Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [961,2,Mod(374,961)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(961, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("961.374");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 961 = 31^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 961.d (of order \(5\), degree \(4\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.67362363425\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{10})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 31) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 388.1 | ||
Root | \(0.809017 - 0.587785i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 961.388 |
Dual form | 961.2.d.d.374.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/961\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.363271i | 0.353553 | − | 0.256872i | −0.396805 | − | 0.917903i | \(-0.629881\pi\) |
0.750358 | + | 0.661031i | \(0.229881\pi\) | |||||||
\(3\) | −1.00000 | − | 0.726543i | −0.577350 | − | 0.419470i | 0.260418 | − | 0.965496i | \(-0.416140\pi\) |
−0.837768 | + | 0.546027i | \(0.816140\pi\) | |||||||
\(4\) | −0.500000 | + | 1.53884i | −0.250000 | + | 0.769421i | ||||
\(5\) | 1.00000 | 0.447214 | 0.223607 | − | 0.974679i | \(-0.428217\pi\) | ||||
0.223607 | + | 0.974679i | \(0.428217\pi\) | |||||||
\(6\) | −0.763932 | −0.311874 | ||||||||
\(7\) | −1.30902 | + | 4.02874i | −0.494762 | + | 1.52272i | 0.322566 | + | 0.946547i | \(0.395455\pi\) |
−0.817327 | + | 0.576173i | \(0.804545\pi\) | |||||||
\(8\) | 0.690983 | + | 2.12663i | 0.244299 | + | 0.751876i | ||||
\(9\) | −0.454915 | − | 1.40008i | −0.151638 | − | 0.466695i | ||||
\(10\) | 0.500000 | − | 0.363271i | 0.158114 | − | 0.114876i | ||||
\(11\) | 0.618034 | − | 1.90211i | 0.186344 | − | 0.573509i | −0.813625 | − | 0.581390i | \(-0.802509\pi\) |
0.999969 | + | 0.00788181i | \(0.00250889\pi\) | |||||||
\(12\) | 1.61803 | − | 1.17557i | 0.467086 | − | 0.339358i | ||||
\(13\) | −1.00000 | − | 0.726543i | −0.277350 | − | 0.201507i | 0.440411 | − | 0.897796i | \(-0.354833\pi\) |
−0.717761 | + | 0.696290i | \(0.754833\pi\) | |||||||
\(14\) | 0.809017 | + | 2.48990i | 0.216219 | + | 0.665453i | ||||
\(15\) | −1.00000 | − | 0.726543i | −0.258199 | − | 0.187592i | ||||
\(16\) | −1.50000 | − | 1.08981i | −0.375000 | − | 0.272453i | ||||
\(17\) | 1.61803 | + | 4.97980i | 0.392431 | + | 1.20778i | 0.930944 | + | 0.365161i | \(0.118986\pi\) |
−0.538513 | + | 0.842617i | \(0.681014\pi\) | |||||||
\(18\) | −0.736068 | − | 0.534785i | −0.173493 | − | 0.126050i | ||||
\(19\) | −1.80902 | + | 1.31433i | −0.415017 | + | 0.301527i | −0.775630 | − | 0.631188i | \(-0.782568\pi\) |
0.360613 | + | 0.932716i | \(0.382568\pi\) | |||||||
\(20\) | −0.500000 | + | 1.53884i | −0.111803 | + | 0.344095i | ||||
\(21\) | 4.23607 | − | 3.07768i | 0.924386 | − | 0.671606i | ||||
\(22\) | −0.381966 | − | 1.17557i | −0.0814354 | − | 0.250632i | ||||
\(23\) | −2.38197 | − | 7.33094i | −0.496674 | − | 1.52861i | −0.814331 | − | 0.580400i | \(-0.802896\pi\) |
0.317657 | − | 0.948206i | \(-0.397104\pi\) | |||||||
\(24\) | 0.854102 | − | 2.62866i | 0.174343 | − | 0.536572i | ||||
\(25\) | −4.00000 | −0.800000 | ||||||||
\(26\) | −0.763932 | −0.149819 | ||||||||
\(27\) | −1.70820 | + | 5.25731i | −0.328744 | + | 1.01177i | ||||
\(28\) | −5.54508 | − | 4.02874i | −1.04792 | − | 0.761360i | ||||
\(29\) | −5.85410 | + | 4.25325i | −1.08708 | + | 0.789809i | −0.978904 | − | 0.204322i | \(-0.934501\pi\) |
−0.108176 | + | 0.994132i | \(0.534501\pi\) | |||||||
\(30\) | −0.763932 | −0.139474 | ||||||||
\(31\) | 0 | 0 | ||||||||
\(32\) | −5.61803 | −0.993137 | ||||||||
\(33\) | −2.00000 | + | 1.45309i | −0.348155 | + | 0.252950i | ||||
\(34\) | 2.61803 | + | 1.90211i | 0.448989 | + | 0.326210i | ||||
\(35\) | −1.30902 | + | 4.02874i | −0.221264 | + | 0.680981i | ||||
\(36\) | 2.38197 | 0.396994 | ||||||||
\(37\) | −2.00000 | −0.328798 | −0.164399 | − | 0.986394i | \(-0.552568\pi\) | ||||
−0.164399 | + | 0.986394i | \(0.552568\pi\) | |||||||
\(38\) | −0.427051 | + | 1.31433i | −0.0692768 | + | 0.213212i | ||||
\(39\) | 0.472136 | + | 1.45309i | 0.0756023 | + | 0.232680i | ||||
\(40\) | 0.690983 | + | 2.12663i | 0.109254 | + | 0.336249i | ||||
\(41\) | −5.66312 | + | 4.11450i | −0.884431 | + | 0.642576i | −0.934420 | − | 0.356173i | \(-0.884081\pi\) |
0.0499893 | + | 0.998750i | \(0.484081\pi\) | |||||||
\(42\) | 1.00000 | − | 3.07768i | 0.154303 | − | 0.474897i | ||||
\(43\) | 2.61803 | − | 1.90211i | 0.399246 | − | 0.290070i | −0.369988 | − | 0.929037i | \(-0.620638\pi\) |
0.769234 | + | 0.638967i | \(0.220638\pi\) | |||||||
\(44\) | 2.61803 | + | 1.90211i | 0.394683 | + | 0.286754i | ||||
\(45\) | −0.454915 | − | 1.40008i | −0.0678147 | − | 0.208712i | ||||
\(46\) | −3.85410 | − | 2.80017i | −0.568256 | − | 0.412862i | ||||
\(47\) | 5.23607 | + | 3.80423i | 0.763759 | + | 0.554903i | 0.900061 | − | 0.435764i | \(-0.143522\pi\) |
−0.136302 | + | 0.990667i | \(0.543522\pi\) | |||||||
\(48\) | 0.708204 | + | 2.17963i | 0.102220 | + | 0.314602i | ||||
\(49\) | −8.85410 | − | 6.43288i | −1.26487 | − | 0.918983i | ||||
\(50\) | −2.00000 | + | 1.45309i | −0.282843 | + | 0.205497i | ||||
\(51\) | 2.00000 | − | 6.15537i | 0.280056 | − | 0.861924i | ||||
\(52\) | 1.61803 | − | 1.17557i | 0.224381 | − | 0.163022i | ||||
\(53\) | −0.472136 | − | 1.45309i | −0.0648529 | − | 0.199597i | 0.913379 | − | 0.407109i | \(-0.133463\pi\) |
−0.978232 | + | 0.207513i | \(0.933463\pi\) | |||||||
\(54\) | 1.05573 | + | 3.24920i | 0.143666 | + | 0.442160i | ||||
\(55\) | 0.618034 | − | 1.90211i | 0.0833357 | − | 0.256481i | ||||
\(56\) | −9.47214 | −1.26577 | ||||||||
\(57\) | 2.76393 | 0.366092 | ||||||||
\(58\) | −1.38197 | + | 4.25325i | −0.181461 | + | 0.558480i | ||||
\(59\) | 1.80902 | + | 1.31433i | 0.235514 | + | 0.171111i | 0.699282 | − | 0.714846i | \(-0.253503\pi\) |
−0.463768 | + | 0.885956i | \(0.653503\pi\) | |||||||
\(60\) | 1.61803 | − | 1.17557i | 0.208887 | − | 0.151765i | ||||
\(61\) | −14.1803 | −1.81561 | −0.907803 | − | 0.419396i | \(-0.862242\pi\) | ||||
−0.907803 | + | 0.419396i | \(0.862242\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 6.23607 | 0.785671 | ||||||||
\(64\) | 0.190983 | − | 0.138757i | 0.0238729 | − | 0.0173447i | ||||
\(65\) | −1.00000 | − | 0.726543i | −0.124035 | − | 0.0901165i | ||||
\(66\) | −0.472136 | + | 1.45309i | −0.0581159 | + | 0.178862i | ||||
\(67\) | 8.00000 | 0.977356 | 0.488678 | − | 0.872464i | \(-0.337479\pi\) | ||||
0.488678 | + | 0.872464i | \(0.337479\pi\) | |||||||
\(68\) | −8.47214 | −1.02740 | ||||||||
\(69\) | −2.94427 | + | 9.06154i | −0.354449 | + | 1.09088i | ||||
\(70\) | 0.809017 | + | 2.48990i | 0.0966960 | + | 0.297600i | ||||
\(71\) | 4.07295 | + | 12.5352i | 0.483370 | + | 1.48766i | 0.834328 | + | 0.551269i | \(0.185856\pi\) |
−0.350958 | + | 0.936391i | \(0.614144\pi\) | |||||||
\(72\) | 2.66312 | − | 1.93487i | 0.313852 | − | 0.228027i | ||||
\(73\) | −0.145898 | + | 0.449028i | −0.0170761 | + | 0.0525547i | −0.959231 | − | 0.282622i | \(-0.908796\pi\) |
0.942155 | + | 0.335176i | \(0.108796\pi\) | |||||||
\(74\) | −1.00000 | + | 0.726543i | −0.116248 | + | 0.0844589i | ||||
\(75\) | 4.00000 | + | 2.90617i | 0.461880 | + | 0.335576i | ||||
\(76\) | −1.11803 | − | 3.44095i | −0.128247 | − | 0.394705i | ||||
\(77\) | 6.85410 | + | 4.97980i | 0.781097 | + | 0.567500i | ||||
\(78\) | 0.763932 | + | 0.555029i | 0.0864983 | + | 0.0628447i | ||||
\(79\) | 0.527864 | + | 1.62460i | 0.0593893 | + | 0.182782i | 0.976350 | − | 0.216196i | \(-0.0693651\pi\) |
−0.916961 | + | 0.398978i | \(0.869365\pi\) | |||||||
\(80\) | −1.50000 | − | 1.08981i | −0.167705 | − | 0.121845i | ||||
\(81\) | 1.95492 | − | 1.42033i | 0.217213 | − | 0.157814i | ||||
\(82\) | −1.33688 | + | 4.11450i | −0.147634 | + | 0.454370i | ||||
\(83\) | −2.38197 | + | 1.73060i | −0.261455 | + | 0.189958i | −0.710788 | − | 0.703406i | \(-0.751662\pi\) |
0.449333 | + | 0.893364i | \(0.351662\pi\) | |||||||
\(84\) | 2.61803 | + | 8.05748i | 0.285651 | + | 0.879143i | ||||
\(85\) | 1.61803 | + | 4.97980i | 0.175500 | + | 0.540135i | ||||
\(86\) | 0.618034 | − | 1.90211i | 0.0666443 | − | 0.205110i | ||||
\(87\) | 8.94427 | 0.958927 | ||||||||
\(88\) | 4.47214 | 0.476731 | ||||||||
\(89\) | −0.527864 | + | 1.62460i | −0.0559535 | + | 0.172207i | −0.975128 | − | 0.221644i | \(-0.928858\pi\) |
0.919174 | + | 0.393852i | \(0.128858\pi\) | |||||||
\(90\) | −0.736068 | − | 0.534785i | −0.0775884 | − | 0.0563713i | ||||
\(91\) | 4.23607 | − | 3.07768i | 0.444061 | − | 0.322629i | ||||
\(92\) | 12.4721 | 1.30031 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.00000 | 0.412568 | ||||||||
\(95\) | −1.80902 | + | 1.31433i | −0.185601 | + | 0.134847i | ||||
\(96\) | 5.61803 | + | 4.08174i | 0.573388 | + | 0.416591i | ||||
\(97\) | 0.600813 | − | 1.84911i | 0.0610033 | − | 0.187749i | −0.915911 | − | 0.401382i | \(-0.868530\pi\) |
0.976914 | + | 0.213634i | \(0.0685298\pi\) | |||||||
\(98\) | −6.76393 | −0.683260 | ||||||||
\(99\) | −2.94427 | −0.295910 | ||||||||
\(100\) | 2.00000 | − | 6.15537i | 0.200000 | − | 0.615537i | ||||
\(101\) | −0.927051 | − | 2.85317i | −0.0922450 | − | 0.283901i | 0.894281 | − | 0.447506i | \(-0.147688\pi\) |
−0.986526 | + | 0.163605i | \(0.947688\pi\) | |||||||
\(102\) | −1.23607 | − | 3.80423i | −0.122389 | − | 0.376675i | ||||
\(103\) | −1.42705 | + | 1.03681i | −0.140612 | + | 0.102160i | −0.655867 | − | 0.754876i | \(-0.727697\pi\) |
0.515256 | + | 0.857036i | \(0.327697\pi\) | |||||||
\(104\) | 0.854102 | − | 2.62866i | 0.0837516 | − | 0.257761i | ||||
\(105\) | 4.23607 | − | 3.07768i | 0.413398 | − | 0.300351i | ||||
\(106\) | −0.763932 | − | 0.555029i | −0.0741996 | − | 0.0539092i | ||||
\(107\) | 3.16312 | + | 9.73508i | 0.305790 | + | 0.941126i | 0.979381 | + | 0.202021i | \(0.0647510\pi\) |
−0.673591 | + | 0.739104i | \(0.735249\pi\) | |||||||
\(108\) | −7.23607 | − | 5.25731i | −0.696291 | − | 0.505885i | ||||
\(109\) | −3.19098 | − | 2.31838i | −0.305641 | − | 0.222061i | 0.424383 | − | 0.905483i | \(-0.360491\pi\) |
−0.730024 | + | 0.683422i | \(0.760491\pi\) | |||||||
\(110\) | −0.381966 | − | 1.17557i | −0.0364190 | − | 0.112086i | ||||
\(111\) | 2.00000 | + | 1.45309i | 0.189832 | + | 0.137921i | ||||
\(112\) | 6.35410 | − | 4.61653i | 0.600406 | − | 0.436221i | ||||
\(113\) | −1.69098 | + | 5.20431i | −0.159074 | + | 0.489580i | −0.998551 | − | 0.0538155i | \(-0.982862\pi\) |
0.839477 | + | 0.543396i | \(0.182862\pi\) | |||||||
\(114\) | 1.38197 | − | 1.00406i | 0.129433 | − | 0.0940386i | ||||
\(115\) | −2.38197 | − | 7.33094i | −0.222119 | − | 0.683613i | ||||
\(116\) | −3.61803 | − | 11.1352i | −0.335926 | − | 1.03387i | ||||
\(117\) | −0.562306 | + | 1.73060i | −0.0519852 | + | 0.159994i | ||||
\(118\) | 1.38197 | 0.127220 | ||||||||
\(119\) | −22.1803 | −2.03327 | ||||||||
\(120\) | 0.854102 | − | 2.62866i | 0.0779685 | − | 0.239962i | ||||
\(121\) | 5.66312 | + | 4.11450i | 0.514829 | + | 0.374045i | ||||
\(122\) | −7.09017 | + | 5.15131i | −0.641914 | + | 0.466378i | ||||
\(123\) | 8.65248 | 0.780167 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −9.00000 | −0.804984 | ||||||||
\(126\) | 3.11803 | − | 2.26538i | 0.277777 | − | 0.201816i | ||||
\(127\) | −2.85410 | − | 2.07363i | −0.253261 | − | 0.184005i | 0.453910 | − | 0.891048i | \(-0.350029\pi\) |
−0.707171 | + | 0.707043i | \(0.750029\pi\) | |||||||
\(128\) | 3.51722 | − | 10.8249i | 0.310881 | − | 0.956794i | ||||
\(129\) | −4.00000 | −0.352180 | ||||||||
\(130\) | −0.763932 | −0.0670013 | ||||||||
\(131\) | 3.70820 | − | 11.4127i | 0.323987 | − | 0.997130i | −0.647908 | − | 0.761718i | \(-0.724356\pi\) |
0.971896 | − | 0.235412i | \(-0.0756440\pi\) | |||||||
\(132\) | −1.23607 | − | 3.80423i | −0.107586 | − | 0.331115i | ||||
\(133\) | −2.92705 | − | 9.00854i | −0.253808 | − | 0.781139i | ||||
\(134\) | 4.00000 | − | 2.90617i | 0.345547 | − | 0.251055i | ||||
\(135\) | −1.70820 | + | 5.25731i | −0.147019 | + | 0.452477i | ||||
\(136\) | −9.47214 | + | 6.88191i | −0.812229 | + | 0.590119i | ||||
\(137\) | −15.9443 | − | 11.5842i | −1.36221 | − | 0.989704i | −0.998301 | − | 0.0582703i | \(-0.981441\pi\) |
−0.363910 | − | 0.931434i | \(-0.618559\pi\) | |||||||
\(138\) | 1.81966 | + | 5.60034i | 0.154900 | + | 0.476732i | ||||
\(139\) | 10.8541 | + | 7.88597i | 0.920633 | + | 0.668879i | 0.943681 | − | 0.330855i | \(-0.107337\pi\) |
−0.0230486 | + | 0.999734i | \(0.507337\pi\) | |||||||
\(140\) | −5.54508 | − | 4.02874i | −0.468645 | − | 0.340491i | ||||
\(141\) | −2.47214 | − | 7.60845i | −0.208191 | − | 0.640747i | ||||
\(142\) | 6.59017 | + | 4.78804i | 0.553035 | + | 0.401803i | ||||
\(143\) | −2.00000 | + | 1.45309i | −0.167248 | + | 0.121513i | ||||
\(144\) | −0.843459 | + | 2.59590i | −0.0702882 | + | 0.216325i | ||||
\(145\) | −5.85410 | + | 4.25325i | −0.486157 | + | 0.353214i | ||||
\(146\) | 0.0901699 | + | 0.277515i | 0.00746252 | + | 0.0229673i | ||||
\(147\) | 4.18034 | + | 12.8658i | 0.344789 | + | 1.06115i | ||||
\(148\) | 1.00000 | − | 3.07768i | 0.0821995 | − | 0.252984i | ||||
\(149\) | 10.0000 | 0.819232 | 0.409616 | − | 0.912258i | \(-0.365663\pi\) | ||||
0.409616 | + | 0.912258i | \(0.365663\pi\) | |||||||
\(150\) | 3.05573 | 0.249499 | ||||||||
\(151\) | 2.52786 | − | 7.77997i | 0.205715 | − | 0.633125i | −0.793969 | − | 0.607959i | \(-0.791989\pi\) |
0.999683 | − | 0.0251659i | \(-0.00801140\pi\) | |||||||
\(152\) | −4.04508 | − | 2.93893i | −0.328100 | − | 0.238378i | ||||
\(153\) | 6.23607 | − | 4.53077i | 0.504156 | − | 0.366291i | ||||
\(154\) | 5.23607 | 0.421934 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −2.47214 | −0.197929 | ||||||||
\(157\) | 12.0451 | − | 8.75127i | 0.961302 | − | 0.698427i | 0.00784957 | − | 0.999969i | \(-0.497501\pi\) |
0.953453 | + | 0.301542i | \(0.0975014\pi\) | |||||||
\(158\) | 0.854102 | + | 0.620541i | 0.0679487 | + | 0.0493676i | ||||
\(159\) | −0.583592 | + | 1.79611i | −0.0462819 | + | 0.142441i | ||||
\(160\) | −5.61803 | −0.444145 | ||||||||
\(161\) | 32.6525 | 2.57338 | ||||||||
\(162\) | 0.461493 | − | 1.42033i | 0.0362583 | − | 0.111592i | ||||
\(163\) | −0.836881 | − | 2.57565i | −0.0655496 | − | 0.201741i | 0.912917 | − | 0.408144i | \(-0.133824\pi\) |
−0.978467 | + | 0.206404i | \(0.933824\pi\) | |||||||
\(164\) | −3.50000 | − | 10.7719i | −0.273304 | − | 0.841143i | ||||
\(165\) | −2.00000 | + | 1.45309i | −0.155700 | + | 0.113123i | ||||
\(166\) | −0.562306 | + | 1.73060i | −0.0436434 | + | 0.134321i | ||||
\(167\) | −2.00000 | + | 1.45309i | −0.154765 | + | 0.112443i | −0.662473 | − | 0.749086i | \(-0.730493\pi\) |
0.507708 | + | 0.861529i | \(0.330493\pi\) | |||||||
\(168\) | 9.47214 | + | 6.88191i | 0.730791 | + | 0.530951i | ||||
\(169\) | −3.54508 | − | 10.9106i | −0.272699 | − | 0.839281i | ||||
\(170\) | 2.61803 | + | 1.90211i | 0.200794 | + | 0.145885i | ||||
\(171\) | 2.66312 | + | 1.93487i | 0.203654 | + | 0.147963i | ||||
\(172\) | 1.61803 | + | 4.97980i | 0.123374 | + | 0.379706i | ||||
\(173\) | 12.0902 | + | 8.78402i | 0.919199 | + | 0.667837i | 0.943324 | − | 0.331872i | \(-0.107680\pi\) |
−0.0241258 | + | 0.999709i | \(0.507680\pi\) | |||||||
\(174\) | 4.47214 | − | 3.24920i | 0.339032 | − | 0.246321i | ||||
\(175\) | 5.23607 | − | 16.1150i | 0.395810 | − | 1.21818i | ||||
\(176\) | −3.00000 | + | 2.17963i | −0.226134 | + | 0.164296i | ||||
\(177\) | −0.854102 | − | 2.62866i | −0.0641982 | − | 0.197582i | ||||
\(178\) | 0.326238 | + | 1.00406i | 0.0244526 | + | 0.0752573i | ||||
\(179\) | −3.61803 | + | 11.1352i | −0.270425 | + | 0.832281i | 0.719969 | + | 0.694006i | \(0.244156\pi\) |
−0.990394 | + | 0.138275i | \(0.955844\pi\) | |||||||
\(180\) | 2.38197 | 0.177541 | ||||||||
\(181\) | 18.1803 | 1.35133 | 0.675667 | − | 0.737207i | \(-0.263856\pi\) | ||||
0.675667 | + | 0.737207i | \(0.263856\pi\) | |||||||
\(182\) | 1.00000 | − | 3.07768i | 0.0741249 | − | 0.228133i | ||||
\(183\) | 14.1803 | + | 10.3026i | 1.04824 | + | 0.761592i | ||||
\(184\) | 13.9443 | − | 10.1311i | 1.02799 | − | 0.746875i | ||||
\(185\) | −2.00000 | −0.147043 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 10.4721 | 0.765798 | ||||||||
\(188\) | −8.47214 | + | 6.15537i | −0.617894 | + | 0.448926i | ||||
\(189\) | −18.9443 | − | 13.7638i | −1.37799 | − | 1.00117i | ||||
\(190\) | −0.427051 | + | 1.31433i | −0.0309815 | + | 0.0953514i | ||||
\(191\) | 3.18034 | 0.230121 | 0.115061 | − | 0.993358i | \(-0.463294\pi\) | ||||
0.115061 | + | 0.993358i | \(0.463294\pi\) | |||||||
\(192\) | −0.291796 | −0.0210586 | ||||||||
\(193\) | −1.69098 | + | 5.20431i | −0.121720 | + | 0.374614i | −0.993289 | − | 0.115657i | \(-0.963103\pi\) |
0.871570 | + | 0.490272i | \(0.163103\pi\) | |||||||
\(194\) | −0.371323 | − | 1.14281i | −0.0266594 | − | 0.0820493i | ||||
\(195\) | 0.472136 | + | 1.45309i | 0.0338104 | + | 0.104058i | ||||
\(196\) | 14.3262 | − | 10.4086i | 1.02330 | − | 0.743473i | ||||
\(197\) | −4.76393 | + | 14.6619i | −0.339416 | + | 1.04462i | 0.625090 | + | 0.780553i | \(0.285062\pi\) |
−0.964506 | + | 0.264062i | \(0.914938\pi\) | |||||||
\(198\) | −1.47214 | + | 1.06957i | −0.104620 | + | 0.0760110i | ||||
\(199\) | 0.854102 | + | 0.620541i | 0.0605457 | + | 0.0439890i | 0.617646 | − | 0.786456i | \(-0.288086\pi\) |
−0.557101 | + | 0.830445i | \(0.688086\pi\) | |||||||
\(200\) | −2.76393 | − | 8.50651i | −0.195440 | − | 0.601501i | ||||
\(201\) | −8.00000 | − | 5.81234i | −0.564276 | − | 0.409971i | ||||
\(202\) | −1.50000 | − | 1.08981i | −0.105540 | − | 0.0766790i | ||||
\(203\) | −9.47214 | − | 29.1522i | −0.664814 | − | 2.04609i | ||||
\(204\) | 8.47214 | + | 6.15537i | 0.593168 | + | 0.430962i | ||||
\(205\) | −5.66312 | + | 4.11450i | −0.395529 | + | 0.287369i | ||||
\(206\) | −0.336881 | + | 1.03681i | −0.0234716 | + | 0.0722382i | ||||
\(207\) | −9.18034 | + | 6.66991i | −0.638078 | + | 0.463591i | ||||
\(208\) | 0.708204 | + | 2.17963i | 0.0491051 | + | 0.151130i | ||||
\(209\) | 1.38197 | + | 4.25325i | 0.0955926 | + | 0.294204i | ||||
\(210\) | 1.00000 | − | 3.07768i | 0.0690066 | − | 0.212380i | ||||
\(211\) | 0.819660 | 0.0564277 | 0.0282139 | − | 0.999602i | \(-0.491018\pi\) | ||||
0.0282139 | + | 0.999602i | \(0.491018\pi\) | |||||||
\(212\) | 2.47214 | 0.169787 | ||||||||
\(213\) | 5.03444 | − | 15.4944i | 0.344954 | − | 1.06166i | ||||
\(214\) | 5.11803 | + | 3.71847i | 0.349862 | + | 0.254189i | ||||
\(215\) | 2.61803 | − | 1.90211i | 0.178548 | − | 0.129723i | ||||
\(216\) | −12.3607 | −0.841038 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −2.43769 | −0.165101 | ||||||||
\(219\) | 0.472136 | − | 0.343027i | 0.0319040 | − | 0.0231796i | ||||
\(220\) | 2.61803 | + | 1.90211i | 0.176508 | + | 0.128240i | ||||
\(221\) | 2.00000 | − | 6.15537i | 0.134535 | − | 0.414055i | ||||
\(222\) | 1.52786 | 0.102544 | ||||||||
\(223\) | 4.00000 | 0.267860 | 0.133930 | − | 0.990991i | \(-0.457240\pi\) | ||||
0.133930 | + | 0.990991i | \(0.457240\pi\) | |||||||
\(224\) | 7.35410 | − | 22.6336i | 0.491367 | − | 1.51227i | ||||
\(225\) | 1.81966 | + | 5.60034i | 0.121311 | + | 0.373356i | ||||
\(226\) | 1.04508 | + | 3.21644i | 0.0695180 | + | 0.213954i | ||||
\(227\) | −2.00000 | + | 1.45309i | −0.132745 | + | 0.0964446i | −0.652176 | − | 0.758067i | \(-0.726144\pi\) |
0.519431 | + | 0.854512i | \(0.326144\pi\) | |||||||
\(228\) | −1.38197 | + | 4.25325i | −0.0915229 | + | 0.281679i | ||||
\(229\) | −10.8541 | + | 7.88597i | −0.717259 | + | 0.521119i | −0.885507 | − | 0.464625i | \(-0.846189\pi\) |
0.168248 | + | 0.985745i | \(0.446189\pi\) | |||||||
\(230\) | −3.85410 | − | 2.80017i | −0.254132 | − | 0.184638i | ||||
\(231\) | −3.23607 | − | 9.95959i | −0.212918 | − | 0.655293i | ||||
\(232\) | −13.0902 | − | 9.51057i | −0.859412 | − | 0.624399i | ||||
\(233\) | −0.0450850 | − | 0.0327561i | −0.00295361 | − | 0.00214593i | 0.586307 | − | 0.810089i | \(-0.300581\pi\) |
−0.589261 | + | 0.807943i | \(0.700581\pi\) | |||||||
\(234\) | 0.347524 | + | 1.06957i | 0.0227184 | + | 0.0699199i | ||||
\(235\) | 5.23607 | + | 3.80423i | 0.341563 | + | 0.248160i | ||||
\(236\) | −2.92705 | + | 2.12663i | −0.190535 | + | 0.138432i | ||||
\(237\) | 0.652476 | − | 2.00811i | 0.0423829 | − | 0.130441i | ||||
\(238\) | −11.0902 | + | 8.05748i | −0.718869 | + | 0.522289i | ||||
\(239\) | 0.527864 | + | 1.62460i | 0.0341447 | + | 0.105087i | 0.966676 | − | 0.256002i | \(-0.0824053\pi\) |
−0.932532 | + | 0.361088i | \(0.882405\pi\) | |||||||
\(240\) | 0.708204 | + | 2.17963i | 0.0457144 | + | 0.140694i | ||||
\(241\) | −9.38197 | + | 28.8747i | −0.604346 | + | 1.85998i | −0.103117 | + | 0.994669i | \(0.532882\pi\) |
−0.501228 | + | 0.865315i | \(0.667118\pi\) | |||||||
\(242\) | 4.32624 | 0.278101 | ||||||||
\(243\) | 13.5967 | 0.872232 | ||||||||
\(244\) | 7.09017 | − | 21.8213i | 0.453902 | − | 1.39697i | ||||
\(245\) | −8.85410 | − | 6.43288i | −0.565668 | − | 0.410982i | ||||
\(246\) | 4.32624 | − | 3.14320i | 0.275831 | − | 0.200403i | ||||
\(247\) | 2.76393 | 0.175865 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 3.63932 | 0.230633 | ||||||||
\(250\) | −4.50000 | + | 3.26944i | −0.284605 | + | 0.206778i | ||||
\(251\) | 19.5623 | + | 14.2128i | 1.23476 | + | 0.897107i | 0.997238 | − | 0.0742747i | \(-0.0236642\pi\) |
0.237524 | + | 0.971382i | \(0.423664\pi\) | |||||||
\(252\) | −3.11803 | + | 9.59632i | −0.196418 | + | 0.604511i | ||||
\(253\) | −15.4164 | −0.969221 | ||||||||
\(254\) | −2.18034 | −0.136807 | ||||||||
\(255\) | 2.00000 | − | 6.15537i | 0.125245 | − | 0.385464i | ||||
\(256\) | −2.02786 | − | 6.24112i | −0.126742 | − | 0.390070i | ||||
\(257\) | −4.92705 | − | 15.1639i | −0.307341 | − | 0.945898i | −0.978793 | − | 0.204851i | \(-0.934329\pi\) |
0.671452 | − | 0.741048i | \(-0.265671\pi\) | |||||||
\(258\) | −2.00000 | + | 1.45309i | −0.124515 | + | 0.0904651i | ||||
\(259\) | 2.61803 | − | 8.05748i | 0.162677 | − | 0.500667i | ||||
\(260\) | 1.61803 | − | 1.17557i | 0.100346 | − | 0.0729058i | ||||
\(261\) | 8.61803 | + | 6.26137i | 0.533443 | + | 0.387569i | ||||
\(262\) | −2.29180 | − | 7.05342i | −0.141588 | − | 0.435762i | ||||
\(263\) | 15.1803 | + | 11.0292i | 0.936060 | + | 0.680087i | 0.947469 | − | 0.319848i | \(-0.103632\pi\) |
−0.0114091 | + | 0.999935i | \(0.503632\pi\) | |||||||
\(264\) | −4.47214 | − | 3.24920i | −0.275241 | − | 0.199974i | ||||
\(265\) | −0.472136 | − | 1.45309i | −0.0290031 | − | 0.0892623i | ||||
\(266\) | −4.73607 | − | 3.44095i | −0.290387 | − | 0.210978i | ||||
\(267\) | 1.70820 | − | 1.24108i | 0.104540 | − | 0.0759530i | ||||
\(268\) | −4.00000 | + | 12.3107i | −0.244339 | + | 0.751998i | ||||
\(269\) | 23.4164 | − | 17.0130i | 1.42772 | − | 1.03730i | 0.437289 | − | 0.899321i | \(-0.355939\pi\) |
0.990435 | − | 0.137981i | \(-0.0440612\pi\) | |||||||
\(270\) | 1.05573 | + | 3.24920i | 0.0642496 | + | 0.197740i | ||||
\(271\) | 2.52786 | + | 7.77997i | 0.153557 | + | 0.472599i | 0.998012 | − | 0.0630273i | \(-0.0200755\pi\) |
−0.844455 | + | 0.535627i | \(0.820076\pi\) | |||||||
\(272\) | 3.00000 | − | 9.23305i | 0.181902 | − | 0.559836i | ||||
\(273\) | −6.47214 | −0.391711 | ||||||||
\(274\) | −12.1803 | −0.735841 | ||||||||
\(275\) | −2.47214 | + | 7.60845i | −0.149075 | + | 0.458807i | ||||
\(276\) | −12.4721 | − | 9.06154i | −0.750734 | − | 0.545440i | ||||
\(277\) | −15.0902 | + | 10.9637i | −0.906680 | + | 0.658742i | −0.940173 | − | 0.340697i | \(-0.889337\pi\) |
0.0334927 | + | 0.999439i | \(0.489337\pi\) | |||||||
\(278\) | 8.29180 | 0.497309 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −9.47214 | −0.566068 | ||||||||
\(281\) | −13.7533 | + | 9.99235i | −0.820452 | + | 0.596094i | −0.916842 | − | 0.399250i | \(-0.869271\pi\) |
0.0963896 | + | 0.995344i | \(0.469271\pi\) | |||||||
\(282\) | −4.00000 | − | 2.90617i | −0.238197 | − | 0.173060i | ||||
\(283\) | 6.76393 | − | 20.8172i | 0.402074 | − | 1.23746i | −0.521240 | − | 0.853410i | \(-0.674530\pi\) |
0.923314 | − | 0.384046i | \(-0.125470\pi\) | |||||||
\(284\) | −21.3262 | −1.26548 | ||||||||
\(285\) | 2.76393 | 0.163721 | ||||||||
\(286\) | −0.472136 | + | 1.45309i | −0.0279180 | + | 0.0859227i | ||||
\(287\) | −9.16312 | − | 28.2012i | −0.540882 | − | 1.66466i | ||||
\(288\) | 2.55573 | + | 7.86572i | 0.150598 | + | 0.463492i | ||||
\(289\) | −8.42705 | + | 6.12261i | −0.495709 | + | 0.360154i | ||||
\(290\) | −1.38197 | + | 4.25325i | −0.0811518 | + | 0.249760i | ||||
\(291\) | −1.94427 | + | 1.41260i | −0.113975 | + | 0.0828079i | ||||
\(292\) | −0.618034 | − | 0.449028i | −0.0361677 | − | 0.0262774i | ||||
\(293\) | 2.61803 | + | 8.05748i | 0.152947 | + | 0.470723i | 0.997947 | − | 0.0640434i | \(-0.0203996\pi\) |
−0.845000 | + | 0.534766i | \(0.820400\pi\) | |||||||
\(294\) | 6.76393 | + | 4.91428i | 0.394481 | + | 0.286607i | ||||
\(295\) | 1.80902 | + | 1.31433i | 0.105325 | + | 0.0765231i | ||||
\(296\) | −1.38197 | − | 4.25325i | −0.0803251 | − | 0.247215i | ||||
\(297\) | 8.94427 | + | 6.49839i | 0.518999 | + | 0.377075i | ||||
\(298\) | 5.00000 | − | 3.63271i | 0.289642 | − | 0.210437i | ||||
\(299\) | −2.94427 | + | 9.06154i | −0.170272 | + | 0.524042i | ||||
\(300\) | −6.47214 | + | 4.70228i | −0.373669 | + | 0.271486i | ||||
\(301\) | 4.23607 | + | 13.0373i | 0.244163 | + | 0.751456i | ||||
\(302\) | −1.56231 | − | 4.80828i | −0.0899006 | − | 0.276686i | ||||
\(303\) | −1.14590 | + | 3.52671i | −0.0658301 | + | 0.202604i | ||||
\(304\) | 4.14590 | 0.237784 | ||||||||
\(305\) | −14.1803 | −0.811964 | ||||||||
\(306\) | 1.47214 | − | 4.53077i | 0.0841564 | − | 0.259007i | ||||
\(307\) | 12.3713 | + | 8.98829i | 0.706069 | + | 0.512989i | 0.881903 | − | 0.471431i | \(-0.156262\pi\) |
−0.175834 | + | 0.984420i | \(0.556262\pi\) | |||||||
\(308\) | −11.0902 | + | 8.05748i | −0.631921 | + | 0.459118i | ||||
\(309\) | 2.18034 | 0.124035 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −6.81966 | −0.386707 | −0.193354 | − | 0.981129i | \(-0.561936\pi\) | ||||
−0.193354 | + | 0.981129i | \(0.561936\pi\) | |||||||
\(312\) | −2.76393 | + | 2.00811i | −0.156477 | + | 0.113687i | ||||
\(313\) | −17.1803 | − | 12.4822i | −0.971090 | − | 0.705538i | −0.0153904 | − | 0.999882i | \(-0.504899\pi\) |
−0.955700 | + | 0.294343i | \(0.904899\pi\) | |||||||
\(314\) | 2.84346 | − | 8.75127i | 0.160466 | − | 0.493863i | ||||
\(315\) | 6.23607 | 0.351363 | ||||||||
\(316\) | −2.76393 | −0.155483 | ||||||||
\(317\) | 6.78115 | − | 20.8702i | 0.380867 | − | 1.17219i | −0.558567 | − | 0.829460i | \(-0.688648\pi\) |
0.939434 | − | 0.342730i | \(-0.111352\pi\) | |||||||
\(318\) | 0.360680 | + | 1.11006i | 0.0202259 | + | 0.0622490i | ||||
\(319\) | 4.47214 | + | 13.7638i | 0.250392 | + | 0.770626i | ||||
\(320\) | 0.190983 | − | 0.138757i | 0.0106763 | − | 0.00775677i | ||||
\(321\) | 3.90983 | − | 12.0332i | 0.218225 | − | 0.671629i | ||||
\(322\) | 16.3262 | − | 11.8617i | 0.909826 | − | 0.661027i | ||||
\(323\) | −9.47214 | − | 6.88191i | −0.527044 | − | 0.382920i | ||||
\(324\) | 1.20820 | + | 3.71847i | 0.0671224 | + | 0.206582i | ||||
\(325\) | 4.00000 | + | 2.90617i | 0.221880 | + | 0.161205i | ||||
\(326\) | −1.35410 | − | 0.983813i | −0.0749968 | − | 0.0544883i | ||||
\(327\) | 1.50658 | + | 4.63677i | 0.0833139 | + | 0.256414i | ||||
\(328\) | −12.6631 | − | 9.20029i | −0.699204 | − | 0.508001i | ||||
\(329\) | −22.1803 | + | 16.1150i | −1.22284 | + | 0.888447i | ||||
\(330\) | −0.472136 | + | 1.45309i | −0.0259902 | + | 0.0799897i | ||||
\(331\) | −1.61803 | + | 1.17557i | −0.0889352 | + | 0.0646152i | −0.631364 | − | 0.775486i | \(-0.717505\pi\) |
0.542429 | + | 0.840102i | \(0.317505\pi\) | |||||||
\(332\) | −1.47214 | − | 4.53077i | −0.0807940 | − | 0.248658i | ||||
\(333\) | 0.909830 | + | 2.80017i | 0.0498584 | + | 0.153448i | ||||
\(334\) | −0.472136 | + | 1.45309i | −0.0258341 | + | 0.0795093i | ||||
\(335\) | 8.00000 | 0.437087 | ||||||||
\(336\) | −9.70820 | −0.529626 | ||||||||
\(337\) | −5.94427 | + | 18.2946i | −0.323805 | + | 0.996570i | 0.648172 | + | 0.761494i | \(0.275534\pi\) |
−0.971977 | + | 0.235076i | \(0.924466\pi\) | |||||||
\(338\) | −5.73607 | − | 4.16750i | −0.312001 | − | 0.226682i | ||||
\(339\) | 5.47214 | − | 3.97574i | 0.297206 | − | 0.215933i | ||||
\(340\) | −8.47214 | −0.459466 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 2.03444 | 0.110010 | ||||||||
\(343\) | 13.5172 | − | 9.82084i | 0.729861 | − | 0.530275i | ||||
\(344\) | 5.85410 | + | 4.25325i | 0.315632 | + | 0.229320i | ||||
\(345\) | −2.94427 | + | 9.06154i | −0.158514 | + | 0.487857i | ||||
\(346\) | 9.23607 | 0.496534 | ||||||||
\(347\) | 1.81966 | 0.0976845 | 0.0488422 | − | 0.998807i | \(-0.484447\pi\) | ||||
0.0488422 | + | 0.998807i | \(0.484447\pi\) | |||||||
\(348\) | −4.47214 | + | 13.7638i | −0.239732 | + | 0.737818i | ||||
\(349\) | 8.61803 | + | 26.5236i | 0.461313 | + | 1.41977i | 0.863561 | + | 0.504244i | \(0.168229\pi\) |
−0.402248 | + | 0.915531i | \(0.631771\pi\) | |||||||
\(350\) | −3.23607 | − | 9.95959i | −0.172975 | − | 0.532363i | ||||
\(351\) | 5.52786 | − | 4.01623i | 0.295056 | − | 0.214370i | ||||
\(352\) | −3.47214 | + | 10.6861i | −0.185065 | + | 0.569573i | ||||
\(353\) | 15.7082 | − | 11.4127i | 0.836063 | − | 0.607436i | −0.0852049 | − | 0.996363i | \(-0.527154\pi\) |
0.921268 | + | 0.388928i | \(0.127154\pi\) | |||||||
\(354\) | −1.38197 | − | 1.00406i | −0.0734507 | − | 0.0533650i | ||||
\(355\) | 4.07295 | + | 12.5352i | 0.216170 | + | 0.665302i | ||||
\(356\) | −2.23607 | − | 1.62460i | −0.118511 | − | 0.0861035i | ||||
\(357\) | 22.1803 | + | 16.1150i | 1.17391 | + | 0.852894i | ||||
\(358\) | 2.23607 | + | 6.88191i | 0.118180 | + | 0.363720i | ||||
\(359\) | −14.3713 | − | 10.4414i | −0.758489 | − | 0.551075i | 0.139957 | − | 0.990158i | \(-0.455303\pi\) |
−0.898447 | + | 0.439083i | \(0.855303\pi\) | |||||||
\(360\) | 2.66312 | − | 1.93487i | 0.140359 | − | 0.101977i | ||||
\(361\) | −4.32624 | + | 13.3148i | −0.227697 | + | 0.700778i | ||||
\(362\) | 9.09017 | − | 6.60440i | 0.477769 | − | 0.347119i | ||||
\(363\) | −2.67376 | − | 8.22899i | −0.140336 | − | 0.431910i | ||||
\(364\) | 2.61803 | + | 8.05748i | 0.137222 | + | 0.422327i | ||||
\(365\) | −0.145898 | + | 0.449028i | −0.00763665 | + | 0.0235032i | ||||
\(366\) | 10.8328 | 0.566240 | ||||||||
\(367\) | 18.0000 | 0.939592 | 0.469796 | − | 0.882775i | \(-0.344327\pi\) | ||||
0.469796 | + | 0.882775i | \(0.344327\pi\) | |||||||
\(368\) | −4.41641 | + | 13.5923i | −0.230221 | + | 0.708548i | ||||
\(369\) | 8.33688 | + | 6.05710i | 0.434001 | + | 0.315320i | ||||
\(370\) | −1.00000 | + | 0.726543i | −0.0519875 | + | 0.0377711i | ||||
\(371\) | 6.47214 | 0.336017 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 19.0000 | 0.983783 | 0.491891 | − | 0.870657i | \(-0.336306\pi\) | ||||
0.491891 | + | 0.870657i | \(0.336306\pi\) | |||||||
\(374\) | 5.23607 | − | 3.80423i | 0.270751 | − | 0.196712i | ||||
\(375\) | 9.00000 | + | 6.53888i | 0.464758 | + | 0.337666i | ||||
\(376\) | −4.47214 | + | 13.7638i | −0.230633 | + | 0.709815i | ||||
\(377\) | 8.94427 | 0.460653 | ||||||||
\(378\) | −14.4721 | −0.744366 | ||||||||
\(379\) | −11.7082 | + | 36.0341i | −0.601410 | + | 1.85095i | −0.0816052 | + | 0.996665i | \(0.526005\pi\) |
−0.519805 | + | 0.854285i | \(0.673995\pi\) | |||||||
\(380\) | −1.11803 | − | 3.44095i | −0.0573539 | − | 0.176517i | ||||
\(381\) | 1.34752 | + | 4.14725i | 0.0690358 | + | 0.212470i | ||||
\(382\) | 1.59017 | − | 1.15533i | 0.0813602 | − | 0.0591116i | ||||
\(383\) | 3.67376 | − | 11.3067i | 0.187720 | − | 0.577744i | −0.812264 | − | 0.583290i | \(-0.801765\pi\) |
0.999985 | + | 0.00554556i | \(0.00176521\pi\) | |||||||
\(384\) | −11.3820 | + | 8.26948i | −0.580834 | + | 0.422000i | ||||
\(385\) | 6.85410 | + | 4.97980i | 0.349317 | + | 0.253794i | ||||
\(386\) | 1.04508 | + | 3.21644i | 0.0531934 | + | 0.163713i | ||||
\(387\) | −3.85410 | − | 2.80017i | −0.195915 | − | 0.142341i | ||||
\(388\) | 2.54508 | + | 1.84911i | 0.129207 | + | 0.0938745i | ||||
\(389\) | 5.52786 | + | 17.0130i | 0.280274 | + | 0.862594i | 0.987776 | + | 0.155883i | \(0.0498221\pi\) |
−0.707502 | + | 0.706712i | \(0.750178\pi\) | |||||||
\(390\) | 0.763932 | + | 0.555029i | 0.0386832 | + | 0.0281050i | ||||
\(391\) | 32.6525 | − | 23.7234i | 1.65131 | − | 1.19974i | ||||
\(392\) | 7.56231 | − | 23.2744i | 0.381954 | − | 1.17553i | ||||
\(393\) | −12.0000 | + | 8.71851i | −0.605320 | + | 0.439791i | ||||
\(394\) | 2.94427 | + | 9.06154i | 0.148330 | + | 0.456514i | ||||
\(395\) | 0.527864 | + | 1.62460i | 0.0265597 | + | 0.0817424i | ||||
\(396\) | 1.47214 | − | 4.53077i | 0.0739776 | − | 0.227680i | ||||
\(397\) | −7.00000 | −0.351320 | −0.175660 | − | 0.984451i | \(-0.556206\pi\) | ||||
−0.175660 | + | 0.984451i | \(0.556206\pi\) | |||||||
\(398\) | 0.652476 | 0.0327057 | ||||||||
\(399\) | −3.61803 | + | 11.1352i | −0.181128 | + | 0.557455i | ||||
\(400\) | 6.00000 | + | 4.35926i | 0.300000 | + | 0.217963i | ||||
\(401\) | −12.7984 | + | 9.29856i | −0.639120 | + | 0.464348i | −0.859548 | − | 0.511055i | \(-0.829255\pi\) |
0.220428 | + | 0.975403i | \(0.429255\pi\) | |||||||
\(402\) | −6.11146 | −0.304812 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 4.85410 | 0.241501 | ||||||||
\(405\) | 1.95492 | − | 1.42033i | 0.0971405 | − | 0.0705767i | ||||
\(406\) | −15.3262 | − | 11.1352i | −0.760628 | − | 0.552629i | ||||
\(407\) | −1.23607 | + | 3.80423i | −0.0612696 | + | 0.188568i | ||||
\(408\) | 14.4721 | 0.716477 | ||||||||
\(409\) | −26.1803 | −1.29453 | −0.647267 | − | 0.762263i | \(-0.724088\pi\) | ||||
−0.647267 | + | 0.762263i | \(0.724088\pi\) | |||||||
\(410\) | −1.33688 | + | 4.11450i | −0.0660238 | + | 0.203201i | ||||
\(411\) | 7.52786 | + | 23.1684i | 0.371322 | + | 1.14281i | ||||
\(412\) | −0.881966 | − | 2.71441i | −0.0434513 | − | 0.133729i | ||||
\(413\) | −7.66312 | + | 5.56758i | −0.377077 | + | 0.273963i | ||||
\(414\) | −2.16718 | + | 6.66991i | −0.106511 | + | 0.327808i | ||||
\(415\) | −2.38197 | + | 1.73060i | −0.116926 | + | 0.0849518i | ||||
\(416\) | 5.61803 | + | 4.08174i | 0.275447 | + | 0.200124i | ||||
\(417\) | −5.12461 | − | 15.7719i | −0.250953 | − | 0.772355i | ||||
\(418\) | 2.23607 | + | 1.62460i | 0.109370 | + | 0.0794617i | ||||
\(419\) | −24.3713 | − | 17.7068i | −1.19062 | − | 0.865034i | −0.197288 | − | 0.980346i | \(-0.563213\pi\) |
−0.993329 | + | 0.115312i | \(0.963213\pi\) | |||||||
\(420\) | 2.61803 | + | 8.05748i | 0.127747 | + | 0.393165i | ||||
\(421\) | 12.4271 | + | 9.02878i | 0.605657 | + | 0.440036i | 0.847882 | − | 0.530184i | \(-0.177877\pi\) |
−0.242225 | + | 0.970220i | \(0.577877\pi\) | |||||||
\(422\) | 0.409830 | − | 0.297759i | 0.0199502 | − | 0.0144947i | ||||
\(423\) | 2.94427 | − | 9.06154i | 0.143155 | − | 0.440587i | ||||
\(424\) | 2.76393 | − | 2.00811i | 0.134228 | − | 0.0975226i | ||||
\(425\) | −6.47214 | − | 19.9192i | −0.313945 | − | 0.966222i | ||||
\(426\) | −3.11146 | − | 9.57608i | −0.150751 | − | 0.463962i | ||||
\(427\) | 18.5623 | − | 57.1289i | 0.898293 | − | 2.76466i | ||||
\(428\) | −16.5623 | −0.800569 | ||||||||
\(429\) | 3.05573 | 0.147532 | ||||||||
\(430\) | 0.618034 | − | 1.90211i | 0.0298042 | − | 0.0917280i | ||||
\(431\) | −9.70820 | − | 7.05342i | −0.467628 | − | 0.339751i | 0.328888 | − | 0.944369i | \(-0.393326\pi\) |
−0.796516 | + | 0.604617i | \(0.793326\pi\) | |||||||
\(432\) | 8.29180 | − | 6.02434i | 0.398939 | − | 0.289846i | ||||
\(433\) | −12.1803 | −0.585350 | −0.292675 | − | 0.956212i | \(-0.594545\pi\) | ||||
−0.292675 | + | 0.956212i | \(0.594545\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 8.94427 | 0.428845 | ||||||||
\(436\) | 5.16312 | − | 3.75123i | 0.247269 | − | 0.179651i | ||||
\(437\) | 13.9443 | + | 10.1311i | 0.667045 | + | 0.484637i | ||||
\(438\) | 0.111456 | − | 0.343027i | 0.00532558 | − | 0.0163905i | ||||
\(439\) | 21.1803 | 1.01088 | 0.505441 | − | 0.862861i | \(-0.331330\pi\) | ||||
0.505441 | + | 0.862861i | \(0.331330\pi\) | |||||||
\(440\) | 4.47214 | 0.213201 | ||||||||
\(441\) | −4.97871 | + | 15.3229i | −0.237082 | + | 0.729662i | ||||
\(442\) | −1.23607 | − | 3.80423i | −0.0587938 | − | 0.180949i | ||||
\(443\) | 5.34346 | + | 16.4455i | 0.253875 | + | 0.781348i | 0.994049 | + | 0.108932i | \(0.0347432\pi\) |
−0.740174 | + | 0.672416i | \(0.765257\pi\) | |||||||
\(444\) | −3.23607 | + | 2.35114i | −0.153577 | + | 0.111580i | ||||
\(445\) | −0.527864 | + | 1.62460i | −0.0250232 | + | 0.0770134i | ||||
\(446\) | 2.00000 | − | 1.45309i | 0.0947027 | − | 0.0688056i | ||||
\(447\) | −10.0000 | − | 7.26543i | −0.472984 | − | 0.343643i | ||||
\(448\) | 0.309017 | + | 0.951057i | 0.0145997 | + | 0.0449332i | ||||
\(449\) | −25.3262 | − | 18.4006i | −1.19522 | − | 0.868377i | −0.201413 | − | 0.979506i | \(-0.564553\pi\) |
−0.993806 | + | 0.111129i | \(0.964553\pi\) | |||||||
\(450\) | 2.94427 | + | 2.13914i | 0.138794 | + | 0.100840i | ||||
\(451\) | 4.32624 | + | 13.3148i | 0.203715 | + | 0.626969i | ||||
\(452\) | −7.16312 | − | 5.20431i | −0.336925 | − | 0.244790i | ||||
\(453\) | −8.18034 | + | 5.94336i | −0.384346 | + | 0.279244i | ||||
\(454\) | −0.472136 | + | 1.45309i | −0.0221584 | + | 0.0681967i | ||||
\(455\) | 4.23607 | − | 3.07768i | 0.198590 | − | 0.144284i | ||||
\(456\) | 1.90983 | + | 5.87785i | 0.0894360 | + | 0.275256i | ||||
\(457\) | −6.47214 | − | 19.9192i | −0.302754 | − | 0.931780i | −0.980506 | − | 0.196490i | \(-0.937046\pi\) |
0.677752 | − | 0.735290i | \(-0.262954\pi\) | |||||||
\(458\) | −2.56231 | + | 7.88597i | −0.119729 | + | 0.368487i | ||||
\(459\) | −28.9443 | −1.35100 | ||||||||
\(460\) | 12.4721 | 0.581516 | ||||||||
\(461\) | −3.20163 | + | 9.85359i | −0.149115 | + | 0.458928i | −0.997517 | − | 0.0704241i | \(-0.977565\pi\) |
0.848403 | + | 0.529352i | \(0.177565\pi\) | |||||||
\(462\) | −5.23607 | − | 3.80423i | −0.243604 | − | 0.176989i | ||||
\(463\) | 23.7984 | − | 17.2905i | 1.10600 | − | 0.803559i | 0.123975 | − | 0.992285i | \(-0.460436\pi\) |
0.982030 | + | 0.188726i | \(0.0604359\pi\) | |||||||
\(464\) | 13.4164 | 0.622841 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.0344419 | −0.00159549 | ||||||||
\(467\) | 7.04508 | − | 5.11855i | 0.326008 | − | 0.236858i | −0.412727 | − | 0.910855i | \(-0.635424\pi\) |
0.738735 | + | 0.673996i | \(0.235424\pi\) | |||||||
\(468\) | −2.38197 | − | 1.73060i | −0.110106 | − | 0.0799970i | ||||
\(469\) | −10.4721 | + | 32.2299i | −0.483558 | + | 1.48824i | ||||
\(470\) | 4.00000 | 0.184506 | ||||||||
\(471\) | −18.4033 | −0.847977 | ||||||||
\(472\) | −1.54508 | + | 4.75528i | −0.0711183 | + | 0.218880i | ||||
\(473\) | −2.00000 | − | 6.15537i | −0.0919601 | − | 0.283024i | ||||
\(474\) | −0.403252 | − | 1.24108i | −0.0185220 | − | 0.0570048i | ||||
\(475\) | 7.23607 | − | 5.25731i | 0.332014 | − | 0.241222i | ||||
\(476\) | 11.0902 | − | 34.1320i | 0.508317 | − | 1.56444i | ||||
\(477\) | −1.81966 | + | 1.32206i | −0.0833165 | + | 0.0605330i | ||||
\(478\) | 0.854102 | + | 0.620541i | 0.0390657 | + | 0.0283829i | ||||
\(479\) | 11.3435 | + | 34.9116i | 0.518296 | + | 1.59515i | 0.777204 | + | 0.629249i | \(0.216637\pi\) |
−0.258908 | + | 0.965902i | \(0.583363\pi\) | |||||||
\(480\) | 5.61803 | + | 4.08174i | 0.256427 | + | 0.186305i | ||||
\(481\) | 2.00000 | + | 1.45309i | 0.0911922 | + | 0.0662550i | ||||
\(482\) | 5.79837 | + | 17.8456i | 0.264109 | + | 0.812843i | ||||
\(483\) | −32.6525 | − | 23.7234i | −1.48574 | − | 1.07945i | ||||
\(484\) | −9.16312 | + | 6.65740i | −0.416505 | + | 0.302609i | ||||
\(485\) | 0.600813 | − | 1.84911i | 0.0272815 | − | 0.0839639i | ||||
\(486\) | 6.79837 | − | 4.93931i | 0.308381 | − | 0.224052i | ||||
\(487\) | −4.56231 | − | 14.0413i | −0.206738 | − | 0.636274i | −0.999638 | − | 0.0269214i | \(-0.991430\pi\) |
0.792900 | − | 0.609352i | \(-0.208570\pi\) | |||||||
\(488\) | −9.79837 | − | 30.1563i | −0.443552 | − | 1.36511i | ||||
\(489\) | −1.03444 | + | 3.18368i | −0.0467791 | + | 0.143971i | ||||
\(490\) | −6.76393 | −0.305563 | ||||||||
\(491\) | −40.3607 | −1.82145 | −0.910726 | − | 0.413011i | \(-0.864477\pi\) | ||||
−0.910726 | + | 0.413011i | \(0.864477\pi\) | |||||||
\(492\) | −4.32624 | + | 13.3148i | −0.195042 | + | 0.600277i | ||||
\(493\) | −30.6525 | − | 22.2703i | −1.38052 | − | 1.00301i | ||||
\(494\) | 1.38197 | − | 1.00406i | 0.0621776 | − | 0.0451747i | ||||
\(495\) | −2.94427 | −0.132335 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −55.8328 | −2.50444 | ||||||||
\(498\) | 1.81966 | − | 1.32206i | 0.0815409 | − | 0.0592429i | ||||
\(499\) | 27.0344 | + | 19.6417i | 1.21023 | + | 0.879282i | 0.995251 | − | 0.0973373i | \(-0.0310325\pi\) |
0.214976 | + | 0.976619i | \(0.431033\pi\) | |||||||
\(500\) | 4.50000 | − | 13.8496i | 0.201246 | − | 0.619372i | ||||
\(501\) | 3.05573 | 0.136520 | ||||||||
\(502\) | 14.9443 | 0.666995 | ||||||||
\(503\) | −0.510643 | + | 1.57160i | −0.0227685 | + | 0.0700741i | −0.961795 | − | 0.273770i | \(-0.911729\pi\) |
0.939027 | + | 0.343844i | \(0.111729\pi\) | |||||||
\(504\) | 4.30902 | + | 13.2618i | 0.191939 | + | 0.590727i | ||||
\(505\) | −0.927051 | − | 2.85317i | −0.0412532 | − | 0.126964i | ||||
\(506\) | −7.70820 | + | 5.60034i | −0.342671 | + | 0.248965i | ||||
\(507\) | −4.38197 | + | 13.4863i | −0.194610 | + | 0.598948i | ||||
\(508\) | 4.61803 | − | 3.35520i | 0.204892 | − | 0.148863i | ||||
\(509\) | 15.8541 | + | 11.5187i | 0.702721 | + | 0.510556i | 0.880817 | − | 0.473457i | \(-0.156994\pi\) |
−0.178096 | + | 0.984013i | \(0.556994\pi\) | |||||||
\(510\) | −1.23607 | − | 3.80423i | −0.0547340 | − | 0.168454i | ||||
\(511\) | −1.61803 | − | 1.17557i | −0.0715776 | − | 0.0520042i | ||||
\(512\) | 15.1353 | + | 10.9964i | 0.668890 | + | 0.485977i | ||||
\(513\) | −3.81966 | − | 11.7557i | −0.168642 | − | 0.519027i | ||||
\(514\) | −7.97214 | − | 5.79210i | −0.351636 | − | 0.255478i | ||||
\(515\) | −1.42705 | + | 1.03681i | −0.0628834 | + | 0.0456874i | ||||
\(516\) | 2.00000 | − | 6.15537i | 0.0880451 | − | 0.270975i | ||||
\(517\) | 10.4721 | − | 7.60845i | 0.460564 | − | 0.334619i | ||||
\(518\) | −1.61803 | − | 4.97980i | −0.0710923 | − | 0.218800i | ||||
\(519\) | −5.70820 | − | 17.5680i | −0.250562 | − | 0.771152i | ||||
\(520\) | 0.854102 | − | 2.62866i | 0.0374548 | − | 0.115274i | ||||
\(521\) | 2.00000 | 0.0876216 | 0.0438108 | − | 0.999040i | \(-0.486050\pi\) | ||||
0.0438108 | + | 0.999040i | \(0.486050\pi\) | |||||||
\(522\) | 6.58359 | 0.288156 | ||||||||
\(523\) | −1.32624 | + | 4.08174i | −0.0579923 | + | 0.178482i | −0.975857 | − | 0.218413i | \(-0.929912\pi\) |
0.917864 | + | 0.396895i | \(0.129912\pi\) | |||||||
\(524\) | 15.7082 | + | 11.4127i | 0.686216 | + | 0.498565i | ||||
\(525\) | −16.9443 | + | 12.3107i | −0.739509 | + | 0.537284i | ||||
\(526\) | 11.5967 | 0.505642 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 4.58359 | 0.199475 | ||||||||
\(529\) | −29.4615 | + | 21.4050i | −1.28093 | + | 0.930653i | ||||
\(530\) | −0.763932 | − | 0.555029i | −0.0331831 | − | 0.0241089i | ||||
\(531\) | 1.01722 | − | 3.13068i | 0.0441436 | − | 0.135860i | ||||
\(532\) | 15.3262 | 0.664477 | ||||||||
\(533\) | 8.65248 | 0.374780 | ||||||||
\(534\) | 0.403252 | − | 1.24108i | 0.0174504 | − | 0.0537069i | ||||
\(535\) | 3.16312 | + | 9.73508i | 0.136754 | + | 0.420884i | ||||
\(536\) | 5.52786 | + | 17.0130i | 0.238767 | + | 0.734850i | ||||
\(537\) | 11.7082 | − | 8.50651i | 0.505246 | − | 0.367083i | ||||
\(538\) | 5.52786 | − | 17.0130i | 0.238323 | − | 0.733483i | ||||
\(539\) | −17.7082 | + | 12.8658i | −0.762746 | + | 0.554168i | ||||
\(540\) | −7.23607 | − | 5.25731i | −0.311391 | − | 0.226239i | ||||
\(541\) | 5.98278 | + | 18.4131i | 0.257220 | + | 0.791641i | 0.993384 | + | 0.114838i | \(0.0366350\pi\) |
−0.736164 | + | 0.676803i | \(0.763365\pi\) | |||||||
\(542\) | 4.09017 | + | 2.97168i | 0.175688 | + | 0.127645i | ||||
\(543\) | −18.1803 | − | 13.2088i | −0.780193 | − | 0.566843i | ||||
\(544\) | −9.09017 | − | 27.9767i | −0.389738 | − | 1.19949i | ||||
\(545\) | −3.19098 | − | 2.31838i | −0.136687 | − | 0.0993087i | ||||
\(546\) | −3.23607 | + | 2.35114i | −0.138491 | + | 0.100620i | ||||
\(547\) | 8.69098 | − | 26.7481i | 0.371600 | − | 1.14367i | −0.574145 | − | 0.818754i | \(-0.694665\pi\) |
0.945744 | − | 0.324912i | \(-0.105335\pi\) | |||||||
\(548\) | 25.7984 | − | 18.7436i | 1.10205 | − | 0.800688i | ||||
\(549\) | 6.45085 | + | 19.8537i | 0.275316 | + | 0.847334i | ||||
\(550\) | 1.52786 | + | 4.70228i | 0.0651483 | + | 0.200506i | ||||
\(551\) | 5.00000 | − | 15.3884i | 0.213007 | − | 0.655569i | ||||
\(552\) | −21.3050 | −0.906799 | ||||||||
\(553\) | −7.23607 | −0.307709 | ||||||||
\(554\) | −3.56231 | + | 10.9637i | −0.151348 | + | 0.465801i | ||||
\(555\) | 2.00000 | + | 1.45309i | 0.0848953 | + | 0.0616800i | ||||
\(556\) | −17.5623 | + | 12.7598i | −0.744808 | + | 0.541134i | ||||
\(557\) | −12.0000 | −0.508456 | −0.254228 | − | 0.967144i | \(-0.581821\pi\) | ||||
−0.254228 | + | 0.967144i | \(0.581821\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4.00000 | −0.169182 | ||||||||
\(560\) | 6.35410 | − | 4.61653i | 0.268510 | − | 0.195084i | ||||
\(561\) | −10.4721 | − | 7.60845i | −0.442134 | − | 0.321229i | ||||
\(562\) | −3.24671 | + | 9.99235i | −0.136954 | + | 0.421502i | ||||
\(563\) | −39.5410 | −1.66646 | −0.833228 | − | 0.552930i | \(-0.813510\pi\) | ||||
−0.833228 | + | 0.552930i | \(0.813510\pi\) | |||||||
\(564\) | 12.9443 | 0.545052 | ||||||||
\(565\) | −1.69098 | + | 5.20431i | −0.0711402 | + | 0.218947i | ||||
\(566\) | −4.18034 | − | 12.8658i | −0.175713 | − | 0.540788i | ||||
\(567\) | 3.16312 | + | 9.73508i | 0.132839 | + | 0.408835i | ||||
\(568\) | −23.8435 | + | 17.3233i | −1.00045 | + | 0.726869i | ||||
\(569\) | 4.47214 | − | 13.7638i | 0.187482 | − | 0.577009i | −0.812501 | − | 0.582960i | \(-0.801894\pi\) |
0.999982 | + | 0.00595104i | \(0.00189429\pi\) | |||||||
\(570\) | 1.38197 | − | 1.00406i | 0.0578842 | − | 0.0420553i | ||||
\(571\) | −4.70820 | − | 3.42071i | −0.197032 | − | 0.143152i | 0.484895 | − | 0.874572i | \(-0.338858\pi\) |
−0.681927 | + | 0.731420i | \(0.738858\pi\) | |||||||
\(572\) | −1.23607 | − | 3.80423i | −0.0516826 | − | 0.159063i | ||||
\(573\) | −3.18034 | − | 2.31065i | −0.132861 | − | 0.0965289i | ||||
\(574\) | −14.8262 | − | 10.7719i | −0.618835 | − | 0.449610i | ||||
\(575\) | 9.52786 | + | 29.3238i | 0.397339 | + | 1.22288i | ||||
\(576\) | −0.281153 | − | 0.204270i | −0.0117147 | − | 0.00851123i | ||||
\(577\) | −20.0902 | + | 14.5964i | −0.836365 | + | 0.607655i | −0.921353 | − | 0.388727i | \(-0.872915\pi\) |
0.0849881 | + | 0.996382i | \(0.472915\pi\) | |||||||
\(578\) | −1.98936 | + | 6.12261i | −0.0827463 | + | 0.254667i | ||||
\(579\) | 5.47214 | − | 3.97574i | 0.227414 | − | 0.165226i | ||||
\(580\) | −3.61803 | − | 11.1352i | −0.150231 | − | 0.462363i | ||||
\(581\) | −3.85410 | − | 11.8617i | −0.159895 | − | 0.492106i | ||||
\(582\) | −0.458980 | + | 1.41260i | −0.0190253 | + | 0.0585540i | ||||
\(583\) | −3.05573 | −0.126555 | ||||||||
\(584\) | −1.05573 | −0.0436863 | ||||||||
\(585\) | −0.562306 | + | 1.73060i | −0.0232485 | + | 0.0715515i | ||||
\(586\) | 4.23607 | + | 3.07768i | 0.174990 | + | 0.127138i | ||||
\(587\) | −2.00000 | + | 1.45309i | −0.0825488 | + | 0.0599752i | −0.628294 | − | 0.777976i | \(-0.716247\pi\) |
0.545745 | + | 0.837951i | \(0.316247\pi\) | |||||||
\(588\) | −21.8885 | −0.902668 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 1.38197 | 0.0568946 | ||||||||
\(591\) | 15.4164 | − | 11.2007i | 0.634146 | − | 0.460734i | ||||
\(592\) | 3.00000 | + | 2.17963i | 0.123299 | + | 0.0895821i | ||||
\(593\) | −4.78115 | + | 14.7149i | −0.196338 | + | 0.604268i | 0.803620 | + | 0.595143i | \(0.202905\pi\) |
−0.999958 | + | 0.00912470i | \(0.997095\pi\) | |||||||
\(594\) | 6.83282 | 0.280354 | ||||||||
\(595\) | −22.1803 | −0.909305 | ||||||||
\(596\) | −5.00000 | + | 15.3884i | −0.204808 | + | 0.630334i | ||||
\(597\) | −0.403252 | − | 1.24108i | −0.0165040 | − | 0.0507941i | ||||
\(598\) | 1.81966 | + | 5.60034i | 0.0744114 | + | 0.229015i | ||||
\(599\) | −27.9894 | + | 20.3355i | −1.14361 | + | 0.830884i | −0.987619 | − | 0.156873i | \(-0.949859\pi\) |
−0.155995 | + | 0.987758i | \(0.549859\pi\) | |||||||
\(600\) | −3.41641 | + | 10.5146i | −0.139474 | + | 0.429258i | ||||
\(601\) | 29.5623 | − | 21.4783i | 1.20587 | − | 0.876117i | 0.211022 | − | 0.977481i | \(-0.432321\pi\) |
0.994849 | + | 0.101364i | \(0.0323208\pi\) | |||||||
\(602\) | 6.85410 | + | 4.97980i | 0.279352 | + | 0.202961i | ||||
\(603\) | −3.63932 | − | 11.2007i | −0.148205 | − | 0.456127i | ||||
\(604\) | 10.7082 | + | 7.77997i | 0.435711 | + | 0.316562i | ||||
\(605\) | 5.66312 | + | 4.11450i | 0.230239 | + | 0.167278i | ||||
\(606\) | 0.708204 | + | 2.17963i | 0.0287688 | + | 0.0885413i | ||||
\(607\) | −10.9443 | − | 7.95148i | −0.444214 | − | 0.322741i | 0.343093 | − | 0.939301i | \(-0.388525\pi\) |
−0.787307 | + | 0.616561i | \(0.788525\pi\) | |||||||
\(608\) | 10.1631 | − | 7.38394i | 0.412169 | − | 0.299458i | ||||
\(609\) | −11.7082 | + | 36.0341i | −0.474440 | + | 1.46018i | ||||
\(610\) | −7.09017 | + | 5.15131i | −0.287073 | + | 0.208570i | ||||
\(611\) | −2.47214 | − | 7.60845i | −0.100012 | − | 0.307805i | ||||
\(612\) | 3.85410 | + | 11.8617i | 0.155793 | + | 0.479481i | ||||
\(613\) | −2.50658 | + | 7.71445i | −0.101240 | + | 0.311584i | −0.988830 | − | 0.149051i | \(-0.952378\pi\) |
0.887590 | + | 0.460635i | \(0.152378\pi\) | |||||||
\(614\) | 9.45085 | 0.381405 | ||||||||
\(615\) | 8.65248 | 0.348902 | ||||||||
\(616\) | −5.85410 | + | 18.0171i | −0.235868 | + | 0.725929i | ||||
\(617\) | −19.0344 | − | 13.8293i | −0.766298 | − | 0.556748i | 0.134538 | − | 0.990908i | \(-0.457045\pi\) |
−0.900836 | + | 0.434161i | \(0.857045\pi\) | |||||||
\(618\) | 1.09017 | − | 0.792055i | 0.0438531 | − | 0.0318611i | ||||
\(619\) | −16.1803 | −0.650343 | −0.325171 | − | 0.945655i | \(-0.605422\pi\) | ||||
−0.325171 | + | 0.945655i | \(0.605422\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 42.6099 | 1.70988 | ||||||||
\(622\) | −3.40983 | + | 2.47739i | −0.136722 | + | 0.0993342i | ||||
\(623\) | −5.85410 | − | 4.25325i | −0.234540 | − | 0.170403i | ||||
\(624\) | 0.875388 | − | 2.69417i | 0.0350436 | − | 0.107853i | ||||
\(625\) | 11.0000 | 0.440000 | ||||||||
\(626\) | −13.1246 | −0.524565 | ||||||||
\(627\) | 1.70820 | − | 5.25731i | 0.0682191 | − | 0.209957i | ||||
\(628\) | 7.44427 | + | 22.9111i | 0.297059 | + | 0.914253i | ||||
\(629\) | −3.23607 | − | 9.95959i | −0.129030 | − | 0.397115i | ||||
\(630\) | 3.11803 | − | 2.26538i | 0.124225 | − | 0.0902551i | ||||
\(631\) | −3.20163 | + | 9.85359i | −0.127455 | + | 0.392265i | −0.994340 | − | 0.106242i | \(-0.966118\pi\) |
0.866886 | + | 0.498507i | \(0.166118\pi\) | |||||||
\(632\) | −3.09017 | + | 2.24514i | −0.122920 | + | 0.0893069i | ||||
\(633\) | −0.819660 | − | 0.595518i | −0.0325786 | − | 0.0236697i | ||||
\(634\) | −4.19098 | − | 12.8985i | −0.166445 | − | 0.512266i | ||||
\(635\) | −2.85410 | − | 2.07363i | −0.113262 | − | 0.0822894i | ||||
\(636\) | −2.47214 | − | 1.79611i | −0.0980266 | − | 0.0712205i | ||||
\(637\) | 4.18034 | + | 12.8658i | 0.165631 | + | 0.509760i | ||||
\(638\) | 7.23607 | + | 5.25731i | 0.286479 | + | 0.208139i | ||||
\(639\) | 15.6976 | − | 11.4049i | 0.620986 | − | 0.451173i | ||||
\(640\) | 3.51722 | − | 10.8249i | 0.139030 | − | 0.427891i | ||||
\(641\) | −9.70820 | + | 7.05342i | −0.383451 | + | 0.278593i | −0.762767 | − | 0.646674i | \(-0.776159\pi\) |
0.379316 | + | 0.925267i | \(0.376159\pi\) | |||||||
\(642\) | −2.41641 | − | 7.43694i | −0.0953680 | − | 0.293513i | ||||
\(643\) | 8.79837 | + | 27.0786i | 0.346974 | + | 1.06788i | 0.960519 | + | 0.278216i | \(0.0897431\pi\) |
−0.613545 | + | 0.789660i | \(0.710257\pi\) | |||||||
\(644\) | −16.3262 | + | 50.2470i | −0.643344 | + | 1.98001i | ||||
\(645\) | −4.00000 | −0.157500 | ||||||||
\(646\) | −7.23607 | −0.284699 | ||||||||
\(647\) | 5.23607 | − | 16.1150i | 0.205851 | − | 0.633544i | −0.793826 | − | 0.608145i | \(-0.791914\pi\) |
0.999677 | − | 0.0253999i | \(-0.00808591\pi\) | |||||||
\(648\) | 4.37132 | + | 3.17595i | 0.171722 | + | 0.124763i | ||||
\(649\) | 3.61803 | − | 2.62866i | 0.142020 | − | 0.103184i | ||||
\(650\) | 3.05573 | 0.119856 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.38197 | 0.171611 | ||||||||
\(653\) | −12.3820 | + | 8.99602i | −0.484544 | + | 0.352042i | −0.803082 | − | 0.595868i | \(-0.796808\pi\) |
0.318538 | + | 0.947910i | \(0.396808\pi\) | |||||||
\(654\) | 2.43769 | + | 1.77109i | 0.0953214 | + | 0.0692550i | ||||
\(655\) | 3.70820 | − | 11.4127i | 0.144892 | − | 0.445930i | ||||
\(656\) | 12.9787 | 0.506734 | ||||||||
\(657\) | 0.695048 | 0.0271164 | ||||||||
\(658\) | −5.23607 | + | 16.1150i | −0.204123 | + | 0.628227i | ||||
\(659\) | −1.74671 | − | 5.37582i | −0.0680422 | − | 0.209412i | 0.911254 | − | 0.411845i | \(-0.135115\pi\) |
−0.979296 | + | 0.202432i | \(0.935115\pi\) | |||||||
\(660\) | −1.23607 | − | 3.80423i | −0.0481139 | − | 0.148079i | ||||
\(661\) | 36.6976 | − | 26.6623i | 1.42737 | − | 1.03704i | 0.436871 | − | 0.899524i | \(-0.356087\pi\) |
0.990499 | − | 0.137520i | \(-0.0439133\pi\) | |||||||
\(662\) | −0.381966 | + | 1.17557i | −0.0148455 | + | 0.0456898i | ||||
\(663\) | −6.47214 | + | 4.70228i | −0.251357 | + | 0.182622i | ||||
\(664\) | −5.32624 | − | 3.86974i | −0.206698 | − | 0.150175i | ||||
\(665\) | −2.92705 | − | 9.00854i | −0.113506 | − | 0.349336i | ||||
\(666\) | 1.47214 | + | 1.06957i | 0.0570441 | + | 0.0414450i | ||||
\(667\) | 45.1246 | + | 32.7849i | 1.74723 | + | 1.26944i | ||||
\(668\) | −1.23607 | − | 3.80423i | −0.0478249 | − | 0.147190i | ||||
\(669\) | −4.00000 | − | 2.90617i | −0.154649 | − | 0.112359i | ||||
\(670\) | 4.00000 | − | 2.90617i | 0.154533 | − | 0.112275i | ||||
\(671\) | −8.76393 | + | 26.9726i | −0.338328 | + | 1.04127i | ||||
\(672\) | −23.7984 | + | 17.2905i | −0.918042 | + | 0.666997i | ||||
\(673\) | 14.5279 | + | 44.7122i | 0.560008 | + | 1.72353i | 0.682337 | + | 0.731038i | \(0.260964\pi\) |
−0.122329 | + | 0.992490i | \(0.539036\pi\) | |||||||
\(674\) | 3.67376 | + | 11.3067i | 0.141508 | + | 0.435517i | ||||
\(675\) | 6.83282 | − | 21.0292i | 0.262995 | − | 0.809416i | ||||
\(676\) | 18.5623 | 0.713935 | ||||||||
\(677\) | 42.7214 | 1.64192 | 0.820958 | − | 0.570989i | \(-0.193440\pi\) | ||||
0.820958 | + | 0.570989i | \(0.193440\pi\) | |||||||
\(678\) | 1.29180 | − | 3.97574i | 0.0496111 | − | 0.152687i | ||||
\(679\) | 6.66312 | + | 4.84104i | 0.255707 | + | 0.185782i | ||||
\(680\) | −9.47214 | + | 6.88191i | −0.363240 | + | 0.263909i | ||||
\(681\) | 3.05573 | 0.117096 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −17.1803 | −0.657387 | −0.328694 | − | 0.944437i | \(-0.606608\pi\) | ||||
−0.328694 | + | 0.944437i | \(0.606608\pi\) | |||||||
\(684\) | −4.30902 | + | 3.13068i | −0.164759 | + | 0.119705i | ||||
\(685\) | −15.9443 | − | 11.5842i | −0.609199 | − | 0.442609i | ||||
\(686\) | 3.19098 | − | 9.82084i | 0.121832 | − | 0.374961i | ||||
\(687\) | 16.5836 | 0.632704 | ||||||||
\(688\) | −6.00000 | −0.228748 | ||||||||
\(689\) | −0.583592 | + | 1.79611i | −0.0222331 | + | 0.0684264i | ||||
\(690\) | 1.81966 | + | 5.60034i | 0.0692733 | + | 0.213201i | ||||
\(691\) | −5.92705 | − | 18.2416i | −0.225476 | − | 0.693943i | −0.998243 | − | 0.0592533i | \(-0.981128\pi\) |
0.772767 | − | 0.634689i | \(-0.218872\pi\) | |||||||
\(692\) | −19.5623 | + | 14.2128i | −0.743647 | + | 0.540291i | ||||
\(693\) | 3.85410 | − | 11.8617i | 0.146405 | − | 0.450589i | ||||
\(694\) | 0.909830 | − | 0.661030i | 0.0345367 | − | 0.0250924i | ||||
\(695\) | 10.8541 | + | 7.88597i | 0.411720 | + | 0.299132i | ||||
\(696\) | 6.18034 | + | 19.0211i | 0.234265 | + | 0.720994i | ||||
\(697\) | −29.6525 | − | 21.5438i | −1.12317 | − | 0.816029i | ||||
\(698\) | 13.9443 | + | 10.1311i | 0.527798 | + | 0.383468i | ||||
\(699\) | 0.0212862 | + | 0.0655123i | 0.000805119 | + | 0.00247790i | ||||
\(700\) | 22.1803 | + | 16.1150i | 0.838338 | + | 0.609088i | ||||
\(701\) | −5.66312 | + | 4.11450i | −0.213893 | + | 0.155402i | −0.689573 | − | 0.724216i | \(-0.742202\pi\) |
0.475680 | + | 0.879618i | \(0.342202\pi\) | |||||||
\(702\) | 1.30495 | − | 4.01623i | 0.0492522 | − | 0.151583i | ||||
\(703\) | 3.61803 | − | 2.62866i | 0.136457 | − | 0.0991416i | ||||
\(704\) | −0.145898 | − | 0.449028i | −0.00549874 | − | 0.0169234i | ||||
\(705\) | −2.47214 | − | 7.60845i | −0.0931060 | − | 0.286551i | ||||
\(706\) | 3.70820 | − | 11.4127i | 0.139560 | − | 0.429522i | ||||
\(707\) | 12.7082 | 0.477941 | ||||||||
\(708\) | 4.47214 | 0.168073 | ||||||||
\(709\) | 10.6525 | − | 32.7849i | 0.400062 | − | 1.23126i | −0.524886 | − | 0.851172i | \(-0.675892\pi\) |
0.924949 | − | 0.380092i | \(-0.124108\pi\) | |||||||
\(710\) | 6.59017 | + | 4.78804i | 0.247325 | + | 0.179692i | ||||
\(711\) | 2.03444 | − | 1.47811i | 0.0762975 | − | 0.0554334i | ||||
\(712\) | −3.81966 | −0.143148 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 16.9443 | 0.634123 | ||||||||
\(715\) | −2.00000 | + | 1.45309i | −0.0747958 | + | 0.0543423i | ||||
\(716\) | −15.3262 | − | 11.1352i | −0.572768 | − | 0.416141i | ||||
\(717\) | 0.652476 | − | 2.00811i | 0.0243672 | − | 0.0749944i | ||||
\(718\) | −10.9787 | −0.409722 | ||||||||
\(719\) | −36.1803 | −1.34930 | −0.674649 | − | 0.738138i | \(-0.735705\pi\) | ||||
−0.674649 | + | 0.738138i | \(0.735705\pi\) | |||||||
\(720\) | −0.843459 | + | 2.59590i | −0.0314339 | + | 0.0967435i | ||||
\(721\) | −2.30902 | − | 7.10642i | −0.0859923 | − | 0.264657i | ||||
\(722\) | 2.67376 | + | 8.22899i | 0.0995071 | + | 0.306251i | ||||
\(723\) | 30.3607 | − | 22.0583i | 1.12913 | − | 0.820358i | ||||
\(724\) | −9.09017 | + | 27.9767i | −0.337834 | + | 1.03974i | ||||
\(725\) | 23.4164 | − | 17.0130i | 0.869664 | − | 0.631848i | ||||
\(726\) | −4.32624 | − | 3.14320i | −0.160562 | − | 0.116655i | ||||
\(727\) | −12.2877 | − | 37.8177i | −0.455727 | − | 1.40258i | −0.870280 | − | 0.492558i | \(-0.836062\pi\) |
0.414553 | − | 0.910025i | \(-0.363938\pi\) | |||||||
\(728\) | 9.47214 | + | 6.88191i | 0.351061 | + | 0.255061i | ||||
\(729\) | −19.4615 | − | 14.1396i | −0.720796 | − | 0.523689i | ||||
\(730\) | 0.0901699 | + | 0.277515i | 0.00333734 | + | 0.0102713i | ||||
\(731\) | 13.7082 | + | 9.95959i | 0.507016 | + | 0.368369i | ||||
\(732\) | −22.9443 | + | 16.6700i | −0.848045 | + | 0.616141i | ||||
\(733\) | −1.69098 | + | 5.20431i | −0.0624579 | + | 0.192226i | −0.977416 | − | 0.211322i | \(-0.932223\pi\) |
0.914959 | + | 0.403548i | \(0.132223\pi\) | |||||||
\(734\) | 9.00000 | − | 6.53888i | 0.332196 | − | 0.241355i | ||||
\(735\) | 4.18034 | + | 12.8658i | 0.154194 | + | 0.474561i | ||||
\(736\) | 13.3820 | + | 41.1855i | 0.493266 | + | 1.51812i | ||||
\(737\) | 4.94427 | − | 15.2169i | 0.182125 | − | 0.560522i | ||||
\(738\) | 6.36881 | 0.234439 | ||||||||
\(739\) | −16.1803 | −0.595203 | −0.297602 | − | 0.954690i | \(-0.596187\pi\) | ||||
−0.297602 | + | 0.954690i | \(0.596187\pi\) | |||||||
\(740\) | 1.00000 | − | 3.07768i | 0.0367607 | − | 0.113138i | ||||
\(741\) | −2.76393 | − | 2.00811i | −0.101536 | − | 0.0737699i | ||||
\(742\) | 3.23607 | − | 2.35114i | 0.118800 | − | 0.0863131i | ||||
\(743\) | 27.8197 | 1.02060 | 0.510302 | − | 0.859995i | \(-0.329534\pi\) | ||||
0.510302 | + | 0.859995i | \(0.329534\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 10.0000 | 0.366372 | ||||||||
\(746\) | 9.50000 | − | 6.90215i | 0.347820 | − | 0.252706i | ||||
\(747\) | 3.50658 | + | 2.54768i | 0.128299 | + | 0.0932147i | ||||
\(748\) | −5.23607 | + | 16.1150i | −0.191450 | + | 0.589221i | ||||
\(749\) | −43.3607 | −1.58436 | ||||||||
\(750\) | 6.87539 | 0.251054 | ||||||||
\(751\) | 14.0729 | − | 43.3121i | 0.513529 | − | 1.58048i | −0.272413 | − | 0.962180i | \(-0.587822\pi\) |
0.785942 | − | 0.618300i | \(-0.212178\pi\) | |||||||
\(752\) | −3.70820 | − | 11.4127i | −0.135224 | − | 0.416178i | ||||
\(753\) | −9.23607 | − | 28.4257i | −0.336581 | − | 1.03589i | ||||
\(754\) | 4.47214 | − | 3.24920i | 0.162866 | − | 0.118329i | ||||
\(755\) | 2.52786 | − | 7.77997i | 0.0919984 | − | 0.283142i | ||||
\(756\) | 30.6525 | − | 22.2703i | 1.11482 | − | 0.809964i | ||||
\(757\) | 18.3262 | + | 13.3148i | 0.666078 | + | 0.483934i | 0.868710 | − | 0.495321i | \(-0.164949\pi\) |
−0.202632 | + | 0.979255i | \(0.564949\pi\) | |||||||
\(758\) | 7.23607 | + | 22.2703i | 0.262826 | + | 0.808895i | ||||
\(759\) | 15.4164 | + | 11.2007i | 0.559580 | + | 0.406559i | ||||
\(760\) | −4.04508 | − | 2.93893i | −0.146731 | − | 0.106606i | ||||
\(761\) | 0.618034 | + | 1.90211i | 0.0224037 | + | 0.0689515i | 0.961633 | − | 0.274338i | \(-0.0884587\pi\) |
−0.939230 | + | 0.343290i | \(0.888459\pi\) | |||||||
\(762\) | 2.18034 | + | 1.58411i | 0.0789854 | + | 0.0573862i | ||||
\(763\) | 13.5172 | − | 9.82084i | 0.489356 | − | 0.355538i | ||||
\(764\) | −1.59017 | + | 4.89404i | −0.0575303 | + | 0.177060i | ||||
\(765\) | 6.23607 | − | 4.53077i | 0.225466 | − | 0.163810i | ||||
\(766\) | −2.27051 | − | 6.98791i | −0.0820369 | − | 0.252483i | ||||
\(767\) | −0.854102 | − | 2.62866i | −0.0308398 | − | 0.0949153i | ||||
\(768\) | −2.50658 | + | 7.71445i | −0.0904483 | + | 0.278371i | ||||
\(769\) | −2.63932 | −0.0951763 | −0.0475882 | − | 0.998867i | \(-0.515154\pi\) | ||||
−0.0475882 | + | 0.998867i | \(0.515154\pi\) | |||||||
\(770\) | 5.23607 | 0.188695 | ||||||||
\(771\) | −6.09017 | + | 18.7436i | −0.219332 | + | 0.675035i | ||||
\(772\) | −7.16312 | − | 5.20431i | −0.257806 | − | 0.187307i | ||||
\(773\) | −23.5623 | + | 17.1190i | −0.847477 | + | 0.615728i | −0.924449 | − | 0.381305i | \(-0.875475\pi\) |
0.0769721 | + | 0.997033i | \(0.475475\pi\) | |||||||
\(774\) | −2.94427 | −0.105830 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 4.34752 | 0.156067 | ||||||||
\(777\) | −8.47214 | + | 6.15537i | −0.303936 | + | 0.220823i | ||||
\(778\) | 8.94427 | + | 6.49839i | 0.320668 | + | 0.232979i | ||||
\(779\) | 4.83688 | − | 14.8864i | 0.173299 | − | 0.533360i | ||||
\(780\) | −2.47214 | −0.0885167 | ||||||||
\(781\) | 26.3607 | 0.943259 | ||||||||
\(782\) | 7.70820 | − | 23.7234i | 0.275645 | − | 0.848347i | ||||
\(783\) | −12.3607 | − | 38.0423i | −0.441735 | − | 1.35952i | ||||
\(784\) | 6.27051 | + | 19.2986i | 0.223947 | + | 0.689237i | ||||
\(785\) | 12.0451 | − | 8.75127i | 0.429908 | − | 0.312346i | ||||
\(786\) | −2.83282 | + | 8.71851i | −0.101043 | + | 0.310979i | ||||
\(787\) | −31.2705 | + | 22.7194i | −1.11467 | + | 0.809858i | −0.983393 | − | 0.181488i | \(-0.941909\pi\) |
−0.131280 | + | 0.991345i | \(0.541909\pi\) | |||||||
\(788\) | −20.1803 | − | 14.6619i | −0.718895 | − | 0.522308i | ||||
\(789\) | −7.16718 | − | 22.0583i | −0.255159 | − | 0.785297i | ||||
\(790\) | 0.854102 | + | 0.620541i | 0.0303876 | + | 0.0220779i | ||||
\(791\) | −18.7533 | − | 13.6251i | −0.666790 | − | 0.484451i | ||||
\(792\) | −2.03444 | − | 6.26137i | −0.0722907 | − | 0.222488i | ||||
\(793\) | 14.1803 | + | 10.3026i | 0.503559 | + | 0.365857i | ||||
\(794\) | −3.50000 | + | 2.54290i | −0.124210 | + | 0.0902441i | ||||
\(795\) | −0.583592 | + | 1.79611i | −0.0206979 | + | 0.0637015i | ||||
\(796\) | −1.38197 | + | 1.00406i | −0.0489825 | + | 0.0355879i | ||||
\(797\) | −8.83282 | − | 27.1846i | −0.312874 | − | 0.962928i | −0.976621 | − | 0.214970i | \(-0.931034\pi\) |
0.663746 | − | 0.747958i | \(-0.268966\pi\) | |||||||
\(798\) | 2.23607 | + | 6.88191i | 0.0791559 | + | 0.243617i | ||||
\(799\) | −10.4721 | + | 32.2299i | −0.370478 | + | 1.14021i | ||||
\(800\) | 22.4721 | 0.794510 | ||||||||
\(801\) | 2.51471 | 0.0888529 | ||||||||
\(802\) | −3.02129 | + | 9.29856i | −0.106685 | + | 0.328344i | ||||
\(803\) | 0.763932 | + | 0.555029i | 0.0269586 | + | 0.0195866i | ||||
\(804\) | 12.9443 | − | 9.40456i | 0.456509 | − | 0.331673i | ||||
\(805\) | 32.6525 | 1.15085 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −35.7771 | −1.25941 | ||||||||
\(808\) | 5.42705 | − | 3.94298i | 0.190923 | − | 0.138714i | ||||
\(809\) | 2.76393 | + | 2.00811i | 0.0971747 | + | 0.0706015i | 0.635312 | − | 0.772256i | \(-0.280872\pi\) |
−0.538137 | + | 0.842857i | \(0.680872\pi\) | |||||||
\(810\) | 0.461493 | − | 1.42033i | 0.0162152 | − | 0.0499053i | ||||
\(811\) | −28.0000 | −0.983213 | −0.491606 | − | 0.870817i | \(-0.663590\pi\) | ||||
−0.491606 | + | 0.870817i | \(0.663590\pi\) | |||||||
\(812\) | 49.5967 | 1.74050 | ||||||||
\(813\) | 3.12461 | − | 9.61657i | 0.109585 | − | 0.337268i | ||||
\(814\) | 0.763932 | + | 2.35114i | 0.0267758 | + | 0.0824074i | ||||
\(815\) | −0.836881 | − | 2.57565i | −0.0293147 | − | 0.0902213i | ||||
\(816\) | −9.70820 | + | 7.05342i | −0.339855 | + | 0.246919i | ||||
\(817\) | −2.23607 | + | 6.88191i | −0.0782301 | + | 0.240768i | ||||
\(818\) | −13.0902 | + | 9.51057i | −0.457687 | + | 0.332529i | ||||
\(819\) | −6.23607 | − | 4.53077i | −0.217906 | − | 0.158318i | ||||
\(820\) | −3.50000 | − | 10.7719i | −0.122225 | − | 0.376171i | ||||
\(821\) | 29.5623 | + | 21.4783i | 1.03173 | + | 0.749597i | 0.968655 | − | 0.248412i | \(-0.0799086\pi\) |
0.0630771 | + | 0.998009i | \(0.479909\pi\) | |||||||
\(822\) | 12.1803 | + | 8.84953i | 0.424838 | + | 0.308663i | ||||
\(823\) | −8.56231 | − | 26.3521i | −0.298463 | − | 0.918575i | −0.982036 | − | 0.188693i | \(-0.939575\pi\) |
0.683573 | − | 0.729882i | \(-0.260425\pi\) | |||||||
\(824\) | −3.19098 | − | 2.31838i | −0.111163 | − | 0.0807648i | ||||
\(825\) | 8.00000 | − | 5.81234i | 0.278524 | − | 0.202360i | ||||
\(826\) | −1.80902 | + | 5.56758i | −0.0629438 | + | 0.193721i | ||||
\(827\) | −39.3607 | + | 28.5972i | −1.36870 | + | 0.994422i | −0.370868 | + | 0.928686i | \(0.620940\pi\) |
−0.997837 | + | 0.0657367i | \(0.979060\pi\) | |||||||
\(828\) | −5.67376 | − | 17.4620i | −0.197177 | − | 0.606848i | ||||
\(829\) | −11.3820 | − | 35.0301i | −0.395312 | − | 1.21665i | −0.928718 | − | 0.370786i | \(-0.879088\pi\) |
0.533406 | − | 0.845859i | \(-0.320912\pi\) | |||||||
\(830\) | −0.562306 | + | 1.73060i | −0.0195179 | + | 0.0600700i | ||||
\(831\) | 23.0557 | 0.799794 | ||||||||
\(832\) | −0.291796 | −0.0101162 | ||||||||
\(833\) | 17.7082 | − | 54.5002i | 0.613553 | − | 1.88832i | ||||
\(834\) | −8.29180 | − | 6.02434i | −0.287121 | − | 0.208606i | ||||
\(835\) | −2.00000 | + | 1.45309i | −0.0692129 | + | 0.0502861i | ||||
\(836\) | −7.23607 | −0.250265 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −18.6180 | −0.643149 | ||||||||
\(839\) | −8.94427 | + | 6.49839i | −0.308791 | + | 0.224349i | −0.731377 | − | 0.681973i | \(-0.761122\pi\) |
0.422587 | + | 0.906322i | \(0.361122\pi\) | |||||||
\(840\) | 9.47214 | + | 6.88191i | 0.326820 | + | 0.237448i | ||||
\(841\) | 7.21885 | − | 22.2173i | 0.248926 | − | 0.766115i | ||||
\(842\) | 9.49342 | 0.327165 | ||||||||
\(843\) | 21.0132 | 0.723732 | ||||||||
\(844\) | −0.409830 | + | 1.26133i | −0.0141069 | + | 0.0434167i | ||||
\(845\) | −3.54508 | − | 10.9106i | −0.121955 | − | 0.375338i | ||||
\(846\) | −1.81966 | − | 5.60034i | −0.0625612 | − | 0.192544i | ||||
\(847\) | −23.9894 | + | 17.4293i | −0.824284 | + | 0.598877i | ||||
\(848\) | −0.875388 | + | 2.69417i | −0.0300610 | + | 0.0925181i | ||||
\(849\) | −21.8885 | + | 15.9030i | −0.751213 | + | 0.545788i | ||||
\(850\) | −10.4721 | − | 7.60845i | −0.359191 | − | 0.260968i | ||||
\(851\) | 4.76393 | + | 14.6619i | 0.163305 | + | 0.502603i | ||||
\(852\) | 21.3262 | + | 15.4944i | 0.730625 | + | 0.530830i | ||||
\(853\) | −30.2705 | − | 21.9928i | −1.03644 | − | 0.753020i | −0.0668546 | − | 0.997763i | \(-0.521296\pi\) |
−0.969588 | + | 0.244743i | \(0.921296\pi\) | |||||||
\(854\) | −11.4721 | − | 35.3076i | −0.392568 | − | 1.20820i | ||||
\(855\) | 2.66312 | + | 1.93487i | 0.0910767 | + | 0.0661711i | ||||
\(856\) | −18.5172 | + | 13.4535i | −0.632906 | + | 0.459833i | ||||
\(857\) | 15.9656 | − | 49.1369i | 0.545373 | − | 1.67849i | −0.174728 | − | 0.984617i | \(-0.555905\pi\) |
0.720101 | − | 0.693869i | \(-0.244095\pi\) | |||||||
\(858\) | 1.52786 | − | 1.11006i | 0.0521604 | − | 0.0378968i | ||||
\(859\) | 11.7082 | + | 36.0341i | 0.399479 | + | 1.22947i | 0.925418 | + | 0.378947i | \(0.123714\pi\) |
−0.525940 | + | 0.850522i | \(0.676286\pi\) | |||||||
\(860\) | 1.61803 | + | 4.97980i | 0.0551745 | + | 0.169810i | ||||
\(861\) | −11.3262 | + | 34.8586i | −0.385997 | + | 1.18798i | ||||
\(862\) | −7.41641 | −0.252604 | ||||||||
\(863\) | −32.1803 | −1.09543 | −0.547716 | − | 0.836664i | \(-0.684502\pi\) | ||||
−0.547716 | + | 0.836664i | \(0.684502\pi\) | |||||||
\(864\) | 9.59675 | − | 29.5358i | 0.326488 | − | 1.00483i | ||||
\(865\) | 12.0902 | + | 8.78402i | 0.411078 | + | 0.298666i | ||||
\(866\) | −6.09017 | + | 4.42477i | −0.206952 | + | 0.150360i | ||||
\(867\) | 12.8754 | 0.437271 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 3.41641 | 0.115894 | ||||||||
\(870\) | 4.47214 | − | 3.24920i | 0.151620 | − | 0.110158i | ||||
\(871\) | −8.00000 | − | 5.81234i | −0.271070 | − | 0.196944i | ||||
\(872\) | 2.72542 | − | 8.38800i | 0.0922945 | − | 0.284053i | ||||
\(873\) | −2.86223 | −0.0968719 | ||||||||
\(874\) | 10.6525 | 0.360325 | ||||||||
\(875\) | 11.7812 | − | 36.2587i | 0.398276 | − | 1.22577i | ||||
\(876\) | 0.291796 | + | 0.898056i | 0.00985888 | + | 0.0303425i | ||||
\(877\) | −11.1074 | − | 34.1850i | −0.375070 | − | 1.15435i | −0.943431 | − | 0.331568i | \(-0.892422\pi\) |
0.568362 | − | 0.822779i | \(-0.307578\pi\) | |||||||
\(878\) | 10.5902 | − | 7.69421i | 0.357401 | − | 0.259667i | ||||
\(879\) | 3.23607 | − | 9.95959i | 0.109150 | − | 0.335929i | ||||
\(880\) | −3.00000 | + | 2.17963i | −0.101130 | + | 0.0734752i | ||||
\(881\) | −19.7082 | − | 14.3188i | −0.663986 | − | 0.482414i | 0.204021 | − | 0.978967i | \(-0.434599\pi\) |
−0.868007 | + | 0.496552i | \(0.834599\pi\) | |||||||
\(882\) | 3.07701 | + | 9.47008i | 0.103608 | + | 0.318874i | ||||
\(883\) | −32.1803 | − | 23.3804i | −1.08295 | − | 0.786813i | −0.104759 | − | 0.994498i | \(-0.533407\pi\) |
−0.978196 | + | 0.207685i | \(0.933407\pi\) | |||||||
\(884\) | 8.47214 | + | 6.15537i | 0.284949 | + | 0.207027i | ||||
\(885\) | −0.854102 | − | 2.62866i | −0.0287103 | − | 0.0883613i | ||||
\(886\) | 8.64590 | + | 6.28161i | 0.290465 | + | 0.211035i | ||||
\(887\) | 25.1353 | − | 18.2618i | 0.843959 | − | 0.613172i | −0.0795146 | − | 0.996834i | \(-0.525337\pi\) |
0.923474 | + | 0.383661i | \(0.125337\pi\) | |||||||
\(888\) | −1.70820 | + | 5.25731i | −0.0573236 | + | 0.176424i | ||||
\(889\) | 12.0902 | − | 8.78402i | 0.405491 | − | 0.294607i | ||||
\(890\) | 0.326238 | + | 1.00406i | 0.0109355 | + | 0.0336561i | ||||
\(891\) | −1.49342 | − | 4.59628i | −0.0500315 | − | 0.153981i | ||||
\(892\) | −2.00000 | + | 6.15537i | −0.0669650 | + | 0.206097i | ||||
\(893\) | −14.4721 | −0.484292 | ||||||||
\(894\) | −7.63932 | −0.255497 | ||||||||
\(895\) | −3.61803 | + | 11.1352i | −0.120938 | + | 0.372207i | ||||
\(896\) | 39.0066 | + | 28.3399i | 1.30312 | + | 0.946771i | ||||
\(897\) | 9.52786 | − | 6.92240i | 0.318126 | − | 0.231132i | ||||
\(898\) | −19.3475 | −0.645635 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −9.52786 | −0.317595 | ||||||||
\(901\) | 6.47214 | − | 4.70228i | 0.215618 | − | 0.156656i | ||||
\(902\) | 7.00000 | + | 5.08580i | 0.233075 | + | 0.169339i | ||||
\(903\) | 5.23607 | − | 16.1150i | 0.174245 | − | 0.536272i | ||||
\(904\) | −12.2361 | −0.406966 | ||||||||
\(905\) | 18.1803 | 0.604335 | ||||||||
\(906\) | −1.93112 | + | 5.94336i | −0.0641570 | + | 0.197455i | ||||
\(907\) | −6.10739 | − | 18.7966i | −0.202793 | − | 0.624131i | −0.999797 | − | 0.0201577i | \(-0.993583\pi\) |
0.797004 | − | 0.603974i | \(-0.206417\pi\) | |||||||
\(908\) | −1.23607 | − | 3.80423i | −0.0410204 | − | 0.126248i | ||||
\(909\) | −3.57295 | + | 2.59590i | −0.118507 | + | 0.0861005i | ||||
\(910\) | 1.00000 | − | 3.07768i | 0.0331497 | − | 0.102024i | ||||
\(911\) | 3.38197 | − | 2.45714i | 0.112050 | − | 0.0814088i | −0.530349 | − | 0.847779i | \(-0.677939\pi\) |
0.642399 | + | 0.766370i | \(0.277939\pi\) | |||||||
\(912\) | −4.14590 | − | 3.01217i | −0.137284 | − | 0.0997430i | ||||
\(913\) | 1.81966 | + | 5.60034i | 0.0602220 | + | 0.185344i | ||||
\(914\) | −10.4721 | − | 7.60845i | −0.346387 | − | 0.251665i | ||||
\(915\) | 14.1803 | + | 10.3026i | 0.468788 | + | 0.340594i | ||||
\(916\) | −6.70820 | − | 20.6457i | −0.221645 | − | 0.682154i | ||||
\(917\) | 41.1246 | + | 29.8788i | 1.35805 | + | 0.986684i | ||||
\(918\) | −14.4721 | + | 10.5146i | −0.477652 | + | 0.347034i | ||||
\(919\) | −1.70820 | + | 5.25731i | −0.0563484 | + | 0.173423i | −0.975270 | − | 0.221019i | \(-0.929062\pi\) |
0.918921 | + | 0.394441i | \(0.129062\pi\) | |||||||
\(920\) | 13.9443 | − | 10.1311i | 0.459729 | − | 0.334013i | ||||
\(921\) | −5.84095 | − | 17.9766i | −0.192466 | − | 0.592349i | ||||
\(922\) | 1.97871 | + | 6.08985i | 0.0651655 | + | 0.200559i | ||||
\(923\) | 5.03444 | − | 15.4944i | 0.165711 | − | 0.510005i | ||||
\(924\) | 16.9443 | 0.557426 | ||||||||
\(925\) | 8.00000 | 0.263038 | ||||||||
\(926\) | 5.61803 | − | 17.2905i | 0.184620 | − | 0.568202i | ||||
\(927\) | 2.10081 | + | 1.52633i | 0.0689998 | + | 0.0501313i | ||||
\(928\) | 32.8885 | − | 23.8949i | 1.07962 | − | 0.784389i | ||||
\(929\) | −20.0000 | −0.656179 | −0.328089 | − | 0.944647i | \(-0.606405\pi\) | ||||
−0.328089 | + | 0.944647i | \(0.606405\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 24.4721 | 0.802042 | ||||||||
\(932\) | 0.0729490 | − | 0.0530006i | 0.00238952 | − | 0.00173609i | ||||
\(933\) | 6.81966 | + | 4.95477i | 0.223266 | + | 0.162212i | ||||
\(934\) | 1.66312 | − | 5.11855i | 0.0544189 | − | 0.167484i | ||||
\(935\) | 10.4721 | 0.342475 | ||||||||
\(936\) | −4.06888 | −0.132996 | ||||||||
\(937\) | 8.32624 | − | 25.6255i | 0.272006 | − | 0.837149i | −0.717990 | − | 0.696054i | \(-0.754937\pi\) |
0.989996 | − | 0.141096i | \(-0.0450625\pi\) | |||||||
\(938\) | 6.47214 | + | 19.9192i | 0.211323 | + | 0.650384i | ||||
\(939\) | 8.11146 | + | 24.9645i | 0.264707 | + | 0.814686i | ||||
\(940\) | −8.47214 | + | 6.15537i | −0.276331 | + | 0.200766i | ||||
\(941\) | −11.7426 | + | 36.1401i | −0.382799 | + | 1.17814i | 0.555265 | + | 0.831674i | \(0.312617\pi\) |
−0.938064 | + | 0.346462i | \(0.887383\pi\) | |||||||
\(942\) | −9.20163 | + | 6.68537i | −0.299805 | + | 0.217821i | ||||
\(943\) | 43.6525 | + | 31.7154i | 1.42152 | + | 1.03279i | ||||
\(944\) | −1.28115 | − | 3.94298i | −0.0416980 | − | 0.128333i | ||||
\(945\) | −18.9443 | − | 13.7638i | −0.616257 | − | 0.447737i | ||||
\(946\) | −3.23607 | − | 2.35114i | −0.105214 | − | 0.0764422i | ||||
\(947\) | −9.56231 | − | 29.4298i | −0.310733 | − | 0.956338i | −0.977475 | − | 0.211050i | \(-0.932312\pi\) |
0.666742 | − | 0.745289i | \(-0.267688\pi\) | |||||||
\(948\) | 2.76393 | + | 2.00811i | 0.0897683 | + | 0.0652205i | ||||
\(949\) | 0.472136 | − | 0.343027i | 0.0153262 | − | 0.0111351i | ||||
\(950\) | 1.70820 | − | 5.25731i | 0.0554215 | − | 0.170570i | ||||
\(951\) | −21.9443 | + | 15.9434i | −0.711592 | + | 0.517002i | ||||
\(952\) | −15.3262 | − | 47.1693i | −0.496726 | − | 1.52877i | ||||
\(953\) | 9.97871 | + | 30.7113i | 0.323242 | + | 0.994837i | 0.972228 | + | 0.234037i | \(0.0751936\pi\) |
−0.648986 | + | 0.760801i | \(0.724806\pi\) | |||||||
\(954\) | −0.429563 | + | 1.32206i | −0.0139076 | + | 0.0428033i | ||||
\(955\) | 3.18034 | 0.102913 | ||||||||
\(956\) | −2.76393 | −0.0893920 | ||||||||
\(957\) | 5.52786 | − | 17.0130i | 0.178690 | − | 0.549953i | ||||
\(958\) | 18.3541 | + | 13.3350i | 0.592994 | + | 0.430835i | ||||
\(959\) | 67.5410 | − | 49.0714i | 2.18101 | − | 1.58460i | ||||
\(960\) | −0.291796 | −0.00941768 | ||||||||
\(961\) | 0 | 0 | ||||||||
\(962\) | 1.52786 | 0.0492603 | ||||||||
\(963\) | 12.1910 | − | 8.85727i | 0.392849 | − | 0.285421i | ||||
\(964\) | −39.7426 | − | 28.8747i | −1.28002 | − | 0.929992i | ||||
\(965\) | −1.69098 | + | 5.20431i | −0.0544347 | + | 0.167533i | ||||
\(966\) | −24.9443 | −0.802569 | ||||||||
\(967\) | 15.6393 | 0.502927 | 0.251463 | − | 0.967867i | \(-0.419088\pi\) | ||||
0.251463 | + | 0.967867i | \(0.419088\pi\) | |||||||
\(968\) | −4.83688 | + | 14.8864i | −0.155463 | + | 0.478467i | ||||
\(969\) | 4.47214 | + | 13.7638i | 0.143666 | + | 0.442158i | ||||
\(970\) | −0.371323 | − | 1.14281i | −0.0119225 | − | 0.0366936i | ||||
\(971\) | 22.6525 | − | 16.4580i | 0.726953 | − | 0.528162i | −0.161645 | − | 0.986849i | \(-0.551680\pi\) |
0.888598 | + | 0.458687i | \(0.151680\pi\) | |||||||
\(972\) | −6.79837 | + | 20.9232i | −0.218058 | + | 0.671113i | ||||
\(973\) | −45.9787 | + | 33.4055i | −1.47401 | + | 1.07093i | ||||
\(974\) | −7.38197 | − | 5.36331i | −0.236533 | − | 0.171852i | ||||
\(975\) | −1.88854 | − | 5.81234i | −0.0604818 | − | 0.186144i | ||||
\(976\) | 21.2705 | + | 15.4539i | 0.680852 | + | 0.494668i | ||||
\(977\) | −26.8992 | − | 19.5434i | −0.860581 | − | 0.625249i | 0.0674618 | − | 0.997722i | \(-0.478510\pi\) |
−0.928043 | + | 0.372473i | \(0.878510\pi\) | |||||||
\(978\) | 0.639320 | + | 1.96763i | 0.0204432 | + | 0.0629177i | ||||
\(979\) | 2.76393 | + | 2.00811i | 0.0883357 | + | 0.0641796i | ||||
\(980\) | 14.3262 | − | 10.4086i | 0.457635 | − | 0.332491i | ||||
\(981\) | −1.79431 | + | 5.52231i | −0.0572879 | + | 0.176314i | ||||
\(982\) | −20.1803 | + | 14.6619i | −0.643981 | + | 0.467879i | ||||
\(983\) | 14.9787 | + | 46.0997i | 0.477747 | + | 1.47035i | 0.842217 | + | 0.539138i | \(0.181250\pi\) |
−0.364470 | + | 0.931215i | \(0.618750\pi\) | |||||||
\(984\) | 5.97871 | + | 18.4006i | 0.190594 | + | 0.586589i | ||||
\(985\) | −4.76393 | + | 14.6619i | −0.151791 | + | 0.467166i | ||||
\(986\) | −23.4164 | −0.745730 | ||||||||
\(987\) | 33.8885 | 1.07868 | ||||||||
\(988\) | −1.38197 | + | 4.25325i | −0.0439662 | + | 0.135314i | ||||
\(989\) | −20.1803 | − | 14.6619i | −0.641697 | − | 0.466221i | ||||
\(990\) | −1.47214 | + | 1.06957i | −0.0467876 | + | 0.0339931i | ||||
\(991\) | 50.5410 | 1.60549 | 0.802744 | − | 0.596324i | \(-0.203372\pi\) | ||||
0.802744 | + | 0.596324i | \(0.203372\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 2.47214 | 0.0784509 | ||||||||
\(994\) | −27.9164 | + | 20.2825i | −0.885455 | + | 0.643320i | ||||
\(995\) | 0.854102 | + | 0.620541i | 0.0270769 | + | 0.0196725i | ||||
\(996\) | −1.81966 | + | 5.60034i | −0.0576581 | + | 0.177453i | ||||
\(997\) | 15.3607 | 0.486478 | 0.243239 | − | 0.969966i | \(-0.421790\pi\) | ||||
0.243239 | + | 0.969966i | \(0.421790\pi\) | |||||||
\(998\) | 20.6525 | 0.653743 | ||||||||
\(999\) | 3.41641 | − | 10.5146i | 0.108090 | − | 0.332668i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))