | − | 0.803222i | \(-0.703117\pi\) |
0.917485 | − | 0.397771i | \(-0.130216\pi\) | |||||||
\(752\) | 14.1612 | − | 16.4426i | 0.516407 | − | 0.599599i | ||||
\(753\) | −10.5049 | + | 18.7572i | −0.382818 | + | 0.683551i | ||||
\(754\) | 1.64374 | − | 0.990227i | 0.0598613 | − | 0.0360619i | ||||
\(755\) | −11.5521 | − | 2.29786i | −0.420424 | − | 0.0836276i | ||||
\(756\) | −25.4365 | − | 10.2102i | −0.925118 | − | 0.371342i | ||||
\(757\) | −5.15487 | + | 7.71480i | −0.187357 | + | 0.280399i | −0.913243 | − | 0.407416i | \(-0.866430\pi\) |
0.725886 | + | 0.687815i | \(0.241430\pi\) | |||||||
\(758\) | 2.11987 | + | 5.88309i | 0.0769973 | + | 0.213683i | ||||
\(759\) | 0.0203468 | − | 0.171891i | 0.000738542 | − | 0.00623926i | ||||
\(760\) | 11.4996 | + | 7.84524i | 0.417133 | + | 0.284577i | ||||
\(761\) | −10.9833 | + | 14.3137i | −0.398143 | + | 0.518869i | −0.948807 | − | 0.315857i | \(-0.897708\pi\) |
0.550664 | + | 0.834727i | \(0.314375\pi\) | |||||||
\(762\) | −21.8663 | − | 13.6291i | −0.792133 | − | 0.493729i | ||||
\(763\) | 2.79296 | − | 8.22778i | 0.101112 | − | 0.297866i | ||||
\(764\) | −7.30685 | + | 31.9844i | −0.264353 | + | 1.15716i | ||||
\(765\) | 8.44393 | − | 0.775682i | 0.305291 | − | 0.0280448i | ||||
\(766\) | −31.7291 | + | 25.2980i | −1.14642 | + | 0.914054i | ||||
\(767\) | 1.51916 | − | 2.63126i | 0.0548536 | − | 0.0950093i | ||||
\(768\) | −13.0214 | − | 24.4631i | −0.469868 | − | 0.882737i | ||||
\(769\) | 7.94861 | + | 13.7674i | 0.286634 | + | 0.496465i | 0.973004 | − | 0.230787i | \(-0.0741302\pi\) |
−0.686370 | + | 0.727253i | \(0.740797\pi\) | |||||||
\(770\) | 1.82682 | + | 0.717182i | 0.0658341 | + | 0.0258455i | ||||
\(771\) | 29.9132 | + | 5.54445i | 1.07730 | + | 0.199679i | ||||
\(772\) | 6.41845 | + | 5.95780i | 0.231005 | + | 0.214426i | ||||
\(773\) | 33.4460 | − | 6.65283i | 1.20297 | − | 0.239286i | 0.447388 | − | 0.894340i | \(-0.352354\pi\) |
0.755582 | + | 0.655054i | \(0.227354\pi\) | |||||||
\(774\) | −16.1740 | + | 15.5181i | −0.581363 | + | 0.557788i | ||||
\(775\) | 11.9667 | + | 28.8902i | 0.429857 | + | 1.03777i | ||||
\(776\) | 2.55276 | − | 33.9300i | 0.0916388 | − | 1.21802i | ||||
\(777\) | 8.51601 | + | 6.35937i | 0.305510 | + | 0.228141i | ||||
\(778\) | −16.8741 | − | 3.03133i | −0.604966 | − | 0.108678i | ||||
\(779\) | −6.01782 | − | 0.394429i | −0.215611 | − | 0.0141319i | ||||
\(780\) | −0.755945 | − | 1.01673i | −0.0270672 | − | 0.0364049i | ||||
\(781\) | 2.61226 | − | 2.97871i | 0.0934739 | − | 0.106587i | ||||
\(782\) | 0.664433 | + | 0.367304i | 0.0237601 | + | 0.0131348i | ||||
\(783\) | −15.8954 | − | 8.36370i | −0.568054 | − | 0.298894i | ||||
\(784\) | −0.165511 | + | 0.0578417i | −0.00591110 | + | 0.00206578i | ||||
\(785\) | −11.0840 | + | 2.96994i | −0.395604 | + | 0.106002i | ||||
\(786\) | −24.5193 | − | 39.5223i | −0.874573 | − | 1.40971i | ||||
\(787\) | 11.0342 | − | 3.74559i | 0.393325 | − | 0.133516i | −0.117768 | − | 0.993041i | \(-0.537574\pi\) |
0.511093 | + | 0.859525i | \(0.329241\pi\) | |||||||
\(788\) | −1.95819 | + | 1.05798i | −0.0697578 | + | 0.0376889i | ||||
\(789\) | 29.5735 | − | 26.6274i | 1.05284 | − | 0.947961i | ||||
\(790\) | 0.526157 | + | 0.247414i | 0.0187198 | + | 0.00880258i | ||||
\(791\) | −41.4230 | − | 17.1579i | −1.47283 | − | 0.610066i | ||||
\(792\) | 4.18888 | + | 2.32710i | 0.148845 | + | 0.0826899i | ||||
\(793\) | 2.65561 | − | 1.09999i | 0.0943033 | − | 0.0390617i | ||||
\(794\) | −1.39031 | + | 29.6553i | −0.0493404 | + | 1.05243i | ||||
\(795\) | −2.20852 | + | 3.40073i | −0.0783280 | + | 0.120611i | ||||
\(796\) | −10.3823 | − | 12.5360i | −0.367991 | − | 0.444325i | ||||
\(797\) | 18.8937 | − | 38.3126i | 0.669249 | − | 1.35710i | −0.251847 | − | 0.967767i | \(-0.581038\pi\) |
0.921096 | − | 0.389336i | \(-0.127295\pi\) | |||||||
\(798\) | −26.4031 | + | 21.6223i | −0.934658 | + | 0.765420i | ||||
\(799\) | −14.2528 | − | 8.22885i | −0.504227 | − | 0.291116i | ||||
\(800\) | 19.0692 | − | 13.5163i | 0.674200 | − | 0.477872i | ||||
\(801\) | −22.8864 | − | 37.3492i | −0.808650 | − | 1.31967i | ||||
\(802\) | 25.8491 | + | 2.91507i | 0.912763 | + | 0.102935i | ||||
\(803\) | −5.14340 | + | 0.337116i | −0.181507 | + | 0.0118966i | ||||
\(804\) | 16.5998 | − | 14.1180i | 0.585429 | − | 0.497902i | ||||
\(805\) | −0.326940 | + | 0.286718i | −0.0115231 | + | 0.0101055i | ||||
\(806\) | −2.26877 | + | 3.53612i | −0.0799142 | + | 0.124555i | ||||
\(807\) | −27.3779 | + | 21.5824i | −0.963746 | + | 0.759738i | ||||
\(808\) | −4.15006 | − | 34.0580i | −0.145999 | − | 1.19816i | ||||
\(809\) | 22.6536 | + | 9.38344i | 0.796459 | + | 0.329904i | 0.743537 | − | 0.668695i | \(-0.233147\pi\) |
0.0529217 | + | 0.998599i | \(0.483147\pi\) | |||||||
\(810\) | −4.47824 | + | 10.9807i | −0.157349 | + | 0.385823i | ||||
\(811\) | 35.9215 | + | 24.0020i | 1.26137 | + | 0.842824i | 0.992724 | − | 0.120414i | \(-0.0384222\pi\) |
0.268651 | + | 0.963238i | \(0.413422\pi\) | |||||||
\(812\) | 17.7387 | − | 4.21993i | 0.622505 | − | 0.148090i | ||||
\(813\) | −2.86925 | − | 36.4629i | −0.100629 | − | 1.27881i | ||||
\(814\) | −1.33812 | − | 1.28924i | −0.0469010 | − | 0.0451878i | ||||
\(815\) | −0.648094 | + | 2.41872i | −0.0227017 | + | 0.0847240i | ||||
\(816\) | −16.3886 | + | 13.1591i | −0.573714 | + | 0.460660i | ||||
\(817\) | 7.22313 | + | 26.9571i | 0.252705 | + | 0.943110i | ||||
\(818\) | 17.2617 | − | 31.2255i | 0.603541 | − | 1.09177i | ||||
\(819\) | 2.91402 | − | 1.07496i | 0.101824 | − | 0.0375621i | ||||
\(820\) | 0.869301 | − | 1.94167i | 0.0303573 | − | 0.0678062i | ||||
\(821\) | 11.2617 | + | 22.8364i | 0.393035 | + | 0.796996i | 0.999997 | + | 0.00226551i | \(0.000721134\pi\) |
−0.606963 | + | 0.794730i | \(0.707612\pi\) | |||||||
\(822\) | −2.38312 | − | 24.4583i | −0.0831207 | − | 0.853080i | ||||
\(823\) | −10.9042 | + | 1.43556i | −0.380095 | + | 0.0500405i | −0.318153 | − | 0.948039i | \(-0.603063\pi\) |
−0.0619420 | + | 0.998080i | \(0.519729\pi\) | |||||||
\(824\) | −6.91365 | + | 33.0863i | −0.240848 | + | 1.15261i | ||||
\(825\) | −1.49768 | + | 3.75384i | −0.0521426 | + | 0.130692i | ||||
\(826\) | 21.3475 | − | 19.4355i | 0.742776 | − | 0.676249i | ||||
\(827\) | 45.2212 | − | 8.99506i | 1.57250 | − | 0.312789i | 0.669624 | − | 0.742700i | \(-0.266455\pi\) |
0.902871 | + | 0.429911i | \(0.141455\pi\) | |||||||
\(828\) | −0.884052 | + | 0.588035i | −0.0307229 | + | 0.0204356i | ||||
\(829\) | 9.83039 | − | 6.56846i | 0.341424 | − | 0.228132i | −0.373023 | − | 0.927822i | \(-0.621679\pi\) |
0.714446 | + | 0.699690i | \(0.246679\pi\) | |||||||
\(830\) | 14.5668 | − | 2.19413i | 0.505621 | − | 0.0761593i | ||||
\(831\) | −6.12154 | + | 24.1024i | −0.212354 | + | 0.836102i | ||||
\(832\) | 2.95369 | + | 1.06661i | 0.102401 | + | 0.0369781i | ||||
\(833\) | 0.0664850 | + | 0.115155i | 0.00230357 | + | 0.00398990i | ||||
\(834\) | −44.9053 | − | 32.2498i | −1.55494 | − | 1.11672i | ||||
\(835\) | 0.823797 | + | 12.5687i | 0.0285087 | + | 0.434958i | ||||
\(836\) | 5.05244 | − | 3.17328i | 0.174742 | − | 0.109750i | ||||
\(837\) | 39.3113 | + | 1.03083i | 1.35880 | + | 0.0356308i | ||||
\(838\) | −35.6185 | − | 11.3565i | −1.23042 | − | 0.392304i | ||||
\(839\) | −14.0814 | − | 1.85385i | −0.486144 | − | 0.0640021i | −0.116529 | − | 0.993187i | \(-0.537177\pi\) |
−0.369614 | + | 0.929185i | \(0.620510\pi\) | |||||||
\(840\) | −3.90877 | − | 11.3863i | −0.134865 | − | 0.392864i | ||||
\(841\) | −16.9054 | + | 2.22564i | −0.582946 | + | 0.0767463i | ||||
\(842\) | −8.20842 | + | 45.6927i | −0.282881 | + | 1.57468i | ||||
\(843\) | −19.7705 | − | 21.9579i | −0.680931 | − | 0.756269i | ||||
\(844\) | −37.8298 | + | 27.3657i | −1.30216 | + | 0.941967i | ||||
\(845\) | −11.7387 | − | 2.33498i | −0.403825 | − | 0.0803257i | ||||
\(846\) | 19.3980 | − | 12.3886i | 0.666918 | − | 0.425928i | ||||
\(847\) | −19.9198 | + | 19.9198i | −0.684453 | + | 0.684453i | ||||
\(848\) | −0.0900235 | − | 10.0504i | −0.00309142 | − | 0.345132i | ||||
\(849\) | −0.374995 | − | 28.6725i | −0.0128698 | − | 0.984037i | ||||
\(850\) | −12.7658 | − | 12.2995i | −0.437862 | − | 0.421868i | ||||
\(851\) | 0.389868 | − | 0.132342i | 0.0133645 | − | 0.00453663i | ||||
\(852\) | −24.2998 | − | 0.368623i | −0.832499 | − | 0.0126288i | ||||
\(853\) | −31.8626 | + | 15.7129i | −1.09095 | + | 0.537999i | −0.896559 | − | 0.442925i | \(-0.853941\pi\) |
−0.194395 | + | 0.980923i | \(0.562274\pi\) | |||||||
\(854\) | 27.2158 | − | 2.29293i | 0.931305 | − | 0.0784625i | ||||
\(855\) | 9.29177 | + | 11.4750i | 0.317772 | + | 0.392435i | ||||
\(856\) | −0.384456 | + | 2.71744i | −0.0131404 | + | 0.0928803i | ||||
\(857\) | −3.81891 | + | 29.0075i | −0.130451 | + | 0.990877i | 0.793555 | + | 0.608499i | \(0.208228\pi\) |
−0.924006 | + | 0.382378i | \(0.875105\pi\) | |||||||
\(858\) | −0.528953 | + | 0.122752i | −0.0180581 | + | 0.00419067i | ||||
\(859\) | −13.7304 | + | 12.0412i | −0.468474 | + | 0.410841i | −0.860767 | − | 0.509000i | \(-0.830015\pi\) |
0.392293 | + | 0.919840i | \(0.371682\pi\) | |||||||
\(860\) | −9.80160 | − | 0.921070i | −0.334232 | − | 0.0314082i | ||||
\(861\) | 3.96571 | + | 3.38712i | 0.135151 | + | 0.115433i | ||||
\(862\) | 13.3948 | − | 18.1456i | 0.456230 | − | 0.618043i | ||||
\(863\) | − | 16.3502i | − | 0.556569i | −0.960499 | − | 0.278284i | \(-0.910234\pi\) | ||
0.960499 | − | 0.278284i | \(-0.0897657\pi\) | |||||||
\(864\) | −5.77315 | − | 28.8214i | −0.196407 | − | 0.980523i | ||||
\(865\) | 12.3617i | 0.420311i | ||||||||
\(866\) | −26.4641 | − | 19.5354i | −0.899286 | − | 0.663839i | ||||
\(867\) | −10.2690 | − | 8.77074i | −0.348752 | − | 0.297870i | ||||
\(868\) | −30.7455 | + | 25.4634i | −1.04357 | + | 0.864286i | ||||
\(869\) | 0.187353 | − | 0.164304i | 0.00635552 | − | 0.00557364i | ||||
\(870\) | −1.78336 | − | 7.68472i | −0.0604615 | − | 0.260536i | ||||
\(871\) | −0.322319 | + | 2.44825i | −0.0109214 | + | 0.0829559i | ||||
\(872\) | 9.02338 | − | 2.32477i | 0.305570 | − | 0.0787266i | ||||
\(873\) | 12.9343 | − | 33.6925i | 0.437759 | − | 1.14032i | ||||
\(874\) | 0.110984 | + | 1.31732i | 0.00375409 | + | 0.0445589i | ||||
\(875\) | 20.1261 | − | 9.92510i | 0.680387 | − | 0.335530i | ||||
\(876\) | 22.0155 | + | 22.6937i | 0.743834 | + | 0.766749i | ||||
\(877\) | −11.9205 | + | 4.04648i | −0.402528 | + | 0.136640i | −0.515359 | − | 0.856974i | \(-0.672341\pi\) |
0.112831 | + | 0.993614i | \(0.464008\pi\) | |||||||
\(878\) | 19.2234 | − | 19.9522i | 0.648757 | − | 0.673354i | ||||
\(879\) | −0.329307 | − | 25.1791i | −0.0111073 | − | 0.849270i | ||||
\(880\) | 0.429072 | + | 2.06046i | 0.0144640 | + | 0.0694581i | ||||
\(881\) | 2.63740 | − | 2.63740i | 0.0888564 | − | 0.0888564i | −0.661281 | − | 0.750138i | \(-0.729987\pi\) |
0.750138 | + | 0.661281i | \(0.229987\pi\) | |||||||
\(882\) | −0.185776 | + | 0.00832040i | −0.00625540 | + | 0.000280162i | ||||
\(883\) | 22.6537 | + | 4.50609i | 0.762357 | + | 0.151642i | 0.560932 | − | 0.827862i | \(-0.310443\pi\) |
0.201425 | + | 0.979504i | \(0.435443\pi\) | |||||||
\(884\) | 0.377441 | − | 2.35160i | 0.0126947 | − | 0.0790930i | ||||
\(885\) | −8.35776 | − | 9.28246i | −0.280943 | − | 0.312026i | ||||
\(886\) | 14.6664 | + | 2.63472i | 0.492726 | + | 0.0885151i | ||||
\(887\) | 8.71696 | − | 1.14761i | 0.292687 | − | 0.0385330i | 0.0172470 | − | 0.999851i | \(-0.494510\pi\) |
0.275440 | + | 0.961318i | \(0.411177\pi\) | |||||||
\(888\) | −0.706416 | + | 11.3761i | −0.0237058 | + | 0.381758i | ||||
\(889\) | 27.5058 | + | 3.62121i | 0.922516 | + | 0.121452i | ||||
\(890\) | 5.84427 | − | 18.3300i | 0.195901 | − | 0.614422i | ||||
\(891\) | 3.54638 | + | 3.64082i | 0.118808 | + | 0.121972i | ||||
\(892\) | 29.6075 | + | 6.76384i | 0.991333 | + | 0.226470i | ||||
\(893\) | −1.87430 | − | 28.5962i | −0.0627209 | − | 0.956936i | ||||
\(894\) | 3.33990 | − | 4.65055i | 0.111703 | − | 0.155538i | ||||
\(895\) | −2.28866 | − | 3.96407i | −0.0765013 | − | 0.132504i | ||||
\(896\) | 23.6607 | + | 18.1814i | 0.790448 | + | 0.607396i | ||||
\(897\) | 0.0296178 | − | 0.116615i | 0.000988911 | − | 0.00389365i | ||||
\(898\) | 5.14300 | + | 34.1443i | 0.171624 | + | 1.13941i | ||||
\(899\) | −21.7516 | + | 14.5339i | −0.725456 | + | 0.484734i | ||||
\(900\) | 23.4924 | − | 7.91985i | 0.783080 | − | 0.263995i | ||||
\(901\) | −7.47619 | + | 1.48711i | −0.249068 | + | 0.0495427i | ||||
\(902\) | −0.613824 | − | 0.674210i | −0.0204381 | − | 0.0224487i | ||||
\(903\) | 8.94351 | − | 22.4163i | 0.297621 | − | 0.745967i | ||||
\(904\) | −8.92514 | − | 47.2467i | −0.296846 | − | 1.57140i | ||||
\(905\) | 17.8731 | − | 2.35304i | 0.594122 | − | 0.0782176i | ||||
\(906\) | 30.8197 | − | 3.00295i | 1.02392 | − | 0.0997663i | ||||
\(907\) | 11.5497 | + | 23.4204i | 0.383500 | + | 0.777662i | 0.999953 | − | 0.00973046i | \(-0.00309735\pi\) |
−0.616452 | + | 0.787392i | \(0.711431\pi\) | |||||||
\(908\) | −11.4688 | + | 4.37530i | −0.380607 | + | 0.145199i | ||||
\(909\) | 6.16369 | − | 35.8654i | 0.204437 | − | 1.18958i | ||||
\(910\) | 1.19390 | + | 0.660001i | 0.0395775 | + | 0.0218788i | ||||
\(911\) | −3.06976 | − | 11.4565i | −0.101706 | − | 0.379571i | 0.896245 | − | 0.443560i | \(-0.146285\pi\) |
−0.997951 | + | 0.0639885i | \(0.979618\pi\) | |||||||
\(912\) | −34.9065 | − | 10.9976i | −1.15587 | − | 0.364167i | ||||
\(913\) | 1.63408 | − | 6.09848i | 0.0540803 | − | 0.201830i | ||||
\(914\) | 27.3415 | − | 28.3781i | 0.904377 | − | 0.938664i | ||||
\(915\) | −0.926993 | − | 11.7804i | −0.0306454 | − | 0.389448i | ||||
\(916\) | −24.5497 | + | 39.8763i | −0.811145 | + | 1.31755i | ||||
\(917\) | 41.6394 | + | 27.8226i | 1.37505 | + | 0.918782i | ||||
\(918\) | −20.6601 | + | 8.37397i | −0.681886 | + | 0.276382i | ||||
\(919\) | 49.6203 | + | 20.5534i | 1.63682 | + | 0.677995i | 0.995972 | − | 0.0896692i | \(-0.0285810\pi\) |
0.640853 | + | 0.767664i | \(0.278581\pi\) | |||||||
\(920\) | −0.449264 | − | 0.125036i | −0.0148118 | − | 0.00412233i | ||||
\(921\) | −6.75040 | + | 5.32145i | −0.222433 | + | 0.175348i | ||||
\(922\) | −42.2258 | − | 27.0920i | −1.39063 | − | 0.892229i | ||||
\(923\) | 2.07052 | − | 1.81580i | 0.0681520 | − | 0.0597677i | ||||
\(924\) | −5.14284 | − | 0.415508i | −0.169187 | − | 0.0136692i | ||||
\(925\) | −9.59278 | + | 0.628744i | −0.315409 | + | 0.0206730i | ||||
\(926\) | 1.91721 | − | 17.0007i | 0.0630033 | − | 0.558676i | ||||
\(927\) | −17.1075 | + | 31.5063i | −0.561884 | + | 1.03480i | ||||
\(928\) | 14.2025 | + | 13.4405i | 0.466220 | + | 0.441206i | ||||
\(929\) | 3.46106 | + | 1.99824i | 0.113554 | + | 0.0655603i | 0.555701 | − | 0.831382i | \(-0.312450\pi\) |
−0.442147 | + | 0.896942i | \(0.645783\pi\) | |||||||
\(930\) | 10.9433 | + | 13.3629i | 0.358844 | + | 0.438186i | ||||
\(931\) | −0.102407 | + | 0.207661i | −0.00335626 | + | 0.00680581i | ||||
\(932\) | −22.2035 | − | 2.08649i | −0.727299 | − | 0.0683454i | ||||
\(933\) | 32.2725 | − | 49.6940i | 1.05656 | − | 1.62691i | ||||
\(934\) | −27.6376 | − | 1.29572i | −0.904330 | − | 0.0423972i | ||||
\(935\) | 1.47470 | − | 0.610841i | 0.0482278 | − | 0.0199766i | ||||
\(936\) | 2.67567 | + | 1.98380i | 0.0874572 | + | 0.0648425i | ||||
\(937\) | −54.2139 | − | 22.4562i | −1.77109 | − | 0.733611i | −0.994636 | − | 0.103440i | \(-0.967015\pi\) |
−0.776457 | − | 0.630171i | \(-0.782985\pi\) | |||||||
\(938\) | −9.98450 | + | 21.2333i | −0.326006 | + | 0.693293i | ||||
\(939\) | 14.8324 | − | 13.3548i | 0.484036 | − | 0.435817i | ||||
\(940\) | 9.68693 | + | 2.89119i | 0.315953 | + | 0.0943001i | ||||
\(941\) | 32.9191 | − | 11.1745i | 1.07313 | − | 0.364280i | 0.271711 | − | 0.962379i | \(-0.412411\pi\) |
0.801422 | + | 0.598099i | \(0.204077\pi\) | |||||||
\(942\) | 25.6353 | − | 15.9039i | 0.835243 | − | 0.518177i | ||||
\(943\) | 0.195143 | − | 0.0522884i | 0.00635472 | − | 0.00170274i | ||||
\(944\) | 29.9757 | + | 7.74487i | 0.975625 | + | 0.252074i | ||||
\(945\) | −0.500836 | − | 12.7590i | −0.0162922 | − | 0.415049i | ||||
\(946\) | −2.04135 | + | 3.69270i | −0.0663702 | + | 0.120060i | ||||
\(947\) | −5.61263 | + | 6.39998i | −0.182386 | + | 0.207971i | −0.835807 | − | 0.549023i | \(-0.815000\pi\) |
0.653421 | + | 0.756995i | \(0.273333\pi\) | |||||||
\(948\) | −1.51230 | − | 0.222483i | −0.0491171 | − | 0.00722592i | ||||
\(949\) | −3.57521 | − | 0.234332i | −0.116056 | − | 0.00760673i | ||||
\(950\) | 5.45779 | − | 30.3812i | 0.177074 | − | 0.985696i | ||||
\(951\) | −36.3465 | − | 27.1419i | −1.17862 | − | 0.880137i | ||||
\(952\) | 10.2045 | − | 20.1993i | 0.330731 | − | 0.654662i | ||||
\(953\) | 12.7651 | + | 30.8176i | 0.413502 | + | 0.998281i | 0.984190 | + | 0.177115i | \(0.0566764\pi\) |
−0.570688 | + | 0.821167i | \(0.693324\pi\) | |||||||
\(954\) | 2.97161 | − | 10.2379i | 0.0962093 | − | 0.331466i | ||||
\(955\) | −14.9904 | + | 2.98177i | −0.485077 | + | 0.0964877i | ||||
\(956\) | −1.37253 | − | 36.8754i | −0.0443906 | − | 1.19264i | ||||
\(957\) | −3.32450 | − | 0.616200i | −0.107466 | − | 0.0199189i | ||||
\(958\) | −16.1415 | + | 41.1160i | −0.521509 | + | 1.32840i | ||||
\(959\) | 13.2299 | + | 22.9149i | 0.427216 | + | 0.739960i | ||||
\(960\) | 7.92270 | − | 10.1933i | 0.255704 | − | 0.328989i | ||||
\(961\) | 13.1377 | − | 22.7552i | 0.423798 | − | 0.734040i | ||||
\(962\) | −0.805206 | − | 1.00990i | −0.0259609 | − | 0.0325605i | ||||
\(963\) | −1.21878 | + | 2.64356i | −0.0392745 | + | 0.0851876i | ||||
\(964\) | −15.1481 | − | 24.1187i | −0.487889 | − | 0.776810i | ||||
\(965\) | −1.31137 | + | 3.86318i | −0.0422146 | + | 0.124360i | ||||
\(966\) | 0.604720 | − | 0.970206i | 0.0194565 | − | 0.0312159i | ||||
\(967\) | −20.5545 | + | 26.7871i | −0.660988 | + | 0.861416i | −0.996752 | − | 0.0805299i | \(-0.974339\pi\) |
0.335764 | + | 0.941946i | \(0.391005\pi\) | |||||||
\(968\) | −29.5719 | − | 6.17930i | −0.950478 | − | 0.198610i | ||||
\(969\) | −3.26274 | + | 27.5639i | −0.104814 | + | 0.885481i | ||||
\(970\) | 14.9126 | − | 5.37352i | 0.478815 | − | 0.172533i | ||||
\(971\) | 11.2946 | − | 16.9035i | 0.362460 | − | 0.542460i | −0.604757 | − | 0.796410i | \(-0.706730\pi\) |
0.967217 | + | 0.253950i | \(0.0817298\pi\) | |||||||
\(972\) | 2.91877 | − | 31.0400i | 0.0936196 | − | 0.995608i | ||||
\(973\) | 58.3846 | + | 11.6134i | 1.87172 | + | 0.372309i | ||||
\(974\) | 15.0116 | + | 24.9187i | 0.481004 | + | 0.798446i | ||||
\(975\) | −1.37273 | + | 2.45111i | −0.0439625 | + | 0.0784985i | ||||
\(976\) | 18.0379 | + | 23.0765i | 0.577380 | + | 0.738662i | ||||
\(977\) | 7.43294 | − | 27.7401i | 0.237801 | − | 0.887485i | −0.739066 | − | 0.673634i | \(-0.764733\pi\) |
0.976866 | − | 0.213851i | \(-0.0686007\pi\) | |||||||
\(978\) | −0.208517 | − | 6.57986i | −0.00666763 | − | 0.210401i | ||||
\(979\) | −6.19945 | − | 5.43677i | −0.198135 | − | 0.173760i | ||||
\(980\) | −0.0561003 | − | 0.0593626i | −0.00179206 | − | 0.00189627i | ||||
\(981\) | 9.87565 | + | 0.388255i | 0.315305 | + | 0.0123960i | ||||
\(982\) | −34.4551 | + | 2.90284i | −1.09951 | + | 0.0926334i | ||||
\(983\) | 5.90577 | − | 4.53165i | 0.188365 | − | 0.144537i | −0.510274 | − | 0.860012i | \(-0.670456\pi\) |
0.698639 | + | 0.715474i | \(0.253789\pi\) | |||||||
\(984\) | −0.710983 | + | 5.54756i | −0.0226653 | + | 0.176850i | ||||
\(985\) | −0.822603 | − | 0.631206i | −0.0262103 | − | 0.0201119i | ||||
\(986\) | 8.00832 | − | 12.4818i | 0.255037 | − | 0.397502i | ||||
\(987\) | −13.4979 | + | 20.7844i | −0.429643 | + | 0.661574i | ||||
\(988\) | 3.76985 | − | 1.72849i | 0.119935 | − | 0.0549906i | ||||
\(989\) | −0.519406 | − | 0.777346i | −0.0165162 | − | 0.0247182i | ||||
\(990\) | −0.192060 | + | 2.22405i | −0.00610408 | + | 0.0706851i | ||||
\(991\) | − | 41.0658i | − | 1.30450i | −0.758005 | − | 0.652249i | \(-0.773826\pi\) | ||
0.758005 | − | 0.652249i | \(-0.226174\pi\) | |||||||
\(992\) | −40.9032 | − | 12.6390i | −1.29868 | − | 0.401288i | ||||
\(993\) | 29.1559 | + | 7.40504i | 0.925236 | + | 0.234992i | ||||
\(994\) | 23.9852 | − | 10.4618i | 0.760764 | − | 0.331829i | ||||
\(995\) | 3.35378 | − | 6.80079i | 0.106322 | − | 0.215599i | ||||
\(996\) | −34.9902 | + | 16.6003i | −1.10871 | + | 0.526000i | ||||
\(997\) | 0.985514 | + | 0.334537i | 0.0312115 | + | 0.0105949i | 0.337002 | − | 0.941504i | \(-0.390587\pi\) |
−0.305790 | + | 0.952099i | \(0.598921\pi\) | |||||||
\(998\) | −23.1899 | + | 11.9773i | −0.734064 | + | 0.379135i | ||||
\(999\) | −4.18478 | + | 11.3421i | −0.132400 | + | 0.358847i |
(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 | 576.2.bm.a.205.52 | yes | 1504 | |
9.4 | even | 3 | inner | 576.2.bm.a.13.12 | ✓ | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.133.12 | yes | 1504 | |
576.517 | even | 48 | inner | 576.2.bm.a.517.52 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.12 | ✓ | 1504 | 9.4 | even | 3 | inner | |
576.2.bm.a.133.12 | yes | 1504 | 64.5 | even | 16 | inner | |
576.2.bm.a.205.52 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.517.52 | yes | 1504 | 576.517 | even | 48 | inner |